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0, u = -5*l + 3*m + m - 8 for l.
0
Let v = -18 - -20. Solve -2*r + 2*a = v, 0 = -2*r - 3*a - 4 - 3 for r.
-2
Let m(i) = -i + 14. Let y be m(10). Let a be 2 + y - (-1 - -2). Solve -4*f - 6 = b - 3*f, -a*b + 2 = -3*f for b.
-2
Suppose 3*l + 2 = l, l + 1 = 2*j. Suppose -2*o + j*o = -6. Suppose -5 + 16 = -2*i + 5*r, 20 = 5*i - o*r. Solve i = 2*d - 3, 3*s - d = -20 for s.
-5
Let o be ((-3)/9)/((-1)/12). Suppose 7*t - 3*t - 92 = 0. Solve -t = -o*p + 4*n + 9, 5*p = -n + 22 for p.
5
Suppose 3*r = 6*r - 6. Suppose -4*j + 4 = -r*j. Suppose -3*x + 8 = j. Solve -6 = 2*y, -x*k - 2*k = -4*y - 32 for k.
5
Let c(h) be the second derivative of -h**3/2 + h**2/2 - 2*h. Let n be c(-5). Solve b = -3*b - n, 4*k + 2*b + 20 = 0 for k.
-3
Let i(g) = -2*g**3 + 29*g**2 + 16*g - 10. Let o be i(15). Solve -2*q = -5*c + 1, -4*c + c + o*q = -12 for c.
-1
Let p = -32 - -23. Let s = p - -11. Solve 5*v = -4*x - 2, 0*x + s*x = 5*v - 16 for x.
-3
Suppose 0 = f + 4*f. Solve -2*h - 4*b = -7*h + 23, f = 5*h + 4*b - 7 for h.
3
Let u be (-18)/10*30/(-6). Solve -5*i + 0*i - t = u, 5 = -2*i + t for i.
-2
Let q(f) = 3*f + 12. Let l be q(0). Solve -4*k = l, 0 = -5*p - 2*k - 1 - 30 for p.
-5
Suppose 0 = 5*r + 25, -3*w + 3*r + r = -56. Solve -4*g = 3*h + 12, 0*g = 3*h + 3*g + w for h.
-4
Suppose 2*y + 5*p + 41 = -2*y, 5*y = 4*p - 41. Suppose 2*g - 27 = 5*g. Let d = y - g. Solve -4*x + 4 - 5 = w, d = 3*x for w.
-1
Suppose -4 = c - 5*l, 0*l + 2*l - 22 = -3*c. Solve 0 = 4*y + 5*p + c, 2*y - 2*p + p + 10 = 0 for y.
-4
Let z = 1 + 2. Let w be 0/2 + (-1)/1. Let i = z - w. Solve -2*s = 4*j + i, 9*s - 20 = 4*s for j.
-3
Suppose 4*h + 12 = 8*h. Solve 3*m = 3, 2*m - h = -3*b - m for b.
0
Let u be 8/(-12) + (-58)/(-6). Let t(w) = -w**2 + 5*w - 2. Let v be t(2). Let z be -1*5/(-10)*1*4. Solve v*k - 4 = -2*y - 0, k = z*y - u for k.
-1
Let h = -8 - -8. Suppose h = -x - x. Suppose x*y = y - 3. Solve w + y = 5*v - 17, 5 = -2*w + 3*v for w.
5
Let a be 3 - 2 - (-36)/9. Solve 4*f + f - a = 0, 4*f + 2 = 3*h for h.
2
Let c(j) be the first derivative of j**3/3 - 3*j**2 - 2*j + 2. Let l be c(7). Solve h = -5*u + 17 + 6, l*u - 29 = -3*h for h.
3
Let j be (-1 + 7)*(-1)/(-2). Suppose j - 6 = 3*z. Let p = 11 - z. Solve 4*s + 2 + p = 2*n, 0 = 3*n - 4*s - 19 for n.
5
Let i = 18 - 13. Suppose d + 93 = -0*w - i*w, -9 = 3*d. Let s be (6/(-9))/(4/w). Solve 0*o = z - s*o + 14, 4*o - 25 = -5*z for z.
1
Let c = 7 - -2. Suppose c*h - 9 = 6*h. Solve -50 = 5*d - 5*q, 8*q - h*q = -2*d + 15 for d.
-5
Let x(w) = -w**2 + 4. Let a = 1 - 1. Let s be x(a). Let i(z) = -z + 20. Let d be i(15). Solve -4*p - 11 = -3*f, -7 = -s*f + d*p + 8 for f.
5
Let c = 17 - 13. Solve -20 = -c*x, -4*x = -3*v - 2*x - 7 for v.
1
Let q(w) = -w**3 - 2*w**2 - 6*w - 5. Let p be q(-3). Solve -5*d - 2*i - 20 = 0, d - p + 9 = 3*i for d.
-2
Suppose 0 = 4*y + y - 65. Solve -3*o = -p + y, -4*o + o = 4*p + 23 for p.
-2
Suppose -3*z = 5*g + 12 - 4, 8 = 2*z. Let i be (-6)/12*g/(-2). Let w be (3/(-3))/i + 3. Solve -u + w*s - 19 = 0, 7*s - 2*s - 29 = -4*u for u.
1
Let o = -218 - -223. Solve o*k = 2*t + 7, 18 + 2 = 2*t + 4*k for t.
4
Let s(i) = 2*i - 8. Let y(d) = d**2 - 4*d + 4. Let w be y(4). Let o be s(w). Solve 2*m = 0, m = 3*l - o*m - 12 for l.
4
Suppose p = 5*p. Suppose p = 3*s + 5*y + 10, -y = -2*s + 1 + 1. Let d be s/(3/((-3)/(-1))). Solve 7 = c + 2*h - 2, d = 4*h - 8 for c.
5
Suppose -60 = -3*n - 3*n. Suppose 77 = 4*s + 5*i - 41, 5*s = 2*i + 164. Suppose 2*p - n = s. Solve 13 = 5*w + 3*c, -4*w - 2*c = 9 - p for w.
5
Let q(f) = f**2 - 7*f - 6. Let x be q(8). Solve -5*d + 3*l = 21, -x*d = -2*l + 13 - 3 for d.
-3
Let y = 19 + -14. Let h = 1 - -1. Solve h*m + 45 = y*c - 3*m, -3*c + m = -17 for c.
4
Let t be (-1 + -2 - 7/(-2))*12. Solve -p - y + 3 = 2, -4*y + t = 3*p for p.
-2
Suppose -a = -2*a + 4. Solve 3*t - a*n - 27 = 0, n + 17 + 1 = 3*t for t.
5
Suppose 3*j = 6*j. Suppose -2*k + 3*q + 1 + 14 = j, -15 = 3*q. Let s(b) = 3*b**2 - 5*b - 3. Let a be s(4). Solve c + 3 = 2*o - 7, 5*o - c - a = k for o.
5
Suppose y + 2*b = -3*y + 14, -5*b + 15 = 0. Let q(v) = v + 13. Let w be q(0). Solve 19 = 3*a + 2*o, o - y*o - w = -3*a for a.
5
Let o(w) = 9*w - 58. Let v be o(7). Let b = 1 + -4. Let x = 1 - b. Solve v*g - 16 = g + 3*j, -8 = -2*g - x*j for g.
4
Let c be 0 + -3 - (0 - 4). Solve 4*i + 5*q = -26, c + 5 = -i - q for i.
-4
Let z be 0 + -1 + 1*4. Let r(m) = -m**2 + 2*m. Let c be r(2). Suppose 5*s + c*s = 10. Solve 5 = -5*x + q + 4*q, -z*x + s*q - 6 = 0 for x.
-4
Let o = -90 - -93. Solve -5*n - 3*t = -26, -2*n = 2*n - o*t - 10 for n.
4
Suppose 5*h - 18 = 2. Solve 4*i + i - 10 = 3*r, -3*r - h*i = 19 for r.
-5
Let u be 8/3 + 16/(-24). Solve 0 = 3*h - 2*l - 5, 3 = 2*h - u*l - 1 for h.
1
Let j be 3/5 + 2/30*6. Solve p - 2*c = -4, -3*p + 3 = c + j for p.
0
Suppose 0*h + 5 = h. Let l = -4 + 1. Let i(w) = w**3 + 3*w**2 - w - 1. Let u be i(l). Solve 23 = r - 3*a - u*a, -h = a for r.
-2
Let b = -7 + 12. Suppose -26 = -b*j - a, 2*j - 4*a + 1 = 7. Let n be (2 + -6)*5/(-4). Solve -5*r = -j*t - 25, -n*t - 3*r + 10 = -r for t.
0
Let i be 2/(-3) + (-66)/(-18). Suppose -4*p = g + p - 3, -3*g + 25 = -p. Suppose 2*n + 0 = g. Solve o + 13 = -n*q, 13 = -4*q - i for o.
3
Suppose -3*m = -4*m + 6. Suppose 2*g - 7*o + 2*o - 11 = 0, 0 = g + 5*o + 2. Solve 2*k + 7 = 3*z, 9 = g*k - m*k + 4*z for k.
1
Let m = -1 + 2. Suppose -9 = -4*s - m. Solve -4*l + 8 = -5*z, -4*z + s*l + 2*l = 8 for z.
0
Let l(v) = v**3 + 6*v**2 - 7*v + 2. Let c be l(-7). Let k = 0 + 0. Solve -3*o - 7 = -5*m, -2*o - c = -2*m - k*m for m.
2
Let d(h) = 14*h - h**2 - 1 - h - 7. Let s be d(12). Solve -4*k + 3 = -3*m - 7, 2*k + s*m - 16 = 0 for k.
4
Let c(r) = -r + 1. Let m be c(-3). Let q(u) = 2 + 2*u**2 + 0 - 3 + 2*u**2. Let l be q(1). Solve 0 = l*j + 6*t - t - 10, m*j = -4*t + 8 for j.
0
Let o be (10/6)/((-2)/12). Let p = o - -18. Suppose -5*q + p + 52 = 0. Solve 3*d + q = 3*j, -2*d + 17 = -2*j + 5*j for d.
1
Suppose 0 = f + f. Solve 5*z - 22 = -2*o + 1, f = 4*o - 16 for z.
3
Let d = 10 + -5. Solve -10 = -2*n - k, 2*k + d = n - 0*n for n.
5
Let x be (-3 - -9)*(-6)/(-4). Suppose -2*m = 2*m - 5*w - 15, 4*m + 3*w + x = 0. Solve 5*h - 2 - 3 = m, -5*k + 3*h = -22 for k.
5
Suppose -t = 15 - 17. Solve f = 4*u + 14, t*f = -f - 6 for u.
-4
Let x = -3 + 5. Solve 9 = -5*l + 3*c + 30, -8 = -4*l - x*c for l.
3
Suppose 2*t + 2*t = s - 19, 0 = -5*s - 5*t - 5. Suppose -7 + 1 = -h. Solve -s*o - 20 = q, -h*o = -2*q - o + 15 for q.
-5
Let o(s) = -2*s - 1. Let q(y) = -y. Let k(v) = o(v) - 3*q(v). Let i be k(3). Solve i*l + f - 6 = 0, -4*l - 2*f = 3*f for l.
5
Suppose 3*j + 2 + 10 = 0, 0 = -2*n - j + 4. Let s be (2*-2)/4 + n. Solve -5*f - 2*k = -4*k - s, -2*f = k - 3 for f.
1
Let s = 27 + -17. Let a be 174/10 - 4/s. Solve 4*k = -f + 15, -4*f = -3*k + a - 1 for k.
4
Let s(t) = -t**3 + 4*t**2 - 2*t + 5. Let z be s(4). Let x = 7 + z. Solve 5*k = -4*p + 6, p + 2*k - x = -1 for p.
-1
Let v = -9 - -14. Let p(y) = -y + 3. Let j be p(4). Let n be 2 - (1 + j) - -8. Solve 5*c = 3*c + n, 4*c + v = 5*w for w.
5
Suppose -2*i = 5*s + 15, -21 - 9 = 3*s - 3*i. Let g be s/(-2 - (-3 + 2)). Solve -j = -3*j + g*b - 4, 4*j = -4*b - 8 for j.
-2
Suppose h = -4*f + 25, -h - 15 = -5*f + f. Suppose u = h*u - 140. Let g be (-23)/(-5) + 14/u. Solve 3*b + g*x = -23, 4*b + 16 = -4*x + x for b.
-1
Let n be 3/(-9) - 2391/9. Let q be n/(-63) + 2/(-9). Solve q*m + 8 = 0, -5*y + 32 = -4*m - 1 for y.
5
Let b = -2 + -4. Let q(n) = -n - 3. Let s be q(b). Solve -3*p - 4*d - 2 = -s*d, -2 = 4*p + d for p.
0
Let d(w) = -w. Let j be d(-5). Let k = 10 - j. Let u = k - 4. Solve -3*q + 25 + u = -4*n, 0 = 4*n - 4*q + 28 for n.
-5
Let i(y) = y**3 + 4*y**2 + 2*y - 2. Let f be i(-4). Let z be 12/(-15)*f/(-4). Let r = 5 + z. Solve -o - r*u = -2 + 6, 5*o - u - 12 = 0 for o.
2
Suppose -3*p + 4*c + 20 = -p, -p = 4*c + 20. Let u = 10 + p. Solve m + u = 4*y, -y = -4*m + 5 - 0 for y.
3
Suppose 0*c + 2*a = -c + 8, 5*c - 3*a - 40 = 0. Solve c = -4*f - 3*h + 2*h, -10 = 2*f - h for f.
-3
Let i(r) = -3*r - 7. Let j be i(-4). Solve 0 = -j*a, 3*a - 10 + 0 = -5*f for f.
2
Suppose -g - 3*o + 2 = 0, -2*g - 2*o - o = -7. Solve 0 = 5*s - 2*a + 7*a - 10, 3*a - 4 = -g*s for s.
-1
Let t = -54 - -8. Let j = 13 - 5. Let a be t/(-3) + j/12. Solve 3*c = 2*x - a, 5*c + 41 - 16 = 3*x for x.
5
Let m = 8 + -5. Let w be (-44)/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
cube root of 272754 to the nearest integer?
65
What is the fifth root of 396937 to the nearest integer?
13
What is 1122076 to the power of 1/2, to the nearest integer?
1059
What is 555428 to the power of 1/3, to the nearest integer?
82
What is the cube root of 14896878 to the nearest integer?
246
What is 32994 to the power of 1/9, to the nearest integer?
3
What is the square root of 351266 to the nearest integer?
593
What is 77406 to the power of 1/2, to the nearest integer?
278
What is 9617664 to the power of 1/9, to the nearest integer?
6
What is the eighth root of 644985 to the nearest integer?
5
What is the cube root of 24636796 to the nearest integer?
291
What is the square root of 45640 to the nearest integer?
214
What is the fourth root of 146560 to the nearest integer?
20
What is the third root of 12373418 to the nearest integer?
231
What is the square root of 376539 to the nearest integer?
614
What is the cube root of 6013908 to the nearest integer?
182
What is the square root of 2335384 to the nearest integer?
1528
What is 53068 to the power of 1/6, to the nearest integer?
6
What is the cube root of 4366723 to the nearest integer?
163
What is the sixth root of 9252456 to the nearest integer?
14
What is 21397136 to the power of 1/9, to the nearest integer?
7
What is the square root of 21446546 to the nearest integer?
4631
What is 1570565 to the power of 1/3, to the nearest integer?
116
What is 158887 to the power of 1/8, to the nearest integer?
4
What is 6713336 to the power of 1/2, to the nearest integer?
2591
What is 585464 to the power of 1/3, to the nearest integer?
84
What is the cube root of 1643738 to the nearest integer?
118
What is the tenth root of 1653477 to the nearest integer?
4
What is 16270049 to the power of 1/8, to the nearest integer?
8
What is the fourth root of 59562 to the nearest integer?
16
What is 14910734 to the power of 1/2, to the nearest integer?
3861
What is the square root of 99094 to the nearest integer?
315
What is the sixth root of 2307182 to the nearest integer?
11
What is 6172065 to the power of 1/2, to the nearest integer?
2484
What is the square root of 678006 to the nearest integer?
823
What is 128003 to the power of 1/2, to the nearest integer?
358
What is the eighth root of 340734 to the nearest integer?
5
What is the cube root of 2287521 to the nearest integer?
132
What is the square root of 541579 to the nearest integer?
736
What is 9761414 to the power of 1/3, to the nearest integer?
214
What is 161381 to the power of 1/3, to the nearest integer?
54
What is the cube root of 4324212 to the nearest integer?
163
What is 1184585 to the power of 1/2, to the nearest integer?
1088
What is the third root of 1420006 to the nearest integer?
112
What is the cube root of 7722722 to the nearest integer?
198
What is the cube root of 5264594 to the nearest integer?
174
What is the eighth root of 1860416 to the nearest integer?
6
What is the third root of 16887076 to the nearest integer?
257
What is the fifth root of 217098 to the nearest integer?
12
What is 291611 to the power of 1/5, to the nearest integer?
12
What is the cube root of 11237465 to the nearest integer?
224
What is the square root of 3648018 to the nearest integer?
1910
What is the cube root of 1626617 to the nearest integer?
118
What is the sixth root of 27071305 to the nearest integer?
17
What is the cube root of 14746712 to the nearest integer?
245
What is the ninth root of 180873 to the nearest integer?
4
What is the cube root of 938170 to the nearest integer?
98
What is 22190588 to the power of 1/3, to the nearest integer?
281
What is 5228245 to the power of 1/9, to the nearest integer?
6
What is 222287 to the power of 1/2, to the nearest integer?
471
What is 846246 to the power of 1/2, to the nearest integer?
920
What is the square root of 16293 to the nearest integer?
128
What is the sixth root of 520244 to the nearest integer?
9
What is the third root of 7644065 to the nearest integer?
197
What is 270225 to the power of 1/9, to the nearest integer?
4
What is 24134796 to the power of 1/2, to the nearest integer?
4913
What is 1017511 to the power of 1/10, to the nearest integer?
4
What is 1609221 to the power of 1/6, to the nearest integer?
11
What is the seventh root of 3014523 to the nearest integer?
8
What is 154254 to the power of 1/3, to the nearest integer?
54
What is the third root of 1966076 to the nearest integer?
125
What is 119022 to the power of 1/8, to the nearest integer?
4
What is the third root of 19075077 to the nearest integer?
267
What is 924593 to the power of 1/6, to the nearest integer?
10
What is the cube root of 21775146 to the nearest integer?
279
What is 260291 to the power of 1/4, to the nearest integer?
23
What is the square root of 30832157 to the nearest integer?
5553
What is 216749 to the power of 1/7, to the nearest integer?
6
What is the fifth root of 3417097 to the nearest integer?
20
What is 1876262 to the power of 1/3, to the nearest integer?
123
What is the eighth root of 10021022 to the nearest integer?
8
What is 1945358 to the power of 1/4, to the nearest integer?
37
What is 1181352 to the power of 1/2, to the nearest integer?
1087
What is the square root of 4468964 to the nearest integer?
2114
What is the third root of 243508 to the nearest integer?
62
What is 40610 to the power of 1/2, to the nearest integer?
202
What is 258474 to the power of 1/9, to the nearest integer?
4
What is the fourth root of 1406095 to the nearest integer?
34
What is 8267343 to the power of 1/4, to the nearest integer?
54
What is the square root of 2632147 to the nearest integer?
1622
What is the third root of 1167975 to the nearest integer?
105
What is the fifth root of 3328873 to the nearest integer?
20
What is 934113 to the power of 1/3, to the nearest integer?
98
What is the cube root of 236210 to the nearest integer?
62
What is the third root of 2205106 to the nearest integer?
130
What is 278624 to the power of 1/3, to the nearest integer?
65
What is 928188 to the power of 1/2, to the nearest integer?
963
What is 136394 to the power of 1/3, to the nearest integer?
51
What is the ninth root of 202111 to the nearest integer?
4
What is 405447 to the power of 1/9, to the nearest integer?
4
What is the square root of 400565 to the nearest integer?
633
What is 13985712 to the power of 1/10, to the nearest integer?
5
What is the cube root of 19413 to the nearest integer?
27
What is 1451909 to the power of 1/2, to the nearest integer?
1205
What is 13807940 to the power of 1/2, to the nearest integer?
3716
What is 486770 to the power of 1/2, to the nearest integer?
698
What is the square root of 153500 to the nearest integer?
392
What is 779386 to the power of 1/2, to the nearest integer?
883
What is 10259037 to the power of 1/2, to the nearest integer?
3203
What is 3039059 to the power of 1/10, to the nearest integer?
4
What is the ninth root of 206523 to the nearest integer?
4
What is 206905 to the power of 1/7, to the nearest integer?
6
What is 1795984 to the power of 1/2, to the nearest integer?
1340
What is 13723729 to the power of 1/8, to the nearest integer?
8
What is 1219307 to the power of 1/3, to the nearest integer?
107
What is the third root of 2321221 to the nearest integer?
132
What is 634902 to the power of 1/8, to the nearest integer?
5
What is the square root of 11444520 to the nearest integer?
3383
What is the cube root of 99945 to the nearest integer?
46
What is the square root of 615470 to the nearest integer?
785
What is 3801682 to the power of 1/5, to the nearest integer?
21
What is 17908596 to the power of 1/2, to the nearest integer?
4232
What is 772330 to the power of 1/2, to the nearest integer?
879
What is 3990695 to the power of 1/4, to the nearest integer?
45
What is 607686 to the power of 1/4, to the nearest integer?
28
What is the cube root of 466465 to the nearest integer?
78
What is the third root of 2367731 to the nearest integer?
133
What is the square root of 2615985 to the nearest integer?
1617
What is the tenth root of 489260 to the nearest integer?
4
What is the tenth root of 578618 to the nearest integer?
4
What is 2038976 to the power of 1/9, to the nearest integer?
5
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
divisor of 21 and 1113?
21
Calculate the highest common factor of 68 and 17.
17
Calculate the highest common factor of 20608 and 805.
161
What is the highest common factor of 1244 and 4?
4
What is the greatest common divisor of 435 and 5?
5
Calculate the highest common divisor of 22 and 1111.
11
What is the greatest common factor of 120 and 1230?
30
What is the greatest common divisor of 377 and 104?
13
Calculate the greatest common divisor of 21 and 336.
21
What is the greatest common factor of 2983 and 157?
157
Calculate the greatest common divisor of 1485 and 99.
99
Calculate the greatest common divisor of 53 and 2173.
53
What is the greatest common factor of 45129 and 147?
147
What is the greatest common divisor of 100 and 4?
4
What is the greatest common factor of 102 and 6?
6
What is the greatest common factor of 10 and 190?
10
Calculate the highest common factor of 1599 and 1107.
123
What is the highest common factor of 942 and 12?
6
Calculate the highest common factor of 5 and 45.
5
Calculate the highest common factor of 10089 and 38.
19
What is the highest common divisor of 164 and 1681?
41
Calculate the highest common factor of 247 and 104.
13
Calculate the greatest common factor of 1260 and 273.
21
What is the greatest common factor of 150 and 90?
30
Calculate the highest common factor of 648 and 288.
72
Calculate the highest common divisor of 63 and 175.
7
What is the greatest common factor of 68 and 4?
4
What is the highest common factor of 204 and 36?
12
What is the highest common divisor of 2628 and 90?
18
Calculate the highest common divisor of 190 and 19.
19
What is the greatest common factor of 15042 and 436?
218
Calculate the greatest common factor of 44 and 51612.
44
What is the highest common divisor of 2376 and 1672?
88
What is the highest common divisor of 192 and 9?
3
Calculate the highest common divisor of 36306 and 18.
18
Calculate the greatest common factor of 767 and 117.
13
What is the greatest common factor of 204 and 1596?
12
What is the greatest common divisor of 42 and 16149?
21
What is the highest common divisor of 5 and 235?
5
Calculate the highest common divisor of 1 and 846.
1
What is the greatest common divisor of 5352 and 48?
24
What is the highest common divisor of 15450 and 450?
150
Calculate the greatest common divisor of 8 and 344.
8
What is the greatest common divisor of 1462 and 258?
86
What is the greatest common factor of 990 and 36?
18
What is the highest common factor of 60 and 5480?
20
What is the highest common divisor of 39 and 99?
3
What is the greatest common divisor of 729 and 216?
27
Calculate the highest common factor of 1444 and 38.
38
Calculate the highest common factor of 460 and 220.
20
What is the highest common factor of 30 and 6855?
15
What is the highest common divisor of 78 and 1937?
13
What is the greatest common factor of 1233 and 9?
9
Calculate the highest common divisor of 13 and 143.
13
Calculate the highest common divisor of 60476 and 52.
52
Calculate the greatest common divisor of 55 and 88.
11
Calculate the greatest common factor of 5720 and 78.
26
Calculate the greatest common divisor of 8 and 158.
2
What is the greatest common factor of 3120 and 96?
48
Calculate the highest common factor of 11 and 704.
11
What is the highest common factor of 187 and 51?
17
Calculate the highest common divisor of 168 and 1296.
24
What is the highest common factor of 2 and 137?
1
Calculate the highest common divisor of 34 and 289.
17
Calculate the highest common divisor of 6 and 8.
2
What is the highest common divisor of 80 and 248?
8
Calculate the greatest common factor of 5452 and 376.
188
Calculate the highest common factor of 19912 and 4.
4
What is the greatest common factor of 130 and 468?
26
Calculate the greatest common factor of 258 and 294.
6
What is the greatest common factor of 64 and 1856?
64
Calculate the greatest common factor of 5 and 405.
5
What is the highest common divisor of 460 and 12190?
230
Calculate the greatest common factor of 150 and 320.
10
What is the greatest common factor of 14312 and 40?
8
Calculate the highest common divisor of 9376 and 2.
2
What is the highest common divisor of 1071 and 630?
63
What is the greatest common factor of 90 and 50?
10
Calculate the highest common divisor of 3940 and 40.
20
What is the greatest common factor of 125 and 1200?
25
Calculate the greatest common factor of 5 and 15.
5
Calculate the greatest common factor of 10 and 784.
2
What is the greatest common divisor of 468 and 2964?
156
What is the highest common factor of 92 and 4324?
92
Calculate the highest common divisor of 102 and 42.
6
Calculate the highest common divisor of 68 and 8126.
34
Calculate the greatest common factor of 3 and 1383.
3
What is the highest common divisor of 20 and 320?
20
What is the highest common factor of 325 and 819?
13
What is the highest common factor of 19581 and 183?
183
What is the highest common factor of 187 and 153?
17
Calculate the highest common factor of 4633 and 113.
113
What is the greatest common divisor of 4416 and 1728?
192
Calculate the greatest common factor of 672 and 2112.
96
Calculate the highest common factor of 34 and 13634.
34
Calculate the highest common divisor of 5901 and 21.
21
What is the highest common divisor of 345 and 15?
15
Calculate the greatest common factor of 51 and 68.
17
What is the greatest common factor of 8 and 14072?
8
Calculate the greatest common factor of 90 and 20.
10
Calculate the greatest common factor of 340 and 136.
68
Calculate the highest common divisor of 1189 and 3444.
41
What is the greatest common divisor of 3 and 147?
3
What is the greatest common divisor of 1050 and 1350?
150
Calculate the greatest common factor of 1750 and 28.
14
What is the highest common factor of 253 and 88?
11
Calculate the greatest common factor of 136 and 3400.
136
Calculate the highest common divisor of 4402 and 62.
62
What is the greatest common factor of 1788 and 32?
4
Calculate the greatest common divisor of 8 and 3.
1
Calculate the greatest common divisor of 26 and 1378.
26
Calculate the highest common factor of 9 and 207.
9
What is the greatest common factor of 1111 and 303?
101
What is the greatest common divisor of 13 and 416?
13
Calculate the greatest common factor of 2163 and 21.
21
What is the highest common divisor of 72 and 336?
24
What is the greatest common factor of 4228 and 154?
14
What is the highest common factor of 24 and 24?
24
What is the highest common factor of 3674 and 66?
22
Calculate the greatest common factor of 589 and 19.
19
Calculate the highest common factor of 12166 and 770.
154
What is the greatest common factor of 7 and 91?
7
Calculate the greatest common factor of 2 and 9.
1
Calculate the greatest common divisor of 5328 and 54.
18
Calculate the greatest common factor of 96 and 132.
12
Calculate the highest common divisor of 140 and 336.
28
What is the highest common divisor of 69 and 1104?
69
Calculate the highest common divisor of 200 and 8.
8
What is the highest common factor of 67 and 2144?
67
What is the highest common divisor of 3192 and 2964?
228
Calculate the highest common divisor of 8 and 2666.
2
What is the highest common divisor of 3570 and 840?
210
Calculate the greatest common factor of 112 and 16.
16
Calculate the greatest common divisor of 816 and 96.
48
Calculate the highest common divisor of 1734 and 102.
102
Calculate the greatest common factor of 3111 and 8601.
183
Calculate the highest common divisor of 58 and 290.
58
What is the highest common divisor of 84 and 462?
42
Calculate the greatest common divisor of 18648 and 189.
63
Calculate the highest common divisor of 18 and 504.
18
Calculate the greatest common factor of 6 and 105414.
6
Calculate the highest common factor of 5206 and 190.
38
Calculate the greatest common factor of 200 and 24.
8
Calculate the highest common factor of 13888 and 1.
1
Calculate the greatest common divisor of 684 and 72.
36
Calculate the highest common divisor of 276 and 920.
92
What is the highest common divisor of 14 and 910?
14
Calculate the greatest common factor of 432 and 10908.
108
Calculate the greatest common divisor of 1022 and 730.
146
What is the highest common factor of 35 and 315?
35
What is the greatest commo
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 22 + 18 + 20 in the form k + i*c and give i.
3308
Rearrange (-3316 + 440*x + 6643 - 3331)*(3 + 2*x**2 - x - 3) to the form p*x + n + o*x**3 + j*x**2 and give p.
4
Rearrange -87*k**2 - 14 - 12 + 27*k**2 + 43*k**2 + 21*k**2 - k**3 to i*k + w*k**2 + f + p*k**3 and give f.
-26
Rearrange (-2*y - 1 + 1)*(2 - 5 + 1) + 911*y + 17 - 84 + 71 + (-3*y + y + 0*y)*(1 - 4 + 5) to the form s + l*y and give l.
911
Express (-72*t - 411*t + 64*t)*(0 - 1 - 1) + 6*t - 4*t - 21*t as v*t + p and give v.
819
Rearrange -2 - 2*t**3 + 160*t - 14*t**4 + 17*t**4 - 169*t to the form z*t**2 + c*t**4 + g*t**3 + k + f*t and give c.
3
Express 4 + 25665*p - 25564*p - 9 in the form l*p + r and give r.
-5
Rearrange (-1 + 3*w + 1)*(3*w + w - 42*w + 411 + 51*w - 4*w) to the form r*w + f + i*w**2 and give i.
27
Express (20*i**2 + 18*i**2 - 4 - 23*i**2)*(-44 + 84 - 28*i - 23*i - 35) in the form h + c*i**2 + j*i**3 + o*i and give o.
204
Express -732*a**2 + 1860*a**2 + 12342*a**2 + 1911*a**2 + 210*a**2 as g*a**2 + v + m*a and give g.
15591
Rearrange -q**3 + 148*q**4 - 1 - 10*q**2 - 150*q**4 - 1931*q + 1949*q to f*q**3 + s*q + o + n*q**4 + b*q**2 and give n.
-2
Express 22*o**3 - 215 + 16*o**4 - 5*o**2 + o + 2*o**2 - 25*o**3 - 18*o**4 as k + r*o**2 + v*o**3 + t*o + p*o**4 and give k.
-215
Rearrange -4028 - 4031 - 62*d + 8024 to the form g + x*d and give x.
-62
Express (-24 - 2 + 7)*(-5*c + 71 + 44 + 2*c) as o + r*c and give r.
57
Express -43*j**3 + 34 + 59*j**3 + 13*j**3 + 27*j**3 in the form u*j**2 + a*j + c + i*j**3 and give c.
34
Rearrange 1232 + 36*p - 36*p - 1038 - 12*p**2 to v*p**2 + q*p + k and give v.
-12
Express -6047 + 31*j - 6051 + 12103 as c + v*j and give c.
5
Rearrange (-1 + 1 + 1)*(20985*g + 8329*g - 17212*g + 20728*g) to the form l*g + m and give l.
32830
Rearrange -3 - 4*a + 2*a + 3*a + 0*a + a to s + t*a and give t.
2
Rearrange 51*z + 62*z - 114 + 49*z - 167*z to the form x + p*z and give x.
-114
Express (1979*m - 1097*m - 1066*m)*(-1 - 3 + m + 3) as l + w*m**2 + y*m and give y.
184
Express -8064*s**3 + 2*s**2 + 4*s + 1 + 322*s**4 + 4033*s**3 - 3*s + 4035*s**3 as b*s**4 + o + g*s + p*s**2 + i*s**3 and give g.
1
Express (-26 + 60*j**2 + 6 - 56*j**2)*(117*j + 85*j - 286*j) in the form o + p*j**3 + z*j + x*j**2 and give z.
1680
Rearrange -2*w - 1665 + 0*w + 1694 - 1 + 1 + w + (2 - 3 - 1)*(0*w - w + 0*w) + 5 + 3*w - 5 to the form r*w + n and give r.
4
Rearrange (-22064 + 46601 - 22406)*(2 - 5 + 4)*(-3*w - 2*w + 4*w) to the form b*w + t and give b.
-2131
Rearrange -1320*z**3 + 2 - 1157*z**3 - 354*z**2 + 2453*z**3 to m*z**2 + h*z**3 + a*z + c and give h.
-24
Express (-2*f**2 + 0*f**2 + 4*f**2 - 20*f + (-2*f**2 + f**2 - 3*f**2)*(-2 + 4 + 3))*(2 + 3 - 3)*(-3 - 1 + 5)*(-1 + 3 - 3) as q + x*f + c*f**2 and give x.
40
Rearrange -2*b - 184*b**2 + 3*b**3 + 998 + 989 - 1983 + 2*b**4 to the form a*b**3 + i*b**2 + y*b**4 + q + t*b and give q.
4
Express (-221*h + 167 - 167)*(-7*h + h + 3*h) + 5*h - 5*h - h**2 in the form m*h + d*h**2 + f and give d.
662
Express -13662*n - 73*n - 5351*n - 8395*n - 5556*n as u*n + z and give u.
-33037
Express (40 + 69 + 431 - 1331 - 1117)*(2*c - 4*c + 8*c) in the form a*c + p and give a.
-11448
Rearrange -f**2 - 2*f**2 + 2*f**2 + (-14*f + 4*f + 5*f)*(30*f + 33*f + 12*f) + 3*f + 2*f**2 - 3*f to k*f + a + m*f**2 and give m.
-374
Rearrange (2268*h + 2257*h + 2 - 4497*h)*(-10*h**3 - 24*h**3 + 9*h**3) to v*h**4 + k*h**3 + l*h + q + i*h**2 and give v.
-700
Rearrange 6*c**4 - 139*c**3 + 167*c - 2 + 70*c**3 + 68*c**3 - 62*c to d*c**3 + u*c**2 + g*c + p*c**4 + f and give d.
-1
Rearrange 4*o**3 - 6*o**3 + o**3 + (5 + 19 + 3)*(-o**3 - 2*o**3 + 0*o**3) + 3*o**3 + o**3 + 0*o**3 to the form l + x*o + s*o**3 + t*o**2 and give s.
-78
Express -2*j**3 - 1727*j**2 + 1726*j**2 - 2329*j + 2061*j - 12*j**4 as g*j**2 + s*j**4 + b*j**3 + q + l*j and give b.
-2
Rearrange 3*o**2 - 5*o**2 - 477825*o + 477425*o + 0 + 0 + 2*o**2 + (2 - 2 + 2*o)*(-2*o + 3*o + 0*o) to x*o + n*o**2 + q and give n.
2
Express (-171 - 158 - 2682*p - 837*p + 333)*(-p + 3 - 3) + 0 - p**2 + 0 in the form h*p**2 + u*p + q and give h.
3518
Rearrange (-35 - 49 - 31 + 114 - 423*o)*(-2 - 6*o + 2) to the form z + a*o + r*o**2 and give r.
2538
Rearrange -15*m - 6*m**2 - 2*m + 4*m**2 + 14*m - 19*m + 10 to the form h*m + w*m**2 + x and give h.
-22
Rearrange (-913464 + 5021*u + 6851*u + 913462)*(1 - 2*u - 5*u**2 + 3*u**2 + 3*u**2) to the form s*u**3 + n*u**2 + j*u + x and give s.
11872
Rearrange (4*w**3 - 4*w**3 - 8*w**3)*(-8*w + 7*w - 23*w) to the form j*w**4 + s*w + b*w**2 + h*w**3 + x and give j.
192
Rearrange (9 - 45*r - 9)*(-3 + 5 - 3)*(-24 - 16 - 35) to x*r + i and give x.
-3375
Express (3*l - l - 4*l)*(4*l + l - 2*l)*((-2*l + 2*l + l)*(19 + 42 + 392) - 5*l + 2*l + l) as r + y*l**2 + t*l**3 + s*l and give t.
-2706
Rearrange 354*d + 356*d + 1549*d - 18408 + 18408 to the form f + n*d and give n.
2259
Rearrange -508*r + 659 - 2*r**3 - 416*r + 2*r**2 + 928*r to the form v*r**3 + l*r + f*r**2 + m and give m.
659
Rearrange 1337 - 535 + m**2 + 2154 - 109 to i*m**2 + a + x*m and give x.
0
Express 2*y + 4*y - 17 + 4*y - 32 - 7*y in the form d + k*y and give k.
3
Express (-43 + 43 + 61)*(5*r**3 - 3*r**3 - 4*r**3)*(-3*r + 2 - r + 2*r) in the form g + i*r**4 + v*r**3 + k*r**2 + t*r and give v.
-244
Rearrange 6 + 2*i - 3*i + 2*i**3 + 4*i**2 + 193*i**4 - 108*i**4 - 76*i**4 to w*i + c*i**3 + x*i**4 + q + b*i**2 and give x.
9
Express -667 - 4675*z + 667 - 4200*z as r*z + m and give r.
-8875
Express 625 - 1638*k - 517*k - 625 - 1803*k in the form g + f*k and give g.
0
Rearrange (7*g**2 + 3*g**2 - 4*g**2)*(-3*g - g + 2*g) + 13410 - g**2 - g - 13408 - 6*g**2 + 38*g**3 to n + q*g + h*g**3 + i*g**2 and give h.
26
Express (-3*r**2 + 0*r**2 + 2*r**2)*(-r**2 + 5*r**2 - 5*r**2) + 1351*r**4 + 237*r**4 - 2943*r**4 in the form z*r + y + n*r**2 + i*r**3 + k*r**4 and give k.
-1354
Express -1761*p + 2 - 450*p + 954*p as z + l*p and give z.
2
Express -f**2 + 29*f - 13*f - 27*f - 25*f + f**3 + 2*f**2 as j*f**3 + v + u*f**2 + g*f and give u.
1
Express -42*z**3 + 228*z**2 - 228*z**2 + (4*z + z**2 - 4*z)*(23 - 23 - 11*z) as s*z**2 + m*z**3 + y*z + w and give y.
0
Rearrange 83*h**3 + 6*h**2 + 1623*h**4 - 5*h**2 - 1622*h**4 + 6*h**3 - 2 to the form l*h + i*h**4 + d + q*h**2 + f*h**3 and give q.
1
Rearrange 732*a**2 - 282*a**3 + 453*a**3 - 181*a**3 to c*a**3 + h + f*a + d*a**2 and give d.
732
Rearrange (4*g**2 - 4*g**2 + g**2)*(436*g**2 - 561*g**2 + 426*g**2)*(-4 + 3 - 2) to the form n*g**2 + w*g + x + v*g**3 + p*g**4 and give p.
-903
Rearrange -10197*w + 203 - 115 - 88 to the form m*w + d and give m.
-10197
Rearrange (64*n + 47*n - 240*n + (2*n + 1 - 1)*(-1 + 0 - 1) + 28 - 28 - 4*n)*(4 - 2 - 1) to p*n + k and give p.
-137
Express -19*j + 4*j**2 + 5*j**3 - 3*j**2 + 4*j**4 + 2*j**3 - 7*j**3 as h*j + f*j**3 + r*j**4 + c + q*j**2 and give q.
1
Rearrange (9 - 184*z + 181*z - 3)*(-48 + 35 - 66)*(3 - 3 - 1) to m + h*z and give m.
474
Express (15 - 15 - 11*s + (-3 + 6 - 1)*(-2*s + 0*s + 0*s))*(26 - 26 + 42) as u + l*s and give l.
-630
Rearrange 18 - 2*r**2 + 303*r - 18 - 433*r to o + j*r**2 + x*r and give o.
0
Rearrange 4*s**2 + 4*s**2 - 3*s**2 + 2 - 163877*s + 163836*s to the form f*s + p + i*s**2 and give p.
2
Express 216*z + 40*z - 248*z - 29 as m + b*z and give m.
-29
Express (-638 - 1254 + 493)*(-2*f**2 + 0*f + 0*f) - 7*f**2 + 9*f**2 - 6*f**2 in the form p*f + u + v*f**2 and give v.
2794
Rearrange -78*b + 2364*b + 1433*b to the form j + c*b and give c.
3719
Express 885 - 288 + 17258*l - 288 - 309 in the form u*l + c and give u.
17258
Rearrange -3697*a**3 + 1391*a**3 + 356*a**2 + 338*a**2 - 691*a**2 to s*a**2 + c + p*a**3 + m*a and give s.
3
Express (7*a + 0*a - 2*a)*(2541 - 2541 + 158*a)*(2*a + 2 - 2) in the form b*a + q + g*a**2 + o*a**3 and give o.
1580
Express (5 - 2*f - 5 + f**2)*(735*f - 538*f**2 - 735*f) as s*f**4 + p*f**2 + t*f + y + n*f**3 and give s.
-538
Rearrange 4946211 - 4946211 - 833*c to the form x*c + w and give x.
-833
Express 13*l**2 - 15*l**2 - 801 + 781 + 2*l - 8*l**4 as c*l**3 + v*l**4 + t*l + j + b*l**2 and give v.
-8
Rearrange -183*z + 3*z**4 + 80*z + 4 + 10*z**2 + 106*z to f + m*z**4 + i*z**2 + x*z**3 + y*z and give m.
3
Rearrange 6*p**2 + 123*p**4 + p**4 + 74*p**4 + 11*p**3 + 128*p**4 - 7*p**3 to a*p**4 + o*p + u + r*p**3
|
{
"pile_set_name": "DM Mathematics"
}
|
t of 281821?
2
What is the hundred thousands digit of 726719?
7
What is the hundred thousands digit of 11079677?
0
What is the ten thousands digit of 67329?
6
What is the thousands digit of 119954?
9
What is the ten millions digit of 27829830?
2
What is the millions digit of 3400923?
3
What is the thousands digit of 326037?
6
What is the hundreds digit of 15808254?
2
What is the tens digit of 198383?
8
What is the hundred thousands digit of 350323?
3
What is the ten thousands digit of 2030937?
3
What is the ten thousands digit of 262010?
6
What is the units digit of 871317?
7
What is the hundred thousands digit of 5752221?
7
What is the ten thousands digit of 114099?
1
What is the tens digit of 481984?
8
What is the hundreds digit of 326167?
1
What is the millions digit of 2754274?
2
What is the hundreds digit of 2966603?
6
What is the hundreds digit of 848858?
8
What is the units digit of 61601?
1
What is the hundred thousands digit of 2158579?
1
What is the hundred thousands digit of 21038939?
0
What is the hundreds digit of 1240337?
3
What is the units digit of 92030?
0
What is the tens digit of 7040809?
0
What is the millions digit of 4631930?
4
What is the units digit of 1769195?
5
What is the thousands digit of 122975?
2
What is the thousands digit of 31724719?
4
What is the thousands digit of 706003?
6
What is the tens digit of 3406451?
5
What is the units digit of 479225?
5
What is the hundred thousands digit of 25534544?
5
What is the hundred thousands digit of 450623?
4
What is the ten millions digit of 28773725?
2
What is the units digit of 6908065?
5
What is the millions digit of 1096798?
1
What is the ten thousands digit of 109276?
0
What is the ten thousands digit of 2501361?
0
What is the ten thousands digit of 161157?
6
What is the ten thousands digit of 8447614?
4
What is the tens digit of 761253?
5
What is the tens digit of 25821899?
9
What is the hundred thousands digit of 719668?
7
What is the thousands digit of 30735637?
5
What is the thousands digit of 26715162?
5
What is the tens digit of 660719?
1
What is the units digit of 1637891?
1
What is the thousands digit of 22098000?
8
What is the units digit of 1107765?
5
What is the ten millions digit of 18237236?
1
What is the tens digit of 233133?
3
What is the hundreds digit of 207054?
0
What is the thousands digit of 579079?
9
What is the units digit of 162193?
3
What is the hundred thousands digit of 135659?
1
What is the ten thousands digit of 677390?
7
What is the thousands digit of 23799?
3
What is the ten thousands digit of 480901?
8
What is the ten thousands digit of 2150536?
5
What is the hundred thousands digit of 1454841?
4
What is the hundreds digit of 8247826?
8
What is the hundred thousands digit of 275646?
2
What is the hundreds digit of 106664?
6
What is the hundreds digit of 544939?
9
What is the ten thousands digit of 27033758?
3
What is the thousands digit of 229907?
9
What is the hundreds digit of 958761?
7
What is the hundred thousands digit of 1301931?
3
What is the ten thousands digit of 34415?
3
What is the ten thousands digit of 1387991?
8
What is the millions digit of 1171399?
1
What is the ten thousands digit of 64930?
6
What is the units digit of 2605467?
7
What is the hundreds digit of 36341057?
0
What is the hundred thousands digit of 257232?
2
What is the ten thousands digit of 4430682?
3
What is the tens digit of 15446848?
4
What is the millions digit of 1919706?
1
What is the ten thousands digit of 406238?
0
What is the thousands digit of 249022?
9
What is the tens digit of 5784338?
3
What is the ten thousands digit of 14477142?
7
What is the ten thousands digit of 316380?
1
What is the tens digit of 316345?
4
What is the hundred thousands digit of 339591?
3
What is the hundreds digit of 10994454?
4
What is the tens digit of 985532?
3
What is the units digit of 17338758?
8
What is the millions digit of 1410440?
1
What is the hundred thousands digit of 219354?
2
What is the thousands digit of 4639979?
9
What is the tens digit of 178629?
2
What is the thousands digit of 195202?
5
What is the hundred thousands digit of 2612220?
6
What is the units digit of 294833?
3
What is the hundreds digit of 33957555?
5
What is the units digit of 1633986?
6
What is the thousands digit of 3501852?
1
What is the ten thousands digit of 1851577?
5
What is the tens digit of 99732?
3
What is the ten thousands digit of 4218232?
1
What is the hundred thousands digit of 149987?
1
What is the hundred thousands digit of 27482939?
4
What is the hundreds digit of 310932?
9
What is the ten millions digit of 13119280?
1
What is the tens digit of 2667583?
8
What is the hundreds digit of 34880160?
1
What is the units digit of 101209?
9
What is the ten thousands digit of 92528?
9
What is the ten thousands digit of 61142?
6
What is the ten thousands digit of 4050173?
5
What is the units digit of 9667210?
0
What is the units digit of 300305?
5
What is the units digit of 62588?
8
What is the thousands digit of 16944903?
4
What is the units digit of 13510?
0
What is the hundred thousands digit of 14569702?
5
What is the thousands digit of 17537149?
7
What is the hundreds digit of 696430?
4
What is the units digit of 5585525?
5
What is the units digit of 95804?
4
What is the units digit of 3093084?
4
What is the units digit of 5390122?
2
What is the thousands digit of 2714683?
4
What is the tens digit of 502265?
6
What is the hundred thousands digit of 646467?
6
What is the tens digit of 996436?
3
What is the hundreds digit of 1239222?
2
What is the hundred thousands digit of 765401?
7
What is the units digit of 11866783?
3
What is the tens digit of 3724947?
4
What is the thousands digit of 265858?
5
What is the units digit of 61613?
3
What is the thousands digit of 576558?
6
What is the ten thousands digit of 298966?
9
What is the millions digit of 10824942?
0
What is the units digit of 2395398?
8
What is the tens digit of 381079?
7
What is the hundreds digit of 5455658?
6
What is the thousands digit of 206275?
6
What is the hundred thousands digit of 7754833?
7
What is the thousands digit of 227960?
7
What is the ten thousands digit of 1314259?
1
What is the hundreds digit of 2612294?
2
What is the ten thousands digit of 2549817?
4
What is the units digit of 181998?
8
What is the units digit of 1905921?
1
What is the hundreds digit of 306877?
8
What is the ten thousands digit of 428954?
2
What is the units digit of 487550?
0
What is the units digit of 3459819?
9
What is the millions digit of 8073990?
8
What is the ten thousands digit of 1298347?
9
What is the hundred thousands digit of 1815146?
8
What is the millions digit of 1060791?
1
What is the ten thousands digit of 104894?
0
What is the hundred thousands digit of 1358886?
3
What is the millions digit of 1966058?
1
What is the units digit of 40475?
5
What is the ten thousands digit of 252014?
5
What is the ten thousands digit of 13617?
1
What is the ten thousands digit of 420420?
2
What is the units digit of 1078000?
0
What is the hundred thousands digit of 9370595?
3
What is the hundreds digit of 183843?
8
What is the ten thousands digit of 8263964?
6
What is the hundreds digit of 855555?
5
What is the thousands digit of 7171723?
1
What is the tens digit of 47615?
1
What is the tens digit of 2377434?
3
What is the thousands digit of 35106?
5
What is the tens digit of 981821?
2
What is the thousands digit of 88193?
8
What is the hundred thousands digit of 1986848?
9
What is the ten thousands digit of 28109199?
0
What is the hundreds digit of 133502?
5
What is the thousands digit of 297130?
7
What is the units digit of 2324882?
2
What is the tens digit of 914734?
3
What is the thousands digit of 6307380?
7
What is the hundred thousands digit of 10402392?
4
What is the hundreds digit of 229844?
8
What is the ten thousands digit of 1192265?
9
What is the hundred thousands digit of 213412?
2
What is the thousands digit of 247114?
7
What is the ten thousands digit of 2571299?
7
What is the hundreds digit of 3595908?
9
What is the hundred thousands digit of 164649?
1
What is the thousands digit of 11544825?
4
What is the tens digit of 391744?
4
What is the tens digit of 193334?
3
What is the hundred thousands digit of 428962
|
{
"pile_set_name": "DM Mathematics"
}
|
o be (-1020)/5*((-6)/(-4) + -2). Let q be -1 + 12/10 - o/(-340). Which is the third biggest value? (a) 2 (b) q (c) w
c
Let j = 0.59 + 2.41. What is the fourth biggest value in 0, 5, j, 0.06?
0
Let l = -307 - -200. Let g = l - -107.5. Let x = -0.1 - 0.1. Which is the third biggest value? (a) -1/3 (b) g (c) x
a
Let c be 11/(-4) + (22 + -13 - 6). What is the smallest value in -0.06, c, -6, -3/7?
-6
Let v = 4.852 + -4.89. Which is the smallest value? (a) v (b) -1/7 (c) -0.5
c
Let g(t) = t**2 - 11*t + 2. Let r be g(6). Let y = r + 53/2. Let o be (3 + 0)*8/(-6). What is the smallest value in 5, y, o?
o
Let x = -72 - -68. Which is the smallest value? (a) x (b) 0.4 (c) -0.5 (d) 1/47
a
Let y = -2 - -4. Let f = -2.9253 + 6.9253. Which is the smallest value? (a) y (b) -0.4 (c) f
b
Let b = -0.21 + 3.21. Let o = 0.14 + -0.11. Let y = 3.97 + o. What is the third smallest value in b, y, -0.3?
y
Let x = 561 - 664. Which is the third biggest value? (a) -2/3 (b) x (c) -4
b
Let p = -4.9 - -4.7. Let q = -0.03 + 0.73. Let i = p + q. What is the smallest value in -1, i, 5?
-1
Let p(z) = 4*z + 2. Let n be p(6). Let k = n + -30. What is the third smallest value in k, 4, 3, 0.1?
3
Let p be 12/4 - (-65)/(-25). What is the second smallest value in 3, 29, p?
3
Let k = -0.091 + -48.909. Let q = k - -48.8. Which is the third smallest value? (a) -5 (b) 4 (c) q
b
Let n = 557/15 + -184/5. What is the second smallest value in 1, 0.1, 4, n?
n
Let i = -36 + 32. Let l = -4 + 10/3. Which is the third smallest value? (a) i (b) -1/4 (c) l (d) 0
b
Let z = -2711 + 2710.7. What is the second smallest value in -6/13, z, -7?
-6/13
Let v = -160.97 - -161. What is the second biggest value in v, -2/19, 7?
v
Let q = 124 + -122. What is the biggest value in 98, -1/5, q?
98
Let x = 435 - 433. Let k = -10 + 15. Let t = 17 + -16.8. What is the second smallest value in k, t, x?
x
Let z = -3853/15 + 257. Let p = z - 23/60. Let s = 10730 + -10731. Which is the second smallest value? (a) s (b) 5 (c) p
c
Let y = 127 + -125. Let p = -1333/7 + 191. What is the biggest value in y, p, -0.06?
y
Let u = -11.04 + -5. Let i = u + 16. Which is the third biggest value? (a) 4 (b) -0.3 (c) i
b
Let a = -3 + 2. Let x = 50.961 + -51. Let t = 0.129 + x. What is the biggest value in -5, t, a?
t
Let c = -3544 - -3534. Let n = 552/3419 - 2/263. What is the third biggest value in c, -0.1, n, -3?
-3
Let j = -0.0795 - 3.9205. Let h be 4/15 + (-6)/9. Which is the third biggest value? (a) -0.3 (b) 2/17 (c) j (d) h
d
Let k = -0.24 + 0.3. Suppose -11*x + 74 = -14. Which is the second biggest value? (a) k (b) x (c) 2
c
Suppose 4*j + 0 - 24 = 0. Suppose -o = -4*u + j, -o - 2*o + 3*u - 9 = 0. Let q = 3 + -2. Which is the third smallest value? (a) -3/4 (b) o (c) q
c
Let h(x) = 3*x - 13. Suppose -5*i + 7 = -4*i. Let l be h(i). Let r(v) = v - 1. Let f be r(l). What is the third smallest value in -1/5, -1/4, f?
f
Let n = -1.02 + -0.98. Which is the smallest value? (a) 1 (b) 9 (c) n (d) 0.1
c
Let r(c) be the second derivative of -c**4/12 + c**3 - 5*c**2/2 + 26*c. Let a be r(6). What is the smallest value in a, -0.04, 0.2, -0.2?
a
Let b(p) = -p**3 - 10*p**2 - 8*p + 13. Let l be b(-9). Let i be ((-104)/28 + l)/(-3). Let x = 2 - 6. What is the smallest value in 0.05, x, i?
x
Let q = 0.133 + 52.867. Let f = 53 - q. Let b = -0.3 + 3.3. What is the third smallest value in f, b, 1/3?
b
Let h = 250 + -249.821. Let z = h - -0.121. Which is the second biggest value? (a) -1/7 (b) z (c) -1 (d) -5
a
Let p = -0.49 - -4.89. Let j = -4 + p. Let o = -42/19 - -202/57. Which is the biggest value? (a) j (b) 0 (c) o
c
Let g be (-36)/(-448)*4 - (-3)/12. Which is the smallest value? (a) -2 (b) g (c) 2/9
a
Let f be (-6)/5*11/(-99). Let c = -3.36 + -0.6. Let y = c + -0.04. What is the biggest value in f, y, 0.07?
f
Let j = 0.8 - 16.8. Let z = j + 15.99. Let w = 2 + 0. What is the second smallest value in 0.1, z, w?
0.1
Let o(d) = -165*d - 15. Let f be o(5). Let g be 4/1 - (-3366)/f. Let t = -277/420 + g. What is the third smallest value in -3/2, t, 4?
4
Let f = 1.87 + -2.17. Let h = 7 - 4. What is the second smallest value in f, h, 0?
0
Let r = -79 + 151. Let o = r + -70. Let h = 2 - 1.5. Which is the second biggest value? (a) o (b) 3/8 (c) h
c
Let i = 12.94 - -0.06. Let m = 13 - i. Let g = 0.5 - 0.8. Which is the second biggest value? (a) g (b) m (c) -5
a
Let u = -260 + 258. Which is the second smallest value? (a) 2/17 (b) u (c) 4
a
Let o be 5 + -2 - 0*(-5)/(-20). Let a = 0 - 0.1. What is the second smallest value in o, a, 2/3?
2/3
Let d = -30.8 - -31.3. Let w be (102/27 - 1) + -3. Which is the third smallest value? (a) -4/5 (b) w (c) d
c
Let y be (1/10)/(5/(-20)). Which is the biggest value? (a) 1 (b) y (c) 1/4
a
Let s = 18.6 + -17.6. Which is the second smallest value? (a) 1/6 (b) -0.5 (c) -4 (d) s
b
Suppose -5*i - d + 44 = 9, i - 4*d - 7 = 0. Let u be 11/14 - i/14. Let l = 43 + -83/2. Which is the third biggest value? (a) u (b) 1 (c) l
a
Let r = 0.25 - -0.36. Let d = 0.11 - r. Which is the third biggest value? (a) d (b) 2 (c) -4
c
Let g = -143/63 + 23/9. Let x = 0.87 - 0.7. Let m = x + -0.07. Which is the second smallest value? (a) g (b) 4 (c) m
a
Let u = -318 + 1913/6. Which is the second biggest value? (a) 4 (b) u (c) -5
b
Let z = -3206/9 + 68395/192. Let n = -85/192 - z. Suppose -2*u + 0 = -5*l - 5, 5*l - 5 = 0. Which is the third biggest value? (a) 0.3 (b) n (c) u
b
Let t = -35 + 34.81. Let p = -3.81 + t. Which is the third biggest value? (a) 5 (b) 2/5 (c) p (d) 0.06
d
Let o = 91/6 + -41/30. Let s = 68/5 - o. What is the third smallest value in 0.2, s, 0.1?
0.2
Let k = 0.577 - -0.523. Which is the third biggest value? (a) -8 (b) -2 (c) k
a
Let j = -0.353 - -1.353. Let u = -1.98 - 0.02. Which is the smallest value? (a) -1 (b) j (c) u
c
Let j = 197 + -202. What is the smallest value in 0.1, 1, 17, j?
j
Let u = -141 - -141. What is the second smallest value in u, -1/13, 1/5?
u
Let w = -0.296 + 0.396. What is the third biggest value in 1, w, 2/11?
w
Let f(u) = u + 3. Let o be f(-5). Let z(m) = -m**3 - m + 19. Let t be z(0). Let n = t + -22. Which is the biggest value? (a) o (b) 2 (c) n
b
Suppose 4*v + 0*y - 3*y - 29 = 0, -2*y = 6. Let l = -30 + 34. Which is the third biggest value? (a) v (b) 1/2 (c) l
b
Let u = -115 - -123. Let s = u - 8.2. Let j = 0 + -0.5. What is the smallest value in s, j, -5/3?
-5/3
Let v = 0.0975 - 1.4975. What is the second smallest value in v, -0.4, 1, 1/3?
-0.4
Let k(o) = -11*o - 47. Let n(l) = -10*l - 46. Let z(j) = 6*k(j) - 7*n(j). Let s be z(-9). Which is the smallest value? (a) s (b) 1/4 (c) -3 (d) -0.2
c
Let r be (10/12)/(99/(-414)). Let v = r - -11/3. Let a(p) = -3*p - 3. Let q be a(-2). What is the second biggest value in q, 1/4, v?
1/4
Let n = 26 + -33. Let m = 7.5 + -15. Let d = n - m. What is the third smallest value in -1/8, d, 1?
1
Let n = -584.815 + 589. Let l = n - -0.015. Let r = -0.8 - l. What is the third biggest value in 2/11, r, -8?
-8
Let g = 745633/11 - 67719. Let z = g + -66. Let y = -2 + 7/2. What is the third biggest value in y, z, -4/9?
-4/9
Let o be 8/(-2)*3/4. Let p be 2 - (-1)/((-16)/(-20)). Let k = -7/4 + p. What is the second biggest value in 5, o, k?
k
Let f = -486 - -1617. Let d = 46369/41 - f. Let x = 199 - 1793/9. Which is the second biggest value? (a) d (b) -2/7 (c) x
c
Suppose -4*w + 180 + 500 = 0. Let l be (-6)/(-33) - w/(-275). Which is the third biggest value? (a) l (b) 2/5 (c) 1
b
Let i = -2396 + 2396. Let j = 137/305 + -3/61. Let f = 2 - 1. Which is the biggest value? (a) f (b) i (c) j
a
Let k = -166 - -137. Let w = -53 - k. What is the second smallest value in 2/13, w, 5?
2/13
Let g(l) = -l**2 + 0*l - 6*l - 5 - 11*l + 12*l. Let n be g(-4). Which is the second smallest value? (a) 1 (b) n (c) -2/23 (d) 0.5
c
Let v = 0.0387 - -0.2613. What is the second smallest value in 0.5, -1.73, v?
v
Let n be ((-150)/(-66) - 2)/((-6)/(-4)). Which is the biggest value? (a) -5 (b) n (c) 0.027
b
Let m be ((0 - 0) + (-9)/18)*8. Let w = 41 - 204/5. Which is the biggest value? (a) 4/7 (b) w (c) m (d) 2
d
Let k = -2.4 + -1.6. Let v = -12 + 18. Suppose 15 - 5 = 5*a + 3*d, -d = 0
|
{
"pile_set_name": "DM Mathematics"
}
|
-15*r - 596 = -16*r. Suppose -588 = -l - 2*l + 3*i, -5*i = -3*l + r. Suppose -5*k = -8*k + l. Does 12 divide k?
False
Let k(h) = 11*h**2 - 12*h - 53. Does 37 divide k(8)?
True
Suppose -6*h + 8*h = 2220. Let v be (h/(-9))/5*-6. Let w = v - 82. Is 17 a factor of w?
False
Let i(g) = g**3 - g**2 - 8*g + 2. Let d be i(-8). Does 4 divide d/(-25) - 2/5?
True
Suppose -5*d = -5*t + 4980, 3*d - d + 2020 = -5*t. Is (-8)/12 - d/6 a multiple of 12?
False
Let z = 57 + -29. Does 7 divide z?
True
Suppose -4*v - 7 = -2*v + 5*h, -3*h = -3*v. Is 359/3 + v/(-18)*6 a multiple of 20?
True
Let l = 176 - -70. Suppose 3*y = -3*w + l, 4*w - 321 = -4*y + 7*y. Is w a multiple of 27?
True
Let i be (11 + -5)/(6/(-4)). Let m = -10 - i. Let n = 41 - m. Is n a multiple of 16?
False
Suppose 4*g = u + 2*u + 7181, 2*g = -4*u + 3596. Does 14 divide g?
False
Let z be 912/(-60)*(-5)/4*2. Is 4 a factor of -2*z/(-4) + 1/1?
True
Let m(y) = y - 2. Let b be m(4). Let v be 4/6*27/b. Does 10 divide (-2 - 1)/(v/(-48))?
False
Suppose 0 + 5 = 5*k. Let p be k*(2/2 + 1). Suppose 3*x - 5*u = 127, -x + 5*u = -p - 47. Is x a multiple of 14?
False
Suppose 8*u - 3*u = -25. Does 40 divide (20/(-50) - 2/u) + 200?
True
Let t = 54 + -19. Is 3 a factor of (-5)/1*t/(-25)?
False
Suppose 41*c = -2*u + 46*c + 695, -5*u + 1703 = -c. Is 17 a factor of u?
True
Let f(d) = d**2 + 10*d - 1. Let t = 20 + -29. Let h be f(t). Let s(k) = k**2 + 11*k + 14. Is 3 a factor of s(h)?
False
Suppose -4*u = 1300 + 1308. Is (-2)/13 + 2 + u/(-13) a multiple of 26?
True
Suppose m = 10*m - 2736. Suppose 41*h - m = 37*h. Let r = 132 - h. Is 10 a factor of r?
False
Let d(k) = 5*k**2 + 3*k - 8. Let n(l) = l**2 + l - 1. Let t(u) = d(u) - 4*n(u). Suppose 4 = 3*s - 2*x + 12, x + 22 = -5*s. Is 16 a factor of t(s)?
True
Let h = -85 + 88. Suppose -h*k + 7*k = 528. Is k a multiple of 6?
True
Let p be (-27)/24 + 3/24. Let g(k) = -11*k**3 + k**2 - 1. Is g(p) a multiple of 11?
True
Suppose -3*t - 5*i - 128 + 325 = 0, 140 = 2*t - i. Let n be (-8)/12*3 + t. Suppose 0*s + s - n = 0. Is s a multiple of 19?
False
Suppose 0 = u + 4*x + 16, -u - 8 = 2*x + 2. Let h be 0 - u*3/6. Let l = h + 13. Is l a multiple of 15?
True
Let x(n) = -4*n + 72. Let p be x(17). Let j(s) = -s**3 + 6*s**2 + 2*s - 7. Let y be j(6). Suppose -p*v + y*v - 3 = 0. Is v a multiple of 3?
True
Let w(a) = 100*a**2 + 5. Suppose -2*l + 29 = 25. Let t be w(l). Suppose -21 = -6*m + t. Is m a multiple of 15?
False
Suppose -9*u = -8*u + 20. Suppose -3*m - 3 - 3 = 0. Let s = m - u. Is s a multiple of 18?
True
Suppose -g = -15*g + 14910. Does 71 divide g?
True
Let m(k) = 44*k - 22*k + 2*k**2 + 1 - 33*k**3 - 20*k. Is m(-1) a multiple of 9?
False
Let c = 1435 + -329. Does 21 divide c?
False
Let p be 6 + 52 + (-3 - (-6)/3). Is 11 a factor of p/4 + 6/8?
False
Let h(a) = -4*a**3 + 2*a**2 + 5*a - 4. Let x = -55 + 51. Is h(x) a multiple of 44?
True
Let g(a) = -31*a - 1. Is g(-7) a multiple of 9?
True
Let m = -634 - -655. Is 13 a factor of m?
False
Let c(h) = h**3 - 5*h**2 - 5*h - 2. Let j be ((-14)/4 - -4)*12. Let z be c(j). Let g = z - -8. Is 4 a factor of g?
True
Let k = 1784 - 1229. Does 24 divide k?
False
Suppose -6 = 18*j - 16*j. Let a = j + 9. Is 4 a factor of a?
False
Suppose -z + 9 = 2*z - 4*v, -2*z + 2*v + 6 = 0. Suppose 0 = -2*q + z*p + 2, 3*q + 10 = -5*p + 51. Is q a multiple of 3?
False
Let m(c) be the first derivative of c**4/4 + 8*c**3/3 + 3*c**2 - 10*c + 9. Is 17 a factor of m(-5)?
False
Let k(b) = -2*b + 13*b**2 + b - 9*b - 8 - b**3. Let h = -174 + 186. Is 8 a factor of k(h)?
True
Let n be 119/28 - 3/12. Suppose 74 = n*t - 46. Is 10 a factor of t?
True
Suppose 4*l = 2*s, 5*s = -5*l + s + 26. Suppose -2*v - l*v = -20. Is v a multiple of 2?
False
Let d = 16 - -364. Is d a multiple of 49?
False
Let m(z) = -z**2 - 7*z - 8. Let y be m(-6). Is 7 a factor of (177/6 - 0)*(-4)/y?
False
Let f(a) = -5*a - 22. Let g be f(-5). Suppose 4*r - 636 = -d, 0 = -4*r + g*d + 385 + 267. Is r a multiple of 40?
True
Suppose -432 = -3*s + 132. Suppose 39*g - 43*g = -s. Is 2 a factor of g?
False
Suppose 4*b - 420 = -4*p, 2*b - 2*p - 270 + 44 = 0. Let k = 3 + b. Does 8 divide k?
True
Let b(y) = 2*y**3 - 4*y**2 - y + 9. Does 25 divide b(4)?
False
Let n(h) = -h**3 + 26*h**2 - 22*h - 33. Let w be (-3)/(-12) + (-495)/(-20). Is n(w) a multiple of 14?
True
Suppose p - 62 - 26 = 0. Is 8 a factor of p?
True
Let h(u) = u**2 + 6*u + 43. Is 15 a factor of h(-9)?
False
Let u(s) = 36*s**3 - 2*s**2 + 1. Let t be u(-1). Let x = -5 - t. Suppose -3*q = r - x, 5*q - 2*r + 7 - 42 = 0. Does 5 divide q?
False
Let o(y) = 48*y**2 - 26*y - 49. Is 74 a factor of o(-9)?
False
Suppose -4825 = -5*g + 5*s, s = 3*g + 3*s - 2915. Is 18 a factor of g?
False
Let n(t) = -t**3 - 20*t**2 - 23*t + 24. Let p be 1/(-1 - 36/(-38)). Is n(p) a multiple of 10?
True
Suppose -110 = -5*v + 40. Suppose n + 3*n = l + v, n + 3*l = 1. Is n a multiple of 7?
True
Suppose -8*w = -3*w. Suppose -h + 2 + 89 = w. Is h a multiple of 13?
True
Let z(m) = 3*m**3 - m**2 - 40*m + 4. Is 24 a factor of z(6)?
False
Let v = 13 + -7. Let g = 19 - v. Is 2 a factor of g?
False
Let a(b) = -b**2 + b + 2. Let y be a(4). Let o = 14 + y. Suppose 5*z - 278 = o*u, 0 = -0*u - 2*u + 6. Does 26 divide z?
False
Suppose 0 = -3*z + 4*u + 648 - 3276, u - 1747 = 2*z. Let i be z/(-6) + 64/(-48). Suppose 4*m + i = 8*m. Is 18 a factor of m?
True
Let v be (-42)/(-4)*(-4)/6. Let m = -1 - -18. Let o = v + m. Does 8 divide o?
False
Let v(t) = -t**3 + 12*t**2 - 7*t + 8. Let a be v(11). Suppose d = -2 + a. Is d a multiple of 7?
False
Let z(n) = -n**3 + 2*n**2 + n + 22. Let c(x) = x**3 - 3*x**2 - x - 22. Let y(j) = 6*c(j) + 5*z(j). Is 25 a factor of y(9)?
True
Let k be 4 - (-3 + -62) - 0. Let g = k + 9. Is g a multiple of 15?
False
Suppose 25 = -2*g - 3*g, 3*a = g + 41. Suppose 17*m = a*m. Suppose c - 5*w + m*w = 77, 5 = -w. Does 17 divide c?
False
Suppose -3*t - 3*c + 27 = 0, c - 2*c + 1 = -t. Is 2 - t/(12/(-9)) even?
False
Suppose 3*l - 50 = l. Suppose -l*u = -30*u + 60. Is u a multiple of 3?
True
Suppose -5*p + 42*r = 44*r - 2104, 4*p + 3*r = 1686. Does 28 divide p?
True
Suppose -14 = 2*v - 2438. Does 50 divide v?
False
Let o = 262 + -259. Let h(v) be the second derivative of v**3/3 + v. Is h(o) even?
True
Suppose -4*i = 5*k + 3 + 9, 3*i - 4*k - 22 = 0. Suppose -3*s = 4*t - 259, -i*t + 3*s = -123 - 2. Is 32 a factor of t?
True
Let s be 1/(-4) + (-260)/(-80). Suppose -6*m + 60 = -4*m - 2*w, 4*m = -s*w + 134. Is m a multiple of 16?
True
Let w = 67 - 210. Let b = 179 + w. Is 12 a factor of b?
True
Suppose 2*h - 6*h + 3698 = -i, -4*i = 4*h - 3688. Is h a multiple of 21?
True
Is (-1 - 208)*(0 + (-1 - 3)) a multiple of 76?
True
Does 126 divide 1014 - (2 + 10)*5/10?
True
Suppose 3*g = -g - 3*u + 17, 0 = -4*g - 5*u + 23. Is 164/8 - 1/g a multiple of 19?
False
Suppose 12*u = 6*u + 2580. Is 3 a factor of u?
False
Let d(j) be the second derivative of j**4/12 + 13*j**2/2 + 2*j. Is 19 a factor of d(5)?
True
Let p = -56 + 81. Let t(v) = 6*v - 14. Let k be t(4). Is (p/k)/((-1)/(-22)) a multiple of 15?
False
Suppose r = -z + 1, 5*z - 7*r - 15 = -10*r. Let m(g) = g + 2. Let x be m(-2). Let k = z + x. Is k even?
True
Let i be 6/(-9) - 6/(-9). Suppose i = 5*k - 4*s - 804, -4*k + 62 = s - 598. Is k a multiple of 41?
True
Let h = 3253 + -1877. Is h a multiple of 11?
False
Let b = 773 + -520. Is b a multiple of 9?
False
Let o(w) = -w**2 - 18*w - 16. Does 20 divide o(-14)?
True
Let r(n) = 3*n - 11. Let a be r(5). Suppose -a*m - 365 = -9*m. Is m a multiple of 26?
False
Suppose -3*w - 2*s = -s - 27, 5*w - 45 = 5*s. Let g(t) = -11*t + 6*t**3 - 7*t**3 - w*t**2 - 4 - 4. Is 4 a factor of g(-8)?
True
Let o be 162/6*(-2)/(-6). Suppose 3*h - o - 21 = 0. Suppose 0*j + h = j. Is 4 a factor of j?
False
Let n = -20 + 26. Suppose -5*f = 4*q - 638, 7*q - 2 = n*q. Is f a multiple of 18?
True
Let l = 342 - 97. Is 35 a factor of l?
True
Suppose 38*s = 11*s + 8829. Is 15 a factor of s?
False
Let r(i) = -3*i - 1. Let l be r(-9). Let m(z) = -16*z**2 - 4*z - 5. Let k be m(-1). Let w = l + k. Does 3 divide w?
True
Let k be 2*-2 - 30/(-2). Suppose -5*u - k - 9 = 0. Does 4 divide 1506/66 + u/(-22)?
False
Let q be 8*((-3)/(-3) - 3). Let k = -11 - q. Let a(y) = -y**3 + 7*y**2 + 3*y - 7. Is 18 a factor of a(k)?
False
Let f(t) = 5. Let k(g)
|
{
"pile_set_name": "DM Mathematics"
}
|
3). Solve -z + t*a - 22 + 1 = 0, 4*z - 1 = 3*a for z.
4
Suppose -3*g - 23 = -5*w, 0 = 3*w + 18*g - 19*g - 17. Solve 7 = 2*n - v, w*v - 7 = -n + 4*v for n.
4
Let c(z) = -4*z**2 - 183*z + 48. Let a be c(-46). Solve -d + 3*k + 2*k - 1 = 0, -a*d = 3*k + 2 for d.
-1
Suppose -35*f = 6 - 6. Solve -5*o = 5*m - 20, f = 3*o - m - 0*m for o.
1
Let m = -16 - -18. Suppose 0 = -r - m + 6. Solve -2*d - 3*d + 18 = -r*q, -8 = 5*q + d for q.
-2
Suppose -641*c + 26 = -628*c. Solve 0 = -4*v - k - 16, -4*v - 4*k = -c + 6 for v.
-5
Let a be (-42)/4*(8 + -10). Suppose 14*f + a = 17*f. Solve -m - 3 = 2*u - f*u, 0 = 4*u for m.
-3
Suppose -50*q + 56*q - 18 = 0. Solve 4*h - 1 + 5 = 4*u, u = q*h + 9 for h.
-4
Let c = -16 - -21. Suppose 5*n - c = 15. Solve n = -3*d + 5*d + 3*q, 2*q - 8 = 0 for d.
-4
Suppose -29 = -6*i + 25. Suppose 5*t - 8*t - 5*u = -i, -3*t + 5*u + 9 = 0. Solve -r = t*r - 2*x - 18, 3 = 3*r + 2*x for r.
3
Suppose 5*n + i - 15 = 15, -5*n - 3*i = -40. Solve -4*a + 12 = -2*u, n*a = -4*u + 34 - 6 for a.
4
Let n(m) be the first derivative of 15*m**4/4 - 2*m**3/3 - m**2/2 - 5. Let k be n(-1). Let i = 3 - k. Solve 2*h - 3*o = i, 2*h = 3*h - o - 7 for h.
2
Suppose 6 = -3*t - 20*p + 23*p, -11 = -2*t - p. Solve v + 5*g = t*g + 6, 4*g = 8 for v.
2
Suppose 2*l - 2*r = 38 - 20, 5*l = 2*r + 33. Solve -l*g - 4 = -5*d + 1, 0 = 5*d - 2*g + 10 for d.
-4
Suppose -2 = 3*u + z, -u + 3*u - 5*z - 27 = 0. Suppose -3*h - 112 + u = 0. Let i = -14 - h. Solve 3*v + i = 5*q + 5, v + 16 = 5*q for q.
3
Suppose 2*b = -j - b - 56, -2*j - 2*b = 120. Let r be 14/70 - j/(-10). Let g be -10 + 8 - (-1 + r). Solve 20 = -4*m - 0*m, -2*z = m - g for z.
5
Let f = 2 - -2. Let m be (-1)/(f/(8*-1)). Suppose -m*b = o + 2*b - 5, 3*o = 4*b + 15. Solve -r = 3*c - 12 + 1, 4*c = -o*r for r.
-4
Let l = -784 - -784. Solve 0 = -l*v - 5*v + 2*d + 27, -v + 6 = -d for v.
5
Let k(d) = 3*d + 16. Let i be k(0). Suppose -70 = 5*x - 190. Let a be (i/x)/((-2)/(-57)). Solve -5*u + 2 = -j + 7, 5*j + a = 3*u for u.
-2
Suppose z = -3*c + 16, -6*z + 4 = -4*c - z. Suppose 0*k = -c*k. Let s = -42 + 47. Solve k = -l - w + s, l + w - 9 = -w for l.
1
Suppose 0*d - 4*d - 3*l + 23 = 0, d - 2 = 3*l. Solve 0 = -6*y + 9*y + 3*a - 24, -y + d*a - 10 = 0 for y.
5
Let v be 16 + (5 + 1 + -5)/(-1). Solve 4*b + 4*x = 3*b - v, -5*x - 50 = -5*b for b.
5
Let u(g) = -2*g + 5. Let l be u(-3). Suppose -6*a + l*a = -110. Let v = 24 + a. Solve 2*k - 4*k = 2*j, 0 = -2*k + v*j for k.
0
Let b be (-13 - -18) + -7 - -8. Solve 5*v = 4*i + 17, i + 18 = b*v - 2*v for i.
2
Suppose 3*z + 6*j = 4*j - 1, -3*z + j = -14. Let c = -192 - -195. Suppose 74*o + c = 75*o. Solve -5*f + 3*x = -14, -o*f + 4 = -z*x - x for f.
4
Let y(v) = -9*v - 4 - 10*v - 3 + 20*v. Suppose -d = -4, -4*d + 9*d - 47 = -3*b. Let t be y(b). Solve -5*q + 3*w - 7 = 0, -t*q - 2 = -2*w - 0 for q.
-2
Let d(b) = -2*b. Let o be d(-2). Suppose o*f = 8, -3*a + a + 38 = -3*f. Let x be -2*(-27)/6 + -5. Solve 2*i - 5*s = a, -x*i = s - 0*s for i.
1
Let y(d) = -d**3 - d**2 + d + 8. Let l be y(-2). Solve 0 = 4*g - j + 14, 6*g - g = 5*j - l for g.
-4
Let i be (59 - 4)/11*1. Solve 4*l + 17 = -3, 3*l = -i*c for c.
3
Let y be (130/520)/((-2)/(-16) - 0). Solve b = 5, -4*b = -y*x - 30 + 10 for x.
0
Let t be (5*1/(-15))/((-2)/18). Solve -2 = 4*a - 2*s + 2, t*s = 4*a for a.
-3
Let c(l) = l. Let m = -12 + 16. Let w be c(m). Suppose w*f - 2*f - 10 = 0. Solve -k - k = -3*b - 9, b = f*k - 16 for b.
-1
Suppose t - 4 = -8. Let g be ((-12)/8)/(3/t). Suppose 0 = 5*j - 2*k - g, 2*k + 4 = 2*j - 2*k. Solve -3*o = -3*h - o - 4, 5*h + 5*o + 15 = j for h.
-2
Let w(v) = -v**2 - 17*v + 3. Let h be w(-17). Solve -h*a = -3*s + 4 + 5, -a - 3*s + 17 = 0 for a.
2
Let v be 36/30*55/33. Solve h + 5*w + v = -11, 3*h = 4*w - 1 for h.
-3
Let n be ((-24)/(-28))/((-4)/(-14)). Solve 0 = -4*c + z, 1 = 3*c - n*z + 2*z for c.
-1
Suppose 4*u = -51 - 45. Let x = u - 12. Let p = x + 42. Solve 2*b - 4*b = -q - 10, -q + b = p for q.
-2
Suppose 14 = 3*z - 5*y, -14 = -2*z - y - 9. Solve 3*o + 4*p + 20 = 0, -9*o = -6*o + z*p + 18 for o.
-4
Let h be 0*(-9 - (-7 + -1)). Solve 5*x + 5*k - 20 = h, 2*k + 0 - 2 = 0 for x.
3
Let w = -549 + 559. Solve 0 = -2*m - 5*f + w, 2*m - m + 2*f - 4 = 0 for m.
0
Let o be -2*3/6 - -6. Let i(k) = k. Let t(z) = -6*z + 1. Let a(x) = 4*i(x) + t(x). Let m be a(-1). Solve 23 = o*c - 4*v, -m = 5*c - 2*v - 22 for c.
3
Let i be 42*10*(-2)/(-70). Solve -4*x - 4*y + 24 = 0, 0*y + i = 4*x + y for x.
2
Suppose -3*k = 4*g + 38, 3*g - 7*k + 6*k + 22 = 0. Let v = g + 31. Solve -v = -5*p + 2*j, -4*p - 5*j + 3 = 11 for p.
3
Let b(q) = -2*q + 2 + 5 + 3*q - 2. Let k be b(-5). Suppose p - 4 = -0*p + 2*j, 0 = -p - 5*j + 4. Solve -10 + 2 = -u - 4*n, -p*u + 4*n - 28 = k for u.
-4
Suppose -10 = -2*k + 4*x, -4*x - 19 = 9*k - 14*k. Solve -4*w = k*m + 2, -3*m + w - 2*w = 5 for m.
-2
Suppose -2*i + 4*b + 21 = i, 5*i + b - 12 = 0. Suppose 2*a = -5 + 9. Suppose i - 9 = -a*c. Solve -2*l + 25 = c*m + 2*m, l - 5 = 0 for m.
3
Let w = -50 - -55. Solve -a = -3*v + 4, -v = -w*v - a + 10 for v.
2
Let p(b) = 7*b - 33. Let g be p(9). Let y be (-24)/g*60/(-8). Solve 4*s = y*c - 2*c - 4, -1 = c + s for c.
0
Suppose -4*d + 10*m - 60 = 5*m, 0 = -4*d + 2*m - 48. Let z = -6 + 4. Let k be 5/z*12/d. Solve k*r - 4*n + 5 + 8 = 0, 2*n - 13 = -5*r for r.
1
Let s be (-21)/(-14) + (-23)/(-2). Suppose -s*r + 9*r = -20. Solve -5*y = -0*l - 5*l - 10, -16 = r*l - 3*y for l.
-5
Let y(j) = -2*j**2 + 27*j + 48. Let g be y(15). Solve 0*u + 2*i - 18 = -4*u, -3*u + g = -2*i for u.
3
Let b be (-7 - -21)*4/14. Solve -y + 4 = 2*x, -y - 7*x + 3*x + b = 0 for y.
4
Let b be 1/1*(-15 + 4). Let z = b + 15. Suppose z*c - c = 84. Solve 5*h - 3*p + c = 0, -6*h - 3*p - 17 = -2*h for h.
-5
Let s(m) = -m**2 - 10*m - 1. Let j be s(-6). Let l = -25 + j. Let n(w) = w**3 + 3*w**2 - w - 1. Let t be n(l). Solve 2 = i + 2*u + t, 5*u = -2*i - 9 for i.
3
Let d be (-8)/(-6)*(-120)/(-32). Suppose 3*n + 3*o = 6, -2*o + d*o = 2*n + 11. Let j = n + 5. Solve 1 + 21 = -3*l + 5*v, -j*v + 17 = -3*l for l.
1
Suppose 178 = 3*i - 62. Let d = i - 68. Solve -3*m = 3*l + d, m - 3*l - 18 = -6 for m.
0
Let o = -3 - -7. Suppose 0 = -3*y - o + 16. Solve 14 = -2*i - 2*s, y*i + 2*s = 8 - 28 for i.
-3
Let u be ((-8)/(-6))/(340/8925). Solve p - 22 + 7 = -3*y, 0 = 5*y + 5*p - u for y.
4
Let h be (-1)/(-2)*(-80)/(-10). Suppose -h*d - p = -2 + 3, 0 = -3*d - 3*p - 3. Solve n = 4 - d, -5*n + 32 = -4*i for i.
-3
Let a be (-2)/4 - ((-2561)/2)/(-13). Let v be (-4)/(-22) + (-378)/a. Solve -44 = -5*w - v*z - 13, 3*w + z = 13 for w.
3
Suppose u + 2*a = 5 + 9, -5*u + 4*a = 0. Suppose -y + 42*g - 14 = 37*g, 3*y + 5*g = 38. Solve 5*l = 2*l + u*z - y, 4*z = -5*l + 22 for l.
2
Let j = -4 - -1. Let a be 105/10 - j/(-2). Let h be (-12)/9*a/(-2). Solve 3*z + 3*g - 15 = 0, -z - 2*g = -h*g for z.
4
Suppose -2*s + 6 = s. Let o be s/(-9) + (-548)/(-36). Suppose 0 = k + 4*k - o. Solve k*y = 2*a - 5, 0*y - 3*y - a = 20 for y.
-5
Let a(s) = -62 + 54 - s + 26. Let f be a(13). Solve 4*g = f*m - 19, -4*g + 2*m - 10 + 0 = 0 for g.
-1
Suppose -5*f = 5*j - 70, 3*f - 7*f + 32 = -2*j. Solve -f*q + 6*q - 10 = -2*m, q + 4 = -m for q.
-3
Suppose -v - 5*v + 18 = 0. Let y(o) = -o**2 + 5*o - 1. Let n be y(v). Solve 2*x = -n*h + h - 6, 2*x = -2*h - 4 for h.
-1
Suppose s + 187 = 189. Let n be 0/(12/(-4 - s)). Solve 4*f = 5*g - 7, -3*g + n*f + f = 0 for g.
-1
Let g be (3 - 6)*(-4 + 3). Suppose 0*z = g*z - 78. Suppose 5*d = 2*o + z - 8, -5*d = 2*o - 22. Solve 0*x + 4*x - 4 = 3*j, -x = -o for j.
0
Let y be (1/(-6))/(11/(-1518)). Solve -r - b - y = 3*r, -4*r + 5*b - 5 = 0 for r.
-5
Let g(k) = -4*k**2 - 188*k + 7. Let j be g(-47). Solve 6*o + v = j*o + 2, -3*v = 5*o - 6 for o.
0
Let o(k) = -k**2 + 28*k - 72. Let h be o(25). Solve -2*g - h*d + 5 - 2 = 0, g + 9 = 2*d for g.
-3
Let g be (10/15)/((-1)/(-6)). Suppose -g*i = -2*x - 12, 2*x + 0*i - 12 = -4*i. Solve x = -5*s - 1 - 9, -2*s = 2*w - 4 for w.
4
Let j(b) = b - 6. Let u be j(20). Solve 0 = -0*v + 4*v + 20, 3*m + u = -4*v for m.
2
Let g = -268 - -272. Solve -2*m - 8 = p, p - g*m - 22 = -6 for p.
0
Let m(h) = -12*h. Let j be m(0). Let v(w) = w**2 + 4*w + 3. Let x be v(-3). Solve -3*a = -15, 2*c + x*a - 3*a + 7 = j for c.
4
Let r(l) = -l**3 + l**2 - l + 4. Let p be r(0). Let v be 30/6*-68*(-1)/5. Let k = 70 - v. Solve 0
|
{
"pile_set_name": "DM Mathematics"
}
|
12)/4 + 0 - -4. Let o = 0 - 2. Put o, l, 2 in ascending order.
o, l, 2
Let b = 2 - 0. Let o be (-3)/(-6) - (-69)/6. Let u = o + -17. Put b, 4, u in decreasing order.
4, b, u
Suppose -14 = -4*z + 2*z. Let c = -12 + z. Sort c, 0, 4 in descending order.
4, 0, c
Let y = 0.152 + 0.148. Put 4, y, 0, 2 in decreasing order.
4, 2, y, 0
Let p = 3.99 - -0.01. Let q = -27/2 + 13. Let x be (-3)/((-57)/6 + -1). Put q, x, p in descending order.
p, x, q
Let g = 0 + 1. Let h = 291 + -291.5. Sort h, -1, g in increasing order.
-1, h, g
Suppose -20 = -2*j + 12*j. Sort -3, j, 2, 4.
-3, j, 2, 4
Let j(d) = -d**2 + 4*d - 3. Let q be j(-7). Let o be 2/(-6) - q/15. Suppose -6*p - 15 = -p. Sort p, o, 4 in descending order.
o, 4, p
Let m(f) = -f**3 + 10*f**2 - 5. Let v be m(10). Sort -3, 4, v, -1 in descending order.
4, -1, -3, v
Suppose -4*q - 2 = v + 1, 16 = 4*v + 2*q. Let g be (-16)/18*(-6)/4. Sort g, v, 2/7.
2/7, g, v
Let h be 167/(-396) + (-68)/(-18) + -4. Let z = 477/308 - 11/7. Let b = z + h. Sort b, -0.2, -3.
-3, b, -0.2
Let s = 1567/465 - 28/31. Let h = s + -9/5. Let d = h - 7/9. Sort -2, d, -3/2.
-2, -3/2, d
Suppose 4*z - 10 = 3*p, z + 0*p = 2*p. Let i = 20 + -5. Suppose 0 = 3*j - i. Put 1, j, z in ascending order.
1, z, j
Let n be ((-12)/8)/(2/(-4)). Suppose -n*l + 6 = -3. Put l, -2, 2/5 in increasing order.
-2, 2/5, l
Let b = 0.1 - 0.1. Let o = 1.53 - 0.23. Let i = o - 1.6. Put -4, b, i in decreasing order.
b, i, -4
Let d = 11222/23 + -488. Put d, 1, -3/7, -1/7 in increasing order.
-3/7, -1/7, d, 1
Let g(l) = -l + 1. Let x be g(-1). Put x, -1, 3, 1 in increasing order.
-1, 1, x, 3
Suppose -k = -0*k + 3. Let l be (3/(-2))/(k/(-4)). Suppose -4*s + n + 4 = 24, -4*s - n = 20. Sort 2, s, l.
s, l, 2
Let g(b) = b**3 + 4*b**2 + 2*b + 2. Let v be g(-3). Let o be (-2)/19*(-4 + v). Put o, 2/5, -1/5 in descending order.
2/5, o, -1/5
Let q be 14/(-4) + 3/6. Sort q, 5, 1/2 in increasing order.
q, 1/2, 5
Suppose 2*x + 4*i = -14, 3*x + 3*i = i - 17. Let s = -5 - x. Let u(n) = n - 5. Let w be u(4). Sort -4, s, w in decreasing order.
s, w, -4
Let i = 0 - 3. Let y = -3.08 + 0.08. Let q = y - -7. Put i, q, -0.3 in decreasing order.
q, -0.3, i
Let v(u) = u**3 - 5*u**2 - 4*u - 8. Let b be v(6). Let y(p) = 2*p - 1. Let k be y(-2). Suppose -t + 3*t = 6. Put k, t, b in decreasing order.
b, t, k
Let o = 5 + 0. Let x be (-5)/(10/6) - -1. Sort o, x, -4 in decreasing order.
o, x, -4
Let k be 21/4 - (-2)/(-8). Suppose -4*f + f = 3*x, f = 3*x - 16. Suppose 0 - x = -2*u. Put k, -2, u in descending order.
k, u, -2
Suppose 0 = 2*b - 5*d - 9, -3*d - 2*d = 4*b + 27. Suppose 0*x = 4*x + 4. Let r = b - x. Put r, -1, 5 in ascending order.
r, -1, 5
Let z be (454/8 - -3)/(-1). Let p be (-3)/3 + -2 - 56. Let l = p - z. Sort 2, 0.1, l in descending order.
2, l, 0.1
Suppose -6*d + 5*w = -2*d + 8, -3*d + w - 6 = 0. Suppose 3*s = -7*x + 2*x - 20, -4*s - 18 = -2*x. Sort 2, d, s in increasing order.
s, d, 2
Let z be (8/10)/((-1)/(-10)). Let t(h) = h**3 - 8*h**2 + h - 6. Let p be t(z). Put p, 5, 3 in descending order.
5, 3, p
Let y = 52 + -49. Sort 1, y, 4, 0 in descending order.
4, y, 1, 0
Let a(t) = 0*t - t + 5 + 3*t - 3*t. Let r be a(7). Sort r, -7, 0 in decreasing order.
0, r, -7
Let q(u) = u**2 - 2*u + 1 + 0*u + u**2 - u**3. Let l be q(2). Suppose k + 3 = 3*b - 2*k, -2*k = 10. Put 3, l, b in descending order.
3, l, b
Let q be 18/3*(-2)/9. Let t = 80 + -82.18. Let m = 0.18 + t. Sort 2, m, q in descending order.
2, q, m
Let t = -12 - -12. Sort t, 5, 2 in descending order.
5, 2, t
Suppose -2*y + 2 = 5*p - 16, 0 = 4*y + 3*p - 8. Put 0, y, -15 in descending order.
0, y, -15
Let x = -10 + 14. Suppose -x*s + 2*s = -2*o, -3*s + 6 = -o. Suppose -1 = 2*i - s. Sort i, -1, 4 in ascending order.
-1, i, 4
Let i = 20.9 - 3.9. Let h = -19 + i. Sort -0.06, h, 3/8.
h, -0.06, 3/8
Let a be 0 + 1 + 1 + 0. Suppose -x + 4 = -3*s, x - 4 = 3*s + s. Suppose s*u = -3*u - 12. Sort -2/17, a, u.
u, -2/17, a
Let t be 1/(13/6 + -2). Let s be 3/(-2)*(-4 + t). Suppose -h = 2*h - 6. Put h, -2, s in descending order.
h, -2, s
Suppose -c - 4 = -i, -2*c = c + 6. Suppose 5*g + 41 = -14. Let w = g + 7. Sort w, i, 4 in descending order.
4, i, w
Let w = -3/8 + 25/24. Suppose -2*g + r - 11 = 1, 0 = 3*r - 6. Put -1, w, g in decreasing order.
w, -1, g
Let y(d) = d + 7. Let g be y(-9). Put -0.5, -0.3, -3/4, g in decreasing order.
-0.3, -0.5, -3/4, g
Let q = -48 - -191/4. Let y = -647/390 + -1/130. Sort y, q, -1/9 in decreasing order.
-1/9, q, y
Suppose -4*t + t - 3 = 0. Let v = 6 + -4. Suppose -5*p + 4*y = -19, -p + 2*p = 4*y + 7. Sort t, p, v.
t, v, p
Let w = -16.5 - -8.5. Put w, 2, 0.3 in descending order.
2, 0.3, w
Let d = -0.21 - -5.21. Sort d, 2/3, -5 in decreasing order.
d, 2/3, -5
Suppose 0 = -5*q + w + 6, 3*q - 2*w + 4*w = 14. Sort -1, q, 4 in ascending order.
-1, q, 4
Let p = -97 - -102.7. Let j = -0.7 + p. Let t = j + -4.5. Put 2/3, 3, t in ascending order.
t, 2/3, 3
Let k = 6 - 6.5. Let t = k + 0.9. Sort -1/6, 4/5, t in descending order.
4/5, t, -1/6
Suppose 0 = -h + 58 - 54. Suppose -2*r = -3*q + 11, 0*q = -3*q - 3*r + 6. Sort q, -2, h in decreasing order.
h, q, -2
Let h = 5 + -4. Let t = 1.1 - h. Sort -3, 5, t in ascending order.
-3, t, 5
Let v(l) = -l**3 + 3*l**2 + 6*l - 4. Let w be 0 - -1 - (1 - 4). Let q be v(w). Let a = 0.061 + 2.939. Put q, a, -1 in ascending order.
-1, a, q
Let z(o) = -o**3 + 4*o**2 - 2*o - 4. Let c be z(3). Sort -2/17, 4, c in increasing order.
c, -2/17, 4
Let x(y) = y**3 - 7*y**2 + 6*y - 3. Let q be x(6). Suppose 6 = 4*o - o. Suppose 2 = 4*r - o. Put -4, q, r in decreasing order.
r, q, -4
Let m(d) = 2*d - 4. Let f be m(4). Let t = 0.091 + 0.909. Put 2/17, f, t in ascending order.
2/17, t, f
Let r = -67 + 68. Let m(q) = 2*q. Let n be m(1). Let f be 116/(-140) - n/(-5). Put r, -0.2, f in increasing order.
f, -0.2, r
Let h(a) = a**3 + 7*a**2 + a + 8. Let n be h(-7). Sort 2, 0, n in descending order.
2, n, 0
Suppose 3*z + 40 = -2*z. Let h(y) = -2*y**2 - 6*y**2 + 4*y**2 + 3*y**2 - 7*y + 3. Let n be h(z). Put -4, n, -3 in descending order.
-3, -4, n
Let r be 2/(-9) + (-173)/(-9). Let q = r + -14. Sort q, 1, -4 in ascending order.
-4, 1, q
Let l = 0.6 + 6.4. Let p = l - 6.5. Put -0.5, p, 3 in descending order.
3, p, -0.5
Let j = -2.65 + 2.55. Let c be (-1)/(-2) - (-1)/14. Put c, -4, j in decreasing order.
c, j, -4
Let f = -1.03 - -6.03. Sort 2/17, f, -0.2, 8 in decreasing order.
8, f, 2/17, -0.2
Let u = -12 + 18. Put u, -2, -5 in decreasing order.
u, -2, -5
Let y = 0 - -3. Suppose 0 = -3*g + g. Put 1, y, g in increasing order.
g, 1, y
Let i = -14 - -16.2. Let j = 0.2 - i. Let a = -7/11 - -9/11. Sort -3, a, j in ascending order.
-3, j, a
Let i = -0.6 + 0.65. Let t = -0.15 - i. Sort -1, 0.5, t in increasing order.
-1, t, 0.5
Suppose -2*d - 2 = 0, 11 = -0*v - 2*v + d. Put -3, -2, v in decreasing order.
-2, -3, v
Let f be 1/(((-2)/(-6))/(15/9)). Suppose 0*a = 5*a - 10. Let m be 2/4 + (-7)/a. Put f, 2/13, m in ascending order.
m, 2/13, f
Let a = -13 - -14. Put 4, -3, a in decreasing order.
4, a, -3
Let t = -268 + 1336/5. Sort 1/2, 9, t in increasing order.
t, 1/2, 9
Let r = 3 - -7. Sort -3, -4, r in decreasing order.
r, -3, -4
Let b(h) = -h**2 - 7*h - 5. Let u be b(-6). Suppose -u = 2*x + 3. Let w be (-3)/(-9) + 16/(-3). Put w, 0, x in ascending order.
w, x, 0
Let y(z) = 5*z + 3 - 4*z - z**2 + 5*z. Let j be y(7). Sort 3, -3/5, j in decreasing order.
3, -3/5, j
Suppose -20 = -5*z + i, -4*i + 5*i = -4*z + 7. Suppose 2*q - 4 = -2*q. Let t be 0/(0/q - -2). Put -5, z, t in decreasing order.
z, t, -5
Let d = -5 - -4.7. Let g = 12 + -9. Suppose -g = 2*w + 5, 0 = 2*h + 5*w + 10. Put 1/3, h, d in descending order.
h, 1/3, d
Let j be ((-120)/(-9))/((-3)/9). Let k be (-5)/j - 74/80. Put k, -3, 5 in decreasing order.
5, k, -3
Let j = 7.8 - 12.8. Put -0.5, 1/13, 3/4, j in increasing order.
j, -0.5, 1/13, 3/4
Let g be 6/(-4)*((-220)/114 - -2). Put g, 2, 0, -1 in increasing order.
-1, g, 0, 2
Let u(l) = -l**3 - 13*l**2 + 17*l + 37. Let j be u(-14). Sort j, 2, 4, -29 in increasing order.
-29, j, 2, 4
Let f(p) = p**2 - 6*p + 6. Let m be (-91)/(-21) + 4/6. Let d be f(m). Let n(a) = a**2 + 4*a - 6. Let b be n(-5). Put b, -2, d in decreasing order.
d, b, -2
Let p = 1 - 2. Let k be 0/((1 - 0)/p). Suppose 0 = -x + 5*r - 22, -5*r + 37 = -0
|
{
"pile_set_name": "DM Mathematics"
}
|
o 6 decimal places.
-0.000001
What is -29654963 rounded to the nearest ten thousand?
-29650000
Round 751.69226 to the nearest ten.
750
Round 795098407.1 to the nearest one million.
795000000
Round -38696243.6 to the nearest 100000.
-38700000
Round -224071910 to the nearest one million.
-224000000
What is 0.0006840677 rounded to 7 decimal places?
0.0006841
What is -110383.211 rounded to the nearest one thousand?
-110000
Round 59367.0555 to the nearest 100.
59400
Round 32.7507158 to two dps.
32.75
What is 5936.6663 rounded to zero decimal places?
5937
Round -39.715287 to the nearest ten.
-40
Round 0.000002082830551 to 7 dps.
0.0000021
Round 23.4193366 to the nearest integer.
23
What is -0.00106039911 rounded to seven dps?
-0.0010604
Round 0.22422232 to four dps.
0.2242
Round -26.59769656 to one dp.
-26.6
Round 41.1228719 to 2 dps.
41.12
What is 0.0084422751 rounded to 4 decimal places?
0.0084
What is -3042638.7 rounded to the nearest one hundred thousand?
-3000000
Round -0.44393617 to 1 dp.
-0.4
Round 7430751.4 to the nearest 100000.
7400000
What is 4717992.31 rounded to the nearest one thousand?
4718000
What is 0.00020594224203 rounded to five dps?
0.00021
What is -1329.207 rounded to the nearest 100?
-1300
Round 0.082241018 to 3 dps.
0.082
What is 21608.63314 rounded to the nearest 100?
21600
What is -209066.695 rounded to the nearest ten thousand?
-210000
What is -1032733.41 rounded to the nearest one thousand?
-1033000
What is 318441.38 rounded to the nearest one hundred thousand?
300000
What is -0.0539972253 rounded to 5 dps?
-0.054
What is -158.15298 rounded to the nearest ten?
-160
Round -244206463.9 to the nearest one hundred thousand.
-244200000
Round 150227946 to the nearest 10000.
150230000
What is -8.16192952 rounded to three decimal places?
-8.162
Round -0.0015930627095 to 7 dps.
-0.0015931
What is 0.0003710261369 rounded to 5 decimal places?
0.00037
Round 0.00123519735 to three decimal places.
0.001
Round 0.0038376071 to 5 decimal places.
0.00384
Round -822568155 to the nearest 100000.
-822600000
Round 0.000177774614 to 5 dps.
0.00018
Round -0.0032020497 to 4 dps.
-0.0032
What is 0.01071663 rounded to 4 decimal places?
0.0107
Round -0.091307976 to four dps.
-0.0913
What is 0.000129158725 rounded to 6 decimal places?
0.000129
What is 4239767.89 rounded to the nearest 1000000?
4000000
Round -75696290.3 to the nearest 1000.
-75696000
What is -107094.624 rounded to the nearest 1000?
-107000
What is 883839.14 rounded to the nearest 100000?
900000
What is -0.1882210608 rounded to 3 decimal places?
-0.188
What is -27598.358 rounded to the nearest ten?
-27600
What is -0.00469724864 rounded to 6 decimal places?
-0.004697
Round -0.00651152336 to seven decimal places.
-0.0065115
Round 0.0009039171621 to six dps.
0.000904
What is -5932.277213 rounded to one decimal place?
-5932.3
What is -9758871.05 rounded to the nearest one million?
-10000000
What is -0.0130894022 rounded to four decimal places?
-0.0131
What is 0.237603029 rounded to 3 decimal places?
0.238
Round -4347562.22 to the nearest one hundred.
-4347600
Round 2.192637263 to 2 decimal places.
2.19
Round 144918.545 to the nearest ten thousand.
140000
Round -483521842 to the nearest one hundred thousand.
-483500000
Round 31078.92443 to the nearest integer.
31079
What is -1207376170.4 rounded to the nearest 10000?
-1207380000
What is 0.0000920306017 rounded to six decimal places?
0.000092
What is -0.22273828 rounded to three decimal places?
-0.223
What is 0.000383771133 rounded to seven decimal places?
0.0003838
What is 0.081640343 rounded to two dps?
0.08
Round 11102127.277 to the nearest one million.
11000000
Round 0.000124982247 to 5 dps.
0.00012
What is -671114434 rounded to the nearest one hundred thousand?
-671100000
What is 11.1038098 rounded to two decimal places?
11.1
Round -175179.7125 to the nearest 1000.
-175000
Round -0.01871546542 to 4 decimal places.
-0.0187
Round 558323160 to the nearest one hundred thousand.
558300000
What is 784.102829 rounded to the nearest integer?
784
What is 109623163.1 rounded to the nearest 1000000?
110000000
Round -16.14699965 to one dp.
-16.1
What is 0.000011174151 rounded to six dps?
0.000011
What is 43.3052432 rounded to two dps?
43.31
What is 300524.907 rounded to the nearest 10000?
300000
Round -0.0000003619406 to 7 decimal places.
-0.0000004
What is -2052.846609 rounded to the nearest ten?
-2050
Round -0.15656910585 to 2 decimal places.
-0.16
What is -15124.17141 rounded to the nearest one thousand?
-15000
What is -0.340421594 rounded to 5 decimal places?
-0.34042
What is 65852.654 rounded to the nearest one thousand?
66000
What is 3740556.48 rounded to the nearest 100000?
3700000
Round 18.36117175 to the nearest ten.
20
What is 4723039.723 rounded to the nearest 10000?
4720000
What is -0.006885809539 rounded to six dps?
-0.006886
What is -283.098536 rounded to 0 dps?
-283
Round -37.62323276 to 1 decimal place.
-37.6
Round -880680.76 to the nearest 100.
-880700
Round 1733698.85 to the nearest one hundred thousand.
1700000
Round -49.54549 to the nearest 10.
-50
Round -1.2244423 to four decimal places.
-1.2244
Round 31859.18832 to the nearest integer.
31859
What is -0.07512635204 rounded to 5 decimal places?
-0.07513
What is -4994315.14 rounded to the nearest 1000000?
-5000000
What is -53874343970 rounded to the nearest 1000000?
-53874000000
Round 32840.82348 to the nearest 10000.
30000
What is 44.5953346 rounded to 2 dps?
44.6
What is -1.08920807 rounded to two dps?
-1.09
Round 1491901.5 to the nearest 10000.
1490000
Round -0.0002311761826 to seven dps.
-0.0002312
Round 466979150.72 to the nearest 1000000.
467000000
Round -51.160541 to two dps.
-51.16
Round 0.000291455755 to 6 decimal places.
0.000291
What is 14374065.7 rounded to the nearest 1000000?
14000000
Round 21451518990 to the nearest one million.
21452000000
Round -0.0259313667 to 5 decimal places.
-0.02593
What is 0.000094318598 rounded to six dps?
0.000094
What is 0.000063350626 rounded to six dps?
0.000063
What is 38401.43407 rounded to the nearest ten?
38400
What is -0.00106297201 rounded to seven decimal places?
-0.001063
Round 10227077.75 to the nearest 100000.
10200000
What is -21.0048774 rounded to 2 decimal places?
-21
Round 10137567.3 to the nearest 100000.
10100000
What is -0.00001936932456 rounded to six decimal places?
-0.000019
What is -1.47122642 rounded to 2 decimal places?
-1.47
Round 15.58544446 to four decimal places.
15.5854
Round 0.000330411282 to four decimal places.
0.0003
Round 14029448470 to the nearest 1000000.
14029000000
What is -5.48668401 rounded to 4 dps?
-5.4867
Round -26833.9445 to the nearest one thousand.
-27000
Round -39.2596322 to the nearest integer.
-39
Round 1355109.034 to the nearest one hundred thousand.
1400000
What is 0.000489316398 rounded to four decimal places?
0.0005
Round -9909.57919 to 0 dps.
-9910
What is -51.992307 rounded to the nearest 10?
-50
What is -16.1783431 rounded to zero decimal places?
-16
What is -184690113.2 rounded to the nearest 10000?
-184690000
What is -620090327.2 rounded to the nearest 100000?
-620100000
What is 270386290 rounded to the nearest one hundred thousand?
270400000
What is -0.00025173175 rounded to six dps?
-0.000252
Round 68252835.3 to the nearest one thousand.
68253000
Round 75.98351872 to three decimal places.
75.984
What is -454819.8 rounded to the nearest 100?
-454800
Round 12474279 to the nearest ten thousand.
12470000
Round 0.0000374339537 to five decimal places.
0.00004
What is -3023.70189 rounded to 1 decimal place?
-3023.7
What is 0.561021724 rounded to 5 dps?
0.56102
Round 0.0060775768 to three decimal places.
0.006
What is 72635.0203 rounded to the nearest 10000?
70000
What is -0.061891085 rounded to five dps?
-0.06189
Round 5945633180 to the nearest one hundred thousand.
5945600000
Round -3982.251638 to the nearest integer.
-3982
Round -15097.5729 to the nearest 1000.
-15000
What is 382.288453 rounded to one dp?
382.3
What is -4025819.956 rounded to the nearest one thousand?
-4026000
Round -2.962443437 to 3 decimal places.
-2.962
Round 627282070 to the nearest one hundred thousand.
627300000
Round -0.1607450777 to 2 dps.
-0.16
Round -0.0002792994545 to six decimal places.
-0.000279
Ro
|
{
"pile_set_name": "DM Mathematics"
}
|
= -0.2 - z. Round w to 6 dps.
0.000012
Let o be ((-1805452)/(-3) - -1) + 13/(-39). Let w = o + -378818. What is w rounded to the nearest ten thousand?
220000
Let o = 257982.500014 + -257986.5. Let t = 1 + 3. Let g = o + t. Round g to six decimal places.
0.000014
Suppose 9920 = -86*z + 96*z. What is z rounded to the nearest one hundred?
1000
Let v = -1088048255.9999993 - -1088048302. Let t = v + -46. Round t to seven decimal places.
0.0000007
Let k be 2/(2 + -4) - -16. Suppose 0 = 4*z - 2*z, -3*t - 3*z + k = 0. Suppose -2 = -2*o - 0, -597 = -t*x + 3*o. What is x rounded to the nearest 10?
120
Let u be ((-2)/3)/(-1 - 64791/(-64773)). What is u rounded to the nearest one hundred?
-2400
Let f = 165 - 164.9999973. What is f rounded to six dps?
0.000003
Let b = -24 + 15. Let l be b/(-4) - 1/4. Suppose l*o + 2*d = -53563 - 846441, 2*d - 2249996 = 5*o. Round o to the nearest one hundred thousand.
-500000
Let z(c) = -9363*c**2 - 18*c - 34. Let t be z(-2). Round t to the nearest ten thousand.
-40000
Let j(u) = -1926325*u - 175. Let m be j(-19). Round m to the nearest 1000000.
37000000
Let s = 3814469.9838563 - -0.0161437. Let z = s - 3814471.800017. Let v = -1.8 - z. What is v rounded to five dps?
0.00002
Let r = -4354 - -4034.3. Round r to the nearest 10.
-320
Let v = 488.3 + -213. What is v rounded to the nearest 10?
280
Let b = -285511 + 71021. What is b rounded to the nearest one thousand?
-214000
Let k = 4543 + -4471.86. Let g = -0.154 - -72.154. Let s = g - k. Round s to one decimal place.
0.9
Let q = 203.99961 + -204. What is q rounded to five dps?
-0.00039
Let b = 88 - 90. Let x(v) = -124*v + 2. Let q be x(b). Round q to the nearest 100.
300
Let k = -76.876 - -77. What is k rounded to two decimal places?
0.12
Let d(i) = -21889*i - 21. Let q(x) = 10944*x + 11. Let n(a) = -2*d(a) - 5*q(a). Let y be n(-10). Suppose 2*m + 415407 = y. Round m to the nearest ten thousand.
-150000
Let b = 485.0898 + -485. Let o = 0.2 + -0.11. Let u = o - b. What is u rounded to 4 dps?
0.0002
Suppose 0 = -13*s + 1545734 + 2050092. Suppose -s = 12*p + 151798. What is p rounded to the nearest 10000?
-40000
Let g = 6017 + -6016.99982145. Round g to 6 dps.
0.000179
Let l = -7.2 - 20.3. Let j = l - -40. Round j to 0 decimal places.
13
Let f = 184 + -185.615. Let g = -29.895 + 30. Let k = f + g. Round k to one decimal place.
-1.5
Let b(z) = 3*z**3 - 2*z**2 - 9*z - 4. Let y(v) = -2*v + 7. Let x be y(-3). Let u = x + -19. Let t be b(u). Round t to the nearest 100.
