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**3 - 9195*r**2 - 3488*r?
408593388
Find the first derivative of 195051664*p**3 - 124954135.
585154992*p**2
What is the second derivative of 281292271*w**5 - 510*w - 780413 wrt w?
5625845420*w**3
What is the derivative of -63687318*u**3 + 562473557?
-191061954*u**2
What is the derivative of -95214738*c**2 + 8731439 wrt c?
-190429476*c
Find the second derivative of 3*x**3 + 9991986*x**2 + 30338174*x - 3 wrt x.
18*x + 19983972
Find the first derivative of 679*j**4 - 57858*j**3*k**2 + 165273892*k**2 + 3 wrt j.
2716*j**3 - 173574*j**2*k**2
Find the second derivative of 10468559*h**2 + 168384*h - 5.
20937118
Differentiate 121897106*d**2 + 99133476 with respect to d.
243794212*d
What is the second derivative of 1075406*l**3 + 170*l**2 - 2*l - 75651793 wrt l?
6452436*l + 340
What is the first derivative of -4*w**4 - 959839*w**3 + 16794031?
-16*w**3 - 2879517*w**2
Differentiate -34021230*q**4 + 15656616 wrt q.
-136084920*q**3
Find the third derivative of 12960721*n**3 - 5*n**2 + 21318*n + 13.
77764326
Find the third derivative of 59*o**5 - 102*o**4 + 9313*o**3 - 1534781920*o**2.
3540*o**2 - 2448*o + 55878
Differentiate -4179768*m**2*r + 3536405*m**2 wrt r.
-4179768*m**2
What is the second derivative of 56429776*m**5 - 50807987*m?
1128595520*m**3
What is the second derivative of -42150590*k**2 - 50925534*k?
-84301180
What is the third derivative of -13811*x*y**3 + 1692699*x*y**2*z + x*y**2 - 3*x*y*z - 136*y**4*z + 3*y**4 wrt y?
-82866*x - 3264*y*z + 72*y
What is the first derivative of -7225239*x + 8460038?
-7225239
Find the first derivative of 72912*j**2 + 831*j + 166853546.
145824*j + 831
What is the third derivative of 204*q**5 + 31445*q**4 + 2*q**3 + 14*q**2 + 76535*q - 9 wrt q?
12240*q**2 + 754680*q + 12
What is the derivative of 3651*p*w**2 + 519*p*w + p + 54253350*w**2 wrt p?
3651*w**2 + 519*w + 1
Find the second derivative of -91419126*m**2 - 162128943*m.
-182838252
Find the third derivative of 5*l*u*y**3 + l*u*y - 5*l*y**2 - 4621073*u*y**3 - 1755838*u*y**2 + u wrt y.
30*l*u - 27726438*u
Find the third derivative of 317297018*s**3 + 3136*s**2 - 30884*s wrt s.
1903782108
What is the third derivative of -16525*f*r**3 + 20*f*r + 356*r**3 + 1425730*r**2 wrt r?
-99150*f + 2136
What is the second derivative of 199836725*j**2 - 443399*j - 462 wrt j?
399673450
What is the derivative of -27*n**2 + 4783*n - 4781175 wrt n?
-54*n + 4783
What is the second derivative of 1993362*q**3 - 10453532*q?
11960172*q
What is the second derivative of 524854*c**3 + 3*c**2 + 98540997*c wrt c?
3149124*c + 6
Differentiate 1267*c**3*z - 167*c**3 - 6*c**2 - 4258*c*z**2 + 1020*c - 10 wrt z.
1267*c**3 - 8516*c*z
Find the second derivative of 535216*z**3 - 1981773*z.
3211296*z
What is the second derivative of 21203910*g**3 - 25824828*g wrt g?
127223460*g
What is the derivative of 132420*v**2 + 340*v - 26946351 wrt v?
264840*v + 340
What is the third derivative of -21436773*a**4*d + 357*a**2*d + 32*a*d + 2*a - 4*d wrt a?
-514482552*a*d
Find the third derivative of 3*f**5 + 380905960*f**4 + 13961*f**2 - 24*f - 149 wrt f.
180*f**2 + 9141743040*f
Find the third derivative of 5429*s**3*v**3 - 8*s**3*v**2 - 29*s**3 + 1153327*s**2 - 3*s*v**3 wrt s.
32574*v**3 - 48*v**2 - 174
Find the second derivative of -5*i**3*r**2 - 6*i**3*r*s + 7*i**3*r + 12088*i**2*r*s**3 - 14*i**2*r*s + 14374211*r**2*s**3 wrt r.
-10*i**3 + 28748422*s**3
What is the third derivative of 1520*g*p**2*u**3 - 24699*g*p**2*u**2 + 48*g*p**2 - 3*g*p*u**3 + 3*g*p*u**2 + 2*g*p + 38*u**3 wrt u?
9120*g*p**2 - 18*g*p + 228
Find the first derivative of -18988930*r + 32974737.
-18988930
What is the third derivative of -22*i**3*t + 2459236*i**3 - i**2*t + i**2 - 11059*i*t + 232*i - 2 wrt i?
-132*t + 14755416
What is the third derivative of 50193250*r**6 + 30912657*r**2?
6023190000*r**3
Find the third derivative of -4941*o**6 - 660*o**3 + 5848*o**2 - 357*o.
-592920*o**3 - 3960
What is the derivative of 9*r**4 + r**3 + 140062*r**2 + 237521658 wrt r?
36*r**3 + 3*r**2 + 280124*r
Find the first derivative of 838488*h*j - 7*h - 2841182*j + 2 wrt h.
838488*j - 7
Differentiate 1899*a*w - 21664971*a + 16911*w wrt w.
1899*a + 16911
Differentiate 1211*c*o**2 - 33*c*o - 10897*c + 90*o**2 + 151 wrt o.
2422*c*o - 33*c + 180*o
Differentiate 25*d*f**3 + 3*d*f**2 + 4*d*f - 28366*d - 774546644*f**3 with respect to d.
25*f**3 + 3*f**2 + 4*f - 28366
Find the second derivative of 56600901*q**2 - 18570*q - 1258.
113201802
Find the third derivative of -11*b*h**3*x + 377*b*h**3 - 8*b*h**2*x - 2479*b*h*x + 6*b*h - 25*h**3*x - 6*h**3 + 8*h**2 + 3*h wrt h.
-66*b*x + 2262*b - 150*x - 36
Find the third derivative of 15674662*t**3 - 4*t**2 + 21092*t - 4 wrt t.
94047972
Find the second derivative of -3*k**2*m**2*u + 1990961*k**2*u**3 - 4004*k*m**2*u**3 - 555*k*m*u - 26*m**2*u - m*u**3 wrt k.
-6*m**2*u + 3981922*u**3
What is the second derivative of -719466*c**5*o**2 - 57*c**2 + c*o**2 - 77*c + 38*o**2 + 2289*o wrt c?
-14389320*c**3*o**2 - 114
Find the second derivative of 3*v*w**2*y - 5633*v*w**2 - 10*v*w*y**2 - v*w*y - 54*v + 1345*w**2*y**2 + 6*w*y**2 - 41*y**2 wrt w.
6*v*y - 11266*v + 2690*y**2
Find the second derivative of -47*o**5 + 444981*o**4 - 6379*o + 1960 wrt o.
-940*o**3 + 5339772*o**2
Differentiate -32*u**2 + 186910*u + 24567638.
-64*u + 186910
Find the third derivative of 396812251*i**3 + 2*i**2 + 195091372.
2380873506
Find the second derivative of 10751*p**2*r**2*s - 14*p**2*r**2 - 60*p**2*r*s - 10*p**2 - 4*r**2*s - 18*r + 63*s wrt r.
21502*p**2*s - 28*p**2 - 8*s
Find the third derivative of -5593829*c*g**3 - 31*c*g**2 + 1199*c*g + 2*c - 16*g**4 + 46*g**2 - g + 2 wrt g.
-33562974*c - 384*g
Find the third derivative of 10398471*w**3*z**2 + 3*w**2*z**2 - w**2*z - 4*w*z**2 + 65*w*z + 354*z**2 wrt w.
62390826*z**2
What is the third derivative of -5*f**3*l**2 - 5083*f**3*l + 2*f**3 + 5208*f**2*l + 15*l**2 wrt f?
-30*l**2 - 30498*l + 12
What is the third derivative of 2*l**6 - 725*l**4 - 846*l**3 + l**2 - 23222414*l?
240*l**3 - 17400*l - 5076
What is the first derivative of -459*r**3 - 32*r**2 + 464*r*s - 13098*s + 3350 wrt r?
-1377*r**2 - 64*r + 464*s
Find the second derivative of -2905481*c**3*l**3 - c**2*l**2 + c*l**3 - 1081*c*l - 441 wrt c.
-17432886*c*l**3 - 2*l**2
Find the second derivative of 813326*f**2*n**3 - 27*f**2*n**2 - 2*f*n**3 - 3*f*n - n**2 - 18521*n - 6 wrt f.
1626652*n**3 - 54*n**2
What is the third derivative of 1412903*f**3*j**4 - 6455*f**3*j**2 + 9*f**3*j - 4*f*j**2 + 1 wrt j?
33909672*f**3*j
Find the third derivative of 47282812*o**6 + 3296*o**2 - 27*o + 41 wrt o.
5673937440*o**3
What is the third derivative of 6093642*b**3 - 3*b**2 - 348915*b?
36561852
Find the first derivative of -10870*n**3 - 1548*n - 144433751.
-32610*n**2 - 1548
Find the third derivative of -150046342*o**3*p*y**2 + 3*o**2*p*y**2 - 9*o**2*p + 2*o**2*y**2 + 2*o**2*y - 31*o*y**2 + p*y - 928 wrt o.
-900278052*p*y**2
Find the third derivative of -482663181*n**3*p*t**3 + 5*n**3*p*t**2 - 25*n**3*p*t - p*t - 63*p - 61 wrt t.
-2895979086*n**3*p
What is the second derivative of 15*i**3*v - 24*i**3 - 3365*i**2*v - 2*i**2 - 457839*i*v + 2*i + 2*v - 1 wrt i?
90*i*v - 144*i - 6730*v - 4
What is the third derivative of 4*k**6 - 15268646*k**5 + k**2 + 73474927*k?
480*k**3 - 916118760*k**2
Find the third derivative of -2*w**3*z**3 - 1387*w**3*z + 19*w**3 + 220370*w**2*z**3 - w*z**3 - 4*z**2 wrt z.
-12*w**3 + 1322220*w**2 - 6*w
What is the first derivative of -2677*m**2 - 27885*m - 97338546 wrt m?
-5354*m - 27885
What is the derivative of -h**3 - 30162*h**2 + 324*h - 43626211?
-3*h**2 - 60324*h + 324
What is the second derivative of 516419542*r*w**2 + 5*r*w + 461*r + 24094 wrt w?
1032839084*r
Find the first derivative of 2187*c*y**2 + 40*c*y + c + 12087*y**2 + 2*y - 148 wrt c.
2187*y**2 + 40*y + 1
What is the second derivative of -64770145*y**4 - 3748266*y wrt y?
-777241740*y**2
What is the derivative of 115*x**2 - 111940*x + 5014562?
230*x - 111940
Differentiate 14328210*n - 26988131 wrt n.
14328210
Find the third derivative of -2*c**4 + 18466594*c**3 - 2883*c**2 - 32*c - 2.
-48*c + 110799564
Find the third derivative of 6591814*u**3 + 64072*u**2 + 80*u wrt u.
39550884
What is the third derivative of 19416609*r**4 + 5440919*r**2?
465998616*r
What is the second derivativ | {
"pile_set_name": "DM Mathematics"
} |
1/5, to the nearest integer?
13
What is the square root of 211269 to the nearest integer?
460
What is the square root of 645374 to the nearest integer?
803
What is the third root of 165953 to the nearest integer?
55
What is the square root of 37700846 to the nearest integer?
6140
What is the cube root of 913621 to the nearest integer?
97
What is the sixth root of 362703 to the nearest integer?
8
What is the cube root of 836630 to the nearest integer?
94
What is 20217 to the power of 1/2, to the nearest integer?
142
What is 871654 to the power of 1/3, to the nearest integer?
96
What is 247467 to the power of 1/2, to the nearest integer?
497
What is the cube root of 9023174 to the nearest integer?
208
What is 219611 to the power of 1/2, to the nearest integer?
469
What is 2289298 to the power of 1/8, to the nearest integer?
6
What is the third root of 7869015 to the nearest integer?
199
What is the ninth root of 70854 to the nearest integer?
3
What is the third root of 23870 to the nearest integer?
29
What is the square root of 248331 to the nearest integer?
498
What is 891280 to the power of 1/9, to the nearest integer?
5
What is the square root of 1067670 to the nearest integer?
1033
What is the third root of 7259398 to the nearest integer?
194
What is the fourth root of 2987878 to the nearest integer?
42
What is the cube root of 1071012 to the nearest integer?
102
What is the square root of 2907156 to the nearest integer?
1705
What is the third root of 124250 to the nearest integer?
50
What is the square root of 2069599 to the nearest integer?
1439
What is the ninth root of 387599 to the nearest integer?
4
What is 23206491 to the power of 1/2, to the nearest integer?
4817
What is the fifth root of 13496715 to the nearest integer?
27
What is 2542451 to the power of 1/10, to the nearest integer?
4
What is the cube root of 1865361 to the nearest integer?
123
What is the square root of 1539493 to the nearest integer?
1241
What is 12821452 to the power of 1/5, to the nearest integer?
26
What is 10309967 to the power of 1/2, to the nearest integer?
3211
What is the tenth root of 2228147 to the nearest integer?
4
What is 8620800 to the power of 1/9, to the nearest integer?
6
What is 1479093 to the power of 1/10, to the nearest integer?
4
What is 11528893 to the power of 1/4, to the nearest integer?
58
What is 374712 to the power of 1/4, to the nearest integer?
25
What is 277721 to the power of 1/2, to the nearest integer?
527
What is 298806 to the power of 1/3, to the nearest integer?
67
What is 3685 to the power of 1/5, to the nearest integer?
5
What is 69203 to the power of 1/3, to the nearest integer?
41
What is 12049149 to the power of 1/10, to the nearest integer?
5
What is 2227170 to the power of 1/4, to the nearest integer?
39
What is the cube root of 10587 to the nearest integer?
22
What is the third root of 283550 to the nearest integer?
66
What is 3682142 to the power of 1/2, to the nearest integer?
1919
What is 934357 to the power of 1/3, to the nearest integer?
98
What is 185745 to the power of 1/10, to the nearest integer?
3
What is the third root of 92772 to the nearest integer?
45
What is 125391 to the power of 1/10, to the nearest integer?
3
What is the square root of 14880738 to the nearest integer?
3858
What is the cube root of 1864878 to the nearest integer?
123
What is the cube root of 1430971 to the nearest integer?
113
What is the fifth root of 320182 to the nearest integer?
13
What is the tenth root of 8795944 to the nearest integer?
5
What is the eighth root of 73241 to the nearest integer?
4
What is 5245569 to the power of 1/5, to the nearest integer?
22
What is 222212 to the power of 1/8, to the nearest integer?
5
What is 783451 to the power of 1/3, to the nearest integer?
92
What is the fourth root of 6322907 to the nearest integer?
50
What is the ninth root of 4723626 to the nearest integer?
6
What is 4954939 to the power of 1/2, to the nearest integer?
2226
What is 625583 to the power of 1/3, to the nearest integer?
86
What is 1105849 to the power of 1/3, to the nearest integer?
103
What is the fourth root of 4820344 to the nearest integer?
47
What is the seventh root of 243476 to the nearest integer?
6
What is the third root of 1164032 to the nearest integer?
105
What is 446693 to the power of 1/2, to the nearest integer?
668
What is 5822009 to the power of 1/10, to the nearest integer?
5
What is 1857604 to the power of 1/9, to the nearest integer?
5
What is the third root of 233532 to the nearest integer?
62
What is the fifth root of 19896305 to the nearest integer?
29
What is the ninth root of 1594430 to the nearest integer?
5
What is the sixth root of 8996299 to the nearest integer?
14
What is 90191 to the power of 1/9, to the nearest integer?
4
What is 17870 to the power of 1/8, to the nearest integer?
3
What is 611308 to the power of 1/2, to the nearest integer?
782
What is the fourth root of 1118653 to the nearest integer?
33
What is 14745 to the power of 1/2, to the nearest integer?
121
What is the square root of 108392 to the nearest integer?
329
What is 122853 to the power of 1/2, to the nearest integer?
351
What is the cube root of 84341 to the nearest integer?
44
What is the third root of 332050 to the nearest integer?
69
What is 16016358 to the power of 1/2, to the nearest integer?
4002
What is 93009 to the power of 1/2, to the nearest integer?
305
What is the eighth root of 863969 to the nearest integer?
6
What is 4200385 to the power of 1/4, to the nearest integer?
45
What is the ninth root of 1397307 to the nearest integer?
5
What is 15064640 to the power of 1/10, to the nearest integer?
5
What is the square root of 99390 to the nearest integer?
315
What is the third root of 83089 to the nearest integer?
44
What is 8697449 to the power of 1/6, to the nearest integer?
14
What is the tenth root of 1026978 to the nearest integer?
4
What is the cube root of 40133 to the nearest integer?
34
What is the fifth root of 565274 to the nearest integer?
14
What is the seventh root of 4589455 to the nearest integer?
9
What is the tenth root of 1654237 to the nearest integer?
4
What is the ninth root of 734041 to the nearest integer?
4
What is 20226801 to the power of 1/3, to the nearest integer?
272
What is 9587236 to the power of 1/2, to the nearest integer?
3096
What is the third root of 18469 to the nearest integer?
26
What is the square root of 835249 to the nearest integer?
914
What is 2651104 to the power of 1/3, to the nearest integer?
138
What is the fifth root of 2029594 to the nearest integer?
18
What is 164562 to the power of 1/2, to the nearest integer?
406
What is the ninth root of 215580 to the nearest integer?
4
What is the square root of 6433795 to the nearest integer?
2536
What is 258492 to the power of 1/2, to the nearest integer?
508
What is the eighth root of 211862 to the nearest integer?
5
What is 6178804 to the power of 1/2, to the nearest integer?
2486
What is 427546 to the power of 1/9, to the nearest integer?
4
What is 2090494 to the power of 1/2, to the nearest integer?
1446
What is 589068 to the power of 1/3, to the nearest integer?
84
What is the tenth root of 790372 to the nearest integer?
4
What is 68526 to the power of 1/10, to the nearest integer?
3
What is 3417875 to the power of 1/4, to the nearest integer?
43
What is the seventh root of 973961 to the nearest integer?
7
What is 29868635 to the power of 1/3, to the nearest integer?
310
What is the cube root of 7032568 to the nearest integer?
192
What is the third root of 4636413 to the nearest integer?
167
What is the seventh root of 78796 to the nearest integer?
5
What is 1927912 to the power of 1/2, to the nearest integer?
1388
What is the third root of 1101573 to the nearest integer?
103
What is 20871018 to the power of 1/4, to the nearest integer?
68
What is 16522206 to the power of 1/3, to the nearest integer?
255
What is 10664864 to the power of 1/10, to the nearest integer?
5
What is the ninth root of 58986 to the nearest integer?
3
What is the square root of 519582 to the nearest integer?
721
What is 307460 to the power of 1/5, to the nearest integer?
13
What is the tenth root of 34942112 to the nearest integer?
6
What i | {
"pile_set_name": "DM Mathematics"
} |
o?
True
Suppose -3*t = 1 + 8. Let s(d) = d**3 + 6*d**2 + 2*d + 1. Let u be s(t). Suppose 10 = 5*z, 5*a + 0*z = -z + u. Is 4 a factor of a?
True
Suppose 5*l = r - 35, -2*r + 5*l - 15 = -70. Is r a multiple of 4?
True
Suppose 2*l + 11 - 1 = 0. Does 15 divide (-2)/l - 118/(-5)?
False
Suppose 3*k - 3*f + 0*f - 72 = 0, -25 = -5*f. Is 9 a factor of 2/(-4) + k/2?
False
Suppose 6*w + 25 = w. Let t(c) = c + 9. Let u be t(w). Suppose -u*z = -3*z - 10. Is z a multiple of 5?
True
Let j = 81 + -139. Let i = j + 101. Is 11 a factor of i?
False
Let q(s) = s**3 + 4*s**2 - s + 2. Let u be q(-4). Let o(w) = w**2 + w - 6. Let t be o(u). Suppose -3*l - 39 = -3*d - 2*l, 0 = 3*d - 2*l - t. Does 9 divide d?
False
Suppose -2*b + 39 + 13 = 0. Is b a multiple of 14?
False
Let q = -7 + 12. Suppose 8*l = q*l + 81. Suppose 129 = 4*f - l. Is 13 a factor of f?
True
Suppose 0 = -4*n + j + 33, 4*n - n + 4*j = 20. Let c = 5 - n. Is 35*1 - (-6)/c a multiple of 11?
True
Let g(m) = m**2 - 2*m - 3. Let k be g(3). Let j be 1 - 0 - (1 - k). Does 12 divide 23 - (j + 1 + -2)?
True
Suppose -5*s + 98 = 4*u - 45, -137 = -4*u - 3*s. Is 13 a factor of u?
False
Let q = 3 + 2. Suppose 5*n + 6 = 5*d - 19, 29 = 4*d + q*n. Is 29 + 2/(d/9) a multiple of 11?
False
Suppose -5*d = -15, 2*d - 9 = 4*m + 5. Let n(j) = -2*j + 1. Let t be n(m). Suppose t*l = -2*f + 216, 7*l - 2*l - 5*f - 195 = 0. Does 15 divide l?
False
Let w = 137 + -98. Is w a multiple of 10?
False
Let k = -17 - -31. Is 2 a factor of k?
True
Let r(z) = 3*z**3 - 3*z**2 + 3. Is 41 a factor of r(4)?
False
Suppose 0*d + 12 = -2*d. Does 6 divide ((-12)/(-7))/(d/(-21))?
True
Let u(z) = 30*z - 2. Let x be u(-2). Suppose -g = -4*g + 12. Is 13 a factor of 1/2 - x/g?
False
Let v = 125 - 2. Is v a multiple of 11?
False
Let z(u) = -u**3 + 5. Let h be z(0). Suppose -v + 3*l = -l, h*l = -2*v + 26. Does 6 divide v?
False
Suppose -2*q + 1 + 7 = 0. Suppose -v - 5*j = 2 - q, 0 = 3*j. Let r(b) = 13*b - 2. Is 6 a factor of r(v)?
True
Suppose -448 - 280 = -2*a. Suppose -4*k = l - a, 91 = k - l + 2*l. Does 25 divide k?
False
Suppose -4*p = 2*u - 0*p - 288, -3*p - 668 = -5*u. Does 17 divide u?
True
Suppose 0 = -3*c - 2*v + 298, 3*c + 4*v - 297 = v. Is c a multiple of 4?
True
Let z be 1/(2*3/30). Suppose z*a - 15 = 2*a. Does 2 divide a?
False
Let j(h) = h - 9. Let i be j(14). Let a be ((-4)/(-2))/(2/73). Suppose -i*g = -27 - a. Is 10 a factor of g?
True
Let n be 4/6 + (-46)/6. Does 20 divide (-219)/n + 4/(-14)?
False
Let m(z) = z**3 - 21*z**2 + 3*z + 43. Is 23 a factor of m(21)?
False
Let r = 39 + 39. Suppose 0 = 6*q - 4*q - r. Does 20 divide q?
False
Let w = 19 + -13. Is 3 + 6/(-3 + w) even?
False
Let h(a) = -8*a**3 - 6*a**2 - 7*a + 2. Does 28 divide h(-2)?
True
Let p = -1 - -4. Let z(i) = -i + 2. Let x be z(p). Is 5 a factor of 2 + x + (13 - 4)?
True
Suppose 5*m - 35 = -2*l, -2*m - 5 = 3*m. Suppose s - 3*s = -l. Does 5 divide s?
True
Suppose g = -5*g + 144. Let f = 14 + g. Does 10 divide f?
False
Suppose -5*g = -20 + 230. Does 12 divide g/70 - (-88)/5?
False
Let q(d) = 36*d - 27. Is 18 a factor of q(4)?
False
Let u(v) = 2*v**2 - 3*v - 1. Does 6 divide u(5)?
False
Suppose 5*g - 6 + 21 = 0. Let x = g + 14. Is x a multiple of 3?
False
Let q = 120 + 9. Is 20 a factor of q?
False
Let d = -34 - -67. Suppose 5*c - 18 = 2*n - 1, -2*c = -4*n + 6. Let z = n + d. Does 15 divide z?
False
Let c(d) = d**2 - 2*d - 9. Let x be c(-7). Let s = 82 - x. Does 14 divide s?
True
Let y(v) = -v**2 - 6*v - 5. Let m be y(-4). Suppose 9 = m*d + 12. Is 9 a factor of 26 + 3 + d + -1?
True
Suppose -x + 0*x - 1 = 0. Does 14 divide ((-14)/(-5))/(x/(-10))?
True
Let m = 390 + -257. Is 26 a factor of m?
False
Let u(p) = p**3 + 5*p**2 - 8*p - 8. Let w be u(-6). Suppose -40 = -0*t - w*t. Does 9 divide t?
False
Let t(z) = 11*z**2 - z - 2. Is 7 a factor of t(2)?
False
Let t be (-1)/4 + 25/4. Suppose t*g = 2*q + 3*g - 91, 4*g - 170 = -5*q. Does 14 divide q?
False
Suppose -3*m + 5*u = 2*m - 70, -30 = -2*m + u. Is m a multiple of 16?
True
Suppose -3*d - 2*d + 220 = 0. Let l(t) = 5*t**2 - 2*t + 1. Let z be l(1). Suppose z*h = 20 + d. Does 8 divide h?
True
Is (-4 + (-368)/(-6) - 4)*3 a multiple of 20?
True
Suppose 14 + 22 = b. Is b a multiple of 36?
True
Let q = -75 - -42. Let u = 13 - q. Is u a multiple of 13?
False
Let i be 2/3 + 20/6. Let p(t) = -t**3 + 7*t**2 - 5*t + 3. Let r be p(6). Suppose r = i*k - 51. Does 8 divide k?
False
Suppose 0*m = 3*m - 822. Let d = m + -165. Is d a multiple of 24?
False
Suppose 259 + 77 = 4*p. Is p a multiple of 21?
True
Suppose 5*v - x + 0*x = 123, 18 = v + 2*x. Suppose 4*o - v = o. Is o a multiple of 3?
False
Suppose 3*u + s + 288 = -117, -3*s - 405 = 3*u. Is u/(-12) + 1/(-4) a multiple of 11?
True
Let o = -105 + 414. Is 45 a factor of o?
False
Suppose 0 = 5*c - 3*f + 21, -2*f = 5*c - 4*f + 24. Suppose -l - 60 = -6*l. Let j = c + l. Does 3 divide j?
True
Let l(u) = -u + 3. Let p be l(3). Suppose -v = -p*v + 3, 3*n = -2*v + 6. Let t(s) = s**3 - 2*s**2 - 5*s + 3. Does 5 divide t(n)?
True
Suppose -4*d = -5*o - 221, -o + d - 3*d - 47 = 0. Let q = o + 84. Is q a multiple of 13?
True
Let z = -19 - -49. Does 11 divide z?
False
Let j(b) = -1 + 3*b + 3*b - 3*b. Let v be j(4). Let h = 18 - v. Is 7 a factor of h?
True
Let a be (-1 + 1)/(3 + -4). Suppose -6 = 4*k - 22. Suppose 2*d - l + 5 = k*l, a = 2*d - 3*l - 1. Does 5 divide d?
True
Let j be (-1 + 3)/(-2)*-100. Is 9 a factor of (-3)/(-6)*j/2?
False
Let w be -1 - -3 - 1*-33. Let q = -50 + 31. Let l = w + q. Is 6 a factor of l?
False
Suppose 17*o - 5*o - 48 = 0. Is 4 a factor of o?
True
Let o = 51 + -5. Is o a multiple of 28?
False
Let a(z) = -7*z**3 + 2*z**2 + 2*z. Let t be a(-2). Suppose -s = -4*s + t. Is 11 a factor of s?
False
Suppose -5*x + 1123 = -4*u - 132, -2*u = -4*x + 1010. Is 17 a factor of x?
True
Suppose -x + 88 = 5*q, 0 = 2*x + x - 2*q - 264. Does 12 divide x?
False
Suppose 0 = -2*z + z + 4. Suppose 0 = v - 11 - z. Does 5 divide v?
True
Let u(b) = -b**3 + 11*b**2 - 11*b + 2. Let f be u(8). Suppose -i = i - f. Does 18 divide i?
False
Let a(x) be the first derivative of 10*x**4 - x**3/3 + x + 2. Is 20 a factor of a(1)?
True
Suppose -24 = -o + 2*j, 2*j = -2*o - 0*o + 42. Is o a multiple of 6?
False
Let q(x) = x - 2. Let l be q(1). Is 3 + l/(3/(-54)) a multiple of 9?
False
Suppose t = 67 + 8. Is 6 a factor of t?
False
Suppose -s + 431 = -2*y, 5*s - 10*s + 2165 = -5*y. Is s a multiple of 46?
False
Suppose 16 + 19 = -5*t. Let z = t + 12. Suppose -2*l = d - 15, -2*d + 5*l = -z - 7. Is d a multiple of 9?
False
Suppose 5*y = 10 + 15. Suppose -y*u + 20 = -30. Is 5 a factor of u?
True
Let m(q) = 2*q + q + q - 1 + 13*q. Is 5 a factor of m(1)?
False
Let s(j) = -j**2 - 7*j + 3. Let i be s(-7). Suppose f - 4 = -i. Is 4 a factor of (f - (2 - 3)) + 6?
True
Let k = 2 - 2. Suppose k = -3*t + 21 + 15. Let q = t - 7. Is q a multiple of 2?
False
Suppose 1 = 3*g - 5. Let m(a) = 0*a - g*a - 4 + 2 + 4*a**2. Is m(-2) a multiple of 18?
True
Let g(x) = 5*x**2 - 4*x + 3. Does 11 divide g(3)?
False
Suppose -4*f - v + 1008 = 0, 0*v = -2*f - v + 504. Is f a multiple of 36?
True
Suppose -4*u + 3*u = -10. Is u a multiple of 3?
False
Let r(o) = o - 6. Let m be r(6). Let z(f) = f**3 + f**2 + 45. Is 20 a factor of z(m)?
False
Suppose 0 = 2*q - q - 16. Is 9 a factor of q?
False
Let k(a) = a**3 - 5*a**2 - 6*a - 5. Let i be k(6). Let j = i - -9. Does 4 divide j?
True
Let c(f) = 2*f - 4. Let y be c(5). Let n be y*(1 - (-2)/(-4)). Is 2 + -1 + n + 11 a multiple of 15?
True
Let b = 7 + -3. Suppose -k = -b*y + 12, 3*y + 30 = -5*k + 8*y. Let h = k + 6. Is h even?
True
Suppose 17 + 0 = x. Is 9 a factor of x?
False
Let v = -1 - -9. Let d(h) = h**3 - 7*h**2 - 8*h - 4. Let b be d(v). Is 2 + (b + 3)*-29 a multiple of 15?
False
Suppose -2*a - 3 = -7. Let r be 24/20*15/6. Suppose a*g = -r*g + 110. Is g a multiple of 11?
True
Let t be (-384)/27 - 6/(-27). Is (-6)/21 - 102/t a multiple of 2?
False
Let y be 3 - 3/(-3) - 2. Suppose 0*f + y*f - 37 = -m, -f + 5*m + 46 = 0. Does 11 divide f?
False
Let s = -16 - -16. Suppose -4*m = -2*n - 135 - 217, -m - n + 82 = s. Is m a multiple of 24?
False
Is 52 a factor of 8/(-10)*-5*13?
True
Suppose -2*u + 3*u = 5*p - 1110, 3*p = -u + 674. Is p a multiple of 23?
False
Let z be 7*3*100/42. Suppose 7*t - 2*t - z = 0. Is 4 a fac | {
"pile_set_name": "DM Mathematics"
} |
(1031/180)
Simplify ((((j**(-1)*j)/j*j*j**(2/21))/(j/j**(3/7)*(j**(-12)*j)/j*j))**(-1/74))**47 assuming j is positive.
j**(-10387/1554)
Simplify ((x**3*x)**(-47))**(2/15)/((x**(-1)*x)**(4/11))**(1/22) assuming x is positive.
x**(-376/15)
Simplify ((((u*(u*u/(u*((((u/(u/u**(1/3))*u*u)/u)/u)/u)/u*u)*u)/u*u)**(-3/8))**42)**(-8))**(24/13) assuming u is positive.
u**(11088/13)
Simplify ((x/x**(-9)*x)/x**5*x**(-14)*x**(-4/11))**(-10/7) assuming x is positive.
x**(920/77)
Simplify ((c/((c**(-13/4)/c)/c)*(c/((c*(c/(c*c*c**(-11)*c))/c)/c)*c*c*c)/c)/(c**(-15)*c/(c/(c/(c*c**(-2/19)))*c)*c))**(-30) assuming c is positive.
c**(-18405/38)
Simplify ((((v*(v/v**(-2/3))/v)/v)**(1/29)*v**12/v*v/(v/(v**10*v)))**(-22))**(-5/13) assuming v is positive.
v**(210760/1131)
Simplify ((m*(m*m/m**(-18))/m)/(m*m**(-2/25)/m*m)*(m**(2/3))**0)**(6/7) assuming m is positive.
m**(2862/175)
Simplify (y**(-1)*y)**(-2/37)/(y**(-1)*y**6)*(y/y**(-9)*y**(-7))**(2/15) assuming y is positive.
y**(-23/5)
Simplify (r**(-13)/r**(-8/3))/(r**(-8/15)/(r**(-1/31)*r)) assuming r is positive.
r**(-1369/155)
Simplify ((w**(-1/2)*w*w)**(-38))**(6/5)*(((w*w*w**(-2/5)*w)/w*w)/w)**4/((w**(1/2)*w)/w*w**(-7)) assuming w is positive.
w**(-111/2)
Simplify ((s**(-2/11)*s)/s**(-1/4))**(-5/14)/(s**(-3/5)/s*s*((s/s**(2/9))/s)/s)**37 assuming s is positive.
s**(1858369/27720)
Simplify (z**(-37/2)/(z*z**34*z*z*z*z*z))/((z*z**(-26))/(z/(z/(z/z**43)))) assuming z is positive.
z**(-151/2)
Simplify (z**24)**(-2/15)*(z/z**(3/5)*z)/(z*z/(z/z**(4/3))) assuming z is positive.
z**(-62/15)
Simplify ((i**(6/17)*i*i*i**(-6/5)*i*i)/(i**(-2/13)/i**(-33)))**14 assuming i is positive.
i**(-459354/1105)
Simplify ((u/(u/(u*(u*u**(-2/5))/u))*(u**(-2/9)*u)/u)/(u**6/u*u*u/(u*(u*u*u/u**(-2/25))/u)*u))/((u**(-4)/u)/u**1)**(-3/11) assuming u is positive.
u**(-15292/2475)
Simplify ((o**(-1/4))**34*(o*o**4*o*o)/o**8)/(o**(5/3)*o**(-5/3)*((o**2*o)/o)**0) assuming o is positive.
o**(-19/2)
Simplify (d**0/d*d**12/d)**(-14)*(((d/(d**3*d))/d)**18)**39 assuming d is positive.
d**(-2948)
Simplify (d**(1/14)/d**(1/8)*d**(-11)*d**(-2/17))**(7/5) assuming d is positive.
d**(-2127/136)
Simplify ((l**(4/15))**(1/5)/((l/l**(2/17))/l)**39)**(1/48) assuming l is positive.
l**(2959/30600)
Simplify ((((k/k**5)**(-10/11))**(-7))**(-17))**(7/5) assuming k is positive.
k**(6664/11)
Simplify ((i/((i**(-2/23)*i*i*i)/i))/i*i**1)**9*(i*i*i**(4/5)*i*i*i*i/i**(-6/11))**(-17) assuming i is positive.
i**(-168359/1265)
Simplify (d*d**(2/13)*d*d**(-4/7))/((d*d**(-8)/d*d)/(d*d**(-1/3)/d))*((d*d**5*d)/(d*d/(d**(-3)*d)))**(1/10) assuming d is positive.
d**(23339/2730)
Simplify ((l**(-1))**(-8/3)*(l*l*l**2)/l**(-4))/((l/(l/l**7)*l/l**2)/(l**(-1)/l)**(2/17)) assuming l is positive.
l**(226/51)
Simplify ((((p*p**(-4))/p)/p*p*p**(1/2))/(p**(-1/2))**(-42))/(((p*p**(2/17))/p)/p**(-2/3))**(11/4) assuming p is positive.
p**(-2719/102)
Simplify (u**0*u/u**1*u**(-2)*u**(-1/5)/u)/((u/(u**(-2/3)/u)*u)**(5/8)*(u**0)**(-3/4)) assuming u is positive.
u**(-659/120)
Simplify (x**11/x*x/(x/(((x*x/x**22)/x)/x))*x**10/x**(10/11))**(-13) assuming x is positive.
x**(416/11)
Simplify ((n*n**(2/15)/n)**(-4)*(n*n**(-1/5))/(n/(n*n/n**(-2/9))))**4 assuming n is positive.
n**(268/45)
Simplify (p/(p*p**6)*p**(4/5)*p/p**3*p/(p/(p*p**(1/5))))/((p**(-1))**(-2/15)*(p*p/(p*p**(1/9)*p))/(p*p**1/p)) assuming p is positive.
p**(-226/45)
Simplify ((r/((r*r/(r/(r/(r**(-4/9)/r)*r)))/r))/r**(1/3)*r**(-8)/r**7)/(r*r**(-11)*r*r**0)**(-50) assuming r is positive.
r**(-4210/9)
Simplify ((i*((i*i**(-3)*i*i*i*i*i)/i)/i*i)**(5/4)/(i**17*i/i**2))**(-2/11) assuming i is positive.
i**(49/22)
Simplify (k**(-2/83))**(33/2)/((k**(6/7)/k)/k)**44 assuming k is positive.
k**(28985/581)
Simplify ((d/d**6)/d**(-3)*(d**(-2/3))**(-4))/((d*d**(-2/9))/d*d*(d/d**(-5))/d*(d**(-1)*d)**(7/3)) assuming d is positive.
d**(-46/9)
Simplify ((o*o**1)**(-13)/((o*o**(-2/5))/(o*o**(-7))))/((o/(o*o*o**0*o)*o*o*(o*o**(-4))/o)/(o**(2/3)*o**(-9))) assuming o is positive.
o**(-554/15)
Simplify ((s**(-20)*s/((((s**1*s*s)/s)/s)/s))/(s**(-6))**(-4/25))**(-1/28) assuming s is positive.
s**(499/700)
Simplify (d**(-2/5))**(-2/121)/(d/(((d*d*d*d**(-7))/d)/d)*d**(-2/9))*(d**(1/7)*d**(3/7))**(7/9) assuming d is positive.
d**(-11483/1815)
Simplify ((t/((t**(-1/6)/t)/t*t)*t)/t*t*t**(-3/2)*t)**(10/9)/(((t*t**(-1/6)/t)/t**(-3))/(t**(-3/4)*t**(-1/4))) assuming t is positive.
t**(-47/54)
Simplify ((g**(-1/2))**(-28/3)/((g*g*g**(2/9))/((g**6*g)/g*g)))/(g/g**(-1/2)*g*g**(2/7)*g*(g**0)**44) assuming g is positive.
g**(713/126)
Simplify ((h/(h/(h/(h**0*h))))**44)**(25/7)*(h*h**(-2/7)*h)**8*(h**(1/2)/h)**(-46) assuming h is positive.
h**(257/7)
Simplify ((g*g**(-8/5)*g*g**(-3))/(g**(-7)/(g**(1/15)*g)))/(((g*g**(-2/3))/g)**(1/5))**35 assuming g is positive.
g**(152/15)
Simplify (((s*s/(s/(s**4*s)*s))**(-1/72)*(s*s*s/(s*s/((s*s/(s**14*s))/s)))/s*((s**(-4)/s)/s)/s)**(5/3))**(-5/8) assuming s is positive.
s**(37925/1728)
Simplify (((y*y*(y/(y/y**7)*y)/y)/y*(y*y/(y*y/y**4)*y*y)/y)/(y/(y*y**0)*y/(y*y*y*y*(y**(3/7)/y)/y)*y))/((y**(2/5)/y)**(-1/15))**23 assuming y is positive.
y**(2189/175)
Simplify ((o**(-6)*o/(o/(o/(o/o**6*o))))/(o**(2/5)/o*o/(o*o**(-12/13))))**(-22) assuming o is positive.
o**(1892/65)
Simplify y**18*(y*y*y**(-12)*y*y)/y*(y**22/y)/y**(-2) assuming y is positive.
y**32
Simplify (((n/n**(-1/4))**(1/31)*n**(-1/7)/(n/(n*((((n/n**(-1/8))/n*n)/n)/n*n)/n)))**(1/26))**(5/9) assuming n is positive.
n**(-8485/406224)
Simplify (((n**(-6)/n)/n)/(n*(n*n**4)/n*n))**(1/46)*n/(n**(-3/2)/n)*n*n*n**0*(n**(2/9))**(2/163) assuming n is positive.
n**(350797/67482)
Simplify ((q**(-5)/(q**(1/5)/q*q*q))/(q**(-1)/q)**35)/((q**(1/3)/q*q*q/q**(-4))/((q*(q*q*q**(-2/5))/q)/q*q)**(3/11)) assuming q is positive.
q**(9719/165)
Simplify (v*v*(v*v/v**(-2/9)*v)/v*v*v**(3/2)*(v**(2/5)/v)**(-13))**(-2/59) assuming v is positive.
v**(-1307/2655)
Simplify (x**(-3/8)*x**(2/3))**(-7)/((((x**(-1)/x)/x)/x*x*x)/(x*x*x**(-2/11))*(x/(x**0*x*x))**(2/75)) assuming x is positive.
x**(3967/2200)
Simplify f**(-2/3)*f*f**(-20)*f**(19/5)*f*f*f**(-1)*f assuming f is positive.
f**(-208/15)
Simplify ((m*m**(-6))/(m/(m**(5/4)*m)))/(m/m**1)**(-2/51)*((m**(-1))**3)**(-3/11) assuming m is positive.
m**(-129/44)
Simplify (b**(3/5)/b**2)**(-1)*b/(b**(2/15)/b*b)*(b/(b/b**(2/7)*b*b))/b*b*(b/(b/(b**(2/7)*b)))**40 assuming b is positive.
b**(5458/105)
Simplify ((x*x*(x*x*x**1)/x*x)/(x**(2/9)*x*x))**(-3/5)*((x/x**(1/4))/x**(-4))**(-39) assuming x is positive.
x**(-2243/12)
Simplify ((m/(m/m**(-2/17)))**34*m**25/(m*m*m**(-1/29)))**(-1/10) assuming m is positive.
m**(-276/145)
Simplify k*k*k**6*k*k**5*k*(k/(k/k**(-1)))**(-1/25)*((k**(-2/17)*k)/((k/(k**0/k))/k*k))**44 assuming k is positive.
k**(-14508/425)
Simplify ((z**1*z)**(1/4))**(1/5)/((z/z**1)**(-2/13)*z**(-6/11)*(z*z**(1/2))/z) assuming z is positive.
z**(8/55)
Simplify ((v/(v/v**(-9)))/(v/(v/((v/v**(1/6)*v)/v))))**8/(v/(v/v**5)*v*(v*v*v**(-6)*v)/v*(v*v**(-2/19))/(v**(-1)/v)) assuming v is positive.
v**(-4763/57)
Simplify (i**3/(i*i**(-1)/i)*((i/i**(-5))/i*i)**(-39))**21 assuming i is positive.
i**(-4830)
Simplify (v**18/v)**(4/3)/(v**(5/4))**(-35) assuming v is positive.
v**(797/12)
Simplify ((k**(-2/3))**(-43))**(-6/5)/((k**1*k/k**4)/(k**(-2/7))**10) assuming k is positive.
k**(-1234/35)
Simplify (((x*(x*x**(5/2))/x*x*x**(1/7))/(x**(-7)/((x/(x/(x/(x/x**(-3/11)*x)))*x)/x)))**(3/28))**(-13) assuming x is positive.
x**(-62283/4312)
Simplify (k**(-1/7)/k**(-2/9))/((k/(k*k/(k*k*k*k**7*k)))/(k**(-3/4)/k))*((k*((k/k**2)/k)/k)/k**4)/(k*k**(-3/8)*k*k/k**(-5/4)) assuming k is positive.
k**(-10859/504)
Simplify (((b**(2/7))**(-30)/(b/(b*(b*b**7)/b)*b*b/(b*b**(-4/5))))**(2/7))**(14/9) assuming b is positive.
b**(-472/315)
Simplify w**(1/6)/w**2*(w/w**(3/8)*w)/(w*w**(-6))*((((((w**(-1/3)/w*w)/w)/w)/w)/w)**(-14))**(-18) assuming w is positive.
w**(-26093/24)
Simplify ((l**(-1))**18)**(19/4)/((l/l**2)**(5/6)/(l**(5/3)/l**(1/5))) assuming l is positive.
l**(-416/5)
Simplify (j**(-7)*j**0*j**(-6)/(j**(-6)/j))**(3/41) assuming j is positive.
j**(-18/41)
Simplify (z**7*z*z**(-13))**(-17/4)*(z/(z/(z*(z*z**2)/z))*z)**(-18)*z*z**(-4/7)/z*z*z*z*z**(-3/8) assuming z is positive.
z**(-2727/56)
Simplify ((s**1)**2)**(2/31)*(s/(s/s**(-1)))**(-33)/(s**(-1/4)*s**(-3/7)) assuming s is | {
"pile_set_name": "DM Mathematics"
} |
third derivative of -98552*h**2*k**4 - 79*h**2*k - 3*h*k**4 - 10518*h*k**2 wrt k?
-2365248*h**2*k - 72*h*k
Differentiate 633*u**3 + 76*u**2 - 2*u - 2317950 with respect to u.
1899*u**2 + 152*u - 2
Find the third derivative of 539127*k**3*y**2 + 3*k**3*y + 15*k**2*y**2 + 126*k**2*y - 15*k wrt k.
3234762*y**2 + 18*y
Find the third derivative of -128155*u**6 - 3*u**5 + 2*u**2 + 1400*u - 2.
-15378600*u**3 - 180*u**2
Find the third derivative of t**4 - 449351*t**3 - 28000*t**2 - 3*t.
24*t - 2696106
Differentiate -1447*d**2*z - 90156*d**2 + 3*d*z + 7*z with respect to z.
-1447*d**2 + 3*d + 7
Find the second derivative of -447462*c**4 + 32374*c - 13.
-5369544*c**2
Find the second derivative of -3785789*c**2 - 589760*c - 1 wrt c.
-7571578
What is the derivative of 24592*q**4 - 4*q**3 - q - 1523695 wrt q?
98368*q**3 - 12*q**2 - 1
Find the second derivative of 29*n**3*o**2 - 4*n**3*o + 1205*n**3 + 82*n**2*o**2 + 2*n*o**2 wrt o.
58*n**3 + 164*n**2 + 4*n
What is the second derivative of -r**5 - 372879*r**4 - 2*r**2 + 1293*r - 67 wrt r?
-20*r**3 - 4474548*r**2 - 4
Find the first derivative of 48*r*z**2 + 10210*r*z + 4147926*z**2 wrt r.
48*z**2 + 10210*z
Find the second derivative of 1732*i**4 + 48*i**3 - 16562*i wrt i.
20784*i**2 + 288*i
Find the third derivative of -34014*d**6 + 22*d**5 + 4322061*d**2.
-4081680*d**3 + 1320*d**2
Differentiate -1554*h**3*w + 19*h**2 - 3132*w + 27 with respect to h.
-4662*h**2*w + 38*h
What is the first derivative of 347*k**4*y**2 + 7*k*y**3 + y**3 + 2*y**2 + 1468 wrt k?
1388*k**3*y**2 + 7*y**3
Find the second derivative of -2*q*w**2*z**3 - 15227*q*w**2*z**2 + q*w*z**3 + 2*q*z**3 + 7*w - 368*z**3 wrt w.
-4*q*z**3 - 30454*q*z**2
Differentiate 593933*k*p**3 + 918121*p**3 wrt k.
593933*p**3
What is the second derivative of -610689*x**5 + 753019*x?
-12213780*x**3
Find the first derivative of 432904*o**2 - 1184299.
865808*o
Find the third derivative of 226293*b**4 + 368359*b**2.
5431032*b
Differentiate 658223*v - 157968.
658223
Find the first derivative of 39505*h**3 - 30750.
118515*h**2
Find the second derivative of -119162*b**2 + 5119*b + 2.
-238324
What is the derivative of -41001*k*n**2 - 2*k*n - n**2 + 29*n - 366 wrt k?
-41001*n**2 - 2*n
What is the third derivative of 20223*c**4*j**3 + 44*c**4*j**2 + 2*c**2*j**3 - 10*c**2*j**2 + c*j**3 + 755*c*j**2 + c*j wrt c?
485352*c*j**3 + 1056*c*j**2
What is the third derivative of -1529638*i**3*n**6 + 30*i**3*n**2 - 733*i wrt n?
-183556560*i**3*n**3
What is the derivative of 81278*o**4 - 17931?
325112*o**3
What is the second derivative of -20970*a*c**2*j - 2*a*c*j + 21*a*c + a - 2*c**2*j - 62*c*j wrt c?
-41940*a*j - 4*j
What is the first derivative of -40*x**2 + 26800*x - 1811519?
-80*x + 26800
Find the second derivative of 135621*y**4 + 327593*y.
1627452*y**2
Differentiate u**4 - 5*u**3 - 523*u**2 - 2*u - 61814.
4*u**3 - 15*u**2 - 1046*u - 2
What is the first derivative of z**3 + 5113*z**2 - 37*z - 350310 wrt z?
3*z**2 + 10226*z - 37
Find the second derivative of 4178972*s**2 - 20433*s - 76 wrt s.
8357944
What is the first derivative of -981*a**3*i + 26*a**3 + 26*i**2 + 4*i + 3202 wrt i?
-981*a**3 + 52*i + 4
What is the first derivative of -69764*n + 486269 wrt n?
-69764
What is the second derivative of -75080*f**3 - 3233*f + 29?
-450480*f
Find the first derivative of 285834*i**4 + 17026.
1143336*i**3
Find the third derivative of 1637*d**5*w + 9*d**3*w - 9336*d**2 - 9*w wrt d.
98220*d**2*w + 54*w
Find the third derivative of -10893*b**5 + 2*b**4 - 382*b**2 - 22 wrt b.
-653580*b**2 + 48*b
Differentiate -23605*m + 28209 with respect to m.
-23605
What is the first derivative of 98217*t**3*y + 176*t**3 - 407*t - 1 wrt y?
98217*t**3
What is the third derivative of -74297*y**3 - 424296*y**2 wrt y?
-445782
What is the first derivative of 478364*i + 2045364?
478364
Find the second derivative of 33530*t**2 + 29*t + 19.
67060
What is the third derivative of -47*h**3*l**4 + 1883*h**3*l**2 + h**3 + h**2*l**2 - 2*h**2 - h + 4692*l**4 + l**3 wrt l?
-1128*h**3*l + 112608*l + 6
What is the derivative of 66*i**2*j + 974275*i**2 - 1875*i*j + 2*j wrt j?
66*i**2 - 1875*i + 2
What is the second derivative of -18*v**5 - 28*v**4 + 2*v**3 - 25741*v?
-360*v**3 - 336*v**2 + 12*v
Find the second derivative of -56748*j**5 + 65360*j.
-1134960*j**3
What is the derivative of 27*h**2*u + 4608*h**2 + 137*u - 2 wrt u?
27*h**2 + 137
Differentiate -86543*w + 284463.
-86543
Differentiate 35*i**3 - 2*i**2 - 167*i - 49760 wrt i.
105*i**2 - 4*i - 167
Find the third derivative of 37*x**6 - 1101*x**3 + x**2 - 1539.
4440*x**3 - 6606
Find the second derivative of -17*j**3 - 1398*j**2 - 397502*j.
-102*j - 2796
Find the second derivative of -3413*l**2*t**3*z - 2*l**2*t**3 + 6*l**2*t*z + 6*l*t*z - 21997*l*z - 3*t**3*z + 2*z wrt l.
-6826*t**3*z - 4*t**3 + 12*t*z
What is the third derivative of 32*n**6 + 17577*n**4 + 71*n**2 - 221*n + 1 wrt n?
3840*n**3 + 421848*n
What is the second derivative of -31636*v**4 + 312*v - 559?
-379632*v**2
Differentiate 94*g**3*z**4 + 2*g**3 - 282*g*q*z**4 - 4461*q with respect to z.
376*g**3*z**3 - 1128*g*q*z**3
Find the second derivative of -266863*n**4 - 4528484*n wrt n.
-3202356*n**2
Find the third derivative of -3*t**4*u - 2*t**4 - 1375*t**3*u - 5*t**3 - 17*t**2 + 6*t*u + 77*t - 3*u wrt t.
-72*t*u - 48*t - 8250*u - 30
Find the second derivative of -589*b**2*f**2 + 2*b**2*f*x**2 - 2*b**2*x**2 + 5*b*f**2*x**2 - 43*b*f - 4*b*x**2 - 3*b*x - 2*f**2*x**2 wrt b.
-1178*f**2 + 4*f*x**2 - 4*x**2
Find the third derivative of -13095*k**2*x**6 - 4*k**2*x**3 - 1356*k**2*x + k*x**2 + 9 wrt x.
-1571400*k**2*x**3 - 24*k**2
What is the second derivative of -k**2*o**2 + 2*k**2*o - 13839*k**2 - 1469*k*o**2 + 3*o**2 + 1 wrt o?
-2*k**2 - 2938*k + 6
Find the second derivative of -561031*g**3 - 97*g + 418 wrt g.
-3366186*g
Find the second derivative of 131*p**3*z**3 - 174*p**3 + 16*p**2*z**5 - 138*z wrt z.
786*p**3*z + 320*p**2*z**3
Find the first derivative of 296843*o**4 + 327612 wrt o.
1187372*o**3
Find the first derivative of 666*h*w**3 + 28*h - 265*w**3 + 2*w**2 - 2 wrt h.
666*w**3 + 28
Find the second derivative of g**2*q**2 + 87558*g**2*q - 167340*g*q**2 + g*q wrt g.
2*q**2 + 175116*q
What is the derivative of -469430*c**3 + 290032?
-1408290*c**2
Find the second derivative of -97*a*j**2*n + 4*a*j*n - 2*a*n**2 - 32*a*n + 748*j**2*n**2 + 331*j*n**2 wrt j.
-194*a*n + 1496*n**2
What is the third derivative of -l**5 + 5952*l**4 + 2*l**2 + 1443*l + 1?
-60*l**2 + 142848*l
Find the third derivative of 2860736*y**3 - 14*y**2 + 153434 wrt y.
17164416
Find the second derivative of -84*a**2*c**5 - 8177*a**2*c**3 + 1120*a**2*c + 180*a**2 + a wrt c.
-1680*a**2*c**3 - 49062*a**2*c
What is the third derivative of -6*b**2*h**3 - b**2*h**2*t - 2*b**2 - b*h**3*t + 68*h**3*t - 19*h**2*t + 17*h**2 + t wrt h?
-36*b**2 - 6*b*t + 408*t
What is the derivative of 6356320*s**3 - 3705200?
19068960*s**2
What is the third derivative of -661*h**4 + 14*h**3 + 86*h**2 + 813*h + 1 wrt h?
-15864*h + 84
Find the second derivative of 8*f**3*p + 9*f**3 + 17*f**2*p**3 + f*p**3 + 2*f*p**2 + 2*f - 252*p**3 wrt f.
48*f*p + 54*f + 34*p**3
What is the second derivative of 3*w**4 + 41*w**3*x - 26*w**3 + 86*w*x - w - x + 8 wrt w?
36*w**2 + 246*w*x - 156*w
What is the third derivative of 525021*s**3 + 37*s**2 + 2068*s wrt s?
3150126
What is the first derivative of -14750*n**2*p + 4*n**2 + 2*n*p + 11643*n wrt p?
-14750*n**2 + 2*n
Find the second derivative of -233893*v**2 + 4*v - 101643 wrt v.
-467786
What is the third derivative of -209526*m**3 + 6801504*m**2 wrt m?
-1257156
Find the first derivative of 87095*b**3 + 138018 wrt b.
261285*b**2
Differentiate 3*c**4*m + 3313*c**2*m - 28856*m wrt c.
12*c**3*m + 6626*c*m
What is the second derivative of -489*h**2*q**5 + 830*h**2 - 525*h*q**4 + 228*q wrt q?
-9780*h**2*q**3 - 6300*h*q**2
Find the first derivative of f**3*m*s + 10373*f**3*s**3 + 4818*f**2*m*s**3 - 2*s**3 wrt m.
f**3*s + 4818*f**2*s**3
Differentiate -n**3 - 1191*n**2 - 8*n + 34858 with respect to n.
-3*n**2 - 2382*n - 8
What is the third derivative of -1939*u**4 - 4*u**3 + 133*u**2 + 14*u + 4?
-46536*u - 24
Find the second derivative of 1708*a**5 + 93*a**3 - 2*a - 434235 wrt a.
34160*a**3 + 558*a
Find the third derivative of -19220*o**4 - 13*o**3 - | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of s(v).
2, 31
Suppose 82*c - 105394 = 117236. What are the prime factors of c?
3, 5, 181
Let u(f) = -76*f**2 + 2*f - 1. Let k be u(1). Let m = k + 139. List the prime factors of m.
2
Let o = 2291 - 1280. List the prime factors of o.
3, 337
Let j(h) = -h**2 + 8*h - 2. Let u be j(8). Let n be ((-18)/(-21))/(u/(-182)). Suppose 6 = 3*c, -4*i + n = -i + 3*c. What are the prime factors of i?
2, 3
Let m be (36192/72)/(2/3). Suppose 9*s - m = 632. What are the prime factors of s?
2, 7, 11
What are the prime factors of 2/4 - (-37012)/152?
2, 61
Suppose 0 = f - k - 153, -2*f + 4*k = -k - 294. What are the prime factors of f?
157
Suppose 5*k - 2*k - 7 = 4*s, 5*k - 3*s = 19. Suppose k*d + 7 = 4*w - 13, 0 = -w + d + 4. Suppose -c + 32 = -w*c. What are the prime factors of c?
2
Suppose -9*u = -6*u - 3. Let x be u/(24/28 + -1). List the prime factors of (-201)/x - 2/(-7).
29
Let p = -1235 + 2643. List the prime factors of p.
2, 11
Suppose 0*d = 5*d - 60. Let w(r) = -23 + r + 12 + 13. List the prime factors of w(d).
2, 7
Let g(l) = 17*l**2 - 42*l - 12. What are the prime factors of g(9)?
3, 7, 47
Let a(f) be the first derivative of 8*f**3/3 - f**2/2 + 6*f - 8. What are the prime factors of a(-3)?
3
Suppose -7*m - 187 + 3883 = 0. List the prime factors of m.
2, 3, 11
Let r(c) = -c**3 - 2*c**2 - 7*c + 2. Let f be r(4). Let s = 215 + f. What are the prime factors of s?
3, 31
Suppose 0 = -2*r - 3*a + 3908, 51*a - 46*a + 9770 = 5*r. List the prime factors of r.
2, 977
Suppose a + 4 = 3*y - 8, 2*y - 4*a - 18 = 0. Suppose 0 = -h - y*f + 39, -2*h + 32 + 47 = 5*f. Suppose -h = -3*x + 30. What are the prime factors of x?
2, 3
Suppose 606*y = 601*y + 1240. List the prime factors of y.
2, 31
Suppose -35 - 349 = -6*k. List the prime factors of k.
2
Let k(x) = -x**3 - 5*x**2 - x - 1. Let c be k(-5). Let w be 10/c*6/15. Suppose -w - 1 = -o. List the prime factors of o.
2
Let v = -676 - -1435. What are the prime factors of v?
3, 11, 23
Let g = -40 - 4. Let q = 12 - g. List the prime factors of q.
2, 7
Suppose 3*s + 6 = -d + 2*s, 2*d = 3*s - 12. What are the prime factors of (258/(-18) + -1)/(4/d)?
23
Suppose 2*g - 2*q = 282, -3*g = -g - 4*q - 288. Let d = g + -41. List the prime factors of d.
97
Let y be (-623)/(-14) + (-3)/6. Suppose -f = 13 - y. Suppose 0 = 5*m - 2*c - f, -4*m - 7 = 3*c - 41. List the prime factors of m.
7
List the prime factors of (-25 + 1)*-7*4.
2, 3, 7
Suppose 0 = -2*g - 28*p + 29*p + 2850, -4*g + 5728 = 5*p. List the prime factors of g.
1427
Let p(j) = j**3 + 2*j**2. Let h be p(-2). Suppose u + 4*y + 7 = -58, u - 3*y + 30 = h. Let d = -23 - u. List the prime factors of d.
2, 11
Let r be (-92)/3*45/(-6). Suppose -r = -8*h + 3*h. What are the prime factors of h?
2, 23
Let a = 21 + -36. Let p = a - -3. Let s = p + 31. List the prime factors of s.
19
Let s = -17 - -21. Suppose 227 = 3*i + s*t, 0 = -i + t - 0*t + 85. List the prime factors of i.
3
Let u = -62 + 152. Suppose f - u = -f. What are the prime factors of f?
3, 5
Let j be 3/(-1) + -1 + 161. Suppose 5*k = 3*b - 214, -k + 467 - j = 5*b. List the prime factors of b.
3, 7
Suppose 13946 = 16*n - 4310. What are the prime factors of n?
7, 163
Let q(l) = 11*l + 50. Let n be 5/(25/10) + 3. List the prime factors of q(n).
3, 5, 7
Suppose -2*j - 5*t - 67 = 0, 0*j + 5*t = -3*j - 88. Suppose 2*s = -3*a - 2*a - 116, -3*s - 5*a = 164. Let r = j - s. What are the prime factors of r?
3
Suppose 4*w + 5*a - 2279 = 3*w, 0 = -w - a + 2259. List the prime factors of w.
2, 7, 23
Suppose -14*c + 150 = -9*c. List the prime factors of 15/c + 3/((-12)/(-230)).
2, 29
Let k be (2 - -7) + 0 + 4/(-2). Let o = k + 28. List the prime factors of o.
5, 7
Let p(n) = n**2 - 19*n - 137. List the prime factors of p(26).
3, 5
Let v(s) = -99*s + 176. List the prime factors of v(-17).
11, 13
Let u be (-12 - 1)/(3 + 1 + -3). What are the prime factors of (39/u - 184/6)*-3?
101
List the prime factors of 40/(-6)*(-17655)/110.
2, 5, 107
Suppose -4*f = -2*m - 22, 16 = -m - 3*m + f. Let o(l) = l + 2. Let b be o(m). List the prime factors of 2/(b + (-49)/(-47)).
47
Suppose -3131 = -7*g - 387. List the prime factors of g.
2, 7
Let i be (6 - -2)*(-42)/8. Let m = 49 + -55. List the prime factors of 14/i - 224/m.
37
Suppose 4*v + y = 18091, 51*v - y = 49*v + 9041. List the prime factors of v.
2, 7, 17, 19
Suppose 528 = -6*h + 126. Let m = h - -124. Let x = m + 1. List the prime factors of x.
2, 29
What are the prime factors of (-95)/4*(-1320)/75?
2, 11, 19
Suppose v - 821 = -2*z + 223, 4*z - 3130 = -3*v. What are the prime factors of v?
2, 521
Let i = -296 - -450. What are the prime factors of i?
2, 7, 11
Suppose 0 = -2*h - 2*h + 2*c - 10, 4*h - 5 = -3*c. Let v = h + 4. Suppose 0*z - 39 = -v*z. What are the prime factors of z?
13
Let q be 14/(-7)*(-2)/(-4). Let u(p) = -29*p**3 - 2*p - 1. Let v be u(q). Suppose -5*a - v = -5*y, 0*y - 2*a = 2*y + 4. List the prime factors of y.
2
Let m(g) = 5*g**3 - 10*g**2 + 14*g + 25. List the prime factors of m(8).
11, 17
Let k be 13541/66 + 2/(-12). What are the prime factors of ((-2)/2)/((-5)/k)?
41
Let b = 1399 + 673. List the prime factors of (102/(-8))/((-111)/b).
2, 7, 17
Suppose 3917 = -28*j + 14921. What are the prime factors of j?
3, 131
Suppose 2*g - 8 = 0, 0 = -3*w - 0*w + 2*g - 2. Suppose -86 = -w*t + 118. Let f = -60 + t. What are the prime factors of f?
2, 3, 7
Let r = 32 + -18. Let v = 27 - r. Suppose -b - 2 = -v. What are the prime factors of b?
11
Let l = 36 + -50. Let s be (12/l)/((-2)/(-14)). What are the prime factors of s/7*(-140)/10?
2, 3
Suppose 0*k - 5*k + 28 = -2*j, -k + 5*j + 24 = 0. Suppose 74 = 3*w + k*x - 12, 10 = 5*x. Suppose -5*l + w = -274. List the prime factors of l.
2, 3, 5
Let i = 80 + -221. Let k = 309 + i. List the prime factors of k.
2, 3, 7
Let w(f) = -f**2 + 6*f + 2. Let d be w(6). Suppose 4 = -d*l + 40. What are the prime factors of l + 3*(-8)/(-12)?
2, 5
Let n = -8 + 17. Let z = n + -13. What are the prime factors of 0 - -1*(3 - z)?
7
List the prime factors of 4064/40*(-5)/(-2).
2, 127
Let f = -5215 - -7301. What are the prime factors of f?
2, 7, 149
Suppose 24*x - 20*x - g = 1911, 0 = -x + 3*g + 486. List the prime factors of x.
3, 53
Suppose -3*k = 2*k - 15. Suppose -2*w + n = 18, -n + k*n - 28 = 3*w. What are the prime factors of (w + 7)/(1/(-19))?
19
Let y be 12/7 + ((-8)/(-7))/4. What are the prime factors of 0 + 158 + (y + -1 - 2)?
157
Let p(v) = 2*v + 11. Let s be p(16). Suppose -349 = -9*m - s. List the prime factors of m.
2, 17
Let t be -78 - (-1 - 8/(-4)). Let x = 157 + t. What are the prime factors of x?
2, 3, 13
Let z = 2450 - 1889. List the prime factors of z.
3, 11, 17
Suppose 0 = 5*o + 5, 3*g + o = 3*o + 41. Suppose -g*r + 18*r = 790. What are the prime factors of r?
2, 79
Let p be (-2)/(-6) + (-100)/(-6). Let d = -16 + p. List the prime factors of (8 - 31)*-1*d.
23
Let u = 83 + 623. What are the prime factors of u?
2, 353
Let u = 447 + 149. List the prime factors of u.
2, 149
Suppose -51*a - 1190 = -61*a. List the prime factors of a.
7, 17
Let w be (1 - -2) + 1 + -4. What are the prime factors of (w - 10/(-4))*32/20?
2
Let y(m) = -13*m**2 - 2*m + 4. Let j(g) = 12*g**2 + 2*g - 6. Let u(d) = -3*j(d) - 4*y(d). Let r be ((-1)/1*2)/1. What are the prime factors of u(r)?
2, 31
Suppose -9201 - 5450 = -13*l. What are the prime factors of l?
7, 23
Suppose 19*d = 27*d - 40. Suppose 1048 = d*j - 572. What are the prime factors of j?
2, 3
Suppose u = -4*u - k, 5*k = 5*u. List the prime factors of (17 + -57)*(-1 - u).
2, 5
Let g(u) = 4*u**2 + 11*u - u**2 - 3 + 0*u - 4*u**2. What are the prime factors of g(6)?
3
Let d(p) = p + 13. Let a be d(-7). Let t(l) = -l**3 + 3. Let s be t(0). Suppose r = s*r - a. What are the prime factors of r?
3
Let z(y) be the third derivative of 0*y + 0 - 3*y**2 + 1/30*y**5 - 1/24*y**4 + 1/6*y**3. What are the prime factors of z(3)?
2
Let n(z) = 4*z - 1. Let k be n(1). Suppose -3*i + y = -236 - 96, 4*i = y + 442. Suppose l + 3*l = k*m + 85, 2*m = -4*l + i. List the prime factors of l.
5
Let h = 3 - -16. Suppose -h*c = -17*c - 124. What are the prime factors of c?
2, 31
Let f = 10 - 11. Let w = f - -7. Suppose o + 115 = w*o. List the prime factors of o.
23
Let w = -7 + 11. Suppose -w*v + 26 = -34. What are the prime fact | {
"pile_set_name": "DM Mathematics"
} |
t one hundred thousand.
1200000
Let x = -10466778079010308.50000009 + 10466777905557599. Let f = -173452708 - x. Let q = 1.5 - f. Round q to seven decimal places.
-0.0000001
Let n = -81.99 - -81.989992515. Round n to six dps.
-0.000007
Suppose 0 = 60*x - 59*x + 6. Let l be 3 + (x/18)/(2/42). Let q = l - 34. What is q rounded to the nearest 10?
-40
Let z = 29213.77 + -29366. Round z to the nearest ten.
-150
Suppose 0 = -3*m + 3*b + 13371, 4*m - b = 3337 + 14494. Round m to the nearest one hundred.
4500
Let z be (-74)/4 - (-2)/4. Let r be ((-12)/z)/(2/9948). Suppose -2*h - 4*b - r = h, -3*b - 1112 = h. Round h to the nearest 1000.
-1000
Let x = 0.54161862 + -0.5415. Round x to 5 decimal places.
0.00012
Let f = -1.72 - 42.28. Let s = f - -44.00000952. Round s to six decimal places.
0.00001
Let q = -127 + 194. Let o = 67.000044 - q. What is o rounded to five dps?
0.00004
Let p = 22 + 12. Let k = 654618.545 + -654584.5449999. Let g = p - k. Round g to six decimal places.
0
Let i = -375.3 + 375.31553. Round i to three dps.
0.016
Let u = -907.7721 - -912.12. Let s = 4.32 - u. Round s to two decimal places.
-0.03
Let g = -0.15393 + -29.05107. What is g rounded to the nearest 10?
-30
Let g = 6.2931 + 2771.6069. Round g to the nearest 10.
2780
Suppose 5*x + 1870 = 2*z, 2*z + 533 = -2*x - 215. Let n = -222 - x. Let f be (n/(-95) - 4/10) + 4. What is f rounded to the nearest integer?
2
Let y = 0.0351619 - 0.03509. What is y rounded to 5 decimal places?
0.00007
Let l = -60.513 - 0.487. Let f = 1.095 + 60.205. Let o = l + f. What is o rounded to the nearest integer?
0
Let l = -164092.24192 - -168239.2412258. Let s = l - 4147. What is s rounded to four dps?
-0.0007
Let d = 0.0512746 + -0.0516. What is d rounded to five decimal places?
-0.00033
Let i = 4934 - 4934.3164. Round i to 2 dps.
-0.32
Let h(k) = 1246*k + 6. Let q be h(3). Suppose 2*d = 4*d - q. Let s = 12072 - d. What is s rounded to the nearest 1000?
10000
Let t = -450 + 840. Let j = t + -389.99999503. Round j to 7 dps.
0.000005
Let q = 199077 - 199182.147. What is q rounded to the nearest 10?
-110
Let c = -28648 - -28648.24699. What is c rounded to three dps?
0.247
Let h = 6022.5000026989 - 6022.5. What is h rounded to six decimal places?
0.000003
Let i = 5065.6219 - 5066. Let f = -216.361 - -216. Let z = i - f. What is z rounded to 3 decimal places?
-0.017
Suppose 0 = -67*y + 71*y + 16. Let i(r) = -r**2 + 3*r - 3. Let d be i(2). Let w be 4/y + -14 + d. What is w rounded to the nearest 10?
-20
Let g be (-50*37871)/(-10) + (2 - 0). Let q = -278057 + g. Round q to the nearest ten thousand.
-90000
Let j = -0.03122 - -0.05801. Round j to 3 decimal places.
0.027
Let a be (-7 - -9)*(-2 + 9). Suppose 0 = -16*b + a*b + 50156. Suppose 0 = 5*r - b - 114922. Round r to the nearest 100000.
0
Let j = 3.19 + -0.02. Let g = -12.67 + j. Round g to the nearest integer.
-10
Let t = -135.016 - -5560.116. Round t to the nearest 100.
5400
Let l = -123.822553 - -10.820623. Let n = l - -113. What is n rounded to four decimal places?
-0.0019
Let k(p) = -p + 11. Let w be k(7). Suppose -6*q + 4 = -w*q. Suppose -q*y - y = 153. Round y to the nearest ten.
-50
Suppose -2*x - 5*z - 2956 + 25406 = 0, -56158 = -5*x + 4*z. What is x rounded to the nearest one hundred?
11200
Let p = 162 + -171.1. Let c = p + -5.1. Let v = c + 3.7. Round v to the nearest integer.
-11
Let o = 190922704 + -178523084.9. Let v = -12399589.1000006 + o. Let f = v + -30. Round f to six dps.
-0.000001
Let x(k) = -196798*k - 566. Let o be x(3). What is o rounded to the nearest ten thousand?
-590000
Let c = -11264 + 11264.0000016386. What is c rounded to seven dps?
0.0000016
Let q = 1160730 + -795430. Round q to the nearest ten thousand.
370000
Suppose 82*o - 1588110 = 76*o. Let p = -59685 + o. Round p to the nearest one hundred thousand.
200000
Let c = 5.92 - 304.92. Let q = 220.5 + c. Round q to 0 dps.
-79
Let o = -7.6436 + 7.64421231. What is o rounded to 4 dps?
0.0006
Let i = 0.26 - 1.76. Let h = -1.50000812 - i. What is h rounded to 6 decimal places?
-0.000008
Let z = 76 - 75.946. Let u = z - 0.002. Let o = 0.0519687 - u. Round o to 5 dps.
-0.00003
Let l = 24.2 + 225.8. Let i = l - 541. Let u = -290.99999743 - i. Round u to 6 dps.
0.000003
Let i = 4062 - 7636. Let k = -3573.9997119 - i. Round k to 5 dps.
0.00029
Let x = 147.4 - -57.8. Let f = -63.4 + x. Round f to the nearest ten.
140
Let y = -10726 + 10655.71. Let j = y - 45.73. Let z = 116 + j. What is z rounded to 1 dp?
0
Let p = 26 + 23. Let g = p - -18. Let c = -66.836 + g. Round c to two dps.
0.16
Let l = -26671.99983043 - -26672. Round l to five decimal places.
0.00017
Let b = 502 + -230. Let h = -271.999889 + b. Round h to 5 decimal places.
0.00011
Let v = -944.3 + 944.299997599. Round v to seven dps.
-0.0000024
Suppose -250*c = -221*c + 69774000. What is c rounded to the nearest one hundred thousand?
-2400000
Let s = -7429 - -7429.4143. Let c = s + -0.41428191. Round c to six dps.
0.000018
Let l = 1527.8 + -1698.51. Let n = -178.8 - l. What is n rounded to 1 dp?
-8.1
Let u = -393.73 + -413.75. Let i = u - -816. What is i rounded to one dp?
8.5
Let p = -0.170872912 + -213.829072888. Let w = p + 214. What is w rounded to five decimal places?
0.00005
Let v(j) = 1978*j**3 + 7*j**2 - 3*j - 29. Let o be v(-3). Round o to the nearest 100.
-53400
Let p = 17.87 + 4177.63. Round p to the nearest 1000.
4000
Let f = -129.439992789 + 129.44. Round f to 6 dps.
0.000007
Suppose -28854 + 92911 = -7*g. Let l = g + 3511. What is l rounded to the nearest one thousand?
-6000
Let f = 491.4 - 490.2906. Round f to one dp.
1.1
Let v = -2795 - -3129.2. Let x = v + -287. What is x rounded to the nearest integer?
47
Suppose 4*b + b = 9*b. Suppose b = -w + 84884 + 23916. Round w to the nearest ten thousand.
110000
Let w = -122 - -126. Suppose 0 = w*h + h - 0*h. Suppose -4*u - 9855709 - 9104291 = h. Round u to the nearest one hundred thousand.
-4700000
Suppose -k = 18 - 20. Let v be (1 + -3 - -34516) + -1 + k. Suppose 3*h + v + 2085 = 0. What is h rounded to the nearest 1000?
-12000
Let m = -37 - -40. Let w(b) = b**2 + 2*b - 19. Let o be w(3). Let p be (m/(-1) - (o - 16)) + 3. Round p to the nearest one thousand.
0
Let o = -346 - -244. Let c = -53 - o. Let q = c + -49.000096. What is q rounded to 5 dps?
-0.0001
Suppose 3*g = 7*g. Let b(q) = 2*q - 111. Let u be b(g). Let t be u + (2 + -2 - -2). Round t to the nearest ten.
-110
Let m = 146 + -98. Let i = m - 48.0435. Round i to three decimal places.
-0.044
Suppose -15*g + 8*g = -496391. Let i be -3 + -5 + (g - 5). Round i to the nearest 10000.
70000
Let m be (-878614)/3 + 105/(-63). Let v = m - 30127. Round v to the nearest 10000.
-320000
Suppose 40988 = v - 0*n - 3*n, -n + 163900 = 4*v. Let r be 84*(-6284)/3*(-26)/52. Let f = v - r. Round f to the nearest ten thousand.
-50000
Let j = 2 - -10. Let l = -11.85 + j. Let c = l - 0.15000055. Round c to seven decimal places.
-0.0000006
Let u = -30298971787963.000113 + 30299070803813. Let v = u + -99015757. Let m = -93 + v. What is m rounded to 5 decimal places?
-0.00011
Let k = -20015.49 + 20096. Let h = 75 - k. Round h to 1 decimal place.
-5.5
Suppose 7459775 = 3*m + u - 8335229, 2*u - 10530008 = -2*m. What is m rounded to the nearest one million?
5000000
Let p = -5.6 - -5.7. Let f = p - -37.9. Let a = -37.9874 + f. What is a rounded to three dps?
0.013
Let w(g) = 45664*g - 16. Let s be (4/2 - 4) + (-10)/(-2). Let q be s/(27/(-6))*9. Let n be w(q). What is n rounded to the nearest ten thousand?
-270000
Let p = -1.332 - -1394.332. Let f = -9662.903 + 8270.64. Let l = f + p. What is l rounded to one dp?
0.7
Let s = -446936 + 211786. Round s to the nearest 1000.
-235000
Let o = 2536.99978016 - 2537. What is o rounded to 5 decimal places?
-0.00022
Let o = 0.053721 + 2.538179. Round o to one decimal place.
2.6
Let a = -8770.1537086 - -0.0437086. Let l = 8815 + a. What is l rounded to the nearest integer?
45
Let t = -248885.1517 + 248901. Round t to 0 dps.
16
Let l = -663245805 - -663245874.0000046. Let r = 68.43 - -0.57. Let c = r - l. Round c to 6 dps.
-0.000005
Let h = 1224725658 - 1224725657.320999483. Let d = -0.679 + h. What is d rounded to seven dps?
0.0000005
Suppose 0 = -2*s - 2*f - 810718, s - 317*f + 316*f + 405361 = 0. | {
"pile_set_name": "DM Mathematics"
} |
n two letters picked without replacement from uuuuuugguuug.
1/22
Two letters picked without replacement from {v: 5, g: 9}. Give prob of picking 2 v.
10/91
Four letters picked without replacement from txtstsxxxxstx. What is prob of picking 2 x, 1 t, and 1 s?
36/143
Three letters picked without replacement from {p: 3, l: 4, j: 4, o: 4}. What is prob of picking 1 o, 1 l, and 1 p?
48/455
What is prob of picking 1 c, 1 o, and 2 z when four letters picked without replacement from {f: 1, c: 1, z: 7, o: 5}?
15/143
Two letters picked without replacement from {f: 9, h: 11}. Give prob of picking 2 h.
11/38
What is prob of picking 2 o when two letters picked without replacement from ooio?
1/2
Two letters picked without replacement from {p: 7, e: 1, v: 4, u: 2}. Give prob of picking 2 u.
1/91
Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, u: 7, g: 9}.
1/57
What is prob of picking 1 w and 1 b when two letters picked without replacement from vwbbbvwvwvbbv?
5/26
Three letters picked without replacement from sssrjjjs. Give prob of picking 2 j and 1 s.
3/14
What is prob of picking 1 n and 1 u when two letters picked without replacement from ukxusnp?
2/21
Three letters picked without replacement from ppppppp. What is prob of picking 3 p?
1
Calculate prob of picking 1 z and 1 g when two letters picked without replacement from ggggfzgffgzggfgf.
3/20
Three letters picked without replacement from {q: 2, z: 4, b: 2, h: 2, s: 3}. Give prob of picking 2 q and 1 b.
1/143
Calculate prob of picking 1 j and 1 h when two letters picked without replacement from jjjjjjjjjhjj.
1/6
Calculate prob of picking 1 c and 3 e when four letters picked without replacement from ptemeccpetec.
4/165
Four letters picked without replacement from {y: 4, l: 2, j: 2}. What is prob of picking 2 j and 2 l?
1/70
Three letters picked without replacement from rrrrryrrryynrryyr. Give prob of picking 1 y, 1 r, and 1 n.
11/136
Three letters picked without replacement from gddttdgtrrgdd. Give prob of picking 1 r, 1 d, and 1 t.
15/143
Three letters picked without replacement from {m: 2, w: 2, k: 2, l: 3}. What is prob of picking 3 m?
0
Calculate prob of picking 1 p, 1 i, 1 j, and 1 q when four letters picked without replacement from {b: 4, q: 5, p: 5, i: 1, j: 1}.
5/364
Calculate prob of picking 1 t and 1 v when two letters picked without replacement from vvxtx.
1/5
Two letters picked without replacement from {h: 6, c: 2, z: 4}. What is prob of picking 1 z and 1 c?
4/33
Two letters picked without replacement from ymmymmmmmm. Give prob of picking 2 m.
28/45
Calculate prob of picking 2 k when two letters picked without replacement from ukkkkkkkhkkkuk.
55/91
Two letters picked without replacement from icz. What is prob of picking 1 z and 1 c?
1/3
Calculate prob of picking 1 x and 3 e when four letters picked without replacement from zexzezzxzeezzezzzzzz.
4/969
What is prob of picking 1 s and 1 d when two letters picked without replacement from {d: 8, s: 5}?
20/39
Four letters picked without replacement from uqsqzlzvlslvszs. Give prob of picking 1 z, 2 q, and 1 l.
3/455
What is prob of picking 1 k and 1 d when two letters picked without replacement from {t: 1, d: 1, b: 2, m: 2, s: 1, k: 1}?
1/28
Calculate prob of picking 1 y, 1 o, and 1 b when three letters picked without replacement from ubyubyombbmybubbum.
7/272
Two letters picked without replacement from susuvhhhvuuzzhhhz. Give prob of picking 1 v and 1 z.
3/68
Two letters picked without replacement from {d: 1, s: 1, a: 4, r: 4, v: 3}. What is prob of picking 2 v?
1/26
What is prob of picking 1 m and 1 p when two letters picked without replacement from pppppmppmppp?
10/33
Two letters picked without replacement from {t: 2, h: 2, i: 1, m: 1, k: 1, b: 1}. Give prob of picking 1 i and 1 h.
1/14
Calculate prob of picking 2 k when two letters picked without replacement from {l: 4, s: 1, n: 1, k: 2}.
1/28
Four letters picked without replacement from {m: 1, i: 3, s: 2, c: 2, e: 4, z: 2}. Give prob of picking 2 c, 1 e, and 1 z.
8/1001
What is prob of picking 2 m when two letters picked without replacement from {d: 6, m: 4}?
2/15
Calculate prob of picking 1 i, 1 g, and 1 m when three letters picked without replacement from ijmigmxiig.
2/15
Three letters picked without replacement from yyiiiiiiyyi. What is prob of picking 2 i and 1 y?
28/55
Calculate prob of picking 2 m and 2 a when four letters picked without replacement from {m: 8, a: 5}.
56/143
Two letters picked without replacement from {j: 5, e: 1, r: 2, q: 1}. What is prob of picking 1 q and 1 r?
1/18
Calculate prob of picking 1 n, 1 s, and 1 x when three letters picked without replacement from snxsnssnsn.
1/6
Three letters picked without replacement from twwtwtzttwpjtwtj. What is prob of picking 1 j, 1 p, and 1 t?
1/40
Calculate prob of picking 1 y, 1 x, and 2 d when four letters picked without replacement from {y: 4, x: 2, d: 2}.
4/35
Calculate prob of picking 2 z and 2 g when four letters picked without replacement from {z: 12, g: 6}.
11/34
Three letters picked without replacement from {h: 3, c: 1, l: 4}. Give prob of picking 1 l and 2 h.
3/14
Three letters picked without replacement from hhhhphhhhhhhh. What is prob of picking 1 p and 2 h?
3/13
Four letters picked without replacement from {d: 5, r: 3}. What is prob of picking 3 d and 1 r?
3/7
Two letters picked without replacement from uyuyyuyys. Give prob of picking 2 u.
1/12
Three letters picked without replacement from {y: 2, e: 2, o: 1, n: 1, p: 4}. What is prob of picking 2 e and 1 o?
1/120
Two letters picked without replacement from {n: 5, f: 2, k: 4}. What is prob of picking 2 n?
2/11
Four letters picked without replacement from mimmii. Give prob of picking 2 i and 2 m.
3/5
Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {e: 2, l: 4, k: 4, b: 6, m: 2, t: 1}.
8/171
Two letters picked without replacement from {i: 7, a: 4}. Give prob of picking 2 i.
21/55
Four letters picked without replacement from {x: 2, a: 2, j: 3, m: 2}. What is prob of picking 1 x, 1 j, and 2 a?
1/21
What is prob of picking 1 k and 1 p when two letters picked without replacement from wphztwwkwzpwkpkzpk?
16/153
What is prob of picking 2 g when two letters picked without replacement from gstgtgsmm?
1/12
Two letters picked without replacement from {g: 2, j: 1, z: 1, i: 5, r: 8}. Give prob of picking 1 g and 1 i.
5/68
Three letters picked without replacement from zzszzzs. Give prob of picking 1 z and 2 s.
1/7
Three letters picked without replacement from {i: 5, n: 1, u: 5, z: 1}. What is prob of picking 2 i and 1 u?
5/22
Calculate prob of picking 1 y, 1 z, and 1 p when three letters picked without replacement from {b: 4, y: 2, p: 1, z: 2, j: 5}.
1/91
Calculate prob of picking 4 i when four letters picked without replacement from {f: 4, i: 7, y: 2, e: 1}.
5/143
Calculate prob of picking 2 j and 1 q when three letters picked without replacement from {j: 4, q: 2, d: 3}.
1/7
Two letters picked without replacement from mzmmgtogmzmwz. Give prob of picking 1 z and 1 g.
1/13
Three letters picked without replacement from ozwbbbbx. Give prob of picking 1 w, 1 z, and 1 x.
1/56
Two letters picked without replacement from tnntnttt. Give prob of picking 2 n.
3/28
Four letters picked without replacement from bookllalbalblov. Give prob of picking 1 b, 1 l, and 2 o.
3/91
Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyyyy.
1
Calculate prob of picking 1 a, 1 k, and 1 j when three letters picked without replacement from jxjjtajaataakaj.
6/91
Two letters picked without replacement from rrjrjj. What is prob of picking 1 j and 1 r?
3/5
Two letters picked without replacement from {o: 1, f: 1, n: 1, g: 4, m: 2}. Give prob of picking 2 g.
1/6
What is prob of picking 1 x and 3 u when four letters picked without replacement from uuuxuuuuxuuu?
16/33
Calculate prob of picking 2 f when two letters picked without replacement from fbbbsbbmbmmbmfbmbbms.
1/190
Calculate prob of picking 1 g, 1 e, and 2 f when four letters picked without replacement from axxeeffaaegxxxf.
3/455
Three letters picked without replacement from {z: 11, i: 3}. What is prob of picking 3 z?
165/364
What is prob of picking 1 l, 1 | {
"pile_set_name": "DM Mathematics"
} |
+ g*q(a).
-3*a**3 + 1
Let c(r) = 8*r**2 + 7*r - 7. Suppose -7*f + 78 - 29 = 0. Let l(o) = 4*o**2 + 3*o - 3. Let z be (-8)/28 - (-38)/(-14). Give f*l(p) + z*c(p).
4*p**2
Let a(d) = -14*d - 16. Let o(p) = 5*p + 5. Give 5*a(u) + 16*o(u).
10*u
Suppose 0 = -4*b - 0 + 12. Suppose -3 = b*n - 0*n. Let p(s) = -s + 1. Let y be -2 - (7 + -7) - (2 - (-1 - 1)). Let k(x) = 9*x - 5. What is n*k(t) + y*p(t)?
-3*t - 1
Let w(x) = -x - 1. Let q be (-1)/(-6) - 225/54 - -3. Let c(g) = 6*g**2 - 4*g - 4. What is q*c(j) + 4*w(j)?
-6*j**2
Let n(z) = -z + 1. Suppose 3*s + 85 = -4*r - r, 2*s - r = -35. Let t be (-6)/(24/s) + 0 + 1. Let h(l) = l**3 + 6*l - 9. Determine t*n(x) + h(x).
x**3 - 3
Let j(f) = -2*f**2 + 4. Suppose -7*o = -27 - 1. Let u(z) = 5*z**2 - 11. Determine o*u(w) + 11*j(w).
-2*w**2
Let o(q) = 61 + 2*q**3 - 3*q**2 + 5*q - 54 + 4*q**2. Let x(n) = 2*n**3 + n**2 + 4*n + 6. Give -4*o(l) + 5*x(l).
2*l**3 + l**2 + 2
Let m(n) = -6*n. Suppose 5*x - 12 = 3*x. Let h(s) = 2*s - x*s + s. Suppose -4*r - 30 = -3*f, -5*r - 61 = -2*f - 34. Determine f*m(b) - 11*h(b).
-3*b
Let j(m) = 7 + 7*m**2 + 0*m**3 + m**3 - 2*m**3 + 9*m - 3*m**3. Let w(f) = 2*f**3 - 3*f**2 - 4*f - 3. Calculate -4*j(i) - 9*w(i).
-2*i**3 - i**2 - 1
Let c(k) = k - 1. Let l be 0/3 + 1 + 1. Let a(h) = -2 - 6 + 4 + 3*h + 2. Let g be 2/(-4) + 3/(-6). What is g*a(w) + l*c(w)?
-w
Let p(n) = n**2 - n - 1. Let c(v) = -23*v**2 + 87*v + 15. Let g(z) = 11*z**2 - 39*z - 7. Let w(m) = -4*c(m) - 9*g(m). Determine 3*p(q) + w(q).
-4*q**2
Let t be (-57)/(-51) - 2 - 4/34. Let c(l) = 1 + 2*l**3 + 2*l**2 - l**2 - l**3. Let r(s) = 4*s**3 + 4 + 3*s**2 + 0*s**2 + s**3. Determine t*r(n) + 3*c(n).
-2*n**3 - 1
Let k(w) = 21*w**2 - 4. Suppose -182 = 25*y - 32. Let u(b) = -11*b**2 + 2. Calculate y*k(i) - 11*u(i).
-5*i**2 + 2
Let c(i) = i**3 - i**2 + 0*i**3 + 0*i**2 - i. Let v be (104/(-325)*(-25)/20)/(8/20). Let h(u) = -3*u**3 + u**2 - 2. Give v*h(y) + c(y).
-2*y**3 - y - 2
Let x(i) = 8*i**3 + 2*i**2 + i + 2. Let v(y) = 9*y**3 + 2*y**2 + 2*y + 1. Give 2*v(z) - 3*x(z).
-6*z**3 - 2*z**2 + z - 4
Let s(r) = 4*r + 1. Suppose 98 = -52*w + 3*w. Let v(p) = p**2 + 1. Calculate w*v(j) + s(j).
-2*j**2 + 4*j - 1
Suppose 0 = 5*t + w + 32, -t - w - 10 = -2. Let m(k) = 489*k**3 - 494*k**3 - 2 + 8*k + 0. Let i(c) = 14*c**3 - 23*c + 6. What is t*i(h) - 17*m(h)?
h**3 + 2*h - 2
Let p(l) = l + 1 + 2 - 1. Let o(t) = t + 3. Let m(w) = -23*w + 120. Let i be m(5). What is i*p(d) - 3*o(d)?
2*d + 1
Let t(x) = -16*x**3 - 30*x**2 + 24*x - 15. Let h(r) = 8*r**3 + 14*r**2 - 11*r + 7. What is 13*h(q) + 6*t(q)?
8*q**3 + 2*q**2 + q + 1
Let c(f) = -7 + f + 0 + 4. Let l(v) = 2. Let b(n) = 2*c(n) + 3*l(n). Let d(y) = -y**2 + y - 1. Let u be d(1). Let m(s) = -s. Determine u*b(w) - 4*m(w).
2*w
Suppose -5*m - 31 = 24. Let o(v) = -193 + 197 - 11*v + 11*v**2 + 3*v**3 - 16*v**3. Let q(d) = -7*d**3 + 6*d**2 - 6*d + 2. What is m*q(f) + 6*o(f)?
-f**3 + 2
Let q(d) = 13*d - 28. Let y(m) = 4*m - 9. What is 3*q(v) - 8*y(v)?
7*v - 12
Let t(l) = -3*l**3 + 44*l**2 + 5*l + 4. Let g(j) = 5*j**3 - 68*j**2 - 8*j - 6. Calculate -5*g(d) - 8*t(d).
-d**3 - 12*d**2 - 2
Let y(l) be the second derivative of 91*l**3/2 - 192*l. Let v(u) = -26*u. Give -52*v(d) - 5*y(d).
-13*d
Let p(g) = 16*g**2 - 4. Let b be (-1952)/244*(-1)/2. Let q(r) = -31*r**2 + 9. Give b*q(u) + 9*p(u).
20*u**2
Let l(v) = -14*v**2 + 1. Let d be l(1). Let x(m) = 4*m + 13. Let g(y) = 40*y - 3. Let a(j) = 214*j - 14. Let c(s) = 3*a(s) - 16*g(s). Determine d*c(q) + 6*x(q).
-2*q
Let n be 24/30*15*(-3)/(-9). Let k(o) = o - 4. Suppose -l = -2*l + 2. Let p be l/7 - (-37)/(-7). Let g(q) = q - 3. Determine n*k(j) + p*g(j).
-j - 1
Let j(m) = -m**2 + 3*m - 3. Suppose -3*g + 2 = -0*g - s, 0 = s - 1. Let q(d) = -d + 1. Determine g*j(f) + 4*q(f).
-f**2 - f + 1
Let l(a) = -a**3 - 6*a**2 + 1. Let t(y) = y**3 - 1 + 13*y**2 - 25*y**2 + 0*y**3 + 17*y**2. Calculate -5*l(z) - 6*t(z).
-z**3 + 1
Let p(y) be the second derivative of -y**3/2 - 7*y**2/2 - 2*y + 23. Let d(z) = 1. Let j(n) = -5*n**3 + n**2 - 1. Let m be j(-1). What is m*d(r) + p(r)?
-3*r - 2
Let w(o) = 0 + 508*o**2 + 514*o**2 - 1024*o**2 + 2*o - 7. Let n(m) = -5*m**2 + 5*m - 15. What is 4*n(g) - 9*w(g)?
-2*g**2 + 2*g + 3
Let s(y) be the first derivative of -2*y**2 + y - 1. Let w = 1742 - 1744. Let f(a) = a**2 - a - 1. What is w*f(g) + s(g)?
-2*g**2 - 2*g + 3
Let n(p) = 3*p. Let o(k) = 32*k - 2. Determine -22*n(g) + 2*o(g).
-2*g - 4
Let j(o) = -5 - 3*o + 32 + 4*o - 6*o. Let r(a) = a - 7. Give -2*j(u) - 9*r(u).
u + 9
Let t(f) = -2*f**2 + 4*f + 8. Let v(s) = s**2 + s + 2. Determine t(w) - 3*v(w).
-5*w**2 + w + 2
Let u(r) = 6*r**3 - 11*r**2 + 11*r + 11. Suppose -h + s = -s - 7, 35 = 3*h + s. Let q(n) = n**3 - 2*n**2 + 2*n + 2. Calculate h*q(l) - 2*u(l).
-l**3
Let c(q) = -3*q**3 + 6*q**2 + 2*q - 12. Let o(h) = 4*h**3 - 7*h**2 - 2*h + 13. Determine -6*c(j) - 5*o(j).
-2*j**3 - j**2 - 2*j + 7
Let n(m) = -2*m**3 + 58*m**2 + 7*m - 4. Let j(c) = c**2 + c - 1. Give 6*j(d) - n(d).
2*d**3 - 52*d**2 - d - 2
Let l = -139 - -137. Let c(d) = -6*d + 4. Let k(j) = -j + 1. Give l*c(m) + 10*k(m).
2*m + 2
Let o(l) = -2*l - 4. Suppose 0 = -j + 3*a + 5, -5*j + j + 2*a - 20 = 0. Let g(k) = -k - 5. Give j*o(w) + 6*g(w).
8*w - 2
Let y(g) = 7*g**2 - 5*g + 5. Let o(u) = 4*u**2 - 3*u + 3. Suppose l - 3*v = 6, 4*l + 1 = 2*v - 5. Give l*y(c) + 5*o(c).
-c**2
Suppose -4*s - 148 = -124. Let b(x) = -x**2 - x + 31. Let q be b(s). Let p(o) = o + 2 + 3 - 6. Let g(l) = -12*l + 9. Determine q*g(r) + 9*p(r).
-3*r
Let j(o) = -11*o**2 - 4*o + 10. Let v(f) = 16*f**2 + 7*f - 15. What is 8*j(y) + 5*v(y)?
-8*y**2 + 3*y + 5
Let k(g) = 133*g + 16. Let y(m) = 134*m + 21. Determine 4*k(q) - 3*y(q).
130*q + 1
Let z(a) = 9*a**2 + 4*a + 9. Let v be ((-5)/(-2))/((-3)/6). Let q(w) be the first derivative of 14*w**3/3 + 3*w**2 + 14*w - 54. Calculate v*q(k) + 8*z(k).
2*k**2 + 2*k + 2
Let c(u) = 4*u - 4*u + 0 + 3 + u. Let s(b) = 2. Suppose -3*j = -2*a + 4 + 7, 5*j - a + 16 = 0. What is j*s(m) + 2*c(m)?
2*m
Let j(t) = 4*t**2 + 3*t + 16. Let w(x) = -20*x**2 - 20*x - 83. Let d(a) = -7*a**2 - 7*a - 29. Let z(h) = 17*d(h) - 6*w(h). Give 2*j(g) - 7*z(g).
g**2 - g - 3
Let u(t) = -1. Let p(b) = -3. Let g(z) = 4*p(z) - 11*u(z). Let a(h) = -4*h + 12. Let q be 11/7 - (-44)/(-77). What is q*a(j) + 12*g(j)?
-4*j
Let u(j) = 4*j + 9. Let d(z) = -2 + 9*z + 11*z - 21*z. Let i = -32 + 22. Let k = 4 + i. Calculate k*u(q) - 26*d(q).
2*q - 2
Let y(v) = 49*v**2 - 11. Let q(n) = -26*n**2 + 6. Calculate -11*q(r) - 6*y(r).
-8*r**2
Let s(n) = 37*n**3 - 6*n**2 + n + 3. Let i(u) = -19*u**3 + 3*u**2 - 1. Determine 5*i(w) + 2*s(w).
-21*w**3 + 3*w**2 + 2*w + 1
Let b(q) = -q**2 - q + 1. Let h(o) = -o**3 + 6*o**2 + 4*o - 2. Let k = 0 + 4. Let t = 29 + -34. Let a be t/(-3) + 5/(15/(-2)). Calculate a*h(w) + k*b(w).
-w**3 + 2*w**2 + 2
Let z(y) = -1798*y**3 - 5*y**2 + 30*y - 5. Let h(s) = -62930*s**3 - 174*s**2 + 1044*s - 174. Calculate -5*h(v) + 174*z(v).
1798*v**3
Let j(h) = -h**3. Let q(z) = 9*z**3. Let x(y) be the third derivative of -y**6/30 + y**5/60 - 21*y**2. Let k be x(-1). Calculate k*j(g) + q(g).
4*g**3
Let f(l) = 2*l - 3. Let d be (-4)/(-18) + (-86)/(-18). Let b(m) = -1 - 3*m + 0*m + 6 - 1. Give d*f(z) + 4*b(z).
-2*z + 1
Let y(k) = 66*k**3 - 27*k**2 + 27. Let r(s) = 0*s**3 - 2*s**2 + 3*s**3 + 2*s**3 + 2. Let p = 73 + -46. Let m = -12426 - -12424. What is m*y(z) + p*r(z)?
3*z**3
Let z(y) = 3*y - 9. Let d(v) be the first derivative of 3*v**2/2 - 8*v - 91. Calculate -7*d(m) + 6*z(m).
-3*m + 2
Let g(i) be the second derivative of 0 + 1/6*i**3 + 19*i + 1/4*i**4 - i**2. Let w(r) = -10*r**2 - 4*r + 6. Give 7*g(h) + 2*w(h).
h**2 - h - 2
Let m(z) = -3*z**3 + 2*z**2 - 5. Let c(p) be the first derivative of 3*p**4/4 - 2*p**3/3 + 6*p + 51. Determine -5*c(v) - 6*m(v).
3*v**3 - 2*v**2
Let d(f) = -f**2 - 4*f. Let n(h) = -h**2 - h. Let g(i) = -d(i) + 4*n(i). Let b = -1332 + 1334. Let x(w) = w**3 + w**2 - w. What is b*x(r) + g(r)?
2*r**3 - r**2 - 2*r
Let l(a) = 11*a**2 - 14*a + 3. Let d = -59 + 66. Let k(r) = -7 + 5 - 3*r - 6*r + d*r**2 + 4. What is 8*k(b) - 5*l(b)?
b**2 - 2*b + 1
Let c(x) = 7*x**2 - 2*x - 3. Let s(n) = -37*n + 41*n - 3*n - 6*n**2 + 2. Calculate -3*c(o) - 4*s(o).
3*o**2 + 2*o + 1
Let c(o) = -o**3 + 6*o**2 + 2*o + 6. Let h = 98 + -59. Suppose 5*f - 2*f = -h. Let a(r) | {
"pile_set_name": "DM Mathematics"
} |
*-1*-3.
-6*sqrt(2)
Simplify (-6*sqrt(55)/sqrt(5) - sqrt(11))**2 + 1.
540
Simplify (4*sqrt(10)/sqrt(5))**2 + 3.
35
Simplify -3 + sqrt(7) + 5*sqrt(7) + -3.
-6 + 6*sqrt(7)
Simplify sqrt(5) + (sqrt(5) - (sqrt(45)/(sqrt(63)/sqrt(7)))**2) + (sqrt(605))**2*3.
2*sqrt(5) + 1810
Simplify (-2 + 4*(-5 + sqrt(13)*-1))**2.
176*sqrt(13) + 692
Simplify (5*(sqrt(15) - ((sqrt(15) - sqrt(45)/sqrt(3)) + sqrt(15) + sqrt(15))))/(sqrt(243) + sqrt(27)).
-5*sqrt(5)/12
Simplify (2*sqrt(88)/sqrt(4))/(sqrt(275)*6).
sqrt(2)/15
Simplify (((sqrt(110) + (sqrt(110) - (sqrt(110) + sqrt(110)*-1)) + sqrt(110))*-1 + sqrt(110) + sqrt(110))/sqrt(10))**2.
11
Simplify (sqrt(8) + 4)**2 + (sqrt(30)/sqrt(3))/sqrt(5).
24 + 17*sqrt(2)
Simplify -4*sqrt(8)/sqrt(64).
-sqrt(2)
Simplify (1*sqrt(3388))/(sqrt(4) - 6*sqrt(8)/sqrt(2)).
-11*sqrt(7)/5
Simplify (6*(sqrt(720) + -3))**2.
-2592*sqrt(5) + 26244
Simplify (1*(5 + (-3 + sqrt(3))*-6))**2.
-276*sqrt(3) + 637
Simplify (sqrt(110)/sqrt(2)*-2)/(2*sqrt(44)).
-sqrt(5)/2
Simplify (sqrt(33) - 5*sqrt(528))/sqrt(11).
-19*sqrt(3)
Simplify (4*sqrt(110)*-2)/(sqrt(10)*-2*6).
2*sqrt(11)/3
Simplify (sqrt(104) - 1*2*sqrt(104))/(-1*sqrt(32)).
sqrt(13)/2
Simplify (1*sqrt(567) + -3)**2.
-54*sqrt(7) + 576
Simplify (sqrt(2057) + sqrt(2057)*-1 + (sqrt(17) - -4*sqrt(425)))**2.
7497
Simplify (((sqrt(105) - (sqrt(105)*2 + sqrt(105))) + sqrt(105))/sqrt(3))/sqrt(7).
-sqrt(5)
Simplify (-2*((sqrt(13) - (1 + sqrt(13))) + 2))**2.
4
Simplify 4 + (sqrt(144) - sqrt(36))/sqrt(12).
sqrt(3) + 4
Simplify (5*sqrt(252)/sqrt(6))/(sqrt(96)*-3).
-5*sqrt(7)/12
Simplify sqrt(175) + 2 + sqrt(70)/sqrt(40).
2 + 11*sqrt(7)/2
Simplify sqrt(228)/(-2*sqrt(12)*-3).
sqrt(19)/6
Simplify (sqrt(77) + 6*5*sqrt(77) + sqrt(77))/sqrt(11).
32*sqrt(7)
Simplify (-5*1*sqrt(833))**2 + (3*-2*sqrt(833))**2 + 1.
50814
Simplify (sqrt(209)/(sqrt(121)/sqrt(11)) + sqrt(684) + -5)**2.
-70*sqrt(19) + 956
Simplify -6*(-2 + sqrt(242) + -1 + 2 + sqrt(242)).
-132*sqrt(2) + 6
Simplify (-5*(sqrt(192)/sqrt(4) + (sqrt(363) + sqrt(363) + (sqrt(363) - (sqrt(363) + 0 - sqrt(363)) - sqrt(363)) - sqrt(363) - sqrt(363))))**2.
1200
Simplify sqrt(95)/(sqrt(30)/sqrt(6)*-5 - sqrt(5)).
-sqrt(19)/6
Simplify sqrt(52)*-4*-6.
48*sqrt(13)
Simplify (-4*sqrt(28)/(sqrt(36) - sqrt(4)))**2.
28
Simplify (sqrt(171) + sqrt(171)*-2 + 2)**2 + 2.
-12*sqrt(19) + 177
Simplify ((1 + sqrt(128) + sqrt(2) - ((sqrt(2)*2 - sqrt(2)) + 0))*-4)**2.
256*sqrt(2) + 2064
Simplify (sqrt(19) - (-2 + sqrt(19))*4) + -5*(sqrt(19) - -2*sqrt(19))**2.
-847 - 3*sqrt(19)
Simplify sqrt(14)/sqrt(63) - sqrt(2) - 4*sqrt(8)/sqrt(4).
-14*sqrt(2)/3
Simplify (5 + sqrt(242)*1)**2.
110*sqrt(2) + 267
Simplify ((sqrt(17) + sqrt(153)*3 - sqrt(17)*1*-5) + -5)**2.
-150*sqrt(17) + 3850
Simplify (sqrt(2736) + -6*-1*sqrt(2736) + sqrt(2736) + 0 + 1 + sqrt(2736))**2.
216*sqrt(19) + 221617
Simplify (sqrt(162) + sqrt(162)*-2 + sqrt(162) + 2 + sqrt(162))**2*6.
216*sqrt(2) + 996
Simplify ((sqrt(65) + 2*sqrt(65)*-4 + sqrt(65))/(sqrt(5) + (1*sqrt(405) - sqrt(405))))**2 + 2.
470
Simplify 1 + -2*(sqrt(52)*1)**2.
-103
Simplify sqrt(102)/(sqrt(1200)/sqrt(8)).
sqrt(17)/5
Simplify sqrt(637) + -5*-2*sqrt(637).
77*sqrt(13)
Simplify (3 + sqrt(17) + 4)**2 + (sqrt(459) + sqrt(51))/sqrt(3).
66 + 18*sqrt(17)
Simplify -1*sqrt(175) - (sqrt(7) + (sqrt(7) - -4*(sqrt(35)/sqrt(5) + sqrt(7)))).
-15*sqrt(7)
Simplify -5 + sqrt(1872) + -1.
-6 + 12*sqrt(13)
Simplify 1*(1*sqrt(612))**2*-4.
-2448
Simplify -3 + (sqrt(325) + 2)*-6.
-30*sqrt(13) - 15
Simplify 6*(-2 + sqrt(539)*-2 + ((sqrt(539) + 0)**2 - sqrt(539))).
-126*sqrt(11) + 3222
Simplify ((sqrt(432)*2 + 0)*5)**2.
43200
Simplify (5 + (-2 + sqrt(832) + sqrt(832))*1)**2.
96*sqrt(13) + 3337
Simplify sqrt(288) - (sqrt(288) + -5 + (1 + sqrt(288) + sqrt(288))**2) - (sqrt(288) + (1 + sqrt(288) - sqrt(288))*-3).
-1145 - 60*sqrt(2)
Simplify sqrt(18)/(sqrt(9) + 4*sqrt(9)*1).
sqrt(2)/5
Simplify (sqrt(88)/sqrt(32))**2 - (4 + 1*sqrt(11))**2.
-8*sqrt(11) - 97/4
Simplify (((sqrt(66) - -6*sqrt(66)) + sqrt(66))*-5)/sqrt(6).
-40*sqrt(11)
Simplify (sqrt(99) - -1*1*sqrt(99) - sqrt(99))/(-5*-2*sqrt(9)).
sqrt(11)/10
Simplify (3*-6*(-1 + sqrt(612)))**2.
-3888*sqrt(17) + 198612
Simplify sqrt(110)/(sqrt(110)/(sqrt(11)*5)).
5*sqrt(11)
Simplify ((sqrt(13) - sqrt(78)/sqrt(24)) + sqrt(13))**2 - (sqrt(26)/sqrt(2) + 3 + sqrt(13)).
-2*sqrt(13) + 105/4
Simplify 5 + -2 + sqrt(66)/(sqrt(486)*1 + sqrt(6) + sqrt(6) - sqrt(6)).
sqrt(11)/10 + 3
Simplify -2*(sqrt(147)*1 - sqrt(147))*2.
0
Simplify sqrt(22)/(1*sqrt(2)) + sqrt(132)/(sqrt(48)/sqrt(4)).
2*sqrt(11)
Simplify sqrt(3)*-3 + -2 + -2 + sqrt(3) + -1.
-5 - 2*sqrt(3)
Simplify (4 + (sqrt(5) - sqrt(5)*-1) + 2 + sqrt(80))**2.
72*sqrt(5) + 216
Simplify (-5 + (-4*sqrt(51)/sqrt(3) - (sqrt(17) - sqrt(68))*-1))**2.
50*sqrt(17) + 450
Simplify (3 + 1 + sqrt(19))*-3 + 5.
-3*sqrt(19) - 7
Simplify (sqrt(1575) - (sqrt(1575) + 5*(1 + sqrt(1575)))**2 - sqrt(1575))*3.
-170175 - 2700*sqrt(7)
Simplify sqrt(6)/(sqrt(8)/sqrt(4)) - (sqrt(3) - ((sqrt(3) + 1)*-4)**2).
32*sqrt(3) + 64
Simplify sqrt(7200) + 1.
1 + 60*sqrt(2)
Simplify (1*(-3 + 1 + sqrt(1872) + sqrt(1872) + 5))**2.
144*sqrt(13) + 7497
Simplify (sqrt(12) - sqrt(12)*1) + 1.
1
Simplify (sqrt(104) - -1*(sqrt(104) + sqrt(104)*2))/(1*sqrt(200)).
4*sqrt(13)/5
Simplify -3 + (2*sqrt(441))/sqrt(7).
-3 + 6*sqrt(7)
Simplify sqrt(12)/(sqrt(486) + sqrt(486)*-3 + sqrt(486)).
-sqrt(2)/9
Simplify (-2*sqrt(132)/sqrt(4))/(sqrt(300)*-2 + sqrt(300)).
sqrt(11)/5
Simplify (3 + sqrt(44) + 3 + sqrt(44) + (sqrt(11) + -3 + -3 - sqrt(11) - sqrt(11)))**2.
99
Simplify ((sqrt(570) + sqrt(570)*-1)/sqrt(10))/(sqrt(12)*-1).
0
Simplify sqrt(2) + 0 + -1 + -1*sqrt(2)*-2.
-1 + 3*sqrt(2)
Simplify (sqrt(36) + (sqrt(252) + -1*sqrt(252) + sqrt(252))/sqrt(7))/(-3*sqrt(12)*5).
-2*sqrt(3)/15
Simplify ((sqrt(84)/sqrt(4) + sqrt(21))*4)/(-1*sqrt(1008)).
-2*sqrt(3)/3
Simplify -5*(-6*(sqrt(11) - sqrt(33)/sqrt(3)) + sqrt(11)).
-5*sqrt(11)
Simplify 4*sqrt(10)/sqrt(2) - (-5 + sqrt(10)/sqrt(2)).
5 + 3*sqrt(5)
Simplify (sqrt(68) - 2*sqrt(68)*-5)/(sqrt(32)/sqrt(128) - sqrt(4)).
-44*sqrt(17)/3
Simplify -2*(-1*sqrt(72))/sqrt(4) + 4.
4 + 6*sqrt(2)
Simplify sqrt(80) + 0 - (sqrt(405) + 1)**2.
-406 - 14*sqrt(5)
Simplify sqrt(156)/sqrt(48) + sqrt(13) + sqrt(936)/sqrt(2).
15*sqrt(13)/2
Simplify (sqrt(640)*-1)/(sqrt(200)*-2).
2*sqrt(5)/5
Simplify (2*sqrt(1152))/(sqrt(216)*1 + sqrt(216) + sqrt(6))*4.
64*sqrt(3)/13
Simplify (-3*sqrt(14)*-1)/(sqrt(24)/sqrt(300)).
15*sqrt(7)
Simplify sqrt(171) + -3 + 1 + 3.
1 + 3*sqrt(19)
Simplify 4*(-3*sqrt(1300))**2.
46800
Simplify (sqrt(1300) - (2 + sqrt(1300)*-1))**2.
-80*sqrt(13) + 5204
Simplify -5 + sqrt(208) + 1.
-4 + 4*sqrt(13)
Simplify sqrt(56)/((sqrt(8) + sqrt(16)/sqrt(2))*3).
sqrt(7)/6
Simplify (sqrt(162) + 0 - (0 + sqrt(242)))**2.
8
Simplify (5 + 6*(2 + sqrt(1216) - sqrt(1216)))**2.
289
Simplify sqrt(45)/(1*sqrt(144)).
sqrt(5)/4
Simplify sqrt(55)/(sqrt(110)/(sqrt(10) - sqrt(10)*1 - sqrt(10))).
-sqrt(5)
Simplify (sqrt(18)*-2 - sqrt(14)/sqrt(63))**2.
722/9
Simplify (sqrt(7) - (1 + sqrt(63))) + sqrt(7) + (sqrt(700)*-1)**2.
-sqrt(7) + 699
Simplify -3*((sqrt(224) + (sqrt(224) - -1*sqrt(224)) + sqrt(224))/sqrt(4))/(4*sqrt(8)*-2).
3*sqrt(7)/2
Simplify ((sqrt(171) - 2*sqrt(171))*-3)/sqrt(9).
3*sqrt(19)
Simplify ((sqrt(1980) - (-2*sqrt(1980) + sqrt(1980)))/(((sqrt(110)/sqrt(2) - sqrt(55)) + sqrt(55))/sqrt(11)))**2.
1584
Simplify ((sqrt(95) + sqrt(95) + -1*sqrt(95))*4)/(-1*sqrt(20)).
-2*sqrt(19)
Simplify (sqrt(60)/sqrt(6))/sqrt(5) + -5.
-5 + sqrt(2)
Simplify -4*((sqrt(13)*-2)**2*-6 + 4).
1232
Simplify (sqrt(72)/(sqrt(30)/sqrt(5)))/(sqrt(294)*1 + sqrt(294)).
sqrt(2)/14
Simplify (3 + (1*sqrt(180))**2 - sqrt(180) - sqrt(180))*-4.
-732 + 48*sqrt(5)
Simplify 3 + (sqrt(6)/sqrt(27))**2 + 1.
38/9
Simplify 1 + (sqrt(70)/(sqrt(20)/sqrt(2)))**2.
8
Simplify sqrt(396) - (sqrt(396) + 0 + sqrt(396)) - (sqrt(55)*2)/sqrt(5).
-8*sqrt(11)
Simplify (sqrt(38) - sqrt(4598)*2)/((sqrt(14) + sqrt(14)*2)/sqrt(7)).
-7*sqrt(19)
Simplify (-3 + sqrt(80))*3.
-9 + 12*sqrt(5)
Simplify (sqrt(11)*1*-3 - (sqrt(275) - (0 + sqrt(275))))**2.
99
Simplify (sqrt(405)*1 + sqrt(405) - (-5 + (sqrt(5) - (sqrt(5) + 1))))**2.
216*sqrt(5) + 1656
Simplify ((4*sqrt(308))/sqrt(11))/(sqrt(36)*-4).
-sqrt(7)/3
Simplify (0 + -1*(sqrt(567)*3 + sqrt(567) + sqrt(567)) + sqrt(567))**2.
9072
Simplify ((2 + s | {
"pile_set_name": "DM Mathematics"
} |
= -4*d - 1. Is g <= 20?
True
Let h(v) = 3*v. Let y(n) = n. Let g(l) = 2*h(l) - 7*y(l). Let o be g(-1). Is 2/9 not equal to o?
True
Let q = -13 - -7. Is q smaller than -5?
True
Suppose 2*w + h = 2*h - 17, -5*h = 4*w + 55. Let c = -10 - w. Suppose 3*u = -5*j + 23, -4*u + 4*j - 19 = -7*u. Which is bigger: u or c?
u
Let r = -5.1 + 0.1. Let j = -5.2 - r. Is j >= 2/3?
False
Suppose 5*z + 21 = 1. Suppose -3*i - 40 = 2*i. Let w = i + 5. Is w bigger than z?
True
Let b(s) = -s**3 - 2*s**2 - s - 1. Let p be b(-2). Suppose 2*c - p = -2*m - 7, -3*c - 13 = 5*m. Let w = -10 + 9. Which is smaller: m or w?
m
Let c(l) = l**2 - 7*l - 2. Let u be (-4)/14 + (-153)/(-21). Let n be c(u). Suppose 3*i + 8 = -i. Does n = i?
True
Let d = 1153/5 + -232. Which is smaller: 0 or d?
d
Suppose -q = -u + 1, 5*u + 18 = -2*q - 12. Which is greater: -4 or q?
-4
Suppose -k + 4*k = 9. Let z = 389/3 - 127. Is k < z?
False
Suppose -6 = -5*q - 16, 4*s = -4*q - 80. Let f be s/(-44)*2 + -1. Is f >= 0?
False
Let w be 0 + 5/(-3) + -2. Let n = -35/9 - w. Is n bigger than 1?
False
Let r be ((-12)/(-20))/(2/(-30)). Is -25/3 != r?
True
Suppose -2*s + 98 = 3*o, 2*o - 132 = -2*o - 3*s. Suppose 5*t + 4 - o = -f, -9 = f - 2*t. Let k = -1 - 0. Which is smaller: k or f?
k
Let n be 0 - ((-1)/(-1) - -1). Let o = n + 4. Suppose o = -0*q - 2*q. Is q smaller than 1/5?
True
Suppose -3*s - 4 = -2*s. Let k be 96/90 + s/6. Let j be (-4)/14 - 4/(-14). Which is smaller: j or k?
j
Let t(c) = c - 3. Let o be t(2). Is o smaller than 1/20?
True
Suppose o + 2 = -0*o. Let g be ((-1)/o)/(1/4). Which is smaller: 2/3 or g?
2/3
Let c = 5 - 11. Let h be ((-2)/6)/(2/c). Is -0.07 smaller than h?
True
Let o = 29/3 + -10. Which is smaller: 8 or o?
o
Let q be 5/45*12*(-3)/2. Let h = -52 - -360/7. Is h < q?
False
Let t = 23/30 - 1/10. Which is smaller: 2 or t?
t
Let v be (-3)/5 - 6/15. Let x be (-90 + (2 - 1))*-2. Let m = x + -3380/19. Does v = m?
False
Suppose 1 = j - 0. Let w(v) = 7*v. Let u be w(j). Suppose -u*g + 3*g = 0. Which is bigger: -3/4 or g?
g
Let b = 21.8 - 3.8. Let z = -18.5 + b. Is z bigger than 1?
False
Let f(i) be the first derivative of i**2/2 - i - 6. Let j be f(2). Let w be 3/(-14*3/4). Is j greater than w?
True
Let x = 20 + -5. Let u = -27 + x. Is -1 less than or equal to u?
False
Let h = -43/30 - -3/5. Suppose 2*b - 42 = -2*b + 2*r, -3*b - r + 39 = 0. Suppose -4*w + m - 2 = -2*m, -b = 2*w + 4*m. Which is bigger: w or h?
h
Let p = 9 - 4. Let b = 0.19 - 5.09. Let h = b + p. Is h greater than -0.2?
True
Let w = -507/5 + 101. Let t(o) be the first derivative of o**4/4 + 3*o**3 + 7*o**2/2 - 7*o - 3. Let c be t(-8). Is w greater than c?
False
Let s = 0.072 - 0.232. Which is bigger: 1/3 or s?
1/3
Let q = -26.047 + 0.047. Let j = q + 17. Let y = -10 - j. Is y not equal to 1/4?
True
Suppose -2 = -4*u + 14. Suppose -u*g + 9 = -7. Suppose -4 = j - f, -5*j = g*f - 21 + 5. Is 4/3 <= j?
False
Suppose 0*g = 2*g - 16. Suppose 4*z + 0 = g. Let a be (-13)/(-14) + (-1)/z. Does -1 = a?
False
Let q(n) = 4*n - 1. Let y be q(1). Suppose a - 12 = -3*a. Suppose a*r + 0*r - 20 = -4*g, 0 = y*r - 3*g + 15. Which is greater: r or 3/5?
3/5
Let f be (-5)/(-3)*(-9)/24. Let m be (1 - (2 + -1))*(1 + -2). Is m bigger than f?
True
Let c = -10 - -11. Suppose -20 = 2*u + 3*u. Let v be c - (-2 + u/(-2)). Are v and 1/5 unequal?
True
Suppose 2*i - 4*w = -10, -1 - 3 = -2*w. Suppose -5*k + 8 = -k, 0 = 4*t - 5*k + 22. Which is smaller: t or i?
t
Let u = 3 + -1. Suppose -4 = u*h + 2*h. Is h less than -2?
False
Let b = -119/3 - -40. Let n(f) = -f**3 - 8*f**2 + 9*f - 1. Let z be n(-9). Which is bigger: z or b?
b
Suppose -4*q - 12 = -a - 9*q, -10 = -a - 4*q. Let m be a + 1/(6/(-15)). Is m >= 0?
False
Suppose 6 = -20*k + 18*k. Which is smaller: -5 or k?
-5
Let t(j) be the third derivative of -j**6/120 - j**5/6 - 5*j**4/12 - 3*j**3/2 - 5*j**2. Let h be t(-9). Let n = 0 + 0. Do h and n have the same value?
True
Let z = -0.8 - -1.8. Let o be (-1)/(-3) - (-8)/(-6). Let r be o/4*16/(-6). Do z and r have the same value?
False
Let o = -0.06 - -0.15. Let q = 0.11 + o. Which is smaller: -0.05 or q?
-0.05
Let o = -49 + 49. Which is bigger: o or -2.2?
o
Let t = 12.28 - -0.72. Which is greater: t or 0?
t
Let h = 13.13 - -0.57. Let i = h - 7. Let k = i - 7. Which is smaller: -1 or k?
-1
Let q(u) = u**3 + u**2 + 11. Let w be q(-3). Let o(c) be the first derivative of -c**4/4 + 2*c**3 - c**2/2 - c + 2. Let j be o(6). Is w at least as big as j?
True
Let u be (2/((-8)/(-10)))/((-45)/90). Are -4 and u unequal?
True
Suppose 3 = 5*j - 2. Which is smaller: -1/6 or j?
-1/6
Let w = 4.53 + -0.59. Let x = w + 0.06. Let z be 2*-1 + (0 - -1). Is x equal to z?
False
Let c = -0.7 - -1.72. Let g = c + -0.02. Let x = -2 - -3. Do g and x have the same value?
True
Let i = 17 + -43. Is 2/7 at least as big as i?
True
Let m = 3093/11 - 281. Suppose 3*d - 4 = -1. Is d less than m?
False
Suppose 0 = 3*g - 5*c - 19, -4*g + 39 - 8 = -c. Which is smaller: 7 or g?
7
Suppose -y + 3*l - 1 = 2, 0 = 3*l. Let k(q) = q**3 + 2*q**2 - 4*q - 2. Let a be k(y). Let m be ((-21)/(-12))/a - 2. Is m at least as big as 1?
False
Let w = -245/3 + 81. Which is greater: 1.4 or w?
1.4
Let o = 36 - 35.8. Is -10 bigger than o?
False
Let x(t) = t + 21. Let g be x(-11). Is g equal to 10?
True
Suppose 3*f + 7 = -50. Which is smaller: f or -20?
-20
Suppose -b - 2*b = -x - 13, 50 = 5*b + 4*x. Suppose -3*w + 2*g + b = 0, -3*g - 2*g = 3*w - 6. Let z = -23 + 47/2. Is w != z?
True
Let m = -19/33 + -1/11. Which is smaller: m or -4?
-4
Let w = 671/139 + -90171/25993. Let u = -20/17 + w. Which is smaller: u or -1?
-1
Suppose -2*t - 4*b + 6 = 0, -4*t = t - 4*b - 1. Let k be ((-3)/6)/(t/6). Let c = 0 + 0. Which is smaller: k or c?
k
Let b = 415 - 413.13. Let t = -0.13 - b. Is -4 > t?
False
Let o(y) = y**3 + y**2 + y - 1. Let i be o(1). Suppose 4*h - u = 13, 5*h - 4*u - 20 = -2*u. Is h smaller than i?
False
Let t be (2 + 0)*1/2. Suppose 2*j + 4 = -2*c, 5*j + t = -4*c - 8. Let o = -187/5 + 37. Is o greater than j?
True
Suppose -b = -6*s + s - 68, -s + 2*b - 10 = 0. Suppose 4*i = 7*i + 39. Which is greater: s or i?
i
Suppose p - 3 = -1. Is p < -0.1?
False
Suppose 0 = 5*b - 5*f + 4 + 1, -2*b = f - 4. Are 1/9 and b unequal?
True
Let f = 0.72 - 5.82. Let a = 5 + f. Let u = 1 + -2. Do u and a have different values?
True
Let b be ((-1)/(-10)*8)/(6/115). Is 16 bigger than b?
True
Let h be (-28)/(-36) + (-4)/(-18). Let p(y) be the third derivative of y**4/24 - 2*y**3/3 + y**2. Let i be p(3). Which is smaller: i or h?
i
Let r(d) = 2*d**2 + 28*d + 1. Let g be r(-14). Which is smaller: g or 2?
g
Let n = -0.01 - -3.01. Let h = n + -2. Is -0.2 bigger than h?
False
Let r be (46/204 + -2)/3. Let s = r + 5/34. Let i be (60/14 - 2) + -2. Is i at least as big as s?
True
Let v be -2 + (-179)/(-70) + -1. Let q = -2/35 + v. Are 2/7 and q equal?
False
Let w(d) = -d - 3. Let p be w(-7). Suppose -4 - p = -2*c. Which is bigger: c or 1?
c
Let l = 0.1 - -13.9. Let b = l - 10. Which is smaller: b or -2?
-2
Suppose -y + 2*n = -11, 3*y - 2*n = y + 12. Let g be 1/7*(-222)/(-118). Let x = 1/59 + g. Is y greater than x?
True
Suppose 2*p = 5*j - 3*p, 2*j - 4*p - 6 = 0. Let x be (2/9)/(8/12)*-9. Is x >= j?
True
Suppose 5*w - 54 = 3*i, -w + 0*w + 12 = -i. Let y = 9 - w. Is 2 != y?
True
Let m be (-7)/9*6/3. Which is smaller: -1 or m?
m
Let l = 4 - -4. Let w = 11 - l. Let q(y) = y. Let p be q(4). Which is greater: w or p?
p
Let r be (-1)/3 + (-6)/9. Let j = -14.2 + 14. Is r greater than j?
False
Let g = -2184777347/21918734191 - 2/6444791. Let k be ((-1)/1)/((-179)/(-1)). Let v = g + k. Is -1 <= v?
True
Let t be 6/(-16) - 7/(52 + 4). Which is bigger: -2 or t?
t
Suppose q - 7 = -0. Let i = 34 - 28. Is q bigger than i?
True
Suppose -4*f - 5*v + 16 = -2*f, 7 = -f + 5*v. Suppose -p = i + 4, -f*i + 0*i = 0. Is -26/5 at most as big as p?
True
Suppose 0 = 5*o + 84 + 16. Do o and -19 have different values?
True
Let s be (1 - (0 - 0)) + 44. Let f be ((-16)/(-10))/(9/s). Let i = f - 5. Which is bigger: 4 or i?
4
Suppose -2*c = -2*g + 30 - 8, -3*g + 22 = -2*c. Let s = c - -12. Is s <= 1/3?
False
Let n(t) = 5*t**2 + t - 3. Let z(l) = l**2 + 1. Let d(h) = -n(h) - 2*z(h). Let u be d(1). Is -6 at least as big as u?
True
Let v be (-8)/(-44)*10/(-4). Is v at most -1?
False
Let b( | {
"pile_set_name": "DM Mathematics"
} |
p(s). Factor o(z).
4*z*(z - 3)
Let w(t) = -t**2 + 57*t + 102. Let i(y) = 43 + 47*y**2 + 161 - 48*y**2 + 114*y. Let j(q) = -4*i(q) + 7*w(q). Factor j(a).
-3*(a + 2)*(a + 17)
Suppose -5*i = -i + 12, 0 = 3*p - 4*i - 21. Factor -13*c**p + 41*c**3 + 160 + 960*c - 8*c**3 + 27*c**2 + 423*c**2 + 35*c**3.
5*(c + 4)**2*(11*c + 2)
Let g(i) be the first derivative of i**7/385 + 7*i**6/220 + 6*i**5/55 - 17*i**2 - 125. Let d(c) be the second derivative of g(c). Factor d(h).
6*h**2*(h + 3)*(h + 4)/11
Let x be -22 + (-150)/(-3)*21/42. Factor -2/7*z**2 + 2/7 - 2/7*z**x + 2/7*z.
-2*(z - 1)*(z + 1)**2/7
Let q be (970/6 - 3) + (36 - (-2208)/(-64)). Factor 31/3*r - 1/6*r**2 - q.
-(r - 31)**2/6
Let o = 1590 + -1585. Let d(l) = -54 + 94*l - 82 + 12*l**3 + 106*l - 92*l**2. Let y(z) = 8*z**3 - 61*z**2 + 133*z - 91. Let b(s) = o*d(s) - 8*y(s). Factor b(n).
-4*(n - 3)*(n - 2)**2
Let k = -22 - -117/5. Let b = 11/5 - k. Factor 0*u**2 + 0 + 0*u + b*u**4 - 4/5*u**5 + 8/5*u**3.
-4*u**3*(u - 2)*(u + 1)/5
Let l = 975 - 958. Let v(d) be the first derivative of -2/15*d - 2/15*d**4 - l - 4/45*d**3 + 4/15*d**2 + 2/25*d**5. Suppose v(r) = 0. Calculate r.
-1, 1/3, 1
Factor 0*u + 0 + 368/7*u**2 - 12*u**3 - 2/7*u**4.
-2*u**2*(u - 4)*(u + 46)/7
Determine x so that 0*x - 200/7*x**3 + 0 + 0*x**2 - 4/7*x**4 = 0.
-50, 0
Suppose -400/3 - 10/3*m + 269/3*m**2 + 1/3*m**5 + 121/3*m**3 + 19/3*m**4 = 0. Calculate m.
-8, -5, -2, 1
Let p(s) be the first derivative of 70/9*s**3 + 1/6*s**4 - 122 - 12*s**2 + 0*s. Determine g so that p(g) = 0.
-36, 0, 1
Let b = 16509 + -16505. Let n(o) be the third derivative of 0 + 0*o**5 - 1/40*o**6 + 36*o**2 + 0*o**3 + 1/2*o**b + 0*o. Find v, given that n(v) = 0.
-2, 0, 2
Let p = 94690/172953 - 32/15723. Find j, given that p*j - 2/11*j**2 - 4/11 = 0.
1, 2
Let v(o) = o**3 + o**2 + 12*o + 57. Let y be v(-3). Suppose -18*b + 12 = y*a - 16*b, -5*a = 5*b - 25. What is i in -18/7*i**a - 3/7*i**3 + 0 - 27/7*i = 0?
-3, 0
Let l be (6/16 + -1)*1332/(-84915). Let b(i) be the third derivative of -23*i**2 + 1/510*i**5 + 0 + l*i**4 + 0*i + 1/51*i**3. Find k such that b(k) = 0.
-1
Solve 508/9*l**2 - 514/9*l**3 + 16 + 46/9*l**5 - 88/9*l**4 + 568/3*l = 0.
-2, -2/23, 3
Let i(m) be the second derivative of -13/80*m**5 + 0*m**2 + 0 + 21*m + 1/24*m**6 + 0*m**3 - 1/8*m**4. Factor i(c).
c**2*(c - 3)*(5*c + 2)/4
Let l be 7 - ((325/(-105) - -3) + (-2924)/(-714)). Suppose 16*r - 102/7*r**2 + 2*r**l - 24/7 = 0. What is r?
2/7, 1, 6
Let k be (-4)/10 + 348/70. Let z be 55440/224224 - 2/(-52). Solve 48/7*d + 2/7*d**4 + k + z*d**2 - 12/7*d**3 = 0.
-1, 4
Suppose 2*u + 1553 = -2*k - 3*u, 0 = -4*k + 2*u - 3118. Let f be 9/(-21) + k/(-1197). Suppose -f - 8/9*x - 8/9*x**3 - 2/9*x**4 - 4/3*x**2 = 0. Calculate x.
-1
Let k(y) = 4*y**2 - 664*y + 2136. Let o(q) = -8*q - 6. Let d(x) = k(x) + 6*o(x). Determine a so that d(a) = 0.
3, 175
Let m(b) be the first derivative of b**5/10 + 21*b**4/8 + 29*b**3/2 + 115*b**2/4 + 24*b + 5113. Determine h, given that m(h) = 0.
-16, -3, -1
Factor -396 - 393/2*d**2 + 1/2*d**3 - 593*d.
(d - 396)*(d + 1)*(d + 2)/2
Let h = 123771/82490 + -18/41245. Factor 4*g + 3*g**2 - 1/2*g**4 + 0 - h*g**3.
-g*(g - 2)*(g + 1)*(g + 4)/2
Let u(s) be the second derivative of -1/3*s**3 + 0*s**2 + 0 - 31*s + 1/10*s**5 + 1/30*s**4 - 1/75*s**6. Factor u(o).
-2*o*(o - 5)*(o - 1)*(o + 1)/5
Suppose 39*q - 24 = 31*q. Find r, given that -7 + 4*r + 278*r**2 - 1 - 270*r**2 - 4*r**q = 0.
-1, 1, 2
Let i(u) be the first derivative of 45*u**4/4 - 65*u**3/3 - 35*u**2 + 40*u + 3208. Solve i(f) = 0 for f.
-1, 4/9, 2
Let h(x) be the third derivative of -x**5/270 + 11*x**4/12 + 520*x**3/27 - 54*x**2 + 9*x - 1. Determine o, given that h(o) = 0.
-5, 104
Suppose 60 + 237 = 33*m. Suppose 7*p - m*p - 4 = 3*q, 0 = -5*p - 10. Find n, given that 0*n**2 + 4/7*n**4 + q*n + 0 + 16/7*n**3 = 0.
-4, 0
Let m(j) = -9*j**2 + 23*j + 4. Let g(q) = -5*q**2 + 13*q + 2. Let h = 192 + -196. Let v(y) = h*m(y) + 7*g(y). What is i in v(i) = 0?
-1, 2
Let r(z) be the first derivative of -z**3/3 + 13*z**2/2 + 51*z - 49. Let t be r(16). Factor -w**2 + w**3 + 26*w - 10*w**2 - w**5 - 4 + t*w**4 - 14*w.
-(w - 2)*(w - 1)**3*(w + 2)
Let o(f) be the second derivative of -f**6/6 - 9*f**5/2 - 50*f**4 - 880*f**3/3 - 960*f**2 + 14*f - 137. Let o(a) = 0. Calculate a.
-6, -4
Factor -335*m**2 - 15*m + 13*m + m**3 + 24 + 330*m**2.
(m - 4)*(m - 3)*(m + 2)
Let c(b) = b**3 + 9*b**2 - 24*b + 21. Suppose 12 = -3*q - 21. Let j be c(q). Factor 30 + 12*s**2 + 24*s**2 - 90*s**3 + 169*s**2 + 228*s - j*s.
-5*(s - 3)*(2*s + 1)*(9*s + 2)
Factor 0 + 43/4*b**3 + b**4 - 179/4*b**2 + 21/2*b.
b*(b - 3)*(b + 14)*(4*b - 1)/4
Let a(p) be the first derivative of -5*p**3/3 - 160*p**2 - 4715*p - 1830. Factor a(n).
-5*(n + 23)*(n + 41)
Let o(u) = u + 10. Let z be o(-9). Let -t**2 + 3 + 5*t + 6*t - z + 10 = 0. What is t?
-1, 12
Let g be -2*(63/14 - 12/2). Factor -71*v + 51*v + 32 - 5*v**2 + 36*v - 3*v**2 + 0*v**2 - 4*v**g.
-4*(v - 2)*(v + 2)**2
Determine g so that -1028/9*g + 2/9*g**2 + 1022/3 = 0.
3, 511
Solve -78*a - 156*a**4 - 428*a**3 + 20*a**3 + 4518 - 4518 + 174*a - 272*a**2 - 16*a**5 = 0.
-6, -2, 0, 1/4
Let a(m) be the first derivative of m**5/6 + 17*m**4/24 + m**3/18 - 17*m**2/12 - m - 396. Determine b, given that a(b) = 0.
-3, -1, -2/5, 1
Factor -4/3*x**2 - 3604/3*x - 1200.
-4*(x + 1)*(x + 900)/3
Let t(b) be the second derivative of -b**7/10080 - 11*b**6/360 - 121*b**5/30 + 5*b**4/4 - b**3/3 - 45*b. Let w(r) be the third derivative of t(r). Factor w(a).
-(a + 44)**2/4
Let i = -512811/2 - -256406. Factor 5/2*v - i*v**3 + 0 - 2*v**2.
-v*(v - 1)*(v + 5)/2
Let v(j) be the third derivative of 0*j + 8 + 1/780*j**6 + 11/390*j**5 + 4*j**2 - 1/13*j**4 + 0*j**3. Suppose v(r) = 0. Calculate r.
-12, 0, 1
Let z = 345 + -343. Suppose -8*x**5 - z*x - 18 - 18*x**3 - 8*x**5 + 52*x**2 + 11*x**3 - 40*x**4 + 5*x + 14*x**3 = 0. Calculate x.
-2, -1, 3/4
Let v(f) = -f**2 + 9*f + 72. Let q be v(14). Determine a so that -10*a**3 - 5*a**2 + 0*a**q + 12*a - 7*a = 0.
-1, 0, 1/2
Let c(l) be the third derivative of l**8/2688 + 59*l**7/336 + 9603*l**6/320 + 303831*l**5/160 - 323433*l**4/32 + 1472*l**2. Determine i so that c(i) = 0.
-99, 0, 2
Suppose -114/7*w + 1/7*w**2 - 351/7 = 0. Calculate w.
-3, 117
Let n(w) = w**3 - 13*w**2 + 11*w + 12. Let u be n(12). Suppose -p = -u*p - 6. Find g such that 13 - 40 + 2 - 10*g + p*g**2 - 7*g**2 = 0.
-5
Let s = 722 + -688. Suppose 4*z - s + 18 = 0. Factor 2/5*v**z - 4/5*v**3 + 0 + 0*v**2 + 0*v + 2/5*v**5.
2*v**3*(v - 1)*(v + 2)/5
Let b(l) be the first derivative of -2*l**3/9 + 34*l**2 + 416*l/3 - 379. Factor b(f).
-2*(f - 104)*(f + 2)/3
Let i = -73 - -75. Suppose n - 9 = -2*s, 4*n + 4*s = i*s + 60. Factor 2*o**2 + 14*o + n*o - 14*o + 98 + 11*o.
2*(o + 7)**2
Let z(x) = -17*x**4 + 276*x**3 + 278*x**2 - 300*x - 301. Let l(m) = -2*m**4 - m**3 - m**2 - 2*m - 2. Let g(p) = 24*l(p) - 3*z(p). Factor g(r).
3*(r - 285)*(r - 1)*(r + 1)**2
Let c(i) be the third derivative of 1/120*i**5 + 0*i**3 - 1 - 97*i**2 + 31/48*i**4 + 0*i. Factor c(t).
t*(t + 31)/2
Let h(x) be the first derivative of x**4/14 - 10*x**3/21 - 521*x**2/7 + 150*x + 6323. Determine w, given that h(w) = 0.
-21, 1, 25
Let x(z) be the third derivative of -13/6*z**3 + 1/360*z**6 + 0 + 1/30*z**5 + 0*z - 4*z**2 + 1/6*z**4. Let f(v) be the first derivative of x(v). Factor f(d).
(d + 2)**2
Let f be (-150)/(-4) + 30/(-12) + 2. What is i in i**4 - f*i**3 + 2 + 23*i**3 - 5 + 18*i**3 - 4*i + 2*i**2 = 0?
-3, -1, 1
What is d in -4*d**4 - 4/7*d**5 + 0 + 108/7*d**2 - 4/7*d**3 - 72/7*d = 0?
-6, -3, 0, 1
Let r(k) = -2*k**2 + 3*k - 31. Let h be r(3). Let m be (-171)/(-56) - 5*3/h. Find j such that -m*j**2 - 8*j**3 + 0*j + 0 + 10/7*j**4 = 0.
-2/5, 0, 6
Suppose -5*b - h + 32 = h, 16 = 4*b + 4*h. Factor -38 - 3*w**2 - 9*w + 12*w + b + 30*w.
-3*(w - 10)*(w - 1)
Factor -574/3*y - 2/3*y**3 + 380/3 + 196/3*y**2.
-2*(y - 95)*(y - 2)*(y - 1)/3
Let y(t) = t**2 + t. Let q be y(-3). Suppose -q*u + 22 = 4. Determine m, given that 9*m**2 - 5*m**u - 12*m + 3*m**3 + 3*m**2 - m**3 = 0.
0, 2
Suppose -5*v - 2*x = -47, 4 - 11 = -v - x. Find h, given that 8*h**4 - 17*h**2 - 18*h**2 - v*h**2 - 48*h + 4*h**5 + 17*h**2 - 28*h**3 - 51*h**2 = 0.
-2, -1, 0, 3
Let l = 6 + -4. Suppose 155*g - 164*g + 45 = 0. Determine p so that -24*p**4 + 128/5 + 448/5*p | {
"pile_set_name": "DM Mathematics"
} |
t are the prime factors of 282188160?
2, 3, 5, 48991
What are the prime factors of 624882170?
2, 5, 11, 23, 61, 4049
What are the prime factors of 2642997674?
2, 4129, 320053
List the prime factors of 212696239.
7, 31, 37, 59, 449
What are the prime factors of 1405929681?
3, 13, 19, 632447
List the prime factors of 836837428.
2, 7, 23, 1299437
List the prime factors of 41954604.
2, 3, 3496217
List the prime factors of 6245622.
2, 3, 59, 5881
List the prime factors of 2080707198.
2, 3, 346784533
What are the prime factors of 89534971?
17, 751, 7013
List the prime factors of 2165317427.
7, 13, 61, 390077
List the prime factors of 313953211.
11, 13, 113, 19429
List the prime factors of 310374149.
227, 409, 3343
What are the prime factors of 212927445?
3, 5, 23, 409, 503
List the prime factors of 10543919.
89, 118471
What are the prime factors of 79116599?
79116599
What are the prime factors of 451637418?
2, 3, 75272903
List the prime factors of 3797278107.
3, 7, 180822767
List the prime factors of 242304969.
3, 307, 263089
What are the prime factors of 488175909?
3, 13, 347, 36073
What are the prime factors of 783585871?
23789, 32939
List the prime factors of 43274613.
3, 3677, 3923
What are the prime factors of 1110896451?
3, 7, 1959253
List the prime factors of 1701744504.
2, 3, 31, 2287291
List the prime factors of 1023122901.
3, 337, 661, 1531
List the prime factors of 102143263.
102143263
List the prime factors of 891653632.
2, 1741511
What are the prime factors of 80830953?
3, 7, 142559
What are the prime factors of 1252248407?
17, 367, 200713
What are the prime factors of 6280249818?
2, 3, 421, 2486243
What are the prime factors of 1665382651?
31, 53722021
What are the prime factors of 71164053?
3, 7907117
What are the prime factors of 373212549?
3, 13822687
What are the prime factors of 39890900?
2, 5, 7, 1163
What are the prime factors of 147607343?
13, 103, 110237
List the prime factors of 148956015.
3, 5, 13, 461, 1657
What are the prime factors of 1548576139?
11, 31, 1013, 4483
What are the prime factors of 11130001?
11130001
List the prime factors of 3411590079.
3, 269, 593, 7129
List the prime factors of 5621711.
577, 9743
List the prime factors of 215992804.
2, 53998201
List the prime factors of 5132593147.
11, 241, 1936097
List the prime factors of 4573244212.
2, 587, 1947719
What are the prime factors of 84742822?
2, 42371411
List the prime factors of 1121005563.
3, 373668521
What are the prime factors of 2537503235?
5, 507500647
List the prime factors of 1199214390.
2, 3, 5, 11, 3633983
What are the prime factors of 466337414?
2, 157, 1163, 1277
What are the prime factors of 166563304?
2, 20820413
List the prime factors of 1143202997.
29, 39420793
List the prime factors of 494860266.
2, 3, 79, 12889
What are the prime factors of 730698633?
3, 7, 89, 18617
What are the prime factors of 1526266423?
11, 997, 139169
What are the prime factors of 82628590?
2, 5, 11, 53, 14173
What are the prime factors of 2452623611?
317, 383, 20201
What are the prime factors of 978970555?
5, 195794111
What are the prime factors of 742798364?
2, 7, 11, 293, 8231
What are the prime factors of 630269441?
17, 29, 1278437
List the prime factors of 28826190.
2, 3, 5, 320291
List the prime factors of 415286491.
719, 577589
What are the prime factors of 2939333?
47, 62539
List the prime factors of 6678637912.
2, 181, 4612319
What are the prime factors of 1013715871?
