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Divide -152 by 38.
-4
Divide -8832 by 368.
-24
-25 divided by 5
-5
What is -52 divided by -39?
4/3
What is -1 divided by 305?
-1/305
Calculate 300 divided by -6.
-50
-5 divided by 19
-5/19
-1332 divided by -111
12
Calculate -77 divided by -77.
1
Divide 146 by -42.
-73/21
-482 divided by 14
-241/7
-2 divided by -180
1/90
Calculate 76 divided by -13.
-76/13
What is -6 divided by -121?
6/121
Divide -2 by 63.
-2/63
Calculate 20916 divided by -6972.
-3
What is 0 divided by 3?
0
1350 divided by -5
-270
-1 divided by 154
-1/154
392 divided by -7
-56
Calculate 71 divided by 24.
71/24
-1 divided by 6
-1/6
Divide 162 by -6.
-27
-110 divided by 5
-22
Calculate 14 divided by -455.
-2/65
Divide 0 by 98.
0
Calculate 4110 divided by 5.
822
Calculate 1 divided by 662.
1/662
Calculate -968 divided by -44.
22
What is 6 divided by -696?
-1/116
Calculate 475 divided by 1.
475
62 divided by 16
31/8
Divide 13 by 68.
13/68
Calculate -217 divided by -5.
217/5
Calculate -31 divided by -2.
31/2
What is 3 divided by 59?
3/59
959 divided by -7
-137
Divide -8168 by 4.
-2042
What is 143 divided by 2?
143/2
What is 4788 divided by -38?
-126
1 divided by 1706
1/1706
What is 4 divided by 85?
4/85
Divide 2400 by -150.
-16
What is 11 divided by -194?
-11/194
Divide -290 by -5.
58
Calculate 3342 divided by -3.
-1114
-1396 divided by -698
2
Calculate 2368 divided by -16.
-148
540 divided by -18
-30
What is -3 divided by 222?
-1/74
Calculate -838 divided by -2.
419
Divide -2 by 1297.
-2/1297
6988 divided by -2
-3494
Calculate 1 divided by -1644.
-1/1644
What is -4 divided by -13?
4/13
Calculate 288 divided by -288.
-1
29183 divided by 6
29183/6
What is -2022 divided by 2?
-1011
Calculate 819 divided by -13.
-63
What is -4770 divided by 954?
-5
Divide -5 by -5.
1
21 divided by -35
-3/5
Calculate -4 divided by -23.
4/23
What is 9114 divided by -6?
-1519
What is 7490 divided by 5?
1498
Calculate -839 divided by 1.
-839
Divide 3601 by -3.
-3601/3
What is 4 divided by 562?
2/281
12 divided by 61
12/61
50 divided by 1
50
Divide 60 by 42.
10/7
Divide 2340 by -13.
-180
Calculate 836 divided by -44.
-19
What is -575 divided by -115?
5
-305 divided by -61
5
Divide 9 by -75.
-3/25
Divide 1400 by -100.
-14
What is 24 divided by 102?
4/17
Calculate -2 divided by -91.
2/91
Calculate 0 divided by 1061.
0
Calculate 1 divided by -20.
-1/20
Calculate -26 divided by -35.
26/35
What is -445 divided by -5?
89
Calculate 170 divided by -34.
-5
Calculate 0 divided by 70.
0
3 divided by -181
-3/181
5 divided by -127
-5/127
Divide 132 by -63.
-44/21
Divide 40 by -8.
-5
What is -1943 divided by 29?
-67
Calculate -145 divided by 29.
-5
8 divided by 4
2
1693 divided by 1693
1
What is -17832 divided by 4?
-4458
531 divided by -28
-531/28
-440 divided by -11
40
What is 14 divided by 67?
14/67
Calculate -36 divided by 9.
-4
-3 divided by -284
3/284
Calculate -1033 divided by 1033.
-1
Calculate 3028 divided by -1514.
-2
Divide 5824 by 8.
728
What is 320 divided by -20?
-16
Calculate 22 divided by -28.
-11/14
Divide -4 by -38.
2/19
What is -2055 divided by -5?
411
Calculate -2502 divided by 278.
-9
Divide -470 by 14.
-235/7
20990 divided by -1
-20990
0 divided by -10
0
1160 divided by 8
145
Divide -44 by -200.
11/50
62106 divided by 6
10351
Divide -1 by 22.
-1/22
-2878 divided by -2
1439
Divide 208 by 13.
16
780 divided by 65
12
Divide -22390 by -5.
4478
Divide 0 by -19.
0
146 divided by -1
-146
What is 230 divided by 46?
5
7 divided by -188
-7/188
Divide -9084 by -4542.
2
Calculate 2900 divided by -580.
-5
Calculate -2 divided by 31.
-2/31
Calculate -102 divided by -6.
17
Divide 0 by -56.
0
360 divided by 120
3
What is -12948 divided by -249?
52
What is -9065 divided by 7?
-1295
Calculate -1151 divided by 1151.
-1
What is -564 divided by -94?
6
Calculate -29 divided by -264.
29/264
What is 11 divided by -53?
-11/53
What is -78 divided by -2?
39
Calculate -63 divided by -36.
7/4
Divide -3 by 163.
-3/163
What is -567 divided by -7?
81
What is -5402 divided by 74?
-73
19938 divided by 3323
6
1 divided by -76
-1/76
-59 divided by -1
59
What is -22 divided by 2?
-11
What is -21760 divided by -5?
4352
What is -5064 divided by -633?
8
Calculate 145 divided by -6.
-145/6
-125 divided by -5
25
Calculate 33 divided by 7.
33/7
-1565 divided by -313
5
Divide 7884 by -36.
-219
What is 162 divided by -1?
-162
What is 3 divided by 81?
1/27
34578 divided by 5763
6
154 divided by 11
14
What is 561 divided by 51?
11
1168 divided by 4
292
Calculate 58 divided by 29.
2
Divide -78 by 39.
-2
-426 divided by 213
-2
34 divided by 6
17/3
-2420 divided by -605
4
Divide 51980 by 46.
1130
What is 147 divided by 49?
3
What is 250 divided by 5?
50
-8677 divided by 2
-8677/2
What is 342 divided by -3?
-114
Calculate 29 divided by -794.
-29/794
Calculate 2 divided by -1615.
-2/1615
Divide -3 by 1410.
-1/470
808 divided by 11
808/11
What is -5936 divided by 7?
-848
Calculate -6 divided by -13.
6/13
2 divided by 284
1/142
6972 divided by 4
1743
What is -2850 divided by -6?
475
Divide -912 by 228.
-4
-8 divided by 2
-4
Calculate 202 divided by -1.
-202
-873 divided by 97
-9
What is -31971 divided by 4?
-31971/4
Calculate -924 divided by 7.
-132
Divide 2592 by 16.
162
-99 divided by 5
-99/5
What is -22232 divided by 1588?
-14
350 divided by -4
-175/2
Calculate -3285 divided by 15.
-219
Divide 2 by 46.
1/23
Calculate 2310 divided by -165.
-14
What is 2 divided by 2169?
2/2169
-11 divided by 11
-1
What is -10 divided by -20?
1/2
-184 divided by -92
2
What is 129 divided by -43?
-3
Calculate 754 divided by -2.
-377
What is 638 divided by -319?
-2
Divide -4 by 69.
-4/69
-15 divided by -141
5/47
Calculate -26 divided by -13.
2
1020 divided by 5
204
0 divided by 22
0
What is 6450 divided by 50?
129
9 divided by 116
9/116
-1050 divided by -210
5
What is -17 divided by -30?
17/30
Divide 4459 by 637.
7
Calculate 906 divided by -1.
-906
What is 9 divided by -88?
-9/88
Divide 2660 by -2.
-1330
1 divided by -117
-1/117
What is -552 divided by 3?
-184
What is 2 divided by 2?
1
Divide 128 by 1.
128
Divide -305 by -5.
61
Divide 17640 by -49.
-360
What is 88 divided by -2?
-44
Divide -114 by 19.
-6
343 divided by 2
343/2
What is -14352 divided by 3?
-4784
1290 divided by 5
258
Calculate -35 divided by 7.
-5
Calculate 108 divided by -54.
-2
What is 1246 divided by 2?
623
What is -2246 divided by -2?
1123
Divide 607 by -3.
-607/3
-5 divided by -1781
5/1781
What is -4 divided by -3395?
4/3395
Calculate -917 divided by -6.
917/6
What is -24 divided by -14?
12/7
-2 divided by -61
2/61
Calculate 365 divided by -5.
-73
Divide 1326 by 442.
3
What is 270 divided by 1?
270
What is 28 divided by 28?
1
Calculate -342 divided by 19.
-18
Calculate -5 divided by -313.
5/313
-5 divided by -105
1/21
What is 29 divided by -5?
-29/5
What is 80 divided by 4?
20
Calculate 3 divided by 106.
3/106
Divide 2656 by -4.
-664
Divide -48 by 12.
-4
Divide 81 by 26.
81/26
178 divided by -9
-178/9
Calculate 10 divided by 38.
5/19
2 divided by 4955
2/4955
Calculate 6308 divided by 4.
1577
Divide -1050 by -6.
175
Divide -4 by -19.
4/19
690 divided by 6
115
Calculate 0 divided by 35.
0
Divide -24 by 343.
-24/343
Divide 38 by -21.
-38/21
Calculate -8 divided by -312.
1/39
What is -1703 divided by -12?
1703/12
Calculate -800 divided by -160.
5
Divide 696 by -1.
-696
Calculate 2 divided by 4368.
1/2184
Divide 396 by -66.
-6
Divide -279 by 69.
-93/23
-5332 divided by 86
-62
Divide -4654 by -13.
358
Calculate 6 divided by -346.
-3/173
Divide 1244 by 2.
622
What is 208 divided by -2?
-104
Calculate 1097 divided by 4.
1097/4
What is 72 divided by -36?
-2
What is -1106 divided by 1106?
-1
-16 divided by 3
-16/3
Divide -5040 by 14.
-360
Calculate -69 divided by 1.
-69
What is 46 divided by 1?
46
Calculate 40 divided by -8.
-5
-93 divided by -93
1
Calculate -1482 divided by 78.
-19
Divide 16 by -3.
-16/3
Divide 6574 by 173.
38
Divide 270 by -4.
-135/2
What is -99 divided by 73?
-99/73
What is 396 divided by -132?
-3
Calculate -28 divided by -14.
2
What is 285 divided by -1?
-285
Divide -2166 by -6.
361
-1500 divided by -100
15
Calculate -83 divided by 51.
-83/51
Divide -27 by 30.
-9/10
-483 divided by 69
-7
316 divided by -2
-158
What is -4 divided by -163?
4/163
-3 divided by -1
3
Divide -196 by 135.
|
{
"pile_set_name": "DM Mathematics"
}
|
*v - 7*v + 24. Let x(n) = 1. Let r(k) = v*x(k) + 3*l(k). Determine r(q(o)).
-18*o
Let d(j) = 3*j + 18. Let b(t) = -2*t**2 - 4*t + 2. Let z(m) = -6*m**2 - 14*m + 7. Let f(q) = -7*b(q) + 2*z(q). Determine d(f(y)).
6*y**2 + 18
Let c(l) = -11*l. Let x(d) be the second derivative of -17*d + 0*d**2 + 0 + 0*d**3 - 1/6*d**4. Determine x(c(m)).
-242*m**2
Let q(p) = 0*p - 3*p + 3*p - 3*p**2. Let i(d) = -2*d. Suppose 0 = -4*y - 13 - 3. Let m(r) = r. Let f(w) = y*m(w) - i(w). Determine f(q(a)).
6*a**2
Let y(u) = 29*u - 4 + 10 - 1 - 1. Let w(h) = -320*h - 45. Let t(l) = -4*w(l) - 45*y(l). Let r(s) = 2*s**2. Calculate t(r(b)).
-50*b**2
Let v(r) = -8*r**2 - 12*r. Let p(g) = -7*g**2 - 10*g. Let w(u) = -6*p(u) + 5*v(u). Suppose -n - 2*n = 0. Let h(k) = n*k**2 + 3*k**2 - k**2. Calculate w(h(c)).
8*c**4
Let t(p) = -9*p**2. Suppose 0 = -0*v + 2*v - 10. Suppose 0 = -f + v*f - 8. Let r(h) = 0*h - h + h**f + h. Determine t(r(z)).
-9*z**4
Let h(d) = 79*d**2. Let l(z) = 13*z - 6. Let r(o) = 2*o - 1. Let c(a) = l(a) - 6*r(a). Determine c(h(y)).
79*y**2
Let r(s) = s + 6. Let l(p) = -2. Let g(z) = -6*l(z) - 2*r(z). Suppose -34 = -2*k - 5*m, 5*k - 3*m - 2 = 3*k. Let u(i) = -3*i + k*i - 8*i + i. What is g(u(f))?
6*f
Let t(q) = 17*q - 70. Let l(x) = 26*x - 112. Let w(g) = -5*l(g) + 8*t(g). Let c(z) = -2*z + 2. Determine c(w(m)).
-12*m + 2
Let g(f) = -2*f. Suppose 5*l = -13 + 38, l - 53 = -4*q. Suppose 4*z + q = -4*y, -5*y = -4*z - 37 + 7. Let v(d) = -1 + 14*d**y + 1 + 0*d**2. What is v(g(m))?
56*m**2
Let t(d) = 2*d. Let j(f) = -102*f**2 - 18*f - 32. Let h(s) = -50*s**2 - 8*s - 16. Let v(c) = 9*h(c) - 4*j(c). What is v(t(m))?
-168*m**2 - 16
Let j(l) = -92*l. Let m(x) = 13*x**2 + x. What is m(j(y))?
110032*y**2 - 92*y
Let q(i) = -2*i**2. Let m(h) = 50*h. Let s(b) = b**3 - 12*b**2 + 10*b + 13. Let p be s(11). Let n(w) = -17*w. Let k(j) = p*m(j) + 7*n(j). Give q(k(d)).
-722*d**2
Let v(o) = 8 + 41 - 49 - 712*o. Let i(g) = -2*g**2. What is v(i(s))?
1424*s**2
Let k(y) be the third derivative of -2*y**2 + 0*y**3 + 0*y**4 + 0 + 1/60*y**5 + 0*y. Let n(q) be the second derivative of q**4/6 - 18*q. What is n(k(i))?
2*i**4
Let s(i) = i + 3. Let c(w) = -3*w - 8. Let p(r) = 3*c(r) + 8*s(r). Let o(l) = 5*l**2 + 4*l**2 - 6*l**2 - 5*l**2. Give o(p(d)).
-2*d**2
Let z(q) = 7*q. Let c(x) = -3*x. Let d(m) = -9*c(m) - 4*z(m). Let f(h) = 40*h**2 + 25*h**2 - 2*h - 92*h**2 + 2*h. Calculate f(d(l)).
-27*l**2
Let r = -51 - -46. Let n(o) = 3*o**2 - 7. Let m(t) = -2*t**2 + 5. Let a(k) = r*n(k) - 7*m(k). Let i(u) = 7*u. Determine a(i(y)).
-49*y**2
Let p(m) = -6*m**2. Let a(r) = -23313*r. Calculate a(p(d)).
139878*d**2
Let o(j) = 20*j**2. Let p(l) = 22616 - 22616 + 7*l. Determine o(p(w)).
980*w**2
Let u(z) = -2*z - 2. Let q(m) = 9*m + 10. Let k(n) = -q(n) - 5*u(n). Let i(f) = 45*f**2. Determine i(k(g)).
45*g**2
Let r(j) = -j. Let m(q) = q - 37 - q + 0*q + 32 - q. Give r(m(i)).
i + 5
Let j(y) = 2*y. Suppose 3*k - 14 = -4*k. Let c(a) = -81*a**2 + 37*a**2 + 42*a**k. Calculate c(j(i)).
-8*i**2
Let o(k) = -3694*k. Let p(i) = -112*i. What is p(o(y))?
413728*y
Let z(t) = -t**2 - 7*t - 3. Let s be z(-6). Let p(b) = b + b + s*b**2 - 2*b. Let n(m) be the first derivative of -2*m**2 + 40. Determine n(p(l)).
-12*l**2
Let y(f) = -f. Suppose 0 = 7*q - 32 + 11. Let z(h) be the second derivative of 0*h**2 + 0 + 2*h + 1/6*h**q. Determine y(z(u)).
-u
Let o(k) = -k + 6. Let q(y) = 8*y - 18. Let a(n) = -7*n + 17. Let d(h) = 5*a(h) + 4*q(h). Let c(f) = 6*d(f) - 13*o(f). Let r(v) = 3*v**2. What is r(c(m))?
75*m**2
Let s(z) = 10 - 10 + z + 3*z - 3*z. Let j(h) = 302*h**2. What is s(j(x))?
302*x**2
Let x(u) be the second derivative of -25*u**4/12 - 5*u + 8. Let l(y) = 14*y. Calculate l(x(k)).
-350*k**2
Let m(k) = 2072*k**2. Let q(f) = -105*f. Give q(m(v)).
-217560*v**2
Let s(v) = -4*v - 9. Let x(t) = t - 3. Let r(k) = -6*k**2 - 6*k + 18. Let g(q) = -r(q) - 6*x(q). What is g(s(i))?
96*i**2 + 432*i + 486
Let f(v) = 3*v**2 - 2*v. Let s(h) = -42674*h**2. Determine f(s(y)).
5463210828*y**4 + 85348*y**2
Let b(u) = -u**2 - 241*u. Let z(t) = -11*t - 7. Let l(g) = -6*g - 4. Let o(n) = 7*l(n) - 4*z(n). Calculate o(b(r)).
-2*r**2 - 482*r
Let q(p) = -2*p**2. Let g(d) = 222*d + 194. Calculate g(q(h)).
-444*h**2 + 194
Let g(l) = l. Let r(q) = -q**3 + 11*q**2 - 3*q + 36. Let h be r(11). Let b(a) be the first derivative of 0*a**2 - 3 + 2/3*a**h + 0*a. Determine b(g(u)).
2*u**2
Let x(b) = -3*b. Suppose -2*g = l - 2, -l = -2*g - 0 + 6. Let p = -2 + g. Let o(i) = 3 - 3 + 3*i + p*i. Give x(o(j)).
-9*j
Let x(l) be the third derivative of -l**8/10080 + 2*l**5/15 - 24*l**2. Let q(c) be the third derivative of x(c). Let z(f) = -7*f + 0*f + 2*f. Give q(z(i)).
-50*i**2
Let g = 27 - 24. Let y(p) = -g*p + 4*p + p. Let v(f) = 6*f**2. Give y(v(c)).
12*c**2
Let v(t) = -2*t. Let z(i) = 32714*i**2. Calculate v(z(p)).
-65428*p**2
Let f(u) = 69*u**2. Let w(s) = -3*s + 0*s + 9051 - 9051. Calculate w(f(z)).
-207*z**2
Let a(l) = 1269*l**2 + 6. Let k(n) = -22*n. Determine a(k(z)).
614196*z**2 + 6
Let c(p) = 309*p. Let x(w) = -14*w + 36. Let o(n) = n - 3. Let m(l) = -12*o(l) - x(l). What is m(c(y))?
618*y
Let x(j) = -j. Suppose 0 = -2*k - k + 3*q + 12, q = 2*k - 7. Suppose 3*n + k = 4*n. Let z(d) = -2*d + 3*d - n*d + 4*d. What is x(z(r))?
-2*r
Let v(z) = 154*z. Let u(x) = -6*x - 5. Let l(f) = 2*f + 2. Let b(y) = 5*l(y) + 2*u(y). Give v(b(n)).
-308*n
Let b(l) = 2*l. Let a(h) = -1025*h. Suppose 2*s + 2*s + 5*c + 7 = 0, -3*c - 9 = 0. Let i(x) = -38*x. Let q(n) = s*a(n) - 55*i(n). Calculate q(b(m)).
80*m
Let j(w) be the third derivative of w**4/8 + 38*w**2. Let r(n) = 19*n**2 - 7. Let c(x) = 9*x**2 - 3. Let v(m) = 7*c(m) - 3*r(m). What is j(v(d))?
18*d**2
Let a(j) = j - 12. Let r(g) be the third derivative of -11*g**4/24 - 484*g**2. Determine r(a(y)).
-11*y + 132
Let p(g) = 12*g - 17. Suppose 292 = -25*b - 133. Let w(d) = -4*d + 6. Suppose -3*k = -5*k - 12. Let l(y) = b*w(y) + k*p(y). Let i(c) = -c. Calculate i(l(u)).
4*u
Let w(r) = r**2 + 4*r - 2. Let g(p) = 4*p**2 + 18*p - 9. Let j(h) = -2*g(h) + 9*w(h). Let f(u) = -4*u - 12 + 12 - 20*u. Determine f(j(c)).
-24*c**2
Let y(h) = 7*h. Let g(f) = -3*f. Let p(i) = -9*g(i) - 4*y(i). Let u(l) = 13*l + 1. Determine u(p(b)).
-13*b + 1
Let o(f) be the first derivative of -f**3 + 31. Let v(y) = -22*y + 2*y + 30*y - 1 + 11*y. What is v(o(j))?
-63*j**2 - 1
Let n(u) be the third derivative of -u**5/60 + 11*u**2 + 2. Let f(o) = -2*o**2 + 27*o. What is n(f(q))?
-4*q**4 + 108*q**3 - 729*q**2
Let c(h) = h - 1. Let i = -9 + 6. Let a(w) = 4*w - 3. Let r(k) = i*c(k) + a(k). Let z(y) be the second derivative of y**3/3 - 11*y. Give r(z(f)).
2*f
Let j(r) = -13*r**2 + 15 - 2 - 83*r**2 - 13. Let w(h) = -h**2. Give w(j(f)).
-9216*f**4
Let g(z) = 3011*z**2. Let p(a) = 13*a**2. What is g(p(s))?
508859*s**4
Let v(j) = -24*j - 2. Let h(i) = -24*i - 2. Let a(n) = -3*h(n) + 2*v(n). Let q(c) be the first derivative of c**3/3 + 1030. Give q(a(f)).
576*f**2 + 96*f + 4
Let j(w) = -226*w - 3. Let o(d) = -4*d. Determine o(j(c)).
904*c + 12
Let o(r) = 83198*r. Let x(f) = -38*f. Determine x(o(w)).
-3161524*w
Let w(p) = -p. Let r(n) be the second derivative of -43*n**4/4 + 776*n. Give w(r(k)).
129*k**2
Let l(j) = 4 - 4 + j**2. Let a(w) = -14*w. Let t(n) = 6*n + n + 16*n + 5*n. Let g(x) = -7*a(x) - 4*t(x). What is g(l(p))?
-14*p**2
Let i(b) be the second derivative of -11*b**4/12 - 4*b - 37. Let z(l) = -25*l**2. What is z(i(d))?
-3025*d**4
Let m(s) = 1. Let n(p) = -p - 3. Let y(a) = 3*m(a) + n(a). Let c be -5 + 4*(-19)/(-4). Let i(j) = -11*j + 26*j - c*j. Determine i(y(x)).
-x
Let o(u) = 257*u**2 + 43 - 43 - 187*u**2. Let i(l) = 2 + l - 2. Calculate i(o(r)).
70*r**2
Let v(m) = m. Let b(l) be the first derivative of -19*l**3/3 + 3*l**2/2 - 26. What is v(b(x))?
-19*x**2 + 3*x
Let p(z) = -4071 - 34*z + 4071 - 435*z. Let q(k) = -k**2. What is p(q(t))?
469*t**2
Let d(q) = -3*q. Let w(u) be the first derivative of u**5/60 - 3*u**2 + 14. Let r(a) be the second derivative of w(a). Give d(r(t)).
-3*t**2
Let m(n) = -76*n. Let i(h) = 4*h**2 - 7*h - 7. Let f(k) = -2*k**2 + 4*k + 4. Let w(v) = -7*f(v) - 4*i(v). What is w(m(t))?
-11552*t**2
Let m(w) = -w**2. Let z(c) be the third derivative of 0*c - 13/60*c**5 + 0*c**4 + 0*c**3 + 0 - 15*c**2. Give m(z(t)).
-169*t**4
Let v(
|
{
"pile_set_name": "DM Mathematics"
}
|
PM and 8:09 PM?
110
What is 274 minutes after 7:09 AM?
11:43 AM
What is 167 minutes after 8:11 PM?
10:58 PM
What is 324 minutes after 5:03 PM?
10:27 PM
What is 657 minutes before 12:23 AM?
1:26 PM
What is 564 minutes before 8:14 PM?
10:50 AM
What is 652 minutes before 6:41 AM?
7:49 PM
What is 605 minutes after 2:41 AM?
12:46 PM
What is 708 minutes after 3:59 AM?
3:47 PM
What is 443 minutes after 11:03 PM?
6:26 AM
What is 703 minutes before 7:41 PM?
7:58 AM
How many minutes are there between 9:03 AM and 7:33 PM?
630
What is 466 minutes after 3:41 AM?
11:27 AM
What is 103 minutes before 4:30 AM?
2:47 AM
How many minutes are there between 12:11 PM and 9:28 PM?
557
What is 304 minutes before 2:51 PM?
9:47 AM
How many minutes are there between 9:37 AM and 9:31 PM?
714
What is 53 minutes after 8:49 PM?
9:42 PM
How many minutes are there between 11:28 PM and 12:44 AM?
76
How many minutes are there between 1:12 AM and 2:00 AM?
48
How many minutes are there between 2:43 AM and 11:28 AM?
525
How many minutes are there between 6:34 AM and 8:41 AM?
127
What is 19 minutes after 7:51 PM?
8:10 PM
How many minutes are there between 5:59 PM and 8:14 PM?
135
How many minutes are there between 4:51 AM and 11:03 AM?
372
How many minutes are there between 9:23 PM and 10:01 PM?
38
How many minutes are there between 9:36 PM and 7:46 AM?
610
What is 19 minutes before 8:35 PM?
8:16 PM
What is 202 minutes after 1:40 PM?
5:02 PM
What is 341 minutes after 1:09 AM?
6:50 AM
What is 310 minutes after 10:06 AM?
3:16 PM
What is 120 minutes after 5:56 AM?
7:56 AM
How many minutes are there between 9:07 PM and 10:23 PM?
76
How many minutes are there between 2:16 AM and 10:50 AM?
514
How many minutes are there between 7:08 AM and 5:39 PM?
631
What is 546 minutes before 2:36 AM?
5:30 PM
What is 657 minutes after 6:40 AM?
5:37 PM
How many minutes are there between 8:57 AM and 4:07 PM?
430
What is 493 minutes before 12:55 AM?
4:42 PM
How many minutes are there between 11:37 AM and 9:13 PM?
576
What is 689 minutes before 11:37 AM?
12:08 AM
What is 530 minutes before 4:49 PM?
7:59 AM
How many minutes are there between 8:37 AM and 8:26 PM?
709
What is 155 minutes after 3:13 AM?
5:48 AM
How many minutes are there between 4:00 AM and 8:34 AM?
274
How many minutes are there between 10:50 AM and 2:01 PM?
191
How many minutes are there between 2:03 PM and 3:32 PM?
89
What is 317 minutes before 7:03 AM?
1:46 AM
What is 584 minutes after 7:05 AM?
4:49 PM
How many minutes are there between 12:00 PM and 5:03 PM?
303
How many minutes are there between 2:34 AM and 5:21 AM?
167
What is 655 minutes before 7:34 AM?
8:39 PM
What is 40 minutes before 6:21 AM?
5:41 AM
What is 49 minutes before 1:31 PM?
12:42 PM
How many minutes are there between 5:41 AM and 2:54 PM?
553
How many minutes are there between 12:03 PM and 5:12 PM?
309
What is 588 minutes after 9:34 PM?
7:22 AM
What is 657 minutes before 10:42 PM?
11:45 AM
How many minutes are there between 3:33 PM and 7:16 PM?
223
How many minutes are there between 12:12 PM and 8:04 PM?
472
What is 419 minutes before 8:27 AM?
1:28 AM
What is 236 minutes before 11:14 PM?
7:18 PM
How many minutes are there between 9:09 PM and 2:32 AM?
323
How many minutes are there between 6:13 PM and 6:51 PM?
38
What is 302 minutes before 6:54 AM?
1:52 AM
What is 354 minutes after 9:40 PM?
3:34 AM
What is 160 minutes before 11:41 AM?
9:01 AM
How many minutes are there between 3:10 PM and 1:56 AM?
646
How many minutes are there between 1:13 PM and 7:39 PM?
386
How many minutes are there between 12:48 PM and 12:34 AM?
706
How many minutes are there between 7:24 AM and 7:36 AM?
12
How many minutes are there between 1:58 PM and 8:14 PM?
376
How many minutes are there between 11:59 AM and 8:24 PM?
505
How many minutes are there between 1:48 AM and 6:22 AM?
274
How many minutes are there between 6:06 PM and 9:07 PM?
181
What is 458 minutes before 1:15 AM?
5:37 PM
How many minutes are there between 8:20 PM and 7:40 AM?
680
What is 468 minutes after 8:05 PM?
3:53 AM
What is 703 minutes after 12:17 AM?
12:00 PM
How many minutes are there between 9:44 PM and 1:35 AM?
231
What is 456 minutes after 9:29 AM?
5:05 PM
How many minutes are there between 7:20 AM and 12:06 PM?
286
How many minutes are there between 6:05 PM and 3:51 AM?
586
What is 304 minutes before 4:00 AM?
10:56 PM
What is 624 minutes after 9:35 PM?
7:59 AM
What is 419 minutes before 6:09 PM?
11:10 AM
How many minutes are there between 7:25 AM and 3:13 PM?
468
What is 410 minutes before 2:32 AM?
7:42 PM
How many minutes are there between 12:13 PM and 11:18 PM?
665
What is 609 minutes after 10:03 PM?
8:12 AM
How many minutes are there between 11:43 AM and 1:59 PM?
136
What is 254 minutes after 3:27 AM?
7:41 AM
How many minutes are there between 12:55 PM and 10:42 PM?
587
How many minutes are there between 8:33 PM and 7:45 AM?
672
What is 155 minutes after 11:29 PM?
2:04 AM
How many minutes are there between 5:55 PM and 2:53 AM?
538
How many minutes are there between 10:44 PM and 2:55 AM?
251
How many minutes are there between 10:47 AM and 11:46 AM?
59
What is 664 minutes before 1:45 PM?
2:41 AM
How many minutes are there between 8:52 AM and 2:33 PM?
341
How many minutes are there between 6:05 PM and 3:18 AM?
553
What is 474 minutes before 1:52 AM?
5:58 PM
What is 535 minutes after 10:47 PM?
7:42 AM
What is 620 minutes after 10:31 PM?
8:51 AM
What is 488 minutes before 8:24 PM?
12:16 PM
How many minutes are there between 11:19 PM and 9:29 AM?
610
How many minutes are there between 7:32 PM and 6:37 AM?
665
How many minutes are there between 3:51 AM and 1:21 PM?
570
What is 585 minutes after 10:50 PM?
8:35 AM
What is 123 minutes after 5:55 PM?
7:58 PM
How many minutes are there between 1:37 PM and 12:42 AM?
665
What is 246 minutes after 5:41 PM?
9:47 PM
What is 400 minutes before 9:04 PM?
2:24 PM
What is 217 minutes before 5:10 PM?
1:33 PM
What is 48 minutes before 6:14 PM?
5:26 PM
What is 528 minutes before 10:11 PM?
1:23 PM
What is 597 minutes after 12:15 PM?
10:12 PM
What is 490 minutes after 5:56 PM?
2:06 AM
What is 283 minutes after 7:24 PM?
12:07 AM
What is 139 minutes after 9:09 PM?
11:28 PM
What is 419 minutes before 11:18 AM?
4:19 AM
How many minutes are there between 9:44 PM and 6:34 AM?
530
How many minutes are there between 4:06 AM and 8:55 AM?
289
How many minutes are there between 7:52 AM and 4:03 PM?
491
How many minutes are there between 11:01 AM and 9:19 PM?
618
What is 71 minutes before 6:05 PM?
4:54 PM
How many minutes are there between 11:15 PM and 9:46 AM?
631
What is 617 minutes before 9:53 PM?
11:36 AM
What is 429 minutes before 4:14 AM?
9:05 PM
What is 345 minutes before 7:20 PM?
1:35 PM
What is 137 minutes after 11:01 AM?
1:18 PM
How many minutes are there between 11:50 AM and 5:07 PM?
317
How many minutes are there between 12:42 AM and 10:00 AM?
558
How many minutes are there between 10:52 AM and 2:49 PM?
237
What is 328 minutes before 2:50 PM?
9:22 AM
How many minutes are there between 7:37 PM and 10:54 PM?
197
How many minutes are there between 3:46 PM and 6:25 PM?
159
How many minutes are there between 11:45 AM and 2:13 PM?
148
What is 166 minutes before 6:57 PM?
4:11 PM
What is 641 minutes after 9:09 AM?
7:50 PM
What is 589 minutes before 1:20 AM?
3:31 PM
What is 424 minutes after 11:25 AM?
6:29 PM
What is 144 minutes after 12:33 AM?
2:57 AM
What is 359 minutes after 10:00 PM?
3:59 AM
How many minutes are there between 4:46 AM and 11:14 AM?
388
What is 585 minutes before 9:53 AM?
12:08 AM
What is 665 minutes before 10:25 AM?
11:20 PM
How many minutes are there between 11:49 AM and 6:57 PM?
428
How many minutes are there between 8:14 PM and 8:28 PM?
14
What is 416 minutes before 10:51 PM?
3:55 PM
What is 235 minutes after 6:18 PM?
10:13 PM
What is 524 minutes before 4:01 AM?
7:17 PM
What is 559 minutes after 2:19 AM?
11:38 AM
What is 25 minutes after 11:39 PM?
12:04 AM
What is 238 minutes before 9:20 AM?
5:22 AM
What is 148 minutes after 12:35 PM?
3:03 PM
How many minutes are there between 4:57 PM and 7:12 PM?
135
How many minutes are there between 12:23 AM and 8:31 AM?
488
How many minutes are there between 6:15 PM and 4:42 AM?
627
How many minutes are there between 1:30 AM and 12:14 PM?
644
|
{
"pile_set_name": "DM Mathematics"
}
|
and 6/a*(-856)/32.
30
Suppose 21*o + 4*o - 350 = 100. Calculate the lowest common multiple of 525 and o.
3150
Let q = 12 - -208. Suppose 0 = r - q - 92. Suppose 2*s + r = 15*s. Calculate the least common multiple of 3 and s.
24
Let v = -262288 + 267271423/1019. Let w = v - -108485/73368. What is the common denominator of 167/42 and w?
504
Let p = 749 + -535. Let i = -206 + p. Suppose -q + 2*q - 2 = 0. What is the lowest common multiple of i and q?
8
Let s(a) = -14*a + 1376. Calculate the least common multiple of s(96) and 352.
352
Suppose -26*c + 27*c + v - 383 = 0, 0 = v - 3. Calculate the smallest common multiple of c and 56.
5320
Let a(t) = -t**3 - 15*t**2 + 187*t + 76. Calculate the least common multiple of a(-23) and 604.
4228
Let b = 3054 + -3049. Let r = 109 + -54. Calculate the smallest common multiple of b and r.
55
What is the common denominator of -32/673 and (9 - (520/12)/5) + 258/(-45)?
3365
Suppose 61*k - 391025 = 10904. Calculate the least common multiple of k and 7.
46123
Find the common denominator of -5 + ((-24)/8 - ((-1188)/40)/(-11)) and 9/10.
10
Let v = -5742 - -6054. Calculate the lowest common multiple of 40 and v.
1560
Suppose 71 = 7*r + 15. Suppose 0 = 3*o - 1 - r. Suppose -2 = -2*q + o*q - d, 4*q + 3*d = 20. Calculate the least common multiple of 8 and q.
8
Let q = -263 - -259. What is the common denominator of 7/20 + q + 3 and 67/20?
20
Let m(w) = -w**2 - 8*w + 8. Let c be m(-9). Let a be (-1 - c) + (-1)/(180/14267422). Let d = a - -79265. What is the common denominator of d and -5/22?
990
Suppose -5*i - 3*t = 349, -3*t - 56 = i - 7*t. Let j = i - -486/7. Let a = 626 + -1811/3. What is the common denominator of a and j?
21
Let x = 4065 - 3887. What is the smallest common multiple of 12 and x?
1068
Let z = -2829 - -3599. Calculate the smallest common multiple of 770 and z.
770
Let h(s) = -2*s**3 + s**2 - 5*s - 2. Let b be h(-5). Let x = 17 + b. Find the common denominator of -49/11 and 1/9*(0 - x/(-24)).
264
Let g be -2*(-6 - (-738)/4). Suppose 5*a - a = 2*m + 70, -3*a + 4*m = -65. What is the lowest common multiple of (-628)/(-21) + (-34)/g and a?
30
Let p be 3 + 130/(-5 - 0). What is the least common multiple of p/(207/(-630)) + -4 and 120?
1320
Suppose 3*i - 46327 = 23267. Let h be i/(-12446) - (-2)/(-7). Let q = 20103/2794 + h. What is the common denominator of 83/48 and q?
528
Suppose 0 = -80*r + 78*r + 250. What is the common denominator of ((-10)/r)/((-7)/(-45)) and -83/20?
140
Let m be (6820/186)/((-20)/(-18) + -1). Let j = m + -3632/11. Calculate the common denominator of -28/123 and j.
1353
Let f(j) = -j**2 - 16*j + 45. Let s(x) = -5*x**2 - 64*x + 181. Let d(a) = -9*f(a) + 2*s(a). What is the smallest common multiple of 1 and d(4)?
5
Let g(w) = 2*w - 10. Let n(y) = 2*y**3 + 1. Let h be ((-6 - -2) + 5)*(0 + 1). What is the smallest common multiple of n(h) and g(6)?
6
Find the common denominator of -103/90 and -4 + 10*(-37601)/(-93100).
4410
Let q = 31038473/10 + -3100731. Let s = 3109 - q. Let a = 3475/8 + -436. Calculate the common denominator of s and a.
40
Suppose 15621 = -4*p - d, 2*d = -3*p - 0*d - 11717. What is the common denominator of -23/2 and p/(-8946) + (-3)/((-21)/2)?
18
Let o = -1431059/430 + 3328. Calculate the common denominator of -1/1935 and o.
3870
Find the common denominator of (1/(-4) - 122/40)/(1767876/(-12485)) and -49/64.
3776
Let k = 5731975/156 - 36743. Find the common denominator of -103/1560 and k.
1560
Let v = -29820/11 - -1074499/396. Let j be (-543)/(-24)*(-1 + -8). Let l = j + 17957/88. What is the common denominator of l and v?
396
Suppose 2012 = -5*v + 3*x, x - 12 = -2*x. Let u = -176 - v. What is the least common multiple of 8 and u?
224
Suppose 0 = 5*s - r - 288, 289 = 4*s + 2*r + 67. Let d = -3 + s. What is the lowest common multiple of d and 15?
270
Let x(r) = 7281*r**2 - 272*r - 271. What is the lowest common multiple of x(-1) and 20?
72820
Find the common denominator of 103/20 and (-4 - 1023/(-55))*5/14660*-2.
14660
Let c be (4/(-7))/((-12)/546). Suppose -2*g = c - 6. What is the common denominator of g/(-84)*1/(-5)*-23 and -45/14?
42
Suppose -35 = 7*b - 2*b. Let x be (7/(-2))/b*0. Suppose 3*w + 4 = f, x = 5*f + 5*w - 0*w - 20. What is the smallest common multiple of 8 and f?
8
Let h(q) = q**2 - 4*q + 11. Calculate the smallest common multiple of h(-5) and 1/(6/(-20))*(-21)/14.
280
What is the common denominator of (-1)/(-4) + (-5 - 44660/(-9408)) and -29/560?
1680
Let x = -493030 + 643404079/1305. Calculate the common denominator of -7/5 and x.
1305
Let k be (-4 + (-58)/(-4))/((-3)/66). Let o = -224 - k. What is the least common multiple of 6*(-3)/(9/(-4)) and o?
56
Let c = -306 + 443. Suppose 5*p + 32 = c. Let v(u) = u**2 - 29*u + 231. What is the smallest common multiple of p and v(18)?
231
Find the common denominator of (-12)/(-28) - (6/(-616))/((-126)/(-40908)) and 41/858.
858
Let j = -3683/57216 + 23/384. Let a = j + -16531/1788. Let h = 82/49 - 2047/784. What is the common denominator of h and a?
16
Let n(w) = -3*w + 3. Let h be -31 - (18/(-3))/3. Let c = h - -27. What is the smallest common multiple of n(c) and 8?
72
Suppose 24 = -h + 25. Let z(p) be the second derivative of 17*p**3/6 - p**2/2 + 2*p + 29. Calculate the smallest common multiple of 22 and z(h).
176
Let y be -13 - 0 - -14 - 285037/(-14134). Let m = 2/21201 - y. Let v = -28010/33 + 849. Find the common denominator of m and v.
66
Suppose 9 = -11*i + 14*i. Suppose -608 + 80 = i*g. Find the common denominator of (54/g)/((-9)/(-12)) and -109/28.
308
Let w = 6 + 0. Calculate the smallest common multiple of 18025/2060 + 18/8 and w.
66
Let a be (-3)/(-1) - (-9)/9. Let y = 13 - a. What is the least common multiple of y and 1*3/(18/168)?
252
Let z(s) be the first derivative of 7*s - 15/2*s**2 - 2/3*s**3 + 10. What is the smallest common multiple of 6 and z(-7)?
42
Let c = -296664 + 78615078/265. Let h = c + 105527/41340. Find the common denominator of -56/9 and h.
468
Let v be 5/(-5) - (0 - 89). Let w be (-1488)/(-16) - (6 + -2). Let a = w - v. Calculate the smallest common multiple of 1 and a.
1
Let q = -138 - -165. Let u be 3*22/6 + 1. What is the lowest common multiple of q and u*10/15 - 1*-3?
297
Let d = -6243 - -12360. What is the smallest common multiple of 9 and d?
18351
Suppose -140*p + 36437 = -51763. Calculate the smallest common multiple of p and 280.
2520
Let z = 6624 + -6610. Calculate the lowest common multiple of z and 874.
6118
Suppose r - 14 + 5 = 0. What is the common denominator of (r/45)/(-1 - (-351)/295) and 1 - (1 - 114/28)?
56
Find the common denominator of 31/82 and (528/(-32) - -16) + (-231)/18.
246
What is the smallest common multiple of (-50)/(-6) + (-115)/(-69) and 2025?
4050
Let t(o) = -3*o - 17. Let z = 83 + -81. Suppose y - b - 4 = 6, 0 = z*y + 5*b - 48. Calculate the smallest common multiple of t(-7) and y.
28
Let m = 740353/462 - 3205/2. Calculate the common denominator of 191/210 and m.
2310
Suppose -6*u + 3*u + 4*n = -8, 5*u - 8 = 4*n. Suppose u = 9*y - 0*y - 99. Calculate the lowest common multiple of ((-1)/2)/((-3)/18) and y.
33
Suppose -43 + 25 = 9*q. What is the smallest common multiple of 60 and 7 + q*4/8 - -4?
60
Suppose -103*p = -120*p + 136. What is the smallest common multiple of p and 84?
168
Let q = -6 + 803. Let n = q + -717. What is the lowest common multiple of n and 96?
480
Let f = 1159/4515 - -3/301. Let l be 2 + 5 + 6/(-2). What is the common denominator of l/(-20) + 30/(-9) and f?
15
Let l = 18744 + -262529/14. Calculate the common denominator of l and 17/196.
196
Let f = -824/21 + 3425/84. Let m = -406/3480165 - 14969910889/9111071970. Let w = 2/6545 + m. Find the common denominator of f and w.
28
Let p = 199213843/396 - 503065. Calculate the common denominator of 14/1089 and p.
4356
Let t(w) = -4*w - 14. Let i be t(-5). Let c(k) = -k + 8. Let g be c(i). Suppose 0 = -0*z + g*z - 16. What is the smallest common multiple of z and 9?
72
Let s = -118 - -298. Let o = s + -164. What is the least common multiple of o and 16?
16
Calculate the common denominator of 3/20*137/33 and ((-1)/1)/((-660)/(-1221)).
220
Let t(z) = 3*z**2 + 36*z + 106. Calculate the lowest common multiple of t(-13) and 319.
1595
Find the common denominator of 77/498 and (50/(-14))/((1
|
{
"pile_set_name": "DM Mathematics"
}
|
920, 10557, 12156, 13711?
-h**3 - h**2 + 1739*h + 375
What is the d'th term of -12393, -24836, -37279, -49722?
-12443*d + 50
What is the x'th term of 185, 1540, 5225, 12404, 24241, 41900, 66545?
194*x**3 + x**2 - 6*x - 4
What is the h'th term of 90232, 360909, 812038, 1443619?
90226*h**2 - h + 7
What is the k'th term of 1598, 1505, 1412?
-93*k + 1691
What is the s'th term of 123, 268, 451, 672, 931?
19*s**2 + 88*s + 16
What is the z'th term of 189769, 189770, 189773, 189778, 189785, 189794, 189805?
z**2 - 2*z + 189770
What is the z'th term of -130, -235, -554, -1195, -2266, -3875, -6130, -9139?
-18*z**3 + z**2 + 18*z - 131
What is the t'th term of 14, -132, -362, -664, -1026, -1436, -1882?
2*t**3 - 54*t**2 + 2*t + 64
What is the s'th term of 29, 57, 49, -13, -147, -371?
-3*s**3 + 49*s - 17
What is the v'th term of -45990, -183952, -413890, -735804, -1149694?
-45988*v**2 + 2*v - 4
What is the n'th term of -5597, -5589, -5581, -5573, -5565, -5557?
8*n - 5605
What is the a'th term of -1020, -1825, -2418, -2799, -2968?
106*a**2 - 1123*a - 3
What is the q'th term of 54175, 54208, 54271, 54370, 54511, 54700, 54943, 55246?
q**3 + 9*q**2 - q + 54166
What is the n'th term of 11662, 11673, 11692, 11719?
4*n**2 - n + 11659
What is the a'th term of 4404, 17615, 39634, 70461, 110096, 158539?
4404*a**2 - a + 1
What is the k'th term of -24, -59, -114, -183, -260?
k**3 - 16*k**2 + 6*k - 15
What is the d'th term of 23, 66, 123, 194, 279, 378, 491?
7*d**2 + 22*d - 6
What is the l'th term of 109, 247, 435, 691, 1033?
3*l**3 + 7*l**2 + 96*l + 3
What is the c'th term of -33, -168, -437, -876, -1521, -2408?
-6*c**3 - 31*c**2 + 4
What is the k'th term of 473049, 473063, 473079, 473097, 473117, 473139, 473163?
k**2 + 11*k + 473037
What is the r'th term of -126, -79, 2, 117, 266, 449, 666?
17*r**2 - 4*r - 139
What is the q'th term of -347515, -347517, -347519, -347521, -347523?
-2*q - 347513
What is the d'th term of 649, 1284, 1911, 2530?
-4*d**2 + 647*d + 6
What is the a'th term of 4028, 4028, 4030, 4034, 4040, 4048, 4058?
a**2 - 3*a + 4030
What is the j'th term of 128, 249, 444, 713?
37*j**2 + 10*j + 81
What is the f'th term of 9736, 19495, 29268, 39061, 48880?
f**3 + f**2 + 9749*f - 15
What is the r'th term of 474, 551, 630, 711, 794, 879?
r**2 + 74*r + 399
What is the u'th term of 570, 576, 590, 618, 666, 740, 846?
u**3 - 2*u**2 + 5*u + 566
What is the n'th term of 2375, 2950, 3525, 4100, 4675?
575*n + 1800
What is the k'th term of 222093, 222103, 222125, 222165, 222229, 222323?
k**3 + 3*k + 222089
What is the h'th term of -30410, -30420, -30444, -30488, -30558, -30660?
-h**3 - h**2 - 30408
What is the m'th term of -32, -36, -42, -50, -60?
-m**2 - m - 30
What is the j'th term of 433, 1814, 4153, 7462, 11753, 17038?
2*j**3 + 467*j**2 - 34*j - 2
What is the q'th term of -68, -86, -190, -422, -824, -1438, -2306, -3470?
-7*q**3 - q**2 + 34*q - 94
What is the k'th term of 387, 247, 13, -315?
-47*k**2 + k + 433
What is the b'th term of 1075, 1072, 1091, 1144, 1243, 1400, 1627?
2*b**3 - b**2 - 14*b + 1088
What is the f'th term of -31, -96, -191, -334, -543?
-3*f**3 + 3*f**2 - 53*f + 22
What is the v'th term of -2163, -2039, -1915?
124*v - 2287
What is the o'th term of -1458, -1335, -1122, -819?
45*o**2 - 12*o - 1491
What is the d'th term of 71603, 286361, 644297, 1145417, 1789727, 2577233, 3507941?
d**3 + 71583*d**2 + 2*d + 17
What is the d'th term of 7050, 28194, 63448, 112818, 176310, 253930, 345684, 451578?
d**3 + 7049*d**2 - 10*d + 10
What is the r'th term of 532, 252, -66, -440, -888, -1428, -2078, -2856?
-3*r**3 - r**2 - 256*r + 792
What is the s'th term of 4367, 7503, 10639, 13775?
3136*s + 1231
What is the x'th term of -137538, -275084, -412630, -550176, -687722, -825268?
-137546*x + 8
What is the q'th term of 646112, 1292220, 1938328, 2584436?
646108*q + 4
What is the h'th term of 2430, 2427, 2424, 2421, 2418?
-3*h + 2433
What is the k'th term of -44710, -44704, -44688, -44656, -44602?
k**3 - k**2 + 2*k - 44712
What is the a'th term of -367, -551, -855, -1279?
-60*a**2 - 4*a - 303
What is the d'th term of -4490, -8974, -13458, -17942, -22426?
-4484*d - 6
What is the x'th term of -1145, -2376, -3599, -4808, -5997?
x**3 - 2*x**2 - 1232*x + 88
What is the t'th term of -1724, -3477, -5242, -7025, -8832?
-t**3 - 1746*t + 23
What is the r'th term of 31611, 31607, 31601, 31593, 31583?
-r**2 - r + 31613
What is the c'th term of 412, 341, 220, 25, -268, -683, -1244, -1975?
-4*c**3 - c**2 - 40*c + 457
What is the h'th term of 563, 488, 443, 428, 443?
15*h**2 - 120*h + 668
What is the p'th term of 1964, 2424, 2884?
460*p + 1504
What is the m'th term of 2046, 8298, 18750, 33408, 52278, 75366, 102678, 134220?
m**3 + 2094*m**2 - 37*m - 12
What is the l'th term of 2176, 3102, 4026, 4948, 5868, 6786?
-l**2 + 929*l + 1248
What is the y'th term of -113, -224, -421, -710, -1097, -1588?
-y**3 - 37*y**2 + 7*y - 82
What is the u'th term of 275, 647, 1019, 1391?
372*u - 97
What is the u'th term of 359, 280, 201, 122, 43, -36?
-79*u + 438
What is the j'th term of -480, -463, -438, -405?
4*j**2 + 5*j - 489
What is the c'th term of -120, -177, -234, -291?
-57*c - 63
What is the d'th term of -11770, -11767, -11764, -11761, -11758?
3*d - 11773
What is the m'th term of -470, -362, -252, -140, -26?
m**2 + 105*m - 576
What is the o'th term of 1429864, 2859729, 4289594, 5719459?
1429865*o - 1
What is the p'th term of 601573, 1203144, 1804715, 2406286, 3007857, 3609428?
601571*p + 2
What is the h'th term of -8673, -8672, -8667, -8658?
2*h**2 - 5*h - 8670
What is the r'th term of -34, -32, -30, -28, -26?
2*r - 36
What is the u'th term of -172, -347, -526, -703, -872?
u**3 - 8*u**2 - 158*u - 7
What is the y'th term of -801283, -801279, -801275, -801271?
4*y - 801287
What is the r'th term of -31675, -63346, -95017, -126688?
-31671*r - 4
What is the n'th term of 8220, 16414, 24590, 32742, 40864, 48950, 56994?
-n**3 - 3*n**2 + 8210*n + 14
What is the p'th term of -161089, -161083, -161077, -161071?
6*p - 161095
What is the h'th term of -1090, -4351, -9786, -17395?
-1087*h**2 - 3
What is the n'th term of -1228, -1202, -1176, -1150?
26*n - 1254
What is the l'th term of -7052, -14095, -21120, -28121, -35092, -42027, -48920, -55765?
l**3 + 3*l**2 - 7059*l + 3
What is the g'th term of 2953, 2917, 2887, 2857, 2821, 2773, 2707, 2617?
-g**3 + 9*g**2 - 56*g + 3001
What is the r'th term of -16, -111, -360, -841, -1632?
-13*r**3 + r**2 - 7*r + 3
What is the f'th term of -1012436, -1012436, -1012434, -1012430?
f**2 - 3*f - 1012434
What is the z'th term of 174, 438, 688, 918, 1122?
-z**3 - z**2 + 274*z - 98
What is the t'th term of -1870921, -1870924, -1870929, -1870936, -1870945?
-t**2 - 1870920
What is the u'th term of -597, -1725, -3607, -6243, -9633, -13777?
-377*u**2 + 3*u - 223
What is the w'th term of -107495, -107497, -107499, -107501?
-2*w - 107493
What is the w'th term of -2545, -2050, -1555, -1060, -565, -70?
495*w - 3040
What is the w'th term of -7057, -14172, -21291, -28414, -35541, -42672, -49807?
-2*w**2 - 7109*w + 54
What is the x'th term of 44279, 88584, 132889, 177194, 221499?
44305*x - 26
What is the b'th term of -1566, -1379, -1060, -603, -2, 749?
b**3 + 60*b**2 - 1627
What is the o'th term of 1724, 3451, 5182, 6917, 8656, 10399?
2*o**2 + 1721*o + 1
What is the o'th term of 9399, 18828, 28263, 37698, 47127, 56544?
-o**3 + 9*o**2 + 9409*o - 18
What is the j'th term of 1623, 1554, 1485, 1416, 1347?
-69*j + 1692
What is the w'th term of 5365, 10541, 15719, 20899, 26081, 31265, 36451?
w**2 + 5173*w + 191
What is the b'th term of 728, 656, 584, 512, 440?
-72*b + 800
What is the b'th term of -128500, -128501, -128502, -128503?
-b - 128499
What is the j'th term of 1499, 1482, 1445, 1388, 1311, 1214, 1097?
-10*j**2 + 13*j + 1496
What is the n'th term of -77931, -77932, -77933?
-n - 77930
What is the m'th term of 786, 1461, 2004, 2409, 2670, 2781, 2736?
-m**3 - 60*m**2 + 862*m - 15
What is the q'th term of -609, -236, 137, 510, 883, 1256?
373*q - 982
What is the s'th term of 456, 375, 158, -261, -948?
-11*s**3 - 2*s**2 + 2*s + 467
What is the b'th term of 231, 493, 757, 1023, 1291, 1561, 1833?
b**2 + 259*b - 29
What is the y'th term of 50956, 101930, 152904, 203878, 254852, 305826?
50974*y - 18
W
|
{
"pile_set_name": "DM Mathematics"
}
|
/9
What is prob of picking 1 k and 3 n when four letters picked without replacement from {n: 5, k: 2, c: 4}?
2/33
Two letters picked without replacement from {d: 2, g: 11}. Give prob of picking 2 g.
55/78
Two letters picked without replacement from {p: 1, i: 2}. Give prob of picking 1 p and 1 i.
2/3
Four letters picked without replacement from cdtcqhhthto. What is prob of picking 2 o and 2 c?
0
Calculate prob of picking 1 g and 2 e when three letters picked without replacement from etegeeeut.
5/42
What is prob of picking 1 n, 1 w, and 1 c when three letters picked without replacement from vcccccrcrvccnvcccww?
22/969
Two letters picked without replacement from {j: 1, g: 1, i: 2, o: 2, v: 1, s: 1}. What is prob of picking 1 i and 1 o?
1/7
What is prob of picking 2 t and 1 u when three letters picked without replacement from ueeteteueueedueettue?
1/38
Two letters picked without replacement from wqgvg. What is prob of picking 2 g?
1/10
Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, m: 4}.
1/7
Four letters picked without replacement from ttmrnymrrrymmmlr. Give prob of picking 1 y, 1 n, 1 m, and 1 r.
5/182
What is prob of picking 4 f when four letters picked without replacement from {p: 4, f: 6}?
1/14
Calculate prob of picking 1 t and 3 k when four letters picked without replacement from kttkktkktkktt.
42/143
Two letters picked without replacement from {n: 4, b: 7, d: 1, w: 2}. What is prob of picking 2 w?
1/91
Three letters picked without replacement from eejejeeeeeeeeeeeeeee. What is prob of picking 3 e?
68/95
Two letters picked without replacement from {k: 6, o: 1, p: 3, j: 3, a: 1, d: 3}. Give prob of picking 1 j and 1 o.
3/136
Two letters picked without replacement from jamcajiv. Give prob of picking 1 v and 1 m.
1/28
What is prob of picking 2 k and 2 l when four letters picked without replacement from klkllk?
3/5
Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {l: 9, e: 1, q: 4, s: 2}.
3/20
What is prob of picking 2 s and 1 g when three letters picked without replacement from sssggg?
9/20
What is prob of picking 1 r, 1 i, and 1 u when three letters picked without replacement from {u: 2, c: 2, x: 1, r: 1, g: 2, i: 5}?
5/143
Three letters picked without replacement from eeefff. Give prob of picking 3 e.
1/20
Two letters picked without replacement from zzmcccczmzcc. Give prob of picking 1 m and 1 z.
4/33
What is prob of picking 2 e when two letters picked without replacement from nneeevevevnnn?
5/39
What is prob of picking 1 v and 1 w when two letters picked without replacement from {p: 5, w: 2, v: 1, q: 8}?
1/60
Four letters picked without replacement from vqiiuuuvhuhqhh. What is prob of picking 1 h, 2 q, and 1 i?
8/1001
Two letters picked without replacement from xqtvdvtvdxtxvtqxqxxi. Give prob of picking 1 t and 1 x.
12/95
What is prob of picking 1 j, 1 q, and 1 x when three letters picked without replacement from {x: 3, j: 1, q: 5}?
5/28
Calculate prob of picking 1 e and 1 u when two letters picked without replacement from ccudccceq.
1/36
Three letters picked without replacement from {c: 10, j: 2, z: 2}. What is prob of picking 1 z and 2 j?
1/182
Three letters picked without replacement from hhhhhhhhmhmmhhw. What is prob of picking 2 h and 1 w?
11/91
Calculate prob of picking 2 z and 1 f when three letters picked without replacement from zuzzf.
3/10
Calculate prob of picking 4 o when four letters picked without replacement from {o: 8, l: 3}.
7/33
Three letters picked without replacement from kqatabd. What is prob of picking 1 t, 1 k, and 1 a?
2/35
What is prob of picking 1 w and 3 u when four letters picked without replacement from wqqzzqlwjuluwzqu?
3/1820
Calculate prob of picking 1 p, 1 s, and 1 m when three letters picked without replacement from {s: 1, f: 6, m: 4, t: 5, p: 1, e: 3}.
1/285
Two letters picked without replacement from {j: 2, m: 7, z: 4, v: 1, o: 2}. Give prob of picking 2 j.
1/120
Four letters picked without replacement from ededddddeeedeedgeeee. What is prob of picking 4 e?
22/323
What is prob of picking 1 i and 2 m when three letters picked without replacement from {i: 9, m: 3}?
27/220
What is prob of picking 1 l and 1 c when two letters picked without replacement from helllhlllhhclel?
8/105
Four letters picked without replacement from {i: 4, x: 2, r: 2}. What is prob of picking 2 r and 2 i?
3/35
What is prob of picking 3 r when three letters picked without replacement from {r: 3, v: 5}?
1/56
Four letters picked without replacement from jjjjjdbjjjidjj. What is prob of picking 1 d, 2 j, and 1 i?
90/1001
Calculate prob of picking 1 m and 2 d when three letters picked without replacement from uddrdddueedmyd.
3/52
Two letters picked without replacement from {a: 1, j: 1, f: 2, q: 5, i: 6}. Give prob of picking 1 a and 1 i.
2/35
Four letters picked without replacement from {a: 5, o: 11}. What is prob of picking 4 a?
1/364
Calculate prob of picking 2 t and 1 z when three letters picked without replacement from tggtttgzt.
5/42
Calculate prob of picking 1 l, 1 u, 1 j, and 1 w when four letters picked without replacement from uluujwj.
6/35
Two letters picked without replacement from hhxnx. What is prob of picking 2 h?
1/10
Two letters picked without replacement from doeooaepeeo. What is prob of picking 1 a and 1 p?
1/55
Three letters picked without replacement from {b: 6, c: 2}. What is prob of picking 2 c and 1 b?
3/28
Three letters picked without replacement from ieggei. What is prob of picking 3 g?
0
Calculate prob of picking 1 b and 3 z when four letters picked without replacement from {b: 4, t: 2, l: 2, z: 5}.
8/143
Calculate prob of picking 1 b and 2 v when three letters picked without replacement from qdddqvddrdbbbvqdddb.
4/969
Calculate prob of picking 4 a when four letters picked without replacement from {s: 1, u: 1, t: 5, c: 1, a: 9}.
9/170
What is prob of picking 3 j and 1 k when four letters picked without replacement from {k: 1, d: 4, j: 3}?
1/70
Two letters picked without replacement from uuouuuouuoouuu. Give prob of picking 2 o.
6/91
What is prob of picking 3 o and 1 d when four letters picked without replacement from doooddd?
4/35
Two letters picked without replacement from {z: 5, f: 2, x: 13}. What is prob of picking 2 x?
39/95
What is prob of picking 1 q and 3 p when four letters picked without replacement from pqppqppppqpqpp?
480/1001
Two letters picked without replacement from aoaaf. What is prob of picking 1 a and 1 o?
3/10
Four letters picked without replacement from {n: 3, x: 11, s: 1}. Give prob of picking 1 s and 3 x.
11/91
What is prob of picking 2 e and 2 s when four letters picked without replacement from {e: 11, a: 4, s: 3}?
11/204
Two letters picked without replacement from jjjjjjjljjjjjjjljjj. Give prob of picking 2 j.
136/171
What is prob of picking 1 o and 3 x when four letters picked without replacement from xoooxoxoxooooxoooox?
65/969
Two letters picked without replacement from aiaaiilaiii. What is prob of picking 1 i and 1 l?
6/55
Two letters picked without replacement from lflk. Give prob of picking 1 l and 1 f.
1/3
Two letters picked without replacement from {i: 4, t: 4, g: 1, h: 6, k: 5}. What is prob of picking 2 i?
3/95
Calculate prob of picking 2 y and 1 x when three letters picked without replacement from {l: 6, r: 3, x: 3, y: 2, g: 1}.
3/455
Four letters picked without replacement from {p: 4, h: 1, s: 6, u: 2}. Give prob of picking 1 s, 2 u, and 1 h.
6/715
Four letters picked without replacement from {a: 2, w: 1, h: 1, e: 1}. What is prob of picking 1 h, 1 w, and 2 a?
1/5
What is prob of picking 1 i and 1 f when two letters picked without replacement from {f: 5, i: 14}?
70/171
Three letters picked without replacement from {v: 2, f: 2, h: 4, u: 1, q: 5}. What is prob of picking 1 f and 2 q?
5/91
Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {w: 4, r: 1, u: 5}.
1/9
Two letters picked without replacement from {m: 12, g: 7, x: 1}. What is prob of picking 2 g?
21/190
Calculate prob of picking 2 m when two letters picked without replacement from hmmimhh.
1/7
What is prob of picking 2 h when two letters picked without replacement from {h: 19, s: 1}?
9/10
Two letters picked w
|
{
"pile_set_name": "DM Mathematics"
}
|
((-294)/180)/(1036/444)?
-7/10
Evaluate (-276)/(-52)*31746/(-2442).
-69
((22678/2233)/(-23))/(31/217)
-34/11
(((-6)/(-110))/(38/4940*234))/(3/(-18))
-2/11
What is the value of ((4/21)/(7/(-21)))/(792/(-23100))?
50/3
Calculate (-6)/(-568)*(-98)/(-6125)*-250.
-3/71
What is ((-56)/(-18))/(373/1119)*(-252)/(-49)?
48
What is 1*15/(-10)*((-110)/33)/(-1)?
-5
What is the value of (30*(-576)/265680)/(2/3)?
-4/41
What is ((-11)/1232*-464)/((-2)/42)?
-87
What is the value of ((-16)/(-3))/(84456/5589)?
6/17
12*-58*65/(-18096)
5/2
What is (221/(21658/(-3528)))/((-12)/10)?
30
Evaluate (-5576)/(-15232)*-32*7.
-82
91/52*((-96)/(-686))/6
2/49
(-2)/78*(-152)/(-532)
-2/273
What is the value of ((-9213)/(-6142))/(((-3)/76)/1)?
-38
What is the value of (351/(-195))/((-32)/((-1728)/405))?
-6/25
Evaluate (-127)/(-3048)*((-7)/(7/(-10)))/((-36)/81).
-15/16
What is the value of (5775/75)/(-77)*68?
-68
Evaluate (9/(405/18)*560/4)/(-2).
-28
Calculate 53067/55594*11/(-3).
-7/2
Calculate (4*(-5)/80)/(((-3485)/1972)/(-41)).
-29/5
-54*(6864/(-864))/143
3
Calculate 189*26/91*(-268)/201.
-72
Calculate (2/79*-3)/(242424/80808).
-2/79
Evaluate 2/(8/(-9)*(-1728)/(-25344)).
-33
What is the value of (6/(-56)*-8)/((-2)/(-28))*(-1373)/(-551946)?
2/67
What is the value of (10*(-21)/420)/((-588)/(-84))?
-1/14
Evaluate (352/(-18))/(22668/(-17001)).
44/3
61*2*(21663/(-166))/(-261)
61
What is (-42*1)/(((-9369)/4858)/(-6*(-2)/(-14)))?
-56/3
Evaluate 12/((19840/(-2356))/(-40)).
57
480/3220*9/(180/35)
6/23
What is the value of (-286)/(-65)*60/132?
2
What is the value of (4290/1287)/(-15*(-11)/((-220)/8))?
-5/9
Evaluate (-1)/5*(6/(-4))/(492/(-5202080)*-122).
26
Evaluate (((-14)/(840/(-18)))/(18/(-12)))/(48/10).
-1/24
Evaluate (3900/(-182))/5*(-112)/24.
20
34*(-78)/1989*(-81)/12
9
What is ((-99105)/(-303922))/(-1*(-15)/(-6))?
-3/23
Evaluate ((-18)/90*(-15)/27)/((-66)/(-22)).
1/27
What is the value of (-66)/(-3)*(-184)/92?
-44
210/14*(-1848)/660
-42
Evaluate ((38556/196)/51)/((-48)/56).
-9/2
What is the value of -1*2*(8/((-1152)/(-24)))/1*183?
-61
Evaluate 42/(-385)*((-2530)/15)/23*30/(-468).
-2/39
Calculate ((((-2332)/(-16))/(-11))/(9/(-24)))/((-98)/147).
-53
What is (-1)/(21/28*-3*112/(-12))*-6?
2/7
What is ((-49)/14*6/(-42))/(57/(-190))?
-5/3
What is the value of (13/(-2))/((((-2)/(-9))/((-408)/(-918)))/4)?
-52
Calculate (24/66)/(6120/660)*45/6.
5/17
What is (-180)/1380*-7*(-11)/(-77)?
3/23
What is ((-4)/((-128)/(-8)))/((-4)/8)*(-2888)/(-38)?
38
((-35)/10)/1*51/(-1904)
3/32
Calculate 25596/(-6952)*(-16)/108.
6/11
Calculate (-976)/72*11196/(-4976).
61/2
Evaluate (22/(-132))/((2/1)/(((-126)/7)/9)).
1/6
Calculate 15/720*54/99.
1/88
What is the value of (-84)/(-18)*((-87)/973)/(-29)?
2/139
((1/30)/((-9)/36))/((-96)/54)
3/40
What is the value of ((-2)/1*(-72)/2448)/((-2)/12)?
-6/17
Evaluate (-938)/(-133)*6916/(-728).
-67
Evaluate ((-4)/6*1)/((-33)/21*3493/38922).
52/11
What is the value of (-292)/1679*(-2)/8*5/10*-4?
-2/23
What is 1512/135*(-10590)/2471?
-48
What is the value of (1*(-7)/(-1))/((-168)/552)?
-23
Evaluate ((-28)/1456*-39)/(9/(-6))*92/(-1).
46
What is 201*231/325017*(-63)/(-20)?
9/20
What is the value of (3/27*(-288)/(-24))/(3/(162/(-12)))?
-6
Evaluate (-63)/(-33)*(-6160)/(-1680).
7
What is the value of -5*(-1224)/(-170)*(2/10)/(16/(-20))?
9
Calculate ((-35)/((-1190)/204)*(-24)/70)/(30/150).
-72/7
Calculate 390/(-25)*105*6/126.
-78
128*(-137)/38360*6/(-3)*-5
-32/7
Evaluate (86/(-4))/((-8995)/17990).
43
((-30)/918)/(810/(-972))
2/51
Evaluate (-30)/(960/32)*(-1)/(104/16).
2/13
What is 444/(-4144)*56*17/2?
-51
Calculate ((-20)/(-12))/((-3045)/(-10962)).
6
What is the value of 16*(-4)/(-84)*9/18?
8/21
What is 7*1*(95/(-190))/((-70)/(-8))*15?
-6
What is the value of (-5*7/(-630))/((564/912)/(-47))?
-38/9
What is 161/1104*(-114)/(-266)?
1/16
What is the value of ((-7)/(-140))/((-8)/((-224)/(-21)))?
-1/15
What is the value of ((-23)/(345/6))/((372/(-2821))/((-10)/21))?
-13/9
Calculate ((-100)/72)/((-12)/2520*-35).
-25/3
(-2*(-65)/(-50))/(35/100*(-4)/(-14))
-26
Evaluate 3/(6/10)*46080/(-1536)*2/(-6).
50
Calculate 1*9*(-521866)/138141.
-34
Evaluate (-1)/((5*(-4)/420)/((72/28)/6)).
9
What is the value of 45/6*(-37744)/(-181980)?
14/9
Calculate ((-70)/30*3)/((-48)/(-144)).
-21
What is the value of -3*2/96*-15*(-5848)/(-2193)?
5/2
Calculate (1341/12069)/(-2*(-1)/(-954)).
-53
What is ((-10)/75)/(2666/(-659835))?
33
What is ((-4)/(4/(-1)))/((4059/11)/9)?
1/41
Calculate (-20)/(780/(-65)*((-25)/60)/5).
-20
What is -4*(-4)/(-36)*47/((-1222)/(-39))?
-2/3
What is ((-232)/42)/((-205)/((-229600)/(-320)))?
58/3
Evaluate -3*(-10)/348*12/(-21)*(-1036)/(-370).
-4/29
What is the value of (31/((-2945)/(-3306)))/(((-4)/(-8))/(65/(-52)))?
-87
Evaluate 1*(-4)/136*96/((-312)/(-39)).
-6/17
What is the value of ((-305)/183)/(((-196)/(-9))/(248/186))?
-5/49
Evaluate ((-8)/16)/(((-18)/8)/9)*(-2244)/(-1716).
34/13
10650/(-2414)*476/(-70)
30
What is 6/(-9)*9/6*2565/(-135)?
19
What is (308/8085*-35)/(2/39)?
-26
What is the value of (13/((-117)/12))/((-51)/(38097/(-12)))?
-83
What is 833/147*204/17?
68
(42/27)/(((-12880)/(-138))/70)
7/6
What is ((-268)/335)/(44/550*-1)?
10
What is 2303/94*((-2340)/91)/(-10)?
63
4/6*(-275)/(-1050)*(-252)/(-12)
11/3
(((-1701)/24)/27)/((-21)/12*1)*2
3
Evaluate -1*(-33)/(-44)*48360/(-234).
155
What is the value of (-7)/((48/9)/(-4)*1770/(-30680))?
-91
What is the value of (2/11)/(1631/(-35882))?
-4
What is 78489/5814*104/54?
26
(4*1224/(-192))/(3*1)*432/(-54)
68
What is (-1*(-9)/(-9))/(((-1)/2)/(108/(-342)))?
-12/19
What is (-4070)/(-296)*10/55*60/2?
75
What is ((-132)/1320)/((-12)/(-40))*36?
-12
What is the value of (132/(-88))/((450/5)/(-6))*-18?
-9/5
(-6)/(-135)*26/((-78)/(-15))
2/9
What is the value of (77080/984)/(40/(-24))?
-47
-5*(-489)/(-2282)*2/3
-5/7
What is the value of (((-3)/(-1))/(-3))/(1/312*13)?
-24
What is ((-12016)/(-46562))/((-40)/5)?
-1/31
(-20)/15*2172/26064
-1/9
What is the value of -4*(62/279*9/31)/(-2)?
4/31
(-7)/18*(10080/196)/90
-2/9
Calculate (119*73/17374)/((2/352)/(-1)).
-88
Calculate -9*55/231*(-6006)/3575.
18/5
Evaluate -272*105*45/(-15120).
85
(5/6*((-1677)/10)/(-13))/(16/64)
43
(57/4)/(140/(47880/1539))
19/6
What is the value of (-28)/(-64)*4*(40/(-462))/(460/690)?
-5/22
Evaluate 432/144*12/(-27)*24/56.
-4/7
(3456/(18360/(-170)))/((-8)/(-2))
-8
Evaluate (-3)/22*(-1008)/(-63)*33.
-72
What is ((-3152)/197)/(10/15)?
-24
Calculate (8/20)/((-189)/(-4995))*77/(-44).
-37/2
What is the value of (-4)/14*(-3059)/6992*(-4)/(-30)?
1/60
What is the value of (-45300)/(-21140)*(-4)/(-10)*(-42)/46?
-18/23
Evaluate ((-13)/30)/(103/515)*24.
-52
What is ((48/(-70))/(-6))/(39/(390/(-4)))?
-2/7
What is ((-26)/((-2574)/165))/(1/((-6)/(-2))*7)?
5/7
What is ((-6)/4*((-1026)/(-135))/19)/((-63)/(-14))?
-2/15
Calculate ((-360)/960)/(72/(-336)).
7/4
What is the value of (-10)/111*(54/21)/(28/(-1078)*-55)?
-6/37
Calculate 120/(-560)*(-72)/108.
1/7
What is 147*(-15)/120*((-340)/(-238))/((-15)/(-14))?
-49/2
(2*2)/(3/(66/2684))
2/61
Calculate 4/(-42)*(2064600/222)/310.
-20/7
Evaluate ((-6180)/(-6))/((-720)/2952*-41).
103
-24*((-23506)/(-69))/73*(-6)/7
96
Calculate 2/(-22)*163185/39560.
-3/8
(-2)/(-5)*2550/765
4/3
Calculate ((-8)/20)/(6816/710).
-1/24
Evaluate ((-10)/66)/((-408)/94248).
35
What is the value of ((-4)/80*-4)/((8/36)/(7320/108))?
61
-17*266/(-323)*82/(-41)
-28
What is the value of (-19360)/(-770)*28/16?
44
What is the value of 11/(((-41998)/(-2116))/83)?
46
What is the value of (7/294*21)/(((-14)/2)/(-784))?
56
What is the value of ((-6)/10)/((-27)/(-36))*548/(1639616/4080)?
-12/11
What is the value of ((-56)/196)/(13*(-6)/(-25662))?
-94
What is the value of ((-711)/790)/(((-497)/1065)/((-2)/36))?
-3/28
What is the value of (-2045)/(-2863)*(-56)/20*-1*39/(-1)?
-78
Evaluate (9/(-4)*1)/((12/50)/((-44)/(-110))).
-15/4
Calculate (6/(-5))/(8/(-10))*35/(1400/880).
33
What is ((-72)/(-16)*1)/((1551/6)/(-47))?
-9/11
What is the value of (141/19881*47)/((2/6)/(-1))?
-1
What is (372/(-868))/(2/224)?
-48
Calculate (-16)/(-4)*(-33)/(-132)*-65.
-65
What is (2/(164/(-2337)))/(4/8)?
-57
What is ((-261)/(-174)*16*(-3)/(-2))/((-4)/14)?
-126
What is the value of (2*(-3)/15)/(2432/160*35/20)?
-2/133
Calculate 12*12/160*1045/(-627).
-3/2
What is (-8904)/2544*1*4/973?
-2/139
Evaluate (3/(129/8
|
{
"pile_set_name": "DM Mathematics"
}
|
4 + 1222 = -151*s for s.
-4
Solve -48*v = 182 + 778 for v.
-20
Solve 679 + 5420 = -212*i + 799 for i.
-25
Solve 118*d - 161 = 200 + 1055 for d.
12
Solve -1054*w + 40 = -1094*w for w.
-1
Solve 805 = -q + 798 for q.
-7
Solve 21*m + 6174 = 567*m + 714 for m.
10
Solve -2802 = 54*d - 14*d - 3842 for d.
26
Solve 13*o + 124*o = -137 for o.
-1
Solve -15*i = 105 + 225 for i.
-22
Solve 105*u + 588 + 695 + 712 = 0 for u.
-19
Solve -60*o = -64*o + 52 for o.
13
Solve -190*p + 95 = 553 + 112 for p.
-3
Solve 52977*y - 53037*y - 300 = 0 for y.
-5
Solve 579*s + 11252 = -4960 for s.
-28
Solve -315 = -16*w - 29*w for w.
7
Solve 62223 = -93*r + 63432 for r.
13
Solve 31*n = -796 + 455 for n.
-11
Solve -230 = -24*n + 10 for n.
10
Solve -111750*v + 111708*v = -630 for v.
15
Solve 405*d = 406*d + 13 for d.
-13
Solve 117*r - 51*r = 28*r - 494 for r.
-13
Solve -36756*a = -36735*a - 210 for a.
10
Solve -d - 2*d + 51523 = 51454 for d.
23
Solve -97*n - 36 = -91*n for n.
-6
Solve 0 = -13*x - 463 + 359 for x.
-8
Solve 1236*v + 2602 = 12230 + 11384 for v.
17
Solve -504*c - 874 = 9042 + 668 for c.
-21
Solve -14*n - 961 + 891 = 0 for n.
-5
Solve 4718*v = 4739*v - 189 for v.
9
Solve -17*u = -44*u - 162 for u.
-6
Solve -47*d - 15*d - 1776 = 49*d for d.
-16
Solve 333 = -26*l - l - 180 for l.
-19
Solve 171 = -20*c + 28 - 57 for c.
-10
Solve 1436*g = -1629*g + 125665 for g.
41
Solve 109 = 203*o + 6808 for o.
-33
Solve 59*f - 13*f = 5*f + 205 for f.
5
Solve -29*y + 3*y = 208 for y.
-8
Solve 115*n - 1104 = 1196 for n.
20
Solve 2008*t + 37 = 2014*t + 1 for t.
6
Solve -552*v - 555*v + 1116*v = 99 for v.
11
Solve -5800*d = -5690*d + 4070 for d.
-37
Solve -429 + 3036 = -366*w - 3249 for w.
-16
Solve -83*t = -92*t - 45 for t.
-5
Solve -2*n - 21*n = -71 - 228 for n.
13
Solve -4*r - 2773 + 2693 = -12*r for r.
10
Solve -96 + 167 = -3*i + 134 for i.
21
Solve -44*c + 11567 - 11435 = 0 for c.
3
Solve 28*y + 7497 - 7917 = 0 for y.
15
Solve 82*p = 461 + 466 + 303 for p.
15
Solve -48*n - 608*n - 1614 = 3634 for n.
-8
Solve -5 = 3077*i - 3076*i for i.
-5
Solve -48382*g = -48307*g - 2250 for g.
30
Solve 2*u - 7817 = -352*u + 1387 for u.
26
Solve 0 = -360*g + 177*g + 317*g + 4422 for g.
-33
Solve 0 = -228*z + 1200 - 3252 for z.
-9
Solve 16836 = 1301*t + 102*t for t.
12
Solve 0 = -267*u + 291*u - 384 for u.
16
Solve 82*m - 24*m = 188 + 102 for m.
5
Solve -304*h = 10751 - 3455 for h.
-24
Solve 188 = 115*k - 68*k for k.
4
Solve 0 = 24*n + 145*n - 169 for n.
1
Solve 5*s = -7*s + 16*s + 40 for s.
-10
Solve -233*c = -1292 + 1059 for c.
1
Solve 9329 = -912*k + 2945 for k.
-7
Solve -32 - 332 = -139*p + 113*p for p.
14
Solve 691 + 2866 + 491 = -176*q for q.
-23
Solve 270*d = -4*d - 215 + 4325 for d.
15
Solve 157 + 511 = 185*t - 1367 for t.
11
Solve -277*k + 51*k - 963 = 95*k for k.
-3
Solve 8*l + 23 + 4 = -5 for l.
-4
Solve -77 = -53*v + 42*v + 77 for v.
14
Solve 18653 = 194*j - 653*j + 3965 for j.
-32
Solve 49*n + 372 = -27*n - 48*n for n.
-3
Solve 367*s - 166*s - 252 = 117*s for s.
3
Solve 150*u - 13*u + 1918 = 0 for u.
-14
Solve -44*u = -10358 + 11062 for u.
-16
Solve -17*z - 12 = -3*z - 16*z for z.
6
Solve 168 = 6692*q - 6650*q for q.
4
Solve 222*o - 117*o + 20 = 109*o for o.
5
Solve -753*l + 7902 = 125*l for l.
9
Solve 73*u - 284 = -28 + 401 for u.
9
Solve -46*k = -393*k - 1909 - 3296 for k.
-15
Solve -26*m = -70*m - 308 for m.
-7
Solve -188 + 35 = 161*b + 169 for b.
-2
Solve 0 = -138*b + 159*b - 1 - 293 for b.
14
Solve 265 = 33*y + 166 - 363 for y.
14
Solve 206*a = 1078*a - 1744 for a.
2
Solve 42*j - 625 = 89 for j.
17
Solve 398 - 466 = 17*o for o.
-4
Solve 14059*b - 14030*b + 290 = 0 for b.
-10
Solve -7679 = 306*j - 2477 for j.
-17
Solve w + 11234 = 79*w + 10766 for w.
6
Solve 55 = -34*u + 33 - 46 for u.
-2
Solve -15*i + 715 = -2*i + 910 for i.
-15
Solve -39*v = 41*v - 53*v - 189 for v.
7
Solve 17461*k - 1088 = 17495*k for k.
-32
Solve -5*b - 4*b = -30*b - 273 for b.
-13
Solve 8*t + 198 - 55 = -3*t for t.
-13
Solve -19*u + 53220 = 3*u + 52582 for u.
29
Solve 38*q - 902265 + 902987 = 0 for q.
-19
Solve 1252 - 4524 - 928 = 200*o for o.
-21
Solve 0 = -1580*j + 31006 + 10074 for j.
26
Solve 7*a + 23 + 68 = -91 for a.
-26
Solve -142*o + 274 + 506 = 212 for o.
4
Solve 14*o + 56*o + 348 = 12*o for o.
-6
Solve 25354 - 24370 = -82*a for a.
-12
Solve -z - 3*z = -20*z - 368 for z.
-23
Solve 186*w - 2500 = -454 for w.
11
Solve 1274*j - 1348*j = -774 - 1150 for j.
26
Solve -196 = -70*n + 150 + 74 for n.
6
Solve -1222 = 5174*d - 5328*d - 144 for d.
7
Solve -305*k - 342*k = -110*k + 537 for k.
-1
Solve 218*b - 1273 = 2291 - 76 for b.
16
Solve 1182 = -139*b - 131 - 633 for b.
-14
Solve 110*o - 747 + 2758 = -519 for o.
-23
Solve 0 = -66*f - 320 + 112 - 848 for f.
-16
Solve 26*l = 28*l - 19*l + 17 for l.
1
Solve -33*d = 775 - 178 + 162 for d.
-23
Solve -178 - 247 = 39*a + 43 for a.
-12
Solve -2116 + 1300 = 68*m for m.
-12
Solve -28*w - 17 = -44 + 587 for w.
-20
Solve -36146 + 37324 = 62*w for w.
19
Solve -62*s + 269*s + 413*s - 17360 = 0 for s.
28
Solve -194*w + 722 = -320*w - 790 for w.
-12
Solve 47 - 68 = -p - 35 for p.
-14
Solve 20*z - 9*z = 33*z - 352 for z.
16
Solve 10*d - 300 = -170 for d.
13
Solve 64*h + 64*h - 1152 = 0 for h.
9
Solve 68*m - 720 = 7*m + 25*m for m.
20
Solve -5402 = 185*d - 1887 for d.
-19
Solve 4975 = -602*y + 159 for y.
-8
Solve 0 = -8*l - 1304 + 1416 for l.
14
Solve 300 = 99*r + 201 for r.
1
Solve 6*a - 3*a + 10 + 2 = 0 for a.
-4
Solve -52*u - 70*u + 97*u = 575 for u.
-23
Solve -863*y + 400 = -843*y for y.
20
Solve -72*h - 43*h + 444 = -4*h for h.
4
Solve 451*n = 3372 + 6099 for n.
21
Solve -99 = 4758*o - 4767*o for o.
11
Solve 0 = -8*n - 32*n - 320 for n.
-8
Solve 0 = -3448*n + 3442*n + 54 for n.
9
Solve -54*s - 1936 + 1100 = -10*s for s.
-19
Solve 4680 - 5020 = -20*r for r.
17
Solve 163 = -46*n + 347 for n.
4
Solve -123*i - 77 = 403 + 135 for i.
-5
Solve 1653*m + 1572 = 1571*m - 68 for m.
-20
Solve -62*q = 3378 - 4060 for q.
11
Solve 232*s - 378 = 106*s for s.
3
Solve 121 = -15*x + 36*x - 32*x for x.
-11
Solve 31906 = -76*i + 30158 for i.
-23
Solve 33*h + 839*h - 25205 = 83 for h.
29
Solve -1082 = -49*p - 249 for p.
17
Solve 32*y + 122 + 294 = 0 for y.
-13
Solve 216 = 50873*z - 50891*z for z.
-12
Solve -24*q = 89*q - 684 - 446 for q.
10
Solve -296 = 66*k - 1418 for k.
17
Solve 0 = -52*x - 85*x + 2740 for x.
20
Solve -2219*d + 4430*d = 2224*d - 52 for d.
4
Solve -9*k + 49*k = -287 - 113 for k.
-10
Solve -6*y - 181202 = -181226 for y.
4
Solve 100*h + 532 = -33*h for h.
-4
Solve 94*j - 44*j = -52*j - 918 for j.
-9
Solve 16*f - 92 + 95 = 131 for f.
8
Solve -556*v - 772*v + 35938 = 2738 for v.
25
Solve -45 - 57 = -10*z - 22 for z.
8
Solve -664*l + 640*l = 120 for l.
-5
Solve -464 + 334 = 26*i for i.
-5
Solve -493*y = -6656 - 246 for y.
14
Solve 0 = 12153*p - 12399*p - 3936 for p.
-16
Solve 4*u = -12*u - 522 + 538 for u.
1
Solve a + 41*a = -5*a - 564 for a.
-12
Solve 0 = -1001*o + 1078*o - 1232 for o.
16
Solve 30*x - 7*x - 14*x = -117 for x.
-13
Solve 2488 = -75*c + 1963 for c.
-7
Solve -1282*x + 1872 = -1399*x for x.
-16
Solve -1180*c - 143*c + 15741 = 108*c for c.
11
Solve -120*d - 620 - 832 = 348 for d.
-15
Solve -c = -27*c + 240 + 98 for c.
13
Solve 192*k + 24 = 196*k - 32 for k.
14
Solve 1052 = 31*p + 1858 for p.
-26
Solve 21220 = 972*v + 269*v - 180*v for v.
20
Solve 145*o + 1338 = -715 + 23 for o.
-14
Solve 0 = 2*r + 14*r - 114 - 46 for r.
10
Solve 266*m = -422*m + 14448 for m.
21
Solve -3080 = -250*h + 140*h for h.
28
Solve s - 5964 = -5954 for s.
10
Solve 26*c = 9*c + 238 for c.
14
Solve 16*q - 270 = -14 for q.
16
Solve 174*z + 337 = -1751 for z.
-12
Solve 64*y - 124*y = -59*y - 2 for y.
2
Solve 18*k = 48*k - 630 for k.
21
Solve -1334*q = -1343*q + 144 for q.
16
Solve 0 = 15123*x - 15107*x - 16 for x.
1
Solve 441*h - 175*h = -1177 - 2015 for h.
-12
Solve 0 = -42*r - 402 + 66 for r.
-8
Solve -629 = 54*x - 753 - 1604 for x.
32
Solve 8*x + 22 = 55*x - 72 for x.
2
Solve 19*s + 52 + 155 = 55 for s.
-8
Solve -1935 + 435 = -r + 101*r for r.
-15
Solve 33*q + 58*q + 15708 = -470*q for q.
-28
Solve 308 = -771*y + 749*y for y.
-14
Solve -495*a = -585*a + 707 + 283 for a.
11
Solve -926*i + 889*i = 518 for i.
-14
Solve 682 = 155*r + 62 for r.
4
Solve -804*a + 34 = -821*a for a.
-2
Solve -21*y - 31
|
{
"pile_set_name": "DM Mathematics"
}
|
ithout replacement from {t: 1, r: 18}?
4/19
Two letters picked without replacement from {b: 2, c: 1, l: 3, n: 2, x: 2, r: 2}. What is prob of picking 2 l?
1/22
What is prob of picking 2 d when two letters picked without replacement from zxzddehzzxdtzdhd?
1/12
What is prob of picking 1 g and 2 l when three letters picked without replacement from onggggogolloglgllo?
35/408
Four letters picked without replacement from {t: 1, p: 3, b: 3}. What is prob of picking 2 p, 1 b, and 1 t?
9/35
Four letters picked without replacement from {s: 9}. What is prob of picking 4 s?
1
Calculate prob of picking 2 j when two letters picked without replacement from {e: 13, j: 5, h: 1, n: 1}.
1/19
Four letters picked without replacement from yssyssy. What is prob of picking 4 y?
0
Three letters picked without replacement from cggxkhkigkkk. Give prob of picking 1 i and 2 g.
3/220
Calculate prob of picking 1 w and 2 t when three letters picked without replacement from {t: 3, w: 4, q: 4}.
4/55
Calculate prob of picking 2 k and 2 m when four letters picked without replacement from kkmmkmmkkkkkkkkmkkk.
455/1938
Three letters picked without replacement from {h: 1, v: 2, i: 1}. Give prob of picking 1 i and 2 v.
1/4
Two letters picked without replacement from {w: 4, j: 1, i: 2, n: 3, z: 4, b: 1}. What is prob of picking 2 w?
2/35
What is prob of picking 2 c and 1 r when three letters picked without replacement from rrccrrrrrrcrcr?
15/91
Three letters picked without replacement from jjwjwjjjwwjww. What is prob of picking 3 j?
35/286
What is prob of picking 2 t when two letters picked without replacement from {b: 17, t: 2}?
1/171
Three letters picked without replacement from llll. What is prob of picking 3 l?
1
Two letters picked without replacement from {y: 5, l: 4, f: 8, b: 1}. What is prob of picking 2 f?
28/153
Calculate prob of picking 3 f when three letters picked without replacement from {p: 3, f: 5, i: 3, d: 6}.
1/68
Calculate prob of picking 1 q and 2 d when three letters picked without replacement from qdddddddqdd.
24/55
Calculate prob of picking 2 q when two letters picked without replacement from dhhhqdqhhq.
1/15
Two letters picked without replacement from {j: 3, n: 3, x: 6, i: 3, s: 2}. Give prob of picking 1 s and 1 x.
3/34
What is prob of picking 1 a and 1 p when two letters picked without replacement from mmlmfmpmpmmmppmmfpaf?
1/38
Four letters picked without replacement from lyrxvex. Give prob of picking 2 x, 1 y, and 1 l.
1/35
Two letters picked without replacement from {d: 1, z: 2, y: 3, c: 3, n: 2, f: 4}. What is prob of picking 1 n and 1 c?
2/35
Three letters picked without replacement from {u: 2, o: 7, m: 1, i: 8}. What is prob of picking 2 o and 1 i?
7/34
Two letters picked without replacement from ppapkkpja. Give prob of picking 2 p.
1/6
Four letters picked without replacement from llyyyyl. What is prob of picking 3 y and 1 l?
12/35
Calculate prob of picking 3 n when three letters picked without replacement from {n: 3, p: 3, h: 1, y: 1, v: 2}.
1/120
Three letters picked without replacement from fkoffixfx. What is prob of picking 1 k, 1 o, and 1 i?
1/84
Calculate prob of picking 1 j and 3 q when four letters picked without replacement from {q: 9, j: 7}.
21/65
What is prob of picking 2 v and 1 z when three letters picked without replacement from ssjvjzsjzjjv?
1/110
Three letters picked without replacement from {k: 9, c: 3}. What is prob of picking 3 k?
21/55
Three letters picked without replacement from {x: 16, s: 4}. What is prob of picking 1 x and 2 s?
8/95
Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {i: 3, w: 3, g: 2}.
9/28
Calculate prob of picking 2 p and 1 x when three letters picked without replacement from {p: 3, s: 7, x: 3}.
9/286
What is prob of picking 2 l when two letters picked without replacement from {l: 6, w: 2}?
15/28
Three letters picked without replacement from {p: 2, y: 8, w: 1, o: 1, k: 3, r: 2}. Give prob of picking 1 p, 1 y, and 1 k.
6/85
Calculate prob of picking 1 x and 3 d when four letters picked without replacement from {d: 4, x: 10}.
40/1001
Calculate prob of picking 2 v when two letters picked without replacement from {z: 2, g: 6, v: 3, d: 1, a: 4}.
1/40
Three letters picked without replacement from nmmkmno. Give prob of picking 2 k and 1 m.
0
Four letters picked without replacement from kqqqqqqkkkkqwqqkqqk. What is prob of picking 1 q and 3 k?
385/3876
Three letters picked without replacement from {l: 9, p: 4, e: 2, m: 4}. What is prob of picking 1 m and 2 p?
8/323
Calculate prob of picking 3 v when three letters picked without replacement from vvvvv.
1
What is prob of picking 2 o, 1 l, and 1 h when four letters picked without replacement from oliffidofhi?
1/330
Calculate prob of picking 1 g, 1 i, and 1 e when three letters picked without replacement from {e: 1, t: 4, o: 2, i: 1, g: 2, j: 2}.
1/110
Calculate prob of picking 3 n when three letters picked without replacement from {b: 4, n: 10}.
30/91
Four letters picked without replacement from {q: 6, i: 2}. What is prob of picking 2 i and 2 q?
3/14
Two letters picked without replacement from sssssssssjssssssss. What is prob of picking 2 s?
8/9
What is prob of picking 1 p, 1 t, and 1 z when three letters picked without replacement from zypttz?
1/5
What is prob of picking 2 j and 2 y when four letters picked without replacement from yjyyjj?
3/5
What is prob of picking 1 r and 1 x when two letters picked without replacement from vlwvlwxxrxwm?
1/22
What is prob of picking 1 k and 1 q when two letters picked without replacement from {b: 4, k: 2, q: 1, a: 2}?
1/18
Two letters picked without replacement from {j: 2, o: 2, x: 4, e: 5}. What is prob of picking 2 o?
1/78
Calculate prob of picking 3 n and 1 e when four letters picked without replacement from enelfbee.
0
Two letters picked without replacement from {m: 1, s: 19}. Give prob of picking 2 s.
9/10
What is prob of picking 2 q when two letters picked without replacement from {q: 2, j: 3}?
1/10
Four letters picked without replacement from crcrcpcrnpnnrnn. What is prob of picking 1 c, 2 r, and 1 p?
16/455
Calculate prob of picking 1 n and 1 f when two letters picked without replacement from uuufnffnufuufff.
2/15
What is prob of picking 2 m when two letters picked without replacement from mmmmmm?
1
Four letters picked without replacement from {r: 6, x: 2}. What is prob of picking 2 x and 2 r?
3/14
Four letters picked without replacement from ddppppdddp. Give prob of picking 4 p.
1/42
Calculate prob of picking 2 l and 1 d when three letters picked without replacement from {p: 1, d: 2, e: 6, l: 2, k: 3}.
1/182
What is prob of picking 2 c and 2 h when four letters picked without replacement from iohhccicchiochh?
20/273
Two letters picked without replacement from ooooooooololooooooo. What is prob of picking 1 l and 1 o?
34/171
Calculate prob of picking 2 d when two letters picked without replacement from {b: 4, d: 5, x: 4, p: 2}.
2/21
What is prob of picking 2 r when two letters picked without replacement from lxrxlxllr?
1/36
Three letters picked without replacement from ttttttbtbbbttttttbtt. Give prob of picking 3 t.
91/228
Four letters picked without replacement from {d: 2, c: 7}. What is prob of picking 4 c?
5/18
Two letters picked without replacement from {z: 1, d: 4, h: 4, p: 3, i: 1}. What is prob of picking 2 p?
1/26
Three letters picked without replacement from fffrfrff. What is prob of picking 2 f and 1 r?
15/28
Calculate prob of picking 1 z and 3 w when four letters picked without replacement from {w: 11, z: 1}.
1/3
Two letters picked without replacement from mbgqn. What is prob of picking 1 g and 1 n?
1/10
Three letters picked without replacement from {k: 5, s: 6, h: 3, r: 1}. Give prob of picking 2 s and 1 r.
3/91
What is prob of picking 1 y, 1 l, 1 c, and 1 d when four letters picked without replacement from cndyl?
1/5
What is prob of picking 1 o and 3 s when four letters picked without replacement from {o: 5, g: 1, q: 4, s: 5}?
10/273
Three letters picked without replacement from isssiis. What is prob of picking 3 i?
1/35
Calculate prob of picking 1 l, 1 a, 1 p, and 1 r when four letters picked without replacement from {i: 5, s: 3, p: 2, a: 3, r: 1, l: 1}.
2/455
What is prob
|
{
"pile_set_name": "DM Mathematics"
}
|
y**2) - 3*y**5 + 6*y + y**2 - 6*y.
-5*y**5 + y**2
Expand 2*i**2 - 5*i**2 + 4*i**2 + (42*i + 2*i - 19*i)*(2 - 2 + i).
26*i**2
Expand (-x - 2*x + 13*x)*(2*x**4 + 0 + 0) + (-2*x - 2*x**3 + 2*x)*(3 - 3 + 3*x**2).
14*x**5
Expand (w - 2*w + 0*w)*(0*w**2 + 2*w**2 - 3*w**2).
w**3
Expand -2*b**4 + b**4 + 2*b**4 + (2*b**2 + 2 - 2)*(-4*b + 4*b - b**2) + 2*b**4 + 4*b**4 + 0*b**4 + (0*b**3 + 0*b**3 - 2*b**3)*(4*b - 2*b - b).
3*b**4
Expand -2*b**2 - 7*b**2 - b**2 + (-3*b + 0*b + 2*b)*(-4*b + 3*b - b) + 3*b**2 + 0*b**2 - 4*b**2.
-9*b**2
Expand (0 + 0 + 2*p**3)*(0*p**2 - p**2 + 0*p**2) - 3*p**4 + p**5 + 3*p**4 + p**5 + 0*p**5 + p**5 + 9*p**5 + 8*p**5 - 19*p**5.
-p**5
Expand (-13*p**4 - 20*p**4 + 7*p**4)*(2*p + 0 + 0) + p**3 + 2*p**5 - p**3.
-50*p**5
Expand (-4*z**3 + 2*z**3 - z**3 + (4*z**2 + 4*z**2 - 4*z**2)*(-z + 0*z + 2*z))*(0 + 4 - 2)*(-z + 0*z + 2*z).
2*z**4
Expand (2*z**4 - 3*z**4 - z**4)*(23 - 16 + 26 + 18).
-102*z**4
Expand (-19*f**2 + 22*f**2 + 19*f**2)*(2*f**3 - 3*f + 3*f + (-f**2 - 2*f**2 + 4*f**2)*(3 + f - 3)).
66*f**5
Expand (4*n**2 - n**2 + 2*n**2)*(-3*n**3 + 3*n**3 - n**3).
-5*n**5
Expand b**5 + 0*b**5 + 0*b**5 + (-2*b**2 + 3 - 3)*(3*b**3 - 6*b**3 + b**3) + 2*b**5 + 0*b + 0*b - 2*b**5 + 0*b + 0*b + 16*b**2 - 16*b**2 - 3 - 2*b**5.
3*b**5 - 3
Expand -17 + 5*b - 11 - 4*b + (-b - b + b)*(2 - 3 + 0).
2*b - 28
Expand (0 - 2*l + 0)*(-4*l - l**3 + 4*l) + 3*l**4 + 0*l**4 + 2*l**4.
7*l**4
Expand (3*h - 2*h - 2*h - 5)*(-5 + 3 + 1).
h + 5
Expand 3*z**3 - 4*z**3 + 0*z**3 + (-z + z - z**2)*(15*z + z + 10*z) - z**3 - 4 + 4.
-28*z**3
Expand (2 - 2*y - 4 + 0)*((-3*y - y + 2*y)*(0 - y + 0) - 2*y - y**2 + 2*y).
-2*y**3 - 2*y**2
Expand (-16 + 9 - 9)*(x**4 + 1 - 1).
-16*x**4
Expand (-15 - 52 - 67 + 1 + 0 + 0 + (-1 - 2 + 5)*(4 - 1 - 1))*(-2 + 2 + 2 - 2*n).
258*n - 258
Expand ((-1 + 1 + k)*(k**2 - 4*k**2 + k**2) - 3 - k**3 + 3)*(-6*k + 0*k + 4*k).
6*k**4
Expand (-4*u + 4*u + 2*u**2)*(-3 + 5 + 0) + (17*u + 45 - 45)*(-4*u + u + u).
-30*u**2
Expand (p + 1 + 2*p - 4*p)*(3*p - 5 + 4 - 1).
-3*p**2 + 5*p - 2
Expand (2*y**2 + 2*y**2 - 3*y**2)*(-3*y**2 + 3*y**2 - y**2) + (-2*y + 5*y - y)*(-4*y**3 + 3*y**3 + 0*y**3).
-3*y**4
Expand 0*k**4 - 3*k**4 + k**4 + (-3*k**2 - k**2 + 0*k**2)*(-2*k**2 - 2*k**2 + 5*k**2).
-6*k**4
Expand u**3 - u**3 - u**3 + 2*u**3 + 4*u**3 - 5*u**3 + (0 + u + 0)*(u**2 + 47*u - 47*u).
u**3
Expand 2*i - i - 2*i + (-3 + 3 - 2)*(-1 + 1 - 2*i) - 2*i + 3*i + 2*i + 2*i - i + 0*i.
7*i
Expand (-3 - q + 3)*(-5*q - 2*q + 4*q) - 2 + 3 - 6*q**2 + 2*q**2.
-q**2 + 1
Expand (1 - 2*c - 1 + (-3*c + 0*c + 2*c)*(-3 - 1 - 2))*(3 - 2 - 2).
-4*c
Expand (-j + j - 2*j)*(0 - 2 + 4)*(-j**2 - j + j).
4*j**3
Expand (-5 + 5 - j)*(-10 + 6 + 9)*(-3*j + j + 0*j)*(-2*j**3 + j**3 + 0*j**3).
-10*j**5
Expand (0*u**2 - 3*u**2 + 2*u**2)*(2*u - 2*u + u) + (u - u**2 - u)*(0*u - u + 3*u).
-3*u**3
Expand (-3*x + 0*x + 5*x)*(-74*x + 53*x - 122*x) + x**2 + 0 + 0.
-285*x**2
Expand (3*c - 3*c - 3*c)*(4*c + c - 3*c) + 3*c**2 - 2*c**2 + 0*c**2.
-5*c**2
Expand (-7*o - 13 + 2*o + 3*o + (0 + 4 - 2)*(-1 + 1 - 2*o) + 5*o + 0*o - 3*o)*(-3*o**2 + 4*o**2 - 3*o**2).
8*o**3 + 26*o**2
Expand 3*y**2 + y**2 - 3*y**2 + 14 + (-3*y + 3*y - 2*y)*(2*y - 4 + 4).
-3*y**2 + 14
Expand 0*j + j - 2*j + j - 2*j + 5*j + j + 0 + 0 + (-4*j - j + 3*j)*(-3 + 1 + 3) + j - j - j.
j
Expand ((2*f - 5*f + f)*(1 - 2 + 3) - f + 0*f + 0*f)*(3*f - 2*f + f).
-10*f**2
Expand (0 + f + 0)*(f + 2*f - f) + (-4*f**2 + f**2 - 17*f**2)*(-3 + 4 + 1).
-38*f**2
Expand (0 + 0 + 2)*(3*u**2 - 3*u**2 - 2*u**2) - u**2 + 5*u**2 - 3*u**2 + (-u + u - u**2)*(1 + 0 - 3).
-u**2
Expand -5*p + 0*p + p + 5*p - p - 2*p - p + p - 2*p - 4 + 4 - p + (1 + 1 - 1)*(-4*p + 0*p + 3*p) - p + 3*p - 3*p + p - p - 2*p.
-9*p
Expand (-2 - 1 + 1)*(1 + 0 - 2 + (0 + 3 - 1)*(0 + 4 - 3) - 4 + 3 + 3 + 3 + 0 - 1 - 3 - 2 + 4 + 2 + 0 + 2)*(4*y - 3*y - 2*y).
16*y
Expand (-4*d + 3*d + 6*d)*(-d - d - d)*(-5*d + d + 3*d).
15*d**3
Expand (3 - 2 + 0 + (0 - 2 - 1)*(3 + 0 - 1) + 1 - 3 + 0)*(z - 2 + 2).
-7*z
Expand (-2*p**2 + 3*p**2 + 0*p**2)*(-3 + p + 3 + 7*p - 2*p + 10*p + (5 - 1 - 3)*(-2*p + 4*p + 0*p)).
18*p**3
Expand (-2*f**2 - 2*f + 2*f)*(-7*f**2 - f + 2*f**2 - 32*f**3 + 30*f**3).
4*f**5 + 10*f**4 + 2*f**3
Expand (5 - 5 + 2*f**2)*(-3*f**2 + 0*f**2 + f**2) - 1 + 1 + f**4 + f**3 - f**3 + 2*f**4 + (3*f**3 - 2*f**3 - 2*f**3)*(3*f + 2 - 2) + f**4 - 6*f**4 + 3*f**4.
-6*f**4
Expand (-c - 2*c + 2*c)*(5*c - 2*c - c) + 7*c**2 - 10*c**2 + 2*c**2.
-3*c**2
Expand (-u**3 - 19*u**3 + 0*u**3)*(-u**2 + 5*u**2 - 2*u**2).
-40*u**5
Expand (-3*p - 2 + p + 4*p)*(-p**2 - 33*p + 33*p).
-2*p**3 + 2*p**2
Expand (0*r + 2*r + 0*r)*(0*r**3 + 2*r**2 - r**3 - r**2).
-2*r**4 + 2*r**3
Expand (3*a**2 - 3*a**2 + a**2)*(-4*a + 4*a + a**2) + a - a + 2*a**4 + (3*a - a - a)*(6*a**3 + 9*a**2 - 9*a**2).
9*a**4
Expand (-2 + 1 + 3)*(0*k - 5*k + 8*k) - 2 + 2*k + 2.
8*k
Expand (0*a - 4*a + 3*a)*(0 - 1 - 1 + 17*a**2).
-17*a**3 + 2*a
Expand ((0*w - 3*w + w)*(-5*w + 3*w + 0*w) + w**2 + 4*w - 4*w)*(-1 + 2 + 10).
55*w**2
Expand (0*p**3 + 0*p**3 + 2*p**3)*(-2*p - 1 + 1) + (-2 - p**2 + 2)*(-4*p**2 + 3*p**2 - 2*p**2).
-p**4
Expand (-3 - 5 + 6)*(-2*m + 5*m - 2*m)*(-3 + 7 - 3)*(7*m + 3*m - 11*m).
2*m**2
Expand (q**3 + 3*q**3 - 2*q**3)*(5 - 2 - 1 + 5*q**2).
10*q**5 + 4*q**3
Expand (-3*y - 2*y + 9*y)*(-3*y**3 - y**3 - y**3) + (0*y + 0*y - 2*y**2)*(2*y**2 - y + y).
-24*y**4
Expand (3*i - 15*i + 41*i)*(-2 - 1 - 1)*(1 + 3 - 3 + (4 + 1 - 3)*(1 + 1 + 0) + 3 + 2 - 4).
-696*i
Expand (-6 + 6 - s**4)*(-1 + 1 - s) - 3*s**5 - s + s.
-2*s**5
Expand 21*q**4 + 20*q**3 - 20*q**3 + (-4*q - q + 4*q)*(0*q + 2*q**3 + 0*q).
19*q**4
Expand 3*z**2 + 2*z - 2*z**4 - 3*z**2 + z**4 - 4*z**4 + z**4 + (0*z**4 + z**4 - 3*z**4)*(0 - 4 + 5) - 3*z**4 + 3*z**4 - 5*z**4.
-11*z**4 + 2*z
Expand 6*w**2 - 6*w**2 - 7*w**4 + (5*w**3 + w**3 - 4*w**3)*(3*w + 0*w - w).
-3*w**4
Expand 0*l + 0*l + l**3 + (l**3 - 5*l**3 + 2*l**3)*(-3 + 3 - 2) + 0*l**3 + 2*l**3 - 3*l**3.
4*l**3
Expand (4 - 3 - 4*l + 0)*(-3 + 2 + 0).
4*l - 1
Expand 5*h**5 - 204 - h**2 + 204 - 4*h**3 + (-2*h**4 + 3*h**4 + h**4)*(2 + 2*h - 2).
9*h**5 - 4*h**3 - h**2
Expand (2*f + 2*f - 6*f)*(0 - 3 + 2)*(-4*f + 0*f - f).
-10*f**2
Expand (6 + 0 + 2)*(2 + 0*d - d - d) - 1 + 1 - 2*d.
-18*d + 16
Expand (0*g - 2*g + 3*g)*(-2 + 1 + 2) + (-5 + 3*g + 5)*(-3 + 3 + 6) - 2*g + 2*g - g + 3 - 3 - 2*g - 4*g + 2*g + 0*g + (-1 + 1 - g)*(-2 - 2 + 5).
13*g
Expand (6 - 5 - 3)*(-10*h**2 + 5*h**2 + 24*h + 6*h**2).
-2*h**2 - 48*h
Expand (-7 - 4*v**2 + 8*v**3 - 9*v**3 + 2*v**2)*(-4 + 4 + 2).
-2*v**3 - 4*v**2 - 14
Expand -3*v**3 + 2*v**3 + 2*v**3 - v**3 - 3*v**3 + 2*v**3 + (-2*v - 5*v + 3*v)*(-v**2 + 0*v**2 - v**2) - 2*v**3 - 3*v**2 + 3*v**2.
5*v**3
Expand (-4 - c + 4)*(-3 + 4 + 0)*(-4*c**2 + c**2 + 4*c**2).
-c**3
Expand -7*u**4 + 6*u**4 - 9*u**4 + u**4 + u**4 + 0*u**4 + (0*u + 2*u - u)*(-2*u**3 - 3*u**3 + 4*u**3) - 2*u**4 - 3 + 3.
-11*u**4
Expand (7*k - 2*k - 3*k)*(-2*k + 5*k - 4*k + (3 - 4 + 0)*(-1 + 1 + 2*k) + k - 4*k + 4*k).
-4*k**2
Expand 2*o**3 - o - o**3 + 0*o**3 + (-o**2 - o**2 + o**2)*(-o + 2*o - 3*o) + 3*o**3 + 0*o**3 - 2*o**3.
4*o**3 - o
Expand (2*b + 0*b + 0*b)*(0*b**3 - 2*b**3 + b**3)*(-1 - 4*b + 7*b + 0).
-6*b**5 + 2*b**4
Expand 4*i**3 - 3*i**3 - 3*i**3 + (-4*i + 2*i + 0*i)*(-4*i**2 - i + i) + (3*i**2 - i**2 - i**2)*(2*i + 2 - 2).
8*i**3
Expand (n - 3*n + 4*n)*(0 - 2 + 0) - n + n + n + 10 - 4*n - 10 + 5*n - 2*n + 0*n - n + 2*n + 0*n + (0*n + 3*n - n)*(2 - 3 + 3) - 2 - 2*n + 2.
-n
Expand -u - u**5 + u + (9*u + 4*u - 6*u)*(3*u**4 - 3*u**4 + u**4) + u**5 - 6*u**4 + 6*u**4.
7*u**5
Expand -4*c**3 + 26*c**3 - c**3 - 3*c**3 + 4*c**3 - 3*c**3 - 2*c**3 + 0*c**3 + 5*c**3 + (2*c**2 - 3*c**2 + 0*c**2)*(c + c + 0*c) - 2*c**3 + 0*c**2 + 0*c**2.
18*c**3
Expand (-6*p + 2*p + 3*p)*(2*p + 2*p - 3*p)*(0*p**2 + 0*p**2 + p**2).
-p**4
Expand -k**4 - 2*k**2 + 2*k**2 + (0 + 0 + 2*k**4)*(3 - 6 + 2) + (-3*k + 2*k**2 + 3*k)*(-k**2 - 5*k**2 + 5*k**2) + (-3 + 3 - 2*k)*(2*k**3 + 0*k + 0*k).
-9*k**4
Expand 3 - 3 + 3*x**2 + 2 - 2 - 2*x**2 + (0*x + 0*x - x**2)*(2 - 5 + 2).
2*x**2
Expand -3*j**4 + 3*j**2 - 3*j**2 + (j + 3*j - 2*j)*(2*j**3 + 2*j**3 - 6*j**3) + j**4 - 3*j**4 + 4*j**4 + 5*j**4 - 3*j**4 - 3*j**4.
-6*j**4
Expand (3 + 3 - 7)*(u - 3*u + 0*u)*((0 - 2 + 0)*(-5 + 5 + 2) + 2 - 2 - 2).
-12*u
Expand (3 - 4 + 0)*(-8*q**2 + 13*q**2 - 17*q**2)*(0 - 3*q + 0).
-36*q**3
Ex
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 7*h + 4. Let u be j(5). What are the prime factors of -18*-2*(-1)/u?
2, 3
Let d be (-120)/54 + 4/18. Let h be (1 - 1) + (-2)/d. What are the prime factors of (-10)/5 - (h - 9)?
2, 3
Let z be (0/(-1))/(-1) - -4. What are the prime factors of (34/8)/(z/16)?
17
Let k = 10 + -6. Let g(b) = -5 + b**3 - 3*b + 6*b**2 + 0 + k - 5. What are the prime factors of g(-6)?
2, 3
Let w be (-2)/(-10) - (-6)/(-30). Suppose 3*i - i - 66 = w. What are the prime factors of i?
3, 11
Suppose 2 = 4*n - 14. Suppose -a + 2*a - 3*l + 3 = 0, -n*l + 16 = 0. Let c = a + -2. What are the prime factors of c?
7
Suppose 330 = 5*q + 5*m, -q - 4*m + m + 72 = 0. List the prime factors of q.
3, 7
Suppose 0 = -5*i + 323 + 172. What are the prime factors of i?
3, 11
Suppose 4*x = -2*n, 7*x = -5*n + 4*x + 14. Suppose -70 = -t - n*t. List the prime factors of t.
2, 7
Let f = -22 + 25. What are the prime factors of f?
3
Suppose -2*t + 1 = -5*w, -4*w + 3*w = -5. List the prime factors of t.
13
Let a = 92 + -17. Suppose 4*q - 4*v - 132 = 0, 2*q = -0*v - v + a. What are the prime factors of q?
2, 3
Let v be 2/(-12) - 4034/(-12). List the prime factors of 2/(-3) + v/18.
2, 3
Suppose -4*b + 9*b + c = -65, -b + 3*c - 13 = 0. Let d = b + 24. What are the prime factors of d?
11
Suppose -3*f + 4*f = 24. What are the prime factors of f/10 + (-2)/5?
2
Suppose -n = -2*k - 31 - 20, -5*k = 3*n - 131. Suppose -2*t + 3*h + n = 0, t + 2*h = h + 16. What are the prime factors of t?
19
Suppose 3*k - 63 = 183. List the prime factors of k.
2, 41
Suppose -21 = -3*g + q, 2*g - 7 = g - 5*q. Suppose 5*r - g*r + 26 = 0. List the prime factors of r.
13
Suppose -4*a = -a - 9. Suppose -5*h = -22 - a. What are the prime factors of h?
5
Suppose 36 = 26*x - 30*x. What are the prime factors of (3/x)/(1/(-57))?
19
Suppose -l + 14 = 3*i, -i + l + 6 = -0*l. Suppose 5*k = -i*c + 15, 2*k = 2*c + k - 9. Suppose -2*j = -0*j - c. List the prime factors of j.
2
Let x be (-6)/1*(-3 + 4). Let v be (3/x)/(1/12). Let a = v + 11. What are the prime factors of a?
5
Let p be (-19 + 4/2)/1. Let x = p - -11. Let f = x - -9. What are the prime factors of f?
3
Suppose -5*l + 6 = -9. Suppose -l*r - 18 = 30. Let s = 27 + r. List the prime factors of s.
11
Let g(d) = -2 - d + 2 + 4*d**2. Let k be g(-1). Suppose -k*q + 44 = 3*l, l = q + 5*l - 19. List the prime factors of q.
7
Let k(c) = -c**3 + 19*c**2 - 16*c - 4. List the prime factors of k(18).
2
Let q = -27 + 41. List the prime factors of q.
2, 7
Suppose 2*c - t - 416 = -2*c, 0 = -5*c - 2*t + 507. List the prime factors of c.
103
Let h = 393 - 145. What are the prime factors of h?
2, 31
Let l = -67 + 129. List the prime factors of l.
2, 31
Suppose 3*z - 51 = -0*z. What are the prime factors of z?
17
Suppose 2*w + 3*w - 50 = -5*u, 0 = w + 3. Let p = -12 + 4. Let d = u + p. List the prime factors of d.
5
Let g(z) = -z**3 - 3*z**2 + 2*z - 2. Let a = 3 - 15. Let n = 8 + a. What are the prime factors of g(n)?
2, 3
Let m = 19 - 25. Let c = 15 + m. What are the prime factors of c?
3
Let w(f) = -f**2 + f - 1. Let q(h) = h - 49. Let r(b) = -q(b) + 2*w(b). What are the prime factors of r(0)?
47
Let r be -3*1*(-4)/12. Suppose 4*z - 65 = -r. List the prime factors of z.
2
Let c = -50 - -210. What are the prime factors of c?
2, 5
Suppose -o + 0*o + 6 = 0. What are the prime factors of 4/o + 14/6?
3
Let c = 137 + -37. Suppose -c = -4*o - 0*o. What are the prime factors of o?
5
Let s(v) be the first derivative of -11*v**2/2 + 1. What are the prime factors of s(-1)?
11
Let x(n) = n**2 + 6*n - 4. List the prime factors of x(3).
23
Let o(m) = -m**3 + 13*m**2 - 15*m + 19. List the prime factors of o(9).
2, 13
Let f = -1 - -11. What are the prime factors of f?
2, 5
Suppose 9*f - f - 200 = 0. What are the prime factors of f?
5
Let n(h) = h + 31. Let z(w) = 2*w + 61. Let d(b) = 5*n(b) - 2*z(b). What are the prime factors of d(0)?
3, 11
Let s(z) = -9*z**3 - z**2. Let a be s(-1). What are the prime factors of (14/a)/((-2)/(-16))?
2, 7
List the prime factors of 16/(-4 + 8) + 85.
89
Suppose 0 = -z - 2*z + 45. Let j = z - 13. List the prime factors of j.
2
Let k(z) be the first derivative of z**4/4 + 4*z**3/3 - z**2/2 - 3*z - 2. What are the prime factors of k(-3)?
3
Let h be 2 - 2/4*0. Let g(z) = -z**h - 4*z + 7*z + 5*z. List the prime factors of g(7).
7
List the prime factors of (1 + -41)/(4 + -5).
2, 5
Suppose -4*g + 9 = 1. Let q be 10 + (2 - 1*4). Let v = g + q. What are the prime factors of v?
2, 5
Let n(c) = 2 - 5 - 8*c + 0. Let k be n(-3). Suppose 2*s + 7 = 2*u - 5, -2*s - k = -5*u. List the prime factors of u.
3
Let u(n) = -6*n**3 - 2*n**2 - 14*n - 2. What are the prime factors of u(-3)?
2, 23
Let z(s) = s**2 + 5. Let c(o) = -5*o**3 + o**2 - o. Let n be c(1). What are the prime factors of z(n)?
2, 3, 5
Suppose 0*k - 52 = -2*k. List the prime factors of k.
2, 13
Let a = 4 + 3. Suppose -a = 4*s + 1. List the prime factors of s/3 + (-58)/(-6).
3
Let j(u) = u**3 - 6*u**2 + 6*u + 6. What are the prime factors of j(5)?
11
List the prime factors of 75 - (1 - 3) - (0 + -1).
2, 3, 13
Suppose 4*f - w - 111 = 0, 5*f - 2*w = 2*f + 87. Let l = -10 + f. What are the prime factors of l?
17
Suppose -3*k + 7*k = 0. Suppose j - 5*t - 11 = k, j = -3*j - 3*t + 21. List the prime factors of 48/20 - j/15.
2
Let s(q) = 2*q**2 + 5*q - 3. Let d be s(-7). Suppose g = 6*g - d. List the prime factors of g.
2, 3
Suppose -c - 2*c + 4*y - 29 = 0, -5*c = -y + 20. Let f = 3 + c. Suppose f*h = -3*h + 18. List the prime factors of h.
2, 3
Let m(b) = b**2 + 2*b - 3. Let p be m(2). Suppose -2*g - p = -21. What are the prime factors of g?
2
Let n(y) = y + 10. Let w be n(-7). Let t be (-30)/(-9) + w/(-9). Suppose 52 = k + t*k. List the prime factors of k.
13
Suppose 5*n + 3*t - 345 = 0, -4*n + t + 410 - 134 = 0. List the prime factors of n.
3, 23
Suppose -2*g = 4*x - 32, g + 3*x + 36 = 2*g. Suppose -4 = 4*n + 2*o - 26, -5*n + o = -31. Suppose -n*b = -2*b - g. List the prime factors of b.
2, 3
Let h(v) = v**3 + 3*v**2 - 4*v + 4. Let c be h(-4). Let a(n) = n**2 - n - 2. List the prime factors of a(c).
2, 5
Let d(c) = 5*c - 16. What are the prime factors of d(6)?
2, 7
Suppose 3*c + 0 = -6. What are the prime factors of (-4)/c + 96/4?
2, 13
Suppose -q - 2*q = -114. What are the prime factors of q?
2, 19
Let i(p) = -p**3 + 3*p**2 - p + 1. Let g be i(2). Suppose 3*a = -g + 15. Suppose a*v = 23 - 3. What are the prime factors of v?
5
Let u be (-8)/12 + (-12)/9. Let g be -15 + 0 - (-1 + 1). List the prime factors of (u + g/(-6))*24.
2, 3
Let v(r) = -r**3 + r**2 - r. Let q be v(1). Let h(s) = -22*s**3 + 2*s**2 + s. List the prime factors of h(q).
23
Let q(p) = -2*p**3 - 4*p**2 - 4*p - 3. Let z be q(-2). Suppose 3*a - 23 = -s - 0*s, -z*s + 65 = 5*a. What are the prime factors of s/(3 + 10/(-4))?
2
Let b(p) = -p**2 + 5*p - 4. Let j be b(3). Suppose -w + j = -1. Suppose -10 = -w*s + 5. What are the prime factors of s?
5
Let w = 5 + -1. Let y(r) = -5*r + 1. Let x be y(w). Let i = -7 - x. What are the prime factors of i?
2, 3
Let g = -33 - -67. List the prime factors of g.
2, 17
Let w be 3/(2 + 14/(-8)). Suppose -3*i + i = -w. What are the prime factors of i?
2, 3
Suppose 593 = 5*b - 4*g, 0 = 4*b - b - 2*g - 355. List the prime factors of b.
3, 13
Suppose 5*i - p = 91, -4*i + 64 = 4*p - 7*p. What are the prime factors of i?
19
Suppose 5*l = -0*l. Let j be -5 + 4 + (l - -1). Let s(u) = -u + 13. List the prime factors of s(j).
13
Suppose -4*h = -8, -3*v - 2*h + 15 = h. Suppose d = -0*d - 4*l + 14, -3*d + 24 = 3*l. Suppose -3 - d = -v*r. List the prime factors of r.
3
What are the prime factors of 2*((-156)/(-8) + 4)?
47
Let f be (-66)/(-4) + (-2)/4. Suppose -5*z = -n - 9 - f, -5*z = -4*n - 25. List the prime factors of z.
5
List the prime factors of (-86 - 1)*7/(-21).
29
List the prime factors of -3*13*(-5 - -4).
3, 13
Let r(a) = -a**3 + 8*a**2 - 7*a + 5. Suppose -2*p = -0 - 14. List the prime factors of r(p).
5
Let s = 36 - 30. Suppose -i + 3*i = -6. Let y = s - i. List the prime factors of y.
3
Let q(r) = -r**3 + r**2 - r + 3. Let g be q(0). Suppose 5*f - 12 = -g*c, -6*c + 2*c + f = -16. What are the prime factors of c?
2
Let u = 60 + -39. Let n = u - 9. What are the prime factors of n?
2, 3
Let h be (-6)/12 + (-14)/4. Let l be -4*(2 + (-1)/h). What
|
{
"pile_set_name": "DM Mathematics"
}
|
s the second biggest value in d, -4/5, s, -1?
-4/5
Let j = 14956 + -14957. Which is the biggest value? (a) j (b) -3 (c) 491
c
Let n = -2/6461 - -32311/19383. What is the second biggest value in -10, -3/2, n, 1/5?
1/5
Suppose -614 = -x - 4*x - w, 120 = x + 3*w. Which is the smallest value? (a) 2/3 (b) 6 (c) x (d) 2/13
d
Let q be (-42)/8*((-15)/5 - -1)/(-7). What is the fifth biggest value in -5, -8/5, q, 5, 0.058?
-5
Let l = -12 + 15. Let n = 136 + -136.1. Let i = 9 + 3. What is the second biggest value in n, l, i?
l
Let h = 225 - 277. Let q = 51.8 + h. What is the smallest value in -4, -0.18, q?
-4
Let h(t) = -4*t - 13. Let y be h(-12). Let m be 23/7 + (-10)/y. Suppose 3 = 3*x - 0*x. Which is the biggest value? (a) -0.3 (b) 5 (c) x (d) m
b
Let m = 31548/5 + -6310. Which is the fourth biggest value? (a) 1/3 (b) 3 (c) m (d) 34 (e) 2.6
a
Let t be 2/(-4) + (-245)/(-42) + -6. Which is the smallest value? (a) 131 (b) -1.2 (c) t
b
Let x(d) = d**2 - 122*d + 3572. Let h be x(49). What is the third biggest value in 1, h, -4/15, 3, -25?
-4/15
Let z = -18.3 - 1.7. Let l be ((-16)/(-12))/(24/54). What is the second biggest value in l, z, -2?
-2
Suppose 2 - 75 - 197 = -5*k. Which is the third smallest value? (a) -2 (b) k (c) 4
b
Let q = -21283 + 21289. What is the biggest value in q, -1.5, 2?
q
Let w be 2 + -8 - (1110/240 + (-55)/5). Which is the third biggest value? (a) 0.063 (b) w (c) 1 (d) -1/7 (e) 0.2
e
Let f = 8.1836 - 0.1836. Which is the fifth biggest value? (a) f (b) 0 (c) -0.112 (d) 3 (e) 0.1
c
Let t = -18148 - -18184. What is the third biggest value in t, -0.4, 1.3, 2/9?
2/9
Let s be 18 - (13 + (10 - 10)). Which is the third biggest value? (a) -40 (b) -0.3 (c) 2/13 (d) s
b
Suppose -r - 5*q + 10 = 7, -8*r + 3*q - 191 = 0. What is the third biggest value in 1/6, -3, 9, 3, r?
1/6
Let d = -111779 + 111777. Let p be 4/14 + (-152)/630. Which is the smallest value? (a) -0.2 (b) d (c) p
b
Let x be (-5)/(-9 + 4) + 0/(-2). Let m be (x/1 - -2)/(3/6). Suppose -5*w + 1 - m = 0. Which is the second biggest value? (a) w (b) 0.4 (c) 5
b
Let k = -144 + 218. Let g = k - 73. Let z be 1/3 - 3/(-9). What is the third smallest value in g, z, -0.4?
g
Let y = -4.6 - -4. Let n = 17482.5 - 17483. Let g = 0.14 + 0.36. What is the third smallest value in y, g, n?
g
Let o = -391/5 - -78. Suppose -93*g = -67*g + 1144. Which is the third smallest value? (a) -5 (b) -4 (c) o (d) g
b
Let o = 0.7756 + 3.2244. What is the second biggest value in 2, o, 2/7, -277?
2
Let i be (-385)/(-105)*(-8)/(-16). What is the second smallest value in -2.36, 4, i?
i
Let a = 3/52 - 217/156. Let x be 20/(-2)*(-14)/28. What is the fourth smallest value in -0.01, x, 4/13, a?
x
Let s = 0.0271 - -0.0729. Let y = -0.07 + -32.93. Let v = y + 34. Which is the smallest value? (a) s (b) -13 (c) v
b
Suppose 2*r = -8*r + 20. Suppose 19 - 27 = r*z. Let s be ((-2)/(-18))/(z + 14/4). Which is the third biggest value? (a) 0.5 (b) -3 (c) 1/4 (d) s
d
Let v = 23.97 - 24.97. Which is the fourth smallest value? (a) -2/9 (b) v (c) 1/11 (d) 39/22 (e) -3
c
Let x = -10/377 + -544/7917. What is the second biggest value in x, -0.5, -1, -0.3, 0.02?
x
Let u = 183 - 183.3. What is the third smallest value in u, -1/3, 114, -0.2, 0.1?
-0.2
Suppose 183 - 388 = -41*k. What is the second biggest value in 2, 730, k?
k
Let u be (((-15)/(-18))/(-5))/(6715/306 + -22). What is the fifth smallest value in 4, -0.94, u, 0.1, 0?
4
Let h = 1791 - 1138. Let i = 1955/3 - h. Which is the smallest value? (a) i (b) -2 (c) -1/11
b
Let y = 128.58 + -128.72. Which is the third biggest value? (a) 0.1 (b) y (c) -0.5 (d) 2/5 (e) -1
b
Let n = 161545/12 - 13462. Which is the biggest value? (a) 1 (b) -808 (c) n
a
Let t be -4*1/(-110)*5. Suppose -k = 4*h - 2 - 5, 2*h = 2*k + 26. Which is the third biggest value? (a) t (b) 5 (c) 4 (d) k
a
Let y = 13409 - 13411. What is the smallest value in y, 3/4, -3/2, -0.04, 5?
y
Let t = 3704 - 3708. Which is the third biggest value? (a) 2/13 (b) 0 (c) -7/5 (d) t (e) 0.3
b
Let b = -2.2 + 0.6. Let g = -1.5 - b. Let h = 60.8 + -61. What is the third biggest value in h, g, -9, -0.3?
-0.3
Suppose 58*y = -79*y - 274. What is the second smallest value in -1, 1/3, 0.1, y, 4/5?
-1
Let k = 6436 - 6431. Which is the second smallest value? (a) k (b) 2/5 (c) -2 (d) -1/4 (e) -6/7
e
Let q = 1587.5 + -1588. What is the third smallest value in -0.2358, q, -1/9, -0.3?
-0.2358
Let j = -55.27 + 55. Let q = 9.73 - j. Let i = -4 + q. What is the second smallest value in 0.3, i, -2?
0.3
Let g = -3426 + 3426. Which is the fourth smallest value? (a) 1 (b) 0.02 (c) g (d) 11/3
d
Let f = 1052 - 1049. Which is the second smallest value? (a) 2/3 (b) 2/29 (c) f (d) 5 (e) 0.3
e
Let m be 316/(-3) + (-11 - 68/(-6)). Let l be -8 - (-2 - (-644)/m). Which is the second smallest value? (a) 4 (b) l (c) 1/12 (d) 1/4
b
Let d be ((-315)/(-100))/(-21)*(-30)/18. Let u = -6.908 - 0.092. Which is the second smallest value? (a) u (b) d (c) 5
b
Let y = -15 + 57. Let m = 5.1963 + -0.1963. What is the second smallest value in 3/2, m, y, -5?
3/2
Let g = 3.258 + 1.742. Which is the fourth smallest value? (a) g (b) 13 (c) 2/5 (d) -0.2
b
Let w = 4538 + -4543. What is the second smallest value in -2/7, -4, w, 1/4, 66/13?
-4
Let o = -9 - -5. Let l = -3.8 - o. Let n(p) = -17*p - 800. Let s be n(-47). Which is the second biggest value? (a) -3 (b) s (c) l (d) 4
c
Let l = -1362.02 + 1362. What is the smallest value in 6, l, 0.8, -2, -0.1?
-2
Let r = 26 - 26.2. Let z = -126 + 123. Which is the smallest value? (a) -1 (b) z (c) r (d) 2/9
b
Let r = 18208.1 - 18208. What is the smallest value in r, -2, 0.16, -46?
-46
Let o be 0/(8/((-28)/(-7))). Let r be o/(-6 - 0 - -5). Which is the second biggest value? (a) 0.4 (b) -1/7 (c) r
c
Let x be (-6)/(-4)*(-1240)/465. Which is the third biggest value? (a) 0.3 (b) x (c) -17/22 (d) 4/3 (e) -1/4
e
Let j be (2*(-1)/(-6))/((-25)/525). Let x(v) = -v**2 - 20*v + 48. Let t be x(-22). Which is the third smallest value? (a) 1 (b) 3/11 (c) j (d) t
a
Let y = -200 - -3798/19. Let m = 198.16 + -199.16. What is the biggest value in y, m, -5, 1?
1
Let z = 6.739 - 6.239. What is the fourth smallest value in 138, z, 2/13, -4?
138
Let v be ((-14)/2)/(6 - 5). Let g be (-57)/225 + v/(-21). Let r be -1*(1/2)/(2 + -1). What is the fourth smallest value in -1, g, r, -2?
g
Let f = 0.0694 - -35.9306. Which is the third biggest value? (a) -9/4 (b) f (c) -0.2 (d) -2
d
Let f = 23/246 + -1105/11234. Let i = 425/2877 + f. Let l = 128 - 898/7. Which is the third smallest value? (a) l (b) -2/3 (c) i (d) 2
c
Let l = -1508 - -19577/13. Let x = 362/143 + l. Which is the second smallest value? (a) x (b) -2/13 (c) -1
b
Let q be (-5)/(-3) - (-6468)/(-3087). Let r = -630 - -1874/3. Let n = 5 + r. What is the third biggest value in -16, n, q?
-16
Let w be (-81 - 0)*35/(-21). Let f be 10/w*-3 + 4/(-63). What is the biggest value in f, 2, 3?
3
Let v = -18 + 25. Let k = 18.443 + -18.443. Which is the biggest value? (a) v (b) 0.21 (c) k
a
Let o(c) = -c**3 - c**2 - c + 22. Let x be o(0). Suppose -114 = -25*k + x*k. Suppose -37 + k = -q. What is the second biggest value in -6, -3, q?
-3
Let r = 563.9537 + 0.0463. Let c = -542 + r. What is the third biggest value in 4/7, 3, 1/3, c?
4/7
Let s be -3 + 3/(36/32). What is the smallest value in 7, 0.4, -4, s?
-4
Let q = -10818 + 10818.1. What is the third biggest value in -5/19, q, 0, 4?
0
Let o = -21760 - -21762. What is the second smallest value in 9, 2/53, -0.3, o?
2/53
Let a be 5 + 1*(-18)/18. What is the biggest value in 1/100, 1, 0, a?
a
Let q = 0.0668 - -0.9332. What is the biggest value in 1/4, -3, 2/5, 406, q?
406
Let x = -0.0162 - 434.9838. Let s = -414 - x. Which is the third smallest value? (a) -3/8 (b) 0.3 (c) s
c
Let w = -517 + 12403/24. Let d = 1/8 - w. Which is the smallest value? (a) d (b) 3 (c) -27
c
Let d be 9/(11 + 40/(-8)). What is the biggest value in 1, d, 2, 1/14?
2
Suppose 19*z + 267 = 305. What is the smallest value in 9.52, 3, z, -1?
-1
Let n = 1.142 + 356.258. Let x = n + -372. What is the third smallest value in -2, 2, x, 2/9?
2/9
Let y = 1178 + -1177. What is the fifth s
|
{
"pile_set_name": "DM Mathematics"
}
|
the greatest common factor of u and 21?
21
Let v(o) = 5*o - 7. Let k be v(7). Suppose -9*m = -5*m - k. Let d = 21 - m. Calculate the highest common factor of 2 and d.
2
Let f = 9 + -1. Let j(k) = k**3 - k**2 - 26*k - 24. Let p be j(7). What is the greatest common factor of f and p?
8
Suppose 0*j + 3*j - 27 = t, 4*t - 12 = 0. Calculate the highest common factor of j and 90.
10
Let o = -165 - -427. Suppose -3*z - 43 = 2*j - 229, -o = -4*z + 2*j. What is the greatest common factor of 16 and z?
16
Let i = 1727 + -1724. What is the greatest common factor of 44 and i?
1
Let o(j) = -j**2 - 2*j + 273. Let q be o(-17). Let s = 3 - 5. Let n be (-2)/s + -1 + 2. What is the highest common factor of n and q?
2
Let d = -69 - -36. Let a = d - -23. Let j be a/9*-3*9. What is the greatest common divisor of j and 75?
15
Suppose -5*j + 5*v = -115, -3*j - 2*v + 40 = -4. Let h be j*-2*(-2)/12. Let q = 141 + -75. What is the greatest common factor of h and q?
6
Let z(j) = j**3 + 11*j**2 - 4*j - 10. Let n be z(-11). Let o = n + -107. Let h = 184 + o. What is the greatest common divisor of 74 and h?
37
Suppose 5*i = -3*k - 138, 2*i = 5*k + 116 + 83. Let m = k + 71. What is the greatest common factor of m and 30?
30
Let s = -132 + 232. Suppose 7*o - 6*o - 20 = 0. Calculate the greatest common divisor of s and o.
20
Suppose -3*c = -2*d - 0*d - 760, 510 = 2*c - 3*d. Calculate the greatest common factor of c and 36.
36
Let y(j) = 84*j**2 - j - 1. Let r be y(1). Let o = r - 40. Suppose 39 + 22 = 2*s - 5*k, 144 = 5*s - 4*k. What is the highest common divisor of o and s?
14
Suppose -4*v = -9*v. Suppose 3*c = 4*q + 7*c - 16, -3*c + 3 = v. Suppose -q*m = -4*m + 2. What is the greatest common divisor of 2 and m?
2
Let z(p) = -2*p**3 - 7*p**2 + 15*p + 41. Let w be z(-7). Calculate the greatest common factor of 9 and w.
9
Let s(t) = 46*t**3 - t**2 - t + 1. Let z be s(1). Let y be (129 + -123)/((-2)/(-3)). Calculate the greatest common factor of y and z.
9
Let l(n) = -n**2 + n + 2. Let c be l(-2). Let x be c/18 + 632/9. Let g(h) = -h**3 + 7*h**2 + h + 7. Let q be g(7). What is the highest common factor of q and x?
14
Let v = 1241 + -1105. Calculate the highest common factor of v and 1564.
68
Let j(r) = -5*r - 43. Let q be j(-20). Let h be (q/2)/(9/6). What is the greatest common factor of h and 133?
19
Let o = -1817 + 1838. What is the highest common factor of 165 and o?
3
Suppose -2*h = h - 432. Let d(w) = -49*w**3 + 68*w**2 + 72*w + 3. Let i be d(-1). What is the greatest common divisor of h and i?
48
Let d = -95 - -43. Let v = 162 + d. Calculate the greatest common factor of 10 and v.
10
Let z be 3 - -8 - 4 - (-6)/(-3). Let k be 2 - 1/(z/(-165)). Suppose 20 + 15 = 5*w. Calculate the highest common factor of w and k.
7
Let b(r) = 2*r + 2. Let g be b(6). Suppose 64 = 4*y - 0*y. Let i be (-56)/y*(0 + -6). What is the highest common divisor of g and i?
7
Suppose -4*n - z + 2320 = 0, -138*n + 133*n + z = -2900. Calculate the greatest common divisor of 60 and n.
20
Let z = -49 - -55. Let d = 96 - z. What is the greatest common divisor of 20 and d?
10
Suppose -5*o = -4*f - 265, -4*o = -3*o + 2*f - 39. Calculate the highest common divisor of o and 539.
49
Suppose 5*m + 3*a = 139, m - 3*a = 2*a + 39. Suppose s + 604 = 3*o, 10*s = -4*o + 11*s + 807. What is the highest common factor of o and m?
29
Let s be 0/1 - (-84)/2. Suppose 338*q = 337*q + 3. Suppose -2*x - q*t + 107 = 3*x, s = 2*x + 2*t. Calculate the greatest common divisor of 55 and x.
11
Let j(v) be the first derivative of 3*v**4/4 - v**3 + v**2/2 + 3*v - 53. Let s be j(1). What is the highest common divisor of 28 and s?
4
Let f be (-10 - -10) + 0/(-1). Suppose 15*t - 12*t - 144 = f. What is the highest common divisor of 120 and t?
24
Suppose r + 6*r = 357. Suppose 3*n = r + 111. Calculate the greatest common divisor of 18 and n.
18
Suppose 3*g + 23 = t, 0 = 6*t - 8*t - 2*g + 54. Suppose 7*d = 6*d - 3*v + 225, 0 = -v - 3. What is the greatest common divisor of t and d?
26
Let p = 1 - 9. Let g = -6 - p. What is the highest common divisor of 4 and g?
2
Suppose -19*r - 802 = 34. Let y = 60 + r. Let s be 2/(1 + 31/(-32)). Calculate the highest common factor of y and s.
16
Let d(f) = 14*f**2 - 3*f - 2. Let r be ((-9)/(-6))/((-4)/(-24)). Suppose -13*u - 8 = -r*u. Let o be d(u). What is the highest common divisor of 24 and o?
12
Let p(l) = l - 5. Let r be p(7). Let d = -139 - -158. Suppose 3*i - r*i = d. Calculate the greatest common divisor of i and 38.
19
Let j = -21 + -21. Let r = -18 - j. Calculate the greatest common divisor of r and 8.
8
Let n be (-2)/(-7) + (-36)/28. Let w be (2 + n)/((-7)/(-84)). Let b be (-5)/((-1)/w*1). What is the highest common factor of 15 and b?
15
Let w(k) = 4*k - 25. Let x be w(10). Let b be ((-27)/18*5)/((-2)/12). Calculate the highest common divisor of x and b.
15
Let a = -13 - -18. Suppose 9 = -a*b + 8*b. Let g(o) = 6*o**2 - 4*o - 5. Let j be g(-2). Calculate the greatest common divisor of j and b.
3
Suppose -5*x + 3 = 3*d - 3*x, -2*d + 5*x + 21 = 0. Suppose -5 = -h, -d*h + 2*h = 4*c - 117. What is the highest common divisor of c and 2?
2
Suppose 13*g + 55 = 18*g. Let f = g - -25. Calculate the highest common divisor of 324 and f.
36
Let f(d) = d**3 + 3*d**2 - 12*d + 15. Let z be f(-5). What is the greatest common factor of z and 155?
5
Let z be ((-50)/(-6))/((-12)/(-324)). Suppose -v - 3*g + 63 = 0, -6*g + 3*g = 4*v - z. What is the greatest common divisor of 6 and v?
6
Let x(w) = -132*w - 4. Let m be (10/(-4) + 2)*6. Let c be x(m). Suppose -4*g = 5*q - c - 261, 5*g - q = 809. What is the highest common divisor of 18 and g?
18
Let w(q) = q - 3. Let o be w(12). Suppose -3*s + 165 + 51 = 0. Calculate the highest common factor of o and s.
9
Let h be (3 + (-22)/6)*-24. Suppose -285 = -5*j + 4*f, 0*j - j + 4*f + 73 = 0. Let o = j + 75. Calculate the highest common divisor of o and h.
16
Let b = -1198 + 2496. What is the highest common divisor of 59 and b?
59
Let z = -13 + 26. Let x = z - 8. Let g be 32 - -3 - 0/4. Calculate the greatest common divisor of x and g.
5
Suppose -4*o + 162 = -8*l + 3*l, 5*l = -10. Calculate the greatest common factor of o and 304.
38
Let f(t) = -14*t - 5 - 4 + 3. Suppose -2*r = 9 + 1. Let l be f(r). What is the highest common divisor of l and 16?