-700
Let x = -0.037 - 0.014. Let s = -0.0509434 - x. Round s to 5 dps.
0.00006
Let a = -16251 - -16250.989059. What is a rounded to 4 decimal places?
-0.0109
Let y = 173.52 - 11.12. What is y rounded to the nearest 10?
160
Suppose 4*g - 2*w + 4*w - 14 = 0, 4*w - 4 = 0. Suppose 2*s = -11 + g, -2*h + s + 12 = 0. Suppose h*c + 4*k = 112, 4*k - 16 = -0*k. Round c to the nearest 10.
20
Suppose -p = 4*i - 0*i - 6699996, -4*i - 4 = 0. Suppose 0 = 5*v - 4*v - p. Round v to the nearest one million.
7000000
Let h(w) = 482*w**3 + 7*w**2 + 106*w + 40. Let c be h(-34). Round c to the nearest one million.
-19000000
Let w = -372312 + 372300.00069. Let l = -2.3 - 9.7. Let f = l - w. What is f rounded to four dps?
-0.0007
Let p = -619.84 + 617. Round p to one dp.
-2.8
Let h = 6 - -1. Let l(q) = 7450*q**2 - 5*q. Let s be l(h). Suppose -5*b = -0*v - 5*v + s, -3*v + 218994 = 2*b. Round v to the nearest ten thousand.
70000
Let l = 3.99494579 + 0.00505369. Let x = l + -4. Round x to 7 dps.
-0.0000005
Let z = -142227 - -142249.7907. Let u = 22.8 - z. Round u to three decimal places.
0.009
Let q = 5522906 - 8459620. Let u = 272586 - 1189300. Let j = q - u. Round j to the nearest one hundred thousand.
-2000000
Suppose 2*y = m + 6, -4*m + 1 - 13 = -4*y. Suppose 2*c + y*c = 5980. Suppose d - 415 = -3*l, -2*l - c = -5*d + 794. Round d to the nearest one thousand.
0
Let a = 1710.99768 - 1711. Round a to five dps.
-0.00232
Let r = -73207 + 73840.86. Let u = r - 641. Let f = -0.36 + u. What is f rounded to the nearest integer?
-8
Let g = -2829 - -2829.01959. Round g to 2 decimal places.
0.02
Let c = 1161694 + -1161693.6599895. Let i = -0.34 + c. Round i to 6 decimal places.
0.000011
Let p = -6.8 + 0.8. Let g = p - -16. Let b = g + -10.007. Round b to 3 dps.
-0.007
Let p = 14638 - 14638.000007111. What is p rounded to six dps?
-0.000007
Let l = -761 - -761.0000186. What is l rounded to 5 decimal places?
0.00002
Let f = -0.1972194 - -0.1969. What is f rounded to four decimal places?
-0.0003
Let u = 253 + -253.012. Round u to 2 decimal places.
-0.01
Let o = -169 + 168.911. Let c = o + -0.076. Round c to two dps.
-0.17
Suppose -3*u + j + 1188330 = 0, 0*u + 2*j = -u + 396117. Suppose -2*c = u + 243889. Round c to the nearest one hundred thousand.
-300000
Let a = 69 + -67.38. Let i = a - 1.6019. What is i rounded to three dps?
0.018
Let x = -19 - -24. Suppose 2*r = 4*m - 138, 4*r = r - x*m - 152. Round r to the nearest 10.
-60
Let k = 19.4 - 19.915. Let t = -0.105 + k. What is t rounded to one decimal place?
-0.6
Suppose 2*m + 8 = 0, m - 5*m = -l - 18877346. Let z = l - -40377362. Round z to the nearest 1000000.
22000000
Let w(j) = -j**3 + 9*j**2 + 14*j + 23. Suppose 0 = -8*m + 6*m + 22. Let z be w(m). Round z to the nearest 10.
-70
Let n = 19801530 + -12403530. Round n to the nearest 1000000.
7000000
Let q = -1030 + 1029.9999031. What is q rounded to 5 decimal places?
-0.0001
Let n = 25.06 + -25. Let z = n - -0.072. Round z to 2 decimal places.
0.13
Let t = 168.5 + -23.5. Let d = 144.99862 - t. Round d to 4 decimal places.
-0.0014
Let q = 4.91 - 5.8. Let t = q - 36.11. Let w = t - -37.0236. Round w to 3 dps.
0.024
Suppose 4*b + 43*b - 4996100 = 0. What is b rounded to the nearest ten thousand?
110000
Let u be 1596825/(-75)*2/3. Round u to the nearest one hundred.
-14200
Let z = -131 + 393. Let i = z + -261.99999867. What is i rounded to seven decimal places?
0.0000013
Let f = 13210354.7393 + -1273.7393. Let j = f - 13209066.000038. Let w = j + -15. What is w rounded to 5 decimal places?
-0.00004
Let p = -36.078 - -36. Let z = 5.6 - 5.647. Let o = p - z. Round o to 2 dps.
-0.03
Let g(c) = 750001*c - 2. Let b be 3/5 + (-470)/(-50). Suppose 4*z = -z + b. Let v be g(z). Round v to the nearest one million.
2000000
Suppose 24 + 4 = -2*d. Let y = 17 + d. Let r be -3899998 - y/6*4. What is r rounded to the nearest one million?
-4000000
Let l = -11763228929 + 11765180659.0107. Let z = -1951647 + l. Let u = z + -83. What is u rounded to three dps?
0.011
Let v = -0.04 - -0.39. Let d = -58.35 + v. Let n = -58.31 - d. What is n rounded to one decimal place?
-0.3
Let s = 0.18988 - 0.192. What is s rounded to 4 dps?
-0.0021
Let x(b) = -6*b**2 - 26*b - 30. Let z be x(-11). Round z to the nearest one hundred.
-500
Suppose -43*d - 3484800 = d. What is d rounded to the nearest 10000?
-80000
Suppose -5*l - 2*k + 47199994 = 0, -20*l - 3*k + 47199991 = -15*l. What is l rounded to the nearest one hundred thousand?
9400000
Let s = -4.835 + 16.872. Let r = s - 12.1. Let n = r - -0.063158. What is n rounded to five decimal places?
0.00016
Let j = 0.17 + -0.52. Let x = 179.35 + j. Let m = x - 178.999927. What is m rounded to 5 dps?
0.00007
Let s = 23.295258 - -0.035742. Let a = s - 23.5. What is a rounded to two dps?
-0.17
Let k = -232 + 142. Let a = 90.00128 + k. What is a rounded to three dps?
0.001
Suppose 0 = -3*i + 2*u - 74452750, 0*i + 2*i + 4*u + 49635140 = 0. Let p = i - -14917580. What is p rounded to the nearest one million?
-10000000
Let s be ((-14)/7)/((-2)/(-237)). Let g = s - 61. What is g rounded to the nearest ten?
-300
Let s = 0.67705 - 625.69705. Let u = s + 643. Let i = -19 + u. Round i to 1 dp.
-1
Let o = -685.9998266 - -686. Round o to 6 dps.
0.000173
Let j = -0.106 + 79.106. Let p = -219.4 - -146.3. Let s = p + j. What is s rounded to zero decimal places?
6
Let i(c) be the second derivative of -2021*c**3/3 - 5*c**2 - 44*c. Let w be i(-5). What is w rounded to the nearest one thousand?
20000
Let y = 13951746 - 5721746. What is y rounded to the nearest 1000000?
8000000
Let o = -1498.83632 + 1500. Let n = 0.06898 - o. Let a = n + 1.1. Round a to three decimal places.
0.005
Let t = 90 + -85. Suppose -5*m = o - t*o + 123000008, 3*m = 3*o - 73800006. Round m
|
{
"pile_set_name": "DM Mathematics"
}
|
9
24966 divided by -438
-57
Calculate -67353 divided by 6123.
-11
-129189 divided by 2
-129189/2
Calculate -14976 divided by -1152.
13
Divide -686 by 634.
-343/317
Calculate 25198 divided by -12599.
-2
Calculate 32050 divided by -1282.
-25
Divide -2987179 by 4889.
-611
Calculate 54240 divided by -3390.
-16
Calculate -2214 divided by -35.
2214/35
Calculate -129 divided by -45.
43/15
Calculate 13 divided by 68338.
13/68338
What is 25770 divided by 30?
859
What is -53 divided by 113?
-53/113
Calculate -4 divided by -39259.
4/39259
Divide -213 by -7.
213/7
-197290 divided by 10
-19729
Divide -71668 by 46.
-1558
Divide -44210 by -22105.
2
Divide 7626 by 10.
3813/5
22 divided by -3895
-22/3895
23 divided by -218
-23/218
-416976 divided by -52122
8
What is 20 divided by -3678?
-10/1839
Calculate -2384 divided by 10.
-1192/5
Divide -432 by 27.
-16
Calculate -102192 divided by -12774.
8
Divide -2739 by -139.
2739/139
Divide -5292 by 189.
-28
What is -212 divided by -1866?
106/933
Divide 1596 by 57.
28
Divide 56976 by 2374.
24
Calculate -5702 divided by 2851.
-2
Divide 924 by -36.
-77/3
What is -244332 divided by -27148?
9
Calculate -296725 divided by -83.
3575
Calculate 46380 divided by 1546.
30
-45 divided by 6353
-45/6353
Divide -554 by 155.
-554/155
What is 7155 divided by -545?
-1431/109
-281316 divided by 476
-591
-99974 divided by 6
-49987/3
What is -126907 divided by -139?
913
What is -546448 divided by 98?
-5576
Divide -197589 by -3.
65863
What is 10280 divided by 20?
514
1908 divided by 18
106
Calculate -538395 divided by 195.
-2761
What is -273334 divided by -19?
14386
Divide -3063198 by -83.
36906
What is 700051 divided by -4?
-700051/4
Divide -157 by -4155.
157/4155
What is 15276 divided by 19?
804
What is 598 divided by 457?
598/457
Divide 735 by -156.
-245/52
-19941 divided by 6647
-3
Calculate 7728 divided by -42.
-184
What is 0 divided by 13297?
0
Divide 53055 by 1.
53055
What is -361 divided by 409?
-361/409
-129682 divided by 314
-413
-25974 divided by 999
-26
Divide -413140 by -82628.
5
Divide -77794 by -97.
802
Divide 1407108 by -2.
-703554
18 divided by -1350
-1/75
What is -4895240 divided by -4?
1223810
Calculate -39 divided by 10107.
-13/3369
-582246 divided by 9
-64694
Divide -121167 by -4.
121167/4
Divide 988001 by 7.
141143
414890 divided by -70
-5927
What is -957 divided by 33?
-29
Calculate 16491 divided by 5.
16491/5
What is 55992 divided by -1?
-55992
942305 divided by 26923
35
What is 7974 divided by -18?
-443
-89 divided by -205
89/205
What is 527104 divided by 128?
4118
-15 divided by -6536
15/6536
Calculate -15785 divided by -77.
205
Calculate 31050 divided by -450.
-69
Calculate 8 divided by 788103.
8/788103
45 divided by 54849
15/18283
Calculate 48 divided by -64.
-3/4
What is 10099 divided by 4?
10099/4
-44904 divided by -3742
12
1369080 divided by -6
-228180
Divide 8 by -3895.
-8/3895
What is 9482 divided by 702?
4741/351
What is -26936 divided by -3367?
8
56 divided by 736
7/92
What is -107304 divided by 3156?
-34
Calculate -27817 divided by -8.
27817/8
-2 divided by -348378
1/174189
What is -117 divided by 204?
-39/68
What is 15990 divided by 6?
2665
Divide -106925 by 1.
-106925
Calculate 701856 divided by 6.
116976
Calculate 227772 divided by -703.
-324
What is -330540 divided by -22036?
15
-8136462 divided by 6
-1356077
Calculate 46704 divided by 2224.
21
-7865 divided by 13
-605
What is 2927265 divided by 5?
585453
Calculate -5 divided by -72743.
5/72743
-1113546 divided by -6
185591
Calculate 117 divided by 420.
39/140
Calculate 3 divided by -41967.
-1/13989
Divide 150245 by 6.
150245/6
Divide -481494 by -18519.
26
Divide -48 by 198.
-8/33
Calculate -17696 divided by -79.
224
-92799 divided by 2
-92799/2
Calculate 178074 divided by 13698.
13
What is -2109435 divided by 421887?
-5
What is 249250 divided by -49850?
-5
21248 divided by -4
-5312
What is -128356 divided by 5?
-128356/5
Divide -372 by -1175.
372/1175
Calculate 88 divided by 21410.
44/10705
Calculate 11870 divided by -10.
-1187
What is 66286 divided by -2882?
-23
What is 39974 divided by -506?
-79
What is 447 divided by -120?
-149/40
-13 divided by -11284
1/868
Calculate -2571 divided by 3063.
-857/1021
Calculate -3 divided by -19687.
3/19687
Divide 37 by -5986.
-37/5986
What is 3 divided by 10995?
1/3665
-1809052 divided by -4
452263
Calculate 216854 divided by -22.
-9857
85290 divided by 15
5686
Calculate -2459700 divided by -819900.
3
Calculate -8994156 divided by -3.
2998052
-112840 divided by -5642
20
Divide 52975 by -2119.
-25
588266 divided by 588266
1
Divide 1 by 8669.
1/8669
Calculate 94626 divided by 9.
10514
What is -46611 divided by 9?
-5179
What is -1058200 divided by -55?
19240
894504 divided by 12
74542
Divide 9925 by 397.
25
Calculate -2561 divided by -7.
2561/7
Divide -344280 by 18120.
-19
Divide -1773312 by -6.
295552
Calculate 313 divided by 164.
313/164
Divide 1966545 by -3.
-655515
Divide 1703 by 378.
1703/378
-150 divided by -144
25/24
162188 divided by -3119
-52
Divide 1497188 by -308.
-4861
Divide -8260 by -4.
2065
What is 57904 divided by 28?
2068
What is 566 divided by 3?
566/3
Divide 46410 by -14.
-3315
What is -1337829 divided by 3?
-445943
Calculate 2 divided by 2689.
2/2689
Calculate -786068 divided by 1.
-786068
Calculate -75260 divided by -212.
355
What is -1534366 divided by -4274?
359
Calculate 112827 divided by 33.
3419
Divide -1 by -141375.
1/141375
-213828 divided by 6
-35638
Divide -2 by -16750.
1/8375
Calculate 59798 divided by -1031.
-58
51 divided by -59504
-51/59504
Calculate -89316 divided by -4.
22329
Divide -994536 by -3.
331512
What is -1139 divided by 13?
-1139/13
56686 divided by -8098
-7
Divide -3 by 143718.
-1/47906
-350 divided by -151
350/151
3 divided by -635007
-1/211669
Divide 181288 by -1.
-181288
53991 divided by 17997
3
Divide 1050 by -1494.
-175/249
What is 12828 divided by 12?
1069
What is -28746 divided by 3?
-9582
Calculate 0 divided by 48627.
0
0 divided by -23766
0
Divide 66381 by -66381.
-1
Divide -61 by -12045.
61/12045
69684 divided by 23228
3
What is 313753 divided by 6?
313753/6
Calculate -115964 divided by 106.
-1094
Calculate 109839 divided by -36613.
-3
Divide 357637 by -19.
-18823
Divide -669105 by 5.
-133821
What is 8 divided by 61042?
4/30521
71744 divided by 76
944
What is 55512 divided by 36?
1542
What is 16776 divided by -11?
-16776/11
Divide -33464 by -5.
33464/5
What is 8468 divided by 29?
292
Calculate -507180 divided by 1.
-507180
Calculate -39130 divided by 3913.
-10
What is 1638568 divided by -409642?
-4
Divide -219 by -289.
219/289
Calculate 1495 divided by 2182.
1495/2182
Divide 1004250 by -3250.
-309
-307222 divided by -1
307222
-314314 divided by -12089
26
What is -104533 divided by 1?
-104533
Calculate 11985 divided by 9.
3995/3
Calculate -134058 divided by -3.
44686
Divide -77028 by 84.
-917
Calculate 30044 divided by 116.
259
What is 914424 divided by 42?
21772
65120 divided by 20
3256
What is -1638111 divided by 6?
-546037/2
What is 174 divided by -6?
-29
Calculate -1 divided by -35968.
1/35968
Calculate 899906 divided by 7.
128558
What is -50145 divided by -6?
16715/2
21168 divided by 3528
6
Divide -14465 by 1.
-14465
Divide -265318 by 132659.
-2
What is 25905 divided by 3?
8635
What is -1 divided by 19569?
-1/19569
Divide -5 by -34374.
5/34374
Calculate -156303 divided by 21.
-7443
Divide 86351 by -5.
-86351/5
71438 divided by -34
-35719/17
-71706 divided by 34
-2109
Calculate 1107540 divided by 184590.
6
What is 53 divided by -271?
-53/271
Divide -776 by 7.
-776/7
Divide -4 by -1199491.
4/1199491
-412794 divided by 137598
-3
What is 30780 divided by 570?
54
Calculate -2975 divided by -119.
25
Divide -58335 by 10.
-11667/2
What is 295090 divided by -12830?
-23
What is 274624 divided by 10?
137312/5
Calculate 20173 divided by -1.
-20173
-22 divided by -6816
11/3408
Divide -901 by -151.
901/151
What is 41785 divided by 8357?
5
What is 4970 divided by -7?
-710
Divide -1235391 by 717.
-1723
Divide 72248 by -8.
-9031
Divide -3030523 by 2.
-3030523/2
Calculate -3 divided by -3649.
3/3649
What is 1196620 divided by 893?
1340
Divide -215430 by -5010.
43
Divide 31305 by 5.
6261
Divide 307620 by 12.
25635
What is -34075 divided by 6815?
-5
What is 1506 divided b
|
{
"pile_set_name": "DM Mathematics"
}
|
Let o = 1736 - 8721/5. Calculate the common denominator of o and k.
35
Let g be 3798/344 + 0/2. Let z = g + 52/43. Let a = 2239/630 + -68/35. Find the common denominator of z and a.
36
Let h = -45107/6 - -7539. Suppose 5*m - 1607 = 2*u, 2*u - 5*m = -3*u - 4040. Let s = 8909/11 + u. What is the common denominator of s and h?
66
Suppose 0 = -5*m - 85 + 135. Let i(a) = 2*a**2 + 6*a + 2. What is the least common multiple of i(-4) and m?
10
Suppose 110 = 4*b + 2*d, -5*b - 8*d + 142 = -4*d. What is the least common multiple of 12 and b?
156
Let k = -20 + 14. Calculate the common denominator of 36 and k/(-9) - (-137)/24.
8
Let v = 20 - -2. Suppose -t = -0*t - v. What is the least common multiple of 4 and t?
44
Suppose -4*q - 52 = -7*q - 2*h, 4*h - 90 = -5*q. Let m = 40 - 28. What is the least common multiple of q and m?
84
Let r be (-546)/9 + (-2)/(-3). Find the common denominator of -131/18 and 1/(-2) + (-125)/r.
36
Let v = 7 - 6. Calculate the lowest common multiple of v and 7.
7
Let d be ((-6)/8)/(7/56). Let g(k) = k**3 + 6*k**2 - 8*k + 3. Let r be g(d). Suppose 0 = 3*x + 18 - r. What is the smallest common multiple of x and 2?
22
Let i(l) = l**3 - 5*l**2 - 4*l - 8. Let h be i(6). Suppose -3*g + h = 1. Suppose 2*v - 10 = -3*v. Calculate the least common multiple of v and g.
2
Suppose -4*r - 50 = -3*a, 2*a - 3*r - 40 = -7. What is the smallest common multiple of a and 9?
18
Let i = 2/137 - -252/1507. Suppose 3*c - 124 = -c + 3*x, 0 = c - x - 30. Suppose 5*a = -4*k + 127, -a = k + a - c. Find the common denominator of i and k.
11
Let y be 3/(11/4 - 2). Suppose 3*s + 3*z = 51, -y*s + 3*z + 103 = -0*z. Calculate the lowest common multiple of s and 18.
198
Suppose s = -0*s + 4, -4 = -4*y + 3*s. Suppose -51 = -5*z - 3*h, -4*z = -z + y*h - 24. What is the least common multiple of 6 and z?
12
Let j = 1283 + -6452/5. Calculate the common denominator of j and 41/4.
20
Find the common denominator of 121/18 and -4 + (1335/(-110))/(-3).
198
Let q = 6588106/9 - 730482. Suppose -4*l + 2*l + 3066 = 0. Let h = q - l. Find the common denominator of h and -25/3.
9
Suppose -5*y - k = -73, 5*y + 2*k + 9 = 85. Calculate the smallest common multiple of 34 and y.
238
Let w(i) = i**2 + 5*i + 6. Let l be w(-5). Suppose -3*u + l = -0*u. Calculate the smallest common multiple of 11 + ((-15)/1)/5 and u.
8
Suppose 4*m - 37 = -3*x, 3*m - 2*x + x - 31 = 0. Let n = 139 + -137. Calculate the smallest common multiple of n and m.
10
Let o(j) be the first derivative of j**2/2 - 8*j + 5. Suppose -5*s - 5 = x, 0 = -2*x - 6*s + 2*s + 8. Calculate the lowest common multiple of 10 and o(x).
10
What is the common denominator of 67/(-14) + -1 + -2 and -47/32?
224
Let m = -12583/6 + 2092. What is the common denominator of 69/8 and m?
24
Calculate the lowest common multiple of (-3 - 7)*8/(-4) and 2.
20
Suppose 0 = -3*f + 2*x + 2*x + 92, 3*f - 97 = 5*x. Let w be (-1)/4 + 1750/f. Let u = w + -679/6. What is the common denominator of -13/14 and u?
14
Suppose 6 = 4*j - 3*d - 81, 5*d = -3*j + 87. Calculate the lowest common multiple of j and 22.
264
Suppose o = 3*o + 16. Calculate the common denominator of 37/4 and o - -6 - 130/(-32).
16
Let o = -22 + 29. Calculate the smallest common multiple of 11 and o.
77
Let a be 2*-3*(-1317)/9. What is the common denominator of 20/50 - a/220 and 103/22?
22
Calculate the least common multiple of 9 and 14/18 + 2/9.
9
Let u be (0 - 0) + 76310/16. Let s = -4781 + u. Calculate the common denominator of s and 81/4.
8
Suppose -w + 92 = 2*t - 0, 3*w - 268 = -2*t. Calculate the lowest common multiple of w and 12.
264
Let u(i) = -4*i - 4. Let n be u(-3). Suppose 0 = -0*y - 3*y. Let m = n + y. What is the smallest common multiple of 16 and m?
16
Let t = 14189/1710 + 2/855. Let n be 24*((-1)/(-2) - 0). What is the common denominator of 34/(-24)*40/n and t?
90
Let f = 124 + -208. Calculate the common denominator of -99/2 and (-1)/3 + (-889)/f.
4
Suppose 5*a - y - 382 = 0, 5*y - 234 = -3*a + 4*y. Let l = a + -55. Calculate the lowest common multiple of 2 and l.
22
Let f = -4578 + 45843/10. Calculate the common denominator of 133/24 and f.
120
Let m = 111007 + 453095. Let b be 0 - 1 - m/40. Let s = b + 14098. What is the common denominator of 139/18 and s?
180
Find the common denominator of (17/1)/((-20)/2) and -23/9.
90
Let n = -88/7 - -531/35. What is the common denominator of 101/4 and n?
20
Suppose 9*m + 25 = 4*m - p, 0 = -5*m + 3*p - 25. Let i(y) = -y - 11. Let g be i(m). Calculate the common denominator of -75/2 and g/(-3) + 46/20.
10
Calculate the least common multiple of (249/(-6))/(1/(-2)) and 11.
913
Let h be ((0 - -4) + -2)*2. Suppose -90 = -9*t + h*t. Let n(q) = q + 8. Calculate the smallest common multiple of n(0) and t.
72
Calculate the common denominator of -33/10 and ((-17)/8 - -2)/(32/624).
80
Let u = -51427/8 - -6437. Calculate the common denominator of u and 46/3.
24
Let c = 22 + -8. Suppose 0 = 4*h - 18 - c. What is the smallest common multiple of 2 and h?
8
Let j = -56981/20 + 2847. Let x = 502709/18 - 27942. Let t = x - -13. What is the common denominator of j and t?
180
Let f(h) = h + 4. Let c be f(4). Let v = c - -6. What is the lowest common multiple of 22 and v?
154
Let q(l) = l - 2. Let f be q(0). Let c = -13 - -37. Find the common denominator of (-10)/f*16/(-22) and c.
11
Let i(n) = -8*n**2 - 3*n + 2. Let h be i(2). Find the common denominator of 0/(2*-1) + 28 and 773/(-36) - 8/h.
4
Let y = 162 + -96. Suppose 3*u - y = -6. What is the smallest common multiple of u and 8?
40
What is the common denominator of (348/(-56) + -2)/1 and -23/10?
70
Calculate the common denominator of (-71)/(-16)*(-48)/(-84) and 29/28.
28
Suppose 2*b - 65 = -5*y + 27, 3*y = -3*b + 57. Let z = y + -7. Calculate the least common multiple of z and ((-24)/9 - -2)*-6.
44
Suppose 2*s = -c - 0*s + 20, 2*s - 10 = 0. Let z be (c/30)/(1/(-6)). Let i = 2 - z. What is the lowest common multiple of i and 3?
12
Let t = 393/59 + -11971/1062. What is the common denominator of t and -97/12?
36
Let d(c) = -c**3 + 8*c**2 + c - 9. Let i be d(8). Let m be i/4*2*10. Find the common denominator of (-36)/m*-1 + 0 and -8/3.
15
Let r = 1082 + -3191/3. Calculate the common denominator of r and -36.
3
Find the common denominator of -51/14 and (6/5 + -1)*(-136)/32.
140
Let a = -11609/5 + 8091463/3485. Let q = -18104/6273 + a. What is the common denominator of q and 41/2?
18
Let c(p) = p**2 + p + 1. Let n be c(-6). Suppose -2*d - 5*j + n = 0, d - 5*j + 7 = -0*d. What is the lowest common multiple of d and 10?
40
Let j = -11 - -7. What is the least common multiple of j/6*6/(-4) and 5?
5
Let s = -2/1723 + 84431/3446. Find the common denominator of -54/11 and s.
22
Let y = 2 - -3. Let u be -1*29 - (-1)/1. Let o = -20 - u. What is the least common multiple of y and o?
40
Suppose v - 53 = -14. Find the common denominator of v and (66/36 + -1)*28/(-30).
9
Let n be (-30)/(-8) + 3/12. What is the common denominator of 290*(4 + (-388)/48 + 4) and 6/n*9/2?
12
Let v = -4 - -6. Let z(w) = -6*w. Calculate the smallest common multiple of z(-3) and v.
18
Let m(n) = 7*n**2 + 1. Let h(p) = 3*p**3 - p**2 - p + 1. Let g be (-2)/(-6) + 2/3. What is the least common multiple of h(g) and m(-1)?
8
Let m = 97 - 67. What is the smallest common multiple of m and 21?
210
Let q(p) = -2*p - 14. Let z(h) = h**3 - h**2 - 2*h + 2. What is the least common multiple of z(2) and q(-12)?
10
Let z(u) = 383*u + 6. Let d be z(-7). Let h = -13326/5 - d. Find the common denominator of h and 89/66 + 2/(-11).
30
Let j = -593356/15 - -38655. Let g be (1/3)/((-2)/5476). Let f = j - g. Calculate the common denominator of 43/4 and f.
20
Let q = 4 + 3. Calculate the smallest common multiple of q and 1.
7
Let o = 2 + -2. Suppose 0 = -3*v - o - 3. What is the common denominator of (225/(-24))/3 + v and -9/10?
40
Let o be 4 + 0 + 5/(-1). Let y = -5 + -4. Calculate the common denominator of 39/8 and 588/16*o/y.
24
Let p(x) = -x**3 - 8*x**2 - 3*x - 3. Let k be p(-8). Suppose 3 = -t + k. What is the least common multiple of t and 12?
36
Let c = -2 - 16. Let l = -47 + 115. What is the common denominator of 50/3 and 2 - (-3 - l/c)?
9
Let i be (10/(-4))/(1/(-2)). Let n(k) = 823*k - 6. Let h be n(i). Let t = 36914/9 - h. What is the common denominator
|
{
"pile_set_name": "DM Mathematics"
}
|
- -13.9. Let i(k) = -k**3 - 26*k**2 + k + 29. Let d be i(-26). What is the fourth biggest value in 4, 1/18, d, b?
b
Let c = -23/50 - 1/25. Let t(f) = f**3 + 9*f**2 + 11*f + 20. Let q be t(-8). What is the biggest value in 4, c, q?
4
Let x = -106 + 101. Let u = -219 + 211. Which is the third smallest value? (a) 3/5 (b) u (c) -2 (d) x
c
Let h = 23.6 - 15.95. Let u = h + 2.35. Let q = -5 + 10. What is the biggest value in 4, u, q?
u
Let x = -401.6 + 465. Let j = -70 + x. Let q = j - -6.9. What is the third biggest value in -0.4, q, 5, -0.2?
-0.2
Let w = -2.1 - 2.9. Let l = 9.6 + w. Let p = 0.4 + l. Which is the second biggest value? (a) p (b) 3 (c) 0.3
b
Let t = 7972 + -7970. What is the third smallest value in t, -4, -0.5, 18/5, -0.7?
-0.5
Let i = 0.08 + -2.08. Let f = -3254.5 - -3254.5. What is the fourth biggest value in f, 2/63, 0.2, i?
i
Let k be 2/3 + (-2 - -1). Suppose 14 = 5*a + 29. Let u be (-154)/(-49) + a + (-9)/(-35). What is the third biggest value in -2, k, u?
-2
Let p = -1.726 - -2.226. Let x = -11 - -10. What is the second smallest value in x, p, -14?
x
Let l = 206 - 613/3. Let s = 80 - 80.21. What is the third smallest value in 1/2, l, s?
l
Let f = 29/2 - 14. Let a = -273 - -498. Let q = 221 - a. What is the smallest value in q, -2/13, f?
q
Let i = 218.28 + -218. Let b = 0.24 - i. What is the smallest value in b, 2, -4?
-4
Let w = -0.3 + 0.1. Let c be (4 - (1086/(-135))/(-2))/(379/(-2274)). What is the third biggest value in c, w, 1/2, -0.4?
w
Let n = -0.42899 + 0.12899. What is the second biggest value in -12, 4/7, n?
n
Let m = -1.9 + -1.9. Let j = 8.8 + m. Let p(h) = -3*h - 11. Let w be p(-5). What is the second biggest value in -2/13, w, j?
w
Let t = -6409 - -6408. Which is the fourth smallest value? (a) -95 (b) 1/3 (c) t (d) -1/5 (e) -0.3
d
Let l be (1/(-11))/(3/(-6)*29). Let w be (-16)/(-6) + 78/(-26). Which is the second biggest value? (a) -1/2 (b) w (c) l
b
Let y = -8394 + 7649.2. Let u = y - -745. Which is the second biggest value? (a) 6/17 (b) u (c) 8
a
Let u = -24677 + 24677.5. Which is the biggest value? (a) -2/7 (b) u (c) 1211
c
Let m = 20717 + -20717.1546. What is the biggest value in 5, m, -4/7?
5
Let v = -158 - -194. Let x be (v/(-1))/(-9) + (-1 - 6). Which is the fourth biggest value? (a) 12 (b) -2 (c) x (d) 5
c
Let z be (9 - 13/((-429)/(-374)))*(-4)/(-42). Which is the fourth smallest value? (a) -5 (b) 0.1641 (c) z (d) 2
d
Let p be (-2)/(149/((-60)/8 - -5)). Let d = 243/1639 + p. What is the smallest value in 0.3, -1, 8, d?
-1
Let j = 15.345 - 0.205. Let l = 1.14 - j. Let f = 8.5 + -9. Which is the second smallest value? (a) l (b) f (c) -3
c
Let m be (12640/104)/(-5)*-6. Let y = m - 146. Which is the second biggest value? (a) 2 (b) -273/2 (c) y
c
Let z be -1*3 - (-363)/30. Let s = z - 33/5. Let a = -1256 - -1258. What is the third biggest value in -3/2, s, a?
-3/2
Let s(o) = 2*o + 7. Let i be s(-5). Let f be (96/(-32))/(6/4). Which is the fourth smallest value? (a) 2/7 (b) -0.06 (c) f (d) i
a
Let r = -14580 + 14580.5. Which is the third smallest value? (a) r (b) 5 (c) -505
b
Suppose m + 74 = 10. Let r be (-30)/(-7)*406*(-4)/m. Let w = r - 108. What is the second smallest value in -1, w, 1?
w
Let k = 6 - -12. Let f = 14 - k. Which is the second smallest value? (a) f (b) 0.1 (c) 1.3
b
Let t = -0.0039 + 36.8039. Let w = -27.2 - t. What is the second smallest value in w, -0.3, 2, 4?
-0.3
Let u = 14.28 - 0.28. Let n(p) = p**2 + 5003*p - 15018. Let c be n(3). What is the biggest value in c, u, -0.4?
u
Let x = 6229.7 + -6230. Which is the second biggest value? (a) -1491 (b) -0.5 (c) x
b
Let o = 177.74 + -176. Let d = -1.84 + o. Let q = 0 - -1. What is the second biggest value in q, 4, d, 7/5?
7/5
Let q = -18 + 12. Let j = 143.1 + -143. Let s = -189 - -189.3. What is the smallest value in j, q, s, 0.2?
q
Let h = 6177.1 + -6177. Which is the fifth smallest value? (a) -0.5 (b) 0.5 (c) h (d) -22 (e) -2/19
b
Let l = 43.1 - 44. Suppose 0 = -2*n + 2*n - n. Suppose n = -4*g - 4*s - 3 - 21, -5*s - 10 = 0. Which is the third biggest value? (a) -1 (b) g (c) l
b
Suppose -113 + 308 = -2*n - 311. What is the second smallest value in 6, 1/4, 0.4, n?
1/4
Let x = -0.051763 - -0.351763. Suppose 0 = 4*v - 3*o + 67, 3*o - 7*o = 4*v + 88. Which is the smallest value? (a) v (b) x (c) -1/3
a
Let g be (((-140)/(-25))/7)/(1/(-75)). Let z be 2/(5*8/g). Suppose a = -2*a - 144. What is the biggest value in 2/7, z, a?
2/7
Let p = 7.3 - 7. Let v be (12608/12)/4 + -1. Let o = v - 262. Which is the second smallest value? (a) -0.4 (b) 1 (c) p (d) o
d
Let u = -164/133 + 18/19. Let w be (7 - 2) + 0/(-2). Let v = 2189/8772 + 1/2193. Which is the fourth biggest value? (a) v (b) 0.02 (c) w (d) u
d
Let q = 975.4644 - 0.0644. Let o = q + -975. Let i = -5 + 3. What is the second smallest value in o, i, 3?
o
Let r = 0.00687 - 0.10687. Let l be 1088/312 + 2/(-13). Which is the biggest value? (a) l (b) -3 (c) r
a
Let j = 29.3 + -29.2. Which is the third smallest value? (a) 0 (b) j (c) -0.033 (d) -3
a
Let r = 5 + -4.992. Let w be 13 + 89*7/(-49). Which is the third smallest value? (a) r (b) -2/13 (c) w
c
Let y = -30974/6431 - -282/59. Let f = y + 238/545. What is the fourth biggest value in -5, f, -0.3, -2?
-5
Let y be ((-18)/80)/(35/((-21560)/(-66))). What is the third smallest value in y, 10, -3?
10
Let w = 6422.6 + -6423. What is the fifth smallest value in -3, -0.6, -0.3, -10/9, w?
-0.3
Let t be (-506)/168 - 17/(-68). Let l = t - -17/7. Which is the second biggest value? (a) 5 (b) -3 (c) 2/11 (d) l
c
Let k be (-6)/4*8/90. What is the second smallest value in 0.4, k, 4, -83?
k
Let t = -8 + 6. Let w = 2461 + -2465. Which is the smallest value? (a) 1 (b) 2/17 (c) t (d) w
d
Suppose 2*u = 3*u. Let m = -99 + 102.7. Let r = m + -0.7. What is the second smallest value in u, r, 1?
1
Let z = 105.13 + -105. Let c = z + 1.27. What is the second smallest value in c, 3, -1/2, 2?
c
Let z be (11 + (-292)/(-30) + -3)*-3. What is the second biggest value in -4, z, -1?
-4
Let w be ((-13)/((-455)/10))/(56/(-49)). Let k(t) = -t - 1. Let g be k(-1). Which is the biggest value? (a) -3 (b) -4 (c) g (d) w
c
Let r = -224 + 222. Which is the third smallest value? (a) r (b) -1/5 (c) -0.5 (d) 61 (e) -0.1
b
Let z = 4872 + -4871. Which is the second biggest value? (a) 39 (b) z (c) 6/7
b
Let m = 2.8 - -1.2. Let o = -0.59 + 0.09. Which is the third smallest value? (a) m (b) o (c) -2/11
a
Let o = -28 + 28.04. Let v = -0.1602 + 0.1602. What is the second smallest value in v, -0.5, o?
v
Let p = 1.67 - 10.67. Let k = 183/470 - -1/94. What is the fourth biggest value in -2/7, p, -0.1, k?
p
Let f(l) = 9*l**3 - 16*l**2 + 36*l - 17. Let d(j) = 2*j**3 - j. Let r(a) = 4*d(a) - f(a). Let t be r(13). What is the second smallest value in t, -13, -0.1?
-0.1
Let u = 6.5 + -38.5. Let q = -32.3 - u. Let h = 2.23 + -15.23. What is the third smallest value in -4, h, q?
q
Let i = -83.2 + -9.8. Let f = -179 - i. Let s = f - -81. Which is the second smallest value? (a) 3/11 (b) s (c) -4
c
Let i = 113 - 118.1. Let o = i - -5. Let k = 6.0416 + -0.0416. Which is the second smallest value? (a) k (b) o (c) 1
c
Let g = -569/5 - -115. Let f = 3.63675 + 0.36325. Let c = 110/657 - -4/73. What is the second biggest value in c, g, f?
g
Let h = -10743 - -10734. What is the second smallest value in -2, 7/11, h?
-2
Let t = 0 + 0. Let h = 114 - 110. Let n = 0.28 - 5.28. What is the second biggest value in n, t, h, 1?
1
Suppose 1056*n - 80 = 1060*n. Let j be (-12)/n*(-15)/(-6) + -1. Which is the biggest value? (a) 5 (b) 0.13 (c) j (d) -1/3
a
Let g(f) = -f**3 - 5*f**2 - 4*f - 5. Let c be g(-5). Let v be (5 - -1)*5/c. What is the third biggest value in v, 36, 1/2?
1/2
Let m = 24 - 24.4. Let z = 19 + -19.17. Let d = z - -0.17. What is the third biggest value in d, 4, m?
m
Let f be -3 + 12*(-98)/(-420). Let x = -9 + 8.9. Which is the third smallest value? (a) 175 (b) x (c) f
a
Let r = -101 + 507/5. Let q = 824.9 - 824. What is the third smallest value in r, 7, q?
7
Suppose 4*v - 12 = 2*x - 4, 0 = v + x - 8. Let g be 418/(-99) - (0 - v). Which is the third smallest value? (a) g (b) 3 (c) -0.18 (d) 2/3
d
Let l = -54
|
{
"pile_set_name": "DM Mathematics"
}
|
*w**4 + 18*w**3 + 12*w**2 - 72*w - 96 = 0?
-4, -2, 2
Factor d**2 - 3*d - 4.
(d - 4)*(d + 1)
Suppose l**2/2 + 130*l + 8450 = 0. Calculate l.
-130
Suppose -5*r**5 + 19*r**4 + 54*r**3 - 130*r**2 + 47*r + 15 = 0. What is r?
-3, -1/5, 1, 5
Factor -2*w**3 - 12*w**2 + 74*w - 60.
-2*(w - 3)*(w - 1)*(w + 10)
Let 4*f**2/7 - 80*f/7 + 204/7 = 0. What is f?
3, 17
Let -2*q**2/9 + 1018*q/9 - 1016/9 = 0. Calculate q.
1, 508
Solve 4*t**5 + 16*t**4 - 144*t**3 + 296*t**2 - 244*t + 72 = 0 for t.
-9, 1, 2
Factor 2*z**3/3 + 1762*z**2/3.
2*z**2*(z + 881)/3
Determine f, given that -2*f**4/9 - 4*f**3/3 + 2*f**2/3 + 32*f/9 - 8/3 = 0.
-6, -2, 1
Factor 2*w**2/9 + 8*w/9 - 10.
2*(w - 5)*(w + 9)/9
Find z, given that z**3/3 + 5*z**2/3 + z - 3 = 0.
-3, 1
Factor 2*n**2 + 4268*n + 2276978.
2*(n + 1067)**2
Factor 2*j**3 - 2*j**2 - 20*j - 16.
2*(j - 4)*(j + 1)*(j + 2)
Solve -z**4/2 - 6*z**3 - 10*z**2 = 0.
-10, -2, 0
Factor -s**5 - 11*s**4/5 - 7*s**3/5 - s**2/5.
-s**2*(s + 1)**2*(5*s + 1)/5
Suppose -4*m**2/7 + 5688*m/7 - 11360/7 = 0. What is m?
2, 1420
Find s such that 6*s**2/5 - 68*s/5 + 32 = 0.
10/3, 8
What is x in -4*x**4 + 4*x**3 + 120*x**2 + 304*x + 224 = 0?
-2, 7
Solve 4*r**2 - 468*r + 920 = 0.
2, 115
Let 3*j**3 + 921*j**2 - 924*j = 0. What is j?
-308, 0, 1
Factor -17*l**3/4 + 184*l**2 - 1925*l - 1452.
-(l - 22)**2*(17*l + 12)/4
Let 242*u**3 - 9482*u**2 - 17840*u - 8200 = 0. Calculate u.
-10/11, 41
Factor 5*f**3 + 20*f**2 - 85*f - 300.
5*(f - 4)*(f + 3)*(f + 5)
Determine p so that 5*p**4/3 - 5*p**3/3 - 35*p**2/3 + 5*p/3 + 10 = 0.
-2, -1, 1, 3
Factor y**5 - 27*y**3 + 50*y**2 - 24*y.
y*(y - 4)*(y - 1)**2*(y + 6)
Factor -5*c**4 + 205*c**3 - 355*c**2 - 1345*c - 780.
-5*(c - 39)*(c - 4)*(c + 1)**2
Factor -r**3/3 - r**2 + 35*r - 325/3.
-(r - 5)**2*(r + 13)/3
What is p in -p**5/4 - 25*p**4/2 + 110*p**3 - 340*p**2 + 460*p - 232 = 0?
-58, 2
Let 4*j**5/5 - 33*j**4/5 + 28*j**3/5 + 51*j**2/5 - 14*j/5 = 0. What is j?
-1, 0, 1/4, 2, 7
Solve i**4/6 + 73*i**3/2 + 144*i**2 + 430*i/3 = 0.
-215, -2, 0
Factor -5*a**2/4 - 285*a - 7735/4.
-5*(a + 7)*(a + 221)/4
Factor -4*b**3 - 1464*b**2.
-4*b**2*(b + 366)
Factor -q**3 - 30*q**2 + 31*q.
-q*(q - 1)*(q + 31)
Determine o, given that 384*o**2/17 - 250*o/17 - 4/17 = 0.
-1/64, 2/3
Factor -w**5 + 309*w**4 - 24330*w**3 + 71146*w**2 - 70533*w + 23409.
-(w - 153)**2*(w - 1)**3
Let z**3/5 - 21*z**2 + 1439*z/5 - 267 = 0. What is z?
1, 15, 89
Find t such that -2*t**4 + 1520*t**3 - 384048*t**2 + 31999936*t + 65548256 = 0.
-2, 254
Let h**2/6 + 2498*h/3 + 1665/2 = 0. What is h?
-4995, -1
Determine j, given that -j**4/3 + 832*j**3/3 - 57962*j**2 + 345280*j/3 - 172225/3 = 0.
1, 415
Factor d**4 - 139*d**3 + 677*d**2 - 941*d + 402.
(d - 134)*(d - 3)*(d - 1)**2
What is x in -7*x**2 - 67*x/2 + 15/2 = 0?
-5, 3/14
Determine j so that -j**5 - 19*j**4 - 58*j**3 + 298*j**2 - 341*j + 121 = 0.
-11, 1
Suppose -h**3/4 + 211*h**2/4 - 415*h/4 - 627/4 = 0. Calculate h.
-1, 3, 209
Factor 3*l**3/4 - 9*l**2/2 - 39*l/4 + 63/2.
3*(l - 7)*(l - 2)*(l + 3)/4
Factor -7*p**3/3 - 55*p**2/3 - 41*p/3 + 7/3.
-(p + 1)*(p + 7)*(7*p - 1)/3
Solve 90*k**3 + 355*k**2 + 250*k - 15 = 0 for k.
-3, -1, 1/18
What is n in n**3 + 136*n**2 = 0?
-136, 0
Determine h so that 2*h**4 - 120*h**3 + 1798*h**2 + 120*h - 1800 = 0.
-1, 1, 30
Find f such that -3*f**5 + 165*f**4 - 774*f**3 + 1212*f**2 - 600*f = 0.
0, 1, 2, 50
Determine c, given that -2*c**4/21 - 44*c**3/3 - 4968*c**2/7 - 58320*c/7 + 839808/7 = 0.
-54, 8
Factor 5*w**3 + 25*w**2 - 65*w + 35.
5*(w - 1)**2*(w + 7)
Find q, given that 4*q**2/9 - 112*q/9 = 0.
0, 28
Suppose -i**5 - 5*i**4/2 - 3*i**3/2 + i**2/2 + i/2 = 0. Calculate i.
-1, 0, 1/2
Determine u so that -5*u**5 - 25*u**4 - 10*u**3 + 70*u**2 + 15*u - 45 = 0.
-3, -1, 1
Factor -22*f**3 - 526*f**2 - 3120*f + 288.
-2*(f + 12)**2*(11*f - 1)
Determine l so that -57*l**5 + 450*l**4 - 807*l**3 - 318*l**2 + 1116*l + 120 = 0.
-1, -2/19, 2, 5
Factor 2*t**3/7 - 180*t**2/7 + 4050*t/7.
2*t*(t - 45)**2/7
Find y, given that -2*y**5 + 50*y**4 - 178*y**3 + 214*y**2 - 84*y = 0.
0, 1, 2, 21
Factor -2*g**4/9 - 8*g**3/9 + 10*g**2/9.
-2*g**2*(g - 1)*(g + 5)/9
Suppose 5*n**5 + 2290*n**4 - 11530*n**3 + 20800*n**2 - 16195*n + 4630 = 0. What is n?
-463, 1, 2
Determine n so that -n**2 + 9*n + 52 = 0.
-4, 13
Solve 3*g**3 - 126*g**2 + 465*g - 342 = 0 for g.
1, 3, 38
Factor -2*s**2/5 + 14*s + 1012/5.
-2*(s - 46)*(s + 11)/5
Solve 2*l**5/5 - 4*l**4 + 48*l**3/5 = 0 for l.
0, 4, 6
Let 2*l**2/9 - 10*l/3 - 32/9 = 0. What is l?
-1, 16
Let -2*y**4/5 - 4*y**3 - 14*y**2 - 20*y - 48/5 = 0. Calculate y.
-4, -3, -2, -1
Determine t, given that t**4/4 - t**3/2 - 11*t**2/4 + 3*t = 0.
-3, 0, 1, 4
Suppose i**3/6 - 443*i**2/3 - 889*i/6 + 887/3 = 0. Calculate i.
-2, 1, 887
Suppose -2*g**5 - 136*g**4 - 3584*g**3 - 45056*g**2 - 262144*g - 524288 = 0. Calculate g.
-16, -4
Find w such that 3*w**5/4 - 219*w**4/8 + 2049*w**3/8 - 108*w**2 - 243*w/2 = 0.
-1/2, 0, 1, 18
Factor 3*k**2 + 4215*k - 4218.
3*(k - 1)*(k + 1406)
Find s such that s**2/7 + 387*s + 2708/7 = 0.
-2708, -1
Factor j**3/3 - 76*j**2/3 - j/3 + 76/3.
(j - 76)*(j - 1)*(j + 1)/3
Let g**3/2 - 323*g**2/2 + 1911*g/2 - 2853/2 = 0. What is g?
3, 317
Let 15*v**4 + 565*v**3 + 285*v**2 - 3085*v + 2220 = 0. What is v?
-37, -3, 1, 4/3
Factor p**4/7 - 24*p**3/7 + 12*p**2/7 + 1664*p/7 + 3072/7.
(p - 16)**2*(p + 2)*(p + 6)/7
Find u, given that 6*u**5 + 57*u**4 - 54*u**3 - 237*u**2 + 48*u + 180 = 0.
-10, -3/2, -1, 1, 2
Factor 3*c**2/2 - 36*c + 66.
3*(c - 22)*(c - 2)/2
Suppose -25*p**5 - 755*p**4 - 5750*p**3 - 370*p**2 + 5775*p + 1125 = 0. Calculate p.
-15, -1, -1/5, 1
Factor -90*k**3 - 39*k**2 + 45*k - 6.
-3*(k + 1)*(5*k - 2)*(6*k - 1)
Factor -2*d**2 + 158*d + 324.
-2*(d - 81)*(d + 2)
Solve -o**2/2 - 3*o + 7/2 = 0 for o.
-7, 1
Factor 2*d**2/3 - 596*d - 1790/3.
2*(d - 895)*(d + 1)/3
Factor -2*i**3 - 176*i**2 - 3690*i + 8100.
-2*(i - 2)*(i + 45)**2
Factor -2*r**4 - 10*r**3 + 4*r**2 + 48*r.
-2*r*(r - 2)*(r + 3)*(r + 4)
Factor 2*c**2 + 94*c - 96.
2*(c - 1)*(c + 48)
Suppose -72*a**4/5 + 48*a**3/5 + 502*a**2/5 - 154*a + 60 = 0. Calculate a.
-3, 5/6, 2
Let 3*g**3 + 13*g**2 - 28*g + 12 = 0. Calculate g.
-6, 2/3, 1
Factor -2*v**3/13 + 50*v**2/13 - 272*v/13 + 360/13.
-2*(v - 18)*(v - 5)*(v - 2)/13
Factor -2*v**4 - 320*v**3.
-2*v**3*(v + 160)
Factor -2*v**2/3 - 10*v + 32/3.
-2*(v - 1)*(v + 16)/3
Find m such that m**3/5 - 22*m**2/5 + 67*m/5 + 18 = 0.
-1, 5, 18
What is s in 2*s**2 + 48*s + 46 = 0?
-23, -1
Find v, given that 3*v**5/2 + 9*v**4/2 - 315*v**3/2 + 975*v**2/2 = 0.
-13, 0, 5
Find m such that -m**3/3 + 107*m**2/3 - 936*m - 972 = 0.
-1, 54
Factor 5*o**4 - 60*o**3 + 90*o**2 + 700*o - 735.
5*(o - 7)**2*(o - 1)*(o + 3)
Let 62*b**4 - 306*b**3 + 476*b**2 - 216*b - 16 = 0. Calculate b.
-2/31, 1, 2
Find s such that -2*s**2/7 - 256*s/7 - 8192/7 = 0.
-64
Suppose 3*n**4/7 - 66*n**3/7 + 96*n**2/7 + 480*n/7 = 0. What is n?
-2, 0, 4, 20
Factor -2*p**3 - 2422*p**2 - 732048*p + 734472.
-2*(p - 1)*(p + 606)**2
Suppose 3*t**2/2 + 471*t/2 = 0. What is t?
-157, 0
Factor 4*r**4 + 12*r**3 - 16*r.
4*r*(r - 1)*(r + 2)**2
Factor 5*o**3 + 420*o**2 + 820*o.
5*o*(o + 2)*(o + 82)
Suppose b**3/10 - 4*b**2/5 - 19*b/10 - 1 = 0. Calculate b.
-1, 10
Determine g so that -38*g**3/3 + 34*g**2/3 + 80*g/3 + 8/3 = 0.
-1, -2/19, 2
Factor -l**2/2 - 432*l + 865/2.
-(l - 1)*(l + 865)/2
Suppose -4*a**2 - 296*a - 5476 = 0. Calculate a.
-37
Factor -n**2/8 + 2029*n/8 + 1015/4.
-(n - 2030)*(n + 1)/8
Let -4*s**4 - 12*s**3 + 8*s**2 + 48*s + 32 = 0. What is s?
-2, -1, 2
Determine d so that 4*d**4 - 64*d**3 + 248*d**2 + 448*d - 2940 = 0.
-3, 5, 7
Factor 2*o**3/17 + 14*o**2/17 - 60*o/17.
2*o*(o - 3)*(o + 10)/17
Let -5*s**4 + 100*s**3 - 90*s**2 - 100*s + 95 = 0. What is s?
-1, 1, 19
Factor 2*c**3/21 + 22*c**2/7 + 20*c/7 - 128/21.
2*(c - 1)*(c + 2)*(c + 32)/21
Factor -2*n**3/9 - 148*n**2 - 74368*n/3 - 440896/9.
-2*(n + 2)*(n + 332)**2/9
Factor 3*q**3/2 + 11*q**2/6 + q/3.
q*(q + 1)*(9*q + 2)/6
Factor -5*o**4 + 45*o**3 - 100*o**2 + 60*o.
-5*o*(o - 6)*(o - 2)*(o - 1)
Let 3*w**5 + 57*w**4 - 630*w**3 + 606*w**2 + 3315*w + 2025 = 0. Calculate w.
-27, -1, 5
Let 5*v**2 + 40*v - 2800 = 0. Calculate v.
-28, 20
Factor -h**2/6 + 673*h/2.
-h*(h - 2019)/6
Factor 3*a**3 + 225*a**2.
3*a**2*(a + 75)
Factor d**4 - 12*d**3 + 17*d**2 + 30*d.
d*(d - 10)*(d - 3)*(d + 1)
Factor n**2/2 - 4
|
{
"pile_set_name": "DM Mathematics"
}
|
- (-27)/(-15)). What is the closest to w in k, 4/5, b?
b
Let u = -665/3 + 222. What is the nearest to 0.3 in 5, u, 2?
u
Let v be -6*(-49)/336 + (-1)/(-8). Which is the closest to 5.1? (a) -0.3 (b) -0.4 (c) v
c
Let j = 2/33 + -80/231. Which is the nearest to -1/11? (a) j (b) 5 (c) -6
a
Let y be (-2)/8 + -4*(-492)/192. Which is the nearest to -5? (a) y (b) 1/2 (c) 1 (d) -3
d
Suppose -2*z = 4*f + 144, -4*f + 50 = -5*f + 3*z. Let r be (6/(-10) + 1)/(f/(-190)). Let j = 0.2 - 0.2. Which is the nearest to j? (a) 2/5 (b) -3 (c) r
a
Let d = -0.18 - 0.02. Let m = -1.4 + 5.4. Let r = -28 + 22. Which is the closest to 1? (a) d (b) m (c) r
a
Let m(f) = -f - 10. Let i(s) = -2*s - 21. Let g(w) = 6*i(w) - 14*m(w). Let y be g(-7). Let v be (2/(-3)*-3)/5. Which is the closest to y? (a) -2 (b) v (c) -4
b
Let d = 38 - 33. Let c = d - 2. Let q = 0 + -0.3. What is the closest to c in -0.2, 1/6, q?
1/6
Let q = -1618 + 1648. Which is the closest to q? (a) -1 (b) 0.5 (c) 3 (d) -0.2
c
Suppose 10 = -d + 4*m, -4*d - 2*m - 12 = -4*m. Let k = -664 - -663. Let n = 0.8 - 1. Which is the nearest to -0.3? (a) k (b) n (c) d
b
Suppose 5*b - i - 9 = b, 0 = 3*i + 15. Let f = -6877/7 - -985. What is the nearest to b in f, -2/5, -0.5?
-2/5
Let y = -381 - -378. Let q = 1.9 - 2. Which is the closest to 1? (a) q (b) y (c) -2
a
Suppose -n + 0 + 3 = 0. Let p = 1748 - 1749. Which is the nearest to -0.1? (a) -2/11 (b) p (c) n
a
Let s(n) = -n**2 + 29*n - 219. Let o be s(16). What is the closest to o in 0.32, 1, 4/5, -2/7?
-2/7
Suppose 7*x - 2*x = 1325. Let v be (2/14)/((-12)/22296). Let a = x + v. What is the nearest to 2/3 in -3, -0.3, a?
-0.3
Let o = -0.9839 - -1.0839. Suppose 0*g - g - 3*i - 21 = 0, 20 = -4*i. Let y(s) = -2*s - 9. Let z be y(g). Which is the closest to 0.1? (a) o (b) -5 (c) z
a
Let r = -73/27 - -1/27. Let z = 62/21 + r. Let b = -0.042 + -0.958. What is the closest to z in -5, b, 3?
b
Let b = -0.8 + 1. Let a = 367 + -367.1. What is the nearest to -0.1 in b, a, 0?
a
Let z = 5 - 2. Let r = -1745/702 + -5/351. Which is the closest to 0.1? (a) z (b) r (c) -9
b
Let a = 535 + -535.2. What is the nearest to a in -1, 2, 3/34?
3/34
Suppose -3*p = -4*f - 27, -p - 4*f + 17 = -8*f. What is the closest to 0.1 in 0.32, 0.1, -0.4, p?
0.1
Suppose -3*o = -4*w + 16, 12 = 5*w + o - 8. Which is the closest to -2/3? (a) 0.09 (b) -0.1 (c) w
b
Let y be (-2)/(-7)*(9 + 5). Let i be (-84)/98*y/6. What is the closest to 0 in 2, 0.2, i?
0.2
Suppose -17*m - 68 = -442. Suppose 20 = -n + 6*n, -m = 2*i - 3*n. Let l = -0.35 - 0.05. Which is the nearest to -0.1? (a) -1/4 (b) i (c) l
a
Let s = -9/110 - -73/220. Which is the nearest to 0? (a) -0.2 (b) s (c) 5 (d) -4
a
Let q = 341 - 359.9. Let z = 19 + q. What is the closest to z in 2, -2, 0.1?
0.1
Let f = -216 - -423/2. Let g = -36/7 + 410/77. What is the closest to 1 in g, f, 4/7?
4/7
Let m = 4 + -4.1. Let h = 0.505 - -0.295. Which is the nearest to m? (a) h (b) -0.4 (c) 4
b
Suppose 2*v = 3*v. Let b = -2.67 + 3.67. What is the nearest to 1/9 in b, -1/2, v?
v
Let g = -35.911 - 0.089. Let r = -37.7 - g. Let o = -5.7 - r. What is the closest to -1 in o, 4, 0?
0
Let z = 5 - 45. Let n = z - -38. What is the nearest to 7 in -1/7, -2/9, n?
-1/7
Let i = -0.45 + 0.19. Let z = -1.76 - i. What is the nearest to 1/4 in 0, z, 0.2?
0.2
Let i = 67/14 - 9/2. Let g = -1.33 + 1.33. What is the nearest to 0.06 in i, g, -0.4?
g
Let z = -0.0042 + 0.5042. What is the nearest to -2/11 in -1, z, -5, 0.3?
0.3
Let o = -7 + 10. Let j = 56 - 53. Let s be (-99)/330*4/j. Which is the closest to s? (a) o (b) 1/7 (c) -2
b
Let y = 392 - 391.9. Suppose 4*h + 20 = 3*i + i, -4*h - 12 = 0. Suppose -i*n + 5*l - 29 = 0, -3*n - 2*l + 4 + 0 = 0. What is the closest to y in 2, n, 1?
1
Let p = -3 + 3.8. Let m = -0.9 + p. What is the closest to -1 in m, 4, 0.4?
m
Let t = 184.1 - 184. Which is the nearest to t? (a) -5 (b) -2/13 (c) -45/2
b
Let u = 0.5 + -0.2. Let z = 0.2 + u. Let t = -1.47 + 1.87. What is the closest to 1 in -2/9, z, t?
z
Suppose 34 = -4*k - 86. Let h be 8/k - (-2)/(-6). Let d = -0.0943 - 0.1057. Which is the closest to 2/7? (a) h (b) d (c) 0.1
c
Let z be (-3 - 1) + (-308)/18. Let m = z - -21. Let p be ((-6)/(-4))/((-25)/10). Which is the closest to 0? (a) m (b) 3 (c) p
a
Let w = -5 + 7. Suppose -7*k = -4*k - 3*s + 6, 5*s = 3*k. Which is the nearest to k? (a) w (b) 0.4 (c) -4
c
Let i = -351 + 356. Which is the nearest to 1? (a) 1/7 (b) 1/8 (c) i
a
Let p = 76.7 - 71.7. Which is the closest to p? (a) -1 (b) 0.2 (c) -0.13
b
Let i = 965 + -831.2. Let j = -134 + i. Let x = -1 + 3. Which is the closest to 2/3? (a) x (b) 3/4 (c) j
b
Let o be (-1)/((-15)/(-12) - 1). Let x = -2 - o. Which is the nearest to -0.2? (a) 3/5 (b) x (c) 6
a
Let x be (-3)/(-108) - (-19)/(-76). What is the closest to -3 in x, 3, -1/2?
-1/2
Let r = 3.8 - 3.6. Which is the closest to 3? (a) -2/15 (b) r (c) 11
b
Let r be (-4)/(-24) - 10/6. Let x be (3/(-1053))/((-5)/(-444)). Let h = 2/65 + x. Which is the nearest to 1? (a) 4 (b) r (c) h
c
Let t = 91 + -91.2. Which is the closest to t? (a) -0.2 (b) -2/5 (c) -8
a
Let c be ((-17)/9)/((-14)/24). Let w = -18/7 + c. Let d be 8/(-3) - -2*1. What is the nearest to d in -1, w, -1/4?
-1
Let s = 0.7 + -20.7. Which is the closest to 0.1? (a) -5 (b) -1/3 (c) s
b
Let t be (-52)/(-5)*(-50)/(-12). Let s = t - 44. Let h = 8.3 - 8. What is the closest to -2/3 in h, 5, s?
s
Let m be 2*-3 - 2254/(-343). Which is the closest to 14/9? (a) -0.03 (b) -3 (c) 6/11 (d) m
d
Let l = -0.3386 + -0.0614. Which is the closest to 1/19? (a) 0.5 (b) -2/13 (c) l
b
Suppose 5*r = -2*s + 57, r + 2*s - 18 = -r. Let j = r - 10. Suppose -j*t - 9 = -0*t. Which is the nearest to -1? (a) -4 (b) t (c) 5/2
b
Let u = -194.05 + 194. Let s be 14/(-12) + 2/4. Which is the closest to u? (a) 1/2 (b) s (c) 4/5
a
Suppose 0 = -32*p + 25*p - 14. What is the closest to 0.2 in 5, 1, p?
1
Let z = 323 + -325. Let h = 2/39 - -11/39. Which is the closest to z? (a) 0.3 (b) h (c) 0.1
c
Let k be 552/(-60) + (-27)/(-3). What is the closest to 2 in 4, -2, k, -1/2?
4
Let h be (-308)/99 - ((-2 - 3) + 2). Which is the closest to -1/3? (a) -3/7 (b) 1/3 (c) h (d) -15
a
Let v be -227 + 222 + ((-2)/((-6)/19))/1. Let z = 2 - 1. What is the closest to 0.2 in v, z, -0.2?
-0.2
Let h = 48 + -51.25. Let w = -3.3 - h. What is the nearest to 0 in -2, w, -3?
w
Let f be (-2 + 4)/(10/(-8))*34. Let g = 55 + f. Which is the nearest to 1? (a) 2/11 (b) -1/6 (c) g
c
Let o be 18/20 - (-9 - (-141)/15). Which is the nearest to 0? (a) o (b) -1/3 (c) 2/5
b
Let u = 15.18 + -15.68. Suppose -3 = t - 4*t. Let g be (-1)/t + 30/26. Which is the closest to 0? (a) u (b) g (c) -4
b
Let o = 697 - 698. What is the closest to 2 in -0.5, o, 7?
-0.5
Let w(v) = v. Let k be w(3). Let s be ((-21)/(-6) - k)*(-4)/10. What is the closest to 1 in -4/3, 1, s?
1
Let p = 181 - 180.5. What is the nearest to -14 in 5, p, -2?
-2
Let a = -3.7595 + -0.2405. What is the closest to 0 in 1, a, -3, 2/115?
2/115
Let k = 13 + -8. Let x = k - 4. Let c = 12 - 16. What is the nearest to x in 5, -2, c?
-2
Let k be 14/12*9/(-6). Let b = -206 - -202. What is the nearest to -1 in 0, k, b?
k
Let k = 40 + -40.1. Let c = -31 + 31.02. What is the nearest to k in c, 0, -2?
0
Let q be 2/(-6)*(-4 - (11 + -11)). Let x = -230/9 + 3008/117. Which is the closest to 2? (a) -0.1 (b) q (c) x
b
Let r = 6.65 + -5.5. Let g = 0.75 - r. Which is the closest to -3? (a) g (b) -7 (c) -1
c
Let m be -1 - (-4)/(-5)*-1. What is the nearest to 2/5 in m, 0, -3?
0
Let g = 22 + 26. Let x = 45 - g. Let w be 30/56 - (-2)/(-8). Which is the closest to w? (a) x (b) -0.5 (c) -2
b
Suppose 0 = -3*i + 9 - 15. Which is the nearest to i? (a) 11 (b) 0.4 (c) -3
c
Let x = 3.217 - -0.083. Let m = x + 0.7. Let h = -5 + 5. Which is the closest to h? (a) m (b) 1 (c) 2
b
Let q = -1.64 - -1.7. Let r = q + 0.94. Let g = 5 + -6. Which is the closest to r? (a) -4 (b) -0.1 (c) g
b
Let w = 29 + -34. Let s = -1.24 - -1.3. Let q = 0.04 - s. Which is the nearest to q? (a) w (b) -0.5 (c) 0.1
c
Let o = -2.44 + 117.44. Let g = -120 + o. What is the nearest to 0.1 in 1/3, g, -2/7?
1/3
Let c = 3.1 + -3.3. Let d = 16/9 - 98/45
|
{
"pile_set_name": "DM Mathematics"
}
|
at is b?
-2, 0, 3/5
Factor 8*u + 104 + 2/13*u**2.
2*(u + 26)**2/13
Let a(o) = 4*o**2 - 1. Let p be a(-1). Find c, given that 3 - 23*c**4 + 20*c**4 + 6*c + 3 - 3 - 6*c**p = 0.
-1, 1
Factor 56104*z**2 - 248768*z - z**5 + 7*z**5 + 6880*z**3 - 17000*z**2 + 296*z**4 - 2*z**5 + 143902 + 137314.
4*(z - 2)**2*(z + 26)**3
Suppose -23 = -6*v - 5. Factor -35*s**4 + 16*s**4 + 14*s**4 - 10*s**2 - 15*s**v.
-5*s**2*(s + 1)*(s + 2)
Let u(l) = 6*l**3 - 6*l**2 - 4*l - 4. Let y(v) = -v**3 + v + 1. Let c(f) = u(f) + 4*y(f). Factor c(h).
2*h**2*(h - 3)
Let g(b) be the second derivative of -b**5/100 + b**4/10 + b**3/30 - 3*b**2 - 214*b. Determine f so that g(f) = 0.
-2, 3, 5
Let l(c) be the third derivative of -1/40*c**6 + 25*c**2 + 1/60*c**5 + 0 + 1/12*c**4 + 0*c**3 + 0*c. Factor l(i).
-i*(i - 1)*(3*i + 2)
Let h(b) be the second derivative of -b**8/336 - b**7/210 + 7*b**2 - 4*b. Let u(n) be the first derivative of h(n). Factor u(w).
-w**4*(w + 1)
Solve 6722/3*b**2 + 2/3*b**4 + 76*b**3 + 4256*b + 6272/3 = 0 for b.
-56, -1
Let r(p) be the third derivative of -2*p**7/15 - p**6/6 + 3*p**5/5 + 5*p**4/6 - 4*p**3/3 + 2*p**2 + 195. Find q, given that r(q) = 0.
-1, 2/7, 1
Let a be (3 + (-11 - (-129)/15))/((-18)/(-20)). Factor 1/6*m**5 + m**3 - 4/3*m + 0 - a*m**2 + 5/6*m**4.
m*(m - 1)*(m + 2)**3/6
Let q(h) = -3*h**3 + h**2 + 3*h - 20. Let n(a) = -a**3 + a**2 + a - 1. Let m(p) = 2*n(p) - q(p). Let c be m(0). Factor -12 - c*l - 3/2*l**3 - 9*l**2.
-3*(l + 2)**3/2
Let q(a) = 20*a**3 - 274*a**2 + 104*a + 12. Let c(x) = 40*x**3 - 547*x**2 + 208*x + 22. Let m(p) = 6*c(p) - 11*q(p). Find k, given that m(k) = 0.
0, 2/5, 13
Let -169/2 + 12*b**3 - 1/2*b**4 - 59*b**2 - 156*b = 0. Calculate b.
-1, 13
Let m(l) = l**2 + 21*l + 22. Let h be m(-20). Factor 850 - 854 + 17*q**h + q**2 + 34*q.
2*(q + 2)*(9*q - 1)
Let y be 18/135 + (-124)/30. Let l be ((-1)/6)/(y/36). Find a, given that l*a**2 + 2*a**3 - 2*a + 1/2*a**4 - 2 = 0.
-2, -1, 1
Determine b, given that 288/7*b + 6*b**3 - 192/7*b**2 - 3/7*b**4 + 0 = 0.
0, 4, 6
Let z(g) be the third derivative of -g**6/900 - g**5/150 + g**4/180 + g**3/15 + 3*g**2 + 4*g. Factor z(h).
-2*(h - 1)*(h + 1)*(h + 3)/15
Suppose -2073*n = -2065*n - 40. Let x = 467 - 1859/4. Determine w, given that 1/4*w**n + 21/4*w + 3/4*w**4 - x - 5/2*w**2 - 3/2*w**3 = 0.
-3, 1
Let r(g) be the third derivative of g**5/75 + 11*g**4/15 - 46*g**3/15 - 92*g**2 - 1. Factor r(f).
4*(f - 1)*(f + 23)/5
Let h(t) be the second derivative of t**4/54 - 14*t**3/27 - 5*t**2/3 + 301*t. Factor h(r).
2*(r - 15)*(r + 1)/9
Let q(s) be the first derivative of -5*s**3/12 + 6*s**2 - 27*s/4 + 83. Factor q(g).
-(g - 9)*(5*g - 3)/4
Let f(h) be the second derivative of -h**6/20 + 3*h**5/5 + h**4/8 - 2*h**3 + 151*h. Factor f(t).
-3*t*(t - 8)*(t - 1)*(t + 1)/2
Let t(u) be the first derivative of -u**3 - 132*u**2 - 5808*u - 22. Factor t(s).
-3*(s + 44)**2
Let z(u) = 24*u**2 + 15*u + 11. Let v(m) = -13*m**2 - 8*m - 6. Let s(p) = 11*v(p) + 6*z(p). Solve s(q) = 0.
-2, 0
Let m(l) be the second derivative of -1/3*l**4 + 0 - 50*l**2 + 7*l - 20/3*l**3. Determine n so that m(n) = 0.
-5
Suppose 0*s + s + 7 = 0. Let z = 9 + s. Let 5 - 5 + 2*h**2 - z*h**4 = 0. What is h?
-1, 0, 1
Find n such that 498*n - 2*n**4 - 468*n + 18*n**2 - 80*n**2 + 34*n**3 = 0.
0, 1, 15
Let n(d) = 152*d - 71*d - 82*d - d**2 + d**3. Let p(x) = 22*x**3 - 37*x**2 + 8*x + 6. Let r(y) = n(y) - p(y). Factor r(u).
-3*(u - 1)**2*(7*u + 2)
Determine p, given that 4*p + 6*p**3 - 31*p**3 - p**4 - 105*p**2 + 302 + 15*p**2 - 182 - 8*p**3 = 0.
-30, -2, 1
Factor 14*g**2 + 11*g**2 + 70*g**3 - 35*g**3.
5*g**2*(7*g + 5)
Let h(f) = f**3 + f - 1. Let j(t) = 5*t**3 - 40*t**2 + 15*t + 30. Let v(g) = 10*h(g) - j(g). Suppose v(c) = 0. What is c?
-8, -1, 1
Let d(x) = -3*x + 4 - 77*x**3 + 80*x**3 + 4*x. Let r(a) be the first derivative of a**4/4 + a - 1. Let o(t) = d(t) - 4*r(t). Find w such that o(w) = 0.
-1, 0, 1
Solve -36/7*d - 15/7*d**5 + 51/7*d**3 + 3/7*d**2 + 9/7*d**4 - 12/7 = 0.
-1, -2/5, 1, 2
Let v(d) be the third derivative of d**5/540 - d**4/108 - 35*d**2. Factor v(b).
b*(b - 2)/9
Suppose 0*o + 0 - 8/3*o**3 + 8/3*o**2 + 2/3*o**5 - 2/3*o**4 = 0. What is o?
-2, 0, 1, 2
Let q(y) = 4*y**2 + 8*y - 15. Suppose 5*w - 21 = -6. Let o(i) = 8*i**2 + 16*i - 29. Let h(g) = w*o(g) - 5*q(g). Solve h(u) = 0.
-3, 1
Let u(l) be the second derivative of -2*l**7/105 + l**6/10 + l**5/15 - l**4/2 + 8*l**2 - 11*l. Let o(r) be the first derivative of u(r). Factor o(h).
-4*h*(h - 3)*(h - 1)*(h + 1)
What is i in 1/3*i**4 - 12*i + 4/3*i**3 - 5/3*i**2 - 12 = 0?
-3, -2, 3
Let c be (24*29/(-290))/(2/(-5)). What is i in 27/2*i + 3/2*i**3 + c + 9*i**2 = 0?
-4, -1
Find m such that -25*m**4 - 4*m**5 + 136 + 5*m**4 + 32*m**2 + 133 - 8*m**3 - 269 = 0.
-4, -2, 0, 1
Let v(t) be the first derivative of 5*t**3/3 + 5*t**2/2 - 30*t + 32. Find d, given that v(d) = 0.
-3, 2
Suppose -5*p + h + 19 = 0, -2*p + 271 = -3*h + 253. Factor 9/4*j**3 + 0 + 0*j**2 - p*j - 3/4*j**4.
-3*j*(j - 2)**2*(j + 1)/4
Let a = 20251/20 - 1013. Let i = -1/20 - a. Factor -2/5*f**2 + 0*f + 6/5*f**3 - 6/5*f**4 + 0 + i*f**5.
2*f**2*(f - 1)**3/5
Suppose -j - 292 = -4*y + 3*j, -4*y + j + 292 = 0. Let o = y - 73. Solve 8/5*n**2 + 0*n - 4/5*n**3 + o = 0 for n.
0, 2
Let w(s) be the first derivative of 3*s**5/20 - 3*s**4/4 - 3*s**3/4 + 15*s**2/4 + 6*s + 459. What is j in w(j) = 0?
-1, 2, 4
Let x(u) be the third derivative of u**6/300 + u**5/5 + 21*u**4/5 + 392*u**3/15 + 83*u**2. Suppose x(y) = 0. Calculate y.
-14, -2
Let y be (0 + 0)*(-19 + 20). Let y*t - 4/9*t**5 + 0 - 4/9*t**2 - 2/9*t**4 + 10/9*t**3 = 0. Calculate t.
-2, 0, 1/2, 1
Suppose t**4 + t**5 + 9*t - 40*t**2 - 2*t - 8*t**3 + t + 8*t + 4*t**4 + 80 = 0. What is t?
-5, -2, 2
Let m be 18/15*-1*162/(-243). Suppose -8 = 10*q - 14*q. Suppose 6/5*h + 4/5 - m*h**q = 0. What is h?
-1/2, 2
Let a be (-2)/12 + (7/35)/(42/13235). Let 100/7*r**5 - 284/7*r**3 - a*r**2 + 80/7*r**4 - 32/7 - 208/7*r = 0. What is r?
-1, -2/5, 2
Suppose 23*u = 51*u - 18*u. Find c, given that 0*c - 1/5*c**4 + 0*c**2 + 1/5*c**5 + 0 + u*c**3 = 0.
0, 1
Solve i**3 - 613 - 601 + 1222 + 6*i**2 + 12*i = 0.
-2
Let s = 2/29 + 52/87. Let c be 5/((-60)/(-36))*(-4)/(-6). Factor 0*j + 0 - s*j**c - 2/3*j**3.
-2*j**2*(j + 1)/3
Let q(w) be the second derivative of -w**7/2940 + w**6/252 - w**3/3 - 18*w. Let g(j) be the second derivative of q(j). Suppose g(l) = 0. Calculate l.
0, 5
Let f be ((-12)/(-18))/((-2)/(-6)). Suppose -6 - 15*c + 3 - 10 - c**3 + 4 - 7*c**f = 0. What is c?
-3, -1
Let t = 9 - 7. Factor 4 + 14*f - 17*f + t*f**2 - 3*f**2.
-(f - 1)*(f + 4)
Find a such that 25*a**2 - 21*a - 26*a**2 + 12 + 10 + 0 = 0.
-22, 1
Let z(g) be the second derivative of -g**7/84 + 7*g**6/45 - g**5/4 - 5*g**4/18 + 11*g**3/12 - 2*g**2/3 - 65*g. Determine c so that z(c) = 0.
-1, 1/3, 1, 8
Let j(r) be the first derivative of r**6/21 + 22*r**5/35 - 25*r**4/14 + 26*r**3/21 + 374. Suppose j(f) = 0. What is f?
-13, 0, 1
Let b = 137 - 92. Let h = b - 43. Factor 1/2*r + 1/2 - r**h.
-(r - 1)*(2*r + 1)/2
Suppose -9*s = -2*s - 28. Determine r so that -r - 3*r**2 + 1 + 0*r**2 - s + 11*r = 0.
1/3, 3
Let r(f) be the third derivative of 1/228*f**6 + 0*f + 0 + 7/570*f**5 + 1/76*f**4 + 0*f**3 + 1/1995*f**7 + 35*f**2. Factor r(c).
2*c*(c + 1)**2*(c + 3)/19
Suppose 3*w - 88 = 32. Let h = w + -77/2. Suppose 0*q + h*q**2 + 0 = 0. Calculate q.
0
Let a = 133 + -131. Factor -10/11*y - 6/11*y**a - 4/11.
-2*(y + 1)*(3*y + 2)/11
Let g = -59 - -61. Find x, given that -7*x - g - 245*x - 6 - 4 - 1323*x**2 = 0.
-2/21
Let f(t) be the third derivative of t**8/224 + t**7/70 - 3*t**6/80 - t**5/5 - t**4/4 + 23*t**2 - 7. Find v such that f(v) = 0.
-2, -1, 0, 2
Let o(n) = 4*n**3 + n**2 - 9*n + 5. Suppose 0 = -11*b + 3*b + 8. Let z(y) = y**3 + y**2 - 1. Let u(c) = b*o(c) - z(c). Factor u(l).
3*(l - 1)**2*(l + 2)
Let r(o) be the first derivative of 3*o**5 - 9*o**4 + 4*o**3 + 432. Factor r(m).
3*m**2*(m - 2)*(5*m - 2)
Let j(f) be the first derivative of f**5/60 - f**4/8 - 2*f**3/3 - 9*f**2 + 40. Let w(u) be the second derivative of j(u). Determine d so that w(d) = 0.
-1, 4
Let f(v) be the first derivative of -3*v**5/10 + 5*v**4/3 - 4*v**3/3 + v**2 - 11. Let o(n) be the second derivative of f(n). Factor o(a).
-2*(a - 2)*(9*a - 2)
Let t(p) be the third derivative of -p**6/540 -
|
{
"pile_set_name": "DM Mathematics"
}
|
places.
-0.000028
What is 86120000 rounded to the nearest one million?
86000000
Round -0.021213 to 4 decimal places.
-0.0212
What is -8068 rounded to the nearest 100?
-8100
Round -15.093 to 1 decimal place.
-15.1
Round -485590 to the nearest ten thousand.
-490000
Round 5.993 to 1 dp.
6
What is 20.3797 rounded to 1 decimal place?
20.4
What is 8680 rounded to the nearest 1000?
9000
Round -0.000005132 to 6 dps.
-0.000005
Round -0.000941 to 4 dps.
-0.0009
Round 11460 to the nearest 1000.
11000
Round 4857000 to the nearest 100000.
4900000
Round 3854.7 to the nearest ten.
3850
What is 0.012268 rounded to 3 dps?
0.012
What is -37 rounded to the nearest 10?
-40
What is 34900 rounded to the nearest one thousand?
35000
What is 0.000000373 rounded to seven dps?
0.0000004
What is -425400 rounded to the nearest ten thousand?
-430000
Round 56039400 to the nearest 100000.
56000000
Round -44520000 to the nearest one million.
-45000000
What is -0.05819 rounded to two decimal places?
-0.06
Round -66954 to the nearest one hundred.
-67000
Round -16796 to the nearest 1000.
-17000
Round -0.00077134 to 4 decimal places.
-0.0008
What is 8380 rounded to the nearest 100?
8400
Round 0.040637 to three dps.
0.041
Round -282.9 to the nearest 10.
-280
What is 29547 rounded to the nearest 1000?
30000
What is -0.102898 rounded to two decimal places?
-0.1
What is 0.000448811 rounded to five decimal places?
0.00045
Round 76350000 to the nearest 1000000.
76000000
Round -0.000007616 to 7 dps.
-0.0000076
Round -629000 to the nearest 10000.
-630000
What is -23360 rounded to the nearest 10000?
-20000
Round 144.222 to the nearest ten.
140
What is 0.0000091545 rounded to seven decimal places?
0.0000092
What is -116.208 rounded to the nearest ten?
-120
Round 0.0050844 to 4 dps.
0.0051
What is 0.003628 rounded to three dps?
0.004
What is 25.75 rounded to 0 dps?
26
What is 259.751 rounded to zero decimal places?
260
Round 1407 to the nearest 10.
1410
What is 0.02153 rounded to 3 decimal places?
0.022
What is -4752.9 rounded to the nearest ten?
-4750
What is 5.26268 rounded to two dps?
5.26
Round 0.0000042046 to 6 dps.
0.000004
What is 0.0164269 rounded to four dps?
0.0164
What is 0.14388 rounded to 3 dps?
0.144
What is -0.00000369 rounded to six decimal places?
-0.000004
What is -6.509 rounded to 1 decimal place?
-6.5
Round -0.9449 to one decimal place.
-0.9
What is 326637 rounded to the nearest 10000?
330000
What is 0.0001554 rounded to five dps?
0.00016
What is 0.41027 rounded to 2 decimal places?
0.41
What is -3488 rounded to the nearest one thousand?
-3000
Round 0.0059013 to 5 decimal places.
0.0059
What is 0.7132 rounded to two dps?
0.71
What is -3.7016 rounded to 1 decimal place?
-3.7
What is -0.0000163 rounded to five dps?
-0.00002
Round -33240 to the nearest 10000.
-30000
What is -0.0006418 rounded to 4 decimal places?
-0.0006
What is -57141 rounded to the nearest 1000?
-57000
What is 1053000 rounded to the nearest ten thousand?
1050000
What is 7672000 rounded to the nearest 1000000?
8000000
What is 0.00000603 rounded to six decimal places?
0.000006
What is 0.00217 rounded to three decimal places?
0.002
Round -0.0001044 to 6 dps.
-0.000104
What is 0.06331 rounded to 3 decimal places?
0.063
Round -1.48 to the nearest integer.
-1
What is 1.135 rounded to 1 dp?
1.1
What is -1236.76 rounded to the nearest 10?
-1240
Round -86870 to the nearest 10000.
-90000
What is -0.4377 rounded to two dps?
-0.44
What is -15000000 rounded to the nearest 1000000?
-15000000
What is -1894.51 rounded to the nearest 100?
-1900
Round -1361.57 to zero decimal places.
-1362
What is 37713000 rounded to the nearest one million?
38000000
Round 3533900 to the nearest ten thousand.
3530000
Round 202570 to the nearest 10000.
200000
Round -2734.2 to the nearest one hundred.
-2700
What is 646 rounded to the nearest 100?
600
Round 0.0009167 to four decimal places.
0.0009
Round 0.0015625 to four dps.
0.0016
What is 278 rounded to the nearest integer?
278
Round 37384000 to the nearest one hundred thousand.
37400000
Round 74200 to the nearest ten thousand.
70000
What is -36220000 rounded to the nearest 1000000?
-36000000
Round -1839 to the nearest one hundred.
-1800
Round 24.3471 to the nearest integer.
24
Round 3.4101 to 1 decimal place.
3.4
What is -4.58 rounded to the nearest integer?
-5
Round 1148 to the nearest 100.
1100
What is -0.000001149 rounded to seven dps?
-0.0000011
What is 0.000085775 rounded to 6 dps?
0.000086
What is 420540 rounded to the nearest 10000?
420000
Round 355.9 to the nearest 10.
360
Round -0.03072 to three decimal places.
-0.031
Round -12199100 to the nearest 1000000.
-12000000
What is 6.13 rounded to the nearest integer?
6
What is -9110 rounded to the nearest 1000?
-9000
Round 0.000617 to three decimal places.
0.001
What is 926000 rounded to the nearest one hundred thousand?
900000
What is -0.0000014869 rounded to 6 decimal places?
-0.000001
What is 0.0161 rounded to three decimal places?
0.016
What is -0.002602 rounded to four decimal places?
-0.0026
What is 0.000003126 rounded to seven dps?
0.0000031
What is 151760 rounded to the nearest ten thousand?
150000
What is -3.1736 rounded to one dp?
-3.2
Round -1442.3 to the nearest 10.
-1440
Round -0.00000050056 to 7 decimal places.
-0.0000005
Round 0.000038161 to seven decimal places.
0.0000382
What is 0.02978 rounded to 3 decimal places?
0.03
Round -0.00161 to 4 decimal places.
-0.0016
Round -34353.3 to the nearest one hundred.
-34400
What is 76930 rounded to the nearest one thousand?
77000
Round -1.5194 to two decimal places.
-1.52
Round 0.000020802 to seven decimal places.
0.0000208
Round -23690 to the nearest one hundred.
-23700
Round 0.3441 to two decimal places.
0.34
What is -1197010 rounded to the nearest 1000?
-1197000
What is -0.00000215 rounded to seven dps?
-0.0000022
What is 432 rounded to the nearest one hundred?
400
Round -63900 to the nearest 10000.
-60000
Round -0.0000731 to four decimal places.
-0.0001
Round 0.0000053743 to six dps.
0.000005
What is -0.0001457 rounded to four decimal places?
-0.0001
Round 5614 to the nearest 1000.
6000
Round 107600 to the nearest one hundred thousand.
100000
Round -1303000 to the nearest 100000.
-1300000
What is -0.0009901 rounded to 5 decimal places?
-0.00099
What is -18139 rounded to the nearest 1000?
-18000
What is 12160 rounded to the nearest 1000?
12000
What is -0.62 rounded to 1 dp?
-0.6
What is -89660 rounded to the nearest one thousand?
-90000
Round -5383000 to the nearest one million.
-5000000
What is 0.0447 rounded to 2 dps?
0.04
Round -131800 to the nearest one thousand.
-132000
Round -43.884 to the nearest 10.
-40
Round -204.66 to the nearest ten.
-200
Round 6.759 to the nearest 10.
10
Round -6.23 to one dp.
-6.2
Round 1590 to the nearest ten thousand.
0
What is -82700 rounded to the nearest ten thousand?
-80000
Round -5.352 to 0 dps.
-5
Round -227000 to the nearest one hundred thousand.
-200000
Round 84420 to the nearest 1000.
84000
Round -1.01462 to one decimal place.
-1
Round 2.5753 to 0 dps.
3
Round -0.37052 to 2 dps.
-0.37
Round -335.49 to the nearest integer.
-335
Round -43117000 to the nearest 1000000.
-43000000
Round 97600 to the nearest ten thousand.
100000
What is 0.000006809 rounded to six decimal places?
0.000007
Round -0.027477 to four dps.
-0.0275
Round 0.0016 to 4 dps.
0.0016
Round 17726600 to the nearest one hundred thousand.
17700000
What is 0.0000034992 rounded to 6 dps?
0.000003
What is -0.012386 rounded to three dps?
-0.012
What is 126.9 rounded to the nearest 100?
100
Round -72.257 to the nearest 10.
-70
Round 50230000 to the nearest 1000000.
50000000
Round 0.030648 to 3 dps.
0.031
What is -2.214 rounded to the nearest integer?
-2
What is 11000 rounded to the nearest 100000?
0
What is 154.36 rounded to the nearest integer?
154
What is -2860000 rounded to the nearest one hundred thousand?
-2900000
What is -0.000026365 rounded to five dps?
-0.00003
What is -99.309 rounded to the nearest integer?
-99
Round 1.147 to one dp.
1.1
Round 4505000 to the nearest one hundred thousand.
4500000
Round -27380 to the nearest ten thousand.
-30000
Round 627900 to the nearest 10000.
630000
What is -706000 rounded to the nearest one hundred thousand?
-700000
What is 74.53 rou
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate w(j).
4
Let w be (-6)/((20/(-6))/(-5)). Let i(l) = l**2 - 5*l + 1. Let c(h) = -4*h**2 + 20*h - 3. Let m(d) = w*i(d) - 2*c(d). What is m(2)?
3
Suppose q = 3*q + g - 7, -q - 5*g - 1 = 0. Suppose -7 = q*n - 23. Let s(d) = 0 + d**3 + 3*d + n*d**2 - d + 3. Give s(-4).
-5
Suppose 5*h - 12 = 3. Suppose -2*s - 2 = a - 6*s, 0 = h*a + 2*s + 6. Let l be (-1)/(0 + 1/a). Let g(k) = k**3 - 3*k**2 + k + 1. Calculate g(l).
-1
Let o(j) be the second derivative of j**5/60 - j**4/3 + j**3/6 + j**2/2 - 6*j. Let p(x) be the first derivative of o(x). Calculate p(6).
-11
Let c be 1 + 1 + 3 + 0. Suppose -4*j - 9 = -c*u, -5*j - 1 = 4*u - 0*u. Suppose 1 = z - u. Let w(v) = v - 4. Calculate w(z).
-2
Let t(s) be the first derivative of -s**3/3 + 2*s**2 + 2*s - 14. What is t(4)?
2
Let u(g) = -4*g - 1. Let d(p) = -8*p - 2. Let w(c) = 4*d(c) - 7*u(c). Let q(z) = z**2 - 7*z + 3. Let x be q(7). Suppose 6*r - x = 7*r. Calculate w(r).
11
Let z(m) = m - 1. Let r be z(2). Let t(g) = 0*g + g - 2*g - 1. Give t(r).
-2
Let x(t) = -t**3 + 3*t**2 + 4*t - 4. Let q(i) = -i**3 + 6*i**2 - 3*i + 9. Let n be q(6). Let u = 12 + n. What is x(u)?
8
Let s be (-6)/4*60/(-9). Suppose 3*r - v - s = 0, 5*v + 14 = 2*r + r. Let p(w) = 0*w + 3*w + 3*w + 1 + r*w. What is p(-1)?
-8
Let y be 2/(-7) - 52/14. Let x(g) = 3 - 2*g - g + 4*g. What is x(y)?
-1
Let u(y) be the first derivative of -y**3 + y**2/2 + y + 9. Let d(z) be the first derivative of -z**3/3 - z**2/2 + 1. Let o(i) = -4*d(i) + u(i). Give o(-4).
-3
Let n(x) = 6*x. Suppose -i = 3*i. Suppose -4*l - 3*j = -i*l + 16, 3*j + 10 = 2*l. What is n(l)?
-6
Let q(i) = 2*i - 2*i**2 + 7*i - 2*i - 5 + 3*i**2. Give q(-6).
-11
Suppose -6 = -4*d + 2. Let s(g) = 8*g - d*g + 2 + g - 6*g. Determine s(7).
9
Let v(h) = 2*h**2 + 4*h + 1. Let n = -8 - -5. Calculate v(n).
7
Let l(u) = -2*u + 8. Let a(m) = -3*m**2 + 34*m + 17. Let h be a(12). Give l(h).
22
Let n(x) = x**2 - x - 2. Suppose -15*d + 21 = 81. Determine n(d).
18
Let a(u) = 3*u**2 + u**3 - 3 - 3 + 3*u**2. What is a(-6)?
-6
Let l(b) = b**2 - 3*b - 1. Let k be (-5 - -2)*(-2)/3. Let r be l(k). Let t(a) = 5 - 4 + a**2 - 3 + 3 + 2*a. Calculate t(r).
4
Let r(t) = t + 4. Suppose -5 = c - k, -4*k - 7 - 15 = 2*c. What is r(c)?
-3
Let i(t) = 4*t + 0*t - 3*t - 12. Calculate i(6).
-6
Let m(i) = i**2 + 3*i + 2. Let b(t) be the second derivative of -t**2/2 - 5*t. Let d(n) = -3*b(n) - m(n). Give d(-3).
1
Let t(g) = g**2 + 5*g - 1. Let f = 5 + -2. Suppose 42 + 21 = -f*k. Let v be 6/k - 33/7. What is t(v)?
-1
Let k(z) = 20 - 13 - 2*z - 7. Give k(-5).
10
Let h = -14 + 5. Let y be 3*(-2)/h*3. Suppose -q - 5 + y = 0. Let o(k) = -k**2 - 8*k - 4. Calculate o(q).
11
Let h(v) = v**2 - 2*v + 1. Let m = 41 - 40. Give h(m).
0
Let d(r) = -r - 10. Let i(o) = -3*o + 6. Let y be i(-8). Suppose m + 4*m - y = 0. Let v(j) = j**3 - 5*j**2 - 7*j + 1. Let l be v(m). Calculate d(l).
-5
Suppose -2*r = r - 9. Let c(w) = 2 + r*w + 4 + 0*w + 0. Calculate c(-5).
-9
Let w(m) be the first derivative of m**2/2 - 22*m + 10. What is w(0)?
-22
Let l(d) be the first derivative of -d**2 - 6*d + 23. Give l(-4).
2
Let h = -2 + 2. Let t(v) = -2*v**2 + 6*v**2 + 2 - 5*v**2 + h. Let w(d) = 2*d**2 - 3*d + 1. Let y be w(2). What is t(y)?
-7
Let j(t) = -4*t**3 + 2. Let q(b) = -3*b**3 + b + 2. Let w(z) = 5*j(z) - 6*q(z). Let s(f) = -f**3 + f**2 - 1. Let k(d) = -3*s(d) + w(d). Give k(4).
-7
Let g = 35 - 37. Let b be -2*1/4*-2. Let l(d) = -b + 2*d + 2 - d. Calculate l(g).
-1
Let w = 3 + -4. Let u = 6 + -4. Let b(o) = -1 - 2*o + u - 2*o + o. Calculate b(w).
4
Let r = -16 - -10. Let o(z) = -z - 2*z + 2*z + z**2. Let l(d) = 7*d**2 + 2. Let w(q) = r*o(q) + l(q). Determine w(-4).
-6
Suppose 3*k - 1 = 11. Suppose -2*b + k*c + 10 = 0, b - 3*b - 4*c + 10 = 0. Let y(n) = n**3 - 4*n**2 - 7*n + 5. Give y(b).
-5
Let i(h) be the first derivative of h**2 - h + 2. Let j be i(3). Let m(s) = -s**2 + 3*s + 6. What is m(j)?
-4
Let y(c) = c**3 + 3*c**2 - 2*c - 1. Let s(i) = 2*i**2 - i - 1. Let z be s(2). Let x be (-12)/30 + (-13)/z. Calculate y(x).
5
Let x(l) = -4*l + 2*l - 2*l - 3*l. Suppose 0 = -2*d + 6*d + 4. Determine x(d).
7
Let j(h) be the first derivative of -h**3/3 - h + 1. Let v be (-5)/(1*2/(-6)). Let d be ((-4)/5)/((-6)/v). Give j(d).
-5
Suppose 10*i - 13 + 3 = 0. Let a(g) be the first derivative of i - 4/3*g**3 + 4*g - g**2 + 1/4*g**4. Determine a(4).
-4
Let q(g) = g**3 + g - 1. Let c(t) = -5*t**3 - 9*t**2 - 11*t + 11. Let p(j) = -c(j) - 4*q(j). Determine p(-8).
1
Let n(s) be the second derivative of 1/12*s**4 + 0 - 4*s - s**2 + 0*s**3. Give n(2).
2
Let k(m) = m**3 + 111 - 6*m**2 + 0*m**2 - 112. Give k(6).
-1
Let s(m) = 2*m**2 - m - 3. Let u be s(3). Suppose -3*n = -w - 0*n - 8, 0 = -4*n + u. Let i(f) = 2*f + 1. Give i(w).
3
Suppose 9 = 3*x - w - 2, -x + 17 = -3*w. Let l(n) = -3 + 4 + n**3 - 4*n**x + 5*n - 4. Let m = -2 + 5. What is l(m)?
3
Let p(m) = m**3 - 2*m**2 - 4*m + 7. Let r be p(3). Let d(s) = 0*s - r + 0*s - 3*s + 2*s. Let j = 3 - 8. Calculate d(j).
1
Let n be ((-12)/(-42))/(3/(-21)). Let t(v) = 2*v**2 - 5*v**2 + 2*v - 5*v. Calculate t(n).
-6
Let d(g) = 6*g - 7. Let s(b) = -7*b + 8. Let w(z) = -6*d(z) - 5*s(z). Give w(9).
-7
Let k = 26 + -31. Let u(n) = -n**3 + n**2 + 1. Let i(x) = -2*x**3 + 7*x**2 - 6*x + 3. Let q(t) = -i(t) + 3*u(t). What is q(k)?
-5
Let m be 1*3*(-1 + 2). Let r(u) = 7 - 6*u - 2*u + u + u**2. Let v(o) = o**2 - 8*o + 8. Let j(w) = -4*r(w) + 3*v(w). What is j(m)?
-1
Let k(s) = -s**3 - 5*s**2 - 4*s. Let q be k(-4). Let d be (q/4)/(1/1). Let j(m) = m**3 - m**2. What is j(d)?
0
Let t(v) = -12*v**2 + 6*v - 12. Let b = -2 + 4. Suppose 5*g - 20 = -b*c, -2*g + 40 = 3*c + c. Let i(a) = a**2 - a + 1. Let s(r) = c*i(r) + t(r). Give s(-3).
-8
Let m = -8 - -9. Suppose -m = 3*u - 4. Let b(j) = -5*j + 1. What is b(u)?
-4
Let z(o) = 6*o**2 + 14 - 3 - o**3 - 5 - 6*o. Give z(5).
1
Let f(c) = -c**3 + c**2 + 5*c - 3. Let l be f(3). Let b(g) = g + 3. What is b(l)?
-3
Let d(m) be the third derivative of -2*m**2 - 1/12*m**4 + 0 + 0*m - 1/120*m**6 - 1/20*m**5 + 1/3*m**3. Calculate d(-3).
8
Let r(q) = -6*q**2 - 2*q + 6*q + 0*q + q - 5 + q**3. Let o = 9 + -8. Suppose -k + o = -4. Give r(k).
-5
Let a(d) = d**2 - 7*d + 7. Suppose -4*f - 2 = 4*w - 22, -19 = -3*w + f. Calculate a(w).
1
Let n(h) = -h + 6. Suppose -3*t + 11 - 2 = 0. Calculate n(t).
3
Let b(v) = v. Suppose -3*m + 13 = -4*o + 33, o - 3*m = -4. Let u = 51 - 46. Suppose -3*t - 2*j - 2 = 1, u*t = j + o. Give b(t).
1
Let o = -74 + 142. Let d be o/18 - (-4)/18. Let r(t) = -t**3 + 4*t**2 + 2*t - 6. What is r(d)?
2
Suppose 2*m = 6 + 4. Let o(a) be the third derivative of -a**4/12 + a**3/2 - 7*a**2. Give o(m).
-7
Let f(s) be the second derivative of s**3/6 - s**2/2 - 9*s. Give f(-4).
-5
Let z(b) = -b**2 + 10*b - 11. Suppose 6 = 2*o, 0 = 3*q + 4*o - 2*o - 33. Give z(q).
-2
Let i(r) = -2*r**2 + 3*r + 1. Suppose 4 = -4*z - 2*q + 26, 0 = 3*z + q - 17. Suppose -4*k + 7 = -f, 6 - 2 = 4*k. Let a = z + f. Determine i(a).
-8
Let c(k) = -7*k - 1. Suppose 0 = -2*j + 8 + 2. Suppose j*f - 6 = -31. Let o = -4 - f. What is c(o)?
-8
Let a(b) be the third derivative of -b**8/3360 + b**7/2520 + b**6/720 - b**5/60 + 3*b**2. Let w(r) be the third derivative of a(r). Give w(-1).
-7
Let b(c) = 8*c**2 - 5 + 12*c + 5*c**2 - 13*c**2 - c**2. What is b(11)?
6
Let n(b) be the first derivative of b**3/3 - 2*b**2 - 4*b + 2. Let j = -5 - -9. Give n(j).
-4
Suppose -3*g + 17 = 5. Let b(d) = -4*d**3 + 4*d - 5. Let u(j) = -5*j**3 + j**2 + 5*j - 6. Let o(a) = g*b(a) - 3*u(a). Determine o(-3).
-5
Let y(o) = o - 3. Let b be y(1). Let n(l) = 3*l**2 + 3*l + 2. What is n(b)?
8
Let r(o) = 2*o - 1. Let c be 76/(-13) - 4/26. Calculate r(c).
-13
Let a(j) = -j - 2 + 2 + 2*j - 6. Give a(6).
0
Let k = 3 - 7. Let n(u) = -46*u + 93*u - 1 - 48*u + 5 - 3. Calculate n(k).
5
Let f(l) = -l**3 - 3*l**2 + l - 2. Suppose 3*o = 2*o - 4. Let y be 3*3/(-18)*4. Let u be -8*y*1/o. Calculate f(u).
10
Let r(t) = -2*t - 6. Let s(a) = -5*a + 30. Let c be s(7). Give r(c).
4
Let i(w) = w + 5. Suppose 38 = -4*b + 2. Let v be i(b). Let n = v + 5. Let q(u) = -2*u**2 + u - 1. Determine q(n).
-2
Suppose 3*n = 4 + 2. Let x(l) = -n*l**2 - l**2 - 2 - 1 - l + 2*l**2. What is x(0)?
-3
Let q be ((-3)/4)/(2/(-8)). Let r(f) = -4 + 4 + 5*f + 5*f**2 - 3 - q*f + f**3. Calculate r(-4).
5
Let m(r) = 3
|
{
"pile_set_name": "DM Mathematics"
}
|
= 11*a(m) + 2*w(m). Determine h(6).
3
Let i = -6 + 9. Suppose 15 = 8*k - i*k. Let q(t) = t + 8*t**k - 7 + 14 - 8. What is q(1)?
8
Let x = -4 - -6. Let m(h) be the second derivative of 2*h + 1/6*h**3 + 3*h**x + 0. Determine m(-5).
1
Let p(l) = l**3 - l + 1. Suppose -5*r + 13 + 22 = 0. Suppose 0 = -4*z - 3*c + r - 1, 4 = z + 2*c. What is p(z)?
1
Suppose 2*c + 10 = -j, -4 + 11 = -c - j. Let q be -1*2/(-6)*c. Let d(b) be the second derivative of -b**5/5 - b**4/12 - b. Calculate d(q).
3
Let d(c) = 2*c**2 - 3*c**2 + 78*c + 9 - 71*c. Give d(7).
9
Let s(h) be the third derivative of 0*h - 4*h**2 + 0 + 2/3*h**3 + 1/12*h**4. Give s(-4).
-4
Let g(d) = -4*d - 1. Suppose -3*w + 2 = -3*b - 1, -11 = 4*w - b. Determine g(w).
15
Let i(z) = z**3 + z**2 + z + 3. Let t(f) = -f**3 - 10*f**2 - 10*f - 12. Let d be t(-9). Calculate i(d).
-18
Suppose -j = -6*j + 45. Let s = j - 13. Let k = -3 - s. Let m(z) = 5*z - 1. What is m(k)?
4
Suppose 6*f - 18 = -0*f. Let l(n) be the third derivative of 0 + 0*n + 1/60*n**5 + 1/8*n**4 + 1/3*n**f + 3*n**2. Give l(-3).
2
Let y(v) = v**3 - 5*v**2 - v - 2. Let g = -48 + 53. Determine y(g).
-7
Let f(j) = j**3 - j**2 + 3. Let p(a) = a + 11. Let x be p(-11). What is f(x)?
3
Let k(u) = 6*u**2 - u**2 + 9*u + 602*u**3 - 603*u**3 - 2. What is k(6)?
16
Let s(c) = c**3 - 7*c**2 - 7*c - 3. Suppose -7*n + n + 48 = 0. What is s(n)?
5
Let c be (12/(-7))/((-6)/21). Let a(h) = -3*h - 2. Calculate a(c).
-20
Let x(p) = p**3 - 5*p**2 - 5. Let k(l) = -l**2 + 9*l - 9. Let j be k(7). Suppose -o = -2*o + j. Give x(o).
-5
Let z(f) = 8*f + 2*f + f**2 + 5 - 4*f. Let t(x) = x**2 - 9*x + 1. Let g be t(9). Suppose -y - 4 - g = 0. Give z(y).
0
Let h(o) = o**3 + 3*o**2 - 3*o - 4. Let c be h(-2). Let d(t) = t**3 - 5*t**2 - 6*t + 8. Calculate d(c).
8
Let l(y) = y**3 - y**2. Let q be l(2). Let u be (-90)/24 + (-1)/q. Let g(b) = -b + 2. Determine g(u).
6
Let x(q) be the first derivative of -q**3/6 + q**2/2 + q - 3. Let b(p) be the first derivative of x(p). What is b(3)?
-2
Let u(p) = p**3 - 8*p**2 + 7*p + 5. Let i(r) = -r**3 + 9*r**2 - 8*r - 4. Let z(s) = 2*i(s) + 3*u(s). Let c = -97 - -102. Calculate z(c).
7
Suppose 12*x = 5*x - 28. Let n(b) be the first derivative of -b**3/3 - 3*b**2 - 6*b + 1. Determine n(x).
2
Suppose a = -3*k + 6, k + 12 = -4*a + 6*a. Let y(p) = -p**2 + 5*p + 6. Calculate y(a).
0
Let l(o) = o**3 - 5*o**2 + o + 2. Let t = 22 - 31. Let c be 0/((-6)/t*3). Let s = c - -4. Determine l(s).
-10
Suppose 0 = -5*y + 4*y. Let f(x) = -x. Let n(i) = 2*i - 4. Let d(a) = -3*f(a) - n(a). What is d(y)?
4
Let x(r) be the third derivative of -r**9/60480 + r**8/2880 - r**7/720 - r**6/720 - r**5/20 - 5*r**2. Let z(f) be the third derivative of x(f). What is z(6)?
-7
Suppose 2*p = 3*x - 3*p - 8, 12 = -2*x - p. Let g(j) = -3*j - 3. Give g(x).
9
Let o(t) = -t**3 - 6*t**2 - 5*t. Let h be o(-5). Suppose r = -h - 2. Let q(f) be the third derivative of -f**5/60 - f**4/24 + f**3/3 + 8*f**2. Calculate q(r).
0
Let h(x) = -x**3 + 4*x**2 + 3*x + 2. Suppose 5*k - 13 = 4*v, 6*k + 4*v = 2*k + 32. Give h(k).
-8
Let u = 1 - -4. Let p(r) = -2*r + 7. Give p(u).
-3
Let f(l) be the second derivative of -3*l**4/4 + l**3/6 + l. Let u = -14 - -15. Let g(j) = j. Let p be g(u). Determine f(p).
-8
Let u be (-4)/6*(-3 - 0). Let b be (2/(-4))/((-1)/u). Suppose 3*v + 3*p = 3, -p + b = -v - 3*v. Let a(r) = r - 8. Calculate a(v).
-8
Let c(l) = -l**3 + 5*l**2 - 5*l + 3. Let a(v) = v**3 + 3*v**2 - v - 2. Let n be a(-3). Let x(y) = 3*y**2 + 2*y - 1. Let q be x(n). Determine c(q).
-1
Let s(f) = -3*f - 2. Let y(x) = -3*x - 2. Let o be y(-4). Suppose 0*a = 5*a - o. Suppose 0 = 3*l + a*l + 15. Determine s(l).
7
Let d(k) be the second derivative of k**4/12 - k**3/6 + 49*k. Let m(x) = x**2 - 4*x + 3. Let t be m(3). What is d(t)?
0
Let w(q) = -q + 7. Let d(m) = -m - 1. Let g(o) = -2*d(o) + w(o). Let x(h) = -h**2 + h + 2. Let v be x(2). What is g(v)?
9
Let u = 10 - 5. Let w(t) = 6*t + 11 - u - 7. Determine w(1).
5
Let h(o) be the second derivative of -o**4/12 - 5*o**3/6 + o**2 - o. Let a = -6 - -3. Give h(a).
8
Let x be (-3)/(-6) + 11/(-2). Let m(c) = 4*c**2 + 9*c - 3. Let r(p) = 9*p + 5*p**2 - 4*p**2 - 8*p. Let d(y) = -m(y) + 3*r(y). Calculate d(x).
8
Let c(v) = 2*v**2 + 10*v - 4. Let i(y) = y**2 + 5*y - 2. Let g(m) = 4*c(m) - 7*i(m). Let f(n) be the first derivative of g(n). Calculate f(-4).
-3
Let r(t) = -2*t**2 + 3*t**2 + 0*t**2 - t**3 - 6*t - 7*t**2 - 5. What is r(-5)?
0
Suppose -m = -4 - 0. Let g(r) = 3*r - 4. Give g(m).
8
Let j(a) = a**2 + 3*a - 6. Let o be j(-5). Let q(s) = 0*s - o + s + 7. Suppose -5*n = -7 + 22. What is q(n)?
0
Let z(n) = 10*n - 5*n**3 - 5*n + 3 - 1 + 2*n**2. Let g(h) = -4*h**3 + h**2 + 4*h + 2. Let d(q) = -6*g(q) + 5*z(q). Suppose 5*u - 20 = -0. Determine d(u).
2
Suppose -s + 12 = -3*s. Let c(a) = -8*a + 9. Let i(j) = 7*j - 8. Let z(g) = s*c(g) - 7*i(g). Let t = 16 + -13. Calculate z(t).
-1
Suppose -t + 0 + 3 = 0. Let k(m) = t*m + 3 + 3*m**2 - 5*m**2 + m**2. Give k(5).
-7
Let p(w) = -w**2 + 5*w - 5. Let t(m) = m**2 - 5*m + 5. Let f(g) = -4*p(g) - 3*t(g). Determine f(5).
5
Let k(d) = d**3 + 7*d**2 + 4*d - 11. Let h be k(-6). Let m(s) = -6*s**2 - 2*s + 1. Calculate m(h).
-7
Suppose 3*t = -2*t. Suppose t*a + 2 = 2*a. Suppose 0*o + a = -o, d - 2 = -2*o. Let z(n) = -n + 4. Calculate z(d).
0
Let g = -5 + 5. Suppose g*y + 15 = -3*y, 2*d + 8 = -4*y. Let f(p) = p - 6. Give f(d).
0
Let g = -4 - -2. Let k be 14/(4 - (3 - 1)). Let s(v) = 3*v**3 - 9*v**3 - 2*v + k*v**3 - 3. Give s(g).
-7
Suppose 5 = -i + 5*q, -2*i + 5*q = -5*i + 5. Let t = i + 0. Let c(r) = 7 - r - 3*r**3 + 4*r**3 + 2*r. Calculate c(t).
7
Suppose -20 = -4*i + 4*z, 2*z + z + 19 = 5*i. Suppose -k + 5*r - 6 = 0, -i - 8 = -3*k + r. Let s = 0 + k. Let l(p) = -3*p + 5. Calculate l(s).
-7
Let t(d) = -d**2. Let h(c) = -c**3 + 6*c**2 - c + 3. Let u be (-6)/(-4)*10/1. Suppose 0 = -j + 6*j - u. Let g(n) = j*t(n) + h(n). Give g(3).
0
Let n(h) = 14*h**2 - 2 + 3 + 0. Determine n(1).
15
Let y(k) = k + 3. Let m be 14/(-8) + (-1)/4. Let j be 7/(-4) - m/(-8). Let p be (0 - -1)/(j/10). Determine y(p).
-2
Suppose 4*z - 2 = -10. Let q(x) = -x + 7. Let d be q(6). Let v(l) = 3 - d - 3*l + 2*l. Determine v(z).
4
Let x be 1/1 + 2 + 1. Let q(g) = g**3 - 5*g**2 + 5*g - 5. Calculate q(x).
-1
Let c(s) = -s**2 - 5*s - 7. Let u be c(-5). Let r(t) = t**3 + 6*t**2 - 8*t + 7. Calculate r(u).
14
Let v(y) = -5*y - 1 + 11*y - 6*y + y. Calculate v(-1).
-2
Suppose -3*b = -4*i - 6, 0 = -4*b + i - 3*i - 14. Let m(u) = -u**3 + 3*u**2 + 3*u - 3. Let n(r) = r**2 + r. Let g(l) = -m(l) + 6*n(l). Determine g(b).