7, 239, 86561
List the prime factors of 2474727851.
79, 31325669
What are the prime factors of 2816523973?
131, 1109, 19387
List the prime factors of 147842835.
3, 5, 7, 1408027
What are the prime factors of 4429873204?
2, 1107468301
List the prime factors of 1565694116.
2, 7, 577, 96911
What are the prime factors of 568893274?
2, 284446637
List the prime factors of 505979611.
19463, 25997
List the prime factors of 499226607.
3, 11, 17, 37, 8017
List the prime factors of 723196207.
97, 7455631
What are the prime factors of 927153646?
2, 463576823
What are the prime factors of 909841276?
2, 227460319
List the prime factors of 34710133.
211, 164503
List the prime factors of 45208740.
2, 3, 5, 401, 1879
What are the prime factors of 1805037590?
2, 5, 180503759
What are the prime factors of 841942056?
2, 3, 35080919
What are the prime factors of 5239871880?
2, 3, 5, 137, 139, 2293
What are the prime factors of 55342908?
2, 3, 883, 1741
List the prime factors of 19452732.
2, 3, 13, 19, 6563
What are the prime factors of 1182305683?
13, 31, 43, 68227
What are the prime factors of 204073785?
3, 5, 4534973
What are the prime factors of 392907733?
31, 47, 8699
List the prime factors of 106161052.
2, 26540263
List the prime factors of 73248640.
2, 5, 114451
What are the prime factors of 5740817219?
5740817219
What are the prime factors of 98144930?
2, 5, 13, 47, 16063
List the prime factors of 74186165.
5, 19, 269, 2903
List the prime factors of 509263482.
2, 3, 7, 13, 229, 4073
List the prime factors of 94509161.
94509161
What are the prime factors of 86701677?
3, 29, 996571
What are the prime factors of 58202693?
43, 1353551
What are the prime factors of 3567674086?
2, 1783837043
What are the prime factors of 352804636?
2, 23, 3834833
List the prime factors of 624766317.
3, 7, 4250111
What are the prime factors of 146051539?
17, 1103, 7789
List the prime factors of 2371785582.
2, 3, 395297597
List the prime factors of 5146197609.
3, 7, 35008147
List the prime factors of 4344016791.
3, 317, 4567841
List the prime factors of 1938793789.
1938793789
List the prime factors of 109820186.
2, 7, 151, 51949
List the prime factors of 539560964.
2, 134890241
What are the prime factors of 542287365?
3, 5, 36152491
What are the prime factors of 10993937?
10993937
List the prime factors of 1224539497.
41, 29866817
What are the prime factors of 23469032?
2, 2933629
What are the prime factors of 357763148?
2, 1009, 88643
List the prime factors of 5831123217.
3, 1943707739
What are the prime factors of 406127846?
2, 47, 4320509
List the prime factors of 296743439.
31, 9572369
List the prime factors of 1520523744.
2, 3, 23, 79, 379
What are the prime factors of 820425004?
2, 7, 29300893
List the prime factors of 31966630.
2, 5, 17, 43, 4373
What are the prime factors of 776709444?
2, 3, 7, 137, 67493
What are the prime factors of 956964630?
2, 3, 5, 31898821
List the prime factors of 70069689.
3, 7785521
List the prime factors of 256355259.
3, 85451753
What are the prime factors of 3711535269?
3, 13, 103, 199, 4643
List the prime factors of 1207971178.
2, 23, 1723, 15241
What are the prime factors of 1181002508?
2, 7, 860789
List the prime factors of 625098134.
2, 331, 944257
List the prime factors of 497092258.
2, 13, 19118933
What are the prime factors of 25901901?
3, 29, 99241
What are the prime factors of 6816926?
2, 241, 14143
List the prime factors of 582353769.
3, 10531, 18433
What are the prime factors of 1646188026?
2, 3, 7, 229, 499
What are the prime factors of 6802093165?
5, 7, 194345519
What are the prime factors of 463959782?
2, 11, 13, 449, 3613
What are the prime factors of 122707039?
7, 13, 113, 11933
What are the prime factors of 1621498008?
2, 3, 13, 43, 120863
List the prime factors of 8431285.
5, 1686257
List the prime factors of 2649728981.
8291, 319591
List the prime factors of 898996001.
19, 31, 1091, 1399
What are the prime factors of 44182369?
7, 11, 81971
List the prime factors of 1091134900.
2, 5, 31, 523, 673
List the prime factors of 27072027.
3, 83, 36241
What are the prime factors of 145340305?
5, 11, 59, 44789
List the prime factors of 2669879226.
2, 3, 7, 37, 1718069
What are the prime factors of 3205084102?
2, 11, 6571, 22171
What are the prime factors of 511513665?
3, 5, 13, 2623147
List the prime factors of 88704714.
2, 3, 7, 2112017
List the prime factors of 819892258.
2, 1327, 308927
List the prime factors of 2558185586.
2, 11, 7927, 14669
What are the prime factors of 1692357224?
2, 211544653
What are the prime factors of 322255627?
29, 11112263
What are the prime factors of 714989834?
2, 13, 27499609
What are the prime factors of 939606219?
3, 1153, 90547
List the prime factors of 450123.
3, 150041
List the prime factors of 199435267.
19, 107, 263, 373
List the prime factors | {
"pile_set_name": "DM Mathematics"
} |
e -6*x - 6*a - 4*a = 620, -202 = -82541*x + 82546*x - 3*a + 6*a for x.
-5
Solve -s - 230 = 3*r - 182, 0 = 2*r - 5*s - 172 for r.
-4
Solve -8*f - 2720 = -4*k - 2628, 2*f - 35*k = -533 for f.
-4
Solve -10 = -3*b + 15*m - 31, -21 = -5*b + 9*b + 2*m + 51 for b.
-17
Solve -t - 2*r - r - 2768 + 2761 = 0, 62 = -6*t + 2*r for t.
-10
Solve -65*z - 25 = -0*c - 4*c, 10 + 12 = 1236*c - 1238*c - 3*z + z for c.
-10
Solve 2*p - 8*o - 2 = 10, 96*o - 4 = 92*o for p.
10
Solve 359 = 3*o + 83*u + 12*u, 4*o - 2*o + 18 = u for o.
-7
Solve 5*v - 487*r + 165*r + 160*r = -156*r + 79, 65 = 4*v - 3*r for v.
17
Solve 5*v + 7*v - 178*s - 7*s - 735 = 10*v - 3*v, -15 = -v + 4*s for v.
-1
Solve 25561*m - 22*w + 88 = 25562*m, m - 3*w + 12 = 0 for m.
0
Solve -40 - 10 = -5*w - 5*b, 317811 = 2*w + b + 317796 for w.
5
Solve -a - a - 49 = 5*b - 16, 7*b + 48*b = -a + 36 for a.
-19
Solve 470*g = 4*t + 469*g + 24, -3*g + 57 = -9*t for t.
-5
Solve -5*h + 10*h - 8*h = 41*m + 88, -10 = 5*h for m.
-2
Solve d - 2*d - 5698*z + 5699*z + 7 + 2 = 0, 6*d = -4*z + 104 for d.
14
Solve 6 = -2*l - 2*x, -40 = -10*l + 4*x - 38 + 38 for l.
2
Solve 2*s - 3*s - 6 = 2*o, 33*o - 157 = s - 22*o + 20 for s.
-12
Solve 5*g = 3*x - 105, 15593*g = 15601*g + 3*x - 105 for g.
0
Solve 2*n - u + 10 = n - 4, 4*u = n + 5*u - 18 for n.
2
Solve d + 3299*k - 3294*k = 8, -5*d = 7*k - 58 for d.
13
Solve 1573*m = 5*v + 785*m + 783*m, 5*v + 2*m - 35 = 0 for v.
5
Solve 5*a + 19 = 4*z, 2*a + 4385*z - 26 = 4390*z - 71 for a.
5
Solve 0 = 3*v + 21, -149*v = -t - 64*v - 87*v - 13 for t.
1
Solve 16*q - 3*h - 81 = 22*q, -79 = -4*q + 5*h for q.
-4
Solve -b - 433959*h + 433955*h - 88 = 0, -5*b - 9*h = 187 for b.
4
Solve -2*b + 10*b - 3*b - 12*t + 7*t + 80 = 0, -53 = 2*b - 7*t + 79 for b.
4
Solve -22 = -11*t - 9*q, -36490 = 2*t + q - 36494 for t.
2
Solve 2*m - 75 = -p + 17 + 5, 3*p - 195 = -4*m for p.
1
Solve -14074102 + 14074000 = -3*p - 8*n, -164 = -4*p - 13*n for p.
2
Solve k - 3*t + 0*t - 92 = -0*k, 204*k = 171*k - 7*t - 250 for k.
-1
Solve -369 + 365 = 4*u - 4*q, 7*q + 9 = 5*u + 22 for u.
3
Solve -2*a - a + 1128 = -385*x, -3*x = 4*a - 1056 + 1101 for x.
-3
Solve 28 = -3*g + 73*h - 68*h, 0 = -2*g + 36*h + 14 for g.
-11
Solve 59 = 4*t - 0*d + 5*d, 994*t - 1001*t - 3*d = -17 for t.
-4
Solve -8*n + 33463 = -6*k + 33447, k + 9 = -5*n for n.
-1
Solve -w = 3*b + b - 5*w + 32, -6*b - 38 = -15029*w + 15024*w for b.
2
Solve 3*c = -5*o - 48, -61*c + 7*o = -59*c - 92 for c.
4
Solve -5*y + 31*w + 336 = 0, -4068*y + 4069*y + 8*w = -2*w + 8*w - 23 for y.
-1
Solve -c + 0 = d - 9, -9*c + 15*d = -12*c - c - 8 for c.
13
Solve 9186*p - 53 = -26*m + 9181*p, 3*m - 2*p + 30 + 18 = 0 for m.
-2
Solve 3*d + 3*d - 9*d - 3*v = -24, 8*d = 11*v + 26 for d.
6
Solve -3*a = -y - 22, -3*a - 142367*y = -142365*y + 80 for a.
-4
Solve -7*i = -l - 321, -8*i - 123*l + 127*l + 364 = 0 for i.
46
Solve -5*r + 20 - 155 = 0, 4388*r = -3*p + 4422*r + 915 for p.
-1
Solve 190430*t - 5 = 190431*t, 2*p = -2*t for p.
5
Solve 2 = 3*m + 4*s, 73*m - 44*m - 25*m = -2*s + s + 7 for m.
2
Solve -9*q - 4*w + 59 = 0, 2*w = -71*q + 75*q - 3*w - 33 for q.
7
Solve -4*t - 3*c + 10 = 0, -880*c + 885*c = -t - 6 for t.
4
Solve 40652*w - 40655*w = 3, 9 = 5*n + w for n.
2
Solve 4*b - 149 = -2*b + y - 35, 0 = -9*b + y + 171 for b.
19
Solve -16 = -2*d, -48074 + 48108 = 2*s + 4*d for s.
1
Solve -66 = 8*f + 2*a, 101 = 4*f + 3*a + 136 for f.
-8
Solve -i + 4*i + 2*v + 84 - 122 = 0, 3*i + v - 37 = 0 for i.
12
Solve 1092 = 3*o - 10*d - 5*d, 279*o - 5*d = 275*o + 376 for o.
4
Solve -130*l + 126*l - 6 = 2*s, -11 = -l - 3*s for l.
-4
Solve -8*r + 5*b - 190 = 0, 76 = 3*r + 299*b - 297*b for r.
0
Solve 1267*i - 1278*i - 4*k = -225, -3*k + 88 = 4*i for i.
19
Solve -4*d + 12 = p, 0 = 4*d - 2*p + 14*p + 21*p - 140 for d.
2
Solve 6127*d - 6131*d - 142 = -2*n, n + d + 40 = 0 for n.
-3
Solve 4*n = 3*h - 23 + 19, -56 + 14 = -4*h - 2616*n + 2614*n for h.
8
Solve 2*p - 4*g = 4, -45692*p + 2 = -45690*p - 3*g for p.
-2
Solve 2*g - 2977*p + 33 = -g - 2975*p, -8*g = -2*g + 6*p + 96 for g.
-13
Solve -8*t + 0*t = -10*t + 3*l + 15, 4*t - l - 35 = 0 for t.
9
Solve -10*s - 7495*f + 7497*f - 58 = 0, -4*s = 3*f + 27 for s.
-6
Solve -40 = 23448*r - 23444*r + p, 4*p = 2*r + 38 for r.
-11
Solve 14*n = 10*n - 9*f - 41, -5 = 5*n - 9*f + 11*f for n.
1
Solve -3*z + 158 - 318 = v - 149, z = 3*z + 7*v - 37 for z.
-6
Solve 2*q + 3*i + 96 = 109, 5*i - 20 = -3*q for q.
5
Solve 25*f - 64*f + 38*f = 3*c - 22, 0 = 4*c - 5*f + 15 for c.
5
Solve -5*v + 22 = v + 2*r + 4 - 30, 0 = 4*v - r - 32 for v.
8
Solve 8*u + 5*y - 4845 + 5306 = 0, 5*u = -3*y - 0*y - 2*y - 290 for u.
-57
Solve -4*k = 14*x + 296, k + 32 = 3*k - 2*x for k.
-4
Solve -2*v - 36 = 4*a, -125*a + 126*a = 8*v + 93 for v.
-12
Solve 7*a = -t - 147 + 6 + 313, -6*a = -4*t - t - 165 for t.
-3
Solve 32*u - 64*u + r - 61 = -35*u, 4*u + 2*r - 84 = 0 for u.
19
Solve 15697*w - 15702*w = -2*y + 11, 3*y + 15 = -3*w for w.
-3
Solve -18 = 254*n - 2*w, -112*n - 4*w + 36 = -113*n for n.
0
Solve 0*v + 85 = v - 3*w, -22*v + 2150 = -5*w + 6*w + 3*w for v.
97
Solve -o + 40 = 2*f - 4*o - 0, 13*f - 2*o - 190 = 0 for f.
14
Solve 4*x - 112 + 69 = -4*n - 71, -2*n - 4 = 0 for x.
-5
Solve -4*s - 109 + 5 = 4*y, -2*s + 128 = -189*y + 185*y for y.
-30
Solve n + 47 = -15*f - 2*n - 16, 0 = -5*f - 3*n - 83 for f.
2
Solve -87*b - 13 = -92*b + d + 97, -8*b + 209 = 5*d for b.
23
Solve 5*w - 7 = -f, 62 - 43 = f - 5*w + 7*w for f.
27
Solve 5*m - 1 = -r, m + 0*m - 14436 + 14459 = -6*r for m.
1
Solve -3*t + b = -34, 0 = -4*t - 17*b + 19 - 8 + 71 for t.
12
Solve 0 = -z - 4*b - 24, 2*z + 309628 - 309658 = -z + 5*b for z.
0
Solve 30*c + 179 = -4*k - 32*c + 112*c - 43*c, -c = k + 42 for k.
-43
Solve -3*f + 562 = -187*h - 545, 16*f - 12*f = -20 for h.
-6
Solve -20 = -2*k - 0*k - 4*j, -4*k + 1703 - 1723 = -7*j for k.
2
Solve 7*g + 4*i + 74 - 177 = 0, 124 = 4*i for g.
-3
Solve -5*c - 3*f + 138 = 124, -556*c + f = -559*c - 2 for c.
-5
Solve -2*j = 13*n + 50, 2 = -72*j + 70*j - n for j.
1
Solve 5*k + 21*u = 23*u - 95, 89*k + 4*u = 84*k + 115 for k.
-5
Solve -4*b + 4 = f, 4*f + 44 = -6*b + 10*b - 5*f for b.
2
Solve 0 = 596*q - 593*q + 7*x + 34, 218 - 31 = -9*q - 4*x for q.
-23
Solve -5*j = 30*z + 10, 0 = -z - 283983*j + 283984*j - 5 for z.
-1
Solve 22 = -3*j - 2*h - 3, 146*j - 3*h - 491 = 344 - 45 for j.
5
Solve 32*g = 3*q - 171, 4*q = -212*g + 208*g + 88 for g.
-3
Solve 7*c - 3*c = u - 6*u + 57, 11*u - 31 = 3*c for u.
5
Solve 3*z - 3*d + 1165755 - 1165725 = 0, 16*z - d + 100 = 0 for z.
-6
Solve 80*c = 35*u + 76*c + 68, -2*u = -5*c + 85 for u.
0
Solve -3*d + 2 = 5*p, 2 = -3*p + 55*d - 30*d - 26*d for p.
-2
Solve 12 = 2*x - 169*w + 171*w, 6 = 4*x - 2*w for x.
3
Solve 2905*r - 16*u = 2908*r + 34*u + 156, -3*r + 3*u + 3 = 0 for r.
-2
Solve -5*o + 5*b = -35, -26*o - 1983 = 4*b - 3823 + 1928 for o.
-2
Solve -3*m - 22*m + 7*a + 63 = -23*m, 3*m + 4*a = -36 for m.
0
Solve -4*w = -27*o + 26*o + 4*w + 470, 2*o - 232 = 4*w for o.
-2
Solve -15*l + z + 47 - 32 = -12*l, 14*l + 75 = -5*z for l.
0
Solve 2*j + h - 19210 = -19190, 0 = 5*j - 3*h + 5 for j.
5
Solve h + 205*s - 208*s = 4*h + 36, 4*h - 47 = 15*s for h.
-7
Solve 614*v + z + 35 = 617*v, 4*v - 40 = 3*z for v.
13
Solve -b = -2*x - 1948 + 1958, -6*b - 42 - 72 = 3*b - 6*x for b.
-14
Solve -2*n - 13 + 47 = 4*b, -4545*b + 5*n - 50 = -4548*b for b.
5
Solve 2*g + 0*a + 15268 = -g - 4*a + 15227, -11 = 9*g - 6*g - 2*a for g.
-7
Solve 10*y + 2098 = 3*n + 2058, -4*n = -4*y - 72 for y.
2
Solve -3448*s + 3451*s - 26*k = 140, 3*s - 16 = -5*k for s.
12
Solve -2*m + 5*m - 3*d - d - 93 = -3*d, -5*d = -19*m + 585 for m.
30
Solve 0 = -14*s - 3*d + 52, -16*s = -9*s - 11*s - 10*d - 40 for s.
5
Solve y = 5*p + 105, 276*y + 284*y - 558*y - 130 = 6*p for p.
-20
Solve 3*q - 4*a = -191, -220 + 405 = -5*q + 4*a for q.
3
Solve 2*j = 2*n + 12, -973*j + 10 = -968*j - 25 for n.
1
Solve 23*v + 20 + 58 = 12*v + 7*v + 18, -a - 163 = 11*v for a.
2
Solve 634*j + 10 = -3*r + 638*j, 1 = j for r.
-2
Solve 3*l = -0*l + l + 2, -x + 5*x + 9*x = 3*l - 146 for x.
-11
Solve 2*v = 10607*z - 10603*z + 24, 0 = -2*z - 3*v + 76 for z.
5
Solve -8*v - 26 = 5*d + 38, -2*v - d - 141 = -125 for v.
-8
Solve -5*f - 3*b + 70 + 24 = -11, 4*f = 3*b + 84 for f.
21
Solve -3*v + 2*r + 348 = 416, 0 = -3*v + 70*r - 340 for v.
-20
Solve -5*g - 2*o = | {
"pile_set_name": "DM Mathematics"
} |
16, what is c9 - 3b?
8e
In base 3, what is 1 - -11102021?
11102022
In base 2, what is -10100111 - -10?
-10100101
In base 4, what is 20 + -130?
-110
In base 15, what is 210 - 2?
20d
In base 7, what is -64 + 1?
-63
In base 9, what is -82 + 4?
-77
In base 10, what is 10 + 362?
372
In base 15, what is 2 - -b0?
b2
In base 9, what is -4 - 13?
-17
In base 13, what is -87 - -1?
-86
In base 9, what is -1 - 866?
-867
In base 7, what is -21 + 3365?
3344
In base 9, what is -11 + -2?
-13
In base 6, what is -51 - 4?
-55
In base 16, what is -c + 134?
128
In base 15, what is 2 - 148?
-146
In base 10, what is -3 - 2226?
-2229
In base 9, what is 5 - 1203?
-1187
In base 14, what is -13c - 15?
-153
In base 12, what is 42 + -2?
40
In base 12, what is b2b - -2?
b31
In base 14, what is -ac2 - -5?
-abb
In base 10, what is -1 - 499?
-500
In base 8, what is -4575 + -2?
-4577
In base 11, what is 3a + -7?
33
In base 15, what is 91 + -93?
-2
In base 3, what is -211021 - -10?
-211011
In base 16, what is db - -1?
dc
In base 2, what is -10000001001 - 1?
-10000001010
In base 9, what is 5 - 180?
-174
In base 14, what is 13 + 2b?
40
In base 9, what is -221 - 3?
-224
In base 9, what is 0 + 1314?
1314
In base 5, what is -2 - -13043?
13041
In base 13, what is 9b - -73?
141
In base 16, what is -1 + -c5?
-c6
In base 16, what is -20 + 20?
0
In base 6, what is -4 - 5552?
-10000
In base 13, what is -5 - -1654?
164c
In base 2, what is -10100 - -1001?
-1011
In base 12, what is 22 - 16?
8
In base 11, what is -2 - -2?
0
In base 16, what is 229b - -1?
229c
In base 13, what is 4 + -52?
-4b
In base 7, what is 14256 - 2?
14254
In base 9, what is -1 - -36?
35
In base 11, what is 76 - 0?
76
In base 11, what is 1809 - -1?
180a
In base 10, what is 1834 + 0?
1834
In base 13, what is -2a + 0?
-2a
In base 13, what is -37c - -4?
-378
In base 6, what is -31304 + -1?
-31305
In base 14, what is -27 + -19?
-42
In base 6, what is -15 - 124?
-143
In base 4, what is 2 - 1232?
-1230
In base 10, what is 10 + 145?
155
In base 8, what is -3 + 247?
244
In base 16, what is -5 + -1fe?
-203
In base 2, what is -10 - -11101101?
11101011
In base 6, what is -1522 - 0?
-1522
In base 3, what is 10 - 102?
-22
In base 5, what is 420 - 0?
420
In base 10, what is 6 - 1261?
-1255
In base 11, what is -12 + -38?
-4a
In base 8, what is -137 - 6?
-145
In base 4, what is -1 - -3232?
3231
In base 16, what is ab - -2?
ad
In base 2, what is -100 - -110111000?
110110100
In base 9, what is -4 + 1180?
1175
In base 11, what is -13147 + 5?
-13142
In base 2, what is 11 - 110101001?
-110100110
In base 10, what is -4 + 540?
536
In base 4, what is -11 - 213232?
-213303
In base 9, what is -13 + -5?
-18
In base 5, what is -1 + 12042?
12041
In base 6, what is 50 + -24?
22
In base 3, what is -1112 + -12?
-1201
In base 5, what is 3403 + 3?
3411
In base 6, what is 2423 - -13?
2440
In base 8, what is 4 - 15024?
-15020
In base 12, what is 2 + -5a?
-58
In base 15, what is -1a - -3?
-17
In base 7, what is -1014 - 5?
-1022
In base 16, what is -bd6 + 2?
-bd4
In base 3, what is 2210111 + -12?
2210022
In base 16, what is 1d + -61?
-44
In base 6, what is -12 - 1?
-13
In base 7, what is 62 + 101?
163
In base 13, what is -55 + 9?
-49
In base 7, what is -56564 + -3?
-56600
In base 2, what is -1001 - -101011100?
101010011
In base 3, what is -10 + -1110121?
-1110201
In base 14, what is -31 - -6?
-29
In base 16, what is -5 - 17d7?
-17dc
In base 9, what is 115 - -35?
151
In base 11, what is -1 - 402?
-403
In base 13, what is 0 - -c8b?
c8b
In base 7, what is -6 - 46?
-55
In base 11, what is -63 - 9?
-71
In base 13, what is 6 - -2c?
35
In base 6, what is 1 - -3213?
3214
In base 3, what is -10021 + -11?
-10102
In base 8, what is -4 + 11?
5
In base 4, what is 11310 + 10?
11320
In base 15, what is -7 + -2?
-9
In base 9, what is -3 - 50?
-53
In base 14, what is -8 + -dc?
-106
In base 9, what is -1877 + 5?
-1872
In base 4, what is 1 - -1311031?
1311032
In base 11, what is 2 + 17?
19
In base 4, what is -2 - 30013?
-30021
In base 11, what is -3 + -31?
-34
In base 4, what is -23 + 313?
230
In base 16, what is 3 - f4?
-f1
In base 10, what is 1 - 1332?
-1331
In base 15, what is -3 + 47?
44
In base 9, what is 4 - -26?
31
In base 5, what is -24 + 1?
-23
In base 13, what is -a - 46?
-53
In base 10, what is -306 + 1?
-305
In base 6, what is -15 - -14?
-1
In base 8, what is 472 - -1?
473
In base 13, what is -3ba + -1?
-3bb
In base 16, what is dd - -4?
e1
In base 5, what is -4 + 3331?
3322
In base 9, what is 1 + -75?
-74
In base 9, what is -6 + 60?
53
In base 13, what is -5a + 31?
-29
In base 6, what is 2 - 41035?
-41033
In base 6, what is 3 + 54?
101
In base 14, what is 3 + -30?
-2b
In base 8, what is -72 + -2?
-74
In base 12, what is -2 - 3370?
-3372
In base 12, what is 1 - -9?
a
In base 3, what is -11 + -211012?
-211100
In base 11, what is -67 + 3?
-64
In base 11, what is -60 + -87?
-137
In base 12, what is -7 + -28?
-33
In base 3, what is -2101 - 10?
-2111
In base 16, what is -821 - -2?
-81f
In base 7, what is -162 + 13?
-146
In base 6, what is -4 - 2435?
-2443
In base 4, what is -121123 + -10?
-121133
In base 7, what is 316301 + 3?
316304
In base 4, what is -2032 - 1?
-2033
In base 5, what is 0 - 133230?
-133230
In base 6, what is 124432 - -3?
124435
In base 14, what is -d + -54?
-63
In base 11, what is -5 + -346?
-350
In base 4, what is 1 + -22233?
-22232
In base 9, what is -15 - 3?
-18
In base 15, what is 2a + 5?
30
In base 4, what is -110033 + 1?
-110032
In base 16, what is -5 + -41?
-46
In base 2, what is -101 + -10110001?
-10110110
In base 12, what is 1 + -21a?
-219
In base 5, what is -2 + 122?
120
In base 11, what is 101 - -3?
104
In base 9, what is -5477 + 2?
-5475
In base 5, what is 23 - -1112?
1140
In base 10, what is 2 - -87?
89
In base 2, what is 1000100 - 11111?
100101
In base 2, what is -11 - 101?
-1000
In base 6, what is 2 + -5020?
-5014
In base 11, what is -5 + -34a?
-354
In base 6, what is 0 - 323?
-323
In base 10, what is -4753 + -5?
-4758
In base 10, what is 137 + 2?
139
In base 4, what is 0 + -1322?
-1322
In base 10, what is 3475 - 3?
3472
In base 4, what is 0 + -2232?
-2232
In base 14, what is 3 - 17?
-14
In base 13, what is 55 + 11c?
174
In base 3, what is -10 - -222?
212
In base 9, what is 208 + -48?
150
In base 13, what is 1 - -202?
203
In base 11, what is 2 + -70?
-69
In base 13, what is 4 + 1?
5
In base 16, what is 6 - -c?
12
In base 6, what is 10 - 11?
-1
In base 15, what is 25 + 3d?
63
In base 5, what is 142 + 42?
234
In base 11, what is -4 - 64?
-68
In base 8, what is -5 - 70?
-75
In base 12, what is -1 - 14b?
-150
In base 6, what is 1152 - 1?
1151
In base 7, what is 2506 + 0?
2506
In base 8, what is -65714 + -1?
-65715
In base 16, what is -1a5b + 4?
-1a57
In base 11, what is 79 - a?
6a
In base 2, what is 1110111100 + 1001?
1111000101
In base 8, what is -3 - 1271?
-1274
In base 12, what is -9 - -41b?
412
In base 2, what is 11 + 1111011101?
1111100000
In base 8, what is 2 - 3746?
-3744
In base 6, what is -2542 + -2?
-2544
In base 8, what is -61 + 2?
-57
In base 13, what is -4 - -22?
1b
In base 14, what is 7 - -b5?
bc
In base 4, what is 1 - 3103?
-3102
In base 10, what is 4 + -83?
-79
In base 3, what is 1 - -10012?
10020
In base 15, what is 86e8 - 0?
86e8
In base 13, what is 1191 - -3?
1194
In base 15, what is 5 + -28?
-23
In base 12, what is -4 - -61b?
617
In base 13, what is -14b - a?
-158
In base 8, what is -5 + -55?
-62
In base 11, what is 79 - 5?
74
In base 12, what is -2 - 169?
-16b
In base 9, what is 80 + -32?
47
In base 13, what is 8 - 62?
-57
In base 8, what is 126 + 51?
177
In base 10, what is 5 - 11?
-6
In base 12, what is -6 - -319?
313
In base 5, what is 0 - 4320?
-4320
In base 14, what is 5 + 14b6?
14bb
In base 12, what is 2 + -99?
-97
In base 2, what is 111 + -101010?
-100011
In base 12, what is a + -1?
9
In base 2, what is 11000101100111 - 100?
11000101100011
In base 7, what is -1 + -4604?
-4605
In base 15, what is -e + 8?
-6
In base 3, what is -101220 + 2?
-101211
In base 8, what is 207 - 1?
206
In base 16, what is 17 + -25?
-e
In base 4, what is -231 + 3?
-222
In base 3, what is 1111 + -10?
1101
In base 10, what is 106 - -38?
144
In base 8, what is -24 + 2?
-22
In base 5, what is -113311 - 4?
-113320
In base 16, what is -7bc - -3 | {
"pile_set_name": "DM Mathematics"
} |
+ n for m.
2
Let b(h) = -h**2 + 642*h - 49188. Let u be b(89). Let q be (-2)/(-9) + (-196)/(-9). Solve 0 = u*w - 18*w - q for w.
2
Let t(x) = -17*x**3 + 2*x**2 - 1. Let i be t(-1). Suppose 5 = 15*m - 40. Suppose -m*w + 16 = h, -5*h - w = -48 - i. Solve -h = 3*z - 4 for z.
-3
Suppose 11*x - 2*a = 5*x + 710, 4*a = -28. Solve 0 = -31*k + x + 8 for k.
4
Let u = 14 - 9. Let q(x) = -80*x - 639. Let n be q(-8). Solve n = u*o + 11 for o.
-2
Let g(m) = 6*m**2 - m - 5. Let i be g(-3). Let r be i/20 - 3 - 228/(-20). Solve r*t + 16 = 7*t for t.
-4
Suppose -8 = -h + 4*o, -4*h - 9 = -4*o - 17. Let j be ((h - -2)*-3)/(2 - 4). Solve 3 = 4*i + j for i.
0
Suppose 0 = -5*m + 9*c - 10*c + 316, 2*m + 4*c = 112. Suppose -5*a = -4*i - 314, -i + 2*i + 1 = 0. Let y = m - a. Solve s + 6 - y = 0 for s.
-4
Suppose -3*v + 3 = -6. Let l = 241 - 236. Suppose -2*k = -8, l*n - 12 = 21*k - 19*k. Solve 0 = n*h + 17 + v for h.
-5
Suppose 2*q - 8 = -2*q. Let x(f) be the second derivative of 43*f**3/6 + 129*f**2 - 363*f. Let s be x(-6). Solve s = -q*n - n - 6 for n.
-2
Suppose -300*j = -211*j. Solve j = 2*a + 21*a - 69 for a.
3
Let x be 0/((2 - 2) + 1). Suppose 67*l = 48*l + 190. Suppose 3*j + 14*c + 4 = l*c, 0 = 2*j + 3*c + 4. Solve x = -i + 2*i + j for i.
-4
Suppose -5*z + 15 = -5. Suppose z*p = -5*k - 128, 0 = -3*k + 5*k - 2*p + 62. Let n = k + 31. Solve -n*c = c for c.
0
Let t(z) = z**3 - 17*z**2 - 18*z. Let p be t(18). Suppose p = 12*b - 0*b - 60. Solve b*y - 12 = y for y.
3
Let u(m) = -m**2 + 5*m + 8. Let t be u(6). Suppose -14 = -t*c - 5*l, 0*l = -2*c + l + 26. Suppose -r = 3*r + 2*v - 14, c = 4*r + 4*v. Solve p + 6 = r*p for p.
2
Suppose 5*v - 24 = l, -3*v = -v + 4*l + 8. Suppose -20 = 18*n + 2*n. Let w be n/((4 - 8)/12). Solve h = -v + w for h.
-1
Let f be 5 - (-1)/(-2)*56. Let u = -6 - f. Suppose -l - 12 + u = 0. Solve 5 = -5*p - l for p.
-2
Suppose 915 = 126*g - 106*g - 1105. Solve -61*j - g + 406 = 0 for j.
5
Let c be (18938/510 - 37) + (-2156)/(-30). Solve 6*l - 96 = -c for l.
4
Suppose 87 = -j + 4*j. Let h be (-11 + 81)*(-3)/(-15). Solve -3*k - j = -h for k.
-5
Suppose 4*z - 196 = -a, 44 = 2*z - a - 60. Solve 33 = 61*p - z*p for p.
3
Suppose -5*i + 2*g + 438 = -4*i, -i = -g - 440. Let x = i - 439. Solve -x*m - 14 = -5 for m.
-3
Let j(m) = -978*m + 8823. Let v be j(9). Solve v*a = -143 - 25 for a.
-8
Suppose 1859 = 12*a - a. Let p = 172 - a. Solve -2*k + 5 = -p*k for k.
-5
Let z be 63/21 - ((-2)/(-1) - -149). Let b be 6 - z/(-24) - 26/(-12). Solve -r = b - 0 for r.
-2
Let c be 507/15 + ((-208)/(-40) - 6). Solve -c*y + 8 = 8 for y.
0
Let x(k) be the third derivative of k**4/3 + 142*k**3/3 - 245*k**2. Let c be x(-35). Solve 0 = -0*o - c*o for o.
0
Suppose 4*b - 794 = -u, -4*b = -100*u + 104*u - 776. Solve 0 = 23*m - 73*m + b for m.
4
Suppose 27*m - 35*m = -160. Let v(f) be the second derivative of -f**5/10 - f**4/6 + f**3/6 - f**2/2 - 3*f. Let d be v(-2). Solve d*p = -0*p - m for p.
-4
Let u = 1 - 1. Suppose u = x + x - 4. Suppose -9*n - 5 = 5*t, -11*t = -4*n - 12*t - 1. Solve n = -x*k + 7*k for k.
0
Let m = -16280 + 20047. Solve 0 = -12*f + 3707 - m for f.
-5
Let s(h) = -58*h + 527. Let p be s(9). Solve 0 = -8*l + 21 - p for l.
2
Let l = 2419 + -2142. Solve 283*c - 24 = l*c for c.
4
Suppose 16 = 3*x + 3*y + 13, 4*x - 40 = 5*y. Solve 2*p - x*p = -15 for p.
5
Let u be (-26)/195 - -13*3/(-45). Let r be (0 + u + 1)/((-25)/5). Solve r = -0*i + i + 3 for i.
-3
Suppose 234 = -2*k - 3*o, 0 = -8*o + 3*o - 10. Let w = 175 + k. Solve w = -4*n + 41 for n.
-5
Suppose 36*t + 177*t = 0. Solve 7*i + 42 - 14 = t for i.
-4
Let o be 6 + (6/(-1) - -3). Let r = -3 + 3. Let u(v) = 2*v**3 + 9*v**2 - 19*v - 4. Let y be u(-6). Solve -y*z - o + 9 = r for z.
3
Let i(f) = 6*f - 28. Let n be i(5). Suppose 3*y - 4*b + 20 = 7*y, 3*y - 13 = -n*b. Solve 0 = 3*g - 12 - y for g.
5
Suppose -2*i - 3*i - 9 = 3*b, -2*b + 5*i = -19. Suppose -b*f + 11*z + 20 = 10*z, -8 = 4*z. Solve 5 = -4*u + f*u for u.
1
Let c(n) = 2*n**2 - 5*n + 7. Let b be c(3). Suppose 18*q - b*q = 24. Solve -2*v + 7 = q for v.
2
Let m(d) be the second derivative of 13*d**4/6 - 155*d**3/6 - d**2 + 30*d. Let k be m(6). Solve 9 = k*i - 11 for i.
5
Suppose -10*o + 847 = o. Let f = o + -73. Suppose 4*x + 1 = -3*j, 0 = f*j - 2*x + 3*x - 16. Solve 8*h + j = 3*h for h.
-1
Suppose 0 = 281*o - 274*o - 126. Solve -20*s + o*s + 8 = 0 for s.
4
Let z(r) = 8*r + 59. Let n be z(-9). Let y = n + 17. Suppose 0 = -y*b + 5 + 23. Solve b + 2 = -3*l for l.
-3
Suppose 9*s = 10*s - 18. Let v be (s + -2 + 4 + -5)/3. Solve -10*j = -v*j for j.
0
Let h = 183 - 180. Suppose -21*m + h*m = -36. Solve 0 = -m*t + 3*t - 1 for t.
1
Let s be -8 + -7 + (-59)/(-1). Solve -4*p = 7*p - s for p.
4
Let k(v) = 17*v**3 - 2*v**2 - 34*v + 74. Let q be k(2). Solve -16*m - 54 + q = 0 for m.
5
Let m be (11/((-66)/39))/((-3)/6). Let l = 48 + -37. Solve -l*i - 4 = -m*i for i.
2
Let b be -12*(-2 - (-10)/4). Let t(j) = j - 4 + 20 + 6 + 2*j. Let k be t(b). Solve -p + k = p for p.
2
Let n = -43 - -45. Suppose -n*z + 73 = 3*m - 69, 5*m + 10 = 0. Let t = 85 - z. Solve 0 = -t*x + 14*x + 6 for x.
-2
Let r be (-3192)/(-684) - (2 - (-14)/(-6)). Let m be (4 - 16/4)/2. Solve m = -4*t + 3 + r for t.
2
Let l(a) = 2*a**3 - 9*a**2 - 4*a - 15. Let s be l(5). Let u be 7 + s/(6 - 4). Solve -u*p = -3*p + 5 for p.
5
Let v(t) = -t**3 + 16*t**2 + 3*t - 44. Let d be v(16). Let g(c) = 32*c + 738. Let j be g(-23). Solve h = j*h - d for h.
4
Let v(d) = -d**3 + 12*d**2 - 16*d + 135. Let h be v(11). Let j be (8/3)/(8/228). Let x = h - j. Solve p + x = -1 for p.
-5
Suppose 4*n + 5 = -5*w, -w - n + 3 = -4*w. Let p(d) = -53*d + 4. Let v be p(w). Suppose -5*j + v = -2*j. Solve 1 = -4*c - j for c.
-5
Suppose -110*m + 50*m = 371*m - 42238. Solve -m = -18*c - 62 for c.
2
Suppose -3303 + 263 = -38*j. Suppose -3*s + 49 = 3*b - 2*b, -5*s + j = 2*b. Solve -s*l + 10*l + 32 = 0 for l.
4
Suppose -590*k = -616*k + 104. Solve k = -50*b - 46 for b.
-1
Suppose 0 = -254*p + 14*p + 2160. Solve -p*h = 2*h + 55 for h.
-5
Suppose 0 = 3*j + 4*s - 15, -2*j - 3 = 4*s - 9. Suppose j = -k - 3*t, 5*k + 6 = -4*t - 6. Solve -2*o + 4*o - 10 = k for o.
5
Suppose 0 = -6*y + 7*y - 174. Let z be (-28)/(-10) + (y/(-30) - -6). Suppose -16*x + 18*x - z*a = 17, a - 13 = -4*x. Solve l = -x*l + 5 for l.
1
Suppose 3*d - k = 6, -6 = -5*d + 4*k + 4. Suppose -i - 5*i + 12 = 0. Suppose l + 6 = -4*c - 4, 5*c = -i*l - 8. Solve -l = d*q + q for q.
-2
Let g(d) be the third derivative of -d**4/12 - 4*d**3 - 37*d**2. Let b be g(-14). Solve z - 9 = -b for z.
5
Let n be 3957*(-1)/(-18) - (-10)/(-12). Suppose 44*u - n - 45 = 0. Solve -u*z + 16 + 2 = 0 for z.
3
Let o be 4 - ((-75)/12)/(1/8). Suppose 126 = 60*g - o*g. Solve g = 6*t + 3 for t.
3
Let g = 8926 - 8905. Suppose -2*j - 3*r + 22 = 0, 4*j + 10 = -r + 34. Solve 4*k = -g + j for k.
-4
Let c be ((-18)/24)/((-15)/6940). Let t = c + -342. Solve 0 = -t*b - 0*b + 20 for b.
4
Suppose -23 = -3*a - 3*t - 8, 0 = -2*a + 4*t + 28. Solve a*s = 5*s for s.
0
Let f = -59 - -71. Suppose f*t = 48 + 24. Solve -2*c + 2 + t = 0 for c.
4
Suppose -s - 11 = 5*o - 7, -5*s = 3*o + 20. Let y be (6 + -16)/(s/10). Solve 0 = r + 4*r - y for r.
5
Let w(l) = l**2 - 3*l - 4. Let n be w(4). Suppose -237*d + 238*d - 2*q - 6 = 0, -5*d - 4*q = -2. Solve -6 = -n*j + d*j for j.
-3
Let l be ((-46)/(-6))/((-37)/(-257 + 35)). Solve l*x + 32 = 38*x for x.
-4
Suppose 149*m - 778 = -240*m + 1167. Suppose 4*y = -11 + 35. Solve m*o - y*o = 0 for o.
0
Let v(i) = -5*i + 162. Let o(p) = 5*p - 163. Let l(j) = 3*o(j) + 4*v(j). Let m be l(19). Solve -2*a - m = 14*a for a.
-4
Let y(m) = 5*m**2 - 8*m + 7. Let z be y(1). Suppose -14 + 6 = 2*x + 4*u, 0 = z*x + 4*u + 4. Solve x*o = -o + 15 for o.
5
Let l(a) = a**3 + 3*a**2 + a. Let o(g) = 34*g**3 + 1. Let v be o(-1). Let b be v/(-22) - 3/2. Let m be l(b). Solve -15 = -m*t + 3*t for t.
-5
Let k = 36 + -42. Let b = 9 + k. Suppose b*f + r - 18 = 0, 4*f = 5*r - 0 + 5. Solve -f = 2*v + 3 for v.
-4
Let n(i) = 10*i**2 + 74*i - 33. Let g be n(-8). Suppose 0 = -3*b + b - 54. Let o be (2/(-3))/(9/b). Solve 5*p - g = o*p for p.
5
Suppose -5832 + 1829 - 5007 = -53*d. Solve -10*j - 230 = -d for j.
-6
Let k be 6/10 - 1185/(-25). Let a be (2 - (k/9 + -1))*-3. Solve a = z + 4 for z.
3
Let c be 17/(1292/3336) - (-2 + (-144)/(-76)). S | {
"pile_set_name": "DM Mathematics"
} |
349. Calculate n(6).
-2059
Let y(m) = -805*m - 15541. What is y(-19)?
-246
Let a(q) = 8962*q - 483916. What is a(54)?
32
Let q(g) = 320*g + 20439. Calculate q(-64).
-41
Let g(q) = 4174*q - 20875. Calculate g(5).
-5
Let p(k) = -3*k**2 + 82*k + 121. What is p(16)?
665
Let r(h) = 67*h**2 + 362*h - 56. What is r(-6)?
184
Let u(k) = 89*k + 2750. Give u(-27).
347
Let p(v) = -16*v**3 + v**2 - 201*v - 638. Calculate p(-3).
406
Let s(w) = -3*w**3 + 139*w**2 - 843*w - 63. Calculate s(39).
522
Let r(i) = -566*i - 1982. What is r(-3)?
-284
Let h(z) = -8359*z - 108706. What is h(-13)?
-39
Let j(h) = -7*h**2 + 97325*h + 1949302. What is j(-20)?
2
Let k(f) = 8*f**2 - 160*f + 100. Give k(19).
-52
Let u(f) = 334*f + 36411. What is u(-109)?
5
Let v(p) = 594*p**2 + 131*p - 132. Calculate v(1).
593
Let u(q) = -3*q**3 + 121*q**2 - 802*q + 29. Calculate u(32).
-35
Let k(f) = f**3 + 213*f**2 - 1536*f - 227. Determine k(-220).
-1107
Let w(f) = f**3 + 19*f**2 - 660*f + 1782. What is w(3)?
0
Let s(i) = 19002*i + 1026121. Determine s(-54).
13
Let z(q) = -1366*q - 75. Determine z(0).
-75
Let l(t) = -2*t**2 - 431319*t + 2587990. Calculate l(6).
4
Let x(k) = 697*k - 284354. Give x(408).
22
Let l(z) = 312*z**3 - 2803*z**2 - 30*z - 130. What is l(9)?
5
Let p(q) = 8*q**3 + 43*q**2 - 19*q + 59. Give p(-6).
-7
Let a(g) = 20*g**2 - 56*g - 799. Give a(8).
33
Let c(t) = 3036*t + 15190. Give c(-5).
10
Let g(a) = -88*a**3 - 526*a**2 + 25*a + 90. What is g(-6)?
12
Let n(u) = -98*u**3 - 13*u**2 - 25*u - 14. Determine n(-2).
768
Let c(f) = 189*f + 7016. What is c(-40)?
-544
Let y(x) = 10476*x - 230519. Determine y(22).
-47
Let i(b) = -62218*b + 23. Determine i(0).
23
Let u(t) = 2237*t - 1912638. Calculate u(855).
-3
Let u(l) = 22*l**2 + 2899*l + 2654. Calculate u(-131).
427
Let c(m) = -5*m**2 - 128*m - 1724. Give c(-17).
-993
Let q(h) = 8*h**2 - 1727*h - 19942. Determine q(-11).
23
Let k(c) = -111*c**2 - 293*c - 294. Determine k(-2).
-152
Let a(j) = 712*j**2 + 49*j + 47. Determine a(-1).
710
Let d(g) = 2*g**2 - 499*g - 719. Give d(251).
34
Let a(u) = -772*u + 4752. Determine a(6).
120
Let m(u) = -916*u - 18525. Determine m(-17).
-2953
Let o(q) = q**2 + 9099*q - 118471. Give o(13).
-15
Let s(c) = -c**3 - 65*c**2 - 156*c - 1187. Calculate s(-63).
703
Let g(n) = -n**2 - 56*n - 442. Give g(-47).
-19
Let g(p) = -2*p**2 - 198*p - 1828. What is g(-89)?
-48
Let p(m) = -5*m**2 + 210*m + 3193. Determine p(54).
-47
Let i(s) = -47525*s. Give i(0).
0
Let p(n) = -35661*n + 71647. Calculate p(2).
325
Let y(m) = 2187*m - 63178. Determine y(29).
245
Let o(m) = m**3 + 28*m**2 + 212*m + 1752. Determine o(-22).
-8
Let m(p) = -14*p**3 + p**2 - 17*p - 14. Determine m(-4).
966
Let p(u) = 7*u**3 + 2419*u**2 + 1379*u - 366. Calculate p(-345).
-21
Let b(j) = 3627*j + 137189. Calculate b(-38).
-637
Let f(o) = -401*o + 41215. What is f(103)?
-88
Let y(r) = r**2 + 154*r - 53712. Give y(167).
-105
Let q(w) = 542551*w - 16276524. What is q(30)?
6
Let i(b) = -1050*b - 947096. Give i(-902).
4
Let h(g) = g**3 + 104*g**2 + 69*g + 7370. What is h(-104)?
194
Let d(w) = -930*w - 49312. Give d(-53).
-22
Let s(q) = -3*q**3 - 156*q**2 - 1724*q + 77. Calculate s(-20).
-3843
Let m(g) = 33*g**2 - 2489*g - 19016. What is m(-7)?
24
Let n(x) = x**2 - 95498*x - 2005892. What is n(-21)?
7
Let g(s) = -204*s + 45245. Calculate g(221).
161
Let q(w) = w**3 - 128*w**2 + 261*w - 3333. What is q(126)?
-2199
Let p(l) = l**3 + 80*l**2 + 398*l + 435. Calculate p(-4).
59
Let b(i) = 2*i**3 - 4*i**2 - 2099*i + 10502. Calculate b(5).
157
Let x(k) = 32*k**2 - 298*k - 609. Calculate x(11).
-15
Let n(h) = -17*h**3 + 93*h**2 - 68*h - 17. Give n(1).
-9
Let o(a) = -5*a**2 + 424*a + 6973. Determine o(-14).
57
Let z(w) = -63097*w + 252406. Calculate z(4).
18
Let o(a) = 7*a**2 + 37*a - 524. What is o(-12)?
40
Let j(h) = 2*h**3 + 595*h**2 + 21656*h - 4841. Calculate j(-255).
4
Let w(s) = 2*s**3 - 26*s**2 - 181*s + 2193. What is w(13)?
-160
Let x(r) = -119195*r - 953557. Calculate x(-8).
3
Let y(q) = -33*q**2 + 3104*q - 41. Give y(94).
147
Let r(w) = -41*w**2 + 197*w - 35. What is r(5)?
-75
Let v(z) = z**3 + 383*z**2 + 6240*z + 6583. Give v(-366).
-5
Let n(d) = -3*d**2 - 13*d - 185. Determine n(-14).
-591
Let u(h) = 2*h**3 - 75*h**2 + 197*h - 5688. Determine u(37).
232
Let s(f) = -f**3 - 16*f**2 - 54*f - 69. Determine s(-10).
-129
Let j(u) = 44*u**3 - 2*u**2 + 54185*u + 54186. Give j(-1).
-45
Let i(j) = -19*j**3 + 77*j**2 - 87*j + 322. Give i(4).
-10
Let q(i) = 86451*i - 864511. Determine q(10).
-1
Let b(c) = 31291*c + 1533265. Calculate b(-49).
6
Let g(c) = -2*c**3 + 520*c**2 - 2056*c - 4. What is g(4)?
-36
Let v(x) = -x**3 + 79*x**2 + 788*x - 238. Give v(88).
-590
Let p(m) = -13*m**3 + 821*m**2 - 135*m + 372. What is p(63)?
-195
Let p(a) = -3*a**3 - 89*a**2 + 87*a - 1166. Calculate p(-31).
-19
Let t(c) = -9486*c - 125649. Give t(-13).
-2331
Let i(w) = -563959*w - 6767436. Calculate i(-12).
72
Let c(m) = -4328*m**2 + 30291*m + 22. Determine c(7).
-13
Let k(g) = -30*g**2 + 47*g - 210. Calculate k(5).
-725
Let c(u) = 1655*u + 146446. Determine c(-86).
4116
Let p(x) = 2162450*x - 4324902. Give p(2).
-2
Let a(s) = -113*s**2 - 21838*s - 5352. What is a(-193)?
245
Let l(c) = -c**2 + 1023*c + 216537. Determine l(-180).
-3
Let b(i) = -28*i**3 + 2099*i**2 + 27*i + 3516. What is b(75)?
-84
Let m(l) = 4*l**2 - 226*l - 83. Calculate m(0).
-83
Let b(s) = -400*s - 96535. Give b(-244).
1065
Let n(l) = -2973*l - 205127. Calculate n(-69).
10
Let b(k) = 5*k**2 + 222*k - 858. Determine b(-48).
6
Let q(k) = k**3 - 743*k**2 + 47110*k - 832. Calculate q(673).
-832
Let g(c) = 3283*c + 12. Determine g(0).
12
Let h(i) = -2*i**2 + 131*i - 236. Give h(63).
79
Let w(f) = f**3 + 141*f**2 - 439*f - 1328. Determine w(-144).
-320
Let g(r) = -2*r**3 + 1523*r**2 - 43187*r - 634. Calculate g(732).
98
Let u(v) = 40316*v + 362695. What is u(-9)?
-149
Let d(u) = u**3 + 12*u**2 + 76*u + 317. Determine d(-8).
-35
Let j(g) = -15*g**2 + 49664*g - 396363. Determine j(8).
-11
Let t(b) = 10*b**2 - 5382*b - 16152. Give t(-3).
84
Let r(c) = 732008*c - 14640165. Determine r(20).
-5
Let r(w) = w**2 - 208*w - 16275. What is r(-60)?
-195
Let i(b) = 2168*b + 184258. Give i(-85).
-22
Let i(j) = 3*j**2 + 461*j - 13313. Calculate i(-175).
-2113
Let p(n) = -n**3 - 126*n**2 - 79*n - 10076. What is p(-126)?
-122
Let o(a) = 9650*a - 67476. Calculate o(7).
74
Let w(o) = -o**2 + 1721*o + 13857. Calculate w(-8).
25
Let m(r) = r**2 + 15468*r - 30956. Calculate m(2).
-16
Let f(t) = -19*t**3 - 26*t**2 + 103*t - 6. What is f(-5)?
1204
Let r(c) = 20*c**2 - 41255*c + 776624. Determine r(19).
-1
Let t(r) = 443*r - 1796. Give t(8).
1748
Let j(h) = 166*h**3 - 5147*h**2 + 32*h - 49. Determine j(31).
-18
Let f(u) = -u**3 - 44*u**2 + 2464*u + 108142. Give f(-50).
-58
Let m(x) = 527*x - 17572. Give m(31).
-1235
Let t(w) = 4*w**3 + 8175*w**2 - 167187*w - 6186. Determine t(-2064).
6
Let p(t) = -387*t**2 - 272*t + 727. Determine p(3).
-3572
Let j(w) = w**3 - 41*w**2 - 175*w - 3111. Calculate j(45).
-2886
Let h(f) = -4*f**2 - 11230*f - 300281. What is h(-27)?
13
Let v(j) = -j**3 + 10*j**2 - 349*j + 3970. Give v(11).
10
Let y(f) = -f**2 - 1046*f - 91224. Give y(-96).
-24
Let p(w) = 1240*w**2 - 3716*w - 36. Determine p(3).
-24
Let v(x) = 19140*x + 8345011. Calculate v(-436).
-29
Let n(r) = r**3 - 11*r**2 - 35*r - 10725. What is n(27)?
-6
Let r(c) = -124*c**2 - 3539*c - 3402. Calculate r(-1).
13
Let i(c) = -355*c + 23679. Calculate i(66).
249
Let l(v) = v**3 - 33*v**2 - 133*v + 152. Calculate l(41).
8147
Let j(h) = -3*h**2 - 212*h - 3690. What is j(-40)?
-10
Let q(w) = 39998*w - 480005. Calculate q(12).
-29
Let b(o) = 223*o**2 + 11963*o - 4259. Calculate b(-54).
7
Let z(q) = -2*q**2 - 689*q - 19679. Calculate z(-313).
40
Let o(b) = -2*b**2 - 111*b + 905. Determine o(-74).
-1833
Let q(d) = -11158*d + 4887211. Determine q(438).
7
Let o(l) = -171*l - 38657. Give o(-255).
4948
Let m(u) = -19033*u + 1408361. Give m(74).
-81
Let r(s) = 17003*s + 84994. Give r(-5).
-21
Let o(u) = -u**3 - 54*u**2 + 5050*u + 357. Give o(-103).
48
Let j(q) = -18*q**3 - 31*q**2 + 26*q. Calculate j(-3).
129
Let m(u) = u**2 - 358*u + 17135. What is m(299)?
-506
Let w(m) = -52119*m - 1615670. Determine w(-31).
19
Let h(f) = 6*f**3 + 28*f**2 + 22*f + 128. What is | {
"pile_set_name": "DM Mathematics"
} |
(d) = 3528*d - 3870. Let n(y) = 34*y + 45*y + 28*y - 35*y - 79. Let i(o) = 2*h(o) - 99*n(o). Find the first derivative of i(x) wrt x.
-72
Let k = 4901 - 4892. Let x be ((-12)/(-2 + -1))/2. Find the second derivative of -k*b**x + 40*b**2 + b - 29 + 23*b**2 - 3*b wrt b.
108
Let f(s) be the third derivative of 4007*s**5/60 - 146*s**4/3 - 5586*s**2. What is the second derivative of f(c) wrt c?
8014
Let n(j) = -8*j**4 - j**3 - j - 1. Let u(r) = 17*r**4 - 5*r**3 - 416*r - 6. Let v(x) = -6*n(x) + u(x). What is the second derivative of v(w) wrt w?
780*w**2 + 6*w
What is the first derivative of -293 + 10952*a**3 - 469 - 232 + 18*a - 18*a wrt a?
32856*a**2
Let i(p) be the third derivative of 145*p**8/336 + p**6/120 - p**4/8 + 35*p**3/3 + 20*p**2 + 8. Find the second derivative of i(m) wrt m.
2900*m**3 + 6*m
Let p = -176 - -179. What is the third derivative of m**2 - 19*m**p - 10*m**3 + 0 + 1 - 2*m**5 - 59 wrt m?
-120*m**2 - 174
Let j(y) be the first derivative of 179*y**5/5 + y**4/4 - 1528*y**3/3 - 1616. What is the third derivative of j(v) wrt v?
4296*v + 6
Let z(q) = -q**2 + q + 1. Let j(g) = -6*g**4 + 5*g**3 + 1447*g**2 - 5*g - 5. Let m(d) = -j(d) - 5*z(d). Find the third derivative of m(f) wrt f.
144*f - 30
Suppose 0 = 2*a + 2. Let d be 3 - -3 - (-1 - 0)*a. Find the second derivative of -u**3 + 34*u - 53*u + u**3 + u**d wrt u.
20*u**3
Let s(j) = -52*j**2 - 11*j - 821. Let u(n) = -261*n**2 - 56*n - 4105. Let d(o) = 11*s(o) - 2*u(o). Differentiate d(i) with respect to i.
-100*i - 9
Let z(x) = 9*x**2 + 54*x + 6. Let k be z(-7). What is the second derivative of -5*w**5 - 81*w - 110*w + 37*w + k*w**5 wrt w?
1280*w**3
Let r(f) be the second derivative of -22*f**2 + 0*f**3 + 0 + 5/4*f**4 + 40*f. What is the first derivative of r(o) wrt o?
30*o
Let n(v) be the first derivative of 2078*v**5/5 + v**2/2 + 1446*v - 1781. Find the second derivative of n(g) wrt g.
24936*g**2
What is the first derivative of 11*g**3 - 64*g**4 + 66*g**4 - 7471*g + 7511*g - 3552 wrt g?
8*g**3 + 33*g**2 + 40
Let o(s) be the first derivative of 239*s**5/5 - 7*s**4/4 + s**3 - 1781*s - 1086. What is the third derivative of o(k) wrt k?
5736*k - 42
Find the third derivative of -3*x**5 + 3*x**5 - 91 - 10*x**2 + 247184*x**6 - 246405*x**6 wrt x.
93480*x**3
Let s(b) = 1678*b**2 + 2*b + 3728. Let r(v) = 10069*v**2 + 13*v + 22363. Let m(c) = -2*r(c) + 13*s(c). Differentiate m(o) wrt o.
3352*o
Let v(h) = 89*h**3 - 13*h**2 + 9*h + 178. Let m = 474 + -480. Let r(p) = -44*p**3 + 6*p**2 - 4*p - 87. Let a(o) = m*v(o) - 13*r(o). Differentiate a(i) wrt i.
114*i**2 - 2
Suppose -30 = -5*l - 5*q, -3*q = -5*l - 5*q + 21. Find the second derivative of -29*a + 12*a - a**2 - l - 20*a**3 + 83*a**3 + 10*a + 9*a wrt a.
378*a - 2
Differentiate 1566 - 714*a**2 - 8385 + 1094 + 2305 + 1943 with respect to a.
-1428*a
Let m(w) be the first derivative of w**5/4 + 40*w**3/3 + 261*w + 286. Let k(y) be the first derivative of m(y). What is the second derivative of k(o) wrt o?
30*o
Let p = 79 + -77. Differentiate -346*f**p - 23 - 32 + 283*f**2 wrt f.
-126*f
Let r(j) = -j**2 - 4*j + 2. Let o be r(-4). Suppose 8 = -o*s, -3*s + 988 = p + p. Differentiate -949 - 33*u**4 + p + 476 with respect to u.
-132*u**3
Let j(x) = x**3 - 10*x**2 - 12*x + 15. Let y be j(12). Differentiate 80 + 68 + y*c - 256 with respect to c.
159
What is the derivative of 755*k**4 + 551 + 192 + 578*k**4 + 119 wrt k?
5332*k**3
Let x(r) be the third derivative of 732*r**7/35 + 63*r**4/2 + 4906*r**2. What is the second derivative of x(t) wrt t?
52704*t**2
Find the second derivative of -6*t**2 + 854*t**4 + 4217*t + 7*t**2 - 930*t wrt t.
10248*t**2 + 2
Let l(u) be the second derivative of 7*u**5/10 + 7*u**4/12 + u**3/2 + 931*u**2/2 + 3674*u - 1. Find the first derivative of l(c) wrt c.
42*c**2 + 14*c + 3
Let v(u) be the third derivative of -727*u**8/336 + 457*u**5/30 - 9*u**2 + 23*u. What is the third derivative of v(x) wrt x?
-43620*x**2
Let n be 65/75 - 1 - (-94)/30. Find the third derivative of -3*j**4 - 233*j**3 + 7*j**2 - 46*j**2 + 244*j**n wrt j.
-72*j + 66
Find the third derivative of -20*g**6 - g**3 - 96*g**6 + 56*g + 103*g**2 - 33*g**6 - 105*g**2 wrt g.
-17880*g**3 - 6
Let n(d) = -736*d**2 + 3*d + 26. Let c(w) = 2205*w**2 - 8*w - 79. Let g(f) = -3*c(f) - 8*n(f). Differentiate g(t) with respect to t.
-1454*t
Find the second derivative of 6907*b + 6936*b - 2 + 1282*b**3 - 13807*b wrt b.
7692*b
Let q(r) = 249*r**2 - 153*r - 1. Let s(z) = 166*z**2 - 102*z - 1. Let c = -314 - -309. Let w(g) = c*q(g) + 7*s(g). What is the second derivative of w(p) wrt p?
-166
Let h(a) be the second derivative of -91/6*a**3 - 5*a - 77/20*a**5 + 0*a**4 + 0*a**2 + 0. Find the second derivative of h(v) wrt v.
-462*v
Let v(b) = 2*b**3 + 17*b**2 - 7*b + 20. Let k be v(-9). What is the first derivative of 5*s**2 + 5*s**k - 78 + 19*s**2 - 6*s**2 wrt s?
46*s
Let x(t) = 431*t + 355. Suppose 10*a + 60 = 22*a. Let o(j) = 216*j + 177. Let h(n) = a*o(n) - 2*x(n). Differentiate h(c) with respect to c.
218
Find the second derivative of -1 + 940*p**2 + 1030*p**2 - 140*p - 177*p - 17*p**2 - 171*p wrt p.
3906
What is the derivative of -544635 + 270828 - 10740*z + 271101 wrt z?
-10740
What is the derivative of 849 - 2772*q**2 + 145 + 173 + 16 wrt q?
-5544*q
Let h(p) = p + 26. Suppose -5*d - 25 = 5*g, 3*g - 10 = 3*d - d. Let v be h(d). Find the third derivative of 10*i**5 - 8*i**2 - 6*i**2 + v*i**5 wrt i.
1860*i**2
Let t = 52 + -46. Suppose 0 = -t*a + 4*a + 10. Find the third derivative of 13*p**2 + 10*p**a + 7*p**2 + 16*p**2 - 23*p**2 wrt p.
600*p**2
What is the third derivative of -315*c**6 - 13 - c**5 + 9*c**2 + 53 - 12*c**2 - 3*c**2 wrt c?
-37800*c**3 - 60*c**2
Let a = 18 + -11. Suppose 0 = 2*b + a*b - 2520. What is the third derivative of b*c**5 + 0*c**4 + 0*c**4 - 27*c**2 - 287*c**5 wrt c?
-420*c**2
Let v be 266 - (1 - -4*2/(-4)). Let h = v + 544. What is the third derivative of -33*n**5 - 807*n**2 + h*n**2 - 8*n**5 wrt n?
-2460*n**2
Let n(q) = -q**4 + q**3 + q**2 - 3. Let k(d) = 169*d**4 - 6*d**3 - 4*d**2 - 1278. Let z(c) = -k(c) - 4*n(c). Differentiate z(x) with respect to x.
-660*x**3 + 6*x**2
Suppose -2*g - 52 = 4*w - 6*g, 2*g + 72 = -5*w. Let a be (-4)/w + 8/(448/1160). Find the second derivative of -a*d**5 + 44*d**5 - 6*d**5 + 17*d wrt d.
340*d**3
Suppose 2*c = -5*x + 480, -3*c + 0*c = 5*x - 485. What is the second derivative of -30 + 61*a**2 - 2*a**3 + x*a + 58 - 28 + 29*a wrt a?
-12*a + 122
Let h(b) = -b**2 - 5*b. Let o(p) = -28*p**2 + 14*p - 2588. Let l(u) = -6*h(u) - o(u). Find the first derivative of l(y) wrt y.
68*y + 16
Let t(s) = -54*s**2 - 23*s + 631. Let l(k) = 49*k**2 + 22*k - 630. Let c(y) = -13*l(y) - 12*t(y). What is the first derivative of c(v) wrt v?
22*v - 10
Let v = -3 + 6. Let l(o) = o**3 - 2*o**2 - o - 4. Let z be l(v). Find the third derivative of i**4 - 8*i**2 - z*i**4 - 9*i**4 - 11*i**2 wrt i.
-240*i
Let c(t) = t**2 + 3*t - 13. Let y be c(3). What is the third derivative of -31*i**2 - 17*i**2 - 90*i**5 - 130*i**y wrt i?
-13200*i**2
Find the second derivative of -194*x + 17*x**3 - 531*x**2 + 1839*x + 555*x**2 wrt x.
102*x + 48
Let k = 261 - 225. Find the third derivative of -2*u**2 - k*u**3 - 2*u**3 + 3*u - 4*u - u - 42*u**2 wrt u.
-228
Let o be 3/12 + (-220)/(-80). Find the third derivative of 131*g**o - 160*g**2 + 114*g**3 - 39*g**3 wrt g.
1236
What is the derivative of -150*w - 444 - 470 - 371*w - 185 - 333 wrt w?
-521
Let i = 140 + -137. Let x be (18 - 3)*(-4)/(-10). What is the second derivative of x*h + 2*h**3 - h**i + 0*h**3 - 2*h**3 wrt h?
-6*h
Let y(r) be the first derivative of r**7/7 - 104*r**5/5 - 956*r**3 - 2561. What is the third derivative of y(o) wrt o?
120*o**3 - 2496*o
Let i(m) be the second derivative of -m**5/4 + m**4/6 + 187*m**3/6 - 5127*m**2 - 3*m - 43. What is the first derivative of i(q) wrt q?
-15*q**2 + 4*q + 187
Let r(g) be the first derivative of g**7/7 + 796*g**5/5 + 181*g**3/3 + 15*g**2/2 - 5671. What is the third derivative of r(f) wrt f?
120*f**3 + 19104*f
Let i(r) be the third derivative of 697*r**8/168 - 3*r**5/10 - 13*r**3/6 - 2*r**2 - 338. What is the third derivative of i(z) wrt z?
83640*z**2
Let i(v) be the second derivative of -9*v**5/20 + 49*v**4 + 70*v**3/3 + 5*v**2/2 + 550*v + 1. Find the second derivative of i(t) | {
"pile_set_name": "DM Mathematics"
} |
44 - -55.19696. Let s = c + 0.0076. Round s to the nearest 10.
60
Let n = -29993 + 57763. Suppose 2*y = 175770 - n. Suppose 11*k - y = k. Round k to the nearest 1000.
7000
Let v = -823 - -1166. Let b = v + -342.99999654. Round b to seven dps.
0.0000035
Let v = 2275 + 146. Let p = -2475.56 + v. Let x = -52 - p. Round x to the nearest integer.
3
Let j = 8056.22 + -7884. Let v = 423 - 258. Let u = v - j. Round u to zero decimal places.
-7
Let g = 6506377249.9 - 6506377305.662284282. Let q = g + 0.762274982. Let m = -55 - q. Round m to 6 dps.
0.000009
Let w = -0.11121 + -0.97949. What is w rounded to one dp?
-1.1
Let k = 875.824 - -2.176. Let y = -878.0539 + k. Let l = y - -0.04811. What is l rounded to 3 decimal places?
-0.006
Let g = -0.40988542 - -0.4098. Round g to five decimal places.
-0.00009
Let k = -645765 - -6069465. Round k to the nearest 10000.
5420000
Let g = 3.625 + -3.624998475. What is g rounded to 7 dps?
0.0000015
Let c = 128201 - 282320. What is c rounded to the nearest one thousand?
-154000
Let j = 3.8411 + -4.30028. Round j to two dps.
-0.46
Let m = 0.153044 + -0.18709. Let k = -0.0344 - m. Round k to five dps.
-0.00035
Let v be (6 - (-10)/(-1))*-3. Let o be v*(1365/10)/13. What is o rounded to the nearest 10?
130
Let x = 27613.000056428 + -27613. What is x rounded to six decimal places?
0.000056
Let h(j) = -1129631*j**2 - 12*j + 3. Let l be -18*((-102)/(-12) - 8). Let p be h(l). What is p rounded to the nearest one million?
-92000000
Suppose -l - 6 = -5. Let g(o) = o**2 + o + 1. Let n be g(l). Let f be (-1 + -2 + -247)*(n - 521). What is f rounded to the nearest one hundred thousand?
100000
Let g = 1226 - 1224. Suppose b = -b - 30. Let y be (b/g)/5*(-1 + 123). What is y rounded to the nearest ten?
-180
Let w = 8179.1 + -8179.0912243. Round w to 3 dps.
0.009
Let j(f) = 21915*f**3 - 5*f**2 + 12*f + 34. Let d be j(-2). Round d to the nearest ten thousand.
-180000
Let r be (32/(-24)*1)/(8/(-6)). Let c(m) = 42519*m**2 + 1. Let j be c(r). Let d = j - 29620. Round d to the nearest one thousand.
13000
Let v = 5.4375012 - 5.25751. Let l = 169.18 - 169. Let k = v - l. What is k rounded to 6 decimal places?
-0.000009
Let o = -12.30191 + 40.301899. Let u = -28.05 + 0.05. Let g = o + u. What is g rounded to 6 dps?
-0.000011
Let h = -66653.43 + 67112. Let a = -459 + h. Round a to 1 dp.
-0.4
Let w = -0.095913114784 + -80.521167111216. Let i = w + -7.382920514. Let z = 88 + i. Round z to seven decimal places.
-0.0000007
Let l = 72586.7477 + -72591. Round l to two dps.
-4.25
Let x(t) = -2*t**2 + t. Let q(l) = -l**3 + 28*l - 33. Let b(d) = q(d) + 6*x(d). Let u be b(-16). Round u to the nearest 10.
450
Let h = 502192.99975 + -502410. Let v = -217 - h. What is v rounded to 4 dps?
0.0003
Let g = 78880.05109 + -78881. What is g rounded to 3 decimal places?
-0.949
Let m = 7.669 - -0.211. Let x = m - 7.878266. What is x rounded to 4 dps?
0.0017
Suppose 4*q - 2015994 = -3*x, -2*x - 10 = -6. What is q rounded to the nearest one hundred thousand?
500000
Let l be 15*4/8*(-12)/(-15). Suppose l*v + 8500 = 7*v + 3*a, 3*v - 4*a = 25500. Round v to the nearest 1000.
9000
Suppose 7*i - 3*i - 92 = -4*s, 2*s - 34 = 4*i. Suppose -350624 + 14624 = -s*o. Round o to the nearest one thousand.
16000
Suppose 2*a + 923120 = -4*d, 0 = -57*a + 59*a + 3*d + 923115. What is a rounded to the nearest one hundred thousand?
-500000
Let c = -9609 - -9608.9997169. What is c rounded to five decimal places?
-0.00028
Let w = 0.019084476 - -103.980911024. Let l = w + -104. What is l rounded to 6 decimal places?
-0.000005
Let v = -1716756 - -1716468.000338. Let w = 106 - 394. Let y = w - v. Round y to five decimal places.
-0.00034
Let g = -206425 - -346030. Let j = g + -35165. Suppose -5*v - 4*f = 900004, 5*f + 435565 = -3*v - j. Round v to the nearest one hundred thousand.
-200000
Let i = -12.4 - -54.2. Let o = i - -2.2. Let c = -44.0000016 + o. What is c rounded to six decimal places?
-0.000002
Let p = 12313 - 12312.89458. Round p to three dps.
0.105
Let v = -205525 - -702085. What is v rounded to the nearest 10000?
500000
Let g = -3021047 - 1777520. Let n = g - -4798984.9811. Let c = 418 - n. What is c rounded to two dps?
0.02
Let y = -20.4 + -56.6. Let d = y - -77.18. What is d rounded to two decimal places?
0.18
Let h = -192 + 192.071. Let g = h + -0.06996. What is g rounded to four dps?
0.001
Let t = -602.7101912 + -0.0078088. Let g = -602.857 - -0.857. Let u = t - g. Round u to one dp.
-0.7
Let b = -10363 + 10251.89. Let l = b - -118.2. Round l to zero decimal places.
7
Let w = 93 - 2. Let z = w - 72.5. Let h = -18.758 + z. What is h rounded to 2 decimal places?
-0.26
Let h = -5208.999951744 + 5209. Round h to seven decimal places.
0.0000483
Let b = 248 + -251. Let d be (-2 - 2926498)/(b/40). What is d rounded to the nearest 1000000?
39000000
Let s = 17.90887 + -0.09087. What is s rounded to zero decimal places?
18
Suppose -5*c + 2*v = -3*v + 1615, -4*c = -2*v + 1284. Let u(h) = 3*h**2 - 8*h + 92. Let g be u(8). Let l = g + c. What is l rounded to the nearest 10?
-100
Suppose 14*i = 17*i - 36. Suppose -i = -9*f + 8*f. Let w be 36/f + (-107994)/(-2). What is w rounded to the nearest ten thousand?
50000
Let d = 25681.99950485 - 25682. What is d rounded to five dps?
-0.0005
Let n = 9417 + 178. Suppose m + n = 3*g, 5*m + 8280 + 7695 = 5*g. What is g rounded to the nearest 10000?
0
Let k = 801565 - 801564.7472646. Let r = k + 745.7482456. Let s = 746 - r. Round s to 4 decimal places.
-0.001
Let b = -0.00816 + 0.00812203. What is b rounded to 5 dps?
-0.00004
Let h(l) = -126695*l - 2693634*l - 30 + 170314*l. Let d be h(-2). What is d rounded to the nearest one million?
5000000
Let m = 169.93 + -169. Let g = 23.2 - 23.558. Let w = g + m. What is w rounded to 2 dps?
0.57
Let c = 0.0428356423 - 0.042839. Round c to 7 decimal places.
-0.0000034
Let y = 0.421 - 0.42105283. Round y to five decimal places.
-0.00005
Let c = 532.1 + -731. Let p = -412 - c. Round p to the nearest ten.
-210
Let w be 414/21 - (9/(-7) - -1). Suppose 14*j - w*j + 2346000 = 0. Round j to the nearest 100000.
400000
Let l = 51493 - 51516.879. What is l rounded to the nearest integer?
-24
Let q = 487860.026125602357 + -7343807477.026127472357. Let n = q + 7343319198. Let x = n - -419. What is x rounded to 7 dps?
-0.0000019
Let t = 38238 + -38240.50736. Let v = t + 2.5. What is v rounded to 4 dps?
-0.0074
Let q(j) = -34392*j**3 - 2*j**2 - 3*j + 8. Let w be q(3). Let v = -3928603 - w. Round v to the nearest one hundred thousand.
-3000000
Let n = 7965 - 1970. Suppose 5*j = -4*l + 5980, -5*j + 10*j + l - n = 0. Round j to the nearest 1000.
1000
Let a = 1470363736.020012 - 1470357432. Let d = 6304 - a. Let n = d - -0.02. Round n to six decimal places.
-0.000012
Let a = 596.4 - -2887.6. Let r = a + -3481.919. Let b = r + -2.26. What is b rounded to 2 dps?
-0.18
Let w be 27/(54/8) + 1*(4453398 - 2). Round w to the nearest ten thousand.
4450000
Let n = -386.1 + 380.397. What is n rounded to zero dps?
-6
Suppose 2*p - 2142 = 4*f, -5*p + 0*f = -4*f - 5385. Let t(q) = 115*q + 94. Let l be t(-5). Let u = p + l. Round u to the nearest one thousand.
1000
Let s = -737638 - -447714. Let i = 129924 + s. Round i to the nearest 100000.
-200000
Suppose -43*o + 21 = -36*o. Suppose 5*d = 4*m + 4452, -m = -o*d + m + 2670. What is d rounded to the nearest 100?
900
Let f = 13399 - 3738. Round f to the nearest 1000.
10000
Let b = -78410 + 50545. Round b to the nearest 1000.
-28000
Let f = -13419 + 53433. Let k = f + -39944.007. Let c = -70 + k. Round c to two decimal places.
-0.01
Suppose 19*i + 44*i - 32688320 = 7*i. What is i rounded to the nearest one hundred thousand?
600000
Let u = -83.20850237 - -421.72309029. Let r = 312.5145891 - u. Let c = r - -26. What is c rounded to 7 decimal places?
0.0000012
Let j = 5914376830321 + -5914377271821.8070077. Let i = 441501 + j. Let t = 0.193 - i. What is t rounded to six decimal places?
0.000008
Let s = 1394.01722 - 771.02059. Let g = -623 + s. What is g rounded to 4 dps?
-0.0034
Let z = 21 - 15. Suppose s - 2 + z = 3*i, 3*s - 4*i = 13. Suppose -s*l - 9371223 = 7898777. Round l to the nearest one hundred thousand.
-1600000
Let g = -102279 + 236889. What is g rounded to the nearest ten thousand?
1 | {
"pile_set_name": "DM Mathematics"
} |
e first derivative of d**2/2 - 3*d - 2. Let s(x) = -x + 8. Let o be s(-12). Suppose 5*a = -2*t - 2*t + o, 8 = 2*a - 4*t. What is q(a)?
1
Let b(i) be the first derivative of 7*i**2/2 - 2*i - 274. What is b(-5)?
-37
Let z(j) = 5*j + 27. Let l be z(-6). Let s(y) = y. Let i be s(l). Let n(w) = w**2 + 7*w + 13. Let x be n(i). Let f(g) = 6*g**3 - g**2 + g. Give f(x).
6
Let g(p) be the third derivative of -p**6/60 + p**5/5 - 5*p**4/12 + p**3/6 + 41*p**2. Let i be g(5). Let m(d) = 5*d + 1. Give m(i).
6
Let o(v) = v**3 - 11*v**2 - 14*v + 16. Let a = 398 - 386. What is o(a)?
-8
Let r = 63 + -56. Let c(h) = 7 - 4*h**2 - 5*h**2 + 6*h + r*h**2. What is c(5)?
-13
Let s(r) = -r**2 - 3*r. Let k(m) be the first derivative of -2/3*m**3 + 2*m - m**2 + 2. Let l be k(-2). What is s(l)?
2
Suppose 4 - 3 = -q. Let j(a) = a**2 + 107*a**3 - 51*a**3 + a**2 - a**2 - 50*a**3. Give j(q).
-5
Let t(f) = 16*f**2 + 16*f + 1. Let i(y) = -18*y**2 - 19*y - 1. Let b(g) = 5*i(g) + 6*t(g). Calculate b(-1).
6
Let f(o) = 17 - 24 + 5*o + 6. Let i(h) = h**3 - h**2 - 2*h - 1. Suppose 5*g = 4*l + 29, 5*l = -9*g + 4*g + 20. Let w be i(l). Give f(w).
-6
Let n(u) = -u**2 - 14*u - 20. Suppose -135*i = -141*i - 48. Determine n(i).
28
Let t(s) = -24*s + 11. Let r(v) = 27*v - 12. Let j(l) = 6*r(l) + 7*t(l). Determine j(2).
-7
Let f(n) be the second derivative of -11*n**3/6 - 7*n**2/2 + 76*n + 4. Determine f(3).
-40
Suppose 3*x - 23 = -f - 3, 2*x = -4*f + 30. Let g(b) = -1 + b**2 - 4 + 1 - 4*b. Give g(f).
1
Let v(m) = -4*m + 1. Let x = -141 + 135. Determine v(x).
25
Let v(y) be the second derivative of y**3/2 + y**2/2 - 2*y. Let c(b) = -33*b**2 + 2*b + 1. Let t be c(-1). Let l = -35 - t. Calculate v(l).
-2
Suppose 30 = 29*j - 39*j. Let w(p) = -p**3 - 4*p**2 - 3*p - 2. What is w(j)?
-2
Let q(v) = -16*v**2 + 2*v - 9. Let x(i) = -21*i**2 + i - 8. Let r(k) = 4*q(k) - 3*x(k). What is r(5)?
-12
Let k be (-33)/(-55) - (-12)/5. Let o(y) = -10*y - k + 20*y - 6*y + 0*y. Determine o(2).
5
Let t(h) = -h - 4. Let j(b) = 6*b - 5. Let u be j(-6). Let q = u + 57. Suppose 2*g + 0*g + q = 0. What is t(g)?
4
Let q(y) = 8 - 2 - 6 + 6*y. Let t(j) = -j**3 - 10*j**2 - j - 9. Let u = -59 - -49. Let k be t(u). Calculate q(k).
6
Let w(b) be the second derivative of -1/6*b**3 + 0 - b - 9/2*b**2. Let g be w(-5). Let m(q) = q**2 + 5*q + 4. Determine m(g).
0
Let l(r) = -r - 380 + 369 + 3*r. Let p(m) = -m + 6. Let j = -4 + -1. Let v(q) = j*p(q) - 3*l(q). Give v(7).
-4
Let o(c) be the first derivative of 4*c**2 + 1 - 1/4*c**4 + 5/3*c**3 - 4*c. Suppose 3*i = -2*m + 19 - 7, 0 = 2*m + 2*i - 12. Give o(m).
8
Let v be -21*8/(168/(-9)). Let x(n) = -n**2 + 10*n - 12. What is x(v)?
-3
Let h(w) = -w + 7. Let x be (5 - 13/3)*(11 - -1). Calculate h(x).
-1
Let n(k) be the first derivative of -3*k**2 - 13*k + 22. Give n(-3).
5
Let y(h) = 3*h + 5. Suppose 4*m = -8, -4*m = -3*v - 2*v - 522. Let i = 101 + v. What is y(i)?
-10
Let q(h) = 3 + 5*h + 80*h**2 - 79*h**2 + 3*h. What is q(-8)?
3
Let f(g) = -g**2 + 4*g**3 - 7*g**3 - 10*g**2 - 9 + 2*g**3 + 11*g. What is f(-12)?
3
Let z(r) = 14 + 4*r - 17 + 4 + r. Let d(c) = c**2 + 6*c - 9. Let o be d(-7). Calculate z(o).
-9
Let h(o) = -2*o + 9. Suppose 0 = 3*p - 6*a + 4*a - 14, 0 = -2*p - 2*a + 16. Calculate h(p).
-3
Let v(u) be the second derivative of -u**5/20 - u**4/3 + u**3 - 7*u**2/2 - 4*u + 34. Calculate v(-5).
-12
Let a(l) = 0*l - 2*l - 7*l. Let i be a(2). Let n = 13 + i. Let m(p) = -p**2 - 7*p - 2. Give m(n).
8
Let j = 1431 - 1448. Let w(z) = -z**3 - 15*z**2 + 33*z - 23. Determine w(j).
-6
Suppose 3*i = 14*i - 33. Let r(b) = -2*b**3 + 3*b**2 - 2*b. Determine r(i).
-33
Let d(r) = 2*r + 5. Let f(p) = -5*p - 47. Let c be f(-9). Let n(s) = 5*s - 4*s + 2*s. Let j be n(c). Determine d(j).
-7
Let q(g) = -g**2 + 6*g - 1. Let d(a) = -a**2 + a + 4. Let j be d(2). Suppose 0 = z + j*y, 0*z + 4*z = 4*y + 36. Calculate q(z).
-1
Let a be 0/((-2*3)/(-2)). Suppose 3*i + 0*i - 21 = a. Let z(m) = i*m + 5*m + 2 - 9 - m**2 - 4*m. Calculate z(6).
5
Let b(a) be the third derivative of -a**4/24 - 5*a**3/3 + a**2. Let i(h) = 3*h - 5. Let q be i(7). Let y = -22 + q. Calculate b(y).
-4
Let v(z) be the second derivative of 0 + 1/2*z**4 + z + 1/20*z**5 - 7/6*z**3 + 5/2*z**2. Let g = 0 + -7. Give v(g).
5
Suppose o + 7*m - 11*m - 17 = 0, -4*o + 5*m + 24 = 0. Let x(n) = 10*n**2 + 1. Calculate x(o).
11
Let d(f) = -2*f**2 - 12 + 11 - 4*f + f**2. Let r(g) = g**2 + g - 3. Let o be r(0). Give d(o).
2
Let h(p) = -3*p - 4*p + 7*p - 20 - p. Let y be h(-14). Let z(d) be the first derivative of d**2/2 + d + 1. Give z(y).
-5
Let h(i) = -24*i - 8 + 23*i - 1. Give h(-9).
0
Let m(v) be the third derivative of v**4/3 + v**3/6 + v**2. Suppose 0 = -8*c - 8 - 0. Let k be c*(-1 - 2)/(-3). What is m(k)?
-7
Let d be (((-35)/2)/(-7))/(12/(-24)). Let b(x) = -7*x**2 - 10*x - 1. Let i(m) = 4*m**2 + 5*m. Let l(h) = -3*b(h) - 5*i(h). What is l(d)?
3
Let p = -1 - -5. Suppose p*t = t. Let y(q) = 7 + 67*q - 20*q + 4*q**2 - 3*q**2 - 25*q - 21*q. Determine y(t).
7
Suppose 2*g = 3*k - 41, -65 + 13 = -4*k + 4*g. Let x be 2/(-5) + 6/k. Let f(c) be the third derivative of -c**5/60 + c**4/24 - c**3/2 + 9*c**2. What is f(x)?
-3
Let d = -291 + 291. Let q(n) = -2*n**2 - n + 9. Give q(d).
9
Let d = 1 - -4. Let o(y) = -8*y - d - 6*y + 11*y + y**2 - y. Determine o(5).
0
Let w(p) = -p - 3. Let q be 0 + 2 + -8 + 14/7. Determine w(q).
1
Let p(x) = 7*x**2 + 5. Let r be p(-2). Suppose 2*c = -3*u + r, 3*u = u + c + 22. Let a(z) = z**2 - 10*z - 11. Give a(u).
0
Let o be 75/(-200)*-2*(-2)/(-12). Let i(x) be the third derivative of o*x**4 + 0 + 1/2*x**3 + 5*x**2 - 1/60*x**5 + 0*x. Give i(4).
-1
Let z(v) = v**3 + 11*v**2 - 13*v - 11. Let b be z(-12). Let m be ((0/4 - b) + 0)*-1. Let h(u) = -2*u + u**3 + 4*u**2 + 2*u**2 - 7*u**2 + 1. Give h(m).
-1
Let v(r) = 4117*r**3 - 2 - 4116*r**3 + 2*r - 4*r**2 + 1 + 0. Let d be (5/(-2))/(1/2). Let w = -2 - d. What is v(w)?
-4
Let y(f) = 4*f + 2*f**2 - 3*f - 3*f**2 + 5. Let o(s) = -5*s**3 + s**2 - 2*s - 3. Let d be o(-1). Give y(d).
-15
Let w(c) = -c**2 - 8*c - 7. Let q(a) = -a + 13. Let k be q(-7). Let l = k - 28. What is w(l)?
-7
Let d(f) be the third derivative of -f**5/30 + f**4/4 + 7*f**3/6 + 3*f**2 + 4. What is d(5)?
-13
Let j = -15 - -19. Let i(z) = 0*z + 1 + 4*z + 6*z - 8. Let s(d) = -5*d + 4. Let q(r) = 2*i(r) + 5*s(r). Determine q(j).
-14
Let x(v) be the first derivative of -1/3*v**3 + 11/2*v**2 + 25 + 19*v. Calculate x(13).
-7
Let i(g) = 5 + 3*g + 2*g**2 - 3*g**2 - 5. Let z be i(3). Let x(h) = z*h + 2*h - 33*h**2 - 1 + 32*h**2. Give x(3).
-4
Let t(c) be the second derivative of c**5/20 - c**4/3 - 5*c**3/6 - c**2 + 4*c. Suppose -4*j + 2*j - 16 = 0. Let d be (-46)/j - (-3)/(-4). Determine t(d).
-2
Let s(f) = 3 + 147*f**2 - 146*f**2 + 3*f - 5. Calculate s(1).
2
Let s be (-8)/10*20/(-8). Let g(i) = -4*i**s + 0*i**2 + 2*i + 2*i**3 + i**2 - i**3. Suppose 0 = -3*y + 10 - 4. What is g(y)?
0
Let z(y) = -7*y**2 - 49*y - y**3 + 86*y + 42 - 45*y - 48. Let o be (4 + -1)/((-2)/4). What is z(o)?
6
Let k(c) = 4*c + 1. Let s(u) = -2*u**2 + 3*u + 26. Let o be s(-3). Give k(o).
-3
Let n(t) be the second derivative of -t**4/12 + t**3/2 - t**2/2 - 151*t. Give n(4).
-5
Suppose 7*p - 4*p = -15, -2*l - 2*p - 10 = 0. Suppose l = h - 0*h - 4. Let n(a) = h*a - a + 1 - a. Determine n(1).
3
Suppose 6*o + 9 = 9*o. Let x(v) = 1 - 1 + 10*v**2 - 3*v - 9*v**2 - 1. Determine x(o).
-1
Let g(r) = r**2 - 5*r + 1. Let a be (-3)/(-3) - -2 - 1. Suppose 0 = a*m - q + 5*q - 18, m + 5*q - 12 = 0. Let c(d) = d - 3. Let h be c(m). Calculate g(h).
-3
Let l(y) = -2491 + 2*y + 1248 - 6*y + 1243. Calculate l(-10).
40
Let s be 1155/11 + (-1 - 1). Let l = -71 + s. Suppose 2*p + 10 = q, 4*p + l = 4*q + q. Let i(h) = h**2 + 3*h + 1. Give i(p).
1
Suppose 3*u - x = -2*u + 32, 0 = -x - 2. Let o be u/(-4 - -3 - 1). Let h be o/((-2)/(16/(-4))). Let d(m) = m**2 + 8*m + 5. Determine d(h).
-7
Let h be 44/(-11) + -2 + 15 + 1. Let q(d) = h*d + 56 - 56 + d**2. Calculate q(-8).
-16
Let m(b) = -b**3 + 9*b**2 + 10*b + 3. Let y = 165 - 155. Give m(y).
3
Suppose -3*d - 1 = 4*n - 31, -5*n = -15. Let p(r) = 3*r + 2. What is p(d)?
20
Let r be (-14)/(-2)*(-6 - -2 - -5). Let o(u) = -2*u**2 - 11 - 6 - r*u + 12. Let h(y) = y + 2. Let z be h(-6). Give o(z).
-9
Suppose 0 = -3*i - 5*y + 37, 2*i + 2*y - 13 | {
"pile_set_name": "DM Mathematics"
} |
- -10. Is t even?
True
Suppose 2*x - 7*x = -60. Let o = -3 + x. Let r = 14 - o. Is r a multiple of 2?
False
Let o(w) = w**2 - 7*w - 6. Let l be 74/8 - (-2)/(-8). Is 4 a factor of o(l)?
True
Let s = 18 + -45. Let n = s - -68. Let p = 4 + n. Is p a multiple of 18?
False
Let d(y) = 8*y - 1. Is d(23) a multiple of 23?
False
Let q(k) = k - 4*k + 3 + 2*k. Let g be q(-3). Suppose -g - 27 = -3*v. Is v a multiple of 11?
True
Suppose 744 = 8*n + 256. Is 19 a factor of n?
False
Let m(y) = 2*y - 2*y + y + 12. Does 12 divide m(0)?
True
Suppose 0 = -a + 2*z + 14, -3*z + 0*z = -3*a + 51. Let v be 6/15 + 452/a. Let g = 49 - v. Does 26 divide g?
True
Let x = 6 + -4. Let g be x/6 + 35/(-15). Is 1*-1*28/g a multiple of 12?
False
Let x = 33 + -18. Does 5 divide x?
True
Let r be (71/(-3))/(5/(-30)). Let s = r - 84. Is 20 a factor of s?
False
Let v(h) = -h**3 - 9*h**2 + h - 21. Is 10 a factor of v(-10)?
False
Let p(u) = 3*u**2 + 6*u + 20. Is p(-5) a multiple of 13?
True
Let u = 32 + 0. Let p = u + 3. Does 13 divide p?
False
Suppose 0 = 2*o + 3*o - 5. Let i(a) = 18*a**3. Is i(o) a multiple of 9?
True
Let b(v) = v**2 + 3*v + 3. Let s be b(-2). Is 16 a factor of 30 + s + -1 + 2?
True
Let h(c) = 2*c**3 - 3*c - 3*c**3 - 4 + 1 + 6*c**2 + 4. Suppose -5*b + 21 = 1. Is h(b) a multiple of 17?
False
Let u(w) = 5*w + 28*w**2 - 4*w + 2 - 3. Is u(1) a multiple of 14?
True
Let d(x) = -x**2 - 7*x - 3. Let u be d(-6). Let v be 1/u*(-1 + 22). Let g = v - -6. Is g a multiple of 13?
True
Suppose -8 = -5*z + 7. Suppose -51 = -0*t + z*t. Let u = t + 26. Does 9 divide u?
True
Let w(k) be the second derivative of 1/2*k**2 - 1/6*k**3 + 0 + 3*k. Is 5 a factor of w(-4)?
True
Let s(m) = -m**3 + 4*m**2 - 2*m. Let g be s(3). Suppose n = -g*n. Suppose -a + 9 = 5*q, 5*a - 2*q - 126 = -n*q. Is 12 a factor of a?
True
Suppose -2*x + 638 = 4*m - 0*x, -m = -3*x - 149. Suppose -2*u - u = 2*f - 94, 3*f = -5*u + m. Does 17 divide u?
True
Suppose 5*x + 5*f - f - 4 = 0, -5*x - f + 1 = 0. Is 1 + 42 - (3 + x) a multiple of 6?
False
Suppose 5 = -2*l + 3*l - b, -4*l + 3*b + 18 = 0. Suppose 5 = t + x, -2*t - l*x + 5 = -4. Suppose 4*h = -5*u + t + 2, -4*u = -2*h - 22. Does 3 divide u?
False
Suppose 16 = -2*u - 12. Suppose 0 = 5*a - b + 151, 3*a - 2*b = a - 62. Let x = u - a. Does 8 divide x?
True
Let y be 0 - 1 - (-1 + -3). Let f = -1 + y. Suppose 56 = f*r + 2*r. Is 5 a factor of r?
False
Suppose 6*r - 4*r + 8 = 0. Let u = r + 7. Does 3 divide u?
True
Suppose 0 = -i + 11 - 1. Does 19 divide (59/(-2))/((-5)/i)?
False
Let m = 5 + -1. Is 22 a factor of (m - (-3)/(-1))*45?
False
Suppose -3*c + 4*c - 2 = 0. Suppose -c*o + 8 = 2*o. Suppose -s - s + 26 = v, 2*s = -o*v + 22. Does 14 divide s?
False
Let y be (-1)/(-2) - 540/(-8). Suppose 0*j - y = -4*j. Is j a multiple of 7?
False
Let f = -1 - 6. Suppose -3*c + 4*i = 68, 0 = 5*c - 2*i + 17 + 101. Let t = f - c. Does 15 divide t?
False
Suppose -r - 432 = -9*r. Is 9 a factor of r?
True
Let f = 28 - 9. Is 12 a factor of f?
False
Let h be (3 - -2 - 3) + 2. Suppose -5*n + 0*c + 485 = 3*c, 356 = 4*n - h*c. Suppose 3*g - n = -g - 2*q, 0 = 3*g + 2*q - 69. Does 20 divide g?
False
Let b be 2 + 2*(-9)/6. Let f be (-1290)/(-24) - b/4. Suppose 0*c = -2*c + f. Is c a multiple of 16?
False
Suppose -4*r = -5*n - 563, -4*r + 2*r + 2*n = -284. Is r a multiple of 37?
False
Let o = -3 + 5. Suppose -o*z = 2 - 20. Suppose p - 21 = z. Is p a multiple of 19?
False
Let m = -3 - -5. Let p be (-28 - 0) + -4 + m. Is ((-6)/(-9))/((-2)/p) a multiple of 4?
False
Let z be (-10)/25 + 153/(-5). Let x = 1 - z. Suppose 2*w - 34 = -2*k, 4*k + x + 17 = 5*w. Does 13 divide w?
True
Let r(b) = 5*b**2 - 1. Let k be r(1). Suppose 0 = -5*f + k*f + 15. Is f a multiple of 12?
False
Suppose -5*o + 5*j = -15, 2*j + 5 - 13 = -5*o. Let h be (-1 - (0 - -1)) + 4. Suppose -1 - 5 = -o*l - h*y, -l + 2*y = -3. Is 2 a factor of l?
False
Let u(s) = 7*s**3 + 4*s**2 - s + 4. Let k be u(3). Suppose 5*m - k - 174 = 0. Suppose x - m = -3*x. Is 20 a factor of x?
True
Let f(w) = w**3 - w**2 - w. Let a be f(2). Let o be (0 + 0 + 0)/a. Suppose -j - 63 = -x - o*j, 120 = 2*x + 4*j. Is x a multiple of 20?
False
Does 13 divide 11/(-22)*72/(-1)?
False
Let p = 217 + -78. Is p a multiple of 15?
False
Let r = -11 + 7. Is 30 + r/((-8)/6) a multiple of 11?
True
Let o(t) = 6*t**3 - 2*t**2 - 2. Let d be o(2). Let w = d - 10. Let y = 40 - w. Is 8 a factor of y?
False
Let q(p) = 7 + 5*p - 3*p + 5*p - 4*p. Let m(o) = -2*o - 6. Let u(t) = 4*m(t) + 3*q(t). Is 3 a factor of u(9)?
True
Suppose -4*a = 37 - 1. Does 12 divide (-6)/27 + (-119)/a?
False
Let q be (-1)/4 + 52/16. Let r(d) = 3*d + 5 + 2*d**2 - q*d**2 - 10*d. Does 6 divide r(-4)?
False
Let s(p) = 3*p**3 + p**2 + p + 2. Let j be s(2). Let k = j + -10. Let o = k + 11. Is o a multiple of 9?
False
Let u be 94/3 - (-1)/(-3). Let z = 2 + -20. Let j = z + u. Does 6 divide j?
False
Let z(h) = h**2 - 2*h - 1. Let w be z(-1). Suppose 2*k - 67 = -5*l, 5*k - 2*k = -w*l + 18. Is 2 a factor of (-8)/10*l/(-6)?
True
Let g = -137 + 267. Suppose -5*f - h + g = 4*h, 4*h = -5*f + 129. Is f a multiple of 7?
False
Let p = -19 + 4. Let t = p - -39. Does 8 divide t?
True
Let y(u) = u**2 - u + 2. Suppose 5*k = r - 0*r + 14, 4*r = k - 18. Let m = -6 - r. Does 8 divide y(m)?
True
Suppose 0 = -4*x + 2*l + 62, x - 2*l - 5 = 12. Is x a multiple of 15?
True
Let h(v) = 7 - 10*v - 7. Let l be h(-2). Suppose -f + l = 4. Is f a multiple of 6?
False
Let o = 0 + 2. Let r be (-60)/(-18)*3/o. Suppose -r*x + 43 = j, 22 = 2*j - x - 31. Does 14 divide j?
True
Let k = -8 - -31. Is k a multiple of 14?
False
Let j(q) = -2*q + q + 3 + q**2 + 16. Does 5 divide j(0)?
False
Let l = 93 - 84. Is l a multiple of 3?
True
Let q = 27 - 7. Does 8 divide q?
False
Suppose 9 = 3*b + y, 2*y + 0*y - 4 = b. Suppose -69 = -n - b*n. Let f = n + 26. Is 13 a factor of f?
False
Let h(k) = -k**3 + 8*k**2 + 6. Let d = 27 + -19. Does 5 divide h(d)?
False
Let v be (1 - (-4)/(-3))*-6. Suppose -7*n + 30 = -v*n. Suppose -79 = -3*d - y, 5*y + n = 2*d - 41. Is d a multiple of 11?
False
Suppose 4*o = -3*o + 420. Is 30 a factor of o?
True
Suppose -q - 4 = -3*q. Let v(m) be the third derivative of m**5/15 - m**3/6 + m**2. Is 15 a factor of v(q)?
True
Let g = 153 - 141. Let y(x) = x**3 - 4*x - 7*x + 1 - 11*x**2 + 5. Is 9 a factor of y(g)?
True
Suppose -6*t + 10*t = 56. Is t a multiple of 12?
False
Let x be (3 - 1) + (13 - 1). Suppose -n + x = n. Let i = n - -3. Is i a multiple of 5?
True
Let d(x) = -x**3 + 4*x**2 - 1. Let f be d(4). Let l(h) = -5*h - 1. Is 2 a factor of l(f)?
True
Suppose 2*a - 133 = -11. Is a a multiple of 15?
False
Suppose 0 = 2*f + 3*f - 215. Does 10 divide f?
False
Suppose -3*f - 3*f = -420. Is 14 a factor of f?
True
Suppose 82 = l + 30. Is 13 a factor of l?
True
Let s be ((-4)/(-6))/((-2)/48). Does 3 divide (-19)/(-4) - (-12)/s?
False
Suppose 0 = 2*d - 4*d - 6, 5*x - d = 8. Suppose 2*v - x = -p, -5*v - p = -10*v - 8. Is 6 a factor of v + (-7)/(2/(-2))?
True
Suppose 0 = -22*j + 18*j + 384. Is j a multiple of 14?
False
Let u = 10 - 19. Does 7 divide (6/4)/(u/(-84))?
True
Suppose -3*x - 2*x = -30. Let b = -8 + x. Is 24 - b/4*-4 a multiple of 12?
False
Let a(d) = -33*d. Let i be a(1). Does 8 divide (i/15 + 3)*20?
True
Let t(g) = -g**2 + 4*g + 7. Let f = 9 + -4. Let i be t(f). Suppose -140 = -5*s - i*r, -4*s + 3*r = -5*s + 15. Is s a multiple of 15?
True
Suppose 0 = 3*f + 5*w - 71, 4*f - 3*w + 0 - 114 = 0. Does 8 divide f?
False
Let h(i) = 22*i**2 + 4*i - 3. Is h(-3) a multiple of 61?
True
Let d = -48 + 111. Is 13 a factor of d?
False
Suppose 5*b - 6 = -5*l - 51, -2*b = l + 22. Let z = -1 - b. Suppose -j + 2*m = -10, -3*j + 4*m + 14 + z = 0. Does 4 divide j?
False
Suppose -5*g + 584 = -0*o + o, -2*o = -4*g + 456. Is 26 a factor of g?
False
Let u(b) = b**2 - 4. Let l be u(3). Suppose 3*v = 3*d + 2*d - 107, d + l*v = -1. Is d a multiple of 7?
False
Suppose 6*w - 37 - 47 = 0. Does 3 divide w?
False
Suppose 14*w = 9*w + 330. Is 11 a factor of w?
True
Let l = -27 - -36. Suppose d + 3*q - 25 = -6, d + q - l = 0. Is 3 a factor of d?
False
Let k be 67/5 + (-2)/5. Let u = k - 4. Suppose -2*i + 5*j + 17 = 0, j = -2*i - 2*j + u. Does 4 divide i?
False
Is 21 a factor of 39 + 1/((-4)/(-4))?
False
Suppose 2*p = 3*m - 6, -5 = -m - 3*p - 3. Suppose -m*x + 5*r + 20 = x, | {
"pile_set_name": "DM Mathematics"
} |
(41 - 209))
50
Evaluate 9 + -5 + -2 - (-17 - (10 - 14)).
15
Calculate 3 + 10 + -5 + (-361 - -353).
0
Calculate 130 + (43 - (-130 - -416)).
-113
Calculate 16 - (70 + 51 + -99).
-6
Calculate (12 - -9) + -14 - -19 - ((0 - 3) + -7).
36
Evaluate 6 + -14 - (-53 + 1 - -150 - (0 + 10)).
-96
Calculate -5 - (17 + 24 + (16 - 33)).
-29
What is the value of 21 + 44 + 6 - (-9 - ((-2 - -14) + -7))?
85
Calculate 97 - (106 + -97 + (-1 - -4) + -11).
96
What is the value of (-14 - (-18 - -16)) + -14 + 91?
65
Evaluate 56 + 1 + -1 + (-8 + -1 + 6 - -8).
61
What is -19 - (23 + -27) - -5 - -18?
8
What is 153 - ((-27 + -13 - -58) + -17)?
152
Evaluate 44 + -16 + -57 + -1.
-30
What is (-1 - 21 - (-195 + 140) - 4) + -20?
9
(-4 - (-32 + -27)) + 66
121
Calculate -4 + -3 + (13 + 9 - (0 + 5)).
10
What is the value of 14 + (-4 - (-6 + 0) - (53 + -31))?
-6
(18 - 10) + 43 + -17 - 40
-6
-25 + (19 - -4) - (-15 + -102 + 9)
106
Calculate -92 + (-4 - -83) + (2 + -3 - -59).
45
Evaluate 14 - (-42 - (61 - 51 - (-3 + 13))).
56
Calculate (9 - -1) + (-70 - (23 + -78)).
-5
What is the value of 728 - 735 - (0 - (70 + -1 + 2) - -3)?
61
Calculate 60 + -99 + (44 - 61).
-56
What is the value of -122 - (-28 - 36 - 111)?
53
What is -197 + 295 + 22 - (32 + 1)?
87
27 + 2 + (0 + 7 - -2) - (24 - 17)
31
What is the value of (-1 - (4 - 0) - (97 + -113)) + -69?
-58
Evaluate (-14 - -13 - -20) + -83 + 22.
-42
-18 + -17 + 15 + -6 + -12 + 25
-13
Calculate 3 + (-3 - 3) - (7229 - 7219).
-13
Calculate -64 + 5 + 14 + -6 - (8 + -4 + -10).
-45
-39 + 28 + -29 + 0
-40
Calculate -107 + -2 + -3 + (12 - 18) + 22.
-96
Calculate -13 + (-8 - 3 - (15 + -112 + 16)).
57
Evaluate -6 + (24 - 4) + (1 - -4) + -11 + -24.
-16
Evaluate (2 + -16 - 3) + 278 + -215.
46
What is -2 + 101 - (20 + (11 - (2 + 11)))?
81
What is the value of -12 + 0 + (110 - 53 - 40)?
5
What is -51 - -1 - ((-61 - -62 - (1 + 1)) + 14)?
-63
What is the value of 66 - 30 - (11 + -14 - ((0 - -5) + -9))?
35
What is the value of -27 + (5 - -43 - (-53 + 79))?
-5
11 + -6 + -6 + -1 + -29 + 0
-31
(1 + -1 - 1) + (37 - -20 - 57 - 55)
-56
Calculate 3 + -27 + (11 - 18) + -6 + (10 - 0).
-27
Evaluate -60 - ((0 - 42) + 5 + 21).
-44
Evaluate -303 - -311 - (1 + 48).
-41
61 - (47 + (12 - -32))
-30
Evaluate -97 + 276 + -25 + (7 - 30).
131
Calculate 28 + -8 - (-14 + 4).
30
2 + 22 + 50 + -32 + -8
34
Calculate 53 + 106 + (-92 - 77).
-10
What is the value of (1 - 1 - -2) + 9 + (-9 - (-37 + 15))?
24
What is the value of (13 - (-1 - 14)) + 97 + -118?
7
What is (-24 - -92) + -32 - 0 - -2?
38
What is (58 - (-2 - -2)) + 83 + -328 + 232?
45
What is the value of -2 + (-10 - (2 + -3) - (-2 + 6 + -1))?
-14
1 - 32 - (1 - 9 - (412 - 412))
-23
Calculate 40 - (-47 + 59 + 11).
17
Evaluate 4 + 14 + (-5 - (6 + (-8 - 8))).
23
7 + 5 + -3 - 83 - -19
-55
Calculate -1316 - -1296 - (5 + -11 - (5 - 0 - 2)).
-11
What is 0 + -16 + -4 + -22?
-42
Calculate 14 - 7 - (5 + -3 - -8) - -42.
39
What is (-5 + 4 - -16) + -309 + 291 - -15?
12
Evaluate -40 - (0 + -52 - (853 - 864)).
1
Calculate 6 - (-2 - (-2 + 7 + -28)).
-15
What is -21 + 3 + (22 + 7 - 15)?
-4
Evaluate (-17 - (83 + -50)) + 67.
17
7 - ((-1 - -4) + 146 + -129)
-13
-19 + -2 - -3 - (-57 + 38 + 27)
-26
Evaluate -198 - -40 - (-237 + 46).
33
Evaluate 9 - ((-20 - -36) + (-12 - 11)).
16
Calculate -3 + 2 + 1069 + -1062.
6
What is the value of (1 + 11 - (-36 - 0 - -47)) + (-4 - 0)?
-3
What is 3 + -2 - (22 + (2 - -13)) - -1 - 2?
-37
Calculate -103 + 47 + 4 + -97.
-149
What is -12 - 27 - -26 - (58 + 3)?
-74
Calculate (17 - -16) + 11 + (21 - (13 + -8)).
60
What is -6 + -4 + 12 - 2 - 19 - (18 + -13)?
-24
Calculate 14 - 60 - (-106 - -13) - -33.
80
Calculate -33 + (0 - 31 - (-916 + 854)).
-2
Calculate 16 - (-14 + 33) - (-20 + 4) - (-61 - -1).
73
Calculate 30 + -40 + -35 + (-1 - 9).
-55
Evaluate -2 + -7 + (0 - (25 + -38)) + 18.
22
Evaluate 42 + -90 + 48 + (0 + 1 + 32 - 1).
32
Calculate 27 + 9 + -59 - (2 - 14).
-11
What is the value of -15 + (-40 - -43) + 17 + -9 + 2?
-2
(-167 - -160) + (-26 - -9) + -7
-31
What is the value of 0 + -3 + 10 + -1 - (1535 - 1551)?
22
Evaluate -21 + (71 - (61 + -45)).
34
What is the value of (-212 - -100) + (0 + (3 + 0 - -2) - -2)?
-105
Evaluate 41 - (-26 + (16 - 3 - 6)).
60
What is (-13 - 0) + (-2 - -54 - (2 - -10))?
27
Calculate 38 + -117 + 7 + 11.
-61
What is 1 + (-16 + (9 - 1) - -10 - 0) - -3?
6
Evaluate -97 + -2 + -304 + 458.
55
10 + (6 + -16 - -8 - (-9 - -34))
-17
What is -98 + (-28 - -6 - -13) + -3 + 1 - 14?
-123
Evaluate ((-10 - 2) + 19 - (41 + -3)) + (29 - 39).
-41
Calculate 250 + -372 - (-53 - 4).
-65
Evaluate 5 - (-3 - (-22 + -11 + -1 + -2 + 2)).
-26
1 + 27 - 58 - -64 - ((0 - -3) + 2)
29
What is 145 + (-68 - (-1 + -27)) + 17?
122
What is (-11 - (-1 + -14 + (0 - -42))) + 11?
-27
Evaluate (13 - (-11 - -28)) + (2 - 0) + -37.
-39
What is the value of 1141 + -1113 + -1 + -33?
-6
What is -13 + (11 - (23 + -4 + 6))?
-27
Calculate (16 - (29 - 32)) + -15 + -1.
3
What is -4 + ((11 - 4) + -11 - -14) - (12 - 1)?
-5
6 - ((-13 - -20 - 19) + -19)
37
1 + -12 - (-2 - 0 - (-18 - (-109 - -27)))
55
Calculate -259 - -20 - -141 - (-4 - -32 - 2).
-124
Evaluate 87 + -43 + 1 + -57.
-12
-52 + (22 - 8) + 23 - -46
31
Calculate -4 - (17 + -8) - ((12 - -6) + -85 - -16).
38
What is the value of -50 - (-59 + -63 + 89)?
-17
What is the value of 1 + (-1 - -2) - (-86 + 85) - 41 - -11?
-27
-35 - -1 - -45 - (-5 - 65 - -7)
74
Calculate 3 + (3 - 2 - (-19 + 30)) - -39.
32
What is (-6 - 30) + -1 + 8 + -17?
-46
What is the value of 4 + -11 + (-8 - -20) - (-2 + 12 + 85)?
-90
What is -3 - -2 - (-4470 + 4378)?
91
Calculate (92 + 4 - -1) + 0 - (-16 - 5 - -32).
86
What is -133 - ((-26 - -10) + 30 + -4 + -6 + -2)?
-135
Evaluate 58 - (-18 + -6 + 26 + 9 + -27).
74
Evaluate (34 - -3 - (-36 - -58)) + -5.
10
Evaluate 37 - (-71 - -32 - -152).
-76
22 + (-3 - 53) + -36 + 7
-63
Evaluate -1 + 35 + ((9 - 5) + -1 - (-4 + 7)).
34
What is (54 - (-66 + 118) - (-1 - -12)) + -7?
-16
What is the value of 21 + -111 + 74 + 4 + 1 + (1 - -148)?
138
Calculate -19 + -19 + 11 + 4.
-23
Evaluate (410 + -417 - (-2 + 5)) + (0 - -2) - 29.
-37
6 + (8 - (-2 - -4) - -2 - 0)
14
Calculate (-11 - -68 - 17) + 0.
40
30 - (50 + -48 - (-1 - 12))
15
What is -1 + -4 + (7 - -18) + (5 - -2)?
27
Calculate ((-150 - -159) + 1 + -9 - -4) + -15.
-10
-21 - (-9 - 3) - 4
-13
What is the value of 1 + 16 - 23 - (-1 + 4)?
-9
-5 + (16 - 17 - 13 - -7)
-12
Calculate 6 + (19 - 32) + -9 - (5 - (-2 + -1)).
-24
What is the value of -1 + (-102 - 14) + 62?
-55
What is the value of (-12 + 18 + 22 - 22) + 10?
16
What is 71 + 0 + (6 + 6 - -11 - 22)?
72
(-83 - -78) + 75 + -43
27
(38 - (13 - -20) - 13) + 0 + -42
-50
Calculate -485 + 487 - (104 + 1).
-103
What is the value of 68 - (44 + -53 + 4 + (-7 - -4))?
76
Evaluate 13 + -5 - (14 - (-16 + -13 + 29 + 6)).
0
Calculate (-58 - -2 - (-2 - 6)) + 31.
-17
What is -3 + (6 - -6) + -1 + 0 - (-1435 - -1451)?
-8
What is 70 - 0 - ((-1987 - -2000) + 2 + -4 + -7)?
66
What is the value of 127 + -117 - (-5 - -30)?
-15
-2 + -46 + 3 + 1 + 8 - -10
-26
What is the value of -1654 - -1537 - (-93 + 0)?
-24
-1 + -20 + (69 - (-218 - -267))
-1
What is the value of -226 - (-242 - -20) - (2 - 115)?
109
What is 46 + (48 - 9 - 83)?
2
Evaluate -72 + 12 + 23 + -39 + (-1 - -24).
-53
What is the value of -107 + 151 + 47 + -97?
-6
What is the value of 132 - (-18 + (122 - 82))?
110
What is -3 + (9 - (9 - (7 + 12)) - -15)?
31
What is (-29 - -65) + (1 - (9 - (31 - 14)))?
45
Calculate (-17 - (-5 + (-22 - -5))) + 27 + -100.
-68
(-8 - (11 + -17)) + (-4 - (5 + 0))
-11
What is the value of (11401 - 11316) + (1 - 139)?
-53
-109 - 42 - (-44 + -10)
-97
Calculate 150 + (-35 - -15) + (4 - (10 + 15)).
109
What is -41 - (-52 - -8) - (-1 + (2 - (-3 + 4)))?
3
1 + -18 + (9 + 9 + -13 - -2) + 31
21
What is the value of 87 - (84 + 5) - (-1 + 1)?
-2
260 - ((126 - 127) + 120)
141
Evaluate -16 + (-5 - -7) - (-485 - -453).
18
What is the value of (47 - 64) + 52 - 8?
27
(64 - 1) + 8 + 0 + (16 + -1 - 32)
54
What is the value of -19 - (-4 + 0 + -4 + 14 - (1 + 9))?
-15
Calculate 0 + -76 - (1995 + -2126).
55
Evaluate 93 + -94 + 32 + -7.
24
Evaluate 57 + (79 - (7 + 74)).
55
What is the value of -33 + (42 - 24) + -11 + -1 + 0?
-27
Calculate -13 + -1 + (36 - 19).
3
11 + -104 + (-21 - -23) - (2 - (-4 - -1))
-96
Calculate 20 - 4 - 27 - 2 - -24.
11
What is th | {
"pile_set_name": "DM Mathematics"
} |
d without replacement from yfufjrm.
2/21
Two letters picked without replacement from {t: 3, a: 7, w: 3}. Give prob of picking 1 a and 1 w.
7/26
Calculate prob of picking 2 a and 2 n when four letters picked without replacement from nnanaaannnn.
21/55
What is prob of picking 1 v, 1 f, and 1 h when three letters picked without replacement from {f: 2, h: 4, o: 2, v: 2}?
2/15
Three letters picked without replacement from {a: 7, c: 2}. What is prob of picking 2 c and 1 a?
1/12
What is prob of picking 3 e and 1 d when four letters picked without replacement from {e: 6, d: 2}?
4/7
Calculate prob of picking 2 s when two letters picked without replacement from iisfiissisiif.
1/13
Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {l: 1, z: 1, a: 5, k: 2, r: 2, f: 2}.
5/78
Two letters picked without replacement from ejqievx. What is prob of picking 1 i and 1 q?
1/21
What is prob of picking 2 b when two letters picked without replacement from jjbbbjbjjjj?
6/55
Four letters picked without replacement from {p: 2, z: 8, m: 1, k: 2, l: 2, d: 2}. Give prob of picking 1 z, 2 p, and 1 l.
4/595
Calculate prob of picking 1 x, 1 v, and 1 w when three letters picked without replacement from {i: 1, v: 3, j: 1, x: 3, p: 2, w: 5}.
9/91
Two letters picked without replacement from {h: 1, u: 2, v: 1}. What is prob of picking 2 u?
1/6
Three letters picked without replacement from qqqqqq. What is prob of picking 3 q?
1
Two letters picked without replacement from {v: 2, d: 1, p: 4, j: 5, e: 2}. What is prob of picking 2 p?
6/91
Three letters picked without replacement from {k: 2, n: 8, x: 4}. What is prob of picking 3 x?
1/91
Three letters picked without replacement from {m: 4, b: 2}. Give prob of picking 1 b and 2 m.
3/5
What is prob of picking 3 o and 1 i when four letters picked without replacement from xtbioitooiiiib?
6/1001
Two letters picked without replacement from {d: 5, i: 2, s: 9}. What is prob of picking 1 s and 1 d?
3/8
Two letters picked without replacement from yjjwywyj. Give prob of picking 1 j and 1 w.
3/14
What is prob of picking 1 j and 1 z when two letters picked without replacement from jfzjfijjjjjjjujjjumu?
6/95
Four letters picked without replacement from {g: 3, o: 5, k: 7, q: 1}. What is prob of picking 1 q, 1 k, and 2 g?
3/260
Four letters picked without replacement from {k: 2, t: 4, w: 5, a: 1, f: 2}. What is prob of picking 4 t?
1/1001
What is prob of picking 1 c and 1 w when two letters picked without replacement from mmmcbmkkmwmmk?
1/78
Three letters picked without replacement from {o: 5, r: 1, h: 3, l: 1, u: 2, n: 1}. Give prob of picking 1 r, 1 l, and 1 n.
1/286
What is prob of picking 1 w and 1 e when two letters picked without replacement from {w: 5, a: 3, c: 2, e: 1, f: 1}?
5/66
Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {y: 1, d: 1, z: 5, v: 2}.
5/36
What is prob of picking 4 i when four letters picked without replacement from {z: 6, n: 2, i: 4, l: 3}?
1/1365
Two letters picked without replacement from wzzz. Give prob of picking 2 z.
1/2
What is prob of picking 2 c and 1 z when three letters picked without replacement from cczcccccccczzzcz?
55/112
Two letters picked without replacement from {b: 9, i: 2}. What is prob of picking 2 b?
36/55
What is prob of picking 2 q and 2 t when four letters picked without replacement from {u: 4, t: 7, q: 7}?
49/340
Calculate prob of picking 1 a, 1 c, and 1 m when three letters picked without replacement from aqmmcqwcvcqwqqcmmww.
16/969
Four letters picked without replacement from {l: 6}. Give prob of picking 4 l.
1
Two letters picked without replacement from {j: 7, u: 1, r: 10}. What is prob of picking 1 r and 1 j?
70/153
What is prob of picking 1 f and 1 w when two letters picked without replacement from {j: 2, f: 1, x: 1, u: 1, w: 2}?
2/21
Calculate prob of picking 3 p and 1 r when four letters picked without replacement from {p: 5, r: 2}.
4/7
What is prob of picking 1 w, 1 o, and 2 l when four letters picked without replacement from {o: 1, l: 3, w: 2, f: 1}?
6/35
Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {w: 2, l: 6, e: 10}.
20/51
Three letters picked without replacement from qqqqnqnqqqqqnnqnqqq. What is prob of picking 2 n and 1 q?
140/969
What is prob of picking 3 g when three letters picked without replacement from {k: 6, g: 7}?
35/286
Four letters picked without replacement from {j: 5, a: 9}. Give prob of picking 4 a.
18/143
Two letters picked without replacement from {b: 7, c: 2, i: 2}. Give prob of picking 1 i and 1 c.
4/55
What is prob of picking 2 j when two letters picked without replacement from wjjjjiuemiue?
1/11
Calculate prob of picking 1 w and 1 u when two letters picked without replacement from uuzuxzuwzu.
1/9
What is prob of picking 1 f and 3 k when four letters picked without replacement from {k: 3, f: 8}?
4/165
What is prob of picking 1 q and 1 v when two letters picked without replacement from {k: 1, q: 1, v: 2}?
1/3
Three letters picked without replacement from {d: 2, q: 3, n: 3}. Give prob of picking 2 d and 1 q.
3/56
Three letters picked without replacement from bbooooooobooooo. Give prob of picking 3 o.
44/91
What is prob of picking 2 k when two letters picked without replacement from {m: 1, k: 4, b: 7, v: 1, z: 2}?
2/35
What is prob of picking 1 l and 1 j when two letters picked without replacement from njebdldej?
1/18
What is prob of picking 2 m when two letters picked without replacement from mmrrmmrmmrrrrrmr?
7/40
Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {p: 3, r: 2, k: 4}.
1/6
What is prob of picking 2 u and 1 c when three letters picked without replacement from xxluhluuoooxuuluc?
3/136
What is prob of picking 1 a, 2 o, and 1 b when four letters picked without replacement from {o: 3, v: 5, b: 2, a: 7}?
3/170
Calculate prob of picking 2 x when two letters picked without replacement from {z: 2, x: 3}.
3/10
Calculate prob of picking 2 c when two letters picked without replacement from {p: 10, c: 10}.
9/38
What is prob of picking 1 a and 1 o when two letters picked without replacement from aaaaaaaaaaao?
1/6
What is prob of picking 1 u and 3 e when four letters picked without replacement from {k: 2, f: 6, u: 2, e: 3, n: 1, b: 1}?
2/1365
Three letters picked without replacement from rsereejrwwfjff. Give prob of picking 1 r, 1 j, and 1 w.
3/91
Two letters picked without replacement from {i: 1, v: 1, z: 1, r: 2, q: 1, d: 1}. Give prob of picking 1 i and 1 q.
1/21
Calculate prob of picking 2 e and 1 i when three letters picked without replacement from {e: 9, i: 3}.
27/55
Calculate prob of picking 3 a and 1 b when four letters picked without replacement from aaaaaaaabaabbaabbba.
143/323
What is prob of picking 1 p and 1 a when two letters picked without replacement from pagdvuuaauad?
2/33
Two letters picked without replacement from {l: 2, o: 1, f: 4}. What is prob of picking 1 l and 1 o?
2/21
What is prob of picking 3 h when three letters picked without replacement from {h: 17, m: 1}?
5/6
Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {r: 1, g: 2, m: 4, j: 2}.
2/9
What is prob of picking 2 j when two letters picked without replacement from {h: 15, j: 3}?
1/51
Three letters picked without replacement from ekickekekaik. What is prob of picking 1 a, 1 k, and 1 i?
1/22
Two letters picked without replacement from {v: 1, j: 12}. What is prob of picking 1 v and 1 j?
2/13
Four letters picked without replacement from lxxllxlxxxlx. What is prob of picking 1 l and 3 x?
35/99
What is prob of picking 1 j and 1 n when two letters picked without replacement from {n: 2, c: 1, d: 1, j: 2, l: 2}?
1/7
Calculate prob of picking 2 t when two letters picked without replacement from {w: 4, m: 2, o: 2, t: 3}.
3/55
Calculate prob of picking 1 i and 2 f when three letters picked without replacement from hnnffif.
3/35
Calculate prob of picking 1 x and 3 j when four letters picked without replacement from djjjsdx.
1/35
What is prob of picking 1 b and 1 y when two letters picked without replacement from {d: 2, e: 1, b: 2, y: 1, s: 1}?
2/21
Four letters picked without replacement from fffacaffffffcff. G | {
"pile_set_name": "DM Mathematics"
} |
25 = 0, 4*m = -20. What are the prime factors of a?
2, 5
Let v = -3 + 7. Suppose -3*i = -2*w + 6*w + 1, 5*i + 23 = v*w. List the prime factors of w.
2
Suppose -v - 3*v + 5*y + 222 = 0, 0 = v + 2*y - 49. List the prime factors of v.
53
Let v = 53 + -35. Suppose d = -2*d + v. List the prime factors of -3*d/(1 - 3).
3
Suppose 12*k = -248 + 2576. What are the prime factors of k?
2, 97
Let m be (-2)/(0 - 1) + 2. Let a(y) = -8*y - y**2 - 1 - m - 1. What are the prime factors of a(-6)?
2, 3
Let x = -33 - -22. Let f = x - -23. List the prime factors of f.
2, 3
Let w be -1 - 12/(3*-1). Let j(d) = d**2 - d - 4. Let b be j(w). Suppose 5*o - 33 = -3*c, -o + 4*c + 0 + b = 0. List the prime factors of o.
2, 3
Suppose -i = -8 - 3. List the prime factors of i.
11
Let v = 69 - -101. What are the prime factors of v?
2, 5, 17
Let j(s) = -s**2 - 12*s - 6. Let o be -2 + 2 + 6/(-1). Let k be j(o). Suppose -u - 9 = -2*f, 0*f + k = 4*f + 2*u. List the prime factors of f.
2, 3
Let y = 539 - 349. What are the prime factors of y?
2, 5, 19
Suppose 2*s + 50 = 166. List the prime factors of s.
2, 29
Suppose q + 54 = 3*g, 5*g + 5*q - 35 - 75 = 0. Let f = g - -2. What are the prime factors of f?
3, 7
Let p = -40 + 51. List the prime factors of p.
11
Let f = 2 + 32. What are the prime factors of f?
2, 17
Let y(a) = 9*a. What are the prime factors of y(3)?
3
Let f(q) = q - 1 - 5*q + 2*q. What are the prime factors of f(-4)?
7
Suppose 0 = -0*c + 3*c - 42. Let d be (-8)/(-28) - (-66)/c. Suppose -2*l + d*l = 9. List the prime factors of l.
3
Let n(b) = -b - 3. Let q be n(-8). What are the prime factors of 0 - 2 - (-5 - q)?
2
Suppose -2*j + 50 = -78. Suppose 0*w = -4*w + j. List the prime factors of w.
2
Let x(w) = -w**3 - 12*w**2 - 17*w - 15. Let t be x(-11). Suppose n - 9 = -a, 0 = -0*a - 4*a - n + t. List the prime factors of a.
2, 7
Let b be (-2 - -4) + 6/2. Let k(z) = -z**2 + 6*z + 7. List the prime factors of k(b).
2, 3
Suppose 9*q + 89 = 2*g + 4*q, 3*g + 4*q = 99. List the prime factors of g.
37
Let m = -1 + 15. Let j = -6 + m. List the prime factors of j.
2
Let y = 10 + -4. Let t(g) = g + 5. List the prime factors of t(y).
11
Let v = 319 - 202. List the prime factors of v.
3, 13
Suppose 2*b - 132 = -2*b. Suppose k + 25 = 6*k. Suppose -62 - b = -k*j. What are the prime factors of j?
19
Suppose 3*s + j = 9 + 6, -s + 3*j - 5 = 0. Let x(c) = 2*c - 6. Let v be x(s). Suppose 22 = v*u - 0*u. List the prime factors of u.
11
Let g = 3 - -1. Suppose 3*o - 23 = 2*o - 5*v, -4*o + 60 = g*v. List the prime factors of o.
13
Let o be 1/2*(-2 - -2). Suppose o = 2*d - 0*d - 64. List the prime factors of d.
2
Let u = -9 - -11. Suppose a = 5, -5*a = -3*p + u*p - 4. List the prime factors of p.
3, 7
Let f = -16 - -300. What are the prime factors of f?
2, 71
Let b = -3 - -8. Suppose b*y - 44 + 14 = 0. Suppose y = 3*g - 0*g. List the prime factors of g.
2
Suppose -512 - 672 = -8*s. List the prime factors of s.
2, 37
Suppose 0*z - 4*z + 20 = 0. Suppose -43 = -z*l + y, 2*y + 16 + 6 = 2*l. List the prime factors of l.
2
Let d(w) = 4*w**2 + 4*w - 4. Let f be d(-4). Let t be (116/6)/(14/3 + -4). Let b = f - t. What are the prime factors of b?
3, 5
Let t be (1/(-2) - 0)*0. Suppose -2*g + 5*g - 93 = t. List the prime factors of g.
31
Suppose 2*s = 2 + 2. Suppose 3*f - 5*a = 30, -4*a + 1 + s = 3*f. Suppose 4 = 5*u + 14, -f*k = -3*u - 21. List the prime factors of k.
3
Suppose -x - 21 = -3*t + 2*x, 5*x + 23 = t. Let k(p) = 5*p + 23. Let j(z) = 2*z + 8. Let u(b) = 11*j(b) - 4*k(b). What are the prime factors of u(t)?
2
Suppose -3*v = -4*v + 37. What are the prime factors of v?
37
Let m(p) = -3*p**3 + 3*p**2 + 3*p + 1. List the prime factors of m(-3).
2, 5
Let n(b) = 1. Let f(s) = s - 15. Let t(l) = -f(l) - 2*n(l). List the prime factors of t(0).
13
Suppose -w = w. Suppose -2*x + 3*x - 2*u - 54 = w, -3*x + 3*u + 156 = 0. Suppose 2*p + x = 7*p. List the prime factors of p.
2, 5
Let b(c) = c**3 - 7*c**2 + 6*c + 5. List the prime factors of b(7).
47
Suppose -5*h + 24 = h. Suppose 0 = h*y + 3*k - 242 + 84, -2*k = -3*y + 110. What are the prime factors of y?
2, 19
Let z(g) = -g + 12. Let f be (-1)/(-2 - -3) + 4. Suppose 5*v + f*q - 11 = 17, -q = v - 6. What are the prime factors of z(v)?
7
Suppose 0*k + 22 = r + 5*k, -r = 2*k - 22. Suppose 58 = x + r. List the prime factors of x.
2, 3
Let o(b) = b + 29. What are the prime factors of o(0)?
29
Let r(k) = -2*k**2 + 2*k + k**3 - 2*k**3 - 2 - k**3. What are the prime factors of r(-3)?
2, 7
Let p = 82 + 56. List the prime factors of p.
2, 3, 23
List the prime factors of 1 - 3*(-29 + -3).
97
Let c(g) = g**3 - 5*g**2 + g. List the prime factors of c(5).
5
Suppose -p + 41 = -8. What are the prime factors of p?
7
Let g be (0 + 9)*2/3. Let f(u) = -u + 10. Let n be f(g). Suppose n*m - 15 = m. List the prime factors of m.
5
Let y be 49 + 8 - (-3)/1. Suppose -i = 5*q + 2*i + y, 0 = -3*i. What are the prime factors of q/(-8) - 27/(-6)?
2, 3
Suppose -15 = o + 3*u, 0 = -2*o - 3*u + 6 - 21. Suppose 7*s - 4*s - 12 = o. What are the prime factors of s?
2
Let j(d) = -d**2 + 885. Let y be j(0). Let x be y/(-33) + (-4)/22. Let l = -15 - x. What are the prime factors of l?
2, 3
Suppose -277 - 257 = -3*k. What are the prime factors of k?
2, 89
Let i = -18 - -11. Let s = -3 - i. Suppose 5*t + 2*u - 20 = 0, 0*u + 16 = 4*t - s*u. What are the prime factors of t?
2
Suppose 3*m - 4*r = -2*m + 155, 0 = -2*m + 3*r + 69. List the prime factors of m.
3
Let s = 10 - 7. Suppose s*b - 12 = b. What are the prime factors of b?
2, 3
Let k = 50 + -36. Let g = -10 + k. List the prime factors of g.
2
List the prime factors of (-1278)/(-63) + 2/(-7).
2, 5
Let t be (0*3/9)/(-2). Suppose 5*u - 3*a - a = t, -u - 2*a = -14. Suppose u*i = 19 + 1. What are the prime factors of i?
5
Suppose 52 = 6*g - 8. What are the prime factors of (-284)/(-6) - g/(-15)?
2, 3
Let k = -173 - -361. List the prime factors of k.
2, 47
Suppose 2*p = -0*p - 36. What are the prime factors of 10/(-4)*p/15?
3
Suppose -5 = -5*n + 5. Suppose 0*g - n*g = 0. List the prime factors of 2*(8 + 1 - g).
2, 3
Let f(c) = 8*c + 4. Let v be f(-3). What are the prime factors of (-5)/v - (-150)/8?
19
Suppose 0 = 4*z + 156 + 260. What are the prime factors of 3/(-3*4/z)?
2, 13
Suppose 2*b + 2 + 2 = 2*c, 4*c - 5*b = 9. Suppose -h = -c - 7. What are the prime factors of h?
2
Let w(i) = i. Let a(s) = s + 1. Let v be a(4). Let x be w(v). Let d = 9 - x. List the prime factors of d.
2
Let w(x) = -x**3 - 11*x**2 - 11*x + 8. Let h be (18/(-45))/((-1)/(-25)). What are the prime factors of w(h)?
2, 3
Let t be (0*(-3)/9)/1. What are the prime factors of -4*(1 + -2 + t)?
2
Suppose -2*k = -1 - 7. Let w(z) be the first derivative of z**4/4 - 2*z**3/3 - 5*z**2/2 + 6*z - 2. What are the prime factors of w(k)?
2, 3
Suppose -263 = -2*u - 2*j + 5*j, -j = -3*u + 391. What are the prime factors of u?
2, 5, 13
Suppose -6*a + 214 = -914. What are the prime factors of a?
2, 47
Let f(b) = -b**3 + 3*b**2 - 2*b + 3. Let r be f(2). Suppose -4 = -d + r. Suppose -d - 26 = -3*q. What are the prime factors of q?
11
Let l = 13 - 7. Suppose -5*s + l = 4*h - 54, -3*h - 2*s = -52. What are the prime factors of h?
2, 5
Let i(j) = -j**3 + 3*j**2 - 2*j. Let n be i(2). Suppose n = 2*r - 3*m - 16, -6*m = -2*r - 4*m + 12. What are the prime factors of r?
2
Let t(x) = -x**3 + 15*x**2 - x + 18. Let k be t(15). Suppose 0 = y + k - 24. What are the prime factors of y?
3, 7
Let g be 0 + 5/1*8. Suppose 3*n - g = -2*r, -r + 3*r = 3*n + 28. What are the prime factors of r?
17
What are the prime factors of 1 + -5 + 3 + 52?
3, 17
Suppose 5 = -5*i, c - 15 = -2*c - 3*i. Suppose u + 0*u = 2*l - 16, 2*l + 4*u - c = 0. What are the prime factors of l?
7
Let n = 139 - 127. Let r = 8 + -12. Let g = n + r. List the prime factors of g.
2
List the prime factors of -1*((-9)/2 + 4)*108.
2, 3
Let w = 23 - 16. Suppose 0 = -3*f + n + w, n + 5 = 5*f - 4*n. Suppose 0 = 2*q + f*z - 25, 0*z + 6 = 2*z. What are the prime factors of q?
2
Suppose -6*p + 9 + 117 = 0. List the prime factors of p.
3, 7
Let x(k) = k**2 + k + 1. Suppose 4*g = -5*v - 36, -5*v - 4 - 12 = -g. What are the prime factors of x(g)?
13
Let u(z) = -z**3 + 9*z**2 - 8*z + 7. Let g be 56/6*15/5. Suppose 15 + 6 = 2*m - y, -4*y = -m + g. What are the p | {
"pile_set_name": "DM Mathematics"
} |
without replacement from {e: 12, n: 6}?
1/51
Calculate prob of sequence jz when two letters picked without replacement from {b: 1, i: 1, r: 2, z: 1, j: 4}.
1/18
Calculate prob of sequence ai when two letters picked without replacement from iiawdaaauiu.
6/55
Two letters picked without replacement from {g: 5, q: 3}. Give prob of sequence gq.
15/56
Two letters picked without replacement from {l: 1, k: 3}. Give prob of sequence kl.
1/4
Four letters picked without replacement from {l: 5, w: 1, j: 1, k: 1, v: 2}. What is prob of sequence vwlj?
1/504
What is prob of sequence htdc when four letters picked without replacement from chhthtthtjed?
2/1485
Two letters picked without replacement from {t: 11, a: 3}. What is prob of sequence tt?
55/91
Two letters picked without replacement from qlfyvgv. Give prob of sequence vf.
1/21
What is prob of sequence jh when two letters picked without replacement from cggtghthjgtgtgjg?
1/60
Four letters picked without replacement from {o: 7, b: 1, w: 3, z: 3}. Give prob of sequence ozbw.
3/1144
What is prob of sequence ggg when three letters picked without replacement from gffgg?
1/10
Two letters picked without replacement from cggtggggtgtggttggggg. What is prob of sequence cg?
7/190
Four letters picked without replacement from {a: 2, c: 2, k: 6, x: 8}. What is prob of sequence kaxa?
1/765
What is prob of sequence ss when two letters picked without replacement from occcycbcoyossoccy?
1/136
What is prob of sequence ppp when three letters picked without replacement from {f: 1, p: 11}?
3/4
Three letters picked without replacement from {p: 1, s: 2, c: 7}. What is prob of sequence ccs?
7/60
Calculate prob of sequence zz when two letters picked without replacement from {u: 4, z: 4, w: 1, p: 1}.
2/15
Three letters picked without replacement from ucsuisdccc. Give prob of sequence ssu.
1/180
Three letters picked without replacement from {s: 3, t: 1}. What is prob of sequence sts?
1/4
Calculate prob of sequence cxoj when four letters picked without replacement from jocpejx.
1/420
What is prob of sequence mn when two letters picked without replacement from nmnnnnnn?
1/8
Two letters picked without replacement from qqevzyyqzeqv. What is prob of sequence vq?
2/33
Two letters picked without replacement from epereppjefbe. What is prob of sequence jr?
1/132
What is prob of sequence cpcd when four letters picked without replacement from {d: 3, p: 4, c: 4, y: 4}?
2/455
Calculate prob of sequence oofy when four letters picked without replacement from mrorfymffcmyoyfr.
1/1820
Three letters picked without replacement from fffffff. What is prob of sequence fff?
1
What is prob of sequence xsx when three letters picked without replacement from {s: 1, x: 2, m: 2, i: 1}?
1/60
Two letters picked without replacement from ipfii. What is prob of sequence fi?
3/20
Calculate prob of sequence fxzf when four letters picked without replacement from {f: 4, z: 1, x: 2}.
1/35
Three letters picked without replacement from gggnggnggngnggrgn. Give prob of sequence grn.
11/816
What is prob of sequence kkk when three letters picked without replacement from {n: 1, k: 3}?
1/4
Two letters picked without replacement from {s: 5, j: 3, r: 4}. Give prob of sequence rs.
5/33
What is prob of sequence xnxs when four letters picked without replacement from {m: 1, u: 2, s: 7, x: 3, n: 4, y: 1}?
7/3060
Two letters picked without replacement from gmhuhugfmhmhhmmhgguu. Give prob of sequence hm.
3/38
Three letters picked without replacement from nndddnnnnnnnnn. Give prob of sequence ndn.
55/364
Two letters picked without replacement from ggtgtqgtgqgggwcgg. Give prob of sequence qc.
1/136
Three letters picked without replacement from ccccmcmcc. Give prob of sequence ccc.
5/12
Two letters picked without replacement from eheehueheeueeeeueueh. What is prob of sequence ue?
12/95
Calculate prob of sequence hll when three letters picked without replacement from {h: 3, l: 5}.
5/28
Calculate prob of sequence ak when two letters picked without replacement from qqkaazxqkzqaazkz.
1/20
Calculate prob of sequence wmmm when four letters picked without replacement from {w: 1, m: 12}.
1/13
Calculate prob of sequence dt when two letters picked without replacement from tttdddt.
2/7
Two letters picked without replacement from hxhx. What is prob of sequence xx?
1/6
Three letters picked without replacement from {n: 1, b: 1, l: 1, m: 5, j: 2}. What is prob of sequence mnb?
1/144
Calculate prob of sequence vvrm when four letters picked without replacement from zmvmzrvzzvzrrzk.
1/910
Calculate prob of sequence oh when two letters picked without replacement from {o: 1, h: 1, j: 1, c: 1, t: 2, a: 1}.
1/42
Two letters picked without replacement from {g: 5, o: 3, f: 2, y: 1, a: 1, j: 1}. Give prob of sequence ag.
5/156
Three letters picked without replacement from {b: 5, z: 6, f: 1, a: 2, t: 2, n: 1}. Give prob of sequence bfb.
1/204
Three letters picked without replacement from {k: 3, s: 1, j: 1}. What is prob of sequence kjk?
1/10
What is prob of sequence oja when three letters picked without replacement from {o: 1, a: 5, z: 2, s: 1, j: 1}?
1/144
Calculate prob of sequence anx when three letters picked without replacement from aapnpxpyaynyxnnyxyy.
2/323
Calculate prob of sequence xrrx when four letters picked without replacement from {x: 7, r: 3}.
1/20
What is prob of sequence gg when two letters picked without replacement from {g: 2, w: 2}?
1/6
Four letters picked without replacement from kqqqqqqkqkqqqkqk. What is prob of sequence qqqq?
33/182
Calculate prob of sequence vzvz when four letters picked without replacement from jvjzvz.
1/90
Three letters picked without replacement from uuuuu. Give prob of sequence uuu.
1
What is prob of sequence ycct when four letters picked without replacement from ccqtlcllyqctltlycl?
1/612
Calculate prob of sequence aea when three letters picked without replacement from {p: 1, e: 7, a: 2}.
7/360
Four letters picked without replacement from yxsssyyss. What is prob of sequence xsys?
5/252
Three letters picked without replacement from {o: 8, j: 2, f: 5}. What is prob of sequence jjo?
8/1365
Two letters picked without replacement from mmmeeemmmm. What is prob of sequence em?
7/30
Calculate prob of sequence mj when two letters picked without replacement from {m: 2, j: 6, i: 6, l: 1, b: 2}.
3/68
What is prob of sequence osm when three letters picked without replacement from soseme?
1/60
What is prob of sequence zwz when three letters picked without replacement from {z: 9, w: 1, d: 1, i: 3}?
3/91
Two letters picked without replacement from {z: 1, q: 1, a: 14}. What is prob of sequence az?
7/120
What is prob of sequence exfd when four letters picked without replacement from ndexf?
1/120
Three letters picked without replacement from {f: 4, l: 8, k: 1}. What is prob of sequence flk?
8/429
Calculate prob of sequence moym when four letters picked without replacement from {y: 2, m: 5, i: 2, o: 4}.
4/429
Four letters picked without replacement from wwwwwwwwww. Give prob of sequence wwww.
1
Two letters picked without replacement from {f: 1, t: 1, x: 4, h: 3, g: 2}. What is prob of sequence xg?
4/55
Three letters picked without replacement from ztzztzztzztztttttzt. What is prob of sequence ztz?
40/323
Four letters picked without replacement from {d: 2, x: 2, q: 1, s: 6}. Give prob of sequence sqdx.
1/330
Calculate prob of sequence eeq when three letters picked without replacement from {t: 4, q: 3, e: 7}.
3/52
What is prob of sequence bbbg when four letters picked without replacement from gggbbgbbgg?
1/35
Calculate prob of sequence mmp when three letters picked without replacement from mpmpm.
1/5
Two letters picked without replacement from zxxxxzxzxzzx. What is prob of sequence zz?
5/33
Four letters picked without replacement from {i: 1, s: 2, d: 4, e: 1, c: 2}. What is prob of sequence dece?
0
Three letters picked without replacement from {z: 7, q: 2, x: 1}. Give prob of sequence qqz.
7/360
Four letters picked without replacement from iiivqvvvqqvqiqvsiviq. Give prob of sequence viqq.
7/646
What is prob of sequence fi when two letters picked without replacement from iwiwifiwawpwinni?
1/40
Calculate prob of sequence ll when two letters picked without replacement from {l: 11, m: 2}.
5 | {
"pile_set_name": "DM Mathematics"
} |
(s) = -373*s - 11564. Let g be u(-31). Let r(t) = -27*t - 3. Give r(g).
24
Let h(z) be the third derivative of 0*z + 1/12*z**4 + 0 - 106*z**2 - 5/3*z**3. Calculate h(6).
2
Let n(y) = -3*y + 5. Suppose 0 = -15*p + 13*p + 16. Suppose p = -3*z - 6*r + 4*r, 0 = -4*r - 16. Give n(z).
5
Let u(b) = 131642 - 10*b + 0*b**2 - 131632 + b**2. Determine u(9).
1
Let f(q) = 7*q**2 - 9*q + 5. Let p(s) = 5*s**2 - 7*s + 4. Let j(h) = -4*f(h) + 5*p(h). Let y be 2*(27/(-6) + 3). Let u be -1*1*y/3. Give j(u).
-2
Let r(d) = 142*d**3 - 145*d**3 + d + 18*d**2 - 17*d**2 + 7. What is r(2)?
-11
Let c be (((-1200)/(-135))/20)/(1/(27/(-6))). Let h(v) = -v. Let i(y) = -4*y**2 + 3*y + 2. Let x(m) = -6*h(m) - i(m). Give x(c).
8
Let w(x) = 20*x - 3. Let u = -5435 - -5435. Determine w(u).
-3
Let m = 11801 - 11806. Let k(b) = -4*b**2 - 7*b - 11. Determine k(m).
-76
Suppose 22*v + 142 + 504 = 382. Let t(j) be the third derivative of j**5/60 + j**4/2 + j**3/2 + j**2. Determine t(v).