16
Suppose g - 8*g + 399 = 0. Suppose 3*i + 2*m - 849 = 0, 2*i - m + 2*m = 567. Calculate the greatest common divisor of i and g.
57
Let c(y) = -y**2 - 23*y + 16. Let r be c(-11). What is the highest common divisor of r and 4?
4
Suppose -77*f + 80*f = 225. What is the highest common factor of 600 and f?
75
Let f(z) = 76*z - 4. Let y be f(1). What is the greatest common factor of y and 54?
18
Let g = 2 - -30. Let m = 22 + g. What is the highest common factor of m and 81?
27
Let h = -93 + 1120. Calculate the greatest common factor of h and 237.
79
Suppose 0 = -a - d + 521, -2*a = 3*a + 3*d - 2603. Calculate the greatest common factor of a and 80.
40
Suppose 2*c = -3*c + 105. Let t be (-9)/(-2) - c/14. Suppose 0 = -t*x + 2*x - 5*q + 1, 2*x = 5*q + 17. What is the highest common factor of x and 18?
6
Let f = 58 - 49. Suppose f*i - 324 = 5*i. What is the highest common divisor of 54 and i?
27
Suppose 0 = -15*g - 346 + 76. Let n be (117/6)/(g/(-48)). Calculate the highest common divisor of 4 and n.
4
Let h(p) = p - 17. Let i be h(15). Let s be 6/(i/(-14 + 0)). Suppose 6*x - 2*x - 117 = -5*d, 5*x - 36 = -d. What is the highest common divisor of s and d?
21
Let k(f) = 7*f - 2. Let w(c) = 6*c - 2. Let r(g) = -3*k(g) + 4*w(g). Let p be r(9). Suppose 2*l + 3*l - p = 0. What is the greatest common divisor of 55 and l?
5
Suppose -44 = -4*a + 4*u, -3*a - 4*u = 2*a - 37. Let z be ((-5)/2 + 2)*-6. What is the highest common divisor of a and z?
3
Suppose -8 = -2*d + 3*p, 64 = 5*d + 3*p + 2. What is the highest common factor of d and 10?
10
Suppose 5*o - 38 = 27. Let w = o + -11. Suppose -24 = w*z - 5*z. What is the greatest common factor of z and 16?
8
Suppose -n - 2*j = -11, -n - 12*j + 14 = -7*j. What is the highest common factor of 225 and n?
9
Suppose -29*u + 50*u - 3024 = 0. What is the highest common factor of 252 and u?
36
Suppose 4*j + 4*q = 7*q - 227, -3*j + q = 164. Let r = -41 - j. What is the greatest common divisor of 84 and r?
12
|
{
"pile_set_name": "DM Mathematics"
}
|
inder when 127 is divided by 30.
7
Calculate the remainder when 647 is divided by 8.
7
What is the remainder when 8432 is divided by 74?
70
Calculate the remainder when 432 is divided by 143.
3
Calculate the remainder when 1256 is divided by 414.
14
What is the remainder when 33 is divided by 23?
10
What is the remainder when 76 is divided by 3?
1
Calculate the remainder when 190 is divided by 16.
14
Calculate the remainder when 125 is divided by 48.
29
What is the remainder when 105 is divided by 56?
49
What is the remainder when 20 is divided by 9?
2
Calculate the remainder when 1859 is divided by 85.
74
Calculate the remainder when 89 is divided by 26.
11
What is the remainder when 369 is divided by 78?
57
Calculate the remainder when 4140 is divided by 1377.
9
What is the remainder when 1954 is divided by 103?
100
What is the remainder when 85 is divided by 76?
9
Calculate the remainder when 2923 is divided by 86.
85
Calculate the remainder when 8625 is divided by 38.
37
Calculate the remainder when 4940 is divided by 16.
12
What is the remainder when 3721 is divided by 17?
15
What is the remainder when 97 is divided by 43?
11
What is the remainder when 13 is divided by 3?
1
Calculate the remainder when 55 is divided by 30.
25
What is the remainder when 238 is divided by 15?
13
Calculate the remainder when 38 is divided by 37.
1
Calculate the remainder when 744 is divided by 230.
54
Calculate the remainder when 735 is divided by 41.
38
What is the remainder when 105 is divided by 37?
31
Calculate the remainder when 489 is divided by 62.
55
Calculate the remainder when 617 is divided by 23.
19
What is the remainder when 72 is divided by 18?
0
Calculate the remainder when 281 is divided by 103.
75
What is the remainder when 283 is divided by 51?
28
Calculate the remainder when 1908 is divided by 23.
22
What is the remainder when 215 is divided by 38?
25
What is the remainder when 41689 is divided by 13?
11
What is the remainder when 5218 is divided by 87?
85
What is the remainder when 782 is divided by 28?
26
What is the remainder when 1008 is divided by 83?
12
Calculate the remainder when 196 is divided by 11.
9
Calculate the remainder when 768 is divided by 77.
75
Calculate the remainder when 24 is divided by 5.
4
Calculate the remainder when 1935 is divided by 6.
3
Calculate the remainder when 1581 is divided by 66.
63
Calculate the remainder when 936 is divided by 78.
0
What is the remainder when 720 is divided by 69?
30
What is the remainder when 774 is divided by 771?
3
What is the remainder when 495 is divided by 112?
47
What is the remainder when 2300 is divided by 377?
38
What is the remainder when 721 is divided by 50?
21
What is the remainder when 664 is divided by 44?
4
What is the remainder when 181 is divided by 178?
3
Calculate the remainder when 12 is divided by 6.
0
What is the remainder when 59 is divided by 34?
25
What is the remainder when 42 is divided by 10?
2
Calculate the remainder when 2406 is divided by 43.
41
Calculate the remainder when 72 is divided by 5.
2
Calculate the remainder when 239 is divided by 40.
39
Calculate the remainder when 11656 is divided by 315.
1
What is the remainder when 1099 is divided by 10?
9
Calculate the remainder when 237 is divided by 65.
42
Calculate the remainder when 111 is divided by 35.
6
What is the remainder when 15369 is divided by 58?
57
What is the remainder when 92 is divided by 82?
10
Calculate the remainder when 31 is divided by 12.
7
What is the remainder when 1198 is divided by 40?
38
What is the remainder when 162 is divided by 88?
74
Calculate the remainder when 48 is divided by 11.
4
What is the remainder when 2885 is divided by 138?
125
Calculate the remainder when 102 is divided by 45.
12
What is the remainder when 230 is divided by 39?
35
Calculate the remainder when 525 is divided by 16.
13
What is the remainder when 510 is divided by 64?
62
Calculate the remainder when 2548 is divided by 37.
32
Calculate the remainder when 323 is divided by 68.
51
Calculate the remainder when 80 is divided by 22.
14
What is the remainder when 63 is divided by 33?
30
What is the remainder when 622 is divided by 40?
22
Calculate the remainder when 58 is divided by 15.
13
Calculate the remainder when 9917 is divided by 25.
17
What is the remainder when 250 is divided by 36?
34
What is the remainder when 472 is divided by 43?
42
Calculate the remainder when 206 is divided by 26.
24
Calculate the remainder when 208 is divided by 69.
1
Calculate the remainder when 477 is divided by 81.
72
What is the remainder when 3256 is divided by 14?
8
What is the remainder when 17346 is divided by 3467?
11
What is the remainder when 1994 is divided by 105?
104
What is the remainder when 930 is divided by 49?
48
What is the remainder when 182 is divided by 43?
10
Calculate the remainder when 239 is divided by 15.
14
Calculate the remainder when 2765 is divided by 22.
15
Calculate the remainder when 10715 is divided by 47.
46
Calculate the remainder when 19 is divided by 16.
3
Calculate the remainder when 45 is divided by 25.
20
Calculate the remainder when 363 is divided by 115.
18
Calculate the remainder when 204 is divided by 36.
24
What is the remainder when 96 is divided by 23?
4
What is the remainder when 413 is divided by 83?
81
What is the remainder when 2352 is divided by 11?
9
Calculate the remainder when 1852 is divided by 11.
4
Calculate the remainder when 2174 is divided by 22.
18
What is the remainder when 796 is divided by 220?
136
Calculate the remainder when 161 is divided by 76.
9
Calculate the remainder when 160 is divided by 76.
8
Calculate the remainder when 889 is divided by 33.
31
Calculate the remainder when 1185 is divided by 79.
0
Calculate the remainder when 638 is divided by 202.
32
What is the remainder when 179 is divided by 61?
57
What is the remainder when 399 is divided by 113?
60
What is the remainder when 1516 is divided by 228?
148
Calculate the remainder when 34 is divided by 8.
2
What is the remainder when 4478 is divided by 54?
50
Calculate the remainder when 78 is divided by 9.
6
What is the remainder when 55 is divided by 19?
17
Calculate the remainder when 664 is divided by 61.
54
Calculate the remainder when 127 is divided by 26.
23
What is the remainder when 729 is divided by 24?
9
Calculate the remainder when 11924 is divided by 168.
164
Calculate the remainder when 5671 is divided by 4.
3
What is the remainder when 84 is divided by 16?
4
What is the remainder when 193 is divided by 13?
11
What is the remainder when 103209 is divided by 183?
180
What is the remainder when 768 is divided by 35?
33
What is the remainder when 190 is divided by 102?
88
Calculate the remainder when 1139 is divided by 25.
14
What is the remainder when 1212 is divided by 128?
60
What is the remainder when 11422 is divided by 51?
49
What is the remainder when 5370 is divided by 27?
24
What is the remainder when 46 is divided by 7?
4
What is the remainder when 303 is divided by 73?
11
What is the remainder when 3786 is divided by 18?
6
Calculate the remainder when 2068 is divided by 10.
8
Calculate the remainder when 425 is divided by 144.
137
Calculate the remainder when 188 is divided by 185.
3
What is the remainder when 762 is divided by 761?
1
What is the remainder when 87 is divided by 7?
3
Calculate the remainder when 7612 is divided by 81.
79
Calculate the remainder when 1159 is divided by 29.
28
What is the remainder when 258 is divided by 5?
3
What is the remainder when 32074 is divided by 162?
160
What is the remainder when 208 is divided by 10?
8
What is the remainder when 75 is divided by 63?
12
What is the remainder when 111 is divided by 67?
44
Calculate the remainder when 619 is divided by 56.
3
What is the remainder when 463 is divided by 462?
1
What is the remainder when 119 is divided by 15?
14
Calculate the remainder when 5990 is divided by 125.
115
What is the remainder when 971 is divided by 168?
131
What is the remainder when 1448 is divided by 710?
28
Calculate the remainder when 268 is divided by 37.
9
Calculate the remainder when 247 is divided by 42.
37
What is the remainder when 1155 is divided by 16?
3
What is the remainder when 253 is divided by 6
|
{
"pile_set_name": "DM Mathematics"
}
|
m, l?
l
Let p = -787/2 - -392. What is the closest to -0.1 in -5, p, 3/8, 1/2?
3/8
Let j = -11 - -52. Let w = j - 41.4. What is the nearest to 2/9 in w, -4, 5?
w
Suppose -8*v - 29 = 11. Let f = 1 - 1.2. Let j be 3*(1 - 177/171). Which is the nearest to f? (a) 1/2 (b) j (c) v
b
Let h = 81 + -80.9. Which is the nearest to 1? (a) h (b) 1/2 (c) 2/17 (d) -2/9
b
Let d be (-33)/(-9) + (-64)/(-48). Let k be 10/(-25)*6/4. Let g = -0.4 + 0.3. Which is the closest to 2/7? (a) k (b) g (c) d
b
Suppose -12 = -3*w + 2*h + 4, 3*w - 14 = h. Which is the closest to 1/2? (a) w (b) -4 (c) -2.6
c
Let k = -231 + 210. Which is the nearest to -1/4? (a) 2 (b) k (c) -0.4
c
Let c = 0.5355 - 0.0355. What is the nearest to 1 in -3, c, 0.4?
c
Let x be (105/54 - 2)*3/2. Let p be (-2)/(-72) + 28/126. Which is the closest to -6? (a) p (b) 5 (c) x
c
Let a = -2 - -1.8. Let s = 612 + -613.8. What is the closest to 0.1 in s, a, 1/2?
a
Let a = 263/5 - 52. Let x(r) = -r**2 - 11*r - 4. Let t be x(-11). Let y = 10/3 + t. What is the closest to y in a, 0.2, 0.1?
0.1
Let u = -3150.94 - -3178. Let w = u + -0.06. Let z = 26.6 - w. What is the nearest to -2 in -0.3, 1/2, z?
z
Let i = -0.1911 - 0.0089. What is the closest to -3/10 in i, 3, -0.3?
-0.3
Let x = -0.29 + 9.29. Let k = 8.8 - x. What is the nearest to 1 in 7, 5, k?
k
Let d = -367 - -364.027. Let h = -0.027 + d. Let a be ((-3)/6 + 1)*0. What is the nearest to 4 in h, 5, a?
5
Suppose 529 = 6*m + 49. Let x = m - 75. Suppose 5*l - 4*t + 1 = 0, 3*l + 3*t + 4 = -2. Which is the closest to l? (a) 2 (b) x (c) 0.2
c
Let h = -1 - -3. Let j = h - 1.9. Suppose -5 = p, 5*o - 2*p = o + 2. What is the closest to j in o, 2, -0.1?
-0.1
Let i = 147.5 - 145.5. Which is the closest to i? (a) 1/2 (b) 1 (c) 23
b
Let l(k) = k**2 - 6*k + 2. Let f(o) = 2*o + 14. Let u be f(-4). Let w be l(u). Which is the closest to 2/11? (a) 0.1 (b) 7 (c) w
a
Let d = 2.5 - -1.5. Let u = 75 - 77. What is the closest to 0.2 in d, -3/8, u?
-3/8
Let o = -55.4 + 42.4. Which is the nearest to 0.1? (a) o (b) -0.07 (c) -2
b
Let t = 171 + -1199/7. Let b = -11.4 + 11.2. What is the nearest to 1/3 in t, b, 2?
b
Let g = -0.51 + 0.52. Let d = g + -0.21. Which is the closest to 0? (a) d (b) 5 (c) 4/13
a
Let f = 34 - 35. What is the closest to -0.1 in 0.3, f, 3?
0.3
Let d = 84 - 251/3. What is the nearest to -0.3 in 1.4, d, -5?
d
Let x(a) = 10*a**2 + 6*a - 8 - 18*a + a**3 - 7. Let b be (2*-1)/2 - 10. Let s be x(b). What is the nearest to 1 in 1/7, s, 1?
1
Let t be 27/3 + -6 + -1. What is the nearest to 3/5 in 1, -0.2, t?
1
Let i = -6.9 + -3.1. Let j = -13 - i. What is the closest to j in 5, -4/3, 0.1?
-4/3
Let u be (-6 - (-147)/14) + (-1)/(-2). Suppose u*z + 2 = -3. Which is the closest to -4? (a) 1 (b) -3 (c) z
b
Let k = -16 + 21. Let u = k + -6. Which is the nearest to 1/2? (a) 0.2 (b) 1/3 (c) u
b
Suppose 10*i = 5*i + 40. Let w = i - 21. Let d = w - -25/2. What is the closest to d in 0.3, -3, -2?
0.3
Let x = -0.407 - -0.207. Let r = 3.8 + -2.8. Which is the nearest to -5? (a) r (b) x (c) 0.3
b
Let k = -71340652/213 + 334932. Let p = 1/1322 - 2715/93862. Let s = k + p. Which is the nearest to 2/3? (a) s (b) -3 (c) 4
a
Let c = -6.6 + 9.6. Suppose 3*j + 26 = 5. What is the closest to -1/4 in c, j, -2?
-2
Let p = 3.83 + -6.83. Let z = 1.8 - 2. What is the closest to 3 in z, p, 5?
5
Let y = -0.5 + 2.5. Let v = 0.787 - -0.213. What is the closest to y in v, -0.1, -2/11?
v
Let j = 4/77 - -134/385. What is the nearest to 0.1 in j, -1, -0.06?
-0.06
Let g be (4 - 2)/(-2 - -12). Let x be (-16)/(-8) - 9/4. What is the nearest to g in -1, 1/4, x?
1/4
Let y = 335 - 334.7. Which is the closest to 15? (a) y (b) 14 (c) -5
b
Let u = -2762 + 2763. Let y = -7 + 10. What is the closest to 0 in 28, u, y?
u
Let o = 20.1 - 17.8. Which is the closest to o? (a) 2/5 (b) -0.2 (c) 2/3
c
Let u = 125 + -126.36. Let i = -1.36 - u. Which is the closest to i? (a) -3 (b) 2 (c) -1
c
Let f = -29 + 75. Let n = -54 + f. Which is the closest to -1/2? (a) -0.2 (b) 2/5 (c) n
a
Let r = 95 + -477/5. Let s = 1330 + -1335. Let t(v) = -v**2 - 6*v + 10. Let q be t(-7). What is the nearest to 0 in r, q, s?
r
Let x(j) = j**2 + 19*j - 284. Let p be x(-29). Suppose -3*b - 9 = 2*q + 11, q = -2*b - 12. What is the closest to -0.3 in b, p, 4?
b
Let k = 13 - 12.9. Let q = -491 + 493. What is the closest to k in -2, q, -1/6?
-1/6
Let x = -26 + 15. Let g = x + 7. Let v = 0.8 - 5.8. Which is the nearest to -1? (a) g (b) v (c) 4
a
Let p be 60/(-100) - (-189)/165. Let h be (-16)/(-12)*(-6)/2. Which is the nearest to -0.2? (a) h (b) 0.5 (c) p
b
Let g be (5/(-8))/(282/(-2256)). Let j be 1 + -1 - -1 - 5. What is the closest to g in j, 1/3, 0.5?
0.5
Let l = 43 + -43.4. Which is the nearest to -0.2? (a) l (b) 9/4 (c) 0.3
a
Suppose 222 = -33*p - 438. What is the closest to 2/3 in 0, -2, p?
0
Let q = 369 - 369.3. What is the nearest to 0.2 in 4, q, -1.2?
q
Let z = 7.12 + -11.12. What is the nearest to 2/3 in -2/7, -0.5, 1/2, z?
1/2
Let m = -0.1 - 0.9. Let n be ((-7)/6 - 0)*40/70. What is the nearest to m in -0.1, n, 1?
n
Let s = -0.368 + -5.632. Which is the nearest to -2/9? (a) s (b) 1 (c) -3 (d) 4
b
Let j = 0.811 - 4.811. What is the closest to 9 in -0.08, j, 2/17, 2/11?
2/11
Let r = -312/5 - -62. Let n = 0.02 - -0.48. What is the closest to 0.2 in 2/7, n, r?
2/7
Let z = -0.57 + 0.57. Let r = 68.84 - 71. Let n = r + 0.16. What is the closest to n in 1/4, -2, z?
-2
Let m = -0.02 + -7.98. Let x = 0.048 + 2.452. Let u = -2 + x. What is the closest to -0.1 in 1/11, m, u?
1/11
Let z = 90.8 - 111. Let h = z + 20. Let d = 0.1 + 0.2. Which is the nearest to h? (a) d (b) 0.1 (c) -2/9
c
Let z = 44/3 + -14. Let s be (168/(-54) - 27/(-9))/(6/(-9)). Which is the closest to -1? (a) 5 (b) z (c) s
c
Suppose -13 = -4*d + 3*z, 6 = 4*z + 2. Suppose 2*g = -o + d, o = -g - 1 + 2. Which is the closest to -1? (a) 5/2 (b) -2/3 (c) g
b
Let w be (13/5 + -3)/(36/40). What is the nearest to 2 in w, 1.5, 1, -3?
1.5
Let l(j) = 3*j + 1. Let t be l(1). Let b = -3 + t. Let z = -6431.7 + 6432. What is the nearest to b in 1, -4, z?
1
Let l = 0.447 - 4.447. Which is the nearest to -0.23? (a) -2/3 (b) -0.1 (c) l
b
Let i = -0.43 + -0.07. Let p = -0.3 - -3.3. Let t = 4 - p. What is the nearest to 0 in i, t, -0.1?
-0.1
Let m = -6 + 10. Let l be (-7)/6*m/(-21). Let k = -0.01 + -0.19. Which is the nearest to l? (a) k (b) -0.1 (c) -2
b
Let a = -263783/14 - -37805/2. Suppose 4*q - 2*q + 2*y = -128, -5*y - 15 = 0. Let f = q + a. What is the closest to 0.1 in f, 2, -0.3?
f
Let z = 539 + -539. Which is the nearest to -2? (a) z (b) 0.1 (c) -0.04 (d) 1
c
Let j be 0 + (-1)/8 + 0. Let k = -7511 + 7511. What is the closest to 2/3 in -2, j, k?
k
Let w = 129 - 50. Let i = 44 - w. What is the closest to i in -4, 0.1, 0.4?
-4
Let u = 0.26 + 0.44. Let d = u - 0.8. Which is the closest to d? (a) 0.4 (b) -2 (c) -0.5
c
Let o = 2695 + -2710. What is the nearest to 0.08 in o, 0.1, -2, 0?
0.1
Let j = -41 - -38. Let r = 0.6 - 0.7. What is the nearest to r in j, 4/7, 7?
4/7
Let g be (((-11)/(110/20))/8)/((-3)/(-4)). Let l = -31 - -123/4. Which is the nearest to g? (a) -0.1 (b) l (c) -0.08
b
Let s = 0.6 + 1.4. Suppose -g = -2*n - 7, 5*g - 3*n = 2*g + 6. Which is the closest to -8? (a) g (b) -2/7 (c) s
a
Let i = -6.8 - -6.5. Which is the nearest to 0.1? (a) i (b) -47 (c) -1
a
Let w = -3.1 - -17.1. Let a = -11 + w. Let k = -233/4 + 58. What is the closest to 0.3 in k, 1, a?
k
Let g = 22 + -26. Let n be (-6)/g - (-354)/(-240). Let w = 3/8 + n. Which is the nearest to 1? (a) 3 (b) -3/7 (c) w
c
Let w be 8/(-24)*6/7. Let k(f) = -f**2 + 3*f + 1. Let o be k(4). Let i be 24/(-28)*o/(-9). What is the nearest to i in 5/4, -4, w?
w
Let s be 1/(4/18) - (-49 + 54). Which is the nearest to -80? (a) -1/3 (b) s (c) 3
b
Let x be 3 + -4 + (-5)/(-3). Let l = 33 - 28. What is the closest to x in 0.2, l, -3?
0.2
Let i = 2 - 5. Let f be 11 - 8 - (-135)/(-20) - -4. What is the closest to f in 0.2, i, 2?
0.2
Suppose 1 = -2*w - 7. Let m be (-82)/(-8) + 1/w. Let i = -0.0835 + -0.0165. Which is the nearest to i? (a) m (b) -1 (c) 0.3
c
Let t be (-4)/12*(-6 - -5). What is the closest to -1/4 in t, 0.6, -1?
t
Let k be (2/5)/((-6
|
{
"pile_set_name": "DM Mathematics"
}
|
5750
What is the smallest common multiple of 34195 and 70?
68390
Find the common denominator of 33/1018120 and 51/127265.
1018120
What is the common denominator of 23/252 and 101/1904?
17136
What is the common denominator of 8/33 and 97/23904?
262944
Find the common denominator of 43/1599 and -8/27.
14391
Calculate the lowest common multiple of 63 and 37491.
787311
What is the lowest common multiple of 11446 and 258?
1476534
Calculate the lowest common multiple of 10 and 35225.
70450
What is the least common multiple of 480690 and 27468?
961380
Calculate the least common multiple of 7926 and 105.
277410
Calculate the common denominator of -37/17204 and -13/10336.
2615008
Calculate the common denominator of -73/41943 and 117/308.
1174404
What is the smallest common multiple of 2392 and 7176?
7176
What is the smallest common multiple of 451 and 83941?
3441581
Calculate the common denominator of -73/148 and 127/8840.
327080
Find the common denominator of -97/22872 and 23/68616.
68616
What is the common denominator of 89/28890 and -41/1926?
28890
What is the common denominator of 71/8584 and 2/2331?
540792
Calculate the lowest common multiple of 2358 and 1441.
25938
What is the least common multiple of 14508 and 558?
14508
What is the common denominator of 18/3101675 and 143/30?
18610050
Calculate the common denominator of 23/8972 and 67/309534.
619068
Calculate the common denominator of -113/1020 and 39/2788.
41820
What is the smallest common multiple of 4382 and 44?
96404
What is the least common multiple of 106960 and 20?
106960
What is the lowest common multiple of 368 and 76?
6992
What is the lowest common multiple of 11440 and 340?
194480
What is the common denominator of 139/124368 and -131/24?
124368
What is the common denominator of 151/54 and -40/26841?
483138
Calculate the common denominator of -93/738208 and 83/46.
738208
What is the lowest common multiple of 40 and 18719?
748760
Calculate the smallest common multiple of 60912 and 21.
426384
Calculate the lowest common multiple of 293965 and 83990.
587930
Find the common denominator of 54/16793 and -1/2.
33586
What is the lowest common multiple of 752 and 4559?
72944
What is the lowest common multiple of 65196 and 432?
782352
What is the lowest common multiple of 112 and 174818?
1398544
What is the common denominator of 47/7804165 and 13/6?
46824990
Calculate the common denominator of 33/10 and -51/875.
1750
Calculate the common denominator of -101/66640 and 1/116620.
466480
Find the common denominator of -52/6485 and 20/9079.
45395
What is the smallest common multiple of 245745 and 1270?
491490
Calculate the common denominator of 115/15148 and 111/121184.
121184
Calculate the least common multiple of 20880 and 29232.
146160
Calculate the smallest common multiple of 108 and 6264.
6264
What is the lowest common multiple of 576 and 4288?
38592
What is the common denominator of -155/130728 and -115/30168?
392184
What is the lowest common multiple of 8220 and 30414?
304140
Find the common denominator of 47/12 and -1/58520.
175560
Find the common denominator of -45/139832 and -127/72.
1258488
What is the common denominator of 61/204 and 47/12376?
37128
Calculate the common denominator of 53/12 and 17/22641.
90564
What is the common denominator of -13/52272 and -37/15?
261360
What is the common denominator of -5/1309 and -89/420?
78540
What is the common denominator of -75/29192 and -61/57728?
5137792
Find the common denominator of -30/632527 and -32/271083.
1897581
What is the smallest common multiple of 858 and 286?
858
What is the common denominator of -43/149375 and -107/250?
298750
What is the lowest common multiple of 934 and 8406?
8406
Find the common denominator of 83/1041768 and 11/14.
1041768
What is the common denominator of -23/140 and 101/646?
45220
Calculate the least common multiple of 72360 and 14472.
72360
What is the common denominator of 41/2967 and 83/6?
5934
Calculate the lowest common multiple of 65 and 13741.
68705
What is the common denominator of 91/20808 and -115/62424?
62424
What is the least common multiple of 129 and 3064?
395256
Calculate the lowest common multiple of 278 and 172.
23908
Find the common denominator of -19/4 and -73/90900.
90900
What is the common denominator of -119/120 and -41/9360?
9360
Calculate the common denominator of -13/5952 and 103/576.
17856
Calculate the smallest common multiple of 2106 and 26622.
1038258
What is the smallest common multiple of 15972 and 1815?
79860
Calculate the least common multiple of 4719 and 1417.
514371
Find the common denominator of 21/5008 and 85/508312.
1016624
Calculate the common denominator of 41/37695 and -59/45.
113085
Calculate the least common multiple of 16450 and 2450.
115150
Calculate the lowest common multiple of 82912 and 171006.
2736096
Calculate the common denominator of -69/214952 and -25/4268.
2364472
What is the least common multiple of 842015 and 69684?
10104180
Find the common denominator of 151/134898 and 26/112415.
674490
What is the common denominator of -109/2150766 and -9/16?
17206128
What is the common denominator of -9/22120 and 149/36498?
729960
What is the common denominator of -49/100776 and 4/17?
100776
What is the common denominator of 16/27 and 59/71838?
215514
Calculate the smallest common multiple of 1181529 and 78.
30719754
Find the common denominator of 101/4260 and -139/136320.
136320
What is the lowest common multiple of 17990 and 105?
53970
Calculate the common denominator of 50/27 and 50/287.
7749
Find the common denominator of -1/1270 and -113/14224.
71120
What is the least common multiple of 4690 and 392350?
26287450
Calculate the common denominator of 38/615 and 51/1975.
242925
Calculate the common denominator of -25/468 and 95/318864.
956592
Find the common denominator of 37/4781 and -16/11611.
81277
What is the least common multiple of 15568 and 22?
171248
What is the smallest common multiple of 102 and 1580?
80580
What is the common denominator of 83/10348 and -49/12?
31044
What is the smallest common multiple of 281160 and 281160?
281160
What is the smallest common multiple of 24216 and 28?
169512
Find the common denominator of -67/17454 and -101/102.
296718
What is the lowest common multiple of 2646657 and 65?
13233285
Calculate the smallest common multiple of 9366 and 34342.
103026
Calculate the lowest common multiple of 1098063 and 196668.
13176756
What is the lowest common multiple of 18 and 772594?
6953346
Calculate the common denominator of -71/134 and -149/362316.
24275172
Find the common denominator of -73/20342 and -11/11624.
81368
What is the common denominator of 52/465 and 143/64980?
2014380
Calculate the common denominator of -107/2106 and -62/2457.
14742
Calculate the lowest common multiple of 22815 and 585.
22815
Find the common denominator of 52/27 and 4/1562061.
14058549
What is the common denominator of -6/1412765 and 71/98565?
4238295
Calculate the common denominator of -35/785961 and 151/12.
3143844
What is the common denominator of -71/2088 and 55/2712?
235944
What is the common denominator of 103/938808 and 71/938808?
938808
What is the common denominator of -58/9 and 29/103320?
103320
Find the common denominator of -95/112 and 79/16800.
16800
Calculate the common denominator of -80/663 and -91/15402.
200226
Calculate the smallest common multiple of 41808 and 51456.
668928
What is the common denominator of -7/4 and -15/2201?
8804
What is the lowest common multiple of 118230 and 42?
118230
Calculate the least common multiple of 39724 and 4.
39724
Calculate the smallest common multiple of 3543600 and 487245.
38979600
Calculate the common denominator of -19/18600 and 101/329220.
3292200
Calculate the common denominator of -115/102 and 71/1226108.
3678324
Calculate the lowest common multiple of 17931 and 9.
53793
What is the common denominator of 91/288 and 137/71680?
645120
Calculate the smallest common multiple of 7501 and 12.
90012
Find the common denominator of 103/36225 and -58/855.
688275
What is the common denominator of 1/25760 and -95/2464?
283360
Calculate the common denominator of 73/35 and -121/1699950.
1699950
Calculate the smallest common multiple of 25288 and 96.
303456
Calculate the smallest common multiple of 36080 and 295.
|
{
"pile_set_name": "DM Mathematics"
}
|
onds?
810
What is 7/8 of a litre in millilitres?
875
How many millilitres are there in 30363.57 litres?
30363570
How many minutes are there in twenty-nine fifths of a hour?
348
How many meters are there in 896358.8cm?
8963.588
Convert 5305.34 minutes to seconds.
318320.4
How many kilometers are there in 96232.96mm?
0.09623296
What is 6/5 of a milligram in micrograms?
1200
What is 1/6 of a hour in seconds?
600
How many milligrams are there in 12/25 of a gram?
480
What is 118279.26 milliseconds in minutes?
1.971321
How many millilitres are there in 1/4 of a litre?
250
How many centuries are there in 26440.485 months?
22.0337375
How many millilitres are there in eighteen fifths of a litre?
3600
What is five sixths of a week in minutes?
8400
What is 828804.9ms in microseconds?
828804900
What is 859406.1 milligrams in micrograms?
859406100
What is 13.5289953 nanoseconds in days?
0.00000000000015658559375
What is 3.828223 years in centuries?
0.03828223
What is 19.75383l in millilitres?
19753.83
What is 97/2 of a litre in millilitres?
48500
How many millilitres are there in 55/4 of a litre?
13750
How many minutes are there in three eighths of a week?
3780
What is 11/8 of a litre in millilitres?
1375
How many hours are there in 1/6 of a week?
28
How many minutes are there in 57/7 of a week?
82080
Convert 0.2983233 millennia to decades.
29.83233
What is 4.397983 tonnes in kilograms?
4397.983
How many micrometers are there in 1/5 of a centimeter?
2000
Convert 315752.7 grams to tonnes.
0.3157527
How many millilitres are there in 3/10 of a litre?
300
How many seconds are there in three fifths of a hour?
2160
What is 1/4 of a meter in centimeters?
25
What is 5/4 of a microgram in nanograms?
1250
How many nanograms are there in seven quarters of a microgram?
1750
What is 46/5 of a litre in millilitres?
9200
How many millilitres are there in thirteen quarters of a litre?
3250
How many years are there in 11/4 of a millennium?
2750
Convert 437622.6 weeks to seconds.
264674148480
How many litres are there in 0.857871 millilitres?
0.000857871
How many kilometers are there in 945051.9um?
0.0009450519
What is twenty-five quarters of a week in minutes?
63000
How many millilitres are there in 7/4 of a litre?
1750
What is 1/80 of a kilogram in milligrams?
12500
Convert 147.8613us to milliseconds.
0.1478613
Convert 7986.419 milligrams to nanograms.
7986419000
What is 56.25445 litres in millilitres?
56254.45
What is 0.6024641 grams in kilograms?
0.0006024641
How many millilitres are there in 536.3965l?
536396.5
Convert 0.9167696 years to decades.
0.09167696
How many seconds are there in 29/3 of a minute?
580
What is fourty-seven quarters of a litre in millilitres?
11750
What is fifteen quarters of a millennium in years?
3750
Convert 18533996.1 milliseconds to days.
0.21451384375
Convert 1.366221l to millilitres.
1366.221
What is seven sixths of a minute in milliseconds?
70000
Convert 0.0030783 grams to tonnes.
0.0000000030783
How many litres are there in 63.38339 millilitres?
0.06338339
Convert 52373.68 milliseconds to microseconds.
52373680
What is 6/5 of a litre in millilitres?
1200
What is 3/5 of a millimeter in micrometers?
600
Convert 0.1719661 litres to millilitres.
171.9661
Convert 12155.44t to nanograms.
12155440000000000000
How many months are there in 36536.39 decades?
4384366.8
What is 0.4886377cm in meters?
0.004886377
How many nanograms are there in twenty-seven fifths of a microgram?
5400
How many centimeters are there in 3/40 of a kilometer?
7500
What is 706.1453 decades in centuries?
70.61453
What is five eighths of a litre in millilitres?
625
How many micrograms are there in 616944.4 milligrams?
616944400
What is 15/4 of a litre in millilitres?
3750
How many decades are there in 32/5 of a century?
64
What is 21/8 of a millimeter in micrometers?
2625
What is 7018.14ns in seconds?
0.00000701814
How many micrometers are there in eleven halves of a centimeter?
55000
What is 89637.9 millilitres in litres?
89.6379
Convert 1435.975 years to millennia.
1.435975
How many minutes are there in 13/4 of a hour?
195
What is twenty-five quarters of a litre in millilitres?
6250
How many minutes are there in twenty-eight thirds of a hour?
560
How many hours are there in 803.57616 seconds?
0.2232156
What is 93025.16ml in litres?
93.02516
How many millilitres are there in 31/5 of a litre?
6200
Convert 1381876.02 minutes to weeks.
137.090875
How many grams are there in eleven halves of a kilogram?
5500
What is 412.5157 decades in millennia?
4.125157
What is 64/5 of a millimeter in micrometers?
12800
How many milliseconds are there in 1/6 of a minute?
10000
What is three fifths of a hour in minutes?
36
Convert 0.0485206 litres to millilitres.
48.5206
What is 29/5 of a millimeter in micrometers?
5800
How many tonnes are there in 0.6746213g?
0.0000006746213
What is 60.9365 days in minutes?
87748.56
How many grams are there in 37/5 of a kilogram?
7400
How many years are there in 3/5 of a decade?
6
How many seconds are there in one sixth of a day?
14400
How many litres are there in 0.5316611ml?
0.0005316611
How many millilitres are there in three eighths of a litre?
375
How many decades are there in 632728.1 years?
63272.81
Convert 4.81828 weeks to nanoseconds.
2914095744000000
What is 5/4 of a centimeter in micrometers?
12500
What is three tenths of a micrometer in nanometers?
300
How many months are there in seven quarters of a decade?
210
What is 11/2 of a litre in millilitres?
5500
What is 8290.557 micrometers in nanometers?
8290557
What is 27.39677 days in microseconds?
2367080928000
How many months are there in three sixteenths of a millennium?
2250
How many meters are there in 43/2 of a kilometer?
21500
Convert 0.413436 years to centuries.
0.00413436
How many nanoseconds are there in 4958.259 microseconds?
4958259
How many millilitres are there in 46/5 of a litre?
9200
What is 19.94799ug in tonnes?
0.00000000001994799
How many weeks are there in 20156.4972 hours?
119.97915
What is twenty-nine halves of a litre in millilitres?
14500
How many nanograms are there in 3205.962ug?
3205962
Convert 0.4852531 centimeters to micrometers.
4852.531
How many months are there in 0.013517 millennia?
162.204
What is 0.4781949 grams in micrograms?
478194.9
Convert 0.385872 centuries to years.
38.5872
How many nanometers are there in 3/8 of a micrometer?
375
How many tonnes are there in 4827.272ug?
0.000000004827272
What is 16/15 of a millennium in months?
12800
Convert 484.538 milligrams to nanograms.
484538000
Convert 0.7690547 micrometers to meters.
0.0000007690547
What is 92868.88ml in litres?
92.86888
How many nanometers are there in 583.0976cm?
5830976000
What is 27/2 of a second in milliseconds?
13500
What is 26/5 of a hour in seconds?
18720
What is 40.17637l in millilitres?
40176.37
How many milliseconds are there in 29853.32 seconds?
29853320
How many months are there in 21/8 of a millennium?
31500
How many seconds are there in 3.629497us?
0.000003629497
What is 1/20 of a micrometer in nanometers?
50
Convert 82.54448kg to milligrams.
82544480
What is three tenths of a minute in seconds?
18
How many millennia are there in 0.675819 centuries?
0.0675819
How many milliseconds are there in 0.486017ns?
0.000000486017
How many decades are there in seventy-three fifths of a century?
146
How many nanograms are there in 208713.1 micrograms?
208713100
What is 75/2 of a tonne in kilograms?
37500
How many meters are there in 27/5 of a kilometer?
5400
What is 11/8 of a litre in millilitres?
1375
What is 14864.148 months in decades?
123.8679
How many minutes are there in one fifth of a hour?
12
How many minutes are there in 29/3 of a week?
97440
How many millennia are there in 91229.6 decades?
912.296
What is 58220.7km in millimeters?
58220700000
What is 0.7157617 years in centuries?
0.007157617
How many milliseconds are there in 43/4 of a second?
10750
How many minutes are there in 42/5 of a week?
84672
What is 0.6028589mg in nanograms?
602858.9
How many centuries are there in 2583193.5 months?
2152.66125
What is 61.40785l in millilitres?
61407.85
How many millimeters are there in three fifths of a meter?
600
How many millilitres are there in twenty-one quarters of a litre?
5250
How many
|
{
"pile_set_name": "DM Mathematics"
}
|
77*r - 5. Determine -l(q) + 5*u(q).
2*q**3 + 77*q
Let q(i) = 2*i - 3. Let t be (0 + (-35)/(-5))/1. Suppose 0 = -7*j + t. Let o(g) = -g + 1. What is j*q(f) + 5*o(f)?
-3*f + 2
Let s(u) = -2*u**3 - u**2. Let p(o) be the first derivative of -o**4/4 + o**3/3 - o**2/2 + 110. Give p(b) + s(b).
-3*b**3 - b
Suppose 5*p = 7 + 3. Let y(k) = -1 - 1 + 2*k**p - 2*k + 2 + 2. Let j(o) = o**3 - 9*o**2 + 9*o - 9. Let n = -21 - -12. What is n*y(w) - 2*j(w)?
-2*w**3
Let y = 395 - 400. Let h(n) = 4*n - 1. Let c(f) = -3*f + 1. Let x be (8/(-10))/(1/5). What is x*h(r) + y*c(r)?
-r - 1
Let k(v) = -2*v + 24. Let t(i) = i - 11. Determine 3*k(o) + 5*t(o).
-o + 17
Let x(m) = -1. Let o = 3 + 21. Let k(b) = 21*b - 16 - o*b + 21. Determine k(t) + 6*x(t).
-3*t - 1
Suppose 0 = 32*g - 74 + 42. Let l(t) = 8*t + 5. Suppose -5 = -2*v - 2*f - 19, 0 = -2*v - 3*f - 16. Let c(o) = o + 1. Calculate g*l(b) + v*c(b).
3*b
Let g(v) = v - 4. Let j(h) be the first derivative of 5*h**2/2 - 21*h + 551. What is -11*g(w) + 2*j(w)?
-w + 2
Let s(n) = n**2 + n + 2. Let c(w) = -5 - 3*w + 0*w + 2*w - w - 2*w**2. Let o = -27 + 24. Give o*c(d) - 8*s(d).
-2*d**2 - 2*d - 1
Let w(i) = i**2. Let h(x) = x**2 - x + 3. Determine -2*h(k) - 10*w(k).
-12*k**2 + 2*k - 6
Let g(j) = 243*j - 17. Let f(b) = -2*b - 5. What is -3*f(r) + g(r)?
249*r - 2
Let j(b) = -b**2. Let p be 66/(-24)*(-4)/1. Suppose -p + 46 = 5*o. Let m(z) = 4*z**2. Give o*j(y) + 2*m(y).
y**2
Let r(x) = -133*x**3 + 8*x**2 - 3*x - 8. Let y(n) = 89*n**3 - 5*n**2 + 2*n + 5. What is -5*r(k) - 8*y(k)?
-47*k**3 - k
Suppose -v + 3 + 5 = 0. Let l(t) = 7*t - 3. Let p(r) be the first derivative of 11*r**2/2 - 5*r - 54. Suppose -11 = 3*x + 4. What is v*l(m) + x*p(m)?
m + 1
Suppose -8*u + 2*u = -54. Let j(f) = -f**2 - 21*f. Let s(o) = 4 + 1 - 5*o - 5. What is u*s(q) - 2*j(q)?
2*q**2 - 3*q
Let g(j) = -13*j + 5. Let m(y) = -7*y + 2. Let b be ((-8)/1 - -4)/2. Give b*g(h) + 5*m(h).
-9*h
Let d(f) = 1. Let g(p) = -p - 6. Let s be (-2 + (-144)/(-66))/((-1)/(-11)). Calculate s*g(a) + 11*d(a).
-2*a - 1
Let a(t) = 15*t**2 + 106*t + 3. Let b be a(-7). Let l(c) = -5*c - 4. Let p(v) = 6*v + 4. Give b*l(i) - 3*p(i).
2*i + 4
Let i(t) = -4*t + 5. Let y(q) = 9*q - 11. Let r(z) = -11*z + 13. Let j(s) = 5*r(s) + 6*y(s). Determine i(o) - 3*j(o).
-o + 8
Let y(t) = t - 1. Let m be (-1)/(4/(-1) + 3). Let u(l) = 0*l + 2 + 3 + l**3 - l - 3*l. What is m*u(p) + 6*y(p)?
p**3 + 2*p - 1
Let o(j) = 16*j - 3. Let m(t) = 48*t - 8. Determine -5*m(y) + 14*o(y).
-16*y - 2
Let y(l) = -7*l**2 + 19*l - 1. Let v(t) = 6*t**2 - 24*t + 1. Determine -3*v(u) - 2*y(u).
-4*u**2 + 34*u - 1
Let b(w) be the second derivative of w**3/6 - w**2 + 3*w - 4. Let a(k) = k. Let n be a(-3). Let u(l) = 1. What is n*u(m) - b(m)?
-m - 1
Let u(d) = 6*d**2 - 8*d - 6. Let v(i) be the second derivative of -5*i**4/12 + 7*i**3/6 + 5*i**2/2 - 12*i + 4. Determine -3*u(k) - 4*v(k).
2*k**2 - 4*k - 2
Let s(l) = -6*l**3 + 4*l - 14. Let x(b) = -7*b**3 + 5*b - 15. Calculate 3*s(d) - 2*x(d).
-4*d**3 + 2*d - 12
Let y(u) = -u**2 - u. Let k(g) = -20*g**2 - 12*g - 2. Suppose 3*o + 6 = 0, 2*q + 22 = -o + 2*o. Calculate q*y(a) + k(a).
-8*a**2 - 2
Let q(k) = 2*k**2 - 7*k. Let a(t) = -16*t**2 + 16*t. Let z(o) = -21*o**2 + 14*o. Let x(y) = 3*a(y) - 2*z(y). Calculate 11*q(w) + 4*x(w).
-2*w**2 + 3*w
Let n(f) = 5*f - 10. Let i(g) = -3*g + 5. Let p(l) = -7*i(l) - 3*n(l). Let t(x) = -10*x + 2 + 9 - 3*x. Suppose 4*v - 5*v + 4 = 0. Give v*t(r) + 9*p(r).
2*r - 1
Let n(d) = -d - 18. Let m(v) = 3*v + 37. What is 2*m(o) + 5*n(o)?
o - 16
Let i(k) = 1 + 3*k - 8*k + 4*k. Let s(u) = -4*u + 3. Let m(a) = -7*i(a) + 2*s(a). Let q(b) = -28*b - 24. Calculate 24*m(v) - q(v).
4*v
Let g(d) = -11*d**3 - 10. Let j(h) = -100*h**3 - 90. Give -55*g(u) + 6*j(u).
5*u**3 + 10
Let b(y) = 1935*y + 140. Let q(f) = 215*f + 16. What is -4*b(l) + 35*q(l)?
-215*l
Let t(l) = -2*l + 5. Let y(s) = s. Determine -t(n) - 3*y(n).
-n - 5
Let h(d) = 10*d - 8*d + 3 - d**2 - 1 + 0. Suppose -5*s = -11 + 46. Let f(v) = -4*v**2 + 7*v + 7. Give s*h(y) + 2*f(y).
-y**2
Let y = -24 - -17. Let l(d) = -13*d**3 + 6 + 9*d**3 - 6*d**2 + 13*d**2. Let j(g) be the second derivative of -g**5/20 + g**4/6 + g**2 - g. Give y*j(o) + 2*l(o).
-o**3 - 2
Let u(x) = 7*x - 9. Let j(r) = -3*r + 4. Let h be 10/(-2)*(-4)/((-16)/4). Calculate h*j(t) - 2*u(t).
t - 2
Let f(q) be the second derivative of q**3/6 - 73*q. Let k(v) = 4*v + 3. Let h(d) = 5*d + 3. Let i(n) = 3*h(n) - 4*k(n). Determine -f(s) + i(s).
-2*s - 3
Let m(d) be the second derivative of -5*d**3/6 + 11*d**2/2 + 8*d + 29. Let g(a) = -3*a + 5. Give 9*g(z) - 4*m(z).
-7*z + 1
Let f(c) = 5*c**2 - 30*c - 5. Let s(v) = -4*v**2 + 30*v + 4. What is -5*f(y) - 6*s(y)?
-y**2 - 30*y + 1
Let y(u) = -7*u. Let s = -194 + 188. Let f(p) = 91*p. Calculate s*f(o) - 77*y(o).
-7*o
Let f(v) = 4*v**2 + v - 1. Let w(d) = -2 + d**2 + 3*d**2 - 25*d - 2 + 24*d. Let s(z) = 5*z**2 - z - 5. Let i(n) = -5*s(n) + 6*w(n). Calculate -f(o) - i(o).
-3*o**2
Let g(n) = -6*n**3 - 2*n**2 - 2*n. Let z(w) be the third derivative of 7*w**6/20 + w**5/4 + 5*w**4/8 + 9*w**2 - 1. Give 15*g(v) + 2*z(v).
-6*v**3
Let x(m) = 3*m + 6. Let a(n) = -2*n + 61. Let f be a(27). Let u(i) be the first derivative of -f + 5/2*i**2 + 11*i. Calculate 4*u(t) - 7*x(t).
-t + 2
Let h(j) = 7*j - 2. Let l(y) = -y - 1. Let p(x) = -x**2 - 58*x + 313. Let o be p(-63). Give o*l(t) + h(t).
9*t
Let z(y) = 218*y**3 + 2*y**2 + 9*y + 9. Let c(w) = 109*w**3 + w**2 + 4*w + 4. Determine 9*c(l) - 4*z(l).
109*l**3 + l**2
Let u(x) = 3*x**2 + 2*x + 13. Let d(y) = -7*y**2 - 4*y - 29. Determine 2*d(g) + 5*u(g).
g**2 + 2*g + 7
Let z(x) = x**3 - 3 - 9*x - 4 - x**2 - 6 + 9*x**2. Let v be z(-9). Let w(h) = -9*h - 4. Let l(r) = -19*r - 9. Give v*w(i) + 6*l(i).
3*i - 2
Suppose 9*a - 10 = 8. Let f(q) = q**2 - 4. Let i(l) = l**2 + 2*l - 3. Let t(r) = r**2 + 3*r - 4. Let g(x) = 3*i(x) - 2*t(x). Calculate a*g(n) - f(n).
n**2 + 2
Let n(p) = 299*p**3 + 33*p**2 + 33 + 2*p - 2*p - 284*p**3. Let t be (-21)/14*8/6. Let c(l) = -l**3 - 2*l**2 - 2. Give t*n(o) - 33*c(o).
3*o**3
Let y(i) = -707*i**3 - 5*i**2 - 5*i + 5. Let p(l) = -99333*l**3 - 702*l**2 - 702*l + 702. Give -5*p(z) + 702*y(z).
351*z**3
Let w(p) = -2*p. Let c(k) = 21*k - 3. Give 2*c(m) + 10*w(m).
22*m - 6
Let t(d) = -2. Let r(m) = -136*m - 16. Give -r(x) + 8*t(x).
136*x
Let o(x) = -x - 13. Let w(p) = -2*p - 25. Calculate -5*o(i) + 2*w(i).
i + 15
Suppose 30*q = 24*q + 36. Let t = 5 - 22. Let u(y) = -6*y**3 + 17*y**2 + 14*y + 17. Let x(r) = -2*r**3 + 6*r**2 + 5*r + 6. Calculate q*u(v) + t*x(v).
-2*v**3 - v
Let r(k) = 30*k - 1 - 26*k + 2. Let q(x) = -14*x - 64. Let g be q(-5). Let l(z) = -5*z - 4. Let f(s) = 1. Let b(o) = 3*f(o) + l(o). Calculate g*b(m) + 7*r(m).
-2*m + 1
Let t(c) = -149*c - 8. Let w(a) = a**2 + 151*a + 10. Determine 5*t(l) + 4*w(l).
4*l**2 - 141*l
Let o(i) be the third derivative of 2*i**5/15 - 2*i**3/3 + 291*i**2. Let f(u) = -u**2 + 1. Determine -12*f(l) - 3*o(l).
-12*l**2
Let y(d) = 7*d + 5. Suppose 6*l + 79 = 73. Let i(v) = v + 1. What is l*y(g) + 6*i(g)?
-g + 1
Let o(g) = -8*g**2 - g. Let l(x) = -x**2 + 16*x - 45. Let t be l(13). Let d(v) = 15*v**2 + 2*v. Give t*d(w) - 11*o(w).
-2*w**2 - w
Let d(w) = 3*w. Let g be d(2). Let n be 27/(-36)*(-16)/g. Let x(z) = -81*z**2. Let p(i) = -5*i**2. Determine n*x(y) - 33*p(y).
3*y**2
Let p(c) = -c**3 - 2*c + 2. Let a(y) be the first derivative of -y**3/3 - y + 303. Calculate -2*a(g) - p(g).
g**3 + 2*g**2 + 2*g
Let d(k) = 6*k**3 - 20*k**2 - 17*k + 11. Let s(l) = -2*l**3 + 7*l**2 + 6*l - 4. Suppose -a + 21 = 5*j - 61, 5*j - 91 = 2*a. Give j*s(n) + 6*d(n).
2*n**3 - n**2 - 2
Let x(k) = 4*k**3 + 8*k**2 - 3*k - 6. Let i(a) = -7*a**3 - 18*a**2 + 7*a + 13. Calculate -2*i(p) - 5*x(p).
-6*p**3 - 4*p**2 + p + 4
Let r(d) = d + 1. Let t(p) = p**2 + 3*p + 7. Let m = -2253 - -2254. Give m*t(l) - 3*r(l).
l**2 + 4
Let n(w) = 5. Let u(v) = -14. Let g(r) = 11*n(r) + 4*u(r). Let t(z) be the second derivative of z**3/6 - z**2/2 - 458*z. Give 3*g(s) - t(s).
-s - 2
Let s(p) = -2*p**3 + 3*p - 1. Let i(f) = 36*f**3 + 6*f - 4. Determine 2*i(c) - 4*s(c).
80*c**3 - 4
Let d(g) = -2*g**3 + 7*g**2 + 6. Let a(l) = -4*l**3 + 13*l**2 + 11. Calculate -6*a(n) + 11*d(n).
2*n**3 - n**2
Suppose -5*t = -6*t. Suppose t = u - 4 - 2. Let w(b) = u + 3*b + 2*b - 4*b. Let v(d) = -d -
|
{
"pile_set_name": "DM Mathematics"
}
|
picking 4 l.
33/91
What is prob of picking 3 x and 1 s when four letters picked without replacement from {s: 7, x: 12}?
385/969
What is prob of picking 2 d when two letters picked without replacement from ddjgc?
1/10
What is prob of picking 1 s, 1 r, and 1 q when three letters picked without replacement from srrrrqqrrsrr?
8/55
Two letters picked without replacement from gagggggbaaaaggaass. Give prob of picking 1 b and 1 a.
7/153
Calculate prob of picking 1 l and 3 f when four letters picked without replacement from {l: 3, f: 7}.
1/2
What is prob of picking 2 d when two letters picked without replacement from {l: 1, d: 2}?
1/3
Calculate prob of picking 2 s and 1 x when three letters picked without replacement from sssxossxssssaosx.
27/112
Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {i: 1, b: 1, w: 2, n: 1}.
1/5
What is prob of picking 4 g when four letters picked without replacement from {c: 9, g: 11}?
22/323
Two letters picked without replacement from gpspgssg. What is prob of picking 2 g?
3/28
What is prob of picking 2 v and 2 q when four letters picked without replacement from {q: 3, v: 5}?
3/7
Four letters picked without replacement from {i: 3, b: 15}. Give prob of picking 2 i and 2 b.
7/68
Four letters picked without replacement from {x: 3, j: 2}. What is prob of picking 1 j and 3 x?
2/5
Calculate prob of picking 3 m and 1 i when four letters picked without replacement from mmmmmmmimmmmimmmmm.
56/153
Four letters picked without replacement from {g: 1, a: 4, v: 6, o: 2, r: 1, w: 1}. What is prob of picking 1 w, 1 v, 1 g, and 1 o?
4/455
Calculate prob of picking 1 o, 1 t, and 1 g when three letters picked without replacement from {k: 1, o: 3, f: 3, t: 8, g: 4}.
32/323
Calculate prob of picking 1 i and 1 x when two letters picked without replacement from vvvsxvsvvvivvavssv.
1/153
Four letters picked without replacement from zeezeeczfzeffzezczez. What is prob of picking 1 f, 1 e, and 2 c?
7/1615
What is prob of picking 3 m and 1 a when four letters picked without replacement from amammmkmzmmmkmmm?
33/182
Calculate prob of picking 4 d when four letters picked without replacement from {d: 12, k: 1}.
9/13
Calculate prob of picking 1 v and 1 i when two letters picked without replacement from omummvvmuuooiimmuu.
4/153
Four letters picked without replacement from {w: 3, m: 8}. What is prob of picking 1 w and 3 m?
28/55
Three letters picked without replacement from zdzdqzzzzzzdqbqqbz. What is prob of picking 2 z and 1 d?
9/68
Two letters picked without replacement from jjfjkjjfjjjk. What is prob of picking 1 k and 1 j?
8/33
Two letters picked without replacement from {y: 2, i: 1, u: 1, a: 1}. Give prob of picking 1 y and 1 u.
1/5
What is prob of picking 1 r and 1 b when two letters picked without replacement from {b: 3, r: 3}?
3/5
Calculate prob of picking 1 n and 1 k when two letters picked without replacement from kvkvnkkvkvkvkknvn.
3/17
Three letters picked without replacement from {s: 3, f: 1, k: 3, x: 1, r: 2, a: 2}. What is prob of picking 2 s and 1 r?
3/110
Two letters picked without replacement from shhishhshshhshhhh. What is prob of picking 1 i and 1 s?
5/136
What is prob of picking 1 y and 1 w when two letters picked without replacement from {r: 4, w: 1, e: 2, y: 7, j: 2}?
7/120
Three letters picked without replacement from bbbbbb. What is prob of picking 3 b?
1
Two letters picked without replacement from lffqlllfflflllfflll. Give prob of picking 2 f.
7/57
Calculate prob of picking 1 d and 2 k when three letters picked without replacement from kddsks.
1/10
Four letters picked without replacement from kwkkjhhhwkbzjz. Give prob of picking 1 z, 1 h, and 2 w.
6/1001
Three letters picked without replacement from {z: 1, f: 8, c: 8}. What is prob of picking 3 z?
0
Four letters picked without replacement from ejjjjjjaajjjjeajj. Give prob of picking 3 j and 1 a.
33/119
Three letters picked without replacement from ebbtotebotb. Give prob of picking 3 b.
4/165
Calculate prob of picking 1 j and 1 l when two letters picked without replacement from kdljjkldkdkdxd.
4/91
Three letters picked without replacement from fkztfgzj. What is prob of picking 1 j and 2 f?
1/56
What is prob of picking 2 l when two letters picked without replacement from lyl?
1/3
Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {w: 1, p: 6, j: 3, b: 1, z: 3}.
1/91
Calculate prob of picking 2 q, 1 p, and 1 x when four letters picked without replacement from {q: 2, p: 2, r: 1, x: 1}.
2/15
Four letters picked without replacement from ppoppooopopopo. What is prob of picking 4 o?
5/143
What is prob of picking 1 f and 2 v when three letters picked without replacement from {f: 4, v: 2}?
1/5
Three letters picked without replacement from {t: 4, g: 2, j: 1}. What is prob of picking 1 t and 2 g?
4/35
What is prob of picking 4 x when four letters picked without replacement from {t: 1, p: 4, x: 4, k: 2}?
1/330
Calculate prob of picking 1 l and 2 h when three letters picked without replacement from {h: 3, l: 5}.
15/56
Four letters picked without replacement from sfsssssfsss. What is prob of picking 4 s?
21/55
Four letters picked without replacement from {p: 1, o: 2, s: 1, q: 7, z: 6, c: 2}. What is prob of picking 1 p, 1 s, and 2 z?
5/1292
Calculate prob of picking 3 g when three letters picked without replacement from {y: 2, g: 9}.
28/55
What is prob of picking 2 z when two letters picked without replacement from {z: 3, v: 2}?
3/10
Two letters picked without replacement from {r: 2, t: 13, u: 2, e: 2}. What is prob of picking 2 t?
26/57
Two letters picked without replacement from zfffzfkfz. What is prob of picking 1 k and 1 f?
5/36
Calculate prob of picking 2 z and 1 i when three letters picked without replacement from wzwzzwzziwwwiiwwi.
1/17
What is prob of picking 2 g, 1 d, and 1 m when four letters picked without replacement from {g: 8, w: 4, d: 1, m: 2, i: 2, l: 2}?
14/969
Calculate prob of picking 1 y and 1 p when two letters picked without replacement from pyryrrr.
2/21
Calculate prob of picking 2 r when two letters picked without replacement from ffrrrrfrrrfurrfrufr.
55/171
Three letters picked without replacement from jjbydiifjbdj. What is prob of picking 1 i and 2 d?
1/110
Two letters picked without replacement from gaaaaagaa. What is prob of picking 1 a and 1 g?
7/18
Two letters picked without replacement from brbpsp. What is prob of picking 1 b and 1 p?
4/15
What is prob of picking 4 j when four letters picked without replacement from rrnjrjjrrrrjrnnrnnr?
1/3876
Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {r: 3, t: 1, n: 1, v: 1, p: 1}.
1/21
Three letters picked without replacement from {v: 9, t: 3}. Give prob of picking 3 v.
21/55
Calculate prob of picking 2 w when two letters picked without replacement from {e: 4, v: 3, w: 2}.
1/36
Two letters picked without replacement from tccsctsawwxsttc. What is prob of picking 1 s and 1 t?
4/35
What is prob of picking 1 r and 1 a when two letters picked without replacement from {a: 8, b: 4, r: 1}?
4/39
Two letters picked without replacement from {d: 7, o: 6}. What is prob of picking 2 o?
5/26
Four letters picked without replacement from ttdttjtjjjmmtt. Give prob of picking 1 d and 3 j.
4/1001
Two letters picked without replacement from {s: 2, h: 1}. Give prob of picking 2 s.
1/3
Calculate prob of picking 1 w and 1 a when two letters picked without replacement from awawwwwaawawwwww.
11/24
Three letters picked without replacement from {x: 3, s: 5, d: 1, k: 1, b: 2, o: 3}. Give prob of picking 1 o, 1 s, and 1 d.
3/91
Two letters picked without replacement from {x: 1, c: 2, f: 3, j: 2, b: 4, w: 2}. What is prob of picking 1 x and 1 w?
2/91
Calculate prob of picking 2 b and 2 x when four letters picked without replacement from {x: 4, b: 2, w: 1, r: 2}.
1/21
Two letters picked without replacement from {a: 9}. Give prob of picking 2 a.
1
Two letters picked without replacement from vqqeqeq. What is prob of picking 1 v and 1 q?
4/21
Calculate prob of picking 1 i and 3 c when four letters picked without replacement from iccic.
2/5
What is prob of picking 2 y when two letters picked without replacement from yyyiyyyiy?
7/12
Three l
|
{
"pile_set_name": "DM Mathematics"
}
|
qrt(8)/sqrt(4)) - -2*(-2 + sqrt(3)))**2 - -3*(sqrt(3) + (sqrt(24)/sqrt(2))**2 - sqrt(3))).
-24*sqrt(3) + 77
Simplify (-3*(2 + sqrt(4050) + 0 - (sqrt(5000)*-2 + 1)))**2.
2610*sqrt(2) + 378459
Simplify (-3*(sqrt(99)*-4 - sqrt(99)) + sqrt(99))/(sqrt(9) + (sqrt(9) + sqrt(576)*-3 + sqrt(9) - sqrt(9)))*5.
-40*sqrt(11)/11
Simplify -1 + sqrt(13) + 5 + (-5*sqrt(208))**2 - (-3*1*sqrt(91))/(2*sqrt(700)).
23*sqrt(13)/20 + 5204
Simplify (sqrt(102)/(sqrt(48)/(sqrt(16)/sqrt(2))) + -6*((3*sqrt(187))/sqrt(11) + sqrt(17)))**2.
8993
Simplify (sqrt(2448) + (sqrt(2448)*-2 + sqrt(2448))**2 + sqrt(153)/(sqrt(9) + sqrt(72)/sqrt(8)))*1.
25*sqrt(17)/2 + 2448
Simplify 2*6*1*sqrt(88)/(sqrt(8) + sqrt(16)/sqrt(2)).
6*sqrt(11)
Simplify ((5 + (0 + sqrt(325) - sqrt(156)/sqrt(192)))**2 + 5)*6.
285*sqrt(13) + 15519/8
Simplify -5 + 0 + sqrt(13) + (sqrt(13) - sqrt(52)/sqrt(4)) - sqrt(156)/(2*sqrt(48) + sqrt(48)).
-5 + 5*sqrt(13)/6
Simplify 2*((-3*sqrt(320)*5)**2 + 3).
144006
Simplify 6*(0 + (sqrt(608) + (sqrt(608) - (sqrt(608)*-1 + sqrt(608) + sqrt(608))))/(sqrt(50) + 1*sqrt(50)) + -3).
-18 + 12*sqrt(19)/5
Simplify 5 + ((sqrt(4032) - ((sqrt(4032) + 2 - sqrt(4032)) + -3)) + sqrt(4032) + sqrt(4032))**2*-3.
-108862 - 432*sqrt(7)
Simplify -1*(-2*(sqrt(72) - (1*sqrt(72))**2) - (0 + (sqrt(72)*-2)**2)).
12*sqrt(2) + 144
Simplify ((sqrt(220)/sqrt(16))/sqrt(11))**2 - (sqrt(5) + (sqrt(5) - (-1 + sqrt(45)/sqrt(9) - sqrt(5) - sqrt(5))**2) + sqrt(5))*-4.
-91/4 + 4*sqrt(5)
Simplify 4 + (sqrt(180) - (sqrt(180) + -1 + sqrt(180)))*-1*6 + 3.
1 + 36*sqrt(5)
Simplify -3*(sqrt(425) + (sqrt(425) - (5*sqrt(425)*-3 - sqrt(425)))**2 - sqrt(425)) + -4.
-368479
Simplify 4 + 5*2*(-1 + -2*sqrt(162))**2.
360*sqrt(2) + 6494
Simplify -4*(4 + sqrt(65)/sqrt(245)*6)**2*-3.
576*sqrt(13)/7 + 15024/49
Simplify 5 + (sqrt(216)/(sqrt(36)/sqrt(4)))/((sqrt(900) + sqrt(36))/sqrt(3)).
sqrt(2)/6 + 5
Simplify (sqrt(3)*-2 - sqrt(3)) + 4 + sqrt(75)*2 + sqrt(15)/(sqrt(20)/(sqrt(144) + sqrt(4)) + sqrt(5)) + 0.
4 + 63*sqrt(3)/8
Simplify -3*(sqrt(11) + -1 + sqrt(11) + 0 + sqrt(11)) - (-3 + sqrt(176) + 0).
-13*sqrt(11) + 6
Simplify 2*(1*(-2*sqrt(85) - sqrt(85)))/(sqrt(180)*-2).
sqrt(17)/2
Simplify (4*sqrt(102)*-2*4)/(2*sqrt(24)/sqrt(4) + 1*(-2*sqrt(6) + sqrt(6))).
-32*sqrt(17)
Simplify (-5 + 5*sqrt(475))**2 + (sqrt(152)*3*6)/sqrt(8).
-232*sqrt(19) + 11900
Simplify (-2*sqrt(156)*1*2)/(sqrt(72)/(6*-1*sqrt(6))).
24*sqrt(13)
Simplify 4 + -5 + 1 + (sqrt(3) - 2*sqrt(3) - sqrt(3)) + 5.
-2*sqrt(3) + 5
Simplify -2 + 4 + sqrt(44) + sqrt(44)/sqrt(4) + 4 + -2.
4 + 3*sqrt(11)
Simplify ((sqrt(539)*-3*1)/sqrt(11))/(sqrt(7) - (sqrt(7) - -2*sqrt(14)/sqrt(2)) - 5*(sqrt(28) + sqrt(7))).
3*sqrt(7)/17
Simplify 0 + ((sqrt(5) - sqrt(15)/sqrt(3))*-2 + -5)**2 - (-5 + 0 + sqrt(5) + (sqrt(20)/sqrt(4))**2 + sqrt(5) + sqrt(5))*-5.
25 + 15*sqrt(5)
Simplify ((3*sqrt(160))/(sqrt(72)*-2))**2 + (1 + sqrt(605) + (sqrt(605) - (1 + sqrt(605))) + -5 + sqrt(605))**2.
-220*sqrt(5) + 2450
Simplify (((sqrt(1089) - -1*sqrt(1089))*-2)/((-2*sqrt(363) + sqrt(363))*6))**2.
4/3
Simplify 1 + sqrt(500) + 3 + -3 + 3*(sqrt(500) + -2)*-4.
-110*sqrt(5) + 25
Simplify ((sqrt(280)/(sqrt(60)/(sqrt(54) + sqrt(6))))/(sqrt(40)/sqrt(490)*-2))**2.
1372
Simplify (sqrt(2052) - 2*((sqrt(2052)*-2 - sqrt(2052)) + sqrt(2052)))/(sqrt(21)/(sqrt(252)*-2)).
-360*sqrt(19)
Simplify (-3*sqrt(405) + -5 + -3 + -3)**2 + -2.
594*sqrt(5) + 3764
Simplify ((4*-1*sqrt(68)*-2)/(sqrt(20)/(sqrt(20)*1 - sqrt(5))))**2.
1088
Simplify -1*(((sqrt(75) + -1*sqrt(75) + 2)**2 - (2 + sqrt(75))*-6) + -5).
-30*sqrt(3) - 11
Simplify (-5 + (-4*sqrt(272))**2 + (2 + sqrt(68))*1)*-3.
-13047 - 6*sqrt(17)
Simplify (((sqrt(126) + sqrt(126)*1 + sqrt(126) + sqrt(126))*5)/sqrt(2))/(-5*(sqrt(9) + sqrt(324))).
-4*sqrt(7)/7
Simplify (((sqrt(121) + (sqrt(121) - sqrt(121)*4) + sqrt(121))*-3)/sqrt(11) - (-2*(sqrt(22) + (sqrt(66)/sqrt(3) - sqrt(22))))/sqrt(2))**2.
275
Simplify -1*(sqrt(114)/sqrt(2))/sqrt(3) + (sqrt(19) - sqrt(57)/sqrt(3)*1 - 3*(sqrt(19) - (sqrt(304))**2)) + 1.
-4*sqrt(19) + 913
Simplify (-3*(sqrt(78) + (sqrt(78) - ((sqrt(78) - (-2*sqrt(78) + sqrt(78))) + sqrt(78))) - sqrt(78)) + 4*1*sqrt(78))/(2*sqrt(1944)).
5*sqrt(13)/18
Simplify ((3*sqrt(96))/sqrt(800))**2 + 0.
27/25
Simplify 5 + ((sqrt(425) + sqrt(425) + -1 + sqrt(425))*5 + sqrt(425) + -5*(sqrt(425) + 1))**2.
-1100*sqrt(17) + 51530
Simplify ((sqrt(128) - sqrt(128)*-1)**2*-5 - sqrt(128) - sqrt(128))*-4 + 3 + (sqrt(4) - sqrt(12)/sqrt(3))/sqrt(2) + -2.
64*sqrt(2) + 10241
Simplify (1*1*sqrt(187)*4)/(-6*-1*2*sqrt(11)).
sqrt(17)/3
Simplify ((sqrt(64) + 2*sqrt(64) - sqrt(256)*-5)/(-1*(sqrt(512) - 2*sqrt(512))))**2.
169/8
Simplify (-3 + (1*sqrt(2880))/(sqrt(80)/sqrt(288)))**2.
-432*sqrt(2) + 10377
Simplify ((sqrt(34) - (sqrt(34) - sqrt(2176)*-1))*3)/(1*sqrt(1568)).
-6*sqrt(17)/7
Simplify ((sqrt(5) - (sqrt(5) + 1))*6 + -3*(sqrt(5) + 2))**2 + -4.
72*sqrt(5) + 185
Simplify (2*sqrt(65)*6 - (sqrt(65) - (sqrt(65) + -5*(sqrt(65) + sqrt(65) + (sqrt(65) - sqrt(65)*-2)) - sqrt(65) - sqrt(65))))/(-6*1*sqrt(320)).
5*sqrt(13)/16
Simplify ((sqrt(448)*1)**2 + -2 - sqrt(448))*-4 + -5*(sqrt(448) + 1) + -3 + (0 + sqrt(448))**2.
-1344 - 8*sqrt(7)
Simplify (0 + -5*(0 + sqrt(68)) + sqrt(68))**2*6*6.
39168
Simplify ((-1*(sqrt(147) + 1*sqrt(147)))**2 - (sqrt(147) + ((-2*sqrt(147) + -3)**2 - sqrt(147))))*-1.
9 + 84*sqrt(3)
Simplify (sqrt(825) - -3*sqrt(825)*-5 - sqrt(825))/((sqrt(432) + 2*sqrt(432))*3 + sqrt(432)).
-5*sqrt(11)/8
Simplify (-4*sqrt(51)*2*1)/((sqrt(3) - sqrt(6)/sqrt(2)*-6) + (sqrt(162)/sqrt(6) - sqrt(3))).
-8*sqrt(17)/9
Simplify ((sqrt(2) - sqrt(14)/sqrt(7)*2 - sqrt(2)) + 1 + sqrt(32)/sqrt(4)*6)**2.
20*sqrt(2) + 201
Simplify (sqrt(108)/(sqrt(75) + sqrt(3)))/((sqrt(3) - 6*-1*sqrt(3)) + (sqrt(12) - (sqrt(12) - (sqrt(12) - -1*sqrt(12)) - sqrt(12)))/sqrt(4)).
sqrt(3)/30
Simplify (sqrt(800)/sqrt(10) - sqrt(5))**2 + -2 + (sqrt(25)/(sqrt(25)/(1*sqrt(5)) + sqrt(5)))**2.
177/4
Simplify (3*(sqrt(605) - (sqrt(605) + 1 - sqrt(605)))**2 - (5 + (2 + sqrt(5))**2 - sqrt(5))*-5)*5.
-255*sqrt(5) + 9440
Simplify (1 + (sqrt(11) + sqrt(11) + sqrt(33)/(sqrt(3)*1 + sqrt(3)) + sqrt(11) - (sqrt(11) + (-2 + sqrt(396))**2)))*6.
-2394 + 159*sqrt(11)
Simplify (5*(5 + sqrt(156)/(-5*sqrt(1728))))**2.
-25*sqrt(13)/6 + 90013/144
Simplify ((sqrt(51) - sqrt(7344)*1)/(sqrt(300)*1) + -6*(-1*sqrt(68) + 4))**2.
-2616*sqrt(17)/5 + 259577/100
Simplify 5 + (5 + -5*(sqrt(18)/(sqrt(36)/sqrt(4)) + sqrt(2))*2)**2.
-200*sqrt(2) + 830
Simplify sqrt(2) - (3*sqrt(2)*1 - sqrt(2)) - (sqrt(30)/sqrt(3) - sqrt(10))/sqrt(5) - (-2 + (sqrt(72) - (sqrt(72)*2)**2)).
-7*sqrt(2) + 290
Simplify 3 + (sqrt(126)/sqrt(12))/(sqrt(72)/(sqrt(36)/sqrt(3))).
sqrt(7)/2 + 3
Simplify ((3*5*sqrt(6))/(sqrt(12)/sqrt(6)*5))**2.
27
Simplify (sqrt(2) + 0 + 2 + -4 + 1 + sqrt(54)/sqrt(3) + sqrt(2))**2 + 4.
-10*sqrt(2) + 55
Simplify ((-2*(sqrt(102) - 1*sqrt(102)))/sqrt(6) - (sqrt(2057) + 0 + sqrt(2057) + sqrt(2057) + 5 + sqrt(2057)))**2*4.
1760*sqrt(17) + 131748
Simplify (((-2*sqrt(136) + sqrt(136) + sqrt(136))*5 + sqrt(136) + -2*sqrt(136)*6)/(sqrt(40)/(-5*sqrt(10)/sqrt(2))))**2 + -2.
51423
Simplify 4*((sqrt(112) + -2)*3 - ((sqrt(112) - 3*sqrt(112))**2 + 4 - sqrt(112)))*-4.
-256*sqrt(7) + 7328
Simplify -1*(4 + sqrt(30)/sqrt(6)) + (sqrt(320)/(sqrt(48)/sqrt(6)))/sqrt(8).
-4
Simplify (1*(sqrt(2499) + 2*sqrt(2499)))/(sqrt(24)/(sqrt(24)/sqrt(3)) + (sqrt(24)*2)/sqrt(8)).
7*sqrt(17)
Simplify (sqrt(288) + (sqrt(288) + -1 - sqrt(288)) + -2 + sqrt(288) + 5*(1*sqrt(200) - sqrt(200)))**2*-4.
-4644 + 576*sqrt(2)
Simplify -4*(((sqrt(125) + 2)*-6 - sqrt(125) - sqrt(125))**2 + (3*(sqrt(125) - (sqrt(125) + 1))**2 - sqrt(125))).
-32588 - 3820*sqrt(5)
Simplify (1 + 2 + -2 + sqrt(13))**2 + sqrt(832) + (1*sqrt(832) + -1)**2.
-6*sqrt(13) + 847
Simplify -5*sqrt(468)*-4 - ((6*sqrt(117)*-5 + sqrt(117) + sqrt(117))/sqrt(9))**2.
-10192 + 120*sqrt(13)
Simplify (-3 + (3 + sqrt(243) + -1 - (0 + sqrt(243))*-2))**2*5.
-270*sqrt(3) + 10940
Simplify (0 + sqrt(50))*2 + (sqrt(800) + -3)**2.
-110*sqrt(2) + 809
Simplify ((3 + (sqrt(171) - (0 + sqrt(171))))*4)**2 - (-3 + sqrt(19)*1 + (sqrt(19) - ((1*sqrt(76))/sqrt(4))**2)).
-2*sqrt(19) + 166
Simplify ((sqrt(250)*2)/sqrt(10)*-2)/(2*sqrt(180) + 2*sqrt(320)).
-sqrt(5)/7
Simplify 5 + (5*(2 + sqrt(1377) + sqrt(1377)) - (sqrt(1377) + sqrt(1377)*1*1)**2) + -1.
-5494 +
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -4*l + 26 = 5*m, -p*m - 2*l + 5*l - 4 = 0. Put -5, -2/7, m in descending order.
m, -2/7, -5
Let l(a) = a**3 - 9*a**2 - 10*a - 3. Let x be l(10). Let w be (-36)/405*3/2. Put -2/11, w, -1/8, x in ascending order.
x, -2/11, w, -1/8
Let h be (-35)/10*(-48)/28. Put -4, 0.3, h in descending order.
h, 0.3, -4
Let f = -1.159 + 0.759. Put 4.09, f, -0.2 in descending order.
4.09, -0.2, f
Suppose 5*r - 6*r - 1 = 0. Sort -33, -5, r in increasing order.
-33, -5, r
Let a(x) = -6*x - 428. Let s be a(-68). Put s, 4, 3 in descending order.
4, 3, s
Let x be (-2)/(-8)*(-2 - -30). Let d(v) = -13 - v**2 + x*v + 16 - 6*v. Let p be d(0). Sort -2/7, -0.5, p in decreasing order.
p, -2/7, -0.5
Let f = -2.86 + 3.06. Let p = -0.6 - 3.4. Sort 10/3, p, f in decreasing order.
10/3, f, p
Let y = 82 + -79. Sort y, -1, -90 in decreasing order.
y, -1, -90
Suppose 0*m = 3*m - 9. Let z be ((-6)/(-5))/((-6)/(-20)). Suppose 22*l + 4*o = 25*l + 18, l = 3*o - 11. Put m, z, l in descending order.
z, m, l
Suppose -2*l + 12 = 2*l. Suppose 3 = -a - 13. Let v = 11 + a. Put v, 1, l in increasing order.
v, 1, l
Let y be ((-1)/4)/((-10)/8). Let l(x) = x**3 - 22*x**2 + x - 22. Let s be l(22). Sort s, y, 2.
s, y, 2
Let r = 0.16 + -0.15. Let w = -0.19 - r. Let q = 0 - -2. Sort 3, q, w in decreasing order.
3, q, w
Let j be (-2)/6 + 10/24. Let h = -2246 - -2243. Sort 0.1, h, j.
h, j, 0.1
Let n = 53 + -29. Suppose 4 = 4*t - 3*g, -5*g = t + t + n. Let b(x) = -x + 4. Let m be b(0). Sort -6, m, t in ascending order.
-6, t, m
Let q be ((-8)/(-44))/((-2)/(-22)). Put -2, q, 62 in increasing order.
-2, q, 62
Let o = -12 + 5. Let u be 3/1 + -3 - 9. Let y(d) = d**2 + 8*d - 7. Let n be y(u). Put n, 0, o in descending order.
n, 0, o
Let u = -2.56 + 2.56. Put -1/8, u, 5, -1.21 in ascending order.
-1.21, -1/8, u, 5
Let t = 153.3 + -151. Sort t, -2, 1.
-2, 1, t
Suppose -5*i + 20 = 0, -4*a - i - 2*i = 328. Sort -1, a, 1 in decreasing order.
1, -1, a
Let t = -1056 - -1034. Sort t, -3, 4, 0.
t, -3, 0, 4
Suppose 8*z - 3*z = 60. Let g be -2 + 2/(1 + -3). Let u = -747 + 747. Sort g, u, z.
g, u, z
Let m(c) = c**3 - 5*c**2 + c - 7. Let v be m(5). Suppose -4*n = -g - 1 + 5, 5*g + 14 = 3*n. Let a(s) = 3*s - 12. Let y be a(4). Put y, g, v in ascending order.
g, v, y
Let r be -7 + (-168)/(-8) + -9. Sort 4/3, 1, r, 2 in increasing order.
1, 4/3, 2, r
Let m = 668 + -668. Sort m, 2, 4 in descending order.
4, 2, m
Let c(j) = 220*j + 1322. Let w be c(-6). Let r = 0 - -4. Suppose 4*y = 4*s, 13 - 49 = 5*y + r*s. Put w, -2, y in descending order.
w, -2, y
Suppose 9*a + 187 = 16. Let s = a - -16. Sort 13, s, 3.
s, 3, 13
Let b(p) = -p**3 - 12*p**2 - 12*p - 8. Let v be b(-11). Let r(g) = 22*g - 63. Let x be r(v). Let z = 0 - -0.3. Sort z, x, -3/2 in decreasing order.
x, z, -3/2
Suppose -x + 4*c = -8, -x - 3*c = 3*x + 6. Let s = 45.2 + -4.2. Let u = 42 - s. Put 0.4, u, x in ascending order.
x, 0.4, u
Let m = 4.874 - -0.126. Sort 3, m, 0.5, 0.26 in increasing order.
0.26, 0.5, 3, m
Let k be (-20)/((4/(-6))/(32/(-24))). Sort k, -2, -4, 0.
k, -4, -2, 0
Let s = -43.9399 + -0.0601. Sort s, -2, -0.1.
s, -2, -0.1
Let h = 0.005 + -1.005. Put -0.5, -129, h in descending order.
-0.5, h, -129
Let h = 0 + 0.07. Let t = 0.90512 - -0.09488. Put h, t, 5 in increasing order.
h, t, 5
Let r be (-656)/(-8856)*(9/4)/1. Put r, -6, -17, 4/3 in decreasing order.
4/3, r, -6, -17
Let x(a) = 2*a**3 + 5*a**2 - 2*a - 6. Let t be 6/(-4)*(-36)/(-27). Let o be x(t). Let s = 1 + -0.5. Sort s, o, 8.
s, o, 8
Let y = -10.5 - -1.9. Let c = -8.8 - y. Sort -2, -0.5, c in descending order.
c, -0.5, -2
Suppose -4*t - 2377 = -2369. Let s = -12 - -17. Suppose -s*p - r + 0*r = -5, 4*r + 20 = 0. Sort p, t, -1 in descending order.
p, -1, t
Let k(c) = -3*c**3 - 4*c**2 + 9*c + 23. Let t be k(-3). Sort 4, 1, t, -0.5.
-0.5, 1, 4, t
Suppose 16*s + 7 = 23*s. Put 8, 2, s in increasing order.
s, 2, 8
Let z be (-42)/33 + (-51)/(-187). Sort z, 15, -3, 5 in descending order.
15, 5, z, -3
Let p = -29.1 - -29. Let y = -2.1 + 2.1. Sort -0.2, p, y in ascending order.
-0.2, p, y
Let v be 364/98 + 2/7. Let d be (8/(-8))/(0 + (2 - 3)). Put 0, v, -5, d in descending order.
v, d, 0, -5
Suppose -8*z + 32 - 8 = 0. Suppose s = -z*h + 16, 5*h = -s - 0*s + 26. Put 4, 6, s in increasing order.
s, 4, 6
Let c = -3.5 + 0. Let p = c - -10.5. Let x = 6 - p. Sort -4, -2, x.
-4, -2, x
Let k = 20 + -21. Let j be (0 - 1)/k*(-4)/(-16). Put 2, -5, j in decreasing order.
2, j, -5
Let d(y) = -y + 15. Let l be d(16). Put 1, -54, l in descending order.
1, l, -54
Suppose -5*q - 10 + 58 = -3*j, 4*q - 3*j - 39 = 0. Put q, -5, -1 in descending order.
q, -1, -5
Let v = 255 - 258. Sort v, 4, -14 in increasing order.
-14, v, 4
Let g(n) = 40*n - 69. Let m be g(2). Put -4, m, 0, 3 in increasing order.
-4, 0, 3, m
Let r = -0.529 - -0.509. Sort -3/8, r, 0.08.
-3/8, r, 0.08
Let s(t) be the second derivative of t**4/12 + 21*t**2/2 - 5*t. Let i be s(0). Let n be (-2)/(-28) + 9/i. Sort -4, n, 3/8 in decreasing order.
n, 3/8, -4
Let l = 24 - 22. Let d be l + -1 - (-24)/(-32). Sort 3, d, -0.5.
-0.5, d, 3
Let y = 54 + -217/4. Let g = -51.85 - -48. Let l = g + -0.15. Sort 3, l, y in decreasing order.
3, y, l
Suppose 5 - 25 = -20*g. Let q = -11 + 6. Put 4, g, q in descending order.
4, g, q
Suppose -4*s - 326 + 326 = 0. Put 6, 2, s in increasing order.
s, 2, 6
Let k(t) = -t**2 + t + 1. Let v be k(-1). Put 4, v, 1, 159 in increasing order.
v, 1, 4, 159
Suppose 0 = 11*z - 10*z - 8. Put z, 0, 2/9, 2 in increasing order.
0, 2/9, 2, z
Let y be -2 - (-128)/18 - (8 + -3). Sort 0.5, y, -14, 2.
-14, y, 0.5, 2
Let h = 0 - -0.4. Let z = -56.2 + 70. Let l = 14 - z. Put h, -0.06, l in decreasing order.
h, l, -0.06
Suppose 0 = 2*z + 4*b, -b + 21 = 5*z + 2*b. Let m = z + -4. Let h(o) = -793*o + 6342. Let i be h(8). Sort m, i, 1.
i, 1, m
Let o be (-232)/(-48) - 2/(-12). Let x(f) = -6*f**2 + 0 + 1 - 4 - f**3 + o - 2*f. Let p be x(-2). Put p, 1, 0 in descending order.
1, 0, p
Let w = 15.656 + 0.144. Let b = w - 0.8. Let d = b - 12. Put -3, 5, d in descending order.
5, d, -3
Let h(v) = 11*v**2 + 1. Let k be h(1). Put 1, -1, 3, k in descending order.
k, 3, 1, -1
Suppose q = 3*s + 13 + 2, -5*q = 15. Let v be (-8)/24*-12*6/(-24). Sort v, -5, s.
s, -5, v
Suppose -5*f + 26 + 19 = -4*j, -j - 18 = -2*f. Sort f, 7, -3 in increasing order.
-3, 7, f
Let r be 3/(27/(-12))*-3. Suppose -35 = 14*y + 7. Sort 2, r, -4, y.
-4, y, 2, r
Let k(s) = s**2 - 15*s - 1. Let m = 3 - -10. Let j be k(m). Let b be ((-72)/j)/((-4)/6). Sort 11, b, 4 in descending order.
11, 4, b
Let c(z) = z**2 + 5*z - 2. Suppose -5*l - 22 = 8. Let x be c(l). Sort x, -2, -5 in decreasing order.
x, -2, -5
Let k be 8/28 - 12/(-7). Suppose -k*p + 10 = -4*p. Let o(s) = s**3 - 4*s**2 + 4*s - 2. Let a be o(2). Put -0.1, a, p in increasing order.
p, a, -0.1
Let o = 232 + -231. Put -5, o, -1 in decreasing order.
o, -1, -5
Let m(x) = x**3 + 6*x**2 + 3*x + 4. Let c be m(-5). Let h be 4/(-30) - c/(-30). Put -18, 4, h, 0.3 in decreasing order.
4, h, 0.3, -18
Suppose -4*w - 84 = -2*j, 4*j - 111 = 5*w - 0*w. Sort -0.3, w, 4, -4/3 in descending order.
4, -0.3, -4/3, w
Let h be 20/35 - -2*(-15)/(-21). Sort h, -7, 5, -2 in increasing order.
-7, -2, h, 5
Let a be ((-3)/12)/(13/4). Let i = a + -23/39. Sort 3, i, 1/7, 0.2 in descending order.
3, 0.2, 1/7, i
Let y be (-4)/6 + (-2)/(-3). Suppose 5*r - 13 = -2*t - 2*t, 5*t + 3*r - 13 = 0. Let z be (138/(-52) - (-48)/312)*2. Sort t, y, z.
z, y, t
Let c be 5/(315/(-24))*33/(-44). Let v = -26 + 22. Sort -1, v, c, 0.4.
v, -1, c, 0.4
Let n = -16.5 - -16. Let h = 0.32 + -0.3. Put n, h, -0.2 in decreasing order.
h, -0.2, n
Let t(j) = 9*j + 91. Let k be t(-12). Sort k, 0, -4 in increasing order.
k, -4, 0
Let y = 8849/4 - 2212. Let v be 0 + (1 - 2) + 2. Sort y, v, -2, 6 in decreasing order.
6, v, y, -2
Suppose h + 4 = -1. Let y(j) = 12*j + 98. Let x be y(-8). Sort 5, x, h in decreasing order.
5, x, h
Suppose 6*k - 42 - 12 = 0. Put -4, k, 3 in ascending order.
-4, 3, k
Let c be -1 + 4 + 20*(-5)/(-10). Sort c, 3, -3 in descending order.
c, 3, -3
Suppose -19*p - 35 = -24*p. Let j(k) = k**2 - 5*k - 14. Let u be j(p). Let w = 7 - 5. Put 1, u, w in increasing order.
u, 1, w
Let b = -5 - -3. Let a = 0.532 + -0.632. Sort -3/4, b, a, 5 in decreasing order.
5, a, -3/4, b
Let u = -3/1
|
{
"pile_set_name": "DM Mathematics"
}
|
fferentiate 2*f**2*s**2 - 4*f**2 + 1189*f*s**2 - 14*f - 34 wrt s.
4*f**2*s + 2378*f*s
Differentiate -2*i**3 - 402*i**2*w**3 - 51*w**3 - 13*w with respect to i.
-6*i**2 - 804*i*w**3
Find the first derivative of -7101*i**2 + 17862 wrt i.
-14202*i
Find the second derivative of -18*b**3 - 2*b**2 + 2*b + 30 wrt b.
-108*b - 4
Find the third derivative of h**4 + 127*h**3 - 156*h**2 - h.
24*h + 762
Find the second derivative of 7*g**5 - 92*g**4 + 1574*g.
140*g**3 - 1104*g**2
Find the third derivative of n**6 - 2371*n**3 - 3*n**2 + 120*n - 3.
120*n**3 - 14226
What is the second derivative of 317*k**4 + 50*k?
3804*k**2
What is the second derivative of 29*j**2*k**2 - 51*j**2*k wrt k?
58*j**2
Find the second derivative of 396*g**2*s*x + g**2*x + 9*g + 3*s - 7*x wrt g.
792*s*x + 2*x
What is the second derivative of 161*m**2 - 2*m - 40 wrt m?
322
What is the first derivative of -428*g + 533 wrt g?
-428
Find the second derivative of 3227*v**2 - 5*v + 52 wrt v.
6454
What is the third derivative of 101*f**4*v**2 + 2*f**4 + 10*f**2*v**2 - 3*v**2 wrt f?
2424*f*v**2 + 48*f
Differentiate -d**2*f - 186*d**2*x - 2*d**2 + 2*d*f*x + f - 251*x wrt d.
-2*d*f - 372*d*x - 4*d + 2*f*x
What is the second derivative of 2*d*m**3 + 4*d*m**2 + 12*d*m - 2*d + 31*m**2 + 9 wrt m?
12*d*m + 8*d + 62
What is the third derivative of 8*d**2*f**4 - d**2*f**2 + 123*d**2 + d*f**5 wrt f?
192*d**2*f + 60*d*f**2
Find the first derivative of 275*m**2 - 6*m + 6377.
550*m - 6
Find the first derivative of -2*i**3 - 257*i + 1294.
-6*i**2 - 257
What is the second derivative of -253*p**3 - 94*p + 2?
-1518*p
What is the third derivative of -51*r*t**5 + 747*r + 6*t**4 - t**2 wrt t?
-3060*r*t**2 + 144*t
Find the third derivative of -42*n**6 - n**4 + n**2 - 6*n.
-5040*n**3 - 24*n
Find the third derivative of 3*j**5 - 91*j**4 - 4*j**2 - 201*j wrt j.
180*j**2 - 2184*j
Differentiate -4*h*o**3*y**2 - 3*h*o**2*y - 3*h*o**2 + 3*h*y**2 + 3*h + 2*o**3 + 3 wrt y.
-8*h*o**3*y - 3*h*o**2 + 6*h*y
What is the second derivative of 13752*k**2 + 7713*k wrt k?
27504
Find the third derivative of 6*w**5 - 2*w**4 - 158*w**3 - 20818*w**2 wrt w.
360*w**2 - 48*w - 948
Find the second derivative of -12*u**5 + 21*u**4 - 10*u**2 + 4803*u - 2 wrt u.
-240*u**3 + 252*u**2 - 20
Differentiate -2*h**3*s**2 - 7*h**3 + 203*s**2 with respect to h.
-6*h**2*s**2 - 21*h**2
Find the second derivative of 1844*f**2*o**3 + 624*f*o**2 - 2*f*o - 2*o**3 wrt f.
3688*o**3
What is the second derivative of -2*x**4 + 4947*x**3 - 6730*x wrt x?
-24*x**2 + 29682*x
Find the second derivative of a**5 + 37*a**4*c + a**2*c + 2*a*c + a wrt a.
20*a**3 + 444*a**2*c + 2*c
What is the first derivative of 660*l**2*r**2 - 9*r**2 - 40 wrt l?
1320*l*r**2
Differentiate 1671*p**2 + 27241 with respect to p.
3342*p
What is the first derivative of 1949*d**3 + 5610?
5847*d**2
What is the derivative of -r**3*s - 99*r**3 - 3*r**2 + 217*s wrt s?
-r**3 + 217
What is the third derivative of t*y**3 - 18*t*y**2 - 7*t*y + 34*y**3 wrt y?
6*t + 204
What is the second derivative of -11318*r**4 - 4271*r?
-135816*r**2
Find the first derivative of -y**3 + 56*y**2 + 2*y - 780.
-3*y**2 + 112*y + 2
What is the derivative of -3305*g**3*s - 29*s + 5 wrt g?
-9915*g**2*s
What is the third derivative of 2*d*o**3*r**2 - d*o*r**3 + 2*d*r + 2*o**3*r**3 - o**3*r**2 + 2*o**2*r + 7*r**3 wrt r?
-6*d*o + 12*o**3 + 42
What is the third derivative of 46*g**3*n**3*z - 28*g**3*n**3 + 71*g**3*n**2*z + 3*g**3*n*z - g**3*z - 2*g**2*n*z wrt n?
276*g**3*z - 168*g**3
What is the third derivative of 5*t**6*u + 8*t**4*u**2 - 2*t**2*u**2 + 12*t*u**2 + 7*u**2 wrt t?
600*t**3*u + 192*t*u**2
Find the second derivative of 201*p**5 + 3*p**4 - 4*p**3 - 6974*p.
4020*p**3 + 36*p**2 - 24*p
Differentiate 23*u**2*w + 1708*u**2 - 59*u*w with respect to w.
23*u**2 - 59*u
What is the third derivative of 19*n*u**5 - 18*n*u**3 - 52*n*u**2 - 6*n*u - 2*u wrt u?
1140*n*u**2 - 108*n
Differentiate -400*o**3 - 761 wrt o.
-1200*o**2
Find the second derivative of d**3*g**2*x - 174*d**3*g + 44*d*g**2*x + 5*d*g**2 - 19*d*x wrt g.
2*d**3*x + 88*d*x + 10*d
What is the derivative of -73*t**2*y**2 - 8*t**2 + 4*t*y**2 - 10 wrt y?
-146*t**2*y + 8*t*y
Differentiate -4258*f**3*j**2 + j**2 + j + 71 wrt f.
-12774*f**2*j**2
What is the first derivative of -455*r**4 - 1077?
-1820*r**3
What is the second derivative of -2*m**3 - 232*m**2 + 257*m?
-12*m - 464
What is the derivative of 8*a**3*y + 3*a**2 + a*n*y + a*y + 2*n*y - 33*y + 2 wrt a?
24*a**2*y + 6*a + n*y + y
What is the third derivative of 6*d**2*z**6 - 69*d**2*z**4 - 93*d**2*z**2 + 3*d**2 + 2*z**2 wrt z?
720*d**2*z**3 - 1656*d**2*z
Differentiate 6306*k**3*t**2 + 18*k**3 + k**2 - 60*k with respect to t.
12612*k**3*t
Find the third derivative of n**5 + 307*n**3 + 481*n**2 wrt n.
60*n**2 + 1842
Find the third derivative of -85*v**4 - v**2 - 18.
-2040*v
What is the derivative of -872*i**2 + 165?
-1744*i
Differentiate 1072*f**2*h + f**2 - 9*f*h + 97*f - 41 with respect to h.
1072*f**2 - 9*f
What is the second derivative of -184*r**2 - 13*r - 4?
-368
What is the derivative of 2281*f**3 + 2817?
6843*f**2
What is the second derivative of 2*u**5 - 373*u**4 + 957*u wrt u?
40*u**3 - 4476*u**2
What is the second derivative of 258*x**2 - 152*x wrt x?
516
What is the second derivative of -1142*x**2*y**2 - 3*x**2*y - 13*x + y**2 + 6*y - 3 wrt x?
-2284*y**2 - 6*y
What is the third derivative of 5*m**3*p**3 - 8*m**3 + 34*m**2*p**3 - 2*m*p**2 + 20*m*p wrt p?
30*m**3 + 204*m**2
What is the second derivative of 3091*q**5 + 129*q wrt q?
61820*q**3
Find the third derivative of 3255*l**4 - 7003*l**2 wrt l.
78120*l
What is the second derivative of -976*x**3 - x**2 + 3372*x?
-5856*x - 2
Find the third derivative of -99*j*m**3 + 14*j*m**2 + 3 wrt m.
-594*j
Find the third derivative of n**6*r - 197*n**3*r - 5*n**3 + 6*n**2*r - 2*n**2 + 2*n*r + 20*n wrt n.
120*n**3*r - 1182*r - 30
Find the third derivative of 10*t**3 + 59*t**2 wrt t.
60
What is the third derivative of -17*i**4*q**2 - 19*i**4 + 5*i**2*q**2 + 16*i**2*q wrt i?
-408*i*q**2 - 456*i
Find the third derivative of -3573*q**3*t**2 - q**3*t + 2*q**2*t + 2*q**2 - 10*q - 20*t**2 wrt q.
-21438*t**2 - 6*t
Find the first derivative of -3*q**4 + 558*q**2 + 2144 wrt q.
-12*q**3 + 1116*q
Find the second derivative of -5*c**2*j**3 - 6*c**2*j**2*m**2 + c*j**3*m**2 + 3*c*j**2 - 3*j**3*m**2 + 4*m wrt c.
-10*j**3 - 12*j**2*m**2
Find the second derivative of 2*h*r**2*y**2 + 125*h*r*y**2 + h - 595*r**2*y**2 + 2*r**2*y - 3*r*y**2 - 2*r*y + 1 wrt r.
4*h*y**2 - 1190*y**2 + 4*y
Find the second derivative of -w**3 - 8725*w**2 - 558*w + 12.
-6*w - 17450
Find the third derivative of -1455*o**4 + o**2 - 59*o - 2.
-34920*o
Find the second derivative of 2167*b*m**3 - 13*b*m + m**3 - 167*m wrt m.
13002*b*m + 6*m
What is the second derivative of -520*y**2 - 770*y?
-1040
What is the third derivative of 11*f*j**2*t*z**3 - 2*f*j**2*t + f*j*t*z**3 - 11*f*z**3 + 3*j**2*t*z**2 - j**2*t*z - 3*j**2*z - 14*t*z**2 wrt z?
66*f*j**2*t + 6*f*j*t - 66*f
Find the second derivative of 2*j**3 - 525*j**2 + 22*j + 39 wrt j.
12*j - 1050
What is the third derivative of -3263*l**3 - 4365*l**2 wrt l?
-19578
Differentiate -a*f**2 + 2*a + f**2 - 41*f - 275 with respect to f.
-2*a*f + 2*f - 41
Differentiate 2*a*i*s + 12*a*s + a + 4*i*s + i + 2*s wrt i.
2*a*s + 4*s + 1
Find the second derivative of -593*c**5 + 260*c - 7.
-11860*c**3
What is the second derivative of 121*c**2*h*r**2*v + 5*c**2*h*r*v**2 - 6*c*h*r*v**2 - c*h*r - 39*c*r**2*v - h*r*v**2 + 2*v wrt c?
242*h*r**2*v + 10*h*r*v**2
Find the third derivative of 2*n**3*t**2 + 15*n**3*w**3 - 2*n**3 + 2*n**2*t**2*w**3 + 14*n**2*t**2*w - w**2 wrt w.
90*n**3 + 12*n**2*t**2
Find the second derivative of -6*t**5 + 788*t**2 + 4429*t wrt t.
-120*t**3 + 1576
Find the second derivative of -2*q**2*r**2*x + 215*q**2*r*x**3 + 3*q**2*x - 16*q*r**2*x + 4*q*r*x**3 + 33*r**2*x**3 wrt r.
-4*q**2*x - 32*q*x + 66*x**3
What is the derivative of -i*w**3 + 8*i*w**2 + 14*i + 6*w**4 - 4 wrt w?
-3*i*w**2 + 16*i*w + 24*w**3
What is the second derivative of 85*c**3*z + 5*c**3 + 2*c*z - 5*c + 42*z wrt c?
510*c*z + 30*c
What is the second derivative of 785*d**2*g**3 + 12*d*g**3 - 9*g**3 wrt d?
1570*g**3
Find the second derivative of 444*c**4 - 3*c**3 + 5200*c.
5328*c**2 - 18*c
What is the se
|
{
"pile_set_name": "DM Mathematics"
}
|
to seven decimal places?
-0.0000025
Let r = 120.9999999 - 121. What is r rounded to six dps?
0
Let c = 13 + -9. Let k(x) = 3 - 7 - 5*x + 2*x + 0 + 189063*x**3 - x**2. Let t be k(c). What is t rounded to the nearest one million?
12000000
Let o = 131.16 - 132. Round o to 1 dp.
-0.8
Let p = -599997.032 + 599921.2292726. Let b = -21.802722 - p. Let q = b + -54. What is q rounded to 6 decimal places?
0.000005
Let p be (10/4)/((-7)/(-14)). Let i be p/15*3 - -352362. Suppose 0 = 2*h + i - 12363. What is h rounded to the nearest 10000?
-170000
Let d = -14.75 - -107.65. Let f = d + -90.433. Let y = f - 2.67. Round y to 2 decimal places.
-0.2
Let v = 249655 + -249657.34179. Let o = v + 2.34. Round o to 4 decimal places.
-0.0018
Let m = 9.8 - 31.2. Let z = m + 9.6. Round z to the nearest ten.
-10
Let u = -227.0396 + 227. Let r = 0.07 - u. What is r rounded to 2 dps?
0.11
Let k = 0.124067 + -0.1183. Round k to 4 dps.
0.0058
Let r = 127 + -126.676. Let d = -104.4 + 104. Let i = r + d. Round i to two decimal places.
-0.08
Let c(d) = 43*d**2 - 8*d - 9. Let y(m) = m - 2. Let s(i) = c(i) - 2*y(i). Let q be s(-15). What is q rounded to the nearest 1000?
10000
Let s = -4.71 + 4.4246. Let c = s - -0.28. What is c rounded to 4 dps?
-0.0054
Let o = -2345 - -1079. Let n = o + 1289.16. Let j = 1.56 - n. What is j rounded to the nearest integer?
-22
Let b = 415 + -415.0000779. What is b rounded to five decimal places?
-0.00008
Let s be ((-26)/91)/(1/7*-1). Let n be ((s - (2 + 2)) + -15)*16. Round n to the nearest 10.
-270
Let m = -743.59819 + 743.7. Let u = 0.101 - m. Round u to four decimal places.
-0.0008
Let b = -5487032 - -2974032. What is b rounded to the nearest 100000?
-2500000
Let p = -40.9 + 40.89999615. Round p to six dps.
-0.000004
Let u = -602 + 602.0000249. What is u rounded to six dps?
0.000025
Let l = -23.7 + 30. Let v = l - 6.281. Round v to two decimal places.
0.02
Let s = 2.08 - 104.08. Let a = s + 102.059. Round a to two dps.
0.06
Let s = 4.7 - 0.2. Let h = s + -4.5272. What is h rounded to two decimal places?
-0.03
Let k = -163.2 - -14. Let h = k - -138. Round h to the nearest integer.
-11
Suppose -k = -3*u + 1097100 - 217094, -5*u + 10 = 0. Round k to the nearest ten thousand.
-880000
Let h = -2.53105 + -130.47785. Let v = -237 + 104. Let o = v - h. Round o to 3 dps.
0.009
Let h = -37 + 3. Let g = -34.062 - h. What is g rounded to 2 dps?
-0.06
Let g = 15.48 - 15.6642. What is g rounded to 2 decimal places?
-0.18
Let r = 607.747 - 608. Round r to 2 decimal places.
-0.25
Suppose 5*o = 3*o + 10. Suppose -5*y + 140 = o*u, 0*u = 5*u - 4*y - 158. What is u rounded to the nearest 100?
0
Let c = 2.1 + -2.71. Let d = c + 0.60967. Round d to 4 dps.
-0.0003
Let q = -92 + 101. Let k be 1 + -5 - ((-22305)/(-1) - q). Round k to the nearest ten thousand.
-20000
Let k(j) = -7310001*j**3 - 2*j**2 - j. Let b be 9/(-18) + (-2)/4. Let i be k(b). What is i rounded to the nearest 1000000?
7000000
Let j = 164 + -163.99999743. What is j rounded to six decimal places?
0.000003
Let p = 242157302138912665.9 - 242157313069445230.89999953. Let x = p - -10930532521. Let s = x - -44. Round s to seven decimal places.
0.0000005
Let o = -0.065701529 - -0.0657. What is o rounded to six decimal places?
-0.000002
Let l = 24 + -21. Suppose l*g - 12299996 = y, -4099980 = -0*g - g + 5*y. What is g rounded to the nearest 1000000?
4000000
Let z = -388 - -388.00576. Round z to 3 dps.
0.006
Let z = 388.727 - -0.073. Let x = z + -328. Round x to the nearest ten.
60
Suppose w - 2*w + 2 = 0. Suppose -5*x + x + 14 = m, -3*m = -2*x. Suppose -w*u + 51499990 = 5*t, -5*t + 3*u = -m*t - 30900015. Round t to the nearest 1000000.
10000000
Let l = -2698 - -3079.2. Round l to the nearest 10.
380
Let s = 34.9 - 34.3749. Let w = 0.02 - 0.54. Let m = w + s. Round m to three dps.
0.005
Let y = 283 - 282.999728. Round y to 5 decimal places.
0.00027
Let n = 11.700000095 + -11.7. What is n rounded to seven decimal places?
0.0000001
Let s(o) = -79*o**3 - 5*o**2 + 10*o + 15. Let v be s(-6). Let w = 77083 - 233922. Let r = v + w. Round r to the nearest 100000.
-100000
Let p = -0.210212 - 1.490158. Let m = -24 + 25.7. Let c = m + p. What is c rounded to four decimal places?
-0.0004
Let x = -3.4885 - 0.1695. Let n = x + -0.042. Let p = -3.69999958 - n. Round p to seven decimal places.
0.0000004
Let b = -20 - -15. Let d be (2/(-10))/(1/b). Let r be (d + -51)/(1/600). Round r to the nearest one hundred thousand.
0
Let o = -678 - -266. Let l = 412.00000621 + o. Round l to 6 dps.
0.000006
Let h = 144 + -221. Let b = h + 77.00205. Round b to four decimal places.
0.0021
Let p = -1264 + 711. Let v = 552.999663 + p. What is v rounded to 5 dps?
-0.00034
Suppose 0 = -83*p - 254507 + 1192407. Round p to the nearest 100.
11300
Let n = -13.8 - -12. Let r = n - -12.8. Let l = -11.0000003 + r. Round l to 7 decimal places.
-0.0000003
Let o = 0.723 - 0.72298754. What is o rounded to six dps?
0.000012
Let l(o) = -2*o**3 + 2*o**2 + o. Let q be l(-1). Suppose -v = 2*v - 6, 2*r = -q*v + 12. Suppose -r*j + j = -11400. Round j to the nearest 1000.
6000
Let y = 34180 + 5147. Let u = -20425 + y. Let n be 4/18 - u/9. Round n to the nearest one thousand.
-2000
Let a = -109.57 + -33.13. Let q = -0.111 + 149.111. Let f = q + a. What is f rounded to 0 decimal places?
6
Let p = 16.006 + -16. Let j = p - -0.017. Let q = 0.165 - j. What is q rounded to two dps?
0.14
Let l(d) = -860*d. Let o be (-2 + 4)/((-4)/(-2)). Let q be 126/27 - o/(-3). Let r be l(q). What is r rounded to the nearest 1000?
-4000
Let t be 83545/98*((44 - 2) + -2). Round t to the nearest ten thousand.
30000
Let w = -3822.002209 + 3822. What is w rounded to 4 dps?
-0.0022
Let a = 4140.9 - 3936. What is a rounded to the nearest ten?
200
Let x = -111429850614.45 - -111418325487.450058. Let n = -11525139 - x. Let d = -12 - n. What is d rounded to 5 decimal places?
0.00006
Let k = -102.8 + 80.46. Let l = 22 + k. Let z = 0.353 + l. What is z rounded to two decimal places?
0.01
Let w = -16.31 - 149.39. What is w rounded to the nearest ten?
-170
Let u = -151 - -151.1. Let o = -133 - -132.9008. Let b = u + o. What is b rounded to 4 dps?
0.0008
Suppose 4*z - 209339 = -u - 0*z, -2*z = -10. Let x = 352681 + u. Round x to the nearest 100000.
600000
Let s = -60 - -17. Let g = 42.99999917 + s. Round g to seven dps.
-0.0000008
Let c = 139.279 - 0.279. Let k = c - 169.5. Round k to the nearest integer.
-31
Let w = -0.1 - -3.1. Let y = -21890 + 21887.00025. Let l = w + y. Round l to 4 dps.
0.0003
Let d be (-72058)/(-21) + 4/6. Let o = 3 + 0. Suppose -2*x - 2276 = -j, 2*x + o*j = -x - d. Round x to the nearest one hundred.
-1100
Let n(u) = 2*u - 2*u - u**2 + 2*u**2 - 46842 - u. Let g be n(0). Let a = g + 31842. What is a rounded to the nearest 10000?
-20000
Let b = -5749.179 - -5699.1. Let t = -50 - b. What is t rounded to 1 dp?
0.1
Let h = -350.9999302 - -351. Round h to six dps.
0.00007
Let o = -114 - -251. Let r = -192 + o. Let u = -62.4 - r. Round u to the nearest integer.
-7
Let f = 1527.079287719 - 1526.376078. Let v = f - -23.296790101. Let x = -24 + v. What is x rounded to 7 decimal places?
-0.0000002
Let y = -36.009 - -36. Let r = 0.014 - y. What is r rounded to 2 decimal places?
0.02
Let l = 23.707 + -24.1. Let w = -7.053 - l. Let p = w + -1.64. Round p to the nearest integer.
-8
Suppose -5*v + 27 = b, 0*v - 4*b = 2*v. Let c be 2*2 + 799990 + v. What is c rounded to the nearest one hundred thousand?
800000
Let b(s) = -s**3 - s**2. Let l(d) = 3*d**3 + 31*d**2 + 4*d - 32. Let j(z) = -2*b(z) - l(z). Let n be j(-13). Round n to the nearest 100.
-2600
Let g(y) = -7002532*y - 128. Let t be g(-4). What is t rounded to the nearest 1000000?
28000000
Let p = -19.07491 + 19.08. What is p rounded to three dps?
0.005
Suppose 2*g - 9760000 = -2*g. Suppose -7*c + 8*c = g. Round c to the nearest one hundred thousand.
2400000
Let j = -0.6576 + 0.5. Let v = j - -119.8576. What is v rounded to the nearest 10?
120
Suppose 23*v + 5 = 18*v. Let l be v/2*-2 - (-2 - 3647). Round l to the nearest one thousand.
4000
Let c(z) = -z**3 - 9*z**2 + 9*z - 10. Let n be c(-10). Suppose 12*j - 10*j - 304000 = n. Round j to the nearest 10000.
150000
Suppose -5*a + 2*a + 16125 = -2*n, -3*n - 24200 = -2*a. What is n ro
|
{
"pile_set_name": "DM Mathematics"
}
|
tor of 132 and 220.
44
What is the highest common factor of 48 and 60?
12
Calculate the highest common divisor of 732 and 1952.
244
Calculate the highest common factor of 23187 and 531.
177
Calculate the greatest common factor of 28 and 1708.
28
What is the greatest common divisor of 1 and 132?
1
Calculate the greatest common factor of 5348 and 56.
28
What is the highest common factor of 20 and 100?
20
What is the highest common divisor of 5461 and 43?
43
Calculate the greatest common factor of 330 and 60.
30
What is the highest common divisor of 6894 and 72?
18
Calculate the highest common factor of 493 and 391.
17
Calculate the highest common factor of 57 and 7087.
19
Calculate the highest common factor of 432 and 32.
16
Calculate the greatest common divisor of 4 and 2.
2
What is the greatest common divisor of 2588 and 4?
4
What is the greatest common divisor of 616 and 6424?
88
Calculate the highest common divisor of 2520 and 70.
70
What is the greatest common factor of 53 and 4?
1
Calculate the highest common factor of 23400 and 26.
26
Calculate the greatest common factor of 9400 and 200.
200
What is the highest common divisor of 11 and 12727?
11
Calculate the highest common divisor of 366 and 2.
2
What is the greatest common factor of 336 and 384?
48
Calculate the highest common divisor of 24 and 156.
12
What is the greatest common factor of 1265 and 1035?
115
What is the highest common factor of 645 and 258?
129
What is the highest common divisor of 3 and 3?
3
What is the highest common factor of 8277 and 465?
93
What is the greatest common divisor of 3 and 51?
3
Calculate the highest common divisor of 207 and 9.
9
Calculate the greatest common factor of 70280 and 280.
280
What is the highest common factor of 8 and 568?
8
Calculate the highest common factor of 279 and 36.
9
What is the highest common divisor of 123 and 1025?
41
What is the greatest common divisor of 5 and 11035?
5
Calculate the highest common divisor of 40 and 39600.
40
What is the greatest common divisor of 136 and 8840?
136
Calculate the highest common divisor of 169 and 39.
13
Calculate the highest common factor of 972 and 36.
36
Calculate the highest common factor of 950 and 25.
25
Calculate the highest common divisor of 858 and 66.
66
Calculate the greatest common divisor of 21586 and 86.
86
What is the greatest common factor of 2332 and 636?
212
What is the greatest common factor of 90 and 216?
18
Calculate the highest common factor of 100 and 1350.
50
What is the highest common divisor of 531 and 63?
9
What is the greatest common factor of 216 and 8?
8
Calculate the highest common factor of 6 and 256.
2
What is the greatest common factor of 3680 and 1288?
184
Calculate the highest common divisor of 132 and 94.
2
Calculate the highest common factor of 2190 and 1470.
30
Calculate the highest common divisor of 9 and 150.
3
Calculate the highest common divisor of 10 and 610.
10
What is the highest common factor of 8 and 17080?
8
Calculate the greatest common factor of 4 and 2104.
4
Calculate the greatest common divisor of 2910 and 270.
30
What is the greatest common factor of 820 and 55?
5
What is the greatest common divisor of 1005 and 15?
15
What is the greatest common divisor of 49 and 287?
7
What is the highest common divisor of 3224 and 312?
104
Calculate the highest common divisor of 22 and 1551.
11
What is the greatest common factor of 9 and 1287?
9
What is the greatest common divisor of 936 and 91?
13
What is the highest common factor of 100 and 3925?
25
What is the greatest common divisor of 780 and 60?
60
Calculate the highest common factor of 128 and 832.
64
What is the greatest common factor of 3227 and 49?
7
Calculate the highest common divisor of 744 and 5022.
186
Calculate the highest common divisor of 408 and 1479.
51
What is the greatest common divisor of 14394 and 6?
6
What is the highest common factor of 762 and 10414?
254
What is the highest common factor of 16 and 7?
1
Calculate the highest common divisor of 31 and 138.
1
Calculate the greatest common factor of 255 and 3485.
85
What is the highest common factor of 62 and 217?
31
What is the greatest common divisor of 14 and 490?
14
What is the greatest common factor of 240 and 12?
12
Calculate the greatest common divisor of 1472 and 46.
46
Calculate the greatest common divisor of 2562 and 21.
21
What is the highest common factor of 15 and 9?
3
What is the greatest common divisor of 4840 and 352?
88
What is the highest common divisor of 48 and 64?
16
Calculate the highest common factor of 155 and 2511.
31
What is the highest common factor of 4858 and 14?
14
What is the highest common divisor of 28 and 3?
1
Calculate the highest common divisor of 106 and 3127.
53
Calculate the greatest common divisor of 3944 and 408.
136
Calculate the greatest common divisor of 638 and 29.
29
Calculate the greatest common divisor of 182 and 168.
14
What is the highest common divisor of 13 and 416?
13
Calculate the highest common factor of 12545 and 65.
65
Calculate the greatest common factor of 532 and 560.
28
Calculate the highest common divisor of 33332 and 52.
52
Calculate the greatest common divisor of 155 and 5.
5
Calculate the greatest common factor of 460 and 60.
20
What is the highest common divisor of 56 and 2744?
56
What is the highest common divisor of 39 and 247?
13
Calculate the greatest common factor of 7683 and 91.
13
Calculate the highest common divisor of 2620 and 30.
10
Calculate the greatest common factor of 4511 and 13.
13
Calculate the highest common divisor of 516 and 1419.
129
What is the highest common factor of 595 and 35?
35
What is the greatest common divisor of 16 and 17896?
8
What is the greatest common divisor of 240 and 18?
6
What is the greatest common factor of 49 and 49?
49
Calculate the greatest common factor of 414 and 18.
18
What is the greatest common divisor of 12348 and 36?
36
What is the highest common factor of 2004 and 24?
12
Calculate the highest common factor of 92 and 115.
23
What is the greatest common divisor of 84 and 492?
12
What is the highest common factor of 77 and 98?
7
Calculate the highest common factor of 368 and 92.
92
Calculate the highest common divisor of 420 and 45.
15
What is the greatest common divisor of 4551 and 123?
123
Calculate the highest common factor of 8143 and 17.
17
Calculate the highest common divisor of 232 and 783.
29
What is the highest common divisor of 7 and 133?
7
What is the greatest common divisor of 1241 and 73?
73
Calculate the highest common divisor of 120 and 72.
24
Calculate the greatest common factor of 56 and 8744.
8
Calculate the highest common divisor of 121 and 2178.
121
What is the highest common factor of 159 and 212?
53
What is the greatest common divisor of 3510 and 3780?
270
What is the highest common divisor of 207 and 529?
23
Calculate the greatest common divisor of 2046 and 66.
66
What is the greatest common factor of 40 and 14580?
20
What is the highest common divisor of 84 and 21?
21
What is the highest common divisor of 12 and 1356?
12
Calculate the highest common factor of 84 and 12.
12
Calculate the greatest common factor of 41 and 656.
41
Calculate the greatest common factor of 6270 and 495.
165
Calculate the highest common divisor of 930 and 19840.
310
Calculate the greatest common divisor of 31 and 29.
1
What is the greatest common divisor of 174 and 80736?
174
What is the greatest common divisor of 48 and 1712?
16
Calculate the highest common divisor of 88 and 1892.
44
What is the highest common factor of 635 and 889?
127
Calculate the greatest common factor of 140 and 1435.
35
What is the highest common factor of 1 and 56?
1
Calculate the greatest common divisor of 8 and 72.
8
Calculate the highest common divisor of 32 and 368.
16
Calculate the greatest common factor of 1271 and 496.
31
What is the highest common factor of 10 and 55?
5
Calculate the highest common divisor of 2387 and 33.
11
What is the greatest common divisor of 44 and 13112?
44
What is the greatest common factor of 13301 and 849?
283
Calculate the highest common factor of 24 and 588.
12
Calculate the highest common divisor of 407 and 440.
11
What is the greatest common divisor of 12 and 22?
2
Calculate the highest common divisor of 2
|
{
"pile_set_name": "DM Mathematics"
}
|
number?
False
Suppose b - 3495 + 1247 = 0. Suppose 3*n - b = -n + 4*z, -4*z + 1106 = 2*n. Is n prime?
False
Let f(v) = -15*v**3 - 2*v**2 - 4*v - 2. Let z be 2*(-3 - 9/(-2)). Suppose 4*c - 16 = 0, 4*r - z*c = -14 - 10. Is f(r) a prime number?
True
Suppose -5*y - 2908 - 4202 = 0. Let i be (-1*1)/(6/y). Suppose 4*j = j + i. Is j composite?
False
Let y = -310 + 724. Let h = -227 + y. Is h a composite number?
True
Suppose 18839 = 5*x + 2*h, -h + 1205 = x - 2564. Let j be x - (1 - (-3 + 2)). Is 3/(5/(j/9)) a prime number?
True
Suppose -2*q = -t - 0*q - 16, -3*t + 3*q - 33 = 0. Let y(p) be the second derivative of -121*p**3/6 + 13*p**2/2 + 4*p. Is y(t) a prime number?
True
Suppose 2*u - 3*s + 57 + 157 = 0, -359 = 3*u + 5*s. Let d = 678 + u. Is d a prime number?
False
Suppose 271 + 145 = r. Let u be (-6)/5*100/(-40)*209. Let b = u - r. Is b composite?
False
Suppose 0*v - 7 = -v. Suppose 4*n + j + 3 = -v, -2*n + j = 2. Is 1 + n - -6*6 composite?
True
Let f be 36/(-45) + 59547/15. Suppose n = 3*w - 2378, 0 = -5*w - 3*n - n + f. Is w a prime number?
False
Let c(a) = -6*a - 11 + 58*a + 100*a. Is c(3) prime?
False
Let n be (3 - 3 - -425) + -3. Suppose 3*c + 5*h - n = c, 3*c - 607 = -h. Let f = 392 - c. Is f composite?
False
Suppose -2*p - 2*i = 3*p - 105, 2*i = 4*p - 102. Suppose -p + 93 = -x. Let m = 188 + x. Is m a prime number?
False
Let i = 67 - -108. Let c = i - -316. Is c composite?
False
Suppose 0 = 2*j - 4*j + 290. Suppose o + 3*o = 2*v + 24, -o + 15 = -2*v. Is v/3*j/(-2) a prime number?
False
Let v be 5 + (-9)/3 + 66. Is (5 + -1)*8483/v composite?
False
Suppose -3*r + 2*g = -1 - 4, -5*g + 1 = -3*r. Suppose 0 = -r*w - 3*w + 342. Is w a composite number?
True
Let f = 2096 + -1126. Let a(l) = -2*l**2 - 16*l - 1. Let k be a(12). Let v = k + f. Is v a composite number?
True
Let k = -85 + 90. Let r(n) = 68*n + 15. Is r(k) composite?
True
Suppose m - 5*p + 2*p - 33 = 0, -2*m - 4*p = -66. Suppose b - 296 = -m. Is b composite?
False
Let i = -14550 + 30019. Is i a composite number?
True
Let b(o) = 11 - o - 2*o + 37*o**2 - 6 + 8. Is b(-5) a composite number?
False
Suppose 15 = -m - 4*m + 5*n, -5*m + 4*n - 11 = 0. Let v(k) = 256*k**2 + 1. Let u be v(m). Is u - (-1 - (0 - -1)) a composite number?
True
Let y be -10*(4 + 88/(-20)). Let h be 0 + -1 - (0 - y). Suppose i = -u + 208, -182 - 6 = -u + h*i. Is u prime?
False
Let y(x) = 61*x + 36. Let o be -3 + 80/(0 - -5). Is y(o) prime?
True
Suppose -24 = -6*s - 0. Suppose -5*j - 3*k - 315 + 1114 = 0, -s*k - 491 = -3*j. Is j prime?
False
Let h(v) = -63*v - 7. Suppose 5 = -5*s - 0. Let w = -5 + s. Is h(w) prime?
False
Suppose 5*g + 0*g = -20. Let u be -4 + (15 - (-4)/g). Let b = u + -4. Is b composite?
True
Let l = -51 + 53. Suppose -l*r - 3689 = -9*r. Is r a composite number?
True
Suppose -6*r + 34802 + 58000 = 0. Is r prime?
True
Let n be (-249)/(-15) + 15/(-25). Let f = 83 - n. Is f a composite number?
False
Let v = 1147 + -228. Is v a prime number?
True
Suppose -355*n + 624164 = -351*n. Is n a prime number?
True
Let u(j) = -2307*j + 65. Is u(-6) a prime number?
True
Is 8/6 + -33*(-754)/117 composite?
True
Let i(k) = -33*k - 30*k - 12 + 1 - 1. Suppose 0 = w - 43 + 48. Is i(w) composite?
True
Let i be (24/(-36))/((-2)/12). Suppose 0 = s - 3, 3*c + 0*s + 3*s = 2967. Suppose -i*r + 30 = -c. Is r composite?
True
Let g = 1385 + -642. Is g a composite number?
False
Suppose 0 = 5*u - 4*w - 45797, -u - w = 2*u - 27468. Is u a composite number?
False
Suppose 0*z - 2*z - j = 4, 0 = 3*z + 5*j + 20. Suppose -5*r + 2*r - 33 = z. Let p(n) = -n**3 - 11*n**2 - 4*n + 9. Is p(r) prime?
True
Let m = 62285 + -44386. Is m composite?
True
Suppose 38*o = -11413 + 93075. Is o a composite number?
True
Let m(b) = b**3 - 20*b**2 + 13*b - 14. Let u be m(19). Is -3 - (-4 + -4 + u) a prime number?
False
Let g = 57 - -466. Let a = 842 - g. Is a a composite number?
True
Let l = -3780 - -7687. Is l prime?
True
Let z(x) = 3*x + 6. Let h be z(4). Suppose -b - h = 2*b. Is (-2)/b + 1520/12 a prime number?
True
Suppose -2*u = -6, -17*l + 13*l + 2*u = -109798. Is l prime?
False
Suppose 0 = 36*r - 50*r + 38206. Is r prime?
True
Let g(k) = 4*k**2 - k - 2. Let w be g(-1). Suppose -190 = 2*h - w*h. Is h + (2 - (3 + -2)) a prime number?
True
Suppose -3*y - 6 = 0, 5*w - 4*y - 871 - 387 = 0. Is 1 + -5 - w/15*-3 a prime number?
False
Let i(t) = -t**3 - 4*t**2 + t. Let d be i(-4). Let u be 4596/27 - d/(-18). Suppose -14 = 4*s - u. Is s a prime number?
False
Let t be (-10)/(-45) - (-176)/18. Suppose -t = -5*k + 5*i, -8 = 3*k + i + 3*i. Suppose -y + 35 = -k*y + 3*s, -3*y - 3*s = -105. Is y a composite number?
True
Let o(i) be the third derivative of i**5/15 + i**3 + 4*i**2. Let p(y) = -y**2. Let t(r) = -o(r) - 5*p(r). Is t(-5) composite?
False
Let p be (0 + -3)/(37968/12664 - 3). Suppose -4*u = k - p, 0 = -u - 0 - 5. Is k a composite number?
True
Suppose -42 = -68*d + 61*d. Is 5622/(d - 5) - -5 prime?
False
Let b(h) = -h**3 + 0*h**3 + 2*h**2 - h**2 - 2 + h + h**2. Let g be b(1). Suppose -150 = -c + w, c + g*w - 145 = -4*w. Is c a prime number?
True
Is 2/(-2) + 12/6 + 1881 a prime number?
False
Let g = 86 - 82. Is g/1 + 0 + 5151 a prime number?
False
Suppose 4*r - 24 + 12 = 0. Suppose 0 = r*k - 1030 - 1997. Is k prime?
True
Let w(x) = -x**2 + x + 26. Let v be w(6). Is (-60)/(-90)*(-9822)/v a composite number?
False
Suppose z = -21*z + 100826. Is z composite?
False
Let j = 56 - -32. Let f = 0 + 1. Let d = f + j. Is d composite?
False
Let y = -8 + 13. Suppose -3*m - 6 = -2*d + 9, -3*d = -y*m - 25. Is (-65 - 2)*(-1 - d) a composite number?
False
Suppose -29913 = -2*a - u, 2*a - a + u - 14954 = 0. Is a composite?
True
Suppose 6273 = 21*a - 4521. Is a a composite number?
True
Suppose 8*z = 3*z + 350. Suppose 4*l = 5*q + 1506, 0 = l + 3*q - 315 - z. Is l prime?
True
Let n(u) = -126*u**3 - 9*u**2 + 4*u - 2. Is n(-5) composite?
True
Let b be 1/3 + (-184)/12. Let v = b + 15. Suppose v = -2*p - 3*s + 263, -p + 3*s + 17 + 101 = 0. Is p a composite number?
False
Let w = 16135 - 8294. Is w a prime number?
True
Suppose 0 = -7*p + 4*p + 15. Is 3740/50 + (-4)/p composite?
True
Let j = -361 + 2798. Is j a prime number?
True
Let z(p) = -p**3 - 4*p**2 + 5*p + 4. Let h be z(-5). Suppose -3175 = -h*o - o. Let a = o - 342. Is a prime?
True
Let a(i) = i**2 + 12*i + 9. Let v be a(-12). Is (1 - (-1406)/v) + (-6)/27 composite?
False
Let o = -3349 + 6134. Suppose -1114 = -2*n + 5*z, -3*n + 4*z + o = 2*n. Is n composite?
False
Let l(d) = 2*d**2 + 25*d - 23. Let z(n) = n**2 + n - 1. Let i(g) = -l(g) + 5*z(g). Is i(14) composite?
True
Suppose -4*o + 4007 = 5*g + 919, 3*o - 4*g - 2285 = 0. Is o a prime number?
False
Suppose 2*i - 3*i + 186 = 0. Let c = i - 23. Is c a composite number?
False
Let v = -3 - 5. Let y(q) = -2*q - 13. Let z be y(v). Suppose 0*a + 861 = w - 5*a, z*w = 4*a + 2539. Is w composite?
True
Let p(x) = 12*x**2 + 2*x + 15. Let g be p(7). Let s = 1110 - g. Is s a prime number?
False
Suppose 17 = -2*s - 83. Let g be (s/(-20))/((-1)/(-60)). Let z = g + -83. Is z a prime number?
True
Suppose -3714 = -2*u - 5*o + 1607, 5*o + 10597 = 4*u. Is u prime?
False
Suppose 6520 = 9*i - 7349. Is i prime?
False
Let w = -35755 - -100104. Is w a prime number?
False
Let k(f) be the second derivative of 11*f**3/3 - 19*f**2/2 + 3*f. Is k(11) a composite number?
False
Suppose 4*r = 5*q - 595803, -r + 2 = -2*r. Is q composite?
False
Let m be 815 + (-3 + 2)/1. Suppose -4*u = -m - 170. Let w = -89 + u. Is w composite?
False
Let g(n) = -n**2 + 11*n + 3. Let l be g(5). Let s be (-22)/l + (-22)/(-6). Suppose 0*y - s*y = -531. Is y prime?
False
Let t(i) = -5008*i + 21. Is t(-2) a prime number?
True
Suppose 0 = -3*t - 2*t + 30. Let m be -2 - 3/t*14. Is 506 + (3 + m - -3) a prime number?
True
Suppose -2*a + 536 = -5*n, -3*n = a - 5*n - 267. Is a a prime number?
True
Let c(x) = 83*x**2 + 15*x - 1. Is c(5) a prime number?
False
Let i = -569 - 134. Let h = i + 1423. Let s = h + -509. Is s prime?
True
Let p(s) = -315*s + 5. Is p(-2) composite?
True
Is 6/(-2) - (12 + -5 + -2063) prime?
True
Suppose 11*q - 16242 = -5495. Is q a composite number?
False
Let a = -23 - -31. Suppose 4*k + 4 = -a. Is -298*k*(-4)/(-24) a composite number?
False
Suppose 4*v - 18 = 2. Suppose -v*n + 3*o + 50 = 0, 0*n + 38 = n + 5*o. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
) - 5*x(w). Let z(d) = -2*d**2 + 5*d - 2. Give -3*l(q) - 16*z(q).
2*q**2 - 2*q + 2
Let c(m) = 2*m**3 + 3*m. Let x = -22 + 12. Let t(j) = -3*j**3 - 5*j. Calculate x*c(l) - 6*t(l).
-2*l**3
Let r(n) = -8*n - 5. Let i be 4/(-14) - (-102)/14. Let f(m) = -m + 7*m + m + 4. What is i*f(g) + 6*r(g)?
g - 2
Let x(h) = 5*h**2 + 5*h - 3. Let n(u) = 6*u**2 + 5*u - 3. Determine 4*n(m) - 5*x(m).
-m**2 - 5*m + 3
Let a(b) = -b**3 - 7*b**2 + 2. Let m(c) = -5*c**3 - 27*c**2 + 9. Calculate -9*a(w) + 2*m(w).
-w**3 + 9*w**2
Let f(n) = 3*n**2 + 3*n - 4*n**2 - 2*n + n**3. Let s(k) = -2 - 12*k + 32*k - 18*k - k**3 + 0*k**3 - 2*k**2. Give 2*f(j) - s(j).
3*j**3 + 2
Let r be -4 - -1 - (1 - 0). Let c(t) = -5*t - 1. Let k(d) be the second derivative of 2*d**3/3 + d**2/2 + 2*d. Suppose -5*j = -7 + 22. What is j*c(o) + r*k(o)?
-o - 1
Let p(j) = -2*j + 4*j + 2 - j. Let b(o) = 3*o + 6. Let t(l) = -l**2 + 3*l + 7. Let f be t(4). What is f*b(w) - 8*p(w)?
w + 2
Let o = 0 + 4. Suppose o*k - 30 = -k. Let i(m) = -6*m + 6. Let s(a) = 7*a - 7. Let l(z) = k*i(z) + 5*s(z). Let r(v) = -v. What is -2*l(c) + 3*r(c)?
-c - 2
Let g(v) = v + 1. Let x(p) = -4*p + 2. What is -5*g(a) + x(a)?
-9*a - 3
Let z(t) = -2*t - 32. Let h(k) = -k - 1. Calculate 4*h(f) - z(f).
-2*f + 28
Let b(m) = -9*m**3 - 3*m**2 - 5. Let v(i) be the third derivative of -i**6/30 - i**5/30 - i**3/3 - 53*i**2. Calculate 2*b(u) - 5*v(u).
2*u**3 + 4*u**2
Let j(f) = 5 + f**2 - 20*f**3 + 44*f**3 - 4 - 27*f**3. Let a(b) = b**3 - b**2 - 1. Determine -a(t) - j(t).
2*t**3
Let g = 60 + -56. Let f(m) = m**2 - m - 1. Let p(h) = 2*h**2 - 5*h - 2. Give g*f(i) - p(i).
2*i**2 + i - 2
Let x(j) = 2*j**3 + 5*j**2 - j - 9. Let p(d) = d**3 + 3*d**2 - d - 5. Calculate 5*p(f) - 3*x(f).
-f**3 - 2*f + 2
Let k(d) = -d**2 + 1. Let w(s) = -s**2. Suppose -3*h = b, 0 = 2*b + 4*h - 2 - 0. Suppose 0 = -5*n + 2 + b. Calculate n*k(t) - 3*w(t).
2*t**2 + 1
Let t(u) = -8*u**3 + u. Let o(c) = c**2 - 6*c - 10. Let s be o(9). Let j = 16 + -10. Let l(b) = 16*b**3 + 2 - 3*b - 2 + 7*b**3. Determine j*l(q) + s*t(q).
2*q**3 - q
Let z(l) be the second derivative of 0*l**2 - 5*l + 0 + 1/12*l**4 + 1/10*l**5 + 1/3*l**3. Let w(g) = 10*g**3 + 5*g**2 + 11*g. Calculate -2*w(k) + 11*z(k).
2*k**3 + k**2
Let c(i) = -18*i + 6. Let l(f) = 1. Give -c(z) + 6*l(z).
18*z
Let z(h) = 3*h**2. Let q(w) = -w**2 + 4*w - 4. Let l(f) = 2*f**2 - 9*f + 9. Let o(k) = -4*l(k) - 9*q(k). Calculate -4*o(t) + z(t).
-t**2
Let i(n) = -4*n**3 + 3*n + 4. Let a(o) = 7*o**3 - 5*o - 8. Determine -3*a(h) - 5*i(h).
-h**3 + 4
Let l(h) be the second derivative of 0*h**4 - 2*h - 1/20*h**5 + 0*h**2 + 0 + 1/6*h**3. Let a(r) = -2 - 3*r - 3*r**3 + 5*r + 3. Give -a(c) + 2*l(c).
c**3 - 1
Let i(f) = -13*f + 5. Let m(r) = -6*r + 3. Give -4*i(d) + 9*m(d).
-2*d + 7
Let v(s) = 1. Let m(y) = y - 8. Determine 2*m(w) + 6*v(w).
2*w - 10
Let v(n) = -n + 3. Let j(r) = r + 1. Determine -2*j(t) + v(t).
-3*t + 1
Let v(u) = 2*u**2 + 5*u. Suppose 0 = 3*t - 8*t + 40. Let d = 10 - t. Let h(y) = 2*y - 4*y - 4*y + 2*y**d - 4*y**2. What is 5*h(w) + 6*v(w)?
2*w**2
Let l(n) = -66*n. Let h(i) = -i. Calculate 55*h(t) - l(t).
11*t
Let h(v) = -1. Let p(y) be the first derivative of -y**5/120 - y**4/6 - 2*y**3/3 - 1. Let b(u) be the third derivative of p(u). Give -2*b(s) + 7*h(s).
2*s + 1
Let m(l) = 11*l**2. Let z(g) = 143*g**2. What is 66*m(u) - 5*z(u)?
11*u**2
Let l(b) = 14*b - 3. Let d(r) = -70*r + 16. What is -2*d(f) - 11*l(f)?
-14*f + 1
Let c(h) = 4*h + 4. Let l be (-7)/(-28) + (-30)/(-8). Let b = -1 - l. Let v(k) = -7*k - 7. Determine b*c(u) - 3*v(u).
u + 1
Let a(w) = -6 - 8 - 5 + 4 - 12*w**3. Let f = -44 - -45. Let g(v) = -v**3 - 1. Determine f*a(p) - 15*g(p).
3*p**3
Let f(l) = 3*l - 4. Let d(j) = -6*j + 7. Determine -6*d(x) - 10*f(x).
6*x - 2
Let r(c) = -2*c + 3. Let b be (-5)/2*(-12)/(-10). Let k(x) = -x + 2. Let h(t) = b*k(t) + 2*r(t). Let n(w) = 2*w. Calculate 5*h(p) + 3*n(p).
p
Let m(w) = 8*w**2 + 5*w - 7. Let v(z) = 21*z**2 + 15*z - 13. Let b(q) = -62*q**2 - 44*q + 39. Let t(h) = -6*b(h) - 17*v(h). Give 11*m(g) - 6*t(g).
-2*g**2 + g + 1
Suppose -11*p + 6*p = 65. Let n(f) = 7*f**2 - 7*f + 2. Let i(u) = 15*u**2 - 15*u + 4. Calculate p*n(b) + 6*i(b).
-b**2 + b - 2
Let w(j) = 182*j**3 + 28*j**2 + 28*j - 28. Let r(s) = 33*s**3 + 5*s**2 + 5*s - 5. What is 28*r(f) - 5*w(f)?
14*f**3
Let c(b) = b**2 - 10*b + 1. Let p(n) = -9*n + 1. Give -2*c(g) + 3*p(g).
-2*g**2 - 7*g + 1
Let a(t) = t + 2. Let v = -3 + 2. Let j(f) = 3. Let o(h) = -1. Let y(b) = -6*j(b) - 17*o(b). Let u = -6 + 3. Calculate u*y(p) + v*a(p).
-p + 1
Let h(v) = v + 4. Let k(i) = -4*i - 13. Determine -7*h(j) - 2*k(j).
j - 2
Let u(o) = 6*o - 3. Let a(j) = -5*j + 2. Suppose 5*l + 0*r = 4*r - 45, -2*l + 3*r - 25 = 0. Determine l*a(w) - 4*u(w).
w + 2
Let z(i) = -i**3 + i**2 - 1. Let l(d) = -13*d**3 + 26*d**2 - 26. Calculate -l(t) + 26*z(t).
-13*t**3
Let a(y) = 2*y**3 - 4*y**2 + 15*y - 9. Let u(t) = -t**3 + 2*t**2 - 7*t + 4. Calculate 4*a(p) + 9*u(p).
-p**3 + 2*p**2 - 3*p
Let m(f) = f**3 + 5. Let t(y) = -y**2 - y. Let v(k) = -k**3 - 4*k**2 - 4*k - 6. Let p(i) = 12*t(i) - 3*v(i). Calculate -18*m(g) + 5*p(g).
-3*g**3
Let l(m) = -m**3 - m**2 + m + 1. Let s(g) = 3*g**3 + g - 2. Calculate 2*l(n) + s(n).
n**3 - 2*n**2 + 3*n
Let w(v) = -v**2 - v + 1. Let d(n) be the first derivative of -n**4/4 + n**3/3 - n + 11. Let s = -15 - -16. What is s*w(y) + d(y)?
-y**3 - y
Let i(g) = -7*g**3 - 4*g**2 + 6*g + 6. Let r be 10/25*(20 - 0). Let n be (-7)/28 + (-46)/r. Let x(p) = -6*p**3 - 3*p**2 + 5*p + 5. What is n*x(c) + 5*i(c)?
c**3 - 2*c**2
Let w(i) = 10*i - 26. Let u(j) = -4*j + 8. Let n(a) = 10*u(a) + 3*w(a). Let b be 9/(-15) - (-2)/(-5). Let x(s) = -s. What is b*n(z) + 8*x(z)?
2*z - 2
Let k(y) = -y - 3. Suppose -2*v = -3*v. Let s(c) = v*c + c + c + 3*c + 13. What is 9*k(d) + 2*s(d)?
d - 1
Let z = -1 + 5. Let r be -2*1/(-2) - -2. Let x = r + -6. Let w(m) = 5*m**3 + 4*m - 4. Let i(b) = 4*b**3 + 3*b - 3. Give x*w(a) + z*i(a).
a**3
Let s(a) = -2*a**2 - 2*a. Let v be (8/10)/(8/(-60)). Let r be -2 + (-8)/v*3. Let j(z) = -r*z - z - 1 + 4*z. Give 2*j(x) + s(x).
-2*x**2 - 2
Let r(x) = 4*x**2 - 9*x - 9. Let f(g) be the first derivative of -g**3/3 + g**2 + 2*g - 28. What is -18*f(w) - 4*r(w)?
2*w**2
Let d(b) = -3*b**2 - 2*b - 3. Let a(p) be the third derivative of -p**5/15 - p**4/8 - 2*p**3/3 - 23*p**2. Suppose 4*m = 3*m - 2. Determine m*a(g) + 3*d(g).
-g**2 - 1
Let k(v) = 5*v**2 + 5. Let f(x) = -4*x**2 - 4. What is 6*f(w) + 5*k(w)?
w**2 + 1
Let m(z) = -z. Let a = 0 + 18. Suppose a = 3*v - 0*v. Let y(h) = -h + 1. Let f(j) = -j + 8. Let u(w) = -f(w) + 6*y(w). What is v*m(c) - u(c)?
-c + 2
Let u(w) = w**3 + w**2 + w. Let a(p) = -4*p**3 - p**2 - 3*p. What is -a(b) - u(b)?
3*b**3 + 2*b
Let j(o) = -o**2 + o + 2. Let d be j(-3). Let x be (-1)/((9/(-6))/3). Let q be x/(-3) + d/(-6). Let n(f) = 2*f - 5. Let m(b) = -1. What is q*n(w) - 5*m(w)?
2*w
Suppose -4*j + 9 - 44 = -a, 4*a - 30 = 5*j. Let x = -5 - j. Let f(u) = -4*u**2 + 5. Let s(i) = -6*i**2 + 8. Suppose 3*y + 12 = -12. Calculate x*s(m) + y*f(m).
2*m**2
Let b(d) = 2*d**3 - 27*d**2 - 7*d + 7. Let v(h) = -h**3 + 14*h**2 + 3*h - 3. Calculate 3*b(j) + 7*v(j).