1
Let h(m) = -4*m**3 + 2*m**2 + 3*m**3 + m**2 + 3*m - 1. Suppose -5*v = u - 29, -4*u - 2*v = -29 + 3. Give h(u).
-5
Let y(a) = -a**2 - 6*a + 10. Let r be y(-7). Let m(g) = g + 5*g**3 - 2*g**2 + g**2 - 4*g**r + 0 - 1. Give m(1).
0
Let u(v) = -v**3 + 6*v**2 + 5*v - 7. Suppose -2*k + 9 = p - 9, -k + p = -3. Determine u(k).
-21
Suppose 23 - 8 = 3*w. Let g(n) = 19*n**3 + 3*n - 13*n**3 - 6*n**2 + 7 - 5*n**3. Give g(w).
-3
Let j be 0/((5 + -4)/(2/(-6))). Let k(d) = -d**3 + d**2 - d + 7. Give k(j).
7
Suppose 3*u - 12 = -4*i + i, -4*i + 2*u = -22. Suppose -4*m = 11 + 5, -i*z + m = 1. Let x be (-5)/(-3)*(z - 2). Let k(o) = -o - 1. What is k(x)?
4
Let t(l) be the second derivative of -l**5/20 - 2*l**4/3 + 7*l**2/2 + 10*l. Determine t(-8).
7
Suppose 34 - 10 = -3*t. Let h(o) be the third derivative of o**5/60 + 3*o**4/8 + 3*o**3/2 + o**2. Let z be h(t). Let q(g) = -5*g. Calculate q(z).
-5
Let o(k) = k**3 - k**2 - k + 1. Let z = -13 - -11. Determine o(z).
-9
Let a(v) = v**3 + 6*v**2 - 8*v - 6. Let o be a(-7). Let i(l) = 6*l + 1. What is i(o)?
7
Let m(i) be the first derivative of -i**2/2 + i + 45. Let j = 7 + -12. Determine m(j).
6
Let o be -1 - (8 + -1 + 1). Let h(t) = t**3 + 9*t**2 + 2*t + 1. Determine h(o).
-17
Let v(g) = g**2 - 5*g - 1. Let k = -5 + 8. Let r(z) = -z + 1. Let c be r(0). Let f = c + k. Give v(f).
-5
Let u(d) = -d**2 + 26*d - 19*d - 1 - 1 + 0*d**2. Suppose -21 = -3*k + 5*v, 3*v + 5 = -4. Suppose 0 = 4*r + k*b - 10, 0 = -r - 3*r - 3*b + 5. What is u(r)?
8
Let a(m) = 3*m**2. Let j be a(-1). Let s(l) be the first derivative of 1/2*l**2 - 1/3*l**j + 2 - 4*l. What is s(0)?
-4
Let w(o) = -5*o**2 - 7*o. Let p(c) = 3*c**2 + 3*c. Let s(a) = -9*p(a) - 4*w(a). What i
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 631. Determine k(-1).
-492
Let r(v) = -v**2 - 433*v - 23314. What is r(-63)?
-4
Let y(t) = 14*t**2 + 66*t + 50. Determine y(-4).
10
Let y(s) = -3*s**2 + 2704*s - 16140. Calculate y(6).
-24
Let y(r) = -r**3 + 151*r**2 + 6959*r + 107. Calculate y(-37).
-4
Let v(c) = -10926*c + 251303. Give v(23).
5
Let c(y) = -494*y - 269198. Determine c(-545).
32
Let m(g) = -16*g**2 + 686*g - 7192. Determine m(18).
-28
Let b(z) = 112216*z - 5498583. Give b(49).
1
Let l(v) = -13*v**3 - 998*v**2 - 138*v - 28323. Determine l(-77).
90
Let v(t) = 26945*t + 404184. Determine v(-15).
9
Let b(r) = -r**3 + 630*r**2 + 1252*r - 22. Determine b(-2).
2
Let a(j) = -3*j**2 - 2898*j + 3685166. Give a(726).
-10
Let w(i) = -4*i**3 + 23*i**2 - 302*i + 1685. Calculate w(6).
-163
Let m(n) = 5740*n - 51651. Calculate m(9).
9
Let y(w) = -40*w**2 - 160*w - 67. Determine y(-2).
93
Let n(l) = -l**2 - 19336*l + 270895. Determine n(14).
-5
Let i(q) = q**3 - 156*q**2 - 546*q + 85383. Calculate i(156).
207
Let p(x) = -x**2 + 9812*x + 265647. Give p(-27).
-6
Let j(s) = 4*s**2 + 659*s + 27049. Give j(-86).
-41
Let k(h) = -h**2 + 767*h - 8312. Determine k(11).
4
Let q(f) = -f**3 + 278*f**2 + 1692*f - 199. Give q(-6).
-127
Let o(k) = 1321*k - 338339. Determine o(256).
-163
Let s(z) = 84*z + 6232. Give s(-76).
-152
Let d(c) = 38*c**2 - 11*c + 12. What is d(1)?
39
Let d(n) = 38*n**2 - 262*n - 8. Determine d(-2).
668
Let l(y) = -y**3 + 39*y**2 - 334*y - 7. Determine l(23).
775
Let k(n) = 357*n - 7511. Determine k(21).
-14
Let q(u) = -u**2 - 1004*u + 59413. What is q(56)?
53
Let j(i) = 43*i**2 - 177*i - 24. Calculate j(0).
-24
Let r(w) = 7*w**3 + 148*w**2 + 226*w + 1039. Determine r(-20).
-281
Let j(t) = 1532*t + 861832. What is j(-563)?
-684
Let t(f) = f**3 + 11*f**2 - 478*f + 171. Determine t(-28).
227
Let l(u) = -u**3 + 13*u**2 - 1854*u + 21763. Calculate l(12).
-341
Let z(w) = w**3 - 17*w**2 + 42*w - 778. Give z(17).
-64
Let q(y) = -73347*y - 46355300. Calculate q(-632).
4
Let z(p) = -158*p**3 + 1419*p**2 + 16*p + 13. Give z(9).
-86
Let g(p) = -2660*p - 4412. What is g(-1)?
-1752
Let h(y) = -8*y**2 - 68*y + 1056. What is h(-23)?
-1612
Let l(y) = y**3 + 79*y**2 + 84*y + 1661. Determine l(-78).
1193
Let x(k) = k**2 - 208*k - 308478. Calculate x(669).
-69
Let f(l) = -57*l**2 - 2679*l + 155. Determine f(-48).
-2581
Let p(d) = -51*d**2 + 756*d - 2688. Calculate p(6).
12
Let d(u) = -2*u**3 - 58*u**2 + 329*u - 380. Give d(-34).
-6
Let a(u) = -148*u**2 - 19275*u - 74731. Give a(-4).
1
Let n(k) = -214*k**2 + 1076*k - 63. Determine n(5).
-33
Let t(q) = -4*q**3 - 488*q**2 + 998*q + 634. Determine t(-124).
-110
Let p(q) = -93*q**2 - 1266*q - 2932. Determine p(-3).
29
Let n(p) = 4416*p - 30919. Calculate n(7).
-7
Let j(i) = -103*i - 3365. Determine j(-43).
1064
Let f(q) = -1694*q - 45664. Determine f(-27).
74
Let p(q) = -q**3 + 39*q**2 + 29*q + 2170. Give p(41).
-3
Let a(n) = -n**2 + 298*n - 3754. Determine a(16).
758
Let n(w) = -753*w + 908. Calculate n(2).
-598
Let r(d) = 26998*d - 105457. Determine r(4).
2535
Let v(x) = 113*x**3 + 3051*x**2 - 2*x - 54. Give v(-27).
0
Let a(k) = k**3 + 197*k**2 - 223*k - 4864. Give a(-198).
86
Let d(l) = 177*l + 65251. What is d(-367)?
292
Let a(l) = l**3 - 25*l**2 - 148*l + 455. What is a(29)?
-473
Let i(m) = 28*m**2 + 490*m + 527. Give i(-17).
289
Let y(t) = -995*t**3 + 7950*t**2 + 84*t - 21. What is y(8)?
11
Let r(k) = -4345*k - 134813. Calculate r(-31).
-118
Let h(r) = -696*r - 12881. Determine h(-19).
343
Let n(u) = 101*u**3 + 1002*u**2 + 20*u + 38. Give n(-10).
-962
Let o(b) = 12*b**3 - 8*b**2 + 19*b + 39. What is o(-2)?
-127
Let y(m) = 10*m**2 - 6109*m + 11696. Calculate y(609).
125
Let p(z) = 38*z**2 + 328*z + 3. Calculate p(-11).
993
Let b(x) = 5*x**2 + 23136*x - 185190. Determine b(8).
218
Let d(s) = -14*s**2 - 795*s - 4839. Give d(-7).
40
Let a(p) = -26674*p - 3094215. Determine a(-116).
-31
Let l(g) = -19*g**2 + 61*g + 736. Give l(8).
8
Let v(c) = -23*c**3 - 13*c**2 - 72*c + 316. What is v(3)?
-638
Let z(k) = -2*k**2 - 17*k - 69. Give z(-16).
-309
Let m(d) = d**3 + 133*d**2 - 547*d + 245. What is m(-137)?
108
Let j(q) = -q**3 - 120*q**2 + 330*q + 10491. Determine j(-122).
-1
Let v(y) = y**3 + 92*y**2 + 2011*y + 90. Calculate v(-57).
-822
Let f(r) = 38719*r - 9215153. Determine f(238).
-31
Let y(x) = -2133*x**2 - 8526*x + 26. Give y(-4).
2
Let m(h) = -2*h**3 + 14*h**2 + 414*h + 216. Determine m(-11).
18
Let j(l) = -14*l**3 - 7*l**2 + 32*l + 86. Give j(-2).
106
Let l(b) = b**3 - 68*b**2 - 147*b + 427. Give l(70).
-63
Let v(f) = -2*f**3 - 88*f**2 + 969*f - 47275. Calculate v(-59).
-16
Let m(w) = 6*w**3 + 36*w**2 - 1088*w - 2046. What is m(-16)?
2
Let y(s) = s**3 + 9*s**2 + 193*s + 1757. Give y(-9).
20
Let i(x) = -444*x + 55135. What is i(124)?
79
Let c(b) = 244*b**3 - b**2 + 109*b + 111. What is c(-1)?
-243
Let f(w) = -31759*w - 349364. Calculate f(-11).
-15
Let m(d) = d**2 - 164*d - 2109. Give m(176).
3
Let n(a) = 4189*a + 20933. Calculate n(-5).
-12
Let c(q) = 2*q**3 + 17*q**2 - 28*q - 689. Calculate c(-13).
-1846
Let u(f) = 2528*f - 36730. Determine u(15).
1190
Let s(x) = 971591*x - 7772712. Give s(8).
16
Let c(i) = -2*i**3 - 274*i**2 + 6898*i - 15589. Give c(-159).
-7
Let k(p) = -1080*p + 78935. Calculate k(74).
-985
Let j(p) = -p**2 - 149*p - 608. Determine j(-145).
-28
Let t(o) = o**2 + 106*o + 2823. What is t(-47)?
50
Let w(k) = -k**3 + 1301*k**2 - 215671*k + 1103. Calculate w(1106).
-3
Let f(i) = 16749*i + 101741. Determine f(-6).
1247
Let u(p) = -3180*p - 58051. Give u(-18).
-811
Let u(s) = -s**2 + 1205*s - 34014. Give u(29).
90
Let k(s) = 10*s**2 + 693*s + 8404. What is k(-12)?
1528
Let g(o) = 29*o**3 - 961*o**2 - 560*o + 22831. Determine g(33).
-5
Let n(a) = 4*a**2 - 2619*a + 221445. Determine n(555).
0
Let g(i) = -12358*i - 815522. What is g(-66)?
106
Let s(p) = p**2 + 38*p - 4690. What is s(53)?
133
Let p(x) = -2*x**3 - 2*x**2 + 29981*x + 7. Determine p(0).
7
Let n(r) = -r**2 - 111*r - 2359. Calculate n(-31).
121
Let k(b) = 3*b**3 - 75*b**2 - 36*b + 858. Give k(25).
-42
Let u(v) = -2278*v - 407762. Give u(-179).
0
Let z(y) = -y**3 - 66*y**2 - 30*y + 777. Calculate z(-66).
2757
Let c(q) = -985*q**2 - 4977*q - 35. Give c(-5).
225
Let d(h) = -215*h**2 + 43*h + 2. What is d(-2)?
-944
Let a(w) = -w**3 - 23*w**2 + 347*w + 321. Give a(11).
24
Let j(c) = -2*c**3 + 46*c**2 - 3778*c + 91903. Give j(24).
79
Let w(a) = -a**3 - 220*a**2 - 6775*a - 1435756. Determine w(-219).
8
Let n(r) = 10*r**2 + 445*r + 5137. Determine n(-14).
867
Let z(y) = 193*y**2 + 18911*y - 329. Calculate z(-98).
-35
Let t(v) = -10632*v + 21338. What is t(2)?
74
Let w(h) = -49*h**2 - 1751*h - 79. What is w(0)?
-79
Let r(k) = k**3 + 25*k**2 - 246*k + 490. What is r(5)?
10
Let f(n) = -2*n**3 + 870*n**2 + 1787*n - 17044. Calculate f(437).
-1
Let k(i) = -17*i**2 + 7161*i - 506794. What is k(90)?
-4
Let k(o) = -3*o**2 - 54*o + 17131. Calculate k(67).
46
Let f(c) = 2*c**2 + 858*c + 3431. Give f(-4).
31
Let a(k) = k**3 - 179*k**2 + 6515*k - 8384. Determine a(129).
1
Let p(m) = -17642*m + 32143712. Determine p(1822).
-12
Let t(g) = 3274*g + 8119. Determine t(-3).
-1703
Let z(m) = -134362*m + 2284163. Give z(17).
9
Let p(b) = 2462*b + 14698. Determine p(-6).
-74
Let i(k) = -28*k - 4895. Determine i(-185).
285
Let i(l) = -6*l**2 - 7530*l + 15059. Determine i(2).
-25
Let y(q) = 2357*q + 108457. Determine y(-46).
35
Let r(w) = 140*w**2 - 9944*w + 293. Determine r(71).
9
Let y(h) = -3*h**3 + 6*h**2 + 17*h - 17. Give y(6).
-347
Let g(f) = -f**3 + 139*f**2 + 495*f + 10756. What is g(143)?
-255
Let p(y) = 2628*y - 57786. Give p(22).
30
Let z(r) = -6125*r - 159249. Give z(-26).
1
Let q(n) = 979*n + 23495. Determine q(-24).
-1
Let u(t) = -t**3 - 26*t**2 - 69*t + 371. Give u(-22).
-47
Let x(k) = -11*k**2 - 3181*k - 9510. Give x(-3).
-66
Let b(y) = -692*y - 1288. What is b(0)?
-1288
Let w(n) = 105*n**2 + 19530*n + 465. Give w(-186).
465
Let b(o) = 9*o**2 + 3099*o + 1202. Give b(-344).
170
Let l(t) = 14*t**3 - 2099*t**2 - 148*t - 285. Give l(150).
15
Let c(g) = -312*g + 72160. What is c(231)?
88
Let v(d) = 8*d**3 - 333*d**2 + 565*d + 138. What is v(2)?
0
Let z(p) = 11*p**3 - 11*p**2 + 29*p - 55. Calculate z(3).
230
Let s(j) = -95568*j + 286622. Calculate s(3).
-82
Let s(p) = 10376*p - 51834. Determine s
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the second derivative of d(i) wrt i?
1032*i**2
Let k(f) be the third derivative of f**7/210 + 19*f**5/15 + 10*f**3/3 - 44*f**2 - f. What is the derivative of k(p) wrt p?
4*p**3 + 152*p
Let g = 49 - 47. Differentiate g*t + t - 6*t - 2*t - 16 wrt t.
-5
Let r(y) be the second derivative of 17*y**6/30 - y**5/5 - 14*y**3/3 + y**2/2 - 181*y. Find the second derivative of r(q) wrt q.
204*q**2 - 24*q
Let h(l) = 3*l**2 - 5*l + 4. Let o be h(3). Let j = o - 9. Differentiate 2*w**4 + j + 5 - 4 - 2 with respect to w.
8*w**3
Let w = -42 - -44. What is the derivative of 1752*k**2 + 2*k**3 - 1752*k**w + 31 wrt k?
6*k**2
Let p(i) be the second derivative of -5*i**8/28 - i**7/21 + 11*i**4/12 - i**3/3 + 49*i. What is the third derivative of p(f) wrt f?
-1200*f**3 - 120*f**2
Let g be 5 + -1 + (-1)/(8/(-24)). Differentiate -g - 5 + 7 - 17*k with respect to k.
-17
Differentiate -210*j**3 - 432 + 131*j**3 - 18*j**3 - 421*j**3 wrt j.
-1554*j**2
Let j be (-1)/(-4) + (-7)/(-4). Let o(q) = q**3 - 3*q**2 + 3*q - 6. Let p be o(3). Differentiate j*w + 6*w + p + 3 - w wrt w.
7
Differentiate 173*l**2 - 131 - 107 - 80*l**2 + 145*l**2 wrt l.
476*l
Find the third derivative of -26*c**3 - 34*c**2 + 22*c**3 + 17*c**3 wrt c.
78
Let i(q) be the third derivative of -26*q**5/15 + 137*q**4/24 + q**3/6 + 18*q**2 - 3. What is the second derivative of i(n) wrt n?
-208
Let q(y) be the first derivative of 119*y**5 - 206*y**2 + y - 404. Find the second derivative of q(d) wrt d.
7140*d**2
Let f(n) be the second derivative of 4*n**5/5 + n**4/12 - n**3/6 + 43*n**2/2 - 96*n. Find the second derivative of f(h) wrt h.
96*h + 2
Let t(w) be the third derivative of -w**6/90 + w**4/6 - 5*w**3/3 - 7*w**2. Let k(a) be the first derivative of t(a). What is the derivative of k(j) wrt j?
-8*j
Let b(v) be the second derivative of -2/15*v**6 + 0 + 5/3*v**3 + 0*v**5 + 0*v**2 + 0*v**4 - 38*v. Find the second derivative of b(u) wrt u.
-48*u**2
Let y(v) = -v**4 + v**3 + 2*v**2 + v + 1. Let q(z) = z**4 - 25*z**3 + 2*z**2 + 80*z + 1. Let w(n) = -q(n) + y(n). What is the second derivative of w(u) wrt u?
-24*u**2 + 156*u
Let q = -2 - -10. Let m(w) = -w + 11. Let y be m(q). Find the second derivative of 3*i + 0*i**y + 3*i**3 + i - 3*i wrt i.
18*i
Let b(f) = -f**3 + f**2 + f. Let o(u) = -235*u**3 - 267*u**2 - 3*u. Let c(s) = -3*b(s) - o(s). What is the third derivative of c(a) wrt a?
1428
Let p(h) be the first derivative of 427*h**4/2 + 152*h**3/3 + h**2/2 + 609. Find the third derivative of p(t) wrt t.
5124
Let m(r) be the third derivative of r**7/105 - 17*r**6/40 + 49*r**5/30 - 4*r**2. What is the third derivative of m(y) wrt y?
48*y - 306
Let s(p) = -p**5 - 3*p**2 + p - 1. Let m(c) = 11*c**5 + 3*c**4 + 24*c**2 - 9*c - 187. Let g(r) = m(r) + 9*s(r). Find the third derivative of g(f) wrt f.
120*f**2 + 72*f
Let k = -54 + 58. Find the second derivative of 14 + 2*l - 2*l + 3*l - 16 - 52*l**k wrt l.
-624*l**2
Let f(j) be the first derivative of -246*j**7/7 + j**3/3 - 114*j + 339. Find the third derivative of f(b) wrt b.
-29520*b**3
Let p(j) = -773*j + 479. Let c(d) = -257*d + 160. Let q(i) = 10*c(i) - 3*p(i). Find the first derivative of q(w) wrt w.
-251
Let a(b) be the first derivative of 3*b**5/2 - 17*b**3/3 + 13*b - 28. Let z(x) be the first derivative of a(x). Find the second derivative of z(p) wrt p.
180*p
What is the second derivative of 75*z**3 - 41*z**3 + 4 - 450*z + 410*z**3 + 25*z**3 - 3 wrt z?
2814*z
Let f = 1486 - 1484. Let k(t) be the first derivative of 0*t**f + 0*t**4 + 9/5*t**5 + 10 + 0*t - 5/3*t**3. What is the third derivative of k(g) wrt g?
216*g
Find the third derivative of -61*q**6 + 5*q**5 - 888*q**2 - 5*q**5 + 923*q**2 wrt q.
-7320*q**3
Let y be 35/10*4/7. Let f be (-3)/(y*12/(-16)). What is the third derivative of -5*s**2 + 7*s**6 + 13*s**f - 5*s**6 wrt s?
240*s**3
Let n(v) be the first derivative of -1 - 2/3*v**3 + 0*v**2 - 4*v. Let p(i) = 3*i**2 + 4. Let g(b) = -5*n(b) - 4*p(b). Differentiate g(o) wrt o.
-4*o
Suppose 16*i = 20*i - 32. Let v be 62/i - (-6)/24. Find the second derivative of 10*b + 5*b - 5*b + 16*b**2 - v*b**2 wrt b.
16
Let a(u) = 33*u**3 + 5*u**2 - 28*u. Let r(o) be the second derivative of o**4/12 + 21*o. Let s(k) = -a(k) + 5*r(k). Find the second derivative of s(g) wrt g.
-198*g
Let y(s) be the first derivative of -s**4 - 10*s**3 + 39*s**2 + 3*s + 21. What is the second derivative of y(g) wrt g?
-24*g - 60
Suppose 107 = 4*h + 11. Find the second derivative of 22*w**5 - h*w - 18*w - 7*w**5 + 31*w**5 wrt w.
920*w**3
Let i(n) = -n**2 - 38*n + 84. Let g(z) = -2*z**2 - 77*z + 167. Let y(w) = 3*g(w) - 5*i(w). Differentiate y(a) with respect to a.
-2*a - 41
Let c = -62 + 51. Let j(b) = 2*b**2 + 1. Let t = 3 + -7. Let h(o) = -5*o**2 - 3. Let r(g) = c*j(g) + t*h(g). What is the first derivative of r(n) wrt n?
-4*n
Let v be (2/4)/((-3 - 4)/(-28)). Find the third derivative of 13*b**v + 24*b**5 - 4*b**5 + 3*b**5 + 18*b**2 wrt b.
1380*b**2
Suppose 2*v - 6 = 2. Suppose i = -v, 0*i = 4*a + i - 136. Find the second derivative of -20*b + 14*b**2 - 2*b + a*b wrt b.
28
Let i(c) be the first derivative of 2*c**5/5 + 8*c**4 + 60*c**3 - 149. What is the third derivative of i(u) wrt u?
48*u + 192
Differentiate -u**3 + 5*u**3 + 3*u**3 + 47 wrt u.
21*u**2
Let b = -21 + -1. Let s = 32 + b. Find the second derivative of 0*w - 161*w**2 + 163*w**2 - s*w wrt w.
4
Let o(x) = 15*x**4 - 27*x**3 - x**2 + 12*x + 78. Let y(p) = -2*p**4 + p**3 - p**2 - 2*p. Let u(i) = -o(i) - 6*y(i). Find the third derivative of u(q) wrt q.
-72*q + 126
Let n(o) = 7*o**2 - 5*o**3 + 4*o**3 + 1 - 6*o**2. Let u(k) = -16*k**3 + 2*k**2 - 3*k + 2. Let d(p) = 2*n(p) - u(p). What is the second derivative of d(a) wrt a?
84*a
Let h(n) = 4*n - 5 - 1 - n + 2. Let z be h(2). What is the third derivative of -9*w**5 + 18*w + w**2 - 18*w - z*w**2 wrt w?
-540*w**2
Let f(n) = 2*n**4 + 3*n**3 + 155*n**2 + 63*n - 9. Let o(y) = -y**4 - y**3 - y**2 + 3. Let i(x) = f(x) + 3*o(x). Find the second derivative of i(s) wrt s.
-12*s**2 + 304
What is the third derivative of 44*c**6 - 5*c**2 - 276 - 288 + 578 wrt c?
5280*c**3
Differentiate 676*c**3 - c**2 - 14 - 4*c**2 - 679*c**3 wrt c.
-9*c**2 - 10*c
Let f(p) = -11*p**2 + 6*p + 17. Suppose 0*m - 2*m = 10. Let q(h) = 11*h**2 - 5*h - 18. Let n(c) = m*f(c) - 6*q(c). Differentiate n(k) wrt k.
-22*k
Let v = -14 - -19. Suppose 2*i + 8 - 40 = 4*o, -v*o - 31 = -i. Find the third derivative of -5*c**4 + i*c**2 - c**4 - c**4 + c**4 wrt c.
-144*c
Let l(m) = 4*m - 6. Let s(p) = 5*p - 6. Let i be (-1)/(-4) - 6/(-8). Suppose -i - 14 = 5*n. Let k(v) = n*l(v) + 2*s(v). Differentiate k(x) with respect to x.
-2
Let o = -6 + 9. Suppose -4*q - o + 15 = 0. What is the derivative of 14*g**q - 19*g**3 + 6 + 2*g - 2*g wrt g?
-15*g**2
Suppose -4*q - 4*u = -12, -3*u = 4*q - u - 6. Suppose q = -5*v + v + 8. Find the third derivative of 1 - v*b**6 + 8*b**2 - 1 wrt b.
-240*b**3
Let p(m) = -2*m**3 - 221*m**2 - 145*m. Let g(c) = 4*c**3 + 442*c**2 + 292*c. Let b(a) = 3*g(a) + 5*p(a). What is the second derivative of b(h) wrt h?
12*h + 442
Find the third derivative of -480*l**2 - 127*l**4 + 191*l**4 - 645*l**4 wrt l.
-13944*l
Let f(k) = -k**4 - 2*k**2 + k - 1. Let m(p) = p**4 - 3*p**2 - 52*p - 2. Let c(d) = -2*f(d) + m(d). What is the second derivative of c(s) wrt s?
36*s**2 + 2
Let x(g) = g**2 - 3*g + 4. Let y be x(3). What is the second derivative of 7 + y*k**2 + 2*k - 53*k**4 - 4*k**2 + 0 wrt k?
-636*k**2
Let x(u) be the second derivative of 0*u**4 + 0*u**6 + 13*u + 1/7*u**7 + 13/6*u**3 + 0*u**5 + 0*u**2 + 0. Find the second derivative of x(n) wrt n.
120*n**3
Let j = -47 - -72. What is the first derivative of -20*d**3 - j - d + d + 4 wrt d?
-60*d**2
Let w(z) be the first derivative of -752*z**5 - 15*z + 759*z**5 - 23 + 60. What is the derivative of w(n) wrt n?
140*n**3
Let y(k) be the second derivative of -5*k**3/2 + 145*k**2/2 + 139*k. Differentiate y(t) wrt t.
-15
Let y(c) = 46*c**2 - 108. Let s(m) = -m**2 + 2. Let t(h) = 10*s(h) + 2*y(h). Differentiate t(r) wrt r.
164*r
Let i(u) = u + 2. Let b be i(7). What is the third derivative of b*y**2 - 13*y**2 + 9*y**5 + 2*y**5 wrt y?
660*y**2
Let p(w) = 2*w**4 + w**2 + 1. Let h(s) = -323*s**4 - s**2 + 15*s + 6. Let r(z) = h(z) - 6*p(z). Find the third derivative of r(i) wrt i.
-8
|
{
"pile_set_name": "DM Mathematics"
}
|
2}. Give prob of picking 1 c, 1 l, and 1 d.
1/34
What is prob of picking 2 a when two letters picked without replacement from uaaaauuaaauuauaauaa?
22/57
Three letters picked without replacement from {u: 4, v: 3, e: 1, x: 2, h: 4, k: 1}. What is prob of picking 1 v, 1 h, and 1 e?
12/455
What is prob of picking 1 w and 1 o when two letters picked without replacement from uuqyuwwqjyyoyqyyyu?
2/153
What is prob of picking 1 h, 2 o, and 1 m when four letters picked without replacement from gdrodrorrgroggrohomg?
2/969
Two letters picked without replacement from {u: 8, y: 2, p: 2, d: 5, k: 3}. What is prob of picking 1 u and 1 p?
8/95
What is prob of picking 2 l when two letters picked without replacement from {l: 7, r: 2, q: 4, d: 1}?
3/13
What is prob of picking 1 m and 2 c when three letters picked without replacement from {m: 1, c: 3}?
3/4
What is prob of picking 1 k, 1 h, and 1 p when three letters picked without replacement from agkzgphppppzppp?
8/455
What is prob of picking 1 w, 1 x, and 1 i when three letters picked without replacement from {d: 3, i: 1, q: 4, w: 5, n: 4, x: 3}?
1/76
What is prob of picking 2 c when two letters picked without replacement from {w: 8, l: 1, c: 10}?
5/19
Two letters picked without replacement from kxxxxxkkxxkxkxxxxkx. What is prob of picking 2 k?
5/57
Calculate prob of picking 1 s, 1 r, 1 k, and 1 l when four letters picked without replacement from lksrikl.
4/35
Four letters picked without replacement from {k: 2, o: 2, n: 5, h: 3}. What is prob of picking 1 n, 2 o, and 1 k?
2/99
Four letters picked without replacement from {c: 5, z: 2, o: 3, t: 1, r: 5}. What is prob of picking 1 z, 1 o, 1 c, and 1 r?
15/182
Calculate prob of picking 1 z and 2 r when three letters picked without replacement from znrrnrrznn.
1/10
What is prob of picking 3 p when three letters picked without replacement from {a: 1, p: 4, d: 1, j: 2}?
1/14
Two letters picked without replacement from dqhobqqhdooqbqd. Give prob of picking 1 b and 1 h.
4/105
What is prob of picking 2 o and 1 y when three letters picked without replacement from {y: 2, q: 2, o: 4}?
3/14
Two letters picked without replacement from {w: 1, g: 2, p: 1}. Give prob of picking 1 g and 1 p.
1/3
Calculate prob of picking 1 z, 1 o, and 1 v when three letters picked without replacement from ovddmvz.
2/35
Calculate prob of picking 3 i when three letters picked without replacement from iiiiiijjjijiiiiiii.
91/204
What is prob of picking 1 k and 1 o when two letters picked without replacement from {b: 2, k: 2, i: 1, o: 4}?
2/9
Calculate prob of picking 2 p when two letters picked without replacement from gppggggpgp.
2/15
Calculate prob of picking 2 e when two letters picked without replacement from ssseepeepeesse.
3/13
What is prob of picking 2 y when two letters picked without replacement from tfybbbbtbtttpfytyt?
1/51
Three letters picked without replacement from {e: 2, k: 1, c: 1, l: 1, m: 1, f: 2}. Give prob of picking 1 c and 2 e.
1/56
Three letters picked without replacement from {k: 1, t: 1, s: 1, l: 2, p: 1, f: 2}. What is prob of picking 1 f, 1 t, and 1 l?
1/14
Calculate prob of picking 3 p when three letters picked without replacement from {p: 8, n: 3}.
56/165
What is prob of picking 1 r, 2 m, and 1 y when four letters picked without replacement from {v: 1, r: 6, y: 3, m: 3, o: 2, e: 4}?
9/646
What is prob of picking 1 c and 3 g when four letters picked without replacement from gaaaugggoaguacaa?
1/182
Calculate prob of picking 2 d and 1 m when three letters picked without replacement from dmmdd.
3/5
What is prob of picking 2 b and 1 w when three letters picked without replacement from {w: 2, f: 1, d: 7, k: 3, b: 5}?
5/204
Two letters picked without replacement from {l: 1, v: 1, n: 1, a: 1, j: 1}. What is prob of picking 1 j and 1 l?
1/10
Calculate prob of picking 1 l and 1 q when two letters picked without replacement from llql.
1/2
Three letters picked without replacement from bbub. Give prob of picking 1 u and 2 b.
3/4
Three letters picked without replacement from {z: 3, r: 2}. Give prob of picking 1 z and 2 r.
3/10
Three letters picked without replacement from {e: 15, v: 4}. Give prob of picking 3 e.
455/969
Four letters picked without replacement from {t: 1, x: 1, e: 6, l: 3, g: 1, s: 1}. Give prob of picking 1 s, 2 t, and 1 x.
0
What is prob of picking 1 c and 1 t when two letters picked without replacement from {t: 3, c: 17}?
51/190
Calculate prob of picking 1 q, 1 z, and 1 b when three letters picked without replacement from {e: 1, b: 6, y: 1, z: 3, q: 2}.
18/143
What is prob of picking 1 o and 2 u when three letters picked without replacement from {o: 3, w: 3, u: 13}?
78/323
Calculate prob of picking 3 f when three letters picked without replacement from {f: 2, v: 1}.
0
Two letters picked without replacement from {o: 2, l: 1, u: 1, y: 2, n: 2}. Give prob of picking 1 o and 1 y.
1/7
Four letters picked without replacement from {z: 2, o: 4, s: 1, n: 3, l: 2, t: 3}. What is prob of picking 1 n, 1 o, and 2 z?
4/455
What is prob of picking 3 n when three letters picked without replacement from nunnf?
1/10
Two letters picked without replacement from {x: 1, k: 4, o: 3, e: 2, l: 1}. What is prob of picking 2 o?
3/55
What is prob of picking 2 f and 1 e when three letters picked without replacement from {r: 1, f: 4, o: 1, e: 6, v: 1}?
18/143
What is prob of picking 1 a and 1 i when two letters picked without replacement from gniggaggaigngaxia?
3/34
What is prob of picking 2 q and 2 l when four letters picked without replacement from eqqeqqqeqqeeeqqql?
0
What is prob of picking 1 h and 1 j when two letters picked without replacement from ehvjvvehzeehhjoeheo?
10/171
What is prob of picking 3 i and 1 n when four letters picked without replacement from iiiinniiin?
1/2
Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {u: 1, a: 1, l: 2, s: 4}.
2/7
What is prob of picking 1 k and 1 q when two letters picked without replacement from {n: 1, q: 3, m: 2, a: 3, x: 3, k: 3}?
3/35
Calculate prob of picking 1 f and 1 w when two letters picked without replacement from dclwldwaddldf.
1/39
Calculate prob of picking 1 b, 1 x, and 2 j when four letters picked without replacement from {j: 2, x: 1, b: 1, y: 1}.
1/5
What is prob of picking 2 h and 1 m when three letters picked without replacement from mkpqpmhhppih?
3/110
Three letters picked without replacement from {a: 3, v: 6, s: 9, q: 1}. Give prob of picking 1 s, 1 a, and 1 v.
54/323
What is prob of picking 1 m and 2 t when three letters picked without replacement from tcmmccmcctmmcmmmm?
9/680
Four letters picked without replacement from ffoffffffffffoflo. What is prob of picking 3 f and 1 o?
429/1190
Calculate prob of picking 3 a and 1 z when four letters picked without replacement from {a: 11, z: 1}.
1/3
What is prob of picking 1 h and 1 y when two letters picked without replacement from {g: 1, y: 1, l: 2, h: 1}?
1/10
Two letters picked without replacement from nnnnrbngggrngnbgngr. What is prob of picking 2 r?
1/57
Calculate prob of picking 2 z and 1 d when three letters picked without replacement from {d: 1, u: 1, x: 5, z: 2}.
1/84
Calculate prob of picking 2 g when two letters picked without replacement from {a: 6, g: 6}.
5/22
Calculate prob of picking 1 q and 2 e when three letters picked without replacement from {q: 4, l: 6, h: 2, u: 1, e: 3}.
3/140
Two letters picked without replacement from wuhwwihxwwuxiuuhxnuu. What is prob of picking 1 h and 1 u?
9/95
Three letters picked without replacement from ffffffzfzzfzzf. What is prob of picking 1 z and 2 f?
45/91
Calculate prob of picking 2 m and 1 l when three letters picked without replacement from lmlmlmmm.
15/28
Calculate prob of picking 1 s and 1 l when two letters picked without replacement from njlljjs.
2/21
What is prob of picking 2 g and 2 y when four letters picked without replacement from gycccygcycccg?
9/715
Three letters picked without replacement from {b: 2, v: 1, r: 5, j: 1}. Give prob of picking 1 v, 1 r, and 1 b.
5/42
What is prob of picking 1 o and 1 d when two letters picked without replacement from {j: 2, o: 7, d: 1}?
7/45
What is prob of picking 1 s, 1 z, and 2 l when four letters picked without replacement from {z: 4, v: 1, s: 2, p
|
{
"pile_set_name": "DM Mathematics"
}
|
(-500)). Is s/(4 + 7/(-2)) a multiple of 10?
True
Does 9 divide (-2)/1 + 67 + -4?
False
Let u(p) = -p**2 + 16*p + 3. Let z(f) = f**2 - 16*f - 3. Let c(n) = 7*u(n) + 6*z(n). Is c(11) a multiple of 17?
False
Suppose -o - 6 + 1 = 0, -5*o - 29 = 2*x. Does 26 divide 4/(-2)*(x/1 - 11)?
True
Is 6 a factor of ((-9)/2 + -1)/(16/(-1344))?
True
Suppose -3*v + 2344 = v. Suppose -7*w + 2*w - 5 = 0, -4*w = 5*q - v. Does 15 divide q?
False
Let b be (8/2 + -22)*-24. Let m = b - 292. Is m a multiple of 20?
True
Let x = 199 + 47. Does 9 divide x?
False
Let w = 73 + -121. Suppose -l - 6 = 18. Let x = l - w. Does 11 divide x?
False
Let m = -418 + 771. Suppose 13 = -10*f + m. Does 29 divide f?
False
Let t(z) = z**2 + 6*z - 17. Let m be t(-8). Does 17 divide (10 - 7) + 31*(m + 2)?
True
Let q(h) = h**3 + 6*h**2 + 3*h - 4. Let m be q(-4). Suppose 0 = -2*u + m + 200. Does 18 divide u?
True
Suppose -4165 - 260 = -15*w. Suppose -4*o = q + o - w, 3*q = -3*o + 897. Is q a multiple of 20?
True
Let j = 45 - 150. Let h = 116 + j. Does 10 divide h?
False
Let n(h) = -8*h + 70. Does 35 divide n(0)?
True
Let z = 324 - -881. Does 34 divide z?
False
Let s(m) = 13*m**2 - 15*m - 7. Does 25 divide s(7)?
True
Let q(k) = 2*k**3 + 11*k**2 + 2*k + 6. Let l be q(5). Suppose 2*w = -5*d + l, 3*w - 4*d - 397 - 472 = 0. Is 27 a factor of w?
False
Suppose -3 = -3*c - r - 19, -4*c = r + 20. Let y(z) = z**3 + 4*z**2 + 1. Let j be y(c). Is 3 - (j - (-84)/(-2)) a multiple of 11?
True
Let t(m) = -m**3 - 8*m**2 - 8*m - 3. Suppose -6 = h - 5*d + 6, h - 3*d = -10. Let l be t(h). Is l*(-6)/(-9)*3 a multiple of 4?
True
Let d(v) = -v**3 - 5*v**2 - v + 7. Let k be d(-5). Suppose 0*x + 5 = 5*x, -3*a + k = -3*x. Is 10 a factor of (-294)/(-15) + 2/a?
True
Suppose -6*y - 66 + 6 = 0. Is y/(-3)*(-36)/(-24) a multiple of 4?
False
Suppose 0 = -2*x + 6*x + 404. Let o = 145 + x. Is 4 a factor of o?
True
Does 6 divide 143/11 + -11 + 110*2?
True
Let z be 24/(3 - 27/6). Let c = z - -26. Suppose 2*h - 6 = 0, -3*t + 3*h + 38 + c = 0. Is 13 a factor of t?
False
Let n(k) = k**2 + 10*k - 1. Let d(w) = -w**2 + 8*w - 9. Let a be d(8). Let g be n(a). Let o = g + 28. Does 10 divide o?
False
Suppose 23*m - 25*m = -736. Is m a multiple of 10?
False
Let g(m) = -72*m - 88. Is 56 a factor of g(-9)?
True
Suppose 6 = -4*t - 2*x, 5*t + 3*x = -x - 15. Let q be 0*(2 + -1)*t. Suppose q = 5*m - 2 - 58. Is m a multiple of 8?
False
Let k(b) = -15*b - 49. Let m be k(6). Let q = m + 254. Is 13 a factor of q?
False
Suppose 0 = -3*t - 4*r + 2770, -r = 3*t + 2*t - 4645. Is 15 a factor of t?
True
Let l be (-362)/(-6) - (-3)/(-9). Suppose 4*n = y - 4 - 10, 2*y - 2*n - 28 = 0. Let q = l + y. Does 29 divide q?
False
Let x(w) = w**2 - 7*w - 64. Is 19 a factor of x(-15)?
True
Let q(a) = -a**2 - a + 5. Let x be q(-3). Is 17 a factor of (68/(-8))/(x + 18/20)?
True
Suppose -3*z = 18*z - 45024. Does 32 divide z?
True
Suppose 5*m = 15 - 75. Let p = m - -14. Suppose 3*y + 75 = -0*w + 2*w, -2*y = p*w - 50. Is w a multiple of 15?
True
Suppose 5*q + 3*j + 27 = 0, 10 = 3*q - 4*q + 4*j. Is q*(-152)/12 - 3*1 a multiple of 6?
False
Let c be -22*(-4 + -1)*2. Let l = -68 + c. Is l a multiple of 24?
False
Let r = -389 + 741. Let g = -204 + r. Is g a multiple of 37?
True
Suppose l = -5*z + 6624 + 974, -3*z = 5*l - 4550. Is 44 a factor of z?
False
Let a = -728 - -1409. Is 61 a factor of a?
False
Suppose 0 = j + 2*i - 74, 4*i = j + 4*j - 440. Suppose j - 16 = 2*r. Is 14 a factor of r?
False
Let d(y) = -y - 11. Let r be d(-14). Suppose r*t = 2*m + 75, 84 = 3*t + 2*m - 7*m. Let h = t + 9. Is h a multiple of 8?
True
Does 37 divide 2/(8/276) + 5?
True
Suppose 4*j + 9 = -35. Let s(k) = k**3 + 18*k**2 + 18*k + 15. Let o be s(-17). Is 11 a factor of o*j/6*3?
True
Let b(g) = -7*g - 6. Let f be b(-6). Let o = f - 15. Is 7 a factor of o?
True
Let w(z) = 16*z + 20*z + 10 - 48*z - 2*z**2. Is w(-6) a multiple of 4?
False
Let q = -223 + 378. Suppose l + 102 = 2*z, 4*l + 3 = 3*z - q. Is 10 a factor of z?
True
Let u(t) be the third derivative of 9*t**2 + 0 - 5/3*t**3 + 0*t - 7/24*t**4. Is u(-4) a multiple of 9?
True
Is ((-1935)/45)/(66/34 + -2) a multiple of 2?
False
Let u be (2 + (-178)/(-5))/(2/20). Let v = -258 + u. Is 17 a factor of v?
False
Let v be ((-264)/(-77))/((-1)/(-7)). Suppose 7*j - 6*j - v = 0. Is j a multiple of 24?
True
Let j = 596 - 423. Does 48 divide j?
False
Suppose 0*r - 21 = t + 5*r, 6 = 2*r. Let q = t + 125. Is 19 a factor of q?
False
Suppose 4*z - 72 = -4*q, -z - 3*q = 4*z - 90. Let r be 1*-3*z/3. Let u = r + 33. Is u a multiple of 5?
True
Let j(u) = u**3 + 5*u**2 - 7*u - 1. Let l(y) = -7*y**2 + y + 2. Suppose 15 = -3*g - 2*g - 2*w, 2*g + 5*w = -27. Let v be l(g). Does 5 divide j(v)?
True
Let r = -26 - -46. Suppose 2*p = -2*p + r. Suppose -p*d - 3*y + 215 = 0, 0*d + d - 43 = 4*y. Does 22 divide d?
False
Suppose -z + 2*f + 80 = 7*f, 2*f - 152 = -2*z. Let u = z + -61. Does 7 divide u?
True
Let j = 39 - 27. Suppose -5*u = u - j. Does 13 divide (1/u)/((-2)/(-356))?
False
Suppose -19*y + 30*y = 539. Is y a multiple of 10?
False
Let z be 95*((-90)/25)/6. Does 11 divide 1/(-2) - z/6*7?
True
Suppose -5157 - 3830 = -11*r. Is 7 a factor of r?
False
Suppose 3*y - y - 74 = 0. Let f = y + -13. Does 6 divide f?
True
Suppose -5*v + 7855 = 5*x, 0 = 5*v - 2*x - 5033 - 2787. Is v a multiple of 29?
True
Let u(c) = 99*c**2 - 2*c + 8. Is u(2) a multiple of 11?
False
Let d(x) be the third derivative of x**5/30 - x**4/12 - x**3 - 9*x**2. Let a be d(3). Is 10 a factor of 120/9*a/5?
False
Suppose 0 = 2*k - 3*c - 34, 0*k = -k + 5*c + 31. Suppose -k*z + 5*z = 0. Suppose 5*v + 5 = -b, -3*b + 2*v + 2*v + 80 = z. Does 7 divide b?
False
Let z be (-5)/20 - (-21)/4. Suppose p = 5, 0*k + z*k + p = 70. Suppose 2*f - 11 = k. Does 6 divide f?
True
Let f(s) = -13*s**3 - 16*s**2 - 11*s - 13. Is 6 a factor of f(-6)?
False
Let v = -5 - -10. Suppose -3*p = 4 - 16, 5*s = -v*p + 30. Suppose -31 = -s*h + 5. Does 5 divide h?
False
Suppose 472 = 5*l - 258. Suppose 15*y - 666 = 6*y. Let k = l - y. Is 10 a factor of k?
False
Let b = 151 - -107. Is b a multiple of 43?
True
Let k(m) = -1. Let h(c) = -4. Let p(l) = -h(l) - 4*k(l). Let t(v) = -v + 23. Let q(n) = -7*p(n) + 2*t(n). Does 4 divide q(-14)?
False
Let f(j) = -2*j**2 + 10 - 7*j - 6*j + 10*j + 3*j**2. Let p = 7 - 0. Does 14 divide f(p)?
False
Suppose 3*b = -f + 2093, -b = -4*f - f - 671. Is b a multiple of 36?
False
Let o(z) = 5*z**3 + z**2 + z - 3. Suppose 5*u - 15 = c, -u + 27 = -c - 4*c. Is o(u) a multiple of 16?
False
Suppose 0 = -41*o + 29*o + 6480. Is o a multiple of 45?
True
Let y = 16 + -12. Let o be (-1)/2*(-12 + y). Suppose -o*k - 2*r = -160, -5*k - 5*r + 263 = 73. Is 21 a factor of k?
True
Let m = -2261 - -2454. Does 48 divide m?
False
Let f be 345/(-39) + 4/(-26). Is (-344)/f - 8/36 a multiple of 8?
False
Let z = 12 + -9. Suppose z*m = 180 + 174. Is 20 a factor of m?
False
Let m = -4294 - -7252. Is m a multiple of 29?
True
Let l = 771 + -391. Suppose 23*q + l = 28*q. Is 6 a factor of q?
False
Suppose -5 = t - 6*t. Let h(o) = -o**3 + 2*o**2. Let q be h(2). Suppose -j - t + 15 = q. Does 3 divide j?
False
Suppose -65 = -3*q + 859. Is q a multiple of 28?
True
Let r = -7 + 5. Let o(a) = -23*a**3 - a**2 + 2*a. Let l be o(r). Suppose -24 = 4*z - l. Is z a multiple of 12?
False
Does 26 divide 97/19 + 112/(-1064) + 329?
False
Let x(i) = 28*i**2 + 3*i - 1. Let j be x(1). Suppose 0 = 2*u - 3*k - 95, 6*u + 2*k - j = 5*u. Is 4 a factor of u?
True
Let z(x) = x**3 + 16*x**2 - 5*x + 182. Is z(-13) a multiple of 29?
True
Is 4460/100 - 24/15 a multiple of 26?
False
Let a = -3 - -8. Suppose -5*s + 2 + 8 = a*j, -5*s + 3*j = 22. Is 3*1 - 54/s a multiple of 23?
False
Let h(t) = -5*t**3 - t**2 + 5*t + 6. Let k(b) = 9*b**3 + b**2 - 10*b - 11. Let a(g) = -7*h(g) - 4*k(g). Let s be a(3). Let z = s - 5. Is z a multiple of 4?
True
Let w(k) = -k - 1. Let i be w(-5). Suppose -5*b + 2*t = -i*b + 10, 2*b + t - 5 = 0. Suppose 2*u + 3*u - 100 = b. Does 3 divide u?
False
Suppose 2*h = -3*i + 1029, 0*i + 3*h = -4*i + 1371. Does 23 divide i?
True
Let d = -2031 + 2800. Is 2 a factor of d?
False
Suppose 0 = 6*p - 18*p + 252. Does 9 divide p?
False
Suppose -4*b + 3*b = -47. Suppose 3*u = -l + 3, 4*u = -5*l - 7 - 0. Suppose -64 = -3*s - 5*y, 16 = -u*s - y + b. Is 6 a factor of s?
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 13356)
Solve -4*d**4 + 16112*d**3 - 23515776*d**2 + 14886669888*d - 3470215725504 = 0.
822, 1562
Factor -2*n**3 + 796*n**2 + 2075686*n.
-2*n*(n - 1237)*(n + 839)
Determine g, given that -g**3/6 - 589*g**2 - 1284544*g/3 + 1722160 = 0.
-2508, -1030, 4
What is b in -25*b**3 - 2106435*b**2 - 2948970*b - 842560 = 0?
-84256, -1, -2/5
Let -16*f**5/7 - 225246052*f**4/7 - 201112488*f**3 - 3040820528*f**2/7 - 2477705504*f/7 - 450491904/7 = 0. What is f?
-14077872, -2, -1/4
Factor -3*v**3 + 1023*v**2 - 56478*v - 117072.
-3*(v - 271)*(v - 72)*(v + 2)
Let 68*t**4 - 1166124*t**3 - 15311664*t**2 + 54231536*t + 6590208 = 0. What is t?
-16, -2/17, 3, 17162
Suppose 9747*s**5/4 + 3934785753*s**4/2 + 1588441323106083*s**3/4 - 13933697633334*s**2 + 122225423148*s = 0. Calculate s.
-403692, 0, 1/57
Let 62*k**5/11 - 4702642*k**4/11 + 89170549322*k**3/11 + 83431435058*k**2/11 - 184103726800*k/11 + 11506445000/11 = 0. Calculate k.
-2, 2/31, 1, 37925
Factor g**2 - 915874*g + 209706295969.
(g - 457937)**2
Factor -z**3 - 13639*z**2 + 49*z + 668311.
-(z - 7)*(z + 7)*(z + 13639)
Factor -5*q**2 + 401868700*q - 8074922601984500.
-5*(q - 40186870)**2
Let -3*x**4 + 501*x**3 - 15513*x**2 - 88341*x - 72324 = 0. What is x?
-4, -1, 49, 123
Factor 5*a**2 - 136576880*a + 932662207526720.
5*(a - 13657688)**2
Factor w**3/2 + 16439*w**2/2 + 238022*w + 1263570.
(w + 7)*(w + 22)*(w + 16410)/2
Determine d so that 26*d**3/7 - 19982*d**2/7 + 768080*d/7 - 1082400 = 0.
20, 9471/13
Factor -4*r**3 + 3640720*r**2 - 828460397908*r + 14911107592392.
-4*(r - 455081)**2*(r - 18)
Let -5*x**3 + 1108730*x**2 - 61316384220*x - 16388701607880 = 0. Calculate x.
-266, 111006
Solve c**3 + 188331*c**2 - c - 188331 = 0 for c.
-188331, -1, 1
Solve -3*f**5 - 1308*f**4 - 152616*f**3 - 2182464*f**2 - 6940080*f - 6350400 = 0 for f.
-210, -12, -2
Factor -s**2/4 + 38513307*s/2.
-s*(s - 77026614)/4
Factor -q**2/2 - 391*q + 106572.
-(q - 214)*(q + 996)/2
Determine o so that -o**3/3 + 1895789*o**2/3 + 15166364*o/3 + 7583188 = 0.
-6, -2, 1895797
Let n**3/2 - 54251*n**2/2 - 325537*n/2 - 271285/2 = 0. Calculate n.
-5, -1, 54257
Let -2*l**3/15 + 58*l**2/15 + 30802*l/15 - 10286/5 = 0. Calculate l.
-111, 1, 139
Find d, given that d**4/11 + 11750*d**3/11 + 35232716*d**2/11 + 4191510154*d/11 + 4156289187/11 = 0.
-5813, -123, -1
Factor 3*r**3 + 2741598*r**2 + 43864800*r.
3*r*(r + 16)*(r + 913850)
Let 2*p**2/3 + 719182*p/3 + 1917776 = 0. Calculate p.
-359583, -8
Factor 2*s**2/13 - 44830900*s/13 + 251226199351250/13.
2*(s - 11207725)**2/13
Factor -4*t**3 - 13272*t**2 + 605916*t + 1937088.
-4*(t - 48)*(t + 3)*(t + 3363)
Factor 7156746819563364*o**2 + 169195116*o + 1.
(84597558*o + 1)**2
Solve -465*h**3 + 581720*h**2 - 6348855*h + 68200 = 0 for h.
1/93, 11, 1240
Factor -s**4 - 1396525*s**3 - 650091697650*s**2 - 100872561728749500*s + 504379061110755000.
-(s - 5)*(s + 465510)**3
Factor -4*h**3/5 + 2948544*h**2/5 - 8845596*h/5.
-4*h*(h - 737133)*(h - 3)/5
Suppose b**4/3 + 2435*b**3/6 - 125483*b**2/6 - 31675*b/3 = 0. What is b?
-1267, -1/2, 0, 50
Suppose 5*x**5 - 1355*x**4 - 92420*x**3 - 347680*x**2 = 0. Calculate x.
-53, -4, 0, 328
Solve -2*s**5/11 + 244*s**4/11 - 5890*s**3/11 + 47480*s**2/11 - 126888*s/11 + 107136/11 = 0.
2, 9, 16, 93
Factor -5*h**2 - 209075*h + 118864680.
-5*(h - 561)*(h + 42376)
Determine z, given that -1908*z**2 + 13928401*z - 7300 = 0.
1/1908, 7300
Let -2*s**5 - 2378*s**4 - 654350*s**3 + 2643610*s**2 - 3314648*s + 1327768 = 0. Calculate s.
-751, -442, 1, 2
Factor -3*p**2 + 58815*p/4 + 5392143.
-3*(p - 5244)*(4*p + 1371)/4
Factor f**3/3 - 91442797*f**2/3 + 2090446235074403*f/3 + 2090446326517201/3.
(f - 45721399)**2*(f + 1)/3
Let -h**4/4 - 17713*h**3 - 23622183*h**2/4 + 17840632*h - 11917373 = 0. What is h?
-70517, -338, 1, 2
Determine a, given that 4*a**3/7 - 5499316*a**2 + 32995880*a - 307961504/7 = 0.
2, 4, 9623797
Factor r**3 + 3996442*r**2 + 3992911143385*r + 47914358234700.
(r + 12)*(r + 1998215)**2
Find r such that -722402*r**2 - 1224342776*r - 518760756872 = 0.
-509294/601
Factor 2*i**2 - 1825232*i + 1825230.
2*(i - 912615)*(i - 1)
Factor a**2 + 96072*a + 5952620.
(a + 62)*(a + 96010)
Factor -5*a**2 - 63765*a - 1527480.
-5*(a + 24)*(a + 12729)
Find j, given that 3*j**4/2 - 411889431*j**3 + 56550967789834587*j**2/2 = 0.
0, 137296477
Factor -5*o**2 - 15650*o + 15655.
-5*(o - 1)*(o + 3131)
Factor 2*l**2/13 + 1346286*l/13 - 2692580/13.
2*(l - 2)*(l + 673145)/13
Suppose 2*q**5/9 - 9742*q**4/9 + 11838902*q**3/9 + 59565230*q**2/9 - 154608208*q/9 + 83213816/9 = 0. What is q?
-7, 1, 2438
Factor -2*g**4/17 - 7410*g**3/17 - 7167600*g**2/17 - 32761000*g.
-2*g*(g + 85)*(g + 1810)**2/17
Determine m so that -4965*m**5 + 94345*m**4 - 367600*m**3 - 1091560*m**2 + 2981200*m - 6000 = 0.
-3, 2/993, 2, 10
Determine p, given that -5*p**4 + 9995*p**3 + 30060*p**2 - 60020*p - 80080 = 0.
-4, -1, 2, 2002
Factor k**3 + 4905987*k**2 + 6017174658048*k - 6017179564036.
(k - 1)*(k + 2452994)**2
What is c in 2*c**4/9 + 142*c**3/3 - 20894*c**2/3 + 1849774*c/9 - 595840/3 = 0?
-320, 1, 49, 57
Determine u, given that 2*u**4 + 2684*u**3 - 539056*u**2 + 23698752*u - 301093632 = 0.
-1524, 28, 126
Suppose -2*k**5 - 32*k**4 - 168*k**3 - 352*k**2 - 256*k = 0. What is k?
-8, -4, -2, 0
Let 5*a**3 - 3785*a**2 + 115630*a + 17504840 = 0. What is a?
-53, 92, 718
Let 12*n**5/11 + 778*n**4/11 - 5540*n**3/11 - 20486*n**2/11 - 12780*n/11 = 0. What is n?
-71, -2, -5/6, 0, 9
Factor 2*y**3/3 - 2166914*y**2/3 - 4333834*y/3 - 722306.
2*(y - 1083459)*(y + 1)**2/3
Let 2*m**3/7 - 193614*m**2/7 + 25135758*m/7 + 3618482 = 0. What is m?
-1, 131, 96677
Solve -56*v**3 - 1753866*v**2 + 3069395*v - 1315473 = 0.
-438491/14, 3/4, 1
Suppose n**3/3 + 3112*n**2/3 + 141616*n - 1199450112 = 0. Calculate n.
-2004, 896
Factor 4*n**2 - 16900288*n + 50700828.
4*(n - 4225069)*(n - 3)
What is s in -4*s**2/7 - 292*s + 4896320/7 = 0?
-1391, 880
Factor -1292*o**2/11 - 1830790*o/11 - 36842/11.
-2*(o + 1417)*(646*o + 13)/11
Let 394*r**5 + 787*r**4 - 4730*r**3 - 7080*r**2 + 10656*r - 27 = 0. What is r?
-3, 1/394, 1, 3
Solve -k**4/7 + 4506*k**3 - 248629793*k**2/7 - 1492756716*k/7 - 1244095380/7 = 0.
-5, -1, 15774
Suppose -12*a**5/7 - 23186*a**4/7 + 1564002*a**3/7 - 28760850*a**2/7 + 92502698*a/7 - 65282652/7 = 0. Calculate a.
-1998, 1, 17/6, 31
Suppose 3*k**2/7 + 11778111*k/7 - 11778114/7 = 0. What is k?
-3926038, 1
Determine y so that -885*y**4/2 + 4531033*y**3/4 + 4960491*y**2/4 + 425127*y/4 - 2561/4 = 0.
-1, -1/10, 1/177, 2561
Factor -2*g**3 + 1187448*g**2 - 2374890*g + 1187444.
-2*(g - 593722)*(g - 1)**2
Factor -2*q**2/7 - 289118*q/7 + 3758872/7.
-2*(q - 13)*(q + 144572)/7
Factor -w**2/7 - 5192*w/7 - 1084332/7.
-(w + 218)*(w + 4974)/7
Find v, given that -v**2/5 + 4259*v/5 - 4301964/5 = 0.
1647, 2612
Factor l**2/6 - 2673217*l/3 + 5346433/6.
(l - 5346433)*(l - 1)/6
Suppose -5*p**2 - 27335*p - 3573110 = 0. Calculate p.
-5333, -134
Suppose -v**4/5 - 28908*v**3/5 + 520669*v**2/5 + 28908*v/5 - 520668/5 = 0. Calculate v.
-28926, -1, 1, 18
What is v in 5*v**5 - 95680*v**4 + 482386070*v**3 - 235879425600*v**2 + 30388397185125*v = 0?
0, 265, 9303
Determine t, given that 53*t**2/2 + 51159*t/4 + 50735 = 0.
-50735/106, -4
Let -3*v**4 - 1125564*v**3 - 3376674*v**2 - 3376668*v - 1125555 = 0. What is v?
-375185, -1
Let -7*u**3/3 - 35110276*u**2/3 - 14675373099465*u + 4192964698086 = 0. Calculate u.
-2507877, 2/7
Factor 4*t**3/7 + 712*t**2/7 + 29884*t/7 + 8136.
4*(t + 2)*(t + 63)*(t + 113)/7
Find a, given that 8*a**2/23 + 118878*a/23 - 624330/23 = 0.
-14865, 21/4
Factor -d**2 - 46*d + 1060371.
-(d - 1007)*(d + 1053)
Solve -2*h**3/13 - 87622*h**2/13 - 175230*h/13 + 262854/13 = 0 for h.
-43809, -3, 1
Factor -2*p**2/11 - 75473802*p/11 + 75473804/11.
-2*(p - 1)*(p + 37736902)/11
Determine o, given that 4*o**2 - 4872*o - 1792576 = 0.
-296, 1514
Let n**3/2 + 40629*n**2 - 11151679*n/2 - 22953390 = 0. What is n?
-81395, -4, 141
Find q such that -483*q**2 + 10322*q + 600 = 0.
-4/69, 150/7
Factor -a**2 + 452607*a - 7694030.
-(a - 452590)*(a - 17)
Factor b**4/6 - 233083*b**3/6 + 2264954356*b**2 - 151577607048*b.
b*(b - 116508)**2*(b - 67)/6
Solve l**3 + 83907*l**2 - 12945549*l - 13029455 = 0.
-84061, -1, 155
Find r, given that r**2 - 5028008*r + 6320216112016 = 0.
2514004
Determine c so that 2*c**3 + 12662
|
{
"pile_set_name": "DM Mathematics"
}
|
prime number?
False
Is 17893119 a prime number?
False
Is 1214841997 composite?
False
Is 612439 a prime number?
True
Is 22951361 a composite number?
False
Is 57440351 a prime number?
True
Is 49417541 prime?
False
Is 49103 prime?
True
Is 7166447 composite?
False
Is 2516603 a prime number?
True
Is 66881341 a composite number?
True
Is 6532397 a prime number?
True
Is 17480693 a prime number?
True
Is 6516826 a prime number?
False
Is 12034991 a prime number?
True
Is 4790237 a composite number?
False
Is 8672611 composite?
True
Is 113507 a prime number?
False
Is 6429721 a prime number?
False
Is 1094839 composite?
True
Is 314962103 a composite number?
False
Is 343191127 prime?
False
Is 468011 a prime number?
True
Is 3083867 a composite number?
True
Is 7569121 composite?
True
Is 1310620543 a prime number?
True
Is 2262733 a composite number?
True
Is 4864771 composite?
True
Is 11063279 composite?
False
Is 7538123 composite?
True
Is 3933731 prime?
True
Is 55745045 composite?
True
Is 29521981 composite?
False
Is 15673937 a prime number?
True
Is 17205467 a prime number?
True
Is 28079353 composite?
False
Is 7780307 prime?
True
Is 157237211 composite?
True
Is 1348727 prime?
True
Is 19234165 a prime number?
False
Is 107345561 a prime number?
False
Is 4951333 a prime number?
True
Is 61976429 prime?
False
Is 1407545 composite?
True
Is 7108931 composite?
False
Is 20438711 a composite number?
False
Is 60671729 a composite number?
False
Is 717441029 a prime number?
False
Is 70570637 a composite number?
False
Is 190591829 a prime number?
True
Is 443411 a composite number?
True
Is 35614771 a prime number?
True
Is 568907387 prime?
False
Is 14620798 composite?
True
Is 296811301 composite?
False
Is 655231 a composite number?
True
Is 12671531 composite?
False
Is 38909593 composite?
False
Is 4042201 prime?
False
Is 65045203 a prime number?
False
Is 237857377 prime?
True
Is 5289343 a composite number?
False
Is 20645791 composite?
False
Is 6074399 a composite number?
False
Is 1449857 prime?
False
Is 48159421 a prime number?
True
Is 36222377 composite?
True
Is 15031021 a composite number?
False
Is 141619 a composite number?
False
Is 272417053 a prime number?
False
Is 117707669 a prime number?
True
Is 18847879 prime?
False
Is 31319411 composite?
False
Is 47904121 composite?
True
Is 1642967 a prime number?
False
Is 53940659 a composite number?
False
Is 56043821 a composite number?
False
Is 191393 a composite number?
True
Is 11594677 a composite number?
True
Is 24361541 a composite number?
False
Is 2603395 composite?
True
Is 19468067 composite?
True
Is 394423727 a composite number?
False
Is 75810197 prime?
False
Is 201928231 a composite number?
False
Is 1328891 composite?
False
Is 32068921 a prime number?
True
Is 3607771 a prime number?
True
Is 7747561 composite?
False
Is 6919361 prime?
True
Is 9559469 a composite number?
False
Is 75205387 composite?
True
Is 53517767 composite?
False
Is 9377419 prime?
True
Is 277310261 a prime number?
True
Is 33378767 a composite number?
True
Is 20620141 composite?
True
Is 580217 composite?
True
Is 18307169 prime?
False
Is 276581 a prime number?
True
Is 50929267 prime?
True
Is 99498257 prime?
True
Is 920609 a composite number?
False
Is 80631141 prime?
False
Is 880655123 composite?
True
Is 116347459 prime?
False
Is 5186339 prime?
False
Is 390307 composite?
False
Is 23852197 prime?
True
Is 9630623 prime?
False
Is 276461 prime?
True
Is 1419793 a prime number?
False
Is 105994661 composite?
False
Is 58994153 prime?
True
Is 2782597 prime?
True
Is 3135211 prime?
True
Is 126299 a composite number?
True
Is 4785323 a prime number?
True
Is 3620917 a prime number?
True
Is 772061 composite?
False
Is 115392767 composite?
True
Is 6730463 a composite number?
False
Is 118371535 composite?
True
Is 470689 a composite number?
False
Is 9264163 composite?
False
Is 27833861 prime?
False
Is 503989 composite?
False
Is 20124305 prime?
False
Is 337821643 a prime number?
False
Is 169300711 composite?
False
Is 21884927 composite?
True
Is 28715569 composite?
True
Is 3245041 a composite number?
False
Is 343703435 prime?
False
Is 466877083 a prime number?
False
Is 1780179961 prime?
False
Is 4320649 prime?
False
Is 4058185 a prime number?
False
Is 3515593 prime?
True
Is 2436463 composite?
True
Is 3348335 composite?
True
Is 6766571 a prime number?
False
Is 1534727 a composite number?
False
Is 195069337 a composite number?
False
Is 305897 a composite number?
True
Is 258115447 a composite number?
False
Is 4150583 prime?
False
Is 149561299 prime?
False
Is 16808381 a prime number?
True
Is 13408757 a prime number?
True
Is 377956513 a composite number?
True
Is 459873889 prime?
True
Is 92360911 a prime number?
False
Is 11821483 prime?
True
Is 3990203 composite?
True
Is 111013743 a prime number?
False
Is 333594263 a prime number?
True
Is 167072153 prime?
True
Is 94291649 a prime number?
False
Is 10158682 a composite number?
True
Is 14705881 a composite number?
False
Is 16078093 a composite number?
True
Is 364953191 a composite number?
False
Is 178699987 prime?
False
Is 46708003 a prime number?
True
Is 17850197 a composite number?
False
Is 190129 composite?
False
Is 87479761 prime?
True
Is 318036529 composite?
False
Is 884003 a prime number?
True
Is 8538053 a prime number?
True
Is 15558337 prime?
True
Is 172736863 composite?
True
Is 21832477 composite?
False
Is 255173 prime?
True
Is 2084023 a composite number?
False
Is 10996621 a prime number?
True
Is 169889 a prime number?
True
Is 9425089 composite?
True
Is 22595191 prime?
True
Is 9684221 prime?
False
Is 1454867 a prime number?
False
Is 270140503 composite?
False
Is 354243629 composite?
False
Is 27603727 prime?
True
Is 16899149 prime?
True
Is 4457471 a prime number?
True
Is 9228721 a composite number?
True
Is 74218321 prime?
True
Is 15871937 a prime number?
True
Is 16774189 prime?
False
Is 10520239 a composite number?
True
Is 765458227 composite?
False
Is 5402987 a prime number?
False
Is 4948981 prime?
False
Is 857018 prime?
False
Is 246586489 prime?
False
Is 3351223 prime?
True
Is 221471399 composite?
False
Is 2549869 a composite number?
True
Is 6473437 a prime number?
True
Is 15492053 a composite number?
True
Is 7464191 a prime number?
False
Is 624656471 a prime number?
False
Is 2506705 prime?
False
Is 5306251 prime?
False
Is 2072899 a composite number?
True
Is 178987 composite?
False
Is 23932471 a prime number?
False
Is 102127 prime?
False
Is 56136697 a composite number?
True
Is 48945599 a composite number?
False
Is 4497619 a prime number?
False
Is 439658981 composite?
True
Is 1446893 a prime number?
False
Is 30977141 a composite number?
True
Is 2559683 a prime number?
False
Is 49508321 composite?
False
Is 121411333 composite?
False
Is 11268641 composite?
False
Is 172496719 a composite number?
False
Is 3760639 a composite number?
False
Is 22866779 prime?
False
Is 7568939 prime?
False
Is 3820097 a composite number?
False
Is 8789821 a prime number?
True
Is 705171967 prime?
True
Is 4256407 composite?
False
Is 20003161 a prime number?
True
Is 3291817 a composite number?
False
Is 3421499 a prime number?
True
Is 2381801 prime?
False
Is 247883 a prime number?
False
Is 3193177 a composite number?
True
Is 1777231 prime?
False
Is 439913 a prime number?
False
Is 404357 a prime number?
True
Is 3939097 prime?
False
Is 7854683 a prime number?
True
Is 75827387 a prime number?
True
Is 13806701 prime?
False
Is 1702409 a prime number?
True
Is 37051923 composite?
True
Is 4804697 a composite number?
False
Is 151158741 prime?
False
Is 11201689 a composite number?
False
Is 3423223 prime?
True
Is 4385453 composite?
True
Is 324253409 composite?
False
Is 7472489 a composite number?
False
Is 5430937 prime?
True
Is 13612199 a prime number?
True
Is 137001829 prime?
False
Is 2833969 a composite number?
False
Is 533285 composite?
True
Is 382815817 composite?
True
Is 57890561 a prime number?
True
Is 21474421 a prime number?
True
Is 14129351 prime?
False
Is 3941669 composite?
False
Is 154121707 composite?
True
Is 917209 composite?
False
Is 86379 composite?
True
Is 729959333 a prime number?
False
Is 18448891 a composite number?
False
Is 1918414 prime?
False
Is 8331943 a composite number?
False
Is 18542549 a composite number?
False
Is 1542389 a composite number?
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) 3/5 (c) 2/3
a
Which is the nearest to 2/3? (a) -0.01 (b) -1/2 (c) 1
c
What is the closest to 1 in 39, 5, -1/3?
-1/3
Which is the closest to -1/3? (a) -0.6 (b) 0.4 (c) -464/5
a
What is the closest to -3/23 in 4/3, -3/2, -0.1?
-0.1
Which is the nearest to -2/7? (a) 1 (b) -1/3 (c) 127
b
Which is the nearest to 2/41? (a) 1/2 (b) -1/4 (c) 1 (d) 1/3
d
What is the nearest to 2 in -2/7, 0.042, -2/9?
0.042
Which is the closest to -3? (a) 2/3 (b) -0.5 (c) 120
b
What is the nearest to 6 in 1, -0.4, 3, -0.1?
3
What is the closest to 2 in -4/3, -2, 0.4, -42?
0.4
What is the closest to 0.1 in 35, 5, 2/11?
2/11
What is the closest to 0 in 3/4, -49.5, -0.3?
-0.3
What is the nearest to 2.1 in -3/8, -0.5, -0.4?
-3/8
Which is the closest to 1/3? (a) 1 (b) 0.004 (c) 0
b
Which is the closest to -677? (a) 1/5 (b) 3 (c) 4
a
What is the closest to 2/7 in -40, 1/3, -0.1?
1/3
Which is the nearest to -343? (a) 2 (b) 1/5 (c) -5
c
Which is the nearest to -0.351? (a) 1/5 (b) 1/4 (c) 2
a
Which is the nearest to -0.1? (a) -2 (b) -133 (c) -3 (d) -1
d
Which is the nearest to 0.1? (a) -0.006 (b) -0.3 (c) -3 (d) -1
a
Which is the nearest to 3/53? (a) -0.1 (b) -0.2 (c) -2 (d) 0.3
a
Which is the closest to 2/9? (a) -3 (b) -1/2 (c) 3
b
What is the closest to 43 in -3/7, -0.5, 1/5, -2/5?
1/5
Which is the closest to -0.6? (a) -2/3 (b) -10/49 (c) 1/4 (d) -2/15
a
Which is the closest to -3? (a) -0.5 (b) -4 (c) -0.9 (d) 1/7
b
Which is the closest to 0.1? (a) -1 (b) 1/10 (c) -0.2 (d) -0.29
b
What is the nearest to 0.3 in -0.1, -0.2, 64, 3/2?
-0.1
What is the nearest to 0.1 in 2/3, 5, -20?
2/3
Which is the nearest to -0.1? (a) 131 (b) 3/2 (c) 1/2
c
Which is the closest to 0? (a) -2 (b) 4/5 (c) 0.0345
c
What is the closest to 1/2 in 0.2, -2/3, 2/17, 376?
0.2
Which is the nearest to 5? (a) 0.4 (b) -1/2 (c) 5 (d) -2/7
c
Which is the nearest to 0.2? (a) 2/3 (b) 2/7 (c) -0.8
b
Which is the nearest to 1? (a) 1/5 (b) -0.2 (c) 820
a
What is the nearest to -1 in 2/5, 20.7, -1, -0.4?
-1
What is the closest to 36 in -4, 5, 0?
5
What is the nearest to -0.1 in 0.3, -4, -28/9, 4?
0.3
Which is the nearest to -1/4? (a) -1 (b) -1/4 (c) -0.4 (d) -73
b
What is the closest to 2/5 in -1, 0.4, 8/13?
0.4
Which is the closest to 2/7? (a) -5 (b) 7 (c) 1/3
c
Which is the closest to 2? (a) 5 (b) -0.08 (c) 0.09 (d) -3
c
What is the nearest to 1 in -1, 3/2, -2/9, 1?
1
Which is the closest to -0.2? (a) 0.1 (b) -5 (c) 631
a
Which is the nearest to -3/31? (a) 14 (b) 2/7 (c) -4
b
What is the closest to 1 in -0.2, 4, -14, 5?
-0.2
Which is the nearest to 0? (a) 610 (b) 5 (c) -2 (d) -1
d
What is the nearest to 0 in 0.3, -1/5, -5, 0?
0
What is the nearest to -9.2 in -1/4, -3, 3?
-3
What is the nearest to 22/5 in 5, -3, 1, -5?
5
What is the closest to 1/6 in -1/2, -2/13, 2/5?
2/5
What is the closest to -19 in 0.3, -39, -3/7?
-3/7
What is the closest to -2/13 in 1.47, 4, 1?
1
Which is the closest to -0.4? (a) 3 (b) 2/31 (c) -21
b
What is the closest to 3 in 1, 4, -1/9?
4
What is the closest to 0.1 in 1/11, -4/5, 0.1, -1?
0.1
Which is the nearest to -39? (a) -1/9 (b) 5 (c) 0
a
Which is the closest to -0.3? (a) 0.4 (b) 52 (c) 4/7 (d) -2/15
d
What is the closest to 1 in -1/3, -1, -3/14?
-3/14
What is the nearest to 0 in 16, -2/17, -5, 18?
-2/17
Which is the nearest to 1/4? (a) 14 (b) -4 (c) -12
b
What is the closest to -0.2 in -0.087, -1, -1/6?
-1/6
What is the nearest to 0.1 in -0.5, -0.0383, -10, -3/7?
-0.0383
What is the closest to -0.1 in -2, -0.3, 2/19, 1/71?
1/71
What is the closest to 0 in 0, -0.7, -0.3?
0
Which is the closest to 1/3? (a) -0.4 (b) 3 (c) -0.5 (d) -5
a
Which is the nearest to 32? (a) -6 (b) 3/5 (c) 0 (d) -2
b
Which is the nearest to 0.1? (a) 5/106 (b) -5 (c) -4
a
What is the nearest to -2/11 in -2/5, 0, -2/9, -0.2?
-0.2
Which is the nearest to -61? (a) -1 (b) -1/5 (c) -5 (d) -2
c
What is the nearest to -3 in -0.4, -0.1, 4?
-0.4
What is the closest to 5 in 5/3, 3, -3.5?
3
Which is the closest to 1/3? (a) -5 (b) 0.2 (c) 0.1 (d) 5
b
What is the closest to 0.02 in 0.3, 4, 2/7?
2/7
What is the nearest to 1/3 in 6, 8, 0, -0.1?
0
What is the closest to 0 in -3/17, -3/5, -0.3, 3/14?
-3/17
What is the closest to 0.1 in -0.4, 51, 3, 0.4?
0.4
What is the nearest to 1/2 in -0.4, -0.5, -11, -3?
-0.4
What is the nearest to 2/3 in 0.4, -0.01, 158?
0.4
What is the closest to 2 in 0.006, 0, 2, 2/17?
2
What is the nearest to 2 in 32/3, 0.2, 0.3?
0.3
What is the closest to 30 in -4, 4/3, 4, 5?
5
What is the closest to 0.18 in 1, 2, 0, 0.1?
0.1
What is the closest to 0.1 in 29, 3, -62?
3
What is the closest to -0.1 in 0.07, 0.04, -4?
0.04
What is the closest to 0.02 in 53, -2, -9?
-2
What is the closest to 0 in 0.3, 1/2, -2, -3?
0.3
Which is the closest to 0.1? (a) 37/5 (b) 0.5 (c) 2
b
Which is the closest to -7? (a) -9 (b) -8 (c) -1/9
b
What is the nearest to 0.1 in -1/8, 1/8, 231?
1/8
Which is the nearest to -11? (a) -0.5 (b) 2/9 (c) 3/7 (d) 0.4
a
Which is the nearest to 73? (a) 2 (b) 0 (c) -10
a
Which is the nearest to 45? (a) 1 (b) -24 (c) 0.4
a
What is the closest to -6 in 3, -1/6, 5?
-1/6
What is the closest to 0 in 0.5, 1/4, 339, -0.4?
1/4
What is the nearest to -2/3 in -0.4, -1/2, 4, 0.4?
-1/2
What is the nearest to -19 in 0.09, -3/5, -4?
-4
Which is the closest to 4? (a) 1/2 (b) 0 (c) -1 (d) 7
d
Which is the closest to -1/3? (a) 4 (b) 3/8 (c) 1 (d) -1
d
What is the nearest to -3 in -2, 4/3, -1/2, -1/8?
-2
Which is the closest to 1? (a) 0 (b) -12/17 (c) -2/7 (d) -0.3
a
Which is the nearest to 1/4? (a) -15 (b) -4 (c) 34
b
What is the closest to -1/4 in 1/2, -0.3, 0.2, 0.26?
-0.3
Which is the nearest to 0.1? (a) 6/11 (b) -2 (c) 0.06 (d) -0.3
c
What is the nearest to 0.02 in 7/2, 2, -2/31?
-2/31
Which is the nearest to 1/5? (a) -0.02 (b) 5 (c) 2/3 (d) -4
a
Which is the closest to -4? (a) -2/3 (b) -4 (c) -11
b
Which is the nearest to 0.048? (a) 0.1 (b) -3 (c) -2
a
Which is the closest to 1.4? (a) 4 (b) -13 (c) 7
a
What is the nearest to 0 in -3, 0.2, -0.1, -0.4?
-0.1
Which is the nearest to -1.6? (a) 3/5 (b) -1 (c) -4
b
Which is the nearest to 0? (a) -2/77 (b) -5 (c) 2
a
Which is the nearest to -0.2? (a) 3/5 (b) -10/39 (c) 1/9
b
Which is the closest to 0.1? (a) -1/2 (b) 14 (c) 5
a
Which is the closest to -1? (a) 1/41 (b) -2/9 (c) -0.4
c
Which is the nearest to -46? (a) -2/17 (b) -3 (c) -5 (d) 24/11
c
What is the nearest to -1 in -2/19, -4/1813, 1?
-2/19
What is the nearest to -98 in -2/9, -0.3, -0.5?
-0.5
What is the closest to -3/7 in 4, 5, 2/9, 2/13?
2/13
What is the nearest to 5 in -1, -39, 4, -3?
4
Which is the nearest to 0.1? (a) 4 (b) 0.7 (c) -12 (d) -3
b
Which is the closest to 1/3? (a) -1/111 (b) -2 (c) 2/13 (d) 2/3
c
What is the closest to 0 in 0.01, -10, -24?
0.01
Which is the nearest to 3? (a) 2 (b) -0.3 (c) 0.3 (d) 0
a
What is the nearest to 0 in 5, -1/5, 22?
-1/5
Which is the nearest to -45? (a) 0 (b) -1/2 (c) 2
b
Which is the closest to 0.1? (a) 5 (b) 1 (c) 6 (d) 4
b
Which is the closest to -2/5? (a) -1/2 (b) 4 (c) -3/4
a
Which is the closest to 0.021? (a) 0.3 (b) -1/9 (c) -2
b
What is the closest to 23 in -0.3, -1/2, 0.04?
0.04
What is the nearest to 1 in -3, 3, -2/3, 1/10?
1/10
What is the closest to 0 in -2/9, 4, 2?
-2/9
What is the closest to -1 in 3, 1, 21?
1
What is the nearest to -4.94 in 0.5, 5, 0.02?
0.02
What is the closest to 553 in -0.4, 0, 3?
3
What is the closest to -0.1 in -20, 0.3, -0.1, -5?
-0.1
Which is the closest to -9/2? (a) 2/5 (b) -0.3 (c) -2/9 (d) 0.1
b
What is the closest to 6 in 1, 0.5, 8?
8
What is the nearest to -1 in 3, -8/17, -84?
-8/17
Which is the nearest to 2? (a) 3 (b) -5 (c) 2/13 (d) 4
a
Which is the closest to -265? (a) 2 (b) -5 (c) 1
b
What is the closest to 1 in -1/5, 1/7, -4?
1/7
What is the nearest to 1.4 in -6, 4, -1, -3?
-1
Which is the closest to 2/5? (a) -0.0975 (b) -0.2 (c) -2
a
Which is the nearest to -1/3? (a) 1102 (b) -0.3 (c) 1/2 (d) 3/4
b
What is the closest to -0.1 in -0.5, -2/5, 0.7, 0?
0
Which is the closest to -0.1? (a) 4 (b) 5 (c) -6 (d) -0.1
d
Which is the closest to 4/13? (a) -5 (b) -2/3 (c) -0.4 (d) -3
c
W
|
{
"pile_set_name": "DM Mathematics"
}
|
ond derivative of 5465437*c**2*z - 630112*c*z + 2*c + z wrt c?
10930874*z
What is the second derivative of 42709*o**2*x**2 - o**2*x + 2*o + 2637138*x**2 wrt o?
85418*x**2 - 2*x
Find the second derivative of -461933987*x**2 + 9917*x + 7275 wrt x.
-923867974
Find the third derivative of 1142*k**3*s + 583*k**3 - 426*k**2*s + 132*s - 13 wrt k.
6852*s + 3498
What is the first derivative of 232*o**4 - 1567*o**3 - 51*o - 230223280?
928*o**3 - 4701*o**2 - 51
What is the third derivative of 5016107*i*z**3 - 97*i + 14101*z**2 wrt z?
30096642*i
Differentiate 2446*a**2*j**2 + 99*a**2*n**2 + j**2*n**2 + 4*j**2*n + 9*j**2 - 95*n**2 with respect to a.
4892*a*j**2 + 198*a*n**2
Find the first derivative of 2*o**4 + 47811522*o**2 - 189187892 wrt o.
8*o**3 + 95623044*o
What is the second derivative of 43*m**2*q**2 - 160*m**2*q*x - 143*m**2*q + 51*m*q**2 - m*q*x - m - 21*q**2*x + 2*q*x wrt q?
86*m**2 + 102*m - 42*x
What is the third derivative of -1490285*c**4 + 24498250*c**2?
-35766840*c
What is the second derivative of -160653266*z**5 + 6113*z + 2874?
-3213065320*z**3
What is the third derivative of 884144*h**4 - 57*h**3 + 2*h**2 + 20*h - 239262?
21219456*h - 342
Find the first derivative of 95473478*c**4 - 108085602.
381893912*c**3
What is the second derivative of -113*q**2*s - 78220*q**2 - 430*q*s - 68*q - 19*s - 1 wrt q?
-226*s - 156440
What is the second derivative of -49600282*b**2 - 15189*b + 114?
-99200564
Find the second derivative of 877614*b**2*s**2 + 340*b*s**2 - 87*b*s wrt b.
1755228*s**2
What is the second derivative of -29228*j**4 - 3804*j**3 + j**2 + 348041939*j wrt j?
-350736*j**2 - 22824*j + 2
Find the second derivative of -1680050*c**5 + 3290*c + 674.
-33601000*c**3
Find the first derivative of -41318839*j + 9213583 wrt j.
-41318839
What is the second derivative of -9572120*f**2 - 420*f - 9886?
-19144240
What is the derivative of 66821553*p**2 - 367271350 wrt p?
133643106*p
What is the second derivative of 8188*v**3 + 4435*v**2 + 123161470*v?
49128*v + 8870
What is the first derivative of -8354*y**4 + 17*y**3 + 1158*y - 1369922000 wrt y?
-33416*y**3 + 51*y**2 + 1158
What is the first derivative of 80146901*h**3 + 42374867 wrt h?
240440703*h**2
Find the second derivative of 19284442*u**2 - 3732980*u wrt u.
38568884
Find the first derivative of h**2*u - 102759*h**2 + 72*h - 13199224*u wrt h.
2*h*u - 205518*h + 72
Find the third derivative of 4*n**3*s**3 - 572*n**3*s - 557*n**3 - 2*n**2*s**2 - 2*n**2 - 929*n*s**3 - 6*s**3 + 68 wrt n.
24*s**3 - 3432*s - 3342
What is the second derivative of v**5 - 3*v**4 - 1385575*v**3 + 60*v - 513041?
20*v**3 - 36*v**2 - 8313450*v
What is the first derivative of -152*m**3 + 36177*m**2 - 62222077?
-456*m**2 + 72354*m
Find the third derivative of -12346738*n**3*x**5 + 12823604*n**3*x**2 wrt x.
-740804280*n**3*x**2
Find the third derivative of 51*b**3*w**2 - 39*b**3*w + 4*b**3 + 46*b**2*w**2 + b**2*w + 1542*b*w**2 wrt b.
306*w**2 - 234*w + 24
Find the third derivative of 276724472*b**2*f**3 - b**2*f**2 + 29*b**2*f - 8*b**2 - 10*b*f**2 + 2*f**2 - 1448 wrt f.
1660346832*b**2
Differentiate -24*g**2*o + 18*g**2*u + 162*g*o**2 - 12*o**2*u + 8*o**2 - o*u - 5*u - 11 with respect to g.
-48*g*o + 36*g*u + 162*o**2
Differentiate 12602*a**4 - 772*a - 11704542 wrt a.
50408*a**3 - 772
What is the second derivative of 9803588*l**4 - 2*l**3 + 5*l**2 - l + 152910640?
117643056*l**2 - 12*l + 10
What is the second derivative of 1158091*u**4 - 127*u**3 - 2903006*u - 49 wrt u?
13897092*u**2 - 762*u
What is the third derivative of -46736750*p**3 + 787*p**2 - 1831*p?
-280420500
What is the second derivative of -3682045*r**3 - 7715060*r?
-22092270*r
Find the first derivative of 2*k*l**2*w - 67302*k*w + 8*k + 9*l**2*w + 64*l**2 + l*w + 3*w wrt k.
2*l**2*w - 67302*w + 8
Find the second derivative of -27162176*z**4 + z**3 - 987543*z + 10.
-325946112*z**2 + 6*z
Differentiate -3*g*m*x + 34*g*m + 43840*g + 467323*m*x with respect to x.
-3*g*m + 467323*m
What is the third derivative of 23156*k**4*o - 285*k**3 + k**2*o + 31607049*k*o wrt k?
555744*k*o - 1710
Differentiate 8*p**3 + 278460*p + 89128453 wrt p.
24*p**2 + 278460
Find the first derivative of -z**3 - 20*z**2 + 3230*z - 23577312.
-3*z**2 - 40*z + 3230
What is the second derivative of 478*p**2*y**2 + 794*p**2*y - 12*p**2 + 2*p*y**2 + p*y - 3*p - 74*y**2 + 15814*y + 2 wrt p?
956*y**2 + 1588*y - 24
What is the third derivative of -495146*g**4*x**3 + g**4*x - 2*g**2*x**3 - 3*g**2*x - 1214*g*x**3 - 364*x**2 wrt g?
-11883504*g*x**3 + 24*g*x
Find the first derivative of 281312*i*p**2 + 412*i*p - 2*p**2 + 12612810*p wrt i.
281312*p**2 + 412*p
What is the second derivative of 26547504*b*l**2 + 2246380*b*l + 3*l wrt l?
53095008*b
Find the first derivative of 118164994*c**3 + c + 130624985.
354494982*c**2 + 1
Find the first derivative of 3436572*p*q**3*r - p*q**3 + 27*p*q**2 + 845*p + 5*q**3*r + 2*q**3 + 203 wrt r.
3436572*p*q**3 + 5*q**3
What is the second derivative of 4*d**2*s**3 + d**2*s**2 - 14948159*d**2 - 2*d*s**3 + 5*d*s**2 - 7973*d*s - 3*s**3 - s - 6 wrt d?
8*s**3 + 2*s**2 - 29896318
Find the third derivative of 214947*t**5 + 20*t**3 + 5290080*t**2 + 3.
12896820*t**2 + 120
What is the derivative of -39*h**2*k**2 + 83353*h*k**3 + h*x - 2*k**3*x + 3028*k**3 - 5*k**2*x + 527*k*x wrt h?
-78*h*k**2 + 83353*k**3 + x
What is the third derivative of -296455706*m**3 + 274619452*m**2 wrt m?
-1778734236
Find the second derivative of -629101987*b**3 + 4746819*b - 10.
-3774611922*b
What is the first derivative of -14232127*c**3*r - 11*r + 175242 wrt c?
-42696381*c**2*r
What is the second derivative of -2*g**4*m + 1489709*g**3*m**2 - 4520*g*m**2 + 246*g wrt g?
-24*g**2*m + 8938254*g*m**2
Find the second derivative of 26773*j*v**2 - 2433710*j*v - 2059*v**2 + 4*v - 4 wrt v.
53546*j - 4118
What is the second derivative of 5059954*y**4 + 5426972*y?
60719448*y**2
What is the second derivative of -3*l**4 - 749879*l**3 - 6120613*l?
-36*l**2 - 4499274*l
Find the third derivative of -14250412*g**6 + 8538956*g**2.
-1710049440*g**3
What is the third derivative of -84410153*n**3 - 55427420*n**2 wrt n?
-506460918
Find the first derivative of g*u - 444077*g + 611184*u - 59 wrt u.
g + 611184
Find the third derivative of -664*c**6 - 2509*c**5*t + 2651*c**2 + 2107*t wrt c.
-79680*c**3 - 150540*c**2*t
What is the third derivative of -404267594*a**3*h*t - 2*a**3*h - 2*a**2 - 265509*a*h*t - 9*a*h - h*t - 1 wrt a?
-2425605564*h*t - 12*h
Find the second derivative of -474337*v**4 - 2*v**3 + 3*v**2 + 2527*v - 604 wrt v.
-5692044*v**2 - 12*v + 6
What is the second derivative of 44644144*v**3 + 15*v + 3606631 wrt v?
267864864*v
What is the second derivative of 98*u**3 + 168675*u**2 - 374397*u + 56?
588*u + 337350
What is the derivative of 161336*h**2 - 5*h - 7723087 wrt h?
322672*h - 5
What is the first derivative of 139332830*i + 69764978 wrt i?
139332830
What is the first derivative of -20061292*w + 261232164 wrt w?
-20061292
What is the third derivative of 30141535*c**4 + 143698*c**2 + 16*c + 2?
723396840*c
Differentiate -595986322*u*v - 716918737*u wrt v.
-595986322*u
Find the first derivative of 1528*i**2*m + 10364374*i**2 + 87*i*m + m wrt m.
1528*i**2 + 87*i + 1
Find the third derivative of -33847985*a**3*d**3 - 2*a**3*d - 514289*a*d**2 + 36*d**2 wrt d.
-203087910*a**3
Find the second derivative of -328049998*c**5 + 72*c + 153983 wrt c.
-6560999960*c**3
Differentiate 2*b**2*t + 501*b**2 + b*t - 2163*b - 126250134*t wrt b.
4*b*t + 1002*b + t - 2163
What is the second derivative of -2*b**3*p - 10731623*b**3 - 2*b**2*p + 4*b**2 + 14*b*p + b - 22*p + 8549 wrt b?
-12*b*p - 64389738*b - 4*p + 8
Find the third derivative of 58540*j**4 + 5*j**3*l - j**2*l - 4*j*l + j + 555177 wrt j.
1404960*j + 30*l
What is the third derivative of -11907317*h**3 + 5464949*h**2 - h wrt h?
-71443902
Differentiate 3316*n**4 - 20*n**3 - n**2 - 4*n + 3468654 with respect to n.
13264*n**3 - 60*n**2 - 2*n - 4
Differentiate 4212*j**3*t - 2*j**3*x**2 - 42*j**2*t*x**2 - 3*j**2 + j*x + 23*x**2 - 198 with respect to t.
4212*j**3 - 42*j**2*x**2
What is the third derivative of 17917010*b**5 + 143705208*b**2?
1075020600*b**2
Find the second derivative of 164374*y**4 + 8*y**3 + 2*y**2 + y + 49764503.
1972488*y**2 + 48*y + 4
What is the first derivative of 1
|
{
"pile_set_name": "DM Mathematics"
}
|
206
What is 103280 to the power of 1/8, to the nearest integer?
4
What is 1350177 to the power of 1/2, to the nearest integer?
1162
What is 19576996 to the power of 1/10, to the nearest integer?
5
What is 10864098 to the power of 1/9, to the nearest integer?
6
What is the square root of 14987040 to the nearest integer?
3871
What is 4096811 to the power of 1/2, to the nearest integer?
2024
What is 6804612 to the power of 1/4, to the nearest integer?
51
What is the third root of 26759671 to the nearest integer?
299
What is the cube root of 1713377 to the nearest integer?
120
What is 2013609 to the power of 1/8, to the nearest integer?
6
What is 217423 to the power of 1/3, to the nearest integer?
60
What is the cube root of 2016703 to the nearest integer?
126
What is the square root of 1670781 to the nearest integer?
1293
What is the third root of 6778230 to the nearest integer?
189
What is 9963248 to the power of 1/3, to the nearest integer?
215
What is 260046 to the power of 1/2, to the nearest integer?
510
What is 785042 to the power of 1/7, to the nearest integer?
7
What is the cube root of 31427771 to the nearest integer?
316
What is 2053160 to the power of 1/2, to the nearest integer?
1433
What is the third root of 238526 to the nearest integer?
62
What is 4655073 to the power of 1/7, to the nearest integer?
9
What is the ninth root of 173058 to the nearest integer?
4
What is 253730 to the power of 1/9, to the nearest integer?
4
What is 4552733 to the power of 1/7, to the nearest integer?
9
What is 2386104 to the power of 1/3, to the nearest integer?
134
What is 182779 to the power of 1/3, to the nearest integer?
57
What is the third root of 15738665 to the nearest integer?
251
What is 49005 to the power of 1/3, to the nearest integer?
37
What is the third root of 17033757 to the nearest integer?
257
What is the third root of 185613 to the nearest integer?
57
What is 3090249 to the power of 1/10, to the nearest integer?
4
What is 440276 to the power of 1/7, to the nearest integer?
6
What is the fifth root of 5855 to the nearest integer?
6
What is the square root of 5278193 to the nearest integer?
2297
What is the fifth root of 17796124 to the nearest integer?
28
What is the eighth root of 8403220 to the nearest integer?
7
What is the cube root of 2279127 to the nearest integer?
132
What is 16689 to the power of 1/2, to the nearest integer?
129
What is the square root of 97457 to the nearest integer?
312
What is 498193 to the power of 1/8, to the nearest integer?
5
What is the cube root of 4089739 to the nearest integer?
160
What is the square root of 6809604 to the nearest integer?
2610
What is the square root of 1222163 to the nearest integer?
1106
What is the cube root of 148176 to the nearest integer?
53
What is 107791 to the power of 1/4, to the nearest integer?
18
What is the square root of 1878169 to the nearest integer?
1370
What is the ninth root of 370516 to the nearest integer?
4
What is the seventh root of 818816 to the nearest integer?
7
What is the square root of 15747499 to the nearest integer?
3968
What is 1715935 to the power of 1/7, to the nearest integer?
8
What is 317887 to the power of 1/2, to the nearest integer?
564
What is 1387967 to the power of 1/6, to the nearest integer?
11
What is the eighth root of 221249 to the nearest integer?
5
What is 62323 to the power of 1/2, to the nearest integer?
250
What is the sixth root of 258123 to the nearest integer?
8
What is 400399 to the power of 1/2, to the nearest integer?
633
What is 2410167 to the power of 1/2, to the nearest integer?
1552
What is the square root of 4313342 to the nearest integer?
2077
What is the tenth root of 137115 to the nearest integer?
3
What is 95271 to the power of 1/10, to the nearest integer?
3
What is the cube root of 128816 to the nearest integer?
51
What is 980884 to the power of 1/2, to the nearest integer?
990
What is the third root of 25834 to the nearest integer?
30
What is 3382513 to the power of 1/2, to the nearest integer?
1839
What is the fourth root of 3039949 to the nearest integer?
42
What is the cube root of 638803 to the nearest integer?
86
What is 2106820 to the power of 1/2, to the nearest integer?
1451
What is the tenth root of 21217303 to the nearest integer?
5
What is 1088491 to the power of 1/2, to the nearest integer?
1043
What is the square root of 461171 to the nearest integer?
679
What is the ninth root of 512714 to the nearest integer?
4
What is 252891 to the power of 1/4, to the nearest integer?
22
What is 32216 to the power of 1/9, to the nearest integer?
3
What is the third root of 2345075 to the nearest integer?
133
What is 100026 to the power of 1/4, to the nearest integer?
18
What is the eighth root of 114055 to the nearest integer?
4
What is the eighth root of 764073 to the nearest integer?
5
What is the ninth root of 1255115 to the nearest integer?
5
What is the fifth root of 151175 to the nearest integer?
11
What is 2865232 to the power of 1/3, to the nearest integer?
142
What is 33047575 to the power of 1/6, to the nearest integer?
18
What is 41823840 to the power of 1/3, to the nearest integer?
347
What is 1540175 to the power of 1/8, to the nearest integer?
6
What is 7995784 to the power of 1/8, to the nearest integer?
7
What is the cube root of 202671 to the nearest integer?
59
What is 2730690 to the power of 1/2, to the nearest integer?
1652
What is the square root of 3008496 to the nearest integer?
1735
What is 184568 to the power of 1/4, to the nearest integer?
21
What is 13252537 to the power of 1/2, to the nearest integer?
3640
What is the third root of 196993 to the nearest integer?
58
What is 5732480 to the power of 1/8, to the nearest integer?
7
What is the square root of 529741 to the nearest integer?
728
What is 354533 to the power of 1/2, to the nearest integer?
595
What is the ninth root of 1970944 to the nearest integer?
5
What is 1980747 to the power of 1/2, to the nearest integer?
1407
What is 412261 to the power of 1/10, to the nearest integer?
4
What is the cube root of 930011 to the nearest integer?
98
What is the fourth root of 487996 to the nearest integer?
26
What is the fourth root of 3845157 to the nearest integer?
44
What is the fourth root of 149937 to the nearest integer?
20
What is the square root of 888063 to the nearest integer?
942
What is the fifth root of 183263 to the nearest integer?
11
What is 8619268 to the power of 1/9, to the nearest integer?
6
What is the third root of 238078 to the nearest integer?
62
What is 318768 to the power of 1/3, to the nearest integer?
68
What is the third root of 8388861 to the nearest integer?
203
What is the fifth root of 649135 to the nearest integer?
15
What is the square root of 2275657 to the nearest integer?
1509
What is 2463 to the power of 1/7, to the nearest integer?
3
What is the seventh root of 2527917 to the nearest integer?
8
What is 344354 to the power of 1/2, to the nearest integer?
587
What is the cube root of 7751044 to the nearest integer?
198
What is the square root of 31199214 to the nearest integer?
5586
What is 5722503 to the power of 1/3, to the nearest integer?
179
What is 255041 to the power of 1/7, to the nearest integer?
6
What is the third root of 6375315 to the nearest integer?
185
What is the square root of 2442040 to the nearest integer?
1563
What is the sixth root of 1101309 to the nearest integer?
10
What is 252907 to the power of 1/6, to the nearest integer?
8
What is 20946473 to the power of 1/10, to the nearest integer?
5
What is 390908 to the power of 1/2, to the nearest integer?
625
What is the third root of 3676905 to the nearest integer?
154
What is 228349 to the power of 1/2, to the nearest integer?
478
What is 6013269 to the power of 1/10, to the nearest integer?
5
What is the square root of 414336 to the nearest integer?
644
What is 472092 to the power of 1/3, to the nearest integer?
78
What is the eighth root of 517729 to the nearest integer?
5
What is the eighth root of 251447 to the nearest integer?
5
What is the eighth root of 16518382 to the nearest integer?
8
What is the third root of 13262030 to the nearest integer?
237
What is the tenth root of 38194719 to the nearest integer?
6
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
a) = -a**3 + 39*a**2 + 4*a - 127. Determine w(39).
29
Let b(o) = 1334*o + 13358. Calculate b(-10).
18
Let i(j) = -8*j**2 - 135*j - 835. Determine i(-7).
-282
Let l(f) = 3*f**3 + 48*f**2 + 8*f + 132. Determine l(-16).
4
Let l(c) = 3*c**3 + 32*c**2 + 89*c + 16. Determine l(-6).
-14
Let o(r) = 15359*r + 322541. Calculate o(-21).
2
Let p(f) = -f**3 - 10*f**2 - 22*f + 24. Calculate p(-7).
31
Let k(t) = -t**3 - 22*t**2 - 78*t + 28. Calculate k(-17).
-91
Let q(v) = 19*v + 226. What is q(-12)?
-2
Let c(v) = -3*v + 64. Determine c(19).
7
Let k(d) = 5*d**3 + 166*d**2 + 328*d + 1. What is k(-2)?
-31
Let a(l) = 42*l**2 + 1140*l + 179. Calculate a(-27).
17
Let y(m) = 6392*m + 38347. Calculate y(-6).
-5
Let p(l) = -800*l - 7232. Determine p(-9).
-32
Let d(z) = -2*z**3 + 42*z**2 - 8*z + 481. Calculate d(21).
313
Let m(w) = -w**2 + 47*w - 552. Give m(26).
-6
Let t(v) = -v**3 + 78*v**2 + 164*v - 323. Determine t(80).
-3
Let r(v) = 5*v**2 + 76*v + 152. Determine r(-2).
20
Let w(d) = -3*d**3 - 2*d**2 + 21*d - 142. What is w(5)?
-462
Let g(d) = -d**3 - 6*d**2 - 119*d - 345. Give g(-3).
-15
Let p(i) = i**2 + 29*i - 534. Calculate p(13).
12
Let r(i) = 15*i**2 + 3*i + 8. What is r(-2)?
62
Let i(m) = m**3 - 240*m**2 + 2955*m - 56. Calculate i(13).
-4
Let b(i) = -i**2 - 50*i - 525. Calculate b(-29).
84
Let t(w) = -w**3 + 6*w**2 + 15*w + 21. What is t(8)?
13
Let d(y) = 16*y - 238. What is d(13)?
-30
Let d(k) = k**3 + 11*k**2 - 32*k + 19. Calculate d(-11).
371
Let w(j) = -j**2 - 34*j - 22. Give w(-16).
266
Let s(n) = 27*n - 33. Calculate s(0).
-33
Let d(q) = -1561*q - 15694. Give d(-10).
-84
Let n(h) = -99*h - 1173. Determine n(-12).
15
Let j(y) = -y**3 - 7*y**2 + 22*y - 33. Give j(-5).
-193
Let d(g) = -g**2 + 117*g - 670. Determine d(6).
-4
Let a(m) = m**3 - 22*m**2 - 22*m - 47. Determine a(23).
-24
Let v(z) = z**2 - 239*z + 687. Give v(3).
-21
Let z(n) = 13*n - 394. What is z(3)?
-355
Let t(c) = -51*c + 597. Calculate t(9).
138
Let m(z) = 2*z**2 + 77*z + 449. What is m(-31)?
-16
Let c(q) = -q**3 + 4*q**2 + 5*q - 105. Give c(8).
-321
Let u(n) = n**2 + 665*n - 3352. Give u(5).
-2
Let s(i) = -2*i**3 - 47*i**2 + 73*i - 40. Determine s(-25).
10
Let n(s) = -s**3 + 19*s**2 - 5*s - 131. Give n(18).
103
Let s(p) = 160*p + 1114. Give s(-7).
-6
Let f(u) = 2*u**3 - 25*u**2 + 17*u - 33. What is f(12)?
27
Let p(n) = 3*n - 42. What is p(-4)?
-54
Let h(s) = s**3 + 24*s**2 - 754*s + 84. Give h(-42).
0
Let v(x) = x**3 - 30*x**2 + 56*x - 11. Determine v(28).
-11
Let m(q) = -244*q + 16630. Give m(68).
38
Let m(o) = -312*o + 8108. Determine m(26).
-4
Let k(o) = 177*o - 34517. What is k(195)?
-2
Let j(o) = -o**3 + 216*o**2 - 1044*o - 2316. Give j(211).
5
Let k(a) = a**3 - 11*a**2 - 5*a - 2. Determine k(12).
82
Let q(x) = x**3 + 2*x**2 + 2*x + 33. Determine q(-8).
-367
Let c(v) = 59*v + 7316. Give c(-125).
-59
Let c(s) = 186*s + 272. Determine c(-3).
-286
Let f(z) = -z**3 + 8*z**2 + 157*z - 1343. Calculate f(9).
-11
Let d(t) = -144*t + 921. What is d(7)?
-87
Let y(q) = -q**3 - 17*q**2 + 8*q + 93. Determine y(-17).
-43
Let w(n) = n**2 - 53*n + 256. Determine w(5).
16
Let r(i) = i**3 + 4*i**2 - 17*i + 129. Give r(-8).
9
Let q(x) = -42*x + 2946. Calculate q(70).
6
Let y(l) = 5*l**2 + 58*l + 55. Calculate y(-11).
22
Let n(f) = f**2 + 3712*f + 11129. Give n(-3).
2
Let v(x) = x**2 + 10*x + 20. What is v(-5)?
-5
Let q(t) = -t**3 + 35*t**2 + 28*t - 986. Calculate q(35).
-6
Let y(i) = -382*i - 20622. Determine y(-54).
6
Let u(k) = -2*k**3 + 56*k**2 - 330*k + 170. Give u(20).
-30
Let a(r) = 12*r - 224. Calculate a(16).
-32
Let k(t) = 7788*t - 23368. Calculate k(3).
-4
Let q(n) = -34*n + 1. What is q(3)?
-101
Let i(q) = -2*q**2 - 56*q - 139. What is i(-28)?
-139
Let w(c) = -2*c**2 + 8*c + 17. Give w(6).
-7
Let z(k) = -67*k + 2323. Give z(35).
-22
Let f(t) = -t**3 + 8*t**2 + 10*t - 65. Determine f(8).
15
Let u(w) = 6*w**2 - 49*w + 347. Determine u(7).
298
Let x(g) = -g**3 + 38*g**2 + 73*g + 292. Give x(40).
12
Let y(v) = -2*v + 174. Determine y(84).
6
Let t(i) = i**3 + 22*i**2 - 265*i + 215. What is t(8)?
15
Let b(z) = -z**3 - 26*z**2 + 28*z + 47. Determine b(-27).
20
Let d(o) = o**3 + 9*o**2 + 36*o + 320. Give d(-9).
-4
Let u(l) = l**3 + 6*l**2 + 1333*l + 4000. Calculate u(-3).
28
Let n(u) = 2*u**3 + 2*u**2 - 3*u + 17. Determine n(-5).
-168
Let b(g) = -25*g**3 + 363*g**2 - 184*g + 31. Calculate b(14).
3
Let c(q) = 5*q**2 + q - 72. Calculate c(4).
12
Let p(i) = -i**2 + 18*i + 609. What is p(35)?
14
Let j(k) = 268*k + 805. Give j(-3).
1
Let j(b) = 50*b**2 + 86*b + 5. What is j(-2)?
33
Let i(a) = a**3 - 51*a**2 + a - 9. What is i(51)?
42
Let u(y) = -13*y**2 - 118*y - 232. Give u(-6).
8
Let w(t) = t**3 - 19*t**2 + 70*t + 153. Calculate w(12).
-15
Let g(y) = -6*y**3 + 67*y**2 + 49*y - 11. Determine g(12).
-143
Let u(d) = 2256*d - 24811. Calculate u(11).
5
Let q(c) = 517*c - 26367. Determine q(51).
0
Let u(f) = f**2 - 24*f + 126. What is u(6)?
18
Let y(p) = -6*p - 176. Give y(-28).
-8
Let t(b) = -11*b**2 - 6*b - 5. Calculate t(-2).
-37
Let t(c) = 5*c**2 - 67*c - 112. Determine t(15).
8
Let s(f) = -1366*f + 49179. Determine s(36).
3
Let j(s) = -s**2 - 103*s - 2523. What is j(-63)?
-3
Let q(p) = -p**3 + 3*p**2 + 10*p + 32. Calculate q(6).
-16
Let v(u) = -13*u - 12. Determine v(-5).
53
Let q(w) = -342*w - 2045. What is q(-6)?
7
Let a(d) = 2*d**3 + 152*d**2 + 151*d + 84. Determine a(-75).
9
Let v(j) = -j**2 + 9*j - 3. Calculate v(11).
-25
Let g(s) = 37*s**2 + 1112*s + 54. Give g(-30).
-6
Let z(m) = 1324*m - 23820. Determine z(18).
12
Let m(t) = -2337*t + 44428. What is m(19)?
25
Let v(q) = q**2 + 2212*q - 22194. What is v(10)?
26
Let b(k) = -35*k**2 - 3*k - 163. Give b(0).
-163
Let y(v) = -v**3 - 54*v**2 - 158*v - 261. Give y(-51).
-6
Let d(y) = -128*y - 2295. Give d(-18).
9
Let p(a) = 3*a**2 + 89*a - 36. Calculate p(-30).
-6
Let n(b) = -b**2 + 146*b - 3856. Calculate n(114).
-208
Let d(k) = k**2 - 34*k + 301. Give d(14).
21
Let k(c) = -c**2 + 15*c - 23. What is k(15)?
-23
Let a(f) = 70*f - 64. Calculate a(-4).
-344
Let b(u) = -31*u**2 - 20*u + 36. Determine b(4).
-540
Let d(k) = 2*k**2 + 22*k - 148. What is d(6)?
56
Let w(q) = -q**3 + 18*q**2 + 157*q - 413. Calculate w(-8).
-5
Let c(a) = a**3 + 44*a**2 - 36*a + 89. What is c(-45)?
-316
Let u(n) = 3*n**3 - 74*n**2 + 438*n - 11. Give u(15).
34
Let z(y) = -57*y - 4702. Determine z(-82).
-28
Let m(q) = 2*q**3 - 6*q**2 - 7*q + 18. Determine m(5).
83
Let m(y) = 15*y + 1088. Give m(-34).
578
Let k(x) = -3*x**2 + 65*x - 300. What is k(7)?
8
Let v(t) = t**3 - 81*t**2 - 1117*t + 71. What is v(93)?
-22
Let x(o) = o**3 + 45*o**2 - 47*o - 80. Give x(-46).
-34
Let z(q) = -121*q + 28. Give z(1).
-93
Let q(l) = -l**3 + 6*l**2 + 49*l - 1. Give q(-5).
29
Let a(k) = 71*k**2 + 8*k - 7. Give a(1).
72
Let p(s) = 2*s**3 + 3*s**2 + 132*s + 408. Give p(-3).
-15
Let h(c) = 46*c - 76. What is h(8)?
292
Let z(x) = 96*x + 265. What is z(-4)?
-119
Let w(m) = -2*m**2 + 542*m - 9112. Give w(253).
-4
Let p(f) = -8*f**2 + 545*f + 39. Determine p(68).
107
Let s(y) = y**3 - 31*y**2 + 59*y + 87. Give s(29).
116
Let k(o) = 33*o**2 - 709*o + 343. What is k(21)?
7
Let g(w) = -8*w**2 - 4*w + 92. Determine g(0).
92
Let g(n) = 2*n**3 - 28*n**2 + 12*n - 213. What is g(14)?