3
Suppose 22*b = 12*b. Suppose 5*w - 5*r + 4*r = 26, -4*w - 2*r + 32 = b. Let t(k) = -3 + 3*k + 4*k + 14 - 8*k. Calculate t(w).
5
Let y(u) be the second derivative of -u**5/10 - 5*u**4/4 + u**3 - 7*u**2 + 772*u. Give y(-8).
2
Let n(g) = -56*g - 67*g + 115*g + 31*g**2 - 35*g**2 - g**3 - 55. Determine n(-5).
10
Let w(l) be the third derivative of l**5/60 - 5*l**4/8 + 3*l**3/2 + 1241*l**2. Give w(5).
-41
Let n(v) = v**3 - 13*v**2 + 3*v - 22. Let o be n(13). Let k = 32 - o. Suppose 5*g + 0 = -k. Let t(w) = -w - 4. Give t(g).
-1
Let u(c) = 9*c**2 + 102*c - 89. Let v(g) = 5*g**2 + 54*g - 45. Let b(h) = 6*u(h) - 11*v(h). What is b(15)?
6
Let b(p) = 3 + 2 + 1 - p**2 + 1260*p - 646*p - 627*p. Calculate b(-16).
-42
Let v(p) = -3*p. Let t = 43 - 40. Suppose -2*o - b = -9 - 16, o + t*b = 5. Let x = o + -17. What is v(x)?
9
Let f(z) = -1 + 5*z - z - 3*z. Suppose 5*v - 22 = 3*r, -5*v + 14 = -11*r + 10*r. Determine f(v).
1
Let v = -19 + 19. Suppose 0 = 5*r + 11 - 21. Let c(g) = -g**r + 19 - 14 - g - 12. Determine c(v).
-7
Let r be ((-3384)/(-1316))/(2/14). Let g(b) = -b**2 + 21*b - 21. Determine g(r).
33
Let c(b) = -3*b**3 - 6*b**2 + 5*b - 8 + 4*b**3 - b**2. Let d be 1608/10184 - (-222)/38. What is c(d)?
-14
Suppose -s - 8 = 4*d - 102, 0 = 5*s + d - 394. Let f = -79 + s. Let r be -3*(f/(-21) - 40/(-140)). Let v(o) = 3*o - 1. Calculate v(r).
-4
Let j(m) = -38*m - 90. Let f(o) = -4*o + 3. Let s(t) = -2*f(t) + j(t). Determine s(-3).
-6
Let k(m) = 74*m**2 - 21 - 153*m**2 + 80*m**2. Let z be k(4). Let g(y) = -y + 2 + 3 + 7*y - y**3 - 4*y**2. What is g(z)?
0
Suppose 0 = -14*b + 16*b - 40*b + 190. Let m(r) be the first derivative of 1/2*r**2 - 15 - b*r + 1/3*r**3. Calculate m(-4).
7
Let s(h) = -19*h - 10*h + 20*h - h**2 - 10 - 5. Calculate s(-9).
-15
Let b(o) = -14*o - 4. Let x(g) = -7*g - 2. Let n = 20 - 9. Let m(p) = n*x(p) - 6*b(p). Suppose -10 = -3*f + 3*a + 5, 4*a + 12 = 0. What is m(f)?
16
Let q(k) = -k**3 - 5*k**2 + 5*k + 3. Let h be 78/(-819) + 418/(-21). Let x be (48/(-80))/((-2)/h). What is q(x)?
9
Let q(g) = 61*g - 695. Let o(h) = 10*h - 111. Let i(b) = -38*o(b) + 6*q(b). Calculate i(5).
-22
Let s(o) = 35*o - 3. Let p(r) = -2*r**2 - 38*r - 179. Let a be p(-10). Give s(a).
32
Let m(j) = 28*j**3 - 6*j - 2*j + 3*j**2 + 27*j**3 - 10 - 54*j**3. Give m(-4).
6
Let z(t) = t**2 + 42*t + 338. Let h be z(-8). Let c(l) = -4 + 63*l + h*l - 134*l + 5. Calculate c(2).
-9
Suppose 0 = -33*d + 34*d - 2. Let r(u) = -3*u**2 + 1430*u - 1431*u + 6 - 2*u**d + u**3. Determine r(5).
1
Suppose 4*a = -5*w - 67, -2*a - 25*w + 30*w = 11. Let l(y) = 3*y - 27. Calculate l(a).
-66
Let p(s) be the second derivative of 59*s**3/3 - 351*s**2 + 53*s. Calculate p(6).
6
Let m(b) = 19*b**2 + 170*b - 8. Let x be m(-9). Let a be 1 - x/(-4) - (-2261)/(-532). Let k(i) = 1 + i**2 + i - 3 + 0*i**2. Determine k(a).
4
Suppose 0 = 7*a - 26*a + 38. Let z(f) = 3 - f**a - 2 + 4 - 3*f - 11 + 6*f. Give z(4).
-10
Let v(c) = 38*c + 9. Let l(i) = 21*i + 5. Let d(j) = -5*l(j) + 2*v(j). Determine d(-2).
51
Let z(a) = -4*a**2 + 40*a + 3. Suppose -3*b - 48 = -3*p, 0 = -75*p + 73*p - 2*b + 8. What is z(p)?
3
Let w(g) be the first derivative of 0*g**2 + 1/3*g**3 - 54 - 6*g. Give w(0).
-6
Let d(a) be the second derivative of -a**6/360 + a**5/10 - a**4/8 + 7*a**3/6 - a**2/2 + 37*a. Let j(n) be the second derivative of d(n). What is j(9)?
24
Suppose -18 = -3*s + m - 6*m, 5*s - 2*m - 30 = 0. Suppose 16*y + s = 17*y + o, 0 = y - 4*o + 19. Let t(z) = 8*z**2 - z. What is t(y)?
7
Let y(a) be the first derivative of a**4/4 + 10*a**3/3 - a**2/2 - 7*a - 10. Suppose j = -4*m - 45, 0 = 3*j + 15 - 0. Calculate y(m).
3
Let u be 351/54 + 1 + (-12)/8. Let z(h) = h - 1. Determine z(u).
5
Let k(x) = -x + 5. Let m be k(5). Let i(h) = 5 + m - h - 6. Let u(l) = 9*l - 168. Let b be u(19). Determine i(b).
-4
Let f(h) = -h - 22. Let s be (-408)/(-1496) + (-80)/11. Give f(s).
-15
Let j(n) = -5*n**2 - 4*n - 3. Suppose 0 = u - 3*u - 8. Let z(y) = -14*y**2 - 12*y - 8. Let l(v) = u*z(v) + 11*j(v). What is l(-5)?
4
Let c(w) = -25*w - 1. Let p(y) be the third derivative of -3*y**4/4 - 53*y**3/6 - 159*y**2. Let h be p(-3). Determine c(h).
-26
Let f(u) = 3*u - 3. Let z(b) = 39 - 50 + 5*b + 5. Let l(j) = 13*f(j) - 6*z(j). Determine l(2).
15
Suppose c + 5*m - 12 = 0, -44 = 3*c - 3*m - 62. Let h = -4 - -21. Let u(x) = -h*x + 18*x + c + 3. Calculate u(7).
17
Suppose -1093 + 8111 = 22*m. Let j = m + -327. Let a(w) = w - 6. Let z(x) = -6*x + 30. Let v(k) = -11*a(k) - 2*z(k). Determine v(j).
-2
Let b(o) = -180 - 9*o**2 - 159 + 8*o**2 + 317 - 6*o. Calculate b(-3).
-13
Let y(r) = 4*r**2 + 3*r + 4. Let c(g) be the first derivative of g**3 + 3*g**2/2 + 3*g + 96. Let l(n) = 6*c(n) - 5*y(n). Give l(2).
-4
Let k(t) = 2*t**3 - 2*t**2 - 1. Let a be (-16)/(-5) + (-8)/40. Suppose 5*q = -3*r - 12, 2*r - 5*r - q = 12. Let z be 6*r/(-36)*a. Determine k(z).
7
Let w(i) = -i - 7. Let d(j) be the first derivative of -j**3/3 - 2*j**2 + 52. Let o be d(-6). Determine w(o).
5
Let c(w) = w**3 - 9*w**2 + 13*w + 5. Suppose 2*s + 32 = 4*h, 9*h - 2*s + 10 = 11*h. What is c(h)?
-2
Let n(l) = 7*l**3 - 5*l**2 + 87*l + 87. Let z be n(-1). Let k(c) = -15*c - 155. Determine k(z).
25
Let l(j) be the first derivative of j**4/4 - 7*j**3/6 - 255*j**2/2 - 74. Let n(m) be the second derivative of l(m). Calculate n(0).
-7
Let b(o) = 4*o - 82. Suppose -7*h - 5*h = -4*h - 176. Give b(h).
6
Let n(p) = -5*p**2 - 37*p - 11. Let m be n(-7). Let i(d) = -2*d + 2*d + 32 - 34 + d + m*d. Give i(-1).
-6
Let w = 4886 - 4899. Let b(m) = -m**3 - 13*m**2 - m + 8. Determine b(w).
21
Suppose -35 + 409 = -2*t. Let j = t + 192. Let m(o) = o**3 - 5*o**2 - 3*o + 3. What is m(j)?
-12
Suppose 14 = -22*n + 80. Let t(r) = n*r**2 - 4*r + 6 - 24 + 19. Determine t(2).
5
Suppose -2*z - 5 = -5*u, -z - 4*u = -3*z - 2. Suppose 9*w - z = 4*w. Suppose 0 = 4*q + w + 3. Let h(c) = -6*c. What is h(q)?
6
Suppose 23*v = 30 + 85. Let n(o) be the third derivative of -o**7/5040 - o**6/360 - 3*o**5/20 - 2*o**2. Let q(g) be the third derivative of n(g). What is q(v)?
-7
Suppose 0 = -5*k + 5*w - 15, 3*w - 3 = -3*k + 5*k. Let o(f) = -13*f**2 - 5*f + 0*f - 122 + 62 + 61 + 5*f**2 + 7*f**2. Give o(k).
-5
Let p(w) = -5*w**2 + 12*w - 17. Let c(l) = -11*l**2 + 25*l - 34. Let z(j) = 3*c(j) - 7*p(j). What is z(8)?
73
Let j(a) be the first derivative of 3*a**4 + a**3/3 - a + 426. Suppose 5*h + 2*d - 8 = -3, -h = 3*d - 14. Give j(h).
-12
Let n(s) = -s**3 + 2*s**2 + 5*s - 13. Let u be n(-3). Let g(t) = u*t**3 - 14*t + 14*t + 8*t**2 - 7*t**2. Determine g(-1).
-16
Let p(k) = -k**3 - 3*k**2 - 3*k - 2. Suppose 4*m - 27 + 67 = -2*a, -2*a - 39 = 3*m. Let r(c) = 16*c + 285. Let u be r(a). Give p(u).
7
Let h(g) = 23*g**2 - 98*g + 177. Let c(n) = -7*n**2 + 33*n - 60. Let d(b) = 10*c(b) + 3*h(b). What is d(2)?
-1
Let r(a) be the third derivative of -a**5/60 + a**4/4 + 5*a**3/6 + 22*a**2 - 20*a. Give r(-3).
-22
Let m(i) = i**3 + 16*i**2 + 16*i + 30. Let y be m(-14). Let o = -198 + y. Let j(z) = 2*z**2 - z + 2. Calculate j(o).
2
Suppose -17*d + 15*d = -410. Let b(t) = -d*t + 101*t + 7 + 0 + 98*t. Calculate b(5).
-23
Let o(d) = d**3 + 15*d**2 + 25*d + 1. Suppose -21*m - 64 - 266 = -57. Give o(m).
14
Let q(n) = -5*n**2 - n. Let l(r) = 20*r**3 - 10*r**2 + 5*r + 7. Let u(p) = -l(p) + 2*q(p). Calculate u(-1).
20
Let v(b) | {
"pile_set_name": "DM Mathematics"
} |
345/(-55). Let h = v + -374. Is h a prime number?
False
Let y be 2/(4 - 15/4). Suppose s - y*s = 28. Is ((-15)/6)/(s/1208) composite?
True
Suppose -5*d + 87 = 3*l, 4*d = -l - 0*d + 36. Suppose 13 - 308 = -5*q. Let y = q - l. Is y a prime number?
False
Let f = 19 - 15. Suppose 0 = f*m - 7*m + 12. Suppose -m*d = -9*d + 35. Is d a composite number?
False
Let p(x) = 11*x. Let v(h) = -22*h - 1. Let f(m) = -5*p(m) - 3*v(m). Let n be f(4). Suppose 2*c - 2*o - 44 = 0, o + n = 3*c - c. Is c a composite number?
True
Suppose 2908 = 4*i + 4*l, -13*i + 18*i - l = 3611. Is i prime?
False
Let r = 48 + -48. Suppose -6*t + 1380 + 14274 = r. Is t composite?
False
Let i = 3 - 2. Let g be ((-1016)/20)/(i/(-5)). Suppose -2*n - 4*w = -g, 0 = n - 2*w - 178 + 47. Is n composite?
True
Let n(s) = 6*s**3 + 5*s**2 + 2*s + 13. Let c(p) = -p**3 + p**2 - p - 1. Let z(w) = 5*c(w) + n(w). Is z(-10) a composite number?
True
Let a be 5*4*4/16. Suppose -3*b - b + 5*j + 13 = 0, -5*b + 5 = a*j. Suppose -4*n + 0*x - b*x = -532, 512 = 4*n - 3*x. Is n a prime number?
True
Let t be 1/(-5) - (-26)/5. Suppose t*b - b - 1196 = 0. Suppose 4*h + m = b - 29, 3*h - 205 = -2*m. Is h prime?
True
Suppose -j = -5*p + 2852, 3*j + 11393 = -j + 5*p. Is j/(-7) + 2/7 a composite number?
True
Let z = -970 - -1758. Suppose 3*c - 451 = z. Is c a prime number?
False
Let u(v) = 270*v**3 - 7*v**2 + 7*v - 7. Is u(3) a composite number?
True
Let k be 2/(-10) + 88/(-10). Let n = k - 0. Is (-2009)/n + (-18)/81 prime?
True
Let a be 5*7/(35/(-4)). Let o be (6/a)/((-2)/4). Suppose -o*h = -79 - 890. Is h composite?
True
Let v = -5509 - -8030. Is v a composite number?
False
Let n be 1 - (-7)/(28/(-16)). Let z be n/(-4)*(-3 + 127). Suppose -4*p = -z - 91. Is p prime?
False
Let t(c) = 970*c + 121. Is t(5) composite?
True
Let a be 9/(-21) + 354/42. Let o(l) = -a*l - 1 + 31*l**2 - 8*l**2 + 5*l. Is o(-2) a prime number?
True
Let v = -4 + 6. Suppose -j - v*j + 230 = 2*g, -5*g + 302 = 4*j. Suppose 5*t + j = 413. Is t a prime number?
True
Let c = -7 + 13. Suppose -10*a = -c*a + 708. Let p = a - -380. Is p a prime number?
False
Suppose 12 = 4*h - 3*z - 2, -4*h - z + 6 = 0. Let f = 0 - -1. Is 0 - (h - 37)*f composite?
True
Let w be 7/(-35) - 7428/10. Is w*2/(-2 + 0) prime?
True
Let z be 10/(-55) - (-72)/33. Suppose 4*y = z*y. Is (-53)/(1 - (2 - y)) a prime number?
True
Let t = 518 - 225. Is t composite?
False
Suppose -10 = 3*v - 1. Is 164/52 + v + (-3729)/(-13) composite?
True
Is 10 + (-24968)/(-4)*2 composite?
True
Is 1/(4/24)*(-1931)/(-6) a composite number?
False
Let r be 2 - (0 - -2) - -9. Suppose 4*q + 1595 = r*q. Is q a prime number?
False
Let j(h) = 21*h + 1. Let p(d) be the first derivative of 105*d**2/2 + 5*d + 2. Let x(s) = 11*j(s) - 2*p(s). Is x(2) prime?
True
Let w = -13281 + 21379. Is w a prime number?
False
Suppose -3*w = -5*w + 1760. Let q be 9*10/(-15)*(-190)/4. Suppose 0 = -j + 2*y + q, -3*j - 4*y = -5*y - w. Is j composite?
True
Let i(m) = m**2 + 16*m + 5. Let f be i(-14). Let p be f*((-3)/(-1) + -4). Suppose h = p + 228. Is h a prime number?
True
Let i = 168 + -253. Let k = i + 208. Is k a prime number?
False
Let c be (-10)/(-3)*(-6)/5. Is 847/(-22)*c/7 a prime number?
False
Let j be 4/(-14) - 480/(-112). Let b be (j/((-16)/28))/(-1). Suppose -p = -b*p + 570. Is p a prime number?
False
Let h(c) = -c**3 - 9*c**2 - 8*c + 34. Is h(-9) prime?
False
Let u be 6/(-2) - -3 - -5. Let z(b) = 2 + 13 - 2*b + 0*b + b**3 - 2*b**3 - u*b**2. Is z(-7) a composite number?
False
Let g(q) = -12 - 54*q - 6 + 15. Let l be g(1). Let x = 103 + l. Is x a prime number?
False
Suppose h - 6 - 5 = p, 3*h - 4*p = 32. Is h/18*6147/6 composite?
False
Suppose 34*h - 2715320 = -944566. Is h a composite number?
False
Let n = 13366 - 9303. Is n a composite number?
True
Let x be (-4)/1 - (-6 - 2). Let d be ((-4)/(-5))/(x/20). Let y(i) = 64*i - 3. Is y(d) a composite number?
True
Suppose 2 = s - 4. Suppose 2*b + 14564 = s*b. Is b a composite number?
True
Let w(s) = 2*s**2 - 4*s - 9. Let b(l) = l**2 - 2*l - 4. Let g(p) = -9*b(p) + 4*w(p). Let x be g(1). Is (-109)/x*-1*1 a prime number?
True
Suppose -6*t - 2511 = -i, -2*i + 14*t + 5030 = 10*t. Is i prime?
False
Let d(h) = -16*h**3 + 34*h**2 - 19*h + 34. Let r(w) = 7*w**2 - 36*w - 3*w**3 + 7 + 0*w**2 + 32*w. Let a(k) = -2*d(k) + 11*r(k). Is a(7) composite?
True
Suppose 8*a = -10228 - 1588. Let l = -692 - a. Is l a prime number?
False
Suppose 8 = -5*t - 4*y, 3*y = -t - 5 - 1. Suppose t = 2*d - 362 - 992. Is d prime?
True
Let t be 1548/((-12)/(-3)) - -2. Let u = 14 + -32. Let q = t + u. Is q prime?
False
Let d = -2 - 2. Let j be 1/d - 3819/(-12). Suppose 0 = 5*o - r - 548, -4*o + 7*o = -3*r + j. Is o prime?
True
Let n(r) = -11*r - 15. Let a(t) = -33*t - 44. Let j(s) = 6*a(s) - 17*n(s). Let k be -6*(3 - 5/3). Is j(k) a prime number?
True
Is (1 - 2)*(7 + -10 + -9598) a prime number?
True
Suppose -3*l = -1 - 23. Let m = 13 - l. Let d(o) = 12*o - 14. Is d(m) composite?
True
Is ((-100918)/(-10))/((-4)/(-80)*4) prime?
True
Let b = 648 + -37. Is b a composite number?
True
Let t(w) = w + 9. Let z be t(-3). Let j(u) = 21*u**2 - 7*u - 8. Is j(z) a prime number?
False
Suppose 6 = -4*h + 18. Suppose -3*o + 5*o = -5*r + 1890, -5*o + 1115 = h*r. Suppose -4*k - 4*a = -0*k - r, 5*k - 477 = -4*a. Is k a prime number?
True
Suppose 3*g - 12329 = -2*l, -7*l + 5*g = -10*l + 18494. Is l a prime number?
True
Let a be -2 + 0/(-1) + (-12)/(-3). Suppose s - 664 = -3*b, b - 4*s = a*b - 225. Is b a composite number?
True
Is ((-8)/(-20))/(7/40985) composite?
True
Let v(j) = -j. Let y(x) = 32*x - 9. Let g(k) = -2*v(k) + y(k). Let w = 8 + 2. Is g(w) a prime number?
True
Suppose -3*j + y = -16820 - 519, -2*j - 5*y + 11548 = 0. Is j a prime number?
True
Suppose 18*w - 267980 - 86494 = 0. Is w prime?
False
Suppose 4*n - 2*n - t = 5, -n = 2*t - 15. Let b = n - 2. Suppose -w + 562 = 5*l, -b + 0 = w. Is l composite?
False
Let c(t) be the first derivative of 29*t**3/3 - 2*t**2 + 13*t - 23. Is c(-8) a prime number?
True
Let a be 12/(-3) - (1 - 7). Let u(i) = 80*i + 1. Is u(a) a prime number?
False
Suppose 4*c = 11 + 13. Let m(r) = r**3 - 9*r**2 - r + 4. Let u be m(c). Is (3/6)/((-5)/u) a prime number?
True
Suppose 30*j = 5*j + 19100. Let a(i) = -93*i**2 - 2*i - 1. Let g be a(-2). Let y = j + g. Is y a composite number?
True
Suppose 76 + 281 = 3*g. Suppose g = k - 104. Is k prime?
True
Let r = 62742 + -28159. Is r a prime number?
True
Suppose 7*y = 3*y - 120. Let r = 79 + y. Is r composite?
True
Suppose -5*n = 5*t - 8700, 2*n - 5*t - 1934 - 1511 = 0. Is n prime?
False
Suppose -n = -5 + 2. Let f = -5 - -10. Suppose f*c - 655 = -3*g, n*c - 5*g = c + 262. Is c composite?
False
Let d = -12805 - -18647. Suppose 7*t = d - 263. Is t prime?
True
Suppose -8 = -5*y + 3*y. Let m(v) = -30*v - 9. Let l(u) = u. Let j(q) = 3*l(q) - m(q). Is j(y) prime?
False
Let p(w) = 21*w**2 + 2*w + 63. Is p(-14) prime?
False
Is (-1)/((-15)/(-5)*(-3)/51309) prime?
True
Let a = -23 + 25. Suppose -y - 1 = 3, 4*y = a*p + 28. Is p/(44/(-12) - -3) composite?
True
Suppose -8*g - 2*a - 81 = -9*g, -g - 2*a + 97 = 0. Is g composite?
False
Suppose 4*i + 3 = f - 50, -4*f + 5*i = -179. Let h be f - -1*(2 - -1). Let b = h - 23. Is b a prime number?
False
Let s be 1/(-2) + (-1)/(-4)*-6. Let g = -62 + 31. Is (g/2)/(s/4) prime?
True
Let x = 2016 + -453. Is x composite?
True
Is 1*(-7)/((-35)/24995) composite?
False
Let k be -228*((-3)/1)/((-10)/(-45)). Let y = k - -3727. Is y composite?
True
Let m(l) = -5*l**2 - 2*l**3 - 27 + 2*l**2 - 17*l - 5*l**2 + 2*l**2. Is m(-10) a composite number?
False
Let y be -7 + -1 - (3 + -2). Let p(s) = -s - 5. Let w be p(y). Suppose 5*m = w*m + 3. Is m composite?
False
Let c be ((-125)/1)/((-4)/8). Suppose -4*g + 5 = 3*k - 190, 2*g = -4*k + c. Suppose 0 = 3*x + 2*v - 219, -4*v + k - 333 = -4*x. Is x a prime number?
True
Let n(z) = -25*z - 29. Let t be n(-13). Let y = t + 233. Is y prime?
False
Let a = 179 + -77. Suppose -z - 4*z = -2*z. Suppose z*t + 2*t = a. Is t prime?
False
Let i(t) be the third derivative of -t**6/60 - t**5/5 - t**4/8 + 7*t**3/6 + 8*t**2. Is i(-8) composite?
True
Let d(h) = 70*h**2 - 14*h - 109. Is d(-19) a prime number?
False
Suppose -118 = 2*a - 4*a. Suppose a = 3*l - 190. Is l composite?
False
Let a(b) = -10*b - 7 - 295*b - | {
"pile_set_name": "DM Mathematics"
} |
ve m(w(s)).
-2*s + 10
Suppose -2*z = -3*q - 22, 5*z + 3*q - 21 = 2*q. Let d(j) = z*j - 3*j + 0*j. Let c(s) = 3*s - 5*s + 4*s - 3*s. Calculate c(d(u)).
-2*u
Let z(v) = -6*v. Let q(u) = 3*u - 5264. Determine q(z(m)).
-18*m - 5264
Let h(o) = -2*o. Let s(d) be the second derivative of d**3/3 - 71*d**2/2 + 666*d. Calculate h(s(w)).
-4*w + 142
Let b(i) = -5*i. Let d(o) be the third derivative of 17*o**4/12 + 412*o**2. Calculate b(d(t)).
-170*t
Let z(l) = 170*l**2. Let u(v) = -7*v**2 + 5998 + 5*v**2 - 5998. What is z(u(m))?
680*m**4
Let c(x) = 32*x. Let v(j) = -31*j. Let q(u) = -2*c(u) - 3*v(u). Let a(z) = 47*z**2 - 22*z**2 - 26*z**2. Determine a(q(s)).
-841*s**2
Let o(h) be the first derivative of 18*h**2 + 5. Let i(y) = y - 1. Let m(t) = -t + 2. Let r(p) = -4*i(p) - 2*m(p). Give o(r(b)).
-72*b
Let j(w) = -22*w. Let t(s) = 24514*s**2. Give t(j(i)).
11864776*i**2
Let v(d) be the second derivative of d**4/4 + 2*d + 24. Let t(l) = 123*l - 2. Give t(v(g)).
369*g**2 - 2
Let k(s) = -965501*s. Let u(o) = -2*o**2. Determine u(k(l)).
-1864384362002*l**2
Suppose -6*z - 25 = -7. Let f(h) = -10*h**2 - 8*h - 8. Let d(j) = -3*j**2 - 3*j - 3. Let k(a) = z*f(a) + 8*d(a). Let p(l) = l. Give k(p(v)).
6*v**2
Let o(c) = 97*c**2 + 3. Let j(b) be the first derivative of -b**3/3 - 66. Determine j(o(f)).
-9409*f**4 - 582*f**2 - 9
Let u(j) = -4*j - 9. Let d(a) = a + 2. Let w(n) = 9*d(n) + 2*u(n). Let p(m) be the first derivative of -10*m**3/3 + 237. Give w(p(f)).
-10*f**2
Let r(a) = -69*a**2. Let l(c) = -2*c + 2*c + 188*c**2 - 189*c**2. What is r(l(z))?
-69*z**4
Let s(d) be the third derivative of -d**5/20 - 2*d**2. Let w(r) = -36*r. What is s(w(k))?
-3888*k**2
Let m(h) = -8*h**2. Let b(w) = 2994*w**2. Calculate b(m(c)).
191616*c**4
Let s be 2 - (-2 + 2 + 2). Let m(r) = 3*r - r + s*r. Let b(g) = -10*g**2 + 10*g + 5. Let c(h) = -h**2 + 2*h + 1. Let l(n) = b(n) - 5*c(n). Calculate l(m(i)).
-20*i**2
Let g(u) = 3*u**2 + 2*u. Let d(v) = -16*v**2 - 11*v. Let h(l) = -2*d(l) - 11*g(l). Let t(p) = -2*p**2 - 39. Calculate h(t(a)).
-4*a**4 - 156*a**2 - 1521
Let i(c) = 10*c + 11*c**2 + 13*c**2 - 10*c. Let g(b) = 2*b**2 + 3*b. Let d(t) = 3*t**2 + 4*t. Let l(n) = 3*d(n) - 4*g(n). Calculate l(i(m)).
576*m**4
Let c(n) = -10*n. Let j(u) = -6*u**2 - 11*u - 11. Let h(z) = -z**2 - 2*z - 2. Let y(x) = 33*h(x) - 6*j(x). What is y(c(s))?
300*s**2
Let x(w) = 307*w**2 - 81. Let k(n) = -n**2. Calculate x(k(i)).
307*i**4 - 81
Let i(k) be the first derivative of k**2 + k**2 - 19 + k**2 - 4*k**2. Let g(o) = 7*o. What is i(g(l))?
-14*l
Let z(o) = -13*o. Suppose 13*i = 3 + 23. Let u(d) = 15*d**2 - 25*d**i + 14*d**2. What is u(z(b))?
676*b**2
Let p(a) = 2*a + 2*a**2 - 2*a. Let c(m) = 193709*m - 387418*m + 193704*m. Determine c(p(d)).
-10*d**2
Let x(k) = 7*k. Let a(r) be the second derivative of r**6/180 - r**3/3 + 2*r**2 - 17*r. Let g(t) be the second derivative of a(t). What is x(g(q))?
14*q**2
Let f(k) be the first derivative of 0*k**2 + 23 + 7/3*k**3 + 0*k. Let m(b) = -b. Calculate m(f(d)).
-7*d**2
Let d(a) = 4*a. Let x = 1076 + -1076. Let k(f) be the third derivative of 3*f**2 - 1/20*f**5 + x*f + 0 + 0*f**4 + 0*f**3. What is d(k(u))?
-12*u**2
Let m(t) be the third derivative of -11*t**4/24 + 27*t**2. Let b(h) be the second derivative of -h**3/3 + 8*h. What is b(m(c))?
22*c
Let q(g) be the first derivative of -2*g**3/3 + 88. Let p(b) = 3*b**2 - 6*b. Give p(q(r)).
12*r**4 + 12*r**2
Let x(q) = -2*q. Let v(d) = d. Let j(z) = -v(z) - x(z). Let t(o) = o + 8. Let s be t(-6). Let c(l) = 9*l**s + 5*l**2 + 3*l**2 + 4*l**2. Calculate j(c(f)).
21*f**2
Let j(i) = -3*i**2. Let h(s) = -7*s + 30. Let c(w) = 16*w - 52. Let n(r) = 2*c(r) + 5*h(r). What is n(j(x))?
9*x**2 + 46
Let y(u) be the second derivative of 1/4*u**4 + 0 + 0*u**2 - 7*u + 0*u**3. Let a(q) = -3*q. Let i(h) = -h. Let x(b) = a(b) - 6*i(b). Calculate y(x(l)).
27*l**2
Let y(j) = -2*j. Let q(m) be the third derivative of -19*m**4/12 + 66*m**2. What is q(y(u))?
76*u
Suppose 3*k - 3 = -5*s, 5*s + 21 = -3*k + 4*k. Let l(q) = 22*q + 4*q**2 - k*q**2 - 23*q. Let g(m) = m**2. Calculate l(g(r)).
-2*r**4 - r**2
Let x(b) = -234 - 244 + 478 - 411*b**2. Let w(h) = h. Determine w(x(s)).
-411*s**2
Let v(x) = x**2. Let q be (0 - 3 - -2) + (-10 - -13). Let w(s) = s - 21*s**2 + 7*s**q - s. Calculate v(w(u)).
196*u**4
Let l(w) be the third derivative of w**4/24 + 2*w**2 + 68*w. Let d(o) = -2*o - 240. Give d(l(n)).
-2*n - 240
Let g(a) = a. Let x(p) be the second derivative of -p**4/6 - 5*p**3/6 + 48*p. Let o(n) = -10*g(n) - 2*x(n). Let h(r) = -25*r. Determine o(h(v)).
2500*v**2
Let y(r) = 2*r - 48. Let m(o) = 73*o + 5. Give y(m(a)).
146*a - 38
Let o(l) = 3244*l. Let x(r) = 68*r**2 - 1. Determine x(o(a)).
715600448*a**2 - 1
Let g(d) = -2*d**2. Let u(a) = 57240*a - 57240*a - 256*a**2. Give u(g(q)).
-1024*q**4
Let j(u) = 5*u**2. Let a(s) = 2*s**3 - s + 1. Let h be a(1). Let k(z) = z + 4*z - h*z. What is k(j(b))?
15*b**2
Let x = -638 + 638. Let b(t) be the second derivative of x*t**2 - 1/6*t**3 + 0 + 6*t. Let v(h) = -3*h**2. Give b(v(o)).
3*o**2
Let g(a) = 4*a. Let i(d) be the second derivative of -98*d**3/3 - d**2/2 + 664*d. What is g(i(l))?
-784*l - 4
Let p(k) = 52*k**2 - 68*k + 17. Let o(c) = -17*c**2 + 24*c - 6. Let t(s) = -17*o(s) - 6*p(s). Let r(a) = 7*a**2. What is r(t(b))?
3703*b**4
Suppose 36 = 16*b - 28. Suppose 0 = -3*i + 3*s - 9, 4*i + 4 = 2*s + 2. Let q(t) = -2*t + t + b*t + i*t. Let u(l) = 3*l**2. Determine u(q(k)).
75*k**2
Let c(u) = -291*u**2 - 1. Let b(k) = -47*k - 1. Give c(b(t)).
-642819*t**2 - 27354*t - 292
Let c(t) = -2*t**2. Suppose -11 = -2*b - 5. Suppose b*x + 2*x = 0. Let v(i) = 0*i + x*i + 2*i. Determine c(v(g)).
-8*g**2
Let c(t) = 37*t**2 - 2*t. Let x(k) = -2*k + 2557. What is x(c(p))?
-74*p**2 + 4*p + 2557
Let m(s) = 16*s**2. Let z(d) = -402*d**2 + 1. Determine z(m(j)).
-102912*j**4 + 1
Let f(p) = -p. Let y(q) = -2*q**2 + 5*q. Let u(z) = -3*z**2 + 9*z. Suppose -7*x - 24 = 11. Let b(m) = x*u(m) + 9*y(m). What is f(b(g))?
3*g**2
Let q(j) = 1491*j + 1484*j - 2971*j. Let a(c) = 55*c. Determine q(a(f)).
220*f
Let a(w) = w**2 + 9*w + 5. Let s be a(-14). Let y(b) = -157*b + s*b + 93*b. Let z(g) = g**2. Determine y(z(l)).
11*l**2
Let u(c) = c**3 - 7*c**2 - 6*c + 42. Let s be u(7). Let n(k) be the second derivative of s + 1/3*k**3 + 0*k**2 + 6*k. Let l(d) = -d. Calculate l(n(p)).
-2*p
Let r(c) = -c + 4. Let q(f) be the first derivative of f**2/2 + 375. What is r(q(v))?
-v + 4
Let h(o) = 14*o - 8. Let b(f) = 9*f - 5. Let z(y) = -8*b(y) + 5*h(y). Let n(u) = -144*u. Give n(z(g)).
288*g
Let v(n) = 3*n**2. Let d(f) = 21901*f**2 - 726. Let j(u) = -121*u**2 + 4. Let q(c) = -2*d(c) - 363*j(c). Calculate v(q(o)).
43923*o**4
Let a(t) = -31*t. Let v(i) be the second derivative of 0*i**2 + 2 + 1/3*i**3 - 17*i. Give v(a(h)).
-62*h
Let u(v) = 6155*v**2. Let o(h) = 23*h + 1. Calculate o(u(n)).
141565*n**2 + 1
Let d(r) be the first derivative of -2*r**3/3 - 7*r**2/2 + 66. Let h(a) = 6*a**2. Calculate d(h(i)).
-72*i**4 - 42*i**2
Let h(s) = -s + 287. Let m(y) = 48*y**2. Determine h(m(n)).
-48*n**2 + 287
Let v(d) = 5*d**2. Let c(k) = -34031*k - 1. Give v(c(t)).
5790544805*t**2 + 340310*t + 5
Let p(o) = o. Let x(t) = -2*t. Let l(m) = 10*p(m) + 6*x(m). Let j(b) = b + 3. Let i(w) = -1. Let v(h) = 3*i(h) + j(h). What is l(v(a))?
-2*a
Let b(v) = -13*v - 1. Let t(j) = -2*j**2 - 5*j. Suppose -8*d = d + 45. Let u(l) = 2*l**2 + 4*l. Let x(h) = d*u(h) - 4*t(h). Give x(b(y)).
-338*y**2 - 52*y - 2
Let k(c) = -124334*c**2. Let r(o) = -10*o**2. Determine r(k(s)).
-154589435560*s**4
Let q(c) = c**2 - 2*c**2 + 2*c**2 + 0*c**2. Suppose 3 = i, i = -0*z + 5*z - 7. Let d(p) = 4*p**2 - 8*p**2 + 5*p**2 + z*p**2. Give q(d(b)).
9*b**4
Let o(c) = 4*c**2 + 40. Let s(t) = -2*t**2 - 21. Let k(a) = -6*o(a) - 13*s(a). Let u(i) = 3*i. Give k(u(d)).
18*d**2 + 33
Let j(q) = -2*q. Let g(s) = -s**2 + s + 1. Let f be (-3 - -4)/((-3)/3). Let y(a) = -12*a**2 + 3*a + 3. Let v(x) = f*y(x) + 3*g(x). Calculate v(j(o)).
36*o**2
Let d(h) = 6*h**2 - 3*h + 3. Let i(z) = -6*z**2 + 2*z - 2. Let p(q) = -4*d(q) - 6*i(q). Let m(l) = 6*l. Calculate p(m(c)).
432*c**2
Let x(f) = 11*f. Let h(l) = -2435*l**2. What is h(x(y))?
-294635*y**2
Let l(h) = 77*h - 25. Let k be l(5). Let p(c) = -k + 176 + 184 - 4*c. Let x(u) = 10*u. Giv | {
"pile_set_name": "DM Mathematics"
} |
/(7 - (-1 - -1)). What is the third smallest value in -0.5, -1, p?
p
Let y(o) = o**3 - 4*o**2 - o + 7. Let x be y(4). What is the second smallest value in 4, x, 0.4, 0.3?
0.4
Let f = 0.16 - -6.84. Let d = f + -12. Which is the smallest value? (a) 2/9 (b) 2 (c) d
c
Let z = 0.05 - -1.95. What is the third smallest value in 3/4, -3, z?
z
Let o = -3.95 - 0.05. Which is the second biggest value? (a) -0.5 (b) 2 (c) o
a
Let r = 2913/7 - 417. What is the fourth smallest value in r, -5, 3/5, 1?
1
Let f = -4/203 - 16/29. Let h = 3 - 3.4. Which is the biggest value? (a) 0.5 (b) h (c) f
a
Suppose -289 - 191 = 2*l. Let n = l - -955/4. What is the biggest value in n, -1/5, 5?
5
Let r be (2/(-16) - 0)*-2. Let i = 18 + -15.7. Let n = i - 0.3. What is the third biggest value in 0.4, r, n?
r
Let f = 1 - 1.3. Let j = 4.6 + -5. Which is the second smallest value? (a) f (b) -5 (c) j
c
Let p = 3 - 2.7. Which is the smallest value? (a) -20 (b) p (c) 0
a
Let w be -48*(-2 + 20/16). Let g be (3 + (-116)/w)/(-1). Let h = 0.6 - 1. What is the biggest value in g, -2/7, h?
g
Let s = 20 - 106/5. Let z be (1/12)/((-6)/18). Let l be (-5)/(-9)*(-18)/(-45). Which is the third biggest value? (a) l (b) z (c) s
c
Let w = 1 - 1.04. Let p = 0.06 - 0.6. Let u = w - p. Which is the third smallest value? (a) -3 (b) u (c) 3
c
Let l be (-6)/9 - 6656/(-66). Let k = l - 100. Which is the biggest value? (a) 0 (b) -1 (c) k
c
Suppose -13*y = -5*y + 40. Which is the fourth biggest value? (a) 2 (b) 0.02 (c) -3 (d) y
d
Let d be 3/(-2)*(-48)/396. Which is the third biggest value? (a) d (b) 3/5 (c) 4
a
Let p = -0.127 + 0.027. Let u(y) = -4*y - 1. Let q be u(-1). What is the second smallest value in q, p, 0.4?
0.4
Let d = 141 - 287/2. Which is the third biggest value? (a) 5 (b) d (c) -0.3
b
Suppose -68 = 5*g + 77. Let c = -2 - g. Let o be (-3)/(c/(-6))*-3. What is the biggest value in 1, o, 4?
4
Let r = -11 - -14. What is the second smallest value in 1/8, r, 4?
r
Let v = 0 + 0. Let a = -0.52 - -5.52. Suppose 2*x + 2*w + 10 = 4*x, 2*x - w = 7. What is the second smallest value in v, a, x?
x
Let i = 735/8 - 92. Let o = -31993 - -127305/4. Let m = o - -166. Which is the second biggest value? (a) m (b) 0.1 (c) i
c
Let p = -5 - -4. Let u = 0.05 - 11.05. Let m = 10.8 + u. What is the third biggest value in -2/9, p, m?
p
Suppose -v = -4*v. Let h be (2 + -1)*(v - 2). Let a = -4.9 + 5.1. What is the third biggest value in a, -1/4, h?
h
Let h = 185.9 + -186. Let k be 24/(-14) + (-4)/14. What is the second smallest value in h, 1/3, k?
h
Let f(h) = h**2 - 4*h - 3. Let c be f(5). Suppose -2*x + 0*x = 8. Let y = -34 - -32. What is the third biggest value in x, c, y?
x
Let l = -1 + 4. Suppose 0 = -j - 2 + 26. Suppose 5*h - 5 = y - j, 3*h - 5*y + 7 = 0. Which is the second biggest value? (a) l (b) 0.5 (c) h
b
Let z = -97/11 - -9. Let o = 12 + -19. Let n = -4 - o. What is the second biggest value in z, -4, n?
z
Let i = 352/5 - 70. Let o = -0.1982 - 0.0018. What is the smallest value in i, o, -1/4?
-1/4
Let m be (-7)/(-12) - (-2)/3. Let p = -5 - 6. Let g = 12 + p. What is the third biggest value in g, m, 0?
0
Let q be 1 - (-1 + -1 + 3). Let t be 0 + 0 - -3 - 3. Suppose q = 5*j - t*j + 20. Which is the third smallest value? (a) -2/11 (b) 1 (c) j
b
Let o = 5.3 + -5. Let p = -3.2 - -3. Which is the second biggest value? (a) -1 (b) o (c) p
c
Suppose 10 = -7*t + 2*t. Let p = -3.9 + -0.1. Let o(i) = i**2 - 16. Let l be o(4). Which is the second smallest value? (a) p (b) t (c) l
b
Let l = -7757/462 + 219/11. Let k = l + -17/6. Which is the smallest value? (a) k (b) 2/11 (c) -1/4
c
Suppose -4*o - 5 = -5*d, -3 = 5*d - 2*o + 2. Let z be d/(-7) - (-48)/(-14). What is the second biggest value in -2/13, -1/2, z?
-1/2
Let a(m) = -m**2 - 5*m. Let k be a(-4). Suppose -5 = -5*h + 8*i - 3*i, k*h + 4*i = 28. Suppose h + 5 = 3*v. What is the second smallest value in v, 0.4, 2?
2
Let x = -7.023 - -0.023. What is the third biggest value in 0, -4, x?
x
Let v = -26 - -26.4. Which is the biggest value? (a) -1 (b) 5 (c) v
b
Let x = 47.96 - 46. Let w = x + 0.04. Which is the third smallest value? (a) 4 (b) 1/3 (c) w
a
Let m be (-21)/(-12) - (51/(-12) - -4). What is the second biggest value in m, 1, -9, -1/2?
1
Let w = 3.7 - -7.9. Let d = 12 - w. What is the second biggest value in d, -5, 0?
0
Let g = -77 + 382/5. Let u(z) = z + 2. Let n be u(-5). Which is the smallest value? (a) g (b) n (c) 3/7
b
Let k be (6/(-9))/((-32)/12). Suppose -5*w + 5 = -2*t, -17 = -3*w - 2*t + 2. Let c be 3*3/45*w. What is the second smallest value in 4, c, k?
c
Let f = -5.14 + 0.15. Let q = 0.01 - f. What is the third smallest value in -0.2, 0.03, q?
q
Let t be 13/(-15) - ((-5)/(-5) - 2). What is the fourth smallest value in t, 3, 0, -2/7?
3
Let c = -6 - -8. Suppose -c*a + 1 + 3 = 0. What is the third biggest value in a, 1/11, -0.3?
-0.3
Let v = -203.6 - -227. Let g = v - 23. Let k(o) = -o**3 - 5*o**2 + 5*o - 1. Let w be k(-6). Which is the biggest value? (a) w (b) g (c) 4
a
Let q = 0 - -0.3. What is the second smallest value in q, 0.1, -0.1, 2/7?
0.1
Let q = 1.1 + -1.4. Which is the fourth smallest value? (a) 2 (b) 3 (c) -8 (d) q
b
Let x = -2.302 + 0.312. Let g = 2 + x. Let q = g + 0.39. What is the second biggest value in -2/3, q, 4?
q
Let z = -2/11 - 29/22. Let g = 0.1 - 0.1. What is the third smallest value in z, g, 5/2?
5/2
Suppose -2*j = 3*n + 2*j - 13, 0 = -5*n + 3*j - 17. Let u be 0/(-4)*(0 + n). Let q = 59 - 58.5. What is the biggest value in q, 0.2, u?
q
Let c = -14.86 - 0.14. Let d = c + 17. What is the third smallest value in 0.4, 5, d?
5
Let h = 3/40 - -1/8. Let w be (-1)/(-3)*(-24)/10. Which is the biggest value? (a) h (b) w (c) 1/7
a
Let y be 3/2*(-16)/(-6). Suppose -2*l + y*l = -18. Let t be (-3)/l*1*2. Which is the third biggest value? (a) t (b) 5/3 (c) 3
a
Let z be (-17)/(-3) + (-30)/6. Let j = 35/2 - 181/10. What is the second smallest value in z, j, -0.2?
-0.2
Let p = 0.14 + -0.34. Which is the third biggest value? (a) 2/5 (b) 0.1 (c) p
c
Let o be 4/(-6)*(-18)/36. What is the smallest value in -4, o, 0?
-4
Let d be ((-12)/10)/(3/10). Let f be (2/(-28))/((-1)/d). What is the third biggest value in 3, f, -1?
-1
Let v = 0.01 + 0.22. Let r = -12.07 + 12. Let d = v - r. What is the biggest value in -1/5, d, 2/7?
d
Let t = -113 + 117. What is the third smallest value in 3, -1/3, 1, t?
3
Let y = -0.8 + 4.8. What is the third biggest value in -0.5, y, -0.1?
-0.5
Let x = -4 + 4.6. Which is the second smallest value? (a) -2/3 (b) x (c) 0
c
Let l be 33/(-22)*(-8)/(-54). Which is the third smallest value? (a) -0.4 (b) 0.5 (c) l
b
Let w be ((-2)/(-10))/(7/(-14)). Let p = -0.08 + 0.08. Which is the second smallest value? (a) p (b) w (c) 2
a
Let h = 3 - 2.52. Let w = h + -0.08. Suppose -3*q + 2*q - 4 = 0, 4*u = 4*q + 36. Which is the second biggest value? (a) w (b) 0.5 (c) u
b
Let x = -81 + 63. Which is the biggest value? (a) x (b) 2/23 (c) 3
c
Suppose 3*l + 17 = -3*t + 89, -5*t - 4*l + 118 = 0. Let r be 1 - (-2 + t/8). Let m = -0.9 + 0.84. Which is the smallest value? (a) -0.5 (b) m (c) r
a
Let j = 4.99 + 0.01. Let f = -18/19 + 232/285. What is the biggest value in f, -5, j?
j
Suppose -2*p + 4 = -0*p. What is the smallest value in p, -3, 0?
-3
Let q = 112 - 113. Which is the second smallest value? (a) -0.8 (b) q (c) 3
a
Let v = -3 + 2. Let j = 1.1 - 1.2. Which is the second smallest value? (a) v (b) 1 (c) j
c
Let k = 28 + -28. Which is the second smallest value? (a) 2 (b) 4 (c) k (d) 9
a
Let o = -1.98 - 0.02. Let v = 1.12 + -1.42. What is the third smallest value in v, -5, o?
v
Let j = 198 - 194.04. Let f = -0.04 - j. Let d = f - -9. Which is the third smallest value? (a) -1/4 (b) -2 (c) d
c
Let i = -132 + 128. Let j be 4/10 + 64/315. Let f = -8/9 + j. Which is the third biggest value? (a) -2 (b) i (c) f
b
Let p = -17 - -16.96. Which is the biggest value? (a) p (b) 0.2 (c) 4/7
c
Let o be 3/(-10)*(-1)/3. Suppose -6*p + 14 - 2 = 0. What is the second smallest value in o, -0.2, p?
o
Let u = -4.3 - 0.7. Let i(p) = p - 1. Let s(w) = 9. Let k(r) = i(r) - s(r). Let h be k(10). Which is the third smallest value? (a) u (b) h (c) 3
c
Let p = -111 + 1 | {
"pile_set_name": "DM Mathematics"
} |
3 = 4*x + l, -4*x + 8 = 3*l. Solve -5*i - 17 = -x for i.
-3
Suppose -2*x - 76 = 2*x. Let f be (-6)/9 + x/3. Let q = 7 + f. Solve -5*u + 12 + 13 = q for u.
5
Suppose 0 = 2*z - 3*z + 15. Solve z = -4*l + 3 for l.
-3
Suppose 4*n + 0*f + 4*f = 12, -3*f + 9 = 2*n. Suppose -j - 3*j = n. Solve -6*d + d = j for d.
0
Let x = -13 - -24. Let a = x + -8. Solve 4*u - a = 17 for u.
5
Let t = -10 - -30. Suppose 3*l + t = 4*k, -2*k + 9 + 1 = -4*l. Solve -2*p + k*p = 0 for p.
0
Suppose -2*o = 2*y + 1 - 3, -4*y = 3*o. Let l be ((-8)/(-10))/(o/10). Solve l*a = 2 - 0 for a.
1
Suppose 23 = 5*n + k + 2*k, -3 = -2*n + 5*k. Let s(m) = -m**3 - m**2 - 2*m - 4. Let b be s(-3). Solve n*x + x = b for x.
4
Let c(d) = d + 0*d - 2*d. Let f be c(-3). Solve f*y + 8 = -4 for y.
-4
Let c(g) = -6*g**3 - 2*g - 2. Let v be c(-1). Solve -2*i - 2 = -v for i.
2
Suppose -h = -22 + 18. Solve -r = -h*r for r.
0
Let k be (-3)/(-2) + 57/(-6). Let w(p) = p + 10. Let y be w(k). Solve -r - y = 3 for r.
-5
Let x = 41 + -22. Suppose -2*f + x = 15. Solve -2 = -f*y - 12 for y.
-5
Let w be (-1*16)/4 - -12. Solve -6*u + 2*u - w = 0 for u.
-2
Suppose 5*s - 25 + 0 = 0. Suppose 0 = -2*y + s*y - 12. Solve -14 = -y*m + 2 for m.
4
Let j = 41 + -25. Suppose 0 = -c - s - 4*s, -4*c + 25 = -5*s. Suppose 5*a = -c*b + 25, 4*a + b = -a + 17. Solve a*x = 7*x + j for x.
-4
Let z(t) = -t**3 + t**2 - t + 1. Let n be z(2). Let k be 0 - (n + (2 - 1)). Solve 0 = -3*m + 4*m + k for m.
-4
Let i = -134 - -143. Solve i = 5*z + 19 for z.
-2
Let m(b) = b + 3. Let g be m(-5). Let i be g/5 - (-4)/10. Solve i = 5*h - 1 - 9 for h.
2
Let g(u) = -u**2 - 8*u - 9. Suppose 4*y - 2*k + 16 = -14, 0 = -3*y + 2*k - 24. Let j be g(y). Solve -12 = -j*q + 6*q for q.
-4
Let z = -54 + 57. Solve o - 4 + z = 0 for o.
1
Let k = 16 - 12. Suppose k*h - q = 2*h + 13, 2*h = -4*q - 12. Solve -4 = 6*a - h*a for a.
-2
Let m be ((-3)/(-9))/((-2)/(-30)). Suppose -3*l - m*o - 15 = 0, -3*l + 4*o + o = -15. Solve -2*g - g + 15 = l for g.
5
Suppose 2 = -3*j + 5*y + 82, -128 = -5*j + 3*y. Let t be (7/21)/(3/18). Solve 3*w + t*w + j = 0 for w.
-5
Let v be 9/2*(-6)/(-9). Let b = -3 - -3. Solve -v*k = -9 - b for k.
3
Let s be -3*((-3)/(-9))/(2/(-6)). Solve -s = -3*h + 12 for h.
5
Let v(f) = 4*f**2 + 4*f + 2. Let y be v(-1). Solve -2*d - y*d - 8 = 0 for d.
-2
Suppose -y + 25 = 4*y. Let f = 78 + -78. Solve f = -y*z + 7 + 13 for z.
4
Let x = -10 + 16. Solve x*y - 3*y = 3 for y.
1
Suppose 0 = 17*v - 46 - 22. Solve -9*i - v = -5*i for i.
-1
Suppose 6*i - 6 = 3*i + 4*f, 5*i + f = 10. Solve w + 3 - i = 0 for w.
-1
Suppose -3*k + j + 9 = 2*j, -4*k + 5*j = -12. Suppose 0 = f - 3*g - 10, -k*f + 0*f = 2*g - 30. Solve -2*u + f = -0 for u.
5
Let f(d) = -2*d + 10. Let i(z) = z - 5. Let m(p) = -3*f(p) - 5*i(p). Let x be m(5). Solve w - 1 + 3 = x for w.
-2
Let g be 20/3*18/15. Solve g = -3*y - 4 for y.
-4
Let v = -7 - -13. Let h be (-2)/(1/(-2)*2). Solve 0 = 4*j + v - h for j.
-1
Let i(n) = -5*n. Suppose 5*u = 25, -5*h - 10 = -u - 0. Let c be i(h). Solve -c*d + 3*d = 2 for d.
-1
Let p(f) = f**3 + 11*f**2 + 10*f + 4. Let h be p(-10). Solve 0 = -4*i + 2*i - h for i.
-2
Let d(q) be the first derivative of -q**2 + 2. Let r be d(-2). Let l = 0 + r. Solve l*t = -t - 15 for t.
-3
Let u(v) be the first derivative of -v**2/2 + 11*v - 1. Let h be u(7). Suppose 4*c = 5*d - h + 12, -2*d - 27 = -5*c. Solve -2*j - 15 = -c for j.
-4
Let a(q) be the third derivative of q**4/12 - 3*q**3/2 + 2*q**2. Let v be (36/10)/(2/5). Let h be a(v). Solve -h = -d - 2*d for d.
3
Suppose 9*w - 8 = 5*w. Solve 4 + 0 = w*d for d.
2
Let y(k) = k**3 - k**2 - 2*k + 3. Let a be y(2). Let d(l) = -l**2 + 0*l**3 + 5*l**2 - l**a - 2*l**2 - 1. Let q be d(1). Solve 0 = -5*j - q + 25 for j.
5
Let q(v) = 3*v + 26. Let d be q(-6). Solve 2*l + 0*l = d for l.
4
Suppose -v + 11*v = 0. Solve v*l = -l + 2 for l.
2
Suppose 0 = 2*m + 4*y - 4 + 2, 5*y - 7 = -4*m. Solve -6 + m = 3*t for t.
-1
Let d(q) = q + 1. Let v be d(1). Let l be 1*-3*-1 - v. Let g = 0 + l. Solve z + 0 = g for z.
1
Let p be (-2)/(-13) - 924/(-78). Solve 3*n = 6*n + p for n.
-4
Suppose 5*n + 2*c - 22 = 0, 4*n - 4 = -4*c + 16. Let u be (2 + -32)*n/(-6). Solve 2*i = -2*i - u for i.
-5
Suppose 5*q - 11 = 4. Let m = -11 - 11. Let j = -7 - m. Solve -q*f - j = 2*f for f.
-3
Suppose 24 = 6*o - 2*o. Solve 0 = t - 3*t - o for t.
-3
Let y(v) = -v - 3. Let p be y(-5). Suppose w + 2 = -5. Let n be (w/(-14))/(2/4). Solve 0 = p*o + n - 9 for o.
4
Let v(d) = -d**3 + 10*d**2 + 10*d + 16. Suppose 4*f + z - 4*z = 59, -5*f - 2*z + 45 = 0. Let i be v(f). Solve -i*w + 2 = 27 for w.
-5
Let b(r) = 2*r**3 - 2*r**2. Let n be b(2). Let c be (n/(-20))/((-2)/20). Solve -8*l + 8 = -c*l for l.
2
Let t be (-10)/(-25) + 54/(-10). Let d = 5 + t. Solve d*g = 3*g for g.
0
Suppose 7 + 11 = 3*g. Suppose -3*o + 6*b = 2*b + 8, -g = -4*o + 2*b. Solve -o = w - 2 for w.
-2
Let p be 1*((3 - -10) + -2). Solve 4*n = -p - 5 for n.
-4
Let h(q) = -2*q**2 + 19*q - 3. Let p be h(9). Solve -p*w = -3*w for w.
0
Let s(i) = -i**3 + 10*i**2 + i - 6. Let k be s(10). Solve -k = o - 0*o for o.
-4
Let a(t) = t**3 - 8*t**2 + 6*t + 8. Let d(o) = 0 + 15 - 3*o + 4*o. Let g be d(-8). Let v be a(g). Solve 0*p - p + v = 0 for p.
1
Let r(z) = z - 1. Let k(n) = 3*n + 4. Let w be k(-3). Let t be r(w). Let b = 6 + t. Solve -3*d + 0*d = b for d.
0
Suppose -i - 4*j = -24, -2*j - 11 = -4*i - j. Suppose w - 9 = i*w. Let u = w + 8. Solve 2*l - u = -3*l for l.
1
Let g = -5 - -5. Let u be (0 - -1)/(g + 1). Solve -x + 3 = -u for x.
4
Suppose -2*g - 3 = -3*g. Let k be 0 + (-1 - g)*-5. Let o be 6/(-8)*(-1 + -3). Solve -o*p = p + k for p.
-5
Let v = -1 - -37. Suppose -5*n + v = -4*w, -2*n = -5*w - 0*w - 28. Solve 0 = n*t + t for t.
0
Let x be ((-2)/(-4))/(8/(-16)). Let y = 4 - x. Solve y = -5*p - 0 for p.
-1
Suppose 4*k - 10 = -2. Solve 4*a + k = 2*a for a.
-1
Let h(i) = i**3 - 18*i**2. Let o be h(18). Solve o = -x - 3*x - 20 for x.
-5
Let t = 2 + 0. Let g be t + 0 + (-2 - -2). Suppose 10 = -5*p, 4*p - g*p + 4 = -4*j. Solve j = -2*s - s for s.
0
Suppose 26 = 2*c + 2*g, 0 = -c + 6*c + 2*g - 50. Suppose 2*r + 3*y = 6, 5*y - c = y. Suppose -3*m + m + 4 = r. Solve 2*i = 3*i + m for i.
-2
Let x be -8 - -12 - (-1 - -1). Solve -8*z - 12 = -x*z for z.
-3
Let d(y) = -y + 9. Suppose 0*m - 35 = -5*m. Let x be d(m). Solve -x*s - 1 = -5 for s.
2
Let i be 8*1*(18 + -17). Solve 17 = 5*m - i for m.
5
Suppose -7*a + 18 = -a. Suppose 0 = a*s - s. Solve 9 = -s*d - 3*d for d.
-3
Let y = -3 + 4. Let j be (32/(-16))/(2/(-4)). Solve j = -3*v + y for v.
-1
Let h be (-2)/14 + (-472)/28. Let a = h - -25. Solve -k = -3 + a for k.
-5
Let k = -11 + 18. Let n(j) = -j + 9. Let x be n(k). Solve 0 = -3*p + x + 10 for p.
4
Suppose -5*b = 2 + 3. Suppose 2*p = 6, -4*d - 3*p - 7 = -4*p. Let x = b - d. Solve x = -w - 4*w + 15 for w.
3
Let h = 24 + -20. Solve -t = h*t for t.
0
Suppose 24 = 4*k + 4*l, -2*k = 3*l + 11 - 27. Solve -5*v - 3 = k for v.
-1
Suppose 0 = -4*z - u + 23, -2*z + 4*u - 32 = -6*z. Solve -4*r - 5 = -z*r for r.
5
Let i(o) = 4*o**3 - 2*o**2 + o. Let x be i(1). Solve -x*j = j for j.
0
Suppose 2*o = -3*m - 40, m - o + 15 = -0. Let r = -14 - m. Let w = 4 + -1. Solve p = w - r for p.
3
Suppose -2*r + 4*r = 14. Suppose w - 8 = -r. Solve -2*f - w = -f for f.
-1
Suppose 2*q - 3*n - 2*n = 32, -3*q = -n - 61. Suppose -5*h - 1 = -q. Suppose -3*l + 7 = -2*j, -h - 10 = -j - 2*l. Solve 3*w + j = 1 for w.
-1
Suppose -3*d + 17 + 6 = 4*b, -8 = -b - 3*d. Solve b = 4*o - 3 for o.
2
Suppose -y = -6*y - i, -y + 3*i = 0. Let w = 2 - y. Solve -a = 6 - w for a.
-4
Let v be -5*(3 + 72/(-20)). Solve -v*k = k for k.
0
Suppose 3*k = -4*i, -k = -0*i - 2*i. Solve 0*v + 3*v = i for v.
0
Suppose 12 = -4*d - 140. Let v = -20 - d. Suppose 3*u + v = 6*u. Solve 2*t - u*t = 8 for t.
-2
Suppose 2*y - 4 = 0, 5*y - 2*y - 10 = -b. Let u be 0/(-6 + (-1 - -5)). Solve p - b*p = u for p.
0
Suppose -4*p - 16 = 4*z - 3*z, -3*p = 5*z - 5. Suppose 3*d - r - 25 = 0, -z*d - 45 = -7*d - 3*r. Solve 0*g + 2*g + d = 0 for g.
-5
Let y(k) = -k**3 + 5*k**2 - 6*k + 9. Let x be y(4). Solve 4*v + 11 = -x for v.
-3
Let a be (50/(-15))/(4/(-6)). Let m = a - 4. Let d = 6 - m. Solve 0 = -d*t - 3 - 7 for t.
-2
Suppose 5*r = -2*k - 0*k + 14, 0 = 2*r + 4*k - 12. Solve -2*t = -0*t - r for t.
1
Suppose 5*k + 4 = 14. Suppose - | {
"pile_set_name": "DM Mathematics"
} |
(-28))/4 - (-78)/(-21). Let q(f) = f + 6. Let t(w) = 1. Give h*q(m) + u*t(m).
m + 2
Let t(a) = 11*a**2 - 25*a + 26. Let p(r) = 5*r**2 - 12*r + 12. Determine -13*p(q) + 6*t(q).
q**2 + 6*q
Let s(d) = 11*d**2 - 13. Suppose 5*t = -3*n + 34, -2*t - 2*n + 57 - 45 = 0. Let q(a) = -17*a**2 + 20. Calculate t*s(u) + 5*q(u).
3*u**2 - 4
Let x(d) = 0*d**3 - d**3 + 2*d + 113*d**2 - 221*d**2 - 2 + 110*d**2. Let v(q) = -9*q**3 + 21*q**2 + 21*q - 21. Calculate 2*v(g) - 21*x(g).
3*g**3
Let y(m) = -5*m + 7. Let i(n) = 6*n - 9. Let s(r) = -4*i(r) - 5*y(r). Let k(h) = -4*h - 1. Let a(o) = -o - 8. Let d be a(-7). Give d*k(f) - 2*s(f).
2*f - 1
Let o(i) be the second derivative of i**4/4 + 79*i. Let x(g) = -4*g**2 - 5*g**2 + 4*g**2 + 4*g**2. What is -o(v) - 6*x(v)?
3*v**2
Let i(m) = -14*m**2 - 36*m - 135. Let g(z) = -6*z**2 - 16*z - 67. Determine -9*g(w) + 4*i(w).
-2*w**2 + 63
Let o(q) = -11. Let n(b) = 2*b + 47. Give -4*n(p) - 18*o(p).
-8*p + 10
Let g(d) = 13*d**2 - 2*d - 2. Let l(m) be the first derivative of 4*m**3/3 - m**2/2 - m - 401. Give -2*g(h) + 7*l(h).
2*h**2 - 3*h - 3
Let d(r) = -73*r. Let j(h) = 74*h. Determine -3*d(x) - 4*j(x).
-77*x
Let p(g) = -g - 1. Let x(q) = 4*q + 270. Determine 6*p(b) + x(b).
-2*b + 264
Let w(q) be the third derivative of q**5/30 - q**4/8 + q**3/3 - 106*q**2. Let v(b) = 5*b**2 - 8*b + 6. What is 3*v(p) - 8*w(p)?
-p**2 + 2
Let g(i) be the third derivative of i**5/30 + i**4/8 - i**3/3 + 3*i**2. Let h(d) = 4*d**2 + 5*d - 3. Suppose 13*p - 49 + 10 = 0. Determine p*h(a) - 5*g(a).
2*a**2 + 1
Let o(g) = -6*g**3 + 3*g - 3. Let n(l) = 2 + 5*l**3 - 1 - 2*l + 1. Suppose 3*j - 9*j + 18 = 0. What is j*n(w) + 2*o(w)?
3*w**3
Let a(l) = 307*l - 1 - 153*l - 4*l**2 - 153*l. Let v(h) = -h**2 - 1. What is a(y) - 3*v(y)?
-y**2 + y + 2
Let r(g) = g**2 - g - 1. Suppose 3*o + 32 + 4 = -4*m, -o = 4. Let v = m - -8. Let d(y) = y**2 - 2*y - 2. What is v*r(k) - d(k)?
k**2
Let h(l) = l - 3*l + 1 + 3*l. Let u(w) = w**3 + 29*w**2 + 138*w - 1. Let c be u(-23). Let z(p) = 5 + 3*p + 1 - 1. What is c*z(v) + 4*h(v)?
v - 1
Let f(r) = r**2 + 1. Let b(o) = -o**2 + 6*o + 1. Let w(j) = 11*j**2 - 34*j - 2. Let m(p) = 6*b(p) + w(p). Give 3*f(h) - m(h).
-2*h**2 - 2*h - 1
Let w(x) = -7*x**2 + 5*x. Let f(d) = -4*d**2 + 3*d. Suppose 0 = 7*j - 143 + 17. Suppose -44*i = -38*i + j. Calculate i*w(l) + 5*f(l).
l**2
Let u(a) = 7*a**2 + 6*a. Let s(r) = r**3 - 14*r**2 - 10*r + 1. Calculate -3*s(i) - 5*u(i).
-3*i**3 + 7*i**2 - 3
Let i(j) = 823244*j**3 - 2229*j**2 + 2229. Let z(h) = 739*h**3 - 2*h**2 + 2. Determine 2*i(f) - 2229*z(f).
-743*f**3
Let x(r) = -2*r**3 - 13*r**2 - 8*r + 5. Let k(p) = -6*p**3 - 39*p**2 - 23*p + 15. Calculate 4*k(g) - 11*x(g).
-2*g**3 - 13*g**2 - 4*g + 5
Let l(y) = -y**2 - 1. Let v(p) = -16*p**2 + p - 2. Determine -4*l(n) + v(n).
-12*n**2 + n + 2
Let q be ((-3)/2)/(2/(-4)). Let m(x) = 4122 + 9*x**2 - 4122 + 11*x. Let c(r) = -5*r**2 - 6*r. What is q*m(a) + 5*c(a)?
2*a**2 + 3*a
Let k(p) = -2*p - 1. Let u(r) = 46*r - 2. Give 3*k(j) - u(j).
-52*j - 1
Let q(j) = -36*j**2 + 9. Let u(o) be the second derivative of -3*o**4/4 + o**2 + o + 23. Determine -2*q(a) + 9*u(a).
-9*a**2
Let s(u) = 29*u + 188. Let k(x) = -5*x + 1. Determine 6*k(y) + s(y).
-y + 194
Let v(z) = -4*z**2 + 2*z. Suppose -10 = -31*c + 41*c. Let k(n) = n**2 + n. Calculate c*v(q) + 2*k(q).
6*q**2
Let p(g) = -8*g**2 + 5*g + 18. Let x(d) = -7*d**2 + 4*d + 19. Give 4*p(j) - 5*x(j).
3*j**2 - 23
Suppose 9*i + 60 = -3*i. Let c(x) = 15*x**3 - 9*x - 5. Let s(n) = -22*n**3 + 13*n + 7. Determine i*s(p) - 7*c(p).
5*p**3 - 2*p
Let c(l) = -6*l**3 - 8*l**2 - 4*l - 33. Let d(t) = 5*t**3 + 6*t**2 + 3*t + 33. What is -3*c(n) - 4*d(n)?
-2*n**3 - 33
Let i be (-4)/6 - (-16)/6. Let n(u) = i - 5*u**3 + 3*u**3 + 2*u - 5. Let q(w) = 3 - 4 + 81*w**3 - 82*w**3 - 419*w + 420*w. Give n(m) - 3*q(m).
m**3 - m
Let w(f) be the third derivative of 0 + 1/3*f**3 + 7/24*f**4 + 0*f - 15*f**2 + 1/15*f**5. Let i(u) = 3*u**2 + 5*u + 1. Determine 7*i(v) - 5*w(v).
v**2 - 3
Let q(a) = -12 + 6*a + 9*a + 3 - 2*a. Let f(t) be the second derivative of t**3/2 - t**2 - 4*t. Let k be (27/(-6))/((-1)/(-2)). Determine k*f(n) + 2*q(n).
-n
Let c(x) = -2*x**2 + 5*x - 2. Suppose 0 = -277*l + 276*l + 4. Let a(i) = -2*i**2 + 6*i - 3. Determine l*a(w) - 5*c(w).
2*w**2 - w - 2
Suppose 13 = 2*k + 17. Let n(r) = -1. Let o(m) = m + 4. Give k*o(z) - 7*n(z).
-2*z - 1
Let o(g) = -4*g**2 + 5*g**2 - g - 78 + 77. Let r(d) = 38*d + 5*d**2 - 4*d**2 - 4 - 42*d. Calculate 2*o(f) - r(f).
f**2 + 2*f + 2
Let j(x) be the third derivative of x**5/15 - x**4/6 + 2*x**3/3 - 700*x**2. Let y(b) = -b**2 + b - 1. Determine j(g) + 5*y(g).
-g**2 + g - 1
Let g(t) = t**3 - t**2 + t. Suppose 23*q + 3 = -20. Let y(m) = -m**3 - 2*m**2 + 2*m. Give q*y(r) + 2*g(r).
3*r**3
Let v(o) be the third derivative of -7*o**4/24 + o**3/3 - 14*o**2 + 21*o. Let t(f) = -7*f + 2. What is -4*t(j) + 3*v(j)?
7*j - 2
Let a(z) = z**2 - z. Let u(w) = -8*w + 7*w - 3*w**2 - w + 3*w + 2*w. What is 5*a(v) + 2*u(v)?
-v**2 + v
Let c(g) = -6*g**2 + 11*g**2 - 8 - 4*g**2. Let v(h) be the first derivative of -h - 3. Suppose 42 = 5*a + 12. What is a*v(x) - c(x)?
-x**2 + 2
Let s(m) = 2*m - 5. Let y(u) = -18*u + 29. Calculate -6*s(h) - y(h).
6*h + 1
Let u(z) = -4*z**2 + 4*z. Let k(c) = -4*c**2 + 5*c. Let t = 304 - 309. What is t*u(h) + 4*k(h)?
4*h**2
Let m(q) = 29*q. Let z(x) = -18*x. Let o(u) = -5*m(u) - 8*z(u). Let n(d) = 2*d**2 + 5*d. What is n(l) + 2*o(l)?
2*l**2 + 3*l
Let n(c) = -3*c**3 + 13*c**2 + 4*c. Let g(i) = -6*i**3 + 25*i**2 + 7*i. Determine 3*g(u) - 5*n(u).
-3*u**3 + 10*u**2 + u
Let s(c) = -268*c - 28. Let w(g) = -269*g - 33. What is 6*s(o) - 5*w(o)?
-263*o - 3
Let k(i) be the first derivative of -4*i**3/3 - 5*i + 2. Let r(q) be the first derivative of -4*q**3 - 14*q + 252. Determine -14*k(l) + 5*r(l).
-4*l**2
Suppose 3*s = 2*u - 12, u + 3*s = 2*u - 9. Let q(j) = j**3 + 2. Let m(z) = -3*z - 1. Let l be m(-1). Let k(c) = -c**2 - 2. Give l*q(v) + u*k(v).
2*v**3 - 3*v**2 - 2
Let g(m) = m**2 + 7*m - 17. Let t(c) = -c. Determine -g(s) - 6*t(s).
-s**2 - s + 17
Let t(w) = 8*w**2 + 21*w + 4. Let l(x) = -19*x**2 - 43*x - 8. Determine -2*l(b) - 5*t(b).
-2*b**2 - 19*b - 4
Let o(z) = -4*z - 6. Suppose 1 = r + 2*g, -g + 1 = r + 4. Let q(b) be the first derivative of 9*b**2/2 + 13*b + 795. Give r*o(m) - 3*q(m).
m + 3
Let u(b) = b**2 + b - 1. Let g be 22/18 - 22/99. Let l(r) = -3*r**2 - 4*r + 4. Give g*l(v) + 4*u(v).
v**2
Let d(a) be the first derivative of -15*a**4/4 - 25*a**3/3 - 25*a**2/2 + 25*a + 17. Let c(k) = -4*k**3 - 6*k**2 - 6*k + 6. Give -25*c(f) + 6*d(f).
10*f**3
Let t(h) = -4*h**3 - 7*h**2 + 7*h + 7. Let b(u) = -u**2 + u + 1. Let y = 47 - 33. Calculate y*b(q) - 2*t(q).
8*q**3
Let o(g) = 3*g + 3. Let k(h) be the third derivative of -h**6/120 - h**4/12 - h**3/3 - h**2. Let c = 126 - 119. Suppose -c = -n - 5. Give n*o(z) + 3*k(z).
-3*z**3
Let g(m) = -140*m**3 - 85*m + 85. Let j(i) = 5*i**3 + 3*i - 3. Let h be (-52)/10 + 156/(-195). Calculate h*g(o) - 170*j(o).
-10*o**3
Let m(z) = 6*z**2 - 2*z + 2. Let f(a) = a - 1. Suppose -111*k = -109*k + 4. What is k*m(g) - 4*f(g)?
-12*g**2
Let b(n) = -17*n - 57. Let p be b(-4). Let z(s) = 26*s - 5. Let v(i) = -5*i + 1. Determine p*v(a) + 2*z(a).
-3*a + 1
Let j(y) = 6*y + 2. Let n(d) be the third derivative of -d**7/5040 - 19*d**5/60 + 21*d**2. Let p(w) be the third derivative of n(w). Determine j(o) + 5*p(o).
o + 2
Suppose j = 2*x + 4, 0 = -5*x + 2*x - 2*j - 20. Let z(t) = -t. Let m(u) = 17*u. What is x*z(v) - m(v)?
-13*v
Let i(z) = 3*z**3 - 6*z**2 - 1. Let v(y) = -y**3 + y. Determine i(h) + 2*v(h).
h**3 - 6*h**2 + 2*h - 1
Let b(w) = 3*w**2 + 3*w. Let u(z) = 2*z**2 + 2*z. Determine 4*b(d) - 5*u(d).
2*d**2 + 2*d
Let c(f) = -f + 663. Let b(o) = 4*o - 1981. What is 2*b(i) + 7*c(i)?
i + 679
Let m(a) be the first derivative of -a - 59. Let g(z) = -3*z + 9. What is g(w) + 9*m(w)?
-3*w
Let k(w) = w**3 - 16*w**2 + 13*w + 9. Let x be k(15). Let j be (-6)/2 - (1/1 - 1). Let b(p) = p - 3 + 3. Let v(a) = -8*a. Give j*v(l) + x*b(l).
3*l
Let h(y) = -y**2 - 10*y + 22*y - 9*y + 3. Let q(a) = -4*a**2 + 10*a + 10. What is -20*h(o) + 6*q(o)?
-4*o**2
Let l(g) = -8*g**2 - 6. Let a(s) be the first derivative of -7*s**3/3 - 5*s - 273. Determine 6*a(d) - 5*l(d).
-2*d**2
Let z(f) = -f**2 + f - 1. Let o(x) = | {
"pile_set_name": "DM Mathematics"
} |
21 = 5*s - 0*s, -3*c + 4*s + 26 = 0. Let k(u) = 4*u - 71. Let y be k(18). Sort -4, y, c in ascending order.
-4, y, c
Suppose -2*m - 3 = -3*a, 3*a - 9*m = -13*m - 15. Put 142, -2, a in increasing order.
-2, a, 142
Let g be (-3)/(-3*3/12). Suppose -g*a + 3 - 23 = 0. Let j = -8 + 13. Sort 3, a, j in descending order.
j, 3, a
Let r be ((-35)/10)/(2/4). Let t = 51 + -49. Sort -3, -1, r, t.
r, -3, -1, t
Suppose 4*l + 38 = 10. Let q = 1.04 - 0.04. Let a = -46.6 + 47. Sort a, l, q.
l, a, q
Suppose 0 = -3*j + 715 - 919. Sort j, -1, 5 in increasing order.
j, -1, 5
Let g = 991 + -992. Put 6, g, 12, 3 in decreasing order.
12, 6, 3, g
Let z = 0.85 - 1.25. Let d be (-26)/(-14) + (-3)/(-21). Let p = d + -7. Put z, p, 0 in increasing order.
p, z, 0
Suppose 24 = 13*y - 14*y + 4*h, -2*y = 4*h + 12. Sort -5, 0, y, 6 in ascending order.
y, -5, 0, 6
Let d = -7 - -8. Let g be 38/(-247) - (-72)/39*-1. Let t be ((-2)/2)/((-1)/(-4)). Sort d, g, t.
t, g, d
Let w = 3 + -2.5. Let j = 765.8 + -765.5. Put -1/8, 0.7, j, w in descending order.
0.7, w, j, -1/8
Let j = -84 + 22. Let i = 62.4 + j. Put i, -3, 9/8 in decreasing order.
9/8, i, -3
Let d = 32.64 - 30. Let f = d - 2.7. Let i = -45/82 - -2/41. Sort f, -1/10, i in ascending order.
i, -1/10, f
Suppose 4*t = 10*t + 3*t. Suppose t = -5*r + 23 - 8. Put r, -5, 7 in ascending order.
-5, r, 7
Let y = 469 + -470. Sort y, 54, -5 in descending order.
54, y, -5
Let v be 3*(-2)/(-33) - 54/(-66). Sort 3, v, -20.
-20, v, 3
Suppose o = m + 3*m + 4, o + 5*m = -5. Sort -3, 1, -1, o.
-3, -1, o, 1
Suppose -22 - 5 = -z + 2*j, -5*z + 4*j = -123. Suppose 7 - z = -4*w. Suppose 4*m - 3*u - 2*u = 83, -3*m + 5*u = -61. Sort m, -3, w in decreasing order.
m, w, -3
Let x = -0.025 + -0.195. Let p = x + 0.52. Let v be (-1 - 1)*2/(-4). Sort v, 16/9, p.
p, v, 16/9
Let c(m) = -3*m**3 - 5*m**2 - m + 4. Let w be c(-4). Suppose 0 = -0*v - 5*v - w. Let q be v/(-231) + 14/(-49). Sort 1/4, q, 0.01.
q, 0.01, 1/4
Let u be (-3)/(-2)*112/42 + -103. Put -3, u, 2 in descending order.
2, -3, u
Let j(k) = -2*k**3 - 10*k**2 + 5. Let z be j(-5). Let t(m) = m**2 + 13*m - 67. Let c be t(4). Put z, 0, c in decreasing order.
z, c, 0
Let u(q) be the first derivative of -q**2/2 + 3*q - 18. Let x be u(2). Sort -4, 3, x in decreasing order.
3, x, -4
Suppose 7*j = -1 + 29. Suppose 18 = -j*a + 10*a. Put a, 5, -6 in decreasing order.
5, a, -6
Let r = -1 + 1. Suppose 0 = -7*j - j - 6*j - 56. Sort j, 2, r in descending order.
2, r, j
Let y = 0.09 - 2.09. Let o = 3 - 3.38. Let b = -0.3 - o. Sort y, b, -1/3 in increasing order.
y, -1/3, b
Let m = -260 + 257. Sort -2/13, m, 2/9 in ascending order.
m, -2/13, 2/9
Let a be (-4 + 1)*(2 + -1). Let c(o) = 2*o + 1. Let y be c(a). Let g(n) = 2*n**2 + 32*n + 3. Let u be g(-16). Put y, 2, u in descending order.
u, 2, y
Let t = -6.9 - 23.1. Let k = t + 31. Sort -0.2, k, -2 in decreasing order.
k, -0.2, -2
Let q = 8 + -4. Suppose 0*h + q*w + 4 = -3*h, 4 = 4*h + 3*w. Suppose 0 = -5*c + 3*l + 40, -2*l = 2*c - 5*c + 25. Sort 2/11, h, c in descending order.
c, h, 2/11
Suppose 124 = 5*w - 36. Suppose -4*l + w = 4*l. Sort 2, -20, l.
-20, 2, l
Let m = -0.87 - -4.87. Let z = 2.93 + 0.07. Sort z, m, 0 in descending order.
m, z, 0
Let x(l) = l**3 + l**2 - l. Let y be x(0). Suppose 0 = 10*j - 11*j + 6. Let i be (j + -8)*(-3)/12*-2. Sort -2, y, i in decreasing order.
y, i, -2
Let l(u) = 6*u + 12. Let m be l(3). Let a = 34 - m. Sort a, 0, 3 in descending order.
a, 3, 0
Suppose -45 = -b - 40. Suppose -5*s = -2*y + 3, -3*y - 2*s - 7 = 2*s. Sort b, y, -4, -2 in descending order.
b, y, -2, -4
Let x = -0.097 + 191.097. Sort -4, 4, x in descending order.
x, 4, -4
Let p = -256 + 255. Sort 77, -5, -3, p in ascending order.
-5, -3, p, 77
Suppose -11*b - 5*m - 26 = -12*b, m + 22 = 3*b. Sort -2, b, -1.
-2, -1, b
Let o = 503/3 - 169. Let q = o - -19/12. Sort q, 0.2, 0, -1 in increasing order.
-1, 0, 0.2, q
Let d = 1.29 + -92.29. Let l = d + 96. Sort l, 15, 4.
4, l, 15
Let h be (-24)/(-60) - (-1819)/15. Let j = -121 + h. Let o = 3.9 - -0.1. Sort -5, o, j in increasing order.
-5, j, o
Let h = -35 - -16. Let s = -15 - h. Let b = 8 - 3. Sort 0.1, s, b in increasing order.
0.1, s, b
Suppose -2*n + j - 179 = 0, 0 = -4*n - 5*j - 386 + 21. Put 5, n, -2 in increasing order.
n, -2, 5
Suppose 4*w = 3*j - 43, 2*w + 16 + 6 = 2*j. Suppose 40*k = 42*k + 2*m - 2, 4*k - m = -11. Sort w, 4, k in decreasing order.
4, k, w
Let d(j) = -2*j + j + 16 - j**2 - 17. Let s be d(-1). Sort -4, 1, s in decreasing order.
1, s, -4
Let d = -14.5 + 7.7. Let m = -2.2 + d. Let g = 0 - 3. Sort -3/7, m, g in increasing order.
m, g, -3/7
Suppose 2*a + 2*k - 2 = 0, 4*a + 164*k = 162*k. Let v = 3 - -3. Suppose -2*x - 2*s = -8, -4*x + s = v*s - 19. Sort x, 2, a.
a, x, 2
Let n be (-2 + 3)*3 - -18. Put n, -0.3, -5 in increasing order.
-5, -0.3, n
Suppose 3*k - 9 = x + 2*k, -5*x - 21 = k. Let c(z) = z**3 - 6*z**2 - 8*z + 8. Let y be c(7). Sort x, y, 9 in descending order.
9, y, x
Let r = 1.3 - 6.3. Let z = 3 + r. Let g = 0.2 - -0.2. Sort 0, z, g.
z, 0, g
Let f(r) = -3*r**2. Let z be f(10). Let h = 3898/13 + z. Put 3, h, -3 in descending order.
3, h, -3
Suppose 0*w + w + 5 = u, 2*u = 0. Sort -2, 5, 0, w in descending order.
5, 0, -2, w
Suppose -259 = 18*r - 259. Sort r, -4, 30 in decreasing order.
30, r, -4
Let h = 1 - -4. Suppose -z = 6*p - 2*p + 4, -2*p + z - 8 = 0. Put p, h, 3 in ascending order.
p, 3, h
Suppose -14 = 2*d + 2*d - f, -4*d = -2*f + 16. Suppose 0 = -3*v - 3*t - 18, -4*t - 10 = 5*v + 18. Put v, d, -1, -2 in decreasing order.
-1, -2, d, v
Let p = -152 - -148. Let r = -336/325 - -22/25. Put r, 1/8, p in increasing order.
p, r, 1/8
Let a = -3144 - -3143. Let z = -3911/92 - -1670551/39468. Let s = z + 1/33. Put -9, a, s in descending order.
s, a, -9
Let y = 571 - 569. Sort 294, y, -1.
-1, y, 294
Let f = -75 + 71. Let b be (-2)/(-1*(-3 - -4)). Suppose -b*m = -m. Put f, m, 3 in ascending order.
f, m, 3
Let y(v) = 94*v + 844. Let i be y(-9). Sort 0, -9, i in descending order.
0, i, -9
Suppose 3*s + 3 + 27 = 0. Let q be 2 + -5 + 2 + -5 + 4. Sort 5, q, s in ascending order.
s, q, 5
Suppose -4*u = -6 + 6. Let g(t) = 6*t + 4. Let y be g(u). Sort 14, y, 0.2.
0.2, y, 14
Let u = -1143 + 1145. Let o = -27.1 - -30. Let d = -0.1 - o. Sort u, -0.4, d.
d, -0.4, u
Let p = 728 - 728.4. Let f be (-2)/5 - 62/(-80). Suppose -2*m - 2*m + 16 = 0. Sort f, m, p in ascending order.
p, f, m
Suppose -21 = -5*a + 4. Let y(s) = s**3 - 12*s**2 - 46*s + 27. Let d be y(15). Sort d, -2, a, -3 in descending order.
d, a, -2, -3
Suppose -u + 13 = 10. Suppose -u*l - 15 = 2*h, 2*l + 5*h + 4 = -6. Sort l, 0, 1 in ascending order.
l, 0, 1
Suppose -160 = 4*z - 128. Put z, -1, 2 in increasing order.
z, -1, 2
Let p(z) = -z**3 - 7*z**2 - 10*z. Let t be p(-5). Suppose 0 = -3*n + y + y + 4, t = 4*n - 5*y - 10. Put 5, -4, n in ascending order.
-4, n, 5
Let b = 86 - 86.354. Let d = 0.054 + b. Let o be -5*2/(0 - -2). Sort o, d, 1 in increasing order.
o, d, 1
Let a = -10.4 + 7.4. Sort -0.036, -1/6, a in decreasing order.
-0.036, -1/6, a
Let x be (0 - 0)*(-2 + 1). Suppose 2*u = -0*k - 5*k + 3, u - 5*k - 9 = x. Suppose u = 2*t + 2*b, -4*t + 0*b + 4*b + 8 = 0. Put 1, t, -4 in descending order.
t, 1, -4
Let x = 22 - 13. Let c = x + -9. Let g = -2 + 12/7. Sort 2, g, c in decreasing order.
2, c, g
Let j = -602 - -603. Sort 11, j, -5, -4 in decreasing order.
11, j, -4, -5
Let r = 0.023 - -0.004. Let y = r - 0.527. Let x(v) = -v**3 + 8*v**2 - v - 2. Let u be x(8). Put u, 5, y in ascending order.
u, y, 5
Suppose n + 4*g - 24 = 0, n - 2*g - 3 = -9. Let u be (-5 + 3)/(-2) - n. Sort u, 2, -1 in ascending order.
u, -1, 2
Let n be ((-6)/4)/(3/4). Let o be (6 - 2) + n + 30. Suppose -z - 3*m - 2*m = 16, 3*z - 5*m = o. Put z, 1, 5 in increasing order.
1, z, 5
Let d = 518 - 522. Put d, 1, 4, -5 in ascending order.
-5, d, 1, 4
Let h(u) = u - 7. Let n = 9 + -3. Suppose -2 = -z + n. Let f be h(z). Put 8, 3, f in descending order.
8, 3, f
Let u(q) = 4*q - 7. Let b be u(2). Let s be (-2 - -2)/(-2 + b). Put -3, s, -1 in increasing order.
-3, -1, s
Suppose -2*o = -2 - 6, -14 = f - 4*o. Suppose -7*m = 1 + 41. Let c be 12/m*2/(-4). Put -5, c, f in decreasing order.
f, c, -5
Suppose 3*s + 23 = q, 4 = -5*s - 5*q - 1. Let k(d) = d + 10. Let r be k(s). Suppose 48*u = 52*u, -2*x | {
"pile_set_name": "DM Mathematics"
} |
Simplify 6*(sqrt(11) + sqrt(176))*-3 + (0 + sqrt(396) + -4)**2.
-138*sqrt(11) + 412
Simplify ((sqrt(15)/sqrt(5))**2 + -3 - sqrt(3)) + sqrt(9)/sqrt(75).
-4*sqrt(3)/5
Simplify -4*((0 + sqrt(605) + 1*sqrt(605))**2 + sqrt(605) - (-2 + -1*sqrt(605) + sqrt(605))).
-9688 - 44*sqrt(5)
Simplify 2 + (((sqrt(38) - (sqrt(342) - sqrt(38) - sqrt(38)))*4)/sqrt(2))**2.
2
Simplify 2*(3 + 0 + sqrt(252) + 4)**2.
168*sqrt(7) + 602
Simplify (sqrt(76) + sqrt(76)*3 + 1)**2.
16*sqrt(19) + 1217
Simplify (-2*-2*-5*sqrt(363)*-1)**2.
145200
Simplify (sqrt(88)/(3*sqrt(8) + sqrt(8) + sqrt(8)))**2 - 2*sqrt(11)*-2.
11/25 + 4*sqrt(11)
Simplify (-1*sqrt(30)*6)/(sqrt(24)/(sqrt(16)/sqrt(4) + sqrt(4))).
-12*sqrt(5)
Simplify ((sqrt(68) + -1 - sqrt(68))*-4)**2.
16
Simplify sqrt(13) + 4 + sqrt(325) + sqrt(1872).
4 + 18*sqrt(13)
Simplify 2 + ((sqrt(27) - sqrt(3))*1 - (sqrt(108) + 4))**2.
32*sqrt(3) + 66
Simplify ((sqrt(120)/sqrt(4)*-3)/sqrt(10))**2 + -3.
24
Simplify ((sqrt(102) + (sqrt(102) - -1*sqrt(102)) - sqrt(102))*3)/(sqrt(54)/(sqrt(144) - sqrt(9))).
18*sqrt(17)
Simplify (sqrt(3) - (3*(sqrt(3) + 1*sqrt(3) + sqrt(3)))**2) + (sqrt(147) + sqrt(147)*2)**2.
sqrt(3) + 1080
Simplify -1 + 1 + sqrt(7) - (0 + sqrt(175)).
-4*sqrt(7)
Simplify 5 + 3 + (2*sqrt(11))**2.
52
Simplify 0 + (2*sqrt(1331) - (5 + sqrt(11)*1))**2 + 4.
-210*sqrt(11) + 4880
Simplify ((sqrt(60) - 2*sqrt(1500))/((sqrt(108)*-1)/sqrt(9)))**2.
405
Simplify -2*((sqrt(13) - (0 + sqrt(13))) + 3).
-6
Simplify (0 + (2*sqrt(242)*5 - sqrt(242) - sqrt(242)) + 5)**2.
880*sqrt(2) + 15513
Simplify (4 + sqrt(162)*3 - 6*-2*sqrt(162))**2.
1080*sqrt(2) + 36466
Simplify ((sqrt(480) + sqrt(480)*-1)/sqrt(12))/sqrt(8).
0
Simplify (-5 + -1*sqrt(2205) + (sqrt(2205) + (sqrt(2205) + 0 - sqrt(2205)))*-6)**2.
1470*sqrt(5) + 108070
Simplify -1 + ((sqrt(2160) - (-2*sqrt(2160) - sqrt(2160)))/sqrt(12))**2.
2879
Simplify sqrt(85)/(sqrt(30)/sqrt(54)).
3*sqrt(17)
Simplify (sqrt(17) + sqrt(85)/sqrt(5) + 0 - (2 + sqrt(17))*6)**2.
96*sqrt(17) + 416
Simplify sqrt(114)/(sqrt(6) + (sqrt(18)/sqrt(3) - sqrt(6))) - (-1 + sqrt(1900)) - (1 + sqrt(1539))**2*3.
-4619 - 63*sqrt(19)
Simplify (sqrt(22) + sqrt(22) + (sqrt(1408) - sqrt(1408)*1))/(sqrt(162)*-2) + 4.
-sqrt(11)/9 + 4
Simplify (3*sqrt(102)*-1)/(sqrt(6) + (sqrt(72) - (sqrt(72) + -3*sqrt(72) - sqrt(72)))/sqrt(12)).
-3*sqrt(17)/5
Simplify 3*(5 + (sqrt(4)/sqrt(2)*-6 + sqrt(2) - sqrt(2)) + 3).
-18*sqrt(2) + 24
Simplify (((sqrt(66) + sqrt(66) + (sqrt(66) - ((1*sqrt(66) - sqrt(66)) + sqrt(66) - sqrt(66))))*5)/sqrt(6))**2.
2475
Simplify sqrt(30)/sqrt(6) + -3 + ((sqrt(50)*-3)/sqrt(10))**2.
sqrt(5) + 42
Simplify (sqrt(132) - (sqrt(132) - (-5*-2*sqrt(132) + sqrt(132))))/(sqrt(24)/(sqrt(32) + sqrt(2))).
55*sqrt(11)
Simplify (sqrt(320) - (-1 + sqrt(320)*1))*-6.
-6
Simplify (sqrt(672)/(2*sqrt(12)))/(sqrt(72)/(sqrt(18)/sqrt(2))).
sqrt(7)/2
Simplify sqrt(14)/(sqrt(1078)/sqrt(11)).
sqrt(7)/7
Simplify (2*sqrt(80))**2 + sqrt(80) + -4.
4*sqrt(5) + 316
Simplify (sqrt(55)/(sqrt(5) - sqrt(5)*-2) - (1 + sqrt(704))) + 1.
-23*sqrt(11)/3
Simplify sqrt(27)/(sqrt(9) + (2*sqrt(81) + sqrt(81))/sqrt(9)).
sqrt(3)/4
Simplify 2*((3 + sqrt(3) - sqrt(3)) + sqrt(3))**2 - (sqrt(3)*-4 + -3).
27 + 16*sqrt(3)
Simplify ((sqrt(72)*-2)/sqrt(4))/(-3*sqrt(24)).
sqrt(3)/3
Simplify (((sqrt(102) - 4*-1*sqrt(102)) + sqrt(102))/sqrt(6) + 3)*2.
6 + 12*sqrt(17)
Simplify sqrt(33)/(sqrt(9)/sqrt(3)) - (3*sqrt(99))**2.
-891 + sqrt(11)
Simplify -5 + (sqrt(400)/sqrt(8))/sqrt(10).
-5 + sqrt(5)
Simplify (sqrt(44)/(2*sqrt(4) + sqrt(4)))**2 + sqrt(11) + sqrt(176) + 4.
47/9 + 5*sqrt(11)
Simplify sqrt(45)/(sqrt(36)/sqrt(4)) + -1 + sqrt(5) + -5.
-6 + 2*sqrt(5)
Simplify 2 + (-6*sqrt(11)*-2)**2.
1586
Simplify (2 + sqrt(847) + -4)**2*3.
-132*sqrt(7) + 2553
Simplify (1 + (sqrt(832) - (3*sqrt(832) + -2)))**2.
-96*sqrt(13) + 3337
Simplify -4 + sqrt(192)*1.
-4 + 8*sqrt(3)
Simplify (-3*sqrt(104)*-1)/(sqrt(512)*-1).
-3*sqrt(13)/8
Simplify ((6*sqrt(130)*-1)/((-2*sqrt(490) - sqrt(490) - sqrt(490)) + sqrt(10))*5)**2.
1300/81
Simplify sqrt(76)/(sqrt(196) - sqrt(196)*-2).
sqrt(19)/21
Simplify (sqrt(117)*2)**2 - (sqrt(1872)*-2)**2.
-7020
Simplify -5*sqrt(17)*2*-6.
60*sqrt(17)
Simplify (sqrt(288)/sqrt(288))/sqrt(12).
sqrt(3)/6
Simplify 2*(sqrt(1900) + 1) - 2*(-1 + sqrt(1900)).
4
Simplify sqrt(2448)*-2 + sqrt(2448) + -2.
-12*sqrt(17) - 2
Simplify 6*(-4 + (sqrt(99) - (sqrt(99) - (1 + sqrt(99) + -2)))).
-30 + 18*sqrt(11)
Simplify (sqrt(1872)*1*-2*-3)**2.
67392
Simplify 2*sqrt(5)*-3 - -6*sqrt(15)/sqrt(3).
0
Simplify (3*(sqrt(88) + sqrt(88) + sqrt(88) + sqrt(88)*1 + sqrt(88)))/((sqrt(24) + sqrt(120)/sqrt(5))/sqrt(3)).
15*sqrt(11)/2
Simplify sqrt(56)/(sqrt(200)*-2).
-sqrt(7)/10
Simplify sqrt(104)/(-4*sqrt(8)*2).
-sqrt(13)/8
Simplify (sqrt(77) + sqrt(77) + -2*(sqrt(77)*-2 + sqrt(77)) + sqrt(77) + sqrt(77))/(sqrt(28)*3 - sqrt(7)).
6*sqrt(11)/5
Simplify (-3*sqrt(2) + 5 - 3*sqrt(162))**2.
-300*sqrt(2) + 1825
Simplify 2 + sqrt(102)/((sqrt(42) - sqrt(42)*-1)/sqrt(7)).
2 + sqrt(17)/2
Simplify -1*((-1*sqrt(99))**2 - sqrt(99)).
-99 + 3*sqrt(11)
Simplify ((sqrt(10) + -2*(sqrt(10) - sqrt(30)/sqrt(3)))/(sqrt(162)*2))**2.
5/324
Simplify (sqrt(190)/(sqrt(40)/(5*sqrt(4))))**2.
475
Simplify ((sqrt(11) + 0)**2 + sqrt(11) + 1 - sqrt(704)*-2) + (-4 + (sqrt(11) - (sqrt(11) + sqrt(44)/sqrt(4) + sqrt(11)))**2)*5.
17*sqrt(11) + 212
Simplify (-4 + -2 + sqrt(19))*-6*2.
-12*sqrt(19) + 72
Simplify (sqrt(3)*2*-1 + 2 + -2 + sqrt(3) + sqrt(3))**2.
0
Simplify 3 + (sqrt(75) - (sqrt(75)*1)**2).
-72 + 5*sqrt(3)
Simplify (-2*3*sqrt(300) + 0)**2.
10800
Simplify 3 + (sqrt(32)/sqrt(4) - sqrt(8))**2 + 4*sqrt(2)*-1.
-4*sqrt(2) + 3
Simplify -2 + sqrt(128)*2.
-2 + 16*sqrt(2)
Simplify (0 + (sqrt(171) + 1)**2 - sqrt(171) - sqrt(171) - sqrt(171))*-3*-2.
-18*sqrt(19) + 1032
Simplify 5 + sqrt(176) + 3.
8 + 4*sqrt(11)
Simplify -3*(-3 + (sqrt(17) + 1 - sqrt(17)) + 5).
-9
Simplify -2*(-1*sqrt(3)*-4)**2.
-96
Simplify (sqrt(108)*2)/(-6*sqrt(9)*1).
-2*sqrt(3)/3
Simplify (sqrt(17) + sqrt(204)/(sqrt(36)/sqrt(3)))*-2.
-4*sqrt(17)
Simplify 4 + (sqrt(30)/sqrt(6) - sqrt(5)) + sqrt(40)/(sqrt(8) + 3*sqrt(8)).
sqrt(5)/4 + 4
Simplify ((sqrt(42)/sqrt(2))/sqrt(7) - 1*sqrt(363))**2.
300
Simplify (sqrt(156) - (sqrt(156) + sqrt(156) + -1*sqrt(156)*-2))/(sqrt(1200)*1).
-3*sqrt(13)/10
Simplify ((sqrt(209) - (sqrt(209)*3 + sqrt(209)) - sqrt(209))*3)/(sqrt(22)/sqrt(2)*2).
-6*sqrt(19)
Simplify 1*(sqrt(12)/sqrt(4))**2 - (-1*sqrt(243) + sqrt(243)).
3
Simplify 2*-6*(sqrt(80) + sqrt(80) + -2)**2.
-3888 + 384*sqrt(5)
Simplify 6*(sqrt(605) + 1).
6 + 66*sqrt(5)
Simplify (sqrt(20) + sqrt(5))*3*-4.
-36*sqrt(5)
Simplify sqrt(684)*2 + ((-2*sqrt(152) - sqrt(152))/sqrt(8))**2.
12*sqrt(19) + 171
Simplify -3 + sqrt(76)/(sqrt(4) - sqrt(16)) + sqrt(38)/(sqrt(2) + (sqrt(32) - sqrt(2) - sqrt(2))) + sqrt(19).
-3 + sqrt(19)/3
Simplify sqrt(2) - (5 + sqrt(2)*-2) - sqrt(22)/sqrt(176).
-5 + 11*sqrt(2)/4
Simplify (sqrt(76)/sqrt(100))**2 + 5 + sqrt(76).
144/25 + 2*sqrt(19)
Simplify (sqrt(7) - sqrt(42)/sqrt(6))*-5 - (3 + sqrt(252)).
-6*sqrt(7) - 3
Simplify sqrt(42)/(sqrt(216) + sqrt(6) + sqrt(6)).
sqrt(7)/8
Simplify -1*-4*(-3*sqrt(304) + (sqrt(19) + 1)*5)**2.
-280*sqrt(19) + 3824
Simplify sqrt(119)/(sqrt(7) - sqrt(42)/sqrt(6)*-1)*-3.
-3*sqrt(17)/2
Simplify -1*(sqrt(2)*2 + sqrt(2)) + -3 + (sqrt(18))**2.
-3*sqrt(2) + 15
Simplify (sqrt(5) - (sqrt(15)/sqrt(3) + -4))**2 + (5 + sqrt(20))**2.
20*sqrt(5) + 61
Simplify 1 + sqrt(49)/(sqrt(112) + (2*sqrt(112) - sqrt(112))).
sqrt(7)/8 + 1
Simplify ((sqrt(24) + -5*sqrt(24))/sqrt(8))**2 + (sqrt(3) - (sqrt(3) + -5*sqrt(108))).
48 + 30*sqrt(3)
Simplify 0 + sqrt(80) + (sqrt(605) + 0)**2.
4*sqrt(5) + 605
Simplify (-2*sqrt(3888))**2 + sqrt(27) - (sqrt(168)/(sqrt(16)/sqrt(2)))/sqrt(7).
2*sqrt(3) + 15552
Simplify sqrt(34)/sqrt(18) - sqrt(544)/sqrt(2).
-11*sqrt(17)/3
Simplify ((sqrt(36)/sqrt(2)*-5)/(-2*sqrt(441)))**2.
25/98
Simplify (sqrt(700) + sqrt(700)*2 + 2 - (2 + sqrt(700) + -1))**2 + -1.
40*sqrt(7) + 2800
Simplify (0 + ((sqrt(13) + 4 + 4)**2 - sqrt(13)))*-3.
-231 - 45*sqrt(13)
Simplify -4 + (sqrt(72) - (-1*sqrt(72)*-2)**2 - sqrt(72)) + -4.
-296
Simplify sqrt(24)/(-6*sqrt(588)).
-sqrt(2)/42
Simplify (sqrt(96)/sqrt(4))/sqrt(8) + sqrt(300)*6.
61*sqrt(3)
Simplify (sqrt(19)*-1*4 - (-4 + sqrt(57)/sqrt(3)) - sqrt(76)/(sqrt(4)*-1 + sqrt(4) + sqrt(4))*-2)**2.
-24*s | {
"pile_set_name": "DM Mathematics"
} |
- k. Determine a(d(q)).
11*q**2
Let n(c) = -c**2. Let q(m) = 421741*m**2. Calculate n(q(u)).
-177865471081*u**4
Let x(u) = -511215*u. Let o(y) = 4*y. What is o(x(d))?
-2044860*d
Let a(j) = 7*j - 6. Let m(y) = -20*y + 17. Let c(n) = 17*a(n) + 6*m(n). Let p(q) be the second derivative of -q**3/3 - 793*q. Determine c(p(r)).
2*r
Let p(r) = -r. Let o(b) be the second derivative of 41*b**3/6 - 73*b. What is p(o(t))?
-41*t
Suppose 70 = -4*h + 11*h. Let b(g) = -2*g + 14*g**2 - h*g**2 + 2*g. Let q(a) = 0*a - a - a + 0*a. Calculate q(b(c)).
-8*c**2
Let s(u) = 2*u**2 - 2207*u. Let w(o) = -4*o**2. Give s(w(l)).
32*l**4 + 8828*l**2
Let r(t) be the third derivative of -2*t**5/15 - 54*t**2. Let h(y) be the first derivative of 2*y**3/3 - 3. What is h(r(f))?
128*f**4
Let x(j) = 2*j**2 - 171. Let c(l) = -391*l. What is c(x(t))?
-782*t**2 + 66861
Let u(j) = j**3 + 6*j**2 - 9*j - 9. Let f be u(-7). Let m(a) = -2*a - f + 5. Let w(n) be the third derivative of -3*n**5/10 - 2*n**2 - 2. Give w(m(l)).
-72*l**2
Let z(w) = -3*w**2. Let r(k) = -59*k + 65. Let u(s) = 29*s - 30. Let m(j) = 6*r(j) + 13*u(j). Determine m(z(l)).
-69*l**2
Let y(a) = -a. Let h(s) = 46*s**2 - 15 - 18 - 21 + 54. Calculate h(y(g)).
46*g**2
Let r(m) be the second derivative of -m**3/6 - 199*m. Let i(p) be the second derivative of 2*p**3/3 - p**2/2 - 5*p. What is i(r(b))?
-4*b - 1
Let h(r) = -3*r. Let m(j) = 10*j. Let q(s) = -14*h(s) - 4*m(s). Let a(i) = 3*i**2. What is a(q(w))?
12*w**2
Let d(y) = -49*y**2. Let b(i) be the first derivative of -i**2/2 - 215. What is d(b(v))?
-49*v**2
Let f(k) = 14*k - 11*k - 3*k + 3*k. Let g(u) = -26*u**2. Give g(f(d)).
-234*d**2
Let r(m) = m**3 + 9*m**2 - 12*m - 10. Let w be (-42)/3 + 0 + 4. Let a be r(w). Let l(z) = -99*z - a*z**2 + 53*z + 46*z. Let h(u) = -u. Calculate l(h(g)).
-10*g**2
Let r(w) = 4938*w**2. Let z(o) = 399*o**2. What is r(z(l))?
786134538*l**4
Let m(z) = 30*z. Let n(a) = -35*a - 8*a + 40*a. What is m(n(v))?
-90*v
Let c(g) = 0 + 0 - 4*g. Let r be 8/6 - (-8)/12. Let s(x) = -25*x**2 + 53*x**r - 27*x**2. Calculate c(s(m)).
-4*m**2
Let p(l) = 2*l + 1770. Let n(c) = 14*c. Calculate n(p(k)).
28*k + 24780
Let p(y) = 873*y. Let g(j) = -14*j**2 + 37*j**2 - 25*j**2. Determine p(g(h)).
-1746*h**2
Let j(l) be the first derivative of -2*l**3/3 + 162. Let f(m) = 7 + 3*m - 7. Calculate f(j(b)).
-6*b**2
Let c(v) = -6*v**2. Let z(j) = -14*j**2 - 1425*j - 1. What is z(c(r))?
-504*r**4 + 8550*r**2 - 1
Let z(m) be the third derivative of 8*m**2 + 0 + 0*m**3 + 1/12*m**4 + 0*m. Let b(l) = 4*l. Calculate b(z(n)).
8*n
Let c(r) = 315*r**2. Let j(y) be the first derivative of 2*y**3/3 - 238. Calculate c(j(k)).
1260*k**4
Let c(p) = 117*p + 15*p + 92*p. Let q(t) = 3*t. Determine q(c(i)).
672*i
Let w(q) = -17*q. Let n(h) = 2*h**2 + 0*h - 15*h + 12*h + 3*h. Give n(w(o)).
578*o**2
Let j(h) = 5*h**2. Let r(l) be the third derivative of -l**5/30 + 27*l**2. Give r(j(x)).
-50*x**4
Let r(v) = 16*v + 530. Let f(i) = 3*i**2. Give f(r(d)).
768*d**2 + 50880*d + 842700
Let b(a) = -5*a**2 - 4*a**2 + 10*a**2. Let u(g) be the second derivative of g**7/2520 - g**4/4 - 3*g. Let t(h) be the third derivative of u(h). Give t(b(x)).
x**4
Let i(k) = -7*k. Let p(z) = -2971*z. What is p(i(u))?
20797*u
Suppose -4*j = -3*j - 2. Let x(o) = -2*o + j*o - o. Let d(h) be the first derivative of h**3/3 - 282. Give d(x(g)).
g**2
Suppose 2*d - 10 = v + 2*v, -3*v - 25 = -5*d. Let k(h) = -d*h**2 + 15*h**2 - 8*h**2. Let o(j) = 7*j - 7. Determine k(o(t)).
98*t**2 - 196*t + 98
Let a(s) = 7*s. Let n(z) = z + 11. Let y(t) = 1. Let l(j) = -6*n(j) + 66*y(j). Let o(k) = -5*a(k) - 6*l(k). Let c(d) = 8*d**2. Give c(o(x)).
8*x**2
Let w(j) = 2*j. Let n(f) be the third derivative of -f**5/60 - 7*f**4/4 - 192*f**2. Determine w(n(u)).
-2*u**2 - 84*u
Suppose -2*x = -x - 2. Let d(v) = 1. Let z(m) = -m + 2. Let s(w) = -d(w) + z(w). Let a(q) = 2. Let o(l) = x*s(l) - a(l). Let p(b) = -3*b**2. Give p(o(t)).
-12*t**2
Let z(n) = -3*n**2. Let w(g) = 33*g. Let q(r) = -17*r + 13*r + 5*r. Let y(o) = -11*q(o) + w(o). Give z(y(p)).
-1452*p**2
Let g(c) = 5*c**2 - 4. Suppose 5*x = 9*x - 16. Let l(w) = -11*w**2 + 9. Let a(h) = x*l(h) + 9*g(h). Let m(j) = 48*j. Determine m(a(r)).
48*r**2
Let p(h) = -11*h**2 - 9*h. Let y(s) = -5*s**2 - 4*s. Let r(l) = -4*p(l) + 9*y(l). Let a = -320 + 462. Let g(v) = -142*v + a*v + v**2. Calculate r(g(z)).
-z**4
Suppose 0*f = f + 9. Let y(n) = -10*n**2 + 9*n - 9. Let g(t) = -5*t**2 + 4*t - 4. Let z(a) = f*g(a) + 4*y(a). Let m(o) = 11*o. Determine m(z(p)).
55*p**2
Let o(s) = -2*s. Let g(b) = 1675*b**2 - 9*b - 36. Let j(h) = -419*h**2 + 2*h + 8. Let a(d) = 2*g(d) + 9*j(d). What is a(o(k))?
-1684*k**2
Suppose 3*k - 4*k = 3*u - 3, 0 = 3*k + 5*u - 9. Let d be k + (-3 - -1)/2. Let h(c) = c**d + 13 - 13. Let r(m) = -15*m. Give r(h(t)).
-15*t**2
Let p(k) = -2*k**2. Let b(n) = 3*n - 524. Determine b(p(a)).
-6*a**2 - 524
Let y(p) = -2. Let f(i) = 6*i + 8. Let v(t) = -f(t) - 4*y(t). Suppose 5*s + 3*q - 13 = 0, 0 = 4*s - 3*s - 4*q + 2. Let l(j) = 2 + 3*j - s - 2*j. Give v(l(w)).
-6*w
Let a(i) = -9*i - 31*i - 32*i + 79*i. Let z(r) = -4*r**2. Calculate z(a(w)).
-196*w**2
Let b = -13 - -19. Let i be b/15*(3 + 2). Let o(k) = 5*k + 3*k - 5*k - i*k. Let f(y) = y**2. Determine f(o(u)).
u**2
Let g(v) = 13*v**2. Let b(c) = 11*c + 17*c - 7*c - 6*c + 22*c. What is g(b(j))?
17797*j**2
Let y(z) = 15*z - 2*z - 9*z. Let j(u) = -u. Let i(x) = -5*j(x) - y(x). Let r(w) = -11*w. Calculate i(r(m)).
-11*m
Let t(p) = -428*p**2. Let b(g) = 719*g**2. Give t(b(v)).
-221259308*v**4
Let f(v) = 6*v**2. Let y(t) be the third derivative of 17*t**4/24 - 59*t**2 + 2. Calculate f(y(q)).
1734*q**2
Suppose 14 = 4*j - 3*a, -3*a = -3*j - 5*a + 2. Let s(q) = 4*q**j + 27*q**2 - 14*q**2. Let u(n) = -n**2. Calculate s(u(h)).
17*h**4
Let w(h) = h - 1. Let a(z) = -3*z + 2. Let g(q) = -a(q) - 2*w(q). Let x(l) = 9*l - 3*l - 6*l + 11*l**2. What is g(x(m))?
11*m**2
Let r(l) = -10*l**2. Let k(d) = d**2 - 18*d - 38. Let o be k(20). Let t(p) = 36*p**2 + 28*p**o - 66*p**2. Determine t(r(s)).
-200*s**4
Let f(m) = 428*m**2 - 1284*m. Let q(y) = y. Let g(o) = -f(o) - 1284*q(o). Let s(u) = 2*u**2. Give s(g(j)).
366368*j**4
Suppose 0 = 5*o + 5 - 20. Let w(g) = 3*g + 3*g - o*g - 2*g. Let z(m) = -m**2. Give w(z(t)).
-t**2
Let m(j) = 11*j + 3 + 5 - 8. Let w(p) be the second derivative of p**3/6 + 4*p. Determine w(m(x)).
11*x
Let i(y) = -2*y**2 + 3*y + 3. Let n(b) = 4*b + 6*b**2 + b - 1 - 9*b**2 + 6. Let f(h) = 5*i(h) - 3*n(h). Let a(o) = 211 - 4*o**2 - 211. Determine a(f(q)).
-4*q**4
Let q(x) = 275738*x. Let c(k) = 9*k**2. What is c(q(w))?
684283001796*w**2
Let v(d) = 194*d. Let a(o) = -305*o**2. Calculate a(v(z)).
-11478980*z**2
Let w(s) be the third derivative of -s**4/24 - 873*s**2. Let m(i) = -675*i**2. Determine w(m(r)).
675*r**2
Let k(a) = -2*a. Let w(u) be the first derivative of u**5/40 - u**3 + 3. Let c(h) be the third derivative of w(h). What is k(c(s))?
-6*s
Let s(p) = 811*p**2 - 1174*p**2 + 360*p**2. Let o(r) = -r + 3*r - r. Calculate o(s(q)).
-3*q**2
Let c(z) = 1852*z**2. Let s(w) = -25*w. What is s(c(p))?
-46300*p**2
Let u(r) = -13*r. Let q be -15 - -9 - 1*-3. Let c be ((-3)/(-2))/(q/(-4)). Let p(l) = -26*l - c*l**2 + 26*l. Give u(p(h)).
26*h**2
Let o(j) = -10650*j**2. Let w(v) = -v**2. Give o(w(y)).
-10650*y**4
Let y(f) be the first derivative of 0*f**2 + 0*f - 23 + 5/3*f**3. Let s(q) = -2*q. Give s(y(n)).
-10*n**2
Let b(m) = 4016 + 0*m + 0*m - 3*m - 4016. Let q(n) = 5*n**2 - 3*n. Calculate b(q(o)).
-15*o**2 + 9*o
Let t be -3*(-16)/(-12) + -3. Let j = -5 - t. Let y(c) = 0*c**2 - 4*c**2 - c**2 - c**j. Let o(z) = -z. Calculate y(o(i)).
-6*i**2
Let p be 16 + (6 - 3 - 1). Let m(o) = -11*o - p*o + 32*o. Let g(k) = 3*k. Calculate g(m(j)).
9*j
Let s(y) = -14*y + 8. Let b(a) = 5*a - 3. Let k(l) = 11*b(l) + 4*s(l). Let o be k(-12). Let f(q) = o*q + 61 - 61. Let g(i) = -i. Determine f(g(r)).
-11*r
Let i(q) = q**2. Suppose 14 = 11*r + 14. Let j(f) be the first derivative of r*f**2 + 0*f + 2/3*f**3 + 4. Calculate j(i(u)).
2*u**4
Let k(f) = 3*f. Let b(n) = 7259 - 7259 - 5*n. Calculate b(k(m)).
-15*m
Let j(d) be the first derivative of d**5/40 + 32*d**3/3 - 2. Let v(f) be the third derivative of j(f). Let i(c) = -3*c. What is v(i(u))?
-9*u
Let h(b) = 207143*b**2. Let i(j) = 2*j | {
"pile_set_name": "DM Mathematics"
} |
6755
Calculate the common denominator of 7/66 and -59/2145.
4290
Calculate the least common multiple of 3180 and 85860.
85860
Find the common denominator of 85/17552 and 109/52656.
52656
What is the lowest common multiple of 1500 and 1425?
28500
What is the smallest common multiple of 337850 and 29000?
6757000
What is the common denominator of -15 and -46/1509381?
1509381
What is the least common multiple of 75495 and 60?
301980
What is the lowest common multiple of 1837 and 41082?
451902
Calculate the lowest common multiple of 90 and 4338.
21690
Calculate the common denominator of -107/1357356 and -67/23730.
6786780
Find the common denominator of 25/16 and 51/1576.
3152
What is the common denominator of 117/12656 and -29/400?
316400
What is the common denominator of 119/186 and -139/7230?
224130
What is the common denominator of -43/846 and 121/522?
24534
Calculate the least common multiple of 282 and 42629.
255774
What is the common denominator of 23/754865 and -9/17555?
754865
What is the lowest common multiple of 38 and 38294?
727586
What is the least common multiple of 757088 and 1604?
757088
What is the smallest common multiple of 7749 and 70?
77490
What is the common denominator of -55/96 and 13/38240?
114720
Calculate the common denominator of -127/360 and -167/388920.
1166760
Calculate the least common multiple of 35160 and 9.
105480
Calculate the lowest common multiple of 140 and 56.
280
What is the common denominator of -29/8380 and 75/22?
92180
What is the lowest common multiple of 4109 and 42?
24654
What is the common denominator of -7/36 and -59/93?
1116
Calculate the smallest common multiple of 180000 and 288.
180000
What is the common denominator of 127/70602 and 69/258874?
776622
Find the common denominator of -23/150 and 61/42885.
428850
What is the common denominator of 5/23808 and -101/12?
23808
What is the common denominator of -115/14 and -143/617334?
4321338
What is the common denominator of 107/210294 and 47/30042?
210294
Calculate the common denominator of -59/16016 and 58/1463.
304304
Find the common denominator of -127/989550 and 113/20.
1979100
What is the common denominator of -71/54 and 37/7134?
64206
Calculate the smallest common multiple of 72 and 100852.
1815336
What is the lowest common multiple of 193914 and 1596?
387828
Find the common denominator of -62/3087 and -91/12.
12348
Calculate the common denominator of 57/650 and -63/107185.
1071850
Calculate the least common multiple of 1735685 and 85925.
8678425
Calculate the common denominator of -14/149637 and 73/6.
299274
Find the common denominator of 29/12 and 59/11436.
11436
What is the least common multiple of 17437 and 6580?
348740
What is the lowest common multiple of 964512 and 85104?
2893536
What is the common denominator of -95/5144 and 25/16?
10288
Calculate the common denominator of 67/2704 and -61/9680.
1635920
Find the common denominator of 113/3096696 and -71/72.
9290088
What is the least common multiple of 132756 and 138?
132756
Calculate the smallest common multiple of 10 and 757458.
3787290
What is the smallest common multiple of 60 and 529572?
2647860
What is the least common multiple of 30 and 416034?
2080170
What is the smallest common multiple of 904 and 70851?
566808
Find the common denominator of 58/60705 and 137/30.
121410
What is the smallest common multiple of 4134 and 131664?
6978192
Calculate the lowest common multiple of 10248 and 4697.
112728
What is the common denominator of -27/439480 and 13/219740?
439480
Calculate the common denominator of -37/540 and -25/666.
19980
Calculate the common denominator of 31/6749 and 37/902778.
15347226
Calculate the least common multiple of 57384 and 282.
2697048
Calculate the least common multiple of 540 and 51120.
153360
Find the common denominator of -149/372204 and -67/1688.
744408
Calculate the least common multiple of 7 and 3886687.
3886687
Calculate the common denominator of 14/125 and -91/206.
25750
What is the common denominator of 37/108 and -65/34263?
137052
Calculate the common denominator of 14/7955 and 77/2064.
381840
Calculate the smallest common multiple of 4 and 89265.
357060
Find the common denominator of -71/1692 and -27/6580.
59220
Calculate the common denominator of -155/138 and -41/15939.
31878
What is the common denominator of -119/100 and 28/171175?
684700
Calculate the common denominator of 59/3300 and 37/26400.
26400
What is the lowest common multiple of 72990 and 437940?
437940
What is the common denominator of 25/7584 and 167/960?
75840
What is the least common multiple of 5574 and 1316?
3667692
Calculate the common denominator of -131/9948 and -151/72.
59688
Calculate the smallest common multiple of 8694 and 2898.
8694
Calculate the lowest common multiple of 15525 and 4800.
993600
Calculate the least common multiple of 10032 and 456.
10032
Find the common denominator of 111/10 and 2/45805.
91610
Find the common denominator of 167/56232 and 45/381128.
3430152
What is the common denominator of 157/1470 and 115/1036?
108780
What is the lowest common multiple of 6690 and 4014?
20070
What is the lowest common multiple of 27288 and 132?
300168
Calculate the least common multiple of 1180107 and 1311230.
11801070
Calculate the common denominator of -10/179 and 25/1611.
1611
What is the smallest common multiple of 63882 and 126?
63882
What is the common denominator of -161/510 and -151/348?
29580
What is the least common multiple of 42672 and 105840?
13441680
Calculate the common denominator of -69/2 and 19/29905.
59810
Calculate the common denominator of -17/878478 and 49/20.
8784780
Calculate the common denominator of -67/50 and 119/256050.
256050
What is the common denominator of -53/14583 and -101/210?
1020810
Find the common denominator of -47/56 and -11/121912.
121912
Calculate the least common multiple of 9172 and 176.
403568
Find the common denominator of 83/74655 and -109/6615.
522585
What is the smallest common multiple of 12 and 11352?
11352
Calculate the least common multiple of 7 and 76273.
533911
Calculate the lowest common multiple of 300771 and 267352.
2406168
Calculate the common denominator of -13/24 and -73/29004.
58008
Calculate the lowest common multiple of 1262 and 492.
310452
Calculate the smallest common multiple of 6750 and 1500.
13500
What is the smallest common multiple of 27 and 103737?
933633
Find the common denominator of 127/4032 and -17/3360.
20160
Calculate the common denominator of -38/2331 and -56/2997.
20979
What is the least common multiple of 2200 and 224?
61600
What is the common denominator of -47/2426 and -111/10?
12130
What is the least common multiple of 7931 and 103?
7931
What is the smallest common multiple of 155007 and 68892?
620028
What is the least common multiple of 176761 and 52?
707044
Calculate the common denominator of 89/12 and 137/150756.
150756
What is the least common multiple of 36 and 75372?
226116
What is the common denominator of 76/470115 and 57/50?
4701150
Calculate the common denominator of -3/14614 and 109/10.
73070
Find the common denominator of 8/360767 and -53/327970.
3607670
Find the common denominator of 41/22884 and 117/95350.
572100
What is the least common multiple of 1445 and 43?
62135
Calculate the lowest common multiple of 210 and 111804.
559020
Find the common denominator of 112/6435 and 43/1980.
25740
What is the lowest common multiple of 176 and 65776?
723536
What is the common denominator of 37/10 and 49/164760?
164760
Calculate the lowest common multiple of 186048 and 7344.
558144
What is the lowest common multiple of 450 and 246825?
493650
Calculate the common denominator of -123/6590 and -89/1318.
6590
Find the common denominator of 71/430446 and 13/48.
3443568
What is the common denominator of 3/1040 and 127/48132?
12514320
Find the common denominator of 32/3 and -55/1276094.
3828282
Calculate the common denominator of -7/10062 and 59/684.
382356
What is the smallest common multiple of 60536 and 105?
908040
Calculate the lowest common multiple of 396 and 4644.
51084
Calculate the least common multiple of 22 and 267267.
534534
Calculate the common denominator of -161/58440 and -157/14610.
58440
What is the lowest common multiple of 96 and 3584?
10752
What is the common denominator of -43/4 | {
"pile_set_name": "DM Mathematics"
} |
+ 4*y + 8*y - y - 55 - 30.
-3*y - 85
Collect the terms in 98*t - 7*t**2 - 3 + 4 + 91*t - 259*t - 7*t**3 - 246*t.
-7*t**3 - 7*t**2 - 316*t + 1
Collect the terms in -4 + 272*m + 261*m - 849*m + 241*m + 4.
-75*m
Collect the terms in -3*l - l - 1433*l**3 + 4282*l**3 - 1421*l**3 + 4*l - 1430*l**3.
-2*l**3
Collect the terms in 338*g**3 - 170*g - 673*g**3 + 326*g - 156*g + 339*g**3.
4*g**3
Collect the terms in -1196*m**2 - 6813*m**2 - 9956*m**2.
-17965*m**2
Collect the terms in -19017798 - 19017802 - 10*c + 38035580.
-10*c - 20
Collect the terms in 460410*b + 2 - 2 + 113451*b - 55023*b.
518838*b
Collect the terms in 144 - 297*v**2 - 4*v - 263*v**2 + 0*v - 109.
-560*v**2 - 4*v + 35
Collect the terms in -160*p**3 - 28*p**2 + 2077232 - 2077231 + 28*p**2.
-160*p**3 + 1
Collect the terms in -36 - 6 + 17 + 23 + 28*b + 4*b.
32*b - 2
Collect the terms in -6310088*t**3 + 12620275*t**3 - 6310184*t**3.
3*t**3
Collect the terms in -240295 - z + z + 92*z**2 + 240295.
92*z**2
Collect the terms in -23*k - 44*k + 369*k**3 + 91*k - 361*k**3.
8*k**3 + 24*k
Collect the terms in -8 + 4 - 1429632*u + 4.
-1429632*u
Collect the terms in -93264376*r**2 + 46632193*r**2 + 46632182*r**2 - 20.
-r**2 - 20
Collect the terms in 0*r**3 - 492*r**2 - 13*r**3 + 955*r**2 + 3*r**3 - 463*r**2.
-10*r**3
Collect the terms in 51 - 102 + 270*w + 46.
270*w - 5
Collect the terms in -483242*n + 0*n**3 + 6*n**3 + 18*n**3 + 483242*n - 3*n**2.
24*n**3 - 3*n**2
Collect the terms in 2 - 507843*p - 3 + 1.
-507843*p
Collect the terms in -1545 - 1548 + 3093 + 101971*x.
101971*x
Collect the terms in -4 + 87*s**2 + 516*s**2 + 106*s**2 + 257*s**2.
966*s**2 - 4
Collect the terms in 84 + m**2 + 56 - 223 + 3*m + 9*m + 83.
m**2 + 12*m
Collect the terms in -682*q**3 - 1796916*q**2 + 1796916*q**2.
-682*q**3
Collect the terms in 467 - 1384 + 459 - 41723*j + 458.
-41723*j
Collect the terms in 11*f**2 + 5*f**2 - 12555 + 8*f - 2*f**2 + 12548.
14*f**2 + 8*f - 7
Collect the terms in 0*p**3 + 11662845*p + p**3 - 11662845*p.
p**3
Collect the terms in 1284*n - 2*n**2 - 85*n**3 + 2*n**2 - 21*n**3.
-106*n**3 + 1284*n
Collect the terms in -494*x**2 + 120617849108*x - 120617849108*x.
-494*x**2
Collect the terms in 46038*q**2 - 23312*q**2 - 22724*q**2.
2*q**2
Collect the terms in 11 - 14 - 6 - 8 + 17 + 18*z.
18*z
Collect the terms in 75715567 + 2*p - 75715568 + 12*p**2 - 19*p.
12*p**2 - 17*p - 1
Collect the terms in -53*c**2 - 3 + 3 + 2615*c**2 - 5*c**2 - 893*c**2.
1664*c**2
Collect the terms in 611012*n - 1462*n - 7 + 7.
609550*n
Collect the terms in -2997*g + 6169*g - 3184*g.
-12*g
Collect the terms in 6*n**3 - 211 - 211 - 221 - 200 + 843.
6*n**3
Collect the terms in 2031*i**2 - 667*i**2 - 694*i**2 - 668*i**2 + 128*i**3.
128*i**3 + 2*i**2
Collect the terms in -22*x - 13*x - 23*x - 38*x - 16*x + 147*x.
35*x
Collect the terms in 29 + 19 - 1110*r - 118 + 22 + 22 + 27.
-1110*r + 1
Collect the terms in 253501*b**2 - 126910*b**2 - 126714*b**2.
-123*b**2
Collect the terms in -6*x**3 - 2753*x - 16*x**2 - 2 + 1415*x + 1338*x.
-6*x**3 - 16*x**2 - 2
Collect the terms in -126526*m - 126518*m - 126527*m - 126519*m + 506088*m.
-2*m
Collect the terms in 854*p**2 - 98*p + 98*p + 21370*p**2.
22224*p**2
Collect the terms in -26*r**2 + 71*r**2 - 34*r**2 + 85 - 3*r**3 - 11*r**2.
-3*r**3 + 85
Collect the terms in -11396*r - 71218*r - 39668*r.
-122282*r
Collect the terms in -153639*x - 153037*x + 306679*x.
3*x
Collect the terms in 393 + 26*h - 757 + 2*h**2 + 375.
2*h**2 + 26*h + 11
Collect the terms in 244*q - 1 + 14 - 10 - 3.
244*q
Collect the terms in -11179*r + 12 + 0 - 16481*r.
-27660*r + 12
Collect the terms in -177 - d + 3390 - 3*d - 37*d**2 + 4*d.
-37*d**2 + 3213
Collect the terms in -3010047412832 + 3010047412832 - v**3.
-v**3
Collect the terms in 5154*s**3 - 1 - 10087*s**3 + 4891*s**3.
-42*s**3 - 1
Collect the terms in 2821*u + 2012*u + 27200*u.
32033*u
Collect the terms in -56*s + 2300 + 2584 + 133*s - 4884.
77*s
Collect the terms in -45*h + 5*h + 27*h - 296 - 2*h**2 + 13*h.
-2*h**2 - 296
Collect the terms in -433 - 206 - 211 - 4*o - 12*o**2 + 9*o**2.
-3*o**2 - 4*o - 850
Collect the terms in -66 - 63 + 239 - 54 - 56 - 46*r.
-46*r
Collect the terms in 189 - 199 + 633*v + 57*v + 314*v + 171*v.
1175*v - 10
Collect the terms in 2154238*b**3 - 1087913*b**3 + 1609042*b**3.
2675367*b**3
Collect the terms in 20*h - 17*h + 2 + 42915*h**3 + h**2 - 2.
42915*h**3 + h**2 + 3*h
Collect the terms in 0*z**2 + 0*z**2 + 1269*z**3 - 1124*z**3 - 109*z**3.
36*z**3
Collect the terms in -20652*q + 0*q**2 + 9233*q + 11428*q - q**2.
-q**2 + 9*q
Collect the terms in -85*k**3 + 111*k**3 + 22*k - 4*k + 16*k - 28*k**3.
-2*k**3 + 34*k
Collect the terms in 12814*u + 26 + 42 - 12801*u - 101 + 33.
13*u
Collect the terms in 2*z - 21666 - 13*z + 21663 + z.
-10*z - 3
Collect the terms in -18*n**3 - 247 + 122 - 1515*n + 1509*n + 125.
-18*n**3 - 6*n
Collect the terms in 134*l + 109*l + 41*l + 53*l + 34*l - 212*l.
159*l
Collect the terms in 347*h**2 + 340*h**2 + 335*h**2 + 120*h**3 - 1022*h**2 - 55*h**3 - 2.
65*h**3 - 2
Collect the terms in -5*k**2 + 2447346*k**3 + 2447432*k**3 - 4894772*k**3.
6*k**3 - 5*k**2
Collect the terms in -3413631 - 4*o**3 + 3413631 + 730*o.
-4*o**3 + 730*o
Collect the terms in 20*n + 7207*n**2 - 54*n + 33*n + 36423*n**2.
43630*n**2 - n
Collect the terms in 307*d + 313*d + 85*d - 988*d + 300*d.
17*d
Collect the terms in -35936882402*c**2 + 71873764812*c**2 - 35936882411*c**2.
-c**2
Collect the terms in -1351*q**3 + 2509*q**3 + 0*q + 0*q - 1062*q**3.
96*q**3
Collect the terms in -53103*f**2 + 23907*f**2 - 66947*f**2 - 10058*f**2.
-106201*f**2
Collect the terms in -3209*g - 2951*g + 6123*g.
-37*g
Collect the terms in -4 - 10 - 40 + 3603*d - 8 + 63.
3603*d + 1
Collect the terms in -18182572916792 + 18182572916792 - 23*f.
-23*f
Collect the terms in -17047*t**2 - 17237*t**2 - 17095*t**2 + 51090*t**2.
-289*t**2
Collect the terms in -876*q + 0 - 7 + 7 + 876*q - 1487*q**3.
-1487*q**3
Collect the terms in 52*k - 150*k + 47*k + 56*k - 1168.
5*k - 1168
Collect the terms in 166*k + k + 17*k + 29*k - 48*k + 2 + 99*k.
264*k + 2
Collect the terms in 73*f**3 + 87*f**3 + 1371*f + 438*f.
160*f**3 + 1809*f
Collect the terms in 546139890*p + p**2 + 3 - 3 + 546139882*p - 1092279772*p.
p**2
Collect the terms in -238*r**3 - 3191968*r + 142*r**3 + 3191973*r.
-96*r**3 + 5*r
Collect the terms in -5120 - 7060 - 1495 + 3409 + 4*i.
4*i - 10266
Collect the terms in 177*t**2 - 182*t**2 - 23717489*t + 23717489*t.
-5*t**2
Collect the terms in -273*o + 791*o - 319*o - 300*o.
-101*o
Collect the terms in -142 - 2*f**2 - 2*f**2 + 3*f + 5*f**2 - 123.
f**2 + 3*f - 265
Collect the terms in 439*s**3 + 63*s - 65*s - 1392 + 1392.
439*s**3 - 2*s
Collect the terms in 1033*x - 1033*x + 34865*x**3 - 69776*x**3 + 34909*x**3.
-2*x**3
Collect the terms in 3046 + 3031 - 9104 + 2*f**2 + 3027.
2*f**2
Collect the terms in 47*y**2 - 1016*y - 44*y**2 - 124*y**2 - 32*y**2 + 1015*y.
-153*y**2 - y
Collect the terms in -2540*k**3 + 1014*k**3 + 1523*k**3.
-3*k**3
Collect the terms in -53 - 50*s + 8 + 10 - 11 + 7.
-50*s - 39
Collect the terms in 0*n + 5*n - 199 - 5*n + 114 - 5*n + 108.
-5*n + 23
Collect the terms in 151 - 478 - 9*m + 228.
-9*m - 99
Collect the terms in -77 + 171218*n**2 + 77 - 172681*n**2.
-1463*n**2
Collect the terms in 234*v**3 + 159433280 - 159433280.
234*v**3
Collect the terms in 18375*m + 18370*m - 2*m**3 - 36745*m + 12 + 13 - 25.
-2*m**3
Collect the terms in -109 + 138*o**2 - 102 - 239 + 450.
138*o**2
Collect the terms in 8 - 12 - 10*m**2 + 1156*m + 14*m**2 + 5.
4*m**2 + 1156*m + 1
Collect the terms in 88927 - 88927 - 192806*l.
-192806*l
Collect the terms in -122813*o**2 + 129 - 260 + 131.
-122813*o**2
Collect the terms in 1930173*a + 1929919*a - 3860096*a.
-4*a
Collect the terms in -5291 + 2*d + 15892 - 2*d**3 - 5300 - 62*d - 5301.
-2*d**3 - 60*d
Collect the terms in 427*n**3 + 538*n**3 + 423*n**3 - 1804*n**3 + 429*n**3.
13*n**3
Collect the terms in 55*h**3 - 6*h**3 - 1967 - 2740 + 4707.
49*h**3
Collect the terms in 10*r - 80063599778397 + 80063599778397.
10*r
Collect the terms in 344 - 23*r - 108 + 7*r - 102 - 11*r - 134.
-27*r
Collect the terms in 24 + 82 + 45*j + 64 - 68.
45*j + 102
Collect the terms in 57321*n + 96910*n - 154232*n.
-n
Collect the terms in -3*y - 5*y**2 + 5*y | {
"pile_set_name": "DM Mathematics"
} |
is the nearest to x in k, 0.3, 3?
0.3
Suppose -9*l - 6 = -10*l. Suppose 0 = l*v + 6*v - 456. Let o be v/(-90) + (-1)/(-20)*4. Which is the nearest to o? (a) 0.4 (b) -0.5 (c) -1/5
c
Let y be (3 - 667) + (-3 - 0 - -6). Let p = y + 662. What is the nearest to p in -4, -42, -0.3?
-0.3
Let r(z) = -5*z**2 + 30*z - 30. Let v be r(1). Let y = -84/17 - v. Which is the closest to 2/3? (a) 2 (b) 2/9 (c) y (d) -1/10
b
Let r = 8 + -7.97. Let l = r + -5.03. Let f = 49343 - 49342. Which is the closest to 0.9? (a) 0 (b) l (c) f
c
Let s = 1068 + -1071. Let n = 0.06 + -0.06. Let l = 20 + -18. Which is the nearest to n? (a) -0.5 (b) l (c) s
a
Let p = -0.1187 + 0.0495. Let m = 0.7308 - p. What is the nearest to 0 in 1, m, -4?
m
Let n = 30 + -25. Suppose -n + 10 = a. Suppose a*z - 4*z - 4*y = -1, 4*y + 1 = -z. What is the closest to 0.1 in -4/7, 1/6, z?
1/6
Let t = 1.1484 - 0.1484. Which is the closest to t? (a) 8 (b) -5 (c) 1
c
Let u = -0.829 + 0.989. Let g = -2.92 - 0.08. Let x = g + 3. What is the closest to x in 3, u, -0.3?
u
Let b = -0.196 + -163.804. Let y = 155 + b. What is the closest to -1 in -1, 3, y?
-1
Let w = -74.25 - -69.25. Which is the closest to 11? (a) w (b) 6 (c) -3
b
Let v = 60 - 58. Let k be (v/12)/(6/48). Let p be (2/(-7))/((-24)/(-8)). What is the closest to 1 in 2, p, k?
k
Let v = -147/8 - -37/2. Let g = 63794 - 63794.5. Which is the closest to -0.01? (a) -0.1 (b) g (c) v
a
Let n(c) = -2*c - 7. Let y be n(-5). Suppose y*k + 3*k + 18 = 0. Let i = 1.1936 - 0.1936. What is the nearest to i in -0.27, 2, k?
2
Let d = 1731.783 - -0.217. Which is the nearest to 0.1? (a) -1 (b) d (c) 4/3
a
Let c = -0.322 - -147.322. Let z = c + -147.2. What is the nearest to -19 in z, -4, -1?
-4
Suppose 43*o + 105 = -345 - 66. What is the nearest to 14 in -2, -1, o?
-1
Suppose -56*u = -58*u + 14, -u - 8 = -3*l. Which is the nearest to 552? (a) 2 (b) l (c) 1
b
Suppose 24*y = -11*y + 1260. Let d be -1*y/(-42)*(-7)/(-8). Which is the closest to 0? (a) -0.6 (b) -6/7 (c) d
a
Let d = 3701 - 3690.985. Let w = d + -0.015. Which is the nearest to 1/3? (a) w (b) -2/21 (c) 4
b
Let g = -4684 + 4686. Which is the nearest to -3? (a) g (b) 0.7 (c) 0.2 (d) -2/7
d
Let f = 14.097 - 14.597. Let o = 15.2 - 15. What is the nearest to -1/6 in f, o, 5/3?
f
Let h = -1.9 - -2. Let p be 1 + 10/(-14) + (5068/98 - 48). Which is the closest to h? (a) 0.5 (b) p (c) -3/7
a
Let z = 1495 - 1588. Which is the nearest to -1? (a) z (b) -0.5 (c) 3
b
Let p = 0.36 - -0.14. Let o = 135/89 + -1433/534. Which is the closest to -3? (a) -2/5 (b) -4 (c) o (d) p
b
Let k be (-4 - 20/(-8))*130. Let o = -2143/11 - k. Let x = 232/15 - 46/3. What is the nearest to 1 in x, o, -5?
o
Let v = -0.11 + -10.89. Let c = 19 + v. Let q = 2244.1 + -2244. What is the nearest to q in c, 3/5, -2?
3/5
Let w = -2701 + 24299/9. What is the nearest to -4 in 0.4, -1/2, w?
w
Let l(p) = -p**2 + 12*p + 2169. Let k be l(53). What is the nearest to -1 in -0.3, k, 1/11, 0.2?
-0.3
Let x = -35.145 + 35.245. Suppose 3*n + 2*n - 5 = 0. Which is the closest to n? (a) 8 (b) -0.1 (c) -5 (d) x
d
Let s = -2486 + 2483. What is the closest to s in 11, -0.4, 4, 0?
-0.4
Let l = -1035.5 - -1036. Which is the nearest to -0.7? (a) l (b) -4/3 (c) -2 (d) -14
b
Let l = 18.7 - 19. Let s = 5.9 - 0.9. Let p = 0.1166 + -0.3166. What is the closest to p in s, 2, l?
l
Suppose 3*v + t = 2, 3 = -2*v + 3*t - 3. Let q = 4.10714 - 36.10714. Let k be (3/(-6))/(3/(-4)). Which is the nearest to v? (a) 2/13 (b) k (c) q
a
Let b = -2.4449 - 0.5551. What is the nearest to 2/9 in 1/8, b, -1/7, 3?
1/8
Let w be 5/9 + (((-936)/13)/18)/12. Let z(g) = -5*g - 29. Let o be z(-6). Let s = -0.01 - -2.01. Which is the closest to w? (a) -0.05 (b) s (c) o
a
Let j = 32081/6 + -5347. Which is the nearest to -67/6? (a) -2/9 (b) j (c) -4 (d) 0.2
c
Let j be ((-3)/(-102))/(-11*(-9)/198). Which is the nearest to -2? (a) -6 (b) 4/17 (c) j
c
Let b(n) = n**2 - n - 2. Let u be b(-2). Let q be 54/(-120) + 1/u. Let r be (-44)/(-10) + (-4)/12*12. What is the closest to -0.1 in 0.5, r, q?
q
Let x = 1813/11 + -165. Let y = -23 - -23.3. Which is the nearest to y? (a) 2 (b) x (c) 0.1
c
Suppose -10 = -2*w, 12*w - 754 = 2*y + 14*w. Let i = 383 + y. What is the closest to i in -2, -2.3, -1/2?
-1/2
Let p be 1/5 + (-64)/(-80). Let x = -5.1 - -1.8. Let i = -4.3 - x. Which is the closest to i? (a) p (b) 5 (c) -4
a
Let r = 342 + -203. Let q = 135 - r. What is the nearest to -0.1 in 0.5, 0.1, q?
0.1
Let u = 19574 - 19574.02. What is the closest to -1.1 in 0.2, u, 2/17?
u
Let q(z) = z**2 + 55*z + 412. Let r be q(-46). Which is the closest to -6? (a) -2/13 (b) r (c) 3 (d) 10
b
Let m = 6434 - 6439. What is the closest to -1/5 in 0.38, m, -1, 4?
0.38
Let u = -1.2 - -1. Let x = -95972 + 95972. What is the nearest to 4/7 in x, 1, 3/2, u?
1
Let p = -5877.5 + 5876.5. Let g = -87063/5 - -17499. Let w = g - 87. Which is the nearest to w? (a) p (b) 0.3 (c) 0.2
a
Let s be 1 + -3 + 112/60. Let o = 296/309 + -30/103. Which is the nearest to 0.1? (a) -0.1 (b) o (c) s
a
Suppose -b = -4*o + 1 + 7, -4*b = -5*o + 21. Suppose -2*n = -r + 3*r - 6, r + 3*n = o. What is the nearest to r in 0.2, 2/5, 0.3, -1/7?
2/5
Suppose 0 = 2*b + 10, s - 4*b - 12 = -3*s. Let m be (-75)/(-45)*(-378)/90. What is the nearest to -0.3 in m, s, 0?
0
Let w = -0.2011 - -0.2011. What is the closest to -2/13 in 0.2, -0.4, w, -0.043?
-0.043
Let u be ((-36)/105)/(13/5*1 + -3). Which is the closest to 2? (a) -3 (b) 0.2 (c) 3 (d) u
c
Suppose -t + 23 = -2*h, 3*t + 12 = -3*h - 9. Let x be (h/8)/((-51)/12 + 4). Let j = 0.2 + 0.8. What is the closest to j in -9, x, 1?
1
Let c = 5.686 + 0.014. Let z = c - 5.6. Let p = -2 - -4. What is the closest to 1/4 in z, 12/5, p?
z
Let g = -143.65 + 143.64. What is the closest to -0.14 in g, -3, 0.06?
g
Let k = 742.5 + -742.7. Let z(g) = -g + 3. Let p be z(6). Which is the nearest to k? (a) p (b) -1 (c) 0.4
c
Let y = -154456/9 + 17162. Let p = -0.5 - 0.5. Which is the closest to p? (a) 4 (b) 5/2 (c) y (d) 2
c
Let j be 2 + (-5)/((-45)/(-21)). Let h = -29/7 + 289/63. Let d be (-2 - (-122)/42) + (-50)/150. Which is the closest to 0? (a) d (b) h (c) j
c
Let s = 138.91 + 3.09. Let x = s + -137. What is the closest to -1/8 in -2/9, 1/7, x?
-2/9
Let f = 140/87 - 995/348. Which is the nearest to 9/16? (a) 5 (b) 1 (c) -4 (d) f
b
Let u = -3504 + 3505. What is the nearest to -1 in 2/3, u, 0.04?
0.04
Let d = -5 - -48. Let y = d + -42.98. Let q = y - 11.02. What is the nearest to 0 in -3, -1/10, q?
-1/10
Let v = 0.218 - 0.518. Let g = -95 - -96. Which is the closest to g? (a) -1 (b) -6 (c) -0.1 (d) v
c
Suppose u - q = 28, -2*u + 104 = 2*u - 2*q. Let x be 4*10/(-12)*u/(-20). Let b be -10*(-4)/22 + -2. What is the nearest to -0.2 in -2/13, x, b?
b
Let q = 0 - 0.1. Let s = 3074.4 + -3074. Let r = -14 - -6. Which is the nearest to 1? (a) r (b) s (c) q
b
Let i(h) = 2*h. Let v be i(-3). Let y be 2/4 - (-7)/v. Let u = -5580.7 + 5580.4. What is the nearest to 1 in u, y, -0.2?