-j**3 + 17*j**2
Let d(v) = -35*v. Let n(r) = -4514*r. Give 518*d(u) - 4*n(u).
-74*u
Let i(k) = k**2. Let n(d) be the first derivative of -d**4/4 - 2*d**3/3 - 2*d - 2. What is -2*i(m) - n(m)?
m**3 + 2
Let n(z) = -36*z**2 + 15. Let p(t) = -9*t - 3. Let l be p(-2). Let g(f) = -5*f**2 + 2. What is l*g(r) - 2*n(r)?
-3*r**2
Let c(h) = 2*h**2 + h + 5. Let g(j) = 1. Suppose 0 = 5*q - 5*t - 25, -3*q = -5*t - 17 - 6. Suppose 0 = f - q. What is f*c(m) - 6*g(m)?
2*m**2 + m - 1
Suppose h + 60 = -4*h. Let a(s) = -s**3 - 11*s**2 + 13*s + 14. Let n be a(h). Let g(z) = 4*z**2 - 21*z + 4. Let k(t) = t**2 - 5*t + 1. What is n*g(r) - 9*k(r)?
-r**2 + 3*r - 1
Let w(h) = -6*h + 1. Let f(t) = t**2 + 6*t - 1. Let z be f(-6). Let g(c) = c. Give z*w(o) - 4*g(o).
2*o - 1
Let r(f) = -1. Let v(i) be the third derivative of -i**4/24 - i**3 + 4*i**2. Suppose 6 = 2*n, -6 = g - 0*g - 4*n. Give g*r(t) - v(t).
t
Let s(f) = -3*f. Let z(j) = 16*j. Suppose 0 = -v - 12 - 10. Let t(g) = -g**2 + 6*g - 4. Let c be t(6). Give c*z(r) + v*s(r).
2*r
Let k(n) = 3*n**2 - 3*n + 2. Let j(l) = 1. Let c(h) = 2*h**2 - 2*h - 4. Let i = 24 + -14. Let f(w) = i*j(w)
|
{
"pile_set_name": "DM Mathematics"
}
|
hest common divisor of n and 36?
12
Let s = 22 + -20. Let d be 9/(s/((-24)/(-9))). Suppose -d = -o - 2*p, 3*o = 7*p - 2*p + 47. Calculate the greatest common factor of 42 and o.
14
Let r be (6/4)/((-9)/(-2) + -5). Let d be 143 - r/15*0. Calculate the highest common divisor of 13 and d.
13
Suppose -360 + 74 = -2*o. Let i be 2/(3 - (-17)/(-3))*-12. Let w be i - 2*(6 - 8). What is the highest common factor of w and o?
13
Suppose 5*x + 3*m = 1539 + 120, -1638 = -5*x + 4*m. What is the greatest common divisor of x and 66?
66
Let r be (-15)/((-55)/40 + 1). What is the greatest common divisor of r and 60?
20
Suppose -3*q + 2*s + 46 = 0, 56 = -q + 4*q - 4*s. Suppose 0 = 2*n + 4*m - 2, -n + 4 = -3*m - q. Let i = 79 + -44. What is the highest common divisor of i and n?
7
Let b = -44 - -73. Suppose 0 = 2*h + 25 - b. Calculate the highest common divisor of 2 and h.
2
Suppose 7*q + 10*q = 85. Calculate the highest common divisor of 215 and q.
5
Let b(q) = -q**3 - 28*q**2 + 58*q - 55. Let i be b(-30). What is the highest common divisor of i and 2?
1
Let w = 22 - 2. Suppose 0 = 2*m - m - w. What is the greatest common divisor of 40 and m?
20
Let q(p) = p**3 + 23*p**2 - 17*p - 41. Let t be q(-23). What is the highest common factor of 14 and t?
14
Let f(l) = 2*l**2 + 3*l - 1. Let j be (2/6)/((-1)/15). Let i be f(j). Let k(u) = 12*u + 13. Let a be k(6). Calculate the greatest common divisor of i and a.
17
Let f = 50 + -90. Let c be (f/30)/(2/(-36)). Calculate the greatest common factor of c and 60.
12
Let o be (-9)/(-5) - 1/(-5). Let l be ((-1)/2)/(1/(-18)). Let c be 9/o*462/l. What is the greatest common factor of c and 33?
33
Let q be (8/(-3) + 0)*(-3)/2. Suppose -2*u + u = -q. Suppose 0*i + 2*n = -i + 12, 3*i - 31 = -5*n. What is the greatest common factor of i and u?
2
Let k(c) = -c**3 - 4*c**2 - 10*c - 11. Let s be k(-5). Calculate the greatest common divisor of s and 192.
64
Let j = 88 - 89. Let a be 0 - (-8)/10*(-265)/j. Calculate the greatest common divisor of a and 53.
53
Let s be 81/15 - 2/5. Suppose 0*r - 72 = -s*r - 4*q, 4*q = -8. Let w be (-36 + 0)*(-4)/6. Calculate the highest common factor of w and r.
8
Let m(b) = 12*b**2 - b + 1. Let f be m(1). Suppose -6 = y + 2*y. Let z be ((-6)/f)/(y/180). What is the greatest common factor of z and 18?
9
Let m = 11 + 3. Let k = -4 - -14. Let p = 12 - k. What is the highest common divisor of m and p?
2
Suppose 5*g = -4*d - 73 + 502, -3*d + 308 = g. What is the greatest common factor of 2525 and d?
101
Let l be (48/(-14))/(62/(-1953)). Calculate the highest common factor of 81 and l.
27
Let k be 1759 - (-6)/(-9)*-6. Calculate the greatest common factor of 43 and k.
43
Suppose 4*u - 57 = -4*i + 623, -1 = -i. What is the greatest common factor of 65 and u?
13
Suppose -q + 181 + 129 = 0. Calculate the greatest common divisor of q and 62.
62
Suppose -12*q - 6*q + 882 = 0. Calculate the highest common factor of 35 and q.
7
Let i(x) = 3*x**2 - 8*x - 10. Let m = -1 - -8. Let l be i(m). Let z = l + 7. What is the highest common divisor of z and 8?
8
Let s = -330 + 342. Calculate the highest common divisor of 78 and s.
6
Let z be (3 + -4 + 2)*3. Let w = 1 + 3. Suppose -18 = -w*q + 2*q. What is the highest common factor of z and q?
3
Suppose 1825 + 6500 = 9*o. What is the highest common divisor of 5 and o?
5
Suppose 5*t - 61 = 709. Suppose 0 = y + 5*g - 27, -2*g - 2 - 4 = 0. Let s be (4 - (-56)/(-21))*y/4. Calculate the highest common factor of s and t.
14
Suppose 3*s - 32 - 4 = -o, 5*s - 3*o - 46 = 0. What is the greatest common factor of s and 209?
11
Let j = 90 - 86. Let c be (0 - 16)/(-5 - -3). What is the highest common divisor of j and c?
4
Suppose -2*n + h = -9, -2*n = 2*n + 3*h - 3. Suppose i = 5 - n. Suppose -4*y + 72 = -i*s, -s + 2*s - 21 = -y. What is the greatest common divisor of 209 and y?
19
Let u = -348 + 398. Calculate the highest common factor of u and 175.
25
Suppose 3*h = 235 + 50. Let f = -35 + h. Calculate the greatest common divisor of 12 and f.
12
Let i = -1068 + 1100. Calculate the greatest common divisor of 2048 and i.
32
Let y(c) = 6*c + 0*c - 51 + 67. Let r be y(6). What is the highest common factor of 13 and r?
13
Let l(p) = p**3 - 14*p**2 - 2*p + 12. Let q be l(14). Let b(r) = -5*r - 47. Let v be b(q). Calculate the highest common factor of v and 11.
11
Let r(g) = g**3 + 19*g**2 - 10*g - 73. Let j be r(-19). Calculate the highest common divisor of 26 and j.
13
Let j(h) = 63*h + 1. Let g be j(-1). Let t = g + 174. Let r(s) = 4*s - 10. Let v be r(6). What is the greatest common factor of t and v?
14
Suppose -3 = 3*a, -2 + 1 = 2*u - a. Let l be u/(-6) - (-51)/18. Suppose 2*g - 4 = l*k + 8, -3*k = 0. Calculate the greatest common divisor of 18 and g.
6
Suppose 10*f = -187 - 253. Let h = 58 + f. What is the greatest common factor of h and 182?
14
Let a(d) = 14*d**3 - d**2 + d. Let u be a(1). Let k = 33 - 31. Suppose -k*q + 672 = 4*q. Calculate the highest common factor of q and u.
14
Let u(k) = -22*k + 160. Let w be u(-3). Calculate the highest common divisor of 2 and w.
2
Suppose 0 = 2*x - 0*t + 4*t - 20, -5*t + 3 = -3*x. Let l be (-20)/(-16) + 2/(-8). Let y = 2 - l. Calculate the highest common factor of x and y.
1
Let y = -408 + 462. What is the highest common factor of 666 and y?
18
Let n(c) = -c**2 + 7*c + 13. Let g be n(8). Suppose 2*y - g = 3*y - 5*r, -3*y + 75 = 3*r. What is the greatest common divisor of 80 and y?
20
Let x be 231/21 - ((-5)/(-1))/(-1). What is the greatest common divisor of x and 112?
16
Suppose -127 = -d - 2*t, 3*t = -5*d - 23 + 644. Let o = d + -78. What is the highest common factor of 5 and o?
5
Let u(k) = 5*k + 144. Let o be u(-24). Suppose 4*p - 4*r = 5*p - 12, -5*p - 4*r + 60 = 0. What is the greatest common factor of p and o?
12
Let n be (-46)/(-2) - (0 - -1). Let f = -182 - -110. Let z = 74 + f. What is the greatest common divisor of z and n?
2
Let v(r) = 6*r**2 + 2*r. Let i = 54 + -56. Let k be v(i). What is the greatest common factor of 80 and k?
20
Suppose -5*x + 40 = -x. Let h be 2 + (-7)/(28/(-432)). Calculate the greatest common factor of x and h.
10
Suppose 0 = -2*a + 3*f + 68, 6*a - 5*f = 9*a - 140. Let p be ((-20)/(-6))/((-2)/(-36)). What is the highest common divisor of a and p?
20
Suppose -2*l = -r + 5*r + 120, 2*l = 4*r + 136. Let z = r + 8. Let i be (z/(-15))/(4/130). Calculate the highest common divisor of 13 and i.
13
Let b(p) = p - 2. Let w be b(3). Suppose -y = w - 5. Let z be -1 + (28/y - 2). Calculate the highest common divisor of z and 12.
4
Let m be (17/(-2) + 1)*-2. Let q(u) = -15*u. Suppose 4 = 7*i - 9*i. Let v be q(i). What is the greatest common divisor of v and m?
15
Suppose -2*x - 3*x + 110 = 0. Let z = -1 + x. Suppose 13*u - 1008 = 7*u. What is the highest common factor of u and z?
21
Suppose -j + 56 = -l, -3*l + 18 - 176 = -5*j. Let c = l - -74. What is the highest common factor of 13 and c?
13
Suppose -p + 688 = 5*h - 8*h, 2736 = 4*p - 4*h. Calculate the highest common divisor of 62 and p.
62
Let l = 11986 + -11967. Let i = -141 + 236. Calculate the highest common divisor of l and i.
19
Let c = -811 + 832. Calculate the highest common factor of c and 448.
7
Suppose 4*s - 9*c + 6*c = 192, -5*s + 240 = -2*c. What is the greatest common divisor of s and 64?
16
Suppose 0 = 3*i - 145 - 149. Suppose -7*d - 116 + 459 = 0. Let v = -35 + d. What is the greatest common factor of i and v?
14
Suppose -470 + 62 = -8*o. What is the highest common divisor of 17 and o?
17
Let d be 1/(-2) - (10 + 564/(-8)). Let c be (4/(-6))/((-2)/9). Suppose b - c*b = -24. Calculate the highest common factor of d and b.
12
Let q = 1776 - 1192. Let h = q + -332. What is the greatest common factor of h and 28?
28
Let f(p) = 97*p**2 - p + 1. Let x be f(1). Let h = x + -52. Calculate the highest common divisor of h and 360.
45
Suppose 5*q - 2*b - 18 = b, -5*q - 5*b = -10. Let i be q + (-1 - (9/(-3))/(-3)). Let t = -1 + 5. Calculate the highest common factor of t and i.
1
Let p(u) = 13*u**2 + 8*u + 42. Let a be p(-6). Calculate the greatest common factor of a and 56.
14
Let f = 116 - 76. What is the greatest common divisor of 1440 and f?
40
Let l = -26 - -66. Let u be 3/(9/13) - (-8)/12. Calculate the greatest common divisor of u and l.
5
Let a(z) = -2 + 2 - 7 - 7
|
{
"pile_set_name": "DM Mathematics"
}
|
first derivative of 45*x**3 - 3*x**2 + 190*x + 407148 wrt x?
135*x**2 - 6*x + 190
What is the third derivative of -3269172*t**4 + 25036*t**2 + 68?
-78460128*t
What is the third derivative of 23*l**6 - 45*l**4*s + 39*l**3*s + 4474*l**2*s + l**2 - 11*l - s + 1 wrt l?
2760*l**3 - 1080*l*s + 234*s
Differentiate -6*d**4*r + 3380*d**3*r*u - 24*r*u - 1534*r with respect to d.
-24*d**3*r + 10140*d**2*r*u
Find the second derivative of -7*s**5 - 66*s**2 + 13912*s wrt s.
-140*s**3 - 132
What is the third derivative of -668868*c**2*j**3 - 135*c**2*j**2 + 2*c*j**2 + 2*c*j - 2*j + 55 wrt j?
-4013208*c**2
Find the third derivative of 2*f*q**3*x + 5*f*q**3 - 6*f*q**2 + 103*q**3*x - 47*q**3 - 105*q**2 + 654*q*x wrt q.
12*f*x + 30*f + 618*x - 282
Differentiate 50681*g*o*q - 2*g*o - 7*g*q*r + 2*o*r + o - 23*q*r + 2*q - 2*r - 79 wrt g.
50681*o*q - 2*o - 7*q*r
Differentiate 1616*c**4 + 42*c + 2725910 wrt c.
6464*c**3 + 42
What is the second derivative of -8*a**3*g - a**3*i**2 - 9658*a**2*g**2*i**2 - 2*a**2*g**2*i - 1114*g*i wrt i?
-2*a**3 - 19316*a**2*g**2
Find the first derivative of -1530614*l*o + 4415179*l + 2*o wrt o.
-1530614*l + 2
What is the first derivative of 43*w**4 + 24755*w**3 + 642622 wrt w?
172*w**3 + 74265*w**2
Find the second derivative of -22736*b*n**3 - 587*b*n - 11*b - 5*n**3 + 2*n**2 - 3*n wrt n.
-136416*b*n - 30*n + 4
What is the third derivative of 20948*z**3 + 22384*z**2?
125688
Differentiate -155545*h - 573825.
-155545
Find the third derivative of -2*l*u**4 + 366*l*u**2 - 3*l - 2*u**4 + 4146*u**3 + 2*u**2 + 10 wrt u.
-48*l*u - 48*u + 24876
Find the second derivative of -h**3*k**3 + 737*h**2*k**3 - 2*h**2*k**2 - 193*h*k**2 + 56*k**3 wrt h.
-6*h*k**3 + 1474*k**3 - 4*k**2
Find the second derivative of -128364*y**4 + 21*y + 1617 wrt y.
-1540368*y**2
Find the first derivative of n**4 - 9*n**3 + 7*n**2 + 192671 wrt n.
4*n**3 - 27*n**2 + 14*n
What is the third derivative of 310*b**3*o*y**2 - 5*b**3*y**2 + b**3*y - b**2 + 3363*b*o*y**2 + 3*b*y**2 wrt b?
1860*o*y**2 - 30*y**2 + 6*y
What is the third derivative of 408*x**6 + 1174*x**5 - x**4 + 13*x**2 + 10961*x + 1 wrt x?
48960*x**3 + 70440*x**2 - 24*x
Find the third derivative of -h**4*m*p + 516689*h**4 + 1265*h**2*p + 96*m wrt h.
-24*h*m*p + 12400536*h
What is the derivative of -30*b**4 + 2*b**3 + 5066*b**2 - 859264?
-120*b**3 + 6*b**2 + 10132*b
Find the second derivative of -315156*d**4 + 2*d**3 + 13*d + 16818.
-3781872*d**2 + 12*d
What is the third derivative of 201*h**2*t**3 - 13*h**2*t**2 - h**2 - 2*h*t**2 - 170*t**3 - t - 120 wrt t?
1206*h**2 - 1020
Find the third derivative of 3256260*d**3*i**2 - d**3*i - 21*d**2*i**2 - 411*d*i**2 - 4*d*i - 6*i**2 - i wrt d.
19537560*i**2 - 6*i
What is the derivative of -4310*d*f**2*q + 17155*d*f**2 - 2*f**2*q wrt q?
-4310*d*f**2 - 2*f**2
Find the first derivative of q**3 - 462507*q - 4495793.
3*q**2 - 462507
What is the derivative of 14*t**2*z + 297*t**2 - t*z - 37*t + 392811*z wrt t?
28*t*z + 594*t - z - 37
Differentiate 54716*a**3*m - 2371*a**3*t - 9*a*m + 81*m*t with respect to t.
-2371*a**3 + 81*m
Find the third derivative of 2460*x**3 - 25267*x**2 wrt x.
14760
Find the first derivative of -29552*b - 30309 wrt b.
-29552
What is the second derivative of -657866*c**5 + 6*c - 44180 wrt c?
-13157320*c**3
Find the second derivative of 191817*i**3 + 2*i**2 - 1321432*i.
1150902*i + 4
Find the second derivative of -3*q**4 + 397*q**3 + 2*q**2 + 111*q - 114.
-36*q**2 + 2382*q + 4
What is the second derivative of -106*r**3*y - 7*r**3 - 419*r**2*y + 2127396*r*y wrt r?
-636*r*y - 42*r - 838*y
Find the second derivative of -476593*f**2 + f + 2879.
-953186
Find the first derivative of 38*p**3 + 588*p**2 + 49261.
114*p**2 + 1176*p
Find the third derivative of -2601802*c**6 + 1034248*c**2.
-312216240*c**3
Differentiate -1012345*d*z - 2266952*z with respect to d.
-1012345*z
What is the first derivative of 2431*v**4 - 97*v**2 - 3675030 wrt v?
9724*v**3 - 194*v
Differentiate -343296*f**4 - 259974 wrt f.
-1373184*f**3
What is the third derivative of -7*g**6*t - 1296*g**5*t + 39653*g**2*t wrt g?
-840*g**3*t - 77760*g**2*t
What is the third derivative of 39*k**4 - 2*k**3*p*x - 43*k**3*x - 2*k**2*p*x - 8*k**2*x + k*p + 27*x wrt k?
936*k - 12*p*x - 258*x
What is the derivative of 84*u**2*z**4 - 1765*u**2 + u - 72*z**4 wrt z?
336*u**2*z**3 - 288*z**3
What is the second derivative of 1737805*u**2 - 430984*u?
3475610
What is the first derivative of j**4 + 28*j**3 - 14*j**2 - 430*j - 2677639 wrt j?
4*j**3 + 84*j**2 - 28*j - 430
What is the derivative of 518*g**3*s**3 - g**2*s**3 + 10*g + 97*s**3 + 4*s**2 + 86 wrt g?
1554*g**2*s**3 - 2*g*s**3 + 10
Find the second derivative of -p**5 + 1013231*p**2 - 362507*p wrt p.
-20*p**3 + 2026462
What is the third derivative of 717439*j**3*v**4 - 7*j**3*v**2 - 112*j**2*v**2 - j - 20 wrt v?
17218536*j**3*v
Find the second derivative of 53384*i**5 - 159924*i wrt i.
1067680*i**3
What is the second derivative of -2*h**3*x**3 - h**3*x - 4*h**3 - 897376*h*x**3 + 2*h*x + 1496*x wrt x?
-12*h**3*x - 5384256*h*x
Find the third derivative of -11*s**5*u**2 - 3098*s**3*u**3 + 588*s**2*u + s**2 + 12*u**3 wrt s.
-660*s**2*u**2 - 18588*u**3
What is the third derivative of 2*p**5 + 432823*p**4*v**2 + 212*p**2*v**2 + p**2*v + p**2 - p*v wrt p?
120*p**2 + 10387752*p*v**2
What is the derivative of -1013936*s**2 - s - 5638354 wrt s?
-2027872*s - 1
Find the third derivative of -3075*x**4 + 7*x**3 + 7186*x**2 + 9.
-73800*x + 42
What is the second derivative of 1215*m**5 - m**4 + 22*m**2 + 102607*m?
24300*m**3 - 12*m**2 + 44
Find the first derivative of -6*c*l**3 - 33*c*l**2 - 108*c*s + 284*l**3*s wrt s.
-108*c + 284*l**3
Find the third derivative of -n**5 + 3440*n**4 - 22*n**3 + n**2 + 2*n + 7302 wrt n.
-60*n**2 + 82560*n - 132
Differentiate 857895*i*j + 2577*i - 82 wrt j.
857895*i
Find the first derivative of -12812*d**2*l**2 + 4*d*l**3 - 57*l**3 + l**2 - 48 wrt d.
-25624*d*l**2 + 4*l**3
What is the third derivative of -59346*p**3 + 25723*p**2 wrt p?
-356076
Find the first derivative of -2*q**3 + 44*q**2 - 12*q + 44321.
-6*q**2 + 88*q - 12
Find the third derivative of 39628*c*t**3 - 2*c*t - 5*t**2 + 229*t wrt t.
237768*c
What is the derivative of -44174*g**3 - 161843 wrt g?
-132522*g**2
What is the first derivative of -9*l*s + 312697*l + 1374*s wrt s?
-9*l + 1374
Find the second derivative of -114757*n**2 + 2*n + 14363 wrt n.
-229514
What is the third derivative of -b**4*p - b**4 - 6*b**3*p - 90*b**3 - 98*b**2*p + b**2 + 3*p wrt b?
-24*b*p - 24*b - 36*p - 540
Find the third derivative of 145804*o**3*y*z - 55968*o**2*y*z - o**2*z wrt o.
874824*y*z
Find the first derivative of -1196757*l - 4987804 wrt l.
-1196757
Find the third derivative of -16813*c**3*v**3*y - 466*c**3*v**2*y + 2*c**3*v*y + v**2 - y wrt v.
-100878*c**3*y
Differentiate -116250*j**2 + 416898 with respect to j.
-232500*j
Find the third derivative of 6*n**4*v**3 - 50*n**4 - 2*n**3*v**3 + 1331*n**2 + 2*n*v + 25*v**3 wrt n.
144*n*v**3 - 1200*n - 12*v**3
What is the third derivative of -32996*n**2*p**3 + 339*n**2*p**2 - n*p**2 - p**5 - 11*p**2 wrt p?
-197976*n**2 - 60*p**2
Find the first derivative of -629*k*l*y + 8*k*l - 68*k*y + 21*k - 5*y + 1 wrt l.
-629*k*y + 8*k
What is the derivative of -34*d*j*v - 206943*d*j - d*v - 2*d - 167*j*v - j + 2*v wrt v?
-34*d*j - d - 167*j + 2
Find the second derivative of 4600149*i**2 - 2*i + 1355925.
9200298
Differentiate 2*a*w**2 - 34194*a - 3526*w**2 with respect to w.
4*a*w - 7052*w
Find the second derivative of 180*d**3*g**2 - 77*d**3*g - 13*d**2*g**2 - 40*d**2*g + 2*d**2 + 4*d*g**2 - 6*g**2 - 16*g wrt g.
360*d**3 - 26*d**2 + 8*d - 12
Find the third derivative of 23*n*y**4 + 2*n*y**3 - 2*n*y + n - y**4 - 8*y**3 + 4*y**2 + 44*y + 8 wrt y.
552*n*y + 12*n - 24*y - 48
Find the first derivative of 13099*c - 6267.
13099
What is the first derivative of -234943*d + 138273 wrt d?
-234943
Differentiate 231819*k*x + 23*k - 8247 wrt x.
231819*k
What is the third derivative of -11*k**4*l - 35*k**4 - 1003*k**3*l - 2*k**2*l - 100*k**2 + 2*k - 86*l wrt k?
-264*k*l - 840*k - 6018*l
Find the third derivative of -37001*j**4 - 122214*j**2 wrt j.
-888024*j
Differentiate -5*o**3*v + 32071*o**2*v - 227900*v wrt o.
-15*o**2*v + 64142*o*v
Find the first derivative of 15255*r**4 - 24*r**3
|
{
"pile_set_name": "DM Mathematics"
}
|
ple of 15?
False
Let n(u) = u**3 + 9*u**2 + 6*u - 4. Let a be (0 - -6)/2 + -11. Does 4 divide n(a)?
True
Let n = -61 - -157. Is n a multiple of 16?
True
Let w = 6 - 8. Is 27 a factor of w + (1 - -29) + -1?
True
Suppose -2*a - 33 = -5*c, 0*a + 4*a = -3*c - 1. Suppose -4*j - j + 115 = -c*u, 41 = 2*j - 3*u. Does 6 divide j?
False
Let z(i) = i**2 + 8*i + 4. Let r be z(-5). Let w = r - -19. Is (-1)/1*(3 - w) a multiple of 2?
False
Let k(r) = r + 1. Let n be k(-6). Let b = -5 - n. Let d = 2 - b. Is d a multiple of 2?
True
Let t = 22 + -17. Suppose 2*m - 2*z - 10 = -0*m, 2*m - t*z - 10 = 0. Does 4 divide m?
False
Let b(n) = n + 4 - n**2 - 3*n + 0*n - n. Let j be b(-4). Suppose j = 4*z - 0*z - 28. Is z a multiple of 5?
False
Let i be (-9)/(-15) + 24/10. Let l = 10 - i. Suppose -4*p - 2*u + 54 = 0, 2 + l = p + 2*u. Is 5 a factor of p?
True
Let c(l) = -5*l**3 + l. Let x be c(-1). Is 13 a factor of 195/6 - 2/x?
False
Let i(d) = -d - 4. Let h be i(-5). Let y be 2 + -1 + 2/h. Suppose 0 = -y*a - a - w + 88, a - 22 = -3*w. Does 8 divide a?
False
Suppose 12 = 4*q - 176. Suppose -53 - q = -5*r. Suppose -3 = -5*p - s + r, -4*p + s + 13 = 0. Is 3 a factor of p?
False
Let r be (0 - (-2 - -6))*-1. Suppose r*z = 2*z + 10. Suppose -z*s + 34 = -c, 2*s + c = s + 8. Is s a multiple of 7?
True
Let f be 1 - (0 - 23)*4. Let t = f - 56. Is 10 a factor of t?
False
Suppose 0*w = -3*w + 267. Let t = w + -51. Is 19 a factor of t?
True
Is 13 a factor of 2/(5*4/390)?
True
Does 2 divide (-40)/5*(-2)/4?
True
Let b(j) be the first derivative of j**2/2 + 25*j - 1. Let q be b(0). Suppose -2*d = q - 101. Is 11 a factor of d?
False
Let l(r) = r**2 - 5*r + 4. Is 10 a factor of l(6)?
True
Let x = 2 - -1. Suppose v - 36 - x = 0. Is 13 a factor of v?
True
Suppose -18 = -b - 3*p - 2, -34 = -4*b - 2*p. Suppose -b*o + 3*o = -k - 52, -2*o + 5*k = -8. Let s = 21 - o. Does 7 divide s?
True
Let d(w) = -w**2 + w + 42. Suppose -3*h + 14 = -3*b + 2, -h = 5*b + 2. Let p = b + 1. Is 14 a factor of d(p)?
True
Let w(p) = 13*p + 2. Let j be (2/8)/((-6)/(-48)). Is 14 a factor of w(j)?
True
Let f(q) = 21 - 2*q - 7 + 6*q - 3*q. Is 3 a factor of f(-7)?
False
Let m(k) = k + 5. Let c be m(0). Suppose -y - 5 = -2*y + 2*w, -w - 4 = 0. Let l = c + y. Is 2 a factor of l?
True
Let i(o) = 11*o - 4. Let b(d) = 12*d - 5. Let l(v) = 4*b(v) - 3*i(v). Does 13 divide l(4)?
True
Is 4 a factor of (3 + (-2 - -5))*20/6?
True
Let v(n) = -42*n. Let z = 6 - 5. Let t be v(z). Let k = 71 + t. Does 8 divide k?
False
Suppose 0*n - 2*z - 478 = -4*n, -2*n = -5*z - 219. Does 22 divide n?
False
Suppose -5*d + d - 60 = 0. Suppose -6 = 4*r + 2. Does 12 divide (10/d)/(r/114)?
False
Let k(t) be the second derivative of -t**5/20 + t**4/2 + t**3/6 - t**2/2 - 3*t. Is 15 a factor of k(4)?
False
Let z(g) = -g**2 - 11*g - 6. Let j be z(-11). Let b be j/(-4)*(-4)/(-3). Let i = 8 - b. Is 6 a factor of i?
True
Let j(b) = -b**3 - b**2 - b - 1. Let v be j(0). Let f = v + 3. Suppose f = d - 0*d. Does 2 divide d?
True
Is 6/(-4) + 470/20 a multiple of 11?
True
Let u(z) = -9*z - 5. Let c be 0 - (3 + -2) - -10. Let j = c + -13. Is 21 a factor of u(j)?
False
Let u be (32/10)/((-5)/(-75)). Suppose 5*j = 3*n - 132, n - u = 4*j - 4. Is 22 a factor of n?
True
Suppose 0*d + 32 = -4*d. Does 14 divide (84/d)/(3/(-8))?
True
Let j(u) be the third derivative of -u**6/120 - u**5/15 - u**4/4 - u**3/3 - 4*u**2. Does 11 divide j(-4)?
True
Let j(m) = m**3 + 8*m**2 - 11*m - 16. Is 18 a factor of j(-8)?
True
Suppose 5*f - f = 16, 36 = -4*s + 4*f. Let x(d) = 5 - 8 - 5*d - 2 + d. Is x(s) a multiple of 10?
False
Let p(t) = 4*t**2 + t + 1. Let j be p(-1). Suppose -2*v = -j*v + 16. Is 4 a factor of v?
True
Suppose 24 + 96 = 2*w. Is 12 a factor of w?
True
Suppose 2*r - 8 = -2. Suppose 0*o + 70 = 2*v - 2*o, 5*v - 179 = r*o. Is 10 a factor of v?
False
Suppose -2*g + 52 = 4*p, -23 = -g - 4*p + 3*p. Is g a multiple of 20?
True
Let v(h) = 6*h**2 - 9*h + 4. Does 12 divide v(4)?
False
Let v(y) = y - 5. Let m be v(7). Suppose 2*w = -5*f + 49, m*f + 70 = 5*w - 3*f. Is w a multiple of 14?
False
Let m(g) = g**3 + 9*g**2 + 2*g + 1. Let b be m(-9). Does 9 divide (b/4)/((-3)/24)?
False
Suppose 5*g + 2*h = -6, h + 6 = 4*g - h. Suppose -4*q = -5*z + 262, g*z - 62 = -z - 4*q. Does 12 divide z?
False
Let i(d) = -45*d. Let s(x) = -13*x. Let v(b) = -5*i(b) + 18*s(b). Let z = 1 - 4. Is 11 a factor of v(z)?
False
Let x be (48 - -1) + (-4 - -1). Is 12 a factor of (-3)/(12/x)*-2?
False
Suppose 0 = -6*j + 2*j. Suppose j*c + 84 = 4*c. Let f = 37 - c. Does 16 divide f?
True
Let p(i) = 33*i**3 - 3*i**2 + 7*i - 2. Does 24 divide p(2)?
True
Let j(g) be the third derivative of -5*g**4/24 - 5*g**3/6 - g**2. Let w be 45/10*4/(-3). Is j(w) a multiple of 9?
False
Let t = 62 - 92. Let c = t + 54. Is c a multiple of 10?
False
Let k = -33 + 96. Let z be 581/k - 4/18. Suppose 0 = q - z - 24. Does 14 divide q?
False
Does 10 divide (3 - -47) + -3 + -4?
False
Is 6 a factor of (0 - 61)/(-1*(3 + -2))?
False
Let n(f) = f**3 - 7*f**2 + 5. Let h be n(7). Suppose h*r - 36 = r. Let x = r - 0. Is x a multiple of 9?
True
Let s be (-2)/8 - (-201)/(-12). Let p(n) = n**3 - 7*n**2 - 5*n + 4. Let r be p(7). Let q = s - r. Is q a multiple of 14?
True
Let f(g) = -6 - 2 - 2*g + 3*g. Let s be f(10). Suppose -8 = -s*q + 2. Does 4 divide q?
False
Suppose 0 = 2*o - 7*o + v + 5, 4*o + 7 = 3*v. Suppose l - 4 - o = 0. Is 6 a factor of l?
True
Let u(z) = 2*z - 7. Let f(t) = -t**3 - 5*t**2 + 2*t - 1. Let m be f(-3). Let w = -15 - m. Is 6 a factor of u(w)?
False
Let j(c) = c + 1. Let w(h) = 15*h + 10. Let o(k) = 10*j(k) - w(k). Does 15 divide o(-3)?
True
Let g(b) = 123*b**2 + 3*b - 2. Is g(1) a multiple of 31?
True
Let u(w) = -w**2 - 2 + 5 + w + w**3 + 0*w**3. Let p be u(0). Is ((-2)/(-3))/(p/72) a multiple of 6?
False
Suppose 4*c - 39 = -3*x, 5*x = -0*x - 5*c + 65. Does 13 divide x?
True
Let y(h) be the third derivative of -h**9/5040 + h**8/10080 + h**7/5040 - h**5/30 - 2*h**2. Let n(b) be the third derivative of y(b). Is 13 a factor of n(-1)?
True
Suppose s - 1 = 0, -3*s + 2 + 4 = 3*r. Let x be ((-2)/(-3))/(r/6). Suppose 9*g - 20 = x*g. Is 4 a factor of g?
True
Let c(z) = -z. Let p be c(-4). Suppose -44 = l - 5*l - p*a, 5*l = 3*a + 71. Suppose -3*q = -l - 26. Is 13 a factor of q?
True
Let y(x) be the third derivative of 17*x**5/30 + x**4/12 - x**3/6 + 5*x**2. Let s be 1 - (1 - 1)/1. Does 15 divide y(s)?
False
Suppose 3*f + 4*s = 37, -4*f + 3*s = -2*s - 8. Let t(l) = -17*l + 58*l - 19*l - 10 - 15*l. Is t(f) a multiple of 13?
True
Let j(m) = m**3 - 6*m**2 + 6*m - 2. Let r be j(5). Suppose r*x - 96 = -x. Is x a multiple of 8?
True
Let k = -106 - -228. Is k a multiple of 44?
False
Let x(g) = -g**3 - 9*g**2 + g + 12. Let s be x(-9). Suppose -75 = -2*v - s. Is 18 a factor of v?
True
Let w = 2 + -7. Let c(x) = x**2 - x. Let f(p) = 2*p**2 + 2*p + 2. Let a(u) = -c(u) + f(u). Is 12 a factor of a(w)?
True
Suppose 3*m - 21 = -3*b, -4*m - 2*b = -0*b - 20. Let h = m - -22. Let w = h + -6. Is w a multiple of 19?
True
Suppose 3*l + 0 = 3. Suppose 10 = t - l. Is 7 a factor of t?
False
Let d(i) = 26*i - 12. Does 27 divide d(2)?
False
Suppose 5*u - 124 = 446. Does 23 divide u?
False
Let c = 466 + 25. Is c a multiple of 22?
False
Suppose -2*c = -5*c - h - 397, -4*c - 525 = -3*h. Let t = c - -186. Does 18 divide t?
True
Let p(n) = -n**2 + n - 6. Let o be p(6). Let y(v) = -7*v**2 + 2*v + 1. Let m be y(3). Let h = o - m. Is h a multiple of 10?
True
Let b be (6 - 4) + 2*11. Is ((-2)/(-3))/(b/2196) a multiple of 29?
False
Suppose -4*x - 12 = -3*d, -8*d + 3*d - 3 = x. Suppose d*w = 5*w - 15, -3*m = -w - 93. Is 16 a factor of m?
True
Let p = -10 + -13. Let w = p + 51. Is 6 a factor of (72/w)/((-2)/(-14))?
True
Suppose q + 2*q = 60. Does 11 divide q?
False
Let h be 62*((-3)/3 - -2). Suppose 0 = -3*a + 248 - h. Is a a multiple of 9?
False
Let t = 7 - 4. Suppose -5*x = -t*j - 4, -6*j + x = -j + 14. Does 2 divide (5 - 0)/((-3)/j)?
False
Suppose 3 + 7 = -5*h. Suppose -58 = 3*p - 13. Is 14 a factor of (-1)/(-2)*h - p?
True
Let o(w) = -w**2 + 10*w + 7. Is o(9) a multiple of 3?
False
Suppose 5*m + 4 = -86. Let t = m + -38. Is 11 a factor of t/(-3) + (-4)/6?
False
Let p = 9 - 6. Is 3 a factor of p?
True
Does 4 divide 1 - 3/((-9)/39)?
False
Suppose -27 = j + 14. Let t = 12 + 6
|
{
"pile_set_name": "DM Mathematics"
}
|
8*l**2 - 37*l**2).
88*l**4
Expand ((3 - 1 - 3)*(1 - 3 + 3) + 11 - 6 - 14)*(4*a + 13 - 13).
-40*a
Expand (0 - 2*z + 0)*(8 - 3 - 3) + (-10*z - 4*z + 0*z + (0 - 4 + 2)*(-z + z + 2*z))*(-5 + 5 - 2).
32*z
Expand (-5 + 1 + 0)*(6*h + h - 5*h)*(4 - 4 + 15*h).
-120*h**2
Expand (-1 + 5 - 2)*(-o + 0*o + 0*o) - 1361 + 1356 + 11*o - 4*o.
5*o - 5
Expand (-2 + 1 - 1)*(-2*q**2 + 4*q**2 + 0*q**2) - q**2 - q**2 - q**2 - 2*q + 0*q**2 - 3*q**2 + 3 + 3*q.
-10*q**2 + q + 3
Expand (0 - 4 + 3)*(-2*u - 2*u - 5*u)*(-u + 3*u + 2*u).
36*u**2
Expand (-n**2 - 2 + 2)*(0 + 1 + 500*n**3 - 456*n**3).
-44*n**5 - n**2
Expand (-31 + 28*j**2 + 62 - 29)*(-1 - 5 + 4)*(1 - 1 + j**2)*(0 + 2*j + 0).
-112*j**5 - 8*j**3
Expand (0 + 2 - 1)*(-19*w - 13*w - 24*w) - 2*w - 2*w + 2*w + (-1 + 2 + 1)*(w + 2*w - w).
-54*w
Expand (2 + l - 4 + 3)*(2 - 2 + 2*l) - 5*l**2 + 22 - 22 + (l - 3*l + 4*l)*(3 - 3 + 2*l) - 4*l**2 + 2*l**2 + l**2 + 32*l + 10*l**2 - 32*l.
10*l**2 + 2*l
Expand -14*i - 14 + 14 + (-4*i + 3*i + 0*i)*(-2 + 0 + 6).
-18*i
Expand -10*b + 10*b + 11*b**3 + b**3 - 2*b**3 + 2*b**3 - 4*b**3 + 0*b**3 + 2*b**3 + (-2*b - 3 + 3)*(-2*b**2 + 3*b**2 + 0*b**2).
8*b**3
Expand -8 + 9*h + 6 - 2*h + (2*h + h - 2*h)*(-3 - 3 + 4).
5*h - 2
Expand (29 + 3 - 18)*(-l + 4*l - 5*l)*(2*l**2 - 2*l**2 - 12*l**2).
336*l**3
Expand (6 - 3 - 2)*(2*c**2 - 2*c**2 - 2*c**4) + 26*c**4 + 26*c - 27*c**4 - 11*c**2 + c**2.
-3*c**4 - 10*c**2 + 26*c
Expand (35*g**4 + 33*g**4 - 52*g**4)*(-4 + 4 - 3*g).
-48*g**5
Expand (-1 + 2*v**2 + 1)*(14*v - 85*v - 123*v)*(0*v**2 - 2*v**2 + v**2).
388*v**5
Expand (0 + 3 - 2)*(0 - 1 + 3)*(15*x + 30*x + 13*x) + (2 + 1 - 1)*(-4 + 4 + 2*x).
120*x
Expand (a - a + a)*(-3 - 1 + 5)*(-7 - 21 - 6)*(-1 - 2 + 5).
-68*a
Expand (-18*g**2 + 22*g**3 + 18*g**2)*(-5 + 0 + 1)*(1 + 2 - 2).
-88*g**3
Expand (2*j**4 + 0*j**4 - 3*j**4)*(2 + 76 + 759*j - 756*j).
-3*j**5 - 78*j**4
Expand 9*i**4 - 4*i**4 + 6*i**4 + (-i + 2*i**3 + i)*(1 - 1 + 2*i) + 101*i**4 + 118*i**4 - 4*i**3 + 4*i**3.
234*i**4
Expand (0*x**2 - x**3 + 0*x**2)*(-23350 + 23350 - 336*x)*(4*x - 2*x + 0*x).
672*x**5
Expand (-o - 3*o + 2*o + (3 + 1 - 5)*(o - 2*o + 0*o))*(-26*o**2 - 2*o - 34*o**2 - 3*o**3 + 58*o**2).
3*o**4 + 2*o**3 + 2*o**2
Expand (-3*d + 2*d + 3*d)*(-4*d + d - d) + 6*d - 5*d**2 - 6*d.
-13*d**2
Expand (14*u**2 - 12*u + 12*u)*(-4 - u**3 + 3 - 1) - 5*u**5 - 1811*u**3 - 2*u**5 + 1805*u**3.
-21*u**5 - 6*u**3 - 28*u**2
Expand (3*y**2 - 2*y**2 - 3*y**2 + (-2*y - y + 4*y)*(5 + 3*y - 5) + 5 - 5 - 2*y**2)*(4*y - 6*y + 3*y + 2).
-y**3 - 2*y**2
Expand (37*l**2 + 18*l - 20*l - 3*l**2 + (0*l + l + l)*(2*l - 1 + 1) + 3*l**2 + 0*l**2 - 2*l**2)*(-3*l**2 + 0*l**2 + l**2).
-78*l**4 + 4*l**3
Expand (2 + 1 - 4)*(-19*x**2 - 159*x**2 - x**2)*(2*x - 3*x + 2*x).
179*x**3
Expand (5*p**4 - 4*p**4 + 0*p**4)*(-2*p - p + p) - 3*p**5 + 3*p**5 + p**5 + 762*p**5 + p**2 - 729*p**5 - 3*p**2.
32*p**5 - 2*p**2
Expand -5*j**4 + 0*j**4 + 3*j**4 - 2*j**4 + 0*j**4 + j**4 + (-j + 3*j + 0*j)*(5*j**3 - 2*j**3 - 2*j**3) - 1819*j**4 + 594*j**4 - 2379*j**4 - 9*j**4.
-3614*j**4
Expand (z + 2*z - z)*(z - z - 2*z)*(-23*z + 23*z + 18*z).
-72*z**3
Expand 0 + 0 + v - 2*v + 1 - 1 + (-2 - 2*v + 2)*(-3 + 2 + 3) + (2 - 5 - 3)*(-v - v - v)*(-1 - 3 - 3).
-131*v
Expand 162*f + 31*f - 46*f + 3 - 3 + 3*f - 2*f + 3*f + f - 4*f - f + 3*f + (-2*f + 2*f + 2*f)*(-2 + 2 - 2).
146*f
Expand (-m**3 + 0*m**3 - m**3)*(3*m - m + 0*m) + (-7*m + m + 7*m)*(5*m**3 - 4*m**3 + 2*m**3) + 0*m**4 - 3*m**4 + 5*m**4 - m**4 + 0*m**4 + 7*m**4.
7*m**4
Expand s**5 - 2*s**5 + 3*s**5 + (-3 + 4*s**2 + 3)*(23*s**3 + 2 - 2).
94*s**5
Expand (2*t - 2*t - 4*t)*((-4 - 3*t + 4)*(2 + 3 - 4) + 0*t - 2*t + 3*t).
8*t**2
Expand s**3 + 2*s**3 - s**3 + (-181 - 116 + 368 - 5*s)*(-s**2 + 3*s**2 - 4*s**2) + 4*s**3 + 0*s**3 - 2*s**3.
14*s**3 - 142*s**2
Expand (a - 4*a + 4*a)*((2 - 5 + 2)*(-5 + 4 - 10) + 3 - 2 - 10).
2*a
Expand (0 - 2*b + 0)*(6*b - 5*b + 6*b) + 8*b - 8*b + 11*b**2.
-3*b**2
Expand (-3 + 2*x + 3)*(-1 + 5 - 2 - 2 + 3 + 3 + (1 - 2 + 2)*(0 + 2 + 0) - 2 - 1 + 1 - 6 + 3 - 6).
-6*x
Expand (4*s**2 + 3*s**2 - 5*s**2)*((-1 + 1 + 2)*(2 + 1 - 1) + 2 + 1 - 1)*(8 - 9 - 13).
-168*s**2
Expand -132*c**5 + 138*c - 70*c - 67*c + (0*c**2 - 3*c**2 + 2*c**2)*(3*c**2 - 3*c**2 + c**3).
-133*c**5 + c
Expand (-3*w + w + w + (0 + 4 - 2)*(-2 - w + 2))*(143*w - 62 + 39 + 21).
-429*w**2 + 6*w
Expand (-z**2 - z**2 + 0*z**2)*(-z - 2 + 2) + (4*z + z - 4*z)*(-17 - 3*z + 17)*(-3*z + 4*z - 3*z).
8*z**3
Expand (-17*s**2 - 39*s**2 + 14*s**2)*(0 + 10 - 2).
-336*s**2
Expand -3*i + 461 + 0*i - 462 - 2 - 2*i + 2 + (1 + 1 - 3)*(2 - 2 + 2*i) - i - 3*i + 2*i.
-9*i - 1
Expand (-18*f + 2*f**2 + 18*f)*(1 - 3 + 4)*(f - 25*f**2 + f + 12*f**2).
-52*f**4 + 8*f**3
Expand (-3*f - 2*f**2 + 3*f)*(-4*f**3 - f**3 + 7*f**3) + 51*f**4 - 9*f**5 - 104*f**4 + 10 + 55*f**4.
-13*f**5 + 2*f**4 + 10
Expand (2 + 3 - 6)*(2*p**4 - 2*p**4 - 2*p**4) + 6*p**4 - 2*p**4 - 3*p**4 + (-1168 + 1168 + 52*p**3)*(-3*p + 6*p - 4*p).
-49*p**4
Expand (-2*z - 3*z + 0*z)*(-z**2 + 0*z**2 - z**2)*(z**2 - 2*z + 3*z**2 - 3*z**2) - 4 - 6*z**5 + 7*z**5 - 2*z**5.
9*z**5 - 20*z**4 - 4
Expand (-22 - 51 - 16)*(-3 + v**4 + 3)*(-3 + 4*v + 3).
-356*v**5
Expand (-2*j + 5*j - 2*j)*(2*j**2 + 3*j - 3*j) + 7756*j**3 + 3*j - 4*j**2 - 7752*j**3 + 2*j**2.
6*j**3 - 2*j**2 + 3*j
Expand -2*g - 2 + 2 + (-2 + 2 - 2*g)*(1 + 1 + 4) + 4*g - 1 - g - 5*g + 11*g + 429 - 429.
-5*g - 1
Expand (-7*y + 23*y + 16*y)*(-13*y + 22*y - 8*y + 6).
32*y**2 + 192*y
Expand 3*m**4 - 3*m**4 + 2*m**4 + (-2*m + 0*m + 0*m)*(-6 + 7*m**3 + 6)*(-17 + 7 + 12).
-26*m**4
Expand (-d + d + d)*(4*d + 1529*d**3 + 31*d**4 - 11*d**4 - 1527*d**3).
20*d**5 + 2*d**4 + 4*d**2
Expand -704*r**2 + 704*r**2 - 64*r**3 + r**3 + 4*r**3 - 3*r**3 + (2*r**2 + 3*r - 3*r)*(2*r - r + 0*r) - 4*r**2 + r**3 + 4*r**2 + (0*r + 3*r - r)*(1 - r**2 - 1).
-61*r**3
Expand -34*v + 7*v**2 + 34*v + (-3*v + 3*v + v)*(-12*v - 13*v + 35*v) - 2 + 2 + v**2.
18*v**2
Expand (-5*m + 4*m + 2*m + (0 + 0 + 2)*(-1 + m + 1) + m + 2*m - m + (3 - 2*m - 3)*(-5 + 1 + 3) - 5 - m + 5)*(-4*m + 4*m - 19*m).
-114*m**2
Expand 156*y - 8 + 4 + 4 - 2*y - 3*y + 3*y + (4 - 5 + 0)*(-3*y - y + 3*y).
155*y
Expand (-b**4 + 3*b**4 + 0*b**4)*(1 - 1 - 2*b + (-2 + 0 + 4)*(91 - 91 - 7*b)).
-32*b**5
Expand (-9*d**3 - 4*d + 4*d)*(d + 3*d + d) + 0*d**2 + 0*d**2 + d**4.
-44*d**4
Expand 14 - c + 5 - 2*c + (-3*c + c + 4*c)*(-1 + 0 - 1) + 4*c + c - 2*c.
-4*c + 19
Expand (-4*c - 9 + 9)*(-5*c + 0*c + 6*c)*(-c**2 + 3*c**3 + c**2) - c**5 - c + c.
-13*c**5
Expand 4*h**4 + 4*h**4 - 5*h**4 + (-1 + 2 + 1)*(-2*h**4 + 4*h**4 - h**4) + 7*h**3 - 3*h**4 - 7*h**3 + (0*h**3 + 2*h**3 + 0*h**3)*(4*h - 2*h + 0*h).
6*h**4
Expand (12 + 13 + 0)*(5*r**2 + 2*r**2 - 6*r**2).
25*r**2
Expand (-5*q + 5*q + 3*q)*(2 - 2 + q) + 15*q**2 - 8*q**2 + 6*q**2 + (-5*q - q + 3*q)*(-3*q - 3 + 3).
25*q**2
Expand (k - k - 6*k + (-k - 4 + 4)*(-5 + 3 + 0))*(-148 + 67 + 72).
36*k
Expand (-33*p + 33*p + 2*p**2)*(p + 2*p - 4*p)*(-3 - 4 + 0)*(0 - 4 + 3).
-14*p**3
Expand (-2013*y**2 + 1005*y**2 - 17*y**3 + 1008*y**2 + 19*y)*(5 - 5 - y).
17*y**4 - 19*y**2
Expand (0*v - 4*v + 5*v)*((2 - 6 + 2)*(-1 + 2 + 1) + (0 + 0 - 5)*(4 + 3 - 3))*(2 - 7 + 8).
-72*v
Expand q**5 - 29*q**2 + q - 33*q**2 + 3*q**2 + (-1 + 2*q**2 + 1)*(-2*q**3 + 2 - 2).
-3*q**5 - 59*q**2 + q
Expand (-41*g**3 - 12*g**5 + 41*g**3)*(0 + 3 - 5).
24*g**5
Expand (2 - 2 - 2*q)*(-q**4 - 3*q**4 + 2*q**4) - 76922*q + 180*q**5 + 76922*q.
184*q**5
Expand -95995*b**4 + 22 + 95996*b**4 - 7 + 0*b**4 + b**4 + b**4 + 2*b**4 + b**4 - b**4 + (b - 5*b + 2*b)*(b**3 + 2*b**3 - 5*b**3) - b**3 + b**3 - 2*b**4.
7*b**4 + 15
Expand (-3 + 3*k**4 + 3)*(-2361 + 2361 + 28*k) - 2*k**5 - 3*k**5 + 3*k**5.
82*k**5
Expand (-s - 2*s + 6*s)*(0 - 6 + 1) - 4*s - 8*s - 2*s.
-29*s
Expand (-4 + o + 4)*(361 + 271 - 442).
190*o
Expand 2*v - v - 5*v + (0 + 0 - 2*v)*(-1 - 1 + 5) - 4 - 43*v - 43*v + 88*v.
-8*v - 4
Expand (-5*r + r + 3*r)*(-90 + 48 + 42 - 17*r**2).
17*r**3
Expand ((-2 + 2 + 2 - 4 + 0 + 2 + (-4 + 1 + 4)*(3 + 2 - 7))*(w + 0 + 0) + 6*w - 2*w + w)*(-4 + 2 + 1).
-3*w
Expand (2*m + 2*m - 3*m)*(-1 + 0 + 0) + 16368 - 16368 - 601*m - 354*m.
-956*m
Expand (2*a + a - 4*a)*(-3*a - 2*a**3 + 3*a) + 2*a**2 - a**4 - 2*a**2 + 280*a**2 - 18*a**4 - 280*a**2.
-17*a**4
Expand (3*x + x - 3*x)*(-3*x**4 - 2*x**4 + 4*x**4) - x**5 + 2*x**3 - 2*x**3 + (34*x**2 + 42*x**2 - 86*x**2)*(-4*x**3
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 2*c + 0 + 2 = 0. What is c*r(y) - 2*k(y)?
y**3 - y**2 - 1
Let r(j) = j**2 + 2*j. Let p(c) = -c**2 - 3*c. Determine -3*p(g) - 4*r(g).
-g**2 + g
Let r(w) be the second derivative of -5*w**4/12 - w**3/2 + 3*w**2/2 + 29*w. Let i(y) = 10*y**2 + 5*y - 5. Give -3*i(c) - 5*r(c).
-5*c**2
Let p(h) = 50*h + 3. Let u(d) = -17*d - 1. Give 2*p(f) + 7*u(f).
-19*f - 1
Let u(b) = -4*b**2 + 8*b - 2. Let i(t) = t. Let a(o) = 12*i(o) - u(o). Let r(j) = -2*j**2 - 2*j - 1. Give 4*a(p) + 9*r(p).
-2*p**2 - 2*p - 1
Let d(u) = -u + 1. Let a(i) = i. Give a(r) - d(r).
2*r - 1
Let h(x) = 4 + x - 5 - x - x. Let u(f) = f**2 + 6*f + 5. Give -6*h(c) - u(c).
-c**2 + 1
Let r = 0 + -2. Let l be 46/10 + r/(-5). Let h(a) = -3*a**2 + 5*a + 14. Let n(f) = -2*f**2 + 3*f + 9. Determine l*h(u) - 8*n(u).
u**2 + u - 2
Suppose -3*q = 2*o + 8, 0 = 5*q - q - 2*o + 20. Let c = q + 0. Let t(l) = -5 + 1 + l**2 + 2 - l. Let s(g) = g**2 - g - 3. Calculate c*s(d) + 5*t(d).
d**2 - d + 2
Let h(q) = -2*q + 5. Let a(p) = -3*p**2 + 99*p + 13. Let w be a(33). Let x(d) = 4*d - 11. Calculate w*h(i) + 6*x(i).
-2*i - 1
Let n(w) = -7*w**3 - 11*w**2 + 11*w + 21. Let f(h) = -4*h**3 - 6*h**2 + 6*h + 11. Give -11*f(i) + 6*n(i).
2*i**3 + 5
Let l(p) = 15*p**3 + 3*p**2 - 7*p**2 - 8 - 5*p - 22*p**3. Let c(r) = 6*r**3 + 3*r**2 + 4*r + 7. Calculate -5*c(y) - 4*l(y).
-2*y**3 + y**2 - 3
Let z(p) = -1. Let f(l) = 3*l + 8. What is -f(v) + 2*z(v)?
-3*v - 10
Let c(a) = a. Let z be (-1)/(2*2/(-12)). Suppose r + 6 = -z*p, r + 0 + 8 = -5*p. Let j be p + 0 + 1 + 1. Let l(k) = -3*k + 2. Determine j*l(n) + 4*c(n).
n + 2
Let u(w) = -w - 4. Let r(v) = v. Let m(o) = -o - 11. Let h(y) = m(y) - r(y). Calculate -3*h(f) + 8*u(f).
-2*f + 1
Let y(r) = -r**3 - r**2 + r - 1. Let l(s) be the third derivative of -s**5/20 + s**4/12 - s**3/3 + 9*s**2. What is l(v) - 2*y(v)?
2*v**3 - v**2
Let k(x) = -17*x**2 - 8*x + 8. Let u(t) = -52*t**2 - 24*t + 24. Let p(i) = -16*k(i) + 5*u(i). Let z(a) = -8*a**2 - 5*a + 5. What is 5*p(b) + 8*z(b)?
-4*b**2
Let j(l) = l - 1. Let c(d) = 3*d - 4. Let w(v) = 4*v - 5. Let p(t) = 7*c(t) - 6*w(t). Determine 4*j(x) + p(x).
x - 2
Let g(b) = -b**3 + b**2 + b + 1. Let u(k) = 2*k**2 + 2*k + 2. Let t(h) = 4*h + 1. Let n be t(-1). Let y be n/(-9) + (-5)/(-3). What is y*g(z) - u(z)?
-2*z**3
Let g(a) = a - 1. Let b(r) = -3*r + 4. What is -3*b(i) - 8*g(i)?
i - 4
Let l(f) = -5*f - 5. Let j(v) = -1. Give 3*j(g) - l(g).
5*g + 2
Let r(w) = w**3 + 7*w**2 - 1. Let h be r(-7). Let p(z) = -1. Let a(y) = -y + 4. Calculate h*a(b) - 2*p(b).
b - 2
Let u(z) = 2*z**3 + 3*z**2. Let m(b) = 4*b**3 + 7*b**2. Give 4*m(i) - 9*u(i).
-2*i**3 + i**2
Suppose w + 2*n - 12 = -4*w, -3*n = -5*w + 7. Let z(q) = 10*q + 7. Let j(k) = 7*k + 5. Let b(y) = -7*j(y) + 5*z(y). Let p(x) = 2*x + 1. What is w*p(l) - 5*b(l)?
-l + 2
Let o(j) = j**2 + 3*j - 4. Let x(t) = t**2 + 4*t - 5. Let u(l) = 3*l + 1. Let w be u(-2). Determine w*o(y) + 4*x(y).
-y**2 + y
Let z(y) be the third derivative of -y**6/30 - y**5/15 - y**3/2 + 2*y**2. Let r(k) = k**3 + k**2 + 1. Let p = -12 - -15. Give p*r(g) + z(g).
-g**3 - g**2
Let g(j) = -7*j - 2. Let i(c) = -c - 1. Let l(a) = -g(a) + 4*i(a). Let f(y) = -7*y + 4. Determine 2*f(o) + 5*l(o).
o - 2
Let g(x) = 5*x**3 + 5*x**2 - 3*x - 6. Let y(o) = 4*o - 11*o**3 - 49*o**2 + 3*o + 38*o**2 + 13. What is 7*g(z) + 3*y(z)?
2*z**3 + 2*z**2 - 3
Let q(t) = 1 + 3 - 6*t + 2. Let z(y) = -7*y + 7. Calculate 6*q(x) - 5*z(x).
-x + 1
Let g(y) = -6*y - 5. Let p(h) = 7*h + 6. Let q(x) = -x - 7. Let c be q(-6). Let m(d) = -3*d**3. Let u be m(c). Suppose -u*v = v - 24. Calculate v*g(r) + 5*p(r).
-r
Let l(p) = -6*p**2 + 3*p - 3. Suppose 3*n + 2 = -13. Let a(i) = -2*i - 4 - 7*i**2 + 10*i - 4*i + 0. Give n*l(o) + 4*a(o).
2*o**2 + o - 1
Let u(d) = -1. Let v(q) = 5*q - 4. Determine 6*u(b) - v(b).
-5*b - 2
Let o(r) = -r**3 - 13*r**2 - 2*r - 15. Let s be o(-13). Let x(v) = 4*v + v + 0*v. Let i(w) = -9*w. Give s*x(c) + 6*i(c).
c
Let a(h) = -6*h - 3. Let m be 4 + 0/5 - 0/3. Let n(r) = 6*r + 4. Calculate m*a(o) + 3*n(o).
-6*o
Let t(d) = d**3 + 9*d**2 + 7*d - 6. Let x be t(-8). Let m(l) = 4*l - 1. Let h(z) = 13*z - 4. What is x*h(p) - 7*m(p)?
-2*p - 1
Let f be ((-14)/(-14))/(1 + 0). Let g(b) = -b - 1. Let j(d) = -4*d - 3. Determine f*j(u) - 3*g(u).
-u
Let d(n) be the second derivative of -n**5/5 - n**4/3 + n**3/3 + n**2/2 - 2*n. Let l(z) = -9*z**3 - 9*z**2 + 5*z + 3. Determine -5*d(g) + 2*l(g).
2*g**3 + 2*g**2 + 1
Let r(u) = -u**2 + 2. Let j be r(0). Let g(x) = 20 - 6 - 14 - x**2. Let i(t) = -4*t**2. What is j*g(y) - i(y)?
2*y**2
Let v = 10 - 5. Let g(q) = 0*q**2 - 4*q - q**2 - 3*q**2 + 6*q**3. Let u(a) = -5*a**3 + 3*a**2 + 3*a. Suppose 7*n - 11*n = -16. Calculate n*g(f) + v*u(f).
-f**3 - f**2 - f
Let k(r) = 5*r**2 - 8*r + 8. Suppose 29 = -5*l - 1. Let b = -1 - l. Let c be (3/(3/8))/(-1). Let s(z) = 3*z**2 - 5*z + 5. What is b*k(g) + c*s(g)?
g**2
Let k(f) = 4*f**2 + 5*f - 10. Let c(x) = 4*x**2 + 4*x - 11. Let h(p) = 2*c(p) - 3*k(p). Let u(o) = -o**2 - o + 1. Calculate -h(s) + 6*u(s).
-2*s**2 + s - 2
Let o(j) = -j**3 + 5*j**2 + j. Suppose 2*s + 7 + 1 = 0. Let w(i) = -i**3 + 6*i**2. Calculate s*o(a) + 3*w(a).
a**3 - 2*a**2 - 4*a
Let t(k) = -k**2 + 4*k + 4. Let x(r) be the first derivative of r**3/3 - 5*r**2/2 - 5*r - 1. Suppose 0 = -6*a + 11 + 1. Calculate a*x(v) + 3*t(v).
-v**2 + 2*v + 2
Let a(i) = 2*i. Let h(n) be the first derivative of -n**2/2 - 5. Let k(v) = -2*a(v) - 3*h(v). Let r = 6 + -3. Let l(x) = 2*x. What is r*l(m) + 8*k(m)?
-2*m
Let y(n) = -3*n**3 + 2*n + 11. Let a(i) = -13*i**3 + 9*i + 44. Give -2*a(z) + 9*y(z).
-z**3 + 11
Let i = 128 + -126. Let r(n) = -3*n - 7. Let z(x) = -x - 1. Give i*z(f) - r(f).
f + 5
Let f(s) = -3*s - 26. Let y(k) = 3*k + 26. Determine -5*f(w) - 4*y(w).
3*w + 26
Let r(g) = 5*g**2 - 3. Let w(c) = -6*c**2 + 4. Let i(s) = s**2 + 7*s - 3. Let h be i(-7). Calculate h*w(z) - 4*r(z).
-2*z**2
Let t be (3 - (-1 - -1)) + 5. Let g(i) = -11*i**2 + 8. Let o(k) = -4*k**2 + 3. Give t*o(y) - 3*g(y).
y**2
Let k(d) = -36*d + 1. Let v(j) = -j. Determine k(t) - 4*v(t).
-32*t + 1
Let g(o) be the first derivative of 0 - 4 - 2*o + 1 - 2*o**2 + 4*o**2. Let h(n) = 2*n - 1. Determine 2*g(q) - 5*h(q).
-2*q + 1
Let w(k) = -6*k**3 - 10. Let a(y) = y**2 + 8*y + 2. Let g be a(-9). Let t(j) = j**3 + 2. What is g*t(u) + 2*w(u)?
-u**3 + 2
Suppose -j - 13 = 2*y, -5*y + 8 = -5*j - 12. Let c(v) = 7*v**2 + 6*v + 3. Let d(r) = -8*r**2 - 7*r - 4. Give j*c(l) - 6*d(l).
-l**2 + 3
Suppose -26*m - 21 = -23*m. Let q(d) = d. Let k(n) = -n. What is m*q(h) - 5*k(h)?
-2*h
Let q(v) = -11*v**3 - 19*v**2 + 2*v + 11. Let z(r) = -5*r**3 - 9*r**2 + r + 5. Determine 4*q(k) - 9*z(k).
k**3 + 5*k**2 - k - 1
Let b(n) = 0*n**2 + n + 5 - 2*n**2 + 0*n**2. Let v(u) = 3*u**2 - u - 7. Give -7*b(q) - 5*v(q).
-q**2 - 2*q
Let k(z) = z + 1. Let w(r) = -8*r**2 + 24*r + 24. Give 48*k(g) - 2*w(g).
16*g**2
Let f(x) = -x**3 + 6*x - 8. Let b(k) = k**3 - 7*k + 9. Suppose 10*a - 12*a = -14. Determine a*f(p) + 6*b(p).
-p**3 - 2
Let n(y) = 8*y**2. Let s(o) = -o**2. Determine n(c) + 12*s(c).
-4*c**2
Let h(g) = -2*g**3 + 5*g**2 - 6*g - 2. Let j(y) = 6*y**3 - 14*y**2 + 17*y + 6. Let u = 1 - -2. Let o = u - -31. Suppose 0 = 3*n - 17 - o. Give n*h(k) + 6*j(k).
2*k**3 + k**2 + 2
Let u(t) be the third derivative of -t**4/24 + t**3/6 - t**2. Let p(w) = -w - 1. What is p(o) + u(o)?
-2*o
Suppose z = -3*s - 8, -3*z + z = 2*s + 12. Let b(y) = 7*y**2 - 3*y - 3. Let i(m) = 2*m + 0*m + 2*m**2 - 8*m**2 + 2. Calculate z*i(o) - 4*b(o).
2*o**2 + 2*o + 2
Let h(p) = p**3 + p**2 + 1. Let i be (-14)/(-3) - (-2)/(-3). Let r = i - -1. Let l(k) = 2*k**3 + 5*k**2 + 5. What is r*h(g) - l(g)?
3*g**3
Let n(d) = -11*d - 5 + d + d. Suppose 7 = 2*b + 2*i - 1, 56 = 5*b - 4*i. Let o(w) = 14*w + 8. Give b*n(g) + 5*o(g).
-2*g
Let f(z) = -4*z + 7*z**3 + 6*z + 5 - 6*z**3 - 9*z**3. Let n(r) = 4*r**3 - r - 2. Calculate 2*f(k) + 5*n(k).
4*k**3 - k
Let t(k) be the second derivative of k**3/6 - 6*k. Let i(u) = 8*u + 1. Determine -i(a) + 6*t(a).
-2*a - 1
Let j(g) = -6*g**2 + 6*g + 7. Let s(o) = 2*o + 2. Let i be s(-2). Let u(a) = -a**2 + a + 1. Determine i*j(c) + 14*u(c).
-2*c**2 + 2*c
Let d(k) = k. Let z(n) = -8*n. What is -28*d(i) - 4*z(i)?
4*i
Let z(m) = -8*m**2 + 2*m - 2. Let u(c) = c - 1. Determine 2*u(n) - z(n).
8*n**2
Let l(g) = -9*g**2
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.3, -15, -46
Sort 9, 8, -1, -27, 15, 2 in ascending order.
-27, -1, 2, 8, 9, 15
Sort 2/1315, 58, 4/5, 3 in descending order.
58, 3, 4/5, 2/1315
Sort -6, 5, -33, 1 in descending order.
5, 1, -6, -33
Sort -56/19, 4, 2/203.
-56/19, 2/203, 4
Sort -5, -49, 37 in increasing order.
-49, -5, 37
Sort -5, -3, -4, -2, -497 in increasing order.
-497, -5, -4, -3, -2
Sort 0.135, 3/2, 82, 10 in decreasing order.
82, 10, 3/2, 0.135
Put 1/8, 0.2072, -0.3, -2/7, 4 in ascending order.
-0.3, -2/7, 1/8, 0.2072, 4
Put 4, 1/4, 0.4, 0.3, -0.125131 in decreasing order.
4, 0.4, 0.3, 1/4, -0.125131
Sort -34, 163, -2.
-34, -2, 163
Sort 1, 0.5, -3/7, -171.
-171, -3/7, 0.5, 1
Sort 0.03, -23225, 0.2 in ascending order.
-23225, 0.03, 0.2
Put -1/263, 0.1, 2/13, -66 in decreasing order.
2/13, 0.1, -1/263, -66
Sort -459, 2, 3, -5 in increasing order.
-459, -5, 2, 3
Sort 548, 17, -4, 4 in decreasing order.
548, 17, 4, -4
Sort 2, 11, 3, -2, -62 in increasing order.
-62, -2, 2, 3, 11
Sort -70, -2/13, -16/11 in ascending order.
-70, -16/11, -2/13
Sort 0, 101, 3, 2, 57 in ascending order.
0, 2, 3, 57, 101
Sort 4, -2052, 3 in increasing order.
-2052, 3, 4
Put 34, 15, -1, 9 in ascending order.
-1, 9, 15, 34
Sort -2, 0.03032, -2/3.
-2, -2/3, 0.03032
Put -1, -98, -1.13 in ascending order.
-98, -1.13, -1
Put -185, -0.2, -5, 1/71 in ascending order.
-185, -5, -0.2, 1/71
Sort -4, 15, -5, 4, 0, -2.
-5, -4, -2, 0, 4, 15
Sort -5, -8, 1, -3, 2, -70 in decreasing order.
2, 1, -3, -5, -8, -70
Put -15/2, 64, 0.04 in decreasing order.
64, 0.04, -15/2
Sort 3/4, 3/5, -1/2, -4, -29, 0.15.
-29, -4, -1/2, 0.15, 3/5, 3/4
Put -9/8, -3/14, -20, -2 in decreasing order.
-3/14, -9/8, -2, -20
Put -5, 2/5, -0.07, -5/2, 5/2 in descending order.
5/2, 2/5, -0.07, -5/2, -5
Sort 1, 126, 2/11, -2, -3.3, -0.2.
-3.3, -2, -0.2, 2/11, 1, 126
Put 0, -5, -8, -21, 2 in decreasing order.
2, 0, -5, -8, -21
Put -6, 3, -1, 182, 5 in decreasing order.
182, 5, 3, -1, -6
Sort 4, 126, 6, -5, -3, 1 in descending order.
126, 6, 4, 1, -3, -5
Put 1729, 0, 6, -4, -5, -2 in ascending order.
-5, -4, -2, 0, 6, 1729
Sort -41, -2, 15, 0.62, -0.1.
-41, -2, -0.1, 0.62, 15
Put 1, 2/5, 39, -0.5, -2/7, 0.2 in descending order.
39, 1, 2/5, 0.2, -2/7, -0.5
Sort -48, -31, 1.
-48, -31, 1
Sort -17, 4, 258304.
-17, 4, 258304
Put 0.44, 588, 1 in increasing order.
0.44, 1, 588
Sort 2, -15, -122, 5, -3 in descending order.
5, 2, -3, -15, -122
Sort -6, -1, -4, 1, 18, -10.
-10, -6, -4, -1, 1, 18
Put -1, -3, -3906 in descending order.
-1, -3, -3906
Put 17, 204, 11/4 in increasing order.
11/4, 17, 204
Sort -4, 33, 0.204.
-4, 0.204, 33
Put -51, 2, 106, 0 in ascending order.
-51, 0, 2, 106
Sort 1, -4/75, 5, -0.02, 4 in descending order.
5, 4, 1, -0.02, -4/75
Sort 8, -20, -2, -3, -9, 2.
-20, -9, -3, -2, 2, 8
Put -831.4, -3/8, 2/11, -108 in decreasing order.
2/11, -3/8, -108, -831.4
Put -5, -15, 62, 4, -4, -3 in descending order.
62, 4, -3, -4, -5, -15
Put 3, -1, 2, 0, -845, 4 in descending order.
4, 3, 2, 0, -1, -845
Sort -4, -31, 6, 1 in increasing order.
-31, -4, 1, 6
Put 7, 11, -15 in descending order.
11, 7, -15
Sort 0, -2, 53, 966 in ascending order.
-2, 0, 53, 966
Put 4, -9842, -5 in ascending order.
-9842, -5, 4
Put -7, 58, 4, -9 in decreasing order.
58, 4, -7, -9
Sort -3, 1, -2137, 2/11, 3 in increasing order.
-2137, -3, 2/11, 1, 3
Sort -0.2, 20, 5, 0.21, -1/4, 3/4 in descending order.
20, 5, 3/4, 0.21, -0.2, -1/4
Sort -3, -14, -50.
-50, -14, -3
Sort -3, 4, -36, 2, 20 in descending order.
20, 4, 2, -3, -36
Put 3, 4, -48101, -4 in ascending order.
-48101, -4, 3, 4
Sort 12/11, 1/4, -1, 0.5, -12, -2/7.
-12, -1, -2/7, 1/4, 0.5, 12/11
Put 0, -1/3, -15, -5, 2 in descending order.
2, 0, -1/3, -5, -15
Put 10, 0, 4, 1728, -2 in decreasing order.
1728, 10, 4, 0, -2
Put 1363, -1/3, -1 in descending order.
1363, -1/3, -1
Sort 4, -102, 257, 2 in ascending order.
-102, 2, 4, 257
Put 85, -29, 18 in decreasing order.
85, 18, -29
Sort -5, 1, 14, 4, -1109, 2.
-1109, -5, 1, 2, 4, 14
Put 3, 4, 5, 11, 54 in increasing order.
3, 4, 5, 11, 54
Put 184/9, -1/3, -3 in decreasing order.
184/9, -1/3, -3
Sort 3, -15, 27, -5, 5 in descending order.
27, 5, 3, -5, -15
Sort 2, 5, -4, 1175, -3, -2 in ascending order.
-4, -3, -2, 2, 5, 1175
Sort -4, -1, 4/2659, 2, -8 in ascending order.
-8, -4, -1, 4/2659, 2
Sort -0.3, -0.12, 2/7, 2, 9 in ascending order.
-0.3, -0.12, 2/7, 2, 9
Sort -250, -6, -5 in increasing order.
-250, -6, -5
Sort -3, 47776, -5 in increasing order.
-5, -3, 47776
Put 475, -0.4, 2, -0.5, -1/4 in increasing order.
-0.5, -0.4, -1/4, 2, 475
Put -676, 2/9, 7, -3 in ascending order.
-676, -3, 2/9, 7
Put -1, -3, -8.9, 9 in increasing order.
-8.9, -3, -1, 9
Put 0.08, 0.2, -221 in increasing order.
-221, 0.08, 0.2
Put -7, -3, -53, 0, 56 in descending order.
56, 0, -3, -7, -53
Sort 0, 1, -347, 12 in ascending order.
-347, 0, 1, 12
Sort 41, -210, -2 in descending order.
41, -2, -210
Sort 1392/83, 2/7, 3 in decreasing order.
1392/83, 3, 2/7
Put 0.02, -5, -306, -10/7, -1/4 in increasing order.
-306, -5, -10/7, -1/4, 0.02
Sort -0.04, 5, -0.19, -0.25 in descending order.
5, -0.04, -0.19, -0.25
Sort 4.63, -3/8, 0.4, 5, -6/11.
-6/11, -3/8, 0.4, 4.63, 5
Sort 0, -1852, 0.03 in increasing order.
-1852, 0, 0.03
Put 0.167, 16, -5, -26 in ascending order.
-26, -5, 0.167, 16
Put 3, -2, 16906 in descending order.
16906, 3, -2
Sort 112/67, 0.4, -5, -1, -0.4.
-5, -1, -0.4, 0.4, 112/67
Put 4, -1, -351, 2, -2 in increasing order.
-351, -2, -1, 2, 4
Sort 371, -20, 5.
-20, 5, 371
Sort 28, 0.031, -10 in increasing order.
-10, 0.031, 28
Sort 1, 24, 230, -59 in decreasing order.
230, 24, 1, -59
Sort 2, 8, 0, 3, -20, -5 in decreasing order.
8, 3, 2, 0, -5, -20
Sort 3/2, 6, -1494, -1 in ascending order.
-1494, -1, 3/2, 6
Sort -3, 1733, 0.06, 8 in increasing order.
-3, 0.06, 8, 1733
Sort -2, -91, -4, 2, 3.
-91, -4, -2, 2, 3
Sort -0.4306, 63, 5 in increasing order.
-0.4306, 5, 63
Sort 0, 2, -5, 10, -11, 160 in descending order.
160, 10, 2, 0, -5, -11
Put 2, 4, 3563, 0, 1 in increasing order.
0, 1, 2, 4, 3563
Sort -2, -5, 3, 2, -3, 1362/23.
-5, -3, -2, 2, 3, 1362/23
Sort -13, 1406, -5.
-13, -5, 1406
Sort 1, -19, -267, 4, 16 in ascending order.
-267, -19, 1, 4, 16
Sort 82, 0.6, 0, -5.
-5, 0, 0.6, 82
Put -10, 6, -5, 4, 3551 in increasing order.
-10, -5, 4, 6, 3551
Sort -221, -7, 0.5, -4.
-221, -7, -4, 0.5
Sort -3, 38240, 5 in decreasing order.
38240, 5, -3
Sort -2/57, -1/2, -0.2, -437 in decreasing order.
-2/57, -0.2, -1/2, -437
Sort -2, -4, 13/56, 2/15.
-4, -2, 2/15, 13/56
Sort -15, -1, -40, -3 in ascending order.
-40, -15, -3, -1
Put 21837, -1/9, 4, 0.2 in increasing order.
-1/9, 0.2, 4, 21837
Put -2/13, 100, 2/15, 3 in decreasing order.
100, 3, 2/15, -2/13
Put 5, -2, 1, -355437 in descending order.
5, 1, -2, -355437
Sort -31, 11351, 2 in decreasing order.
11351, 2, -31
Sort 0.1, -16, 770, -1/6.
-16, -1/6, 0.1, 770
Sort -0.2, -8, 278.
-8, -0.2, 278
Put -12440, -4, -2 in decreasing order.
-2, -4, -12440
Put 11, 0, -0.3, -15/2, 12/7, -2 in decreasing order.
11, 12/7, 0, -0.3, -2, -15/2
Sort 6, -60, -4, 4, 1 in increasing order.
-60, -4, 1, 4, 6
Put 3/10, 4, -0.005 in descending order.
4, 3/10, -0.005
Put 0, -34.29, -0.05 in ascending order.
-34.29, -0.05, 0
Put 20, -2, -1.3, -7/3 in descending order.
20, -1.3, -2, -7/3
Sort 1, 1.5, -288/85 in decreasing order.
1.5, 1, -288/85
Put -0.03, -1, -2/305, -3, 5 in descending order.
5, -2/305, -0.03, -1, -3
Sort 3, -3032, 44, -2.
-3032, -2, 3, 44
Sort 1/6, -0.3, 139, -10, -1 in decreasing order.
139, 1/6, -0.3, -1, -10
Sort 8, -1588, 2, -11 in increasing order.
-1588, -11, 2, 8
Put -6096, 0.5, -3 in decreasing order.
0.5, -3, -6096
Sort 1095, -5, -36.
-36, -5, 1095
Sort 443, 1/3, -0.4.
-0.4, 1/3, 443
Put -2, 3.8, -0.15, -0.062 in decreasing order.
3.8, -0.062, -0.15, -2
Put -0.08, 0.0282, -0.5, 2 in increasing order.
-0.5, -0.08, 0.0282, 2
Put -0.1, -3695, 5, 2/7 in decreasing order.
5, 2/7, -0.1, -3695
Put -172, 1, 4, -20 in increasing order.
-172, -20, 1, 4
Put 12, -14, -4, -40, -2, 5 in descending order.
12, 5, -2, -4, -14, -40
Put 12, 3, 2, 1, -351 in increasing order.
-351, 1, 2, 3, 12
Sort -920.7, 0.3, -0.1, 2/7, -3 in decreasing order.
0.3, 2/7, -0.1, -3, -920.7
Sort 0, 4, 2, 130.
0, 2, 4, 130
Sort -5.632, 4, -35 in ascending order.
-35, -5.632, 4
Put
|
{
"pile_set_name": "DM Mathematics"
}
|
2*l - 4*l + 45*l**2 + 62*l**2.
89*l**2
Collect the terms in -47*o + 91*o - 50*o**2 - 45*o + 30*o**2.
-20*o**2 - o
Collect the terms in -26*m + 34 - 4*m - 3 - 31 - 20*m.
-50*m
Collect the terms in 108848*b**3 - 54141*b**3 - 54371*b**3.
336*b**3
Collect the terms in 70 - 177 + 37 - 1645*q + 70.
-1645*q
Collect the terms in 4903 + 24*t**2 - 2*t + 65*t**2 - 4903.
89*t**2 - 2*t
Collect the terms in 1041 + 39 + 19780828234*p - 19780828236*p.
-2*p + 1080
Collect the terms in 599*c**2 - 263*c**2 - 100*c**2 - 235*c**2.
c**2
Collect the terms in -11525*b - 11387*b - 11520*b + 11*b**2 - 11519*b + 45951*b.
11*b**2
Collect the terms in -3421 - 3423 + 17043 - 3357 - 2*t**2 - 3418 - 3424.
-2*t**2
Collect the terms in 105*d**2 + 582021904*d - 582021904*d.
105*d**2
Collect the terms in -184*t**2 + 4 + 206*t - 28*t - 424*t**2.
-608*t**2 + 178*t + 4
Collect the terms in -240*g**3 + 145226*g - 145226*g.
-240*g**3
Collect the terms in -2*y**2 - 159 + 504 - 169 - 166 - 12*y.
-2*y**2 - 12*y + 10
Collect the terms in 3070*s**2 + 2080*s + 163*s**2 - 1040*s - 1040*s.
3233*s**2
Collect the terms in -59 + 177 - 2344*x**2 - 52 - 66.
-2344*x**2
Collect the terms in 44349 - 1002*s**2 - 44349.
-1002*s**2
Collect the terms in -11*j**2 + 7585 - 4951 - 2634.
-11*j**2
Collect the terms in -23*g + g**2 + 23*g + 206669*g**3 - g**2 - 206550*g**3.
119*g**3
Collect the terms in 16696*o - 7855*o - 8788*o.
53*o
Collect the terms in 18 - 28 + 1208*y + 75*y + 340*y + 12 + 5*y**2.
5*y**2 + 1623*y + 2
Collect the terms in -675*s**2 + 912*s**2 - 669*s**2 + 428*s**2.
-4*s**2
Collect the terms in -179 - 153 - 162 + 680 + 76*s**3 - 186.
76*s**3
Collect the terms in 2*x**2 - 2*x**2 + 254152*x**3 - 252256*x**3.
1896*x**3
Collect the terms in 7075*c**2 - 9824*c**3 + 9822*c**3 - 7075*c**2.
-2*c**3
Collect the terms in -4759*j - 4743*j + 18924*j - 4754*j - 4755*j.
-87*j
Collect the terms in -3948*q - 2287*q**2 + 1698*q**2 + 590*q**2 + 3948*q.
q**2
Collect the terms in 72396181*q**3 + 72395851*q**3 - 144792487*q**3.
-455*q**3
Collect the terms in 39*o**2 - 172 - 16*o**2 + 39*o**2 + o**3 - 62*o**2.
o**3 - 172
Collect the terms in 4872 - 2423 - 2290*t - 2449.
-2290*t
Collect the terms in -902*u**2 - 90 + 657*u**2 + 31 + 26 + 33.
-245*u**2
Collect the terms in -238463210*y + 119231372*y + 119231835*y.
-3*y
Collect the terms in -226 + 226 - 12620*c**2 + 12621*c**2.
c**2
Collect the terms in 98*y**2 - 115*y**2 + 32*y**2 + 83*y**3 - 15*y**2.
83*y**3
Collect the terms in -483*k**2 - 154*k - 1038*k + 488*k**2.
5*k**2 - 1192*k
Collect the terms in 17309*b**2 + 17306*b**2 - 86554*b**2 + 17311*b**2 + 17312*b**2 + 17313*b**2.
-3*b**2
Collect the terms in 75*k**2 - 196*k**2 + 43*k**2.
-78*k**2
Collect the terms in y**2 + 107 - y**2 - 207*y**3 + 243*y**3.
36*y**3 + 107
Collect the terms in -284 - 294 + 2*x**3 - 3*x**3 - 317 + 885.
-x**3 - 10
Collect the terms in 80*b**2 - 113*b**2 - 109*b**2 - 2122*b - 2124*b + 4248*b.
-142*b**2 + 2*b
Collect the terms in 715*c**2 + 671*c**2 + 15*c**2.
1401*c**2
Collect the terms in b**2 - 1094*b**2 + 1121*b**2.
28*b**2
Collect the terms in -785*m + 1279*m - 63*m**2 - 251*m - 243*m.
-63*m**2
Collect the terms in 3*l**2 + 791*l - 289*l - 289*l - 213*l.
3*l**2
Collect the terms in 166*a - 6*a - 4*a + 6*a - 4*a - 182*a.
-24*a
Collect the terms in 5*a - 451*a**2 + 15*a + 212 - 5*a + 904*a**2 - 455*a**2.
-2*a**2 + 15*a + 212
Collect the terms in 3*s**2 - 13399 + 1021 - 2*s**2.
s**2 - 12378
Collect the terms in -726*x + 2410*x - 1008*x + 1 - 1 - 750*x.
-74*x
Collect the terms in -230*o + 96*o - 649*o - 489*o + 193*o + 2.
-1079*o + 2
Collect the terms in 5740*q**3 - 73070*q - 17225*q**3 + 73070*q.
-11485*q**3
Collect the terms in -119*f + 119*f + 1136981*f**3 - 1136805*f**3.
176*f**3
Collect the terms in -112087*l + 12711*l**2 + 4335*l**2 + 112087*l.
17046*l**2
Collect the terms in 3653*i + 2 + 6 - 8 + 13103*i.
16756*i
Collect the terms in -3283*z + 637*z + 664*z + 656*z + 662*z + 665*z.
z
Collect the terms in 8*g**3 - 78905 + 78905 - 10*g**3.
-2*g**3
Collect the terms in -70934 + 141979 - 25*u - 71045.
-25*u
Collect the terms in 5575 - 44*k - 91*k - 20218 - 5945.
-135*k - 20588
Collect the terms in -4378*l**2 - 4381*l**2 - 4380*l**2 - 4222*l**2 + 17358*l**2.
-3*l**2
Collect the terms in -151*v**2 - 144*v**2 - 2*v**3 - 152*v**2 + 1381*v**2 - 790*v**2 - 144*v**2.
-2*v**3
Collect the terms in -2*s**3 + 987060 - 1797*s - 85*s - 987060.
-2*s**3 - 1882*s
Collect the terms in -88*d**2 - 15*d**2 + d**3 + 348*d**2 - 78*d**2 - 85*d**2 - 82*d**2.
d**3
Collect the terms in -169*d**3 + 82*d**3 + 449*d**3.
362*d**3
Collect the terms in -697 - 1305*z**2 + 697 + 1319*z**2.
14*z**2
Collect the terms in i**3 - 30*i**2 - 34*i**2 + 36*i**2 - 16*i**2.
i**3 - 44*i**2
Collect the terms in -4963*d**2 - 2573*d**2 - 6606*d**2.
-14142*d**2
Collect the terms in -30 + 59 - 29 - 7994*y + 7427*y.
-567*y
Collect the terms in 65*n + 249*n + 211*n + 67*n - 122*n.
470*n
Collect the terms in 13926*p**3 - 27862*p**3 + 13933*p**3.
-3*p**3
Collect the terms in 71*n**3 - 9*n**3 + 12*n**3 + 71*n**3 - 29*n**3 + 35*n**3.
151*n**3
Collect the terms in 862173 - 862173 - 4*l**2.
-4*l**2
Collect the terms in -18160 - 18485 + 36645 - 2*t**2.
-2*t**2
Collect the terms in -31*p**2 - 34 + 15*p**2 + 3*p - 3*p - 60*p**2.
-76*p**2 - 34
Collect the terms in -13238*x**2 - 13310*x**2 - 1687*x**3 + 26548*x**2.
-1687*x**3
Collect the terms in -73*s + 73*s + 494*s**3 + 405*s**3 - 152*s**3 + 520*s**3.
1267*s**3
Collect the terms in 409 + 7*k - 1886 + 469 + 439 + 423.
7*k - 146
Collect the terms in 2*f**2 - 4346 + 17316 - 4317 - 4325 - 4328.
2*f**2
Collect the terms in -132541 - 407838 - 9*u**3 + u + 132888.
-9*u**3 + u - 407491
Collect the terms in 107*a + 72*a - 15 - 102*a + 14 - 6.
77*a - 7
Collect the terms in -4*r - 36*r - 11*r - 9*r - 9924.
-60*r - 9924
Collect the terms in 2*o**2 + 11214281382 - 11214281382.
2*o**2
Collect the terms in -101 + 42 + 59 - 13850*w.
-13850*w
Collect the terms in -3237546*j - 3237535*j + 6475078*j.
-3*j
Collect the terms in -3*d**3 + 5175 - 1972 - 1256 - 1947.
-3*d**3
Collect the terms in -102733851*n**3 + 51366917*n**3 + 51366933*n**3.
-n**3
Collect the terms in -139*s**3 - 66*s**3 + 28*s**2 + 8*s**2 + 207*s**3.
2*s**3 + 36*s**2
Collect the terms in 108*d + 194*d - 717*d - 262*d - 310*d.
-987*d
Collect the terms in -3489*b + 1006*b + 1509*b + 2607*b.
1633*b
Collect the terms in 40 + 42 + 75 + 64 - 152 + 53*w.
53*w + 69
Collect the terms in 7*p**3 + 54179707 - 54179707.
7*p**3
Collect the terms in 3742369*x**3 + 3742366*x**3 - 14969464*x**3 + 3742364*x**3 + 3742366*x**3.
x**3
Collect the terms in 120 - 1161*o + 1163*o + 455.
2*o + 575
Collect the terms in -2*l - 213 - 206 - 204 + 613.
-2*l - 10
Collect the terms in t**2 + 3*t**2 + 425468*t - 212739*t - 212729*t.
4*t**2
Collect the terms in 2*r**2 - 631 - 4*r - 5*r**2 + 0*r**2 + 791.
-3*r**2 - 4*r + 160
Collect the terms in 6*t**2 - 481*t**3 - 315*t**3 - 6*t**2 + 1131*t**3 - 347*t**3.
-12*t**3
Collect the terms in 53*w - 6*w - 2*w - 125*w - 34*w + 4.
-114*w + 4
Collect the terms in 700*d - 2756*d**2 + 1112*d**2 + 1646*d**2.
2*d**2 + 700*d
Collect the terms in -190*v**3 + 68571 - 137207 + 68636.
-190*v**3
Collect the terms in 180 - 180 - 132*u**2 - 9*u**2 + 6*u**2 + 21*u**2.
-114*u**2
Collect the terms in 134*n - 588*n + 138*n + 140*n + 171*n.
-5*n
Collect the terms in -180 - 177 - 6081*s - 172 + 529.
-6081*s
Collect the terms in 545064*m**3 - 3*m + 2*m + 218828*m**3 - 3*m.
763892*m**3 - 4*m
Collect the terms in -k + 517 - 792*k**3 - 516 - 607*k**3.
-1399*k**3 - k + 1
Collect the terms in 10 + 3 - 2378*k - 1120*k.
-3498*k + 13
Collect the terms in -979*p**2 + p - 1017*p**2 + 2099*p**2.
103*p**2 + p
Collect the terms in 30376*n**2 + 65208*n**2 + 151*n - 151*n.
95584*n**2
Collect the terms in -161*m - 47063 + 94093 - 47030.
-161*m
Collect the terms in -1036 - 1070 + 3084 - 1066 - 4*s**3.
-4*s**3 - 88
Collect the terms in l - l - 11794740*l**3 + 11794735*l**3.
-5*l**3
Collect the terms in -4 + 431506*q + 4 - 18084*q.
413422*q
Collect the terms in -359*h**2 + 179*h + 82*h**2 - 24*h**2.
-301*h**2 + 179*h
Collect the terms in -14*i**2 - 10*i**2 - 9*i**2 + 94*i**2 - 66*i**2.
-5*i**2
Collect the terms in -6141 + 6139 - 1012*y + 3008*y - 2*y**2.
-2*y**2 + 1996*y - 2
C
|
{
"pile_set_name": "DM Mathematics"
}
|
he power of 1/3, to the nearest integer?
16
What is 602 to the power of 1/3, to the nearest integer?
8
What is 4285 to the power of 1/3, to the nearest integer?
16
What is the square root of 53736 to the nearest integer?
232
What is 2054 to the power of 1/3, to the nearest integer?
13
What is the cube root of 3795 to the nearest integer?
16
What is 33845 to the power of 1/3, to the nearest integer?
32
What is 100080 to the power of 1/2, to the nearest integer?
316
What is 148 to the power of 1/3, to the nearest integer?
5
What is the sixth root of 449 to the nearest integer?
3
What is 33828 to the power of 1/10, to the nearest integer?
3
What is 1125 to the power of 1/2, to the nearest integer?
34
What is the cube root of 66912 to the nearest integer?
41
What is 84 to the power of 1/2, to the nearest integer?
9
What is the square root of 2962 to the nearest integer?
54
What is the square root of 80102 to the nearest integer?
283
What is the fourth root of 4117 to the nearest integer?
8
What is 10901 to the power of 1/6, to the nearest integer?
5
What is 23535 to the power of 1/9, to the nearest integer?
3
What is the tenth root of 1996 to the nearest integer?
2
What is the third root of 4813 to the nearest integer?
17
What is 349 to the power of 1/10, to the nearest integer?
2
What is the seventh root of 28920 to the nearest integer?
4
What is the cube root of 4508 to the nearest integer?
17
What is 90 to the power of 1/2, to the nearest integer?
9
What is the square root of 2263 to the nearest integer?
48
What is 96861 to the power of 1/2, to the nearest integer?
311
What is the square root of 155 to the nearest integer?
12
What is the square root of 33436 to the nearest integer?
183
What is the sixth root of 5270 to the nearest integer?
4
What is the third root of 1357 to the nearest integer?
11
What is the eighth root of 20176 to the nearest integer?
3
What is 27419 to the power of 1/2, to the nearest integer?
166
What is 95959 to the power of 1/2, to the nearest integer?
310
What is 4079 to the power of 1/9, to the nearest integer?
3
What is the cube root of 480 to the nearest integer?
8
What is 520 to the power of 1/7, to the nearest integer?
2
What is the third root of 6186 to the nearest integer?
18
What is 67085 to the power of 1/3, to the nearest integer?
41
What is the cube root of 61546 to the nearest integer?
39
What is the square root of 10970 to the nearest integer?
105
What is the square root of 2799 to the nearest integer?
53
What is 32901 to the power of 1/2, to the nearest integer?
181
What is 626 to the power of 1/3, to the nearest integer?
9
What is 33597 to the power of 1/4, to the nearest integer?
14
What is the third root of 3511 to the nearest integer?
15
What is 18940 to the power of 1/5, to the nearest integer?
7
What is the ninth root of 1839 to the nearest integer?
2
What is the cube root of 74 to the nearest integer?
4
What is 347 to the power of 1/2, to the nearest integer?
19
What is the square root of 30149 to the nearest integer?
174
What is the tenth root of 1740 to the nearest integer?
2
What is 16210 to the power of 1/5, to the nearest integer?
7
What is 4087 to the power of 1/2, to the nearest integer?
64
What is 7473 to the power of 1/2, to the nearest integer?
86
What is the square root of 9311 to the nearest integer?
96
What is the cube root of 5563 to the nearest integer?
18
What is 1250 to the power of 1/2, to the nearest integer?
35
What is 1083 to the power of 1/3, to the nearest integer?
10
What is the cube root of 1718 to the nearest integer?
12
What is the fourth root of 16524 to the nearest integer?
11
What is the square root of 537 to the nearest integer?
23
What is the eighth root of 122328 to the nearest integer?
4
What is 15411 to the power of 1/3, to the nearest integer?
25
What is the ninth root of 123 to the nearest integer?
2
What is the square root of 65876 to the nearest integer?
257
What is 2946 to the power of 1/2, to the nearest integer?
54
What is the seventh root of 20658 to the nearest integer?
4
What is the sixth root of 213 to the nearest integer?
2
What is 7369 to the power of 1/2, to the nearest integer?
86
What is 83121 to the power of 1/2, to the nearest integer?
288
What is 2468 to the power of 1/4, to the nearest integer?
7
What is 18260 to the power of 1/2, to the nearest integer?
135
What is the ninth root of 13361 to the nearest integer?
3
What is the cube root of 24832 to the nearest integer?
29
What is 39836 to the power of 1/10, to the nearest integer?
3
What is the square root of 58239 to the nearest integer?
241
What is the cube root of 3257 to the nearest integer?
15
What is the square root of 2172 to the nearest integer?
47
What is the cube root of 10503 to the nearest integer?
22
What is 8059 to the power of 1/2, to the nearest integer?
90
What is the third root of 104100 to the nearest integer?
47
What is the tenth root of 3420 to the nearest integer?
2
What is the square root of 1157 to the nearest integer?
34
What is 3138 to the power of 1/2, to the nearest integer?
56
What is the fourth root of 749 to the nearest integer?
5
What is the third root of 26 to the nearest integer?
3
What is the fifth root of 23653 to the nearest integer?
7
What is 13471 to the power of 1/8, to the nearest integer?
3
What is the third root of 12158 to the nearest integer?
23
What is 81258 to the power of 1/5, to the nearest integer?
10
What is 7652 to the power of 1/8, to the nearest integer?
3
What is the third root of 51599 to the nearest integer?
37
What is 818 to the power of 1/2, to the nearest integer?
29
What is 88966 to the power of 1/9, to the nearest integer?
4
What is the cube root of 12288 to the nearest integer?
23
What is the square root of 1935 to the nearest integer?
44
What is 2223 to the power of 1/3, to the nearest integer?
13
What is 623 to the power of 1/3, to the nearest integer?
9
What is 7226 to the power of 1/2, to the nearest integer?
85
What is the square root of 11211 to the nearest integer?
106
What is the cube root of 29431 to the nearest integer?
31
What is 32337 to the power of 1/3, to the nearest integer?
32
What is 21366 to the power of 1/9, to the nearest integer?
3
What is the cube root of 24856 to the nearest integer?
29
What is the third root of 2141 to the nearest integer?
13
What is the third root of 4217 to the nearest integer?
16
What is the square root of 2875 to the nearest integer?
54
What is the square root of 1121 to the nearest integer?
33
What is the square root of 9065 to the nearest integer?
95
What is the third root of 437 to the nearest integer?
8
What is 4196 to the power of 1/2, to the nearest integer?
65
What is the cube root of 974 to the nearest integer?
10
What is 91036 to the power of 1/8, to the nearest integer?
4
What is 1072 to the power of 1/7, to the nearest integer?
3
What is 7898 to the power of 1/3, to the nearest integer?
20
What is 1045 to the power of 1/2, to the nearest integer?
32
What is the eighth root of 710 to the nearest integer?
2
What is the third root of 752 to the nearest integer?
9
What is the square root of 29292 to the nearest integer?
171
What is the cube root of 1003 to the nearest integer?
10
What is the fourth root of 9419 to the nearest integer?
10
What is 2256 to the power of 1/2, to the nearest integer?
47
What is 1621 to the power of 1/10, to the nearest integer?
2
What is 54775 to the power of 1/2, to the nearest integer?
234
What is 463 to the power of 1/4, to the nearest integer?
5
What is the square root of 9049 to the nearest integer?
95
What is the cube root of 5197 to the nearest integer?
17
What is the square root of 20941 to the nearest integer?
145
What is the square root of 4024 to the nearest integer?
63
What is 3636 to the power of 1/9, to the nearest integer?
2
What is the eighth root of 12575 to the nearest integer?
3
What is the fourth root of 165972 to the nearest integer?
20
What is 9283 to the power of 1/2, to the nearest integer?
96
What is 2605 to the power of 1/4, to the nearest integer?
7
What is the seventh root of 9315 to the nearest integer?
4
What is the square root of 3008 to the nearest integer?
55
What is the eighth root of 6595 to the nearest integer?
3
|
{
"pile_set_name": "DM Mathematics"
}
|
)*-5 - (5 + sqrt(208))))**2.
288*sqrt(13) + 7524
Simplify -5*((sqrt(320) + -1)*-3 - (sqrt(40) - sqrt(240)/(sqrt(6)*-1))/sqrt(8))**2.
-16945 + 780*sqrt(5)
Simplify (sqrt(686)*-4*-3)/(3*sqrt(72)*-6).
-7*sqrt(7)/9
Simplify (2*sqrt(2)*-5 - (sqrt(2) - -2*sqrt(2))*5)**2 - ((-1*sqrt(8))/sqrt(4) - (sqrt(72) + 5)).
7*sqrt(2) + 1255
Simplify 6*((2*sqrt(396) - -5*1*sqrt(11))**2 - 3*sqrt(1584)*2).
-432*sqrt(11) + 19074
Simplify ((sqrt(26) - (sqrt(26) + (sqrt(26) - sqrt(26)*-1)))*-1 + sqrt(26))/(sqrt(162)*-4).
-sqrt(13)/12
Simplify (((sqrt(1053)*1*-4)**2 - 3*(sqrt(1053) + -1)**2) + 2)*4*-6.
-328512 - 1296*sqrt(13)
Simplify (1 + 1*sqrt(114)/((sqrt(66)*1)/sqrt(11)))**2.
2*sqrt(19) + 20
Simplify (((sqrt(162)*-1 - sqrt(162)) + sqrt(162) + 3)*5)**2.
-1350*sqrt(2) + 4275
Simplify (-1 + sqrt(1900) + sqrt(1900) + -2 + 5 + 4)**2.
240*sqrt(19) + 7636
Simplify -4 + (-2*sqrt(294) - sqrt(72)/(sqrt(36)/sqrt(3)))/(sqrt(10)/(sqrt(10)/sqrt(2)*3)).
-45*sqrt(3) - 4
Simplify (4*(sqrt(1900) - sqrt(1900)*-3)*5 + 5 + 3)**2 + -5.
12800*sqrt(19) + 12160059
Simplify 3 + (sqrt(176)/(sqrt(4) + (sqrt(4) - sqrt(44)/sqrt(99))))**2 + 2 + 0.
521/25
Simplify (-2 + (sqrt(1152) - (1 + sqrt(1152))) - (sqrt(1152) - (sqrt(1152) - (sqrt(1152)*-1 - sqrt(1152))))*4)**2 - 2*-2*(sqrt(1152) + 0).
-1056*sqrt(2) + 73737
Simplify (((sqrt(13) - (2 + sqrt(13) - sqrt(13))*6) + -2 - -1*(-1 + sqrt(52)/sqrt(4))) + 2)**2.
-52*sqrt(13) + 221
Simplify ((sqrt(832) + -4 + -1*sqrt(832) + sqrt(832))*-3)**2 + -4.
-576*sqrt(13) + 7628
Simplify (sqrt(2106)*-2 + sqrt(234)/(sqrt(9)*2))/(2*sqrt(200) - sqrt(200) - 5*(sqrt(8) - sqrt(2))).
-7*sqrt(13)/2
Simplify (2*sqrt(76)*-1 + (sqrt(76) - sqrt(76)*1) + -4 + -5)**2.
72*sqrt(19) + 385
Simplify ((-2*sqrt(2057)*4)**2 + sqrt(2057) - sqrt(2057)) + (6*(sqrt(2057) + 0))**2 + -1.
205699
Simplify -3*((-1*sqrt(132)*4)/sqrt(12)*-4)**2.
-8448
Simplify ((sqrt(420) - 5*1*sqrt(420))/sqrt(7))/((-1*sqrt(432))/sqrt(4)).
4*sqrt(5)/3
Simplify 3*(-5 + (sqrt(128) - (3 + sqrt(128) + -5))).
-9
Simplify (1*(sqrt(102)*-1 + sqrt(102))*4)/(-1*(sqrt(216) - 2*sqrt(216))).
0
Simplify -4 + sqrt(1539) + (sqrt(1539) + 4)**2 + sqrt(1539) - (-3 + 1 + sqrt(1539))**2.
8 + 126*sqrt(19)
Simplify sqrt(30)/(((sqrt(66)*-2 - sqrt(66)) + sqrt(66))/sqrt(11)) + ((sqrt(605) + (sqrt(605) - sqrt(605)*4) + sqrt(605))**2 + 3 - sqrt(605)).
-23*sqrt(5)/2 + 608
Simplify 3 + sqrt(630)/(sqrt(10) - -2*sqrt(60)/sqrt(6)).
sqrt(7) + 3
Simplify ((-5*(sqrt(190)*1 - sqrt(190))*2)/(sqrt(110)/(sqrt(44)/sqrt(4))*3))**2.
0
Simplify 5*(-1 + (sqrt(1053) - sqrt(1053)*1))*4*5*3.
-300
Simplify (sqrt(132) + (2*sqrt(132) - sqrt(132))*-2 + sqrt(132) + sqrt(132) + -3*(sqrt(132) - (sqrt(132)*-2 + sqrt(132))) + sqrt(132))/(sqrt(84)/(3*sqrt(343))).
-84*sqrt(11)
Simplify -2 + -4*((sqrt(363)*1)**2 + 1 + -1*sqrt(3) + -1) + 0.
-1454 + 4*sqrt(3)
Simplify (-1*(0 + sqrt(99)) - (sqrt(99) + (2*2*sqrt(99) + sqrt(99) + sqrt(99) - sqrt(99))))**2*-3 + 4.
-14549
Simplify (sqrt(187) - (-4*-3*sqrt(187) + sqrt(187)))/sqrt(11) - ((-1*sqrt(17))**2*-3 + -4).
-12*sqrt(17) + 55
Simplify (-3*sqrt(5))**2 + 3 + (3*sqrt(605))**2 - ((sqrt(10)/(sqrt(4)/sqrt(2)))**2 - (sqrt(330)/sqrt(6) - sqrt(55))/sqrt(11)).
5488
Simplify (1*sqrt(204)*-2 - -6*(sqrt(204) - (sqrt(204) + (sqrt(204) - 2*sqrt(204))) - sqrt(204)))/(sqrt(72)/(sqrt(60)/(-2*sqrt(10)))).
sqrt(17)
Simplify -2*((1*sqrt(76) + sqrt(76))/sqrt(4) + sqrt(19) + sqrt(608)/sqrt(2) + 5 + sqrt(38)/sqrt(2) + sqrt(57)/sqrt(3) + 2)**2.
-3176 - 252*sqrt(19)
Simplify 6*((sqrt(180)/sqrt(3))/sqrt(4) - sqrt(15))/(6*sqrt(45)).
0
Simplify ((-2*(sqrt(95) - 4*(sqrt(95)*2 + sqrt(95))))/(4*sqrt(20) + sqrt(5) + 5*sqrt(80)))**2.
9196/841
Simplify 5 + 4 + (sqrt(76) + -5*sqrt(76)*-2)/(1*(sqrt(4) + sqrt(12)/sqrt(3) - sqrt(4)) + sqrt(4)).
9 + 11*sqrt(19)/2
Simplify (5 + -6*(sqrt(720) - (0 + -1*sqrt(720) + sqrt(720)) - (4 + sqrt(720)*-2)) + -3)**2.
-11232*sqrt(5) + 233956
Simplify (((3*(-1*sqrt(80) + sqrt(80)) + sqrt(80) - sqrt(80))/sqrt(4))/(4*sqrt(400)*2))**2.
0
Simplify -1 + ((1 + sqrt(396))*4)**2 + -4 + sqrt(11) + 1 + -2 + 3.
193*sqrt(11) + 6349
Simplify -1*(sqrt(19) - (3 + sqrt(19) + -4) - (5 + (sqrt(19) + -2)**2)).
-4*sqrt(19) + 27
Simplify ((1*(sqrt(5) + sqrt(180)) - (sqrt(180) + -1)) + -1)**2.
5
Simplify 3*(sqrt(13) + -3 + sqrt(325) + -1)**2*3.
-432*sqrt(13) + 4356
Simplify ((sqrt(1134) + 5*sqrt(1134)*-2)/(6*sqrt(162)*3))**2.
7/4
Simplify (sqrt(49) + sqrt(4900)*-6 + sqrt(4900) + sqrt(49))/(sqrt(252)*6 + sqrt(252)).
-8*sqrt(7)/7
Simplify (sqrt(76)*1 + -1)**2*-1 + 4.
-73 + 4*sqrt(19)
Simplify 2 + 1 + sqrt(605) + ((sqrt(605) + 1)*6)**2 - (4 + (3*(1 + sqrt(605) - sqrt(605)))**2).
803*sqrt(5) + 21806
Simplify -2*(sqrt(21)/sqrt(7) + 3 + (sqrt(108) - (sqrt(108) + -1)))**2 + -1.
-39 - 16*sqrt(3)
Simplify ((-4 + sqrt(1872)*-2)*2*-6 + -4)**2.
25344*sqrt(13) + 1080208
Simplify 4 + ((sqrt(76) - 1*sqrt(76))*5)/(sqrt(176)/sqrt(11)).
4
Simplify ((sqrt(50)/sqrt(10) + 5)*2*2)**2 + -4.
160*sqrt(5) + 476
Simplify (1*sqrt(605))**2 + sqrt(5) + sqrt(15)/sqrt(3) + 3 - (sqrt(605) + 1*(sqrt(605) + -1))*4.
-86*sqrt(5) + 612
Simplify -3 + ((-1 + sqrt(539) - sqrt(539)) + -2 - sqrt(539)) + (4*sqrt(539) + sqrt(539))*3 + sqrt(539).
-6 + 105*sqrt(11)
Simplify (-1 + -6*(1 + sqrt(1300) + 1))**2.
1560*sqrt(13) + 46969
Simplify (-5 + -5 + sqrt(25)/sqrt(5) + sqrt(5)*-2 + -5)**2.
30*sqrt(5) + 230
Simplify -3 + sqrt(2) + (((sqrt(200) + -1 - sqrt(200)) + sqrt(200) + sqrt(200))**2 - sqrt(200)) + (sqrt(8) - sqrt(48)/sqrt(6)).
-49*sqrt(2) + 798
Simplify (2 + (sqrt(637) - (sqrt(637)*1*-3 - sqrt(637) - sqrt(637)) - (sqrt(637) + -1 + sqrt(637) + -3)))**2*5.
1680*sqrt(13) + 51140
Simplify (((1 + sqrt(700) + 4 - -2*(sqrt(700) + 1)) + -5)*2 + -4)**2.
25200
Simplify ((sqrt(104)*4)/sqrt(8) + 5 + (3*sqrt(156)*3)/sqrt(12))**2.
130*sqrt(13) + 2222
Simplify -4 + -1*(sqrt(425) + 0)**2 - (sqrt(425) + sqrt(425)*2*-1 + (sqrt(425)*2 + 5 - sqrt(425))).
-434
Simplify -2 + 6*(-3*(sqrt(153) + -1 + sqrt(153)) - ((4*(sqrt(153) + 0))**2 - sqrt(153))).
-14672 - 90*sqrt(17)
Simplify sqrt(10)/(-1*sqrt(200) + sqrt(2))*6 + 3.
-2*sqrt(5)/3 + 3
Simplify 3 + ((-6*sqrt(99) + 5)**2 - (sqrt(99)/(-1*sqrt(9)*-4))**2).
-180*sqrt(11) + 57461/16
Simplify (6*(sqrt(77) + sqrt(77)*2*2)/(sqrt(84)/(sqrt(96)/sqrt(8))) + 4)**2.
240*sqrt(11) + 9916
Simplify 1 + sqrt(200) + 0 + sqrt(200) + (6*(sqrt(128) - (sqrt(128) + (-2 + sqrt(128) - sqrt(128) - sqrt(128)) + sqrt(128) + sqrt(128))**2) - sqrt(128)).
-3095 + 444*sqrt(2)
Simplify sqrt(1377)*-2 + sqrt(1377) + (sqrt(17) + sqrt(2057)*2)**2 - (((sqrt(34) + 3*sqrt(34))/sqrt(2))**2 - sqrt(612)*6).
27*sqrt(17) + 8721
Simplify sqrt(5) + (-1*sqrt(405))**2 + sqrt(405) + -2 - (2*(1 + sqrt(80)) - sqrt(80)).
6*sqrt(5) + 401
Simplify (sqrt(12) + sqrt(1200) + -1*sqrt(1200) + (sqrt(12) + sqrt(12)*-1)*-2)/(sqrt(196) - (sqrt(196) + 2*sqrt(196)*3)).
-sqrt(3)/42
Simplify (sqrt(96)/sqrt(3) - (1 + sqrt(2) + 0))**2 + sqrt(2) + ((sqrt(242)*-3)**2 - sqrt(242)) + ((sqrt(8)*1 - sqrt(8))/sqrt(4))**2.
-16*sqrt(2) + 2197
Simplify (-6*(5 + 2 + sqrt(99) + 3*sqrt(99) + -1)*-4)**2.
82944*sqrt(11) + 933120
Simplify ((-1*-4*sqrt(128) - 5*sqrt(128)*-3) + -2)**2 + 0.
-608*sqrt(2) + 46212
Simplify (sqrt(2448) + (sqrt(2448)*-2)**2 + 4 - (sqrt(17)*-2 + 5 - sqrt(153)*-3)**2)*-3.
-26814 + 174*sqrt(17)
Simplify -5*sqrt(22)/(1*sqrt(32) + sqrt(32))*-5.
25*sqrt(11)/8
Simplify (5*(sqrt(76)/sqrt(2) + sqrt(38)) - (sqrt(5472) + -2*sqrt(5472) + sqrt(5472) + sqrt(5472)))/(-6*sqrt(32) - (sqrt(162)*-1 - sqrt(162))).
sqrt(19)/3
Simplify -2*((sqrt(539) + 3*sqrt(539) + 3)**2 + -1) + 4.
-17260 - 336*sqrt(11)
Simplify (2*sqrt(132)*-5 + (-5*(sqrt(132) + sqrt(132)*-1) - sqrt(132)))/(-5*sqrt(192) + (sqrt(24)/sqrt(2) + sqrt(12))*5).
11*sqrt(11)/10
Simplify ((-5*1*sqrt(143) - -4*((-2*sqrt(143) - sqrt(143)) + sqrt(143)))/((6*(sqrt(11) + -1*sqrt(11)) - sqrt(11)) + (-2*sqrt(132))/sqrt(12)))**2.
2197/9
Simplify ((-3*sqrt(875))/(sqrt(25)/(-1*sqrt(5))) + -2)**2.
-60*sqrt(7) + 1579
Simplify (((1*sqrt(75))**2 + 3 - (4 + sqrt(75)*-2 - sqrt(75))) + 4 + sqrt(75) + (sqrt(75) + 0)*6)*-2.
-100*sqrt(3) - 156
Simplify (sqrt(108) + (sqrt(108)*-4 - sqrt(108)) + sqrt(108))/sqrt(6) - sqrt(22)/((sqrt(22) - sqrt(88))/sqrt(2)).
-8*sqrt(2)
Simplify (-2*sqrt(85)*4 - 4*sqrt(85)*1)/(sqrt(15)/sqrt(48)*6).
-8*sqrt(17)
Simplify 2*((sqrt(68) - (1 + (sqrt(68) - (-1 + sqrt(68)))*
|
{
"pile_set_name": "DM Mathematics"
}
|
48 and 6?
4511448
Calculate the common denominator of -77/96017090 and -7/64441.
96017090
Calculate the common denominator of -49/3100284 and 40/5425497.
21701988
Find the common denominator of 7/39 and 98/132165.
1718145
Calculate the smallest common multiple of 2734764 and 1396.
2734764
Find the common denominator of 50/301 and 20/692009.
208294709
Calculate the smallest common multiple of 129303 and 233712.
1119246768
What is the lowest common multiple of 21040 and 1956720?
1956720
Calculate the common denominator of 99/53260672 and 25/72656.
1011952768
What is the common denominator of -2/43907 and 47/902957?
20768011
What is the smallest common multiple of 172530 and 19840950?
19840950
Calculate the common denominator of 89/6127390 and 31/17156692.
85783460
Calculate the common denominator of 73/1078 and -71/647782.
349154498
Find the common denominator of 55/5554156 and -73/584648.
11108312
Calculate the lowest common multiple of 24992416 and 48.
74977248
Find the common denominator of 14/289959 and 79/69597.
354039939
What is the least common multiple of 240 and 180762?
7230480
What is the smallest common multiple of 58625 and 4547625?
31833375
What is the least common multiple of 4440 and 33658308?
336583080
Calculate the lowest common multiple of 11999904 and 7840.
59999520
Find the common denominator of -41/1085122 and -54/12355.
37979270
What is the common denominator of 48/7 and -91/516431562?
3615020934
What is the least common multiple of 14571558 and 8418?
14571558
What is the smallest common multiple of 1107 and 25119936?
1029917376
What is the least common multiple of 1348872 and 5952930?
1166774280
Calculate the common denominator of -26/209 and -33/20953352.
230486872
What is the least common multiple of 516108 and 264?
11354376
Calculate the least common multiple of 8168725 and 225.
73518525
What is the common denominator of 109/330 and -37/313550?
10347150
Calculate the common denominator of 19/7504156 and -77/4434274.
97554028
Find the common denominator of -13/45811197 and -23/15270399.
45811197
Calculate the common denominator of 45/189028 and 49/258.
567084
Calculate the common denominator of -49/13357 and 129/64290490.
2378748130
What is the common denominator of 58/26115845 and -11/18654175?
130579225
What is the lowest common multiple of 592118 and 2529256?
968705048
Calculate the smallest common multiple of 70950 and 1591.
2625150
Find the common denominator of -23/133194 and 11/262.
17448414
What is the smallest common multiple of 944872 and 17076?
2834616
What is the smallest common multiple of 1856931 and 6396?
96560412
What is the lowest common multiple of 1326 and 3162?
41106
What is the smallest common multiple of 2450408 and 4288214?
17152856
Find the common denominator of 34/87 and -91/7519320.
218060280
What is the common denominator of 49/153872 and -55/27196876?
108787504
What is the common denominator of 3/591557 and 41/404?
2366228
Calculate the common denominator of -151/2068188 and -179/180.
31022820
What is the least common multiple of 43340 and 13955480?
13955480
What is the lowest common multiple of 90938 and 820?
909380
What is the common denominator of 127/258 and 35/107712?
4631616
Find the common denominator of -53/7735212 and 59/29221912.
262997208
Calculate the least common multiple of 1875980 and 6378332.
31891660
Calculate the smallest common multiple of 4095 and 697515.
2092545
Calculate the smallest common multiple of 2447264 and 341.
26919904
What is the common denominator of -39/220970 and 15/8639927?
86399270
Calculate the smallest common multiple of 25 and 12090285.
60451425
Find the common denominator of -55/10295784 and 75/8.
10295784
What is the common denominator of 43/5700371 and -37/4952?
45602968
What is the common denominator of -97/3835840 and 39/659285?
42194240
Calculate the common denominator of 41/180530 and 44/35.
180530
What is the lowest common multiple of 476480 and 41692?
3335360
What is the least common multiple of 78197875 and 238?
156395750
Calculate the lowest common multiple of 1034380 and 231.
238941780
Calculate the lowest common multiple of 19806 and 13641.
90057882
What is the least common multiple of 3112800 and 1700?
52917600
Calculate the lowest common multiple of 142368 and 3843936.
3843936
What is the lowest common multiple of 264 and 17555220?
386214840
What is the lowest common multiple of 314009205 and 11?
3454101255
What is the lowest common multiple of 10359 and 1650534?
4951602
Calculate the common denominator of -25/27618 and -74/201.
1850406
Calculate the common denominator of 47/11002186 and 37/1744249.
143028418
What is the common denominator of -81/2757620 and -13/6?
8272860
Calculate the common denominator of -1/4817548 and 53/860.
24087740
Calculate the common denominator of -19/749886 and -87/922.
345697446
Calculate the smallest common multiple of 22307376 and 965223.
200766384
Calculate the common denominator of -39/100690 and 151/1320.
13291080
What is the smallest common multiple of 486 and 21028032?
189252288
What is the least common multiple of 12733 and 852453?
1550612007
Calculate the lowest common multiple of 4640 and 1032720.
59897760
What is the lowest common multiple of 378 and 220134?
13868442
Calculate the common denominator of 34/17679905 and -1/53039715.
53039715
What is the common denominator of 59/5021832 and 115/84?
35152824
Find the common denominator of 66/20517875 and 67/223750.
205178750
What is the common denominator of -59/110272140 and -7/684420?
1874626380
What is the lowest common multiple of 88238400 and 128681?
617668800
What is the least common multiple of 260919 and 185252490?
185252490
What is the common denominator of 139/2826 and -61/331920?
52111440
Calculate the least common multiple of 22129338 and 228.
44258676
What is the common denominator of -3/7765 and -64/6965?
10816645
What is the common denominator of 89/2944788 and -53/283668?
904049916
What is the least common multiple of 14 and 17248216?
120737512
Calculate the smallest common multiple of 4368 and 770432.
16179072
What is the smallest common multiple of 81 and 4104162?
12312486
Calculate the least common multiple of 2238 and 67176.
25056648
Calculate the smallest common multiple of 3042 and 58971.
59796594
Find the common denominator of 55/1021692 and -85/1668.
142015188
What is the lowest common multiple of 9 and 14871112?
133840008
Calculate the common denominator of -71/8456 and 73/35986622.
143946488
Calculate the common denominator of 14/2545971 and -61/898578.
15275826
Find the common denominator of -50/636489 and -65/69.
14639247
What is the least common multiple of 107920 and 66030?
10036560
Calculate the smallest common multiple of 5 and 37333559.
186667795
Calculate the lowest common multiple of 5211 and 5878008.
5878008
What is the common denominator of 53/4978834 and 23/14658?
14936502
What is the common denominator of 1/68 and 41/1729359?
6917436
What is the lowest common multiple of 33 and 98241192?
1080653112
What is the smallest common multiple of 612560 and 32240?
612560
What is the common denominator of 59/1655812 and 97/435740?
8279060
What is the smallest common multiple of 3060756 and 425105?
15303780
Calculate the smallest common multiple of 168872 and 489345.
43062360
Find the common denominator of -67/16476634 and -79/8.
65906536
Find the common denominator of 45/11304692 and -15/82516.
11304692
Calculate the smallest common multiple of 1666 and 77080822.
77080822
Calculate the least common multiple of 6797160 and 178425450.
713701800
What is the smallest common multiple of 166675012 and 32?
1333400096
What is the smallest common multiple of 2380 and 9181326?
91813260
What is the least common multiple of 140 and 1414476?
7072380
Find the common denominator of -117/2866000 and 41/13112.
4697374000
Find the common denominator of -27/10549 and 59/194010495.
2134115445
What is the smallest common multiple of 43395 and 15515?
134654685
Calculate the common denominator of -75/638 and 33/611668.
6728348
Find the common denominator of 37/36274086 and 11/9.
36274086
What is the lowest common multiple of 2364780 and 8?
4729560
Calculate the lowest common multiple of 346531 and 2079186.
2079186
What is the smallest common
|
{
"pile_set_name": "DM Mathematics"
}
|
886 - p**4 in the form m*p**3 + z*p + b*p**4 + j*p**2 + t and give t.
1033
Rearrange (-4321 - 7937 - 1929 + 2064)*((-5 + 3 + 0)*(-7*j + 3*j + j) + 3*j + j - 2*j) to the form g + t*j and give t.
-96984
Rearrange 3 + 204*k**3 - 217*k**3 - k + 2*k**2 - 9 to y*k + f + w*k**3 + c*k**2 and give w.
-13
Rearrange -49*f**3 + 49*f**3 - 18*f - 18*f**3 to the form g*f**3 + z + o*f**2 + s*f and give s.
-18
Express -5*n**2 - 19*n - 18*n - 11*n + 47*n + 4*n**2 + 814 in the form h*n + o*n**2 + d and give h.
-1
Rearrange 23150 + 3148*f - 23150 to the form p*f + h and give p.
3148
Rearrange 28*i**3 - 44*i - 6 + i**3 + 6 - 84*i**4 + 43*i to t + c*i**3 + p*i + m*i**2 + z*i**4 and give c.
29
Express (-4 + k + 4)*(-174847 + 174847 - 4412*k) as g*k + r + b*k**2 and give r.
0
Rearrange -2774801*k**4 - 3*k**3 - 3*k + 2774765*k**4 + 2*k**3 to i*k**4 + l*k**3 + s*k**2 + x*k + j and give x.
-3
Rearrange 52 + 769 + 45 + a + 107 to y + g*a and give g.
1
Express 40*v**4 - 62*v**4 + 6*v**2 + v**3 - 8*v**2 + 398 + 33*v**4 as o*v + r*v**2 + m*v**4 + p + x*v**3 and give m.
11
Express -17*c**4 - 3008*c**3 + 8*c + 3007*c**3 - 4 + 16*c**4 + 10*c**2 in the form a*c**2 + n*c**3 + w + h*c + j*c**4 and give w.
-4
Rearrange 3*g**3 + 29 + 12356946*g**2 - 2*g**3 - 8*g**4 - 12356949*g**2 to l*g**4 + c*g + n*g**3 + j + i*g**2 and give c.
0
Rearrange (-4*k**3 + 0 + 2*k**3 + 1)*(235354 - 235354 + 37071*k) to o + j*k**2 + c*k + s*k**3 + t*k**4 and give c.
37071
Express (-3283*n + 6 - 3 + 3292*n)*(-2*n - 2*n - n + (4*n + n - 3*n)*(0 - 1 + 3) + 0*n + 6*n - 5*n + 0*n - 3*n + n) as t*n**2 + f + i*n and give i.
-6
Rearrange (-278 + 278 - 24*n)*(-2 + 3 - 3) + 2*n + 3*n - 4*n + 0*n + 0*n + n + (2*n - 4*n + n)*(1 - 4 + 1) - 3*n + 1 - 1 to the form j + z*n and give z.
49
Express 0*t - 8*t + 5 - 6 + (2 + 1 - 1)*(0*t - 2*t + t) - 1 + t + 1 + 4*t - 2*t - 3*t - 3*t + 0*t - 5*t as d*t + n and give d.
-18
Rearrange 2 + 240*r**2 - 94*r**2 - 2*r + 3*r**3 - 76*r**2 - 1250*r**4 - 69*r**2 to the form x*r**2 + m*r**4 + h + c*r + a*r**3 and give c.
-2
Express -3 - 75*v**2 - v + 13515*v**3 - 26*v**2 - 13507*v**3 as r*v + q + g*v**2 + j*v**3 and give g.
-101
Rearrange 4938*q + 1766*q + 1137*q to d*q + r and give d.
7841
Rearrange (-93466*g + 76676*g + 46052*g)*(-4*g + 4*g - g) to the form q*g + b + x*g**2 and give x.
-29262
Rearrange -34*g + 1 + 84*g**2 + 90*g**2 - 267*g**2 + 87*g**2 to q*g + o + h*g**2 and give q.
-34
Rearrange (-12*j - 18 + 18)*(298*j**3 + 2229*j**3 - 570*j**3 + 748*j**3) to l + u*j**3 + k*j**4 + v*j + b*j**2 and give k.
-32460
Express -4279*u**2 - 1520*u**2 - 445*u**2 + 292*u**2 as w + x*u + a*u**2 and give w.
0
Express -4 + 2083*w + 2*w**2 + 2 + 0*w**3 + 5*w**3 + 0*w**3 - 2071*w in the form v*w**3 + p + l*w**2 + z*w and give v.
5
Express ((-y - 2 + 2)*(-5 + 5 + 4) + (2 - 2 - 2*y)*((-3 + 3 - 2)*(-2 - 2 + 2) + 6 - 3 - 1 - 5 + 4 + 0))*(2 - 4 - 1) in the form z*y + j and give z.
42
Rearrange 15 + 88986*x**3 - 2*x**2 + 228*x - 16 - 88989*x**3 to j + b*x**3 + d*x + n*x**2 and give n.
-2
Rearrange 27 - 56 - 17*b + 10 + (0*b - 3*b + 2*b)*(-3 + 5 - 3) - 2*b - 2*b + b to the form q + x*b and give q.
-19
Rearrange 5 + r - 5 + (-193 - 17 - 131)*(3*r - 4*r + 3*r) - 9 + 0 + 18*r - 17*r to the form u*r + i and give i.
-9
Express 159*j**2 - 383*j**2 - 317*j**2 + (-2*j + j + 4*j)*(-j - 4*j + 0*j) in the form r*j**2 + y*j + b and give r.
-556
Rearrange -587*p**3 - 7641 + 15292 - 7654 - 2*p - p**4 to f*p + i*p**4 + j + t*p**3 + g*p**2 and give f.
-2
Rearrange 107*d**3 - 3*d**2 + d**2 + 128*d**4 + 154*d**4 + 22*d**3 - 128*d**3 + d to k*d**2 + l + j*d**3 + f*d**4 + s*d and give j.
1
Express -244762*k**2 + 244762*k**2 + 5 - 3 - 2497*k**3 as m*k**2 + t + a*k + y*k**3 and give t.
2
Express (3 - 3 - d)*(260*d - 756*d - 1967*d) in the form g*d + q*d**2 + i and give q.
2463
Rearrange 6664*s**2 - 455*s**2 + 7605*s**2 to k + o*s**2 + i*s and give i.
0
Rearrange -2*h**2 + 4*h**2 + h**2 + (-10 + 10 + h)*(-h + h - 2*h) + (2*h + 4*h - 4*h)*(-15*h - 15*h + 23*h) to the form i*h + r + u*h**2 and give r.
0
Express 175*l**3 - 58*l**3 - 7*l**4 - 61*l**3 + 24 - 65*l**3 - 6*l**4 as n + f*l + c*l**4 + v*l**3 + r*l**2 and give c.
-13
Express (-5 + 3 + 1)*(-r + 4*r + r) + (-3 - 5 + 0)*(4 - 2 - 1)*(-2968 + 0*r + 2977 + 14*r) in the form m + s*r and give s.
-116
Rearrange 9*t + t + 777 + 129*t**2 - 397 - 380 to h*t + w + b*t**2 and give h.
10
Rearrange (3 - 3 + 7*y**2)*(55*y**2 + 23*y**2 - 80*y**2 + 353) to z + q*y**2 + p*y**4 + w*y + x*y**3 and give p.
-14
Rearrange m**2 + m**2 + 11097*m**3 - 22195*m**3 - 18*m + 11096*m**3 to the form u + q*m + n*m**2 + i*m**3 and give q.
-18
Express (-20*h - 49*h + 3*h)*((-5 + 1 + 2)*(0 - 4 + 2) - 1 + 0 + 4 + (-2 - 1 + 4)*(19 - 26 - 49)) in the form d*h + t and give d.
3234
Express 41659*y**2 - 83318*y**2 + 9222*y + 41660*y**2 in the form r*y**2 + i*y + h and give i.
9222
Express (-k**3 + 2*k - 2*k)*((-2 - 3 + 1)*(3 - 4 - 1) + (504 - 1416 + 741)*(2 - 3 + 4)) in the form l*k**2 + t*k**3 + a*k + v and give t.
505
Express 835*v + 2 - 342*v + 179*v as m*v + w and give w.
2
Rearrange -15522*m - 3136*m**2 + 15522*m to the form j + t*m**2 + h*m and give t.
-3136
Rearrange (5*v**2 - 2*v**2 - 2*v**2)*((0 + 0 + 1)*(2 - 7 + 3) - 1 - 1 + 1 + 4 - 2 - 3 + 2 + 4 + 9) - 26*v**2 + 17*v**2 - 67*v**2 to m + h*v**2 + k*v and give h.
-65
Rearrange 54 + 53 - 101 + z**3 - 10 + 2*z**4 - 26*z**2 to the form i*z**3 + g*z**4 + o*z + x*z**2 + c and give g.
2
Rearrange -7 - 613*d + 1305*d - 643*d to the form u + f*d and give u.
-7
Rearrange -587*a**2 - 162*a + 2 + 302*a**2 + 292*a**2 - 2 to y + x*a**2 + u*a and give x.
7
Rearrange (4*l - 3*l + 0*l)*(-3 - l + 3)*(-6292*l - 2 + 3278*l + 6*l**2 + 3225*l) to n*l**4 + w*l**2 + p + z*l**3 + o*l and give z.
-211
Express (-2*x - 4 + 4)*(-14 - 12 + 8)*(4 + 1 - 3) + 6*x + 48 - 48 in the form j*x + l and give j.
78
Rearrange 54*c**2 - 10627*c**4 + 131*c**3 + 10625*c**4 - 132*c**3 to the form h*c + y*c**2 + i*c**3 + o*c**4 + l and give i.
-1
Express (-2*l**3 + l**3 + 3*l**3)*(-340807 - 8424*l + 22921*l + 340807) as i*l**3 + w*l**2 + y*l + f + p*l**4 and give f.
0
Rearrange t - 3633640 + 11*t**2 - t + 3633419 to m + o*t**2 + p*t and give o.
11
Express -17*z**3 + 3*z + 24*z**2 + 10*z**3 + 11 - 26*z**2 + 11*z**3 + 4*z + z**4 in the form d*z**4 + t*z**2 + y*z + n*z**3 + x and give d.
1
Express -t - t + 15 + 37527*t**2 - 37526*t**2 - 3*t**4 + 2*t**3 as p*t**2 + x*t + i*t**4 + g*t**3 + o and give g.
2
Express -3480*i - 176 + 786*i + 176 - 105*i in the form w*i + u and give w.
-2799
Express ((4*q - 2*q + 0*q)*(-1 + 0 + 0) + 32*q - 393 + 393)*(3*q**3 + 6*q**3 + 12*q**3) as j*q**4 + m*q**2 + i*q + t + b*q**3 and give j.
630
Express (-17 - 2*a + 2*a + a)*(15*a - 33*a + 19*a) as s + z*a**2 + c*a and give s.
0
Express (259*i - 259*i - 252*i**2)*(2 - 2 - i - 2 + 5*i + 2 + (4 - 2 + 0)*(-i + 1 - 1)) in the form y*i**2 + w*i + r + m*i**3 and give m.
-504
Rearrange -17136*w**2 - 3*w + 8574*w**2 + 8860*w**2 to c*w**2 + x + u*w and give c.
298
Rearrange 9818*z - 9817*z - 58 - 79 - 14 + 48 to m + s*z and give m.
-103
Rearrange -3488546*k**4 + 11 + k**2 - k + 16*k + 3488548*k**4 to m*k + f*k**3 + l*k**2 + r + y*k**4 and give r.
11
Rearrange 8*u + 2 - 4*u + 0 - u**2 - 3*u**3 - 2*u + 4*u**2 to the form n*u**2 + q*u + f*u**3 + w and give n.
3
Express 1 - 2735*u**2 + 5475*u**2 - 2739*u**2 - 62*u**3 + 10*u as r + x*u**3 + p*u + m*u**2 and give p.
10
Express 132 + 83 + 18*f**2 - f + 224 - 25*f**2 in the form l*f + v*f**2 + g and give g.
439
Express (4*s**2 - 21*s**4 - 9*s**2 - 5*s**3 + 20*s**4)*(384 - 126 + 428) + 2*s**4 + 0*s**4 + 0*s**4 in the form m*s**4 + w + z*s**2 + f*s**3 + i*s and give f.
-3430
Rearrange (868*k**2 - 230*k**2 + 297*k**2)*(-3*k**2 + k**2 + 5*k**2) to z*k + f + i*k**4 + b*k**3 + c*k**2 and give i.
2805
Rearrange -53*v + 2*v - 6866 + 6887 to w*v + k and give k.
21
Express 2 + 0*h + 39841*h**2 + h - 39170*h**2 in the form g*h + k*h**2 + x and give g.
1
Rearrange (2 + 2 - 6)*(-4*w - w + 3*w)*(-1108613*w + 1108613*w + 3330*w**2) to p*w**2 + o*w + a*w**3 + r and give a.
13320
Express 8235*d - 669 + 224 + 225 + 220 in the form m + r*d and give r.
8235
Express -72536 - 158*w**2 + 72536 + 891*w**2 as d*w**2 + o*w + h and give d.
733
Express 7*a + 962*a**2 + 963*a**2 - 1914*a**2 in the form z + i*a + r*
|
{
"pile_set_name": "DM Mathematics"
}
|
Let j(y) be the second derivative of -56*y - 40/3*y**3 + 0*y**2 - 11/4*y**4 + 0. What is the second derivative of j(g) wrt g?
-66
Let v(s) = s**4 + 2*s**3 + 1387*s**2 + 5*s. Let j(l) = -l**3 + 2*l**2 - l. Let w(y) = 6*j(y) + v(y). Find the third derivative of w(q) wrt q.
24*q - 24
Suppose 5*q - 20 = q + 2*l, 4*q = -5*l - 8. Let j = -533 + 534. Differentiate 0 + 51*d**q - j - 70*d**3 wrt d.
-57*d**2
Suppose 2*w - 13 - 2 = 3*b, 5*b = -4*w - 3. Find the third derivative of -35*g + 11*g**3 - g + 48*g**w + 98*g**3 + 2*g**2 wrt g.
942
Let x(g) be the second derivative of -2*g**8/7 - g**6/10 + 7*g**4/6 + 11*g**3/3 - g**2/2 + 2*g + 2426. Find the third derivative of x(a) wrt a.
-1920*a**3 - 72*a
Let n(v) be the second derivative of -3202*v**6/15 - 875*v**3 + 15*v + 139. What is the second derivative of n(b) wrt b?
-76848*b**2
What is the third derivative of 4*a + 6735*a**3 - 17*a**2 - 33*a**2 - 2841*a**3 + 4156*a**3 - 61*a**2 wrt a?
48300
Let y(v) = -3743*v**3 - 27*v**2 - 638*v + 15. Let l(o) = 935*o**3 + 7*o**2 + 160*o - 4. Let t(u) = 15*l(u) + 4*y(u). What is the third derivative of t(p) wrt p?
-5682
Suppose -5*n - 5*r = 0, 4*n - 9*r = -8*r + 15. What is the third derivative of -135*s**2 - 96*s**2 - 80*s**3 - 184*s**5 + 80*s**n wrt s?
-11040*s**2
Let n be (-45)/(-6)*6/9. Let y(d) = 14*d**2 - 52*d - 4. Let h(p) = 7*p**2 - 26*p - 2. Let i(o) = n*h(o) - 3*y(o). What is the second derivative of i(a) wrt a?
-14
Let h = 21 - 18. What is the second derivative of 65*a - 31*a**h - 45 + 45 wrt a?
-186*a
Let t be (124/(-93))/(2/12*-2). Find the second derivative of 7*v**2 - 1413*v**4 - 1422*v**t - 41*v + 2836*v**4 wrt v.
12*v**2 + 14
Let h(a) be the first derivative of 75*a**6/2 - a**5/5 + 4589*a**2/2 + 450. Find the second derivative of h(k) wrt k.
4500*k**3 - 12*k**2
Suppose -3*v + 32 = 2*c, -c = 5*v - 3*v - 15. Differentiate -c - 183 - 180 + 56*u**3 + 233 with respect to u.
168*u**2
Suppose 5*r - 395 = -4*u, 0 = r + 4*u - 54 - 25. What is the first derivative of r + 30*h + 63*h + 22*h wrt h?
115
Differentiate 63950788*g - 3945 + 10160*g**2 - 63950788*g wrt g.
20320*g
Let v(m) = -179*m + 164*m + 6 + 6. Suppose -2*b = -2 - 6. Let n(d) = 15*d - 12. Let z(w) = b*v(w) + 5*n(w). Differentiate z(t) with respect to t.
15
Let b(k) = 296*k**4 + 6*k**3 - 2283*k**2 - 6. Let g(w) = 2*w**4 - w**3 - 2*w**2 + 1. Let u(q) = -b(q) - 6*g(q). What is the third derivative of u(i) wrt i?
-7392*i
Let s(b) = 2651*b**3 - 2531*b**2 + 9*b. Let i(n) = 1988*n**3 - 1899*n**2 + 7*n. Let y(g) = 9*i(g) - 7*s(g). What is the third derivative of y(x) wrt x?
-3990
Let p(h) be the first derivative of -44 + 0*h**3 + 18*h - 10*h**6 - 1/2*h**2 + 0*h**5 + 0*h**4. What is the second derivative of p(l) wrt l?
-1200*l**3
Let y(t) = 1 - 153*t**2 - 14 - t - 2*t + 4*t - 12. Let w(f) = -154*f**2 + 2*f - 24. Let h(j) = -2*w(j) + 3*y(j). What is the second derivative of h(b) wrt b?
-302
Find the second derivative of -1061 - 3*q**2 + q + 2053 - 1054 - 642*q**5 wrt q.
-12840*q**3 - 6
Let f(u) = -u**2 + 13*u - 16. Let g be f(10). What is the derivative of g*s + 84 + 96 - 51 + 19*s - s wrt s?
32
Let o(z) be the second derivative of 3579*z**5/20 + 3677*z**3/6 - 2053*z. What is the second derivative of o(a) wrt a?
21474*a
What is the second derivative of 201*s - 6375*s**4 + 223*s**4 + 749*s**4 + 9742*s wrt s?
-64836*s**2
Let n(x) = 4*x**2 + 3*x - 3. Let t be n(2). Let a be 4/((-4)/13)*-1. What is the first derivative of a - 5 - 44 + t*s wrt s?
19
What is the second derivative of 22 + 22 + 22 + 22 + 2*l**2 - 89 + 26*l**3 + 408*l wrt l?
156*l + 4
Let r be ((-2)/3)/(50/(-3675)). Find the second derivative of -386 - d + 27*d**2 + r*d**2 + 2*d + 373 wrt d.
152
Let d(n) = -8*n - 26. Let r be d(-4). What is the second derivative of -12 + r + 42*c - 20*c**3 + 6 wrt c?
-120*c
Let z(f) = 11*f - 8. Let y be z(3). Let l = -22 + y. What is the third derivative of 9*w**2 + 58*w**l - 58*w**3 - 2*w**5 wrt w?
-120*w**2
Find the second derivative of 0 + 471*i - 127*i - 251*i + 4 - 804*i**3 wrt i.
-4824*i
Let i(a) be the second derivative of -17 - 3*a - 7*a**4 - 1/6*a**3 + 0*a**2 + 36/5*a**5. Find the third derivative of i(x) wrt x.
864
Find the second derivative of -109*w + 18966*w**4 - 1 - 19625*w**4 - 24*w - 1 - 59*w wrt w.
-7908*w**2
Find the third derivative of 334 + 3226*q**2 - 464 - 3144*q**5 + 130 wrt q.
-188640*q**2
Let j(c) be the third derivative of 25*c**4/4 + 5*c**3/3 - 8*c**2. Let y(n) = -75*n - 5. Let l(m) = 4*j(m) + 7*y(m). What is the derivative of l(s) wrt s?
75
Find the third derivative of 130*p**2 - 7*p + 143*p**4 + 3*p**5 - 29*p**2 - 70*p**2 + 13*p**6 - 4*p**5 wrt p.
1560*p**3 - 60*p**2 + 3432*p
Suppose 5*d = s + 22, d = 6*d - 2*s - 19. What is the third derivative of -14 + 10*h**3 + 0*h**2 - 2*h**2 - d*h**6 + 3*h**6 - 90 + 45*h**3 wrt h?
-240*h**3 + 330
Let h(b) = -b**2 - 13*b. Let s(o) = 17*o**3 + 3*o**2 - 14*o - 15. Let g(n) = -3*h(n) - s(n). Find the second derivative of g(t) wrt t.
-102*t
Suppose -5*f + 171 = 3*b - 32, -5*b = 4*f - 360. Suppose -b = -3*v - v. Find the third derivative of 4*x**2 - 4*x**2 - 8*x**5 - v*x**2 + x**2 wrt x.
-480*x**2
What is the second derivative of -1352*a**4 + 656626 - 656626 + 1283*a wrt a?
-16224*a**2
Let a be (2/(-6)*4)/((-88)/924). What is the derivative of -21 - 9 - a*x**3 + 44*x**3 + 7 wrt x?
90*x**2
Let g(k) = -k**3 + k**2 - 3*k + 3. Let b(y) = -1577*y**3 + 7*y**2 + 3910*y + 17. Let u(s) = b(s) - 6*g(s). Find the second derivative of u(m) wrt m.
-9426*m + 2
Let v(h) be the third derivative of 1333*h**4/24 - 473*h**3 + 4453*h**2. Differentiate v(q) wrt q.
1333
Let v(g) be the third derivative of -g**8/336 + 127*g**6/120 + g**5/3 - 517*g**4/8 + 11*g**2 - g + 12. Find the second derivative of v(q) wrt q.
-20*q**3 + 762*q + 40
Suppose -s - 9 = -64. Find the third derivative of -19*b - s*b**3 + 0*b + 21*b + 3*b**2 wrt b.