-45
Let x(l) = -l**3 - 11*l**2 + 11*l - 4. Determine x(-12).
8
Let y(b) = -253*b - 519. Give y(-2).
-13
Let v(u) = 2*u**3 + 9*u**2 - 23*u - 64. Calculate v(-2).
2
Let y(c) = 5*c**3 + 33*c**2 - 17*c - 37. What is y(-7)?
-16
Let j(v) = v**2 + 39*v - 833. Calculate j(15).
-23
Let d(n) = -600*n - 33597. Give d(-56).
3
Let w(l) = 6*l**3 + 48*l**2 - 5*l - 16. Give w(-8).
24
Let s(p) = -12*p + 104. Determine s(12).
-40
Let q(t) = -2*t + 7. Calculate q(1).
5
Let h(c) = 12*c**2 - 13*c + 16. Calculate h(1).
15
Let o(a) = -a**2 + 69*a + 924. Calculate o(-11).
44
Let o(m) = m**3 + 46*m**2 + 68*m - 2597. What is o(-43)?
26
Let k(i) = -i**3 + 44*i**2 - 126*i + 164. Determine k(41).
41
Let z(a) = a**2 + 1192*a + 11827. Give z(-10).
7
Let p(z) = -6*z**2 - 641*z + 3363. Calculate p(5).
8
Let p(m) = 2*m**3 + 37*m**2 - 39*m - 366. Determine p(-19).
14
Let p(x) = -x**2 + 289. What is p(-17)?
0
Let a(i) = -4*i**2 - 102*i + 156. Calculate a(-27).
-6
Let s(q) = 2*q**3 + 62*q**2 + 4*q + 102. Calculate s(-31).
-22
Let m(u) = -u**2 - 52*u - 888. Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
d(175).
-6
Let n(v) = -v**2 - 2029*v + 5. Calculate n(0).
5
Let f(m) = 5287*m + 956916. Determine f(-181).
-31
Let l(z) = 17*z**3 - 1617*z**2 + 231*z - 4411. What is l(95)?
-516
Let i(v) = 532*v + 22275. Calculate i(-42).
-69
Let s(g) = -333*g + 785. Determine s(-2).
1451
Let g(k) = -k**3 + 50*k**2 + 8477*k + 92806. Give g(-12).
10
Let u(h) = 249*h**2 - 4986*h - 313. Give u(20).
-433
Let l(k) = -8*k**3 - 21*k**2 - 366*k - 2162. Calculate l(-6).
1006
Let j(n) = 3*n**2 - 325*n + 6479. What is j(82)?
1
Let f(r) = -r**2 - 2723*r + 169791. What is f(61)?
-33
Let w(k) = -2*k + 119. Calculate w(10).
99
Let z(k) = -k**2 - 143*k - 3136. Calculate z(0).
-3136
Let l(u) = -257*u - 121. Determine l(-1).
136
Let q(o) = 6*o**2 - 5201*o - 31233. Calculate q(-6).
189
Let a(l) = 5*l**2 - 10603*l - 10601. Calculate a(-1).
7
Let o(a) = a**3 + 21*a**2 - 160*a + 50. Determine o(-27).
-4
Let d(p) = 478*p - 8377. Calculate d(18).
227
Let u(b) = 5*b**2 - 1405*b - 14584. Calculate u(291).
-34
Let y(z) = -574631*z + 4022414. Give y(7).
-3
Let p(v) = 3*v**2 - 202*v - 717. What is p(72)?
291
Let o(g) = -5*g**3 + 1506*g**2 - 17612*g - 4904. What is o(289)?
9
Let m(p) = p**3 - 438*p**2 + 124*p + 136770. What is m(437)?
-11
Let l(b) = 527*b**3 + 17919*b**2 + 14*b - 680. Determine l(-34).
0
Let h(a) = 96*a**2 - 1375*a + 2659. Determine h(12).
-17
Let k(g) = -503241*g - 3522689. Give k(-7).
-2
Let s(x) = -13*x**2 - 1531*x + 3020. What is s(2)?
-94
Let v(p) = p**3 - 103*p**2 + 2030*p + 400. Determine v(27).
-194
Let q(f) = 580*f - 3611. Give q(6).
-131
Let j(k) = -k**3 + 582*k**2 - 43504*k + 15815. What is j(494)?
7
Let f(o) = -o**3 + 63*o**2 - 999*o + 1476. What is f(24)?
-36
Let z(b) = 14*b**2 - 1086*b + 216. What is z(77)?
-400
Let v(t) = -t**2 - 212*t + 94361. Calculate v(-431).
-28
Let v(w) = 2*w**2 - 18*w + 16. Give v(5).
-24
Let y(z) = 12254*z + 174. Calculate y(0).
174
Let i(m) = 888*m + 91486. What is i(-105)?
-1754
Let c(j) = 3*j**3 - 36*j**2 - 154*j + 24. Determine c(-5).
-481
Let f(r) = -2*r**2 + 4220*r + 63616. What is f(-15)?
-134
Let j(k) = 3257705*k - 6515425. Determine j(2).
-15
Let q(w) = -16*w**3 - 2638*w**2 + 228*w - 16835. Give q(-165).
-5
Let l(i) = 11*i**3 - 67*i**2 - 5*i + 4. Give l(6).
-62
Let n(q) = 4*q**3 - 135*q**2 - 74*q + 348. Give n(34).
-1012
Let v(s) = 20*s**3 + s**2 - 1759*s - 1760. Give v(-1).
-20
Let m(k) = 166*k - 4472. Determine m(30).
508
Let s(h) = 14*h**3 - 2452*h**2 + 332*h + 264. What is s(175)?
-2886
Let x(t) = 22*t**2 - 28*t + 87. Give x(4).
327
Let s(f) = -f**3 + 148*f**2 + 1409*f - 53. Calculate s(-9).
-17
Let a(w) = -29*w**2 + 2028*w + 160. Determine a(70).
20
Let d(t) = t**3 + 30*t**2 + 549*t + 9695. Calculate d(-24).
-25
Let b(w) = 2*w**3 - 603*w**2 + 942*w - 12461. Calculate b(300).
139
Let t(o) = -o**3 - 35*o**2 + 322*o + 14170. Give t(-30).
10
Let v(i) = -i**2 + 785*i - 7665. What is v(10)?
85
Let u(z) = -2*z**2 - 1942*z - 76240. Give u(-41).
20
Let l(a) = 2788*a**3 - 17*a**2 - 17*a - 5. What is l(-1)?
-2793
Let f(m) = m**3 + 104*m**2 - 24*m - 2494. Calculate f(-104).
2
Let p(z) = -6912*z - 131332. Calculate p(-19).
-4
Let t(w) = -2*w**3 - 689*w**2 + 4957*w + 1118029. What is t(-347)?
-5
Let s(n) = 3*n**2 + 10*n + 154. Give s(19).
1427
Let y(w) = -440*w**2 - 2343*w - 145. Give y(-5).
570
Let o(m) = 6*m**3 - 297*m**2 + 148*m - 106. Determine o(49).
-57
Let u(s) = 430*s**2 - 1143*s - 2282. Give u(-2).
1724
Let f(m) = m**2 + 1462*m + 30346. Give f(-21).
85
Let v(t) = 10*t**2 + 3197*t - 859. Calculate v(-320).
101
Let c(h) = -750*h - 27363. What is c(-35)?
-1113
Let i(n) = -15*n**3 - 423*n**2 + 245*n + 9240. Give i(-28).
28
Let f(u) = -3*u**3 + 420*u**2 + 479*u - 7888. Determine f(141).
8
Let d(r) = -9*r**2 + 103*r + 176. What is d(0)?
176
Let i(o) = -2333*o + 88664. Give i(38).
10
Let u(v) = 4*v**2 + 8365*v + 116666. Give u(-14).
340
Let p(s) = 2*s**2 - 69*s - 1085. Calculate p(-12).
31
Let h(z) = -2*z**3 + 25*z**2 - 19*z - 38. Calculate h(9).
358
Let i(f) = 35*f - 202. Give i(-1).
-237
Let l(r) = r**3 + 25*r**2 - 146*r - 899. Calculate l(-27).
1585
Let i(j) = -14776*j + 1211634. Determine i(82).
2
Let y(p) = -141*p**3 + 4*p**2 + 854*p - 855. Determine y(1).
-138
Let r(z) = -7476*z + 67280. Calculate r(9).
-4
Let w(j) = -36*j**2 + 1160*j + 1109. Calculate w(33).
185
Let b(t) = 98833*t + 1087376. Calculate b(-11).
213
Let f(k) = -k**2 - 4938*k - 24682. What is f(-5)?
-17
Let i(c) = 296*c + 36319. Determine i(-123).
-89
Let j(c) = 171*c + 1691. Determine j(0).
1691
Let v(z) = 817103*z + 5719712. Calculate v(-7).
-9
Let a(t) = -820*t + 2695. Determine a(3).
235
Let m(b) = -337*b**3 - 21*b**2 + 46*b - 6. Give m(2).
-2694
Let p(i) = 40*i**3 + 4*i**2 + 54*i + 78. What is p(-2)?
-334
Let m(q) = -1638*q**2 - 167082*q - 615. What is m(-102)?
-3
Let c(f) = f**3 - 17*f**2 + 69*f - 434. Calculate c(18).
1132
Let u(b) = -21*b**3 + 5941*b**2 + 6527*b + 1420. Give u(284).
0
Let f(c) = -22*c**2 + 86*c + 467. Determine f(0).
467
Let s(l) = 4*l**3 - 357*l**2 + 432*l + 706. Determine s(88).
2
Let f(j) = -2*j**3 + 10*j**2 - 18*j - 36. Calculate f(3).
-54
Let r(p) = 1842*p**2 + 105039*p + 2577. Determine r(-57).
12
Let n(w) = 464*w + 34741. Give n(-75).
-59
Let u(g) = g**3 + 22*g**2 - 19*g - 137. Give u(-19).
1307
Let q(v) = -22*v**2 + 4147*v - 6136. What is q(187)?
35
Let p(x) = 2193*x - 3974. Give p(2).
412
Let f(x) = -x**3 - 93*x**2 - 561*x + 3494. What is f(-86)?
-32
Let j(c) = 2*c**3 - 39*c**2 + 258*c - 4498. Determine j(19).
43
Let z(l) = -19*l**2 - 110*l + 475. What is z(4)?
-269
Let l(z) = -z**3 - 17*z**2 + 597*z + 645. Determine l(-34).
-1
Let s(c) = 2*c**2 + 74518*c + 17106924. Calculate s(-231).
-12
Let g(h) = -64479*h + 34. Give g(0).
34
Let g(z) = 562*z**2 - 183214*z + 646. What is g(326)?
-6
Let g(r) = -2676*r + 7919. Determine g(3).
-109
Let l(f) = -f**3 + 192*f**2 + 59*f - 11270. Give l(192).
58
Let y(a) = -67*a**3 - 25*a**2 - 15*a + 14. Give y(-3).
1643
Let k(q) = 11*q**2 - 5039*q + 114595. Determine k(24).
-5
Let s(y) = 1449*y**3 - 24634*y**2 + 15*y + 23. Give s(17).
-11
Let f(o) = -3*o**3 + 484*o**2 + 7940*o + 75. What is f(-15)?
0
Let f(x) = -6748*x + 47591. Determine f(7).
355
Let x(u) = -73*u**2 - 55*u + 49. Determine x(6).
-2909
Let k(a) = 4*a**2 + 12*a - 12629. Give k(-57).
-317
Let u(m) = 4*m**2 + 1065*m - 15186. Determine u(14).
508
Let j(t) = 376*t + 41682. Give j(-111).
-54
Let w(d) = -3*d**2 - 138*d - 1582. Calculate w(-21).
-7
Let b(h) = 8*h**2 - 2193*h - 1709. Give b(275).
216
Let f(w) = 8*w**3 - 36*w**2 - 379*w + 1824. Determine f(5).
29
Let p(f) = -3*f**3 + 20*f**2 + 14*f + 29. Calculate p(9).
-412
Let i(r) = -586*r - 114830. What is i(-196)?
26
Let o(k) = 519333*k - 25447311. Calculate o(49).
6
Let z(f) = -29513*f - 5755046. Determine z(-195).
-11
Let i(k) = 185897*k + 929474. Calculate i(-5).
-11
Let v(n) = n**3 + 159*n**2 + 795*n + 3951. Determine v(-154).
101
Let s(j) = -66*j - 961. Determine s(-23).
557
Let q(l) = l**3 - 30*l**2 - 197*l + 6599. What is q(29)?
45
Let x(h) = -11*h**2 - 5995*h - 47253. Give x(-537).
3
Let x(o) = -165*o**2 - 19963*o + 228. What is x(-121)?
-14
Let t(x) = 3*x**3 - 85*x**2 + 25*x. Give t(28).
-84
Let b(d) = d**2 + 360*d - 73853. Give b(146).
23
Let d(i) = -7*i**3 - 370*i**2 - 664*i - 83. Determine d(-51).
-32
Let v(l) = 2*l**2 - 11748*l - 3510622. Determine v(-285).
8
Let k(o) = -272*o - 26605. Determine k(-98).
51
Let q(k) = -k**3 + 12*k**2 + 254*k + 130. What is q(-13)?
1053
Let t(b) = -73*b**2 + 10953*b - 412. Calculate t(150).
38
Let v(u) = 27*u**2 - 2545*u - 1721. Determine v(95).
179
Let w(a) = 16*a**2 - 1243*a - 9993. Calculate w(85).
-48
Let l(x) = x**3 - 849*x**2 + 9220*x - 1672. Calculate l(838).
4
Let z(h) = -338172*h + 1352684. Calculate z(4).
-4
Let f(p) = -13766*p + 6442421. Give f(468).
-67
Let p(m) = 42428*m - 1103277. Calculate p(26).
-149
Let q(x) = x**3 - 23*x**2 - 127*x + 483. What is q(27)?
-30
Let k(r) = -138*r + 331. Give k(12).
-1325
Let j(t) = 68*t**2 + 1640*t - 177. Calculate j(-25).
1323
Let b(c) = -50364*c + 2316742. Calculate b(46).
-2
Let g(w) = 5*w - 875. Calculate g(32).
-715
Let f(u) = 436*u + 229772. Calculate f(-527).
0
Let y(w) = 5461*w - 699182. Calculate y(128).
-174
Let n(r) = 218034*r + 1308201. Calculate n(-6).
-3
Let z(a) = -24*a**3 - 608
|
{
"pile_set_name": "DM Mathematics"
}
|
common denominator of -6 and l.
11
Suppose 9*q = 4*q + 5*w + 40, -2*w - 25 = -3*q. Let i = -30 - -43. Let n = i - 7. What is the lowest common multiple of n and q?
18
Let u = -2 - -1. Find the common denominator of (-52)/(-20) + -2 - -2 and 429/18 + 1 + u.
30
Let p = 4/157 - 1904/785. What is the common denominator of p and -93/10?
10
Let s(p) = -1 + 0*p - 2 + 3*p. Let r = 6 - -10. What is the lowest common multiple of s(7) and r?
144
What is the common denominator of -55/21 and 2 + (-1)/(-4)*-31?
84
Suppose 2*x - 26 = -5*s - 2*x, x = -4*s + 12. Suppose 9*t - 4*t - 50 = 0. What is the lowest common multiple of s and t?
10
Suppose 2*k = -2*k - 72. Calculate the common denominator of (278/(-9))/(8/3) and (-49)/k - -1 - 0.
36
Let m = -437219/6 - -72403. Suppose 0 = -4*b - 5*i - 1859, 5*b - 4*i + 526 + 1849 = 0. Let o = m - b. Find the common denominator of -17/14 and o.
42
Let m = -111761/10 + 11185. Calculate the common denominator of m and 48/7.
70
What is the smallest common multiple of (-120)/16 - -8 - (-29)/2 and 11?
165
Let a = 29719/1266 - 65/211. What is the common denominator of -63/16 and a?
48
Find the common denominator of 14/9 and (-10)/48 + (-5)/(-15).
72
Let h(v) = -2*v + 8. Let g be h(0). Let o = 22 - g. Calculate the least common multiple of 14 and o.
14
Let k = 37989385197/3056142502 - -1/41299223. Let q = -230/37 + k. Find the common denominator of (22/(-8))/(1/(-14)) and q.
14
Let y = -123/43 - -1349/1118. What is the common denominator of 27/22 and y?
286
Let u = -485 + 253. Calculate the least common multiple of u/(-28) - 10/35 and 2.
8
Calculate the common denominator of -28/3 and 1 + 685/(-198) + (-2)/9.
66
Suppose -4*t - 56 = -3*u, 2*u - 5*t + t - 44 = 0. Let z(c) = 23*c - 1. What is the least common multiple of u and z(1)?
132
Let f(b) be the third derivative of -b**4/8 - 5*b**3/3 - 2*b**2. Calculate the lowest common multiple of f(-4) and 12.
12
Let a be ((-7737)/(-4))/(14264/6). Let k = a + -2/1783. Calculate the common denominator of 77/12 and k.
48
What is the common denominator of 249/9*(-18)/(-60) and -17/10?
10
Let z = 23 + -13. Suppose k = -4*k + z. Let o(p) = p**2 - 4*p - 7. What is the least common multiple of k and o(-3)?
14
Let q = -103428698509/19182042 + -2/871911. Let b = q + 5389. Find the common denominator of b and -77/10.
110
Let x(c) = 2*c**2 - 2*c - 2. Let k be x(2). Let d = -15 + 35. Suppose -3*r + d = k. Calculate the least common multiple of 4 and r.
12
Find the common denominator of 7/10 and ((-131)/12)/((-1)/(-2)).
30
Suppose 5 = -t + 3*o - o, 0 = 5*t - 3*o + 18. Let z be 2 + -2 - (t - -3). Suppose z*s = -s + 1. Calculate the smallest common multiple of s and 2.
2
Let i = 8/1079 + 17783/75530. What is the common denominator of i and 25/4?
140
Let h = 12 - 6. Let a be 1 - h/(1 + 2). Find the common denominator of -151/6 and 2 - 34/36 - a.
18
Suppose -3*n = -4*n + 12. What is the lowest common multiple of n and 4?
12
Let r(a) = 3*a**2 - 2*a - 2. What is the lowest common multiple of r(2) and 9?
18
Let u(y) = -y**3 - 3*y**2 + y - 3. Let a be u(-5). Suppose 2*q + 0*q - 2*n - a = 0, -3*q - 4*n + 70 = 0. Calculate the lowest common multiple of q and 18.
198
Let c = -16 + 23. Let u(w) = -9*w + 91. Calculate the smallest common multiple of c and u(9).
70
Let x = -71 - -36. Let f be 3 + -5 + (-20935)/(-9). Let v = f - 2328. Find the common denominator of v and x.
9
Calculate the common denominator of ((-68)/16 + 3)*445/50 and 31/9.
72
Let k(x) = 5*x - 6. Let i be k(-7). Let r = i - -61. Calculate the smallest common multiple of 2 and r.
20
Let u be (-4)/(-6) + (-1048)/1683. Let r = -591139/67320 - u. Let l = -109/40 - r. Calculate the common denominator of -9 and l.
10
Let s(i) = -i**3 + 6*i**2 - 4*i + 2. Let q be s(5). Calculate the least common multiple of (-290)/(-35) - 2/q and 8.
8
Let t = 9 + 12. Let x = 37 - t. Calculate the least common multiple of 16 and x.
16
What is the common denominator of -117/10 and 3/9*(-216)/(-20)?
10
Let z(v) = v**2 + 9*v - 1. Let s be z(-8). Suppose k = -2*m + 3, 0 = -k + 3*k - 3*m - 6. What is the lowest common multiple of (42/s)/((-6)/9) and k?
21
Let g be 1/(1/(-1 + -34)). What is the common denominator of (-2)/(-40)*194 + 1 and 10/g - 675/112?
80
Let w = 1 + 2. Suppose 4*u + 10 = w*t, -t + 0*u + 15 = u. What is the lowest common multiple of 12 and t?
60
Let m = -2/909 - -24547/1818. Let s = -2082 + 6457/3. Let h = -72 + s. Calculate the common denominator of m and h.
6
Let p be 2/3 + (-1)/(-3). Suppose -u + 0*u + p = 0, -4*u + 32 = 4*t. Calculate the least common multiple of 4 and t.
28
Let u = -4595/42 - -215/2. What is the common denominator of u and 143/12?
84
Find the common denominator of 298/60 + (-8)/(-24) and (-5)/(35/(-57)) + -3.
70
Let t = -7 + 13. Let y = t + -5. What is the lowest common multiple of y and 5?
5
Let h(i) = -i**2 - 10*i + 30. What is the smallest common multiple of 18 and h(-12)?
18
Let o = 10 + -2. What is the least common multiple of o and 4?
8
Suppose -k = 2*f - 13 + 1, -8 = -3*k + f. Calculate the lowest common multiple of 10 and k.
20
Let q(t) = -2*t - t + t. Calculate the least common multiple of q(-2) and (-13)/(-11) + 14/(-77).
4
Suppose -5*m + 587 = 3*g, 0 = -3*g + 5*m + 479 + 98. Let z = -20045 - -320619/16. Calculate the common denominator of g/(-20) + 1/(-1) and z.
80
Let h(b) = b**3 - 5*b**2 + 6*b - 5. Let z be h(4). Suppose t - z*t + 8 = 2*v, 0 = v + 3. What is the lowest common multiple of t and 8?
56
Let w = -2127/2 - -1092. Let s(j) = -2239*j + 2. Let u be s(-2). Let g = u + -80693/18. Find the common denominator of w and g.
18
Let s be -1 - 436/(-510) - 0. Let x = s + 8977/1530. Calculate the common denominator of 17/16 and x.
144
Let o(g) = -2*g**2 - 12*g - 8. What is the least common multiple of o(-5) and 16?
16
Suppose 0 = -5*p + 9*p - 8. What is the least common multiple of 10 and (17/p)/(3/12)?
170
Let c = 36613/14 + -2617. What is the common denominator of -97/20 and c?
140
Let f = 8331/4 - 2098. Suppose -3*q + q - 376 = 5*d, -3*q - 4*d - 564 = 0. Find the common denominator of f and 2/9 + q/(-126).
28
Let a be (1/(-5))/((-2)/(-2834)). Let s = a + 11061/40. Calculate the common denominator of (5/27)/(5 - 14/3) and s.
72
Let b = 1 + 3. Suppose 14 = -2*l + b*q, 0 = 5*l + 3*q - 4*q + 8. Find the common denominator of -89/4 and ((-26)/22)/((-1)/l).
44
Suppose -3*p - 14 = -4*p. Let a be 2 + (0 + 0 - 3). What is the smallest common multiple of 2/a*(-3 + 0) and p?
42
Let i = -29633/11 + 2696. Let p = -2104 - -8505/4. What is the common denominator of i and p?
44
Suppose -d + 5*k + 31 = 0, -5*d + 8*k = 4*k - 92. Suppose 5*l + 6 = 36. Calculate the lowest common multiple of l and d.
48
Let a = -6190 - -61847/10. Find the common denominator of a and -3/5.
10
Let z = -658 - -5211/8. What is the common denominator of 121/18 and z?
72
Find the common denominator of (8/(96/(-258)))/(-1 + 3) and (-8)/(-28)*(-58)/8.
28
Let n be 3 + 4/(72/38819). Let t = n + -2158. Find the common denominator of 83/4 and t.
36
Suppose 29 = -5*g - 21. What is the smallest common multiple of 12 and 218/10 - g/50?
132
Suppose -4*z + 2*f = 19 + 21, 4*z + 4*f + 28 = 0. Let d = z - -21. Calculate the lowest common multiple of 14 + 4*2/4 and d.
48
Let j be ((-3)/4)/(27/106). Let m = j + 17/6. Calculate the common denominator of ((-4)/44)/(1/(-49)) and m.
99
Let m = 3 - -5. What is the lowest common multiple of 18 and m?
72
Suppose -2*c = -9 + 3. Let s(n) = n**2 + 6*n - 5. Calculate the smallest common multiple of c and s(-7).
6
What is the common denominator of -2 - (92/(-12) - -1) and -47/7?
21
What is the common denominator of 73/12 and (-2)/9 - (-814)/180?
60
Suppose -6*j + 96 = -4*j. Suppose 0 = -i + 3*m - 4, 3*m + m - j = -4*i. What is the smallest common multiple of i and 12?
24
Suppose 2*t + 1 = -2*k + 5*t, 4*t = -2*k - 8. Calculate the common denominator of (k/4)/((-2)/24) and -99/4.
4
Let b(w) = -w**3 - 3*w**2 - 2*w. Let g be b(-2). Suppose g = -3*l + 2*l - 2*k + 2, l - k = 5. What is the least common multiple of 10 and l*2/4*2?
20
Let h = -246/199 - -31697/10348. Find the common denominator of -85/2 and h.
52
Let u be 56/(-20)*(-12190)/32. Suppose 5*y - y + 4267 = 3*z, z - 3204 = 3*y. Let b = y + u. Find the common denominator of b and 47/18.
|
{
"pile_set_name": "DM Mathematics"
}
|
of 487717 to the nearest integer?
79
What is 14730714 to the power of 1/8, to the nearest integer?
8
What is 343688 to the power of 1/3, to the nearest integer?
70
What is the fifth root of 401987 to the nearest integer?
13
What is 753324 to the power of 1/3, to the nearest integer?
91
What is 7636460 to the power of 1/6, to the nearest integer?
14
What is the square root of 30296 to the nearest integer?
174
What is the third root of 494646 to the nearest integer?
79
What is 1732071 to the power of 1/2, to the nearest integer?
1316
What is the tenth root of 2713955 to the nearest integer?
4
What is 341588 to the power of 1/7, to the nearest integer?
6
What is the square root of 410432 to the nearest integer?
641
What is the cube root of 15967151 to the nearest integer?
252
What is the cube root of 3837175 to the nearest integer?
157
What is 1705683 to the power of 1/2, to the nearest integer?
1306
What is 634667 to the power of 1/10, to the nearest integer?
4
What is the square root of 467813 to the nearest integer?
684
What is the third root of 189507 to the nearest integer?
57
What is 3435076 to the power of 1/3, to the nearest integer?
151
What is 212682 to the power of 1/2, to the nearest integer?
461
What is the tenth root of 597402 to the nearest integer?
4
What is 93869 to the power of 1/6, to the nearest integer?
7
What is the fourth root of 68128 to the nearest integer?
16
What is the seventh root of 1035302 to the nearest integer?
7
What is the square root of 747864 to the nearest integer?
865
What is the square root of 224523 to the nearest integer?
474
What is 18380730 to the power of 1/10, to the nearest integer?
5
What is 2928018 to the power of 1/2, to the nearest integer?
1711
What is the eighth root of 1755001 to the nearest integer?
6
What is the square root of 5647836 to the nearest integer?
2377
What is the third root of 1128810 to the nearest integer?
104
What is 18574223 to the power of 1/2, to the nearest integer?
4310
What is the square root of 2055970 to the nearest integer?
1434
What is the square root of 3397029 to the nearest integer?
1843
What is 263473 to the power of 1/10, to the nearest integer?
3
What is the cube root of 211879 to the nearest integer?
60
What is 126738 to the power of 1/3, to the nearest integer?
50
What is 7358681 to the power of 1/10, to the nearest integer?
5
What is 148454 to the power of 1/2, to the nearest integer?
385
What is the cube root of 77610 to the nearest integer?
43
What is the eighth root of 324449 to the nearest integer?
5
What is 8856898 to the power of 1/2, to the nearest integer?
2976
What is the square root of 1168487 to the nearest integer?
1081
What is the square root of 683899 to the nearest integer?
827
What is the tenth root of 1931734 to the nearest integer?
4
What is 247280 to the power of 1/5, to the nearest integer?
12
What is 7796789 to the power of 1/2, to the nearest integer?
2792
What is 530348 to the power of 1/3, to the nearest integer?
81
What is the square root of 6272621 to the nearest integer?
2505
What is the cube root of 294390 to the nearest integer?
67
What is 5317898 to the power of 1/4, to the nearest integer?
48
What is the eighth root of 29481850 to the nearest integer?
9
What is the square root of 11449761 to the nearest integer?
3384
What is 13459433 to the power of 1/2, to the nearest integer?
3669
What is 609246 to the power of 1/4, to the nearest integer?
28
What is 116602 to the power of 1/2, to the nearest integer?
341
What is the sixth root of 365236 to the nearest integer?
8
What is the third root of 17776432 to the nearest integer?
261
What is 9518659 to the power of 1/2, to the nearest integer?
3085
What is 403780 to the power of 1/2, to the nearest integer?
635
What is the cube root of 1802378 to the nearest integer?
122
What is the fifth root of 219354 to the nearest integer?
12
What is 14643849 to the power of 1/2, to the nearest integer?
3827
What is 242151 to the power of 1/3, to the nearest integer?
62
What is the square root of 307722 to the nearest integer?
555
What is the fourth root of 232823 to the nearest integer?
22
What is 673552 to the power of 1/2, to the nearest integer?
821
What is the cube root of 839543 to the nearest integer?
94
What is 1391239 to the power of 1/2, to the nearest integer?
1180
What is the third root of 6982405 to the nearest integer?
191
What is the square root of 27478 to the nearest integer?
166
What is the seventh root of 3206520 to the nearest integer?
9
What is 1564845 to the power of 1/7, to the nearest integer?
8
What is the sixth root of 948901 to the nearest integer?
10
What is 1175064 to the power of 1/2, to the nearest integer?
1084
What is the cube root of 781153 to the nearest integer?
92
What is the square root of 4951000 to the nearest integer?
2225
What is the cube root of 2996058 to the nearest integer?
144
What is 69447 to the power of 1/2, to the nearest integer?
264
What is 2324891 to the power of 1/2, to the nearest integer?
1525
What is 903235 to the power of 1/5, to the nearest integer?
16
What is 4764592 to the power of 1/3, to the nearest integer?
168
What is 3001234 to the power of 1/2, to the nearest integer?
1732
What is 3296169 to the power of 1/3, to the nearest integer?
149
What is the fifth root of 13815847 to the nearest integer?
27
What is the ninth root of 7354377 to the nearest integer?
6
What is the seventh root of 139601 to the nearest integer?
5
What is the square root of 10662309 to the nearest integer?
3265
What is 222080 to the power of 1/3, to the nearest integer?
61
What is the square root of 8185691 to the nearest integer?
2861
What is the cube root of 6380746 to the nearest integer?
185
What is 505794 to the power of 1/10, to the nearest integer?
4
What is the square root of 7910264 to the nearest integer?
2813
What is the ninth root of 428545 to the nearest integer?
4
What is 1097061 to the power of 1/9, to the nearest integer?
5
What is 60716 to the power of 1/5, to the nearest integer?
9
What is the square root of 487586 to the nearest integer?
698
What is the square root of 1369741 to the nearest integer?
1170
What is the square root of 1186504 to the nearest integer?
1089
What is the square root of 899524 to the nearest integer?
948
What is 2198394 to the power of 1/3, to the nearest integer?
130
What is 11561977 to the power of 1/4, to the nearest integer?
58
What is the third root of 3178888 to the nearest integer?
147
What is 207457 to the power of 1/8, to the nearest integer?
5
What is 198042 to the power of 1/2, to the nearest integer?
445
What is the cube root of 1360765 to the nearest integer?
111
What is 955936 to the power of 1/10, to the nearest integer?
4
What is 5346203 to the power of 1/3, to the nearest integer?
175
What is the square root of 171134 to the nearest integer?
414
What is 47683 to the power of 1/6, to the nearest integer?
6
What is 5988749 to the power of 1/3, to the nearest integer?
182
What is the square root of 13296503 to the nearest integer?
3646
What is the cube root of 11202821 to the nearest integer?
224
What is 2379728 to the power of 1/5, to the nearest integer?
19
What is 13104187 to the power of 1/2, to the nearest integer?
3620
What is 317281 to the power of 1/3, to the nearest integer?
68
What is the third root of 2505866 to the nearest integer?
136
What is 357531 to the power of 1/3, to the nearest integer?
71
What is the square root of 48367 to the nearest integer?
220
What is the cube root of 5977265 to the nearest integer?
181
What is the tenth root of 6374 to the nearest integer?
2
What is the sixth root of 1528077 to the nearest integer?
11
What is the cube root of 5732 to the nearest integer?
18
What is 212351 to the power of 1/10, to the nearest integer?
3
What is 1604988 to the power of 1/2, to the nearest integer?
1267
What is 988533 to the power of 1/9, to the nearest integer?
5
What is 18878986 to the power of 1/7, to the nearest integer?
11
What is the square root of 48673 to the nearest integer?
221
What is 693136 to the power of 1/5, to the nearest integer?
15
What is the ninth root of 483209 to the nearest integer?
4
What is the third root of 15688332 to the nearest integer?
250
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
positive.
r**5
Simplify ((l/((l*l*(l**(2/7)*l)/l)/l)*l**(-5))/((l/(l*l/(l*l**(-2/17)*l)))/(((l/(l/(l/((l**(1/3)*l*l*l)/l))))/l*l)/l)))**(1/27) assuming l is positive.
l**(-3035/9639)
Simplify (a/(a*a**(-6)/a*a))/a**(-1/12)*(a**6)**18 assuming a is positive.
a**(1369/12)
Simplify (j**(1/4)/j*j)**(3/4)*(j*j**(-11)*j)/(j/j**(-1/20)) assuming j is positive.
j**(-789/80)
Simplify ((k**4*(((k*k**(-3/10))/k)/k)/k*k*k*k)**(1/38))**(2/17) assuming k is positive.
k**(47/3230)
Simplify (p*p/(p/((p**27/p*p)/p*p))*p**(-4/7))**39 assuming p is positive.
p**(7488/7)
Simplify (((r*r/r**(-3/14))/r)**(28/3))**(-3/16) assuming r is positive.
r**(-17/8)
Simplify (z/z**(2/25))**(-48)/(z/((z/z**11)/z)*z**(2/5)) assuming z is positive.
z**(-1414/25)
Simplify ((q*q*q/q**(2/9))/q**(-4/9)*q**(-5)*q**6*q)**0 assuming q is positive.
1
Simplify ((b**35/b)/(b/b**(-1/4)))/(((b**(-16)/b)/b)/(b*b**19)) assuming b is positive.
b**(283/4)
Simplify ((v**(-1/13)/v*(v/v**(4/7))/v)**(3/7))**(-38) assuming v is positive.
v**(17100/637)
Simplify (a*a/a**(-12))/(a/(a/a**(2/5))*a)*((((a**3/a)/a)/a)/a)/a**(7/5) assuming a is positive.
a**(51/5)
Simplify ((u**(-3)*(u**(2/5)*u)/u)**(5/2))**50 assuming u is positive.
u**(-325)
Simplify (o*o**3)**(-6/13)/(o**(2/5))**(-40) assuming o is positive.
o**(184/13)
Simplify (w/(w*w*w**(5/3)*w))**41/((w**(-5/4)/w)/(w**(2/25)*w)) assuming w is positive.
w**(-44101/300)
Simplify ((i**(-17)*i*i**(-15))**(4/3))**(-1/94) assuming i is positive.
i**(62/141)
Simplify ((v**(-2/7)/v)/v)**25*v**(-2)*v**(-2/5) assuming v is positive.
v**(-2084/35)
Simplify (q*q*q**(1/14)/q)**20/(q**5/(q**(-3/20)/q*q)) assuming q is positive.
q**(2279/140)
Simplify y**15/y**(5/2)*(y/((y/(y/((y/(y**(-3/10)/y))/y)))/y)*y*y*y)**(-9) assuming y is positive.
y**(-104/5)
Simplify ((a*a*a**(4/5))/a**(-1/8))/(a**(-2/11))**(-1/11) assuming a is positive.
a**(14077/4840)
Simplify (v/(v**9/v))/v**32*(v**(36/5)*v)/(v**(-1/11)*v) assuming v is positive.
v**(-1744/55)
Simplify y**(4/7)*y*y*y/(y**(-1/14)*y)*y*(y**(-2/5))**(-26) assuming y is positive.
y**(983/70)
Simplify (s/((s*s*(s**(2/43)/s)/s*s)/s)*s**(-2/7)*(s/s**5)/(s*s*s*s**12*s*s))**(-36) assuming s is positive.
s**(220320/301)
Simplify ((q*q*q**10)/(q/q**(-10)))/(q**(-4)/q*q/((q*q**2/q)/q)) assuming q is positive.
q**6
Simplify (m*m**(-2/89))/(m*m**31)*((m**(1/19)*m*m)/m*m)**(-42) assuming m is positive.
m**(-198241/1691)
Simplify (g**(1/5))**(-47)/(g**12/(g**(-1/9)*g)) assuming g is positive.
g**(-923/45)
Simplify (t*((t**(1/12)/t)/t)/t*t*t/(t**(-3/14)/t))/(t**(-8/3)/t**(-2)) assuming t is positive.
t**(55/28)
Simplify (t**(-7)/t**(2/3))/(t*t/(t*t*t**(-3/11)*t*t*t)*t)**(-20/7) assuming t is positive.
t**(-2911/231)
Simplify (d/(d/d**(-1/2))*d*d**0/d)/(((d/d**(-2/33)*d)/d)/((d**(2/3)/d)/d)) assuming d is positive.
d**(-191/66)
Simplify ((h*h**(-1/3)*h)/(h*h*h**(1/20)))/((h*h*(h/(h*h/(h*h/(h/h**10*h))))/h*h)/h**7) assuming h is positive.
h**(-263/60)
Simplify l/(l**(-21)/l)*l**(-6)*l**(2/9)/(l*l/l**(-2/51)) assuming l is positive.
l**(2323/153)
Simplify ((n*n*n**(-1/14))/n)/(n/(n/(n/n**(-1/21))))*(n**(-9)*n)**(-50) assuming n is positive.
n**(16795/42)
Simplify (h/(h**(-1/14)/h*h)*h**0)**(-5/6) assuming h is positive.
h**(-25/28)
Simplify (k/(k**(-5)*k)*k**(1/28)/k)/(k/(k**12*k))**(-43) assuming k is positive.
k**(-14335/28)
Simplify (y**6/(y**(-8)/y))/(y**0/y)**(-4/9) assuming y is positive.
y**(131/9)
Simplify j**(-37)*j/j**(2/93)*j*j**(-11/4)*j**1 assuming j is positive.
j**(-13679/372)
Simplify (((l/(l/((l*l/l**(-5))/l)*l*l))/l)/l**(-13))/(l**(-3/2)*l*l**(-13)) assuming l is positive.
l**(59/2)
Simplify (((g**(1/4)/g)/g)**(2/75)*(g**(-5)*g)/(g/(g**(-3/2)/g)))**(5/7) assuming g is positive.
g**(-566/105)
Simplify (n/(n*n**(2/17)*n))**(-6/11)/(n**3)**(-35) assuming n is positive.
n**(19749/187)
Simplify (s*s**(-2/7))**(-3)/((s/(s*s/s**(-3/13)*s))/s*((s/(s**5/s)*s)/s)/s) assuming s is positive.
s**(463/91)
Simplify (c/(c**21/c))/c*c*c*c/c**14*c**(1/2)*c**(-2)/c*c assuming c is positive.
c**(-65/2)
Simplify z**14*z*z**4/z*z*z**21*z/z**(5/11) assuming z is positive.
z**(446/11)
Simplify w**26/(w/w**(-30))*(w/w**(-20/9))/(w*w**33) assuming w is positive.
w**(-322/9)
Simplify ((m*m/(m/(m*m/(m/m**(-27))))*m*m)/m*m**(-6/5)/m)/(m**(-17/2))**(-2) assuming m is positive.
m**(-216/5)
Simplify (f**(-2/49)*f**(2/11))**(2/13) assuming f is positive.
f**(152/7007)
Simplify (k/k**7)**(1/5)/(k**29/(k**(-15)/k)) assuming k is positive.
k**(-231/5)
Simplify (((s/(s/s**(2/13)))/s)/(s*s*s*s**15))/(s/s**(-1/17)*s)**17 assuming s is positive.
s**(-700/13)
Simplify ((h/h**(2/5))/((h/h**(-7))/h)*h**2*h/(((h**(-5)*h)/h)/h))**(1/9) assuming h is positive.
h**(13/45)
Simplify k*k**(-11/2)*k*k*k**(-17)*k**(3/4)/k**(-14) assuming k is positive.
k**(-19/4)
Simplify (q**(3/2))**19/(q*q**2)**(1/32) assuming q is positive.
q**(909/32)
Simplify (y**0/(y/((y*y/y**6)/y))*y*y**(-1)*y**0*y)**31 assuming y is positive.
y**(-155)
Simplify (j**(-2/9)*j**15)/((j**(-6/7)/j)/(j/(j**(-1)/j))) assuming j is positive.
j**(1237/63)
Simplify (l**3)**(-13/3)*l*l*l**4*l*l*l*l**(-1/3) assuming l is positive.
l**(-13/3)
Simplify ((o*o*o**(-17))/(o*o**8*o))/(o**(-1/8))**(-48) assuming o is positive.
o**(-31)
Simplify (s*s/s**10*s)/s*s*s**5*s**(-2/19)*s**(-3) assuming s is positive.
s**(-97/19)
Simplify z**4*(z/z**(-15))/z*(z/z**(7/4))**(1/47) assuming z is positive.
z**(3569/188)
Simplify (k**(-1/6))**(-21)*k*k*k/k**(7/8)*k**18 assuming k is positive.
k**(189/8)
Simplify (b*b**(-4))**18/(b**(-21)*b**(1/22)) assuming b is positive.
b**(-727/22)
Simplify ((r**16/r)/r**10)/(((r*r/r**(-2/37))/r)/r*r*r)**(14/11) assuming r is positive.
r**(971/407)
Simplify ((m/m**(4/11))/m*m**(3/8))**(-2/35) assuming m is positive.
m**(-1/1540)
Simplify (w**19/w**(2/15))/(((w**(2/35)/w)/w)/w**(-14)) assuming w is positive.
w**(143/21)
Simplify (((z**1*z)/z)/z)**(-2/33)*(z**2)**(1/26) assuming z is positive.
z**(1/13)
Simplify c**(-7)/(c*c**(-2)*c)*c**(-7)/c*c*c/c**9*c assuming c is positive.
c**(-21)
Simplify j**4/j*j*j*j/(j**(4/5)/j*j)*(j/(j*j**(-10)))/j**(-9) assuming j is positive.
j**(121/5)
Simplify (((r*r/r**(-2/9)*r)/(r*r**4*r))/(r/(r/r**(1/4))*r**(-3/5)/r))**(-1/18) assuming r is positive.
r**(257/3240)
Simplify (r**(-19)/((r*r**(-4/19))/r))/(r**(-25))**(2/9) assuming r is positive.
r**(-2263/171)
Simplify (o**1)**(7/2)/(o**(-1/2)*o*o**(-10)) assuming o is positive.
o**13
Simplify ((q/(q*q/((q*q**(1/2))/q)*q*q*q))/(q/(q*q**13)))/((q/(q*q*(q*q**6)/q))/(q**(-2/9)/q)) assuming q is positive.
q**(275/18)
Simplify (f*f**7)**(1/23)*(f/(f/f**(1/19)*f))/(f*(f**23*f)/f) assuming f is positive.
f**(-10750/437)
Simplify (h**(-2)/(h*h**(-2/11))*((h*(h**1*h)/h)/h*h)**(-3/49))**(5/6) assuming h is positive.
h**(-7925/3234)
Simplify (v*(v*v**(-7)/v)/v*v*v**6/v)/(v**(3/5))**(-1/73) assuming v is positive.
v**(-362/365)
Simplify (f**(-7)/f)/f**(12/5)*(f/f**5)**(-4/5) assuming f is positive.
f**(-36/5)
Simplify ((t/(t/t**(-5/4)))/t**16)/(t*t**(-1/13)*t**(-7)*t) assuming t is positive.
t**(-633/52)
Simplify (((o*(o*o/o**(4/9))/o)/o)**(1/11))**29 assuming o is positive.
o**(145/99)
Simplify ((d*(d/(d/((d*d*d**(1/3))/d)))/d)/d*d/(d/d**20*d))/(d**13)**21 assuming d is positive.
d**(-761/3)
Simplify (z*z**3)/z**(4/3)*((z*z**1/z)/z)**42 assuming z is positive.
z**(8/3)
Simplify ((n**2/n**(-8))/((n*n**(1/2))/n**(-1)))**(-15) assuming n is positive.
n**(-225/2)
Simplify ((i*i**7*i/(i*i**(-3/8)))/(((i*i/(i/i**(-9))*i*i)/i)/i*i*i**(-12)))**27 assuming i is positive.
i**(5913/8)
Simplify (d**(-2/21)/d)**45/((d**(-1/7)/d)/d**(10/9)) assuming d is positive.
d**(-2963/63)
Simplify ((m/m**(-6))/(m*m**19))**(-12/5) assuming m is positive.
m**(156/5)
Simplify ((g/((g/g**1*g)/g))**(-8/11)*(g**3*g)/g*g**3*g)**(-22) assuming g is positive.
g**(-138)
Simplify ((n**6/n**(1/8))**(-32))**1 assuming n is positive.
n**(-188)
Simplify ((x**(-4/9)/x)/x**(1/3))/((x*x**(-15))/x**(-13/2)) assuming x is positive.
x**(103/18)
Simplify ((z/(((z*z**(-11/3))/z)/z*z)*z**(-2/3))**(7/3))**3 assuming z is positive.
z**28
Simplify d/((d**8/d)/d)*d/d**14*d*d*d**(-12)/d**(-14) assuming d is positive.
d**(-14)
Simplify (((r/(r/(r/r**(-18))))/r)/(r*(r*r*(r/(r/(r*(r*r**(-7)*r)/r*r*r)))/r)/r))**21 assuming r is positive.
r**420
Simplify ((u/(u/(u/u**(-10)*u
|
{
"pile_set_name": "DM Mathematics"
}
|
5*g + 10, -g + 6 = -3*k + 25. Is 7 a factor of k?
True
Is -2*5/(-85) - (-440)/17 a multiple of 2?
True
Let y = 7 + 1133. Does 5 divide y?
True
Let q = -71 - 25. Is (-1)/(q/92 + 1) a multiple of 3?
False
Let h be 6 + 6*6/(-12). Let a(i) = 2*i**2 - i. Let x be a(2). Suppose 4*d = 2*s + 48, x*d = 3*d - h*s + 36. Is d a multiple of 11?
False
Let h be (-51 - 1)*6/8. Let q be ((-312)/10)/(h/130). Let r = q + -55. Does 25 divide r?
False
Let c(f) = 5*f**2 + 15*f - 13. Let g be c(7). Suppose 345 + g = 2*w. Is 18 a factor of w?
False
Suppose w = -2*w + 15. Is 15 a factor of 65 - w - (4 - 3)?
False
Let s(h) = -4 + 1 - h**2 + 6*h + 1. Is 3 a factor of s(5)?
True
Suppose x + 8*x - 297 = 0. Is x even?
False
Let c(k) = -k**2 - 10*k - 1. Let y be c(-7). Suppose 6*u - 3*x - 60 = u, 0 = -4*x + y. Is 15 a factor of u?
True
Let c(j) = j**2 + 3*j - 3. Let u be -3 - -22*3/6. Suppose 3*r = u + 10. Is c(r) a multiple of 15?
False
Let r(q) = q + 8. Let f be r(-4). Suppose -5*n + 0*n = f*a - 210, 2*n = 4*a + 112. Is n a multiple of 10?
False
Does 18 divide 4/16 - 4251/(-52)?
False
Suppose f + 10 = 5*l - 6, -15 = -4*l + 3*f. Suppose -a + 7 = -w, l*a + 0*w - 5 = -w. Suppose 0 = -5*m + a*i + 326, -5*i = -m + 19 + 55. Is m a multiple of 15?
False
Let y be (-10)/(-15) - (-32)/6. Does 17 divide 1 - y/4*-64?
False
Is ((-982)/(-4) - -4)*(-26)/(-13) a multiple of 6?
False
Is (-1)/((-7)/2331*1) a multiple of 21?
False
Let i = -29 - -26. Let w(z) = z**3 + 5*z**2 + 2*z + 5. Does 3 divide w(i)?
False
Let x = 99 - 95. Suppose 4*k = x*l - 360, -3*k = l - 6*l + 440. Is 17 a factor of l?
True
Let k = 163 - 251. Let b = k - -97. Does 2 divide b?
False
Let c(q) = -340*q. Let g(a) = -510*a. Let d(i) = 7*c(i) - 5*g(i). Let s be d(1). Let l = -100 + s. Is l a multiple of 16?
False
Let g(y) = 6*y**2 + 6*y - 2. Suppose -40 = -6*c - 58. Does 34 divide g(c)?
True
Suppose -4162 = -5*f - 2*x, 4 = 2*x + 2*x. Is 64 a factor of f?
True
Suppose 5*a - 12 - 23 = 0. Let t = -3 + a. Suppose -5 = 4*n - 2*k - 65, t*n + 2*k = 52. Does 7 divide n?
True
Let w(c) = -10*c**2 + 0 - 14 - 3*c + 11*c**2. Does 3 divide w(6)?
False
Let n(t) = -7*t + 2 - 9*t - 3 - 2. Is n(-2) a multiple of 14?
False
Let l(w) be the first derivative of -w**2 - 15*w - 3. Let r be l(-9). Suppose 45 = r*f - 36. Is 16 a factor of f?
False
Let n be ((-4)/(-3))/((-2)/(-21)). Suppose 6*z - 6 = 5*z. Let x = n + z. Does 7 divide x?
False
Let n(k) = k + 21. Suppose -4*a - 111 = a - 4*z, z + 34 = -2*a. Let m be n(a). Suppose -155 = -3*v + m*i - 0*i, -4*v + i = -200. Does 9 divide v?
False
Is 19 a factor of (-7 - (0 + -4))*(-532)/6?
True
Let g = 329 - 238. Does 8 divide g?
False
Suppose -2*t + 11 = -a - 8, -3*t + a = -31. Is t even?
True
Suppose -4*g = -w + 43, 4*g - 3 = -w - 0*w. Suppose -8 = -24*d + w*d. Is d even?
True
Let a = -11 + 151. Suppose v - a = -4*v. Is 10 a factor of v?
False
Let z(w) = -w**2 + 7*w + 1. Let y be z(7). Does 4 divide (284/11 - y) + (-12)/(-66)?
False
Let g be 14/(-2)*-2 + 3 + -2. Suppose -3*b + g = 3, 4*y - 2*b - 204 = 0. Is y a multiple of 28?
False
Suppose 160 = 5*t - 800. Let w = t + -105. Is 13 a factor of w?
False
Suppose 2*c = -8 + 8. Is 10 a factor of 4 + -6 + (-147)/(-3) + c?
False
Suppose m + 4*m - 15 = 0. Let n be (2 + -1)/(m/12). Suppose -2*z + d + 71 = 0, n*z + z = 4*d + 176. Does 12 divide z?
True
Let o(a) = 69*a - 492. Is o(9) a multiple of 3?
True
Let b be -9*((-8)/3)/(-8). Is (-168)/4*(b + 4 - 3) a multiple of 14?
True
Suppose -15 - 6 = -h. Let q be (7/h)/((-1)/(-12)). Suppose -4*v = -12, -c + 20 = -0*c - q*v. Is c a multiple of 8?
True
Let u(d) = -134*d + 15. Does 7 divide u(-1)?
False
Suppose -2*i = -8*i - 420. Does 14 divide 1*i/5*(-5 + -1)?
True
Suppose -130 - 48 = 2*x. Suppose -4*k - 3*a = k - 658, 0 = 3*k + a - 398. Let r = x + k. Does 14 divide r?
False
Suppose 0 = -4*q + 8, o - 685 = -3*q + 121. Does 12 divide o?
False
Suppose -4*d + 58 + 110 = 0. Is 5 a factor of d?
False
Suppose 0 = -3*x + 4*x. Suppose 0 = -3*l - 5*p + 64, -5*p + 3*p + 4 = x. Is 18 a factor of l?
True
Let x = -54 + 716. Does 35 divide x?
False
Suppose 8*d = 723 - 267. Is d a multiple of 2?
False
Let t(b) = b**2 + 15*b + 56. Is t(-25) a multiple of 13?
False
Is 24 a factor of 535 - (-3 + 9)/(-3)?
False
Let t(g) = 2*g**2 - 21*g + 3. Let s be t(10). Does 39 divide -3*26*(-1)/s*-14?
True
Let k = 265 + -210. Is k a multiple of 5?
True
Suppose 0 = -4*r - 3*l + l + 32, -8 = -r - 5*l. Suppose -52 = 4*v - r*v. Let i = -7 + v. Is 6 a factor of i?
True
Is (-3 - (-5 + 0))/((-12)/(-1422)) a multiple of 3?
True
Let a(q) = -51 + 65*q + 39 - 67*q. Let u = -15 + 7. Does 4 divide a(u)?
True
Suppose d - 130 = 5*m, -3*d + m + 346 = -3*m. Let x = d + 1. Does 37 divide x?
True
Suppose 17901 + 23348 = 13*u. Is 87 a factor of u?
False
Let b be (-5)/((-15)/(-21))*-833. Does 4 divide 4/30 + b/255?
False
Let g(y) = y**2 - 62*y - 57. Does 13 divide g(68)?
True
Suppose 50 = -4*t - 18. Let o = t + 52. Is o a multiple of 7?
True
Let k be 21/2 + 18/12. Is 5 a factor of (-2)/k - (-1)/(24/580)?
False
Let z(p) = 17*p - 7. Let q(w) = -w + 1. Let g(n) = -3*q(n) - z(n). Let x be g(2). Let v = 39 + x. Is v a multiple of 3?
True
Let u = -10 + 14. Suppose p + 159 = n + u*p, -2*n + p + 346 = 0. Suppose -4*f - n = -5*z, 3*z + 5*f - 109 = f. Does 12 divide z?
False
Suppose -3*h - 702 = -9*r + 4*r, 4*r = 3*h + 564. Does 9 divide r?
False
Suppose 2*n = -5*u + u + 206, -257 = -5*u - 2*n. Suppose -3*k - 2*f - 38 = 0, -4*k + 0*f = 3*f + u. Is 8 a factor of (-4)/((15/k)/5)?
True
Suppose -25*p = -31*p + 1740. Is p a multiple of 5?
True
Suppose 5*y - 40 = 50. Let b = 30 - y. Is ((-13)/2)/((-1)/b) a multiple of 16?
False
Let k = -1807 + 3651. Is 4 a factor of k?
True
Let u(q) = q**2 - 7*q + 7. Let s be u(7). Suppose -s = c - 24. Does 6 divide c?
False
Let r be (8/12)/(10/(-75)). Is 2 - 165/(25/r) a multiple of 16?
False
Suppose 0 = 3*l + 97 - 328. Let m = l + 1. Does 25 divide m?
False
Suppose -3*t - 5*t = -96. Suppose 2*k = l + 51, -4*l - l = -k + t. Is k a multiple of 2?
False
Let t(v) = -v**2 + 9*v + 4. Let q be t(8). Does 6 divide 0*(-4)/q + 18?
True
Suppose -d - 2*d = 4*z - 3, 4*d - 3*z - 29 = 0. Suppose d*b = -15, -b - 34 = -3*c + 2*c. Is c even?
False
Let z = 88 + 72. Is z a multiple of 20?
True
Let g = -9 + 13. Let y(s) = s**3 + 11*s**2 - 42*s + 13. Let n be y(-14). Suppose -n = -r - f + 1, -g*r + 62 = 2*f. Does 8 divide r?
False
Suppose -27*k + 2*b = -28*k + 2407, b = -4. Does 15 divide k?
True
Suppose -4886*u - 5600 = -4891*u. Is u a multiple of 14?
True
Suppose -4*h + 12 = 2*t, 2*t + 3*h = 2*h + 27. Suppose -12 + 4 = -2*l. Suppose l*x - t = 36. Is x a multiple of 4?
False
Let j be (-9)/(-12)*-2*40/(-15). Suppose -j*c + h = -7*c + 820, 3*c - 3*h - 816 = 0. Is c a multiple of 35?
False
Let y be (-9)/27 + 19/3. Suppose 15 = -3*r, 3*r - 107 = -2*n + y*r. Is n a multiple of 35?
False
Does 11 divide (-8)/44 + 4628/44?
False
Let z = 0 + 34. Suppose 5*g - j - z = 0, -2*j + 10 = -g + 4*g. Let f = g + -1. Is f a multiple of 2?
False
Let k = -36 - -24. Let q = k + 22. Is 6 a factor of 102*(-3 - q/(-3))?
False
Let m = -438 + 838. Is 25 a factor of m?
True
Suppose -5*t = 5*a - 680, -4*t + 3*t + a = -144. Is t a multiple of 19?
False
Let a(s) = -145*s + 308. Is a(-6) a multiple of 19?
True
Let n(m) = 4*m + 348*m**2 - 7 - 345*m**2 - 5. Is n(4) a multiple of 12?
False
Suppose d = -4*d + 1065. Suppose 33 = -5*x + d. Does 9 divide x?
True
Let m(a) = a**2 + a. Let v be m(-1). Suppose b + 2 + 1 = v. Is 5*-2*b/6 a multiple of 3?
False
Does 14 divide 3/5 - 742/(-5)?
False
Let w be (-30)/(-210) + 13/7. Suppose -2*r + 4*r = w*m + 42, 0 = -4*m. Does 5 divide r?
False
Suppose 7*z = 11*z + 24. Let u = 0 + 10. Does 2 divide (24/u)/(z/(-15))?
True
Let d = -5 - -8. Suppose 0 = 5*u - 0*u + v + 22, -d*v + 29 = -4*u. Does 10 divide (38/u)/((-4)/10)?
False
Suppose 2*l - 5*l + 4*d = 37, 5*l + 75 = 4*d. Let n = l - -38. Let a = n - 12. Does 7 divide a?
True
Let y(p) = -118*p**3 - 1. Suppose 0 = -n + 5*r - 16, 5 = -3*n + r - 1. Let g be y(n). Suppose -6*f - 2*h = -2*f - 194, 2*f + 5*h - g = 0. Is f a multiple of 17?
False
Is (50/8)/((-2)/(-208)) a multiple of 65?
True
Let t = 1662 + -654. Is t a multiple of 18?
True
Is (-2 + 7)*76/5 a multiple of 5?
False
Suppose 2*i - 5*b - 275 = 0, -2*b = 4*i - 0*
|
{
"pile_set_name": "DM Mathematics"
}
|
-48
Evaluate -1*((-90)/12)/(-5)*280/(-1470).
2/7
Evaluate (-8806)/(-204)*4/(-7) - (-2)/(-42)*7.
-25
What is 360/(-20) + -1 + (-31929)/(-1682)?
-1/58
What is the value of (-21333)/8205*5/455?
-1/35
Calculate (-25)/(-15)*182262/(-4105).
-74
What is (-2340)/(-3300) - (7 + -8 - (-4)/5)?
10/11
Calculate 1232/(-4)*(-466)/2563.
56
Evaluate 3033/22242*(-33220)/30.
-151
What is the value of -8 + (-279)/(-21)*(-21)/(-36)?
-1/4
Evaluate ((-39)/(-832))/((-135)/(-360)).
1/8
What is the value of (6/25)/((8 + 5 - 7)/2)?
2/25
What is ((-2)/8)/((-1)/(-2)) - (-187 - (-3730125)/20010)?
2/23
Calculate 66/(-62)*5985/1890 + (-1)/(4/(-14)).
4/31
Evaluate (-9)/(-11) + -1 + (-12000)/1100*8/(-414).
2/69
((-49)/(-392))/(385/(-80) - (-1 - 4))
2/3
What is the value of (40 - 39 - 24/20)/(27 - 26)?
-1/5
What is the value of 5/(-2) + (-204363)/(-79866)?
1/17
Calculate (-175)/(-9)*3060/(-2550)*(-1 + 7).
-140
What is 10*30/(-3300)*-220?
20
What is ((-15)/(-110))/(13/(-2) + (-200 - -207))?
3/11
Evaluate 1/((-5)/(-20)*(-296)/962).
-13
(-6)/(-15) - -18*48/1935 - 32/40
2/43
What is the value of 163 + -306 + (70 - 38)?
-111
38 + (-9 - ((-43624)/95)/(-41))
89/5
What is the value of 2888064/(-1728)*(-36)/552?
109
What is 64/96 + (-13 - (-9590)/777)?
1/111
10 + (-36)/(-60)*-15 + (318/(-48) - -5)
-5/8
Calculate 4/48*-15 + 1/(-384)*-492.
1/32
(-60)/810 - 7735/189
-41
Calculate 316/18 - (9/4 + -3)*3264/5508.
18
What is (-12 - -2)*((-5616)/(-2520))/(6/14)?
-52
What is -48 - 627/2805*-215?
1/17
Calculate (-2 - ((-476)/49 + 6))/((-75582)/(-2128) + -36).
-32/9
Evaluate ((-1020)/493 + 10*(-6)/(-870))/(-478 - 0).
1/239
What is 1 - (-418)/(-208) - (-12616)/(-1577) - -9?
-1/104
Evaluate (844/633)/(1906/(-270) - (-91)/13).
-45/2
Calculate (-7 - (-2451)/133)*126/45.
32
Evaluate (-4)/(-3)*3 - ((-26838)/(-355) - 73).
7/5
(-7)/2*((-360)/(-756))/(23/(-138))
10
Evaluate 4/(-16)*6/(-9)*20/((-260)/(-39)).
1/2
9 + -19 - -13 - 624/52*(-9)/(-4)
-24
What is (-6)/(-4 - 2) - ((-1121)/(-95) - 11)?
1/5
(-34)/(-85)*-2*305/16 + (-5)/(-20)
-15
What is ((-30)/(-1170))/((-502)/3263)?
-1/6
What is 230/5957*833/595?
2/37
What is ((-2870)/(-560))/((-129)/(-6) - 22)?
-41/4
What is ((-51)/1*((-1131)/(-54) + -21))/(10/12)?
17/5
Calculate 1 + -2 - 1 - (19 + -21)/((-12)/(-630)).
103
What is ((-22)/((-308)/35))/((-85)/544*-2)?
8
3/7*1638/13*12/8
81
Calculate (9 + (-5 - 110/25))*(-300)/(-135)*1.
-8/9
What is the value of ((-46)/138)/(-5 - (-456)/90)?
-5
(-72204)/(-3282) - ((-696)/9)/(-4)
8/3
Evaluate 176/7 + -176 + 8415/55.
15/7
What is ((-11)/(2277/(-18)))/(200/(-4600))?
-2
What is (-1568)/(-608)*19 + -52?
-3
Evaluate (-24 - -19) + 390/(-156).
-15/2
What is the value of (-7)/(67/(-79060)*-70)?
-118
24 - (40 - (-460)/(-20) - 19)
26
What is the value of (80/(-3))/((6*(-5)/(-1620))/(133/(-1995)))?
96
Calculate (34 + -46)*51/(-18).
34
What is (22/4 - (1 - -1))*(1 - (-2070)/210)?
38
What is the value of ((130/(-18) + 8 + -1)*-3)/(-2)?
-1/3
Calculate (48/(-40))/(1/2 + (114/180 - 1)).
-9
What is (-940)/(-2226) - (7656/(-2233))/(16/(-2))?
-1/159
What is 50659/(-36185) + (-2)/(-30)?
-4/3
What is -3 + 11/3*(-522)/174*2/1?
-25
What is the value of 66*156/1495 - (-22)/(-253)?
34/5
Evaluate (1932/(-1242))/((-28)/216).
12
10/(750/1335) + (-16 - (-1 + 5))
-11/5
Calculate (90/9 - 9)/((-3)/(-45)*-1).
-15
Calculate 2760*5/(-8760)*-73.
115
Calculate 37 - (-89)/(2848/(-1728)).
-17
What is -5 + (-88)/(-33) - ((-469)/21 + 14)?
6
Calculate ((-130)/15)/(29250/(-23625)).
7
Evaluate 59/(-118)*(-11)/616*-14.
-1/8
Evaluate 6 + 4 + (2658 - -21)/47.
67
What is the value of 98/10 + (18/135*54 - 8)?
9
Calculate 1/85*-16 + (90208/(-320) - -282).
-3/34
Calculate (2 + -1)*(100/2 + (-2041 - -2074)).
83
Calculate (-1)/(-56) - 169911/(-12152).
14
Calculate 2 + 918/70 - (94 + 7505/(-95)).
4/35
-8 + -3 + ((-8170)/342)/(30/(-14))
4/27
What is (-6207)/173796 - 722/168?
-13/3
What is the value of (3/6)/(34*(-27)/(-1836))?
1
What is (-232)/630 - (-1 + (27/(-5) - 3) + 9)?
2/63
(-101)/(3838/(-380)) + 4*-6 + 98
84
(-21)/1505*(33/(-9) + (-86 - -83))
4/43
Evaluate (3223/215 + (-8 - 7))*(20 + -25).
2/43
What is (-820)/136 + 6 - (-676)/442?
3/2
What is (1494/2241)/((-175)/30 - -1)?
-4/29
Evaluate (-840192)/(-264960) + 6/207.
16/5
Evaluate ((-3)/9*-3)/((-41)/1558).
-38
Evaluate 4*22/12*(-282)/376 - (-737 + 730).
3/2
What is the value of (-63)/114*(-1)/((-6)/(-20))*(-2016)/(-11760)?
6/19
Calculate -1*((-325)/65 - (5061/(-1029) + 0/(-1))).
4/49
Calculate (1308/218)/(828/(-24)).
-4/23
Calculate ((-28905)/287)/(2040/(-1904)).
94
Calculate 1 + -3 - (-72)/42 - -749*(-20)/(-980).
15
((-33)/44)/(19 + (-21981)/1156)
51
What is the value of 1/(4/(-18))*(5/140 + (-83980)/(-31920))?
-12
Calculate (-16 + (9 - 1) + 1)*(9 + -8).
-7
What is the value of 10/(480/552) + -3 + -4?
9/2
Calculate -39 - (22 + (-567)/(-14))*-2.
86
What is (-1328)/166 + -10*(-3)/6 + (-12 - -64)?
49
What is (35/(-8) - -4)*280/490?
-3/14
What is (8 - ((-12)/(-18) + 7))/(12*11/264)?
2/3
Evaluate 38/798*(-7)/((-504)/27).
1/56
What is (91*(-5)/(-130) - (-145)/(-30))*276/8?
-46
What is -24*24/(-12096)*(1238 + 1)?
59
Calculate (0 - 25)/(-343 - -338).
5
Calculate (27648/5184)/((-142)/(-42) + -3).
14
Calculate 65212/24112 + 4/((-32)/10).
16/11
Evaluate 140/3 + ((-11)/(792/60))/((-55)/(-44)).
46
Calculate (21/(-6))/7 - (-123610)/(-15780).
-25/3
Calculate 741*(-67)/(-33969)*-39.
-57
Evaluate (-1)/(1/6) + (-1992452)/(-323450).
4/25
What is ((-1)/2)/(1687/(-964))*(-1)/66*-14?
2/33
What is (-168)/784 + 120061/(-994)?
-121
Calculate 5 + (50760/192)/(-45).
-7/8
What is the value of 1*(36425/(-893) + 26) - -15?
4/19
Calculate (34/(-2176)*-32)/38*2/(-1).
-1/38
Calculate (-42)/(-8)*(-195912)/(-19047).
54
What is the value of 11 - 5 - (-20 - -13) - (31 + -3)?
-15
What is the value of ((1364 - 1382) + (-258)/(-14))*623/6?
89/2
What is the value of (3796/208 - 12)*-20?
-125
What is the value of 361/42*-10 - -99*(-26)/54054?
-86
(-2 - 411/(-6))/(38/((-5472)/(-126)))
76
(13439 + -13559)/(4/5 + -2)
100
(-19)/4275*-125 + 728/180
23/5
What is the value of (-978)/3423*(10 + 10769/(-22))?
137
Evaluate ((-2)/1)/((-12)/21*(-14)/(-124)).
31
Calculate (2 + (-1)/(((-20)/(-104))/5))*297/(-1980).
18/5
What is the value of 62*8/(-11 + -5)?
-31
What is the value of (-337)/(-186) - (-4884)/(-2664)?
-2/93
(-5)/8 - (1642/(-48) - -33)
7/12
1 + 9 - (-164 - -177) - 10*1
-13
What is the value of (-330)/55*12 + 19?
-53
Calculate 67 + 525 + -526 + (-63)/(-3).
87
What is the value of ((48/(-6))/(-8) - (-3)/(-6))*(1254 + -1346)?
-46
What is ((4100/225)/(-41) - (-10)/(-18))/((-206)/(-4))?
-2/103
What is ((6 - 63)/7980)/(2/16)?
-2/35
What is the value of (-1)/((-11 + (-3565)/(-322))/((-7)/2))?
49
Calculate (103/(-10506)*-969)/(1/(-4)).
-38
4744/(-280) + ((-7)/70*-2 - (-36)/(-140))
-17
Calculate (-39900)/660 + 70 - (36/22)/3.
9
What is the value of 809319/20805 - (-32)/304 - 39?
2/365
What is the value of (((-4)/(-6))/(-1))/(28/315*199/(-2388))?
90
What is the value of (-1288)/(-27692) - (-1 + 1690/1204)?
-5/14
What is (6 + 29)*(-8680)/12152?
-25
Evaluate -1 + (-198)/81*(-102)/170.
7/15
What is the value of (451 - 22)/(-33) + -48 - -3?
-58
What is (-35910)/(-2114) - -15 - 32?
-2/151
What is 6/((-20210)/(-423) - 48)?
-27
What is 11 + (480*33/1254 - 23)?
12/19
(8224/(-95090))/((-8)/5)
2/37
What is the value of -3 - -13 - 633/(-6) - (324/(-24) + 16)?
113
Evaluate (3 - 60/(-45))*-9.
-39
50/36*(-102)/(-170) - 17051/20706
2/203
(-34)/4 - (-735)/(-980)
-37/4
Calculate (1 - 9)/(2689/(-10756)).
32
Evaluate ((-438)/4)/(18/(-144)*-124 - 14).
-73
Evaluate (70433/(-2022) + (-39)/(-9))/(1 + 6/(-4)).
61
Evaluate 2/34 - 23954/(-2006) - (-268)/(-22).
-2/11
Calculate 1/(-5) - ((12 + 8 - 29) + 120/(-100)).
10
What is (-9)/(-2)*(-216)/(-6804)*273?
39
What is -56*((-17204)/(-308) + -55)?
-48
Calculate (184/32 + -6)/((-47)/(-188)).
-1
Calculate 7633/17511 - (-4)/(-6).
-3/13
Evaluate 10/250*855/(-38)*(-2)/(-6).
-3/10
What is ((-605078)/(-36660))/(-157) - (-1)/26?
-1/15
What is (7040/100)/16 - (-2088)/(-45)?
-42
-5*2349/(-135) - (-1)/2*4
89
(-648)/(-132) + (-86546)/(-2398)
41
What is the value of 7/(-1) + (-132 - -134)?
-5
Evaluate (681612/(-2122335) + (-18)/(-1791))*20/(-42).
4/27
Calculate (-722)/(-969)*5532/8759.
8/17
Evaluate (-3396)/87 - 16*(-19)/8816.
-39
What is ((-161)/(-35) + -
|
{
"pile_set_name": "DM Mathematics"
}
|
ose h*q = -0*q. Does q = z?
False
Let j be (-3)/12*50*(-10)/25. Suppose -6*s = -j*s - 2, -q + 4*s - 8 = 0. Let c = -8 - 2. Which is smaller: c or q?
c
Let l(g) = 124*g - 3542. Let n be l(34). Which is greater: 676 or n?
676
Suppose -5*p = -3*o + 1, -9*o + 14*o - 13 = -3*p. Which is greater: 326.8 or p?
326.8
Let q = 81/7 - 83/7. Which is smaller: q or -88?
-88
Let w = -1 + 1. Suppose w*c - 33 = -5*v + 3*c, -v - 2*c + 4 = 0. Let l be ((-3)/11 - -1)/((-143)/((-119548)/152)). Are v and l unequal?
True
Let k(v) = v**3 - 94*v**2 - 87*v - 759. Let l be k(95). Let o be (6/(-3))/4*-38. Let p be (-2)/(-8) + o/52. Does l = p?
False
Let v be 2/(-5)*(-58)/(-116). Let m be 1*(375/(-189) - -2). Is m at most as big as v?
False
Let f be (-114669)/54 - (-1)/(-4)*2. Which is bigger: f or -2125?
f
Suppose -11 = 8*b + 13. Let i = 38 + b. Let v be i/10*52/28. Which is smaller: 6 or v?
6
Let t = -1404332/103 - -13634. Which is smaller: 0 or t?
t
Let a = -179 + 169. Let c be 3/18*(a - -8)*3. Is 30 less than c?
False
Let q = -5592 + 5482. Which is smaller: -778/7 or q?
-778/7
Let o = -20891 + 22839. Which is bigger: 1945 or o?
o
Let v = 5699 + -5721. Which is bigger: v or 101?
101
Let s(j) be the third derivative of j**4/24 - j**3/6 + 60*j**2. Let i be s(16). Which is smaller: i or 18?
i
Let v = -1112.688 + -20.312. Are -0.04 and v equal?
False
Let y be 1*3/(-12)*(10 - 2). Let d be (2 - (-808)/16)/(y/8). Is d less than or equal to -210?
True
Let y = -64 + -32. Let c = y - -75. Let p be (-6)/c + 796/(-2688). Is -1 smaller than p?
True
Suppose -37*v + 32*v - 2*l + 124 = 0, v = -5*l + 11. Which is greater: -2.04 or v?
v
Let p(m) = -596*m**2 - 154*m + 449. Let f be p(3). Is -5377 less than f?
False
Let h be 4/(-10) - 25176/(-240). Let g = 110 - h. Is g at least as big as 4?
True
Suppose -32 = -2*u + 3*t, 4*u + t - 54 = 2*t. Let s = 247 + -233. Is s at most as big as u?
False
Let i be (-2 + 7/4)*-12. Suppose -3*w + 10 - 1 = 0. Suppose -l + 3*g = w, i*l + 11 = l + g. Are -7 and l unequal?
True
Suppose 2*l + 5*c - 10485 = 0, -2*l = -4*c - 4843 - 5633. Is 5241 != l?
True
Let y = -127003/418 + 5772/19. Is 1 at least as big as y?
True
Let q = 7583.98 + 393.02. Is q equal to 0?
False
Let a(i) = 2*i**3 - 47*i**2 + 30*i - 64. Let k be a(23). Do 100 and k have the same value?
False
Let m be (-66)/(-4) + (-285)/19 - (-165)/(-2). Let y be -2 + (-68 - -2 - 1). Let d = -149 - y. Is d < m?
False
Suppose -22*x - 238 = -48*x + 74. Which is smaller: 20 or x?
x
Let p = 8598 - 8074. Which is smaller: p or 0.02?
0.02
Let a = 7795 - 7812. Let f = 0 - 1. Which is bigger: f or a?
f
Let r = -9.13 - -7.13. Let n = -406 - -1228/3. Which is smaller: r or n?
r
Let m = 0.5144 - 3.6944. Which is greater: 6 or m?
6
Let x be ((-267518)/4)/((-137)/3). Let q = x - 2929/2. Is q at most -1?
False
Let m(n) = -n**3 - 8*n**2 - 6*n + 15. Let g be m(-7). Suppose -17 = -5*q + 5*j + g, -3*q + 23 = -5*j. Is 6/49 >= q?
False
Suppose 5*i = -a + 4*i - 233, 237 = -a - 5*i. Let x = -233 - a. Let y be 3 - ((-57)/(-69) + 2). Which is smaller: x or y?
x
Let v = -0.04317 - 2.03383. Let c = -0.023 + v. Let j = 2.13 + c. Which is smaller: 0.5 or j?
j
Let p = 19831 - 376724/19. Which is smaller: 2 or p?
2
Let m = -89 + 88.8. Let b = 61 + -112. Let y = b + 48.1. Which is bigger: m or y?
m
Let z = 5510413/8632 - 5107/8. Do z and 1 have the same value?
False
Let t(v) = v**3 - 7*v**2 - 7*v + 11. Let y be t(8). Let n = 10 - y. Let f(l) = -2*l**2 - 21*l + 8. Let j be f(n). Is 35 < j?
False
Suppose -4*j + 65 = -7*j - 5*f, 75 = -3*j - 3*f. Which is bigger: -337/11 or j?
j
Let w = 348 - 348. Let f = 25 - 21. Let g be (-2)/5 + 656/(-210) + f. Is w greater than g?
False
Let a be 103*(1 - 0) + 21/(-7). Suppose -6*m + m + a = 0. Suppose 0 = -5*z - z + 120. Is z smaller than m?
False
Let w be ((-2)/((-44)/166) - -1) + 6942/(-12727). Let f = -18 - -7. Which is greater: f or w?
w
Let b be 136/(-6) + -24 + 46. Suppose 2*i + 5 = x + 1, 0 = -4*i + 8. Let g be ((-3)/x)/((-27)/12). Which is smaller: g or b?
b
Let f = 2447 - 2449. Let z = 1.3 - 0.2. Which is bigger: z or f?
z
Let v = -1/836248 - -702448391/59373608. Which is greater: 13 or v?
13
Let s = -1214/1037 + -6/1037. Suppose -w - 14 = -3*a, 3*w + 34 = -5*a + 48. Are w and s equal?
False
Let d(n) = n**3 - 12*n**2 + 19*n + 9. Let t be d(10). Let h(z) = 8*z**3 + 6*z**2 - z. Let j be h(t). Is j > -23?
True
Let u = 8.85 - 8.85. Let p = -12.55 - -12. Let f = 0.3 + p. Are f and u nonequal?
True
Let c(t) be the third derivative of t**6/120 + t**5/3 + 19*t**4/24 - t**3/6 + 78*t**2. Let g be c(-19). Is -4/29 bigger than g?
True
Let k be (880/180)/(-22)*(0 - (-8826)/8). Which is bigger: k or -244?
-244
Let s be (-21)/(-28) + 174/(-8). Let y = -59 - -62. Let z be (y - 5)*(-1)/(-6)*57. Which is bigger: s or z?
z
Let g(f) = -73*f - 8192. Let m be g(35). Is m >= -10747?
True
Let b be 57/(-380)*(-11 + (-75)/(-9)). Which is bigger: b or 333/2?
333/2
Let k be (0 - 2)/(38/(-513)). Let i(t) = -9*t + 244. Let x be i(k). Is 1 < x?
False
Let i(q) = -2*q**2 - 54*q + 4. Let p be i(-21). Which is bigger: p or 255?
p
Suppose 5*m + 5 = -0. Let s = 28767/13 - 2213. Which is smaller: s or m?
m
Let t be (-21)/(-6) + (-2 - 1). Let d = -9.4347 + -1.3433. Let l = 0.222 - d. Which is bigger: l or t?
l
Let d be (-3 - -4)*0 + 0. Let q be (5/(60/16))/((-1)/(-3)). Let g be (q/80 - d)/((-6)/(-16)). Is g greater than -1?
True
Suppose 17*u - 2*t = 16*u + 5, 0 = 4*u + 4*t + 4. Are u and -470 non-equal?
True
Let v(m) = 4*m**2 + 13*m + 18. Let s be v(-7). Let b = s + -124. Which is bigger: b or 3/43?
3/43
Suppose 0 = 6*a - 4*a - 6. Suppose y - i = 24, -a*y + 0*y + i = -62. Let g = y + -15. Are g and 5/2 unequal?
True
Suppose -32*n + 38*n + 24 = 0. Let w = 620 - 628. Is w != n?
True
Let z = -7636 + 7637. Let i be 2/(-1 + (-702)/(-698)). Let v = 1736/5 - i. Which is smaller: z or v?
v
Suppose 5*f - 25 = -0*f. Suppose f*i = 5*n, i - 2*n - 1 = -6. Suppose 2*x - i*t + 5 = 0, -3 - 2 = 4*x - 5*t. Which is smaller: 5/16 or x?
x
Let t be ((-360)/(-150))/((-8)/5 + 2). Which is greater: 22 or t?
22
Let l = 212 - 127. Let o = -572 - -656. Let i = o - l. Is 24 less than or equal to i?
False
Let i(o) = -o**2 - 4*o + 28. Let j be ((-36)/30)/((-24)/80). Let n be i(j). Suppose 3*h - 11 - 9 = 5*d, -d = 2*h + 17. Which is smaller: n or d?
d
Suppose -q + v = -70, 7 + 9 = 4*v. Suppose -5*o = -z - 43 + 6, 2*z + 3*o + q = 0. Let p = 45 + z. Is 8 equal to p?
True
Let h = -47473231290 + 8160648458794391/171900. Let s = -48/191 + h. Let r = s - -193/6300. Which is bigger: r or -1?
r
Let j be (-260)/38 - -4 - -2. Let z = j + 359/494. Is 1 >= z?
True
Let c = 5615 - 5612.97. Which is smaller: c or 2/23?
2/23
Suppose 13949 = 84*a + 1265. Is 146 at least a?
False
Suppose 3*t + 509 = 347. Let z be -2 + (-4 - -7) - (-30)/t. Is -6/5 greater than z?
False
Let f(q) = -2*q**2 - 41*q + 17. Suppose 276 = -5*p + 171. Let k be f(p). Is 14 smaller than k?
False
Let i(j) = j**2 + 52*j + 529. Let t be i(-14). Let l(n) = -9*n**2 + 3*n - 8. Let u be l(-7). Let k be (-2)/(-4) + u/20. Which is greater: k or t?
t
Let q = -14 - 35. Let j = q + 46. Which is greater: -3/2 or j?
-3/2
Let b = -3433.25 + 3433. Which is greater: 3/10 or b?
3/10
Let o be (-2 + -1)/(-3) + 0. Let f be (o - 0)*-4*(-7)/14. Suppose -12 = -f*u - 34. Is 0.4 at most as big as u?
False
Let l = 21104 + -21103.98. Is l greater than 103?
False
Let h be -1 + 3/((-126)/(-26)). Let f be 29/((-4263)/(-182)) - (-4)/(-7). Let u = h + f. Are -7/2 and u nonequal?
True
Suppose 5*i = -5*s - 5, 4*s + 1 = -3*i - 0*i. Suppose -j = b - 158, 0*j - s*b = -5*j + 818. Which is bigger: j or 161?
j
Suppose -4*i = -4*n - 48, -4*n - 2*i = 42 - 30. Which is bigger: n or 205?
205
Let s be ((-11936)/(-6))/((736/48)/(-23)). Is s greater than -2986?
True
Let k(s) = 3*s - 13. Let m be k(5). Suppose 2*a = 2*g - 3*g + 12, -3*g + 20 = m*a. Suppose -a*l + 29 = 5*p, 2*p - 15 = -0*p - 5*l. Is 2 not equal to p?
True
Let a(i) = 38*i**2 - 36*i - 207. Let u be a(-5). Are 924 and u equal?
False
Suppose 0*t - 6003 = -9*t. Suppose -32 = 3*k + t. Is k at most -232?
True
Suppose 0 = 4*z + 4 + 96. Let h = -20 - z. Let q(i) = -i**3 + 6*i**2 - 8*i + 16. Let y be q(h). Which is greater: y or 1/16?
y
Let c = -232244786/531 - -3937192/9. Let l = 280/3 - c. Which
|
{
"pile_set_name": "DM Mathematics"
}
|
nd the second derivative of -5818202*h**5 + 1864268*h wrt h.
-116364040*h**3
What is the first derivative of 11*c**3*z + 3080*c**2 - c*z**2 - c*z + 62773*z**2 - z + 3 wrt c?
33*c**2*z + 6160*c - z**2 - z
Differentiate -558182*v - 81323.
-558182
What is the first derivative of 35989*n**2 + 54078 wrt n?
71978*n
Differentiate -182173*f*i**2 - 10*i**2 + 278*i + 2 wrt f.
-182173*i**2
What is the third derivative of 4896*h**5 - 9*h**3 - 20640*h**2?
293760*h**2 - 54
What is the third derivative of 182930*s**4 + 2*s**3 + 56*s**2 - 337*s + 2?
4390320*s + 12
What is the second derivative of -31*m**2*o + 13701*m**2 - m*o + 87*m + 103*o wrt m?
-62*o + 27402
What is the third derivative of 32*u**4*v + 1719*u**4 + 4*u**3 - 21*u**2*v + 3*u**2 + 2*u*v + 913*v + 1 wrt u?
768*u*v + 41256*u + 24
Find the second derivative of 2*w**3*y**2 - w**3 + 37*w**2*y**3 + 445*w*y**3 + 141*y + 9 wrt y.
4*w**3 + 222*w**2*y + 2670*w*y
Differentiate -4*f*i**2 + 252600*f*n**3 - 15477*i**2*n - 6*i**2 - 3*i*n**3 wrt f.
-4*i**2 + 252600*n**3
Find the third derivative of 95000*z**3 - 120*z**2 - 52 wrt z.
570000
Differentiate 95529*g*j**2 + 478*j**2 - 89*j with respect to g.
95529*j**2
Find the second derivative of 1624669*y**2 - 5*y - 153213 wrt y.
3249338
What is the derivative of 137347*b**2*y - 7*b**2 + 37*b + 45 wrt y?
137347*b**2
What is the first derivative of -1668137*n - 277620 wrt n?
-1668137
Find the third derivative of -2*l**6 + 7604*l**5 - 373413*l**2.
-240*l**3 + 456240*l**2
Find the third derivative of 139769*f**5 - f**3 + 2*f**2 - 124328*f.
8386140*f**2 - 6
What is the second derivative of -245*j*t**3 + 482*j*t**2 + 3*j*t - 344*j - t + 57 wrt t?
-1470*j*t + 964*j
What is the second derivative of 75599*l**3 - 3*l + 23760?
453594*l
What is the third derivative of -283384*r**3*x**3 + 31*r**2*x**2 - 1332*x**3 wrt r?
-1700304*x**3
Find the second derivative of -i**4 + 1864*i**3 + 13*i - 1297 wrt i.
-12*i**2 + 11184*i
Find the third derivative of -3026*k**3 + 2*k**2 - 98745.
-18156
Differentiate 66864*m*q**3*z**2 - 108*m*q**3 + 19*m*q**2 - 3*m*q*z**2 - m + q**2 + 4*q with respect to z.
133728*m*q**3*z - 6*m*q*z
What is the third derivative of 524510*q**6 - 610815*q**2?
62941200*q**3
What is the first derivative of -2*o*s**3 - 164*o*s**2 - 21*o - 1436*s**3 wrt o?
-2*s**3 - 164*s**2 - 21
Find the third derivative of 3218*l**3*v**3 + 458*l**3*v**2 + 2*l*v**3 - 46*v**2 wrt v.
19308*l**3 + 12*l
Find the third derivative of 412104*g**4 - 2*g**2 - 4*g + 3230.
9890496*g
What is the third derivative of 30035*g**3 - 517*g**2 - 101*g?
180210
Find the first derivative of -2812*q**2 - 9*q + 323327 wrt q.
-5624*q - 9
What is the first derivative of -14752*i*y + 3*i - 5*y + 6578 wrt i?
-14752*y + 3
What is the third derivative of -17114*b*g**4 - 31*b*g**2 + 18*b*g - 4*g wrt g?
-410736*b*g
Differentiate 21792*x**4 + 2*x - 1035 wrt x.
87168*x**3 + 2
Find the second derivative of l**2*m**4 + 23515*l**2*m**2 + 2*l**2*m + 66125*m wrt m.
12*l**2*m**2 + 47030*l**2
What is the third derivative of -14164*g**3*x - 2*g**2*x + 288*x + 6 wrt g?
-84984*x
What is the second derivative of 7*c**3*g**3 + 3*c**3*g**2 + 116*c**3*g + 2*c**3 - 3*c**2*g - 31*c**2 - 1584*c*g**2 wrt g?
42*c**3*g + 6*c**3 - 3168*c
Differentiate -112730*v + 187565 with respect to v.
-112730
Find the second derivative of -567*o*u**3 + 3*o*u + 801*o + 1168*u**3 + 2*u**2 + 3*u - 10 wrt u.
-3402*o*u + 7008*u + 4
What is the derivative of 7*k**2*r**2 + k**2 + 696*k - 840*r**4 + 3 wrt r?
14*k**2*r - 3360*r**3
What is the second derivative of 2*d**2*l**2 - 892*d**2*l - 73*d**2 - 10740*d*l + 4*l**2 wrt d?
4*l**2 - 1784*l - 146
Find the third derivative of 554*l**6 + 16*l**5 - l**4 + l**2 - 78007.
66480*l**3 + 960*l**2 - 24*l
What is the first derivative of -40212*a*w**4 - 2*a - 293 wrt w?
-160848*a*w**3
What is the third derivative of 63513*d**3 + 51932*d**2?
381078
Find the third derivative of 2257090*m**5 + 4094703*m**2 + 2*m.
135425400*m**2
Differentiate 206513*o**2 + 281133.
413026*o
Differentiate 4*g**3 + 442*g**2 + 51*g + 133344 with respect to g.
12*g**2 + 884*g + 51
What is the third derivative of -9921*f**4 + 3*f**3 - 28*f**2 - 278?
-238104*f + 18
Find the third derivative of 490721*q**3 + 576616*q**2.
2944326
What is the second derivative of -1343161*u**2 - 1673*u - 8 wrt u?
-2686322
Find the third derivative of 529098*d**3*z**3 + 2*d**2*z**3 + 19816*d*z**3 + 18*z**3 wrt d.
3174588*z**3
What is the third derivative of 5*b**5 - 6325*b**4 - 88862*b**2 wrt b?
300*b**2 - 151800*b
What is the third derivative of 31*c*f**3*n*w + 29*c*f**3*n + 2*c*f**2*n*w - 33*c*f**2*w - 5*c*f*n*w + 34*c*n*w + 5*f**3*w wrt f?
186*c*n*w + 174*c*n + 30*w
Find the third derivative of -266131*r**6 + r**2 - 61954*r.
-31935720*r**3
What is the first derivative of 381*m*u - 22927*m wrt u?
381*m
Find the first derivative of 1772*w**4 - 71150.
7088*w**3
What is the second derivative of -12123*r**3 - r + 445 wrt r?
-72738*r
What is the derivative of -7881*c**2 + 38008 wrt c?
-15762*c
What is the derivative of d**4 + 3*d**3 - d**2 - 107*d - 293856 wrt d?
4*d**3 + 9*d**2 - 2*d - 107
Find the first derivative of -714*s**2*u**2 + 287989*s**2 + s*u**2 - u**2 - 2*u wrt u.
-1428*s**2*u + 2*s*u - 2*u - 2
Differentiate -39*l**2 + 383*l + 152851.
-78*l + 383
What is the second derivative of 5240484*d**4 - 5370948*d wrt d?
62885808*d**2
What is the first derivative of -498722*v**4 + 37712 wrt v?
-1994888*v**3
What is the third derivative of -235*f**3*r - 236*f**3 + 11*f**2*r + 3*f**2 + 5*f*r - 3*f - 1 wrt f?
-1410*r - 1416
Find the third derivative of -105521*p*r**4 - p*r + 4177*p - 2*r**2 wrt r.
-2532504*p*r
Find the first derivative of -57654*g**2 + 26481 wrt g.
-115308*g
What is the second derivative of -3*c**5 + 63863*c**3 - 1258807*c?
-60*c**3 + 383178*c
Find the second derivative of 255441*z**3 + 47515*z.
1532646*z
What is the third derivative of 13*a**3*n*o - 32*a**3*n + 2*a**3*o - a**3 - 2*a**2*n*o + 4*a*n*o + 2*n + 8 wrt a?
78*n*o - 192*n + 12*o - 6
What is the third derivative of 419940*m**3*n**2 - m**2*n**2 - 665264*m**2 wrt m?
2519640*n**2
What is the first derivative of 4090052*f*v + 507*v - 2626 wrt f?
4090052*v
Find the second derivative of 98305*i**2 + 9167*i.
196610
Differentiate -127621*f**2 + 899931 with respect to f.
-255242*f
What is the second derivative of 3392*m**3*y**4 - 9*m**3*y - 20*m**3 + m**2*y - 3*m*y wrt y?
40704*m**3*y**2
What is the third derivative of -89*t**5 + 3417*t**3 + 5*t**2 - 72*t + 167?
-5340*t**2 + 20502
Find the third derivative of 981*k**5 - 4*k**3 - 7*k**2 + 58 wrt k.
58860*k**2 - 24
Differentiate -3176877*l + 725199.
-3176877
What is the third derivative of 287*b**3*s**3 + 236*b**3*s**2*v**2 - 160*b**2*s**2 + 4*b*s**3*v**2 - b*s**3*v - 6*s**3 wrt b?
1722*s**3 + 1416*s**2*v**2
What is the second derivative of 4*b*p**4 - 24859*b*p**2 - 234*b*p - 545*b + 3*p**2 + 4 wrt p?
48*b*p**2 - 49718*b + 6
Find the first derivative of 3*b*q**2 - 3691*b*q + 2*b - 3*q**2 + 2*q + 49452 wrt q.
6*b*q - 3691*b - 6*q + 2
What is the third derivative of -c**3*j**2*w - 11*c**3*w - 7635*c**3 + 3*c**2*j*w - 3*c**2*w + 2*c*j**2*w - 385*j + 2*w + 3 wrt c?
-6*j**2*w - 66*w - 45810
What is the second derivative of -379738*z**2 - 344657*z wrt z?
-759476
What is the third derivative of -8*b**4*g - 9*b**4 + 234*b**3*g + 2*b**3 - 3*b**2*g + 2*b**2 - b*g + 5*g + 61 wrt b?
-192*b*g - 216*b + 1404*g + 12
Find the second derivative of 1825*a*b**3*u + 11*a*b*u + a*b + 7*a*u - 5*b**3*u - 12*b**2*u + 368 wrt b.
10950*a*b*u - 30*b*u - 24*u
Find the third derivative of -2201*k**3*r**3 + 85*k**3 + 41*k**2*r**3 + 2*k**2*r**2 - 1356*k**2 wrt k.
-13206*r**3 + 510
Differentiate 218044*g**3*m**3 - 2767874*g**3 - g**2*m**4 wrt m.
654132*g**3*m**2 - 4*g**2*m**3
Find the second derivative of -17699*w**4 - 41*w**2 - 1727248*w wrt w.
-212388*w**2 - 82
Differentiate 2*p*r*w - 257*p*w**2*z + 109*p*w*z + 352*r*w**2*z - 4*r*z + 3*w**2*z with respect to p.
2*r*w - 257*w**2*z + 109*w*z
Find the first derivative of 2100072*o*x**2 + x**2 + 257*x + 1256 wrt o.
2100072*x**2
Find the first derivative of 307*x**2 - 88*x - 235705 wrt x.
614*x - 88
Find the second derivative of 1287*q**3*u**2*y + 50*q**3*u*y + 2*q**3*y + 3*q**3 - q**2*u*y - 218*q*u**2*y - 116*y wrt u.
2574*q**3*y - 436*q
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1
Collect the terms in 2201212*m - 552008*m + 8*m**2 + 3*m**2.
11*m**2 + 1649204*m
Collect the terms in 34602*v + 23711*v - 1 - 4182*v.
54131*v - 1
Collect the terms in -10*u**3 + 22887748 - 22887748.
-10*u**3
Collect the terms in 192 - 1387 - 28*g**3 + 14*g**3 - g + 166 - 1098.
-14*g**3 - g - 2127
Collect the terms in 98896*x - 3*x**2 + 114368*x - 213264*x.
-3*x**2
Collect the terms in 4413*y**3 - 9473*y**3 - 7700*y**3.
-12760*y**3
Collect the terms in 11*n**3 + 726858*n**2 - 22*n + 22*n + 726866*n**2 - 1453724*n**2.
11*n**3
Collect the terms in 0 + 0 - 4766722*t**2.
-4766722*t**2
Collect the terms in 2 - 332704*g**2 + 332820*g**2 + 1.
116*g**2 + 3
Collect the terms in -549*j**3 + 2*j - 2513 + 2513 + 305*j**3.
-244*j**3 + 2*j
Collect the terms in -49 + 29*w - 95*w + 34*w + 33*w + 56.
w + 7
Collect the terms in 4*q**2 - 70 + 170*q + 68 - 204*q.
4*q**2 - 34*q - 2
Collect the terms in 107*t + 113*t + 3*t**3 + 115*t - 127*t - 210*t - 2*t**3.
t**3 - 2*t
Collect the terms in 15*t - 20*t**2 + 3235 + 3924 + 24*t - 39*t.
-20*t**2 + 7159
Collect the terms in 128*s**2 - 113939*s**3 - 45*s**2 - 31*s**2 + 113938*s**3 + 97*s**2.
-s**3 + 149*s**2
Collect the terms in 1009*v**2 + 973*v**2 + 971*v**2 - 2780*v**2.
173*v**2
Collect the terms in 105690599536*z - 105690599536*z + 3 - 43*z**2.
-43*z**2 + 3
Collect the terms in -3123443*r - 3123306*r + 6246811*r.
62*r
Collect the terms in -436*j + 285*j - 408*j + 10 - 125*j - 529*j.
-1213*j + 10
Collect the terms in -493*r**2 + 10*r**3 + 33764 + 512*r**2 - 33764.
10*r**3 + 19*r**2
Collect the terms in -t**2 - 437761375233*t + 437761375233*t.
-t**2
Collect the terms in -12494*p + 13*p**3 + 12497*p - 18*p**3.
-5*p**3 + 3*p
Collect the terms in -2*m**3 - 10*m**3 - 8*m**3 - 12*m**3 + 63*m**3 - 15*m**3.
16*m**3
Collect the terms in 134*r**2 + 137*r**2 + 169997 - 273*r**2.
-2*r**2 + 169997
Collect the terms in -26*w**2 - 26*w**2 - 18*w**2 + 142*w**2 + 249 - 70*w**2.
2*w**2 + 249
Collect the terms in 77123*v - 5 - 77121*v - 44 + 58 - 9.
2*v
Collect the terms in 23395*r**2 - 45759*r**2 + 23785*r**2.
1421*r**2
Collect the terms in -6802514*g**3 + 0*g + 1468068*g**3 + 0*g.
-5334446*g**3
Collect the terms in -212*f + 107*f + 103*f + 149.
-2*f + 149
Collect the terms in -1264*z**3 - 528*z**3 - 159*z**3.
-1951*z**3
Collect the terms in -1082390 - 2*n**2 + 3*n**2 + 7*n**2 + 1082392.
8*n**2 + 2
Collect the terms in 0*s**2 - s**2 - 2*s**2 + 300*s - 174*s + 423*s + 4.
-3*s**2 + 549*s + 4
Collect the terms in -29263445*q**2 + 33683*q**3 + 29263445*q**2 - 33681*q**3.
2*q**3
Collect the terms in 6952*l**3 - 13874*l**3 + 6913*l**3.
-9*l**3
Collect the terms in 2885*v**3 + 768*v**3 + v - 6358*v**3.
-2705*v**3 + v
Collect the terms in 92*s - 329*s**3 - 34*s + 328*s**3 - 46*s.
-s**3 + 12*s
Collect the terms in 40 + 18 - 92 + 34 - 2091*u + 2116*u.
25*u
Collect the terms in -24124*t**2 - 9847*t**2 + 34024*t**2.
53*t**2
Collect the terms in -22084*c**2 - 4 + 1 - 22099*c**2 + 66239*c**2 - 22082*c**2 + 3.
-26*c**2
Collect the terms in -12237*g**3 - 748 + 376 + 372.
-12237*g**3
Collect the terms in -14*d**2 + 14*d**2 - 38*d + 38*d - 1207*d**3 - 11.
-1207*d**3 - 11
Collect the terms in 14*h - 22*h + h - 47*h - 135.
-54*h - 135
Collect the terms in -5*v**2 - 38390 - 15*v**2 - 38395 + 76785 + 7*v**2.
-13*v**2
Collect the terms in -18005*p**2 - 18116*p**2 - 18003*p**2 + 54125*p**2.
p**2
Collect the terms in 9491608577*k - 9491608577*k - 2*k**2 + 6*k**2.
4*k**2
Collect the terms in 7579*t**3 - 12285*t**3 + 11*t - 11*t.
-4706*t**3
Collect the terms in -10*w**2 + 2 - 6388868*w + 6388868*w.
-10*w**2 + 2
Collect the terms in 971*n**3 + 250*n**2 - 252*n**2 - n + n - 738*n**3.
233*n**3 - 2*n**2
Collect the terms in -398582*u**2 + 199289*u**2 + 199280*u**2.
-13*u**2
Collect the terms in 74028 - 3*s**2 - 148088 + 74046.
-3*s**2 - 14
Collect the terms in -4753*h**2 + 10368*h**2 - 5616*h**2 - 14.
-h**2 - 14
Collect the terms in 11*m + 202 + 13*m + 7*m.
31*m + 202
Collect the terms in -104 - 26*y**2 + 311 - 106 - 101.
-26*y**2
Collect the terms in -167 + 34*u**3 - 51 - 33*u**3 - 126*u**2 + 218.
u**3 - 126*u**2
Collect the terms in 5085152*j - 136 + 136 - 5085272*j.
-120*j
Collect the terms in -109*n**2 + 12910*n**3 + 302*n**2 - 12912*n**3.
-2*n**3 + 193*n**2
Collect the terms in 357399064*p**3 + 357399076*p**3 - 714798120*p**3.
20*p**3
Collect the terms in -207*l**2 - 705*l**3 + 210*l**2 + 746*l**3.
41*l**3 + 3*l**2
Collect the terms in y**2 + 4634992 - 4634992.
y**2
Collect the terms in -4*m - 11107 - 11383 - 11394 - 11382 + 45266.
-4*m
Collect the terms in 17*b**3 + 6*b - 304*b**2 + 1713*b**2 - 1 + 306*b**2 - 6*b.
17*b**3 + 1715*b**2 - 1
Collect the terms in 487*x**2 + 3 - 216*x**2 + 1 + 129*x**2 + 729*x**2.
1129*x**2 + 4
Collect the terms in 239730*o - o**3 - 69525*o - 42675*o + 208187*o.
-o**3 + 335717*o
Collect the terms in 90*m**3 + 217*m**3 + 39*m**2 - m**2 - 5*m**2 - 33*m**2.
307*m**3
Collect the terms in -3385712376 + 230*p**2 + 3385712376 - 4*p**3.
-4*p**3 + 230*p**2
Collect the terms in -4728*k**3 - 22299*k**3 - 6880*k**3.
-33907*k**3
Collect the terms in -6 + 2398*f + 1854*f + 1 + 5.
4252*f
Collect the terms in 1 - 863*f**3 - 6*f**2 - 17*f**2 - 2*f + 0*f**2.
-863*f**3 - 23*f**2 - 2*f + 1
Collect the terms in 31 + 1326*x**3 + 1336*x**3 + x**2 - 4101*x**3 + 1366*x**3.
-73*x**3 + x**2 + 31
Collect the terms in -2*b - 1125 + 2*b + 3346 - 1094 - 2*b - 1127.
-2*b
Collect the terms in -1921*o**3 + 880*o**3 + 864*o**3 - 1527*o**3 - 1398*o**3.
-3102*o**3
Collect the terms in 192 - 73 - 9*p**3 - 40 - 58.
-9*p**3 + 21
Collect the terms in 776*y**2 - 8 - 25 - 6 + 39 - 769*y**2 + 0.
7*y**2
Collect the terms in 2556582*x**2 - 6*x - 2556481*x**2 - 6*x + 13*x.
101*x**2 + x
Collect the terms in -27*u**3 + 17735 + 17*u**3 - 35523 + 17788.
-10*u**3
Collect the terms in -925*p + 2668*p - 200*p**3 - 943*p - 800*p.
-200*p**3
Collect the terms in 2656*d + 1870*d + 2655*d + 2652*d + 2649*d - 12484*d.
-2*d
Collect the terms in -1100 + 4*k + 1100 + 71*k**3 - 834*k**3 - 29*k**2 - 2*k.
-763*k**3 - 29*k**2 + 2*k
Collect the terms in 2*t + 493*t**2 + 484*t**2 - 1003*t**2 - 44*t**3.
-44*t**3 - 26*t**2 + 2*t
Collect the terms in 5877429487 - 22*y**2 + y**2 - 5877429489.
-21*y**2 - 2
Collect the terms in -2257674*b + 1128861*b - 6*b**2 + 7*b**2 + 6*b**2 + 1128813*b.
7*b**2
Collect the terms in 87*z**2 + 79*z**2 + 105*z**2 - 511*z**2 + 83*z**2 + 77*z**2 + 85*z**2.
5*z**2
Collect the terms in 9 + g + 7*g + g**2 + 0*g**2 - 10*g - 38.
g**2 - 2*g - 29
Collect the terms in -12*n**2 - 25952 + 6493 + 6487 + 6485 + 6487.
-12*n**2
Collect the terms in -10139*g**3 - 10129*g**3 + 30390*g**3 - 10124*g**3.
-2*g**3
Collect the terms in -41*h + 767 - 20*h + 27*h + 37*h.
3*h + 767
Collect the terms in 1 - 227*u - 3841*u - 105*u - 4573*u.
-8746*u + 1
Collect the terms in 3778120*m**2 + 1749967*m**2 + 324427*m**2 - 47331*m**2.
5805183*m**2
Collect the terms in 0 - 88*f**3 - 214*f**3 + 1 - 72*f**3 - 7*f + 6*f.
-374*f**3 - f + 1
Collect the terms in -3 - 1443*t**2 + 1530*t**2 + 1054*t**2 + 3 + 0.
1141*t**2
Collect the terms in 115*a**2 - 160 - 261 + 806 - 266.
115*a**2 + 119
Collect the terms in 191*q**2 - 245 - 160 + 643 - 238.
191*q**2
Collect the terms in -1 + 1556509*v - 1556923*v + 1.
-414*v
Collect the terms in 358242*d - 127 + 127.
358242*d
Collect the terms in -27*d + 22017 + 31*d - 22021.
4*d - 4
Collect the terms in 9 - 5*u + 34*u**2 - 52*u**2 + 19*u**2.
u**2 - 5*u + 9
Collect the terms in -14*k**2 + 59848019524 - 59848019524.
-14*k**2
Collect the terms in 5138292*p - 10276570*p + 5138307*p.
29*p
Collect the terms in -2826*m - 9 + 5 + 4 + 3802*m**3 - 3804*m**3 + 2826*m.
-2*m**3
Collect the terms in 11*f + 247748 + 247755 + 247746 - 991024 + 247775.
11*f
Collect the terms in 4*y - 2731*y**2 - 4*y - 88*y**2.
-2819*y**2
Collect the terms in 2272*d - 2272*d - 182309*d**3.
-182309*d**3
Collect the terms in 29401 - 14707 - 7*x + 8*x - 19*x - 14693.
-18*x + 1
Collect the terms in 162*z**3 - 235*z**3 + 39*z**3 - 16 - 17 + 34.
-34*z**3 + 1
Collect the terms in 9 - 168 - 590*r + 590*r - 18*r**2 - 39.
-18*r**2 - 198
Collect the terms in -1014*n**2 + 84*n**2 + 28435 - 14204 - 14230.
-930*n**2 + 1
Collect the terms in 428503*s**2 + 153091*s**3 - 428503*s**2.
153091*s**3
Collect the terms in 119322
|
{
"pile_set_name": "DM Mathematics"
}
|
se
Let p be 52/(-8) - 2/(-4). Let o(j) = -j**3 + 26*j**2 - 27*j + 50. Let y be o(25). Is ((-3)/p + y)/(5/840) a multiple of 12?
True
Let s(i) = 8371*i**2 + 14*i - 15. Is 9 a factor of s(1)?
True
Let n be 28/6 - (-4)/(-6). Let k be (27/(-6) + n)*0. Suppose k*h + 40 = h. Is h a multiple of 10?
True
Suppose 5*v + 112*j = 108*j + 9, v - 2*j = 13. Suppose 0*h = h + 3*b - 21, v*h - 3*b - 69 = 0. Does 6 divide h?
False
Let o(l) = l**2 - 23*l + 22. Let t be o(22). Suppose t*y + 3*y = 84. Suppose -28 - y = -2*a. Is a a multiple of 14?
True
Suppose -8*d + 1883 = -30*d + 54551. Is d a multiple of 24?
False
Suppose 3*b - 1932 = -5*v, -v - 1950 = 9*b - 12*b. Does 19 divide b?
False
Let q = 11097 - 4894. Is 11 a factor of q?
False
Let z = 540 - 534. Is 50 a factor of 135/(-2)*(-80)/z?
True
Suppose -4*t + k = -28156, 0 = 11*t - 10*t + 4*k - 7056. Is t a multiple of 22?
True
Suppose -7*d + 36 = 2*d. Suppose 3*b - 372 = -d*n, 2*n + 2*b - 186 = -0*b. Is 4 a factor of n?
False
Let d(v) = 5*v**3 + 187*v**2 + 50*v - 17. Is 12 a factor of d(-36)?
False
Let g be 1/6 - (0 + 250/60). Is 35 a factor of 1 + 4 + g - (8 - 1337)?
True
Suppose 3*b - b = -3*q + 170, -5*q + 4*b = -320. Let j = q + -23. Suppose -2*t - j + 149 = 0. Does 44 divide t?
False
Suppose 2*n = -8, 28 = 4*v - 6*n + 2*n. Let f be ((-3)/(-6))/(v/(-66)). Let b(j) = j**3 + 13*j**2 + 5*j + 12. Does 24 divide b(f)?
False
Let n be (21/6 - 4)*-18. Suppose 0 = -2*c + n*c - 1176. Suppose 23 = -5*u + c. Does 2 divide u?
False
Suppose 2*x - 11360 = -3*v, -3361 = -2*v + 4*x + 4207. Does 42 divide v?
False
Let g = 155 + 73. Let p = g - -108. Does 42 divide p?
True
Let i(s) = 51*s - 27. Let l(k) = -74*k + 41. Let f(r) = -8*i(r) - 5*l(r). Does 26 divide f(-9)?
False
Let r = -4407 + 5127. Is r a multiple of 10?
True
Let y = 3193 + -1737. Is 8 a factor of y?
True
Suppose 2*s - 3*i - 36801 = 0, 0 = -2*s + 4*i + 3751 + 33043. Does 174 divide s?
False
Suppose 429*d + 6254 = 2*s + 427*d, 2*s - 4*d = 6246. Does 4 divide s?
False
Let z(a) = a**2 - a - 1. Let j(n) = -57*n**2 + 8*n - 14. Let b(p) = -j(p) - 6*z(p). Let w(x) be the first derivative of b(x). Does 25 divide w(1)?
True
Let b(t) be the first derivative of -t**3/3 + 19*t**2 - 27*t + 278. Is 5 a factor of b(16)?
True
Suppose -18*q + 778119 + 115239 = 0. Is q a multiple of 78?
False
Let j(t) = 3*t**3 - 38*t**2 + 31*t - 213. Is j(18) a multiple of 56?
False
Let y(m) = 517*m**2 + 11*m - 6. Is y(-6) a multiple of 18?
True
Suppose 3*q - 2*k = 58, 86 = 12*q - 9*q + 5*k. Let t = -33 + 51. Suppose -2*n = t - q. Does 2 divide n?
True
Let y be (-12)/(-54)*-1 + (-7431)/(-27). Let j = 54 + y. Does 24 divide j?
False
Let t(i) = -2*i**3 - 57*i**2 + 19*i + 192. Does 20 divide t(-30)?
False
Let f(o) = 2*o - 12. Let s be f(8). Suppose s*r + 2 + 179 = 5*t, 3*t - 3*r - 111 = 0. Let p = -13 + t. Is 5 a factor of p?
True
Let u = 12284 - -9769. Is u a multiple of 47?
False
Suppose 319*v - 277367 = 4314892 + 1122945. Is v a multiple of 17?
False
Let f be (42/8 + -5)*8. Does 19 divide (2/f*-1)/(1/(-62))?
False
Let w = -40 + -1. Let h = -39 - w. Suppose 0 = h*s + 2*s - 56. Does 10 divide s?
False
Let y(z) = 7*z + 17. Let o be y(-2). Suppose -o*r = -s - 6*r + 316, r + 1628 = 5*s. Does 25 divide s?
True
Let c(d) = -d**2 - 27*d + 63. Let n be c(-29). Suppose -w + 20 = q, -4*q + 79 - 17 = -n*w. Is q a multiple of 6?
True
Let u = 65 + 0. Let r = -72 + 31. Let h = r + u. Is h a multiple of 3?
True
Suppose 0 = 11*w - 68 + 24. Let y = -4 + w. Suppose y = -5*s + 5*h + 100, 2*s - 2*h = 3*h + 25. Is s a multiple of 7?
False
Is (10 - (-125646)/(-12))/((-5)/30) a multiple of 13?
False
Suppose -1039 + 199 = -8*p. Let a = 105 - p. Does 20 divide a - -2 - (-57)/6*4?
True
Suppose 0 = 16*w - 26*w. Suppose -4*h + 402 = 3*b - 118, w = -4*b - 4*h + 688. Is 42 a factor of b?
True
Suppose 4*g = 4, 4*g - 539 - 1589 = -2*a. Does 3 divide a?
True
Suppose 1727 + 2541 = 22*w. Is 11 a factor of (-4)/(w/259 + (-6)/7)?
False
Let w be (-2)/(-4) - 12425/(-10). Suppose t - 4*f - w = -114, -f - 3365 = -3*t. Suppose -c = -4*k + t, 2*c + 1469 = 5*k + 70. Does 13 divide k?