-0.2
Let z = -2.29 - -2.113. Let m = -0.177 - z. Let x be (1 + 0 + 1)*-1. Which is the nearest to x? (a) -0.1 (b) -2 (c) m
b
Let z = -2258.6 + 2256.6. Which is the nearest to -220? (a) -1/2 (b) 0.4 (c) z (d) -3
d
Let w = 19 + -17. Let b = -0.819 - -1.319. What is the closest to -2/3 in w, b, 0.8?
b
Let g = -6390 + 6393. What is the closest to 1 in -25, 0, -5, g?
0
Let u = -535.0581 - -535. Let d = u - -8.0581. Let z be 9/30 - (-2)/(-4). What is the nearest to z in d, -5, 1?
1
Let i(r) = r**3 - 5*r**2 - 2*r + 3. Let x be i(6). Let q be 2/(2/3) - -27. Let n = q - x. Which is the closest to n? (a) -0.5 (b) 2/7 (c) 3/5
c
Suppose -6 = 2*i, -2*q + 13 = 2*i + 25. Which is the nearest to 1? (a) q (b) 53 (c) -6
a
Let s = -20 - -16. Let d = -1665 - -1666. Which is the closest to d? (a) s (b) 2/7 (c) -0.08
b
Let f be (-8320)/42 + (32/56 - (-2)/21). Suppose 0 = -5*s + 967 + 18. Let n = s + f. Which is the closest to -2/3? (a) -4 (b) n (c) -0.5
c
Let m = -254 - -441. Let z = -188 + m. Which is the nearest to -1? (a) -2/3 (b) -9 (c) z
c
Let o = 713/4719 + 1/363. Let h = 36/65 - o. Which is the closest to -4? (a) 0.2 (b) h (c) 1/3
a
Let h = 714.9 + 238.1. Le | {
"pile_set_name": "DM Mathematics"
} |
t the prime factors of b(q).
2, 3
Suppose 147 = 46*t - 45*t. Suppose -8*g + t = 3*m - 5*g, 3*m + g = 149. List the prime factors of m.
2, 5
Let z = 393 - 233. Suppose 20*t = 24*t - z. Let l = t - -10. What are the prime factors of l?
2, 5
Suppose -5*o = -10*o - 2*y - 9631, 1919 = -o + 2*y. Let q = o + 3720. List the prime factors of q.
5, 359
Suppose -50*f = -44*f - 312. Let q = -3 - f. Let p = 105 - q. List the prime factors of p.
2, 5
List the prime factors of ((-1371)/5)/(27/(-58590)*21).
2, 31, 457
List the prime factors of (-7 - 26)/(-11) - 211*(-82 + -2).
3, 19, 311
Let n = 121 + -142. Let v(y) = 2*y**2 + 5*y - 9. What are the prime factors of v(n)?
2, 3
Let a(j) = 44*j**2 + 5. Let c be a(-4). Let p = 20448 - 20943. Let q = c + p. What are the prime factors of q?
2, 107
List the prime factors of 1066 + -8*(-195)/120.
13, 83
Suppose 16*l = -5*d + 165529, 0*d - 132392 = -4*d - 5*l. List the prime factors of d.
3, 3677
Let w(f) = f**2 - 22*f - 19. Suppose l - 90 = -5*l. Let s be w(l). Let v = 241 + s. List the prime factors of v.
3, 13
Let n = -567 - -801. Let o be (390 - 400)*((-81)/2 - -1). Let w = o - n. What are the prime factors of w?
7, 23
Let w(t) = 29*t - 232. Let f be w(8). List the prime factors of -295*(-1 - f/6).
5, 59
Let c(y) = 16*y**2 - 9*y**2 - y**2 - 56 - 9*y - 5*y**2. List the prime factors of c(15).
2, 17
Suppose 0 = -218*r + 221*r - 1428. Let w = 772 - r. What are the prime factors of w?
2, 37
Suppose 0 = -115*h + 3861315 - 301030. List the prime factors of h.
83, 373
Let x = 63 + -57. What are the prime factors of ((-11800)/150)/((-2)/x)?
2, 59
Let z = 4737 + 55403. What are the prime factors of z?
2, 5, 31, 97
Suppose -38*t + l + 27333 = -37*t, 3*l - 82011 = -3*t. List the prime factors of t.
5, 7, 11, 71
Let x be 1 + -3 - (-5 + 3). Let v(u) = u**3 - 3*u**2 + 13*u - 29. Let d be v(3). Suppose -1580 = -x*g - d*g. What are the prime factors of g?
2, 79
Let t(j) = 47 + 86 - 28 + 32 - 21*j + 19*j. Suppose 2*g = 3*g. List the prime factors of t(g).
137
Suppose -2*w - 304 = -392. Suppose -10392 = -w*s + 4216. List the prime factors of s.
2, 83
Suppose 0*z - 2*z + 106 = 0. Suppose -z + 47 = -3*c. Suppose -3*k = -2*i - 562, -5*k + 910 = -0*k + c*i. List the prime factors of k.
2, 23
Suppose -14*z = 38*z - 17*z. Suppose z = t - 2*n - 476, -5*t = -6*t + n + 479. List the prime factors of t.
2, 241
Let j = 117 + -129. Let d(g) = -15*g + 18. What are the prime factors of d(j)?
2, 3, 11
Suppose -9*j - 5*j + 94078 = 3*j. List the prime factors of j.
2, 2767
Let l(s) = 133*s**3 - 11*s**2 + 52*s + 44. What are the prime factors of l(5)?
2, 11, 757
Suppose -4*j = -31*j + 21816. Let t = -484 + j. What are the prime factors of t?
2, 3
Let m = -60 + 65. Suppose f = 4*y - 4, -m*f + 10*f + 2 = 2*y. Suppose f = 31*q - 30*q - 220. What are the prime factors of q?
2, 5, 11
Let m = 4 + -2. Suppose -5*t + m*c + 143 = -2, -t + 37 = -2*c. Let l = t - -11. What are the prime factors of l?
2, 19
Suppose t = 3*k + 2*k - 93, -5*k + 97 = t. Suppose -k*l + 32 = -11*l. Suppose -2*u = l*d - 1012, 3*d + 2*u + 1020 = 7*d. What are the prime factors of d?
2, 127
Let p = 31313 - 16348. List the prime factors of p.
5, 41, 73
Let c(s) = -2*s**2 + 4*s + 11. Let l be c(5). Let b = l + 26. Suppose 0 = 3*q + 9, b*q - 5*q - 294 = -2*d. List the prime factors of d.
2, 3, 5
Suppose -3*d + 7*d - 5*p - 7717 = 0, 0 = -5*d - 2*p + 9638. Suppose 5*r - c - 3*c - d = 0, -c = 3*r - 1150. What are the prime factors of r?
2, 3
Suppose 0 = 5*l - 4*n - 77, 2*n - 7 = -l - 0. Suppose -896 = l*k + k. List the prime factors of 260 + -2 + k/16.
2, 127
Let c(t) = -t**3 - 11. Let h be c(0). Let a = 426 + h. What are the prime factors of a?
5, 83
Let j(g) = -g**3 + 4*g**2 - 117*g + 193. What are the prime factors of j(-25)?
3, 73, 97
Suppose 18*w - 450990 = -3*a, -2*a - 17 = -5. What are the prime factors of w?
2, 3, 29
Let z = -327 - -523. Let y = z - 16. Suppose y = -4*b + 14*b. What are the prime factors of b?
2, 3
Let v be ((-149)/3)/((-2)/(-6)). Let b be (-2 - -350)*(-20)/(-30). Let m = v + b. What are the prime factors of m?
83
Let o = -33 + 34. Let d be (33/6 - 4)/(o/(-14)). Let i = d + 30. What are the prime factors of i?
3
Suppose -7279 = -2*n - 0*n + 3*w, 0 = w - 5. Suppose d = 8*d - n. Suppose -3*l - 4*v + 2*v + d = 0, 0 = 2*v + 10. List the prime factors of l.
3, 59
Let d(m) = -4*m**2 - 4*m + 15. Let g(c) = -9*c**2 - 9*c + 31. Let p(a) = -7*d(a) + 3*g(a). List the prime factors of p(-22).
2, 3, 5
Let t = -1252 + 7175. List the prime factors of t.
5923
Suppose 0 = 4*n - 2*g - 39120 - 16102, -55197 = -4*n - 3*g. What are the prime factors of n?
3, 43, 107
Let c = 22359 - 17370. What are the prime factors of c?
3, 1663
Suppose 0*p = -3*j + p - 315, 0 = 3*p. Let f = j - -301. Let y = f - 51. List the prime factors of y.
5, 29
Let b(d) = -d**2 - d - 36. Let p be b(0). Let h = p - -40. Suppose h*s - 20 = -s, -5*s + 230 = 3*g. What are the prime factors of g?
2, 5, 7
Let g(u) = u**2 - 5*u. Let s be g(3). Let x(y) = 21*y**2 + 34*y + 7. What are the prime factors of x(s)?
13, 43
Let n = -19 - -32. What are the prime factors of -1*n/2*(-1014)/13?
3, 13
Let d(g) = 3*g**3 - 7*g**2 + 3*g + 2. Let m be d(2). Let j be m/(-6)*(15 + -12). List the prime factors of ((-149 - -5)/6)/j.
2, 3
Let s be 9/(-15) - 10/75*-27. Suppose 0 = 10*r - 6*r + c - 2537, -618 = -r + s*c. List the prime factors of r.
3, 211
Let y = -26 + 30. What are the prime factors of ((-1312)/12)/y*-15?
2, 5, 41
Let w be -1*28/1*(-1770)/60. Let p = -270 + w. List the prime factors of p.
2, 139
Suppose -11400 = -9*p + 5*p. Suppose 0 = v + 2*z - 567, 0 = v - 6*v + 5*z + p. What are the prime factors of v?
569
Let p(r) = 287*r**2 + 36*r - 8. What are the prime factors of p(-5)?
3, 17, 137
Let l(d) = d**3 + 2*d**2 - d - 4. Let m be l(3). Suppose 66 = 4*i - m. Suppose -i = -n + g + g, 20 = 4*g. List the prime factors of n.
2, 3
Suppose -o - 4*o = 5*d - 5, 4*o = -d + 4. Let a = 180 + -161. Suppose d = 3*q - 5 - a. What are the prime factors of q?
2
List the prime factors of 4/8*-2 - 95300/(-6 - -1).
3, 6353
Suppose 0 = -4*j - 4*a + 19570 + 11586, 4*j - a = 31166. What are the prime factors of j?
3, 7, 53
Suppose -2*v + 47 = -5*v - n, 5*v + 75 = -5*n. Let t be (v/(-10))/((-2)/(-15)). Suppose 0 = 6*z - t*z + 150. What are the prime factors of z?
5
Let y(z) = 11*z**2 - 5*z - 1. Let w(f) = -f**2 - 25*f - 12. Let t be w(-22). Let q = t + -52. What are the prime factors of y(q)?
3, 11
Let b(f) = -244*f**3 + 2*f**2 + 35*f + 230. What are the prime factors of b(-6)?
2, 67, 197
Suppose -5*r - 65 = -100. What are the prime factors of 4*(320/r + (-22)/(-77))?
2, 23
Let h(s) = 3*s**3 - 5*s**2 - s - 8. Let f(i) = 127*i**2 + i. Let y be f(1). Let m = y - 124. List the prime factors of h(m).
2, 5
Suppose 0 = 2*g + 27 - 33. Let u(j) = 259*j + g - 276*j - 8. List the prime factors of u(-7).
2, 3, 19
Suppose -38*p + 44*p = 3558. Suppose 8*m = 10*m + 4*b - 1226, 0 = -m + 2*b + p. List the prime factors of m.
3, 67
Suppose -65*s - 91*s = -4142506 - 406142. List the prime factors of s.
2, 61, 239
Let o be (5/(-20))/(2/8). Suppose -d - 3*z - 11 = 2, 5*d + 4*z = -32. What are the prime factors of (65 - (d + 8))/(o/(-2))?
2, 61
Let f = -38207 + 56015. List the prime factors of f.
2, 3, 7, 53
Suppose -42*u - 8197 + 30169 = -51276. What are the prime factors of u?
2, 109
Let g = 62 + 48. What are the prime factors of g/(-88) - (-1729)/4?
431
Let o(t) = t**3 - 31*t**2 + 32*t - 38. Let u be o(30). Suppose u*l = 17*l - 10. List the prime factors of (l*210/(-25))/(2/25).
2, 3, 5, 7
Suppose -j + 2*n + 579 = 0, -10*j + 13*j + 3*n - 1764 = 0. Suppose -2*w + 279 = -j. List the prime factors of w.
2, 3
Let b(j) = -j**3 - 5*j**2 - 3*j - 11. Let l be b(-5). Suppose 0 = l*h + 8, y - 4*h - 20 = -2*y. List the prime factors of 45 - (-3 + 8/y).
2, 23
Suppose 0 = 5*u + 5*s + 10, 3*s = -6*u + u. Suppose -w + 2896 - 159 = u*o, -5*o = w - 4563. List the prime factors of o.
11, 83
Let x(t) = -t**3 - 7*t**2 - 39*t - 1. Suppose 7*s - 2*s + c + 27 = 0, -18 = 4*s + 2*c. List the prime factors of x(s).
197
Let d(h) = -h**2 - 6*h + 21. Let k be d(-9). Let u(r) = -76*r - 32. Let m be u(k). Suppose 6*v - m + 82 = 0. What are the prime factors of v?
3, 19
Suppose -182454 = -3*y - | {
"pile_set_name": "DM Mathematics"
} |
when (-105042)/(-112) - (-4 + 124/32) is divided by 157?
153
Suppose 0 = -24*v + 132353 + 200143. What is the remainder when v is divided by 163?
162
Let j(b) = 10*b**3 + b**2 - 7*b - 55. What is the remainder when j(6) is divided by 75?
74
Suppose 7 = c + j - 2*j, 26 = 5*c - 2*j. Calculate the remainder when 150 is divided by c.
2
Let q = 156 - 144. Suppose -16 = f - 5*f, 5*f = -3*x + 2. What is the remainder when 44 is divided by (x/q)/(2/(-36))?
8
Let v(a) = a**3 + 11*a**2 - 13*a - 11. Let c be v(-12). Suppose 2*p + p = 2*y + c, 5*p - 2*y + 5 = 0. Calculate the remainder when p*1*(-52)/4 is divided by 10.
9
Suppose -2*i = 14, 199*h - 196*h + i - 4334 = 0. Calculate the remainder when h is divided by 9.
7
What is the remainder when (4/(-5))/(8/(-1860)) - -2 is divided by 4?
0
Suppose -13*g - 41*g + 73337 = 5*g. What is the remainder when g is divided by 30?
13
Suppose 195*a + 197*a + 10584 = 400*a. What is the remainder when a is divided by 6?
3
Let l be ((28/(-3))/(-7))/((-2)/6). Let w be -8 - l - 279/3. Let m = w - -107. What is the remainder when 88 is divided by m?
8
What is the remainder when 230 is divided by (-6)/(-5)*(-5 - (-4500)/54)?
42
Let u be 18/(-15) - 2/30*-3. Calculate the remainder when 259 is divided by ((-21)/(-14)*-4)/(u/11).
61
Let a = -10 - -102. Let p = a + -79. What is the remainder when 49 is divided by p?
10
Let a(x) = 247*x + 108. What is the remainder when a(1) is divided by 177?
1
Suppose 4*r - 105 = w, 3*r - w = 53 + 26. Suppose -29*s = 84 - 12032. Let m = -206 + s. What is the remainder when m is divided by r?
24
Suppose 5*i = i - 4, -4*i - 175 = 3*w. Let g = 20 - w. What is the remainder when g is divided by (88/(-198))/((-6)/135)?
7
Calculate the remainder when 38 - (-77027)/170 - 2/20 is divided by 5.
1
Calculate the remainder when 3272 is divided by (30 - 6)/2 + 207/23.
17
Suppose w = 4*m - 14, 5*w + 16*m = 19*m + 49. Calculate the remainder when 2974 is divided by w.
6
Suppose -3*p + 186 = 3*u, 2*p + 275 = -10*u + 15*u. What is the remainder when 332 is divided by u?
47
Let n = -50 + 78. What is the remainder when 384/(-6)*(-4 + 3) is divided by n?
8
What is the remainder when 2040 is divided by 1090/654 - ((-111)/9 - 2)?
8
Calculate the remainder when 1043 is divided by (-190)/25*(3756/(-136) - (-10)/85).
207
Let l(x) = 4*x**2 - 5*x - 78. Let j be l(-10). Let f = j - 238. What is the remainder when f is divided by 35?
29
Calculate the remainder when 1/((-7)/10)*(1301 + -1574) is divided by 113.
51
Let k = 34 + -54. Let u = 43 + k. Suppose -b = 4*t - u, 3*t - 6 - 9 = 0. Calculate the remainder when 10 is divided by b.
1
Suppose -3*w + 227 = -h, 3*w + 3*h + 219 = 6*w. Suppose -5*f + 33 = -w. What is the remainder when f is divided by 4?
2
Calculate the remainder when 418 is divided by (-35)/(-56)*14*4/1.
33
Suppose 1202 = 11*r - 8137. Suppose 0 = -d - r + 903. Calculate the remainder when 155 is divided by d.
47
Let d = 6717 - 6608. Calculate the remainder when 530 is divided by d.
94
Suppose 792 = -10*o + 34*o. What is the remainder when 5442 is divided by o?
30
Let w(i) = -i + 24. Let b be (1 - (-627)/(-3))*-1. Suppose 9*x = 7*x + b. What is the remainder when x is divided by w(9)?
14
Suppose 0 = 5*c - 3*c + 4. Let p(z) = 6*z - 6. Calculate the remainder when 65*(1/(-5) - c/2) is divided by p(4).
16
Suppose -589 = -4*c + 3*i, -4*c - 79*i = -78*i - 609. Calculate the remainder when c is divided by 38.
37
Suppose 89*b - 404*b = -82215. What is the remainder when 1321 is divided by b?
16
Let u = 2996 - 2949. Calculate the remainder when 245 is divided by u.
10
Let w be 1/13*13*(555 + 2). Let k = w - 138. What is the remainder when k is divided by 105?
104
Suppose 3*d + 2*d = 15. Suppose d*f + 198 = 9*f. What is the remainder when 84 is divided by f?
18
Suppose -4*t + 4*d + 1516 - 332 = 0, -4*t + 1149 = -9*d. What is the remainder when t is divided by (-2)/(20/(-9) - -2)?
6
Let j = -4 - -7. Let a(i) be the third derivative of i**6/20 - i**5/15 + i**4/24 - i**3 - 8*i**2 + 1. Calculate the remainder when a(j) is divided by 31.
30
Suppose -71*q + 255*q = 14*q + 3060. What is the remainder when 1817 is divided by q?
17
Let z be (208/(-24))/(2/12). Let x = 120 - 49. Let d = z + x. What is the remainder when 75 is divided by d?
18
Let q(f) = 8*f + 2. Let p(y) = -y**2 - 13*y - 10. Let u(r) = -r**3 - 7*r**2 + 7*r + 39. Let j be u(-7). Calculate the remainder when q(7) is divided by p(j).
18
Let x = -211 + 216. Suppose 0 = -2*i - x*q + 64, 5*i - 3*q + 0*q - 160 = 0. Let m = 11 + -6. Calculate the remainder when i is divided by m.
2
Suppose -2*i - i + 2*k = -896, 2*k = i - 296. Suppose 12*t + i = 15*t. What is the remainder when t is divided by 36?
28
Let s(o) = -9*o + 1. Suppose -3*y - 5*d = -7*d - 160, -175 = -3*y + 5*d. Calculate the remainder when y is divided by s(-2).
12
Suppose 10*h - 6*h - 668 = 0. Suppose -4*a = -76*f + 75*f + 42, 5*f + 5*a = 160. Calculate the remainder when h is divided by f.
31
Calculate the remainder when 6390 is divided by -38 + 21 + (290 - 27).
240
Let b(r) = r**2 - 148*r + 4898. What is the remainder when 4377 is divided by b(101)?
149
Let v(n) = -3*n - 31. Let c be v(-12). Suppose -4*s = c*o - 338, -s - 10 = -6*s. Calculate the remainder when o is divided by (1 - (-3)/(-5))*35.
10
Let v = -25 - -81. Let u(p) = -p**2 - 24*p - 42. Let r be u(-22). Let z(j) = 25*j - 31. What is the remainder when v is divided by z(r)?
18
Let i(g) = -165*g**2 + 8*g - 10. Let t be i(8). What is the remainder when 271 is divided by t/(-663) - 4/(-26)?
15
Let z(b) = 6*b**2 + 4*b - 2. Let q(o) = -o**3 - 13*o**2 - 2. Let w be q(-13). Calculate the remainder when 40 is divided by z(w).
12
Let h be ((-2)/(-4))/(6 + 6362/(-1060)). Let s = 539 + h. What is the remainder when s is divided by 25?
24
Let r be 2660/285*(-6)/(-4). Suppose -r*y - 923 = -27*y. What is the remainder when y is divided by 44?
27
Suppose 0 = 5*c - 424 - 456. Suppose -5*u - 4*r + 1240 = -7*r, 0 = -u - 4*r + 248. Let g = u - c. Calculate the remainder when g is divided by 15.
12
What is the remainder when 246 is divided by 2/(2*1 - ((-210)/66 - -5))?
4
Let m = -2922 + 2939. Calculate the remainder when 1609 is divided by m.
11
Suppose 66*b - 240 = 26*b. Calculate the remainder when 179 is divided by b.
5
Let t(o) = 117*o - 2. Let k be t(6). Suppose 3*f - k = -91. Suppose -115*y - 8160 = -355*y. What is the remainder when f is divided by y?
33
Suppose -n + 59 = -2*b, 216 = 2*n + 2*b + 152. Calculate the remainder when 395 is divided by n.
26
Let c(r) be the second derivative of 5*r**4/12 + r**3/2 + 17*r. What is the remainder when 48 is divided by c(2)?
22
Suppose 153 + 84 = -k - 4*z, 2*k = 3*z - 474. Let p = 316 + k. What is the remainder when 552 is divided by p?
78
Let x = 117 - 152. Let z = 107 + x. Calculate the remainder when z is divided by 5.
2
Let h be 7/9 + -1 + (-184)/(-18). Suppose h*l = 49 + 41. What is the remainder when l is divided by 2?
1
What is the remainder when 527142/10269*(0 - -1)/((-1)/(-6)) is divided by 32?
20
Calculate the remainder when 1397 is divided by (588/(-35) + 17)/(1/50).
7
Suppose -c + 4*w - 22 = 257, 5*w - 1149 = 4*c. Let y = -274 - c. Let m = -10 + 18. Calculate the remainder when y is divided by m.
1
Suppose -52 = -3*m - m. Suppose -163*n = -15506 - 10248. Suppose -232 = -m*u + n. Calculate the remainder when 117 is divided by u.
27
Suppose -122 = -2*j + 190. Suppose 0 = 19*k - 20*k - 3*d + 31, 0 = k - 5*d - 39. Calculate the remainder when j is divided by k.
20
Suppose 12 + 6 = -6*t. Let f = 59 + t. Calculate the remainder when 222 is divided by f.
54
Suppose 4*z = 2*w - 182, 3*z - 4 = z. Suppose 7*v + 22 = f + 4*v, 0 = -f - v + 6. Calculate the remainder when w is divided by f.
5
Suppose 9*q - 12*q + 268 = 2*s, 0 = s + 1. What is the remainder when 1527 is divided by q?
87
Let k(h) = 3*h**3 - 5*h**2 - 3*h + 23. What is the remainder when 471 is divided by k(4)?
102
Let c(q) = q**2 - 11*q - 23. Let p be c(13). Suppose 16 = -p*f + 5*f. Suppose -x = -24 + f. What is the remainder when 63 is divided by x?
15
Suppose -44*a + 275 = -19*a. Let j = -28 - -115. Calculate the remainder when j is divided by a.
10
Suppose 0*w + 4*w = 3*t + 1, -w - t + 9 = 0. What is the remainder when 0 + 1 - -20 - 16/4 is divi | {
"pile_set_name": "DM Mathematics"
} |
mmon divisor of 3361597 and 4777?
17
Calculate the highest common divisor of 2204693 and 41.
41
What is the greatest common factor of 3429 and 268623?
27
Calculate the highest common divisor of 5735 and 360553715.
5735
What is the highest common factor of 1538110 and 49?
49
What is the highest common divisor of 570 and 846310?
10
Calculate the highest common factor of 618 and 4797654.
6
Calculate the greatest common factor of 875600 and 495.
55
Calculate the greatest common divisor of 26488 and 21084.
28
Calculate the highest common factor of 115 and 156234653.
23
Calculate the greatest common factor of 7443 and 2167.
1
What is the greatest common factor of 243 and 28208412?
243
Calculate the highest common divisor of 14216096 and 160.
32
Calculate the highest common divisor of 398463 and 234.
39
What is the greatest common factor of 10036668 and 90534?
1146
Calculate the greatest common factor of 498042 and 307968.
2406
What is the highest common factor of 321404068 and 776?
388
Calculate the greatest common divisor of 3495294 and 11259.
1251
Calculate the highest common divisor of 5878182 and 114.
114
What is the highest common factor of 1171399391 and 6473?
6473
Calculate the greatest common divisor of 4340 and 49030220.
620
What is the greatest common factor of 434798 and 52234?
182
Calculate the highest common factor of 155406 and 207267.
177
What is the highest common factor of 93 and 41007761?
31
What is the highest common divisor of 1415901 and 1068?
267
What is the highest common divisor of 7077 and 30131507?
2359
What is the highest common divisor of 47496790 and 230?
10
What is the greatest common factor of 59214366 and 234?
18
Calculate the greatest common divisor of 12723648 and 108.
12
Calculate the highest common factor of 90 and 2027653230.
30
Calculate the greatest common divisor of 1306672 and 4832.
16
What is the highest common factor of 619102 and 140063?
1177
Calculate the greatest common divisor of 30923 and 498406.
1819
Calculate the greatest common factor of 2504 and 296411.
313
Calculate the greatest common divisor of 96036 and 343374.
906
What is the greatest common divisor of 1437401 and 7616?
119
What is the greatest common divisor of 1325802 and 9238?
298
What is the greatest common factor of 10896346 and 1270?
254
What is the greatest common factor of 3838035 and 165?
15
What is the highest common divisor of 37244064 and 6204?
132
Calculate the highest common factor of 7538103 and 469.
67
What is the highest common divisor of 14911 and 2628769?
403
Calculate the greatest common divisor of 9571 and 73967.
17
What is the highest common divisor of 325402233 and 2535?
507
Calculate the greatest common divisor of 164 and 404752.
164
Calculate the highest common divisor of 968791110 and 406.
406
What is the highest common factor of 1496 and 19690080?
136
Calculate the highest common factor of 9576634 and 122.
122
What is the greatest common factor of 54 and 1174293?
9
Calculate the greatest common divisor of 8 and 1149367832.
8
What is the highest common divisor of 184897 and 5175?
23
Calculate the highest common factor of 3854814 and 162270.
3606
Calculate the greatest common divisor of 864467 and 34.
17
Calculate the highest common divisor of 38627 and 25898387.
2033
What is the greatest common factor of 4756 and 347884?
116
Calculate the highest common divisor of 4842 and 7852110.
1614
Calculate the highest common factor of 86625656 and 992.
248
What is the greatest common factor of 82824 and 78744?
408
Calculate the greatest common divisor of 121594 and 34353.
11
What is the greatest common factor of 9476 and 1986740?
92
What is the highest common factor of 34 and 455701796?
34
What is the greatest common divisor of 4963591 and 74863?
1741
Calculate the greatest common factor of 10103203 and 751.
751
Calculate the greatest common divisor of 45603338 and 65582.
5962
Calculate the highest common divisor of 9612 and 1686144.
12
Calculate the greatest common divisor of 28400 and 1296400.
400
What is the highest common factor of 68720650 and 10?
10
Calculate the greatest common divisor of 115580290 and 35.
35
Calculate the greatest common factor of 9635 and 2104895.
235
Calculate the greatest common divisor of 168 and 2001176.
8
Calculate the greatest common factor of 2 and 16114848.
2
What is the greatest common divisor of 14363727 and 1947?
177
What is the greatest common divisor of 38520210 and 20?
10
What is the highest common divisor of 270 and 1266800?
10
Calculate the greatest common divisor of 5335 and 12235.
5
What is the greatest common factor of 38040760 and 2760?
40
Calculate the greatest common divisor of 3496552845 and 309.
309
What is the highest common divisor of 1338 and 89358?
6
Calculate the highest common factor of 132622 and 42322.
14
What is the greatest common divisor of 1901482 and 8322?
38
Calculate the greatest common factor of 16753 and 2005791.
1523
Calculate the highest common factor of 5894 and 1234372.
842
What is the greatest common divisor of 15099125 and 8955?
995
What is the greatest common factor of 21622 and 992?
2
Calculate the greatest common divisor of 63 and 7687440.
9
What is the highest common factor of 23808 and 756462?
186
What is the highest common divisor of 43556 and 621?
1
What is the greatest common divisor of 2234825 and 11625?
25
What is the greatest common divisor of 26 and 260927914?
26
What is the highest common factor of 690 and 2035270?
230
Calculate the highest common divisor of 14787 and 13602397.
1643
What is the highest common divisor of 37390556 and 6?
2
What is the highest common divisor of 58770 and 110?
10
Calculate the highest common divisor of 7165394 and 171.
19
What is the greatest common factor of 17325152 and 3744?
416
What is the greatest common divisor of 19630089 and 108?
9
Calculate the highest common factor of 11396613 and 34.
17
What is the greatest common factor of 26 and 804035128?
26
Calculate the greatest common divisor of 7131 and 1859814717.
7131
What is the highest common divisor of 776094 and 59532?
726
What is the greatest common divisor of 2071104 and 156?
12
What is the greatest common factor of 264 and 56662584?
264
Calculate the greatest common factor of 336 and 2411934.
42
Calculate the highest common factor of 165110 and 1756645.
1045
Calculate the highest common divisor of 14714912 and 272.
16
Calculate the highest common divisor of 436149 and 47187.
441
Calculate the greatest common divisor of 529 and 2423786.
23
What is the greatest common factor of 740 and 37620?
20
Calculate the highest common factor of 28681 and 523181.
989
What is the greatest common divisor of 207 and 224552151?
207
Calculate the greatest common factor of 1320 and 3139935.
15
What is the greatest common factor of 1406 and 173190377?
703
What is the highest common divisor of 606995 and 530?
5
What is the highest common factor of 102466 and 458458?
182
What is the highest common divisor of 68 and 36856646?
34
Calculate the greatest common factor of 6797445 and 4149.
1383
Calculate the greatest common factor of 1701 and 426805281.
567
What is the greatest common factor of 702 and 333127782?
702
Calculate the highest common divisor of 7025 and 1345.
5
What is the greatest common factor of 389974 and 1270516?
1378
Calculate the greatest common divisor of 20284 and 780012.
1844
What is the highest common factor of 17627961 and 468?
39
What is the greatest common factor of 42159 and 283739?
47
Calculate the highest common factor of 38166126 and 20391.
2913
Calculate the greatest common factor of 7653599 and 237.
79
What is the highest common divisor of 2047838 and 1580?
158
Calculate the greatest common divisor of 1995 and 128640.
15
Calculate the highest common divisor of 25838252 and 22.
22
Calculate the greatest common factor of 10685344 and 9080.
1816
What is the greatest common factor of 146 and 36844414?
146
What is the highest common divisor of 31822644 and 2983?
2983
What is the highest common factor of 6750404 and 12628?
164
What is the greatest common factor of 1911410 and 55?
5
What is the highest common factor of 548 and 518959288?
548
Calculate the greatest common divisor of 19600 and 20628608.
784
Calculate the greatest common factor of 574494 | {
"pile_set_name": "DM Mathematics"
} |
nutes are there between 12:42 AM and 8:07 AM?
445
How many minutes are there between 8:42 PM and 8:11 AM?
689
What is 355 minutes after 1:08 PM?
7:03 PM
What is 103 minutes before 10:34 AM?
8:51 AM
What is 591 minutes before 6:07 PM?
8:16 AM
How many minutes are there between 11:27 AM and 6:13 PM?
406
What is 344 minutes after 11:48 AM?
5:32 PM
How many minutes are there between 5:40 AM and 8:54 AM?
194
What is 408 minutes before 12:46 AM?
5:58 PM
How many minutes are there between 6:01 PM and 3:31 AM?
570
How many minutes are there between 3:30 AM and 1:39 PM?
609
How many minutes are there between 7:45 PM and 7:04 AM?
679
How many minutes are there between 9:22 AM and 7:49 PM?
627
What is 570 minutes before 9:31 PM?
12:01 PM
What is 588 minutes after 3:24 AM?
1:12 PM
How many minutes are there between 5:40 PM and 2:39 AM?
539
What is 144 minutes after 12:28 PM?
2:52 PM
What is 289 minutes before 8:27 PM?
3:38 PM
What is 12 minutes before 11:45 PM?
11:33 PM
What is 682 minutes before 3:03 AM?
3:41 PM
How many minutes are there between 11:45 AM and 11:28 PM?
703
What is 660 minutes after 3:46 PM?
2:46 AM
How many minutes are there between 1:06 AM and 1:55 AM?
49
How many minutes are there between 9:45 PM and 2:48 AM?
303
What is 141 minutes before 5:51 AM?
3:30 AM
How many minutes are there between 3:42 AM and 5:13 AM?
91
How many minutes are there between 7:32 AM and 8:35 AM?
63
How many minutes are there between 7:56 PM and 5:02 AM?
546
What is 67 minutes before 2:13 AM?
1:06 AM
What is 331 minutes after 7:21 PM?
12:52 AM
What is 310 minutes before 9:00 PM?
3:50 PM
What is 237 minutes before 8:23 PM?
4:26 PM
How many minutes are there between 3:34 PM and 7:59 PM?
265
How many minutes are there between 6:39 PM and 5:13 AM?
634
How many minutes are there between 5:44 PM and 1:55 AM?
491
What is 631 minutes before 5:40 PM?
7:09 AM
What is 410 minutes after 1:12 AM?
8:02 AM
How many minutes are there between 2:24 PM and 7:07 PM?
283
How many minutes are there between 10:08 PM and 1:25 AM?
197
How many minutes are there between 1:09 AM and 11:36 AM?
627
What is 243 minutes before 10:12 PM?
6:09 PM
What is 236 minutes before 9:52 PM?
5:56 PM
What is 49 minutes before 6:51 PM?
6:02 PM
What is 266 minutes before 7:06 AM?
2:40 AM
What is 466 minutes before 7:04 PM?
11:18 AM
How many minutes are there between 10:38 AM and 11:26 AM?
48
How many minutes are there between 6:29 AM and 7:11 AM?
42
What is 445 minutes before 8:48 PM?
1:23 PM
What is 40 minutes after 1:19 PM?
1:59 PM
What is 705 minutes after 3:17 PM?
3:02 AM
How many minutes are there between 5:46 AM and 6:55 AM?
69
How many minutes are there between 3:06 AM and 7:26 AM?
260
What is 67 minutes before 7:40 PM?
6:33 PM
How many minutes are there between 12:56 AM and 9:04 AM?
488
What is 503 minutes before 12:59 AM?
4:36 PM
What is 625 minutes before 2:16 PM?
3:51 AM
How many minutes are there between 1:18 AM and 2:34 AM?
76
What is 310 minutes after 7:19 PM?
12:29 AM
What is 430 minutes before 1:14 AM?
6:04 PM
How many minutes are there between 12:53 AM and 7:41 AM?
408
How many minutes are there between 1:01 AM and 9:01 AM?
480
How many minutes are there between 1:35 PM and 5:45 PM?
250
How many minutes are there between 2:43 AM and 8:28 AM?
345
How many minutes are there between 8:34 AM and 3:20 PM?
406
How many minutes are there between 5:04 PM and 3:24 AM?
620
How many minutes are there between 1:04 PM and 10:07 PM?
543
What is 341 minutes before 11:30 PM?
5:49 PM
How many minutes are there between 1:24 PM and 5:27 PM?
243
How many minutes are there between 1:01 PM and 10:44 PM?
583
What is 302 minutes before 2:29 AM?
9:27 PM
How many minutes are there between 2:31 AM and 3:11 AM?
40
What is 528 minutes after 4:27 PM?
1:15 AM
How many minutes are there between 5:30 PM and 4:17 AM?
647
How many minutes are there between 9:01 PM and 11:34 PM?
153
What is 300 minutes before 4:08 AM?
11:08 PM
How many minutes are there between 10:37 PM and 4:09 AM?
332
How many minutes are there between 4:38 PM and 11:17 PM?
399
How many minutes are there between 11:43 PM and 2:49 AM?
186
What is 488 minutes before 9:13 PM?
1:05 PM
How many minutes are there between 3:15 PM and 1:26 AM?
611
How many minutes are there between 4:24 PM and 9:26 PM?
302
How many minutes are there between 5:59 PM and 6:35 PM?
36
How many minutes are there between 12:12 AM and 9:56 AM?
584
How many minutes are there between 3:08 AM and 2:39 PM?
691
What is 153 minutes after 4:17 PM?
6:50 PM
What is 492 minutes before 11:37 AM?
3:25 AM
What is 130 minutes after 7:21 AM?
9:31 AM
What is 279 minutes before 3:50 AM?
11:11 PM
How many minutes are there between 6:28 PM and 7:18 PM?
50
How many minutes are there between 7:08 AM and 12:50 PM?
342
What is 126 minutes before 11:53 PM?
9:47 PM
What is 25 minutes before 12:46 PM?
12:21 PM
What is 677 minutes after 3:57 AM?
3:14 PM
What is 609 minutes after 10:32 PM?
8:41 AM
How many minutes are there between 4:00 AM and 10:45 AM?
405
What is 107 minutes before 8:54 AM?
7:07 AM
What is 283 minutes after 2:47 PM?
7:30 PM
What is 127 minutes after 3:57 AM?
6:04 AM
How many minutes are there between 8:57 AM and 5:02 PM?
485
How many minutes are there between 9:08 PM and 4:55 AM?
467
How many minutes are there between 1:07 PM and 1:49 PM?
42
What is 714 minutes after 7:16 AM?
7:10 PM
How many minutes are there between 10:13 PM and 5:03 AM?
410
How many minutes are there between 1:25 AM and 10:31 AM?
546
How many minutes are there between 4:12 AM and 2:42 PM?
630
How many minutes are there between 3:02 PM and 7:55 PM?
293
How many minutes are there between 1:20 PM and 11:17 PM?
597
What is 591 minutes after 2:12 AM?
12:03 PM
What is 457 minutes after 4:01 PM?
11:38 PM
What is 243 minutes after 11:13 PM?
3:16 AM
What is 132 minutes after 12:46 AM?
2:58 AM
What is 128 minutes after 9:45 AM?
11:53 AM
How many minutes are there between 4:15 AM and 5:17 AM?
62
What is 525 minutes after 3:04 AM?
11:49 AM
How many minutes are there between 3:41 AM and 9:09 AM?
328
How many minutes are there between 5:20 PM and 10:38 PM?
318
How many minutes are there between 12:55 PM and 3:14 PM?
139
What is 470 minutes after 10:42 AM?
6:32 PM
What is 444 minutes after 2:05 PM?
9:29 PM
What is 25 minutes after 8:31 AM?
8:56 AM
How many minutes are there between 5:45 PM and 3:41 AM?
596
How many minutes are there between 2:51 AM and 12:33 PM?
582
What is 662 minutes before 2:05 PM?
3:03 AM
How many minutes are there between 7:35 PM and 11:04 PM?
209
What is 680 minutes before 1:03 PM?
1:43 AM
What is 669 minutes before 11:31 PM?
12:22 PM
How many minutes are there between 1:12 AM and 10:02 AM?
530
What is 50 minutes after 11:54 PM?
12:44 AM
How many minutes are there between 8:59 PM and 12:26 AM?
207
What is 107 minutes before 6:53 PM?
5:06 PM
How many minutes are there between 10:28 PM and 3:38 AM?
310
What is 491 minutes before 8:31 PM?
12:20 PM
What is 607 minutes before 1:32 PM?
3:25 AM
What is 315 minutes after 9:39 AM?
2:54 PM
What is 530 minutes before 3:28 AM?
6:38 PM
What is 678 minutes after 10:57 AM?
10:15 PM
What is 136 minutes after 11:47 PM?
2:03 AM
What is 530 minutes before 6:46 PM?
9:56 AM
How many minutes are there between 9:24 AM and 10:24 AM?
60
How many minutes are there between 5:53 PM and 7:50 PM?
117
How many minutes are there between 10:19 PM and 8:04 AM?
585
How many minutes are there between 2:43 AM and 4:49 AM?
126
What is 710 minutes before 5:12 PM?
5:22 AM
How many minutes are there between 10:42 PM and 5:41 AM?
419
How many minutes are there between 2:26 PM and 2:05 AM?
699
What is 121 minutes after 2:23 AM?
4:24 AM
How many minutes are there between 7:06 AM and 2:43 PM?
457
What is 154 minutes after 1:15 AM?
3:49 AM
What is 641 minutes after 5:48 AM?
4:29 PM
What is 27 minutes before 1:47 PM?
1:20 PM
What is 481 minutes before 7:36 PM?
11:35 AM
How many minutes are there between 3:00 AM and 11:13 AM?
493
How many minutes are there between 1:47 AM and 3:37 AM?
110
How many minutes are there between 5:18 AM and 4:36 PM?
678
What is 672 minutes before 10:08 AM?
10:56 PM
How many minutes are there between 2:55 AM and 5:28 AM?
153
What is 279 minutes before 8:49 PM?
4:10 PM
How many minutes a | {
"pile_set_name": "DM Mathematics"
} |
hat is the next term in 90, 94, 98, 102, 106, 110?
114
What is next in 14, 33, 52, 71?
90
What is next in 1567, 3126, 4671, 6196, 7695, 9162?
10591
What comes next: -70, -140, -220, -316, -434, -580, -760, -980?
-1246
What comes next: -705, -707, -709, -711?
-713
What is the next term in 61, 232, 507, 880, 1345?
1896
What comes next: -30892, -30891, -30890?
-30889
What is the next term in -12, -4, 36, 126, 284?
528
What comes next: -6025, -12048, -18071, -24094?
-30117
What is next in 438, 461, 484, 507?
530
What comes next: 157, 207, 295, 427, 609?
847
What is next in 971, 969, 967, 965, 963?
961
What comes next: -8, -20, -32, -44, -56, -68?
-80
What is next in -259, -1048, -2365, -4216, -6607, -9544, -13033?
-17080
What is the next term in -59, -163, -255, -329, -379, -399?
-383
What comes next: 173, 170, 167?
164
What comes next: -1732, -3461, -5190?
-6919
What is next in 58, 228, 512, 910, 1422, 2048, 2788?
3642
What is next in -174, -160, -144, -126, -106, -84, -60?
-34
What is the next term in 74, 76, 90, 122, 178?
264
What is the next term in -10, -22, -34, -46?
-58
What is next in -53, -59, -65?
-71
What comes next: -3, -1, 3, 9, 17, 27, 39?
53
What is the next term in 58, 145, 254, 391, 562, 773, 1030, 1339?
1706
What is next in -218, -204, -166, -92, 30, 212, 466?
804
What is next in 4, 12, 18, 22, 24, 24, 22?
18
What is the next term in 151, 298, 445, 592, 739?
886
What is next in 27, 54, 87, 126, 171, 222, 279?
342
What comes next: 1070, 2140, 3210?
4280
What comes next: -270, -1059, -2374, -4215, -6582, -9475?
-12894
What is next in -77, -286, -633, -1118, -1741?
-2502
What is next in -1, 35, 71, 107?
143
What comes next: -1303, -5195, -11681, -20761?
-32435
What is next in 505, 1002, 1499?
1996
What comes next: -18, -11, -2, 9?
22
What is the next term in 202, 199, 196?
193
What is next in -3, 15, 23, 15, -15, -73, -165, -297?
-475
What is next in 55, 40, 15, -20, -65, -120, -185?
-260
What is next in 21, 21, 11, -15, -63, -139, -249, -399?
-595
What comes next: 9, 10, 11?
12
What is next in -93, -169, -237, -297, -349, -393, -429?
-457
What comes next: 939, 941, 941, 939, 935, 929, 921?
911
What comes next: 10, 55, 120, 199, 286, 375, 460?
535
What is next in 195, 170, 121, 42, -73, -230?
-435
What comes next: -1871, -1869, -1867, -1865, -1863, -1861?
-1859
What is the next term in -146, -295, -444, -593, -742?
-891
What comes next: -16, -35, -52, -67?
-80
What is next in -6, 12, 38, 72, 114, 164?
222
What comes next: 58, 60, 62, 64?
66
What comes next: 17, 56, 121, 212, 329, 472, 641?
836
What is next in -1, -18, -47, -88, -141, -206, -283?
-372
What is next in 42, 71, 100, 129, 158?
187
What comes next: -450, -859, -1268, -1677, -2086?
-2495
What comes next: 45, 11, -31, -81, -139?
-205
What comes next: 48, 95, 142, 189, 236?
283
What is the next term in 70, 73, 76?
79
What is next in 36, 53, 70?
87
What comes next: -50, -102, -154?
-206
What is next in 38, 50, 68, 92?
122
What is the next term in -168, -682, -1532, -2712, -4216, -6038, -8172, -10612?
-13352
What is next in -20, 35, 90, 145, 200?
255
What is the next term in 9, 67, 125, 183?
241
What is next in 27, 31, 57, 117, 223?
387
What is next in 9, -18, -79, -186, -351, -586, -903?
-1314
What is next in -379, -382, -395, -424, -475?
-554
What is next in -652, -645, -626, -589, -528, -437?
-310
What comes next: 48, 52, 60, 72, 88?
108
What comes next: 4757, 4742, 4713, 4664, 4589, 4482, 4337?
4148
What is next in 1235, 1251, 1255, 1241, 1203?
1135
What is the next term in 320, 1263, 2820, 4985, 7752?
11115
What is next in -4, -5, -14, -37, -80?
-149
What is the next term in 7843, 7845, 7847, 7849, 7851?
7853
What is the next term in 343, 345, 357, 385, 435, 513?
625
What is the next term in 1094, 1092, 1090, 1088?
1086
What is the next term in -135, -287, -441, -597?
-755
What comes next: -687, -687, -685, -681, -675?
-667
What comes next: 51, 123, 209, 315, 447, 611, 813, 1059?
1355
What comes next: 9131, 18263, 27395, 36527, 45659, 54791?
63923
What comes next: 4224, 8448, 12672, 16896?
21120
What is next in 42, 71, 100, 129, 158, 187?
216
What comes next: 3737, 3761, 3795, 3845, 3917?
4017
What comes next: 358, 313, 268, 223, 178, 133?
88
What comes next: -21, 3, 73, 213, 447, 799?
1293
What is the next term in 72, 86, 110, 144, 188, 242?
306
What is next in 85, 74, 47, -2, -79?
-190
What comes next: -17, -10, 17, 76, 179, 338, 565?
872
What is next in 1556, 3118, 4680?
6242
What comes next: 103, 206, 309, 412, 515, 618?
721
What comes next: 7, 11, 11, 7, -1, -13?
-29
What is next in -143, -147, -151, -155, -159?
-163
What is the next term in 38, 7, -34, -91, -170, -277, -418, -599?
-826
What comes next: -10866, -21730, -32594?
-43458
What is the next term in 194, 224, 274, 344, 434, 544?
674
What is next in -22, -64, -128, -220, -346, -512?
-724
What is next in -182, -176, -168, -158, -146, -132, -116?
-98
What is the next term in -3674, -3675, -3676, -3677, -3678, -3679?
-3680
What comes next: -56, -47, -32, -11, 16?
49
What is the next term in -10, -27, -72, -157, -294, -495?
-772
What comes next: 97, 195, 291, 385, 477, 567, 655?
741
What is next in -18, -30, -38, -42, -42, -38?
-30
What comes next: 208, 222, 258, 328, 444, 618, 862?
1188
What comes next: -475, -479, -483, -487?
-491
What is next in 30, 70, 136, 228?
346
What is next in 9, 10, 1, -24, -71?
-146
What is the next term in 70, 131, 192?
253
What is the next term in 90, 169, 248?
327
What is next in -96, -112, -104, -60, 32, 184, 408, 716?
1120
What comes next: -155, -584, -1299, -2300, -3587, -5160, -7019?
-9164
What is the next term in 36, 71, 118, 183, 272, 391, 546?
743
What is next in 2905, 2901, 2895, 2887?
2877
What is the next term in 12307, 12310, 12315, 12322, 12331, 12342, 12355?
12370
What is next in -137, -151, -165, -179, -193?
-207
What is next in 46, 62, 88, 124, 170?
226
What is the next term in 11297, 11296, 11295?
11294
What is the next term in 123, 141, 173, 225, 303, 413?
561
What is the next term in -12, -100, -254, -480, -784?
-1172
What comes next: -7, -12, -15, -10, 9, 48, 113, 210?
345
What comes next: -594, -592, -588, -582, -574, -564?
-552
What is next in 26, 37, 48?
59
What is next in 1, 0, -1, -2, -3?
-4
What is next in 104, 88, 74, 62, 52, 44, 38?
34
What is next in 3463, 3459, 3453, 3445, 3435?
3423
What comes next: 4753, 4750, 4747?
4744
What comes next: 846, 856, 866?
876
What is next in 246, 218, 186, 150?
110
What is next in -12, -11, -12, -15, -20, -27, -36?
-47
What comes next: -328, -326, -324?
-322
What is the next term in -13, -8, -3, 2, 7, 12?
17
What is the next term in 421, 412, 399, 382?
361
What is next in 24, 21, 6, -27, -84, -171, -294, -459?
-672
What comes next: -10, 49, 146, 281?
454
What comes next: -18, -36, -54, -72?
-90
What is the next term in 1, 33, 67, 109, 165, 241, 343?
477
What is the next term in 16, -6, -66, -182, -372, -654?
-1046
What is the next term in 100, 399, 896, 1591, 2484, 3575, 4864?
6351
What comes next: -34, -33, -18, 17, 78, 171, 302, 477?
702
What is next in 24402, 24401, 24400, 24399?
24398
What comes next: -83, -176, -277, -386?
-503
What is next in 5, 30, 73, 134?
213
What is the next term in -243, -484, -725, -966, -1207, -1448?
-1689
What is the next term in 507, 504, 513, 540, 591, 672?
789
What is next in -35, -40, -59, -98, -163, -260, -395?
-574
What is next in -1045, -1048, -1053, -1060, -1069?
-1080
What is next in 7, 1, -5, -11, -17?
-23
What is the next term in 531, 524, 517, 510?
503
What is the next term in 42, 53, 82, 141, 242, 397, 618?
917
What is the next term in -3, -6, -35, -102, -219, -398, -651, -990?
-1427
What comes next: -190, -194, -198, -202?
-206
What comes next: 7663, 15324, 22985, 30646, 38307, 45968?
53629
What is the next term in 112292, 112290, 112286, 112280, 112272, 112262?
112250
What is next in 310, 304, 286, 250, 190, 100, -26, -194?
-410
What is the next term in 56, 78, 102, 128, 156, 186, 218?
252
What is the next term in 314, 1240, 2784, 4946, 7726?
11124
What comes next: -9, -27, -71, -153, -285, -479, -747, -1101?
-1553
What is next in 641, 634, 631, 638, 661, 706, 779?
886
What comes next: -291, -291, -281, -255, -207, -131, -21, 129?
325
What comes next: -162, -183, -194, -1 | {
"pile_set_name": "DM Mathematics"
} |
. Solve -g*d + 0 - 4 = 0 for d.
-1
Let j be (-1)/3 - 80/(-24). Let z(n) = -n**3 + 9*n**2 - 11*n + 29. Let c be z(8). Solve c*b = j*b + 2 for b.
1
Suppose 0 = -58*j + 100 + 132. Solve -j*q + 25 = 9 for q.
4
Suppose 5*t + 3*a = 521, -4*t + 4*a + 408 = 2*a. Suppose 99*j - t*j + 60 = 0. Solve 0 = 5*p - j + 35 for p.
-4
Suppose 3*n - 33 = 24. Let y(x) = -x**3 + 21*x**2 - 39*x + 22. Let f be y(n). Solve 2*l + l = f for l.
1
Suppose 0 = 3*g - 5*x - 11 - 28, -2*g = 3*x - 7. Suppose -4*d = r - 11, d - 3*d = 4*r - 2. Solve d*o - 20 = g*o for o.
-4
Suppose 0 = -6*k - 166 - 158. Let c = -39 - k. Solve x = -4*x + c for x.
3
Suppose 34*o = 32*o. Solve 2*p = -o*p - 0*p for p.
0
Suppose -47 = 7*r + 9. Let g be 3/9 + r/(-3). Solve -m + 8 = -g*m for m.
-4
Let g be (2 - -7) + (1 - 3). Suppose -2*v = 2*v + y - 17, 3*v + 4*y = 29. Solve 16 = v*n - g*n for n.
-4
Let w(d) = 5*d - 10. Let b be w(-6). Let p = 40 + b. Let c(t) = -t**3 + 4*t**2 + t - 4. Let r be c(3). Solve p = -2*x - 0*x + r for x.
4
Suppose -5*b + 30 = -5*a + 5, -5*b - 4*a = -16. Let w(y) = -23*y. Let r be ((1 - 4) + 2)*1. Let x be w(r). Solve b*l + 3 = x for l.
5
Let r = -3 - -8. Suppose u - 3*x - 6 = 0, -3*u = r*x + 7 - 39. Suppose 3*z + 3 - u = 0. Solve 2*j + z = 3*j for j.
2
Let x = 120 + -168. Let m = 31 + x. Let c = -17 - m. Solve 10 = -c*p - 2*p for p.
-5
Suppose 5*b - 78 = -4*t, 5*t = 14 - 4. Solve b*z - 18*z = 0 for z.
0
Suppose -4*t + 15 = 3*u, -14*t + u = -18*t + 5. Solve t = 4*v + 138 - 122 for v.
-4
Let w = 505 - 498. Solve 11*b - w*b = 16 for b.
4
Let c(j) = -j**2 + 6*j - 5. Let k(o) = -o**2 + 6*o - 5. Let s(t) = -5*c(t) + 6*k(t). Let z be s(4). Suppose 0 = -4*g + 5*g - z. Solve g = -w + 8 for w.
5
Let h = 8 - 2. Suppose -h*f + 4*f = -i + 1, -f = -5*i - 40. Let o be (i/(-4))/((-6)/(-16)). Solve 2*p - 12 = o*p for p.
-3
Suppose -3*y - 212*n + 211*n = 0, -11 = -5*y + 2*n. Solve 0 = -7*l + 36 - y for l.
5
Let l(h) = -h + 10. Let c be l(6). Let p be 52/(-91) - c/(-7). Suppose p*n + 8 = 4*n. Solve -n*g = 8 - 0 for g.
-4
Suppose 3*s + 0 = 2*b + 8, s = b + 2. Let c = 1 + 1. Solve s = c*j - j for j.
4
Suppose 20 = -c - 5*s, -c + s + 3*s + 16 = 0. Suppose 5*j = -r + 4, -2*r + 6 = -j - 2. Solve v + 3*v - r = c for v.
1
Let l(o) = -o**3 + 9*o**2 - 18*o - 2. Let v be l(6). Let j be (-40)/30*(3/6 + v). Solve -u - j*u + 6 = 0 for u.
2
Let b = -1767 - -1792. Solve b*w - 7 = 18*w for w.
1
Let y(b) = 8*b - 1. Let o be y(-4). Let l = o + 37. Solve 3*z = l*z for z.
0
Let y be 0/((0 + -12)/4). Suppose -2*z - 65 = -3*n - y*z, -22 = -2*n - 4*z. Solve -5*h + n + 6 = 0 for h.
5
Let s = 18 - 36. Let p = -13 - s. Solve 22 = p*l + 7 for l.
3
Let k be (-12)/(-8)*-2 + 59. Let c = 81 - k. Suppose -2*o + 0*o = -4*z - 26, 2*z + c = 5*o. Solve 0*i + o*i = -12 for i.
-4
Suppose -2*a - 40 = -7*a. Suppose 335 = 64*f + 3*f. Solve m + a = f*m for m.
2
Suppose 3*g + 6 - 18 = -3*z, 3*g - z = 12. Suppose -2*a = g*a. Solve a = -3*c + 1 - 16 for c.
-5
Let q be (-1 - -1)/(-18 - -15). Solve o - 5*o = q for o.
0
Let o be 4/(-1*8/(-12)) - 0. Let q be ((-4)/o*6)/(-2). Solve 6 = -q*j + 14 for j.
4
Suppose -5*x - 5*d + 8 = -12, 3*x - d = 0. Let b be x/(-2)*((0 - 0) + -2). Solve 5 = -4*p + b for p.
-1
Let a = 0 + 0. Let l(m) be the first derivative of -m**3/3 - 5*m**2/2 - 4*m + 25. Let z be l(-3). Solve -z*x + a*x + 10 = 0 for x.
5
Suppose -49*y = 23*y - 4320. Solve 45 = y*o - 51*o for o.
5
Suppose 5*r - 2*x - 4 = r, 5*r + 5*x = 20. Solve -9*w - 33 = r*w for w.
-3
Let v = -3 + 1. Let z be -2 - 0 - v*5. Let f(c) = c**3 - 8*c**2 + 1. Let k be f(z). Solve k = 5*o - 4 for o.
1
Let m = -75 - -75. Suppose 4 = 6*l - 4*l. Solve -l*r + r = m for r.
0
Suppose a = -3*a + 24. Let g be (-2)/(-7) - (-264)/(-42). Let w(t) = t + 11. Let z be w(g). Solve a*o = o - z for o.
-1
Suppose -4 = 13*f - 56. Suppose 4*o + 0 + 4 = f*z, 3*z + 2*o = 13. Solve 2*c - z*c - 4 = 0 for c.
-4
Let v(d) = 0*d - 5*d + 4*d. Suppose -3*n = 5*g - 5, 2*g = -4*n + 5*n + 13. Let m be v(n). Solve 0 = 7*p - 2*p + m for p.
-1
Suppose 5*j + 235 = 5*s, -9 + 24 = -3*j. Solve s*h + 64 = 26*h for h.
-4
Let o = -69 - -71. Let p be (-4)/(-4)*(-2 + o). Solve -4*q + p*q = -4 for q.
1
Suppose 0*b - 190 = -2*b. Let f be (-2)/(-5)*b/2. Let k = f + -19. Solve -2*d - 4 = -k*d for d.
-2
Let f(p) = 15*p - 790. Let y be f(53). Solve -6*x = -y*x + x for x.
0
Let r(l) = l**2 + l. Let q = -2 + 2. Let o be r(q). Suppose -4*y + o*y - 14 = -5*x, 3*x = 2*y + 8. Solve 0 = 3*w + 1 + x for w.
-1
Suppose -4*t = -3*v + 7, 14*t - 3*v = 15*t - 17. Solve -37 + 27 = -t*x for x.
5
Let b = -656 + 663. Solve 2*z + 5*z = b for z.
1
Let h be (-8)/(-6) - 12/(-18). Suppose -2*b - 4 = -6*b. Let n be ((-1)/2)/(b/(-6)). Solve -p + n = -h for p.
5
Let i(o) be the third derivative of o**4/12 - 7*o**3/3 - 11*o**2. Let s be i(7). Solve s = 4*w - w for w.
0
Suppose 0 = -3*n - n. Suppose 0 = 6*d - 4274 + 4184. Solve 3*g + n = d for g.
5
Suppose -5*v + 19 + 41 = 0. Let r be 1*-2 - (-16 + v). Let j be r + (4/2 - -2). Solve 6 = 3*d - j for d.
4
Let j(t) = 5*t**2 + 6*t - 2. Let f(d) = 4*d**2 + 7*d - 3. Let g(x) = -3*f(x) + 2*j(x). Let h be g(-5). Solve h*v = -v for v.
0
Let x be (1*9)/((-7)/(-42)). Suppose 6 = -0*r - 3*r, x = 5*d + 3*r. Solve -5*m = 3 + d for m.
-3
Let o be (3 - 10 - -12) + 6/(-2). Let u = -1 - -6. Let l(r) = r - 3. Let m be l(u). Solve -t = -m*t + o for t.
2
Let m(v) = 2*v**3 - 16*v**2 + 6*v - 5. Let w be m(8). Solve -w = -5*p - 63 for p.
-4
Suppose 0 = -3*o - 5*n + 26, -n = 3*o - 2*n - 56. Solve 0 = o*i - 20*i - 12 for i.
-4
Suppose -3*l + 5*l = 16. Let u = l - 1. Let b(j) = j**3 - 9*j**2 + 9*j - 3. Let h be b(8). Solve h*y = -18 - u for y.
-5
Suppose -2*c = m + 66, -3*m - 47 = 2*c + 23. Let a be 6 - (-3 + 1)/(16/c). Solve -6*r = -a*r - 20 for r.
5
Let j = -14 - -30. Let r be -2 + -4 + 21/9*3. Solve -r = -5*m - j for m.
-3
Suppose 6 = 4*j - 2. Let f(u) = 11*u - 11. Let r be f(j). Solve 2*x - 5 = -r for x.
-3
Let b(t) = -5*t - 11. Let n be b(-7). Suppose 6*h - 2*h = n. Solve -w - w = h for w.
-3
Let n(z) = z**3 + 4*z**2 - 4*z + 7. Let l be n(-5). Suppose 4*i - 16 = l*b + 4, 3*b + 14 = 2*i. Suppose 0 = 4*u + 106 - 118. Solve i*r - u*r = 4 for r.
4
Let v(y) = 3*y**2 - 20*y + 16. Let i(x) = 2*x**2 - 13*x + 10. Let z(p) = 7*i(p) - 5*v(p). Let m = 15 + -8. Let d be z(m). Solve -d = -s - 7 for s.
-3
Let g = -50 - -54. Let u be (g + (-27)/6)*8/(-2). Solve -2 = u*x + 2 for x.
-2
Let l(c) = c**2 - 6*c + 7. Let u be l(9). Suppose -10 - u = -11*a. Suppose -2*w + 3*v = -5, 4*w + 2*v - 41 = 9. Solve -3*t + w = a for t.
2
Let g(y) = -y**2 - 12*y - 18. Let a be g(-10). Suppose 0 = f - a*f - 2. Let x be (2 - 2)/(f - -3). Solve h - 4 = -x*h for h.
4
Suppose 0*p + 8*p = 0. Suppose 3*b - 44 - 16 = p. Solve z - 6*z + b = 0 for z.
4
Let o(l) = -l - 10. Suppose 0 = -4*f + 5*j - 33, f - j = 6*f + 63. Let b be o(f). Suppose -2*y - 10 = -4*u + 3*u, 15 = -5*u - 3*y. Solve b*g = -u*g - 10 for g.
-5
Let p be -1*(-1)/7*0. Solve 1 = -p*q + q for q.
1
Let h be (2 - 3) + 3 - -4. Let k(j) be the first derivative of -j**2/2 + 2*j + 5. Let d be k(-2). Solve 5*o = d + h for o.
2
Let y = 8 - 32. Let u = y + 29. Solve 5*k - 5 = u for k.
2
Let x = -2242 + 2251. Solve -x*o - 29 = -2 for o.
-3
Let t be (0 + (-8)/3)*-3. Suppose 0 = 5*y - 7 - t. Let v be (1 - y)/(3/(-6)). Solve 0*m + v = -2*m for m.
-2
Let d(o) = -38*o + 10. Let g be d(0). Solve 3*n + g = -5 for n.
-5
Let j be (-1 + 1 + 2)*1. Let h be -2*(j - (-3 - -6)). Suppose -3*c = h*c - 15. Solve -k = -0*k + c for k.
-3
Let c = -1 + 3. Suppose 0 = -c*u + 7*u - 115. Suppose -2*b - 4*j + 2*j + 14 = 0, 4*b = -3*j + u. Solve d = -b*d for d.
0
Let h = -23 - -20. Let g be ((-60)/(-40))/(h*(-2)/40). Solve 0 = 5*i + 15 + g for i.
-5
Let x(v) = -v - 3. Let u be x(-3). Suppose 125 = 11*w - 51. Suppose -m = 1 - w. Solve u = -8*g + 3*g + m for g.
3
Let t(f) = -2*f**2 - 15*f + 6. Let k be t(-4). Solve -3 = -k*l + 35*l for l.
-3
Suppose -97*f + 94*f = -9. Solve f*q = -5 + 2 for q.
-1
Let j = 9 - 17. Let s be (-52)/(-14) - j/28. Suppose -5*q = -q + s*g - 4, 4*q - 2 = -5*g. Solve 4*k + q = 5*k for k.
3
Let r(s) = -s + 10. Let b be r(5). Suppose -2*o + t = -4 - 11, o - 35 = -b*t. Let v = 16 - o. Solve -h = -v*h for h.
0
Let v(i) = -i**3 + i**2 - 3*i + 4. Let q(p) = p**3 + p - 1. Let m(g) = -2*q(g) - v(g). Suppose 3 = | {
"pile_set_name": "DM Mathematics"
} |
at is prob of sequence iiii when four letters picked without replacement from iiiiii?
1
Four letters picked without replacement from cccctcctcc. Give prob of sequence tctc.
1/45
What is prob of sequence ii when two letters picked without replacement from idbbi?
1/10
What is prob of sequence cce when three letters picked without replacement from {c: 15, e: 5}?
35/228
What is prob of sequence yay when three letters picked without replacement from way?
0
What is prob of sequence yyj when three letters picked without replacement from {y: 3, j: 2, v: 4}?
1/42
Calculate prob of sequence tf when two letters picked without replacement from ftqoqtotttqtffftfq.
35/306
Two letters picked without replacement from tgegeegemhm. Give prob of sequence hg.
3/110
What is prob of sequence zzoo when four letters picked without replacement from ooooozozoozoozoozoz?
65/1292
Calculate prob of sequence wzw when three letters picked without replacement from rrghzhrrrwzrrgrzhrwr.
1/1140
Calculate prob of sequence pd when two letters picked without replacement from dpjpjjpdjpqpdp.
9/91
What is prob of sequence uizz when four letters picked without replacement from pmuuzuuzpi?
1/630
Four letters picked without replacement from mmcuecqmqmce. Give prob of sequence cqcu.
1/990
Two letters picked without replacement from {v: 2, p: 1, i: 4}. Give prob of sequence ip.
2/21
What is prob of sequence all when three letters picked without replacement from {l: 11, a: 2}?
5/39
Calculate prob of sequence mias when four letters picked without replacement from ssslsima.
1/420
What is prob of sequence dddd when four letters picked without replacement from dddd?
1
Two letters picked without replacement from {p: 3, r: 1, f: 1, q: 1, s: 6}. What is prob of sequence fs?
1/22
Three letters picked without replacement from {r: 2, l: 2}. Give prob of sequence rlr.
1/6
What is prob of sequence hclh when four letters picked without replacement from {f: 1, v: 3, l: 1, c: 4, h: 5, t: 4}?
1/918
What is prob of sequence ewwe when four letters picked without replacement from wweweeweewewwwwwww?
11/204
What is prob of sequence mppe when four letters picked without replacement from hphmeopo?
1/840
Two letters picked without replacement from {s: 2, g: 1, r: 2, u: 1, q: 1}. What is prob of sequence rs?
2/21
What is prob of sequence xa when two letters picked without replacement from {t: 13, x: 1, a: 1}?
1/210
Two letters picked without replacement from {s: 2, v: 9}. Give prob of sequence vv.
36/55
Three letters picked without replacement from {p: 1, o: 1, s: 5, m: 3, j: 1, w: 1}. Give prob of sequence mws.
1/88
Calculate prob of sequence ja when two letters picked without replacement from tjttxttatjxtajjaaj.
10/153
Calculate prob of sequence qqp when three letters picked without replacement from {v: 3, f: 3, q: 5, a: 1, h: 4, p: 4}.
2/171
What is prob of sequence hdhd when four letters picked without replacement from hhhhhddhhhhdhh?
5/182
Four letters picked without replacement from {h: 5, e: 7, a: 8}. What is prob of sequence ehah?
28/2907
What is prob of sequence baba when four letters picked without replacement from {b: 5, a: 13}?
13/306
Three letters picked without replacement from {f: 3, t: 3, i: 1, c: 5, u: 5, n: 1}. What is prob of sequence nct?
5/1632
Calculate prob of sequence yqbb when four letters picked without replacement from {b: 1, y: 2, q: 1}.
0
Calculate prob of sequence sbs when three letters picked without replacement from sbyrfrs.
1/105
What is prob of sequence vfvv when four letters picked without replacement from sfvvvvs?
1/35
Calculate prob of sequence npn when three letters picked without replacement from ppnnnnnnpp.
1/6
Two letters picked without replacement from tqocoeke. What is prob of sequence kq?
1/56
Two letters picked without replacement from {t: 6, c: 2, q: 1, w: 3, k: 7}. Give prob of sequence cq.
1/171
Three letters picked without replacement from cbuuvcivvbucvvbqu. What is prob of sequence viq?
1/816
What is prob of sequence ggxg when four letters picked without replacement from xrgrgrrrrrxgrrr?
1/2730
What is prob of sequence xxfs when four letters picked without replacement from {s: 1, f: 5, x: 5}?
5/396
Four letters picked without replacement from wetwvav. What is prob of sequence vwev?
1/210
Two letters picked without replacement from tkkbejejbeqe. Give prob of sequence kk.
1/66
Four letters picked without replacement from ykwwomywwkowkqk. What is prob of sequence qomy?
1/8190
Two letters picked without replacement from {i: 1, b: 2, c: 1}. Give prob of sequence bc.
1/6
What is prob of sequence ju when two letters picked without replacement from qzujjbjjb?
1/18
Calculate prob of sequence pyt when three letters picked without replacement from {p: 2, y: 2, t: 1}.
1/15
Three letters picked without replacement from kmtdkyyf. What is prob of sequence mtd?
1/336
Three letters picked without replacement from ablllblap. What is prob of sequence bap?
1/126
Three letters picked without replacement from {c: 7, j: 1, m: 4, x: 1, o: 2, y: 3}. Give prob of sequence myo.
1/204
Four letters picked without replacement from aiaooabobobuaoau. Give prob of sequence aaia.
1/728
Three letters picked without replacement from {x: 2, w: 3, k: 1, v: 4, b: 1}. What is prob of sequence wwx?
2/165
Three letters picked without replacement from {q: 14, p: 5}. Give prob of sequence qqq.
364/969
Four letters picked without replacement from {g: 6, a: 2, h: 3, q: 2, l: 3}. What is prob of sequence lqhq?
3/7280
Calculate prob of sequence aqqa when four letters picked without replacement from qqqaqqaa.
1/14
Four letters picked without replacement from {j: 5, o: 2, g: 1, f: 1}. Give prob of sequence ofog.
1/1512
Calculate prob of sequence vcc when three letters picked without replacement from nccvnccv.
1/14
Calculate prob of sequence tf when two letters picked without replacement from tsbqfso.
1/42
What is prob of sequence uhfu when four letters picked without replacement from {u: 2, h: 1, f: 11}?
1/1092
Calculate prob of sequence uwk when three letters picked without replacement from {c: 1, k: 1, f: 1, v: 1, w: 1, u: 2}.
1/105
Three letters picked without replacement from nqzqnznzzqzzzznz. What is prob of sequence qnq?
1/140
Four letters picked without replacement from frrbfbbbf. Give prob of sequence bbrr.
1/126
Calculate prob of sequence cccc when four letters picked without replacement from {p: 7, c: 7}.
5/143
Two letters picked without replacement from nnlnnnlnnllnlgnnn. Give prob of sequence ln.
55/272
Calculate prob of sequence wwtw when four letters picked without replacement from twtwtttttt.
0
Calculate prob of sequence ny when two letters picked without replacement from {n: 1, y: 1, f: 2, a: 2, j: 2}.
1/56
What is prob of sequence xvx when three letters picked without replacement from yggxxgxvgvgxxxggggv?
5/323
Four letters picked without replacement from {a: 1, c: 2, v: 2, h: 1, q: 1}. Give prob of sequence hcca.
1/420
Calculate prob of sequence we when two letters picked without replacement from awwtaetwwtwtwdww.
1/30
Calculate prob of sequence vll when three letters picked without replacement from {v: 2, l: 8}.
7/45
Two letters picked without replacement from dddeded. What is prob of sequence dd?
10/21
Two letters picked without replacement from uuuzuqqxuubuuuuxuu. What is prob of sequence qq?
1/153
Calculate prob of sequence cy when two letters picked without replacement from yvcyccccfy.
1/6
Two letters picked without replacement from {e: 4, i: 6}. Give prob of sequence ii.
1/3
Four letters picked without replacement from {p: 5, e: 1, g: 8, k: 2}. Give prob of sequence epkk.
1/4368
What is prob of sequence uuuj when four letters picked without replacement from jtuttttjjututjuj?
1/364
What is prob of sequence ccc when three letters picked without replacement from ucecueeuece?
1/165
Two letters picked without replacement from {w: 1, m: 4, d: 1, v: 1, y: 1}. Give prob of sequence my.
1/14
What is prob of sequence de when two letters picked without replacement from yeeydeyydeeeee?
8/91
Calculate prob of sequence znnz when four letters picked without replacement from nznnz.
1/10
Two letters picked without replacement from xjppejeav. What is prob of sequence jp?
1/18
What is prob of sequence | {
"pile_set_name": "DM Mathematics"
} |
2
Express (-16*b**2 - 32*b**2 + 11*b**2)*(4*b**2 - 127*b**2 - 99*b**2) as z*b**2 + y*b**3 + h*b + i + x*b**4 and give x.
8214
Rearrange -3285*a - 299 + 299 - 245*a - 1301*a to b + x*a and give x.
-4831
Express (334 - 122 + 346 - 3 + 6 - 1 + (3 + 2 - 3)*(-4 + 4 + 1))*(-q**3 + 3*q**4 + q**3) as i*q + o*q**4 + s*q**3 + n*q**2 + z and give o.
1686
Rearrange (-2*t + 0*t - 8*t)*(40*t**2 - 75*t**2 - 4*t + 51*t**2) to the form r*t + j*t**2 + a + x*t**3 and give x.
-160
Express 577*g**2 + 153*g**2 + 867*g**2 + 530*g**2 + 8*g**2 in the form l*g**2 + r*g + j and give r.
0
Rearrange 2*z - 3 + 3 + (2 + 4 - 5)*(3*z - 5*z + z) - 6571 + 6571 - 2902*z to the form w*z + p and give w.
-2901
Express (11*w - 55*w + 25*w)*(34 + 13 + 54) as r + c*w and give c.
-1919
Rearrange -6*q + 5212*q**3 - 1 - 5233*q**3 - 2*q**4 + 3*q**2 - 5*q to a*q + p*q**3 + f + b*q**2 + z*q**4 and give f.
-1
Rearrange 3*p + 7*p + 21 - 3*p**4 + 2*p**3 - 59*p**2 + 59*p**2 to q*p + h + w*p**2 + i*p**4 + s*p**3 and give i.
-3
Express (2403*v - 394194 + 2*v**2 + 394194)*(-3*v**2 + 5*v**2 + 6*v**2) as d*v**3 + j + m*v**4 + q*v + c*v**2 and give m.
16
Express 17214*z + 167053603 - 167053603 in the form b + u*z and give u.
17214
Rearrange -607 + 92 - 69 - 518 + 2*y**2 to the form t + n*y**2 + r*y and give n.
2
Express 3*m**2 - 11*m**2 + 8*m**2 + 7411*m**4 - 7409*m**4 + 63*m**3 - 1 in the form t + u*m**2 + g*m**4 + n*m**3 + b*m and give n.
63
Rearrange (-3*q + 0*q + 2*q)*(-10*q + 3*q + 30*q) - 62*q + 2*q**2 - 594 + 594 to r*q**2 + o*q + d and give o.
-62
Rearrange 16*q**2 - 3*q + 2536 - 26*q**2 + 3*q - 2936 to l*q + a + i*q**2 and give i.
-10
Rearrange -46469*m + 38873*m - 266 + 266 to d + v*m and give v.
-7596
Express 304*h**2 - 36*h**2 + 2 - 2 + 13*h - 12*h as l*h + f*h**2 + k and give l.
1
Rearrange (-26 + 26 - 7*t)*(42*t**3 - 26*t**3 - 29*t**3) to u*t**3 + d*t**2 + q*t**4 + j*t + k and give q.
91
Express (4*k - k - k)*(-11*k**2 - 3*k + 3*k) - 7*k**3 - 45*k**3 - 168*k**3 as r*k**3 + d*k + y*k**2 + o and give d.
0
Rearrange -3309 + 1641 - 1178*n**2 + 1669 to q + v*n + r*n**2 and give v.
0
Express -291*i**2 - 7*i**3 - 273 + 646*i**2 - 8*i**3 - 355*i**2 in the form x*i**2 + y*i + r*i**3 + a and give a.
-273
Rearrange (5262*i + 3 - 3317*i + 3563*i + 4218*i)*(3*i + 1 - 1) to the form x*i**2 + a + v*i and give x.
29178
Express (0 - 13 + 1)*(4 + 4 - 6)*(0*j - 7*j - 7*j)*(0 + 4 - 2)*(-2*j + 2*j + 8*j) as x*j + w*j**2 + o and give o.
0
Rearrange (0 + 4 - 5)*(-j**3 + 4*j**3 - 2*j**3 + (-j**3 + 5*j**3 - 6*j**3)*(6 - 1 - 53) + 22 - 22 - 8*j**3) to g + p*j**2 + o*j + n*j**3 and give n.
-89
Rearrange (-2*k - k + k)*(-2 + 1 + 0) + 0 + 1706853*k + 0 - 1692850*k to the form b + i*k and give i.
14005
Express -195 + c + 3815*c**2 + 44 - 3796*c**2 - 204 in the form d + r*c + v*c**2 and give v.
19
Express (1 + 10*a + 1 - 9*a)*(3*a - 2*a + 3*a) + 51967*a - 51967*a + 150*a**2 in the form b + j*a + v*a**2 and give j.
8
Rearrange 13704 - 13704 + 255*f**3 - 5*f**3 - 2*f**3 - 2*f**3 + (-4 + 3 - 2)*(3*f**3 + 0*f**3 - 2*f**3) to h*f**3 + i + k*f**2 + q*f and give h.
243
Rearrange 4*p**4 - 2*p**4 - p**4 + (3 - 2*p**4 - 3)*(-1 - 3 + 6)*(-71 + 305 + 190 + 311) to the form l*p**3 + j*p**2 + q*p + t*p**4 + r and give t.
-2939
Rearrange w**3 + 5*w**2 - 2*w + 128*w**4 + 6*w**4 - 9*w**2 + 3*w**2 + 86*w**4 to c*w**4 + m + r*w + z*w**3 + n*w**2 and give n.
-1
Rearrange 720 - 720 + 1969*l to the form j + v*l and give v.
1969
Rearrange 33 + 30*w + 23 + 24 - 36*w - 37*w to the form g + y*w and give y.
-43
Rearrange (-32 + 20 + 7)*(-2000*s + 36*s**3 + 2000*s) to the form u*s**2 + a*s**3 + p*s + x and give a.
-180
Rearrange 166 - 116*d**2 - 77*d**3 - 26 + 111*d**3 + 116*d**2 to t + u*d**3 + r*d**2 + y*d and give u.
34
Express 2367*f**2 - 190086 + 190086 in the form y*f + r*f**2 + u and give r.
2367
Express (848*i + 1247 - 1247)*(4*i - 4*i - i)*(0 - 5 + 3)*(-1 + 3 - 1)*(-3*i - 3*i + 2*i) in the form s*i**2 + l*i**3 + a*i + v and give l.
-6784
Rearrange (8 + 26 - 14)*(-59*f - 20167 + 20167) to j*f + q and give j.
-1180
Express -33600 + 33600 - 1436*h**3 + 312*h**3 + (4 - 4 + 2*h)*(h**2 - 6*h + 6*h) in the form p*h**3 + m*h + l*h**2 + a and give l.
0
Express (-2*r**3 + r**3 + 10*r**3)*(74 + 5*r + 65*r - 70) in the form x*r**4 + m*r**3 + q + c*r**2 + u*r and give m.
36
Rearrange -1384 + 585 + 2*i - 384 to x + p*i and give p.
2
Express 6*h - 5 + 5 - 2*h + 27*h + 10*h - 2*h + 3*h + h - 6*h + 2*h + h + (-2 + 2 - 2)*(1 - 1 - h) - 4 - 3*h + 4 as u*h + v and give u.
39
Rearrange (-1 + 3 - 1)*(-15 + 9 + 7 - 53*v)*(3*v**3 + 4*v**2 - 6*v**2 - v**3 - 1) to the form d*v**3 + c + f*v**4 + j*v**2 + z*v and give f.
-106
Express -4*r - 2*r - 7*r - 435 + 435 - 28*r + (1 + 2 + 0)*(-2*r + r - r) + 0 - r + 0 in the form m*r + s and give m.
-48
Express -7882 + 89*s**4 - 65*s**4 + 7892 + (4 - 4 - 2)*(-s**4 + 3*s**4 + 0*s**4) in the form z*s**2 + k*s + d*s**3 + q*s**4 + a and give q.
20
Express (-70*c + 153*c + 255*c + 21*c + 301*c)*(17*c + 10*c - 3*c) in the form w*c + y*c**2 + u and give y.
15840
Rearrange -84*y**2 + 42 - 3*y + 3*y + 65*y**2 - 2 to the form h + u*y + c*y**2 and give c.
-19
Rearrange (49*i - 49*i + 174*i**2)*(-2*i - 12*i - 3*i) - i**3 - i**3 - i**2 - i**2 + i to the form n*i**2 + b + d*i**3 + v*i and give d.
-2960
Rearrange -36*y + 4*y**4 + 34*y - 141 - 5*y**4 + 1772 to q + x*y**4 + i*y**3 + h*y + u*y**2 and give q.
1631
Rearrange (x + 0*x + 0*x)*(-1 + x + 1) + (-23*x + 14*x - 28*x)*(16*x - 14*x - 13*x) to the form m*x + h*x**2 + g and give h.
408
Express 154*s**3 - 233*s**3 + 17 + 1 in the form o*s + g + p*s**3 + y*s**2 and give p.
-79
Express (20*y - 556*y + 826 + 158 - 1012)*(-2*y**3 + 5*y**3 - y**3) as o*y**4 + n*y**2 + d*y + t + m*y**3 and give n.
0
Rearrange -98*p + 91*p**3 + 37*p + 30*p - 18*p**3 + 39*p - 2 to the form q*p + c*p**2 + l + m*p**3 and give l.
-2
Rearrange -c**2 - 8*c**3 - 4 + 7 - c**3 + 2*c + 53*c**4 - 51*c**4 to l*c**2 + k*c + j*c**3 + b*c**4 + r and give b.
2
Rearrange (-16*h**2 + 12*h**2 - 4*h**2)*(22*h - 12*h - 7*h - 3*h + 1259*h**2) to a*h**2 + q*h + k*h**3 + v + j*h**4 and give j.
-10072
Express (4*x - x - x)*(0*x**2 - 2*x**2 - x**2)*(5314*x - 3 + 38434*x + 11 - 8) in the form t*x + g + d*x**3 + m*x**2 + p*x**4 and give p.
-262488
Express (19 + 6 - 9)*(-21 + 8 - 12 - 48)*(9*v - 11 - 4 - 6*v) as x*v + g and give x.
-3504
Express 0 - 1 + 2*c**2 - 3*c + 46*c**3 + 0*c + 12*c**4 - 11*c**4 + 0*c**4 in the form j*c + z + o*c**4 + d*c**2 + b*c**3 and give d.
2
Express (9 - 9 + 11*t)*(-474 + 1035 + 1364 - 332) as c*t + i and give c.
17523
Rearrange ((-830 + 58*i + 830)*(-4 - 1 + 4) + 0*i + 4*i - 5*i)*(23*i**2 - 23*i**2 + 6*i**3) to the form b + p*i**2 + v*i**4 + m*i**3 + j*i and give v.
-354
Express (-2 - 1 + 1)*(239 - 58 - 2*s - 102) in the form n*s + j and give n.
4
Rearrange 146482*b - 14*b**2 - 4 - 146473*b - 5*b**2 to q + o*b**2 + j*b and give j.
9
Rearrange -24 - 5*h + 37*h**2 - 11*h**2 + 5*h**2 + 21*h**2 + 21 to the form v*h**2 + m + f*h and give m.
-3
Express ((-1 + 7 + 1)*(-3 - 4 + 4) - 4 + 1 - 7)*(-2*l - l + l)*(-4*l - 138 + 138) as p*l + t*l**2 + y and give t.
-248
Rearrange (-b + 5*b + 2*b)*(8 - 748 + 12782 + 7382) to the form a + n*b and give n.
116544
Rearrange 756 - 2*n - 758 + n**2 + 12*n**4 + 24*n**4 + 9*n**3 + n**4 to the form h*n**2 + a + c*n + j*n**4 + r*n**3 and give c.
-2
Express 5875*d**4 - 3382*d**4 - 2970*d**4 + (d**2 + 3*d**2 - 7*d**2)*(-3*d**2 - 2*d**2 + 4*d**2) as h*d**2 + i*d**3 + s*d**4 + m*d + y and give s.
-474
Express -7*c**2 + 14 - 3 - c**3 + 10*c**2 + 2 + 11*c in the form x*c + a + s*c**2 + b*c**3 and give s.
3
Rearrange 17 - 9 + 4006*u**2 - 8 + 1629*u**2 to the form n*u**2 + f + m*u and give n.
5635
Rearrange 4 - 4 + 23*l + 4*l - 3*l + 4*l + (-3*l + 3*l - 2*l)*(-4 - 1 + 2) + 2*l - l + l - 4 + 4 - 2*l + 3*l + 1 - 1 to the form c + t*l and give t.
37
Express 4738*l**2 + 2199*l**2 + 6 + 1294*l**2 - 6 as q*l + f*l**2 + x and give f.
8231
Rearrange (3 + 1 - 2)*(2457 + 38*x - 2457) - 1 - x + 1 + (3 - 11 - 9)*(0 + 2*x + 0) to the form r*x + h and give r.
41
Express -234 + 74 + 138 + 63*l in the form b*l + z and give b.
63
Rearrange 3 - 17*v + 4228*v**2 - 4227*v**2 - 45*v to the form t*v**2 + h*v + p and give h.
-62
Rearrange (-4 + 2 + 4)*(4*f - f**2 - 4*f) - 97767*f - 87*f**2 + 97767*f + 55 to th | {
"pile_set_name": "DM Mathematics"
} |
value? (a) w (b) q (c) 4
a
Let j = 423.5 + -427.333. Let m = j + -0.067. Let n = m - 0.1. Which is the third smallest value? (a) -5 (b) n (c) 0
c
Let j = 8 - -1. Let h be j/15*10/2. What is the third biggest value in -5, h, 1?
-5
Let f be (-1 - 0)/(6/30). Let s = 0.3 + -0.4. Let i be (4/15)/((-2)/(-5)). Which is the second smallest value? (a) i (b) s (c) f
b
Let s = 5.4 + -5. Let y = 11 - 11.3. Which is the third smallest value? (a) s (b) -3 (c) y
a
Let k be 1/2 + 146/(-90). Let x = 9/10 + k. Which is the third smallest value? (a) 2/5 (b) x (c) -0.2
a
Let m = -31.46 - -31. Let v = m + -0.04. Let q = 16 - 11. Which is the second smallest value? (a) v (b) 2 (c) q
b
Let r = -147 + 139.3. Let b = 8 + r. What is the biggest value in -2/3, b, -1?
b
Let l(a) = -a**3 + 3*a**2 - a - 1. Let n be l(2). Suppose -3 = -w - 0. Let j be ((-4)/2)/(w/n). What is the second biggest value in -1, j, 0?
j
Let q be (-3)/3*(-1)/(-4). Let m = 299/56 + -45/8. Which is the third biggest value? (a) 3/5 (b) q (c) m
c
Suppose 0*q + q = 0. Suppose 4*t - 47 = -5*m, -t - 4 = -q*m - 4*m. Let p be ((-6)/t)/(42/(-16)). What is the biggest value in -2, p, 0.4?
0.4
Let r = 6.67 + 0.33. Let u = r + -7.3. Let p(a) = -a**3 - 7*a**2 - 8*a - 9. Let m be p(-6). What is the second biggest value in m, 2/3, u?
2/3
Suppose -12 = 5*n - 7. Let y = 4 - 7. Let w(j) = -j**3 + 4*j**2 - 5*j + 2. Let x be w(3). Which is the third biggest value? (a) y (b) n (c) x
c
Suppose -2*v - 2 = -8. Let x = 8209/21 + -391. Which is the third smallest value? (a) -2 (b) v (c) x
b
Let x = 0.09 + -0.29. Which is the second biggest value? (a) -0.1 (b) x (c) -3
b
Let h be -28*3/(-60) - (3 + -1). What is the second biggest value in h, 0, 0.5?
0
Let a = 10 + -6. Let n = -66 + 71. What is the third smallest value in 2, n, a?
n
Let m = -0.05 + 0.25. Let p = 0.1 + m. What is the second biggest value in -3, p, 3?
p
Let o = 0.76 + -0.36. What is the third biggest value in -1.1, -1, o?
-1.1
Let w = -3.5 - 0. Let z = 3 + w. Let s = 0.5 + z. What is the second biggest value in -2, 0.2, s?
s
Let f = 0.6 + -1. Let i = 7 - 8. What is the second smallest value in f, i, -3?
i
Let x = 34 - 103/3. Let d = 116 + -121. Which is the biggest value? (a) x (b) -2 (c) d
a
Let j = 3 + -3.1. Suppose 0*h + 25 = -5*h, 0 = -x + 5*h + 29. Which is the third smallest value? (a) 3 (b) j (c) x
c
Let i be 70*(-6)/45*3. Let k be -2 - 7/(i/6). What is the third biggest value in 0.3, -1/4, k?
k
Let o be 9/12*(-24)/(-45). What is the smallest value in -0.2, o, 0.1?
-0.2
Let w be 1 - 1 - 20/(-16). Let p = 5/24 - -1/8. Which is the biggest value? (a) p (b) w (c) -4
b
Let u = 14/33 - 1/11. Let g = 2 - 0. Let j be g*1 - 7/3. Which is the third biggest value? (a) u (b) j (c) -1/2
c
Let y = 0.34 + -0.74. What is the third biggest value in 7, 0.1, y, -2?
y
Let z = -6.6 - -7. What is the third biggest value in -4, z, 1/5?
-4
Let z = 673.97 + -670. Let r = z + 0.03. Which is the smallest value? (a) 5 (b) -4 (c) r
b
Let s = -323.91 - -346. Let o = -19 + s. Let p = -0.09 + o. What is the biggest value in p, -3, 0.3?
p
Let z = -5.6 - -5.8. Which is the third biggest value? (a) -0.7 (b) z (c) -0.2
a
Let g = -0.22 - -0.22. Which is the biggest value? (a) 3 (b) 1 (c) g
a
Suppose -7 = -5*t + 18. Suppose -8 - 12 = -t*z. Which is the biggest value? (a) z (b) -0.5 (c) -4
a
Let k = -8 - -10. Let j be (57/30 + -2)*k. Which is the biggest value? (a) 0 (b) 0.2 (c) j
b
Let d = -0.15 - -0.47. Let o = -0.02 + d. Let q = o + -0.2. Which is the biggest value? (a) -2 (b) q (c) -0.2
b
Let r = -0.6 + -1.8. Let f = r - -2. What is the third smallest value in f, 1/9, -0.02?
1/9
Let p = 0.03 - 0.13. What is the third smallest value in 0, 0.1, p?
0.1
Let u be 0 + 1 - 2*24. Let v be (1 + u)/(5 + -4). Let q be 3/15 + v/(-20). Which is the second smallest value? (a) -2 (b) -1 (c) q
b
Suppose 3*q + 0*q + 4*m = -29, 4*q = -m - 17. Let p be -49*3/51 + -3 + 6. Which is the smallest value? (a) q (b) p (c) 0.4
a
Let l be ((-45)/(-1))/(2 + 0). Let k = l - 22. Let f be ((-1)/2)/(2 + -1). What is the third biggest value in k, 3, f?
f
Let s = -0.07 - -0.57. Which is the third smallest value? (a) s (b) 6 (c) 3
b
Let a be (-316)/(-198) + -2 + 4/18. What is the third smallest value in -16, a, -3?
a
Let t = -37.2 + 31. Let f = 6 + t. Suppose -6*u = -4*u + 2. Which is the biggest value? (a) f (b) -3/5 (c) u
a
Let d(r) = -2 + 3 + 3*r**3 - 3*r**2 - 4*r**3 + 9*r**2. Let g be d(6). Which is the second biggest value? (a) 0 (b) g (c) 0.4
c
Let u = 12 - 8. Suppose -3*c + 8 = -1. Suppose -4*m + 11 - c = 3*y, 4*y - 4*m + 36 = 0. What is the third smallest value in -5, u, y?
u
Let g(c) = c**2 - 3*c - 4. Let p be g(3). Let b = p - -1. Let i(h) = h - 9. Let l be i(5). What is the third biggest value in -1/10, b, l?
l
Let i = -76 - -381/5. Let j = -587/176358 + -2/4641. Let v = j - -543/2926. What is the biggest value in v, -4, i?
i
Let z = -6.06 - -6. Let d = z + 0.06. Which is the second biggest value? (a) d (b) -0.2 (c) 0.4
a
Let i = 40 + -40.4. Which is the third biggest value? (a) -0.5 (b) -63/5 (c) i
b
Let i = 16.4 + -11. Let y = -5 + i. Suppose 24 = -4*z + 2*w - 6*w, 0 = 2*z + w + 10. Which is the biggest value? (a) y (b) z (c) -2
a
Let h = -77.7 + 78. What is the fourth biggest value in 0.5, h, -1/5, -9/4?
-9/4
Let x be -1 + ((-7)/(-9) - 0). Let j = 4.24 - 4. Let r = j - 0.04. Which is the third smallest value? (a) x (b) r (c) 1/3
c
Let j be (111 - 0 - 0) + 1. Let o be 12/42 - 74/j. What is the second biggest value in -0.1, o, 2/11?
-0.1
Let h = -1.93 - 0.07. Let z = h - -1.9. Which is the second biggest value? (a) z (b) 1/3 (c) 0
c
Let q = -0.04 - 0. Let g = 1.25 - -1.79. Let a = q + g. What is the second biggest value in -3, a, 4?
a
Let d = -1/2 - -3/14. Let s = 18.88 - 19. Let w = s + -4.88. What is the smallest value in d, 4, w?
w
Let h = 2.7 + -2. Let i = -953/3 + 319. What is the third smallest value in i, h, -2/11?
i
Let q = 0.04 - 0.04. Let z = q + -0.2. Let l = 0.02 + 0.28. Which is the biggest value? (a) -1/7 (b) z (c) l
c
Let b = -169/2 + 83. What is the smallest value in 0.3, 3, -1, b?
b
Let j = -2.7 - -6.7. What is the second smallest value in 10, 2/5, j?
j
Let f(i) = i - 5. Let v be f(8). Let u = 19 - 9. Suppose 4*g - u = 9*g. Which is the biggest value? (a) -1 (b) v (c) g
b
Let x(s) = -s**2 - s + 1. Let l be x(1). Let v be (-4)/12 - (-21)/9. Let q be 1/(v + 4 + -3). Which is the third biggest value? (a) 2/9 (b) q (c) l
c
Let b = -12.8 - -19.1. Let s = 6 - b. What is the smallest value in 2, -3, s?
-3
Let s = 557078 - 8352808/15. Let r = s - 224. Let f = -8 - -5. Which is the second biggest value? (a) f (b) r (c) 0
c
Let v be 0 + 1 - (-20)/(-15). What is the smallest value in 0.2, 8, v?
v
Suppose -4*u + 15 + 1 = 0. Suppose 4*t + 6 = -14. Which is the third smallest value? (a) t (b) 0 (c) u
c
Let f = -0.08 - -0.38. Let c = f - -0.1. Let w be -7 - 1/(-2)*6. What is the biggest value in c, 2/9, w?
c
Let m be 42/5 - 4/10. Let t(z) = z**3 - 5*z**2 - 24*z - 4. Let u be t(8). What is the third smallest value in u, -0.5, m?
m
Let g = 21 + -21.2. Let r be (-24)/14 - 6/(-3). Which is the third biggest value? (a) r (b) 4 (c) g
c
Let m = 5 - 6. What is the biggest value in m, 1, 0.5?
1
Let r = 6.9 - 7. Let k = 0.05 - -0.25. What is the smallest value in k, -0.2, r?
-0.2
Let r = 1.52 + -1.5. Which is the smallest value? (a) 3 (b) r (c) -3
c
Let v be (-2)/5 + (-1)/10. Suppose 2*d + 60 - 10 = 0. Let n = 227/9 + d. Which is the third biggest value? (a) 2 (b) v (c) n
b
Let u = 2 + -2. What is the second smallest value in -1, 3, u?
u
Let l be (-45)/(-20) + 1/(-4). Let y(j) = j + 4. Let t be y(-5). Which is the third smallest value? (a) l (b) -2/5 (c) t
a
Let t = -5/7 - -3/7. Which is the biggest value? (a) -0.4 (b) t (c) -7
b
Suppose -5 + 4 = z, -4*d - 2*z = 18. Let g = 35028/3515 + -184/19. Let q = g + -3/37. Which is the biggest value? (a) -3 (b) d (c) q
c
Let m = 0 + 17. Let g = m + -16.5. What is the smallest value in -4/5, 2, g?
-4/5
Let w = 164 + -1806/11. Which is the third smallest value? (a) 0 (b) w (c) -3
a
Let y be ((-2)/3)/((-10)/6). Let h = 206 + -210. What is the biggest | {
"pile_set_name": "DM Mathematics"
} |
+ 20*i + 43. Calculate r(22).
-1
Let q(y) = -2*y**2 + 14*y - 28. What is q(2)?
-8
Let h(r) = 7*r + 30. Give h(-4).
2
Let g(z) = z - 14. Give g(0).
-14
Let d(s) = s**2 + 14*s + 5. Determine d(-12).
-19
Let g(w) = w**3 + 10*w**2 + 4*w + 45. Determine g(-10).
5
Let r(i) = 6*i**3 + 5*i**2 + 8*i - 2. What is r(-3)?
-143
Let v(l) = -l**3 - 15*l**2 - 16*l - 28. Determine v(-14).
0
Let u(s) = 9*s - 10. What is u(-6)?
-64
Let z(k) = -k**2 - 2*k + 4. Determine z(-5).
-11
Let i(h) = -2*h**3 + 10*h**2 + 10. Calculate i(5).
10
Let m(v) = -3*v + 32. Determine m(13).
-7
Let a(j) = -j**2 - 17*j + 37. Determine a(-19).
-1
Let n(a) = -10*a + 13. Calculate n(2).
-7
Let f(r) = r**3 + 9*r**2 + 13*r - 6. Give f(-7).
1
Let k(s) = -s**3 + 8*s**2 - 9*s - 7. Give k(7).
-21
Let n(a) = a**3 + 10*a**2 + 9*a + 9. Determine n(-9).
9
Let m(i) = -2*i**2 - 2*i + 2. What is m(4)?
-38
Let t(f) = -f**3 - 17*f**2 + 39*f + 28. Give t(-19).
9
Let g(x) = -x**3 - x**2 + 3*x + 1. What is g(3)?
-26
Let g(v) = -v**2 - 8*v + 2. Determine g(-9).
-7
Let k(r) = 5*r - 24. Determine k(4).
-4
Let d(x) = -x**2 + 2. Calculate d(-3).
-7
Let o(w) = 2*w**3 + 32*w**2 - w + 13. Determine o(-16).
29
Let u(f) = -f**2 + f + 62. Determine u(8).
6
Let s(f) = 13*f + 101. Determine s(-8).
-3
Let g(f) = f**2 + f - 5. Give g(-3).
1
Let y(k) = -k**2 - 4*k + 4. What is y(-4)?
4
Let v(l) = 57*l + 331. Give v(-6).
-11
Let s(o) = -2*o**3 + 14*o**2 + 17*o - 7. What is s(8)?
1
Let t(l) = -l + 1. What is t(2)?
-1
Let t(k) = -9*k**2 - 21*k - 20. What is t(-1)?
-8
Let r(o) = 10*o + 99. Determine r(-10).
-1
Let v(d) = 2*d**3 + 7*d**2 + 12*d + 64. Calculate v(-4).
0
Let q(p) = -19*p - 104. What is q(-4)?
-28
Let w(f) = -f**3 + 4*f**2 - 3*f + 8. Determine w(4).
-4
Let b(i) = -i**3 - 24*i**2 + 17*i + 8. Give b(-25).
208
Let s(g) = -g**3 - g**2 + g - 18. What is s(0)?
-18
Let m(l) = l**2 + 12*l + 21. Give m(-11).
10
Let g(q) = q**2 + 11*q - 5. What is g(-10)?
-15
Let t(z) = 2*z + 5. Calculate t(-8).
-11
Let o(g) = -4*g**2 - 10*g - 1. Calculate o(-4).
-25
Let c(g) = g**3 - 4*g**2 - 2*g + 6. What is c(5)?
21
Let r(t) = -t**2 - t + 10. What is r(3)?
-2
Let k(d) = d**3 + 11*d**2 - 5*d + 4. Give k(-11).
59
Let m(v) = v**3 + 3*v**2 + 2*v + 3. Determine m(-2).
3
Let a(o) = o**3 + 12*o**2 + 8*o + 269. What is a(-13)?
-4
Let s(k) = -k**3 - k**2 + k - 6. Determine s(0).
-6
Let w(v) = v**3 - 8*v**2 - 11*v + 10. What is w(9)?
-8
Let u(k) = k**2 + 2*k - 221. What is u(14)?
3
Let x(r) = -5*r**3 + r**2 - r. Determine x(1).
-5
Let v(s) = 5*s + 2. Determine v(-8).
-38
Let y(h) = 6*h**3 + 4*h**2 + 2*h. Determine y(-2).
-36
Let k(t) = t**2 + 6*t - 16. Determine k(-8).
0
Let v(k) = 7*k - 21. Determine v(-2).
-35
Let w(l) = l**2 - 8*l - 14. Calculate w(10).
6
Let z(h) = -3*h - 4. Give z(7).
-25
Let y(z) = z**3 + 13*z**2 - 2*z - 16. Determine y(-13).
10
Let u(v) = -27*v - 247. Determine u(-9).
-4
Let d(r) = -r**2 + 18*r - 6. What is d(11)?
71
Let r(l) = -l**2 + 14*l + 5. What is r(14)?
5
Let c(s) = 9*s - 42. What is c(9)?
39
Let m(p) = -8*p - 3. Calculate m(-9).
69
Let p(w) = w**3 - 2*w**2 - 8*w - 1. Calculate p(4).
-1
Let p(a) = -a**3 - 15*a**2 - 28*a - 7. What is p(-13)?
19
Let d(n) = n**3 + 4*n**2 + 3*n + 1. Determine d(-3).
1
Let m(q) = -3*q**2 + 59*q - 46. Give m(19).
-8
Let f(b) = -b**3 + 9*b**2 - 3*b - 15. Determine f(8).
25
Let d(w) = 38*w + 13. Give d(-5).
-177
Let v(i) = -4*i**2 + 2*i - 3. Determine v(3).
-33
Let a(c) = c**2 + 7*c - 10. Calculate a(-10).
20
Let t(k) = -2*k**3 + 7*k**2 + 3*k - 16. What is t(6)?
-178
Let u(q) = 131*q - 1. Determine u(1).
130
Let x(p) = p**3 - 15*p**2 + 5*p + 22. Calculate x(15).
97
Let k(j) = j**2 - 6*j - 1. Give k(7).
6
Let p(b) = -b**2 + b - 5. Calculate p(2).
-7
Let n(c) = -c**3 + 9*c**2 + c - 1. What is n(9)?
8
Let p(j) = -j**2 - 29*j - 23. Give p(-27).
31
Let o(z) = z**3 - 7*z**2 + 6*z - 10. What is o(6)?
-10
Let o(r) = 8*r**3 - r**2 + 5*r - 3. Give o(1).
9
Let v(z) = -z**2 + 16*z - 6. What is v(18)?
-42
Let m(v) = -6*v - 84. Calculate m(-17).
18
Let k(t) = t**3 + 12*t**2 + 14*t + 9. What is k(-11)?
-24
Let w(j) = j**3 - 25*j**2 + 24*j - 34. Give w(24).
-34
Let j(q) = q**2 + 12*q - 20. What is j(-14)?
8
Let h(w) = w - 22. Give h(12).
-10
Let b(c) = -c**2 + 9*c - 6. Give b(7).
8
Let k(r) = -r + 16. Calculate k(6).
10
Let o(v) = v**3 - 5*v**2 + 2*v - 1. Give o(5).
9
Let h(w) = -w**3 - w**2 + 1. What is h(-2)?
5
Let i(v) = 6*v + 1. Calculate i(1).
7
Let h(d) = 2*d**2 + 55*d + 94. Give h(-26).
16
Let p(u) = -27*u. Determine p(1).
-27
Let o(n) = -n**3 - 12*n**2 - 3*n - 13. Give o(-12).
23
Let p(q) = q**2 + 9*q - 20. Calculate p(8).
116
Let f(p) = -3*p + 10. What is f(2)?
4
Let q(k) = 2*k**3 - 3*k**2 - k + 3. Determine q(2).
5
Let h(b) = -b**2 + 6*b + 9. What is h(6)?
9
Let x(o) = 2*o**3 - 2*o**2 - o + 3. Determine x(2).
9
Let t(w) = -2*w**3 - 2*w**2 - 4*w - 3. What is t(-2)?
13
Let y(t) = t**3 + 13*t**2 + 27*t + 13. What is y(-11)?
-42
Let k(m) = 16*m - 83. Calculate k(5).
-3
Let r(z) = -57*z + 210. What is r(4)?
-18
Let z(w) = w**3 - 3*w**2 + 4*w - 2. What is z(2)?
2
Let m(k) = k**3 + 10*k**2 - 9*k + 2. Calculate m(-11).
-20
Let q(n) = -n**3 + 2*n + 1. What is q(-2)?
5
Let m(h) = -h**2 - 3*h. Determine m(-3).
0
Let g(h) = -h**3 + 6*h**2 + 3. Give g(6).
3
Let h(r) = r**2 - 3*r - 1. Determine h(3).
-1
Let a(z) = -17*z - 2. Calculate a(-1).
15
Let r(l) = l**3 + 20*l**2 + 18*l - 15. What is r(-19)?
4
Let c(t) = 6*t + 127. Determine c(-12).
55
Let j(y) = -3*y**2 + 50*y - 20. Determine j(16).
12
Let s(o) = -2*o**2 - 5*o - 8. Calculate s(-5).
-33
Let z(f) = f**2 - 20*f + 35. What is z(15)?
-40
Let u(n) = 2*n**3 - n**2 + 2. Calculate u(1).
3
Let k(o) = -o**2 + 2*o + 73. What is k(10)?
-7
Let y(p) = p**3 - 6*p**2 - 11*p - 1. Determine y(8).
39
Let b(p) = -p**3 + 12*p**2 - 15*p. Determine b(10).
50
Let z(i) = -i**2 + 5*i - 4. Give z(5).
-4
Let b(w) = -4*w + 35. Give b(0).
35
Let q(v) = 11*v - 240. Calculate q(22).
2
Let h(t) = -t**3 - 9*t**2 + 7*t - 6. What is h(-10)?
24
Let r(c) = 29*c + 1. Determine r(1).
30
Let h(n) = -9*n. Give h(17).
-153
Let x(s) = -3*s - 24. What is x(-11)?
9
Let z(m) = m**2 + 4*m - 14. Give z(-6).
-2
Let j(z) = z + 20. Calculate j(-16).
4
Let r(c) = -20*c + 98. Determine r(5).
-2
Let w(f) = -8*f**3 - f**2 + f - 1. Calculate w(1).
-9
Let s(q) = q**2 + 10*q + 17. Calculate s(-8).
1
Let u(h) = 3*h**3 - 22*h**2 + 7*h - 20. Calculate u(7).
-20
Let o(y) = y**2 + 3*y - 15. Determine o(-8).
25
Let u(p) = -p**3 - 10*p**2 - 12*p + 24. Calculate u(-8).
-8
Let j(y) = 2*y + 35. Calculate j(-18).
-1
Let h(i) = -3*i - 92. What is h(28)?
-176
Let r(g) = 10*g + 43. Calculate r(-5).
-7
Let s(g) = -40*g**2 - g. Determine s(-1).
-39
Let i(d) = d**2 + 2*d - 7. Calculate i(-6).
17
Let s(x) = 10*x**2 + 72*x + 5. Give s(-7).
-9
Let t(x) = 20*x - 164. Determine t(7).
-24
Let o(y) = -7*y - 417. Determine o(-59).
-4
Let s(o) = 15*o + 12. Give s(1).
27
Let g(v) = -10*v + 172. Calculate g(17).
2
Let t(r) = -r**3 - 4*r**2 + r - 1. Determine t(-4).
-5
Let p(i) = -i**2 - 23*i - 110. Give p(-15).
10
Let z(q) = -q**2 + 12*q - 12. Give z(10).
8
Let y(a) = -a**2 - 8*a - 4. Give y(-7).
3
Let s(p) = -26*p - 160. Calculate s(-6).
-4
Let z(h) = h**2 - 11*h + 13. Determine z(10).
3
Let t(c) = -160*c + 808. Calculate t(5).
8
Let u(y) = -2*y + 16. Determine u(9).
-2
Let z(v) = 4*v + 31. Calculate z(-8).
-1
Let a(h) = -131*h**3 + 3*h + 3. Calculate a(-1).
131
Let d(s) = 4*s + 20. Give d(-5).
0
Let g(u) = 16*u - 44. What is g(2)?
-12
Let n(g) = g**2 - 10*g - 10. Calculate n(10).
-10
Let p(f) = -60*f**3 + 2*f**2 + 2*f + 1. Calculate p(-1).
61
Let t(d) = d**2 + 6*d - 6. Give t(1).
1
Let s(l) = l**3 + 57*l**2 - 56*l + 111. Give s(-58).
-5
Let b(l) = -l - 9. Determine b(-16).
7
Let k(l) = 13*l + 6. Calculate k(-2).
-20
Let p(q) = -3*q + 52. Determine p(20).
-8
Let t(b) = -b**3 - 10*b**2 - 11*b - 1. Calculate t(-8).
-41
Let w(a) = -3*a - 13. Determine w(-6).
5
Let c(k) = -k**3 - 11*k**2 + 4*k + 9. Give c(-11).
-35
Let d(y) = -6*y + 13. What is d(5)?
-17
Let r(m) = -m**3 + 7*m**2 + 8*m + 7. Give r(8).
7
Let c(d) = -d + 6. Determine c(-7).
13
Let s(v) = -13*v. Determine s(3).
-39
Let s(z) = -10*z - 2. Calculate s(-1).
8
Let u(r) = -r**2 - 4*r - 11. Calculate u(-2).
-7
Let m(c) = c**3 - 6*c**2 + 6*c - 13. Give m(6).
23
Let w(k) = -k**2 | {
"pile_set_name": "DM Mathematics"
} |
t d = 64 + -69. Which is the closest to x? (a) 3/2 (b) -0.14 (c) d
b
Let r = -2882 - -2882.6. Which is the nearest to -4? (a) -2 (b) 1 (c) r
a
Suppose -9*p = 3*h - 10*p - 1310, 4*p = -2*h + 850. Let i = h - 1306/3. Let s be 2/3*(-3)/(-14). What is the closest to i in s, -0.2, -1/6?
-0.2
Let j be (-338)/(-5)*(-24 + 29). Let i = j + -333. Let c = 2.05 + -0.05. What is the nearest to i in 2/3, -5, c?
c
Let s be (-2)/((40/15)/(-4)) - 2. What is the nearest to -6 in s, -4, 0.1?
-4
Let a = 139.061 + -139. Let d = 0.439 + a. Let v = 823/7 - 118. What is the nearest to -0.2 in d, 4, v?
v
Let m be (4824/300 - 4) + -12. What is the closest to 1/4 in m, -3/2, 0.2, -0.2?
0.2
Let j = -124/89 - -779/623. What is the closest to -3 in 16, -3, j, 3?
-3
Let v = -8975 + 35899/4. Which is the closest to v? (a) 4 (b) 103 (c) -4
c
Let h = 0.02 - 2.02. Let p = -0.407 + 41.407. What is the nearest to 0 in 3/7, p, h?
3/7
Let j be (-32)/20 - (0 + -2). Let k = 0.4 + -0.1. Let m = 4.81 - 5.31. Which is the closest to j? (a) k (b) -1 (c) m
a
Let o = 0.2941 + -0.1041. Which is the closest to -1/2? (a) 4/7 (b) o (c) -1/5
c
Let h = -4585.06 + 4585. Which is the closest to -0.1? (a) h (b) -1/5 (c) 5 (d) -3/4
a
Let f = 13707 - 68534/5. What is the closest to 0 in 1/11, -1/4, -2/1275, f?
-2/1275
Let o = -656/741 + 54/247. Which is the nearest to -29? (a) -19 (b) -1 (c) o
a
Let d = -34 + 135/4. Let l = -466 - -549. Let z = l + -79. Which is the closest to -2/3? (a) -2/11 (b) d (c) z
b
Let v = 27.82 + 4.08. Let u = -32 + v. Which is the nearest to u? (a) -4 (b) -5/2 (c) 2/7
c
Let l = -0.3 - -0.6. Let z = -1.527 - -0.527. What is the nearest to z in 2, 0.1, l?
0.1
Let m = -2965.763 - -2967. Let g = m + -1.337. Let q = -27 - -19. What is the closest to q in 2/3, -1, g?
-1
Let v = 989.8 + -988.8. What is the closest to 9 in 4/3, -5, 4/5, v?
4/3
Suppose 73 = -p - 71. Let u = -149 - p. What is the nearest to 2/5 in u, 0.9, -2/7?
0.9
Let w = 0.1 + 2.9. Let t be (-4)/102*3 - (-33)/(31977/(-532)). Which is the nearest to t? (a) -0.3 (b) w (c) -2
a
Let a = 19.4 - 58.4. Let w = -42 - a. What is the closest to 0 in -16, w, 0.5?
0.5
Let v = -0.024 + -1.976. Let y = -5.842 + 10.842. Which is the closest to 0.1? (a) v (b) y (c) -10 (d) 2
d
Suppose -30*v - 9 - 51 = 0. What is the closest to -5/8 in -4/9, 3, 0.5, v?
-4/9
Let r = -81 + 74. Which is the nearest to -4? (a) -9 (b) 2 (c) r (d) 1/2
c
Let m = 3 + -3.22. Let a = 375.9648 - -0.0352. Let t = -376.4 + a. What is the closest to 1 in t, -1, m?
m
Suppose 0 = -290*u + 304*u - 28. What is the nearest to -2 in 3, 7/5, u, 1/5?
1/5
Let c = 264.02 - 263.02. What is the closest to -2 in 35.5, -2/9, 6, c?
-2/9
Let o = -2.091 - 0.009. Let l = 66822.5 - 66823. Which is the closest to 0? (a) l (b) -0.2 (c) o
b
Suppose -2*s = -10, 0 = -5*n + 3*n + s + 173. What is the closest to 1/3 in -5, -3/8, n, 0.5?
0.5
Let q be 265/20034*-45 + (-4)/(-8). Suppose -m + 17 = 4*w, 0 = 5*m - 3*m - w + 2. Which is the closest to m? (a) -5 (b) q (c) -1/5 (d) 1
d
Let j(m) = -5*m**2 - 4*m - 3. Let c be j(-1). Let h be 116/1015*5/2. What is the nearest to h in c, -3, 0.2, -5?
0.2
Suppose 3*h - 12 = 0, -12 = 106*r - 108*r - 3*h. Which is the closest to r? (a) 2 (b) -4 (c) 3/19
c
Let m = 0.1092 - 111.1292. Let l = -111.99 + 0.99. Let i = m - l. Which is the nearest to -1? (a) i (b) 0.5 (c) 0.4
a
Let v = -566 - -566.1. Let m = -30 - -30. Let t = 41 - 55. What is the closest to 0 in m, v, t?
m
Let k = 7110 - 7108. What is the nearest to 31 in -0.5, 1/4, k?
k
Let l = 0.3 + 0.2. Suppose t + 12*t + 19*t - 64 = 0. Let m = 3.961 + 0.039. Which is the nearest to -2? (a) m (b) t (c) l
c
Let f be 10/(-50) + -13 + 14. Which is the nearest to -1? (a) f (b) -54 (c) 2/15
c
Let x be (-74)/(-185)*(-2)/3*3/2. What is the closest to 0 in x, 4, -52/9?
x
Let w = 11 + -7. Let k = -2/6965 - 6961/13930. Let v = -0.5 + 0. Which is the nearest to k? (a) v (b) w (c) -9
a
Let b = 25 - 24.8. Let t = 12309 - 12313. What is the closest to b in 3, 5, t, -2?
-2
Let k = -717.2 - -717.2. Which is the closest to 0? (a) k (b) -1/6 (c) 1/4 (d) -2/255
a
Let s = 51/31 + -499/341. Which is the nearest to 0? (a) -4 (b) -5.1 (c) s
c
Suppose 21 = s + 4*c, 5*c - 20 = -2*s + 10. What is the closest to s in -0.9, -0.5, 2/15, -3/2?
2/15
Let n = -142 + 19. Let s = n - -117. Which is the closest to s? (a) -2/3 (b) -2 (c) -1
b
Let h = 2068.8 + -2068.3. Which is the closest to 0? (a) h (b) 0.04 (c) 1.6
b
Let u = 648 - 994. Let s = -348 - u. What is the closest to 0 in s, 3, 1/31?
1/31
Let w be (1 + 27/(-12))*96/(-24). Which is the nearest to 0.1? (a) w (b) 2/23 (c) -1/8
b
Suppose 0 = -3*z - 5*h - 5 - 7, -2*z = -h - 5. Let i = 0.0066 + -356.0066. Let m = i - -357. Which is the nearest to m? (a) -0.5 (b) 15 (c) z
c
Let w = 170.198 - 170. Let z = 5.198 - w. Which is the closest to 0.1? (a) 4 (b) -4/3 (c) z
b
Let u = -11470 + 11470.2. Which is the nearest to 3? (a) -0.5 (b) u (c) 47
b
Let u = -0.258 - -0.26. Let h = 4082 - 4082. Which is the closest to h? (a) u (b) -0.1 (c) 0.3 (d) 0
d
Suppose -4*o - 71 = t - 98, -5*o - 5*t = -45. What is the closest to -0.1 in 0.1, -4, -12, o?
0.1
Let d(y) = -2*y + 88. Let i be d(-21). Let w be i/(-42) + 88/924. Which is the closest to -1/7? (a) w (b) -0.5 (c) -4
b
Let p = 22.2 - 22. Let r be (-15)/(-40) + (-3)/12. What is the closest to 2/3 in 4, r, p?
p
Suppose 0 = 2*x + 5*s + 27 - 68, 5*x = 4*s + 86. Let k be (65/52 + -2)/(x/(-8)). What is the closest to -1/2 in k, -0.3, 0.112?
-0.3
Let i be (-1)/(2/76)*(-165)/(-66). Let z = 103 + i. Suppose -4*m + z = -7*m + 2*d, 0 = -m - d - 6. Which is the closest to 1? (a) -0.03 (b) m (c) -5
a
Let w = 0.14 - 0.24. Suppose -63 = -2*r - 51. Suppose 0 = -r*h - 15 - 9. Which is the closest to 1/2? (a) -8 (b) w (c) h
b
Let i be (-8)/(-42) - 2/6. Let l be ((-24675)/(-13160))/(135/12). What is the closest to -1 in -10, 1, l, i?
i
Let y = 0.9 - -2.1. Let a be (-1043)/(-447) + (-3)/(-6)*10/(-15). What is the closest to -2 in y, a, -31?
a
Let r be ((-8)/6 - -1)/(-1). Let f = 81 + -61. Let q = 20 - f. What is the closest to q in r, 6, -1?
r
Let o = 6601 - 33007/5. Which is the nearest to o? (a) 6 (b) -597 (c) 1 (d) 3/4
d
Let h = -45 + 40. Let f = 129.5 - 98. Let k = 31 - f. Which is the closest to 0? (a) k (b) h (c) 3
a
Suppose 19*h - 15*h = -12. Let k be (-1 - (-27)/15)/(2/10). Let g = -6 + k. Which is the closest to 1/3? (a) 3 (b) h (c) g
c
Let d(f) = -6*f - 25. Let q be d(-4). What is the closest to -2 in 0, -19, q, -2?
-2
Let o = 1.84 - 5.84. Let z = -54/17 - -429/119. Which is the closest to 16? (a) z (b) 2/7 (c) o
a
Let h be ((-2)/10 + 1274/(-980))*-3. Which is the closest to 3? (a) h (b) 13 (c) 5 (d) -0.2
a
Let p = -18884.8 + 18885. What is the nearest to p in -4, -1/3, 1/6, -5?
1/6
Suppose 0 - 3 = -3*i. Let q = 3707/3120 + 51/208. Let x = -11/6 + q. Which is the closest to -0.04? (a) x (b) 3 (c) i
a
Let q = 21.7 + -1.8. Let d = q - 21.9. What is the nearest to d in -4/3, 0, 0.3?
-4/3
Suppose -t = -4*t + 6, 4*t = -5*j + 23. Let l = -352 + 349. Which is the closest to -0.3? (a) 1/8 (b) j (c) l
a
Let m = 58 - 52. Let x be -5 + 8 - m - (-119)/3. Let p = -37 + x. What is the closest to p in 3, -4, -5?
3
Let w = -2 + 3. Let r be 51319/(-190) + (-2)/5. Let v = r + 269. What is the nearest to w in 1, 1/5, v?
1
Let g = -5617.9 + 5618. Which is the nearest to g? (a) -2/13 (b) -0.2 (c) -55
a
Let q(u) = u**3 - 14*u**2 + 22*u + 29. Let z be q(12). Which is the nearest to -6/23? (a) -0.4 (b) z (c) 2/13
a
Let y = 3.586 + -3.486. What is the closest to y in -0.5, 2/13, -43?
2/13
Suppose 7*x = -2*k + 14, 2*x - 95 = 5*k - 247. Which is the nearest to 0? (a) 5 (b) -7 (c) k
a
Suppose 7*m - 23*m - 493 = -1565. Which is the closest to 0? (a) -2 (b) 1/7 (c) m (d) -3
b
Let q = -1611 + 1610.5. Which is the closest to 1/2? (a) q (b) -1/4 (c) -3 (d) 0.5
d
Let u = 468 + -443.1. Let l = u + -24.8. Let y be (3/(-18))/(1/(-3)). Which is the closest to l? (a) y (b) 2 (c) 0.06
c
Let w = 4.55 - 4.35. Let y = 2/667 - -1985/5336. Let m = 0 - -0.02. Which is the nearest to w? (a) y (b) m (c) -4
a
Let b = -1 - -6/5. Let j = 188 + -76. Let z = j - 110 | {
"pile_set_name": "DM Mathematics"
} |
. What is the remainder when 13 is divided by b(-5)?
6
Calculate the remainder when 36 is divided by (-147)/(-12) + 21/28.
10
What is the remainder when (19/1)/(7 + -6) is divided by 11?
8
Let q = -224 + 300. Calculate the remainder when q is divided by 20.
16
Let a = 8 - 5. Suppose 0 = 4*c + 2*t - 86, c - 5*c - a*t = -87. Calculate the remainder when 41 is divided by c.
20
Let c = 7 + -7. Suppose o + 13 = -2*k, -3*o = -2*k - 0*k - 1. Calculate the remainder when ((-3)/o + c)*18 is divided by 10.
8
Let x(d) = 0*d**3 - 3*d**2 + 2*d + 0*d**3 + d**3 - 1. Let v be x(2). What is the remainder when v/(((-9)/(-75))/(-3)) is divided by 9?
7
Let m(j) = -4*j**3 - 1. Let l be m(-1). Suppose -2*s - 7 = -o, -l*o - 14 = -0*s + s. Let p = o + 10. Calculate the remainder when 12 is divided by p.
5
Let w(b) = b**2 + 2*b - 3. Suppose -2*m + 6*m = -16. Calculate the remainder when w(m) is divided by 3.
2
Let x = -11 + 13. Let g = 13 + -8. Suppose -g*b + x*b = -57. What is the remainder when b is divided by 7?
5
Let w = 3 - -5. Let n(q) = 3*q + 9. Let t be n(-3). Let y = w + t. Calculate the remainder when 22 is divided by y.
6
Suppose -3*o + 7 = -2*f - 34, -2*o + 28 = -2*f. What is the remainder when 25 is divided by o?
12
Let s = -27 + 19. Let y(t) = 2*t + 11. Let q(i) = i + 12. Let k(x) = 2*q(x) - 3*y(x). Calculate the remainder when k(s) is divided by 12.
11
Suppose a - 3 = -0. Let w be (3 + -2)/1 - -1. Suppose -135 = -w*t - a*t. Calculate the remainder when t is divided by 14.
13
Let z(n) be the first derivative of n**3/3 + 5*n**2/2 + 3. Calculate the remainder when 17 is divided by z(-6).
5
Let i(w) = -3*w + 58. Calculate the remainder when i(8) is divided by 6.
4
Let a(g) = -14*g**3 + g**2 - 1. Let t be (0/(1 - 2))/2. Suppose -3*y - y - 4 = t. Calculate the remainder when 41 is divided by a(y).
13
Let n(h) = h**2 - 11*h + 14. Suppose l = 5*l - 20. Let d = l - 2. Calculate the remainder when n(10) is divided by d.
1
Suppose s = 2*p - 3, 4*p - 3*s = 2*p + 1. Suppose -2*i = -5*i - 5*g - 4, -p*i = -5*g - 39. What is the remainder when 19 is divided by i?
5
Let w = -9 - -21. Let s = 57 + w. Let u = s + -47. What is the remainder when u is divided by 12?
10
Suppose -3*u - 159 = -3*r, -4*u + 35 = -2*r + 141. Calculate the remainder when r is divided by 14.
11
Suppose 5*l + 22 = -4*n + 86, l - n - 11 = 0. Calculate the remainder when 35 is divided by l.
11
Suppose -2*a = 3*a - 15. What is the remainder when 3 is divided by a?
0
Let c(j) = -5*j + 7. Calculate the remainder when 105 is divided by c(-4).
24
Let k(t) = -78*t**2 - 2*t - 3. Let g(y) = 157*y**2 + 4*y + 5. Let z(i) = 4*g(i) + 7*k(i). Calculate the remainder when z(1) is divided by 28.
27
Let m = -21 - -39. Let b(f) = f**3 + 10*f**2 + 7*f - 8. What is the remainder when m is divided by b(-9)?
8
Suppose 4*z = 50 + 10. Suppose -3*m = 4*r - 5 + 16, 0 = 3*m + z. Suppose -15 = -2*p - r. Calculate the remainder when p is divided by 3.
1
Let k(i) = -i**3 - 8*i**2 - 2*i - 10. Calculate the remainder when k(-9) is divided by 15.
14
Suppose -14 = 2*q - 44. Suppose -1 - q = -4*p. Suppose 3*u + 81 = 2*a, -a - 118 = -p*a + u. What is the remainder when a is divided by 14?
11
Let f = -105 - -156. What is the remainder when f is divided by 18?
15
Let a be (9/3)/((-12)/(-20)). Let l = 15 + a. What is the remainder when l is divided by 11?
9
Let q(s) = s**3 + 2*s**2 - s. Let i be q(1). Suppose -10 = -i*r + 4. What is the remainder when r is divided by ((-4)/(-4) - 5) + 7?
1
Let n = -15 + 0. Let m = n + 20. Calculate the remainder when 12 is divided by m.
2
Suppose 4*u + 80 = -2*w - u, 2*w + 64 = -u. What is the remainder when 28 is divided by (-4)/(-3)*w/(-4)?
8
Suppose 83 = -2*b + 251. Let f = b + -38. Calculate the remainder when f is divided by 12.
10
Let m(t) = -3 - 3*t + 9*t + 0. What is the remainder when 42 is divided by m(3)?
12
Suppose 3*s - 43 = 26. What is the remainder when s is divided by 8?
7
Let h = -1 - -17. Let u(w) = -w**3 + 6*w**2 + w + 1. Let n be u(5). Suppose 0*q - q + n = 0. Calculate the remainder when q is divided by h.
15
Let g(t) = -t**3 + 2*t**2 - 2*t - 3. Let a be 14/35 - (-3)/5. Suppose -5*y + 165 = -k, -14 = 3*k + a. Calculate the remainder when y is divided by g(-2).
15
Suppose 6*s - 28 - 170 = 0. What is the remainder when 131 is divided by s?
32
Let z(q) = 2*q + 14. Calculate the remainder when z(20) is divided by 22.
10
Let y(z) = z + 10. Let g be y(-8). Let o(u) = u**3 - u**2 + 2*u - 3. Suppose 0 = -0*j + 5*j - 45. What is the remainder when j is divided by o(g)?
4
Suppose 2*o - 3*r = 58, 3*o - 5*r - 20 = 68. What is the remainder when o is divided by (-2)/(-8) + 27/4?
5
Suppose 0 = 2*t - 32 - 48. What is the remainder when t is divided by 21?
19
Calculate the remainder when (5 + -2)/((-183)/(-87) + -2) is divided by 10.
9
Suppose 4*l - 4*m - 104 = 0, 2*l - 4*m = -0*l + 62. Let x = 19 + -11. What is the remainder when l is divided by x?
5
Let c(l) = 7*l - 24. Calculate the remainder when c(5) is divided by 4.
3
Let z = 1 - 1. Let d = 5 + z. What is the remainder when 7 is divided by d?
2
Let q(u) = u. Let a be q(8). Suppose 15 = 3*y - a*y, 0 = 2*n - y - 45. Calculate the remainder when 60 is divided by n.
18
Suppose 12 = -3*m + 6*m. Suppose -3*o + 30 = -0*o. What is the remainder when o is divided by m?
2
Let p = 45 - -23. Suppose 5*q = 5*b - 0*b - 170, -2*b - 5*q = -p. Suppose -3*g + b + 14 = 0. Calculate the remainder when 46 is divided by g.
14
Suppose j = 5*j - 8. Suppose -3*d - 42 = 3*p - 15, d - 3*p = 11. Calculate the remainder when 12 is divided by -14*(j/d + 0).
5
Let j be ((3 + -4)*0)/(-3). Suppose -3*k - o + 88 = -j*k, 4*k - 5*o - 92 = 0. What is the remainder when 55 is divided by k?
27
Let p be (-1 + 8)*(5 - 4). Suppose p = -3*n + 352. Suppose -n = -7*r + 2*r. What is the remainder when r is divided by 13?
10
Suppose 11*s - 126 = 8*s. Calculate the remainder when 165 is divided by s.
39
Suppose 3 = -0*w + w. What is the remainder when (-2)/6 + 148/w is divided by 24/(-16)*(-52)/6?
10
Suppose 4*v - v = 21. Suppose -4*w + 2*x + 1 = -v, -3*x = -5*w + 11. Calculate the remainder when 35 is divided by (1 - 2)/(w/(-18)).
17
Let a(g) = 3*g**2 - 2*g + 3. Let j(i) = -22*i + 1. Calculate the remainder when a(5) is divided by j(-1).
22
Suppose -2*c + 11 = 3*u - 6, 28 = 3*c + 5*u. What is the remainder when c is divided by 1?
0
Let j = -6 - -12. Let z = -106 + 51. Let m = z - -78. What is the remainder when m is divided by j?
5
Suppose -9*f + 10*f - 10 = 0. What is the remainder when 39 is divided by f?
9
Let t = 132 + -70. Calculate the remainder when t is divided by 16.
14
Suppose -3*d = -d - 4. Suppose d*r - 8 = -x, 5*r = -5*x + 12 + 48. Let t = -1 + 47. Calculate the remainder when t is divided by x.
14
Let y be (-225)/(-10)*(3 - -1). Suppose 0 = -5*j + 11*j - y. Suppose 3*q = 4*g + 152, 2*q = -2*g + 29 + 49. What is the remainder when q is divided by j?
14
Let s be (-3)/(9/6) + 16. Let p = 2 + s. Calculate the remainder when 28 is divided by p.
12
Let f(y) = y**2 - y + 2. Suppose -92 = -2*l - 10. What is the remainder when l is divided by f(4)?
13
Let c = 67 - -49. Suppose 0*q + 4*q = c. Calculate the remainder when q is divided by 8.
5
Let v be (3/(-2))/(2/4). Calculate the remainder when 1/((-12)/14 - -1) is divided by (2/v)/((-2)/9).
1
Let y = -8 - -10. Let o(s) = -2*s + 3 + y*s + s**2 + 3*s. Calculate the remainder when 13 is divided by o(-4).
6
Suppose -18 = -d + 3*p, d = -2*p - 3*p + 58. Calculate the remainder when d is divided by 17.
16
Suppose n - 4*o + 1 = 2, -2*n + o + 2 = 0. Let p be 16/4 + (n - 1). Suppose v + 6*g - 23 = p*g, -4*v + 108 = 4*g. What is the remainder when v is divided by 11?
9
Suppose -3*d = -4*u + 341, 314 + 116 = 5*u - 5*d. What is the remainder when u is divided by 17?
15
Let v = -9 + 12. Suppose -5*y + 1481 = -4*r + 197, -4*y = 2*r - 1022. Calculate the remainder when v/9 - y/(-6) is divided by 15.
13
Let g(n) be the third derivative of n**6/30 - n**5/30 + n**4/12 - 2*n**2. Calculate the remainder when g(2) is divided by 15.
13
Let l = 20 - 16. Calculate the remainder when 13 is divided by l.
1
Let y(w) = w**2 + 19*w + 68. What is the remainder when y(-17) is divided by 9?
7
Let p = 9 + -7. Suppose -4 - 2 = -p*a, -27 = -3*k - 2*a. What is the re | {
"pile_set_name": "DM Mathematics"
} |
is l*t(d) + 5*k(d)?
2*d - 2
Let o(v) = 14*v - 14. Let j(l) = -5*l + 5. Suppose 0 = -3*t - 7 - 11. Give t*o(i) - 17*j(i).
i - 1
Let w(n) = 17*n + 5. Let p(l) = -9*l - 3. Determine 5*p(i) + 3*w(i).
6*i
Let v(h) = -h**2. Let n(j) = 3*j**2. Let d = -2 - -31. Suppose -4*z + 36 = -4*r - 0*z, -r + 5*z - d = 0. Let s be (-2)/(5/(170/r)). Give s*v(p) + 6*n(p).
p**2
Let l(k) = k**3 - k**2 + 5*k + 6. Let i(j) be the first derivative of -j**3/3 + 2*j**2 + 5*j + 5. What is 5*i(z) - 4*l(z)?
-4*z**3 - z**2 + 1
Let v be 1/1*3*-1. Let r(i) = i**2 - 4*i + 1. Let o be r(3). Let p(t) = -4*t + 1. Let m(f) = 5*f - 1. Give o*m(q) + v*p(q).
2*q - 1
Let t(p) = -28 - 5*p - 31 + 54 - 11*p**2. Let x(g) = -17*g**2 - 8*g - 8. What is 8*t(j) - 5*x(j)?
-3*j**2
Let b(l) = l**2 - 4 + 15 + 2*l**2 + l**3 - 3*l**3. Let u(f) be the second derivative of -f**5/20 + f**4/12 + 5*f**2/2 + 2*f. What is 3*b(r) - 7*u(r)?
r**3 + 2*r**2 - 2
Let o(r) = 3*r + 15. Let u(l) = -l - 8. What is -3*o(d) - 7*u(d)?
-2*d + 11
Let k(h) = -3*h**2 - 5*h + 3. Suppose 2*u = -0*u - 10. Let l(x) = -x + 2*x - 2*x**2 + 2 - 4*x + 0*x**2. Give u*l(c) + 3*k(c).
c**2 - 1
Let n(r) = r - 5. Let l be n(-2). Let c(b) = -2*b**2 - 7*b - 3. Let m(i) = -4*i**2 - 13*i - 5. What is l*c(d) + 4*m(d)?
-2*d**2 - 3*d + 1
Let z(h) = 0*h + 3*h + 3 - 3*h**2 + 2*h**2. Let y be 2/(-1) + (10 - 1). Let d(b) = 2*b**2 - 7*b - 7. Give y*z(w) + 3*d(w).
-w**2
Let l(i) = -i + 1. Let n be l(5). Let j(v) = -v + 2. Let o(w) = -1 + 2 + 0*w + 1 - w. What is n*o(q) + 5*j(q)?
-q + 2
Let z(f) = -6*f - 13. Let v(m) = -3*m - 7. Determine -7*v(d) + 4*z(d).
-3*d - 3
Let i(p) = p. Let h(m) = m**3 - m**2 - 1. Let a(x) = 0*x**2 + 0 + 4*x - 2 + 3 + 4*x**2 - 3*x**3. Let v(g) = a(g) + 2*h(g). Give -4*i(c) + v(c).
-c**3 + 2*c**2 - 1
Let d(i) = -5*i**3 + 4*i. Let g = 217 - 226. Let b be -4 - (3 - (-4)/(-2)). Let p = -1 - b. Let v(q) = -11*q**3 + 9*q. Determine g*d(k) + p*v(k).
k**3
Let t(y) = -61*y - 6. Let v(b) = -184*b - 17. What is 17*t(a) - 6*v(a)?
67*a
Let n = -1 + 0. Let j(i) = i - 4. Let l be j(5). Let c(k) = 0*k**2 + 4*k**2 - 5*k**2 + 0 - l. Let s(q) = 2*q**2. Give n*s(d) - c(d).
-d**2 + 1
Let s(u) = u + 1. Let w(l) = 8*l - 7. Determine 6*s(m) - w(m).
-2*m + 13
Let u = -1 - -7. Let w(v) = -2*v**2 + 4*v - 6. Let d(y) = 1. Determine u*d(q) + w(q).
-2*q**2 + 4*q
Let v(x) = x**3 + 3*x**2 + x + 6. Let p be v(-3). Let q(z) = z**2 + 2. Let c(i) = -i**2 - 3. What is p*c(l) + 5*q(l)?
2*l**2 + 1
Let j(k) be the first derivative of -k**2 - 6. Let p(v) = 3*v. Let x(y) = y**3 + 5*y**2 - 7*y - 4. Let f be x(-6). Suppose 0*n + f*n = -8. Give n*j(z) - 3*p(z).
-z
Let g(k) = 5*k**2 + 3*k + 5. Let c(d) = 4*d**2 + 2*d + 4. Let n(i) = -4*i - 8. Let w be n(-4). Let z = 5 - w. Determine z*g(q) + 4*c(q).
q**2 - q + 1
Let j(y) = 8*y**2 - 2*y - 2. Let v = 13 - 14. Let o be v*(3 - (-3 - -7)). Let a(m) = -m**2. Calculate o*j(w) + 6*a(w).
2*w**2 - 2*w - 2
Let b(w) be the third derivative of w**6/24 - w**4/3 + 4*w**3/3 - 2*w**2. Let u(f) = 3*f**3 - 5*f + 5. What is -5*b(o) + 8*u(o)?
-o**3
Let n(c) = -c**3 + c**2 + 1. Let t(f) = 9*f**3 + 4*f**2 + 7. What is 5*n(x) - t(x)?
-14*x**3 + x**2 - 2
Let n(t) = -t + 14 - 30 + 17. Let d(p) = 4*p - 5. Determine -d(b) - 2*n(b).
-2*b + 3
Suppose -3*s = -4*s - 1. Let k(o) = 2*o - 1. Let u(j) = -1. Determine s*k(y) + 2*u(y).
-2*y - 1
Let a(k) = -k**3 + 2*k**2. Let g(m) = -2*m**3 + 3*m**2. Let l be -1*0/(0 - -2). Suppose -6*h + 2*h + 8 = l. What is h*g(z) - 3*a(z)?
-z**3
Let w(f) = -f**3 - 7*f**2 + 2*f - 2. Let r(t) be the third derivative of -t**6/24 - 29*t**5/60 + 3*t**4/8 - 3*t**3/2 - 14*t**2. Determine 2*r(v) - 9*w(v).
-v**3 + 5*v**2
Let n(s) = s - 12. Let w(b) = 3*b - 35. Calculate 17*n(i) - 6*w(i).
-i + 6
Let t(q) = 1 + 2 + 6*q - 5 + 9*q**2 - 4. Let l(o) = 8*o**2 + 5*o - 5. Calculate 6*l(d) - 5*t(d).
3*d**2
Let p = 1 + 0. Let o(n) be the second derivative of n**2/2 + 32*n. Let r(z) = z - 1. Calculate p*r(s) + 2*o(s).
s + 1
Let p(g) = -2*g - 9. Let f(x) = x + 4. Determine 14*f(l) + 6*p(l).
2*l + 2
Suppose 0 = -9*i + 8*i + 1. Let m be (2 - i)*(-6 - 1). Let w(l) = -2*l**2 + 1. Let v(n) = 6*n**2 - 3. Calculate m*w(h) - 2*v(h).
2*h**2 - 1
Suppose 0 = -2*r + 4*d, 10 = d + 4*d. Let y(x) = -r*x**2 + 2 + 14*x - 14*x. Let n(v) = 9*v**2 - 5. Calculate -2*n(c) - 5*y(c).
2*c**2
Let n(k) = -6*k**2 + 2. Let c(i) be the second derivative of -5*i**4/12 + i**2/2 - 6*i. Calculate -5*c(p) + 4*n(p).
p**2 + 3
Let w be (-1)/((-6)/72*-4). Let z(b) = -2*b**3 + b - 3. Let d(m) = -2*m**3 - 2. Calculate w*d(s) + 2*z(s).
2*s**3 + 2*s
Let m(u) = 4*u**3 - 4*u**2 + 6*u. Let o be 105/20*8/6. Let d(w) = 9*w**3 - 9*w**2 + 13*w. Determine o*m(j) - 3*d(j).
j**3 - j**2 + 3*j
Let j = 9 - 8. Let u(x) = -x**3 - x**2 - x + 1. Let i(c) = 2*c**3 + 6*c**2 + 6*c - 6. What is j*i(h) + 6*u(h)?
-4*h**3
Let c(n) = n**2 - n + 2. Let r(f) = -2*f**2 + f - 4. Determine 5*c(m) + 2*r(m).
m**2 - 3*m + 2
Let s(j) = -3*j - 2. Let d be (-258)/(-54) - (-4)/18. Let c(y) = 2*y + 1. Calculate d*s(i) + 8*c(i).
i - 2
Let q(m) = m**2 - 1. Let o(y) be the third derivative of -y**6/120 - y**5/20 - y**4/24 + y**3/2 - y**2 + 4*y. Calculate -o(l) - 3*q(l).
l**3 + l
Let c(t) = t - 1. Let f(y) = -3*y + 3. Suppose -2*a = -4*a + 2. Let k = a + 2. Suppose 2*m - 55 = -k*m. Calculate m*c(j) + 4*f(j).
-j + 1
Let q(v) = -v + 2. Let p(t) be the second derivative of t**3/6 - 3*t**2/2 - 13*t. Determine 5*p(j) + 6*q(j).
-j - 3
Let x be 1 + (-6)/(1 - -1). Let a be 2*(-1)/x*5. Let y(k) = k**3 - 2*k**2 + 2*k. Let v(h) = -2*h**3 + 5*h**2 - 4*h. Calculate a*y(c) + 2*v(c).
c**3 + 2*c
Let n be (28/(-10) - -2)/(24/60). Let u(v) = -v**2. Let o(h) = 7*h**2. What is n*o(z) - 18*u(z)?
4*z**2
Let c(i) = i**2 - i. Suppose -5*j + 2*g = -82, -2*j + 2 = -3*j + 5*g. Let r = -13 + j. Suppose r = -b + 3. Let o(f) = 4*f**2 - 3*f. Determine b*o(v) + 6*c(v).
-2*v**2
Let t(w) = 3*w + 2. Let b be t(0). Let c(d) = -d + 2. Let i(g) = -g - 5*g + 11 + 0. Give b*i(h) - 11*c(h).
-h
Suppose -4 - 2 = -3*c. Let k(t) = -t**2 + t. Let y(r) = 3*r**2 - 2*r. Determine c*k(a) + y(a).
a**2
Let z(x) be the second derivative of x**5/20 + x**4/12 + x**3/3 + 2*x**2 - 7*x. Let q(w) = -w**3 - w**2 - w - 3. What is -4*q(s) - 3*z(s)?
s**3 + s**2 - 2*s
Let d(c) = 3 - 3*c**2 - c**2 + 4*c**3 + 7*c**2 - 3*c. Let f(k) = k**3 + k**2 - k + 1. What is -d(q) + 3*f(q)?
-q**3
Let o(u) = 4*u**2 - 8*u + 1. Let q(a) = -3*a**2 + 7*a - 1. Suppose 2*s + 5*z = -3, 4*s - 27 = 2*s + 5*z. Calculate s*q(v) + 5*o(v).
2*v**2 + 2*v - 1
Let w(x) = 4*x + 14. Let u(y) = -8*y - 27. Calculate -3*u(n) - 5*w(n).
4*n + 11
Let o(j) = -6*j**2 + 25*j - 7. Let y(r) = -3*r**2 + 13*r - 3. Calculate -3*o(i) + 7*y(i).
-3*i**2 + 16*i
Let q(f) = f**2 - f. Let s(k) = 8*k**2 - 7*k - 6. Give 14*q(j) - 2*s(j).
-2*j**2 + 12
Let h(f) = f**2 - 2*f - 2. Let r be (-35)/(-4) + 1/4. Let s(p) = -6*p + 3*p + 0*p + 5*p**2 - r - 6*p. Determine 9*h(z) - 2*s(z).
-z**2
Let b(z) = 7*z + 8. Let c(k) = 6*k + 7. What is 4*b(q) - 5*c(q)?
-2*q - 3
Let a(s) = -1. Let m(h) = 3*h. What is -2*a(f) - m(f)?
-3*f + 2
Let d(c) = -c**2 + 1. Let h(v) be the first derivative of 2*v**3 + v**2 - 4*v + 43. Give -4*d(l) - h(l).
-2*l**2 - 2*l
Let u(w) = 3*w**2 - 2*w + 2. Let g(b) be the second derivative of -b**4/12 - b**3/6 + b**2/2 + 2*b. Determine -2*g(i) + u(i).
5*i**2
Let v(j) = -2545*j**3 - 11*j + 0*j + 2532*j**3. Let l(x) = -6*x**3 - 5*x. Give 9*l(q) - 4*v(q).
-2*q**3 - q
Let l(c) be the second derivative of 5*c**3/6 - 4*c**2 + 2*c. Let b(u) = -9*u + 15. Determine -6*b(w) - 11*l(w).
-w - 2
Let w = -26 - -24. Let r(o) be the third derivative of o**4/12 + 5*o**3/6 - 2*o**2. Let c(d) = 2*d + 4. Calculate w*r(p) + 3*c(p).