-330
Let q(z) be the third derivative of z**8/168 + 17*z**5/20 - 125*z**4/4 + 149*z**2. Find the second derivative of q(f) wrt f.
40*f**3 + 102
What is the third derivative of 397*t**2 - 229*t**2 - 693*t**3 - 208*t**2 + 103 wrt t?
-4158
Let g(s) = -2*s**4 - 304*s**3 - 6*s**2 + 3615. Let c(j) = 2*j**4 + 301*j**3 + 5*j**2 - 3616. Let y(l) = -6*c(l) - 5*g(l). Differentiate y(u) wrt u.
-8*u**3 - 858*u**2
Find the third derivative of -4*s - 76*s**2 - 37*s**2 + 3*s**2 + 231*s**2 + 29*s**4 + 48*s**2 wrt s.
696*s
Let v(j) be the third derivative of 97*j**7/105 + j**6/20 + 475*j**4/24 - 2483*j**2. Find the second derivative of v(k) wrt k.
2328*k**2 + 36*k
Let k(t) = -64*t - 72. Let y be k(-3). What is the second derivative of -74*u**4 + 60*u**4 - 328*u - y*u**4 + 409*u wrt u?
-1608*u**2
Let h(d) be the second derivative of 10 + 142*d**2 + 12*d + 61/3*d**3. Differentiate h(i) wrt i.
122
Let w = -82 - -87. Suppose w*u - x - 120 = -0*x, 5*u + x = 120. Find the third derivative of 2*v**5 + u*v**2 - 27*v**6 - 2*v**5 + 16*v**6 wrt v.
-1320*v**3
Let d(l) be the third derivative of 3377*l**6/120 + 3121*l**3/6 + 2*l**2 - 2551*l. Differentiate d(z) with respect to z.
10131*z**2
Let f be -2 - ((-1)/(-10) + 41/(-10)). What is the second derivative of 3 + 541*m - 45*m**2 - 27*m**2 - 534*m - 67*m**f wrt m?
-278
Let m(t) be the third derivative of -19*t**8/560 - 103*t**4/24 - t**3/6 + 24*t**2. Let p(l) be the first derivative of m(l). Differentiate p(h) wrt h.
-228*h**3
Let p(f) be the first derivative of 688*f**5/5 + f**4/2 - 5221*f**3/3 - 3023. What is the third derivative of p(i) wrt i?
16512*i + 12
Let i(b) = b**3 - 9*b**2 + 8*b + 3. Let m be i(8). Find the second derivative of -118*x - m*x**3 - 12*x**4 + 1784 - 1784 wrt x.
-144*x**2 - 18*x
Find the third derivative of 50*k**4 - 1415*k**4 + 26*k**2 + 7*k + 32*k**5 - k - 31*k**5 - 16*k**4 wrt k.
60*k**2 - 33144*k
Find the third derivative of -138*q**2 - 115*q**2 + 278 + 1658*q**3 + 4851*q**3 + 3341*q**3 + 254*q**2 wrt q.
59100
Let u(r) be the first derivative of 142/3*r**3 + 0*r**2 - 10*r - 122. Differentiate u(h) with respect to h.
284*h
Let y = 191 - 187. Find the second derivative of -4 + 95*j**y + 4*j + 3 - 11*j wrt j.
1140*j**2
Let p = 59 + -57. Differentiate 24*d**3 + 45*d**3 - 42*d**2 + 42*d**p - 77 with respect to d.
207*d**2
Let q(v) = v**2 + 1. Let o be q(2). Suppose -2 - 2 = -3*h - p, -o*p + 20 = -3*h. Find the
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{
"pile_set_name": "DM Mathematics"
}
|
1
Let t be 0/(-2 - -4) - (1 - 8). Let j(c) = c - 5. Let p be j(t). Solve p*b - 4 - 6 = 0 for b.
5
Let p be ((-14)/(-6))/(2/(-24)). Let z be 86/8 - 7/p. Let c be 4/(-22) - (-68)/z. Solve c = 3*r - 3 for r.
3
Let l(t) = -4*t**2 - t. Let q be l(2). Let g = -13 - q. Suppose 6*z + g*n = z + 35, -5*z + 31 = 3*n. Solve -5*h + 15 + z = 0 for h.
4
Suppose -214 = -64*a + 426. Solve 3*m - a = -25 for m.
-5
Suppose v = 6*v. Let o(x) = -x**3 + 12*x**2 - 11*x - 3. Let k be o(11). Let y be (-7)/(-4) - ((-9)/(-12))/k. Solve v = t + t + y for t.
-1
Let c be (-1*2)/(-7 + 5). Let v(r) = 0*r - c + 0*r + 16*r - 2*r. Let g be v(1). Solve -3*k - 1 = -g for k.
4
Let p = 63 + -57. Let z be -3 - (-8)/(16/p). Solve z*v - 2 = 2*v for v.
-1
Suppose 0 = 7*z - 20*z + 13. Let l be (-91)/(-21) - (-2)/3. Suppose 4*f + 2 - 20 = -l*b, -b - 3*f + 8 = 0. Solve b*v - z = -11 for v.
-5
Let h(f) = -2*f**3 + 2*f**2 + 4*f + 5. Let l be h(-2). Let g = l + -20. Suppose w - 3 + g = 0. Solve -w*s = -5 + 3 for s.
1
Let p(o) = -o**3 - 10*o**2 - 7*o + 5. Let j be p(-10). Let h = j + -42. Suppose h - 9 = 3*m. Solve m = t + t for t.
4
Let l(s) = 7*s**2 - 17*s - 69. Let h(y) = 3*y**2 - 9*y - 34. Let x(z) = -9*h(z) + 4*l(z). Let i be x(-10). Solve m - 2*m - 5 = i for m.
-5
Suppose 10*i = 7*i + 33. Solve i*m - 14 = -36 for m.
-2
Suppose 22*h + 8 = 23*h. Let r = 20 - h. Solve -5*p + r = -3 for p.
3
Let l be (-94)/(-22) - 168/616. Solve -k = -l + 8 for k.
-4
Let i be (-1)/(-1*(-3)/21). Let d = i - -9. Suppose -d*p + 5 = 3*p. Solve 0 = 3*l - p + 4 for l.
-1
Let p(v) = -v**3 - 15*v**2 - 2. Let x be p(-15). Let y = 5 + x. Solve -5*z + y = -17 for z.
4
Suppose 0 = -6*k + 65 + 151. Let c be 78/k - 3/18. Let w be (-1)/((7/2)/(-7)). Solve -c*x + 0 = w for x.
-1
Let y(f) = 7*f + 3. Let l be y(1). Suppose -13*u = -8*u - l. Solve 0 = -u*q + 6*q - 4 for q.
1
Let q = -27 + 27. Suppose 0 = -9*j + 13*j - 16. Let p be 18/j*(-32)/(-24). Solve q = -3*b - 0 + p for b.
2
Let q = -681 - -703. Solve -q + 7 = -5*a for a.
3
Let v = 81 - 71. Suppose k - v = -1. Solve k = -5*f + 24 for f.
3
Suppose 0 = 4*f + 12, y - 22 = -0*y + 2*f. Let r be 43/9 + y/72. Suppose -8 = 3*z - 5*q, -19 = -r*z + q - 3. Solve 19 = -z*w - 1 for w.
-5
Let a(j) = -j**3 - 7*j**2 - 7*j - 2. Let g be a(-6). Suppose -y + 36 = 3*y + g*r, 4*y - 24 = -r. Solve 21 = -y*k - 4 for k.
-5
Let r(x) = 16*x - 4. Let p be r(3). Let o = p - 29. Suppose 2*v = -h - 3*v - o, 6 = -4*h - 2*v. Solve h = 4*g - g for g.
0
Let v be 4/1*4*11/44. Suppose -3*j - 2*j = 0. Solve j*y = y + v for y.
-4
Suppose -348 = 5*n - 93. Let k = n - -63. Solve 7*l = 4*l - k for l.
-4
Suppose -3*h + 2*h - 3*c = -44, 4*h = -2*c + 166. Suppose 0 = -4*q - 5*s - 108, 4*q - 5*s = h - 149. Let y = q + 32. Solve n + y - 10 = 0 for n.
5
Let n be 9/3*10/15. Let l = 103 + -100. Solve -n*c = l*c for c.
0
Let o(c) = 2*c + 21. Let v be o(-13). Let u be (-3)/(1/(v/3)). Solve -n = -2*n - u for n.
-5
Suppose -14*p + 198 = 2. Solve 6 = -4*d + p for d.
2
Let a(y) = -2*y**3 + 8*y**2 - 6*y + 6. Let u be a(3). Let j be 16/u - (-26)/(-39). Solve -3*w + 4 = -j for w.
2
Let m(y) = -y - 17. Let d be (34/4)/((-1)/2). Let t be m(d). Solve -3 + t = q for q.
-3
Let h = -17 + 13. Let m(q) = q**2 + 3*q + 2. Let v be m(h). Let w be (-45)/(-6)*4/v. Solve -3 - w = -4*a for a.
2
Let x be (26/13 - -1)/((-3)/(-2)). Solve x = -4*w - 18 for w.
-5
Let x = 23 + -29. Let l be 54/(-12)*(-40)/x. Let k be (-5)/l - (-1)/(-6). Solve 2 = r - k*r for r.
2
Let r be (-2)/(-3)*21/2. Suppose 0 = -9*g + 6*g + 15. Let w = r - g. Solve 16 = -w*y - 2*y for y.
-4
Let y(q) be the second derivative of -q**5/20 + q**4/12 - q**2/2 + q. Let j be -7 - 9*(-6)/9. Let t be y(j). Solve -2*v = -t - 3 for v.
2
Suppose -6*p = -3*k - p + 32, 3*k + 2*p - 4 = 0. Solve 8*x = k + 4 for x.
1
Suppose 6*t - 15 = -3. Solve 0 = -t*u - u + 6 for u.
2
Suppose -2*z + 16 = 363*p - 360*p, -4*p + 2*z = -26. Solve -6*b = -6 - p for b.
2
Let z = 11 - 8. Let h be 130/6 - (-12)/(-18). Suppose z*g = -i + 6*i - 5, -g + h = 4*i. Solve g*p - 3*p = -6 for p.
-3
Suppose -5*g = -7*g. Solve 5*x = -g - 25 for x.
-5
Let t = -416 + 424. Solve -10 = -3*d + t*d for d.
-2
Suppose -j + 3*p + 2*p + 25 = 0, -2*p + 24 = 3*j. Suppose j = -a + 3*a. Solve -a*s + 6 = 1 for s.
1
Let o(z) = -5*z - 15. Let n(c) = 16*c + 44. Let b(y) = -3*n(y) - 10*o(y). Let d be b(-8). Let i be 3*2*(-13)/(-39). Solve -d*w + 4 = i*w for w.
1
Suppose 2*s - 4 = 4*w + 6, 4*s = -5*w + 7. Let v be (-24)/28 - (120/56 + -7). Solve o - s*o + v = 0 for o.
2
Let w(f) = -f. Let o be w(0). Suppose 8*s + 0 = -o. Solve a + 3*a = s for a.
0
Let q be ((-116)/14 + 8)*-7. Solve -q = 5*f + 13 for f.
-3
Let r be 8 - 13/((-65)/(-70)). Let t(o) be the second derivative of o**4/6 + 5*o**3/3 - 7*o**2/2 + o. Let i be t(r). Solve 3*u + i = -7 for u.
-4
Suppose -34*h = -25*h - 1017. Solve 105 - h = 2*w for w.
-4
Let t(d) = -d**2 - 4*d + 22. Suppose -29 = 2*f - 15. Let k be t(f). Solve a = -k - 0 for a.
-1
Let x be 0/(-5) + -3 + 39. Suppose -20*k - x = -23*k. Solve 2*u = -2*u - k for u.
-3
Let y be 10/4*126/105. Solve -3*j - 15 = -y for j.
-4
Let j(w) = -w**3 - 34*w**2 - 30*w + 102. Let y be j(-33). Let c be -4 + 1 + 2 + 5. Solve -9 = c*s + y for s.
-3
Let w = -12 + 17. Suppose 4 = -5*o - 2*p, -9 = w*p + 1. Let s = o - 0. Solve 2*r + 1 + 5 = s for r.
-3
Let n(v) = v**2 + 27*v + 76. Let w be n(-24). Solve 3*b - w = -b for b.
1
Let o = -25 + 27. Let u be (32/72)/(o/9). Solve 1 = -u*v + 3*v for v.
1
Let m = 107 - 77. Let v be (-6)/(-9) + 4/m*10. Solve 2*l = v - 10 for l.
-4
Let x = 1674 - 1664. Solve -x*a - 14 = 6 for a.
-2
Let w be 5 + (-4)/(-14)*(-9 + 23). Solve 7*v + 5 = -w for v.
-2
Let h = -2 + 2. Let w(m) = 29*m**2 + 28*m + 1. Let c be w(-1). Solve h = -c*x + x for x.
0
Let x(m) = -3*m**2 + 10*m + 16. Let r(y) = y**2 - 5*y - 8. Let q(u) = -5*r(u) - 2*x(u). Let v be q(-3). Solve -v + 17 = -5*g for g.
-3
Suppose -16 = -5*h + n, 10*n + 4 = 4*h + 7*n. Solve 0 = x + h*x + 5 for x.
-1
Suppose -52*x + 57*x - 60 = 0. Solve -23*p - x = -19*p for p.
-3
Let m(k) = 2*k - 2. Let s be m(2). Suppose 4*a + 5*p = -a + 25, 2*a = 5*p + 38. Suppose s*l - a - 1 = 0. Solve -z = -l*z - 20 for z.
-5
Let g be 7/(-28) - (-1)/4. Let v be (g - (2 + -3)) + -1. Suppose 5*n - 4*s = 27, -3*n + 6*n + 2*s - 3 = v. Solve 0*a = -n*a + 6 for a.
2
Suppose 5*l = -f - 122 - 211, 345 = -5*l - 5*f. Let c = -66 - l. Solve 2*o - 4 + c = 0 for o.
2
Let y = -171 - -173. Solve 9*p + y*p = 33 for p.
3
Let s(t) = 4*t - 14. Let d be s(11). Solve 0 = 10*h - 10 - d for h.
4
Suppose -3*s = 15, -9*b - 3*s + 20 = -4*b. Solve -b*x + 5 = -6*x for x.
5
Let h be 28/(3 + -1) - 4. Suppose 3*z + f + f = -5, -3*f - h = 2*z. Solve -b = 3 + z for b.
-4
Let q(h) = h**3 + 3*h**2 - 2. Let p be q(-3). Let b(o) = -3*o - 2. Let a be b(p). Solve 0 = -6*c + a*c for c.
0
Let x(f) = f**3 + 12*f**2 + 21*f + 86. Let s be x(-10). Solve s*o - 73*o = 3 for o.
1
Let b be (-10)/4*36/(-45). Let h be b/13 - (-4268)/143. Suppose k - h = -k. Solve 4*y + 3 = k for y.
3
Suppose 11 = 5*x - 19. Suppose 3*b - 13 - 2 = -3*u, -2*b + 2*u = x. Solve -4*c + 3 = -b for c.
1
Suppose -5*c - 10 = 0, -7*g - 16 = -12*g - 2*c. Let x(u) = 2*u**2 - u - 2. Let f be x(2). Suppose f*p + 0*p - 64 = 0. Solve 0*s = g*s - p for s.
4
Suppose 39 = 3*g + 5*a, -5*g - 3*a + 55 = 2*a. Solve -g*w = -10*w + 2 for w.
1
Suppose 5*y = -3*s + 32, 8 = -3*y + 3*s + 2*s. Solve 4*x + 0 = y for x.
1
Let f = 1 + 2. Suppose 2*s + 28 = -b - b, 12 = f*b. Let h = 20 + s. Solve 0*u - h*u = -4 for u.
2
Let m(c) = c**3 + c**2 - c + 5. Suppose -3*s + 39 = 3*w, -3*s + 2*s = -5*w + 59. Let u = -12 + w. Let r be m(u). Solve -5*p - r = 20 for p.
-5
Let r(w) = 24*w**2 - 2*w. Let h be r(1). Solve -h*s + 4 = -24*s for s.
-2
Suppose z + 1 + 3 = -3*o, -16 = -3*z + 5*o. Suppose 4*v = 6*v + z*i - 16, -4*i - 13 = -5*v. Suppose 3*s = v*s. Solve 0*g - 5*g + 10 = s for g.
2
Let p be ((-27)/6)/(54/(-36)). Solve -27*i + p = -30*i for i.
-1
Suppose 3*q = -5*w, 0 = 2*w + 5*q - 3*q + 4. Solve n - 1 = w for n.
4
Let l(h) = h**3 - 3*h**2 - 2*h + 7. Let r be l(3). Let d(i) = i**3 - 4*i**2 - 5*i + 2. Let o be d(5). Solve o*k = k + r for k.
1
Let y be 2/12*6*25. Suppose -2*m - 24 = -3*m. Suppose -2*k + m = 2*k. Solve k*l = l + y for l.
5
Let d(h) = h**2 - 12*h - 16. Let m be d(-2). Solve -2*w - m = -8 fo
|
{
"pile_set_name": "DM Mathematics"
}
|
u*w - w + 3*w**2. Calculate y(3).
1
Let l(c) be the second derivative of -3/2*c**2 + 0 + 3*c - 1/6*c**3. Suppose 0*h = 5*h + 25. Determine l(h).
2
Let i(u) = -u**2 - 6*u - 8. Let n be i(-5). Let h(f) = f**3 + 4*f**2 + 2*f + 2. Determine h(n).
5
Let w(v) = v**2 + 2*v + 3. Suppose -2*z + 6 = -2. Let a = 0 + z. Let y(g) = g**3 - 5*g**2 + 3*g + 1. Let b be y(a). Calculate w(b).
6
Suppose 4*j - 5*j + 6 = 0. Let w(z) = j - 5*z - 2*z + 0*z + z + z**2. What is w(4)?
-2
Let r(d) = 2*d + 1. Let t(u) = u + 5. Let g = -1 - -1. Suppose 2*o + 12 + 0 = g. Let f be t(o). What is r(f)?
-1
Let b(z) = -2*z**2 + 27*z**3 + z - 54*z**3 + 24*z**3. Let p = -2 - -4. Let d be (-2*(p - 1))/(-2). Determine b(d).
-4
Let w(b) be the first derivative of 1/3*b**3 - 1/4*b**4 + 2 - 1/2*b**2 + b. Let a(p) = -p**2 + 7*p - 5. Let s be a(6). Calculate w(s).
0
Let a(f) = 3*f**2 - 9*f + 4. Let n(r) = 2*r**2 - 6*r + 3. Let z(x) = 5*a(x) - 7*n(x). Calculate z(3).
-1
Let z be -5*(0 + (-2)/2). Let n(m) = -99*m**2 + 6 + 191*m**2 - 97*m**2 + m**3. Calculate n(z).
6
Let p(b) = -b + 9. Let u be p(7). Let m = -4 - -4. Suppose c = z + 9, m = u*z - 6*z - 4*c + 4. Let n(t) = -t - 1. Determine n(z).
3
Let i = 16 + -11. Let b(x) = 6*x - 1. Let h(v) = -11*v + 3. Let k(y) = i*b(y) + 3*h(y). Determine k(3).
-5
Let t(k) be the first derivative of -k - 1/2*k**2 + 2 - 1/3*k**3. Let m(n) be the first derivative of t(n). Give m(-1).
1
Let l be 2/5*5 - 6. Let c(t) = -3*t - 3. What is c(l)?
9
Let l(a) = a - 4. Let g(n) = n + 3. Let f be g(0). Suppose -9 + f = -3*x. Give l(x).
-2
Suppose 4*k - 5*k = 6. Let f(n) = -8*n**3 - 11*n**2 - 2*n - 5. Let m(i) = 7*i**3 + 10*i**2 + 2*i + 4. Let h(b) = k*f(b) - 7*m(b). Calculate h(-2).
-2
Suppose -5*g - 3 = -4*y - 5, g = 2*y - 2. Let w(z) = -2*z + 0*z + 3*z**y - 2*z**2. Let h = -1 - -4. Give w(h).
3
Let r(i) = i + 1 - 5*i**2 + i**2 + 3*i**2 - i**3. Let x = 114 - 114. Calculate r(x).
1
Suppose 2*d + 5 = d - 4*u, 3*d - 15 = 3*u. Let m(v) = 3*v**3 - v**2 + v. Let g(q) = 2*q**3 + q + 1. Let o(b) = 4*g(b) - 3*m(b). What is o(d)?
7
Let o be (-1)/(-6) - (52/24 + -2). Let g(a) = -a - 9. What is g(o)?
-9
Let l(m) = 6*m. Let y be 1 + -2 + 16/(-2). Let s = y - -14. Let p(z) = -7*z - 1. Let d(x) = s*p(x) + 6*l(x). What is d(4)?
-1
Let f be -2 - 0 - (-2 + -1). Let w(o) = -22*o**2 - f + 21*o**2 + 0*o + 4*o. Determine w(4).
-1
Let n(r) = r**2 + 3*r - 3. Let o = -12 - -22. Suppose -5*p - o = 2*l, 0*p + 5*p - 2*l + 30 = 0. Determine n(p).
1
Let y(r) be the third derivative of r**6/120 - r**4/24 + 5*r**3/6 - 22*r**2 + r. Determine y(0).
5
Let w(i) = -i**2 - i - 1. Let y(j) = j**3 - 10*j**2 - 10*j - 10. Let t(s) = -5*s - 1. Let m be t(1). Let g(l) = m*w(l) + y(l). Give g(5).
1
Let r(d) = -5 - 2*d**2 + d**2 - 6*d - 6*d + 6*d. Let v = -7 - -3. What is r(v)?
3
Suppose 10*j = 5*j + 35. Let h = j - 12. Let b(d) = -d - 1. Let m(f) = 2*f + 4. Let i(l) = -2*b(l) - 2*m(l). Calculate i(h).
4
Let l(y) = y**2 + 3 - 5*y + 19*y - 8*y. Suppose -5*b + 3*i = -5, -4*b - 3*i - 19 = -2*b. What is l(b)?
-5
Let q(t) = t + 4*t**2 - 15 + 7 + 7. What is q(1)?
4
Let d(x) be the first derivative of -x**5/60 + x**4/24 + x**3/2 + 3*x**2/2 - 5. Let p(n) be the second derivative of d(n). Determine p(4).
-9
Suppose -22 = -4*d - 5*c, 2*d = 7*d - c - 13. Let a(m) = -7*m + d + m**2 - 6 + 2. Give a(5).
-11
Suppose -3*l - y - 22 = 0, 0*l + 5*y = -l - 26. Let f be (2 - -1)/(-3) - l. Let a(b) = b**2 - 5*b - 6. Calculate a(f).
-6
Let x be 4/2 - (-18)/6. Let s(h) = -h**2 - 3*h + 7*h - h + 2. Determine s(x).
-8
Let l(w) = -w + 68 + 63 + 68 - 201. Give l(6).
-8
Let i(g) = 10*g + 6. Let k(h) = 3*h + 2. Let q(r) = -2*i(r) + 7*k(r). Let b = -5 + 9. Give q(b).
6
Let a(c) be the first derivative of -c**3/3 + c - 47. Let i = -2 + 0. Determine a(i).
-3
Suppose 2*h = -3*h - 15. Let l(s) be the first derivative of s**5/120 - s**4/8 - s**3 + 3. Let g(b) be the third derivative of l(b). Give g(h).
-6
Let w(b) = -13*b**2 - 21*b - 5. Let q(u) = -3*u**2 - 5*u - 1. Let t(i) = 9*q(i) - 2*w(i). Calculate t(-3).
1
Let b(w) = w - 6. Let o be (-14)/(-4) - 3/(-2). Determine b(o).
-1
Let o(l) = -l - 4. Let f = -46 + 53. Give o(f).
-11
Let z(v) be the third derivative of v**4/12 - v**3/2 - 3*v**2. Let h(k) = k - 7. Let s be h(10). Determine z(s).
3
Let x(g) = 7*g**3 + 3*g**2 + 6*g + 6. Let i(c) = -c**3 + c**2 - c. Let k(r) = 6*i(r) + x(r). What is k(-9)?
6
Suppose 4*t + 2*o = -56, -4*o + 18 = -2*t - 0*t. Let u(z) = -2*z - 1. Let j(m) = 4*m + 2. Let v(i) = t*u(i) - 6*j(i). Calculate v(-5).
-9
Suppose -2*m + 83 = 3*v, m + 77 = 3*v - 3*m. Suppose -5*j = 7 - v. Let q(t) = -6*t + j + 1 + t**2 - 3. Calculate q(5).
-3
Suppose -4*q = -4*j + 40, -2*j - 12 = 5*q - 4. Suppose -j = -x - 3. Let g(z) be the second derivative of -z**4/12 + z**3/6 + z**2/2 + 11*z. Determine g(x).
-5
Let a(k) = -k**2 + 1. Let v(d) = -5*d**2 + 4*d + 7. Let o(s) = -14*s**2 + 11*s + 22. Let u(i) = 2*o(i) - 7*v(i). Let p(q) = 6*a(q) + u(q). Calculate p(6).
1
Let g(n) = 10*n**2 + n. Let r(c) = 4*c - 1. Let k(z) = -5*z + 2. Let m(o) = 3*k(o) + 4*r(o). Let p be -4 + 5 + (-8)/4. Let l be m(p). Calculate g(l).
11
Let s(b) = -1 - 2*b + 7*b**2 - 2 + 2 + 5*b - b**3. What is s(7)?
20
Let f(w) = -w**3 + 4*w**2 + 6*w + 3. Let p = -2 + 3. Let t = p + 4. Give f(t).
8
Let y(t) = -2*t + 4. Let p be -2 + (2 - 0)*1. Suppose 4 = w - p*w. Suppose z - 2*c + w*c - 10 = 0, -4*z + 5*c = -1. Determine y(z).
-4
Let d(t) = 2*t + 13. Let n(w) = w + 1. Let b(h) = d(h) - 6*n(h). What is b(5)?
-13
Let d(t) be the third derivative of t**5/60 - t**3 - 3*t**2. Suppose -4*z + 2*z - 5*j + 5 = 0, -4*j = 2*z - 4. Suppose z = h - 0*h. Calculate d(h).
-6
Let v(c) = -c - 7. Let m(l) = -l**3 + 9*l**2 - 5. Let a be m(9). What is v(a)?
-2
Let u(w) = -w**3 + 3*w**2 - 2. Let l be u(3). Let q(s) be the third derivative of s**4/24 + s**3/3 + s**2. What is q(l)?
0
Suppose 2 = 2*u - 3*t - 1, 5*t + 5 = -2*u. Let o(w) = -w - 4. Give o(u).
-4
Suppose 12 = -2*n - 3*i + 3, -i = n + 5. Let m(j) = -j - 5. Give m(n).
1
Let d be (1 + 7)/(-4)*3. Let z(o) = -o**3 - 5*o**2 + 7*o. Calculate z(d).
-6
Let w(v) = -v - 8. Let h(b) = 2*b - 9. Let f be h(7). Suppose f*l - 5*z = -10, -4*l + 2*z - 1 = 3. Determine w(l).
-8
Let c(r) = -2*r + 7. Let w(s) = -3*s + 11. Let p(i) = -8*c(i) + 5*w(i). Calculate p(-6).
-7
Let s(u) = 7*u**3 - u**2 - 9*u + 5. Let m(w) = -4*w**3 + w**2 + 5*w - 3. Let p(d) = -d - 7. Let n be p(-4). Let j(g) = n*s(g) - 5*m(g). Give j(-3).
3
Let x(v) = 4*v - 3*v + 0*v + 17*v**2 - 2*v. What is x(1)?
16
Let t be (-2 + 3)*1*3. Suppose -12 = -t*a, -f - 5*a + 4 = -20. Let m(w) = -1 - w + 2 - f. Give m(-4).
1
Let j(z) = -z + 5. Let g be (-2)/(-4) - (-22)/4. Give j(g).
-1
Let b(q) = q**2 - 2*q + 1. Let h(y) = -y + 1. Let u be h(0). Suppose t - 4 = -u. Suppose -2*r + c + t = -1, -4*c - 13 = -5*r. What is b(r)?
0
Let b = -111 + 109. Let x(d) = d**2 - 3*d + 1. Let t(c) = -4*c**2 + 10*c - 3. Let p(z) = 4*t(z) + 14*x(z). Determine p(b).
-2
Let x(d) = 4*d - 1. Suppose 3*w = 1 + 17. Suppose -w*m = -3*m + 3. Let j be (m/(-1) - 2)*-2. Determine x(j).
7
Let f = 9 + -2. Suppose -z - 3 = 2. Let j = f + z. Let d(p) = -p**3 + p**2 + p + 1. Determine d(j).
-1
Let j be (0 - -1)*-5 - -1. Let i(k) = -5*k**3 + 5*k + 5. Let q(f) = 11*f**3 - 11*f - 10. Let y(n) = j*q(n) - 9*i(n). What is y(0)?
-5
Suppose 4*q + 2 = -2*k - 0, -5*q + 17 = -4*k. Let o(y) = -y**2 - 4*y + 1. What is o(k)?
4
Let f(n) = -n**2 - 9*n + 3. Suppose -5*y - 19 = -2*a, -3*y + 3*a - 12 = 2*a. What is f(y)?
23
Let u be 1*(-1 - -2) - -2. Let h(n) = -2*n**3 + 4*n**2 + n - 2. Calculate h(u).
-17
Let h(p) = -19*p**3 + 5*p - 16*p**3 + 60*p**3 - 3*p**2 - 26*p**3 + 1. Let w = 11 + -15. Determine h(w).
-3
Let i be (-8)/(0 + 3 + -5). Suppose 3*t - 6*t = 3*f - 24, -i*f + 22 = 2*t. Let j(a) = a**2 - 2*a**f + 5*a**2 + 2 + a**3 + 0*a - a. What is j(6)?
-4
Let z(d) = 3*d**3 - 7*d**2 + 5*d - 17. Let k(v) = 0 - 2*v + 6*v**2 - 2*v**3 + 8 + v**3 - 3*v**2. Let m(s) = 5*k(s) + 2*z(s). What is m(0)?
6
Suppose -2*c = 3*w - 7, 3*w - 11 = -4*c - 0. Suppose 3*u + c = 5. Suppose 5*f = -u - 19. Let a(h) = 2*h + 5. What is a(f)?
-3
Let m = 7 + -4. Suppose -2*r = m*r. Let t(s) = s**2 - s - 6. What is t(r)?
-6
Let i(c) = c**3 - 6*c**2 + 7*c - 6. Let m = -88 - -92. Determine i(m).
-10
Let b(d) = d**3 - 7*d**2 + d + 4. Let n =
|
{
"pile_set_name": "DM Mathematics"
}
|
= 3*r - 143, 2*x - 1 = -11. What is the tens digit of r?
4
What is the units digit of 14/7 + 1197/3?
1
Let n(l) = l - 5. Let i be n(8). Suppose 2*a - 4*k = 22, a = -a + i*k + 23. What is the units digit of a?
3
Suppose 1 - 4 = -3*h. Let z be -2 - (2 + 0 - 4). What is the units digit of (z - -1) + (h - -1)?
3
Let z(l) = -l**2 + 9*l + 4. Let v be z(9). Suppose 11 = -4*w - 4*t + 47, -v*t = -2*w + 18. What is the units digit of w?
9
Suppose z - t - 45 = 2*t, 2*z - 3*t = 105. Suppose -12 = -w - 4*q, w - 6*w + z = -2*q. What is the tens digit of w?
1
Let i(k) = k - 6. Let p(n) = n**3 - 4*n**2 - 4*n + 4. Let t be p(5). Let u be i(t). Suppose -u*q = -2*g + 25, 4*g - 105 = -g - q. What is the units digit of g?
0
Let g(s) = -6 - 6*s + 2 + 2. Let r be g(2). Let u = 28 + r. What is the units digit of u?
4
Let x(v) = v**2 - 3. What is the tens digit of x(-8)?
6
Suppose -2*d - 36 = -4*d. What is the units digit of (-4)/d + 130/18?
7
Suppose -3 = -s - 2. What is the units digit of s/(-1 + (-8)/(-7))?
7
Suppose 0 = -f + 4*h + 11, -2*f + 5 - 3 = 2*h. Suppose 4*y + 5*t = -35, -2*y - 9 = f*t + 6. What is the units digit of y/6*(-4)/5?
2
Suppose -3*t + 126 = -5*q + 2*q, 5*q - 204 = -4*t. What is the units digit of t?
6
Suppose -3*r - 3*n - 2 = -5, 3*r = 3*n - 21. Let q(i) = i**3 + 2*i**2 - 2*i + 4. What is the units digit of q(r)?
1
What is the hundreds digit of ((-1298)/66)/((-1)/6)?
1
Let l = 12 - -32. What is the units digit of l?
4
Suppose 9*o - 628 = 1496. What is the units digit of o?
6
Let k(p) = -6*p - 3. What is the units digit of k(-2)?
9
Let b = 4 + -9. Suppose -11 = 2*f + d, f - 4*f - 4*d = 4. Let g = b - f. What is the units digit of g?
3
Let j(a) = a**3 + a**2 - 5*a - 2. Let i(q) = -2*q + 5. Let u be i(4). Let o be j(u). Let t = -2 - o. What is the units digit of t?
3
Let q be (-3 + 5)*(-2)/4. Let d = q - 19. Let j = -12 - d. What is the units digit of j?
8
Let v(h) = -1. Let p(z) = 30*z + 5. Let j(m) = p(m) + 6*v(m). What is the tens digit of j(1)?
2
Suppose -1 - 8 = -3*f. Let t be ((-2)/(-1))/(1/f). Let x(o) = 2*o - 8. What is the units digit of x(t)?
4
Let m(x) = -x + 7. Let j be m(5). Let y(n) = -2 + 1 - j - 2*n. What is the units digit of y(-5)?
7
Let y(v) = -30*v + 26. What is the units digit of y(-6)?
6
Let f(s) = -s + 1. Let x be f(2). Let d be (2 + x + -1)/1. Suppose d = -c - 3*c - 3*l + 21, 3*c - 5*l = 23. What is the units digit of c?
6
Let s = 0 + 3. Suppose -5*j = -s*j - 40. What is the tens digit of j?
2
What is the tens digit of (-10)/(-3)*495/25?
6
Let n = -6 + 4. Let a be (-1)/((-9)/5 - n). Let b(i) = -3*i - 7. What is the units digit of b(a)?
8
Let o = 25 + 44. What is the tens digit of o?
6
Suppose 6 + 28 = -c. Let a = 48 + c. What is the tens digit of a?
1
Suppose 2*i - 27 = -3*n - 3*i, -n = 2*i - 10. Suppose -7 = -n*o + 1, 2*o = -m + 20. What is the units digit of m?
6
Let c(s) = -4*s. Let p be c(-2). Suppose -5*w = z - 3*w - p, 0 = 4*w + 20. What is the units digit of z?
8
Let h(s) = -s**2 - s + 7. Let t be h(3). What is the tens digit of (2/t)/(5/(-400))?
3
Let z = 8 + -5. Suppose -4*w - z*x + 36 = 0, x = 2*x. What is the units digit of w?
9
Suppose 0 = -3*d - 4*i - 112 + 498, -132 = -d + 2*i. What is the tens digit of d?
3
Suppose 147 = 3*c - 0*c. What is the tens digit of c?
4
Suppose -b = 2*p + 6, b + 3*p = 2*p - 2. Suppose 25 = i - 4*g + g, -4*i + 60 = -b*g. What is the units digit of i?
3
Let t(g) = -g**2 - 6*g + 8. What is the units digit of t(-6)?
8
What is the tens digit of (-3)/(12/(-698)) - 21/(-14)?
7
Let k be 6*(2 + -3)/1. Let i = 11 + k. Let h = -1 + i. What is the units digit of h?
4
Let i = 99 + -56. What is the tens digit of i?
4
Suppose -t - 5 = t + b, t = -4*b - 20. What is the units digit of t + 0 - (2 - 16)?
4
Let i(l) = l**2 - 3*l. Let t be i(4). Let r(q) = q - 3. What is the units digit of r(t)?
1
Suppose -6 + 3 = 3*c, 3*p - 3*c = 39. Suppose -4*q = 3*b + b - 8, p = 4*q + 5*b. What is the tens digit of (-3)/(2/(q*5))?
1
Suppose -2*o + 5*o = -24. Let x(u) = -2*u - 3. Let s be x(5). Let c = o - s. What is the units digit of c?
5
Suppose 4*p - 156 = -4*s, 3*p + p = -20. What is the tens digit of s?
4
Suppose 0 = -5*x + 4 + 6. Let t be 1/(((-2)/9)/2). What is the units digit of (-12)/t*(x + 1)?
4
Suppose 3*c - 265 = 2*y - 3*y, 0 = y + c - 257. What is the hundreds digit of y?
2
Let v = -27 - -43. Suppose -c = c - v. Suppose 4*y + c = 20. What is the units digit of y?
3
Let d = 17 - 7. Let b = d - 3. What is the units digit of b?
7
Let b be 6 + (-2 + 0 - 1). Suppose 0 = b*x - 16 + 1. Suppose 0 = -4*n - 0*f - 5*f + 83, x*n - 5*f - 70 = 0. What is the units digit of n?
7
Suppose 0 = 7*v - 1415 - 6. What is the tens digit of v?
0
Suppose -5*z - 2*p + 102 = -24, z = -p + 27. Let d = z + -8. What is the units digit of d?
6
What is the tens digit of ((-126)/(-27))/((-1)/(-3))?
1
Suppose -3*u + 5*i + 4 = 0, -5*i + 0*i = 3*u - 14. Let f(o) = -o + 19. Let p be f(0). Suppose -l - 4*q = -p, u*q + q = -4*l + 28. What is the units digit of l?
3
Let b(f) = 7*f**2 + 3*f - 2. What is the tens digit of b(-4)?
9
Suppose -11*r + 1920 = -r. What is the tens digit of r?
9
Let i be (9/(-1))/(9/(-6)). Suppose 4 = -3*f - i*b + b, 4*f + 5*b - 3 = 0. Let n = 13 + f. What is the units digit of n?
0
Let z(r) = 5*r**2 + 2 + 0*r**2 - 3. Let y be z(-1). Suppose -4*v - y = -3*v - 3*a, 4*v = -5*a + 52. What is the units digit of v?
8
Let j(q) = q**2 + 2*q + 1. Let v be j(-3). Suppose -v*o + 124 = -0*o. Let t = o - 22. What is the units digit of t?
9
Let i = -8 + -1. Let v be 3*((-21)/i + -2). What is the units digit of ((-180)/(-6))/(v*2)?
5
Let l = 8 + -10. What is the tens digit of 14 + (0 - l)/(-2)?
1
Let m(j) = j**3 - 10*j**2 + 7*j - 7. What is the tens digit of m(10)?
6
Let w(z) = z**3 + 11*z**2 + 9*z - 6. What is the units digit of w(-9)?
5
Let u(t) = -t**3 + 8*t**2 - 6*t - 5. Let d be 2/4*0 + 7. Let k be u(d). Suppose -19 = -5*c - 3*a, 3*c - k - 1 = a. What is the units digit of c?
2
Let x(t) = -t + 53. What is the tens digit of x(0)?
5
Let c = -5 - -5. Suppose -z + 15 + c = 0. What is the units digit of z?
5
Suppose 0*n - 24 = 4*n. What is the units digit of (1 + n + -1)*-2?
2
Let b = 10 + -27. Let z = 1 - b. What is the tens digit of z?
1
Suppose -2*s = -0*s. Suppose -2*p + 6*p - 36 = s. What is the units digit of p?
9
Suppose 2*i = -0*i - 20. Let h be -2 - 3/(6/i). Let k(u) = -u**3 + 2*u**2 + 2*u + 4. What is the units digit of k(h)?
1
Let c(q) = q**2 + 5*q + 1. What is the units digit of c(-5)?
1
Suppose 0 = 5*l - 2*i - 309, 3*l - 118 = 5*i + 56. What is the tens digit of l?
6
Let p = 115 + -82. What is the units digit of p?
3
Let g be 6/(-9)*3*11. Let b = -8 - g. Suppose -3*j = -j - b. What is the units digit of j?
7
Let i(j) = -j**2 + 5*j - 3. Suppose -x - 4 = -3*m - 6*x, 2*m + 2*x = 4. Suppose -s + 0*o = 5*o + 2, -m*s + 2*o = -11. What is the units digit of i(s)?
3
What is the units digit of 1 + -4 - -18*1?
5
Let p = -22 + 24. What is the units digit of p?
2
Let c be (-20)/6 + (-6)/9. Let t = 9 + c. Suppose 5*x = -4*y + 23 + 28, 5*x - 55 = -t*y. What is the units digit of x?
7
Let m(n) = n + 17. Let j be m(-15). Let v(a) = -2*a**2 + 2*a + 5*a**3 + a - 2 - 2*a**3. What is the tens digit of v(j)?
2
Suppose -2*i + 5*i = 69. Suppose 3*h + z = i - 3, 3*z = -4*h + 35. What is the units digit of h?
5
Let d be (-320)/(-6) - 8/(-12). Suppose -4*c + d = -c. What is the units digit of c?
8
Let b be (-8)/(2/1*-1). Suppose -n + b*n = 69. What is the units digit of n?
3
Suppose 3*s = 6*s. Let j = 8 + s. Suppose -4*w = 5*m + 3, -2*m = 2*w - 5*w - j. What is the units digit of m?
1
Let s(c) = c + 16. Let z = -10 - -10. What is the tens digit of s(z)?
1
What is the tens digit of ((-6)/4)/((-3)/264)?
3
Suppose 0 = 2*s + x - 35, 2*x = s + 4*x - 19. What is the tens digit of s?
1
Let q = -1 + 16. What is the units digit of q?
5
Let l(f) be the second derivative of -f**4/12 - f**3 + 7*f**2/2 - f. Let m be (1 - -2) + -5 + -4. What is the units digit of l(m)?
7
Let a = -46 - -108. What is the tens digit of a?
6
What is the tens digit of (-4 + 42/12)/((-1)/156)?
7
Let i be (-27)/(-4) + 18/(-24). Suppose 0 = -i*z + z - 70. Let b = -2 - z. What is the tens digit of b?
1
Let r(o) = 43*o - 21. What is the units digit of r(4)?
1
Let o(q) = 21*q. Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
True
Is 38478 a multiple of 3?
True
Is 50 a factor of 221750?
True
Is 70 a factor of 148102?
False
Is 2964060 a multiple of 396?
True
Is 810 a multiple of 54?
True
Is 146115 a multiple of 5?
True
Does 8 divide 31808?
True
Is 57 a factor of 282220?
False
Does 73 divide 486581?
False
Does 516 divide 507096?
False
Does 329 divide 680701?
True
Is 6742755 a multiple of 253?
False
Does 19 divide 115672?
True
Is 2027308 a multiple of 39?
False
Does 10 divide 15603658?
False
Is 949644 a multiple of 9?
True
Is 194808 a multiple of 40?
False
Is 75607 a multiple of 62?
False
Is 10 a factor of 1758745?
False
Is 8654130 a multiple of 13?
False
Is 11 a factor of 35369587?
True
Is 9831690 a multiple of 495?
True
Is 64 a factor of 75136?
True
Is 8 a factor of 591732?
False
Is 358 a factor of 260982?
True
Is 21980892 a multiple of 124?
False
Is 7 a factor of 2904433?
True
Is 46 a factor of 1942252?
False
Is 8808001 a multiple of 361?
False
Is 425995 a multiple of 19?
False
Is 21 a factor of 133959?
True
Is 589466 a multiple of 18?
False
Is 1149017 a multiple of 173?
False
Is 122099 a multiple of 2?
False
Is 18699339 a multiple of 64?
False
Is 154 a factor of 210988?
False
Does 16 divide 7735104?
True
Does 238 divide 1433104?
False
Is 55382 a multiple of 4?
False
Does 150 divide 1572110?
False
Is 43 a factor of 1294493?
False
Is 12 a factor of 248712?
True
Is 772 a factor of 643076?
True
Is 3 a factor of 511176?
True
Is 39 a factor of 5870904?
True
Is 6133320 a multiple of 81?
True
Is 1705369 a multiple of 621?
False
Is 37 a factor of 11283409?
True
Does 434 divide 5408320?
False
Does 60 divide 854040?
True
Is 6 a factor of 77056?
False
Does 4 divide 456013?
False
Is 384 a factor of 3114624?
True
Is 3120823 a multiple of 45?
False
Is 26 a factor of 59815?
False
Does 17 divide 52067?
False
Is 296 a factor of 239394?
False
Is 142 a factor of 2312896?
True
Is 5066556 a multiple of 586?
True
Is 130 a factor of 79950?
True
Is 55 a factor of 6260100?
True
Is 356 a factor of 921328?
True
Is 634716 a multiple of 81?
True
Does 100 divide 175600?
True
Does 73 divide 4769382?
True
Is 24570 a multiple of 6?
True
Is 39970 a multiple of 14?
True
Is 3233 a multiple of 17?
False
Is 62 a factor of 47642?
False
Is 16 a factor of 10736640?
True
Does 39 divide 84630?
True
Does 90 divide 4110210?
True
Does 691 divide 2054343?
True
Is 8 a factor of 79917?
False
Is 11063274 a multiple of 521?
False
Is 1079355 a multiple of 213?
False
Is 31 a factor of 4236026?
True
Is 666796 a multiple of 136?
False
Does 53 divide 558302?
True
Is 73216 a multiple of 4?
True
Is 1228938 a multiple of 18?
False
Does 104 divide 4340714?
False
Does 631 divide 53635?
True
Is 5827608 a multiple of 87?
True
Does 569 divide 363562?
False
Is 4 a factor of 20972?
True
Does 700 divide 707000?
True
Is 701442 a multiple of 20?
False
Is 673 a factor of 1043392?
False
Is 20 a factor of 726400?
True
Is 13897952 a multiple of 65?
False
Does 534 divide 30972?
True
Does 13 divide 54496?
True
Is 1082934 a multiple of 141?
False
Is 58023 a multiple of 2?
False
Is 153 a factor of 685929?
False
Is 181877 a multiple of 53?
False
Does 64 divide 2923255?
False
Is 68541 a multiple of 7?
False
Is 11 a factor of 16199?
False
Is 154 a factor of 512117?
False
Is 3438942 a multiple of 6?
True
Does 340 divide 534480?
True
Does 489 divide 5829599?
False
Is 8 a factor of 111487?
False
Is 623415 a multiple of 5?
True
Does 82 divide 6634002?
False
Is 743386 a multiple of 132?
False
Does 126 divide 1582699?
False
Is 223 a factor of 9405917?
True
Does 13 divide 66493?
False
Does 34 divide 66585?
False
Does 12 divide 4820640?
True
Is 11 a factor of 538725?
True
Does 850 divide 1085450?
True
Is 4991816 a multiple of 184?
False
Does 151 divide 755775?
False
Is 2252848 a multiple of 39?
False
Does 252 divide 152964?
True
Does 139 divide 995786?
False
Does 489 divide 594001?
False
Is 149655 a multiple of 55?
True
Does 2 divide 35230?
True
Does 27 divide 23512591?
False
Is 24 a factor of 118440?
True
Does 47 divide 18142?
True
Is 2206440 a multiple of 227?
True
Does 104 divide 499670?
False
Does 21 divide 343893?
False
Is 33 a factor of 603389?
False
Is 4064833 a multiple of 13?
False
Is 22 a factor of 870665?
False
Is 83559 a multiple of 7?
True
Is 334 a factor of 57853?
False
Is 39950 a multiple of 50?
True
Is 69 a factor of 140415?
True
Is 176 a factor of 9078608?
True
Is 468 a factor of 197496?
True
Is 6325947 a multiple of 107?
True
Is 24 a factor of 1782795?
False
Is 243597 a multiple of 39?
False
Is 6811085 a multiple of 10?
False
Does 3 divide 662769?
True
Is 97 a factor of 158320?
False
Is 30 a factor of 1232310?
True
Is 16 a factor of 472727?
False
Does 213 divide 4260213?
True
Is 6955624 a multiple of 8?
True
Is 1160620 a multiple of 27?
False
Is 20 a factor of 206420?
True
Is 10713530 a multiple of 869?
False
Is 451275 a multiple of 55?
True
Is 34760 a multiple of 158?
True
Is 31 a factor of 89533?
False
Is 267377 a multiple of 11?
True
Is 28604 a multiple of 79?
False
Does 12 divide 8650644?
True
Is 36 a factor of 57988?
False
Does 3 divide 32969?
False
Is 191 a factor of 215208?
False
Is 262 a factor of 1022586?
True
Is 20 a factor of 7755?
False
Is 131042 a multiple of 70?
False
Is 743 a factor of 3187515?
False
Is 320945 a multiple of 59?
False
Is 1418310 a multiple of 309?
True
Is 233 a factor of 10395503?
False
Is 34 a factor of 188972?
True
Is 2808821 a multiple of 31?
False
Is 446256 a multiple of 108?
True
Does 14 divide 465361?
False
Does 33 divide 140151?
True
Is 2389029 a multiple of 123?
True
Does 134 divide 5712554?
True
Does 23 divide 96297?
False
Is 182 a factor of 565474?
True
Is 884510 a multiple of 731?
True
Is 12 a factor of 400788?
True
Does 46 divide 2784360?
False
Is 155271 a multiple of 17?
False
Is 3764001 a multiple of 61?
False
Is 5 a factor of 60580?
True
Is 568 a factor of 406807?
False
Is 58 a factor of 573852?
True
Is 35245 a multiple of 95?
True
Is 200 a factor of 3613641?
False
Is 3541415 a multiple of 14?
False
Is 41 a factor of 1483596?
False
Does 64 divide 862400?
True
Does 52 divide 39283?
False
Is 484036 a multiple of 236?
True
Is 27 a factor of 327159?
True
Is 1872955 a multiple of 38?
False
Does 10 divide 453997?
False
Does 78 divide 16343?
False
Is 389620 a multiple of 22?
True
Is 8702783 a multiple of 547?
False
Is 81472 a multiple of 76?
True
Is 33367 a multiple of 86?
False
Does 27 divide 8685236?
False
Is 3 a factor of 4110474?
True
Is 7 a factor of 36064?
True
Is 67 a factor of 49602?
False
Is 92400 a multiple of 30?
True
Does 291 divide 889727?
False
Does 79 divide 72996?
True
Does 34 divide 3080363?
False
Is 10362 a multiple of 4?
False
Is 117520 a multiple of 10?
True
Is 68 a factor of 202239?
False
Is 655948 a multiple of 326?
False
Does 74 divide 324424?
False
Is 132975 a multiple of 15?
True
Is 857960 a multiple of 178?
True
Is 15 a factor of 4654816?
False
Is 499 a factor of 622807?
False
Is 45 a factor of 27720?
True
Is 651305 a multiple of 101?
False
Is 855730 a multiple of 10?
True
Is 109323 a multiple of 22?
False
Is 7 a factor of 1195496?
False
Does 6 divide 58860?
True
Is 13 a factor of 5096?
True
Is 73 a factor of 377395?
False
Is 12200594 a multiple of 17?
True
Does 20 divide 291600?
True
Is 40 a factor of 296960?
True
Is 241 a factor of 13666086?
False
Is 2822508 a multiple of 156?
True
Is 756012 a multiple of 12?
True
Does 244 divide 672958?
False
Is 201820 a multiple of 284?
False
Is 23849604 a multiple of 18?
True
Is 9069840 a multiple of 1140?
True
Does 302 divide 1196776?
False
Is 2847559 a multiple of 13?
True
Is 440385 a multiple of 51?
True
Is 49650 a multiple of 25?
True
Does 72 divide 11769557?
False
Is 9224 a multiple of 40?
False
Does 24 divide 9172951?
False
Does 12 divide 2211?
False
Is 97024 a multiple of 8?
True
Does 28 divide 116370?
False
Is 25 a factor of 374325?
True
Is 123 a factor of 124973?
False
Is 7 a factor of 1883?
True
Is 43 a factor of 292854?
False
Is 1072 a multiple of 269?
False
Is 1458906 a multiple of 34?
True
Does 1196 divide 849950?
False
Is 164 a factor of 2922753?
False
Is 626413 a multiple of 10?
False
Is 2894621 a multiple of 27?
False
Is 703 a factor of 1395709?
False
Is 22 a factor of 52989?
False
Does 269 divide 1400085?
Fal
|
{
"pile_set_name": "DM Mathematics"
}
|
-27657.789 to the nearest one thousand.
-28000
What is -0.00052322 rounded to five dps?
-0.00052
What is -0.00436398 rounded to five dps?
-0.00436
What is -449119310 rounded to the nearest 1000000?
-449000000
Round 18645000 to the nearest ten thousand.
18650000
Round 240.0538 to the nearest 10.
240
Round -7.132356 to the nearest integer.
-7
Round -4079.16 to the nearest 100.
-4100
What is 4732.9961 rounded to the nearest integer?
4733
What is -21.26578 rounded to one dp?
-21.3
Round -11.04374 to 2 decimal places.
-11.04
What is 0.01916647 rounded to 2 dps?
0.02
Round -0.930144 to 2 decimal places.
-0.93
Round 15553.3 to the nearest ten.
15550
Round -502.769 to the nearest ten.
-500
Round 0.0000058271 to 6 decimal places.
0.000006
What is 2352470 rounded to the nearest 100000?
2400000
Round 19.471514 to 2 dps.
19.47
Round -5999.5606 to the nearest 10.
-6000
Round 140.75825 to 2 decimal places.
140.76
Round 0.0000004650894 to 7 dps.
0.0000005
Round -13.06695 to two decimal places.
-13.07
Round -0.002727064 to six dps.
-0.002727
Round -104.79 to the nearest integer.
-105
Round -38232090 to the nearest 100000.
-38200000
What is 356685300 rounded to the nearest 1000000?
357000000
Round 0.000992511 to six dps.
0.000993
What is -0.598153 rounded to three dps?
-0.598
Round 0.0003961077 to 4 dps.
0.0004
Round 56704.9 to the nearest 10000.
60000
Round -0.0048342 to three dps.
-0.005
Round 0.019269169 to five dps.
0.01927
Round -0.0008092072 to six dps.
-0.000809
What is -0.00788887 rounded to three decimal places?
-0.008
Round -751163110 to the nearest one million.
-751000000
Round -2.72165 to 1 dp.
-2.7
What is -0.6694887 rounded to 1 decimal place?
-0.7
What is 0.000001472005 rounded to 7 decimal places?
0.0000015
Round 2157.4783 to the nearest one hundred.
2200
What is 0.00122238 rounded to 4 decimal places?
0.0012
Round 0.02515778 to four dps.
0.0252
What is 0.0002957997 rounded to five dps?
0.0003
Round 21.2107 to 1 decimal place.
21.2
Round 19.1827 to two decimal places.
19.18
What is -1625258000 rounded to the nearest one million?
-1625000000
Round -705758670 to the nearest one hundred thousand.
-705800000
What is -0.000008184726 rounded to six dps?
-0.000008
What is -57568.088 rounded to the nearest 1000?
-58000
What is -0.000667663 rounded to five decimal places?
-0.00067
What is 3.841978 rounded to one dp?
3.8
Round 2.392669 to three decimal places.
2.393
Round -185441000 to the nearest one million.
-185000000
Round -0.6929967 to 2 dps.
-0.69
What is -6520394.4 rounded to the nearest 1000000?
-7000000
What is 1823.524 rounded to the nearest 10?
1820
What is -0.004561443 rounded to four decimal places?
-0.0046
What is -0.00215581 rounded to four decimal places?
-0.0022
What is -171.2788 rounded to the nearest ten?
-170
Round -3.010336 to two decimal places.
-3.01
Round -1108858800 to the nearest one hundred thousand.
-1108900000
What is -1.00337003 rounded to 1 decimal place?
-1
Round 177483600 to the nearest one hundred thousand.
177500000
What is 0.0001717625 rounded to 6 decimal places?
0.000172
What is -482271.2 rounded to the nearest 1000?
-482000
Round -41007.342 to the nearest 10000.
-40000
Round 0.00000507158 to six decimal places.
0.000005
Round -1703218.6 to the nearest one hundred thousand.
-1700000
Round -0.01280725 to five dps.
-0.01281
What is 0.0000376235 rounded to seven dps?
0.0000376
What is 0.000000586912 rounded to seven decimal places?
0.0000006
What is 5981987 rounded to the nearest 1000000?
6000000
What is 0.00056173 rounded to 5 dps?
0.00056
What is 3904.34 rounded to the nearest 10?
3900
Round -0.0000005112371 to seven decimal places.
-0.0000005
What is -0.822661 rounded to 2 dps?
-0.82
Round -0.270471 to 2 dps.
-0.27
What is -1493.9119 rounded to one decimal place?
-1493.9
What is 166.7575 rounded to 1 decimal place?
166.8
Round -0.313207 to 2 dps.
-0.31
What is -0.0001034476 rounded to 7 decimal places?
-0.0001034
What is -14129.2 rounded to the nearest 1000?
-14000
Round 0.0000005622013 to 7 dps.
0.0000006
Round 15161810 to the nearest 10000.
15160000
Round 0.000228077 to 5 decimal places.
0.00023
What is -0.001231758 rounded to 5 decimal places?
-0.00123
Round -347.9 to the nearest one thousand.
0
Round 5.7639513 to one dp.
5.8
What is 4.613477 rounded to 2 dps?
4.61
Round -161.9341 to the nearest ten.
-160
What is 66.904589 rounded to the nearest ten?
70
Round 0.00001799194 to 6 dps.
0.000018
What is -1343836.6 rounded to the nearest one hundred thousand?
-1300000
Round 15.23208 to 2 decimal places.
15.23
Round -1150645 to the nearest 100000.
-1200000
What is -7195.9 rounded to the nearest one hundred?
-7200
Round 0.00002671501 to seven decimal places.
0.0000267
What is -5.252688 rounded to 3 dps?
-5.253
What is -0.000449968 rounded to five decimal places?
-0.00045
Round -3965.816 to the nearest one hundred.
-4000
Round -44.113 to one dp.
-44.1
Round 0.00000798337 to 7 dps.
0.000008
What is 0.00313627 rounded to four dps?
0.0031
Round -0.002704958 to five dps.
-0.0027
Round -7357381 to the nearest 10000.
-7360000
Round -964067 to the nearest 100000.
-1000000
Round -0.09504 to 3 dps.
-0.095
What is -0.000000707924 rounded to 7 dps?
-0.0000007
What is 0.0509988 rounded to three decimal places?
0.051
Round -0.00002709031 to 6 decimal places.
-0.000027
Round -306.2433 to one decimal place.
-306.2
Round -4365900 to the nearest 100000.
-4400000
Round -22.9015 to the nearest integer.
-23
What is -8275.3 rounded to the nearest one hundred?
-8300
What is -15755.72 rounded to the nearest one thousand?
-16000
What is -452428 rounded to the nearest 10000?
-450000
Round -0.0000079879 to 6 decimal places.
-0.000008
Round -0.000404487 to five decimal places.
-0.0004
What is -0.00419947 rounded to four decimal places?
-0.0042
Round -131279.7 to the nearest 10000.
-130000
Round 2902820 to the nearest 100000.
2900000
What is 8.41858 rounded to one decimal place?
8.4
What is -1984.154 rounded to the nearest integer?
-1984
What is 14.7322 rounded to the nearest 10?
10
Round -202211550 to the nearest one million.
-202000000
Round -0.03714 to one dp.
0
Round -1280301 to the nearest 1000.
-1280000
What is 0.00106263223 rounded to 6 decimal places?
0.001063
What is 3100.8617 rounded to the nearest one hundred?
3100
What is 33467975 rounded to the nearest one million?
33000000
What is -61416600 rounded to the nearest 1000000?
-61000000
What is 0.291052 rounded to two decimal places?
0.29
What is -22962140 rounded to the nearest 100000?
-23000000
Round -2189.583 to the nearest 100.
-2200
Round -1.1440337 to 1 decimal place.
-1.1
Round 0.000017895912 to seven dps.
0.0000179
Round 0.1097553 to three decimal places.
0.11
What is -334.8005 rounded to the nearest one hundred?
-300
Round 188690000 to the nearest 1000000.
189000000
What is -997534 rounded to the nearest 10000?
-1000000
Round 7427.652 to the nearest 100.
7400
Round 7550962.9 to the nearest 1000000.
8000000
Round -0.00000055217 to seven decimal places.
-0.0000006
What is 0.000020472 rounded to 5 dps?
0.00002
What is 4273.22 rounded to the nearest 10?
4270
What is -0.690854 rounded to one decimal place?
-0.7
Round -0.1677606 to 3 decimal places.
-0.168
What is 56250 rounded to the nearest 10000?
60000
What is 0.57906928 rounded to four dps?
0.5791
Round -2032.642 to the nearest ten.
-2030
What is 0.3826099 rounded to two decimal places?
0.38
What is 0.0011346391 rounded to four decimal places?
0.0011
What is -165.1304 rounded to the nearest 100?
-200
What is 0.01317868 rounded to 3 dps?
0.013
Round -0.0000022705581 to six dps.
-0.000002
What is 0.015701307 rounded to five dps?
0.0157
What is -21589.52 rounded to the nearest 1000?
-22000
Round 1824.239 to the nearest ten.
1820
Round 82.9874 to 1 dp.
83
What is -369273.2 rounded to the nearest 1000?
-369000
Round -3570479 to the nearest 1000000.
-4000000
What is -75219520 rounded to the nearest one million?
-75000000
What is -37.99528 rounded to 2 dps?
-38
What is -0.0000786247 rounded to 6 decimal places?
-0.000079
What is 1183825 rounded to the nearest 100000?
1200000
Round 1330274 to the nearest 100000.
1300000
What is -173.1213 rounded to 0 decimal places?
-173
What is -0.03074769 rounded to 4 decimal places?
-0.0307
Round 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
se 4*v = 16, 0 = -p + 2*v + n + 3. What is the tens digit of p?
1
Let t be (-4)/4 + 108/2. Suppose 3 + 17 = -p. What is the tens digit of p/(-50) + t/5?
1
Suppose -6*h + 3*h - 12 = 0. Let p = h - -71. Suppose 19 = -g + p. What is the tens digit of g?
4
Let p(d) = -133*d + 36. What is the hundreds digit of p(-4)?
5
Let m be 0 + 0 + 1628/11. Suppose -c = -4*i + c + m, 5*c = 0. Suppose 0 = -5*d, -5*p = -3*d + 7 - i. What is the units digit of p?
6
Suppose 12*z - 1584 = 8*z + 2*l, -4*l = 4*z - 1584. What is the tens digit of z?
9
What is the hundreds digit of 1137/(-2)*6/(-9)?
3
Let y be (-12)/4 + (-2 - -5). Suppose -5*i = 3*w - 30, y = -2*i + i - 4*w + 23. Suppose 8*t - 4*t + 97 = i*k, -t = -5*k + 139. What is the tens digit of k?
2
What is the units digit of (-168)/(-5) + 54/135?
4
Let q(g) = 9*g - 2 - 43 - 59*g + 16*g. What is the units digit of q(-6)?
9
What is the units digit of -695*(5 - 4)*-1?
5
What is the tens digit of 0 + 6 + (-17)/((-68)/368)?
9
Let j = -64 + 121. What is the tens digit of j*8/12*3?
1
Suppose 12 = -4*b, -152 = -5*y - 0*b + 4*b. Let l be 8/(3 + y/(-8)). Let p = -6 - l. What is the units digit of p?
0
Let g = -4011 + 7138. What is the tens digit of g?
2
Let z(m) = 2*m - 35. Let w be z(20). Suppose 2*i + w*i - 420 = 0. What is the units digit of i?
0
Suppose -5*p + 15 = 3*b, p - 3*b - 2*b - 31 = 0. Suppose 0 = -p*j + 33 + 21. What is the units digit of j?
9
Let o(m) = 32*m - 19. Let r be o(7). Let d = r - 66. What is the hundreds digit of d?
1
Suppose 0*q - 2*q - 34 = 0. Let p = q - -22. Suppose 0 = -p*c + 4 + 56. What is the units digit of c?
2
What is the units digit of (889 - 5)*4/8?
2
Suppose -v + 560 - 1550 = -4*w, 0 = 3*w + v - 739. What is the units digit of w?
7
Let l(x) = -x**3 - 16*x**2 + x + 4. Let n be l(-16). Let w(z) = -z**2 - 16*z - 18. What is the units digit of w(n)?
0
Suppose 2*u = -5*t + 1656, 130 - 3464 = -4*u + t. What is the hundreds digit of u?
8
Let c be 2/6*-1*-6. Suppose c*v + 0*v - 38 = 0. What is the units digit of v?
9
Let f(y) = 4 + y**2 + 2*y**2 + 0*y - 11*y. What is the tens digit of f(7)?
7
Suppose a - 76 = -5*i + 205, -a + 293 = -i. Let d = 547 - a. What is the hundreds digit of d?
2
What is the hundreds digit of (-4)/(-6) + 5360/15?
3
Let y(r) = 4*r + 19*r**3 - 2*r**2 + 98*r**3 - 3*r. Let f be y(1). Let m = -68 + f. What is the tens digit of m?
4
What is the units digit of (-1 + 2)*((11 - 10) + 3287)?
8
Let o(a) = 0*a**2 - 3*a**2 + 2 + a**2 - a**3 - a. Suppose 2*r = -7*p + 4*p - 6, 5*r = -2*p - 4. What is the units digit of o(p)?
4
Let v = 94 + -90. Suppose 3*t + l - 715 = -4*l, -2*t - v*l = -474. What is the units digit of t?
5
Suppose 6*h + v - 120 = 2*h, 0 = -3*h + 3*v + 105. Let a = 45 - h. Suppose 0 = -3*s + g + 82 + a, 2*s + 5*g = 81. What is the units digit of s?
3
Suppose 4*f = s + 139, 2*f - 3*s = 3*f - 51. Suppose 7*c - f = 3*c. What is the units digit of c?
9
Suppose 18 = -5*r - 2. Let c = 15 + r. What is the tens digit of c?
1
Let q(p) = -p**3 - 4*p**2 - 5. Let c be q(-5). Suppose c*v - 116 = 18*v. What is the units digit of v?
8
Let p = -3 - -6. Suppose -p*v = -445 - 68. Suppose 0 = 3*i + 5*b - v, -3*b - 228 = -i - 3*i. What is the units digit of i?
7
Let y = -5 - -10. Suppose -274 - 286 = -y*z. What is the tens digit of z/3 + (-18)/(-27)?
3
Suppose 0 = v - 5*m + 5, 0*m - m = 2*v - 1. Let o(g) = g**2 + 10 + 7 + 0 - 278*g + 15 + 279*g. What is the units digit of o(v)?
2
Let h(i) = -i**3 + 6*i + 2221. What is the tens digit of h(0)?
2
Suppose -4*y + 47 = v, 2*y + 7 = -5*v + 26. Let p(c) = 6*c + 36. What is the units digit of p(y)?
8
Suppose k = -5*r + 1722, 18*r - 3369 = -2*k + 23*r. What is the units digit of k?
7
Let u be 4/4 - (-320 - -1). What is the tens digit of (6/(-4))/((-24)/u)?
2
Let v(t) = t - 4. Let j be v(8). Suppose 0 = 7*y + j*y - 1364. What is the units digit of y?
4
Let o(j) be the third derivative of j**4/24 + 8*j**3/3 - j**2. Let z be o(-16). Suppose -u + 6*u - 165 = z. What is the tens digit of u?
3
Let y = 10 - 12. Let x = 40 + y. Let g = -20 + x. What is the tens digit of g?
1
Let q(c) = -c**2 + 2*c - 3. Suppose 1 + 1 = -m. Let w(g) = -4*g**2 + 7*g - 13. Let d(i) = m*w(i) + 9*q(i). What is the units digit of d(3)?
2
Let f(n) = -8*n - 147. What is the tens digit of f(-40)?
7
Let v be (1044/(-48))/((-3)/8). Let o(f) = f - 34. Let d be o(0). Let g = d + v. What is the units digit of g?
4
Suppose -1 - 13 = 2*p. Let y(t) = -t**2 - 8*t + 17. Let q be y(p). What is the units digit of q*(-2)/(8/(-12))?
2
What is the tens digit of ((-94704)/(-28))/3 + 12/(-28)?
2
Suppose 344*y - 10950 = 334*y. What is the thousands digit of y?
1
Let h be (-4)/6*(1 + -13). Let a be ((-942)/h)/(5/20). What is the tens digit of 2/(-5) - a/15?
3
Let x = -1432 - -2455. What is the units digit of x?
3
Suppose -2*u + 6*f - 3*f = -29, -11 = -u + 5*f. Suppose -4*m = -u, -3*m - 293 = -3*p - 35. What is the tens digit of p?
9
Let g(c) be the first derivative of c**3/3 + 7*c**2/2 - 6*c - 6. Let k be g(-6). Let i = k + 18. What is the units digit of i?
6
Suppose 3*n = 5*c - 51, 5*c + 4*n = 2*n + 66. What is the units digit of (-99 + -1)/(3*c/(-54))?
0
Let h(x) be the third derivative of 1/5*x**5 + 0*x - 1/3*x**4 + 0 - 1/120*x**6 + 3*x**2 + 3/2*x**3. What is the units digit of h(11)?
2
Let i(k) = 49*k + 9. Let l be i(2). Suppose -20 = 5*h, 4*h + 22 + 65 = -z. Let t = z + l. What is the tens digit of t?
3
Suppose 21*b + 8998 = 32*b. What is the hundreds digit of b?
8
Let v(l) = l**3 + l**2 - 2*l - 8. What is the units digit of v(3)?
2
Suppose 4*o - 3410 = -o. What is the tens digit of o?
8
Suppose 5*n = 10 - 0. Suppose -z - 2*m = 2*z - 13, 3*z - n*m = 5. Suppose 6*t - z*q - 92 = t, -4*q = 16. What is the tens digit of t?
1
Suppose -14*w + 6 = -11*w. Suppose k - 3*c - 31 = 0, 0 = 4*k - 7*c + w*c - 96. What is the units digit of k?
9
Let y be (-4)/(-30) - 6488/60. What is the units digit of y/15*(-15)/2?
4
Let p = 1913 + -869. What is the tens digit of p?
4
Suppose -1 = 4*d + 7. Let y be d/2*(6 - 8). Suppose y*t = 4*t - 30. What is the tens digit of t?
1
Let b(h) = 4*h - 2*h + 15*h. Suppose -4*i - 2 = -6. What is the tens digit of b(i)?
1
What is the hundreds digit of 0 + 635 - (-32)/(4 + 4)?
6
Suppose -8*y + 0*y = -3528. Suppose 1988 = 7*i - y. What is the units digit of i?
7
Suppose 19*x - 36352 = -5173. What is the units digit of x?
1
Let f = -47 - -74. Suppose 11*d - f*d + 1664 = 0. What is the units digit of d?
4
Suppose -26 = -5*j - 4*b, -22 = -5*j + 4*j - 5*b. Suppose -j*g = 4*g + 30. What is the units digit of ((-2)/(-5))/((-2)/g)?
1
Let v = -27 + 25. What is the units digit of ((v - 7) + (-1)/(-5))*-10?
8
Let f be 2/(1*(-6)/411). Let k = -89 - f. Let w = -32 + k. What is the units digit of w?
6
Let g be ((-2)/8)/(4/(-80)). Suppose g*l + 0*l - 20 = 0. Suppose 4*i = -l*j - 40 + 112, -2*i + j = -21. What is the tens digit of i?
1
Let i(m) = m**2 - 4*m - 6. Let c be i(5). Let t be (c + -2)/((-15)/10). Suppose -w = -t*d + 71, 30 - 2 = d + w. What is the tens digit of d?
3
Suppose 0*l - 15*l + 9420 = 0. What is the tens digit of l?
2
Suppose 2*k - 24 = -16. Suppose -511 = -3*l + k*h, 4 = 3*h - 2. What is the hundreds digit of l?
1
Let b be (1/1)/(1/8). Let g be (-4)/(b/(-198)) + -3. Suppose -24 = 3*s - g. What is the tens digit of s?
2
Let u = 735 + -434. Suppose 4*w + r - u = 0, 5*w - 608 = -4*r - 229. What is the tens digit of w?
7
Suppose -5*n = 235 + 65. Let b = n - -109. What is the units digit of b?
9
Suppose k = 350 + 459. What is the hundreds digit of k?
8
Let u be 60/(-8)*(-6)/9. Suppose -2*r = w - 59 - 47, 2*w + u*r = 213. What is the units digit of w?
4
Let w = 13 - 13. Suppose 8*v - 3*v + 25 = w. What is the units digit of (-16)/(-20)*v/(-2)?
2
Let s = -19 - -25. Let j(p) = 10*p + 12. Let q(r) = -3*r - 4. Let m(c) = 3*j(c) + 8*q(c). What is the units digit of m(s)?
0
Let o = 169 - 529. What is the tens digit of ((-4)/8)/(3/o)?
6
Suppose -5*o + 4*z + 578 = 0, -2*o + 3*o - 2*z - 118 = 0. Let y = 294 - o. Suppose 2*t - y + 70 = 0. What is the tens digit of t?
5
Let t(p) = 61*p**2 - 10*p - 103. What is the thousands digit of t(9)?
4
Suppose 197 = 3*a - 2*a + 4*p, 4*a - 755 = -5*p. Suppose 3*u = -2*u - a. Let o = 53 + u. What is the tens digit of o?
1
Let k(y) = 8*y**2 - 17*y - 98. W
|
{
"pile_set_name": "DM Mathematics"
}
|
d to the nearest 100?
-1617000
Round 28464.549 to the nearest 10.
28460
What is 34473649.4 rounded to the nearest one hundred thousand?
34500000
Round -470568.827 to the nearest one hundred thousand.
-500000
Round -501.48967 to the nearest ten.
-500
Round -553550.337 to the nearest ten thousand.
-550000
What is -279860678 rounded to the nearest 100000?
-279900000
Round 0.00140589701 to 6 dps.
0.001406
Round -0.000181180623 to four decimal places.
-0.0002
Round 0.08384050945 to three dps.
0.084
Round -3.4184959 to one decimal place.
-3.4
What is 0.090438383 rounded to 2 decimal places?
0.09
What is -4.053273511 rounded to three dps?
-4.053
What is -0.00306329084 rounded to five decimal places?
-0.00306
Round 732.31735 to 1 dp.
732.3
Round 0.0032989935 to seven dps.
0.003299
What is 0.01958440601 rounded to five dps?
0.01958
What is -2698395.243 rounded to the nearest 100000?
-2700000
What is -593474.181 rounded to the nearest 100?
-593500
Round 178731.8758 to the nearest 100.
178700
Round -0.166551865 to 3 dps.
-0.167
What is 215383.136 rounded to the nearest 100?
215400
Round -0.07256620662 to 5 decimal places.
-0.07257
What is 0.00265996227 rounded to 3 decimal places?
0.003
Round 96547866.1 to the nearest 10000.
96550000
What is 213.516102 rounded to the nearest 10?
210
What is -5297.4226 rounded to the nearest one hundred?
-5300
What is 0.0005926292103 rounded to four decimal places?
0.0006
Round 0.00045595666 to six decimal places.
0.000456
Round -0.008113469575 to 4 dps.
-0.0081
Round -0.0129743608 to four decimal places.
-0.013
Round -0.354579538 to four dps.
-0.3546
Round 0.00163904793 to seven dps.
0.001639
What is -5.98342425 rounded to one decimal place?
-6
Round -3276920.931 to the nearest one hundred thousand.
-3300000
Round 0.0699928588 to 3 dps.
0.07
Round -2.754281198 to zero dps.
-3
What is 0.2668307 rounded to 4 decimal places?
0.2668
Round -0.000185738723 to 5 dps.
-0.00019
Round -81613.579 to the nearest one thousand.
-82000
Round -1122.410947 to the nearest ten.
-1120
What is -25115.2371 rounded to the nearest 100?
-25100
Round 56388.311 to the nearest ten.
56390
What is 2314452.4 rounded to the nearest 10000?
2310000
Round 121.04311 to the nearest one hundred.
100
What is -1433.323742 rounded to one dp?
-1433.3
Round -11387.985 to 0 dps.
-11388
What is 102663622.5 rounded to the nearest one million?
103000000
Round 227598.23 to the nearest 10000.
230000
Round 8.19137056 to two decimal places.
8.19
What is 0.001562178651 rounded to six decimal places?
0.001562
What is -5374535497 rounded to the nearest one million?
-5375000000
Round 0.000258645935 to 5 dps.
0.00026
What is -42.93693971 rounded to three decimal places?
-42.937
Round -1614.75964 to zero decimal places.
-1615
What is -0.00001145168381 rounded to 7 decimal places?
-0.0000115
What is 0.200757749 rounded to five decimal places?
0.20076
Round 0.00176070212 to seven dps.
0.0017607
Round -975126.081 to the nearest one thousand.
-975000
What is 18725639.3 rounded to the nearest one million?
19000000
Round 0.003281302003 to four decimal places.
0.0033
What is -11665.4467 rounded to the nearest integer?
-11665
What is -24517.2187 rounded to the nearest 1000?
-25000
Round -310787705 to the nearest 1000000.
-311000000
What is -0.002057925915 rounded to 6 decimal places?
-0.002058
Round -0.943556408 to one decimal place.
-0.9
Round 0.00034084626 to 5 dps.
0.00034
Round -244138650 to the nearest 1000000.
-244000000
What is 0.00000115745854 rounded to seven decimal places?
0.0000012
Round -0.0003336503683 to five decimal places.
-0.00033
Round -357537.058 to the nearest 10000.
-360000
Round -144.267045 to the nearest one hundred.
-100
Round -0.00507319977 to three decimal places.
-0.005
What is 8861119 rounded to the nearest one million?
9000000
What is 2746548229 rounded to the nearest 1000000?
2747000000
Round -115.8842432 to 3 dps.
-115.884
What is -9194.5049 rounded to the nearest 100?
-9200
What is 12.82726861 rounded to 4 decimal places?
12.8273
What is 0.0001612927056 rounded to seven dps?
0.0001613
Round 8.783658213 to the nearest integer.
9
Round 36752440 to the nearest 10000.
36750000
Round -0.00033657876 to seven dps.
-0.0003366
Round 5306788.745 to the nearest 1000000.
5000000
What is 295047.711 rounded to the nearest 10000?
300000
Round 1.34947733 to 2 dps.
1.35
Round -8582550.83 to the nearest 10000.
-8580000
What is 0.264020697 rounded to 4 dps?
0.264
Round 8541684.96 to the nearest one million.
9000000
Round 0.00783368935 to three decimal places.
0.008
Round 29846.52026 to the nearest 10.
29850
Round 49.77579717 to the nearest ten.
50
Round 1117280680 to the nearest 100000.
1117300000
What is -3680513.56 rounded to the nearest one hundred thousand?
-3700000
Round 938566.81 to the nearest one thousand.
939000
Round 2472617730 to the nearest one hundred thousand.
2472600000
Round 72610804.1 to the nearest one thousand.
72611000
Round -187810.587 to the nearest 100.
-187800
What is -78770.6642 rounded to the nearest one thousand?
-79000
Round 0.382296816 to 4 dps.
0.3823
What is -0.580870169 rounded to three decimal places?
-0.581
What is 63311.723 rounded to the nearest 1000?
63000
Round 0.28960781 to 4 dps.
0.2896
Round -0.075619812 to 5 dps.
-0.07562
What is -75.9403811 rounded to the nearest 10?
-80
Round 103545.4596 to the nearest ten thousand.
100000
What is -22890682 rounded to the nearest 1000000?
-23000000
What is -0.001318362963 rounded to four dps?
-0.0013
What is 5985.08293 rounded to the nearest integer?
5985
Round 0.051723832 to two dps.
0.05
What is 8483303.3 rounded to the nearest 1000?
8483000
What is 304.8856728 rounded to one dp?
304.9
Round 24.918050891 to three dps.
24.918
Round -784.9299597 to the nearest ten.
-780
Round -928007 to the nearest 1000000.
-1000000
What is 8531404.6 rounded to the nearest 1000000?
9000000
Round 96060.4182 to the nearest one thousand.
96000
What is 4743.0088 rounded to the nearest one thousand?
5000
Round -16794.2015 to the nearest ten.
-16790
Round -7703.66623 to the nearest 1000.
-8000
What is -33348.7918 rounded to the nearest one thousand?
-33000
What is 0.8185568753 rounded to 2 dps?
0.82
What is -1769242.25 rounded to the nearest one thousand?
-1769000
What is -0.000521331604 rounded to 6 decimal places?
-0.000521
What is -0.0038020655 rounded to 3 dps?
-0.004
What is 2.834033552 rounded to four dps?
2.834
What is -54.4295307 rounded to 2 dps?
-54.43
What is 2788.178405 rounded to 0 dps?
2788
What is -0.1213079189 rounded to 1 dp?
-0.1
What is -0.01020735432 rounded to 3 decimal places?
-0.01
What is 549909.089 rounded to the nearest one hundred thousand?
500000
Round -247.928169 to 1 dp.
-247.9
What is -8039.485806 rounded to the nearest 100?
-8000
What is 36429475.66 rounded to the nearest 10000?
36430000
Round 2.862155086 to 2 decimal places.
2.86
What is -1.464173246 rounded to three decimal places?
-1.464
Round 1.862147783 to two decimal places.
1.86
Round -1133.52881 to 1 decimal place.
-1133.5
Round -3905534910 to the nearest 100000.
-3905500000
Round -0.000277570263 to 6 dps.
-0.000278
What is 152.79007909 rounded to 0 decimal places?
153
What is 10.88973279 rounded to one dp?
10.9
Round -8.5849134 to the nearest ten.
-10
Round -0.00329054151 to three decimal places.
-0.003
What is 0.0008578902 rounded to 5 dps?
0.00086
Round 0.544465355 to five dps.
0.54447
Round -10431731250 to the nearest one million.
-10432000000
What is -784.7465436 rounded to the nearest one hundred?
-800
What is 22002.67261 rounded to the nearest one hundred?
22000
Round 8584869700 to the nearest one million.
8585000000
What is -108272.03749 rounded to the nearest 10000?
-110000
What is 5950669.65 rounded to the nearest 1000?
5951000
What is -2174.707261 rounded to the nearest 100?
-2200
What is 0.00328884535 rounded to 5 dps?
0.00329
Round 0.0002177234525 to seven decimal places.
0.0002177
Round -1.71461997 to one dp.
-1.7
What is 0.0306063319 rounded to six dps?
0.030606
Round 4.4005618 to 0 dps.
4
What is -21468.5623 rounded to the nearest 100?
-21500
Round -0.261464323 to one dp.
-0.3
Round -0.000746602138 to four dps.
-0.0007
What is -48806808600 rounded to the nearest one million?
-48807000000
Round -0.0003557397
|
{
"pile_set_name": "DM Mathematics"
}
|
et u(d) = d**2 - 2*d + 10. What is the tens digit of u(5)?
2
Let r(v) = 5*v**2 - 4*v + 3. Let o be r(2). Suppose 2*k + 0*c = -c - o, 0 = k + c + 8. Let b = k + 11. What is the units digit of b?
4
Suppose 4*d + 5*h - 4*h - 143 = 0, 140 = 4*d + 4*h. What is the units digit of d?
6
Suppose 0 = -4*z + 2*m + 756, 750 = 4*z - m - 4*m. What is the hundreds digit of z?
1
Let g = 4 + -8. Let b = 15 + g. What is the units digit of b?
1
Suppose -3*o - 5*u + 434 = o, -4*u = -8. What is the hundreds digit of o?
1
Suppose -y = y - 20. Suppose -g + y = 2. What is the units digit of g?
8
Let x(z) = -z**2 - 5*z + 2. Let f be x(-4). Let o be f/27 - 25/(-9). Suppose 5 = -3*y + 2*y, o = 4*s + 5*y. What is the units digit of s?
7
Let f be (-4 - 0)*5/(-4). Suppose -p = -f*d - 25, 0 = -3*p + 2*d - 3*d + 11. Suppose -p*r + 28 + 2 = 0. What is the units digit of r?
6
Let r be (-54)/(-30)*5/1. Let h(n) = n**2 - n + 4*n**3 - r + 9. What is the units digit of h(1)?
4
Let z(b) = -b + 6. Let s be z(5). Let n be (-4 + 3)/(s/(-3)). Suppose 4*m - 23 = l, 5*m - n*l - 26 = l. What is the units digit of m?
6
Let c = -417 + 621. What is the units digit of c/48 + 6/8?
5
Let r(i) = -11*i - 11. Let x(o) = -5*o - 5. Let t(q) = 6*r(q) - 13*x(q). Let h be t(3). What is the units digit of (-74)/h + 9/(-6)?
7
Suppose -4*b = b - 10. Suppose 0 = d - 3*a - 8, -3*d + 5*a = b*a. Let g = 9 + d. What is the units digit of g?
5
Suppose 0 = -3*c - 13 - 14. Let u = 10 - c. What is the tens digit of u?
1
Let n = 2 - 3. What is the units digit of n*1*(-198)/11?
8
Suppose 11*r = 6*r + 20. Suppose 0 = i - 2*i + r. Suppose 2*o - 50 = -5*y, -78 = -i*o + 3*y - 30. What is the tens digit of o?
1
Suppose 3*v + 3*t + 2*t - 20 = 0, 4*v = 5*t + 85. Let s = v + -9. What is the units digit of s?
6
Suppose 5*y - 4*y = -35. Let n = y + 56. What is the units digit of n?
1
Let b be (-50)/(-30)*36/10. What is the tens digit of ((-58)/(-3))/(b/9)?
2
Suppose 4*z = -0*z + 12. Suppose -z*o - 6 = -108. What is the tens digit of o?
3
Suppose 2*x - x - 4*h - 8 = 0, -5*x - h = -61. Let q be 126/x*(-2)/(-3). Suppose -q*y = -5*y - 28. What is the tens digit of y?
1
Let u = 187 - 116. What is the tens digit of u?
7
Let l(v) = 2*v**2 + v - 1. Let f = -8 - -13. Let a be (f/10)/(2/4). What is the units digit of l(a)?
2
Let o = -1 - 3. Let h = 1 - o. Suppose 11 = h*v - 4. What is the units digit of v?
3
What is the tens digit of -1 + 114/10*(-1 - -6)?
5
Let a be (7/(-2) - -3)*-8. Suppose g - d = a, -2*d + 5 = 4*g - 5. Suppose g*j + i = 6 + 43, -56 = -4*j + i. What is the units digit of j?
5
Let n(g) = -2*g + 1. What is the units digit of n(-4)?
9
Let w be (-2*1)/(-2 - -4). Let t = w - -11. What is the units digit of t?
0
Let f be (-2)/4*2*5. Let a = f - -2. What is the units digit of a/(9/(-6)) + 0?
2
Let x(t) = -t**3 + 8*t**2 + 4*t + 5. What is the units digit of x(8)?
7
Let y = -6 - -10. What is the units digit of y?
4
Let g be -6 - (-2 + 0)*1. Suppose -x + 0*x + 2 = 0. What is the tens digit of 0 - 22*x/g?
1
Let u = 7 + -5. Suppose -u*x + 0 = -2. What is the units digit of x?
1
Suppose -o - 2*o = 2*a - 5, -a - 5*o + 6 = 0. What is the units digit of a?
1
Let a(r) = -r**3 + 3*r**2 - r - 3. Let i be a(3). Let q = i - -12. What is the units digit of q?
6
Suppose -s + 2 = -0. Suppose -s*o + 0*o = 0. Suppose o = -2*j - 0*j + 6. What is the units digit of j?
3
Let b(g) = g**2 - g. Let r be (-16)/24*(-3)/(-2). Let y(u) = -9*u**2 + 4*u - 1. Let d(p) = r*y(p) - 4*b(p). What is the units digit of d(-1)?
6
Suppose 0 = -2*j - 115 + 473. What is the tens digit of j?
7
Let f(a) = a**2 + a - 1. Let v be f(2). Suppose -3*n = 2*k - 94 - 1, 0 = -v*n - 3*k + 160. What is the units digit of n?
5
Let t(n) be the third derivative of -n**6/20 - n**5/60 + n**4/8 + n**3/6 - 6*n**2. What is the tens digit of t(-2)?
3
Let r(y) = 4*y**3 + 2*y**2 + 6*y. What is the units digit of r(3)?
4
Let k(i) = i**2 - 2*i + 7. What is the tens digit of k(-4)?
3
Suppose 4 - 2 = k. Suppose -3*r + 2*n = -15, r = -3*n + k*n. Suppose 0 = -5*d + r*d + 18. What is the units digit of d?
9
Let v be (4*(-100)/8)/1. Let j = 97 + v. What is the units digit of j?
7
Suppose s - 3*r - 23 = 0, 3*s + 3*r - 18 = 27. What is the tens digit of s?
1
Let w(x) = -17*x + 1. Let k be w(1). Suppose -2*h + 3*h = 6. What is the tens digit of k/(-24) - (-92)/h?
1
Let o(v) = -2*v - 19. What is the units digit of o(-11)?
3
Suppose 0*j = -4*j - 160. Let b = 79 + j. What is the units digit of b?
9
Let m(g) = -g**2 + 5*g - 11. Let v be m(8). Let y = v + 59. Suppose -6*d - 5*x = -2*d - y, 5*x = 2*d - 12. What is the units digit of d?
6
Let r = 60 - 32. What is the tens digit of r?
2
Suppose -42*s + 35*s + 133 = 0. What is the tens digit of s?
1
Let z(m) = -m**3 + 2*m + 56. What is the tens digit of z(0)?
5
Let s = -3 + 7. Suppose -1 - 8 = 3*r + s*m, -4*m = -r + 13. What is the units digit of r?
1
Let g = 23 - 53. Let f = -1 - g. What is the units digit of f?
9
Suppose 0 = -2*n + 8, 3*j - 2*n + 2 = 6. Suppose 5*m - y - 5 = 3*m, 0 = j*m + 3*y - 5. What is the units digit of m?
2
Suppose -c + 4*r + 74 = 11, -2*c + 5*r = -114. What is the units digit of c?
7
Let y = -320 + 496. What is the units digit of y?
6
Suppose -4 + 2 = -v. Suppose 0*p + 5*w = v*p + 8, p - 3*w = -5. What is the units digit of 8/(-2)*(0 - p)?
4
Let z(x) = x**3 - 3*x**2 - 2*x + 3. What is the units digit of z(4)?
1
What is the hundreds digit of 7/((-42)/(-822)) + (-2)/1?
1
Suppose -684 = -5*o - 2*h, o - 145 + 11 = h. What is the hundreds digit of o?
1
Suppose -218 = 4*x - 606. What is the tens digit of x?
9
What is the units digit of (-118)/(-4) + 4/8?
0
What is the tens digit of 2 - -18*((-60)/(-9) + -3)?
6
Let t = -103 + 162. What is the tens digit of t?
5
Let a(w) = 36*w**2 + w. What is the units digit of a(-1)?
5
Let r(k) = k**2 - 8*k + 5. Let v be r(8). Suppose p + 5*a = 4*p - v, -p = -a - 1. What is the units digit of (p - 1)*(-4 - -3)?
1
Let m be (-50)/(-8) + (-2)/8. Suppose -2*y + m - 2 = 2*r, 0 = -4*y + r - 2. Suppose y = 5*w - x - 6 - 2, 4*x = 3*w - 15. What is the units digit of w?
1
What is the tens digit of 8*((-2 - -1) + 5)?
3
Suppose -3*n = 2*n. Suppose 2 = -n*k + k. What is the tens digit of ((-1)/2)/(k/(-40))?
1
Let u be (-3 - 0 - -2) + 4. Suppose 0*z + u*z = 5*y - 19, -2*z + 14 = 2*y. What is the units digit of y?
5
Suppose 5*g - 8 = 2. Suppose 0 = -u - 2*u + 12. Suppose -24 = -3*r - g*j, -4*r = u*j - 9*j - 32. What is the units digit of r?
8
Let z(f) = f**3 - 3*f**2 + f + 2. Let c be z(2). Let i be (c + -4)*(-1 + 2). What is the units digit of (-34)/(-6) + i/(-12)?
6
Let p = 2 + -1. Let r(m) = -3*m + m + 8*m - p. What is the units digit of r(1)?
5
Suppose 2*r = 4*r. Suppose -2*v - v - 12 = r. What is the units digit of (1 + -2)/1*v?
4
Suppose -3*t + 15 = -0*t + 3*m, t = -5*m + 13. Suppose 0 = 6*q - t*q - 12. Suppose q*c + 4*o + 4 = 0, -3*c - 2 = 4*o + 6. What is the units digit of c?
4
Suppose -y + 54 = -4*y. What is the units digit of -1 + 1 - -3 - y?
1
Let m(s) = -s**2 + 1. Let y(o) = 7*o**2 - 2*o - 10. Let j(p) = 6*m(p) + y(p). What is the tens digit of j(5)?
1
Let l(h) = 2*h**2 - 5. Let s be l(3). Let o = s + 10. What is the units digit of o?
3
Let d = 6 - 1. Let o(a) = -5*a + 4. Let v(f) = -f + 1. Let r(k) = -o(k) + 4*v(k). What is the units digit of r(d)?
5
Let g(f) = -f. Let p be (-112)/10 - 4/(-20). What is the tens digit of g(p)?
1
What is the tens digit of (-2)/(-9) + 4204*(-6)/(-216)?
1
Let n(t) = t**2 + 2*t - 1. Let c be n(-3). Let g = c + 1. Suppose -g*v + 4 = -2. What is the units digit of v?
2
Suppose 5 = -5*v + 10. Let c = v - -10. What is the tens digit of c?
1
Let g be 1 + 0 + 6/3. Suppose 0 = -g*k + 5*l + 2 + 19, -5*k - 2*l = -66. What is the tens digit of k?
1
Suppose 5*k - 2 = 8. Suppose -3*z = 2*x + 18, 4*z + k*x + 7 = -17. What is the units digit of 78/9 + z/9?
8
Let g = -26 - -6. Let j = g - -31. What is the units digit of j?
1
Let b be (-27)/(-15) + 1/5. Let k(r) = r + 5. Let x be k(0). Suppose b*c - x*c + 36 = 0. What is the units digit of c?
2
What is the tens digit of 22/(((-45)/(-60))/((-6)/(-4)))?
4
Let m = -12 - 10. Let h = m - -37. What is the tens digit of h?
1
Let d(b) = b**3 + 29*b**2 + 24*b + 20. What is the units digit of d(-28)?
2
Suppose -4*a + 4*v + 26 = -10, 6 = 2*v. Let r
|
{
"pile_set_name": "DM Mathematics"
}
|
icked without replacement from yyytyyddyoyyqzyytyyy?
13/29070
What is prob of sequence dm when two letters picked without replacement from {m: 4, u: 1, h: 1, t: 2, d: 1}?
1/18
What is prob of sequence fllf when four letters picked without replacement from llllfllllflfllfffl?
11/204
Calculate prob of sequence su when two letters picked without replacement from {o: 2, f: 1, u: 2, e: 6, s: 3}.
3/91
What is prob of sequence ryue when four letters picked without replacement from {e: 1, y: 1, r: 4, a: 8, u: 3}?
1/4760
What is prob of sequence jffk when four letters picked without replacement from {j: 1, v: 1, o: 1, f: 2, k: 4}?
1/378
Three letters picked without replacement from zxpppxdpxdzppsdxpod. What is prob of sequence xps?
14/2907
Calculate prob of sequence zz when two letters picked without replacement from zzvzv.
3/10
Calculate prob of sequence uz when two letters picked without replacement from {z: 12, n: 3, u: 3}.
2/17
What is prob of sequence tu when two letters picked without replacement from iwtihuituit?
3/55
Calculate prob of sequence aad when three letters picked without replacement from aaaaadaadaaadaaaaaaa.
34/285
Calculate prob of sequence ili when three letters picked without replacement from klkillillii.
2/33
Calculate prob of sequence mnd when three letters picked without replacement from nmndnnnmddnmnd.
1/26
Three letters picked without replacement from {d: 3, u: 1, v: 5}. What is prob of sequence udv?
5/168
What is prob of sequence kff when three letters picked without replacement from {f: 2, k: 2}?
1/6
Three letters picked without replacement from fboqbvo. Give prob of sequence bov.
2/105
Calculate prob of sequence llol when four letters picked without replacement from lloolmoo.
1/70
Calculate prob of sequence jeje when four letters picked without replacement from {e: 10, j: 2}.
1/66
What is prob of sequence bby when three letters picked without replacement from yyybybyyyyyy?
1/66
Calculate prob of sequence ee when two letters picked without replacement from {e: 3, k: 2, a: 3, h: 1, o: 1, p: 3}.
1/26
Two letters picked without replacement from {x: 2, r: 1, k: 3, j: 1}. What is prob of sequence rj?
1/42
Four letters picked without replacement from {f: 7, l: 1, v: 2}. Give prob of sequence lffv.
1/60
Four letters picked without replacement from {n: 19, a: 1}. Give prob of sequence nnnn.
4/5
What is prob of sequence gd when two letters picked without replacement from {d: 2, g: 2}?
1/3
Four letters picked without replacement from {b: 6}. Give prob of sequence bbbb.
1
Two letters picked without replacement from iiididiiidii. Give prob of sequence ii.
6/11
Three letters picked without replacement from cqzqr. Give prob of sequence qzq.
1/30
Two letters picked without replacement from {w: 4, k: 2, f: 1, c: 6}. Give prob of sequence ww.
1/13
Four letters picked without replacement from {z: 1, y: 7}. Give prob of sequence yyzy.
1/8
Calculate prob of sequence rnn when three letters picked without replacement from nrnrrnrrbbnrrnbr.
1/21
What is prob of sequence xx when two letters picked without replacement from {x: 2, s: 6}?
1/28
Calculate prob of sequence oez when three letters picked without replacement from {z: 7, e: 2, d: 8, o: 1}.
7/2448
Four letters picked without replacement from {p: 1, b: 8, o: 11}. Give prob of sequence oopo.
11/1292
Calculate prob of sequence jvh when three letters picked without replacement from jvhmjujommmj.
1/330
What is prob of sequence ocyo when four letters picked without replacement from oocy?
1/12
Four letters picked without replacement from {h: 9, y: 10}. Give prob of sequence hhyy.
45/646
Calculate prob of sequence zz when two letters picked without replacement from {z: 3, i: 1}.
1/2
Calculate prob of sequence fc when two letters picked without replacement from {f: 2, h: 4, c: 1, t: 4}.
1/55
Calculate prob of sequence uw when two letters picked without replacement from mugtttuwgtmgumxut.
1/68
Three letters picked without replacement from {s: 1, l: 1, f: 2}. What is prob of sequence fls?
1/12
Four letters picked without replacement from aaaaauuuaauaauaaaaaa. Give prob of sequence uaaa.
455/3876
What is prob of sequence bb when two letters picked without replacement from {w: 11, d: 5, b: 2, z: 1}?
1/171
Three letters picked without replacement from {d: 1, j: 1, n: 2, k: 5, w: 6, m: 5}. What is prob of sequence mmj?
1/342
Two letters picked without replacement from {y: 3, p: 3, u: 2, s: 1, m: 1, v: 2}. What is prob of sequence uy?
1/22
Calculate prob of sequence uus when three letters picked without replacement from uuuuusuuuuusu.
5/39
Four letters picked without replacement from ddkejdjhhkwkekkdkde. What is prob of sequence heej?
1/3876
Three letters picked without replacement from njjkwwwkn. Give prob of sequence njk.
1/63
Two letters picked without replacement from {d: 1, j: 2}. Give prob of sequence dj.
1/3
Two letters picked without replacement from {y: 1, q: 7, u: 1}. Give prob of sequence qu.
7/72
Calculate prob of sequence bb when two letters picked without replacement from {b: 5}.
1
Three letters picked without replacement from kttq. What is prob of sequence ttk?
1/12
Two letters picked without replacement from ccmthkmkkm. What is prob of sequence ct?
1/45
Four letters picked without replacement from {u: 2, f: 3}. What is prob of sequence ffuu?
1/10
Calculate prob of sequence uvss when four letters picked without replacement from xsssxsesussxxvvev.
3/1360
Calculate prob of sequence ttdn when four letters picked without replacement from {d: 4, t: 4, u: 3, n: 7}.
7/1530
What is prob of sequence gv when two letters picked without replacement from euvvuytvuegvvvt?
1/35
Calculate prob of sequence kqe when three letters picked without replacement from kwseqkk.
1/70
Calculate prob of sequence ki when two letters picked without replacement from {k: 3, i: 5, a: 8}.
1/16
Four letters picked without replacement from orrfufrzuzro. Give prob of sequence rfzu.
4/1485
Calculate prob of sequence fuh when three letters picked without replacement from bbggfhdu.
1/336
Three letters picked without replacement from iaiiififfiiiiia. Give prob of sequence aff.
2/455
Three letters picked without replacement from {j: 1, r: 1, v: 1, d: 2, t: 1, h: 2}. Give prob of sequence vhd.
1/84
Four letters picked without replacement from {y: 2, l: 2, o: 1, f: 1, k: 1, t: 1}. What is prob of sequence fyky?
1/840
Calculate prob of sequence uxjx when four letters picked without replacement from {n: 2, u: 2, y: 1, c: 1, x: 2, j: 1}.
1/756
Four letters picked without replacement from yyyyxbxxixpyy. What is prob of sequence bxip?
1/4290
Calculate prob of sequence dl when two letters picked without replacement from {b: 1, y: 1, l: 1, d: 1, n: 3}.
1/42
Two letters picked without replacement from {l: 1, p: 2}. Give prob of sequence pp.
1/3
What is prob of sequence pzt when three letters picked without replacement from ztpttptttttptttt?
3/280
Three letters picked without replacement from {m: 4, v: 1, y: 1, l: 2, k: 1}. What is prob of sequence mlv?
1/63
What is prob of sequence dqd when three letters picked without replacement from {d: 1, q: 3, w: 11}?
0
Three letters picked without replacement from {y: 9, p: 2}. What is prob of sequence ppy?
1/55
Four letters picked without replacement from {j: 9}. What is prob of sequence jjjj?
1
What is prob of sequence ssb when three letters picked without replacement from {b: 1, s: 19}?
1/20
Four letters picked without replacement from vvvvecvvvvbcev. What is prob of sequence bcve?
3/2002
Three letters picked without replacement from {g: 5, c: 4, n: 1, r: 3}. What is prob of sequence gnc?
5/429
Calculate prob of sequence jy when two letters picked without replacement from {s: 3, y: 1, x: 5, j: 4}.
1/39
What is prob of sequence fnzf when four letters picked without replacement from {j: 5, q: 4, f: 3, n: 1, l: 3, z: 1}?
1/9520
Four letters picked without replacement from heeeehhheee. What is prob of sequence hehh?
7/330
Two letters picked without replacement from tzzzttynlnty. What is prob of sequence zy?
1/22
Calculate prob of sequence mp when two letters picked without replacement from zcapllm.
1/42
What is prob of sequence xmd when three letters picked without replacement from wxwxmmmmymhdmmm?
8/
|
{
"pile_set_name": "DM Mathematics"
}
|
rt 5/2, -27, 19.23, 879 in ascending order.
-27, 5/2, 19.23, 879
Put 6086, 1, 13, -2, 3, -3 in increasing order.
-3, -2, 1, 3, 13, 6086
Put 212, -349, -33, 3 in descending order.
212, 3, -33, -349
Sort -3, 9, -8, -5, 97932.
-8, -5, -3, 9, 97932
Sort 4, -17, 10220, 3, -5 in decreasing order.
10220, 4, 3, -5, -17
Sort 2, -0.14, -64035 in decreasing order.
2, -0.14, -64035
Sort -1/3, 3/40, 3, -6/7, 0.7, -5 in ascending order.
-5, -6/7, -1/3, 3/40, 0.7, 3
Sort 0.2, 2, -31/6, -0.03, 50, -5 in descending order.
50, 2, 0.2, -0.03, -5, -31/6
Sort 64/43, -44.82, 2 in decreasing order.
2, 64/43, -44.82
Sort 0, 5139, -5, 11, -0.2, 4, -11.
-11, -5, -0.2, 0, 4, 11, 5139
Sort 18, 46, 488767 in increasing order.
18, 46, 488767
Sort 30/13, 1/3, 0.1, 460, -1, 4 in descending order.
460, 4, 30/13, 1/3, 0.1, -1
Sort 1/6, -0.19, -2095.7 in descending order.
1/6, -0.19, -2095.7
Put 0, 17, 45, 4, -60, -7, 3 in descending order.
45, 17, 4, 3, 0, -7, -60
Put 0, -24, 0.06, -6.3, 2, -5 in descending order.
2, 0.06, 0, -5, -6.3, -24
Put -13, 13/3, -0.09, -5, 0.009 in decreasing order.
13/3, 0.009, -0.09, -5, -13
Sort -309, -3, -4, 348, -15, 5 in increasing order.
-309, -15, -4, -3, 5, 348
Sort 2207, -4, -3, 11, -1.
-4, -3, -1, 11, 2207
Put -14, 60, 5, 2, -2823 in increasing order.
-2823, -14, 2, 5, 60
Sort 1, -2, 3741, 2, -74 in increasing order.
-74, -2, 1, 2, 3741
Put 235.1, -11/12897, -1 in decreasing order.
235.1, -11/12897, -1
Sort 91, -2, 1219.
-2, 91, 1219
Put -238, 246, 46, 1, -2 in descending order.
246, 46, 1, -2, -238
Sort 3, 99, -37166 in increasing order.
-37166, 3, 99
Sort -0.2, -3, -350/17579 in ascending order.
-3, -0.2, -350/17579
Put 3, 1, -1, -3, 414, 20 in increasing order.
-3, -1, 1, 3, 20, 414
Sort 2, -119, 0.0259, -1.46 in descending order.
2, 0.0259, -1.46, -119
Put -4, -2, 3/35, -160.36, 1, 5 in decreasing order.
5, 1, 3/35, -2, -4, -160.36
Put -32, 0, 4220, -1, -6 in ascending order.
-32, -6, -1, 0, 4220
Put 19, 3, -26, -2, -3, -4, -6 in increasing order.
-26, -6, -4, -3, -2, 3, 19
Put 1863, 21, 17/3, 2 in descending order.
1863, 21, 17/3, 2
Sort 2, 7, 254530, -18 in decreasing order.
254530, 7, 2, -18
Put 0, 0.38, 202.325 in increasing order.
0, 0.38, 202.325
Sort 37, -1, -19, -156, 19, 4, 2.
-156, -19, -1, 2, 4, 19, 37
Sort 3, 4, -4, -3456, 1, 44.
-3456, -4, 1, 3, 4, 44
Sort -6, -389, 22 in increasing order.
-389, -6, 22
Put -3, -5, -4, 29709, 62 in descending order.
29709, 62, -3, -4, -5
Put -16/3, -6/11, 0, -65, 0.02 in increasing order.
-65, -16/3, -6/11, 0, 0.02
Put -0.3, 0.4654, 0.0077, 0, 0.4 in descending order.
0.4654, 0.4, 0.0077, 0, -0.3
Put 3, 1, -115866, -1, -2 in increasing order.
-115866, -2, -1, 1, 3
Put 4, -3, 5, -1131, 11, -12, 63 in descending order.
63, 11, 5, 4, -3, -12, -1131
Sort -0.4, 11/221, -0.25, 0.12, -4.
-4, -0.4, -0.25, 11/221, 0.12
Sort 186, -1/3, 0.2, -8, 7, 6.
-8, -1/3, 0.2, 6, 7, 186
Sort 0, 33, 183, 158, -3 in ascending order.
-3, 0, 33, 158, 183
Sort -3, -104, -93, 736 in ascending order.
-104, -93, -3, 736
Put 11, 3, -9, -5, -52 in ascending order.
-52, -9, -5, 3, 11
Sort -97.4, 5, -5, 0.38, 2/23.
-97.4, -5, 2/23, 0.38, 5
Sort 20/7, 26945/4, 5.
20/7, 5, 26945/4
Sort 2, -1/5, -244, -5501, -1 in ascending order.
-5501, -244, -1, -1/5, 2
Sort 1/1126927, -0.4, -63/5 in increasing order.
-63/5, -0.4, 1/1126927
Put 1/4, 3/281, 8, -3/8, -27 in decreasing order.
8, 1/4, 3/281, -3/8, -27
Sort -3687, 227, 4 in ascending order.
-3687, 4, 227
Put 11, -5, -4, -2365, 40 in descending order.
40, 11, -4, -5, -2365
Sort -3434, 1604, 20 in descending order.
1604, 20, -3434
Sort 3, 5, -2500, -3, -4, -2.
-2500, -4, -3, -2, 3, 5
Sort -7, 18, -12, 2122, 1.
-12, -7, 1, 18, 2122
Put 4, -2, 14, -216, -5, 41, 3 in increasing order.
-216, -5, -2, 3, 4, 14, 41
Sort -5, 5, -15, 11, 0, -16, -1644.
-1644, -16, -15, -5, 0, 5, 11
Sort -19, -1649, -854 in decreasing order.
-19, -854, -1649
Put -7, 4, 85, -21, -5, -14, -4 in increasing order.
-21, -14, -7, -5, -4, 4, 85
Put 2, -4, -31832010 in descending order.
2, -4, -31832010
Sort 1.5, -3, 1/2, 5767, 7 in ascending order.
-3, 1/2, 1.5, 7, 5767
Sort 5, 2949, 1379 in decreasing order.
2949, 1379, 5
Put 59771, 0.4, 4/7, -127 in ascending order.
-127, 0.4, 4/7, 59771
Put 5, 1, -2, -0.4, -16.6, -29, -8 in increasing order.
-29, -16.6, -8, -2, -0.4, 1, 5
Put -1, -3, 52, 0.0024, 3 in descending order.
52, 3, 0.0024, -1, -3
Sort 63, -3, -2, 1, -56134, -5 in descending order.
63, 1, -2, -3, -5, -56134
Put 17, 0, -103, 2, 268, 1, -4 in descending order.
268, 17, 2, 1, 0, -4, -103
Sort 45, 15, -2, -3/8, 0.4, 95 in increasing order.
-2, -3/8, 0.4, 15, 45, 95
Put 1/14, -73989, 4 in descending order.
4, 1/14, -73989
Sort -10, 2, 8, -2, -4832 in decreasing order.
8, 2, -2, -10, -4832
Put 4, 316, 16, -5, 135, -4 in decreasing order.
316, 135, 16, 4, -4, -5
Sort 2/59, -1, 0.9, -74, 2.
-74, -1, 2/59, 0.9, 2
Put -0.4, 2/9, 1/16, -2021 in decreasing order.
2/9, 1/16, -0.4, -2021
Sort -42, -1271, -12, -13, 4 in decreasing order.
4, -12, -13, -42, -1271
Sort -0.5, 2047043, 2/3, -11.
-11, -0.5, 2/3, 2047043
Sort -2, -539, -6727.
-6727, -539, -2
Sort 0, -120877, -5, -4, 3, 2 in increasing order.
-120877, -5, -4, 0, 2, 3
Put -0.17583, -1.493, 5 in increasing order.
-1.493, -0.17583, 5
Put 5, -1/3, 4/3183083 in decreasing order.
5, 4/3183083, -1/3
Put 1, 3968474, 2, -2 in ascending order.
-2, 1, 2, 3968474
Put 3, -1/6, 2/7, 1135, 5, -252 in ascending order.
-252, -1/6, 2/7, 3, 5, 1135
Sort 57850, 237, 5 in ascending order.
5, 237, 57850
Put -4, 1, -4866, 1234 in descending order.
1234, 1, -4, -4866
Put -326, -2, -227, 4, -1, -4, -3 in decreasing order.
4, -1, -2, -3, -4, -227, -326
Sort 4, -46, -36, 5, -29, -5, -3.
-46, -36, -29, -5, -3, 4, 5
Put 0.3, 0.1, -411, 3, 4, -17/4 in increasing order.
-411, -17/4, 0.1, 0.3, 3, 4
Put 1/3, 3, -37, -13/5, 706, 0.4 in ascending order.
-37, -13/5, 1/3, 0.4, 3, 706
Sort -1, 149865, 985.
-1, 985, 149865
Put -1783/8, 17, 2/7, -2/21, 1 in increasing order.
-1783/8, -2/21, 2/7, 1, 17
Put -2, 2, 96, 3, 5, 23, 48 in descending order.
96, 48, 23, 5, 3, 2, -2
Put -0.5, 0, -99, -1, -1/3, -28 in decreasing order.
0, -1/3, -0.5, -1, -28, -99
Sort 25, -615, 4, 0, 1, -5, -3 in descending order.
25, 4, 1, 0, -3, -5, -615
Sort -232, 3/10, -0.29004 in increasing order.
-232, -0.29004, 3/10
Sort 61.847, -2, 8, 0, 1 in descending order.
61.847, 8, 1, 0, -2
Put 8, 142, -6, 1, -5, -3, 2 in descending order.
142, 8, 2, 1, -3, -5, -6
Put 0, -5, 53055, -19 in decreasing order.
53055, 0, -5, -19
Sort 2/23, 1/4, 1/11, -13, 77/3 in descending order.
77/3, 1/4, 1/11, 2/23, -13
Sort -5, 91, -1, 3, 2, 1, -62.
-62, -5, -1, 1, 2, 3, 91
Sort 0.13, 20/249, 0.2, -0.1 in ascending order.
-0.1, 20/249, 0.13, 0.2
Put 817, -4, 15129, 5, -2, 0 in descending order.
15129, 817, 5, 0, -2, -4
Sort -6, 1/8, 0.2, 89, -1/40, -2/17 in increasing order.
-6, -2/17, -1/40, 1/8, 0.2, 89
Put -3, 1359, -5, 4, -2, 543 in decreasing order.
1359, 543, 4, -2, -3, -5
Sort -2178, -25, 126.
-2178, -25, 126
Sort -103807, 47, 3.
-103807, 3, 47
Put -170, 675, 1, -3, 4 in descending order.
675, 4, 1, -3, -170
Sort -3, -4, 179, -47 in decreasing order.
179, -3, -4, -47
Put 31, -1, 0.1, -0.28, -2/9 in decreasing order.
31, 0.1, -2/9, -0.28, -1
Sort -5, 5, 14, -12, -146, -3, -24.
-146, -24, -12, -5, -3, 5, 14
Sort 1.19, 0.11, -18.27 in increasing order.
-18.27, 0.11, 1.19
Put -33, -1, -732, 10 in descending order.
10, -1, -33, -732
Sort 1, 4, -398, 8, 848.
-398, 1, 4, 8, 848
Sort -165/7, 4, -5, -179, 20, -3 in increasing order.
-179, -165/7, -5, -3, 4, 20
Put -13, 2, -1, 9, 1, 12, 5 in ascending order.
-13, -1, 1, 2, 5, 9, 12
Put -1/163, -196/5, 2, 0.2, 0.06 in descending order.
2, 0.2, 0.06, -1/163, -196/5
Sort 5145, 4, 3, -4, 0, 117.
-4, 0, 3, 4, 117, 5145
Sort 6186, 1, -3949 in descending order.
6186, 1, -3949
Put -111, -3, 1, 7, 0, 3 in descending order.
7, 3, 1, 0, -3, -111
Sort 4, 3, -0.55, 32, -1, -1.3 in decreasing order.
32, 4, 3, -0.55, -1, -1.3
Sort -1, -8, -9, 139, 40 in descending order.
139, 40, -1, -8, -9
Put -66166, -3, -2, -6, 0.2 in descending order.
0.2, -2, -3, -6, -66166
Sort -18, 1, -5, 6, -1485, 4, -2.
-1485, -18, -5, -2, 1, 4, 6
Sort 5, -13, -2/7, -8, 0.04, 8/701.
-13, -8, -2/7, 8/701, 0.04, 5
Put 0.53, -439810, 0.
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{
"pile_set_name": "DM Mathematics"
}
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0.3, c, m in descending order.
c, m, 0.3
Let r be (-1 + -7)/((-140)/(-420)). Put 1, -3, 5, r, 0 in descending order.
5, 1, 0, -3, r
Let l = 305/26992 - 4/1687. Put 5, l, 0.04, 1/6 in increasing order.
l, 0.04, 1/6, 5
Suppose 10*y = -6*y + 832. Let o be (-7 - 0)*y/(-7). Suppose -o*b + 49*b + 6 = 0. Put 5, b, 6 in decreasing order.
6, 5, b
Suppose 0 = -158*s + 124*s - 194*s + 228. Sort 0.5, 0, -2/7, -1/6, s in descending order.
s, 0.5, 0, -1/6, -2/7
Let u = -4 - -4.09. Let d = 0.14 - u. Let n = -919 - -915. Sort n, d, -2/9.
n, -2/9, d
Let d = 6003 + -6003. Sort -3, d, -5, -2, -29 in decreasing order.
d, -2, -3, -5, -29
Let u = 26670 - 26672. Let a = 4 - -7. Let c = 4 + a. Put -2/3, c, u in decreasing order.
c, -2/3, u
Let x be (-1)/((-72)/(-34)) - 148/(-592). Let n be ((-24)/(-16))/((-2)/4). Put n, x, -2/35 in decreasing order.
-2/35, x, n
Let a be 1/(-4) - 1*-1. Let t = 30116.7 + -30117. Put t, a, 2/3, -2/11 in increasing order.
t, -2/11, 2/3, a
Let g = -2011 - -2005. Sort 0.9, 0.2, g in increasing order.
g, 0.2, 0.9
Let l = 412 - 9474/23. Sort -2, -2/5, l in increasing order.
-2, -2/5, l
Let k = 15740/33 - 477. Let o = -24.3 - -22.3. Put 5, o, k in increasing order.
o, k, 5
Let t = 3 - 2.8. Let f = 2829/8 + -354. Let l = -249 + 245. Sort 6, l, f, t.
l, f, t, 6
Let g = -27.13 - -0.13. Let z = 267.8 - 272.8. Put 2/9, 2/7, g, z in decreasing order.
2/7, 2/9, z, g
Let a = 10 + 62. Let j = a + -74. Suppose 27 = v + 8*v. Sort -1, j, 5, v.
j, -1, v, 5
Suppose -1 = 3*t + 4*f, 5*t + 5*f - 43 = -48. Sort -0.34, t, -2/17, 3 in descending order.
3, -2/17, -0.34, t
Suppose 0 = 5*g + 5*t + 35, -g - 2*t + 13 = -5*t. Let r = -0.0298 - 2.8852. Let d = r - 0.085. Put g, -4, d, 5/3 in increasing order.
-4, d, g, 5/3
Let f = 2755 + -2755. Sort f, -0.7, -49/2 in descending order.
f, -0.7, -49/2
Suppose 2*u = 3*w, -u = -4*u - 4*w - 17. Let c be ((-150)/(-105))/((-24)/14). Let y(o) = o**2 - 26. Let m be y(5). Sort u, c, -3/5, m.
u, m, c, -3/5
Let u = 5478 + -5478. Let p be (3/(-10))/(24/(-50)). Let h = p - -1/24. Sort h, 3, u in descending order.
3, h, u
Let q be (-2)/((-19 + 38)/(-38)). Put -6, q, -11 in decreasing order.
q, -6, -11
Let a = 106.7 + -107. Let b = 551.6 - 555.6. Let n = -0.44 - -0.04. Put n, b, 3, a in decreasing order.
3, a, n, b
Let m(b) = -2*b - 9. Let d be m(-7). Suppose 2*y - 21 = 3*x - 22, d*x = 2*y + 3. Sort -1, -15, x in increasing order.
-15, -1, x
Suppose -l - 17*u = -14*u + 18, u + 4 = -l. Let f be ((-4)/2)/(5/20). Let c = 3 + f. Put l, c, -1, -4 in ascending order.
c, -4, -1, l
Let v be (-14)/(-12)*(13/(-28) + (-314)/1256). Sort 8, v, -1/7, 4, -0.5 in descending order.
8, 4, -1/7, -0.5, v
Suppose 373349*d - 9 = 373340*d. Suppose 0 = -5*t + 29 - 4, 0 = -3*r + t - 14. Sort -4, d, r in ascending order.
-4, r, d
Suppose 5*p - 198 = -203, -4*p - 52 = 4*z. Let v = 0.12 + -0.52. Sort v, z, 2, -2 in decreasing order.
2, v, -2, z
Let h be 19/5 + (-15)/40 + 435/(-120). Let n = 5 + -2. Let p = 2.9 - n. Sort 0, p, h, 2/11 in descending order.
2/11, 0, p, h
Suppose 7*l - 190 = -50. Sort -1, l, 55 in increasing order.
-1, l, 55
Let g = 5 - 5.8. Let z = -1 - g. Suppose 6 = c + 1. Sort 0.3, c, z in increasing order.
z, 0.3, c
Suppose -g = -5*g - 3*i, -5*g = -5*i. Let v(m) = 153*m - 151*m + 85 - 110. Let f be v(g). Put 0, f, -1 in decreasing order.
0, -1, f
Let m = 0 - 2. Let t be ((13052/(-72))/(-13))/(2 + -58). Let y = t - -3/112. Sort -4/3, y, m.
m, -4/3, y
Let q be (-2)/(-6)*42/2. Let c(u) = 7 - 4*u**3 + 6*u**3 - 7*u**2 - 4*u**3 + 3*u**3 - u. Let h be c(q). Put -2, -4, h in descending order.
h, -2, -4
Let u = 175.37 + -176. Let z = u - -1.03. Sort -5, 0.55, z.
-5, z, 0.55
Suppose 3633*c - 140 = 3605*c. Let b = -0.17 - 7.83. Let j = 3 + b. Sort 4, j, c, -0.2 in decreasing order.
c, 4, -0.2, j
Let k be 0/(-2) - (-2)/(-7). Let g = -146.03 - -146. Let v = g - 0.17. Sort v, 0.4, k, -0.5.
-0.5, k, v, 0.4
Let w = 41.76 - 37.76. Let u be (-6)/(-5)*(-2)/66. Sort u, 5, w, -4.
-4, u, w, 5
Let f = -0.14 - 0.02. Let j = 0.34 - f. Let o = -366 + 367. Sort j, 2/17, o, 4.
2/17, j, o, 4
Suppose 2*k + 2*k = 2*n - 12, 5*n - 5*k - 30 = 0. Let b be -3*((-192)/(-18))/8. Put n, b, -3, 2 in ascending order.
b, -3, 2, n
Let c(j) = -j**3 - 50*j**2 + 223*j + 380. Let n be c(-54). Sort 203, n, -5, 10 in descending order.
203, 10, n, -5
Suppose 328 = 21*f - 449. Let g = f - 37. Sort g, 5, -2, -52 in decreasing order.
5, g, -2, -52
Suppose 34*i + 1151 = 981. Sort 516, -1, i, -3 in decreasing order.
516, -1, -3, i
Suppose -2 = 4*l - 6*l. Suppose 24*q - 3*d + 17 = 20*q, -3*q + d - 9 = 0. Put q, l, -5, 4 in decreasing order.
4, l, q, -5
Suppose 0 = 4*r + 16, -2*t - t + 4*r = -127. Let c = t + -34. Suppose -4*h - 13 = 3*a, 2*h - c*a = -a - 10. Sort 5, h, -11 in descending order.
5, h, -11
Let p = -19.5 + 32.8. Let h = 13.197 - p. Let u = h - -0.003. Put u, -3/4, 3, -1/5 in decreasing order.
3, u, -1/5, -3/4
Suppose -84 = -954*o + 933*o. Suppose -2*g + 3*s + 19 = 0, 3*g + 5*s + 15 = -2*g. Sort g, -1, o in increasing order.
-1, g, o
Let g be (0/6)/6 + 290. Let k be ((-4)/7)/(g/(-203)). Sort k, -30, -4, 2/21 in decreasing order.
k, 2/21, -4, -30
Let b be 1 + (-8)/(-1) + -4. Let g = 31 - 64. Let i = g + 29. Put 3/4, b, i in descending order.
b, 3/4, i
Suppose -3*u = 2*d + 32 - 10, -4*d - 3*u = 26. Sort 41, d, 1.
d, 1, 41
Let v(f) = -29*f**2 - 374*f + 41. Let s be v(-13). Put 3, -2, 696, s, 4 in ascending order.
-2, s, 3, 4, 696
Let n(c) = c**3 + 21*c**2 + 80*c - 3. Let w be n(-16). Sort 139, w, 5, -2 in decreasing order.
139, 5, -2, w
Let t be (-1 - 0) + (2 - -2). Suppose -6*o + 40 = 34. Let g be o/t - 984/36. Put 5, g, 1 in decreasing order.
5, 1, g
Let t(i) = 20*i - 695. Let x be t(35). Put 0, 2, -5, 15, x in descending order.
15, x, 2, 0, -5
Suppose 1649 = -203*q + 207*q - 3955. Sort -0.5, q, 2/5 in increasing order.
-0.5, 2/5, q
Let p = -4.992 - -4.992. Sort -2/3, p, 2/17, -0.1, 3.7.
-2/3, -0.1, p, 2/17, 3.7
Let u be (10/60)/(-1 + -1). Let p = 13/210 + 46/105. Sort 2, u, p in descending order.
2, p, u
Let i = -10378 - -72644/7. Let q = 2.18 - 0.18. Put i, -8, q in descending order.
q, i, -8
Let d = -33 + 98. Let h = -61 + d. Let l be (h + -3)/(-1) + -1 + 0. Sort -1, l, 0.2 in decreasing order.
0.2, -1, l
Suppose 12*c - 9*c = 12, 5*c - 15 = o. Suppose 27 + o = -8*y. Put 5, -23, y, 2 in ascending order.
-23, y, 2, 5
Let o(c) = 19*c + 134. Let q be o(-7). Let v(w) = -w**3 - 4*w**2 + 4*w - 1. Let r be v(q). Put -6, -7, r in descending order.
r, -6, -7
Let q be (-174)/(-22) + -8 - 108/22. Sort q, 23, 0 in ascending order.
q, 0, 23
Let m = 170 - 167. Let g = 50 + -55. Sort 5, g, m, 2.
g, 2, m, 5
Let k be 21/14*120/(-36). Sort -0.4, 249, k in descending order.
249, -0.4, k
Suppose -m + 20 = 10. Let s be (-1)/(4/m) - -5. Sort 3, 7, -3, s in ascending order.
-3, s, 3, 7
Let a(q) = -4*q - 43. Let o be a(-18). Suppose o*g = 21*g + 24. Let c be 2/6 + 4/6. Sort c, g, -8, -4 in decreasing order.
g, c, -4, -8
Let t = -1607.7 - -1608. Put t, -0.15, 0, -4 in descending order.
t, 0, -0.15, -4
Suppose 19*i - 65*i + 1242 = 0. Suppose 64 + 71 = i*k. Put 1, 3, k, -102 in decreasing order.
k, 3, 1, -102
Suppose 73*v - 71*v = 4718. Put -2, v, 4 in increasing order.
-2, 4, v
Suppose -5*p + 2*d = 0, -17*d + 19*d - 10 = 0. Sort 4, p, 23.
p, 4, 23
Let u = -562.17 - -9.17. Let w = u - -554. Sort -5, 2/15, w in ascending order.
-5, 2/15, w
Let m = -5.3 - -5.7. Let k = -1617 + 1616.33. Sort m, k, 1, 2.
k, m, 1, 2
Let f be (-11)/22 - ((-690)/288)/5. Let y = -8 + 23/3. Put y, 2/7, f in descending order.
2/7, f, y
Suppose 5*l - 26 = 2*r, -l - 3*r = -6*l + 24. Suppose 3*a = -0 + l. Suppose -2*p = 0, -4*p = -a*v - 3*v. Put v, -3, 3 in decreasing order.
3, v, -3
Suppose 2*o + 3*o + 2*s = 200, -2*s = -3*o + 120. Put -2, 1, o, -5 in decreasing order.
o, 1, -2, -5
Let q = -1710 + 6847/4. Put 2/17, 1, 2/5, q, -0.06 in decreasing order.
q, 1, 2/5, 2/17, -0.06
Let r = -1864 + 1868. Sort 23.4, 0.3, r in increasing order.
0.3, r, 23.4
Let k = 2.361 - -0.639. Let c = 24 - 24.5. Put k, 39, c in ascending order.
c, k, 39
Let q = -55/3 + 161/9. Let r = 8349 + -8351. Put -1, -1/3, q, r in descending order.
-1/3, q, -1, r
Let s = 3824/17289 - -2/1921. Sort 2, s, -3/5, 1 in ascending order.
-3/5, s, 1, 2
Let c = 0 - 2. Let s = -7
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{
"pile_set_name": "DM Mathematics"
}
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6*l(z) - 4*y(z). What is the remainder when b(-4) is divided by c?
11
Let c(x) = 9*x - 6. Let i be c(1). Suppose 2*u - 84 = -i*t - 2*u, -3*u = 0. Calculate the remainder when 83 is divided by t.
27
Suppose 4*u = -u + 5, -4*r = -u - 67. What is the remainder when 186 is divided by r?
16
Suppose 0 = 5*i - 250 - 35. Calculate the remainder when i is divided by 1 + (1 + 1 - -17).
17
Let o = -775 + 860. Calculate the remainder when 158 is divided by o.
73
Suppose 5*a - 15 + 0 = 0. Let b be (23 - 18)*1*3. Suppose -14*l = -b*l + 5. What is the remainder when l is divided by a?
2
Let q(r) = -2*r + 3. Let k(t) = -19*t - 690. Calculate the remainder when k(-39) is divided by q(-6).
6
Calculate the remainder when 94 is divided by (-180)/(-18) + 25 + -3.
30
Let c(y) = -y**2 - 84*y + 112. What is the remainder when c(-40) is divided by 14?
10
Let s be (-5 - -8)/((-6)/4)*-11. Let p = s - -5. What is the remainder when p is divided by 5?
2
Suppose -39*c - 69 = -576. Calculate the remainder when 775 is divided by c.
8
Let o(u) = -u**3 + 3*u**2 + 12*u. Let k be o(6). Let p = k + 68. Calculate the remainder when 122 is divided by p.
26
Suppose -24 = -3*x + 9. Let l be (28/2)/(((-12)/9)/2). Let s = l + 86. What is the remainder when s is divided by x?
10
Let p be (-4)/(-6) + 960/(-36). Let q = p + 32. Calculate the remainder when 21 is divided by q.
3
Suppose -11*f + 5*f = -222. Let l(g) = g**2 + 6*g + 3. What is the remainder when f is divided by l(-7)?
7
Let d(h) = h**3 - 3*h**2 + 4. Let i be d(3). Let f = i - -1. Let s(a) = a**2 - 15*a - 64. What is the remainder when s(19) is divided by f?
2
Suppose 2*z + 54 = -102. Let s = z + 104. Let h = 34 - 24. What is the remainder when s is divided by h?
6
Suppose -3*j + 182 = 4*j. Suppose -l - c + 21 = 0, 0*l - 2*c - j = -2*l. What is the remainder when 100 is divided by l?
15
Suppose 1265*q - 408 = 1259*q. Calculate the remainder when q is divided by 2.
0
Suppose -94 = -l - 12. Calculate the remainder when l is divided by 82.
0
Let i = -14 + 25. Suppose -5*c = i + 14. What is the remainder when -1*3 + (51 - c) is divided by 14?
11
What is the remainder when ((-42)/(-4))/(216/4464) is divided by 56?
49
Let z be (1 + 1)*17/34. Suppose k = 42 - z. What is the remainder when k is divided by 11?
8
Suppose 150 = 29*m - 23*m. What is the remainder when 272 is divided by m?
22
Let o(t) = 15*t - 72. Calculate the remainder when 31 is divided by o(6).
13
Let d = 116 + -106. Let m(s) = 99*s - 1. Calculate the remainder when m(1) is divided by d.
8
Let i = -261 - -125. Let c = -119 - i. What is the remainder when 134 is divided by c?
15
Let g(y) = 2*y + 20. Let x be g(-10). Suppose x = 4*v - 3*v + 3*j - 10, -5*v = j - 8. What is the remainder when v is divided by 1?
0
Suppose 5*h = 288 + 57. Calculate the remainder when h is divided by 3.
0
Let k = 172 + -162. Calculate the remainder when 836/14 - 2/(-7) is divided by (5/(k/128))/2.
28
Let t = 995 + -331. What is the remainder when t is divided by 74?
72
Let g(k) = 28*k - 25. Let w be g(4). Suppose 3*t - 85 = -x + 5*t, 0 = -x + 3*t + w. Calculate the remainder when x is divided by 22.
15
Let j(q) = -q**2 + 6*q - 3. Suppose 0 = -4*l + 7*l - 30. Suppose -l = -2*r - 4. What is the remainder when r is divided by j(5)?
1
Let y = -720 - -739. What is the remainder when 140 is divided by y?
7
Suppose 2*f + 2 - 4 = -4*y, f + y - 4 = 0. Suppose f*v = -v + 968. Calculate the remainder when v is divided by 41.
39
Let x be 0/2 - (-18 + 18). Let b(w) = -w**2 + w + 7. Calculate the remainder when 19 is divided by b(x).
5
Suppose 0 = 5*l - d - 0 - 150, 120 = 4*l + 2*d. Let y(r) = r**2 - r - 2. Let v be y(-3). Suppose 0 = 5*p - 90 + v. What is the remainder when l is divided by p?
14
Let q be 140/(-6) + 7/21. Let x = 35 + -33. Let b = x - q. Calculate the remainder when 98 is divided by b.
23
Let l = -29 - -53. What is the remainder when 233 is divided by l?
17
Suppose 590*x + 84 = 593*x. What is the remainder when 193 is divided by x?
25
Let c = -55 + 131. What is the remainder when 187 is divided by (-3)/(-1)*c/6?
35
Suppose -11*z + 28*z = 1020. What is the remainder when z is divided by 3?
0
Suppose -4*r + 5*r - 3*j - 29 = 0, -5*j - 15 = 0. Calculate the remainder when 377 is divided by r.
17
What is the remainder when (-24)/12 - (-572)/4 is divided by 9?
6
Let q(k) = k**3 - 36*k**2 + 15*k + 32. Calculate the remainder when q(36) is divided by 14.
12
Let j = -200 + 216. What is the remainder when j is divided by 11?
5
Suppose -6*s - 14*s + 700 = 0. What is the remainder when 81 is divided by s?
11
Let c be -75*(0 + 3)/3. Let l = c + 136. What is the remainder when l is divided by 16?
13
Suppose -456 = -6*f - 378. What is the remainder when (-1)/(-3) - 376/(-6) is divided by f?
11
Suppose 12*z - 5*z + 126 = 0. Calculate the remainder when 4/z + 195/27 is divided by 4.
3
Let s(u) = 63*u**2 - 2. Suppose -2*d - 8 = -4*l, 5*l = 2*d - 6*d - 3. What is the remainder when s(l) is divided by 16?
13
Let c(p) = p**2 + 16*p + 6. Let m be c(-15). Let d(n) = -n**2 - 10*n + 3. Calculate the remainder when (-2 - 30)/(-2) + 2 is divided by d(m).
6
Let l(r) = -5*r**2 - 2*r + 20. Let c(b) = b**2 + b - 1. What is the remainder when c(2) is divided by l(-2)?
1
Let n = 10 - 10. Suppose n = 2*d + 1 + 9, 3*z = -5*d + 41. What is the remainder when 26 is divided by z?
4
Let r be (-1)/(-1)*-1*5. Let n(m) = m**3 + 8*m**2 + 8*m + 6. Let a = 53 - 42. Calculate the remainder when n(r) is divided by a.
8
Suppose 1 + 4 = v. Suppose 0 = 4*w - 2*w + 8, -5*w - 105 = -v*i. What is the remainder when i is divided by 6?
5
Suppose 4*q - 331 - 409 = -u, -q = 5*u - 185. What is the remainder when q is divided by 1/(-4) + 250/8?
30
Let t be (4/2)/(4/14). Let o be 3/1*(-8)/(-6). Suppose -9 = -o*l + t. What is the remainder when l is divided by 3?
1
Suppose 5*h = 5*i - 12 - 343, i - 3*h = 65. What is the remainder when 129 is divided by i?
55
What is the remainder when 204 is divided by (2/(-4))/(1*9/(-936))?
48
Let f(g) = g**2 + 26*g + 111. Let d = 12 + -8. Calculate the remainder when f(-21) is divided by d.
2
What is the remainder when 604 is divided by ((-19)/2)/(100/(-32) - -3)?
72
Suppose 26*d - 10063 - 4003 = 0. What is the remainder when d is divided by 17?
14
Let r(d) = 151*d**2 - 13*d + 13. Calculate the remainder when 613 is divided by r(1).
9
Suppose 4*f + f - 180 = 0. Let d(g) = -g**2 + 14*g + 13. Let k be d(11). Suppose -2*j - 8 = -k. Calculate the remainder when f is divided by j.
17
Suppose -o = -2*t - 254 + 77, 5*o + 2*t - 873 = 0. Calculate the remainder when o is divided by 44.
43
Suppose -15 = -z - 0. Let f(u) = u**3 + 17*u**2 + 22*u + 27. Let c be f(-16). Let s = c - -128. What is the remainder when s is divided by z?
14
Suppose 3*m + 4 = 19. Let a(v) = -v**3 + 9*v**2 + 10*v + 5. Let p be a(10). Suppose -30 = -m*h - p. Calculate the remainder when h is divided by 1.
0
Let s(u) = -26*u - 226. Let r be 0*(-2)/8*2. Suppose -5*z = -r*z - 70. What is the remainder when z is divided by s(-9)?
6
Let b(a) = a**3 + 5*a**2 + 4*a. Let y be b(-4). Let i = 43 + y. Calculate the remainder when 127 is divided by i.
41
Suppose -5*w = -f - 1368, -w + 4*f + f + 288 = 0. What is the remainder when w is divided by 15?
3
Let z be (-2)/3 - (-632)/3. Suppose -z = -5*n + 250. Calculate the remainder when n is divided by 31.
30
Suppose -21 - 17 = u + 4*y, 2*y = 3*u + 156. Let i = -25 - u. What is the remainder when i is divided by 13?
12
Suppose -506 = 4*l + 5*w, 4*l - 635 = 9*l + 5*w. Let o = l + 136. Calculate the remainder when 26 is divided by o.
5
Let v(i) = i**2 - 3*i - 1. Let m(c) = 3*c - 9. Let z be m(5). Let j = z - 12. Calculate the remainder when v(j) is divided by 14.
11
Let u = -120 + 287. Let z be (-6)/10 + u/(-5). Calculate the remainder when 32 is divided by z/(1 + (-1 - 2)).
15
Let u = 26 - 8. Calculate the remainder when 66 is divided by u.
12
Suppose y + 1 = 3. Suppose -y*t = -f - 136, 3*t + 4*f - 204 = -f. Let b(g) = 4*g - 9. Calculate the remainder when t is divided by b(8).
22
Suppose -3*l = n - 4*l + 25, -3*l = 15. Let z = 72 + n. Calculate the remainder when z is divided by 26.
16
Suppose -2*l = -c - 438, -5*l + 7*c - 6*c + 1089 = 0. What is the remainder when l is divided by 10?
7
Suppose 18 = k + 6. Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
5*r**4 - 35*r**3 + 28*r**2 + 20*r - 12. Let p(h) = 10*h**4 - 71*h**3 + 53*h**2 + 38*h - 20. Let d(q) = 5*a(q) - 3*p(q). Suppose d(t) = 0. What is t?
-2/5, 0, 1, 7
Suppose 4*x = -3*t, -2*t = -18*x + 15*x + 17. Factor -8*y**3 - 3*y + x*y - 3 + 3*y**2 + 7*y**3 + y.
-(y - 3)*(y - 1)*(y + 1)
Suppose 0*s = -3*s - 234. Let j be -8*(14/(-12) - 13/s). Factor 4*f**5 - f - 5*f + 4*f**4 + 6*f - j*f**3.
4*f**3*(f - 1)*(f + 2)
Let o(a) be the third derivative of 7/60*a**5 + 0*a**3 + 20*a**2 + 1/120*a**6 + 0*a**4 + 0*a - 3. Factor o(d).
d**2*(d + 7)
Let l(d) = 15*d**2 + 79*d - 94. Let k(x) be the second derivative of 5*x**4/12 + 13*x**3/3 - 31*x**2/2 + 62*x. Let m(i) = -11*k(i) + 4*l(i). Factor m(n).
5*(n - 1)*(n + 7)
Let h(v) be the second derivative of 1/96*v**4 + 0 + 118*v + 1/48*v**3 - 1/8*v**2. Find s such that h(s) = 0.
-2, 1
Let s(q) be the first derivative of -q**4/3 - 8*q**3 + 26*q**2 + 61*q + 49. Let o(h) be the first derivative of s(h). Determine u, given that o(u) = 0.
-13, 1
Factor 5/2*r**2 - 1/4*r**3 + 69/4*r + 45/2.
-(r - 15)*(r + 2)*(r + 3)/4
Suppose 0 = -14*x + 1 + 27. Factor 148321690 - 1360*i**3 + 95080*i**2 + 1307*i**4 - 9826000*i + 35300*i**x + 60480810 - 1303*i**4 + 43020*i**2.
4*(i - 85)**4
Let w(p) be the first derivative of -17*p + 0*p**2 - 2/3*p**4 + 10 + 0*p**3 - 1/5*p**5. Let j(c) be the first derivative of w(c). Let j(s) = 0. Calculate s.
-2, 0
Let b = 32 - 25. Suppose 4*l = 0, b*x - l - 20 = 2*x. Factor 5*w**2 - 2*w**3 - w**2 + 4*w**x - 6*w**3.
4*w**2*(w - 1)**2
Let m(l) be the first derivative of -3*l**2 - 4/7*l - 72 - 14/3*l**3. Factor m(u).
-2*(7*u + 1)*(7*u + 2)/7
Let h(s) be the third derivative of 0 + 0*s - 1/6*s**4 - 38*s**2 + 1/105*s**7 + 0*s**3 + 1/30*s**6 - 1/30*s**5. Factor h(a).
2*a*(a - 1)*(a + 1)*(a + 2)
Let x(f) be the second derivative of f**4/16 + 13*f**3/8 + 595*f - 1. Factor x(v).
3*v*(v + 13)/4
Let g(j) = -371*j**5 - 2273*j**4 - 5633*j**3 - 6847*j**2 - 4108*j - 972. Let u(x) = -2*x**5 + x**4 - 2*x**3 - x**2 - x. Let l(s) = -g(s) + 4*u(s). Factor l(f).
3*(f + 1)**3*(11*f + 18)**2
Let u(k) = -k**2 + 8*k - 1. Let x(z) = 3*z**2 + 9*z + 5. Let y(o) = -o**2 - 5*o - 2. Let d(n) = -2*x(n) - 5*y(n). Let t(a) = 5*d(a) - 4*u(a). Factor t(g).
-(g - 4)*(g + 1)
Let k(z) be the first derivative of -z**4/14 + 46*z**3/21 + 24*z**2/7 - 242. Factor k(d).
-2*d*(d - 24)*(d + 1)/7
Suppose t + 0*c = -5*c - 17, -4 = c. Let b(w) be the second derivative of 0*w**t + 0*w**2 - 1/4*w**5 - 21*w + 0 - 5/12*w**4. Factor b(y).
-5*y**2*(y + 1)
Let u(l) be the second derivative of 8*l**2 - 19*l**3 - 76*l + l**4 + 2*l**3 + 9*l**3 + l**5. Find w such that u(w) = 0.
-2, 2/5, 1
Let r(t) = -6*t**2 - 18*t - 42. Let g be r(-4). Let x be 60/15 - g/(-21). Find h, given that x - 8/7*h + 2/7*h**2 = 0.
1, 3
Let z(y) = y**2 + y. Suppose 64 = -54*n + 19 - 63. Let h(c) = 13*c**2 - 17*c + 98. Suppose 2*v - 27 = 17. Let k(j) = n*h(j) + v*z(j). Factor k(u).
-4*(u - 7)**2
Let b(r) be the second derivative of -40/21*r**3 + 7*r + 31/42*r**4 - 2/35*r**5 - 12/7*r**2 + 3. Factor b(f).
-2*(f - 6)*(f - 2)*(4*f + 1)/7
Let m = -6741743/200 + 134841/4. Let w = m - 7/200. Factor 3/2*z**3 - w*z**2 - 21/8*z - 3/4.
3*(z - 2)*(2*z + 1)**2/8
Let -116*y - 5*y**3 + 10*y**3 + 35214 - 24*y**2 - 35310 = 0. Calculate y.
-2, -6/5, 8
Let f = -12/385 - -789/3080. Let s(j) be the third derivative of -14*j**2 + 0 - 1/16*j**6 + 0*j + 1/2*j**3 + 1/140*j**7 + f*j**5 - 7/16*j**4. Factor s(t).
3*(t - 2)*(t - 1)**3/2
Suppose -5*o - 28 = -4*v, -5*o - 5 = 2*v + 11. Factor 56 - j**2 - 5*j**2 + 22*j + v*j**2 + 0*j**2 + 6*j**2.