False
Let q be (-3)/18*2*(-5 + -88). Let n = q + -29. Suppose -w = -n, -w - 2*w - 46 = -2*f. Is f a multiple of 26?
True
Suppose 2*h + 1568 = -2*b - 0*b, 0 = 4*b + 2*h + 3144. Let w = -457 - b. Let s = w - 175. Does 26 divide s?
True
Let w be ((-3140)/(-6))/(13/39). Let g = w + -1085. Is g a multiple of 77?
False
Let l(r) = 15*r**2 + 25*r - 193. Is l(-16) a multiple of 71?
False
Let v = -1911 + 8328. Is 23 a factor of v?
True
Suppose -9*q + 8866 = -20366. Is 16 a factor of q?
True
Let t(a) = -3*a + 7*a - 5 + 2*a**3 - 2*a**2 + 10 - 3. Let c(u) = 5*u**3 - 4*u**2 + 7*u + 4. Let w(m) = -3*c(m) + 5*t(m). Does 24 divide w(-2)?
True
Suppose -4*m + 8 = -6*m. Let w be (276/(-30) - 0)*10/m. Suppose 32 = s - w. Is 33 a factor of s?
False
Suppose 200*z - 219245 - 1751755 = 0. Does 15 divide z?
True
Suppose 54*x = -30*x + 1268315 + 1519393. Is 128 a factor of x?
False
Let t(q) = -1139*q - 9425. Is t(-23) a multiple of 28?
True
Suppose -46*q + 56957 = -17*q - 168199. Is q a multiple of 63?
False
Suppose 0 = 5*n - 438 - 442. Is 59 a factor of ((-1236)/7)/(n/(-616))?
False
Suppose -3*w + 60*i - 63*i = -49245, 0 = 3*w + 4*i - 49251. Is w a multiple of 24?
False
Is 76 a factor of ((-16170)/55)/(1*(-3)/80)?
False
Suppose 131*k = 5*k + 1162476. Is 8 a factor of k?
False
Let l(j) = -6*j - 433. Let x be l(0). Let n = 793 + x. Does 15 divide n?
True
Let n(q) be the third derivative of 5/6*q**3 + 15*q**2 + 1/60*q**5 + 1/3*q**4 + 0*q + 0. Is 2 a factor of n(-9)?
True
Suppose -10 = -5*r, -4*t - r + 13 = -5. Suppose 0 = c - t*a - 48, a - 42 = -c - a. Does 5 divide c?
False
Let j = 56 - 51. Suppose -j*f - 5 = 10. Does 9 divide -1*(f - 0) + 24?
True
Suppose 3*l - 22758 = -3*n, 3*n - 3*l + 5527 = 28285. Does 9 divide n?
False
Suppose 0 = -58*j + 121*j - 3402. Suppose -4*x - 102 - 266 = 0. Let z = j - x. Is 27 a factor of z?
False
Suppose -4*k - 23 = -h, 0 = 2*h - 0*h - 3*k - 21. Suppose h*c + 567 = 5*v, 4*v + c - 308 = 149. Is 19 a factor of v?
True
Does 27 divide 915 + (4 - 7) + 6?
True
Let c be (-194)/(-4) + (-80)/32. Is c*(-6 + 114/12) a multiple of 23?
True
Suppose -6*z = -9*z - 75. Let r(q) = -2*q - 25. Let u be r(z). Let i = 27 + u. Is 30 a factor of i?
False
Let k = -1407 - -2231. Is k a multiple of 8?
True
Suppose 0 = 102*p + 243*p - 17020575. Is p a multiple of 13?
True
Let l(t) be the third derivative of -17*t**4/24 - 16*t**3/3 - 8*t**2 + 141*t. Suppose 0 = -0*j - j - 9. Is 8 a factor of l(j)?
False
Let n = 4 + -14. Let a be (23 + -3)*(-4)/n. Is 23 a factor of ((-4)/6)/(a/(-1044))?
False
Let d(m) = 8*m**3 + 7*m**2 + 3*m - 3. Suppose -2*g + 14 - 22 = 0. Let q(r) = -7*r**3 - 8*r**2 - 3*r + 2. Let i(b) = g*d(b) - 3*q(b). Is i(-2) a multiple of 14?
True
Is 0 + (-83661)/(-9) - 13*(-22)/(-429) a multiple of 21?
False
Let n(q) = 19*q - 8*q + q**2 - 12*q + 8. Let c be n(-5). Suppose 34 = s + 3*y, s + y + c = 2*s. Does 37 divide s?
True
Let r = -148 - -144. Does 9 divide (-10668)/(-108) + r/(-18)?
True
Let q = -208 - -212. Let w(r) be the first derivative of 2*r**3/3 + r**2/2 - 2*r + 4. Does 6 divide w(q)?
False
Suppose -4*v = u - 2956, 0 = -3*u + v + 8817 + 51. Is u a multiple of 15?
False
Let i(p) = p**2 + 2*p - 92. Let a be i(-12). Let o = 842 + -107. Does 9 divide o/a - 2*(-1)/(-8)?
False
Let w be (-10)/(-25) - (-112)/20. Let l(u) = 9*u**2 + 5*u + 41. Let i(v) = 4*v**2 + 2*v + 20. Let d(j) = w*l(j) - 13*i(j). Does 8 divide d(-7)?
True
Let n = -9040 + 19570. Does 135 divide n?
True
Let t(m) = 17*m**2 - 11*m + 5. Suppose -4 = 11*n - 12*n. Is 21 a factor of t(n)?
False
Let d = 58362 + -37401. Does 109 divide d?
False
Let k(a) = a**3 + a**2 - 5*a + 69. Let n be k(0). Let o = 143 + n. Is o a multiple of 35?
False
Suppose 10*k = -8*k + 252. Does 63 divide (-60)/105 - (-6266)/k?
False
Let u(x) = 100*x**2 - 20*x - 48. Is u(-4) a multiple of 16?
True
Let q = -94 - -108. Let g(u) = -2*u**2 + 60*u - 27. Does 12 divide g(q)?
False
Let q = 6923 + -5848. Is q a multiple of 25?
True
Let h(n) = n**2 - 2*n + 27. Let b be h(0). Let m = b + 109. Does 12 divide m?
False
Suppose 6084 = 13*o - 1521. Is o a multiple of 2?
False
Suppose -3*i - 41 + 5 = 0. Let n = i + 14. Suppose -n - 24 = -2*k. Is 4 a fact
|
{
"pile_set_name": "DM Mathematics"
}
|
tor of 44435?
False
Is 4190 a multiple of 5?
True
Is 57984 a multiple of 192?
True
Is 45253 a multiple of 3?
False
Is 20 a factor of 38809?
False
Is 5998630 a multiple of 46?
True
Does 21 divide 109136?
False
Does 6 divide 14321473?
False
Does 26 divide 71204?
False
Is 1733399 a multiple of 13?
False
Is 968730 a multiple of 10?
True
Does 33 divide 482097?
True
Is 480123 a multiple of 63?
True
Does 329 divide 5229977?
False
Is 7 a factor of 540269?
False
Is 54 a factor of 386156?
False
Does 6 divide 31649?
False
Is 179 a factor of 3451353?
False
Is 36 a factor of 139212?
True
Is 10000150 a multiple of 883?
False
Is 90 a factor of 662891?
False
Is 4695721 a multiple of 33?
False
Does 380 divide 184497?
False
Is 113 a factor of 496409?
True
Is 10 a factor of 923250?
True
Does 21 divide 82740?
True
Does 4 divide 809728?
True
Does 7 divide 19099?
False
Does 49 divide 3579350?
False
Is 3188878 a multiple of 154?
True
Does 357 divide 650454?
True
Is 287790 a multiple of 318?
True
Is 23 a factor of 8933574?
False
Does 29 divide 62263?
True
Does 20 divide 171560?
True
Is 201 a factor of 320086?
False
Is 49 a factor of 899836?
True
Is 206460 a multiple of 93?
True
Does 41 divide 121458?
False
Does 136 divide 2231477?
False
Is 453 a factor of 27652026?
True
Is 7456872 a multiple of 1256?
True
Is 63 a factor of 710514?
True
Is 65377 a multiple of 107?
True
Is 66450 a multiple of 50?
True
Is 5 a factor of 2508342?
False
Is 21 a factor of 20790?
True
Is 3 a factor of 984750?
True
Is 374166 a multiple of 351?
True
Is 36 a factor of 846504?
True
Is 6119008 a multiple of 944?
True
Is 8726185 a multiple of 745?
True
Does 15 divide 676541?
False
Is 4 a factor of 4773698?
False
Is 1272972 a multiple of 86?
True
Is 2129260 a multiple of 469?
True
Is 15263 a multiple of 6?
False
Is 147636 a multiple of 183?
False
Does 128 divide 339538?
False
Is 67 a factor of 115727?
False
Is 36 a factor of 44161?
False
Is 8 a factor of 3440?
True
Does 870 divide 1396535?
False
Is 324377 a multiple of 17?
True
Is 253657 a multiple of 16?
False
Is 1292231 a multiple of 443?
True
Does 40 divide 827508?
False
Does 68 divide 799068?
True
Is 5 a factor of 10856?
False
Is 7 a factor of 47236?
True
Is 59 a factor of 68617?
True
Does 101 divide 1324998?
False
Is 254 a factor of 231394?
True
Does 161 divide 272650?
False
Is 64 a factor of 189312?
True
Is 129 a factor of 1210020?
True
Is 198 a factor of 211464?
True
Is 135913 a multiple of 93?
False
Is 53126 a multiple of 4?
False
Is 140 a factor of 503440?
True
Is 62 a factor of 744124?
True
Does 242 divide 313702?
False
Does 22 divide 242994?
False
Is 28 a factor of 1090040?
True
Is 77 a factor of 1180872?
True
Is 6424276 a multiple of 122?
True
Does 514 divide 288639?
False
Is 37 a factor of 132154?
False
Is 138419 a multiple of 808?
False
Does 84 divide 134299?
False
Is 28 a factor of 378654?
False
Is 71864 a multiple of 52?
True
Is 3085000 a multiple of 56?
False
Does 9 divide 101744?
False
Does 677 divide 6990025?
True
Does 18 divide 11454352?
False
Does 328 divide 140481?
False
Is 208 a factor of 3092856?
False
Is 33666 a multiple of 181?
True
Does 105 divide 236237?
False
Is 7 a factor of 147623?
True
Is 1024212 a multiple of 274?
True
Does 81 divide 612279?
True
Does 6 divide 192?
True
Does 154 divide 11043648?
True
Does 529 divide 171925?
True
Does 95 divide 1022580?
True
Is 520 a multiple of 5?
True
Is 2552563 a multiple of 624?
False
Is 5 a factor of 10766?
False
Does 17 divide 2425663?
False
Is 318933 a multiple of 235?
False
Does 12 divide 1313589?
False
Is 48532 a multiple of 11?
True
Is 72 a factor of 28152?
True
Is 16 a factor of 350564?
False
Is 12 a factor of 2992724?
False
Does 776 divide 1468508?
False
Is 1681432 a multiple of 893?
False
Is 6 a factor of 58874?
False
Is 3193687 a multiple of 84?
False
Is 49 a factor of 1110287?
False
Is 328 a factor of 313405?
False
Does 23 divide 1769459?
True
Is 33544 a multiple of 9?
False
Does 7 divide 1698542?
False
Does 102 divide 1206558?
True
Is 99275 a multiple of 502?
False
Is 364 a factor of 23144?
False
Does 19 divide 2914106?
True
Is 868513 a multiple of 47?
True
Is 2336 a factor of 17802722?
False
Is 8 a factor of 583248?
True
Is 3691426 a multiple of 166?
False
Is 6 a factor of 19938?
True
Does 3 divide 10003?
False
Is 29 a factor of 4805102?
False
Is 14269 a multiple of 298?
False
Is 203820 a multiple of 5?
True
Is 52 a factor of 610764?
False
Is 564993 a multiple of 99?
True
Is 243 a factor of 174980?
False
Does 2 divide 131207?
False
Does 16 divide 624698?
False
Is 33 a factor of 1416963?
False
Does 55 divide 1878756?
False
Does 29 divide 5153125?
False
Is 392 a factor of 715400?
True
Is 39732 a multiple of 6?
True
Is 7935 a multiple of 33?
False
Does 33 divide 5516478?
True
Does 25 divide 45050?
True
Is 10 a factor of 177270?
True
Is 8568 a multiple of 68?
True
Is 35192436 a multiple of 17?
False
Does 27 divide 13393?
False
Is 263 a factor of 118613?
True
Is 123280 a multiple of 16?
True
Is 38 a factor of 14247?
False
Is 273 a factor of 4986664?
False
Does 165 divide 1833150?
True
Is 561 a factor of 9203766?
True
Does 69 divide 69977?
False
Is 4 a factor of 62380?
True
Is 7 a factor of 1167572?
True
Is 74829 even?
False
Does 180 divide 1682861?
False
Does 47 divide 1395101?
True
Is 1078544 a multiple of 526?
False
Is 43 a factor of 57730?
False
Does 18 divide 28962?
True
Does 31 divide 380864?
False
Is 690609 a multiple of 42?
False
Is 482688 a multiple of 18?
True
Is 2 a factor of 188715?
False
Does 50 divide 600600?
True
Is 5 a factor of 3686475?
True
Does 7 divide 56224?
True
Does 155 divide 825065?
True
Is 1283722 a multiple of 14?
False
Is 686208 a multiple of 128?
True
Is 590550 a multiple of 177?
False
Is 353 a factor of 98487?
True
Is 119 a factor of 6188?
True
Does 129 divide 69502?
False
Does 656 divide 6575088?
True
Is 70 a factor of 792452?
False
Does 366 divide 5742906?
True
Does 999 divide 19711269?
True
Is 27 a factor of 522510?
False
Is 703 a factor of 1850999?
True
Is 9 a factor of 1737900?
True
Is 846 a factor of 1474069?
False
Is 11363842 a multiple of 7?
True
Is 78 a factor of 525595?
False
Is 1950334 a multiple of 62?
True
Is 403199 a multiple of 48?
False
Does 188 divide 16985?
False
Does 305 divide 15250?
True
Is 48 a factor of 352224?
True
Does 15 divide 223125?
True
Does 6 divide 1086?
True
Is 215852 a multiple of 22?
False
Is 388 a factor of 1647448?
True
Is 1284470 a multiple of 11?
True
Does 6 divide 200562?
True
Is 173551 a multiple of 242?
False
Does 8 divide 4427748?
False
Does 7 divide 2133593?
True
Is 6004123 a multiple of 248?
False
Is 65 a factor of 2961140?
True
Does 16 divide 1978006?
False
Is 146177 a multiple of 163?
False
Is 59136 a multiple of 2?
True
Is 164252 a multiple of 22?
True
Does 16 divide 40736?
True
Is 102 a factor of 169729?
False
Is 1994472 a multiple of 6?
True
Is 1668314 a multiple of 11?
False
Is 482724 a multiple of 4?
True
Does 15 divide 845119?
False
Is 23418 a multiple of 3?
True
Does 173 divide 1016202?
True
Is 187924 a multiple of 22?
True
Does 22 divide 509850?
True
Does 580 divide 2488200?
True
Is 1041479 a multiple of 465?
False
Does 24 divide 311808?
True
Is 95514 a multiple of 82?
False
Is 2 a factor of 104311?
False
Does 194 divide 102140?
False
Is 8 a factor of 1107888?
True
Is 44 a factor of 300828?
True
Does 6 divide 1267683?
False
Is 481 a factor of 1193361?
True
Is 4487587 a multiple of 677?
False
Does 4 divide 11106?
False
Is 7380563 a multiple of 712?
False
Is 19 a factor of 29492?
False
Is 30 a factor of 3960570?
True
Does 20 divide 8438580?
True
Is 713 a factor of 5687139?
False
Is 969906 a multiple of 58?
False
Is 1117251 a multiple of 269?
False
Does 22 divide 9747155?
False
Is 108 a factor of 23666256?
True
Is 6512 a multiple of 44?
True
Is 4 a factor of 817478?
False
Is 258894 a multiple of 7?
False
Is 495124 a multiple of 25?
False
Is 12872 a multiple of 2?
True
Is 226 a factor of 229390?
True
Is 775 a factor of 420050?
True
Does 215 divide 72733?
False
Does 178 divide 2728372?
False
Is 36 a factor of 4349256?
False
Is 46 a factor of 421916?
False
Is 9 a factor of 12379104?
True
Is 9713015 a multiple of 23?
True
Does 4 divide 1650460?
True
Is 49 a factor of 21349?
False
Does 24 div
|
{
"pile_set_name": "DM Mathematics"
}
|
ided by 81?
46
What is the remainder when 1734 is divided by 33?
18
What is the remainder when 102 is divided by 23?
10
Calculate the remainder when 111 is divided by 102.
9
What is the remainder when 32 is divided by 14?
4
Calculate the remainder when 490 is divided by 10.
0
What is the remainder when 4547 is divided by 35?
32
What is the remainder when 9 is divided by 5?
4
What is the remainder when 78 is divided by 19?
2
Calculate the remainder when 428 is divided by 90.
68
What is the remainder when 2954 is divided by 87?
83
Calculate the remainder when 239 is divided by 30.
29
Calculate the remainder when 439 is divided by 9.
7
Calculate the remainder when 224 is divided by 28.
0
Calculate the remainder when 623 is divided by 39.
38
Calculate the remainder when 444 is divided by 28.
24
Calculate the remainder when 169 is divided by 11.
4
Calculate the remainder when 12184 is divided by 44.
40
Calculate the remainder when 533 is divided by 6.
5
What is the remainder when 92 is divided by 21?
8
What is the remainder when 266 is divided by 69?
59
What is the remainder when 468 is divided by 53?
44
Calculate the remainder when 487 is divided by 45.
37
Calculate the remainder when 448 is divided by 65.
58
Calculate the remainder when 2000 is divided by 29.
28
Calculate the remainder when 461 is divided by 58.
55
Calculate the remainder when 8 is divided by 2.
0
What is the remainder when 2105 is divided by 23?
12
What is the remainder when 3572 is divided by 3?
2
What is the remainder when 837 is divided by 42?
39
Calculate the remainder when 230 is divided by 16.
6
What is the remainder when 1133 is divided by 54?
53
What is the remainder when 5474 is divided by 74?
72
What is the remainder when 350 is divided by 27?
26
Calculate the remainder when 474 is divided by 68.
66
What is the remainder when 72 is divided by 32?
8
What is the remainder when 125 is divided by 40?
5
Calculate the remainder when 1461 is divided by 122.
119
What is the remainder when 1235 is divided by 192?
83
What is the remainder when 2221 is divided by 24?
13
What is the remainder when 2778 is divided by 10?
8
What is the remainder when 238 is divided by 190?
48
Calculate the remainder when 78 is divided by 16.
14
Calculate the remainder when 11659 is divided by 53.
52
What is the remainder when 2582 is divided by 63?
62
What is the remainder when 178 is divided by 20?
18
Calculate the remainder when 102 is divided by 32.
6
Calculate the remainder when 182 is divided by 89.
4
Calculate the remainder when 1814 is divided by 359.
19
Calculate the remainder when 48 is divided by 36.
12
What is the remainder when 187 is divided by 19?
16
What is the remainder when 208 is divided by 7?
5
What is the remainder when 21 is divided by 8?
5
What is the remainder when 232 is divided by 17?
11
What is the remainder when 153 is divided by 4?
1
What is the remainder when 673 is divided by 209?
46
Calculate the remainder when 329 is divided by 30.
29
What is the remainder when 1 is divided by 1?
0
What is the remainder when 459 is divided by 10?
9
Calculate the remainder when 5149 is divided by 224.
221
What is the remainder when 115 is divided by 9?
7
What is the remainder when 326 is divided by 41?
39
Calculate the remainder when 598 is divided by 63.
31
Calculate the remainder when 670 is divided by 34.
24
What is the remainder when 6479 is divided by 90?
89
Calculate the remainder when 388 is divided by 66.
58
Calculate the remainder when 6174 is divided by 27.
18
What is the remainder when 50 is divided by 28?
22
What is the remainder when 1171 is divided by 84?
79
Calculate the remainder when 222 is divided by 14.
12
Calculate the remainder when 1293 is divided by 118.
113
What is the remainder when 776 is divided by 344?
88
What is the remainder when 129 is divided by 58?
13
Calculate the remainder when 543 is divided by 68.
67
What is the remainder when 1041 is divided by 32?
17
What is the remainder when 933 is divided by 38?
21
Calculate the remainder when 19 is divided by 12.
7
Calculate the remainder when 2637 is divided by 24.
21
What is the remainder when 122 is divided by 16?
10
Calculate the remainder when 1374 is divided by 46.
40
Calculate the remainder when 347 is divided by 27.
23
Calculate the remainder when 68 is divided by 19.
11
Calculate the remainder when 28 is divided by 3.
1
What is the remainder when 145 is divided by 14?
5
Calculate the remainder when 507 is divided by 124.
11
Calculate the remainder when 1273 is divided by 327.
292
What is the remainder when 333 is divided by 67?
65
What is the remainder when 74 is divided by 19?
17
What is the remainder when 235 is divided by 65?
40
Calculate the remainder when 75 is divided by 17.
7
Calculate the remainder when 280 is divided by 71.
67
Calculate the remainder when 420 is divided by 60.
0
Calculate the remainder when 12 is divided by 3.
0
What is the remainder when 219 is divided by 57?
48
What is the remainder when 101 is divided by 17?
16
Calculate the remainder when 153 is divided by 149.
4
Calculate the remainder when 1522 is divided by 13.
1
Calculate the remainder when 42 is divided by 29.
13
What is the remainder when 247 is divided by 234?
13
Calculate the remainder when 8017 is divided by 33.
31
What is the remainder when 152 is divided by 26?
22
What is the remainder when 8997 is divided by 225?
222
Calculate the remainder when 626 is divided by 624.
2
Calculate the remainder when 609 is divided by 153.
150
What is the remainder when 13 is divided by 8?
5
What is the remainder when 1722 is divided by 23?
20
Calculate the remainder when 623 is divided by 16.
15
What is the remainder when 140 is divided by 33?
8
Calculate the remainder when 812 is divided by 101.
4
Calculate the remainder when 72 is divided by 21.
9
Calculate the remainder when 1537 is divided by 73.
4
What is the remainder when 9 is divided by 4?
1
Calculate the remainder when 50 is divided by 22.
6
Calculate the remainder when 165 is divided by 30.
15
What is the remainder when 5993 is divided by 499?
5
What is the remainder when 395 is divided by 9?
8
What is the remainder when 341 is divided by 6?
5
Calculate the remainder when 558 is divided by 112.
110
What is the remainder when 1319 is divided by 223?
204
What is the remainder when 63 is divided by 14?
7
Calculate the remainder when 406 is divided by 46.
38
What is the remainder when 7497 is divided by 15?
12
Calculate the remainder when 140 is divided by 27.
5
What is the remainder when 1821 is divided by 57?
54
What is the remainder when 95 is divided by 12?
11
Calculate the remainder when 221 is divided by 113.
108
What is the remainder when 130 is divided by 44?
42
What is the remainder when 37 is divided by 23?
14
What is the remainder when 655 is divided by 14?
11
Calculate the remainder when 1246 is divided by 29.
28
What is the remainder when 257 is divided by 41?
11
Calculate the remainder when 6037 is divided by 377.
5
Calculate the remainder when 16503 is divided by 21.
18
Calculate the remainder when 4215 is divided by 6.
3
Calculate the remainder when 4091 is divided by 46.
43
What is the remainder when 252 is divided by 32?
28
Calculate the remainder when 1569 is divided by 13.
9
Calculate the remainder when 261 is divided by 33.
30
Calculate the remainder when 136377 is divided by 15.
12
Calculate the remainder when 187 is divided by 13.
5
Calculate the remainder when 4636 is divided by 116.
112
Calculate the remainder when 2639 is divided by 66.
65
Calculate the remainder when 84 is divided by 17.
16
Calculate the remainder when 816 is divided by 408.
0
Calculate the remainder when 525 is divided by 259.
7
Calculate the remainder when 179 is divided by 15.
14
What is the remainder when 801 is divided by 81?
72
What is the remainder when 990 is divided by 111?
102
Calculate the remainder when 47 is divided by 22.
3
Calculate the remainder when 47 is divided by 44.
3
Calculate the remainder when 446 is divided by 18.
14
What is the remainder when 1049 is divided by 401?
247
Calculate the remainder when 1799 is divided by 1796.
3
Calculate the remainder when 145 is divided by 50.
45
Calculate the remainder when 456 is divided by 23.
19
What is the remai
|
{
"pile_set_name": "DM Mathematics"
}
|
s are there between 3:51 AM and 5:07 AM?
76
What is 667 minutes after 2:58 AM?
2:05 PM
How many minutes are there between 11:55 AM and 3:10 PM?
195
What is 719 minutes before 9:28 PM?
9:29 AM
How many minutes are there between 12:41 AM and 12:23 PM?
702
How many minutes are there between 9:20 PM and 9:22 PM?
2
How many minutes are there between 9:55 AM and 6:47 PM?
532
How many minutes are there between 1:36 AM and 5:19 AM?
223
How many minutes are there between 9:12 PM and 2:39 AM?
327
How many minutes are there between 11:01 AM and 9:11 PM?
610
How many minutes are there between 5:09 PM and 2:45 AM?
576
What is 690 minutes before 10:39 PM?
11:09 AM
How many minutes are there between 5:10 AM and 12:48 PM?
458
What is 97 minutes after 7:54 PM?
9:31 PM
How many minutes are there between 7:39 PM and 6:46 AM?
667
What is 90 minutes after 6:50 AM?
8:20 AM
How many minutes are there between 1:09 PM and 8:07 PM?
418
What is 374 minutes before 1:49 PM?
7:35 AM
How many minutes are there between 1:15 AM and 12:55 PM?
700
How many minutes are there between 10:34 AM and 6:27 PM?
473
What is 323 minutes before 4:52 PM?
11:29 AM
How many minutes are there between 8:08 AM and 2:46 PM?
398
What is 559 minutes before 3:15 PM?
5:56 AM
How many minutes are there between 11:34 PM and 10:44 AM?
670
How many minutes are there between 1:13 PM and 2:44 PM?
91
What is 697 minutes before 12:56 AM?
1:19 PM
How many minutes are there between 3:57 PM and 9:50 PM?
353
How many minutes are there between 3:05 PM and 10:30 PM?
445
How many minutes are there between 12:53 AM and 4:15 AM?
202
How many minutes are there between 10:47 PM and 7:00 AM?
493
How many minutes are there between 12:50 AM and 8:50 AM?
480
What is 539 minutes before 11:54 PM?
2:55 PM
How many minutes are there between 8:45 PM and 12:51 AM?
246
What is 688 minutes before 11:26 AM?
11:58 PM
How many minutes are there between 11:21 AM and 11:46 AM?
25
How many minutes are there between 4:22 AM and 2:34 PM?
612
What is 591 minutes after 1:57 PM?
11:48 PM
What is 309 minutes before 11:11 AM?
6:02 AM
What is 700 minutes after 4:46 AM?
4:26 PM
How many minutes are there between 9:01 AM and 3:00 PM?
359
How many minutes are there between 3:31 PM and 8:10 PM?
279
What is 466 minutes before 11:08 PM?
3:22 PM
How many minutes are there between 11:48 PM and 11:35 AM?
707
What is 459 minutes after 2:00 PM?
9:39 PM
How many minutes are there between 7:30 PM and 9:36 PM?
126
How many minutes are there between 4:52 AM and 12:53 PM?
481
How many minutes are there between 6:05 AM and 12:39 PM?
394
How many minutes are there between 8:30 PM and 12:36 AM?
246
How many minutes are there between 11:57 AM and 12:56 PM?
59
What is 60 minutes after 2:40 PM?
3:40 PM
How many minutes are there between 2:38 PM and 2:25 AM?
707
What is 115 minutes before 7:28 PM?
5:33 PM
How many minutes are there between 2:18 PM and 9:30 PM?
432
What is 462 minutes after 7:59 PM?
3:41 AM
How many minutes are there between 8:53 AM and 1:17 PM?
264
How many minutes are there between 7:46 PM and 8:13 PM?
27
How many minutes are there between 7:57 PM and 2:04 AM?
367
What is 42 minutes before 12:00 PM?
11:18 AM
What is 203 minutes before 8:31 AM?
5:08 AM
How many minutes are there between 4:45 PM and 2:41 AM?
596
How many minutes are there between 2:00 AM and 7:31 AM?
331
How many minutes are there between 4:59 PM and 6:31 PM?
92
How many minutes are there between 7:37 AM and 11:08 AM?
211
What is 401 minutes after 6:08 PM?
12:49 AM
How many minutes are there between 4:44 PM and 4:27 AM?
703
What is 194 minutes before 7:57 PM?
4:43 PM
How many minutes are there between 10:18 AM and 7:02 PM?
524
How many minutes are there between 7:53 PM and 10:27 PM?
154
How many minutes are there between 9:06 PM and 8:55 AM?
709
How many minutes are there between 8:24 PM and 4:49 AM?
505
How many minutes are there between 6:07 AM and 5:53 PM?
706
What is 472 minutes before 1:16 PM?
5:24 AM
How many minutes are there between 11:42 AM and 12:36 PM?
54
How many minutes are there between 3:03 PM and 9:34 PM?
391
What is 181 minutes before 10:08 PM?
7:07 PM
What is 670 minutes after 8:48 AM?
7:58 PM
What is 503 minutes after 11:34 AM?
7:57 PM
What is 42 minutes after 8:04 AM?
8:46 AM
How many minutes are there between 9:20 AM and 5:33 PM?
493
How many minutes are there between 4:13 AM and 3:38 PM?
685
What is 303 minutes before 9:44 PM?
4:41 PM
How many minutes are there between 4:50 AM and 12:50 PM?
480
What is 195 minutes after 7:41 AM?
10:56 AM
How many minutes are there between 2:32 PM and 1:57 AM?
685
What is 453 minutes after 6:10 PM?
1:43 AM
What is 305 minutes before 12:40 PM?
7:35 AM
What is 96 minutes after 6:31 AM?
8:07 AM
What is 493 minutes before 6:19 AM?
10:06 PM
What is 166 minutes after 8:34 AM?
11:20 AM
How many minutes are there between 12:45 PM and 7:10 PM?
385
How many minutes are there between 3:03 PM and 3:41 PM?
38
How many minutes are there between 7:00 AM and 8:07 AM?
67
How many minutes are there between 8:21 PM and 3:00 AM?
399
How many minutes are there between 9:22 PM and 2:11 AM?
289
How many minutes are there between 8:14 AM and 7:06 PM?
652
What is 418 minutes before 11:28 AM?
4:30 AM
How many minutes are there between 7:09 PM and 3:53 AM?
524
What is 448 minutes after 2:33 AM?
10:01 AM
What is 59 minutes after 12:34 AM?
1:33 AM
How many minutes are there between 10:22 AM and 2:17 PM?
235
What is 420 minutes before 10:29 PM?
3:29 PM
What is 704 minutes before 12:38 AM?
12:54 PM
What is 121 minutes after 2:57 AM?
4:58 AM
How many minutes are there between 2:43 AM and 1:50 PM?
667
What is 520 minutes before 3:03 PM?
6:23 AM
How many minutes are there between 3:54 PM and 4:42 PM?
48
How many minutes are there between 1:03 PM and 3:19 PM?
136
What is 570 minutes before 4:17 AM?
6:47 PM
How many minutes are there between 6:26 PM and 9:05 PM?
159
What is 473 minutes after 1:48 AM?
9:41 AM
What is 639 minutes before 4:47 PM?
6:08 AM
What is 353 minutes after 8:35 AM?
2:28 PM
What is 62 minutes after 2:20 PM?
3:22 PM
How many minutes are there between 11:37 AM and 11:24 PM?
707
How many minutes are there between 3:40 PM and 8:00 PM?
260
How many minutes are there between 9:47 AM and 11:47 AM?
120
How many minutes are there between 12:44 AM and 6:38 AM?
354
What is 582 minutes before 3:35 AM?
5:53 PM
How many minutes are there between 4:35 PM and 11:31 PM?
416
How many minutes are there between 2:24 AM and 9:02 AM?
398
What is 667 minutes before 1:23 AM?
2:16 PM
What is 186 minutes before 2:51 PM?
11:45 AM
What is 599 minutes before 6:23 AM?
8:24 PM
What is 689 minutes after 12:59 PM?
12:28 AM
What is 687 minutes before 8:57 AM?
9:30 PM
How many minutes are there between 7:07 PM and 4:14 AM?
547
What is 128 minutes after 1:36 AM?
3:44 AM
What is 25 minutes before 1:16 AM?
12:51 AM
How many minutes are there between 4:57 AM and 1:47 PM?
530
How many minutes are there between 8:45 AM and 1:37 PM?
292
How many minutes are there between 5:20 AM and 7:45 AM?
145
How many minutes are there between 8:42 AM and 11:29 AM?
167
What is 217 minutes after 10:20 AM?
1:57 PM
How many minutes are there between 7:48 PM and 10:12 PM?
144
How many minutes are there between 1:54 AM and 9:03 AM?
429
How many minutes are there between 9:26 AM and 4:29 PM?
423
How many minutes are there between 8:53 PM and 12:51 AM?
238
How many minutes are there between 11:00 PM and 1:50 AM?
170
How many minutes are there between 3:15 AM and 8:46 AM?
331
How many minutes are there between 9:25 AM and 2:38 PM?
313
What is 547 minutes after 1:37 PM?
10:44 PM
What is 6 minutes after 7:11 AM?
7:17 AM
How many minutes are there between 2:45 AM and 12:44 PM?
599
How many minutes are there between 11:02 PM and 1:40 AM?
158
What is 493 minutes before 10:31 PM?
2:18 PM
What is 470 minutes before 3:39 AM?
7:49 PM
How many minutes are there between 7:35 PM and 6:57 AM?
682
How many minutes are there between 12:24 PM and 2:41 PM?
137
How many minutes are there between 8:01 AM and 10:40 AM?
159
How many minutes are there between 1:08 PM and 3:27 PM?
139
What is 342 minutes after 11:43 PM?
5:25 AM
What is 472 minutes after 1:06 AM?
8:58 AM
What is 618 minutes after 5:02 AM?
3:20 PM
How many minu
|
{
"pile_set_name": "DM Mathematics"
}
|
from {a: 2, z: 2, f: 1, b: 2, p: 11, c: 1}. Give prob of picking 1 p and 1 c.
11/171
Two letters picked without replacement from klokockccckokk. Give prob of picking 1 l and 1 c.
4/91
Calculate prob of picking 2 i and 1 d when three letters picked without replacement from ifddgzpgi.
1/42
Four letters picked without replacement from lmmulllbl. What is prob of picking 1 b, 1 u, and 2 m?
1/126
What is prob of picking 2 b when two letters picked without replacement from {g: 2, b: 2, e: 1}?
1/10
Two letters picked without replacement from {s: 2, q: 5, e: 4}. What is prob of picking 1 q and 1 s?
2/11
What is prob of picking 1 q and 2 o when three letters picked without replacement from obdddqo?
1/35
Four letters picked without replacement from {h: 2, i: 3, j: 1, d: 3, f: 6}. Give prob of picking 2 i, 1 d, and 1 j.
3/455
Two letters picked without replacement from pppvvppyvppppppp. What is prob of picking 2 v?
1/40
Three letters picked without replacement from {z: 2, h: 1, s: 6, l: 4, p: 2}. What is prob of picking 2 s and 1 l?
12/91
Four letters picked without replacement from sysdyyssiid. What is prob of picking 2 y and 2 d?
1/110
Three letters picked without replacement from {z: 9}. What is prob of picking 3 z?
1
What is prob of picking 3 q when three letters picked without replacement from {f: 3, b: 3, o: 7, q: 2, a: 4}?
0
Two letters picked without replacement from ydvyiydyvyiiyiyydiy. Give prob of picking 1 d and 1 v.
2/57
What is prob of picking 2 e when two letters picked without replacement from {e: 8, z: 6, r: 1}?
4/15
What is prob of picking 1 w and 1 i when two letters picked without replacement from {q: 1, w: 2, i: 1, c: 1}?
1/5
Four letters picked without replacement from {w: 12, u: 4, x: 4}. What is prob of picking 1 x and 3 w?
176/969
Two letters picked without replacement from dfddddffddfff. Give prob of picking 2 d.
7/26
Three letters picked without replacement from {x: 12, b: 7}. Give prob of picking 1 x and 2 b.
84/323
Two letters picked without replacement from ippetieisepssstsbt. Give prob of picking 1 s and 1 e.
5/51
What is prob of picking 1 t, 2 n, and 1 c when four letters picked without replacement from tcncnntntntnhnhn?
8/65
What is prob of picking 1 f and 1 s when two letters picked without replacement from fffffvffsff?
9/55
What is prob of picking 2 d when two letters picked without replacement from {k: 1, l: 1, d: 2, r: 1}?
1/10
What is prob of picking 1 e, 1 f, and 1 k when three letters picked without replacement from {t: 1, k: 1, p: 1, f: 1, e: 10}?
5/182
Calculate prob of picking 1 i, 1 k, and 1 q when three letters picked without replacement from kikkiqikkki.
8/55
Calculate prob of picking 1 s and 1 r when two letters picked without replacement from rsrhhhsxrfs.
9/55
Calculate prob of picking 2 p and 2 m when four letters picked without replacement from mfmmffnmmnpmfpmm.
1/65
Four letters picked without replacement from oyoyooyyoo. What is prob of picking 4 y?
1/210
What is prob of picking 1 j and 2 t when three letters picked without replacement from {t: 5, j: 5}?
5/12
Calculate prob of picking 1 v, 1 g, and 1 j when three letters picked without replacement from {h: 1, f: 2, g: 5, b: 2, j: 1, v: 2}.
5/143
Three letters picked without replacement from {r: 3, v: 1, k: 1}. What is prob of picking 3 r?
1/10
Two letters picked without replacement from zzwwwwzzwwwwwwzzwzw. What is prob of picking 2 z?
7/57
Three letters picked without replacement from rlyrkcrkooycrkrryy. Give prob of picking 1 l, 1 k, and 1 c.
1/136
What is prob of picking 1 o and 2 v when three letters picked without replacement from ojvgvgoq?
1/28
What is prob of picking 2 e and 1 v when three letters picked without replacement from {e: 2, v: 2, a: 8, d: 3}?
2/455
Four letters picked without replacement from nvnnnvv. Give prob of picking 3 v and 1 n.
4/35
Two letters picked without replacement from ghhhghgl. Give prob of picking 1 g and 1 l.
3/28
What is prob of picking 2 i when two letters picked without replacement from {j: 8, a: 2, i: 5}?
2/21
Two letters picked without replacement from ggjgjpggjrggd. Give prob of picking 1 j and 1 r.
1/26
Three letters picked without replacement from fyyyyyyyyyyyyyyfyyyy. Give prob of picking 1 y and 2 f.
3/190
Three letters picked without replacement from hfdfhjff. Give prob of picking 1 h, 1 j, and 1 d.
1/28
Calculate prob of picking 4 f when four letters picked without replacement from fvzffffffffffz.
30/91
What is prob of picking 1 n and 3 o when four letters picked without replacement from {r: 4, n: 1, j: 4, o: 4, a: 1, w: 4}?
1/765
Calculate prob of picking 2 r when two letters picked without replacement from bdvdbveezvrr.
1/66
Calculate prob of picking 2 y when two letters picked without replacement from mmymmmmyymmymmmy.
1/12
Three letters picked without replacement from {n: 4, l: 15}. Give prob of picking 1 l and 2 n.
30/323
Two letters picked without replacement from fkkkkkkk. What is prob of picking 1 k and 1 f?
1/4
Four letters picked without replacement from {x: 9}. Give prob of picking 4 x.
1
Three letters picked without replacement from llblzbb. What is prob of picking 1 l and 2 b?
9/35
Calculate prob of picking 1 p, 1 b, and 2 f when four letters picked without replacement from {p: 4, f: 5, b: 1}.
4/21
Three letters picked without replacement from ejjfcreejjjgecgcjj. What is prob of picking 1 g, 1 c, and 1 f?
1/136
Calculate prob of picking 2 z and 1 j when three letters picked without replacement from {z: 4, j: 11, q: 4}.
22/323
Calculate prob of picking 1 w and 1 y when two letters picked without replacement from nvhyyrrwrrrrvnnnr.
1/68
Two letters picked without replacement from {o: 8, y: 1, a: 2, z: 1, l: 4}. Give prob of picking 1 a and 1 y.
1/60
What is prob of picking 2 n when two letters picked without replacement from {p: 1, t: 1, n: 2, d: 2, e: 1}?
1/21
Two letters picked without replacement from avivhiha. Give prob of picking 2 h.
1/28
Three letters picked without replacement from {q: 4, f: 3, z: 6, s: 4}. Give prob of picking 1 s and 2 z.
3/34
Calculate prob of picking 2 u when two letters picked without replacement from vbbqqubqquqbqbqbuq.
1/51
Calculate prob of picking 1 e and 1 a when two letters picked without replacement from mmmtkmeztmkamm.
1/91
Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {p: 9, q: 4, o: 2, m: 3}.
4/17
Four letters picked without replacement from eeetttee. What is prob of picking 4 e?
1/14
Two letters picked without replacement from {a: 1, q: 1, e: 9}. Give prob of picking 1 a and 1 e.
9/55
What is prob of picking 2 u and 1 y when three letters picked without replacement from {p: 5, j: 1, u: 2, r: 6, y: 3}?
3/680
Two letters picked without replacement from {a: 3, f: 4, b: 7, e: 5}. Give prob of picking 1 e and 1 a.
5/57
What is prob of picking 2 q when two letters picked without replacement from qyqqqyyqqqqqqq?
55/91
What is prob of picking 2 n and 1 r when three letters picked without replacement from {n: 7, r: 8, e: 1, y: 2, m: 1}?
56/323
Two letters picked without replacement from pgcoptp. What is prob of picking 1 p and 1 t?
1/7
Four letters picked without replacement from uumhvmjujujuujg. Give prob of picking 2 j, 1 h, and 1 u.
12/455
What is prob of picking 1 q and 1 n when two letters picked without replacement from {q: 3, n: 5}?
15/28
Calculate prob of picking 2 l, 1 f, and 1 v when four letters picked without replacement from {g: 5, v: 3, e: 4, f: 6, b: 1, l: 1}.
0
What is prob of picking 3 d and 1 o when four letters picked without replacement from {o: 9, d: 4, n: 4}?
9/595
Calculate prob of picking 1 o and 1 t when two letters picked without replacement from trxxkraaaaor.
1/66
Four letters picked without replacement from {a: 2, n: 7}. Give prob of picking 1 a and 3 n.
5/9
Calculate prob of picking 2 f and 1 h when three letters picked without replacement from {h: 3, n: 1, f: 3}.
9/35
Calculate prob of picking 2 y when two letters picked without replacement from {r: 1, y: 3, t: 1}.
3/10
Four letters picked without replacement from etteetettt. Give prob of picking 2 e and 2 t.
3/7
Four letters picked without replacement from {q: 2, b: 11, j: 1, p: 2}. What is prob of picking 1 b, 1 j, and 2 q?
11/1820
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
ivative of -3/5*l**2 + 8/5*l - 17 - y*l**3. Determine u, given that f(u) = 0.
-4, 1
Let z(m) be the third derivative of m**8/10080 + m**7/1260 - m**5/4 - m**3/3 + m**2 + 21. Let s(o) be the third derivative of z(o). Suppose s(h) = 0. What is h?
-2, 0
Suppose -5*u = -3*u + g - 11, 4*u = 4*g + 4. Let o(h) be the first derivative of -28 + 48*h - 7*h**3 + 3/4*h**u + 12*h**2. Determine z so that o(z) = 0.
-1, 4
Let l(g) = -57*g**2 + 280*g - 204. Let w be l(4). Suppose 12 = 5*m - 3. Let -3/5*n**m + 2/5*n - 1/5*n**w + 0 + 1/5*n**2 + 1/5*n**5 = 0. Calculate n.
-1, 0, 1, 2
Let m(a) be the third derivative of a**6/30 + 11*a**5/5 + 36*a**4 - 648*a**3 - 2419*a**2. Find o such that m(o) = 0.
-18, 3
Let z = -24 - 27. Let r = 65 + z. Let -2*w**4 - 6*w**2 - r*w**3 - 5*w**4 - 2*w**5 - 3*w**4 = 0. What is w?
-3, -1, 0
Let d(u) = -u**3 - 3*u**2 + 6*u - 15. Let s be d(-5). Factor -1 + 4*f - 3 - s - 4*f**3 + 12*f**2 + 1 - 4*f**4.
-4*(f - 1)**2*(f + 1)*(f + 2)
Let o(b) = 999*b**2 + 18*b - 19. Let n be o(1). Factor -40*q - n*q**2 + 95 - 23 + 1000*q**2.
2*(q - 18)*(q - 2)
Let j(l) be the third derivative of -l**5/150 - 7*l**4/15 - 515*l**2 - 2. Let j(g) = 0. What is g?
-28, 0
Factor 373*t - 2610 + 342*t - 5*t**2 + 600*t.
-5*(t - 261)*(t - 2)
Factor 0*g + 4/9*g**4 - 19/9*g**3 + 0 + 14/9*g**2 + 1/9*g**5.
g**2*(g - 2)*(g - 1)*(g + 7)/9
Let u(w) = -4*w**2 - 30*w + 827. Let p(o) = o**2 + 7*o - 207. Let n(m) = -26*p(m) - 6*u(m). Factor n(j).
-2*(j - 14)*(j + 15)
Let l(x) = 9*x**3 - 15*x**2 + 30*x - 16. Let s(a) = 7*a**3 - 15*a**2 + 32*a - 18. Let u(y) = -3*l(y) + 4*s(y). Determine p, given that u(p) = 0.
1, 2, 12
Let r be (6/9)/2 + ((-1419)/63)/(-43). Let -36/7*f**4 + 75/7*f**2 + r - 24/7*f**3 - 39/7*f = 0. Calculate f.
-2, 1/3, 1/2
Suppose 95*f - 112*f = -51. Suppose 0 = -3*w + 4*v + 56, -79 = -3*w - w + v. Find o, given that -15*o**5 - 210 + 20*o**f + 210 + 25*o**4 - w*o**2 = 0.
-1, 0, 2/3, 2
Let z(i) = i**3 - 12*i**2 + 3*i - 20. Let o be z(12). Factor o*f**3 + 19*f**3 + 143*f**2 - 10 - 5*f + 10*f**4 - 51*f**2 - 62*f**2.
5*(f + 1)**2*(f + 2)*(2*f - 1)
Factor -3*f**2 + 186933 + f**2 + 1108*f - 188039.
-2*(f - 553)*(f - 1)
Let f(p) be the third derivative of 1/240*p**6 + 0*p + 64*p**4 - 8192/3*p**3 - 4/5*p**5 + 0 - 89*p**2. Factor f(i).
(i - 32)**3/2
Suppose 0 = 3*w - k - 6, 2 = -5*w - 5*k + 12. Suppose -29 = -w*y - 5*c, 2*c = 5*y - 3*y - 36. Factor 10*f**4 - y*f**2 + 58*f**5 + 2*f**4 + f**2 - 54*f**5.
4*f**2*(f - 1)*(f + 2)**2
Let l(j) be the third derivative of j**5/540 + 11*j**4/216 + j**3/3 - 7835*j**2. Factor l(x).
(x + 2)*(x + 9)/9
Suppose -5*x - 11 = 2*h, 5*x + 24 + 15 = 2*h. Suppose -5*d + 216 = h*d. Find z, given that d + 22*z**2 + 31*z - 19*z**2 - 10*z = 0.
-6, -1
Solve -3/2*p**4 - 45*p + 0 + 12*p**3 + 69/2*p**2 = 0 for p.
-3, 0, 1, 10
Let b(j) be the second derivative of -j**5/5 - 8*j**4/3 + 8*j**3/3 + 64*j**2 + 116*j - 4. Factor b(y).
-4*(y - 2)*(y + 2)*(y + 8)
Let b be 2/8*(16 - 36). Let g(a) = a**2 - 12*a + 62. Let t(h) = 2*h**2 - 22*h + 123. Let q(d) = b*g(d) + 2*t(d). Determine o so that q(o) = 0.
8
Let m = 2179/14 - 6257/42. Determine h so that -m*h - 1/3*h**2 - 19/3 = 0.
-19, -1
Let l = -13 + 19. Determine c, given that -l*c - 100*c**2 + 97*c**2 + 2*c**3 + c**3 = 0.
-1, 0, 2
Let s be (-13)/((-208)/(-40)) - (-475)/10. Let r(o) be the third derivative of -2/45*o**5 + 0*o - 64/27*o**3 - 4/9*o**4 + s*o**2 - 1/540*o**6 + 0. Factor r(n).
-2*(n + 4)**3/9
Let y be 9/30 + 1717/1010. Factor -1/3*q**y + 2 - 1/3*q.
-(q - 2)*(q + 3)/3
Factor 0*s + 0 - 384492*s**2 + 383418*s**3 + 3/4*s**5 + 4293/4*s**4.
3*s**2*(s - 1)*(s + 716)**2/4
Let s be (32/10*(-75)/30)/(-7). Let r(j) be the second derivative of s*j**2 + 0 + 0*j**3 + 8*j - 1/21*j**4. Suppose r(k) = 0. Calculate k.
-2, 2
Suppose -4/3 - 73782496*q**4 - 177848/3*q**2 + 54700816/3*q**5 + 10221272/3*q**3 + 459*q = 0. Calculate q.
1/86, 4
Let q = 443 - 424. Let j be 33/7 - (-16 + q). Factor 8/7 + j*x - 20/7*x**2.
-4*(x - 1)*(5*x + 2)/7
Let h(j) = j**3 + 5*j**2 + 3*j + 11. Let t be h(-4). Determine q so that t*q**2 - 20*q**4 - 1 - 10*q**3 + 1 + 15*q**4 = 0.
-3, 0, 1
Suppose -2/25*h**2 - 896/25 - 88/25*h = 0. Calculate h.
-28, -16
Let z(h) = h**3 - 31*h**2 + 43*h - 390. Let o be z(30). Let c(i) be the third derivative of 0*i - 5/8*i**4 + o - 19*i**2 - 1/12*i**5 + 10/3*i**3. Factor c(f).
-5*(f - 1)*(f + 4)
Let m(q) = q**3 - q**2 - q + 2. Suppose -4*s - 10 = -9*s. Let a be m(s). Find t such that -a*t**3 + 12*t**4 - 9*t**4 + 0*t**2 + 17*t**4 - 4*t**2 - 12*t**5 = 0.
-1/3, 0, 1
Let d = -62971 - -125943/2. Factor -6*m - d*m**2 - 18.
-(m + 6)**2/2
Let l(p) be the second derivative of 4 - 11/3*p**3 + 2*p**2 + 5*p - 13/6*p**4. Find z such that l(z) = 0.
-1, 2/13
Let w(o) be the first derivative of -9*o**5 + 39*o**4/4 + 2*o**3 + 2434. Solve w(z) = 0.
-2/15, 0, 1
Let d(v) be the first derivative of -5*v**3/12 - 1805*v**2/4 - 651605*v/4 + 999. Suppose d(g) = 0. Calculate g.
-361
Let i = 153 + -151. Factor -q - q - 4*q - q**i.
-q*(q + 6)
Suppose -11*z = -5 - 50. Suppose -4*w + z*w - 6 = 0. Factor -1 - g**4 - 2*g**4 + 4*g**3 - 4*g**4 - 6*g**2 + 4*g + w*g**4.
-(g - 1)**4
Let p(a) be the first derivative of -a**3/33 - 27*a**2/22 - 170*a/11 - 3507. Suppose p(y) = 0. What is y?
-17, -10
Let q(x) = -7*x**2 - 28*x - 39. Let w(j) be the first derivative of -2*j**3 - 14*j**2 - 37*j - 262. Let h(u) = -5*q(u) + 6*w(u). Factor h(g).
-(g + 1)*(g + 27)
Let d = 165 - 162. Find k, given that 44*k**d - 5*k - 86*k**3 + 47*k**3 = 0.
-1, 0, 1
Suppose -4*n - a + 51 = 0, 3*n = a - 8 + 41. Suppose h = 4*u + 18, 9*u = -4*h + 4*u - n. Factor -5*l**2 + 13*l**h - 6*l**2 - 2.
2*(l - 1)*(l + 1)
Let w(g) be the third derivative of 0*g**4 + 0*g**6 - 5/336*g**8 + 45*g**2 + 0 + 0*g + 0*g**3 - 1/21*g**7 + 0*g**5. Factor w(d).
-5*d**4*(d + 2)
Let j be -4 + 564/84 + 11. Determine m, given that -26/7*m**2 - 72/7 - 2/7*m**3 - j*m = 0.
-6, -1
Let -19 + 20 - 115 - 143*v + 108*v + v**2 = 0. Calculate v.
-3, 38
Let a(l) be the second derivative of -l**4/102 + l**3/51 + 210*l**2/17 - l - 54. Suppose a(o) = 0. What is o?
-14, 15
Let z(v) = -56*v**3 + 0 + 36501*v**4 + 0 - 36528*v**4 + 32*v**2. Let a(c) = 7*c**4 + 14*c**3 - 8*c**2. Let r(j) = 9*a(j) + 2*z(j). Factor r(s).
s**2*(s + 2)*(9*s - 4)
Let t(h) be the first derivative of 0*h**2 + 1/84*h**4 + 2*h + 2/21*h**3 + 12. Let n(q) be the first derivative of t(q). Suppose n(d) = 0. Calculate d.
-4, 0
Find z, given that -9/2*z**2 + 0 - 3/2*z**3 + 0*z = 0.
-3, 0
Find p, given that -9*p**4 - 13*p**5 - 2 + 38*p - 7*p**4 + 11*p**5 - 8*p**2 - 8 + 34 - 36*p**3 = 0.
-4, -3, -1, 1
Let t(f) be the third derivative of f**5/78 - 3127*f**4/156 + 1250*f**3/39 - 439*f**2. Solve t(q) = 0.
2/5, 625
Let t be (19/((-342)/(-18)))/(0 + 3/6). Find a, given that 17/5*a**4 + 39/5*a**t + 37/5*a**3 + 4/5 + 4*a + 3/5*a**5 = 0.
-2, -1, -2/3
Let x(v) = 4*v**5 + 14*v**4 - 9*v**3 + 14*v**2 - 2*v - 3. Let q(i) = -7*i**5 - 24*i**4 + 19*i**3 - 28*i**2 + 5*i + 5. Let m(k) = 3*q(k) + 5*x(k). Factor m(g).
-g*(g - 1)**3*(g + 5)
Suppose 4*j = -4*q + 8, 3*q + q + 2*j - 12 = 0. Let h = -18/19 + 147/95. Factor 3/5*v**3 + 1/5*v**q - h*v + 1/5*v**2 - 2/5.
(v - 1)*(v + 1)**2*(v + 2)/5
Let y(c) = 2*c**2 - 5716*c + 2039188. Let i(n) = 15*n**2 - 45730*n + 16313506. Let z(m) = 2*i(m) - 17*y(m). Factor z(t).
-4*(t - 714)**2
Let v(h) be the first derivative of -h**6/6 - 10*h**5 - 339*h**4/2 - 2120*h**3/3 + 6479*h**2/2 - 3630*h + 735. Solve v(a) = 0.
-30, -11, 1
Let x be (-4)/18 - (-3295)/45. Let c = -70 + x. Find i such that -i**3 - 4*i**3 + 2*i**3 + 20*i**2 - 28*i - i**c + 12 = 0.
1, 3
Let o(h) be the second derivative of h**7/21 - 91*h**6/10 + 133*h**5/20 + 409*h**4/12 - 45*h**3/2 - 68*h**2 + 1819*h. Determine u so that o(u) = 0.
-1, -1/2, 1, 136
Let a(o) be the first derivative of -5*o**6/6 + 22*o**5 - 385*o**4/2 + 560*o**3 + 135*o**2/2 - 2430*o + 1462. Let a(s) = 0. Calculate s.
-1, 2, 3, 9
Let l be ((-5)/3 + 1)*(-2)/3342. Let c = 60194/95247 - l. Solve -2/19*b**2 + c - 10/19*b = 0.
-6, 1
Suppose 0 = -2*w + 3*t - 4, -3*w - 2*t + 14 + 6 = 0. Suppose -2*d + 2*s + 22 = 2, -w*s = -20. Factor 5*a**2 - d*a + 3 + 5*a**2 - 3.
5*a*(2*a - 3)
Let y = 183278/7 - 26180. Factor 20/7*u - 2/7*u**2 - y.
-2*(u - 9)*(u - 1)/7
Suppose -717409/3 - 1694/3*n - 1/3*n**2 = 0. Calculate n.
-847
Su
|
{
"pile_set_name": "DM Mathematics"
}
|
(-40)
-6
(-8538)/(-258986)*(15 - 2)
3/7
What is the value of 1730/(-2790) - (9/1116)/(19/(-152))?
-5/9
Calculate 9/(1575/295) - (-98)/(-70).
2/7
What is the value of (-3990)/39672*(6 + -2) + -5 + (-147)/(-29)?
-1/3
What is the value of (2 - (23 + -7 + 25/(-5))) + (-274)/(-30)?
2/15
Calculate (-1*(-2)/(-4))/(10 - 34000/3360).
21/5
What is the value of 1/(-2) + (-2873)/(-42) + 192/(-58464)*-29?
68
Evaluate 66/462 + 264/14.
19
What is 72/228384*122 - (-1815)/130?
14
What is (-261425124)/(-2011075) - 2/(-275)?
130
What is the value of (-6)/25 - 3072/51200?
-3/10
What is the value of (11 - (-1212)/(-108)) + (1803/945 - (-14)/(-49))?
7/5
Calculate (-2893)/(-5786)*2*-87.
-87
What is the value of ((-71703)/1023 - -70)*-561?
51
What is the value of (-622)/(-2799)*(-8235)/(-30)?
61
What is the value of 346/72 - 123354/23496?
-4/9
What is the value of ((-5)/20 - 3)/(((-5670)/(-48))/15 + -8)?
26
(-124)/12*23/(-69) - (-7)/(-21)
28/9
What is the value of (19 + 3)*2178/(-3993)?
-12
What is (-336206)/1158*(-72)/156?
134
Evaluate (-20 - (-420)/20)/((-5)/15) + 59.
56
What is the value of (-648)/120 + (-23085)/(-3610) + (-6)/(-57)?
11/10
Calculate 13/(-26) - (4974761/(-2157470) + (-9)/(-5)).
2/343
What is the value of ((-94)/(-8) - 6/(-24))*(-8160)/1920?
-51
Calculate ((2475/22 - -1)*-1)/(-1) + (-4)/(-8).
114
Calculate (-2576)/(-736)*306/21 - 101.
-50
What is the value of 805/(-266) - (662/(-331))/(2/3)?
-1/38
What is -10 - ((-40625)/(-2093) + -13)/((-45)/70)?
-2/69
What is the value of 5/(-3)*(-1551)/235 - (-889)/(-81)?
2/81
What is the value of ((-36)/8 + -2)/(5*6/60)?
-13
What is the value of (1/365)/((-11154)/260 - -43)?
2/73
What is (-92)/(-10)*(-253 + (-101689)/(-398))?
23
What is (-5365)/(-15022)*(-28)/6?
-5/3
((-1)/((-4)/5))/((-2580)/(-645))*42/5
21/8
Calculate (16/6 - (-4)/(-6))/(1829/10974).
12
Evaluate ((-4)/(-318))/((-51)/68*3072/864).
-1/212
Calculate 1 + (-465)/(-39) + ((-260)/(-16))/(560/(-448)).
-1/13
What is the value of 4 + ((-12)/31)/(410/(-6355))?
10
Calculate 20/(-28)*210/(-150) - 3.
-2
Evaluate 32/(-192) - (-2 - -4 - 2).
-1/6
Evaluate -22*(15/(-4))/((-114)/(-95) + 45/(-100)).
110
Evaluate ((-10)/(-42))/(3886/(-58290)).
-25/7
What is (-15)/2*((-8820)/27)/(-49)?
-50
(-47400)/(-26860)*51/18
5
151/(3020/240)*(6/(-10) - 244/(-40))
66
What is 2199834/(-57512)*(-4)/18?
17/2
Evaluate 432/(-66) + 6 + (-755730)/6842.
-111
What is the value of (-1 - (-267)/(-6))*((-9360)/(-546))/60?
-13
What is the value of 32/((8/28)/(242/(-847)))?
-32
Calculate ((-30)/(-210) + (-172)/28)*6.
-36
What is the value of 6*7/154 - 280*72/352?
-57
Evaluate ((-9750)/350 + 28)/((-5)/(-1155)).
33
What is the value of ((-10)/4)/((-19)/(-30932)*55)?
-74
Evaluate (417 - 3019442/7240) + ((-6834)/40)/3.
-57
Calculate (27/(-72) - (-2461)/(-1288)) + (4 - 2).
-2/7
What is (2/44)/((-132)/528) + (7839/(-594))/(-13)?
5/6
(-23 + 33)/(48/(-1992))*1/(-5)
83
What is the value of (8*(-5)/50)/((-51)/9792*24)?
32/5
What is 495/((-1275)/(-85)) + 8?
41
What is the value of ((420/(-25))/(-28))/(27/70)?
14/9
(7 - (5 - 2424/396)) + (-11 - -3)
4/33
(-11559902)/13999349 - (-2)/(-98)
-11/13
What is the value of -1*(-11)/((-220)/280) + 15?
1
Calculate (2/8 + (-2)/4)/(3192/331968).
-26
What is ((356160/(-504))/106)/((-8)/(-6))?
-5
What is the value of (-1 + 18/(-4))/(298881/(-81513))?
3/2
Evaluate (-67)/(-1407) - 1592/(-84).
19
What is the value of 118/(-200) + (-5 - (-990)/(-88) - (2 - 19))?
4/25
Calculate (-87 - (-7622159)/88011) + (-8)/(-22).
-2/63
What is the value of (-10)/(-15)*9 + 51129/(-8970)?
3/10
What is (4/(-18))/(280/630)*314/(-8321)?
1/53
What is 25/10 + (-7230)/90 + 48/(-288)?
-78
What is 2/((2 - 276/182)*18046/(-5156))?
-13/11
What is ((-2)/3 + (-26)/312*118)*4?
-42
Evaluate 31/(868/(-378)) + (-7 - -16).
-9/2
Calculate (-13)/((-78)/(-72)) - (474/32)/(450/(-360)).
-3/20
(-246)/1025*-25 + (63 - (0 + 1))
68
What is (-270)/81 - 5016/(-36) - (0 - (-12)/3)?
132
(8176/544 - 15)/(243/162)
1/51
Calculate 23/(2093/(-42)) - (-6)/((-1638)/5971).
-67/3
111192/(-9840) + (-18)/(-10)
-19/2
Evaluate 119847/(-2730) - (2 + -29) - -18.
11/10
What is the value of (1/(-1*44))/(1937*30/3120 - 18)?
-2/55
228*-45*84/15120
-57
What is the value of (-12)/58 + (-3399929)/(-91379)?
37
What is the value of (42/15)/(7988/140 + -57)?
49
((-66)/4 - -17)/(-24 + 82642/3444)
-123
What is ((-73874)/10308)/((-3)/18)?
43
What is (-58)/493 - (3 + 7192/136)?
-56
What is the value of ((-250)/(-12500) + (-2716)/800)/(9/(-264))?
99
318/3657 + 142/(-46)
-3
What is (-60)/4860*1857 + 23?
2/27
(((-36)/56)/(23/(-161)))/(39/(-598))
-69
Calculate (44946/(-2992) - -15)*90 - -2.
1/68
((-11)/(-12)*(-122)/(-671))/(2/(-660))
-55
Evaluate 86/(-1196)*-4 - (-7662)/(-16601).
-4/23
What is -1 + -25 - (-898017)/34290 - 6/20?
-1/9
What is the value of (124/(-589))/((-882)/399)?
2/21
Calculate ((-18)/234)/((-378)/936).
4/21
What is the value of (-21216)/(-416) + 193/(-4)?
11/4
Calculate ((-244)/24)/((-270)/(-324))*-8 - 8/(-20).
98
Calculate (49282/3005)/((6/(-10))/((51/4)/17)).
-41/2
Evaluate 5368/7744*-22*4.
-61
What is the value of -20 - (-1 + 9)*-2 - (-78)/20?
-1/10
(1 + (-30)/27)*3 - (-1590505)/(-23505)
-68
What is (9 - 7) + (-7 - -8 - 8) + (-4181)/(-703)?
18/19
2/3 + (1496/(-425) + 4)/((-9)/15)
-2/15
Calculate 35*((31 - (-4982)/(-159)) + 5/((-45)/6)).
-35
What is the value of (123 + 19 + -70)*(-6)/(-56)?
54/7
What is -3 + 31/9 - 4/30*(7 - 17)?
16/9
(210/4550)/(1/10)*(-78)/24
-3/2
Evaluate 25/(-40)*28556/16225.
-11/10
Calculate 9561/6374 + (-59)/(-2) + -1*(-2)/(-1).
29
(3268/543305)/(2/5)
2/133
Calculate -35 - 25220/(-715) - 261/(-11).
24
Calculate ((-571)/6)/(301/7) + 3042/1404.
-2/43
Calculate 348/(-12) + (-26)/117*18.
-33
Calculate (-65727)/545 + 122 + (-287)/5.
-56
Evaluate (3*8/(-48))/((-20)/(-70) - 32/14).
1/4
What is (4/(-20) - 3666/(-780))*-1*6?
-27
(-10143)/(-42) - 123 - 6/(48/20)
116
Evaluate (-239)/(35133/(-41748))*(-2)/8.
-71
Evaluate -2*(18/(-108))/(123/(-27)).
-3/41
What is 2716/42 + (-620)/93?
58
What is ((-145)/70 - -2)*(-546)/2340?
1/60
What is the value of 11 + -13 + (-27 - 7240/(-200))?
36/5
Evaluate -12 - -23 - ((-496)/(-28))/((-86)/(-301)).
-51
What is the value of 1/((121/(-12))/11) - (-1 - -1)?
-12/11
Calculate (-23)/((-9016)/(-5768)) - (0 - 15).
2/7
What is (116 + (-3300)/66)*(-2)/11 - (-11)/3?
-25/3
Evaluate (1 - -2)/2133*(-3599 + 3590).
-1/79
(92/(-16))/((-17)/68) - -6
29
What is 5*((-162)/(-5) + (-8 - 40) + 36)?
102
Evaluate ((-317)/951)/(1/33).
-11
What is the value of 0 - (1 + (-4012)/616) - (475/38 + -7)?
1/77
What is the value of (1818/101*6/(-9))/(-2 + 5)?
-4
Evaluate ((-1)/19)/(561/(-10659))*1*(-47 + 0).
-47
Evaluate (-3)/252*-4*(-770)/(-1320).
1/36
(367 - 348 - (-422)/(-22)) + -1 + 1504/44
33
Evaluate ((-47164)/(-1690) - 28)/((-3)/(-60))*-13.
24
Evaluate (-54)/231*(-41723)/(-11379).
-6/7
What is (-8)/(24/405)*(8 + (-17 - (-338)/39))?
45
What is the value of 1556/(-30) + (-29 + 36428/1260 - (-22)/(-495))?
-52
(-9 - 3 - -5) + -38 + (-10439)/(-231)
4/21
Evaluate 357/2550*90 + -13.
-2/5
What is 344 + -370 + (-23 - (2 - 2))?
-49
What is ((-50)/8)/(3*21/12096*24)?
-50
Calculate ((133/(-56))/(((-88)/32)/11))/(5/(-30)).
-57
What is the value of (-374)/(-476)*(-540)/(-2376)?
5/28
4/6*(6811/(-133) - (31 + -83))
10/19
(-9 - -7)*(-160)/25600
1/80
What is the value of 11495/(-57)*((-38)/(-11) - 4)?
110
What is (-3420)/245 - (-4438)/317?
2/49
Calculate (630/(-75))/((-176)/(-1760)).
-84
What is (300/(-91) - (-184)/1288)/((-20)/130)?
41/2
Calculate -96 - 843370/(-8789) - 804/987.
-6/7
What is (90 + -26 - 56)/(-4*(-1)/9)?
18
What is (-4784)/468 + 671/(-99) + 7?
-10
Calculate (-35748)/(-6951)*36/27.
48/7
Calculate (6/(-36))/(1021/(-33693)).
11/2
Calculate (739068/495)/22 - 68.
-2/15
(783 + 53)/11 - 32
44
11/3*(-15715)/(-49390)
7/6
-28 + (-4)/(-52)*481
9
Calculate (-7 + 6)*-8 - 214/27.
2/27
What is (-2 - (-85 + 48 - -49))/((-2)/(-4))?
-28
Evaluate 87*1 - (-3013 + 3024).
76
Calculate ((-27)/15)/3*5/4*4 + -55.
-58
What is the value of (-1)/((-27)/12) - (-96755)/4707?
21
What is (-2360)/(-168740)*(-13)/(-4)?
1/22
What is (-1 + (-7)/(-5))/((-658)/(-88830)) + 8?
62
What is the value of (-1)/10 + (-414)/(-8)*10*3/(-225)?
-7
What is (0 - (93 - 1))*(570/20 - 29)?
46
Calculate ((-30)/4)/((-23)/736*144).
5/3
Calculate ((-12)/(-3600)*24/
|
{
"pile_set_name": "DM Mathematics"
}
|
d by 266
-161
What is -60183 divided by -20061?
3
Divide 6 by 304882.
3/152441
Calculate 46 divided by -85900.
-23/42950
What is 2 divided by -42837?
-2/42837
Calculate -166644 divided by 27774.
-6
What is 45070 divided by 5?
9014
What is 1432284 divided by -12?
-119357
Divide 176 by -658.
-88/329
What is 624224 divided by -156056?
-4
What is 11769 divided by -99?
-3923/33
-11221110 divided by -5
2244222
What is -5187276 divided by 18?
-288182
What is -59145 divided by 41?
-59145/41
1374156 divided by -4788
-287
What is -568570 divided by -13?
568570/13
Divide 6 by -379843.
-6/379843
What is -3 divided by 152670?
-1/50890
Calculate 0 divided by -2504.
0
Calculate 17584 divided by 157.
112
Divide -225423 by -297.
759
Calculate 1126412 divided by -2.
-563206
Divide -13212 by -11.
13212/11
-6 divided by 8524
-3/4262
Calculate -25325 divided by -5065.
5
Divide -9542 by 26.
-367
Divide 141 by 10032.
47/3344
What is -826014 divided by 142?
-5817
442582 divided by -5
-442582/5
-6102 divided by -121
6102/121
What is 334976 divided by 10468?
32
-99114 divided by -2
49557
68152 divided by -8
-8519
-1204 divided by -2
602
497133 divided by 21
23673
What is -12 divided by 5507?
-12/5507
Calculate 26672 divided by 4.
6668
What is -795274 divided by -25654?
31
What is 5 divided by 431901?
5/431901
Calculate -192904 divided by -6.
96452/3
Calculate -23108 divided by -436.
53
116120 divided by -2
-58060
Divide 1093 by 378.
1093/378
Calculate -358716 divided by -334.
1074
What is -216695 divided by -5?
43339
Calculate -23 divided by -2959.
23/2959
Divide -231819 by 147.
-1577
Divide 197 by -639.
-197/639
Calculate -119842 divided by -2.
59921
Divide 44373 by 21.
2113
Divide 3963648 by 4764.
832
Divide -318059 by -45437.
7
3 divided by 188
3/188
Calculate 12871818 divided by 6.
2145303
Divide 155790 by 6.
25965
Calculate -6 divided by 7459.
-6/7459
-864 divided by -26
432/13
Calculate 5 divided by -193166.
-5/193166
Calculate 909454 divided by 91.
9994
4967 divided by -4967
-1
What is 1122 divided by 33?
34
Divide -292335 by 19489.
-15
What is 245410 divided by -49082?
-5
Calculate 31696 divided by -7924.
-4
Calculate 1630804 divided by 4.
407701
What is -2 divided by 676247?
-2/676247
Divide -212700 by -75.
2836
Calculate 215 divided by 142.
215/142
Calculate -21409 divided by 3.
-21409/3
What is 653676 divided by 163419?
4
Divide 19732 by 4.
4933
236028 divided by 1068
221
Divide -952696 by 119087.
-8
Divide -2 by 328983.
-2/328983
Calculate -402 divided by -69.
134/23
Calculate -431 divided by -290.
431/290
What is 96 divided by -388?
-24/97
Calculate -2324168 divided by 47432.
-49
-1477994 divided by -3
1477994/3
-708 divided by 5071
-708/5071
Divide 5313 by 1.
5313
Divide 1528932 by -6.
-254822
Divide 1133874 by 4.
566937/2
Divide 620 by -20.
-31
What is -1417104 divided by 312?
-4542
Calculate -230 divided by 3614.
-115/1807
-14196 divided by 182
-78
Calculate 23604 divided by -28.
-843
-171537 divided by 171537
-1
Divide -12 by -80.
3/20
What is 1099020 divided by -274755?
-4
-15 divided by 22559
-15/22559
-75280 divided by 5
-15056
What is -155 divided by -33?
155/33
Calculate 53892 divided by 4491.
12
Divide 27951 by -60.
-9317/20
What is -110424 divided by 6?
-18404
Calculate -1024 divided by 1.
-1024
Divide -610 by 862.
-305/431
What is 397465 divided by 79493?
5
What is 18 divided by -109227?
-6/36409
25 divided by 49018
25/49018
11 divided by -1173
-11/1173
-2 divided by -19162
1/9581
Calculate 21312 divided by -333.
-64
46032 divided by 5
46032/5
Divide 161 by 23055.
161/23055
Divide 198246 by -141.
-1406
Divide 67150 by -25.
-2686
What is -21369 divided by -1?
21369
Calculate -1941 divided by -647.
3
What is -945952 divided by -1?
945952
What is -181888 divided by 45472?
-4
Calculate 1 divided by -158.
-1/158
23557 divided by 5
23557/5
-272 divided by 5007
-272/5007
What is -37 divided by -1413?
37/1413
What is 5 divided by -49143?
-5/49143
What is -479732 divided by -4?
119933
Calculate -37 divided by 3384.
-37/3384
-23 divided by -1268
23/1268
What is 34425 divided by 17?
2025
1 divided by -92503
-1/92503
-17 divided by -3165
17/3165
-3 divided by 6810
-1/2270
-3 divided by 17255
-3/17255
Divide -6416 by -2.
3208
-459162 divided by 229581
-2
Divide 193185 by -45.
-4293
Calculate 3600489 divided by -23.
-156543
What is 201305 divided by -65?
-3097
Calculate 1752 divided by 20.
438/5
Calculate 23716 divided by -98.
-242
Calculate -1071 divided by 1532.
-1071/1532
Divide -613808 by -227.
2704
-858534 divided by 6
-143089
What is -20896 divided by -16?
1306
What is 189578 divided by 2?
94789
-2 divided by 585480
-1/292740
Calculate -16853 divided by 1.
-16853
Divide 251328 by 1.
251328
Divide 12 by 12818.
6/6409
What is -935 divided by -252?
935/252
-2 divided by 36143
-2/36143
Calculate 3034 divided by -114.
-1517/57
Divide 31255 by -893.
-35
Divide 2 by 7970.
1/3985
0 divided by -106067
0
Divide -1010691 by -37433.
27
Calculate 750909 divided by 129.
5821
What is 3437 divided by -12?
-3437/12
Calculate -16440 divided by -12.
1370
-2 divided by 27611
-2/27611
What is 165869 divided by -3?
-165869/3
Calculate 6 divided by -39382.
-3/19691
555401 divided by -7
-79343
-6626 divided by 10
-3313/5
Calculate 3 divided by 1106170.
3/1106170
Divide -98761 by 98761.
-1
Calculate 403369 divided by 4.
403369/4
Calculate 333 divided by 1522.
333/1522
What is -9408 divided by 3?
-3136
Calculate -37 divided by 4911.
-37/4911
Divide 588189 by -196063.
-3
What is 720579 divided by 3?
240193
Divide -655424 by -836.
784
Divide -2 by -771317.
2/771317
Divide 49 by -6368.
-49/6368
Divide -44 by -39935.
44/39935
105742 divided by 2
52871
Divide 0 by -996289.
0
What is -792 divided by 914?
-396/457
What is 172647 divided by -3?
-57549
What is 784112 divided by -16?
-49007
What is 89770 divided by -47?
-1910
Calculate -448 divided by -208.
28/13
Calculate 490544 divided by 21328.
23
Divide 1 by -16703.
-1/16703
Divide -10427 by -6.
10427/6
Calculate 159988 divided by -4.
-39997
Divide -145820 by 10.
-14582
What is -2 divided by 33488?
-1/16744
What is -1 divided by -19264?
1/19264
What is 183 divided by -234?
-61/78
What is 41 divided by -4088?
-41/4088
What is 891038 divided by 146?
6103
2 divided by 74839
2/74839
Calculate 24520 divided by -3.
-24520/3
Calculate 50 divided by 45.
10/9
What is 2 divided by 9040?
1/4520
-18086264 divided by -4
4521566
Calculate 891462 divided by -1039.
-858
Divide 49 by 9133.
49/9133
What is 0 divided by 19807?
0
What is -4 divided by -104315?
4/104315
What is 1382 divided by 2?
691
Divide 560499 by -2.
-560499/2
Divide -532392 by -38028.
14
What is 0 divided by 188029?
0
What is -233030 divided by -33290?
7
Divide -46884 by 3.
-15628
What is -38664 divided by -5?
38664/5
What is 105 divided by -748?
-105/748
What is 74420 divided by -122?
-610
What is 48960 divided by -1360?
-36
Calculate 2523704 divided by -4.
-630926
Calculate 7 divided by -41086.
-7/41086
What is 45265 divided by 1?
45265
Calculate 201036 divided by 11.
18276
-4892 divided by -80
1223/20
Calculate 460117 divided by 460117.
1
Divide 6212462 by -2.
-3106231
What is 1558492 divided by -19006?
-82
What is -67768 divided by -4?
16942
What is 2717 divided by 5?
2717/5
Calculate -7 divided by 3700.
-7/3700
Calculate 3568 divided by 29.
3568/29
What is -13560 divided by 1356?
-10
Calculate 0 divided by -98375.
0
Divide 750912 by 62576.
12
What is 358734 divided by 6?
59789
Divide -21 by 109.
-21/109
What is 134 divided by -7298?
-67/3649
Calculate -2953680 divided by -9528.
310
-6 divided by -263164
3/131582
Calculate 5 divided by -62209.
-5/62209
Divide -26934 by 201.
-134
Divide 7 by 16624.
7/16624
Divide 8413995 by 5.
1682799
-7 divided by -7057
7/7057
Divide -2519 by 4.
-2519/4
What is -6511095 divided by -45?
144691
Divide -87216 by -158.
552
Calculate 137 divided by -56.
-137/56
Divide 32581398 by 6.
5430233
What is -2361 divided by 19?
-2361/19
15429 divided by 10
15429/10
Calculate 0 divided by -815096.
0
Calculate -28290 divided by 41.
-690
-2061 divided by -376
2061/376
What is -3038 divided by 225?
-3038/225
0 divided by 58856
0
What is -180264 divided by -8584?
21
Calculate -242394 divided by -40399.
6
229518 divided by -12751
-18
Calculate -20858 divided b
|
{
"pile_set_name": "DM Mathematics"
}
|
y + 233*y = -104*y - 5994 for y.
-9
Solve 1260 = 1018*x - 1102*x for x.
-15
Solve 106*i = 9*i + 50*i - 1269 for i.
-27
Solve 163 = 48*x - 315 - 242 for x.
15
Solve -2132 + 215 = -71*z for z.
27
Solve 291 - 1026 = -17*i - 18*i for i.
21
Solve 81*h + 550 = 226 for h.
-4
Solve 422 + 323 + 535 = -256*s for s.
-5
Solve 287*a - 7 + 2081 + 222 = 0 for a.
-8
Solve 5669*x - 900 = 5609*x for x.
15
Solve -391*y + 362*y = 195 + 182 for y.
-13
Solve 28*v - 626 + 514 = 0 for v.
4
Solve 0 = k + 22*k + 87 + 166 for k.
-11
Solve 287 + 250 = 27*m + 105 for m.
16
Solve 104 = 347*w - 399*w for w.
-2
Solve 1629 - 5746 = 119*s + 60*s for s.
-23
Solve -39*v = 20*v - 295 for v.
5
Solve -117 = -132*y + 119*y + 52*y for y.
-3
Solve 33*a + 348 = 222 - 468 for a.
-18
Solve 834*x - 208 = 860*x for x.
-8
Solve -41*p + 6380 = 7282 for p.
-22
Solve 251*s - 170*s = 567 for s.
7
Solve -1264*c = -1291*c - 864 for c.
-32
Solve 1536 = 23*z + 1835 for z.
-13
Solve 467 = -66*s - 721 for s.
-18
Solve 86*m + 13192 = 12160 for m.
-12
Solve 2*t + 14 = -24*t + 12*t for t.
-1
Solve 0 = -100*i + 40 - 89 + 349 for i.
3
Solve 9*f = 6*f + 27 for f.
9
Solve 145 = -166*p + 381*p - 186*p for p.
5
Solve 3*c + 6*c + 28 = 109 for c.
9
Solve -218*l = -162*l + 784 for l.
-14
Solve 0*l = 38*l + 38 + 152 for l.
-5
Solve 0 = 29*p + 97 - 184 - 87 for p.
6
Solve 144 - 1324 = 118*y for y.
-10
Solve 14*u = -14*u - 168 for u.
-6
Solve 3996 - 4003 = -7*a for a.
1
Solve 0 = 61*q + 118*q + 1201 - 3886 for q.
15
Solve 20*i + 277 = -62 + 39 for i.
-15
Solve 19*f - 5157 = -122*f - 50*f for f.
27
Solve -824*a - 65 = -798*a + 39 for a.
-4
Solve 25*x = 2*x + 322 for x.
14
Solve -2*s - 1987 = -1985 for s.
-1
Solve -194 = -120*l - 74*l for l.
1
Solve -15*n = 2*n - 129 + 384 for n.
-15
Solve 64*y - 1298 + 146 = 0 for y.
18
Solve 289113*a - 289124*a + 33 + 44 = 0 for a.
7
Solve -549*b - 900 = -624*b for b.
12
Solve p - p + 40 = 10*p for p.
4
Solve 4438*s + 441 = 4501*s for s.
7
Solve 0 = 13*o - 474 + 578 for o.
-8
Solve 21*z - 92*z + 451 = -30*z for z.
11
Solve 1199 = 481*s + 6971 for s.
-12
Solve 7974 = -11*p + 7996 for p.
2
Solve 151*b = 1005 + 534 - 482 for b.
7
Solve -224*y - 414 = -270*y for y.
9
Solve -28*j + 289 = -218 + 87 for j.
15
Solve -116 = 9*i - 32*i + 68 for i.
8
Solve 646*m - 4332 - 6650 = 0 for m.
17
Solve -2*b + 90 = 12*b + 230 for b.
-10
Solve -3519 = -266*h + 1003 for h.
17
Solve -1501*t + 1489*t + 72 = 0 for t.
6
Solve 332*b = 11*b + 7383 for b.
23
Solve 1365 = 167*j + 29 for j.
8
Solve 117 = 23*p - 12*p + 7 for p.
10
Solve 18*x - 27*x - 144 = 0 for x.
-16
Solve -58 = 19*u - 116 - 94 for u.
8
Solve 29*d + 365 = -12 for d.
-13
Solve 0 = -86*a + 66 + 364 for a.
5
Solve -336 = 156*h - 212*h for h.
6
Solve c = -16*c - 28*c + 810 for c.
18
Solve -240*x - 3702 = 377*x for x.
-6
Solve 4*q = -4853 + 4889 for q.
9
Solve 0 = 3422*n - 2909*n for n.
0
Solve -9*y + 31 + 36 = 121 for y.
-6
Solve -17*g + 57 + 84 = -12 for g.
9
Solve -1396*g + 33 = 1357*g - 2720*g for g.
1
Solve 40 = -274*t + 269*t for t.
-8
Solve 67*n + 682 = 1824 + 935 for n.
31
Solve -400*h = -h - 31*h - 2944 for h.
8
Solve -8*m - 20 - 104 = 36 for m.
-20
Solve -31*b - 478 = 162*b + 46*b for b.
-2
Solve 0*v - 51 - 27 = 6*v for v.
-13
Solve 245*g - 267*g - 1355 = 249*g for g.
-5
Solve 0 = 4*b - 12 - 44 for b.
14
Solve 756 = 528*o - 591*o for o.
-12
Solve -397 = 280*l - 677 for l.
1
Solve 137169*d - 137383*d = 6206 for d.
-29
Solve 29*c - 31*c - 123 = 121*c for c.
-1
Solve 0 = 3*q - 1966 + 1951 for q.
5
Solve -266*h = 135*h + 4812 for h.
-12
Solve -18*u = -92 - 142 for u.
13
Solve 27*q - 32 = -56 + 51 for q.
1
Solve 399 = -50*g + 6*g - 13*g for g.
-7
Solve 94*q + 648 = -122*q for q.
-3
Solve -35*v + 101*v + 1440 = -14*v for v.
-18
Solve 8 = 2*b + 3*b - 6*b for b.
-8
Solve -47*n - 7707 = -414*n for n.
21
Solve -20*i = -25*i - 32*i - 296 for i.
-8
Solve -1970 = -145*o - 665 for o.
9
Solve -28*k + 33 - 243 = -7*k for k.
-10
Solve -27*g + 130 = -207 - 95 for g.
16
Solve 370 - 215 = -20*t - 325 for t.
-24
Solve -29*z + 44 - 30 = -73 for z.
3
Solve 1811*r - 7943 = -245*r + 281 for r.
4
Solve -1259*z + 1982*z - 14460 = 0 for z.
20
Solve 0 = -22*x + 15*x - 72*x - 948 for x.
-12
Solve -531 = 58*s + 706*s + 10165 for s.
-14
Solve 136*y + 2640 = -40*y for y.
-15
Solve 195 = -202*p + 1003 for p.
4
Solve 348 = -456*d + 440*d - 148 for d.
-31
Solve -1083 + 523 = 40*g - 12*g for g.
-20
Solve 8 = 16*f + 23 + 17 for f.
-2
Solve 693*d - 697*d - 40 + 4 = 0 for d.
-9
Solve -9*b + 641 - 537 = 4*b for b.
8
Solve 1577*h = -16668 - 2256 for h.
-12
Solve -410 = -19*k + 39*k - 110 for k.
-15
Solve 4306 - 3460 = 94*a for a.
9
Solve 30*w - 330 = 12*w + 48*w for w.
-11
Solve -876*k + 1297 + 19727 = 0 for k.
24
Solve 0 = 245*h + 570 + 1390 for h.
-8
Solve 13966 + 4026 = -692*c for c.
-26
Solve -93*u - 39 = 54 for u.
-1
Solve -29*g = 32*g - 41*g - 100 for g.
5
Solve 0 = -0*y + 8*y + 7*y + 45 for y.
-3
Solve -83*g + 75*g - 39 = 97 for g.
-17
Solve 404*w = -104*w for w.
0
Solve -553*i = -302*i - 3514 for i.
14
Solve -68*i = 217*i + 17*i - 9362 for i.
31
Solve 31*d - 57 = 284 for d.
11
Solve 0 = -37*t + 229 + 30 for t.
7
Solve 51 = -5*i - 14 for i.
-13
Solve -54*g + 37*g - 17 = 289 for g.
-18
Solve 505 - 530 = 66*h + 1163 for h.
-18
Solve -107 = -4*t - 123 for t.
-4
Solve 103*f + 61 = -182 - 272 for f.
-5
Solve 0 = 14*k - 253 + 140 + 155 for k.
-3
Solve -18106 = -12*a - 18154 for a.
-4
Solve -816 = 79*r - 31*r for r.
-17
Solve -633*s = 1402 - 384 + 7211 for s.
-13
Solve -22*q = 4740 - 4344 for q.
-18
Solve 115*m - 267*m + 368 = -129*m for m.
16
Solve -1031 + 101 = u - 94*u for u.
10
Solve -538 + 487 = 10*d + 7*d for d.
-3
Solve 84 = -4*v + 11*v for v.
12
Solve 32*v + 98*v - 2912 = -52*v for v.
16
Solve 0 = 1543*q - 3332 + 546 - 1843 for q.
3
Solve 67*v - 549 = -21*v + 27*v for v.
9
Solve 353*m + 78*m - 3871 - 4749 = 0 for m.
20
Solve -91*b = -1259 - 874 - 324 for b.
27
Solve 0 = -1180*o + 18186 + 1874 for o.
17
Solve -101*u - 206 = 105*u for u.
-1
Solve 0 = -16*m - 6*m + 21*m - 6 for m.
-6
Solve 163 + 150 = w + 324 for w.
-11
Solve -547*n + 560*n - 299 = 0 for n.
23
Solve 0 = 290*t + 167*t + 6855 for t.
-15
Solve -34561*m - 560 = -34596*m for m.
16
Solve -2242 = -415*s + 8548 for s.
26
Solve 80*p - 2 = -53 - 29 for p.
-1
Solve 0 = 24*f - 21 - 99 - 120 for f.
10
Solve -73*z - 870 = -160*z for z.
10
Solve -96*b + 7 + 12 - 19 = 0 for b.
0
Solve 332 = 37*s + 295 for s.
1
Solve 0 = -181*o + 42*o + 5282 for o.
38
Solve -2737 = 314*r + 403 for r.
-10
Solve 5363*i - 5417*i - 648 = 0 for i.
-12
Solve -14873 = 29*m - 14960 for m.
3
Solve -262 - 237 = 35*f - 114 for f.
-11
Solve 7105 - 1597 = 612*k for k.
9
Solve -64*v + 192 + 272 = -112 for v.
9
Solve -3821 = 467*j - 1019 for j.
-6
Solve -2082*r + 2104*r + 110 = 0 for r.
-5
Solve 39*u = 105*u + 264 for u.
-4
Solve 696 = 195*g + 2451 for g.
-9
Solve 5136 = 4*c - 599*c + 1566 for c.
-6
Solve 16956*o - 100 = 16981*o for o.
-4
Solve 336 = -136*d + 112*d for d.
-14
Solve 63*a + 875 = 188*a for a.
7
Solve 424*q + 391*q + 332*q - 12617 = 0 for q.
11
Solve 26 - 338 - 368 = -40*m for m.
17
Solve 2819*m + 1100 = 2919*m for m.
11
Solve -49*x - 181 = 358 for x.
-11
Solve 53*o + 126*o + 1181 = -1683 for o.
-16
Solve 10*l - 15*l = 5*l - 90 for l.
9
Solve 0 = -41*n + 129*n + 63*n - 2265 for n.
15
Solve -70 + 8 + 6 = -28*d for d.
2
Solve 5562 = 1597*m + 1354 - 6971 for m.
7
Solve 8*j - 20 - 20 = 48 for j.
11
Solve -579*u = -174*u - 1388 - 1447 for u.
7
Solve 0 = 632*n - 620*n - 36 for n.
3
Solve 1376*h - 1421*h + 135 = 0 for h.
3
Solve 0 = -1383*j + 1224*j + 2862 for j.
18
Solve 158*x - 25*x + 692*x - 21450 = 0 for x.
26
Solve -6*m = -89*m + 913 for m.
11
Solve 26180 = 5*w + 26040 for w.
28
Solve 60*r - 30*r + 780 = -35*r for r.
-12
Solve 519 = 37*o + 60*o + 2265 for o.
-18
Solve -599802*b + 38 = -599804*b for b.
-19
Solve 39*u + 59*u = -28 - 70 for u.
-1
Solve 226*o - 273*o + 1116 = 364 for o.
16
Solve 37*o + 120 = 102*o - 25*o for o.
3
Solve 111*o + 78*o - o + 3196 = 0 for o.
-17
Solve 48*n - 1296 = -96*n for n.
9
Solve -153*n - 523 = 694 + 466 for n.
-11
Solve 28*i + 19*i = -i - 432 for i.
-9
Solve 182*r + 1770 + 232 = 0 for r.
-11
Solve 20*j + 5*j = -4*j - 38*j for j.
0
Solve -16*b - 113 = -430 + 93 for b.
14
Solve -84*y = -1380 + 624 for y.
9
Sol
|
{
"pile_set_name": "DM Mathematics"
}
|
-1 (d) 10
b
What is the second smallest value in -9, 7/8, 4, -1/5, -3?
-3
Which is the second biggest value? (a) 4 (b) 6 (c) 36
b
What is the smallest value in 37, -13, 1/2, -2/9?
-13
Which is the third biggest value? (a) -7 (b) -5 (c) 1
a
What is the third smallest value in -3/7, 27, -0.15?
27
Which is the smallest value? (a) 4 (b) 1/36509 (c) -1
c
Which is the second smallest value? (a) -26 (b) 0.1 (c) 1/4
b
What is the smallest value in 10, -2/11, -0.3?
-0.3
What is the third smallest value in 21.1, -0.4, 7, 3?
7
What is the second smallest value in 7, 5, -0.1, 1/4, -3?
-0.1
What is the third smallest value in 1, 0.2, -2/11, -22?
0.2
Which is the third smallest value? (a) 0.5 (b) -5 (c) 0.4
a
Which is the biggest value? (a) 0 (b) -13 (c) 5 (d) -1/4
c
Which is the smallest value? (a) -4 (b) -6/5 (c) -0.6 (d) 0.4
a
Which is the third biggest value? (a) 1 (b) 195/7 (c) 1/9
c
Which is the smallest value? (a) 2/9 (b) 0.177 (c) 1 (d) -3
d
What is the biggest value in 2/7, -5, -0.4, 3, -100?
3
Which is the biggest value? (a) 14/53 (b) 4 (c) -0.1
b
What is the biggest value in -5, -1/4, 0, -10?
0
Which is the second biggest value? (a) 1/4 (b) -55/13 (c) 0.1 (d) -0.5
c
Which is the smallest value? (a) 3 (b) 302 (c) -1/2
c
What is the fifth biggest value in -1/6, 8, 9, -2, -3?
-3
Which is the second biggest value? (a) -0.1 (b) -1 (c) -102
b
What is the fourth smallest value in -5, -0.1, -27.6, 1/5, 1?
1/5
Which is the biggest value? (a) -4/7 (b) -5 (c) -0.202 (d) -1/11 (e) 4
e
Which is the second biggest value? (a) 0.5 (b) 4 (c) -0.19 (d) 2/9
a
Which is the biggest value? (a) 1/4 (b) -12 (c) 12 (d) 0.2
c
Which is the third biggest value? (a) -2/9 (b) 5 (c) -0.07 (d) -1/6 (e) -0.5
d
Which is the third smallest value? (a) -1/3 (b) 294 (c) -4 (d) -1
a
Which is the third biggest value? (a) 3 (b) 8/3 (c) 2
c
Which is the second smallest value? (a) 0 (b) -11 (c) -1.69
c
What is the second biggest value in 10, 1/4, -2/45?
1/4
Which is the third smallest value? (a) 0.1 (b) 1 (c) 0.07 (d) -2/21
a
Which is the biggest value? (a) 6 (b) -4 (c) 27/5 (d) -2/5 (e) 0
a
Which is the second biggest value? (a) -0.3 (b) 9/5 (c) 29
b
What is the second smallest value in 3/4, -3, 3/116, 3?
3/116
What is the second smallest value in -0.9, -5, -2/25?
-0.9
What is the fourth biggest value in 4/7, -5, -0.4, 3?
-5
What is the smallest value in -0.1, -2, 59, 1?
-2
What is the smallest value in 3, -4/45, 3/2?
-4/45
What is the third smallest value in 3/7, 11, -5, -4, -11/5?
-11/5
What is the biggest value in 48, 0.5, 2/5, -1/4, 2/11?
48
What is the biggest value in 2/13, -140, 0.2?
0.2
Which is the fourth smallest value? (a) 5 (b) 1/4 (c) 37 (d) 4
c
What is the smallest value in -25, -0.5, -0.1, 0?
-25
Which is the second smallest value? (a) 3 (b) 8 (c) 181
b
Which is the second biggest value? (a) -1 (b) 0.502 (c) 0
c
What is the smallest value in -5, -0.5, 0.02, -4?
-5
Which is the fourth smallest value? (a) -0.09 (b) -39 (c) 0.5 (d) 4
d
Which is the fifth smallest value? (a) 2/75 (b) -0.4 (c) 1 (d) 0.4 (e) -5
c
What is the second smallest value in 4, 3, -8, 0.2?
0.2
Which is the fourth smallest value? (a) -1 (b) -30 (c) -5 (d) -0.6 (e) 2/7
d
Which is the second biggest value? (a) 12421 (b) 1/2 (c) -2/7
b
Which is the third biggest value? (a) 3 (b) 40 (c) -10
c
Which is the fourth smallest value? (a) 0.4 (b) 0.9 (c) 0.3 (d) 8
d
What is the fourth biggest value in 0.1, -3/4, -0.79, -1?
-1
Which is the biggest value? (a) -3 (b) -5 (c) 25 (d) 0
c
Which is the smallest value? (a) -59 (b) -3 (c) -11
a
What is the fourth smallest value in -1/3, 3/4, 1, -2/5, 2?
1
Which is the biggest value? (a) -4 (b) 5 (c) -2 (d) -0.5
b
Which is the smallest value? (a) 452 (b) -1 (c) 1/3
b
Which is the fourth smallest value? (a) -0.1 (b) -2/67 (c) -4 (d) -3 (e) -8
a
Which is the biggest value? (a) -1/3 (b) 3 (c) -55
b
What is the third smallest value in -1/4, -0.5, -5, -0.09?
-1/4
What is the second biggest value in 0.9, -1/9, 14/9, 5, -1?
14/9
Which is the second biggest value? (a) -5 (b) -2 (c) 2195
b
Which is the biggest value? (a) 8/3 (b) 0 (c) 3/7 (d) 2
a
What is the fourth biggest value in -4, 8, 0.5, -7?
-7
What is the second biggest value in 6, 4/7, -3, 5?
5
What is the second smallest value in -1/32, 2/21, 1.2?
2/21
What is the biggest value in -0.2, -5, -13, 87?
87
What is the second smallest value in -0.3, -3/5, -0.5, -3?
-3/5
What is the third biggest value in 1, 2/5, -3, -7/6, 0.11?
0.11
What is the third smallest value in 37, 1, -0.1?
37
Which is the smallest value? (a) 4.4 (b) 0.01 (c) 3 (d) 1
b
What is the biggest value in -0.2, -4, -2/15, -0.4?
-2/15
What is the second biggest value in -0.1, -0.4, -2.99?
-0.4
What is the third biggest value in 4/9, -2/3, -1/9, -4, 5?
-1/9
Which is the second smallest value? (a) -1 (b) -15 (c) 0.2
a
Which is the second smallest value? (a) -4.4 (b) 2 (c) -5
a
What is the third biggest value in 20, -3/4, -2/5?
-3/4
Which is the second smallest value? (a) -2 (b) 3 (c) 27
b
Which is the biggest value? (a) 4 (b) 4/3 (c) -1.4
a
Which is the fourth smallest value? (a) 0.1 (b) -1 (c) -334 (d) 0.4 (e) -3/7
a
What is the third biggest value in 2/53, -0.04, 1/3, 3/5?
2/53
What is the fourth biggest value in 4, 3/7, 13, -2/3?
-2/3
Which is the third biggest value? (a) -2/5 (b) 8/7 (c) 0.7
a
Which is the third smallest value? (a) 3 (b) 0.22 (c) 4
c
Which is the second biggest value? (a) 1 (b) -0.5 (c) -15.6 (d) -0.16
d
Which is the second smallest value? (a) 3/4 (b) 2 (c) 0.6
a
Which is the smallest value? (a) -0.5 (b) -2 (c) 6 (d) 0.5
b
Which is the third smallest value? (a) -18 (b) -2 (c) 2 (d) -5
b
What is the third smallest value in 310, 1, 4/7, -2/15?
1
Which is the fourth biggest value? (a) -2/7 (b) -277 (c) 4 (d) -4 (e) -3/8
d
What is the third biggest value in -5, -4, -228?
-228
What is the second smallest value in 0, -2, 1/4, -23?
-2
Which is the second biggest value? (a) 0.4 (b) 2/33 (c) 5 (d) -2/7
a
Which is the third biggest value? (a) 1 (b) -1/4 (c) -3 (d) 2.38
b
Which is the third biggest value? (a) 2 (b) 6 (c) 9
a
What is the biggest value in -8/9, -4, 0.3, 1/5?
0.3
What is the second biggest value in 1, 11, 4?
4
What is the biggest value in 3, 8.01, 2/7, -1?
8.01
Which is the second biggest value? (a) -0.035 (b) -4 (c) 0
a
Which is the second biggest value? (a) -0.5 (b) 6 (c) -4 (d) 0
d
Which is the fourth biggest value? (a) 4 (b) 2/5 (c) -8/7 (d) -0.2
c
What is the smallest value in -3, -19, 0.4?
-19
What is the biggest value in -2/3, 2/9, 0.1, 0.2?
2/9
Which is the fourth smallest value? (a) 2/11 (b) -2/3 (c) 12 (d) 3/17
c
Which is the fifth smallest value? (a) 5 (b) 0 (c) -5 (d) 0.1 (e) -41
a
Which is the smallest value? (a) 4 (b) -0.436 (c) 1 (d) 0.3
b
What is the third smallest value in -8/31, -0.3, 5, -0.5, -3?
-0.3
What is the third biggest value in -1/8, 0, 0.2?
-1/8
What is the third smallest value in -0.2, -68, -4?
-0.2
What is the third smallest value in 2/3, -1, 1, 2/27, 5?
2/3
Which is the smallest value? (a) 247/3 (b) 2/13 (c) 4
b
What is the second smallest value in -2, 13.7, -5?
-2
What is the third biggest value in 5/193, 3/7, -0.5?
-0.5
Which is the second smallest value? (a) 0.7 (b) 12 (c) -1.9
a
Which is the biggest value? (a) -1 (b) 5 (c) 0.1 (d) 2/7
b
What is the third biggest value in 0.8, -8, -2/7, 5?
-2/7
What is the smallest value in -0.4, -0.03, -1, -1/5?
-1
What is the second smallest value in -5, 65, 1, 4?
1
Which is the fourth biggest value? (a) -0.2 (b) -1/6 (c) -2 (d) 5
c
Which is the second biggest value? (a) -1/65 (b) 5 (c) -0.5
a
Which is the second smallest value? (a) -5 (b) -12/11 (c) 11
b
Which is the third smallest value? (a) -24 (b) -0.04 (c) -0.3
b
Which is the second biggest value? (a) -0.21 (b) -1/3 (c) -3 (d) 0.5
a
What is the third biggest value in 0.2, -0.5, 369, -0.2?
-0.2
What is the second biggest value in -2/37, 2, -5?
-2/37
What is the fifth smallest value in -2, 1, -0.6, -1/3, 2/5?
1
Which is the third biggest value? (a) -61 (b) -9 (c)
|
{
"pile_set_name": "DM Mathematics"
}
|
73. Is i(b) prime?
False
Let a(s) = -s**2 + 12*s + 18. Let n be a(13). Let c(x) = 66*x**2 - x + 2. Let q be c(-2). Suppose 0*l - 4*m = -3*l + 899, -l + q = n*m. Is l composite?
False
Let v(a) = 1458*a**2 + 13*a - 12. Let t(u) = -5*u + 6. Let z be t(1). Is v(z) prime?
True
Let q = 96297 - 45028. Is q a prime number?
False
Let r be ((-656)/(-6))/(13/234). Suppose s - r = 3*n + 3340, -5*s = -n - 26526. Is s prime?
False
Suppose -112*s + 565079 = -93*s. Is s a composite number?
False
Let s(l) = -21045*l**3 + l + 7. Is s(-3) a composite number?
True
Suppose 3*a - 4425 + 381 = 0. Suppose -15*g + a = -13*g. Suppose 5*t + g = 7*t. Is t composite?
False
Let v = -26121 + 91040. Suppose -v = -15*x - 2624. Is x a composite number?
False
Is 3626585/(-55)*-9 - (-12)/(-66) composite?
True
Let t(w) = -2219*w**3 - 2*w**2 - w + 4. Let r be t(-3). Suppose r - 21208 = 2*q. Is q composite?
True
Let t(d) = -829*d + 35. Let f = 261 - 263. Is t(f) prime?
True
Let k(n) = -n**3 - 34*n**2 - 110*n - 109. Is k(-50) prime?
False
Let k(j) = -646*j + 3261. Is k(-23) a composite number?
False
Suppose 0 = -114*i + 117*i + 27, 4*d + 2*i - 3014 = 0. Is d composite?
True
Let n(r) be the third derivative of -7*r**7/240 + r**6/24 + r**5/12 - 20*r**2. Let d(m) be the third derivative of n(m). Is d(-7) composite?
True
Is -10*(346374/(-60) - 10) composite?
False
Let l(d) = 16392*d - 75. Let t be l(6). Suppose 5918 = -19*x + t. Is x composite?
False
Let a be ((-2)/8)/1 - 285/(-228). Is 12199 + (-1 - (-2 - (-2 - a))) a composite number?
False
Suppose 5*g + 4347 = q + 1809, -2*g - 10170 = -4*q. Is q composite?
False
Suppose -4*d + 5*b - 414 = 2007, 5*d = 4*b - 3015. Let j = -1638 + 1360. Let t = j - d. Is t prime?
False
Suppose -2*n - 2*s = -4, -s + 12 = 3*n - 4*s. Suppose 0 = 2*i - 2*c - 759 - 283, n*i + 5*c - 1563 = 0. Is i prime?
True
Let s(w) = -7805*w + 4479. Is s(-8) a composite number?
False
Let r(l) = -18684*l + 529. Is r(-32) prime?
False
Let l = 102 - 100. Suppose 68000 = 2*m - l*p, -33482 = -2*m + 5*p + 34527. Is m a prime number?
True
Suppose -7559893 = -144*m + 1355003. Is m a composite number?
False
Suppose 13*i - 18 = 8. Suppose 5*h + 4*l = 2053, 0 = 4*h - i*l - 2*l - 1628. Suppose u - h - 510 = 0. Is u prime?
True
Suppose 2*h - 3759264 = -4*d, 3*d + h - 687565 - 2131882 = 0. Is d a composite number?
True
Suppose -2*j = -2*z + 18, -2*j = 2*z + 19 - 53. Suppose 3*a - z*a = -40. Suppose a*w - 9812 = -0*w. Is w a prime number?
False
Let z(n) = 4012*n + 141. Is z(19) a composite number?
False
Suppose 0 = -5*v + 1843 - 57633. Let u = v + 45857. Is u a composite number?
True
Let c(f) = 3*f**3 - 47*f**2 + 157*f + 268. Is c(51) a prime number?
False
Let k(h) = -1249*h + 124. Let n be k(4). Let y = n + 7633. Is y prime?
False
Let n(h) = 3*h + 19. Let u be n(-8). Let p be -2 + (-2395)/u*-16. Is p/(-10) + ((-9)/15 - -1) a composite number?
True
Let t(g) = g**2 - g + 453. Let z(f) = -6*f**2 + 4*f - 2266. Let u(r) = 11*t(r) + 2*z(r). Let y be u(0). Is (2/((-6)/y))/((-5)/15) composite?
True
Suppose 3*m = 5*m, 44 = 4*p - 4*m. Let i(k) = 5*k - 18. Let l be i(p). Suppose -2*f - l + 351 = 0. Is f prime?
True
Suppose -94*w = 25*w - 10991197. Is w a prime number?
True
Suppose -97 = -3*j - 4*c, 3*j - 2*c = -35 + 126. Let v(q) = 110 + 110 - 226 - 13*q**2 + j*q + q**3. Is v(13) a prime number?
True
Let o = -62067 - -364396. Is o a composite number?
False
Let q be 94670/12 + (-8)/48. Suppose 16 = t + 19, q = 4*n + t. Is n prime?
True
Suppose -3*v + 2*h + 49948 = 0, -3*v - v + 2*h = -66600. Let w = v + -9021. Is w a composite number?
True
Let p be (1/(-2))/((-5)/40). Suppose 4805 = p*f - 11631. Is f a prime number?
False
Suppose 60 = 3*w + 14*l - 15*l, 4*w = -3*l + 93. Suppose 6425 = w*s - 19048. Is s a composite number?
False
Let f(i) = 140*i - 9665. Is f(72) a prime number?
False
Let z = 61 - 141. Let d = z - -753. Is d prime?
True
Let c = 2820 - -141559. Is c a composite number?
False
Let h(k) = 11*k**3 - 98*k**2 - 41*k + 33. Is h(22) prime?
False
Let n = 7450 - 23733. Let o = n + 22842. Is o a composite number?
True
Let g(s) = 52*s**2 + 4*s + 170. Is g(-44) composite?
True
Suppose 2*w - 4*v - 33834 = 45644, -10 = -2*v. Is w a composite number?
False
Suppose -12*k = -16*k + 272. Suppose r = p - 6*p - k, r + 67 = -4*p. Let o = 222 + r. Is o prime?
False
Suppose -4*w - 71*k = -74*k - 237058, -2*k = 2*w - 118522. Is w composite?
False
Let l(c) = -35656*c + 39. Is l(-2) composite?
True
Suppose 5*l - 261797 = -48*f + 44*f, 4*l = -2*f + 209440. Is l prime?
True
Let i = 75 - 73. Suppose -28 = -i*m + 4. Suppose -12*o + m*o - 17972 = 0. Is o composite?
False
Suppose 5*d - 49434 = w, -2*d - 2*d = 5*w - 39553. Suppose -t + 0*l + 3309 = 5*l, 0 = -3*t - 5*l + d. Suppose t = 4*k + 5. Is k a composite number?
False
Let o = -6867 + 76406. Is o a prime number?
True
Let z = 1690 - 1144. Is 2/12 + 7/(z/106145) a composite number?
False
Is (-1609353)/(-27) + 32/(-12) a composite number?
True
Suppose -22*t = 248 - 94. Is (63 - (t + 3))*2 composite?
True
Let m = 56929 - 7566. Is m a prime number?
True
Let f = 47 + -47. Suppose 3*m + m - 8436 = f. Suppose -2*o - o = -m. Is o composite?
True
Let q(u) = 10*u**3 + u**2 - 3*u + 3. Let z be q(1). Let m be (-2)/(-6)*(2 - z) + 8. Suppose 2*p + 32 - 290 = -5*t, -5*p - m*t + 675 = 0. Is p composite?
False
Let z(c) = 78*c**2 + 250*c - 2687. Is z(91) a prime number?
True
Let a = 68 - 59. Suppose -25 = -17*k + a. Suppose 2*b - k*y - 209 = -31, 3*b = -5*y + 251. Is b prime?
False
Is 2531/(-2)*(5 - 7) a prime number?
True
Let t(p) = -3*p + 19. Let g be t(5). Suppose 4*k - 9*k = -5*o + 1500, -g*k + 4 = 0. Is o composite?
True
Suppose y - 4 = -2*r, 1 + 5 = 3*y. Let h(v) = 840*v**2 + 2*v - 1. Is h(r) composite?
True
Suppose 0 = -7*n + 10*n - 6. Suppose 48 = 6*y - n*y. Suppose -16*g = -y*g - 748. Is g a prime number?
False
Let k(f) = 73*f**2 - 13*f - 7. Let c(s) = -s**2 - 32*s + 100. Let a be c(-35). Is k(a) a composite number?
True
Is ((-9)/5 - (-3)/(-15))/(92/(-4584406)) composite?
False
Is 16/(1280/(-17557136))*-5 a composite number?
False
Let m be ((-5 - -1960) + 1)/(3/2). Let j = -876 + m. Is (12/(-3))/((-8)/j*1) prime?
False
Suppose -5*z + 42 = 2*g - 3*z, -5*g + z + 99 = 0. Suppose 5*d + g = -2*w + 7*w, w + 1 = -4*d. Suppose -10*x + 5159 = -w*x. Is x composite?
True
Let t(d) = -d**2 + 10*d - 10. Let q be t(8). Let w be (-4)/q + 95886/(-27). Let p = w + 5173. Is p a prime number?
True
Is (-26559)/(-78)*1192/12 composite?
True
Let t(i) = -2*i**3 - 3*i**2 - 3*i - 6. Let s be t(-3). Suppose 4*g = 16 + 4, 0 = l - 3*g - s. Let b = l + -26. Is b a composite number?
False
Suppose m + 310350 = 2*a + a, 0 = 6*a + 3*m - 620715. Is a a prime number?
True
Let v(u) = -u - 7. Let p be v(2). Is (3/p)/((-1)/4146) prime?
False
Suppose -t + 12*t - 143 = 0. Let s(v) = 231*v + 13. Let y(q) = 115*q + 7. Let n(m) = t*y(m) - 6*s(m). Is n(4) composite?
False
Suppose 2*i + 2052 = 5*i. Let x = i + -475. Is x a prime number?
False
Let r = -688 - -1134. Let b = 573 - r. Is b composite?
False
Suppose 5*i + 1037 = 1092. Let d(k) = 109*k**2 - 105*k - 27. Is d(i) prime?
True
Let q be 9*(-25)/(-15) + (0 - 0). Suppose -3*h = -3, 5*h + q = 5*z - 0*z. Suppose 5*k + 151 - 2578 = -4*o, -2*o = -z*k - 1246. Is o composite?