2*p + 2
Let z(r) = -4*r**3 + 16*r**2 + 16. Let d(b) = b**3 - b**2 - 1. Give -16*d(n) - z(n).
-12*n**3
Let t(i) = -6*i**2 - 3. Let x be 10 + -9 - (2 - 2). Let w(p) = -p**2 - 1. Determine x*t(q) - 3*w(q).
-3*q**2
Suppose 8 = 3*c - 7. Let v(u) = 2*u - 5. Let z(s) = -7*s - 15. Let t(g) = 20*g + 42. Let d(n) = -6*t(n) - 17*z(n). Determine c*d(h) + 3*v(h).
h
Let m(f) = -13*f. Let j(z) = -1. Calculate 3*j(w) + m(w).
-13*w - 3
Let x(b) = 8*b + 1. Suppose s = -2 - 3. Let z(y) = -7*y - 1. Let o(t) = -t**2 + 5*t. Let m be o(6). Give m*z(r) + s*x(r).
2*r + 1
Let t(p) = 8*p**3 - 9*p**2 - 6*p. Let k(n) = -n**3 + n**2 + n. Determine 6*k(h) + t( | {
"pile_set_name": "DM Mathematics"
} |
rms in 17*f**3 - 14*f**3 - 18*f**3 - 111*f**2 + 14*f**3 + 111*f**2.
-f**3
Collect the terms in 1563674 - 1563674 - 8*x.
-8*x
Collect the terms in -9*p - 3*p + 56*p - 37*p.
7*p
Collect the terms in -59310*u + 1764*u - 27458*u.
-85004*u
Collect the terms in 212 - 24 + 89 + 65 + 2*t.
2*t + 342
Collect the terms in 15*r**3 + 35*r + 35*r - 70*r - 26 + 26.
15*r**3
Collect the terms in -1 + 2161*x + 1 - 4055*x + 1896*x.
2*x
Collect the terms in u + 0*u + 5*u - 5*u + 14*u.
15*u
Collect the terms in 4434*l**3 - 76*l**2 + 76*l**2.
4434*l**3
Collect the terms in -38 + 20 - 4859*v**3 + 18.
-4859*v**3
Collect the terms in 3*o + 14*o - 20*o + 21*o.
18*o
Collect the terms in 314*t - 17 - 313*t + 20.
t + 3
Collect the terms in -45*m**3 + 15*m**3 - 64*m + 13*m**2 + 11*m**3 + 20*m**3.
m**3 + 13*m**2 - 64*m
Collect the terms in -66*u**2 + 101*u**2 + 31*u**2.
66*u**2
Collect the terms in -678 - 681 - 675 + 3*d + 2043.
3*d + 9
Collect the terms in 589*h**3 - 359*h**3 - 229*h**3.
h**3
Collect the terms in -12*o + 263*o + 11*o - 11*o.
251*o
Collect the terms in -450*z - 456*z - 183*z + 251*z.
-838*z
Collect the terms in 626*n**2 - 8*n**3 + 624*n**2 - 1250*n**2.
-8*n**3
Collect the terms in 58261 - 58261 - 33*j**2.
-33*j**2
Collect the terms in -12 - 3117*l + 12 + 3094*l.
-23*l
Collect the terms in 56060*l + 56064*l + 56059*l - 168186*l.
-3*l
Collect the terms in -5*q**3 - 378 + 749 - 99*q**3 - 371.
-104*q**3
Collect the terms in 1087*q + 0 + q**2 + 0 - 1089*q + 34*q**2.
35*q**2 - 2*q
Collect the terms in -62*l - 2720 + 2720 + 185*l.
123*l
Collect the terms in -3 - 1 + 0*c + 15*c + 4 - 20*c.
-5*c
Collect the terms in -58*u**2 - 8*u**3 + 56*u**2 + 25 + 5*u**3 - 9*u**3.
-12*u**3 - 2*u**2 + 25
Collect the terms in -265*r + 462*r - 196*r.
r
Collect the terms in 9*f**3 + 258*f**2 - 11*f**3 - 221*f**2.
-2*f**3 + 37*f**2
Collect the terms in 114*q**3 - 285*q**3 + 100*q**3.
-71*q**3
Collect the terms in 23*c**2 + 285*c**3 - 833*c**3 - 23*c**2 + 277*c**3 + 266*c**3.
-5*c**3
Collect the terms in 40*a + 32*a + 2*a**2 - 68 - 72*a.
2*a**2 - 68
Collect the terms in -3676*u**2 + 17*u**3 + 3676*u**2 - u**3.
16*u**3
Collect the terms in 3 - 4 + 0 + 7 + 161*c.
161*c + 6
Collect the terms in -264*n - 1 + 1085*n - 266*n - 276*n - 269*n.
10*n - 1
Collect the terms in 186404*y + 186399*y - 372842*y.
-39*y
Collect the terms in y + 88*y - 35*y - 23*y - 32*y.
-y
Collect the terms in -1138*h + 112*h**3 + 1138*h + 139*h**3.
251*h**3
Collect the terms in 0*p - 4*p + 4*p - 1 - 20 + 4*p.
4*p - 21
Collect the terms in -48137*w**2 + 144413*w**2 - 48141*w**2 - 48135*w**2 + 3*w**3.
3*w**3
Collect the terms in -9*i + 13*i + 3*i**2 + 7*i - 27*i.
3*i**2 - 16*i
Collect the terms in 4190*s + 48*s + 9277*s.
13515*s
Collect the terms in 1735107*n**3 - 867546*n**3 - 867543*n**3.
18*n**3
Collect the terms in 1 + 2 - 2 + 218 + 3*w - 219.
3*w
Collect the terms in -4851*c - 10 + 2457*c + 2391*c.
-3*c - 10
Collect the terms in -29 - 64*b + 4*b**2 - 13 + 63*b.
4*b**2 - b - 42
Collect the terms in -200*j + 470*j - 181*j + j**2.
j**2 + 89*j
Collect the terms in 3 - 7*t + 136*t - 164*t - 3.
-35*t
Collect the terms in 6*u**3 - 21 + 29 + 7*u**3 - 22*u**3 + 11*u**3.
2*u**3 + 8
Collect the terms in 20 + 21 + 8*h**2 + 0 + 69.
8*h**2 + 110
Collect the terms in -l**2 - 2*l**2 - 18*l + 10*l + 2*l.
-3*l**2 - 6*l
Collect the terms in -147512119*w + 147512119*w + 7*w**3.
7*w**3
Collect the terms in -36*z + 15*z + 39*z + 23*z.
41*z
Collect the terms in 380*i**3 + 44*i**2 - 44*i**2 - 50*i**3.
330*i**3
Collect the terms in 4*g**2 + 15626 - 31188 - 3*g**2 + 15562.
g**2
Collect the terms in 771887*l - 771887*l - 5*l**3.
-5*l**3
Collect the terms in 15620076 - 2*n**2 - 15620076.
-2*n**2
Collect the terms in -97*i**3 + 22*i**2 - 5*i**2 - 5*i**2 + 93*i**3 - 12*i**2.
-4*i**3
Collect the terms in -719*t - 722*t - 727*t + 2168*t - t**3.
-t**3
Collect the terms in 2552 - 6*u + 314*u - 2552.
308*u
Collect the terms in 138*v + 144*v + v**2 - 59*v - 223*v.
v**2
Collect the terms in 5 - 4*k**3 + 5 - 10 + 0*k**3.
-4*k**3
Collect the terms in 4*j + 135*j**3 + 12143 - 4*j - 12143.
135*j**3
Collect the terms in 402 + 15 - 143 - 139 + 8*z - 135.
8*z
Collect the terms in 10052*g**3 + 11472*g**3 + 6*g - 3*g - 2*g.
21524*g**3 + g
Collect the terms in -7893 + 7893 + 73*f**2.
73*f**2
Collect the terms in -v**2 + 4522*v**3 - 4515*v**3 + 3*v**2 - 2*v**2.
7*v**3
Collect the terms in 1037*j**2 + 865*j - 865*j - 1028*j**2.
9*j**2
Collect the terms in -18860 + 7*f + f + 0*f + 18860.
8*f
Collect the terms in -2*s**3 - 17 + 17 + s**3 + 5*s**3.
4*s**3
Collect the terms in -6*q - 264 + 521 + 6*q - 257 + q**2.
q**2
Collect the terms in 280 - 91 - 96 + 61*a - 93.
61*a
Collect the terms in 7 + 19 + 21 + 13*n - 11*n.
2*n + 47
Collect the terms in -2*n + 0*n - n + 181*n**3 + 465*n**3.
646*n**3 - 3*n
Collect the terms in -4*l - 2*l**3 + 4*l + 10*l**2 + 12*l**2 - 3*l**2.
-2*l**3 + 19*l**2
Collect the terms in -6749*n + 13497*n - 6750*n.
-2*n
Collect the terms in -433*u**2 - 25 - 2*u**3 + 25.
-2*u**3 - 433*u**2
Collect the terms in 5780 - 11561 - 9*d + 5779.
-9*d - 2
Collect the terms in -26*z + 114*z - 23*z + 143*z + 3*z.
211*z
Collect the terms in 31*u - 18 - 23*u + 0*u + 110.
8*u + 92
Collect the terms in -475*y - 476*y + 1420*y - 467*y.
2*y
Collect the terms in -26*b + 170*b - 19*b - 87*b - 22*b - 24*b.
-8*b
Collect the terms in -564 + 6*l**3 + 0*l - 5*l**3 + 0*l + 596.
l**3 + 32
Collect the terms in 10301*w + 37 + 1153*w - 37.
11454*w
Collect the terms in 190*n**2 - 263*n**2 + 25*n**2 + 34*n**2.
-14*n**2
Collect the terms in -4 + 14 - 12481*p**3 + 12483*p**3.
2*p**3 + 10
Collect the terms in -3*z + 33 + 4*z - 29.
z + 4
Collect the terms in -61*k + 2406 - 2406 - 8*k.
-69*k
Collect the terms in 223*b**3 + 782*b - 782*b.
223*b**3
Collect the terms in -58815*d + 58815*d - 14*d**3 - 7 + 7.
-14*d**3
Collect the terms in 22777 + 22809 - 5*m**3 - 45586.
-5*m**3
Collect the terms in -353*c + 716*c - 359*c.
4*c
Collect the terms in -b**3 + 54155*b**2 + 3*b**3 - 54155*b**2.
2*b**3
Collect the terms in -82*k + 172 - 172 - 71*k.
-153*k
Collect the terms in 1664*j - 775*j**3 - 1664*j + 746*j**3.
-29*j**3
Collect the terms in -36*r**2 + 8*r**2 + 76*r**2.
48*r**2
Collect the terms in 946*j**3 - 1889*j**3 + 945*j**3.
2*j**3
Collect the terms in 438*a**3 + 37*a**2 - 1310*a**3 + 437*a**3 + 433*a**3 + 7*a**2.
-2*a**3 + 44*a**2
Collect the terms in 46*q**3 + 830*q - 830*q - 45*q**3.
q**3
Collect the terms in -97023073 - 35*j + 97023073.
-35*j
Collect the terms in -2792832*m**2 + 2792832*m**2 - 11*m**3.
-11*m**3
Collect the terms in -444*a + 1773*a - 438*a - 429*a - 435*a.
27*a
Collect the terms in 7*q**3 - 866886 - 19*q**3 + 866887.
-12*q**3 + 1
Collect the terms in 55*k**2 + 90*k**2 - 2*k - 339*k**2 - 157*k**2.
-351*k**2 - 2*k
Collect the terms in -136 + 14*y - 4*y - 9*y.
y - 136
Collect the terms in -125 + 125 + 4494*i**3.
4494*i**3
Collect the terms in 150*v - 273*v - 11*v**2 + 123*v.
-11*v**2
Collect the terms in -3206*d + 1589*d + 1615*d.
-2*d
Collect the terms in 402*b + 326*b**2 - 200*b**2 - 402*b.
126*b**2
Collect the terms in 334*h**2 + 705*h**2 + 57*h**2 - 199*h**2.
897*h**2
Collect the terms in 80395 - 6*i**3 - 160783 + 80388.
-6*i**3
Collect the terms in -14 - 33*y + 0*y**3 + 14 - y**3.
-y**3 - 33*y
Collect the terms in 80*r + 47*r + 222*r - 21*r.
328*r
Collect the terms in 2 - 110*o - 1818*o**2 + 110*o.
-1818*o**2 + 2
Collect the terms in -1410 + 1408 - 55*v + 51*v.
-4*v - 2
Collect the terms in 44*w - 194*w + 49*w + 49*w + 44*w.
-8*w
Collect the terms in -126 + 126 - 63*a**2 + 51*a**2.
-12*a**2
Collect the terms in -253*i**3 + 964*i**3 - 202*i**3 + 598*i**3.
1107*i**3
Collect the terms in -3215*c**2 + 1516*c**2 + 1580*c**2.
-119*c**2
Collect the terms in 156*n - 445*n + 134*n + 152*n.
-3*n
Collect the terms in 835*y**3 - 2*y + 926*y**3 - 2602*y**3 + 2*y + 829*y**3.
-12*y**3
Collect the terms in -136 - 40*r**3 + 136 + 185*r**3.
145*r**3
Collect the terms in 2*g**2 + 934 - 1876 + 942.
2*g**2
Collect the terms in -2*o**3 - 155*o**3 + 419*o**3.
262*o**3
Collect the terms in 102658*w - 205321*w + 102666*w.
3*w
Collect the terms in -353*l**3 - 347*l**3 + 1005*l**3 - 300*l**3.
5*l**3
Collect the terms in 2 + 0 - 2 + 2662*z**2.
2662*z**2
Collect the terms in -39*l + 22*l - 3* | {
"pile_set_name": "DM Mathematics"
} |
ue
Does 174 divide 103497984?
True
Is 183 a factor of 291374979?
True
Is 20740032 a multiple of 72?
True
Is 58914817 a multiple of 2578?
False
Is 5669 a factor of 87126861?
True
Is 77533053 a multiple of 3?
True
Does 1803 divide 68189380?
False
Does 7 divide 30401717?
False
Is 3034 a factor of 567824400?
False
Is 387104468 a multiple of 34?
False
Is 573645223 a multiple of 617?
False
Is 1355855872 a multiple of 1024?
True
Is 190 a factor of 56853955?
False
Is 32286570 a multiple of 222?
True
Does 972 divide 396362160?
True
Is 19724403 a multiple of 2091?
True
Does 328 divide 11252696?
True
Does 1444 divide 2391414176?
True
Is 29002839 a multiple of 69?
True
Does 11 divide 104057338?
True
Is 268 a factor of 910284280?
False
Is 146545146 a multiple of 198?
True
Is 105535307 a multiple of 2633?
False
Does 4121 divide 148406756?
False
Does 3229 divide 1223007597?
False
Is 137407294 a multiple of 2414?
True
Is 25 a factor of 16788436?
False
Does 2 divide 66708769?
False
Is 2894 a factor of 3743853322?
False
Is 1184 a factor of 200498758?
False
Is 26 a factor of 632709762?
False
Is 94 a factor of 312153978?
True
Does 1038 divide 29843233?
False
Is 10 a factor of 486862910?
True
Does 11 divide 1091977902?
False
Is 35518960 a multiple of 1978?
False
Does 5214 divide 2005530742?
False
Is 5738 a factor of 50142419?
False
Does 13 divide 63022123?
False
Does 1452 divide 158461116?
True
Is 864058032 a multiple of 36?
True
Is 1051365187 a multiple of 53?
True
Does 599 divide 12010203?
False
Is 218208105 a multiple of 26?
False
Is 11 a factor of 392988790?
False
Is 26 a factor of 186264?
True
Is 4 a factor of 5164764?
True
Is 908415734 a multiple of 4283?
True
Is 5251 a factor of 342160411?
True
Is 4796 a factor of 4164031080?
True
Is 5135 a factor of 537655040?
True
Is 70741067 a multiple of 5?
False
Is 241023821 a multiple of 97?
False
Does 56 divide 143553195?
False
Does 142 divide 26284262?
False
Is 105847252 a multiple of 172?
True
Does 9 divide 100273509?
True
Is 384 a factor of 3457832103?
False
Is 731 a factor of 344820508?
False
Does 5 divide 2289105?
True
Is 1672 a factor of 3624301?
False
Does 294 divide 1266552?
True
Does 8 divide 1296928?
True
Is 36209989 a multiple of 294?
False
Does 14 divide 270254740?
True
Is 1379974740 a multiple of 20?
True
Is 46355325 a multiple of 25?
True
Is 42 a factor of 818118714?
True
Is 56 a factor of 105755608?
True
Is 12015108 a multiple of 84?
True
Is 1181034030 a multiple of 15?
True
Is 621426308 a multiple of 5663?
False
Does 19 divide 285580412?
True
Is 20 a factor of 148841375?
False
Does 392 divide 15996333?
False
Does 3629 divide 712403035?
False
Is 22235812 a multiple of 218?
False
Does 121 divide 9908206?
True
Is 965 a factor of 6938350?
True
Does 1847 divide 5518836?
True
Is 576897145 a multiple of 13805?
True
Is 12682435 a multiple of 3?
False
Is 1432 a factor of 11592994?
False
Is 2 a factor of 11231124?
True
Does 128 divide 231882496?
True
Is 893401 a multiple of 8?
False
Does 161 divide 18013988?
False
Is 304 a factor of 156229309?
False
Is 1013 a factor of 287220955?
True
Is 100772640 a multiple of 160?
True
Is 146 a factor of 532457182?
True
Does 2749 divide 233616320?
False
Is 814437209 a multiple of 58?
False
Is 2973797492 a multiple of 17?
False
Does 25 divide 345686500?
True
Is 110 a factor of 73835850?
True
Is 2547168974 a multiple of 302?
False
Does 967 divide 49150642?
False
Is 4777648391 a multiple of 8649?
False
Is 2637020714 a multiple of 8?
False
Does 23 divide 322021045?
True
Does 1994 divide 818546639?
False
Is 53438684 a multiple of 62?
False
Is 8 a factor of 13869776?
True
Is 18 a factor of 166266190?
False
Is 70 a factor of 19624357?
False
Is 2078011354 a multiple of 1858?
True
Is 294848000 a multiple of 200?
True
Is 2848 a factor of 560142018?
False
Is 647029920 a multiple of 16?
True
Is 250705773 a multiple of 6417?
True
Is 6 a factor of 1235034?
True
Is 1155121912 a multiple of 715?
False
Is 18 a factor of 4322735142?
False
Is 28 a factor of 5491867?
False
Is 393600402 a multiple of 60?
False
Is 20 a factor of 16988320?
True
Is 49764462 a multiple of 2803?
True
Is 10210040 a multiple of 3?
False
Does 30 divide 351652710?
True
Does 12 divide 11303157?
False
Is 248119542 a multiple of 1092?
False
Does 34 divide 83003724?
True
Is 138906159 a multiple of 21?
True
Is 83 a factor of 32812025?
False
Is 45 a factor of 183636501?
False
Is 12925418 a multiple of 2?
True
Is 15 a factor of 111862725?
True
Does 2391 divide 335007792?
True
Does 15 divide 761358801?
False
Is 233428662 a multiple of 529?
False
Is 66 a factor of 28876432?
False
Is 677593041 a multiple of 31?
False
Does 2 divide 31857547?
False
Is 49 a factor of 418859777?
False
Is 239 a factor of 92704037?
True
Does 73 divide 13407024?
False
Is 735846192 a multiple of 24?
True
Is 429600226 a multiple of 352?
False
Does 484 divide 600265512?
True
Is 11937402 a multiple of 5?
False
Is 68 a factor of 7529509?
False
Does 67 divide 7386348?
True
Does 387 divide 50047614?
True
Is 143 a factor of 950386294?
True
Is 39992456 a multiple of 110?
False
Does 5 divide 928436056?
False
Is 14 a factor of 153826467?
False
Is 27060045 a multiple of 361?
False
Does 61 divide 11919068?
False
Does 525 divide 100850945?
False
Is 184 a factor of 90380452?
False
Is 20 a factor of 5276907020?
True
Does 7 divide 247983563?
False
Does 9 divide 28677935?
False
Does 110 divide 13376000?
True
Does 17 divide 518602?
True
Is 33086984 a multiple of 210?
False
Is 22 a factor of 215688122?
False
Is 3457792026 a multiple of 117?
True
Does 823 divide 100540972?
True
Is 42104630 a multiple of 30?
False
Is 48614230 a multiple of 14?
True
Is 427 a factor of 14343021?
False
Is 86 a factor of 201986136?
True
Is 39081602 a multiple of 61?
True
Does 19 divide 71553251?
False
Does 1250 divide 264336934?
False
Does 113 divide 1033322624?
True
Does 2692 divide 57659888?
False
Is 24610980 a multiple of 346?
True
Is 242 a factor of 2972257286?
False
Is 26919560 a multiple of 2696?
True
Does 1164 divide 487080308?
False
Does 304 divide 24847440?
True
Does 12 divide 6794016?
True
Does 1329 divide 49130482?
False
Is 56150536 a multiple of 59?
True
Does 163 divide 144596648?
True
Is 62 a factor of 1189842?
True
Is 593 a factor of 799272885?
False
Is 41 a factor of 304938509?
False
Is 521036500 a multiple of 428?
True
Does 1621 divide 22057574?
False
Is 275572275 a multiple of 1353?
True
Does 60 divide 661998613?
False
Is 4104 a factor of 357093144?
True
Does 69 divide 80652927?
True
Is 193041872 a multiple of 602?
False
Is 596792415 a multiple of 4197?
True
Is 233 a factor of 44822210?
True
Is 1668647700 a multiple of 180?
True
Is 25 a factor of 475748000?
True
Does 1283 divide 9726297?
False
Is 2380 a factor of 10748775?
False
Does 1577 divide 11997816?
True
Is 9 a factor of 9223472?
False
Does 5 divide 400080686?
False
Does 5 divide 130841069?
False
Is 54 a factor of 6021702?
True
Does 42 divide 14141546?
False
Is 24218074 a multiple of 289?
False
Is 14242103 a multiple of 29?
True
Is 34 a factor of 64533700?
True
Is 173019361 a multiple of 622?
False
Is 90 a factor of 158121000?
True
Is 1656624106 a multiple of 86?
True
Does 187 divide 19801804?
True
Does 73 divide 1384964833?
True
Is 433 a factor of 83316588?
False
Is 2 a factor of 2715865?
False
Is 205 a factor of 47247170?
True
Does 186 divide 64292460?
False
Is 46110893 a multiple of 7?
False
Is 3372994371 a multiple of 7?
False
Does 47 divide 21880062?
False
Is 154354915 a multiple of 3245?
True
Is 10867352 a multiple of 13?
False
Is 11309298 a multiple of 78?
True
Is 13931525 a multiple of 35?
False
Is 518 a factor of 16462558?
True
Is 5683 a factor of 1008850988?
False
Is 77424620 a multiple of 1729?
True
Is 636 a factor of 199355?
False
Is 1503996 a multiple of 13?
True
Is 140637090 a multiple of 106?
True
Is 6745640 a multiple of 220?
True
Does 486 divide 1524398763?
False
Is 579076234 a multiple of 1591?
False
Is 48 a factor of 412184064?
True
Is 26367780 a multiple of 60?
True
Is 1201 a factor of 801559410?
True
Is 4 a factor of 855702464?
True
Is 3352230 a multiple of 153?
True
Is 66 a factor of 1900121984?
False
Is 61182869 a multiple of 83?
True
Is 15 a factor of 72076545?
True
Is 84945008 a multiple of 7352 | {
"pile_set_name": "DM Mathematics"
} |
00
Let b = 0.684822 - 0.686. What is b rounded to 4 dps?
-0.0012
Suppose -4*t + 4*u + 4 = 0, u = -u + 6. Suppose -12562622 + 115762622 = -t*m. Round m to the nearest 1000000.
-26000000
Let f be 1/9 + 294/27. Suppose -7*y - 12820 = -f*y - 5*h, y - 2*h = 3192. Round y to the nearest one thousand.
3000
Let u = -429 + 429.0002058. What is u rounded to five dps?
0.00021
Let k = 13.00000602 - 13. What is k rounded to 7 decimal places?
0.000006
Suppose 64*y - 180 = 59*y. What is y rounded to the nearest one hundred?
0
Suppose 8*r = 4*r. Suppose r = -o - o. Suppose -t = -3*l + 6 - 174, 2*t + 6 = o. What is l rounded to the nearest 10?
-60
Let b = 4 - 50. Let j = -46.068 - b. Round j to two dps.
-0.07
Let j = 10210449 + -10210250.99769. Let n = 198 - j. What is n rounded to 4 dps?
-0.0023
Let a(b) = 1772501*b**2 - b - 2. Let t be a(2). Round t to the nearest 1000000.
7000000
Let f = 0.239 + 300.861. Let x = 266 - f. What is x rounded to zero decimal places?
-35
Let q(m) = m**3 + 7*m**2 + 2. Let l be q(-7). Suppose -2*y + 4 = -l. Suppose -2*z = y*z + 1250000. What is z rounded to the nearest one hundred thousand?
-300000
Let v = 31 - 31.0000034. What is v rounded to five decimal places?
0
Let y = 145 + 28. What is y rounded to the nearest ten?
170
Let k(s) = 26*s**2 - 7*s - 65. Let o be k(-13). What is o rounded to the nearest one hundred?
4400
Let r = 1768.001021 - 1768. Round r to 4 dps.
0.001
Let n be 300*(-5)/(3*(-1)/125). Let l be n*(11/77 - (-173)/(-35)). What is l rounded to the nearest one million?
0
Let i = 27.960375 - -0.048825. Let f = -0.07 + 28.07. Let m = i - f. Round m to 3 dps.
0.009
Let d = -5760.8172 - -5758.31719816. Let s = d - -2.5. Round s to 7 decimal places.
-0.0000018
Let s = -21 - -18.3. Let o = 17.7 + s. Let p = -14.999992 + o. Round p to five decimal places.
0.00001
Let g = -0.5739 - -0.573896249. Round g to seven dps.
-0.0000038
Let u = -377 + 423. Round u to the nearest one hundred.
0
Suppose -3*r = -2*r + 5*c + 29, r + 4*c + 24 = 0. Let l be 102000 + ((-8)/r - 2). Round l to the nearest 10000.
100000
Let h = 68.745 + -68.8. What is h rounded to 3 dps?
-0.055
Let m(l) = -l + 4 + 85*l**3 + 5*l**2 + 9*l**2 - 15*l**2 + 3*l**2. Let w be m(-4). What is w rounded to the nearest 1000?
-5000
Let t = 34.12 - 35. Let a = 7449.1139 + -7450. Let i = a - t. What is i rounded to 3 decimal places?
-0.006
Let o = -28327 - -60543. Suppose -c + 5*w = -150809 - o, c - 4*w = 183020. Round c to the nearest ten thousand.
180000
Let c = -45.5 - -65. Let p = -2.5 + c. Let a = p + -22.5. What is a rounded to 0 decimal places?
-6
Let g be ((2 - 1) + -1)*17/34. Let b(k) = -k**2 + 447. Let d be b(0). Suppose -h + 5*l - 94 = g, -d = 5*h - 3*l + l. Round h to the nearest ten.
-90
Let q = -2738 + 2738.0000005686. What is q rounded to seven decimal places?
0.0000006
Let l = -0.05 + 16.55. Let k = 7 + 14. Let n = k - l. Round n to 0 decimal places.
5
Let j = 66 + -123. Let o = 180 + j. Let y = -123.00051 + o. What is y rounded to 4 dps?
-0.0005
Let z be 5480004 - (-12 + 0)/(-3). What is z rounded to the nearest one million?
5000000
Let v = 24914839971.29 - 25103372341. Let p = v - -188532279.70999839. Let r = p - -90. Round r to seven decimal places.
-0.0000016
Let i = 3422 - 3421.99997867. Round i to six dps.
0.000021
Suppose 2*j + b + 0*b = 15, 0 = -5*j + 2*b + 24. Suppose -j*s = -7*s - 5. Round s to the nearest ten.
-10
Let l = -10.10000273 - -10.1. What is l rounded to six dps?
-0.000003
Suppose 144*q - 134*q = -1414000. What is q rounded to the nearest 100000?
-100000
Let t = 65.000000222 - 65. Round t to 7 dps.
0.0000002
Suppose -f = 2*x - 83 + 20, -3*x + 97 = 4*f. Round x to the nearest one hundred.
0
Let v = -296971851 - -296971849.02265541. Let j = v - -34.97730919. Let o = j + -33. What is o rounded to six dps?
-0.000035
Suppose 1260701 = -42*f - 12767299. Round f to the nearest 10000.
-330000
Let l = 1672 - 459. Let q = 1767 - l. Round q to the nearest 100.
600
Let k = 0.7054 - 0.0573. What is k rounded to 2 dps?
0.65
Let m = 41813756 - 41813734.19999546. Let b = 21.8 - m. What is b rounded to 7 decimal places?
-0.0000045
Let h = 702.77 - 706. Let p = h - -3.409. What is p rounded to 2 dps?
0.18
Let c = 0.4716 - 0.2442. Let o = -0.117 + c. Let g = o + -0.1. Round g to 3 decimal places.
0.01
Let m = 3.9 - 2.4. Let y = m + -1.4956. What is y rounded to three decimal places?
0.004
Let n = -8898 - -16807. Round n to the nearest 100.
7900
Suppose 0*q + q = -5, 3*q = 4*w - 2079. Suppose -274 = -p + l - 10, -l = 2*p - w. Round p to the nearest 100.
300
Let n = -0.01237 + -319.18963. Let i = n - -320. Round i to 2 decimal places.
0.8
Let j = 24.3 + 41.9. Let k = j + -56. Round k to zero dps.
10
Let y(t) = 832*t**3 - 8*t**2 - 2*t - 12. Let l be y(6). Round l to the nearest 10000.
180000
Let w be (-2)/((-3)/(-4) + 3025363/(-4033828)). Let g = w + 1734457. What is g rounded to the nearest one hundred thousand?
700000
Let h = 32.4 - 59.2. Round h to the nearest ten.
-30
Suppose -5*n - 92 = -7. Let p = -15 - n. Suppose -5*i + p*m + 11504 = 0, -9196 = -5*i + i - 2*m. Round i to the nearest one thousand.
2000
Let f be (-1202550)/(-125) - (-2)/(-5). Round f to the nearest 100.
9600
Let n = -465.13 + -43.47. Round n to the nearest 10.
-510
Let b = -1288 - -1286.7. Round b to the nearest integer.
-1
Let v = 5.2 + 26.6. Round v to the nearest 10.
30
Suppose 5*l = -3*k - 10039430 - 64360567, 4*l + 4*k = -59519996. Round l to the nearest 1000000.
-15000000
Let i = 992 - 991.482. What is i rounded to 2 dps?
0.52
Let g = -112454163.23753 - -112445439.3. Let f = 8724 + g. Let v = 0.063 - f. Round v to 4 decimal places.
0.0005
Let w = -0.083196 + 0.085. Round w to 4 dps.
0.0018
Let q = 27 - 106. Let b = 297 - q. What is b rounded to the nearest ten?
380
Let a = -8.07 - -8. Let o = -0.1 - a. Let n = -2.31 - o. Round n to 1 decimal place.
-2.3
Let i = -38.54 + 0.54. Let l = -37.9999995 - i. Round l to six dps.
0.000001
Suppose -y = -179922 + 1366309. Let j be y - (-1 - 1)*-1. Let w = -2076389 - j. What is w rounded to the nearest one hundred thousand?
-900000
Let v(b) = b**2 + 9748*b**3 + 23253*b**3 + 0*b**2. Let z be v(-1). Round z to the nearest 10000.
-30000
Suppose -2*w - g - 16 = 0, 2*w + 2*w = -3*g - 36. Let o = w - -10. Suppose -5*p + 471 = -f - 234, -2748 = o*f + 4*p. Round f to the nearest 100.
-700
Let s = 57 - 164. Let j = -107.047 - s. What is j rounded to 2 dps?
-0.05
Let l = -6.9 + 7. Let i = 0.15 + -0.09. Let m = l + i. Round m to one decimal place.
0.2
Suppose -31 + 11 = -4*v. Suppose -2*q = -v*q. Suppose -4*l + 54400016 = 4*f, -2*l + q*l = -3*f - 27199988. Round l to the nearest 1000000.
14000000
Let z = 300741 - 300735.39988. Let l = z + -5.6. What is l rounded to 4 dps?
0.0001
Let o = -2605.9995658 - -2606. Round o to four decimal places.
0.0004
Let q = 27 - 19. Let z = -11.1 + q. Round z to the nearest integer.
-3
Let p = -5.39297 - 20.61613. Let a = -26 - p. What is a rounded to 3 decimal places?
0.009
Let f = 404435.67 + -398622. Let u = f - 5879. Let r = u - -68. What is r rounded to one decimal place?
2.7
Suppose -d - d = -6012. Suppose -2*b = -3*z - 6026, z - 3*z + d = b. Suppose -4*o = 2*h + h + 6034, 0 = 2*o + 5*h + b. Round o to the nearest one hundred.
-1500
Let r = -152.22 + 271.05. What is r rounded to the nearest ten?
120
Suppose 0 + 5 = j. Suppose 29274 = j*n + 99274. What is n rounded to the nearest ten thousand?
-10000
Suppose 5*i + 5*s = 20, i - s = s + 4. Suppose -2*o - 3*l + 2*l + 999 = 0, 3*l + 2003 = i*o. What is o rounded to the nearest one thousand?
1000
Let f = 2620432.69 - 2632656. Let y = f - -12066. Let u = 158 + y. What is u rounded to 1 decimal place?
0.7
Let a = -2.32 + 2. Let n = a - -0.354. Let o = n - 0.04. What is o rounded to three decimal places?
-0.006
Let z = -12.104 - -12.6. Let u = z - 0.4959639. Round u to six dps.
0.000036
Let x = -5508 + 5452.29. Round x to the nearest ten.
-60
Let w = 769.97906 + -770. Round w to three decimal places.
-0.021
Let a = 1767 + 13648. Round a to the nearest 1000.
15000
Let i = -29 + 4. Let p = i - -26.57. Round p to one dp.
1.6
Let p = 3.81 + -3.7265. Round p to two dps.
0.08
Let q = 537 - 536.9341. What is q rounded to 2 dps?
0.07
Let q = 3.1 + -157.1. Let w = 17260815724 - 1 | {
"pile_set_name": "DM Mathematics"
} |
be 83/3 + 2/(-3). Let v = -8 + k. Suppose -28 - 22 = -5*d. Calculate the remainder when v is divided by d.
9
Let l(s) = -s**3 - 3*s**2 + 5*s + 5. Let j(n) = 10*n - 1. Let r be j(-2). Let d = 37 + r. What is the remainder when l(-5) is divided by d?
14
Let b = -6 + 91. Let q = 10 + 12. What is the remainder when b is divided by q?
19
Suppose 0 = d - 1 - 21. What is the remainder when d is divided by 12?
10
Let t = 28 - 22. Calculate the remainder when 35 is divided by t.
5
Let c = 4 + -2. Let o be 10/c*(2 - -1). Suppose -o = 3*i, -4*i = -3*k - 0*i + 38. Calculate the remainder when 17 is divided by k.
5
Let l be -1 + 0 + 0 - -2. What is the remainder when 11 is divided by (-4)/l*6/(-6)?
3
Suppose -3*t + 4 = -35. Suppose -4*n + 0*n + 200 = 0. What is the remainder when n is divided by t?
11
What is the remainder when 59 is divided by ((-96)/(-168))/((-2)/5)*-14?
19
Let x(h) = -h**3 - 5*h**2 - 4*h - 1. Calculate the remainder when x(-5) is divided by (0 - 4/16)*-28.
5
Let j = -5 + 45. Let p = -4 - -16. Suppose -3*h + p = -51. Calculate the remainder when j is divided by h.
19
Let c(p) = -p**3 + 6*p**2 + 8*p + 1. Let k be c(7). Suppose -115 = -k*v + 3*v. Calculate the remainder when 66 is divided by v.
20
Let z(r) = 6*r**2 + 11*r + 5. Calculate the remainder when z(-5) is divided by 26.
22
Let j = -7 + 18. Suppose 0 = h + 3*v - 8, 4*h - 49 - j = 2*v. Calculate the remainder when 55 is divided by h.
13
Let d(r) = 23*r - 3. Suppose 4*n - 3 = 1, -2*a - 2*n = 4. Let z be d(a). Calculate the remainder when (z/15)/(6/(-20)) is divided by 6.
4
What is the remainder when (1 - 0)/(1/23) is divided by (-6)/27 + 112/18?
5
Suppose -7*q + 2*q + g = -1, 5*q = -2*g + 13. Suppose -4*p + 79 = 5*l, 5*p + 0 = -l - q. Calculate the remainder when l is divided by 11.
8
Let j(o) = 13*o**3 - 2*o + 1. Let t be (-2 - 1 - -3) + 1. Calculate the remainder when 33 is divided by j(t).
9
Let g = 1 + -9. Let u(z) = z**2 - 3*z + 3. Calculate the remainder when (-12)/g*14 + -2 is divided by u(4).
5
Suppose 4*r - 213 = -0*r - 3*i, -2*r + 96 = -2*i. Let z = r + -32. Let c = 23 - 16. Calculate the remainder when z is divided by c.
5
Suppose 340 = -4*q - 24. Let v = q - -135. Calculate the remainder when v is divided by 15.
14
Suppose 0 = -5*h + 4*a + 77, -h + 0 = 5*a + 2. Let w(c) = -9*c - 3. Let b be w(-6). Let m = b + -27. Calculate the remainder when m is divided by h.
11
Suppose 144 = 4*s + 4*t, -3*s + 3*t + 120 = -0*t. Calculate the remainder when 185 is divided by s.
33
What is the remainder when 64 is divided by (2 + (-24)/9)*(-32 - 1)?
20
Let b(r) = 0*r**2 + 2 + 7*r**2 + 0 - 5*r**2 - 4*r. Calculate the remainder when b(-4) is divided by 13.
11
Let h(x) = -x**2 - 3*x + 4. Let u = 9 + 1. Calculate the remainder when u is divided by h(-3).
2
Let q = 1 - -43. Let t = 68 - q. Let r = -6 + 19. Calculate the remainder when t is divided by r.
11
Let s(n) = -1 - 2*n + 6*n - 3*n. Let x(m) = -4*m + 12. Let r(j) = -12*s(j) - x(j). What is the remainder when 46 is divided by r(-2)?
14
Let q(t) be the third derivative of t**5/60 - t**4/24 + 7*t**3/6 + 5*t**2. What is the remainder when q(-6) is divided by 17?
15
What is the remainder when 27 - (-4 + (3 - 2)) is divided by 8?
6
Let d(f) = f**2 - 4*f - 4. Let r be d(6). Suppose 0 + r = j. Let t(n) = n**3 - 9*n**2 + 10*n + 3. What is the remainder when t(j) is divided by 7?
5
What is the remainder when 32 is divided by (-37 - 2)/(-3) - (2 + -1)?
8
Let p(i) = -2*i**3 - 5*i**2 - 2*i + 2. What is the remainder when 48 is divided by p(-3)?
14
Let v(z) = 4*z**2 - z. Calculate the remainder when 77 is divided by v(-3).
38
Let p(a) = -2*a - 13. Calculate the remainder when 13 is divided by p(-8).
1
Let w(k) = -k**2 + 7*k + 1. Let m be 16 + (-1 - 5)/3. Let j be (-111)/(-21) - 4/m. What is the remainder when 20 is divided by w(j)?
9
Let l(k) = 10*k. What is the remainder when 19 is divided by l(1)?
9
Let r(a) be the second derivative of a**4/12 - a**3/2 - a**2 - 3*a. Calculate the remainder when r(5) is divided by 3.
2
Suppose -3 = -2*o + 7. Suppose -n = -3*x - x + 8, n = 0. What is the remainder when o is divided by 2/(4/(-3) + x)?
2
Suppose 4*h - 2*m - 126 = -40, 3*m = -4*h + 101. Suppose a - h = 2*f, -4*a + 2*a + 2*f + 36 = 0. What is the remainder when 23 is divided by a?
10
Let c(x) = -x**2 + 11*x + 4. What is the remainder when 52 is divided by c(10)?
10
Let j = -13 - -8. Suppose -p + 2 + 7 = 3*y, -4*y - 5*p + 23 = 0. What is the remainder when (6/j)/(4/(-10)) is divided by y?
1
Suppose 0*o = -o + 1, 3*o - 1 = h. Let f = 23 + -16. Suppose -f = -i - 5*c - 23, -3*c - 12 = 0. What is the remainder when i is divided by h?
0
Let x = 890 + -884. Suppose 3*g - 71 = -f, 0 = 3*g - 2*f - 89 + 24. What is the remainder when g is divided by x?
5
Suppose -10*p - 51 + 141 = 0. Calculate the remainder when 41 is divided by p.
5
Suppose -3*s + 4*s - 3*w - 1 = 0, -s - 2*w = -21. Suppose 2*j = -0*j + 8. What is the remainder when s is divided by j?
1
Suppose -3*p = -10 + 1. What is the remainder when 4 is divided by p?
1
Suppose j - 3*j + 8 = 0. Suppose -j*q - 17 = -161. Suppose 5*g - q = g. What is the remainder when 16 is divided by g?
7
Suppose 45 = 2*b - 2*q - 3, 0 = q + 4. Calculate the remainder when 56 is divided by b.
16
Suppose -4*t = t. Let z be 2 + (t - 2)/(-2). Suppose 0 = 5*r + 4*u - 23, -5 + 32 = z*r - 2*u. Calculate the remainder when 19 is divided by r.
5
Suppose -r = -16 + 1. Let d = -28 + 56. What is the remainder when d is divided by r?
13
Let s(n) = -n**2 + 7*n - 5. Suppose -3*q = 2*x - 15 + 1, 4*q - 12 = 4*x. What is the remainder when 13 is divided by s(q)?
6
Let s(d) = -d**3 - 4*d**2 + 4*d + 20. Calculate the remainder when s(-6) is divided by 12.
8
Suppose y + 2 = 0, 3*g + y - 13 = -0*y. Calculate the remainder when 2/(-4) - (-105)/6 is divided by g.
2
Let o = 19 - 6. What is the remainder when 47 is divided by o?
8
Suppose -2*n + 6 + 0 = 0. Let f be -3 - (n - (-1 - -2)). What is the remainder when 4 is divided by (-1 - f) + 0 + -1?
1
Suppose -390 = 7*o - 13*o. Calculate the remainder when o is divided by 23.
19
Let c(f) = 1 - 2*f**2 + 2*f + f**2 - 4 + 2*f**3. Calculate the remainder when c(2) is divided by 5.
3
Suppose -4 = 3*v - 5*v. Suppose -f = -v*f + 10. What is the remainder when f is divided by 3?
1
Let x = 11 + -8. Suppose -x*u + 7 = -53. Calculate the remainder when u is divided by 7.
6
Let z(s) = -s**3 + 6*s**2 - 4*s - 3. Let w be z(5). Suppose -w*i + i = 4*t - 59, -16 = -t + i. Calculate the remainder when 29 is divided by t.
14
Let v = 33 + -20. Suppose 3 = -2*x + v, -2*x = -5*d + 245. What is the remainder when d/4 - 2/(-8) is divided by 7?
6
Let i(m) = 7*m + 3. Let v(a) = a**2 - 4*a - 8. Calculate the remainder when i(5) is divided by v(7).
12
Suppose 2*t + 4 = -0. Calculate the remainder when (-5)/10 + (-5)/t is divided by 2.
0
Calculate the remainder when (-3 + 6 + -74)/(-2 - -1) is divided by 12.
11
Suppose -2*c - 4*j - 18 = 0, 3*c + 0*j + 26 = -5*j. Let s = c - -10. Suppose s*l + 7 - 70 = 0. What is the remainder when 62 is divided by l?
20
Let x(u) = u**3 - 9*u**2 - 10*u + 5. What is the remainder when 19 is divided by x(10)?
4
Suppose -2*a + 3*a = -3. Let d(u) = 3*u**2 + 5*u + 3. What is the remainder when 27 is divided by d(a)?
12
Let v(u) = -3*u + 2. Let z(c) = 3*c**3 - c. Let d be z(-1). What is the remainder when 15 is divided by v(d)?
7
Suppose 564 = 5*d + 69. What is the remainder when d is divided by 25?
24
Let g = -6 + 12. Let f(a) = a**3 - 11*a**2 + 12*a + 14. Let t be f(10). Let v = 51 - t. Calculate the remainder when v is divided by g.
5
What is the remainder when (3 + (-4)/2)/((-2)/(-76)) is divided by 21?
17
Suppose -4*q + 18 = 3*k, -2*k = -3*q - k + 20. Let d(l) = -l**3 + 4*l**2 + 6*l + 6. What is the remainder when d(5) is divided by q?
5
Suppose -3*o = -5*j - 52, 64 = -0*o + 5*o + 3*j. Calculate the remainder when 37 is divided by o.
9
Let d be (-2 - 0/2)*-2. Suppose -x + 2*u = d - 6, -x = 2*u - 6. Calculate the remainder when 5 is divided by x.
1
Suppose 0 = -i + 4*i - 48. Let h(f) = f**3 - 6*f**2 + f - 4. Let s be h(6). Suppose 2*t = -s*t + 36. What is the remainder when i is divided by t?
7
Suppose 3*r + i + 0 = 8, -4*r + 12 = i. Suppose r*x - 77 - 31 = 0. What is the remainder when x is divide | {
"pile_set_name": "DM Mathematics"
} |
divided by 2478?
2475
What is the remainder when 88602 is divided by 6884?
5994
Calculate the remainder when 308477 is divided by 2571.
2528
Calculate the remainder when 579506173 is divided by 2048.
2045
What is the remainder when 2083802 is divided by 1303?
305
Calculate the remainder when 6399321 is divided by 370.
171
Calculate the remainder when 831188 is divided by 831177.
11
Calculate the remainder when 491479 is divided by 3731.
2718
Calculate the remainder when 338510665 is divided by 33.
31
What is the remainder when 1829036 is divided by 7987?
13
What is the remainder when 14766091 is divided by 3691519?
15
What is the remainder when 20985252 is divided by 20985242?
10
Calculate the remainder when 8880 is divided by 1252.
116
What is the remainder when 3149122 is divided by 85111?
15
Calculate the remainder when 22356 is divided by 10352.
1652
Calculate the remainder when 21902 is divided by 522.
500
What is the remainder when 2700029 is divided by 21?
17
What is the remainder when 181268 is divided by 2160?
1988
Calculate the remainder when 37762469 is divided by 164.
157
Calculate the remainder when 7358965 is divided by 919869.
13
What is the remainder when 568775 is divided by 523?
274
What is the remainder when 143186 is divided by 800?
786
What is the remainder when 71884 is divided by 16757?
4856
What is the remainder when 399421125 is divided by 64579?
10
What is the remainder when 756845 is divided by 2259?
80
Calculate the remainder when 35945986 is divided by 11.
10
Calculate the remainder when 107987314 is divided by 58.
14
Calculate the remainder when 495188 is divided by 164809.
761
Calculate the remainder when 9704512 is divided by 13.
12
What is the remainder when 481253 is divided by 6590?
183
What is the remainder when 5893447 is divided by 1473355?
27
Calculate the remainder when 446339 is divided by 218.
93
Calculate the remainder when 507697 is divided by 126760.
657
Calculate the remainder when 687709 is divided by 22177.
222
What is the remainder when 19891 is divided by 1865?
1241
What is the remainder when 1088401 is divided by 6760?
41
Calculate the remainder when 161481 is divided by 417.
102
What is the remainder when 10222019 is divided by 927?
917
Calculate the remainder when 25306 is divided by 2523.
76
What is the remainder when 27430926 is divided by 1531?
1530
Calculate the remainder when 5867401 is divided by 1955767.
100
What is the remainder when 570138 is divided by 113668?
1798
What is the remainder when 29459496 is divided by 147?
108
What is the remainder when 12589695 is divided by 4196545?
60
Calculate the remainder when 266388 is divided by 19026.
24
What is the remainder when 30016 is divided by 7836?
6508
What is the remainder when 61323758 is divided by 85?
83
Calculate the remainder when 121050146 is divided by 690.
686
Calculate the remainder when 107961 is divided by 312.
9
What is the remainder when 8360448 is divided by 2677?
177
What is the remainder when 124016 is divided by 1051?
1049
Calculate the remainder when 4368 is divided by 270.
48
What is the remainder when 1524140 is divided by 35?
30
What is the remainder when 2529906 is divided by 316236?
18
Calculate the remainder when 45621904 is divided by 11405473.
12
Calculate the remainder when 4981621 is divided by 8817.
16
Calculate the remainder when 289280 is divided by 95642.
2354
What is the remainder when 1469304 is divided by 128?
120
Calculate the remainder when 1471021 is divided by 294021.
916
Calculate the remainder when 175272943 is divided by 2195.
2193
What is the remainder when 228702 is divided by 3323?
2738
Calculate the remainder when 16163 is divided by 1028.
743
Calculate the remainder when 82924819 is divided by 220.
219
What is the remainder when 7356309 is divided by 420?
9
Calculate the remainder when 564499 is divided by 115.
79
What is the remainder when 1928142 is divided by 752?
14
Calculate the remainder when 1357687 is divided by 3.
1
Calculate the remainder when 1143508800 is divided by 58.
56
Calculate the remainder when 6587091 is divided by 345.
6
What is the remainder when 30596 is divided by 10184?
44
Calculate the remainder when 917407 is divided by 5.
2
Calculate the remainder when 1012570 is divided by 586.
548
What is the remainder when 17190748 is divided by 5653?
5628
Calculate the remainder when 371658 is divided by 615.
198
Calculate the remainder when 488366 is divided by 6127.
4333
Calculate the remainder when 136229 is divided by 12378.
71
What is the remainder when 102470539 is divided by 12917?
12895
Calculate the remainder when 2791401 is divided by 1596.
1593
Calculate the remainder when 46131965 is divided by 2391.
11
Calculate the remainder when 7214030 is divided by 5667.
5606
Calculate the remainder when 15688696 is divided by 3922171.
12
What is the remainder when 314986037 is divided by 155?
152
Calculate the remainder when 6143663 is divided by 1534.
1527
What is the remainder when 1872988 is divided by 200?
188
What is the remainder when 78215184 is divided by 7?
5
Calculate the remainder when 64285 is divided by 1214.
1157
What is the remainder when 19326738 is divided by 492?
486
What is the remainder when 4738535 is divided by 792?
791
Calculate the remainder when 12389218 is divided by 53.
44
Calculate the remainder when 520302 is divided by 30606.
0
Calculate the remainder when 7253482 is divided by 307.
300
What is the remainder when 23237270 is divided by 82990?
70
What is the remainder when 40188 is divided by 5582?
1114
What is the remainder when 256063 is divided by 19598?
1289
What is the remainder when 75354 is divided by 25106?
36
Calculate the remainder when 127236 is divided by 318.
36
What is the remainder when 140374 is divided by 15583?
127
What is the remainder when 68521 is divided by 808?
649
What is the remainder when 12646 is divided by 4792?
3062
Calculate the remainder when 12198033 is divided by 31277.
3
What is the remainder when 35635354 is divided by 276243?
7
What is the remainder when 440715422 is divided by 25?
22
What is the remainder when 8288082 is divided by 39655?
187
Calculate the remainder when 23249 is divided by 332.
9
Calculate the remainder when 3447555 is divided by 137902.
5
Calculate the remainder when 450929 is divided by 23723.
192
What is the remainder when 55604 is divided by 287?
213
What is the remainder when 32479 is divided by 32206?
273
What is the remainder when 44378 is divided by 805?
103
Calculate the remainder when 396267 is divided by 605.
597
What is the remainder when 33718943 is divided by 150?
143
What is the remainder when 9882814 is divided by 352955?
74
Calculate the remainder when 205091 is divided by 6419.
6102
What is the remainder when 15632608 is divided by 1302717?
4
Calculate the remainder when 3024731 is divided by 85.
6
Calculate the remainder when 18829634 is divided by 2689947.
5
What is the remainder when 3369622 is divided by 76582?
14
What is the remainder when 51576 is divided by 1792?
1400
Calculate the remainder when 14542903 is divided by 3.
1
Calculate the remainder when 99004 is divided by 5139.
1363
What is the remainder when 990575 is divided by 216?
215
Calculate the remainder when 10567619 is divided by 21970.
49
Calculate the remainder when 31408724 is divided by 31408720.
4
What is the remainder when 494628 is divided by 5682?
294
Calculate the remainder when 1346934 is divided by 46.
8
What is the remainder when 315624 is divided by 931?
15
What is the remainder when 2169292 is divided by 57?
43
What is the remainder when 272876 is divided by 62?
14
What is the remainder when 21403233 is divided by 4267?
4228
Calculate the remainder when 302750 is divided by 4519.
4496
What is the remainder when 1553226 is divided by 13505?
151
Calculate the remainder when 597490 is divided by 177.
115
Calculate the remainder when 1846203 is divided by 230732.
347
Calculate the remainder when 7101 is divided by 972.
297
What is the remainder when 139726 is divided by 324?
82
What is the remainder when 13237622 is divided by 5?
2
Calculate the remainder when 1647492 is divided by 254.
48
Calculate the remainder when 173219 is divided by 21472.
1443
Calculate the remainder when 11513 is d | {
"pile_set_name": "DM Mathematics"
} |
*2 - 3 + 6 - 2 + l**3 to t + c*l + g*l**2 + k*l**3 and give k.
1
Express -r + 51*r**2 + 16*r - 48*r**2 in the form m + u*r + d*r**2 and give u.
15
Express (-2*z - 3*z + 4*z)*(0*z + 2*z - 4*z) - 7*z**2 - 51*z**2 - 4*z**2 + 4 - 2 + 3*z**2 + 0 in the form c + w*z + j*z**2 and give c.
2
Rearrange 22*x**3 - 829*x + x**2 + 2 + 829*x to t*x**3 + q*x**2 + k*x + b and give q.
1
Rearrange 7 - d - 5 + 9*d**3 + 0 to the form r*d**3 + z + b*d**2 + g*d and give r.
9
Rearrange (2*b + 19 - b - 6)*(2*b + 0*b - 3*b) to the form j*b + z + q*b**2 and give j.
-13
Express (3 - 3 + t)*(3 - 3 - 2) + 0*t + t + 0*t + 0 + 0 + 2*t - 23 + 5*t + 23 as o*t + z and give o.
6
Rearrange (0*a + 0*a + a)*(-94*a + 46*a + 44*a) to p + w*a + s*a**2 and give s.
-4
Express -4 + 6*u**3 + 2 + 3*u**4 - u - 5*u**3 in the form k*u**4 + g*u**2 + b + m*u + v*u**3 and give m.
-1
Rearrange (-9*a + a + 3*a)*(2*a - 4*a + a)*(5 - 4 + 0) to the form y*a**2 + k + o*a and give y.
5
Rearrange 6 - 11*a**3 + a**3 + 8*a**3 - 5 + 22*a to the form b*a**2 + s + o*a + y*a**3 and give b.
0
Rearrange (-3 + 0 + 5)*(230 - 13*p**3 - 230) to the form q*p + w + x*p**2 + l*p**3 and give l.
-26
Express 7*s + 5 - 3 - 2 in the form c + t*s and give t.
7
Express 21*t**2 + 2*t - 13 - 40*t**2 - 14 + 21*t**2 as w*t**2 + a + u*t and give a.
-27
Express (w - 2 + 2)*(4*w**3 + w**3 - 4*w**3)*(132 - 62 + 9) as i*w**3 + s*w + n*w**2 + r + a*w**4 and give a.
79
Express -8*d**3 + 2 + 31*d**3 - 28*d - 13*d**3 - 12*d**3 as c*d**2 + z*d + b*d**3 + p and give z.
-28
Express (-1 + 6 + 3)*((-3*l + 3*l - 2*l)*(-3 + 4 + 0) + l + 0*l + 3*l) as x + s*l and give s.
16
Rearrange (-z + 3*z**3 + z)*(-1 + 2 - 3)*(58 - 7*z - 58) to l*z**2 + c*z**4 + o*z + s*z**3 + f and give c.
42
Express (2*w**3 + 0 + 0)*(1 + w - 1) - 3*w + 3*w + 3*w**4 - 2*w**4 + 8 - 1 - w**3 + w**4 as f*w**4 + d*w + l + j*w**2 + b*w**3 and give f.
4
Express (-3*o - 2*o + 3*o + (3*o + o - 3*o)*(-20 - 8 - 1))*(o - o**3 - o) in the form x*o**4 + d*o**3 + z*o**2 + g*o + r and give x.
31
Rearrange 3*f + 0*f - 15 - 14*f**2 + 10*f**2 - 4*f to the form g + h*f + q*f**2 and give h.
-1
Express (-2*k**3 - 3*k**3 + 2 + 17*k**3)*(k - 5*k + 0*k) as c*k + h*k**4 + j*k**2 + u + n*k**3 and give h.
-48
Rearrange -15*y - 16*y**2 - 19*y**2 + 59*y**2 - 23*y**2 to x + w*y + g*y**2 and give g.
1
Express -7*x + 0*x + 7*x + 38*x**2 as c*x + r*x**2 + d and give r.
38
Express -8 + 5 + 3 + 33*q in the form s + a*q and give a.
33
Express (2*s + 0*s + 0*s)*(5 + 2 - 4) + 0 + 0 - 5*s as t + b*s and give b.
1
Express 9*x + 2*x - 11*x + x**2 - x - 2 as s*x + g*x**2 + j and give j.
-2
Rearrange -10*x**4 + 2 + 0*x**4 + x + 3*x**4 to b + w*x + d*x**2 + k*x**3 + o*x**4 and give o.
-7
Rearrange 2*z**2 - 111*z**4 - 3 - 109*z**4 + 1 + z + 213*z**4 to the form h + i*z**2 + p*z**4 + v*z + n*z**3 and give i.
2
Express (-4*u**2 + 11*u**2 - 4*u**2 + (-3*u + 2*u + 2*u)*(u - 2*u - u))*(u - u - u**2 - 1) in the form j*u**4 + q*u**3 + k*u**2 + z*u + b and give k.
-1
Express 2*x**3 - x**3 + x**3 + (0 + 2*x + 0)*(3*x**2 + x**2 - x**2) + (-x - 3*x + x)*(0*x**2 + 3*x**2 - 4*x**2) as u + i*x + z*x**2 + l*x**3 and give l.
11
Express (6 - 4 + 2)*(-4*i + 4*i + 2*i + (-2 + 5 - 5)*(-i - 4 + 4)) + 2*i - 3*i - i as b + t*i and give t.
14
Express (-f + 2*f + 16*f)*(-f + 5*f - 3*f) in the form a*f + g + y*f**2 and give y.
17
Express (2*s - 4*s - 2 + 3)*(3*s - s - 3*s)*(s - 8*s + 0*s) in the form w + u*s**3 + q*s**2 + x*s and give q.
7
Rearrange 0*a**4 - 8*a**3 + 2*a**2 - a**2 - 2*a + 2 + 9*a**3 + 2*a**4 to m + n*a**3 + p*a**4 + q*a + t*a**2 and give p.
2
Express 3*n**3 + 2*n**2 + 7*n**3 - 3*n**3 - 4*n**3 - 1 + n as j*n + s*n**3 + r + i*n**2 and give j.
1
Express 1 + 6*l**3 - 3*l**3 + l + 14*l**3 + l**3 in the form g + o*l + f*l**3 + n*l**2 and give f.
18
Express 2*m - 2*m - 3*m**2 + (-8*m - 8*m + 12*m)*(0*m + 2*m + 0*m) in the form a*m**2 + y*m + n and give a.
-11
Rearrange -39 - j + j**3 + 37 + 2*j**3 to g*j**2 + p*j + k + o*j**3 and give o.
3
Rearrange 2 + 3*z**4 + 2*z - 3*z**4 + z**4 + 0*z**4 to u*z**4 + v*z**2 + b*z**3 + w*z + s and give w.
2
Rearrange -4*i**4 + i**4 + 2*i**4 + (i**2 - 3*i**2 + 0*i**2)*(-12*i**2 - 11*i + 11*i) to the form r*i**2 + m + h*i + z*i**3 + d*i**4 and give m.
0
Rearrange -62*i**2 - 13*i**2 - 16*i**2 - 1 + 2*i to the form d*i**2 + s + j*i and give s.
-1
Rearrange (-4 + 2 - 6)*(2 - 20*m + 2*m + 0*m) to the form p*m + y and give p.
144
Express 3*s + 4 - 4 + (2 + 4 - 4)*(-2*s + 3*s - 2*s) + 3*s - 2 + 2 as i*s + k and give i.
4
Express -2 + 26*f + 3 - 26*f - 2*f**2 in the form o*f + k + j*f**2 and give j.
-2
Rearrange -m - 5*m**2 + 2 + 4*m**4 + 4*m**2 - m**4 to h*m**4 + n + w*m + f*m**3 + y*m**2 and give h.
3
Express -44*z**2 + 44*z**2 - 3*z**3 - 7*z in the form l*z + y + d*z**2 + f*z**3 and give l.
-7
Express 106 - 3*d**2 - d + 2*d**2 - 106 as y*d**2 + r + j*d and give y.
-1
Rearrange 0*a**3 + 0*a**3 + a**3 + (-5*a + 7*a - 11*a)*(-5*a**2 + 4*a**2 - a**2) to the form t + b*a**3 + x*a**2 + d*a and give b.
19
Rearrange (0 + 2 - 1)*(2*k + k - 2*k + (4 - 2 - 1)*(0*k + 3*k - k) - 3*k - 3*k + 0*k) to the form x + w*k and give x.
0
Rearrange -4*a + 9*a**2 - 8*a**2 + 8*a**3 - a to the form t + g*a + m*a**2 + u*a**3 and give m.
1
Rearrange 2 - 20*l + l**2 + 18*l**4 + 46*l - 27*l to the form o*l**4 + j*l**2 + g*l + f + i*l**3 and give o.
18
Express (2*c - 2*c - c**2)*(-3*c - 2*c + 0*c)*(0 + 1 + 9) in the form t + x*c**3 + q*c + y*c**2 and give x.
50
Rearrange 29*h + 4 - 27*h - 1 - 14*h**2 to the form z*h + u*h**2 + q and give u.
-14
Express 3*i + 74*i - 8*i + 18*i as a*i + p and give a.
87
Express (1 + 2*p - 1)*(3 + 2 - 6) + 4*p - 4*p - 2 + p in the form k*p + x and give k.
-1
Express 2*x**2 - x**2 + 45*x**3 - 5*x**2 + 2*x**2 as m*x**2 + a + u*x + h*x**3 and give h.
45
Rearrange 45*f + 31*f - 18*f to a*f + i and give a.
58
Rearrange 3*d + 4*d - 7*d - 1 + 4*d**2 to y*d + x*d**2 + p and give p.
-1
Rearrange 171 - 171 - 29*u**2 to the form y*u**2 + l + h*u and give h.
0
Express (3*g + 15 - 15)*(-g**2 - g**2 + 4*g**2) in the form h*g**2 + k + u*g + x*g**3 and give k.
0
Express -77*n - 22*n - 21*n - 3*n as k*n + l and give l.
0
Rearrange (2*j + 4*j - 2*j + (4 - 3 + 0)*(-2 + 2 - 2*j))*(9 - 2 + 3) to v*j + o and give v.
20
Express (-2*j**2 - 3*j**2 + 2*j**2)*(102*j - 3*j + 59*j) as i*j**3 + h + k*j + o*j**2 and give i.
-474
Rearrange -4*k**3 + 3*k**4 + 4*k**3 + (-2*k**3 + 0*k**3 + 0*k**3)*(1 + k - 1) - 2*k**4 + 2*k**4 + 2*k**4 to v*k**3 + p*k**2 + j*k + l*k**4 + q and give l.
3
Express (-2 + t + 1 - 2*t)*(-66*t + 80*t + 61*t) as d + v*t**2 + h*t and give h.
-75
Express (-2 + 34*k + 7*k + k)*(-2*k**2 + 2*k**2 + 2*k**2) in the form s + l*k**2 + v*k**3 + j*k and give v.
84
Rearrange (2 - 2 - 1)*(-27*b**2 - 61*b**2 + 23*b**2 - 17*b**2) to the form l*b + p*b**2 + h and give p.
82
Express -q + 29 + 0*q - q + q as h*q + k and give k.
29
Rearrange (-5*i + 5*i**2 + 5*i)*(31*i - 31*i - 4*i**2) to the form p*i + z*i**3 + x*i**4 + f*i**2 + o and give x.
-20
Express 48*k**2 + 67*k**2 + 6 - 4 + 3*k**2 as s*k**2 + p + u*k and give p.
2
Express 10*k - k**2 - 10*k + 53*k**2 in the form n*k + v + w*k**2 and give w.
52
Express 239 + b**3 + 0*b**2 - 247 + 2*b**2 as d*b**2 + l*b + t + o*b**3 and give d.
2
Express -15*w**2 + 15*w**2 - 2*w**3 + 7 + 4*w**3 in the form i + r*w + o*w**3 + g*w**2 and give i.
7
Rearrange (-2*q**2 + 0*q + 0*q)*(17 - 18 + 16) + (1 - 1 - q)*(-q - 3*q + 3*q) to y + g*q + s*q**2 and give s.
-29
Rearrange ((-y - 4 + 4)*(-2 - 2*y + 2) + 127 - 62*y**2 - 127)*(2*y**2 - 4*y**2 + 0*y**2) to the form n + h*y**2 + c*y**4 + k*y**3 + t*y and give c.
120
Express -52*o - 6*o**2 + 50*o + 3*o**2 as y + z*o + g*o**2 and give z.
-2
Express (0 + 0 - 2*t)*((-t + 2*t - 2*t)*(6 - 4 - 3) + (-4*t + 2*t + 5*t)*(-3 + 3 + 2)) in the form d*t**2 + i*t + u and give i.
0
Express (-5*r**4 + r**4 + 5*r**4)*(-4 + 3 + 7 + (-2 + 0 + 1)*(-3 - 1 + 3)) as o*r**2 + w*r**3 + g*r**4 + z + q*r and give g.
7
Express -4 + 10*w + 1 + 2 - 8*w**3 - 8*w in the form m + v*w**3 + u*w + s*w**2 and give u.
2
Rearrange (-7*k + 4*k + 2*k)*(2 - 3 - 3 + (-3 + 3 - 1)*(2 - 2 - 2) - 2 - 1 + 2) to h + m*k and give m.
3
Rearrange 4 - 4 + 3*n + 8*n to the form c*n + o and give c.
11
Express 29 + 3*r**2 - 10 - 10 - 5 as c*r + i + m*r**2 and give m.
3
Rearrange -133*q**3 + 3*q**4 + 12 | {
"pile_set_name": "DM Mathematics"
} |
1 (e) 1/32 (f) -0.2
d
Which is the third smallest value? (a) -2.13 (b) 2/27 (c) 0.5 (d) -3
b
Which is the biggest value? (a) 463 (b) -3 (c) 2/3
a
Which is the third smallest value? (a) -1/2 (b) 0.4 (c) -0.09 (d) 2 (e) -0.42
c
What is the third biggest value in -4, 2/5, -11, -7, -0.5, -2/5?
-0.5
Which is the smallest value? (a) -2.1 (b) -2 (c) 4/55 (d) 3
a
What is the biggest value in 0.7, 1/6, 4, 0?
4
Which is the biggest value? (a) 4 (b) -2701 (c) -5
a
Which is the third biggest value? (a) 0.3 (b) -1313 (c) -37 (d) -1/8
c
Which is the biggest value? (a) -1 (b) -2 (c) 2/29 (d) -71 (e) -3/8 (f) -0.4
c
What is the fourth smallest value in -0.4, 0.5, 0.4, 555, 44?
44
What is the smallest value in 2/95, -0.027, 6/5?
-0.027
What is the second smallest value in 187, 5, 2?
5
Which is the third biggest value? (a) 5 (b) -2 (c) -5 (d) 106 (e) 1
e
Which is the third smallest value? (a) -4 (b) 0.19 (c) 0.02 (d) -5/4 (e) -3 (f) -2
f
Which is the biggest value? (a) -43 (b) 5 (c) -3/16
b
What is the third smallest value in -347, -2, 93/2?
93/2
Which is the fifth biggest value? (a) -2/19 (b) 14/197 (c) -14/9 (d) 5 (e) 0.3
c
Which is the fourth biggest value? (a) 19/3 (b) -2/21 (c) 1 (d) 1/8 (e) -25 (f) -2
b
Which is the fourth biggest value? (a) 0.3 (b) 101 (c) -0.5 (d) -813/2
d
Which is the fifth biggest value? (a) -92 (b) 5 (c) 2/115 (d) -62 (e) -0.1
a
Which is the fourth biggest value? (a) -2 (b) 0.6 (c) 6 (d) 5 (e) 0.197 (f) -0.07
e
What is the third smallest value in 2/63, 0.1, 6, 4, -18/23, -0.5?
2/63
Which is the second smallest value? (a) -3/8 (b) 2 (c) 0 (d) -5 (e) -0.9
e
Which is the fifth smallest value? (a) 0.3 (b) 2/31 (c) 3.19 (d) -3 (e) -0.4
c
What is the third biggest value in -5, 3/7, 10499, -0.14?
-0.14
What is the third smallest value in 2/17, -5, 2/21, 3, -1/112, -0.0025?
-0.0025
What is the fourth smallest value in 9579, -4, -5, 4?
9579
Which is the third smallest value? (a) 85 (b) -4 (c) 2 (d) 94 (e) -3
c
Which is the second biggest value? (a) 7069 (b) 2 (c) -2
b
What is the second biggest value in 0.4, 2, 11.545, -3?
2
What is the biggest value in 5, -12519, -3?
5
Which is the fourth biggest value? (a) -0.05 (b) -8 (c) -1 (d) 3 (e) 1/5 (f) -14/11
c
Which is the fifth smallest value? (a) -0.3 (b) -1/4 (c) 3 (d) -1 (e) 4 (f) 1/4
c
What is the third smallest value in -414, -0.22, -0.6, -3?
-0.6
What is the biggest value in 4/7, 2, 1/72, -4, 1/5?
2
Which is the third biggest value? (a) -2/13 (b) 3.6 (c) 4 (d) 36
b
Which is the third biggest value? (a) -2/3 (b) -0.1 (c) 5 (d) -2005
a
What is the smallest value in -0.3, 19/5, -182?
-182
Which is the fourth smallest value? (a) 0.4 (b) -1/30 (c) 4 (d) -56 (e) -0.3
a
Which is the fifth smallest value? (a) 15/14 (b) -5 (c) -0.2 (d) 0.1 (e) -4 (f) 0
d
What is the second biggest value in -1695, -2, 1/19?
-2
Which is the fourth smallest value? (a) 101 (b) 6 (c) 2/7 (d) -0.4
a
Which is the second smallest value? (a) -3 (b) 1.2 (c) 31 (d) 0.156
d
What is the second biggest value in -0.04, -39/8, 0.09?
-0.04
What is the second smallest value in -1.18, 22/9, 2/5?
2/5
What is the second smallest value in -0.4, -17003, 1/4, -6, 0.1, 3?
-6
Which is the fourth smallest value? (a) -2.34 (b) -9 (c) 3 (d) -14
c
What is the biggest value in -2, -3, 3, 4, 16, -0.2?
16
What is the fifth smallest value in -1, -0.2, -4, 12/313, 4?
4
What is the second smallest value in -3647, 5, -5?
-5
Which is the second biggest value? (a) 2 (b) 62 (c) -0.1 (d) -3 (e) 5
e
Which is the second smallest value? (a) 1/6 (b) -15 (c) -880 (d) 2 (e) -0.02
b
What is the third biggest value in -0.1, 2, 4, 0.2, 50, -0.0495?
2
Which is the third smallest value? (a) 0.2 (b) -0.6 (c) 0 (d) 2 (e) 21
a
Which is the third smallest value? (a) -4 (b) -0.4 (c) 56 (d) -792 (e) 5
b
What is the smallest value in -0.13, 3/259, -5?
-5
What is the second smallest value in 0, -11, 10.5, 1, -0.2?
-0.2
What is the third biggest value in 271, 0.5, -3, 0.1?
0.1
What is the fourth biggest value in 4, -3, -1/8, -1, -23?
-3
What is the third biggest value in -3309/5, 10, 1/8?
-3309/5
Which is the smallest value? (a) -2/3 (b) 3 (c) 2/9 (d) 320 (e) 13
a
What is the second smallest value in -3, 9, -1/10, -2/2677?
-1/10
What is the biggest value in -7, 207.6, -0.2?
207.6
What is the biggest value in 3, -0.2, 4/159, -5, 37?
37
Which is the third smallest value? (a) -4 (b) 96 (c) 0.17
b
What is the third biggest value in -18, 170, -0.03?
-18
Which is the biggest value? (a) -0.417 (b) -31/4 (c) -6
a
What is the fourth smallest value in -7/5, 2.312, 2, 1?
2.312
What is the fourth smallest value in 0.03, -3/4, -5, 4, -2.054?
0.03
Which is the second biggest value? (a) -3 (b) -2679 (c) 0.2 (d) -0.039 (e) 6/5
c
Which is the second biggest value? (a) 1/316 (b) 34 (c) -0.3 (d) 0.3
d
Which is the second smallest value? (a) 5 (b) -54/95 (c) 0
c
Which is the third biggest value? (a) 21.657 (b) 2/9 (c) -2/7
c
Which is the smallest value? (a) 0 (b) -4 (c) 95
b
What is the second smallest value in 3/7, 0.03, -759?
0.03
Which is the fifth smallest value? (a) 61 (b) 1.6 (c) -0.2 (d) -3/8 (e) 20
a
Which is the second smallest value? (a) 1/5 (b) 1 (c) -2/9 (d) 1462
a
What is the third biggest value in 5, -1/437, 1?
-1/437
Which is the smallest value? (a) 0.1 (b) -5 (c) 23 (d) 1/7 (e) 4 (f) 2
b
Which is the smallest value? (a) 0.17 (b) 14.757 (c) 0.8
a
What is the second smallest value in 0.2, 2, -49, -0.4, -0.5?
-0.5
Which is the fourth biggest value? (a) -1/4 (b) -2/13 (c) -0.5 (d) 0.5 (e) 7 (f) -2/5
a
What is the second smallest value in -3/10, -1/3, -1/4, -72/25, 1/4?
-1/3
Which is the smallest value? (a) -0.5 (b) 3 (c) -3/23 (d) 34 (e) -0.2 (f) -3
f
Which is the fourth biggest value? (a) 3 (b) -3/2 (c) 2/191 (d) -5 (e) 4 (f) -1/4
f
What is the biggest value in -2/13, 2/3, 15.7, -10, 14?
15.7
Which is the third biggest value? (a) 2/5 (b) -1/3211 (c) -35
c
Which is the third smallest value? (a) -4/45 (b) 4 (c) -1.6 (d) -1/2
a
Which is the third smallest value? (a) 55 (b) 1 (c) 2 (d) -0.1 (e) 4 (f) -19
b
Which is the sixth biggest value? (a) -0.04 (b) -0.1 (c) -0.5 (d) -1 (e) -0.3 (f) 95
d
What is the smallest value in 3, -936, 5, 4?
-936
Which is the third biggest value? (a) 4.7 (b) 0.05 (c) 58 (d) -0.2 (e) 3
e
Which is the second biggest value? (a) -3 (b) -12 (c) -3/2 (d) 41 (e) 5 (f) -5
e
Which is the fifth smallest value? (a) -3 (b) 3/4 (c) -100/9 (d) 5 (e) 2 (f) 12
d
What is the second smallest value in -2/7, 4, 19, 69, 2, -3?
-2/7
Which is the third biggest value? (a) -213 (b) -0.4 (c) 555/4
a
What is the fifth biggest value in -4, 41/2, -78, 5, 0?
-78
Which is the smallest value? (a) 0.17 (b) 0.4 (c) 48
a
Which is the fourth biggest value? (a) -3.16 (b) -4 (c) -0.1 (d) 0.5 (e) 2/43
a
What is the third smallest value in -1, -5058, 1, -2, 2/11?
-1
What is the smallest value in -4, 1, -748, -1/4?
-748
Which is the smallest value? (a) 14/6723 (b) 2 (c) -2
c
What is the fourth smallest value in -1, -2/3, -5, 284.89, 1/5?
1/5
What is the smallest value in -1.08, 0, -140?
-140
Which is the second smallest value? (a) -0.7 (b) 6/7 (c) -1 (d) -20 (e) 0.1
c
What is the smallest value in 11.3121, -1/18, -3?
-3
What is the second biggest value in -5, -6, 5, -0.06?
-0.06
Which is the biggest value? (a) -4 (b) -2 (c) 3 (d) 0.41 (e) 24 (f) -13
e
Which is the fourth biggest value? (a) 2/15 (b) 3/5 (c) 0.4 (d) -12396 (e) 0
e
Which is the biggest value? (a) 5 (b) 4.821 (c) 16
c
Which is the biggest value? (a) -1/3 (b) 1152 (c) 0.5 (d) 0.23
b
What is the third biggest value in 5430/221, 0.06, -0.2?
-0.2
What is the biggest value in 54/11, 3, 1/48, -0.4, -5?
54/11
What is the biggest value in -8, -1/3, 5, 2, 3, 4/19?
5
Which is the fourth smallest value? (a) -20 (b) 3 (c) -3 (d) 0.0295
b
Which is the fourth biggest value? (a) -2 (b) -0.4 (c) -29/5 (d) 1 (e) -243
c
What is the smallest value in 20, -44/15, 2/3?
-44/15
What is the third biggest value in -64/5, 0.6, -11.71?
-64/5
What is the fourth small | {
"pile_set_name": "DM Mathematics"
} |
plify l/l**12*l**(2/7) assuming l is positive.
l**(-75/7)
Simplify (h/h**(-2/5)*h*h**(-2))/(h/h**(4/7)*h**(-1/2)) assuming h is positive.
h**(33/70)
Simplify (j**(-4/5))**39 assuming j is positive.
j**(-156/5)
Simplify p**24*p**(3/22) assuming p is positive.
p**(531/22)
Simplify (j*j**(-41))**35 assuming j is positive.
j**(-1400)
Simplify (m**(-1/4))**(1/8)*m**(1/7)*m*(m/m**(-3)*m)/m*m assuming m is positive.
m**(1369/224)
Simplify ((((o/(o/o**(-2)))/o)/o)/o)**(-20) assuming o is positive.
o**100
Simplify ((k*k**(4/5)*k)/k*(k/(k/(k**(-8)*k)))/k)**(-2/69) assuming k is positive.
k**(62/345)
Simplify (y*y**(-23))**(-8) assuming y is positive.
y**176
Simplify (a*a/a**(-4))**(-1/4) assuming a is positive.
a**(-3/2)
Simplify ((t*t/(t*t**(1/10))*t)/t)**(27/7) assuming t is positive.
t**(243/70)
Simplify d*d**(-2/3)*d*(d**0/d*d)/d assuming d is positive.
d**(1/3)
Simplify (((j/(j**(5/6)/j))/j)/j**(-2/7))/(j/(j*j*(j/((j/j**(-2))/j)*j)/j))**7 assuming j is positive.
j**(19/42)
Simplify (j**1/(j/(j/(j*j**(-5)*j))*j))**(3/7) assuming j is positive.
j**(9/7)
Simplify l/(l*l/(l/(l/((l*l*l**22*l)/l*l)))*l*l)*l*l*l**(-29)*l assuming l is positive.
l**(-4)
Simplify (v/(v*v**(-1/3)/v))**(-17)*v**4/(v*v**(-3)*v) assuming v is positive.
v**(-53/3)
Simplify p*p**(1/12)*p*p*p**(1/9) assuming p is positive.
p**(115/36)
Simplify g*g**(-1/2)*g*g*g/(g**9/g)*g*(g/(g*(g*g*g*g*(g*(((g**(-5)/g)/g)/g*g)/g*g*g)/g*g*g*g*g)/g))/(g*g**(-2/7)) assuming g is positive.
g**(-73/14)
Simplify (k**0)**(-2/21)/(k*k*k**(-1/5)/k*k*k**(2/5)) assuming k is positive.
k**(-11/5)
Simplify ((f/f**(2/9))/f**(-8))/(f*f/(f**(-1)*f*f*f*f))**13 assuming f is positive.
f**(196/9)
Simplify (k**(11/4)/(k*k**10*k))**33 assuming k is positive.
k**(-1221/4)
Simplify ((i*i**1/i)/i)**1/(i**(-2/9))**(-33) assuming i is positive.
i**(-22/3)
Simplify ((b*b**(1/5))/(b*b*((b/b**(2/5))/b)/b))**3 assuming b is positive.
b**(9/5)
Simplify (g*g**(2/49)*g)/g*g/(g/(g/g**(-1/12))) assuming g is positive.
g**(1249/588)
Simplify u**(-27)*u/(u*u**(1/59)) assuming u is positive.
u**(-1594/59)
Simplify ((y**(2/3))**(-2))**(-3/7) assuming y is positive.
y**(4/7)
Simplify ((v*v*(v*v*v**3*v)/v)**(-39))**19 assuming v is positive.
v**(-5187)
Simplify (t**6)**(3/8) assuming t is positive.
t**(9/4)
Simplify (o*o/o**(2/3))/o**2*(o**0)**(-10/3) assuming o is positive.
o**(-2/3)
Simplify p**(1/15)*p**(-6/5) assuming p is positive.
p**(-17/15)
Simplify (h**(1/5)/h**(5/6))**45 assuming h is positive.
h**(-57/2)
Simplify w**2*w**(4/13) assuming w is positive.
w**(30/13)
Simplify (r/(r/(r*r/(r*r**(3/5)))))/(r/r**(3/11)) assuming r is positive.
r**(-18/55)
Simplify (w/(w/(w/((w/w**(-21))/w))*w))/w**(-23/3) assuming w is positive.
w**(-40/3)
Simplify ((w**(1/2)*w)/w)**(9/13)*w**(3/4)/w*w**(-1) assuming w is positive.
w**(-47/52)
Simplify (b**0)**(-4/19)*b/b**(-2/5)*b*(b/b**7)/b*b assuming b is positive.
b**(-18/5)
Simplify (l**(1/6)*l**3/l)**(8/13) assuming l is positive.
l**(4/3)
Simplify w**13*w/(w**(1/2)*w) assuming w is positive.
w**(25/2)
Simplify (y**7*(y*y**5)/y)**(4/29) assuming y is positive.
y**(48/29)
Simplify (m/((m/(m/(m/(m*m/(m/m**9))*m)))/m))/(m/((m/(m*m/((m/(m*(m**(-10/3)/m*m)/m))/m)))/m*m)) assuming m is positive.
m**(34/3)
Simplify m**(-2/27)*m*m*m**(-11) assuming m is positive.
m**(-245/27)
Simplify (((k/k**(2/23))/k)/(k/(k/((k*k*k/(k/(k/k**1))*k*k)/k))))**(-1/5) assuming k is positive.
k**(71/115)
Simplify (o**2*o/(o/(o/o**(-1/7))))**(-5/2) assuming o is positive.
o**(-55/7)
Simplify (d**(1/4)*d)**46 assuming d is positive.
d**(115/2)
Simplify r/(r*r**25)*r**(-35) assuming r is positive.
r**(-60)
Simplify (g**(-6)*g**7)/(g**(1/7)/g**(-3)) assuming g is positive.
g**(-15/7)
Simplify (n**(-6))**(-21) assuming n is positive.
n**126
Simplify (l*l**(1/4)*l**(2/23))/((l*l**(-3))/l**(-6/7)) assuming l is positive.
l**(1597/644)
Simplify (((q**(2/5)/q*q*q*q)/q)/q)**(-11)*q**(-2/7)*q*q**4 assuming q is positive.
q**(11/35)
Simplify (i*i**(-5))/((i*i/((i**(-7)*i)/i))/i*i)*(i**(-1)/i)/(i*i**(-3)) assuming i is positive.
i**(-13)
Simplify (w/(w/w**6)*w*w*w*w*w**(6/13)*w)/(w/w**(-2))**(-11) assuming w is positive.
w**(578/13)
Simplify s**(-1/6)*s**(-7/3) assuming s is positive.
s**(-5/2)
Simplify (k/((k/(k*k**(-20)))/k))/k*(k**(-3/5)*k)/k assuming k is positive.
k**(-98/5)
Simplify ((i*(i**(-1/6)/i)/i)/(i**6*i*i))/(i*i**(2/5)*i*i/(i**(1/3)/i)) assuming i is positive.
i**(-397/30)
Simplify (i**(-4))**(-44/7) assuming i is positive.
i**(176/7)
Simplify (p**(8/7)/(p*p/(p*((p*p*p**(1/5)*p)/p*p*p)/p)))**(14/15) assuming p is positive.
p**(78/25)
Simplify (a**(-2/31))**12 assuming a is positive.
a**(-24/31)
Simplify ((g*g/(g*g**15))/g)/g*g**(-17)/g*g assuming g is positive.
g**(-33)
Simplify (p*p*p**(-1/4)/p*p)**1*p**(1/3)/((p**(-2/9)*p)/p) assuming p is positive.
p**(83/36)
Simplify (k**(-3)*k**(2/9))/(k*k**(2/7)*k)**(-4/11) assuming k is positive.
k**(-1349/693)
Simplify (m/m**2)/(m*m*m/(m/m**(-2/25))*m)*(m*m/((m*m**(-5/2)*m)/m))/m*m*m/(m*m**(3/11))*m assuming m is positive.
m**(169/550)
Simplify (b**2/((b/b**(-1/5))/b))**10 assuming b is positive.
b**18
Simplify n**(-3/14)/n**10 assuming n is positive.
n**(-143/14)
Simplify (b**(2/43)/(b*b*b**(-1/13)))**(1/4) assuming b is positive.
b**(-1049/2236)
Simplify ((g*g**(-1/2))**47)**24 assuming g is positive.
g**564
Simplify (j**(2/17)*(j/(j**(-5)*j))/j)/(j**2/j)**32 assuming j is positive.
j**(-474/17)
Simplify (m**(1/10)/m**(-2/15))/((m/m**5)/m*m**1) assuming m is positive.
m**(127/30)
Simplify ((k/(k**(-2)/k*k))/(k*k/(k*k/k**(-2)*k)))**(-28) assuming k is positive.
k**(-168)
Simplify s**(-3)*s**(-8) assuming s is positive.
s**(-11)
Simplify (h*h**(-2/5))**24/(h**(2/23)*h/((h/((h*h**(2/5)/h)/h))/h)) assuming h is positive.
h**(320/23)
Simplify (q*(q/q**(-2/61)*q)/q)/(q/((q/(q/q**6))/q)) assuming q is positive.
q**(368/61)
Simplify (o*(o/(o/(((o/(o*o**(-2/19))*o*o)/o)/o)))/o*o)/((o**0/o)/o)*(o**1)**(-37) assuming o is positive.
o**(-644/19)
Simplify (h**(-8))**47 assuming h is positive.
h**(-376)
Simplify z**(-2/3)/((z*z/(z*z*z**(-1/10)*z))/z) assuming z is positive.
z**(37/30)
Simplify (x**(-4/3))**(13/2) assuming x is positive.
x**(-26/3)
Simplify (k**(-1/4)*k)**(-6/17) assuming k is positive.
k**(-9/34)
Simplify ((k*k**0/k)/k)**(2/5)*k**(-6)*k*k/k**3 assuming k is positive.
k**(-37/5)
Simplify j*j**(-2/3)*j**(-6)*j/(j*j**(2/11)*j*j)*j**4 assuming j is positive.
j**(-127/33)
Simplify b**(-12/13)*b**(14/5) assuming b is positive.
b**(122/65)
Simplify (w**(1/7)*w*w**(1/8)*w)**(-21) assuming w is positive.
w**(-381/8)
Simplify (q*q**(-4/7)*q*q**4)/(q*q**(-1/2)*q*q/((q*q*q**(-1/3))/q)) assuming q is positive.
q**(151/42)
Simplify (q*q*q*((((q/(q/(q/(q**(-3/10)*q))))/q*q)/q)/q)/q)/(q*q**19) assuming q is positive.
q**(-197/10)
Simplify ((c*c*c*c**(-1/2))**(-9))**(-25) assuming c is positive.
c**(1125/2)
Simplify ((u*u**(2/3))/u**5)/(u**(-4)*u**(2/5)) assuming u is positive.
u**(4/15)
Simplify ((g/(g*g**(2/5)))/g)**(-26) assuming g is positive.
g**(182/5)
Simplify ((w**(8/7)*w*w)/w)**(6/23) assuming w is positive.
w**(90/161)
Simplify (f**(-5)*f**4)**42 assuming f is positive.
f**(-42)
Simplify ((v/(v**(22/7)/v))/v*v)/(v/v**22) assuming v is positive.
v**(139/7)
Simplify m**(-15)*m*m**(-4)/m assuming m is positive.
m**(-19)
Simplify s*s/s**(-6/7)*(s*(s*s*s*s*(s*s*s**21/s)/s)/s)/s assuming s is positive.
s**(188/7)
Simplify q**(16/3)/q**(3/5) assuming q is positive.
q**(71/15)
Simplify (v**3*v)/v*v**(-2/9)/v assuming v is positive.
v**(16/9)
Simplify (g**(-2/33)*g)**(-13/5) assuming g is positive.
g**(-403/165)
Simplify b*b/(b*b**(2/15))*b*b**(-2/7)*b*b assuming b is positive.
b**(376/105)
Simplify (((f**4*f)/f)/(f**(5/4)*f*f*f))**(-4/15) assuming f is positive.
f**(1/15)
Simplify ((v*v**(-3))/v)**13 assuming v is positive.
v**(-39)
Simplify (n/n**(2/25))/n**(1/5)*n**(-4/3)/(n**(-1)*n) assuming n is positive.
n**(-46/75)
Simplify (g**(-26)/g)**4 assuming g is positive.
g**(-108)
Simplify ((h**(4/5)*h)**(-1/16))**(-10/3) assuming h is positive.
h**(3/8)
Simplify ((q*q*q**3*q)/q**(-2/49))**(3/13) assuming q is positive.
q**(888/637)
Simplify (r**(2/7)/r)**(-2/33) assuming r is positive.
r**(10/231)
Simplify (k**(-11)*k**11)**(-4/7) assuming k is positive.
1
Simplify b*b/b**(-16/3)*b**(-1/ | {
"pile_set_name": "DM Mathematics"
} |
176)/(-66)*9*(-9)/54?
-4
Calculate (21 + -22)*(1 + 1).
-2
Calculate (3 + -4)*4/(14/7).
-2
What is ((-152)/(-6))/((-840)/(-36) - 22)?
19
(6/21)/(22 + (-11565)/525)
-10
What is (12 - 15) + (-67)/(-23) + (-82)/115?
-4/5
(14/(-49))/((-21)/(-147)) - -10
8
(3*(-50)/(-105))/((-4)/(-2))
5/7
What is the value of (16 - 7) + -15 + 12?
6
Evaluate -4 - 6 - -24 - -3.
17
Calculate ((-360)/84)/(15/(-35)).
10
-1 - (15 + -3)*-1
11
What is the value of (1 + -4)/((-2106)/52 - (0 + 0))?
2/27
What is the value of (-2120)/318 + 6/9?
-6
Calculate (-18 - -12)/(-5 + 2) + 44/(-10).
-12/5
What is the value of ((-6)/27)/((-630)/810)?
2/7
Calculate 4/(-54) - 204/(-2754).
0
Evaluate 5 - (4631/870 + (-360)/1200).
-2/87
What is the value of (-160 - -178)*(-84)/54?
-28
What is (144/(-21))/(-6) - 0?
8/7
What is the value of (-160)/720*(-1)/((-10)/(-6))?
2/15
(-30)/2*(-658)/(-7896)
-5/4
What is (-40)/48*-4 + (190/(-30) - -7)?
4
Evaluate (-76)/57*6/180.
-2/45
What is the value of (-80)/460 + (-550)/(-9775)?
-2/17
What is (-378)/245 + 35/25?
-1/7
Calculate (-22)/(-6)*(-10170)/(-18645).
2
Evaluate (-7568)/(-1276) + 11 - (-2)/29.
17
What is ((-90)/(-140) + 104/(-91))/(1/6)?
-3
Calculate (3741/(-1204))/87*-10*1.
5/14
Calculate ((-114)/12 + 10)*60.
30
What is 6 + (-65)/(-30)*(294/(-56) - -3)?
9/8
What is (-660)/462*364/(-65)?
8
Evaluate ((-548)/(-68) - (-14)/(-238)) + -16.
-8
Calculate 176*8*(-4)/(-352).
16
What is the value of ((-9)/(-5) - (263 - 262))/(-14)?
-2/35
Evaluate 35 - (76 - 43) - (-34)/(-18).
1/9
146/584*((-4)/(-2) + 0 + -1)
1/4
What is the value of (-11 - 17 - 6)/2?
-17
What is (-54)/(-8)*76/(-57)?
-9
What is (-24)/30 + 98/60?
5/6
Evaluate (172/(-215))/(-1*(-2)/(-10)).
4
Calculate (28 - 32)*-2*2/(-56).
-2/7
Evaluate ((-28)/6)/(138/(-414)).
14
Evaluate (-12 - (-299)/26)*(-5 + 5).
0
What is the value of 11/(-4)*(19 + -15)*(-18)/33?
6
Calculate 59/(-59)*((-1)/2)/(75/(-30)).
-1/5
Evaluate 2115/(-28200)*5/(-3).
1/8
What is the value of ((-1380)/(-161))/10 + (-40)/238*3?
6/17
What is (9 + -29 - -21)/((-1)/(-25))?
25
((-4)/(-4) - 0)/((-138)/48 + 3)
8
What is the value of (-6)/(-3) + 2 - -10*(-6)/(-15)?
8
(18/6 + -10)*319/203
-11
What is (-3)/(-21) + (5/(-35))/((-1)/(-43))?
-6
Calculate 13750/15125*(-33)/2.
-15
(0 + -6)*(21/(-315))/((-10)/(-50))
2
What is the value of 280/(-315) - 6/54?
-1
What is the value of (4914/(-75))/6 - (2016/200 + -10)?
-11
Evaluate 1043/42 - (-20)/18*(-18)/24.
24
Evaluate (-16)/((-14)/147 + 132/63).
-8
Evaluate 11*(-34)/(170/(-5)).
11
(31 - -1) + -236 + 172
-32
What is the value of ((-7)/14)/((-18)/(-396))?
-11
What is 85/(-20) - 37/(-148)?
-4
What is the value of 63/(-7) - 4*8/32?
-10
What is 4 + ((-1070)/210 - -1)?
-2/21
Calculate (76 + 9100/(-125))*2*5/(-4).
-8
What is 1301/42 - 295/(-12390)?
31
Evaluate (-4)/((-24)/27)*(31 + (-2639)/84).
-15/8
What is the value of (30 + 9284/(-308))*(2 - 1)?
-1/7
What is 75/45*(-216)/(-45)?
8
-6 + 1082/190 + (40/(-95))/(-4)
-1/5
What is (14 - (-25)/((-37400)/20878))*(-8)/(-6)?
1/17
Calculate (-1715)/155 + (-6)/(-93).
-11
What is ((-1482)/(-702))/((-7)/(-63))?
19
Evaluate (7/49)/(42/84).
2/7
(14025/(-50))/(-51) + (-50)/4
-7
What is (4/(-22))/(5700/(-130625))?
25/6
Calculate (-3)/6*2002/77.
-13
1 + (-13 - 720/(-63))
-4/7
What is (-8)/(-25)*420/112?
6/5
What is the value of ((-461429)/13277 - -35) + 4/34?
4/11
(0 + (-48)/(-20))/(72/(-480))
-16
What is ((-15)/45 - 3)/(60/(-54))?
3
Evaluate 45*(-12)/70*784/(-336).
18
(-2)/4*(1291 + -1311)
10
Evaluate (4767/189 + -25)/(-3).
-2/27
What is -14 + 1360/100 + (-7)/(-55)?
-3/11
(6 + -5)*(-19)/(133/140)
-20
-35*(1526/(-70) + 22)
-7
Evaluate 7/((-217)/92) + -16 + 19.
1/31
What is (-24)/14 + (213 - 211) - (-489)/(-21)?
-23
What is (27/36)/((-12)/(-16))*-10?
-10
Evaluate ((-3)/66)/(-2 + (-66)/(-24)).
-2/33
Evaluate 3 - 8 - (-2 - -10 - -1).
-14
Evaluate (-6 + 2)/((-6116)/278).
2/11
What is (-3366)/2992 - (-10)/16?
-1/2
(38 + 1224/(-34))*(2*1)/58
2/29
What is the value of -9 + (-6)/((-57)/38*2/12)?
15
Evaluate ((-3132)/135 + 19)*-5.
21
Evaluate (4 - -7) + -15 + (15 - 30).
-19
Evaluate (177/(-15) - (-2)/(-10))*(-2116)/1587.
16
What is 17 - ((-390)/(-26) - 14)?
16
Evaluate (-300)/8400 + (-45)/(-476).
1/17
Calculate (4/(-7) - (-3)/(-7))*(-675)/27.
25
54/162 + ((-25)/(-15))/5
2/3
(2 - (-88)/(-77))*-14
-12
Evaluate (-1 + -1)/(-9 + 1261/143).
11
Calculate ((-28)/(-910))/(12/39).
1/10
What is (5 + (-341)/93)*(9/(-66))/1?
-2/11
What is the value of -4 + 2 - (-1 + 7 - 1)?
-7
What is 17/4*(1852 + -1856)?
-17
Calculate (55/165)/(2/(-2))*(0 + 42).
-14
What is the value of 9/(90/(-28))*(455/14)/(-13)?
7
(-36)/((-1296)/828) - 13
10
Evaluate (8/(-168))/(-1)*51/17.
1/7
What is the value of (0 - 2/(-5))/(3938/660 - 6)?
-12
Calculate (-80)/(-6) - (20/(-15))/(16/(-4)).
13
What is (-40)/(23400/2665) + (-4)/9?
-5
Evaluate (16/120)/((-24)/(2280/(-133))).
2/21
What is (-18 - 2223/(-133))/(20/8 + -2)?
-18/7
(-5 + 11/2)/(236/80 - 3)
-10
(-18*1/(-7))/((-15114)/(-6412))
12/11
What is the value of (-3 - 2) + (-990)/(-150)?
8/5
What is the value of (-8)/6*12/16 - (9 - 5)?
-5
0 - (-14)/70 - (-39)/(-30)*14
-18
Calculate 1*(-2 - 6 - -23).
15
Evaluate (-8)/(-3)*((-1067)/(-88) + -2 + -10).
1/3
What is (-31 - (-5 - 5))*(255/(-135) - -2)?
-7/3
What is the value of (-4)/(-26) + (-1295)/(-13468)?
1/4
What is the value of (0 - 1)/(-8 - (665/21)/(-5))?
3/5
Evaluate ((-290)/(-116))/(15/(-138)).
-23
What is the value of ((-19)/(-38)*-2)/1?
-1
What is the value of (-1)/(-16) - ((-15045)/(-2448))/(-59)?
1/6
What is 24/(-64) + (-490)/(-112)?
4
Calculate (((-39)/(-52))/(3/(-2)))/((-5)/(-120)).
-12
Evaluate ((-45)/(-108)*9)/(2 + (-4 - 1)).
-5/4
What is the value of ((-108)/(-240))/((-102)/272)?
-6/5
(-1)/50*(-1930)/(-772)
-1/20
Evaluate 12 + 1 + -18 + -14 + 25.
6
-10 + (-49)/7 + 2
-15
Calculate 767*21/546 - (-2)/(-4).
29
What is 4626/3598 + 638/(-518)?
2/37
What is the value of (0 - 18 - -5)/(-1)?
13
What is the value of 2/(-22) + 2064/(-6336)?
-5/12
Calculate 6/8*((-14)/(-15) + 84/(-630)).
3/5
What is the value of 49/(-3) - 36/(-27)?
-15
Evaluate (2/(-3))/(((-451)/(-198))/41).
-12
What is the value of (-12)/8 - ((2 - 2) + -1)?
-1/2
Evaluate (-1196)/455 + 12 + (-968)/77.
-16/5
Evaluate (-14 - -2) + (-106)/(-8).
5/4
What is -9 + 209/38 + (-2)/(-4)?
-3
Calculate (-56)/1540*11/(-10).
1/25
((-364)/(-24) + -15)/(4/(-312))
-13
What is ((-2)/(-3))/((-4063)/2151)?
-6/17
What is the value of 1/(-3) - (-2)/(-8 - (-1276)/158)?
26
Evaluate -2 + 2/(-7)*714/(-84).
3/7
What is (-15 - (-55)/5) + -4?
-8
What is the value of ((-420)/20 - -21) + (-2)/(-9)?
2/9
Calculate 490/147*72/(-210).
-8/7
-21 + 610/30 - (5/3 + -1)
-4/3
Evaluate 1 + 6 - (224/98 + 7).
-16/7
What is (320/28 + -10)/(27/(-21))?
-10/9
Evaluate ((-65)/(-20))/(32/128).
13
Calculate -31*-3*(-15)/((-315)/7).
31
Evaluate 594/(-264) - 3/24*86.
-13
Evaluate (81/(-270))/((-3)/(-9)*(-18)/4).
1/5
Calculate ((-46)/6)/((3/72)/(24/192)).
-23
(-1143)/(-630) + (-75)/750
12/7
(-2)/(-6) - (-3 + (-78)/(-18) + -3)
2
Evaluate 6 + (11/(-22))/(2/48).
-6
39816/1422*(2 - 1)
28
Evaluate ((-25)/(-10))/(-5) + (-9)/54.
-2/3
What is 12 - (1 + 18/9)?
9
803/(-132) + (-4)/6 - 3/12
-7
What is 2/(-8*(-189)/(-168))?
-2/9
Calculate (-950)/(-525) + (-7 - 6) + 11.
-4/21
(-4)/3 + (-2212)/(-237)
8
What is the value of (-4 - (-684)/(-351)) + (33 - 27)?
2/39
What is (-6)/(-27)*1320/(-1100)?
-4/15
Evaluate 1/(((-80)/(-75))/((-3)/9) - -3).
-5
Evaluate (-32)/12*(-1218)/464.
7
Evaluate (32/18)/(-2) - (-4700)/(-423).
-12
What is (-186)/155*11/(-22)?
3/5
Evaluate (0 - (-114)/10) + -4*1/10.
11
What is (-6)/12*(3/57)/(4/(-16))?
2/19
Evaluate (0 - (-2 + 4))/(556/(-278))*-11.
-11
Evaluate (-192)/256*(-196)/(-21).
-7
Calculate 5/(7 - (17 - (116 - -4))).
1/22
Calculate ((-693)/(-70) + 126/(-36))*(-7)/28.
-8/5
What is 1/2 + -1 - (75/70 - 2)?
3/7
Calculate 11/(-55)*-25 + (-138)/24.
-3/4
Evaluate (6*3/(-234))/((-2)/8*-2).
-2/13
What is (-16)/24 + (34/10)/((-357)/(-85))?
1/7
Calculate 7/(-3) - (-18328)/6636.
3/7
(1/3 - 0) + 44/264
1/2
What is the value of (-273 - -252) + 20 + 1?
0
What is the value of 2/(-4)*1930/772*1/(-2)?
5/8
What is the value of ((-427)/(-1708))/(50/(-16))?
-2/25
What is ((-55)/(330/(-64)))/(4/6)?
16
Evaluate (-6*(-10)/90)/((-20)/150).
-5
What is (-423)/30 - (0 - 1/10)?
-14
((-16)/(-4) - 595/51) + 9
4/3
Evaluate 16 | {
"pile_set_name": "DM Mathematics"
} |
-1
Let y(o) = -o**2 + 17*o - 15. Let q be y(15). Suppose 10*g - 11*g = q. Let h be (4 + -1)*g/(-9). Solve -5*i - l = h - 1, 0 = -4*i + 5*l + 20 for i.
0
Let r(k) = k**3 - 12*k**2 - k + 12. Let n be r(12). Let y be 13/(-52) + (n - 18/(-8)). Solve -y*o + 9 = -m, 5*m - o = m - 15 for m.
-3
Suppose 3*x - 4*x = 0. Suppose x = 2*m - 5*m + 105. Solve -h + 5*h = -3*i + m, 10 = -i + 3*h for i.
5
Let v be -4 - 87/(-18) - (-266)/84. Solve 5*i - 16 = -p + 9, 0 = v*i + p - 20 for i.
5
Let t be ((-51)/(-34))/(2/4). Solve -14 = -x + t*k, 2*x = 4*k - 0*k + 22 for x.
5
Let l = -745 + 749. Solve -2*s - 2*w = l, -5*w + 3*w + 31 = -5*s for s.
-5
Suppose -6 = -5*p + 4. Suppose -l = -4*l - p*l. Solve -5*i + 3*z - 15 = 0, 5*z = -l*i + 2*i + 25 for i.
0
Let i(g) = -9*g**3 - 4*g**2 + 9*g - 3. Let t be i(2). Let s = 75 + t. Solve s*r + o - 9 = 2, -4*r = o - 19 for r.
4
Suppose -5*o = -6*o + 5, 0 = 2*b - 5*o + 7. Suppose -5*m + b = -2*m. Solve 0 = m*q - 5*y - 10, -4 - 2 = -q - y for q.
5
Let h(q) = -6*q - 111. Let p be h(-19). Solve -5*o - p*x - 35 = -8*x, -5*x = -10 for o.
-5
Let z be 10 + (-1 - -1) - -1. Suppose -4*s + 3*j - 37 = 81, 4*j = -5*s - 163. Let r = -29 - s. Solve 3*k - z = -r*d + d, 4*k - 16 = -d for k.
5
Suppose 5*l - l = -3*c + 23, 2*c - 18 = -4*l. Solve 0*x = x - s + 2, -c*s - 11 = 2*x for x.
-3
Let x = 3098 - 3094. Solve 3*i = -5*p + 11, -3*i + x = -4*p + 2 for i.
2
Let a(q) = -q**2 + 26*q - 19. Let k be a(25). Suppose -55 = -5*n - k*n. Solve 0 = 5*s - 5*i + 35, -31 = 5*s - n*i + i for s.
-3
Let f be (-50)/40*48/(-30). Solve -3*s - 3*k + 0 = 6, 0 = -4*s - 2*k - f for s.
1
Let m(o) = o**2 + 6*o + 2. Let v be m(-7). Let x be 1 + 2 - v/3. Suppose -5*l + 15 = -5*f, -4*f - 5 = f - 3*l. Solve 3*r + b + f = x, 0 = r + 2*b + 1 - 7 for r.
-2
Suppose -2*l - 9 = -3*l. Suppose -s - l = -4*q, s = -q + 6*s - 12. Let z = 5 + -3. Solve -2*h - z*m + 19 = 3*m, q*h + 5*m = 21 for h.
2
Let u = 37713 - 37711. Suppose 41 = 5*x - 4*n, 0 = 3*x - 2*x - n - 9. Solve 0 = 2*h + 2*g + 16, -u*h - 28 = x*g for h.
-4
Let h(s) = -s**3 + 31*s**2 + 67*s + 4. Let p be h(33). Let g = 5 + 0. Solve 5*k + p = -5*m + 2, -g*m = 10 for k.
-5
Let u be (6/(-8))/(2/(-8)*1). Suppose 16 + 32 = u*j. Solve 0 = c - 3*c - 2*z + j, 2*z = 8 for c.
4
Let d be ((-3)/6 + 2/4)*1. Solve -2*a + d*a + 8 = p, a = 5*p - 7 for a.
3
Suppose -4*m - 56 = -0. Let i = m - -19. Suppose 4*s - 4 = 4. Solve 2*v = i*z + 6*v - 2, -s*v = z - 4 for z.
-2
Suppose 0 = 3*p - 12 + 3. Let k be 4/2*10/4. Solve k*l + 10 = -d + 3, -l = -p*d + 11 for d.
3
Let c(s) be the first derivative of s**4/4 - 3*s**3 + 9*s**2/2 - 8*s - 51. Let z be c(8). Solve -x - 6 = 3*y, z = -x - 2*x + 4*y + 8 for x.
0
Let w(o) = 5*o - 25. Let c be w(10). Suppose 5*x + 5 - c = 0. Let k(h) = h**2 - 1. Let z be k(-1). Solve 3*m + x*y - 17 = z, 3*m + 0*y - y = 7 for m.
3
Suppose 0 = 5*a - 168 - 82. Let v = 56 - a. Solve -3*b - 2*x - 4 = 0, 0*b + v = -2*b - 3*x for b.
0
Let x(m) = m**2 - 8*m + 21. Let t be x(4). Solve 6*p + 2*k - 6 = 4*p, -5*p = k + t for p.
-2
Let i = 293 - 288. Solve -x = -4*g - 6*x + 11, 0 = -2*g + i*x + 13 for g.
4
Suppose 56 = 4*n - 4. Let o be 90/(25/5)*(-8)/(-12). Let f(t) = -t**2 - 5*t - 1. Let y be f(-4). Solve -z - 4*m - m + n = 0, -y*m = -o for z.
-5
Suppose 7*u - 24 = 3*u. Solve 0 = -l - s - u, -3*l = 2*l + s + 10 for l.
-1
Let y(n) = 2*n**2 - 26*n + 83. Let r be y(10). Solve r = 2*m - 6*m + 3*p, 5*m + 22 = -3*p for m.
-5
Suppose 24*j + 5*c - 45 = 19*j, 5*j - 5*c - 35 = 0. Solve -20 = 4*v + 6*z - z, -5*v + 2*z = -j for v.
0
Let k(g) = -12*g + 8. Let d be k(5). Let j = d + 55. Solve -4*z - 35 = -3*t, 5*t - 30 = -j*z + 4*z for z.
-5
Suppose -2*a + 0*a + 10 = 0. Suppose 4*x = 7 + 49. Suppose 5*g - 21 = -11. Solve 4*k = 5*j - g, -a*k - j = -k + x for k.
-3
Suppose 3*g + 40 = 7*g. Let y = 29 - g. Solve -4*m = k + 13, -3*m + y = 2*k - 7*k for m.
-2
Let n(x) = 14*x + 87. Let t be n(-6). Suppose 3*s = -5*m + 23, -2*s + m + 6 = 2*m. Solve 0 = -5*v + 3*y - s, v + t*y - 7 = 0 for v.
1
Let y = -815 - -821. Solve c - 4*c + 5 = -4*m, 4*c - 5*m - y = 0 for c.
-1
Suppose -f + 7 = -5*k, f - 27 = k - 24. Solve 0 = -4*u + f*u - x - 1, -u = 4*x + 4 for u.
0
Suppose 0*l + 2*l = 10. Suppose 2*s - 43 = 3*z, -l*z + s - 5*s - 35 = 0. Let a = z + 16. Solve 5*y - 8*b = -3*b - 30, -28 = a*y - 3*b for y.
-5
Let x(v) = -v**2 - 15*v - 23. Let l = 2 + -15. Let i be x(l). Solve -2*r + 8 = -t, -r + 1 - 4 = i*t for t.
-2
Let z be (-3)/3 + (2 - 1). Suppose -r + 10 = r. Suppose -4*o - 4 = -3*i, -2*i + 2 = -5*o - 3. Solve z*c + r*c + 20 = -h, i = -2*c + 3*h - 8 for c.
-4
Let w be 0*1*(0 - -1). Let i(h) = -h**2 - 8*h - 7. Let y be i(-5). Let s be 13/3 - y/(-12). Solve 5*o - s = 0, -5*m + 0*o + 4*o + 21 = w for m.
5
Suppose 17*f = 8*f + 18. Suppose -4*k - 3*y + 115 = 0, f*k + 0*k + 4*y - 70 = 0. Solve -5*p = -t + 2*t - k, -2*p = 5*t - 33 for t.
5
Let b be (48/(-42))/(10/(-35)). Solve -c + b*q = 0, 5*q - 7 = -5*c + 18 for c.
4
Suppose -10 = 11*c - 16*c. Solve -c*q + 12 = -2*g, -q = -6*g + 3*g - 14 for q.
2
Let f(p) = -10*p + 390. Let j be f(39). Solve -6*n + 5*a + 3 = -9*n, -4*a = j for n.
-1
Suppose s = 2*k - 26, -2*k - s + 0*s + 30 = 0. Let g(t) = t**3 - 15*t**2 + 13*t + 14. Let b be g(k). Solve -v + 1 = b, -u - 7*v + 2 = -3*v for u.
-2
Let o(t) = -3*t - 3. Let p be o(-1). Solve 5*q + 5 = p, 3*h - q - 6 = -20 for h.
-5
Suppose -3*s + 12*x = 8*x - 46, -4*s = -3*x - 73. Let d be (-2)/5 - 312/(-5). Let z be (-2)/(-11) + d/s. Solve z*c + 5*b - 8*b + 3 = 0, -5 = 5*b for c.
-2
Let p = 0 + 0. Let c(f) = 7*f - 6. Let n be c(3). Let k be (-7)/(-5) + n/25. Solve -2*r + k*d + 6 = p, -3 = -0*d - 3*d for r.
4
Let j(l) = l**3 + 45*l**2 + l + 48. Let f be j(-45). Solve -r = 5*i - 11, -f*r + 4 = 5*i - 9 for r.
1
Let m be (-22)/(-4) - ((-990)/(-36))/11. Solve m*a + 7 = -2*s, 4 = -5*a + 2*s + 19 for a.
1
Let s be (6426/45)/17 - (-3)/5. Solve 10*b - 11*b = -3*k - s, 4*k - 5*b = -23 for k.
-2
Suppose 4 = 4*s - 8. Solve 0 = 3*q + s, -1 - 2 = a + 4*q for a.
1
Let y = 6 - 20. Let i = y - -19. Solve 2*t - i*r = -5, 2*r + 0*r = 4*t + 2 for t.
0
Let w(o) = -o**2 + 8*o + 3. Let n(d) = -d**3 + 20*d**2 - 21*d + 46. Let y be n(19). Let q be w(y). Solve -q*a - 3*b + 2*b = -11, a - 1 = -b for a.
5
Suppose -4*n - 35 = 5*f, 0*f + 2*f - 2 = 0. Let r = n - -6. Let c = 6 + r. Solve 2*s = 2*j + c, -3*j = -7*j - 2*s + 14 for j.
2
Suppose 4*s = 2*q + 7*s - 19, -5*q + 5*s - 15 = 0. Solve 3*o + 3*j = 0, 0*j - 4*j - q = 3*o for o.
2
Let y = 129 - 115. Suppose 0 = 5*d + 3*j - 197, -y - 27 = -d - j. Solve f - 10 = -5*m, -3*m = m - 5*f - d for m.
3
Suppose 13 = -s - 5*a, -25 = 2*s - a - 10. Let f(i) = i**2 + 8*i + 2. Let n be f(s). Solve 3*w - n*p + 19 = 0, -3*w = w + 4*p + 12 for w.
-5
Let b(p) = -4*p + 12. Let z be b(3). Suppose 0*f - 2*f = z. Solve 5*h + 6 = -4*i, 4*h + f = -2*i - 6 for i.
1
Let t(a) = 2*a**3 + 34*a**2 + 57*a - 43. Let j be t(-15). Let w = -3 + 5. Solve 3*m - 4 = w*f, -m - j*f = f - 5 for m.
2
Suppose -5*k + 6*k + 21 = 0. Let t = k + 23. Let j(s) = s**3 + 5*s**2 + 2*s - 3. Let y be j(-4). Solve -y*c - a + 7 = 0, a - 3 = t*a for c.
2
Let f be 3 + 0 - (-3)/(6/34). Suppose 0 - f = -5*g. Solve 2*u + 4 = -3*z - 4, -5*u - 13 = g*z for z.
-2
Let o be ((-320)/(-128))/(2*(-2)/(-24)). Solve j = -q - j + o, -3*q + 4*j = 5 for q.
5
Let r(w) = -6*w + 10. Let m(x) = 3*x - 5. Let u(q) = -7*m(q) - 3*r(q). Let c be u(0). Solve -c*h + 16 = i, i + 16 = 2*h + h for h.
4
Let v(l) = -l + 2. Let f be v(5). Let a be f/(-9) + (-30)/(-18). Solve 0 = 2*h + 2*h + 3*u - a, 2*h - 6 = u for h.
2
Let w = -1156 - -1160. Solve -t = 4*p - 16, 0*t + 16 = 2*t + w*p for t.
0
Suppose 2*i + 3*q - 5 = 0, -4*i + 12 = -2*i - 4*q. Solve -m = 4*o + 9, -2*o - i = -2*m - 2 for o.
-2
Suppose 19 = 5*i - 6. Suppose 0 = -5*h - 2*c + 5, i*h - c = 3*h + 11. Solve 2*d = -5*m + 17, -4*m + 32 = -h*d - 0 for d.
-4
Suppose 11*r - 30 - 14 = 0. Suppose -5*i + 0*i = -3*m + 8, 4*m - 39 = i. Solve r*h = -0*h + 5*w + 17, -3*h - m = w for h.
-2
Let k(j) = 5*j**2 + 10*j**2 - 3 + 5*j - 28*j**2 + 14*j**2. Let z be k(-6). Solve 6 = z*h, 0*h - 3 = -3*l + 3*h for l.
3
Let q be -1 + 2 + 2 + 9. Suppose -q = -5*h + 13. Solve -4*i - 1 + 9 = 4*x, -h*i = -4*x + 35 for x.
5
Let c be 2/2 + (0 - -3). Let u be 1 + 1 + 112/8. Solve 2*q - 7*q + 11 = r, -u = c*r for q.
3
Suppos | {
"pile_set_name": "DM Mathematics"
} |
In base 16, what is b + 2d4f?
2d5a
In base 13, what is -7 - -698?
691
In base 11, what is -4 + 122817?
122813
In base 8, what is 46 - -352?
420
In base 13, what is -b7 + a32?
948
In base 9, what is 116 + 11223?
11340
In base 10, what is 49944 + 4?
49948
In base 6, what is 5341051 - 0?
5341051
In base 13, what is -2b75 - 100?
-2c75
In base 2, what is -10100101 + 1111110010110?
1111011110001
In base 7, what is 1 + 114306?
114310
In base 14, what is 2 + -5514?
-5512
In base 5, what is 34 + 204020?
204104
In base 14, what is 321b - 2?
3219
In base 6, what is 25 + -413211?
-413142
In base 13, what is 1 + -7185?
-7184
In base 15, what is 4c984 - -1?
4c985
In base 4, what is 210301113 + -2?
210301111
In base 16, what is -513 + 5?
-50e
In base 16, what is -3 - 4d2a?
-4d2d
In base 15, what is 2b2c - -7?
2b34
In base 13, what is 66b0 + 23?
6703
In base 16, what is -39201 - 2?
-39203
In base 3, what is -12 + 21110202202?
21110202120
In base 14, what is 5 - cb73b?
-cb736
In base 4, what is 113103031 - -1022?
113110113
In base 9, what is -41467 + 21?
-41446
In base 10, what is -9 + -8883?
-8892
In base 4, what is -2321 + 32102?
23121
In base 12, what is -5 - -5a57?
5a52
In base 15, what is 5 + -15e402?
-15e3ec
In base 7, what is -4 - -116622?
116615
In base 11, what is 57 + 302?
359
In base 7, what is -2 + -233205?
-233210
In base 9, what is -103 + 30841?
30737
In base 3, what is -1022202 + 1200?
-1021002
In base 11, what is -141386 + -5?
-141390
In base 12, what is -767 - -82?
-6a5
In base 8, what is -1236 - 6?
-1244
In base 2, what is -1001001010100000111 - -10?
-1001001010100000101
In base 13, what is -158ab5 + -b?
-158ac3
In base 16, what is 107a9b - 0?
107a9b
In base 9, what is -21224 - -1?
-21223
In base 13, what is 3 + 362372?
362375
In base 4, what is -103 + -2230131?
-2230300
In base 2, what is 11101 + -10110111001010?
-10110110101101
In base 6, what is 25 + -20203?
-20134
In base 7, what is 1634453 - 3?
1634450
In base 15, what is -60e5 - 15?
-610a
In base 4, what is 20213 - 2311?
11302
In base 8, what is 4 - -364172?
364176
In base 7, what is 21 + -4032?
-4011
In base 9, what is -327685 + 4?
-327681
In base 4, what is 22100132 + 1?
22100133
In base 3, what is -1 - 22120220?
-22120221
In base 10, what is -22 + 12326?
12304
In base 12, what is -15 + -20110?
-20125
In base 10, what is 9 - -119777?
119786
In base 8, what is 4 + -632553?
-632547
In base 16, what is 1052 - 27?
102b
In base 13, what is 22b889 - 1?
22b888
In base 8, what is 0 - -33746?
33746
In base 10, what is 597 - 150?
447
In base 3, what is 222112201 - 1211?
222110220
In base 10, what is 5 + 17014?
17019
In base 15, what is -32eb55 + 5?
-32eb50
In base 14, what is 4 + db77?
db7b
In base 3, what is 0 - -20210112102?
20210112102
In base 9, what is 1503 - 27?
1465
In base 7, what is 11310 - -5?
11315
In base 4, what is 11013020 + 13?
11013033
In base 16, what is 3284 + -78?
320c
In base 14, what is 9815 - -5?
981a
In base 11, what is 1 + -55973?
-55972
In base 14, what is -1725cc - 0?
-1725cc
In base 7, what is -160 - -1261?
1101
In base 3, what is -12 - -2111112102222?
2111112102210
In base 6, what is 5205022 - 11?
5205011
In base 13, what is -49 - -5443?
53c7
In base 7, what is -5 - -22205?
22200
In base 16, what is -24be + -5?
-24c3
In base 16, what is 19c + -143?
59
In base 5, what is -230430213 - -1?
-230430212
In base 12, what is -7 - -5a044?
5a039
In base 14, what is -202 + -654?
-856
In base 5, what is 414 - -22010?
22424
In base 2, what is 100101 + 111101101001?
111110001110
In base 10, what is -5677 + -7?
-5684
In base 7, what is 13420 - 24?
13363
In base 16, what is -e313 + -2?
-e315
In base 12, what is 0 + -23a792?
-23a792
In base 16, what is 1f5 - 2f0c?
-2d17
In base 6, what is 20 + 42212?
42232
In base 16, what is 0 + 4159e?
4159e
In base 10, what is -2 + -1948?
-1950
In base 11, what is 2737 + -8?
272a
In base 2, what is 11 + 1010011000110111001?
1010011000110111100
In base 16, what is f37 + -1?
f36
In base 15, what is -4 + -208ab?
-208b0
In base 3, what is 11 - -101022001?
101022012
In base 8, what is -741 + -46?
-1007
In base 8, what is -7 - 51?
-60
In base 10, what is 12542 - -5?
12547
In base 7, what is -14421 + -1?
-14422
In base 15, what is -19b - a45?
-be1
In base 14, what is a - -1772?
177c
In base 11, what is 10 + 510a?
511a
In base 4, what is 200 + -22113?
-21313
In base 11, what is -62481 - 2?
-62483
In base 11, what is -5414 + 46?
-5379
In base 14, what is -2 + -3b35d?
-3b361
In base 8, what is -10 - 13710?
-13720
In base 3, what is 10 + -1222121110?
-1222121100
In base 4, what is 2321133 + 101?
2321300
In base 7, what is -3061330 - 0?
-3061330
In base 13, what is 5 - 3206a?
-32065
In base 5, what is -1 - -12202430?
12202424
In base 14, what is 24d + 1a08?
1c57
In base 5, what is -14300430 + -1?
-14300431
In base 12, what is -5a04 - 19?
-5a21
In base 4, what is -1102 - -31?
-1011
In base 2, what is 10101110010 + 101010?
10110011100
In base 3, what is -21120000 - 0?
-21120000
In base 13, what is 5578b + -3?
55788
In base 6, what is 0 + -11232104?
-11232104
In base 16, what is 2f + -998?
-969
In base 6, what is -1225 - 551?
-2220
In base 15, what is 581 + c6?
657
In base 9, what is 1 - -10614?
10615
In base 3, what is -202 - -120102?
112200
In base 11, what is 12 - 2135?
-2123
In base 16, what is -78 + 7a?
2
In base 12, what is -24574b - -4?
-245747
In base 11, what is -351 + -4136?
-4487
In base 7, what is 340664 + -12?
340652
In base 12, what is 26 - -1871?
1897
In base 5, what is -20 - -21110220?
21110200
In base 9, what is -5 - -6001?
5885
In base 12, what is 1b4a0 + -a?
1b492
In base 11, what is 3 - -384?
387
In base 4, what is 1223213 - -31?
1223310
In base 15, what is -11 + -7394?
-73a5
In base 2, what is 10010101 + -111010000011?
-110111101110
In base 5, what is -1010013 + 1?
-1010012
In base 7, what is 2 + 236630?
236632
In base 13, what is -9101 + 3a?
-9094
In base 7, what is 155240 + -14?
155223
In base 5, what is 0 + -23310341?
-23310341
In base 13, what is cbc + 5?
cc4
In base 3, what is 102020200220 - -2?
102020200222
In base 11, what is -575423 - -2?
-575421
In base 8, what is -2411 + -1303?
-3714
In base 3, what is -2 + -20110221010?
-20110221012
In base 14, what is b338 - 0?
b338
In base 6, what is -10211314 + 2?
-10211312
In base 10, what is -613 + -280?
-893
In base 7, what is 2 + 161435?
161440
In base 16, what is -26ce + -2?
-26d0
In base 15, what is 5 + 18?
1d
In base 5, what is 2 + -1143411?
-1143404
In base 9, what is -85 - -10227?
10132
In base 13, what is -130 - -3150?
3020
In base 13, what is -8566 - 0?
-8566
In base 9, what is 2274756 - 3?
2274753
In base 14, what is -87d1a - -4?
-87d16
In base 2, what is 0 + -1011010001000000?
-1011010001000000
In base 15, what is 8c + -59?
33
In base 16, what is -da92 + -29?
-dabb
In base 2, what is -10101101 - 100101?
-11010010
In base 7, what is -12631 - -56?
-12542
In base 11, what is 3 + -14754?
-14751
In base 8, what is -2340176 + 3?
-2340173
In base 11, what is 1283 - -1?
1284
In base 6, what is -340 - 103?
-443
In base 11, what is 20942 - 147?
207a6
In base 9, what is -14738 + 7?
-14731
In base 11, what is 668a - 5?
6685
In base 16, what is -42e8 - 6?
-42ee
In base 3, what is -1021100100 + -11?
-1021100111
In base 6, what is -2442551 + -31?
-2443022
In base 12, what is 394774 + 4?
394778
In base 10, what is -29058 + 4?
-29054
In base 2, what is -101100 + -11100001101?
-11100111001
In base 16, what is 39 - 1b5?
-17c
In base 7, what is 6 - 3105436?
-3105430
In base 5, what is -2003334304 - -3?
-2003334301
In base 13, what is -4 - 61a8?
-61ac
In base 14, what is c276 + 28?
c2a0
In base 7, what is 103 + 6033?
6136
In base 12, what is -1144 + 6?
-113a
In base 16, what is 2 + 1fbd?
1fbf
In base 9, what is -61 - 3258?
-3330
In base 3, what is -2 + -22220201110?
-22220201112
In base 9, what is 14601 + 4?
14605
In base 13, what is 4 + -131c?
-1318
In base 11, what is -1043528 - 4?
-1043531
In base 5, what is -22431 + 1104?
-21322
In base 9, what is -57676 - 2?
-57678
In base 6, what is 50 + 3422453?
3422543
In base 6, what is -331154 + -5?
-331203
In base 4, what is 2220213 - -20?
2220233
In base 9, what is -1135384 - -4?
-1135380
In base 3, what is 22210210 + -22?
22210111
In base 4, what is - | {
"pile_set_name": "DM Mathematics"
} |
*m + 0*m - 19*m. Let p(t) = -1552*t. What is u(p(i))?
-1552*i
Let h(z) = 4*z. Let r = -101 - -97. Let x be (-2 - r)/(-2)*(-11 + 3). Let v(y) = 11*y. Let f(o) = x*h(o) - 3*v(o). Let s(l) = 7*l. Determine s(f(d)).
-7*d
Let x(l) = 7*l + 1. Let p(q) = 65*q**2 + 4*q - 37. Give p(x(g)).
3185*g**2 + 938*g + 32
Suppose -28*q - 424 = -20*q. Let l = 55 + q. Let z(g) = 3*g**2 - 22*g - 4*g**l + 22*g. Let i(s) = 9*s**2. Determine z(i(m)).
-81*m**4
Let z(b) = 1027*b**2 + 91*b + 273. Let c(g) = 34*g**2 + 3*g + 9. Let k(f) = 91*c(f) - 3*z(f). Let a(j) = 3*j**2 - 14*j**2 - 7 + 7. Calculate a(k(n)).
-1859*n**4
Let x(d) = 303247*d. Let c(i) = -28*i. Give c(x(k)).
-8490916*k
Let w(g) = -741*g - 2340. Let q(j) = -3*j - 10. Let l(a) = -1170*q(a) + 5*w(a). Let r(b) = 14*b - 2. Determine l(r(d)).
-2730*d + 390
Let t(l) = 5*l**2. Let y(v) = 68*v**2 - 3*v - 3. Let x(h) = 10335*h**2 - 455*h - 455. Let c(d) = -3*x(d) + 455*y(d). Give c(t(i)).
-1625*i**4
Let z(p) = 11*p**2. Let f(r) = -13*r + 53*r - 24*r. Give z(f(b)).
2816*b**2
Let c(q) = -6879*q. Let h(j) = 5535*j. What is h(c(g))?
-38075265*g
Let q(w) = -39*w - 40*w - 50*w + 126*w. Let l(g) = 90*g**2 - 9*g + 9. Let y(p) = p**2 - p + 1. Let x(o) = l(o) - 9*y(o). What is q(x(r))?
-243*r**2
Let r(g) = 9*g**2 + 10*g + 5. Let q = -7 - -12. Let j(t) = 91*t**2 + 98*t + 49. Let h(m) = q*j(m) - 49*r(m). Let n(w) = 9*w. Determine n(h(x)).
126*x**2
Let g(k) be the first derivative of -65 - k - 7*k**2 + 10*k**2 - 3*k**2 + 14*k**3. Let u(n) = n. Determine u(g(t)).
42*t**2 - 1
Let u(j) = -438308*j. Let o(l) = l**2 - 6. What is u(o(y))?
-438308*y**2 + 2629848
Let p(a) be the third derivative of -31*a**4/12 - 2*a**2. Let f(h) = -64*h + 112*h - 51*h + 2 - 2. Calculate f(p(d)).
186*d
Let w(f) be the first derivative of -15235*f**2/2 + 754. Let q(m) = m**2. Determine q(w(d)).
232105225*d**2
Let b = 97 + -25. Let v(s) = -s + 1. Let t = -4 + 3. Let g(z) = -60*z + 72. Let k(i) = b*v(i) + t*g(i). Let r(d) = -d. Determine k(r(u)).
12*u
Let t(p) = 3*p**2. Suppose 4*z = -4*r + 7*z + 27, 25 = -5*z. Let g(c) be the first derivative of 0*c**3 + r*c**3 + 26 - 17 - 2*c**3. Calculate t(g(i)).
27*i**4
Let h(z) = 5*z. Let j(g) = -2687868*g**2. Determine h(j(r)).
-13439340*r**2
Let c(s) = -1322*s**2 + 2. Let n(p) be the third derivative of -p**4/12 - 6863*p**2. Determine c(n(x)).
-5288*x**2 + 2
Let s(y) = 9*y - 1403. Let z(u) = u - 165. Let v(r) = 6*s(r) - 51*z(r). Let o(t) = 2*t + 14*t**2 - 2*t - 7*t**2. What is o(v(f))?
63*f**2 - 126*f + 63
Let g(f) = 4*f**2. Let a(n) be the third derivative of 3437*n**4/24 + 2*n**2 - n + 129. Determine a(g(l)).
13748*l**2
Let h(d) = 5*d + 5. Let y(u) = 346*u + 1. Determine h(y(q)).
1730*q + 10
Let f(h) = 730*h**2 + 1. Let o(y) be the second derivative of -y**3/6 + 97*y - 15. What is o(f(s))?
-730*s**2 - 1
Let i(g) be the second derivative of -g**4/6 + 342*g. Let y(w) = -295*w - 5. What is y(i(l))?
590*l**2 - 5
Let d(y) = 11*y - 10*y - 5*y + 317*y**2 - 312*y**2. Let h(r) = r**2 + 17 - 17. Calculate h(d(m)).
25*m**4 - 40*m**3 + 16*m**2
Let y(z) = -3*z. Let a(p) = -62*p**2 - 1323*p - 21. What is a(y(r))?
-558*r**2 + 3969*r - 21
Let m(o) = 418*o**2 + 1. Let b(l) = -13*l + 20. Let v(t) = -3*t + 5. Let k(d) = b(d) - 4*v(d). Determine m(k(f)).
418*f**2 + 1
Let g(p) = 5*p**2 + 2. Let o(m) = -m**2 + 15*m - 34. Let y be o(12). Let n(l) = -14*l**2 - 7. Let z(k) = y*n(k) + 7*g(k). Let v(a) = -13*a**2. What is z(v(s))?
1183*s**4
Let f(z) be the third derivative of 13*z**8/20160 - z**6/720 - 3*z**5/2 - 106*z**2. Let l(k) be the third derivative of f(k). Let r(o) = 4*o. Determine r(l(t)).
52*t**2 - 4
Let b(q) = 3396926*q**2. Let i(c) = -9*c**2. What is b(i(j))?
275151006*j**4
Let w(s) = 2*s**2. Let b(a) = -134*a**2 - 107934. Determine b(w(h)).
-536*h**4 - 107934
Let p(v) = 133*v + 4. Let w(t) = 132*t + 5. Let x(j) = 6*p(j) - 5*w(j). Let o(m) = 4311 - 2290 + 2*m - 2021. What is x(o(h))?
276*h - 1
Let o(h) = 314*h. Let y(z) = -506*z**2 + z. Calculate o(y(i)).
-158884*i**2 + 314*i
Let p(k) = -3*k. Let l(x) be the second derivative of -29*x**4/2 + x**2/2 - 1699*x. Give p(l(j)).
522*j**2 - 3
Let g(u) = -4*u**2 + 22. Let t(s) be the first derivative of 11*s**2/2 + 747. What is t(g(x))?
-44*x**2 + 242
Let g(y) = 8*y. Let n(c) = 0*c + 185*c**2 + 0*c - 43*c**2 + 12*c**2. Determine n(g(f)).
9856*f**2
Let c(a) = 8*a + 10 + 2*a - 7. Let r(t) = 119*t + 35. Let p(g) = -35*c(g) + 3*r(g). Let z(f) be the second derivative of -f**4/3 + 602*f. Determine p(z(k)).
-28*k**2
Suppose -m + 17 = o + 4*o, -5*o + 15 = 0. Let c(l) be the third derivative of l**4 + 3*l**4 + 3*l**m - 5*l**4. Let y(v) = v. Determine y(c(i)).
-24*i
Let t(a) = -11*a + 97. Let d be t(7). Let i(p) = -d - 3*p**2 + 20. Let k(q) = 7*q. Give k(i(o)).
-21*o**2
Let w(y) = 2882*y**2. Let g(v) = -13614*v. What is g(w(m))?
-39235548*m**2
Let p(s) = -1154*s**2. Let v(q) be the third derivative of -q**4/8 + 899*q**2 - 1. Determine p(v(g)).
-10386*g**2
Let p(w) = 3*w**2. Let q(j) = -2846709*j**2 + 2*j - 7. Give q(p(c)).
-25620381*c**4 + 6*c**2 - 7
Let j(g) = 5*g**2 - 162 - 4*g**2 + 185. Let c(p) = p**2 + 12. Let b(x) = -5*c(x) + 3*j(x). Let f(d) = 3*d**2. What is b(f(h))?
-18*h**4 + 9
Let v(b) = -28*b**2 - 13*b + 403. Let f(c) = -13*c**2 - 6*c + 186. Let k(r) = 13*f(r) - 6*v(r). Let y(o) = -3424*o. Calculate y(k(u)).
3424*u**2
Let y be (-1)/(-4)*32/(10 + -2). Let p(d) = -y - 93*d - 36*d + 50*d. Let u(w) = 4*w. Determine u(p(k)).
-316*k - 4
Let k(f) be the second derivative of -f**4/3 + 3*f. Let m(r) be the third derivative of -31*r**4/24 + 528*r**2. What is k(m(j))?
-3844*j**2
Let b(l) = -273*l**2 - 2. Let o(u) = -14*u - 381. Determine o(b(h)).
3822*h**2 - 353
Let b(c) = 2*c. Let y(k) = -36*k + 20. Let q(s) = 13*s**2 - 5*s + 2. Let u be q(-1). Let i(n) = 12*n - 6. Let d(x) = u*i(x) + 6*y(x). Give b(d(z)).
48*z
Let q(m) = 730*m - 359*m + 158*m**2 - 371*m. Let d(z) = 2*z. Give q(d(n)).
632*n**2
Let k(z) = -z**2 - 24*z + 22. Let r(s) = -2*s**2 - 20*s + 16. Let b(t) = 5*k(t) - 6*r(t). Let a(n) = -3*n. What is b(a(j))?
63*j**2 + 14
Let y(o) = 922097 - o - 922097. Let d(g) = g**2 - 7*g - 21. Let x(l) = l**2 - 5*l - 14. Let q(j) = -5*d(j) + 7*x(j). Determine q(y(c)).
2*c**2 + 7
Let a(o) = -3*o**2. Let i(y) = -236*y + 152 + 170 - 3*y - 322. Give a(i(d)).
-171363*d**2
Let t(q) = 8*q**2. Let z(c) be the third derivative of 13*c**5/15 - 3196*c**2. Give z(t(r)).
3328*r**4
Let t(u) be the first derivative of -23*u + 0*u**2 - 37 + 1/2*u**3. Let z(h) be the first derivative of t(h). Let w(l) = -35*l**2. Give z(w(q)).
-105*q**2
Let j(f) = -1678 + 1678 + 210*f + 294*f**2. Let x(y) = -y**2 - y. Let p(w) = -2*j(w) - 420*x(w). Let a(t) = 2*t**2. Calculate a(p(v)).
56448*v**4
Let k(c) be the first derivative of 0*c**2 - 11/3*c**3 + 7 + 0*c. Let u(s) = 10*s. Let t(n) = -7*n. Let i(d) = -3*t(d) - 2*u(d). Give i(k(f)).
-11*f**2
Let m(r) = -2*r + 27. Let g be m(11). Let u(j) = -11*j - 5*j - g*j + 13*j. Let z(n) = -9*n**2. Give u(z(y)).
72*y**2
Let g(z) = -z. Let y(k) = 3*k. Suppose -5*m + 45 = 3*d - 918, 2*d + 203 = m. Let f(a) = -95*a. Let w(u) = m*y(u) + 6*f(u). Give g(w(i)).
-15*i
Let m(r) be the first derivative of 4*r**3/3 + 66. Let z(p) = -44*p**2 - 66*p + 66. Let a(y) = y**2 + y - 1. Let l(v) = -66*a(v) - z(v). What is m(l(j))?
1936*j**4
Let l(u) be the first derivative of 6*u**3 - u**2/2 + u + 1. Let h(t) = -t. Let j(m) = -h(m) + l(m). Let g(c) = -51*c + 157*c + 0*c - 51*c - 54*c. Give j(g(b)).
18*b**2 + 1
Let t(u) = 1386*u**2. Let z(h) = -324*h**2. Calculate z(t(l)).
-622402704*l**4
Let g(m) = -29*m + 2. Let l(k) be the third derivative of -25*k**4/6 - 9*k**2 + 668. Give l(g(y)).
2900*y - 200
Let l(i) be the third derivative of 7*i**5/20 + i**3/3 - 6*i**2. Let t(p) = -8*p. Let o(m) = -42*m. Let q(a) = -2*o(a) + 11*t(a). Determine q(l(h)).
-84*h**2 - 8
Let f(m) = 23*m**2 - 1027 + 17*m**2 + 1027. Let y(k) be the second derivative of -k**4/6 + k. Determine f(y(p)).
160*p**4
Suppose -7*q = -3*q. Let z(y) = q*y + 6*y - 2*y. Let a(w) = -6 - 23*w - 2 + 25*w + 8. Calculate z(a(s)).
8*s
Let m = 123 + -121. Let f(j) = 457*j - m + 2 - 502*j. Let h(g) = -4*g**2. Determine f(h(k)).
180*k**2
Let z(w) = -86*w**2. Suppose 11*s - 1037 - 11855 = 0. Let b(n) = -588*n - 585*n + s*n. Determine b(z(t)).
86*t**2
Let h(z) = 35*z | {
"pile_set_name": "DM Mathematics"
} |
- (-1 + 9).
-4
What is the value of 84 + -102 + -2 + 26?
6
What is (4 + -7 + 9 - 1) + -4 - 12?
-11
What is -3 + 1 + -2 - (-26 - -15 - -2)?
5
-1 + 1 + 24 - 14
10
6 + 0 + (0 + 6 - 24)
-12
Evaluate -5 + 9 + (-1 + 16 - 16).
3
Evaluate (-1 - 6) + 43 + -33.
3
What is -8 - 1 - (24 - 13 - 35)?
15
Calculate 1 + (-3 + 1 - 5).
-6
-8 + (-18 - (-11 + (-1 - -7)))
-21
Evaluate 5 + 4 + (7 - (9 + 16)).
-9
Evaluate 7 + 2 + (-29 - -30 - (-1 + 10)).
1
What is -8 - ((-72 - -76) + (0 - 1))?
-11
Evaluate 12 + -1 + 5 + (6 - 3) - 3.
16
-16 - -2 - (11 + -27)
2
What is the value of (30 - -34) + -29 - 19?
16
What is the value of -5 + 1 + (-13 - (18 + -29))?
-6
What is the value of -18 - (-4 - (60 + -54 + (1 - 14)))?
-21
What is the value of -5 - 0 - (-2 - (0 - 3)) - -3?
-3
Calculate (13 + -10 - (-5 - -2)) + (-12 - 2).
-8
2 + -8 + (106 - 110) + (-6 - 0)
-16
Calculate (-6 - (-17 + 14)) + 14.
11
Evaluate (3 - (1 - 0 - -4)) + 7 + -9.
-4
Calculate (4 - 24) + 63 + -28.
15
Calculate 31 + 4 + -28 + 15.
22
(-1 - 1) + -8 + (23 - 16)
-3
4 + 1 + -1 + -2 + -6 + -8
-12
What is -5 + 11 + (0 - -9) + -38?
-23
-29 + 18 + -1 + 21
9
What is (-23 - -46 - 18) + -1 + 0 + -17?
-13
(8 - 18 - 20) + 34
4
Calculate 18 + 3 - 18 - (35 + 2 + -9).
-25
Evaluate (4 - (17 + -17 - -3)) + -15.
-14
2 - -11 - (-10 - -6)
17
Calculate 13 + -32 + 21 - -13.
15
What is the value of (15 - (19 + 13)) + 11?
-6
8 + 0 + (-10 - -8) + 7
13
Evaluate 1 + -9 + (6 - (30 - 15)).
-17
What is the value of (-12 + 13 - 9) + 6?
-2
Evaluate (-5 + 2 - 2 - (-35 - -34)) + 4.
0
Calculate (14 - 0) + 80 + -88.
6
What is the value of 0 - (-4 + 23 + (1 - (-3 - -10)))?
-13
Evaluate (56 - 33) + -40 - -28.
11
14 - (-2 + 18 + -8)
6
What is 28 - -1 - 47 - (-12 - -2)?
-8
15 + 2 + -2 + 11 + -20
6
Calculate -17 - (8 + (-37 - (9 - 4))).
17
Evaluate -14 + (-21 - -32) + (9 - -1).
7
Calculate -6 + -3 + 11 + -4 - (14 - 21).
5
What is the value of (13 - -3) + (36 - 66)?
-14
What is 6 + -1614 + 1618 + (0 - (1 + 1))?
8
Evaluate -14 - (20 + (-12 + -2 - -13)).
-33
Evaluate (-2 - -7) + (1 + -2 - 7) + 1.
-2
Calculate 2 - (-8 - (4 + -31 + 14)).
-3
What is (-3 - ((14 - (-8 + 14)) + -10)) + 6?
5
-7 + -2 + 11 - 7 - 0 - 19
-24
Evaluate 10 + 41 - (21 + -6) - 9.
27
What is (10 + -3 + 1 - 8) + -15?
-15
Calculate (16 + -29 + 18 - (0 - -2)) + -7.
-4
Evaluate -16 - (0 - (-1 + -3)).
-20
(8 - (5 - 5 - -9)) + 6
5
Evaluate -11 + -3 + -2 + 2 - (42 + -49).
-7
Calculate 5 + (-5 - 6) + -5.
-11
What is 19 + (64 - 17) + -17 - (-2 - -14)?
37
What is the value of 0 + -4 + 9 + (-9 - 4) + -4?
-12
What is 1 + (31 - 84) + 26?
-26
Evaluate 30 - (28 + -10 - -1).
11
Calculate 3 + -17 + (-3 - (13 + -5)).
-25
Calculate 37 + (-16 + 2 - (-132 + 133)).
22
Evaluate -6 - (-1 + 6 - -3) - (1 - 7).
-8
What is 16 + (-11 - (-3 - 5)) + 6?
19
What is -80 + 43 - -28 - (-1 + 0 - -3)?
-11
Calculate (22 - 13) + -13 + 5.
1
Calculate -6 + (11 - ((-6 - -1) + 3)).
7
35 - (-24 + 53) - (2 + -1 + 8)
-3
Calculate 0 - -14 - 40 - -15.
-11
7 + (17 - 17) + -10 - -14
11
Evaluate 9 + -15 + (-16 - -1).
-21
1 - (-2 + 10 - (-4 + 10))
-1
What is 4 + -3 + (5 - (10 - 5))?
1
What is (19 - (-22 + 41)) + -12 + 0?
-12
What is -3 - (-18 - -2 - (-1 - -5 - -1))?
18
Evaluate -7 + (-1 + -6 + 7 + -15 - -6).
-16
Evaluate -14 - ((-25 - (11 - -1)) + 15).
8
Calculate -1 + 9 + (479 - 490).
-3
What is the value of 5 - (-57 + 51 + (19 - (2 + 0)))?
-6
188 + -197 + 4 + -22 + (-3 - -7)
-23
Evaluate (0 - (-6 - 9)) + (-2 - (-2 - 0)).
15
What is (2 - 10) + 40 + -29?
3
Calculate (-6 - -12) + (-6 - -6) + -5 + -4.
-3
What is the value of 2 + (-3 + 1 - 0 - -4 - 13)?
-9
Evaluate (-3 - -1) + (-6 - -14) - 13 - -4.
-3
What is 1 + -40 - -35 - -38?
34
What is the value of 26 - (12 + 17 + -9)?
6
-7 + 25 + -1 - 21
-4
Evaluate (10 - 18) + 44 + -1 + -12.
23
What is the value of 7 - 7 - (0 + 3 + -5)?
2
What is the value of 29 + -7 + -36 - 5?
-19
Evaluate -31 - (23 - 89 - -29).
6
Evaluate -7 + 16 + -5 + -3.
1
What is (21 - 25) + 7 + -3 + 34?
34
What is the value of (-4 - 10 - -5) + 0?
-9
What is the value of (-1 - -1) + 5 + -5 - (499 + -491)?
-8
Calculate 17 - (16 - (13 - 8)).