2*(j + 4)*(j + 7)
Suppose -2*q - 77 = 11*k, -3*q = -15403*k + 15407*k + 28. Let q*d**2 + 2/3*d**3 + 1/3 - 2/3*d - 1/3*d**4 = 0. Calculate d.
-1, 1
Let d(u) be the third derivative of -u**7/1470 + u**6/168 + u**5/35 - 19*u**4/42 + 40*u**3/21 - 872*u**2. Factor d(c).
-(c - 5)*(c - 2)**2*(c + 4)/7
Let o(r) = 35*r**3 - 1426*r**2 - 367*r - 79. Let k be o(41). Solve 8*l + 8/9 + 14/3*l**k - 122/9*l**2 = 0.
-2/21, 1, 2
Determine g so that 759 + 243/4*g - 3/4*g**2 = 0.
-11, 92
Suppose -7*d = -40*d + 1023. Suppose -18*q**2 + 70*q - d*q**2 - 120 + 44*q**2 = 0. What is q?
2, 12
Suppose -424*q + 1322*q + 5*q**2 + 1422*q = 0. Calculate q.
-464, 0
Let o(s) = s**2 - 20*s + 100. Let t be o(8). Solve 0*u**5 + 43 + 262*u**2 + 68*u**t - u**5 - 21*u**4 - 173*u - 178*u**3 = 0.
1, 43
Suppose -u - j - 7 = -3*u, -u = j + 1. Suppose f + u*m = -2, 3*f - 4*m + 6 = 20. Factor 10*w**3 + 4*w**f + 0 + 2/5*w.
2*w*(5*w + 1)**2/5
Let v = -74 - -680. Let l = -603 + v. Solve -3/4 - 9/8*k**5 - 3/2*k**l - 9/4*k**2 + 21/8*k + 3*k**4 = 0 for k.
-1, 2/3, 1
Let l = -169 + 227. Let -62*u - 23*u**2 - l*u + 62*u**2 + 50*u + 27*u**2 + 4 = 0. What is u?
2/33, 1
Let p be 24 + ((-24)/2 - 12). Determine n, given that 4/11*n**2 + 0 + p*n - 6/11*n**3 + 2/11*n**4 = 0.
0, 1, 2
Let o = -2939779549263/19475 - -150951453. Let d = -2/1025 - o. Factor 30/19*w**2 - 2*w**3 - d*w - 4/19 + 14/19*w**4.
2*(w - 1)**3*(7*w + 2)/19
Let x be 154 + (-9 - -8 - (1 - 4)). Let a be (-5)/((-35)/(-3)) - x/(-21). Solve 20*m**3 - 19*m**3 + 7*m**2 - a*m - 7*m**2 - 6 = 0.
-2, -1, 3
Suppose 0 = 6*v - 5*v - 164. Let d be 10/(-45) + v/9. Factor -d*x**2 - 8*x - 23*x**2 + 29*x**2 - 4*x**3.
-4*x*(x + 1)*(x + 2)
Factor -24/11*c**2 - 254/11*c + 2/11*c**3 - 228/11.
2*(c - 19)*(c + 1)*(c + 6)/11
Let l(j) = -11*j**4 + j**3 + 18*j**2 - 11*j - 17. Let t(q) = 27*q**2 - 321 - 16*q**4 + 296 + 2*q**3 - 5*q - 11*q. Let y(g) = 7*l(g) - 5*t(g). Factor y(z).
3*(z - 2)*(z - 1)*(z + 1)**2
Let n = -55 + 60. Suppose -n*f + k = -10, 3*f - 73*k - 6 = -70*k. Factor 4/3*j**4 - 4*j**3 + 0*j**f + 0 + 16/3*j.
4*j*(j - 2)**2*(j + 1)/3
Let m(s) be the first derivative of -150*s**2 - 51 + 88*s - 28/3*s**3. Find w, given that m(w) = 0.
-11, 2/7
Suppose 8*c - 13*c**3 + 12*c**4 - 19 + 5*c**3 + 51 + 220 - 256*c**2 - 8*c**4 = 0. What is c?
-7, -1, 1, 9
Let g(u) be the first derivative of -11 + 0*u - 2/15*u**3 + 1/300*u**5 - 3/2*u**2 + 0*u**4. Let d(y) be the second derivative of g(y). What is k in d(k) = 0?
-2, 2
Let t(a) = 4551*a - 27302. Let m be t(6). Factor -16/3 - m*h - 2/3*h**2.
-2*(h + 2)*(h + 4)/3
Let i = -463607/4 - -2318043/20. Factor -i*y**2 + 104/5 + 48/5*y.
-2*(y - 26)*(y + 2)/5
Let y(q) be the first derivative of 424*q**3 - 1152*q - 5/2*q**6 + 1200*q**2 - 63/2*q**4 + 269 - 129/5*q**5. What is m in y(m) = 0?
-4, 2/5, 3
Let c(b) = 2*b**2 + 64*b - 24. Let j be c(-32). Let k be (-3*j/(-54))/(-3). Suppose -4/3*z + 28/9*z**2 + 0 + k*z**4 - 20/9*z**3 = 0. Calculate z.
0, 1, 3
Let z be (-11)/1 - (11153/(-285) + 28). Suppose 4418/15*v**2 + z - 188/15*v = 0. Calculate v.
1/47
Suppose 149*s = -244*s - 133*s. Solve -16/7*z - 2/7*z**2 + s = 0 for z.
-8, 0
Let q = 292577 - 585153/2. Find v such that -10 - q*v**3 - 29/2*v - 5*v**2 = 0.
-5, -4, -1
Find m such that 486 + 50/3*m**2 + 180*m = 0.
-27/5
Let c(w) be the first derivative of -w**4/2 - 560*w**3/3 + w**2 + 560*w - 4627. Factor c(t).
-2*(t - 1)*(t + 1)*(t + 280)
Let t(i) = -10*i**3 - 283*i**2 + 18731*i - 71835. Let x(h) = 11*h**3 + 284*h**2 - 18704*h + 71836. Let v(u) = -12*t(u) - 11*x(u). Factor v(o).
-(o - 134)**2*(o - 4)
Let o(z) be the second derivative of 3/40*z**5 - 13/4*z**3 + 204*z + 0 - 1/4*z**4 - 15/2*z**2. Factor o(u).
3*(u - 5)*(u + 1)*(u + 2)/2
Let f be 48 + 1420/(-30) - -3*(-8)/117. Determine z, given that f*z**5 + 10/13*z**4 + 0*z**2 + 0*z + 0 - 4/13*z**3 = 0.
-2, 0, 1/3
Let s(m) be the second derivative of m**5/15 + 13*m**4/9 - 176*m**3/3 + 600*m**2 - 91*m - 4. Factor s(h).
4*(h - 6)**2*(h + 25)/3
Factor -1/5*f**2 - 1445 - 34*f.
-(f + 85)**2/5
Suppose -3*r - 211 = 290. Let d = 169 + r. Solve 45*t**d + 1/2*t**4 + 8*t**3 + 125/2 + 100*t = 0 for t.
-5, -1
Let k(p) = -60*p**3 - 540*p**2 + 6430*p - 5900. Let t(z) = 5*z**3 + 45*z**2 - 536*z + 492. Let y(s) = -3*k(s) - 35*t(s). Factor y(a).
5*(a - 6)*(a - 1)*(a + 16)
Let s(q) be the first derivative of -q**4/7 - 6204*q**3/7 - 14433606*q**2/7 - 14924348604*q/7 + 2863. Determine v so that s(v) = 0.
-1551
Let a(r) = -44*r**2 - 744*r + 1640. Let c(o) be the second derivative of 3*o**4/2 + 99*o**3/2 - 328*o**2 - 2*o - 34. Let d(t) = -5*a(t) - 12*c(t). Factor d(s).
4*(s - 2)*(s + 41)
Let -96*u**3 - 65/2*u + 97*u**2 + 1/2*u**5 + 31*u**4 + 0 = 0. What is u?
-65, 0, 1
Let y(d) be the s
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the hundreds digit of u?
6
Suppose 26*p = 3*g + 30*p - 8618, 2*g - 4*p - 5732 = 0. What is the hundreds digit of g?
8
Let u(g) = 3*g - 23. Let s be 9/(-12)*-3*4. Let v(i) = -i**2 + 9*i + 12. Let p be v(s). What is the units digit of u(p)?
3
Let l be (930/25)/((-2)/(-10)). Suppose -3*p + 291 = -l. What is the hundreds digit of p?
1
Let z = -187 - -990. What is the tens digit of z?
0
Let k = 525 + 1079. What is the thousands digit of k?
1
Let h(o) = o**2 - o + 5. Suppose -2*x - 26 = -k - 5, -k + x + 16 = 0. Let d = k - 6. What is the units digit of h(d)?
5
Suppose 0 = 18*i - 74*i + 177688. What is the units digit of i?
3
Let f(s) = -s**3 + 6*s**2 + 2*s - 9. Let j be f(6). Suppose -3*d + j*y - 7*y = -35, -5*d + 89 = -y. Suppose 1 = -4*i + d. What is the units digit of i?
4
Let j(y) = y**3 - 2*y**2 - 6*y - 11. Let v(u) = -3*u - 21. Let m be v(-9). What is the tens digit of j(m)?
9
Suppose t = -3*m + 5*t + 1027, -5*m + 1702 = 3*t. What is the hundreds digit of m?
3
Suppose 5*c - n = -20, 2*c + 2 = -3*n - 6. What is the hundreds digit of c + (2 + -3)*-157?
1
Let m be (-42)/(-18) - (-1)/(-3). Suppose 4*s = m*w - 8, 4*w - 3*s - 19 = 2*s. Let d(r) = 9*r - 3. What is the tens digit of d(w)?
5
Suppose -1 + 3 = -3*m - 2*l, 2*l + 16 = 4*m. Suppose m*f = 7 + 9. Suppose f*k - 11*k = -18. What is the units digit of k?
6
Suppose 351 = t - 10*t. Let o = 30 - t. What is the tens digit of o?
6
Suppose 798 = 2*z + 4*z. Let i = z + -52. What is the tens digit of i?
8
Suppose 9*x = 13*x + p - 1275, -p = -5*x + 1596. What is the hundreds digit of x?
3
Let o = -98 - -1099. What is the units digit of o?
1
Let y = 61 + -19. Suppose 0 = -2*w - 2*p - 20, -3*p - y = 4*w + w. What is the units digit of ((-60)/(-8))/(w/(-8))?
0
Suppose -406*w + 385*w = -51387. What is the tens digit of w?
4
Let l = 222 - 148. Suppose 4*a + l = 6*a. What is the units digit of a?
7
Suppose 2*i = x + 5*i + 3, 3*i + 3 = -3*x. What is the tens digit of ((-11 - x) + -4)*4/(-5)?
1
Suppose 0 - 16 = -4*a. Suppose 3*y + 148 = a*o - 54, -47 = -o - y. Let r = o - -9. What is the tens digit of r?
5
Let x = 2217 - 1574. What is the tens digit of x?
4
Let p(t) = -848*t - 5. What is the units digit of p(-1)?
3
Let s(r) = 6 + 34*r**2 - 5 + 0. What is the hundreds digit of s(-2)?
1
Suppose -2*z + 2 = 2*c, 4*c - 5*z = -0*z - 41. What is the tens digit of 0/(c/(-4)) - -136?
3
Let u(v) = 5*v**2 + 8*v - 6 - 3*v - v**3 - 7*v. Let y be u(4). Suppose 120 = k + y*k. What is the tens digit of k?
4
Suppose 0 = 4*p - 6*p - 18. Let h be (-1204)/p - (-6)/27. Suppose -3*g - 2*g + 128 = 3*n, -3*n - 2*g + h = 0. What is the units digit of n?
6
Let k(f) be the first derivative of 41*f**3/3 - 6*f**2 + 6*f + 15. What is the tens digit of k(3)?
3
Suppose 5*o - 3*o = -2*d, 4*o = -5*d + 4. What is the units digit of 5/((o + -1)/(-5))?
5
Let q(z) = 3*z**2 - 30*z + 28. What is the tens digit of q(17)?
8
Let h(w) = -w**2 + 2*w + 21. Let c be h(0). Let m = 9 - c. Let k = 54 + m. What is the units digit of k?
2
Let l(q) = q**3 + 6*q**2 + 4*q - 4. Suppose 5*z + 4 = -v + 5*v, 0 = 5*z + 4*v + 36. Let b be l(z). Let t = 19 + b. What is the units digit of t?
1
Let h be (-3)/(-7) + 15/(-35). Suppose h = 2*z + 22 - 58. Let c = -8 + z. What is the tens digit of c?
1
What is the units digit of ((-6520)/15)/(((-80)/15)/8)?
2
Let l(m) be the third derivative of 0*m + 0 + 1/2*m**3 + 6*m**2 + 1/24*m**6 - 1/30*m**5 - 1/12*m**4. What is the units digit of l(2)?
1
What is the thousands digit of (7 + (-315)/18)*776/(-6)?
1
Let f be (4/(-14))/((-1)/14). Suppose f = -0*z + z. What is the units digit of z?
4
Let a = 32 + -48. Let o be a/6*(-33)/22. Suppose 0*y + 5*y - 64 = -4*j, -4*j = -o*y - 64. What is the units digit of j?
6
Suppose 2*z - 28 = -i, i - 2*i - 24 = -2*z. Suppose -53 - z = -q. What is the tens digit of q?
6
Suppose 0 = -m + 3*m + 4*q - 248, 0 = -4*m - q + 531. Suppose -m = -3*w - p - 3*p, -184 = -4*w - 4*p. What is the units digit of w?
0
Let r(u) = -135*u**3 + 11*u**2 - 11*u + 5. Let m(o) = -90*o**3 + 7*o**2 - 7*o + 3. Let l(z) = 8*m(z) - 5*r(z). What is the tens digit of l(-1)?
4
What is the tens digit of (-117947)/(-79)*2/3*3?
8
Let x = -10 + 22. Let d = x - 9. Suppose -32 = -d*w + 58. What is the tens digit of w?
3
Let u = 7 + -16. Let j(c) = -7*c + 20. What is the tens digit of j(u)?
8
Suppose -2*u - 4*n + 2083 = u, 2*u + 3*n - 1388 = 0. What is the tens digit of u?
9
Suppose 13*v - 153 = 10*v. Suppose -v - 92 = -f. What is the units digit of f?
3
Suppose -6*c + 24 + 0 = 0. Suppose c*l = -4*a + 4, -a + 2*a = 4*l - 4. What is the units digit of -64*3/(-6)*l?
2
Let i(x) = x**2 - 6*x - 13. Let o(v) = 3*v**2 - 11*v - 27. Let j(u) = 5*i(u) - 2*o(u). Let f be j(-6). What is the units digit of (-4 - -3) + f*30?
9
Suppose -6*v = j - 9*v - 604, -4*v + 1258 = 2*j. What is the hundreds digit of j?
6
Let d(j) = -j**3 + 8*j**2 - 5*j + 34. Let k be d(8). Let h(s) = -s - 4. Let i be h(5). What is the tens digit of (26/3)/(k/i)?
1
Suppose 0 = -6*a + 51 + 303. What is the tens digit of a?
5
Let p(k) = -56*k + 57. What is the units digit of p(-5)?
7
Let y(f) be the third derivative of -f**6/120 + 25*f**3/2 + 2*f**2. Suppose -2*u + 3*u + 3 = 3*d, 2*u - 2 = -2*d. What is the units digit of y(u)?
5
Suppose -2*w + 421 - 1336 = -5*u, -w - 910 = -5*u. Let n(f) = -f + 4. Let a be n(0). Suppose -a*d + u - 57 = 0. What is the units digit of d?
1
Suppose 92442 = 5*g + 16*g. What is the thousands digit of g?
4
Let x(a) = 8*a**2 - 2*a - 1 - a - 4*a. What is the tens digit of x(-3)?
9
Suppose 4586 = -u + 5*u - 2*r, -r - 3 = 0. What is the tens digit of u?
4
Suppose 7*x - 15 = 4*x. Suppose d + x*c = 22 + 214, 2*d = 4*c + 402. What is the tens digit of d?
1
Suppose 3066 = -5*f + 7301. What is the units digit of f?
7
Let w(b) be the second derivative of -8*b**3/3 + 16*b**2 + 6*b + 2. What is the units digit of w(-15)?
2
Let l = 6807 - 3661. What is the hundreds digit of l?
1
Let w = -1857 - -3331. What is the hundreds digit of w?
4
Suppose -4*b - 1842 + 5737 = 3*p, 5*p = 25. What is the units digit of b?
0
Let c(u) = u**3 + 15*u**2 - 17*u - 43. What is the tens digit of c(-14)?
9
Let u(a) = a**3 + 8*a**2 + 6*a - 3. Let m be u(-7). Suppose -5*t - 193 = -m*k, 0*k = -2*k - 5*t + 59. Suppose 0 = -4*h + 2*h + k. What is the tens digit of h?
2
Let k(i) = -38*i**2 - 8*i + 2. Let g(b) = b. Let m(l) = -10*g(l) - k(l). Let x be -1 + 0/1 - 0. What is the units digit of m(x)?
8
Let n = -17 - -79. Let r be n/8 - 6/(-24). Suppose -5*z = -r*z + 156. What is the units digit of z?
2
Suppose 2*r - 2*l = 26, r + 18*l = 21*l + 11. Let m(d) = 14*d**2 + 6*d. Let g be m(-4). Suppose -r*a + g = -9*a. What is the tens digit of a?
4
Suppose 24 = 4*i - 16. Suppose 0 = n + 4*w + i, -n + 2*n = -5*w - 13. Suppose n*f - 1 = s - 13, -5*s = f - 115. What is the tens digit of s?
2
Let i be 1*((-3)/(-2))/(2/(-60)). Suppose 3*m + m + 76 = 0. Let c = m - i. What is the units digit of c?
6
Let u(o) = o**3 + 22*o**2 - 17*o + 11. Let t be u(-19). Suppose 9*w - t = -4*w. What is the units digit of w?
9
Suppose o + 2*o = 2*l + 179, 4*o - 4*l = 244. Suppose 5*w - o - 48 = 0. What is the units digit of w?
1
Let r = -97 - -96. What is the units digit of (-6)/r*39/18?
3
Suppose -j = -5*f + 11, 4*j + f = 3*f + 10. Suppose -j*v + b + 58 = 0, v + 6*b - 23 = 2*b. Let k = -8 + v. What is the units digit of k?
7
Let z = 350 - -17. What is the hundreds digit of z?
3
Let r be (2 - -1177) + (11 - 7). What is the tens digit of r/(-26)*12/(-7)?
7
Let i(l) = -13*l - 5. Let y be (3 - 7 - -1)*-1. Let z = y + -7. What is the units digit of i(z)?
7
Let f(b) = b**3 + 3*b**2 - 8*b - 19. Let q be f(-3). Suppose -i - 3*i + 198 = 2*h, q*h - 3*i = 482. What is the units digit of h?
7
Let c(o) = -o**2 - 11 + 17 - 12 + 23*o. What is the units digit of c(19)?
0
Suppose -32 = 4*c + 5*r, -22 = 5*c - 3*r + 55. Let y = c - -17. What is the tens digit of 492/27 - y/18?
1
Suppose -10*l + 5*l + 20 = 0. What is the units digit of (-88)/(-3) + l + (-1)/3?
3
Let v(m) = 13*m - 14. Suppose -5*t + 14 = 4. What is the tens digit of v(t)?
1
Let h be 0 - (-1)/(3/(-18)). Let w be 3 - -2*(-3)/h. What is the units digit of (-123)/(-12) - 1/w?
0
Let z(r) be the first derivative of -r**5/60 + 17*r**4/24 - 13*r**3/6 + 3*r**2 + 8. Let t(w) be the sec
|
{
"pile_set_name": "DM Mathematics"
}
|
(-690)/(-4)*q/(-9). Calculate the greatest common divisor of p and w.
23
Suppose -522 = -54*q + 25*q. What is the highest common divisor of q and 24?
6
Let f = 208 + 692. What is the greatest common factor of f and 36?
36
Suppose u + 0*u + 3*j - 11 = 0, -j = -u + 27. Suppose 3*d - 151 = u. Suppose -5*v + d = -o, 3*v + 5*o = 23 - 5. What is the highest common factor of 99 and v?
11
Suppose 20*w = 35*w - 150. Let f = -45 - -135. Calculate the greatest common divisor of f and w.
10
Let r be 1878/42 - (-4)/14. Let c be (-9)/(r/(-20)) - 1. Suppose 2*z - c*z = -2. Calculate the highest common divisor of z and 6.
2
Let t(c) = -c**3 + 12*c**2 - 25*c - 16. Let g be t(9). Suppose 3*v = 4*v. Suppose -28 = -2*s - v*s. What is the highest common factor of g and s?
2
Let y be ((-1)/(-3))/(2/6). Suppose 45 + 893 = 134*t. Calculate the greatest common factor of t and y.
1
Let d(z) = -z**2 - z + 28. Let y be d(0). Suppose o + 4*o + 5*p - 5 = 0, 0 = -4*o + p + 19. What is the highest common divisor of o and y?
4
Suppose -394 = 4*y - 410. What is the greatest common factor of y and 404?
4
Let l(a) = -a**2 - a. Let s be l(0). Let v(t) = -t + 12. Let n be v(s). Calculate the highest common factor of 6 and n.
6
Suppose 3*t - 3*z - 20 = -5, 5*t - 35 = -5*z. Calculate the greatest common factor of 106 and t.
2
Let b(x) = -x + 2. Let a be b(-4). Suppose -5*u + 5*r + 125 = 0, 2*u = -2*u + 3*r + 99. Let t be 4 + u + 0 + -4. Calculate the highest common factor of a and t.
6
Let x(s) = s + 17. Let v be x(-9). What is the highest common divisor of 200 and v?
8
Let t(a) = 8*a - 13. Let h be t(2). Suppose -h*g = -62 - 49. Calculate the highest common factor of 296 and g.
37
Let v be (516/10)/(16/40). What is the highest common divisor of v and 86?
43
Suppose 3896 + 5230 = 13*h. Calculate the greatest common factor of 26 and h.
26
Suppose 0*m - 4*m = -20. Suppose -5*d = 0, -3*a + m*d + 14 = 2. Calculate the greatest common factor of 6 and a.
2
Suppose -21*q = -32*q + 1089. Calculate the highest common divisor of q and 11.
11
Let s(p) = -18*p**3 - p**2 + p + 1. Let c be s(-1). Let a = -304 - 67. Let m = -218 - a. What is the highest common factor of c and m?
17
Let z be ((-99)/(-44))/(3/8). Let j(t) = -t**3 + 6*t**2 + 3*t - 13. Let u be j(z). Suppose -u*l = -3*l - 252. Calculate the greatest common factor of l and 18.
18
Suppose -2*k - 3*v = -425, -5*k - 4*v + 1045 = -0*v. Calculate the greatest common divisor of 5 and k.
5
Let h(i) = 3*i**2 - 10*i - 29. Let f be h(-7). Let v = f - 8. Calculate the highest common factor of v and 18.
18
Suppose 5*c + w - 19 = c, -5*c = 3*w - 29. Suppose 0*k = c*k - 364. Calculate the greatest common divisor of 13 and k.
13
Let h = 896 - 679. Calculate the highest common divisor of h and 279.
31
Suppose 199 + 473 = 7*t. Let z = -1 + 13. Calculate the highest common factor of z and t.
12
Suppose -189 = -213*w + 192*w. Let i = -32 + 50. Calculate the highest common factor of i and w.
9
Let x be (21/1)/((-39)/(-182)). Suppose -4 = -j - 4*t + 15, 5*j = -3*t + 61. Suppose 3 = y - j. What is the greatest common factor of x and y?
14
Let g be (-3)/6 - (-3791)/34. Calculate the highest common divisor of 3 and g.
3
Let r(a) = -a**3 + 0*a - 4 + 10*a**2 + 4 - 4*a. Let j be r(9). Suppose -12*g + 23*g = 55. Calculate the highest common divisor of j and g.
5
Let n(f) = -2*f**2 - 34*f + 5. Let c be n(-17). Suppose 0*q + z = 4*q - 34, c*z + 17 = 3*q. Calculate the highest common factor of q and 54.
9
Let s be (-66)/(-7)*(-182)/(-26). Calculate the highest common factor of s and 946.
22
Let n(f) = -f**3 + 13*f**2 + 2*f - 28. Let w be n(12). Calculate the highest common divisor of 105 and w.
35
Let u be (-2)/((-60)/16 - -4). Let x be 3 - (8 + -1) - u. Suppose 2*b = -4*c + 32, -3*c - 10 + 39 = x*b. Calculate the greatest common factor of 49 and c.
7
Let t(i) = -i**3 - 17*i**2 + 38*i + 29. Let s be t(-19). What is the highest common factor of 464 and s?
29
Let z = 9 - 6. Suppose 0 = -4*q + 4*c - 192, 3*q + z*c + 104 = -16. Let p be 6/10 + q/(-10). Calculate the highest common factor of 55 and p.
5
Suppose -5*l + 4 = 14. Let z be (-1)/(l/12*3). Let v be (0 - z)*5*-4. What is the highest common factor of 8 and v?
8
Let i(r) = 2*r**2 - r + 3. Let u be i(-9). Let t = -9 + u. Calculate the greatest common divisor of 33 and t.
33
Let j(p) = -p**3 - p - 2. Let k be j(-2). Let z = 246 + -110. Calculate the greatest common divisor of k and z.
8
Suppose -3*j = -13 - 2. Suppose -11 = -2*t + j. Calculate the greatest common factor of t and 20.
4
Let z = -47 + 57. What is the greatest common factor of z and 20?
10
Suppose -10*c - 80*c + 40500 = 0. What is the greatest common factor of c and 72?
18
Let y(w) = -w**3 + 17*w**2 - 15*w - 78. Let i be y(14). Calculate the highest common divisor of 60 and i.
60
Let o(h) = h**3 - 4*h**2 - 6*h + 7. Let q be o(5). Let x be q + -5 + 16 + 1. What is the highest common factor of 182 and x?
14
Suppose 4*n - 18*l - 1336 = -22*l, -2*l = -n + 331. Calculate the greatest common factor of 36 and n.
9
Let g(b) = -4*b**2 - 79*b + 50. Let f be g(-20). What is the highest common divisor of f and 1455?
15
Let z(l) = -l + 3. Let c be z(-1). Suppose 0 = 2*r, 17*v - 13*v + c*r = 120. Calculate the highest common factor of v and 105.
15
Let m(d) = -d**3 + 5*d**2 + 8*d - 6. Let r be m(6). Suppose r*u + 78 = 9*u. What is the greatest common factor of 130 and u?
26
Suppose -1249 = -14*t - 801. Let n be (-319)/(-4) - 3/(-12). What is the highest common factor of n and t?
16
Suppose 10 + 2 = 3*l. Let b(s) = 6*s - 15. Let i be b(l). Let w(y) = y**3 + 7*y**2 + 7*y + 15. Let t be w(-6). Calculate the greatest common factor of t and i.
9
Let c(d) = 3*d + 12. Let g be c(-4). Suppose g = 6*j - 2*j - 4. What is the highest common divisor of 4 and j?
1
Suppose 0 = -5*x - 10*x + 120. What is the greatest common divisor of x and 72?
8
Let t(q) = q + 1. Let d be t(-10). Let h = 39 + d. Let o be 2/3 - (-790)/h. Calculate the highest common factor of o and 18.
9
Let b(s) = 23*s - 18. Let z be b(2). What is the greatest common factor of 196 and z?
28
Let n be ((-6)/18)/(1 - (-38)/(-36)). Calculate the highest common factor of n and 1968.
6
Let h(d) = -d**3 + 19*d**2 - d + 20. Let y be h(19). Let j be 2 - (0 + -56 + y). What is the greatest common divisor of j and 38?
19
Let g = 160 - 150. What is the greatest common factor of g and 30?
10
Let z(t) = -t**3 + 4*t**2 + 14*t - 15. Let h be z(6). Let r = 13 + h. What is the highest common divisor of 2 and r?
2
Let u(b) = b**3 + 3*b**2 - 25*b - 29. Let s be u(-6). What is the greatest common divisor of 2 and s?
1
Let k be ((-1160)/435)/(2/(-33)). What is the greatest common factor of 242 and k?
22
Let a = 12 + 58. Let c be 12930/a - 2/(-7). Suppose -2*k + 160 = 2*v, 3*k - 4*v - 55 - c = 0. What is the greatest common divisor of k and 32?
16
Let l be (-4 + 1)*(0 + (-44)/6). What is the highest common factor of 11 and l?
11
Let r = 108 - 71. Suppose d + r = -14. Let u = d + 87. What is the highest common divisor of 24 and u?
12
Suppose 3*m = -2*u + 89, -17*u + 5*m + 25 = -16*u. Calculate the highest common divisor of u and 40.
40
Let q be ((-90)/(-9))/50 + 396/20. Let t be 4*-25*(-1 + 0). Let z = t - 0. What is the highest common divisor of q and z?
20
Suppose 5*g + 69 = 2*k + 173, 2*g + k = 38. Let a = g - -4. What is the highest common divisor of a and 8?
8
Suppose -1368 = -15*x + 3*x. Calculate the highest common factor of x and 171.
57
Let s = 64 - -33. Suppose 5*j - x = s - 20, -j + 5*x = -25. What is the highest common divisor of j and 3?
3
Let z be (1/(-3))/((-1)/6). Suppose 4*l - 58 + 10 = -z*x, 4*x - 132 = l. What is the highest common divisor of 16 and x?
16
Let l = -84 + 186. Suppose 15332*w - 15313*w - 646 = 0. Calculate the highest common factor of w and l.
34
Let c = 186 + -118. Calculate the greatest common factor of c and 12.
4
Let l = -33 + 53. Let k(t) = 9*t + 13. Let c be k(-4). Let q(m) = -m**3 - 22*m**2 + 15*m - 24. Let f be q(c). Calculate the greatest common divisor of f and l.
20
Suppose -5*w = -g + 3, 6*w - 5*g = w - 15. Let u = 69 - w. Calculate the greatest common divisor of u and 23.
23
Let y be (15/4 + -3)*(2 + 2). Suppose -k + 3*m + 205 = 0, -621 = 2*k - 5*k + y*m. What is the highest common divi
|
{
"pile_set_name": "DM Mathematics"
}
|
nynnynn.
5/182
Three letters picked without replacement from {h: 3, x: 4}. What is prob of picking 1 h and 2 x?
18/35
Four letters picked without replacement from wllllwllwllllllwwl. Give prob of picking 4 l.
143/612
Calculate prob of picking 3 f when three letters picked without replacement from fffff.
1
What is prob of picking 1 s and 1 d when two letters picked without replacement from {z: 1, s: 1, f: 1, d: 1, u: 1}?
1/10
Two letters picked without replacement from {o: 13, t: 6}. What is prob of picking 1 t and 1 o?
26/57
Calculate prob of picking 1 h and 1 d when two letters picked without replacement from {d: 4, h: 2}.
8/15
Two letters picked without replacement from uqnnunm. Give prob of picking 1 n and 1 u.
2/7
Two letters picked without replacement from lllllllsllllllsssls. Give prob of picking 2 s.
10/171
What is prob of picking 2 c when two letters picked without replacement from igicxciicx?
1/15
Three letters picked without replacement from ewpwf. What is prob of picking 1 w, 1 f, and 1 p?
1/5
Three letters picked without replacement from jjppjp. Give prob of picking 1 p and 2 j.
9/20
What is prob of picking 2 u when two letters picked without replacement from uxgggggsgxxgsxgxu?
1/136
Four letters picked without replacement from cmcmm. Give prob of picking 2 m and 2 c.
3/5
Two letters picked without replacement from jeeckccsjeeccs. What is prob of picking 1 k and 1 j?
2/91
Calculate prob of picking 2 w and 2 i when four letters picked without replacement from wwiwiwi.
18/35
What is prob of picking 3 j when three letters picked without replacement from {l: 15, j: 3}?
1/816
Three letters picked without replacement from guuy. What is prob of picking 1 g and 2 y?
0
Four letters picked without replacement from {v: 1, j: 4, m: 7, h: 1, i: 2, g: 2}. What is prob of picking 1 h, 1 g, and 2 v?
0
What is prob of picking 1 e, 1 m, and 1 o when three letters picked without replacement from dcomdxexocec?
1/55
Calculate prob of picking 1 w and 1 u when two letters picked without replacement from ipbgugwp.
1/28
What is prob of picking 1 q and 1 o when two letters picked without replacement from ggoqkqgkgkoggogggkg?
2/57
Two letters picked without replacement from {h: 1, c: 1, z: 1, l: 5, i: 1}. What is prob of picking 1 l and 1 i?
5/36
Calculate prob of picking 1 c and 1 i when two letters picked without replacement from cqyyicell.
1/18
What is prob of picking 3 p when three letters picked without replacement from {p: 7, b: 2, s: 1}?
7/24
Calculate prob of picking 2 n and 1 r when three letters picked without replacement from raanrrnrnn.
1/5
Two letters picked without replacement from {p: 2, j: 1, f: 3, r: 5, o: 1}. Give prob of picking 1 p and 1 o.
1/33
What is prob of picking 3 t when three letters picked without replacement from tthttthhthhtt?
28/143
Calculate prob of picking 1 p and 1 c when two letters picked without replacement from bmbbbbmbmbmmbpcbbbb.
1/171
Calculate prob of picking 4 e when four letters picked without replacement from {y: 7, e: 5}.
1/99
Calculate prob of picking 2 o and 1 j when three letters picked without replacement from {g: 1, j: 2, o: 2}.
1/5
What is prob of picking 1 z and 1 n when two letters picked without replacement from iqzgqqqignvn?
1/33
What is prob of picking 1 n, 1 q, and 2 f when four letters picked without replacement from {n: 2, w: 1, s: 3, q: 3, f: 3, u: 4}?
9/910
Three letters picked without replacement from {t: 2, i: 3, p: 3}. Give prob of picking 2 t and 1 i.
3/56
Calculate prob of picking 1 o and 1 y when two letters picked without replacement from tollttpppy.
1/45
Calculate prob of picking 1 e and 1 g when two letters picked without replacement from mgleeguu.
1/7
Four letters picked without replacement from dgddgddddddg. Give prob of picking 2 g and 2 d.
12/55
Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {i: 3, f: 7, x: 2, c: 4, e: 1}.
3/34
What is prob of picking 2 v and 1 w when three letters picked without replacement from {v: 2, w: 2, l: 4, j: 2}?
1/60
Calculate prob of picking 4 c when four letters picked without replacement from {c: 5}.
1
Four letters picked without replacement from {g: 3, f: 1, j: 3}. What is prob of picking 2 g and 2 j?
9/35
Calculate prob of picking 2 j and 1 m when three letters picked without replacement from {m: 15, j: 5}.
5/38
Calculate prob of picking 3 i when three letters picked without replacement from {x: 1, i: 3}.
1/4
Four letters picked without replacement from vxxxxxzxvrvvrxxz. Give prob of picking 1 r, 1 x, and 2 z.
4/455
What is prob of picking 1 z and 1 m when two letters picked without replacement from uzsyuzmuumuuummm?
1/12
What is prob of picking 3 r when three letters picked without replacement from {r: 3, q: 4}?
1/35
Three letters picked without replacement from nnrrrrrr. Give prob of picking 1 n and 2 r.
15/28
Two letters picked without replacement from vvzzvvvvvvvvvvvvvv. What is prob of picking 1 v and 1 z?
32/153
Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {t: 1, o: 7}.
1/4
Two letters picked without replacement from {p: 3, z: 4, y: 1}. Give prob of picking 2 z.
3/14
Two letters picked without replacement from {q: 3, b: 1, x: 6, j: 1, k: 3, y: 1}. Give prob of picking 1 q and 1 x.
6/35
Two letters picked without replacement from mehhhgameed. Give prob of picking 1 h and 1 g.
3/55
Four letters picked without replacement from iiiiiiiiiiiifii. Give prob of picking 4 i.
11/15
Two letters picked without replacement from rrdrrrddrrrrrrdddr. Give prob of picking 2 r.
22/51
Calculate prob of picking 2 v when two letters picked without replacement from {v: 6, r: 4, z: 4}.
15/91
Calculate prob of picking 1 b and 1 r when two letters picked without replacement from ddjbrmmmdbp.
2/55
Two letters picked without replacement from {p: 1, l: 1, b: 2, x: 1, i: 2}. What is prob of picking 1 i and 1 l?
2/21
What is prob of picking 2 d when two letters picked without replacement from {l: 3, d: 5}?
5/14
What is prob of picking 2 i and 1 k when three letters picked without replacement from sissiriirisrikrissis?
7/285
Two letters picked without replacement from {p: 9, i: 5, t: 2}. What is prob of picking 2 t?
1/120
Two letters picked without replacement from {n: 2, i: 2, c: 1, w: 2, t: 1, a: 1}. What is prob of picking 1 c and 1 w?
1/18
What is prob of picking 1 m, 1 p, and 2 k when four letters picked without replacement from {p: 1, k: 9, m: 1, n: 3}?
36/1001
Four letters picked without replacement from nluuuununn. What is prob of picking 3 u and 1 l?
1/21
Two letters picked without replacement from vvppppppppvppp. Give prob of picking 2 v.
3/91
Four letters picked without replacement from {k: 8, p: 5, y: 4}. What is prob of picking 4 p?
1/476
Calculate prob of picking 3 v and 1 q when four letters picked without replacement from {c: 3, v: 5, q: 1, p: 1}.
1/21
Calculate prob of picking 2 k and 1 j when three letters picked without replacement from pjjkjjjjjjjkkjj.
33/455
Calculate prob of picking 2 h when two letters picked without replacement from {w: 4, h: 15}.
35/57
Two letters picked without replacement from {d: 1, m: 2, a: 1, h: 3, j: 5}. What is prob of picking 1 a and 1 d?
1/66
What is prob of picking 2 d when two letters picked without replacement from {q: 3, d: 11}?
55/91
What is prob of picking 3 h when three letters picked without replacement from mohoqaoqhoohuaqhou?
1/204
Four letters picked without replacement from {f: 1, b: 2, a: 8, g: 2, m: 3, x: 1}. Give prob of picking 1 b and 3 m.
1/1190
What is prob of picking 2 m when two letters picked without replacement from mmmmmmmlmmlmmmmmml?
35/51
What is prob of picking 3 q when three letters picked without replacement from {q: 11, p: 2}?
15/26
Calculate prob of picking 2 q when two letters picked without replacement from {g: 1, h: 3, f: 3, q: 3, v: 1}.
3/55
Calculate prob of picking 1 l, 1 b, and 1 n when three letters picked without replacement from {y: 6, l: 9, n: 2, b: 1, h: 1}.
6/323
Four letters picked without replacement from wzzwzzzbzzhzbizzzwh. Give prob of picking 1 b and 3 w.
1/1938
Two letters picked without replacement from flfnllknplkkkflf. What is prob of picking 1 l and 1 f?
1/6
What is prob of picking 2 k a
|
{
"pile_set_name": "DM Mathematics"
}
|
*-7.
1.297317
Product of -40 and -0.432.
17.28
0.3*144
43.2
What is 1.46 times 652.7?
952.942
10 * -310.88
-3108.8
What is 68 times 22.64?
1539.52
What is the product of 0.1 and 452282?
45228.2
Calculate -6836*-0.2.
1367.2
Calculate -601597.8*-0.4.
240639.12
What is the product of 0.1 and -0.59002?
-0.059002
Multiply -40 and 28407.
-1136280
6819*-3
-20457
-0.24 * 4.52
-1.0848
96286 * 3
288858
9 * -66356
-597204
What is the product of -16 and -865?
13840
Product of 2015.7 and 0.9.
1814.13
0.139533*0
0
What is the product of -12009 and 3?
-36027
2413*0.4
965.2
-228*235
-53580
Calculate 99502*-0.02.
-1990.04
Work out 0.21 * -56.11.
-11.7831
Calculate -3*13.7191.
-41.1573
Product of -0.25 and 10052.
-2513
-2853 times 110
-313830
Calculate -19073*3.
-57219
-830.766 times 0.3
-249.2298
What is -1 times 83595?
-83595
Multiply -1156285 and -3.
3468855
34*0.08078
2.74652
Calculate -0.13*25806.
-3354.78
-325484*-0.5
162742
192800 * -3
-578400
Calculate 16.81*-75.
-1260.75
Calculate -1.2*63426.
-76111.2
Product of -0.1 and 528.314.
-52.8314
What is the product of -2 and -0.12533?
0.25066
20.2 * -1.0032
-20.26464
Calculate 27827*1.2.
33392.4
-0.5 times -26152
13076
What is 0 times 8527?
0
3.4*3239
11012.6
0.4 times 23.103
9.2412
Calculate -49701*-5.
248505
3.15758 * -0.1
-0.315758
What is the product of 133286 and -0.3?
-39985.8
What is the product of -3 and -193348?
580044
0.075*-10970
-822.75
What is 0.018 times -30.8?
-0.5544
What is the product of 39.08 and -80?
-3126.4
What is 0.01897 times -14?
-0.26558
What is 13425 times -0.2?
-2685
-5.65501*0.1
-0.565501
-8.7505 times -14
122.507
Product of 47301 and -0.23.
-10879.23
-5 * -1.953
9.765
Calculate -425842*4.
-1703368
Calculate -1*47401.
-47401
Calculate -29438*0.5.
-14719
-0.9227*1.9
-1.75313
Work out -263 * 227.
-59701
What is the product of -4.149 and -29.5?
122.3955
0.3 times -0.033784
-0.0101352
What is 383.6 times -1?
-383.6
What is 156.47 times 0.5?
78.235
What is -0.3 times -2365.6?
709.68
-238 * -0.23
54.74
0.5 times -43.764
-21.882
Calculate 173.5*556.
96466
-7080 times -238
1685040
What is 117802 times 10?
1178020
What is the product of -0.70677 and -1?
0.70677
Product of 2536 and -16.2.
-41083.2
What is 3 times -6223?
-18669
-0.04547 times -0.9
0.040923
Work out -0.2 * 0.06293.
-0.012586
What is the product of 4 and -5.5083?
-22.0332
-138.1 * -24.2
3342.02
Calculate -3774*0.01.
-37.74
Multiply -2 and 22332.
-44664
What is 0.5 times -165562?
-82781
What is 0.185 times 237?
43.845
Calculate 7*107.87.
755.09
1 times 10.09
10.09
What is 1051 times 0.059?
62.009
What is the product of 1102387 and -5?
-5511935
0 * 654.7
0
114773*5
573865
What is -4.758 times -0.12?
0.57096
-444*57
-25308
Calculate -1*-12316.
12316
Work out -0.29 * -483.
140.07
-1 times -6240.6
6240.6
What is the product of 0.0143 and -572?
-8.1796
What is 70562.9 times 0?
0
Calculate -8918*-4.
35672
Calculate 12*-347.
-4164
-56419*0.048
-2708.112
0.6*14.762
8.8572
-33675*0.011
-370.425
Multiply 8.23 and -0.17.
-1.3991
Multiply -16394 and 30.
-491820
What is -0.5 times -37899?
18949.5
-177*10.04
-1777.08
6456*0.16
1032.96
What is the product of 4469046 and 0?
0
Work out -0.8317 * -2.23.
1.854691
What is 5 times 2.0479?
10.2395
Product of 30 and 5.8758.
176.274
-0.1634677*-3
0.4904031
0.021694 times 39
0.846066
Multiply -458 and -8653.
3963074
Calculate 0.0376*11.2.
0.42112
-60*902
-54120
Product of 3.8 and -23.6.
-89.68
Product of 0.3 and 6879.
2063.7
-24.557 * -4
98.228
168782 * 0.3
50634.6
-18 times 3614
-65052
What is 0.0397 times -93?
-3.6921
Multiply 29 and 608.
17632
What is 1.3072 times 0?
0
Multiply -149 and 4356.4.
-649103.6
What is the product of -21 and 0.2716?
-5.7036
-1.013 * -0.29
0.29377
Multiply 951 and -45.
-42795
What is the product of -26 and 38.068?
-989.768
Product of -0.37522 and 2.
-0.75044
What is the product of 0.4 and 2066.2?
826.48
Product of -7 and -19.271.
134.897
Calculate -0.4*8008.67.
-3203.468
Calculate -0.09076*-82.4.
7.478624
What is the product of -3 and 947.7?
-2843.1
Multiply 42895 and -0.2.
-8579
20 * -808
-16160
Product of -53 and 91.
-4823
Product of 0.01 and 20053.
200.53
What is the product of -5 and 0.0481782?
-0.240891
What is 0.3202 times 10.9?
3.49018
-0.1542 times 0.053
-0.0081726
5 * 47645
238225
Multiply -74.5 and -697.
51926.5
Work out 0.21 * 62.641.
13.15461
Work out 47399 * -1.2.
-56878.8
What is 0.31152 times 25?
7.788
Calculate -0.13178*-14.
1.84492
Calculate -700*60.
-42000
Product of 0.3 and 63593.
19077.9
Product of 147 and 329.
48363
What is the product of 4 and -95094?
-380376
What is the product of -204 and 6.22?
-1268.88
Calculate 13.388*-37.
-495.356
-0.3 * -188601
56580.3
Product of -1.67 and 22.34.
-37.3078
0.0428 times 3349
143.3372
Work out 0.2 * -0.6376.
-0.12752
Work out -309238 * -0.1.
30923.8
What is -0.1 times -9.9388?
0.99388
-52780*2
-105560
Calculate 13501*-65.
-877565
-8163.5*-1
8163.5
3380 times 0.322
1088.36
What is 0.0212 times 0.0791?
0.00167692
Work out -0.071 * -0.4676.
0.0331996
-1166*-0.18
209.88
Multiply -139 and -216.
30024
-1.9 times -14.53
27.607
What is the product of -5 and -115628?
578140
Product of 0 and -27296.
0
What is -9 times 327?
-2943
Multiply 1.1815 and 0.5.
0.59075
Work out -164 * 0.0187.
-3.0668
Product of 3.1294 and -7.
-21.9058
What is the product of 0.939 and 580?
544.62
Product of -0.21 and -1430.
300.3
What is -3889 times -3?
11667
Product of -14217 and 0.09.
-1279.53
Multiply -399 and -12.28.
4899.72
Work out 0.021631 * -0.2.
-0.0043262
Multiply 0.119 and -947.
-112.693
436 * -5.555
-2421.98
38112 * -4
-152448
0.06340316 * 0.1
0.006340316
Multiply -2 and 25134.
-50268
Calculate -0.2*0.9895.
-0.1979
What is 1620 times -1.626?
-2634.12
1.4087 times -9
-12.6783
What is 0 times -733.6?
0
Work out -0.178 * -0.18.
0.03204
-3345 * -90
301050
What is 8203 times -2?
-16406
What is the product of 0.5 and -11455?
-5727.5
3 times 5584
16752
Work out 4.9 * -117920.
-577808
Product of 378 and 0.0233.
8.8074
Product of -7455 and -0.11.
820.05
Calculate -1101.8*13.7.
-15094.66
-0.6*75448
-45268.8
Product of -0.7 and -16042.
11229.4
Work out 0.4 * 1579.1.
631.64
Multiply -0.35 and 56720.
-19852
Calculate -0.3*10103.
-3030.9
0.65*67
43.55
Product of -27.3988 and 5.
-136.994
Work out 15 * -15.79.
-236.85
57038*0.5
28519
Product of 0.039 and -0.0487.
-0.0018993
Work out 0.4418 * 43.
18.9974
Product of 0 and -19710.
0
Work out 0.2 * 9850.
1970
Product of 0.0841 and -0.61.
-0.051301
666303 times 0.1
66630.3
Multiply -16159 and 55.
-888745
-2.513764 times -0.3
0.7541292
0.38*-2991
-1136.58
-0.090308 times 0.3
-0.0270924
Multiply 0.919 and -0.03.
-0.02757
What is the product of -0.5619 and -5?
2.8095
Work out -0.09 * 1298.2.
-116.838
What is 333 times -0.53?
-176.49
Multiply -74 and 1.57.
-116.18
Multiply 27 and 72.
1944
Multiply 7 and 25751.
180257
-5 * -568120
2840600
What is the product of -2504870 and 0.5?
-1252435
Product of -0.02 and -120438.
2408.76
-48669 * 0.1
-4866.9
What is -82401 times -5?
412005
Calculate 0.2*-73342.
-14668.4
2.38942 times 0
0
6 * 8692
52152
What is the product of 0.13 and -912?
-118.56
What is -45379 times -9?
408411
What is the product of 4 and -76.1107?
-304.4428
-1 * -0.37168
0.37168
Product of 35 and -2.1461.
-75.1135
14830 times -1
-14830
What is the product of -104 and 189?
-19656
What is -0.3237 times 0.12?
-0.038844
-108481*0.1
-10848.1
What is the product of 27.13 and -0.043?
-1.16659
Work out 3 * -1125317.
-3375951
Calculate 3189.8*-9.
-28708.2
-0.035*-5.4
0.189
Product of 0.11916 and 11.
1.31076
0.2 times 1429.307
285.8614
Work out -207 * 0.08.
-16.56
11.9 times 12736
151558.4
What is -3.7 times 156456?
-578887.2
Multiply -6.19 and 0.0099.
-0.061281
Product of -5.02 and -0.039.
0.19578
Calculate -48552*-0.1.
4855.2
Product of 0.1 and -97425.
-9742.5
What is -1.5 times 8993?
-13489.5
What is the product of -0.1 and -55.95?
5.595
Product of -3 and -1192195.
3576585
What is 0.67364 times -0.5?
-0.33682
What is 138.2 times -1.4?
-193.48
Work out -658 * 0.047.
-30.926
Multiply 1.06 and 141.
149.46
-1.7501*0.4
-0.70004
123047.7*-0.1
-12304.77
-29338*0.11
-3227.18
Calculate -0.0721*-171.
12.3291
Product of 0.17 and -17513.
-2977.21
What is 65 times 35.63?
2315.95
Multiply -914 and 0.328.
-299.792
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
= -k*s - 12. Let m = 26 - s. What are the prime factors of m?
23
Let l be 15 + -2*(2 - 3). Suppose -4*t - 8 = 0, 0 = -5*k - 5*t - 3 - l. List the prime factors of (-1)/(k/2) - -37.
2, 19
Let s(b) = -68*b + 50. What are the prime factors of s(-8)?
2, 3, 11
List the prime factors of 40 - (-4 + 0 + -2 - -5).
41
Suppose 19*h - 9*h = 5730. What are the prime factors of h?
3, 191
Suppose -67*c + 137275 = 32889. List the prime factors of c.
2, 19, 41
Suppose -11*t + 14*t + 9 = 0. Let y(f) = -2*f**3 + f**2 + 4*f + 6. What are the prime factors of y(t)?
3, 19
Suppose 10*z + 846 + 804 = 0. Let x = -60 - z. What are the prime factors of x?
3, 5, 7
Let s be 4/10 - (-72)/20. Suppose -214 = -3*d + 2*y, 5*d - 483 + 127 = s*y. Let f = d - 31. List the prime factors of f.
41
Let h(q) = 5*q**2 + 3*q + 2. Let s be h(4). Suppose 2*n + 0*d - d + s = 0, 4*n + 4*d = -200. What are the prime factors of ((-1)/1)/(8/n)?
2, 3
What are the prime factors of (-261)/(-6)*8/(3 - 1)?
2, 3, 29
Let y = 4298 + -2446. What are the prime factors of y?
2, 463
Suppose 4*j + 3*z = 3875, -1936 = 4*j - 6*j - 2*z. What are the prime factors of j?
971
What are the prime factors of 2*(-3)/12*-4370?
5, 19, 23
Let f(q) = 2*q - 30. Let p be f(16). Suppose -76 = -p*a + 14. What are the prime factors of a?
3, 5
Let b = 31 + -28. Suppose -2*z = -b*z. Suppose -91 = -3*p - z*n + 5*n, -2*n = 4*p - 130. List the prime factors of p.
2
Suppose 4*d = 6*d + 48. Let v be d/(-16)*58/3. Suppose 2*p = p + v. List the prime factors of p.
29
Suppose 5*m = 9*q - 7*q - 582, q = -5*m + 291. What are the prime factors of q?
3, 97
Suppose 4*j - 2*j - 3*c = -6, 2*j = 2*c - 4. Suppose -a + 56 + 118 = j. What are the prime factors of a?
2, 3, 29
Suppose 4*b + 99 = 479. Let y = b + -38. List the prime factors of y.
3, 19
Let h(c) = -34*c**2 + c - 3. Let r(w) = -103*w**2 + 3*w - 9. Let u(y) = 8*h(y) - 3*r(y). List the prime factors of u(2).
149
Let q(r) = 115*r - 871. List the prime factors of q(54).
19, 281
Let i be 28/3*15/(-2). What are the prime factors of (-2 + 12/(-21))/(5/i)?
2, 3
Suppose -4*f = -l + 21, -4*l + f = -73 + 4. Let o = 8 - l. What are the prime factors of 1068/16 - o/(-12)?
2, 3, 11
Suppose -2*a + 1 - 7 = 2*c, 5*a = 2*c + 6. Let r = 13 - 36. Let h = a - r. What are the prime factors of h?
23
Suppose 3 = w + 1. Suppose 5*r - 451 = -w*f - 44, 0 = -2*r + f + 170. What are the prime factors of r?
83
Let n(j) = j**2 - 6*j - 27. Let f be n(9). Suppose -2*r - 5*u + 34 = 10, -5*r - 2*u + 102 = f. What are the prime factors of r?
2, 11
Let k(m) = -37*m**3 - 9*m**2 + 8. Let x(r) = 19*r**3 + 4*r**2 - 4. Let l(w) = 2*k(w) + 5*x(w). List the prime factors of l(2).
2, 43
Suppose -o + 959 = n + 4*o, 3936 = 4*n - 5*o. What are the prime factors of n?
11, 89
Let y(k) be the third derivative of -k**4/8 + 13*k**3/3 - 18*k**2. List the prime factors of y(-23).
5, 19
Let o = -5 + 5. Suppose o = t - 3*f + 5, t - 2*f = -3*t + 10. Suppose 0 = t*d - 5*b - 13, -d + 6*d - 2*b - 29 = 0. List the prime factors of d.
7
Suppose 62 = 12*z + 14. Suppose 4*p = z*c - 512, 0*p = -4*p + 20. List the prime factors of c.
7, 19
Suppose -73 - 89 = -3*n. List the prime factors of ((-1)/1)/((-3)/n).
2, 3
Let t(i) = -i**2 + 3*i + 13. Let g be (4 - 0)/((-42)/(-21)). Suppose -3*m - 7 = -2*k + 2, g*k - 6 = 2*m. List the prime factors of t(k).
13
Let d(f) = f - 4*f**3 + 6*f**2 - 1 + 3*f**3 + f - f. Let q be d(6). Suppose -n + 6 + 1 = 5*u, -3*n + 21 = -q*u. List the prime factors of n.
7
Let o(l) = 15*l**2 - 6. What are the prime factors of o(-5)?
3, 41
Let n = 32 - 29. Suppose -83 = -n*h + 82. What are the prime factors of h?
5, 11
Suppose -8*f + 30 = -3*f. List the prime factors of ((-72)/(-24))/(f/94).
47
Suppose -5*q = -3*q + 24. Let v = -7 - q. Suppose i - 29 = -v*l, 0 = l - 5*i + 3*i - 8. List the prime factors of l.
2, 3
Let f = 1656 - 804. What are the prime factors of f?
2, 3, 71
Let g = -377 + 720. List the prime factors of g.
7
Let c = 47 - 44. What are the prime factors of -4 - (-114)/(-2 + c)?
2, 5, 11
Let q(c) = c**3 + 8*c**2 + 7. Let g be q(-8). Suppose -3*k + 32 + g = 0. Let u = k + -7. What are the prime factors of u?
2, 3
List the prime factors of 106 + (1 - -1)/((-38)/57).
103
Let u = 34 - 30. Suppose -u*f = -6*f + 22. What are the prime factors of f?
11
Let b be ((-2)/5)/((36/6)/(-630)). Suppose 2 = -h + 2*h. Suppose 7*q = 2*q - h*a + 184, -q = 3*a - b. List the prime factors of q.
2, 3
List the prime factors of (-800)/(-2) + (-6)/3*1.
2, 199
Let j be 10/(-30) - 722/(-6). Suppose 2*y = k + 96, -5*y - 2*k + 138 = -j. List the prime factors of y.
2, 5
Suppose 2*d = -3*n + 5*d + 3009, -3*d + 12 = 0. What are the prime factors of n?
19, 53
Let f(k) = -k + 4. Let b(m) = -3*m - 24. Let y(t) = 1. Let v(l) = -b(l) - 18*y(l). Let x be v(-6). List the prime factors of f(x).
2
Suppose -15 = -w - 2*w. Let t = w + 5. Suppose j - 38 = -t. List the prime factors of j.
2, 7
Let s be (-1 - -1) + 146/1. Let z = 20 - 15. List the prime factors of 1/(-5) + s/z.
29
Let z(i) = i + 4. Let x(m) = -3*m - 7. Let o(h) = 3*x(h) + 5*z(h). Suppose 3*t - 2*t + 4 = 0. List the prime factors of o(t).
3, 5
Suppose 0 = 2*d - 21 - 27. Let a = 299 - d. List the prime factors of a.
5, 11
Let w(m) = 286*m - 1. Let x be w(-1). Let q = 422 + x. List the prime factors of q.
3, 5
Let n be 1*3*(4 - 3). Suppose 626 = -n*l + 191. What are the prime factors of 6/21 - l/7?
3, 7
Let j(z) = 61*z + 73. List the prime factors of j(5).
2, 3, 7
Suppose -a - 330 = -4*a. Let u = a - 66. What are the prime factors of u?
2, 11
Suppose -67 - 10 = 3*x + f, -4*f = -3*x - 52. Let c = 23 + x. Let g(a) = 7*a**2 + 2*a + 2. What are the prime factors of g(c)?
7
Suppose 52*u + 284 = 54*u. List the prime factors of u.
2, 71
Suppose -68 = 5*u - 2*x, 3*u - 4*x + 40 = u. What are the prime factors of 1 + (-1545)/u + (-6)/(-24)?
2, 5, 13
Suppose 2*w = 5*w. Suppose -v = -w*v - 36. What are the prime factors of v?
2, 3
Let f(u) = 140*u**2 - 136*u**2 - 6 + 5*u + u. What are the prime factors of f(-8)?
2, 101
Let g = 138 - -252. Suppose -4*m = m - g. What are the prime factors of m?
2, 3, 13
Suppose -a + 1 + 0 = f, 24 = 4*f - a. What are the prime factors of (-56)/10*f/(-2)?
2, 7
Suppose 5*f = 5*n - 25, 7 = -4*n - 8*f + 3*f. Suppose -q - n*q = -i, -7 = -4*q - i. Suppose 0 = -2*w + 5 + q. What are the prime factors of w?
3
What are the prime factors of 9/15 - (-199408)/220?
907
Let c(w) = 0*w**2 + 29 - 13*w - 9*w - w**2. List the prime factors of c(-16).
5
Let b(r) = 13*r**2 - 11*r + 3. What are the prime factors of b(-8)?
13, 71
Let h(x) = -x + x + 0*x + 11*x**2. Let q = -14 + 15. What are the prime factors of h(q)?
11
Suppose 0 = -5*v + 4*v + 87. Let b = 187 - v. What are the prime factors of b?
2, 5
Suppose -4*k + 0*k + 36 = 0. What are the prime factors of (1 - k)*6/9*-15?
2, 5
Let t = 189 - 56. Let o be (t + -1)*6/4. Suppose j = -4*j + 4*s + o, -2*j + 80 = -2*s. What are the prime factors of j?
2, 19
Let j = -681 + 1218. What are the prime factors of j?
3, 179
Let p(k) be the third derivative of -k**6/144 + k**5/120 + 5*k**4/24 + 7*k**2. Let i(q) be the second derivative of p(q). List the prime factors of i(-6).
31
List the prime factors of 2158 - ((-3 - 0) + 31)/4.
3, 239
Suppose n + 14 = 4*n + 2*a, -3*a = -12. Suppose -n*t - 4*t = -432. List the prime factors of t.
2, 3
Let v be 2/(-4)*2 - (-1295 + 0). What are the prime factors of (-8)/76 - v/(-19)?
2, 17
Let h = -123 + 345. What are the prime factors of h?
2, 3, 37
Let y(b) = -b**2 + 1. Let l be y(0). Let s = l + 2. Suppose -5*a - 115 = -5*z + 110, 141 = s*z - a. List the prime factors of z.
2, 3
Suppose 4*v - 8*v = -s + 378, -2*v + 4 = 0. List the prime factors of s.
2, 193
Let w(k) = 2*k**2 - 13 + 0*k + 2*k**2 + 2*k. What are the prime factors of w(4)?
59
Let d = 1 + 0. Let b(j) = 36*j**2 + 3 - 5705*j + 2*j**2 + 5703*j. List the prime factors of b(d).
3, 13
Let h = 2347 - 1485. List the prime factors of h.
2, 431
Suppose -j - j + 5*z + 19 = 0, 0 = -4*j - 5*z - 7. Suppose 7*s = -193 + 53. List the prime factors of s*(j + (-48)/20).
2
Let t(y) = -y**3 + 3*y**2 - 5*y + 3. Let m be t(3). Let o = -12 - m. Suppose -3*p + a + a + 56 = 0, -p - 3*a + 26 = o. What are the prime factors of p?
2, 5
Suppose -239 = 6*b - 65. Let f(k) = -13*k**2 + 2*k
|
{
"pile_set_name": "DM Mathematics"
}
|
he biggest value? (a) u (b) -0.3 (c) k
c
Let v = -17.7 + 705.7. Let f = -683 + v. What is the smallest value in 3/4, -0.004, f, 3/7?
-0.004
Let d = 0.05 + -0.47. Let o = -0.48 + d. Let g be 2 - -1*(-4 + 3). What is the biggest value in g, -3, o?
g
Let h = -0.1 + 0.3. Let w = -2 - -6. Let l = -9.9145 - -10.2145. Which is the smallest value? (a) l (b) h (c) w
b
Let j = 10382.95 - 10383. Let w be ((-12)/(-18))/(-1 - 1). What is the second biggest value in j, 6/7, w?
j
Let l(h) = 9*h - 1. Let b be l(1). Let d be b/(-2) + 34/8. Let t = -17.5 + 19.5. What is the fourth biggest value in -6/11, -2, t, d?
-2
Let y be ((-9)/63)/((-3)/(-6)). Let f = 55 + -36. Let z = -21 + f. Which is the biggest value? (a) y (b) z (c) 3
c
Let g = -7 + 6. Let n = -1.5 - g. Let d be 5 + 0 - (18 - 12). Which is the biggest value? (a) d (b) n (c) 13/3
c
Let z(y) = 550*y + 2752. Let p be z(-5). Which is the fourth smallest value? (a) -0.15 (b) p (c) 0.03 (d) -0.1
b
Let o = 31513 + -32190. What is the second smallest value in 6, 5, o?
5
Let w = 157865.6 - 157866. Let q = -9/8 - -43/24. Let j = -0.4 - 0.1. Which is the fourth biggest value? (a) -1 (b) w (c) q (d) j
a
Let k = 148.90785 - -0.09215. What is the biggest value in k, -2/17, -1, 0.3, -2?
k
Let r = -0.89 + 51.89. Let l = -38.6 + -12.8. Let q = l + r. Which is the second biggest value? (a) 2/7 (b) -2/11 (c) q
b
Suppose 223*z + 69 = -154. Let f be 2/5 - 22/5. What is the fourth smallest value in 4, f, z, 0?
4
Suppose l = 5*u + 12 + 7, -u - 5 = l. Let k(p) = -13*p - 20. Let i be k(-5). Let r = -44 + i. Which is the fourth smallest value? (a) 4/5 (b) r (c) l (d) 6
d
Suppose 1278*h - 1318*h = 209880. What is the second smallest value in 4, 2, h?
2
Let t = -547/6596 + -2/4947. Which is the biggest value? (a) 0.2 (b) 3 (c) 0.07 (d) t
b
Let q be (4/30)/((-8)/120*5). Which is the smallest value? (a) 19 (b) -3 (c) 0.16 (d) q
b
Let h be 1/(-2) - 2/2 - 46228/(-26416). Let z = 0.04 - 0.74. Which is the third smallest value? (a) z (b) 17 (c) h
b
Let w = 0.403 - 0.003. What is the third smallest value in 16, -4, w, 0.2, -3?
0.2
Let r = -103 + 38. Let f = r - -65. Which is the third smallest value? (a) f (b) 0.4 (c) -8/5
b
Suppose 0 = 5*r + 3*t - 613, -2*t - 416 = -5*r + 192. Let i = -611/5 + r. What is the second smallest value in 0.7, i, -3, 1?
i
Let q = -28.971 - 0.029. Let z = 27 + q. Suppose 0 = -11*i + 12*i - 2. What is the second smallest value in i, -0.4, z?
-0.4
Let n = 7469 - 7469. Which is the fifth smallest value? (a) 1 (b) n (c) -0.027 (d) 5 (e) -5
d
Let o be 4/(-10)*5/(-2). Let i be (-21)/28 - o/(-4). Let k = 10.81 - 8.71. What is the biggest value in k, i, 0.5?
k
Let n be -5 - (-483)/24 - 15. Which is the third smallest value? (a) n (b) 4 (c) -21
b
Let k = -252 + 256. Let q = -1894/11 - -172. Which is the second biggest value? (a) k (b) 0.04 (c) q
b
Let g = -6.842 + 6.742. Which is the second smallest value? (a) g (b) 250 (c) 0
c
Let m be -9 + (-18 - 1066/(-39)). Let q = 0.4 + -5.4. Which is the smallest value? (a) m (b) q (c) -51
c
Let y = 13.791 - -189.589. Let q = -207 + y. Let p = q + -0.38. Which is the second smallest value? (a) -0.2 (b) p (c) -3
c
Suppose -6*r = 210 - 240. Which is the third biggest value? (a) r (b) 0 (c) -0.3 (d) -6 (e) -20
c
Let p be (-314525)/65 + 54/9. Let n = 4837 + p. What is the biggest value in -3, n, 0.1?
n
Let n = -216 + 221. Let t = 2808 + -193756/69. Let g = -5/46 + t. What is the biggest value in g, n, -5, -0.5?
n
Let z be (0 - 0) + (-4)/30. Let y be 24/(-3) + ((-240)/(-70))/(-5 + (-296)/(-56)). Which is the second biggest value? (a) y (b) 0 (c) z (d) 3/4
d
Suppose -645 - 650 = -5*d. Let t = d + -1299/5. What is the fourth biggest value in t, 0.2, -3, -1/2?
-3
Let r be 60/(-99) - (-4)/12. Let d = 4.1 - 0.1. Let s = -89 - -86. What is the third biggest value in -1/3, r, d, s?
-1/3
Let x = -0.2749 + 0.0749. What is the biggest value in 0.16, 14, x, 0.3, 0?
14
Let p = 2654 + -2657. Which is the biggest value? (a) -0.1 (b) -8 (c) -10 (d) p (e) 1/7
e
Let p = 399.16 - 406. Let w = p + 6.89. Which is the second biggest value? (a) -0.04 (b) w (c) -0.4
a
Suppose -4*z = -2*f - 4978, 0*z - 8 = 2*z. Let l = f - -7960/3. Let i = l - 158. What is the smallest value in -1/4, i, -4, 3?
-4
Let w = -70.105 - -70. Let k = w + -1.895. Let g = 17.1 - 17. Which is the third biggest value? (a) k (b) g (c) -2/7
a
Let y = 23370 + -23373. Which is the second smallest value? (a) -4 (b) -6/13 (c) 47 (d) y
d
Let r = 102.8 - 100.8406. Let k = r - -0.0406. Which is the second biggest value? (a) k (b) -1 (c) 0.2 (d) -6
c
Let g = -0.8522 + 0.8322. Let b = -10 - -10.2. What is the biggest value in b, g, 5?
5
Let p = 526.16 - 526. Which is the third smallest value? (a) -7 (b) p (c) 0.1
b
Let l = 317/65 + -66/13. Let v be (-4)/(-7) - (-61676)/308. Let r = v - 201. Which is the smallest value? (a) 2/17 (b) l (c) r
b
Let s = -34/325 - 31937/2275. Which is the third smallest value? (a) s (b) 1 (c) -1/4
b
Let q be (18/(-28))/(96/(-112)). Let u = -0.1 - -0.2. Let i = 6.66 + -7.06. Which is the third smallest value? (a) 1 (b) i (c) u (d) q
d
Let u = 9230 - 9229.6. What is the fourth biggest value in -1/3, -2/3, u, -3, -0.2?
-2/3
Let r be 12943/(-18490)*(1 - (-3)/(-7)). What is the second biggest value in -0.27, -1, 1/7, r, -0.3?
-0.27
Let w = 6736 + -6731. What is the fourth smallest value in 0.05, -9, w, 6?
6
Let n = -5053 + 217283/43. Which is the fourth smallest value? (a) 3 (b) n (c) 1 (d) 0.3
a
Let x = -1203.4 + 1199. Which is the third biggest value? (a) 0.027 (b) x (c) -4
b
Let a be ((-35)/(-245))/((-13)/39). What is the smallest value in -0.001, a, -2/5, -6/11?
-6/11
Let x = 380 - 376. Suppose -5*g + x*g + 4*i = -19, 4*g - 21 = 5*i. Which is the fourth smallest value? (a) 1/2 (b) g (c) -7 (d) 5
d
Let k = -0.211 - 0.059. Let w = 1958.7 - 1959. Which is the third smallest value? (a) w (b) -4 (c) k (d) -0.2
c
Suppose -m = -2*m. Let s(z) = 8*z**2 - 2*z + 3. Let i be s(1). Which is the smallest value? (a) i (b) -2 (c) m (d) -1
b
Suppose 0*k = -2*k - 3*d + 10, 0 = 5*k - 2*d + 13. Let m = -99 - -589/6. Let y = m - -2/3. Which is the third biggest value? (a) k (b) 3 (c) y
a
Let o = 6.046 + -6.046. Which is the second smallest value? (a) 0.3 (b) 1/2 (c) -3 (d) o (e) -71
c
Let z = -244 + 62. Let v be 28/182 - 24/z. Let u = -6 + 2. Which is the smallest value? (a) 1 (b) u (c) v
b
Let r = 265/178 - -1/89. Let l = r + -49/30. Which is the second biggest value? (a) 0.2 (b) l (c) -6/11
b
Let w = 0.5 - 0. Let f = -393.56 - -393.46. What is the third biggest value in -0.2, w, 0.13, f?
f
Suppose 2*u = 5*q - 20, -4*u - u - 4*q = 17. Let o = 78937 + -78939. Which is the smallest value? (a) u (b) 2/17 (c) o (d) -9
d
Let i = 162 - 186. Let g be (i/(-72))/(2/(-126)). What is the third smallest value in 5, g, 3?
5
Let p = 3.4 + 0.6. Let y = -0.5254 + 14.5254. Let j be (-2)/3 + (-13)/(-15). Which is the third smallest value? (a) p (b) y (c) j
b
Let o = -500 - -499.9. Which is the second smallest value? (a) o (b) 3/2 (c) -3 (d) 300
a
Let u(m) = m**2 - 10*m + 18. Let p be u(7). Let z be ((-20)/(-8))/(p + 6). Suppose 0 = 12*f - 6*f + 30. Which is the second biggest value? (a) -2 (b) z (c) f
a
Let a = 129.88 + 0.12. Let k = a - 131. What is the second smallest value in -3, -2/7, k?
k
Let h be ((-186)/(-552))/(2/232). Let g = h + -39. Which is the second biggest value? (a) -3/5 (b) 0 (c) g (d) 3
c
Let n = 24.89 + -25. Let m = -53.51 + 53.81. What is the fourth smallest value in -0.2, n, m, -0.4?
m
Let g = 0.44297 + -0.04297. Which is the third smallest value? (a) g (b) 25 (c) -3
b
Let r = -0.178 - -0.578. Let n = -1 - 0. Let w(x) = x**3 - 3*x**2 + 2*x - 1. Let t be w(3). What is the second smallest value in t, -0.01, r, n?
-0.01
Let o = 1.17 + -1.076. Let s = 0.586 + o. Let v = s - 16.68. What is the biggest value in 1, -5, v?
1
Let q = 0.1 - -0.1. Let y = -1.953888 - 0.046112. What is the second smallest value in q, y, 0.01?
0.01
Let z = 1.2 + -1. Let p = -5524 - -5536. What is the biggest value in -2/3, p, -1, z?
p
Let m = -124.77 + 125.07. Which is the biggest value? (a) -2 (b) m (
|
{
"pile_set_name": "DM Mathematics"
}
|
in descending order.
3, 1, 2/3, 0.4, -1/5, -3106
Sort -64, -33, -4, 4 in ascending order.
-64, -33, -4, 4
Put -1039, 0, 1, -1 in ascending order.
-1039, -1, 0, 1
Put 1/4, 5485, 0, -4 in increasing order.
-4, 0, 1/4, 5485
Sort -1/3, -8, -5, -1, 31, -4.
-8, -5, -4, -1, -1/3, 31
Sort 0, -1879, -5 in decreasing order.
0, -5, -1879
Put 12, -0.3, -2/3137, -2, 0 in decreasing order.
12, 0, -2/3137, -0.3, -2
Sort 3, 0, -146/5, 9.4.
-146/5, 0, 3, 9.4
Sort 5, -1, -66, -0.1, -0.7, 3/4 in decreasing order.
5, 3/4, -0.1, -0.7, -1, -66
Sort -10/19, 1/2, 1/4, 0.2, 2/9 in decreasing order.
1/2, 1/4, 2/9, 0.2, -10/19
Put 1/3, 0, -5, -14, 0.559 in increasing order.
-14, -5, 0, 1/3, 0.559
Put 105463, -5, 4, -3 in ascending order.
-5, -3, 4, 105463
Put -26, -0.2, -0.14, -4/3, -0.4 in decreasing order.
-0.14, -0.2, -0.4, -4/3, -26
Put -23, -1, 142, 0 in decreasing order.
142, 0, -1, -23
Sort -231, 49/4, -0.1 in decreasing order.
49/4, -0.1, -231
Sort -2, -3, -1923 in decreasing order.
-2, -3, -1923
Sort 3, -58, 0.27, -1/3.
-58, -1/3, 0.27, 3
Put -7, -4, 39 in decreasing order.
39, -4, -7
Put 7, 29, -4/3, -0.2, 21 in ascending order.
-4/3, -0.2, 7, 21, 29
Put -5, -106, 4, -2, 2, 3 in ascending order.
-106, -5, -2, 2, 3, 4
Sort -206, 2, 10 in decreasing order.
10, 2, -206
Put 2, -3, -1, -11, 5, -999 in decreasing order.
5, 2, -1, -3, -11, -999
Put -264, 0, 102 in increasing order.
-264, 0, 102
Put -681, -4, -5/3, -4/7, 0.023 in descending order.
0.023, -4/7, -5/3, -4, -681
Sort -3/7, -42/13, -4, -0.085 in descending order.
-0.085, -3/7, -42/13, -4
Sort 50, -5, -3, -65, 7 in increasing order.
-65, -5, -3, 7, 50
Sort 0, 3, 4, 2, -57, 15 in ascending order.
-57, 0, 2, 3, 4, 15
Sort 2/127, -6/11, -4 in decreasing order.
2/127, -6/11, -4
Sort 0, -132, -15, -13 in descending order.
0, -13, -15, -132
Put 2, 82/479, -1/3 in descending order.
2, 82/479, -1/3
Sort 58, -32, 2 in decreasing order.
58, 2, -32
Put 1, 263, -14, -3/5, 3/4 in descending order.
263, 1, 3/4, -3/5, -14
Put 59, 2, 1313 in increasing order.
2, 59, 1313
Put 2, 48, -18499 in decreasing order.
48, 2, -18499
Sort 1/2, -124, 0.2, -2/7, -0.12 in decreasing order.
1/2, 0.2, -0.12, -2/7, -124
Sort 4, -1, 645975, -2.
-2, -1, 4, 645975
Sort 11056, 2/3, 6 in descending order.
11056, 6, 2/3
Put -1, 7, 0, 1, 169 in ascending order.
-1, 0, 1, 7, 169
Sort 2665, -30, -9 in descending order.
2665, -9, -30
Sort 1, 0, 13, 4, 5 in descending order.
13, 5, 4, 1, 0
Put 0, 1, -76, 71 in decreasing order.
71, 1, 0, -76
Sort 3, -31, 304, 0 in descending order.
304, 3, 0, -31
Sort 118, 2, 3, -1, -2, 1 in ascending order.
-2, -1, 1, 2, 3, 118
Sort 2, 120, -2.1, -4/7, -2/41.
-2.1, -4/7, -2/41, 2, 120
Sort 1/7, 2/17, 0.4, -25, -4, 5.
-25, -4, 2/17, 1/7, 0.4, 5
Put -1, 5, -32, -4, -36, 3 in ascending order.
-36, -32, -4, -1, 3, 5
Sort 2, -6/19, -51, -2 in ascending order.
-51, -2, -6/19, 2
Sort 3, -5, -3, -2, -19, 6 in decreasing order.
6, 3, -2, -3, -5, -19
Sort -4.37, -1/5, 6/11, 0.1, 0.71 in descending order.
0.71, 6/11, 0.1, -1/5, -4.37
Sort 3, -22, 0, -663 in increasing order.
-663, -22, 0, 3
Put 4, -1, -4, 3, -443 in increasing order.
-443, -4, -1, 3, 4
Sort 2, -2, 4, -9, -118 in increasing order.
-118, -9, -2, 2, 4
Put -2, -1, 8, -2255 in ascending order.
-2255, -2, -1, 8
Sort 2/109, 2.158, 0.1 in descending order.
2.158, 0.1, 2/109
Put -5, 0.19, 0.0273, -0.03 in decreasing order.
0.19, 0.0273, -0.03, -5
Put -1/5, -0.07, 2/23, -1/42, 7 in increasing order.
-1/5, -0.07, -1/42, 2/23, 7
Sort -2, 4, 13, 1, -7, 11 in descending order.
13, 11, 4, 1, -2, -7
Sort -24, -12, -11.
-24, -12, -11
Sort 1, 3, 4, -510, -3 in descending order.
4, 3, 1, -3, -510
Sort 3, 7, 0, 10, 24, 2 in ascending order.
0, 2, 3, 7, 10, 24
Sort 2, 0.08, -7/6, 1, -10/13, -2 in decreasing order.
2, 1, 0.08, -10/13, -7/6, -2
Sort 5, 0.3, 2/9, 0.35, -2.
-2, 2/9, 0.3, 0.35, 5
Put 3/7, -2/3, -1, 1, 630 in descending order.
630, 1, 3/7, -2/3, -1
Put -30, -212.4, 3 in increasing order.
-212.4, -30, 3
Put -3, -175, 454 in decreasing order.
454, -3, -175
Put 450, 2, -12 in descending order.
450, 2, -12
Sort 9, 1, 19, -3, 16 in increasing order.
-3, 1, 9, 16, 19
Sort 4, -14, 50, -10 in increasing order.
-14, -10, 4, 50
Sort -0.1, 7, -1, -3/29 in ascending order.
-1, -3/29, -0.1, 7
Sort 1, 7, -173 in increasing order.
-173, 1, 7
Put 3, -0.2, 39, -196, 0.3 in decreasing order.
39, 3, 0.3, -0.2, -196
Put 21855, -21, 4 in ascending order.
-21, 4, 21855
Put -120, -5, 30240 in increasing order.
-120, -5, 30240
Sort 63, -3, 5428 in descending order.
5428, 63, -3
Put -4, 21, 146, 0.1, -5 in descending order.
146, 21, 0.1, -4, -5
Put 2/15, 9, 1192, 0.3, -8 in decreasing order.
1192, 9, 0.3, 2/15, -8
Sort -4, -2, -132, 19 in ascending order.
-132, -4, -2, 19
Sort -3, -226, 2, 0, -1, 5.
-226, -3, -1, 0, 2, 5
Sort 412, -1, 0, 1, 4 in decreasing order.
412, 4, 1, 0, -1
Sort -28, -19, 1, -5, 5, -9 in descending order.
5, 1, -5, -9, -19, -28
Put 0, 25, 130, -4 in decreasing order.
130, 25, 0, -4
Sort 136, -1, 6 in decreasing order.
136, 6, -1
Sort 0.003, -3/4, -3, -0.028, -1/2 in decreasing order.
0.003, -0.028, -1/2, -3/4, -3
Put -1, 6, -7, 44 in descending order.
44, 6, -1, -7
Put 7, 1, -2, -2669, -3 in descending order.
7, 1, -2, -3, -2669
Sort -2, 0, -83, -31, 5, -3 in increasing order.
-83, -31, -3, -2, 0, 5
Sort 55508, -1/6, 5, -0.2 in ascending order.
-0.2, -1/6, 5, 55508
Put 2, -10.1, -4, -0.7, -3/4 in ascending order.
-10.1, -4, -3/4, -0.7, 2
Put -1, 2, -455/2 in increasing order.
-455/2, -1, 2
Sort 7/5, 3/2, -5, -890, 0.2.
-890, -5, 0.2, 7/5, 3/2
Put 29, -6/5, -3/10 in increasing order.
-6/5, -3/10, 29
Put -2, -20266, 5, 4, -4 in descending order.
5, 4, -2, -4, -20266
Sort 3, -2/5, 0.1, -2978 in ascending order.
-2978, -2/5, 0.1, 3
Sort -1/3, -479, 0.5.
-479, -1/3, 0.5
Sort -10, 16, -5, 109, -4, 1 in increasing order.
-10, -5, -4, 1, 16, 109
Sort -1, 0, -3, -106, 7.
-106, -3, -1, 0, 7
Put 25134, 0.5, -0.1, 0, -0.4 in increasing order.
-0.4, -0.1, 0, 0.5, 25134
Sort -2, -1, -6, -8, -35, 4 in descending order.
4, -1, -2, -6, -8, -35
Put 6/17, 1, -4/7, -0.1928 in decreasing order.
1, 6/17, -0.1928, -4/7
Put 2.5, 2/175, -44 in increasing order.
-44, 2/175, 2.5
Sort 2, 3, -3, -132, -2 in descending order.
3, 2, -2, -3, -132
Sort -190, -4, 1, 64 in ascending order.
-190, -4, 1, 64
Put -2, 1/38553, 7, 4/5 in decreasing order.
7, 4/5, 1/38553, -2
Sort 3, 51, -5, 5, 15, 32 in ascending order.
-5, 3, 5, 15, 32, 51
Sort -344, 3, 2, 4, 5, 62 in descending order.
62, 5, 4, 3, 2, -344
Put 0, -60, 4, 87 in increasing order.
-60, 0, 4, 87
Put -0.4, 31, -748 in ascending order.
-748, -0.4, 31
Put -3, 0, 466, 1, -116, 3 in decreasing order.
466, 3, 1, 0, -3, -116
Sort 0.0986, -0.08, 1, -3/5, -2/5.
-3/5, -2/5, -0.08, 0.0986, 1
Sort -6, -3, 1, -110 in decreasing order.
1, -3, -6, -110
Sort 85, 4, 5, 3, -4.
-4, 3, 4, 5, 85
Sort 3, 84, 20, 1, 51 in descending order.
84, 51, 20, 3, 1
Sort -3, 4, -7, -2, 177.
-7, -3, -2, 4, 177
Put -3, -2, 82, 5, 4 in descending order.
82, 5, 4, -2, -3
Put 1/9, -15/4, 1.3525 in descending order.
1.3525, 1/9, -15/4
Sort -5, -1, -632, -9 in increasing order.
-632, -9, -5, -1
Put -3, -18, 5, 20, -6 in ascending order.
-18, -6, -3, 5, 20
Put 1/8, -6, 224/15, 4 in decreasing order.
224/15, 4, 1/8, -6
Sort 17, 0.5, -332, 3, 2 in decreasing order.
17, 3, 2, 0.5, -332
Sort -10, -4, 0, 121 in ascending order.
-10, -4, 0, 121
Sort -4, 8343, -5 in increasing order.
-5, -4, 8343
Sort -16, -4, 114, 2.
-16, -4, 2, 114
Sort -4, 12, -57, -2 in ascending order.
-57, -4, -2, 12
Put 6/5, 0.3, -870 in descending order.
6/5, 0.3, -870
Sort -0.4, 6, -2/11, -126/23.
-126/23, -0.4, -2/11, 6
Put -1/5, -3/13, 5/4, 7, -5, -3 in ascending order.
-5, -3, -3/13, -1/5, 5/4, 7
Sort 1, -1, -2, 5, -328 in decreasing order.
5, 1, -1, -2, -328
Sort 4, 5, -3, -7, -120 in increasing order.
-120, -7, -3, 4, 5
Sort -1551, -340, 1, -3.
-1551, -340, -3, 1
Sort -3/13, 0.3, 3, 1/5, 13 in decreasing order.
13, 3, 0.3, 1/5, -3/13
Sort -7, -5, -554, 0, 2, -10 in decreasing order.
2, 0, -5, -7, -10, -554
Put 1, 0.2, -85/7, -1/4, -223, 1/3 in increasing order.
-223, -85/7, -1/4, 0.2, 1/3, 1
Sort 3, 0.2, -6, -3, -0.4 in increasing order.
-6, -3, -0.4, 0.2, 3
Sort 0.4, -0.19, -837, -2 in increasing order.
-837
|
{
"pile_set_name": "DM Mathematics"
}
|
reasing order.
-1, -0.5, i
Let d = -7.4 - -9. Let c = d - 2. Put c, 0, 4 in descending order.
4, 0, c
Suppose -5 = -f, -5*f + 46 = -4*s + 9. Put -15, 1, s in descending order.
1, s, -15
Let o = 4.13 + -0.13. Let w = o - 8. Sort -3, -2/9, w in descending order.
-2/9, -3, w
Let s = 12 + -10. Let b = -0.9 + 1.4. Sort -2, s, b in decreasing order.
s, b, -2
Let x = -0.007 - -0.107. Sort 5, 1/3, -4/5, x in decreasing order.
5, 1/3, x, -4/5
Let d = 0.03 + -0.53. Let t = d + 0.42. Let f = t - -0.08. Put -2, -1/3, f in increasing order.
-2, -1/3, f
Let j be (18/7 + -3)/1. Put 2, j, 1/4 in decreasing order.
2, 1/4, j
Let w(r) = 2*r**2 + 20*r + 3. Let v be w(-10). Put -40, v, -1 in increasing order.
-40, -1, v
Suppose 3*k - 18 = 7*k + 2*u, -k = -5*u - 1. Let a be 0/(-2)*(-2)/(-4). Sort -5, a, k in ascending order.
-5, k, a
Let y = -11 - -13. Suppose 3*q - y = v, -v = q - 2*q. Sort -4, 4, q in ascending order.
-4, q, 4
Let h = -0.047 - 1.953. Suppose 0 = -0*k - 4*k + 12. Put k, h, 3/2 in decreasing order.
k, 3/2, h
Let v = 3 + -3.2. Let j(i) = -3*i**2 + 1. Let h be j(-1). Let n be h/5 - (-12)/80. Put n, v, -2 in descending order.
v, n, -2
Suppose -2*a = 3*v + 7, 5*v = -a - 2*a - 11. Let o = 5 + -4. Let x = o + 1. Put v, 1, x in descending order.
x, 1, v
Let a = -6.934 - -0.034. Let y = -8 + 15. Let f = a + y. Put -1, f, -2/9 in decreasing order.
f, -2/9, -1
Let t = -0.1 - -0.07. Let g = -1.97 + t. Put g, -5, 2 in descending order.
2, g, -5
Let a(q) be the second derivative of q**3/3 + 3*q**2/2 + q. Let i be a(-3). Let v = 6 - 10. Put -2/7, i, v in decreasing order.
-2/7, i, v
Suppose -4*p = t + 1, 5*t + 26 + 3 = 4*p. Sort -3, 6, t in ascending order.
t, -3, 6
Let y be 16/2 - (2 + 0). Let d = -11 + y. Sort -1, d, 5 in decreasing order.
5, -1, d
Let k = 6.4 - 0.4. Let b = 5.7 - k. Sort -1, b, -0.4.
-1, -0.4, b
Suppose 2*l + 8 + 0 = 0. Suppose 3*c = -f - 4, 2*f - 3*f - 4*c - 7 = 0. Put -1, f, l in descending order.
f, -1, l
Let f = -1 + 0.8. Sort f, -3, 3 in increasing order.
-3, f, 3
Let w = 0.4 + 0. Put 0, w, -2, 0.3 in ascending order.
-2, 0, 0.3, w
Let a(s) = s**2 + s. Let x be a(-2). Suppose 8 = x*p + 4. Sort 5, -3, p in ascending order.
-3, p, 5
Let z = -40 + 241/6. Put 5, z, 6, -5 in increasing order.
-5, z, 5, 6
Let n = 20 - 18. Suppose f = -4*j - 18, 5*j = f + 3*j - 6. Let v be f/(-4)*(-50)/5. Put v, 0, n in decreasing order.
n, 0, v
Suppose 0 = q - 0 - 1. Sort 18, -2, q in ascending order.
-2, q, 18
Let g be -1 - (0 + (2 - 3)). Let k be (-1)/(-26)*4 - g. Sort k, -2, -0.2 in descending order.
k, -0.2, -2
Let j = -0.02 - -3.02. Put j, -5, -4 in increasing order.
-5, -4, j
Let w = 32 + -32. Sort 4, 2, w in decreasing order.
4, 2, w
Let g = 2.1 + -0.6. Let q = g - 2. Put -1/6, -0.3, q in descending order.
-1/6, -0.3, q
Let q = -25 - -26. Sort -5, 2, q, 4 in increasing order.
-5, q, 2, 4
Let n = 0 - 0. Let j be ((-1)/2)/(39/48). Let w = 62/143 + j. Sort w, n, 3 in ascending order.
w, n, 3
Let x be (4/(-10))/((-6)/15). Let p = -3 + 3.5. Put p, x, -3/7 in decreasing order.
x, p, -3/7
Suppose 15 = 2*k - 3*v, -v - 2 - 3 = 0. Let j = -2 - k. Let z = -0.12 + 3.12. Put z, j, -2/7 in ascending order.
j, -2/7, z
Let k = 1 - 0. Suppose -2*j - 19 = -5*t - 4, 3*j - 4*t + 19 = 0. Put k, j, -1 in descending order.
k, -1, j
Suppose -5 = -2*f + 7*f. Let n = -8 - -11. Sort n, 0, f in decreasing order.
n, 0, f
Suppose -8 = -d - d. Let f(i) = -i**3 + 5*i**2 + 6*i - 5. Let v be f(6). Sort v, d, 3 in ascending order.
v, 3, d
Let q(d) = d**2 - 2*d - 3. Let y be q(-2). Suppose 3*m + 8 = 2*s - m, 0 = -5*m - 20. Put 3, s, y in descending order.
y, 3, s
Let s = -0.28 - -4.28. Sort s, -5, 1 in ascending order.
-5, 1, s
Let a = -3 - -3. Let p = a + 1. Let o be (-1)/2*p*8. Put -3, 1, o in increasing order.
o, -3, 1
Let z = -1/74 + -35/148. Put 4, -3/2, z in ascending order.
-3/2, z, 4
Suppose -a = 2*q - 0*q - 3, q = 0. Suppose -2*b - 2 = -4*l, -4*b = -a*l - 2*b + 1. Put l, -3, 2 in descending order.
2, l, -3
Suppose -17 = -5*y + k + 7, -2*y - k = -4. Suppose -2*u = 2*j - 10, 5 = 3*u - 2*u + 5*j. Sort u, -4, y in descending order.
u, y, -4
Let b = -9 - -11. Let w = 3 - b. Let d be (1/(-4))/((-6)/(-32)). Sort w, d, 0.
d, 0, w
Let m = -25 - -25. Sort -1, 1, m in decreasing order.
1, m, -1
Suppose 0 = -f + 14 - 9. Suppose -f*m = 16 - 1. Suppose y = 2*x + 5, -6 = -x + 5*x + 2*y. Put m, x, 1 in decreasing order.
1, x, m
Suppose -4*c + 20 = 5*f, 3*c = -2*f - 4 + 12. Suppose -q + 2 = 4*z - c, -2*z - 2 = 2*q. Let r be 0*q/(2 + -4). Sort 5, r, -4 in increasing order.
-4, r, 5
Let k(h) = h + 4. Let r be k(0). Put -1, 1, r in increasing order.
-1, 1, r
Let t be (-90)/(-4) - (-5)/5. Let i = t - 28. Let w = i + 49/10. Sort w, 0, 5 in decreasing order.
5, w, 0
Let y be 2/(-5) + 81/15. Sort -5, -3, y.
-5, -3, y
Suppose 3*o = -2*o + 10. Suppose -3*q + 4 = 2*x, 0 = -5*q - 4*x - o + 6. Sort q, -3, -5 in decreasing order.
q, -3, -5
Suppose 4*o + 12 = i, -5*i + 3 = 4*o - 9. Suppose 5*g - 24 = -4*w + 5, -21 = 4*w - 5*g. Sort i, w, 3 in ascending order.
w, 3, i
Let t be (-175)/(-220) - (39/12 + -3). Sort 1, t, 11 in decreasing order.
11, 1, t
Suppose 4*h + 3*t = 15, -2*t + 8 + 2 = h. Sort -3, 6, h.
-3, h, 6
Let d = 12 - 8. Suppose 0 = -y - 4, -2*t + 0*y = 4*y + 20. Sort -1, d, t in decreasing order.
d, -1, t
Let v = 6.6 - 7. Let n = 1.8 - 2. Let a(f) = -f**3 + 4*f**2 + 4*f + 3. Let h be a(5). Put n, v, h in descending order.
n, v, h
Let i = -1821/16 + 114. Let y = 27/16 - i. Let p be 2*2 - (2 + 0). Sort p, y, 5 in ascending order.
y, p, 5
Let b be ((-7)/(-112))/(1/(-2)). Put 1, -0.5, b in ascending order.
-0.5, b, 1
Let z = 7 + -9. Sort 0.1, z, -1/9.
z, -1/9, 0.1
Suppose 0 = -y + 2 - 7. Let i = 8 + y. Sort i, -5, 2.
-5, 2, i
Let m(i) = -3*i - 4 - i + i - 3. Let k be m(-3). Let s = 8 + -11. Put 1, s, k in descending order.
k, 1, s
Let y(v) = v**2 + 4*v - 3. Let h be y(-4). Let s = -3 + 4.1. Let l = 1 - s. Put -0.5, l, h in increasing order.
h, -0.5, l
Let i be 18/4*(5 + -7). Let u = -7 - i. Suppose 0 = k - u + 1. Put -3, k, 0 in decreasing order.
k, 0, -3
Let l be (-3 - -1) + (-264)/(-143). Put 2, 0.5, l in descending order.
2, 0.5, l
Let g = -4.96 - 0.04. Let x = -263/3 + 89. Sort g, x, 5 in ascending order.
g, x, 5
Suppose -2*j = -6*j - 4. Put 1, j, -12 in descending order.
1, j, -12
Let c(h) be the second derivative of -h**5/20 - h**4/3 - h**3/2 - h**2/2 - h. Let d be c(-2). Let b be (2/(-3))/((-17)/d). Sort 5, -4, b in increasing order.
-4, b, 5
Let u = -3 + 2.6. Put u, -1, 2, 1 in increasing order.
-1, u, 1, 2
Let g be (-86)/(-2) - (0 - 3). Let n = g - 692/15. Sort 4, 1/5, n in decreasing order.
4, 1/5, n
Let g be (-2)/9 - 584/(-36). Let h(s) = -s**2 + 17*s - 20. Let k be h(g). Put k, 5, 7 in descending order.
7, 5, k
Let c be (-8)/12 + (1 - -3)/24. Put 1/5, c, -1/3 in decreasing order.
1/5, -1/3, c
Suppose 8 = 4*w + 2*t, w + 4*t - 5 + 3 = 0. Let f be 21/(-36) - w/(-6). Sort -2/5, f, -1/3 in descending order.
f, -1/3, -2/5
Suppose 3*y = 7*y + 20. Let f = 3 + -6. Sort f, y, -2/15.
y, f, -2/15
Let m = 13 - 24. Let z = 7 + m. Put 2, 1, z in decreasing order.
2, 1, z
Let x = 0.09 + -0.09. Sort -0.4, x, 1/2 in decreasing order.
1/2, x, -0.4
Let i(f) = -f + 3. Let b be i(-3). Let k(j) = -j**2 + 6*j + 4. Let p be k(b). Put -3/2, -1, p in ascending order.
-3/2, -1, p
Let a be 4 + -7 + 39/15. Sort 1/6, a, -0.1 in descending order.
1/6, -0.1, a
Let y = -6 + 6.05. Let i = 3.05 - y. Sort -5, 1/2, i.
-5, 1/2, i
Let v = 6 - 6. Suppose l + l - 8 = v. Suppose -6*d = -l*d - 8. Sort d, 0, 2 in increasing order.
0, 2, d
Let z be (3 + -1)*-2*5/150. Put 2/7, z, 5, -3 in decreasing order.
5, 2/7, z, -3
Let t(q) = 9*q - 14. Let c be t(6). Suppose -4*b - 3*o - o = c, 10 = 2*b - 4*o. Suppose 5*i + 0*i = 15. Put b, i, -4 in decreasing order.
i, -4, b
Suppose 1 = -o + 2. Sort 2, 3, o in descending order.
3, 2, o
Suppose -2*j + 23 = 5*u, -j = 2*j - 12. Suppose -1 = -3*q - a, -u*a - 16 = -q + 1. Sort 0.5, -3/8, q in ascending order.
-3/8, 0.5, q
Suppose -4*o = o. Suppose -8 = 4*g, x + 2*x - 4*g - 2 = o. Sort x, -4, 2 in decreasing order.
2, x, -4
Let v = 9.1 - 5.1. Put 1/5, 7, 0.5, v in descending order.
7, v, 0.5, 1/5
Let b = -2.01 + 0.31. Let o = b - -2.2. Sort o, -1/4, 4 in ascending order.
-1/4, o, 4
Let d = 11 - 14. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
e prime factors of 383.
383
What are the prime factors of 134?
2, 67
List the prime factors of 62.
2, 31
What are the prime factors of 44160?
2, 3, 5, 23
List the prime factors of 14236.
2, 3559
List the prime factors of 56927.
13, 29, 151
List the prime factors of 2028.
2, 3, 13
What are the prime factors of 9921?
3, 3307
What are the prime factors of 63534?
2, 3, 10589
What are the prime factors of 364?
2, 7, 13
What are the prime factors of 3137?
3137
List the prime factors of 444.
2, 3, 37
List the prime factors of 2062.
2, 1031
List the prime factors of 48742.
2, 24371
What are the prime factors of 37630?
2, 5, 53, 71
What are the prime factors of 9475?
5, 379
List the prime factors of 2122.
2, 1061
List the prime factors of 4342.
2, 13, 167
List the prime factors of 52131.
3, 17377
What are the prime factors of 5115?
3, 5, 11, 31
List the prime factors of 1777.
1777
List the prime factors of 7136.
2, 223
What are the prime factors of 2594?
2, 1297
List the prime factors of 476.
2, 7, 17
List the prime factors of 997.
997
What are the prime factors of 5053?
31, 163
What are the prime factors of 4321?
29, 149
List the prime factors of 328.
2, 41
List the prime factors of 9290.
2, 5, 929
List the prime factors of 45117.
3, 557
List the prime factors of 63645.
3, 5, 4243
What are the prime factors of 14863?
89, 167
What are the prime factors of 133171?
19, 43, 163
What are the prime factors of 45289?
45289
List the prime factors of 3406.
2, 13, 131
What are the prime factors of 1941?
3, 647
What are the prime factors of 68920?
2, 5, 1723
List the prime factors of 3735.
3, 5, 83
What are the prime factors of 783?
3, 29
What are the prime factors of 10713?
3, 3571
What are the prime factors of 32009?
32009
List the prime factors of 85027.
85027
What are the prime factors of 395?
5, 79
What are the prime factors of 37617?
3, 12539
List the prime factors of 83603.
13, 59, 109
What are the prime factors of 56826?
2, 3, 7, 11, 41
What are the prime factors of 4806?
2, 3, 89
List the prime factors of 8792.
2, 7, 157
What are the prime factors of 745?
5, 149
What are the prime factors of 304?
2, 19
List the prime factors of 1358.
2, 7, 97
List the prime factors of 15045.
3, 5, 17, 59
What are the prime factors of 1411?
17, 83
List the prime factors of 2891.
7, 59
List the prime factors of 22497.
3, 7499
List the prime factors of 1401.
3, 467
What are the prime factors of 2671?
2671
List the prime factors of 8915.
5, 1783
What are the prime factors of 571?
571
What are the prime factors of 158980?
2, 5, 7949
What are the prime factors of 4051?
4051
What are the prime factors of 235?
5, 47
List the prime factors of 2426.
2, 1213
What are the prime factors of 478?
2, 239
What are the prime factors of 10821?
3, 3607
List the prime factors of 25845.
3, 5, 1723
What are the prime factors of 984?
2, 3, 41
What are the prime factors of 35532?
2, 3, 7, 47
List the prime factors of 3072.
2, 3
List the prime factors of 46457.
46457
What are the prime factors of 8586?
2, 3, 53
List the prime factors of 4028.
2, 19, 53
List the prime factors of 27385.
5, 5477
What are the prime factors of 2741?
2741
List the prime factors of 25469.
25469
What are the prime factors of 1962?
2, 3, 109
What are the prime factors of 128077?
211, 607
What are the prime factors of 67010?
2, 5, 6701
What are the prime factors of 110745?
3, 5, 23, 107
List the prime factors of 36265.
5, 7253
What are the prime factors of 107213?
29, 3697
List the prime factors of 36363.
3, 17, 23, 31
List the prime factors of 52924.
2, 101, 131
What are the prime factors of 92994?
2, 3, 11, 1409
List the prime factors of 546.
2, 3, 7, 13
List the prime factors of 56024.
2, 47, 149
What are the prime factors of 124478?
2, 109, 571
What are the prime factors of 85996?
2, 21499
What are the prime factors of 19267?
19267
What are the prime factors of 1425?
3, 5, 19
List the prime factors of 89603.
89603
What are the prime factors of 3314?
2, 1657
List the prime factors of 82390.
2, 5, 7, 11, 107
List the prime factors of 838.
2, 419
List the prime factors of 2247.
3, 7, 107
What are the prime factors of 10472?
2, 7, 11, 17
What are the prime factors of 2?
2
What are the prime factors of 2766?
2, 3, 461
What are the prime factors of 7229?
7229
List the prime factors of 73076.
2, 18269
List the prime factors of 11722.
2, 5861
What are the prime factors of 27608?
2, 7, 17, 29
List the prime factors of 9512.
2, 29, 41
What are the prime factors of 1062?
2, 3, 59
List the prime factors of 43575.
3, 5, 7, 83
List the prime factors of 1074.
2, 3, 179
What are the prime factors of 8718?
2, 3, 1453
List the prime factors of 4419.
3, 491
What are the prime factors of 140721?
3, 7, 6701
What are the prime factors of 6503?
7, 929
List the prime factors of 56419.
11, 23, 223
List the prime factors of 1364.
2, 11, 31
List the prime factors of 8667.
3, 107
What are the prime factors of 122666?
2, 61333
What are the prime factors of 372?
2, 3, 31
List the prime factors of 21484.
2, 41, 131
List the prime factors of 72625.
5, 7, 83
List the prime factors of 2458.
2, 1229
What are the prime factors of 867?
3, 17
List the prime factors of 1061.
1061
List the prime factors of 2950.
2, 5, 59
List the prime factors of 32494.
2, 7, 11, 211
List the prime factors of 2021.
43, 47
List the prime factors of 51076.
2, 113
List the prime factors of 1239.
3, 7, 59
List the prime factors of 639.
3, 71
List the prime factors of 726.
2, 3, 11
What are the prime factors of 822?
2, 3, 137
List the prime factors of 6512.
2, 11, 37
What are the prime factors of 29850?
2, 3, 5, 199
What are the prime factors of 1210?
2, 5, 11
What are the prime factors of 708?
2, 3, 59
What are the prime factors of 1983?
3, 661
List the prime factors of 2489.
19, 131
List the prime factors of 2456.
2, 307
What are the prime factors of 1285?
5, 257
List the prime factors of 982.
2, 491
What are the prime factors of 12059?
31, 389
List the prime factors of 7345.
5, 13, 113
What are the prime factors of 8860?
2, 5, 443
List the prime factors of 5756.
2, 1439
List the prime factors of 103992.
2, 3, 7, 619
What are the prime factors of 16538?
2, 8269
List the prime factors of 30218.
2, 29, 521
List the prime factors of 125333.
13, 31, 311
List the prime factors of 153.
3, 17
What are the prime factors of 9363?
3, 3121
List the prime factors of 10830.
2, 3, 5, 19
List the prime factors of 91307.
17, 41, 131
What are the prime factors of 11949?
3, 7, 569
List the prime factors of 3096.
2, 3, 43
What are the prime factors of 21762?
2, 3, 13, 31
List the prime factors of 316.
2, 79
What are the prime factors of 1037?
17, 61
What are the prime factors of 163064?
2, 11, 17, 109
List the prime factors of 2168.
2, 271
List the prime factors of 6532.
2, 23, 71
List the prime factors of 48922.
2, 61, 401
List the prime factors of 18697.
7, 2671
What are the prime factors of 26665?
5, 5333
What are the prime factors of 169?
13
List the prime factors of 110758.
2, 79, 701
What are the prime factors of 39325?
5, 11, 13
List the prime factors of 1105.
5, 13, 17
What are the prime factors of 485?
5, 97
What are the prime factors of 61279?
233, 263
What are the prime factors of 7914?
2, 3, 1319
What are the prime factors of 2319?
3, 773
What are the prime factors of 14094?
2, 3, 29
List the prime factors of 6528.
2, 3, 17
What are the prime factors of 3392?
2, 53
List the prime factors of 13217.
13217
List the prime factors of 3703.
7, 23
What are the prime factors of 1814?
2, 907
List the prime factors of 10167.
3, 3389
What are the prime factors of 3432?
2, 3, 11, 13
What are the prime factors of 1048?
2, 131
What are the prime factors of 5311?
47, 113
List the prime factors of 23255.
5, 4651
List the prime factors of 39655.
5, 7, 11, 103
What are the prime factors of 1957?
19, 103
List the prime factors of 10871.
7, 1553
What are the prime factors of 607?
607
What are the prime factors of 322?
2, 7, 23
What are the prime factors of 279?
3, 31
What are the prime factors of 4453?
61, 73
What are the prime factors of 52352?
2, 409
What are the prime factors of 8321?
53, 157
What are the prime factors of 1324?
2, 331
List the prime factors of 309.
3, 103
List the prime factors
|
{
"pile_set_name": "DM Mathematics"
}
|
f 87?
True
Does 9 divide 1613?
False
Does 14 divide 673?
False
Is 292 a multiple of 16?
False
Is 46956 a multiple of 52?
True
Is 1556 a multiple of 15?
False
Is 321 a factor of 79364?
False
Does 215 divide 16555?
True
Does 15 divide 4845?
True
Is 10 a factor of 379?
False
Is 10 a factor of 3880?
True
Does 11 divide 451?
True
Is 1584 a multiple of 11?
True
Is 30 a factor of 9964?
False
Is 513 a multiple of 19?
True
Does 2 divide 1118?
True
Is 17 a factor of 6545?
True
Is 630 a multiple of 10?
True
Is 2 a factor of 194?
True
Is 34 a factor of 267?
False
Is 555 a multiple of 15?
True
Is 10720 a multiple of 8?
True
Does 3 divide 346?
False
Is 31 a factor of 15593?
True
Is 8 a factor of 13456?
True
Is 214 a multiple of 24?
False
Is 36 a factor of 49248?
True
Is 221 a multiple of 15?
False
Is 1836 a multiple of 18?
True
Does 194 divide 37442?
True
Is 20 a factor of 73360?
True
Does 12 divide 156?
True
Is 42 a factor of 882?
True
Does 73 divide 1079?
False
Is 26271 a multiple of 139?
True
Does 105 divide 2625?
True
Is 57 a factor of 2052?
True
Is 1370 a multiple of 20?
False
Does 15 divide 2324?
False
Is 3 a factor of 539?
False
Does 5 divide 5796?
False
Does 23 divide 286?
False
Is 28014 a multiple of 28?
False
Does 185 divide 310?
False
Is 190 a multiple of 19?
True
Does 5 divide 12775?
True
Does 9 divide 5841?
True
Does 7 divide 511?
True
Is 14 a factor of 42?
True
Is 49 a factor of 1421?
True
Is 819 a multiple of 13?
True
Is 7 a factor of 80?
False
Is 60 a multiple of 6?
True
Is 3 a factor of 1045?
False
Is 21 a factor of 189?
True
Does 10 divide 1059?
False
Is 4224 a multiple of 33?
True
Is 2968 a multiple of 28?
True
Does 20 divide 720?
True
Is 9 a factor of 45347?
False
Is 24 a factor of 216?
True
Is 12 a factor of 78?
False
Does 17 divide 9129?
True
Is 1723 a multiple of 12?
False
Is 9122 a multiple of 11?
False
Does 23 divide 2251?
False
Is 110 a factor of 10120?
True
Is 26912 a multiple of 16?
True
Is 475 a multiple of 7?
False
Is 3277 a multiple of 6?
False
Is 29 a factor of 2365?
False
Is 1966 a multiple of 37?
False
Does 203 divide 110229?
True
Is 39 a factor of 5254?
False
Is 60 a multiple of 15?
True
Is 28 a factor of 4222?
False
Is 5 a factor of 445?
True
Does 9 divide 1890?
True
Is 73 a factor of 3358?
True
Is 4382 a multiple of 36?
False
Is 115 a factor of 82562?
False
Is 16175 a multiple of 143?
False
Does 15 divide 6257?
False
Is 1178 a multiple of 19?
True
Is 1447 a multiple of 20?
False
Does 17 divide 7411?
False
Is 44 a factor of 23499?
False
Does 13 divide 312?
True
Does 23 divide 299?
True
Is 2145 a multiple of 33?
True
Does 9 divide 933?
False
Is 226 a factor of 32544?
True
Is 122 a factor of 1056?
False
Is 45694 a multiple of 28?
False
Is 1131 a multiple of 29?
True
Does 16 divide 20768?
True
Does 33 divide 1452?
True
Does 9 divide 8704?
False
Is 37 a factor of 233?
False
Is 186 a factor of 3240?
False
Is 205 a factor of 8815?
True
Is 13 a factor of 2135?
False
Does 23 divide 722?
False
Is 10416 a multiple of 14?
True
Is 61 a factor of 1037?
True
Is 47 a factor of 3149?
True
Is 3083 a multiple of 6?
False
Is 15 a factor of 85?
False
Is 925 a multiple of 5?
True
Is 11 a factor of 24992?
True
Does 151 divide 3926?
True
Is 8538 a multiple of 12?
False
Is 109 a factor of 327?
True
Is 96868 a multiple of 98?
False
Does 4 divide 277?
False
Is 4147 a multiple of 46?
False
Is 240 a multiple of 20?
True
Does 62 divide 1240?
True
Is 33232 a multiple of 62?
True
Is 117 a factor of 15944?
False
Is 4727 a multiple of 163?
True
Is 245 a multiple of 23?
False
Does 163 divide 12378?
False
Does 28 divide 1039?
False
Is 122 a multiple of 61?
True
Is 2 a factor of 69?
False
Is 21900 a multiple of 82?
False
Is 13 a factor of 9392?
False
Does 14 divide 1414?
True
Is 36 a factor of 241?
False
Does 21 divide 168?
True
Is 3452 a multiple of 16?
False
Does 55 divide 2915?
True
Is 150 a factor of 51600?
True
Is 9213 a multiple of 111?
True
Is 9438 a multiple of 6?
True
Does 25 divide 21693?
False
Is 4 a factor of 23?
False
Is 28 a factor of 322?
False
Is 62933 a multiple of 22?
False
Is 1629 a multiple of 9?
True
Is 28359 a multiple of 49?
False
Is 41088 a multiple of 22?
False
Is 131 a factor of 11921?
True
Is 34 a factor of 37873?
False
Does 94 divide 61946?
True
Is 2245 a multiple of 79?
False
Is 533 a multiple of 36?
False
Is 630 a multiple of 6?
True
Is 47 a multiple of 47?
True
Does 285 divide 47863?
False
Is 153 a factor of 2156?
False
Is 7924 a multiple of 28?
True
Does 17 divide 1717?
True
Is 24 a factor of 17328?
True
Is 54 a factor of 39528?
True
Is 53 a factor of 2086?
False
Does 10 divide 14950?
True
Is 2322 a multiple of 18?
True
Is 1480 a multiple of 74?
True
Is 2789 even?
False
Does 15 divide 396?
False
Is 39 a factor of 6786?
True
Does 47 divide 611?
True
Is 4 a factor of 1275?
False
Does 9 divide 5696?
False
Does 42 divide 420?
True
Is 22 a factor of 3410?
True
Is 23 a factor of 4836?
False
Does 119 divide 2261?
True
Is 1190 a multiple of 10?
True
Is 2340 a multiple of 234?
True
Is 26 a factor of 5491?
False
Is 11113 a multiple of 3?
False
Is 704 a multiple of 11?
True
Is 264 a factor of 31152?
True
Is 32 a factor of 15232?
True
Is 5389 a multiple of 12?
False
Is 47 a factor of 36620?
False
Does 6 divide 1522?
False
Is 28 a factor of 2352?
True
Is 30 a factor of 13985?
False
Is 14 a factor of 28?
True
Does 34 divide 782?
True
Is 75 a factor of 1287?
False
Does 18 divide 1116?
True
Does 13 divide 19241?
False
Does 12 divide 59352?
True
Is 20 a factor of 2640?
True
Is 84 a factor of 15960?
True
Does 16 divide 624?
True
Is 48 a factor of 17760?
True
Is 12 a factor of 4536?
True
Does 13 divide 15418?
True
Is 14 a factor of 16044?
True
Does 221 divide 397?
False
Is 5976 a multiple of 27?
False
Does 278 divide 56010?
False
Is 773 a multiple of 2?
False
Does 187 divide 694?
False
Does 71 divide 923?
True
Is 37 a factor of 2103?
False
Is 15665 a multiple of 6?
False
Is 16 a factor of 139?
False
Is 34 a factor of 7772?
False
Does 214 divide 44084?
True
Is 32370 a multiple of 13?
True
Is 7427 a multiple of 8?
False
Does 2 divide 366?
True
Does 23 divide 3473?
True
Is 40 a factor of 2251?
False
Is 24 a factor of 7440?
True
Does 50 divide 10062?
False
Does 42 divide 1176?
True
Is 10 a factor of 315?
False
Does 8 divide 422?
False
Is 25220 a multiple of 97?
True
Is 14 a factor of 1414?
True
Does 2 divide 10750?
True
Is 51 a factor of 5355?
True
Is 1360 a multiple of 17?
True
Is 217 a factor of 10633?
True
Does 4 divide 645?
False
Is 7128 a multiple of 198?
True
Is 90 a factor of 2596?
False
Is 15369 a multiple of 204?
False
Is 56 a multiple of 8?
True
Is 15 a factor of 2761?
False
Is 9 a multiple of 3?
True
Does 28 divide 135?
False
Is 663 a multiple of 39?
True
Does 5 divide 13918?
False
Is 48 a factor of 864?
True
Is 884 a multiple of 11?
False
Is 6 a factor of 636?
True
Is 37 a factor of 72779?
True
Does 123 divide 738?
True
Is 34067 a multiple of 11?
True
Is 19406 a multiple of 39?
False
Is 226 a factor of 9492?
True
Is 2 a factor of 38?
True
Is 41 a factor of 13739?
False
Does 44 divide 9020?
True
Does 50 divide 4500?
True
Does 80 divide 55444?
False
Is 2 a factor of 4579?
False
Is 51 a factor of 3927?
True
Is 78 a factor of 2375?
False
Is 475 a multiple of 5?
True
Is 17 a factor of 2700?
False
Is 31 a factor of 12877?
False
Does 30 divide 510?
True
Is 525 a multiple of 14?
False
Is 873 a multiple of 97?
True
Is 4070 a multiple of 55?
True
Is 9459 a multiple of 18?
False
Does 6 divide 120?
True
Is 1425 a multiple of 15?
True
Does 6 divide 460?
False
Is 4326 a multiple of 83?
False
Is 31 a factor of 19158?
True
Is 11070 a multiple of 41?
True
Is 3 a factor of 289?
False
Is 113 a factor of 44635?
True
Is 62 a factor of 16966?
False
Is 792 a multiple of 18?
True
Does 19 divide 6217?
False
Is 6357 a multiple of 163?
True
Is 53 a factor of 742?
True
Is 20 a factor of 1014?
False
Is 46552 a multiple of 11?
True
Is 293 a multiple of 24?
False
Does 18 divide 1156?
False
Is 5 a factor of 7564?
False
Is 46 a factor of 430?
False
Is 82 a factor of 2050?
True
Is 5725 a multiple of 10?
False
Is 47 a factor of 8629?
False
Is 19 a factor of 2520?
False
Is 150 a factor of 32850?
True
Does 3 divide 59?
False
Is 7 a factor of 518?
True
Does 8 divide 17
|
{
"pile_set_name": "DM Mathematics"
}
|
5 - r*q**4 - 2/15*q**3. Let v(a) = 0. Calculate a.
-1, 1
Let i(a) = -3*a - 17*a + 16*a**4 + 311 - 299 - 12*a**3 - 12*a**2. Let f(s) = s**4 - s**3 - s + 1. Let j(w) = 12*f(w) - i(w). Factor j(d).
-4*d*(d - 2)*(d + 1)**2
Let i(z) be the third derivative of 1/240*z**5 + 3*z**2 - 1/480*z**6 + 0 + 0*z + 1/8*z**3 + 5/96*z**4. Find v, given that i(v) = 0.
-1, 3
Let m be (((-18)/45)/(-1))/(12/10). Let u(i) be the first derivative of 3/2*i**2 - 2 - m*i**3 + 0*i. Find q, given that u(q) = 0.
0, 3
Let x(m) = -2*m**3 - 146*m**2 + 68*m**2 + 62*m**2 + 13*m - 20*m**3. Let w(y) = 15*y**3 + 11*y**2 - 9*y. Let n(l) = 7*w(l) + 5*x(l). Solve n(h) = 0 for h.
-1, 0, 2/5
Let i(x) be the third derivative of 0*x + 1/300*x**6 + 0 + 5*x**2 - 1/25*x**5 - 8/15*x**3 + 1/5*x**4. Factor i(v).
2*(v - 2)**3/5
Let c(j) be the third derivative of j**7/200 + 23*j**6/600 + j**5/10 + j**4/10 - j**3/3 + 37*j**2. Let d(m) be the first derivative of c(m). Factor d(p).
3*(p + 1)*(p + 2)*(7*p + 2)/5
Let j(l) be the second derivative of 7*l**6 - 10*l**5 + 40*l**3 - 20*l**4 + 0 - 15/14*l**7 + 80*l**2 - 11*l. Determine t so that j(t) = 0.
-2/3, 2
Suppose 3*k = -4*s + 15, 0 = -0*s - 3*s + k - 5. Let y be (2 + -7)/(-5)*s. Factor -4/3*w + y - 22/3*w**2 - 32/3*w**3 - 14/3*w**4.
-2*w*(w + 1)**2*(7*w + 2)/3
Let d(p) be the second derivative of -p**5/20 + 7*p**4/12 - 5*p**3/2 + 9*p**2/2 + 3*p + 31. Solve d(y) = 0 for y.
1, 3
Suppose -3*q = 2*q + 10. Let h be 96/(-51) + q/(-1). Factor 0*b + 2/17 - h*b**2.
-2*(b - 1)*(b + 1)/17
Let q be (-25)/20*(-63)/15 + -5. Let r(j) be the first derivative of 12 + q*j**2 + 1/10*j**5 + 0*j + 3/8*j**4 + 1/2*j**3. Factor r(b).
b*(b + 1)**3/2
Suppose -15*j + 102/7 + 3/7*j**2 = 0. What is j?
1, 34
Let m = 1897401/773570 + -11/2570. Let i = -50/43 + m. Factor i - 12/7*b + 3/7*b**2.
3*(b - 3)*(b - 1)/7
Factor 103*j**2 + 29 + 4*j**3 + 111*j + 25 - 43*j**2 - j**3.
3*(j + 1)**2*(j + 18)
Let b(u) = -u**4 - u**3 + u - 1. Let k(h) = -7*h**4 + 8*h**3 + 12*h**2 - 44*h - 4. Let j(p) = 4*b(p) - k(p). Determine y, given that j(y) = 0.
-2, 0, 2, 4
Suppose 8*l - 4 = 7*l. Find v, given that 16*v**l - 9*v**4 - 24*v**3 + 18*v**4 - 20*v**2 - 16*v**3 = 0.
-2/5, 0, 2
Let h(j) be the first derivative of 2*j**5/5 + j**4/2 - 4*j**3/3 - 206. Factor h(o).
2*o**2*(o - 1)*(o + 2)
Let a(c) be the first derivative of c**6/960 - c**5/160 + c**4/64 - c**3/48 + 6*c**2 - 1. Let m(k) be the second derivative of a(k). Factor m(x).
(x - 1)**3/8
Let b be (-2)/(-6) + 1256/8112. Let r = 2/169 + b. Suppose -1/4*h**4 - r - 5/4*h**3 - 9/4*h**2 - 7/4*h = 0. Calculate h.
-2, -1
Factor i**3 + 2*i**3 + 556*i**2 - 565*i**2 - 12*i.
3*i*(i - 4)*(i + 1)
Let f(z) be the third derivative of z**8/84 - 61*z**7/210 + z**6/8 - 28*z**2 - 2. Let f(c) = 0. Calculate c.
0, 1/4, 15
Factor 8/7 - 6/7*p**2 + 0*p - 2/7*p**3.
-2*(p - 1)*(p + 2)**2/7
Let f(b) be the second derivative of b**8/33600 - b**7/2520 + b**6/450 - b**5/150 - 7*b**4/3 + 3*b. Let x(j) be the third derivative of f(j). Factor x(m).
(m - 2)**2*(m - 1)/5
Let t(l) be the third derivative of l**5/300 - l**4/15 + 7*l**3/30 - 336*l**2. Factor t(f).
(f - 7)*(f - 1)/5
Factor -93/5*v + 96/5*v**2 - 3/5*v**3 + 0.
-3*v*(v - 31)*(v - 1)/5
Suppose 74 = 3*c - 52. Let p = 44 - c. Factor 0 - 8/9*s - 2/9*s**3 + 8/9*s**p.
-2*s*(s - 2)**2/9
Let t be (-30)/75 + 2 + 24/(-15). Suppose 0*u - u - 2*b = -8, t = -u + 5*b - 13. Find d such that 0*d + 0 + 3/8*d**3 - 3/8*d**u = 0.
0, 1
Suppose 0 = -5*g - 5*g + 30. Let s(i) be the first derivative of 0*i + 9/4*i**4 + 11 + 3/2*i**2 - 3*i**g - 3/5*i**5. Suppose s(l) = 0. What is l?
0, 1
Let h be ((-6)/(-2))/((-1)/3). Let q = 12 + h. Find f such that -9*f + f**3 - 4*f**3 + 4*f**2 - 13*f**2 - q = 0.
-1
Suppose 10 = 519*i - 514*i. Let g(k) be the first derivative of -3*k**4 - 6*k - 1/2*k**6 - i*k**3 + 12/5*k**5 - 7 + 15/2*k**2. Factor g(d).
-3*(d - 2)*(d - 1)**3*(d + 1)
Suppose 0 = 2*k + 9 - 17. Let -6*z + 0*z - 3*z**2 + 6 - k - 5 = 0. What is z?
-1
Let x(k) be the third derivative of -7/390*k**5 - 1/780*k**6 - 5/52*k**4 + 0 - 31*k**2 + 0*k - 3/13*k**3. Factor x(n).
-2*(n + 1)*(n + 3)**2/13
Let m = 319 - 956/3. Factor -m*z**2 + z - 2/3.
-(z - 2)*(z - 1)/3
Determine y, given that 59*y**2 + 60*y**2 + 61*y**2 - 181*y**2 - 49 - 14*y = 0.
-7
Let k(u) be the third derivative of 0*u + 1/120*u**6 - 1/60*u**5 + 14*u**2 + 0 + 0*u**4 + 0*u**3. Factor k(x).
x**2*(x - 1)
Let p = -12877 - -141745/11. Suppose -26/11*r**3 + 0 + 70/11*r**2 + p*r + 2/11*r**4 = 0. Calculate r.
-1, 0, 7
Let b(o) be the first derivative of -12 + 5/2*o**2 + 10/9*o**3 - 5/12*o**4 + 0*o. Determine j so that b(j) = 0.
-1, 0, 3
Let w(g) be the second derivative of -g**6/15 - 11*g**5/5 - 169*g**4/6 - 176*g**3 - 576*g**2 - 76*g + 2. Factor w(s).
-2*(s + 3)**2*(s + 8)**2
Let c = 27610 - 27610. Let -4/7*x**3 + 0*x**2 - 6/7*x**4 - 2/7*x**5 + c*x + 0 = 0. What is x?
-2, -1, 0
Let f(r) be the third derivative of r**7/2940 + r**6/420 + r**5/140 + r**4/84 + 3*r**3/2 - 7*r**2. Let h(u) be the first derivative of f(u). Factor h(v).
2*(v + 1)**3/7
Suppose -25 = d - 10. Let w be (-30)/(-9)*(-12)/d. What is o in 0*o**2 + w*o - 4/3*o**4 + 4/3 - 8/3*o**3 = 0?
-1, 1
Let y(b) be the second derivative of b**8/6720 + b**7/672 - 3*b**3/2 - 5*b. Let d(q) be the second derivative of y(q). Factor d(i).
i**3*(i + 5)/4
Let u = -243 - -243. Let p(w) be the second derivative of u + w**2 + 1/30*w**5 + 7/9*w**3 + 5*w + 5/18*w**4. Factor p(n).
2*(n + 1)**2*(n + 3)/3
Let r be (-2 - 5/(-2))/(4/(-136)). Let v be r/(-1*(-8)/(-4)). Find z, given that -6*z**2 - 3 + v*z = 0.
2/3, 3/4
Let t(k) be the first derivative of k**5 - 2*k**4/3 + 4*k + 15. Let z(n) be the first derivative of t(n). Find s, given that z(s) = 0.
0, 2/5
Let a(l) be the first derivative of l**3/18 - 5*l**2/2 - 33*l/2 + 542. Factor a(m).
(m - 33)*(m + 3)/6
Let x(d) be the third derivative of 2/45*d**5 + 1/90*d**6 + 0*d + 0 + 0*d**3 - 7*d**2 - 2/315*d**7 + 0*d**4. Factor x(u).
-4*u**2*(u - 2)*(u + 1)/3
Let x = 1359 + -27179/20. Let j(t) be the third derivative of -x*t**5 - 1/2*t**3 + 0*t + 1/4*t**4 + 12*t**2 + 0. Let j(w) = 0. Calculate w.
1
Let w(h) = -5*h**2 + 4*h - 7. Let j(a) = -4*a**2 + 3*a - 5. Let n(u) = -4*j(u) + 3*w(u). Determine y, given that n(y) = 0.
-1, 1
Let y(m) be the third derivative of 0*m**7 + 0 + 0*m + 0*m**3 + 1/2520*m**8 - 41*m**2 + 0*m**4 + 0*m**5 - 1/900*m**6. Suppose y(f) = 0. What is f?
-1, 0, 1
Factor 13/6 - 2*s - 1/6*s**2.
-(s - 1)*(s + 13)/6
Suppose -2*q + 6 = q. Find b such that 28*b**2 + 29*b**q + 1029 + 19*b + 3*b**3 + 6*b**2 + 422*b = 0.
-7
Solve 24/7 + 46/7*r**2 + 2/7*r**4 - 16/7*r**3 - 8*r = 0 for r.
1, 2, 3
Let i(s) be the second derivative of -1/20*s**5 + 0 + 0*s**3 - 4*s + 0*s**2 - 1/4*s**4. Determine c so that i(c) = 0.
-3, 0
Let n(f) be the third derivative of 0*f + 0*f**6 - 1/840*f**7 + 0 + 1/240*f**5 - 3*f**2 + 0*f**3 + 0*f**4. Factor n(j).
-j**2*(j - 1)*(j + 1)/4
Let c(b) be the first derivative of -b**4 + 11/9*b**3 + 1/3*b**2 - 1/3*b - 31. Factor c(s).
-(s - 1)*(3*s + 1)*(4*s - 1)/3
Suppose -42 = 16*l - 90. Let f(z) be the second derivative of 1/4*z**2 + 0 - 6*z - 1/24*z**l - 1/48*z**4. Find b, given that f(b) = 0.
-2, 1
Let u(q) be the third derivative of -1/4*q**4 - 1/120*q**6 + 2*q**2 + 0*q - 3/40*q**5 + 2/3*q**3 + 0. Let z(i) be the first derivative of u(i). Factor z(v).
-3*(v + 1)*(v + 2)
Let x be (20/(-16) - 459/(-108)) + 5/(-2). Suppose x*m - 1/2*m**2 - m**3 + 0 = 0. What is m?
-1, 0, 1/2
Let q(g) = -4*g**3 + 8*g**2 + 20*g - 8. Let c(p) = -p + 1. Let a(u) = 8*c(u) + q(u). Let a(v) = 0. What is v?
-1, 0, 3
Suppose -2*y = -3*y + 10. Let -10*a - 5*a**2 + 10*a - y*a = 0. Calculate a.
-2, 0
Let w = -484/45 + 104/9. Let c = 13/20 + -1/4. Factor -c*a + w*a**2 - 2/5*a**3 + 0.
-2*a*(a - 1)**2/5
Let m(v) be the third derivative of -7*v**5/120 + 19*v**4 - 65*v**3/3 - 15*v**2 + 10. Find c such that m(c) = 0.
2/7, 130
Factor 1/2*i**2 - 1/4*i**3 - 2 + i.
-(i - 2)**2*(i + 2)/4
Let n be 1 + -3 + 7511/58. Let k = n + -126. Factor 1 + 1/2*r**4 - k*r**2 + 1/2*r - 1/2*r**3.
(r - 2)*(r - 1)*(r + 1)**2/2
Let s(a) be the first derivative of a**6/360 - a**5/60 + a**4/24 - 38*a**3/3 - 3. Let k(o) be the third derivative of s(o). What is w in k(w) = 0?
1
Let u(a) = 4*a**2 - 100*a - 120. Let x(v) = -v**2 + 20*v + 24. Let f(z) = 3*u
|
{
"pile_set_name": "DM Mathematics"
}
|
inutes before 6:47 AM?
2:04 AM
What is 185 minutes after 10:13 PM?
1:18 AM
How many minutes are there between 1:09 PM and 8:52 PM?
463
How many minutes are there between 3:11 PM and 10:21 PM?
430
How many minutes are there between 9:36 AM and 12:32 PM?
176
What is 576 minutes before 9:02 PM?
11:26 AM
How many minutes are there between 4:06 PM and 6:23 PM?
137
What is 324 minutes after 4:41 PM?
10:05 PM
How many minutes are there between 4:11 AM and 12:19 PM?
488
How many minutes are there between 10:41 PM and 10:47 PM?
6
What is 467 minutes before 2:15 AM?
6:28 PM
What is 439 minutes before 1:28 PM?
6:09 AM
How many minutes are there between 7:26 PM and 3:53 AM?
507
How many minutes are there between 1:05 AM and 2:36 AM?
91
How many minutes are there between 6:59 AM and 12:17 PM?
318
What is 359 minutes before 3:33 AM?
9:34 PM
How many minutes are there between 10:21 PM and 10:05 AM?
704
How many minutes are there between 1:12 AM and 11:53 AM?
641
How many minutes are there between 5:39 PM and 7:54 PM?
135
How many minutes are there between 2:22 PM and 1:53 AM?
691
How many minutes are there between 11:48 AM and 2:21 PM?
153
What is 353 minutes before 1:49 PM?
7:56 AM
What is 160 minutes after 2:05 AM?
4:45 AM
What is 703 minutes before 9:09 PM?
9:26 AM
How many minutes are there between 5:10 PM and 1:55 AM?
525
How many minutes are there between 11:27 AM and 10:14 PM?
647
How many minutes are there between 7:24 AM and 3:46 PM?
502
What is 416 minutes before 4:06 AM?
9:10 PM
What is 202 minutes before 1:58 AM?
10:36 PM
How many minutes are there between 10:50 AM and 9:36 PM?
646
What is 568 minutes after 11:43 PM?
9:11 AM
What is 321 minutes after 7:25 PM?
12:46 AM
How many minutes are there between 8:59 AM and 5:58 PM?
539
What is 458 minutes before 4:43 AM?
9:05 PM
How many minutes are there between 5:55 AM and 6:37 AM?
42
How many minutes are there between 6:04 PM and 4:14 AM?
610
What is 304 minutes before 11:20 AM?
6:16 AM
What is 689 minutes before 10:04 PM?
10:35 AM
What is 560 minutes after 6:30 AM?
3:50 PM
What is 77 minutes before 3:43 AM?
2:26 AM
How many minutes are there between 4:04 AM and 1:50 PM?
586
How many minutes are there between 9:10 AM and 12:53 PM?
223
How many minutes are there between 5:17 AM and 4:47 PM?
690
What is 327 minutes after 2:06 PM?
7:33 PM
How many minutes are there between 2:03 AM and 3:50 AM?
107
How many minutes are there between 7:25 AM and 11:34 AM?
249
How many minutes are there between 9:39 PM and 3:11 AM?
332
What is 167 minutes after 11:08 AM?
1:55 PM
What is 682 minutes after 11:43 AM?
11:05 PM
How many minutes are there between 12:44 PM and 5:42 PM?
298
How many minutes are there between 11:38 AM and 5:52 PM?
374
How many minutes are there between 3:05 AM and 5:17 AM?
132
What is 589 minutes after 2:47 AM?
12:36 PM
What is 599 minutes after 10:07 AM?
8:06 PM
What is 530 minutes after 8:08 PM?
4:58 AM
What is 525 minutes after 1:07 PM?
9:52 PM
What is 616 minutes after 12:30 AM?
10:46 AM
How many minutes are there between 11:46 AM and 10:46 PM?
660
How many minutes are there between 5:45 AM and 8:13 AM?
148
How many minutes are there between 7:58 PM and 11:58 PM?
240
What is 144 minutes before 8:57 AM?
6:33 AM
What is 699 minutes after 2:52 PM?
2:31 AM
What is 51 minutes before 6:53 PM?
6:02 PM
How many minutes are there between 2:30 PM and 10:06 PM?
456
How many minutes are there between 5:35 PM and 2:38 AM?
543
What is 355 minutes after 12:32 AM?
6:27 AM
How many minutes are there between 8:15 PM and 11:52 PM?
217
How many minutes are there between 2:43 AM and 10:37 AM?
474
How many minutes are there between 2:02 PM and 9:10 PM?
428
How many minutes are there between 3:37 AM and 8:42 AM?
305
How many minutes are there between 4:39 PM and 4:43 PM?
4
How many minutes are there between 11:11 AM and 12:22 PM?
71
How many minutes are there between 9:01 PM and 4:55 AM?
474
How many minutes are there between 12:55 PM and 3:40 PM?
165
How many minutes are there between 9:04 AM and 12:41 PM?
217
How many minutes are there between 12:33 AM and 11:34 AM?
661
How many minutes are there between 4:21 PM and 5:30 PM?
69
How many minutes are there between 12:22 AM and 8:15 AM?
473
What is 123 minutes after 5:58 PM?
8:01 PM
How many minutes are there between 2:05 AM and 9:51 AM?
466
What is 243 minutes before 2:40 PM?
10:37 AM
What is 254 minutes after 3:55 PM?
8:09 PM
What is 400 minutes after 9:37 AM?
4:17 PM
What is 444 minutes after 3:12 AM?
10:36 AM
What is 371 minutes before 1:58 PM?
7:47 AM
How many minutes are there between 6:10 AM and 7:51 AM?
101
What is 558 minutes after 9:34 PM?
6:52 AM
How many minutes are there between 2:12 PM and 4:15 PM?
123
How many minutes are there between 5:28 PM and 6:09 PM?
41
What is 296 minutes before 8:27 AM?
3:31 AM
How many minutes are there between 1:56 AM and 12:39 PM?
643
How many minutes are there between 2:51 PM and 10:29 PM?
458
How many minutes are there between 12:30 AM and 12:42 AM?
12
What is 543 minutes before 6:57 AM?
9:54 PM
What is 572 minutes after 12:39 AM?
10:11 AM
What is 54 minutes after 5:45 AM?
6:39 AM
How many minutes are there between 12:02 PM and 12:37 PM?
35
What is 482 minutes after 11:23 PM?
7:25 AM
How many minutes are there between 7:27 AM and 6:44 PM?
677
How many minutes are there between 5:24 AM and 4:42 PM?
678
How many minutes are there between 5:25 AM and 7:28 AM?
123
What is 572 minutes before 2:31 AM?
4:59 PM
What is 48 minutes before 2:53 PM?
2:05 PM
What is 564 minutes before 5:21 PM?
7:57 AM
What is 322 minutes before 12:07 PM?
6:45 AM
What is 539 minutes after 11:16 PM?
8:15 AM
How many minutes are there between 4:42 PM and 10:42 PM?
360
How many minutes are there between 3:58 AM and 8:23 AM?
265
How many minutes are there between 9:35 AM and 3:28 PM?
353
How many minutes are there between 1:24 PM and 2:05 PM?
41
How many minutes are there between 1:36 AM and 6:58 AM?
322
What is 535 minutes after 4:02 AM?
12:57 PM
How many minutes are there between 11:43 PM and 5:04 AM?
321
How many minutes are there between 8:26 PM and 3:22 AM?
416
What is 111 minutes after 10:24 AM?
12:15 PM
How many minutes are there between 6:51 PM and 11:51 PM?
300
What is 27 minutes before 2:26 AM?
1:59 AM
What is 588 minutes before 3:35 AM?
5:47 PM
What is 457 minutes before 11:18 PM?
3:41 PM
How many minutes are there between 4:48 AM and 8:48 AM?
240
What is 237 minutes after 7:59 AM?
11:56 AM
What is 303 minutes before 11:05 AM?
6:02 AM
What is 456 minutes before 9:04 PM?
1:28 PM
How many minutes are there between 4:45 AM and 10:57 AM?
372
How many minutes are there between 1:19 AM and 2:00 AM?
41
What is 136 minutes after 6:32 AM?
8:48 AM
How many minutes are there between 7:40 AM and 3:52 PM?
492
What is 582 minutes before 1:54 PM?
4:12 AM
What is 692 minutes after 2:53 PM?
2:25 AM
What is 342 minutes after 5:34 PM?
11:16 PM
How many minutes are there between 7:58 AM and 8:58 AM?
60
What is 355 minutes before 5:34 PM?
11:39 AM
What is 251 minutes before 1:56 PM?
9:45 AM
How many minutes are there between 10:35 AM and 12:13 PM?
98
What is 40 minutes after 11:54 AM?
12:34 PM
What is 353 minutes before 9:42 AM?
3:49 AM
How many minutes are there between 12:02 PM and 6:14 PM?
372
How many minutes are there between 2:25 AM and 7:57 AM?
332
How many minutes are there between 11:57 AM and 8:45 PM?
528
How many minutes are there between 2:46 PM and 4:43 PM?
117
What is 126 minutes after 1:29 PM?
3:35 PM
How many minutes are there between 7:48 PM and 11:15 PM?
207
How many minutes are there between 12:56 PM and 3:48 PM?
172
What is 552 minutes after 6:27 AM?
3:39 PM
How many minutes are there between 7:23 PM and 10:09 PM?
166
How many minutes are there between 11:51 PM and 7:29 AM?
458
What is 295 minutes before 6:38 PM?
1:43 PM
How many minutes are there between 2:36 PM and 8:01 PM?
325
How many minutes are there between 8:05 PM and 11:16 PM?
191
What is 44 minutes after 12:01 AM?
12:45 AM
What is 76 minutes after 1:08 PM?
2:24 PM
How many minutes are there between 12:09 PM and 10:36 PM?
627
How many minutes are there between 1:13 AM and 4:00 AM?
167
How many minutes are there between 7:04 AM and 1:50 PM?
406
What is 202 minutes after 11:32 AM?
2:54 PM
|
{
"pile_set_name": "DM Mathematics"
}
|
87*x.
179964*x + 178
Find the third derivative of -60*o**5 + 559*o**4 - 482*o**3 + 451714274*o**2.
-3600*o**2 + 13416*o - 2892
What is the first derivative of 24118*i**4 - 1618*i**3 + 507480559?
96472*i**3 - 4854*i**2
Find the third derivative of 275292741*j**3 - 721453226*j**2.
1651756446
Find the third derivative of -36049*y**6 - 2965*y**5 - 457368437*y**2 wrt y.
-4325880*y**3 - 177900*y**2
What is the second derivative of 36*w**4 - 2449278*w**2 - 14272867*w?
432*w**2 - 4898556
Find the third derivative of 554*x**4 + 1233*x**3 - 519619*x**2 - 18*x.
13296*x + 7398
Find the third derivative of 350357091*h**3 + 328695331*h**2.
2102142546
Differentiate -3618*j*l*p**3 + 928*j*l*p - 5322431*l*p**3 wrt j.
-3618*l*p**3 + 928*l*p
Find the second derivative of 384248268*a**3*s**2 - a**3*s - 769*a*s**2 - 9*s**2 - 3230 wrt a.
2305489608*a*s**2 - 6*a*s
Differentiate -27129855*w - 23014938.
-27129855
Find the second derivative of 730*l*x**3 - 2219*l*x**2 - 3*l*x - 4474*l - 3*x**2 - 4*x + 10 wrt x.
4380*l*x - 4438*l - 6
Differentiate -105661*g*y**2 - 33*g*y + 2*g - 5*y**2 + 15284701 with respect to y.
-211322*g*y - 33*g - 10*y
Find the third derivative of -100674448*c*f**4 - 16532605*c*f**2 - 2*c + f wrt f.
-2416186752*c*f
Find the third derivative of 50*n**4 - 1198563*n**3 - n**2 + 2*n + 231774 wrt n.
1200*n - 7191378
Find the third derivative of -1622367*a**2*b**3 + 67*a**2 + 46784*a*b**2 - 6*b**3 wrt b.
-9734202*a**2 - 36
Find the first derivative of -24421501*c**2 + 27319090.
-48843002*c
Differentiate -4*g*y**2 - 2*g*y - 75*g + 1107523*y - 301391 with respect to y.
-8*g*y - 2*g + 1107523
Find the first derivative of 406279452*a**2 + 681726020 wrt a.
812558904*a
What is the second derivative of -265116254*k**3 + 2*k**2*l + 657*k*l - 134954*k wrt k?
-1590697524*k + 4*l
Differentiate -286047387*u + 60444795.
-286047387
Find the second derivative of 1105748*d**2 - 19*d + 142826 wrt d.
2211496
What is the third derivative of r**6 - 42345*r**5 - 18*r**3 + 7*r**2 - 482679*r - 2?
120*r**3 - 2540700*r**2 - 108
Find the third derivative of 4*c**3*w**2 + 470357*c**3*w - 2*c**3 - 41*c**2*w**2 - 30*c**2*w + 46*c**2 + 5*c*w**2 + 2 wrt c.
24*w**2 + 2822142*w - 12
Find the third derivative of -30321273*u**3 + 91739695*u**2 wrt u.
-181927638
Find the third derivative of -913*l*m*p**3 + 2*l*m*p**2 - 4198*l - 2752*m*p**3 - m*p**2 - 2*p**2 - 126 wrt p.
-5478*l*m - 16512*m
What is the first derivative of d*z**2 + d*z - 6638*d + 50*z**2 - 7773*z - 705 wrt z?
2*d*z + d + 100*z - 7773
Find the first derivative of -3967831*b*w**3 + 94250*w**3 - 2*w - 11 wrt b.
-3967831*w**3
Find the second derivative of 38586*y**4 + 35*y**2 + 520*y - 157.
463032*y**2 + 70
What is the third derivative of 21694005*u*x**3 + 4*u*x**2 + 2*u*x + 683*u - x**2 + 4*x wrt x?
130164030*u
What is the first derivative of 14392*c**3*g**3 + 3814*c**2*g**3 - 34856*g**3 + 1032*g**2 wrt c?
43176*c**2*g**3 + 7628*c*g**3
What is the second derivative of -64*i**5*u**2 + 9569*i**3*u**3 - 2*i*u**3 + 446*i - 379*u**3 + 3*u**2 wrt i?