False
Suppose 2*m + 21969 = 3*p + 60866, -p = 3. Suppose -4*l = 4*n - m, 3*l - 13597 = -n + 986. Is l composite?
False
Is (-23)/46*(3 + -1)*-242321 composite?
True
Suppose -r + 175827 + 200806 = 2*v, -r + 753267 = 4*v. Is v a prime number?
True
Suppose 0 = -1653*h + 1654*h - 5989. Is h prime?
False
Let d be 45/(-60) - (-3)/(-12). Is (6/24)/(d/(-1796)) prime?
True
Suppose -18 = -10*p + p. Suppose -p*a + 7727 = 3*j, j - 2118 = 2*a + 471. Is j a composite number?
False
Suppose 11*i - o = -0*i + 98334, 4*i - 5*o - 35781 = 0. Is i a prime number?
False
Let u(g) = -186*g + 1. Let v = 21 + -22. Let w be u(v). Is -4*3/(-24)*0 + w a composite number?
True
Let i(p) be the second derivative of -p**5/10 - p**4/2 + p**3/3 + 9*p**2/2 - 18*p - 5. Let a be (4/6)/(-1)*6. Is i(a) a prime number?
False
Let q(t) = -485*t**2 + t + 13. Let y(o) = -2*o**2 + o. Let d(z) = -q(z) - 5*y(z). Is d(-2) a composite number?
False
Is -82 - -74 - (-1 + -69198) composite?
False
Suppose 12 = 3*b, -2*a + 4943 = 3*b - 7405. Let g b
|
{
"pile_set_name": "DM Mathematics"
}
|
38 rounded to seven decimal places?
0.0000024
Round 0.2001 to 2 dps.
0.2
What is -0.05515 rounded to four decimal places?
-0.0552
What is -0.00076188 rounded to 6 dps?
-0.000762
What is 754.64 rounded to the nearest one hundred?
800
Round 0.00016 to 4 dps.
0.0002
What is 0.00007716 rounded to six dps?
0.000077
Round 0.029045 to three decimal places.
0.029
Round -2.2623 to the nearest integer.
-2
Round 0.00249 to 3 decimal places.
0.002
What is 0.000007397 rounded to six dps?
0.000007
Round 71.56 to the nearest ten.
70
What is -23490 rounded to the nearest one hundred?
-23500
Round 32.97 to the nearest ten.
30
Round 0.0015051 to four decimal places.
0.0015
Round -22.09 to zero dps.
-22
What is -30231300 rounded to the nearest 100000?
-30200000
What is -0.000014759 rounded to 6 dps?
-0.000015
What is 113.842 rounded to one decimal place?
113.8
Round -0.003584 to four decimal places.
-0.0036
What is -0.3065 rounded to 2 decimal places?
-0.31
What is 0.0012494 rounded to four dps?
0.0012
Round -0.1251 to 2 decimal places.
-0.13
What is -1.536 rounded to 2 dps?
-1.54
What is 0.014494 rounded to three dps?
0.014
What is 49380 rounded to the nearest 10000?
50000
Round -0.08667 to one decimal place.
-0.1
What is -8492000 rounded to the nearest one million?
-8000000
What is -3 rounded to the nearest integer?
-3
What is 5610.28 rounded to the nearest 1000?
6000
What is 4540 rounded to the nearest 100?
4500
What is -0.2093 rounded to two decimal places?
-0.21
What is -0.00000025186 rounded to seven decimal places?
-0.0000003
What is 0.023211 rounded to 4 decimal places?
0.0232
Round 0.000005805 to six dps.
0.000006
Round 11.64 to one dp.
11.6
Round -551810 to the nearest ten thousand.
-550000
What is 1552.8 rounded to the nearest 10?
1550
What is -3655100 rounded to the nearest ten thousand?
-3660000
Round -1451700 to the nearest one hundred thousand.
-1500000
Round 0.000037 to four decimal places.
0
What is 7137700 rounded to the nearest 100000?
7100000
Round -0.02355 to three dps.
-0.024
What is -0.436 rounded to 2 decimal places?
-0.44
What is -0.43 rounded to one decimal place?
-0.4
Round 167400 to the nearest one thousand.
167000
Round -78.48 to the nearest integer.
-78
Round -0.031756 to 3 decimal places.
-0.032
Round 61980 to the nearest ten thousand.
60000
What is 403.08 rounded to the nearest 10?
400
Round -27110000 to the nearest one million.
-27000000
What is 45100000 rounded to the nearest one million?
45000000
Round 19049 to the nearest one thousand.
19000
Round 0.190624 to 2 dps.
0.19
Round 21.11 to zero dps.
21
Round 0.0000461 to 6 decimal places.
0.000046
What is 41160 rounded to the nearest 1000?
41000
What is 516700 rounded to the nearest one hundred thousand?
500000
Round 0.0002076 to four dps.
0.0002
Round 496000 to the nearest ten thousand.
500000
Round 27.017 to 0 decimal places.
27
What is -0.0196 rounded to 3 decimal places?
-0.02
Round -81000 to the nearest 10000.
-80000
Round -1.7075 to 2 decimal places.
-1.71
What is 0.000266 rounded to 5 decimal places?
0.00027
Round -0.0000054184 to 6 decimal places.
-0.000005
Round -0.4845 to 1 dp.
-0.5
What is -205163000 rounded to the nearest 1000000?
-205000000
What is -295700 rounded to the nearest one million?
0
Round -0.1468 to 2 dps.
-0.15
Round 1388.99 to the nearest 10.
1390
What is -271000 rounded to the nearest 100000?
-300000
Round 48140 to the nearest one thousand.
48000
Round 41650000 to the nearest 1000000.
42000000
What is 2091000 rounded to the nearest one hundred thousand?
2100000
Round 0.00000389 to 6 decimal places.
0.000004
Round -1570000 to the nearest one million.
-2000000
What is 19500 rounded to the nearest one thousand?
20000
What is 35089.1 rounded to the nearest one hundred?
35100
Round -0.02502 to two dps.
-0.03
Round 0.00006752 to 5 decimal places.
0.00007
What is -1011000 rounded to the nearest 100000?
-1000000
Round -1620.2 to the nearest 10.
-1620
What is 0.001509 rounded to 4 dps?
0.0015
What is -75.53 rounded to the nearest 10?
-80
Round -33065 to the nearest one thousand.
-33000
What is 0.012194 rounded to three dps?
0.012
What is -4309000 rounded to the nearest one hundred thousand?
-4300000
What is -0.000200219 rounded to seven dps?
-0.0002002
What is -3202700 rounded to the nearest one hundred thousand?
-3200000
What is 0.00007297 rounded to 5 dps?
0.00007
Round -0.0283845 to three decimal places.
-0.028
What is -0.0113906 rounded to 5 decimal places?
-0.01139
Round -15135500 to the nearest 1000000.
-15000000
Round 0.000235543 to 6 decimal places.
0.000236
What is -0.000031028 rounded to 7 dps?
-0.000031
What is 51.13 rounded to zero dps?
51
Round 4.6434 to the nearest integer.
5
Round 7453.6 to the nearest 10.
7450
Round 115230 to the nearest 1000.
115000
What is -2647 rounded to the nearest 100?
-2600
Round -49389000 to the nearest 1000000.
-49000000
Round 0.056633 to two dps.
0.06
Round 759 to the nearest one hundred.
800
What is -0.00019368 rounded to 6 dps?
-0.000194
What is 0.00017163 rounded to five dps?
0.00017
Round -39000 to the nearest one hundred thousand.
0
What is -1.702 rounded to one dp?
-1.7
What is -5417 rounded to the nearest 1000?
-5000
Round -19 to the nearest 10.
-20
What is 0.00009615 rounded to 5 dps?
0.0001
Round 1676.8 to the nearest one hundred.
1700
What is 4610 rounded to the nearest 100?
4600
What is -0.40184 rounded to two decimal places?
-0.4
Round -9214000 to the nearest 100000.
-9200000
What is -28080 rounded to the nearest 1000?
-28000
Round 97.122 to the nearest integer.
97
What is 497975 rounded to the nearest 1000?
498000
Round 0.09697 to three dps.
0.097
What is 38.75 rounded to the nearest 10?
40
What is 933 rounded to the nearest one thousand?
1000
What is -0.1107 rounded to three decimal places?
-0.111
Round 15671 to the nearest one hundred.
15700
What is 752.8 rounded to the nearest one hundred?
800
What is 36969.9 rounded to the nearest 100?
37000
Round -824700 to the nearest ten thousand.
-820000
Round -0.0459 to three dps.
-0.046
Round 1.966 to 1 dp.
2
Round 0.02424 to three decimal places.
0.024
What is -127300 rounded to the nearest 10000?
-130000
What is 0.0000205 rounded to 7 dps?
0.0000205
Round -53090 to the nearest 10000.
-50000
Round 176000 to the nearest ten thousand.
180000
What is 43855 rounded to the nearest 1000?
44000
What is -0.00007571 rounded to five decimal places?
-0.00008
What is 0.0000028116 rounded to seven decimal places?
0.0000028
What is -29550 rounded to the nearest one thousand?
-30000
What is -0.0232 rounded to three decimal places?
-0.023
What is -6843 rounded to the nearest 100?
-6800
What is -0.002399 rounded to 4 dps?
-0.0024
What is -5725.2 rounded to the nearest one thousand?
-6000
Round -225.71 to the nearest ten.
-230
What is -0.00000012332 rounded to 7 decimal places?
-0.0000001
Round 7460000 to the nearest one hundred thousand.
7500000
Round -0.0000066507 to six dps.
-0.000007
What is 27.18 rounded to the nearest ten?
30
What is 0.0084982 rounded to 3 dps?
0.008
Round -303000 to the nearest ten thousand.
-300000
Round 0.0032881 to five decimal places.
0.00329
What is 6714000 rounded to the nearest 100000?
6700000
Round -51143000 to the nearest 100000.
-51100000
Round 0.000419 to 4 decimal places.
0.0004
What is 416700 rounded to the nearest one hundred thousand?
400000
Round 0.116427 to 2 dps.
0.12
Round -3.3699 to 1 dp.
-3.4
What is 0.00000029216 rounded to seven dps?
0.0000003
What is -8650000 rounded to the nearest one hundred thousand?
-8700000
Round 4.49 to 1 dp.
4.5
What is 0.00120575 rounded to five dps?
0.00121
What is 0.0003737 rounded to 5 dps?
0.00037
What is -5323600 rounded to the nearest 1000000?
-5000000
Round 21020000 to the nearest 1000000.
21000000
What is -0.00381 rounded to two dps?
0
Round 8390000 to the nearest 1000000.
8000000
What is 1227020 rounded to the nearest ten thousand?
1230000
Round 0.009599 to 4 decimal places.
0.0096
Round -3.48625 to 1 dp.
-3.5
What is 0.00005597 rounded to six decimal places?
0.000056
What is -372000 rounded to the nearest 1000000?
0
What is 0.00557 rounded to three decimal places?
0.006
Round -32.9 to the nearest 10.
-30
What is -146680 rounded to the nearest 100000?
-100000
Round 39.61 to the nearest integer.
4
|
{
"pile_set_name": "DM Mathematics"
}
|
*a**3 - 4*a**2. Let u(m) be the second derivative of h(m). Factor u(r).
-2*(r + 1)*(r + 3)/11
Let j be (-36)/(-39) + 912/(-988). Let -3/4*g**4 + 3/4*g**3 + 1/4*g**5 + 0 + j*g - 1/4*g**2 = 0. What is g?
0, 1
Let h be 1*(1*(0 + 0))/1. Let r(m) be the second derivative of 3*m - 1/5*m**5 + h + 0*m**3 - 1/12*m**4 + 0*m**2. Find k, given that r(k) = 0.
-1/4, 0
Let i(q) be the first derivative of q**2 - 2*q - 2. Let w be i(3). Suppose 3*j**3 - 6*j**3 - j**3 - 4 + w*j + 4*j**2 = 0. Calculate j.
-1, 1
Let q be ((-144)/(-27))/(-8)*2/(-560). Let u(y) be the third derivative of 0*y**3 - q*y**5 + 0*y**4 + 0 + 0*y - 3*y**2. Suppose u(x) = 0. What is x?
0
Let x(i) be the third derivative of -i**10/30240 + i**8/4032 + i**5/5 + 20*i**2. Let g(h) be the third derivative of x(h). Find c, given that g(c) = 0.
-1, 0, 1
Let f be (96/9)/(-8) - (-1 + 4). Let o = f - -5. Factor o*l + 0 - 2/3*l**2.
-2*l*(l - 1)/3
Factor -2/3*v**3 - 4 + 14/3*v + 0*v**2.
-2*(v - 2)*(v - 1)*(v + 3)/3
Let f be -2*(-4)/8 + 3. Suppose -f*j + 21 + 5 = 2*k, -4*j = -16. Solve 21*q**3 + 6*q**2 - 3*q**5 + 4*q**5 + 8*q**k + 24*q**4 = 0.
-1, -2/3, 0
Let q(s) be the third derivative of -1/20*s**5 - 6*s**2 + 0*s + 0 + s**3 + 1/8*s**4. Factor q(u).
-3*(u - 2)*(u + 1)
Suppose 0 = -3*m, -5*p = 5*m - 6 - 19. Suppose p = n + 3. Find w such that 2*w**2 - w**5 + w**3 - w**4 - 6*w**n + 5*w**2 = 0.
-1, 0, 1
Let l(a) be the first derivative of -2*a**5/105 + 3*a**4/28 - 2*a**3/21 - 3*a**2/2 + 10. Let m(z) be the second derivative of l(z). Find v, given that m(v) = 0.
1/4, 2
Let i(y) be the third derivative of -y**8/70560 - y**7/4410 - y**6/840 + y**5/4 - y**3/6 - 51*y**2. Let h(v) be the third derivative of i(v). Factor h(d).
-2*(d + 1)*(d + 3)/7
Let u(h) be the second derivative of h**6/210 - h**5/21 - h**4/7 - 16*h**2 - h - 3. Let d(a) be the first derivative of u(a). Find b such that d(b) = 0.
-1, 0, 6
Let m be -1*59/(-123) + 0. Let b = m - 6/41. Let 1/3*p + 2/3 - b*p**2 = 0. What is p?
-1, 2
Let t(f) = -f - 1. Let p be t(-3). Let i be 0 + -1 + (3 - -4) + -2. Factor -v + 2*v**2 - i*v**p + 0*v + 3*v**2.
v*(v - 1)
Suppose -p - 2 = -2*p. Suppose p*o + q - 2 = o, q = 5*o - 10. Suppose 1/4*c**3 - 1/4*c + 0*c**o + 0 = 0. Calculate c.
-1, 0, 1
Factor 48*v**3 + 42*v**3 + 41*v**3 - v**4 - 137*v**3.
-v**3*(v + 6)
Let i(h) = 2*h**4 + 208*h**3 - 2490*h**2 + 2310*h. Let t(q) = 3*q**4 + 414*q**3 - 4981*q**2 + 4619*q. Let l(o) = 11*i(o) - 6*t(o). Find u, given that l(u) = 0.
0, 1, 24
Let j(z) be the first derivative of -5*z**3/3 - 15*z**2/2 + 50*z - 54. Let j(u) = 0. Calculate u.
-5, 2
Let a(z) be the second derivative of -2*z**6/15 - 262*z**5/5 - 7656*z**4 - 454140*z**3 - 1317006*z**2 - 433*z. Factor a(y).
-4*(y + 1)*(y + 87)**3
Let u(v) = 2*v**3 - 12*v**2 - 2*v - 22. Let x be u(9). Find k, given that -442*k**4 + 4*k**5 - 2*k**5 + x*k**4 = 0.
-2, 0
Let p = -7/3 + 8/3. Let s(v) be the first derivative of -1 - p*v + v**2 + 7/9*v**3. Factor s(r).
(r + 1)*(7*r - 1)/3
Find p, given that -15*p**4 - 3/2*p**5 - 69/2*p + 18 + 36*p**3 - 3*p**2 = 0.
-12, -1, 1
Let -7*q - 1/3*q**2 - 20/3 = 0. What is q?
-20, -1
Let r(c) be the second derivative of -4/33*c**3 + 0*c**2 + 0*c**4 + 3/110*c**5 + 1/165*c**6 + 0 - c. Factor r(h).
2*h*(h - 1)*(h + 2)**2/11
Let w be (6/4)/(-4 + 63/14). Let x(v) be the second derivative of -1/10*v**5 - 1/4*v**2 - 1/6*v**w - 7*v + 0 + 7/24*v**4. Factor x(r).
-(r - 1)**2*(4*r + 1)/2
Suppose -600 - 2375 = -109*m - 795. Find n such that m*n + 195*n**3 + 25*n**5 + 0 + 245/2*n**4 + 110*n**2 = 0.
-2, -1/2, -2/5, 0
Suppose 11*d = 7*d + 12. Let j be (5/((-150)/8))/((-2)/d). Let 0*n**2 + 2/5*n**3 + 0 + j*n**4 + 0*n = 0. What is n?
-1, 0
Suppose -5*q - 5*y = 35, -3*q - 2*q - 55 = y. Let a = -10 - q. Find h, given that h + h**a + 1/3*h**3 + 1/3 = 0.
-1
Solve 3*p + 0*p**3 + 7/2*p**2 + 0 - 1/2*p**4 = 0 for p.
-2, -1, 0, 3
Let m(z) = -z + 3. Let v(q) = 3*q**2 - 144*q + 1857. Let n(u) = -6*m(u) - v(u). Solve n(k) = 0 for k.
25
Let 15/7*r + 0 + 3/7*r**2 = 0. What is r?
-5, 0
What is l in -1721*l**2 + 3*l**4 + 1746*l**2 - 20*l**3 + 2*l**4 - 10*l = 0?
0, 1, 2
Find d, given that 0 + 20/19*d**4 + 2/19*d**5 + 34/19*d**3 + 0*d + 16/19*d**2 = 0.
-8, -1, 0
Let z(q) be the first derivative of 3 + 8/13*q + 1/26*q**4 + 9/13*q**2 + 4/13*q**3. Factor z(k).
2*(k + 1)**2*(k + 4)/13
Let z = 409 + -405. Let i(r) be the first derivative of 5/14*r**z + r**2 - 2/35*r**5 - 4/7*r - 6/7*r**3 + 6. Factor i(y).
-2*(y - 2)*(y - 1)**3/7
Let x be (1 + 4 + -5)*(-6)/(-12). Let q(f) be the second derivative of 1/60*f**5 + 0*f**4 + 0 + 1/90*f**6 + 5*f + 0*f**2 + x*f**3. Factor q(h).
h**3*(h + 1)/3
Let x(c) be the second derivative of c**7/1155 - c**5/330 + 5*c**2/2 + 2*c. Let u(v) be the first derivative of x(v). Factor u(n).
2*n**2*(n - 1)*(n + 1)/11
Let m = -1222 - -1225. Let u(v) be the third derivative of 0 + 0*v**4 + 0*v**m + 1/15*v**5 + 2*v**2 - 1/30*v**6 + 0*v. Factor u(s).
-4*s**2*(s - 1)
Suppose -2*r + 2 = 2*u, 474*u - 475*u - 3*r - 1 = 0. Factor 9/7 - 9/7*m**u - 3/7*m**3 + 3/7*m.
-3*(m - 1)*(m + 1)*(m + 3)/7
Let j(q) = 7*q + 100. Let f be j(-14). Factor -3/4*g**3 - 1/2 + 1/4*g**4 + 1/4*g**f + 3/4*g.
(g - 2)*(g - 1)**2*(g + 1)/4
Let m(a) be the second derivative of -a**8/6720 - a**7/3360 + a**6/720 + 3*a**3 - 25*a. Let u(w) be the second derivative of m(w). Factor u(p).
-p**2*(p - 1)*(p + 2)/4
Let z(q) = 2*q**4 - 8*q**3 - 4*q**2 - 6. Let m(s) be the second derivative of s**6/30 - s**2/2 - 24*s. Let c(y) = -6*m(y) + z(y). Factor c(t).
-4*t**2*(t + 1)**2
Factor 0 + 0*o - 4/7*o**4 + 0*o**2 - 4/7*o**3.
-4*o**3*(o + 1)/7
Suppose 186*u**2 - 62 - 191*u**2 - 9 + 12 + 60*u - 76 = 0. What is u?
3, 9
Let q(i) be the third derivative of 0*i + 25/24*i**4 - 1/24*i**5 - 125/12*i**3 - 10*i**2 + 0. Factor q(g).
-5*(g - 5)**2/2
Let v(m) be the first derivative of 2*m**7/3 - 6*m**6/5 + 2*m**5/5 + 19*m - 19. Let q(h) be the first derivative of v(h). Solve q(w) = 0 for w.
0, 2/7, 1
Let z(u) = -u**3 + u - 1. Let k(y) = -4*y**4 - 16*y**3 + 4*y**2 + 16*y - 16. Suppose 5*w + v = 2*v - 78, -w - 12 = -2*v. Let n(i) = w*z(i) + k(i). Factor n(o).
-4*o**2*(o - 1)*(o + 1)
Let d be (-33)/6*1776/(-3256). Factor -8*i + 4*i**2 - 2/3*i**d + 16/3.
-2*(i - 2)**3/3
Let q(h) be the first derivative of 12*h**5/35 - 3*h**4/28 + 114. Determine f so that q(f) = 0.
0, 1/4
Let z(x) be the first derivative of x**4/3 + 16*x**3/3 - 8*x**2/3 - 64*x + 399. Suppose z(o) = 0. What is o?
-12, -2, 2
Suppose 2*u - 5*c - 55 = -3*u, -u - 1 = 2*c. Suppose -u*p = -p - 24. Suppose d**4 + d**2 - 6 - 2*d**3 + p + 2 = 0. What is d?
0, 1
Let m be 1/(((-4)/70)/(16/(-20))). Factor 2*z**2 + m*z - 4 - 6*z**3 - 6*z**2 - 5*z**3 + 5*z**3.
-2*(z - 1)*(z + 2)*(3*z - 1)
Let l(u) = 7*u**2 + u - 8. Let a(n) = -10*n**2 - 2*n + 12. Let x(z) = -5*a(z) - 7*l(z). Let j be x(-5). Factor 0 - 4 - 2*d**2 + 2 - 2 + j*d.
-2*(d - 2)*(d - 1)
Factor x + 17*x**2 + 15*x**2 + 4*x**5 - 40*x**3 + 35*x + 1437*x**4 - 1469*x**4.
4*x*(x - 9)*(x - 1)*(x + 1)**2
Solve -97*a**2 - 47*a**2 - 9*a**3 - 48*a**4 + 165*a**3 + 3*a**5 = 0.
0, 2, 12
Let u = 61/3 - 20. Let o = 10 - 8. Factor 1/3*i**o + 2/3*i**3 + 0*i + 0 + u*i**4.
i**2*(i + 1)**2/3
Let y(q) be the first derivative of 1/2*q + 2/3*q**3 - 5/6*q**2 + 1/30*q**5 - 3 - 1/4*q**4. Factor y(k).
(k - 3)*(k - 1)**3/6
Let h(w) be the first derivative of 1/2*w**2 - 1 + 1/8*w**3 + 1/80*w**5 - 1/16*w**4 + 0*w. Let p(y) be the second derivative of h(y). Find a such that p(a) = 0.
1
Factor 6128487/2 + 549/2*f**2 - 100467/2*f - 1/2*f**3.
-(f - 183)**3/2
Factor 77 + 74*g**2 - 4*g**3 - 77 + 38*g**2.
-4*g**2*(g - 28)
Suppose -5*u + 8*l + 24 = 7*l, 0 = -3*u - 3*l. Let s(v) be the second derivative of -1/42*v**4 + u*v - 2/21*v**3 - 1/7*v**2 + 0. Factor s(m).
-2*(m + 1)**2/7
Let p be (64/(-56))/(4/(-14)). Determine j, given that -3*j**2 - 2*j**2 - 15*j**p + 20*j**4 = 0.
-1, 0, 1
Let q(n) be the third derivative of -4*n**2 + 0 + 1/240*n**6 + 1/60*n**5 - 1/6*n**3 + 0*n - 1/48*n**4. Find t, given that q(t) = 0.
-2, -1, 1
Suppose 0*n**4 - 1/3*n + 2/3*n**3 - 1/3*n**5 + 0*n**2 + 0 = 0. Calculate n.
-1, 0, 1
Let g(l) be the second derivative of -2*l**7/105 + 2*l**6/75 + 2*l - 61. Factor g(x).
-4*x**4*(x - 1)/5
Let o(d) be the first derivative of 25/3*d**3 - 5*d**5 - 8 + 0*d + 5/2*d**6 - 5/4*d**4 - 5*d**2. Let o(w) = 0. C
|
{
"pile_set_name": "DM Mathematics"
}
|
)/5 + 24))?
4/31
What is the value of (19652/850 - 23) + (-4340)/750?
-17/3
What is 10/7 + (-5410)/(-525) + 259 + -271?
-4/15
Evaluate (52/(-156))/(-2*(-16)/12*(-3)/(-18)).
-3/4
What is the value of (-165)/(-450) - 3*(-2)/(-12) - 6968/(-54210)?
-2/417
1176/(-15) + (33024/(-480))/(-172)
-78
Evaluate (2/12*216/27)/(1904/(-12) + 22).
-2/205
((-390)/(-30) + -18 - (-2 - 1))*(-201)/6
67
Calculate (6232/4674)/((-16)/1236).
-103
Calculate (-3)/((-2 - 0 - 25/(-6)) + (-2)/1).
-18
Evaluate 5/3*2863/443765.
1/93
What is the value of (-6)/22 + ((-10346)/(-1232) - 8) - 6/(-16)?
1/2
Evaluate (-196)/(-5) + (-13978)/(-2410).
45
What is (-232)/(-21228)*(-28)/(-8)*(-33)/(-154)?
1/122
What is (2/(-52))/((-390)/(-18720))?
-24/13
What is (-221160)/(-4656) + -71 + 0?
-47/2
What is the value of 2/(-11) - (-34450)/3498 - 0/95?
29/3
What is the value of (-4 + -1)/(990/5280*(-96)/(-9))?
-5/2
What is the value of 0*(-5)/100 - 5*385/25?
-77
Evaluate 72*976/(-20862) + 10/3.
-2/57
(-75)/(-350) + (-73234)/(-3528) + -21
-1/36
What is the value of 6570/(-105) + (107 - 45)?
-4/7
(35/(-63) + 23 + (-12440)/450)/((-8)/5)
13/4
What is ((-72)/(-76))/(-3) - (-38)/((-2888)/8260)?
-109
Evaluate ((-1433)/7165 - (-2 - 6/(-3)))/((-2)/(-26)).
-13/5
What is -4*14 - (-20678)/(-2954)?
-63
((12 - 9) + 358/(-120))/((-4646)/303 - -14)
-1/80
Evaluate ((-3)/9)/(7056/12312 - 95/171).
-19
Calculate 22 - 1/3*5830782/88276.
-1/58
-70 + 55062/912 + 13
27/8
Calculate (1035/(-276))/(243/(-972)).
15
-30 + 2 + 56358/2121
-10/7
49/((-309925)/(-92))*55/(-22)
-2/55
((-44)/110*-1)/(5/1300)
104
Evaluate (4*(-5)/(-6))/(47 + 17479/(-462)).
4/11
Calculate ((-130)/117 - -1) + 31/((-6975)/(-30)).
1/45
What is the value of (-748)/(-385) - -4 - (-21)/((-10290)/(-28))?
6
What is the value of 52/(((-4)/(-10))/(-10*(-43)/(-19350)))?
-26/9
Evaluate (16614/88)/71 + ((-35)/(-4))/(-5).
10/11
(-40590)/990 - (-4)/(-4)
-42
Calculate ((-9)/(-20))/((-21)/(-1680)*450).
2/25
Evaluate 3/26 - (-294 + 1741922/4732).
-74
Evaluate 59/(-5487)*-4309 - (-1 + 16/12).
46
(204/3366 + (-1320)/19118)*3/(-2)
1/79
Calculate (((-3296)/(-480) + -7)*6)/((-4)/330).
66
What is the value of (-1385)/87255 - (-69)/(-7560)?
-1/40
Evaluate (-162256)/(-1352) + 1272/(-107484).
120
What is (-16)/(-10)*742050/(-39576)?
-30
What is 90*190/(-149625)*(-21)/54?
2/45
What is 9 + (-3 - (-189)/(-27)) - (1 + 132/(-63))?
2/21
What is (-6)/(-93) + (-55)/(57970/15878)?
-15
What is the value of (-6)/(-4)*(138/(-345) - (-679)/1785)*2?
-1/17
Calculate (-156)/9*(36456/312 - 117).
8/3
Calculate ((-765)/75 - -9)/(56/(-280)).
6
What is the value of -30*(-72)/(-240)*496/93?
-48
Evaluate ((540/(-120))/9)/(2118/264 - 8).
-22
(4 + 0)/((-40)/70) + -53
-60
Evaluate (-3)/10*(-3665)/15393*-7.
-1/2
24 - ((-24)/(-18))/(1216/22914)
-9/8
Evaluate -21 - 321/(-15) - (-10)/125*(-3195)/684.
1/38
What is -24 - (19 + -78*(-4687)/(-8514))?
-2/33
Calculate 144760/1974 - (44/42 - (-18)/63).
72
What is the value of 2*(-3)/27*((-1386)/8008)/(36/(-78))?
-1/12
(2670/7476)/(4 - 4/((-12)/(-11)))
15/14
Evaluate (-57888)/8640*(-5 - 0)/((-43)/(-86)).
67
Evaluate ((-51)/15)/(276/21160 + 4/46).
-34
Calculate 0/(-7) - ((-1)/(-55))/((-2)/(64/(-16))).
-2/55
Evaluate 12 + (-6660)/450 - (-3592)/1290.
-2/129
Evaluate (18198/15)/18 - 1/10*2*-3.
68
(192/22)/(40185/(-1034) + 39)
64
Calculate (278 + 545076/(-1960))*(-1)/8*1.
1/80
4*6/24*(49/21 + 11/(-33))
2
What is (3/6)/(26 - (49 + -30))?
1/14
Calculate 572/715 - ((-9)/90 - 621/10).
63
What is 29 - (-39330)/2565*(-6)/(-4)?
52
What is the value of (-3 + 2)*(-75)/300 - 4/(16/(-19))?
5
Evaluate (51/(-15))/(204408/(-7755480)).
129
Calculate ((-9612)/20826)/(2 - 29).
2/117
Calculate 55136/(-5169)*(-6)/8.
8
What is the value of -15 + (((-30)/21)/1)/((-10)/70)?
-5
What is ((156/16)/(129/1032))/((-9)/6)?
-52
81/(-336) + (-1626)/22764
-5/16
What is the value of (-136)/(-51)*(7 - 10)*-12?
96
Calculate 2*(-7)/462*162/(-4) + (-5)/10.
8/11
(-32)/1988*784/(-1344)*(-25 + 22)
-2/71
What is the value of -66 - -52 - 7/((-63)/243)?
13
Calculate 13762/(-983)*2/(-4)*-13*(-2)/7.
26
What is the value of 23 + (-42 + 71 - 17/1)?
35
Evaluate 122/(-976) - -2*(-43)/(-48) - 160/(-120).
3
What is (-171)/327*(-584)/16644?
2/109
((-10)/25*3)/((-171)/5700)
40
Evaluate (-18*(-74)/1665)/((-66)/(-30))*22/268.
2/67
What is (-2295)/187 - (-3304)/2596?
-11
Evaluate (6101850/(-24500))/57 + 264/60.
3/98
Calculate -8 + -24 + -4755*4/(-600).
-3/10
Calculate 80/5 - -43 - 20 - -2.
41
What is 970/40 - (-23046)/(-1336)?
7
Calculate (-8)/24*7*90/280.
-3/4
Evaluate (0 - 48)*(-98 + 242985/2522 - (-2)/13).
72
144/(-2016) + (-162)/(-3052)
-2/109
What is the value of (2*-420)/20*1/(-5)?
42/5
Calculate 348 - 341 - 4/(28/441).
-56
What is the value of (-26)/(-611) - 59884/(-2068)?
29
What is 65/(-20)*208/((-3588)/(-69))?
-13
55 + -6 - 64206/1305
-1/5
Evaluate (((-400)/(-1120))/((-10)/72))/((-5)/(-14)).
-36/5
52/(-1118) - (-7122)/(-7740) - (-2)/2
1/30
What is the value of (-2216)/396 + 22/(-121) - (-14 + 9)?
-7/9
What is the value of (2/(-20))/(8/(-10) + 8/(-140)*-13)?
7/4
Calculate (-6)/46*((-1341)/(-756) + (-273)/2548).
-5/23
Evaluate ((10437/(-70))/(-71))/((-16)/20 - -2).
7/4
What is (2*(-2)/(-11))/(49 + 46070/(-935))?
-4/3
What is the value of 170/(-6)*(1584/160 - 10)*30?
85
(-1)/12*(611 - 2275/(-91))
-53
Evaluate ((-27)/(-135))/((-65)/923) + 3.
4/25
What is (-12)/(-3) - (1/22 - (10 - (-2664)/528))?
19
What is the value of -1*5/25 - ((-18356)/(-5200) - (-15)/(-4))?
1/50
(-42 - 26973/(-648))/(2*3/(-1056))
66
What is (-210 - -213)*(-215)/15?
-43
What is the value of (-351)/26*(-176)/5148?
6/13
(18 + ((-68)/68)/(12/224))*(-207)/(-2)
-69
Evaluate 97/((-156655)/74324) - -46.
-2/95
What is (1/(-10))/(6593/(-1516390))?
23
Evaluate ((-150)/(-42))/(546/(-392) + 50/40).
-25
What is (52 + (-91752)/1764)*7?
-2/21
Evaluate ((-81)/189)/(11232/(-20160)).
10/13
(-2707238)/31868 + (-24)/496
-85
Evaluate 79 + 63 + 151032/(-1064).
1/19
What is the value of ((-1 + -3)*260/(-320))/(-3 - 207/(-72))?
-26
54/92 - (11894/(-11268) - 28/(-18))
2/23
1*-1*5 - ((237 - 405) + 177)
-14
What is ((-218)/2180)/(-2 + 7 - 3)?
-1/20
What is (8 - (-20 + 6)) + -64?
-42
What is (-864)/270*5 - ((-156)/(-8) - -4)?
-79/2
Calculate (-44)/8*((-12325)/(-319) - 35).
-20
Calculate 6/(-81) - ((-1832)/(-54) + 5).
-39
Evaluate ((-3573)/(-12))/3 + 39648/(-7552).
94
What is (-1617)/45 + 161/((-4186)/(-936))?
1/15
What is the value of 213233/36938 - (-22)/(-4)?
3/11
Calculate (-1 - 11)*(-41)/(-82) - 85/(-15).
-1/3
What is the value of 39/6 - (-108)/216?
7
What is (4/2)/((-34)/(-6))*(131040/448 + -293)?
-3/17
Evaluate ((-55284)/612 - -81)*((-62)/(-14) + -1).
-32
Calculate (-106301)/3211 + (-2)/(-19) - 7/(-49)*-7.
-34
What is the value of -4 + -5 + (-416)/16?
-35
Evaluate (-736)/(-80)*(9/(-2)*2 + (-41)/(-4)).
23/2
What is ((-6)/(-4))/(1 - ((-33255)/(-33600) - (-2)/35))?
-32
-1*((-66)/(-18) + -4)/((-14)/462)
-11
Calculate (1 - -1) + (1688/(-24) - -69).
2/3
What is -26*((-24 + 17 - -20) + -12)?
-26
What is -14*(-7)/28*((-15)/(-70))/(3/9)?
9/4
(29370/440 + -71)/(1/(-12))
51
What is (47 - -736)/87 - (-72 + 1)?
80
What is the value of ((0 + 2)/(-3*(-5)/(-15)))/2?
-1
Calculate 32 + (1130570/1150)/(-31) - 3/15*1.
2/23
Evaluate 18 - (19 + (-3002)/152)*4*1/(-1).
15
Calculate 2/459*44118/13072.
1/68
(-47)/(38399/19350) - 12/38
-24
What is the value of ((-18960)/(-384) - 49) + (-2)/(-112)*-45?
-3/7
What is the value of ((-4)/(-16))/(-31*(-22)/2728)?
1
What is ((-1)/(-21 - 7164/(-342)))/(1 + (-2 - -2))?
19
What is 33360/27800*(-2)/(-18)*-10*(-9)/(-20)?
-3/5
What is (20/(-150) - (-98)/60)/(635/(-762))?
-9/5
What is (459486/67)/54 - 80?
47
Evaluate 432/2900 - (-1164)/(-16878).
2/25
What is the value of (2/(-32))/(2887/(-415728))?
9
(-320)/60*1575/(-120)
70
What is the value of (7/(-3))/((-17598)/181008)?
24
What is (((-88)/(-154))/(12/14))/((-14)/(-21))?
1
Evaluate 4314/30 - (-800)/(-1000).
143
What is (-18)/(-1836)*136*(21/12 - 0)?
7/3
What is the value of ((-33 - 32) + -27)/4 - -33?
10
Evaluate -2 - -17 - (839 + -822).
-2
What is the value of -476*(-9)/(-504)*4?
-34
What is (432/(-42))/6*11/(1100/(-490))?
42/5
What is the value of (-66640)/2856*90/42?
-50
Evaluate (13338/68913)/((-114)/(-62)).
2/19
(36/(-16) + 3)*(-8680)/113925
-2/35
Calculate 78*66/6435*(-4340)/56.
-62
Calculate (
|
{
"pile_set_name": "DM Mathematics"
}
|
*x**2 + x**2 - 1 + 0 + 3*x. List the prime factors of i(-2).
2
Let c be (-18)/8*(-392)/21. Let a = c - 25. What are the prime factors of a?
17
Let q be (-3 - (0 + -2)) + 3. Suppose -4*n = -3*w - 30, 0*n = -2*w + q*n - 18. Let o(j) = -2*j + 5. What are the prime factors of o(w)?
17
List the prime factors of 3/15 + (-102)/(-15).
7
Let r(y) = -y**3 - 3*y**2 - 4*y - 2. Suppose -5*z = -20 - 40. Suppose -z = 2*n + 2*n. What are the prime factors of r(n)?
2, 5
Let a(v) = -v**2 - 8*v - 3. Let g = -5 - 0. List the prime factors of a(g).
2, 3
Suppose 2*u + 18 = 8*u. Suppose 0 = -u*s + s + 84. What are the prime factors of s?
2, 3, 7
Let q = -37 + 65. Suppose q = c + 4*x, -3*c - x + 62 = -0*c. What are the prime factors of c?
2, 5
Suppose -5*j - 117 = 533. List the prime factors of 2/(-13) + (-5870)/j.
3, 5
Let r be 3 - (3/3 + 0). Suppose 0 = 3*z + 5*u - 0*u + 19, -5*z - r*u = 0. List the prime factors of z.
2
Let s be 4/((-2)/2 + 3). Suppose -9 = v - s*v. Let f = 18 - v. What are the prime factors of f?
3
Let q = 6 - 6. Suppose 5 = -q*n + n. What are the prime factors of n?
5
Suppose 13 + 11 = -j. Let n = 34 + j. List the prime factors of n.
2, 5
Let k(o) = 4*o - 2*o + o - 3. List the prime factors of k(10).
3
Suppose -3*c = -5*c + 98. List the prime factors of c.
7
What are the prime factors of (-84)/(-1)*((12 - 5) + -6)?
2, 3, 7
Let y be (0 + -5)*18/30. Let h(b) = -8*b. List the prime factors of h(y).
2, 3
Suppose p - 28 = -0*t + 2*t, 4*p + 31 = -3*t. Let y = t + 22. List the prime factors of y.
3
Suppose -2*p + 55 = -1. What are the prime factors of p?
2, 7
What are the prime factors of 2/(-5) - (1 - (-4242)/(-30))?
2, 5, 7
Let i = 1 - 3. Let h(r) = -3*r + 2. Let a(w) = -7*w + 3. Let k(q) = 3*a(q) - 5*h(q). What are the prime factors of k(i)?
11
Suppose 0 = -2*g + 7*g - 300. Suppose 4*p = -5*a - 65, -5*a - 3*p - g = 2*p. Let b = -6 - a. List the prime factors of b.
11
Suppose -a + 4 = -0. List the prime factors of (14 - 4)*2/a.
5
Suppose 0*h - 2*h = 154. Let s = 117 + h. What are the prime factors of s?
2, 5
List the prime factors of (-78)/(-4)*24/36.
13
Let b(a) = -a**2 + 4*a. Let s be b(4). Suppose 22 = 3*g - 5*z, s = -5*z + 6 - 1. List the prime factors of g.
3
Let w(b) = -b**3 - 3*b**2 + 3*b - 2. List the prime factors of w(-4).
2
Let c be 2 + 1 + 0/1. What are the prime factors of (-81)/18*(-10)/c?
3, 5
Let y(c) = 21*c - 13. List the prime factors of y(7).
2, 67
Suppose 5*x + 11 = 46. Suppose 4*r - r - u = x, 2*r = u + 3. Suppose 1 = -4*j + 5*d - r, -5*d = -5*j. List the prime factors of j.
5
Let m(l) = -l**3 + 9*l**2 - 9*l + 12. Let g be m(8). Let o = 5 - g. List the prime factors of (-2)/2 - (-12 + o).
2, 5
Let p(i) = 3*i**2 - 9*i - 8. List the prime factors of p(7).
2, 19
Suppose 4*p = 37 + 31. Suppose p + 3 = 5*t. What are the prime factors of t?
2
Let p(q) = -q**3 + 7*q**2 - 5*q - 4. Let z be p(6). List the prime factors of -1*(z + -7) - 0.
5
Let o(r) = 341*r + 121. Let f(t) = -17*t - 6. Let x(n) = -121*f(n) - 6*o(n). What are the prime factors of x(2)?
2, 11
Let x(l) = -l**3 + 17*l**2 - 28*l. List the prime factors of x(15).
2, 3, 5
Let w = 0 - 10. Let c be 2 + (2 + w - -1). List the prime factors of (-7 + 1)/(c - -4).
2, 3
Suppose c - 31 = -3*j + 22, 0 = 2*j - 8. What are the prime factors of c?
41
Suppose a = -11 + 1. Let d = 17 + a. What are the prime factors of (-2)/d - 516/(-42)?
2, 3
Let j(f) = -f**3 + 4*f**2 + 6*f + 5. Suppose -b + g + 0 = -3, 0 = -2*b - 2*g - 10. Let k be b/(((-6)/(-15))/(-2)). List the prime factors of j(k).
2, 5
Suppose 5*b - 68 = b. What are the prime factors of b?
17
Suppose 3*s = -2*c + 356 + 39, 550 = 4*s - 2*c. What are the prime factors of s?
3, 5
Suppose -16 = -2*a + 5*v, -2*v - 4 = 5*a - 15. Let g be ((-28)/6)/(2/a). What are the prime factors of 0 - (2/(-1) + g)?
3
Suppose 3*q = -5*l + 22, 5*q = 5*l - 18 - 12. Let z = 6 - l. Suppose 0 = 2*w - z - 3. What are the prime factors of w?
2
Suppose 4*d - 4*f - 96 = 0, -4*d + 0*f + 2*f + 96 = 0. List the prime factors of d.
2, 3
Suppose -24 = -4*f + 4. List the prime factors of f.
7
Let a(z) = -z**3 - 5*z**2 + 2. Let i be a(-5). Suppose 84 = -i*c - 2*c. What are the prime factors of c/(-2) - 2/4?
2, 5
Let c(w) = -9*w - 1. Suppose -4*f - f - 3*s - 27 = 0, 2*s + 5 = f. Let z be c(f). Let q = -15 + z. What are the prime factors of q?
11
Let l = -13 + 1. Let z = 39 + l. What are the prime factors of z?
3
Let j(m) be the third derivative of -m**6/120 - 7*m**5/60 - m**4/24 + 4*m**3/3 + 2*m**2. List the prime factors of j(-7).
3, 5
Suppose -4*r + 30 = r. Let j(x) be the third derivative of -x**5/60 + x**4/3 - 7*x**3/6 + x**2. What are the prime factors of j(r)?
5
Let i(r) = -r**3 - 7*r**2 - 10*r + 2. Let m be i(-5). List the prime factors of -6*(-1)/m*14.
2, 3, 7
Let g be (18/(-27) + 2/3)/1. Let h = 83 - 59. Suppose 5*k = -5*m + 70, g*m - m - 3*k + h = 0. List the prime factors of m.
3
Suppose 121 - 5 = 4*d. Suppose y = -0*y + d. Let x = y - 16. What are the prime factors of x?
13
Let i be -15*(-14)/(-6)*-2. Let b = i - 44. What are the prime factors of b?
2, 13
List the prime factors of (-1)/(-6) - 77*(-6)/36.
13
Let n be (-2 + 0 - -4)*2. Let x(k) = 2*k**2 - 4*k + 1. List the prime factors of x(n).
17
Suppose -3*l + 0*l + 21 = 3*m, 0 = 3*m - 4*l. What are the prime factors of (m/3 - 1)*27?
3
Let j be (-5)/((-15)/6) - -2. Suppose 0 = j*v - 0*v. Suppose -2*b + 20 = -v. What are the prime factors of b?
2, 5
Suppose -k + 2*q + 2 = 0, -1 = -2*k + 2*q - q. Let g(x) = -6*x + 1 + x + k. List the prime factors of g(-1).
2, 3
Let u be (1 + 3)*35/20. Suppose -5*g + u*g - 16 = 0. What are the prime factors of g?
2
Let u(r) = -45*r**3 + r**2 - r - 1. List the prime factors of u(-1).
2, 23
Suppose p - g + 75 = 2*p, 2*g - 372 = -5*p. List the prime factors of p.
2, 37
Suppose -4 = -t + 3. Let u(c) = c**2 - 9*c + 8. Let b be u(t). List the prime factors of ((-3)/2)/(b/56).
2, 7
Let n(d) = -4 - 2*d + 3 + 0 + 6*d**2 - d**3. List the prime factors of n(4).
23
Let y = -245 - -366. What are the prime factors of y?
11
Let l(u) = -u**2 + 7*u + 1. Let k be l(7). Let g be 0/k + (0 - -5). Suppose 0 = 4*x - v - v - 42, 0 = g*x + 4*v - 72. List the prime factors of x.
2, 3
Let r = 16 - 9. List the prime factors of r.
7
Suppose -3*c + 5*h - 1 = 3, 2*h = 5*c - 6. Suppose 0*g - c*g + 28 = 2*d, -25 = 5*g. Suppose 7 = -4*b + d. List the prime factors of b.
3
Let v(a) = -a**2 + 6*a + 8. Let o be v(6). Suppose 3*h - 51 = 4*x, 2*h - 34 = -o*x + 3*x. List the prime factors of h.
17
Let s(i) = -51*i + 2 + 44*i + 2 + 6*i**2 + i**3. What are the prime factors of s(-7)?
2
Suppose -2*f - 39 = -5*f. What are the prime factors of f?
13
Suppose 2*q + 2 - 8 = 0. Suppose -i = -c + 42 - 1, 2*c - q*i = 87. Suppose -a - 3*a = -c. What are the prime factors of a?
3
Suppose -d + 2*d + 2*u + 1 = 0, -d - u = 0. Suppose 7*j - 8 = 3*j. Let o = j + d. List the prime factors of o.
3
Let i be ((-6)/4)/(12/112). Let n(u) = -2*u + 7. Let l be n(-9). Let y = l + i. What are the prime factors of y?
11
Suppose 5*a = -3*x + 68, 52 = 4*a - 2*x + 5*x. Suppose 4*z = -z - 3*h + 3, 0 = 4*h + a. List the prime factors of z.
3
Let a = 8 - -41. What are the prime factors of a?
7
Let c(f) = 3*f**3. Let a be c(1). Suppose 4*o = a*o. Suppose o = -4*d - 4*t + 20, 4*d + 0*t = -t + 14. List the prime factors of d.
3
Let c(i) = -i**3 - 5*i**2 + i - 2. List the prime factors of c(-6).
2, 7
Suppose 0 = 3*a + k - 103, 0*a + a - 2*k - 32 = 0. List the prime factors of a.
2, 17
Let n be 1*(-1 + 16 + 2). List the prime factors of n - (-6)/(-9)*3.
3, 5
Let k(h) = 4*h**2 + h - 2. Let w be k(-2). Let o = 7 - 15. Let g = w + o. What are the prime factors of g?
2
Suppose 2 = a + 5*k, -a + 6*k + 22 = k. List the prime factors of (-12)/(-2) - a/(-4).
3
Let t(g) = g**3 - g**2 - 3*g - 1. Let f be t(3). Suppose -4*w + f = -a, -4*w + 8 = -4. Suppose a*j - 50 = -j. List the prime factors of j.
2, 5
Let c(k) = 4*k**2 - k - 2. Suppose 0 = -3*f + 6*f + 9. List the prime factors of c(f).
37
Suppose -9 - 15 = 4*o. Let a(j) = j**2 + 6*j + 9. List the prime factors of a(o).
3
Suppose 2*u + 10 = -4*m - 2, -3*u = -3*m. Let h(g) = 8*g**2 + 3*g + 1. What are the prime factors of h(u)?
3
Let d = -14 + 29. List the prime factors of d.
3, 5
Let y(n) = -n**3 - 3*n**2 - 7*n
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - q**2).
-30*q**5
Expand (-45*r**2 - 9*r**3 + 45*r**2)*(-4*r + 309 + 6*r - 326 - 5*r + 3*r + 0*r - 2*r + 5*r - r + (3 + 0 - 2)*(-r + 0 + 0)).
-9*r**4 + 153*r**3
Expand (-1190*k + 1188*k + 1 - 14)*(-17 - 7 - 5).
58*k + 377
Expand 2*f**3 + 2*f**3 - 6*f**3 + (3*f**2 + 3*f**2 - 5*f**2)*(-f + 3 - 3) - 16 - 21 + 35 - 26*f**3.
-29*f**3 - 2
Expand (2*u**2 - 4*u**2 + u**2)*(3 - 4 + 2) - 2*u**2 - 2*u + 2*u + (0 - 1 + 13)*(-u**2 + 0*u**2 + 3*u**2).
21*u**2
Expand 3*i - 1 - 3*i - 3*i + (-4 + 0 + 2)*(19*i + 10*i - 23*i).
-15*i - 1
Expand (-70*n**2 + 61*n**2 + 56*n**2)*(3*n - 6*n + n)*(-3*n + 0*n + 4*n).
-94*n**4
Expand -4*i**5 - 19*i**5 + 4*i**5 + (-4*i**3 - i**3 - 5*i**3)*(i**2 + 2 - 2).
-29*i**5
Expand (3*y**2 - 6*y + 6*y)*(-3*y**2 - 1 + 1) + (0*y + 2*y - y)*(-25*y**3 + 23 - 23).
-34*y**4
Expand -3*u - 2*u + 3*u - 2*u + 2*u - 2*u + (-3 + 0 + 0)*(2*u + 0*u - u) - u + 6*u + u.
-u
Expand ((-5*m + 4*m + 2*m)*(-2 + 2 + 1) - 3 - 2*m + 3 + 0*m + m - 4*m - 6*m + 4*m - 2*m)*(-14 + m + 14 - 3 + 3 - 2*m + (1 + 3 - 2)*(2*m - 3*m + 0*m)).
24*m**2
Expand 51*d - 51*d + 160*d**2 + (d - d - d)*(-1 + d + 1).
159*d**2
Expand (6 - 8 + 25)*((-5 + 2 + 1)*(0 + 0 + g) + g + 2*g - 4*g)*(4 - 7 + 2).
69*g
Expand (2 - 2 - 2*q)*(-20 + 31 - 14 + 26*q) + (2*q + 3*q - 3*q)*(0*q - q + 2*q) + 4*q**2 - 13*q**2 + 4*q**2.
-55*q**2 + 6*q
Expand (-93*j + 43*j + 64 + 47*j)*(j - j**2 - j + (-1 + 0 + 3)*(-3*j**2 + 3*j**2 - 2*j**2)).
15*j**3 - 320*j**2
Expand (-3 + 1 + 0)*(2 - 2 - c) + (5*c + 28*c - 5*c)*(-2 + 1 + 2).
30*c
Expand (-3 + 3 - 5*m**2)*(4*m + 26*m + 11*m).
-205*m**3
Expand (2*q - q + q)*(197 + 170 - 66).
602*q
Expand (-17*r + 6*r - 38*r)*(2*r + 1 - 1)*(-r + 4*r**3 + r).
-392*r**5
Expand (2 - 1 + 0)*(6*t + 2*t - 4*t)*(29 + 32 - 50).
44*t
Expand (3 + 2 - 3)*((0*n**3 + n**3 + 0*n**3)*(-n**2 + n**2 - 2*n**2) - 12*n**5 - 15*n**5 + 3*n**5).
-52*n**5
Expand (4 - 3 - 2)*(3 - 3 - 3*s**2) - s**2 + s**2 + s**2 - 5 + 5 - 6*s**2 + (3 - 2 + 0)*(-3 - 3*s**2 + 3).
-5*s**2
Expand (2 + 4 - 4)*(-1 + 0 - 2)*(1 + 0 - 3)*(2 - 2 + c**5).
12*c**5
Expand (2*q - q + 0*q)*(-1 - 2 + 2)*(-142*q + 11*q + 78*q).
53*q**2
Expand (47 + 3*c - 47)*(10 + 37*c - 17*c - 17*c).
9*c**2 + 30*c
Expand (0*v**3 + 2*v**3 - v**3 + (0*v**3 + 3*v**3 - 5*v**3)*(2 - 1 - 3) + 3*v**3 - v**3 - v**3 - 4100*v + 68*v**3 + 4100*v - 2*v**3 + 0 + 0)*(5*v - 4*v + 0*v).
72*v**4
Expand (-13*f - 7*f + 3*f)*(1 + 2 - 1).
-34*f
Expand 9*m**2 + 6*m**2 - 5*m**2 + (1 - m - 1)*(5*m - 4*m - 4*m) + m**2 + 2*m**2 + m**2.
17*m**2
Expand (-8*i + 14*i + 9*i)*(-8 + 2 + 3) + (-1 + 3 + 0)*(2*i - 1 + 1).
-41*i
Expand (-x + 3*x + 0*x)*(-3 + 0 + 0)*(-19*x + 11*x - 72*x).
480*x**2
Expand (2 - 1 - 3)*(2 - 2 - g)*(60 - 21 - 23).
32*g
Expand (-708 - 780 + 1618)*(1 + 2*t**3 - 1).
260*t**3
Expand (9 - 1 + 13)*(3 - 7 - 3)*(-4 - u + 4).
147*u
Expand (-201*p**2 + 157*p**2 - 71*p**2)*(-4*p + 0*p + p).
345*p**3
Expand (-2 + 5 - 7*p + 8*p)*(-18 + 11 + 78).
71*p + 213
Expand (1 + 1 - 3)*(-2*d + 2 - 2)*(-2 + 1 + 0)*(-78 + 137 + 24)*(-1 + 1 - 4).
664*d
Expand 1 - 4*u - 11*u + 2 + (u - 2*u + 3*u)*(2 - 2 + 1) - u + 0*u + 0*u.
-14*u + 3
Expand (1 + 4 - 3)*(0 - 2*i**4 + 0) + (500*i**2 + 6224 - 6224)*(-2*i**2 + i**2 + 0*i**2).
-504*i**4
Expand 2*l**3 - 6*l**5 + 4 - 4 + (2 - 2 + 2*l + (-3*l + 0*l + 2*l)*(2 + 0 - 1) + 6 + 2*l - 6)*(-l**4 - 2*l**4 + 0*l**4).
-15*l**5 + 2*l**3
Expand (-y + y - 4*y)*(475*y + 665*y - 1 + 4 - 277*y).
-3452*y**2 - 12*y
Expand (-2*w + w + 3*w)*(-1 + 1 + 2)*(-2 - 1 - 1)*(-2 - 1 + 4)*(0*w + 4*w + w).
-80*w**2
Expand (2 - 2 + 3)*(o - 2*o - 6*o)*(2*o + 1 - 1).
-42*o**2
Expand (0*f**4 + 2*f**4 + f**4)*(-1 + 1 - 1) - 23*f**4 - 117*f**3 + 117*f**3.
-26*f**4
Expand ((2 - 4 + 0)*(-3 + 2 - 1) - 7 + 9 + 3)*(4*y**2 - y**2 - 2*y**2)*(2*y**3 - y**3 + 0*y**3).
9*y**5
Expand (-3 + 3 - 2)*(8*q**2 + 6*q**2 - 15*q**2) + 0*q**2 + q**2 + 0*q**2.
3*q**2
Expand (-3*r + 1 - 1)*(-2*r**2 - r**2 - 6*r**2 + (-r + 4*r - r)*(3*r + r - 5*r) - 4*r**2 + r**2 + 0*r**2 + (1 - 1 + r)*(-1 - 2*r + 1) + 2*r**2 - 3*r + 3*r).
42*r**3
Expand (-6 + 0 - 1)*(2*x + 0 + 0)*(0*x**2 + x**2 + 0*x**2) + 0*x**3 + 0*x - x + 4*x**3.
-10*x**3 - x
Expand (-34*t**3 + 153 - 94 - 61 - 71*t**3)*(0 - 1 + 0).
105*t**3 + 2
Expand -91*g + 91*g + 5*g**2 + (2 + g**2 - 2)*(-2 - 3 + 3) + (-14 + 14 + 2*g)*(2 - 2 - 2*g).
-g**2
Expand (3*p + 0 + 0 + 0*p + 2*p + 0*p + (-2 + 0 + 0)*(2*p + p - 2*p) + 0*p + 2*p - 4*p + 71 + 2*p - 71)*(0 - 1 - 5).
-18*p
Expand (2 + 2*w - 2)*((3*w + w + 0*w)*(-3*w**3 + 3*w - 3*w) + 17*w**4 - w - 2*w**2 - 19*w**4 + 3*w**2).
-28*w**5 + 2*w**3 - 2*w**2
Expand (-j - j**3 - 1 + 2*j**3 + 3*j)*(-1 - 4 - 1)*(-12*j - 18*j + 12*j).
108*j**4 + 216*j**2 - 108*j
Expand (3 + 0 - 2)*(-q + 5*q - 2*q) - 14*q - 27*q + 3*q.
-36*q
Expand (7*u**2 + 7*u**2 - u**2)*(-559*u + 5*u**2 + 559*u - 5).
65*u**4 - 65*u**2
Expand -6*v**4 + 3*v**4 + 5*v**4 + 3*v**3 + 2*v**4 - 3*v**3 + (2*v**3 - 3*v**3 - v**3)*(-2*v - 2*v + 3*v) + 0*v**2 + 0*v**2 - v**4 - 66*v - 22*v**4 + 66*v.
-17*v**4
Expand (-1 - 1 + 1)*(0 + 1 - 3 + (-6 + 0 + 4)*(4 + 2 - 4) + 2 - 3 + 0)*(2*o - 3*o - o)*(137*o + 177*o - 238*o).
-1064*o**2
Expand -98 + 195 + 620*z - 97 + (-1 + 1 - 1)*(-1 - z + 1).
621*z
Expand (-j + 2*j - 3*j)*(5*j - 2*j**2 + 2 - 9*j**2 - 3*j).
22*j**3 - 4*j**2 - 4*j
Expand (-2*h**3 - 6*h**3 - 4*h**3 - 2*h**3)*(-25 + 25 - 24*h).
336*h**4
Expand (3 - 5*y - 2 + 0*y + (1 - 1 - 2*y)*(0 + 2 - 4) + 3*y + 0*y - y + 5 - 5 + y)*(-10 - 2*y + 10).
-4*y**2 - 2*y
Expand 3*b**2 - 2*b**5 - 3*b**2 + (162*b**4 + 77 - 77)*(-1 + 1 - 2)*(b + 0 + 0).
-326*b**5
Expand (-2*k + 23 - 11 - 13)*(0 + 3*k + 0).
-6*k**2 - 3*k
Expand (0*s - 2*s + s)*(72 - 149 + 56 - 2*s).
2*s**2 + 21*s
Expand (9*b - 12*b - 12*b)*(-1 - 2*b**2 + b + 2*b**2 + 3*b**2) + (3 - 3 - 6*b)*(b**2 - b**2 + b**2).
-51*b**3 - 15*b**2 + 15*b
Expand (4*i**3 + 114*i**4 - 4*i**3 + 3*i**4 - i**4 - i**4 + 4*i**3 + 2*i**4 - 4*i**3 + (-3 + 0 + 4)*(-4*i**3 - i**4 + 4*i**3))*(3 - 4 - 4).
-580*i**4
Expand (u**2 - u**2 + 2*u**2)*(u + 11*u + 4*u) + (u**3 + 5*u**3 - 4*u**3)*(4 + 0 + 0).
40*u**3
Expand (-2 - 2*w + 2)*(2 + 5 - 2) + 14*w - 20*w - 27*w.
-43*w
Expand -2*g**2 - 8*g**2 + 4*g**2 + 3*g**2 - 2*g**2 - 3*g**2 - 3*g**2 + 3*g**2 + g**2 + (2*g + g - 4*g)*(-g + 3*g - 4*g) + 0*g**2 - 3*g**2 - g**2.
-9*g**2
Expand (13768*p - 6941*p - 7081*p + (-2 + 0 + 1)*(-3*p - 5*p + 6*p))*(0 + 0 + p) + 5*p - 5*p - 2*p**2.
-254*p**2
Expand (x - x + x)*(-x**2 + 2*x - 2*x) - 2*x**3 - 2*x**3 - 3*x**3 - 13*x**3 + 21*x**3 + 27*x**3.
27*x**3
Expand -67*k + 68*k + 5*k**2 - 3*k**2 + (3*k - 5*k - 2*k)*(0*k + k - 2*k).
6*k**2 + k
Expand -i + 0*i + 0*i + (3 + 0 - 2)*(-4 + 1 + 2)*(-129*i - 1436 + 1436)*(2 - 4 + 0).
-259*i
Expand (-166 - 120 - 272)*(-2*o**5 + 0*o**5 + 0*o**5).
1116*o**5
Expand (l - 2 + 2)*(4 - 4 + l) + 2*l**2 + 167*l + 162*l - 356*l.
3*l**2 - 27*l
Expand (1 - 5*w**2 - 8*w**2 - 2*w + 12*w**2)*(2 - 3 + 5).
-4*w**2 - 8*w + 4
Expand 11*b**3 - 10*b**3 + 12*b**3 - 2*b**3 + 3*b**3 - 2*b**3 + (-6*b + 5*b - 4*b)*(0 - 2*b**2 + 0) - b**2 + b**2 + 2*b**3.
24*b**3
Expand (-2 + 2 - b)*(-4*b**4 - 129 + 15*b**4 + 129 - 12*b).
-11*b**5 + 12*b**2
Expand (-106*y - 77*y + 29*y)*(-y + 3*y + 0*y)*(y**3 - 2*y**3 + 0*y**3).
308*y**5
Expand (-7 - 3*q**3 + 1 + 3)*(-3*q + 3*q - 3*q**2) + 3*q**5 + 2*q**5 - q**5 + (0 + 1 - 2)*(-2*q**5 + 3*q**3 - 3*q**3).
15*q**5 + 9*q**2
Expand (-p + 0 + 0)*(-1 + 2 + 0)*(4 + 23 + 5) + (-6 + 2 + 2)*(1 - p - 1) + 3 - 3 + 3*p.
-27*p
Expand (82*z**5 - 107*z**5 + 50*z**5)*(-2 - 4 + 4).
-50*z**5
Expand (2 + i**2 - 2)*((-5 + 1 + 0)*(5 - 2*i - 5) + 2 + 2*i - 2 + (-i + 3*i - 8*i)*(4 - 1 - 4)).
16*i**3
Expand 14*x**2 - 5*x**5 - 5*x**2 - 13*x**2 + (-x**2 - x + x)*(4*x**2 + x**3 - 4*x**2).
-6*x**5 - 4*x**2
Expand (-26561*k**2 - 28196*k**2 + 51584*k**2)*(0*k + 3*k**2 + k - k**2).
-6346*k**4 - 3173*k**3
Expand (-3 - 1 + 2 + (-3 + 3 + 2)*(225 - 500 + 208))*(-4*d**3 + d**3 + d**3).
272*d**3
Expand (-13*q**4 + q**2 - 6*q**4 + 24*q**4)*(5*q - 6*q + 2*q + (0 + 0 + q)*(1 + 0 - 3)).
-5*q**5 - q**3
Expand (2 + 0 - 4)*(g - 4*g + 0*g) + (4*g - 2*g - 3*g)*(2 + 0 + 3).
g
Expand (12 - 30 + 15 + (-2 + 5 - 1)*(0 + 0 - 1) + 2 - 2 - 1)*(0*b - 2*b + b)*(1 + 3 - 2).
12*b
Expand z**2 + z**2 + 7*z**2 + (4*z + 2*z - 4*z)*(4*z - 3*z + 0*z)*(-5 - 2 + 3).
z**2
Expand (v**2 + v**2 + 0*v**2 + (2*v - v - 2*v)*(-5*v + 3*v + 3*v))*(-5 - 15*v**2 + 5) - 4*v**4 - 4*v**4 + 4
|
{
"pile_set_name": "DM Mathematics"
}
|
3*u + 10 = -2*u. Let a(l) = -5*l**3 - l**2 + 2*l. Let o be a(u). Let d = -48 + o. Is d greater than or equal to -15?
False
Let m = 18969 - 42433651/2237. Is 0 > m?
False
Let b = -10492631/24 - -437042. Let k = -151 - b. Which is smaller: k or 0?
k
Let c(k) = k**3 - 4*k**2 + k + 2. Let x be c(4). Suppose 5*w + d = -44, -x*d = -5*w - 2*d - 49. Let m = 7 + w. Which is greater: 0 or m?
0
Let o be 20/6*(5 - 65/10). Is o at most as big as -7?
False
Let y(r) = r**3 - 29*r**2 + 26*r + 63. Let x be y(28). Let s be (-15)/(-28) - (-2)/(-7). Is x at most s?
False
Let q(a) = -a**3 + 12*a**2 + 12*a + 14. Let w be q(13). Let c = 134 + -2545/19. Which is bigger: c or w?
w
Let g be (6/(-3))/((1 - -133) + -5). Which is greater: -1/2 or g?
g
Let k = 1.84 + 0.06. Let q = 2.03 - k. Let g = q - 0.16. Which is smaller: 2/3 or g?
g
Suppose 0 = 31*k + 9*k. Do -28 and k have different values?
True
Let b = -18307/525 + 244/7. Suppose j - 3*i - 13 = 0, 0 = -6*j + 2*j + 5*i + 24. Which is smaller: j or b?
b
Let d = 63 - 64.53. Which is smaller: -0.1 or d?
d
Suppose -v = 2*o + 9, -o - 12 = 3*v + 2*o. Let b be 102/21*5/(-84). Let l = -1/294 - b. Which is smaller: l or v?
l
Suppose 0 = -2*w - f - 1, -3*w + 3*f + 4 = -8. Suppose w = -r + 8. Suppose -5*d = 4*p - 13, 5*p - r = -4*d - 2. Are -3 and p non-equal?
False
Let t = 9 - -18. Suppose -5*m - g + t = -0, -3*g = -m + 15. Does m = 5?
False
Let c = -16917 - -16917. Let p be (2/72)/(8/6). Which is smaller: p or c?
c
Let g = 28 - 28. Suppose 2*r = 5*c + 93, -35 = -g*c + 3*c + 4*r. Which is greater: c or -18?
c
Let o = 7 + -6.1. Let d = 2.3 - o. Let f = d - 1.9. Which is greater: 0 or f?
0
Let y = 13554/13 + -1042. Which is smaller: 2/7 or y?
2/7
Let r(y) = 4*y**3 - y**2 - 4*y + 3. Let p be r(1). Suppose 0*z = 3*z. Which is smaller: p or z?
z
Suppose 0 = 15*c - 49*c - 646. Which is greater: -30 or c?
c
Let b = -90 + 119. Let z = 36 - b. Let r = -2 + 2.1. Which is smaller: r or z?
r
Let m(p) = -3*p**2 - p + 9. Let k be m(8). Let t = 13986 + -96561/7. Let g = t + k. Are 0 and g equal?
False
Let q = -16 - -25. Let i = 182 + -182. Which is greater: q or i?
q
Let o = -114 + 36. Let m be (-35)/7*234/15. Does o = m?
True
Let v = -1801 - -848267/471. Is 1 smaller than v?
False
Let g(f) = -f**3 - 18*f**2 + 18*f - 9. Let m be g(-19). Suppose -u + m - 6 = 0. Which is bigger: u or 5/2?
u
Let p = 168 + -100. Let h = -96 + p. Is 1/2 less than or equal to h?
False
Let x be (-125)/(-110)*1236/1282. Let i = -3/641 + x. Is 0 < i?
True
Let j be 896448/20482 + (-4)/38. Let z = j + -298/7. Let h(d) = -d + 7. Let s be h(7). Does s = z?
False
Let m be (1 + -11)/(20/(-370)). Is m <= 187?
True
Let t(q) = -q**3 - 5*q**2 + 3*q - 2. Let f be t(-4). Let d be 4/10 - (-42)/f. Which is bigger: -16/7 or d?
d
Let b be (-4)/14 - (-24)/(-14). Let f be ((-10)/(-8))/(b/8). Suppose -44*q - 18 = -41*q. Is f >= q?
True
Let j = 1027 + -1126621/1097. Are j and -1 non-equal?
True
Let s be (-2)/(-8) + (-204)/688. Let m = -6 + 7. Suppose -5*p = m - 6. Is p less than s?
False
Suppose -o - 2*o - 144 = -2*n, 3*n = -4*o + 250. Which is smaller: n or 77?
77
Let q = -7.34 - 8.66. Which is greater: 0.1 or q?
0.1
Let r be 2/5 - (-3)/((-1620)/(-1989)). Which is bigger: r or 3?
r
Let t be (-13264)/(-6) - 7/(-21). Let c = -11093/5 + t. Is -8 > c?
False
Suppose -1 = -3*z + 14. Suppose 15 = -5*a - z*j, 0 = 5*j + 4 - 14. Is a at least as big as -9?
True
Suppose 4*y = 9*y - 15. Let i be 29/(-87)*y/10. Is i greater than or equal to 0?
False
Let s(m) = m**2 - 17*m - 42. Let g be s(19). Let o = -10 + 8. Is o < g?
False
Let z = -16307190 + 2168866762/133. Let b = z - 550/7. Is b bigger than -1?
True
Let y(c) = -5*c**2 + 4*c**2 + 8*c - 4*c**2 - 17 + 4*c**2. Let v be y(5). Which is bigger: -1 or v?
-1
Let q = 88.3 + -88. Which is greater: 114 or q?
114
Let c = 70.7 - 68. Let n = 2.92 - c. Let i = 0.12 - n. Which is greater: i or 2?
2
Suppose -3*t + 4*f = 14 - 30, t + 8 = -2*f. Which is bigger: 1/182 or t?
1/182
Let w = -4/1347 - 2618/25593. Suppose -3*g = -0*g - 12. Suppose 0 = -0*f - 4*f - g. Does f = w?
False
Let g be 19*(-1)/2*-4. Suppose 58 = 2*l - 4*n, -4*n + 55 + 72 = 3*l. Are g and l equal?
False
Let z = -8.933 + 9. Let g = 0.267 - z. Which is smaller: g or 2/5?
g
Let p = -19 + 2. Let i = p - -17. Let l = 0.04 - -2.96. Which is bigger: l or i?
l
Let g be (-36)/(-9) + 8/(-2). Suppose 3*i = -22 - 8. Let r be (-4)/i*(-1)/2. Which is smaller: r or g?
r
Let g = -16 - 0. Let t = g + 16. Which is smaller: t or 47?
t
Let j be 2/(2508/(-385)) - 2/(-6). Is j greater than 0?
True
Let m(o) = -o**3 - 6*o**2 - 6*o - 2. Let q be m(-5). Suppose q*l + 33 = -78. Is l > -36?
False
Let f be -8*5/(-25) + -1 + -1. Is -97 bigger than f?
False
Let q be (-6)/((-9)/(-3)) + (-4 - -4). Let s be q*1*(6/6)/(-1). Which is bigger: 3 or s?
3
Let d be 3*(-3)/12*32/(-12). Suppose 0*p - d*p - 66 = 0. Is p greater than or equal to -33?
True
Suppose 11 = k + 12. Which is smaller: -1/683 or k?
k
Let h be (4 - 246/63) + (-1792)/6468. Let b = 1 + 0. Which is greater: b or h?
b
Let k(x) = -3*x - 14 - 3 + 2*x. Let r be k(-12). Let w = 1223/7 - 175. Which is bigger: r or w?
w
Let z be (4 - (-6)/3)*1. Let w(g) = -g**2 + 4*g + 11. Let b be w(z). Let t be (-7)/(-42) + 122/(-84). Which is greater: t or b?
b
Suppose -2907*t - 288 = -2908*t. Which is bigger: t or 289?
289
Let t = -3/2305 - 168232/25355. Which is greater: -8 or t?
t
Let q = -7 - -3. Let z(u) = u**2 + 3*u - 4. Let h be z(q). Is 1/3 greater than h?
True
Let k = 360 + -405. Which is bigger: k or -44?
-44
Let s = 0.35 - -15.65. Let v = s - 16.2. Is -10 greater than or equal to v?
False
Suppose 5 = h - 4. Let w = 183 - 176. Is h equal to w?
False
Let r = -97 + 209. Do r and 111 have different values?
True
Let k(b) = b**3 - 5*b**2 + 2*b + 4. Let s be k(4). Let i be (6/10)/(s/60). Let h = 2 + -1. Is i bigger than h?
False
Let m = -6189 + 414655/67. Is m at least 0?
False
Suppose -33 = -5*t - 8. Let f be ((-5)/(-15))/(4/84). Is t less than f?
True
Suppose 0 = 13*l - 0 + 130. Is l bigger than 1?
False
Let k(q) = 2*q**3 + 2*q**2 - 7. Let a be 9/(-135)*2 + 86/(-30). Let h be k(a). Which is bigger: h or -42?
-42
Suppose 12*d - 16 = 4*d. Suppose 0 = y + 4, 4*y = d*v + 5*y + 6. Does v = 0.3?
False
Suppose -61*n + 57*n = 196. Let b be 70/n*(-8)/20. Let s be -2 - (1 - (-1 - -4)). Is b not equal to s?
True
Let q(u) be the first derivative of -u**3 + u**2/2 + 2*u + 11. Let d be q(-1). Which is greater: d or 14?
14
Let w = 0.1 + 2.3. Let i = -2.5 + w. Let r be 7/(-6)*2/(-14). Which is smaller: r or i?
i
Let c = 75 + -86. Is c > -61/6?
False
Let a = -24894 - -35922040/1443. Which is bigger: 0 or a?
0
Suppose 5*n = 4*t - 500, -2*n = t + 81 + 106. Which is bigger: -0.1 or n?
-0.1
Suppose -11*c + 22 = 11*c. Are c and -3/484 unequal?
True
Let l = 6 + -6. Let o = 2 - 0. Suppose 2 = o*w - 2. Which is bigger: w or l?
w
Let t = 65 - 847/13. Let z = 38 + -5. Suppose 5*n = -28 + z. Is t < n?
True
Let h be (939/27*-3)/(35/42). Which is smaller: h or -126?
-126
Suppose 0 = -2*n + 2*l - 40, l - 2 = -0. Let s = -13 - -21. Let f be 19/(-4)*s/2. Does f = n?
False
Let z be (162/(-936))/((-1)/(-72)). Which is greater: z or -13?
z
Suppose 2*g + 10 = -2*i - 16, 4*i - 20 = 2*g. Let v be (1/8)/((-6)/g). Let r = 3 + -7. Which is greater: v or r?
v
Suppose 0 = -10*y + 8*y + 44. Suppose v - 17 = -n, 4*n - 5*v - y = 1. Suppose 0 = -s - 4*m - n, 2*s + 4*m = -0*m - 16. Which is smaller: -3 or s?
s
Let j = 24.33 - 27.33. Is 21 bigger than j?
True
Let v = 15 - 8. Let r(p) = 2*p - 4. Let c be r(v). Let o(w) = w + 12. Let b be o(0). Is b at most as big as c?
False
Let v be (-2964)/9 - (-8)/(-12). Is -330 not equal to v?
False
Let u(t) = -t**3 - 28*t**2 - 24*t + 81. Let d be u(-27). Are 1/252 and d equal?
False
Suppose 0 = 9*x - 148 - 383. Let j = x + -48. Which is smaller: 9 or j?
9
Let z = -3.076 + 3.276. Which is smaller: z or 150?
z
Let r(k) = 48*k - 4. Let t be r(8). Which is greater: 2 or t?
t
Let l = -113 - -119.1. Let h = l + -6. Is -2/9 bigger than h?
False
Suppose 0 = -5*y - 2*w + 5*w + 19, -10 = -5*w. Suppose 0 = -m - 4*k + y*k + 7, -10 = 2*m + 4*k. Suppose -3*u - m = 36. Which is smaller: -14 or u?
-14
Suppose -8 = y + 4*p + 6, y + 10 = -3*p. Suppose 0 = 3*v + y + 1. Let k = 1209/7 + -173. Is v not equal t
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) 1/3 (b) -12212 (c) 0.5 (d) -4/5
c
Which is the closest to 0.2? (a) -0.3 (b) 3 (c) 4 (d) -3/4
a
Which is the nearest to 1? (a) -0.012 (b) -3/4 (c) -5
a
Which is the closest to -0.1? (a) 2/5 (b) 0.01 (c) -491
b
Which is the closest to 0.2? (a) -5 (b) 10 (c) -0.2
c
What is the closest to 4 in 0.2, 3, 2, -0.3?
3
Which is the nearest to 2? (a) 14 (b) -1/4 (c) 0.5
c
Which is the nearest to 1? (a) 66 (b) -0.2 (c) -2/15
c
What is the nearest to 4 in 2/3, 6/5, 0.3?
6/5
What is the closest to -1/4 in 5, -3, -0.1, 75?
-0.1
Which is the nearest to -1/2? (a) 0.1 (b) 14 (c) -0.5
c
What is the closest to -1 in 0.4, -0.5, -3/4, 19?
-3/4
Which is the nearest to 1/3? (a) -0.2 (b) -2.2 (c) -0.3
a
Which is the closest to -3? (a) -2/9 (b) -1/6 (c) 3.2 (d) 0.1
a
What is the closest to -3 in 2, 424, 1?
1
What is the nearest to 1/6 in 19, -0.1, -1/3?
-0.1
What is the nearest to -1 in 0.5, -5, -2/5, 8?
-2/5
Which is the nearest to 2? (a) 0.01 (b) 4 (c) 2 (d) -0.2
c
What is the nearest to -3 in 6, 14, -1/3?
-1/3
Which is the nearest to 1/6? (a) -0.1 (b) 0.3 (c) 7
b
What is the closest to 1 in 5, 1/4, 1, 26?
1
What is the nearest to 0.1 in -1, 4/21, -0.5, -5?
4/21
What is the nearest to 3 in 0.1, -0.1, 1?
1
Which is the nearest to -2/7? (a) 119 (b) 5 (c) -4 (d) -3
d
What is the closest to -3 in 0, -0.5, 1, 4?
-0.5
Which is the nearest to -0.1? (a) 2/3 (b) 1/3 (c) 21 (d) -4
b
What is the nearest to 0.2 in -1/5, -2, 5/3?
-1/5
Which is the closest to 0.2? (a) 10 (b) 2/7 (c) 2
b
Which is the nearest to -2? (a) 3 (b) 3/10 (c) -5 (d) -0.3
d
Which is the nearest to 1208? (a) 3/4 (b) -2/15 (c) -0.2 (d) -5
a
Which is the closest to 0? (a) 0 (b) -5 (c) -18
a
What is the nearest to -0.2 in 7/3, 1, 2/11?
2/11
Which is the closest to 17? (a) 27 (b) -1/3 (c) -3 (d) 0.3
a
What is the closest to 0.3 in 0.4, -1/3, -0.054?
0.4
What is the nearest to -0.1 in 0.018, 1, -1/4?
0.018
Which is the nearest to -3/2? (a) 3 (b) -3 (c) -1/14 (d) 4/3
c
Which is the nearest to 1? (a) -1/5 (b) -5 (c) 0.013 (d) 0
c
Which is the nearest to 6/35? (a) 0 (b) -4 (c) -2/5
a
What is the nearest to 0.65 in 2/3, 2, -0.3?
2/3
Which is the closest to -1? (a) -0.4 (b) -4 (c) -0.2 (d) -5/3
a
What is the closest to 12.97 in 1/2, 4/7, 3, -5/6?
3
Which is the nearest to -0.2? (a) -2.3 (b) -0.1 (c) 55
b
Which is the closest to -2? (a) 3/4 (b) -0.3 (c) -0.04
b
Which is the closest to -1? (a) -10 (b) 0 (c) 29.3 (d) 4
b
What is the nearest to -4 in 5, -2/7, -1/2, 2/3?
-1/2
What is the nearest to -0.59 in -3/2, -0.5, -2/9, 0?
-0.5
What is the closest to 11 in -5, 0.08, 5/7?
5/7
What is the closest to -12 in 3, -2, -0.1?
-2
What is the nearest to 0.2 in 0.4, 2/107, -3?
2/107
What is the closest to 46 in -0.2, -4, 4, 3?
4
Which is the nearest to 0.03? (a) 0.4 (b) -4 (c) -1 (d) 17
a
What is the nearest to -3 in 0.1, 104, -6?
-6
Which is the closest to -2/7? (a) -1/3 (b) -4 (c) 4
a
Which is the nearest to 0? (a) -2/7 (b) 2 (c) -213
a
What is the closest to -3/25 in 1/2, -4, 4/7?
1/2
Which is the nearest to -0.07? (a) -1 (b) 2/25 (c) -5
b
Which is the nearest to -1? (a) 6 (b) 3 (c) 1.4 (d) -0.5
d
Which is the closest to -0.01? (a) 756 (b) 5/2 (c) -3
b
Which is the closest to 2/5? (a) -1/8 (b) -3 (c) -5 (d) 0.09
d
Which is the nearest to -5? (a) 5 (b) -0.1 (c) 0.5 (d) 1/5
b
Which is the closest to -0.04? (a) 3/110 (b) -1 (c) -0.3
a
What is the nearest to 1 in 38, 2, 1/4?
1/4
What is the nearest to -0.1 in 2/3, -2/3, 3/2, 1?
-2/3
Which is the nearest to -1/3? (a) 3 (b) 4 (c) 1.4
c
Which is the nearest to -3? (a) 8.7 (b) -2/3 (c) 0.2
b
What is the nearest to 3 in 2/9, 0.3, -2/7?
0.3
Which is the nearest to -0.2? (a) 19 (b) 3 (c) -4 (d) -3
d
Which is the closest to -0.2? (a) 2 (b) 198 (c) 1/7 (d) -0.4
d
What is the nearest to 1/23 in 0, 5, -4?
0
Which is the closest to 1.15? (a) -0.1 (b) 0.5 (c) 4 (d) 3/2
d
Which is the closest to 0.1? (a) -0.6 (b) 2 (c) 3 (d) -0.4
d
Which is the nearest to 0? (a) -3 (b) 33 (c) 4 (d) 0.2
d
Which is the closest to -3? (a) -1/5 (b) -3 (c) 0.11
b
What is the nearest to 0.2 in 12/13, -0.1, -0.5, -0.2?
-0.1
Which is the nearest to 2/13? (a) -3 (b) 0.3 (c) -120 (d) -4
b
What is the closest to 0.8 in -15, -2/9, -0.2, -2?
-0.2
Which is the closest to -2? (a) 2/7 (b) -0.01 (c) 2 (d) -1/2
d
Which is the closest to -4? (a) 2/3 (b) -3/2 (c) -0.16
b
Which is the nearest to 3/5? (a) -1/5 (b) 0.4 (c) -7 (d) 0.5
d
Which is the nearest to 0.3? (a) 21 (b) 0 (c) -4/3
b
Which is the nearest to -0.6? (a) 2/7 (b) -2/5 (c) -1/4
b
What is the closest to 0.8 in -5/4, -3, -0.14, 0.5?
0.5
Which is the nearest to 0.2? (a) -1 (b) -25 (c) -0.4
c
Which is the nearest to 0.1? (a) 2 (b) -6.9 (c) -2/3
c
Which is the closest to 0? (a) -1/6 (b) 0.5 (c) -0.14
c
Which is the closest to 0.1? (a) -2.444 (b) 3/4 (c) 0.5
c
Which is the nearest to 0? (a) 14 (b) -3 (c) -2
c
What is the closest to -2 in 0.09, -0.3, -2/15, -0.5?
-0.5
What is the closest to -1 in -2/9, -21, 0.5, 3?
-2/9
What is the closest to 1 in -5/2, 1/5, 76, -0.2?
1/5
Which is the closest to 1/3? (a) -0.3 (b) -2/15 (c) -2/3
b
What is the closest to -1 in -20, -3.3, -0.2?
-0.2
Which is the closest to -30? (a) -3/5 (b) 2 (c) 2/7 (d) 0
a
Which is the nearest to 2/3? (a) -0.05 (b) -2 (c) -1
a
Which is the closest to -26? (a) -5 (b) -0.5 (c) -2 (d) -2/13
a
What is the closest to 1/2 in 3, 8, -4?
3
Which is the nearest to -3/14? (a) 1/5 (b) 1/4 (c) -2 (d) 0
d
What is the closest to 0 in 1/5, -0.01, -57?
-0.01
Which is the nearest to 1? (a) 0.03 (b) -18/7 (c) -2/7
a
Which is the nearest to -0.2? (a) -0.1 (b) 0.4 (c) 2 (d) -4
a
Which is the closest to 1? (a) 7 (b) 48 (c) 3
c
Which is the closest to 0.12? (a) 4 (b) -2 (c) -1/5 (d) -2/3
c
Which is the closest to -2/3? (a) -0.2 (b) -3 (c) 5
a
What is the nearest to 0 in -1, -162, 4, -2/7?
-2/7
Which is the nearest to -0.07? (a) 0.1 (b) 4 (c) 1/3 (d) -0.17
d
What is the closest to 0.3 in 0.09, 5, 2/7?
2/7
Which is the nearest to -0.2? (a) -0.1 (b) 0 (c) -1
a
Which is the nearest to 22? (a) 0.2 (b) -2 (c) 2
c
What is the closest to 10 in -3, 2, 100?
2
Which is the closest to 0? (a) 1/35 (b) -3 (c) -1 (d) -7
a
What is the closest to -3 in -2/11, 0, -6/19, 2?
-6/19
What is the nearest to 2/13 in -0.5, -3/4, 0, -0.06?
0
Which is the nearest to 4? (a) 4 (b) 6 (c) 0
a
Which is the closest to -2? (a) -23 (b) 3/4 (c) 0.3 (d) 4
c
Which is the closest to 5? (a) -2 (b) -4 (c) -1
c
Which is the nearest to 3? (a) -2/115 (b) 2/9 (c) -2/21
b
Which is the closest to 109? (a) -1/3 (b) -1/4 (c) 0.5
c
What is the nearest to 0.3 in 1/3, 1/6, -1?
1/3
What is the nearest to -1/4 in -0.4, 1/16, 3?
-0.4
Which is the closest to -2/5? (a) -0.2 (b) 5 (c) -1/7 (d) -4
a
What is the closest to 0.07 in -3/5, 0.4, -2/9, 0.2?
0.2
Which is the closest to 8/13? (a) 1 (b) 0 (c) -0.1 (d) 4
a
Which is the closest to -1/12? (a) 1/2 (b) 5 (c) -1/8
c
What is the nearest to -4/5 in 0.12, 0.1, -2/21?
-2/21
What is the nearest to -5 in 1.6, 3, 2?
1.6
Which is the nearest to 31? (a) -0.1 (b) -4 (c) 3
c
What is the closest to 0 in -18, 0, 0.6, -0.5?
0
What is the closest to -0.2 in 46, -1, 6?
-1
Which is the closest to 0.1? (a) 0.1 (b) 1 (c) 2 (d) -2
a
What is the closest to -1/3 in 0.3, -0.3, -278?
-0.3
What is the nearest to -1/4 in -1, 0.2, -24/7, -1/4?
-1/4
What is the nearest to -2/13 in -0.2, 79, 1, 0.4?
-0.2
What is the nearest to 1/6 in -7, 0.4, -2?
0.4
Which is the nearest to 2? (a) 0 (b) -0.1 (c) -98 (d) -3
a
Which is the nearest to -18? (a) -4 (b) 2/23 (c) -0.2
a
Which is the nearest to -1? (a) -2/7 (b) 4/205 (c) -4
a
Which is the closest to -1/3? (a) 4 (b) -0.1 (c) -0.01 (d) -4/7
b
Which is the closest to 0.1? (a) -4 (b) 6/11 (c) -3/2
b
What is the closest to 0.1 in 22, -2, -1/17?
-1/17
What is the nearest to -2/9 in -5, -5.4, 2?
2
What is the closest to -0.1 in 32, 0.4, 0.3?
0.3
Which is the nearest to 1? (a) -2 (b) 46 (c) -3/7
c
What is the nearest to 121/5 in 4, 0, 5?
5
What is the nearest to -1 in 0, 2, 5, -0.3?
-0.3
What is the closest to 1/4 in 2/5, 0.11, -2/15?
0.11
W
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1))*(0*x + 0*x + 2*x**2).
-12*x**3
Expand 2*j - 5*j - 2*j + (1 + 1 - 1)*(-j - 1 + 1).
-6*j
Expand (-5*g + g + 2*g)*(2*g + 2*g - 6 - 2).
-8*g**2 + 16*g
Expand (4 + 1 - 1 + (3 + 0 - 5)*(-1 + 0 - 1))*(-2*u**2 - u**2 + 2*u**2).
-8*u**2
Expand 13*i**4 - 8*i**2 + 8*i**2 + (1 + i**2 - 1)*(4*i**2 - 3*i**2 - 3*i**2) + 0*i**4 - i**4 + 0*i**4 - 2*i**4 + 6*i**4 - 2*i**4.
12*i**4
Expand (-2*d + 3 - 3)*(-6*d + d + 3*d) + (2 - 2 + 2*d)*(4*d + 4*d - 2*d).
16*d**2
Expand (-3*w - 3*w + 5*w)*(-6*w**2 - w**2 + 4*w**2) + 0*w**3 + 0*w**3 - w**3.
2*w**3
Expand (-2*w**3 + 2 - 2 + (-6*w + 4*w + 3*w)*(-2*w**2 + 4*w**2 - 4*w**2) + 8*w**3 + 9*w**3 - 1 - 5*w**3)*(-w**2 - 2*w**2 + 4*w**2).
8*w**5 - w**2
Expand 4*m**2 - 4*m**2 - m**3 + (2*m**2 + 3*m**2 - 6*m**2)*(-2 + 2 - 2*m) + 0*m + 2*m**3 + 0*m.
3*m**3
Expand (4*v**3 + v**3 - 4*v**3)*(-2*v**2 - v**2 + 2*v**2)*(12 + 0 + 5).
-17*v**5
Expand (-2*h + h + 0*h)*(2 - 3 - 1) + 7*h - 10*h - 4*h - h + 2*h + h + 0 - 2*h + 0 - 2*h + 4*h + 0*h.
-3*h
Expand (65 - 62 - 174 - 138)*(z**3 - 3*z**3 + z**3).
309*z**3
Expand -2*f**3 - f**3 + 4*f**3 + (3*f - f + 0*f)*(-9*f**2 + 6*f - 6*f).
-17*f**3
Expand -3*h**2 + 2*h**2 + 3*h**2 + (3*h - 5*h - h)*(-3*h + 4*h + h) + 2*h**2 - 2*h**2 - 2*h**2.
-6*h**2
Expand (-1 + 2 - 2 + (-1 - 1 + 0)*(5 - 3 - 1) + 0 - 2 + 3)*(-2*h + 64 - 64).
4*h
Expand (-5 + 1 + 3)*(11*v - 17*v - 11*v).
17*v
Expand 2*z - z**2 - 2*z + 5*z**2 - 4*z**2 + 7*z**2 + z**2 + 0*z**2 + 0*z**2 + (-z - z + 4*z)*(2*z - 5*z + z).
4*z**2
Expand -2*g - 1 + 1 - 225 + 225 + 21*g + (-g - g + 0*g)*(-1 + 1 + 2) + (4 - 2 + 0)*(-g - 2*g + g).
11*g
Expand (-3*r - 9*r + 3*r)*(0*r**2 - r**3 - 3*r**2 + r**2).
9*r**4 + 18*r**3
Expand (-1 - 3 + 6 + (3 + 3 - 7)*(1 + 2 - 4))*(3*o - o + 0*o).
6*o
Expand (6*l - 4*l + 10*l)*(2*l - 1 + 1) - 2*l**2 + 3 - 3.
22*l**2
Expand 0*a**5 - 3*a**5 + a**5 + (2*a**3 + 4 - 4)*(a**2 - 4*a**2 + a**2).
-6*a**5
Expand 6*h + 0*h - 4*h + (-1 - 1 + 4)*(h - h + 2*h) - 6 + 1 + h - 7.
7*h - 12
Expand (2*g + 3*g - 4*g)*(2*g**2 - 5*g**2 + g**2) + 3*g**3 - 2*g**3 - 4*g**3 + (2*g**2 - 2*g**2 + g**2)*(-2*g + 0*g + g) - 10*g**3 - g**3 + 2*g**3.
-15*g**3
Expand (15*j**4 - 6*j**4 + 10*j**4)*((-2 + 3 + 1)*(-j + 0 + 0) + 0 + 0 - j).
-57*j**5
Expand (0*o**2 + o**2 + o**2)*(5 - 2 - 2)*(o - 4*o + o).
-4*o**3
Expand -41 + 41 - 5*j**4 - j**4 - 1 + 1 + (10*j**2 + j**2 - 6*j**2)*(2*j**2 - j + j) + j**4 - 2*j**4 + 2*j**4.
5*j**4
Expand (-3*w**2 + 6*w**2 - 2*w**2)*(-4*w**3 + 0*w**2 + 0*w**2) + 14*w**2 + 0*w**5 + 0*w**5 + w**5 + (w**2 - 3*w**2 + 3*w**2)*(w**3 - w**3 + w**3).
-2*w**5 + 14*w**2
Expand (3*a + 0*a + a)*(-a**2 - 2*a**2 - 2*a**2).
-20*a**3
Expand (4 + 3*m - 4)*(-3 + 4 + 1).
6*m
Expand -15*y**2 + 7*y - 7*y - 2*y + (-4*y + 5*y + y)*(5 - 5 + 4*y).
-7*y**2 - 2*y
Expand (-3*s**5 + 0*s**5 + s**5)*(-5 + 1 + 2) + (-s**4 - 4*s**4 + 2*s**4)*(-2*s + 0*s + 7*s).
-11*s**5
Expand (-16*d**2 - 18*d**2 + 26*d**2)*(-d**2 - 5*d + 5*d + d**2 - 1 + 1 + (-2*d - d + d)*(3*d + 0*d - d)).
32*d**4
Expand -z**2 + 5*z**2 - 2*z**2 + (4*z**2 - z**2 - 2*z**2)*(16 - 18 + 18).
18*z**2
Expand (-2*a + 2*a**4 + 2*a)*(-3 - 1 + 1).
-6*a**4
Expand (3 + 3 - 3)*(-2 + y**2 - 18*y - 15*y + 30*y).
3*y**2 - 9*y - 6
Expand (8*r**5 - 5 - 11*r**5 + 3)*(0 + 0 + 3) + 2*r**5 - r**5 - 3*r**5.
-11*r**5 - 6
Expand 5*c - 5*c - 2*c + (0*c + 3*c - 2*c)*(0 + 5 - 4) - 5 + 5 + 6*c + 2*c + 0*c + 2 - 1.
7*c + 1
Expand (-2 + 0*w**2 + 1 - 2*w**2)*(-2 + 1 + 12)*(-4 + 2 + 4).
-44*w**2 - 22
Expand (-s + 0*s - s)*(-5 + 4 - 1)*(-1 + 1 + 4*s).
16*s**2
Expand (4 - 7 + 1 + (0 + 0 - 1)*(4 - 1 - 2))*(-l - 2*l + l)*(6*l**2 - 11 + 11).
36*l**3
Expand (4 + o - 5 + 0)*(101*o + 6 - 103*o + 1).
-2*o**2 + 9*o - 7
Expand (-2*g**4 - 2*g**3 + 2*g**3)*(3 - 2 + 1) - g**4 + 2*g**4 + 8*g**4 + (-1 - 3 + 2)*(-4*g**4 + 0*g**4 + 2*g**4).
9*g**4
Expand (-3*k**2 - k**2 + 2*k**2)*(-10 + 7 + 1) + 1 + k**2 - 1.
5*k**2
Expand 4*d - 3*d**2 - 4*d + (2 + d - 2)*(-5 - 2 - 1)*(-3 + 3 - 1)*(3*d - 3*d + d).
5*d**2
Expand (3 - 1 - 3)*(5*y**4 + 2*y**3 - 2*y**3)*(-3*y + 2*y - y).
10*y**5
Expand (2*f - 4*f + 4*f)*(f - f - f**4) + 9*f - f**5 - 9*f.
-3*f**5
Expand (12 - 49 + 17)*(-m**4 + 5*m**4 - 3*m**4).
-20*m**4
Expand (2 - 1 - 3)*(5*j - 5*j + 2*j) + (j + 0 + 0)*(-1 + 5 - 2) + 32*j - 24*j - 19*j.
-13*j
Expand (17*j**2 + 20*j**2 - 22*j**2 + (-j**2 + 3*j**2 - 3*j**2)*(-4 - 1 + 7) + 6*j**2 - 3*j**2 - 2*j**2)*(1 + 0 + 0).
14*j**2
Expand 4*u + 4*u - 3*u**4 - 7*u + 2*u**4 + 0*u**4 - u**4 + 0*u**4 + 3*u**4 - u**4 + (0*u + 0*u + 2*u)*(u**3 - u**3 + u**3).
2*u**4 + u
Expand (-3*w + 12*w + 2*w)*(1 + 1 + 0)*(-2*w - 3*w + 4*w).
-22*w**2
Expand (-g - g - g)*(-2*g + 5*g - g) + (-g - 3*g + 3*g)*(0*g + g - 3*g).
-4*g**2
Expand 4 + 2*q**4 - 4 + (q - q - 2*q**2)*(-q**2 + 3*q**2 - q**2) - q**3 - q**4 + q**3 - 5*q**4 + 4*q**4 - 6*q**4.
-8*q**4
Expand (-6*y + 2 - 2)*(-y + 2*y**2 + y) - y**2 + 5*y**2 - 5*y**2 - 2*y**3.
-14*y**3 - y**2
Expand (-q**2 + 1 - 1)*(0*q + q - 2*q) + q**3 - 1 + 1 + 0 + 0 - q**3 + (-q**2 + 5*q**2 - 5*q**2)*(-q - q + 5*q).
-2*q**3
Expand -s**5 + s**5 + s**5 + (3 - 3 - 5*s)*(3*s**4 - 3*s**4 - 2*s**4) + (-2*s**4 + 2*s**4 - s**4)*(-3*s + 2*s + 2*s) - 2*s**5 + 2*s**5 - 3*s**5.
7*s**5
Expand (-301*v**3 + 65*v**4 + 301*v**3)*(-4*v + v + 5*v)*(2 - 1 + 1).
260*v**5
Expand (-3 - 11 + 1)*(-1 + 2*a + 1 - 1).
-26*a + 13
Expand (0*x + x - 3*x)*(2*x + 3 - 3) + 8 + x - 18 - 2*x**2 + x**2.
-5*x**2 + x - 10
Expand ((-1 + 1 - m)*(3 - 3 + 1) + 2 - m - 2)*(-5 - 6 + 16).
-10*m
Expand -2 + 2 + 2*g**3 + (0 + 4 - 7)*(3*g**2 + 4*g**3 - 3*g**2) + 0*g**3 + 3*g**3 - 6*g**3.
-13*g**3
Expand (3*k**5 + 2*k**5 - 4*k**5 + (0 + 2*k + 0)*(3*k**4 - 2*k**4 + k**4) + 3*k**5 + 0*k**5 + 4*k**5)*(-1 - 1 + 3).
12*k**5
Expand 2*u + u - 2*u + 4 - 3 + u - 6*u - 4 - u + 4 + (-1 + 1 - 2*u)*(-3 + 0 + 2).
-3*u + 1
Expand -d**2 + 0*d**2 + 2*d**2 + (-d**2 + d**2 + 9*d**2)*(1 - 1 - 1).
-8*d**2
Expand (-z + z + 2*z)*(4 - 3 - 2)*(18 - z - 18).
2*z**2
Expand (-2*q + 2*q - 2*q**4)*(-5 + 1 - 4)*(2 + 1 + 0).
48*q**4
Expand (-2*h + 4*h + 0*h)*(-h - 4 + 4) + 19*h - 13*h**2 - 19*h + (h - 1 + 1)*(5*h - 5*h - 2*h).
-17*h**2
Expand (-3 + 2 - 1)*(1 - 1 + 3)*(0*h - 3*h + 2*h).
6*h
Expand (1 + 0 + 1 + o)*(5*o - 3 - 5*o + 4*o**2).
4*o**3 + 8*o**2 - 3*o - 6
Expand ((-4 + 1 + 4)*(2*k - 1 + 1) + 3*k - 6*k + 2*k)*(-1 + 4 - 1)*(3 - 3 + k**4).
2*k**5
Expand (-4*h**3 + 5*h**3 - 2*h**3)*(-1 + 1 - 1)*(-2*h - 5*h + h).
-6*h**4
Expand (9*a + 5*a - 3*a)*(a + 2*a - 2*a).
11*a**2
Expand (0 - 1 + 4)*(-2*u**5 + 4*u**5 - 4*u**5).
-6*u**5
Expand -y - 4*y + 3*y + (-3 + 2 - 4)*(2*y + y - y).
-12*y
Expand (n**3 + 3 - 3 + (2*n**2 - 2*n**2 - n**2)*(-3*n - n + n))*(-2*n - 13 + 13)*(0 - 1 + 2).
-8*n**4
Expand 1801 - 3*y**4 - 1801 - 11*y + (2*y + 0*y + 0*y)*(-2*y**3 + 0*y**3 + 0*y**3).
-7*y**4 - 11*y
Expand (-2 + 2 + 10)*(3*o + 0*o - 2*o)*(-1 - o + 1 + 5*o**2)*(-2*o - o + 2*o).
-50*o**4 + 10*o**3
Expand (-q + 2*q + q)*(q**2 - 2*q**2 - q**2) + q**3 + 2*q**3 + 0*q**3 + 1 + 2*q**3 - 1.
q**3
Expand 0*w**2 + 4*w**2 - 2*w**2 + 2*w**2 - 3*w**2 + 0*w**2 - w**2 + 0*w**2 + 2*w**2 + (2*w**2 - 5*w**2 + w**2)*(-3 + 2 + 0) + (2 + w - 2)*(-5*w + 0*w + 3*w).
2*w**2
Expand -2*h**2 - 7*h**2 + 3*h**2 + (h - h + 4*h)*(3 - 3 + h).
-2*h**2
Expand (3*z**2 + 4*z**2 - 4*z**2)*((0 + 0 - 2*z)*(-2*z + 2*z - z) + z**2 + 0*z**2 + z**2 - 7*z**2 + 3*z**2 + 9*z**2).
27*z**4
Expand (2 + h**3 - 2)*(2*h - 6*h + 3*h) - h**4 + 13*h**4 + 2*h**4.
13*h**4
Expand v**5 + 2*v**5 - v**5 + (5 + 0 - 2)*(-3*v**5 + v**5 + 5*v**5) + (2 - 2 - v)*(-2 + v**4 + 2).
10*v**5
Expand (1 - 1 + 2*h)*(3*h - 2*h + 4*h)*(0 + 0 - 2*h**2 + (2*h + 0*h - 3*h)*(-h + 0 + 0)).
-10*h**4
Expand (-5*q**4 - 2*q**4 + 4 + 8*q**4)*(0*q + q + 4 + q).
2*q**5 + 4*q**4 + 8*q + 16
Expand (1 - 3 + 0)*(-3*l - 3 - 2*l + 3*l)*(-3 + l + 3).
4*l**2 + 6*l
Expand (3*i**3 - i**3 - 3*i**3)*(12*i**2 - 13*i**2 - 11*i - 24 + 25).
i**5 + 11*i**4 - i**3
Expand 0*y**2 - 5*y**2 + 2*y**2 + (-1 + y + 1)*(5 - 4 - 3)*(y + 6*y - 3*y).
-11*y**2
Expand 0*v**3 - v**3 - v**2 + 0*v**3 + 2*v**3 - 2*v**3 + 2*v**3 + (2*v**2 - 4*v**2 + v**2)*(-v - v + 0*v) + 0 + 0 + v**3 + v**3 + 0*v**3 - 4*v**3.
v**3 - v**2
Expand (-9*y + 2*y**2 + 7*y + 0*y**2)*(y + 3*y - y).
6*y**3 - 6*y**2
Expand (v**2 + 2*v**2 - 4*v**2 - 2)*(4 + 2*v - 4).
-2*v**3 - 4*v
Expand (-2*c**3 + 16*c**2 - 16*c**2)*(6 - 3 - 2).
-2*c**3
Expand 0*g + 2*g**3 + 0*g + (2*g + 3*g - 4*g)*(
|
{
"pile_set_name": "DM Mathematics"
}
|
n three letters picked without replacement from qmqqqmqmqqmmmqqmmqm?
28/323
What is prob of sequence xk when two letters picked without replacement from {t: 1, k: 2, e: 1, i: 1, p: 1, x: 2}?
1/14
Calculate prob of sequence ttvv when four letters picked without replacement from {j: 1, w: 2, t: 2, i: 3, v: 4}.
1/495
Calculate prob of sequence rrp when three letters picked without replacement from {d: 3, r: 4, p: 2}.
1/21
Calculate prob of sequence fqqj when four letters picked without replacement from jqfqjfqjq.
1/42
What is prob of sequence yppy when four letters picked without replacement from lppy?
0
Four letters picked without replacement from {t: 1, i: 19}. What is prob of sequence iiii?
4/5
What is prob of sequence qqq when three letters picked without replacement from qqqqqqqqq?
1
What is prob of sequence kkr when three letters picked without replacement from {r: 3, k: 3}?
3/20
What is prob of sequence so when two letters picked without replacement from {w: 3, u: 1, s: 8, c: 3, o: 4}?
16/171
Two letters picked without replacement from jjjjjjii. What is prob of sequence ji?
3/14
Two letters picked without replacement from cccps. Give prob of sequence cc.
3/10
Calculate prob of sequence dr when two letters picked without replacement from {j: 1, p: 2, o: 5, d: 2, r: 8}.
8/153
Four letters picked without replacement from nowfzko. Give prob of sequence znoo.
1/420
What is prob of sequence dgp when three letters picked without replacement from {p: 2, g: 1, a: 1, s: 1, m: 2, d: 2}?
1/126
Calculate prob of sequence rvr when three letters picked without replacement from {r: 2, v: 11}.
1/78
Four letters picked without replacement from {c: 2, a: 4, n: 2, d: 5}. What is prob of sequence daaa?
1/143
What is prob of sequence pjn when three letters picked without replacement from {i: 3, n: 3, x: 4, j: 6, y: 1, p: 1}?
1/272
Four letters picked without replacement from rrrrrgrgrrrprrrrrgrr. What is prob of sequence rgrg?
4/323
Three letters picked without replacement from nrxnexsxxssx. What is prob of sequence nxx?
1/33
Three letters picked without replacement from {j: 2, x: 3, p: 9, c: 4}. What is prob of sequence ccx?
1/136
Four letters picked without replacement from qjqqpjuqjjkpjqkq. Give prob of sequence kpkp.
1/10920
Three letters picked without replacement from ugs. What is prob of sequence sgu?
1/6
Four letters picked without replacement from yysaxapsampxmmaa. Give prob of sequence pmyx.
1/1820
What is prob of sequence jzm when three letters picked without replacement from {j: 1, z: 1, m: 3, e: 2}?
1/70
Two letters picked without replacement from {q: 2, h: 4, m: 1}. What is prob of sequence qm?
1/21
Calculate prob of sequence ydj when three letters picked without replacement from jdvdddjydyvyvdjvyyj.
20/969
Calculate prob of sequence rdv when three letters picked without replacement from dddvdrv.
4/105
Two letters picked without replacement from pnmomnnmcmmpm. Give prob of sequence on.
1/52
Three letters picked without replacement from {a: 3, k: 1}. Give prob of sequence kaa.
1/4
Three letters picked without replacement from {c: 1, u: 1, n: 3, y: 3, f: 3, b: 2}. What is prob of sequence nfy?
9/572
Calculate prob of sequence www when three letters picked without replacement from {w: 3, n: 5, s: 1, m: 1, r: 1}.
1/165
Four letters picked without replacement from uguegpuueeuuxgugiei. Give prob of sequence eupi.
7/11628
Two letters picked without replacement from {k: 2, b: 2, f: 8}. Give prob of sequence bf.
4/33
What is prob of sequence koko when four letters picked without replacement from {j: 2, k: 4, n: 1, v: 7, o: 4, h: 1}?
1/646
Two letters picked without replacement from kknkkkkkkkkk. What is prob of sequence kn?
1/12
Calculate prob of sequence vcvv when four letters picked without replacement from vvvvvvvvvccv.
4/33
Calculate prob of sequence st when two letters picked without replacement from mbssmbtmbtbemmbs.
1/40
Two letters picked without replacement from jjluuuljjjjjjjlsujxu. Give prob of sequence su.
1/76
Four letters picked without replacement from {a: 1, g: 3, o: 1, m: 2}. Give prob of sequence mmga.
1/140
Three letters picked without replacement from {p: 2, f: 2, q: 2}. Give prob of sequence pqp.
1/30
What is prob of sequence dd when two letters picked without replacement from {d: 6, b: 4}?
1/3
Four letters picked without replacement from innxnnxxnjxnn. What is prob of sequence xxix?
1/715
Calculate prob of sequence sr when two letters picked without replacement from usrsrffsfffj.
1/22
Four letters picked without replacement from {b: 1, q: 2, v: 1, o: 1}. Give prob of sequence voqq.
1/60
What is prob of sequence ca when two letters picked without replacement from qauquqcqquqcqu?
1/91
What is prob of sequence daaa when four letters picked without replacement from adaddadadadaddadaad?
35/646
What is prob of sequence ks when two letters picked without replacement from {s: 1, k: 2, r: 1, a: 1}?
1/10
Two letters picked without replacement from {m: 7, y: 2, s: 5}. What is prob of sequence ym?
1/13
What is prob of sequence uj when two letters picked without replacement from dzjuuduu?
1/14
Four letters picked without replacement from ddodo. Give prob of sequence dddo.
1/10
Calculate prob of sequence pj when two letters picked without replacement from {p: 3, v: 4, j: 4}.
6/55
What is prob of sequence frg when three letters picked without replacement from rrfdrrddyrgrsyfrr?
1/255
Three letters picked without replacement from cxrwccrcccwr. Give prob of sequence ccw.
1/22
What is prob of sequence pup when three letters picked without replacement from {f: 1, p: 3, u: 1}?
1/10
What is prob of sequence dd when two letters picked without replacement from {b: 6, d: 4, j: 4}?
6/91
What is prob of sequence xjjm when four letters picked without replacement from jfxxmj?
1/90
Three letters picked without replacement from {p: 7, m: 3, k: 5, g: 2}. What is prob of sequence pkg?
7/408
What is prob of sequence wb when two letters picked without replacement from wwwbwb?
4/15
Two letters picked without replacement from {g: 1, q: 3, p: 3, d: 7, s: 4}. Give prob of sequence gq.
1/102
Four letters picked without replacement from lllpplypapccyajappa. What is prob of sequence yclc?
1/5814
What is prob of sequence lb when two letters picked without replacement from qlttilltlllbbtbl?
7/80
Calculate prob of sequence eee when three letters picked without replacement from {t: 2, b: 1, g: 4, e: 3}.
1/120
Four letters picked without replacement from errpx. Give prob of sequence errp.
1/60
Calculate prob of sequence dx when two letters picked without replacement from {d: 2, x: 2, a: 1, r: 1, p: 1, l: 1}.
1/14
Calculate prob of sequence gtgg when four letters picked without replacement from sggsggsqggggqstsgtgg.
11/646
What is prob of sequence spdp when four letters picked without replacement from {a: 1, d: 1, s: 1, p: 2, v: 2}?
1/420
Three letters picked without replacement from {u: 1, e: 1, v: 2, k: 4, f: 2}. Give prob of sequence feu.
1/360
Four letters picked without replacement from zzzhhzzzxunzuu. Give prob of sequence xuzu.
1/572
What is prob of sequence xi when two letters picked without replacement from {i: 1, g: 3, x: 3}?
1/14
Calculate prob of sequence iiwi when four letters picked without replacement from ijjiwivwijwvhwjjh.
1/595
Calculate prob of sequence vei when three letters picked without replacement from {e: 1, i: 1, v: 1}.
1/6
Two letters picked without replacement from ziiietjiiiieiiiiiii. Give prob of sequence zz.