6
What is -17 - (-34 + 0) - 22?
-5
(-4 - -2 - 5) + 2
-5
Calculate 20 - (4 - -8 - -8).
0
5 + 6 + -15 + 6 + 4
6
What is the value of (0 - 2) + (0 - 0) + -12 + 4?
-10
Calculate 1 - -18 - (-16 + 34 + -14).
15
Calculate (-47 - (36 + -71)) + (-12 - 0).
-24
What is the value of -11 + (-9 + 10 - -3) - -27?
20
Calculate (5 - 11) + 34 - 13 - -16.
31
Calculate 2 - (29 - (17 - -8)).
-2
Evaluate -3 - (17 - (-9 - -4)).
-25
(-5 - -4) + 0 + -17 + -4 + 10
-12
Calculate -1979 + 1982 - ((0 - (-2 - 0)) + 8).
-7
What is 21 - (8 - 12 - -33)?
-8
22 + -13 + (-32 - (3 + -7))
-19
What is the value of 9 - (-26 + 1 + 36)?
-2
What is 6 - (0 + (-8 - -21) + -12)?
5
What is the value of -7 + (8 - (6 + -6)) - -2?
3
Calculate -4 + (26 - 10) + (-2 - (-3 + -1)).
14
Evaluate 25 + (-37 - 12) - -17.
-7
What is -44 + (16 - -3) + 12?
-13
What is the value of 11 + -1 - (11 + (-1 - -6))?
-6
What is the value of (-8 - 0) + -1 + 3 - (119 + -138)?
13
What is the value of 2 + (1 - 3) + -5 + 80 + -56?
19
Evaluate -16 + -21 + 23 + 21.
7
-75 + 59 + 1 + 34
19
What is the value of 27 + (-13 - 1) + -23?
-10
Calculate 23 + -5 + 13 + -18 - 36.
-23
-5 + -5 + 8 + (-13 - -6)
-9
What is -10 - (12 - (-10 - -23))?
-9
Calculate -1 + -2 + -9 + -55 + 57.
-10
0 - 5 - (-18 + 7 + 6 + 0)
0
What is the value of 20 + 11 + -6 + -16?
9
What is the value of (-16 - (-18 + 1)) + 2?
3
What is (3 + -21 + 8 - -47) + -1 + 0?
36
What is 3 + -23 + 26 - (-8 - -1)?
13
(28 - 8) + -23 + -1 + 9
5
What is -25 - -40 - 13 - (6 + (3 - 1))?
-6
What is the value of -13 - -15 - (-3 - (3 + 2 + -1))?
9
Calculate 62 - (1 - (-54 + 24)).
31
Calculate 7 + (14 - 12 - (-4 - -2)).
11
What is the value of -5 - 13 - (-35 + 26)?
-9
Evaluate -1 - -9 - (381 + -375).
2
What is -23 - -17 - (-5 + 2 + -2)?
-1
What is the value of (19 - 9) + 2 + -26 + 5?
-9
What is the value of -12 - (-3 - -9 - 6) - (-4 - -4)?
-12
Evaluate (-5 - -8) + 1 + 1 + -7.
-2
Calculate 12 - (-18 - (-46 + -3)).
-19
What is -34 + (-27 - -103) - 12?
30
Calculate -11 + 0 + (4 - (8 + (0 - 4))).
-11
Evaluate (-8 + 3 - -8) + 23 + -8 + 0.
18
What is -12 - (15 - 6 - 17)?
-4
What is the value of 0 + -3 - (-18 + 28 + -17)?
4
-22 + 6 + 15 + 0 + -6 + -4
-11
What is the value of 6 + 0 + -10 + 4 + -4?
-4
(3 + -15 + -1 - -44) + -16
15
Evaluate -55 + -30 + 54 + 7.
-24
Calculate 0 - -6 - (7 + 4 - 19).
14
What is the value of 0 + 0 - 1 - ((8 - 8) + 3)?
-4
What is the value of -37 - ((-2 - -37) + -40)?
-32
Calculate -9 - -45 - 37 - (17 + 3).
-21
What is 10 - ((-6 - -16 - 22) + 33)?
-11
Calculate -5 + (-2 - (-5 - -5 - (3 + -2))).
-6
What is the value of 0 - (0 - (-4 - -7 - -2))?
5
Calculate -117 - -116 - (0 - -14).
-15
What is 20 + -2 - (1 + 8 + 2 - 2)?
9
What is -2 + -8 - -15 - -7?
12
Evaluate 2 - (-15 + 9) - (-4 + (-2 - -2)).
12
What is 2 - ((-11 + -6 - -8) + 6)?
5
Evaluate (-14 - -2) + -6 + 15.
-3
What is 22 + 19 + -29 + 4?
16
532 - 543 - (-1 + (-6 - -1))
-5
(-8 - ((-2 - -1) + -1)) + -180 + 199
13
-6 + 5 + -13 + 16 - (-1 + -1)
4
16 + -8 - (1 + -1 + 0 - 0)
8
(4 - 8) + -6 + 6 + 15
11
What is 11 + -34 + (-7 - -2) + 7 + -10?
-31
Evaluate 4 + -27 + 4 - (-11 + 1).
-9
Calculate 22 + (-4 - 2 - -1) - 2.
15
What is -1656 + 1644 - (27 + 0)?
-39
Evaluate (7 + (-6 - 0) - 4) + 1.
-2
11 - 5 - ((-3 - -12) + -6)
3
4 + 1 - (3 + (8 - (4 - -7)))
5
Calculate -11 - (1 + -10 - ((15 - 8) + -11)).
-6
What is the value of 20 - 23 - (-2 - -1)?
-2
What is the value of -6 + (7 + -10 - 4)?
-13
Evaluate -6 - -8 - (-4 + 4) - (-13 - 2).
17
What is the value of 3 + -7 + -2 + 0 + (11 - 1)?
4
Evaluate 3 - 2 - (-1 - 9 - -4) - 18.
-11
What is the value of (-11 - -1) + -185 + 188 + 6?
-1
What is (-4 - -10) + -15 + 5 - (12 + -25)?
9
(-12 + 14 - -8) + 13 + -13
10
Evaluate (-9 - -3 - (-3 - -27)) + -39 + 35.
-34
What is the value of -23 - ((15 - 11) + -2 - 2)?
-23
What is the value of 5 + -1 + 0 + -2 + (2 - 2)?
2
Evaluate 1 + 5 + (-8 - (-14 + 11 + -1)).
2
What is 27 - (5 + 2 - 3) - (-22 + 23)?
22
What is (2 - -8 - -11) + (-20 - (-24 - -12))?
13
35 - (-6 + -8 - -13 - -4)
32
Calculate -18 - (-23 + 12 - -11).
-18
4 - 1 - 0 - (20 - (20 + -17))
-14
What is the value of 28 - (-16 - (-79 - -32))?
-3
Calculate -2 - (-18 - (4 + -4) - (-28 + 22)).
10
What is the value of -8 - -15 - (4 - (-3 | {
"pile_set_name": "DM Mathematics"
} |
biggest value? (a) -0.3 (b) 64352 (c) -26 (d) -0.1
d
Which is the smallest value? (a) 1/3 (b) 2 (c) -38 (d) -30
c
Which is the second smallest value? (a) -13/67 (b) 42 (c) -0.1
c
What is the fifth biggest value in -1, 136, 2/13, 0.74, -2/3?
-1
What is the sixth smallest value in -6/419, -0.1, 1/3, 2/5, -0.3, -0.4?
2/5
Which is the second biggest value? (a) -2/19 (b) 1/4 (c) 69/2 (d) 0.4
d
What is the second biggest value in 6/71, 1.3, 3, -0.4, 5?
3
Which is the second smallest value? (a) -3 (b) 992 (c) 15/2 (d) 4
d
What is the biggest value in 2.434, -0.2, -348?
2.434
What is the fourth smallest value in 3, -5, -7, -119?
3
Which is the third smallest value? (a) 0 (b) 3 (c) 21946
c
What is the biggest value in 1029452, 4, -1?
1029452
Which is the third smallest value? (a) 2/7 (b) -0.05332 (c) -2
a
Which is the second biggest value? (a) 0.4 (b) -272 (c) 0.2
c
What is the third smallest value in 2/3, 1, -6.314?
1
What is the fourth biggest value in 2, -3, 2/187, 92/7?
-3
What is the smallest value in -0.2, -0.1, 27/11?
-0.2
What is the second biggest value in 3/7, -2, 3/5, 300, 1?
1
What is the smallest value in 89, 95, -4.7?
-4.7
Which is the fourth biggest value? (a) -3/8 (b) 0.4 (c) -4/565 (d) 4
a
What is the second smallest value in -2/5, 1/2, -89?
-2/5
Which is the sixth smallest value? (a) -1 (b) 7560 (c) 2/11 (d) -2/15 (e) 0 (f) 1/5
b
What is the fourth smallest value in 60.8, -1/4, -1, -7, 0?
0
What is the third smallest value in -3/68, -172, -0.13?
-3/68
Which is the fourth smallest value? (a) -37 (b) -3 (c) -0.322 (d) 3
d
Which is the fourth biggest value? (a) 5 (b) 4/63 (c) 0.2 (d) 69 (e) -5 (f) -1
b
What is the second biggest value in -6065, 2, 0.2, -4, -1/3?
0.2
What is the biggest value in -4, 1/30, 2, -3.6, -1/3?
2
What is the second smallest value in -5, 2262/7, -2/15?
-2/15
Which is the second biggest value? (a) 3/8 (b) -0.086 (c) -1/29 (d) -2
c
Which is the fourth smallest value? (a) 11 (b) 268 (c) 0.3 (d) -5
b
What is the second smallest value in 1, -2.78, 1/3, 86?
1/3
Which is the fifth smallest value? (a) 1 (b) 5 (c) 15 (d) 6/23 (e) -42
c
Which is the fifth smallest value? (a) -0.01 (b) -1/2 (c) 5 (d) 153 (e) 4
d
Which is the fourth smallest value? (a) -0.044 (b) 0.1 (c) 1/2 (d) 342/13
d
What is the smallest value in -4/13, -1/2, 1429?
-1/2
Which is the second biggest value? (a) 3 (b) 0.4 (c) -0.81
b
What is the third smallest value in 9/2, 0, -6/7, 58.57, -0.1?
0
What is the biggest value in -2, -0.4, 4540, 5, -2/11, -1?
4540
What is the third smallest value in -132, 125, -2?
125
Which is the fifth biggest value? (a) -30 (b) -6 (c) -0.1 (d) 2 (e) -2/3 (f) 1
b
What is the fifth smallest value in 0.04, 2/21, -5, -11, 4, -9?
2/21
What is the fifth biggest value in -0.4, -2824, -4, -3, 3/17?
-2824
Which is the fourth biggest value? (a) -3 (b) -0.3 (c) 4 (d) -3/7 (e) 3917/12
d
Which is the fourth smallest value? (a) 1 (b) -5/2 (c) 310889 (d) 0 (e) 2
e
Which is the biggest value? (a) 0.2 (b) 2996 (c) -6 (d) -0.3
b
Which is the biggest value? (a) 1/11 (b) -0.216237 (c) -1/2
a
Which is the fifth biggest value? (a) 0 (b) 8 (c) -7/2 (d) 10 (e) 0.2
c
Which is the smallest value? (a) -2/21 (b) -2 (c) 1/5 (d) -6/17 (e) 3 (f) -0.08
b
What is the third smallest value in 6/11, 4, 0.857?
4
What is the sixth smallest value in 1, -11/5, -1, 4/7, -1/4, 2433/5?
2433/5
Which is the third biggest value? (a) 314/5 (b) -0.11 (c) 0.2
b
What is the fourth smallest value in 1, -2/13, 5, -86182?
5
What is the second smallest value in -5, 2/3, 6, -0.3, 477?
-0.3
What is the smallest value in -7, 0.4, -47, -5/6, -0.1, -4?
-47
What is the smallest value in -20/49, -1286, 0.3?
-1286
What is the smallest value in -3, -42, -673, 0.05?
-673
Which is the third smallest value? (a) 12 (b) -0.2 (c) -2032
a
Which is the second biggest value? (a) 25.8 (b) 5 (c) -1
b
What is the third smallest value in -448, -3, -22, -1/6?
-3
What is the second smallest value in 11/5, -101, -0.2, 4, 0.4?
-0.2
Which is the fourth smallest value? (a) -2 (b) -25 (c) 3/235 (d) 1
d
What is the third smallest value in -2, 38338, 5?
38338
What is the fifth biggest value in -2, -10, 0.4, 1, -5/4?
-10
Which is the smallest value? (a) -2/5 (b) 0 (c) 3 (d) 6/19 (e) 0.08
a
Which is the third smallest value? (a) -43 (b) 0 (c) -0.4 (d) -3 (e) 14/25
c
Which is the second biggest value? (a) -891 (b) -2 (c) 8 (d) 2/7
d
What is the second smallest value in 0.4, -0.399, -7/2, 10?
-0.399
Which is the second smallest value? (a) -54793 (b) -2 (c) -2/3
b
What is the smallest value in -0.096, 60, -19, 2/3?
-19
Which is the second biggest value? (a) -4 (b) -23 (c) 4.2
a
Which is the second biggest value? (a) -12 (b) 0.4 (c) 1018 (d) 2/11 (e) 0.03
b
Which is the third smallest value? (a) -1 (b) -17475 (c) -89
a
What is the third biggest value in 0.2, 2/19, 1/4, 4, -0.2?
0.2
Which is the third smallest value? (a) -0.2 (b) 3 (c) -5 (d) 32 (e) 4/15 (f) -0.1
f
Which is the third smallest value? (a) -5 (b) 1 (c) -1.1 (d) 7
b
Which is the smallest value? (a) 1/11 (b) -4/2475 (c) 1.5
b
What is the smallest value in 14, -6, 77, -2/15, -0.4?
-6
What is the second biggest value in 29/13, 17, -1?
29/13
What is the third smallest value in -0.053, -5, -1.6, -13?
-1.6
What is the second biggest value in -60, 44, 4/5?
4/5
What is the third biggest value in 0, 5, 2421/5, -0.6?
0
What is the biggest value in -8.1, -85, -0.07?
-0.07
What is the fourth smallest value in 1/2, 16, 12.4, 2, 0.2?
12.4
Which is the second smallest value? (a) 11 (b) -6/11 (c) 2 (d) 252 (e) -1
b
Which is the fifth biggest value? (a) 0.06 (b) 1/7 (c) 5 (d) -63 (e) -0.2
d
What is the smallest value in -0.1401, -2, -0.5?
-2
What is the third biggest value in -2553, 0.098, -1?
-2553
What is the fourth biggest value in 0.5, 70.1, 0.066, 3?
0.066
Which is the smallest value? (a) 194 (b) -0.04 (c) -16
c
What is the smallest value in 2/19, 4, 5, 0.020561, 2?
0.020561
Which is the third smallest value? (a) 2 (b) 1/6 (c) -3 (d) 0.26 (e) 0.01
b
What is the smallest value in -2/5383, -1/8, -4?
-4
What is the fourth biggest value in 2/41, -3975, 2, -1/2?
-3975
What is the fourth biggest value in 3/8, -16, -54/5, 5, -1?
-54/5
Which is the third biggest value? (a) -3 (b) -4 (c) -5 (d) 3 (e) -1207 (f) -0.1
a
What is the third biggest value in -15, 0.05, 3, -2, -103, 5?
0.05
Which is the second smallest value? (a) 31 (b) -0.5 (c) -17/3 (d) 2
b
Which is the second smallest value? (a) -2/15 (b) 0 (c) 0.37 (d) -224
a
What is the third smallest value in -2/321, 0.5, 2.2?
2.2
Which is the fourth smallest value? (a) 85 (b) -4 (c) 3 (d) 0.2 (e) -0.3 (f) -0.4
d
Which is the fourth smallest value? (a) 4 (b) -6 (c) 29/4 (d) -5 (e) -0.16 (f) -1/4
e
What is the second biggest value in 3, 1, 109, -0.4, -5, -1?
3
Which is the third smallest value? (a) 8 (b) 32 (c) -1980
b
Which is the smallest value? (a) 1.7 (b) 0.04 (c) -22.71
c
Which is the biggest value? (a) 1/9 (b) 0.004 (c) 107 (d) -2/5 (e) 2
c
Which is the second smallest value? (a) 12/11 (b) 4 (c) 22/3 (d) -4
a
What is the third biggest value in -466, -9, -3/2, -3/5?
-9
What is the fourth biggest value in -0.3, 23, -2/17, 2/13, -1, 0.4?
-2/17
Which is the biggest value? (a) -105568 (b) -9 (c) 1/2
c
Which is the third smallest value? (a) -1.5 (b) 13.6 (c) -4 (d) 0
d
What is the biggest value in 9.9, 0, 2/3, 1/12, 4, 0.02?
9.9
What is the smallest value in -1, 125.3, -282?
-282
Which is the fifth biggest value? (a) -3/124 (b) -4 (c) 0.06 (d) -1 (e) 0.03
b
Which is the smallest value? (a) 0 (b) -268 (c) 2/25
b
Which is the fifth biggest value? (a) 0 (b) -7 (c) 2/15 (d) 1/33 (e) -1
b
What is the smallest value in -11, -1/6, -84?
-84
Which is the third smallest value? (a) 2560/3 (b) 3 (c) 0.2 (d) 1/2
b
Which is the sixth biggest value? (a) -4 (b) -1 (c) -2 (d) 3845 (e) 4 (f) 2
a
Which is the biggest value? (a) -1 (b) 276 (c) 2/23 (d) 1 (e) 0.5
b
What is the second biggest value in -3, -6, 0.1, 1, 25/4?
1
What is the fourth smallest value in 2.5, 5, -2, -0.05?
5
What is the | {
"pile_set_name": "DM Mathematics"
} |
3
e
Which is the biggest value? (a) -2/3 (b) -7 (c) -0.1317 (d) 5/3
d
Which is the biggest value? (a) -7552342 (b) 5 (c) -1
b
What is the second smallest value in -18, -0.04, -2/5, 191, -0.5, -0.9, -0.1?
-0.9
What is the sixth biggest value in 1.56, 2, 1, -0.5, 1/2, -1/9?
-0.5
Which is the fourth biggest value? (a) 1/6 (b) 1 (c) -2/69 (d) 2 (e) 174
a
What is the second biggest value in -0.5, 12960.56, 2?
2
Which is the second smallest value? (a) -13/27210 (b) 13 (c) -3
a
What is the sixth biggest value in -1, 2/21, 1, 3, 1/4, -182.3, 1.1?
-1
Which is the fifth biggest value? (a) 0.28 (b) 3/8 (c) 0.16 (d) -0.4 (e) 107/7 (f) -0.3
f
What is the fifth smallest value in -2, 2, -0.8, 0, -0.2, 1/3, 3124/3?
1/3
What is the second smallest value in -0.3, -3, -8/1969, -2, -0.15?
-2
Which is the biggest value? (a) 0.4 (b) 2/13 (c) 0.0047 (d) -1/6 (e) 2.09 (f) 4
f
Which is the seventh biggest value? (a) 1/4 (b) -4 (c) 2/4575 (d) 2/5 (e) -0.3 (f) 19 (g) -4/5
b
Which is the third smallest value? (a) -0.2 (b) 29/9 (c) -0.04 (d) -38 (e) -2 (f) 0 (g) -1/7
a
Which is the third smallest value? (a) 3 (b) -2467487 (c) -0.05
a
What is the smallest value in 5, -38, -2, 16, 14, -14?
-38
What is the third biggest value in -2, -1017/2, -0.5, -11.47?
-11.47
What is the second smallest value in 2, -1/24, 0.1062691?
0.1062691
What is the sixth smallest value in 1528, 4, -4, 0.03, 2/3, -2/15?
1528
Which is the third smallest value? (a) 195 (b) -5/9 (c) -977
a
What is the biggest value in 2, 1137, -1.22, 3?
1137
What is the second biggest value in -0.013, -211.1, 40?
-0.013
What is the sixth biggest value in 6, 7, 1/11, -10/9, 2/11, 4, 0.03?
0.03
What is the second smallest value in -2/531, -52/21, -0.4?
-0.4
Which is the third biggest value? (a) 0.2 (b) 3 (c) -2 (d) -160 (e) -3 (f) 38/7
a
What is the fourth biggest value in 8, 0.1, -140, -0.3, -7?
-7
What is the third smallest value in 0.01, -2/3, 90, 0, 4, -2?
0
Which is the third biggest value? (a) 0.29 (b) 0.3 (c) -2 (d) -153 (e) 1/5
e
What is the second biggest value in -953/2, 7.3, 2, -1/3?
2
Which is the third smallest value? (a) 0.2 (b) 0.0042 (c) -395 (d) 1/3 (e) 1/2
a
What is the third biggest value in -5, 2.9377, -2, -0.06, 2/17?
-0.06
Which is the third biggest value? (a) 998 (b) -367 (c) -0.4 (d) -8
d
What is the fourth smallest value in -0.4, -84550, 3, 1.7, -2?
1.7
Which is the second smallest value? (a) -0.2 (b) -4560 (c) -2/3 (d) 2/5 (e) 5 (f) -2/253
c
What is the fifth biggest value in -0.2, 3/4, -9, -2731/5, -2/25?
-2731/5
Which is the second biggest value? (a) 0.14 (b) -3 (c) 238 (d) -27 (e) 1
e
Which is the third biggest value? (a) -5 (b) -10 (c) 5 (d) 2 (e) -1 (f) 222 (g) 157
c
Which is the second biggest value? (a) 164.69 (b) -0.777 (c) 0.2
c
Which is the third smallest value? (a) -0.04 (b) 34.75 (c) 44 (d) 1/10
b
What is the fourth smallest value in 47/9, 1/5, -4, -11/215?
47/9
Which is the fifth smallest value? (a) 11745 (b) 3 (c) 0.1627 (d) 1 (e) 2/7
a
What is the third biggest value in -27/5, -3/2, -0.4, -0.3, 1455, 1?
-0.3
What is the fourth biggest value in 2/159, -7.4, -0.1, -1/5?
-7.4
Which is the fourth biggest value? (a) 2/5 (b) 5 (c) -26/3 (d) -1 (e) -5 (f) 6 (g) 11
a
Which is the fifth biggest value? (a) -0.01 (b) -0.3 (c) 2/7 (d) -3 (e) 239 (f) 0.11 (g) 24
a
Which is the fifth biggest value? (a) -6 (b) -2.9 (c) 2/7 (d) 15/2131 (e) 5/2
a
Which is the second smallest value? (a) 0 (b) -225 (c) -2/11 (d) 8/7 (e) 0.3 (f) -154
f
Which is the smallest value? (a) -0.1 (b) -1 (c) -0.13 (d) -1072 (e) -0.5 (f) -0.15
d
Which is the third smallest value? (a) 105 (b) -34/231 (c) 0.4 (d) 2 (e) -2
c
What is the seventh smallest value in -1, -0.1, 1, 2/5, -121, -0.03, -700.8?
1
What is the third smallest value in 82, -1/3, 1/4, -0.1, -5, 1/5, 31?
-0.1
What is the fifth smallest value in 0.3, 5, -4.6, -3, -469?
5
Which is the smallest value? (a) 1.6 (b) 56 (c) 1/3 (d) 3 (e) -2 (f) 145
e
What is the sixth smallest value in -3/5, 1/4, 2/9, -7079/6, -19, -5, -4?
2/9
Which is the smallest value? (a) -6 (b) -2.92 (c) 2/57 (d) 52.4 (e) -4
a
Which is the smallest value? (a) -0.1 (b) -198 (c) 12/5 (d) -3 (e) 18
b
What is the sixth smallest value in -87, 2/9, 10, 0.04, -13, -4?
10
Which is the third smallest value? (a) 208 (b) 345 (c) 99
b
What is the smallest value in 3/32, 0.822, 1, 7, -4?
-4
What is the second smallest value in 3/7, 0.04, -265914, -0.6, -4?
-4
Which is the second smallest value? (a) 4 (b) 1/2 (c) -4 (d) 229 (e) 1 (f) -46
c
What is the smallest value in -1, -0.0087, 10/9, 3/935?
-1
Which is the smallest value? (a) 2/19 (b) -4 (c) -3 (d) 239 (e) -0.3 (f) 1/30 (g) -5
g
What is the biggest value in 1/4, 7, 10077154?
10077154
What is the biggest value in -92263, -1/4, 4?
4
What is the fourth biggest value in -4, 46, -2, 26653?
-4
What is the second smallest value in 1/4, -0.08436, -1/53?
-1/53
What is the fourth biggest value in -4, 1089, -17762, 5/6?
-17762
Which is the fourth biggest value? (a) -0.1705 (b) 95.7 (c) 3 (d) 5/3
a
Which is the fourth smallest value? (a) -23 (b) 421 (c) 0.5 (d) 1/4
b
What is the third biggest value in 3/7, -7, -5/4, 3194?
-5/4
What is the second biggest value in -2, 0, 2.1, -1217, 2, -2/7?
2
Which is the fourth smallest value? (a) 0.5 (b) 228 (c) 0.1 (d) -3/7 (e) 4 (f) -0.04 (g) 1/7
g
Which is the second biggest value? (a) -26/17 (b) 13964 (c) 4 (d) 0.3
c
What is the third biggest value in 1/6, 4, -8125.462?
-8125.462
Which is the biggest value? (a) 54.59 (b) 2 (c) 0 (d) -3.3
a
Which is the fifth smallest value? (a) 21 (b) 3 (c) 29 (d) -16/9 (e) 0.13
c
What is the third smallest value in -0.5811, -45, 83/9, 2?
2
Which is the smallest value? (a) -2508/223 (b) -0.4 (c) -2/7
a
Which is the fourth biggest value? (a) 3/2 (b) -2/1857 (c) 1 (d) -2/3 (e) 5 (f) 47.6
c
What is the smallest value in 5, 4636/7, 3/100, 2, -2, 0.5?
-2
Which is the smallest value? (a) -188006 (b) 15 (c) -0.1 (d) 0.2
a
What is the biggest value in 19/9, -3/7, 758, -2, 2?
758
Which is the third biggest value? (a) 9 (b) -3/13 (c) -0.81 (d) -1.486
c
What is the third smallest value in -3, -1/5, -13/25, -5, -190?
-3
Which is the third biggest value? (a) -3 (b) 2 (c) 2/17 (d) -1.89 (e) -5 (f) 9
c
What is the smallest value in 2, 18, 51880?
2
Which is the second smallest value? (a) -4 (b) 2/5 (c) 3 (d) -0.3 (e) 1444 (f) -9
a
Which is the sixth biggest value? (a) -65 (b) 2/7 (c) 52.6 (d) -4/9 (e) -0.5 (f) -3
a
Which is the third smallest value? (a) 15 (b) -4 (c) 2 (d) -0.4 (e) 3.544 (f) -1/4
f
Which is the second smallest value? (a) 11 (b) -2/7 (c) 5 (d) 109360 (e) 1
e
What is the third biggest value in -581356.3, 4, -2?
-581356.3
Which is the second smallest value? (a) -61.77 (b) -0.4 (c) -6 (d) 0.0255
c
What is the second biggest value in -527/516, 2/15, -77, 1, 2?
1
What is the third biggest value in 1.8, -2, -180, 0.191, -0.4?
-0.4
Which is the third smallest value? (a) -36843 (b) 6/37 (c) -0.2
b
What is the fourth smallest value in 24, -3, 2/15, -459.25, -2/7, 0.03?
0.03
Which is the fourth biggest value? (a) -0.1 (b) 0.1 (c) 4 (d) -7926/7
d
What is the fourth biggest value in -2/149, 7, -3/7, -785?
-785
Which is the second biggest value? (a) -3 (b) 29048 (c) -6 (d) -134
a
Which is the fourth smallest value? (a) -166/3 (b) -22 (c) -2/19 (d) -3 (e) -367 (f) -2/5
d
What is the second smallest value in 0.1, -4, 23, 14, -1/3, 2, -3/62?
-1/3
What is the third smallest value in -4, 15/11, 16, -154, -4/7?
-4/7
What is the third smallest value in -0.5, -0.06, 0.091, -24, -0.07, -1, 2/5?
-0.5
Which is the fourth smallest value? (a) 17 (b) -3 (c) 0.3 (d) 94921 (e) -1
a
What is the smallest value in 1/3, 5, -6, -196817?
-196817
Which is the third biggest value? (a) -0.1 (b) -1.9 (c) 31/80948
b
Which is the fourth smallest value? (a) -172/29 (b) 10 (c) 1/3 (d) -1018
b
What is the second smallest value in 5/33, -0.4, 1668, 0.5, -25?
-0.4
Which is the second smallest value? (a) 0.42041 (b) 1020 (c) 2/21
a
Which is the fifth smallest value? ( | {
"pile_set_name": "DM Mathematics"
} |
61356074
-44345989 times 0.25
-11086497.25
-1.8*419424
-754963.2
Calculate -51864.64*-0.036.
1867.12704
Product of 140.929 and 431.
60740.399
Multiply 149483787 and -0.3.
-44845136.1
0.2784 * -5.88
-1.636992
3656.72 times -0.3
-1097.016
Multiply -2 and 22600.684.
-45201.368
What is -3 times -0.267082?
0.801246
Multiply -177 and -0.0254982.
4.5131814
Work out 156995 * -0.068.
-10675.66
Work out 0 * 12855950.
0
What is 17537 times -14.8?
-259547.6
6.271358*89
558.150862
-3 times -108.269565
324.808695
Work out 6483990 * -0.04.
-259359.6
-726*49.2
-35719.2
What is the product of 71618.6 and 1.6?
114589.76
Product of 1.513454 and 1173.
1775.281542
-0.7 times 242223.7
-169556.59
Product of -2 and 265014.677.
-530029.354
-2.773 * -15.0404
41.7070292
-61195 * -133
8138935
-35 times 274900
-9621500
Calculate 0.2041*-3918.42.
-799.749522
Product of 3.92 and -587225.
-2301922
What is the product of 3097197 and -31?
-96013107
-0.88*24266
-21354.08
18664 times 368
6868352
What is 5589 times 31.6?
176612.4
What is the product of -8 and -3212297?
25698376
Multiply 0.0764308 and 33.
2.5222164
What is the product of 308 and -641746?
-197657768
Product of 52677 and 171.
9007767
Calculate 0.26*-2697301.
-701298.26
Product of 0.2 and 2216215.
443243
-4.734355*-0.4
1.893742
What is the product of 3000 and 5.417?
16251
0.1276 * 134.6
17.17496
Calculate 2203.5802*0.4.
881.43208
What is -2958 times 464.4?
-1373695.2
What is 2 times 867632?
1735264
Calculate 4693.32*-28.6.
-134228.952
What is the product of 0.4 and -651.09213?
-260.436852
Work out 3 * -3164565.
-9493695
Work out -1.985 * -3766.
7475.51
Calculate -18988340*-0.01.
189883.4
Calculate -6363.8*2575.
-16386785
Product of 10131 and -97.3.
-985746.3
-34053971 * 2
-68107942
-0.26 * -865432
225012.32
What is the product of 2374.9082 and 0.1?
237.49082
7 * -406017.9
-2842125.3
What is the product of 0.04516 and 74?
3.34184
What is the product of -178227978 and -0.2?
35645595.6
Product of 0.2 and 102681616.
20536323.2
What is the product of -18.47234 and 0?
0
Product of 46 and -17.42828.
-801.70088
Work out -21.345 * -79.
1686.255
7135716*0.3
2140714.8
What is the product of 72.378 and -4.7?
-340.1766
Product of -0.1 and 2489706.
-248970.6
-0.0164 times 216.234
-3.5462376
Multiply 0.872897 and -1.4.
-1.2220558
Multiply -0.9 and 110.393308.
-99.3539772
14752 times 242.95
3583998.4
Product of 185946 and -0.118.
-21941.628
Product of 0.6977 and -906.
-632.1162
2204 times -41532
-91536528
82431 * 1082
89190342
-10 * -0.0695
0.695
4941373*-0.38
-1877721.74
878.0095*-3
-2634.0285
Multiply -64471656 and 0.1.
-6447165.6
Work out -0.008 * -360097.2.
2880.7776
Multiply 0.5300512 and 1.3.
0.68906656
27.888*-12301
-343050.288
Work out 2097975 * -36.8.
-77205480
What is -70475.04 times 3?
-211425.12
Product of -0.4 and 1093.3695.
-437.3478
Product of 4298913 and 0.1.
429891.3
-1444268*-0.1
144426.8
-1344 * 305.811
-411009.984
Calculate -2906977*6.
-17441862
Product of -0.7 and -724018.
506812.6
What is the product of -48107675 and 0.4?
-19243070
Work out -87 * 48330.
-4204710
Multiply 69 and -22505.6.
-1552886.4
-5.57 times -54695
304651.15
Multiply 0.1024644 and 3.
0.3073932
What is the product of -67547 and 242?
-16346374
0.212 times -692148
-146735.376
What is 646.06305 times 0?
0
0.1*18295282
1829528.2
56087587 * -14
-785226218
69 * 55895.3
3856775.7
What is the product of -166979542 and -4?
667918168
Product of 517 and -0.197.
-101.849
Work out -2362385 * 0.23.
-543348.55
Work out 0.2 * 5847477.
1169495.4
What is -1746.6 times -489?
854087.4
Multiply -0.0041 and -8111.5.
33.25715
Work out 0.8 * -0.1881982.
-0.15055856
Product of -1489259.6 and -1.3.
1936037.48
Product of -41700190 and 0.
0
-128059062 times -0.3
38417718.6
Multiply 72243 and 0.66.
47680.38
-561293 * 0.2
-112258.6
5.9*-178863
-1055291.7
Calculate -164325*260.
-42724500
Product of -5.0895 and 871.
-4432.9545
What is the product of 8 and 0.8923305?
7.138644
What is -2.018 times -281200?
567461.6
1.6 times -22688762
-36302019.2
What is the product of 0.1 and 63.5133?
6.35133
What is -2028 times -244746?
496344888
Product of -51.7 and 99723.
-5155679.1
Product of 0.66963 and -10764.
-7207.89732
What is the product of 1.1 and -0.14744103?
-0.162185133
What is the product of -7258 and 7516?
-54551128
What is the product of -532.68 and -0.762?
405.90216
What is 16 times 47.51561?
760.24976
Multiply 0.1649 and 7.6.
1.25324
Work out -818.1523 * 5.
-4090.7615
106.98936 * -5
-534.9468
Multiply 156 and -124611.
-19439316
46367117*4
185468468
Work out 0.169 * -7154278.
-1209072.982
-76714600 times 0.1
-7671460
Work out 488.01296 * -0.3.
-146.403888
Calculate -398789806*-0.4.
159515922.4
Calculate 560*3843.58.
2152404.8
-142569132*-1
142569132
Product of -0.00922 and -0.206822.
0.00190689884
-177 times 13892
-2458884
0.7*-0.1386
-0.09702
What is the product of 0.97113 and -25?
-24.27825
Product of -37.7 and 1.1195.
-42.20515
510 times -1.227
-625.77
6 * 0.84957
5.09742
3181189.4 * -0.3
-954356.82
Multiply -1.38 and -7.49748.
10.3465224
Work out 2.61483 * 1.
2.61483
Calculate 0.3*2410.777.
723.2331
Calculate -2169*-6.698.
14527.962
What is -1199945 times 2.6?
-3119857
Work out 0.16937067 * -7.1.
-1.202531757
What is the product of 965158.14 and -2?
-1930316.28
Work out -9.2 * -20.83249.
191.658908
Multiply -5467460 and 16.
-87479360
Multiply 240.26 and 1120.
269091.2
What is 1693042.25 times 0.1?
169304.225
Multiply 2.664095 and -16.
-42.62552
Calculate -0.536876*-28.4.
15.2472784
-2587.032 * 3
-7761.096
What is the product of 293301 and 4.7?
1378514.7
What is 11412 times 0.22446?
2561.53752
Multiply 3042181 and -19.
-57801439
Product of -0.6 and -8104514.
4862708.4
Multiply -7785 and 0.705.
-5488.425
Product of -0.5 and 13720932.
-6860466
0*-148.66903
0
Calculate -0.04*-443.8.
17.752
-4.2 times 195555
-821331
What is the product of -1114 and -0.076511?
85.233254
What is the product of 2154724 and -0.2?
-430944.8
Multiply 23803601 and 1.2.
28564321.2
Product of 239 and 2387.
570493
-16177616 times 2
-32355232
Calculate -4*134.134.
-536.536
Calculate 736.56*-71.
-52295.76
Multiply -5341.2 and 229.8.
-1227407.76
Product of 0 and 5718163.
0
What is 0.02 times -34448866?
-688977.32
Product of 392816 and 0.13.
51066.08
Work out 1734939 * -0.258.
-447614.262
48.5 * 21.7241
1053.61885
Multiply -31974144 and -0.3.
9592243.2
Multiply 2593.3 and -2439.
-6325058.7
Multiply 5 and -13347899.
-66739495
Calculate 25614143*4.
102456572
What is the product of 374.869 and 0.044?
16.494236
Calculate -0.00694*2.7283.
-0.018934402
Multiply 0.4288 and -11032.
-4730.5216
Multiply -0.06 and 3359465.
-201567.9
What is -2.2 times -2.4526507?
5.39583154
Product of -4 and 53.43351.
-213.73404
What is 0.3 times 0.58364685?
0.175094055
Product of -2830860.74 and -1.
2830860.74
-244 * 36329
-8864276
121 times 2508303
303504663
What is -8 times 22953370?
-183626960
-427269*1.8
-769084.2
1 * -25360397
-25360397
-4 * -4.640566
18.562264
Product of -10.0352 and -592.
5940.8384
0.102841 * 0.057
0.005861937
Multiply 38001658 and -2.
-76003316
-42 times -100818
4234356
Work out 2 * 10824447.1.
21648894.2
Product of 39256504 and -0.4.
-15702601.6
Calculate -3035821*23.
-69823883
-4*3357490
-13429960
What is 18.54 times -0.05971?
-1.1070234
14376*1234
17739984
What is the product of 7 and -2391201?
-16738407
Work out 183 * 4426.3.
810012.9
What is the product of -11574 and -534?
6180516
Multiply 8.2 and -3.90998.
-32.061836
-2.93 * 230677
-675883.61
Work out -0.095 * -0.237507.
0.022563165
Product of 17853 and 0.163.
2910.039
Multiply 4 and 1708.382.
6833.528
What is 0.2966 times -6876?
-2039.4216
What is the product of 1463 and -0.02198?
-32.15674
Calculate -474213.34*0.4.
-189685.336
What is the product of 0.273 and 0.041238?
0.011257974
Work out -0.7 * 84551.77.
-59186.239
0.06 * 29292207
1757532.42
20*857348
17146960
10758 times 3001
32284758
What is the product of 2 and 5882518?
11765036
What is -364087 times 0.017?
-6189.479
-16.6 times 0.14822
-2.460452
54404*803
43686412
What is -93 times -0.0696?
6.4728
What is the product of 2277 and 275?
626175
Multiply -0.1 and 23843116.
-2384311.6
Work out 15930974 * -0.06.
-955858.44
Product of -0.03531 and -7099.
250.66569
Calculate -14*6799.
-95186
Produc | {
"pile_set_name": "DM Mathematics"
} |
What is the nearest to 0.2 in 2/13, 5, 0.017?
2/13
Which is the closest to -0.1? (a) 1/2 (b) 0.3 (c) -0.094
c
Which is the closest to 1? (a) -2/9 (b) 2/3 (c) 0.5 (d) 0.04
b
Which is the closest to 1? (a) 2.4 (b) 2.8 (c) 2/15 (d) 1/4
d
What is the nearest to 14 in 1/2, -1, 0, -0.4?
1/2
What is the closest to -2/5 in 3/2, -0.05, 0.1, -0.3?
-0.3
Which is the closest to 11? (a) 3 (b) -2 (c) -0.4 (d) -3/5
a
What is the nearest to -0.056 in 0, -0.5, -2/5?
0
What is the closest to 4 in 2/11, 2/7, 0?
2/7
Which is the closest to -1? (a) -4 (b) 1 (c) 4 (d) 2/15
d
What is the closest to 0.1 in -14/9, 1/5, -55, -3?
1/5
Which is the nearest to -0.1? (a) -2/75 (b) 3 (c) 0 (d) 1
a
Which is the nearest to 0.2? (a) -3 (b) 6 (c) -2/17
c
What is the nearest to 0 in -0.07, 3/7, -2/7, 0.4?
-0.07
Which is the nearest to 5? (a) -0.4 (b) -0.5 (c) 8 (d) -5
c
What is the closest to 1 in -12, -4, -1/2?
-1/2
Which is the closest to -0.49? (a) 1/4 (b) 3 (c) 0.3
a
What is the closest to 4/3 in -2/13, 2/21, 45?
2/21
What is the closest to 4/7 in 0, -2/9, -0.2?
0
What is the closest to -0.2 in 47/3, 3, -1, -4?
-1
Which is the nearest to 0.1? (a) 0.2 (b) -1/3 (c) 1 (d) -9
a
What is the nearest to 0 in -3, -0.23, 0.2?
0.2
What is the closest to 1/4 in -1/3, 6, 126, 1?
-1/3
Which is the closest to 0.1? (a) -2/9 (b) 0.5 (c) 14 (d) 0.1
d
What is the closest to 2/3 in -5, -2, -207, 3/4?
3/4
Which is the closest to 2/11? (a) 0.5 (b) -0.4 (c) 20
a
What is the nearest to 1 in -2, 1, -11, 2/7?
1
What is the closest to 6 in -11, 2, 0.2?
2
Which is the nearest to 1/2? (a) -3 (b) -0.3 (c) -2/7 (d) -0.5
c
What is the nearest to 0.06 in 0.3, -3, 0.4, 1?
0.3
What is the nearest to -0.7 in 0.4, -2/3, 0.21, -0.5?
-2/3
Which is the nearest to -1.8? (a) -1/3 (b) -2 (c) 2/3
b
Which is the nearest to 10? (a) 1 (b) -3 (c) 0.46
a
What is the closest to 0.2 in -0.74, -4, 4?
-0.74
What is the nearest to 4 in 3/8, 0.3, -0.06?
3/8
Which is the nearest to -2/9? (a) -2 (b) -12 (c) -0.1
c
Which is the nearest to 0.2? (a) -1 (b) 5/7 (c) 3 (d) -4
b
What is the nearest to 0 in -13, 1, -97?
1
Which is the nearest to 46? (a) 3/4 (b) 4 (c) 1/3
b
What is the nearest to 1490 in 4, 1, -1/5, 2/17?
4
Which is the nearest to 1/4? (a) 1/4 (b) 2/25 (c) -3/2 (d) -0.3
a
What is the nearest to 7.1 in -29, 0.2, -2/7?
0.2
What is the closest to 0 in 4/9, 0, -0.5, -0.3?
0
Which is the nearest to 0.1? (a) -5 (b) 1/2 (c) 2/11
c
What is the nearest to 8 in -2/7, 0.3, -30?
0.3
What is the nearest to 897 in -0.1, -1/2, -2/5, -5?
-0.1
Which is the nearest to 0? (a) -3.462 (b) -5 (c) 0.3
c
Which is the closest to -3/7? (a) -4 (b) 3/2 (c) -1
c
What is the closest to 15 in 2/3, -3, 8?
8
Which is the closest to 6? (a) 0.5 (b) 0.03 (c) -2 (d) -4
a
Which is the closest to -0.2? (a) -5 (b) 3 (c) -1.5
c
Which is the nearest to 3/107? (a) -0.1 (b) 0 (c) 1 (d) -3/11
b
Which is the nearest to 8? (a) -4 (b) -1/4 (c) -2/3 (d) 0.3
d
What is the nearest to -1/3 in 1, -0.3, -2, -5?
-0.3
What is the nearest to 3 in 38, 1, -0.1, 2?
2
What is the nearest to 4 in -25, 2, 0.5?
2
Which is the closest to 4? (a) 0.1 (b) -4 (c) 3
c
What is the nearest to 0.1 in -1, 4, 133?
-1
Which is the nearest to 1? (a) 1/3 (b) 0.22 (c) 9
a
Which is the closest to 1/2? (a) 0.03 (b) 2 (c) -0.2 (d) -0.06
a
What is the closest to 2 in 1, 4, 0.2, -4/7?
1
Which is the closest to 1.4? (a) 1 (b) 12 (c) -3 (d) 3
a
What is the nearest to -0.1 in -0.2, -0.047, 1/4, 33?
-0.047
Which is the closest to -551/7? (a) 3 (b) -5 (c) -0.1
b
Which is the closest to 0? (a) 4 (b) -1 (c) 2/15 (d) -0.1
d
Which is the nearest to -0.3? (a) 2 (b) -10.21 (c) 3
a
What is the closest to 998 in -1, 0.4, -7?
0.4
Which is the nearest to -7? (a) 0.06 (b) -0.2 (c) 0.4
b
What is the closest to 1 in 3/4, 2/5, 9, 1?
1
Which is the closest to 0? (a) 21 (b) -0.1 (c) 1
b
Which is the closest to 0.2? (a) 0.851 (b) 4 (c) 0 (d) -0.3
c
What is the closest to 0.1 in 0, -218, -8?
0
Which is the nearest to -1/45? (a) -2/5 (b) -1/2 (c) -2 (d) -1/10
d
Which is the nearest to 1? (a) -33 (b) -0.1 (c) -2 (d) -0.2
b
Which is the closest to -1? (a) 5 (b) -3 (c) 2 (d) 4/3
b
Which is the closest to -2/5? (a) -2/7 (b) 1 (c) 1/6 (d) -154
a
What is the closest to 22 in -4.8, -1/4, -5, 2?
2
Which is the nearest to 2/5? (a) 0.4 (b) -2 (c) 4 (d) -2/9
a
Which is the closest to -2/3? (a) -3 (b) 0.02 (c) -0.5 (d) 3/4
c
What is the closest to 2/9 in -55, 4, -0.5, -2/5?
-2/5
What is the closest to 0 in 5, 6, -20?
5
Which is the closest to 7? (a) 7 (b) -6 (c) 3/2
a
What is the closest to -10 in 4, 0.5, -75, 0.1?
0.1
What is the closest to 10 in -0.2, -83, -2/7?
-0.2
Which is the nearest to 5? (a) -2/25 (b) -3 (c) -1 (d) -1/8
a
Which is the nearest to 0.1? (a) 0.01 (b) 4 (c) -3/4 (d) -3
a
What is the nearest to -1 in -0.5, 0.1, 125/6?
-0.5
What is the nearest to -0.2 in -2, -1/7, -9?
-1/7
Which is the closest to 1? (a) 3 (b) 2 (c) 0.4 (d) 6
c
What is the nearest to -14/11 in 0, 1/2, -5, -1/5?
-1/5
What is the nearest to -1 in 5, 12, -54, -3/7?
-3/7
What is the closest to -1/3 in -3/7, 1, -152?
-3/7
Which is the closest to 2/9? (a) -3 (b) 4 (c) 9 (d) -1
d
What is the closest to 0.1 in -4/5, 35, 0, -1?
0
Which is the closest to -2? (a) -1/2 (b) 0.1 (c) -38 (d) -2/5
a
Which is the nearest to -2? (a) -4 (b) 11 (c) -18
a
Which is the nearest to 1? (a) -1/4 (b) 0.1 (c) 2/33 (d) 8
b
What is the nearest to -3 in 1/4, 5, -0.005?
-0.005
What is the closest to -9 in -4, -5, 4, -1.2?
-5
What is the closest to 2/3 in -0.045, 0.4, -0.4, -3/2?
0.4
What is the nearest to -5 in 1, 0.26, -2/17?
-2/17
What is the nearest to 1/2 in 1, -0.04, -14?
1
What is the closest to 2/9 in -2, -1/7, 3/2, 3?
-1/7
What is the nearest to -2/7 in 4, 1/3, -1/232?
-1/232
What is the closest to -2/5 in 2, 9, 25?
2
Which is the nearest to 0? (a) -0.02 (b) 0 (c) -2/7 (d) 10
b
What is the nearest to 0 in 0.4, -2, -3, -0.2?
-0.2
What is the closest to -5/8 in -5, -3/5, -0.04?
-3/5
What is the closest to -8 in 2/3, -0.5, 1?
-0.5
Which is the nearest to -0.2? (a) 2 (b) -12/23 (c) -1
b
Which is the closest to 2/5? (a) -0.3 (b) 0.2 (c) 5 (d) 2
b
Which is the nearest to -3/2? (a) -4 (b) 0.04 (c) 3
b
What is the closest to 1 in 3/7, 38, 2, 0.1?
3/7
What is the closest to 1 in -2/5, 4, 0.1, -0.19?
0.1
Which is the nearest to 0? (a) -4 (b) 2 (c) -2/271
c
Which is the closest to -3? (a) 5 (b) 2 (c) 5/14 (d) 2/19
d
What is the closest to -0.2 in 5/2, 0, 35, 4?
0
What is the closest to 3 in -2, -3/2, 16, 2/21?
2/21
Which is the nearest to 2/7? (a) -1 (b) 9.9 (c) 4 (d) 1
d
What is the nearest to 0.1 in -1/9, 6, 5?
-1/9
Which is the nearest to 0.1? (a) 1.9 (b) 0 (c) 1
b
Which is the nearest to -1? (a) 1/4 (b) -1/3 (c) -31
b
Which is the nearest to -0.1? (a) -1/41 (b) 53 (c) 2
a
Which is the closest to -2/15? (a) -0.5 (b) 1 (c) -0.3
c
What is the nearest to 1.2 in -90, -0.4, 0.1?
0.1
Which is the closest to -2/7? (a) -5/7 (b) -5.4 (c) -5
a
What is the closest to -1 in 1, -2/5, 2?
-2/5
Which is the nearest to 1? (a) 4 (b) -0.011 (c) -0.2
b
Which is the nearest to 12? (a) 0.1 (b) 0.5 (c) 2/9
b
What is the closest to 0 in 23, 2, 3, -0.1?
-0.1
What is the closest to 23 in 3, 0.1, -4, 1/2?
3
Which is the nearest to 2/7? (a) -5 (b) 170.8 (c) 0.3
c
What is the nearest to 2/3 in 2/3, -1, 36?
2/3
Which is the closest to 0.1? (a) 8 (b) 0.3 (c) 0 (d) 0.04
d
What is the closest to 3 in 1/25, 1/4, 13, 0.4?
0.4
Which is the closest to -8/9? (a) -0.3 (b) -1/2 (c) -0.2
b
What is the nearest to -12 in -0.06, -3/5, 5?
-3/5
Which is the nearest to 4? (a) -4 (b) 39 (c) 0
c
What is the nearest to 3 in 1/3, 1/4, 2/19?
1/3
Which is the nearest to 1? (a) -0.06 (b) -1 (c) 14/5
a
Which is the closest to -0.1? (a) -3 (b) -13 (c) -2/9 (d) -0.2
d
What is the closest to 0.1 in -3, 0.2, -2.8, 4?
0.2
Which is the nearest to -0.1? (a) 3/22 (b) 13 (c) 0.4
a
What is the nearest to -79 in 0, -1/3, 22?
-1/3
Which is the nearest to -1/3? (a) 8 (b) 3 (c) -3
c
Which is the nearest to 1/4? (a) -1 (b) -0.4 (c) 4 (d) -2/17
d
Which is the closest to 15? (a) 0.1 (b) -2 (c) 1 (d) | {
"pile_set_name": "DM Mathematics"
} |
*c(d) + 2*f(d). What is s(9)?
3
Suppose -154*h = -173*h + 57. Let c(d) = d + 7. Let x(s) = 2*s + 16. Let b(t) = h*x(t) - 5*c(t). Suppose -4*i = -2*i + 14. Determine b(i).
6
Suppose 8*z + 63 = 5*z. Let q be (-375)/(-35) - 6/z. Suppose q = -3*a - 10. Let b(r) = r**3 + 7*r**2 + r + 5. Give b(a).
-2
Let c(v) = 2 + 4*v**2 - 3 - 2*v**2 + 0*v**2. Suppose 5*l - 28 = -2*l. Suppose -l*p - 2*z = -6*p + 2, -p = 2*z - 1. Determine c(p).
1
Suppose 2*v = 5*v - 6. Let w(o) = -17*o + 21*o - o**3 + 0 - 3 - 4*o**2. Determine w(v).
-19
Let a(j) be the third derivative of j**6/120 - j**5/10 + 7*j**4/24 - 2*j**3 + 495*j**2 + 3*j. Give a(5).
-2
Let w(f) be the third derivative of f**5/60 - f**4/8 + f**3/6 + 8*f**2 - 46*f. Let m = -4 - -6. Determine w(m).
-1
Let x(w) = w**3 - 2*w**2 + 3*w - 2. Suppose 0 = -4*k - 16, -4*q - 3*k + 36 = 2*k. Suppose 0 = -21*l - 212 - 40. Let d = q + l. Determine x(d).
4
Let h = -62 - -62. Let u be h + (0 - (-7 + -1)). Let r(v) = u*v + 0*v - 9*v + 1. Determine r(-5).
6
Suppose 4*b - 48 = 17*a - 12*a, -24 = -2*b - 8*a. Let j(c) = -c**2 + 18*c - 73. Give j(b).
-1
Suppose s - o - 11 = -0*s, 5*s = 4*o + 51. Suppose 4*a - 47*a + 129 = 0. Suppose -11 = -a*h - 5*m, -2*m = -s*m - 10. Let k(c) = c**2 - 7*c. Give k(h).
0
Suppose 16*l - 10*l = -6. Let o(z) = -z**3 - 6*z**2 - z - 11. Let n(k) = -1. Let q(g) = l*o(g) + 4*n(g). Calculate q(-6).
1
Let w = 274 - 282. Let g(z) = z**3 + 9*z**2 + 8*z + 3. Let q be g(w). Let c(a) = -3*a + 4. Calculate c(q).
-5
Suppose 0 = 26*b - 29*b + 6. Suppose -x = -5*f - 18, -2*x + 2 = -2*f - b. Let y(o) = o**2 + 2. Give y(x).
6
Let c(q) = 2*q**3 + 2*q - 1. Let j be 4/3*6*(-35)/(-14). Suppose 2*w - g = -5, 13 = -4*w - j*g + 25*g. Determine c(w).
-21
Suppose -47*k = -345 - 456 + 331. Let b(a) = -18*a + 185. What is b(k)?
5
Let v(i) = 68*i + 883. Let d be v(-13). Let u(l) = 22*l - 1. What is u(d)?
-23
Let g(p) = p**3 + 5*p**2 - 4*p + 8. Let o be g(-6). Let b(f) = 4 + 2 - 12 - f. Let d be b(o). Let s(w) = -w**3 - 4*w**2 + w - 1. Give s(d).
-11
Let k(d) = -13*d - 2. Let a be 200 - (-5 - (-4 - -5)). Let v = -209 + a. Determine k(v).
37
Let d = -12 - -12. Suppose d*c = 2*c - 8. Let s(v) be the first derivative of v**4/4 - 4*v**3/3 - v**2/2 + 4*v + 1665. What is s(c)?
0
Let a(y) = 5*y - 12. Suppose 5*r + 760*q - 757*q = 31, -4*r - 6 = -2*q. Determine a(r).
-2
Let i(v) = -15*v**3 - 1. Let r be 51*(133/(-21))/1. Let u = r + 324. Determine i(u).
-16
Let y(o) = o**3 + 24*o**2 + 42*o - 45. Let c be y(-22). Let r(u) = -34*u**2 - 2*u - 2. What is r(c)?
-34
Let i(a) be the third derivative of a**7/2520 - a**6/45 + 53*a**5/12 - 45*a**2 + 1. Let j(k) be the third derivative of i(k). Calculate j(10).
4
Let y(q) = -q**3 + 7*q**2 - 7*q + 3. Let f be y(6). Let n(t) be the first derivative of -230 - 4*t + 3/2*t**2 + 5/3*t**3 + 1/4*t**4. Determine n(f).
5
Suppose w = 4*b - 169, 3*b - 2*w - 82 = 46. Suppose -o - 134 = 3*n, 0*n - 2*o = -n - 33. Let y = n + b. Let c(l) = -4*l. What is c(y)?
4
Let u = 7035 - 7030. Let i(b) = -b**3 + 4*b**2 + 7*b - 13. What is i(u)?
-3
Let z(x) = -x**2 + 11*x - 2. Let j(o) = -2*o + 7. Let g be ((-27)/(-4))/(-3) - (-37)/148. Let f be j(g). Determine z(f).
-2
Let j(g) be the first derivative of -48 - 3*g**2 - 1/3*g**3 - g. Suppose -27 = 3*t - 4*h, 12 = -2*t + 2*h - 4. Determine j(t).
4
Let f(v) = -v**3 - 3*v + 3. Let q be 0 + ((-8)/(-10))/((-16)/(-40)). Let c be 0 - (q + -4 + 0). Give f(c).
-11
Suppose -3*w - 2*w - 165 = b, 0 = 2*w + 4*b + 48. Let v = w + 36. Let u(j) = -j + 2*j - 4*j - 3 + j**3 - 4*j**2 + 3*j**v. Determine u(-2).
-9
Suppose -31 = 3*d + 4*b, -d + 5*b + 5 = -10. Let m(n) = 22*n + 115. Calculate m(d).
5
Let y = 7 + -1. Suppose 0 = -2*u - y*u - 56. Let h(n) = -n**3 - 6*n**2 + 4*n + 6. Determine h(u).
27
Let g(s) = -s**2 + 10*s. Let m be g(10). Let v = m + 0. Let x(r) = 0*r**3 - 404 + r**3 + 200 - r**2 + 207. What is x(v)?
3
Let i(y) = y**3 + 8*y**2 + 4*y + 9. Let q(r) = -2*r**3 - 12*r**2 - 8*r - 20. Let a(m) = -7*i(m) - 4*q(m). What is a(8)?
49
Let u = 6138 + -6141. Let r(j) = 8*j**2 + 24*j. Calculate r(u).
0
Let j(u) = 20*u**2 - 19*u - 28. Let c(o) = -4*o**2 + 3*o + 5. Let l(r) = -6*c(r) - j(r). Determine l(0).
-2
Suppose 32*y - 30*y = -41*y. Let q be ((-18)/(-8))/((-2)/8). Let f be y/(7/q - 8/36). Let g(r) = -r**2 - r + 9. Give g(f).
9
Let w(j) = -9*j**2 - 32*j + 16. Let q be w(-4). Let h(l) be the third derivative of 4/3*l**3 + q*l + 6*l**2 + 0 + 1/8*l**4. Determine h(-6).
-10
Let w = 437 - 434. Let u(h) = -30*h**3 + h**2 + h. Let c be u(-1). Suppose -4 - 11 = -5*i, -3*i = -w*y - c. Let x(n) = n + 6. Determine x(y).
-1
Let p(w) = w**2 + 12*w + 16. Let y be 36/48 + (-329)/28. Calculate p(y).
5
Let u(n) be the first derivative of -2*n**2 + 16*n + 9 - 54*n + n**2 + 2*n**2. Let j(b) = -b + 20. Let v(l) = 11*j(l) + 6*u(l). Determine v(-6).
-14
Let m(o) = 3*o**2 - 2*o - 9. Suppose -2*z + 21 = 13. Determine m(z).
31
Let v(b) = -b + 6. Suppose -4*c - p + 47 = 0, 3 = -3*p - 0. Suppose 16*q = c*q + 260. Let t = q + -59. Calculate v(t).
0
Let m(o) = -o**2 + 2*o + 1. Let d(q) = 157*q + 33. Let h be d(-3). Let x = 434 + h. Determine m(x).
-23
Suppose -2*v - p - 3*p + 10 = 0, 2*v - 4*p - 10 = 0. Let w(b) = 2*b - 2*b - 307 + b + 308. Give w(v).
6
Suppose -5*y - 14 = -g, -5*g + 226 = -4*y + 51. Suppose -37*k + g*k = 12. Let p(v) = -v**2 + 5*v + 4. Give p(k).
-2
Let x(j) = -64*j**2 - 2*j + 1. Let a = 2581 + -2580. Calculate x(a).
-65
Let q(k) = 8*k - 18*k + 4*k + k + 4*k - 28. Give q(-15).
-13
Suppose -3*b - b = -3*n + 5, -4*b - 25 = n. Let x(i) be the third derivative of -1/8*i**4 + 3*i**2 - 1/60*i**5 + 1/6*i**3 + 15*i + 0. Give x(b).
-9
Let b(r) = -54*r + 7. Suppose 0 = -123*z - 128*z + 254*z. What is b(z)?
7
Let r(c) be the first derivative of -11*c**5/30 + c**4/24 + 8*c**2 - 4*c - 10. Let g(a) be the second derivative of r(a). What is g(-1)?
-23
Let y(i) be the second derivative of -131*i - 1/12*i**4 + 2*i**2 + 4/3*i**3 + 0. Suppose 2*k - 32 = -2*k. Calculate y(k).
4
Suppose -3*u - 18 = -u. Let f be u/2*(8 - 224/24). Let t(k) = k**3 - 7*k**2 + 3*k - 9. Calculate t(f).
-27
Let q(x) = 2*x**2 + 18*x + 21. Let w(n) = 74*n + 2139. Let d be w(-29). Determine q(d).
-7
Let b be 35 - 31 - (-4)/(4/(-2)). Suppose -b = 4*s - 6. Let y(v) be the third derivative of -v**4/12 - v**3/6 + 15*v**2. Determine y(s).
-3
Let d(n) be the first derivative of 0*n**4 - 11/3*n**3 + 0*n + 0*n**2 + 31 - 1/60*n**5. Let t(l) be the third derivative of d(l). Calculate t(-2).
4
Let q be ((-16)/12)/(-2)*9. Suppose 2*m - q*m = -16. Let s(i) be the second derivative of -i**5/20 + 5*i**4/12 - i**3/2 + i**2 - 34*i + 2. What is s(m)?
6
Let d(r) = r**3 - r**2 - r + 5. Let w be 9/((-18)/80)*126/35. Let o = w - -144. What is d(o)?
5
Let v = -126 + 121. Let m(y) be the first derivative of -y**3/3 - 11*y**2/2 - 3*y - 414. Calculate m(v).
27
Suppose -121*m + 134*m + 78 = 0. Let z(w) = -4*w + 17. Let k(c) = 5*c - 18. Let y(v) = -5*k(v) - 6*z(v). Calculate y(m).
-6
Let q(y) be the second derivative of -y**3/6 + 5*y**2/2 + 6*y - 2. Suppose -4*x - 4*l + 24 = 0, 3*l = x - 1 - 5. What is q(x)?
-1
Let y(q) = -q**2 + 6*q + 9. Let c be 4*(-1 + 18/8). Let a be 11 + ((-12)/2 - -7)*-3. Suppose x = c*d - 37, x + 24 - a = 2*d. Calculate y(d).
2
Let y(f) be the first derivative of f**2/2 + 5*f + 1. Let k(b) = 24*b**3 - 2*b**2 - 4*b + 5. Let j be k(1). Suppose -j*x + 41*x = -72. Calculate y(x).
1
Let o(n) = -n**2 + 4*n + 8. Let m(x) = 10*x + 17. Suppose 9*b - 21 = 3*c + 4*b, 0 = -b + 3. Let h be m(c). Let a(z) = -6*z - 11. Let v be a(h). Calculate o(v).
-13
Suppose 4*r + 0*r - 24 = 0. Suppose -b = -p + r, 3*p - b = -p + 12. Suppose -p = -4*a + 2. Let w(d) = 4*d + 1. What is w(a)?
5
Let i(h) = -3*h + 49. Suppose 9*a = 12*a + 3*r - 39, 0 = -4*a + 3*r + 59. Give i(a).
7
Let j(b) = -2*b + 15*b**3 - 14*b**3 + 15 - 4*b + 8*b - 26 + 6*b**2. Let g(a) = a + 16. Let v be g(-21). Determine j(v).
4
Let o(i) = -11*i - 24. Suppose -69*x - 228 = 7*x. Determine o(x).
9
Let p(r) = 19*r - 9. Let x(w) = -2*w**2 + 125*w + 196. Let i be x(64). Give p(i).
67
Let k(o) = -2*o**2 + 12*o - 6. Let w(r) = 6 - 15 + 6 - 2*r + 9. Let j be w(-1). Determine k(j).
-38
Suppose 0*v - 4*v = 0. Suppose -m + 10 - 7 = v. Let y(c) = c**3 - 3*c**2 + 3. Calculate y(m).
3
Let f be 17/((-289)/221) + 4 - (0 - 5). | {
"pile_set_name": "DM Mathematics"
} |
4
Let k(d) be the first derivative of d**2 - 28. Let m(a) = 2*a**2 + 16. Determine m(k(s)).
8*s**2 + 16
Let j(s) = s**2 - s**2 + s**2. Let x(f) be the third derivative of f**8/20160 - f**5/20 + 3*f**2. Let n(o) be the third derivative of x(o). Determine n(j(l)).
l**4
Let v(f) be the first derivative of f**4/12 - 3*f - 2. Let b(s) be the first derivative of v(s). Let p(n) = -3*n. Determine p(b(q)).
-3*q**2
Let z(a) = 27*a**2 - 15*a**2 - 7*a**2. Let i(c) = 2*c. Calculate z(i(t)).
20*t**2
Let j(k) = -10*k. Let v(s) = -2*s. Let u(c) = -3*j(c) + 14*v(c). Let w(q) = q - 1. Let g(a) = -3*a + 5. Let y(h) = -g(h) - 5*w(h). Calculate y(u(n)).
-4*n
Let r(q) = -3*q**2 + 10*q. Let n(z) = 16*z. What is n(r(d))?
-48*d**2 + 160*d
Let v(l) be the third derivative of l**5/20 - 2*l**2. Let y(m) = -2*m. What is y(v(j))?
-6*j**2
Let x(u) be the third derivative of -u**4/8 - 5*u**2. Let k(y) = -y + 35. Let d(h) = 5. Let j(z) = -35*d(z) + 5*k(z). Calculate x(j(r)).
15*r
Let l(u) = 43*u + 1. Let p(w) be the third derivative of w**5/60 - 20*w**2. What is p(l(h))?
1849*h**2 + 86*h + 1
Let s(m) = 3*m + 4. Let a(g) = -1. Let d(c) = -4*a(c) - s(c). Let x(l) = l. Let w(u) = -u. Let o(t) = w(t) - x(t). Calculate d(o(q)).
6*q
Let k(r) = 2*r + 8. Let i(b) = b + 5. Let c(y) = 8*i(y) - 5*k(y). Let h(n) = 20*n. What is c(h(w))?
-40*w
Let z(t) = 2*t + 2. Let a(v) = 10*v + 11. Let c(q) = 2*a(q) - 11*z(q). Let o(g) = 30 - 30 + 3*g**2. What is c(o(u))?
-6*u**2
Let c(i) = -2. Let l(j) = -2*j - 5. Let s(b) = -6*c(b) + 2*l(b). Let p(t) = t**2. Give p(s(z)).
16*z**2 - 16*z + 4
Let t(j) = 3*j**2. Let h(z) = -z**3 - 2*z**2 - 3*z - 3. Let a be h(-2). Suppose -a*r + 8 = r. Let f(k) = -2*k**r + 6 - 6. Calculate t(f(p)).
12*p**4
Let b(d) be the first derivative of -7*d**3/3 + 2. Let s(i) = -256*i + 128*i + 129*i. Determine b(s(v)).
-7*v**2
Let y(g) = -7*g**2 + 37*g**2 - 5*g**2 - 16*g**2. Let m(l) = -l**2. What is y(m(q))?
9*q**4
Let q(w) = 17*w. Let g(a) be the third derivative of -a**5/12 - 19*a**2 + 1. Give g(q(h)).
-1445*h**2
Let k(m) = -2*m**2 - 64*m. Let j(a) = a. What is j(k(y))?
-2*y**2 - 64*y
Let n(r) = -2148*r**2 - 2. Let u(g) = -4*g. Give u(n(v)).
8592*v**2 + 8
Let c(j) = -12*j - 10. Let h(i) = -i - 1. Let n(m) = -c(m) + 10*h(m). Let r(p) = p. Let b(l) = -8*l. Let u(d) = b(d) + 6*r(d). Calculate n(u(f)).
-4*f
Let q(m) = -2*m**2. Let g(k) = 3 + 2*k**2 - 3 + 0*k**2. Determine q(g(x)).
-8*x**4
Let q(s) = 7*s + 4*s - s - 15*s. Let k(z) = -8*z**2. Give k(q(l)).
-200*l**2
Let c be 8/(-6)*(-3)/2. Let f(i) = 3*i**2 + 4*i**2 - 4*i**2 - c*i**2. Let z(t) = 3*t**2. Give f(z(j)).
9*j**4
Let s(k) = -k. Suppose 0*t - 5 = 5*t, -3*t - 3 = -5*c. Let w be 1*(3 + 0) - c. Let o(f) = -3 - f + w. What is o(s(n))?
n
Let t(h) = -14*h - 24*h + 35*h. Let n(a) = 2*a. Let r(j) = -j. Let p(b) = 4*n(b) + 7*r(b). What is p(t(u))?
-3*u
Let q(x) = 3*x**2 + 2*x. Let o(u) = 23*u**2 - 14*u**2 + 26*u**2 + 25*u. Let f(r) = -2*o(r) + 25*q(r). Let y(t) = t. Give y(f(a)).
5*a**2
Let s(w) = 3*w. Let c(t) = -7*t. Let q(a) = -4*c(a) - 9*s(a). Let b(p) = -3*p**2. Determine b(q(z)).
-3*z**2
Let i(u) be the first derivative of u**2 + 2. Let h(x) = 4*x**2 + 2*x**2 - 2*x**2 + 2*x**2. Calculate h(i(l)).
24*l**2
Let x(k) = 2*k**2 + 3*k. Let a(v) = -5*v**2 - 8*v. Let p(q) = 3*a(q) + 8*x(q). Let j(w) = -22*w. Calculate j(p(c)).
-22*c**2
Let j(y) = -y. Suppose -3*n = b - 30, -3*n + 18 = 4*b - 12. Let z(q) = q - 10 + n. What is z(j(v))?
-v
Let n(h) = 1 - 3*h - 1. Let l(p) be the third derivative of -p**5/60 + p**2. Determine l(n(f)).
-9*f**2
Let m(j) = 4*j + 9. Let w(d) = d + 4. Let k(c) = 4*m(c) - 9*w(c). Let y(l) = 4*l. What is y(k(f))?
28*f
Let h(x) = -2*x**2 + 5*x - 443. Let k(d) = -d. Calculate h(k(c)).
-2*c**2 - 5*c - 443
Let j(o) = -o**2. Let x(l) be the second derivative of l**4/3 + 4*l. Calculate j(x(s)).
-16*s**4
Let x(c) = -8*c**2. Let j(d) = -16*d. Let v(k) = -11*k. Let q(p) = 5*j(p) - 7*v(p). Determine q(x(s)).
24*s**2
Let t(p) be the second derivative of p**3/2 + 7*p. Let l(f) = -2*f**2. Calculate t(l(h)).
-6*h**2
Let o(v) = 2*v. Let w = 0 - -2. Let h(y) = 3*y**2 - 2*y**w - 4*y**2 + 2*y**2. Give o(h(b)).
-2*b**2
Let t(v) = 135*v**2. Let g(c) = -54*c. Give t(g(f)).
393660*f**2
Let a(n) = 2*n. Let f(d) = -3*d. Let y(u) = -2*u**3 + u + 1. Let h be y(-1). Let i = -1 - h. Let v(c) = 3*c. Let q(m) = i*f(m) - 4*v(m). Determine a(q(b)).
-6*b
Let h(y) = -2*y**2. Let o(r) = 9828*r**2. Give o(h(d)).
39312*d**4
Let c(t) = -3*t. Let w(g) = -5*g + 3. Let i(n) = n**2 + 9*n - 8. Let a be i(-9). Let f(k) = 14*k - 8. Let s(u) = a*w(u) - 3*f(u). Give c(s(v)).
6*v
Let a(j) = -3*j**2. Let t(x) = -7*x. Let l(v) be the second derivative of v**3/6 - v. Let i(p) = -6*l(p) - t(p). Determine i(a(u)).
-3*u**2
Suppose o - 6 = 5*f - 21, -2*o - 6 = -4*f. Let q(i) = 6*i - f*i - 3*i. Let l(v) = -2*v**2. Give l(q(j)).
-2*j**2
Let o(u) be the second derivative of -4*u - 1/12*u**4 + 0*u**2 + 0 + 0*u**3. Let p(w) = w**2. Determine o(p(m)).
-m**4
Let a(u) = -2*u + 4. Let p(v) = 1. Let i(k) = a(k) - 4*p(k). Let d(r) = -35*r + 2. Give d(i(x)).
70*x + 2
Let y(w) = 2*w**2. Let c(b) = -b + 6. Let u be c(7). Let x = u + 2. Let r(f) = -3*f + 2 - 1 - x. Calculate r(y(t)).
-6*t**2
Let x(c) = 18*c**2. Let q(k) = 2*k - 14. Give q(x(w)).
36*w**2 - 14
Let g(h) = h**2. Let v(a) = 34*a. Give g(v(u)).
1156*u**2
Let o(k) = k**2. Let w(q) = -q + 1. Let g(b) = 6*b - 12. Let j(s) = 11*s - 25. Let v(y) = -5*g(y) + 2*j(y). Let r(a) = -v(a) + 10*w(a). What is r(o(x))?
-2*x**2
Let x(c) = 0*c**2 + 2*c**2 + 2*c**2 - c**2. Let q(v) = -5*v. What is q(x(y))?
-15*y**2
Suppose -4*v = 16, 2*p + 0*p + 4*v + 12 = 0. Let h(u) = 3*u**2 + 2*u**2 - 3*u**p. Let m(z) = 3*z. What is m(h(s))?
6*s**2
Let f(y) = -2*y. Let b(k) be the second derivative of k**6/360 - k**4/3 + 4*k. Let d(c) be the third derivative of b(c). Calculate f(d(n)).
-4*n
Let g(t) be the first derivative of -5*t**2/2 + 1. Let i(p) = -2*p + 15985 - 15985. Calculate i(g(x)).
10*x
Let p(y) = -79*y + 79*y + y**2. Let c(u) = 0*u**2 + 5*u**2 + 0*u**2 - 4*u**2. Calculate p(c(z)).
z**4
Let i(o) = -5*o + o + 0*o + 6*o. Let t(u) = 13*u. What is t(i(w))?
26*w
Let r(j) = -2*j**2. Let x(i) = 4*i**2 + 3*i + 1. Let t = -8 + 6. Let k be x(t). Let w(f) = 6*f + k*f - 11*f. Determine w(r(g)).
-12*g**2
Let r(n) = -8*n**2. Let v(w) = 4*w**2 - 14*w - 14. Let z(g) = -g**2 + 3*g + 3. Let h(j) = -6*v(j) - 28*z(j). Determine h(r(l)).
256*l**4
Let t(r) = 6*r. Let a(c) = 9*c. Determine t(a(k)).
54*k
Let a(i) = 29*i. Let y(d) = -d. What is a(y(f))?
-29*f
Let z = -63 - -66. Let i(c) be the first derivative of -1/3*c**z - 2 + 0*c**2 + 0*c. Let p(u) = -2*u**2. Calculate p(i(x)).
-2*x**4
Let n(m) = -m. Let i(r) = -2*r**2 + 98. Give n(i(a)).
2*a**2 - 98
Let l(c) be the third derivative of -c**6/360 - c**4/24 - c**2. Let m(s) be the second derivative of l(s). Let j(v) = -v**2. What is m(j(x))?
2*x**2
Let o(v) = 49*v**2. Let u(c) = 6*c - 16. Let b(f) = -2*f + 5. Let g(m) = -16*b(m) - 5*u(m). Determine o(g(i)).
196*i**2
Let g(a) be the first derivative of -a**4/12 - 3*a**2/2 - 3. Let q(x) be the second derivative of g(x). Let o(r) = -3*r. Determine q(o(p)).
6*p
Let f(l) = -3*l. Let u = 3 + 1. Let h(k) = 4*k + 3. Let o(w) = -4 + w + 0*w - 6*w. Let t(p) = u*h(p) + 3*o(p). Calculate t(f(c)).
-3*c
Let a(k) = 6*k. Let o(d) = 2358*d + 2. Give o(a(v)).
14148*v + 2
Let r(o) = 5*o**2. Let n = -1 - -1. Let z(m) = m**2 + n + 0 - 2*m**2. Give r(z(k)).
5*k**4
Let o(y) = -y. Let p(s) = -2*s**2 + 0*s**2 + s**2 + 2*s. Let z(b) = 6*o(b) + 3*p(b). Let l(i) be the second derivative of i**4/6 + i. Determine z(l(r)).
-12*r**4
Let d(q) = q**2 - 13804. Let o(r) = -2*r. Give o(d(t)).
-2*t**2 + 27608
Let u(h) be the second derivative of h**6/360 - h**3/2 - 4*h. Let w(c) be the second derivative of u(c). Let i(o) = -2*o + 3*o - 2*o. Calculate i(w(d)).
-d**2
Let y(x) = -2*x**2 + 5*x - 5. Let f(l) = 2*l**2 - 6*l + 6. Let c(v) = 5*f(v) + 6*y(v). Let z(t) = 13*t**2. Determine z(c(w)).
52*w**4
Let t(w) = 963*w**2. Let o(a) = -5*a. Give o(t(s)).
-4815*s**2
Let u(p) = -3*p**2. Let h(x) = -2*x**2 + 3*x. Let l(r) = -3*r**2 + 5*r. Let z(k) = k**2 + 8*k + 7. Let s be z(-6). Let g(w) = s*h(w) + 3*l(w). What is u(g(n))?
-3*n**4
Let b(l) be the second derivative of -l**4/12 + 10*l. Let q(x) = x. Determi | {
"pile_set_name": "DM Mathematics"
} |
ds digit of 31208?
2
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6
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4
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4
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8
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2
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7
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4
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5
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4
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8
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2
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0
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2
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1
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7
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1
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4
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8
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3
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4
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3
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7
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8
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6
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3
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8
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1
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5
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9
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1
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3
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6
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1
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5
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6
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1
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0
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5
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8
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9
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4
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4
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1
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3
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3
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6
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8
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9
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5
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3
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7
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1
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1
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3
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4
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4
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6
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1
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7
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1
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4
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1
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6
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7
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0
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1
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7
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9
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1
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7
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4
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2
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1
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3
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2
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2
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1
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6
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8
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7
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8
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2
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1
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9
What is the hundreds digit of 9937?
9
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1
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8
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7
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9
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8
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2
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5
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8
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3
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2
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4
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5
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4
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5
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8
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3
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1
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8
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3
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3
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0
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6
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3
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3
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7
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5
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5
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2
What is the thousands digit of 119930?
9
What is the tens digit of 85?
8
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6
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1
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5
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1
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1
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4
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1
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1
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7
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5
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4
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6
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6
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6
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5
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5
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5
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4
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2
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3
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9
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4
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3
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1
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7
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2
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0
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1
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8
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2
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6
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7
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2
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5
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8
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8
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1
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7
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8
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0
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1
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5
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9
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8
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2
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2
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4
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8
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1
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3
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5
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1
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1
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8
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6
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6
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3
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9
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2
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1
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6
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9
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1
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0
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7
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4
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3
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2
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5
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8
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8
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4
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5
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1
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8
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8
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0
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1
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9
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3
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2
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0
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3
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4
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7
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1
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3
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8
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4
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3
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1
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0
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4
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1
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4
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5
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1
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1
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8
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9
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1
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7
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1
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4
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0
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1 | {
"pile_set_name": "DM Mathematics"
} |
give i.
-1445
Rearrange -3 + 25*j**2 - 109*j**2 - 280*j**2 - 262*j**2 + 2*j**2 to the form m*j + l*j**2 + b and give b.
-3
Rearrange 0 + 0 - l**2 + ((3 - 1 + 0)*(-l - 2*l + 2*l) - 4*l + l + l - 387*l - 449*l + 762*l)*(-l + l + 2*l) to m*l**2 + h*l + t and give t.
0
Express (-42*t**2 - t + t)*(t - 2*t - t)*(148 - 305 + 50) + (-t + t - 2*t)*(t**2 + 1 - 1) in the form s + m*t**2 + v*t + z*t**3 and give z.
-8990
Rearrange (-p + 6356*p**2 + 12*p**4 - 6356*p**2)*(-14 + 10 - 5)*(0 - 1 + 2) to the form o + d*p**4 + s*p**3 + h*p + q*p**2 and give h.
9
Rearrange -6*n**4 + 57*n**4 - 2*n**4 + (-3*n**3 + 3*n**3 + 3*n**3)*(-9*n - 5*n - 17*n) to the form r*n**4 + w + v*n**2 + o*n + k*n**3 and give r.
-44
Rearrange (-7 - 2 + 6)*(-3*n + 3*n - 2*n)*(12 + 2 + 15) to the form z*n + f and give z.
174
Rearrange (9297 + 12591 - 32592)*(3*n - 4*n - n) - 2*n - 2 + 2 to z + m*n and give z.
0
Express 15*f**2 - 7 + 220*f - 221*f - 14*f**2 - 38*f**3 in the form g*f**3 + y*f + k*f**2 + m and give g.
-38
Rearrange (-2 + 2 - 3)*(-2 + w + 2) - 4 + 4 + 2*w - 2114 + 4148 - 2084 + 6*w to the form d + g*w and give g.
5
Express 44*k**3 + 44*k**3 - 57 - 90*k**3 - 24*k**2 + 24*k**2 + 8*k as r*k**3 + s*k + u*k**2 + b and give r.
-2
Express -3*i + 66 - i**2 + 67 + 2*i - 2*i as z*i**2 + t + q*i and give q.
-3
Rearrange -1421*b + 31 - 70 + 40 to t*b + v and give v.
1
Rearrange 65833*d + 678*d**4 - 1 - 6*d**3 - 65833*d to s*d**2 + j*d**4 + z + o*d + g*d**3 and give z.
-1
Express -3345*q**3 - 40*q - 1 - 5*q + 3362*q**3 in the form h + g*q**3 + l*q + c*q**2 and give h.
-1
Rearrange (-624 + 2046*u + 307 + 339*u + 446*u + 314)*(-3*u + 3*u + 2*u**2) to the form b*u**3 + r*u**2 + v*u + s and give b.
5662
Rearrange (-h - 4*h + h)*(219 - 39*h + 41*h + 397) to the form d*h + v*h**2 + a and give d.
-2464
Rearrange 53 + 641 - 9334*w + 9336*w + 149 to f + p*w and give p.
2
Express -4*p**4 + 363451 - 363446 + 7*p**3 + 3*p**4 - p**2 in the form y*p**4 + h*p**2 + n*p**3 + u*p + l and give u.
0
Rearrange -12*n - 97*n + 52 - 4*n - 45 to c + h*n and give c.
7
Express -26227*k**2 - 2292*k**2 + 541*k + 2288*k**2 - 541*k as n*k**2 + f*k + c and give n.
-26231
Express 4548*v**3 + v**2 - 4548*v**3 - 365 - v**4 as h*v**3 + x*v**4 + u*v + w*v**2 + d and give w.
1
Rearrange 221076*k - 221077*k + 10*k**4 - 2*k**3 + 5 + 1 - 2*k**2 to the form d*k + t*k**2 + a + w*k**4 + i*k**3 and give i.
-2
Rearrange (295 + 12 + 211)*(-d + 5*d**3 - 3*d + 5*d) to w*d + x*d**3 + b + s*d**2 and give s.
0
Rearrange 0*l - 3*l - 11*l + (l + l + l)*(31 + 110 + 7) - 4*l + l + 4*l to i + c*l and give c.
431
Express (10*g - 6*g + 8*g)*(1158*g - 1151*g - 17 + 1)*(-5 + g + 5) as s*g**2 + i*g + v + y*g**3 and give s.
-192
Rearrange 3*b - 3007 + 45*b**2 + 2997 + 11*b**2 - b**3 to q*b + s*b**3 + a*b**2 + w and give q.
3
Rearrange 9782*x**3 + 34 - 9784*x**3 - 17 - 14 + 10*x + 14*x to the form r*x**2 + i*x**3 + b + g*x and give b.
3
Express (262*r - 197*r - 137*r)*(-3 + 2*r**2 + 3)*(-2 - 4 - 2) as j*r**3 + f + b*r**2 + t*r and give j.
1152
Express -p + p + p**2 + (0*p + 3*p - p)*(9 - 4 - 9)*(-65 + 40 - 13)*(2*p - 3*p + 0*p) as s*p + i + h*p**2 and give h.
-303
Express (-1243*l**2 + 2 - 1255*l**2 + 2474*l**2)*(-9 + 3*l - l + 2*l) as j*l**3 + n + u*l + k*l**2 and give n.
-18
Rearrange (-1 + 0 + 0)*((f + 3*f - 2*f)*(-6 + 9 + 3) + (3 - f - 3)*(-1 - 3 + 3) + 0 + 0 - 2*f) - 199*f + 276*f + 428*f to the form s*f + q and give s.
494
Rearrange 4*i - 1 + 469*i**2 - 124*i**2 - 119*i**2 - 121*i**3 - 121*i**2 - 116*i**2 to l*i**3 + j*i + y*i**2 + q and give q.
-1
Express (-2*t**2 + 4*t**2 + 0*t**2)*((54162 - 31721 - 32958)*(-1 - 4 + 3) + 6 - 1 - 2) as g*t + z + x*t**2 and give x.
42074
Express 145*y**2 - 140*y**2 + 3*y**3 + 4*y**3 + (2*y**2 - 3*y**2 - 4*y**2)*(4*y - 3*y - 15*y) in the form d*y**2 + l*y + f + c*y**3 and give c.
77
Rearrange (2*q**2 - 2*q**2 - q**2)*(-405*q + 702*q - 2 - 531*q) to v*q + g*q**3 + i + k*q**2 and give k.
2
Express (-f + f + 2*f)*(4 + 1 - 4)*(-5*f - f + 3*f)*(895*f + 1382*f + 515*f) as j*f**3 + n*f**2 + x + g*f and give j.
-16752
Rearrange (497 - 476 + 828)*(-4*g + 2*g + g) + 0*g + 0*g - g to the form x + v*g and give v.
-850
Rearrange -3*x - 3 - 62*x**2 + 126*x**2 + 4*x + 210*x**2 to c + f*x**2 + w*x and give f.
274
Express (2 + 0 - 1)*(-1 - 2*u + 6 - 2)*(-4142 + 8500 - 2362) as y + z*u and give y.
5988
Express 2*w**2 - 792 + 1822*w + 1585 - 793 in the form r*w + d*w**2 + o and give d.
2
Express -2178 - 19*x**2 + 3*x**3 - 10*x**2 + 2179 + x + 8*x**3 - 3*x as p + d*x**3 + r*x + h*x**2 and give r.
-2
Express (-10037 - 6724 - 5896)*(5*n - 4*n + 2*n) in the form w + i*n and give i.
-67971
Rearrange (271 + 185 + 1383 + 2643)*(-g**3 + g**3 + g**3) to j*g + l*g**2 + h + k*g**3 and give k.
4482
Rearrange (-7 + 4*g**2 + 7)*(g + 0*g - 3*g)*(-648 + 56*g + 16*g - 73*g) to the form x*g**3 + l*g**2 + j*g + a + n*g**4 and give n.
8
Express 9*b + 98 + 8*b - 12*b + 114 + b as r*b + v and give v.
212
Express 0 + 8 + 7449*i - 5 - 5092*i as a*i + f and give f.
3
Rearrange 32*g + 27 - 44*g + 25*g - 17*g to m + f*g and give m.
27
Express -14191 - 12*a**2 - 44*a**3 + 3*a - 3*a + 14192 - 12*a**2 in the form k*a + i + z*a**3 + m*a**2 and give z.
-44
Express q**2 - 206*q - 130 + 29*q - 2*q**2 + 131 in the form r*q**2 + g + o*q and give g.
1
Express 63*r**2 + 105812*r - 105852*r + 13*r**2 as k*r + m*r**2 + u and give m.
76
Rearrange (52 - 62*y**3 - y + 173*y**3 - 116*y**3)*(1 + 26*y - 1 - 70*y) to the form d*y + u*y**4 + f*y**2 + k*y**3 + t and give d.
-2288
Express -232*o + 0*o**4 - 10*o**3 + 2*o**2 + 231*o - 9*o**3 + o**4 + 1 + 6*o**2 in the form k*o**3 + w*o**2 + m + h*o + b*o**4 and give m.
1
Express (3 - 4 + 3)*(-g + 3*g + 0*g) + (-123*g - 62*g - 78*g)*(-4 + 4 + 1) in the form i + b*g and give b.
-259
Express 280*h - 512*h - 2782*h - 3654*h in the form a*h + m and give a.
-6668
Rearrange ((7*o**2 - 3*o**2 + 0*o**2)*(2*o**2 - o + o) + 7*o**4 + 0*o**4 - 4*o**4)*(-965 - 212 - 157) to w*o**4 + k*o**2 + n*o + v + u*o**3 and give w.
-14674
Rearrange (4*f + 21 - 21)*(-2*f**2 + f - f) - 50400*f**2 + 11637*f**3 + 16796*f**2 + 16802*f**2 + 16802*f**2 to z*f**3 + x*f**2 + v*f + n and give z.
11629
Express 1226*b - 3432 + 1140 + 1143 + 1149 as a + l*b and give l.
1226
Express (-2 + 6116*n + 4 - 6077*n)*(-1 + 2 - 3)*(3 + 2 - 4)*(-1 - 2 + 4) in the form j + p*n and give j.
-4
Express 228*k - 18*k**4 + 16*k**4 + 3*k**4 + (-2*k**2 + 5*k**2 - 2*k**2)*(-7 + 7 - 4*k**2) in the form b*k**4 + y*k**3 + n*k**2 + x*k + p and give x.
228
Rearrange 4*n**2 + 14370*n - 3*n**2 - 8*n**3 - 14367*n + 2*n**2 - 4*n**2 - 2 to w*n**2 + p*n**3 + v*n + q and give v.
3
Express 6*n - 7*n**4 + 31*n**2 - 3 + 18*n**2 - 1 - 38*n**2 + 5 in the form k*n**3 + q*n**2 + r*n**4 + f*n + d and give r.
-7
Express -820*y**2 + 314*y - 3*y**3 - 176*y - 137*y as n*y**2 + t*y + r + v*y**3 and give t.
1
Express 1 - 68*h**2 - 16*h**4 + 30*h**2 + h**2 - 24*h**2 - 3*h**3 + 2*h**3 as t*h**3 + o*h + b*h**2 + x + j*h**4 and give j.
-16
Express (4*g**2 - 4*g**2 - 2*g**2)*(19325*g - 15 - 31824*g + 15 - 25639*g - 15759*g) in the form u*g**2 + a*g**3 + j*g + m and give a.
107794
Rearrange -2*u**3 - 3*u**3 + u**3 + (-3*u**2 + 2 - 2)*(3*u - 2*u + 2*u) + 30*u**3 - 6*u**3 - 3*u**3 + 5 - u**3 - 5 to d*u**2 + t*u**3 + a*u + i and give t.
7
Express -7*n**2 - 23 + 0 + 79*n - 16*n**2 + 23*n**2 - 2*n**2 in the form a + u*n**2 + j*n and give u.
-2
Express (1 - 1 - 2*r + 2*r + 0 + 0 + 0 + 2*r + 0 + (-4 + 6 - 4)*(-r - r + r) - 5*r + 0*r + 0*r)*(205*r - 63*r + 134*r) as i + w*r + d*r**2 and give i.
0
Express -5423*w**3 + 24 - w**2 - 8*w + 1806*w**3 + 1815*w**3 + 1804*w**3 in the form r*w**3 + u*w + g + j*w**2 and give j.
-1
Express -j + 229 - 227 + 3*j**2 + 14*j**2 - 9*j**3 in the form d*j**2 + b + x*j**3 + r*j and give r.
-1
Rearrange -4*n**2 - 5*n**2 + n**2 + (1 - 1 - 2)*(-1039*n + 1039*n + 278*n**2) + 2*n**2 + 3*n**2 - 2*n**2 to u*n + m*n**2 + h and give m.
-561
Express 22*g + 25*g - 8*g**3 - 44*g + (14*g**2 - 30*g**2 - 28*g**2)*(3*g + 5*g - 4*g) as o*g + t*g**2 + b*g**3 + p and give b.
-184
Rearrange k + 1 - 29*k**3 + 110*k**3 - 24*k**3 - 42*k**3 + 4*k**2 to the form d*k**3 + i*k**2 + l*k + t and give d.
15
Express (4*u + u - 4*u + (2*u - 2*u - 3*u)*(0 + 4 - 3) - 32*u - 25*u - 26*u)*(10*u**2 - 13*u**2 + 6*u**2) in the form m | {
"pile_set_name": "DM Mathematics"
} |
ve -4*c + 17 = -5*a, -2*c - a + 11 = -y*a for c.
3
Let f be (-156)/(-60) - 2/(-5). Let x be (-2)/4*(-11 - -1). Let s = x - f. Solve 4 + 1 = -5*k + 3*t, s*t = 10 for k.
2
Let q = -140 + 142. Suppose 15 = -2*f - 5*n, -3*f + 2*f + 5*n = -15. Suppose f*l + 10 = 5*l. Solve -4 = -5*p - w - 3*w, -l*w = q*p for p.
4
Suppose 3*y = 2*y + 10. Solve -2*s + 3*f = 6, f - 6*f + y = s for s.
0
Let k(r) = r + 10. Let c be k(-10). Let u = c + 5. Solve -u*n = -q - 2*q + 21, 3*n = -4*q - 1 for n.
-3
Suppose 0 = u - 6*u + 10. Solve -10 = -u*n, 3*n + 0*n - 30 = 5*k for k.
-3
Suppose 4 = -2*g + 3*g. Solve 0 = 2*a + 4 + 6, 0 = g*z + 5*a + 41 for z.
-4
Suppose -2*k + 32 = 2*k. Let m = 10 - k. Let d be -10*(0 + 2/(-4)). Solve -m*j = r + 2*r, j = -d*r for j.
0
Let d(w) = w**3 - 16*w**2 - 15*w - 29. Let m be d(17). Solve -5*f + 7 = -13, -m*f = z - 17 for z.
-3
Suppose 10*a - 7*a = 6. Solve 16 = 2*r - 4*o, a*r + o + 2*o + 5 = 0 for r.
2
Let n = -3 + 13. Suppose 2*b - n = -0*b. Let j(v) = -12*v**3 - 1. Let u be j(-1). Solve 14 = 5*z + 3*o - u, 0 = -3*z + b*o - 19 for z.
2
Let u be 140/8*9*(-8)/(-42). Solve 5*s + 8*v = 5*v + u, 3*s + v = 14 for s.
3
Suppose -52 = -4*f - 4*i, 0 = f + 3*f - 4*i - 76. Solve -2*j + 6*j + f = 0, 5*q = j + 24 for q.
4
Suppose y - 15 = 4*t + 27, 2*t = 4*y - 126. Solve -2*w + 4*k = y, 4*w + k + 0 = -15 for w.
-5
Let s be (-2 + (-15)/(-3))/1. Suppose 0 = -4*a + z + 28, 2*a - s*a - 12 = -5*z. Let o = a - -2. Solve 4 = -j - j + 4*n, 2*n = -2*j - o for j.
-4
Let l(s) = 3*s**2 + 2*s + 1. Let o be -4 + 1 - (-4)/2. Let u be l(o). Solve 4*i - 8 = f, 5*f + 10 = -u*i - 8 for i.
1
Let l(a) = -2*a - 3 + 8*a + a**2 + a**3 - 7*a**2. Let y be l(5). Suppose 2*z = g - 3, g - 7 = -0*g - 2*z. Solve -3*r = 2*j + 19, -7*r + 4*j + g = -y*r for r.
-3
Let t be (-13 + -1)/(0 - 1). Solve -2*a = -3*r - 3*a - t, -r - 3*a = 2 for r.
-5
Suppose 3*p = -0*p - 3. Let h be (3 - -4) + -2 + p. Solve -5*y - 2*t + 9 = 0, -2*y + h = 2*t - 2 for y.
1
Suppose 0 = 2*z + 3*z - 85. Solve z = -3*h - 0*h + b, -3*h = 4*b - 8 for h.
-4
Let p = -17 - -21. Suppose 0 = -p*g + g + 4*a + 20, -4*a + 52 = 3*g. Solve -5*h = -h - 4*c - g, 2*c - 9 = -3*h for h.
3
Let y(z) = -z**2 + z + 1. Let h be y(4). Let v = h - -18. Suppose 5*n + 2*a = -3*a + 55, 5*n - 4*a = 64. Solve -4*d = -q - n, 4*q + v = -d + 27 for q.
4
Let b(t) = -t**3 - 2*t**2 - 2*t. Let w be b(-2). Suppose w*l + l - 27 = 4*a, 5*l + 4*a - 3 = 0. Solve 0 = -2*y + l*p - 5*p - 2, -3*p = 0 for y.
-1
Let d(n) = -n**3 - 5*n**2 - 4*n + 5. Let k be d(-4). Solve 4*a = -k*g + 7, -g = -4*a - 0*g - 11 for a.
-2
Suppose -3*d - 5*p = -0*d - 27, 5*p = 4*d - 1. Let f = 21 + -12. Solve 24 = d*i - 2*o + 6*o, 0 = 2*i - o - f for i.
5
Suppose 6*m + 3*c + 61 = 2*m, -5*m - 79 = c. Let t be (-264)/m*(-6)/(-9). Solve -3*f = -a + t, 2*f + 4 - 1 = 5*a for a.
-1
Let b(r) = -2*r**3 + 2*r**2 + 2*r + 1. Let f be b(-1). Let w be f + -3 + (-6)/(-2). Solve -w*a = -t - 7, 4*t + 2 = -0*t - a for t.
-1
Suppose -10*c = -12 - 8. Solve 5 = g + c, -5*m + 2*g = -19 for m.
5
Let l be 12 + (2 + -3 - 1). Suppose l = 4*s - 2*s. Solve -5*q - 4*k = -k - 22, -s*q + 2*k = -2 for q.
2
Let f(i) = 10*i. Let a be f(1). Suppose 0 = 3*v - 5*v + a. Suppose 4*y - 33 = v*z - 0*z, -z = -3*y + 11. Solve -7*s + 12 = 2*m - y*s, 3*s = 2*m + 4 for m.
1
Let j(o) = 4*o - 7. Let x be j(3). Suppose -x - 43 = -3*f. Solve c = -t - 4*c - 9, -3*t - 4*c = f for t.
-4
Let y be (-10)/30 - (-20)/6. Let w(c) = c - 9. Let m be w(10). Solve d - 4*d + 3 = y*b, 0 = 5*b + d - m for b.
0
Let p(k) = k**2 + 5*k + 1. Let j be p(-5). Suppose -j = -o - 3*w + 18, 4*o + 3*w = 76. Solve h - 11 = -2*h + q, -2*q - o = -5*h for h.
3
Let t = 5 - -7. Let n = -7 + t. Solve -18 = -4*u - n*q, q = -2*q + 6 for u.
2
Let t(f) be the first derivative of 3*f**5/20 + f**2/2 + 3*f - 2. Let c(j) be the first derivative of t(j). Let i be c(1). Solve -y + 2 = y, i*y = 2*n for n.
2
Let n = 16 + -10. Let o(x) = x**3 + 6*x**2 - 8*x + 3. Let w be o(-7). Suppose 5*q - w = -0*q. Solve n*y = 2*y + 2*u - q, -3*y - 9 = u for y.
-2
Suppose -5*m + 24 = -2*g, 2*m + 0*m + 2 = -5*g. Let j be (-4)/10 - (-732)/30. Suppose -5*h + j = -h. Solve -2*q - h = p + 1, 0 = -m*p + 2*q - 8 for p.
-3
Let d be 2/(-1)*-5*(-24)/(-48). Solve -5 = j + 5*x, j + d = -0*j - 4*x for j.
-5
Let z = -5 - -7. Let h be (-1)/z + (-4)/(-8). Suppose 4*u - 15 = -2*x + 7, h = -u - 4*x + 23. Solve 0 = c + 3*c + i - 23, 0 = -2*c + u*i + 1 for c.
5
Let t be (-11)/66 - (-1)/6. Solve -2*r + 6*r + 23 = x, 2*r - 2*x + 16 = t for r.
-5
Let v be 7/((1/1)/(-1)). Let x(o) = -o**3 - 6*o**2 + 7*o + 4. Let w be x(v). Solve -j = -0*j + 2*p + 4, 0 = w*j + 2*p - 2 for j.
2
Let a = -145 + 149. Solve 2*q = 4*t - 18, 0 = a*t - 2*t - 3*q - 7 for t.
5
Suppose i - 3*m = -7, -10 = 5*i + 4*m - 32. Suppose -i*p + 60 = 3*p. Solve 3*q + t = p, 0*t - 3*t = 5*q - 20 for q.
4
Let p be (-36)/15*10/3. Let q = p - -13. Let z(k) = -k**3 + 3*k**2 + 4*k + 2. Let i be z(4). Solve -3*j + x - i*x + 1 = 0, 25 = -q*x for j.
2
Let i(c) = 2*c - 7. Let w(s) = -s**2 + 5*s + 2. Suppose 5*b = 10 + 10. Let o be w(b). Let x be i(o). Solve -x*m + 4*z = 24, 0 - 1 = -z for m.
-4
Suppose -4*n + 11*n + 413 = 0. Let x = n - -83. Solve h = -s + 2, -5*s = -h - h - x for s.
4
Let o(f) = f - 9. Let s be o(11). Let h(g) be the first derivative of g**2 + g - 2. Let v be h(s). Solve 4*y - 5*x = 36, -y - 17 = v*x - 1 for y.
4
Suppose q = -5*w + 4*q + 90, 2*w = -3*q + 15. Solve w = 4*r + k, k = 5*r + 2*k - 20 for r.
5
Suppose 7*t - 6*t - 4 = 0. Solve c + 0 + 4 = t*y, -5*c = 4*y - 4 for y.
1
Let b(t) = -t + 17. Let q(r) = -8. Let l(x) = 6*b(x) + 13*q(x). Let p be l(-1). Suppose 3*h - 14 + 5 = 0. Solve 0 = -5*w + 4*a - 32, h*w + p*a - 8 = 2*w for w.
-4
Suppose t + 86 = 98. Solve 3*m = 4*u + 9, -2*u - 3*m = u + t for u.
-3
Suppose -5*w = -5*x - 45, -w + 17 + 4 = -4*x. Solve 0*s + 4 = 4*s, -5*l - w*s - 20 = 0 for l.
-5
Let q = -5 + 10. Solve 5*r = -z + 20, 3*r - q*r + 8 = -2*z for r.
4
Let h = -13 - -34. Solve -2*y = 4*p - 24, -2*y + 5*p + 0*p = h for y.
2
Let f be 2/(-3) + 3/(-9). Let v be 0/(f + 0 - 1). Let b = 107 + -105. Solve v*l - 21 = 5*z + b*l, -3 = -3*z + 4*l for z.
-3
Let b(t) = -t**2 - t + 9. Let y be b(0). Suppose 3*j = y + 3. Solve -j*d + 23 = -0*d - 5*l, 0 = -3*d - 3*l - 3 for d.
2
Let g(j) = j**3 - 3*j**2 - 2*j - 3. Suppose 4*n = -2 - 6. Let u be (-282)/(-54) - n/(-9). Let t be g(u). Solve 0 = 2*c - 4*r + 26, 0 = c + 4*c - 3*r + t for c.
-5
Let n(q) = q**3 + 6*q**2 - 7*q + 4. Let f be n(-7). Solve -h = -5*o + 19, 4*o + 0*h - 12 = f*h for o.
4
Let o = -18 + 28. Let k = 14 - o. Solve -2*b + 6 = s, 0*b - 3 = -b - k*s for b.
3
Let o(l) = -l**3 + 8*l**2 - 7*l. Let c = 11 - 4. Let j be o(c). Solve j = 2*m + u + 1, m = -0*m + 3*u + 17 for m.
2
Suppose 4*a + 6*x - 2*x - 224 = 0, a - 59 = -4*x. Suppose 5*b - a = -5*f, -10 = -2*f - 3*b + 14. Let u = -4 + f. Solve -2*i - s = 12, -i - 2*s - u = 4 for i.
-5
Let n be 2 - (-2 + -4 + -2). Suppose -h + 2*h - n = -5*u, h + 2 = -u. Solve u*j - 4*d + 0 = -1, d + 3 = 4*j for j.
1
Let b(c) = -c - 2. Let r be b(-3). Let o be r - (6 - 3)*-1. Solve -m = -3*m - 5*n + 28, -5*n + 36 = o*m for m.
4
Let g = -6 + 6. Let k(z) = z + 1. Let o be k(g). Let w be 1 + 0/o + 2. Solve p = -b + 2, 4*b + p = w - 4 for b.
-1
Let z(c) = 3*c + 6. Let p(d) = 7*d + 11. Let h(k) = -4*p(k) + 9*z(k). Let x be h(5). Solve 3*y - 11 = -2*q, -y - 5 = -0*q + x*q for q.
-2
Suppose 3 = 2*d - d. Solve 0 = 2*g + o - 7, 0 = g + d*g + 5*o - 17 for g.
3
Let g be 2 + 1/1 + -21. Let h = -13 - g. Solve z = -h*f + 26, -3*z - z = 4*f - 24 for z.
1
Let j = 5 - 4. Suppose -2*i = -2*r - j - 5, 3*r = -3*i + 3. Let l = r + 6. Solve 4*n + 0 = -u + 6, -l*u = -4*n + 18 for u.
-2
Let p = -94 - -115. Solve 3 = o - 2*x, 5*o - p = -3*x + 7*x for o.
5
Suppose j = y - 36, 0*j = y + 2*j - 36. Suppose -7*u + s + y = -3*u, -4*s - 34 = -5*u. Solve -2*l = -z - 7*l - u, 3*z - 3*l = 24 for z.
5
Let z(w) = -w. Let g be z(-4). Solve 2 = -3*s + 2*a, 2*s + 4*a = 6*s - g for s.
-4
Let p = 33 - 23. Suppose 0*o = a - 2*o - 4, 5*o = -p. Solve 5*k = z - 8 - 5, k - 2*z - 1 = a for k.
-3
Let x(p) = p**2 + p. Let f be x(-3). Let c(o) = -o**3 + 6*o**2 + o - 6. Let a be c(f). Suppose 3 - 8 = -g. Solve 4*b - 45 = -g*w, a = -w - 0*b + b for w.
5
Suppose 0 = 3*r + 3 - 6. Let a be r/(-2 - 0)*-6. So | {
"pile_set_name": "DM Mathematics"
} |
*3. Let v(y) = -y**5 - 3*y**4 - 2*y**3 + 2*y**2 - y - 1. Let u(c) = 2*h(c) + v(c). Factor u(o).
(o - 1)**3*(o + 1)**2
Factor 3*m**4 + 0*m**4 - 16*m**3 + 7*m**3 - 13*m + 25*m.
3*m*(m - 2)**2*(m + 1)
Let n = 1919 - 1916. Let m(l) be the second derivative of -1/60*l**5 + 0 + 1/18*l**n - 1/36*l**4 + 2*l + 1/6*l**2. Let m(a) = 0. Calculate a.
-1, 1
Let r(q) be the first derivative of q**6/24 + q**5/20 - 9*q**4/16 - 3*q**3/4 - 88. Factor r(y).
y**2*(y - 3)*(y + 1)*(y + 3)/4
Suppose 3*g + 1 = 7. Factor -7*r**2 + 6*r**3 + g*r**4 - 5*r**4 + 0*r**2 + 4*r**2.
-3*r**2*(r - 1)**2
Let d = -82/3 + 1199/42. Let w = 9/7 + d. Find n, given that w*n**2 + 1/2*n**4 + 2*n**3 + 0 + n = 0.
-2, -1, 0
Let q(x) be the second derivative of -1/4*x**3 - x + 11 - 1/20*x**6 + 3/40*x**5 + 1/8*x**4 + 0*x**2. Suppose q(r) = 0. Calculate r.
-1, 0, 1
Factor -7/4 + 2*z - 1/4*z**2.
-(z - 7)*(z - 1)/4
Let o = 15352952/85 - 180626. Let v = o - -72/17. Solve 9/5*f - 9/5*f**3 + 6/5 - v*f**2 = 0 for f.
-1, -2/3, 1
Let c(a) be the third derivative of -17*a**5/240 - a**4/96 - 2*a**2 + 439. Find v such that c(v) = 0.
-1/17, 0
Solve 25*g**3 - 20*g**4 - 14322 + 14322 + 5*g**5 - 10*g**2 = 0 for g.
0, 1, 2
Let o = 1202/3 - 400. Let g(u) be the first derivative of 0*u + 1/3*u**2 - o*u**3 - 9 - 2/3*u**4. Suppose g(n) = 0. What is n?
-1, 0, 1/4
Let c be 5 + 0/(-7) + -6. Let q be -1 + c*9/(-6). Factor 0*i**2 - i + q*i**4 - 1/2 + i**3.
(i - 1)*(i + 1)**3/2
Let w(k) = 7*k**2 - 9*k - 4. Let r(s) = s**2 + s - 1. Let b(d) = 2*d**2 - 12*d + 1. Let q(h) = b(h) + 4*r(h). Let z(j) = 6*q(j) - 5*w(j). Factor z(u).
(u - 2)*(u - 1)
Suppose 0*b - 5*b - 65 = 0. Let k = b + 18. Suppose k*o**3 - 3*o - 4*o**5 + o**5 - 3*o**3 + 4*o**3 = 0. Calculate o.
-1, 0, 1
Let u be ((-38)/(-2) - 9680/704)*(-2)/(-7). Suppose 0 = -5*h + 2*h + 9. Factor u*p**2 + 1/2*p**h + p + 0.
p*(p + 1)*(p + 2)/2
Suppose 4*g = -g - 60. Let z be 1*2*(g + 15). Let i(x) = 8*x**3 + 12*x**2 + 8. Let k(m) = m**3 + m**2 - m + 1. Let d(p) = z*k(p) - i(p). Factor d(a).
-2*(a + 1)**3
Let f be 78/(-195) + (-5)/((-50)/144). Let -15*u**2 - 10 + f + 0 - 35*u + 26 = 0. What is u?
-3, 2/3
Let o(f) = f**5 + f**4 + f**2. Let d be (-1 + -3)/12*-3. Let t(p) = p**5 + 11*p**4 - 20*p**3 - 84*p**2 + 80. Let c(g) = d*t(g) + 4*o(g). Factor c(q).
5*(q - 2)*(q - 1)*(q + 2)**3
Let c(n) be the third derivative of -n**7/210 + n**6/30 - n**5/10 + n**4/6 - n**3/6 + 12*n**2 + n. Factor c(b).
-(b - 1)**4
Let v(l) = 7*l**4 + 49*l**3 + 73*l**2 + 35*l + 2. Let n(f) = 15*f**4 + 100*f**3 + 145*f**2 + 70*f + 5. Let h(b) = -2*n(b) + 5*v(b). Factor h(p).
5*p*(p + 1)**2*(p + 7)
Let k be 56/(-532) + (1916/152 - 2). Let k*x**2 - 3/2*x**3 - 45/2*x + 27/2 = 0. What is x?
1, 3
Suppose -5*w - 4 = 4*d + 11, -4*w = 3*d + 12. Let j(a) be the third derivative of -1/7*a**3 + 1/140*a**5 + d - a**2 - 1/56*a**4 + 0*a. What is x in j(x) = 0?
-1, 2
Let 953*c - 100 + 0*c**4 + 95*c**2 - 45*c**3 - 908*c + 5*c**4 = 0. What is c?
-1, 1, 4, 5
Let n be (-1168)/144 + (144/40)/(4/10). Factor -n*o + 0 + 8/9*o**2 - 2/9*o**3.
-2*o*(o - 2)**2/9
Let n be (5/(-45)*22)/((-16)/6). Let i = -7/12 + n. Factor 1 + 4/3*x + i*x**2.
(x + 1)*(x + 3)/3
Suppose k = -2*p - 0*k + 61, -4*k - 64 = -3*p. Suppose 20 - 96*y**3 - 46*y**4 - 2 + 18*y**2 + p*y + 47*y + 10*y**4 + 21*y**5 = 0. Calculate y.
-1, -2/7, 1, 3
Let c be (-1)/(558/134) - 3/(-27). Let u = 82/155 + c. Factor 0 - u*t + 1/5*t**2.
t*(t - 2)/5
Let o be 12*(-1 + 3/2). Let m be (o/(-2))/(3/(-3)). Factor 6*s**2 - 2*s - m*s**3 - 6*s**4 + 3*s**4 + 2*s.
-3*s**2*(s - 1)*(s + 2)
Solve -1/5*h**5 + 28/5*h**2 + 12/5*h**3 - 1/5*h**4 + 0 + 16/5*h = 0.
-2, -1, 0, 4
Let d = 31581/2 + -15790. Suppose 1/6*b**5 - 2/3*b**3 - 1/3*b**2 + 1/3*b**4 + 0 + d*b = 0. What is b?
-3, -1, 0, 1
Suppose 0 = 5*a - 2 - 28. Let f(c) = -4*c**3 + c**2 - c - 2. Let d be f(-1). Factor 0*p**d - 11*p**4 + a*p**4.
-5*p**4
Let n = 16 - 18. Let u be (-11 + 3)/(-2) - n. Factor 0*l - 8*l + 1 + l**2 + u*l.
(l - 1)**2
Let v(d) be the first derivative of d**8/3360 + d**7/1680 - 16*d**3/3 + 19. Let j(z) be the third derivative of v(z). Factor j(t).
t**3*(t + 1)/2
Factor 0 + 1/4*o**2 - 6*o + 6*o**3 - 1/4*o**4.
-o*(o - 24)*(o - 1)*(o + 1)/4
Let i(p) be the third derivative of -p**6/40 + 771*p**5/20 - 198147*p**4/8 + 16974593*p**3/2 + 582*p**2. Let i(c) = 0. What is c?
257
Let v(o) be the third derivative of -o**5/36 - 5*o**4/2 - 55*o**3/2 - 112*o**2. Let v(d) = 0. What is d?
-33, -3
Let r(c) be the first derivative of 2*c**5/5 + c**4 - 16*c**3/3 - 18*c**2 - 18*c + 112. Factor r(l).
2*(l - 3)*(l + 1)**2*(l + 3)
Suppose -t - 5 = -1. Let a be t/2 + (-120)/(-55). Suppose -4/11 + 2/11*h**2 - a*h = 0. What is h?
-1, 2
Let 4967 + 974*p + p**2 + 1922 - 1140*p = 0. Calculate p.
83
Let b(j) = 12*j**3 - 8*j**2 + 6*j + 5. Let x(v) = 38*v**3 - 24*v**2 + 18*v + 16. Let q(r) = 16*b(r) - 5*x(r). Determine t, given that q(t) = 0.
0, 1, 3
Suppose -10*s + 36 = 16. Let l(w) be the second derivative of -3/20*w**5 + 0 - 2*w - 3/2*w**3 - 3/2*w**s - 3/4*w**4. Factor l(u).
-3*(u + 1)**3
Let c(j) be the third derivative of 0*j**4 - 11/420*j**7 + 0*j - 1/120*j**5 + 5/672*j**8 - 13*j**2 + 0*j**3 + 0 + 7/240*j**6. Determine m, given that c(m) = 0.
0, 1/5, 1
Factor -88*o**3 + 35*o**3 - 9*o + 12*o**4 - 6 + 8*o**3 + 48*o**2.
3*(o - 2)*(o - 1)**2*(4*o + 1)
Let s be (15/(-35))/(18/(-126)). Factor 0*l + 2/5*l**5 + 6/5*l**4 + 6/5*l**s + 2/5*l**2 + 0.
2*l**2*(l + 1)**3/5
Let o = -212/23 + 2802/299. Let -o*d**3 + 0*d + 0 + 0*d**2 + 2/13*d**4 = 0. What is d?
0, 1
Let m(s) be the second derivative of -s**6/210 - s**5/60 + s**4/12 - s**3/14 + 11*s**2/2 + 14*s. Let t(k) be the first derivative of m(k). Factor t(o).
-(o - 1)*(o + 3)*(4*o - 1)/7
Let n(d) = d**3 - 10*d**2 + 8*d + 15. Let p be n(9). Factor -2*o**4 + 4*o**3 - 5*o**3 - p*o**4 + 4*o**5 + 5*o**3.
4*o**3*(o - 1)**2
Suppose 2/3*v**2 - v + 0 + 1/3*v**3 = 0. Calculate v.
-3, 0, 1
Suppose 312/5 - 3*b**2 - 774/5*b = 0. What is b?
-52, 2/5
Let p(m) be the third derivative of 0 + 0*m - 31*m**2 - 1/120*m**5 - 1/240*m**6 + 0*m**3 + 0*m**4. Factor p(v).
-v**2*(v + 1)/2
Let k(n) be the second derivative of 17*n + 1/2*n**6 + 0*n**2 + 1/2*n**5 + 0*n**3 + 0*n**4 + 5/42*n**7 + 0. Factor k(l).
5*l**3*(l + 1)*(l + 2)
Let k(o) be the third derivative of -o**7/42 - o**6/24 + 3*o**5/4 - 55*o**4/24 + 10*o**3/3 - 882*o**2. Factor k(s).
-5*(s - 1)**3*(s + 4)
Let n(l) be the first derivative of 0*l**2 + 12 + 2/3*l**3 + 0*l + 1/2*l**4. Solve n(c) = 0.
-1, 0
Factor 0 + 0*o + 2/3*o**2 + 2/3*o**4 + 4/3*o**3.
2*o**2*(o + 1)**2/3
Suppose 5*b = -12 + 2, k + 6 = -3*b. Let h(v) be the third derivative of 1/120*v**5 + 0 - 1/12*v**3 - 8*v**2 + k*v + 1/32*v**4. Factor h(s).
(s + 2)*(2*s - 1)/4
Let j be (-2*(-8)/(-6))/(17/((-306)/12)). Factor 0*f**2 - 2/9*f**j + 0*f + 0 + 0*f**3 + 2/9*f**5.
2*f**4*(f - 1)/9
Let t = 52 + -35. Let x = 22 - t. Factor 0*m**x + 6*m**3 + 4*m**3 + 6*m + 10*m**2 + 5*m**4 - m + 1 + m**5.
(m + 1)**5
Let n be 21/(-70)*40/(-60). Suppose -n*d**2 + 1/5*d**4 + d**3 - 1/5*d**5 - 8/5*d - 4/5 = 0. What is d?
-1, 2
Suppose -39/2*s + 18 + 3/2*s**2 = 0. Calculate s.
1, 12
Let v(s) be the second derivative of s**6/10 - 3*s**4/4 + s**3 - 26*s. Solve v(u) = 0 for u.
-2, 0, 1
Let x(d) be the second derivative of -5/3*d**3 + 0 - 40*d + 0*d**2 + 1/6*d**6 - 3/4*d**5 - 25/12*d**4 + 5/42*d**7. What is j in x(j) = 0?
-1, 0, 2
Suppose -3 = -3*q - 3*z, 6*q - 8*q - 3*z - 1 = 0. Let t(x) be the first derivative of 3/4*x**q - 3 + 0*x + 0*x**3 + 0*x**2. What is h in t(h) = 0?
0
Let a(t) be the third derivative of -t**6/300 - 17*t**5/150 - 31*t**4/60 - t**3 + 6*t**2 + 6. Find c, given that a(c) = 0.
-15, -1
Let h(l) be the second derivative of 2*l**7/21 + 22*l**6/5 + 318*l**5/5 + 766*l**4/3 + 470*l**3 + 450*l**2 - 171*l. Factor h(v).
4*(v + 1)**3*(v + 15)**2
Let k be ((-12)/(-14))/((-37)/((-17612)/663)). Find b, given that 22/13*b**2 - 2/13*b**4 + 0 - k*b**3 - 12/13*b = 0.
-6, 0, 1
Let h be (((-3300)/(-175))/(-33))/(-1). Factor h - 2/7*i**3 + 8/7*i**2 - 10/7*i.
-2*(i - 2)*(i - 1)**2/7
Let y(p) = -p**2 - 4*p + 1. Let f = -11 - -17. Suppose -11 = -5*h - f. Let k(r) = 1. Let i(a) = h*y(a) - 5*k(a). Suppose i(w) = 0. Calculate w.
-2
Let m(d) be the first derivative of 5*d**6/6 + 13*d**5/5 + 11*d**4/4 + d**3 + 106. Factor m(k).
k**2*(k + 1)**2*(5* | {
"pile_set_name": "DM Mathematics"
} |
(v) = 4*v**3 - 16*v**2 + 8*v - 8. Is 12 a factor of d(4)?
True
Suppose -4*z - p = -3608, 113*p = 111*p. Does 28 divide z?
False
Let s(h) = -h**3 - 32*h**2 + 43*h - 26. Is s(-36) a multiple of 10?
True
Let x(p) = -2*p**3 - 15*p**2 + 8*p - 5. Is x(-11) a multiple of 4?
False
Suppose -22 = -2*l - 0*u - u, 0 = -4*l - 3*u + 44. Let p = -9 + l. Suppose 28 = p*a + 2*a. Is 3 a factor of a?
False
Let q(r) = -2*r + 5. Let l(b) = b - 3. Let t(y) = 9*l(y) + 4*q(y). Let v be t(10). Suppose -v*c = -3*d - 114, -2*c + 4*c = -4*d + 52. Does 19 divide c?
False
Let w(g) be the third derivative of -g**4/4 - 5*g**3/6 - 14*g**2. Is 3 a factor of w(-2)?
False
Does 5 divide (5 - -25)/6 - -130?
True
Suppose 5*n - 3375 = -5*f - 1270, -5*n - 1287 = -3*f. Does 53 divide f?
True
Suppose 4*o + 2*o + 30 = 0. Let m = -17 - -32. Let v = m + o. Is v a multiple of 10?
True
Let f be -3*((-32)/(-12) + -3). Let t be (f/2)/(2/20). Suppose 0*o - 300 = -5*p + 2*o, -3*p = -t*o - 180. Is 11 a factor of p?
False
Suppose 163 = 2*o - 125. Is 17 a factor of o?
False
Let z be 27/6 - 4/8. Let q(v) = v + 2. Let w(l) = 2*l + 5. Let u(m) = z*w(m) - 11*q(m). Is u(-5) a multiple of 8?
False
Does 21 divide (-45)/(-60) - (-3267)/12?
True
Suppose j + j = -8, 1035 = 3*s + 3*j. Does 42 divide s?
False
Suppose 3*f = 7*f. Let t be f - 2/8*4. Does 4 divide 4*-2*t/2?
True
Suppose 33*p + 9*p - 11340 = 0. Is p a multiple of 45?
True
Let z be (-2 - (-8)/3)*18. Let f be (45/z)/(2/32). Is 4 a factor of (f/(-21))/((-2)/7)?
False
Let g be 9/(-6) - (-132)/(-8). Does 27 divide 158/6 - 12/g?
True
Let x(l) = -10*l**2. Let u be x(1). Let h = 15 + u. Suppose 5*w - 25 = h*b, 6*b = 2*w + 2*b - 4. Is 2 a factor of w?
True
Let m = 126 - -71. Let s = m - 109. Does 7 divide s?
False
Suppose 39791 - 11391 = 40*k. Is 14 a factor of k?
False
Let n(t) be the first derivative of -5*t**4/4 - 4*t**3/3 - 3*t**2/2 - 4*t + 2. Let p be n(-3). Is (1 - 2)/((-4)/p) a multiple of 9?
False
Let l(h) = -h**2 + 4*h - 2. Let g be l(3). Does 5 divide 30/(3*g/2)?
True
Let j be 3/((-5)/80*-4). Suppose 0 = -j*a - 57 + 537. Is a a multiple of 8?
True
Suppose 0 = -4*p - p + 20. Let y be 16 + p/((-4)/(-1)). Let j = y + 8. Does 11 divide j?
False
Let a(m) = 110*m**3 - 2*m**2 + 2*m. Let h(g) = g**3 - 14*g**2 - 15*g + 1. Let s be h(15). Does 5 divide a(s)?
True
Let a be (-180)/(22/(-6) + 3). Suppose -2*z = -2*k - 240, a + 90 = 3*z + 3*k. Does 28 divide z?
False
Let y(j) = -j**2 - 27*j + 60. Suppose -26 + 103 = -3*z - 4*f, 4*f = 4. Is y(z) a multiple of 10?
True
Let p(r) = -7 + 5*r + 19 + 13*r. Is 20 a factor of p(6)?
True
Is 36 a factor of 52/234*18/1 + 284?
True
Let j be -1*(4 + -3 + 6). Let x(u) = -u**3 - 6*u**2 - 2*u + 13. Is 16 a factor of x(j)?
False
Let r be (-1)/(-3) + 6560/30. Let m = r + -131. Does 22 divide m?
True
Suppose 0 = y - 4*n + 22, 0 = -n + 4 - 0. Let d = 42 - y. Is 16 a factor of d?
True
Suppose m = 2*w + w + 236, w = 3*m - 92. Let l = w - -149. Suppose 0 = 3*z - l - 48. Does 9 divide z?
False
Let w = 80 - 38. Suppose -4*n + n + w = 0. Is 14 a factor of n?
True
Let b be 12/14*14/3. Does 28 divide (-12)/8 - (-118)/b?
True
Suppose -2*x - 4*b + 66 = -38, 185 = 5*x - 5*b. Let y = x + 9. Does 19 divide y?
False
Suppose 103*s + 740 = 108*s. Is s a multiple of 37?
True
Suppose 193 = 5*i - 4687. Does 16 divide i?
True
Let l be (2 - -6)*(-17 + 5). Let s be (3/(-6))/((-1)/l). Is (51/(-4))/(18/s) a multiple of 13?
False
Is 379 + 9/(27/(-15)) a multiple of 13?
False
Suppose -966 = -3*k - 342. Does 13 divide k?
True
Suppose 25 = 5*x, 6*n - x + 10 = 11*n. Is 20 a factor of 1 + 37 + (-3 - (-6)/n)?
False
Let u be ((-6)/5)/((-18)/60). Suppose -67 = -3*m - u*k, 20 = m + 2*k - 3*k. Is 7 a factor of m?
True
Let f = -30 - -35. Suppose -f*y + 2*y = -21. Is 7 a factor of y?
True
Suppose -o + 6 = 2*n, 14 = 6*n - 2*n + 3*o. Let h be (0 - (n + -3)) + 3. Is 13 a factor of 2 + 38 + 3 - h?
True
Suppose -7*x - 2676 = -19*x. Is x a multiple of 7?
False
Is (-21)/(105/(-430)) + (-1 - 1) a multiple of 7?
True
Let s(m) = 2*m**2 + 5*m - 1. Let h be s(-5). Suppose h*d - 6*d - 3024 = 0. Is 24 a factor of d?
True
Suppose 0 = p + 7*m - 3*m - 1, 4*p + 4*m + 8 = 0. Let b = 5 - p. Suppose -l - 5*w + 33 = 0, 0*w + 2*w = b. Is l a multiple of 11?
False
Let j = 18 - 1. Let o = 44 - j. Is 8 a factor of o?
False
Let i = -3 - 1. Let j be i/10 + 285/25. Suppose -j*d + 9*d = -48. Does 9 divide d?
False
Suppose 6*b - 17 = -83. Let c = -8 - b. Suppose 4*q = -4, -c*g - 47 = -8*g - 3*q. Is 5 a factor of g?
True
Let d(m) = 5*m + 135. Is 3 a factor of d(-9)?
True
Suppose 5*u + 0*u - 30 = 0. Suppose -3*y = -6*y - u. Is 10 a factor of 472/24 + y/(-6)?
True
Let w(m) = 39*m**3 + 5*m**2 - 6*m + 12. Does 78 divide w(3)?
True
Let c = -2186 + 3190. Is 17 a factor of c?
False
Let z(k) = -k**3 - 7*k**2 + 5. Let p be z(-7). Suppose -4*x + 6 = -p*x. Is 9 a factor of (-267)/x + (-4)/(-8)?
True
Let u(d) = -25*d**3 - 2*d**2 + 1. Suppose -4*m + 4*y + 11 = -5, -3*m - 2*y = 13. Does 6 divide u(m)?
True
Let v(x) = x**2 + 16*x - 15. Let k be v(-17). Suppose 5*d - 2 = -u, 2*d + 2 = k*u - 2. Suppose -f + z = -3*f + 9, 5*f - u*z - 36 = 0. Is f a multiple of 6?
True
Let c(s) = -2. Let w be 1/(3 + (-42)/15). Let x(p) = p + 2. Let v(t) = w*c(t) + 4*x(t). Is v(2) a multiple of 6?
True
Suppose -5*j + 98 = -0*z - 2*z, 32 = 2*j + z. Does 9 divide j?
True
Let t be (-6)/(10/4 - 4). Suppose 4*z - 160 = -h + 84, -4*z - t*h = -256. Is 15 a factor of z?
True
Let x = 968 + -626. Is 74 a factor of x?
False
Let r be 9/(-2)*(-2)/3. Suppose a - 2*z - r = -z, 3 = -2*a - z. Suppose -4*p + y + 32 = 0, -5*p - y + 26 + 14 = a. Is 3 a factor of p?
False
Let m(z) = z + 3 - 7 + 3 - 2*z. Let f be m(-7). Let s(c) = 5*c - 9. Does 5 divide s(f)?
False
Let y(c) = c**3 + c**2 + c - 3. Let r be y(0). Let b(o) = o + 13. Let d(p) = 2*p + 25. Let n(m) = r*d(m) + 7*b(m). Does 2 divide n(-14)?
True
Suppose -5*o - 2*l - 412 = -1159, 5*o - 743 = 2*l. Suppose 3*z - 101 = -5*i + o, -5*z - 5*i + 430 = 0. Is z a multiple of 33?
False
Let c(r) = 5 - 2*r**2 + 2*r + 10 - 2*r**3 - 12. Let l be c(-2). Is 9 a factor of (26/(-5))/(l/(-70))?
False
Let k = -46 - -51. Suppose 435 = 4*v - k. Is 31 a factor of v?
False
Let i(p) = -2*p**3 + 5*p + 12. Does 2 divide i(-2)?
True
Is 611 + -4 - 5 - 0 a multiple of 7?
True
Suppose 2*h + 2*h = -12. Let o be -1*(0/h)/2. Suppose o = -3*j - j + 8. Is 2 a factor of j?
True
Let t = 3 + 2. Let c be t/((-20)/8) - 8. Does 11 divide (88/(-10))/(c/25)?
True
Let r be (59835/(-65))/(-3) - 2/(-13). Let w = r + -217. Is 18 a factor of w?
True
Let x be (1/(-5))/((-4)/20). Suppose -x = s - 3. Is 12 a factor of s/(-14) + (-127)/(-7)?
False
Let c(g) = -g**2 + 12*g - 15. Let y be c(10). Let q be 1/y + 3/(-15). Let i = q - -2. Is 2 a factor of i?
True
Let u(h) be the third derivative of -h**5/60 - 2*h**4/3 + h**3/3 - 2*h**2. Let c(y) = -y**2 - 4*y + 9. Let p be c(-7). Is u(p) a multiple of 10?
True
Let j(s) = -31*s**3 + 2*s**2 + s. Let d be j(-1). Let m = 32 + d. Is m a multiple of 8?
True
Let s = -3702 - -5356. Is 20 a factor of s?
False
Let y(v) = v**3 + 6*v**2 - 2. Let o be y(-6). Let a = o - -41. Does 6 divide a?
False
Let u be ((-38)/(-19))/((-2)/(-28)). Suppose -5*i - u = -m, m = 3*m + 4*i - 84. Does 19 divide m?
True
Let z = 6 + -4. Suppose -11 = -5*l - 4*u, 0 = 2*l - 2*u - z*u + 18. Is 4 a factor of 26/5 - l/(-5)?
False
Let h = -59 - -10. Is (-4 - -3) + h/(-2)*2 a multiple of 16?
True
Let i be 2*((-2)/(-6))/(2/(-3)). Does 42 divide -1 - (i + (-188)/(12/3))?
False
Let x(b) be the second derivative of b**5/20 + b**4/12 + b**3/6 + 4*b**2 + 14*b. Let d(a) = a + 11. Let g be d(-11). Is 4 a factor of x(g)?
True
Let f = 6 + -6. Suppose f = -5*d + 53 + 112. Suppose 9 + d = 3*j. Does 7 divide j?
True
Let c(w) be the first derivative of w**3 + w**2/2 + 2. Let x be c(-1). Suppose -4*f + 3*s = -x*f - 121, 0 = -5*s + 25. Does 32 divide f?
False
Let m be (-26)/13 + 4/1. Let f(r) = 2 - m*r + 0*r + 34*r**3 + 0*r**2 + 0 + r**2. Does 7 divide f(1)?
True
Let l be 63*1*(0 - 1). Let o = -34 - l. Let t = o + -7. Does 16 divide t?
False
Suppose -28*l + 12067 = -2381. Is l a multiple of 86?
True
Let u(s) = -108*s + 40. Let b(k) = -53*k + 20. Let l(t) = 13*b(t) - 6*u(t). Does 15 divide l(-5)?
True
Let k be (((-1)/(-2))/(-1))/((-2)/976). Let x = k + -114. D | {
"pile_set_name": "DM Mathematics"
} |
0181385 to 3 dps.
-0.102
Round -934.8294 to the nearest one hundred.
-900
What is 0.0149856 rounded to 4 dps?
0.015
What is 984.443 rounded to the nearest integer?
984
Round -86981.23 to the nearest 1000.
-87000
What is -7.218521 rounded to 1 dp?
-7.2
Round 1353.656 to the nearest one hundred.
1400
What is 0.3993051 rounded to three decimal places?
0.399
Round -6.2066 to the nearest 10.
-10
Round -9.87127 to 2 dps.
-9.87
Round 10.259205 to zero decimal places.
10
What is 0.02543201 rounded to 3 decimal places?
0.025
Round -22.3042 to zero decimal places.
-22
What is 0.0001569893 rounded to six dps?
0.000157
Round 2.4354309 to 2 dps.
2.44
What is -0.02023282 rounded to 5 dps?
-0.02023
Round -0.00016758301 to 5 decimal places.
-0.00017
Round -12600.8 to the nearest 1000.
-13000
Round -0.007074456 to three decimal places.
-0.007
Round -0.001253595 to five decimal places.
-0.00125
What is 0.1193138 rounded to two decimal places?
0.12
What is -0.000000208553 rounded to 7 decimal places?
-0.0000002
Round 723852 to the nearest 100000.
700000
What is 658682 rounded to the nearest one thousand?
659000
Round 0.0001410821 to 5 decimal places.
0.00014
What is 38.945384 rounded to two decimal places?
38.95
Round 0.000225105 to four dps.
0.0002
Round -51.6052 to the nearest ten.
-50
What is 392114 rounded to the nearest 1000?
392000
What is -0.25156011 rounded to three decimal places?
-0.252
What is -0.003965447 rounded to four dps?
-0.004
Round 39800.27 to the nearest 100000.
0
What is -0.01928969 rounded to 2 dps?
-0.02
Round -6010.639 to zero dps.
-6011
What is 0.004593111 rounded to 3 decimal places?
0.005
Round 2191.176 to zero decimal places.
2191
Round -0.20395523 to 4 dps.
-0.204
What is -0.1506579 rounded to 2 decimal places?
-0.15
What is 0.8403108 rounded to 2 dps?
0.84
Round -32.3309 to the nearest 10.
-30
What is -124.7171 rounded to 1 decimal place?
-124.7
What is -7248491.2 rounded to the nearest one million?
-7000000
Round -0.00129617 to six decimal places.
-0.001296
What is 0.0000029199 rounded to 6 dps?
0.000003
What is -1429.319 rounded to the nearest 100?
-1400
What is 1763.952 rounded to the nearest integer?
1764
What is 0.0000166298 rounded to 5 dps?
0.00002
Round 0.000086457588 to five decimal places.
0.00009
What is -1.835324 rounded to the nearest integer?
-2
What is 0.0000127012 rounded to 5 decimal places?
0.00001
Round -0.004671615 to 6 dps.
-0.004672
Round 1137.483 to the nearest 10.
1140
What is -0.058949 rounded to 1 decimal place?
-0.1
What is -0.000185077 rounded to 5 dps?
-0.00019
Round 56000.71 to the nearest one hundred.
56000
Round -4495300 to the nearest one million.
-4000000
What is -0.03964646 rounded to 5 decimal places?
-0.03965
Round -0.00004275612 to six dps.
-0.000043
Round -0.004677052 to four decimal places.
-0.0047
What is -581198 rounded to the nearest ten thousand?
-580000
What is 0.00889614 rounded to five dps?
0.0089
Round 0.0000303083 to 6 decimal places.
0.00003
What is 15240976 rounded to the nearest ten thousand?
15240000
What is 225484.6 rounded to the nearest one thousand?
225000
Round 0.1710254 to four dps.
0.171
What is 888.116 rounded to the nearest one hundred?
900
Round 0.00005199651 to 5 dps.
0.00005
What is -0.052074 rounded to two decimal places?
-0.05
What is -742.6 rounded to the nearest ten thousand?
0
What is 0.061037 rounded to three dps?
0.061
What is 743991.3 rounded to the nearest 100000?
700000
What is -0.009457 rounded to three decimal places?
-0.009
What is 0.000000328306 rounded to 6 decimal places?
0
Round 0.006980503 to five dps.
0.00698
What is -0.0000010907014 rounded to seven decimal places?
-0.0000011
Round -0.0000282862 to 5 dps.
-0.00003
What is -0.000001054324 rounded to seven decimal places?
-0.0000011
What is -134.0417 rounded to the nearest 10?
-130
Round -0.00163814 to 5 dps.
-0.00164
What is 0.02850544 rounded to five dps?
0.02851
Round -3352.216 to the nearest ten.
-3350
Round 2.8294977 to two decimal places.
2.83
Round 2.1362 to 2 dps.
2.14
What is -384.19927 rounded to the nearest 10?
-380
What is -3092271 rounded to the nearest one hundred thousand?
-3100000
Round -0.0027223118 to five decimal places.
-0.00272
What is -3578.32 rounded to the nearest ten?
-3580
What is -0.00000924937 rounded to 6 dps?
-0.000009
What is 0.0000862334 rounded to 6 dps?
0.000086
What is 0.00011538731 rounded to five dps?
0.00012
What is -0.00180412 rounded to five dps?
-0.0018
What is -0.0000077911 rounded to six dps?
-0.000008
What is 18.428027 rounded to the nearest integer?
18
What is 166663966 rounded to the nearest 100000?
166700000
Round -0.00007842625 to five decimal places.
-0.00008
Round -0.0004774318 to five dps.
-0.00048
Round -511.81 to the nearest one hundred.
-500
What is -321836.5 rounded to the nearest one hundred thousand?
-300000
Round 0.0000056071 to 6 decimal places.
0.000006
Round -0.00004264965 to six dps.
-0.000043
Round -0.00366226 to 4 decimal places.
-0.0037
What is -1834.503 rounded to the nearest 100?
-1800
What is -0.00510382 rounded to five decimal places?
-0.0051
What is 0.01330344 rounded to three dps?
0.013
What is 0.0030318 rounded to 5 dps?
0.00303
Round -0.027644 to four decimal places.
-0.0276
What is -71689600 rounded to the nearest one hundred thousand?
-71700000
Round -0.0000061246438 to 6 dps.
-0.000006
Round -0.005295721 to six decimal places.
-0.005296
Round -20867.8 to the nearest one thousand.
-21000
What is -2.543709 rounded to 1 decimal place?
-2.5
What is -0.023368381 rounded to three decimal places?
-0.023
What is 0.0521857 rounded to three dps?
0.052
Round 0.0378042 to four decimal places.
0.0378
What is -30.535281 rounded to the nearest 10?
-30
What is 143.6766 rounded to the nearest ten?
140
What is -0.048055314 rounded to 3 decimal places?
-0.048
Round -0.1265582 to four dps.
-0.1266
Round 40.524089 to 1 dp.
40.5
Round -0.002443555 to four dps.
-0.0024
What is 0.0002285583 rounded to 6 decimal places?
0.000229
Round 1405.224 to the nearest integer.
1405
Round -0.007843536 to five decimal places.
-0.00784
What is -760832000 rounded to the nearest one million?
-761000000
Round -0.848569 to three decimal places.
-0.849
Round -77735.63 to the nearest 1000.
-78000
Round -0.00000039204298 to seven decimal places.
-0.0000004
Round 3.2145 to the nearest ten.
0
Round -718.98318 to one dp.
-719
Round -0.000866085 to 7 decimal places.
-0.0008661
What is -0.0293098 rounded to five dps?
-0.02931
Round -320.649 to the nearest integer.
-321
What is 0.49038053 rounded to three dps?
0.49
What is -0.597162 rounded to 1 dp?
-0.6
Round -340.521 to the nearest 100.
-300
What is -1.5876993 rounded to three dps?
-1.588
Round 0.14899103 to 4 dps.
0.149
What is 0.0004261897 rounded to four dps?
0.0004
What is -106.7068 rounded to the nearest 10?
-110
Round 30790350 to the nearest 10000.
30790000
Round -42.34787 to 1 decimal place.
-42.3
Round -2097.9754 to the nearest 100.
-2100
What is 3727964 rounded to the nearest one million?
4000000
Round 2676024.5 to the nearest 100000.
2700000
Round -10478336900 to the nearest one million.
-10478000000
Round -0.000001355264 to 7 dps.
-0.0000014
Round -104803 to the nearest 10000.
-100000
What is -0.0000436505 rounded to six decimal places?
-0.000044
What is -782.29 rounded to the nearest one hundred?
-800
What is -1556 rounded to the nearest 1000?
-2000
What is 405795 rounded to the nearest one hundred thousand?
400000
Round -0.0326984 to two dps.
-0.03
Round -1330560 to the nearest 10000.
-1330000
Round -0.00000103780632 to seven dps.
-0.000001
What is 8262.78 rounded to the nearest one hundred?
8300
What is 0.0000590768 rounded to 5 decimal places?
0.00006
What is -36432 rounded to the nearest one hundred thousand?
0
What is -36095520 rounded to the nearest 10000?
-36100000
Round -0.000155593 to 5 dps.
-0.00016
Round 155542060 to the nearest 1000000.
156000000
What is 45.72785 rounded to the nearest integer?
46
Round 415.115 to the nearest 100.
400
Round -0.0008879464 to 7 decimal places.
-0.0008879
What is -38.1514 rounded to 1 decimal place?
-38.2
Round 9.5516 to the nearest 100.
0
What is -46244200 rounded to the nearest 100000?
-46200000
What is -4.0173 rounded to one decimal place?
-4
What is 0.0000074748 | {
"pile_set_name": "DM Mathematics"
} |
. Let d = -0.53 + k. What is d rounded to three dps?
0.008
Let j = -59 - -57.15. Let b = -1.8499768 - j. What is b rounded to five decimal places?
0.00002
Let m = 42 - 37. Suppose g + m*g = -384. Let h be ((-11)/((-66)/g))/(4/(-453750)). What is h rounded to the nearest 100000?
1200000
Let k = -42.09 - -27. Let f = -15.087108 - k. What is f rounded to 4 decimal places?
0.0029
Let g = 812698 + -368168. What is g rounded to the nearest ten thousand?
440000
Suppose -10*i + 2033 = -2447. Suppose 2*v + 2688 - i = 0. Round v to the nearest one thousand.
-1000
Let y = -57650 - -46701.8. What is y rounded to the nearest 10?
-10950
Let i = 2280 - 11046. Round i to the nearest 1000.
-9000
Let u = -431 - 2343. Let b = u - -2774.0003698. Round b to five dps.
0.00037
Let x = -794 - -2546. Let h = x + 198. Suppose -b - h = 4*b. Round b to the nearest one hundred.
-400
Let t = -962255994634 - -962255995649.999999579. Let x = 1016 - t. What is x rounded to 7 decimal places?
0.0000004
Let p = -67.171566 - -0.052566. Round p to the nearest integer.
-67
Suppose -110*g + 105*g - 3*n = 234181, 2*n - 140501 = 3*g. Round g to the nearest ten thousand.
-50000
Let c = 123925.050383 + -123925. Round c to two decimal places.
0.05
Let g(a) = -1353487*a - 1104. Let h be g(8). Round h to the nearest one million.
-11000000
Let h = -0.80814 + 0.78414124. Let v = 170.124 + -170.1. Let d = h + v. What is d rounded to 6 decimal places?
0.000001
Let w = 12984481.39747967 + -10530028.577482. Let y = w + -2454453. Let v = y + 0.18. What is v rounded to seven dps?
-0.0000023
Let m = 644.58 + -758. What is m rounded to the nearest integer?
-113
Let x = -273754966 + 273754960.99999998. Let m = -2.57 - 2.43. Let a = x - m. What is a rounded to 7 decimal places?
0
Let d = 18264 - 18263.9987867. Round d to 4 dps.
0.0012
Suppose -2*l = a - 3*a + 29802, 0 = -2*l - 2. Let g = 26826 - a. Suppose 6*q + 674 = -g. Round q to the nearest one hundred.
-2100
Let i = -201 + 541. Let k = 100 - i. Let g = k + 187.1. Round g to zero decimal places.
-53
Suppose 34*i - 42*i = -72. Suppose 4464 + 1647 = -i*v. What is v rounded to the nearest 10?
-680
Let j = -876.8 + 877.047. What is j rounded to 1 decimal place?
0.2
Let j = 10022149.39531 - 10020993.4. Let n = j + -1156. Round n to 3 decimal places.
-0.005
Let a = 1.63136 - 1.683. Round a to 2 dps.
-0.05
Let y = 77.44264345 + 0.55736275. Let t = 92 - 14. Let n = t - y. Round n to six decimal places.
-0.000006
Let u = 600.7696 + -601. Let d = 0.1107 + u. Round d to two dps.
-0.12
Let j = 18 - 26. Let s = j - -8.3. Let t = s - 0.32. What is t rounded to three decimal places?
-0.02
Let m = 24.0259988159 + -24.026. What is m rounded to 7 decimal places?
-0.0000012
Let s = -136558697405 - 233257342182. Let f = 369816039944.999999658 + s. Let b = -358 + f. Round b to 7 dps.
-0.0000003
Let m = 571 - 563. Suppose -p + 5*j - 193825 = 0, 5*j = -p + m*j - 193815. Round p to the nearest ten thousand.
-190000
Suppose -130*x + 138*x = 3119872. Suppose 5*k - 2*k - 2*a + 389992 = 0, 3*k + x = 4*a. What is k rounded to the nearest one thousand?
-130000
Let h = 73.4 - 40. Let w = h - 19.5. Let f = w + -13.89999882. What is f rounded to 7 dps?
0.0000012
Let w = -64.515 + 226.398. Let v = w + -162. Let m = 1.113 - v. Round m to one decimal place.
1.2
Let k = -2055602950.6361507 - -2055603371. Let z = k + -120.3638134. Let i = 300 - z. Round i to six decimal places.
-0.000036
Let m = 0 + -410. Let x = m + 410.00626. What is x rounded to 3 decimal places?
0.006
Let u = -60 + 59.755. Let d = u + 0.24912. Round d to four decimal places.
0.0041
Let l(a) = -324*a**2 - 3*a + 6. Let x be l(2). Let q = -597 - x. What is q rounded to the nearest ten?
700
Suppose 5*w = 5*g - 1948100, -4*w + 1948109 = -4*g + 9*g. Suppose 7*b + 162119 = -g. Round b to the nearest one thousand.