-1280*i**3*u**2 + 57414*i*u**3
What is the second derivative of -11*v**3 - 904685*v**2 - 9757*v - 436 wrt v?
-66*v - 1809370
Find the second derivative of 46*b*j*u*x + 613334795*b*u**2*x - 1847524*b*x - 2*j*u**3*x + 2*j*x wrt u.
1226669590*b*x - 12*j*u*x
Find the first derivative of -m**2*s + 11908*m**2*v**2 - 5*m**2 - 275*s*v + 111723*s - 2 wrt v.
23816*m**2*v - 275*s
What is the third derivative of -89*c**3*y + 777996*c**3 - 3*c**2*y + 203*c**2 - 13*c + y - 261 wrt c?
-534*y + 4667976
Find the first derivative of 148735459*i + 3210083.
148735459
Find the first derivative of 45146670*i**4 + 29008468 wrt i.
180586680*i**3
What is the first derivative of -25212466*d**3 - d**2 + 289113387?
-75637398*d**2 - 2*d
What is the derivative of 489089248*a - 188797599?
489089248
Find the third derivative of 798748473*k*m**3 - 5*k*m**2 - 2*k + 3809*m**2 + 145 wrt m.
4792490838*k
Find the third derivative of -5*f*o**3 + f*o**2 - f*o - 233*o**4 - 24268*o**3 - 208420*o**2 + 7*o wrt o.
-30*f - 5592*o - 145608
Find the second derivative of -75117751*v**2 - 6616*v + 254 wrt v.
-150235502
What is the third derivative of 8*i*r**3 - 133*i*r**2 + i*r - 79*i - 85407*r**3 - r**2 + r + 46 wrt r?
48*i - 512442
Find the first derivative of -4*y**4 - 789*y**3 - 125*y + 8289257 wrt y.
-16*y**3 - 2367*y**2 - 125
Find the second derivative of -3*g**2*n**3*v + 5608907*g**2*v**3 + 33223213*g*n**3 - 6*g*v**3 wrt g.
-6*n**3*v + 11217814*v**3
What is the first derivative of 29425021*o - 617609785 wrt o?
29425021
What is the first derivative of -289*i**3*r + 2*i**3 + 1606*i**2 + 28290*i*r - 139*i + 2*r - 2 wrt r?
-289*i**3 + 28290*i + 2
Differentiate 8*i**4 + 1282861*i**2 + 48534551 with respect to i.
32*i**3 + 2565722*i
Find the third derivative of -14104763*d*i*u**3*v**3 - 249*d*i*u**2 + 3*d*i*v - 4*d*u**2*v**3 - d*u**2*v - 25*d + 2*i*u wrt u.
-84628578*d*i*v**3
What is the first derivative of -27*z**3 + 5261*z**2 - 31*z - 154126316 wrt z?
-81*z**2 + 10522*z - 31
Find the third derivative of 123398785*f*i**3 - 2*f*i**2 - 3*f*i + 1651*f - 19*i**2 + 41*i wrt i.
740392710*f
Find the second derivative of -2*r**2*x**2 + 1385*r**2*x + 12*r**2 + 7431*r*x**3 - 2*r*x - 169*x**2 - 2 wrt x.
-4*r**2 + 44586*r*x - 338
Differentiate -8132355*u + 30840464.
-8132355
Find the third derivative of -109*d**5 - 35*d**4 - 50*d**3 - 15392324*d**2 wrt d.
-6540*d**2 - 840*d - 300
Find the third derivative of -13743*o**4 + 267*o**3 + 3283*o**2 + 329.
-329832*o + 1602
Find the second derivative of 77082*v**4 + 36*v**3 + 4*v**2 + 5*v - 3634219.
924984*v**2 + 216*v + 8
Find the first derivative of -175198802*c + 88048456.
-175198802
What is the second derivative of 252*p**4 - 2*p**3 - 2027*p**2 - 9336471*p wrt p?
3024*p**2 - 12*p - 4054
What is the third derivative of -44053259*n**2*s**3 - 32*n**2 - 154804*n*s**2 wrt s?
-264319554*n**2
Find the third derivative of 235*o**5 - 163*o**3 + 447*o**2 + 3*o + 2410 wrt o.
14100*o**2 - 978
What is the third derivative of -2*f**3*y**2 + 136*f**3*y - 409269*f**3 + 7*f**2*y**2 + 3*f**2 - 2865*f*y**2 + 11*f - 2*y**2 - 2 wrt f?
-12*y**2 + 816*y - 2455614
Find the second derivative of -17070230*p**2*w - 468765*p*w + 2*w - 4 wrt p.
-34140460*w
Find the third derivative of 1170426*l**6 + 6*l**4 - 497116660*l**2.
140451120*l**3 + 144*l
What is the third derivative of -8867245*q**3 - 25*q**2 + 20458*q - 1 wrt q?
-53203470
What is the third derivative of -5329619*w**6 + w**4 - 413390*w**2?
-639554280*w**3 + 24*w
Find the third derivative of 131114238*d**4 + 816019*d**2 - 172*d - 2 wrt d.
3146741712*d
Find the third derivative of 50*a*h**3*s - 2*a*h**2*s**2 - 3637*a*h**2*s + a - 310657*h**3*s**2 + 23*h**2*s wrt h.
300*a*s - 1863942*s**2
What is the second derivative of 117*f**2*j - 25196*f**2 + 248*f*j + 4312*j wrt f?
234*j - 50392
Find the second derivative of -9978496*p**3 - 3*p**2 + 614265020*p wrt p.
-59870976*p - 6
Differentiate -2770056*k*o*s - 46885*k*s - s - 164 wrt o.
-2770056*k*s
What is the third derivative of 60970104*h**4 - 68*h**2 + 8694*h - 2 wrt h?
1463282496*h
What is the derivative of -28273689*k**2 - 5336094?
-56547378*k
Find the second derivative of -74*q*u**2 + 186837*q*u + 4*q - 18*u**3 + 653*u**2 wrt u.
-148*q - 108*u + 1306
Find the third derivative of 303221*h**4 - 2*h**2 + 152097*h - 1.
7277304*h
Differentiate -127825827*l**3 + 110240468 wrt l.
-383477481*l**2
What is the second derivative of -299974109*q**3 + 39*q + 176576?
-1799844654*q
Find the third derivative of 24*q**2*z**3 + 2804228*q**2*z**2 + 3*q**2*z - 504*q*z**3 + 2*z**3 wrt z.
144*q**2 - 3024*q + 12
Find the second derivative of -9800357*b**2 - 381*b + 1008 wrt b.
-19600714
Find the second derivative of -13*f**5 - 492*f**4 + 58*f**3 - 42*f - 26322 wrt f.
-260*f**3 - 5904*f**2 + 348*f
What is the second derivative of 5047806*s**4*w**2 - s*w**2 + 53544*s*w + w**2 + 3 wrt s?
60573672*s**2*w**2
Differentiate 580884*c*t - 115754*t wrt c.
580884*t
What is the first derivative of 5955026*s*v**2 - 11220258*v**2 wrt s?
5955026*v**2
Find the third derivative of -94454313*k**5*v**2 + 34*k**2*v + k**2 + 93455*k*v**2 wrt k.
-5667258780*k**2*v**2
Differentiate -9*b**2*g**4 - 4831098*b**2*g**2 - 94094230*b**2 + 2*b with respect to g.
-36*b**2*g
|
{
"pile_set_name": "DM Mathematics"
}
|
3 = -170*d. Is d prime?
False
Let v(j) = 25*j**2 + 12*j - 3. Suppose -2*p = -3*m + 16, -5*m + 2*p = -0*p - 24. Is v(m) a composite number?
True
Is -5 + (4 + -9 - -9) - -1970 composite?
True
Let n = 14771 - 5770. Is n prime?
True
Let a(t) = -10*t**2 + 8*t + 12. Let p(o) = -29*o**2 + 24*o + 35. Let u(h) = 17*a(h) - 6*p(h). Is u(7) a composite number?
True
Let h(w) = -w**3 + 5*w - 3. Suppose 13*n = 16*n + 24. Is h(n) composite?
True
Let k be (-21)/35 + 13/5. Let g(n) = 4*n - n + 2*n**2 - 126*n**3 - k*n. Is g(-1) prime?
True
Suppose -4*j = 653 - 2249. Suppose 3*s + 18 - j = 0. Is 3/1*s/3 a composite number?
False
Let r be (-195)/12*(-15 - -3). Let c = 114 - 49. Suppose z + 3*l = c, 3*z + l - r = -3*l. Is z composite?
True
Let w = -37 + 36. Is 374/w*(7/2 - 4) a prime number?
False
Let i(b) = 11*b + 2*b - 14*b - 3 + b**2. Let n be i(3). Suppose 0 = -n*j - 12, -5*j + 126 = 3*o - 523. Is o prime?
True
Suppose -65*n + 55*n = -43730. Is n a composite number?
False
Let w(g) = 16*g**2 + 3*g. Let y be w(5). Suppose -9*f = -4*f - y. Is f a prime number?
True
Is (-4)/(-10) - (207224/(-40) - 8) a composite number?
False
Is 1369998/45 + 5 - (-4)/(-10) a composite number?
False
Let d = 3901 + -2784. Suppose -1059 = -o + 2*s, 2*o - d - 1013 = s. Is o a composite number?
True
Let k = 1905 - 1534. Is k prime?
False
Suppose 3*d - 28 = -11*d. Is d composite?
False
Suppose 2*l + h - 26 = -102, 2*h + 113 = -3*l. Let i be (-565)/(-2) + l/26. Suppose -3*t = -b + 6*b - i, 8 = 4*t. Is b prime?
False
Suppose -4*i + 5696 = -3*k + 1767, 2*k + 2626 = i. Let y = k + 1880. Is y a composite number?
True
Let f(b) = 99*b**2 + b - 2. Let p be f(2). Let d = p - 97. Is d a prime number?
False
Let z = 50 - 43. Let u(o) = o**3 - 2*o**2 - 6*o - 12. Is u(z) prime?
True
Let d(n) = -n**3 + 2*n. Let w be d(-2). Let i be -74 - 0 - w*1. Is (i/18)/((-1)/33) a prime number?
False
Suppose 4702 = 4*x - 6. Is x a composite number?
True
Let z(p) be the third derivative of p**5/30 + p**4/8 - p**3 + 10*p**2. Let t be z(-3). Suppose 0 = t*v - 708 + 237. Is v composite?
False
Suppose -7*t + t + 3318 = 0. Let v = t + -342. Is v a composite number?
False
Suppose -z = -5*w + 23, 2*z - 11 = -z - w. Suppose -5*n - 4*b = -2689, n = -z*n - b + 1619. Is n prime?
True
Let h be (-8720)/(-5)*(-1)/2. Let f = 1155 - h. Is f composite?
False
Suppose 2*r - r = 4*f + 20, -2*f = -5*r - 8. Let b(g) = -3*g**3 + 12*g**2 - 7*g - 5. Is b(f) a prime number?
True
Let c = -34586 + 60669. Is c composite?
False
Let i(c) = 106*c**3 + 7*c - 33. Is i(4) a prime number?
True
Suppose a + 5*y - 141 = 0, 0*y - 2*y = -8. Suppose f + 4*o - a = 0, 2*f - 3*o = 7*f - 554. Is f composite?
False
Suppose -12138 = -f - 1687. Is f a prime number?
False
Suppose -12*k = -11*k + 104. Let r(i) = -41*i + 7. Let o be r(-6). Let c = o + k. Is c prime?
True
Let m(o) = 535*o - 27. Let l be m(6). Suppose -2*f - l = -5*f. Is f composite?
False
Let s(v) = -2199*v - 73. Is s(-6) prime?
True
Let b(o) = -3*o**3 + 2*o**2 + 6*o - 9. Is b(-4) a composite number?
False
Suppose -3*n + 14462 + 35815 = 0. Is n a prime number?
True
Let i(v) = 162*v**3 - 2*v + 1. Let l be (-4 - -2 - 1) + 7. Suppose l = 5*h - 1. Is i(h) a composite number?
True
Let i = 3 + 1. Suppose -110 = 4*w + 2*o - 1054, 0 = i*w + 5*o - 932. Suppose w = 4*v - 2*v. Is v prime?
False
Let c(q) = 3*q**2 + 5 - 17*q + 2*q**3 - q**2 - 11*q**2. Is c(9) a composite number?
True
Let t = 6596 - 456. Suppose 0*v + 4*v = t. Is v composite?
True
Suppose -8*m - 4*h - 1909 = -11*m, 0 = -5*m - h + 3151. Is m a prime number?
True
Let j be 181*(11 - 9)*(-2)/(-4). Suppose -2004 = 177*g - j*g. Is g a composite number?
True
Let i(f) be the third derivative of f**5/15 - 2*f**4/3 - 7*f**3/3 + 24*f**2. Is i(9) prime?
False
Suppose 3 = 3*w - 2*w. Suppose 0*i - 561 = -w*i. Is i prime?
False
Suppose -3*r + f + 217 = -420, -2*r + 434 = -3*f. Is r prime?
True
Let c(l) = 190*l**2 - 2*l - 3. Is c(4) composite?
True
Let f(w) = 11107*w**3 - 5*w**2 + 5*w. Is f(1) composite?
True
Suppose 4344 = 4*f - y - 0*y, -3*f + 3258 = y. Suppose -4*i = 2*v + f, -i - 1252 = 5*v + 1436. Let m = v + 806. Is m composite?
False
Let n be (-3 + (-4)/(-1))*83. Let j(u) = u**2 - 55 - 17*u + n - 45. Is j(-13) a prime number?
True
Let t be 4/(-10) - (-165)/(-25). Let p(i) = -i - 6. Let v be p(t). Is 178 + v - (0 + -2) a composite number?
False
Suppose j = -4*v - 3, 0*j - j = -5*v + 3. Let o = -7 + 7. Is 180 + 3 + (o - v) a composite number?
True
Let w be (-9)/(108/16) - 13/(-3). Suppose 0 = r - w*r + 762. Is r prime?
False
Let i be 8/3 + 6/(-9). Suppose 4*z - 1335 = -5*u, -i*u = -0*u + 2*z - 532. Is u composite?
False
Suppose 5*k = 3*j - 4286, 5*j - 2578 = k + 2*k. Let q = k - -1497. Is q a prime number?
True
Let t = 590 + -283. Let o = t - -112. Is o composite?
False
Let f be -25 + 0 - (0 + -2). Let d = -12 - -4. Let y = d - f. Is y a prime number?
False
Let s = -12 + 16. Suppose s*y = -4*a - 2148, 4*a = -2*y - 1141 + 65. Is 0 + 3 + y/(-2) a prime number?
True
Suppose -o + 12 - 7 = 0. Suppose -5*i + 12 + 12 = -z, -5*z - 80 = -o*i. Is (-272)/z + 18/(-42) composite?
False
Is (-3)/(-7) + 802/7 composite?
True
Let g be (60/(-2))/(6/18*-1). Suppose -z = -g - 611. Is z a composite number?
False
Suppose 2*f + 2*b = 7178, f - 9*b - 3601 = -7*b. Is f a composite number?
False
Let j(t) be the first derivative of t**4/4 - 4*t**3/3 - 2*t**2 + 4. Let f be j(5). Suppose -f*p = -0*p - 1055. Is p composite?
False
Let c = -11 - 170. Let x = c - -474. Is x composite?
False
Let l be -1*8/(-4)*1. Suppose l*i + 1 = 3*d + 4*i, -5*d = 5*i + 5. Suppose 0 = -w - 2, -d*w + 362 + 634 = 2*o. Is o a prime number?
False
Let f(b) = 16*b**2 + 23*b - 2. Is f(12) prime?
False
Suppose -2*t - 2*a = -14936, -17209 = -3*t - 4*a + 5192. Is t composite?
True
Suppose -5*m + 3*c = 9, -4*m + 0 + 12 = 4*c. Suppose -3*p + 744 = -3*y, 5*y - 2 - 13 = m. Is p a composite number?
False
Let a(o) = -4*o**2 - 3. Let j(p) = -p - 1. Let k(d) = -a(d) - 4*j(d). Let f be (-52)/9 + 12/(-54). Is k(f) a prime number?
True
Let a(t) be the second derivative of -t**4/12 + 2*t**3/3 - t**2/2 + 9*t. Let r be a(3). Is r + 1137*(-4)/(-12) a prime number?
False
Let g = -406 + 407. Suppose -4*i = 2*q + 18 + 4, -3*q + 2 = -i. Is 368 - (g/q + -2) a prime number?
False
Let w be (-3 - -1) + 6 + -1. Suppose 5*f + 3*m = -486, 0*f + w*f - 2*m = -303. Let a = f - -145. Is a prime?
False
Suppose -5*i - 10 = -30. Suppose -5*f + 2*o + 3075 - 104 = 0, -4*o + 2360 = i*f. Suppose 2*t = -3*g + 311, -191 - f = -5*t - g. Is t composite?
False
Let i(k) = -7*k - 11. Suppose 2*y = -v + 1, v - y - 3 = -2*y. Suppose -25 = v*s - 5*p, -28 = 3*s + 4*p - 6. Is i(s) composite?
False
Suppose 0 = 9*z - 243 - 774. Is z composite?
False
Let f(a) = 40*a**2 + 11*a + 12. Is f(-3) prime?
False
Suppose 0 = -2*o + 12 - 8. Suppose -3*u - o*u = -4145. Is u a prime number?
True
Suppose 0 = 4*z + 2*d - 84, -d + 5*d = -5*z + 111. Suppose 0 = -3*b - 4*q + z, -16 = -4*b - 6*q + 3*q. Is b/(-3 - 284/(-94)) a prime number?
True
Suppose i + 2 = 0, 3*r - 3*i - 70339 = -4*i. Suppose r = 11*m + 8014. Is m composite?
True
Let d = 5 - -1. Let u be d/(-27) - 40/(-18). Suppose 4*x + 134 = u*f, -f + 3*x = -0*f - 67. Is f a composite number?
False
Let d be 0 + 4 + -3 + 14. Let y = -20 + d. Let i(h) = -17*h - 11. Is i(y) a prime number?
False
Let y = -18 - -25. Let c(t) = 5*t**2 + 5*t - 9. Is c(y) prime?
True
Suppose -9107 = -5*d + 943. Let p = -1327 + d. Is p composite?
False
Let q be 3630/18 + 2/6. Suppose 0 = -k + 381 + q. Is k composite?
True
Suppose -j - 2*j - 5*y = 5, -5*j - 30 = 4*y. Is (j/4 - -3)/(3/2514) prime?
True
Let a be (-34)/(-14) - 36/(-63). Suppose -2*n = -f + 9, a = 2*f + 4*n + 1. Suppose -s + 2460 = 3*s - 4*i, f*i - 2442 = -4*s. Is s prime?
True
Let x = 2062 + -1083. Is x a composite number?
True
Let r(l) = 96*l - 2. Let y(p) = -96*p + 2. Let i(j) = -3*r(j) - 2*y(j). Let a be i(-4). Suppose -a = -3*d + 5*k, -2*k + 77 = d - 48. Is d a composite number?
False
Is (-9 - 2018)*-1*(2 + -1) prime?
True
Let d(i) = 11*i**3 - 14*i**2 - 49*i - 19. Is d(23) a composite number?
True
Let c = -18 - -21. Suppose -2*t = -c - 3. Suppose 2389 = t*g + 448. Is g a prime number?
True
Let p be (-95)/4 - ((-6)/8)/1. Let h = p - -516. Is h prime?
False
Let s be (-2 + 3)/((-4)/(-32))
|
{
"pile_set_name": "DM Mathematics"
}
|
**2.
6*r**2
Collect the terms in -27*a - 36*a + 78*a - 38*a.
-23*a
Collect the terms in -41*c**2 + 125*c**2 - 42*c**2 - 34*c**2.
8*c**2
Collect the terms in -36*u - 26*u + 20*u - 12*u.
-54*u
Collect the terms in 12*y**2 - 38*y**2 + 29*y**2.
3*y**2
Collect the terms in 13*c + 25*c - 38*c - 2*c**3.
-2*c**3
Collect the terms in 5*j + 14*j + 5*j + 66*j + 2*j**2.
2*j**2 + 90*j
Collect the terms in 613*p - 25*p + 196*p.
784*p
Collect the terms in -304*k**3 + 22*k**3 + 36*k**3 + k.
-246*k**3 + k
Collect the terms in 17*q**2 - 50*q**2 + 15*q**2 + 14*q**2.
-4*q**2
Collect the terms in 484 + 45*w**3 - 484.
45*w**3
Collect the terms in 26*u**2 + 24*u**2 - 47*u**2.
3*u**2
Collect the terms in 1 + 2 - 18*v**2 - 3.
-18*v**2
Collect the terms in -11*q**3 - 13*q**3 - 13*q**3.
-37*q**3
Collect the terms in -3*d**2 - 6*d + 23*d**2 - 5*d**2.
15*d**2 - 6*d
Collect the terms in -16*h + 16*h - 2*h**3.
-2*h**3
Collect the terms in 2 - m**3 + 13*m + 31*m - 2.
-m**3 + 44*m
Collect the terms in -59*c**3 + 6*c**3 - 7*c**3.
-60*c**3
Collect the terms in 2*n**3 - 10*n**3 + 5*n**3.
-3*n**3
Collect the terms in -8*n + 31*n + 2*n + n + 21*n.
47*n
Collect the terms in -1634*n + 816*n + 816*n.
-2*n
Collect the terms in 2 + 3 + 0 + 0 + 3*x.
3*x + 5
Collect the terms in -55*n + 3*n**2 - 29*n + 73*n.
3*n**2 - 11*n
Collect the terms in 164*v**2 + 156*v**2 - 318*v**2.
2*v**2
Collect the terms in 3*h**3 - 21*h**3 + 3*h**3.
-15*h**3
Collect the terms in -144 + 71 + 73 + 4*w**3.
4*w**3
Collect the terms in n - 3*n**3 + 5*n**3 - 4*n + n.
2*n**3 - 2*n
Collect the terms in 2*v + 359 - 359.
2*v
Collect the terms in -135 + 7*j**2 + 135.
7*j**2
Collect the terms in -52 - 2*a**3 + 104 - 52.
-2*a**3
Collect the terms in 29 + 2*h - 29 - 82*h.
-80*h
Collect the terms in -2376*l**2 - 3*l**3 + 2376*l**2.
-3*l**3
Collect the terms in -24*q**3 + 2*q**3 + 8*q**3 + q**3 + 4*q**3.
-9*q**3
Collect the terms in 0*n - 7*n - 10*n - 6*n + 13*n.
-10*n
Collect the terms in 49*c**3 - 19*c**3 + 132*c**3.
162*c**3
Collect the terms in -46*r - 49*r + 146*r - 51*r - 3*r**2.
-3*r**2
Collect the terms in -d**3 + 4*d**3 - d**3.
2*d**3
Collect the terms in 23*q**2 + 41442*q - 41442*q.
23*q**2
Collect the terms in -6*k - 6*k + 10*k + 28.
-2*k + 28
Collect the terms in -41*g + 0 - 40*g + 0 + 80*g.
-g
Collect the terms in 43*v**2 + 53*v**2 - 99*v**2.
-3*v**2
Collect the terms in 15 - 15 - g.
-g
Collect the terms in -y + y + y + 0.
y
Collect the terms in 1813*j - 1813*j - 3*j**2 - j**2.
-4*j**2
Collect the terms in 32*l**2 - 73*l**2 + 42*l**2.
l**2
Collect the terms in 45*v**3 + 47*v**3 - 91*v**3.
v**3
Collect the terms in -89*w - 68*w + 138*w.
-19*w
Collect the terms in 1 + 2*j - 4 + j.
3*j - 3
Collect the terms in 2388 - 8*n**2 - 2388.
-8*n**2
Collect the terms in -40*n + 0 + 0.
-40*n
Collect the terms in -5 + 1 + 7*i**3 - 3 + 7.
7*i**3
Collect the terms in -40*i**3 + 0*i + 0*i - 41*i**3 + 83*i**3.
2*i**3
Collect the terms in -f + f - 23*f**3 - f**2.
-23*f**3 - f**2
Collect the terms in 56*q + 1 - 3 - 139*q - 123*q.
-206*q - 2
Collect the terms in -13*q + 3*q - 6 + 12 - 8.
-10*q - 2
Collect the terms in -3*g**2 - 4*g**2 - 7*g - g + 4*g**2.
-3*g**2 - 8*g
Collect the terms in 0*w - 30*w**3 - w - 13*w**3 + 404*w**3.
361*w**3 - w
Collect the terms in -14*s + 7*s + 4*s.
-3*s
Collect the terms in 14*h**2 + 4*h**2 - 2*h**2 + 19*h**2.
35*h**2
Collect the terms in 4*u**2 + 8*u**2 - 85*u**2.
-73*u**2
Collect the terms in 139 + v + 142 - 424 + 143.
v
Collect the terms in 3 + 37*w**3 + 174*w**3 - 3.
211*w**3
Collect the terms in -15*a**2 + 0*a**2 + 14*a**2.
-a**2
Collect the terms in y**3 - 48 - 3*y**2 + 5*y**2 - 2*y**2.
y**3 - 48
Collect the terms in -77*f**2 - 1079*f + 1079*f.
-77*f**2
Collect the terms in -15 + 2*j**2 + 15.
2*j**2
Collect the terms in 19*r + 22*r - 61*r - 22*r**2 + 20*r.
-22*r**2
Collect the terms in 26*a**2 - 26*a**2 + 5*a**2.
5*a**2
Collect the terms in -3*c - c - 172 + 2*c.
-2*c - 172
Collect the terms in -6*f**3 - 5901 + 5901.
-6*f**3
Collect the terms in 5 + 46*h**2 - 5.
46*h**2
Collect the terms in -17*h**3 - 5*h**3 + 4*h**3.
-18*h**3
Collect the terms in -a + 27*a**2 + a - 39*a**2.
-12*a**2
Collect the terms in -7*o**2 + 18 - 18.
-7*o**2
Collect the terms in -12*g**2 - 9*g**2 - 5*g**2.
-26*g**2
Collect the terms in 2 + 0 - 3 + 13*t.
13*t - 1
Collect the terms in -3*t**2 - 11*t**2 - 8*t**2 + 20*t**2.
-2*t**2
Collect the terms in 13*z - 14*z + 7*z**2 - 10*z**2 - 23*z**2.
-26*z**2 - z
Collect the terms in 45*p + 5*p - 18*p.
32*p
Collect the terms in -58 - k - 303 - k - 104.
-2*k - 465
Collect the terms in -34 - 90*r + 34.
-90*r
Collect the terms in -149*h**2 + 2*h**3 + 149*h**2 - 4*h**3.
-2*h**3
Collect the terms in 5 + 9*d**2 - 5 - 34*d**2.
-25*d**2
Collect the terms in -57447 + 57447 + 27*j**2.
27*j**2
Collect the terms in -169182 + 169182 - 13*t.
-13*t
Collect the terms in 192*d**2 - 97*d**2 - 97*d**2.
-2*d**2
Collect the terms in 29*h**3 - 29*h**3 - 2*h**3.
-2*h**3
Collect the terms in -95*f**3 + 231*f**2 - 231*f**2.
-95*f**3
Collect the terms in -3*r**2 - 59*r**3 + 3*r**2.
-59*r**3
Collect the terms in 3*d + 0*d**3 - 3*d**3 - 5*d**3.
-8*d**3 + 3*d
Collect the terms in -22*t**3 + 29*t**3 - 82*t**3.
-75*t**3
Collect the terms in -2*x - 3*x + 3*x.
-2*x
Collect the terms in 35*g**2 - 26*g**2 + 15*g**2.
24*g**2
Collect the terms in -9*d - 9*d - 9*d + 2.
-27*d + 2
Collect the terms in 1 - 4*t**3 + 9*t**3 + 0.
5*t**3 + 1
Collect the terms in -1 + 5426*y + 1 - 5410*y + 0.
16*y
Collect the terms in b**2 - 2*b**2 + 41*b**2.
40*b**2
Collect the terms in -1 + 4 - 2 + 9*j.
9*j + 1
Collect the terms in 0*u**2 + 4*u**2 - 4*u**2 - 2*u**3.
-2*u**3
Collect the terms in 20289 - l**3 - 20289.
-l**3
Collect the terms in -8*b - 5*b + 21*b - 11*b.
-3*b
Collect the terms in p**3 - 16 + 12 + 4.
p**3
Collect the terms in -15*v - 43*v + 42*v.
-16*v
Collect the terms in -111*b**3 + 171 - 171.
-111*b**3
Collect the terms in -6*i**2 - 7*i**2 - 9*i**2.
-22*i**2
Collect the terms in 4 - 16*j**2 - 4 - 38*j**2.
-54*j**2
Collect the terms in -769*x**2 + 1538*x**2 - 770*x**2.
-x**2
Collect the terms in 15*i + 2 - 101*i - i.
-87*i + 2
Collect the terms in -5*w**2 - 2*w**2 - w**2 - w**2.
-9*w**2
Collect the terms in 5*c - 2*c + 95 - 113.
3*c - 18
Collect the terms in -14*r**2 - 22*r + 22*r - 21*r**2.
-35*r**2
Collect the terms in 11070*i**2 - 5537*i**2 - 5537*i**2.
-4*i**2
Collect the terms in -13*k - 18*k + 48*k - 20*k.
-3*k
Collect the terms in -1979 + 1979 + 5*p - 3*p.
2*p
Collect the terms in -45*d**3 - 49*d**3 + 93*d**3.
-d**3
Collect the terms in n**2 + 82*n + 79*n - 161*n.
n**2
Collect the terms in j**2 - j**2 + 32*j**3 + 18*j**3.
50*j**3
Collect the terms in 42*n**2 - 186*n**2 + 73*n**2 + 73*n**2.
2*n**2
Collect the terms in -2*r**3 + 56*r**2 + 49*r**2 - 105*r**2.
-2*r**3
Collect the terms in -87*a**2 + 27*a**2 + 37*a**2 + 35*a**2.
12*a**2
Collect the terms in 907 - 3*f**2 + 907 - 1814.
-3*f**2
Collect the terms in -11*i + 21*i - 12*i.
-2*i
Collect the terms in -1108 - d**3 + 555 + 553.
-d**3
Collect the terms in -4*u - 7*u + 2*u.
-9*u
Collect the terms in 22*y**2 - 4 + 16 - 8 - 4.
22*y**2
Collect the terms in 14*p**3 + 3*p - 3*p.
14*p**3
Collect the terms in -90*z + 15*z - 1864*z.
-1939*z
Collect the terms in 3 + 10 - 13 + 5*o**2.
5*o**2
Collect the terms in 5*k + 6*k - 37*k**3 + 0*k**3 - k.
-37*k**3 + 10*k
Collect the terms in -23*k**2 - 9*k**3 + 23*k**2 + 24*k**3.
15*k**3
Collect the terms in -48*p**2 + 570*p - 570*p + 44*p**2.
-4*p**2
Collect the terms in -1 + 3*h - 35 - 12 - h.
2*h - 48
Collect the terms in -147*r + 147*r - 5*r**2.
-5*r**2
Collect the terms in 32625*a**2 + 4*a**3 - 32625*a**2.
4*a**3
Collect the terms in 14*l - 9*l - 5*l + 35*l**3 - 28*l**3.
7*l**3
Collect the terms in -28*b**2 + 8*b**2 - 31*b**2 + 3*b**2.
-48*b**2
Collect the terms in 25*i - 119 + 119.
25*i
Collect the terms in -8*v**2 + v - 3*v + 2*v.
-8*v**2
Collect the terms in 10572 - 3*n - 21154 + 10582.
-3*n
Collect the terms in -11*r**3 - 4*r**2 + 4*r**2 + 18*r**3.
7*r**3
Collect the terms in -30*y + 13*y + 20*y + 1 - 1.
3*y
Collect the terms in -1 + 2 - t + 4*t + 34.
3*t + 35
Collect the terms in 4*u**2 + 5*u - 5*u - 6 + 11.
4*u**2 + 5
Collect the terms in -22*z + 0*z - 30*z.
-52*z
Collect the terms in -4 + 1 + 3 - 24*k**2.
-24*k**2
Collect the t
|
{
"pile_set_name": "DM Mathematics"
}
|
5).
11
Let x(v) = -v - 43. What is x(-34)?
-9
Let z(w) = w**3 - 7*w**2 + 6. Give z(6).
-30
Let h(j) = j**3 + 6*j**2 + j + 9. Calculate h(-6).
3
Let s(h) = h**3 + 2*h**2 - 4*h - 4. What is s(-3)?
-1
Let v(k) = -2*k**2 + 11*k + 64. Give v(10).
-26
Let z(v) = v**2 + 27*v - 50. Determine z(2).
8
Let f(u) = 3*u**2 + 7*u + 3. Give f(-5).
43
Let b(j) = j**3 + 13*j**2 + 12*j + 11. What is b(-12)?
11
Let t(z) = -z**2 - 14*z - 37. Determine t(-7).
12
Let m(j) = j**3 + 3*j**2 + j + 5. Give m(0).
5
Let p(z) = z**3 - 10*z**2 + 10*z + 7. What is p(9)?
16
Let u(s) = -s**2 + 8*s - 3. Calculate u(2).
9
Let r(n) = n**2. Determine r(0).
0
Let c(q) = -41*q + 160. Calculate c(4).
-4
Let i(o) = -117*o - 2455. Determine i(-21).
2
Let w(z) = z**3 - 6*z**2 + 6*z - 5. Give w(4).
-13
Let s(g) = g**3 + 8*g**2 - 3*g - 14. Calculate s(-8).
10
Let z(g) = g**3 - 6*g**2 + 3*g - 5. Give z(5).
-15
Let n(a) = -2*a**2 - a + 7. Give n(2).
-3
Let n(j) = j**3 - 6*j**2 - 10*j + 6. Give n(7).
-15
Let z(b) = -b**3 + 6*b**2 - 5*b + 4. Determine z(4).
16
Let r(k) = 4*k**3 - 10*k**2 - 2*k + 2. Determine r(3).
14
Let g(w) = 20*w - 18. Determine g(-6).
-138
Let f(t) = -t**2 - 13*t + 21. Calculate f(-13).
21
Let n(m) = -m**2 - 9*m - 5. What is n(-13)?
-57
Let q(i) = -36*i**2 + 2. Give q(1).
-34
Let g(r) = 32*r - 1. What is g(-1)?
-33
Let o(g) = -g**3 - 9*g**2 - 20*g - 14. Calculate o(-6).
-2
Let p(d) = 19*d**2 - 2*d - 1. Calculate p(-1).
20
Let a(i) = -9*i. Give a(1).
-9
Let k(g) = g - 45. Give k(23).
-22
Let g(u) = u - 4. What is g(8)?
4
Let h(r) = -r**3 - 10*r**2 - 6*r + 4. Give h(-9).
-23
Let y(c) = c**3 + 27*c**2 - 30*c - 57. Determine y(-28).
-1
Let g(v) = -v**2 - 4*v + 15. Give g(-8).
-17
Let n(p) = 14*p + 1. Give n(-1).
-13
Let v(r) = r**3 - 14*r**2 - 31*r + 12. Determine v(16).
28
Let f(k) = -k - 35. What is f(-19)?
-16
Let f(l) = -l**3 - 8*l**2 - 7*l - 8. What is f(-7)?
-8
Let c(i) = -13*i**2 - 2*i - 3. Determine c(2).
-59
Let m(t) = -t - 20. What is m(-9)?
-11
Let r(z) = z**2 - 6*z - 7. Calculate r(-5).
48
Let y(w) = 2*w + 9. Determine y(7).
23
Let m(i) = -11*i - 13. Determine m(-7).
64
Let r(v) = v**3 + 3*v**2 - 10*v + 3. What is r(-5)?
3
Let q(d) = d**3 - 3*d**2 - 24*d + 1. Determine q(7).
29
Let g(d) = d**2 - 10*d + 7. Determine g(9).
-2
Let h(w) = -w**2 - 29*w - 106. What is h(-25)?
-6
Let c(g) = -6*g - 38. Give c(-16).
58
Let v(u) = -6*u - 181. Give v(-30).
-1
Let i(h) = 3*h - 45. Calculate i(14).
-3
Let l(a) = -2*a**3 - 3*a**2 - a + 2. Calculate l(-2).
8
Let v(z) = -13*z**2 - 3*z - 4. What is v(-1)?
-14
Let b(u) = u**2 + 4*u + 1. Give b(-3).
-2
Let o(j) = 3*j + 34. Give o(-11).
1
Let x(p) = p**2 - 21*p - 37. What is x(13)?
-141
Let c(i) = 6*i**3 - 3*i**2 + 2*i - 1. Calculate c(1).
4
Let f(w) = w**2 + 24*w + 1. Give f(-24).
1
Let n(g) = 6*g**2 + 7*g + 6. Determine n(-1).
5
Let q(z) = z**2 + 26*z + 93. Calculate q(-19).
-40
Let f(m) = -11*m**2 + m + 1. What is f(-1)?
-11
Let u(a) = 5*a + 6. What is u(-5)?
-19
Let o(y) = 8*y**3 + 2*y**2 - 1. Give o(-1).
-7
Let v(t) = -t + 3. Give v(3).
0
Let v(l) = l**3 - 24*l**2 - 26*l + 29. Calculate v(25).
4
Let n(u) = -u**3 + 5*u**2 + 7*u + 5. Calculate n(6).
11
Let g(j) = -2*j**3 + 18*j**2 - 31*j + 124. Determine g(8).
4
Let y(x) = x**2 + 14*x + 2. Determine y(-14).
2
Let g(i) = 2*i**2 - i - 1. Calculate g(-3).
20
Let y(n) = 2*n**2 + 3*n. Give y(-4).
20
Let o(m) = 19*m + 50. Give o(-2).
12
Let m(o) = 11*o + 4. Calculate m(-5).
-51
Let m(h) = -h**2 + 9*h - 15. Calculate m(7).
-1
Let x(k) = -k**2 - 4*k - 5. Give x(-2).
-1
Let r(m) = -m**3 - m**2 - 49. Calculate r(0).
-49
Let w(s) = -4*s + 44. What is w(11)?
0
Let p(x) = 24*x + 308. What is p(-13)?
-4
Let l(z) = -8*z**3 + 39*z**2 + 3*z - 12. Give l(5).
-22
Let q(u) = u**3 - 4*u**2 + 4*u - 48. Give q(5).
-3
Let b(m) = m**2 - 3*m + 3. Determine b(-5).
43
Let r(b) = 3*b**2 - 5*b + 5. Calculate r(6).
83
Let c(q) = 3*q + 3. Determine c(2).
9
Let h(w) = w**3 - 2*w**2 + 1. Give h(1).
0
Let v(q) = 2*q**3 - 13*q**2 - 10*q + 3. Calculate v(7).
-18
Let y(r) = -r + 14. What is y(0)?
14
Let c(a) = a**3 - 14*a**2 - 14*a - 21. Give c(15).
-6
Let d(l) = 3*l - 20. Give d(8).
4
Let j(p) = -p**2 - 65*p - 343. Calculate j(-59).
11
Let d(k) = -k**2 + 5*k + 5. What is d(6)?
-1
Let a(r) = 55*r**2 + 661*r + 12. Determine a(-12).
0
Let o(u) = 108*u - 643. Calculate o(6).
5
Let j(z) = z**2 - 2*z - 13. Calculate j(4).
-5
Let c(j) = -j**2 - 9*j - 12. Give c(-9).
-12
Let g(p) = -p**3 + 11*p**2 - 13*p - 2. Determine g(9).
43
Let y(k) = 2*k - 10. What is y(4)?
-2
Let f(l) = l**2 + 9*l + 13. Determine f(-6).
-5
Let i(o) = 35*o - 212. What is i(6)?
-2
Let u(x) = -x**3 + 9*x**2 + 4*x - 2. Give u(9).
34
Let l(k) = -k**3 - 5*k**2 + 8. Give l(-3).
-10
Let r(k) = k**3 - 23*k**2 + 22*k - 2. Calculate r(22).
-2
Let h(g) = -g**3 + 10*g**2 - 18*g + 13. What is h(8)?
-3
Let g(x) = -x**3 - 2*x - 5. What is g(0)?
-5
Let p(m) = -m**3 - 15*m**2 - 14*m - 10. Give p(-14).
-10
Let w(k) = k**2 - 18*k + 24. Determine w(16).
-8
Let o(c) = -8*c + 200. What is o(25)?
0
Let a(o) = 86*o - 420. Determine a(5).
10
Let u(w) = -w**3 - 8*w**2 - w - 19. Calculate u(-8).
-11
Let p(f) = 7*f - 1. Determine p(2).
13
Let o(q) = -6*q**2 - 2. What is o(1)?
-8
Let u(b) = -b + 2. Calculate u(6).
-4
Let f(u) = -12*u + 58. Determine f(12).
-86
Let k(a) = 2*a**2 + 18*a + 20. Calculate k(-7).
-8
Let x(q) = 26*q**3 - 3*q**2 + 4*q - 2. Calculate x(1).
25
Let m(s) = 17*s**2 + 3*s + 4. Calculate m(-3).
148
Let i(q) = q**3 - 6*q**2 - 8. Calculate i(5).
-33
Let r(o) = o**3 + 9*o**2 + 7*o + 2. Determine r(-6).
68
Let g(i) = i**3 - 8*i**2 + i + 65. What is g(5)?
-5
Let l(x) = 2*x**3 + 48*x**2 - 51*x - 30. What is l(-25)?
-5
Let v(z) = -105*z + 1. Give v(1).
-104
Let l(f) = f - 26. Give l(27).
1
Let b(i) = -3*i**2 + 10*i + 23. Determine b(7).
-54
Let x(u) = -3*u**2 - 2*u + 2. What is x(-3)?
-19
Let v(p) = 91*p**3. Give v(1).
91
Let o(g) = 2*g**2 + 8*g - 1. Calculate o(-6).
23
Let v(f) = f**2 - 14*f - 33. Give v(16).
-1
Let l(d) = -d**2 - 5*d + 4. Calculate l(-6).
-2
Let k(l) = -12*l + 98. Give k(8).
2
Let z(x) = x + 49. What is z(18)?
67
Let w(q) = q**3 + 15*q**2 + 13*q - 6. What is w(-14)?
8
Let s(q) = q**3 + 3*q**2 - 3*q - 3. Give s(-4).
-7
Let o(q) = -q**3 - 18*q**2 + 18*q - 8. Determine o(-19).
11
Let x(z) = z**2 - 11*z - 4. Determine x(11).
-4
Let q(p) = -6*p**2 - 12*p + 21. Give q(2).
-27
Let g(w) = w**3 + w**2 + 4*w + 3. Calculate g(-2).
-9
Let y(a) = -2*a**2 + 34*a + 26. Determine y(18).
-10
Let q(c) = -6*c + 48. Calculate q(6).
12
Let v(w) = -4*w**3 - 3*w**2 + 3*w - 5. Give v(2).
-43
Let k(v) = 2*v**2 + 12*v + 9. Determine k(-8).
41
Let z(p) = -22*p**3 - p**2 - p + 3. Calculate z(1).
-21
Let m(x) = 4*x - 25. Calculate m(6).
-1
Let y(z) = -z**3 - 9*z**2 - 2. Determine y(-9).
-2
Let p(u) = -u**2 + 2*u + 15. Determine p(5).
0
Let x(y) = -10*y**3 + y**2. Determine x(1).
-9
Let f(n) = -6*n - 148. What is f(-26)?
8
Let q(i) = -14*i - 53. Give q(-4).
3
Let m(n) = -n**3 + 12*n**2 - 12*n + 14. Determine m(11).
3
Let c(u) = u**3 + 5*u**2 - 3*u + 19. Determine c(-6).
1
Let z(w) = 3*w - 28. Calculate z(19).
29
Let n(j) = j**3 + 27*j**2 - 25*j + 70. What is n(-28)?
-14
Let i(r) = -31*r + 202. Give i(8).
-46
Let c(a) = -a**3 + 14*a**2 - 24*a + 11. Calculate c(12).
11
Let a(m) = m**3 + 5*m**2 + m - 9. Determine a(-4).
3
Let y(z) = z**3 + 4*z**2 - 1. What is y(-3)?
8
Let g(c) = -c**2 - 7*c + 1. Calculate g(-5).
11
Let f(d) = d**2 - 9*d + 2. Give f(6).
-16
Let c(d) = -d**2 + 13*d + 14. Determine c(14).
0
Let l(f) = f**2 - 24. What is l(0)?
-24
Let z(x) = 12*x - 88. Give z(7).
-4
Let l(y) = 3*y**2 - 2*y. What is l(2)?
8
Let h(m) = m**2 - 10*m - 20. Give h(12).
4
Let a(i) = 11*i - 100. Determine a(9).
-1
Let t(y) = y**3 - 2*y**2 - 5*y - 3. Determine t(-3).
-33
Let o(i) = -i**3 + 9*i**2 - 13*i. Calculate o(7).
7
Let g(u) = -2*u - 26. Give g(-10).
-6
Let x(r) = -r**2 - 10*r - 4. Determine x(-10).
-4
Let h(t) = -9*t**3 - 2*t**2 + t + 2. Calculate h(-2).
64
Let a(r) = r**3 - 3*r**2 + 3*r + 5. Give a(4).
33
Let n(j) = -9*j + 39. What is n(10)?
-51
Let l(i) = 2*i**3 - 3*i + 5. What is l(2)?
15
Let r(a) = -6*a + 2. Calculate r(-9).
56
Let u(a) = -41*a + 305. Determine u(8).
-23
Let f(g) = g**3 - g**2 - 3*g + 4. Determine f(3).
13
Let u(x) = 6*x**2 + x + 13. What is u(-4)?
105
Let w(c) = c
|
{
"pile_set_name": "DM Mathematics"
}
|
304, 1098?
-15*b**2 - 41*b + 1884
What is the q'th term of 19137, 22370, 25603, 28836, 32069?
3233*q + 15904
What is the w'th term of -24746, -23423, -22100, -20777, -19454?
1323*w - 26069
What is the q'th term of -1607604425, -1607604423, -1607604421?
2*q - 1607604427
What is the r'th term of 3965383, 3965388, 3965395, 3965404?
r**2 + 2*r + 3965380
What is the r'th term of 1917790, 3835583, 5753376, 7671169, 9588962, 11506755?
1917793*r - 3
What is the v'th term of 128176, 256361, 384556, 512761, 640976, 769201, 897436?
5*v**2 + 128170*v + 1
What is the i'th term of 155096610, 310193221, 465289832, 620386443?
155096611*i - 1
What is the w'th term of 667389, 669670, 671951, 674232, 676513, 678794?
2281*w + 665108
What is the n'th term of -998, -2821, -5470, -8945?
-413*n**2 - 584*n - 1
What is the s'th term of -62, 62, 650, 1936, 4154?
39*s**3 - 2*s**2 - 143*s + 44
What is the m'th term of -314120, -314691, -315262?
-571*m - 313549
What is the w'th term of 5766, 5715, 5636, 5523, 5370?
-w**3 - 8*w**2 - 20*w + 5795
What is the r'th term of 48455, 96622, 144793, 192974, 241171, 289390?
r**3 - 4*r**2 + 48172*r + 286
What is the a'th term of 253594, 253584, 253572, 253558, 253542, 253524?
-a**2 - 7*a + 253602
What is the g'th term of -112305, -448650, -1009215, -1793994, -2802981, -4036170, -5493555, -7175130?
g**3 - 112116*g**2 - 4*g - 186
What is the c'th term of 833724887, 1667449773, 2501174659?
833724886*c + 1
What is the m'th term of -135300, -270573, -405840, -541095, -676332, -811545, -946728, -1081875?
m**3 - 3*m**2 - 135271*m - 27
What is the i'th term of -24821, -49712, -74603, -99494, -124385, -149276?
-24891*i + 70
What is the g'th term of -140811, -140903, -141055, -141267, -141539, -141871?
-30*g**2 - 2*g - 140779
What is the h'th term of -175722, -351408, -527094?
-175686*h - 36
What is the x'th term of -97496, -97488, -97470, -97442?
5*x**2 - 7*x - 97494
What is the g'th term of -171081936, -171081937, -171081938?
-g - 171081935
What is the i'th term of 1116, 1210, 1186, 984, 544, -194, -1290, -2804?
-10*i**3 + i**2 + 161*i + 964
What is the w'th term of -1991172, -3982347, -5973522, -7964697, -9955872, -11947047?
-1991175*w + 3
What is the q'th term of 9006, 19570, 30134?
10564*q - 1558
What is the f'th term of 20288801, 40577598, 60866395, 81155192, 101443989, 121732786?
20288797*f + 4
What is the h'th term of -23451, -23416, -23381, -23346, -23311?
35*h - 23486
What is the k'th term of 7259, 16092, 24925, 33758, 42591, 51424?
8833*k - 1574
What is the s'th term of 2031673, 4063168, 6094653, 8126122, 10157569, 12188988, 14220373, 16251718?
-s**3 + s**2 + 2031499*s + 174
What is the w'th term of -5382, -4861, -4318, -3747, -3142, -2497, -1806?
w**3 + 5*w**2 + 499*w - 5887
What is the j'th term of -3645, -6859, -10071, -13281?
j**2 - 3217*j - 429
What is the i'th term of -13839, -27096, -40353, -53610, -66867, -80124?
-13257*i - 582
What is the t'th term of -2031, -5760, -9489, -13218, -16947?
-3729*t + 1698
What is the c'th term of -508, -3889, -12948, -30487, -59308, -102213?
-467*c**3 - 37*c**2 - c - 3
What is the r'th term of 1251033, 1251020, 1251007, 1250994, 1250981, 1250968?
-13*r + 1251046
What is the d'th term of 247, -1970, -5719, -11000?
-766*d**2 + 81*d + 932
What is the w'th term of 19985875, 19985876, 19985879, 19985884?
w**2 - 2*w + 19985876
What is the w'th term of -694347, -694323, -694289, -694251, -694215, -694187, -694173, -694179?
-w**3 + 11*w**2 - 2*w - 694355
What is the n'th term of -3381392, -3381422, -3381470, -3381536, -3381620, -3381722, -3381842?
-9*n**2 - 3*n - 3381380
What is the l'th term of -150363, -300679, -450995, -601311, -751627?
-150316*l - 47
What is the f'th term of -1481, -1449, -1387, -1283, -1125?
2*f**3 + 3*f**2 + 9*f - 1495
What is the s'th term of -180506, -180632, -180768, -180920, -181094, -181296, -181532, -181808?
-s**3 + s**2 - 122*s - 180384
What is the c'th term of -7561, -7233, -6927, -6655, -6429?
-2*c**3 + c**2 + 339*c - 7899
What is the s'th term of 147058112, 147058111, 147058110, 147058109?
-s + 147058113
What is the p'th term of -41851, -83634, -125351, -167002, -208587, -250106, -291559?
33*p**2 - 41882*p - 2
What is the x'th term of -1281499, -1281563, -1281671, -1281823, -1282019, -1282259, -1282543?
-22*x**2 + 2*x - 1281479
What is the n'th term of 38625, 38456, 38287, 38118, 37949, 37780?
-169*n + 38794
What is the i'th term of 1122972, 2245945, 3368922, 4491903, 5614888, 6737877?
2*i**2 + 1122967*i + 3
What is the j'th term of -90425, -361687, -813789, -1446731, -2260513, -3255135, -4430597?
-90420*j**2 - 2*j - 3
What is the x'th term of -269021, -269218, -269415?
-197*x - 268824
What is the y'th term of 131927959, 131927958, 131927957, 131927956, 131927955, 131927954?
-y + 131927960
What is the n'th term of -6634202, -13268416, -19902630, -26536844?
-6634214*n + 12
What is the n'th term of 347946, 2784024, 9396200, 22272522, 43501038?
348008*n**3 + n**2 + 19*n - 82
What is the j'th term of 1220421, 1220440, 1220495, 1220604, 1220785, 1221056, 1221435?
3*j**3 - 2*j + 1220420
What is the c'th term of -2783, -5643, -8589, -11639, -14811, -18123?
-3*c**3 - 25*c**2 - 2764*c + 9
What is the a'th term of 7866258, 7866239, 7866220?
-19*a + 7866277
What is the w'th term of 208556, 208476, 208398, 208322, 208248?
w**2 - 83*w + 208638
What is the b'th term of 19414, 38852, 58312, 77794, 97298, 116824, 136372?
11*b**2 + 19405*b - 2
What is the t'th term of -32946, -32957, -32976, -33003, -33038?
-4*t**2 + t - 32943
What is the l'th term of -50626, -101307, -151988, -202669, -253350, -304031?
-50681*l + 55
What is the f'th term of 430, 378, 286, 130, -114, -470, -962, -1614?
-4*f**3 + 4*f**2 - 36*f + 466
What is the y'th term of 241, 40, -339, -890, -1607, -2484, -3515?
y**3 - 95*y**2 + 77*y + 258
What is the z'th term of 10195, 40807, 91837, 163279, 255127, 367375, 500017, 653047?
-z**3 + 10215*z**2 - 26*z + 7
What is the b'th term of 1064437, 1064439, 1064443, 1064449, 1064457?
b**2 - b + 1064437
What is the l'th term of 892382, 1784781, 2677194, 3569621?
7*l**2 + 892378*l - 3
What is the d'th term of -28079, -29776, -32605, -36566, -41659, -47884?
-566*d**2 + d - 27514
What is the q'th term of -15986, -15946, -15878, -15782?
14*q**2 - 2*q - 15998
What is the i'th term of 186576, 186535, 186462, 186357, 186220?
-16*i**2 + 7*i + 186585
What is the q'th term of 2798201, 5596405, 8394609, 11192813?
2798204*q - 3
What is the p'th term of -316429457, -316429456, -316429455, -316429454?
p - 316429458
What is the w'th term of -20725, -82952, -186665, -331864?
-20743*w**2 + 2*w + 16
What is the k'th term of 16411, 15628, 14843, 14056, 13267, 12476?
-k**2 - 780*k + 17192
What is the z'th term of -739, -304, 993, 3590, 7925, 14436, 23561, 35738?
73*z**3 - 7*z**2 - 55*z - 750
What is the l'th term of -206, -713, -1626, -2969, -4766?
-4*l**3 - 179*l**2 + 58*l - 81
What is the f'th term of -2625, -8221, -17057, -29127, -44425, -62945, -84681?
f**3 - 1626*f**2 - 725*f - 275
What is the s'th term of 37013, 36581, 36135, 35669, 35177, 34653?
-s**3 - s**2 - 422*s + 37437
What is the x'th term of -603500081, -603500079, -603500077, -603500075, -603500073?
2*x - 603500083
What is the y'th term of 142266, 133586, 124908, 116232, 107558?
y**2 - 8683*y + 150948
What is the o'th term of -30705593, -30705599, -30705619, -30705659, -30705725, -30705823, -30705959?
-o**3 - o**2 + 4*o - 30705595
What is the f'th term of 46558, 93078, 139556, 185992, 232386?
-21*f**2 + 46583*f - 4
What is the r'th term of 145, 184, 207, 178, 61, -180, -581?
-6*r**3 + 28*r**2 - 3*r + 126
What is the a'th term of 50076, 50018, 49960, 49902?
-58*a + 50134
What is the k'th term of 204560597, 409121195, 613681793, 818242391, 1022802989?
204560598*k - 1
What is the z'th term of -31991, -31930, -31771, -31466, -30967, -30226, -29195?
8*z**3 + z**2 + 2*z - 32002
What is the b'th term of 6333383, 6333374, 6333359, 6333338, 6333311, 6333278, 6333239?
-3*b**2 + 6333386
What is the s'th term of 119483, 119477, 119463, 119435, 119387?
-s**3 + 2*s**2 - 5*s + 119487
What is the r'th term of 36573167, 73146334, 109719501, 146292668, 182865835, 219439002?
36573167*r
What is the p'th term of 38603755, 38603759, 38603765, 38603773,
|
{
"pile_set_name": "DM Mathematics"
}
|
*3/3 - 3*k - 14. Determine c(-2).
12
Let v(m) = -2*m + 6 + 2*m - 2*m + 0*m. Suppose -13*r + 12*r - 2 = 0. Let y = 8 + r. What is v(y)?
-6
Let n(b) = 8*b**2 - 10*b + 12. Let k(u) = 19*u**2 - 18*u + 25. Let y(p) = -2*k(p) + 5*n(p). What is y(7)?
10
Let f(d) = -4*d + 57. Let c(b) = -8*b + 110. Let k(z) = 6*c(z) - 11*f(z). Calculate k(8).
1
Let v be (5 - (-10)/(-6))*-3. Let i(h) = h**3 + 11*h**2 + 12*h + 12. What is i(v)?
-8
Let t(a) = -2*a**2 - 6*a + 10. Let g be ((-63)/14)/(-1 - (-28)/16). What is t(g)?
-26
Let p(a) = -2*a. Let u be 1/(-1)*(17 - 17). Suppose u = 20*b - 22*b + 2. What is p(b)?
-2
Let n(l) = l - 2. Suppose -3*t - 2*z + 6 + 9 = 0, 0 = -3*z. Suppose 2*s - v + 2 = 3*s, -v = t*s - 10. What is n(s)?
0
Let j(i) = -i**2 + 6*i + 6. Let h = 56 + 87. Let f = -137 + h. Give j(f).
6
Let q(n) = n**3 - 7*n**2 + 6*n + 11. Suppose 4242*y - 4251*y + 54 = 0. Calculate q(y).
11
Let h(y) = -y**3 - 6*y**2 - 5*y - 8. Suppose -37*r - 12 = -36*r + 3*l, -r + 3*l = 0. What is h(r)?
22
Let o(t) = 582 + t**3 - 1165 - t + 572 + 9*t**2. Calculate o(-9).
-2
Suppose -106*m - 96 = -94*m. Let z(w) = w**3 + 9*w**2 + 5*w - 16. Give z(m).
8
Let r(u) be the third derivative of -u**4/12 - u**3/3 - 3*u**2. Let j be r(2). Let n(q) = q. Let v(b) = -2*b + 8. Let w(z) = 3*n(z) + v(z). Calculate w(j).
2
Suppose -x = -2*x + 7. Let v = -5 + x. Suppose 4*m = -2*w - 0*w + 14, -v*m + 8 = 2*w. Let u(b) = 4*b**3 + b**2. What is u(w)?
5
Let k be (-30)/(-42) + (2/7 - 0). Let i(f) = 2*f - 11*f + 7*f + k. Calculate i(3).
-5
Let n be 4*4/(48/(-15)). Let t(h) = -h - 9*h + 7*h - 8 + 2*h. Give t(n).
-3
Let f(c) = -c - 1. Let u(h) be the third derivative of -5*h**4/4 - 9*h**3/2 - 14*h**2. Let d(y) = 108*f(y) - 4*u(y). Calculate d(-1).
-12
Let l be 2 - ((20/32)/5 + 385/56). Let b(f) be the third derivative of f**6/120 + f**5/15 - f**4/6 + f**3/6 + f**2. Determine b(l).
-4
Let v(z) be the third derivative of -z**4/24 + z**3/2 + 2*z**2. Let n be v(-6). Suppose -4*j = 7 + n. Let d(p) = p**3 + 4*p**2 - 3*p - 2. Give d(j).
10
Let s(k) = k**3 - k**2 - 10*k**2 - 18 - 2*k**3 - k + 5. Let r be s(-11). Let x(j) = 6 + j + 4*j**2 - 3*j**2 - 6. Determine x(r).
2
Let a(d) be the first derivative of d**2/2 - 11*d + 8. Suppose 3*l - 4*j - 11 = 0, -3*j = 4*l + 2*j - 25. Calculate a(l).
-6
Let o(f) be the third derivative of f**8/20160 + f**7/5040 - f**6/720 - 7*f**5/30 + 6*f**2. Let b(u) be the third derivative of o(u). What is b(-3)?
5
Let z be -2 + 10 - 40/8. Let v(n) = 15 + 6*n - 13 + 0 - z. Give v(1).
5
Suppose 3*i = -2*i - 20. Let x(y) = 14*y + 12. Let h(f) = 6*f + 5. Let b(o) = 12*h(o) - 5*x(o). Calculate b(i).
-8
Let u(k) be the second derivative of k**4/12 + k**3 - k**2 + k. Let w be -9 + 1 + (82 - 80) - (-1 - -1). Determine u(w).
-2
Let p be ((-4)/10)/((-2)/30). Suppose -3*a = -9 - p. Let v(h) = h + 5. Give v(a).
10
Let n(y) = 5*y - 3. Suppose 4*u = 4*g + 4, 5 = -2*u - 3*u + 3*g. Give n(u).
-23
Let d(p) = -2*p + 13. Let c = 160 + -130. Suppose 7*t = 12 + c. What is d(t)?
1
Let p(d) = -10 + 59*d - 7*d**2 + d**3 - 30*d - 30*d. Give p(7).
-17
Let g(u) = 6*u + 3. Let z be g(6). Suppose 2*w - 1 - z = 0. Suppose 2*k = 6*k + w. Let o(d) = d**3 + 6*d**2 + 4*d - 7. Calculate o(k).
-2
Let s(v) = -3*v**3 + 4*v**2 - 2*v. Suppose -6*l - k + 25 = -2*l, -5*l - 5*k + 35 = 0. Suppose -8*o - l = -22. What is s(o)?
-12
Let z be -1 - (-8 - (3 + -3)). Let m(c) = 10*c + 7*c**2 - c**3 - z*c - 10*c - 3. Let s = 0 - -6. Give m(s).
-9
Let o(a) = 2*a + 1. Let n(l) = -l - 1. Let k(r) = 5*r + 5. Let q(g) = k(g) + 4*n(g). Let h(m) = -o(m) + 3*q(m). Determine h(-4).
-2
Let l(k) = -2*k - 7. Let t = 105 + -93. Let p = t + -19. What is l(p)?
7
Let s(z) = -13*z**3 - 3*z**2 - z + 2. Let b(u) = -7*u**3 - 2*u**2 - u + 1. Let r(v) = 11*b(v) - 6*s(v). Let j = 23 + -24. Let t be j/(-3*4/60). Give r(t).
-1
Let m(h) = h - 12. Suppose -19*k + 99 = 4. What is m(k)?
-7
Let o(t) = -7*t - 198. Let a(u) = 2*u + 67. Let n(l) = -11*a(l) - 4*o(l). Determine n(-8).
7
Let f(p) = -3*p**2 - 7*p + 17. Let o be f(4). Let n = -57 - o. Let y(z) be the third derivative of z**4/24 - z**2. Give y(n).
2
Let z be -1 + 16 - (-616)/(-88). Let d(q) be the first derivative of q**3/3 - 3*q**2 - 7*q - 3. What is d(z)?
9
Let t(u) = -u + 6. Suppose 4*a - 2*s = 270, 0*a + 245 = 4*a + 3*s. Let r = -56 + a. Determine t(r).
-3
Let i(r) be the third derivative of r**5/60 + r**4/24 + r**3/6 + 37*r**2. Let w(n) = -n**3 + 6*n**2 - n + 6. Let d be w(6). Calculate i(d).
1
Suppose -16*v + 24 + 8 = 0. Let l(d) be the first derivative of -5/2*d**v - d - 8 - 1/3*d**3. What is l(-5)?
-1
Let v(a) be the first derivative of -a**4/4 - 4*a**3/3 + a**2/2 - 5*a - 82. What is v(-4)?
-9
Let f(l) be the first derivative of 3*l**2 - l - 2. Suppose 77*t - b = 75*t - 8, -2*t - 3*b = -8. Give f(t).
-13
Let p(h) be the third derivative of 0*h + 0 - 7/6*h**3 + 8*h**2 - 1/24*h**4. What is p(-3)?
-4
Let r(l) = -l**3 + 2*l**2 + 9*l + 3. Suppose 145 = 24*o + 49. Give r(o).
7
Let u(l) = -l**3 - 6*l**2 - 5*l + 4. Let o = 175 - 179. Determine u(o).
-8
Suppose 4*t = t + 147. Let a = -54 + t. Let g(i) = i**3 + 4*i**2 - 6*i - 3. Determine g(a).
2
Let y(u) = -u**2 - 11*u + 1. Suppose 2*j = j - 5*v - 31, 5*j - v = -25. What is y(j)?
31
Let t = 42 + -42. Let p(c) = -2 + t + 1 + 2*c - c**3 + c**2 + 2. Calculate p(-1).
1
Let p(f) be the second derivative of f**3/6 + 9*f**2/2 + 238*f. Let y(i) = -i**3 - i**2. Let x be y(-1). Determine p(x).
9
Let c(v) be the third derivative of v**4/24 - 4*v**3/3 - 28*v**2. Let n = 3 + 3. Give c(n).
-2
Suppose 0*m = 5*m + 5. Let t(q) be the second derivative of -3*q**4/4 + 7*q - 8. Calculate t(m).
-9
Let m = -210 + 204. Let o(p) = -5*p**3 + 13*p**2 + 6*p - 7. Let t(h) = 4*h**3 - 12*h**2 - 6*h + 6. Let r(g) = 5*o(g) + 6*t(g). What is r(m)?
1
Let b be (-1)/5 + 52/10. Suppose -5*f + 7 = y, -b*f - 2*y = 3*y + 5. Let v(h) = -1 + 0 + h**2 + h**3 + h - 3*h**2. Give v(f).
1
Let t(i) = i**2 + 3*i - 3. Let h(b) = -b**3 + 18*b**2 + 40*b - 4. Let r be h(20). Determine t(r).
1
Let j(g) = g**2 + 74. Suppose 2*w + 0*w - 3*v = -2*w, -2*v = 0. Determine j(w).
74
Let l(g) = -g**2 + 10*g - 9. Let a(z) = 40*z + 410. Let o be a(-10). What is l(o)?
-9
Let g(u) = u**3 - 9*u**2 - 8*u - 11. Let y = -263 + 273. Calculate g(y).
9
Let y(z) = -2*z**3 + 11*z**2 - 6*z + 11. Let t be y(5). Let b(d) = -d**2 + 10*d - 18. Determine b(t).
6
Let o(a) be the third derivative of -a**6/120 + a**5/15 + 10*a**2. Let j be o(4). Let b(y) = y**3 + y - 5. Determine b(j).
-5
Let c(p) = -p**2 - 8*p + 13. Let w be 2 + -8 + -7 + 15/5. Determine c(w).
-7
Let p(h) = 15 - 19*h + 41*h - 5 - 21*h + 6. What is p(-9)?
7
Let o(b) = 12*b**2 - 9*b - 15. Let f(t) = 5*t**2 - 5*t - 7. Let s(u) = -7*f(u) + 3*o(u). Let l = -12 + 6. Give s(l).
-8
Let s = 4 + -5. Let w(z) be the second derivative of z**3/6 + z**2/2 + z. Let b(k) = -5*k - 1. Let i(f) = -b(f) - 2*w(f). Give i(s).
-4
Let n = 128 + -118. Let j(y) = -2*y + 20. Determine j(n).
0
Let w(l) = l**2 + 5*l + 6. Let n be 4 + -8 + -1 - -6. Suppose -n - 6 = s. Calculate w(s).
20
Let q(g) = 4*g**3 - 11*g**2 - 5*g - 5. Let a(v) = 3*v**3 - 10*v**2 - 5*v - 5. Let p(h) = 5*a(h) - 4*q(h). Determine p(-5).
-5
Let b(t) = t**3 + 11*t**2 - 12*t - 9. Suppose 213*r - 212*r + 12 = 0. What is b(r)?
-9
Let n(l) = 2*l**2 - 2. Let s = -1 - 0. Let o be n(s). Let p(d) = -d**2 - 3. Give p(o).
-3
Let d be ((-7)/21)/((-1)/18). Let j be (d + -5)/(3/12). Let u(i) = i**3 - 3*i**2 - i - 3. Give u(j).
9
Let d(u) = -2*u - 1. Let b be 35*-3 - (-5 - 1 - -3). Let g = 106 + b. Determine d(g).
-9
Let s(o) = -o**3 - 3*o**2 + 2*o + 2. Let q be 18/(-1 + -2)*(-8)/(-16). What is s(q)?
-4
Suppose 4*w + 2*m = -0*m + 4, -2*m = 5*w - 6. Let y(r) = -13*r + 3*r**2 + 17 + 1 - w*r**2 + 0*r. Let a be y(12). Let s(j) = j**3 - 6*j**2 + j - 2. Give s(a).
4
Let y(x) = -8*x + 6. Suppose j = 4 - 14. Let u be (j - (-35)/5)/(3/(-4)). Determine y(u).
-26
Suppose 2*w - 4*n = 272, 2*w + 2*n = 7*w - 704. Let u = -147 + w. Let k(q) = -q**2 - 3*q**2 + q**2 + 7*q - q**3 - 1. What is k(u)?
14
Let p(b) be the third derivative of -b**4/12 - 39*b**2. Give p(10).
-20
Let b(i) be the third derivative of -i**5/60 - i**4/4 - i**3/2 + i**2. Suppose 5*y - 17 = -3*z, 2*y - 6*y + 2*z + 18 = 0. Suppose 2*n = -y - 6. Give b(n).
2
Suppose -3*n + 3 + 3 = 0. Let f(k) =
|
{
"pile_set_name": "DM Mathematics"
}
|
ch is the closest to s? (a) -2/9 (b) f (c) y
c
Let d = -2969 - -2970. Let x = -0.5 + 0.5. What is the closest to d in 2/13, -2, x?
2/13
Let y be 60/(-27) - -1 - (160/(-90))/8. Which is the closest to -12/5? (a) 0.2 (b) 0.1 (c) y (d) -2/7
c
Let r = -1 + 1.1. Let v = 1.4847 + -0.4847. Which is the closest to 9/5? (a) v (b) 5 (c) r
a
Let i = -1157/4 + 291. Let r = -2.96405 - 0.03595. Which is the nearest to 2/7? (a) 3 (b) i (c) r
b
Let l be 5/2*(15 + -14)*4/30. What is the nearest to 5/8 in 3, l, 2?
l
Let r = 4.3 - 4.1. Let a = 0.237 + 0.763. What is the closest to 1 in -1, r, a?
a
Let r = 0.22 + 0.08. Let o = r - 0.4. Suppose 2*i - 31 = -5*h, i - 10*h - 33 = -15*h. What is the closest to -1/4 in i, o, -18?
o
Suppose -2*l - v = l + 14, -30 = 3*l - 3*v. Let h be (-16)/42 - 4/l. Which is the nearest to h? (a) 0.5 (b) 1/7 (c) -1/2
b
Let h = 6445 + -6444. What is the closest to h in -1/3, 3, -2/273, -0.2?
-2/273
Let v = -3.7 - -89.7. Let f = v - 46. Let p = f + -40.5. Which is the closest to -6? (a) p (b) -4 (c) 2
b
Let s be 15/((-225)/51) + 4. What is the closest to -0.1 in s, -19/8, 1, -2/7?
-2/7
Let r be (-1)/((-203)/58 + 44/15). Which is the closest to -12? (a) r (b) 1/3 (c) 2/7 (d) -1
d
Let u = -0.04 + 0.24. Let j = -0.1673 + -0.1327. What is the nearest to 0.1 in -3, j, u?
u
Let i = 800821 - 386797043/483. Let w = i + 26/23. Let d = -7 + 10. Which is the closest to -0.03? (a) d (b) -0.5 (c) w
c
Let k be 7*(-1 + 3/7). Which is the closest to 1/3? (a) -9 (b) 2/7 (c) k
b
Let r = -146725 + 146724.8. Suppose -j - 4*u = 2*j, 2*j = 2*u + 14. Let g be j/(-14) - (-20)/21. What is the closest to g in -9, r, -2/15?
-2/15
Let h = 24.78 + -25. Let q = h - -0.23. Let d = 5/73 + 58/219. Which is the nearest to q? (a) -2 (b) d (c) -3
b
Let s(f) = 14*f + 28*f**2 - 29*f**2 - 12*f. Let w be s(1). Which is the nearest to -10? (a) w (b) 3/4 (c) 4
b
Let u = 0.15 - 0.85. Let l = -0.124 - -3.564. Let q = l + -6.44. Which is the nearest to u? (a) 1 (b) q (c) -1
c
Let u = -43.248 - -40.1. Let l = 0.148 + u. Which is the nearest to -1/8? (a) 3 (b) -4/5 (c) l
b
Let k be (-42)/(-8) + 13/(-52). Suppose 5*m + 2 = -p + 6*m, -4*p - k = -5*m. Let w = 146 + -145.9. What is the nearest to -0.1 in w, p, 0.01?
0.01
Let q = 371.9248 + 0.0752. Let h = 374 - q. What is the closest to 1 in 1/2, -0.038, h?
1/2
Let c = -3.82 - 0.18. Let f be (-16)/(-15) + (-4)/10. Let a = -83.14 - -82.94. What is the closest to f in a, 0.2, c?
0.2
Let u be 8/((-31)/((-713)/2)). Which is the nearest to -6? (a) u (b) -3/4 (c) -3
c
Let k(q) = 7*q**2 - 30*q + 5. Let f be k(4). What is the nearest to -0.1 in 2, f, 2/13, -0.1?
-0.1
Let q be (-7)/42*(-306)/255. Let y = 3.5 + -3. What is the closest to -2 in -0.8, y, q, -2/3?
-0.8
Let q = -117 + -224. Let r = -342 - q. What is the closest to r in 0.3, 5, 4?
0.3
Let g = 6.681 + 18.319. Which is the nearest to 146? (a) 0.4 (b) -2 (c) g
c
Suppose -82*l - 554 = -84*l. Let m = 250 - l. What is the closest to -1 in 4, m, 1/4?
1/4
Let y = -19/194 + 58/97. Which is the closest to y? (a) -2/5 (b) 0.5 (c) 0.1 (d) 9
b
Let t = 7.8 + -399.8. Let z = 395 + t. What is the nearest to -1/4 in z, -2, -4?
-2
Suppose -4*h - 144 = -4*x, 5*x + 123 = 9*x + 3*h. Let v be 70/(-8)*12/x - -3. Let n = -3 + 2.5. Which is the nearest to 0.1? (a) n (b) v (c) 0
c
Let j be (5 + -1)/(2/6). Let a = 10 + -22. Let r = a + j. What is the nearest to r in 2, -0.3, 4?
-0.3
Let b = 3 - 3. Let m(n) = n**2 - n - 4. Let o be m(3). Let d be (-28)/6 - (4/(-9))/((-282)/(-423)). What is the nearest to 1/3 in o, b, d?
b
Let d = -11/39 - 10592/195. Which is the nearest to d? (a) -3 (b) -0.3 (c) 5
a
Let f = -3644.4 + 3644. What is the closest to 0.1 in 1/3, f, 20, -1/11?
-1/11
Let s = -125086/43785 + -2/6255. What is the nearest to 0.1 in -3, 5, s, -1?
-1
Let d = -0.21 + 0.2. Let q be (-99)/(15 + -4) + 9. Which is the nearest to d? (a) 0.2 (b) 0.5 (c) q
c
Let q = -4.545 + 304.445. Let o = q + -300. Let y = -2 + 1.96. Which is the closest to o? (a) y (b) -2/3 (c) -2/7
a
Let k = 2463 + -17243/7. Which is the closest to 8/3? (a) 5 (b) -19/2 (c) k (d) 4
d
Suppose v + 4*c = 18, 264*v - 259*v - 5*c - 15 = 0. What is the nearest to -2/5 in -0.5, -18, v, 1/4?
-0.5
Let z = 52.06 - 52.16. What is the nearest to -0.3 in -5, -0.4, z, -4/7?
-0.4
Let q = 8872 - 8867. Let t = 4.7 - 5. Let z = -5.956 - 0.044. Which is the nearest to z? (a) t (b) 2 (c) q
a
Let g = -5476 + 5475. Let a = -139/3 + 46. What is the nearest to a in 5, g, -5?
g
Let n = -2311 + 2307. What is the nearest to -72 in n, -1/3, 2/13?
n
Let y be (1/(-10))/(1/6). Let x be 6/4 - (-34)/(-20). Let j = -0.285 - -0.185. What is the closest to j in 3/4, x, y?
x
Let i be (-10)/(-45) + 1547/714 + 15/(-6). Let w be (-4)/10 + (-3)/5. Which is the nearest to w? (a) 1/2 (b) i (c) -3 (d) 5
b
Let l = 141 - 141.096. Let r = l - -47.096. Which is the nearest to r? (a) 4/5 (b) -5 (c) -0.5
a
Let f = -442.24 - -441. Let t = -1.14 - f. What is the nearest to -1/3 in 3/4, 1/6, t, 0?
0
Let q be 1/((42/8)/(-3)). Let z be 24/(-14)*(-2)/((-176)/55). Let h = z - q. Which is the nearest to h? (a) -1/2 (b) -3 (c) -8
a
Let k = 117 - 119.85. Let i = -2.8 - k. Suppose 0 = 4*v + 8, 14 = 4*s + 12*v - 9*v. Which is the nearest to i? (a) -2 (b) s (c) 4
a
Let k be 1*(-4)/28*133. Let l be 2/(-8)*(-32)/(-36). What is the nearest to 0.3 in 3, l, -2/11, k?
-2/11
Let f(v) = -v**2 + 10*v + 202. Let u be f(20). Suppose z + q = 6*q + 7, -u*z + 3 = q. What is the nearest to -1.9 in -1/5, 2/7, 0.3, z?
-1/5
Let m = 1796/7 + -256. Let h be -8 - -1*15*3/9. Let i be (-1)/h + (-10 - -9) + 2. Which is the closest to i? (a) 3 (b) m (c) 2/5
b
Let o be (20/(-6))/((-11)/33)*-1. Let q(t) = t + 5. Let j be q(o). Let g be 3/(-30)*j - (-2)/(-8). Which is the nearest to -2? (a) 2/13 (b) -4 (c) g
b
Let s(r) be the second derivative of -r**3/2 + 2*r**2 - 8*r. Let o be s(0). Let b be (-162)/(-36) - o/1. What is the nearest to -2 in b, 5, 0?
0
Let t = -0.7041 + 0.6041. Which is the nearest to t? (a) -1 (b) 6/13 (c) 0.2 (d) -2
c
Let p = -277 + 279. Let u = -2 - -1.98. Let z = 60 + -61. What is the closest to u in z, p, 0?
0
Let z = -2/9327 + -9323/18654. Let o = 8 + -4. What is the nearest to 2/5 in o, -5, z?
z
Suppose -5*q + 9 - 24 = 5*f, -q = -3*f - 9. Which is the nearest to q? (a) 0.5 (b) 106 (c) 2/5
c
Let g(w) = -w**3 - 80*w**2 + 336*w + 17. Let o be g(-84). Which is the nearest to o? (a) -2/7 (b) -4 (c) -14
a
Suppose 25 = -8*z + 65. What is the nearest to -7 in 1/11, z, 2?
1/11
Suppose 66*m - 108*m = -42. What is the nearest to m in 5, 4, 203, 0?
0
Let g = -19162.8 + 19163. Let w = 1/3 - 1. Which is the nearest to g? (a) w (b) 1/12 (c) -4
b
Let u be 16/(144/(-63)) + 173/24. Which is the closest to u? (a) 0.2 (b) 2 (c) -1
a
Let d = 10 - 6. Let m = -185.51 - -187. Let u = 1.09 - m. Which is the nearest to 4? (a) d (b) 2/5 (c) u
a
Let k = 2429017/6237 - 4284/11. Let z = -23/81 + k. Which is the nearest to 3/5? (a) z (b) 0.2 (c) 0
b
Let w be 14/(-21)*(-6)/2 - 5. Let g = 0.0192 - -3.4908. Let s = g + -3.6. What is the nearest to s in 2/7, 1, w?
2/7
Let x = -165 + 2143/13. Let j = 98.5 - 114. Let s = j + 10.5. What is the nearest to 0 in 0.2, s, x?
x
Let m = 979 + -1005. Which is the closest to 0? (a) 1 (b) m (c) -2/5
c
Let m = -37.33 - -40.33. Which is the closest to 1? (a) -0.5 (b) 0 (c) m (d) 30
b
Let a be (8/110)/(1988/11360*8/14). What is the nearest to a in 0, 5, 10, 2/7?
2/7
Let w be 27/40 - 2*(-5)/80. Let o = -61 - -50. Which is the closest to -2? (a) w (b) -2/7 (c) -0.1 (d) o
b
Let x = 6499 - 6504. Which is the nearest to -8? (a) 4 (b) x (c) -0.01 (d) -3
b
Let z = 29/467 - 525/934. Let u = -2.87 + -0.13. Which is the closest to 2/5? (a) 0.3 (b) u (c) 3 (d) z
a
Let c = 134 - 17. Let t = 119 - c. What is the nearest to 9 in -0.5, -0.3, t?
t
Let o(w) = -2*w**3 + 3*w**2 + 86*w - 241. Let r be o(3). Let t be (6/3)/1*1. Which is the nearest to 5? (a) 0.3 (b) t (c) r
b
Let d = 4.91841 + 0.08159. What is the closest to -24 in d, 1/43, -4?
-4
Suppose 8 = -2*b + 10, -5*o + 5*b + 5 = 0. Suppose 5*n - 3 + 18 = 0. What is the nearest to o in n, 0.4, -4?
0.4
Let y = -167.229 + 167. Let u = -0.029
|
{
"pile_set_name": "DM Mathematics"
}
|
: 3, z: 1}.
2/55
What is prob of picking 2 z and 1 l when three letters picked without replacement from {l: 2, z: 7, v: 7}?
3/40
What is prob of picking 3 s when three letters picked without replacement from {s: 12, n: 1}?
10/13
What is prob of picking 2 d when two letters picked without replacement from {f: 9, d: 11}?
11/38
Calculate prob of picking 1 f, 1 b, and 2 a when four letters picked without replacement from {f: 2, s: 3, t: 2, a: 4, q: 2, b: 1}.
12/1001
Calculate prob of picking 1 n and 1 r when two letters picked without replacement from {r: 1, e: 14, n: 5}.
1/38
Two letters picked without replacement from {u: 7, d: 6, y: 6}. What is prob of picking 2 y?
5/57
Calculate prob of picking 2 h and 1 d when three letters picked without replacement from hhhdhhhrhr.
7/40
Four letters picked without replacement from {o: 2, e: 2, y: 2}. What is prob of picking 2 e and 2 o?
1/15
What is prob of picking 1 i, 1 s, and 1 r when three letters picked without replacement from {r: 1, i: 2, z: 2, s: 1, c: 1}?
2/35
Three letters picked without replacement from cecece. What is prob of picking 2 e and 1 c?
9/20
Four letters picked without replacement from hvghhhvgt. What is prob of picking 1 g and 3 h?
4/63
Calculate prob of picking 1 b and 2 i when three letters picked without replacement from iiiicbbcbiibbbbi.
21/80
Calculate prob of picking 2 v and 1 y when three letters picked without replacement from hyevqhhhqeyeehhqheqe.
0
Calculate prob of picking 2 p and 1 d when three letters picked without replacement from ncdnpp.
1/20
Three letters picked without replacement from qhxmmzjxh. Give prob of picking 1 q, 1 j, and 1 x.
1/42
Two letters picked without replacement from {d: 2, f: 9}. What is prob of picking 2 d?
1/55
Two letters picked without replacement from {z: 8, e: 8, t: 2}. What is prob of picking 1 t and 1 z?
16/153
Calculate prob of picking 1 d and 1 u when two letters picked without replacement from dddudddduddddu.
33/91
What is prob of picking 2 u when two letters picked without replacement from uuyy?
1/6
Calculate prob of picking 3 f and 1 t when four letters picked without replacement from hhhfhhhwfhhtfh.
1/1001
What is prob of picking 1 p, 1 w, and 2 g when four letters picked without replacement from {w: 2, g: 2, p: 1, f: 6}?
1/165
What is prob of picking 2 f and 1 e when three letters picked without replacement from fygegqgfgee?
1/55
What is prob of picking 1 v and 1 i when two letters picked without replacement from {v: 12, i: 1, t: 1}?
12/91
Four letters picked without replacement from {h: 3, o: 3, t: 1}. What is prob of picking 1 t and 3 h?
1/35
Three letters picked without replacement from {t: 5, n: 4, u: 8}. Give prob of picking 3 u.
7/85
Calculate prob of picking 1 l and 1 e when two letters picked without replacement from dsddpdedlelllds.
8/105
What is prob of picking 3 y when three letters picked without replacement from smybsjsyyyysmymyvj?
35/816
Four letters picked without replacement from {i: 2, p: 3, r: 5, v: 1, u: 6}. Give prob of picking 4 u.
3/476
Four letters picked without replacement from lrrlhrvlhlsgrhh. What is prob of picking 3 r and 1 s?
4/1365
Four letters picked without replacement from {p: 8, e: 6, q: 1, h: 3, f: 1}. What is prob of picking 1 q, 2 h, and 1 f?
1/1292
Four letters picked without replacement from zffszsfzhshzzfz. What is prob of picking 2 h and 2 s?
1/455
Three letters picked without replacement from {h: 2, l: 2, n: 2, b: 2}. What is prob of picking 1 n and 2 b?
1/28
Calculate prob of picking 1 w and 1 e when two letters picked without replacement from {w: 1, u: 1, k: 1, e: 1, z: 1}.
1/10
What is prob of picking 2 y and 2 i when four letters picked without replacement from {i: 11, y: 9}?
132/323
Two letters picked without replacement from qvqqqgaqrr. Give prob of picking 1 a and 1 q.
1/9
Calculate prob of picking 1 b, 1 j, 1 q, and 1 m when four letters picked without replacement from {a: 5, j: 2, b: 2, m: 1, u: 2, q: 1}.
4/715
Three letters picked without replacement from vvvvvpvvvvvvvvpvppvv. What is prob of picking 3 p?
1/285
What is prob of picking 3 e and 1 w when four letters picked without replacement from weeeewee?
4/7
Two letters picked without replacement from {a: 5, m: 2, q: 6}. Give prob of picking 1 m and 1 a.
5/39
Four letters picked without replacement from hhffhfhffhff. What is prob of picking 4 f?
7/99
Two letters picked without replacement from {i: 1, n: 2, j: 1, v: 2}. What is prob of picking 1 v and 1 j?
2/15
Two letters picked without replacement from {y: 1, z: 1, e: 2}. Give prob of picking 1 e and 1 y.
1/3
Calculate prob of picking 2 n and 1 k when three letters picked without replacement from kkunukkukuk.
0
What is prob of picking 1 b and 1 l when two letters picked without replacement from {l: 4, y: 1, z: 5, k: 3, b: 1}?
4/91
Two letters picked without replacement from {n: 2, y: 3, j: 15}. What is prob of picking 2 y?
3/190
Calculate prob of picking 1 y, 2 p, and 1 g when four letters picked without replacement from {y: 1, c: 4, p: 3, n: 1, g: 9}.
3/340
Calculate prob of picking 1 b and 1 y when two letters picked without replacement from byrhi.
1/10
Two letters picked without replacement from nynyqqnykye. What is prob of picking 1 k and 1 n?
3/55
Calculate prob of picking 1 d and 1 p when two letters picked without replacement from {d: 1, a: 3, x: 4, k: 1, g: 3, p: 5}.
5/136
Two letters picked without replacement from {v: 2, e: 1, s: 5, d: 1}. What is prob of picking 2 v?
1/36
Calculate prob of picking 3 a when three letters picked without replacement from aagggtga.
1/56
Two letters picked without replacement from {s: 3, h: 4, u: 4}. Give prob of picking 2 u.
6/55
What is prob of picking 1 u, 1 w, and 2 v when four letters picked without replacement from {w: 1, a: 1, v: 1, x: 1, u: 1}?
0
Calculate prob of picking 1 r and 1 z when two letters picked without replacement from brbrrrbrzrrccrcrcr.
10/153
Calculate prob of picking 2 z and 1 n when three letters picked without replacement from xxndhndhzhhxz.
1/143
Two letters picked without replacement from {b: 1, x: 1, i: 4, u: 2}. Give prob of picking 1 i and 1 u.
2/7
What is prob of picking 1 j and 1 s when two letters picked without replacement from {s: 1, i: 2, j: 1}?
1/6
Calculate prob of picking 1 n, 1 c, and 2 a when four letters picked without replacement from {n: 3, b: 10, a: 2, c: 1}.
3/1820
Calculate prob of picking 2 s when two letters picked without replacement from {j: 8, s: 2}.
1/45
What is prob of picking 3 i and 1 x when four letters picked without replacement from xiiixxiiiixiixiiiii?
455/969
Three letters picked without replacement from {c: 4, s: 2, f: 4, a: 1}. Give prob of picking 1 s and 2 f.
4/55
Calculate prob of picking 1 t, 1 m, and 1 j when three letters picked without replacement from xumnnntjxnnmjxx.
4/455
Two letters picked without replacement from {k: 12, t: 3}. What is prob of picking 2 t?
1/35
Calculate prob of picking 1 h, 2 j, and 1 f when four letters picked without replacement from {o: 4, m: 3, f: 3, l: 1, h: 2, j: 2}.
2/455
What is prob of picking 1 f, 1 j, and 1 g when three letters picked without replacement from {f: 1, g: 4, j: 6, r: 6}?
3/85
What is prob of picking 4 t when four letters picked without replacement from {o: 2, n: 5, t: 2}?
0
Calculate prob of picking 3 s and 1 c when four letters picked without replacement from ssscccsscscsscsscccc.
80/323
Two letters picked without replacement from {s: 3, b: 2}. What is prob of picking 2 b?
1/10
Two letters picked without replacement from {k: 5, f: 1, m: 1, t: 1, x: 1}. Give prob of picking 1 t and 1 f.
1/36
Three letters picked without replacement from ptzxxppvpvvvppxvo. What is prob of picking 1 x, 1 v, and 1 t?
3/136
Three letters picked without replacement from vxvvmgvmmvgvvvgvx. Give prob of picking 1 m and 2 g.
9/680
What is prob of picking 1 f, 2 b, and 1 g when four letters picked without replacement from mgggjjgxfbbjggb?
6/455
Four letters picked without replacement from {n: 5, c: 4, q: 6}. What is prob of picking 2 c and 2 q?
6/91
Two letters picked without replacement from {m: 4, n: 4, o: 1, p: 1, w: 7}. What is prob of picking 1 n and 1 m?
2/17
Calculate prob of picking 1 j and 1 w when two letters picked without replacemen
|
{
"pile_set_name": "DM Mathematics"
}
|
ose j = -3*a + 119, -5*j = 159*a - 158*a - 525. Calculate the greatest common factor of j and i.
8
Let i(c) = 4*c**2 + 37*c + 105. Let n be i(-3). Calculate the greatest common factor of n and 114.
6
Let k(b) = 16*b**2 - 1087*b + 45. Let z be k(68). What is the highest common divisor of 10057 and z?
113
Let b(q) = -2*q + 104. Let z be b(16). Calculate the greatest common divisor of 80 and z.
8
Suppose 2*q = 5*q + 420. Let y be q/15 - (-4)/(-6). Let l be 3/5 + (-54)/y. Calculate the greatest common factor of 66 and l.
6
Suppose 62*l - 68*l = -2304. Suppose 0*j - l = -4*j - 5*w, 3*j - 4*w = 288. What is the greatest common divisor of j and 4?
4
Let h be (-1*4/(-6))/(30/(-2745)). Let c = h - 30. Let z be (-1)/(-4) - (3 + c/4). Calculate the greatest common factor of z and 30.
10
Let m(u) = -20*u - 2. Let w be m(-3). Suppose -21*q - 4 = -2 - 2. Suppose -5*g + 92 + w = q. Calculate the highest common factor of 75 and g.
15
Let w(q) = -q**2 - 28*q - 154. Let s be w(-12). Let i be ((-722)/(-12))/((-8)/(-48)). What is the highest common divisor of i and s?
19
Suppose -6*f = 17*f - 10465. Suppose 42*y = 37*y + f. What is the greatest common divisor of 13 and y?
13
Let x(d) = 7976*d + 305. Let l be x(3). What is the highest common factor of 11 and l?
11
Suppose -168*p - 37*p = 8*p - 5964. Calculate the highest common divisor of 889 and p.
7
Let t = -10 + 2. Let b be (32/(-12))/(t/(-2796)). Let h be b/26*-1 + 4/26. What is the highest common divisor of h and 24?
12
Let o = -2516 - -2552. Calculate the greatest common divisor of 774 and o.
18
Let c = -59 + 69. Let d be (4 - c - -3)/((-1)/9). Suppose -4*f + 5*n = -153, -3*f + 5*n = -2*f - d. Calculate the highest common divisor of f and 28.
14
Let j be (8 - -5 - 5)*(-9)/(-4). Suppose -4*s = -j - 62. Calculate the highest common factor of 12 and s.
4
Let t(z) = -z**2 - 11*z - 6. Let b be t(-10). Let r be (-4)/((b/(-10))/(-11 + 15)). What is the greatest common factor of 380 and r?
20
Let b(v) = -2*v + 27. Let s be b(-8). Suppose 39*l - s*l + 40 = 0. Suppose 4*f - 206 - 74 = 0. Calculate the highest common divisor of l and f.
10
Suppose 0 = -18*h + 21*h + 75. Let i = 313 + h. Calculate the greatest common factor of i and 18.
18
Suppose -5*c - 22*r + 19*r + 1337 = 0, 4*r - 1076 = -4*c. Suppose 3*s - c + 193 = 0. Calculate the greatest common factor of 600 and s.
24
Let p = 2041 - 2023. Suppose -2*m + 3*s = -96, 0 = -3*m + 2*m + s + 47. What is the greatest common factor of m and p?
9
Let l be 1*0*(-3)/(5 - -1). Suppose 5*m + o + 19 = l, -m - 10 = -5*o - 1. Let d be -1 + (4 - (-8)/m). What is the highest common divisor of 8 and d?
1
Suppose -2*w + 4*w = o - 5, 0 = 3*o - w - 35. Suppose -2*s = o - 17. Suppose -12 = -3*y, s*k = 3*y + 2*y - 8. Calculate the highest common divisor of 42 and k.
6
Let d(p) = 19*p + 174. Let t be d(-9). Suppose 2*o = -4*c + 46, t*o - o - 40 = 2*c. What is the highest common divisor of o and 63?
21
Suppose 20 = 3*m - q - 344, 20*q = -2*m + 160. Calculate the greatest common factor of 84 and m.
12
Let k = 163081 + -163025. Let o = 210 + -352. Let j = o - -212. Calculate the highest common divisor of j and k.
14
Let q = 367 + -866. Let z = q + 758. What is the highest common factor of z and 37?
37
Let n be 3/(-7) - 12996/(-532). Let k = -108 + 57. Let p = -15 - k. What is the greatest common factor of p and n?
12
Let w = 2940 + -1757. Suppose -3*y - 875 = w. Let z be (-30)/165 - y/22. Calculate the greatest common factor of 62 and z.
31
Suppose 11*f = 87 + 133. Let d be (-15)/f + (825/20)/3. What is the greatest common factor of d and 611?
13
Let k(n) = n**3 - 10*n**2 - 10*n. Let x be k(11). Let i(d) = -18*d + 31. Let h be i(-16). What is the greatest common divisor of x and h?
11
Suppose -12*p + 14*p - 100 = 0. Let f(y) = 4*y**2 + 77*y + 5. Let h be f(-23). Calculate the greatest common divisor of h and p.
50
Let f be 4 + 1 + (-3 - -1). Suppose -n - 2*n = -f*q - 12, 4*n + q - 31 = 0. Let j = -5038 + 5045. What is the highest common divisor of j and n?
7
Suppose 8 = 4*g, g + 3 + 4 = r. Let a = 223 + -100. Suppose k + 2*k + a = 5*h, h - 4*k - 11 = 0. What is the greatest common divisor of r and h?
9
Let a(w) = 408*w - 12. Let m be a(1). Suppose 11*g - 469 = 323. Calculate the highest common factor of m and g.
36
Suppose 12 = -15*k + 14 + 13. Calculate the highest common factor of k and 23.
1
Let k(z) = -z**3 + z**2 + 93*z + 360. Let a be k(-4). What is the greatest common divisor of 935 and a?
17
Suppose 41*o - 40*o - 5*q - 41 = 0, -o = q - 59. What is the highest common factor of o and 568?
8
Suppose -95 = -2*w - 3*f, f = 5*f - 20. Suppose 38*g + 40 = w*g. Let o be 2/(4/(-25))*-8. What is the greatest common divisor of g and o?
20
Let w = 158 - 252. Let f = w + 152. Let n = f - 47. Calculate the highest common factor of n and 33.
11
Suppose -492*l + 459*l = -161667. What is the highest common factor of 639 and l?
213
Let h = -92 + 445. Let s = 729 - h. Calculate the highest common divisor of s and 141.
47
Suppose 41*a + 27 = 44*a. Suppose -a*k = -315 - 495. Suppose -40 = -5*y - 5*v, -2*y - 2*v + 26 = y. What is the greatest common divisor of y and k?
10
Let d be -16*((-3366)/(-72))/(-17). What is the highest common divisor of 13684 and d?
44
Suppose 69*u + 3*i + 5 = 70*u, -2*u + 4*i = -16. Let m be 9/(-21) - 3338/(-14). What is the greatest common factor of u and m?
14
Let u(o) = -31*o + 1. Let j be u(-2). Suppose -2055 = -3*t - 4*z, 4*z = -2*t - 258 + 1620. Calculate the greatest common divisor of j and t.
63
Suppose v - 2*s = 364, -3*v = 2*s - 366 - 678. Calculate the greatest common factor of 56 and v.
8
Suppose 4 = s + 2. Suppose 4*n - s*n - 42 = 0. Let p = 63 + -42. Calculate the greatest common factor of p and n.
21
Let o = 44 - 41. Suppose 4*z - 20 = 0, o*i + z + 25 = 6*z. Suppose 2*n = -y + 35, i*n + 2*n = -4*y + 50. What is the greatest common factor of n and 5?
5
Let j = 262 - 257. Suppose -w - 4*w = -2*k - 75, 3*w - 45 = -j*k. What is the highest common factor of 6 and w?
3
Suppose -5 = -4*h - h. Let x = -48 + 64. Suppose 8*u - x = -0*u. What is the greatest common factor of u and h?
1
Let g be 16/(6/(-3) + (-64)/(-24)). What is the greatest common factor of g and 123?
3
Suppose 4*c - 4 = 0, 1 = -y + 2*c + 5. Let h be 36/((-100)/36 - -3). Suppose 50*q - 32*q = h. Calculate the greatest common divisor of q and y.
3
Let w(k) = 16*k - 28*k**2 + 44*k**2 + 15 + 2*k**3 - 3*k**3. Let x be w(17). Let c be (-230)/x + 2 + 3. Calculate the greatest common factor of c and 10.
10
Let s be (-8950)/(-18) + (-2)/9 - 3. Suppose s = 8*f - 114. What is the highest common divisor of 57 and f?
19
Suppose -152 = -v - 20. Let l be (0/(-3) + 0)/(-4). Suppose b - 30 = -f, l = -5*f + 3*f - b + 63. What is the highest common factor of f and v?
33
Let j = 136 - 124. Let o = 76 - 27. Suppose 0 = -3*d + o + 5. Calculate the greatest common factor of j and d.
6
Let n be ((-9546)/(-333))/(2/12). What is the highest common factor of n and 4214?
86
Suppose -3*n - 3*k = -348, -3*n + 2*k + 158 = -185. Suppose 46140*a + 1725 = 46165*a. Calculate the greatest common factor of n and a.
23
Suppose 0 = -m + 5*r + 658, 519 = 3*m + 4*r - 1417. What is the highest common divisor of m and 1188?
108
Let h be (-440358)/(-42) + 3/(-63)*(-12 - -6). Calculate the greatest common factor of 45 and h.
45
Let w = 24 + -59. Let p = w + 29. Let k be (p/6)/(1/(-44)). What is the highest common factor of 11 and k?
11
Let l = -6 - -8. Let h = -1 + l. Suppose -26 = -3*b - 6*p + 7*p, 0 = 2*b - 3*p - 22. What is the highest common factor of h and b?
1
Let c(z) = 7*z - 92. Let w be c(8). Let s be w/(-9) - (1 - 3 - 2). Calculate the highest common divisor of s and 296.
8
Suppose 0 = 247*h - 249*h + 2046. What is the greatest common factor of 627 and h?
33
Let a(u) = -35281*u - 35213. Let b be a(-1). Let g(y) = y**3 + 4*y**2 + 3*y + 4. Let j be g(-3). Calculate the greatest common factor of b and j.
4
Suppose -5*c - 137 = -4*y, 117 = 4*y - 62*c + 61*c. Calculate the highest common divisor of 973 and y.
7
Suppose -7*g = -17 - 102. Suppose 0 = -228*u + 72*u + 193596. Calculate the highest common factor of g and u.
17
Suppose 0 = 2*g, 5*n + 68*g - 630 = 66*g. Calculate the highest common divisor of 84 and n.
42
Let o = 38 + 155. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
1
Let h(y) = 80*y - 70. Let i(b) = b - 1. Let f(d) = 2*h(d) - 140*i(d). Suppose -p = -t + 4*p - 19, 5*t - 4*p + 11 = 0. What is the tens digit of f(t)?
2
Let s = -26 + 38. Let q(p) = 20*p + 1. Let j be q(4). What is the tens digit of (s/9)/(3/j)?
3
Let c(t) = 27*t + 3. Let v be c(2). Let m = -14 + v. What is the tens digit of m?
4
Let t be 4/(-2) - -2 - 10. Let w(p) = p**2 + 5*p - 11. Let m be w(t). Suppose -m = 2*b - 5*b. What is the units digit of b?
3
Let k be (-10)/(-85) + (-155)/17. Let g = -8 - k. What is the tens digit of (-102)/(-2) + 4 - g?
5
Suppose 5*j - 5 = 0, -35 = 3*l - 4*j - 1. Let x be -2 + (-3)/(6/l). Suppose -2*n + h = 4*h - 124, -x*h - 289 = -5*n. What is the units digit of n?
9
Suppose -2*o + 0 = -6, -19 = -5*g - 3*o. Suppose 3*y + 183 = 2*h, -3*y + 5 = -g*y. What is the units digit of h?
9
Let m = -18 + 19. Let q be -1 + (2 - (-2)/m). Suppose -6 = -2*u - g + 35, q*u - 60 = -g. What is the tens digit of u?
1
Suppose -13426 = -8*t + 12078. What is the hundreds digit of t?
1
Suppose -30 = -6*s - 0*s. Suppose -s*b = -11*b + 144. What is the tens digit of b?
2
Let f = 31 - -442. What is the units digit of f?
3
Suppose 2*h - 5*v - 8 = 23, 7 = -h - 5*v. Let d(n) = n**2 - 7*n - 5. Let m be d(h). What is the tens digit of ((-44)/m)/(4/(-6))?
2
Let p = -8 + -22. What is the tens digit of p/(-2 - -1)*(-210)/(-25)?
5
Suppose -4*c + 4464 = 4*m, c + 266 = m - 854. What is the tens digit of m?
1
Suppose 7*n + 2 = 8*n. Suppose j = -2*v + 5*j - 8, n*j + 2 = 0. What is the tens digit of (-1240)/(-25) - v/(-10)?
4
Let w(k) be the first derivative of 7*k**3/3 + k**2 - 24*k - 33. What is the tens digit of w(-6)?
1
Suppose 0 = -7*m + 2*m + 15. Suppose 5*k + m*o = 271, -4*o = -4*k + 72 + 132. What is the tens digit of k?
5
Let t = -1943 + 3477. What is the units digit of t?
4
Let h = 225 + -130. Suppose -h - 377 = -4*g. What is the tens digit of g?
1
What is the tens digit of (-124257)/(-244) + (-5)/4?
0
Let x = 21 - 19. Let q = x - -3. What is the units digit of q?
5
Let t(c) = 2*c**3 + 2*c**2 + 5*c + 3. Let o be t(-3). Let n = o + 60. What is the tens digit of n?
1
Let x(q) = -21*q + 7. Let c be x(-16). Suppose 3*y - c = o, -170 - 270 = -4*y - 3*o. What is the tens digit of y?
1
What is the units digit of 24/14 - 2 - (-1535)/7?
9
Suppose -z + 740 = y, -y + 20*z - 16*z = -765. What is the tens digit of y?
4
Let z(o) = -11*o**2 - 2*o - 1. Let w be z(-1). Let s(i) = 5*i - 4. Let u(r) = 5*r - 4. Let c(a) = 6*s(a) - 7*u(a). What is the units digit of c(w)?
4
Suppose 0 = -4*l + 3*l. Let h be (4/6 - l)*123. Let a = h + -26. What is the units digit of a?
6
Let k = 11 - 8. Suppose 3*q - 37 = 173. Suppose 2*o = -2*m + q, 15 = k*m - o - 90. What is the units digit of m?
5
Suppose -117*k + 574417 = -72125. What is the hundreds digit of k?
5
Suppose -4*t = 5*p - 739, 5*p + 0 = -3*t + 738. Suppose -2*y + 445 = g + 2*g, y = -g + p. What is the units digit of g?
1
What is the tens digit of (1884/15)/((-7)/(-35))?
2
Suppose -3*l = 2*l + 55. Let z = -16 - l. Let k(o) = -o**3 - 5*o**2 - 3*o. What is the units digit of k(z)?
5
Suppose 310 + 169 = y. What is the hundreds digit of y?
4
Let l(a) be the second derivative of a**2/2 + a. Let q(x) = 14*x - 5. Let v(n) = 3*l(n) + q(n). What is the tens digit of v(3)?
4
Suppose 9 = a - 1. Let z be (2 + -1)*0/(-1). Suppose -j + a + 16 = z. What is the units digit of j?
6
Suppose -178 = 2*q + 3*k - 24, -3*k - 12 = 0. Let j = q - -177. What is the units digit of j?
6
Let h(f) = 5*f - 1. Let s(z) = 6*z - 1. Let y(l) = -7*h(l) + 6*s(l). Let w(j) = -18*j**2 + 2. Let k(i) = -w(i) + y(i). What is the units digit of k(-2)?
9
Let r be (-10)/(-35) + 2/(-7). Suppose -12*l + 10*l = r. Let x(a) = -a**3 - a + 41. What is the tens digit of x(l)?
4
Let r = 11 + 2482. What is the hundreds digit of r?
4
Suppose 4*j - 5*j = -332. Suppose -19 - j = -3*h. What is the units digit of h?
7
Suppose -34 = -5*w + 36. Let o = 58 - w. What is the units digit of o?
4
Let h(f) = -17*f - 15. Let d(a) = 8*a + 8. Let r(l) = 13*d(l) + 6*h(l). What is the tens digit of r(0)?
1
Suppose -94*c + 91*c - 84 = 0. What is the units digit of (-1 + c/8)*38/(-3)?
7
Suppose 33 = -l + 91. Suppose -13*v + 15*v - l = 0. What is the tens digit of v?
2
Let u be ((-2)/(-6))/(4/60). Suppose s = u*s - 40. Suppose -8*a - 2 = -s*a. What is the units digit of a?
1
What is the hundreds digit of (-15828)/(-90) - (-12)/90?
1
Let k(c) = 15*c**2 + 17*c + 56. What is the units digit of k(-4)?
8
Let d(c) = -6*c + 8. Let n be 3/2*(-32)/(-12). Suppose -n*m = -4*f + 32, 20 = -3*m - 3*f + 8*f. What is the units digit of d(m)?
8
Let x = -763 + 798. What is the units digit of x?
5
Let z = 13 + -9. Let b be z/26 + (-984)/(-26). Let n = b + -10. What is the tens digit of n?
2
Let r be -56 + -7 + (1 - -3). Let a = r + 239. What is the tens digit of a?
8
Let n be 860/6 - 13/39. Suppose 4*r = -c + n, -r + 2*c = r - 64. What is the units digit of r?
5
Suppose z - 1357 = -3*i, 9*i = -3*z + 12*i + 4083. What is the tens digit of z?
6
Let u = 12 + -10. Suppose 0 = 3*h - f - 9, 5*f - 7 = u*h - 0*f. Suppose -4*a + 90 = a - 5*o, -43 = -a - h*o. What is the units digit of a?
3
Suppose 3*a = 4*a. Suppose 2 = m + 4*j - 14, a = 5*m + 3*j - 29. Suppose 3*x - 104 = m*o, -4*x - x + o = -196. What is the tens digit of x?
4
Let j = 18 - 14. Let x be j - (-1 + 0)*1. Suppose -2*t + 49 = -x*c, c - 3*c + 42 = 2*t. What is the tens digit of t?
2
Let i(p) = p**2 - 5*p - 7. Let o be i(7). Let s(d) = -d**3 + 9*d**2 - 6*d - 14. What is the units digit of s(o)?
2
Let w be 55/(-20) + 2/(-8). What is the units digit of (-4)/(-12)*w - -50?
9
Suppose -5*r - 211 - 263 = 3*y, 0 = -4*r + 4*y - 392. What is the units digit of (r/(-20))/((-9)/(-300))?
0
Let i = 147 - 108. Suppose -i*r = -31*r - 1744. What is the hundreds digit of r?
2
What is the hundreds digit of (-6 - 96/(-15))/(1/1455)?
5
Suppose -12*p = -8*p - 16. Suppose n - p*n + 15 = 0. Suppose -196 = -2*h - q - 59, 3*h = -n*q + 223. What is the units digit of h?
6
Let v(f) = -f**3 + 2*f**2 - 3*f + 545. What is the hundreds digit of v(0)?
5
Let a = 216 - 370. Let v = 221 + a. What is the units digit of v?
7
Let a = -18 + 30. Suppose -7*w = -9*w + a. What is the units digit of 1274/21 + 8/w?
2
Suppose 2*r - 6 = 4. Suppose 2*o + 0*o + u - 9 = 0, -5*u = -r*o + 15. Suppose -2*f + 7*f + 125 = o*x, -x = -4*f - 23. What is the tens digit of x?
3
Let u be (-478)/(-12) + (-1)/(-6). Let d be 2/3*18/4. What is the units digit of 1/(u/(-14) + d)?
7
Suppose 2*k - 19 + 1 = -2*r, -k + 4 = 0. Suppose n - r*m - 136 = -31, 5*m = 2*n - 205. What is the tens digit of n?
0
Let c(w) = w**2 - w + 2. Let i be c(0). Let j be (12 - 13)/(i/102). Let s = -20 - j. What is the tens digit of s?
3
Suppose -25 = 5*a, 10*j - 1015 = 5*j - 5*a. What is the units digit of (j/(-10) + -2)*55/(-22)?
7
Let b = 408 + 561. What is the units digit of b?
9
Let m(i) = -i**2 + 2. Let p be m(-3). What is the units digit of p/56 + (-706)/(-16)?
4
Suppose -5*h - 5 = 5*k - k, h - 20 = -5*k. Suppose k*t - 11 = 4. What is the units digit of (1/2)/(t/24)?
4
Let r = -2742 + 3643. What is the units digit of r?
1
Let g = 7 - -25. Let s = 62 - g. Suppose -s = -7*l + l. What is the units digit of l?
5
What is the units digit of 3071 + (1/(-5) - 66/(-30))?
3
Let q be (86/(-3))/(7/21). Let y = q - -164. What is the tens digit of y?
7
Let m(q) = 7*q**2 + 2*q + 1. Let w be 70/8 + (-6)/8. Let y(s) = -2*s + 13. Let z be y(w). What is the tens digit of m(z)?
5
Let a(u) = 98*u**2 + 3*u - 2. Suppose -5*b + 17 = -3*s, -2*b = 3*s - 2*s - 9. What is the tens digit of a(s)?
9
Suppose 3*f + 120 = -5*f. Let v(u) = -u**3 - 15*u**2 - 5*u - 5. What is the units digit of v(f)?
0
Let p(w) = w**3 + 2*w + 60. Let b be p(0). Let z be (-2)/(-12) - 2/12. Suppose z*h + b = 5*h. What is the tens digit of h?
1
Suppose 4*d = -d - k + 17, k + 7 = 3*d. Let j = -2 + d. What is the units digit of (-9)/(j/(2 - 3))?
9
Let j(i) = 16*i**3 - 2*i**2 - 36*i - 10. What is the hundreds digit of j(7)?
1
Let y(u) = u**3 + 3*u**2 + 5. Let z be y(-4). What is the tens digit of z/(-1) + 10/(-10)?
1
Let o(q) = 4*q - 15. Let f(m) = -m**3 - 10*m**2 - 19*m - 8. Let c be f(-8). What is the units digit of o(c)?
9
Let a = 726 + -690. What is the tens digit of a?
3
Let a = -134 - -
|
{
"pile_set_name": "DM Mathematics"
}
|
17*v**2 + 29*v**5 + 12*v**2 wrt v?
580*v**3
Let f be (66/30 + -3)/(6/(-15)). Find the second derivative of 2*i + 32 + 35 + 35*i**3 + f*i**2 + 8 wrt i.
210*i + 4
Find the second derivative of 240*p + 1803*p + 1339*p - 4*p**2 + 1028*p - 481*p**4 wrt p.
-5772*p**2 - 8
Let d(y) = -121*y**4 - 5*y**3 - 5*y**2 - 5*y - 261. Let f(r) = r**3 + 3*r**2 + r - 1. Let g(s) = d(s) + 5*f(s). What is the derivative of g(z) wrt z?
-484*z**3 + 20*z
Let l(s) be the second derivative of 0 - 2/3*s**4 - 26*s - 2/3*s**3 + 0*s**2. What is the second derivative of l(t) wrt t?
-16
Suppose -16*g = 7 - 55. Let j be g + (6/4 - 33/22). What is the second derivative of 8 - 17*q**j - 8 - 11*q**3 + 32*q wrt q?
-168*q
Let w be 2/((-6)/(-9)) + (-12)/3. Let g be (-4)/(-8) + w - 26/(-4). Find the third derivative of 3*k**6 + 4*k**g - 14*k**2 + 8*k**6 wrt k.
1800*k**3
Let l(a) = 2*a - 7. Let t be l(8). Suppose 5*r + w = 13, 1007*w = -r + 1010*w + 9. What is the first derivative of 2*n**3 - 3 - 2*n**r + t - 28*n**4 wrt n?
-112*n**3
Let k(v) be the third derivative of 0*v + 0*v**4 - 37/105*v**7 + 11/2*v**3 + 0 + 0*v**6 + 24*v**2 + 0*v**5. What is the derivative of k(a) wrt a?
-296*a**3
Let p(w) be the second derivative of -515*w**8/8 + w**4/6 + 11*w**3/3 + w**2/2 - 12*w + 302. Find the third derivative of p(u) wrt u.
-432600*u**3
Let q(d) be the first derivative of -482*d**2 + 956*d + 1927. Differentiate q(v) wrt v.
-964
Let l = -56 - -52. Let i(y) = y + 8. Let t be i(l). Differentiate 152*k**t + 13 - 56 - 158*k**4 with respect to k.
-24*k**3
Let g(a) = 43*a**2 - 2*a - 1. Suppose -4*p - 4*x = -8 - 4, 2*p - 4 = -x. Let j be g(p). What is the derivative of 35*q**3 + 26 + j*q**3 - 71*q**3 wrt q?
12*q**2
Let o(a) be the second derivative of 188*a**4/3 + 490*a**2 - 667*a. Differentiate o(m) with respect to m.
1504*m
What is the second derivative of g**4 - 42*g**5 - 2440*g - 37*g**5 + 2350*g + 2 wrt g?
-1580*g**3 + 12*g**2
Let h(u) be the second derivative of -2089*u**4/6 + 7*u**3/2 - 15*u**2/2 + 2361*u. Find the second derivative of h(s) wrt s.
-8356
Suppose -2*p + 9 = r + p, -2*r - 5*p = -13. Let n be ((-119)/35)/((r/(-10))/(-3)). What is the third derivative of -766 - 15*o**5 + n*o**2 + 766 wrt o?
-900*o**2
What is the third derivative of -23*x**5 + 28*x - x**4 + 1173*x**2 - 2*x**4 - 1172*x**2 wrt x?
-1380*x**2 - 72*x
Let w be 12/10*10/4. Differentiate 14 + 4 + 109*s**w + 98*s**3 with respect to s.
621*s**2
Let o(d) = d**3 + d**2 - 2*d + 4. Let y be o(0). Let u be (185/35 - y/14)/1. Find the second derivative of 114*m - 2*m**5 + 4*m**5 + 7*m**u - 103*m wrt m.
180*m**3
Let l = -53 - -56. Find the second derivative of -18*a**2 + l + 2 + 3*a - 8*a + 4*a wrt a.
-36
Let w be 1/(-3)*(-35 + -4). Differentiate -w*g + 73*g - 6*g + 229 - 3*g + 0*g wrt g.
51
Let u(t) be the third derivative of 8*t**2 + 0*t**5 + 0*t**4 - 157/120*t**6 - t - 52/3*t**3 + 0. What is the first derivative of u(w) wrt w?
-471*w**2
Let f(k) be the third derivative of 517*k**8/84 + 409*k**4/8 + 18*k**2. What is the second derivative of f(g) wrt g?
41360*g**3
Let u(f) = 7*f**3 - 5*f**2 + 15*f - 24. Let m be u(2). What is the second derivative of -1306*c**3 + 382*c**3 + 7 - 12 + 3*c + 660*c**3 - m wrt c?
-1584*c
Let x(k) = 6*k**4 + 21*k**3 + 59*k**2 - 5. Let b(h) = -17*h**4 - 63*h**3 - 178*h**2 + 15. Let i(l) = -3*b(l) - 8*x(l). Find the third derivative of i(c) wrt c.
72*c + 126
Let f be (-870)/14 - 3/(-21). Let c = f + 64. Find the third derivative of -5*g**4 - g**c + 27*g**2 - 229 + 229 wrt g.
-120*g
Suppose -30*r = -32*r + 154. What is the third derivative of r*w**2 - 127*w + 127*w - 3 + 66*w**4 + 1 wrt w?
1584*w
Let g be 15 - (14/(-98) - (-1)/7). Find the second derivative of 5*z**3 - 16*z**3 + 10*z**3 + g*z - 16*z**2 - 13*z**2 wrt z.
-6*z - 58
Let l be (-3)/12 - (-174)/24. Let g be l*(36/(-14) + 3). Find the second derivative of -10*h + 41*h**3 + 41*h**3 - 92*h**g wrt h.
-60*h
Let v(x) = -x + 1. Let s(a) = 4 + 31 + 42*a - 13. Let z(f) = -s(f) + 3*v(f). Differentiate z(o) with respect to o.
-45
Let q(p) be the third derivative of 179*p**6/8 + 679*p**5/20 - p**4/12 + 6053*p**2. What is the third derivative of q(c) wrt c?
16110
Let t(h) = -8*h + 1. Let c be t(-3). Suppose 5*j = m + m + c, -m = -4*j + 17. What is the second derivative of 29*q - 10*q - 10*q - 23*q + 19*q**j wrt q?
114*q
Differentiate -196 - 473*k**2 - 124*k**2 + 80*k**2 + 914 wrt k.
-1034*k
Let k(o) = -125*o**4 - 3*o**3 - 1747*o**2 - 12*o. Let n(y) = -y**4 - y**3 - 3*y. Let j(g) = k(g) - 4*n(g). What is the third derivative of j(r) wrt r?
-2904*r + 6
Let p be (8/12*3)/(-2). Let r(x) = 10 - 1 - 9 + x. Let i(k) = -15*k - 19. Let l(w) = p*r(w) - i(w). What is the first derivative of l(o) wrt o?
14
Let q(h) be the second derivative of 155*h - 1/10*h**5 + 0*h**2 + 41/6*h**4 + 79/6*h**3 + 0. Find the second derivative of q(w) wrt w.
-12*w + 164
Let z(l) be the second derivative of 13/2*l**2 + 1/6*l**3 + 0*l**4 - 7 + 3*l + 0*l**5 - 1/5*l**6. What is the first derivative of z(r) wrt r?
-24*r**3 + 1
Let q(y) be the third derivative of 0*y**4 + 0*y**3 + 0 + 56*y - 47/30*y**5 + y**2 + 91/120*y**6. What is the third derivative of q(w) wrt w?
546
Let f(v) = 8*v**2 - 2*v + 2. Let g(h) = -39*h**2 + h + 1361. Let y(j) = 4*f(j) + g(j). Differentiate y(p) with respect to p.
-14*p - 7
Let g be (-133)/(-28) - 6/8. Find the second derivative of -5 - g + 5*j - 42*j**2 + 5 wrt j.
-84
Let k be (2/3)/((-41)/6 - -7). What is the first derivative of 43 + 74 + k*m + 8*m wrt m?
12
Let o(b) = -b + 8. Let h be o(7). Let q be (3 - (0 - h)) + 3. Find the third derivative of -22*n**6 - 52*n**2 + q*n**6 + 45*n**2 wrt n.
-1800*n**3
What is the first derivative of 629 + 1393*n**3 - 205*n**3 + 155*n**3 wrt n?
4029*n**2
Let p = 459 - 372. Find the second derivative of 37*t**3 + 41 - p*t**3 + 41*t**3 + 2*t wrt t.
-54*t
What is the derivative of 314 - 2*w**4 + 497 - 325*w + 31*w + 3*w**4 wrt w?
4*w**3 - 294
Let a(h) be the first derivative of -11/120*h**5 - 27 + 0*h**2 + 0*h - 7*h**3 + 11/12*h**4. Let j(n) be the third derivative of a(n). Differentiate j(r) wrt r.
-11
Let b(i) be the second derivative of 47*i**5/20 - 2*i**3 + 109*i**2 - 886*i + 2. Differentiate b(m) with respect to m.
141*m**2 - 12
Differentiate 4445*x**2 - 854 - 344*x**3 - 4445*x**2 - 1445*x**3 with respect to x.
-5367*x**2
Let a(u) = 122*u + 7. Let h(v) = v - 1. Let z(q) = 117*q + 15. Let k(b) = 6*h(b) + z(b). Let j(o) = -5*a(o) + 4*k(o). What is the derivative of j(n) wrt n?
-118
Let l(h) = h**3 + 10*h**2 + 13*h - 12. Let t be l(-9). Let r = t + 54. Find the third derivative of -75*u**r + 140*u**6 - 32*u**2 - 75*u**6 wrt u.
-1200*u**3
Let y(i) = 172*i**3 - 52*i**2 + 10642*i + 9. Let t(w) = 43*w**3 - 13*w**2 + 2666*w + 2. Let l(x) = 9*t(x) - 2*y(x). Find the second derivative of l(h) wrt h.
258*h - 26
Suppose 0 = -2*k + 7*k - 4*a - 563, 561 = 5*k - 3*a. What is the second derivative of -s + 58 - 23 - 81 + k*s**3 wrt s?
666*s
Let u(z) be the second derivative of -7*z**5/5 - 5*z**4/2 - 2*z**3/3 - 87*z**2/2 + 2*z - 232. What is the second derivative of u(p) wrt p?
-168*p - 60
Let f(i) be the first derivative of 0*i**4 - 1/6*i**6 + 37 - 32*i + 0*i**3 + 3/5*i**5 - 1/2*i**2. What is the second derivative of f(l) wrt l?
-20*l**3 + 36*l**2
Let y(w) be the second derivative of -277*w**4/12 - 1550*w**3/3 + 3260*w. What is the second derivative of y(u) wrt u?
-554
Let q be (15/(-4) - -1)/(52/(-1872)). What is the first derivative of -109 - 84*z**3 - 143 + 83 - 50*z**3 - q*z**3 wrt z?
-699*z**2
Let i(z) = 3075*z**4 - 8*z**3 - 7473*z + 21. Let a(n) = 3076*n**4 - 7*n**3 - 7470*n + 18. Let m(u) = -7*a(u) + 6*i(u). Find the second derivative of m(r) wrt r.
-36984*r**2 + 6*r
What is the derivative of -6352*f**3 - 1153 - 35848*f + 35848*f wrt f?
-19056*f**2
Suppose 6*o + 39 = 69. What is the third derivative of 4963*b**5 - 4944*b**5 - o*b**4 + 5*b**4 - 83*b**2 wrt b?
1140*b**2
Find the second derivative of -2493*a - 22*a**5 + 2341*a + 20*a**5 - 375*a**4 wrt a.
-40*a**3 - 4500*a**2
Let t(f) be the third derivative of -f**8/168 + 31*f**5/10 + 47*f**4/24 + 3*f**3/2 + 448*f**2 - f. Find the second derivative of t(k) wrt k.
-40*k**3 + 372
Let x(p) = -52*p**3 + 13*p - 284. Let f(m) = -14*m**3 + 3*m - 71. Let j(s) = 8*s + 58. Let w be j(-4). Let v(g)
|
{
"pile_set_name": "DM Mathematics"
}
|
5
Suppose -y = -4*n + 2*y + 431, -4*n + 446 = 2*y. What is the remainder when n is divided by 28?
26
What is the remainder when 17 is divided by (7/(-7))/((-1)/10)?
7
Let i(q) = -14*q**3 + q**2 - q - 1. Let v be ((-6)/9)/(4/6). Let a(r) = -4*r**3 - r**2 - 2*r - 3. Calculate the remainder when a(-2) is divided by i(v).
14
Suppose 2*c - 10 = -4*y, -2*c - 2*y - y = -13. What is the remainder when 189/6 - (-2)/4 is divided by c?
10
Let v(d) = -d**2 + 3*d + 11. Calculate the remainder when 159 is divided by v(4).
5
Let m be (-15)/6*(-8)/5. Calculate the remainder when 41 is divided by -4 - (-5 + m)*26.
19
Let i(w) = w**3 + 2*w**2 - 4*w. Let d be i(-4). Suppose -x - 3*k - 18 = -0*x, -5*x = 3*k + 54. Let r = x - d. What is the remainder when 19 is divided by r?
5
Suppose -5*f + 93 - 23 = 0. Let d = -17 + 43. Calculate the remainder when d is divided by f.
12
Let h(j) = -j**2 - 3*j + 3. Let d be h(3). Let c(g) = g**3 + 16*g**2 + 15*g + 17. Calculate the remainder when c(d) is divided by 10.
7
Let b be 6/(-2) + 45/3. Suppose 30 = y - b. Calculate the remainder when y is divided by 11.
9
Suppose 4*c - 456 = -4*o, -178 - 278 = -4*c + 2*o. Calculate the remainder when c is divided by 23.
22
Let m = 8 + -4. Suppose 0 = -b - 3*b + 44. Calculate the remainder when b is divided by -1 + 2 + 1 + m.
5
Let b(f) = -6*f**3 + f**2 - 2*f + 2. Let t be b(-4). Calculate the remainder when (-8)/(-36) + t/18 is divided by 13.
10
Let g(k) = -k**3 + 6*k**2 - 5*k - 1. Calculate the remainder when 43 is divided by g(4).
10
Suppose -2*n - 4*f + 632 = 0, 3*f = -n - 0*f + 321. Suppose 0 = -3*w - 60 + n. Calculate the remainder when w is divided by 12.
10
Let d = 69 + -23. Suppose -4*w + w = -75. Suppose -w = 5*r, z + r - 7 = -0*r. What is the remainder when d is divided by z?
10
Let n be ((-2)/1)/(1/(-2)). What is the remainder when n/1*11/4 is divided by 3?
2
Suppose 3*u = -2*u + 20. Calculate the remainder when 5 is divided by u.
1
Suppose -3*d = 4*u - 2*d + 31, -3*u - d - 22 = 0. Calculate the remainder when 46 is divided by (-1 - u/15)*-30.
10
Suppose 15 = 5*i + 425. What is the remainder when (-2)/8*2*i is divided by 21?
20
Suppose -2*h - 10 = -i, 4*i + h + 29 = 6*i. What is the remainder when 29 is divided by i?
13
Let l be ((-15)/6)/(2/(-8)). Suppose 0 = b - 1 - l. Let p(k) = 22*k - 1. Calculate the remainder when p(1) is divided by b.
10
Suppose -b - 2*b = 12, m + 8 = -2*b. Suppose -3*y - y = m. Calculate the remainder when 20 - -1*(1 - y) is divided by 8.
5
Calculate the remainder when (9/(-2) + -1)*(-2 - 0) is divided by 7.
4
Let v be (1*-3)/(-3) - 0. Let z = v + 2. What is the remainder when -1*((1 - -1) + -7) is divided by z?
2
Suppose -2*p - 6*r + 47 = -9*r, 5*r - 15 = 0. Let l = 236 - 125. Calculate the remainder when l is divided by p.
27
Suppose -2*z = q - 177, 0 = z + 4*z - 4*q - 475. What is the remainder when z is divided by 31?
29
Let c(d) = d**2 - 5*d - 2. Let q be c(6). Suppose q*b = -v + 11, -5*v = -v + 4. Calculate the remainder when 11 is divided by b.
2
Suppose 43 = 3*j - 11. What is the remainder when j is divided by ((-6)/(-4))/(3/14)?
4
What is the remainder when 1059/12 + 40/(-32) is divided by 18?
15
Let f = 155 - 133. Calculate the remainder when 52 is divided by f.
8
Suppose 5*y + 63 = -2. What is the remainder when 5 is divided by 1/(-6) + y/(-6)?
1
Let j(o) = 2*o + 2. Let b = 19 + -16. Suppose -2*f + b*f - 21 = -t, 5*t - 3*f - 121 = 0. Calculate the remainder when t is divided by j(3).
7
Suppose -x = s, -4*x + 45 = s - 6*s. Suppose 3*v = 10 + x. Calculate the remainder when v is divided by 2.
1
Let z(o) = o**2 + 2*o - 4. Calculate the remainder when z(3) is divided by 6.
5
Suppose r + 36 = 5*r. Suppose 0 = 6*c - c + 5. Let l(h) = -35*h - 1. Calculate the remainder when l(c) is divided by r.
7
Suppose -3*m = -29 - 106. Calculate the remainder when m is divided by 25.
20
Let a be (1/2)/((-2)/(-20)). Let x(n) = n + 48. Let w be x(0). Suppose k = a*k - w. What is the remainder when 35 is divided by k?
11
Let s(v) = 11*v**3 - 3*v**2 + 2*v - 1. Let i be s(3). Suppose 3*q - 137 = 4*p, -6*q - 5*p + i = -q. Calculate the remainder when q is divided by 26.
25
Let t(v) be the first derivative of 1 + 2*v + 1/3*v**3 + v**2. What is the remainder when t(6) is divided by 17?
16
Let d = -96 - -98. Suppose -2*s = -s - 5*a + 14, 3*s - 9 = -2*a. What is the remainder when d is divided by s?
0
Suppose 0*i - 372 = -i. Suppose -d + 105 = 2*q - 2*d, 2*d + 263 = 5*q. Calculate the remainder when q is divided by i/21 - (-2)/7.
17
Let g = 18 + -2. Let s = 10 + 21. What is the remainder when s is divided by g?
15
Suppose -2*g + 5 = 3*c, 2*g - 2*c = 7*g - 18. What is the remainder when 1/1 + g/2 is divided by (-6 + 140/21)/((-2)/(-6))?
1
Suppose -h + 5*k = -6*h + 35, -2*h = 4*k - 10. What is the remainder when 31 is divided by h?
4
Let n be (-2 + 2)/(-3)*1. Let l(j) = -j + 16. What is the remainder when 46 is divided by l(n)?
14
Let i = -9 + 12. Calculate the remainder when i is divided by 3.
0
Suppose 0 = -4*l + 2 + 18. Calculate the remainder when 2/(-5) - (-47)/5 is divided by l.
4
What is the remainder when 38 is divided by (-5)/15*8*-3?
6
Suppose -25 + 7 = -3*p + 3*c, -6 = -5*p - c. Suppose 5*x + 0*y + 2*y - 10 = 0, p*y = 3*x - 6. Calculate the remainder when 5 is divided by x.
1
Let g = -12 + 22. Suppose -3*a = -5*c + 115, 2*a + 14 + 76 = 4*c. What is the remainder when 13 is divided by ((-5)/g)/((-2)/c)?
3
Suppose 2*i - 3*s - 42 = 0, 3*i = -s + 18 + 23. Calculate the remainder when 21 is divided by i.
6
Let c(v) = v**3 + 12*v**2 + 10*v - 13. Let r be c(-11). What is the remainder when -2*(-57)/(-12)*r is divided by 10?
9
Suppose 5*m - 2*m + 14 = -4*p, 0 = 2*m + 3*p + 9. Let f be (3/m)/((-1)/(-36)). Let u = 28 + f. Calculate the remainder when u is divided by 4.
2
Let l = 6 + -18. Let s(g) = -4*g - 24. What is the remainder when s(l) is divided by (-86)/(-10) - 2/(-5)?
6
Let w = -1 - -11. Suppose 3 = -2*s + 4*o - 19, -4*s - 20 = 4*o. Let z = w - s. Calculate the remainder when 50 is divided by z.
16
Suppose 0 = 4*b + 4*w + w - 152, 4*w = -2*b + 76. Calculate the remainder when b is divided by 20.
18
Let r be (1 + 2)*6/9. What is the remainder when 8 is divided by (r/(-2))/((-6)/30)?
3
Suppose 2*b + 3*b = 0, 0 = -3*x - b + 45. Suppose 3*d - 3*s - 102 = 0, 5*d + 4*s - 67 = 2*d. Calculate the remainder when d is divided by x.
14
Suppose u = 6*u - 220. Calculate the remainder when u is divided by 24.
20
What is the remainder when 127 is divided by (-258)/(-4)*((-1)/3 + 1)?
41
Let f(t) = 3*t**2 + 3*t + 2. Calculate the remainder when f(-3) is divided by 8.
4
Let k(i) = -11*i + 6. What is the remainder when k(-3) is divided by 16?
7
Let q be 6*((-4)/(-3))/2. Suppose -2*a = -a + q*l - 46, 230 = 5*a + l. Let o(p) = 3*p**3 - p**2 + p + 2. Calculate the remainder when a is divided by o(2).
22
Suppose -2*q - 133 = -4*q - 3*x, -3*q + 2*x = -206. Let w = q - 40. Calculate the remainder when 55 is divided by w.
27
Suppose 3*p - 27 = -0*p. What is the remainder when 17 is divided by p?
8
Suppose -14 - 3 = -q. What is the remainder when q is divided by ((-9)/12*2 + 0)*-6?
8
Suppose 0 = 3*u - 224 + 77. Let t = u + -11. What is the remainder when t is divided by 13?
12
Suppose 74 - 14 = f. What is the remainder when f is divided by 22?
16
Let b be 1*(-2 - 3) + 3. Calculate the remainder when (b - (-8 + -3)) + -1 is divided by 6.
2
Calculate the remainder when 95 is divided by (-30)/(-9)*((-42)/(-15) - -2).
15
Calculate the remainder when 14 is divided by (-3 - -4)*9/1.
5
Let l(a) = a - 4. Let j be l(7). Let s be (0 - -220)*(-2 + j). Suppose 4*d - s = 12. What is the remainder when d is divided by 20?
18
Let t = -23 - -43. Let a be 1/(-6) + (-226)/12. Let j = a - -77. Calculate the remainder when j is divided by t.
18
Let s(t) = -21*t - 2. Let c be s(-2). Let x = c + -27. Calculate the remainder when 36 is divided by x.
10
Suppose -9 = -4*p + 19. Let t = 1 + 1. Suppose 5 - 1 = t*s. What is the remainder when p is divided by s?
1
Suppose -2*h - 4*d = -40, -7*h = -4*h - 3*d - 42. Let u(x) = -x**2 - 17*x - 21. What is the remainder when h is divided by u(-15)?
7
Suppose -5*s + 54 - 4 = 0. What is the remainder when 109 is divided by s?
9
Let v be (-3)/2*(-1928)/12. Suppose 3*b = -
|
{
"pile_set_name": "DM Mathematics"
}
|
3?
1/7
Evaluate 162/27*(-1)/4.
-3/2
Calculate (-32)/48*24/4.
-4
Calculate ((-2)/6)/(1027/(-237)).
1/13
What is the value of -5*2/22*(-4)/(-10)?
-2/11
(-16)/(-6)*(-22)/(2772/(-54))
8/7
What is -2*(2/(-1))/10?
2/5
Evaluate 1/(-4)*4*(-3)/(-5).
-3/5
(-9)/66*-2*11
3
What is the value of ((-1)/(5/5))/(-5)?
1/5
What is the value of (-65)/(-325)*10/7?
2/7
What is 2/((-60)/(-12)*(-6)/45)?
-3
(84/(-84))/(7/(-1))
1/7
What is the value of 25/500*1*8/3?
2/15
What is (-50)/(-40)*(-4)/(-6)?
5/6
What is (4/8)/(((-3)/(-12))/(-1))?
-2
What is the value of (((-22)/29)/(-11))/(3/(-3))?
-2/29
Evaluate -3*1*12/180*5.
-1
What is the value of (86/(-301))/(2*2/28)?
-2
-7*(-5)/(-35)*1/(-9)
1/9
Evaluate (0/((-4)/(-2)))/((-6)/(-6)).
0
Calculate ((-1)/1)/(7/35).
-5
Evaluate (-10)/((98/(-7))/7).
5
Evaluate ((-2)/(-20))/(4/(-10)).
-1/4
Evaluate (-6)/(-8)*8/54.
1/9
What is the value of ((-7)/(98/8))/(2/(-2))?
4/7
Calculate 4*(3/9)/((-28)/(-147)).
7
(3*1)/((-945)/(-90))
2/7
(2/(-5))/((-2)/(-25))
-5
What is 6*11/(132/(-8))?
-4
What is -16*((-28)/(-14))/(-8)?
4
Evaluate (57/(-38))/(2/(-8)).
6
((-55)/33)/((-2)/3)*1
5/2
Evaluate 16/6*(-27)/(-18).
4
What is the value of ((-3)/(-15))/(8/40)?
1
What is 25/(-350)*2/(24/14)?
-1/12
(0/(-11))/(2/2)
0
(-7)/(14/(-8)*2)
2
What is 16/(-16)*(-3)/(-12)*-2?
1/2
(9/(-12))/(3/(-4)*2)
1/2
Calculate (-50)/15*(-18)/10.
6
What is ((-4)/(-10))/((-8)/(-30)*-3)?
-1/2
105/7*6/(-15)
-6
What is the value of ((-33)/(-110))/(72/20)?
1/12
Calculate (-2)/(-6)*15/(-50).
-1/10
What is the value of 27/(-6)*22/33?
-3
What is (15/(-90))/((-2)/(-8))?
-2/3
Evaluate ((-6)/(-12))/(((-35)/(-8))/7).
4/5
What is 7*7/(63/9)?
7
What is the value of (3*4/(-18))/((-2)/6)?
2
Evaluate (-9)/(-9)*0/1.
0
6/(-4)*(-364)/(-819)*12
-8
Calculate (-42)/14*(-4)/3.
4
What is the value of ((-6)/(-9))/(8/12)?
1
Evaluate 12/24*16/4.
2
Calculate ((-6)/(-60)*-14)/(1/(-5)).
7
Evaluate (33/(-11))/((-3)/2).
2
6*(-12)/126*7
-4
10*1/2*(-6)/6
-5
((-2)/((-8)/4))/(1/(-5))
-5
What is 3*((-70)/(-21))/(-2)?
-5
What is (4*(-4)/(-32))/(18/(-4))?
-1/9
What is 12/27*(-6)/12?
-2/9
What is the value of (-2)/4*(-16)/2?
4
Evaluate (-1)/(-3)*(-108)/9.
-4
(3*-1*4/(-12))/(-1)
-1
What is the value of (-1*5/(-4))/((-11)/44)?
-5
Calculate 4/5*(-9)/(-36).
1/5
What is the value of -2*3/12*2*-3?
3
((0/(-2))/3)/(10/2)
0
Evaluate (-11)/(308/(-16))*7/5.
4/5
Evaluate (8*(-3)/(-42))/(9/7).
4/9
Evaluate (-2)/(-2)*(-88)/(-220).
2/5
What is the value of (-5)/((140/350)/(1/(-20)))?
5/8
What is the value of 4/4*8/36?
2/9
Calculate 5/(-210)*3*1*-8.
4/7
(-28)/8*(-2)/((-560)/8)
-1/10
Evaluate (-9045)/(-4824)*1/((-3)/2).
-5/4
Calculate (0/((-7)/(35/5)))/(-1).
0
Calculate (-6)/(((-266)/152)/((-2)/(-16))).
3/7
Calculate (-2)/(-8)*-3*74/333.
-1/6
4*(75/20)/(-5)
-3
What is (40/35)/(11/77)?
8
Calculate ((-65)/1950)/((-1)/9).
3/10
What is 9*-16*(-16)/768?
3
1/((-8)/(-12)*12/(-32))
-4
Calculate ((-7)/((-224)/(-4)))/(5/(-40)).
1
Calculate ((-40)/100)/((-1)/(-5)).
-2
Calculate 2*(9/(-3))/((-9)/(-6)).
-4
Calculate (-2)/(-1)*(-51)/(-663).
2/13
Evaluate 1/3*((-3)/(-9))/1.
1/9
What is 2/(-2)*(-2)/(-2)?
-1
(5/1)/((-2)/(-4)*-2)
-5
What is 9/24*(-4)/(-3)*2?
1
What is (-10*3/(-72))/(1/(-3))?
-5/4
What is the value of (1/(-4))/((-42)/(-56))?
-1/3
(4/56*14)/((-3)/(-9))
3
What is (-17)/((-1564)/(-8))*(-2)/2?
2/23
What is the value of (96/(-120))/(10/(-75))?
6
What is the value of ((3*2/6)/(-1))/(-1)?
1
What is the value of ((36/40)/3)/(18/5)?
1/12
2/(-4)*-9*20/450
1/5
(-3)/((-18)/8)*485/(-388)
-5/3
What is (4/(-14))/(7*(-96)/(-392))?
-1/6
What is (187/(-374))/(2/(-4)*-3)?
-1/3
What is (-1)/(9/6)*(-15)/(-2)?
-5
Calculate (48/(-64))/((-3)/4).
1
What is 1/(-1)*(-9)/36*28?
7
What is the value of ((15/27)/5)/(1/(-2))?
-2/9
-4*39/208*(-2)/(-6)
-1/4
Calculate (4/(-12))/((-3)/(-54)).
-6
Calculate (0/(6/2))/((-4)/(-2)).
0
Evaluate ((6/(-3))/(-10))/(1/1).
1/5
What is the value of 14/(-2)*12/42?
-2
Evaluate 178/(-1958)*2/(2/1).
-1/11
What is the value of ((-36)/90)/((-6)/10*-1)?
-2/3
(-4)/5*2*75/20
-6
What is the value of (-84)/28*(8/2)/(-12)?
1
(-28)/49*(-4)/(80/42)
6/5
What is the value of (-7)/(168/6)*-6?
3/2
(-492)/(-533)*26/4
6
Calculate (26/65)/((-2)/20).
-4
What is 26/(-39)*(-42)/(-7)?
-4
What is the value of (80/100)/((-34)/(-5))?
2/17
(-96)/36*(-6)/(-4)
-4
Evaluate 0/(12/4)*(-8)/(-40).
0
Evaluate ((-9)/5)/((-123)/(-41)).
-3/5
Calculate 0*(-3)/21*-1.
0
Calculate ((4/(-3))/((-6)/(-27)))/2.
-3
((-320)/(-200))/((-56)/20)
-4/7
Calculate 15/(-5)*1*1.
-3
Calculate (2*8/96)/((-6)/(-90)).
5/2
Calculate ((-76)/(-57))/((-306)/27).
-2/17
Evaluate ((-6)/(-72))/((-3)/(54/4)).
-3/8
What is 18/(-24)*(-5)/((-450)/20)?
-1/6
(-1)/(3*(-20)/24)
2/5
Calculate ((-1)/2)/((-10)/100).
5
Calculate ((120/(-9))/(-4))/((-2)/(-3)).
5
What is the value of (-15)/20*8/(-10)?
3/5
What is (-1)/(-3*1/(-6))?
-2
What is the value of (202/(-202))/(1/(1/12))?
-1/12
Calculate (11/(220/(-10)))/(-1).
1/2
(2/(-12))/((-22)/99)
3/4
What is (7*42/49)/4?
3/2
Calculate (-15)/24*(-6)/15.
1/4
What is the value of 15/18*(-12)/(-24)*3?
5/4
(27/(-30))/(39/(-65))
3/2
Evaluate (-5)/(-6)*24/40.
1/2
((-11)/(-22))/((-3)/10*-1)
5/3
What is ((-126)/(-315))/((-14)/10)?
-2/7
What is the value of ((-3)/(-2))/((78/(-12))/(-13))?
3
Calculate 3/5*(-65)/104.
-3/8
What is ((988/195)/(-19))/(2/(-3))?
2/5
Evaluate ((-14)/(-4))/(-7)*0/3.
0
Evaluate ((-6)/(30/(-5)))/(-2)*-12.
6
Evaluate ((-12)/3)/(-2)*3/51.
2/17
Calculate 18/(-156)*-13*2/3.
1
(12/(-15))/((-8)/40)
4
((-2)/2)/(12/4)
-1/3
12/21*21*5/90
2/3
Calculate 5/(-5)*1*1.
-1
180/(-96)*-4*(-1)/5
-3/2
What is ((-2)/(-6))/((-1)/6)?
-2
((-76)/2280)/(1/3)
-1/10
Evaluate (-6)/(-3)*12/8.