0
Two letters picked without replacement from {v: 2, y: 1, e: 3, t: 1, z: 1, x: 5}. Give prob of sequence ty.
1/156
Calculate prob of sequence ln when two letters picked without replacement from lhnlg.
1/10
Three letters picked without replacement from {t: 3, s: 4}. Give prob of sequence sts.
6/35
What is prob of sequence vavc when four letters picked without replacement from lvacvvvcwavai?
1/143
What is prob of sequence qq when two letters picked without replacement from {q: 2, c: 10}?
1/66
Four letters picked without replacement from pknpcncyq. What is prob of sequence kyqn?
1/1512
What is prob of sequence vppv when four letters picked without replacement from pvpvpvm?
3/70
Two letters picked without replacement from {p: 1, g: 1, d: 4, u:
|
{
"pile_set_name": "DM Mathematics"
}
|
common denominator of (-2)/((-48)/t) - -2 and -50.
8
Let a(l) = -l**3 - 9*l**2 - 7*l + 16. What is the smallest common multiple of a(-8) and 16?
16
Let v(b) = -4*b**2 + 34*b - 58. Suppose -p = -5*m - 19, -2*m - 3*m = 5*p - 35. Calculate the least common multiple of p and v(6).
18
Suppose 3*a = -2 + 11. Suppose 3*n = f + 26, -4 = a*n + 2*f - 33. Calculate the smallest common multiple of n and 11.
99
Let q = -319/4 + 651/8. Calculate the common denominator of 13/24 and q.
24
Let i be (3 - -3)*1/3. Suppose x - 2 = b, -b + 14 = -i*x + 5*x. Let p(o) = -o**2 - 9*o - 6. Calculate the lowest common multiple of b and p(-6).
12
Suppose 3*r = -1 + 31. Calculate the lowest common multiple of 8*1*5/10 and r.
20
Let c = -3711644 + 133628993/36. Let i = c - 1095/4. Let h = -35077/60 + 1751/3. What is the common denominator of h and i?
180
Let l(k) = 4*k - 20. Let y be l(5). Let u(o) = -4*o + 2. Let t be u(-2). Let j = t + y. What is the lowest common multiple of j and 5?
10
Let p = -163 - -187. Calculate the smallest common multiple of 24 and p.
24
Suppose 2*r - 105 = -3*j, -r = 2*j - 66 - 3. Let o = j + -13. Calculate the smallest common multiple of 12 and o.
60
Let r = 65083 + -1432253/22. Let o = 17/66 - r. What is the common denominator of o and (-5)/2*72/(-105)?
21
Let i be (2/(-4))/((-2)/60). Let v = i + -13. Calculate the least common multiple of v and 10.
10
Let h = 3/727 - -70513/1454. Calculate the common denominator of h and 81/4.
4
Let b = -1625200/19 + 85578. Let x = -5673/190 + b. Let u = 105 + -839/8. What is the common denominator of x and u?
40
Let q be -1 + 58/(-2 + 0). Suppose -o + 108 + 39 = 0. What is the common denominator of 17/8 and o/q - 4/(-10)?
8
Let m = 50 + -30. Calculate the smallest common multiple of 44 and m.
220
Let n(q) = q - 1. Let z(v) = -3*v - 1. Let w(h) = -5*n(h) - z(h). Calculate the least common multiple of 14 and w(-6).
126
Let x = -585 + 1578. Find the common denominator of x/168 + 2/(-7) and -151/12.
24
Let m = 18 - 17. What is the least common multiple of m and 7?
7
Let p = -2042/24257 + 20/127. Let u = -147588018 - -281893095713/1910. Let d = p + u. Calculate the common denominator of d and 119/6.
30
Let i = 9221 + -166057/18. What is the common denominator of (-1 + (-3)/2)/6 and i?
36
Let y be 0 - (-6)/(-5193) - 0. Let j = y + -157489/27696. What is the common denominator of ((-78)/4)/(6/(-14)) and j?
16
Suppose 0 = -5*o + 2*t - 18, -o - 10 = t - 3*t. Calculate the smallest common multiple of (-14 - (o - 2))*-1 and 18.
90
Suppose 10*c = 4*c + 96. Let z(d) = -6*d + 2. What is the least common multiple of z(-2) and c?
112
Let d(l) = -l**3 - 5*l**2 + 5*l - 3. Let h be d(-6). Suppose a + h - 8 = 0. Calculate the smallest common multiple of a and 8.
40
Suppose -2*r + 14 = 4*l, 0 = 4*r + l - 2 - 5. Calculate the lowest common multiple of 7 and (-26 + -1)*r/(-3).
63
Let r = 76305201/20 - 3821846. Let j = -6588 - r. Find the common denominator of -127/12 and j.
60
Let l = -4 + 6. Suppose u - 3*u = -l. What is the smallest common multiple of u and 3?
3
Let g(s) = s**2 + 3*s - 44. What is the common denominator of g(0) and -23?
1
Suppose -4*d - 2 = 6. What is the common denominator of d*(1 + (-93)/16) and -2 + (2 - 267/(-24))?
8
Let z = -10/279 + -13591/2232. Find the common denominator of z and -24.
8
Find the common denominator of (((-8)/12)/(4/474))/14 and 1/15*(-1510)/(-12).
126
Let b = 38 + -16. Let i(k) = k**3 + 9*k**2 + 12*k - 14. What is the smallest common multiple of i(-6) and b?
22
Let s = 102 + -180. What is the common denominator of (s/(-8))/(12/10) and 29/3?
24
Let z be (-1)/6*9354/63. Let m = 216/7 + z. Calculate the common denominator of m and 4/11.
99
Find the common denominator of 81/8 and 58/(-5)*(-15)/21.
56
Let z(n) = n**3 + 6*n**2 + 3*n - 2. Calculate the smallest common multiple of 10 and z(3).
440
What is the common denominator of 149/18 and 29/18 - (-10 + 14)?
18
Let h(w) be the second derivative of -w**5/20 - 2*w**4/3 - w**3 + 9*w**2/2 - w. What is the lowest common multiple of h(-7) and 7?
14
Let a be (4 + -1)*(-4604)/(-6). Let h = a + -23093/10. Suppose 0 = -2*x + 6*x - 2*u + 98, 4*x - 3*u = -95. Calculate the common denominator of h and x.
10
Let o = -4823/2 - -2458. What is the common denominator of 101/8 and o?
8
Let p = 331/10 + -33. Calculate the common denominator of 22/(-6)*(-3)/(-5) and p.
10
Let i = 4 - -23. Calculate the smallest common multiple of i and 21.
189
Suppose 0*p - 165 = 5*p. Let h = -13 - p. Suppose 0 = -2*q + 5*s + 52, -3*q = 2*s - s - 44. What is the smallest common multiple of q and h?
80
What is the common denominator of 13/6 and (-1*5)/(16/(-88))?
6
Let d = 15183/10 + -1509. Find the common denominator of (-106)/(-6) + (-1)/(-2) and d.
30
Let z = -10 - -23. What is the common denominator of 8/16*z*-5 and -41/8?
8
Let g = -3887 + 7627/2. Let d = 82 + g. What is the common denominator of d and (-2)/((0 - 2)/40)?
2
Let n = -7 - -12. What is the least common multiple of n and 9?
45
Let d = 127/3 + -487/12. Let a = 4 - 6. What is the common denominator of (a/21)/(6/112) and d?
36
Suppose 2 = b + 1. Find the common denominator of (-1 + (-66)/28)/b and -95/12.
84
Find the common denominator of 16/11 and 0 + -4 + 585/(-104).
88
Let m(r) = -r**2 + 9*r + 1. Let x = -7 + 12. Calculate the lowest common multiple of x and m(8).
45
Calculate the smallest common multiple of 24 and (-3)/(-6) + (-2)/(-4) + 26.
216
Let h(j) = -j - 10. What is the lowest common multiple of h(-13) and 9?
9
Suppose -2*i + 19 = -n + 3*i, -5*n = i - 35. Suppose -8*w + 3*w = -25. What is the smallest common multiple of w and n?
30
Let h = -50045/8 + 6244. Let g = -8657/10 + 860. Find the common denominator of g and h.
40
Suppose 4*z + l + 2*l = 103, 69 = 2*z + 5*l. Calculate the lowest common multiple of z and (24/9)/(1/15).
440
Let a = -1801/330 + 16/55. Let n = -1565/3 + 527. What is the common denominator of n and a?
6
Let n(l) = l**3 + 3*l**2 + 4. Let w(c) = -c. Let j be w(-3). Suppose -j*z + 10 = v, 0 = 4*z + 4*v - 4 - 4. What is the lowest common multiple of n(-3) and z?
4
Let z be 7 + (0 - (-1)/1). Suppose -n = -0*n - z. What is the lowest common multiple of n and 10?
40
Suppose 2*l - 32 = -4*m, l - 5*l + 3*m + 86 = 0. Calculate the smallest common multiple of l and 6.
60
Let u(g) = -2*g**3 - 4*g**2 + 3*g - 5. Let a be u(-4). Suppose 4*d - a = -7. What is the lowest common multiple of d and 6?
30
Let y(r) = -5*r**3 - 2*r + 4. Let f(u) = 4*u**3 + u**2 + 2*u - 3. Let v(l) = -4*f(l) - 3*y(l). Calculate the least common multiple of 11 and v(-4).
88
Let t = -46/5 + -73/10. Calculate the common denominator of t and 69/2.
2
Suppose 0 = -6*y + 3*y. Suppose y*x + 36 = 4*x. Calculate the least common multiple of x and 5.
45
Suppose -3*x + 3 = 0, 3*x = -3*d + 1 - 7. Let i = -8 + d. Let o = 7 - i. Calculate the least common multiple of o and 20.
180
What is the lowest common multiple of (0 - (-8 - -2))*1 and 2/(-3)*(13 + -22)?
6
Find the common denominator of (33/36)/(12/(-45)) and -47/20.
80
Suppose 6*r = 35 + 1. What is the smallest common multiple of r and 6?
6
Let a = -291 - -1221. Calculate the common denominator of a/(-4)*1/(-5) and (3 + (-122)/40)*18.
10
Calculate the common denominator of (-2)/16*-9*2 and 1 - -3*3/(-45).
20
What is the common denominator of 25/4 and 2/(8/12) + -17?
4
Suppose u + i + 2 = -i, 4*i - 14 = -5*u. What is the lowest common multiple of 40 and u?
120
Let z(o) = o**2 + 3*o - 5. Find the common denominator of z(-6) and -64/9.
9
Let b be 0 - (-4)/(19584/19887). Let n = -1/1632 - b. Let v = -185 + 1001/6. Find the common denominator of n and v.
48
Calculate the lowest common multiple of 34 and -1 + 1*(6 + -1).
68
Let s = 2 + 9. What is the lowest common multiple of 9 and s?
99
Let q = -10 - -18. Suppose 0 = -2*a + 30 + q. Calculate the common denominator of (a/6)/(2/(-8)) and -26/9.
9
Suppose -4*t + 5*t - 12 = 0. Let o(n) = -264*n**2 + 2 + 526*n**2 - 261*n**2 - 11*n. Calculate the smallest common multiple of o(t) and 22.
154
Suppose 13*t + 216 = 17*t. What is the least common multiple of 18 and t?
54
Let b(k) = -16*k - 4. Let z be b(2). Suppose c = 0, -2*h = 4*c + 56 + 146. Calculate the common denominator of -9/2 and (-3)/z*h - 2.
12
Let f = 19/4 + -57/4. Calculate the common
|
{
"pile_set_name": "DM Mathematics"
}
|
st to 1850? (a) -1 (b) 0.1 (c) 4
c
What is the nearest to -0.6 in -14, -4, 2/7?
2/7
What is the nearest to -1 in 3, 2/9, -31, -2/7?
-2/7
Which is the closest to 2? (a) -2 (b) 0.3 (c) -72
b
What is the closest to 13 in -15, -3, -1, -0.3?
-0.3
Which is the nearest to -2/7? (a) 0.8 (b) 2 (c) 0.2 (d) 0.1
d
What is the nearest to -278 in 1/3, 0.3, 4?
0.3
Which is the nearest to -0.1? (a) 0 (b) 5/2 (c) 72.4 (d) 1
a
Which is the nearest to 369? (a) -0.3 (b) -2/9 (c) -5
b
What is the nearest to 0.4 in -1/7, -2, -0.2?
-1/7
Which is the closest to 27/2? (a) 0 (b) 0.4 (c) -2/21 (d) 1/6
b
Which is the closest to -1? (a) 63 (b) -0.02 (c) -3/8 (d) -2/17
c
Which is the nearest to -98? (a) 1/3 (b) 3 (c) -2
c
What is the closest to -2/3 in -1/4, -0.06, 0.2, 0.3?
-1/4
What is the closest to 14 in 47, 2, 1/10?
2
Which is the closest to -0.7? (a) 4 (b) 0.3 (c) -9 (d) 0.2
d
What is the nearest to -1/3 in 0.6, -0.5, 2/5?
-0.5
What is the closest to 7 in -4, 6, -3, -1/4?
6
Which is the nearest to -0.2? (a) 1/6 (b) 2/21 (c) 0 (d) 0.5
c
What is the closest to 2/27 in -4, 3, -0.3, 4?
-0.3
Which is the nearest to 2? (a) 21 (b) -5 (c) 3 (d) 2
d
What is the closest to 9 in -4, 2, -1/3?
2
What is the nearest to 0.2 in 4, 0.06, -95?
0.06
Which is the nearest to 99? (a) 1 (b) 2 (c) 2/3
b
Which is the closest to 0? (a) 4 (b) -1 (c) -5
b
What is the closest to -2/19 in -0.01, 11, -5?
-0.01
What is the closest to 1/4 in 2/921, 1/3, 3/4?
1/3
What is the closest to -11 in -2/7, 1, -1, -3/7?
-1
Which is the nearest to 9? (a) 4 (b) -3 (c) 5 (d) -22
c
Which is the closest to 2? (a) -4/41 (b) 5 (c) 1/4
c
What is the closest to 2/7 in 1, 1.3, -3/8?
-3/8
Which is the closest to -3? (a) -11 (b) -4 (c) 1/8
b
What is the closest to 2/133 in -4, -2, 3?
-2
Which is the nearest to 0.3? (a) -4 (b) -1 (c) -0.02
c
Which is the closest to 0.2? (a) 2 (b) 23 (c) -0.2 (d) 8
c
What is the closest to -0.1 in -2/9, 0.83, -0.28?
-2/9
What is the nearest to -0.1 in -0.28, 13, 6/5?
-0.28
What is the closest to 11 in 1/7, 0, -4, -2?
1/7
What is the nearest to 1/4 in -0.2, 1, -2?
-0.2
Which is the closest to -0.1? (a) 5 (b) -3/2 (c) -2/7 (d) 2/7
c
Which is the nearest to 0.4? (a) 505 (b) -1 (c) -5
b
What is the nearest to 2 in -2/13, 1, -5, 0.1?
1
Which is the nearest to 0.1? (a) 0 (b) 4 (c) 8/23 (d) 1/3
a
Which is the closest to 0? (a) 2/11 (b) -14 (c) 6 (d) 1
a
Which is the nearest to -11.2? (a) 5 (b) -4 (c) -3 (d) 0.1
b
Which is the nearest to -1.83? (a) 2 (b) -3/7 (c) -5
b
What is the nearest to 1 in 5, 2, -2, 1/4?
1/4
Which is the closest to 0.1? (a) 0.04 (b) 4 (c) -291
a
Which is the closest to -6? (a) 1/3 (b) -5/2 (c) 0.4
b
Which is the closest to -2? (a) 2 (b) 0.05 (c) -6/17
c
What is the closest to 0.1 in -2, -4, -5/2, 0.3?
0.3
Which is the closest to -0.3? (a) 16/7 (b) -0.3 (c) 5 (d) -1/2
b
What is the nearest to -2 in -4, -114, 0.4?
-4
What is the closest to -6.3 in 1/5, -4, 1/4, 1?
-4
Which is the nearest to 1/7? (a) 13 (b) 3 (c) -0.5 (d) 0
d
What is the nearest to 0 in 1/3, -1/6, 5, 15/7?
-1/6
What is the nearest to 0.9 in -3, 2/5, 0, 0.5?
0.5
What is the nearest to 0.1 in -4, -48, -3?
-3
What is the nearest to -0.2 in -41, 0.5, -2?
0.5
What is the nearest to 4 in -0.1, 5, -1?
5
Which is the nearest to -0.1? (a) -0.3 (b) 1/4 (c) -3508
a
Which is the closest to -2? (a) -0.04 (b) 1 (c) -1 (d) -2
d
Which is the nearest to 0? (a) -0.65 (b) -0.3 (c) 2/3
b
What is the nearest to 50/29 in -1/2, 1/4, -3?
1/4
What is the nearest to 12 in 2/11, 5, -2?
5
Which is the closest to -2? (a) 41 (b) -2/9 (c) 0.3 (d) 2/7
b
Which is the closest to -1/3? (a) -4/7 (b) 18 (c) 5
a
Which is the closest to 6/13? (a) 0.3 (b) 4 (c) 1/5 (d) -2
a
What is the closest to 0 in -77, -2, 2/9, -3?
2/9
Which is the closest to 0.22? (a) 1/2 (b) -0.5 (c) 5 (d) 0.3
d
Which is the nearest to 0? (a) 0.18 (b) -1 (c) 2 (d) -1/2
a
Which is the nearest to 0.2? (a) 10 (b) -3/7 (c) -3 (d) 11
b
Which is the closest to -6? (a) -1/4 (b) -22 (c) -0.5 (d) 2
c
What is the closest to 0.9 in 10, -2, -2/9?
-2/9
Which is the closest to 0? (a) -3 (b) 0.14 (c) -4/3 (d) -4
b
Which is the closest to 1? (a) 5 (b) -2/3 (c) 0 (d) -5
c
Which is the closest to -6/5? (a) 6 (b) -0.05 (c) -2
c
What is the closest to 0.1 in -1/5, -2/3, -2/5, 0.2?
0.2
What is the closest to 2/5 in -1/17, -12, 0.2?
0.2
Which is the nearest to -0.3? (a) -1/6 (b) 1/3 (c) 0.05 (d) -0.4
d
What is the closest to -5 in 3, -25, -0.1?
-0.1
Which is the closest to 1/2? (a) 0.01 (b) 2/15 (c) -0.1 (d) 0
b
What is the nearest to -2/3 in -0.4, -34, -0.3?
-0.4
What is the nearest to -0.1 in 1/12, -5, 2/11?
1/12
Which is the closest to -4? (a) -1/2 (b) 2 (c) -4 (d) -12
c
Which is the nearest to -39? (a) -0.11 (b) -0.4 (c) -2/17 (d) -2/9
b
What is the nearest to -1 in -1, -1/3, -115, -2?
-1
What is the closest to 4 in 1/7, 6, -0.2, 3?
3
Which is the nearest to 2? (a) -2/11 (b) -1/8 (c) -5/2 (d) 2/5
d
What is the closest to -1/4 in -24, 0.4, 6?
0.4
Which is the closest to -1? (a) -2/3 (b) 0.7 (c) 2/3 (d) 3
a
What is the closest to -1 in 4/7, 0.3, -0.0488, -1?
-1
Which is the closest to -30? (a) -2/5 (b) 1/5 (c) 4 (d) -4
d
Which is the nearest to -3? (a) -2 (b) -2/11 (c) 4 (d) -1/4
a
Which is the nearest to 0.1? (a) 3/5 (b) -0.6 (c) 10.7 (d) -0.1
d
Which is the nearest to 1? (a) -1/7 (b) 0 (c) -1.2 (d) 3/2
d
What is the closest to -0.1 in 2, -3, 5/4, 1.5?
5/4
Which is the closest to 164? (a) -3 (b) -5 (c) -0.5
c
Which is the nearest to -1/4? (a) -7 (b) 3 (c) 0.1 (d) 2
c
What is the nearest to -1 in -1/7, 2, 7?
-1/7
What is the closest to -2/7 in 18, -0.041, -4?
-0.041
Which is the nearest to 0.1? (a) 4 (b) -5 (c) 1/11 (d) 69
c
Which is the closest to -2.2? (a) 1 (b) -5 (c) 0.1 (d) -0.14
d
Which is the nearest to -7? (a) 1/8 (b) -10 (c) -1/2
b
What is the closest to -3 in 1/5, -2, -1?
-2
What is the nearest to 7 in 2/7, -0.4, -0.3, -63?
2/7
Which is the nearest to 0.2? (a) -0.5 (b) 184/7 (c) 2/15
c
What is the nearest to -1/2 in 2, 0, 0.231?
0
Which is the closest to -1/3? (a) -2/5 (b) -1 (c) 39
a
What is the closest to 0 in 10, 5, 28?
5
What is the closest to -2/7 in -121, 4, 47?
4
What is the nearest to -950 in 2, -0.06, 2/13?
-0.06
Which is the closest to 0.3? (a) 0 (b) 0.4 (c) 3/2 (d) 0.07
b
Which is the nearest to 1/3? (a) -2/19 (b) 6 (c) 2/35
c
What is the nearest to 0 in 0, 24, 0.3, -3/5?
0
Which is the nearest to 1.4? (a) 4 (b) 1/6 (c) -2/7 (d) -6/7
b
What is the closest to 1 in 9, 0.1, -3/5, -5?
0.1
What is the closest to 1/2 in 2, 2/33, 7, 4?
2/33
Which is the closest to 2/111? (a) 5 (b) 1/4 (c) 1/5 (d) -2
c
What is the closest to 0 in -0.2, 1, -0.7?
-0.2
Which is the closest to -2? (a) -6 (b) -7 (c) 0.4 (d) -1
d
Which is the closest to 1? (a) -132 (b) -3/8 (c) 0.04 (d) -4
c
What is the closest to 0.1 in 3/7, -4, -0.06, -3?
-0.06
Which is the closest to 1/4? (a) -2/5 (b) -1.99 (c) -0.1 (d) 0.1
d
What is the nearest to -6/11 in 3, 0.3, -4, 2?
0.3
What is the nearest to -1/4 in -0.4, 3, -3, 2/9?
-0.4
Which is the closest to 0? (a) -0.3 (b) -0.2 (c) 2/9 (d) -1/4
b
What is the nearest to -30 in 0.3, -3, 0.5, -4?
-4
Which is the nearest to -2/5? (a) -5 (b) 0.1 (c) -2 (d) -90
b
What is the closest to -2 in -1, -0.1, -3/5, 6.7?
-1
Which is the nearest to 0.5? (a) 1 (b) 0.2 (c) -0.5 (d) -4
b
Which is the closest to -0.1? (a) 0.3 (b) -0.04 (c) 18
b
What is the nearest to 2/7 in 2, -0.4, 0, 1?
0
What is the nearest to -1 in 14, -0.2, -1/6, -1?
-1
What is the closest to 5/3 in -0.2, 0.4, 3/2, 16?
3/2
What is the closest to -1/2 in 16, -2/11, 5?
-2/11
Which is the closest to 2/9? (a) 5 (b) 3 (c) -1/9
c
Which is the nearest to -4? (a) -51 (b) 2 (c) -4 (d) 2/19
c
What is the closest to 44 in -5/3, -2/15, 0.1, 5?
5
Which is the closest to 0? (a) 15 (b) -0.2 (c) 149 (d) -0.3
b
Which is the nearest to 0.1? (a) 2 (b) -5 (c) 3 (d) -0.2
d
What is the closest to 0.2 in 1/10, 9.6, 3/2?
1/10
What is the closest to -18 in 0.02, 2, -2, 0.3?
-2
What is the closest to -2/7 in -2/25, 2/17, -24?
-2/25
Which is the closest to -2? (a) 11 (b) -3 (c
|
{
"pile_set_name": "DM Mathematics"
}
|
second derivative of 1611*o**2 - 790*o wrt o?
3222
Find the third derivative of -669*l**4 + 2*l**2 - 159 wrt l.
-16056*l
Differentiate 20*f**3*y + 205*f**3 - 6*f*y with respect to y.
20*f**3 - 6*f
Differentiate 55*h**4 + 247 wrt h.
220*h**3
Find the second derivative of -4032*y**2 - 2093*y - 2.
-8064
What is the derivative of -i**4*m + 7*i**3*m + 2*i*m - 3*m + 22 wrt i?
-4*i**3*m + 21*i**2*m + 2*m
What is the second derivative of -c**3*t**2 + 47*c**3 - 111*c**2*t**2 + c**2*t - 2*t**2 - 7*t wrt t?
-2*c**3 - 222*c**2 - 4
Find the third derivative of -745*m**6 - m**2 - 12.
-89400*m**3
What is the third derivative of 4089*p**3 + 2825*p**2?
24534
Find the third derivative of -3*g**6 - 162*g**4*v**3 - g**2*v**3 + 2*g**2 + 13*g*v**2 wrt g.
-360*g**3 - 3888*g*v**3
What is the third derivative of 17*d**3*j**2 + 8*d**3*j - 7*d**2*j**2 - 2*d - 4*j**2 wrt d?
102*j**2 + 48*j
Differentiate -2*f**3*t**2 + 21*f**3*t*x + f**3*t + f**2*t - 197*t**2*x + 1495 with respect to x.
21*f**3*t - 197*t**2
Find the third derivative of -16645*r**3 - 2*r**2 + 7189*r + 2 wrt r.
-99870
What is the third derivative of -64*h**6 - 2*h**5 + 2*h**2 - 24*h wrt h?
-7680*h**3 - 120*h**2
Find the third derivative of g*w**4 + 3*g*w**3 - 164*g*w + 65*w**4 + 2*w**3 - w**2 wrt w.
24*g*w + 18*g + 1560*w + 12
What is the third derivative of b**3*g*m + b**3*g - 7*b**3*m**2 + 59*b**2 + g*m**2 wrt b?
6*g*m + 6*g - 42*m**2
What is the second derivative of -2*b**5*h**2 - 2496*b**5 + 2*b*h**2 + 7*b*h + 16*b - h**2 wrt b?
-40*b**3*h**2 - 49920*b**3
What is the second derivative of -275*w**5 + 33*w?
-5500*w**3
Find the third derivative of -25706*j**5 - 1250*j**2.
-1542360*j**2
What is the third derivative of -54*a**3*c*h**3 - a**3*c - a**2*c*h - 6*h**3 - 4*h wrt a?
-324*c*h**3 - 6*c
Find the third derivative of 714*f**2*g*v**3 + 6*f**2*g*v**2 - 2*f**2*g + 3*f*g*v**3 + 10*g wrt v.
4284*f**2*g + 18*f*g
What is the third derivative of 37*b*h**4*o + 3*b*h**2*o**2 - 7*b*h*o**2 - b - 48*h**4 + 2*h**3*o**3 + 22*h*o**3 wrt h?
888*b*h*o - 1152*h + 12*o**3
Differentiate -d*q**2 - 6110*d + q**3 + q**2 + 26*q with respect to q.
-2*d*q + 3*q**2 + 2*q + 26
Find the third derivative of 26*s*u**3 + 4*s*u**2*v + 34*s*u**2 - u**3*v wrt u.
156*s - 6*v
Differentiate -2372*y**2 - 2527 with respect to y.
-4744*y
What is the derivative of l**3*u**2 + l**3*w - l*u**2 + u*w**2 + 95*w**2 wrt u?
2*l**3*u - 2*l*u + w**2
Differentiate -9*j**4*u**2 - 99*j**4 - 2162*u**2 with respect to j.
-36*j**3*u**2 - 396*j**3
Find the third derivative of 8*m**4 + 4*m**3 + 4*m**2 + 65*m wrt m.
192*m + 24
What is the derivative of 390*d**2*u*y**2 - 2148*d**2*y**3 + d*u*y**3 wrt u?
390*d**2*y**2 + d*y**3
Find the third derivative of 26*c**5 - 176*c**2 wrt c.
1560*c**2
What is the second derivative of 24*d*f**4 - 844*d + 5*f**4 - 2*f wrt f?
288*d*f**2 + 60*f**2
Find the second derivative of -2*r**3 + 614*r**2 + 3597*r - 2.
-12*r + 1228
What is the derivative of -2*n*p*z - 21*n*p - 3*n - 16*p*z + 2*p + 3*z wrt n?
-2*p*z - 21*p - 3
Differentiate -195*r**4 + 106.
-780*r**3
What is the derivative of -c**2*k**2 - c**2 - 2*c*k**2 - 3*c + 629*k**3 + 27 wrt k?
-2*c**2*k - 4*c*k + 1887*k**2
Differentiate -3685*g + 2143 with respect to g.
-3685
Find the third derivative of -1640*j**3*v**4 - 2*j**3*v**2 + 209*j**3 - 2*j**2*v**4 + 4*j**2*v**2 wrt v.
-39360*j**3*v - 48*j**2*v
What is the second derivative of -1430*i**5 + 306*i + 1 wrt i?
-28600*i**3
What is the third derivative of 14835*o**3 + 13*o**2 + 23*o - 17?
89010
What is the second derivative of -244*n**5 + n**4 - n**3 - 1698*n?
-4880*n**3 + 12*n**2 - 6*n
What is the third derivative of 12*r**6 + 4*r**3 - 27*r**2 - 27 wrt r?
1440*r**3 + 24
Find the third derivative of 66*d**3*f**3 + 14*d**3*f*p - 2*d**3 - 10*d**2*f**3 - 83*d*f*p + f**3 wrt d.
396*f**3 + 84*f*p - 12
What is the second derivative of -1229*d**4 - 6*d**3 - 14515*d wrt d?
-14748*d**2 - 36*d
What is the second derivative of -2093*k**4*r + 7*k*r + 2*k - 40 wrt k?
-25116*k**2*r
What is the second derivative of -4*l*o*v**2 - 3*l*o*v - 566*l*o - 33*o*v**2 wrt v?
-8*l*o - 66*o
Differentiate -4*j**2*k*o**2 - j**2*o - 453*j*o**2 - 2*k*o**2 - 2*k*o wrt k.
-4*j**2*o**2 - 2*o**2 - 2*o
Differentiate -493*a + 3 wrt a.
-493
Find the second derivative of -3*n*v**2*z**2 - 2*n*v**2 - 612*n*v + 245*v**2*z - v*z - 2*z**2 wrt v.
-6*n*z**2 - 4*n + 490*z
Find the second derivative of -272*p**5 - 2*p**2 - 252*p.
-5440*p**3 - 4
Find the third derivative of 204*y**5 + 14*y**2 wrt y.
12240*y**2
What is the third derivative of g**4*k - 35*g**4 - 3*g**3*k**3 + g**2*k**2 - 359*g**2 + 3*g*k**3 wrt g?
24*g*k - 840*g - 18*k**3
Find the second derivative of 82*g**4 - 3*g**2*o - g*o + o + 14 wrt g.
984*g**2 - 6*o
What is the third derivative of 29*h**3*v**4 + 11*h**3 + 8*h**2*v**4 - 2*h**2*v**2 + h*v**3 + 17*h*v**2 wrt v?
696*h**3*v + 192*h**2*v + 6*h
Find the third derivative of -17312*m*n**3 - 15*m*n - 31*n**2 wrt n.
-103872*m
What is the third derivative of 90*n**5 - 10*n**2 + 2 wrt n?
5400*n**2
What is the first derivative of -197*i**2 + 17*i - 13662 wrt i?
-394*i + 17
Differentiate 5*z**4 + 47*z - 775 wrt z.
20*z**3 + 47
Find the first derivative of -101*j**2*t**3 + 13*j*t**3 + 155*t**3 - 3 wrt j.
-202*j*t**3 + 13*t**3
What is the third derivative of 45*a**3 + 855*a**2?
270
Differentiate c**2 - 41*c - 438.
2*c - 41
Find the third derivative of -278*l**3 - 215*l**2.
-1668
Find the second derivative of -374*k**2*p*w**2 + 2*k**2*p*w - 21*p*w + 2*p wrt w.
-748*k**2*p
Find the first derivative of 14*d*n**2 - d*n - 4*d - 16 wrt n.
28*d*n - d
Find the second derivative of -25*c**3*t**2 - 13*c**3*t - c*t**2 + 15*t**2 - 67 wrt c.
-150*c*t**2 - 78*c*t
Differentiate -319*s - 344 wrt s.
-319
Find the third derivative of 6730*c**3 + 873*c**2 + c.
40380
What is the second derivative of -8*g**2*t**2 - 2*g**2*t + 7*g*t - 5*t**2 wrt g?
-16*t**2 - 4*t
What is the third derivative of 953*a**3*h**2*t + 2*a**3*t - a**2*h**2*t - 6*a**2 + 12*a - h**2*t wrt a?
5718*h**2*t + 12*t
What is the third derivative of -42*h**3 - 4*h**2 - 2?
-252
What is the third derivative of m**6 - 4593*m**3 + 2*m**2 - 155*m + 2 wrt m?
120*m**3 - 27558
What is the second derivative of 2177*w**3 + 2*w + 1176 wrt w?
13062*w
Find the third derivative of -488*h**5 - 2*h**2 - 89*h.
-29280*h**2
Find the first derivative of g**2*h - 772*g**2 - 2*g*h**3 + 33*g*h wrt h.
g**2 - 6*g*h**2 + 33*g
Differentiate 7*m**2*v - 26*m**2*y**3 + m**2*y + 7*m*v*y + 113*m*v wrt y.
-78*m**2*y**2 + m**2 + 7*m*v
What is the third derivative of 514*p**6 + 1238*p**2?
61680*p**3
What is the derivative of -3*l**4*z**3 + 149*l**4*z**2 + 1343*z**3 wrt l?
-12*l**3*z**3 + 596*l**3*z**2
What is the second derivative of 52*y**5 - 2*y**3 + 44*y + 2?
1040*y**3 - 12*y
What is the second derivative of -c**3*h**3*l - 2*c**3*h**2*l - 20*c**3*h*l**2 - 49*c**3 + 3*c*h*l**2 + 2*h**3*l**2 wrt l?
-40*c**3*h + 6*c*h + 4*h**3
What is the second derivative of -3*h**4 + 23*h**3 + 253*h?
-36*h**2 + 138*h
What is the third derivative of a**3*g**3*k - 14*a**3*g**3*x - 13*a**3*k*x - 26*a**2 + a*g**3*x + a*g**2*x - 3*a*g*k*x wrt a?
6*g**3*k - 84*g**3*x - 78*k*x
What is the third derivative of -2750*o**5 + 555*o**2 + o wrt o?
-165000*o**2
Find the third derivative of 12*z**4 - 58*z**3 + 2480*z**2.
288*z - 348
What is the first derivative of 359*r - 571 wrt r?
359
What is the third derivative of -12009*y**5 + 4*y**2 + 35*y wrt y?
-720540*y**2
What is the second derivative of 14*b**5*n + 3*b**5 + 3*b**2*n**3 - 19*b*n**3 - 2*b - 3 wrt b?
280*b**3*n + 60*b**3 + 6*n**3
Find the second derivative of -7*a*f**3 - 25*a*f**2 - 513*a*f wrt f.
-42*a*f - 50*a
Find the second derivative of -2*l**2*w**5 - 38*l**2*w**2 + l**2 + l*w + 1 wrt w.
-40*l**2*w**3 - 76*l**2
Find the first derivative of 212*i**2*v - 143*v wrt i.
424*i*v
What is the third derivative of j**2*y**3 + 2*j**2*y + 19764*j*y**5 + 7*j*y - 54*y**2 + 2 wrt y?
6*j**2 + 1185840*j*y**2
Find the second derivative of -28063*v**2 - 26082*v.
-56126
What is the second derivative of 136*j**5*r - 27*j**2 + 3568*j*r + 2*r wrt j?
2720*j**3*r - 54
Find the third derivative of -214*q**3 - 84*q**2.
-1284
Find the third derivative of 3188*d**3*j + 1316*d**2*j - 2*d*j wrt d.
19128*j
Differentiate 2*d*p**3 - 37*d - 4*p**3 - 3*p**2 wrt
|
{
"pile_set_name": "DM Mathematics"
}
|
-2 - (4 + -5). Let d = 11 + 8. What is the highest common divisor of n and d?
19
Let d(i) = i - 8. Let r be d(12). Let c = -4 + 8. Suppose -2*g = u - 22, 0 = -c*u + u + 4*g + 56. What is the highest common divisor of u and r?
4
Suppose -4*t = r - 90, r + 1 = t - 19. What is the highest common factor of 99 and t?
11
Suppose -5*z + 3 = -7. Suppose 4*d + 2*v - 30 = 0, -2*d - z*d + 5*v + 9 = 0. What is the greatest common factor of 54 and d?
6
Let b(k) = k**2 - 4*k + 5. Let a be b(6). What is the greatest common divisor of 17 and a?
17
Suppose 3*b - 4*b = -70. Let n(y) = 4*y - 2. Let p be n(-7). Let d be (-49)/(-5) - 6/p. Calculate the highest common divisor of d and b.
10
Let r = 41 - 24. Let p(n) = 2*n**2 - 3*n - 5. Let i be p(-6). What is the greatest common factor of i and r?
17
Let q be (4/(-6) + 1)*0 + 3. Suppose -4 + 36 = h - 4*c, h - 3*c - 30 = 0. Calculate the highest common divisor of q and h.
3
Let h be (-1 - -1) + 4 + -1. Let o(n) = 12*n**2 + 3*n - 5. Let l be o(h). What is the greatest common factor of 28 and l?
28
Let p be (-20)/(-1 + 1/3). Calculate the greatest common factor of 300 and p.
30
Let t be 94 - (-1 + 2 + 1). What is the highest common divisor of 23 and t?
23
Let l be 4/6*1*24. Suppose 0 = -6*t + 56 + 40. What is the highest common factor of t and l?
16
Suppose -5*s - 16 = -56. Let y(i) = 8*i**2 - 6*i. Let x be y(6). Let p = -180 + x. Calculate the greatest common divisor of s and p.
8
Suppose -2*n = 2 - 38. Calculate the greatest common factor of n and 36.
18
Let g = -6 - -9. Suppose 40 = 2*l + g*l. What is the greatest common divisor of 56 and l?
8
Let b(i) = i**3 + i**2 - i + 30. Let u be b(0). Calculate the greatest common factor of u and 90.
30
Let q = -15 - -24. Let g = -1 - -3. Suppose 6 = g*d - 6. Calculate the greatest common divisor of q and d.
3
Let s = 105 - 81. What is the greatest common factor of s and 168?
24
Suppose -t + 4 = 3*v - 2, -3 = t. Let y(l) = -l**3 - 8*l**2 - 12*l + 1. Let g be y(-6). What is the highest common factor of g and v?
1
Suppose -5*l + 381 = -2*w, 190 = 2*l - 2*w + 34. Calculate the greatest common factor of 50 and l.
25
Suppose -23 = -3*f - j, -3*f = -j - 17 - 8. Let n = 10 + f. Calculate the greatest common factor of 180 and n.
18
Let o = 4 + -1. Suppose 0*z + o*z - 12 = 0. Calculate the greatest common divisor of 1 and z.
1
Suppose -4*c + 52 = 4*x, -3*x + 2*c + 23 = -3*c. Calculate the greatest common factor of x and 110.
11
Let j be (-4 + 0)/2 - -16. What is the highest common divisor of 14 and j?
14
Suppose -4 = -2*c - 0. Let k be (-1 + c)*(6 + 1). Let w(u) = -u**2 + 9*u - 10. Let v be w(k). Calculate the highest common divisor of 4 and v.
4
Let a(o) = 7*o + 4. Let j(y) = 8*y + 4. Let z(f) = -3*a(f) + 2*j(f). Let b be z(-3). Calculate the greatest common divisor of 1 and b.
1
Let d = 88 + -26. Suppose -2*b + 2*c - 74 = -0*c, 0 = -2*b - 4*c - d. Let t = 90 + b. Calculate the greatest common factor of t and 11.
11
Let i(w) = -2*w**3 - 4*w**2 + w. Let z be i(-3). Let c be ((-36)/z)/((-6)/15). Calculate the greatest common factor of c and 66.
6
Suppose q - 30 = -0*q. Suppose 3*u - q = -3*l, -5*l - 4*u + u = -40. Let x = 76 - 71. What is the highest common factor of l and x?
5
Suppose -3*o - 5*t + 28 = -245, 5*o - 5*t - 495 = 0. Let k = -93 + 134. Suppose -5*w + 19 = -k. Calculate the highest common divisor of w and o.
12
Suppose -3*o - 72 = o. Let h be 49/63 - 4/o. What is the highest common divisor of h and 1?
1
Let y(m) = m + 2. Let v be y(0). Suppose -d + 11 = -5*x + v, 4 = d. Let w be 1*x + 5 + 2. What is the highest common factor of 42 and w?
6
Suppose -2*o - 5*b + 10 = -o, b + 19 = 4*o. What is the highest common factor of 2 and o?
1
Let g be (-4)/(-54)*3 - (-160)/9. Calculate the greatest common factor of g and 18.
18
Let i(g) = 3*g**2 - 5*g + 1. Let h be i(2). What is the greatest common factor of h and 33?
3
Let j = -69 - -74. What is the highest common divisor of j and 65?
5
Suppose -3*t = -3*o - 2*t + 37, -2*o = -5*t - 29. Suppose 0 = m - 1 - 2. Let q be ((-1)/2)/(m/(-504)). What is the highest common factor of o and q?
12
Suppose -l - 13 = -1. Let t be (-24)/(-10)*(-450)/l. Calculate the highest common divisor of t and 10.
10
Let f be -4 - 9/((-36)/104). Calculate the highest common divisor of f and 55.
11
Suppose 2*f = 3*w + 33, 5*w + 10 = 2*f - 29. What is the highest common factor of 12 and f?
12
Suppose 3*d - 63 = -0*d + 3*y, 3*d - 4*y - 61 = 0. Let h = -6 + d. Suppose q = 4*q - 102. Calculate the greatest common divisor of q and h.
17
Suppose 2*a - 4*a = -6. Suppose -a*k - 40 = -8*k. What is the greatest common divisor of 1 and k?
1
Let u(t) = -4*t - 10. Let c be u(-11). Calculate the highest common factor of c and 85.
17
Let q = -27 + 34. Let m = -97 + 174. What is the highest common factor of q and m?
7
Let x be (-54)/(-10) + 10/(-25). Suppose 0 = 3*m + x*d - 61, 3*d = m + m - 9. What is the greatest common factor of 132 and m?
12
Let l be -2*(-9)/(-6) + 20. Suppose t - 39 = 3*b, -3*t - b - l = -124. What is the highest common factor of t and 24?
12
Let p(b) = 19*b. Let z be p(2). Let h = -23 + z. What is the greatest common factor of h and 10?
5
Let z(f) = 37*f**2 - 3*f + 1. Let j be z(1). Calculate the highest common factor of j and 5.
5
Suppose 4*m - 5*m + 25 = 0. Let b = 14 + -9. Calculate the highest common factor of m and b.
5
Let s be 62/6 - (-7)/(-21). Suppose -16 = -4*p - 2*o, 3*p = -6*o + 5*o + s. Calculate the highest common divisor of 3 and p.
1
Let a(p) = p**2 - 5*p - 16. Let g be a(-9). What is the highest common divisor of g and 10?
10
Let l(i) = i**2 - 3*i. Let k be l(-5). Let s be ((-2)/(-6))/(1/(-3)). Let q be (-2 - -1) + s + 62. Calculate the greatest common factor of k and q.
20
Let m be -3*1/3 + 5. What is the highest common divisor of m and 8?
4
Suppose -4*m + 48 = 4*s, -s = 3*s - m - 48. Let g(o) = 6*o**2 - o - 4. Let v be g(-4). Calculate the highest common divisor of v and s.
12
Let f = -1 - -3. Suppose 7*i - f*i - 715 = 0. Suppose 3*z = -14 + 53. Calculate the highest common divisor of z and i.
13
Let u(r) = r**2 - 5*r - 4. Let p = 4 + -2. Suppose -5*x - 6*w + w = -10, 4*x + 2*w = -p. Let t be u(x). What is the highest common factor of t and 220?
20
Suppose 4*h + 5*h = 306. Calculate the highest common factor of h and 51.
17
Let z be ((-1190)/5)/(-3 - -1). Calculate the highest common factor of z and 17.
17
Let b be (-3)/(-1) + 51/1. Let t = b + -37. What is the greatest common factor of 17 and t?
17
Let r = 13 + 2. Let p(b) = 6*b**3 - b**2 + 1. Let d be p(1). Calculate the highest common divisor of d and r.
3
Let v(h) = -h**3 + 6*h**2 + 9*h - 1. Let c be v(7). Suppose -103 = -2*k - 25. What is the greatest common factor of k and c?
13
Let c(j) = j**3 - 13*j**2 - 15*j + 12. Let p be c(14). Let q be 4/((-8)/7)*p. What is the highest common divisor of 77 and q?
7
Let l = 409 + -229. What is the highest common factor of l and 18?
18
Let o be (-90)/(-2)*1/1. Let t(d) be the first derivative of 2*d**3/3 - 7*d**2/2 + 1. Let u be t(5). Calculate the greatest common factor of u and o.
15
Let u be ((-2)/(-4))/(4/48). What is the greatest common divisor of u and 24?
6
Let r = -20 + 21. Let q be (r - (-2 + -1))*5. What is the greatest common factor of 10 and q?
10
Let p = -1 - -65. Let x be 2/10 - (-222)/15. Let n = -7 + x. Calculate the greatest common factor of p and n.
8
Suppose 0 = i - 5*c - 32, -3*i = 2*c - 41 - 38. Let s be i*1 + 13/13. Calculate the greatest common factor of 28 and s.
28
Suppose -2*c = -6*c + 20. Suppose -c = -2*q + 5. Suppose q*v + 67 = 342. Calculate the greatest common factor of v and 5.
5
Let y(b) = -4 + 6*b**2 - 6*b**2 + 5*b + 2*b**2. Let o be y(4). Let f(d) = d**2 - 3*d + 6. Let a be f(5). Calculate the highest common factor of o and a.
16
Suppose -4*n - 5*r - 7 = 5, 0 = n + 2*r + 6. Suppose 0 = -4*w + n*w + 16. Calculate the highest common divisor of w and 64.
8
Suppose 4*i - 112 = -0*i. Suppose 0 = j + j - i. What is the greatest common factor of j and 42?
14
Suppose -6*c + 24 = 2*s - 2*c, s - 4*c = 0. Let b be (-1)/2 + (-632)/(-16). Suppose 2*i + b = 215. Calculate the highest common factor of i and s.
8
Suppose 3*j + 3 = -0*j. Let k be 2 + 2 - (1 + j). Suppose 0 = 3*u - 4*u + 5*w + 42, -86 = -3*u - 5*w. Calcula
|
{
"pile_set_name": "DM Mathematics"
}
|
rd derivative of -17*v**2 - 148 - 29*v**i + 148 wrt v?
-696*v
Suppose -19 = -4*i - 7. Find the first derivative of -9 + q**i - 8*q**3 - 6 wrt q.
-21*q**2
Find the second derivative of -48*x - 78*x**2 - 29*x + 131*x wrt x.
-156
Suppose 2*a - 5 = -h, h + 7 = 4*a - 12. Let v(w) be the first derivative of 1/5*w**5 - 2 - 7*w + 0*w**3 + 0*w**a + 0*w**2. What is the derivative of v(o) wrt o?
4*o**3
Let j(b) = -b**2 - 3*b - 2. Let o be j(-2). Suppose d + 4*t = -o*t + 15, 0 = -4*t. Differentiate 6*v**2 + 21*v + d*v - 7 - 36*v wrt v.
12*v
Let n = 11 - 8. Let i be 1 + -4 + 9 - n. Find the second derivative of x**4 - x - i*x**4 - x - x wrt x.
-24*x**2
Suppose -3*k + 6 = -18. Suppose b - q = 2*q + 12, -2*q = -5*b + k. What is the second derivative of b*u**5 + 10*u + 4*u - 9*u + u**5 wrt u?
20*u**3
Let l(g) be the second derivative of 57*g**5/20 - 115*g**2/2 - 114*g. What is the derivative of l(r) wrt r?
171*r**2
Suppose 8*c - 78 = -18*c. Let o(v) be the second derivative of 0 + 0*v**5 + 0*v**c + 0*v**4 + 1/2*v**2 - 6*v - 2/15*v**6. Differentiate o(l) with respect to l.
-16*l**3
Let u(j) be the second derivative of -j**3/6 - 13*j**2/2 + 5*j. Let i(r) = -1. Let l(n) = 2*i(n) - u(n). What is the derivative of l(o) wrt o?
1
What is the derivative of -23*g - 10*g + 25 - 13*g + 7*g wrt g?
-39
Suppose 6 = -d + 8. What is the second derivative of 2*x**3 - 2265*x - d*x**3 + 2276*x + 7*x**4 wrt x?
84*x**2
Let l be (-16)/(-6)*(0 - 3). Let r = l + 11. Find the third derivative of -k**2 - r*k + k**5 + 3*k + 2*k**5 wrt k.
180*k**2
Let g(o) be the third derivative of -19/120*o**6 + 3*o**3 + 0 + 0*o - 26*o**2 + 0*o**5 + 0*o**4. Differentiate g(r) with respect to r.
-57*r**2
Suppose -t - 3 - 4 = -3*o, 0 = -2*o - 2*t + 18. What is the first derivative of -11*j**o - 12*j**4 - 13 + j**4 wrt j?
-88*j**3
Let t(r) be the second derivative of -47*r**3/3 - 101*r**2/2 + 2*r - 41. What is the first derivative of t(k) wrt k?
-94
Suppose -24*k = -17*k - 14. What is the first derivative of -19*x**k - 14*x**3 + 19*x**2 - 7*x**3 + 12 wrt x?
-63*x**2
Differentiate 109*c**4 - 4910 + 558*c**4 + 5101 wrt c.
2668*c**3
Let f(p) = -4*p**5 + 6*p**4 + 23*p**2 + 2*p. Let v(w) = w**5 - w**4 + w**2 - w. Let k(q) = -2*f(q) - 6*v(q). What is the third derivative of k(h) wrt h?
120*h**2 - 144*h
Let w be ((-22)/(-4 - 7))/1. Let m(q) = q**3 - 4*q**2 - 6*q + 7. Let t be m(5). Find the second derivative of 13*g + 12*g**t - 3*g**w + 5*g**2 wrt g.
28
Suppose -3 = -k - 0. What is the third derivative of 5*c**4 + c**2 + k*c**2 - 2*c**4 wrt c?
72*c
Let q(u) = 7*u**3 - 3. Let a(b) = -4*b**3 + 1. Let i = 8 + -3. Suppose 0*k + 25 = i*k. Let n(f) = k*a(f) + 2*q(f). What is the first derivative of n(x) wrt x?
-18*x**2
Let q(s) = -252*s + 311. Let w(b) = -251*b + 309. Let z(f) = -6*q(f) + 5*w(f). Differentiate z(y) wrt y.
257
Let n be (-1 + (-74)/6)/((-1)/3). What is the second derivative of -4*w + n + 18*w**4 - 40 - 13*w wrt w?
216*w**2
Let i(m) = 6*m**3 + 18*m**2 - 10. Let y be (3*(-6)/36)/(2/(-4)). Let t(l) = -l**3 + 1. Let j(d) = y*i(d) + 10*t(d). Find the third derivative of j(o) wrt o.
-24
Let x = -28 + 31. What is the third derivative of 13*k**4 - k**2 - 25*k**x - k**2 + 25*k**3 wrt k?
312*k
Let h(i) = 7*i**2 - 5*i - 9. Let r be h(-6). What is the third derivative of 4*b**6 - 6*b**6 - r*b**2 + 264*b**2 wrt b?
-240*b**3
Let v(d) be the first derivative of 94*d**3/3 + 88*d - 89. Differentiate v(b) wrt b.
188*b
Let t(m) be the first derivative of -16*m**5 + 109*m**3/3 - 41. What is the third derivative of t(p) wrt p?
-1920*p
Let r(q) = -354 + 179 + 174. Let v(x) = 0*x**2 - 2*x**2 - x**2 + x + 3. Let c(p) = -3*r(p) - v(p). Find the second derivative of c(d) wrt d.
6
Let j(t) be the third derivative of t**6/60 + 161*t**5/20 + 185*t**4/8 - 6*t**2 + 32*t. What is the second derivative of j(o) wrt o?
12*o + 966
Let f = -245 - -251. Suppose 4*a + 15 = a, -4*o + 3 = a. What is the third derivative of -8*c**o - 3*c**f - 2*c**6 + 7*c**2 wrt c?
-600*c**3
Suppose -3*d - b = -17, -5*b = 5*d - 0*b - 35. What is the third derivative of 7*u**2 - 2*u**2 + 13*u**2 + u**d wrt u?
60*u**2
Let c(g) be the third derivative of g**7/6 - 137*g**5/60 - 13*g**2. Find the third derivative of c(i) wrt i.
840*i
Let a(d) = -42*d**2 + 32*d - 7. Let n(f) = 21*f**2 - 16*f + 3. Suppose 4*s + 5 + 7 = 0. Let q(h) = s*a(h) - 7*n(h). What is the second derivative of q(g) wrt g?
-42
Let p(r) = -25*r**2 - 5*r + 193. Let f(d) = 13*d**2 + 3*d - 96. Let j(a) = 7*f(a) + 4*p(a). What is the first derivative of j(u) wrt u?
-18*u + 1
Let l(j) be the third derivative of -5*j**8/336 + j**7/14 - 7*j**5/60 + 6*j**3 - 21*j**2 + 7*j. Find the third derivative of l(g) wrt g.
-300*g**2 + 360*g
What is the derivative of 68 - 32*r**4 - 45*r**4 - 120*r**4 + 0*r**4 wrt r?
-788*r**3
Let g(i) be the first derivative of -17*i**3/3 + 7*i**2/2 + 408*i - 149. What is the first derivative of g(d) wrt d?
-34*d + 7
Let h(o) be the third derivative of o**4/6 - 7*o**3/6 - 3*o**2. Let t be h(3). What is the second derivative of n**5 - 5*n**t + n**5 - 6*n + 0*n wrt n?
-60*n**3
Let g(t) be the first derivative of -17*t**7/42 + 5*t**4/6 + 15*t + 8. Let w(d) be the first derivative of g(d). What is the third derivative of w(k) wrt k?
-1020*k**2
Let r(d) be the second derivative of d**9/36 + d**5/12 - 3*d**2/2 - 9*d. Let f(i) be the first derivative of r(i). What is the third derivative of f(c) wrt c?
1680*c**3
Suppose -c = i - 1, 0 = -5*i - 4*c + 8. Suppose 0*t + 5*t - 50 = 0. Differentiate -t + 3*f**4 - 7*f**i + 8 with respect to f.
-16*f**3
Let w(d) be the second derivative of d**8/14 - 29*d**4/24 + d**2 - 4*d. Let f(t) be the first derivative of w(t). Find the second derivative of f(c) wrt c.
480*c**3
Let v(h) be the third derivative of -47*h**7/70 - h**5/15 - 497*h**4/24 - 49*h**2 + 8. Find the second derivative of v(m) wrt m.
-1692*m**2 - 8
Let t(f) be the first derivative of -f**7/210 - 13*f**3/6 + 5*f**2 - 1. Let j(v) be the second derivative of t(v). Find the first derivative of j(d) wrt d.
-4*d**3
Let t(w) = -w**3 - w**2 + 2*w - 1. Let h(l) = 55*l**3 + 6*l**2 - 12*l - 83. Let z(u) = h(u) + 6*t(u). Find the first derivative of z(y) wrt y.
147*y**2
What is the first derivative of 334 - 2*y**3 + 2*y**3 + 108762*y**4 - 108509*y**4 wrt y?
1012*y**3
Let g be (-84)/(-1134) - (-88)/270. Let a(h) be the first derivative of -12*h - g*h**5 + 0*h**2 + 0*h**3 + 0*h**4 + 4. Find the first derivative of a(k) wrt k.
-8*k**3
What is the third derivative of 35*a - 185*a**3 + 27*a - 406*a**2 + 411*a**2 wrt a?
-1110
Suppose 2 = 2*a - 6. What is the second derivative of 7*i + 33*i**3 + 12*i**a - 33*i**3 wrt i?
144*i**2
What is the second derivative of 53*d**2 + 279*d**2 + 231*d**2 - 429*d - 17*d**2 + 64*d**2 wrt d?
1220
Let r(l) = -575*l**2 + 448*l. Let p(f) = 115*f**2 - 91*f. Let a(x) = 22*p(x) + 4*r(x). What is the second derivative of a(b) wrt b?
460
Let j(m) = -m**3 + m**2 + m - 1. Suppose -6*u - 1 - 5 = 0. Let n(s) = 13*s**2 + 13*s. Let a(y) = u*n(y) + 13*j(y). Find the first derivative of a(c) wrt c.
-39*c**2
Find the third derivative of 0*i**3 + 54 - 25 - 27 + 2*i**3 + 6*i**2 + 3*i**4 wrt i.
72*i + 12
Let m(j) be the first derivative of 28*j**4 - 37*j**3 + 114. Find the third derivative of m(p) wrt p.
672
Let i(w) = -2*w - 9. Let d be i(-4). Let j be d/(-3 - 68/(-24)). What is the second derivative of 2*b**2 - 4*b**2 - j*b + 8*b**2 wrt b?
12
Let q(x) be the third derivative of 10*x**7/21 + 79*x**5/20 + 77*x**2. Find the third derivative of q(b) wrt b.
2400*b
What is the third derivative of 7969*g**6 + 253*g**2 - 69*g**3 - 56*g**3 + 11*g**3 - 7970*g**6 wrt g?
-120*g**3 - 684
Let l(g) be the first derivative of 4 + 0*g + 2*g**3 - 3/5*g**5 + 0*g**4 + 0*g**2. What is the third derivative of l(z) wrt z?
-72*z
Let g = 20 - 14. Suppose -2*w - g = -5*w. Find the third derivative of 3*k**4 - w*k**2 - 4*k**4 - 2*k**4 - 2*k**2 wrt k.
-72*k
Let z = 77 - 75. Find the third derivative of d**2 - 17*d**z + 8*d**5 + 13*d**5 wrt d.
1260*d**2
Let p be -1 + -3 - 38*1. Let d be 12/(-30) - p/5. Find the second derivative of -14 + 6 - 6*r**4 - 12*r + d wrt r.
-72*r**2
Let k be (15/(-6))/(25/(-20)). Differentiate 1521*v + 4 - 1521*v + 11*v**k + 6*v**2 with respect to v.
34*v
What is the third derivative of 19*c
|
{
"pile_set_name": "DM Mathematics"
}
|
common denominator of -17/893574 and -143/16030176?
528995808
Calculate the least common multiple of 5 and 14991.
74955
Find the common denominator of -109/322586 and -35/2046.
967758
Calculate the lowest common multiple of 3805111 and 589722.
159814662
What is the lowest common multiple of 529 and 1763617?
40563191
Calculate the lowest common multiple of 25076656 and 6839088.
75229968
Calculate the smallest common multiple of 32654 and 2546.
41568542
What is the common denominator of -77/2250 and -89/9099750?
27299250
What is the least common multiple of 2232776 and 107345?
11163880
What is the common denominator of 169/31563600 and -1/34500?
3629814000
Find the common denominator of 32/21333 and 61/111951.
796083561
Find the common denominator of -49/5150844 and -53/24.
10301688
Calculate the smallest common multiple of 15337199 and 4.
61348796
What is the lowest common multiple of 190629 and 14275994?
128483946
Find the common denominator of 13/3402996 and -47/1701498.
3402996
What is the least common multiple of 306218845 and 2035?
3368407295
What is the smallest common multiple of 83882840 and 29200?
838828400
What is the smallest common multiple of 395395 and 1114295?
12257245
What is the common denominator of -1/11880160 and 21/14488?
11880160
What is the smallest common multiple of 39150 and 1236?
8064900
What is the common denominator of -7/1897320 and -19/4401?
17075880
What is the lowest common multiple of 10 and 7623040?
7623040
Calculate the lowest common multiple of 210 and 68980.
1448580
What is the common denominator of -81/2699368 and 3/96406?
2699368
Calculate the smallest common multiple of 183792 and 3696.
2021712
Find the common denominator of 7/236470 and 131/64090.
6857630
Calculate the common denominator of 101/32040 and -79/42264.
18807480
Find the common denominator of 10/2637307 and 41/1130.
26373070
What is the common denominator of 40/34389 and 6/35256367?
317307303
Find the common denominator of 2/88445 and -117/430.
7606270
Calculate the common denominator of -137/9901926 and 125/36.
19803852
What is the common denominator of -123/922210 and 109/9406542?
47032710
Find the common denominator of -111/790 and 38/67834535.
135669070
Find the common denominator of -17/39150 and 59/2725.
4267350
Find the common denominator of -61/163233 and 52/7853321.
70679889
What is the smallest common multiple of 189300 and 23370?
147464700
Calculate the common denominator of 149/31170 and -89/1500.
1558500
Find the common denominator of -111/33087824 and 23/1008.
297790416
Calculate the common denominator of -59/123912 and -29/111960.
192683160
Calculate the least common multiple of 12287808 and 15444.
135165888
What is the lowest common multiple of 68 and 14021470?
476729980
Calculate the common denominator of -25/792 and -91/149802624.
1647828864
Calculate the common denominator of 55/84704 and 71/296464.
592928
What is the common denominator of 1/6988 and -51/2700862?
5401724
Calculate the lowest common multiple of 7500708 and 15.
37503540
Calculate the common denominator of -111/39020 and 49/2653360.
2653360
What is the least common multiple of 112600 and 1120?
3152800
Calculate the lowest common multiple of 860 and 104716610.
209433220
Find the common denominator of -73/1412568 and -91/29256.
74866104
Calculate the smallest common multiple of 100912 and 17172.
8173872
What is the smallest common multiple of 516 and 291540?
291540
Calculate the least common multiple of 506443 and 64197.
4557987
What is the common denominator of 23/168 and -137/1221624?
8551368
Find the common denominator of -81/44540 and -69/1780.
3964060
What is the common denominator of 73/2504666 and -27/12523330?
12523330
What is the common denominator of -131/567490 and 131/107870?
13052270
What is the lowest common multiple of 55100 and 1163480?
110530600
What is the common denominator of -1/52088 and -43/402696?
154232568
Calculate the least common multiple of 2116636 and 1027191.
69848988
Find the common denominator of 163/804360 and 79/4852.
975688680
What is the common denominator of 53/702 and -37/3902028?
35118252
What is the common denominator of -85/4312 and 47/13904792?
681334808
What is the smallest common multiple of 54947571 and 211940631?
1483584417
What is the common denominator of 27/5046620 and 26/255?
15139860
What is the lowest common multiple of 269408 and 4016?
67621408
Find the common denominator of -21/269960 and 119/17760.
119862240
Calculate the common denominator of 54/4965311 and 22/1737.
44687799
Calculate the common denominator of 41/9576 and -137/167580.
335160
What is the common denominator of -109/34869280 and 31/31382352?
313823520
What is the common denominator of 137/638792 and -85/61488?
11498256
Calculate the common denominator of 37/315476 and 27/6764.
28077364
Calculate the lowest common multiple of 1695 and 370816845.
370816845
Find the common denominator of -21/31676905 and -23/40430.
63353810
What is the common denominator of 27/22 and 17/175626?
175626
What is the common denominator of 4/2457 and -14/150651?
41127723
Calculate the smallest common multiple of 4058040 and 6376920.
44638440
What is the common denominator of -39/296 and -41/22224124?
44448248
What is the smallest common multiple of 681 and 11496?
2609592
Calculate the least common multiple of 3025548 and 4366566.
1999887228
What is the common denominator of 55/3876758 and 35/58?
112425982
What is the common denominator of -98/5445 and 76/9377577?
515766735
Find the common denominator of 161/172146 and -47/150.
4303650
What is the smallest common multiple of 387 and 23003?
8902161
What is the lowest common multiple of 50256 and 8236400?
74127600
Calculate the lowest common multiple of 2163080 and 74460.
473714520
Calculate the common denominator of 103/1013532 and -23/711750.
126691500
Find the common denominator of -113/5616 and 149/74376.
5801328
What is the smallest common multiple of 381830900 and 59156900?
4200139900
What is the common denominator of -20/136101 and 83/9954816?
69683712
What is the lowest common multiple of 16416 and 68742?
1099872
Find the common denominator of 19/104711 and 79/906.
94868166
What is the least common multiple of 183128 and 6272134?
25088536
What is the common denominator of -191/707730 and -17/390?
9200490
Calculate the common denominator of 59/2014 and -81/19988.
1059364
Calculate the common denominator of 23/1521189 and 55/18761331.
56283993
Find the common denominator of -85/804608 and -187/161640.
36207360
What is the least common multiple of 89835330 and 1950?
449176650
Find the common denominator of 161/450 and -103/3804390.
19021950
What is the smallest common multiple of 132 and 29698878?
59397756
What is the common denominator of 8/43444941 and -59/24?
347559528
Calculate the common denominator of 2/1649061 and -13/90774.
9894366
Find the common denominator of 53/20022 and -13/1503906.
106777326
What is the smallest common multiple of 18 and 52476896?
472292064
What is the common denominator of -74/1233 and -97/56066976?
56066976
What is the lowest common multiple of 938616 and 1480?
4693080
Calculate the common denominator of 37/40271533 and -91/6.
241629198
Calculate the lowest common multiple of 3205 and 451385.
289337785
What is the lowest common multiple of 588 and 79916?
11747652
Find the common denominator of 85/194708 and 5/48.
2336496
Calculate the least common multiple of 752855 and 13250248.
66251240
Calculate the common denominator of -14/13325 and -31/543045.
35297925
Calculate the lowest common multiple of 1089432 and 7141832.
64276488
What is the common denominator of -65/932 and 101/2066616?
481521528
Calculate the smallest common multiple of 326 and 847398.
138125874
Calculate the smallest common multiple of 27250 and 11225.
12235250
Find the common denominator of 11/180 and -13/3524688.
17623440
Calculate the least common multiple of 9242044 and 72772.
9242044
What is the common denominator of -101/2541200 and -47/20?
2541200
What is the smallest common multiple of 1893919 and 891256?
15151352
What is the common denominator of -137/907008 and -63/3104?
87979776
Calculate the common denominator of 41/7732715 and 42/10925.
38663575
Find the common denominator of 53/3250688 and -81/24
|
{
"pile_set_name": "DM Mathematics"
}
|
2
Collect the terms in -5*z**3 - 5*z**3 + 15*z**3.
5*z**3
Collect the terms in -8 + 41 - 16 + 4*h - 17.
4*h
Collect the terms in -113*c + 2 + 109*c - 2.
-4*c
Collect the terms in 2*z + 6*z + 11*z.
19*z
Collect the terms in -7*y**2 + 21*y**2 - 27*y**2.
-13*y**2
Collect the terms in -21 + 7 + 14 + 2*o**3.
2*o**3
Collect the terms in -37*r**3 - 33*r**3 - 26*r**3.
-96*r**3
Collect the terms in -12 + 44 - 17 + l.
l + 15
Collect the terms in -132*v + 1 + 0 - 1.
-132*v
Collect the terms in -10 + 10 + 86*t - 88*t.
-2*t
Collect the terms in -6*m - 8*m + 20*m - 5*m.
m
Collect the terms in -2*x - 3*x + 6*x.
x
Collect the terms in -56*v**3 + 57*v**3 + 29 - 29.
v**3
Collect the terms in 17*f**2 - 4*f**3 + 2*f**3 - 54*f**2.
-2*f**3 - 37*f**2
Collect the terms in -121 - 175*n**2 + 121.
-175*n**2
Collect the terms in 95*z + 20 - 8 - 12.
95*z
Collect the terms in -1 + 1 - 205*u + 1776*u.
1571*u
Collect the terms in 12*j + 31*j - 99*j + 26*j.
-30*j
Collect the terms in -3*l - 16*l + l.
-18*l
Collect the terms in 5*a**2 + 5*a**2 - 22*a**2 + 11*a**2.
-a**2
Collect the terms in -110*u - 98*u - 112*u + 427*u - 111*u.
-4*u
Collect the terms in -32 + 2*n - 3*n + 9 - 2*n.
-3*n - 23
Collect the terms in -26*z**3 - 24*z**3 + 51*z**3.
z**3
Collect the terms in 0 - 956*b**2 - 2 + 2.
-956*b**2
Collect the terms in 547*l + 472*l + 499*l.
1518*l
Collect the terms in 202*h + 94*h + h**2 - 296*h.
h**2
Collect the terms in 1 - 6 + 12*z + 1 - 14*z.
-2*z - 4
Collect the terms in -11 + 8 + 3 - 25*s.
-25*s
Collect the terms in 13*w - w + 5*w - 2*w.
15*w
Collect the terms in -d**2 + 270*d - 571*d + 301*d.
-d**2
Collect the terms in 12*l + 372640 - 372640.
12*l
Collect the terms in 3*u - 5*u - 4*u.
-6*u
Collect the terms in -6*l + l - 11*l**2 + 2*l**2 + 2*l.
-9*l**2 - 3*l
Collect the terms in 3*q + 0*q**2 - q**2 + 2*q + 3*q.
-q**2 + 8*q
Collect the terms in 1 - 6*s + 1 - 7.
-6*s - 5
Collect the terms in -15*v**3 - 47*v**3 + 33*v**3 - 7*v**3.
-36*v**3
Collect the terms in -13*v + 28*v - 12*v - 6*v.
-3*v
Collect the terms in -15 - 5*t + 5 + 10.
-5*t
Collect the terms in 373*n - 749*n + 376*n + 44*n**3.
44*n**3
Collect the terms in -4*c**3 + c + c + 43*c**2 - 43*c**2.
-4*c**3 + 2*c
Collect the terms in 5*t**3 + 18*t**3 + 9*t**3.
32*t**3
Collect the terms in -437*l + 444*l + 9 - 9.
7*l
Collect the terms in 7 - b**3 - 3*b**2 - 7.
-b**3 - 3*b**2
Collect the terms in 23 - 61 + 22 + 16 + 2*m.
2*m
Collect the terms in b**3 + 22*b**3 - 20*b**3 + 6*b**3.
9*b**3
Collect the terms in -1 + 0 - 28*x + 1 + 8*x.
-20*x
Collect the terms in -318*k + 3*k**3 + 318*k.
3*k**3
Collect the terms in -57*z + 26*z + 67*z**3 + 31*z.
67*z**3
Collect the terms in -g - 2*g + 3*g + 345*g**2.
345*g**2
Collect the terms in -86*d**2 - 85*d**2 - 84*d**2 + 8*d**3 + 255*d**2.
8*d**3
Collect the terms in -5*m - 7 + 5*m + 5*m**2.
5*m**2 - 7
Collect the terms in -14*l**2 - 7559*l + 7559*l.
-14*l**2
Collect the terms in 34*l - 47*l + 19*l.
6*l
Collect the terms in -j**3 + 678 + 2*j**3 - 678.
j**3
Collect the terms in 4*n - 7*n - 3 - 5.
-3*n - 8
Collect the terms in 6*k**2 - 9*k**2 + 15*k**2.
12*k**2
Collect the terms in 582 - 582 - 2*l**3.
-2*l**3
Collect the terms in 26*c - 51*c + 9*c + 24*c.
8*c
Collect the terms in 2 + 11 - 5*t - 13.
-5*t
Collect the terms in 66*c**3 + c**2 + 16346*c - 16346*c.
66*c**3 + c**2
Collect the terms in 11*y**3 + 6*y**3 + 2*y**3.
19*y**3
Collect the terms in -6*t + 19*t - 9*t - 6*t.
-2*t
Collect the terms in -8*t + 0*t**2 + 6*t + 21*t**2.
21*t**2 - 2*t
Collect the terms in 24*c + 23*c - 48*c.
-c
Collect the terms in 4*u - 6*u + 13 - 2*u.
-4*u + 13
Collect the terms in -691*x - 689*x - 684*x + 2749*x - 686*x.
-x
Collect the terms in 126 - 20*m - 126.
-20*m
Collect the terms in 3 - 43*c**3 + 44*c**3 - 3.
c**3
Collect the terms in 8*g + 11 - 11 + 21*g.
29*g
Collect the terms in 9*w - 36*w + 110 - 110.
-27*w
Collect the terms in 59 + 31*d - 29 - 29.
31*d + 1
Collect the terms in -12*i + i - 6*i + i.
-16*i
Collect the terms in 7799*g**2 - 7799*g**2 + 43*g**3.
43*g**3
Collect the terms in 9*d**2 - 5*d**2 - 9*d**2.
-5*d**2
Collect the terms in 24*b**3 - 17*b**3 - 3*b**3.
4*b**3
Collect the terms in 9*s + 4*s + 8*s + 0*s.
21*s
Collect the terms in -11 - 4 + 15 - 34*v.
-34*v
Collect the terms in -211 - 204 + 2*p + 623 - 208.
2*p
Collect the terms in -153*r + 314*r - 149*r.
12*r
Collect the terms in 9*z + 9*z + 2*z**3 - 16*z - 2*z.
2*z**3
Collect the terms in -525*t**3 + 10*t - 10*t + 523*t**3.
-2*t**3
Collect the terms in 3*w - 2*w - 3 + 12*w**3 - w.
12*w**3 - 3
Collect the terms in 43*b + 67*b + 41*b - 149*b.
2*b
Collect the terms in -2*h**2 - h + h + 35*h**3.
35*h**3 - 2*h**2
Collect the terms in -11*d**2 + 12*d**2 + 8*d**2.
9*d**2
Collect the terms in -61*b - 26*b**2 + 61*b.
-26*b**2
Collect the terms in 5 + 0*u**3 + 12 - 5 - 2*u**3.
-2*u**3 + 12
Collect the terms in -6 + 6 - 5*i**2.
-5*i**2
Collect the terms in -4 + 0 + l + 0*l + 3.
l - 1
Collect the terms in 14*m**2 + 3*m**2 + 9*m**2 - m**2 - 7*m**2.
18*m**2
Collect the terms in 18*k - 21*k + 8*k.
5*k
Collect the terms in -y + 0*y + 7*y**3 + 31*y**3.
38*y**3 - y
Collect the terms in 30*z + 32*z + 23*z - 87*z.
-2*z
Collect the terms in -10*n**2 + 35 - 35 - 13*n**2.
-23*n**2
Collect the terms in 32*d**2 - 6*d**2 - 12*d**2 - 13*d**2.
d**2
Collect the terms in 14*u**3 + 34*u**3 - 73*u**3.
-25*u**3
Collect the terms in 3 + 4*q**2 - 2 + q**2 + 1.
5*q**2 + 2
Collect the terms in -44*q**2 + 8*q - 7*q - q.
-44*q**2
Collect the terms in -31*z - 32*z + 16*z.
-47*z
Collect the terms in -15*i**2 + 21*i**2 + 0 + 0.
6*i**2
Collect the terms in 308*x + 308*x - 923*x + 306*x.
-x
Collect the terms in -29 + 5*u - 32 + 61.
5*u
Collect the terms in -18*p**3 + 10 + 3 - 6.
-18*p**3 + 7
Collect the terms in 22*z**3 - 10*z**3 - 11*z**3.
z**3
Collect the terms in -452*t**2 - 4*t**3 + 686*t**2 + 6*t**3 - 234*t**2.
2*t**3
Collect the terms in 4409 - 3*g + 59*g**2 - 4409.
59*g**2 - 3*g
Collect the terms in -266 - 7*o**3 + 266.
-7*o**3
Collect the terms in -z**2 - 75417 + 75417.
-z**2
Collect the terms in 34*z - 12*z - 12*z - 16*z.
-6*z
Collect the terms in 4*f + f + f - 7*f.
-f
Collect the terms in 654*y - 656*y + 1 - 1.
-2*y
Collect the terms in -75*f - 70*f - 64*f + 199*f.
-10*f
Collect the terms in 30*o**2 - 122*o**3 - 30*o**2.
-122*o**3
Collect the terms in 31*x**3 - 178*x**3 - 93*x**3.
-240*x**3
Collect the terms in 1 - 7 + 7 + 98*p.
98*p + 1
Collect the terms in s**2 - 1 - 7*s**2 - 3*s**2.
-9*s**2 - 1
Collect the terms in 254 + 25*u**2 - 254.
25*u**2
Collect the terms in 5*x - 12*x - 7*x**2 + 7*x.
-7*x**2
Collect the terms in 1 - 671*u**2 - 1 + 0 + 673*u**2.
2*u**2
Collect the terms in -184*x**3 + 3*x - 2*x + 48*x**3.
-136*x**3 + x
Collect the terms in -15*x + 12*x + 5*x + 2*x.
4*x
Collect the terms in 6 + 7 - c + 10 - 16.
-c + 7
Collect the terms in -2 + 2 - 32848*s**2 + 32850*s**2.
2*s**2
Collect the terms in -22*f + 11*f**2 + 22*f.
11*f**2
Collect the terms in 9*x**2 - 18*x**2 + 7*x**2.
-2*x**2
Collect the terms in -18*a - a + 7*a + 11*a.
-a
Collect the terms in 38*p + 32*p - 75*p.
-5*p
Collect the terms in -22*x**2 + 13 + 12*x**2 - 10.
-10*x**2 + 3
Collect the terms in -36*c**3 - 28*c**3 + 61*c**3.
-3*c**3
Collect the terms in 7*r**2 - 12984 + 12984.
7*r**2
Collect the terms in 19*p**2 - 19*p**2 + 2074*p**3.
2074*p**3
Collect the terms in 49 - 18 + 10*o**3 - 29.
10*o**3 + 2
Collect the terms in -6*y**3 + 19620 - 19620.
-6*y**3
Collect the terms in -48*s - 48*s + 92*s.
-4*s
Collect the terms in 12*p**3 + 12*p**3 - 27*p**3.
-3*p**3
Collect the terms in -12*j + 3*j + 5*j + 2*j.
-2*j
Collect the terms in -14*l**3 + 6*l**3 + 15*l**3.
7*l**3
Collect the terms in 40*h - 106*h + 34*h + 35*h.
3*h
Collect the terms in -q**2 + 6214*q - 6214*q.
-q**2
Collect the terms in -3 - 11 + 5*d - 3*d + 14.
2*d
Collect the terms in 18*u**2 + 35*u**3 - 18*u**2 + 1.
35*u**3 + 1
Collect the terms in -7*u**3 - 232*u + 232*u.
-7*u**3
Collect the terms in 2 - 4*a**2 - 58*a - 706*a - 28*a.
-4*a**2 - 792*a + 2
Collect the terms in 45*j**3 + 12*j**3 - 12*j**3 + 27*j**3.
72*j**3
Collect the terms in -419*q - 423*q + 843*q.
q
Collect the terms in -16*j - j - 7*j.
-24*j
Collect the terms in -2*p**3 - 19293 + 19293.
-2*p**3
Collect the terms in 1094*f - 1094*f - f**3.
-f**3
Collect the terms in -207
|
{
"pile_set_name": "DM Mathematics"
}
|
composite number?
False
Let c = 1 - 0. Suppose 2*x + 38 + c = -3*u, -4*x - u - 73 = 0. Is (3 + x)*39/(-9) prime?
False
Suppose 7 + 3 = -2*k. Let c = -7 - k. Is (-24)/(-3) + -3 - c a prime number?
True
Suppose u = -u + 7896. Let q be 1/4 - u/(-16). Suppose -2*y - l + q = -66, 2*l + 316 = 2*y. Is y a composite number?
False
Suppose 2 = -3*o + k - 2*k, 4*k = -o - 19. Let f be 6/(o - 3) + -1. Is 4/(f/(-35)) - 0 a composite number?
True
Suppose -9218 = -14*c + 2108. Is c a prime number?
True
Let a(k) = -k**3 - k + 145. Is a(0) a composite number?
True
Let i(y) = -y**3 - 4*y**2 - 3*y - 1. Let x(c) = c**3 - 4*c + 1. Let n(d) = -d**3 + 3*d. Let b(s) = 3*n(s) + 2*x(s). Let h be b(2). Is i(h) a composite number?
False
Suppose j = -4*o - 3, 3*o + 21 = 5*j - 10. Let a(m) = -m**3 + 2*m**2 + 4*m. Let z be a(-4). Suppose -k + j*q + z = 0, 4*k - q - 424 = -k. Is k composite?
True
Let u(s) be the third derivative of s**6/6 - s**4/12 + s**3/6 + 14*s**2. Let q(p) = -p**3 + 3*p**2 + 3*p + 5. Let b be q(4). Is u(b) a prime number?
True
Is ((-26)/(-39))/((-4)/(-2634)) a composite number?
False
Let u(y) = -44*y**2 + 4*y + 1. Let i(h) = 89*h**2 - 7*h - 2. Let k(v) = 4*i(v) + 7*u(v). Let a(s) = s**2 + 6*s + 6. Let z be a(-5). Is k(z) prime?
True
Let t = -2 + 4. Let x = -474 - -809. Suppose 7*i - t*i = x. Is i composite?
False
Let c be ((-4)/(-3))/1*102. Suppose 4*w - 3*u - u - c = 0, 2*u = -6. Is w a prime number?
True
Suppose 2*d = 3*d + 3*v + 1, -11 = -3*d + 5*v. Is 13 + (4 + -2 - d) a composite number?
False
Let n(f) be the second derivative of 40*f**4/3 + f**2/2 - f. Suppose -4*j = -4, 4*b = -3*j + 2 + 5. Is n(b) a prime number?
False
Suppose u + 2 = -0*u. Is u + ((-266)/2)/(-1) composite?
False
Suppose 83 = b - 2*b. Let p = 4 - b. Is p prime?
False
Let n be (103/(-3))/((-2)/(-12)). Is (n/3)/((-6)/9) a composite number?
False
Suppose 0 = -5*b - 2*o + 551, -617 + 69 = -5*b - o. Is b a composite number?
False
Let n be -10*(3 - (-17)/(-5)). Is 2*n/8*55 a prime number?
False
Is (-135)/(-4) - 6/8 composite?
True
Let u = -1 + -3. Let y = -8 - u. Let g = y + 11. Is g composite?
False
Suppose 197 = -5*w + 592. Is w a prime number?
True
Let w(x) = 7*x**3 - 4*x**2 + 2*x + 4. Let j be w(3). Suppose 117 = 5*z - j. Is (11/4)/(2/z) prime?
False
Let k = -4 + 4. Let q(r) = -r + 7. Is q(k) composite?
False
Suppose 0 = -4*u - 4*v + 44, u - 27 = -4*v - v. Is u a composite number?
False
Let q(c) = -c - 1. Let f(p) = -1 - 3 + 28*p + 1. Let d(j) = f(j) - 4*q(j). Is d(2) prime?
False
Suppose 4*o = 8*o - 16, -4*o = 5*f + 14. Let w = f + 89. Is w composite?
False
Suppose 5*d - 45 = 5*y, d + 24 = 2*d + 4*y. Suppose 3*j = -0*j - d. Is (-2)/((-1)/((-46)/j)) composite?
False
Suppose 0*s = 5*s - 5*q - 14425, 0 = -s - q + 2889. Is s a composite number?
False
Suppose -2*s + 0*u + 20 = 5*u, -2*u + 8 = -4*s. Let w = s - -2. Suppose -c + 149 = 2*c + w*v, 5*c - 4*v - 285 = 0. Is c a prime number?
True
Suppose 3*v = -3*f + 21, -2*v + f = -4*f + 14. Let x = 3 - v. Suppose x = k + 6 - 65. Is k a composite number?
False
Let q = -2 + 5. Suppose 0 = q*b + 3*u - 39, -2*u = -4*b + 3*u + 34. Is b prime?
True
Suppose 2*n - 18420 = -10*n. Is n a composite number?
True
Let v = 8 + -6. Suppose v*a - 9 = -3. Is a a composite number?
False
Suppose -5*o = -2*a - 16, -3*o = -0*o + 3*a + 3. Suppose o*p + 2*y + 3*y = 323, -3*p = 4*y - 467. Is p composite?
False
Is 2 - (-447 + 1 + -1) prime?
True
Let l = 10 + -15. Suppose 5*x - 4*x - 11 = 0. Let c = l + x. Is c prime?
False
Is ((-1076)/(-12))/(3/9) - 2 composite?
True
Is (-2 - 2290/(-6)) + (-2)/3 prime?
True
Suppose 5*d - 5466 = -d. Is d a composite number?
False
Let i = -366 - -631. Is i a prime number?
False
Is (1/(2/5))/((-2)/(-844)) prime?
False
Let o be 8 + -2 + -1 + -1. Suppose 255 = o*j + j. Suppose -2*c - 1 + j = 0. Is c a prime number?
False
Let n(t) = 13*t**3 - 2*t - 1. Let r be n(-1). Let w be 2/1*(-18)/r. Is (-3 + 4)*w + 55 a prime number?
False
Let c be (-12)/4 + 7 - 0. Suppose -2*q = c*x - 118, 3*x + 65 + 19 = q. Is q a prime number?
False
Let v be (-5 - -1)/((-2)/(-10)). Let f be (v/(-6))/(-2)*3. Is (24/20)/((-2)/f) composite?
False
Let x(m) = -m**3 + 13*m**2 + 4*m - 11. Is x(-10) prime?
False
Let k = 1 - -1. Suppose 0 = 4*i - g + 3*g - 228, 0 = -k*g + 8. Is i a composite number?
True
Suppose -632 = 2*x - 10*x. Is x prime?
True
Is (16 - 15) + (-808 + 0)/(-1) a prime number?
True
Let d(b) = 10*b**2 + 9*b + 19. Is d(-10) a composite number?
False
Suppose 0 = 3*l - 5*s - 139, 224 = 4*l + s + 2*s. Is l a composite number?
False
Suppose 4128 = 4*j + 2*j. Is (-3)/(-1) + j/2 prime?
True
Suppose -19 + 184 = 3*m. Is m prime?
False
Suppose 4*b + 5 + 7 = 0. Let s be ((-1)/b)/((-2)/6). Is (-1 - s) + (96 - -1) a prime number?
True
Let h be 334*(-3 + (-14)/(-4)). Let g = h + -116. Is g composite?
True
Let n(h) be the third derivative of h**7/840 + h**6/30 + h**5/20 - h**4/12 + h**3/6 + 2*h**2. Let t(g) be the first derivative of n(g). Is t(-11) prime?
True
Let v(o) = o + 13. Let k be v(-9). Suppose 287 = k*q - 3*q. Is q a prime number?
False
Suppose -2 = 2*q - 8. Let d(f) = -2*f**2 - 10*f + f + q + 4*f**2 + 0*f**2. Is d(6) prime?
False
Suppose -13*w - 24903 = -22*w. Is w a composite number?
False
Let o(g) = 10*g**2 - 2*g - 1. Let v = -3 - -5. Let a be v + -1 + -5 + 3. Is o(a) prime?
True
Suppose 0 = h - 4*q - 22, h + 3*q - 8 = -0*h. Suppose 12 = p + 3*z - h, -z = 2*p - 47. Is p composite?
False
Suppose 4*s - 145 - 301 = -2*d, -235 = -2*s - 5*d. Suppose c + c = s. Is c composite?
True
Let h(n) be the first derivative of -n**5/20 + n**4/12 + n**3/6 + n**2 + 4*n - 4. Let a(r) be the first derivative of h(r). Is a(-3) prime?
False
Suppose 0 = a + 3*a - 20. Suppose -160 = -a*c + 5*b, 0*b - 63 = -2*c + b. Is c prime?
True
Suppose 0 = 2*w - 8, 4*a + 3*w + 2 = 38. Is 103/2*a/3 composite?
False
Let r be -2*6/4*-5. Suppose -4*v - 18 = -3*o + 2*o, 0 = -5*o - 2*v + 2. Suppose -15 = -o*y + r. Is y a composite number?
True
Let x(i) = 37*i. Let t be x(1). Let f = t + 32. Is f a composite number?
True
Let j be -219 - (2 - (2 - 0)). Let d = -143 - j. Let u = d - 41. Is u prime?
False
Suppose -w + 0*w = -6. Suppose -w*c + 2*c - 8 = 0. Is 2*((-27)/(-6) - c) a composite number?
False
Let d(w) = 6*w**2 + w - 1. Is d(-6) prime?
False
Suppose 4*p - 5*p + 6 = 0. Let l be 6/(-15) + p/(-10). Is (-1 + -12 + 0)/l a composite number?
False
Suppose 2*i = 3*y + 1612, 4*y = 3*y + 2. Is i composite?
False
Let x = 102 - -41. Is x a composite number?
True
Suppose -2*l - 12887 - 1236 = -3*q, -4*l = -20. Is q a prime number?
False
Let i be (28/5)/((-3)/(-15)). Let t(s) = 7*s + 1. Let d be t(4). Suppose i + d = 3*q. Is q prime?
True
Let x(b) = b**2 - 8*b + 6. Let r be x(6). Let z(w) = w**3 + 7*w**2 + 8*w + 6. Let i be z(r). Is i/4*1*-6 composite?
True
Let t(n) = 185*n + 10. Let y(i) = 2 + 0 + 29*i + 8*i. Let a(k) = 2*t(k) - 11*y(k). Is a(-3) a composite number?
False
Suppose -18 = -4*o - 2*g, -4*g = -4*o - 0 - 12. Let y = -5 + 10. Suppose y*x - o*x = 105. Is x a prime number?
False
Suppose 3*n - l = 1399, -n - l = -282 - 187. Suppose 4*h - 1471 = -n. Is h a composite number?
False
Let h be 0 + (-1 + 1)*-1. Let w(o) = -o**3 - o**2 - 1. Let r be w(h). Is (r - -2)*(1 - -30) a composite number?
False
Suppose 98*h - 1598 = 96*h. Is h a prime number?
False
Let k be ((-2)/(-3))/(1/3). Let h be (-1 - 0) + k + -1. Suppose h = -y - 2 + 6. Is y a composite number?
True
Let b = -3496 + 6170. Is 3/5 + b/35 a composite number?
True
Let m = -11 + 44. Is m composite?
True
Let p(o) = o**2 - 3*o + 5. Let c be p(6). Suppose -u = 2*y - 6*u + 14, 0 = -5*y - 2*u + c. Let g = 24 - y. Is g a prime number?
False
Let a(x) = 57*x + 8. Is a(11) composite?
True
Suppose i = -0*i + 3. Suppose -2*n - i = -33. Suppose 0*m - n = -m. Is m prime?
False
Let m = -1 - -4. Is m composite?
False
Suppose 5*i - 42 = 4*g, -g - 4*g - 15 = 0. Is i prime?
False
Suppose -i - 114 = -538. Suppose -6*r + r + 4*a + 704 = 0, 3*r - i = 2*a. Suppose 4*m - 70 = -n, -2*n - 2*m + r = 2*m. Is n composite?
True
Suppose -849 = 3*f + k, -k - k = 0. Let z = -20 - f. Let i = z + -100. Is i prime?
True
Suppose -7 = -16*v + 15*v. Let n(b) = -b**3 + 4*b**2 + 4*b + 6. Let h(w) = -w**3 + 3*w**2 + 4*w + 6. Let g(j) = -4*h(j) + 5*n(j). Is g(v) a composite number?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
r letters picked without replacement from lalatlljcltjn.
1/4290
Three letters picked without replacement from {d: 10, l: 5, p: 4}. Give prob of sequence ldl.
100/2907
What is prob of sequence jj when two letters picked without replacement from {i: 3, e: 1, j: 2, r: 4, s: 7}?
1/136
Two letters picked without replacement from tlcgajt. Give prob of sequence jg.
1/42
Three letters picked without replacement from {m: 4, y: 3, s: 5}. What is prob of sequence yys?
1/44
Two letters picked without replacement from {f: 1, i: 2, a: 1}. Give prob of sequence ai.
1/6
Three letters picked without replacement from {p: 4, l: 2, a: 6, n: 1, x: 2, g: 4}. What is prob of sequence pgx?
16/2907
What is prob of sequence srys when four letters picked without replacement from usrsqssyrs?
1/126
Calculate prob of sequence ng when two letters picked without replacement from {n: 12, g: 6}.
4/17
Calculate prob of sequence vvhv when four letters picked without replacement from hfihhvhhvvvvhvhvvvv.
35/646
Three letters picked without replacement from {s: 1, j: 4, u: 7, n: 6}. Give prob of sequence snu.
7/816
What is prob of sequence hs when two letters picked without replacement from hsmm?
1/12
Three letters picked without replacement from {q: 4, w: 2, u: 1, t: 6}. Give prob of sequence qqw.
2/143
What is prob of sequence xxn when three letters picked without replacement from {x: 2, n: 3}?
1/10
Calculate prob of sequence tmm when three letters picked without replacement from {m: 8, t: 2}.
7/45
Calculate prob of sequence qr when two letters picked without replacement from {t: 1, r: 1, f: 3, q: 7}.
7/132
Four letters picked without replacement from {t: 4, e: 1, i: 3}. What is prob of sequence ttii?
3/70
Two letters picked without replacement from {e: 2, w: 4, q: 8, k: 1}. Give prob of sequence qk.
4/105
Two letters picked without replacement from rrbkxfxfcfxfrfc. What is prob of sequence fc?
1/21
Calculate prob of sequence dmk when three letters picked without replacement from oopdokmmzzkokoo.
1/455
Two letters picked without replacement from ffofyfooof. Give prob of sequence of.
2/9
Four letters picked without replacement from eeeeeeeeee. What is prob of sequence eeee?
1
What is prob of sequence nnf when three letters picked without replacement from fjvqjhnfnnqnnnvn?
1/40
Three letters picked without replacement from {c: 1, p: 1, x: 1, e: 2}. Give prob of sequence xcp.
1/60
Calculate prob of sequence fdj when three letters picked without replacement from fjd.
1/6
Calculate prob of sequence jw when two letters picked without replacement from llwjjaip.
1/28
Calculate prob of sequence cypp when four letters picked without replacement from ypqic.
0
Calculate prob of sequence eqi when three letters picked without replacement from {e: 3, i: 13, q: 3, d: 1}.
13/760
Two letters picked without replacement from {n: 1, q: 2, u: 2, p: 2, c: 1}. Give prob of sequence nu.
1/28
Calculate prob of sequence or when two letters picked without replacement from {r: 1, j: 1, o: 2}.
1/6
Four letters picked without replacement from {g: 3, d: 5}. Give prob of sequence dddg.
3/28
Calculate prob of sequence xgi when three letters picked without replacement from {i: 1, g: 4, x: 2}.
4/105
Calculate prob of sequence nv when two letters picked without replacement from {n: 2, a: 3, o: 3, r: 3, v: 2}.
1/39
Four letters picked without replacement from jjjjjjjjjj. Give prob of sequence jjjj.
1
Four letters picked without replacement from rrrrr. Give prob of sequence rrrr.
1
Three letters picked without replacement from {p: 7, b: 3}. What is prob of sequence ppp?
7/24
Calculate prob of sequence qqz when three letters picked without replacement from {q: 3, z: 1}.
1/4
Calculate prob of sequence jx when two letters picked without replacement from {k: 9, j: 2, n: 8, x: 1}.
1/190
Two letters picked without replacement from {v: 2, y: 1, l: 1, f: 3}. What is prob of sequence yv?
1/21
Calculate prob of sequence wsq when three letters picked without replacement from sbnsndqw.
1/168
Two letters picked without replacement from {v: 4, t: 7}. What is prob of sequence tv?
14/55
What is prob of sequence ogg when three letters picked without replacement from {t: 1, o: 2, c: 1, g: 3}?
2/35
Two letters picked without replacement from zgbzzzbzg. What is prob of sequence bg?
1/18
Four letters picked without replacement from {o: 3, m: 7, z: 1, w: 3, j: 3, p: 1}. Give prob of sequence zjjm.
7/12240
What is prob of sequence uu when two letters picked without replacement from {o: 9, u: 7}?
7/40
Four letters picked without replacement from {b: 3, o: 4}. Give prob of sequence bboo.
3/35
Calculate prob of sequence niaa when four letters picked without replacement from iaaniian.
3/140
Two letters picked without replacement from {s: 1, d: 3, t: 1}. Give prob of sequence dd.
3/10
Three letters picked without replacement from {l: 2, m: 1, h: 1, u: 2, t: 1, s: 2}. Give prob of sequence tmu.
1/252
Calculate prob of sequence dq when two letters picked without replacement from dddddddqqddq.
9/44
What is prob of sequence rr when two letters picked without replacement from {b: 14, r: 5}?
10/171
What is prob of sequence kvhl when four letters picked without replacement from {k: 1, h: 2, l: 1, b: 1, v: 1, c: 1}?
1/420
Calculate prob of sequence zdzz when four letters picked without replacement from {d: 1, z: 11}.
1/12
Calculate prob of sequence bbl when three letters picked without replacement from ablallbaaballb.
5/182
Two letters picked without replacement from {g: 1, h: 2, p: 9, i: 2, s: 3, d: 1}. Give prob of sequence di.
1/153
What is prob of sequence ptpt when four letters picked without replacement from {n: 4, p: 3, t: 2}?
1/252
Calculate prob of sequence qt when two letters picked without replacement from {t: 1, c: 1, i: 4, u: 1, q: 2}.
1/36
Two letters picked without replacement from {g: 1, c: 1, k: 1, s: 1, m: 1}. Give prob of sequence sc.
1/20
Two letters picked without replacement from {f: 9, n: 4, g: 3}. Give prob of sequence gg.
1/40
Calculate prob of sequence vbv when three letters picked without replacement from baaaaaaaaabaaavwa.
0
Two letters picked without replacement from qllqlgl. What is prob of sequence qq?
1/21
Four letters picked without replacement from nnnnnnennnntnnnn. What is prob of sequence etee?
0
Two letters picked without replacement from qfhh. What is prob of sequence qf?
1/12
Calculate prob of sequence ijvi when four letters picked without replacement from {r: 1, i: 2, j: 3, v: 8, c: 1, w: 1}.
1/910
Two letters picked without replacement from dodoxxddxxddddx. Give prob of sequence dd.
4/15
Three letters picked without replacement from {o: 2, t: 1}. Give prob of sequence tto.
0
Three letters picked without replacement from thahuthaahathtttta. What is prob of sequence atu?
35/4896
What is prob of sequence kaaa when four letters picked without replacement from {a: 3, q: 1, k: 4, h: 5, f: 1}?
1/1001
Calculate prob of sequence mc when two letters picked without replacement from mccc.
1/4
Three letters picked without replacement from daaaualakuau. What is prob of sequence aal?
1/44
Two letters picked without replacement from wvewcwcwwevw. Give prob of sequence we.
1/11
What is prob of sequence iiii when four letters picked without replacement from {i: 10}?
1
Two letters picked without replacement from {g: 1, b: 1, l: 1, n: 3, t: 3, w: 2}. What is prob of sequence bl?
1/110
Calculate prob of sequence bzu when three letters picked without replacement from {u: 1, b: 1, z: 2}.
1/12
What is prob of sequence vvp when three letters picked without replacement from {q: 4, k: 1, v: 2, p: 1}?
1/168
What is prob of sequence yr when two letters picked without replacement from {h: 4, y: 5, r: 1, g: 1}?
1/22
Four letters picked without replacement from ookokoylorol. What is prob of sequence oyok?
1/198
Four letters picked without replacement from kppxllckpppp. Give prob of sequence cllx.
1/5940
Two letters picked without replacement from miimii. What is prob of sequence mm?
1/15
Three letters picked without replacement from {y: 5, j: 4, l: 1, c: 6}. What is prob of sequence clc?
1/112
What is prob of sequence wv when two letters picked without replacement from wssvsssswjssssxwwsww?
3/190
Calculate prob of sequence cu when two let
|
{
"pile_set_name": "DM Mathematics"
}
|
s be j(-12). Round s to the nearest one million.
25000000
Let n = -19 - -19.04. Let c = 0.0403 - n. Round c to three dps.
0
Let i be (-88)/(-3*3/900). Round i to the nearest 1000.
9000
Let q = -0.1731 - -0.162. What is q rounded to three dps?
-0.011
Suppose -4 = -2*f - 2. Let l be 0/(-7) + (f - 391). Let y be (l/8)/(6/(-16)). Round y to the nearest one hundred.
100
Let q = 0.11 + -4.11. Let o = 0 + q. Let v = o - -4.07. Round v to 1 dp.
0.1
Suppose -3*s - 61953 - 278450 = 4*i, -3*s + 170197 = -2*i. Round i to the nearest ten thousand.
-90000
Let m = 263.462 - 268.1. Let b = m - 0.062. Round b to 0 decimal places.
-5
Let y = -12 + 5. Let l = 5.3 + y. Let i = l - -1.7000035. Round i to six decimal places.
0.000004
Let i = 632.99719 + -633. What is i rounded to 4 decimal places?
-0.0028
Let d(t) = 8*t - 1. Let y be d(1). Suppose 3*l = y*l - 4. Let a be 12000/1*(-700)/l. What is a rounded to the nearest 1000000?
-8000000
Suppose -4*g = 5*w + 24, 0*g = -g + 4*w + 15. Let z be (-90)/((-1)/2*g). Let r = z + 540. What is r rounded to the nearest 100?
400
Let f = 46.5 - 16.3. Let j = f - 31.57. Round j to one dp.
-1.4
Let l = 0.276 - 0.662. Round l to two dps.
-0.39
Let m = -3 + 3. Suppose -n - 8 = -m*n. Let c(d) = 874999*d - 8. Let j be c(n). Round j to the nearest one million.
-7000000
Let k = -1576415.289943 + 1576414. Let t = -1.29 - k. What is t rounded to five dps?
-0.00006
Suppose 3*h = 5*t - 1251695, 5 = h - 2*h. Let x = t + -363336. Round x to the nearest ten thousand.
-110000
Let c(i) = 14383*i**2 + 31*i - 2. Let g be c(-11). Round g to the nearest 100000.
1700000
Let d(f) = -f**3 - 4*f**2 + 2. Let b be d(-4). Let u = b + 0. Suppose -x = 0, 3*s + u*s = -5*x + 125000. Round s to the nearest ten thousand.
30000
Let s = -0.1068529 - -0.0068531. Let t = 0.1 + s. Round t to 7 dps.
0.0000002
Let s = 2886 - 4051. Let u = s - -1945. Round u to the nearest 100.
800
Suppose -2*i + 15 = i. Let u = i - -48. Round u to the nearest 10.
50
Let w = -27.6 - -27.5999727. Round w to six decimal places.
-0.000027
Let j = 9 - -20. Let v = j + -29.000045. Round v to 5 dps.
-0.00005
Let p = -34 + 33.99991. Round p to 4 dps.
-0.0001
Let x(u) = 0*u - 6*u + 16 - u**2 - 6. Let f be x(-7). Suppose -3*v = 2*p - 4*p + 102006, 0 = 3*v - f*p + 102009. Round v to the nearest 10000.
-30000
Let v = 7 + -8. Let g = -1.00023 - v. Round g to four decimal places.
-0.0002
Let b(r) = r**2 - 11*r - 9. Let o be b(12). Suppose -p - 229562 = -v + 500435, -v = o. Round p to the nearest 100000.
-700000
Let h = 1 + -9. Let c(w) = 238*w**2 + 4*w. Let j be c(h). Round j to the nearest one thousand.
15000
Suppose 0*a + 2*a = -10, -5*r = 5*a + 3025. Round r to the nearest one hundred.
-600
Let n = 3.15 + -3.1. Let y = -1 + 0.98. Let g = n + y. Round g to 2 dps.
0.03
Let g be 1/(-5) - (-68)/(-10). Let k be 96*g/((-63)/(-243750)). Round k to the nearest one million.
-3000000
Let s = 7159 - 25659. Round s to the nearest one thousand.
-19000
Let p = 811601050 - 811601023.99999912. Let x = 26 - p. Round x to seven dps.
-0.0000009
Let g = 12.9852 - 13. Let i = 8 + -7.99. Let j = i + g. What is j rounded to 3 decimal places?
-0.005
Let u = 79 - 71.2. Let f = u - 5. Round f to 0 decimal places.
3
Let x = -372.7 + 394. What is x rounded to the nearest integer?
21
Let t = 2233.591 - 2215.59082. Let b = t + -18. Round b to four dps.
0.0002
Let b = -51 + 50.999. Round b to 2 dps.
0
Let b = -0.4 + 0.32. Let f = 7.08 + b. Let j = f - 4.6. What is j rounded to 0 decimal places?
2
Let w = 24.52 - 21.5. Round w to one dp.
3
Let w(i) = i + 13. Let y be w(-7). Let t be (y - (-1 + 0)) + -3. Suppose -t*s + 2 = 234. Round s to the nearest 10.
-60
Let o = -6 - -13. Let a = -138.82 + 131. Let g = o + a. What is g rounded to 1 decimal place?
-0.8
Let p(v) = 3*v - 3. Let i be p(4). Suppose -3*d - i = -6*d. Let s(f) = -511*f**2 + f - 4. Let m be s(d). Round m to the nearest 1000.
-5000
Let r = -0.06699859 - -0.067. Round r to 7 dps.
0.0000014
Let l = 10904875 - 4125608. Let i = l - 10259267. Round i to the nearest one hundred thousand.
-3500000
Let b be 4/(-1 - 0)*-2. Suppose 3*k - 4*k = -2024004. Let z be b/44 - k/22. What is z rounded to the nearest 10000?
-90000
Let u = -128237879 - -184237879. What is u rounded to the nearest one million?
56000000
Let c = 4.8 + -0.8. Let u = -8461145 + 8461141.0000055. Let n = u + c. What is n rounded to 6 dps?
0.000006
Suppose -u - 4*b = -8, 0*u = 5*u - b + 2. What is u rounded to the nearest one million?
0
Let n = -5 + 32. Let d = -27.00091 + n. What is d rounded to four decimal places?
-0.0009
Let l = -242.3 - -242.31999. Let m = -0.1 + 0.12. Let x = l - m. What is x rounded to 6 decimal places?
-0.00001
Let d = -2.3 + 2.300009. What is d rounded to 5 dps?
0.00001
Let a(k) = 3*k - 17. Let g be a(7). Suppose -4*b - g*c - 2440 = -0*b, 4*b + 2440 = -5*c. Round b to the nearest 100.
-600
Let s be ((-988)/12 + -1)*-48. Round s to the nearest 1000.
4000
Let a = 0.063999925 + -0.064. What is a rounded to 7 decimal places?
-0.0000001
Let g = 0.0532 + -0.3962. What is g rounded to two decimal places?
-0.34
Let q = 42 - 63. Let o = 20.9988 + q. What is o rounded to 4 decimal places?
-0.0012
Let c = 0 - -10. Let m = -17.3 + c. What is m rounded to the nearest integer?
-7
Let b = 69 - 71.14. What is b rounded to 1 dp?
-2.1
Let m = -11187940.70000021 - -11187941. Let r = m + -0.3. What is r rounded to seven dps?
-0.0000002
Let b = -262.99843 - -263. What is b rounded to 4 dps?
0.0016
Let q = -0.5 - -49.5. Let m = -1727.6 - -1678.732. Let p = m + q. Round p to 2 dps.
0.13
Let k(z) = -137*z + 145*z + 22443*z**2 + 138667*z**2 - 8. Let d be k(6). Round d to the nearest one million.
6000000
Let i = -7.1774 - -6.27749. Let u = 0.9 + i. What is u rounded to 4 decimal places?
0.0001
Let a = 21 + -125. Let k = a - -204. Let n = 100.0051 - k. Round n to 3 dps.
0.005
Let d = -48 + 56.5. Round d to the nearest integer.
9
Let j = 7 - 0. Let f = j + -6.975. Let h = 0.03 - f. What is h rounded to two decimal places?
0.01
Let y = 59393.982 + -59445. Let u = -0.018 - y. Let i = -50.999979 + u. Round i to five dps.
0.00002
Let m = 2.356 - 2.3. What is m rounded to two decimal places?
0.06
Let o = 5.9 + -6.5. Let i = -0.46856006 + -0.13143996. Let h = i - o. Round h to seven dps.
0
Let f = -392.3 - -407.30068. Let j = 15 - f. Round j to 4 decimal places.
-0.0007
Let j = 0.1 - 0.09. Let o = -867.39 + 862. Let k = o - j. What is k rounded to zero decimal places?
-5
Let m = 0.11 + -0.1004. Round m to three dps.
0.01
Let j = 993.6315 - 994. Let f = -15.6615 + j. Let s = -15.4 - f. What is s rounded to 1 decimal place?
0.6
Let w = 72.066 + -72. Let p = -0.04932243 - 0.01667704. Let u = p + w. What is u rounded to seven decimal places?
0.0000005
Let s = -18.8 - -18.721. What is s rounded to two dps?
-0.08
Let b(u) = -20314*u**2 - 13*u - 8. Suppose -2*v - 15 - 1 = 0. Let s be b(v). What is s rounded to the nearest one hundred thousand?
-1300000
Let u(o) = o**3 + 15*o**2 + 16*o + 8. Let t be u(-14). Let p be 3/(-12) - 26605/t. What is p rounded to the nearest one hundred?
1300
Let o = -85.99672 - -86. Round o to four dps.
0.0033
Let a be ((-2)/3)/(1/(-3)). Let g be (3/a)/((-3)/3400000). What is g rounded to the nearest 1000000?
-2000000
Let j(c) = -15*c**3 + c**2 - 3*c - 3. Let v be j(-2). Let h = v - -963. What is h rounded to the nearest 100?
1100
Let a = -796 - -795.8749. What is a rounded to two decimal places?
-0.13
Let z = 7.7 + -0.2. Let r = z + -1.7. Round r to zero decimal places.
6
Let c = 65.74803 + -65.82. Let z = c - -0.1134. Let k = 0.041 - z. What is k rounded to 4 dps?
-0.0004
Let u(c) = 843765*c + 2. Let f be u(-4). Let m = f + 6235038. Suppose -2*v - t - 2860020 = 3*t, -2*v + 4*t = m. Round v to the nearest 100000.
-1400000
Let k = 119426277.365011 + -119477987.365. Let j = k - -51708.3. Let x = j + 1.7. What is x rounded to 6 decimal places?
0.000011
Let l(p) = 2*p - 2. Let x be l(3). Suppose 0 = -x*s - 0*s. Suppose s = -3*w - k - 10499997, -w = -0*w + k + 3499997. Round w to the nearest 1000000.
-4000000
Let z = -671.461 + 668. Let a = -3.43 + -0.07. Let k = z - a. What is k rounded to two dps?
0.04
Let d = 1819659.46396 - 2524635.864046. Let b = d - -704977. Let q = -0.6 + b. Round q to five
|
{
"pile_set_name": "DM Mathematics"
}
|
1
Let n be -1*(-2)/(-6)*-3*13. Solve p = 3*w - 5, -5*p - 12 = w + n for w.
0
Let x be (1 - 3) + (14 - -3). Suppose -4*q = -0*a + 3*a - 9, 0 = 5*a - x. Suppose q - 6 = -2*u. Solve 2*n = o + 6, -u*o + 2*n - n = 3 for o.
0
Let q be (6/(-18))/((-2)/30). Solve -24 - 2 = 4*d + 3*t, q*d + 23 = t for d.
-5
Let j be 5 - (-9)/3 - -2. Let o = j - 6. Suppose -4*f - 2*t + 28 = 0, 24 - 3 = f + o*t. Solve -d + f*d + 25 = -3*z, -4*d - 28 = 4*z for d.
-4
Let p(i) = -i**2 - 14*i - 21. Let s be p(-12). Solve -s*q = 3*f + 3 + 3, 3*q + 7 = -2*f for f.
1
Let p(f) = -15*f**3 - 5 + 2*f + 4 - 3*f. Let d be p(-1). Solve -d = 5*v, 2*v + 6 + 2 = c for c.
2
Let w be (-2)/9 + (-1650)/(-135). Solve -d = 5*g - 22, 3*g + d - w = -0*d for g.
5
Let o(d) = d**3 + 6*d**2 + 5. Let n be 2 - 0 - 0 - 8. Let b be o(n). Solve b*y + 2 = h - 5, 0 = 3*h + 3*y - 3 for h.
2
Let j(k) = 5*k**2. Let z be j(-1). Solve -4*f = -3*d + 1, -3*f = -z*f - 8 for d.
-5
Suppose 0 = 5*d - 0*f - 3*f - 5, 3*d + 2*f - 22 = 0. Suppose i = -i - d*b - 2, 4*b + 23 = 5*i. Solve -4*z = -2*k - i*z - 3, k - 4*z + 19 = 0 for k.
1
Suppose 15*t - 16*t = -33. Solve -3*k + 5*u - 3 = 0, 5*k = -u + t - 10 for k.
4
Let u = 17 - 7. Suppose 5*r = 3*r + u. Solve -3*y + 1 + 9 = r*c, -15 = 2*y - c for y.
-5
Let r be (-131)/(-19) + 4/38. Solve -h = r*g - 4*g + 1, 7 = -g + 3*h for g.
-1
Suppose 4*i = y - 6 - 3, 0 = -4*y - i - 49. Let p = 15 + y. Solve 4*t = -3*z - p, 0 = -z - 4*t - 4 for z.
0
Suppose 44 = 21*b - 10*b. Solve -k - 1 + 2 = 4*j, -b*j + 3 = 3*k for k.
1
Suppose x = j - 2*x - 13, 3*x + 9 = -3*j. Let t = 5 - j. Solve -5*c - 5*g + 10 = -10, c - 3*g - t = 0 for c.
4
Let m = -66 - -101. Solve 3*l - l = 5*g + m, 10 = -2*g for l.
5
Suppose 2*t = -10, w + t + 1 = -1. Solve -w*x = -4*m + 1, -m + 7 = -x - 2*x for x.