-79000
Let b = -112.7005008 - -112.7. Round b to four dps.
-0.0005
Let m = 353.9 - 359. Let o = 6.967 + m. What is o rounded to one dp?
1.9
Let o = -113.357546 + 243.357447. Let s = 288 + -418. Let c = s + o. Round c to 5 decimal places.
-0.0001
Let y = -697438.9 - -697435.44000931. Let c = 3.46 + y. What is c rounded to seven dps?
0.0000093
Let n = -0.0381 + 2.7001. Round n to 1 decimal place.
2.7
Let o = -576 - -575.9653. Let r = 0.031404 + o. What is r rounded to 4 dps?
-0.0033
Let x = 45132.20617 - 45132. What is x rounded to two dps?
0.21
Let r = 34.373989 + -2.275733. Let b = r + -32.1. What is b rounded to 4 decimal places?
-0.0017
Suppose -2*u - 5*o = -20, 4*u + 0 = 2*o + 16. Suppose -5*t = -3*s - 10560005, -u*s + 6137922 = 2*t + 23737920. Round s to the nearest one million.
-4000000
Suppose -2*d + 27 = 23. Suppose d*m + 1734 = 8*m. Suppose 3*r + 2*y + 211 = 6*r, 4*r - m = -5*y. Round r to the nearest ten.
70
Let h = -43.308 + 246.038. Round h to the nearest 10.
200
Let c = -1641343870534 + 1641343791660.8399999. Let j = c + 78872.82. Let m = -0.34 - j. Round m to 6 dps.
0
Let b = -9240 - -8506.69. Let q = b + 744.16103. Let g = q - 10.84. Round g to 3 decimal places.
0.011
Let v = -163 - -278. Let l be (15088/v)/(4119/(-4125) + 1). Round l to the nearest one thousand.
90000
Let k = -3175 + 3237.06. Let v = 63 - k. Let q = -0.9400336 + v. Round q to 6 dps.
-0.000034
Let n be -4 + (-31)/(-7) - 12670485/21. Let h = -414756 - n. Round h to the nearest 10000.
190000
Let y = -40310 + 40309.959598. Round y to three decimal places.
-0.04
Let z = 1296405.99354 - 1296758. Let x = 208.8 - -143.2. Let j = x + z. Round j to 3 decimal places.
-0.006
Let y = -1465.17831 - 0.02169. What is y rounded to the nearest one thousand?
-1000
Let h be 6/(-39) + (-836605)/65. Suppose 2*z + 57716 = 6*z. Let w = z - h. Round w to the nearest 1000.
27000
Let u(t) be the third derivative of -193*t**5/60 - 7*t**4/24 - t**3/2 - 41*t**2. Let v be u(2). Round v to the nearest 100.
-800
Let a(t) = -t - 4. Let h be a(-6). Let z be (2602 - (-12)/(-3)) + h. Suppose 30*o + z = 25*o. What is o rounded to the nearest one hundred?
-500
Suppose 17*n - 21*n = 108. Let o be 98/(9/(n/(-6))*-1). What is o rounded to the nearest 10?
-50
Let z = 11028.0000023674 + -11028. What is z rounded to 7 decimal places?
0.0000024
Suppose -l = 3*l - 8. Let z(d) = -d - 3*d**2 + 2*d + 5*d + 5 + 9*d**l - 679*d**3. Let f be z(-5). What is f rounded to the nearest 10000?
90000
Let v = -24.6 - -17.64. Let l = v - 0.54. Round l to the nearest ten.
-10
Let l = -0.10972 - 8.63628. What is l rounded to zero decimal places?
-9
Let j(d) = 2*d**3 - 16*d**2 + 26*d + 32. Suppose 3*t - 3*n + 252 = 0, -4*t - n = -2*t + 153. Let a = t + 92. Let r be j(a). Round r to the nearest 100.
2100
Let j = 112757.16 - 3429822.66. Let v = -3316961.499874 - j. Let p = 104 - v. What is p rounded to five dps?
-0.00013
Suppose -8*p + 5*n = -3*p - 35, 2*p - 29 = 5*n. Let w(a) = 1606*a**2 + 5*a - 14. Let s be w(p). Round s to the nearest one thousand.
6000
Let v(c) = 4943*c**2 - 75*c - 450. Let y(x) = -1648*x**2 + 25*x + 150. Let r(s) = -3*v(s) - 8*y(s). Let n be r(-10). Round n to the nearest 10000.
-160000
Let u(i) = -30416*i - 312. Let h be u(43). What is h rounded to the nearest ten thousand?
-1310000
Let l = -1.83706628 + 1.837. Round l to 6 decimal places.
-0.000066
Let f = 1624.7 - 1624.699994379. Round f to 5 dps.
0.00001
Let r = -23154.968838 + 23155. Round r to 4 dps.
0.0312
Let d(j) = 13213*j + 2315. Let v be d(-55). Round v to the nearest ten thousand.
-720000
Let l = 0.17364 - 0.17375556. Round l to 5 dps.
-0.00012
Let v = -1506.5 - -1550. What is v rounded to the nearest ten?
40
Let g = -312 - -212. Let k = -178 - g. Let v = -78.00000124 - k. What is v rounded to 7 decimal places?
-0.0000012
Suppose -5*o - 5*i + 46 = -i, -3*i = -2*o + 23. Suppose 0 = o*m - 12*m + 692174. Let b = m - 246087. What is b rounded to the nearest 100000?
100000
Let g = 3.010071152 + 1014.989978748. Let y = g + -1018. What is y rounded to 5 dps?
0.00005
Suppose -94*i - 586401 = -97*i. Suppose -i = -37*r + 3671033. Round r to the nearest ten thousand.
100000
Let g = 2.6082 - 3.111. Let s = g + 0.094. What is s rounded to 2 dps?
-0.41
Let t = -1550 + 2340. Let w = 4661562017 + -4661562806.9999453. Let y = t + w. Round y to five dps.
0.00005
Let i = -1556.301698438 - -1556.317. Let p = 0.0153 - i. Round p | {
"pile_set_name": "DM Mathematics"
} |
- -39. Factor i*n + 3*n**2 - 6 + 0*n + 3.
3*(n - 1)*(n + 1)
Let d(w) be the second derivative of w**7/672 - w**6/288 - w**5/96 + 5*w**4/96 + w**3/3 - 2*w**2 + 31*w. Let p(i) be the second derivative of d(i). Factor p(t).
5*(t - 1)**2*(t + 1)/4
Let w(l) = -37*l - 1776. Let a be w(-48). Find z, given that a - 2/3*z + z**2 = 0.
0, 2/3
Determine k, given that -26/7*k**2 + 2/7 + 24/7*k = 0.
-1/13, 1
Let l(j) = 16*j - 6 - 6*j - j. Let c be l(2). Solve k**2 + 22*k - 2*k - 5*k**2 - 4*k**2 + c = 0 for k.
-1/2, 3
Let p = 885 + -18589/21. Let v = p - -6/7. Determine z so that 4/3*z**2 + 0 + v*z**5 + 0*z**3 - 2/3*z - 4/3*z**4 = 0.
-1, 0, 1
Let x(f) = -f**2 + 24*f - 41. Let h be x(22). Suppose 36/5*q**2 - 144/5*q - 3/5*q**h + 192/5 = 0. Calculate q.
4
Let v(d) = d**2 + 5*d + 4. Let x be v(-5). Suppose k - 185 = -x*k. Factor 10*l**4 - k*l**4 - 21*l**5 + 0*l**3 - 2*l**3 - 4*l**3.
-3*l**3*(l + 1)*(7*l + 2)
Suppose -95 - 88 = 38*w - 183. What is j in 1/9*j**4 + w + 2/9*j - 1/3*j**2 + 0*j**3 = 0?
-2, 0, 1
Let s be (0 - -1)/((-270)/369) - 0. Let w = s - -17/10. Factor 1/3*u**3 + 1/3 - 1/3*u - w*u**2.
(u - 1)**2*(u + 1)/3
Let -135/4*x**2 - 2835/8*x + 75/4*x**3 - 3969/8 - 3/8*x**5 + 15/8*x**4 = 0. Calculate x.
-3, 7
Let q be (-65)/78*(-5)/50*27. Let i(w) be the second derivative of -1/2*w**3 + 0 + q*w**2 + 1/24*w**4 - 8*w. Suppose i(o) = 0. What is o?
3
Suppose i = 2*p, i + i + 2 = 5*p. What is w in 81*w**4 + 60*w**p - 12*w + 56*w**4 - 33*w**3 - 242*w**4 = 0?
-1, 0, 2/7, 2/5
Let q(l) be the first derivative of -l**7/980 - l**6/210 + l**5/20 - l**4/7 + 34*l**3/3 - 3. Let s(m) be the third derivative of q(m). Factor s(o).
-6*(o - 1)**2*(o + 4)/7
Factor 4*w**4 + 45*w + 27 - 112*w**2 - 104*w**3 + 59 + 22 + 59*w.
4*(w - 27)*(w - 1)*(w + 1)**2
Let s(j) = j**3 - j**2 - 2*j + 24. Let r be s(0). Suppose 2*d = c + 10, -r = -4*d + 4*c - 0*c. Factor 1/5*f**d + 0*f**2 + 1/5*f**5 + 0*f + 0*f**3 + 0.
f**4*(f + 1)/5
Let q = -62 + 2419/39. Let o(v) be the third derivative of 0*v**5 + 1/78*v**4 - q*v**3 + 0 + 1/1365*v**7 + 0*v - 1/390*v**6 - 5*v**2. Let o(b) = 0. Calculate b.
-1, 1
Let -60800*x**3 + 960171 - 7000255 - 804*x**4 - 4*x**5 - 2060000*x**2 - 27000000*x - 18959916 = 0. Calculate x.
-50, -1
Let w = -13 - -85. Find l such that 32*l - 354*l**3 - 282*l**4 + 12 + 7*l - 63*l**2 - 90*l**4 - w*l**5 = 0.
-4, -1/2, 1/3
Let w(c) be the second derivative of -13*c**4/36 + 41*c**3/18 - c**2 - 323*c. What is b in w(b) = 0?
2/13, 3
Let i(l) = -l**4 - 4*l + 4*l - l. Let c(s) = -s**4 - 12*s**3 + 18*s**2 - 16*s + 3. Let m(p) = c(p) - 4*i(p). Factor m(d).
3*(d - 1)**4
Let v(n) be the second derivative of n**5/60 + 29*n**4/36 + 65*n**3/6 - 75*n**2/2 - 4*n - 16. Factor v(o).
(o - 1)*(o + 15)**2/3
Let j(u) be the second derivative of -u**7/1890 + u**6/1080 + u**5/270 - 3*u**2 - 13*u. Let s(b) be the first derivative of j(b). Let s(m) = 0. What is m?
-1, 0, 2
Solve -38/3*q - 88/3*q**3 - 16/3 + 133/3*q**2 + 3*q**4 = 0.
-2/9, 1, 8
Let g(r) = 20*r**2 + 28*r + 3. Let t(w) = 20*w**2 + 28*w + 2. Let h(c) = -6*g(c) + 5*t(c). Factor h(f).
-4*(f + 1)*(5*f + 2)
Let x(p) be the first derivative of 3/28*p**4 + 1/35*p**5 + 0*p + 1/7*p**2 - 1/42*p**6 - 17 - 5/21*p**3. Factor x(i).
-i*(i - 1)**3*(i + 2)/7
Let x(w) be the third derivative of 5*w**8/336 - w**6/8 - w**5/6 + 3*w**2 + 31*w. Factor x(l).
5*l**2*(l - 2)*(l + 1)**2
Let r(x) = x**3 + 6*x**2 + 7*x + 16. Let d be r(-5). Let v be ((-1)/d - 0)*(-15)/5. Determine h, given that v*h**2 + 1/2*h**3 + 0 + 0*h = 0.
-1, 0
Suppose 4*d - 105 = 111. Find r such that 20*r**3 - 85*r + 95*r - 5 - 19*r**2 + d*r**2 = 0.
-1, 1/4
Suppose 5*l - 20 = -o, 0 = 2*l - 14 + 6. Suppose -b + 4 = -o*b. Factor -27 + 160*c + 175*c**2 + 2*c**5 + 91 - 15*c**2 + 8*c**4 + 12*c**b + 80*c**3.
2*(c + 2)**5
Let m(r) be the first derivative of r**9/27216 - r**7/3780 + r**5/1080 + 7*r**3/3 - 36. Let v(w) be the third derivative of m(w). Find g, given that v(g) = 0.
-1, 0, 1
Suppose -3*o + 4*r + 40 = -o, -5*o - 4*r = -72. Let y = -16 + o. Factor 2/11*g**3 + y + 0*g - 4/11*g**4 + 2/11*g**5 + 0*g**2.
2*g**3*(g - 1)**2/11
Factor -2*a**4 + 12*a**2 + 27*a**2 + 17*a**2 + 83*a + 8*a**3 - 19*a.
-2*a*(a - 8)*(a + 2)**2
Let c(u) = -u - 10. Let l be c(-12). Suppose -3*x**l + 3 - 2*x**3 + x + 5*x**3 - 4*x = 0. Calculate x.
-1, 1
Suppose -1 = 5*x - 11. Suppose -2*l + 9 = l. Factor -2*d**l - 48 + 48 - 2*d**x.
-2*d**2*(d + 1)
Let t(m) be the first derivative of m**6/4 - 4*m**5/5 + 3*m**4/8 + m**3/3 + 13. Suppose t(i) = 0. Calculate i.
-1/3, 0, 1, 2
Let i be -23 - (-4225)/150 - (6 - 1). Factor -2/3 + 1/2*w + i*w**2.
(w - 1)*(w + 4)/6
Let h be 2 - ((-8)/2 - -4). Let n be (h - -1) + (-11 - -10). Factor 4*b**2 + 3*b**3 + 9*b - 7*b**2 + 7*b**n + 5*b**2 + 3.
3*(b + 1)**3
Let r(j) be the first derivative of 0*j + 1/3*j**4 + 0*j**3 + 0*j**2 - 6 + 2/9*j**6 - 2/3*j**5. Solve r(c) = 0 for c.
0, 1/2, 2
Let d be (0 - -2 - 5)/((-3)/10). Factor -4*c**2 + d + 2 - 10 + 2.
-4*(c - 1)*(c + 1)
Let j(q) = q**2 + 3*q - 1. Let n be j(-4). Suppose 0 = 302*i - 300*i. Let 4/5*l**2 + i*l + 0*l**4 + 2/5*l**5 - 6/5*l**n + 0 = 0. Calculate l.
-2, 0, 1
Suppose n + 14 = -n + p, -2*n - 6 = 3*p. Let f be ((3/(-27))/(-1))/(-1)*n. Find y such that 2/3*y + 2/3 - 2/3*y**2 - f*y**3 = 0.
-1, 1
Let u(p) be the second derivative of -p**4/42 + 40*p**3/7 - 17*p**2 + p - 52. Suppose u(r) = 0. Calculate r.
1, 119
Suppose 4*q + 295 = 5*r, q - 7*r = -4*r - 72. Let h = 75 + q. Suppose h - 1/2*p - 3/2*p**2 = 0. Calculate p.
-1/3, 0
Let i be ((-45)/(-36))/((-1)/(-4)). Suppose -4*u - 4 = -i*u. Determine n, given that -3 - 9*n + 3*n**u + 4*n + 6*n**3 + 5*n - 6*n = 0.
-1, 1
Suppose -49*c = -83*c + 68. Factor 0 + 9/2*x + 3/2*x**c.
3*x*(x + 3)/2
Let d(k) = 5*k**3 - 2*k + 2. Let i be d(1). Factor 2*v**4 - 22*v**5 + 8*v**i + 15*v**5 + v**3.
v**3*(v + 1)**2
Find p, given that 802 + 228*p**2 + 1198 + 600*p + 2*p**3 - 168*p**2 = 0.
-10
Suppose 12/5*q - 8 + 4/5*q**2 = 0. What is q?
-5, 2
Let b(r) be the third derivative of r**8/1008 + r**7/630 - r**6/120 - r**5/36 - r**4/36 + 61*r**2. Factor b(c).
c*(c - 2)*(c + 1)**3/3
Factor -97*m + 78 - 7*m**3 + 125/3*m**2 + 1/3*m**4.
(m - 13)*(m - 3)**2*(m - 2)/3
Let k(j) be the first derivative of j**5/50 + 3*j**4/40 - j**3/30 - 3*j**2/20 + 43. Factor k(n).
n*(n - 1)*(n + 1)*(n + 3)/10
Let a(g) be the third derivative of g**6/960 - 3*g**5/160 + 9*g**4/64 - 9*g**3/16 - 134*g**2. Factor a(u).
(u - 3)**3/8
Let z(o) = 9*o + 1. Let i be z(-1). Let d be (-20)/i - 1/(-2). Factor -3*x + d*x**3 + 2*x - 2*x.
3*x*(x - 1)*(x + 1)
Let b(z) = 17*z**3 - 4*z**2 - 47*z - 13. Let u(f) = -8*f**3 + 2*f**2 + 22*f + 6. Let h(v) = 6*b(v) + 13*u(v). Factor h(p).
-2*p*(p - 2)*(p + 1)
Let v(b) be the second derivative of -b**6/45 + 7*b**5/30 - b**4 + 20*b**3/9 - 8*b**2/3 - 37*b. Let v(y) = 0. Calculate y.
1, 2
Let -o**5 - 4*o**2 - 79 + 156 - 77 + 3*o**4 = 0. What is o?
-1, 0, 2
Let c be 0/(2/((-4)/2)). Let b(f) be the third derivative of -f**2 - 1/24*f**4 + 1/120*f**5 + c*f + 1/12*f**3 + 0. Factor b(n).
(n - 1)**2/2
Let r(q) = 6*q**4 - 81*q**3 - 316*q**2 - 420*q - 191. Let w(j) = j**4 - 16*j**3 - 63*j**2 - 84*j - 38. Let n(m) = -4*r(m) + 22*w(m). Factor n(c).
-2*(c + 1)**2*(c + 6)**2
Let c be 4/2 + (-6)/3. Suppose c = 5*z + 10, 1 - 15 = -5*v + 2*z. Factor -2 - 1/2*k**2 + v*k.
-(k - 2)**2/2
Suppose 0 = 213*m - 468 - 70 + 112. Suppose 0 = k + k - 6. Factor 1/5 - 3/5*r**4 + 1/5*r**5 + 2/5*r**k - 3/5*r + 2/5*r**m.
(r - 1)**4*(r + 1)/5
Let y(s) be the second derivative of 11*s**5/100 + 3*s**4/4 + 2*s**3/15 - 53*s - 2. Factor y(o).
o*(o + 4)*(11*o + 1)/5
Let x(w) be the second derivative of -w**4/24 - 7*w**3/6 - 33*w**2/4 + 121*w. What is v in x(v) = 0?
-11, -3
Determine w so that 6953*w**3 - 2*w**4 + 28*w + 4*w**2 - w**4 - 6981*w**3 - 4*w**4 + 3*w**4 = 0.
-7, -1, 0, 1
Factor -2/3 - 14/9*p - 4/9*p**2.
-2*(p + 3)*(2*p + 1)/9
Let i(o) be the second derivative of o**6/105 + 2*o**5/7 + 16*o**4/7 - 80*o**3/21 - 400*o**2/7 + 152*o. Determine z, given that i(z) = 0.
-10, -2, 2
Let k be 2/5*(-7)/84*-20. Factor -1/3*h**3 + 0 + k*h**2 + h.
-h*(h - 3)*(h + 1)/3
Let k be 14/21*6/2. Find m such that m**2 - k*m**2 - 3 - 6*m - 2*m**2 = 0.
-1
Let t(p) be the first derivative of -6 - 5/2*p**2 + 0*p + 2/33*p**3 - 1/660*p**5 + 0*p**4. Let q(d) be the second derivative of t(d). | {
"pile_set_name": "DM Mathematics"
} |
10) + 0))**2.
36*sqrt(5) + 1621
Simplify (sqrt(304) + -2 + 4 + -2 + -3)**2 + (-3 + sqrt(2299) + -1 + sqrt(2299) + 0 + -2)**2.
-288*sqrt(19) + 9545
Simplify 4 + (sqrt(640)*-2*6 - sqrt(640))/(sqrt(6)/sqrt(3)*-4*-3).
-26*sqrt(5)/3 + 4
Simplify ((-5 + (sqrt(2299) + 0)*3)*-4 - ((2 + sqrt(2299))*3 + sqrt(2299) + -4*(sqrt(2299) + 0) + sqrt(2299)))**2.
-4004*sqrt(19) + 388727
Simplify -3 + (0 + (sqrt(11)*3)**2 + 5 - (2*sqrt(176) - (sqrt(121)/(sqrt(11) + sqrt(44)) + sqrt(11))))*4.
-80*sqrt(11)/3 + 413
Simplify ((-6*(sqrt(1539) + -1 + sqrt(1539) + sqrt(1539)))**2*-2 + ((sqrt(1539)*2 + 1)**2 - (-4 + (sqrt(1539) - 2*sqrt(1539))**2)))*4.
-3970888 + 15696*sqrt(19)
Simplify (sqrt(198)/sqrt(396) - sqrt(36)/(1*sqrt(2)))/(sqrt(18)/sqrt(2)*3 + sqrt(225)*-1 + sqrt(225)).
-5*sqrt(2)/18
Simplify 5*(-1 + (-4*sqrt(16)/sqrt(36))/(sqrt(4)/(sqrt(2) - (2*sqrt(2) - sqrt(2))*5))) + -4.
-9 + 80*sqrt(2)/3
Simplify (5 + 1*(3 + sqrt(396) + sqrt(396))*-1 + -2 + sqrt(396) + 0 + (sqrt(396) - (4 + (sqrt(396) - sqrt(396)*-4))))**2.
240*sqrt(11) + 9916
Simplify (((sqrt(2448)*-4 + sqrt(2448) - sqrt(2448)) + sqrt(2448) - (3*sqrt(187))/sqrt(11)) + -6*(sqrt(272) - (sqrt(272) - sqrt(272)*1))*-6)**2.
187425
Simplify (((5*sqrt(280)*-2)/(sqrt(60)/(sqrt(24)/sqrt(4))))/((-3*sqrt(36))/sqrt(9) - sqrt(16)/((sqrt(8)/sqrt(2) - sqrt(4)) + sqrt(4))))**2.
175/4
Simplify -5 + 5*((0 + (sqrt(50) - (0 + sqrt(3200) + sqrt(3200))))**2 + 1)*-4.
-225025
Simplify -1*((-5*(sqrt(156)*-1 - sqrt(156)))/(sqrt(96)/(sqrt(8) + sqrt(200))) + -1)*-3 + 4.
1 + 180*sqrt(13)
Simplify (-4 + (-6*(3 + sqrt(153))*3 - (sqrt(153)*-2 + 2 - (sqrt(153) + sqrt(153)*-1 + 0))))**2.
5760*sqrt(17) + 42768
Simplify -5 + 0 + sqrt(252) + 2 + -1*(sqrt(1134) - (-1*sqrt(1134) - sqrt(1134)))/sqrt(2).
-21*sqrt(7) - 3
Simplify -5 + (sqrt(112)/sqrt(32) + sqrt(56) + sqrt(56) + sqrt(56) + sqrt(336)/(sqrt(36)/sqrt(6)) + sqrt(56) + sqrt(56))/(sqrt(24)/(sqrt(3) - sqrt(192)*-4)).
-5 + 825*sqrt(7)/4
Simplify -3*(3 + (sqrt(1125) - (sqrt(1125) + 1)*-6 - (-1*sqrt(1125)*1 - sqrt(1125))) + -4 + sqrt(1125) + sqrt(1125)*2*-2)**2.
-121575 - 2700*sqrt(5)
Simplify (-3*(sqrt(891) + 4))**2 - (2*sqrt(891)*1 - sqrt(891)) - ((sqrt(891) - (sqrt(891) - (sqrt(891) + 1))*-1)**2 - (sqrt(891) + sqrt(891)*-6 + 5)).
612*sqrt(11) + 7276
Simplify ((1*(sqrt(171) + sqrt(171)*3) + (sqrt(171)*3 + sqrt(171))*2)/(1*sqrt(1458)/sqrt(2)))**2.
304/9
Simplify ((-2*(4*(-2*sqrt(152) + sqrt(152)) - (2*sqrt(152)*2 + sqrt(152))))/((1*sqrt(432))/(sqrt(6) - sqrt(66)/(-1*sqrt(11)))))**2.
2736
Simplify ((sqrt(108) + (sqrt(108) - sqrt(108)*-5) + sqrt(108))/sqrt(9)*6 - (sqrt(432) + -4 + 0 + sqrt(432)))**2.
576*sqrt(3) + 15568
Simplify 2*((sqrt(2448) - (sqrt(2448)*2 - sqrt(2448)))*2 + ((sqrt(2448) + -2)*-3)**2 + -3*((sqrt(2448)*1 - sqrt(2448)) + -3)*5).
-864*sqrt(17) + 44226
Simplify (3*(sqrt(340)/((1*sqrt(70))/sqrt(7)))/(sqrt(242) + sqrt(242)*-2*-1)*1)**2.
17/121
Simplify (1*(sqrt(30)/sqrt(3) + sqrt(10) - sqrt(10)) + sqrt(10))/(-4*(sqrt(5) - sqrt(5)*-1)) - (2 + sqrt(32) + -4)**2*5.
-180 + 319*sqrt(2)/4
Simplify ((3*(((sqrt(72) + -1)*-6 - sqrt(72)) + sqrt(72)))**2 + -4 + (sqrt(72) + (-4*sqrt(72) - sqrt(72)))**2*2)*6.
-23328*sqrt(2) + 155712
Simplify 2 + 2*(4 + (((sqrt(98) + 0 - sqrt(98)) + 0 - (5*(sqrt(98) + 0 + sqrt(98)) + sqrt(98))) + -5)**2).
1540*sqrt(2) + 23776
Simplify -6*(-2 + ((sqrt(147) + -1)*-5 + sqrt(147) + -1 - (-5 + -1*sqrt(147) + -4)))**2.
-8664 + 2772*sqrt(3)
Simplify -4*(-2 + (5 + -4*(1*sqrt(80) + -4))*-3) + 2.
-192*sqrt(5) + 262
Simplify 1 + 1*sqrt(13) + 4 + -4*sqrt(13)*-4 + -3*(-1*(sqrt(78)/sqrt(3) - sqrt(26)))/(-2*sqrt(242) + sqrt(242)).
5 + 17*sqrt(13)
Simplify -3 + sqrt(28) + (2*sqrt(28))**2 + 0 + ((sqrt(1008) - (-3 + 0 + sqrt(1008))) + (-3*sqrt(1008)*-1 - sqrt(1008)))**2.
146*sqrt(7) + 4150
Simplify ((-5 + 0 + sqrt(242) + (sqrt(242) - (sqrt(242)*-1 + -4)))**2 - ((-6*(sqrt(242) + 0 + sqrt(242)))**2 + -1*(sqrt(242) + 0) + sqrt(242)))*3 + -2.
-98009 - 198*sqrt(2)
Simplify (((sqrt(77)*-3 - sqrt(77)) + sqrt(77))*-3 + 3*sqrt(77)*2)/(-1*(sqrt(11)*4 + sqrt(11)) - -6*(sqrt(1100) - sqrt(11))).
15*sqrt(7)/49
Simplify ((sqrt(832) + -2*(sqrt(832) + 1))*3 + 2)**2 - (((-1*sqrt(624))/sqrt(12))**2 + (2 + sqrt(13) + sqrt(52)/sqrt(4) - (sqrt(91)*-1 + sqrt(91))/sqrt(7))**2).
184*sqrt(13) + 7396
Simplify (((sqrt(189)*2*6)/(sqrt(900)*-1))/(3*sqrt(70)/(1*sqrt(490) + sqrt(490))))**2.
2352/25
Simplify ((sqrt(117) - sqrt(117)*-1*-4) + sqrt(117) + (sqrt(117)*-2 + sqrt(117))*5)/(-2*(sqrt(1296)*1 + sqrt(9))*-4).
-7*sqrt(13)/104
Simplify (0 + (sqrt(2541)*-5 - sqrt(2541))/sqrt(7) + 2 + sqrt(6)/sqrt(8) + sqrt(21)/(sqrt(35)/sqrt(5)))**2.
-258*sqrt(3) + 49939/4
Simplify ((1*sqrt(65)*-1 + sqrt(65))/(sqrt(180)*1))**2 - (5 + ((sqrt(104)/sqrt(4))/sqrt(2) - -3*sqrt(117))**2).
-1305
Simplify -1*(((sqrt(1100) + 5*sqrt(1100))**2 - sqrt(11)) + 4 + sqrt(1331) + 1 + sqrt(88)/((sqrt(8) - (sqrt(8) + (sqrt(8)*2 + sqrt(8) - sqrt(8))))*-1)).
-39605 - 21*sqrt(11)/2
Simplify 5 + sqrt(1053) + (sqrt(1053) - (sqrt(1053) + 0 + 0))**2 + 4 - (-2 + 6*(sqrt(1053) + 1)*-4).
35 + 225*sqrt(13)
Simplify (-4 + -1 + sqrt(539)*-1 + -5 - (2 + sqrt(539) + 0 + 0 + 4))**2.
448*sqrt(11) + 2412
Simplify -2 + (-1*sqrt(117)*6 + -4*2*sqrt(117) - (((1*(1 + sqrt(117)) - sqrt(117)) + sqrt(117) - sqrt(117))**2 + 2*(-1*sqrt(117))**2)).
-237 - 42*sqrt(13)
Simplify (-1*(sqrt(190) + (sqrt(190) + sqrt(190)*-1 - sqrt(190))) + sqrt(190))/(sqrt(40)/sqrt(16)) + (-2*(4 + (sqrt(1900) - 1*(sqrt(1900) + -1))))**2.
2*sqrt(19) + 100
Simplify -4 + (sqrt(112)*-2 + (-2*sqrt(49))/sqrt(7) - ((sqrt(7) - sqrt(700)) + sqrt(224)/sqrt(2))).
-5*sqrt(7) - 4
Simplify (-6*(1 + -4 + sqrt(700) + -4 + 4 + 0))**2.
-2160*sqrt(7) + 25524
Simplify 2*(sqrt(300)*1)**2 + sqrt(300) + 2 + -1 + (sqrt(576)*-1)/(sqrt(1200)*1).
48*sqrt(3)/5 + 601
Simplify -1*(-4 + ((4 + 0 + sqrt(112))*3 + 4*sqrt(112)*-1 + sqrt(112) + (sqrt(112) - ((sqrt(112) + 1)*-4 - sqrt(112))))**2)*4.
-17136 - 3072*sqrt(7)
Simplify (-1*(sqrt(204) - (sqrt(204) + (sqrt(204) - (sqrt(204) + 2*sqrt(204) - sqrt(204)) - sqrt(204) - sqrt(204))) - sqrt(204))*3)/(sqrt(84)/(sqrt(7)*4)*-3).
8*sqrt(17)
Simplify ((sqrt(3) + 0 + sqrt(3) + -1)**2*2 + sqrt(21)/((1*sqrt(84))/sqrt(12)) + 0)*-2.
-52 + 14*sqrt(3)
Simplify (4*(-2*sqrt(133) + sqrt(133)) + -2*sqrt(133)*-2)/((sqrt(280)/(sqrt(5)*2))/(sqrt(16)/(sqrt(2) - sqrt(18) - sqrt(2)) - sqrt(8))).
0
Simplify ((sqrt(513)/(sqrt(900)*-1 - sqrt(9))*4)/((sqrt(18) - (sqrt(18) + sqrt(882)*-1))/(sqrt(6) + sqrt(726)*-2 + sqrt(726))))**2.
30400/5929
Simplify ((2*sqrt(150)*-1)/(-2*sqrt(300)) + -4 + 6*(sqrt(50) - -3*sqrt(800)))**2.
-3124*sqrt(2) + 609993/2
Simplify 3 + ((-1*6*(-3 + sqrt(27)))**2 - (1 + sqrt(75) + -1)**2*-4).
-648*sqrt(3) + 1599
Simplify (-6*(1 + sqrt(272)*-1*4 - (-2*sqrt(272) + 2 + -4)))**2.
-1728*sqrt(17) + 39492
Simplify ((-2 + 5 + -1*(sqrt(2448) + -3) + sqrt(2448) + 2)*3)**2 + -4.
572
Simplify 1*(((sqrt(19) - (-3 + sqrt(19)*3))**2 + 3)*5*-6 + 4)*2.
-5272 + 720*sqrt(19)
Simplify ((sqrt(2304) + (sqrt(2304)*2 - sqrt(2304)) + sqrt(16) + sqrt(16))/(sqrt(48)/(sqrt(6)*-2)))**2 - sqrt(18)/(sqrt(9) + (sqrt(9) - -4*2*sqrt(9)))*4.
-2*sqrt(2)/5 + 5408
Simplify 6*2*(1 + (-1*sqrt(704) - sqrt(704))*-1)*-3*3.
-1728*sqrt(11) - 108
Simplify (4*((sqrt(133) + 2*sqrt(133))*-4 + sqrt(133)))/((1*sqrt(378) + sqrt(378))/sqrt(6)).
-22*sqrt(19)/3
Simplify (4 + (sqrt(480)/(sqrt(36)/(sqrt(9)/sqrt(3))))/(sqrt(32)/(-1*sqrt(4)*1))*3)**2.
-24*sqrt(5) + 61
Simplify (-5*(-2 + -1*sqrt(272)) + -1 + (sqrt(272) - (2 + sqrt(272))) + -2)**2 + -3.
200*sqrt(17) + 6822
Simplify (5 + (5 + (sqrt(495)*-2*-4)/((sqrt(99) - (sqrt(99) + 1*sqrt(99))) + sqrt(99) + sqrt(99) + sqrt(99)))**2*1)*-5.
-550 - 200*sqrt(5)
Simplify 6*(-2*-3*sqrt(2) - (sqrt(72) + (2 + sqrt(72))**2)) - 4*(-5*(sqrt(72)*2 + sqrt(72)))**2*5.
-324456 - 144*sqrt(2)
Simplify (6*4*(sqrt(320) + sqrt(320) + 2 + -3))**2 + (sqrt(10)/(sqrt(4)/sqrt(2)))**2 + -4 + (-4*sqrt(500)*2)**2.
-18432*sqrt(5) + 769857
Simplify (-5*sqrt(99)*2)/(sqrt(9) + sqrt(54)/(sqrt(12)/sqrt(2)) - sqrt(9)) + ((0 + sqrt(176))*4)**2*-2.
-5632 - 10*sqrt(11)
Simplify (((sqrt(176) + sqrt(176) + (sqrt(176) - (sqrt(176) - (sqrt(176) + sqrt(176) + 1)))*3)**2 + sqrt(176) + 1 - -2*(sqrt(176) + 1)*-6)*3 + -4)*4.
1776*sqrt(11) + 135128
Simplify ((sqrt(7)*4*6)**2 + 0 + sqrt(56)/(sqrt(48)/(sqrt(216) + sqrt(6))))*-1.
-403 | {
"pile_set_name": "DM Mathematics"
} |
he prime factors of 538.
2, 269
What are the prime factors of 42122?
2, 21061
What are the prime factors of 20209?
7, 2887
List the prime factors of 46942.
2, 7, 479
List the prime factors of 28313.
23, 1231
What are the prime factors of 1834?
2, 7, 131
List the prime factors of 2602.
2, 1301
List the prime factors of 34234.
2, 17117
List the prime factors of 998.
2, 499
List the prime factors of 2731.
2731
What are the prime factors of 667?
23, 29
What are the prime factors of 12027?
3, 19, 211
List the prime factors of 382.
2, 191
What are the prime factors of 472?
2, 59
What are the prime factors of 1119?
3, 373
What are the prime factors of 4646?
2, 23, 101
What are the prime factors of 50231?
50231
What are the prime factors of 840?
2, 3, 5, 7
What are the prime factors of 4267?
17, 251
List the prime factors of 305.
5, 61
What are the prime factors of 7531?
17, 443
What are the prime factors of 92799?
3, 7, 491
What are the prime factors of 1040?
2, 5, 13
What are the prime factors of 2887?
2887
What are the prime factors of 1187?
1187
List the prime factors of 57717.
3, 11, 53
What are the prime factors of 219?
3, 73
List the prime factors of 17897.
11, 1627
List the prime factors of 1080.
2, 3, 5
What are the prime factors of 7423?
13, 571
What are the prime factors of 45145?
5, 9029
What are the prime factors of 21525?
3, 5, 7, 41
List the prime factors of 62879.
227, 277
List the prime factors of 652.
2, 163
What are the prime factors of 62147?
29, 2143
List the prime factors of 3324.
2, 3, 277
What are the prime factors of 1632?
2, 3, 17
List the prime factors of 4266.
2, 3, 79
List the prime factors of 1848.
2, 3, 7, 11
List the prime factors of 4928.
2, 7, 11
What are the prime factors of 167090?
2, 5, 7, 11, 31
List the prime factors of 4623.
3, 23, 67
List the prime factors of 12.
2, 3
What are the prime factors of 1763?
41, 43
What are the prime factors of 3675?
3, 5, 7
What are the prime factors of 23459?
23459
List the prime factors of 9259.
47, 197
What are the prime factors of 71140?
2, 5, 3557
What are the prime factors of 11108?
2, 2777
What are the prime factors of 5613?
3, 1871
What are the prime factors of 3734?
2, 1867
What are the prime factors of 6886?
2, 11, 313
List the prime factors of 619.
619
What are the prime factors of 2065?
5, 7, 59
What are the prime factors of 2616?
2, 3, 109
What are the prime factors of 2746?
2, 1373
List the prime factors of 1950.
2, 3, 5, 13
What are the prime factors of 3186?
2, 3, 59
What are the prime factors of 114081?
3, 11, 3457
What are the prime factors of 57281?
7, 167
What are the prime factors of 680?
2, 5, 17
What are the prime factors of 2775?
3, 5, 37
What are the prime factors of 524?
2, 131
List the prime factors of 4829.
11, 439
What are the prime factors of 1229?
1229
List the prime factors of 1057.
7, 151
What are the prime factors of 7401?
3, 2467
List the prime factors of 1250.
2, 5
What are the prime factors of 1967?
7, 281
What are the prime factors of 4952?
2, 619
What are the prime factors of 5115?
3, 5, 11, 31
List the prime factors of 9680.
2, 5, 11
List the prime factors of 12699.
3, 17, 83
List the prime factors of 325.
5, 13
List the prime factors of 1503.
3, 167
What are the prime factors of 6882?
2, 3, 31, 37
What are the prime factors of 11854?
2, 5927
List the prime factors of 25828.
2, 11, 587
What are the prime factors of 66?
2, 3, 11
List the prime factors of 41663.
61, 683
What are the prime factors of 16?
2
What are the prime factors of 7823?
7823
List the prime factors of 31071.
3, 10357
List the prime factors of 94094.
2, 7, 11, 13, 47
List the prime factors of 1030.
2, 5, 103
What are the prime factors of 5947?
19, 313
What are the prime factors of 4863?
3, 1621
What are the prime factors of 25969?
25969
What are the prime factors of 27368?
2, 11, 311
What are the prime factors of 3155?
5, 631
What are the prime factors of 7949?
7949
List the prime factors of 32.
2
List the prime factors of 4777.
17, 281
List the prime factors of 18220.
2, 5, 911
List the prime factors of 29681.
67, 443
What are the prime factors of 60074?
2, 7, 613
What are the prime factors of 3615?
3, 5, 241
What are the prime factors of 4955?
5, 991
What are the prime factors of 364?
2, 7, 13
What are the prime factors of 694?
2, 347
List the prime factors of 2532.
2, 3, 211
What are the prime factors of 7360?
2, 5, 23
List the prime factors of 650.
2, 5, 13
What are the prime factors of 223?
223
What are the prime factors of 1194?
2, 3, 199
List the prime factors of 19484.
2, 4871
List the prime factors of 1236.
2, 3, 103
List the prime factors of 37566.
2, 3, 2087
What are the prime factors of 86441?
86441
List the prime factors of 1600.
2, 5
What are the prime factors of 3941?
7, 563
What are the prime factors of 18608?
2, 1163
What are the prime factors of 99?
3, 11
List the prime factors of 3483.
3, 43
What are the prime factors of 59082?
2, 3, 43, 229
List the prime factors of 47.
47
List the prime factors of 3608.
2, 11, 41
What are the prime factors of 86443?
7, 53, 233
What are the prime factors of 5963?
67, 89
What are the prime factors of 599?
599
List the prime factors of 96102.
2, 3, 19, 281
What are the prime factors of 14626?
2, 71, 103
What are the prime factors of 4485?
3, 5, 13, 23
What are the prime factors of 7507?
7507
What are the prime factors of 72?
2, 3
List the prime factors of 510.
2, 3, 5, 17
List the prime factors of 5680.
2, 5, 71
What are the prime factors of 6727?
7, 31
List the prime factors of 1972.
2, 17, 29
List the prime factors of 44627.
11, 4057
List the prime factors of 1242.
2, 3, 23
List the prime factors of 993.
3, 331
What are the prime factors of 22587?
3, 7529
What are the prime factors of 177732?
2, 3, 4937
What are the prime factors of 1304?
2, 163
What are the prime factors of 2505?
3, 5, 167
What are the prime factors of 6497?
73, 89
List the prime factors of 11542.
2, 29, 199
List the prime factors of 138.
2, 3, 23
List the prime factors of 262.
2, 131
List the prime factors of 4811.
17, 283
List the prime factors of 12883.
13, 991
List the prime factors of 6143.
6143
List the prime factors of 96968.
2, 17, 23, 31
List the prime factors of 1866.
2, 3, 311
List the prime factors of 4596.
2, 3, 383
List the prime factors of 9747.
3, 19
What are the prime factors of 859?
859
List the prime factors of 189930.
2, 3, 5, 13, 487
What are the prime factors of 11011?
7, 11, 13
List the prime factors of 44328.
2, 3, 1847
What are the prime factors of 399?
3, 7, 19
List the prime factors of 107078.
2, 37, 1447
What are the prime factors of 6257?
6257
List the prime factors of 246.
2, 3, 41
What are the prime factors of 1367?
1367
List the prime factors of 23282.
2, 7, 1663
List the prime factors of 1354.
2, 677
List the prime factors of 2893.
11, 263
List the prime factors of 1416.
2, 3, 59
What are the prime factors of 1198?
2, 599
List the prime factors of 23696.
2, 1481
What are the prime factors of 7706?
2, 3853
List the prime factors of 48.
2, 3
List the prime factors of 1652.
2, 7, 59
What are the prime factors of 19944?
2, 3, 277
List the prime factors of 1168.
2, 73
What are the prime factors of 875?
5, 7
What are the prime factors of 605?
5, 11
What are the prime factors of 1072?
2, 67
What are the prime factors of 3216?
2, 3, 67
What are the prime factors of 83315?
5, 19, 877
List the prime factors of 19226.
2, 9613
List the prime factors of 153193.
307, 499
What are the prime factors of 13402?
2, 6701
List the prime factors of 9556.
2, 2389
What are the prime factors of 1883?
7, 269
List the prime factors of 13785.
3, 5, 919
List the prime factors of 13083.
3, 7, 89
List the prime factors of 1032.
2, 3, 43
List the prime factors of 154969.
31, 4999
What are the prime factors of 44764?
2, 19, 31
What are the prime factors of 1455?
3, 5, 97
What are the prime factors of 265?
5, 53
What are the prime factors of 31204?
2, 29, 269
List the prime factors of 12228.
2, 3, 1019
What are the prime factors of 74?
2, 37
List the prime factors of 306.
2, 3, 17
What are the prime factors of 935?
5, 11, 17
List the prime factors of 60700.
2, 5, 607
List the prime factors of 4498.
2, 13, 173
List the prime factors of 25389.
3, 7, 13, | {
"pile_set_name": "DM Mathematics"
} |
cement from smzhssshlhsshh.
5/24024
Calculate prob of sequence qa when two letters picked without replacement from {a: 1, t: 9, q: 1}.
1/110
Four letters picked without replacement from {z: 1, e: 4, d: 3}. Give prob of sequence dzdd.
1/280
Three letters picked without replacement from dddqdddddddddqq. What is prob of sequence ddq?
66/455
What is prob of sequence llo when three letters picked without replacement from lldldllood?
1/18
Two letters picked without replacement from lww. Give prob of sequence ww.
1/3
Three letters picked without replacement from {w: 1, n: 2, x: 1}. Give prob of sequence nnx.
1/12
Two letters picked without replacement from ajjjpjjjjjap. Give prob of sequence ja.
4/33
Three letters picked without replacement from lddcclllcccccc. What is prob of sequence clc?
4/39
Three letters picked without replacement from cicrcdd. What is prob of sequence cid?
1/35
Calculate prob of sequence ukks when four letters picked without replacement from uusksususksksuu.
3/455
Calculate prob of sequence gvo when three letters picked without replacement from lmovg.
1/60
Two letters picked without replacement from trororrmrrorootmtrt. Give prob of sequence tt.
2/57
Calculate prob of sequence nsts when four letters picked without replacement from sssstnntntnsss.
3/143
Three letters picked without replacement from gvkbzvekezeg. Give prob of sequence bkg.
1/330
Three letters picked without replacement from yyyyhhyyyy. Give prob of sequence yyy.
7/15
Two letters picked without replacement from {e: 4, l: 2, y: 2}. What is prob of sequence el?
1/7
Calculate prob of sequence brno when four letters picked without replacement from {q: 3, b: 3, o: 3, r: 1, n: 2, t: 3}.
1/1820
Four letters picked without replacement from vvjzvvziwzwjvvzvvvj. What is prob of sequence vziv?
1/323
Calculate prob of sequence re when two letters picked without replacement from {g: 1, r: 1, e: 1, j: 2}.
1/20
Two letters picked without replacement from {n: 10}. What is prob of sequence nn?
1
Four letters picked without replacement from {p: 6, j: 6}. Give prob of sequence jjpp.
5/66
Calculate prob of sequence zzyz when four letters picked without replacement from yzzzzyyzzyzzzygzy.
9/119
Three letters picked without replacement from lygxlvlxxtxvvxg. What is prob of sequence gtx?
1/273
Calculate prob of sequence zo when two letters picked without replacement from {c: 2, t: 10, z: 1, l: 6, o: 1}.
1/380
Three letters picked without replacement from {t: 4, n: 2, k: 10, r: 4}. Give prob of sequence nnk.
1/342
What is prob of sequence dd when two letters picked without replacement from rdrddddddrdddddrrd?
26/51
What is prob of sequence ne when two letters picked without replacement from oboeqvne?
1/28
Two letters picked without replacement from {c: 2, v: 2, y: 1, s: 1}. Give prob of sequence sv.
1/15
Two letters picked without replacement from iivybivibvbyvvvyyiv. What is prob of sequence ib?
5/114
Calculate prob of sequence wiww when four letters picked without replacement from {i: 1, w: 14, g: 1}.
1/20
Four letters picked without replacement from {o: 5, z: 2, d: 2, j: 1, m: 6}. Give prob of sequence ommd.
5/728
What is prob of sequence mybt when four letters picked without replacement from {y: 4, m: 1, t: 1, d: 2, b: 2, q: 7}?
1/7140
Two letters picked without replacement from epeeeeeeeeeee. What is prob of sequence ee?
11/13
What is prob of sequence vwwv when four letters picked without replacement from {v: 9, w: 7}?
9/130
Two letters picked without replacement from {q: 2, k: 2, e: 4}. Give prob of sequence qk.
1/14
Two letters picked without replacement from avlllalalavl. Give prob of sequence aa.
1/11
Two letters picked without replacement from {v: 1, c: 1, h: 1, z: 1, a: 1}. What is prob of sequence hc?
1/20
Four letters picked without replacement from sdydefjs. What is prob of sequence esfd?
1/420
What is prob of sequence tt when two letters picked without replacement from tttztttt?
3/4
Four letters picked without replacement from {i: 5, w: 2, y: 6}. What is prob of sequence ywiy?
5/286
What is prob of sequence css when three letters picked without replacement from nsxfxxccscfnc?
2/429
Calculate prob of sequence aa when two letters picked without replacement from {a: 11, h: 1, c: 1}.
55/78
What is prob of sequence ww when two letters picked without replacement from {x: 2, w: 3, s: 7, e: 5}?
3/136
What is prob of sequence um when two letters picked without replacement from shgurmh?
1/42
Calculate prob of sequence co when two letters picked without replacement from {b: 5, c: 5, o: 1, k: 1}.
5/132
What is prob of sequence uc when two letters picked without replacement from cxpxcpcpttxpccuctff?
1/57
Three letters picked without replacement from {w: 6, n: 11, y: 1}. What is prob of sequence nww?
55/816
Two letters picked without replacement from bdzdoooooovvooqvoq. Give prob of sequence db.
1/153
What is prob of sequence haa when three letters picked without replacement from {h: 2, f: 8, a: 2, n: 1}?
1/429
What is prob of sequence vxp when three letters picked without replacement from {x: 5, p: 1, l: 4, m: 1, v: 3}?
5/728
Three letters picked without replacement from {b: 15, o: 5}. Give prob of sequence bob.
35/228
Calculate prob of sequence ls when two letters picked without replacement from {s: 2, x: 2, e: 1, l: 2, y: 1}.
1/14
Three letters picked without replacement from xgbxmmaiabmax. What is prob of sequence amb?
3/286
What is prob of sequence qql when three letters picked without replacement from {y: 1, l: 10, q: 6}?
5/68
Four letters picked without replacement from ttxttxt. What is prob of sequence txxt?
1/21
Calculate prob of sequence axh when three letters picked without replacement from xwwhxqawwhwyawa.
2/455
Two letters picked without replacement from fbxcx. What is prob of sequence cf?
1/20
Two letters picked without replacement from noldodoonq. What is prob of sequence dl?
1/45
Two letters picked without replacement from {m: 2, i: 4, d: 1, t: 1}. What is prob of sequence id?
1/14
Four letters picked without replacement from {s: 3, f: 3, e: 1, n: 11, q: 1}. What is prob of sequence snqn?
55/15504
What is prob of sequence zzzj when four letters picked without replacement from {z: 7, f: 4, j: 2}?
7/286
Four letters picked without replacement from ldquq. What is prob of sequence duqq?
1/60
Two letters picked without replacement from nknnnnnnnnokol. What is prob of sequence nl?
9/182
Calculate prob of sequence xsj when three letters picked without replacement from {m: 3, x: 1, n: 3, c: 1, s: 1, j: 2}.
1/495
Two letters picked without replacement from slsssssssgslsllsl. Give prob of sequence ls.
55/272
What is prob of sequence mv when two letters picked without replacement from {m: 8, v: 2}?
8/45
Two letters picked without replacement from {g: 1, l: 1, w: 1}. What is prob of sequence wl?
1/6
Two letters picked without replacement from {t: 12, y: 1}. Give prob of sequence yt.
1/13
What is prob of sequence shsh when four letters picked without replacement from yyyshyhyyysyyyysyy?
1/6120
Calculate prob of sequence rsr when three letters picked without replacement from {s: 2, r: 2}.
1/6
Calculate prob of sequence ii when two letters picked without replacement from iiiiiilidiliidiiiiil.
21/38
What is prob of sequence dd when two letters picked without replacement from ddii?
1/6
Calculate prob of sequence re when two letters picked without replacement from yeuxerr.
2/21
What is prob of sequence zzhz when four letters picked without replacement from {z: 5, h: 3}?
3/28
What is prob of sequence txmx when four letters picked without replacement from {t: 1, p: 4, m: 2, x: 3}?
1/420
Three letters picked without replacement from nnnnww. Give prob of sequence nnn.
1/5
Three letters picked without replacement from kckcckkkckghcckcgc. What is prob of sequence cck?
49/612
Three letters picked without replacement from xxfxxfxxxxx. What is prob of sequence xxx?
28/55
Two letters picked without replacement from {p: 3, j: 12, l: 3}. Give prob of sequence jl.
2/17
Calculate prob of sequence ooo when three letters picked without replacement from {i: 3, z: 5, o: 4}.
1/55
Two letters picked without replacement from niivtevvbevtvebbvv. What is prob of sequence nv?
7/306
Three letters picked with | {
"pile_set_name": "DM Mathematics"
} |
tor of 225 and o.
9
Let w be ((-26)/(-4))/(1/2). Suppose -5*c = -0*z + 4*z - 73, -16 = -3*z + 4*c. Let u be ((-39)/z)/((18/56)/(-9)). What is the highest common divisor of u and w?
13
Let m(x) = -x**2 + 216. Let y(v) = v + 8. Let n be y(-6). Let a be 5/10*(n + -2). Let w be m(a). What is the greatest common factor of w and 24?
24
Suppose 9*v = 8*v. Let q(r) = -8 + 5*r + 2 - r**2 + 4*r + v. Let z be q(6). What is the greatest common factor of z and 12?
12
Suppose 5*s - 1445 = -p, s = 48*p - 45*p + 273. Calculate the greatest common divisor of 90 and s.
18
Suppose j - 22 - 26 = 0. Suppose 17*d - 335 = 277. Calculate the highest common factor of d and j.
12
Let j(l) be the first derivative of -15*l - 3 + 1/2*l**2 + 1/3*l**3. Let m be j(-7). Calculate the highest common factor of 3 and m.
3
Let b(d) = -4*d - 3. Let v be b(-3). Suppose -1 = 4*y - 13. Suppose -3*l - 4*f - 35 = -139, -105 = -3*l - y*f. Calculate the highest common divisor of v and l.
9
Suppose -1620 = -60*l + 40*l. Calculate the highest common factor of l and 108.
27
Suppose -15 = -5*c - 2*g, -5*g + 2*g = -5*c - 10. Let x be (2*(-3)/18)/(24/(-72)). Calculate the greatest common factor of x and c.
1
Suppose -2*l = -3*l + 3. Let z be (2 - 7) + l - -146. Suppose 5*p + 24 - z = 0. What is the highest common factor of 12 and p?
12
Let r = 183 - -441. What is the greatest common divisor of r and 72?
24
Let v be -22*(-2)/4 + -2. Suppose -4*q + v*q - 1910 = 0. Suppose -3*s = -4*z + 757, 2*z + 3*s - s - q = 0. Calculate the greatest common divisor of z and 19.
19
Let v(i) = -3*i**3 - i**2 - 2*i + 2. Let u be v(1). Let t be u + (10/15)/(2/156). Calculate the highest common divisor of t and 120.
24
Suppose 0*c - 4*c = -2*r + 4, 0 = -c - 1. Suppose 0 = -4*w - 3*z - 2*z + 267, -3*w + 4*z + 208 = r. What is the greatest common factor of w and 17?
17
Suppose -7 = -4*o + 17. Calculate the highest common factor of 24 and o.
6
Suppose -2*h - 27 = 5*n, -5*n + 9 = -2*h + 32. Let u be 0/(2 - (-1)/h). Suppose j - 7 - 6 = u. What is the greatest common factor of j and 26?
13
Let k(c) = 3*c**3 - 19*c**2 + 14*c - 43. Let f be k(6). What is the highest common divisor of f and 125?
5
Suppose 91 = 5*y + 2*y. Suppose 4*c - 97 = -y. What is the greatest common factor of c and 7?
7
Let h be 4/10 + 608/(-20). Let l = h - -54. Suppose 3*q + j = -6 + 22, -q + 4*j = -14. Calculate the highest common factor of q and l.
6
Let v be ((-248)/(-62))/(5 + -1) - -2345. Calculate the highest common divisor of 102 and v.
102
Let o(u) = u + 23. Let s be o(-12). Let w(v) = v**2 - 2*v - 7. Let m be w(s). What is the greatest common divisor of 23 and m?
23
Let m be ((-42)/(-2) - 2) + 1. Let p = -1859 + 1874. Calculate the greatest common divisor of m and p.
5
Let a be 1848/140 - 2/10. Let c be -1 - 1 - 251*1. Let o = -162 - c. What is the highest common divisor of o and a?
13
Let o be ((-3)/6)/((-1)/6). Suppose 2*t + 3*v = -2*t + 43, 0 = 5*t + o*v - 53. Let h be (4/5)/((-1)/(-50)). What is the greatest common factor of h and t?
10
Let m = -54 - -60. Let o be (-8)/m*(0 - (5 - -1)). What is the greatest common factor of o and 56?
8
Suppose -29 + 1 = 5*n - 4*p, 0 = n - p + 6. Let y be n/(2/10*-2). Let h = 129 - 79. Calculate the greatest common factor of h and y.
10
Let a be 0/((1 - -2)/3). Suppose -2*x = -a*x + 4. Let i be ((-16)/x)/((-5)/(-10)). Calculate the highest common factor of i and 144.
16
Suppose -6*y + 66 = -1734. What is the greatest common factor of 90 and y?
30
Let t = 283 - 227. Calculate the highest common factor of 952 and t.
56
Let z be (-722)/(-15) - 10/75. Calculate the greatest common factor of 360 and z.
24
Let s(n) = n**3 - 5*n**2 + 3*n - 14. Let p be s(7). Suppose -c - p = -8*c. What is the highest common divisor of 15 and c?
15
Let t(f) = 45*f**2 - 24*f + 23. Let b be t(1). What is the highest common factor of 28 and b?
4
Let x be 10/(-45) - (-640)/45. Let j(d) = -d**2 + 5*d - 4. Let w be j(3). Suppose w*c + 2*c = 28. What is the highest common factor of c and x?
7
Let q = 88 - 85. Suppose i = -q*i + 2*m + 88, 2*i + 2*m = 38. Calculate the greatest common divisor of 14 and i.
7
Suppose -30*t - 2*z = -28*t - 244, 4*t = -2*z + 484. Let s = 19 - 7. What is the highest common factor of s and t?
12
Let n be (-482)/(-4) + (-1)/(-6)*9. Let c = n - 34. What is the highest common factor of c and 8?
8
Suppose 14 = -n + 3*l, 2*l = -l. Let q be n/(-77) + (-42)/(-11). Suppose q*r = -r + 315. What is the greatest common divisor of r and 21?
21
Let k be (7 - 3) + 0/(-1). Let t = 22 - k. Suppose 8*n - 3*n = 4*q + t, 2*q = -5*n + 36. Calculate the greatest common factor of 48 and n.
6
Let o(c) = 2*c**2 - 75*c - 53. Let d be o(41). Suppose 6*u = 2*u + 52. Calculate the highest common factor of d and u.
13
Suppose 2*w = 17*w - 13230. What is the greatest common factor of w and 18?
18
Let j be (-6)/4 + (-5117)/(-86). Calculate the greatest common factor of j and 58.
58
Let x be 1/4 - 10349/(-316). What is the greatest common factor of 528 and x?
33
Let o(f) = 8*f**3 - 3*f**2 + 1. Suppose -3*y - 18 = -3*q, -3*q - 3*y = 1 + 5. Let n be o(q). Calculate the highest common factor of 424 and n.
53
Let m be (-11)/22*(-4 + 0). Suppose -5*s = -3*p - 2*p + 25, m*p = s + 6. What is the greatest common factor of 3 and p?
1
Let m be ((-176)/(-6))/((-8)/(-12)). What is the highest common divisor of m and 66?
22
Let m(v) = 2*v**2 + 7. Let n be m(-6). Let s = -43 + n. Suppose 0 = -2*l + 4, 15 + 27 = 3*x + 3*l. Calculate the greatest common divisor of x and s.
12
Let p = 957 + -942. What is the greatest common factor of 1455 and p?
15
Suppose 0*r = -4*p - r + 28, -4*p + 4*r + 48 = 0. Let j = 11 + -3. Calculate the highest common factor of p and j.
8
Let r be (-202)/(((-5)/10)/(2/(-8))). Let y = -80 - r. Calculate the highest common factor of y and 210.
21
Suppose -3*t = -q + 27, -3*t = -2*q - q + 27. Let o = -3 - t. Let l be 248/18 + o/27. What is the greatest common divisor of l and 35?
7
Let v(g) = 2*g + 16 - 3*g + 2*g. Let c(l) = -l**2 + 18*l - 79. Let r be c(13). Let t be v(r). Calculate the highest common factor of 10 and t.
2
Let s(k) = -k**3 + 4*k**2 + 20*k - 23. Let d be s(5). Let q be 5 + -2*(-3)/(-6). What is the highest common divisor of q and d?
4
Suppose 2*y = -89 - 177. Let f be (y/21)/((-1)/3). Let c be (-6 + 10)/(1/f). Calculate the greatest common divisor of c and 19.
19
Suppose -v + 80 = 4*v. Let r be (v/6)/((-8)/(-132)). Suppose -4*p - 2*y = -r, -2*p + p + 17 = -y. What is the highest common factor of p and 65?
13
Suppose 3*b - 4*p = 43, -b = -2*b + 3*p + 6. Calculate the highest common divisor of b and 70.
7
Let s(f) = -f**2 - 2*f + 4. Let o be s(0). Suppose -5*i + 24 = o*n - 74, -4*n = -3*i + 78. Calculate the greatest common factor of 55 and i.
11
Suppose 10*k - 235 = -115. Let n be (-2 - 2)*15/(-4). Let h = n - 9. What is the greatest common factor of h and k?
6
Let r = 620 + -596. Calculate the greatest common factor of 744 and r.
24
Let l be (-22)/(-8) - 6/(-24) - 3. Suppose l = -5*w + m + 143, -131 = -5*w + 2*m - 5*m. Calculate the greatest common divisor of 140 and w.
28
Suppose -3*j = -6*j + 72. Let x = 48 - j. Let u = 211 - 115. Calculate the highest common factor of x and u.
24
Let y = -68 + 28. Let n = -34 - y. What is the greatest common divisor of n and 54?
6
Let n be -6 + 0 - (-266)/7. Calculate the greatest common factor of 8 and n.
8
Suppose 25*s - 504 = 16*s. Calculate the greatest common divisor of s and 133.
7
Suppose 0 = 181*o - 186*o + 40. Suppose 4*j - 2*j - 24 = 0. What is the highest common divisor of o and j?
4
Suppose 4*y - 31 - 9 = 0. Let r = -59 - -69. Calculate the highest common divisor of r and y.
10
Suppose -21*p + 19*p = -8. Suppose -2*r - 3*q - p + 19 = 0, -4*r + 51 = -q. What is the highest common factor of 12 and r?
12
Suppose -2*r + 228 = -6*r - 4*w, 5*w - 20 = 0. Let v = -33 - r. What is the highest common divisor of v and 196?
28
Suppose -2*o - 32 = -2*x, -3*x + 6*o = 4*o - 46. Calculate the greatest common divisor of x and 112.
14
Let m(a) = -a**3 + 3*a**2 + 8*a + 3. Let z be m(6). Let d = -85 + 51. Let v = d - z. What is the highest common factor of 184 and v?
23
Let m = 139 + -91. Let a be (-4)/22 + 63390/165. What is the greatest common divisor of m and a?
48
Suppose -2*x + 600 | {
"pile_set_name": "DM Mathematics"
} |
-53a67 (base 11) to base 3
-10222122201
What is 3713155 (base 8) in base 9?
1826264
What is -21a2939 (base 11) in base 7?
-44522151
What is -2830933 (base 11) in base 16?
-4a6922
What is -7b86 (base 15) in base 14?
-97b4
What is -3151301 (base 6) in base 12?
-75531
414054 (base 7) to base 16
11580
Convert -361224 (base 8) to base 2.
-11110001010010100
Convert 34f (base 16) to base 12.
5a7
-1111121221222 (base 3) to base 12
-326945
Convert -101410045 (base 6) to base 14.
-33acd7
What is 1755055 (base 10) in base 2?
110101100011110101111
What is 11111010101110010111101 (base 2) in base 16?
7d5cbd
What is -1ac906 (base 13) in base 3?
-1021210100202
Convert -15bb9 (base 14) to base 9.
-82625
What is 102120201102112 (base 3) in base 5?
3033432013
Convert -1c6216 (base 13) to base 12.
-2b1064
-1000011100111001110000 (base 2) to base 5
-1031344121
What is 1010101111101001001 (base 2) in base 14?
92441
What is -3d787c (base 14) in base 12?
-86a99a
Convert -2915 (base 11) to base 16.
-eb7
What is c015 (base 13) in base 8?
63416
Convert 2606882 (base 9) to base 12.
5870a8
Convert -2111011100210 (base 3) to base 15.
-1b1a46
-38997 (base 15) to base 12
-8892a
What is -1322321210 (base 4) in base 14?
-d164c
Convert 4ba8a1 (base 15) to base 5.
1412130301
Convert 11a999 (base 11) to base 12.
9209b
What is -11724512 (base 8) in base 5?
-1131133432
-255727 (base 13) to base 6
-31123304
Convert -10111111101111010110 (base 2) to base 6.
-24455542
Convert -c3d083 (base 15) to base 14.
-134439b
What is -10101000101100101 (base 2) in base 8?
-250545
What is -43401254 (base 6) in base 11?
-802062
97ac0 (base 14) to base 2
1011001100111101000
Convert 212120002001 (base 3) to base 13.
1330a2
What is -4032551 (base 7) in base 10?
-478766
-514979 (base 15) to base 2
-1110101111001001100011
22661 (base 10) to base 3
1011002022
What is 1473491 (base 10) in base 8?
5475723
15722205 (base 9) to base 13
18264a1
What is -110111010001101010101 (base 2) in base 6?
-102453325
What is 10000001100100101 (base 2) in base 10?
66341
Convert -651121 (base 7) to base 16.
-1ba66
Convert 559c9 (base 15) to base 10.
272214
Convert 1c790 (base 14) to base 2.
10001110010001010
Convert 156807 (base 9) to base 2.
10111101001110011
1073238 (base 9) to base 3
1002110021022
What is -1210201020110 (base 3) in base 14?
-1ad5c5
Convert 12a825 (base 13) to base 9.
757634
What is -2da01 (base 16) in base 11?
-118452
1a0387 (base 14) to base 15
1335cb
Convert -130594 (base 13) to base 4.
-1233303112
What is -a94a3 (base 11) in base 6?
-3224014
Convert 103136 (base 7) to base 10.
17912
What is 20002672 (base 9) in base 12?
325500b
What is -112300020 (base 4) in base 14?
-25d68
Convert -775a27 (base 13) to base 12.
-b37172
-101001000010100011 (base 2) to base 12
-81343
156a62 (base 11) to base 15
4c24a
What is 108995 (base 11) in base 9?
283142
-3545035 (base 6) to base 15
-39cc5
-43716000 (base 8) to base 10
-9411584
What is -656752 (base 8) in base 6?
-4421310
1230352 (base 7) to base 9
261557
Convert 1213554 (base 6) to base 3.
10021021221
1169ba4 (base 13) to base 9
11126340
Convert 240403041 (base 5) to base 12.
454506
Convert -105015 (base 7) to base 9.
-27373
-100110000011010101101 (base 2) to base 13
-34870b
What is -1303254 (base 8) in base 10?
-362156
3130321102 (base 4) to base 11
568863
What is -b1aa (base 12) in base 9?
-28404
What is 55515352 (base 6) in base 8?
6306164
What is 3001231311 (base 5) in base 12?
1b78857
-11215360 (base 7) to base 4
-3233002213
What is 10d315 (base 15) in base 8?
3042151
Convert 22001030 (base 4) to base 6.
513552
Convert -15504b (base 16) to base 2.
-101010101000001001011
Convert -3134324 (base 6) to base 8.
-452054
Convert -11101010101100001 (base 2) to base 5.
-12321121
-30431 (base 8) to base 3
-122020112
1158021 (base 10) to base 4
10122232011
Convert 12223405 (base 9) to base 7.
101553125
-2826777 (base 10) to base 8
-12621031
What is 323033033 (base 5) in base 3?
2120222020221
What is 1107221 (base 8) in base 12?
1249a9
-101011100000001000 (base 2) to base 10
-178184
What is -122023001 (base 7) in base 10?
-7653017
-9697d7 (base 14) to base 8
-23343321
Convert -220212001121 (base 3) to base 9.
-825047
Convert -1142550 (base 6) to base 5.
-3412013
What is -425960 (base 10) in base 11?
-271037
Convert 101001100111100010001 (base 2) to base 14.
276db3
What is 30123331 (base 4) in base 13?
1a257
-60ca2 (base 13) to base 7
-1321623
What is 474877 (base 16) in base 7?
54464563
Convert -37212 (base 15) to base 12.
-859bb
Convert -303e86 (base 15) to base 2.
-1000101111011101000110
-4114441 (base 6) to base 13
-6b710
Convert 4464177 (base 9) to base 6.
123311241
Convert 13030312000 (base 4) to base 14.
371c9a
Convert -18739 (base 14) to base 13.
-22182
3729 (base 11) to base 9
6612
What is 5251102 (base 6) in base 10?
255566
-1a0922 (base 12) to base 11
-292812
Convert 4105352 (base 8) to base 12.
44348a
141925b (base 12) to base 5
2012033314
-123254 (base 10) to base 8
-360566
What is -8822380 (base 9) in base 16?
-484eff
Convert 1100010011010110100 (base 2) to base 3.
202110222112
What is -3aacb (base 14) in base 3?
-21100122222
Convert -233010102101 (base 4) to base 13.
-272cca8
What is -6002276 (base 8) in base 7?
-16244102
Convert 125235124 (base 6) to base 9.
4620187
Convert -4446152 (base 9) to base 10.
-2392706
What is -21101102200202 (base 3) in base 10?
-3925442
What is -111131022111 (base 4) in base 14?
-a65a3b
Convert 145de (base 15) to base 14.
19bd9
124352204 (base 6) to base 4
21113231230
Convert -3b3201 (base 14) to base 5.
-1010412143
What is -11110100110100100000100 (base 2) in base 12?
-282a630
What is 4c906 (base 15) in base 13?
876b7
Convert -c31235 (base 14) to base 13.
-1491660
What is -3341012 (base 6) in base 14?
-456a4
What is -1116103 (base 12) in base 10?
-3266067
Convert -100100001010001001100101 (base 2) to base 16.
-90a265
12f9e (base 16) to base 6
1355502
What is 4cba9 (base 16) in base 8?
1145651
3123453 (base 6) to base 3
21200100120
What is -2260022 (base 8) in base 12?
-257696
-1000000000001001101001110 (base 2) to base 6
-1355411102
Convert -103412002 (base 5) to base 12.
-198b11
332231 (base 8) to base 6
2221241
What is 5446362 (base 7) in base 8?
2427276
Convert 313aaa (base 12) to base 9.
1408634
Convert -505232 (base 6) to base 12.
-1b218
Convert -11228180 (base 9) to base 6.
-312502543
Convert 6224052 (base 7) to base 11.
46a2a7
What is 4351412 (base 8) in base 4?
10131030022
Convert -505022 (base 7) to base 8.
-247406
What is -1100111010001010001 (base 2) in base 6?
-13022145
What is -13000123 (base 6) in base 14?
-ad08b
Convert -1111000101100011001001 (base 2) to base 14.
-74d401
-1101101011111010 (base 2) to base 12
-28536
What is 9496 (base 16) in base 9?
57154
What is 1817861 (base 9) in base 15?
15116a
Convert 94ad6 (base 16) to base 8.
2245326
Convert -1076036 (base 13) to base 6.
-300005055
-9ce88 (base 16) to base 9
-1178546
2121111102220 (base 3) to base 10
1387608
What is 1997b (base 16) in base 3?
12022210111
What is 13197802 (base 10) in base 13?
2971267
Convert -303051 (base 8) to base 15.
-1e8db
What is 265402 (base 7) in base 11?
34574
Convert -3315210 (base 9) to base 2.
-110110011000001010111
Convert -116aba (base 12) to base 14.
-74846
What is -1111000100110101101 (base 2) in base 12?
-1b9a65
Convert -16398 (base 14) to base 5.
-3234402
Convert -1c1327 (base 13) to base 2.
-10101110111111011010
What is 511342 (base 8) in base 12?
81742
What is 363634 (base 8) in base 9?
210207
What is 24303441 (base 7) in base 2?
1000010001101000001101
What is 6525422 (base 8) in base 4?
12222230102
-1323111023 (base 4) to base 10
-505163
-22026 (base 13) to base 11
-42273
220012022100 (base 3) to base 8
1642146
-6484910 (base 10) to base 4
-120233032232
Convert -519527 (base 12) to base 3.
-2102002110211
What is 22463710 (base 8) in base 2?
10010100110011111001000
What is 1001110010010010011000 (base 2) in base 3?
11211022220002
94380 (base 10) to base 8
270254
152a5 (base 12) to base 14
abdb
What is -117a65 (base 11) in base 5?
-21430130
Convert -43401656 (base 7) to base 15.
-4d5b35
-1f543 (base 16) to base 9
-215021
Convert -6324843 (base 9) to base 8.
-14716366
-53216 (base 12) to base 10
-109170
What is -11 | {
"pile_set_name": "DM Mathematics"
} |
- k + 5*k) - k + 0*k + 2*k)*(3 - 1 - 1) + k - 4*k + k).
-143*k**4
Expand -382 + 38*q - 740*q + 193 + 194 + (-2*q + 1 - 1)*(2 - 2 + 1) + 1 - q - 1.
-705*q + 5
Expand (-2 - 2 + 2)*((13*x + 5 - 5)*(-x + x + 2*x) + x**2 + 11*x**2 - 28*x**2).
-20*x**2
Expand (-16917 + 372*k**5 + 16917)*(-7 - 2 + 15)*(2 - 2 + 1).
2232*k**5
Expand (19 - 2 - 595*b + 596*b)*(288 + 67*b - 35*b - 31*b).
b**2 + 305*b + 4896
Expand (-7 + 11*m - 7*m - 2*m)*(69*m + 32*m - 20*m)*(2 - 6 + 2).
-324*m**2 + 1134*m
Expand (917 - 782 - 713)*(-3 + h + 3).
-578*h
Expand (13*x - 7*x + 7*x)*(-223*x + 113*x + 94 + 108*x) - 3*x**2 + x**2 + x**2.
-27*x**2 + 1222*x
Expand -18*h**4 - 54*h + 54*h - h**4 + h**4 + 3*h**4 + (0*h**3 - h**3 - h**3)*(-h - 5*h + 5*h) - 2*h**4 + 5*h**4 - 4*h**4 + 15 - 3*h**4 - 15.
-17*h**4
Expand (-2 - 6*a**2 - a**2 + a**2)*(589 - 589 - 224*a).
1344*a**3 + 448*a
Expand (-49*j**2 - 20*j**2 - 71*j**2)*(5671*j + 49*j**2 - 5671*j).
-6860*j**4
Expand (-36 + 12 + 3*x + 15)*(181*x**2 - 466*x**2 + 178*x**2) + 3*x**3 - 6*x**3 + x**3.
-323*x**3 + 963*x**2
Expand (-1315 + 34*w + 1315)*(-w**2 + 2*w**4 + w**2) + 5*w - 1814*w**2 + 2*w**3 - w**5 + 1814*w**2 - 1.
67*w**5 + 2*w**3 + 5*w - 1
Expand 37447*t**2 - 4869*t**2 + 48524*t**2 - 305*t**2 + 13032*t**2 + 4275*t**2 + (-3*t - 2*t + 6*t)*(2*t - 4*t + 3*t).
98105*t**2
Expand (5 + 0 - 3)*(0*h + 0*h + 2*h**2) + 9*h**2 - 2*h**2 + 7*h**2 + (h - 3*h + 3*h)*(2*h - 3*h - h) - 5*h**2 + 30*h**2 + 11*h**2.
52*h**2
Expand (1 - 1 + 2*h)*(-2*h + 2*h - h)*(6*h**2 - 11*h**2 - 23*h**2) - 21*h**3 + 31*h**4 + 21*h**3.
87*h**4
Expand 2*d - 2*d - d**3 + (2*d**3 + 3*d - 3*d)*(-166 + 142 + 185) - 2*d**3 - 6*d + 6*d.
319*d**3
Expand (-4*n + 0*n + 6*n + (3 - 1 - 3)*(-4*n + 5*n + n) - 2*n + 1 - 1)*(2 - 8 - 12 + (-2 + 5 - 4)*(-2 + 3 - 2))*(88 - 52 - 44).
-272*n
Expand 75*b**5 + 8973 - 8973 + (-4 + b + 4)*(2*b**4 - 5 + 5) - 9*b**3 + 9*b**3 - b**5.
76*b**5
Expand ((-b + 3*b - b)*(b + 18*b + 3*b) + b**2 - 3*b**2 - 6*b**2)*(-6*b - 7*b - 7*b).
-280*b**3
Expand (12*a + 6*a - 4*a)*(0*a + 11 + 4*a - 6*a) - 2*a + a**2 + 2*a.
-27*a**2 + 154*a
Expand (4 - 4 + 2)*(-11 - 27 - 96)*(3 - 3 - p**2) - 6 - 2*p**2 + 6.
266*p**2
Expand -2*l**3 + l**3 - 3*l**3 + (-3*l + 3*l - 2*l)*(5*l**2 - 4*l**2 + l**2) + (-37*l + 30*l - 45*l)*(-2*l**2 - 2*l**2 + 3*l**2).
44*l**3
Expand q**2 - 3 + 3 - 4*q**2 + q**2 + 2*q**2 + (0*q + 2*q - 3*q)*(-2 - 2*q + 2) + 0 + 0 + 3*q**2 + 31*q**2 - 228 + 228 + (-4*q + 5*q + 5*q)*(4*q - 1 + 1).
60*q**2
Expand (3*a - 2*a**3 - 3*a)*(-1 - a**2 + 1) - 7227961*a**3 + 7227972*a**3 + 65*a**5 + 57*a**4 - 26*a**5.
41*a**5 + 57*a**4 + 11*a**3
Expand (-18*d - 11 + 11)*(82*d + 2*d**2 - 232*d + 87*d) + (-2*d + d + 0*d)*(-6*d**2 + 4*d**2 + 3*d**2).
-37*d**3 + 1134*d**2
Expand (0 - 2 + 0)*((-9 + 5 - 3)*(-4 + 2 + 1) + 7 + 0 + 1)*(0*f - 2*f + 0*f) + (-3*f + 2 - 2)*(-1 + 6 - 3) + 2*f + 2*f - 3*f + f + 0*f - 3*f.
53*f
Expand (-2*d + 4 + 24*d + 13*d)*(-d**2 + d**2 - 2*d**2)*(-d**2 + 3*d**2 + 3*d**2).
-350*d**5 - 40*d**4
Expand (3 - 3 + 2*g)*(-103*g + 57*g + 12840*g**2 - 1078*g**2 + 46*g).
23524*g**3
Expand (1381 - 532 - 567)*(-1 + 408*n + 8 - 401*n).
1974*n + 1974
Expand (-3822 + 3760 + 2125)*(-w + w + w).
2063*w
Expand (3*y**2 + 1 - 1)*(537*y - 632*y - 2552*y)*(0*y**2 + y**2 + 2 + y**2).
-15882*y**5 - 15882*y**3
Expand (4*h - h - 5*h)*(308 - 159 - 236) - 7 + 2 - 17*h + 3.
157*h - 2
Expand (-2*q**2 + 1 - 1)*(-26613*q**3 + 26669*q**3 - 1 - 2) + q**4 - q**5 - q**4 + (-2*q**4 - q**3 + q**3)*(1 - 2*q - 1) - 3*q**5 + 5*q**5 + 0*q**5.
-107*q**5 + 6*q**2
Expand -44*i**2 + 39*i**2 + 141*i**2 + (-9 - 6 + 17)*(-2 + 2 + 2*i**2).
140*i**2
Expand (m - m**5 - m)*(0 - 2 + 3) + (2*m**3 + m - m)*(-1 + m**2 + 1) - 314*m**5 - 193*m**5 + 224*m**5.
-282*m**5
Expand (0 - 1 - 2)*(-11*v - 14*v + 4*v + (0 - 2*v + 0)*(-2 - 9 + 3))*(0*v + v - 2*v + (v + v + 0*v)*(0 + 8 - 4)).
105*v**2
Expand (2*y**2 + 0*y + 0*y)*(-2 + 3 + 0) + 5*y + y**2 - 5*y + (1 + 1 + 0)*(-64*y**2 + 51*y**2 - 63*y**2).
-149*y**2
Expand (1 - 1 - 4)*(-q**4 - 1 + 1)*(2 - 2 + q) - 57*q**5 - 22*q**5 + 77*q**5 + 4324*q**4.
2*q**5 + 4324*q**4
Expand ((6 - 1 - 3)*(3 + 4 - 5) + (3 - 1 + 4)*(2 - 2 + 1))*(f + 29 + 2*f - f).
20*f + 290
Expand (-1 + 2 + 2)*(-4 + 4 + h)*(418 + 7 - 50).
1125*h
Expand (0 + 3 + 0)*(0 + 4 - 3)*(1585*j**2 - 1585*j**2 - 120*j**3).
-360*j**3
Expand -70*f**5 + 71*f**5 - 97*f**4 - 69*f**4 + (2*f - 2*f - 4*f**3)*(6*f**2 - 2*f**2 - 3*f**2).
-3*f**5 - 166*f**4
Expand -2*z**4 + 0*z**2 + 0*z**2 + (2*z**2 - 2 + 2)*(-z**2 - 3*z**2 + 2*z**2) + 3 + 3*z**4 - 3 + 3279*z**2 - 3279*z**2 - 19*z**4.
-22*z**4
Expand (2*a + 3*a - 4*a)*(0 + 2 + 1) - a - 966 + 1649 - 990.
2*a - 307
Expand 2*n**2 - 4 + 4 + 2*n**2 + n - n - 2*n + 2*n - 2*n**2 + (-n + 5 - 5)*(-2 + 2*n + 2) - 2*n**2 + 6*n**2 - 3*n**2 - 600 + 599 - 12*n**2 - 72*n**2.
-83*n**2 - 1
Expand (18 - 38 + 17)*(239 + 235 - 520)*(3*f - 6*f + 2*f + (5*f - 5*f + f)*(3 - 5 + 4) + 5*f - 3*f + 0*f + 2*f - 1 + 1).
690*f
Expand (2 + 2 - 2)*(-1020*u + 1209*u + 3509*u + 473*u + 2259*u)*(-1 + 1 - 5).
-64300*u
Expand -3*c**5 + 5*c**5 - c**5 - c**5 + 4*c**5 + 5*c**5 + (-3 + 3 - c)*(2*c**4 - 3*c**4 - 2*c**4) + (-4*c + 4*c + 2*c)*(-5*c**4 + 6*c - 6*c).
2*c**5
Expand (-35 - 4*g**4 + 35)*(3*g - g + 2*g) + (4*g**3 + 0*g**3 - 5*g**3)*(-g + g + g**2).
-17*g**5
Expand (10 - 2*b - 2*b + 5*b)*(118*b - 252 - 226*b + 110*b).
2*b**2 - 232*b - 2520
Expand (2 - 2 - 4)*(-83693 - 963*d + 83693).
3852*d
Expand 4 - 4*k**2 - 4 + (k**2 - 2*k**2 - k**2 + (-2*k + 2*k + k)*(-k + k - 2*k))*(-3 - 42 - 28) + (-3*k**2 + 4*k**2 + 0*k**2)*(2 + 0 - 1).
289*k**2
Expand 234*d**2 + 106*d**2 - 129*d**2 + (2 + 0 - 1)*(d**2 + 4*d**2 - 3*d**2).
213*d**2
Expand 131*y - 7*y**2 - 131*y + 2*y**3 + (-2*y**2 - 3 + 3)*(19*y + 12*y - 13*y) - 2*y**3 - 2*y**3 - 2*y**3.
-40*y**3 - 7*y**2
Expand (-k - 2*k + k)*(886*k**3 + 7210*k**2 - 3611*k**2 - 3599*k**2).
-1772*k**4
Expand (114*c - 119*c + 2 + 0)*(3*c**4 + 13*c - 13*c).
-15*c**5 + 6*c**4
Expand -4 + 4 - 11*q**5 + (2*q**2 - q**2 - 2*q**2)*(2 + q**3 - 2) + 127*q**4 + 12185*q**5 - 12187*q**5 + q**4.
-14*q**5 + 128*q**4
Expand (-k - 2*k**2 + k)*(-1 + 1 - k) - 3*k**3 + 4*k**3 + 0*k**3 + 3*k - 3*k + 3*k**3 + 5*k - 5*k + 2*k**3 + (k**2 - 3*k**2 + 3*k**2)*(2*k - 5*k + 5*k).
10*k**3
Expand (-39*r**3 - 154*r**3 - 274*r**3)*(r - r**2 - r) + (-r**3 - 3*r - 2*r**3 + r)*(20 - r**2 - 20).
470*r**5 + 2*r**3
Expand (51 - 51 + 10*z)*(4*z**2 - z**2 - 5*z**2)*(3*z**2 - 7*z**2 + z**2).
60*z**5
Expand (5*k - 3 + 2 - 6*k)*(-467 - 1439 - 293).
2199*k + 2199
Expand (34*n**3 + 3*n**2 - 5*n**2 - 27*n**3)*(173 - 173 + 20*n**2).
140*n**5 - 40*n**4
Expand 2*u**2 + u**2 - 2*u**2 + (-244*u + 451*u - 47*u)*(-4*u - 3*u + 5*u).
-319*u**2
Expand (0*l**2 + 2*l**2 + 0*l**2)*((-3*l + 4*l + l)*(-3 + 2 - 3) + 19 - 19 - 61*l).
-138*l**3
Expand (2 + v - 2)*(7 - 2 - 3)*(2*v**3 - v**3 + 2*v**3)*(-409*v - 38 + 231*v + 189*v).
66*v**5 - 228*v**4
Expand (-4*a + 3*a + 0*a)*(-5 + 1 + 1) - 12*a + 12*a - 6*a + 3*a - a - a.
-2*a
Expand (-3 + 4 + 1)*(o - o + o) + (18*o + 1061 - 2119 + 1059)*(-1 - 1 + 4).
38*o + 2
Expand ((-4*d**2 - d**2 + 6*d**2)*(-d - 2 + 2) + 24*d**3 + 5*d**3 + 36*d**3)*(118*d - 18*d**2 - 118*d).
-1152*d**5
Expand 1363 + 543*u - 1363 + 4*u - 2*u + 0*u - 1 + 2*u + 1 + (6*u - u - 3*u)*(0 - 4 + 5) - 2*u - 2*u + 3*u.
548*u
Expand (3 + 1 - 2)*(3*z - 4*z - z)*(-2*z - 2*z**2 + 2*z)*(225 + 187 + 287).
5592*z**3
Expand (-4*o**5 + 3*o**5 + 2*o**5)*(-13960 + 6555 - 12836 - 22936 - 12625 - 3592).
-59394*o**5
Expand (-9 + 9 + 5*u)*(-4 + 2 + 1) - 31*u + 13*u - 17*u + (-1 - u + 1)*(3 - 3 + 1) + u + u + 0*u.
-39*u
Expand (t - t**3 - 2*t + 4*t)*(210*t + 5415 - 5415).
-210*t**4 + 630*t**2
Expand (-4 - 3 - 1 + (-2 + 5 - 2)*(-3 - 2 + 4))*(98*z + 251*z + 161*z + 201*z).
-6399*z
Expand -2*w + 2*w + 2*w + (3 - 1 + 0)*(5 - 5 - 2*w) + 4*w - 2*w - 3*w + 1835 + 58*w - 1835 + 0*w - w + 0*w.
54*w
Expand (v**3 - 4*v**3 + 4*v**3)*(-5 - 10 + 2)*(-11*v + 7*v - 30*v).
442*v**4
Expand (23 - 3*h - 23)*(h - 7*h + 0*h) + h + 0*h - 36*h**2 + 40*h**2.
22*h**2 + h
Expand (a - a + 2*a)*(-350 - 356 + 466).
-480*a
Expand (-3*b + b + b)*(71084 + 3925 + 10120 + 61713 - 12005 + 7040).
-141877*b
Expand 398*y - 628*y + 323*y + (2 + 1 - 4)*(20 - 5 - 7)*(-7*y + 3*y + 2*y).
109*y
Expand (2606*p + 2267*p - 4440*p)*(2*p + 56*p**4 + 10*p - 58*p**4).
-866*p**5 + 5196*p**2
Expand (6 | {
"pile_set_name": "DM Mathematics"
} |
e?
False
Suppose 453 - 17585 = -4*l. Suppose 22*x - 26*x + 44 = 0. Suppose x = -2*w + 5, 5*w = 4*c - l. Is c a prime number?
False
Let n(h) = -136706*h + 781. Is n(-3) prime?
True
Let h = 2154 + 49543. Is h a prime number?
False
Suppose 4*k + 2*b - 246722 = 0, 185038 = 3*k + 235*b - 230*b. Is k a composite number?
False
Let b(p) = -114*p**3 + 4*p**2 + p - 2. Let y be b(-2). Let v be (1/(-4))/((-21)/y). Suppose 3485 = v*x - 6*x. Is x prime?
False
Let p be (27/(-5) - -7)*(-15)/(-6). Let z(x) = -x**3 + 9*x**2 - 21. Is z(p) a composite number?
False
Let k be 1 + -3 - 3288/(-5 - -3). Suppose 0 = -4*u + 4*v + 8708, -4881 = -3*u + v + k. Is u a prime number?
False
Let d(w) = 9*w - 50. Let h be d(6). Suppose -h*x = 2*x - 2352. Suppose 2*t - x = 4790. Is t composite?
False
Let h = 61168 - 20297. Is h composite?
True
Suppose 3*o + 4*d = 131807, 4*d = 24 - 16. Is o composite?
False
Suppose -q = 4*u - 18657, -5*u + 476*q = 481*q - 23340. Is u composite?
False
Let d be (-1)/2*-36682 + 4. Suppose 23*u - d = 18*u. Is u a prime number?
False
Suppose -22*c - 1 = -23*c. Let k(u) = 7359*u + 34. Is k(c) a prime number?
True
Let z be 17810/6 - (-2)/(-6). Let o(x) = x**3 + 23*x**2 + 20*x - 41. Let v be o(-22). Suppose r - h - z = -0*r, 2*h + 8907 = v*r. Is r prime?
True
Let x = 1935 + -1303. Suppose -10*w = -2598 - x. Suppose -w = -5*p + 482. Is p a prime number?
False
Is -7*55021/2*-2 composite?
True
Suppose -17*w = -18*w - 3*t + 1635835, -5*w + 8179115 = 5*t. Is w composite?
False
Suppose -5*t + 28 + 2 = 0. Let u(k) = 156*k + 46. Let c be u(t). Is c + 6*(-3)/6 a prime number?
False
Suppose -5*d - 10 = -0*d - 3*l, -d - 3*l = 20. Let x = d - -9. Suppose x*h = 12*h - 4696. Is h composite?
False
Let r be 4/10 - 22473/(-5). Is ((-28)/8 - -3) + r/10 prime?
True
Let r(w) = 779*w**3 - 5*w**2 + 23*w - 52. Is r(3) prime?
False
Let s(j) = -j**3 - 41*j**2 - 77*j + 53. Let o be s(-39). Let n(w) = 4*w**3 + 7*w**2 - 19*w + 15. Is n(o) prime?
True
Is 228/(-6726) + 5800827/177 prime?
False
Let z = 541891 + -247430. Is z a prime number?
True
Suppose 4*w + t = 85704, -4*t - 23308 - 126697 = -7*w. Is w a composite number?
True
Let j(d) = 50*d**2 + 16*d - 57. Suppose 0 = 2*k + 6*g - 11*g + 5, -12 = -4*g. Is j(k) prime?
False
Let c(k) = -k + 10. Let v be c(10). Suppose v = -10*w + 606 - 196. Suppose -w*s = -45*s + 812. Is s prime?
False
Let v = 758 - 1270. Let t = 2429 - v. Is t a composite number?
True
Let j be (-60)/(-27) + (-6)/27. Suppose x = -3*y + 6, 5*y - x - 3*x = 27. Suppose y*g + 1423 = 5*n, 3*n - j*g - 942 = -89. Is n a prime number?
False
Suppose -123*c + 48*c = 55*c - 57927090. Is c composite?
True
Let z = -229 + 233. Suppose -5*n + 5959 = -z*u, 5*n + 1347 = -2*u + 7300. Is n a composite number?
True
Suppose -5*t - 17*y = -12*y - 40, -2*t = 3*y - 18. Suppose 40101 = 2*l + 5*p, -7*p = -2*l - t*p + 40107. Is l a prime number?
False
Suppose l - 516414 = -2*g + 2*l, -5*l - 774607 = -3*g. Is g a composite number?
True
Suppose -2*y = 3*f + 59091, 15 = 4*f + 3. Let z = -11790 - y. Suppose r - 1332 = 5*p + 3078, 4*r + 4*p - z = 0. Is r a composite number?
True
Let c = 44 - 24. Suppose 74 = -2*s + c. Let j(w) = -48*w - 79. Is j(s) a composite number?
False
Let n(x) = 131*x**2 + 9*x - 49. Suppose -4*c + 3*f + 13 + 14 = 0, -3*c - 5*f = -13. Is n(c) a composite number?
False
Suppose 21 = 4*q - 3*d - 4, -5*q + 5*d = -35. Suppose q = 6*k + 4. Suppose 0 = 2*l - 5*n - 302, 2*l + 5*n = -k*n + 342. Is l composite?
True
Suppose 267349 = -19*d + 1795790 + 598248. Is d a composite number?
True
Let b(l) = -6*l + 139. Let c be b(23). Is ((-30)/5 + 4553)/c prime?
True
Let o(v) = 31*v**3 - 7*v**2 + 12*v + 4. Let q(p) = -15*p**3 + 4*p**2 - 6*p - 2. Let y(m) = -2*o(m) - 5*q(m). Is y(3) a composite number?
False
Let y be (-3)/(-2) - (-4 + (-68)/(-8)). Is 3/(-2)*2/y*8285 prime?
False
Suppose -44 = 3*a - 14*a. Suppose 12 = 2*j - 6*j, -a*j = -2*k + 20. Is ((-5748)/(-30))/(k/10) prime?
True
Let z = 10917 + 6900. Is z prime?
False
Let o(t) = t**3 - 25*t**2 + 20*t + 98. Let u be o(24). Suppose 0 = -u*y - 4*z + 17689 + 26721, -111025 = -5*y - z. Is y prime?
False
Suppose -2*x = -3*z - 120686, 6*x - 23*z - 362026 = -18*z. Is x prime?
True
Let a = 25417 - 15246. Let s = -7232 + a. Is s a prime number?
True
Let c(a) = 104*a**2 - 15*a - 20. Let p be c(6). Let h = 16425 - p. Is h a prime number?
True
Let q(r) = 2604*r**2 + 135*r - 34. Is q(13) prime?
True
Let f = -217 - -225. Is 3/(-2)*(f - (-4792)/(-12)) composite?
False
Let r = 34476 + 27337. Is r a prime number?
True
Let b(r) = -6*r + 1508. Let u(i) = 13*i + 2*i + 3*i - 13*i - 1509. Let n(m) = -2*b(m) - 3*u(m). Is n(0) a prime number?
True
Let m be (-3640)/(-4) + -5 + 3. Suppose -3*u = 5*x - m, -5*u + 1994 = -3*x + 492. Is u prime?
False
Suppose -20 = -7*r + 8. Suppose -13 - 20 = -5*t + k, -t = r*k + 6. Suppose 4*c + 1041 = d, 4*c - t*c = d - 1071. Is d a composite number?
False
Suppose 20 = 5*b - b. Suppose -x + 2812 = 5*l, -b*l - 2*x = 2*x - 2803. Suppose q - l = 3*f, q - 348 = -3*f + 203. Is q composite?
False
Let i = -5257641 - -9297992. Is i a prime number?
False
Let w(t) = -174*t**3 - 6*t**2 - 13*t - 18. Let r be (-1)/((-4 - 105/(-25))/1). Is w(r) a prime number?
True
Let l(d) = -d**2 + 15*d + 21. Let a be l(16). Suppose a*m = 3*b - b + 1641, -m = -b - 327. Is m a composite number?
True
Suppose -49 = -5*u + 71. Let q be ((-4164)/u)/((-1)/2). Suppose -r = -0*r - q. Is r a composite number?
False
Suppose 24*i + 280948 - 510448 = 725148. Is i composite?
True
Suppose -27*v + 17051224 = 6624229. Is v a prime number?
False
Let v = -20 - -26. Is (v + -10)/(-2) + 4325 a prime number?
True
Let c(y) = -1648*y + 118. Let i = 326 + -333. Is c(i) composite?
True
Let x = -21283 + 1494. Let p = -12420 - x. Is p a composite number?
False
Suppose b + 2545 = 8442. Let z = b + -2760. Is z composite?
False
Suppose -11947 = -s - 5*f, -4*f - 47692 = -213*s + 209*s. Is s prime?
True
Let y(d) = -82090*d - 259. Is y(-3) composite?
False
Suppose 0 = 2*x - 293 - 91. Suppose 396 = -4*a - p, 7*p - 5*p + x = -2*a. Is (-69040)/a - 6/(-10) composite?
False
Suppose 15 - 13 = -c. Let z be (-3)/(-6)*-8691*c. Suppose -2*j = j - z. Is j composite?
False
Let b(z) = 10986*z - 6215. Is b(7) prime?
True
Let a = 94250 - -176219. Is a prime?
False
Is (-155577340)/(-2670)*(7/2 + -1 - 1) a prime number?
True
Suppose 7*p = -34 + 34. Suppose 5*t + 0*t + 4*n - 86415 = p, 2*n - 86425 = -5*t. Is t a prime number?
False
Let q(p) be the first derivative of p**4/4 + 25*p**3/3 - 16*p**2 - 25*p + 172. Is q(-18) composite?
False
Let t(r) = 76*r**3 + 5*r**2 - 13*r + 14. Let q be t(5). Suppose -5*s + f = -3*s - 9564, 2*s = -4*f + q. Is s composite?
False
Let m = -35192 - -55970. Suppose -73*y = -79*y + m. Is y composite?
False
Suppose 1250*d - 1279*d = -1387273. Is d composite?
False
Suppose 48 = 5*q - 3*w + 2*w, 27 = 4*q + 3*w. Suppose -8248 = -q*m + m. Is m composite?
False
Let l be ((-8)/(-14))/2 + (-16960)/70. Suppose 213 + 2592 = 5*u. Let v = l + u. Is v a composite number?
True
Let m(d) = d**3 + 4*d**2 + 4*d + 16. Let z be m(-4). Let n(f) = -f**2 - f + 4153. Is n(z) prime?
True
Let o(c) = 10*c - 5. Suppose -3*r + 18 = 15. Let u be o(r). Suppose -u*m + 3*t + 10790 = 0, m - 1739 = -3*t + 401. Is m a prime number?
False
Suppose 6*j - 7*j = 8. Is (-211)/(-2 + (-7 - j)) prime?
True
Is 2/(2/(-18) - (-4227195)/38042325) composite?
True
Let n(w) = w - 6. Let l be n(2). Let o be (-58635)/(-60) + (1/l - 0). Suppose -266 = -c + o. Is c a composite number?
True
Let u be 0 + -1 + 5 + -5. Let s be 3/u*(-5 + 2)/3. Suppose 2*b - s*t = 283, b - 6*b - 3*t = -739. Is b a composite number?
True
Suppose 203*x - 30012290 = 36763545. Is x prime?
False
Let o be (-3)/(-1 - -4)*35/(-5). Suppose -2*a + o*a - 10086 = -m, 4*a = 3*m + 8065. Is a a composite number?
False
Is (-14)/91*(-13)/2*36811 composite?
True
Let p be (0 + 1 + 711)/((-64)/(-192)). Let w = 5627 - p. Is w a prime number?
True
Let t be ((-14)/5)/14 - (-13098)/(-10). Let b = 3473 - t. Is b composite?
False
Let r be 1*3*8/12. Suppose -4*h = 16, -h + 3*h = 4*b - 28. Suppose -2*s = r*s + c - 2777, s = b*c + 689. Is s prime?
False
Suppose -2*x - 32 = -2*j, -4*j - 4 = -2*x - 62. Let b(m) = -m**3 + 19*m**2 - 23*m + 36. Is b(j) composite?
False
Let p(s) = -101*s + 93*s | {
"pile_set_name": "DM Mathematics"
} |
z) = -2*z**3 - 9*z**2 - 11*z - 80. Suppose -21 = 5*p + 2*k, -98*p + 28 = -102*p + 4*k. What is f(p)?
0
Let n(o) = 2*o**2 - 3*o - 4. Suppose 7*m = 74 + 2411. Let t = 359 - m. Calculate n(t).
16
Let t be (-6)/(-60)*2 - (-2 - (-29)/(-5)). Let b(d) = -d**3 + 10*d**2 - 11*d + 4. Calculate b(t).
44
Let b be 93/(-12) - 9/36. Let g(v) = -v**2 + 4*v - 24*v + 1 + 9*v + 3*v. Give g(b).
1
Let r(y) = -2 + 3*y - 7 - 5*y - 12 + 5. Calculate r(-12).
8
Suppose -5*i - 12 = 13. Let r(z) = z**3 + 29*z + 83*z**2 - 4 - 9*z + 82*z**2 - 14*z - 159*z**2. What is r(i)?
-9
Let u(f) = 54*f**2 - 9*f - 1. Let m(z) = -46*z**2 + 11*z. Let i(h) = 3*m(h) + 4*u(h). What is i(-1)?
77
Suppose 5*p - 8*d = -9*d - 26, -p - 5*d - 10 = 0. Let l(m) = 11*m + 43. Give l(p).
-12
Suppose -6*x + 295 - 463 = 0. Let a be x/21*(-165)/20. Let h(b) = -b**3 + 10*b**2 + 9*b + 6. Give h(a).
-16
Let n(p) be the first derivative of -1/4*p**4 + 46 + 4/3*p**3 + 3/2*p**2 + p. Suppose -5*t = 2*s + s + 16, 6 = -s - 2*t. Determine n(s).
19
Let l(j) = -j**2 - 5*j + 4. Let o(g) = -g**3 + 3*g**2 + 18*g + 1. Let y be o(6). Let u(p) = 103*p**2 + 2*p - 1. Let d be u(y). Let a = d + -111. Give l(a).
-10
Let w(u) = -8*u. Suppose -2122*r + 2111*r + 55 = 0. What is w(r)?
-40
Let q(p) = -6*p + 8. Let u = 5595 - 5593. Determine q(u).
-4
Let h(i) be the third derivative of 3*i**5/4 - 5*i**4/24 - 2*i**3/3 - 62*i**2. Let x(l) = 2*l + 2. Let t(c) = -h(c) - 2*x(c). Calculate t(-1).
-46
Let t(o) = 13*o**2 - 68*o + 299. Let l(s) = -6*s**2 + 34*s - 148. Let x(z) = -9*l(z) - 4*t(z). Give x(10).
-4
Suppose -q + 15*q + 21*q = 0. Let p(a) be the third derivative of 0*a**4 + 0 - 1/120*a**6 - 7*a**2 + q*a**5 - 4/3*a**3 + 0*a. Calculate p(0).
-8
Let b(s) = -s + 6 + 2*s**2 + 5*s + 3*s**2 - s**3. Suppose 60*u - 201*u = -98*u - 258. What is b(u)?
-6
Let h(b) = 141*b. Let i(t) = 281*t. Let u(z) = -10*h(z) + 5*i(z). Let g(k) = -k - 1. Let p be g(-2). Determine u(p).
-5
Let c(r) = -19*r - 2073177*r**2 + 70*r - 57 + 2073178*r**2. Give c(-52).
-5
Suppose 13*w - 1 = 51. Suppose -2*v = -4*u, -9 = -w*u - 3*v - 29. Let p(l) = -4*l**2 - 4*l - 3. Determine p(u).
-11
Let f(g) = 3*g**2 - g + 1. Let b = -462 + 464. Suppose 0 = -b*r - 4*n - 4, 0*r + 5*r + 10 = 5*n. Calculate f(r).
15
Let w(x) = 11*x**3 + 488 + 7*x**3 - 489. Suppose 0 = -4*v - p + 9, -3*v - 1 = -p + 1. Calculate w(v).
17
Let i(a) = a. Let f(x) = -x**3 + 5*x**2 - 6*x + 4. Let k(r) = -f(r) - 5*i(r). Let o be 1041/4511*(-130)/(-6). Calculate k(o).
1
Let h(x) = -x**3 - 5*x**2 + 2*x - 10. Let p = -530 - -536. Let q(w) = -2*w**3 - 10*w**2 + 5*w - 19. Let a(g) = p*q(g) - 11*h(g). What is a(-6)?
-16
Let m(n) be the second derivative of -35 + 1/2*n**2 - 1/2*n**3 - n. Suppose 6*o = 2*o + 2*f + 18, o = -4*f. Give m(o).
-11
Let o(b) be the third derivative of -b**6/360 - b**5/40 - b**4/6 - 17*b**3 + 96*b**2. Let f(m) be the first derivative of o(m). What is f(5)?
-44
Let q(u) be the first derivative of -u**4/4 - 11*u**3/3 - u**2 + 10*u + 1049. What is q(-10)?
-70
Let b(n) = 47*n - 142*n - 4 + 50*n - 3 + 48*n. Calculate b(18).
47
Let l(z) = -4*z**2 + 7*z**2 + 6*z + 16 + z**2 + 23 - 57. Calculate l(4).
70
Let q be (2*10/((-200)/30))/(1/(-3)). Let w(s) = 11*s - 110. Determine w(q).
-11
Let g(m) = m**3 + m**2 - 5*m + 1. Suppose -278 + 580 = -11*h + 269. Give g(h).
-2
Let l(f) = -10 + 0*f**2 + f**2 + 10*f - 1. Let o(g) = -13*g**2 + 230*g + 232. Let x be o(-1). Determine l(x).
0
Suppose -6*g + 10*g = -5*m + 1524, -3*m = 12. Let t = g - 388. Let r(f) = -2*f**3 + f**2 - 3*f - 1. What is r(t)?
25
Let a(i) = 9*i - 24. Let x(n) = -13*n + 21. Let r(l) = -3*a(l) - 2*x(l). Give r(24).
6
Let f(p) = p**2 + 20*p + 24. Let b(t) be the third derivative of -t**5/30 - t**4/4 - 19*t**3/6 - 291*t**2. Let a be b(-3). Determine f(a).
5
Let b(q) = 2*q**2 - 26*q + 17. Let a be (-19)/(-57) + 140/12. Determine b(a).
-7
Let v(x) = 8*x + 3*x**2 - 9 - 15*x**2 + 9*x**2 + 27 - x**3. Determine v(-3).
-6
Let z(m) = 2*m. Let k(l) = -7*l - 10. Let t(v) = 3*v. Let x(p) = -3*k(p) - 6*t(p). Let d be x(-8). Give z(d).
12
Let j(x) = x**3 + 12*x**2 + 13*x + 15. Let l be ((-20)/4 - 6)/(18 + -17). What is j(l)?
-7
Let n(o) = -4*o**2 + 68*o + 6. Let k be n(17). Let m(q) = k - 7 - 20*q**2 + 2*q - 11*q**2. What is m(1)?
-30
Let z(l) = 6 - 23*l - 14*l + 38*l. Let h be (-8)/12*3*-1. Suppose 4*p = 3*v + 1, -1 + h = 2*v - 3*p. Calculate z(v).
-1
Let a(i) = -i**2 + 2*i - 1. Let c = 209 - 188. Suppose p = 8*p - c. Calculate a(p).
-4
Suppose -73 = -37*v + 38. Let w(g) = -9*g**2 - 2*g**v - 4*g**3 + 5*g**3 + 5*g**2 - 2*g + 8*g + 4. Calculate w(-5).
-1
Let g(j) = j**2 + 234 - 4*j**2 - 240 + 13*j. Let z be g(4). Let b be (-2)/((-54)/141) + z/9. Let s(f) = -f - 7. Determine s(b).
-12
Suppose -3*i + 5*m = -i - 7, i - m = 2. Let o(j) = -10*j**3 - 47*j**2 + 6*j**3 - 56*j**2 + 46*j**3 + 104*j**2. What is o(i)?
43
Let q(j) = 7*j**2 - 13*j + 78. Let d(k) = 3*k**2 - 7*k + 32. Let f(a) = -5*d(a) + 2*q(a). Determine f(9).
-4
Let b = -22 + -1. Let n = b - -45. Let c(w) = 2*w**3 + n*w**2 - 14*w**2 + 0 - w**3 - 10. Calculate c(-8).
-10
Suppose j - 43 = -2*z - 45, 0 = -2*j - 2*z. Let r(w) be the third derivative of -1/60*w**5 + 0 + 25*w**j + 2/3*w**3 + 1/4*w**4 + 0*w. Calculate r(6).
4
Let s(c) = c + 1849 + 0*c - 1846. Let u be 4/10*5 + -5 + 0. Calculate s(u).
0
Let r be (-88)/(-48) - (-2)/12. Let j(l) = -1 - l**3 + 130*l**2 - 2 - r - 137*l**2. Determine j(-7).
-5
Let d(b) = b**2 + 17*b + 40. Let l be d(-4). Let z(k) = k**2 + 16*k + 49. Give z(l).
1
Let x(v) be the first derivative of -3/2*v**2 + 3*v - 149. Give x(-6).
21
Let d(c) = c**2 + 8*c + 38. Let i be d(-5). Suppose -3*j - 4*u = i, -7*j + 2*j - 4*u - 33 = 0. Let x(y) = -y**2 - 3*y - 3. Determine x(j).
-13
Let w = -69 + 70. Suppose -3*t + w - 12 = 4*j, 28 = -5*t + 3*j. Let c(f) = 2*f - 1. Let a(n) = 1. Let d(r) = 5*a(r) + c(r). Give d(t).
-6
Let o(m) = 12 - 47*m**2 + 91*m**2 - 2*m**3 + m**3 - 50*m**2. Calculate o(-5).
-13
Let o(n) be the second derivative of n**5/20 - 4*n**4/3 - 5*n**3/2 - 39*n**2/2 - 629*n. What is o(17)?
-5
Let c(m) be the second derivative of m**5/20 + 7*m**4/12 - m**3/6 + 7*m**2/2 + 27*m. Calculate c(-7).
14
Let m(g) be the first derivative of 1 + g - 1/3*g**3 + 2*g**2. Let x be (((-90)/16)/9)/(34/(-272)). Give m(x).
-4
Suppose 16*z - 332 = 14*z. Let j = z + -162. Let u(b) = b**3 - 2*b**2 - b + 1. Give u(j).
29
Let v(u) = 2567*u + 2535*u - 5099*u - 19. Give v(20).
41
Suppose 17*l + 20 = -4*t + 15*l, 3*t + 36 = 2*l. Let g(m) = -4*m - 8. Calculate g(t).
24
Let u(w) = 2*w - 14*w**3 + 4*w**3 - 3 + 2. Suppose -s = 2*f - 5, 23 - 4 = 4*f + 5*s. Give u(f).
-9
Let n(q) be the third derivative of q**6/120 + 17*q**5/60 - 59*q**4/24 + 7*q**3/2 - 467*q**2. Calculate n(-20).
1
Let f be (-2)/(-6) - (-40)/(-3). Let o = f + 16. Let y(g) = -8*g**3 - 3 + 0*g**3 + 2*g - 2*g**o + 2. What is y(1)?
-9
Let r(m) = -m - 9. Suppose 0 = 3*l + 19 - 1. Let d be (3/(3 + 0))/(l/18). Let y(g) = g**3 + 5*g**2 + 4*g - 6. Let n be y(d). Give r(n).
-9
Let i(u) = -71*u**2 + 12*u - 9. Let l(f) = -319*f**2 + 49*f - 34. Let q(v) = 9*i(v) - 2*l(v). Determine q(7).
8
Let t(j) = -j**2 - 9*j - 6. Suppose 0*o = -5*d - o + 22, o - 14 = -3*d. Suppose 3*f - d*f + 5 = 0. Suppose -56 = f*r + 4*z, 1 = r + z + 13. What is t(r)?
2
Let t(r) be the third derivative of r**6/120 - r**5/10 + r**4/24 - r**3/2 + 801*r**2. Determine t(5).
-23
Let h(g) = -g**2 + 20*g - 18. Suppose 55*t = 3208 - 2053. Calculate h(t).
-39
Let v(r) = -r. Suppose 37*u = 20*u + 102. Let y(l) = l + 8. Let x be y(-6). Let f be (-9)/u*(-2)/(-6)*x. Calculate v(f).
1
Let j(r) = r**2 - 14*r + 25. Let c be (196/(-280))/((-1)/20). Calculate j(c).
25
Let z(m) = -m**2 + 6*m + 84. Let x = -18787 + 18800. Give z(x).
-7
Let l(q) = q**3 - 16*q**2 + 14*q - 9. Let t(r) = 8*r**2 - 17*r - 6. Let m be t(3). What is l(m)?
-24
Suppose 3 = 3*f, -4*t + 13 = -f - 2*f. Suppose t*j - 2*b = -26, b - 2*b + 9 = -j. Let s(y) = -150 - 2*y + 257 + y**2 - 112. Determine s(j).
19
Let k(z) be the second derivative of z**4/8 - 3*z**3/2 - 33*z**2 - 25*z + 1. Let v(m) be the first derivative of k(m). Determine v(4).
3
Let l(k) = k**2 - 39*k - 1. Let y = 8727 + -8688. Give l(y).
-1
Let b be (-10 - 0/12)*1/(-2). Let r(p) be the third derivative of -14*p**2 + 0 - 1/60*p**5 + 0*p + 7/24*p**4 - 5/6*p**3. Calculat | {
"pile_set_name": "DM Mathematics"
} |
t t = -10.7 - -0.7. Let f = -61 - -59. Sort f, -1/6, t.
t, f, -1/6
Let o = -1 - -0.2. Let d = o - 4.2. Suppose -3*t = 5*m + 3 + 17, -2*m + 2*t - 8 = 0. Sort -7, d, m in decreasing order.
m, d, -7
Let g(t) = 2*t - 16. Let y be g(13). Let m = 10 - y. Suppose 2*q = 3*k + 5, -4*q = -7*q - k - 9. Sort -5, m, q in ascending order.
-5, q, m
Suppose 0 = 11*n - 8*n - 15. Suppose -t + 9 = n. Sort 2, t, -1, -2 in increasing order.
-2, -1, 2, t
Let t = 595 - 596. Put 0, t, 24 in increasing order.
t, 0, 24
Let s be (-3 + 4 + -1)*-1. Let z be (-1)/(-6)*(-5 + 7 - 3). Sort -2/3, -0.1, z, s in decreasing order.
s, -0.1, z, -2/3
Suppose -28 = 240*x - 233*x. Sort 225, x, 0 in descending order.
225, 0, x
Let w(z) = -5*z - 114. Let x be w(-22). Sort 45, x, 4.
x, 4, 45
Let r(k) = k + 2. Let h = -43 + 39. Let c be r(h). Sort -3, 1/6, c.
-3, c, 1/6
Let f(c) = 6*c**3 + 3*c**2 - 6*c - 8. Let v be f(-1). Sort v, 4, -1, -70 in decreasing order.
4, -1, v, -70
Let u = -79 - -63.7. Let a = 4 + 11. Let n = a + u. Sort -1/3, n, 0.4 in increasing order.
-1/3, n, 0.4
Let c be (-9 + 16 - 15) + 61. Put -5, -2, c, 0 in decreasing order.
c, 0, -2, -5
Let g be 112/24*3/(-2). Let h = 26 + -23. Sort g, h, -2, -3.
g, -3, -2, h
Let t = 1 + -4. Suppose -2*m - 2 = -14. Suppose 5*d + f = -1, 3*d + 7*f - m*f + 1 = 0. Sort t, d, -0.1 in descending order.
d, -0.1, t
Let r(y) = -12*y**2 - 24*y - 22. Let p be r(-1). Put -0.1, 0, p in descending order.
0, -0.1, p
Let y = 1509/11 - 137. Let i = 0.09 + -1.09. Let q = -0.5 - i. Sort y, q, 4.
y, q, 4
Let h = 39 + -44. Suppose 0 = 2*p - 6, 3*t - 16 = -2*p + 8. Let x be -4 + 0 + t + -2. Put 1, x, h in descending order.
1, x, h
Let i = 88 + -124.7. Let n = i - -37. Sort 2, 0, n in decreasing order.
2, n, 0
Let u = 9 - 6. Suppose -l - u*l = 12. Let i(a) = -a**3 + 11*a**2 - 31*a + 9. Let j be i(6). Sort 4, j, l.
l, j, 4
Suppose 5*h = 4*v - 5*v - 21, 3*v = -3*h - 3. Put -4, 1, v in decreasing order.
v, 1, -4
Suppose 0 = 3*z + 2*s - 35, -s = -2*z + 17 + 4. Suppose 2*l - z = -7. Sort 7, 0, -1, l in increasing order.
-1, 0, l, 7
Let v(f) = f - 1. Let m be v(-4). Suppose 6 = 2*y - 5*b + 29, 0 = 5*y - 2*b + 26. Let j be 1*(-4)/8*-10. Sort y, j, m in increasing order.
m, y, j
Suppose 4*o = -2*k + 2, 3*o - 5 = -3*k + 4. Let c(u) = 2*u + 20. Let a be c(-8). Suppose -5*w - 8*s + 5 = -11*s, -w = 3*s - 1. Sort w, k, a.
w, a, k
Let f = -72/5 - -69/5. Let b = 1 + -1.2. Put 3, b, f in descending order.
3, b, f
Let m = -157 - -152. Let k be m/(-3) - 12/18. Put 3/4, k, 2/7, 3/8 in decreasing order.
k, 3/4, 3/8, 2/7
Let c(a) = -a**3 - 11*a**2 - 19*a + 10. Let g be c(-9). Sort 5, 2, g in increasing order.
2, 5, g
Let b be (11 + -4)/((-2)/4). Let t = -11 - b. Put t, 2, 10 in increasing order.
2, t, 10
Let i = -21 - -41/2. Suppose -4*d - 8 = 4*x, 5*d + x = -16 + 2. Let a = 4394 - 4396. Sort d, a, i in decreasing order.
i, a, d
Let f = -9/304 + -563/1520. Put 4, f, -1.6, -2/11 in descending order.
4, -2/11, f, -1.6
Let a = -1527 - -1531. Put a, -2, -6 in increasing order.
-6, -2, a
Let v = -59 + 29. Let p = 29.5 + v. Let i = 0.05 + 2.95. Sort p, i, -0.4 in increasing order.
p, -0.4, i
Let a be (-5)/(-1) - 0 - -6. Suppose 21 = -8*f - a. Put 5, 2/7, f in descending order.
5, 2/7, f
Let i be (66 - 30) + -9 + 0. Sort i, 0.4, -0.3.
-0.3, 0.4, i
Suppose 0 = -5*n + 4*t - 3*t + 31, 25 = 3*n + t. Suppose 6*j - 28 = -4. Sort j, 3, n, -2 in descending order.
n, j, 3, -2
Suppose 16*b - 2*d = 13*b + 8, d = 5*b - 18. Put -2/7, b, -4 in decreasing order.
b, -2/7, -4
Let g(n) = 57*n - 14. Let f be g(2). Let y = f + -103. Put y, -1/4, -3/2, -4 in ascending order.
-4, y, -3/2, -1/4
Let u be 0 - (7/112*116 - 7). Sort -1/3, u, 0.4 in decreasing order.
0.4, u, -1/3
Let l be (42/28)/(4/(96/9)). Sort 5, l, 3, -87 in descending order.
5, l, 3, -87
Let m(x) = -9*x - 68. Let g be m(-7). Sort g, 0, 1.2 in descending order.
1.2, 0, g
Let g(z) = 3*z**3 - 2*z**2 - z + 1. Let j be g(2). Suppose 0 = 6*n - j - 9. Sort 5, -2, n, 2 in descending order.
5, n, 2, -2
Suppose 0*h + 5*h = -y - 20, 2*y + 4*h + 10 = 0. Suppose 0 = -5*x - 2*w + 35, 0 = w + w + 10. Put -1, x, y in descending order.
x, y, -1
Let o = 1689.6 - 1690. Put 1, -6, o, 3 in descending order.
3, 1, o, -6
Suppose -4*j = -6*j + 6. Let c = -12 - -21. Let h be (-8)/36 + (-25)/c. Sort j, 2, h in ascending order.
h, 2, j
Let h = 9.1 - 10. Let t = -1.1 - h. Let k = 0 - -0.2. Put k, t, -2/5 in decreasing order.
k, t, -2/5
Suppose -7*k + 4 = 11. Sort -19, k, 4 in ascending order.
-19, k, 4
Let n = -0.06 + -0.04. Suppose -5*g + 6*g - 5 = 0. Put -3, n, g, -2/27 in ascending order.
-3, n, -2/27, g
Let g be (1/(-4) + 11/44)/2. Suppose 4*f - 6 - 26 = 2*p, 2*f + p - 12 = g. Sort f, -3, 1 in decreasing order.
f, 1, -3
Let q = 849 + -854. Sort 4, q, -27 in increasing order.
-27, q, 4
Let m = 6520/2301 + -1/4602. Let v = -1.2 + 0.2. Put 5, v, m in increasing order.
v, m, 5
Let y = -7221/7 - -1032. Sort -1, y, 1/12 in increasing order.
-1, 1/12, y
Suppose -4*q = -5*q, -5*q - 15 = -5*j. Sort 4, -10, j, -14 in decreasing order.
4, j, -10, -14
Let u be (-6)/(-4)*320/(-96). Put -6, 5, u in ascending order.
-6, u, 5
Let d be -2 - 221*4/40. Let i = d + 47/2. Let l = -4 - -2. Put i, l, 2 in descending order.
2, i, l
Suppose -7 = 3*o - 1. Suppose 5*x = -y - 24, 4*x = 3*y - 6*y - 28. Sort o, 61, y, -3 in ascending order.
y, -3, o, 61
Let b be (-8 + 4)*(-1)/(-4)*0. Let m be b/(1 + -2) + 156/(-26). Put m, 4, -3 in descending order.
4, -3, m
Suppose 1 = 2*m + 3. Let f be 32/12*(-6)/m. Suppose f = 2*v - 4*a, -4*v + 8*a = 3*a - 20. Sort v, 4, -1 in ascending order.
-1, v, 4
Let h = -25 + 29. Suppose 0 = -n - h*m - 24, -2*n + 2*m + 0*m = -2. Put -2, 5, n, 0 in ascending order.
n, -2, 0, 5
Suppose -105 = 186*y - 181*y. Sort y, -3, 2 in decreasing order.
2, -3, y
Suppose 0 = 6*c + 5 - 17. Put 0, -8, c in ascending order.
-8, 0, c
Let x = 64.3 - 11.3. Let u = x + -50. Sort 0, u, -2 in decreasing order.
u, 0, -2
Let j = -7.79 + 6.79. Let i = 201 + -1399/7. Sort j, i, 4 in decreasing order.
4, i, j
Let h be (-20)/300 - 86/(-390). Put h, 2/11, 2 in decreasing order.
2, 2/11, h
Let i be (-4)/14 + (-4)/(-63). Let g = 1274 - 10193/8. Sort g, -1, 4, i in increasing order.
-1, i, g, 4
Let c = -1 - -1.3. Let t = 483 + -500. Sort t, -0.1, c in descending order.
c, -0.1, t
Let x be (8 - (-147)/(-14))*2/(-5). Sort -5, 2, x in increasing order.
-5, x, 2
Let q be (-1)/(3/12) + -3. Suppose 0 = 3*k + 3*s - 8*s, 5*k = 5*s + 10. Let t = k - 9. Put t, 1, q in descending order.
1, t, q
Suppose 9 + 0 = -l. Suppose 0 = -61*y + 59*y + 10. Put l, y, 0 in decreasing order.
y, 0, l
Suppose -5*c + 3*l + 73 = 0, 3*c - 2*l = -5*l + 39. Suppose 12*g - c*g = 8. Suppose -5*k + 9 = -6. Sort g, -1, k in descending order.
k, -1, g
Let a be (-68)/(-144) - (-4)/(-18). Suppose -3*d + 12 = -d + 2*c, 3*d - 18 = 2*c. Let f be 2 - d - 57/(-15). Sort -2/11, a, f in descending order.
a, -2/11, f
Let t(v) = -5*v - 219. Let d be t(-43). Sort 0, -55, d.
-55, d, 0
Suppose 0 = -3*i + 11*i + 48. Let f = 8 + i. Let g(b) = -b**3 - 5*b**2 - b - 7. Let c be g(-5). Sort c, f, -5 in decreasing order.
f, c, -5
Let l(j) = j**3 - j + 20. Let c be l(0). Let s be 38/c - 2/5. Sort 2/3, s, 1, 5 in ascending order.
2/3, 1, s, 5
Let h be (-47 - -46)/(2/20*-2). Put 4, h, -4, 2 in descending order.
h, 4, 2, -4
Let l(k) = 3*k + 50. Let d be l(-15). Let y(z) = -z**2 + 21*z - 34. Let h be y(19). Put -3, h, d, -4 in descending order.
d, h, -3, -4
Let h be (12/(-9))/(108/(-405)). Sort h, -2/3, 0.2, -0.1 in descending order.
h, 0.2, -0.1, -2/3
Let v be 15*((-5)/15 + (-8)/(-6)). Let h be 8/(-6) - (-5)/v*-5. Sort h, 4, 9 in increasing order.
h, 4, 9
Let n = 681/2 - 340. Put n, 0, 3, 4 in decreasing order.
4, 3, n, 0
Let o = 79.982 + -80. Let g = -0.282 + o. Sort 0.4, -5, g, 5 in ascending order.
-5, g, 0.4, 5
Suppose 204 = 12*u - 7*u - 3*q, -4*q - 34 = -u. Put -5, u, 1 in ascending order.
-5, 1, u
Let f be 19/(-38) - 1*(-1246)/(-4). Sort -2, 0, -1, f in ascending order.
f, -2, -1, 0
Suppose -4*c + 13*c + 9 = 0. Put -11, 1, c in increasing order.
-11, c, 1
Suppose -4*p + 4 = -76. Suppose 0 = -8*c + 3*c - p. Sort 1, -3, -11, c in ascending order.
-11, c, -3, 1
Let r = 1.04 + -0.94. Sort -1/9, 0, r, 2/11 in descending order.
2/11, r, 0, -1/9
Let a be -2 | {
"pile_set_name": "DM Mathematics"
} |
198?
-1/10
Evaluate ((84/16)/7)/((-270)/(-9000)).
25
Calculate 45/(-30)*80/12.
-10
Calculate (-12)/186*(140/28)/(-5).
2/31
Calculate 42/75*(-430)/(-301).
4/5
30/(-7)*47/(1410/(-105))
15
Evaluate 15/36*(-957)/(-145).
11/4
What is the value of 5*(3/18*8)/((-5)/3)?
-4
Evaluate -2*3/(-24)*((-480)/9)/20.
-2/3
What is the value of (4/((-48)/(-15)))/((-11)/176*2)?
-10
What is 2/2*(28/70)/((-8)/20)?
-1
Evaluate 1/(-2)*((-1568)/(-168))/(-14).
1/3
(-4)/(-21)*-3*2*21/(-12)
2
Calculate ((-42)/3)/98*-2.
2/7
What is the value of (2*(-170)/(-1836))/((-10)/(-48))?
8/9
((-125)/125)/(-1*(-60)/(-4))
1/15
(-1)/((3/(-40))/(1116/(-465)))
-32
Evaluate (-18)/2*(2465/(-51))/29.
15
Evaluate (64/6)/4*(-2658)/443.
-16
Evaluate (((-50)/60)/(-5))/((-77)/44).
-2/21
(-4)/((5/12*1)/(20/8))
-24
Calculate ((-284)/994)/(6/28)*6/164.
-2/41
(-1440)/(-3330)*-1*2/(-16)
2/37
Calculate ((-9)/(-27))/((-22)/66).
-1
What is the value of ((-10)/42*6/(-70))/((-2)/(-21))?
3/14
Calculate ((-102)/272)/(6/3*9/(-12)).
1/4
Evaluate ((-1032)/430)/(21/(-10)).
8/7
What is (200/(-625))/((-16)/(-80))?
-8/5
8/10*2*(1955/102)/(-23)
-4/3
Calculate 6/(-16)*(-4)/(-36)*12.
-1/2
Evaluate (11/11)/(166/(-83)*25/2).
-1/25
What is the value of ((-52)/(-36))/(4*23/(-828))?
-13
Calculate (416/64)/(2/((-12)/3)).
-13
(((-23)/(-1449))/((-2)/(-24)))/((-12)/54)
-6/7
(12/1260)/(84/(-882))
-1/10
Evaluate (8/28)/((-84)/(-441)).
3/2
What is the value of (-31)/(-31)*12/(-102)?
-2/17
-7*22/770*-15
3
Evaluate ((-1)/(10/12))/((-6)/15).
3
Calculate (12/(-21))/(28170/2191).
-2/45
What is (3/(15/2))/(28/(-420))?
-6
Evaluate ((-42)/18)/((-35)/525).
35
What is 10*11/(1045/228)?
24
What is ((-5)/(-5))/((-20)/180)?
-9
((-34)/((-1156)/238))/(-4)
-7/4
Calculate (-1)/(2/2)*70/(-1330)*95.
5
Calculate (36/(-6))/(5/(-10)*1).
12
(-8)/(-4)*12/(-378)*(-108)/48
1/7
What is (27810/6489)/(((-6)/7)/(-2))?
10
5*2*(-65)/(-1625)*5/26
1/13
Evaluate ((-544)/(-187))/((-22)/121).
-16
Calculate ((-182)/117)/(-14)*-3*-2.
2/3
Calculate ((-2)/(-30))/(3/(-45)*(-50)/(-20)).
-2/5
What is 11/11*24/24?
1
3*9*(-64)/144
-12
What is (10/(-24))/((-2)/((-198)/(-55)))*4?
3
Calculate (6/32)/((-138)/920).
-5/4
Evaluate 2/(-3)*(-3)/(-30)*(-105)/(-119).
-1/17
((-20)/12)/(500/6900)
-23
Evaluate (-7)/((-308)/(-8))*979/1335.
-2/15
(782/85)/(-8*3/(-15))
23/4
What is ((-18)/(-3))/(8/16*72/(-12))?
-2
Evaluate 1*40/210*-7.
-4/3
14/(2*(-5)/1)
-7/5
Evaluate ((-24)/(-5))/(63/(-105)).
-8
Calculate ((-5)/85)/(27/(-18)).
2/51
Calculate ((-494)/6175)/((-12)/10*(-4)/3).
-1/20
What is ((-16)/(-10))/((-9)/(360/16))?
-4
Evaluate (-14)/(-2)*((-9)/42)/((-3)/4).
2
What is ((-4)/(12*-1))/(((-67)/48)/(-67))?
16
Evaluate 15/(-5)*(-88)/(-96)*8.
-22
What is (-10)/7*(-3)/2*-14?
-30
What is the value of ((-8)/(-168))/((-95)/2565)?
-9/7
What is the value of ((-6)/(-30))/((-14)/(-70))*7/(-1)?
-7
Evaluate ((-5)/12)/(((-2100)/210)/(16/14)).
1/21
(-7)/7*(-3)/(-9)*33
-11
Evaluate (-117)/(-234)*8/52.
1/13
What is the value of (-15*28/(-1470))/(15/(-21))?
-2/5
What is the value of (-2*5*2/(-24))/(17455/3491)?
1/6
What is (8/10)/(746/(-1865)*(-1)/2)?
4
Evaluate (-29)/(-580)*60*-9.
-27
What is the value of -12*((-3420)/40)/(-57)?
-18
What is the value of ((128/72)/(-4))/((-28)/(-210))?
-10/3
What is the value of (118/2950)/((-5)/(25/(-4)))?
1/20
Evaluate (40/18)/((-944)/12744).
-30
Evaluate 3/(-20)*(-9080)/3178.
3/7
What is ((-143)/11)/520*4?
-1/10
What is the value of ((6/(-40))/((-2)/48))/(1592/3980)?
9
What is the value of 102/(-4)*2034/(-5763)?
9
What is (21/(-36)*-1)/((-28)/(-6))?
1/8
Calculate 1*((-2)/10)/(378/135).
-1/14
Evaluate (-22)/(-33)*280/112.
5/3
Evaluate ((-6)/(-11))/((-23240)/(-12782)).
3/10
What is the value of 1230/19475*5/(-15)?
-2/95
What is the value of (4/2*(-17)/34)/(104/24)?
-3/13
(2/(-9)*-30)/(2/(-9))
-30
What is the value of (((-20)/(-150))/(14/(-21)))/(57/15)?
-1/19
Calculate 1/6*-1*9138/28937.
-1/19
(-12*7/63)/(-2*(-1)/21)
-14
Evaluate (-42)/(-231)*(-770)/(-2870).
2/41
((-27)/(-63))/(234/(-273))
-1/2
What is the value of (-1)/((12/104)/(12/(-8)))?
13
Calculate -35*13/(-65)*(-42)/3969.
-2/27
What is (-67)/((-134)/(-48))*(12/(-16))/1?
18
What is -42*(-7)/(-1596)*(-3)/(21/4)?
2/19
396/11*5/(-60)*4
-12
Evaluate 18*((161/(-35))/23)/(9/(-20)).
8
What is 23/(368/16)*-13?
-13
(360/420)/(2*(-60)/112)
-4/5
Calculate 3/(((-810)/(-240))/((-6)/4)).
-4/3
Calculate 72/(-15)*(-10)/68*2/6.
4/17
((2970/(-9))/15)/(1*(-6)/6)
22
Calculate 5/1*4/4*1512/(-420).
-18
What is the value of ((-3)/(-9)*-4)/((-1173)/391)?
4/9
((-45)/99)/((66/132)/((-2)/20))
1/11
What is the value of (13/39)/(5/(-66))*-5?
22
Evaluate (-6)/(-168)*20*((-16)/(-10))/(-4).
-2/7
Evaluate (((-253)/11)/(-92))/(14/16).
2/7
What is the value of 2580/(-258)*14/(-20)?
7
What is the value of (((-96)/(-168))/((-2)/14))/(1/2)?
-8
8/(-40)*25/3*(-18)/75
2/5
Evaluate ((3480/48)/(-29))/((-705)/12).
2/47
((-294)/(-105))/((-5)/(-50))
28
What is the value of (10/(-95))/(242/(-66671))?
29
Evaluate (23/69)/(((-16)/6)/(-2)).
1/4
((-1782)/66)/(-81)*-4*(-2)/(-6)
-4/9
Calculate (4/64*3)/((-51)/34).
-1/8
Calculate ((-10)/(-11))/(-13*(-3)/429).
10
What is (37037/(-407))/((-7)/6)*2/12?
13
(7*(-6)/(-84))/(-2*4/32)
-2
Evaluate 2/(-6)*(-30)/85.
2/17
Evaluate (2/(-46))/(58/(-1334)).
1
Evaluate (256/(-448))/((-4)/(-28))*(-4)/2.
8
What is (-5)/330*(-270)/(-15)?
-3/11
1/(33/(-18))*(-199)/(-597)
-2/11
What is the value of ((392/(-385))/14)/(4/10*1)?
-2/11
Evaluate 2322/301*(-35)/15.
-18
Calculate (-10)/(-8)*2*(-16)/40*6.
-6
What is (34/(-102))/((-2)/7)*-2?
-7/3
Evaluate (-14)/(112/180)*(-10)/(-15).
-15
6/(-12)*7*17/(136/(-32))
14
What is (12/9)/(46/345)?
10
What is the value of ((-344)/(-3010))/(((-64)/60)/(-4))?
3/7
Calculate ((-2603)/(-2192))/((-2)/32).
-19
((-7)/84)/(21/546)
-13/6
What is 3/(-6)*50/(15/3)?
-5
(-10)/116*(308/35)/11
-2/29
What is the value of ((-75)/(-5375)*43)/(2/40)?
12
(1*5/(-60))/((-71)/(-142))
-1/6
Evaluate (12/(-72))/(21/(-14))*171.
19
Evaluate (54/63)/(27/((-1701)/180)).
-3/10
What is ((-6)/(-24))/(465/75)*14/35?
1/62
What is (-31*(-8)/124)/(1/(-8))?
-16
What is (-15)/(-24)*133/(-665)?
-1/8
Evaluate 999/111*(-2)/6.
-3
Evaluate (-6)/(-5)*(-125)/2325.
-2/31
Calculate ((-1607)/12856)/((-3)/4).
1/6
What is the value of (2/(-17))/(4992/(-5304))?
1/8
What is (-44)/(-110)*2/(-16)?
-1/20
Calculate 1092/819*(-5)/(60/(-63)).
7
What is (98/2205)/((-6)/9*-1)?
1/15
Evaluate ((-8)/(-12))/((-145)/7395).
-34
Calculate -26*(2475/(-44))/(-25)*4/36.
-13/2
Evaluate 40/(-62920)*13*-33.
3/11
What is ((18468/(-567))/(-76))/(2/(-8))?
-12/7
Calculate (((-560)/(-42))/20)/((20/54)/(-5)).
-9
What is (-2560)/(-4480)*(-14)/30?
-4/15
What is the value of (270/(-150)*2/(-60))/((-3)/(-6))?
3/25
What is the value of 6/45*-6*(-18)/96?
3/20
Calculate -13*(-17)/663*-4.
-4/3
(-12)/(-9)*(24/272)/(-1)
-2/17
What is the value of ((-51)/(-17))/(12/(-32)*1)?
-8
Evaluate ((-16)/(-5))/(((-282)/4230)/((-1)/6)).
8
Evaluate (41/((-1476)/192))/(-4).
4/3
Calculate ((-75)/(-2))/(-5)*808/505.
-12
Evaluate -4*(-12)/(-126)*57/(-152).
1/7
Evaluate 40/(-10)*(3250/(-40))/(-13)*-1.
25
Calculate ((-142)/(-2059))/(2/2).
2/29
2/(-4)*-8*147/(-84)
-7
Calculate (21420/80)/(-51)*4.
-21
What is (-6)/(-9)*-15*5*(-63)/(-105)?
-30
What is 17/(68/16)*8/((-96)/30)?
-10
What is the value of (-43)/(-86)*(-2)/11?
-1/11
What is the value of ((-1)/2)/(((-4)/7)/((-88)/308))?
-1/4
(13/((-910)/56))/((-2)/(-5))
-2
(360/16)/(-45)*4/1
-2
What is the value of 800/(-4080)*(-9)/30?
1/17
Calculate -27*5/(-45)*(50/3)/2.
25
Calculate -18*(-2)/135*(-5)/22.
-2/33
Calculate 1*(-25)/40*-8*7.
35
Calculate (7/20)/(((-4)/96)/(15/45)).
-14/5
What is the value of (1379/(-1182))/(8/32)?
-14/3
What is the value of ((-9)/(-22))/(6/66*6)?
3/4
Evaluate ((-15)/(-35)*6)/((516/(-56))/43).
-12
(-1)/((15/20)/(168/32))
-7
Calculate ((-60)/80)/(42/12)*96/(-9).
16/7
What is the value of ((-54)/10)/((-24)/40)*(-6)/(-9)?
6
What is the value of -8*(-2)/8*-1*1/(-17)?
2/17
(2/12)/(4720/480)
1/59
Evaluate (((-38)/(-1520))/(1/(-4)))/(2/25).
-5/4
Calculate 1045/(-2470)*2/(11*2/(-4)).
2/13
Evaluate 1/(-3)*(-126)/1218*(-2)/1.
-2/29
Evaluate (9/10)/(-3)*9*216/(-1458).
2/5
Evaluate 9/(-15)*(-45)/1.
27
142/(-3834)*1*-9*9/12
1/4
What is the value of ((-4)/24*(-8)/((-16)/3))/1?
-1/4
What is the value of (1*(-6)/2)/(-8)?
3/8
Calculate ((-2400)/(-18))/20*-3*(- | {
"pile_set_name": "DM Mathematics"
} |
sqrt(200))*5*3).
-14*sqrt(17)/25
Simplify (sqrt(76) + (sqrt(76)*-3 - sqrt(76))*-3 + sqrt(76) - 6*sqrt(76)*-3 - (3*sqrt(76) + -3 + (4*sqrt(76) + 2 - sqrt(76))))**2.
104*sqrt(19) + 51377
Simplify -2*(((sqrt(2662)*1)/(-4*sqrt(8)))**2 + (sqrt(891) + 4*(-1 + sqrt(891) + sqrt(891)))**2 + (sqrt(891) - (-2*sqrt(891) - sqrt(891)))*1).
-4621299/32 + 1224*sqrt(11)
Simplify (-3*-1*4*(sqrt(112) + sqrt(112) + 1 + -2 - (5 + sqrt(112) + 3)))**2.
-10368*sqrt(7) + 27792
Simplify (-4 + (sqrt(567) + -1)*-5 - (5 + sqrt(28) + (sqrt(168)/sqrt(3))/sqrt(8))*5)**2.
2880*sqrt(7) + 25776
Simplify (-2*-5*sqrt(104)*-3*3)/(((sqrt(64) + 2*sqrt(64) - sqrt(64))*-4)/((-2*sqrt(64) - sqrt(64))/sqrt(8))).
-135*sqrt(13)/4
Simplify (6*(2*sqrt(2176)*-3 + sqrt(2176))*5)/((sqrt(2) - (sqrt(288) - sqrt(288)*-1)) + sqrt(6)/sqrt(3)*1 - (sqrt(32)*2*4 + sqrt(32))).
600*sqrt(17)/29
Simplify (6*(0 + 2*sqrt(2448) + sqrt(2448) + sqrt(2448) + -3 + (sqrt(2448) - (sqrt(2448) + 1)) + 3 + (sqrt(2448) + -1)*-5 + sqrt(2448))*5)**2.
14400
Simplify -6*(sqrt(7488) + (sqrt(7488) - (1*sqrt(7488) + sqrt(7488))) + sqrt(52) + sqrt(52) - (sqrt(4212)*2 - sqrt(52)))/(4*sqrt(144)*2)*-2.
-15*sqrt(13)/4
Simplify ((sqrt(77) - (sqrt(77) + (-1*sqrt(77) - sqrt(77))))*-6 + 3*sqrt(77)*-5)/((sqrt(210)/(5*sqrt(10)))/sqrt(3)).
-135*sqrt(11)
Simplify 1*(-6*-4*(2 + 3 + 4*(0 + sqrt(2700) + -3)))**2.
-967680*sqrt(3) + 24911424
Simplify (2*(sqrt(605) + sqrt(605)*2 + -2 + (1 + (sqrt(605) - 1*sqrt(605)) - sqrt(605))))**2 + (0 + (sqrt(500) + 2 + -2)*-3)**2.
-176*sqrt(5) + 14184
Simplify ((-4*((sqrt(125) - (sqrt(125) + sqrt(125)*-1)) + -2 - sqrt(125) - (4 + 0 + sqrt(125))) + -2)*-1 + 2)*-1.
20 + 20*sqrt(5)
Simplify ((-4 + (5 + 4*sqrt(500) + sqrt(500) - (5 + 0 + sqrt(500))))*-4 + 3)**2.
-6080*sqrt(5) + 128361
Simplify 5 + (2 + 3 + (sqrt(1573) - ((1 + sqrt(1573))*4 + sqrt(1573))) + -5)**2 + -1.
352*sqrt(13) + 25188
Simplify -3 + (-1*sqrt(51)*3)/(sqrt(3) + sqrt(48) + sqrt(96)/sqrt(2)) - ((sqrt(17) - (sqrt(17)*2 + 5) - ((-1*sqrt(2057))**2 - sqrt(17))) + -3).
-sqrt(17)/3 + 2062
Simplify (sqrt(2448) - (-4 + sqrt(2448))**2) + 5 + -1 - (sqrt(1836)*1)/(sqrt(3) - -1*(-1*sqrt(3) + sqrt(3))).
-2460 + 102*sqrt(17)
Simplify ((0 + sqrt(28) + (sqrt(28) - (2 + sqrt(28))) + sqrt(28))*6 - (-1 + sqrt(28)/sqrt(4) + 5)*3)**2.
-1008*sqrt(7) + 3663
Simplify ((1*sqrt(77) + sqrt(77))*5*-2*5)/(sqrt(49)/(3*sqrt(7)) - (sqrt(21)*2)/sqrt(3)) + 1.
1 + 60*sqrt(11)
Simplify (sqrt(152) + (6*-1*sqrt(152) - sqrt(152)))/sqrt(8)*-5 + -2*sqrt(57)/sqrt(3) + sqrt(133)/sqrt(28).
57*sqrt(19)/2
Simplify 4 + ((sqrt(33)/(-2*sqrt(3)) - sqrt(11)) + 1*sqrt(275))**2 + ((sqrt(2112)*-2 + sqrt(2112))/((sqrt(36)*-2)/sqrt(12)))**2.
1259/4
Simplify 2 + sqrt(77)/(-6*(sqrt(11)*1 + sqrt(11)) - sqrt(11)) + -5 + 5 + sqrt(77)/sqrt(11).
2 + 12*sqrt(7)/13
Simplify (sqrt(153) + 3*sqrt(153)*-2)/(sqrt(9) + (sqrt(81) - (sqrt(81) + sqrt(81)*-2 + sqrt(81)))) - (sqrt(170)*1*-4)/(sqrt(10) - sqrt(40)*5).
-61*sqrt(17)/36
Simplify (sqrt(28) + -2 - -3*sqrt(175) - 4*(sqrt(448) + 1 + 3)**2)*-5.
1195*sqrt(7) + 9290
Simplify (((-1*sqrt(132)*-1 - sqrt(132)) + sqrt(132))*-2*-6)/(4*(sqrt(300) - sqrt(12)) + (sqrt(12) - sqrt(588)*3)).
-3*sqrt(11)
Simplify -3*((3*sqrt(16)/sqrt(32))/(3*1*sqrt(256) + sqrt(256)) + 5).
-15 - 9*sqrt(2)/128
Simplify (((sqrt(18) - (sqrt(2178) - sqrt(18)))*1 - sqrt(18)) + sqrt(450)*3)/((-1*-1*sqrt(108) + sqrt(108) + sqrt(108))/(2*sqrt(12)*-6 + sqrt(12))).
-55*sqrt(2)/3
Simplify 2 + -4 + -3*(sqrt(180) + -5*1*sqrt(180))**2*5 + 4.
-43198
Simplify ((1*sqrt(238)*-6)/sqrt(7)*-3)/((-1*sqrt(512) + sqrt(512) - sqrt(512))/(sqrt(12)/sqrt(27) + sqrt(4))).
-3*sqrt(17)
Simplify 2*((4*5*(sqrt(684)*-2)**2 + -3)*2 + -2).
218864
Simplify 3*(sqrt(13) + sqrt(52)/sqrt(4) + -2 + (sqrt(13) + 0)*-4 + sqrt(13) - (-6*(sqrt(117) - (sqrt(117)*-1 - sqrt(117))))/sqrt(9)) + 1.
-5 + 51*sqrt(13)
Simplify ((((sqrt(143) - sqrt(143)*1)*4 + sqrt(143)*-1*4)*-3)/((sqrt(1584) - 2*sqrt(1584) - sqrt(1584)) + -2*(sqrt(11) + sqrt(77)/sqrt(7))))**2.
117/49
Simplify (-1*(2 + sqrt(832))*2*5 - (((sqrt(832) - -2*sqrt(832)) + sqrt(832))*4 + sqrt(832) + -1 + 1)*-5)**2*3.
-72000*sqrt(13) + 14041200
Simplify (sqrt(99)*3*2 + sqrt(99) + -5*(sqrt(99) - -4*sqrt(99)))/(-2*(sqrt(36)/(sqrt(4) + sqrt(12)/sqrt(3)) + sqrt(9) + (sqrt(45)*1)/sqrt(5))).