3
What is ((4/3)/4)/((-6)/(-2))?
1/9
What is 32/(-12)*(-1)/324*-9?
-2/27
((-1)/(-1)*98/(-14))/(-1)
7
What is (-5)/8*(-90)/(-225)?
-1/4
What is the value of ((-30)/150)/((-2)/(-2))?
-1/5
What is (-81)/(-27)*(-1)/6?
-1/2
What is -6*((63/(-49))/9)/(-3)?
-2/7
What is (-3)/((-7)/(49/84))?
1/4
Calculate 0/10*(-6)/24.
0
2/(9/(216/(-16)))
-3
Evaluate (7*3/9)/((-45)/(-135)).
7
Calculate -1*(-5)/(-130)*1*4.
-2/13
What is the value of 64/144*2*(-6)/(-32)?
1/6
What is 6/(24/(-4))*1?
-1
What is (-6)/(-5)*(-20)/28?
-6/7
Calculate 1/(-1)*15/45.
-1/3
Evaluate (-12)/48*-20*3/(-5).
-3
What is 18/(-6)*4*2/24?
-1
Evaluate (6/(-4))/3*(-62)/217.
1/7
4/5*(-5)/(-30)*15
2
Calculate (-10)/(-1)*18/36.
5
What is the value of 5*-9*(-16)/(-840)?
-6/7
What is the value of (24*(-4)/108)/(-4)?
2/9
What is the value of ((-16)/(-32))/((-1)/(2/1))?
-1
What is the value of (8/(-6*3/(-9)))/(-3)?
-4/3
What is (40/(-30))/(140/(-45))?
3/7
(72/(-36)*-1*2)/(-1)
-4
Evaluate (5/(20/6))/1.
3/2
Calculate 1/5*(-5)/(-6).
1/6
What is the value of (-14)/4*468/(-182)?
9
What is (0/1)/((-6)/((-3)/1))?
0
Calculate ((-4)/8*-4)/((-20)/30).
-3
What is the value of (((-12)/(-4))/21)/(2/7)?
1/2
What is 25*1*(-88)/440?
-5
What is (-4)/((-2)/(-3)*3)?
-2
What is the value of -12*(-8)/(-128)*-4?
3
Calculate ((-1)/(-2))/((-80)/64).
-2/5
Evaluate (3*2)/((-94)/(-47)).
3
Evaluate 4/3*486/108.
6
Calculate ((9/(-4))/(-9))/1.
1/4
Calculate 2/(-5)*-4*(-2520)/(-3024).
4/3
What is ((-2)/(-8))/((-7)/140*15)?
-1/3
What is the value of 33*(-2)/9*(-108)/99?
8
What is 0*((-36)/8)/(-9)?
0
What is the value of 1/1*(-13)/((-117)/(-45))?
-5
60/(-35)*(-12)/36
4/7
What is 2/(16/4*-1)*6?
-3
5/(20/12)*(-6)/(-9)
2
What is 80/(-70)*(-2)/(-8)?
-2/7
What is ((-2)/2)/((528/6)/8)?
-1/11
What is ((-105)/56)/15*-40?
5
What is 1/7*91/52?
1/4
Evaluate (-44)/110*30/108.
-1/9
What is the value of ((-3)/((-18)/(-3)))/(2/(-2))?
1/2
Evaluate (4/10)/(-1*(-27)/(-15)).
-2/9
What is the value of ((-4)/4)/(2/4)?
-2
(1/3*24)/((-7)/(-7))
8
((-4)/20*4)/((-5)/(-50))
-8
Evaluate (((-48)/4)/4)/(-1).
3
What is the value of (4/((-9)/((-18)/4)))/11?
2/11
What is the value of (174/(-3915))/((-2)/6)?
2/15
Calculate 1*(-4)/(-10)*-5.
-2
35/(-21)*9/(-5)
3
What is 2*5/(-28)*(-440)/275?
4/7
Evaluate (-2)/(126/105*(-15)/9).
1
What is the value of (4/(-6)*3)/1?
-2
Calculate (-8)/9*6/(-40).
2/15
(7/119)/(3/6)
2/17
Evaluate (3/(-6))/(((-5)/40)/(-1)).
-4
Calculate (2*(-2)/(-30)*-3)/2.
-1/5
What is the value of (891/(-396))/(2/(8/6))?
-3/2
What is the value of (-2)/4*6/(-9)?
1/3
Calculate ((-7)/21)/(1/(10/5)).
-2/3
Evaluate ((-4)/(-18)*3)/((-12)/162).
-9
Evaluate (1/2)/((-10)/4).
-1/5
Calculate (6/14*-1)/(6/(-21)).
3/2
|
{
"pile_set_name": "DM Mathematics"
}
|
omposite number?
False
Let l be 8/((-32)/(-36)) - 4. Is l - 4/((-12)/19107) a composite number?
True
Suppose 179*x = 87*x + 88*x + 159708. Is x a composite number?
True
Suppose -3*d + 3*g = 18204, 3*d - 8*g = -11*g - 18186. Let c = d - -49638. Is c composite?
False
Suppose 1468*c - 1398*c - 1677970 = 0. Is c a composite number?
False
Let g(v) = -v**2 - 1 + 23*v + 0*v**2 - 7 + 1. Let b be g(9). Let c = 336 - b. Is c a composite number?
True
Let f = -135019 + 301742. Is f a composite number?
False
Let r(w) = 871*w**2 - 15*w - 3. Suppose -4*x - 8 = 0, -3*x = b - 0*x + 11. Is r(b) a prime number?
False
Suppose 15*h = 4*h. Suppose -3*x - 6 = 9, h = 2*b - 5*x - 3923. Is b a prime number?
True
Let m(h) be the second derivative of 29*h**5/20 + 5*h**4/6 - 2*h**3/3 + h**2 - 12*h. Is m(6) prime?
False
Is 7 + 248*(-16947)/(-21) a composite number?
True
Let y = -1080061 + 1756020. Is y prime?
True
Suppose 53*k = 54*k + 2454. Let t = k + 3913. Is t composite?
False
Let t(a) = 5*a + 18. Let h be t(11). Let b = h - -31. Suppose -38*j + b = -34*j. Is j composite?
True
Suppose -l - 3*y + 63577 = 0, -12*y = -16*y. Is l prime?
True
Let b(l) = l**2 - 2*l + 6. Let s be b(5). Let o(m) be the second derivative of -m**5/20 + 19*m**4/12 + 8*m**3 - 41*m**2/2 + 1504*m. Is o(s) a composite number?
True
Suppose -4*w + 97 = 89. Is w/(-11) - (-2147742)/198 prime?
True
Let m = 33687 - -32087. Is m composite?
True
Let c(w) = -2*w**3 + 8*w**2 - 15*w + 7. Let i = 97 - 88. Let o be c(i). Let d = o - -1335. Is d a prime number?
True
Suppose 2*q - 19456 = -3*z, -3*q - 4*z + 5631 + 23554 = 0. Is q composite?
True
Let q be (1 - 8) + ((-3)/(-3) - 3). Let s be (q/2)/(4/(-1688)). Suppose 23*v + s = 26*v. Is v composite?
True
Let z(w) = 1298*w**2 + 12*w + 127. Is z(9) prime?
True
Let d be (-3)/1 + -2 - -22. Suppose -19*r = -d*r - 4474. Is r a prime number?
True
Suppose 61369*r + 615711 = 61372*r. Is r a prime number?
True
Suppose o = c - 72763, 4*o + 92935 = c + 20172. Is c a composite number?
False
Is (-32)/144*54/12*-305093 prime?
True
Let z = -874 + 1316. Let j = z - 191. Is j a composite number?
False
Suppose -321 = -12*c + 363. Suppose 81*z = c*z + 100824. Is z a composite number?
False
Suppose -61610 = -6*h + 11*h. Let m = h - -25031. Suppose -5*b = 3914 - m. Is b composite?
False
Let w = 17272 - -4515. Is w prime?
True
Suppose 0 = 13*o - 8*o - 325. Let w = o + -68. Is ((-148)/2)/(1 - (-6)/w) a composite number?
True
Let q be 3/(-3 - ((-2)/4 - 3)). Suppose q*b + 3*j + 2693 = 7*b, -4*b + 10794 = -j. Is b composite?
False
Suppose -38*a + 1080 = -2*a. Is ((-48130)/20)/((-3)/a) a prime number?
False
Let k be 53857 - (-5 + 48/8). Suppose -2*n - 2*h = -k, 0 = 3*n + h - 27721 - 53061. Is n composite?
False
Suppose -13*b + 1928312 = 70*b - 29053679. Is b a composite number?
True
Is 357/170*(-30)/(-84) + 724930/8 composite?
False
Let q(p) = 9*p**3 + 16*p**2 + 36*p - 2579. Is q(40) composite?
True
Suppose -o - 5*i + 78979 = 0, 3*o - 281246 = 3*i - 44381. Is o a composite number?
True
Suppose 0 = 59*b + 89*b - 61018772. Is b a composite number?
False
Suppose -498 - 182 = -4*r. Suppose -166*t - 25828 = -r*t. Is t a composite number?
True
Suppose 4*s + z = 118918, 0 = 28*s - 24*s + 2*z - 118916. Suppose s = 25*v - 10*v. Is v a prime number?
False
Suppose -2*i + 6*p = 2*p - 116, -2*i - 3*p = -95. Suppose -4*c - i = -17*c. Suppose c*b - 4*x + 723 = 5*b, -5*x + 2837 = 4*b. Is b a prime number?
False
Is -17 + (4 - -9455) - 0/1 prime?
False
Let n(y) = -12356*y - 6. Let m be n(-1). Suppose -j + 6166 = 2*v - 7*v, 2*j - m = 4*v. Is j prime?
False
Is 5000/(-1875) + (-4321972)/(-6) composite?
True
Let c = -15527 - -45010. Is c a prime number?
True
Let h(c) = c. Let v(a) = -1026*a - 4. Let m(q) = 10*h(q) + v(q). Let f be m(-1). Suppose 0 = -0*p + 4*p - f. Is p a composite number?
True
Let w(f) = -f**3 - 8*f**2 + 7*f - 18. Suppose -65 = 5*m - 2*s - 10, -3*m = -5*s + 52. Let n be w(m). Suppose -9*y + 777 + 6000 = n. Is y composite?
True
Suppose -25 + 79 = 2*i. Suppose 4*p - i = 45. Suppose p - 6 = -4*m, 3*y = -2*m + 10971. Is y composite?
False
Is (-29)/(-3 + (-80072)/(-26692)) prime?
False
Let n(i) = 94*i**2 - 39*i + 449. Is n(12) a prime number?
False
Let m(s) = -3*s - 21. Let y(c) = 2*c + 20. Let a(w) = 5*m(w) + 4*y(w). Let r be a(-4). Suppose -o + b = -413, r*o - 2*b = -o + 1644. Is o composite?
False
Let c(d) = -d**3 + d**2. Let h be c(2). Is (-6520)/(-6) + (h - (-39)/9) prime?
True
Let k(o) = 2253*o + 28. Is k(1) a prime number?
True
Is (1584/(-165) - -9) + (-1933888)/(-5) a composite number?
False
Let c be 2242/11 + 6/33. Let o = 473 + c. Is o composite?
False
Suppose 30*h = 102*h + 104*h - 1611280. Is h prime?
False
Is (((-3)/(-2))/(33/(-22)))/(1/(-28493)) composite?
False
Let c = 44526 + -19190. Suppose -4*a + 3*f = -c, -5*f - 31670 = 9*a - 14*a. Is a a prime number?
False
Let i = -334 - -337. Suppose -i*f + 3*p = -2*f - 2916, -4*f + 11584 = 4*p. Is f composite?
True
Let y = 54 - 58. Let t be 2694 + (-2 - (-6)/3). Is ((-20)/6)/(y/t) composite?
True
Suppose -3*q + 15 = 0, 4*i + 14*q - q - 11997 = 0. Is i composite?
True
Is (1/1)/((-5)/(-15)) + 1562992/4 composite?
False
Let t(j) = -j**3 - 9*j**2 - 11*j - 21. Let n be t(-8). Suppose -5*o + 2187 = 3*f + 326, o = n*f + 365. Is o a composite number?
True
Suppose 0 = -7*s - 26*s + 178110 + 1412391. Is s prime?
True
Suppose p - 4 = 1. Suppose -440 = 3*d - p*d. Let x = 513 - d. Is x prime?
True
Is (-1 - -43660) + 25 + -24 + 7 a composite number?
True
Is 35 + 264/(-24) - -17221 a composite number?
True
Is (-534893)/(-107) + -6*2 prime?
True
Suppose -5*h = -4*x - 474, -4*x - 4*h = -8*h + 472. Let q = -166 - x. Let o = q - -105. Is o composite?
True
Let c = -180 - -182. Is c/(-8) - 401390/(-88) composite?
False
Suppose 9*l - 25784 = 21718. Suppose 5*g - k - 26510 = 0, -5*g + 4*g + 5*k = -l. Is g a composite number?
False
Suppose 2*o = -3*l + 16845, -l - 61*o + 5628 = -56*o. Is (-4 - (-3 + 0)) + l + -9 composite?
True
Is (-1 - -7)*(-48)/1008 - 36233538/(-42) composite?
False
Suppose -3*d + 4*k = -869771, -4*k + 532504 = -5*d + 1982117. Is d prime?
False
Let l(n) be the first derivative of 231*n**2 - 5*n - 2. Suppose 0 = -k - 3*x, -13*x = 4*k - 8*x - 14. Is l(k) composite?
False
Let d = -6704 + 10810. Let i = d - -6251. Is i a composite number?
False
Suppose 0 = 13*j - 15*j - 4*v + 214634, -3*v + 21 = 0. Is j composite?
True
Let u = -12 + 7. Let l(p) = -p**3 + 4*p**2 - 3*p + 411. Let g(d) = 2*d**3 - 7*d**2 + 5*d - 822. Let r(v) = u*l(v) - 3*g(v). Is r(0) composite?
True
Suppose 0 = 5*m - g - 28, -14 = -5*m + m - 2*g. Suppose -m*n + 58021 = 4*l, 3*l = 5*n + 24213 + 19329. Is l prime?
False
Let d be ((-154)/(-5))/((-5)/(-875)). Suppose 0 = 4*c - 4, s - d = 4*c - 2*c. Suppose -s = 10*g - 18*g. Is g prime?
False
Suppose 1364*o - 16253171 = 1353*o. Is o prime?
False
Let d(b) = 91*b - 8. Suppose -3*o - 2 = -2. Let s be (3/6)/(o + (-4)/(-24)). Is d(s) prime?
False
Let r(c) = -1726*c - 2445. Is r(-7) a composite number?
True
Let x = -1191 - -1693. Let t = x + 585. Is t prime?
True
Suppose 0 = -y - l - 3348, y - 2*l - 10049 = 4*y. Let x = -4 + y. Let u = -2302 - x. Is u prime?
False
Let c(d) = -5775*d - 179. Let x(u) = -u - 2. Let l(v) = c(v) - 3*x(v). Is l(-5) composite?
False
Suppose 37*l - 7445476 = 14635498 - 4263661. Is l prime?
True
Let c(i) = i**2 + 8*i + 9. Let y be (-20)/(-40)*(-15 - -1). Let j be c(y). Suppose 0 = j*g - 14 - 176. Is g prime?
False
Let p = -338 + 341. Is (-1)/1 + 12406 + (-12)/p prime?
True
Is (-15)/((-225)/(-267879))*-5 composite?
False
Let i(x) = 15*x**2 - 12*x + 19. Let t be i(7). Suppose 4046 = 12*f - t. Is f composite?
True
Suppose -4*x - 82*u + 118214 = -80*u, -5*u = 3*x - 88678. Is x a prime number?
False
Suppose -2*p - 1 + 36 = -5*m, 0 = -3*p - 5*m + 15. Suppose -15535 = -23*f + p*f. Is f a composite number?
True
Suppose 2*r = 4*h - 62, -4*r = 4*h - 45 - 23. Suppose 4*n + 0 = h. Suppose -5*v + 1169 = j, -8*v = -7*v - n*j - 217. Is v a prime number?
True
Let v(i) be the third derivative of 3757*i**6/30 - i**5/60 + 5*i**4/24 - 5*i**3/6 + 3*i**2 - 19. Is v(1) composite?
True
Let l(z) = 76*z**2 + 56*z + 1. Let v(j) = j**3 - 18*j**2 + 33*j - 24. Let d be v(16). Is l(d) composite?
True
Suppose -3631 - 19577 = -6*v. Let y = 5711 - v. Is y
|
{
"pile_set_name": "DM Mathematics"
}
|
Expand (28 - 15 - 16*d**3 - 11)*(-25*d**2 - 552 + 552).
400*d**5 - 50*d**2
Expand (n**3 + 6*n**3 - 5*n**3)*(0 + 0 - 2)*(1 - 1 - 2*n)*(-2*n - 3 + 3).
-16*n**5
Expand (-q - q + 0*q)*(0 + 2 + 0) + 0*q + 2*q + 3*q + (1 + 2 - 1)*(-q - q + 12*q).
21*q
Expand (5 - 4 - 5)*((3 + w**2 - 3)*(-4 + 5 + 0) - 10*w**2 - 11*w**2 + 43*w**2).
-92*w**2
Expand 12*o**2 - 12*o**2 - 4*o**4 + (9*o**2 - 2*o**2 + 12*o**2)*(0*o**2 + 0*o**2 + 4*o**2).
72*o**4
Expand (-3*r + 3*r - 2*r)*(267*r - 22*r**2 - 267*r + (1 + r - 1)*(0*r - r + 0*r)) - 2*r**3 + r - r.
44*r**3
Expand (3*d - 3*d - d + (d - 3*d + 0*d)*(2 + 0 + 8))*(6 + 0 - 4).
-42*d
Expand (6*j - 3*j - 2*j + j - 4*j - j + (j - j - j)*(5 - 6 - 1))*(-8*j + 8*j + 27*j).
-27*j**2
Expand (0 - 1 + 3)*(-9*m + 5*m + m)*(-5 - 2 + 2).
30*m
Expand (-2*z + z - 4*z)*(-38*z**2 - 33*z**2 + 7*z**2).
320*z**3
Expand (2 - 1 + 0)*(-o**2 + o**2 - 2*o**3) - 2*o**3 + 13*o**2 + 57*o**3 - 16*o**3.
37*o**3 + 13*o**2
Expand (3 + 3*z - 3)*((8 - 4 - 32)*(-6 + 6 + 3*z) + 6*z - 2*z - 3*z).
-249*z**2
Expand -4 + 2 - 2*w**2 + 0 - 3*w**2 + w**2 + 4*w**2 + 0*w**2 - w**2 + 2*w**2 + (-4 + 3 + 8)*(4*w**2 - 3*w**2 + 4*w**2) + 0 + 0 + 3*w**2.
39*w**2 - 2
Expand (-n - 4 + 4)*((-1 + 6 - 1)*(-1 + 3 - 1) + 3 - 1 + 2)*(-2 + 2 + 3*n) - 4*n**2 + 2*n**2 + 0*n**2.
-26*n**2
Expand (7 - 20 + 31)*(-5 + 1 + 3)*(-38*x**5 + 58*x**5 - 33*x**5).
234*x**5
Expand (-2*a**2 + 10*a**2 - 7*a**2 - 18)*(97 + 5*a - 97).
5*a**3 - 90*a
Expand 86*u**4 + 17*u**5 - 8*u**5 - 7*u**5 + (-5*u**3 + 4*u**3 + 3*u**3)*(-3*u**2 + u**2 + 0*u**2).
-2*u**5 + 86*u**4
Expand 86*o**5 + 7*o**4 + 2*o**2 - 61*o**5 - 41*o**5 + (2*o**4 + 0*o**4 + 0*o**4)*(-2*o - 4*o + 4*o).
-20*o**5 + 7*o**4 + 2*o**2
Expand (-11*t**3 - 5*t**3 + 4*t**3)*(2*t**2 - 7*t**2 - 2*t**2) + (0*t**5 + t**5 - 2*t**5)*(2 - 2 - 3).
87*t**5
Expand (-3 - 8 - 3*l + l + (-5 + 2 + 2)*(-5*l + 3*l + 4*l) + 5*l + l - 5*l + 9*l - 8*l + 10*l)*(-l - l + 4*l).
16*l**2 - 22*l
Expand (-13*k**2 + 30*k**2 + 16*k**2)*(4 - 6 + 1).
-33*k**2
Expand (1 - 1 - o**2)*(2162*o**2 - 843*o**2 - 193*o**2).
-1126*o**4
Expand 5*n + n - 4*n + ((3 - 2 + 1)*(2 - 4 + 0) - 4 + 4 - 2 + 4 + 0 - 2)*(-31475 + 31475 - 408*n).
1634*n
Expand (42 + 3*x**2 - 43 + x**2)*(-2*x + 0 + 3 + 0)*(2 + 2 - 1).
-24*x**3 + 36*x**2 + 6*x - 9
Expand (4 + 7*g**2 + 4*g**2 - 10*g**2)*(-2*g**3 + 8*g**3 - 2*g**3).
4*g**5 + 16*g**3
Expand 3 - k**2 - k**2 + k - 3*k + (k**2 - 2*k**2 - k**2)*(1 + 0 - 3) + 2*k**2 - 2*k**2 + 4*k**2.
6*k**2 - 2*k + 3
Expand 9*x**3 - 9*x**3 - 5*x**4 + (x**2 + 0*x**2 + 0*x**2)*(1 - 1 - x**2) - 19*x**3 + 19*x**3 - 20*x**4 - 5*x**4 + 3*x**4 - x**4.
-29*x**4
Expand (-5*h**2 + 5*h**2 - 2*h**3)*(1515*h + 1174*h - 2177*h)*(5 - 4 - h + 1).
1024*h**5 - 2048*h**4
Expand (-2*y + 0*y + y)*(-3*y**4 + 3*y**4 + 35*y**4) + (6*y - 3*y - 2*y)*(4*y**4 + y**4 - 2*y**4).
-32*y**5
Expand (r - 13 + 5 + 21)*(-2*r**2 + 0*r**2 + 0*r**2).
-2*r**3 - 26*r**2
Expand -197*i + 2 - i**4 + 197*i + (i + i - i)*(3 - 3 + i**3) + 14*i - 2*i**4 - 14*i + (-i + 2*i - 3*i)*(-2*i**3 + 4*i**3 + 0*i**3).
-6*i**4 + 2
Expand 2*r**4 + 3*r**4 - 7*r**4 + (-4 + 1 + 0)*(-2*r**4 - 1 + 1) - r**4 - 4*r**4 + 2*r**4 + (0 - 2 + 3)*(3*r**4 + r**4 - 3*r**4).
2*r**4
Expand (1 - 2*i**2 - 1)*(3*i + 0*i - 5*i) + 2*i**3 + i**2 - i**2 + 59*i**3 + 164 - 164.
65*i**3
Expand (4 + 2*p - 4)*(1170*p**2 - 581*p**2 - 589*p**2 + 2133*p**3).
4266*p**4
Expand (867 - 867 - 39*p)*(2*p + 0 + 0)*(2 - 4 + 3).
-78*p**2
Expand (-4 + 0 + 1)*(-n - n + n + (2 - 2 + 1)*(-n + 0*n + 0*n) + n + 11 - 11 + 144 - 144 - 7*n).
24*n
Expand (x**2 - 5*x**2 + 2*x**2)*(-2 + 2 - x) + (2*x + 3*x - 3*x)*(-60*x**2 + 68*x**2 - 2*x + 63*x**2 + (0 - 2 + 0)*(2*x**2 - 2 + 2)).
136*x**3 - 4*x**2
Expand (-6*l**2 + 4*l**2 + 3*l**2)*(4*l + 59*l**3 - 3*l + 17*l**3).
76*l**5 + l**3
Expand (-2 + 3 + 1)*((3 + 0 - 2)*(-6*v - 10 + 10) - 2 + 2 + 2*v) + 3*v + 0 + 0.
-5*v
Expand (50*n - 50*n - 47*n**3)*(3*n - 3*n + 2*n) + (n + 2*n - n)*(4 - 4 + 5*n**3).
-84*n**4
Expand (2 - 113*t + 9 + 112*t)*((1 + 4 - 3)*(0 - 4 + 5) - 4 + 0 + 2 + 1 + 3 - 1).
-3*t + 33
Expand (-3*n + 2*n + 0*n)*(-2 + 2 + 2*n) - 3*n**2 + 2*n**2 - n**2 + (-26 + 35*n + 26)*(-6*n + 3*n + n).
-74*n**2
Expand (14 + 10*u**3 - 8*u**3 - 1)*(4*u + 4*u - u + (-2 + 2 + 2*u)*(4 + 0 - 1)).
26*u**4 + 169*u
Expand -23 + 23 - 5*z**2 + (0 + 1 + 1)*(6*z - z - 4*z)*(4*z - 3*z - 3*z).
-9*z**2
Expand (2 - 3 - 1)*(2*m + 4*m - 4*m)*(-3*m - 3*m + 2*m)*(m**3 + 7*m**2 + 27 + 22*m**2 - 25).
16*m**5 + 464*m**4 + 32*m**2
Expand (11 - 10 - 2*x - 2)*(-3 + 5 + 1).
-6*x - 3
Expand (v - 1 + 1)*(2*v - 5*v + 5*v) + (2*v - v + 0*v)*(-75*v + 63*v + 66*v)*(-2 + 1 + 3).
110*v**2
Expand ((-8 + 8 - 12)*(0*a - a + 0*a) + 4*a - a - 4*a)*(a**2 - 3 + 3).
11*a**3
Expand -17*m**4 - 187*m**3 + 187*m**3 + (-m + 2*m**2 + m)*(m**2 + 2*m**2 - m**2) - 2*m**4 - 3*m**4 - 3*m**4.
-21*m**4
Expand (-1 - 3 + 3)*(3*y - 4*y + 0*y) - y + 3*y + 0*y + (3 - 4 + 0)*(-418 + 418 - 31*y).
34*y
Expand (0*r + 0*r - 2*r**3)*(238*r - 63*r - 123*r) + 2*r**4 - 2*r**4 - r**4.
-105*r**4
Expand (3*f + 0*f**4 + 6*f**3 - 2*f**4 - 4*f)*(60 + 63 - 124) + 3*f**4 + f**4 - f**4.
5*f**4 - 6*f**3 + f
Expand (0 + 0 + 1)*(-l + 3*l - l) - 36*l - 56*l - 39*l + (0 - 1 - 1)*(-l - 2*l - 2*l) + 0*l - 2*l + 3*l.
-119*l
Expand (-100*l**5 - 1 + 103*l**5 - 9*l + 488*l**4 - 493*l**4)*(2 + 3 - 3).
6*l**5 - 10*l**4 - 18*l - 2
Expand -2*c**5 + c**5 + 3*c**5 + (-c + 2*c + 4*c)*(-7*c**2 + 5*c**4 + 7*c**2) + 2*c**5 + c**5 - 4*c**5.
26*c**5
Expand (-v + 1 - 1)*(419*v**2 - 104*v**2 + 435*v**2) + (2*v - 2*v - 2*v)*(-2*v**2 + 2 - 2) - 3*v**3 - v**3 + 3*v**3 + 0*v**2 + 0*v**2 - 2*v**3.
-749*v**3
Expand (-22*h**3 + 22*h**3 + 4*h**4)*(-2 + 0 + 4 + 1 - 1 - 2 + (-3 + 4 + 1)*(0 + 0 - 1) + 6 - 8 + 17).
52*h**4
Expand (-6*z + 7*z + 6*z)*(1 + 1 - 1) + (-4*z + 0*z + 2*z)*(-3 + 5 - 4) - 3 + z + 3 + 0*z - 1 + 3*z - 6*z.
9*z - 1
Expand (-2 + 3 + 26)*(-33 + 7*k**4 + 33).
189*k**4
Expand (1 + 4 - 4)*(-23*o - 16*o - 6*o).
-45*o
Expand (-8 + 17 + 53)*(-6 - 2 + 2)*(-5*j + 5*j + j)*(5*j**3 - 3*j**3 + 0*j**3).
-744*j**4
Expand (12 + 39 + q - 25)*(-6 + 2 + 3).
-q - 26
Expand -5 - 4*m**2 + 26*m**2 + 2*m**2 + (2*m**2 - 2 + 2)*(3 + 1 - 2).
28*m**2 - 5
Expand (3*z - 1 + 1 + (-z + 2 - 2)*(-2 + 1 - 1) - 1 + 2*z + 1 - 2*z - 2*z + 3*z + 5*z - 1 + 2*z - 5*z)*(-2*z**4 + 20*z**4 + 2*z**4).
160*z**5 - 20*z**4
Expand (-2 + 1 - 1 + (3 - 3 + 2)*(4 - 2 - 3) - 2 + 0 + 3 + 4 + 4 - 1)*(-2*k - 3*k + 4*k)*(6*k**2 - 6*k**2 + 3*k**3).
-12*k**4
Expand ((0 + 0 - j)*(-4 + 3 - 1) + 4*j - 8 + 8)*(-4*j**4 + 8*j**4 - 11*j**4) - 3*j**5 + 1 - 1.
-45*j**5
Expand ((-1 + 2 - 3)*(0 - 3 - 1) - 4 - 1 + 4)*((3*s - 3 + 3)*(-4*s + 3*s + 3*s) + (-4*s - 2*s + 5*s)*(-3*s + 2*s - s)).
56*s**2
Expand (34 + 7 - 16)*(-7*w**2 + 5 - 4 + 6*w**2 + w).
-25*w**2 + 25*w + 25
Expand (3*l**2 + l**2 - 2*l**2)*(-53*l + 108*l - 9*l)*((-3*l**2 + 6*l**2 - 2*l**2)*(-5 + 2 - 1) + l**2 - 1 + 1).
-276*l**5
Expand (-4*m**2 + 7*m**2 + 2*m**2 + (m - m + 2*m)*(-2*m - 1 + 1))*(-2*m - 3*m + m).
-4*m**3
Expand (1 - 4 + 2)*(28*x - 29*x - 11*x)*(-2*x + 4*x - 3*x)*(0*x + 2*x + 0*x)*(-5 + 5 + 1).
-24*x**3
Expand (-3*b + b + 3*b)*(-1652 + 1652 - 42*b)*(0 - 3 + 10 + 0 - 3 + 2 + (-4 + 2 + 3)*(2 - 3 + 0) + 1 + 5 - 5 - 2 + 0 + 0).
-168*b**2
Expand (h**4 - 351*h + 351*h)*(2*h - 4 + 2 + 3).
2*h**5 + h**4
Expand (m**3 - 6*m**3 + 4*m**3)*(-1 - m + 1) - 62*m - 149*m**3 + 149*m**3 + 62*m + 4339*m**4.
4340*m**4
Expand (-5 - 9*f**2 + 5)*(8*f**2 + 7*f**2 - 3*f**2).
-108*f**4
Expand (-y**2 - 4*y + 4*y)*(216 + y - 216 - 7*y**2).
7*y**4 - y**3
Expand (6*c - 4*c - c)*(7 + 3 - 3).
7*c
Expand (2 - 2 - 2*w)*(13910*w**2 - 13910*w**2 + 94 - 2*w**4).
4*w**5 - 188*w
Expand 97*h - 299 + 299 + (-h + 5*h - 2*h)*(0 + 0 - 2).
93*h
Expand (-3 + 5 + 0)*(-3*v - 5*v + 0*v + (0 + 0 - v)*(6 - 1 + 0)).
-26*v
Expand 0*h**4 - 5*h**5 + 0*h**4 + (-2*h**2 + 2*h**3 + 2*h**2)*(-4*h**2 - 11 + 11) + 1 - 2*h**5 - 1 + 0*h**5 - 5*h**5 + 3*h**5.
-17*h**5
Expand r**4 + 0 + 0 + (2*r**2 + 3 - 3)*(r**2 - 3*r**2 + 4*r**2) + 5*r - 5*r + r**4 + 2*r**4 + 2*r**4 - 3*r**4 - 3*r**3 + 3*r**4 + 2*r**3 + r**4.
11*r**4 - r**3
Expand (-7 - 1 - 2)*(-r**2 + 4*r**2 - r**2) + (3*r + 2*r - 3*r)*(-r - r + 5*r).
-14*r**2
Expand (-113*n**3 - 42*n**3 - 5*n**3)*(5*n - 5 + 5).
-800*n**4
Expand (-99*l**2 - 87*l + 87*l)*(16*l - 4 - 5*l + 2).
-1089*l**3 + 198*l**2
Expand (15*h - 8*h + 30*h)*(0 - 4 + 1).
-111
|
{
"pile_set_name": "DM Mathematics"
}
|
8/15
Which is the nearest to -871? (a) 37 (b) 0.1 (c) -4/23
c
What is the closest to -5 in 30, 1, 2/3969?
2/3969
Which is the nearest to 3/19? (a) -4/5 (b) 3/5 (c) 3 (d) -5/4 (e) 0.5 (f) -66
e
Which is the nearest to -2/3? (a) 1601 (b) 411 (c) 5
c
What is the closest to 1 in 1, 113, 932?
1
What is the closest to -11/6 in 1/2, 5, 13, -585?
1/2
What is the closest to 47/2 in -14/9, 7, -1/2?
7
What is the nearest to -0.2 in 59570, 26, 1/7, 5?
1/7
What is the nearest to 0.06 in 12, -6, 79?
-6
What is the closest to 2/5 in -70.2, -12/5, 1, -0.238?
1
Which is the closest to 57478? (a) 2/5 (b) -5 (c) 0.1
a
Which is the nearest to 159? (a) -1638 (b) 1/20 (c) -2
b
Which is the closest to -0.1688? (a) -1/2 (b) -39.9 (c) -8
a
Which is the closest to -2? (a) 4 (b) -501 (c) 291/11 (d) 0 (e) -1
e
What is the closest to 39 in -0.024, -3/8, -1.1, -16?
-0.024
What is the closest to -80735 in 2/13, 0.2, 23, -2?
-2
Which is the closest to 62/19? (a) -2 (b) 1/5 (c) 2/41 (d) 8
b
Which is the closest to -7? (a) 36 (b) 6 (c) -4 (d) 0.06 (e) -0.6 (f) 1
c
What is the nearest to 0.1 in -19.61, 311738, 0.4?
0.4
What is the closest to -2/9 in -513, 0.9, -0.03167?
-0.03167
Which is the nearest to -0.29? (a) 21 (b) -1 (c) -2 (d) -0.03 (e) 8.3
d
What is the nearest to 21 in 0.0005, 6, 2/3, 3, 2/13?
6
What is the closest to 0.1 in 4, 22, -0.041, 4/9, 335/3?
-0.041
Which is the closest to 26/25? (a) -2/95 (b) 4 (c) -0.2 (d) 11 (e) -4
a
Which is the nearest to -0.08? (a) -1.8 (b) -0.4 (c) -446 (d) 0.03 (e) 4
d
What is the nearest to 0 in 5/16, -1/6, 1, -13, 0.2?
-1/6
What is the closest to 97 in 0.2, -74, 3, -2, 12?
12
What is the nearest to 48721 in -1, 0.4, -1/2?
0.4
Which is the nearest to 3/2? (a) 5/4 (b) -0.09 (c) 4511 (d) -2/19 (e) -3
a
What is the nearest to -726 in 0.4, 4, -0.7, 187?
-0.7
Which is the nearest to 6? (a) 0.5 (b) 537 (c) 24/55
a
What is the nearest to -547 in -4/3, 2/11, -4?
-4
Which is the closest to 10? (a) 5 (b) 0 (c) 11 (d) 1 (e) -1 (f) -52
c
What is the nearest to -0.7 in -2, 490, -0.03, -21/4?
-0.03
What is the nearest to 102 in -2/13, -193, 5, 2/15, 0?
5
Which is the closest to 0.01? (a) -4 (b) 0.5 (c) -164 (d) -6/7
b
What is the closest to 2/2141 in 2, -1/2, 1.283?
-1/2
What is the nearest to 3 in 0.3, -4148, -248?
0.3
What is the nearest to 1230 in -0.3, -0.1, 106, -3?
106
Which is the nearest to 1? (a) -4 (b) -0.7 (c) -5/2 (d) 526 (e) -43
b
Which is the closest to -1? (a) -14 (b) -366 (c) 14877
a
Which is the closest to -11? (a) 2/7 (b) -286.06 (c) 4 (d) 9
a
What is the closest to 0 in 22, -5, 38, 1/6, -83, -13/3?
1/6
What is the closest to -0.3 in 0.3, 24/115, -0.0747, 4?
-0.0747
Which is the closest to 1? (a) 0.1 (b) -6 (c) -17 (d) 6.7 (e) 0.9
e
Which is the nearest to -4? (a) -250/23 (b) 0.4 (c) -8
c
Which is the closest to -0.5? (a) 0.4 (b) -11/5 (c) 615 (d) 2/27 (e) -5
d
Which is the closest to 1/2? (a) 126 (b) 5 (c) -2858.2
b
Which is the closest to 17991/4? (a) 0.4 (b) -0.3 (c) 13 (d) -0.4
c
What is the nearest to -0.8 in 0, 1, 25/12, -1, 7?
-1
Which is the nearest to 1? (a) 2 (b) 3/7 (c) -2/19 (d) 226 (e) 4
b
What is the closest to 2 in -10, 1, -311.77?
1
What is the closest to -1 in -3/7, 29, -3, -446?
-3/7
What is the nearest to 242.3 in -2, 1, 0.41, -5?
1
What is the nearest to 6 in 0, -1/63, 2/7, 2/9, 314, -0.11?
2/7
What is the closest to -20 in -0.2, 0.581, 0.5, 5, 42?
-0.2
What is the nearest to 620 in 0.4, 20, -3/4, -350?
20
Which is the closest to -2/41? (a) -0.036957 (b) 0 (c) -2 (d) -5
a
Which is the closest to 1/2? (a) -0.7 (b) -1.82 (c) 5.7 (d) 5
a
Which is the nearest to -0.365? (a) 0.134 (b) -1 (c) -0.13
c
What is the nearest to -0.92 in 1/2, -3/8, 12, 0, -0.2?
-3/8
Which is the nearest to 0? (a) 0.2 (b) 10.5 (c) 1.38 (d) -2
a
Which is the nearest to -37? (a) -2243131 (b) -3/5 (c) 2/5
b
Which is the nearest to -0.13? (a) 982 (b) 0.3 (c) -49/3 (d) 4
b
Which is the closest to 0.1? (a) 0 (b) -1/3 (c) 2/103 (d) 142
c
Which is the closest to 6/49? (a) 0.6 (b) -0.3 (c) 1 (d) 5 (e) -5907
b
Which is the nearest to 0? (a) 0 (b) -0.5 (c) -24169/524
a
Which is the nearest to 5? (a) 4 (b) 347.7 (c) -1/12 (d) 2
a
What is the nearest to -2 in 0.1, -1, -3/28, 3/2, 4, -5404?
-1
What is the nearest to 7 in 0.5, -4, 5, 377, 3/4?
5
What is the closest to 4 in -0.007, 18, 2, -3?
2
What is the nearest to 1/4 in -1/4, 0.7071, -3/7, -0.4, 1, 1/102?
1/102
Which is the nearest to -2/7? (a) -11.37 (b) 0.2 (c) 17/6 (d) -4 (e) 3 (f) 1/3
b
Which is the nearest to -15987? (a) 8 (b) 2/11 (c) 0
c
What is the nearest to 2.3 in -3/7, 3955, -1.16?
-3/7
Which is the nearest to 2? (a) -8 (b) -0.3 (c) 308 (d) -1/2 (e) -13 (f) -3
b
Which is the nearest to 983? (a) -2 (b) 2 (c) 0.2 (d) -1/35 (e) -11/3
b
What is the nearest to -0.5 in -0.3, 12.0874, 0.4?
-0.3
Which is the closest to 4.16? (a) 2/11 (b) 0.13 (c) -3 (d) -1
a
What is the nearest to 24.3 in 0.25, -7, 4/5, -2/11?
4/5
Which is the closest to -0.01? (a) 0.2 (b) -6 (c) -53 (d) 2629 (e) 3/4
a
Which is the nearest to 0.2? (a) 3 (b) 2 (c) -4 (d) -260.2 (e) 0.2 (f) -4/5
e
Which is the closest to -7? (a) -6 (b) -8186 (c) 0.133
a
What is the nearest to 4/37 in -2/7, -5, -0.1, 235310, 3?
-0.1
What is the closest to 0.927 in 3/25, 1/4, -1/3, 0.26, -3/5?
0.26
What is the closest to -11 in -3, 3, -0.5, 926, -9?
-9
What is the closest to -0.1 in -1, 571576, 11, -2?
-1
Which is the nearest to -7.3? (a) 0.09 (b) 1/2 (c) 502
a
What is the nearest to 0 in 1/4, 0.5, -2498, 46.9?
1/4
Which is the closest to -2/5? (a) 5 (b) 4.8 (c) -1/3 (d) -1.07 (e) -1/5
c
Which is the closest to -0.1? (a) -0.5 (b) 14567/3 (c) -82
a
Which is the closest to -1? (a) 5 (b) 0.051 (c) 1/4 (d) 0.2 (e) 0.04 (f) 1
e
What is the closest to 1/126345 in 1.2, -2/9, -2, -1/5, 1/7, -3?
1/7
Which is the nearest to 55? (a) 1/6 (b) 2 (c) 6 (d) -0.2 (e) 2449
c
Which is the closest to 1465? (a) 3 (b) -2/5 (c) 0.36 (d) -107
a
What is the nearest to -4.4 in -2/11, 12/7, -1, 4, -2?
-2
Which is the closest to 158080? (a) -1 (b) -4/7 (c) 2 (d) -12
c
Which is the closest to 20? (a) 4/3 (b) 0.1 (c) 196 (d) 8 (e) -2/29
d
What is the nearest to -1 in 145, -69, -0.3, 2?
-0.3
Which is the nearest to 0.1? (a) 11/6 (b) -4050 (c) -2/11 (d) 1.1 (e) 4
c
What is the closest to 4/3 in -3, -1970, 4.053?
4.053
Which is the nearest to -6? (a) -3 (b) 1/5 (c) 619 (d) 3 (e) 3/7
a
What is the closest to 2/19 in 2/155867, -1/4, 2?
2/155867
Which is the closest to 401? (a) 0 (b) -4/5 (c) 0.2 (d) 37/2 (e) 3
d
Which is the closest to -5? (a) -9 (b) -18 (c) 5438
a
What is the closest to 113 in -6, 0.4, 3/4, 97?
97
What is the nearest to 260 in 761, 0.2, -0.25?
0.2
What is the nearest to -0.3 in -0.2929, -12, 13, 1/4, -5/6?
-0.2929
Which is the nearest to 2/7? (a) -1/11 (b) -21/20 (c) -41764
a
Which is the nearest to 2/4397? (a) -0.052 (b) 2 (c) -2 (d) 3/4
a
Which is the nearest to -7? (a) -4 (b) 106.7 (c) -0.09 (d) 3 (e) 10 (f) -0.3
a
Which is the nearest to -4/5? (a) 177 (b) -10 (c) -2/25 (d) 46
c
What is the nearest to -5 in 4/81, -2, 2/11, 1/5, 8/5?
-2
Which is the closest to -0.2? (a) -2/13 (b) -0.2 (c) -1/4 (d) -6/11 (e) -2/7 (f) -2/5
b
Which is the closest to 1.1? (a) 8.5 (b) 74/11 (c) -8/7
c
Which is the closest to -0.053? (a) -1/42 (b) 5 (c) 1/473 (d) 2
a
What is the closest to -2 in 7234, 2, 1/123, 0?
0
Which is the nearest to 0.59? (a) 2 (b) -0.5 (c) 1/2 (d) -7 (e) -0.21
c
What is the nearest to 3/853 in -1/7, 1/2, 3/4, -3?
-1/7
What is the nearest to -30 in -343103, -3, 4?
-3
What is the closest to -562439 in 0, 3, 2?
0
Which is the closest to 0.1? (a) 0.8 (b) -64 (c) 12/13 (d) -2
a
What is the closest to 2 in 2/3, -1, 1.85015?
1.85015
Which is the closest to -1/3? (a) 1.4 (b) -2/409 (c) 116 (d) 2
b
Which is the nearest to 0? (a) -5/3 (b) -2 (c) 1 (d) -9.8 (e) 3921
c
Which is the closest to -128? (a) -0.2 (b) 4/5 (c) -3 (d) -1/39 (e) -0.6 (f) -5
f
What is the closest to -1 in 0.04, -1/4, -213?
-1/4
Which is the closest to 1/7? (a) -5 (b) -3/2 (c) -2611
b
Which is the closest to -65?
|
{
"pile_set_name": "DM Mathematics"
}
|
Let f = x - d. Is f composite?
False
Suppose -3*z - 15 = -0*z. Let x = 41 - z. Is x prime?
False
Suppose -478 = -n - n - 2*a, 2*n = -3*a + 480. Is n prime?
False
Let i be ((-4215)/(-5))/(3/2). Suppose i = 4*n - 202. Is n prime?
True
Let t(c) = 5*c**2 + 5*c + 3. Let u be t(-5). Suppose u = 2*z - 7. Is z prime?
False
Let q = 88 - 57. Is q a composite number?
False
Let o(c) be the second derivative of 5*c**3/6 - 2*c**2 - c. Is o(7) a prime number?
True
Suppose 0 = 2*x - 2*z + z - 3, -20 = -4*z. Suppose -2*h + 0*h = -x*d + 452, -2*h = 3*d - 353. Is d composite?
True
Is (-2)/9 + 73853/117 a prime number?
True
Is (-1676)/((-10)/6 + 2/(-6)) composite?
True
Let s = 6 + -8. Let h be (-1 - s)*(-2 + -1). Is (-109 - h)/(-1 + -1) composite?
False
Let j = 554 - 291. Is j prime?
True
Suppose 0 = -7*z - 2066 + 8485. Is z a prime number?
False
Suppose 0 = -2*s - 2*v, -4*s - v + 12 = -0*v. Suppose 1445 = s*w - 219. Suppose -w = -5*l - 3*b + 48, l - 82 = 3*b. Is l a composite number?
True
Let c(a) = 55*a**2 - 8*a - 19. Is c(-4) a prime number?
False
Let r(k) be the second derivative of 7*k**3 + k**2/2 + k. Is r(3) a composite number?
False
Let t(n) = 2*n - 1. Let k be t(-1). Let u(h) = -3*h + 1. Is u(k) composite?
True
Suppose d + 2*u + 12 = -3*u, -2*d + 3*u = -15. Suppose -1767 = -3*n - 0*n - 3*t, d*n - 1771 = -5*t. Is n a composite number?
False
Suppose -o + 836 = s + 3*o, 5*s = -2*o + 4234. Suppose 4*n - s = -4*i, -5*n + 0*i + 1066 = 2*i. Is n composite?
True
Is 12/(-30) + (-2547)/(-5) a prime number?
True
Let n = 42 - -9. Is n prime?
False
Is (1 + -6)*1/(-5)*3637 composite?
False
Suppose 3*w - 189 = -4*j + 2*j, -4*w = -4*j + 328. Is j composite?
True
Suppose 0 = h - 5*h + 5396. Suppose -5*i = q - 274, -4*i + h = -q + 6*q. Is q a composite number?
False
Let t be -5 + 4 - -1*1. Let n = t - 2. Is ((-3)/((-9)/(-498)))/n a composite number?
False
Is 2/14 + (-14808)/(-28) a composite number?
True
Suppose 0*o = 4*o - 212. Suppose o = -3*g - 109. Is 2/2 - g - 2 composite?
False
Let n be (-4)/14 + 12/(-7). Let i(l) = 3*l**2 + 2*l - 2. Let g(v) = 7*v**2 + 5*v - 3. Let s(x) = n*g(x) + 5*i(x). Is s(-9) a prime number?
False
Let r = -19 - -4. Is (-3969)/r - 2/(-5) a composite number?
True
Let o(r) = 2*r**3 - 7*r**2 + 2*r + 14. Let p be o(6). Suppose -3*v = -p - 76. Is v a prime number?
False
Suppose -3*x + 18 = 3*c, 4 = 5*c - 3*x + 6. Suppose 0 = 3*g - 6*g + 225. Suppose -c*a - a + g = 0. Is a a composite number?
True
Let b(r) = -r**2 + 5*r - 2. Let z be b(3). Suppose w = z*w. Let g = 37 + w. Is g composite?
False
Let b(s) = s**2 - s - 1. Let d be b(3). Suppose n - 5*j = 22, -d*n - 2*j = -0*n - 245. Suppose 0*k = -k + n. Is k a prime number?
True
Let m(l) = l**2 - 8*l - 8. Let g be m(10). Is (-4)/(-6) + 1564/g prime?
True
Let b = 7 + -7. Suppose b = 4*s + 4*m - 5*m - 477, 0 = 4*s - 5*m - 481. Is s a composite number?
True
Let a = -43 - -96. Is a composite?
False
Let m be 4486/14 + (-30)/70. Suppose m + 182 = 4*i + 3*n, i = -2*n + 123. Is i a composite number?
False
Suppose 2*g = 8, -w - 3*g + 12 + 2 = 0. Let k(x) = 5*x + 0 + 3*x**2 - 2*x**w + 5. Is k(-6) composite?
False
Let l(w) = -w**3 + 9*w**2 - 12*w - 3. Is l(-10) prime?
True
Suppose -f = 2*p - 53, 4*f - f = 3*p + 114. Let i = 93 - f. Suppose -n + i = 15. Is n prime?
False
Suppose -3*j + b + 990 = -0*b, -6 = -2*b. Is j a composite number?
False
Suppose -30 = -3*p - 12. Suppose 2*o - 1049 = k - p*k, 3*o = -3*k + 624. Is k a composite number?
False
Let p = 6 - 3. Suppose -1 = -p*z + 5. Suppose 2*j - 275 = -5*f, -3*f + j - z*j + 166 = 0. Is f composite?
True
Let f(n) = 5 - 2 - 39*n**3 + 4*n - 14*n**3. Is f(-2) a prime number?
True
Suppose 120 - 25 = z. Is z a composite number?
True
Suppose -11 - 113 = -2*d. Suppose 0 = 3*n - 12, 0*n + d = 3*s - 4*n. Is s a prime number?
False
Suppose -82 = -4*m + b + 2*b, 2*b - 48 = -2*m. Is m prime?
False
Let i = -8 - -13. Let b = -3 + i. Suppose -3*d = -b*s - 59, 2*s = d + 4*d - 105. Is d composite?
False
Suppose 2*z + 2*v - 2 = 0, -2*z + 5*v + 6 = -10. Suppose -f + 109 = z*g, -3*g + 109 = 3*f + 4. Is g a prime number?
True
Let b(c) = c**3 - c**2 + 4*c + 1. Suppose 9 + 6 = 5*s. Is b(s) prime?
True
Let g = 92 + -55. Is g prime?
True
Let b = -14 + 45. Is b a prime number?
True
Let c = 25 - 11. Let w(m) = 3*m**2 - 2*m - 19. Is w(c) composite?
False
Let x = -119 - -194. Let i = 53 - x. Is (-2217)/(-33) - (-4)/i composite?
False
Let h be 1*89 + (-1 - 2). Is -1 - 9/((-9)/h) composite?
True
Is 140/30*57/2 prime?
False
Let h = -68 + 189. Is h a composite number?
True
Is 1 - (-2)/(-3) - 52130/(-39) a prime number?
False
Let y = -73 + 108. Is y a prime number?
False
Let j(h) = -97*h. Let t be j(-1). Suppose 0*v = v - t. Is v a composite number?
False
Let k(p) = -21*p**3 - 2*p**2 - 8*p - 10. Is k(-5) a prime number?
False
Let j(q) = -60*q + 3. Let n be j(-2). Suppose 4*t = 5*i + 627, 50 + n = t + 2*i. Is t a prime number?
True
Suppose 2*f - 3*p = -1816, 2*f - p = 4*p - 1808. Let l = -503 - f. Is l prime?
False
Suppose 0 = 3*u - o - 623, -o = -5*u - 5*o + 1061. Is u composite?
True
Let b = 6 - -2411. Is b composite?
False
Let w = 333 + 554. Is w prime?
True
Let o = -321 + 818. Is o composite?
True
Let y = -3 + 144. Is y a composite number?
True
Let d be (0 + 4)*(-67)/(-2). Let u = d - 55. Is u prime?
True
Suppose -2*y = 3*y - 1325. Is y a prime number?
False
Let n = 34 + -20. Is n composite?
True
Let y = -164 - -291. Is y prime?
True
Suppose 4*l + 441 - 3073 = 0. Suppose 0 = 5*j - 157 - l. Is j composite?
False
Let t = 0 - -1. Suppose 4*m + 9 = t. Is ((-5)/m)/(4/136) composite?
True
Let v(l) = -3*l**3 + 3*l**2 - 3*l + 6. Let m(u) = 8*u**3 - 8*u**2 + 10*u - 17. Let c(d) = -4*m(d) - 11*v(d). Is c(5) composite?
False
Let u be (-30)/9*(-18)/15. Suppose -r = 5*p - 60, u*p + 106 = 6*r - 4*r. Is r prime?
False
Let a(u) = 5*u + 7. Let r be a(-7). Let x be (3/(-6))/((-2)/r). Is (-1 - -80)*x/(-7) a composite number?
False
Let m be 1 - (6/(-2))/3. Suppose -m*n + 0*j - 2*j = 0, n - 2 = -3*j. Is ((-5)/10)/(n/4) composite?
False
Suppose 9*v - 2910 = -v. Is v a prime number?
False
Is (1 - 2)/((-4)/(-5348)*-1) prime?
False
Suppose -3*f = 5*g - 4386, -5*f = -g + 2*g - 864. Is g composite?
True
Let m(p) be the first derivative of -p**4/4 - 8*p**3/3 + 9*p**2/2 - 4*p - 4. Let a be m(-9). Is (-13)/(2 - (-10)/a) a prime number?
False
Suppose 5*g + 5 = -0. Let k(y) = -1 - y**2 + 2*y**2 + 0 - 2*y**3. Is k(g) a composite number?
False
Let u = 1275 - 704. Is u a prime number?
True
Let j(f) = -f**3 - 9*f**2 + 4. Let p be j(-9). Suppose 0 = -o - 0*o + p. Suppose 26 = 2*b + 4*t, 68 = o*b + 4*t + 12. Is b composite?
True
Suppose m = -2*r + 5 - 2, 0 = -5*r - 3*m + 9. Suppose r*n - 313 = -2*n + 3*q, -3*q = -3*n + 474. Is n prime?
False
Let c(o) = 116*o + 1. Suppose 11 - 1 = 5*w. Is c(w) a prime number?
True
Suppose 2*c + c = 3*k + 3, c + 4*k = -4. Suppose c*h + h - 133 = 0. Is h composite?
True
Let s(w) be the third derivative of w**5/30 - w**4/8 - w**3 - w**2. Is s(7) composite?
False
Let k(m) = -m**2 - m + 3. Let p be k(0). Let f = p - 3. Suppose f = 2*x - 64 - 6. Is x composite?
True
Let r(n) = 36*n + 7. Let p(y) = -35*y - 6. Let z(v) = -6*p(v) - 5*r(v). Is z(7) prime?
True
Is 3/(-5 - -2) + 158 a composite number?
False
Let l(c) = -183*c - 10. Is l(-9) prime?
True
Suppose -2*v - 2231 = -4*v - 5*s, -5*v = -3*s - 5624. Is v composite?
False
Suppose -2*d - 4 = -d. Is d/(-16)*(-1 + 125) a prime number?
True
Suppose 0 = -p - 4*p + 555. Is p a composite number?
True
Let i be (-4)/14 - (-222)/42. Let k(m) = 7*m**2 - 5*m - 1. Is k(i) composite?
False
Let f = 3037 + -1559. Is f composite?
True
Suppose 2*l - 14 = -0*x + 3*x, 5*x = -3*l + 2. Suppose g + 5*h = 108, 0*g = 4*g + l*h - 512. Is g prime?
False
Let i(n) be the first derivative of -n**4/4 + 4*n**3/3 + n**2 - 4*n - 3. Let y be i(4). Suppose y*z - 194 = 10. Is z composite?
True
Let x = 247 - 12. Suppose 2*q - q = x. Is q a prime number?
False
Let p(i) be the first derivative of 65*i**4/2 + i**3/3 - i**2/2 + i - 2. Is p(1) prime?
True
Suppose w + 832 = -3*w. Let u = w - -341. Is u composite?
True
Let n(q) be the first derivative of q**4/4 - q**3 - 9*q**2/2 - 6*q - 2. Is n(7) a prime number?
True
Is ((-4)/8)/(3/(-4314)) a prime number?
True
Suppose -2*a = -3*z + 14, z - 2*a
|
{
"pile_set_name": "DM Mathematics"
}
|
ters?
0.00000002838539
What is 27/2 of a meter in centimeters?
1350
Convert 22.8011l to millilitres.
22801.1
How many years are there in 7/2 of a century?
350
What is nine tenths of a millennium in years?
900
What is 64/5 of a millennium in decades?
1280
How many nanograms are there in 452.596ug?
452596
How many millimeters are there in 1711.917 nanometers?
0.001711917
What is 34/5 of a tonne in kilograms?
6800
What is 9.821811 milligrams in nanograms?
9821811
What is eleven halves of a litre in millilitres?
5500
How many milliseconds are there in 0.1556503ns?
0.0000001556503
What is three fifths of a minute in seconds?
36
What is twenty-one fifths of a litre in millilitres?
4200
What is 7/8 of a litre in millilitres?
875
How many grams are there in 9436.84mg?
9.43684
Convert 142.4871 meters to millimeters.
142487.1
How many micrometers are there in 18.51547mm?
18515.47
How many decades are there in fifty-two fifths of a millennium?
1040
How many decades are there in one quarter of a millennium?
25
How many millilitres are there in 19/4 of a litre?
4750
Convert 0.9685164 centuries to years.
96.85164
How many centuries are there in 724650.3 decades?
72465.03
How many minutes are there in 59/3 of a day?
28320
Convert 641.3217 decades to millennia.
6.413217
What is 6.857753 millilitres in litres?
0.006857753
What is 73403.02 milliseconds in microseconds?
73403020
How many micrograms are there in 1/10 of a gram?
100000
How many nanograms are there in 6.548093 grams?
6548093000
How many millimeters are there in 6.144633cm?
61.44633
How many nanometers are there in 1/20 of a millimeter?
50000
How many decades are there in 53/5 of a millennium?
1060
How many kilograms are there in twenty-one quarters of a tonne?
5250
What is 577166.4ng in milligrams?
0.5771664
What is 11/10 of a micrometer in nanometers?
1100
How many millilitres are there in 368362.5l?
368362500
How many millilitres are there in thirteen quarters of a litre?
3250
What is 5.968743 millennia in years?
5968.743
Convert 7.09348 years to centuries.
0.0709348
How many months are there in 8.687893 years?
104.254716
How many decades are there in 891.6561 millennia?
89165.61
How many meters are there in 5.441268 micrometers?
0.000005441268
Convert 2.674238mm to centimeters.
0.2674238
Convert 21893.89 minutes to milliseconds.
1313633400
Convert 0.8804413 years to decades.
0.08804413
How many millilitres are there in seven eighths of a litre?
875
How many micrograms are there in 1/20 of a milligram?
50
What is 5.631403 micrograms in nanograms?
5631.403
What is 0.1888074t in milligrams?
188807400
How many microseconds are there in 6.448017 milliseconds?
6448.017
How many months are there in twenty-one quarters of a year?
63
How many micrometers are there in one sixteenth of a meter?
62500
How many centimeters are there in 8/25 of a meter?
32
What is 1092.461nm in micrometers?
1.092461
Convert 17.04022 meters to micrometers.
17040220
What is 67/5 of a microgram in nanograms?
13400
What is 6.257268ug in tonnes?
0.000000000006257268
What is seventeen quarters of a millisecond in microseconds?
4250
How many meters are there in 32/5 of a kilometer?
6400
How many meters are there in 11/10 of a kilometer?
1100
Convert 56367.52 milligrams to tonnes.
0.00005636752
What is 16/7 of a week in hours?
384
What is 291865.95 seconds in minutes?
4864.4325
Convert 0.98291m to centimeters.
98.291
How many millimeters are there in 8.940136m?
8940.136
What is seven eighths of a minute in milliseconds?
52500
What is 7.63977 litres in millilitres?
7639.77
Convert 12174.19 millennia to decades.
1217419
Convert 3990.674 grams to tonnes.
0.003990674
How many months are there in 0.9170468 millennia?
11004.5616
How many months are there in seventeen quarters of a century?
5100
What is 7/2 of a decade in years?
35
How many years are there in eleven quarters of a century?
275
What is 326.2947 weeks in minutes?
3289050.576
What is 1/5 of a century in years?
20
What is two fifteenths of a decade in months?
16
Convert 1040.3508 months to years.
86.6959
What is 864.5667ng in milligrams?
0.0008645667
What is 12/25 of a kilometer in meters?
480
What is 69.55285 decades in millennia?
0.6955285
How many months are there in 5205.787 millennia?
62469444
What is twenty-seven fifths of a micrometer in nanometers?
5400
What is seven eighths of a week in minutes?
8820
What is seven halves of a millimeter in micrometers?
3500
How many grams are there in 81/2 of a kilogram?
40500
What is 664619.2 minutes in milliseconds?
39877152000
What is 45.69396us in nanoseconds?
45693.96
Convert 0.3177155 days to hours.
7.625172
How many micrometers are there in 3/50 of a millimeter?
60
How many milligrams are there in seven eighths of a gram?
875
How many months are there in 7/3 of a year?
28
How many seconds are there in 1/4 of a minute?
15
How many milligrams are there in fifty-seven halves of a gram?
28500
What is 17/2 of a gram in milligrams?
8500
How many kilograms are there in 49/5 of a tonne?
9800
How many millilitres are there in 18/5 of a litre?
3600
How many millilitres are there in 2/125 of a litre?
16
How many micrometers are there in 3.924368 nanometers?
0.003924368
How many months are there in eighty-one quarters of a decade?
2430
What is 6/25 of a litre in millilitres?
240
What is 17/2 of a microgram in nanograms?
8500
How many millennia are there in 0.9068566 years?
0.0009068566
Convert 5350.966 millilitres to litres.
5.350966
What is 62999.5 millilitres in litres?
62.9995
What is 11/2 of a second in milliseconds?
5500
How many millilitres are there in 18/5 of a litre?
3600
How many centuries are there in 5.347166 years?
0.05347166
Convert 497622.1 millennia to centuries.
4976221
What is 1401.4716 months in centuries?
1.167893
What is 26.7116 kilograms in grams?
26711.6
What is 81.05107 milliseconds in seconds?
0.08105107
What is three eighths of a meter in millimeters?
375
How many micrograms are there in 95.43307t?
95433070000000
What is one quarter of a tonne in kilograms?
250
What is 203.8234l in millilitres?
203823.4
What is 75/4 of a litre in millilitres?
18750
What is 0.2572758 nanoseconds in hours?
0.0000000000000714655
How many millilitres are there in twenty-seven quarters of a litre?
6750
How many grams are there in 27/5 of a kilogram?
5400
How many nanograms are there in three eighths of a microgram?
375
What is 1/16 of a minute in milliseconds?
3750
How many litres are there in 787.3366 millilitres?
0.7873366
Convert 56173.23 months to centuries.
46.811025
What is 7/8 of a century in months?
1050
What is 15.22497mm in meters?
0.01522497
What is six fifths of a milligram in micrograms?
1200
What is 55087.79ml in litres?
55.08779
How many seconds are there in four fifteenths of a hour?
960
How many hours are there in 0.7217513 days?
17.3220312
How many kilograms are there in 29707.28mg?
0.02970728
How many millilitres are there in five eighths of a litre?
625
Convert 9100.32 micrometers to meters.
0.00910032
How many minutes are there in 27/5 of a hour?
324
What is 815166.54s in hours?
226.43515
How many meters are there in 1/4 of a kilometer?
250
What is five eighths of a litre in millilitres?
625
What is 133.6119ng in micrograms?
0.1336119
What is 3/10 of a milligram in micrograms?
300
Convert 839.9305g to nanograms.
839930500000
What is 3/16 of a kilometer in centimeters?
18750
How many kilograms are there in 55/2 of a tonne?
27500
How many months are there in 0.3185829 centuries?
382.29948
What is seven eighths of a litre in millilitres?
875
What is 1/5 of a century in years?
20
What is 11/10 of a meter in millimeters?
1100
What is 52.31198 decades in centuries?
5.231198
What is 478.3721 litres in millilitres?
478372.1
What is 2/125 of a meter in micrometers?
16000
What is one quarter of a microgram in nanograms?
250
What is one quarter of a millennium in months?
3000
How many nanometers are there in 37/2 of a micrometer?
18500
What is twenty-seven halves of a day in minutes?
19440
Convert 909174.7 millennia to years.
909174700
How many millilitres are there in 104717.6l?
104717600
How many millilitres are there in 5.960296 litres?
5960.296
How many years are there in 125000.7 centuries?
12500070
Convert 382137.1l
|
{
"pile_set_name": "DM Mathematics"
}
|
b
Which is the nearest to 0? (a) -2/19 (b) -6 (c) -574 (d) -81
a
What is the nearest to -190 in -2284, -2, -4?
-4
What is the closest to -2/45 in 1.2, 0.023, 17.8, 5?
0.023
What is the nearest to -0.5 in -1028, 0.1, 0.2, -2, -781?
0.1
Which is the nearest to 6? (a) -64 (b) 4 (c) 6.3
c
Which is the closest to 1? (a) -5 (b) -2.4 (c) 1 (d) 1214.1
c
Which is the closest to -0.05? (a) 1/2 (b) 155 (c) -0.5 (d) -4/5 (e) 224
c
Which is the closest to 0.3? (a) 2 (b) 1/2 (c) -23 (d) 455
b
What is the closest to -39 in -95.6, -463/3, 2?
2
Which is the closest to 0.1? (a) 3 (b) 0.068 (c) -3/5 (d) -857/17 (e) 4 (f) 0.4
b
Which is the closest to -4/25? (a) -155325 (b) 1/7 (c) -0.3
c
What is the closest to 0 in -2/5, -30, 0.05, 15, 0.19?
0.05
Which is the nearest to 6520? (a) -3 (b) -70 (c) 4
c
Which is the closest to -2/1167? (a) 2.3 (b) -1 (c) -192/19
b
Which is the closest to -17? (a) 7/2 (b) -2/23 (c) 0.027 (d) 2/15
b
Which is the nearest to 1/2? (a) 9/148 (b) -4 (c) -0.008 (d) 1/2 (e) -0.5
d
Which is the closest to -1/7? (a) 3437 (b) 1 (c) 0.004 (d) 5 (e) -0.08
e
What is the nearest to -0.2 in 1286/15, 0.5, -0.3, 0.047?
-0.3
Which is the closest to -53? (a) -2 (b) 0.6 (c) -381 (d) 1 (e) 0.1
a
Which is the nearest to -9? (a) -8 (b) 3 (c) -0.0175
a
Which is the closest to 0.03? (a) 0.1 (b) 0.414 (c) -0.4 (d) 89 (e) -9
a
What is the nearest to -0.3 in 2/9, 22/7, -0.1, -4, -66?
-0.1
What is the closest to 0.7 in -0.5, -13, 0.2, -339?
0.2
What is the nearest to -1/3 in 0, 0.2, -1479.8, -5, 311?
0
Which is the closest to -4? (a) -18 (b) 2 (c) 8596 (d) 1/3 (e) 8
d
What is the closest to -2/5 in -0.4, 42758.2, 2.2?
-0.4
What is the nearest to 0.2 in -3, 3.07377, -1/10?
-1/10
Which is the closest to -2? (a) -13853 (b) 3 (c) 2/23
c
Which is the nearest to -29/213? (a) -647 (b) 0.4 (c) 1/8
c
Which is the nearest to 0.1? (a) 0.04 (b) 2/5 (c) 3.413 (d) -0.1 (e) -3
a
What is the closest to 966171 in -3/7, -2, 1?
1
Which is the nearest to 0.2? (a) 4 (b) -0.5 (c) -6 (d) 0.01 (e) 5/17
e
Which is the nearest to -456.9? (a) -1.1 (b) -5 (c) -1.2 (d) 0.03
b
What is the closest to 2/11 in -309, -10.7, -3, 1?
1
Which is the nearest to 2/3? (a) 5 (b) 0.5 (c) -3/4 (d) -363 (e) -1064
b
Which is the nearest to -2/5? (a) -0.3 (b) -3/5 (c) 3 (d) 7881 (e) 2/7
a
Which is the closest to 20? (a) -2/17 (b) -4 (c) -5362 (d) 0.5 (e) 3 (f) -1/6
e
What is the nearest to 69 in -0.17, 1, -0.0391, 0.33, -0.3?
1
Which is the closest to -2/7? (a) 0.01 (b) 1/5 (c) -3 (d) -14/11 (e) 59
a
What is the closest to -0.1 in -3/5, 5, -1/8, -0.18, 4, -2?
-1/8
What is the nearest to -1.1 in -21, 1/2, 0.1, 1, 4530?
0.1
What is the nearest to 1 in -76/3, -5, -147042, -4?
-4
What is the nearest to 251030 in 4, -1/5, -13/6?
4
What is the closest to 3 in 5, 4, 12/19, -1, 3103?
4
What is the closest to -1 in 155, -407.1, -2?
-2
Which is the nearest to -2/9? (a) 3 (b) 416/3 (c) 1/5 (d) -106
c
Which is the nearest to -0.1? (a) 30785 (b) -9 (c) -10 (d) -4
d
What is the closest to -9 in 66, 0.103, 0.08, 3?
0.08
Which is the nearest to -2? (a) 0 (b) -3 (c) -4/7 (d) -31210 (e) 2/19
b
Which is the nearest to -1090/7? (a) -0.3 (b) 254 (c) 4/83
a
What is the closest to -3.3 in 2, 3, 53, -0.3, -2/3, -46/5?
-2/3
What is the nearest to 24957 in 2/7, 3, 2, 0?
3
What is the nearest to 2/5 in -1, 339, 9/2, -211?
-1
Which is the closest to 5? (a) 33 (b) 2 (c) 0.5 (d) -1751 (e) 3 (f) 15
e
Which is the nearest to -8? (a) -150 (b) -0.2 (c) -7 (d) 0 (e) -2/17
c
What is the closest to -247/6 in -3, -2, -9, -4941, -0.2?
-9
What is the nearest to -328 in 1/4, -1/4, 2, 6?
-1/4
Which is the nearest to 0.2? (a) 2.7 (b) 0 (c) -0.8 (d) -6585 (e) -2/5
b
What is the closest to -42 in -4, 3, 82, -0.4, 6?
-4
Which is the closest to -26? (a) -0.1 (b) -12/5 (c) -4/7 (d) 3 (e) -13/2
e
What is the closest to -2 in -1.075, 26/3, 11/5, 4?
-1.075
Which is the nearest to 39/4? (a) 33/10 (b) -1/7 (c) -97 (d) -0.4
a
Which is the closest to -1/2? (a) -0.0327 (b) -1 (c) -5 (d) -6/5 (e) 0.53
a
What is the nearest to 54 in 40, -18, 3/5, 1/3, 0.94?
40
What is the closest to -10/17 in 4, 100.3, 1.02?
1.02
What is the closest to -1/21 in 108833, 2, -0.2, -4?
-0.2
Which is the nearest to -0.1? (a) -1/2 (b) 4 (c) 5 (d) 5866
a
Which is the closest to 6? (a) 0.62 (b) -1973 (c) 4 (d) 1 (e) -0.1
c
What is the closest to 0 in -27, 1, -40/7, -5, -1/2, 151?
-1/2
Which is the nearest to 0.0403? (a) 0 (b) 0.07 (c) 372
b
Which is the closest to 199? (a) 9.7961 (b) 5 (c) -3
a
What is the closest to 4 in -1/6, 3/31, -2/19, 4755, 2/7?
2/7
What is the closest to -0.38 in -1, -545, 0.4, 3, -0.5?
-0.5
What is the closest to -1/2 in 2, 3/2, 3/8, 2/29, -0.9?
-0.9
What is the closest to -1/4 in 88, 6/2815, 3?
6/2815
What is the closest to -0.021 in -0.2, 1/4, -28, 1, 0.1?
0.1
Which is the nearest to 1/3? (a) 0.3 (b) -464 (c) -823.5
a
Which is the closest to 78? (a) 8.8 (b) -656 (c) 4
a
Which is the closest to 9.3? (a) 6 (b) 47/2 (c) -0.5 (d) 10
d
What is the nearest to -2 in 91/6, -4/7, 1.7?
-4/7
Which is the closest to -16368? (a) 3 (b) -1 (c) 0.5 (d) -3/41
b
Which is the nearest to 10? (a) -130/3 (b) -0.5 (c) 324 (d) 3/5
d
What is the closest to -2 in -3054, 2, 2/33, -3, 1, 3?
-3
Which is the nearest to -0.1? (a) -0.24 (b) -1/304 (c) 1/4
b
What is the nearest to -10 in -15.6, 7/12, 27.9?
-15.6
Which is the closest to -7? (a) 1.562 (b) -2/13 (c) -2 (d) 1/3
c
What is the closest to 2/7 in -3.4, 4, 0.05, 20, -2, -0.5?
0.05
What is the nearest to 0.24 in 71, -19, 1/2, -3?
1/2
Which is the nearest to -381? (a) 2/7 (b) -0.4 (c) 2.355 (d) 2 (e) -0.3
b
What is the nearest to 54 in -0.47, 1, 2.4?
2.4
Which is the closest to -3? (a) 4 (b) 468 (c) 500
a
What is the closest to 1 in 71, 2/9, 1/10, 2/21, -0.122?
2/9
What is the nearest to 2/3 in -21, -3/8, -2.9, -0.2, -3?
-0.2
What is the nearest to 250/3 in 6, 8, -0.415?
8
What is the nearest to 10/9 in 0.1, -4, 2/11, 71, 1/2?
1/2
What is the nearest to -71.629 in -0.04, -2/9, 1/3?
-2/9
What is the nearest to -2/5 in -5, 2/21, -5/3, -1801, 10?
2/21
Which is the nearest to 1? (a) 3/2 (b) -2/1499 (c) 0.359 (d) -0.3
a
Which is the closest to 0.09? (a) 15/4 (b) -65 (c) -5/2 (d) -0.4
d
Which is the closest to -0.1? (a) 3/4 (b) -1.16 (c) 15778
a
What is the nearest to -4 in -0.07, -3, 571835?
-3
Which is the closest to 1/2? (a) -1793816 (b) 2 (c) 5/6 (d) -3/2
c
What is the closest to -0.22 in 162, 1, 6, 0.04, 0.2?
0.04
What is the nearest to -19 in -5, 24, -1/9, 664, -1/5?
-5
What is the nearest to 2 in 112886, 1, 5?
1
Which is the nearest to -4? (a) 320/31 (b) -4 (c) -1 (d) 1/7 (e) -3 (f) 1
b
Which is the closest to -10? (a) 3 (b) 2399 (c) -8 (d) -20 (e) -4
c
What is the closest to -78811 in -0.3, 8, -2/3, 1, -1/3?
-2/3
Which is the nearest to 0.08? (a) 0.063 (b) 1/7 (c) 3 (d) -6 (e) 2
a
Which is the nearest to 3? (a) -7 (b) -0.08 (c) -3566
b
What is the nearest to -15 in -2/9, 109, 0.16, 2.3, 1?
-2/9
Which is the nearest to 0.2? (a) -65 (b) -2 (c) -1/3 (d) -1 (e) 1
c
Which is the nearest to -54? (a) 82/3 (b) 41.6 (c) -5
c
What is the nearest to 2.9 in -3, 6, 4/9, 6.8, -1/9?
4/9
What is the closest to -0.17 in -59, 2/2241, 7/3?
2/2241
What is the closest to 4 in -0.5, 83593/4, 2/67?
2/67
What is the closest to 0.6 in 0.14, -5/4, 473, -11/3?
0.14
Which is the nearest to -2/5? (a) -0.01 (b) 1 (c) -88.78 (d) -0.5 (e) -26 (f) -1/6
d
What is the closest to 3 in 1, 0.9, -0.01, 2/35, 19?
1
What is the nearest to 2 in -2/27, 0.9, 1/763, -5, -1, 0.8?
0.9
What is the closest to -0.497 in 0.04, -109, -0.1?
-0.1
What is the nearest to 35/5921 in -11/5, -34, -2?
-2
What is the nearest to 1/4 in 1/3, 232, 1, 0.09, 83?
1/3
Which is the nearest to -3/4? (a) 2/7 (b) 1281 (c) 0.5 (d) -178
a
Which is the closest to -2/5? (a) -0.072 (b) -0.01 (c) 1 (d) -17 (e) 1.3 (f) 0.5
a
Which is the closest to -1? (a) -1.2 (b) 6807 (c) -0.05
a
Which is the closest to 2? (a) -177344 (b) 1/8 (c) 2/17 (d) -0.4 (e) 0
b
What is the nearest to -11 in 1888, 0.07, 4, 1?
0.07
Which is the closest to 1? (a) -7/600 (b)
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the fourth smallest value in 0.5, 4, -1, -122?
4
What is the second smallest value in 0.8, 2, -0.11?
0.8
Which is the biggest value? (a) -0.4 (b) -32 (c) 0 (d) -1/6
c
What is the second smallest value in 4/13, -4, 0?
0
What is the third smallest value in 3/8, 2/13, -5, 4/5?
3/8
What is the fourth smallest value in -5, -10, -6, 1/3?
1/3
What is the biggest value in -3, -0.1, -15/16, 1/3?
1/3
What is the second biggest value in 1, -3/23, -1/4?
-3/23
What is the second smallest value in 4, 0.5, -634?
0.5
What is the biggest value in 3/8, 3, 4/3, -42?
3
Which is the second biggest value? (a) 3 (b) -0.1 (c) 0.3 (d) -3/25 (e) 0
c
Which is the fourth biggest value? (a) 1 (b) -1/90 (c) -0.5 (d) 0.2 (e) 0.9
b
Which is the second smallest value? (a) 9/2 (b) -0.4 (c) 4 (d) 0.2
d
Which is the third smallest value? (a) 152 (b) 2/3 (c) -3
a
What is the biggest value in 2, -0.5, -0.28, -1?
2
Which is the third biggest value? (a) -1 (b) -0.4 (c) 0.1 (d) -1/5 (e) -2/9
e
What is the fourth biggest value in -3, 0.03, -2, -6/17?
-3
Which is the third smallest value? (a) -1/4 (b) -16 (c) 0
c
What is the smallest value in -2/13, -3/5, -10?
-10
What is the biggest value in -0.108, -1, 0.1?
0.1
Which is the fourth smallest value? (a) -0.2 (b) 5 (c) 4/5 (d) -2.2
b
Which is the second biggest value? (a) 5 (b) 13 (c) 6 (d) 0.3
c
What is the third biggest value in -0.6, 2/9, -2, -0.04?
-0.6
Which is the second biggest value? (a) -2/13 (b) 0 (c) 244
b
Which is the second smallest value? (a) -173 (b) 2/11 (c) 2
b
What is the fourth smallest value in 3/7, 2/9, -2, -0.03, -1/3?
2/9
Which is the fifth smallest value? (a) -153 (b) 4 (c) 2/11 (d) 0 (e) 0.9
b
What is the fifth biggest value in 0, -3/2, -2/7, 1/2, -0.1?
-3/2
Which is the second biggest value? (a) 2/5 (b) -0.4 (c) -1 (d) -20
b
What is the third smallest value in -2/11, -54, 2?
2
Which is the third smallest value? (a) -1 (b) 0.5 (c) 105 (d) 0.2
b
What is the third biggest value in 4, -3, -314.3?
-314.3
Which is the biggest value? (a) 3 (b) 16 (c) -1/13
b
What is the third smallest value in -3, 0.5, -8, 4?
0.5
Which is the second smallest value? (a) 3 (b) 5 (c) 2 (d) 20/9
d
What is the second smallest value in 6.2, 3, -2/3, -1/4?
-1/4
Which is the second biggest value? (a) -1.4 (b) 0 (c) 1
b
Which is the biggest value? (a) 0.71 (b) 0.2 (c) -5 (d) -3 (e) 1
e
Which is the fourth biggest value? (a) -2 (b) -0.2 (c) -3 (d) 0.224
c
Which is the smallest value? (a) 2 (b) -20 (c) 44
b
Which is the second biggest value? (a) -2/251 (b) -5/2 (c) -0.1
c
What is the second biggest value in 6, 0.12, 1?
1
What is the third biggest value in 0.5, -7.4, 0.14?
-7.4
What is the third biggest value in 0.3, -22, -2?
-22
What is the second biggest value in 723/2, -2, 0.4?
0.4
Which is the second biggest value? (a) -505 (b) 0 (c) -4
c
What is the second biggest value in 0.02, 36, 3?
3
Which is the second biggest value? (a) 6 (b) -0.1 (c) -3
b
What is the second smallest value in -4/5, -5, -0.01, -4.6?
-4.6
What is the second smallest value in 0.05, -2/17, -4, -0.2?
-0.2
Which is the second biggest value? (a) 4 (b) 16 (c) 3
a
Which is the third smallest value? (a) 0.2 (b) -1/4 (c) -43/3 (d) 0.1
d
What is the smallest value in -35/16, -5, -3?
-5
Which is the biggest value? (a) 1/3 (b) 3/10 (c) 2/59 (d) 0.1
a
What is the smallest value in 240, -3/7, -2?
-2
What is the third biggest value in -0.4, 4, -11/3?
-11/3
Which is the second biggest value? (a) 0.4 (b) -3 (c) -0.78 (d) -1 (e) -0.3
e
What is the third smallest value in -461, -0.2, 1?
1
What is the third biggest value in 1/4, -0.2, -26?
-26
Which is the fourth smallest value? (a) 5 (b) 3 (c) -4 (d) 2
a
What is the fourth smallest value in -3.7, 2/7, 0.3, -2/5?
0.3
Which is the second smallest value? (a) -123 (b) -2 (c) 0.3
b
Which is the second smallest value? (a) -2 (b) 1/11 (c) 7/2 (d) 10
b
Which is the biggest value? (a) -4 (b) -78 (c) -0.4
c
What is the second smallest value in 0.3, -0.07, 1/11?
1/11
Which is the smallest value? (a) -0.5 (b) -5 (c) 124
b
What is the second biggest value in -4/11, 3/2, -4?
-4/11
Which is the third biggest value? (a) -2 (b) -10/11 (c) -6/17 (d) 2
b
What is the second biggest value in 0.08, -2, -2/97?
-2/97
Which is the second smallest value? (a) 3/5 (b) -6 (c) 4 (d) -26 (e) -3
b
What is the third smallest value in 4, 2/13, -1, -7.7?
2/13
What is the second smallest value in 0.04, -0.5, -3/4, -2/11?
-0.5
What is the third biggest value in 0.2, 1, 54/7?
0.2
Which is the second biggest value? (a) -1.1 (b) 0.1 (c) 2
b
What is the smallest value in 37, -4, 1?
-4
Which is the biggest value? (a) 3 (b) 2/231 (c) 5
c
Which is the biggest value? (a) 0.4 (b) 62 (c) 1
b
What is the third biggest value in 2/11, 1/6, 1174?
1/6
Which is the fifth smallest value? (a) 0 (b) -26 (c) 0.04 (d) -0.03 (e) 0.2
e
What is the third biggest value in -2, -1/4, 2/61, 3?
-1/4
What is the biggest value in 4, 2, -0.8, 2/11?
4
What is the smallest value in 2/5, -24, -0.044?
-24
Which is the second smallest value? (a) -3/4 (b) -24 (c) 1/3
a
Which is the smallest value? (a) -0.076 (b) -3 (c) -4/7
b
Which is the third biggest value? (a) -0.12 (b) 0.04 (c) 3/5 (d) 0
d
Which is the fourth smallest value? (a) -4 (b) -13/7 (c) 55 (d) 4
c
What is the fourth smallest value in -3, 4, 15/4, 2/9, -10?
15/4
Which is the second smallest value? (a) 2/15 (b) -11 (c) -17
b
What is the third biggest value in 1/3, -22, -4, -2/7?
-4
What is the second smallest value in 0, 54/11, 0.1, -2/7?
0
What is the third smallest value in 0.5, 30, 4, -2.1?
4
Which is the fourth biggest value? (a) -9/5 (b) -3 (c) 3 (d) 1/5
b
Which is the second biggest value? (a) 11 (b) 1/2 (c) -1/5 (d) -1
b
What is the smallest value in 2/63, -0.1, 5.6?
-0.1
What is the biggest value in -0.5, -1.2, 0?
0
Which is the smallest value? (a) -2 (b) 0.4 (c) -1/11
a
Which is the second smallest value? (a) 4 (b) 2 (c) 1
b
Which is the third smallest value? (a) -0.03 (b) -1 (c) -4 (d) -9 (e) -0.3
b
What is the third smallest value in -33, -1/54, 5, -0.5, -3?
-0.5
What is the second biggest value in 261, 5, -0.2?
5
What is the biggest value in -16/3, -5, 1/2?
1/2
What is the second biggest value in 0.1, -0.05, -0.4, 5, 2/3?
2/3
What is the second smallest value in -2, 8, 0, 2.9?
0
What is the third smallest value in 2/5, 2/3, -2, -4, -1/3?
-1/3
Which is the third smallest value? (a) 0.4 (b) -3 (c) 3 (d) 1
d
What is the third biggest value in -3/8, 13, 0.4, -22, -5?
-3/8
Which is the biggest value? (a) 0 (b) -0.4 (c) -2.7 (d) 2/11
d
Which is the third biggest value? (a) -2/7 (b) 12 (c) 60
a
What is the second biggest value in -0.5, -9, -0.02, -6?
-0.5
What is the second smallest value in 1242, 0, 2/7, -0.08?
0
What is the third biggest value in 1, -1/277, -1/2?
-1/2
Which is the biggest value? (a) 2 (b) 38 (c) 0.3 (d) 4
b
Which is the third smallest value? (a) -1/5 (b) 1/192 (c) -27
b
Which is the biggest value? (a) -10 (b) 0.01 (c) 4/9
c
Which is the fourth smallest value? (a) -171 (b) 0 (c) -1 (d) 1
d
What is the second smallest value in -2/7, -2/3, 0.4?
-2/7
What is the third biggest value in 0.047, -0.5, -10?
-10
What is the third smallest value in 4, -39.9, -3, -2?
-2
What is the biggest value in -61, -2/7, -0.2, 4?
4
What is the second smallest value in 0.3, -424, -1/10?
-1/10
Which is the third smallest value? (a) 2 (b) -2/5 (c) 1/4 (d) 1 (e) -4
c
What is the second biggest value in -2, 4/7, 0, 9?
4/7
Which is the smallest value? (a) 2/5 (b) 4 (c) 2 (d) -1
d
Which is the biggest value? (a) 0.9 (b) 254 (c) 1
b
Which is the second biggest value? (a) 1 (b) -1 (c) 2/23 (d) -3
c
What is the biggest value in 4, -7, 8, -3?
8
Which is the smallest value? (a) -2/9 (b) 2.34 (c) 3/4
a
Which is the fifth biggest value? (a) -1/3 (b) 0.5 (c) -4 (d) 11 (e) -0.5
c
Which is the smallest value? (a) 44 (b) 3 (c) 4 (d) 1 (e) 2.2
d
What is the biggest value in -2/5, 117, 2/3?
117
What is the smallest value in 3139, -1, 2/3?
-1
Which is the third smallest value? (a) -29 (b) 0.2 (c) 3/2
c
What is the smallest value
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the least common multiple of (16/5)/((-2)/(-5)) and l?
8
Suppose 0 = -f + 2*f + 3972. Let v = -43729/11 - f. Calculate the common denominator of v and -31/6.
66
Suppose 0 = -w - 2*j + 6*j - 1731, 2*j - 6 = 0. Let g = w + 17119/10. What is the common denominator of -109/10 and g?
10
Let q = 19 - 17. Calculate the lowest common multiple of q and 22.
22
Suppose 5*x + 2*f = -0*x + 86, 0 = 4*x - 4*f - 80. Suppose 4*k - 3*k - 4 = 0. Calculate the least common multiple of k and x.
36
Let u = 4632/35 + -841/7. Find the common denominator of -49/5 and u.
5
Let t be 1 + 2/(1092/(-549)). Let g = t + -271/364. What is the common denominator of 111/20 and g?
20
Let t(s) = 2*s + 18. What is the smallest common multiple of 20 and t(-5)?
40
Let d(w) = w**3 + 2*w**2 + w + 2. Let j be d(-2). What is the smallest common multiple of 11 and j + (0 - -1) + 1?
22
Let z = 5597 - 2514. Let d = 67791/22 - z. Find the common denominator of d and (23/(-20) - 1) + -2.
220
Let y = -12 - -30. Calculate the lowest common multiple of y and 20.
180
Let p be (-6)/21 + 92690/(-28). Let g = p - -552367/126. Let j = 1072 - g. What is the common denominator of j and 29/7?
63
Let q be (1 - 3)*1 + -3. Let x(r) = 0 - 2 + 2*r + 6*r. Calculate the common denominator of 2/9 and x(q).
9
Calculate the common denominator of -91/10 and -3 - 2/((-10)/31).
10
Let a = 4 + -4. Let v be (4 + a)/((-4)/4). What is the common denominator of -42 and ((-2)/(-4))/(v + 2)?
4
Let p(c) = -c**3 + 4*c**2 - c - 1. Let w = -11 - -14. Suppose -5*g + j + 9 = 0, -5*j - 7 = 13. Calculate the lowest common multiple of g and p(w).
5
Let s = -2489/6 - -424. Let k = 3 - -14. What is the common denominator of s and k/(-12) - 3/9?
12
Let o(k) = -k + 7. Let n be (-35 - 1)/(-3) + 3. Suppose v + 2*v - n = 0. What is the lowest common multiple of 22 and o(v)?
22
Let p = 2149/62 - 9943299/286874. Let z = -24455/4627 - p. Find the common denominator of z and -23/6.
42
Let d(u) = -u - 3. Calculate the smallest common multiple of d(-13) and 2/(-8) - (-325)/20.
80
Let g be (-15)/(-21) - (-2)/7. Let s be -3*(g - (-22)/(-1)). Calculate the common denominator of -12/11 and (s/8)/((-18)/12).
44
Suppose -90 = -3*h - 3*t, 4*h - h - 72 = 3*t. Let x be 1 + 3 + 0/(-1). Suppose x*u = u + h. Calculate the lowest common multiple of u and 8.
72
Let c(h) = 5*h**3 - 5*h**2 - h - 4. Let i be c(5). Let q = -1523/3 + i. What is the common denominator of (-216)/(-70)*(-5)/2 and q?
21
Let d = -13 - -8. Let c(u) = -u**2 - 7*u - 3. Let f be c(d). What is the common denominator of (f/(-2))/((-2)/(-11)) and 5/4?
4
Suppose -f = 4690 - 17215. Let v = 175425/14 - f. Calculate the common denominator of (-1 + (-35)/(-2))/(-7) and v.
14
Let z be 363/(-22)*(-4)/(-3). Let x = -14 - z. Calculate the lowest common multiple of 11 and x.
88
Let f(l) = l**2 + 5*l + 5. Let m be f(-4). What is the common denominator of 3/22 and m/(-4) - 870/440?
22
Suppose -3*d + 7*d = -4*a + 4, -4*d = 2*a. Calculate the lowest common multiple of a and 8.
8
What is the common denominator of 35/26 and 36/(-24)*26/24?
104
Suppose 0 = 5*t - 16 - 34. Calculate the least common multiple of t and 8.
40
Let y = -85651/16740 + -28/837. What is the common denominator of -73/58 and y?
580
Calculate the common denominator of (2/20)/(9/(6615/14)) and 131/30.
60
Let v(m) = -m**2 - 5*m - 2. Let q be v(-3). Suppose -4*d + a = -17, 3*a + 0*a - 13 = -q*d. Calculate the least common multiple of d and 7.
28
Let u be 1 - 3*2/(-3). Suppose p + 3*p - 4 = 0, -u*x = -p - 20417. Let w = x + -40727/6. Find the common denominator of 51/7 and w.
42
What is the lowest common multiple of (-2)/(3/(-7 - 5)) and ((-8)/5)/2*-25?
40
Let g be ((-6940509)/(-1059915))/(12/10). Let j = -5/7438 + g. Let n = j - 3/76. Calculate the common denominator of -57/8 and n.
24
Let g be (-2)/6 + 5884/2344. Let v = g - 3/293. What is the common denominator of 139/6 and v?
6
Let i(s) = -2*s**2 + 18*s + 16. Calculate the lowest common multiple of 4 and i(8).
32
Let q = 6332843909/1402908 - 24/116909. Let d = q + -4519. What is the common denominator of d and 57/8?
24
Suppose -57 + 12 = -5*v. Calculate the lowest common multiple of v and 4.
36
Let j = -15 + 35. Calculate the lowest common multiple of 364 and j.
1820
Suppose p - 6 = -12. What is the lowest common multiple of (-6)/3 - (0 + p) and 18?
36
Suppose s - 98 = -3*k - k, 2*k = 0. Suppose 0 = 4*d + x - 35 - s, -3*d - 2*x = -106. Calculate the lowest common multiple of 10 and (2/4)/(2/d).
40
Let n be (0 - 4)/((-4)/(-18)). Calculate the lowest common multiple of 5 and n*(-6)/(-63)*-7.
60
Let b(f) = -2*f**2. Let m be b(-1). Calculate the lowest common multiple of (12 + -2)*(m - -4) and 2.
20
Calculate the lowest common multiple of 104/(-39)*(1 + -4) and 18.
72
Let l = 4925/1032 - 19/129. Let o = -1246403351079/141989518 + -6/6454069. Let p = -8776 - o. What is the common denominator of p and l?
88
Let y(o) = -16*o - 3. Let a be y(-2). Suppose 4*d = a + 11. Calculate the smallest common multiple of 2 and d.
10
Let l be (-150)/(-99)*(-8598)/8. Let b = -1629 - l. What is the common denominator of b and (10/4 - 0)/(-1)?
22
Let a(v) = 5 + 3*v + v**2 - 6 - 2. Let l be a(-4). Calculate the common denominator of 95/4 and l + 3 + 37/2.
4
Calculate the common denominator of -29/38 and (-1)/(-7)*(-1246)/(-4).
38
Let y = 2498/2123 + 1/193. Calculate the common denominator of y and 329/99 + (-2)/(-9).
11
Suppose 2*z = 7*z + 5. Let o(t) = 9*t**2 - 2*t - 1. Let s be o(z). Suppose s = b + b. Calculate the least common multiple of 5 and b.
5
Let b = -1217 + 7361/6. Calculate the common denominator of b and -51/7.
42
Let s = -43 + 51. What is the smallest common multiple of s and 20?
40
Let b = 57 - 9. What is the least common multiple of b and 6?
48
Let x(v) = v - 6. Let d be x(10). Suppose -l - 1 = -d. Calculate the smallest common multiple of 10 and l.
30
Let t = 665 - 4642/7. Calculate the common denominator of t and 32/5.
35
Let b be 2 + -1 + 2 + -2. Let z(l) = -2*l**2 + 1. Let j be z(b). Let o = 11 + j. What is the least common multiple of o and 9?
90
Let u be (7/2)/((-4)/(-40)). What is the common denominator of ((-119)/u)/(2/(-15)) and 29/2?
2
Suppose -2*l + 0 = -3*c + 26, c - 6 = 2*l. What is the smallest common multiple of c and ((-22)/(-3))/((-2)/(-3))?
110
Suppose 6*u + 105 = -993. What is the common denominator of -75/16 and u/(-6)*(-2)/4?
16
Let f(g) be the third derivative of g**6/60 + g**5/60 + g**4/24 + g**2. Let l be f(-1). Calculate the least common multiple of 10 and 9 + l*(-1 - -2).
70
Let p be (-1 + (-4694)/(-12))*3. Let d = 321 - 1529. Let t = p + d. Calculate the common denominator of 33/8 and t.
8
Let t = 5 - 2. Let c = 44 - -23. Suppose -5*w = 4*x - c + 17, -w - t*x + 10 = 0. Calculate the smallest common multiple of 18 and w.
90
Let g = -55410983/188 - -294740. Let k = 10104/47 - 215. Let y = k - g. What is the common denominator of y and 43?
4
Suppose 2*u = 4*p - 0*u - 82, -2*u + 26 = 2*p. What is the smallest common multiple of p and 14?
126
Suppose 3*m - 2*c - 12 = 0, -m - 2*c = -3*m + 10. Let j be 2/10 - (-29)/5. Calculate the least common multiple of ((-1)/3)/((-1)/j) and m.
2
Let w(i) = 5*i**3 - 2*i**2 + 2*i - 1. Let x be 41 - (1 + 1 + -5). Calculate the least common multiple of w(1) and (2 + (-3)/2)*x.
44
Let d(s) = s - 6. Let b be d(0). What is the least common multiple of 16 and (-124)/b + (-6)/9?
80
Let x = -969 - -10647/11. What is the common denominator of x and 5/((-225)/115) + 2?
99
Let g be ((-1)/8)/(3/(-294)). Let f be 62/(-5) + (-1 - -1). Let v = g + f. Calculate the common denominator of 123/20 and v.
20
Suppose -4*m = -12, 0 = 3*r + r - m - 45. Suppose -2*g + 0*g + r = 0. Calculate the lowest common multiple of 2 and g.
6
Find the common denominator of 7/13 and (-1 - -2) + ((-100)/(-56) - -2).
182
Find the common denominator of (-14 - -16) + (-118)/(-12) and 21/22.
66
Find the common denominator of (71/(-8))/(2/4) and 2/(-56)*1*2.
28
Calculate the smallest common multiple of (12/(-14))/((-2)/28) and 18.
36
Let l = 2 - 0. Suppose -x + 11735 = 3*j, -3*j - 2*x + 19557 = l*j. Let y = 23401/6 - j. What is the common denominator of y and 81/8?
24
Suppose 2*o - 37182 = 2*j, -3*j + 5*o = -4*j - 18579. Let a = j + 371687/20. What is the common denomin
|
{
"pile_set_name": "DM Mathematics"
}
|
icked without replacement from {v: 2, w: 1, l: 6, e: 3, g: 6}. Give prob of sequence lveg.
1/340
Calculate prob of sequence dac when three letters picked without replacement from adecaoeaa.
1/126
Two letters picked without replacement from {m: 4, g: 1, x: 6}. Give prob of sequence mg.
2/55
Four letters picked without replacement from {x: 1, q: 4, n: 2, k: 2, l: 1}. What is prob of sequence qllk?
0
What is prob of sequence gq when two letters picked without replacement from {g: 2, q: 1, a: 1, m: 5}?
1/36
Two letters picked without replacement from {n: 2, c: 8, r: 2}. What is prob of sequence nn?
1/66
What is prob of sequence jqqj when four letters picked without replacement from {q: 8, j: 3}?
7/165
Three letters picked without replacement from {j: 1, d: 3, q: 2, n: 1, l: 4}. Give prob of sequence nqq.
1/495
Calculate prob of sequence uuuu when four letters picked without replacement from {u: 7}.
1
Two letters picked without replacement from {e: 5, m: 3, q: 3, c: 1, p: 1, w: 6}. Give prob of sequence ec.
5/342
Calculate prob of sequence sx when two letters picked without replacement from {s: 5, x: 14}.
35/171
Calculate prob of sequence jccj when four letters picked without replacement from jjjcdccj.
3/70
What is prob of sequence mk when two letters picked without replacement from mkpkmkkkmkm?
12/55
Four letters picked without replacement from {i: 6, z: 8, d: 1}. Give prob of sequence dzzi.
2/195
Four letters picked without replacement from dzzdd. What is prob of sequence zddd?
1/10
Calculate prob of sequence cu when two letters picked without replacement from ftnukffcnnukncuccfu.
8/171
Two letters picked without replacement from sgvvswu. What is prob of sequence gw?
1/42
Two letters picked without replacement from {l: 2, c: 4, w: 1, n: 4}. Give prob of sequence cn.
8/55
Calculate prob of sequence tott when four letters picked without replacement from {h: 1, t: 6, o: 1, i: 5, u: 1}.
5/1001
Four letters picked without replacement from {o: 2, h: 2, y: 5, e: 1, l: 4, j: 1}. What is prob of sequence eljy?
1/1638
What is prob of sequence nnj when three letters picked without replacement from {j: 4, n: 2}?
1/15
Calculate prob of sequence oeeo when four letters picked without replacement from {f: 2, o: 1, e: 2}.
0
Calculate prob of sequence esi when three letters picked without replacement from {e: 1, o: 1, n: 1, i: 1, s: 1}.
1/60
What is prob of sequence ci when two letters picked without replacement from {c: 4, i: 3}?
2/7
Four letters picked without replacement from ptuotuttptuoo. What is prob of sequence ppoo?
1/1430
Three letters picked without replacement from lllvwlvllilli. What is prob of sequence wlv?
4/429
Calculate prob of sequence bma when three letters picked without replacement from mgssaesmbam.
1/165
Calculate prob of sequence fun when three letters picked without replacement from {b: 2, e: 1, u: 1, n: 3, f: 3, d: 2}.
3/440
Three letters picked without replacement from {t: 12, i: 7}. What is prob of sequence tii?
28/323
Calculate prob of sequence ml when two letters picked without replacement from llkkmllkillmkkll.
1/15
Calculate prob of sequence sjn when three letters picked without replacement from jjmjmmsnmmmnnn.
1/182
Calculate prob of sequence ff when two letters picked without replacement from fqfrfffqfqqqqff.
4/15
Three letters picked without replacement from {o: 3, d: 1, s: 4}. Give prob of sequence osd.
1/28
Calculate prob of sequence unc when three letters picked without replacement from zuncrzuiuunnnnnizznn.
4/855
Two letters picked without replacement from {j: 16, w: 2}. What is prob of sequence ww?
1/153
Calculate prob of sequence chbc when four letters picked without replacement from huhbchhchchbul.
3/1001
Two letters picked without replacement from {y: 1, u: 2, p: 1}. Give prob of sequence yu.
1/6
Two letters picked without replacement from bgbgb. Give prob of sequence bb.
3/10
Calculate prob of sequence qeg when three letters picked without replacement from eegkuukq.
1/168
What is prob of sequence ny when two letters picked without replacement from nydww?
1/20
What is prob of sequence fk when two letters picked without replacement from fdkffbjdbkjffjd?
1/21
What is prob of sequence fffm when four letters picked without replacement from {f: 2, m: 5}?
0
Calculate prob of sequence ww when two letters picked without replacement from {w: 7, l: 12}.
7/57
Two letters picked without replacement from {d: 3, m: 8}. What is prob of sequence dd?
3/55
What is prob of sequence kkuk when four letters picked without replacement from kuuukkukkkkkkkkkuk?
143/1224
Calculate prob of sequence ic when two letters picked without replacement from {d: 1, i: 2, k: 1, j: 1, b: 2, c: 1}.
1/28
Two letters picked without replacement from pptaawtpadttp. Give prob of sequence ta.
1/13
Two letters picked without replacement from fpxbbyxxppxbbe. What is prob of sequence pb?
6/91
Two letters picked without replacement from qqxvajvhvqh. What is prob of sequence qq?
3/55
Three letters picked without replacement from {w: 2, a: 1, u: 5, n: 1}. What is prob of sequence wwa?
1/252
Three letters picked without replacement from ejjjjwjjjjjeejjeewe. What is prob of sequence jww?
11/2907
Three letters picked without replacement from {b: 4, q: 5, n: 1, i: 1}. What is prob of sequence nbq?
2/99
Three letters picked without replacement from {g: 1, h: 1, e: 2, n: 1, y: 2, t: 1}. What is prob of sequence eet?
1/168
Four letters picked without replacement from {h: 1, x: 14, f: 2}. Give prob of sequence hffx.
1/2040
Two letters picked without replacement from {v: 1, q: 1, f: 1, r: 1, t: 1}. Give prob of sequence rf.
1/20
Two letters picked without replacement from {s: 2, n: 2, c: 4, a: 1}. Give prob of sequence ca.
1/18
Calculate prob of sequence irif when four letters picked without replacement from yfrifyiryfiirfri.
2/273
What is prob of sequence ii when two letters picked without replacement from jjxcjcjjijiccjj?
1/105
Calculate prob of sequence ee when two letters picked without replacement from eeeeee.
1
Two letters picked without replacement from {i: 1, r: 1, h: 1, x: 4, g: 1}. What is prob of sequence hr?
1/56
Four letters picked without replacement from {i: 1, k: 1, s: 2, e: 1}. What is prob of sequence esis?
1/60
Four letters picked without replacement from {s: 6, a: 7}. Give prob of sequence ssaa.
21/286
Two letters picked without replacement from {r: 2, v: 6, k: 1, b: 4, c: 1, y: 1}. Give prob of sequence kr.
1/105
Calculate prob of sequence dod when three letters picked without replacement from {w: 1, m: 4, o: 3, d: 5, p: 5}.
5/408
Calculate prob of sequence jy when two letters picked without replacement from yjcyjjmmjzjm.
5/66
What is prob of sequence jjv when three letters picked without replacement from jjjvvv?
3/20
Two letters picked without replacement from {g: 1, i: 1, l: 5, q: 9}. What is prob of sequence ig?
1/240
Four letters picked without replacement from wwwwppwpwwppwwwwpw. What is prob of sequence wwww?
11/68
Calculate prob of sequence mmrm when four letters picked without replacement from {m: 4, r: 1, w: 6}.
1/330
Calculate prob of sequence hk when two letters picked without replacement from {v: 2, h: 1, k: 1, r: 1, o: 2, u: 1}.
1/56
Three letters picked without replacement from {a: 3, i: 13}. Give prob of sequence aaa.
1/560
Three letters picked without replacement from tgteufeheghggeteethf. What is prob of sequence tug?
2/855
Two letters picked without replacement from alaavllllaaaal. Give prob of sequence ll.
15/91
Calculate prob of sequence arrr when four letters picked without replacement from aaaararaaraaaa.
1/364
Four letters picked without replacement from {i: 7, f: 3, k: 3}. Give prob of sequence fifi.
21/1430
Four letters picked without replacement from {h: 2, b: 7}. Give prob of sequence bhbb.
5/36
What is prob of sequence otp when three letters picked without replacement from {o: 1, t: 1, k: 1, p: 1, v: 1}?
1/60
Calculate prob of sequence szsq when four letters picked without replacement from qqtszsstsss.
1/132
Four letters picked without replacement from {w: 2, q: 1, v: 1, a: 1, p: 1, o: 2}. Give prob of sequence waqo.
1/420
What is prob of sequence vn when two letters picked without replacement from {q: 1, i: 2, v: 1, r: 2, n: 1,
|
{
"pile_set_name": "DM Mathematics"
}
|
multiple of 13?
True
Let v = -12 - 1. Let p = -1 - v. Does 5 divide p?
False
Let w(a) = -a**2 + 5*a + 5. Let q be w(6). Let g be (-3 - -6)*q/(-1). Suppose 0 = -c + 3, 24 = -g*x + 4*c + 72. Does 10 divide x?
True
Suppose 5*p + 2*k + 304 = 1218, -3*p - 3*k + 543 = 0. Is 39 a factor of p?
False
Let i = -10 + 12. Suppose 635 = 5*z - i*l - 2*l, 0 = 3*z + 4*l - 381. Is 37 a factor of z?
False
Suppose -8*l + 3*l = -60. Does 12 divide l?
True
Let c = 69 - 27. Is 12 a factor of c?
False
Suppose 0 = 3*d - 5*h - 29, 5*h = -2*d + 7*d - 35. Suppose -4*a + 236 = -52. Suppose -d*f - f = -a. Is f a multiple of 6?
True
Suppose 3*c - 16 = -c, 636 = 4*q + 4*c. Suppose 0 = -6*u + u + q. Suppose -4*n + 5*n - u = 0. Is n a multiple of 9?
False
Let a be 66/10 + (-6)/(-15). Let c(w) = 5*w - 17. Is c(a) a multiple of 9?
True
Let f(o) be the third derivative of o**5/30 - o**4/24 + 9*o**2. Is 3 a factor of f(-1)?
True
Is (2 + 0 - 5)*-1 even?
False
Let p(d) = 4*d - 6. Let y = 8 - 2. Does 6 divide p(y)?
True
Let u(x) = x**2 + 11*x + 12. Does 36 divide u(-15)?
True
Let m = -5 - -10. Let p = -3 + m. Suppose 3*j = p*d - 4, j + j = -2*d + 24. Does 8 divide d?
True
Suppose -5*t + 5*k + 100 = 0, -60 = -7*t + 3*t - k. Is t a multiple of 8?
True
Suppose 1899 = 9*c - 351. Does 16 divide c?
False
Suppose -3*p - 3*g = 0, 0*p + 3*p = 2*g + 15. Suppose p = 3*i - 3. Is i a multiple of 2?
True
Is 9 a factor of ((-18)/(-15))/((-2)/(-15))?
True
Let u(c) = 4*c**2 - c. Let t be u(1). Suppose 3*s - 19 = -z, 2*z - t*s - 2*s - 38 = 0. Does 19 divide z?
True
Let d(l) = 3*l**3 - 3*l**2 + 5*l + 5. Does 19 divide d(3)?
False
Let m(g) be the first derivative of g**4/4 + 7*g**3/3 - 11*g**2/2 + 5*g - 2. Does 12 divide m(-8)?
False
Suppose -136 = -3*u + 284. Is 22 a factor of u?
False
Suppose 0 = 2*q - 58 - 190. Suppose -s - 2*a + 46 = 0, 3*s + q = 6*s - a. Is s a multiple of 21?
True
Let w be (-10)/(-3)*(-15)/(-10). Is w/15 + (-29)/(-3) a multiple of 10?
True
Is -7*(-1 + 2)*-1 a multiple of 7?
True
Let o(g) = g**2 - g - 7. Suppose -5*l + 4*w = 13, 2*w + 7 = 4*l + 21. Does 9 divide o(l)?
False
Let m = -138 + 166. Does 3 divide m?
False
Let y(c) = -3*c**3 - c**2 + 9*c - 3. Is 6 a factor of y(-4)?
False
Suppose -8*x = -4*x + 72. Let r be 6/(-9)*x/(-4). Let b(t) = 4*t**2 + 4*t. Is b(r) a multiple of 12?
True
Suppose 4*s = -3*h + 6, -3*s + 13 = -h - h. Suppose -2*d - s*d = o - 38, 5*o = -5*d + 130. Is o a multiple of 23?
True
Let s(d) = 3*d**2 - 6*d + 5. Let l be s(4). Suppose 3*b - 5*v - 15 = 0, 3*v = -0*b - 2*b + l. Suppose -j + 9 = -b. Is j a multiple of 7?
False
Let f(a) = -13*a + 5. Let m be f(-7). Suppose 4*s - 352 = -m. Suppose 3*v - s = 8. Is v a multiple of 12?
True
Let a = -13 + 18. Let c(l) = 12*l**2 - 2*l - 2. Let o be c(a). Suppose -o = -5*p - 4*q, -p - 3*q = 2*q - 66. Is 28 a factor of p?
True
Let p be (81/6)/((-1)/2). Let w = 39 + p. Is 4 a factor of w?
True
Suppose 0*o = o - 4. Suppose -3 = 4*q + 5, o*u + 6 = -3*q. Is -13*(u - (0 + 1)) a multiple of 7?
False
Let c be (-2)/6 - 2/3. Let i = c - -1. Suppose -2*n + 8 = -i. Is n even?
True
Let k(v) = 15*v - 20. Is 24 a factor of k(5)?
False
Let q = -25 + 45. Let r(f) = -f**2 + 2*f + 3. Let l be r(3). Suppose 2*c - 30 = -3*c + j, -5*c - j + q = l. Does 4 divide c?
False
Does 26 divide ((-39)/2)/((-5)/40)?
True
Let y = 19 + -13. Let v = y + -4. Does 9 divide 0 + 23 + v - -1?
False
Suppose -2*u = -0 - 58. Does 8 divide u?
False
Let u = 43 - 22. Is 7 a factor of u?
True
Let w = 7 - 1. Suppose w*h - 192 = 2*h. Is h a multiple of 16?
True
Let i(k) = -k**3 + 3*k**2 - 2*k. Let m be i(2). Suppose m = -l - 3 - 39. Let u = -20 - l. Is 11 a factor of u?
True
Let z(b) = -b**2 - 6*b + 8. Let j be z(7). Let v = 128 + j. Is 10 a factor of v?
False
Let s(r) = -r - 21. Let l be s(0). Let v(u) = -4*u**2 - 1. Let k be v(3). Let t = l - k. Does 8 divide t?
True
Let t = -22 - -54. Is 16 a factor of t?
True
Suppose -12*h = -6*h - 1050. Does 36 divide h?
False
Let y = 5 + 16. Is y a multiple of 13?
False
Let a be (-3)/(-6) + (-2)/4. Let d = a - -4. Suppose -4*z + 60 = -4*k, d*z - 5 - 53 = 2*k. Is z a multiple of 6?
False
Let f = -18 + 12. Let u(g) = -g**2 - 9*g - 3. Does 15 divide u(f)?
True
Let b(w) = -5*w**3 - 2*w**2 + w - 1. Is b(-2) a multiple of 6?
False
Let z = -22 - -10. Is 12 a factor of (z/(-8))/(2/16)?
True
Let m(u) = u - 8. Let g be m(0). Let j = g + 29. Is j a multiple of 7?
True
Let f(l) = l**3 - 3*l**2 - 4*l - 1. Does 29 divide f(5)?
True
Suppose 32 = -o - o. Let i = o + 27. Is i a multiple of 11?
True
Suppose 4*b + 3 = -9, 5*b - 345 = -5*m. Is m a multiple of 20?
False
Let b = -23 + 25. Suppose -v + 2*v - 11 = 4*d, 4*v = -b*d + 134. Does 31 divide v?
True
Let f = 685 - 300. Does 35 divide f?
True
Let s(i) = i**3 + 9*i**2 + 9*i + 8. Let r be s(-8). Let w(o) = 0 + r + 7*o**2 - 2*o + 0*o. Is w(2) a multiple of 12?
True
Suppose -k - 2*k = t - 523, k + 4*t = 156. Suppose l + k = 3*l. Is 11 a factor of 3/2*l/6?
True
Let i be ((-6)/12)/(2/(-12)). Suppose -81 = -i*f + 5*x, -5*f + 120 = -5*x - 5. Is f a multiple of 22?
True
Suppose -j = -4*y + 5, -3*j = j - 12. Suppose -6*v + y*v = 0. Suppose -z + 3 = -v. Is z a multiple of 3?
True
Let c = -136 - -53. Let p = -57 - c. Is p a multiple of 13?
True
Let m(x) = -x**2 - x. Let a be m(-1). Let q(d) = a - 3 - 6 + 3 - 3*d. Does 6 divide q(-6)?
True
Let c(f) = -f**2 + 4*f + 7. Let t be c(5). Suppose -2*a - 167 = -5*b, -t*b + 2*a = -75 + 7. Does 11 divide b?
True
Let x(d) = -d**3 - 3*d**2 + d + 3. Let r = 0 + -4. Let w be x(r). Is (0 - -1)/(-1) + w a multiple of 7?
True
Let b be 63/6 + (-3)/6. Is 10 a factor of (-4)/10 - (-154)/b?
False
Let c(i) = -4*i + 6. Let k(w) = 2*w - 3. Let x(b) = -3*c(b) - 5*k(b). Let l be x(6). Suppose -2*g + l = 1. Is g a multiple of 2?
True
Suppose -3*u = x + 10, 6*u = 2*u + 4*x - 8. Let a(i) = 264*i. Let g be a(-1). Is (u/2)/(11/g) a multiple of 10?
False
Let z be (3/(-3) - -3) + 3. Let l be 0 - (z - 0)*-1. Suppose -l*p + 4*x = -4, -p + 24 = x + 4*x. Does 4 divide p?
True
Let r be (0 - -3)*1/(-3). Let a = r + 6. Let b = a - -5. Is 10 a factor of b?
True
Let h(o) = 3*o - 3. Let f be h(3). Let t(d) be the first derivative of d**4/4 - 7*d**3/3 + 3*d**2 + 4*d - 1. Is t(f) a multiple of 2?
True
Let k(b) = b - 4*b**2 + 0 + 5*b**2 + 2 + 7. Is 12 a factor of k(-4)?
False
Suppose 8 = -3*q + q. Let z be 6 + (3 + q - 2). Is 291/9 - (-2)/z a multiple of 13?
False
Let r be 54/(-15)*(-80)/6. Let t = r + 2. Is 11 a factor of t?
False
Suppose -154 = -2*t + 2*x, 0 = -6*t + t + 2*x + 397. Is 6 a factor of t?
False
Suppose 3*x - 542 = 382. Does 22 divide x?
True
Let h(u) be the second derivative of u**4/3 + u**3/3 - u**2/2 + u. Let t be h(1). Does 10 divide (-64)/(-5) - (-1)/t?
False
Is 146/24*-3*-16 a multiple of 18?
False
Let w(j) = -4*j + 11. Is 23 a factor of w(-7)?
False
Is 5*1 - 4/(-2) a multiple of 7?
True
Let w(j) = 5*j**3 - 21*j**2 - 12*j - 1. Let n(z) = 3*z**3 - 11*z**2 - 6*z. Let k(m) = 7*n(m) - 4*w(m). Is 8 a factor of k(-5)?
True
Suppose 0 = 7*x - 3*x - 8. Let b(s) = 25*s - 3. Is 10 a factor of b(x)?
False
Let q(t) = 4*t + 9. Suppose -a + 5*u - 1 = 2, 0 = -4*a - 2*u + 32. Is 8 a factor of q(a)?
False
Let c = 72 - 101. Let j = 82 + c. Is 19 a factor of j?
False
Does 11 divide 495/18*(-12)/(-5)?
True
Suppose -3*o + 119 = -79. Does 22 divide o?
True
Suppose 3*z + 13 = 4*q, q + z = 3*q - 5. Does 8 divide (-35)/(-5) - q/(-1)?
True
Let s = -46 - -86. Is 8 a factor of s?
True
Let j(l) = -l**3 + 7*l**2 - l - 8. Is 6 a factor of j(6)?
False
Suppose -2*j - 5 = 3*j. Is 20 a factor of j - 1 - (-2 + -20)?
True
Let k be (1 + 0)*0/(-2). Suppose k = p - 8 - 78. Let l = -49 + p. Is l a multiple of 20?
False
Let j = -31 + 52. Does 7 divide j?
True
Let f = 8 + -3. Suppose f*u = -4*i - i + 170, -2*u = -3*i + 112. Is i a multiple of 18?
True
Suppose 8*m - 5 = 3*m - 5*r, 0 = 5*r + 5. Suppose -5*f = -m - 13. Suppose 5*k - 46 = f*k. Does 18 divide k?
False
Let z(v) = -5*v + 3. Let r(b) = 6*b - 3. Let h(y) = 4*r(y) + 5*z(y). Let o be h(10). Let t = o - -18. Does 11 divide t?
True
Let j = -6 - -6. Let k be ((-18)/3 - j) + 2. Let p = 14 - k. Is p a multiple of 18?
True
Is 19 a factor of (-23*3)/(7 + -8)?
False
Let b = 2 + 0. Suppose b*i - 2 = -0. Suppose p + i = 4. Is p a multiple of 3?
True
Let s(g) = 2*g**2 + 8*g - 7.
|
{
"pile_set_name": "DM Mathematics"
}
|
in 2, 14, -5, 0.2, 5?
5
Which is the fourth biggest value? (a) -4/3 (b) 0 (c) 0.02 (d) -8
d
What is the second smallest value in -1.5, 1, 0.1?
0.1
What is the third biggest value in 20, -6, -0.2?
-6
Which is the third smallest value? (a) -0.2 (b) 2/9 (c) 11/7
c
What is the biggest value in -196/67, -1, 3?
3
Which is the smallest value? (a) -47 (b) 0.1 (c) 0
a
Which is the second biggest value? (a) -2/33 (b) -5 (c) -0.5 (d) 2 (e) -3
a
Which is the fourth biggest value? (a) -0.03 (b) -175 (c) 4/5 (d) 0.3 (e) 3
a
What is the second biggest value in -0.56, -1.5, -0.1?
-0.56
Which is the smallest value? (a) -2/28805 (b) -0.1 (c) 0.1
b
What is the fourth smallest value in -0.03, 2, -2/9, 1/12?
2
Which is the fourth biggest value? (a) -4 (b) 1 (c) -0.2 (d) 9.9
a
Which is the fourth biggest value? (a) -2 (b) 1.5 (c) 1 (d) -0.53
a
What is the second biggest value in 2/3, -0.8, 1948?
2/3
Which is the third biggest value? (a) -862 (b) -5 (c) -1 (d) 5
b
What is the fourth biggest value in -1, -0.1, 6/5, -1/3?
-1
Which is the biggest value? (a) 2 (b) -0.3 (c) -5 (d) 3
d
Which is the fourth biggest value? (a) 4/91 (b) 1/3 (c) 5/3 (d) 5 (e) -9
a
Which is the third biggest value? (a) 3/2 (b) -3/10 (c) -4 (d) -0.2
b
What is the fourth biggest value in -1/2, 1/3, -51, 5?
-51
What is the smallest value in -1/6, -0.4, 2/3, 14?
-0.4
What is the fifth smallest value in -0.5, -1/32, -2, -0.4, 0.2?
0.2
Which is the third smallest value? (a) 10 (b) 0.1 (c) -1 (d) -18
b
What is the second smallest value in -7, -24, 2/7?
-7
What is the fifth biggest value in -200, -0.3, -1/6, -4, 2?
-200
What is the smallest value in -1, 1/3, 0.75?
-1
Which is the smallest value? (a) -1/12 (b) 0 (c) 0.3 (d) -0.2
d
Which is the second biggest value? (a) 1/3 (b) -0.4 (c) 0.3 (d) -3/8
c
What is the second smallest value in 0.2, 2/15, -7/30?
2/15
Which is the second smallest value? (a) -1/9 (b) 2 (c) 3 (d) 95
b
What is the smallest value in 0.07, -1/2, 1, 3.9, -0.4?
-1/2
What is the third biggest value in 1/8, 10, -2/13?
-2/13
Which is the second biggest value? (a) -5 (b) -0.4 (c) 2 (d) 18
c
What is the third smallest value in 2/13, 2, 0.346?
2
Which is the smallest value? (a) 1/3 (b) -27 (c) -3 (d) 2/9
b
Which is the smallest value? (a) 25 (b) 0.8 (c) 21
b
Which is the smallest value? (a) -34 (b) -3 (c) 14
a
What is the third biggest value in -1/2, 2/53, 27?
-1/2
Which is the fourth biggest value? (a) 0.3 (b) 19 (c) 14 (d) -3
d
Which is the third biggest value? (a) -11 (b) 5/3 (c) 15
a
Which is the third biggest value? (a) 4 (b) -14/9 (c) 9
b
What is the fourth biggest value in -18, -1, -0.03, -0.3, 3?
-1
Which is the smallest value? (a) 3/106 (b) 2 (c) -0.2
c
Which is the third biggest value? (a) -5 (b) 5 (c) -0.1 (d) -1
d
What is the fourth smallest value in -1/236, 5, 2, 2/13?
5
Which is the third smallest value? (a) -2/7 (b) -17/5 (c) 0.134
c
Which is the third smallest value? (a) 2 (b) 0.17 (c) 3 (d) -0.3 (e) -3
b
Which is the biggest value? (a) -4 (b) -32/9 (c) -8
b
Which is the fifth biggest value? (a) -4 (b) 1 (c) -3 (d) 450 (e) 0.5
a
Which is the fifth biggest value? (a) 4 (b) -4 (c) -5 (d) 1 (e) 7
c
Which is the fourth smallest value? (a) -3 (b) 5 (c) 1/3 (d) 28
d
Which is the fourth smallest value? (a) -3 (b) 2/7 (c) 0.2 (d) 0.092 (e) -1/7
c
Which is the third biggest value? (a) -0.03 (b) -3/17 (c) -0.4
c
Which is the second smallest value? (a) -1.24 (b) -1/3 (c) 25
b
What is the smallest value in 5, -3, 0, -1/2?
-3
Which is the smallest value? (a) 2 (b) 0.1 (c) 138
b
What is the biggest value in -0.18, 5, -0.1?
5
Which is the fourth biggest value? (a) -2/5 (b) 0.6 (c) -0.1 (d) 3 (e) 0.152
c
Which is the third smallest value? (a) -4.78 (b) 0.2 (c) 0.5 (d) 3 (e) 4/3
c
What is the third smallest value in 1, -38.2, 0.2, -0.04?
0.2
Which is the third biggest value? (a) 4 (b) -60 (c) 0.4 (d) 2
c
What is the second smallest value in -301/20, -5, 3/2?
-5
Which is the biggest value? (a) -24/5 (b) -4 (c) 0
c
Which is the third biggest value? (a) -8 (b) 0.5 (c) 5 (d) 4
b
What is the third smallest value in 0.14, -3, -4, 1/3, -1?
-1
Which is the second biggest value? (a) 1/8 (b) 1/4 (c) 0.5 (d) -5 (e) -13
b
What is the second smallest value in -1, -177/2, 0.04?
-1
What is the biggest value in -0.1, 1, -413, 0?
1
Which is the fifth smallest value? (a) 0.3 (b) 0.07 (c) 2/7 (d) 0.034 (e) -4
a
Which is the smallest value? (a) 4 (b) 1/22 (c) -5
c
Which is the third smallest value? (a) 2/3 (b) 1/6 (c) -974 (d) 0.4 (e) -4
b
Which is the fourth smallest value? (a) 3 (b) 153 (c) 4 (d) -1
b
What is the third smallest value in -2/17, 2, -0.082?
2
What is the fifth smallest value in -1/7, -0.2, -4, 5, 0.08?
5
Which is the second smallest value? (a) -0.3 (b) 6 (c) -2 (d) 8 (e) 4/7
a
Which is the second smallest value? (a) 0.5 (b) -28 (c) 0.2
c
Which is the biggest value? (a) -4 (b) 0.5 (c) 0.4 (d) -11
b
What is the fourth smallest value in 1/7, 0.4, -2/5, -0.33, 10?
0.4
Which is the smallest value? (a) 742/3 (b) -2 (c) -0.1
b
What is the third smallest value in -4, 11, -82?
11
What is the second biggest value in -0.2, -2/401, 2/3?
-2/401
Which is the second smallest value? (a) -0.21 (b) -27/5 (c) 0.5
a
What is the biggest value in 0, 1/17, -2/13, -2?
1/17
What is the third smallest value in -0.05, 2, -1, 0.04?
0.04
What is the fourth smallest value in 1, -2/3, -0.4, -0.89?
1
Which is the smallest value? (a) -5 (b) -1 (c) 10/3 (d) -1/6
a
What is the third smallest value in 10, 0, -3, -1/8?
0
Which is the third biggest value? (a) 4 (b) 0.1 (c) -2/31
c
What is the third smallest value in 5, 1, 0.024?
5
Which is the smallest value? (a) 3 (b) 0.1 (c) -4 (d) 113
c
What is the second smallest value in 3, -0.1219, -0.5?
-0.1219
Which is the third smallest value? (a) -1/4 (b) -2.7 (c) 1
c
Which is the third biggest value? (a) -2 (b) -0.1 (c) 4/3 (d) 0
b
What is the smallest value in 0.9, 1/5, 1/3, 2/5, -3/4?
-3/4
What is the biggest value in 2576, -2/9, 1/3?
2576
Which is the biggest value? (a) -4/307 (b) 2/3 (c) 3 (d) -3/5
c
Which is the third biggest value? (a) -2 (b) -0.1 (c) -1.7 (d) -5 (e) -3
a
What is the second biggest value in -4, -223, 2, 2/3?
2/3
Which is the second smallest value? (a) -7 (b) -1.7 (c) -0.5 (d) 0
b
Which is the biggest value? (a) 183 (b) 3 (c) -2
a
What is the fourth biggest value in 0, 0.2, 7, 5, -1/17?
0
What is the smallest value in -0.5, -3/20, 0?
-0.5
What is the biggest value in -4, 0.1, 2/25, 1/3?
1/3
Which is the fourth smallest value? (a) -14 (b) -5 (c) 1 (d) -1/3 (e) 0.9
e
What is the second smallest value in -3/2, -65, 3/8?
-3/2
What is the biggest value in -1/5, -4, 0.1, 2/13?
2/13
Which is the smallest value? (a) 0.2 (b) 5 (c) -1 (d) -3
d
What is the third smallest value in 3/4, -0.2, 0.02, 0?
0.02
Which is the second smallest value? (a) 0.5 (b) -0.09 (c) -4
b
Which is the fourth biggest value? (a) -0.3 (b) 417 (c) -3 (d) 13 (e) 0.5
a
What is the smallest value in 0.2, 1/44, -0.5, 2?
-0.5
What is the third biggest value in -35, -10, 1?
-35
Which is the third biggest value? (a) 0 (b) -2/7 (c) 5 (d) 1/9 (e) -1
a
Which is the biggest value? (a) 9/2 (b) 0.1 (c) -0.3 (d) -4 (e) 0.3
a
Which is the biggest value? (a) 1 (b) 3 (c) -19 (d) -1 (e) 5
e
Which is the second smallest value? (a) 2 (b) 0.4 (c) 0.5 (d) -0.056 (e) 0.19
e
What is the second smallest value in -0.06, 10, -0.1?
-0.06
What is the second biggest value in -7, 1/14, 5?
1/14
Which is the fourth smallest value? (a) 0.12 (b) -5 (c) -2 (d) 0.2
d
What is the second smallest value in 0.21, -2, -7.6?
-2
What is the third biggest value in -1, -0.3, -63/46, -0.4?
-1
Which is the second biggest value? (a) -2/9 (b) 2/59 (c) -2/19 (d) 0.7
b
What is the second smallest value in -0.1, 3/4, -0.2, 7/4?
-0.1
Which is the third biggest value? (a) 0.28 (b) 0.3 (c) -4 (d) 1/10
d
What is the fourth smallest value in 13, 24, 4, -0.1?
24
Which is the second biggest value? (a) 4 (b) 3 (c) 55
a
What is the biggest value in 4, 0.3, -0.2, 25?
25
Which is the fi
|
{
"pile_set_name": "DM Mathematics"
}
|
t -13 (base 4) to base 3.
-21
9 (base 16) to base 7
12
What is 47 (base 16) in base 15?
4b
-5 (base 7) to base 15
-5
Convert -88 (base 16) to base 6.
-344
What is 0 (base 15) in base 14?
0
Convert -10 (base 8) to base 2.
-1000
-1220 (base 4) to base 10
-104
-3 (base 6) to base 7
-3
Convert 1 (base 3) to base 6.
1
What is -25 (base 9) in base 16?
-17
-3 (base 9) to base 5
-3
What is -5 (base 10) in base 5?
-10
Convert 174 (base 11) to base 13.
127
What is -1120 (base 4) in base 5?
-323
Convert 4 (base 13) to base 4.
10
Convert 10 (base 5) to base 9.
5
Convert 110 (base 2) to base 3.
20
What is -3 (base 4) in base 14?
-3
1011 (base 2) to base 7
14
Convert -2 (base 15) to base 16.
-2
-5 (base 12) to base 13
-5
Convert 25 (base 9) to base 12.
1b
Convert -1 (base 9) to base 10.
-1
4 (base 16) to base 7
4
241 (base 10) to base 16
f1
Convert -60 (base 16) to base 10.
-96
-4 (base 10) to base 8
-4
-3 (base 16) to base 2
-11
Convert 110 (base 3) to base 11.
11
Convert -3 (base 9) to base 7.
-3
Convert -2 (base 4) to base 2.
-10
What is 15 (base 11) in base 6?
24
Convert 10 (base 16) to base 8.
20
22 (base 7) to base 13
13
-31 (base 11) to base 15
-24
3c (base 14) to base 7
105
-ac (base 14) to base 6
-412
What is 1d (base 14) in base 8?
33
-1001 (base 2) to base 3
-100
What is 2 (base 7) in base 3?
2
What is -11 (base 11) in base 6?
-20
-3 (base 4) to base 9
-3
Convert 0 (base 4) to base 12.
0
Convert 42 (base 11) to base 12.
3a
11 (base 2) to base 7
3
What is -2 (base 9) in base 15?
-2
What is 10 (base 5) in base 12?
5
What is -15 (base 7) in base 8?
-14
What is 4 (base 14) in base 10?
4
What is 12b (base 12) in base 13?
10a
What is -a (base 12) in base 13?
-a
What is -1211 (base 3) in base 16?
-31
-142 (base 6) to base 7
-116
What is 53 (base 8) in base 13?
34
What is -12c (base 13) in base 4?
-3033
101 (base 3) to base 13
a
Convert -146 (base 7) to base 16.
-53
Convert -2 (base 15) to base 6.
-2
Convert -135 (base 8) to base 12.
-79
0 (base 16) to base 15
0
What is -10011 (base 2) in base 14?
-15
What is 10 (base 3) in base 8?
3
What is 28 (base 14) in base 7?
51
-21 (base 5) to base 8
-13
Convert -d (base 15) to base 12.
-11
Convert 100 (base 3) to base 7.
12
1010000 (base 2) to base 15
55
Convert 3 (base 10) to base 11.
3
Convert 12 (base 5) to base 12.
7
Convert 2 (base 8) to base 12.
2
Convert -3 (base 6) to base 5.
-3
Convert 4 (base 15) to base 5.
4
Convert 24 (base 12) to base 11.
26
What is -2 (base 9) in base 15?
-2
What is 59 (base 11) in base 3?
2101
Convert -1 (base 9) to base 5.
-1
Convert -1 (base 14) to base 6.
-1
Convert 74 (base 9) to base 3.
2111
Convert -211 (base 6) to base 16.
-4f
-11 (base 3) to base 2
-100
-45 (base 6) to base 7
-41
0 (base 3) to base 9
0
What is 22 (base 10) in base 5?
42
Convert 5 (base 6) to base 8.
5
-8 (base 11) to base 13
-8
Convert b (base 15) to base 16.
b
What is -10 (base 12) in base 7?
-15
What is 5 (base 14) in base 16?
5
-5c (base 13) to base 14
-57
Convert -100011 (base 2) to base 5.
-120
What is -8 (base 12) in base 6?
-12
1 (base 10) to base 7
1
Convert 4 (base 13) to base 11.
4
2 (base 15) to base 3
2
Convert 10 (base 2) to base 10.
2
1203 (base 4) to base 5
344
-5 (base 9) to base 10
-5
Convert 72 (base 13) to base 15.
63
-53 (base 12) to base 8
-77
What is -33 (base 4) in base 2?
-1111
Convert 1002 (base 3) to base 6.
45
Convert -2 (base 11) to base 10.
-2
-64 (base 9) to base 7
-112
-13 (base 10) to base 13
-10
What is 2 (base 10) in base 8?
2
-66 (base 13) to base 6
-220
Convert 444 (base 5) to base 15.
84
What is 12 (base 3) in base 12?
5
Convert -53 (base 13) to base 3.
-2112
-11022 (base 3) to base 6
-312
0 (base 2) to base 12
0
2 (base 15) to base 12
2
Convert -1 (base 16) to base 7.
-1
Convert 2d (base 14) to base 3.
1112
Convert a7 (base 11) to base 10.
117
Convert -1 (base 16) to base 2.
-1
7 (base 16) to base 2
111
16 (base 8) to base 13
11
13 (base 15) to base 10
18
What is -52 (base 11) in base 15?
-3c
Convert -3 (base 14) to base 8.
-3
What is -10002 (base 3) in base 14?
-5d
19 (base 16) to base 15
1a
What is 5 (base 12) in base 3?
12
Convert 1b (base 12) to base 11.
21
Convert -1 (base 12) to base 14.
-1
c (base 15) to base 4
30
Convert 67 (base 16) to base 14.
75
Convert -101111 (base 2) to base 3.
-1202
Convert 13 (base 11) to base 8.
16
What is 36 (base 16) in base 3?
2000
Convert 4 (base 8) to base 9.
4
What is -33 (base 6) in base 16?
-15
What is -12 (base 3) in base 16?
-5
Convert 2 (base 8) to base 14.
2
What is 3 (base 16) in base 5?
3
Convert -124 (base 7) to base 14.
-4b
-10 (base 3) to base 8
-3
What is 2 (base 13) in base 12?
2
-6 (base 11) to base 2
-110
18 (base 10) to base 14
14
Convert -3 (base 14) to base 3.
-10
1100 (base 2) to base 7
15
What is -3 (base 12) in base 13?
-3
-4 (base 11) to base 12
-4
What is -21 (base 3) in base 2?
-111
What is 4 (base 6) in base 9?
4
What is -15 (base 11) in base 14?
-12
15 (base 13) to base 7
24
20 (base 4) to base 6
12
Convert 1a (base 16) to base 15.
1b
What is 5 (base 14) in base 12?
5
What is -48 (base 12) in base 6?
-132
Convert 1 (base 8) to base 14.
1
-1 (base 14) to base 15
-1
Convert -20000 (base 3) to base 8.
-242
20201 (base 3) to base 16
b5
What is 31 (base 5) in base 12?
14
What is -4 (base 6) in base 16?
-4
Convert -1 (base 3) to base 7.
-1
-1a (base 13) to base 6
-35
-18 (base 11) to base 6
-31
What is -28 (base 9) in base 12?
-22
Convert 22 (base 7) to base 14.
12
Convert -88 (base 15) to base 10.
-128
-7 (base 12) to base 5
-12
16 (base 15) to base 3
210
What is -c (base 16) in base 12?
-10
12 (base 9) to base 10
11
Convert -6 (base 9) to base 13.
-6
-9 (base 16) to base 3
-100
177 (base 14) to base 3
102011
What is 18 (base 9) in base 10?
17
What is -c (base 15) in base 12?
-10
What is 10 (base 3) in base 4?
3
What is -32 (base 13) in base 8?
-51
What is 5 (base 12) in base 13?
5
2 (base 8) to base 2
10
Convert 2 (base 8) to base 10.
2
51 (base 10) to base 6
123
Convert -10 (base 2) to base 8.
-2
5 (base 10) to base 16
5
7c (base 14) to base 8
156
c (base 16) to base 4
30
What is -1 (base 12) in base 10?
-1
1 (base 14) to base 3
1
Convert 34 (base 8) to base 4.
130
What is -32 (base 5) in base 14?
-13
-10 (base 5) to base 13
-5
Convert -23 (base 4) to base 15.
-b
What is -9 (base 14) in base 5?
-14
What is -8 (base 16) in base 9?
-8
22 (base 7) to base 5
31
Convert -4 (base 8) to base 12.
-4
What is -110 (base 12) in base 10?
-156
What is 103 (base 5) in base 11?
26
32 (base 5) to base 10
17
Convert 112 (base 4) to base 5.
42
Convert -20 (base 3) to base 6.
-10
What is -1111 (base 4) in base 12?
-71
12 (base 3) to base 12
5
What is 88 (base 9) in base 3?
2222
-3 (base 4) to base 3
-10
0 (base 14) to base 13
0
Convert 2 (base 15) to base 4.
2
1 (base 9) to base 7
1
-3 (base 4) to base 10
-3
Convert -11010 (base 2) to base 8.
-32
Convert -155 (base 7) to base 2.
-1011001
Convert -1 (base 7) to base 12.
-1
Convert 2 (base 11) to base 8.
2
Convert -26 (base 11) to base 10.
-28
Convert -21 (base 4) to base 10.
-9
What is 5 (base 9) in base 8?
5
-100111 (base 2) to base 3
-1110
-127 (base 8) to base 2
-1010111
What is -1 (base 7) in base 13?
-1
Convert 3a (base 16) to base 5.
213
What is -9 (base 11) in base 5?
-14
Convert 21 (base 3) to base 16.
7
3312 (base 4) to base 15
116
21 (base 11) to base 3
212
Convert -4 (base 6) to base 2.
-100
What is 0 (base 12) in base 6?
0
-1000001 (base 2) to base 13
-50
Convert -20110 (base 3) to base 15.
-b9
Convert 20 (base 16) to base 14.
24
-17 (base 12) to base 11
-18
Convert -1000 (base 2) to base 14.
-8
-2011 (base 4) to base 16
-85
Convert 0 (base 8) to base 4.
0
Convert -2300 (base 5) to base 12.
-231
Convert 1110 (base 3) to base 11.
36
Convert -1 (base 3) to base 4.
-1
Convert -33 (base 6) to base 12.
-19
-78 (base 9) to base 6
-155
-110 (base 4) to base 9
-22
Convert -1 (base 16) to base 8.
-1
-2 (base 12) to base 14
-2
Convert 110000 (base 2) to base 12.
40
What is -78 (base 10) in base 11?
-71
Convert -109 (base 11) to base 9.
-154
-341 (base 5) to base 9
-116
23b (base 12) to base 7
656
Convert 21 (base 7) to base 4.
33
What is -3 (base 16) in base 9?
-3
1202 (base 5) to base 12
129
Convert 101 (base 5) to base 15.
1b
What is 2 (base 4) in base 13?
2
What is 21
|
{
"pile_set_name": "DM Mathematics"
}
|
g: 3, d: 1, j: 1, l: 5, o: 3, h: 2}.
6/455
What is prob of picking 1 t and 1 c when two letters picked without replacement from cuiccccuccccitic?
1/12
Calculate prob of picking 2 i and 2 x when four letters picked without replacement from {i: 2, x: 6}.
3/14
Two letters picked without replacement from ffssfffsffffffffsfff. What is prob of picking 2 f?
12/19
What is prob of picking 1 i and 1 d when two letters picked without replacement from roiiiriod?
1/9
Three letters picked without replacement from {r: 2, f: 8}. What is prob of picking 1 f and 2 r?
1/15
What is prob of picking 1 q and 3 e when four letters picked without replacement from {e: 8, q: 4, o: 2}?
32/143
Two letters picked without replacement from uzuououououozuu. Give prob of picking 2 z.
1/105
Calculate prob of picking 2 d when two letters picked without replacement from dddccdccbbddbbbbb.
15/136
Four letters picked without replacement from {k: 13, g: 5}. Give prob of picking 4 g.
1/612
Four letters picked without replacement from llllgglg. What is prob of picking 4 l?
1/14
Four letters picked without replacement from cnzcznnnrnnnpzzncn. Give prob of picking 2 z, 1 c, and 1 n.
9/170
Three letters picked without replacement from {u: 2, y: 2, a: 1, t: 1}. What is prob of picking 1 u, 1 y, and 1 t?
1/5
Three letters picked without replacement from {w: 1, h: 2, d: 1, l: 2, z: 1}. Give prob of picking 1 h, 1 w, and 1 d.
2/35
Three letters picked without replacement from {g: 1, i: 1, x: 1, c: 1, o: 2, f: 2}. Give prob of picking 1 f, 1 x, and 1 o.
1/14
Calculate prob of picking 2 g when two letters picked without replacement from aagagaaagagpgg.
15/91
Four letters picked without replacement from kpofcppfoopppfooncpp. What is prob of picking 2 c and 2 p?
28/4845
Three letters picked without replacement from {t: 5, v: 5}. What is prob of picking 2 v and 1 t?
5/12
Three letters picked without replacement from {e: 1, c: 1, t: 4, j: 6, a: 1, n: 2}. What is prob of picking 1 c and 2 t?
6/455
Calculate prob of picking 1 q, 1 s, and 1 p when three letters picked without replacement from pspiqppsbbqs.
6/55
Three letters picked without replacement from zuuzzzuzzzzuuzuu. What is prob of picking 1 z and 2 u?
27/80
What is prob of picking 1 z and 1 f when two letters picked without replacement from ffffkkkfkkfjkrz?
2/35
Calculate prob of picking 1 y, 1 x, and 1 b when three letters picked without replacement from yyzrxprzrrbz.
1/110
Four letters picked without replacement from yuyoryrryoyyrryjry. What is prob of picking 2 r, 1 u, and 1 y?
2/51
Two letters picked without replacement from {l: 4, r: 2, b: 1}. Give prob of picking 1 l and 1 r.
8/21
Three letters picked without replacement from jllqqlljjnqwqq. What is prob of picking 3 q?
5/182
Two letters picked without replacement from yggsggggfisdsssiyss. What is prob of picking 1 y and 1 f?
2/171
Two letters picked without replacement from {o: 3, l: 5, e: 2}. Give prob of picking 2 e.
1/45
Four letters picked without replacement from omaaaaoammmaaammamo. Give prob of picking 1 o, 1 a, and 2 m.
189/1292
Calculate prob of picking 1 q and 1 d when two letters picked without replacement from sskdukqsssuqdsdq.
3/40
What is prob of picking 3 o when three letters picked without replacement from sooettsoopt?
4/165
Four letters picked without replacement from {c: 2, o: 6, b: 2, w: 1, u: 1}. What is prob of picking 1 o, 2 c, and 1 w?
2/165
Four letters picked without replacement from sdsll. Give prob of picking 1 d, 2 l, and 1 s.
2/5
Two letters picked without replacement from {x: 3, q: 4, r: 1}. Give prob of picking 2 q.
3/14
Two letters picked without replacement from ooovvovvvn. Give prob of picking 1 o and 1 n.
4/45
Four letters picked without replacement from {x: 1, j: 2, t: 6, c: 3, q: 2}. Give prob of picking 1 t and 3 c.
6/1001
Three letters picked without replacement from {o: 2, l: 11}. What is prob of picking 1 o and 2 l?
5/13
Two letters picked without replacement from {b: 4, f: 1, k: 5, a: 3}. Give prob of picking 2 k.
5/39
Three letters picked without replacement from llrrllhllhhhphllrlll. What is prob of picking 1 r, 1 p, and 1 l?
11/380
Four letters picked without replacement from {z: 5, u: 8}. What is prob of picking 4 u?
14/143
Three letters picked without replacement from whweehteeehehty. Give prob of picking 1 y and 2 e.
3/91
Three letters picked without replacement from {v: 1, z: 2, f: 1, o: 1, l: 1, k: 1}. What is prob of picking 1 k, 1 o, and 1 l?
1/35
What is prob of picking 2 x when two letters picked without replacement from dxdxyxyxdxdddyxxx?
7/34
Three letters picked without replacement from nqqqqqhnqqlqqwqqq. Give prob of picking 2 n and 1 q.
3/170
Three letters picked without replacement from kydyokncykkc. What is prob of picking 1 n and 2 k?
3/110
What is prob of picking 1 k and 1 i when two letters picked without replacement from {q: 1, k: 1, i: 8, y: 3, f: 6}?
8/171
What is prob of picking 2 u when two letters picked without replacement from bbuubbub?
3/28
Three letters picked without replacement from {t: 5, y: 11}. Give prob of picking 1 y and 2 t.
11/56
Calculate prob of picking 1 o, 1 i, and 1 j when three letters picked without replacement from jjabobjobaiajjbbb.
1/68
Four letters picked without replacement from qmqqqmymymmy. What is prob of picking 2 q and 2 y?
2/55
Four letters picked without replacement from aqqqqqqaqaqqqqqq. What is prob of picking 1 a and 3 q?
33/70
Calculate prob of picking 2 o when two letters picked without replacement from {x: 2, l: 3, o: 7, g: 5}.
21/136
What is prob of picking 1 p and 3 f when four letters picked without replacement from iifpiiiiippipiif?
0
Calculate prob of picking 1 e, 2 p, and 1 s when four letters picked without replacement from {p: 3, d: 3, a: 1, h: 2, e: 1, s: 1}.
1/110
Three letters picked without replacement from pseppzsmssm. Give prob of picking 1 p, 1 z, and 1 m.
2/55
What is prob of picking 1 x, 1 w, and 1 d when three letters picked without replacement from dvrwwxxxhwwxdvr?
32/455
Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {q: 2, o: 11}.
11/39
Calculate prob of picking 2 p and 1 y when three letters picked without replacement from pokulyyl.
0
Three letters picked without replacement from {o: 1, w: 2, x: 1, l: 1}. What is prob of picking 1 o, 1 x, and 1 w?
1/5
What is prob of picking 1 i and 2 o when three letters picked without replacement from riorieieroeo?
9/220
Calculate prob of picking 1 u and 1 t when two letters picked without replacement from mtznu.
1/10
Calculate prob of picking 2 c when two letters picked without replacement from ncncnnn.
1/21
Calculate prob of picking 4 b when four letters picked without replacement from bbbhbbbbbbbbbbbhhb.
91/204
Calculate prob of picking 1 r, 1 a, 1 h, and 1 b when four letters picked without replacement from {r: 1, h: 1, b: 1, w: 1, a: 5}.
5/126
Calculate prob of picking 3 k when three letters picked without replacement from {d: 6, k: 4}.
1/30
Four letters picked without replacement from vooztvoozovttzootoz. Give prob of picking 1 z, 1 o, 1 t, and 1 v.
32/323
Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {k: 1, s: 2, g: 6, r: 1, m: 2}.
1/11
Calculate prob of picking 2 e and 2 m when four letters picked without replacement from memmmemmmmmmemm.
66/455
Two letters picked without replacement from {h: 3, y: 4, a: 13}. What is prob of picking 1 y and 1 a?
26/95
Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {t: 1, v: 1, x: 2, l: 2, y: 12}.
8/51
Two letters picked without replacement from phhhph. Give prob of picking 2 h.
2/5
Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {n: 2, p: 1, v: 2, e: 2, y: 1}.
1/14
Three letters picked without replacement from zsysdlz. Give prob of picking 1 y, 1 s, and 1 z.
4/35
Calculate prob of picking 2 z when two letters picked without replacement from {s: 2, z: 6}.
15/28
What is prob of picking 1 v and 1 q when two letters picked without replacement from {c: 5, v: 8, q: 3}?
1/5
Two letters picked without replacement from {s: 9, o: 5}. Give prob of picking 1 o and 1 s.
45/91
What is prob of picking 1 r, 2 x, and 1 w when four lett
|
{
"pile_set_name": "DM Mathematics"
}
|
5 + 18/(-135). Let t be ((-49)/7 - -6)/((-2)/x). Let z = 1 + t. Solve 34 = z*i + 14 for i.
4
Suppose 4*o = 2*g + 166, -2*g + 99 + 15 = 3*o. Let b = o + -9. Suppose 38 = 4*q + 2*j, -4*q - 11*j + b = -16*j. Solve -a + q = -4*a for a.
-3
Suppose -w = -7, 5*t - 411 - 132 = w. Solve -5*o = 50*o + t for o.
-2
Let q(b) = 2*b - 21. Let s be q(12). Suppose -2*k + 5*r = 23, -s*r - 3 + 13 = -5*k. Let h = -35 + 35. Solve h = 3*t - 14 - k for t.
5
Suppose 61*x - 43*x = -78*x + 12576. Solve -x*v = -149*v for v.
0
Suppose 0*o = 3*o - 15, 5*c - 3*o - 190 = 0. Suppose -44*r + 30 = -c*r. Suppose 0 = -0*q + 4*q - 16. Solve q*l = 2*l + r for l.
5
Suppose -5*h = 3*l + 212 - 663, 8 = 4*h. Let f = -13 - l. Let o be (4/(-10))/(4/f). Solve -4*q = -o - 4 for q.
5
Suppose 8*h = 4*h. Let n be 0/(8 + 7/((-14)/8)). Suppose 3*w + 11 = 4*d + 6, -3*d + 35 = 4*w. Solve h = -w*a - n*a - 20 for a.
-4
Suppose 0 = 3*w + 4*j - 2, -10*w + 9*w - 2 = 2*j. Suppose 0 = -b - t - 4, 7*t - 2*t = -b - 16. Let a be (-1)/b - (4 - 10)/3. Solve -a*s + w*s = -9 for s.
-3
Suppose 8 = 4*s + 2*h, -2*h = 5*s - 4*h + 8. Let u be 2/(-2) + 19 + -5. Suppose 0 = 6*i - u - 17. Solve -i*m = -s - 15 for m.
3
Let m be 5*2*1/5. Let t = 333 - 327. Let k(q) = -20*q + 120. Let b be k(t). Solve b = 4*v - m*v for v.
0
Suppose 16 = 4*h + 4*l, -5*l - 93 = -73. Solve -9*q + 89 = h for q.
9
Let r(y) = -4*y**3 - 3*y**2 - 21*y - 38. Let j be r(-2). Solve -485*o + 491*o = j for o.
4
Suppose -78*a = -81*a + 18, -4*a - 184 = -2*f. Solve -35*b - f - 1 = 0 for b.
-3
Let t be (-6)/((-2 - -5)*34/(-51)). Solve -33*f + t = 234 for f.
-7
Suppose -1 = -4*q + 39. Suppose -2*j + 7*j - 7 = 2*g, 4*j + 3*g - 24 = 0. Solve j*u - 7 = q*u for u.
-1
Let o(t) = 19*t - 87. Let w be o(5). Solve 32*l - 40*l = w for l.
-1
Let i(u) be the second derivative of u**4/4 + u**3/3 - u**2/2 - 2*u. Let z be i(1). Let o = 5910 - 5905. Solve -z*y = -o*y - 5 for y.
-5
Let j = 41 + -5. Let f = -102 + j. Let o = f - -68. Solve -o*u = -1 - 9 for u.
5
Let z be 1 - (0 - 2) - (204/(-12) + 3). Solve -j - z*j + 90 = 0 for j.
5
Suppose 0 = 2*u - 4*h + 2, -5*u + 5*h - 11 + 31 = 0. Let i(w) = 4*w - 34. Let r be i(u). Suppose r*m = 4*m. Solve 3 = -s - m*s for s.
-3
Let i(y) = 136*y - 1334. Let p be i(10). Let f be -5*(-2)/(-15)*-9. Solve 24*v - p*v = f for v.
-3
Let m = -4 - -7. Suppose 0 = o, 94 = -4*h + m*o - 102. Let f be ((-6)/10)/(-3) + h/(-5). Solve -f = 3*v - v for v.
-5
Let h = -4087 + 4258. Solve 63 = 180*q - h*q for q.
7
Suppose -20*i + 8*i + 185 = -7*i. Solve -i + 3 = 17*g for g.
-2
Let r be (-1528)/(-20) - -1 - 9*1/(-15). Solve -3*o = -29*o + r for o.
3
Let x be (-528)/(-55)*((-27)/(-6) - 2). Suppose -19*m + x*m - 100 = 0. Solve 2*s = -2*s - m for s.
-5
Let r(m) = -22 + 13*m - 4*m**3 + 0*m**2 + 7*m**2 - 3*m + m**3 + m**3. Let i be r(4). Solve -i*u - 5*u = 0 for u.
0
Let f = -2 + 8. Suppose 0 = 94*j - 79*j - 255. Let g(i) = -i**3 + 16*i**2 + 16*i + 21. Let d be g(j). Solve 6*v = d*v + f for v.
3
Let x(y) = 458*y - 5307. Let p be x(12). Solve 145*w - p = 172*w for w.
-7
Suppose 7*b + 35 = 2*b - 5*a, 3*a - 3 = 3*b. Let f(h) = -h**3 - 2*h**2 + 7*h + 1. Let j be f(b). Solve j*n - 8*n = -12 for n.
4
Let v = -118 - -377. Let f = v - 254. Solve 2 = -f*c + 7 for c.
1
Let n = -293 - -292. Let a be (42/(-12))/n*(-8)/(-14). Solve 7 - 3 = a*c for c.
2
Suppose 8 = -2*n - 5*g + 43, 3*g = 4*n - 5. Let b(m) = m**2 + 17*m + 6. Let y be b(-17). Suppose -8*t = -y*t. Solve -n*i + 14 - 4 = t for i.
2
Let z be (-20)/(-6) + 3*(-6)/(-27). Suppose -z*c + 6*c + 14 = 0. Let n = -3 - c. Solve -n = h - 5*h for h.
1
Let h = -3 + 10. Suppose -3*a - 13 + 13 = 2*a. Suppose 0 = c - 23 + 15. Solve a = 5*w + h + c for w.
-3
Let l = 64 - 55. Suppose -2*g + l = g. Suppose -g = -i - 0. Solve -i*d - 2 = 7 for d.
-3
Let l be (-2)/(-2) + 1 + -1. Suppose 23*b + 125 = 48*b. Suppose -b*i + q - 6*q = 25, i = -2*q - 10. Solve -j + l = -i for j.
1
Let q be 10/(-100)*(-5870)/12 + (-4)/(-48). Solve 8*s + 9 = q for s.
5
Let v(q) = -5*q - 62. Let b be v(-15). Solve 20*s = b*s for s.
0
Let z(s) = s**2 + 23*s + 44. Let n be z(-21). Let d be n/(-4) + (-70)/(-28). Suppose -5 + 1 = -2*y, 0 = 2*b + 4*y - 8. Solve -d*m + 2 = -b*m for m.
1
Let j = -14492 + 14528. Solve -j*s = 2*s - 190 for s.
5
Suppose 0 = -6*r - 32 + 56. Suppose x = 2*x - r. Solve 2*j + x = j for j.
-4
Suppose 290*t = 294*t - 192. Solve -t = 7*g - 41 for g.
-1
Let m(j) = -5*j - 17. Let s(x) = 4*x - 39. Let z(u) = -u - 1. Let n(h) = s(h) - z(h). Let p be n(6). Let l be m(p). Solve -3*t - 8 = -l for t.
5
Suppose 0 = 3*f - 11 - 1. Let v = 75064 + -75063. Solve -f*w = 7 + v for w.
-2
Suppose -o + 2*v + 8 = 0, -68*o + 73*o - 5 = 3*v. Let q be (22 + -22)*(-1)/2*o. Solve -21 = -7*g - q*g for g.
3
Let q = 22218 - 22064. Solve 157*f = q*f for f.
0
Let v be (-108*(-18)/(-63))/((-106)/(-28) - 4). Solve -2*w + 26*w = -v for w.
-6
Let s = 13792 - 13758. Solve s*a = 17*a - 85 for a.
-5
Let a(d) = 1544*d - 9140. Let j be a(6). Solve 0*b = 62*b - j for b.
2
Suppose -6*t + 815 - 149 = 0. Suppose 3*i + t = 126. Solve -i*j = 5 - 30 for j.
5
Let v(h) = 55*h + 30 - 10 - 54*h. Let q be v(9). Suppose -25 = -3*w + l, -2*w = 2*w + 3*l - q. Solve u = -3*u - w for u.
-2
Let b(i) = -2*i + 16. Suppose 0*a - a = 0. Let y be b(a). Let q be (0 + 1/3)*6. Solve 0 = -q*p - 2*p + y for p.
4
Suppose 4*p - 355 - 61 = 0. Suppose p*b - 94*b - 100 = 0. Solve -29*v + b = -31*v for v.
-5
Let h be 2 + 4 - (5 - 5). Let x(r) = 3 - h*r + r - r**2 + 4*r + 14. Let b be x(0). Solve 5*p - 3 - b = 0 for p.
4
Let s(v) = -v**3 + 24*v**2 - 48*v + 91. Let u be s(22). Solve -45 = u*q - 48 for q.
1
Let q(m) = -3*m**2 + 107*m - 506. Let j be q(30). Solve -2281 = -j*g - 2313 for g.
-8
Let a(u) = -5*u + 7. Let b be a(-6). Let p = -36 - -1. Let w = p + b. Solve -10 = -4*j + w for j.
3
Let r(d) = 1108*d - 65367. Let t be r(59). Let v = -1 - -1. Suppose -5*f + 4*f + 2 = v. Solve -f*s = -t*s + 15 for s.
5
Let t(k) = -28 + 7*k**2 - 19 - 17*k - 8*k**2. Let i be t(-13). Solve 2*u - 3 = i*u for u.
-1
Let h(w) = -w**3 + 3*w**2 - 6*w + 7. Let j be h(3). Let a = -30 - -50. Let m = a + j. Solve 0 = -m*b + 4*b + 20 for b.
4
Let g be 22/(-6)*(-12)/(-4). Let l(d) = -d**2 - 10*d + 20. Let u be l(g). Suppose -7*y + u = -4*y. Solve y*c + 0 = 12 for c.
4
Let c(l) = 2*l**3 + 22*l**2 - 24*l + 13. Let q be c(-12). Solve 0 = 51*z + q*z - 192 for z.
3
Let v = 7291 - 7285. Solve -v*j - 460 = -484 for j.
4
Let z be (18/(-3) + 6)*(-1)/(-2). Solve 0 = 32*b - z - 32 for b.
1
Let t be (6/2)/((-3)/20)*-1. Suppose -3*g + 4*s + t = 0, 0*g - 15 = 4*g + 3*s. Let c be g*(-5)/((-15)/(-1)). Solve -3*j - 2*j + 10 = c for j.
2
Let m(k) = -5*k - 80. Let l be m(-17). Suppose 0 = -3*s - l*n + 32, -n - 5 = -3*s + 3. Solve s = 34*j - 38*j for j.
-1
Suppose -3*u + 10*u = 6*u. Suppose 0 = s - 3 - 2, u = 3*a - 2*s + 10. Let j be -4 + (-639)/(-90) + (-2)/20. Solve a*b + j*b = 3 for b.
1
Let f(a) = a**2 - a - 1. Let g be f(3). Let b = 1 + g. Let z = 1103 - 1103. Solve 0 = -z*w - 3*w + b for w.
2
Suppose -408*j = -107*j - 41839. Solve -97 = -6*a - j for a.
-7
Let l = 10922 + -8417. Solve -2502*w = -l*w - 3 for w.
-1
Let m be (-1 + (-49)/(-7))/2. Let y = 5 - 2. Suppose 2*s - 44 = -3*s + 4*p, y*s = 5*p + 29. Solve s*z + 25 = m*z for z.
-5
Let j = 13 + -58. Let l = j - -82. Let r = 39 - l. Solve 0*c - r*c - 2 = 0 for c.
-1
Let b = 630 - 630. Let g(y) = -y**3 - 2*y**2 - 16*y - 31. Let i be g(-2). Let z = -1 - -1. Solve z*x + x - i = b for x.
1
Let x(m) = -m**2 - 2*m + 10. Let h be x(0). Let d be (4/h)/((-22)/(-440)). Let i be (1/(-3))/(2/(-12)) - -1. Solve -i*z + 7 + d = 0 for z.
5
Let y = 255 - 255. Solve y = -2*d + 6*d for d.
0
Suppose -1029 = 11*x - 29*x - 831. Solve -115*j + 126*j + x = 0 for j.
-1
Let u(n) = 2*n**3 - 19*n**2 - 14*n + 3. Suppose -5*s - 30 = -2*x, -6*x + 5*x + 8 = s. Let w be u(x). Let v = w + 37. Solve 3*h - 12 = -v*h for h.
4
Let f = -41 - -45. Let a be f/22 - (-4 + 322/77). Solve a = 2*t - 6*t + 16 for t.
4
Let n(q) be the third derivative of 5*q**4/3 - 6*q**3 + 19*q**2 + 2*q. Let c be n(1). Solve c*w = 6*w - 8 for w.
4
Suppose 13*l + 73 = 47. Let j be (33/22)/(l/(-4)). Solve j*c + 0*c = 15 for c.
5
Let s(x) = -x**3 + 16*x**2 + 18*x - 17. Let p be s(17). Suppose 2 = 4*j - t + 12, 4*j - 2*t + 8 = p. Let b be ((-63)/42)/(j*(-1)/(-20)).
|
{
"pile_set_name": "DM Mathematics"
}
|
-2
Rearrange (0*n + 2*n - 4*n)*(2*n + 0*n - 3*n)*(-10*n + 20*n + 17*n) to l + k*n + u*n**2 + s*n**3 and give s.
54
Rearrange 4*j**3 - 2*j + 5*j**2 - 4*j**2 - 3*j**3 + 3*j to the form b + a*j**2 + o*j**3 + h*j and give a.
1
Express -9*p**2 + p**3 - 5*p**2 + 20*p**2 as f*p**3 + j*p**2 + z + n*p and give j.
6
Express (-1 + 1 - 2)*(2*a - 4 + 4)*(-2*a**2 + 5*a**2 + 4*a**2) in the form o + h*a**2 + s*a**3 + d*a and give s.
-28
Express 1 - 2*q**2 + 0 - 4*q**3 + 0 in the form u*q**2 + k*q + c*q**3 + t and give c.
-4
Express -6 + 6 - 33*c**2 + 9*c**2 as d + a*c**2 + i*c and give a.
-24
Express (r**2 - 2*r**2 + 3*r**2)*(-201 + 201 + 11*r**2) + (r**3 + r**3 - 4*r**3)*(0*r - r - r) in the form c*r**4 + w*r**3 + m*r + q*r**2 + a and give c.
26
Rearrange 2*q**2 - 2 - q**2 - q**2 + q - 5*q**4 to the form k*q**2 + s*q**4 + i*q + l*q**3 + a and give s.
-5
Rearrange -h**2 + 5*h**2 + h**2 + (1 + 2 - 4)*(2*h**2 - 4*h**2 + 0*h**2) + h**2 - 2*h**2 + 5*h**2 to the form q*h**2 + t + o*h and give q.
11
Express (3*j**2 - 2*j + 2*j)*(5*j + 2*j + j) in the form c + v*j**3 + z*j + w*j**2 and give v.
24
Rearrange -s**2 + 4*s**2 - 15*s**2 to the form y*s + j*s**2 + q and give j.
-12
Rearrange (-2*f**2 - 3*f**2 + 6*f**2 + (-f + 0*f - f)*(22 - 22 + 5*f))*(-3*f - 4*f + 0*f) to the form x*f + k*f**2 + c*f**3 + d and give c.
63
Express -2 + 72*b + 5*b + 17*b in the form p*b + n and give n.
-2
Express -14*n**2 + 24*n**2 - 16*n**2 + (3*n - 2*n - 2*n)*(0*n + n + n) as h*n + v*n**2 + j and give v.
-8
Rearrange (10*z**2 + 2*z**2 - 3*z**2)*(1 + 1 + 2)*(-4 - 3 + 5) to the form o + k*z**2 + c*z and give k.
-72
Rearrange -4*l**2 + 3*l**3 + 6*l**2 + l**2 to s + h*l + f*l**3 + u*l**2 and give u.
3
Rearrange -1 + 0*p**2 - 20*p**3 + 4*p**4 + 0*p**2 + 21*p**3 - p to i + g*p**4 + o*p + m*p**2 + t*p**3 and give i.
-1
Express 11 - 6 - 152*c - 4 + 35*c in the form t + u*c and give t.
1
Rearrange -x - 5*x**2 + 2*x**2 + 2*x**2 + 0*x - 3 to the form m*x**2 + p + u*x and give m.
-1
Express (-2*h**2 + 0*h**2 - h**2)*((-2 + 1 - 1)*(-2 + 2 + 2) - 17 - 3 + 0) as y + u*h**2 + b*h and give u.
72
Express -2*r**4 - 5*r**3 - r**2 + 2*r**2 - 16*r - 1 + 19*r in the form d*r**2 + p*r + h*r**3 + t + b*r**4 and give d.
1
Rearrange r**3 + 9 + 2*r + 6 + 9 - 2*r**4 - 22 to x*r**3 + u*r + n + q*r**2 + m*r**4 and give n.
2
Express g + 3 - 3*g - 3*g**4 + g**3 - g in the form u*g**4 + a + v*g**3 + x*g**2 + q*g and give q.
-3
Express 10 - 42*x - x**2 + 38*x - 9 - 4*x**3 as n*x**3 + y + v*x + o*x**2 and give n.
-4
Express 8*z + 4 + 3*z - 4 as o*z + q and give o.
11
Rearrange 4*n + 23*n**2 - 4*n - 4*n**2 to t*n + v*n**2 + p and give v.
19
Rearrange (-2*h**2 - 3 + 3)*(4*h - 3*h - 2*h) + 2*h**3 - 221*h + 2 + 2*h**2 + 221*h to the form d*h**3 + g + x*h + v*h**2 and give g.
2
Express -3*t**3 - 2*t + t**2 + 2*t**4 - 3*t**2 + 0*t**3 as y*t + v + w*t**4 + r*t**3 + f*t**2 and give w.
2
Rearrange 4*p**4 - 3 + 7*p - 2*p**3 - 7*p to y*p**4 + v*p**2 + m + b*p**3 + d*p and give m.
-3
Express m**4 + 2*m**4 + 2*m**4 + (5*m**2 - 5*m**2 - m**3)*(0*m + 0*m - m) in the form u*m + w*m**3 + x*m**4 + i*m**2 + o and give x.
6
Express m**2 - 9*m**2 - m**2 + 11*m**2 + 23*m as g + y*m**2 + k*m and give y.
2
Rearrange (-4*s + 3*s - 6 + 5)*(-74 + 74 + 3*s**2) to the form t*s**2 + x*s + w*s**3 + k and give w.
-3
Express (10*k**2 - 7*k**2 + 5*k**2)*(0*k + 0*k + k) as d*k**3 + x*k + o*k**2 + c and give d.
8
Express -30*w + 30*w + 2*w**3 + 58*w**2 as o*w**3 + r*w**2 + t*w + s and give o.
2
Express (-2 + 1 + 3)*(-5*b + 3*b + 4*b) - b + b - 2*b + (-3*b + b + 4*b)*(-2 + 2 + 2) + 6*b - 4*b + 9*b + 4*b + 3*b - 6*b in the form f + j*b and give f.
0
Rearrange (-u + 9 - 9)*(-1 + 1 - 3*u**3) + 0 + 2 - u**4 - 1 to v*u**4 + z*u**3 + b*u**2 + j + m*u and give v.
2
Express 2*i**3 + 2*i**2 - 9*i**3 - 98 + 99 as s + x*i**2 + p*i**3 + k*i and give s.
1
Rearrange (66*k - 3 - 5*k + 4)*(5*k**2 - 4*k**2 - 2*k**2) to the form c*k**3 + y*k**2 + t + r*k and give y.
-1
Rearrange 4*t - 4*t - 4*t**2 + t**2 + t**2 - t**2 + (-t**2 + 0*t**2 + 0*t**2)*(-1 + 2 - 2) to the form q + g*t**2 + d*t and give g.
-2
Rearrange (-4*p**2 + 2*p**2 + 4*p - 2*p)*(10*p - 10*p + 8*p) to x*p + o*p**2 + k + w*p**3 and give o.
16
Express (-p + 4*p - p)*(-30 + 43*p**2 + 30) as q*p**2 + w*p**3 + z*p + u and give w.
86
Rearrange 0*w**2 + 2*w**2 + 38*w + w**2 - w**2 to the form h*w + t + y*w**2 and give h.
38
Express -5 + 3*k - k - 1 + (-1 - 3 + 8)*(-1 + 1 - k) as p + r*k and give r.
-2
Express -5*y**2 + 30*y**2 + 3*y**2 as g + t*y + c*y**2 and give c.
28
Express 34*k**2 + 6*k**4 - 2*k**3 - 36*k**2 + 0*k**3 in the form n*k + i*k**2 + q + p*k**4 + s*k**3 and give i.
-2
Rearrange 2*q - 579 + 8*q + 579 to a*q + k and give a.
10
Express h**4 + h**3 - 2*h**2 + 2*h**2 + (18*h**4 - 51*h**2 + 51*h**2)*(5 - 2 - 1) in the form x + a*h**3 + b*h + v*h**4 + j*h**2 and give v.
37
Rearrange (2*g - 4*g + 0*g)*(g + g - 3*g) - 7*g**2 + 2*g**2 + 2*g**2 + (-3*g - 6*g + 7*g)*(-2*g - 3*g + 3*g) to the form d + o*g**2 + a*g and give o.
3
Express (-w**2 + 0*w**2 + 3*w**2 - 5*w**2 - 4*w**2 - 4*w**2 + (-4*w + w + w)*(0 + 0 + 2*w))*(2*w + w - 2*w) as b*w + m*w**2 + g*w**3 + i and give g.
-15
Rearrange -157*i**2 + 114*i**2 + 97*i**2 to the form n + l*i + a*i**2 and give l.
0
Express (0 - 2*v + 0)*(-1 + 0 - 4)*(-15 + 15 + 5*v) as h + b*v**2 + u*v and give b.
50
Rearrange 53*d**3 + d**2 - 2*d + 2*d + 7 - 54*d**3 to the form l*d + g*d**3 + j + m*d**2 and give g.
-1
Express 16*n**3 - 15*n**3 - 3*n**4 - 2 + n**2 + 0 + 0*n**2 as t*n**3 + u*n + p*n**2 + a*n**4 + s and give s.
-2
Express 16*s - 31*s - 3 + 8 + 14*s as j*s + n and give j.
-1
Express -22*u**3 + 9*u**3 + 7*u**3 - 20 + 4*u**3 in the form d + t*u + n*u**3 + o*u**2 and give d.
-20
Express 3 + 24*t - 24*t - 9 + 2*t**3 - t**2 as o*t + l*t**3 + y + s*t**2 and give s.
-1
Express -22*v**3 + 30 + 24*v**3 + 2*v**2 - 2 as k + b*v**2 + g*v**3 + c*v and give g.
2
Express 16 + 14 - 8*m + m**3 - m**2 - 28 + 3*m**2 in the form h*m + f*m**2 + r + w*m**3 and give r.
2
Express -4*h - 4*h + h - 8*h as c + u*h and give u.
-15
Rearrange -10 + 17 - 6 - 38*w + w + 0 + 0 + (2 + 2 - 2)*(-2*w - w + 4*w) to the form s + c*w and give c.
-35
Rearrange -3*v + 2*v**2 - 453 + 454 + 0*v**3 + 0*v**3 + 3*v**4 to the form l*v**2 + j*v + u + n*v**4 + i*v**3 and give n.
3
Rearrange -24*t + 0 - 36*t + 0 to x*t + g and give x.
-60
Express 0*q - 9*q**3 - q - 2*q**2 + 4*q**3 in the form f*q**2 + i*q**3 + o*q + l and give i.
-5
Rearrange (150*c**2 - 49*c**2 + 5*c**2 - 2*c - 3*c**3)*(c - 3 + 3) to m*c**3 + x*c + d*c**4 + l + j*c**2 and give m.
106
Rearrange (611*t - 2 + 0 - 566*t)*(-t - t - t) to the form g + m*t**2 + s*t and give m.
-135
Express 10 + 3*u + 14 - 22 - 4*u as t + q*u and give t.
2
Rearrange (2*z - 3 + 3)*(-14*z + 14*z + 9*z + 2 + (-1 + 1 + 2*z)*(-1 + 0 + 2)) to the form i + n*z**2 + b*z and give n.
22
Rearrange 2*g**3 + 30*g**3 + 29*g**3 + g**2 + 42*g**3 to the form a*g**2 + f*g + m + n*g**3 and give m.
0
Express -2 - 2 + 4 - 45*i as a + b*i and give b.
-45
Express -n**4 + 12*n**2 - 20*n**2 + n + 2*n + 2*n**4 in the form z + t*n**2 + o*n**4 + y*n**3 + q*n and give y.
0
Rearrange -w**3 + 171*w**2 - 15 - 171*w**2 to o*w**3 + g*w**2 + p*w + m and give o.
-1
Express s - 6*s**2 + 19*s**2 - 4*s**2 - 11*s**2 + 8*s**3 in the form k*s + z*s**2 + n*s**3 + g and give n.
8
Rearrange -6*p**2 - 12*p**2 + 5*p**2 to the form k + n*p**2 + j*p and give n.
-13
Express -3*p**2 + 2*p**2 + 0*p**2 + (-2 + 1 + 3)*(-3 + 3 + 2*p**2) - 33*p**2 + 70 - 70 in the form y*p**2 + j*p + o and give y.
-30
Express (0 + 0 - 1)*(-4*o + 4*o + 2*o) - 2 + 2 - o - 2*o + 11*o - 2*o + 0 + 0 - 2*o + (-3*o + o + 0*o)*(1 + 0 + 1) in the form l*o + n and give l.
-2
Rearrange -32*y**2 + y - 349 + 2*y**3 + 349 to the form w + a*y + r*y**3 + c*y**2 and give a.
1
Rearrange 0*q**3 - 4*q**3 + 3*q**3 + (14*q - 3*q + q)*(-2*q**2 + q - q) to the form l*q**2 + g*q + k*q**3 + c and give k.
-25
Rearrange (o**2 - 2*o**2 + 5*o**2)*(2 - 9*o + 4 + 10*o) to the form j*o + c*o**3 + t*o**2 + y and give t.
24
Express 3*b**4 + 34 - 3*b**3 - 16 - 17 - b**2 - 4*b**4 as l*b**2 + h + j*b**4 + s*b**3 + c*b and give h.
1
Express -4*w**3 + 7*w**3 - 2*w - 6*w**3 + 2*w**2 in the form l*w**3 + a*w**2 + g + v*w and give v.
-2
Express y**3 + 15*y**2 - 36*y**2 + 13 + 4*y - 3*y + 22*y*
|
{
"pile_set_name": "DM Mathematics"
}
|
0 + 0*u**3 + 0*u. Find v, given that o(v) = 0.
-2, -1, -1/3, 0
Suppose -10 = -5*r - 0. Suppose r*g - 2 = 8. Factor -5*v + 22*v**g - 45*v**3 + 28*v**2 + 27*v**5 + v - 28*v**4.
v*(v - 1)*(v + 1)*(7*v - 2)**2
Let k = -77/65 + 18/13. Let n be (1/3 - -1)/((-2)/(-3)). Factor 1/5*p**3 + 0 + 0*p**n - k*p.
p*(p - 1)*(p + 1)/5
Let y = -13423/9 - -1493. Factor y*o**3 + 0 - 4/9*o**2 + 0*o.
2*o**2*(7*o - 2)/9
Factor 8/3*o**3 - 4/3*o + 0 - 2*o**4 + 2/3*o**2.
-2*o*(o - 1)**2*(3*o + 2)/3
Let l = 297/4 - 73. Let z(g) be the first derivative of -l*g**4 - 8/3*g**3 + 2*g - 3 - 1/2*g**2. Suppose z(n) = 0. Calculate n.
-1, 2/5
Let y(p) be the second derivative of p**6/40 - 27*p**5/80 + 25*p**4/16 - 27*p**3/8 + 15*p**2/4 - 2*p - 4. Factor y(a).
3*(a - 5)*(a - 2)*(a - 1)**2/4
Suppose -4*r = -8*r + 8. Factor -24 - 8*p**r + 3*p**3 + 2*p - 10*p**2 + 34*p.
3*(p - 2)**3
Let b(a) be the first derivative of -7*a**4/16 - a**3 - 3*a**2/8 + a/2 - 2. Determine l so that b(l) = 0.
-1, 2/7
Let y(b) = b**4 - b**3 + 1. Let j(p) = 2*p**4 + 4*p**3 - 17*p**2 + 17*p - 3. Let h(d) = -2*j(d) + 6*y(d). Factor h(k).
2*(k - 3)*(k - 2)*(k - 1)**2
Let y(r) be the third derivative of -16/9*r**3 - 8/45*r**6 + 0*r - 16/9*r**4 + 0 - 4/5*r**5 + r**2 - 1/63*r**7. Factor y(o).
-2*(o + 2)**3*(5*o + 2)/3
Let y(z) be the first derivative of -2*z**5/5 + z**4/2 + 6*z**3 + 11*z**2 + 8*z + 4. Solve y(n) = 0.
-1, 4
Let k(j) be the second derivative of -1/6*j**3 - j + 1/30*j**6 + 1/10*j**5 - 1/6*j**4 + 0 - 1/42*j**7 + 1/2*j**2. Factor k(g).
-(g - 1)**3*(g + 1)**2
Let b(i) = 4*i**3 + 3*i**2 + 2*i. Let u(n) = 11*n**3 + 8*n**2 + 5*n. Let l(m) = 8*b(m) - 3*u(m). Factor l(q).
-q*(q - 1)*(q + 1)
Suppose 2*c = 3*s - 18 + 2, 0 = -3*c + 3*s - 18. Let l = -2 - c. Factor 2/3*u**2 + l*u + 2/3*u**4 - 4/3*u**3 + 0.
2*u**2*(u - 1)**2/3
Let i(d) be the second derivative of -1/12*d**4 - 2*d + 0*d**2 + 2/21*d**7 + 7/30*d**6 + 0 + 1/10*d**5 + 0*d**3. Factor i(m).
m**2*(m + 1)**2*(4*m - 1)
Let t(q) be the first derivative of -2*q**5/75 + q**4/30 + 2*q**3/15 - q**2/3 + 4*q/15 + 19. Suppose t(k) = 0. What is k?
-2, 1
Factor 2/3*k**3 + 8*k + 4*k**2 + 16/3.
2*(k + 2)**3/3
Suppose x = 0, 4*o + 3*x - 10 = -2. Let f(a) be the third derivative of 0 - 1/150*a**5 + 0*a + 0*a**4 + 0*a**3 - 1/600*a**6 + a**o + 1/1050*a**7. Factor f(y).
y**2*(y - 2)*(y + 1)/5
Let y(d) = 2*d**3 + 5*d**2 + 8*d - 13. Let u(m) = m**3 + 3*m**2 + 4*m - 6. Let j(a) = 7*u(a) - 3*y(a). Let x be j(-5). What is s in 0 + 2/7*s**x + 0*s = 0?
0
Let k = -9 - -4. Let u(z) = -z**3 - 5*z**2 + 2. Let c be u(k). Find l, given that 0*l**2 - 2*l + 4*l + 5*l**c - 3*l**2 = 0.
-1, 0
Suppose -12*l**4 - 94*l**3 + 49*l**3 + 5*l**2 + 67*l**2 - 15*l = 0. What is l?
-5, 0, 1/4, 1
Let g(i) be the second derivative of 0*i**2 + i - 1/24*i**4 - 1/720*i**6 - 1/6*i**3 + 0 + 1/80*i**5. Let x(j) be the second derivative of g(j). Factor x(s).
-(s - 2)*(s - 1)/2
Let c(s) = 2*s**2 + 8*s - 12. Let m(p) = 4*p**2 + 15*p - 24. Let b(r) = -10*c(r) + 4*m(r). Determine q, given that b(q) = 0.
-6, 1
Determine h, given that -8/9*h**4 - 8/9*h**2 + 0 - 2/9*h**5 - 4/3*h**3 - 2/9*h = 0.
-1, 0
Factor -10*h + 4*h**2 - 3*h**2 + 0*h**2 + 1 + 8*h.
(h - 1)**2
Let n be 0/(-1) - (6 + -6)/2. Let 0*j + 1/7*j**5 + 1/7*j**2 - 1/7*j**4 + n - 1/7*j**3 = 0. Calculate j.
-1, 0, 1
Let t(j) = -j**2 + 4*j - 1. Let m be t(3). Determine v so that m - 3 + v**2 - v**2 + v**2 = 0.
-1, 1
Let v(d) = -d - 1. Let z(t) = t**2 - 2. Let u(j) = -2*v(j) + z(j). Factor u(h).
h*(h + 2)
Let r(d) = 2*d - 1. Let x be r(1). Let z(f) = -3*f**3 + 3*f**2 + f - 1. Let g(v) = -v**3 - v**2 + v - 1. Let p(c) = x*g(c) - z(c). Factor p(o).
2*o**2*(o - 2)
Let d(o) be the third derivative of -o**6/960 - o**5/480 + o**4/96 - 24*o**2. Find k such that d(k) = 0.
-2, 0, 1
Let s(w) be the third derivative of 1/210*w**5 + 0*w + 0 + 4*w**2 - 1/21*w**3 + 0*w**4. Let s(k) = 0. What is k?
-1, 1
Suppose 9*w**2 + 5*w - 4*w - 15*w**3 + 5*w = 0. Calculate w.
-2/5, 0, 1
Let p(l) be the third derivative of -1/80*l**5 + 0*l + 1/32*l**4 + 0 + 4*l**2 + 1/480*l**6 - 1/24*l**3. Find m, given that p(m) = 0.
1
Let z(t) be the second derivative of t**5/20 - t**4/3 + 5*t**3/6 - t**2 + 2*t. Factor z(l).
(l - 2)*(l - 1)**2
Let j = -911/4 - -228. Factor 1/4*a - j*a**4 + 1/4*a**5 - 1/2*a**3 + 1/2*a**2 - 1/4.
(a - 1)**3*(a + 1)**2/4
Let i(d) be the third derivative of d**7/840 + d**6/480 - d**5/80 - d**4/96 + d**3/12 + 26*d**2. Find r, given that i(r) = 0.
-2, -1, 1
Let l(b) be the third derivative of 2/27*b**3 + 0 - 1/270*b**5 + 1/108*b**4 - 5*b**2 + 0*b. Suppose l(g) = 0. What is g?
-1, 2
Let y(l) be the second derivative of l**5/10 + l**4/2 + l**3 + l**2 - 11*l. Factor y(o).
2*(o + 1)**3
Suppose -12*v + 12 = -8*v. Factor 2 + 2*w**3 - 6*w**v + 4*w**2 + 6*w**4 - 12*w**4 + 6*w - 2*w**5.
-2*(w - 1)*(w + 1)**4
Suppose 0 = -2*l + 8 - 2. Let g(v) be the third derivative of -1/24*v**4 + 2*v**2 + 0*v + 0*v**l + 0 + 1/60*v**5. Solve g(a) = 0.
0, 1
Let g = -509/7 - -73. Factor -2/7*v**3 + g - 2/7*v**2 + 2/7*v.
-2*(v - 1)*(v + 1)**2/7
Let z(q) be the third derivative of -1/10*q**6 + 2/105*q**7 + 0*q + 0*q**3 - 9*q**2 + 0*q**5 + 2/3*q**4 + 0. Factor z(n).
4*n*(n - 2)**2*(n + 1)
Let a(b) be the second derivative of -b**4/60 + 8*b**3/15 - 32*b**2/5 - b. Factor a(p).
-(p - 8)**2/5
Let y = 9 - 7. Let 2*w**5 + 7*w**4 + 2*w**2 - 3*w**4 - y*w**2 + 2*w**3 = 0. What is w?
-1, 0
Let n(x) be the third derivative of -x**7/1260 + x**6/240 - x**5/360 - x**4/48 + x**3/18 + 9*x**2. Factor n(j).
-(j - 2)*(j - 1)**2*(j + 1)/6
Let f = 12 + -9. Suppose -10 = f*i - 8*i. Find d such that 6/7*d**i + 2/7*d**3 + 0 + 4/7*d = 0.
-2, -1, 0
Solve 0*t**5 + 2*t**2 - 9*t**4 + 7*t**5 + 3*t**3 - 3*t**4 = 0.
-2/7, 0, 1
Let b be -2*(-1 + 2 + -2). Determine w, given that -1 - 14*w - 4 + 6*w**b - 16*w**2 + 1 = 0.
-1, -2/5
Find s such that -1/3*s**3 + 1/3 - 1/3*s**2 + 1/3*s = 0.
-1, 1
Let j(g) = -g**2 - 2*g - 7. Let p(m) = -m**2 - 3*m - 8. Let d(y) = 6*j(y) - 5*p(y). Factor d(t).
-(t - 2)*(t - 1)
Let f be 2 + -1 - 2/(-2). Let c be (-46)/69*(0 + -1 + 0). Find s such that 0*s + c - 2/3*s**f = 0.
-1, 1
Let d = -120 - -1082/9. Find v such that 0*v - d*v**3 - 2/9*v**5 + 4/9*v**4 + 0*v**2 + 0 = 0.
0, 1
Let i(f) = -f**3 + 6*f**2 + 2*f - 9. Let k be i(6). Factor 3 - b**3 - 3 + 0*b**k.
-b**3
Let f be 8/(-4) + 12/2. Let u(l) be the first derivative of 3 + 0*l**2 - 2/35*l**5 + 0*l**f + 0*l**3 + 0*l. Factor u(s).
-2*s**4/7
Let k(o) be the first derivative of o**5/45 - o**4/18 + o**3/27 + 1. Factor k(h).
h**2*(h - 1)**2/9
Suppose 188*a = 178*a. Suppose a - 4/11*f**2 + 6/11*f**3 - 2/11*f**4 + 0*f = 0. Calculate f.
0, 1, 2
Factor 4/5*d**2 - 2/5*d + 2/5*d**3 - 4/5.
2*(d - 1)*(d + 1)*(d + 2)/5
Factor -16*l - 4*l**2 + 5*l**3 + 6*l - l**2.
5*l*(l - 2)*(l + 1)
Let b be (0 - 2)/1 + (-646)/(-285). Let 2/15*f - 2/15*f**3 - b*f**2 + 4/15 = 0. What is f?
-2, -1, 1
Let y(d) = -d**2 - 6*d. Suppose s - 5*s = -20. Let a(t) = t**2 + 9*t. Let q(z) = s*a(z) + 8*y(z). Determine o so that q(o) = 0.
-1, 0
Let r = -367/3 - -123. Find b such that -10/3*b**3 + 2*b**4 + 0 + r*b**2 + 2/3*b = 0.
-1/3, 0, 1
Let q(z) be the third derivative of z**5/240 + z**4/16 + 3*z**3/8 - 30*z**2. Factor q(w).
(w + 3)**2/4
Let q(g) be the second derivative of -3*g**5/20 - g**4/4 - 4*g. Solve q(m) = 0 for m.
-1, 0
Let u be (2/(-3))/((-5)/(-15)). Let c be 2/8 - (-2 - u). Solve 1/4*y**2 + c + 1/2*y = 0 for y.
-1
Suppose 4*d = -0*d + 16. Let x = 26 + -26. Factor 2 + x*s**4 - d*s + 0*s**4 - 2*s**4 + 4*s**3.
-2*(s - 1)**3*(s + 1)
Determine c so that -26*c - 1 + 34*c - 4*c**2 + 1 = 0.
0, 2
Let h(p) be the second derivative of 8*p**4/3 + 2*p**3/3 + p. Factor h(t).
4*t*(8*t + 1)
Suppose 2*w = 5*x + 106, 0*w - 5*w = -5*x - 115. Let r be (x/(-8) - -2) + -3. Find c such that 0 - r*c**4 + 0*c - 9/4*c**5 + 0*c**2 - 1/4*c**3 = 0.
-1/3, 0
Let -5/3*r + 4*r**4 + 35/3*r**3 + 20/3*r**2 - 2/3 = 0. What is r?
-2, -1, -1/4, 1/3
Suppose -5*r + 45 = 5*x, -5*x - 2*r = -27 - 3. Factor 4*v**3 - 2*v**5 - 20*v + 24*v**2 + 34*v - 8*v**2 + 4 - 4*v**x.
-2*(v - 2)*(v + 1)**4
Suppose 2 = 4*s - 3*s. Suppose -3*x**2 + 0 + 5*x**s + 0*x**4 - 1 - x**4 = 0. What is x?
-1, 1
Let d(l) be the first derivative of -2 - 24*l**3 + 0*l - 135/4*l**4 - 6*l**2 - 15*l**5. Solve d(t) = 0 for t.
-1, -2/5, 0
Suppose 9*m = 10*m. Let 6/7*l**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
39172
Simplify (-2*sqrt(51)*2*1)/((sqrt(144)/sqrt(4))/sqrt(12) - (sqrt(96)/sqrt(2) + sqrt(48) - sqrt(3))).
2*sqrt(17)/3
Simplify ((sqrt(605) - (sqrt(605) + 2)) + sqrt(605) - sqrt(25)/sqrt(5)*5) + (sqrt(125)*1*-5)**2 + 3.
6*sqrt(5) + 3126
Simplify (-4*sqrt(135) - -1*sqrt(15)*2)/(sqrt(36)/sqrt(48) + -2*sqrt(12)).
20*sqrt(5)/7
Simplify (sqrt(1700) + 4 + -1*sqrt(1700))**2 + (-5*(2 + sqrt(1700)))**2 + -5 + 1.
1000*sqrt(17) + 42612
Simplify ((sqrt(68) + -1*sqrt(68))*1 + sqrt(68))/sqrt(400).
sqrt(17)/10
Simplify (0 + -5*(-1 + sqrt(19))*-5 + (-2*sqrt(19) + sqrt(19))*1 + -5)*2.
-60 + 48*sqrt(19)
Simplify (-1 + 3 + -3*sqrt(76)/sqrt(4) + sqrt(171) + 1)*-4.
-12
Simplify (4*(sqrt(192) - (sqrt(192) + sqrt(192) + 0)))**2 + 0 + ((sqrt(90) + sqrt(90) + sqrt(90) + (sqrt(90) + sqrt(90)*1 - sqrt(90)))/sqrt(6))/sqrt(5)*-5.
-20*sqrt(3) + 3072
Simplify -6*(5 + 3*(1 + sqrt(468) - sqrt(468)) + (sqrt(468) - (-3 + (sqrt(468) - (sqrt(468) + -2)))))**2.
-3294 - 648*sqrt(13)
Simplify 1*((sqrt(171) + -1 + 4 + sqrt(171))*6)**2.
1296*sqrt(19) + 24948
Simplify 5*((-6*(sqrt(128)*1 - sqrt(128)))**2 + sqrt(128)) - (-2 + (sqrt(128) - (sqrt(128) + -2)**2) + (-2*(sqrt(128) - (1 + sqrt(128)) - sqrt(128)))**2).
-382 - 64*sqrt(2)
Simplify ((1 + 5 + sqrt(1100) + -1 + -1)*-4)**2.
1280*sqrt(11) + 17856
Simplify 2 + (-5*sqrt(68)*4 + -1)**2.
80*sqrt(17) + 27203
Simplify (1*sqrt(65)*-3)/sqrt(5) + sqrt(104)/(sqrt(32)/sqrt(4)) + 5.
-2*sqrt(13) + 5
Simplify 5*((sqrt(143) - sqrt(143)*-1 - sqrt(143))/sqrt(11) + 1 + sqrt(13) + -2)**2 + -1.
-20*sqrt(13) + 264
Simplify sqrt(1008) - ((sqrt(1008) + sqrt(1008)*-1)*-1 + sqrt(1008))**2 - (1 + sqrt(252) - sqrt(63)/(sqrt(9) + sqrt(18)/sqrt(2))).
-1009 + 13*sqrt(7)/2
Simplify (((-1*sqrt(60)/sqrt(3) - sqrt(20))*-3)**2 + 4)*-1.
-724
Simplify sqrt(187)/(-4*sqrt(11)*-2) - (-1*(sqrt(1377) + 0) - sqrt(1377)).
145*sqrt(17)/8
Simplify 4 + sqrt(3) + 2*sqrt(3)*-1 + -3 - (-5 + 5*(sqrt(24)/(sqrt(24)/sqrt(3)) + sqrt(3))).
-11*sqrt(3) + 6
Simplify (4*((sqrt(306)/(sqrt(6) + sqrt(96)) - sqrt(51)) + sqrt(51)))/((sqrt(3) - (sqrt(48) - sqrt(48)*-1)) + sqrt(27)*1).
-sqrt(17)/5
Simplify (5 + (sqrt(1053) + 5 - sqrt(1053)) + sqrt(1053))**2 + (-3*sqrt(1573)*5)**2.
180*sqrt(13) + 355078
Simplify -2 + (-6*(2 + sqrt(800)))**2.
2880*sqrt(2) + 28942
Simplify (((-4 + sqrt(3) - sqrt(3)) + 2 - sqrt(33)/(sqrt(11) - sqrt(396))) + -5)**2.
-14*sqrt(3)/5 + 1228/25
Simplify -1*((sqrt(75)*-1 - sqrt(75)) + 5 + sqrt(75)*-5 + -3)**2.
-3679 + 140*sqrt(3)
Simplify (sqrt(150) + -3*sqrt(150))/(sqrt(98) - sqrt(98)*-2).
-10*sqrt(3)/21
Simplify (4 + ((-3 + sqrt(243) + -1 + -2)*-5)**2)*-1.
-6979 + 2700*sqrt(3)
Simplify ((((-4*sqrt(156) + sqrt(156))*3)/sqrt(6))/(-6*-4*sqrt(242)))**2.
117/7744
Simplify 5*2*((sqrt(2) - sqrt(14)/(sqrt(7)*-1)) + sqrt(2) + -1 + sqrt(72) + -1 + 5)**2.
540*sqrt(2) + 1710
Simplify (2 + sqrt(78)/(-2*sqrt(864) + sqrt(864)))**2 - (sqrt(4719)*-2)/((sqrt(6)/sqrt(2) + sqrt(3) - sqrt(3))*6).
589/144 + 10*sqrt(13)/3
Simplify ((sqrt(238) + 6*(sqrt(238)*1 + sqrt(238)))/sqrt(7))/(sqrt(352)/sqrt(11) + sqrt(72)/sqrt(4)).
13*sqrt(17)/7
Simplify (-6*(-1*(sqrt(114) - (sqrt(114) - (sqrt(114) - (sqrt(114) - sqrt(114)*-2)))))/sqrt(6))**2*5.
13680
Simplify -5 + (-1*(-3*(sqrt(1216) - -2*sqrt(1216)) - (4 + 1 + sqrt(1216))))**2.
800*sqrt(19) + 121620
Simplify (-6*(sqrt(96)*-3 + sqrt(96)))/(((sqrt(648) - (sqrt(648) + (sqrt(648) - -1*sqrt(648)))) + sqrt(648) - sqrt(648))/sqrt(4)).
-8*sqrt(3)/3
Simplify -6*((sqrt(45) - sqrt(720)*-1)/sqrt(9))**2 + -1.
-751
Simplify 5 + sqrt(600)/(sqrt(48)*3 + sqrt(12) + sqrt(12))*4.
5*sqrt(2)/2 + 5
Simplify -4*((sqrt(405) - sqrt(405)*-1)*-6 + 5*sqrt(60)/sqrt(3))**2.
-192080
Simplify 2*(3 + -1*(-3 + 0 + sqrt(243) + 3)).
-18*sqrt(3) + 6
Simplify -4*(5 + sqrt(125) + (sqrt(125)*2)**2 + (sqrt(125)*-2)**2 + 5 + 2).
-4048 - 20*sqrt(5)
Simplify (0 + sqrt(80) + -3 - 6*(-1 + sqrt(80)) - ((-6*(sqrt(80) + -1 + sqrt(80)) - sqrt(80)) + sqrt(80) + (sqrt(80) + (sqrt(80) - sqrt(80)*1))*-5))**2.
-288*sqrt(5) + 11529
Simplify (-2*sqrt(72)*2)/(sqrt(9) - (sqrt(324) - (3*sqrt(324) - sqrt(324) - sqrt(324)))).
-8*sqrt(2)
Simplify (3*(sqrt(153) - -2*sqrt(153)))**2 + (1 + sqrt(1700))**2 + (sqrt(136)*2)/sqrt(8).
22*sqrt(17) + 14094
Simplify sqrt(224)/(-3*-3*sqrt(2)) + 5.
4*sqrt(7)/9 + 5
Simplify (sqrt(245)*2 + -1*sqrt(80) + (-1 + sqrt(405))*6)**2.
-768*sqrt(5) + 20516
Simplify 4 + (1*sqrt(117)*-1)/(sqrt(63)/(-1*sqrt(7))).
sqrt(13) + 4
Simplify 3 + (sqrt(931) + -1 + sqrt(931) + sqrt(931) + 0)**2 - ((sqrt(152) - (sqrt(152) + -1*sqrt(152)))*4)/(sqrt(72)/sqrt(81)).
-54*sqrt(19) + 8383
Simplify ((3 + sqrt(76) + -3)**2 + 6*(-1 + sqrt(19)*-3))*-4.
-280 + 72*sqrt(19)
Simplify (-1*sqrt(24))/((sqrt(10)/sqrt(5) + sqrt(2) + sqrt(2) - sqrt(2) - sqrt(2))*-3).
2*sqrt(3)/3
Simplify (3*(sqrt(66) - -2*sqrt(66)*-1))/(-5*sqrt(54) + sqrt(42)/(sqrt(7)*-1)) + -2.
-2 + 3*sqrt(11)/16
Simplify ((1 + sqrt(567) + 4)*2 + (sqrt(70) - (-1*sqrt(70)*-6 - sqrt(70) - sqrt(70) - sqrt(70)))/(sqrt(10) + sqrt(20)/sqrt(18)))**2.
330*sqrt(7) + 8023/4
Simplify ((4 + 3*sqrt(272) - (1 + sqrt(272)*3))*2)**2.
36
Simplify (-5*sqrt(187)*-2 + sqrt(187) + sqrt(187)*-2*-2)/(-1*sqrt(176) - (sqrt(33)*2)/sqrt(3)).
-5*sqrt(17)/2
Simplify -3 + ((sqrt(119) - (6*(sqrt(119) + (sqrt(119)*-2 + sqrt(119) - sqrt(119)) + sqrt(119)) - sqrt(119)))/(4*(sqrt(63) + sqrt(7))) + 0)*5.
-3 + 5*sqrt(17)/8
Simplify ((sqrt(2000)*-3)/((-1*sqrt(40))/sqrt(4)))**2 + 1.
1801
Simplify (sqrt(121)/(sqrt(77)/sqrt(7) + sqrt(11))*-3 - ((sqrt(264)*-3)/sqrt(6))/sqrt(4))**2.
99/4
Simplify (4*(sqrt(114) - (-6*3*sqrt(114) - sqrt(114))))/(1*sqrt(294)*6).
40*sqrt(19)/21
Simplify -3 + (sqrt(891) + -3 + sqrt(891))**2 - (1*-1*sqrt(99))/sqrt(9).
-107*sqrt(11) + 3570
Simplify -5*(sqrt(256) - (sqrt(256)*1 - sqrt(256))*-1)/(5*-1*sqrt(8)).
4*sqrt(2)
Simplify (sqrt(95)/(sqrt(80)*-5))**2 + 1*(-1*sqrt(209))/sqrt(11).
-sqrt(19) + 19/400
Simplify -3 + sqrt(1100) + -1 + 4 + (3*sqrt(1100)*-3 + sqrt(1100))**2.
10*sqrt(11) + 70400
Simplify ((-3 + sqrt(13) - sqrt(13)) + 4 - sqrt(13))*-6 - (sqrt(1573) + sqrt(1573) + -3 + -5 + sqrt(1573))**2.
-14227 + 534*sqrt(13)
Simplify ((sqrt(720) + -4 + sqrt(720) - sqrt(720))*6)**2 - sqrt(3200)/sqrt(10)*5.
-3496*sqrt(5) + 26496
Simplify -2*sqrt(539) - (sqrt(11) - (2*sqrt(110))/sqrt(10)) - (-2 + sqrt(99) + sqrt(99) + sqrt(110)/sqrt(160)).
-77*sqrt(11)/4 + 2
Simplify ((6*-2*sqrt(1331) + 0)*4*-4)**2.
49065984
Simplify (sqrt(2) + (sqrt(2) + sqrt(2)*-2 + 1)**2)*1 - (0 + sqrt(242) + -1)**2.
-240 + 21*sqrt(2)
Simplify (((sqrt(72) + -1*sqrt(72) - sqrt(72)) + sqrt(72))**2 + 3 - sqrt(72)) + (sqrt(352) + sqrt(352) + sqrt(352)*4)/sqrt(11).
3 + 18*sqrt(2)
Simplify (-4*1*sqrt(110)*-5)/(sqrt(120)/sqrt(3) + sqrt(1210)*-2).
-sqrt(11)
Simplify ((-2*sqrt(297)/(3*sqrt(9) + sqrt(9)))/((sqrt(110) - (sqrt(110) + sqrt(110) + -6*3*sqrt(110)))/sqrt(10)))**2.
3/1156
Simplify sqrt(416)/sqrt(2) + -2 - (sqrt(91) + 2*sqrt(91))/sqrt(7)*4.
-8*sqrt(13) - 2
Simplify (2*(sqrt(468) - (3 + -2*sqrt(468) - sqrt(468))))**2 + ((sqrt(91)*2)/sqrt(7) - sqrt(13) - (-1 + sqrt(637))).
-582*sqrt(13) + 29989
Simplify ((-5 + sqrt(36)/((sqrt(132)*2)/sqrt(11)) + 0)*-5)**2.
-125*sqrt(3) + 2575/4
Simplify -4*(2*(sqrt(35)/(2*sqrt(5)) + sqrt(35)/(sqrt(10)/sqrt(2))))**2.
-252
Simplify ((sqrt(117) + (sqrt(117) + 1 - sqrt(117)) + 1*sqrt(637))*6)**2 - (-1 + 1*sqrt(1872) + -3)**2.
816*sqrt(13) + 44948
Simplify (-2 + sqrt(162) + 3 + -5*(sqrt(98) + 3))**2.
728*sqrt(2) + 1548
Simplify (2 + ((-5 + 1 + sqrt(1216) - sqrt(1216)) + sqrt(1216)*2 + -1 - ((sqrt(1216) - (sqrt(1216)*-1 + -2 - sqrt(1216))) + 3 + 1 + sqrt(1216))))**2.
288*sqrt(19) + 4945
Simplify (sqrt(175)/sqrt(7)*5)/(sqrt(5)*-2*-6).
5*sqrt(5)/12
Simplify (((sqrt(33) + sqrt(297)/(sqrt(9) - sqrt(9)*2))*5)/((2*sqrt(9)*-1)/sqrt(3)))**2.
0
Simplify ((sqrt(425)*1*3)**2 - sqrt(425)) + (sqrt(17) - sqrt(51)/sqrt(3))*6 + 3.
-5*sqrt(17) + 3828
Simplify (-5 + (1 + sqrt(432) + 1)**2 + -2*sqrt(432)*2)*-3 + -2.
-1295
Simplify (sqrt(1700)*3 + -5 + sqrt(1700) + 0 + -4)**2*-6*4.
-654744 + 17280*sqrt(17)
Simplify sqrt(228)/(sqrt(48)/sqrt(4)) + (-2*sqrt(190))/sqrt(10) + (sqrt(684) + 1 + sqrt(684) - sqrt(684))**2 + (-2*sqrt(19))**2*-6.
11*sqrt(19) + 229
Simplify sqrt(891) - ((sqrt(891) - 3*sqrt(891))**2*-2 + sqrt(891)) - (1 + (4*sqrt(396))**2 + sqrt(396)).
-6*sqrt(11) + 791
Simplify -5 + (-3*(sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
e
Is -88197 at least -88265?
True
Which is bigger: -3294 or 46/81?
46/81
Which is smaller: 3 or 41079/25045?
41079/25045
Which is bigger: 9 or -477646?
9
Are -511002 and 5/6 equal?
False
Which is smaller: 2489769 or 2489766?
2489766
Is -3672/21851 not equal to 0?
True
Is 125587 at least as big as 123265?
True
Is -5365.314 > -19?
False
Are 3/19701919 and 1 non-equal?
True
Is 14213520 greater than 14213520?
False
Are -360166 and -359607 unequal?
True
Is -54611323 less than or equal to -273056608/5?
True
Which is greater: -1/2 or -256.40072?
-1/2
Is -1 at least -97/4360130?
False
Is 13 at most 10609/747?
True
Is -20846218 at least -20846218?
True
Is 121953 greater than -102?
True
Which is greater: 81499 or 651997/8?
651997/8
Do 135 and 69043 have the same value?
False
Is -2/2887 >= 1265?
False
Which is bigger: 27919 or 62?
27919
Is 98469/9328 bigger than 10?
True
Which is greater: 107002604/3 or 35667536?
35667536
Is -3738144/109 < -34296?
False
Which is greater: -1228 or -11302?
-1228
Which is bigger: -138819 or -1388183/10?
-1388183/10
Do -2327 and -11578 have different values?
True
Which is bigger: 338 or 59/77?
338
Which is greater: -557382 or -557387?
-557382
Does -429733 = -351?
False
Which is bigger: -24/327745 or 1?
1
Which is greater: -16359/8089 or -3?
-16359/8089
Is -463246/3237 != -142?
True
Which is bigger: 94887/4 or 44/131?
94887/4
Is -82340084 bigger than -82340084?
False
Which is smaller: 13971794 or 13971795?
13971794
Which is bigger: -178885871 or 1?
1
Do 0 and -670/1038163 have the same value?
False
Is 1 smaller than -81/2641922?
False
Which is smaller: 1898394 or 1898393?
1898393
Is -8600.94 < -34.5?
True
Which is smaller: -6758/2735 or -2?
-6758/2735
Which is smaller: 132751264 or 0?
0
Which is smaller: 37825612 or 37825611?
37825611
Which is smaller: -88 or 399685/4?
-88
Is 0 at least as big as 378/772115?
False
Which is bigger: 2501102/213 or 11742?
2501102/213
Which is smaller: -66576/305 or -217?
-66576/305
Which is smaller: -43.9755 or 2/169?
-43.9755
Is -127648586 at least -127648585?
False
Which is smaller: 41270/1853 or 23?
41270/1853
Do 15162066 and 15162067 have the same value?
False
Which is smaller: -6329 or -7346?
-7346
Is -100448 < -100622?
False
Is -22220143 at most as big as 2/5?
True
Which is smaller: 1 or 5/5054436?
5/5054436
Which is smaller: 2351341/4 or -0.09?
-0.09
Which is smaller: -95594 or -63?
-95594
Which is greater: -6987 or -1369?
-1369
Is 7488 <= 5418?
False
Is 95079 greater than or equal to 61.1?
True
Is 14915958 less than 14915955?
False
Which is greater: -15829.472 or 2/7?
2/7
Is 88/5435879 bigger than -1?
True
Is 3262534 greater than or equal to 3262447?
True
Is 104541064 not equal to 2?
True
Is 9509832 <= 9509831?
False
Which is smaller: 33824748 or 33824746?
33824746
Which is smaller: 24 or 192914/7577?
24
Which is smaller: 11186933 or 11186934?
11186933
Which is smaller: 1 or 45/110871751?
45/110871751
Which is bigger: -50169849 or -50169850?
-50169849
Does -4594 = -8135?
False
Which is greater: 1 or 3876/127577?
1
Which is smaller: 3 or 266.622086?
3
Is 268661 greater than 268693?
False
Which is smaller: 1272/8107 or -9?
-9
Which is smaller: 9 or -648176?
-648176
Is -91 != -128831/1394?
True
Which is smaller: 837951 or -10?
-10
Which is smaller: 63482 or 63538?
63482
Is -37374240 > -224245439/6?
False
Are 1 and -8/457433 nonequal?
True
Which is bigger: -62115936 or -1?
-1
Which is smaller: -4056/7091 or -1?
-1
Is -99620392 bigger than -99620396?
True
Is -2286 at least as big as 12492?
False
Is -96178 smaller than -96207?
False
Is 19178.3 <= -37.4?
False
Is 5067408 smaller than 65876285/13?
False
Which is greater: 5518 or 8.9661?
5518
Which is bigger: 204/23 or -8.9?
204/23
Which is bigger: 0.52463 or 2033?
2033
Which is greater: -1059962/387 or -2739?
-1059962/387
Which is smaller: 2/3 or -44.1794828?
-44.1794828
Is 4208500 >= 4208500?
True
Is 970726/133 != 7298?
True
Is 26/9 bigger than -1448996?
True
Which is smaller: 8350443 or 8350441?
8350441
Which is smaller: -17813 or -17239?
-17813
Is 2511870 <= -14?
False
Do -1 and 1/18014765 have the same value?
False
Is -1923/78799 smaller than 3?
True
Which is bigger: 3/40058974 or 0?
3/40058974
Which is smaller: 12073/2167 or 7?
12073/2167
Is 0 not equal to 1/3280574?
True
Do -58669 and -58630 have different values?
True
Is -1 at least -6059/53596?
False
Which is smaller: 1799 or -2314?
-2314
Does 16450 = 5082874/309?
False
Which is smaller: -91124 or -91412?
-91412
Which is bigger: 4693056 or 4693057?
4693057
Is -66 < 202/4201?
True
Is 34/15034185 >= 0?
True
Is 1598 at most -16254?
False
Is -422/130587 not equal to 0?
True
Which is smaller: 316099179 or 316099180?
316099179
Is 3175471 != 3175523?
True
Is 162 less than or equal to 45755?
True
Which is smaller: 176909841 or 176909837?
176909837
Is 260340547/14 bigger than 18595753?
True
Which is greater: 1 or 3129/51143?
1
Is 739 less than 489774?
True
Is 682694 >= 683387?
False
Is -47/20535798 bigger than 1?
False
Which is greater: 121605/12124 or 10?
121605/12124
Which is bigger: 1/326141 or -0.8?
1/326141
Which is smaller: -0.017 or 801732?
-0.017
Is 104.72 at least as big as 877?
False
Is -1 <= 1062/16007?
True
Which is greater: 3909 or -38/29?
3909
Which is smaller: -570549 or -2852747/5?
-2852747/5
Is -3530 at least as big as -4?
False
Which is smaller: -2/13513645 or 0?
-2/13513645
Is -6123 at most -6865?
False
Which is smaller: -7757742 or -7757740?
-7757742
Are 592107 and 10657931/18 equal?
False
Which is smaller: 0 or 5/441774?
0
Which is smaller: -203719 or -201375?
-203719
Is -115679702 greater than or equal to -115679701?
False
Is -36 less than 94788?
True
Is 17/289670 != 0?
True
Which is smaller: -883247 or -15015211/17?
-15015211/17
Is 0 less than -5/1075307?
False
Which is bigger: 60878453 or 304392266/5?
304392266/5
Is 19305 less than 794?
False
Is -3/2174254 at least 0?
False
Which is smaller: -1/3149 or 25.07?
-1/3149
Which is smaller: 2508488 or 2508478?
2508478
Which is bigger: -18 or -7531/411?
-18
Is 3957231967 less than or equal to 3957231967?
True
Which is bigger: -1015 or -277013/273?
-277013/273
Do 16 and 23872/1429 have different values?
True
Which is smaller: -447327 or -447339?
-447339
Do 4112902 and 4112727 have the same value?
False
Which is bigger: 178642 or 1599?
178642
Which is bigger: -3898636 or -3898633?
-3898633
Is 161 < 3003433?
True
Which is greater: 264728 or 44?
264728
Which is smaller: -1 or 5631/119356?
-1
Which is bigger: -11610 or -11102?
-11102
Which is bigger: 0 or -1705110?
0
Which is smaller: -2 or -102.7677?
-102.7677
Which is bigger: 10396406 or 10396399?
10396406
Which is greater: -8244672 or -8244631?
-8244631
Is -2123 greater than or equal to 372?
False
Is -6310799 < -31553996/5?
False
Is -6.46 equal to -2525?
False
Is 2822063 greater than 2821826?
True
Which is smaller: -434801827/5 or -86960364?
-434801827/5
Which is smaller: 21106321/4 or 5276579?
5276579
Which is smaller: -369/8 or 81701?
-369/8
Is -5948831 < 13?
True
Which is smaller: -518 or -44190?
-44190
Is -37845 < -33307?
True
Which is greater: -182 or -69375?
-182
Is -6403217 bigger than -6403216?
False
Which is smaller: -3479624 or -3479605?
-3479624
Is 1 smaller than -174/272321?
False
Is 84/237637 < 1?
True
Which is smaller: -2.11 or -328436?
-328436
Which is smaller: -3/36670 or -91?
-91
Is -146745 < -660?
True
Does 935493990 = 935493989?
False
Does 487541 = 486171?
False
Which is smaller: 0 or -1600834.96?
-1600834.96
Is -910342 < 0.171?
True
Which is smaller: 760313 or 3801558/5?
3801558/5
Which is smaller: -8 or -39.74978?
-39.74978
Is 7736 greater than or equal to 7738?
False
Which is smaller: -36/603775 or 1?
-36/603775
Which is greater: -1189030/311 or -3822?
-3822
Which is bigger: 4.5 or 176/2287?
4.5
Is -2320/34087 <= -1?
False
Which is greater: 102671340/11 or 9333757?
102671340/11
Which is bigger: -29 or -32628/1139?
-32628/1139
Is 9 > 18061/23?
False
Is 30301935 less than 30301935?
False
Which is bigger: 142207 or -60/13?
142207
Is -24/4408327 greater than -1?
True
Which is greater: 978362 or 978361?
978362
Is -1 smaller than -2/68426195?
True
Is 80149041 < 80149042?
True
Which is greater: 0 or 5/5266436?
5/5266436
Are -1 and 1/226520927 unequal?
True
Is 0
|
{
"pile_set_name": "DM Mathematics"
}
|
4 for b.
-5
Let s be (0/(-7))/(0 + -1). Let o be s + 3/(6/4). Suppose 3*z + 3*r - 5 = -o, -3*z - 5*r + 5 = 0. Solve -2*x = -z - 10 for x.
5
Let r(p) = -14*p - 19. Let j be r(-6). Let f be ((-4)/(-5))/(13/j). Solve 11 = f*w + 27 for w.
-4
Suppose 129 = 3*y + 15. Suppose -6 = -y*h + 35*h. Solve h*n = -n for n.
0
Let p be (-10)/4 - (2 - (-20)/(-8)). Let z be 0/(-22)*2/p. Solve 0*d - 5*d - 25 = z for d.
-5
Let g = -154 - -156. Let s(d) = d + 8. Let p be s(-6). Let m be 28/12 - p/(-3). Solve g*l = m*l - 1 for l.
1
Suppose 144 = 11*c + 45. Solve -8 = -c*a + 11*a for a.
-4
Suppose 0*q + 12 = 3*q. Suppose -11 = -b + 2*f - 3*f, -q*b + f + 39 = 0. Solve 5*w + b = 3*w for w.
-5
Suppose i - t - 25 = 0, 11*i = 6*i + 2*t + 128. Solve -3*v - 10*v = i for v.
-2
Let m(o) = 8*o - 4. Let d be m(1). Let b(h) = 9*h - 21. Let u be b(d). Solve u = p + 4*p for p.
3
Let p be (-2)/(-4) - 39/2. Suppose 3*r + n + 53 = 0, -3*r - 9*n - 73 = -13*n. Let v = p - r. Solve 2*m - 5 - 3 = v for m.
4
Let d(t) = t**2 - 15*t - 3. Let n be d(4). Let k = n - -50. Solve 3 = -k*h - 9 for h.
-4
Let n(h) = -20*h - 200. Let b be n(-10). Solve 3*p + 23 - 20 = b for p.
-1
Suppose -4*v + 4*w = -12, 4*v = -8*w + 3*w - 15. Solve v = -5*d - 2*d - 28 for d.
-4
Let m = 27 - 27. Suppose -2*k + 6*k - 20 = m. Solve -v = -k*v for v.
0
Suppose 2*t + 3 = 11. Suppose -r + 2*r = t. Let q(n) = -3*n**2 - 190*n - 236. Let d be q(-62). Solve -4*k - r = -d for k.
2
Let q be (-2289)/(-105) + 1/5. Suppose -5*l = 3*j - 33, -l - 5*j + 11 - q = 0. Solve p = -2*p + l for p.
3
Let g(d) = -d**3 - 10*d**2 + 10*d - 7. Let b = -66 + 99. Suppose -6*k - b = -3*k. Let a be g(k). Solve 2*m + 2 = a*m for m.
1
Let t = -33 + 35. Let c = -1 - -1. Let u(f) = -f**3 - 10*f**2 - 7*f - 70. Let w be u(-10). Solve w*i + i + t = c for i.
-2
Suppose 6*a - 228 = -210. Let c(m) = -m**2 - 5*m - 1. Let b be c(-2). Solve 0 = -b*r - 22 - a for r.
-5
Let j be (-7)/(-12)*26/91*0. Solve j = 27*f - 31*f for f.
0
Suppose -5*g = -41 + 1. Let i = -9 + 14. Suppose -7 = -i*a + g. Solve a*c = c + 8 for c.
4
Let p(t) = -11*t - 174. Let u be p(-18). Solve 21*l - 15*l = u for l.
4
Let u = 824 - 803. Solve 8*a = a + u for a.
3
Let c(l) = l**3 - 4*l**2 - 2*l. Let i be c(5). Let x be (((-48)/i)/4)/(12/(-90)). Suppose 5*r = 4 + 6. Solve r*j = -j - x for j.
-2
Let b(q) = -q**2 + 42*q + 273. Let g be b(47). Solve -5*l - g + 48 = 0 for l.
2
Suppose -h + 3 = 2*h + v, -v + 3 = 4*h. Solve 3*k - 10 + 19 = h for k.
-3
Let r be (76/5)/2 - (-48)/120. Solve -r - 46 = -18*h for h.
3
Let n be 4305/84 - 2/8. Suppose 5*s + v = 31, 0 = 2*s + 3*s - 4*v - n. Solve s = 3*b + 19 for b.
-4
Suppose -5*p = -16 - 9. Suppose 4*b - q = 21, p*q - 10 = -b + 10*q. Solve 0 = -b*l - 21 - 4 for l.
-5
Let m be (-8 - 196/(-20))*40/6. Solve l = -2*l + m for l.
4
Suppose 4*s = 3*s + 2. Suppose m - 15 = s*q, -5*m + 5 = 5*q - 10. Let x = 9 - m. Solve x*z - 5*z + 12 = 0 for z.
4
Suppose -6 - 15 = -3*s - 3*x, 5*s - 27 = -3*x. Suppose 0 = n + 2*k - 19, k - s*k = -10. Let a be 15/(n/60*4). Solve 8*m + a = 3*m for m.
-5
Let m be (-1)/(-1) - (-2 + -1). Let x be 1/4 + 6/(-24). Suppose -r + 6 = -x*r + 5*c, m*c = 4. Solve 2 = -y + r for y.
-1
Suppose g + 0*g = 1. Solve 21 - g = -4*z for z.
-5
Let h be (-6)/(-3) + (-4)/(-2)*2. Solve h*v = 3*v + 6 for v.
2
Let k(u) = u - 3. Let j be k(5). Let b(r) = -r**3 - 2 + 9*r**2 - 4*r - 4*r + 6. Let x be b(8). Solve j*y + 12 - x = 0 for y.
-4
Suppose 6 - 9 = -3*n. Let f be -7 + 5 + n*4. Let w be (32/(-8))/(f/(-4)). Solve -w = -d + 5*d for d.
-2
Let d be (-3 + 21/7)/(-1). Solve 3*h - 7*h - 4 = d for h.
-1
Let l be -60 + 54 + 37 + 3. Solve l = -2*z - 15*z for z.
-2
Let g = -53 - -50. Let x(p) = -p**2 - 3*p + 3. Let q be x(g). Solve -q*a - 3 = -6*a for a.
1
Suppose -25*a + 24 = -22*a. Let n be 3/8 - 3/a. Suppose 0 = 4*i - 2 - 18, 0 = -4*r + 2*i - 6. Solve n = -s - r for s.
-1
Let j(n) = 2*n - 1. Let w be j(3). Suppose -4*z + x + 25 = 0, w*z - 2*z + 3*x = 0. Suppose 4*h = z*s - 9, -s + 2 = 2*h + 3. Solve -9 = -5*a + s for a.
2
Let d = -1 - -3. Suppose -2*b = -p - 20, 5*p - d = b - 21. Let v = 12 - b. Solve -s - v*s - 8 = 0 for s.
-2
Let x be -6*6/15*(-20)/12. Suppose 3*c - 10 - 2 = x*m, -4*m + 16 = 4*c. Solve -4*n + 23 - 7 = m for n.
4
Let h = 9 + -13. Let n = h - -7. Suppose 3*s + 5*s = 16. Solve -s*v + n*v = 0 for v.
0
Let n be ((-1)/(-2))/(2/44). Let q(t) = 2*t**2 - 79*t + 119. Let y be q(38). Solve -y*v - n = 4 for v.
-3
Let i(p) = p**3 - 6*p**2 + 4*p + 8. Let v be i(5). Suppose -2*b + 22 = -24. Let h = b - 7. Solve k = -v*k + h for k.
4
Let l be 1/2*(-1 + 84 + 3). Solve -12 = -46*s + l*s for s.
4
Let b(k) = -k**3 - 3*k**2 + 2. Let u be b(-3). Solve -o - 1 = -u*o for o.
1
Let i(g) = g + 5. Let a be i(-5). Suppose 2*j + c = 5, a = j + 2*j + 5*c - 18. Solve -j = -s - 5 for s.
-4
Let d = -83 - -103. Let c = d - 16. Solve -c*b = -7 + 3 for b.
1
Suppose -3*s - 5*u - 14 = 0, 0 = -s - s - 4*u - 12. Let j be (12/(-21))/(2 + 16/(-7)). Suppose -2*o - n = j*o - 14, -s*o + 10 = -n. Solve o*m = -0*m for m.
0
Let s be 38/6 - 16/12. Let g = 389 - 372. Solve g = -s*c - 8 for c.
-5
Let y(n) = -39*n + 624. Let m be y(16). Solve m = 4*t - 2 - 2 for t.
1
Suppose -3*c - 3*h + 33 = -0*c, -4*h = -3*c - 2. Solve 0 = -c*j + 4*j for j.
0
Suppose -5*x = 3*p - 193, x - 3*p - 49 = -p. Solve 3*i - 38 = -x for i.
-1
Let i(z) = -z**3 + 5*z**2 + 5*z + 7. Let o = 45 + -65. Let u = 26 + o. Let k be i(u). Solve t - k = -5 for t.
-4
Suppose 0 = 3*m - 3*a - 58 - 32, 62 = 3*m + 4*a. Solve m*u - 27*u + 3 = 0 for u.
3
Suppose -4*o + 19 + 1 = 0. Suppose 10 = o*m - 5. Suppose 5*n - 20 = m*q, 0 = -3*n - q - 3*q + 12. Solve -c = -n*c for c.
0
Suppose -43 = -4*x + 36*y - 31*y, -y = -4*x + 47. Solve x*t = -54 - 6 for t.
-5
Let p(i) = 6*i - 20. Let m be p(6). Let b(j) = -7*j**2 - 2*j. Let z be b(2). Let u be z/m + (5 - 1). Solve -o + 0*o - u = 0 for o.
-2
Suppose 0 = -106*w + 110*w + 204. Let a = 51 + w. Solve a + 4 = 4*n for n.
1
Suppose 28*v - 4*v = 648. Solve 23*p + 16 = v*p for p.
4
Suppose 0*x = x. Suppose 7*q = 34 + 64. Suppose -3*o - o = w - 10, -4*w - 3*o = -q. Solve x = -2*h + h - w for h.
-2
Suppose 0 = -2*t + 3 + 37. Suppose 5*f + 20 = -s, -3*s - f = -6*f - t. Solve s*q = -q - 4 for q.
-4
Suppose -3*y - d + 9 = -22, 5*y = -d + 55. Solve -9 = -3*x - y for x.
-1
Let o(g) = -6 + 25 - 10 - g - 10. Let b be o(-3). Solve 0 = b*n + n for n.
0
Let l be 0 - (-12 + 5) - (-1 + 3). Solve l*q - 33 = -18 for q.
3
Let h = 14 - 18. Let s be h/2 + -8 + 12. Solve 0 = 4*y - s*y + 4 for y.
-2
Suppose 5*g - 25 = -l, l - 3*g = 2*g - 25. Let r = -104 + 102. Let d be (r/(-5))/((-1)/(-10)). Solve -o = -l*o - d for o.
4
Let q(y) = y**2 + 38*y + 5. Let v be q(0). Solve 13*o - v*o = -16 for o.
-2
Suppose -u - x + 15 = 0, -16*u - 2*x - 40 = -21*u. Solve -3*p - u = 5 for p.
-5
Let u = -222 - -228. Solve -u + 18 = -3*m for m.
-4
Let i(k) = -4*k - 9. Let u be i(-3). Suppose 0 = u*g + 2*j + 2 + 2, -2*j - 16 = -3*g. Solve 7 = 3*c - g for c.
3
Let b be 15/6*(-4 - (-56)/10). Solve -b*w - 9*w + 12*w = 0 for w.
0
Let y = -1 + 1. Let x = 58 + -54. Solve y = 4*v + x - 0 for v.
-1
Suppose -82*b = -81*b - 8. Solve 9*u + b*u + 17 = 0 for u.
-1
Suppose -3*c - 3*c = 0. Suppose -3*q + c*s = -2*s - 44, 32 = 2*q - 4*s. Suppose 0 = 2*r - 3*l - 0 + 1, -5*l + 31 = 4*r. Solve -r = 5*n - q for n.
2
Let y(k) = k + 1. Let l be y(3). Suppose 5*q - l*g + 65 = 0, 0*q + 4*g + 25 = -5*q. Let w = 9 + q. Solve 0*h + h + 3 = w for h.
-3
Let n = 555 + -553. Suppose -3*j = -5*s + 5, -2*j + 2*s = -0*j - 2. Solve n + 3 = j*d for d.
1
Let t be 2/3*(6 + -3). Let f be (-23)/(-7) + t/(-7). Suppose -f*q = -4*i + 16, 3*q + 0*q = 0. Solve -i*v - 8 = 4 for v.
-3
Let b = 24 + -19. Suppose -3*g - b*i = -6*g - 25, -3*g - 4*i + 20 = 0. Let d be 3 + (4 - 1 - 3). Solve g = d*p + 1 - 4 for p.
1
Suppose -3*q = -3*w + 3, -w - 5*q - 10 + 29 = 0. Suppose -3*r = -w*r + 2. Solve -j = r*j - 6 for j.
2
Suppose -4*c - 8 = 0, 0*c = 5*x + 3*c - 284. Solve -s - 63 + x = 0 for s.
-5
Suppose -7*a + 4*a = 0. Let j be a/(-2) - (4 + -5). Solve w = -0*w - j for w.
-1
Let h = 30 - 25. Let f(w) = -w**3 - 3*w**2 + 4*w + 4. Let a be f(-4). Suppose a*y = 7*v - 2*v - 16, 0 = -2*v + 3*y + 5. Solve -v*m = -h*m - 4 for m.
-4
Let p(x) = 2*x**3 - x**2 - 3*x + 12. Let f be p(0). Suppose 3*d = d. Solve d = -5*m
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 - 336*o*v**3
Find the first derivative of -2*i**3*l*u**3 + 41*i**3*l + i**3*u + 2*i**3 + 46*u**3 wrt l.
-2*i**3*u**3 + 41*i**3
What is the second derivative of -117*d**5 - 52*d?
-2340*d**3
Differentiate -f*k**4 - 3308*f*k**3 + 301*f - 15 wrt k.
-4*f*k**3 - 9924*f*k**2
What is the derivative of j**3 + 2*j*l*u - 717*j*u**2 - 3*l*u**2 - 36*u**2 - 1 wrt j?
3*j**2 + 2*l*u - 717*u**2
What is the third derivative of 9*i**6 + 3*i**5*x + 2*i**3*x + 141*i**2*x - 2*i**2 + 4 wrt i?
1080*i**3 + 180*i**2*x + 12*x
What is the second derivative of k**2*w**5 - k**2*w**2 + 241*k**2*w + 2*k**2 wrt w?
20*k**2*w**3 - 2*k**2
What is the first derivative of -115*c**2*i**2 + 3245*c**2 - 2*i**3 - i wrt i?
-230*c**2*i - 6*i**2 - 1
What is the derivative of -12229*o*v**2 + 6951*v**2 wrt o?
-12229*v**2
Find the second derivative of 489*y**2 + 181*y.
978
What is the derivative of -122*r**3 + 178?
-366*r**2
What is the second derivative of 1776*n**4 + 5*n + 79 wrt n?
21312*n**2
What is the second derivative of -6046*v**2 + 2409*v + 1?
-12092
Find the second derivative of 70*d**2 - 969*d + 2 wrt d.
140
What is the third derivative of 3*f*j**5 - 2*f*j**2 - 87*j**3 + 33*j wrt j?
180*f*j**2 - 522
What is the first derivative of 674*a**3 + 3*a**2 + 1045 wrt a?
2022*a**2 + 6*a
Find the second derivative of 71*f**3*z**4 + 1265*f**3*z - 3*f*z**4 wrt z.
852*f**3*z**2 - 36*f*z**2
What is the derivative of 193*c*y**3 + 154*y**3 wrt c?
193*y**3
Differentiate -442*f - 568 wrt f.
-442
What is the second derivative of 6*g*s*z**2 + 107*g*s*z + g*z**2 + 11*s*z**2 + 3*s*z wrt z?
12*g*s + 2*g + 22*s
What is the third derivative of -2*d**6 + d**5 + 1146*d**4 + 2327*d**2 - 7 wrt d?
-240*d**3 + 60*d**2 + 27504*d
What is the third derivative of -172*l**4 - 2*l**2 - 7*l wrt l?
-4128*l
What is the third derivative of -9032*h**3 + 157*h**2 - 10 wrt h?
-54192
Find the third derivative of 30*v**6 + 2*v**3 - 2*v**2 + 5*v wrt v.
3600*v**3 + 12
What is the third derivative of 4*k**5*y - 357*k**4 + k**3*y - 135*k**2*y - 11*y wrt k?
240*k**2*y - 8568*k + 6*y
Differentiate -145*i**3 + 663 wrt i.
-435*i**2
Find the third derivative of 4*l**6 - l**3 + 47*l**2 - 3 wrt l.
480*l**3 - 6
Differentiate -13107*t + 28405 with respect to t.
-13107
Differentiate 5128*j*v + 7148*j with respect to v.
5128*j
What is the derivative of -172*h + 4369?
-172
Find the second derivative of 13371*u**2 + 18610*u.
26742
Find the second derivative of 4*c**3 + 917*c**2 + 2676*c.
24*c + 1834
What is the first derivative of -20*j*m**2*z**2 - 2*j*z**2 - 15*j - 166*m**2*z**2 + 10*m*z wrt j?
-20*m**2*z**2 - 2*z**2 - 15
Find the third derivative of 367*f*g**4 - 2*f + 15*g**5 + 199*g**2 wrt g.
8808*f*g + 900*g**2
Find the first derivative of 22*d*h - d*x**2 - 32*d - h*x**2 wrt h.
22*d - x**2
Differentiate 19*g**4 - 6*g**2 + 157 wrt g.
76*g**3 - 12*g
What is the third derivative of -132*t**4*v**3 - t**2*v + 9*v**3 wrt t?
-3168*t*v**3
Differentiate 20*h**4 + 142*h - 13241.
80*h**3 + 142
What is the derivative of -327*x**2 + 2*x - 1789 wrt x?
-654*x + 2
What is the third derivative of 13*d**4*n**2 - 4*d**4 + 2*d**3*n**2 + 454*d**2*n**2 + 2*n**2 wrt d?
312*d*n**2 - 96*d + 12*n**2
What is the third derivative of -2*k**2*l**2*n**3 + k**2*l**2*n**2 + 1803*k**2*l*n**3 - 2*k**2*n + 61*k*l**2 wrt n?
-12*k**2*l**2 + 10818*k**2*l
What is the third derivative of 29*b**6 - 4*b**5*v - 37*b**2*v - 24*b*v wrt b?
3480*b**3 - 240*b**2*v
What is the second derivative of h**5 + 399*h**3 + 204*h?
20*h**3 + 2394*h
Differentiate -c*i*n*w - c*n*w + 2*c*w + c - 12*i*n - 2*i - 6*n*w with respect to w.
-c*i*n - c*n + 2*c - 6*n
Find the third derivative of 14*k**3*v**4 + 3*k**3 - 5*k**2*v**2 + 2*k**2 - 2*k*v**4 - 3*k*v**3 wrt v.
336*k**3*v - 48*k*v - 18*k
Find the second derivative of j**4 - 749*j**3 - 9*j + 1.
12*j**2 - 4494*j
What is the second derivative of -3*m**5*z - 5*m**3*z**2 + 2*m*z - 14*z**2 - 1 wrt m?
-60*m**3*z - 30*m*z**2
What is the third derivative of -25185*j**3 + 67*j**2 - 2 wrt j?
-151110
Differentiate 95*x - 1382.
95
Find the third derivative of -2340*d*v**3 + 6*d*v + v**3 - v**2 + 46*v wrt v.
-14040*d + 6
What is the derivative of 49*s**4 + 2*s**2*u**2 - 4*s**2*u + 7*u**2 + 14*u wrt s?
196*s**3 + 4*s*u**2 - 8*s*u
What is the second derivative of -583*x**2 - 278*x + 3?
-1166
Find the second derivative of -93*q**2 - 33*q - 2 wrt q.
-186
Find the third derivative of -7*g**2*h**3 + 1279*g**2*h**2 - 59*g*h**4 wrt h.
-42*g**2 - 1416*g*h
Find the second derivative of -2*d*s**2*x**2*y - 4*d*s**2*x*y**3 - 29*d*s**2*x*y**2 + 2*d*s*x*y**2 - 435*d*x**2*y**3 + 2*s**2 wrt x.
-4*d*s**2*y - 870*d*y**3
Find the second derivative of p*q**4 - 2*p*q + 135*q**4 + 38*q wrt q.
12*p*q**2 + 1620*q**2
What is the first derivative of 470*b**4*q**3 - 20*b*q**2 + 6*q**3 - 6*q**2 - 63*q wrt b?
1880*b**3*q**3 - 20*q**2
Find the second derivative of -112*p**2*r**2*w**3 + 7*p*r**2*w**3 + 4*p*r*w**2 + r**2*w**2 - 3*w**3 wrt p.
-224*r**2*w**3
Find the second derivative of 717*l**2*s**3 - l**2*s - 8*l*s**3 - 2*l*s**2 - l*s + 4*s**3 wrt l.
1434*s**3 - 2*s
Differentiate 151*g**2*h**2 + 310*g**2 - 2*g*h**3 - 3*g*h - 2*g with respect to h.
302*g**2*h - 6*g*h**2 - 3*g
What is the third derivative of -4309*d**3*j**5 + d**3*j**2 - 4*d**3*j + 25*d**2*j**2 + j wrt j?
-258540*d**3*j**2
Find the first derivative of 131*b**4 + 5*b**2*k**2 - b*k*m**2 - 469*k**2*m**2 - 2*m**2 wrt b.
524*b**3 + 10*b*k**2 - k*m**2
Differentiate -2*b**2*s + 17*b**2 + 2*b*s + 4*b - 4*s - 101 with respect to b.
-4*b*s + 34*b + 2*s + 4
Differentiate h**2*k**3 - 434*h**2 + 2650*h*k**4 - 10*h with respect to k.
3*h**2*k**2 + 10600*h*k**3
Find the first derivative of -3*g**2*t - 5*g**2*v - 3*g*v + 2*g - t**2*v - 360*t**2 wrt v.
-5*g**2 - 3*g - t**2
Differentiate 1133*s*z - 82*s wrt z.
1133*s
Find the first derivative of 28*f**4 + 2*f**3 + 148 wrt f.
112*f**3 + 6*f**2
Differentiate -660*g*s**2 - 1921*s**2 wrt g.
-660*s**2
Find the third derivative of 4*y**3*z**4 - y**3*z**3 + 123*y**3*z - 8*y**2*z**2 + 28*z**5 wrt z.
96*y**3*z - 6*y**3 + 1680*z**2
Differentiate -2*i**2 + 143*i + 848 with respect to i.
-4*i + 143
What is the third derivative of 4483*i**3*o**3 - i**2*o**2 - 2*i - 7*o**3 - o**2 wrt i?
26898*o**3
What is the third derivative of 79*r**4 + 5*r**3 + 1607*r**2 wrt r?
1896*r + 30
What is the third derivative of 2672*k**5 + 34*k**2 + 5 wrt k?
160320*k**2
What is the third derivative of 3603*a**4*d**3 - 706*a**2*d**2 - 3*d**3 wrt a?
86472*a*d**3
Find the first derivative of -1078*y**2 - 260.
-2156*y
Find the first derivative of -3*d**4 - 67*d**3 + 3*d**2 + 8761 wrt d.
-12*d**3 - 201*d**2 + 6*d
Find the first derivative of -707*a**4 - 1922.
-2828*a**3
Find the third derivative of -k**5 + 11*k**4 + 2*k**3 - 178*k**2 - 3*k + 2.
-60*k**2 + 264*k + 12
Differentiate 74*r**3 - 171 with respect to r.
222*r**2
Find the third derivative of -25*n**2*w**3 + 3*n**2*w - n - 98*w**4 + 78*w**2 - 6 wrt w.
-150*n**2 - 2352*w
What is the first derivative of -11671*w**4 + 6989 wrt w?
-46684*w**3
What is the third derivative of -f**4 + 39*f**3 + 106*f**2?
-24*f + 234
What is the third derivative of -15775*w**3 + 676*w**2 - 8*w?
-94650
What is the derivative of f*g*i - 5*f*i - 14*f + 2*g*i + 108*g + 259*i wrt i?
f*g - 5*f + 2*g + 259
What is the derivative of -359*t**3 + 3*t - 6816?
-1077*t**2 + 3
Find the first derivative of 9*h**3*n + 927*h**3 - 18*h*n wrt n.
9*h**3 - 18*h
Differentiate 1507*j*l*t - 48*j*l - j wrt t.
1507*j*l
What is the first derivative of 1761*k**4 - 1656?
7044*k**3
Find the third derivative of 294*n**3 - 86*n**2 wrt n.
1764
Find the third derivative of -5*g*t**3*x**3 - g*t**3*x - g*t**2*x**3 + 185*g*t**2 + g*x + 7*t**3*x**3 wrt t.
-30*g*x**3 - 6*g*x + 42*x**3
What is the second derivative of 6*q**5 - 102*q**4 - 2*q**2 + 15902*q wrt q?
120*q**3 - 1224*q**2 - 4
Find the first derivative of -20*p**2*s - 4*p**2*y + 2*p*r - p*s*y - 40*r - s*y - 9*s wrt p.
-40*p*s - 8*p*y + 2*r - s*y
Find the third derivative of 3054*d**3 - 2*d**2 + 1174*d wrt d.
18324
Differentiate 55*r**3 + 165 wrt r.
165*r**2
Differentiate -120*y + 97 wrt y.
-120
Differentiate 17*c**2*i*x**2 - 8*c**2*i - 2*c**2*x**2 + 2*c**2 - c*x**2 wrt x.
34*c**2*i*x - 4*c**2*x - 2*c*x
Find the second derivative of 142*q**2 + 279*q.
284
What is the second deri
|
{
"pile_set_name": "DM Mathematics"
}
|
t w(o) = 320*o + 34223. Give w(-107).
-17
Let m(r) = r**3 + 99*r**2 + 1831*r - 11065. Determine m(-71).
82
Let v(t) = 119361*t + 119409. Calculate v(-1).
48
Let a(p) = 3*p**2 - 1117*p + 16096. Give a(15).
16
Let k(l) = -l**3 - 2556*l**2 - 45520*l + 416221. Determine k(-2538).
-11
Let m(p) = 2*p**2 - 74*p + 717. Determine m(20).
37
Let w(b) = 47*b + 272. What is w(-39)?
-1561
Let x(d) = -d**3 - 65*d**2 - 64*d + 10952. Give x(-61).
-28
Let o(n) = -7*n**2 + 14*n + 406. What is o(15)?
-959
Let w(v) = 1913*v - 22365. Determine w(12).
591
Let d(h) = h**2 - 45827*h + 6897065. What is d(151)?
-11
Let c(o) = 729*o - 10645. What is c(13)?
-1168
Let v(y) = -9*y**2 + 342*y - 3210. Give v(17).
3
Let k(l) = 11331*l + 56790. What is k(-5)?
135
Let f(z) = 486*z**2 + 99*z - 329. Determine f(3).
4342
Let y(q) = -3*q**3 - 96*q**2 + 111*q + 3549. What is y(-32)?
-3
Let j(y) = -y**3 + 21*y**2 - 458*y + 10519. What is j(22)?
-41
Let q(f) = f**2 - 49137*f - 491559. What is q(-10)?
-89
Let f(x) = -186931*x + 1308510. Calculate f(7).
-7
Let b(c) = 8*c**3 + 81*c**2 - 45*c - 365. Calculate b(-10).
185
Let t(g) = -7*g**2 + 31013*g + 936690. Give t(-30).
0
Let c(s) = -67*s - 11880. Give c(-176).
-88
Let w(c) = -5*c**2 + 4061*c + 461158. Determine w(-101).
-8
Let h(q) = 412*q**2 + 3281*q - 67. What is h(-8)?
53
Let n(g) = -29252*g - 672820. Give n(-23).
-24
Let y(j) = 4*j**2 - 8384*j + 33474. Determine y(4).
2
Let d(q) = -2588*q - 224948. What is d(-87)?
208
Let j(g) = 2057*g**2 + 28*g + 27. What is j(-1)?
2056
Let a(d) = 2*d**3 - 574*d**2 + 36096*d - 1064. What is a(93)?
52
Let k(u) = u**3 - 95*u**2 - 1355*u - 4926. Calculate k(108).
366
Let v(m) = -1119*m - 219432. Give v(-196).
-108
Let j(b) = -14920*b - 7713642. Determine j(-517).
-2
Let y(j) = -485*j**2 + 33949*j + 64. Determine y(70).
-6
Let v(w) = -4862*w - 9487. What is v(-2)?
237
Let j(b) = 19*b**2 + 1410*b - 13925. Calculate j(10).
2075
Let a(u) = -20831*u - 395781. Give a(-19).
8
Let a(r) = -10970*r + 44082. Determine a(4).
202
Let s(z) = 1054*z - 90640. Calculate s(86).
4
Let w(q) = -2*q**2 - 2587*q + 243146. What is w(88)?
2
Let v(j) = 4087*j + 44945. What is v(-11)?
-12
Let z(g) = -1170*g - 94733. Determine z(-81).
37
Let a(k) = -k**3 - 49*k**2 - 528*k - 1626. What is a(-6)?
-6
Let q(g) = 2*g**2 - 28941*g - 231668. Give q(-8).
-12
Let v(h) = -1498*h**2 + 7929*h - 2190. What is v(5)?
5
Let d(v) = -3*v**3 - 60*v**2 + 127*v + 8. Calculate d(-14).
-5298
Let v(y) = 2*y**2 - 313*y + 6733. Calculate v(131).
52
Let g(f) = 7*f - 1040. Calculate g(70).
-550
Let f(u) = -529*u + 721. Determine f(-1).
1250
Let k(n) = -n**3 - 90*n**2 + 1508*n + 27. Determine k(14).
755
Let c(n) = n**2 - 96*n - 3620. Give c(-42).
2176
Let q(x) = 3*x**3 - 15*x**2 - 1497*x - 8710. What is q(-7)?
5
Let c(m) = 9*m**3 + 3*m**2 - 3028*m + 6042. Give c(2).
70
Let m(k) = -4*k**2 + 507*k + 6035. Calculate m(-11).
-26
Let r(x) = 10*x**2 - 27*x - 23365. Give r(-47).
-6
Let b(n) = -165672*n + 828366. Calculate b(5).
6
Let r(v) = -v**3 + 18*v**2 - 546*v + 4741. Give r(10).
81
Let v(y) = -21*y**2 - 1488*y + 130. Calculate v(-71).
-83
Let x(r) = -179718*r - 59. What is x(0)?
-59
Let x(c) = c**3 - 99*c**2 + 2333*c - 243458. Give x(100).
-158
Let v(f) = 3246*f**2 - 38*f - 23. Calculate v(1).
3185
Let x(q) = -7030*q + 1054499. Give x(150).
-1
Let o(h) = -110*h - 19347. Calculate o(-177).
123
Let y(c) = 266474*c - 266488. Determine y(1).
-14
Let x(i) = -i**3 + 173*i**2 - 204*i + 5436. What is x(172)?
-68
Let f(a) = -1080236*a + 6481455. Give f(6).
39
Let g(c) = -891*c - 171342. Give g(-192).
-270
Let q(v) = -2355*v + 42118. Calculate q(18).
-272
Let f(h) = 124290*h - 124292. Determine f(1).
-2
Let v(k) = 2984*k - 298. Determine v(0).
-298
Let h(f) = -301*f**2 - 363*f - 65. Give h(-1).
-3
Let m(o) = -25*o**2 + 17*o + 13. What is m(3)?
-161
Let d(z) = -3*z**2 + 820*z + 331831. Determine d(-223).
-216
Let z(n) = 2281*n + 66138. Give z(-29).
-11
Let i(y) = 2117*y - 78. Determine i(0).
-78
Let q(r) = 51823*r - 13577587. Calculate q(262).
39
Let j(n) = -n**2 + 404*n + 3864. What is j(-10)?
-276
Let c(f) = f**2 + 28*f + 41. What is c(13)?
574
Let v(z) = -z**2 - 11335*z - 45331. Calculate v(-4).
-7
Let x(n) = 60*n + 2936. Give x(-36).
776
Let a(m) = -661*m - 32. Calculate a(0).
-32
Let k(d) = -d**3 - 401*d**2 + 18066*d - 24750. Give k(-442).
2
Let i(a) = -12*a**3 - 11*a**2 + 20*a + 11. Calculate i(4).
-853
Let p(c) = -74*c**3 - 4*c**2 + 35*c + 38. Determine p(-1).
73
Let q(z) = z**3 + 114*z**2 + 751*z + 557. Give q(-107).
343
Let c(y) = -16*y**2 - 208*y - 726. Determine c(-7).
-54
Let a(m) = -1425*m + 343884. What is a(241)?
459
Let h(z) = 7*z**3 - 204*z**2 + 570*z - 55. Calculate h(26).
-107
Let m(c) = -c**3 - 19*c**2 - 84*c + 1. Calculate m(-14).
197
Let u(i) = 4*i**3 - 19*i + 29. Calculate u(2).
23
Let d(g) = -g**3 - 4*g**2 - 552*g - 1674. Give d(-3).
-27
Let f(q) = -8*q**2 - 5763*q + 262583. What is f(43)?
-18
Let u(d) = 1754*d - 114021. Give u(65).
-11
Let p(m) = m**3 - 21*m**2 + 334*m - 2295. Calculate p(10).
-55
Let q(o) = -o**3 + 25*o**2 + 625*o - 1000. Calculate q(40).
0
Let y(k) = 4*k**2 + 294*k - 22669. Give y(47).
-15
Let k(f) = 2*f**3 - 205*f**2 + 899*f - 1801. Determine k(98).
-135
Let v(z) = 29997*z - 59755. What is v(2)?
239
Let w(c) = -c**2 + 7686*c + 161804. What is w(-21)?
-43
Let h(w) = -199138*w - 995685. What is h(-5)?
5
Let j(s) = 14524*s + 43535. Give j(-3).
-37
Let j(c) = -2009*c - 60256. What is j(-30)?
14
Let c(q) = -2*q**2 + 227*q + 4062. What is c(130)?
-228
Let o(j) = -33*j + 9054. Determine o(269).
177
Let z(k) = -570*k + 2840. Give z(6).
-580
Let x(q) = -500*q - 42. Give x(1).
-542
Let q(n) = 6*n**3 + 628*n**2 + 302*n + 53767. What is q(-105)?
7
Let n(x) = -x**3 - 19*x**2 + 3*x + 778. Give n(-10).
-152
Let n(a) = -6*a**2 - 2652*a - 38425. Determine n(-15).
5
Let b(h) = -6*h**3 - 253*h**2 - 1487*h - 69. What is b(-7)?
1
Let i(n) = n**3 + 18*n**2 - 41*n - 123. Calculate i(-18).
615
Let t(u) = -3*u**3 + 112*u**2 - 64*u + 722. Calculate t(37).
-277
Let x(g) = -14680*g - 102231. What is x(-7)?
529
Let w(p) = p**2 + 938*p - 137595. Give w(129).
48
Let j(n) = -1733*n - 50236. What is j(-29)?
21
Let k(d) = -2*d**2 - 23077*d - 1171731. Calculate k(-51).
-6
Let t(u) = 2*u**3 - 224*u**2 + 6145*u - 130. What is t(48)?
-82
Let f(l) = -l**3 + 175*l**2 + 869*l - 27385. Determine f(179).
2
Let t(k) = k**2 + 186*k - 3262. Determine t(25).
2013
Let r(t) = -3*t**2 + 4465*t + 13403. Calculate r(-3).
-19
Let r(y) = -y**3 - 23*y**2 + 119*y + 1159. Give r(-26).
93
Let k(n) = -2*n**3 + 20*n**2 + 56*n - 477. Determine k(11).
-103
Let w(m) = -1807*m**2 + 18021*m + 503. Give w(10).
13
Let v(t) = -t**3 + 18*t**2 + 54*t + 2070. Give v(24).
-90
Let w(s) = s**3 - 1447*s**2 + 388398*s - 716. What is w(356)?
-4
Let f(h) = -1232*h + 11103. Determine f(9).
15
Let r(f) = -60399*f - 905818. Give r(-15).
167
Let b(l) = 47*l**2 + 6195*l + 6188. Give b(-1).
40
Let b(k) = -186883*k + 1121214. Give b(6).
-84
Let g(k) = k**3 + 40*k**2 + 654*k + 6984. Determine g(-25).
9
Let u(t) = -10*t**3 - 85*t**2 - 52*t - 878. Determine u(-9).
-5
Let m(a) = 1144*a - 12373. Give m(11).
211
Let f(w) = 1564*w**2 - 32836*w - 107. Calculate f(21).
61
Let c(d) = -7*d**3 + 591*d**2 + 346*d - 533. Give c(85).
-23
Let b(q) = -17*q**3 - 100*q**2 + 548*q + 49. Determine b(5).
-1836
Let t(d) = 227756*d + 7743698. Determine t(-34).
-6
Let r(a) = -162901*a - 1303188. What is r(-8)?
20
Let m(d) = 2745*d + 159204. What is m(-58)?
-6
Let m(z) = -8*z**2 - 193*z + 221. Give m(-27).
-400
Let c(n) = 4*n**2 + 132*n - 631. Determine c(-45).
1529
Let w(o) = 255*o - 2153. What is w(9)?
142
Let a(j) = 20*j - 441. What is a(11)?
-221
Let g(i) = i**3 - 21*i**2 - 769*i + 16685. Determine g(25).
-40
Let j(l) = 8*l**3 - 881*l**2 + 369*l - 28479. Give j(110).
11
Let z(b) = -b**3 - 276*b**2 + 2558*b + 4. Determine z(9).
-59
Let i(a) = -a**2 - 17*a + 10209. What is i(93)?
-21
Let s(c) = -88*c**3 + 2*c**2 - 50*c - 67. Give s(-2).
745
Let m(s) = -85*s**2 - 108*s + 121. Give m(-7).
-3288
Let k(q) = 129*q**2 + 1158*q - 1280. Give k(1).
7
Let x(y) = -18*y**2 - 1226*y - 10894. Determine x(-9).
-1318
Let p(i) = 2*i**3 + 17*i**2 + 8157*i + 65211. Calculate p(-8).
19
Let x(s) = 320*s - 7587. Determine x(18).
-1827
Let z(i) = 23*
|
{
"pile_set_name": "DM Mathematics"
}
|
econd derivative of -879923*n**2*p**3 + 2*n*p**3 - 19851*n*p**2 - 2*p wrt n.
-1759846*p**3
What is the derivative of -12*k**2*w**4 - 91100*k**2 + 216*k*w**4 + w wrt w?
-48*k**2*w**3 + 864*k*w**3 + 1
What is the second derivative of 6732284*x**5 - 2724924*x?
134645680*x**3
Differentiate 43955*o*w + 2032*o - 2*w**2 + 65 wrt w.
43955*o - 4*w
What is the third derivative of -1137559*x**3 + 9*x**2 - 4*x + 1856 wrt x?
-6825354
What is the second derivative of -4814*j**2*l - 2*j**2 - 3*j*l + 247*j - 10*l wrt j?
-9628*l - 4
What is the second derivative of -261*v**5 + 307*v**4 - 3*v + 113361 wrt v?
-5220*v**3 + 3684*v**2
Differentiate 1792282*a**2 + 1237289 with respect to a.
3584564*a
Find the second derivative of -1152582*j**2 + 5317*j - 87 wrt j.
-2305164
What is the second derivative of -s**4 + 150*s**3 - 7*s**2 - 80601*s?
-12*s**2 + 900*s - 14
Differentiate 431382*q**4 + 1391551 with respect to q.
1725528*q**3
Find the third derivative of 34907*h**3*w**6 + 9*h**3*w**4 - 11*h**3*w**2 - 15069*w wrt w.
4188840*h**3*w**3 + 216*h**3*w
Find the third derivative of 2*j**5 - 1037685*j**3 - 10*j**2 + 21444*j.
120*j**2 - 6226110
What is the second derivative of -26799*f**3 - 73409*f?
-160794*f
What is the second derivative of 15*l**5 - l**3 + 2940*l**2 + 708905*l wrt l?
300*l**3 - 6*l + 5880
What is the second derivative of 129011*i**3 - 16961*i + 2?
774066*i
What is the first derivative of 5*z**2 + 1219*z + 257511 wrt z?
10*z + 1219
What is the second derivative of 327618*i**2*j**2 - i**2*j + 92468*i**2 - 2*i*j**2 - j wrt j?
655236*i**2 - 4*i
What is the third derivative of 13420*g**4 - g**3 + 688*g**2 - 2*g?
322080*g - 6
Find the second derivative of -435657*b**2*r + 8*b*r - 18560*b + r wrt b.
-871314*r
What is the second derivative of -d**2*y**2 + 769*d**2*y - 2*d**2 + 205*d*y**2 + 3*d*y - 7*y**2 wrt y?
-2*d**2 + 410*d - 14
What is the third derivative of -l**3*m**2*u - 3607*l**3*u**2 - l**2*m**2*u - 75333*l**2 - m**2*u**2 wrt l?
-6*m**2*u - 21642*u**2
What is the derivative of 383*b*g*h*m - 18*b*g*h - 4*b*h*m + 283*b - g*h - 3*m wrt m?
383*b*g*h - 4*b*h - 3
What is the third derivative of -38*f**4*h*o + 54*f**4*o + f**4 - f**2*h*o + 120*f**2*o + 2*h*o wrt f?
-912*f*h*o + 1296*f*o + 24*f
Find the first derivative of 2*d**3*t*y + 4*d**3*t - d**3*y - 2*d**3 + 390*d**2*y - 2*d**2 - 2*d*t + 83*t wrt t.
2*d**3*y + 4*d**3 - 2*d + 83
Find the third derivative of -196283*p**4 - 21*p**2 - 2901*p wrt p.
-4710792*p
Find the second derivative of -32056*o**3 - 3*o - 424.
-192336*o
What is the derivative of 20*n**4 - 323*n**3 + 136692 wrt n?
80*n**3 - 969*n**2
Find the third derivative of 388357*y**3 + 8*y**2 - 9*y + 211 wrt y.
2330142
Find the second derivative of -552211*a**3*c**2 - 19*a*c**2 - 224*c**2 wrt a.
-3313266*a*c**2
What is the second derivative of -4575*d**3*j**2 + 24*d**3*j*t + 4*d**3*j + 18*d**3*t + d**2*j + 8*d*j**2*t - 2*d*j*t + 2*j**2*t - 4*j*t wrt j?
-9150*d**3 + 16*d*t + 4*t
What is the second derivative of 15*a**2*d**2 - 30*a**2*d + 3*a**2 - 3*a*d**2 - 2*a - 30*d**2 - d wrt d?
30*a**2 - 6*a - 60
What is the third derivative of -548053*s**3 + s**2 + 44370*s + 4?
-3288318
Find the first derivative of 9777*w**2 - 8941 wrt w.
19554*w
What is the first derivative of -11*k**3 - 561*k*y**3 + 9208*y**3 wrt k?
-33*k**2 - 561*y**3
What is the third derivative of 1259486*b**4 - 3*b**2 - 1799*b - 1?
30227664*b
Find the second derivative of 208895*p**3 + 88430*p wrt p.
1253370*p
What is the second derivative of 15212*o**3 + 91014*o?
91272*o
What is the first derivative of 128745*c**2*s**3 - 154047*s**3 wrt c?
257490*c*s**3
Find the third derivative of 27*u**4 + 34*u**3 + 302*u**2 + u - 5.
648*u + 204
Find the second derivative of -2*b**2*n**2*t + b**2*n*t + 3051*b**2*t - 5*b*t - 1224*b + n**2*t + n**2 wrt b.
-4*n**2*t + 2*n*t + 6102*t
What is the second derivative of 2796*p**4 + 48337*p?
33552*p**2
Differentiate -252442*h*t**3 + 181564*t**3 with respect to h.
-252442*t**3
Differentiate -2*j**3 + 856*j**2 - 11*j - 18346 with respect to j.
-6*j**2 + 1712*j - 11
Find the third derivative of -2*k**5 + 8301*k**4 + 5*k**2 - 510*k + 1.
-120*k**2 + 199224*k
Find the second derivative of -45*c**2*x**2 - 23824*c**2 + 77*c*x**2 + x wrt x.
-90*c**2 + 154*c
What is the second derivative of 2*j**3*z**3 - 1691250*j**2*z**3 + j*z**3 + 7852*j*z**2 + 4*j + 6*z**2 wrt j?
12*j*z**3 - 3382500*z**3
Differentiate 1186544*v*w - 702*v - 560 wrt w.
1186544*v
Find the third derivative of -441013*h**3 - 26*h**2 - 18794*h.
-2646078
Find the second derivative of 730*k**3*u - 8*k**3 - 7*k**2*u - 8*k*u + k - 10*u - 132 wrt k.
4380*k*u - 48*k - 14*u
Find the second derivative of 3*j**5*t - 1331*j**2*t*u + 11*j**2*t - 72*j*t*u - 44*j*t wrt j.
60*j**3*t - 2662*t*u + 22*t
What is the first derivative of -15*c*r**2 - 4020*c*r + c + 523039*r**2 wrt c?
-15*r**2 - 4020*r + 1
What is the derivative of -2930*s**2 - 627*s + 1245769?
-5860*s - 627
What is the derivative of 99232*o + 104262 wrt o?
99232
What is the derivative of 7529*i**2 - 18*i - 178486?
15058*i - 18
Find the second derivative of 19*n*r**5 + 1572*n*r**3 - 19509*n*r + 2*r**3 - 5 wrt r.
380*n*r**3 + 9432*n*r + 12*r
Find the third derivative of 3286*i**3*m*u + 18569*i**2*m*u wrt i.
19716*m*u
What is the third derivative of -8374*k**3*y**3 + 3*k**3*z**3 + 2*k**2*y**3 + 2*k**2*y**2 - k**2*y*z**3 - 67*k**2*z**3 - k*y*z**3 wrt k?
-50244*y**3 + 18*z**3
Differentiate 2*l*y**3 - l*y + 1590310*l + 8724*y**2 + y with respect to y.
6*l*y**2 - l + 17448*y + 1
What is the first derivative of -207*f**4*n**2 + 23*f**4*n + 2*n**2 - 2442*n - 3 wrt f?
-828*f**3*n**2 + 92*f**3*n
Find the third derivative of -12*j**4 - 79*j**3 + 33788*j**2 wrt j.
-288*j - 474
What is the third derivative of 62*z**4 - 47271*z**3 - z**2 - 533147*z?
1488*z - 283626
What is the third derivative of 40*k**2*z**4 + 7*k**2*z**2 - 3*k*z**3 - 46772*k*z**2 + 4019*z**4 - 3*z**2 wrt z?
960*k**2*z - 18*k + 96456*z
What is the second derivative of -5319659*w**2 - 3574*w + 266?
-10639318
Find the second derivative of -350*f*s**3 + 25*f*s**2 - 172383*f*s - s**3 wrt s.
-2100*f*s + 50*f - 6*s
What is the third derivative of 10*m**3*s*x**3 + 7*m**3*s*x + 5*m**2*s*x**3 - 480*m*s*x**2 - m*s*x - 21*s*x**3 wrt x?
60*m**3*s + 30*m**2*s - 126*s
Find the second derivative of -4417031*k**2*z**2 - 106*k*z**2 + 15*k*z + 33*z**2 + 2*z wrt k.
-8834062*z**2
What is the first derivative of 4273637*s**4 - 1115781 wrt s?
17094548*s**3
What is the second derivative of 360942*d*l**2*w + 2*d*l*w + 2*d*l + 19888*l wrt l?
721884*d*w
Find the third derivative of -8*q**6 - q**5 - 6*q**4 - 3*q**2 - 3*q + 18592.
-960*q**3 - 60*q**2 - 144*q
Differentiate -190*a*o**3 + 324*a*o - 2*a + 2*o**3 + 112417 with respect to o.
-570*a*o**2 + 324*a + 6*o**2
What is the third derivative of -59*s**6 - 4747*s**4 - 215*s**2 + 126*s + 3 wrt s?
-7080*s**3 - 113928*s
What is the derivative of -63899*q**3 + 317686?
-191697*q**2
What is the third derivative of -742177*b**4 + b**3 + 5*b**2 - 2*b - 8898?
-17812248*b + 6
What is the derivative of -88623*f**4 + 71887?
-354492*f**3
What is the derivative of 138533*v**2 - 1721267?
277066*v
What is the third derivative of -2329740*n**3*x**3 - 3*n**2*x**3 + 38064*n**2 wrt n?
-13978440*x**3
What is the third derivative of -13232*m**3*x**3 - 74*m**3*x + 67*m**2 + m*x**2 wrt x?
-79392*m**3
Find the second derivative of -2940*c**5 + 560*c**2 - 5968323*c.
-58800*c**3 + 1120
Find the second derivative of -117*b**3*n**3*y**2 - 2*b**3 - b**2*n**3*y + 2*b**2*n**3 - 2*b**2*y - 23*b*n**3*y**2 - 95*b*y wrt y.
-234*b**3*n**3 - 46*b*n**3
Find the second derivative of 445409*k*x*y**3 - 2*k*x*y + 133938*k*y - 2*x*y**3 + 2*x*y + y**3 wrt y.
2672454*k*x*y - 12*x*y + 6*y
Differentiate -1055*d**2*y + 3*d**2 - 2*d*w**2*y - 2*w**2*y - 1534*w**2 - w wrt y.
-1055*d**2 - 2*d*w**2 - 2*w**2
Differentiate d*p**2 + 127*d*p - d + 19271*p**2 wrt d.
p**2 + 127*p - 1
Differentiate -4125777*i**2*r + 4070696*i**2 with respect to r.
-4125777*i**2
What is the second derivative of 17*u**3*z - u**3 - 6767*u**2 - 21553*u*z - 4*u wrt u?
102*u*z - 6*u - 13534
What is the second derivative of 14*c**4 + 727*c**3 - c**2 - 49750*c + 17?
168*c**2 + 4362*c - 2
Find the second derivative of -40604*h**2 - 2*h + 106.
-81208
What is the first
|
{
"pile_set_name": "DM Mathematics"
}
|
0. Round v to the nearest 10000.
10000
Let u = -7197026.989405 - -7197049. Let w = u + -19.0106. Let y = w - 3. Round y to five dps.
-0.00001
Let z = 0.499 - 88.449. Let q = 7.35 + z. Let f = q - -74. Round f to 0 decimal places.
-7
Suppose 3*k - 9 = -54. Let u = -10 - k. Suppose u*f = -348 + 98. What is f rounded to the nearest 100?
-100
Let j = -275.092 - -274. Let w = j + -0.028. Round w to one decimal place.
-1.1
Let t = -1.9 + -0.1. Let a = 5025 + -5023.00005. Let v = t + a. What is v rounded to four decimal places?
-0.0001
Let y = 1.450000075 - 1.45. Round y to seven dps.
0.0000001
Let v = -967 + 657. What is v rounded to the nearest one hundred?
-300
Let k(q) = 38*q**2 - 4*q + 1. Let d be k(-8). Suppose d = 2*z + 2*m + 3*m, 1231 = z + m. Round z to the nearest one hundred.
1200
Let f = -7.2 - -7.19999949. Round f to seven dps.
-0.0000005
Let v = -5.645 - 0.055. Let h = v + 6.16. What is h rounded to 1 dp?
0.5
Let f = 30.1 + -1.1. Let h = -50 + f. Let w = -18.8 - h. Round w to zero dps.
2
Let a = -0.83 + -9.27. Let i = a - -1.7. What is i rounded to the nearest integer?
-8
Suppose 5*t + 44839197 = -42661013. Let i = 30691407 - 20391365. Let o = i + t. What is o rounded to the nearest 1000000?
-7000000
Let f = -110392170 + 110392170.200577028. Let b = 97.799475972 + f. Let t = 98 - b. Round t to 5 dps.
-0.00005
Let a be 50/4*20/25. Let z = 15 - a. Suppose -4*o = 4*j + j + 324, z*j = -5*o - 325. Round j to the nearest ten.
-60
Suppose 3*t + t = -3*x + 117812, -3*x + 117772 = -4*t. Let y = 17764 - x. Round y to the nearest 1000.
-22000
Let d = -19.8 + 4. Round d to zero dps.
-16
Suppose 6*q - 300000 = 3*q. Round q to the nearest ten thousand.
100000
Let j = 17.007 - 17. Let d = 0.0022 + j. Round d to three decimal places.
0.009
Let w = -101 - -100.99999919. Round w to seven dps.
-0.0000008
Let y = 1464978.1 - 1464962.100059. Let x = y + -16. What is x rounded to five decimal places?
-0.00006
Let x(f) = -f. Let l be x(-5). Suppose 2*r - l*r - 180 = 0. Let m be -3500*(-7)/((-21)/r). What is m rounded to the nearest 10000?
70000
Let p = 195.0147 - 195. What is p rounded to 3 dps?
0.015
Let v = 735 + -515. Let n = -219.903 + v. What is n rounded to 2 decimal places?
0.1
Suppose 0 = -5*q - 2949 + 219. Let t = -1666 - q. Round t to the nearest one hundred.
-1100
Let g be ((1*20)/(-2))/(6/(-252)). What is g rounded to the nearest one hundred?
400
Let x = 21.448 - 7.42. Let s = x + -14. What is s rounded to two dps?
0.03
Let x = -51.0058 + 51. Round x to 3 decimal places.
-0.006
Let a = 15.09 - 15. Let l = -7.11 - a. Round l to the nearest integer.
-7
Let c = -14205 + 27005. Suppose -c = w + 3*w. What is w rounded to the nearest 1000?
-3000
Let w = -585.3012 - -584. Let f = w + 1.3. Round f to three dps.
-0.001
Let l(o) = 700*o**2. Let f be l(-6). Suppose 3*v + v = f. Suppose 4*u = u + v. Round u to the nearest 1000.
2000
Let l = -3.54 - -3.6. Round l to two decimal places.
0.06
Let r = 2160674 - 1108674. Round r to the nearest 100000.
1100000
Let v(s) = -s + 1. Let g be v(0). Let p(j) = 2455*j + 1 + 6706*j - 1062*j. Let f be p(g). What is f rounded to the nearest 1000?
8000
Let g be (-2)/16 + (-28180218)/48. Let z = -4087088 - g. Round z to the nearest one million.
-4000000
Let h = -16754820.11 - -16652823. Let x = 102009.109982 + h. Let g = 12 - x. Round g to five dps.
0.00002
Suppose 0 = -m + 4*m. Suppose -5*l - 3*o - 479991 = m, 383985 = -3*l - l - 5*o. What is l rounded to the nearest ten thousand?
-100000
Let s = -6651.43258 + -0.61742. Let n = -6632.04884 - s. Let t = -20 + n. What is t rounded to four dps?
0.0012
Suppose 1591228 + 1378772 = 5*c. Round c to the nearest 10000.
590000
Let r(t) = -19430*t + 10. Let y be 6 - (1 - -3)/(-4). Let v be r(y). Round v to the nearest ten thousand.
-140000
Let b = 73.3947 + -67.663. Let s = b + 0.2533. Let u = 6 - s. Round u to 2 decimal places.
0.02
Let t = -2.458 + -0.042. What is t rounded to zero dps?
-3
Suppose -3*p + p = -5*a + 5340, 5*p - 1068 = -a. Let r(t) = -504*t + 1361*t + a*t. Let g be r(4). Round g to the nearest 1000.
8000
Suppose -z = -3*d - 21389, -5*z + z = -5*d - 85549. Let y = -67386 + z. What is y rounded to the nearest ten thousand?
-50000
Suppose 0 = -3*w - 0*w + 45. Let m = w - 10. Suppose m*d + 90 = 4*j, -6*j - 3*d + 74 = -2*j. What is j rounded to the nearest 10?
20
Let n = -0.09 + 5.69. Let u = 0.1 - n. Round u to 0 dps.
-6
Let s = 0.082444 - -3.715856. Let x = 3.8 - s. Round x to 4 decimal places.
0.0017
Let g = -0.022 + 0.0075. Round g to three decimal places.
-0.015
Suppose -y + 0*y + 5092068 = 3*b, -10184141 = -2*y - 5*b. Suppose 2*o = -o + y. Let f = o - -7802639. What is f rounded to the nearest 1000000?
10000000
Let q = -181 - -180.17. What is q rounded to one dp?
-0.8
Let o(j) = -557*j + 55*j - 1 + 14*j. Let h be o(-2). Let a = 1975 - h. Round a to the nearest one hundred.
1000
Suppose -i = -2*z + 4*i + 5634, -4*i + 14052 = 5*z. Suppose -3*f = -5*v + f - z, -2*f = 2*v + 1114. What is v rounded to the nearest 100?
-600
Let g = 58066.8692 + -58054. Let u = g - -0.0928. Let m = -0.062 + u. Round m to the nearest integer.
13
Let v = -6557 - -3897. Round v to the nearest 1000.
-3000
Suppose 0 = 5*m + 4*r - 470020, 0*m - 93975 = -m + 5*r. Round m to the nearest 10000.
90000
Suppose 2 - 5 = -n. Let k be 3466666*n + 14/7. What is k rounded to the nearest 1000000?
10000000
Suppose 0*f = 5*f - 20. Suppose -4*c - f = 8, -2*r - 3*c = 12809. What is r rounded to the nearest one thousand?
-6000
Let i = 64.00078 + -64. Round i to 4 decimal places.
0.0008
Let a(b) = -b**2 + 14*b - 13. Let m be a(10). Let q be ((-7200)/m)/((-2)/(-10275)). Round q to the nearest 100000.
-1400000
Let o = 0.648 - 0.6479741. What is o rounded to 6 dps?
0.000026
Suppose 5*j - 9*j = 16. Let f be j/(-5) - (-5)/25. Let o be 100*(-1503 - (-4 + f)). What is o rounded to the nearest one hundred thousand?
-200000
Let a = -151928 + 83928. Round a to the nearest ten thousand.
-70000
Let j(d) = d + 1. Let f(c) = 5*c + 7. Let q(a) = 3*f(a) - 21*j(a). Let z be q(-1). Let n be z/3 - (-2097 + -1). Round n to the nearest one thousand.
2000
Let p be (-2)/(-5) + 46/10. Suppose -4*y + 2*y = -4*q - 4, -y + 3*q = -p. Let i be (-1139994)/(-15) + y/(-10). What is i rounded to the nearest ten thousand?
80000
Let z = 0.05 + -0.0500001. What is z rounded to six dps?
0
Let j = 6 - 2. Let w be (2*66838)/(2/j). Suppose -4*h - w = 452648. What is h rounded to the nearest 100000?
-200000
Let g = -103 - -103.3. Round g to one decimal place.
0.3
Let s = 2035 + -800. Suppose 2785 = -2*m - s. Round m to the nearest one hundred.
-2000
Let w be ((-306)/(-4))/((-2)/8). Let z = -817 - w. Let q = z + 1061. Round q to the nearest 100.
600
Let s = -22.976 - 0.024. Let o = -23.0072 - s. Round o to 3 decimal places.
-0.007
Suppose 78009 = 5*u + 3*z, 3*u + z = 39358 + 7445. Suppose -2*p + 4*p - u = 0. Round p to the nearest one thousand.
8000
Let z = -73 - -73.0057. Round z to 3 decimal places.
0.006
Let x = 0.048 - 0.08. Let b = 1 - 0.94. Let q = x + b. Round q to two dps.
0.03
Let c be 1/2*(14 - 2). Let o = -28 - c. Round o to the nearest ten.
-30
Let k = 17.65 - 18. Let v = k + -41.65. Let h = v - -53.2. Round h to the nearest integer.
11
Let q = -151.0000061 - -151. What is q rounded to 6 dps?
-0.000006
Let g = -148 + 216. Let i = -0.0915853188 - -68.0915790188. Let k = g - i. What is k rounded to 6 decimal places?
0.000006
Let j(q) = -211111*q**3 - 2*q - 3. Suppose 5*f = -l - 19, l - 4*f - 13 = 4*l. Let b be (-2)/4*(5 + l). Let z be j(b). Round z to the nearest one million.
6000000
Let p = 8.19 + -8. Let a = -153.84 + 154.03026. Let f = p - a. Round f to 4 decimal places.
-0.0003
Let m = -793.34774 - 27429.65676. Let s = -28213 - m. Let p = 10 - s. What is p rounded to 3 decimal places?
-0.005
Let t = -21.9958 - -22. What is t rounded to three dps?
0.004
Suppose u = -u + 4. Suppose -343 - 1657 = -u*t. What is t rounded to the nearest 10000?
0
Suppose 3*t + 1 = -5*c, 5*c + 13 = t - 0*t. Suppose -2*j + 335996 = -4*y, 5*j + 252004 = -3*y + t*j. Round y to the nearest 10000.
-80000
Let r = -1329728 - -3179728. Round r to the nearest one hundred thousand.
1900000
Let q = 401141.21349 - 401143. Let l = 0.21349035 - q. Let u = l + -2. Round u to
|
{
"pile_set_name": "DM Mathematics"
}
|
h(y(c)).
-20*c**2
Let n(i) be the first derivative of -2*i**3 - 1. Let z(l) = 22*l**2 + 12. Let j(r) = -8*r**2 - 5. Let w(s) = -12*j(s) - 5*z(s). What is w(n(b))?
-504*b**4
Let h(p) be the third derivative of 41/8*p**4 + 0*p + 0*p**3 - 24*p**2 + 0. Let r(u) = u. Determine h(r(f)).
123*f
Let r(k) = 31*k**2. Let g(o) = 102678*o. Determine r(g(c)).
326825922204*c**2
Let r(i) = -4093*i**2. Let b(a) = 507*a. Determine r(b(t)).
-1052101557*t**2
Let j(v) = 172325*v**2. Let c(k) = -1462*k. Determine j(c(l)).
368335037300*l**2
Let k(h) be the second derivative of -h**4/3 - h**3 + 26*h. Let o(d) = -8*d**2 - 13*d**2 - 11*d**2 + 29*d**2. Give k(o(q)).
-36*q**4 + 18*q**2
Let w(d) = 2461363 - 2461363 - 2194*d. Let f(r) = 2*r**2. What is f(w(m))?
9627272*m**2
Let j(x) be the second derivative of -x**4/12 - 1715*x. Let v(s) = -s**3 + 6*s**2 - 2*s. Let q be v(5). Let p(l) = 12*l + q*l + 9*l. What is j(p(f))?
-1296*f**2
Let r(j) = -2387*j. Let l(u) = 379 - 130 - 125 - 2*u - 124. Determine l(r(d)).
4774*d
Suppose -4*y = -0 - 12. Suppose 5*n + c = 39, 18 = y*n + 5*c - 23. Let k(w) = -n*w + 5*w + 3*w. Let j(o) = -2*o**2 - 59. What is j(k(m))?
-2*m**2 - 59
Let a(q) = q**2. Let n(t) = 136*t - 69*t - 57*t + 19. Let z(w) = -9*w - 17. Let o(v) = -6*n(v) - 7*z(v). Calculate o(a(m)).
3*m**2 + 5
Let c(s) = -15*s**2 + 258*s - 10. Let g(j) = -18*j**2. Give c(g(v)).
-4860*v**4 - 4644*v**2 - 10
Let n(a) = -2*a - 17. Let y(z) = -285*z - 2295. Let f(b) = -270*n(b) + 2*y(b). Let t(c) = 11*c. Give f(t(l)).
-330*l
Let l(q) = -12*q - 4. Let h(z) = 23*z + 10. Let r(n) = 2*h(n) + 5*l(n). Let m(a) = -a + a - 6*a - 3*a - 6*a. Calculate m(r(u)).
210*u
Let f(i) = -8*i - 4. Let y = -690 + 692. Let d(v) = 5*v - 6*v + y*v + 4*v + v. Give d(f(m)).
-48*m - 24
Let l(x) = 33*x. Let b(t) be the first derivative of 54*t**2 + 2494. Give l(b(m)).
3564*m
Let l(a) = 9*a**2 + 6*a**2 - 26*a**2 - 9*a**2 - 8*a**2. Let t(j) = -56*j. What is t(l(x))?
1568*x**2
Let f(n) = -170*n**2 + 2*n - 8683. Let d(o) = -7*o**2. Give f(d(a)).
-8330*a**4 - 14*a**2 - 8683
Let w(s) = 7*s**2. Let a(p) = 53*p + 689. Let r be a(-13). Let j(g) be the second derivative of -g + r + 0*g**2 - 1/2*g**3. Calculate w(j(k)).
63*k**2
Let f(h) = 13*h. Suppose 4*g - 54 - 28 = -5*t, -48 = -3*t - 3*g. Let j(n) = 8 + 2*n - 8 - t*n + n. Give j(f(p)).
-195*p
Let k(m) = -4*m - 7*m + 15*m. Let v(j) = 9*j - 3. Let d(z) be the third derivative of -z**4/3 + z**3/3 + 7*z**2. Let y(l) = 3*d(l) + 2*v(l). Calculate k(y(g)).
-24*g
Let b be (-3)/(-5) + 24/10. Let k(y) = -15*y + b + 24*y - 8*y - 3. Let x(f) = 44*f. Determine k(x(h)).
44*h
Let f(l) = -4*l. Let p(r) = 101768*r**2 + 25*r + 1. What is p(f(v))?
1628288*v**2 - 100*v + 1
Let d(l) = 29*l. Let q(v) = 14922*v - 21. Determine q(d(g)).
432738*g - 21
Let a(g) = 2*g. Let u(j) = 147973*j**2 - 6*j + 47. Calculate a(u(z)).
295946*z**2 - 12*z + 94
Let o(l) = 92*l - 185*l - 178*l. Let f(c) = 5*c**2. Determine o(f(z)).
-1355*z**2
Let k(h) = -21*h. Suppose 105 = 3*g - 318. Let n = g + 3. Let r(y) = 2*y - 144 + n. Determine r(k(p)).
-42*p
Let t(u) = 695*u**2. Let a(r) be the first derivative of -r**3/3 + 2433. Give a(t(v)).
-483025*v**4
Let u(j) = -3*j**2. Let p(v) = 41126124*v**2. Calculate u(p(y)).
-5074074225790128*y**4
Let d(s) = -1596395*s**2. Let u(f) = f**2 + 133. Give u(d(r)).
2548476996025*r**4 + 133
Let k(h) = 2*h**2 - 3*h. Let a(y) be the third derivative of -y**5/30 + y**4/12 + 84*y**2. Let f(d) = 3*a(d) + 2*k(d). Let v(m) = -4*m - 3. Give f(v(g)).
-32*g**2 - 48*g - 18
Let z(r) = -2*r**2 + 8. Let b(n) = -129*n - 130*n + 409*n - 5*n**2 - 150*n. What is z(b(x))?
-50*x**4 + 8
Let s(i) = 14*i**2 - 2. Let o(p) = 10443*p. What is o(s(a))?
146202*a**2 - 20886
Let r(o) = -2*o - 4. Let b(v) = 4*v - 5. Let t(a) = 2*b(a) - 3*r(a). Let g(i) = 42*i - 2. Determine t(g(x)).
588*x - 26
Let m = 651 - 440. Let h(t) = 80*t + 73*t + 81*t - m*t. Let s(n) = -n**2. Calculate h(s(i)).
-23*i**2
Let v(g) be the first derivative of 63*g**2/2 + 1538. Let w(o) = -6*o**2. Calculate w(v(r)).
-23814*r**2
Let g(y) = 2*y**2. Let p(h) be the first derivative of 11*h**5/60 + 81*h**2/2 + 90. Let l(s) be the second derivative of p(s). What is g(l(n))?
242*n**4
Let z(l) = -l - 4*l + 4*l. Let j be ((-18)/(-5))/(62/775). Let w(h) = 34*h + 44*h + j*h - 145*h + 54*h. Determine w(z(r)).
-32*r
Let c be (-1)/(-2)*(2 - (1 - -1)). Let j(h) = 5 + c + 41*h - 23*h - 26*h. Let m(w) = 4*w**2. Determine m(j(x)).
256*x**2 - 320*x + 100
Let d(t) = 226165*t. Let u(j) = -j**2 + 16*j. Calculate u(d(p)).
-51150607225*p**2 + 3618640*p
Let p(d) = 2*d. Let m(b) = 4*b - 123 - 154 + 237. Let w(h) = 3*h - 27. Let j(q) = -5*m(q) + 7*w(q). Give p(j(s)).
2*s + 22
Let s(r) be the second derivative of r**3/3 + 40*r - 10. Let b(q) = -8*q - 11. What is s(b(a))?
-16*a - 22
Let q(k) = -24*k**2 + 0 + 0. Let x(v) be the second derivative of 5*v**3/6 + v**2 - 333*v. Let r(s) = -24*s - 9. Let t(l) = 2*r(l) + 9*x(l). Give t(q(o)).
72*o**2
Let m(i) = 212353*i + 1917. Let r(s) = -2*s**2. Determine m(r(v)).
-424706*v**2 + 1917
Let x be (-1 + 6/9)*-9. Let q(o) = -x*o - 4*o + 8*o. Let k(h) be the third derivative of 3*h**5/20 + 586*h**2. Determine q(k(p)).
9*p**2
Let n(y) = -5*y - 132. Let t(z) be the third derivative of -z**5/10 + 3*z**2 + 68*z - 9. Calculate t(n(m)).
-150*m**2 - 7920*m - 104544
Let m(x) = -2*x. Suppose -16*u + 14*u + 92382 = 0. Let n(i) = -u + 46191 + 2*i + 7*i**2. Determine m(n(a)).
-14*a**2 - 4*a
Let r(l) = -11168*l. Let a(d) = -d**2 + 116*d - 1. What is r(a(x))?
11168*x**2 - 1295488*x + 11168
Let m(h) = -10*h**2. Let i(u) be the second derivative of -11*u**4/24 + 65*u**2/2 + 106*u. Let o(d) be the first derivative of i(d). What is m(o(c))?
-1210*c**2
Let n(w) = 3*w + 56. Let k(q) = -11*q + 2. Let s(b) = -67*b + 12. Let g(x) = -6*k(x) + s(x). Give g(n(o)).
-3*o - 56
Let j(k) be the first derivative of 33*k + 1/2*k**2 + 44. Let p(u) = 5*u**2. Give p(j(c)).
5*c**2 + 330*c + 5445
Let y(q) = 8*q**2. Let o(p) = 30631782*p. Calculate y(o(n)).
7506448547964192*n**2
Let r(g) = 657826*g. Let m(x) = 318*x**2. What is r(m(y))?
209188668*y**2
Let n(s) = 4*s - 2. Let u(h) = -1 - 5*h + 2 + 2. Let c(k) = 3*n(k) + 2*u(k). Let o(l) be the third derivative of 3*l**5/20 + l**2. Give o(c(i)).
36*i**2
Let w(l) = -15829350*l + 12168*l**2 + 15829350*l. Let a(k) = -2*k**2. Calculate a(w(q)).
-296120448*q**4
Let g(a) = a**2 - 14. Let d be (16/(-24))/(2 + 31/(-15)). Let f(y) = 29*y - d*y - 9*y - 13*y. What is g(f(r))?
9*r**2 - 14
Let b(x) = 36403228*x. Let o(f) = -22*f. Give o(b(c)).
-800871016*c
Let o(f) = 43*f + 18. Let q(h) = 4*h + 1. Let p(m) = 20*m + 4. Let j(g) = -p(g) + 4*q(g). What is o(j(z))?
-172*z + 18
Let n(b) = 4*b. Let c(h) be the first derivative of h**5/6 - 57*h**2 + 128. Let w(i) be the second derivative of c(i). What is n(w(a))?
40*a**2
Let g(l) = -5*l. Let x(b) be the first derivative of -301*b**2/2 + 1408. Determine g(x(k)).
1505*k
Let n(z) = -z**2 - 5*z. Let l(j) = j - 518576. Give l(n(c)).
-c**2 - 5*c - 518576
Let v(k) = -11*k. Let p(w) = -9*w**2 + 67. Let c(y) = 8*y**2 - 66. Let z(t) = 3*c(t) + 2*p(t). Let x(l) be the first derivative of z(l). What is v(x(r))?
-132*r
Let w(j) = -1245 + 8*j + 1245. Suppose 0 = -5*y + 2*q + 684, 0 = -3*q + 7*q - 12. Let u(p) = -p**2 - 138 + y. Determine u(w(o)).
-64*o**2
Let x(r) = 2*r. Let u(n) = 2*n**2 - 2129*n + 1. Let s(q) = 4*q**2 - 4217*q + 1. Let j(y) = -4*s(y) + 7*u(y). Calculate j(x(a)).
-8*a**2 + 3930*a + 3
Let a(b) = -2*b + 50. Suppose 50 = -4*f + 14*f. Let w = f + 5. Let x(h) = -6*h**2 + w*h**2 - 4*h**2 - 2*h**2. What is x(a(u))?
-8*u**2 + 400*u - 5000
Let x(w) = -w**2. Let k(c) be the second derivative of 29*c**6/720 - c**4/12 - 43*c**2/2 + 38*c. Let a(v) be the third derivative of k(v). Determine a(x(t)).
-29*t**2
Let z(a) = 3*a - 1 - 5 + 1 + 5. Let w(g) = g**2 - g - 2. Let i(d) = 41*d**2 - 7*d - 12. Let x(l) = i(l) - 6*w(l). Determine z(x(o)).
105*o**2 - 3*o
Let g(m) = -2024*m**2 + 92*m. Let z(h) = 38*h + 1. What is z(g(i))?
-76912*i**2 + 3496*i + 1
Let b(s) = -25*s**2 + s - 284. Let n(i) = 130*i**2. What is b(n(h))?
-422500*h**4 + 130*h**2 - 284
Let y(c) = 20*c**2 + c. Let d(l) be the second derivative of -l**6/360 + 59*l**3/6 + 3*l - 2. Let a(b) be the second derivative of d(b). Determine a(y(j)).
-400*j**4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
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