18*sqrt(11)/5
Simplify (6*sqrt(88)*-4 - (sqrt(88) - (sqrt(88) + -4*sqrt(88)*6)))/((6*(sqrt(32) + sqrt(8)) - ((sqrt(72) - 2*sqrt(72)) + sqrt(72) + sqrt(72)))*5).
-16*sqrt(11)/25
Simplify (-1*sqrt(117) + sqrt(117) + 5 - (sqrt(117) + 3*(-3 + sqrt(117)) + sqrt(117) + sqrt(117))**2) + -2 + ((1*(sqrt(234) + sqrt(26)))/sqrt(2)*-1)**2.
-4082 + 324*sqrt(13)
Simplify (-4*(sqrt(99) - sqrt(99)*-4) + -1*sqrt(99)*-3)/(4*sqrt(324)*3).
-17*sqrt(11)/72
Simplify 4 + (((sqrt(240) - 2*sqrt(240))*4)/sqrt(4))/((sqrt(12) - sqrt(96)/sqrt(512))*3).
-32*sqrt(5)/21 + 4
Simplify (sqrt(24)/sqrt(2)*-1)/sqrt(6)*3 + ((sqrt(10)/sqrt(5))**2 + 4 - -3*sqrt(72)).
6 + 15*sqrt(2)
Simplify 2*(-1 + 1 + 2 + -4*(3 + sqrt(108)) + -3)*5.
-240*sqrt(3) - 130
Simplify (sqrt(144)/(3*4*sqrt(8)))/(sqrt(6) - (sqrt(486) - 2*sqrt(486)) - (sqrt(864) - sqrt(864)*1)).
sqrt(3)/120
Simplify (-1*(sqrt(847) + -1 + sqrt(847)) + -2)**2 - (-2 + sqrt(77)/(-3*sqrt(11)*2)).
265*sqrt(7)/6 + 3391
Simplify (1 + sqrt(448) + 1 + 0 + sqrt(448)*-4 + -5)**2 + 3 + -2.
144*sqrt(7) + 4042
Simplify 5*(sqrt(245) + -1 + 2)**2*-6 - (-1*-2*sqrt(245) + -5)**2*-1.
-6375 - 560*sqrt(5)
Simplify 5 + sqrt(125)*5 + sqrt(20)*2 + sqrt(20) - (((sqrt(180) - -1*sqrt(180)) + 4 - (sqrt(180) + 0 + -2*sqrt(180)))**2 + 3).
-1634 - 113*sqrt(5)
Simplify -4 + ((sqrt(110) - (-6*-1*sqrt(110) + sqrt(110))) + 2*sqrt(110)*6)/(-5*sqrt(50)/sqrt(5) - sqrt(90)/(sqrt(9)*-2)) + 2.
-4*sqrt(11)/3 - 2
Simplify (-6*-4*(-6*((-2 + (sqrt(68) - (0 + sqrt(68))) - sqrt(68)) + sqrt(68)) + -2)*3)**2.
518400
Simplify (-4*(((sqrt(140) - -1*sqrt(140))/sqrt(5))/(3*sqrt(63)))/(-1*3*sqrt(2) + sqrt(504)/sqrt(7)))**2.
128/729
Simplify -3 + 4 + sqrt(176) + 0 - ((-4*(sqrt(1331) - (sqrt(1331) + -2)))**2 + (2 + sqrt(1331) + 2)**2).
-1410 - 84*sqrt(11)
Simplify (3*(1 + 1 + 1 + (sqrt(539) - (-2*sqrt(539) + -3) - sqrt(539)) + sqrt(539) + -5 + -2))**2.
-378*sqrt(11) + 43668
Simplify 2 + -5*(1 + (6*(sqrt(1300)*4 + sqrt(1300)) - (-4 + sqrt(1300) + 1))**2).
-5466548 - 8700*sqrt(13)
Simplify -6*(2 + -5*(sqrt(200)*1*4 + sqrt(200)*-1*1 + 4)**2)*-6.
-326808 - 43200*sqrt(2)
Simplify -4*((sqrt(931)*-2 + sqrt(931) + sqrt(931))*-6*-6 - (1*sqrt(19)*3 + sqrt(114)/(sqrt(6) - (sqrt(6) + sqrt(6)*-3))))**2.
-7600/9
Simplify (-6*-2*sqrt(700)*-6 + ((sqrt(700) - -2*sqrt(700))*4)**2*3)*-4*-5.
-14400*sqrt(7) + 6048000
Simplify (-3 + 3*sqrt(1620))**2 + (((sqrt(1250) + sqrt(50))*-3)/sqrt(10)*-2)**2.
-324*sqrt(5) + 21069
Simplify 3 + -6*-2*(sqrt(19) + sqrt(475) + 2 + sqrt(114)/(sqrt(6)*1 + sqrt(6)) - -5*(-3 + sqrt(19) + sqrt(684))).
-153 + 498*sqrt(19)
Simplify ((4 + (sqrt(500) - 1*sqrt(500) - sqrt(500)) - (-2*sqrt(500) + 3)) + 2)**2 + -2*(sqrt(245)*-2)**2 + -4 + -4.
-1459 + 60*sqrt(5)
Simplify (((sqrt(102)/sqrt(6) - sqrt(17)) + -5 - sqrt(17) - 6*sqrt(17)*1) + 4 + (sqrt(153) + 1)*5 + sqrt(153) + -4 + sqrt(153)*-3)**2.
68
Simplify 4*(0 + sqrt(405) + 1)**2 - -6*((sqrt(5) + -1)*-4 + -2).
48*sqrt(5) + 1636
Simplify (sqrt(896)*3 - sqrt(56) - sqrt(56))/(sqrt(48)/(sqrt(6)*-1 - sqrt(6))) - 2*(-6*(3 + sqrt(847)) + sqrt(847)).
36 + 90*sqrt(7)
Simplify 1*(-2 + (sqrt(110) - (sqrt(110) + 4*1*sqrt(110)))/(sqrt(90)*4 - sqrt(10)))*6.
-12 - 24*sqrt(11)/11
Simplify -1*-5*sqrt(2057)*1 + -2 - (-4 + 5 + sqrt(833) + sqrt(833)*1 + 0)**2.
-3335 + 27*sqrt(17)
Simplify 1*(-2 + (0 + ((sqrt(1216) + 1 + sqrt(1216))*4 + (0 + 1*sqrt(1216) - sqrt(1216)))*-3)**2).
4608*sqrt(19) + 700558
Simplify (sqrt(228)/((sqrt(24)/sqrt(2) + sqrt(12))*2) + ((sqrt(171) - 1*sqrt(171)) + sqrt(19))*-5 + -5 + -1 + sqrt(1539) + -1 + -5)**2.
-102*sqrt(19) + 7795/16
Simplify (((sqrt(363)*-1 - sqrt(363))/sqrt(11) - sqrt(33)) + (sqrt(825) + sqrt(33) + sqrt(33))*-1)/(sqrt(176) + 1*sqrt(176) - sqrt(176) - -2*sqrt(99)).
-sqrt(3)
Simplify 2 + (sqrt(44)/sqrt(16) + (sqrt(396)*1)**2 + -5 - 1*((sqrt(176) + sqrt(11))*-2 - 6*(2*sqrt(11) - sqrt(11)))).
33*sqrt(11)/2 + 393
Simplify (-6*(sqrt(2448) - (-3 + sqrt(2448) + -2))*1 + (sqrt(2448) - (sqrt(2448) + 2*sqrt(2448) + sqrt(2448))) + 3 + (4 + sqrt(2448))*5)**2.
-336*sqrt(17) + 9841
Simp | {
"pile_set_name": "DM Mathematics"
} |
= 0 for i.
-1
Solve 2*k + 30 = 8*k for k.
5
Solve 24*y = 8 - 32 for y.
-1
Solve -45*m = 152 + 118 for m.
-6
Solve 49*p - 62*p = 117 for p.
-9
Solve -12 = -5*f - 27 for f.
-3
Solve 0 = 13*q - 26 - 13 for q.
3
Solve 63*v + 45 = 78*v for v.
3
Solve -74 = 9*c - 29 for c.
-5
Solve 7*c + 24 = -11 for c.
-5
Solve 62*r - 48*r = 56 for r.
4
Solve 0 = -3*j + 436 - 442 for j.
-2
Solve 675*v + 16 = 671*v for v.
-4
Solve 11 = 4*s + 7 for s.
1
Solve 0 = -9*u + 17*u + 32 for u.
-4
Solve 71*t = -63 + 276 for t.
3
Solve 11 = -6*v + 11 for v.
0
Solve -27 = -514*o + 541*o for o.
-1
Solve 177*a = 172*a - 10 for a.
-2
Solve 0 = -2*c + 3 - 1 for c.
1
Solve 43*i - 42*i + 4 = 0 for i.
-4
Solve -17*b = 1 - 154 for b.
9
Solve 1 = 7*a + 8 for a.
-1
Solve -47 - 49 = -24*a for a.
4
Solve 333*d = 316*d + 136 for d.
8
Solve 92 - 67 = -5*a for a.
-5
Solve 0 = 34*r - 18*r - 32 for r.
2
Solve -6*v - 63 + 15 = 0 for v.
-8
Solve 7155*b - 7146*b - 36 = 0 for b.
4
Solve -706 + 762 = -8*l for l.
-7
Solve -6*k + 83 = 71 for k.
2
Solve 0 = 41*b - 349 + 62 for b.
7
Solve -3 = -g - 0 for g.
3
Solve 6*n = 12 - 0 for n.
2
Solve -4 = -25*u + 29*u for u.
-1
Solve 1315 = -7*x + 1378 for x.
9
Solve -7 = -6*j - 1 for j.
1
Solve -6*x = -1 + 7 for x.
-1
Solve 8*f - 3 = -11 for f.
-1
Solve -5*i - 27 = -7 for i.
-4
Solve 5*d - 4 - 16 = 0 for d.
4
Solve -3*a = 722 - 752 for a.
10
Solve -7*w - 176 = -232 for w.
8
Solve 15 - 11 = 4*s for s.
1
Solve 18*i + 5 = 17*i for i.
-5
Solve 0 = 19*m - 21*m - 8 for m.
-4
Solve -13*w + 11 + 41 = 0 for w.
4
Solve 0 = 44*b - 49*b - 40 for b.
-8
Solve 9*d = -16 + 43 for d.
3
Solve -7 + 23 = 4*a for a.
4
Solve 2*f - 65 + 57 = 0 for f.
4
Solve 0 = 9*a + 22 + 68 for a.
-10
Solve 0 = -16*r + 9*r - 7 for r.
-1
Solve -d + 2*d - 1 = 0 for d.
1
Solve 4*b = 20 - 0 for b.
5
Solve -10*s + 17*s = -21 for s.
-3
Solve -71*u + 46 = -25 for u.
1
Solve -9*n + 80 = 17 for n.
7
Solve 13*r - 4 = 15*r for r.
-2
Solve -10*b + b = 0 for b.
0
Solve 16 = 7*q - 5 for q.
3
Solve 425*z - 416*z = -81 for z.
-9
Solve -9*u - 374 + 455 = 0 for u.
9
Solve 17*r - 6 = 14*r for r.
2
Solve 4*y + 56 = 80 for y.
6
Solve -22 = -5*n - 22 for n.
0
Solve -9*z - 15*z = 120 for z.
-5
Solve -8 = -9*r + 10 for r.
2
Solve 2*i + i = -15 for i.
-5
Solve 0 = 209*y - 214*y + 10 for y.
2
Solve -277*c + 349*c + 432 = 0 for c.
-6
Solve 68*l + 94 = 26 for l.
-1
Solve 0 = g + 37 - 34 for g.
-3
Solve -111 = -g - 113 for g.
-2
Solve -34*a - 52 = -8*a for a.
-2
Solve 447*u = 454*u + 7 for u.
-1
Solve 0 = -50*l + 51*l - 2 for l.
2
Solve 441*y - 433*y = 40 for y.
5
Solve -335 = 40*d - 15 for d.
-8
Solve -7*c = 164 - 115 for c.
-7
Solve -33*x - 76 = -10 for x.
-2
Solve -1550 = -13*t - 1472 for t.
6
Solve 15*s = -10 - 5 for s.
-1
Solve -8*t + t = -14 for t.
2
Solve 0 = n + 5 for n.
-5
Solve 52*u - 219 = -21*u for u.
3
Solve -9*h - 14 = -50 for h.
4
Solve 3*a + 20 = -a for a.
-5
Solve 0 = 4*q - 57 + 49 for q.
2
Solve -25*t + 21*t = -20 for t.
5
Solve -47 + 49 = -a for a.
-2
Solve 0 = -22*p + 22 + 44 for p.
3
Solve 0 = -10*m + 21*m - 33 for m.
3
Solve 36 = -a - 8*a for a.
-4
Solve -85*h = -30*h - 220 for h.
4
Solve 9 = -6*p + 33 for p.
4
Solve -6*h = h - 7 for h.
1
Solve 69*p - 67*p - 4 = 0 for p.
2
Solve 0 = -7*n - 124 + 145 for n.
3
Solve 6*n + 9 = -3*n for n.
-1
Solve 0 = -26*k - 52 for k.
-2
Solve 420 = -12*m - 128*m for m.
-3
Solve r + 3 + 1 = 0 for r.
-4
Solve -21*f - 16 = -17*f for f.
-4
Solve 28 = 106*x - 102*x for x.
7
Solve 495*m - 499*m = -12 for m.
3
Solve 0*o = 3*o - 6 for o.
2
Solve 0 = -17*t + 14*t - 12 for t.
-4
Solve 5*y - 9 = -4 for y.
1
Solve 19*g = 4*g + 60 for g.
4
Solve -39 = 7*q - 18 for q.
-3
Solve -2*q + 122 = 130 for q.
-4
Solve 0 = u - 2*u - 4 for u.
-4
Solve 0 = -a + 80 - 82 for a.
-2
Solve 0*y = -y + 5 for y.
5
Solve -143*x + 65 = -130*x for x.
5
Solve 15*g - 114 + 24 = 0 for g.
6
Solve 54 = -5*g + 29 for g.
-5
Solve -14*w - 341 = -411 for w.
5
Solve -x = 20 - 19 for x.
-1
Solve -13*m = -32 - 7 for m.
3
Solve -82*w = -23*w - 118 for w.
2
Solve 9*z + 2 = 8*z for z.
-2
Solve -64 - 36 = -20*s for s.
5
Solve -16*r - 60 = -172 for r.
7
Solve 2*r + 6 = -0*r for r.
-3
Solve 6 = 164*v - 166*v for v.
-3
Solve -4 = 16*q - 15*q for q.
-4
Solve 177 = -d + 175 for d.
-2
Solve -17*i = -25*i for i.
0
Solve -26*k = -33*k + 14 for k.
2
Solve -175*q = -150*q + 225 for q.
-9
Solve 708*k = 707*k + 7 for k.
7
Solve -81 = -3*f - 69 for f.
4
Solve -w = -4*w + 15 for w.
5
Solve 3*q - 14 = -11 for q.
1
Solve 4*c - 4 = 2*c for c.
2
Solve -12*o - 39*o + 16*o = 0 for o.
0
Solve 0 = 35*m + 194 + 51 for m.
-7
Solve -25 = 4*t + t for t.
-5
Solve 7*i + 6 = 9*i for i.
3
Solve 0 = -84*p + 56*p + 168 for p.
6
Solve -2*z + 3*z = -0*z for z.
0
Solve 0 = 18*u - 16*u - 10 for u.
5
Solve -15*n + 188 = 32*n for n.
4
Solve 8*w = 12*w for w.
0
Solve 41*i = 57*i + 32 for i.
-2
Solve 578*o + 25 = 573*o for o.
-5
Solve 4*g - 13 + 9 = 0 for g.
1
Solve -11*s + 15*s = 16 for s.
4
Solve 238 = -35*q + 308 for q.
2
Solve -13*r + 10 = 62 for r.
-4
Solve 4*o + 28 = -3*o for o.
-4
Solve 106 - 74 = 32*t for t.
1
Solve 397*q - 402*q = 15 for q.
-3
Solve 5*u + 19 = -6 for u.
-5
Solve -11*y = 12 - 56 for y.
4
Solve 2*v - 24 + 26 = 0 for v.
-1
Solve -2 = b + 2 for b.
-4
Solve 5*y - 113 = -88 for y.
5
Solve -160 = 16*j - 32 for j.
-8
Solve 0 = -21*f - 4*f + 75 for f.
3
Solve 12*k - 37 + 1 = 0 for k.
3
Solve 2*o + 29 = 35 for o.
3
Solve 21*l + 97 = -8 for l.
-5
Solve -38*b = -236 - 68 for b.
8
Solve -4*q - 30 = -18 for q.
-3
Solve -26*d - 83 = -5 for d.
-3
Solve 8*t + 17 - 57 = 0 for t.
5
Solve -54*w = -46*w + 32 for w.
-4
Solve 0 = j - 17 + 14 for j.
3
Solve 16*g + 107 - 11 = 0 for g.
-6
Solve -1186 = 8*d - 1178 for d.
-1
Solve 14 = 10*q + 4*q for q.
1
Solve 5*v + v = -18 for v.
-3
Solve 21*y - 38 - 4 = 0 for y.
2
Solve -1 = -15*k + 14 for k.
1
Solve -63 = 3*t - 66 for t.
1
Solve -26*q + 68 = -9*q for q.
4
Solve -6*x = 178 - 154 for x.
-4
Solve 4*f + 0*f - 12 = 0 for f.
3
Solve 0 = 19*y - 20*y + 2 for y.
2
Solve 13*k = -10*k for k.
0
Solve 30 = -12*o + 42 for o.
1
Solve -5*q - 8 = 2 for q.
-2
Solve -47 - 1 = -16*i for i.
3
Solve -104*c = -131*c + 27 for c.
1
Solve -6*f + 16 = 10 for f.
1
Solve 17 = 8*v - 23 for v.
5
Solve 19*p = -18 - 39 for p.
-3
Solve -508 + 100 = -51*b for b.
8
Solve 0 = -17*y - 14 - 3 for y.
-1
Solve 0 = 5*a - 12*a - 35 for a.
-5
Solve -579*w + 568*w - 55 = 0 for w.
-5
Solve 2*h + 47 = 51 for h.
2
Solve 0 = -5*u + 31 - 21 for u.
2
Solve -29*l + 104 + 12 = 0 for l.
4
Solve 8 = -4*j + 12*j for j.
1
Solve 4*s = -0*s - 16 for s.
-4
Solve 358 = 4*k + 378 for k.
-5
Solve -7*p - 19 + 5 = 0 for p.
-2
Solve 4 = 5*u + 14 for u.
-2
Solve 0 = 2*y - 3507 + 3505 for y.
1
Solve -34*h + 69 = 35*h for h.
1
Solve f = 4*f - 12 for f.
4
Solve -17*j - 383 = -298 for j.
-5
Solve -465 + 453 = -2*h for h.
6
Solve 0 = 183*h - 202*h - 38 for h.
-2
Solve 19*m - 24*m = 30 for m.
-6
Solve 18*h - 20 = 70 for h.
5
Solve 8*h - 18 = -h for h.
2
Solve -3*j = j - 2*j for j.
0
Solve 0 = 4*v + 11 - 3 for v.
-2
Solve -2*i - 34 = -30 for i.
-2
Solve z + 14*z = -60 for z.
-4
Solve 5*j - 8*j = 6 for j.
-2
Solve 4 = -12*w + 11*w for w.
-4
Solve -16*r + 290 = 242 for r.
3
Solve -4*l = -24*l - 60 for l.
-3
Solve -450*v - 187 = -467*v for v.
11
Solve -42*b = -13*b + 29 for b.
-1
Solve -8*v = -2*v - 18 for v.
3
Solve 0 = 132*v + 180 - 708 for v.
4
Solve 0 = -4*z + 2*z - 6 for z.
-3
Solve 0 = 54*h + 2*h + 336 for h.
-6
Solve 0 = 158*r - 165*r + 7 for r.
1
Solve -19 = -6*l - 1 for l.
3
Solve -158 = -3*f - 176 for f.
-6
Solve 0 = 47*j - 12 + 294 for j.
-6
Solve 188*x + 12 = 191*x for x.
4
Solve 0 = 21*v - 149 + 2 for v.
7
Solve 9*t - 19 = -64 for t.
-5
Solve -6*n = 110 - 98 for n.
-2
Solve 0 = -0*i - 8*i - i for i.
0
Solve -11*f - 32 = 23 for f.
-5
Solve 35*q - 40*q = 25 for q.
-5
Solve 34*y = 10*y - 48 for y.
-2
Solve 215*n = 208*n - 14 for n.
-2
Solve 30 = -q - 14*q for q.
-2
Solve 90 - 140 = 10*c for c.
-5
Solve 264 = -47*d - 65 for d.
-7
Solve 0 = -49*a + 45*a - 12 for a.
-3
Solve 4*f = -6*f for f.
0
Solve -6*t - 73 = -43 for t.
-5
Solve 0 = i - 56*i + 110 for i.
2
Solve -5*i = 19 + 6 for i.
-5
Solve -111*s + 480 = -31*s for s.
6
Solve 36 = -0*s + 6*s for s.
6
Solve -20*v + 68 = -3*v for v.
4
Solve 2 = 7*u - 9*u for u.
-1
Solve 13*x - 1072 = -1137 for x.
-5
Solve -18 = -3*z - 33 | {
"pile_set_name": "DM Mathematics"
} |
ve of -3635523*q**6 - 2*q**2 + 63650*q + 7?
-436262760*q**3
Differentiate -1889*t**3*w**2 - t**3 + 7*t**2*w**2 + 131*t + 109 wrt w.
-3778*t**3*w + 14*t**2*w
What is the first derivative of 140421*j - 372529 wrt j?
140421
Differentiate -f*n*r + 2*f*r + 29*f + 539*n**3*r - 5*n**2*r**2 - 7*r**2 + r + 75 with respect to n.
-f*r + 1617*n**2*r - 10*n*r**2
Differentiate 64713*o*t - 217824*o + 5*t with respect to t.
64713*o + 5
What is the derivative of z**2 + 2337*z - 22082 wrt z?
2*z + 2337
What is the third derivative of 2*f**2*h**3 + 6518*f**2 - 516*f*h**4 - 3*f*h**2 - 3*h**4 wrt h?
12*f**2 - 12384*f*h - 72*h
What is the second derivative of -4466157*y**2 - 26*y + 12507 wrt y?
-8932314
What is the third derivative of 3507302*u**3 - 1225*u**2 + 4*u + 13?
21043812
What is the second derivative of 39556*g**2 - 443*g?
79112
What is the third derivative of -46*c*h**3 + 4*c*h**2 - 225*c*h - c + 7*h**5 + 10*h**4 - 3*h**2 wrt h?
-276*c + 420*h**2 + 240*h
What is the second derivative of -24114*l**4 - 35179*l - 6?
-289368*l**2
What is the derivative of -16031*n**2 - 73947?
-32062*n
What is the derivative of 150149*m**4 + m**2 - 96341?
600596*m**3 + 2*m
Find the second derivative of -26540*d**5 - 22733*d wrt d.
-530800*d**3
Find the second derivative of -19785*i**2*n + 5*i + 1951*n wrt i.
-39570*n
What is the second derivative of 464212*d**5 + 12*d + 61166 wrt d?
9284240*d**3
What is the second derivative of 2*d**3*l**2 + 208*d**3*l - 2*d**2*l**2 - 6*d - 797*l**2 + 2 wrt d?
12*d*l**2 + 1248*d*l - 4*l**2
What is the third derivative of -176*a**5 + a**4 + 4*a**3 - 2*a**2 - 31308 wrt a?
-10560*a**2 + 24*a + 24
Differentiate 2*x**3 + 3*x**2 + 354270*x + 2914378 wrt x.
6*x**2 + 6*x + 354270
What is the second derivative of -19027*t**4*z + 47093*t*z wrt t?
-228324*t**2*z
What is the first derivative of -2*l**3 - 77*l*n - 217*l - 332237*n wrt l?
-6*l**2 - 77*n - 217
Differentiate -642272*j*v - 342711*j + 4 wrt v.
-642272*j
What is the second derivative of x**3 + 1687*x**2 + 6*x - 447 wrt x?
6*x + 3374
Find the second derivative of -g**3*u**2*v - 7*g**3*u**2 + 23634*g**3*v**2 + 4*g**3 + 7*g**2*u**2*v**2 + 8*u**2 - 41*u wrt v.
47268*g**3 + 14*g**2*u**2
Find the second derivative of -34*g**3*r*w**2 - 4416*g**3*w**2 + 2*g*r + g*w**2 + 21*r*w**2 - 4*r*w + 141*w wrt g.
-204*g*r*w**2 - 26496*g*w**2
What is the second derivative of 33*b**2*q**2 + 235*b**2 - 5*b*q**2 - b + 5*q**2 - 3*q + 2 wrt q?
66*b**2 - 10*b + 10
What is the second derivative of -58006*b**5 + b**4 - 14*b + 10143 wrt b?
-1160120*b**3 + 12*b**2
What is the first derivative of 578314*k**2 + 623243?
1156628*k
Find the second derivative of 82475*b**2*o**2 - 2*b**2*o - 133339*b**2 wrt o.
164950*b**2
Find the first derivative of -73852*p - 184983 wrt p.
-73852
What is the first derivative of -2*t**2*z - 54108*t*v + 3117*v*z + z wrt t?
-4*t*z - 54108*v
What is the first derivative of 51613*t**2 - 59861?
103226*t
What is the first derivative of -3229495*j + 519439 wrt j?
-3229495
Find the second derivative of -7*d*g**4 - 386*d*g**3 + 2*d*g**2 - 18654*d*g + 2*d wrt g.
-84*d*g**2 - 2316*d*g + 4*d
What is the second derivative of -270*j**4 - 34*j**3 + 2*j - 41162?
-3240*j**2 - 204*j
What is the second derivative of -17402*b**4 - b**3 + 174*b - 23?
-208824*b**2 - 6*b
Find the third derivative of 35070*x**6 - 49*x**2 + 3*x.
4208400*x**3
Differentiate 12*c*u**2 + 910*c*u + 2*c + 41489*u**2 - u + 1 wrt c.
12*u**2 + 910*u + 2
What is the second derivative of 3711*d**3 - 5*d**2 + 92*d - 84 wrt d?
22266*d - 10
Find the third derivative of -414753*m**4 + 43311*m**2 + 48.
-9954072*m
What is the third derivative of 2812364*r**3 - 3003429*r**2?
16874184
Find the third derivative of 1262336*s**3*u - 33*s**2*u + 9*s**2 + 105*u wrt s.
7574016*u
Find the first derivative of 1773*d*m*y + d*y + 2*d + 11049*m*y - 2*m - 3*y wrt d.
1773*m*y + y + 2
Find the third derivative of 58949*l**5 + 4*l**2 + 5834*l + 4.
3536940*l**2
What is the second derivative of 795419*v**4 + v**3 - 4013*v - 100?
9545028*v**2 + 6*v
What is the second derivative of -1150*r**4 + 18*r**3 - 6*r**2 - 1911742*r - 1?
-13800*r**2 + 108*r - 12
What is the second derivative of -55*j*o**2 + j - 1779*o**4 + 3026*o wrt o?
-110*j - 21348*o**2
What is the derivative of 711106*s**4 + 513341?
2844424*s**3
What is the second derivative of -19*d**3 - 793*d**2 + 91233*d?
-114*d - 1586
What is the third derivative of 41*s**4 + 354*s**3 - 64*s**2 - 9*s + 25 wrt s?
984*s + 2124
What is the first derivative of 126*y**2 - 7*y - 172212 wrt y?
252*y - 7
Find the second derivative of 9*y**4 - 118*y**2 - 455*y - 123.
108*y**2 - 236
Find the second derivative of 2624781*v**3 + 3174711*v wrt v.
15748686*v
Find the third derivative of 377451*o**4 - 1000*o**2 - 31.
9058824*o
Find the third derivative of -92*c**5*h - 1102*c**3*h - c**2*h + c**2 + 3*c + 6749*h wrt c.
-5520*c**2*h - 6612*h
What is the third derivative of 16934*q**4 + 21*q**3 + 350*q**2 - 29?
406416*q + 126
Find the third derivative of -11*d**3*n*y**3 - 1974*d**3*n - 4*d**3*y**3 + 12580*d**2*n*y**3 - d**2*y**3 + d*n*y - 3*n*y**3 - y**2 wrt d.
-66*n*y**3 - 11844*n - 24*y**3
Differentiate -4579659*s*t - 2092*s - 67 wrt t.
-4579659*s
What is the derivative of 8291*n**3*q*t**3 + 3*n**2*q*t**3 - q*t**2 + 139*t**3 - 2*t**2 wrt n?
24873*n**2*q*t**3 + 6*n*q*t**3
What is the third derivative of -795277*w**3 - 276*w**2 + 1502*w?
-4771662
Find the second derivative of -1893735*s**2 - 16*s + 23313 wrt s.
-3787470
Find the second derivative of 1505976*h**2*q - 13594*h*q - 9*h - 3 wrt h.
3011952*q
Find the second derivative of 2*d**3*l**2 - 2*d**2*l**2 - 861*d**2*l - 657*d + 3*l**2 - 1 wrt d.
12*d*l**2 - 4*l**2 - 1722*l
What is the derivative of -190*i*m**4 - 112*i - 293*m**4 + 334 wrt m?
-760*i*m**3 - 1172*m**3
What is the second derivative of 747*i**5*w - 10*i**5 - 3*i*w - 2*i + 2*w - 413 wrt i?
14940*i**3*w - 200*i**3
Find the third derivative of 232824*t**3 - 228500*t**2 wrt t.
1396944
What is the first derivative of -14813*b**4*l - 2*b**2*l - 20306*l wrt b?
-59252*b**3*l - 4*b*l
Find the third derivative of -5*a**3*s**5 + a**3*s + 4*a**2*s**2 + 14001*s**4 + 2545*s wrt s.
-300*a**3*s**2 + 336024*s
Find the third derivative of 935*c**2*x**4*y**2 - 6*c**2*x**2*y**2 - 2*c**2*x**2 + 177*c**2*x*y**2 - 233*c*x**4 + 9*x**2*y - x**2 + 2*y**2 wrt x.
22440*c**2*x*y**2 - 5592*c*x
What is the third derivative of 3*a**5 - 5839*a**4 + 7*a**3 + 94531*a**2 wrt a?
180*a**2 - 140136*a + 42
What is the derivative of 62*u**3 + 45*u**2 + u - 24616?
186*u**2 + 90*u + 1
What is the third derivative of -5*y**5 - 76*y**4 - 25*y**3 - 71370*y**2 wrt y?
-300*y**2 - 1824*y - 150
What is the second derivative of -153336*b**3 + 645941*b wrt b?
-920016*b
Differentiate 862912*s + 352506.
862912
Find the third derivative of -2*c*j**2*m**4 - c*j**2*m**2 - 4*c*j*m**3 + 22031*j**2*m**2 - 360*m**4 wrt m.
-48*c*j**2*m - 24*c*j - 8640*m
What is the first derivative of -45245*j*o - 4*j - o - 164494 wrt j?
-45245*o - 4
Find the second derivative of -5983*y*z**2 + 3*y*z - 8749*y + 7*z**2 wrt z.
-11966*y + 14
What is the third derivative of -14405*r**6 + 7*r**3 + 860*r**2 - 18?
-1728600*r**3 + 42
Find the first derivative of 151817*j**3 - 6*j**2*t**2 + 3675215*t**2 wrt j.
455451*j**2 - 12*j*t**2
What is the first derivative of 976368*n**2*z - n**2 + 581967*n - z wrt z?
976368*n**2 - 1
What is the third derivative of 1056*k**3*m**3 - k**3*m + 13*k**2*m**3 + 15*k*m - 27*m**2 wrt m?
6336*k**3 + 78*k**2
Find the third derivative of -637249*u**3 - 547941*u**2.
-3823494
What is the derivative of -3240479*q + 2935724?
-3240479
Find the third derivative of -38316*g**3*h**3*t - 4*g**3*h*t - g**3 - 2*g**2*h**2*t - 21*g**2*t + 3*g*h*t - h**3 - 81*h*t wrt g.
-229896*h**3*t - 24*h*t - 6
What is the second derivative of -32158*d**3*t**3 + 17*d*t**3 - 57*d*t wrt d?
-192948*d*t**3
Find the second derivative of 604610*g**2 - 4*g - 141700 wrt g.
1209220
What is the second derivative of -7496*a**2 - 31143*a?
-14992
Find the third derivative of 36850*m*z**5 + 8*m*z**2 - 10*z**5 + 93523*z**2 wrt z.
2211000*m*z**2 - 600*z**2
Find the first derivative of -20*b**2*x**3 - 1606070*b**2 + 36849*x**4 wrt x.
-60*b**2*x**2 + 147396*x**3
Find the second derivative of 2037193*x**5 - 806849*x - 2.
40743860*x | {
"pile_set_name": "DM Mathematics"
} |
(b) -21 (c) 86
a
Which is the closest to 0.099? (a) 24 (b) 0.4 (c) -1/8 (d) 0
d
What is the closest to 0.276 in 2/9, -2, -5, -0.59?
2/9
What is the closest to -64 in -1, 4, -5/6, -5, 0.3?
-5
What is the nearest to 0.3 in -2/15, 2/29, 2/15, -725, -3?
2/15
Which is the nearest to -2/125? (a) -2 (b) 0 (c) 1.4
b
What is the closest to 19/14 in -4, -0.9, 0.5, 2/3, 3?
2/3
What is the closest to -3 in 0.1, -2/5, 0.0222, -4?
-4
Which is the closest to -2? (a) -2/15 (b) 2297 (c) 1 (d) -2 (e) 6/5
d
Which is the closest to -8.7? (a) 2 (b) -2 (c) -2/19 (d) 1 (e) -153
b
Which is the nearest to 1/6? (a) 0.3 (b) 4 (c) 6/7 (d) -325 (e) -5
a
What is the nearest to 1 in 0, 0.1015, 11/6?
11/6
What is the closest to -3840/41 in -2, -0.2, 4/7, 1/3?
-2
Which is the closest to 38? (a) -0.095 (b) -2 (c) -5 (d) -7
a
Which is the closest to -2? (a) 9/4 (b) 0.9 (c) 18 (d) 1/8 (e) 3
d
What is the nearest to 0.1 in 0.4, 94/13, 28, 5/4?
0.4
What is the closest to 0 in -7793, 5, 0.2, -3/10?
0.2
Which is the closest to 0? (a) -1/3 (b) -0.15 (c) -3.3
b
Which is the nearest to 7/5? (a) 2/3 (b) -32.3 (c) 1 (d) 2 (e) 4
c
Which is the closest to -12? (a) 0.04 (b) 2 (c) 284
a
Which is the nearest to 0.2? (a) 26 (b) -1.3 (c) 0.1 (d) 0.4 (e) -2/19
c
What is the closest to -1 in -0.5, 0.02, 2/3, 0.2, 341?
-0.5
What is the closest to -10 in -1.29, 0.16, 1/4?
-1.29
What is the nearest to 0 in 0, 0.4, 3, 52.9?
0
What is the nearest to -1 in -4, -3, -0.3, -1/4, -3.7?
-0.3
Which is the nearest to 0.4? (a) 2 (b) 29 (c) 52
a
Which is the closest to -572? (a) -2/5 (b) -0.3 (c) 4/23 (d) 3/2
a
Which is the nearest to 2/3? (a) 0.19 (b) -182 (c) 0.2
c
Which is the closest to 1/61? (a) 2/5 (b) 5/3 (c) 3 (d) -3
a
What is the closest to 2/7 in -5, -1, -2/23, -11, -1/4?
-2/23
What is the nearest to -1/10 in -0.5, 117, -0.084, -4, 1/2?
-0.084
Which is the nearest to -0.1? (a) 0.4 (b) -0.08 (c) 65/44 (d) 4 (e) 1.5
b
Which is the closest to 0.3? (a) -4 (b) -2 (c) 39.03 (d) 1/6
d
What is the nearest to -0.2 in -123, -7, 5, -2.02?
-2.02
What is the closest to 13 in -2, 5, -5, -10?
5
What is the nearest to -60 in 82, 4, -1, -3?
-3
Which is the closest to 19? (a) -37 (b) -0.2 (c) -3/7
b
Which is the nearest to -1? (a) 2 (b) 0.38 (c) 3.3 (d) -2/7 (e) 2/5
d
What is the closest to 115 in -0.2, -0.1, 0?
0
Which is the closest to -8? (a) -0.6 (b) -6 (c) -1 (d) 3 (e) 2/9
b
What is the nearest to 4 in -5/3, -0.3, 35/2, 1/3, 1/30?
1/3
What is the nearest to -2/3 in 0.2, 469, 0.13, 2?
0.13
Which is the nearest to 0? (a) -0.12 (b) 1/4 (c) -39826
a
Which is the closest to 1/6? (a) -2/5 (b) -2 (c) -0.3 (d) 1 (e) -0.065
e
Which is the closest to 0? (a) -367 (b) 0.5 (c) 2/13 (d) -16
c
What is the closest to 0 in -3090, -3/8, 3, 0, 20?
0
Which is the closest to -286? (a) 0 (b) 0.2 (c) -50 (d) -1/3
c
What is the nearest to -1/5 in 0.5, 1/8, -13.1, 1, 0.6?
1/8
What is the nearest to -20.1 in -0.3, -6507, -5?
-5
Which is the nearest to 1? (a) -34847 (b) 3/7 (c) -0.4
b
Which is the nearest to -6/23? (a) 3/2 (b) -2/7 (c) -1/2 (d) -2/37
b
What is the closest to -69 in -17/5, -12/5, -1?
-17/5
What is the closest to -2 in -1/6, -60, -3, -12/13, 5?
-3
Which is the nearest to -0.01? (a) 4/17 (b) 1 (c) 2/15 (d) 2/3
c
What is the nearest to -38/5 in 1, 1/6, 2, -1937?
1/6
What is the closest to 0 in 1/3, -1/5, 4, -21646?
-1/5
What is the closest to -7/4 in -60, 5, -2, 34?
-2
Which is the nearest to 1/3? (a) -42/55 (b) -0.1 (c) -3/4 (d) -0.4
b
Which is the closest to 0.1? (a) 0.2 (b) -1 (c) 15959 (d) 4 (e) 2/21
e
Which is the closest to 61? (a) 1 (b) 1/5 (c) -0.4 (d) -0.02 (e) -3
a
Which is the nearest to 3.76? (a) 0.3 (b) 5 (c) -5 (d) 104
b
What is the closest to 0.1318 in 183, -1, -5?
-1
Which is the closest to 1/4? (a) -5 (b) -0.31199 (c) 2
b
Which is the closest to 8? (a) -5 (b) -4 (c) -8/521
c
What is the nearest to -0.08 in 2, 1/18, 125?
1/18
Which is the nearest to 8? (a) -2/29 (b) -0.2 (c) -0.329
a
What is the nearest to -0.1 in 0.1, 1/5, -23.9, 0.052, -1/2?
0.052
Which is the nearest to -11? (a) 0 (b) 1 (c) 0.8 (d) 0.138 (e) -1/6
e
What is the nearest to -8 in -2/11, 15, -1/2, -13, -30/13?
-13
Which is the closest to -0.5? (a) 13 (b) 7 (c) 4 (d) 2
d
What is the nearest to 1 in -9/8, -40, 2/5?
2/5
What is the nearest to -2/221 in -6, 5, -4?
-4
Which is the nearest to 0? (a) -3/134 (b) -1 (c) 177
a
What is the nearest to 1/4 in 0.3, -4221, -1/10, -4, -0.4?
0.3
What is the nearest to 0.1 in -5, -4, 199/5?
-4
What is the closest to -0.18 in -8, 1, 0.2, -2/13?
-2/13
What is the nearest to 10/3 in 1, 782, -0.2?
1
Which is the closest to -1/72? (a) 1 (b) -1 (c) -8/9 (d) 4/25 (e) -5
d
What is the nearest to -5 in -799, 0.2, 7/5, -5?
-5
What is the closest to 156 in 17, 0.3, 4/5?
17
What is the nearest to -1 in -3.5, -0.5, -4/9, 0.1?
-0.5
What is the closest to 0.2 in -2, -4/11, 169, -6?
-4/11
What is the closest to 75 in -0.7, 134, 4?
134
What is the closest to 4/3 in 160/21, 0.3, 3/5?
3/5
What is the nearest to -0.2 in -1/3, 0.1, 5/2, 0.07?
-1/3
Which is the closest to -3/14? (a) -1/3 (b) -4 (c) 1.3 (d) -3
a
What is the nearest to 17 in 2, -467, -1, -0.2?
2
What is the nearest to -0.1 in -1, 0.5, -5, 4, 0.74?
0.5
Which is the closest to 240? (a) -25 (b) -4/5 (c) -1/7
c
What is the nearest to 0.1 in -1/9, 4, -93/10, 0.5, 1?
-1/9
What is the nearest to -2 in 3/4, 1, 12/31, 0.9?
12/31
What is the closest to -25 in -0.3, 347, 1, -3/2?
-3/2
What is the closest to -2/9 in -5, -2/29, -0.1, -82/5?
-0.1
Which is the closest to -46? (a) 2/505 (b) 4 (c) -0.3
c
What is the nearest to -10 in -0.01, 0.9, -0.3, -36.8?
-0.3
What is the nearest to 1 in 3/7, 11/13, 99, -7?
11/13
Which is the closest to -40369? (a) 0.4 (b) 1 (c) -0.3 (d) 4
c
What is the nearest to 0.09 in 3, -5, -3, 0.008, -3/4?
0.008
What is the nearest to 2 in 5/8, -0.2, -0.85?
5/8
What is the closest to -7 in -1/8, -1.9, 0.5, -4?
-4
Which is the nearest to 12? (a) -3.3 (b) -5 (c) 0.04 (d) -0.4 (e) 3
e
Which is the nearest to 1.77? (a) -5 (b) -1/11 (c) -2/7 (d) -0.51 (e) -1
b
Which is the closest to 29? (a) 2/13 (b) -2.61 (c) -0.3 (d) 5
d
Which is the closest to -0.2? (a) 2 (b) 40 (c) -0.5 (d) -23 (e) 5
c
What is the closest to 23 in 5, 16, -0.25?
16
What is the nearest to 3 in 4, 5, 350/13?
4
Which is the nearest to -1115? (a) 4 (b) 0.1 (c) -103
c
What is the closest to -1 in -11, -0.05, 5, -19, -2?
-0.05
Which is the closest to -24? (a) 2 (b) 37 (c) -5 (d) -2/19
c
What is the closest to -3/2 in 1/2, -57/20, -0.4?
-0.4
What is the closest to -0.6 in 1/247, -2, 4, -5?
1/247
Which is the closest to 1/2? (a) -97/3 (b) 2 (c) 0.5 (d) -1/2
c
Which is the closest to -2/5? (a) -2 (b) 10/147 (c) -5
b
What is the nearest to -0.1 in -3, 31, 5, -0.3?
-0.3
What is the nearest to 52 in 2/13, 4/5, -9, -1/8?
4/5
Which is the closest to 2? (a) 45 (b) 4 (c) 5 (d) -4/7
b
Which is the nearest to 1/2? (a) 1/17 (b) -1 (c) -8 (d) -176
a
What is the nearest to -2 in -15/2, 1/13, 1/3, 1/2?
1/13
What is the nearest to 0 in -2, 7, 390/7?
-2
What is the nearest to 0.3 in -0.3, 1/4, -2/5, -7739, -2/13?
1/4
Which is the nearest to -4/5? (a) 5 (b) 1 (c) -6
b
Which is the closest to -2? (a) -16.8 (b) -4/71 (c) -0.2
c
What is the closest to 1/9 in -395, -11, -4?
-4
Which is the closest to -0.3? (a) -0.87 (b) -3 (c) 2/27
c
Which is the nearest to 0? (a) -0.007 (b) -0.45 (c) 5 (d) 0.03
a
Which is the nearest to 14? (a) -1 (b) -1/9 (c) -2.4 (d) -7
b
Which is the nearest to -0.1? (a) 3/2 (b) -3.68 (c) -39 (d) -2/13
d
Which is the nearest to -87? (a) -0.1 (b) 5 (c) -1073
a
What is the closest to 2 in 4/9, -1, 1/6, -1.649, -1/7?
4/9
Which is the nearest to -0.064? (a) -2/25 (b) 1/4 (c) 8
a
What is the closest to -0.1 in 4, 1.7, 823, 0.1, 1?
0.1
Which is the nearest to 0? (a) 1/6 (b) 4 (c) -20 (d) 2.482
a
What is the nearest to -2 in 2, 2019, 11/3?
2
What is the nearest to -93 in -2/21, 2/11, 258?
-2/21
Which is the nearest to 1/51? (a) -3 (b) -1/4 (c) 4 (d) 4/3 (e) 69
b
Which is the nearest to -1? (a) 259 (b) 5 (c) 1.2 (d) 0.2
d
What is the nearest to 1 in -10, -3/7, 39 | {
"pile_set_name": "DM Mathematics"
} |
2
Let t = 5544 + -5542. Suppose -6*w = -3*i - 2*w + 44, 0 = -4*i - 4*w + 12. Find the third derivative of 23*p**4 - 12*p**t - 18*p**2 + i*p**2 - 3*p**2 wrt p.
552*p
Suppose 7*m - 93 = -79. Find the second derivative of p**5 + 27*p + 19*p**2 + 13*p + 91*p**m - 12*p - 3 wrt p.
20*p**3 + 220
Let w(d) be the second derivative of 0*d**2 - 29*d + 0 + 43/3*d**3 + 35/6*d**4. Find the second derivative of w(j) wrt j.
140
Let g(a) = -1229*a**4 + 12*a**2 - 2*a - 105. Let t(x) = -2458*x**4 + 30*x**2 - 5*x - 209. Let o(i) = 5*g(i) - 2*t(i). Differentiate o(m) with respect to m.
-4916*m**3
Let f = -367 - -372. Find the second derivative of -11 - 45*w**2 + f*w**3 + 43*w**2 + 0*w**3 - 3*w wrt w.
30*w - 4
Find the third derivative of 4174 + 11*x - 11*x - 4843*x**3 - 4179 + 5*x**2 wrt x.
-29058
Let z(l) be the third derivative of -281*l**4/8 - 364*l**3 - 2133*l**2. What is the first derivative of z(a) wrt a?
-843
Suppose -4*p + 4 + 12 = c, 5*c = -5*p + 5. Find the third derivative of 17*w**4 + 28*w**2 - 13*w**4 + 2*w**p - 4*w**2 - 6*w**5 wrt w.
-240*w**2 + 96*w
Let c(k) be the first derivative of 1687*k**3/3 - 32*k**2 - k - 658. Find the second derivative of c(t) wrt t.
3374
Let s(y) be the second derivative of -2285*y**3/6 - 396*y**2 - 2638*y. Find the first derivative of s(r) wrt r.
-2285
Let i(z) = -z**2 + 19*z - 18. Let g be i(18). Let d be 2 - (g + -1)*755/5. What is the first derivative of 96 + 77 + 9*c**3 - d wrt c?
27*c**2
Let y = 276 - 273. Find the third derivative of -22300*s**3 + 0*s**2 + 68*s**2 + 22202*s**y wrt s.
-588
Let d = 437 + -407. Find the second derivative of -4*q - 2*q**2 + d*q**5 - 4*q + 24294 - 24290 wrt q.
600*q**3 - 4
Let n(q) be the third derivative of -459*q**5/20 + 352*q**4/3 + 2*q**2 - 42*q. Find the second derivative of n(l) wrt l.
-2754
Let a(w) be the first derivative of -7*w**7 + 3*w**5/5 - 4*w**4 + 2864*w**3/3 - w - 4138. What is the third derivative of a(m) wrt m?
-5880*m**3 + 72*m - 96
Let p(y) be the first derivative of 0*y**3 - 87/5*y**5 - 86 + 0*y**4 + 62*y + 0*y**2. What is the first derivative of p(u) wrt u?
-348*u**3
Find the first derivative of -281 - 222*d**2 - 1108 - 270*d**2 wrt d.
-984*d
Differentiate -1774 + 2263*h**3 + 452 - 776 wrt h.
6789*h**2
Suppose 0 = 30*c - 28*c - 90. Suppose 44*y + 4 = c*y. What is the derivative of -3*i**2 - 16 + 11*i**2 - 8*i**2 + 8*i**y wrt i?
32*i**3
Let v(z) = -z**3 + z**2 - 2*z - 3. Let c be v(0). Let x be (340/(-30))/(2/c). What is the third derivative of 10 - 5*w**3 + 22*w**2 + x - 27 wrt w?
-30
Let s(i) be the first derivative of 865*i**3 - i**2/2 + 923*i + 1358. What is the second derivative of s(k) wrt k?
5190
Let c(t) = 1678*t**3 - 6*t**2 - 6*t + 2389. Let k(j) = 1677*j**3 - 7*j**2 - 7*j + 2378. Let w(p) = -7*c(p) + 6*k(p). What is the derivative of w(a) wrt a?
-5052*a**2
Let s(y) be the second derivative of 177*y**4/4 - 251*y**3/3 + 711*y. What is the second derivative of s(w) wrt w?
1062
Let d(t) be the first derivative of t**5/5 - 17*t**4/2 + 817*t**3/3 + 1182. Find the third derivative of d(s) wrt s.
24*s - 204
What is the first derivative of 180*x**4 + 491*x**4 + 888 + 893 - 553 + 253*x**4 wrt x?
3696*x**3
Let w(j) be the third derivative of -1/24*j**6 + 0 - 29/24*j**4 - 1/30*j**5 + 1/6*j**3 - 59*j**2 + 0*j. What is the second derivative of w(p) wrt p?
-30*p - 4
Let q(c) = 170*c - 51. Let j be q(9). What is the second derivative of 1432*s - 2852*s + j*s - 250*s**5 - 3 wrt s?
-5000*s**3
Differentiate -10847*i**3 + 9087 - 10846*i**3 + 7898*i - 10842*i**3 + 32534*i**3 wrt i.
-3*i**2 + 7898
Let z(q) be the first derivative of 112 + 0*q**6 - 1/7*q**7 + 0*q - 13/4*q**4 + 4/3*q**3 + 0*q**5 + 3/2*q**2. What is the third derivative of z(c) wrt c?
-120*c**3 - 78
Let v(t) = -6*t**2 - t - 1. Let a(m) = 832*m**3 + 18*m**2 + 3*m + 597. Let x(j) = 2*a(j) + 6*v(j). What is the derivative of x(p) wrt p?
4992*p**2
Find the second derivative of -4 + 5 - 39*w - 6604*w**2 + 6766*w**2 wrt w.
324
Let s(k) be the first derivative of -96*k + 59 - 1/2*k**2 + 25/3*k**3. What is the second derivative of s(g) wrt g?
50
Find the first derivative of -24737*w**3 - 4095 + 24748*w**3 + 20*w**2 + 77*w**2 wrt w.
33*w**2 + 194*w
Differentiate 1068*u + 1948 + 69 - 1141*u with respect to u.
-73
Let v(i) be the first derivative of -1831*i**4/4 - 2*i**3/3 + 211*i + 631. Find the third derivative of v(d) wrt d.
-10986
Let l = 1 + -4. Let q = l + 6. Find the third derivative of -18*u**2 + 11*u**q + 2*u**2 - 8*u**3 + 21*u**3 wrt u.
144
Suppose -18 + 6 = -3*a. Suppose -r - a = -12. Find the third derivative of -137*x**4 + 151*x**4 + r*x**2 + 3*x**2 wrt x.
336*x
Let a(y) = -y**4 + y**2 - y + 3. Let h(r) = -1349*r**5 + 5*r**4 + 2014*r**2 + 5*r - 15. Let t(u) = -5*a(u) - h(u). Find the third derivative of t(z) wrt z.
80940*z**2
Let h(w) be the third derivative of 361*w**8/42 + 67*w**5/6 - w**4/8 + 265*w**2 - w. What is the third derivative of h(q) wrt q?
173280*q**2
Let a(d) = -d**2 + 2. Let u(x) = 1767*x**2 - 3*x + 160. Let r(n) = 18*a(n) - 2*u(n). What is the second derivative of r(l) wrt l?
-7104
Let b(f) be the first derivative of -168*f - 98 + 81/2*f**2. Differentiate b(g) with respect to g.
81
Suppose 392*s - 377 = 363*s. Let m be (-2*1)/(-2) + 2. Differentiate -h**3 - h**m + s*h**3 + 35 - 28 with respect to h.
33*h**2
Let j(q) = q**3 + 4*q**2. Let d(m) = 4175*m**3 - 24*m**2 + 12163*m. Let p(a) = -d(a) - 6*j(a). What is the second derivative of p(f) wrt f?
-25086*f
Let v(d) be the first derivative of 0*d**3 + 0*d**2 - 81/5*d**5 - 44*d + 0*d**4 - 35. What is the derivative of v(f) wrt f?
-324*f**3
Let b(q) = q**4 - q - 2. Let t(m) = -10*m**3 + 4 - 21*m - 104*m + 10*m**3 - 81*m**4 + 4. Let d(k) = -4*b(k) - t(k). What is the second derivative of d(i) wrt i?
924*i**2
Suppose 0 = -3*z + z + 444. Suppose -5*x = 152 - z. What is the third derivative of 9*i**4 - 3*i**2 + x*i**2 - 13*i**4 + 29*i**4 wrt i?
600*i
Let x = -21617 + 21664. Let y(a) be the first derivative of 18*a + 0*a**3 + x + 0*a**4 - 11/5*a**5 + 0*a**2. What is the derivative of y(b) wrt b?
-44*b**3
Differentiate -191 - 294*c**4 + 100 - 169 - 851*c**4 with respect to c.
-4580*c**3
Let l(d) = 3*d**2 - d + 4. Let a(y) = -2740*y**2 + 5*y + 307. Let b(g) = a(g) + 3*l(g). Find the second derivative of b(c) wrt c.
-5462
Let k(y) be the second derivative of 0 + 0*y**3 + 5/21*y**7 + 5/2*y**4 + 245*y + 0*y**5 + 0*y**2 + 2/15*y**6. What is the third derivative of k(l) wrt l?
600*l**2 + 96*l
Let o be (-1)/3*(3 + -18). Find the third derivative of -15*p**5 + 26*p**o - 6*p**2 + 30*p**5 + 4*p**2 wrt p.
2460*p**2
Find the second derivative of -56*s**5 + 987*s + 50290*s**3 + 2*s**4 + 26*s**2 + 2 - 50290*s**3 wrt s.
-1120*s**3 + 24*s**2 + 52
What is the third derivative of 3987*n**3 - 588*n**2 + 147*n**4 - 149*n**4 - 1 + 4*n**4 wrt n?
48*n + 23922
Find the third derivative of -316*r - 7885*r**2 - r**5 + 0*r**5 + 59*r**4 + 316*r - 46*r**4 wrt r.
-60*r**2 + 312*r
Let t(g) be the first derivative of 21/5*g**5 + 0*g + 225 + 1/3*g**6 - 17/3*g**3 + 0*g**2 + 0*g**4. What is the third derivative of t(m) wrt m?
120*m**2 + 504*m
Find the first derivative of 2315*n + 43 - 365 - 1306*n - 1330*n wrt n.
-321
Let r(y) be the third derivative of 0*y - 49*y**2 - 1/12*y**5 + 0 + 0*y**3 + 1/60*y**6 + 13/6*y**4. Find the second derivative of r(c) wrt c.
12*c - 10
Suppose -4 = -4*m + 2*s, -m - 6*s + 5*s = -7. Let g(w) be the first derivative of -m*w + 6*w**3 - 12 + 4*w + w. Differentiate g(u) wrt u.
36*u
Suppose 13 - 1 = 2*b. Let p = -112 - -112. What is the third derivative of p*g**6 + 0*g**6 - 6*g**b + 3*g**6 + 3*g**2 wrt g?
-360*g**3
Let r(d) be the second derivative of 0 + 4/3*d**3 + 15*d**2 - 54*d. What is the first derivative of r(p) wrt p?
8
Differentiate -1769*v - 383*v - 327 - 433 - 268 wrt v.
-2152
Suppose 9 = 3*u + f + 4*f, 4*u - 12 = -5*f. What is the third derivative of -21326*w + 21326*w + w**2 - 68*w**u - 9 wrt w?
-408
Let x(d) = -46*d**2 - 65*d - 1112. Let r(v) = 2*v**2 - 4*v - 9. Let q(g) = r(g) - x(g). What is the first derivative of q(a) wrt a?
96*a + 61
Let v be (2/4)/(4/(1112/1)). Suppose f - v = -s + 306, -f - 3*s + 439 = 0. Find the first derivative of -490*m + f*m - 67 + m**2 + 16 wrt m.
2*m - 42
Suppose -u - 24 = -3*w, 3*u - 85 + 132 = 4*w. Let f(j) be the third | {
"pile_set_name": "DM Mathematics"
} |
of 2*u**5 - b*u**5 + 2*u + 2*u**s wrt u?
20*u**3
Let q(i) be the third derivative of i**9/168 - i**5/15 + i**2. Find the third derivative of q(o) wrt o.
360*o**3
Let i(k) = 2*k**3 + k**2 - 3*k - 1. Let b(v) = v**3 + v**2 + v - 1. Let r(t) = -2*b(t) + 2*i(t). What is the second derivative of r(s) wrt s?
12*s
Let r(c) be the first derivative of -5*c**6/6 + 21*c**2/2 + 12. What is the second derivative of r(v) wrt v?
-100*v**3
Suppose 2*b - 25 = -b - 4*y, -2*y + 8 = 0. Find the second derivative of -w - 3*w**5 - 3*w**5 + b*w - 9*w wrt w.
-120*w**3
Let j(i) = 31*i**2 - 20*i + 11. Let r(n) = 8*n**2 - 5*n + 3. Let s(w) = -6*j(w) + 22*r(w). Find the second derivative of s(m) wrt m.
-20
Let x(a) be the second derivative of -3*a**5/5 + 23*a**3/6 + 31*a. Find the second derivative of x(z) wrt z.
-72*z
Let x(m) = 4*m**3 - 7*m - 5. Let l(y) = -y - 1. Suppose -a + 8 = 3*a. Let z(s) = a*x(s) - 10*l(s). Find the second derivative of z(p) wrt p.
48*p
Let n(d) = 5*d**2 - d - 1. Let a be n(-1). Suppose -7 = -a*q + 3. Find the third derivative of -3*o**2 - 3*o**5 + 0*o - o**q + 0*o wrt o.
-180*o**2
Let h(a) = 2*a + 1. Let v be h(2). Suppose -v*g + 10 = -10. Find the first derivative of 2 + 0*s**4 + 0 - s**g wrt s.
-4*s**3
Suppose 0 = 3*z - 2*z. Differentiate -5 - 2*o - o + 2*o + z*o with respect to o.
-1
Let h be (-6)/21 + (-4)/(-14). Suppose 0*d + 4*d - 12 = h. Find the second derivative of -d*p**5 + 4*p**2 - 4*p**2 - 13*p + 12*p wrt p.
-60*p**3
Let t = 12 + -32. Let u be 4/(-18) + t/(-9). What is the second derivative of -o + o + 2*o + u*o**2 wrt o?
4
Suppose 2*y = -m - 4*m, -4*m = 0. What is the second derivative of 0*r + r - 3*r**2 + y*r wrt r?
-6
Suppose 2 = -2*m + 6. Let q(t) be the third derivative of -1/12*t**4 + 0*t - 1/30*t**5 + 0 + 0*t**3 - 2*t**m. Find the second derivative of q(j) wrt j.
-4
Let x = 8 - 6. Differentiate 2 - 3 - x + 3*s**4 wrt s.
12*s**3
Let w(k) = k + 1. Let b be w(3). What is the first derivative of 17*y**2 - 4 - 2*y**b - 17*y**2 wrt y?
-8*y**3
Let r be (4/2)/(-1)*1. Let w = r - -6. What is the derivative of 0 - w + 1 - z wrt z?
-1
Let j(p) = 4*p**2 + 3*p + 2. Let a(t) = 20*t**2 + 16*t + 11. Let y(g) = 4*a(g) - 22*j(g). What is the second derivative of y(o) wrt o?
-16
Let z(c) be the third derivative of -c**7/2520 + c**5/24 - c**4/24 - 5*c**2. Let n(v) be the second derivative of z(v). Find the first derivative of n(d) wrt d.
-2*d
What is the third derivative of -26*l**2 + 7*l**6 - 47*l**2 + 0*l**6 + 58*l**2 wrt l?
840*l**3
Suppose 0 = -3*o + 7 + 2. Let i(l) be the third derivative of 2*l**2 + 0*l + 0*l**4 + 0 - 1/6*l**o + 1/20*l**5. What is the first derivative of i(s) wrt s?
6*s
Suppose 2*r = -3*x + x + 20, 4*x - r = 15. Find the second derivative of -m + 6 - 6 + 2*m**x wrt m.
40*m**3
Let b = 12 - 0. Find the second derivative of 4*p - 2*p**4 - p**4 - b*p + 2*p wrt p.
-36*p**2
Let s(a) = -24*a**2 - 5*a + 12. Let d(p) = 24*p**2 + 6*p - 11. Let h(k) = 5*d(k) + 6*s(k). Differentiate h(x) with respect to x.
-48*x
Let k(z) = -2*z**2 - 2*z + 1. Let p be k(1). Let x be p/(-2 - (-1)/2). Find the second derivative of x*w**2 + 2 - 2 - 2*w wrt w.
4
Let g(w) = 3*w + 5. Let y(n) = -n**4 - 5*n - 9. Let j(o) = -o**2 + 10*o + 16. Let k be j(11). Let c(s) = k*g(s) + 3*y(s). Differentiate c(u) wrt u.
-12*u**3
Let o be (-7)/21 + (-49)/(-3). Suppose -4*x + 2 - o = -2*q, -3*q + 11 = -x. Find the first derivative of 2*f**4 - q*f**4 + 0*f**4 - 2 wrt f.
-4*f**3
Let d(f) = -15*f**3 + 2*f**2 + 12*f - 2. Let r(l) = 74*l**3 - 11*l**2 - 60*l + 11. Let o(g) = -11*d(g) - 2*r(g). Find the second derivative of o(t) wrt t.
102*t
Differentiate 8*h**4 - 1 - 2*h**4 + 12 wrt h.
24*h**3
Let i(a) be the third derivative of -a**5/60 - a**4/6 - 2*a**2. Let t be i(-3). What is the third derivative of 3*d**6 - 3*d + t*d**2 + 3*d wrt d?
360*d**3
Let d(l) = -26*l**4 + 11*l**2 + 11*l + 9. Let k(s) = 5*s**4 - 2*s**2 - 2*s - 2. Let v(u) = 2*d(u) + 11*k(u). Differentiate v(j) wrt j.
12*j**3
Let i(b) be the third derivative of b**6/24 - 7*b**3/6 + 6*b**2. What is the first derivative of i(t) wrt t?
15*t**2
Suppose -2*o = -6*o + 36. Suppose -4*g = -z + o - 21, -5*z - 10 = 5*g. Find the second derivative of 2*k**3 + 3*k + g*k**3 - 4*k**3 - 3*k**4 wrt k.
-36*k**2
Let o(z) be the first derivative of z**8/840 - z**5/24 + z**3 + 4. Let v(f) be the third derivative of o(f). Find the second derivative of v(p) wrt p.
24*p**2
Let q(f) = 2*f**4 - 3*f**4 + 3*f**2 - 2 - 2 + 8. Let y(u) = -10 - 7*u**2 + 1 - 2*u**4 + 4*u**4. Let z(h) = 7*q(h) + 3*y(h). Differentiate z(c) wrt c.
-4*c**3
Let n = 158 + -158. Let c(h) be the second derivative of -1/2*h**3 + 0*h**2 - h + n + 0*h**4 - 1/30*h**6 + 0*h**5. Find the second derivative of c(b) wrt b.
-12*b**2
What is the first derivative of 3 + 0*d**3 + 8 - 5*d**3 - 4 wrt d?
-15*d**2
Let k(q) be the first derivative of 29*q**5/5 - 7*q**3/3 - 4. Find the third derivative of k(o) wrt o.
696*o
Let j(p) be the third derivative of -4*p**7/35 - 7*p**5/20 + 19*p**2. What is the third derivative of j(t) wrt t?
-576*t
Let p(z) = 48*z + 16. Let t(s) = 1. Let v(l) = -p(l) - 6*t(l). Differentiate v(m) with respect to m.
-48
Find the second derivative of -16*z + 10*z**5 + 9*z - 6*z wrt z.
200*z**3
Let w(t) be the first derivative of 10*t**3/3 + 8*t**2 + 2. What is the second derivative of w(y) wrt y?
20
What is the first derivative of -5*o**3 - 4*o**3 + 13*o**3 - 3 wrt o?
12*o**2
Let x(q) = q**2 + q. Let d be x(-2). Find the second derivative of -p**2 + 2*p**3 + 4*p**2 - p - 3*p**d wrt p.
12*p
Find the second derivative of -1309 - 13*y - 32*y**5 + 1309 wrt y.
-640*y**3
Suppose -2*q + 0*q + 6 = 0. What is the second derivative of 2*y**2 + 2*y + 4*y**q - 3*y**2 + y**2 wrt y?
24*y
Let f(j) be the second derivative of j**6/30 - 9*j**2/2 - 3*j. Differentiate f(w) wrt w.
4*w**3
Let q(h) be the first derivative of 2*h**4 - 3*h + 1. What is the first derivative of q(l) wrt l?
24*l**2
Suppose 4*g = g + 6. What is the derivative of -2*u - 1 + g + u wrt u?
-1
Find the second derivative of 26*m**2 - 2*m**3 - 42*m + 13*m - 5*m + m wrt m.
-12*m + 52
Suppose 4 + 8 = 6*b. Let m(g) be the first derivative of 2/3*g**3 + b*g - 1 + 0*g**2. Differentiate m(x) wrt x.
4*x
Let g(t) = -t - 8. Let q(n) = n + 4. Let p = 16 - 23. Let a(v) = p*q(v) - 4*g(v). Differentiate a(w) with respect to w.
-3
What is the derivative of -19 - 12*b**2 + 0 + 32*b**2 + 55 wrt b?
40*b
Let j(f) be the third derivative of -f**9/9 - 7*f**5/15 + 36*f**2. Find the third derivative of j(n) wrt n.
-6720*n**3
Let a(o) be the second derivative of o**6/60 - o**5/30 + o**2/2 - o. Let l(p) be the first derivative of a(p). What is the third derivative of l(y) wrt y?
12
Suppose -2*v + 3*s = -18, -3*v + 5 = -0*v + s. Find the second derivative of -7*t**5 + v*t + 2*t + 2*t wrt t.
-140*t**3
Let l(v) be the third derivative of -5*v**8/42 + v**5/4 + 26*v**2. Find the third derivative of l(g) wrt g.
-2400*g**2
Let l be 9/(-4)*(-16)/(-6). Let h be 13/5 - l/15. Find the second derivative of -2*c - 3*c**3 + 0*c + c**h wrt c.
-12*c
Let n be (-3)/12 - (-243)/12. Find the third derivative of -20*o**4 + n*o**4 + o**2 - 6*o**5 wrt o.
-360*o**2
Let f(i) be the second derivative of 5*i**4/12 + 16*i**2 + 26*i + 2. Differentiate f(k) wrt k.
10*k
Suppose q - 5 = -0. Let d be (-20)/(-6)*(-6)/(-5). Find the third derivative of -d*u**5 + u**2 + 5*u**q + u**2 wrt u.
60*u**2
Let r(d) be the first derivative of 3*d**4/4 - 15*d + 6. Differentiate r(w) wrt w.
9*w**2
Differentiate -61*c**3 + 72*c**3 + 2 - 4 wrt c.
33*c**2
Let q(s) be the first derivative of -s**5/5 + 2*s**3/3 + s - 4. Let r(x) be the first derivative of q(x). What is the second derivative of r(k) wrt k?
-24*k
Let c(t) be the second derivative of 7*t**4/12 + 3*t**2/2 + 2*t. What is the first derivative of c(m) wrt m?
14*m
Differentiate 365*g + 374*g - 695*g - 5 wrt g.
44
Let v(w) = -19*w**3 + 17. Let h(a) = -153*a**3 + 136. Let t(s) = -2*h(s) + 17*v(s). Differentiate t(g) wrt g.
-51*g**2
Let u(r) = r**3 - 7*r**2 + r - 5. Let n be u(7). Suppose s - 3*o + n = -o, -3*s + 4 = 4*o. Differentiate s*k**3 + 1 + 2 + k**3 + k**3 wrt k.
6*k**2
Let p(a) = a**4 - a**2 - a. Let h(f) = -f**4 - f**2 - f + 2. Let u = -13 - -11. Let q(x) = u*p(x) + 2*h(x). Find the first derivative of q(l) wrt l.
-16*l | {
"pile_set_name": "DM Mathematics"
} |
and give z.
-2178
Rearrange 2*b**2 + 6*b**4 - b + 2 + 1 - 7*b**4 to the form l*b**4 + w + x*b**3 + i*b**2 + c*b and give i.
2
Rearrange 4*a**3 + 0*a**2 - 43*a**4 + 3*a**2 - a**2 - 2*a**3 to q*a**3 + l*a**2 + j*a + p*a**4 + c and give j.
0
Rearrange (16 + 9*w - 16)*(162*w - 331*w + 77*w)*(-5*w**2 + 3*w**2 - w**2) to the form s*w**3 + v*w**2 + i*w**4 + h + p*w and give i.
2484
Express (5606 + 4973 - 1061 + 5285 + 2992)*(l + 3 - 3) as a*l + s and give a.
17795
Rearrange 4*q + 2*q + 6*q + (0*q + 5*q + 0*q)*(-1 + 0 + 0) - 4 + 4 + 3*q to the form v*q + i and give v.
10
Express ((-k - 2*k + 2*k)*(k**2 - 3*k**2 + 3*k**2) - k**3 - 2*k**3 + k**3)*(23 - 34 - 75) in the form j*k**3 + d*k**2 + u + x*k and give j.
258
Rearrange 17*d**2 + 3*d**4 + 37*d + 12*d**2 - 1 + 11*d**2 - 19*d - 19*d to g + w*d**3 + b*d**2 + n*d**4 + z*d and give n.
3
Express 3*p**4 + 1075*p**3 + p**2 - p**2 + p - 2 - 1086*p**3 - 2*p**2 as c*p + x*p**2 + k*p**3 + y + n*p**4 and give x.
-2
Rearrange -16 - 19*h - 11 - 20 + 52 to the form o*h + m and give m.
5
Express 0*h**3 + 21 - 33*h - 2*h**3 + 28 - 50 as d*h + w*h**3 + z*h**2 + b and give z.
0
Rearrange 73 - 3*l**2 + 89 - 48 + 54 to j + a*l + h*l**2 and give h.
-3
Rearrange -4*b + 394*b**4 + b - 395*b**4 - 30 + 11 - b**3 to the form u*b**2 + q*b**4 + s*b**3 + t + r*b and give t.
-19
Rearrange 11 - 12 + 20*n**2 + 12 - 10 to the form q + f*n + x*n**2 and give q.
1
Rearrange (p - 6*p - 6*p)*(2*p - 6*p + 3*p) + 48*p - 48*p - 17*p**2 to a + t*p + d*p**2 and give d.
-6
Express 1401*h - 246 + 143*h + 41*h + 246 as t*h + z and give t.
1585
Express (-312 - 282 + 214 - 273)*(w**3 + 6 - 6) as a*w + v*w**3 + z*w**2 + y and give v.
-653
Express -24*c - 11*c + 29 - 2*c**2 + 45*c in the form x*c + v*c**2 + n and give v.
-2
Express ((3 - 5 + 0)*(-4*i + 4*i - 2*i) + 0*i - 4*i + 5*i)*(-4 + 0*i**2 + 5*i**2 + 6) as l*i + p + t*i**2 + z*i**3 and give z.
25
Express 1788*d + 1963*d - 597*d + (d - 4*d + 5*d)*(-2 + 0 + 0) as y + n*d and give n.
3150
Express -243*o**2 + 1 + o**3 + 245*o**2 - o + 7*o**3 + o**4 - 15*o**3 as i + g*o + x*o**4 + l*o**3 + m*o**2 and give x.
1
Express -111*m**2 + 36*m**2 - m**4 + 29*m**2 + 45*m**2 - 527 + 1667 in the form a*m**4 + k + j*m**2 + z*m + t*m**3 and give k.
1140
Express -19*x - 2*x**3 + 41*x + 4*x**3 + 2*x**2 - x**4 + 1 as b*x**3 + f*x**2 + y + j*x + k*x**4 and give y.
1
Rearrange 5 - 4*v - 5 - 2 - 8*v + 2 + (2 - 2 + 2)*(2*v + 0*v + 0*v) + 153 + 11*v - 153 to m*v + t and give m.
3
Express (-z + 0*z + 0*z)*(-26*z**2 + 233 - 233) + (z**2 - 2*z**2 + 0*z**2)*(-z - 2*z + 0*z) in the form v*z + a*z**3 + k*z**2 + q and give a.
29
Express -51*y - 2 - 54*y + 104*y + 1 as t + z*y and give z.
-1
Rearrange -8*b + 21 - 21 + 0*b - 4*b - b + (3 - 4 + 3)*(-4*b - 2*b + 5*b) to u + s*b and give s.
-15
Express -7854*y**3 + 7856*y**3 + 2*y**2 - 2 + 8*y - 3*y**2 as z + j*y**3 + c*y**2 + u*y and give j.
2
Rearrange (0 - 2 + 1)*(-4*x + 3*x + 2*x) + 474*x - 1229*x - 3553*x to the form n + l*x and give l.
-4309
Express 951*n**2 + 37*n - 37*n + 1941*n**2 in the form h*n + w*n**2 + z and give w.
2892
Rearrange (32*n**2 - 87*n - 3*n - 18*n**2)*(1 - 1 + n) to the form t*n**3 + c*n**2 + z*n + l and give c.
-90
Express 3*s**2 - 2*s**2 + 2 + 218*s - 2 + 150*s as f + m*s**2 + n*s and give n.
368
Rearrange (1 - 1 - 25*j**4)*(19 - 21 - 24) to m*j**3 + o + t*j**4 + l*j**2 + g*j and give t.
650
Express -35*k + 151*k**2 + 2 + 24*k + 11*k + 1 in the form b*k**2 + m + c*k and give b.
151
Rearrange (b**2 - 2*b**2 - 2*b**2)*(-1 + 2367*b - 4723*b + 2359*b - 43*b**2) to m + f*b**4 + x*b**3 + h*b + k*b**2 and give h.
0
Rearrange -157*o**2 + 2*o**3 + 157*o**2 + 32*o to the form w*o**3 + z*o**2 + s*o + d and give s.
32
Rearrange -94 - 9*q + 94 - 2*q - 1 + 1 + (0 - 2 + 1)*(-q - 4 + 4) + 3*q - 5*q + 4*q + 2 - 2*q - 2 to d + y*q and give y.
-10
Rearrange 108*z**2 - 8*z**3 - 29 - 24*z**2 + 2*z - 23*z**2 - 61*z**2 to the form f + w*z**3 + t*z**2 + d*z and give w.
-8
Express 37264*v**2 + v + 3*v**3 - 37227*v**2 - 4*v**3 as p + y*v**2 + g*v**3 + n*v and give g.
-1
Rearrange -6 - 10*p**2 + 28*p**3 + 5*p**2 + 2*p + 3 + p**2 to z*p**3 + x + f*p + t*p**2 and give f.
2
Express -112*o**2 + 3*o**3 - 115*o**2 + 228*o**2 - 102 in the form t + x*o**2 + h*o**3 + p*o and give t.
-102
Rearrange (6*g + 2*g - 7*g)*(14 - 18 - 23) to m + l*g and give l.
-27
Express -5*y**2 + 4*y**2 + 3*y**2 - 2 + 5 as p*y**2 + q*y + l and give p.
2
Rearrange 0*f**3 + 1408 - f**3 - 1483 + 4*f**2 to m*f**2 + b*f**3 + p*f + d and give d.
-75
Rearrange (35*p + 7*p + 16*p)*(25 + 8 - 11) to the form l*p + c and give l.
1276
Express (-2*j + 5*j + j)*(-j + j + j) + (8 - 5 + 8)*(-3*j**2 - 3*j**2 + 3*j**2) in the form i*j**2 + x + p*j and give i.
-29
Rearrange -1940*o**2 - 142*o**2 - 506*o**2 to s*o**2 + g + d*o and give d.
0
Express -2*c**2 - 2 - 12*c**3 + 2*c**2 + 9*c - 34*c**3 + 11*c**3 in the form d*c**3 + x + g*c**2 + v*c and give v.
9
Rearrange (-2 + 1 - 1)*(-16 + 2 + 55*c + 12) to the form d*c + g and give d.
-110
Rearrange (4 - 86 - 49)*(0*v + v - 2*v)*(3 + 0 - 1)*(-1 + 6 - 2) to the form t*v + d and give t.
786
Express (-3*v - 2*v + 6*v)*(-1 - 1 + 5)*(3 + 8 - 2) in the form o*v + n and give o.
27
Rearrange 68*q**2 + 117*q**2 - 52*q**2 to z + l*q + w*q**2 and give w.
133
Rearrange (-1 + 5 - 2 + (0 + 1 + 1)*(4 - 2 - 3) + 5 - 1 - 2 + 0 + 0 + 2)*(-33*a + 1 + 55*a**2 + 33*a) to v*a**2 + r*a + u and give v.
220
Express -s**2 - s**4 - 9*s**4 - 14 + 2*s**4 + 2*s + 12*s**4 in the form y*s**4 + x*s**3 + h*s**2 + w*s + k and give w.
2
Express (-2*s**2 + 4 - 4)*(7*s**2 + 37*s - 24*s**2 + 2 - 23*s) as h*s**4 + v*s**3 + d*s + i + y*s**2 and give h.
34
Express (-1 - 1 + 4)*(-v - 2*v + v) + 329*v - 45*v - 73*v + v + 2 - 2 + (-4 - 1 + 3)*(v + 0 + 0) in the form s*v + x and give s.
206
Rearrange (b**3 + 2*b**3 - 4*b**3)*(11*b - 156*b - b) to h + w*b**4 + p*b**3 + g*b + l*b**2 and give w.
146
Rearrange (-2*h + 5*h + 2*h)*(3*h + 3*h - 4*h) + 468*h**2 + 4*h - 3*h - 2 - 422*h**2 to s*h**2 + r*h + g and give r.
1
Rearrange 44*l - 2*l**3 - l**4 - 56*l + 13*l + 242*l**2 to d*l**3 + i*l + a*l**2 + w*l**4 + u and give i.
1
Rearrange 2*o - 2*o**3 + o**2 - 3*o**2 + o**2 - 17*o**2 + o**3 to the form m*o + k + p*o**2 + h*o**3 and give p.
-18
Rearrange 1 - 6*n - n - 20*n - 32*n**2 - 2*n**3 + 29*n**2 to a*n**3 + y*n + q + s*n**2 and give q.
1
Rearrange (2*i**4 + 1 - 1)*(0 + 3 + 3)*(32 - 15 - 23) to the form v*i**3 + b + a*i + k*i**4 + q*i**2 and give v.
0
Express 3*j**2 - 2 + 3*j - 621*j**3 + 627*j**3 - 4*j**2 - 6*j - j**4 in the form g + p*j**2 + r*j**3 + v*j + z*j**4 and give g.
-2
Rearrange -11*w**4 - w + 2*w + 22*w**3 + 2*w**2 + 1 + 9*w**4 to c*w**4 + f*w**3 + d*w**2 + y*w + a and give c.
-2
Express -2*z + 10 - 31 + 48 - z**2 in the form k + j*z**2 + m*z and give k.
27
Express (3 + 0 + 4)*(-6*d**3 + 17*d**3 - 50*d**3) in the form u + i*d + f*d**2 + m*d**3 and give m.
-273
Rearrange (g**2 - 1 + 1)*(-1 + 1 - 1) + (-g - g + 5*g)*(-94*g - 48*g - 164*g) to the form v*g + u*g**2 + y and give u.
-919
Express 39*s**3 - 5*s**2 + 0*s - 3*s + 5*s**2 - 99*s**3 in the form u*s + f*s**2 + j*s**3 + i and give j.
-60
Rearrange (-6*a**2 + 28 - 28)*(0*a + 2*a + 3*a) + (0 - 3*a + 0)*(2*a**2 - 3*a**2 + 2*a**2) to z + j*a**2 + m*a + u*a**3 and give u.
-33
Rearrange 5 - y**2 - 4 + 1 + (15*y - 39*y - 5*y)*(-3*y + y + 0*y) to q*y**2 + n*y + v and give v.
2
Express -5 + 6 + 83*g - 4 - 2 + 2 in the form k*g + x and give x.
-3
Rearrange -3*u - u - u + (4*u + 2*u - 3*u)*(33 - 11 + 18) to the form z*u + f and give z.
115
Express 13*k + 2*k - 5*k + 2*k + 11 - 4*k as i + j*k and give j.
8
Rearrange (14 - 7 + 26 - 2 + 0 + 0 + (-1 + 2 - 2)*(0 - 4 + 3))*(-z + 2*z + z) to x*z + t and give x.
64
Express -58*w**2 - 275*w + 134*w - 54*w**2 + 143*w as b + j*w**2 + a*w and give j.
-112
Rearrange 7*w**2 - 62*w**3 + 65*w**3 - 10*w**2 + 49*w**2 to i + d*w + b*w**2 + a*w**3 and give d.
0
Rearrange (l + 0*l + l)*(1 - 3 + 1) - 3 + 30 - 8 + 5*l to g + i*l and give i.
3
Express -4*y**2 - 2680*y**4 + 2681*y**4 + 2 - 14*y - 5*y in the form c*y + k*y**2 + n*y**3 + a + w*y**4 and give a.
2
Rearrange (4*n - 6*n + 6*n)*(-2*n + 0 + 0) + n**2 + 0*n**2 + 0*n**2 + 6*n**2 + 0*n**2 + 8*n**2 to s*n**2 + g + u*n and give s.
7
Express 40*p - 19*p - 9*p - 63 - 10*p as x*p + v and give v.
-63
Exp | {
"pile_set_name": "DM Mathematics"
} |
- q/(-846))/(16/18).
752
Suppose -3*u = -2*j - 100, -3*u + 13*j + 92 = 15*j. Suppose 0 = 13*g + 49 - 621. What is the least common multiple of g and u?
352
Let i = 7311161969/4720 - 1548975. Find the common denominator of i and 163/3540.
14160
Let c = -11248 + 11264. What is the lowest common multiple of c and 1440?
1440
Let z = 16369/7248 - -134/151. Find the common denominator of z and (2886/360 + -8)*(-260)/24.
144
Suppose -l - 4 + 2 = y, 0 = -5*l - 3*y. Let u(g) = -258*g**2 + 520*g**2 + 2*g**3 - 2 - 3*g - 258*g**2 - g**3. Calculate the least common multiple of u(l) and 9.
468
Let j(n) = -3*n + 31. Suppose 10*x = 2*x + 72. Let h be j(x). Suppose 53 = 5*m + h*y, 2*m + 3*m = 2*y + 41. Calculate the smallest common multiple of m and 5.
45
Let d be 268/52 - 5 - (-204)/26. Suppose 24 = d*a - 12*a. Calculate the least common multiple of 22 and 8/a*(-9 - 6).
220
Let c be (5653/(-318))/((-2)/32764*-2). Let b = 145609 + c. What is the common denominator of b and -149/30?
1590
Let r(s) = -23*s - 8. Let a = 17828 - 17826. What is the lowest common multiple of r(-6) and a?
130
Suppose 595*s - 947184 = -341418 + 288519. What is the smallest common multiple of 1503 and s?
1503
Find the common denominator of 3 - 70715/(-14155) - 8 and -29.
2831
Suppose 5*w = -4*k + 90 + 37, w = -k + 25. Let p = w - 4. Suppose -4*g - g - 65 = -4*m, 55 = 4*m - 3*g. What is the smallest common multiple of m and p?
230
Calculate the common denominator of 3/2*(68/1496)/((-6)/52) and 71/13420.
13420
Let u = 589 + -32983/56. Calculate the common denominator of u and 88*310/1519 + -19.
392
Let h(n) = -2*n**3 - 53*n**2 - 46*n - 118. Calculate the least common multiple of 2211 and h(-26).
4422
Let g = -22/455 + 99256/2071615. Let z = g - 159259/218544. What is the common denominator of -139/12 and z?
48
Let a be 4 + 12840/(-28) + (-6)/14. What is the common denominator of (-7)/(392/a) + 0 and 91/18?
72
Let a = -7863 - -7871. What is the lowest common multiple of 1638 and a?
6552
Let n = -29 - -25. Let a = 5623/632 + -7/316. What is the common denominator of 316/(-64) - -2 - n and a?
16
Suppose 36*t + 6352 = 482*t - 49*t. Calculate the smallest common multiple of 584 and t.
1168
Let u be 12/(-66) + 1927/11. Suppose 3*g - 55 = -u. Let x = 19193/6903 + -2/767. Calculate the common denominator of x and g.
9
Let s = 81669/2 + -40005. Suppose -4*l + 4*f = 605 + 2875, 0 = l - 2*f + 866. Let x = l + s. Calculate the common denominator of 107/22 and x.
22
Find the common denominator of -6 + (-245)/35 + (-1186)/(-120) and (1*2)/((-5)/2).
60
Suppose 3*b = 14*t - 11*t - 345, -t + 135 = 3*b. Calculate the smallest common multiple of 36 and t.
360
Let q = -627 - -1229. Let u be (-4)/(-14) - 1306/q. Let y = -4121/430 - u. Calculate the common denominator of -13/8 and y.
40
Let t(j) be the first derivative of -j**3/6 + 4*j**2 + 18*j - 1. Let o(w) be the first derivative of t(w). What is the least common multiple of o(-12) and 4?
20
Let x = -91495 - -15096743/165. Calculate the common denominator of x and -4*12/48 + (-517)/(-847).
1155
Let q be -186*7/((-28)/(-10)). Calculate the common denominator of (-341)/q - (-14)/(-2) and -25/9.
45
Let c be (2/6)/((-8486)/12). Let b be (97655/(-50916))/(2*(-11)/8). Let g = c + b. What is the common denominator of 139/30 and g?
330
Let z = 204/397 + -76869/161182. What is the common denominator of z and 73/10?
2030
Suppose 3*d - 4*d = -4, z = -5*d + 32. Suppose 4*i = -3*t + 34, z - 2 = -2*i. Suppose 645*p - 634*p = 220. What is the lowest common multiple of t and p?
180
Suppose -215 + 174 = -r. Suppose -r*c - 70 = -46*c. Calculate the least common multiple of 4 and c.
28
Suppose -4*d = 5*r - 11, -270*d = -271*d - 4*r. Let l be 1/(((-3)/3)/2). Let o = 4 - l. Calculate the smallest common multiple of d and o.
12
Find the common denominator of 47/150 and ((-48)/(-1404))/(30/(-414)).
1950
Let d be 23/(-15)*54/2. Let i = d - -5003/120. Calculate the common denominator of i and (-90)/120 + (2 - 20/(-25)).
120
Let z = 3075 + -2883. What is the lowest common multiple of 432 and z?
1728
Let f(i) = 32*i + 6. Let p be f(3). Let x = -39 + p. Let r = 69 - x. Calculate the lowest common multiple of r and 24.
24
Suppose 43 = -13*y + 1733. Calculate the lowest common multiple of y and 650.
650
What is the common denominator of -77/186 and -5 + ((-1171776)/(-6660))/34?
34410
Let p = -3883636744/38335 - -4152114/41. Let x = -634/17 - p. Calculate the common denominator of 22/5 and x.
55
Let c(h) be the second derivative of h**4/12 - h**3/6 - 45*h**2/2 + 2*h - 34. Calculate the smallest common multiple of 195 and c(-7).
2145
Let m = 135 + -133. Suppose 4*r - 4 + 24 = 2*z, 0 = -m*r + 10. Let n = -10 + 17. Calculate the least common multiple of z and n.
140
Let s be 56/(-824)*(-12)/(4/(-2)). Let i = s - -10075/206. Find the common denominator of i and -17/58.
58
Let f = -2455/13 + 1160617/6149. Let v = 2/312987863 + -14158631971775/2072605628786. Let o = f + v. Calculate the common denominator of 85/22 and o.
154
Let u = 332 + -57. Suppose u*n = 277*n - 16. Suppose 2*p - 13 = 4*c - 5*c, -5*c - 7 = p. Calculate the lowest common multiple of p and n.
8
Let c be 9990/14*3/6. Let l = -354 + c. What is the common denominator of ((-615)/220)/(12/8) and l?
154
Let k = -10206 - -500067/49. Calculate the common denominator of k and -83/357.
2499
Let v = -17/2613 + 119989/13221780. Calculate the common denominator of -155/84 and v.
106260
Let m = 543662761/700 - 3883219/5. Let f = 243/14 - m. Find the common denominator of -71/40 and f.
200
Let a = 10052 - 9989. What is the least common multiple of a and 315?
315
Let y(w) = 349*w + 45. Let s be y(1). Suppose -14*d - 2 = -s. Suppose 3*z = z + 8. Calculate the smallest common multiple of z and d.
28
Suppose -3*u - c = -29, 4 = 4*c - 16. Suppose u*f - 94 = -38. Suppose 3*d = 11 + 10. What is the smallest common multiple of d and f?
7
Suppose -3*h + 3*p = -1566, -4*h + 2627 = -5*p + 537. What is the least common multiple of h and 260?
520
Let i = 3/17794 + -462851/1227786. Calculate the common denominator of i and -41/1656.
1656
Let s = -9255 - -129501/14. What is the common denominator of s and -91/774?
5418
Let t be 3 - (1 + 0)*(-31 + -82). Suppose -208 = -9*h + t. Calculate the smallest common multiple of h and 36.
36
Suppose -g + 3*a = -6*g - 13, -4*g = 5*a. What is the common denominator of (-10 - g) + 1 + 107/4 and (7/(-196))/(54/2877)?
72
Calculate the common denominator of 2/(-24)*(-15 + (-1348)/(-74)) and -29/8.
888
Let f(m) = 4*m. Let v be f(2). Suppose 19*n = 20*n + v. Calculate the smallest common multiple of 27 and (-20)/n*6*1.
135
Suppose -43*x = -19484 + 478. Calculate the lowest common multiple of x and 17.
442
Let o(d) = 8 + 6*d + 1 + 18 - 3*d. Let n be o(-19). Calculate the least common multiple of 10 and 46/3 - 20/n.
80
What is the common denominator of 81/1000 and 60/(-36) + 8 + (-4648)/800?
3000
Let l(m) = -m**3 - 12*m**2 - 5*m - 58. What is the smallest common multiple of 307 and l(-12)?
614
Let x be (-345634)/64600 + 1/2. Let h = x - -3/8075. What is the common denominator of h and 35*18/216 - (-2 + 3)?
60
Let y(k) = -k**3 + 4*k**2 + k - 4. Let m be y(4). Calculate the common denominator of (m - 39)*(-1 + (-26)/(-27)) and -17/6.
18
Let u be ((-12)/(-18))/(-2 - (-2238)/1116). Let g = u - 119. Calculate the lowest common multiple of 9 and g.
45
Suppose -4*d - 102214 = -33822. Let l = d + 564163/33. Calculate the common denominator of -133/60 and l.
660
Let s = 10421851784183/544181586 - 1/20930061. Let j = -60302 - -41153. Let a = j + s. Find the common denominator of 25/16 and a.
208
Let z be 1*(156/(-30))/(2/(-20)). What is the least common multiple of (-1)/(2/30)*z/(-65) and 174?
348
Let j = -17025/2524 - 3/631. Let v be 3/(90/(-26948)) - (-168)/280. Let m = -43289/48 - v. What is the common denominator of m and j?
16
Suppose -2 = -2*m, 4*s + 6*m - 1484 = 10*m. Suppose -s - 5102 = -34*i. Calculate the smallest common multiple of i and 7.
161
Let z be (-5 - 1)/((-48)/16). What is the least common multiple of -6 + 5 + 9 + z and 134?
670
Find the common denominator of (-1515)/(-1444) - (-3 - 28/(-5 - 2)) and 55/8.
2888
Suppose 4*h + 90 = -6*h. Suppose -2*a + 21 = 69. What is the smallest common multiple of a/84 - h/7 a | {
"pile_set_name": "DM Mathematics"
} |
+ 2*x**2 - x**2 - 3*x**4)*(-5 - 22627*x + 5 + 21153*x).
-2948*x**5 - 1474*x**3
Expand (1 + 2*w - 1)*(208*w - 24*w - 1194*w + 2).
-2020*w**2 + 4*w
Expand (-2 + t + 2*t - 2*t)*(476*t**3 + 221*t**3 - 109*t**3).
588*t**4 - 1176*t**3
Expand 2*v**2 - 5*v**2 + v**2 + (-4*v + 3*v + 2*v)*(-6007*v - 3265*v + 3052*v + 111*v).
-6111*v**2
Expand -4*o + 2*o + o - 4*o + 2*o + 3*o + o - 4*o + 2*o + (-6 + 4 + 4)*(5*o - 3*o - 3*o) + (7 - 11 - 10)*(1 - 80*o - 89*o + 143*o).
361*o - 14
Expand 715*b**2 + 5*b**4 + 47*b + 2*b**5 - 715*b**2 + (-2 - 1 - 2)*(b**5 + 3*b**5 - 2*b**5).
-8*b**5 + 5*b**4 + 47*b
Expand (-1849*m**2 - 6378360*m + 6378360*m)*(4*m - 4*m + 3*m) - 3*m**3 + 4 - 2 + 2*m**3.
-5548*m**3 + 2
Expand (-448*s + 1957*s - 353*s)*(0*s**4 - 10*s**3 - 2*s**4 + 18*s**3).
-2312*s**5 + 9248*s**4
Expand (3 - 2 - 14)*(0*b**3 + 7*b**3 + 128683 - 128677 - 3*b).
-91*b**3 + 39*b - 78
Expand (3 + p - 3)*(-p - 4*p + 4*p) - 1094 + 1094 - 699*p**2.
-700*p**2
Expand (5 - 3*b - 5)*(7 - 4 - 1)*(-1757 + 841 + 388)*(-1 + 3 - 1).
3168*b
Expand (5*g - 2*g - g)*(-5 + 2 - 12 + (0 + 2 - 5)*(2 - 2 - 2) + 0 + 3 - 5 - 5 - 1 + 3).
-28*g
Expand -51*x - 13596 + 13548 + 49*x + (-1 + 1 - x)*(-3 - 4 + 6).
-x - 48
Expand (2*v**4 - 4*v**4 - 5*v**4)*(-98 + 85 + 87)*(5 + 7 + 0) - 3*v**4 + 2*v**4 + 2*v**4 + 0*v + 2*v**4 + 0*v + (3*v**3 - v**3 + 0*v**3)*(-5*v - v + 4*v).
-6217*v**4
Expand 4*l**2 + 0*l**2 - 3*l**2 + (6*l + 18*l - 17*l)*(-2*l + l + 0*l).
-6*l**2
Expand (-1759 - 1267 + 3992)*(4 - 4 - v)*(2*v - 4*v + 5*v)*(0 - 1 - 1)*(-3 + 4 - 3).
-11592*v**2
Expand 0*g - g + 3*g - 2 + ((2 + 0 + 1)*(-13 + 26 + 1) + 0 - 3 + 2)*(-4*g + 13*g + 5*g).
576*g - 2
Expand (4 - 233*o - 368*o + 5 + 0 - 186*o)*(0*o**2 + 5*o**2 - 3*o**2).
-1574*o**3 + 18*o**2
Expand (-2 - n**3 + 2)*(-4*n + n + n) - n**3 + n**3 - n**4 + (102*n + 19563 - 19563)*(4*n - 4*n + n**3).
103*n**4
Expand (-6 - 1 + 1)*(56*v - 95*v + 56*v)*(-62*v + 98*v - 72*v)*(v**2 + 0 + 0).
3672*v**4
Expand -2*k**5 + k**5 + 2*k**5 + (13*k + 3*k**2 - 13*k)*(-4*k**3 - 2*k**3 + 5*k**3) + 21250*k**2 - 21250*k**2 - 303*k**5.
-305*k**5
Expand (22*r + 4*r + 19*r)*(2*r**2 - 3*r**2 + 0*r**2)*(9 + 4 - 10).
-135*r**3
Expand (-1 - 1 + 0)*(-2 + d - 3*d + 4*d) - 76*d + 34*d - 11*d + 3.
-57*d + 7
Expand (2 - 1 - 5)*(-21 + 0 + 2)*(5*l + 3*l - l).
532*l
Expand (431 - 197 - 190)*(-s + 0 + 0) - 8*s - 5*s - 7*s.
-64*s
Expand (-3*g + 3*g - 2*g)*(170 - 6010 - 3773).
19226*g
Expand (-70*o + 12*o**2 + 70*o)*(-5*o + 4*o**2 + 5*o)*(95*o + 0*o + 107*o - 45*o).
7536*o**5
Expand (0*q + 0*q - q**2)*(-177 + 149*q + 177)*(-1 + 2 + 1 + (-2 + 3 + 1)*(4 - 3 + 1) - 2 + 2 + 2 - 3 + 0 - 4) + 4*q**3 - 2*q**3 + 0*q**3.
-147*q**3
Expand (-140 + 11*b**2 + 140)*(-2*b - 2*b + 2*b + (-5 + 2 + 5)*(b + 2*b - 4*b) + 3*b - b - 3*b - 4*b + 2 - 2 - 6*b + 2*b + 2*b - 3*b + 2*b - 3*b).
-165*b**3
Expand (1 - 1 + 2*w**3)*(0 - 3 - 2) + 2*w**3 - 4*w**3 - w**3 - 6*w**3 + 3*w**3 + 2*w**3 + (1169 - 1169 - 27*w)*(-w**2 - 5*w**2 + 4*w**2).
40*w**3
Expand 77*n - 125*n + 124*n + ((-1 + 4 - 1)*(-4 + 4 - 2)*(1 - 2 - 1) + (2 - 4 + 1)*(3 - 1 - 4))*(-7*n + 18*n - 6*n).
126*n
Expand ((0 + 0 + 2*k)*(3*k - 4*k - k) + 0*k**2 - 2*k**2 + 0*k**2)*(8*k**3 + 7*k**3 + 25*k**3 + (2 - k**3 - 2)*(-3 + 2 + 0)).
-246*k**5
Expand (0*o - 12*o + 2*o)*(1464*o**2 + 28*o**3 - 1464*o**2 + (-3 + o + 3)*(0*o**2 + 0*o**2 + 2*o**2)).
-300*o**4
Expand (-x**4 + x**4 + 2*x**4)*(0 + 0 + 2*x) - 11*x**3 + 3*x**5 + 11*x**3 + (20*x + 2*x + 10*x)*(-2*x + 2*x - 3*x**4).
-89*x**5
Expand (-7 + 4 - 4)*(0 + 2 - 1 + (3 + 0 - 4)*(4 + 15 - 4))*(-v + 0 + 0) - v - 4*v - 2*v.
-105*v
Expand (-2 + 4 - 3)*(-4*p + 2*p + 5*p) - 26*p - 178 - 60 + 22*p.
-7*p - 238
Expand 2*u**4 + u**5 + u**5 - u**5 + (-223*u - 202*u + 315*u)*(-4*u**2 + 4*u**2 + 4*u**4).
-439*u**5 + 2*u**4
Expand (-3 + 0 + 0)*(54*b + 50*b - 16 - 121*b).
51*b + 48
Expand (4*d**5 - 3*d**5 - 5*d**5)*(-1 + 0 + 2)*(7 - 10 + 5).
-8*d**5
Expand (-3*y - 3*y + 3*y)*(-6 - 3 - 1)*(48 + 86 + 5).
4170*y
Expand -6*o + 0*o + 4*o + 1 + 2*o - 1 + (-6 + 1 + 4)*(0 + 0 + 2*o) + 2*o + 3*o - 4*o - 2*o + o - o + 3*o + o - 6*o + 62*o + 67*o - 128*o + 292.
-4*o + 292
Expand (3*b**3 + 0 + 0)*(-2*b - 4*b + 3*b) + 8 - 8 + 10*b**4 - 13*b**4 + 5*b**4 + 10*b**4 + (0*b + b + 0*b)*(b - b + 2*b**3).
5*b**4
Expand 37614*d**4 + 22*d**3 + 25*d**3 - 12439*d**4 - 47*d**3 + (-2*d**2 - 3 + 3)*(3*d - 3*d - 2*d**2) + d**4 - d**4 + 2*d**4.
25181*d**4
Expand (-5303 + 3040 + 3391)*(-2*w**2 + 0*w**2 - w**2 + (-2 + 2 + 2)*(-2*w**2 + 2*w**2 - w**2)).
-5640*w**2
Expand (5*k**2 - 5*k**2 + 2*k**2)*(0*k + 5*k - 3*k) - 349*k**3 + 272 - 272 + (3*k - 5*k + 3*k)*(-k + 0 + 0)*(13 + 16*k - 13).
-361*k**3
Expand (5*n - n - 2*n)*((n - n + 2*n)*(-1 + 0 + 3) + n - n - n + 30 - 53 + 24 + 2*n).
10*n**2 + 2*n
Expand ((0*m**3 + 0*m**3 - m**3)*(-3*m + 5*m - m) + (5*m + 3 - 11 - 3*m)*(-2*m**3 - 8*m + 8*m))*(2*m - m - 2*m).
5*m**5 - 16*m**4
Expand 388*o**4 - 160*o**4 + 463*o**4 + (4 - 1 - 5)*(-o**4 - 1 + 1) - 3 - 2*o**4 + 3.
691*o**4
Expand 3*n**2 - 2*n**2 + 2*n**2 + (2 + 2*n - 2)*(2*n + 2*n - 6*n) + (0*n + 3*n - 4*n)*(1 - 1 - 3*n) - 101*n**2 - 1017*n + 1017*n.
-99*n**2
Expand (25*p**2 - 5*p + 14*p + 5*p**2)*(3*p + 2 - 2).
90*p**3 + 27*p**2
Expand (4*s - 4*s + 2*s)*(-18*s**3 + 52*s**4 + 16*s**3 - 215*s**4 + s).
-326*s**5 - 4*s**4 + 2*s**2
Expand ((2 - 13 - 4)*(1 + 0 + 1) + 18 - 70 - 27)*(2*d + 4*d - 8*d - 1).
218*d + 109
Expand (0*n**2 + 2*n**2 + 5*n**2)*(90*n**2 + 201 - 201).
630*n**4
Expand (-829*a - 661*a - 24775 + 24775)*(-1 - 1 + 1)*(-4*a + 4*a - 5*a).
-7450*a**2
Expand (3 - 1 - 5)*(-2 + 0 + 1)*(-z + 2 - 2) + (2*z - 1 + 1)*(3 - 4 - 1) - 536*z - 315*z + 287*z.
-571*z
Expand (-26*b + 229*b + 79*b)*(1 + 3 + 1 - 1).
1128*b
Expand (-z - 1 + 1)*(3284*z**2 + 2173*z**2 + 2411*z**2).
-7868*z**3
Expand (2 - 2*p - 2)*(-24 - 8 - 17)*(0*p + 3*p - 4*p).
-98*p**2
Expand (9*g - 150*g + 53*g)*(3*g**2 - 5*g**2 + 0*g**2)*(1 - 6 + 3)*(g + 2*g - 6*g).
1056*g**4
Expand (-75*i**2 + 30643*i - 30643*i + 24*i**3)*(-4*i**2 + i**2 + 2*i**2).
-24*i**5 + 75*i**4
Expand (-17*l**2 + 17*l**2 + 12*l**2)*(214 + 130 + 135).
5748*l**2
Expand w**4 - w**4 - w**4 + (-4*w**2 - w**2 + 3*w**2)*(22*w - 65*w - w)*(2*w - 3*w + 4*w).
263*w**4
Expand (10*r - 5*r + 11*r)*(-2 - r + 2 + (r + 0*r - 2*r)*(-1 - 2 + 4) + 12*r + 26*r - 82*r + r + 1 - 1).
-720*r**2
Expand ((-1 + 3 + 1)*(-1 + 4 - 2) + (-6 + 1 + 1 - 10 - 33 + 17 + (-2 + 2 - 2)*(3 + 1 - 2) + 0 + 0 - 2)*(1 + 0 - 2))*(-2 + 2 + 6*o).
234*o
Expand (2*r**3 - 5*r**3 + r**3)*(-4*r + 5*r + 0*r) - 4*r**4 + 5*r**4 - 3*r**4 + 129 + 141 + 74*r**4 - 294.
70*r**4 - 24
Expand (4 - 3*f - 4)*(-6 + 6 + 18)*(3 + 1 - 8)*(-3 + 4 + 3).
864*f
Expand (4 - 4 - 5 + (4 - 5 + 3)*(5 - 3 - 3))*(253 - 6009*f - 3635*f - 2924*f - 253).
87976*f
Expand -16*w**2 + 43*w**2 - 17*w**2 + (22 + 19 - 1)*(-3*w**2 + 3*w**2 + 3*w**2).
130*w**2
Expand -275*v - 336*v - 107*v + (-1 + 0 + 4)*(v - 4*v + v).
-724*v
Expand (6022 - 5682*a + 11360*a - 5679*a)*(3*a + 3 - 3).
-3*a**2 + 18066*a
Expand (194*m**2 - 137*m**2 + 264*m**2)*(0*m + 8*m + 4*m).
3852*m**3
Expand (-2 + 0 + 4)*(-2*a - 4*a + 4*a) + 10440 - 15173 + 15813 + 2*a + 8676 + 15190.
-2*a + 34946
Expand (-273*s - 94 - 51 + 271*s)*(-25*s + 43*s - 29*s)*(3 - 1 + 0).
44*s**2 + 3190*s
Expand (-5*v + 5*v - 4*v)*(-v**2 + 2*v**2 - 3*v**2) + 88*v**3 - 4 + 1 + 5.
96*v**3 + 2
Expand (9 - 60 + 34)*(-2*y**3 + 6*y**3 - 3*y**3).
-17*y**3
Expand 6*h**4 - 20*h**4 - 19*h**4 + (3 - 3*h**3 - 3)*(-35 + 2 - 9)*(-3*h - h + 6*h).
219*h**4
Expand (5*x**2 + 0 + 6 - 4*x**2)*(-14 + 104*x + 45 - 27 + x).
105*x**3 + 4*x**2 + 630*x + 24
Expand (-14*t**2 + 52*t**2 + 10*t**2)*(-1 - 4 + 2)*(-2 + 2 + t**2)*(-3*t - 2*t + 4*t).
144*t**5
Expand (-5 - 43*w + 36*w - 1)*(-1 + 0 + 2)*(-3 + 3 + 7*w).
-49*w**2 - 42*w
Expand (-3 + 1 + 7 + 26*v)*(2*v**2 - 3*v**2 + 6*v**2).
130*v**3 + 25*v**2
Expand (7 + 6 - 5)*(910 + 55*n - 910)*(4 - 4 + 2*n).
880*n**2
Expand ((1 + 0 - 5)*(-5 + 2 + 2) - 1 + 1 + 2)*(18*b**3 + 34*b**4 - 18*b**3).
204*b**4
Expand -2*c**5 - c**5 + 4*c**5 + (0 + 1 - 3)*(1 + 3 - 6)*(152 - 152 + 14*c**5).
57*c**5
Expand (27*u**2 - 177*u + 177*u)*(0*u + u - 2644 + 2712).
27*u**3 + 1836*u**2
Expand 0 + 0 - 4*l**2 + (-4*l**2 + 88*l**2 - 213*l**2 - 3)*(1 + 1 - 1) + 3*l**2 + l - l.
-130*l**2 - 3
Expand (-8 - h + 8)*(-6*h**3 - 28*h**3 - 41998 + 41996)*(2*h - 2 + 2).
68*h**5 + 4*h**2
Expand -7*t | {
"pile_set_name": "DM Mathematics"
} |
ighest common factor of 1113 and 684972?
159
What is the highest common divisor of 28 and 3604888?
28
What is the greatest common divisor of 411219 and 45?
9
Calculate the highest common divisor of 70 and 350.
70
What is the highest common factor of 2665 and 147395?
205
What is the highest common divisor of 11 and 7792840?
11
What is the highest common divisor of 195 and 537160?
65
Calculate the greatest common divisor of 1728 and 9045.
27
What is the highest common divisor of 447899 and 272?
17
What is the greatest common factor of 1824 and 7676?
76
What is the highest common divisor of 92 and 67068?
92
What is the greatest common divisor of 8 and 1778?
2
Calculate the greatest common factor of 147 and 1112251.
49
What is the greatest common divisor of 2439360 and 360?
360
What is the greatest common divisor of 10971 and 345276?
207
Calculate the highest common factor of 42777 and 7350.
147
What is the highest common divisor of 306890 and 30?
10
Calculate the greatest common factor of 5282 and 14.
2
Calculate the highest common divisor of 187 and 462.
11
Calculate the greatest common factor of 70 and 123235.
35
Calculate the greatest common divisor of 19323170 and 10.
10
What is the greatest common factor of 3937 and 620?
31
What is the highest common factor of 825 and 480?
15
Calculate the greatest common factor of 19 and 194313.
19
Calculate the highest common factor of 432 and 2736.
144
Calculate the greatest common factor of 2574 and 285428.
286
Calculate the greatest common divisor of 316 and 1519486.
158
Calculate the highest common factor of 77 and 679.
7
Calculate the greatest common factor of 24010 and 322.
14
Calculate the highest common divisor of 5642 and 24180.
806
What is the highest common divisor of 756153 and 9?
9
Calculate the greatest common divisor of 249 and 5945539.
83
Calculate the highest common factor of 400 and 1982800.
400
Calculate the highest common divisor of 912 and 91504.
304
Calculate the highest common divisor of 98 and 26740.
14
What is the greatest common divisor of 48 and 79464?
24
Calculate the greatest common factor of 943 and 31898.
41
What is the highest common divisor of 181275 and 1200?
75
What is the highest common factor of 4284 and 108332?
28
Calculate the greatest common factor of 2156 and 836.
44
What is the highest common divisor of 290017 and 4186?
91
What is the greatest common factor of 3822 and 32448?
78
Calculate the highest common factor of 5194 and 12667.
53
Calculate the highest common divisor of 69 and 28451.
23
What is the greatest common divisor of 1086526 and 588?
98
Calculate the highest common factor of 17504 and 547.
547
What is the highest common divisor of 82 and 399217?
41
Calculate the highest common divisor of 41388 and 60.
12
What is the highest common divisor of 90 and 30170?
10
What is the highest common factor of 6200 and 899?
31
What is the highest common divisor of 94136 and 56?
56
Calculate the greatest common divisor of 3536 and 611286.
442
Calculate the greatest common factor of 23845 and 7781.
251
Calculate the highest common factor of 387 and 149683.
43
What is the highest common divisor of 158 and 268442?
158
Calculate the highest common factor of 2219912 and 488.
488
What is the greatest common factor of 264559 and 1?
1
What is the greatest common factor of 1003 and 33571?
59
What is the highest common divisor of 468195 and 260?
65
What is the highest common divisor of 236389 and 97?
97
Calculate the highest common factor of 259356 and 24.
12
Calculate the greatest common factor of 170900 and 200.
100
Calculate the greatest common factor of 50 and 94275.
25
What is the greatest common factor of 26904 and 156?
12
Calculate the greatest common factor of 651 and 4995123.
651
Calculate the greatest common divisor of 11 and 47223.
11
Calculate the highest common factor of 1919 and 1212.
101
What is the highest common divisor of 17 and 881773?
17
What is the highest common factor of 40807 and 32981?
559
Calculate the greatest common divisor of 854 and 499102.
122
Calculate the highest common divisor of 13 and 80665.
13
What is the highest common factor of 88810 and 50?
10
Calculate the greatest common factor of 179196 and 24.
12
What is the greatest common divisor of 3600 and 161145?
45
What is the greatest common factor of 1872 and 881424?
144
What is the highest common factor of 273015 and 585?
45
What is the highest common factor of 91058 and 22?
22
Calculate the highest common factor of 33 and 3286107.
33
Calculate the greatest common divisor of 145104 and 48.
48
What is the highest common factor of 4676 and 22540?
28
What is the greatest common divisor of 1597789 and 314?
157
Calculate the highest common factor of 10772280 and 230.
230
What is the highest common divisor of 5 and 15812870?
5
What is the highest common divisor of 2352 and 38514?
294
What is the highest common factor of 319836 and 492?
12
Calculate the highest common factor of 102 and 4367436.
102
Calculate the highest common factor of 3770 and 10440.
290
What is the highest common factor of 60825 and 1350?
75
What is the highest common divisor of 22220 and 380?
20
Calculate the greatest common factor of 2006 and 216886.
34
Calculate the greatest common divisor of 2825 and 125.
25
What is the highest common factor of 15225 and 573825?
525
Calculate the highest common factor of 241722 and 182.
26
What is the highest common divisor of 21 and 178346?
7
What is the greatest common factor of 2380888 and 1658?
1658
Calculate the highest common factor of 19543 and 2.
1
What is the highest common factor of 27 and 16917?
3
What is the greatest common factor of 120 and 89700?
60
Calculate the greatest common factor of 43101 and 819.
9
Calculate the highest common divisor of 49256 and 235.
47
Calculate the highest common divisor of 1064 and 6859.
19
What is the highest common factor of 617432 and 226?
226
What is the greatest common factor of 201660 and 120?
60
Calculate the greatest common divisor of 468644 and 308.
44
What is the highest common divisor of 112 and 62839?
7
What is the highest common divisor of 1022 and 25354?
14
Calculate the greatest common factor of 27022 and 2519.
229
What is the highest common factor of 30 and 77565?
15
Calculate the highest common factor of 193314 and 7018.
638
What is the highest common divisor of 972 and 243?
243
What is the greatest common factor of 125 and 364275?
25
What is the highest common factor of 1320 and 55880?
440
What is the highest common divisor of 3020 and 13565?
5
What is the greatest common factor of 18249 and 9471?
231
What is the highest common factor of 3222 and 414?
18
Calculate the greatest common factor of 91564 and 264.
44
Calculate the greatest common factor of 90 and 6939.
9
Calculate the highest common divisor of 208964 and 476.
476
What is the highest common factor of 12 and 230116?
4
What is the highest common divisor of 39 and 3570151?
13
Calculate the greatest common factor of 4095 and 3094.
91
What is the greatest common factor of 44 and 1607188?
44
What is the highest common divisor of 312 and 138606?
78
What is the highest common divisor of 15875 and 1?
1
What is the greatest common divisor of 3772845 and 216?
27
Calculate the greatest common factor of 20 and 6340.
20
What is the greatest common factor of 1178 and 7448?
38
What is the highest common divisor of 712 and 75739?
89
Calculate the highest common divisor of 9774 and 135.
27
What is the highest common factor of 554879 and 52?
13
What is the highest common divisor of 48 and 904176?
48
What is the greatest common factor of 192 and 33504?
96
What is the greatest common divisor of 322 and 73255?
161
Calculate the highest common divisor of 90304 and 1360.
272
What is the highest common divisor of 2821 and 11648?
91
Calculate the greatest common divisor of 15000 and 7440.
120
What is the greatest common divisor of 1079892 and 2916?
972
Calculate the greatest common divisor of 16309 and 18391.
347
What is the highest common divisor of 3976 and 736?
8
Calculate the highest common factor of 329172 and 24.
12
What is the highest common divisor of 5150 and 618?
206
Calculate the greatest common divisor of 3638 and 7922.
34
What is the greatest common divisor of 8689065 and 105?
105
| {
"pile_set_name": "DM Mathematics"
} |
?
-0.00001
Let k(q) = q**3 + 27*q**2 + 15*q - 35. Let t(i) = -i - 45. Let o be t(-18). Let y be k(o). Let b = y - -182. What is b rounded to the nearest 10?
-260
Suppose -15 = -5*v + 5*s, -v = -5*v - 2*s + 30. Let b(z) = 7196641*z + 154. Let w be b(v). Round w to the nearest 1000000.
43000000
Suppose 3*m + 2*m = 25, -5*y + 3*m = 45. Let j be 0/(-2 - -4) - y. Let h be 80*524*(-375)/j. Round h to the nearest one hundred thousand.
-2600000
Let l(n) = -2589*n + 652. Let o be l(-10). What is o rounded to the nearest one thousand?
27000
Let j = 89.97 - 89.95657. What is j rounded to 2 dps?
0.01
Let b = -3228687 + 3228686.8180077. Let x = 44.818 + -45. Let a = b - x. What is a rounded to 6 decimal places?
0.000008
Let a = 973 + -973.449. Let q = 32.631 - a. Let z = q - 34. Round z to one dp.
-0.9
Let k(i) = -665001*i**2 + 2*i. Let g be -2*5/2 + 7. Let c be k(g). What is c rounded to the nearest one hundred thousand?
-2700000
Suppose -2*r + j - 93 = 4*j, -r = -3*j + 33. Let m be (-18 + r)*32/(-10). What is m rounded to the nearest ten?
190
Let w = -977 + 977.946. Let l = w - 1.64. What is l rounded to one dp?
-0.7
Suppose 9*z + 7*z - 63109 - 509691 = 0. Round z to the nearest ten thousand.
40000
Let l = -56.6 + -218.4. Let d = 43897 + -44170.09. Let g = d - l. Round g to the nearest integer.
2
Let s = 1464.7999991724 + -1464.8. What is s rounded to seven decimal places?
-0.0000008
Let n = -80582770 + 1915245. Let u = n + 78667853.99619. Let q = 329 - u. What is q rounded to 3 decimal places?
0.004
Let d = 277.912 + -278. Let i = 0.02551 + -0.11533. Let l = i - d. Round l to 4 decimal places.
-0.0018
Let u be (-2)/10*1 - 3264/(-320). Suppose u*x + 1545000 = 13*x. What is x rounded to the nearest one hundred thousand?
500000
Let y(x) = 559*x**3 - 29*x**2 + 75*x - 16. Suppose -b - 4*b - 111 = -3*i, 0 = -3*i - 5*b + 81. Let j be y(i). What is j rounded to the nearest 1000000?
18000000
Let j = -693811201 - -693811186.49999885. Let w = j - -14.5. Round w to seven decimal places.
-0.0000012
Let b = 4415.631215 + -0.031215. Round b to the nearest 10.
4420
Let p = 3899440 + -3899085.0223. Let a = -405 - -50. Let q = p + a. Round q to 3 dps.
-0.022
Let a = 0.28267 - -30.03533. What is a rounded to the nearest integer?
30
Suppose 5*z - z - 8 = 0. Let i be 4 - (z + -3 + -289). Let b = -604 + i. What is b rounded to the nearest 100?
-300
Let c = 0.2 + 27. Let w = 40.53668 + -13.33507. Let q = c - w. Round q to four decimal places.
-0.0016
Let n = -21467.000017143 + 21467. What is n rounded to seven decimal places?
-0.0000171
Let l = -1 + 1.022. Let i = -26.978 - l. Let p = 26.9999935 + i. Round p to six decimal places.
-0.000007
Let y = 13133 - 13095.372. What is y rounded to the nearest 10?
40
Let k = -13033 - -13032.996102. What is k rounded to four decimal places?
-0.0039
Let l = 870 + -92. Let q = -777.597 + l. Round q to two dps.
0.4
Suppose 25 = 3*l + 2*l - 5*n, -5*l = -n - 33. Suppose 0 = l*t + 686 + 3864. Let s be (-3)/(3 - -9)*t*-12. Round s to the nearest 100.
-2000
Let p = 410493.44 - 410208.471685. Let b = p + -285.07. Let s = -0.102 - b. What is s rounded to five decimal places?
-0.00032
Suppose -221*s - 3359787 = 8*s + 8068916. Round s to the nearest 10000.
-50000
Let q = 34 - 33.986. Let z = -0.026 - q. Let l = z + -1.19. Round l to 1 decimal place.
-1.2
Let m = 0.6983 + -0.698344204. What is m rounded to 7 decimal places?
-0.0000442
Let y = 4.044634 - 4.038. What is y rounded to 4 dps?
0.0066
Let g = -33933.321 - -33951. Let b = 1.659 - g. Round b to the nearest integer.
-16
Suppose -4*h - 2 = 10, 0 = 2*p + 4*h + 6. Suppose p*z + 0*z + m = -14943, -3*z - 14937 = -m. Round z to the nearest one hundred.
-5000
Let f = -5735.88 - -12373.69. Let h = -6679 + f. What is h rounded to the nearest integer?
-41
Let v(f) = 4*f**3 - 23*f**2 - 9*f + 28. Let q(o) = 13*o**3 - 69*o**2 - 26*o + 85. Let w(d) = -2*q(d) + 7*v(d). Let y be w(18). Round y to the nearest 1000.
4000
Suppose -3*y - 12 = -2*y + 5*o, 5*y - 2*o + 6 = 0. Let l(x) = 11*x**2 - 15*x**2 + 905 + 2*x - 4*x - 905 + 1361*x**3. Let q be l(y). Round q to the nearest 1000.
-11000
Let b = -3017 - -1779. Let i = 21639 + -20460.3. Let u = b + i. Round u to the nearest integer.
-59
Let l = 88.85 + 0.15. Let u = l + -154. Let z = -65.05 - u. What is z rounded to 2 decimal places?
-0.05
Let p = -5619.6 + 6454. What is p rounded to the nearest 10?
830
Let q = -42333 + 42333.0049814. Round q to three decimal places.
0.005
Let b = -14568 - -14568.000050395. What is b rounded to five dps?
0.00005
Let n = 75081850 - -4208150. What is n rounded to the nearest one million?
79000000
Let c = -263.9691 + -0.0309. Let s = 273.26 + c. Round s to 0 dps.
9
Let m = 74113 - 74113.0054559. What is m rounded to four dps?
-0.0055
Let m = -28 + 70. Let h(g) = m*g + 13*g**2 + 3247*g**3 - 7 - 14*g + 23. Let a be h(-23). Round a to the nearest 1000000.
-40000000
Let h = -50627.99999977339 - -50628. What is h rounded to 7 decimal places?
0.0000002
Let c = 8.5 + -153.5. Let p = c + 144.615. What is p rounded to 1 dp?
-0.4
Let c = -23479.405 - -23492. What is c rounded to one dp?
12.6
Let l = -1529.9059 + 1530. Let f = l - 0.093351. What is f rounded to 5 decimal places?
0.00075
Let x = 86903 - 45332. Round x to the nearest ten thousand.
40000
Suppose -2*i - 51*r + 52*r = -12, 32 = 3*i - 5*r. Suppose i*q - 15340000 = v, -3835000 = -5*q + 4*q - 5*v. What is q rounded to the nearest one million?
4000000
Let u = -39429.9999915052 - -39430. What is u rounded to seven decimal places?
0.0000085
Let w = -58 + 104. Let i = -38 + w. Suppose 6314 = i*p - 15*p. What is p rounded to the nearest 100?
-900
Let q = -38293.37 - -38137. What is q rounded to the nearest 10?
-160
Let c = -5152 + 10119. Round c to the nearest 1000.
5000
Suppose 3*y = t + 81305, -5*t = -4*y + 261016 + 145564. Round t to the nearest 1000.
-81000
Let q(l) be the second derivative of l**5/20 - 17*l**4/12 + 13*l**3/3 + 31*l**2/2 + 19*l + 3. Let v be q(14). What is v rounded to the nearest 10?
-190
Let p = -29911784023.899999447 - -29911784339.9. Let c = 316 - p. Round c to 7 decimal places.
-0.0000006
Let q(y) = -659981*y + 55. Let a(x) = -329991*x + 27. Let c(t) = -7*a(t) + 3*q(t). Let b be c(-4). Round b to the nearest 100000.
-1300000
Let u = -1.9 - -45.9. Let o = u - 44.06. Let w = -0.0533 - o. Round w to 3 decimal places.
0.007
Let b(l) = 6728*l - 10. Let t(r) = -2243*r + 4. Let h(w) = -6*b(w) - 17*t(w). Let d be h(16). What is d rounded to the nearest 1000?
-36000
Let x = -990803 - -1106838.6. Let p = x + -115991.60152. Let a = p - 44. Round a to four decimal places.
-0.0015
Let t = -367512 - -36618. Let l = 330885.50005 + t. Let p = -8.5 - l. What is p rounded to three decimal places?
0
Let m = -6596.9999984548 - -6597. What is m rounded to 7 dps?
0.0000015
Let r = -1283.974 - -4009.881. Let t = r - 2727. What is t rounded to 1 dp?
-1.1
Let z = -0.00774 - -0.007754355. Round z to 7 dps.
0.0000144
Let o = 214 - 191. Suppose o*v - 21*v + 222400 = 0. Round v to the nearest ten thousand.
-110000
Let w = -14.1763473 + 14.177. What is w rounded to four decimal places?
0.0007
Let m(t) = -60*t**2 - 34*t - 62. Let h(a) = 181*a**2 + 104*a + 186. Let q(d) = -2*h(d) - 7*m(d). Let k be q(-14). Round k to the nearest 1000.
11000
Suppose 0 = 27*b - 2037 - 15945. Let t = b + -497. What is t rounded to the nearest ten?
170
Let i = 0.0608 - -9.9392. Let w = -11.86 + i. What is w rounded to 1 decimal place?
-1.9
Let g = 2.025 + -2.3. Let i = g - 0.069. Let b = -0.761 - i. Round b to two dps.
-0.42
Suppose 3*i - 28 + 10 = 2*y, -5*y = -3*i + 36. Let p be (112/y)/(((-42)/(-48150))/(-7)). What is p rounded to the nearest ten thousand?
150000
Let k = 497.00013004 + -497. Round k to 5 dps.
0.00013
Let t = 2834 + -2622.55. Let m = -205 + t. Round m to 0 decimal places.
6
Let x = 0.0192 + -0.1192. Let h = 1193.89934 - 1194. Let v = x - h. What is v rounded to 4 dps?
0.0007
Let f(h) = -1396*h + 51. Let m be f(5). Let r = -47709 - m. What is r rounded to the nearest 1000?
-41000
Let n = -86 + 87.36. Let t = -0.36 + n. Let s = t - 1.65. Round s to one dp.
-0.7
Let l = 106612 - 106014.99. Round l to the nearest 100.
600
Let h = -14162 + 14163.99904. Let i = -2 + 4. Let o = h - i. Round o to 4 dec | {
"pile_set_name": "DM Mathematics"
} |
ppose -k = -n*k + 450. Calculate the highest common factor of k and m.
9
Let t be (5/15)/(1/3). Calculate the greatest common factor of 5 and t.
1
Let u = 0 - -4. Calculate the greatest common factor of 32 and u.
4
Let x be (-1)/2 + 82/4. Let s = 18 - 13. Suppose -24 = -s*d + p + 3, 0 = 3*p + 6. What is the highest common factor of d and x?
5
Let s = 3 - 3. Suppose s*g - 4*l = 5*g, -5*l = 0. Let f be 0/(g + 2) - -36. Calculate the highest common factor of 4 and f.
4
Let m(f) = -7*f + 5. Let s(j) = j. Let t(h) = -m(h) - 4*s(h). Let k be t(5). Calculate the greatest common divisor of 15 and k.
5
Let m = -12 + 24. What is the highest common divisor of 8 and m?
4
Let z(u) = u**2 - 8*u + 2. Let p be z(9). What is the highest common factor of p and 1?
1
Let l(i) = 3*i. Let x be l(1). Suppose 5*j - 2*h + 78 = 0, h = 2*j - 3*j - 10. Let a = j + 26. What is the greatest common divisor of x and a?
3
Suppose 3*l + 4*v = 2*l, 0 = 5*l - 3*v - 23. Let i = 162 - 39. Suppose 5*p + 3 = i. What is the highest common factor of l and p?
4
Let z = 4 + 6. What is the greatest common divisor of z and 5?
5
Suppose -w = -47 - 97. Calculate the greatest common factor of 18 and w.
18
Let v = -11 - -25. Let m(i) = -15*i - 15. Let d be m(-9). Let y = d - 64. What is the greatest common factor of y and v?
14
Let f be 4 - ((-6)/(-2) - (21 - -12)). Calculate the highest common factor of 119 and f.
17
Let k be ((-17)/(952/240))/(3/(-14)). Suppose -c = t - 20, 2*t = -4*c - c + 100. What is the greatest common divisor of c and k?
20
Let c = 167 + -157. What is the greatest common factor of c and 230?
10
Suppose 0 = -7*y + 3*y + 84. Calculate the highest common factor of y and 14.
7
Let i(l) = 17*l. Let m be i(1). Let s be (-34)/(-8)*(-204)/(-17). Calculate the greatest common factor of m and s.
17
Let x = -203 - -320. Suppose -4*c + c + x = 0. What is the greatest common factor of 13 and c?
13
Let a(b) = -2*b**3 + 6*b**2 + 4*b - 10. Let n be a(3). What is the greatest common divisor of 2 and n?
2
Let v be -2 - 5/(5/2). Let n be (150/9)/(v/(-6)). What is the highest common divisor of n and 5?
5
Let a(g) = g**2 + 10*g - 3. Let i be a(5). What is the highest common factor of i and 36?
36
Suppose -2*b = q - 31, 5*q - 53 + 2 = -2*b. Let w = -85 - -150. Calculate the greatest common divisor of w and b.
13
Let j = -1 - -1. Let g be (6 - 23)*(j + 2). Let m = g + 47. Calculate the highest common divisor of m and 104.
13
Suppose z - 5 = 1. Suppose 2*h - 3 - 27 = 0. Suppose h = 5*i, -4*b - 3*i + 15 = -3*b. What is the highest common divisor of z and b?
6
Let y(n) = 1 + 0*n - n - 2 + 3. Let q be y(-2). What is the highest common divisor of q and 2?
2
Let p = -3 - -13. Let k = -30 - -55. Calculate the highest common divisor of p and k.
5
Suppose 0 = -2*g - 6, 71 = 5*l - 3*g - 88. What is the greatest common factor of l and 120?
30
Let a(y) = y**2 + 2*y - 5. Let d be a(-4). Let f(x) = x**3 + 3*x**2 + x - 1. Let o be f(d). What is the highest common factor of o and 84?
28
Suppose -3 = 3*u - 2*a - 33, u = -4*a - 4. Let k = 7 + u. Calculate the greatest common divisor of 10 and k.
5
Suppose -3*r = 2*r - 25. Calculate the highest common factor of r and 55.
5
Let q be 3/2*(34 + 0). What is the greatest common factor of q and 17?
17
Suppose k = 3*k - 10. Let d be (1 + 1)/(14/(-259)). Let t = -22 - d. What is the highest common divisor of t and k?
5
Let g be ((-9)/(-6) + -2)*-8. Suppose -x = -g*z - 172, 0*z - 5*z = 5*x - 785. Let w be 6*((-80)/6)/(-4). Calculate the greatest common factor of w and x.
20
Let q be (-1 + (0 - -1))/(-2). Let y be q - -37 - (-6)/(-3). What is the highest common factor of 7 and y?
7
Let k(y) = -3*y**3 - 2*y**2 + 1. Let x be k(-1). Suppose -2 - 2 = -x*u. Let n be (-9 - 3)*u/(-3). Calculate the highest common factor of n and 16.
8
Suppose -2*l + l - 2*r + 4 = 0, -2*l - r + 2 = 0. Suppose l = y - 3*y + 8. Let s be 2/((-4)/2)*-10. What is the highest common factor of s and y?
2
Suppose -4*n + 2*x = -60, 5*n + 3*x - 14 - 50 = 0. What is the greatest common factor of n and 126?
14
Let w(h) = -10*h - 24. Let n be w(-4). Suppose l + 80 = 2*l. Calculate the highest common factor of l and n.
16
Suppose 0 = 5*u - 19 - 21. Let m be (12 + 4)*5/4. What is the greatest common divisor of u and m?
4
Suppose -4*g = -k + 27, -k - g = -4*k + 37. What is the highest common factor of k and 121?
11
Let o be (-448)/(-10) + 8/40. What is the highest common divisor of 9 and o?
9
Suppose 4*x = -0*x + 80. Let b(y) = y**2 - 10*y + 21. Let h be b(8). Calculate the highest common divisor of x and h.
5
Suppose 390 = 12*y - 2*y. What is the greatest common divisor of 13 and y?
13
Let r(i) = 5*i - 2*i**3 - 8*i**2 + i**3 + 3*i + 8. Let v be r(-7). Let t = -27 - v. Calculate the highest common factor of 28 and t.
14
Let m(o) = 4*o - 60. Let n be m(16). Let q(k) = 2*k**2 + 8*k + 4. Let u be q(-6). Calculate the greatest common divisor of u and n.
4
Let v = -19 + 26. Let a(l) = -62*l**3 + l**2. Let t be a(-1). Calculate the greatest common factor of v and t.
7
Let t = 36 + -28. Suppose -24 = -4*p + t. Calculate the greatest common factor of 88 and p.
8
Let b be 10 - (4 - (1 - -1)). Let g be (-3 - 20/(-15))/(5/(-60)). Calculate the greatest common factor of b and g.
4
Let t = 0 - 0. Suppose x + 0*x - 12 = t. Calculate the highest common divisor of 108 and x.
12
Let l(o) = -o**3 - 4*o**2 + 7*o - 6. Let h be l(-6). What is the highest common factor of 216 and h?
24
Suppose k = -1, 26 = 3*c - 5*k - 15. Suppose l - 2*i - 144 = -5*i, -2*l = 4*i - 280. What is the greatest common factor of l and c?
12
Let z = 1 - 1. Let a be z/3 - (-30)/2. Let d = -6 - -9. What is the greatest common factor of d and a?
3
Suppose p - 18 = 73. What is the greatest common factor of 13 and p?
13
Suppose -83 = -5*a + 112. Suppose -4*t + 46 + 58 = 0. Calculate the greatest common divisor of t and a.
13
Let y(u) = 29*u - 1. Let f be y(1). Suppose c + 2*g = f, -4*g = -5*c + 51 + 47. Calculate the highest common factor of 11 and c.
11
Let v = -4 + 6. Suppose r + v*r - 423 = 0. Let g be r/21 - 2/(-7). What is the highest common divisor of 1 and g?
1
Let v(r) = 2*r**2 - r - 4. Let j be 1 + (-4)/6*-3. Let k be v(j). What is the highest common factor of 1 and k?
1
Suppose 0 = p - 2*v - 18, 0*p + 3*p - 50 = 5*v. What is the greatest common divisor of p and 10?
10
Suppose 5*l = 52 + 308. Suppose l = o + o. Calculate the greatest common divisor of o and 4.
4
Let j be ((-25)/15)/(25/(-90)). Calculate the greatest common divisor of j and 6.
6
Let z = 77 - 63. Suppose -5*n = -4*c - 4, -4*n + n = -12. Suppose -4*t - 4 = 0, 6 = v - c*t - 12. Calculate the greatest common factor of v and z.
14
Suppose 8*o - 182 = -5*o. Let n(r) = 11*r**2 - 5*r - 2. Let g be n(-3). Suppose p = -p + g. What is the highest common divisor of o and p?
14
Let i be -1 + 21 - (-4 - -6). Let b be (i/4)/(1/10). What is the highest common divisor of 30 and b?
15
Suppose 6*g - 6 = 5*g. Let d be ((-9)/g)/((-1)/12). Let u(l) = -l**3 + 4*l**2 + 3*l. Let k be u(4). What is the highest common factor of k and d?
6
Let n(x) = -5 - 2*x + 5 + x**2. Let l be n(6). Calculate the highest common divisor of 8 and l.
8
Let d(o) = o + 2. Let h be d(7). Suppose -5*c = h - 39. Let i be (-86)/(-10) - 4/(-10). Calculate the highest common factor of c and i.
3
Let a be 1*(9 + -2) - 2. Let f(g) = g - 7. Let b be f(a). Let x be ((-1)/b)/(5/540). What is the greatest common divisor of 6 and x?
6
Let g be (666/(-6))/(2/6). Let d = -189 - g. What is the highest common divisor of d and 16?
16
Suppose d - 25 = -4*d, 4*d = 4*b + 40. Let i be b + 2 - (-20 + 1). Let p be (4 + -2)/((-2)/(-8)). What is the greatest common divisor of i and p?
8
Let d = -7 + 3. Let p(g) = -g**3 - 4*g**2 - 5*g - 6. Let f be p(d). Suppose -56 = -y - 2*l, 2*y - 3*l - 116 = -4. What is the highest common divisor of y and f?
14
Suppose -3*l = -5*l + 8. Suppose -5*h + 5*k + 20 = 0, 0 = l*k - 1 - 15. Calculate the greatest common factor of 1 and h.
1
Suppose 4*g = 4*q + 48, 6*g + 3*q = 5*g. What is the greatest common factor of 90 and g?
9
Let q be ((-52)/(-3))/4 - 9/27. Suppose 2*s - 23 = 41. What is the greatest common divisor of s and q?
4
Let a be ((-13)/(-2))/(6/12). What is the highest common factor of a and 143?
13
Suppose -6*m | {
"pile_set_name": "DM Mathematics"
} |
35, -973?
-5*t**3 + 32*t**2 - 119*t + 7
What is the y'th term of 58713523, 117427053, 176140597, 234854161, 293567751?
y**3 + y**2 + 58713520*y + 1
What is the q'th term of -23605566, -47211135, -70816704, -94422273, -118027842?
-23605569*q + 3
What is the f'th term of 357017, 359169, 361321, 363473, 365625?
2152*f + 354865
What is the s'th term of -5500485, -5500494, -5500503, -5500512, -5500521?
-9*s - 5500476
What is the u'th term of -21393152, -21393153, -21393154, -21393155, -21393156?
-u - 21393151
What is the q'th term of -941, -1952, -2939, -3878, -4745, -5516?
4*q**3 - 12*q**2 - 1003*q + 70
What is the z'th term of 625688, 625727, 625764, 625799?
-z**2 + 42*z + 625647
What is the l'th term of -42677, -44801, -46925?
-2124*l - 40553
What is the x'th term of 22822285, 45644562, 68466839?
22822277*x + 8
What is the n'th term of 118212, 472869, 1063972, 1891527, 2955540?
n**3 + 118217*n**2 - n - 5
What is the k'th term of 622760, 622764, 622762, 622748, 622716?
-k**3 + 3*k**2 + 2*k + 622756
What is the q'th term of 496422, 1985705, 4467848, 7942851, 12410714?
496430*q**2 - 7*q - 1
What is the x'th term of -632, -1110, -1710, -2432, -3276, -4242, -5330?
-61*x**2 - 295*x - 276
What is the y'th term of -306645, -1226605, -2759889, -4906503, -7666453?
-y**3 - 306656*y**2 + 15*y - 3
What is the f'th term of -10573, -15859, -21145, -26431?
-5286*f - 5287
What is the o'th term of 916, 3607, 8088, 14359, 22420?
895*o**2 + 6*o + 15
What is the d'th term of 10591785, 10591784, 10591783, 10591782, 10591781, 10591780?
-d + 10591786
What is the g'th term of 4790, 3678, 2566?
-1112*g + 5902
What is the y'th term of 81463, 162919, 244371, 325819, 407263, 488703, 570139?
-2*y**2 + 81462*y + 3
What is the w'th term of 1944, 7907, 17850, 31773, 49676?
1990*w**2 - 7*w - 39
What is the d'th term of -812, -386, 30, 436?
-5*d**2 + 441*d - 1248
What is the v'th term of -434931, -869864, -1304797, -1739730?
-434933*v + 2
What is the t'th term of 3253, 7784, 15341, 25930, 39557, 56228, 75949?
t**3 + 1507*t**2 + 3*t + 1742
What is the d'th term of -1575, -1632, -1671, -1680, -1647, -1560, -1407, -1176?
2*d**3 - 3*d**2 - 62*d - 1512
What is the d'th term of 13424, 25529, 37634, 49739, 61844, 73949?
12105*d + 1319
What is the t'th term of -1040, -3445, -7376, -12827, -19792, -28265, -38240, -49711?
t**3 - 769*t**2 - 105*t - 167
What is the q'th term of 1679, 3007, 4313, 5597, 6859, 8099?
-11*q**2 + 1361*q + 329
What is the i'th term of -458, -1155, -2204, -3605, -5358, -7463, -9920?
-176*i**2 - 169*i - 113
What is the p'th term of -1364914, -1364923, -1364934, -1364947, -1364962?
-p**2 - 6*p - 1364907
What is the j'th term of -19, -80, -191, -358, -587, -884, -1255?
-j**3 - 19*j**2 + 3*j - 2
What is the f'th term of 6664, 12855, 19046, 25237, 31428, 37619?
6191*f + 473
What is the l'th term of 50813, 101712, 152693, 203756?
41*l**2 + 50776*l - 4
What is the c'th term of 224007, 223659, 223311?
-348*c + 224355
What is the x'th term of -55720361, -111440734, -167161109, -222881486, -278601865, -334322246, -390042629?
-x**2 - 55720370*x + 10
What is the a'th term of 1265, 2734, 4301, 5966, 7729, 9590, 11549?
49*a**2 + 1322*a - 106
What is the u'th term of -2390, -3831, -4350, -3947, -2622?
461*u**2 - 2824*u - 27
What is the n'th term of 68336, 68068, 67800?
-268*n + 68604
What is the o'th term of 1659, 3290, 4911, 6522, 8123, 9714, 11295?
-5*o**2 + 1646*o + 18
What is the w'th term of 5476, 21694, 48658, 86368, 134824, 194026, 263974?
5373*w**2 + 99*w + 4
What is the v'th term of 123328, 123317, 123306?
-11*v + 123339
What is the o'th term of 89770, 358818, 807174, 1434838, 2241810, 3228090, 4393678?
89654*o**2 + 86*o + 30
What is the z'th term of 671, 815, 927, 1013, 1079, 1131, 1175?
z**3 - 22*z**2 + 203*z + 489
What is the o'th term of -798952, -1597903, -2396854, -3195805?
-798951*o - 1
What is the z'th term of -9652, -38175, -85572, -151843, -236988, -341007, -463900?
-9437*z**2 - 212*z - 3
What is the i'th term of -2576113, -2576136, -2576177, -2576242, -2576337, -2576468?
-i**3 - 3*i**2 - 7*i - 2576102
What is the m'th term of -406276, -812450, -1218624, -1624798, -2030972, -2437146?
-406174*m - 102
What is the s'th term of -429499, -1717951, -3865371, -6871759, -10737115?
-429484*s**2 - 15
What is the r'th term of 90722, 89267, 87812, 86357, 84902, 83447?
-1455*r + 92177
What is the t'th term of -18249991, -18249955, -18249919, -18249883, -18249847, -18249811?
36*t - 18250027
What is the d'th term of -1641, -3686, -5997, -8706, -11945, -15846?
-22*d**3 - d**2 - 1888*d + 270
What is the n'th term of 246618, 493273, 739892, 986457, 1232950?
-3*n**3 + 246676*n - 55
What is the t'th term of -189, -1899, -6531, -15549, -30417, -52599, -83559, -124761?
-244*t**3 + 3*t**2 - 11*t + 63
What is the z'th term of 4554846, 4554837, 4554826, 4554813?
-z**2 - 6*z + 4554853
What is the h'th term of -272460, -278088, -283716, -289344?
-5628*h - 266832
What is the h'th term of -75727, -151929, -228131, -304333, -380535?
-76202*h + 475
What is the g'th term of -1591, -7169, -16467, -29485, -46223, -66681, -90859?
-1860*g**2 + 2*g + 267
What is the q'th term of 12921, 21490, 30059, 38628, 47197?
8569*q + 4352
What is the x'th term of 725955, 1451888, 2177821, 2903754, 3629687, 4355620?
725933*x + 22
What is the z'th term of 238237, 239300, 240363, 241426, 242489?
1063*z + 237174
What is the t'th term of 1597, 12060, 40437, 95686, 186765?
1493*t**3 - t**2 + 15*t + 90
What is the g'th term of -908990, -1816855, -2724718, -3632579?
g**2 - 907868*g - 1123
What is the a'th term of 446, 784, 1390, 2264, 3406, 4816, 6494?
134*a**2 - 64*a + 376
What is the q'th term of -27710, -27322, -26666, -25736, -24526, -23030, -21242?
q**3 + 128*q**2 - 3*q - 27836
What is the q'th term of 12003, 23529, 35043, 46539, 58011, 69453, 80859?
-q**3 + 11533*q + 471
What is the i'th term of -246307, -985340, -2217055, -3941452, -6158531?
-246341*i**2 - 10*i + 44
What is the p'th term of -11425, -90145, -303815, -719911, -1405909, -2429285, -3857515?
-11246*p**3 + p**2 - p - 179
What is the x'th term of -116639, -233013, -349339, -465617, -581847?
24*x**2 - 116446*x - 217
What is the o'th term of -276840, -553714, -830614, -1107540, -1384492?
-13*o**2 - 276835*o + 8
What is the h'th term of -17005268, -34010538, -51015808, -68021078, -85026348, -102031618?
-17005270*h + 2
What is the k'th term of -6578, -19489, -32398, -45305, -58210, -71113?
k**2 - 12914*k + 6335
What is the u'th term of -534987, -1069976, -1604955, -2139918, -2674859?
u**3 - u**2 - 534993*u + 6
What is the v'th term of -4702, -9417, -14124, -18805, -23442?
3*v**3 - 14*v**2 - 4694*v + 3
What is the a'th term of 1412, 6236, 14278, 25544, 40040?
a**3 + 1603*a**2 + 8*a - 200
What is the h'th term of 2434, 9681, 21760, 38671?
2416*h**2 - h + 19
What is the j'th term of -17724, -15696, -13666, -11634, -9600, -7564, -5526?
j**2 + 2025*j - 19750
What is the x'th term of 54485, 102325, 150153, 197963, 245749, 293505, 341225?
-x**3 + 47847*x + 6639
What is the c'th term of 618613, 1237177, 1855741, 2474305, 3092869, 3711433?
618564*c + 49
What is the x'th term of 105129527, 210259059, 315388591?
105129532*x - 5
What is the u'th term of -16036, -64540, -145516, -258964, -404884, -583276, -794140?
-16236*u**2 + 204*u - 4
What is the y'th term of 32807127, 65614252, 98421377?
32807125*y + 2
What is the d'th term of 32478, 132387, 298902, 532023, 831750?
33303*d**2 - 825
What is the d'th term of 15965, 32540, 49727, 67526, 85937, 104960?
306*d**2 + 15657*d + 2
What is the p'th term of 4970132, 4970154, 4970190, 4970240, 4970304?
7*p**2 + p + 4970124
What is the q'th term of 15452, 30559, 45666, 60773, 75880?
15107*q + 345
What is the g'th term of -199556, -199555, -199554, -199553?
g - 199557
What is the p'th term of -110691, -221373, -332055, -442737, -553419, -664101?
-110682*p - 9
What is the s'th term of -17076, -33395, -49606, -65709, -81704?
54*s**2 - 16481*s - 649
What is the y'th term of -383, -2334, -7083, -15860, -29895, -50418, -78659, -115848?
-205*y**3 - 169*y**2 - 9*y
What is the r'th term of -104, -206, -306, -410, -524, -654?
-r**3 + 7*r**2 - 116*r + 6
What is the j'th term of -285158, -1140623, -2566400, -4562489, -7128890?
-285156 | {
"pile_set_name": "DM Mathematics"
} |