-3
Let x be 2 - -2*(-4 - -3). Let k be x - (0 + 1) - -1. Solve k*g - 7 = g - s, -4 = 2*g + 3*s for g.
-5
Suppose -4*v + 0*v - 4 = -b, 5*b = 3*v + 3. Let x be -2*(2/(-2) - b). Let h = -63 + 65. Solve p = n + 6, -n = p + h*p - x for p.
2
Suppose 2 + 1 = d. Suppose -1 = f - d. Solve -5*y - 5 = -5*c, -4*y - f*c - c = -31 for y.
4
Suppose -2*h - 3*m + 0*m = -19, 4*m - 37 = -5*h. Suppose 5*y = -1 + 16. Solve -5*b + 5 = -h*l, 3*b - y*l + 4*l = -5 for b.
-1
Let l(w) = 11*w**2 + 2*w - 2. Let t be l(2). Let h be t/(-8) - (-3)/(-12). Let j be (-9)/3 - -2 - h. Solve 3*v + 3*q + 5 = -7, -4*v = j*q + 19 for v.
-1
Let u be (-2 + 1/2)*2. Let q = 6 + u. Let d be 31/11 - (-2)/11. Solve m - 5 = -5*a, -3*a - d*m + q = -m for a.
1
Suppose -j + 25 = -2*f - 2*f, 5*j + 3*f = 10. Solve d - j*q = -28, -4*d - 18 = -3*d - 3*q for d.
-3
Let p(h) = -h**2 - 8*h - 9. Let s be p(-6). Solve -s*z + 0*z + 12 = 3*x, -x = 3*z - 8 for x.
2
Suppose 2 = -5*c + 17. Let x = c + 3. Solve -2*q - q + x = 0, 4*n = -q - 18 for n.
-5
Suppose 4*f + 3*f = 0. Solve v + 7 - 24 = 4*n, f = -3*n - 9 for v.
5
Suppose 49 = 5*b - 5*p + 9, -4*p - 26 = -2*b. Solve 2*m + 4 = -6*v + b*v, 8 = -v - 4*m for v.
0
Let v be (-2 + -1)/(-1 + 0). Suppose 14 = -v*k + k. Let o(q) = -5*q - 3. Let g be o(k). Solve -18 = -l - 3*c, l = 5*l + 4*c - g for l.
3
Suppose 2*h + 2*h = 0. Suppose r = -h + 4. Solve -15 = 5*b + 2*j, -r*b - 9 - 3 = 2*j for b.
-3
Let m(q) = q**3 + 4*q**2 - 5*q + 2. Let a be m(-5). Let i = -3 - -3. Suppose 2*r + i*r = 0. Solve 6 = -a*g + j, r = -0*g - 5*g + 2*j - 16 for g.
-4
Let i(u) = -14*u**2 - 44*u + 47. Let l(m) = -5*m**2 - 15*m + 16. Let z(r) = -6*i(r) + 17*l(r). Let y be z(7). Solve 0*n - 1 = -n - v, y*n - 4*v + 20 = 0 for n.
-2
Suppose -2*d = 3*d - 35. Suppose -3*n = 5*c - 3, 0*c - 2*n + d = 5*c. Let s be ((-2)/(-6))/(c/9). Solve 3*v + g = -6, -g - 3 - s = v for v.
-1
Let w be (2 + 2 + -5)*(1 + -1). Solve -5*s - 3*v + 11 = -9, w = -s + 4*v + 4 for s.
4
Let u be 748/154 + 2/14. Solve 4*m + 2*z + 16 = 0, -u*m - 5*z - 17 = -2 for m.
-5
Let w(k) = -k**3 + 2*k**2 + 9*k - 16. Let b be w(3). Solve 3*h = 5*o - 16, o = -b*o + 2*h + 9 for o.
5
Let j(i) be the third derivative of i**4/24 + 2*i**3/3 - i**2. Let s be (-6)/(-4)*(-20)/(-10). Let v be j(s). Solve 3*o = z + 8*o + 17, 2*z + o = -v for z.
-2
Let v(d) = -d**2 - 10*d. Let f be v(-9). Solve t + f = -5*r, -3*t - r + 3*r - 10 = 0 for t.
-4
Let u(y) = -7*y - 9. Let w(o) = -11*o - 13. Let f(l) = -8*u(l) + 5*w(l). Let h be f(-3). Solve -2*k = 5*p + 7, -k + 24 = 2*k - h*p for k.
4
Suppose -2 + 11 = 3*c. Suppose -2*d = -y + 8, y - 6 + 14 = -2*d. Let n be 5 - 3 - (y - -1). Solve -n = 2*k - c*v, -3*k - 3*v = -0*k - 6 for k.
1
Let x be (-3)/(-18) - 95/(-6). Let l be x/10 + 10/25. Solve -2*o - 25 = -3*n, 3*o + 3 + 22 = l*n for n.
5
Suppose -3*a + 2 = 5*z + 15, -3*z = -3*a + 27. Solve 2*c = 2*j + 4, -c - 20 = 5*j + a*c for j.
-3
Suppose 15 = -5*r - 0*r - 5*j, -4*j = 3*r + 14. Solve 2*v - a = -5, -a - 2*a + 11 = -r*v for v.
-1
Let a be -4 + 63/15 + 2/(-10). Solve l - 3*y = -7 + 20, a = 4*l - 2*y - 12 for l.
1
Let z = -17 - -17. Suppose -2*c + z*a + 1 = -a, -2*a = -3*c. Solve -c*l + 5*u = -4 - 4, 4*l - u = 16 for l.
4
Let n = 11 - 8. Let w(r) = r**2 - 3*r + 4. Let c be w(n). Solve -c*i + 2*p - 28 = 0, 4*i - 3*p = -25 - 7 for i.
-5
Suppose 0*q - 2*q = -5*j + 29, 4*j = 4*q + 28. Let p(u) = -u**2 - 3*u + 1. Let o be p(q). Let g = 8 - o. Solve 0 = 4*r - 5*w - 4, g*r + 22 + 6 = -2*w for r.
-4
Let n be 6 + (0 - 0) - 0. Solve v - n*v = 2*i + 18, 3*v = -5*i - 7 for i.
1
Let j(c) be the second derivative of -c**4/12 + c**3/3 + c**2 - c. Let p be j(3). Let i be 1/(p - 8/(-6)). Solve 4*d - 32 = -4*r, -3*d + 2*d + i = 0 for r.
5
Let s(k) = -9*k + 7. Let v(y) = 3*y - 2. Let n(h) = 2*s(h) + 7*v(h). Let d be n(1). Solve -d*c + 9 = 0, 2*c + 1 = -4*b + 3 for b.
-1
Suppose -81*o = -84*o + 15. Solve q - 27 = -o*p, -2*p + 12 = 2*q - q for q.
2
Suppose -3*i - 3*y - 15 = -5*i, 4*i = -2*y + 6. Solve 0 = 5*v + j + 15, i*j - 8*j = 5*v + 15 for v.
-3
Suppose x + 4*x = -10. Let m be (-11)/((-11)/6) + x. Solve 3*p = 4*p + q - 1, -m*p + 5*q - 32 = 0 for p.
-3
Let k = -7 + 8. Let i be 5 + -1 - (k + -2). Let x be (-2 + -1)*2/(-3). Solve i*h + 4*y - 25 = 0, 2*y = x*h + h + 7 for h.
1
Suppose -c - 5*q = -8, -2 = -2*c - 3*q + 7. Solve -3*t = 4*y + 7, t = -0*t + c*y + 2 for t.
-1
Let h(u) = -3*u**3 - u**2 + u + 1. Let r be h(-1). Let n = -31 + 43. Suppose 3*v = p + n, -3 = v + 2*p - 7. Solve v*i + c + r = 6, 6 = i - c for i.
2
Let u be (-4)/20 - (-3)/(-15)*-1. Solve 0 = 4*f - f + 2*y - 23, -f + 3*y - 7 = u for f.
5
Let k be (3 - 5) + 6*1. Solve -h - r + 4 = k*h, 0 = 5*h + 5*r for h.
1
Suppose -60 = 2*r - 4*q, 4*r + q - 24 + 108 = 0. Let b = -12 - r. Solve 2*f - x = -6*x + 4, -2*f = -2*x + b for f.
-3
Let v(s) = -9*s + 6. Let x be v(-2). Let q be (2*4)/(2/4). Let y = x - q. Solve 5*k - 2*j = 2*k + y, k - j = 3 for k.
2
Let q be 1 - (4 - (-5)/(-1)). Solve 4*p - 1 = 4*x - 29, -q*x = -5*p - 23 for x.
4
Let w = -7 - -5. Let x = 18 + -24. Let v be (2/w)/(2/x). Solve -4*b = -2*b - h + 7, v*b + 3 = 4*h for b.
-5
Let z be ((-2)/6)/((-1)/3). Let j be (-3)/((z - 5)/4). Solve 15 = 4*p + 5*x, 5*x - 6 = 2*p + j*x for p.
0
Let f = -50 + 30. Let d = f - -24. Solve -2*c + d*c = 5*i + 16, -4*c = -i - 14 for c.
3
Let s be (38/(-6))/((-10)/30). Solve -4*x + 2*t - t + 11 = 0, -5*x = 4*t - s for x.
3
Suppose 5*g - 24 = 1. Suppose 3*n = 1 + g. Solve -3*d + n*j = -10, -4*d + 5*j - 2*j + 14 = 0 for d.
2
Suppose 2*w - 10 = 0, -31 = -4*q + q - 5*w. Solve 3*n + 11 = q*c + 2*c, 0 = -n - 2*c - 7 for n.
-5
Let l(d) = -d**3 - 7*d**2 + 7*d - 2. Let j be l(-8). Let p be j/15 + 54/15. Solve -5*q = p*s + 11, 1 = -0*s + s for q.
-3
Let d be ((-1)/(-2))/((-9)/(-18)). Let y be 3*((-8)/(-6))/1. Let w = -4 - -6. Solve u - d = 3*h, w - 4 = -y*h + 2*u for h.
-2
Let v be (-72)/(-39) + (-2)/(-13). Suppose 0 = n - v*d + 5, -5*n = -3*d - 0 - 3. Suppose -p = 2*p - n. Solve -4*h - p - 15 = 0, 0 = 3*r - 3*h - 3 for r.
-3
Suppose -g = -4*g + 6. Suppose -4*u + 5 = a, 0*a + 3*a - g*u - 1 = 0. Solve -4*n - y + 1 = 8, -3*y = n - a for n.
-2
Let g be -1*(-9)/(4 + -1). Let w(t) = t + 2. Let h be w(g). Solve 2*d + 9 = i, 3*i - h = 2*i for d.
-2
Suppose 0 = -l + 5*r - 11, -2 + 1 = -l - r. Let a be (2 - 1)/(l/(-2)). Suppose a*i - 9 = 3. Solve 3*b = -i, o = -b - 0*b - 3 for o.
-1
Suppose 6 = 5*w - 3*m + 1, -5*m + 25 = 0. Solve -21 = 4*l - l + 3*f, w*f = 5*l + 8 for l.
-4
Suppose 3*u + 5*b = -0 - 3, 0 = -u - 3*b - 5. Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 12. Let t be x(5). Let j(z) = z**3 - 2*z**2 - 5*z + 2. Let b be j(3). Is (t/42)/(b/(-42)) a composite number?
True
Suppose -9*c - p = -12*c + 1906, 3*p = c - 638. Is c prime?
False
Let c(j) = 2*j**3 + j**2 + 4*j - 3. Let d be c(2). Let p = d + -21. Suppose -p = -2*w, 3*w - 214 + 20 = -4*v. Is v a prime number?
True
Let p be 9616/7 - (-10)/35. Let d = p + -739. Is d a prime number?
False
Let r(h) = h**3 - 5*h**2 - 5. Let q be r(7). Suppose -4*o - 455 = -5*f - 22, -f = -4*o - q. Is (-4)/(0 + -1) + f a composite number?
False
Let h(g) = -g**3 + 6*g**2 + 3*g + 10. Let s be h(8). Let i = -39 - s. Is i a prime number?
False
Let n(z) = 855*z**2 + 11*z - 29. Is n(5) composite?
False
Let f = -15090 - -22951. Is f a prime number?
False
Is (3 - -4198)/(-2*(-2)/12) prime?
False
Is 35/(-175) + (-126918)/(-15) composite?
False
Suppose -u - 4329 = -c + u, 0 = -4*c + 2*u + 17340. Suppose 3*j = x + 2599, -3*j + 3*x = 2*j - c. Is j composite?
True
Let n = 3076 + -176. Let k = -2001 + n. Is k a prime number?
False
Let q(c) be the first derivative of 9*c**4/4 - 4*c**3/3 - 2*c - 4. Let s be q(3). Let i = s + -138. Is i prime?
True
Let s(o) = -o**3 - 5*o**2 - 3*o - 2. Let q be s(-3). Let d = q - -14. Suppose d*a = -3*j + 444, 0*a - 588 = -4*j - 2*a. Is j a composite number?
True
Suppose 0 = 28*q - 39*q + 3082189. Is q a prime number?
True
Let c = -25 + 28. Let d be -1 + c*8/6. Suppose -190 = -d*k + 443. Is k a prime number?
True
Is 84257 - 3 - (22 - 31) composite?
False
Let q be 4*4/8 + -10. Let m = 14 + q. Is (88/(-16))/((-1)/m) composite?
True
Suppose r - 9700 = -0*r. Let o = r + -6209. Is o a composite number?
False
Let m be -1 - (1 + 0 - 5). Is 382*m*(-2)/(-6) a prime number?
False
Suppose 66*x - 3*z = 71*x - 197765, 3*x - 3*z - 118659 = 0. Is x composite?
True
Let r = 158 + 506. Is 5/((-20)/r)*3/(-6) a prime number?
True
Let k be 642*(-6 - -7 - 1/3). Suppose -1058 = -2*v + k. Is v a composite number?
False
Let r = -44303 + 85350. Is r prime?
True
Let f(n) = 11934*n - 31. Is f(1) composite?
False
Let n = -419 + 829. Let d = 889 - n. Is d prime?
True
Let q(p) = 16*p**2 - p + 7. Suppose -2*h = 6 + 10. Is q(h) a composite number?
False
Suppose 14 = n + 6*n. Suppose 0 = -2*p + 4*y + 18, 26 = n*p + 4*y. Is p/(75/(-39) + 2) a prime number?
False
Let k(t) = 2*t**3 + 18*t**2 - 2. Let f be k(-9). Is (514/(-6))/(28/(-12) - f) prime?
True
Suppose 4*b = 8*b - 12508. Is b a composite number?
True
Let n = -35267 + 49548. Is n prime?
True
Let m(w) = w**2 - 3*w - 8. Let j be m(5). Suppose -3*i + 5*v + 4049 = 0, -j*i - 2*i + 2*v + 5380 = 0. Is i a composite number?
True
Suppose 4*x - 36 = -4*m, 0 = 5*x + 4*m - 13 - 30. Suppose -k + x*k - 1572 = 0. Is k composite?
True
Let d = 44 - 92. Let n = d - -130. Is n a prime number?
False
Let v = -1889 - -3148. Is v a prime number?
True
Suppose 2*o - 5*v = 8576, -3*v = o - 2*o + 4289. Is o composite?
False
Let o(c) = -11*c + 262*c**2 - 3*c - 259*c**2. Is o(11) composite?
True
Suppose -9898 - 9477 = -5*c. Let v = -1902 + c. Is v a prime number?
True
Let p = -4955 + 8324. Let w = p + -1732. Is w a prime number?
True
Suppose m = 5*q + 5*m - 142, m - 107 = -4*q. Suppose 3*x - 49 = q. Suppose y - 33 = x. Is y composite?
True
Let t(m) be the second derivative of 5*m**5/4 - m**4/4 - 4*m**3/3 + 9*m**2/2 + 8*m. Is t(5) prime?
True
Suppose -6 + 2 = -2*l. Suppose 0 = l*c + 24 - 214. Is c prime?
False
Let b = 25627 - 1310. Is b composite?
False
Let b be ((-8)/5)/((-32)/51120). Is 16/(-20) + b/20 a composite number?
False
Let b(w) = -1696*w + 19. Is b(-16) prime?
False
Suppose 6*r - 20 = 2*r. Suppose 3*t + 0*p - 1008 = -p, -r*p - 1363 = -4*t. Is t composite?
False
Let w = 42 - 28. Let p be (-4)/(-14) - (-258)/(-21). Let f = p + w. Is f a composite number?
False
Suppose 5*h + 5*l = 395, -3*h + 2*l = -7*h + 322. Suppose 4*s - 2*s - h = 0. Is s*((-1 - 1) + 9) a prime number?
False
Suppose 15 = 3*r + 87. Let a be (r/5)/((-15)/50). Suppose -11*l = -a*l + 1055. Is l composite?
False
Suppose -5*y + 0*b - b = -41, -5*b = 2*y + 2. Let u be -447*3/(y*-1). Suppose -2*p + 149 = -u. Is p a prime number?
True
Suppose -26 = 4*x - 5*b, 6 = -2*b - b. Let s(d) = 3*d**2 + 12*d - 3. Let c(t) = -7*t**2 - 25*t + 5. Let y(a) = -2*c(a) - 5*s(a). Is y(x) composite?
True
Let i(x) = 2*x**3 + 15*x**2 + 5*x + 15. Let r be i(-10). Let o = 930 + r. Is o a prime number?
False
Let t(u) be the first derivative of 5*u**3/3 - 5*u**2/2 - 2*u - 3. Let w be t(6). Suppose 9 - w = -f + 4*m, m = -5*f + 632. Is f a prime number?
True
Suppose -3*v = 3*v - 30. Suppose -4*l + 4*h + 415 = -3*l, v*l = -5*h + 2100. Is l composite?
False
Suppose -4*u - 2*n = 2*n - 24, 0 = 2*u - 2*n - 8. Suppose -3*m = u*p - 3017, 2*m - 3*p = 4*m - 2012. Is m prime?
True
Let u(w) = 2*w - 1. Let k(h) = 35*h - 12. Let j(l) = k(l) - 5*u(l). Is j(6) a prime number?
False
Suppose -39304 = -8*c - 7600. Is c a prime number?
False
Let x(v) = 288*v + 6. Let a be x(4). Suppose -3*m - 4*j = -2*m - 599, 2*m - 2*j = a. Is m a prime number?
False
Let x(t) = 5948*t**2 + 2*t + 3. Is x(1) a prime number?
True
Suppose -5*q + 19 = -21. Suppose 4*i - 12 = -3*r, 3*i - q = r + 1. Suppose -123 = -3*s + 4*w, -s + i*w = -3*s + 65. Is s composite?
False
Let w(o) = 1367*o**3 - o**2 + 3*o + 5. Let j be w(-2). Is (1/3 - 0)*(0 - j) a composite number?
True
Let i(s) = s + 11. Suppose q = -5*y + 17, -q + 0 + 2 = 2*y. Let c be i(q). Suppose -8*f = -c*f - 125. Is f composite?
True
Suppose 24 = 4*c - 0*j - j, -4*j = -4*c + 24. Let f(h) = 4*h + 1366. Let q(l) = 5*l + 1367. Let g(w) = c*f(w) - 5*q(w). Is g(0) a prime number?
True
Let m(j) = -j**3 - 3*j**2 + j + 6. Let x be m(-3). Let c = x - 1. Suppose -3*g - c*d + 929 - 384 = 0, 4*g - 738 = 3*d. Is g composite?
True
Let q(f) = 5*f + 2*f + f + f + 16. Let g be q(11). Suppose -3*i - 5*k + 126 = 0, k + 29 + g = 3*i. Is i a prime number?
True
Suppose -8*m - 4 = -10*m. Suppose u - 4*u = -4*v - 1443, m*v + 479 = u. Is u a composite number?
True
Let w be -2 + -8*(-2)/(-4). Is (-3)/(w*5/20) prime?
True
Let v(n) = 732*n**3 + 1. Let o(m) = -m**2 + 2*m + 36. Let h be o(7). Is v(h) a composite number?
False
Suppose -863 = -9*q + 2224. Suppose 7*l - 1312 = 3*l + 3*x, l + 3*x - q = 0. Is l prime?
True
Let d(r) = 16*r - 3. Let h be d(-4). Let y = h - -90. Is y a prime number?
True
Let j(x) = -877*x - 6. Let u(b) = -b - 13. Let o be u(-12). Is j(o) a prime number?
False
Suppose 7*z + 308 = 6*z. Let o = -214 - z. Is o prime?
False
Suppose f = -g + 12434, -4*g = -2*f + 33426 - 8528. Is f a composite number?
True
Let z = 973 + 222. Is z composite?
True
Let l(v) = -318*v - 253. Is l(-7) composite?
False
Suppose -6*i + 296889 = -i + 3*o, o = -2. Is i a prime number?
False
Suppose 169 + 1027 = 4*n - 2*s, -1501 = -5*n + 4*s. Let j(b) = b**3 + b**2 - 6*b + 2. Let h be j(4). Let d = n + h. Is d composite?
True
Suppose -534575 = -360*p + 355*p. Is p a prime number?
False
Let h be 63/24 + 9/24. Suppose 0*o - h*b = -4*o + 3541, 0 = -3*b + 15. Is o composite?
True
Let r(h) = 372 + h**2 + 0*h**3 - h**3 + 398 + h. Let n be r(0). Suppose -3*a + 10 - 25 = 0, 3*a = -5*i + n. Is i composite?
False
Suppose -3*v - 2*b + 2571 = -2099, -7775 = -5*v - 5*b. Let h = -869 + v. Is h prime?
True
Suppose t = 6416 + 191. Is t a composite number?
False
Suppose 46*o + 60774 = 67*o. Is o prime?
False
Let z = -48675 - -135626. Is z a composite number?
False
Let m(d) = 3*d - 19. Let r be m(7). Suppose 4*i - 2*s = -1 + 13, -2*i = -5*s + 2. Suppose 322 = i*v - 2*a - 36, 0 = -r*v - 5*a + 173. Is v prime?
True
Suppose 2*s + 3*u = -1, 2*s - 4*s = 4*u. Is s + 0 + 1/(3/639) a composite number?
False
Let z = -1102 + 2501. Is z a composite number?
False
Suppose -1094 = -4*j - 3*u + u, -4*j = 3*u - 1091. Let l = j - 112. Is l prime?
True
Let x(c) be the second derivative of 577*c**4/24 - c**3/2 + 9*c**2/2 + 3*c. Let y(h) be the first derivative of x(h). Is y(2) composite?
False
Suppose -4*k + 843609 = 5*d, -17*d + 168722 = -16*d + k. Is d prime?
False
Suppose 2*h = h + 5*d + 3359, -2*h + 6718 = -3*d. Is h composite?
False
Let f be 320 - (-3 + 3)/2. Let y = 556 - f. Suppose 0 = 5*z - y - 209. Is z prime?
True
Let t = 180 - 67. Let o = 150 - t. Is o a prime number?
True
Let m = 2087 + -1032. Is m a composite number?
True
Suppose -5*n - 5*y = -17945, -5*y - 1
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{
"pile_set_name": "DM Mathematics"
}
|
of 9147, 18253, 27359, 36465?
9106*l + 41
What is the j'th term of -225, -410, -555, -666, -749, -810?
-j**3 + 26*j**2 - 256*j + 6
What is the a'th term of 46842, 187365, 421570, 749457, 1171026, 1686277?
46841*a**2 + 1
What is the r'th term of 2960, 5108, 7256, 9404, 11552, 13700?
2148*r + 812
What is the i'th term of -10714, -42884, -96500, -171562, -268070, -386024, -525424?
-10723*i**2 - i + 10
What is the a'th term of 522, 463, 296, -33, -578?
-9*a**3 + 4*a + 527
What is the h'th term of 1462, 1452, 1442, 1432?
-10*h + 1472
What is the x'th term of -286, -352, -430, -514, -598, -676, -742, -790?
x**3 - 12*x**2 - 37*x - 238
What is the z'th term of -15059, -60224, -135501, -240890?
-15056*z**2 + 3*z - 6
What is the r'th term of 6860, 27448, 61758, 109790?
6861*r**2 + 5*r - 6
What is the n'th term of 1529, 1519, 1503, 1481, 1453, 1419, 1379?
-3*n**2 - n + 1533
What is the v'th term of 32, 142, 316, 554, 856, 1222, 1652?
32*v**2 + 14*v - 14
What is the h'th term of -302, -672, -1032, -1376, -1698, -1992, -2252?
h**3 - h**2 - 374*h + 72
What is the q'th term of -88, -217, -352, -493, -640?
-3*q**2 - 120*q + 35
What is the o'th term of -1372, -1389, -1436, -1519, -1644, -1817, -2044?
-o**3 - 9*o**2 + 17*o - 1379
What is the g'th term of 80, 150, 196, 206, 168, 70, -100, -354?
-2*g**3 + 84*g - 2
What is the y'th term of 2867, 5731, 8595, 11459, 14323?
2864*y + 3
What is the r'th term of -1048, -2160, -3286, -4432, -5604?
-r**3 - r**2 - 1102*r + 56
What is the m'th term of 186, 367, 542, 711, 874, 1031?
-3*m**2 + 190*m - 1
What is the d'th term of -179, -248, -415, -728, -1235?
-8*d**3 - d**2 - 10*d - 160
What is the g'th term of 12022, 12018, 12010, 11998?
-2*g**2 + 2*g + 12022
What is the b'th term of -927727, -1855449, -2783171, -3710893, -4638615?
-927722*b - 5
What is the z'th term of 109, 367, 811, 1453, 2305, 3379?
2*z**3 + 81*z**2 + z + 25
What is the d'th term of -465631, -465625, -465615, -465601, -465583?
2*d**2 - 465633
What is the u'th term of -5523, -5525, -5529, -5535, -5543, -5553, -5565?
-u**2 + u - 5523
What is the g'th term of 57859, 57864, 57869?
5*g + 57854
What is the b'th term of 1370, 927, 484, 41?
-443*b + 1813
What is the j'th term of 459, 854, 1251, 1650, 2051, 2454?
j**2 + 392*j + 66
What is the u'th term of -3821, -7584, -11347, -15110, -18873, -22636?
-3763*u - 58
What is the o'th term of -680, -1403, -2126?
-723*o + 43
What is the i'th term of -2060, -2591, -3120, -3647, -4172?
i**2 - 534*i - 1527
What is the j'th term of -6242, -12675, -19110, -25547, -31986?
-j**2 - 6430*j + 189
What is the w'th term of 2953, 11842, 26673, 47458, 74209, 106938?
2*w**3 + 2959*w**2 - 2*w - 6
What is the x'th term of 18, 104, 272, 522, 854, 1268?
41*x**2 - 37*x + 14
What is the k'th term of -9425, -37719, -84881, -150911, -235809, -339575, -462209?
-9434*k**2 + 8*k + 1
What is the r'th term of -2821, -11475, -25899, -46093, -72057?
-2885*r**2 + r + 63
What is the o'th term of -3, -32, -51, -54, -35, 12, 93, 214?
o**3 - o**2 - 33*o + 30
What is the i'th term of -17609, -17610, -17611, -17612?
-i - 17608
What is the p'th term of 575, 1094, 1625, 2174, 2747, 3350?
p**3 + 512*p + 62
What is the c'th term of -758, -540, -322, -104, 114?
218*c - 976
What is the l'th term of 108, 189, 244, 273?
-13*l**2 + 120*l + 1
What is the d'th term of -363, -705, -1001, -1227, -1359, -1373, -1245, -951?
4*d**3 - d**2 - 367*d + 1
What is the s'th term of -340, -2701, -9136, -21691, -42412, -73345?
-341*s**3 + 9*s**2 - s - 7
What is the r'th term of 63284, 63269, 63250, 63227?
-2*r**2 - 9*r + 63295
What is the w'th term of 2961, 11860, 26667, 47364, 73933, 106356?
-3*w**3 + 2972*w**2 + 4*w - 12
What is the h'th term of 827, 842, 845, 830, 791, 722, 617, 470?
-h**3 + 22*h + 806
What is the l'th term of -192397, -192389, -192381, -192373?
8*l - 192405
What is the b'th term of -16331, -32677, -49037, -65411, -81799?
-7*b**2 - 16325*b + 1
What is the o'th term of 14064, 14048, 14036, 14028, 14024, 14024, 14028?
2*o**2 - 22*o + 14084
What is the r'th term of -7029, -14165, -21299, -28431, -35561, -42689, -49815?
r**2 - 7139*r + 109
What is the u'th term of -230, -881, -1968, -3491, -5450, -7845, -10676?
-218*u**2 + 3*u - 15
What is the q'th term of -1214, -4837, -10874, -19325?
-1207*q**2 - 2*q - 5
What is the b'th term of 1307, 1298, 1285, 1268, 1247?
-2*b**2 - 3*b + 1312
What is the v'th term of -34, -34, -44, -64?
-5*v**2 + 15*v - 44
What is the h'th term of -777604, -3110435, -6998478, -12441727, -19440176, -27993819?
h**3 - 777612*h**2 - 2*h + 9
What is the u'th term of -7, 25, 175, 521, 1141, 2113, 3515, 5425?
13*u**3 - 19*u**2 - 2*u + 1
What is the s'th term of 11464, 22943, 34426, 45913, 57404?
2*s**2 + 11473*s - 11
What is the i'th term of 4691, 9355, 14019, 18683, 23347, 28011?
4664*i + 27
What is the b'th term of -134108, -268213, -402318?
-134105*b - 3
What is the y'th term of -706, -763, -822, -883?
-y**2 - 54*y - 651
What is the w'th term of -840, -892, -936, -972, -1000, -1020, -1032?
4*w**2 - 64*w - 780
What is the t'th term of -10554, -10559, -10564, -10569, -10574?
-5*t - 10549
What is the o'th term of -3131, -4062, -4983, -5888, -6771, -7626, -8447, -9228?
o**3 - o**2 - 935*o - 2196
What is the h'th term of 6409, 12867, 19325, 25783, 32241, 38699?
6458*h - 49
What is the p'th term of 8447, 33825, 76133, 135377, 211563, 304697, 414785?
p**3 + 8459*p**2 - 6*p - 7
What is the w'th term of -419, -842, -1271, -1706, -2147, -2594, -3047?
-3*w**2 - 414*w - 2
What is the j'th term of -69862, -139722, -209582, -279442, -349302?
-69860*j - 2
What is the k'th term of 14324, 14328, 14348, 14390, 14460?
k**3 + 2*k**2 - 9*k + 14330
What is the c'th term of 549, 1047, 1553, 2073, 2613, 3179?
c**3 - 2*c**2 + 497*c + 53
What is the l'th term of -13924, -14027, -14130?
-103*l - 13821
What is the j'th term of 465, 832, 1087, 1224, 1237, 1120, 867, 472?
-j**3 - 50*j**2 + 524*j - 8
What is the v'th term of -439, -1672, -3729, -6610, -10315, -14844?
-412*v**2 + 3*v - 30
What is the s'th term of 53208, 53195, 53182, 53169?
-13*s + 53221
What is the w'th term of 82, 109, 184, 331, 574, 937, 1444?
4*w**3 - w + 79
What is the j'th term of -262967, -262970, -262975, -262982, -262991, -263002, -263015?
-j**2 - 262966
What is the f'th term of -5832, -5871, -5980, -6195, -6552?
-6*f**3 + f**2 - 5827
What is the f'th term of 315, 998, 2099, 3618, 5555, 7910?
209*f**2 + 56*f + 50
What is the a'th term of -6822, -13620, -20416, -27210, -34002?
a**2 - 6801*a - 22
What is the j'th term of 629, 955, 1497, 2255, 3229?
108*j**2 + 2*j + 519
What is the c'th term of 412, 1703, 3860, 6883, 10772?
433*c**2 - 8*c - 13
What is the u'th term of 23826, 23813, 23798, 23781, 23762, 23741?
-u**2 - 10*u + 23837
What is the y'th term of -471, -510, -585, -702, -867, -1086, -1365?
-y**3 - 12*y**2 + 4*y - 462
What is the l'th term of 17, -93, -309, -625, -1035, -1533?
l**3 - 59*l**2 + 60*l + 15
What is the n'th term of -6949, -6900, -6851, -6802, -6753?
49*n - 6998
What is the r'th term of 34890, 69779, 104668?
34889*r + 1
What is the x'th term of -33, -105, -303, -693, -1341, -2313, -3675, -5493?
-11*x**3 + 3*x**2 - 4*x - 21
What is the w'th term of -28, -16, -6, 8, 32, 72, 134?
w**3 - 7*w**2 + 26*w - 48
What is the o'th term of -504, -822, -1140, -1458, -1776, -2094?
-318*o - 186
What is the p'th term of 1081, 1111, 1161, 1231, 1321, 1431, 1561?
10*p**2 + 1071
What is the v'th term of -4876, -8044, -11212?
-3168*v - 1708
What is the u'th term of -10, -212, -550, -1024, -1634?
-68*u**2 + 2*u + 56
What is the c'th term of -229, -443, -641, -823, -989?
8*c**2 - 238*c + 1
What is the f'th term of 166, 447, 918, 1579?
95*f**2 - 4*f + 75
What is the s'th term of -52, -63, -74, -79, -72, -47?
s**3 - 6*s**2 - 47
What is the z'th term of 51057, 51053, 51049, 51045, 51041, 51037?
-4*z + 51061
What is the j'th term of -16220, -32469, -48716, -64961?
j**2 - 16252*j + 31
What is the z'th term of -11409, -11413, -11421, -11433, -11449, -11469?
-2*z**2 + 2*z - 11409
What is the f'th term of -16425, -32671, -48903, -65115, -81301, -97455?
f**3 + f**2 - 16256*f - 171
What is the c'th term of 316986, 316985, 316984?
-c + 316987
What is the p'th term of -181, -324, -469, -616, -765, -916?
-p**2 - 140*p
|
{
"pile_set_name": "DM Mathematics"
}
|
ed by 62?
57
Let y = 60 - 29. Suppose -620*d - 58788 = -896*d. What is the remainder when d is divided by y?
27
Suppose 53*a + 6160 = 123*a. Calculate the remainder when 257 is divided by a.
81
What is the remainder when ((-258)/8)/((-2)/16) is divided by 30/(-17)*6290/(-555)?
18
Let t = 5827 + -5807. What is the remainder when 579 is divided by t?
19
Calculate the remainder when 4370 is divided by 36/(-42) + 27/63*3383.
23
Let x = -475 - -930. Let j = -4548 + 4551. Suppose j*b - x = -10*b. What is the remainder when b is divided by 9?
8
Let k be (-62 + -1)*((-14)/7 + 1). Let l = k - 16. Suppose 0 = -m - 6 + l. Calculate the remainder when m is divided by 23.
18
Let b be (-11 - -36)/5 - 3. Let q = -91 - -143. Suppose 59 = 3*j - b*i - 29, 2*j = -2*i + q. Calculate the remainder when j is divided by 10.
8
Let l be (-74)/26 - -3 - (-160)/(-26). Let s(t) = t**3 + 7*t**2 + 2*t + 5. Let f = 113 - -1. What is the remainder when f is divided by s(l)?
27
What is the remainder when 661 is divided by (-10 - 224/(-24))/(10/(-1995))?
129
Let i(c) = c + 10. Suppose 4*f = -4*w + 112, -5*f + 72 = 3*w - 6*f. Suppose -20*o + 15*o = w. What is the remainder when i(o) is divided by 3?
2
Let h = 24413 - 24342. Calculate the remainder when 2067 is divided by h.
8
Let o(t) = -t**3 - 9*t**2 - 13*t - 22. Let m be o(-9). Let a = -27 + m. Calculate the remainder when a is divided by 23.
22
Suppose 2*d - 278 + 258 = 0. Suppose 2*q - z - 43 = 0, 8*z - d*z - 2 = 0. Calculate the remainder when 72 is divided by q.
9
Suppose 0 = 424*m + 45*m - 866243. Calculate the remainder when m is divided by 18.
11
Suppose 34*i = -5*i - 166*i + 1025. Calculate the remainder when 69 is divided by i.
4
Let i(c) = -c + 4. What is the remainder when i(-4) is divided by (16 - 10)/(8*6/8)?
0
Suppose o - 4*o - 3 = 0. What is the remainder when 83 is divided by 78/65*(o - -16)?
11
Suppose n + 9 = -2*n, 3*n - 3 = -3*s. Suppose -2*d = 5*r - 16, -5*r = 5*d - s*d - 13. Calculate the remainder when (9/(-27))/(1/(-24)) is divided by r.
0
Suppose -y + 7 = -5*n, 0*n - 11 = -3*y + 5*n. Let k(r) = -4*r - 6 - 5*r**2 + 3*r**y - 8*r**2 - r**3 + r. What is the remainder when k(-10) is divided by 13?
11
Let q = 91 - -93. Let r = q - 123. Calculate the remainder when 365 is divided by r.
60
Let t = -190 - -296. Let c = t + -67. Calculate the remainder when c is divided by 11.
6
Let w = 4113 - 4074. Suppose 4*s = m + 14, 3*s - 11 = -m + 2*s. Calculate the remainder when w is divided by m.
3
Let q(x) = 10*x**2 + 6 + 11 + 8 + 5*x - 19. Calculate the remainder when q(-5) is divided by 78.
75
Suppose -33952 = -217*i + 334. What is the remainder when i is divided by 28?
18
Let v be 343/14 - 2/4. Let b be v/4*1/3. Suppose -2*z + 2 = 0, -b*i - 10 = -5*i - z. Calculate the remainder when 5 is divided by i.
2
Let q = -3 + 71. Let z(v) = v**3 - 4*v**2 - 4*v + 9. Suppose 3*j - 10 = -64*l + 62*l, -j = 0. Calculate the remainder when q is divided by z(l).
12
Suppose 2*p = 4*n - 62, -2*p - 2*n - 13 = 25. Let c = 200 + p. What is the remainder when c is divided by 20?
17
Suppose 23*u - 306 = 17*u. Suppose u + 133 = 4*o. What is the remainder when o is divided by 14?
4
Let w = 20 - -65. Suppose -12 = -v - 2*p - 49, -5*v + 3*p = 237. Calculate the remainder when w is divided by ((-35)/(-21))/((-3)/v).
10
Let y be (-117)/(-6)*(-1 + 20/12). Let w(g) = -g + 56. What is the remainder when 85 is divided by w(y)?
42
Let f(t) = -234*t + 5181. Calculate the remainder when f(22) is divided by 15.
3
Suppose 4*b = 9*b - 65. Let x be -2 - -5 - (2/2)/1. Calculate the remainder when (-5 - (-9 + x)) + 47/1 is divided by b.
10
What is the remainder when (5247/(-6)*48/(-72))/((-5)/(-5)) is divided by 115?
8
Let m(j) = -4*j**2 - 38*j + 128. Calculate the remainder when 1711 is divided by m(-12).
7
Let b(m) = -599*m - 1465. Calculate the remainder when b(-5) is divided by 128.
122
Suppose 23*t - 2016 = 17*t. Calculate the remainder when t is divided by 45.
21
Suppose 36*y - 1514 = -362. Suppose 0 = -8*r + 2*r + 162. What is the remainder when y is divided by r?
5
Let g(k) be the third derivative of k**5/60 - 5*k**4/8 + 22*k**3 - 158*k**2. What is the remainder when g(7) is divided by 16?
12
Suppose x = 6*d - 3*d + 1165, -2333 = -2*x + 5*d. Let u = -1161 + x. Let y(q) = -q**2 + q + 30. What is the remainder when y(0) is divided by u?
4
Let x(t) = t**3 + 6*t**2 + 5*t + 6. Let n be 12/21 + 2558/7 + -2. Let y = 397 - n. Calculate the remainder when y is divided by x(-5).
3
Let m(l) = 2*l**2 + 22*l + 81. Calculate the remainder when 210 is divided by m(-9).
30
Let w(n) = 10 + 7 - 41*n + 483*n**3 - 42*n**2 - 485*n**3. Calculate the remainder when 69 is divided by w(-20).
32
Let w(g) = 22*g**2 - 3*g + 3. Let o = -141 - -143. Calculate the remainder when w(2) is divided by ((-1 - -2)*58)/o.
27
Suppose 33 - 23 = -2*d. Let a(h) = 11*h**2 + 41*h + 13. What is the remainder when a(d) is divided by 7?
6
Let h(r) = 4*r + 18. Let c be (-7 + 6)*-1*5. Suppose c*z - 36 = 2*z. What is the remainder when h(z) is divided by 17?
15
Let y = -84993 - -85115. What is the remainder when y is divided by (7*-4)/((-4)/6)?
38
Let f(z) = 24*z**2. Let k be f(-1). Let i(v) be the third derivative of v**5/60 - v**4 + 35*v**3/6 - 259*v**2. What is the remainder when i(k) is divided by 4?
3
Let z be -2 + (-3 - 32/1). Let g = -77 - -53. Let b = g - z. Calculate the remainder when 25 is divided by b.
12
Suppose -12*x + 4*v + 10548 = -8*x, -2*v = -7*x + 18454. What is the remainder when x is divided by 12?
8
Let j(d) = -d**3 - 4*d**2 - 5*d - 10. Let u be j(-4). Suppose 0 = -3*l + q + 37, -14 = -l + 2*q - 0*q. What is the remainder when 138*(0 + 5/u) is divided by l?
9
Suppose -693 = -10*x + 3*x. Suppose -1 = 2*b + 5. What is the remainder when x is divided by (34/(-6))/(4/36*b)?
14
Let d(m) = -m + 8. Let w be d(11). Let v(h) = 5*h**2 + 4*h - 2. Let q = 83 + -22. Calculate the remainder when q is divided by v(w).
30
Let w(t) = 2*t**2 + 88*t - 673. Let g be 2/9 - (-660)/(-54). What is the remainder when w(7) is divided by g/(-54) - 266/(-18)?
11
Suppose -5*o + 49 = 4*w - 71, 3*o = -2*w + 72. Let q(n) = -n**3 - n**2 - n + 119. Calculate the remainder when q(0) is divided by o.
23
Let h = -5861 - -7236. Calculate the remainder when h is divided by 15.
10
Suppose 5*z + 0*z - 180 = 0. Let f = -301 - -409. Suppose -30*q = -z*q + f. Calculate the remainder when 83 is divided by q.
11
Suppose -3*f + 4*k = -8*f + 38776, -5*f = 3*k - 38782. Calculate the remainder when f is divided by 11.
5
Let s(h) = 6*h**2 - h - 1. Let j be (7 + -5)*(-2)/4. Let c = -619 + 639. What is the remainder when c is divided by s(j)?
2
Let q(k) = k**2 + 5*k + 10. Let f be q(-3). Suppose -51 = -x + o + 2*o, -f*o + 23 = x. Let b = x + 83. Calculate the remainder when b is divided by 25.
22
Suppose l - 5*l = 2*o - 1430, -5*o + 2*l + 3515 = 0. Let k be (-2)/(-3*10/o). Let s = k + 10. What is the remainder when s is divided by 30?
27
Suppose 571 = 42*a - 284 - 3429. Calculate the remainder when 430 is divided by a.
22
Let p(m) = -12*m - 42. Let a be p(-7). Calculate the remainder when 84 is divided by ((-24)/a)/(4/(-210)).
24
Calculate the remainder when 344 is divided by 155/62*((-6)/8 - 542/(-40)).
24
Suppose -12 = t - 2. What is the remainder when ((-23)/(-4))/((-264)/(-32) - 8) is divided by 2/10 + (-138)/t?
9
Let g = 1818 + -78. What is the remainder when g is divided by 76?
68
Let i = 12904 - 9749. Calculate the remainder when i is divided by 24.
11
Suppose -5*b + 5*v = -2225, -6*b = -2*b - 7*v - 1804. Calculate the remainder when b is divided by 68.
29
What is the remainder when (507/(-169)*(-2)/(-4))/((-3)/154) is divided by ((-56)/12)/(4/(-6))?
0
Suppose -5*k + 175 = 5*j, 474*j = -k + 477*j + 59. What is the remainder when 265 is divided by k?
19
Let q = 225 - 181. Suppose -117*k = -116*k - 5. Suppose -k*b - 5*b = -860. What is the remainder when b is divided by q?
42
Let o(b) = -9*b**2 - 69*b. Calculate the remainder when o(-6) is divided by 39.
12
Suppose -729 = -4*k + k. Let g = 1266 + -1205. What is the remainder when k is divided by g?
60
Let v(p) = -8*p - 31. Let i be v(-2). Let b = -1 - i. Calculate the remainder when 121 is divided by b.
9
Let w(c) = 11*c**2 - 82*c - 12. What is the remainder when 356 i
|
{
"pile_set_name": "DM Mathematics"
}
|
).
-14
Let i(u) = 11*u + 3. What is i(-2)?
-19
Let h(t) = -t**3 - 24*t**2 - 28*t - 115. What is h(-23)?
0
Let n(y) = 5*y**3 - 3*y**2 - y. Calculate n(-1).
-7
Let l(p) = p**2 + 10*p - 22. What is l(2)?
2
Let d(t) = 2*t - 32. What is d(-5)?
-42
Let d(f) = 3*f**3 - 2*f + 1. Give d(-1).
0
Let i(s) = -s**3 + 8*s**2 - 30*s + 109. What is i(6)?
1
Let u(l) = l**2 + 21*l - 51. Calculate u(-23).
-5
Let p(b) = -b**3 - 25*b**2 - 84*b + 14. What is p(-21)?
14
Let t(s) = s**2 - 4*s + 4. What is t(4)?
4
Let o(p) = -58*p**3 + 2*p**2 - p. What is o(1)?
-57
Let o(c) = 5*c + 22. Give o(-9).
-23
Let u(w) = 2*w + 12. What is u(0)?
12
Let l(d) = 63*d + 563. Determine l(-9).
-4
Let j(s) = -3*s - 37. What is j(-9)?
-10
Let k(y) = -y**3 + 2*y**2 - 2*y - 2. Give k(2).
-6
Let o(w) = -w**2 - 7*w - 10. Give o(-7).
-10
Let x(q) = -q**3 + 8*q**2 + 4*q - 29. Calculate x(8).
3
Let f(b) = -18*b + 114. Determine f(6).
6
Let w(k) = -3*k**2 + 2*k - 2. Determine w(4).
-42
Let x(v) = v**3 - 10*v**2 - 21*v - 21. Calculate x(12).
15
Let o(n) = n**2 - 34*n + 32. Determine o(33).
-1
Let d(o) = -o**3 - 5*o**2 + 4*o + 12. What is d(-5)?
-8
Let n(x) = -x**3 - x**2 + 35*x - 58. What is n(2)?
0
Let h(y) = -6*y + 1. What is h(-2)?
13
Let p(x) = -x**3 - 16*x**2 - 26*x - 8. Calculate p(-14).
-36
Let v(p) = 3*p + 4. What is v(-3)?
-5
Let s(w) = 8*w**2 - 20*w - 19. What is s(-1)?
9
Let v(t) = 38*t + 51. Calculate v(-1).
13
Let m(c) = c**3 + 19*c**2 - 43*c - 23. Calculate m(-21).
-2
Let c(m) = -m + 47. Calculate c(27).
20
Let s(v) = v**3 - 4*v**2 - 11*v + 23. What is s(5)?
-7
Let w(q) = -q**2 - 5*q. Give w(-6).
-6
Let i(g) = -5*g - 23. Determine i(0).
-23
Let r(v) = -v**3 - 13*v**2 + 3*v + 37. What is r(-13)?
-2
Let h(j) = j**2 + j + 20. Give h(0).
20
Let s(g) = g**3 + 15*g**2 - 37*g - 51. Calculate s(-17).
0
Let y(h) = 4*h**2 + 18*h - 3. Determine y(-5).
7
Let g(d) = d**3 + 23*d**2 - 14. Determine g(-23).
-14
Let d(x) = 7*x**2 + x + 1. Give d(-1).
7
Let x(g) = 4*g**2 + 6*g - 9. Calculate x(4).
79
Let o(z) = -z**3 - 12*z**2 + 15*z + 30. Determine o(-13).
4
Let p(a) = -22*a - 4. Determine p(-1).
18
Let d(z) = 70*z - 411. Give d(6).
9
Let r(m) = 5*m**2 + m + 4. Calculate r(-2).
22
Let j(h) = h**3 + 6*h**2 + 10*h + 2. Determine j(-5).
-23
Let v(n) = -n**2 - 6*n - 4. Give v(-4).
4
Let l(f) = f**3 + 54*f**2 - 52*f + 153. Calculate l(-55).
-12
Let x(n) = 6*n**2 + n - 1. Determine x(-4).
91
Let i(a) = 23*a + 244. Give i(-11).
-9
Let n(g) = g + 6. Give n(-33).
-27
Let u(w) = -10*w + 47. Determine u(6).
-13
Let v(w) = -w**2 - w + 11. Determine v(-4).
-1
Let l(i) = -4*i - 1. Give l(-7).
27
Let w(s) = 4*s - 1. What is w(-3)?
-13
Let p(x) = -3*x**2 + 48*x + 6. Give p(16).
6
Let x(g) = 6*g**2. What is x(-1)?
6
Let w(p) = p**2 - 23*p - 50. Give w(25).
0
Let h(d) = 8*d**2 - 59*d - 1. Determine h(7).
-22
Let z(q) = q**3 - q**2 - 5*q + 16. Calculate z(0).
16
Let c(x) = 5*x**3 + 3*x**2 + 3*x + 1. Calculate c(-2).
-33
Let f(n) = -4*n + 177. Determine f(31).
53
Let u(g) = -2*g**3 + g**2 + 3*g + 1. Give u(-2).
15
Let d(q) = 7*q**2 + 5*q + 1. Calculate d(1).
13
Let i(m) = -3*m**3 + 2*m**2 + 6*m - 2. What is i(-2)?
18
Let s(m) = -m**2 + 15*m - 75. Determine s(10).
-25
Let b(c) = c**3 - 18*c**2 + 30*c + 14. Determine b(16).
-18
Let w(x) = -3*x**2 - 3*x - 4. Determine w(-1).
-4
Let h(x) = -x**2 - 4*x + 4. Calculate h(2).
-8
Let i(m) = 19*m - 32. Give i(2).
6
Let r(u) = -u**3 - 5*u**2 - 4*u - 5. Give r(-4).
-5
Let i(g) = g**3 - 6*g**2 - 7*g + 10. Calculate i(7).
10
Let v(a) = -a**2 + 11*a + 7. Determine v(12).
-5
Let h(t) = -74*t. Calculate h(1).
-74
Let w(m) = m + 17. What is w(-10)?
7
Let s(w) = 4*w + 2. Determine s(-4).
-14
Let h(x) = -x**3 - 6*x**2 + 10*x + 9. Determine h(-7).
-12
Let b(k) = 3*k + 124. What is b(-33)?
25
Let j(r) = -r - 48. Determine j(0).
-48
Let s(x) = -9*x + 6. Give s(5).
-39
Let u(d) = 9*d - 2. Calculate u(1).
7
Let m(k) = -k**3 + 14*k**2 - 24*k + 9. Give m(12).
9
Let t(u) = -u - 4. Give t(13).
-17
Let v(f) = 16*f**2 + 3*f - 2. Determine v(1).
17
Let u(d) = -d**2 + 31*d - 145. Give u(25).
5
Let z(q) = -2*q**2 + 10*q + 5. What is z(5)?
5
Let s(g) = -g**3 - 2*g**2 - g - 26. Give s(0).
-26
Let p(z) = -z**3 + 3*z**2 + 3*z + 4. Give p(5).
-31
Let q(l) = 2*l**2 + 5*l - 5. Give q(-3).
-2
Let u(w) = -4*w**3 + w**2 - 2*w + 10. Give u(0).
10
Let o(x) = 2*x**2 - 19*x - 21. What is o(10)?
-11
Let t(m) = 11*m**2 - 4*m + 2. Determine t(3).
89
Let r(y) = y - 41. Calculate r(38).
-3
Let s(p) = p**3 - p**2 - 15*p + 12. What is s(-6)?
-150
Let n(d) = -d**3 + 5*d**2 - 8*d + 13. What is n(3)?
7
Let w(j) = 33*j + 97. Give w(-4).
-35
Let j(d) = -d + 6. Determine j(-12).
18
Let g(k) = k**2 + 9*k + 17. Give g(-6).
-1
Let p(c) = c**3 + 7*c**2 - 23*c + 48. Give p(-10).
-22
Let v(r) = r**2 - 4*r - 6. Give v(4).
-6
Let o(y) = y**3 + 20*y**2 + 22*y + 66. What is o(-19)?
9
Let d(o) = o**2 - 7*o - 5. Determine d(-2).
13
Let h(u) = -2*u + 15. What is h(6)?
3
Let r(j) = -3*j - 25. Calculate r(-13).
14
Let w(p) = p**3 + 16*p**2 + p + 17. Determine w(-16).
1
Let s(h) = h**2 + 15*h - 99. What is s(-20)?
1
Let g(t) = -t**3 - 9*t**2 + 8*t - 15. Give g(-10).
5
Let r(k) = 28*k - 33. What is r(6)?
135
Let t(u) = u**2 - 12*u + 20. What is t(11)?
9
Let k(l) = -l**3 + 14*l**2 - 23*l + 3. Give k(12).
15
Let k(y) = y**3 - 6*y**2 - 12*y + 33. Calculate k(7).
-2
Let p(n) = -11*n. Give p(-4).
44
Let i(y) = -17*y**2 + 2*y + 1. Give i(-1).
-18
Let m(q) = 2*q**2 - 19*q - 17. Give m(10).
-7
Let w(g) = g**3 - 15*g**2 + 26*g + 1. What is w(13)?
1
Let z(g) = 28*g - 1823. What is z(65)?
-3
Let j(n) = n**2 - 15*n + 54. What is j(9)?
0
Let n(w) = -2*w**3 - 2*w**2 - 4*w - 3. Give n(-2).
13
Let t(c) = c**3 - 7*c**2 + c + 3. Calculate t(7).
10
Let t(a) = a**2 + 7*a - 13. Determine t(-9).
5
Let h(a) = -a**2 + 5*a + 41. Give h(-5).
-9
Let l(i) = -3*i**2 + 3. Calculate l(-2).
-9
Let o(k) = 5*k**2 - 2. Give o(2).
18
Let n(s) = 2*s**3 + 113*s**2 - 56*s + 63. Determine n(-57).
6
Let w(v) = -v**3 - 2*v**2 + 7*v + 7. What is w(-3)?
-5
Let q(x) = 12*x - 135. What is q(11)?
-3
Let b(j) = j**2 - 11*j + 15. What is b(7)?
-13
Let c(j) = j**3 - 26*j**2 - 272*j + 17. Give c(34).
17
Let r(u) = -u**3 + 10*u**2 - u + 2. Give r(10).
-8
Let j(z) = 4*z**2 - 7*z - 3. What is j(-1)?
8
Let g(t) = t**3 + 5*t**2 + 2*t - 3. What is g(-4)?
5
Let i(a) = 9*a**3 - 2*a**2 + a. Calculate i(1).
8
Let j(y) = y**3 + 4*y**2 + 4*y - 3. What is j(-5)?
-48
Let g(t) = t**3 + 8*t**2 + 12*t - 9. Give g(-6).
-9
Let d(x) = 2*x + 21. Give d(7).
35
Let o(q) = q**3 - 11*q**2 + 7*q + 6. What is o(10)?
-24
Let u(x) = 5*x + 107. Calculate u(-24).
-13
Let w(i) = 102*i - 714. Give w(7).
0
Let s(f) = f**2 - 17*f + 37. Give s(18).
55
Let v(b) = 4*b**2 + 5*b - 14. Determine v(2).
12
Let p(z) = 26*z - 8. Determine p(4).
96
Let f(b) = -b**2 - 7*b - 11. Calculate f(0).
-11
Let p(h) = -2*h + 10. Determine p(-4).
18
Let b(s) = -s**2 + 11*s - 23. Determine b(12).
-35
Let b(m) = -m**2 - 23*m + 61. Calculate b(-25).
11
Let c(d) = -d**2 + 4*d + 6. Determine c(4).
6
Let d(t) = 14*t - 8. What is d(-4)?
-64
Let n(b) = b**2 + 20. What is n(-9)?
101
Let w(m) = -m**2 + 31*m + 1. What is w(0)?
1
Let q(w) = -8*w - 6. Give q(6).
-54
Let q(s) = -s**3 + 14*s**2 + 14*s + 6. Give q(15).
-9
Let z(s) = -s - 31. Give z(-22).
-9
Let g(f) = f**3 - 20*f**2 + 4*f + 7. Give g(20).
87
Let r(p) = -p**3 + 3*p**2 - 5*p + 1. What is r(4)?
-35
Let y(x) = -x**3 - 5*x**2 - 5*x - 6. Determine y(-4).
-2
Let l(j) = -j + 11. Calculate l(-7).
18
Let x(i) = i**3 + 3*i**2 - 2*i - 2. Determine x(-5).
-42
Let d(l) = -3*l**2 - 36*l - 10. What is d(-12)?
-10
Let z(j) = 82*j**3 + j**2 + j + 1. Determine z(-1).
-81
Let n(l) = -l**2 - 3*l + 1. Give n(-5).
-9
Let r(u) = -u**2 - 2*u - 6. Determine r(4).
-30
Let z(j) = -j**3 + j**2 - 3. Give z(3).
-21
Let w(t) = -t**3 + 13*t**2 + 6. Calculate w(13).
6
Let t(a) = 51*a + 418. Determine t(-8).
10
Let o(m) = -2*m**2 + 5*m - 4. Calculate o(3).
-7
Let f(y) = -y**3 - 4*y**2 - 4*y - 1. Give f(-4).
15
Let w(g) = 3*g - 8. Give w(6).
10
Let b(v) = v**3 - 12*v**2 - v + 10. Give b(12).
-2
Let z(y) = -22*y + 88. Determine z(5).
-22
Let z(s) = -18*s - 77. Give z(-4).
-5
Let h(l) = l**3 - l**2 - 14*l + 28. What is h(2)?
4
Let t(j) = -j**3 + 7*j**2 + j + 18. What is t(8)?
-38
Let f(x) = 10*x**3 - 2*x**2 + 6*x - 5. Calculate f(1)
|
{
"pile_set_name": "DM Mathematics"
}
|
a) -18 (b) 12/13 (c) -11/3 (d) 154
b
Which is the second smallest value? (a) -0.23 (b) 253/6 (c) -0.259 (d) -0.3 (e) -3/7
d
What is the second biggest value in -13/136, -0.5, 0.4, 6, 1244?
6
Which is the third smallest value? (a) 5/6 (b) -1 (c) -0.16 (d) -0.4 (e) -33/16 (f) -13
b
Which is the fourth smallest value? (a) 16/55 (b) 2/9 (c) -1 (d) 2 (e) -1/2 (f) 4 (g) 1/15
b
Which is the fifth biggest value? (a) -2361 (b) -0.1095 (c) 1/3 (d) -5 (e) -1/2
a
What is the biggest value in 1, -6, -2/7, 3/10, 5/3, -24/19, -76?
5/3
Which is the fifth biggest value? (a) -3 (b) 8 (c) -5/9 (d) -2/3 (e) -216 (f) 0.2
a
Which is the fifth smallest value? (a) -5 (b) -2 (c) 3/11 (d) -232 (e) 3 (f) -3 (g) 6
c
What is the second biggest value in -1606.6, 18.2, -0.2?
-0.2
Which is the second smallest value? (a) 4/7 (b) -0.078 (c) -30 (d) 4/9 (e) -0.9 (f) -0.08
e
Which is the fifth smallest value? (a) 0 (b) 247 (c) -2/7 (d) -1.34 (e) 5 (f) -0.09
e
What is the third biggest value in -93, -2/9, -4, 0.4, 0, 2/17, -1259?
0
What is the second smallest value in 118, 0, 19, 1, -1/23, -1?
-1/23
Which is the third smallest value? (a) -0.2 (b) 1/3 (c) 1167 (d) 1107 (e) 5
e
What is the fifth smallest value in -4, -0.87, 2/3, -0.1, 0.2, 42?
2/3
What is the fifth smallest value in 5, -2, 38, -2/183, -34/7?
38
Which is the second smallest value? (a) -5 (b) -1/5 (c) 4178911 (d) 3
b
Which is the smallest value? (a) 0.5594993 (b) 2/13 (c) -3/2
c
Which is the smallest value? (a) 2/7 (b) 0.0337 (c) -86.625
c
Which is the second smallest value? (a) 3/13 (b) -1 (c) -0.17 (d) 161 (e) -2/15 (f) -5 (g) 0.1
b
What is the biggest value in -0.4, 3, 4, -6, -4, 32, 2.8?
32
Which is the biggest value? (a) 4 (b) -0.4 (c) 11879/62
c
What is the third smallest value in 3, -31467.1, 1/30?
3
Which is the sixth smallest value? (a) -4/3 (b) 0.4 (c) 0.3 (d) -1/7732 (e) -5/143 (f) 4
f
What is the smallest value in 0.1, 401, -6, 3, -58, 17?
-58
What is the seventh smallest value in 0.21, 2/11, -2/7, 5, 1, -0.14087, -4?
5
Which is the fourth smallest value? (a) -5 (b) 10 (c) 0.05 (d) -1 (e) 513
b
What is the third biggest value in 17.2, -1/5, 60, -0.4, 53.3, -0.1?
17.2
What is the fourth biggest value in -89/5, 4.93, -19/3, 0?
-89/5
What is the smallest value in 4, 0.2596, -11, 0.5, 79?
-11
What is the fourth smallest value in 0.1, 3, -0.247, 0.075, -5, 17?
0.1
What is the biggest value in 2, 3, 16, 53, -2.9, -31, 6?
53
What is the second smallest value in 1/2, 1/7, 483, 414, 0, 0.4?
1/7
What is the sixth biggest value in -0.01, 39, 2/15, 0.191, -1, 2, -3/7?
-3/7
Which is the biggest value? (a) 24/11 (b) 42 (c) 2 (d) -3/7 (e) 2.1
b
Which is the second biggest value? (a) -4513 (b) 0.8 (c) -1/3 (d) 0.2
d
Which is the second biggest value? (a) 12.07 (b) 4 (c) 626
a
What is the second biggest value in -1139.6, 3, -57?
-57
Which is the smallest value? (a) 5 (b) 12/11 (c) 12.4762 (d) -5
d
Which is the fifth biggest value? (a) 0.02 (b) 2 (c) 5 (d) 0.88 (e) 4 (f) -0.38
a
Which is the fifth biggest value? (a) 74 (b) 0 (c) -109 (d) -4 (e) -852
e
Which is the third biggest value? (a) 2 (b) 4 (c) 146759234
a
Which is the fourth smallest value? (a) 0.6 (b) -22 (c) 7 (d) 4/3
c
What is the third biggest value in 1/2, 1/4, 4/427, -0.1, -1525/7?
4/427
Which is the third smallest value? (a) 1 (b) -2/3 (c) 2/535 (d) -1/3 (e) 2 (f) -4/3 (g) -2
b
What is the second smallest value in -23, -11, -72054?
-23
Which is the third biggest value? (a) 73/81 (b) -0.8 (c) -3/22 (d) 3
c
What is the seventh smallest value in -20, -0.2, 5, 3/2, -15, 1/15, 0.3?
5
What is the biggest value in 5, 1208.86, 185?
1208.86
What is the second biggest value in 5, -9, -4/7, -4, 231?
5
Which is the fourth smallest value? (a) -0.5 (b) 0.2 (c) -5 (d) -31/11 (e) -6/31 (f) 29 (g) 1
e
What is the fourth smallest value in 26366.2, -116, 2/9, -2/7, -2?
2/9
What is the third smallest value in 0.2, 422907, 1, -1?
1
Which is the fourth biggest value? (a) -1 (b) -2/13 (c) 570 (d) 4 (e) -3 (f) 23
b
Which is the sixth biggest value? (a) -3/7 (b) -6/103 (c) 21 (d) 2/13 (e) 3/7 (f) 7
a
What is the smallest value in 0.5, 58, 1, 79, 1/3, 0, 7.9?
0
Which is the third biggest value? (a) 541 (b) 0.04 (c) -131 (d) 0.1
b
What is the biggest value in 0.8, -1, 11/3, 47.8?
47.8
What is the sixth smallest value in 0.2, 3/7, 1.1512, -0.32, -2/5, 2/3, -0.07?
2/3
Which is the fourth smallest value? (a) -0.4 (b) -4/7 (c) 3/9595 (d) -17
c
Which is the third smallest value? (a) -0.71 (b) 1/5 (c) -0.149 (d) -1/2
c
Which is the fourth biggest value? (a) 3/8 (b) 0.2 (c) -2/21 (d) 0.5 (e) -1 (f) -6.35176 (g) 2
b
Which is the third smallest value? (a) 2/13 (b) 0 (c) 4 (d) -18 (e) -4 (f) 5 (g) -4.872
e
What is the second smallest value in -2, -1/5, 3/19, 2/7, -51, -16?
-16
Which is the third smallest value? (a) -16.0432 (b) -2 (c) 1888
c
Which is the fifth smallest value? (a) 1/2 (b) 3/2789 (c) 5 (d) -2/7 (e) -1503
c
Which is the biggest value? (a) 25394 (b) 0.03 (c) 62
a
Which is the third smallest value? (a) -1/3 (b) -3 (c) 64568 (d) 0.5 (e) 2/7 (f) 11
e
What is the third smallest value in -3, 7, 1693, -0.1, -1, -5, 0.5?
-1
Which is the fourth smallest value? (a) -29 (b) -3/2 (c) -8727 (d) -7
b
Which is the third biggest value? (a) 2/5 (b) 1/339 (c) -15.61
c
Which is the second smallest value? (a) 0.1 (b) 2 (c) -0.02 (d) -0.5 (e) -299 (f) -1/3
d
What is the smallest value in -2.728485, -7, 0.05?
-7
Which is the fourth biggest value? (a) -1 (b) -172 (c) -0.5 (d) 0.3 (e) -3/191 (f) -1/11 (g) 0
f
Which is the fourth smallest value? (a) 3/2 (b) 4 (c) 186 (d) 14 (e) -0.3 (f) 3/20
b
Which is the fourth biggest value? (a) 0.2 (b) -3/7 (c) -1298/5 (d) 1
c
Which is the fourth smallest value? (a) -1/5 (b) 1/901 (c) 0.4 (d) -2 (e) 1/90 (f) 3 (g) -6/7
b
What is the third smallest value in -5, -52461.5, 13?
13
What is the second smallest value in -9/395, 384, -19?
-9/395
What is the fifth smallest value in -1/3, 2/15, -881388, 0.5, 0.3, -24?
0.3
What is the second biggest value in -3/4, 5/3, 158, -1108, -3/2?
5/3
What is the third biggest value in -187, -4, -1927?
-1927
What is the biggest value in 4/1229, -0.1, 3.5, -3, 1, -13, -5?
3.5
Which is the biggest value? (a) 5 (b) -1/4 (c) -9789/7
a
Which is the third biggest value? (a) -0.3 (b) -0.5 (c) 41799 (d) -15 (e) 0 (f) 0.06
e
What is the biggest value in 0.269, 22/5, 0.5, 108.9, -0.2?
108.9
Which is the fourth biggest value? (a) 0.06 (b) -0.4 (c) -9582 (d) 72
c
Which is the biggest value? (a) 5 (b) -59 (c) 0.1 (d) -257/5 (e) 2/5 (f) -4 (g) -2
a
What is the sixth biggest value in -0.3, 0.6, -24, -2, 385, -6/5?
-24
What is the fifth biggest value in -2, 7, 26/577, -3, -0.1, 3?
-2
Which is the sixth smallest value? (a) -0.5 (b) 5 (c) 26/9 (d) -7 (e) -2/15 (f) -4 (g) -428
c
Which is the third smallest value? (a) 0.11 (b) -2 (c) 1/3 (d) 1.1 (e) -5 (f) -27 (g) -11
e
What is the second smallest value in -2, 33, 629, 2/5, 6/5, -0.2, -0.5?
-0.5
What is the second smallest value in -44/7, 0.3, -7, 0.03?
-44/7
What is the smallest value in -1415357, 1, 0.2?
-1415357
Which is the fourth biggest value? (a) 4 (b) 1/5 (c) -10 (d) -7/11 (e) -35 (f) -1 (g) -27
f
Which is the third smallest value? (a) 1 (b) -0.4 (c) 167 (d) 54214
c
What is the fifth smallest value in 11, 5/3, 205, 0.59, 2/9?
205
What is the fourth biggest value in -13/7, -0.5, -4, 152, -5/18, 2?
-0.5
Which is the third biggest value? (a) 0.1 (b) 0.2 (c) -2 (d) -4 (e) 54.5 (f) -3 (g) -1
a
What is the fifth smallest value in -0.29, -2, -0.04, -1/6, 0.837, 3/5, 1/4?
1/4
What is the second smallest value in 2/5, 0.063204, -1034?
0.063204
What is the third biggest value in -3, -3/10, -5, 0.37, -1, -4/13?
-4/13
What is the fourth biggest value in 3/1352, -9, -3/2, -0.08?
-9
What is the biggest value in 0.0509, 1.9, -3/4, 5, -2/9, 2/9?
5
What is the fifth smallest value in -3/5, 2/27, 1, 35/24, 4, -0.2, 15?
35/24
What is the fifth biggest value in 15, -5, -109, -3, 4, -2.3, 0?
-3
Which is the second biggest value? (a) -16 (
|
{
"pile_set_name": "DM Mathematics"
}
|
+ t**2 + 1 - 1.
-48*t**2
Expand (2*r**2 - r**3 - 2*r**2)*(-8*r + 7*r - 5*r).
6*r**4
Expand 3*s - 3*s - s - s + 0*s - s + (-2 - 2*s + 2)*(-1 - 4 + 3) + 7*s - 3*s - 2*s - 38*s - 2 + 36*s + 1.
s - 1
Expand (0 + 3 - 2)*(-1 + 0 - 1)*(0 + 2 + 2*b - 1).
-4*b - 2
Expand -m**2 + 0*m + 0*m + (1 + 2*m - 1)*(m + 0*m + m).
3*m**2
Expand (-z + 2*z**2 + z)*(-8*z**2 - z**2 + 5*z**2).
-8*z**4
Expand (2*l - 5*l + 2*l)*(11*l - 2*l - 6*l).
-3*l**2
Expand (-25*p + 2*p**4 + 25*p)*(1 + 4 + 0)*((2*p - p + p)*(-3 + 3 - 2) + 4*p + p - 3*p).
-20*p**5
Expand (-3 + 4 + 1)*(-18*s + s + 3*s)*(4 - 4 - 2).
56*s
Expand (5 - 2 - 1)*(0*s**2 - 4*s**2 + 2*s**2) + 6 + 5*s**2 - 6 + (0*s**2 - 3*s**2 + s**2)*(0 + 1 - 3) - s**2 + 3*s**2 - s**2 - 3*s + 2*s**2 + 3 - 3.
8*s**2 - 3*s
Expand (-3 + 8 + 0)*(p**2 - 2*p**2 - p**2).
-10*p**2
Expand (9 - 9 + q)*(-3*q + q + q).
-q**2
Expand -u**2 + u - u + (-5 + 5 - 2*u**2)*(1 - 2 + 3) - u**2 - u**2 + u**2 + u - u - u**2 + 0*u**2 - 2*u**2 + u**2 + (-u**2 - 2*u**2 + 0*u**2)*(-2 + 2 - 3).
u**2
Expand (a**2 - a**2 - a**4)*(6*a - 3*a - a) + 0*a**4 + 0*a**4 + a**5 + (-12 - 1 + 7)*(-4*a**5 + 0*a**5 + 6*a**5).
-13*a**5
Expand (-p + p**2 + p)*(-5*p + 5*p + 4*p**2) + 2 - 2 - 2*p**4.
2*p**4
Expand (3 - 2*z - 4 - 1)*(2*z**2 - 4*z**2 + 4*z**2).
-4*z**3 - 4*z**2
Expand (b**2 + 3 - 3)*(-4 + 3*b + 4)*(5 - 2 - 1).
6*b**3
Expand -7*g**2 + g**2 + 0*g**2 + 6*g**2 - 4*g**2 - 3*g**2 + (g - g + g)*(4*g + 0*g - 6*g) + 0*g + g**2 + 0*g - g**2 + g**2 + 3*g**2.
-5*g**2
Expand (-3*d**2 + 0*d**2 + d**2)*(d**2 + d**2 - 3*d**2)*(1 + 5*d - 1)*(3 + 5 - 6).
20*d**5
Expand (0 + 0 - p)*(p + 2*p - 5*p)*((-1 + 3 + 0)*(-1 + 3*p + 1) + 3*p - p + 0*p).
16*p**3
Expand (c**3 - c**3 + 4*c**3)*(0*c**2 + 3*c**2 - c**2)*(-10 + 5 + 2).
-24*c**5
Expand 4*d**3 + 0*d**2 + 0*d**2 + d**3 + 0 + 0 + (0*d**2 + d**2 - 2*d**2)*(-1 + 1 - d) - 3*d**3 - d**3 + 2*d**3 - 3*d**3 - 2*d**3 + 7*d**3 + 0*d + 0*d + 2*d**3.
8*d**3
Expand (1 + 2*q - 1 + (-1 + 0 + 0)*(-q - 1 + 1) + 2*q + 0*q - q)*(0 + 4 + 0).
16*q
Expand -13*i**4 - 17*i**4 + 2*i**5 + 4*i**4 + (-5*i**4 + 4*i**4 + 0*i**4)*(3 + 2*i - 3) - i + i**5 + i.
i**5 - 26*i**4
Expand (-2*o**2 + o**2 + 2 - 1)*(-4*o + 4*o - 9*o**2).
9*o**4 - 9*o**2
Expand 4*n**5 - 4*n**5 - 2*n**5 - 3*n**5 + 4*n**5 - 3*n**5 + (3*n**5 - 5*n**5 + 3*n**5)*(-1 + 4 - 1) + 3*n**5 + 0*n + 0*n - 5*n**5 + 2*n**5 + 6*n**5.
4*n**5
Expand (-12*x + 3*x - 6*x)*(2 + 2*x**2 - 2).
-30*x**3
Expand 0*s**4 - 2*s**4 + 3*s**4 + (-s**3 - 3*s**3 + 6*s**3)*(0*s + s + 0*s) + 5*s - 11*s + 4*s + s**4.
4*s**4 - 2*s
Expand -2 + 2 + 2*k**2 + (3 + 0 - 1)*(0*k + 2*k**2 + 0*k) - 2*k**2 + 0*k**2 - k**2 + (-2*k - 3*k + 4*k)*(-3*k + 4*k + k).
k**2
Expand 4*u + 2*u**3 - 4*u + (2*u - 4*u + u)*(1 - 1 + u**2) - 25*u**3 + 5*u**2 + 23*u**3 + 0*u**2.
-u**3 + 5*u**2
Expand -3*c**4 - 5*c**2 + 5*c**2 + (6*c + 0 + 0)*(1 - 1 + 2*c**3).
9*c**4
Expand (1 + 0 + 1)*(2*f**2 - 4 + 4) + f - 2*f**2 - f + 3*f**2 - f**2 + f**2 + 2*f - 2*f - 2*f**2.
3*f**2
Expand (0 + 1 + 1 + r)*(26 - 8 - 6).
12*r + 24
Expand (-6*q**2 + 2*q**2 + 2*q**2)*(21*q**2 - 14*q**3 - 21*q**2 - 3*q**3 + 2*q**3 + 2*q**3 + (-3 + 2*q**2 + 3)*(q + 2*q - q)).
18*q**5
Expand -2*r + 0*r + 8*r + 3*r - r + 0*r + (2*r + 3*r - 3*r)*(-4 + 4 - 1) - 2*r + 2*r + r.
7*r
Expand (-3*b**3 + 3*b**3 + b**3)*(b**2 + 1 - 1) + (-1 + 2 - 2)*(-3 + 3 - b**5).
2*b**5
Expand (2*b - 6*b + 2*b)*(-18*b - b**2 + 0*b**2 + 10*b).
2*b**3 + 16*b**2
Expand (-4*n**4 + 0*n**4 + 2*n**4)*(-2 + 3 + 1) + (-4*n - n + 6*n)*(n**3 - 3*n**3 + 3*n**3).
-3*n**4
Expand (w - w + w)*(0*w + 0*w + 2*w)*(-w - 2*w + 6*w).
6*w**3
Expand (-5*r**2 + 4*r**2 + 2*r**2)*(-2*r - 1 + 1) + (4 - 3 + 2)*(-2*r + 4*r**3 + 2*r).
10*r**3
Expand (3*f**2 - 2*f**2 + 0*f**2)*(-2*f + 2*f - f**3) + (2*f - f + 2*f)*(-4 + 4 - f**4).
-4*f**5
Expand (-2*t**2 + t**2 + 3*t**2)*(2*t**2 - t**2 - 5*t**2) - 3*t**4 + 4*t**4 + 2*t**4 - 3*t**4 - t**4 + 2*t**4 + 3*t**4 + 1 - 2*t**4 + 0*t**4.
-6*t**4 + 1
Expand (-4*l**2 + 4*l**2 - 3*l**3)*(6 - 11 - 7).
36*l**3
Expand (i**2 - 6*i**2 - i**2)*(-4*i**2 + 4*i**2 - 3*i**2).
18*i**4
Expand (-3*h**2 + 3*h**2 - 2*h**2 + (-4 + 5 - 2)*(-3 - 2*h**2 + 3) - 2 + 2*h**2 + 2 + 5*h**2 - 23*h + 23*h)*(-1 - h**3 + 1).
-7*h**5
Expand (3*x - 5*x + 0*x)*(2 + 1 - 1)*(4 - 2 - 6)*(4 + 1 - 2).
48*x
Expand (9 - 3 - 1)*(0 - x**2 + 3*x**2 + 2)*(-1 - 2*x + 1).
-20*x**3 - 20*x
Expand (9*u - 20*u - 11*u**2 + 10*u)*(2*u - 4*u + u).
11*u**3 + u**2
Expand (-c**2 + 2*c**2 - 7*c**2)*(-c**3 + c**3 - c**3) + c**5 - 2*c**5 - c**5.
4*c**5
Expand -3*q**5 + 5*q**5 - q**5 + (-3*q**3 + 3*q**3 - 2*q**3)*(-q**2 - 4*q**2 + 6*q**2) - 2*q**5 + q**4 - q**4 + (2 - 2*q - 2)*(-q**4 + q**4 + 2*q**4).
-7*q**5
Expand (0*f + f - 2*f)*(-1 + 4 + 0).
-3*f
Expand (-3*i**3 - i**3 + 2*i**3)*(-2 + 2 - 3) - 9*i + 9*i + i**3.
7*i**3
Expand ((2 - 2 + m**2)*(2*m**2 - 4*m**2 + m**2) - m**3 + m**3 + 18*m**4)*(-3 + 3 - 3*m).
-51*m**5
Expand (-1 - 1 + 4)*(-28*i - i - 4*i).
-66*i
Expand 2*y**2 + y**2 - 2*y**2 + (-2*y - 2*y + 3*y)*(0*y + 2*y - 3*y) + 3*y**2 - 2*y + 2*y + (6 + 15*y - 6)*(-2*y - 3*y + 4*y).
-10*y**2
Expand (-g - 8*g + 4*g)*(-5 - 3 + 3)*(g**3 - 2*g**3 - g**3).
-50*g**4
Expand 12 + 7*k**3 - 12 + (-k**2 + 2*k**2 - 6 + 2)*(-3*k + 1 - 1).
4*k**3 + 12*k
Expand (3 + 1 + 2)*(1 - 1 - f)*(-3*f + 5*f - f).
-6*f**2
Expand (2 - 1 - 3)*(19*d + 36*d - 77*d)*(2 + 2*d - 2).
88*d**2
Expand (9 - 9 - 20*p**3)*(2 + 1 + 1).
-80*p**3
Expand (a + 2*a**3 - a)*(a**2 - 7*a**2 + 18*a**2 + a - a + a**2 + 0*a**2 + 0*a**2 - a**2 + (-2*a + 1 - 1)*(0 + 0 - 2*a) + a**2 + a**2 - 3*a**2 + a**2 - 1 + 1).
32*a**5
Expand (2 - 2 - h**3)*(-4 + 1 + 1) - 122*h + 122*h - 26*h**3.
-24*h**3
Expand (f - f - 3*f**2)*(-3 + 5*f**2 + 3) + f**4 + 0*f**4 - 3*f**4.
-17*f**4
Expand (2 + 3 - 3)*(-1 + 1 - p)*(11 + p**2 - 11).
-2*p**3
Expand 3*o**2 - 3*o**2 + 2*o**2 + (0*o + 7*o - o + (1 - 2 + 3)*(3*o - 4*o + 3*o))*(-2*o + 2*o + 3*o).
32*o**2
Expand 2*d - 2*d + d + (-5*d + d + 2*d)*(-2 + 3 + 0) + d + 1 - 1 - 4 + 4 + 2*d + 64 - 64 + 2*d + d + 2*d - d.
6*d
Expand m**2 - m**2 + 3*m**2 + 2*m**2 + 0*m + 0*m + 3*m**2 + 4*m**2 - 4*m**2 + 0*m**2 + 2*m**2 - 4*m**2 + (-2 + 2 + m)*(6*m - 2*m - 3*m).
7*m**2
Expand (-2*q - 4*q + 5*q)*(-1 + 4 + 0) + 9 - 2 - 9 - 18*q.
-21*q - 2
Expand -16*i**2 + 7 - 7 + (-2*i + 5*i - 2*i)*(-i + 2*i + i) - 2*i**2 + 4*i**2 - i**2.
-13*i**2
Expand (v**4 - 2*v**4 - v**4)*(-6*v - 8 + 8) - 6*v**5 + v**5 + 3*v**5 + (-4*v**4 + v**4 + v**4)*(-2*v - 1 + 1).
14*v**5
Expand (n + n + n)*(2 - 2 + n) + 0*n**2 + n + 3*n**2 - 2*n.
6*n**2 - n
Expand (-g**2 + g**2 - 2*g**2)*(-12 - 4 - 2*g + 14).
4*g**3 + 4*g**2
Expand 0*t - 3*t + 2*t + (-2 - 5 + 1)*(2 - 2*t - 2) + t + t + 0*t.
13*t
Expand (-5*i**2 + 0*i**2 + 3*i**2)*(-2*i - 3*i + 2*i + (0 + 3 - 1)*(-i + 0 + 0)).
10*i**3
Expand -17*x**4 + 2*x**4 - 4*x**4 + (-2*x + 2*x - 2*x**3)*(3*x - 4*x + 3*x) - 2*x**4 + x**4 - x**4.
-25*x**4
Expand (6*n + 2*n - 6*n)*(-2 + n + 2) - n + 3*n - n + n**2.
3*n**2 + n
Expand (0*s + 3*s - 2*s)*(-4 - 2 + 4) + 1 - 1 + s - 1 - 2*s + 1 + 2*s - 5*s - 2*s.
-8*s
Expand (-y + 3*y - 4*y)*(-1 + 1 - 2) - 2 + 4 + 4*y + 0.
8*y + 2
Expand (3 - 5 + 3 - 2*l)*(-5*l**3 + l**3 + 2*l**3).
4*l**4 - 2*l**3
Expand (18*t - 9485 + 9485 - 4*t**2)*(-2*t**2 + 4*t**2 - 4*t**2).
8*t**4 - 36*t**3
Expand (1 + 1 - 4)*(2*s + 1 - 1)*(8*s**2 - 8*s**2 + 19*s**3) + 1 + 2*s**4 - 1.
-74*s**4
Expand (1 - 4 + 2)*(-2 - 1 + 5)*(2*s + 3*s - s).
-8*s
Expand (2 - 3 - 1 + (5 + 1 - 4)*(0 + 1 + 2))*(-6*h + 3*h + 2*h)*(-4*h + 3*h + 3*h).
-8*h**2
Expand (7*r + 11 - 11 + (-2*r - 2 + 2)*(-4 + 1 + 4))*(r**4 + r**3 - r**3).
5*r**5
Expand (3*a - a - 4*a)*(-3 - a**2 + 0*a**2 - 2*a**2).
6*a**3 + 6*a
Expand (4*b**3 - 2*b**3 - 3*b**3)*(0*b + b - 30 + 33).
-b**4 - 3*b**3
Expand -3*n**5 + 6*n**5 - 2*n**5 + 0*n**2 + 2*n**5 + 0*n**2 - 2*n**5 + 3*n**5 + n**5 + (-5 - n**3 + 5)*(0*n**2 - 3*n**2 + 2*n**2) - n**4 + n**4 - 2*n**5.
4*n**5
Expand 5*z**4 - 5*z**4 - 3*z**3 + z**4 - 6*z - 1 + (-z**3 + 4 - 4)*(2 + 2*z - 2).
-z**4 - 3*z**3 - 6*z - 1
Expand (1 + 0 - 5)*(-17*p**4 - p**3 + 0*p**3 + 16*p**4).
4*p**4 + 4*p**3
Expand (-5*t + 34 - 34)*((-2 + 5 - 2)*(-4*t + 5*t + t) + 2*t - 3*t + 3*t)*(0*t + 0*t - 2*t**3).
40*t**5
Expand 0 - 2 - 7 + y + (-2 + 2 + y)*(5 - 2 - 1).
3*y - 9
Expand (0 - 5 + 2)*(-4*x + 2 - 2) + (-3*x + 3*x - x)*(-6 + 11 + 7) + (1 - 1 - x)*(0 + 1 + 0) + 2 - 2 - x.
-2*x
Expand 4*t - 4 - 4*t - t**3 + 3*t**
|
{
"pile_set_name": "DM Mathematics"
}
|
es -127
-127
Calculate -7*-1.1.
7.7
-7 * -110
770
-0.023 * 0.4
-0.0092
Product of 2.4 and 0.006.
0.0144
Product of 13 and 0.0188.
0.2444
Work out 0.2 * 0.198.
0.0396
1.08*2
2.16
What is the product of 156 and 3.6?
561.6
-0.053 times -173
9.169
What is the product of -6.3 and -0.6?
3.78
Calculate 0*139.
0
5 * 54
270
Work out 20 * -0.04.
-0.8
Work out -16 * 16.
-256
-375 * 3.3
-1237.5
What is -3 times 5.414?
-16.242
What is 178 times 50?
8900
What is the product of 2.1 and 1.96?
4.116
0.03*51
1.53
Calculate 23*59.
1357
What is the product of 0.062 and 0.14?
0.00868
Product of 543 and 5.
2715
Calculate -4832*0.5.
-2416
What is 2 times 145?
290
0.079 times 0
0
Calculate -2.9*1.1.
-3.19
-0.016 * -220
3.52
Calculate -1591*-5.
7955
5433*0.2
1086.6
Multiply -0.4 and 3800.
-1520
Product of -86 and -4.
344
Work out 0.55 * -69.
-37.95
-2 times -0.6496
1.2992
84 * 0
0
Work out -0.2 * 35.
-7
Calculate -46*92.
-4232
What is the product of 1139 and 2?
2278
What is the product of 6.6 and -1?
-6.6
Calculate 0.3*-0.15.
-0.045
-0.256*-0.01
0.00256
Multiply -2.377 and -4.
9.508
75 times -0.03
-2.25
-347 times -5
1735
-0.3*1551
-465.3
0.5*-0.84
-0.42
Multiply 2.09 and -0.2.
-0.418
1 * 0.73
0.73
What is the product of 0.375 and 4?
1.5
What is -0.05 times -0.1?
0.005
0 times -0.02
0
-14 * 0.11
-1.54
-1 times 63
-63
109*-47
-5123
What is 0 times 2577?
0
Work out -2 * 0.45.
-0.9
What is the product of 2 and -265?
-530
Product of -0.11 and 0.098.
-0.01078
3*10
30
What is -28.5 times -0.5?
14.25
-0.0638*0.5
-0.0319
Product of -31 and -0.29.
8.99
Product of -12 and 0.6.
-7.2
What is 251.55 times 2?
503.1
-3 times -93
279
Multiply 163 and -9.4.
-1532.2
Calculate -1238*-0.3.
371.4
Product of -0.815 and -1.
0.815
23*6.95
159.85
Work out -0.1 * -69.
6.9
Product of 5 and -56.
-280
-3265 * 3
-9795
-0.4 times -371
148.4
3.153*-2
-6.306
What is the product of 376 and -2?
-752
0.781 times -0.02
-0.01562
313.8*-2
-627.6
Calculate 460*-0.61.
-280.6
-411*4
-1644
Product of -23118 and 5.
-115590
What is 68 times -40?
-2720
What is the product of 0.06 and 41.9?
2.514
-0.04*0.32
-0.0128
Product of -4 and 12.
-48
Product of 0.5 and 1.9.
0.95
-4 * -0.05
0.2
Product of -2 and 5103.
-10206
-3 * 90
-270
Multiply 0.4 and 7.
2.8
What is the product of 6 and -0.02?
-0.12
Work out -2.463 * -0.03.
0.07389
Work out -0.06104 * 3.
-0.18312
Multiply -4 and -2137.
8548
Work out 2645 * 0.5.
1322.5
Product of 0 and -4.5.
0
Product of -325 and -0.036.
11.7
Multiply -3 and -124.
372
What is the product of -90.7 and 0?
0
-8070*-1
8070
-2 times -1347
2694
324 * -8
-2592
-0.0661 times -2
0.1322
What is -16 times -71?
1136
-239 times 0.3
-71.7
Calculate 1*-4.6.
-4.6
Calculate 0.4*11.
4.4
Product of -0.124 and 1.
-0.124
-0.2 * -146
29.2
Calculate 7*0.31.
2.17
Product of -4 and -38.
152
What is 34 times -17.6?
-598.4
What is the product of 142 and -0.1?
-14.2
-2*0.42
-0.84
Product of -0.3 and -36.
10.8
Calculate 8*234.
1872
5 times -42
-210
Product of 2.07 and 52.
107.64
What is the product of -3.2 and -5?
16
What is the product of -1 and 8?
-8
Product of -0.4 and 0.61.
-0.244
What is the product of 1724 and 0?
0
Calculate -2*-10.3.
20.6
What is the product of 3 and -37?
-111
Calculate 0.119*-48.
-5.712
What is -0.3 times -3.39?
1.017
Product of -0.42 and 0.4.
-0.168
What is 4 times -210?
-840
Product of 0.5 and -7.6.
-3.8
Product of 0.087 and 0.5.
0.0435
1 * 869
869
Calculate -38*140.
-5320
Multiply 0.2 and -176.
-35.2
0.4 * -0.063
-0.0252
0.02 times 0.0266
0.000532
Multiply 13 and -0.9.
-11.7
-0.04 * 43
-1.72
What is 16.086 times 0?
0
What is -92 times 0.036?
-3.312
-0.1 * 0.31
-0.031
-1520 * -0.8
1216
Multiply 0.034 and -1.
-0.034
Product of 0.557 and -0.1.
-0.0557
Work out 0.01 * -1.747.
-0.01747
Multiply 0.32 and -0.0639.
-0.020448
258 * 0.5
129
What is -1 times -8.73?
8.73
-1 times 1168
-1168
Calculate 5*-22.3.
-111.5
What is the product of -5 and 0.3057?
-1.5285
-0.1557*0.3
-0.04671
0.32 times 1.1
0.352
0.5*-25
-12.5
Work out 1 * -38.7.
-38.7
Calculate 0.01*-0.045.
-0.00045
What is 0.56 times -12?
-6.72
Work out 2159 * 2.
4318
Calculate 7*5.
35
What is the product of -734 and 7?
-5138
Multiply -2.5 and 21.8.
-54.5
-10 times -51.8
518
Multiply 79 and 11.3.
892.7
Work out 88 * -33.
-2904
1*-4101
-4101
-44 times 8
-352
Product of 44.4 and 0.21.
9.324
Calculate 0.2*20.
4
-1.5 times 6
-9
What is the product of 1111.1 and -0.5?
-555.55
Product of 4 and 2687.
10748
Work out -0.4 * -3487.
1394.8
Multiply -0.4 and 0.1463.
-0.05852
What is 4 times -11.21?
-44.84
20*0.05
1
Multiply -5.4 and -8.
43.2
3 times -2.4
-7.2
6*9.6
57.6
What is 0.9 times -24?
-21.6
Work out -0.129 * 23.
-2.967
-435 * 0
0
What is 0.2 times -30?
-6
0.4 * 7.6
3.04
Product of 2.7 and -5.
-13.5
Work out -356 * 2.
-712
-1.058*-2
2.116
-0.17*1.2
-0.204
Product of 3 and -1082.
-3246
Multiply -1 and -2.93.
2.93
Work out 2 * -29.
-58
-30 * -0.7
21
What is the product of 0.2 and 13.2?
2.64
Product of -4 and -68.
272
Multiply 0.059 and 0.08.
0.00472
What is 0.46 times 266?
122.36
Multiply -42.3 and -0.2.
8.46
What is the product of 1073 and 5?
5365
Calculate 17*78.
1326
Work out 4.8 * -95.
-456
What is -8.872 times -3?
26.616
Calculate 1.08*-2.
-2.16
158*-0.3
-47.4
What is the product of 52.6 and -4?
-210.4
Multiply -0.048 and -38.
1.824
Work out 5 * 0.0409.
0.2045
Calculate -2783*0.7.
-1948.1
What is the product of -5 and -0.75?
3.75
Multiply 0.5 and 58.
29
-1 times -0.212
0.212
-244.3 times -0.1
24.43
Work out 0.153 * -2.
-0.306
What is the product of -52 and 199?
-10348
-33 times 95
-3135
Calculate 34*-0.04.
-1.36
What is the product of 321.7 and -0.5?
-160.85
What is the product of -42 and -39?
1638
What is -0.04 times 0.8?
-0.032
0.5*135.8
67.9
Product of -1 and -0.1409.
0.1409
Work out 75 * 3.
225
159 * 29
4611
0.2 * -0.0044
-0.00088
Calculate -635*-0.6.
381
Product of -8 and 959.
-7672
Multiply 399 and -0.01.
-3.99
0.11 * -5.3
-0.583
Product of 2 and 683.
1366
Calculate 9*36.
324
What is the product of -62.38 and 0.5?
-31.19
Calculate -0.072*0.24.
-0.01728
-0.81 times 2.6
-2.106
What is the product of 1.8 and 117?
210.6
What is the product of -920 and 0.1?
-92
866*-0.01
-8.66
-2 times -0.44
0.88
-0.06 times -7.7
0.462
0.5 * -24
-12
Multiply -22.4 and 4.
-89.6
Product of 0.7894 and 0.5.
0.3947
Multiply 1 and -34.
-34
Product of 38 and 0.9.
34.2
-1550*-0.02
31
Product of -0.2 and -0.4.
0.08
What is the product of -1 and -0.28?
0.28
0.056 * -0.1
-0.0056
What is 0 times -390?
0
What is -30 times -15.9?
477
0.16 * -186
-29.76
7.308 * 0
0
Work out -1 * -0.025.
0.025
Product of 10 and -2.05.
-20.5
Multiply 1 and -0.0255.
-0.0255
What is the product of 0 and 64.6?
0
Product of -19 and -0.058.
1.102
1 times -0.533
-0.533
Multiply -1.1 and -4.
4.4
136 times 0.4
54.4
-0.175 times -5
0.875
3.15 times 22
69.3
239 * 5
1195
Work out -0.5 * -1279.
639.5
Work out 4 * -148.
-592
Product of 4 and 2.91.
11.64
What is the product of 544 and 11?
5984
Calculate -0.003*-0.23.
0.00069
Work out 67.7 * 0.5.
33.85
What is -118.5 times -4?
474
What is the product of -0.8 and 1233?
-986.4
0.0337 * 10
0.337
What is -0.19 times 0.43?
-0.0817
What is the product of 0.4 and -2309?
-923.6
Product of -0.1 and 125.
-12.5
Product of -0.72 and -15.
10.8
3261 times -0.5
-1630.5
-3 * 0.0289
-0.0867
Work out -13.2 * 4.
-52.8
0.7 * 7
4.9
What is -0.365 times 34?
-12.41
What is the product of 134 and 0.3?
40.2
-5*-34
170
What is -66 times -127?
8382
162 * 0.172
27.864
What is the product of 5.2 and 0.3?
1.56
Calculate 0.6*31.
18.6
0.3 * -155
-46.5
2.38 * 0.2
0.476
Multiply 4 and -0.77.
-3.08
What is the product of -0.3 and -129?
38.7
Work out -2 * 8.75.
-17.5
0 times -64
0
What is the product of -0.4 and -29?
11.6
Multiply 1.1 and -189.
-207.9
What is the product of 225.2 and -0.1?
-22.52
Work out -1.9 * -10.
19
1.838 * -3
-5.514
What is the product of 0.06 and 84?
5.04
What is the product of 0.1 and 144?
14.4
-15*-87
1305
Product of 0.41 and 30.
12.3
0.4*-1.03
-0.412
Multiply 17 and 2.
34
-0.3 times 1.21
-0.363
Calculate 15.56*0.1.
1.556
Calculate 0.2*-127.
-25.4
Multiply -3 and 16.1.
-48.3
What is the product of 5 and 1.297?
6.485
Work out 0 * 31.
0
-518.2 * -3
1554.6
Work out 3.3 * -23.4.
-77.22
Multiply -0.16 and -5.
0.8
What is the product of -3 and 0.11?
-0.33
-1543*0
0
Multip
|
{
"pile_set_name": "DM Mathematics"
}
|
integer?
28
What is 30106 to the power of 1/2, to the nearest integer?
174
What is the fifth root of 1785 to the nearest integer?
4
What is 8499 to the power of 1/3, to the nearest integer?
20
What is the cube root of 83634 to the nearest integer?
44
What is the eighth root of 450 to the nearest integer?
2
What is the cube root of 2437 to the nearest integer?
13
What is the cube root of 1108 to the nearest integer?
10
What is the square root of 5162 to the nearest integer?
72
What is the eighth root of 991 to the nearest integer?
2
What is the square root of 423 to the nearest integer?
21
What is the cube root of 15832 to the nearest integer?
25
What is 11787 to the power of 1/3, to the nearest integer?
23
What is 491 to the power of 1/3, to the nearest integer?
8
What is the third root of 9873 to the nearest integer?
21
What is the fourth root of 21166 to the nearest integer?
12
What is the cube root of 1660 to the nearest integer?
12
What is the square root of 2415 to the nearest integer?
49
What is 3458 to the power of 1/10, to the nearest integer?
2
What is the third root of 6469 to the nearest integer?
19
What is the square root of 824 to the nearest integer?
29
What is 12332 to the power of 1/3, to the nearest integer?
23
What is the square root of 63 to the nearest integer?
8
What is the square root of 6641 to the nearest integer?
81
What is 8679 to the power of 1/6, to the nearest integer?
5
What is the fifth root of 32661 to the nearest integer?
8
What is 1092 to the power of 1/3, to the nearest integer?
10
What is the fourth root of 3263 to the nearest integer?
8
What is the square root of 449 to the nearest integer?
21
What is 432 to the power of 1/2, to the nearest integer?
21
What is 5969 to the power of 1/2, to the nearest integer?
77
What is 2304 to the power of 1/3, to the nearest integer?
13
What is 1258 to the power of 1/4, to the nearest integer?
6
What is 5166 to the power of 1/5, to the nearest integer?
6
What is 218 to the power of 1/4, to the nearest integer?
4
What is 3375 to the power of 1/7, to the nearest integer?
3
What is the cube root of 178 to the nearest integer?
6
What is the square root of 10344 to the nearest integer?
102
What is 1838 to the power of 1/2, to the nearest integer?
43
What is the fourth root of 970 to the nearest integer?
6
What is the sixth root of 13984 to the nearest integer?
5
What is the square root of 126860 to the nearest integer?
356
What is the square root of 12932 to the nearest integer?
114
What is the cube root of 22390 to the nearest integer?
28
What is the cube root of 72819 to the nearest integer?
42
What is 767 to the power of 1/3, to the nearest integer?
9
What is 6815 to the power of 1/2, to the nearest integer?
83
What is the ninth root of 615 to the nearest integer?
2
What is the square root of 1169 to the nearest integer?
34
What is 545 to the power of 1/2, to the nearest integer?
23
What is 60 to the power of 1/5, to the nearest integer?
2
What is the fourth root of 2479 to the nearest integer?
7
What is the cube root of 6533 to the nearest integer?
19
What is the seventh root of 5886 to the nearest integer?
3
What is the third root of 21122 to the nearest integer?
28
What is the square root of 12762 to the nearest integer?
113
What is the fourth root of 85711 to the nearest integer?
17
What is the cube root of 993 to the nearest integer?
10
What is the square root of 5208 to the nearest integer?
72
What is 1538 to the power of 1/2, to the nearest integer?
39
What is the eighth root of 6218 to the nearest integer?
3
What is 638 to the power of 1/7, to the nearest integer?
3
What is the square root of 45560 to the nearest integer?
213
What is the square root of 35773 to the nearest integer?
189
What is 20808 to the power of 1/3, to the nearest integer?
28
What is 161310 to the power of 1/6, to the nearest integer?
7
What is the fourth root of 1656 to the nearest integer?
6
What is the seventh root of 955 to the nearest integer?
3
What is the cube root of 171 to the nearest integer?
6
What is 2932 to the power of 1/3, to the nearest integer?
14
What is 35233 to the power of 1/2, to the nearest integer?
188
What is 29891 to the power of 1/3, to the nearest integer?
31
What is the seventh root of 2095 to the nearest integer?
3
What is 1017 to the power of 1/9, to the nearest integer?
2
What is the fourth root of 7741 to the nearest integer?
9
What is the third root of 652 to the nearest integer?
9
What is the third root of 15842 to the nearest integer?
25
What is 4781 to the power of 1/3, to the nearest integer?
17
What is 17756 to the power of 1/3, to the nearest integer?
26
What is the third root of 56207 to the nearest integer?
38
What is 694 to the power of 1/6, to the nearest integer?
3
What is the cube root of 5884 to the nearest integer?
18
What is 909 to the power of 1/2, to the nearest integer?
30
What is the square root of 758 to the nearest integer?
28
What is the third root of 1042 to the nearest integer?
10
What is 2205 to the power of 1/9, to the nearest integer?
2
What is the cube root of 86803 to the nearest integer?
44
What is the cube root of 1030 to the nearest integer?
10
What is the cube root of 50360 to the nearest integer?
37
What is the square root of 5884 to the nearest integer?
77
What is the ninth root of 2194 to the nearest integer?
2
What is 1367 to the power of 1/2, to the nearest integer?
37
What is the seventh root of 1160 to the nearest integer?
3
What is the cube root of 32983 to the nearest integer?
32
What is the fourth root of 2266 to the nearest integer?
7
What is the cube root of 30619 to the nearest integer?
31
What is 403 to the power of 1/5, to the nearest integer?
3
What is the sixth root of 1658 to the nearest integer?
3
What is the square root of 741 to the nearest integer?
27
What is the cube root of 205893 to the nearest integer?
59
What is 4892 to the power of 1/5, to the nearest integer?
5
What is the seventh root of 2866 to the nearest integer?
3
What is 69385 to the power of 1/2, to the nearest integer?
263
What is 12856 to the power of 1/10, to the nearest integer?
3
What is the square root of 49316 to the nearest integer?
222
What is 5981 to the power of 1/2, to the nearest integer?
77
What is the eighth root of 30466 to the nearest integer?
4
What is the cube root of 1978 to the nearest integer?
13
What is the third root of 37919 to the nearest integer?
34
What is the seventh root of 425 to the nearest integer?
2
What is the fifth root of 1903 to the nearest integer?
5
What is the seventh root of 1665 to the nearest integer?
3
What is the fourth root of 14647 to the nearest integer?
11
What is 3518 to the power of 1/9, to the nearest integer?
2
What is 211 to the power of 1/8, to the nearest integer?
2
What is 4491 to the power of 1/2, to the nearest integer?
67
What is the third root of 2296 to the nearest integer?
13
What is the fourth root of 895 to the nearest integer?
5
What is the cube root of 4430 to the nearest integer?
16
What is 41861 to the power of 1/3, to the nearest integer?
35
What is the sixth root of 2941 to the nearest integer?
4
What is the eighth root of 63261 to the nearest integer?
4
What is the fourth root of 3142 to the nearest integer?
7
What is 1046 to the power of 1/3, to the nearest integer?
10
What is 31510 to the power of 1/2, to the nearest integer?
178
What is the ninth root of 2894 to the nearest integer?
2
What is the seventh root of 37265 to the nearest integer?
4
What is the fourth root of 797 to the nearest integer?
5
What is the tenth root of 1276 to the nearest integer?
2
What is 3705 to the power of 1/6, to the nearest integer?
4
What is 17682 to the power of 1/5, to the nearest integer?
7
What is the third root of 24269 to the nearest integer?
29
What is the seventh root of 13923 to the nearest integer?
4
What is the cube root of 1535 to the nearest integer?
12
What is 2165 to the power of 1/3, to the nearest integer?
13
What is the sixth root of 964 to the nearest integer?
3
What is the third root of 33452 to the nearest integer?
32
What is 228 to the power of 1/2, to the nearest integer?
15
What is 1237 to the power of 1/2, to the nearest integer?
35
What is 1180 to the power
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -5*y + 0*y = -t. Solve 2*p - y = 4*p for p.
-3
Suppose 5*i - 4*u - 32 = 3*i, 3*u = 5*i - 94. Solve 7*m = 2*m - i for m.
-4
Let f = -1 + 5. Let m be f/14 - 515/(-35). Solve m = 2*b + 3*b for b.
3
Suppose 0 = -2*a - 5*i - 4, -3*a = 4*i - 0 - 1. Solve -a*p = 2*p + 5 for p.
-1
Suppose -3*i - 2*x - 4 = 2, -5*x - 15 = -4*i. Solve -5*n + 4 - 24 = i for n.
-4
Suppose 0 = -6*o + o + 20. Let c = o + -1. Solve -k - c*k = 12 for k.
-3
Suppose 0*n = -n. Solve n = -k + 3*k for k.
0
Suppose 4*c = 23 - 7. Solve -i + 2 = c for i.
-2
Suppose -3*g + 23 = n, 19 = 2*g + n + 5. Suppose 17 = -0*x - x - 5*u, -4*x = -2*u - 42. Let y(w) = -w + 9. Let k be y(x). Solve -2*o - k = g for o.
-5
Let l be 0/(-1) - 3 - -5. Let m be (-1)/6 - 100/(-24). Suppose 0 = -l*b + 3*o + 13 + 26, -2*o = m*b - 38. Solve u + b = 5*u for u.
3
Suppose 2*i = -3*o + 21, -2*o + 6 = -2*i + 2. Let z = 5 - o. Solve z = 2*w + 4 + 2 for w.
-3
Let b be 1 + -20*6/(-24). Solve 3*w + 0 - b = 0 for w.
2
Let d be (0 - (-6)/2) + 0. Let x be 12/3 + (20 - -4). Suppose -5*s - 2*c + x = 12, -6 = 3*c. Solve -d*t - 2 = s for t.
-2
Let k(l) = l**2 + 7*l + 1. Let h be k(-9). Let m = 22 - h. Solve m + 3 = -2*u for u.
-3
Suppose 3*o = -2*u - 15, o = 5*u - 2*o - 15. Solve -f = -u*f + 2 for f.
-2
Let c be 7/3 - 3/9. Suppose 7 = c*b + 3. Suppose -b = -2*y + 4*x, -y + 23 = 2*y + 4*x. Solve m + y = -0*m for m.
-5
Let b = 44 + -40. Solve -2*d - b = -2 for d.
-1
Let c = 12 - 7. Suppose -2*b + 7*s = 2*s - 13, 0 = 5*s + c. Solve a + b = -a for a.
-2
Let f(j) = j**2 - 5*j + 3. Let b be f(5). Let v(a) = -2*a - 26. Let y be v(-13). Solve -b*l = 9 - y for l.
-3
Suppose -20 = -t - 2*d, -17 = -5*t - d + 56. Let o be 7/(-28) + (-31)/4. Let j = o + t. Solve j*r - r = 25 for r.
5
Let k = 6 + -4. Solve k*v - v = -4 for v.
-4
Let j(o) = -o**3 + 4*o**2 - 3*o. Let k be j(3). Solve k*h - 5*h = -10 for h.
2
Let a(o) be the second derivative of o**4/12 - 7*o**3/6 - 3*o**2/2 + 10*o. Let l be a(8). Solve -2*k = -k - l for k.
5
Let a = 24 - 22. Solve -2*s = a*s + 16 for s.
-4
Let b(u) = 2*u + 36. Let n be b(-18). Solve -4*r + r = n for r.
0
Let m = -34 + 34. Solve 3 + m = 3*r for r.
1
Let v(t) = t**2 - 2*t - 3. Let n be v(-2). Let g(m) = m**2 - 6*m + 5. Let o be g(6). Suppose -3 = 3*p, -3*p - 9 = -o*j + p. Solve -n*a - j = 9 for a.
-2
Suppose 3*q + 3*d - 12 = 0, -q + 6*q - 5*d + 20 = 0. Solve -3*y + 6*y - 6 = q for y.
2
Suppose 0*r = 3*r. Let t be r/((-7)/(21/6)). Solve -4 = -p - t for p.
4
Let v(n) = 5 + 0*n**3 + 7*n**2 - 2*n**2 - n**3 - n**2. Let c be v(4). Suppose 20 = 3*t - c*h + 3*h, 0 = -2*t + 2*h + 16. Solve t = -3*j - 2 for j.
-2
Let k = 3 + -1. Suppose k*z - 5 = -3*z. Let v be (10/(-8))/(z/(-4)). Solve 0 = -v*m + m for m.
0
Let j(b) = -3*b. Suppose 5*n = 14 + 6, -2*p - 8 = -3*n. Suppose p*d - 16 = 4*y - 2*d, y + 4*d + 4 = 0. Let h be j(y). Solve -2*k + h = k for k.
4
Let h(w) = 3 + 1 + 7 - w. Let r be h(8). Solve -2 = -r*k + 7 for k.
3
Let w be (-19)/95 + (-62)/(-10). Solve -b - b - w = 0 for b.
-3
Let w be (-1)/((-2)/(-22)) - -3. Let u = w + 11. Let i = 3 - 2. Solve 5 = -u*g - i for g.
-2
Let w(r) = -r - 3. Let i be w(-7). Solve 2*n = 3*n - i for n.
4
Suppose -3*l - 9 - 9 = 0. Let n = 21 - 30. Let u be n/l*(-4)/(-3). Solve -2*a = -u + 12 for a.
-5
Let r = 23 + -15. Solve 0 = -2*y - 2*y + r for y.
2
Suppose 23 = -2*j + 3*h, 3*h = 5*j + 22 + 22. Let s = j + 10. Solve -s - 1 = -i for i.
4
Let k(s) = -s**2 - 10*s - 10. Let y be k(-8). Let w be y/30 - (-2)/(-10). Suppose 0 = -m - w*m. Solve -4*i + i + 12 = m for i.
4
Let m = -50 + 52. Solve -m*i - 25 = 3*i for i.
-5
Let k = 1 - 1. Let n(j) = j**2 - 14*j - 12. Suppose -3*o - 5*g = -37 - 8, -3*o - 2*g + 45 = 0. Let h be n(o). Solve -v = -h - k for v.
3
Let k be 23/3 + 20/60. Solve 2*y + 4 = k for y.
2
Let a(v) be the second derivative of v**5/20 + v**4/4 - 2*v**3/3 + 3*v**2/2 - v. Let h be a(-4). Let y be 0/(h/(5 - 2)). Solve w + w - 10 = y for w.
5
Let m be 1*(1 + 0) + 6. Suppose 13 = 2*u - 5. Let a = -6 + u. Solve -a*x = -m + 16 for x.
-3
Suppose -3*y = 2*a + 16, 14 = -5*y - a - 1. Let f(p) = -p**3 - 2*p**2 + 3*p. Let g be f(-3). Let c be y - g - -1 - -1. Solve c*h - 2 = h for h.
-2
Let z be ((-5)/(-30))/((-1)/(-6)). Solve -q - z = 2 for q.
-3
Let r = -3 + 9. Let n(t) = t**2 - 5*t - 3. Let m be n(r). Suppose 0 = u - 4*g - 5, m*u = -g + 1 + 27. Solve h = -2*h + u for h.
3
Let i be 0*2*(-1)/4. Suppose 0*x = 2*x - 4. Let l = i + x. Solve 0 = -b + 3*b + l for b.
-1
Suppose 0 = 3*j - 104 + 29. Solve -s - j = 4*s for s.
-5
Suppose -4*s = s + 20. Let l be (1 - -1)/(s/(-22)). Let g = 65 - 51. Solve g = 5*h - l for h.
5
Let c(t) = -t**2 - 2*t + 3. Let m be c(-3). Solve m = 4*b + 4 for b.
-1
Let s be (-14 - (-2)/2)/(-1). Let w = -9 + s. Solve w*x = -0 + 4 for x.
1
Let u = 78 + -43. Suppose -l + u = 4*l. Solve 3*g + 2 = -l for g.
-3
Let r(s) = s**2 + 8*s + 1. Let z(c) = -c**3 - 6*c**2 + 2*c + 5. Let a be z(-6). Let i be r(a). Let k be 2/i - 20/(-6). Solve -k*h + 4*h = 2 for h.
2
Suppose -b + 2 = b. Let p be 0/(1 + b)*1. Suppose -d + 9 - 3 = p. Solve -w - 1 + d = 0 for w.
5
Suppose 0 = 22*s - 27*s. Solve s = 2*n - 5 - 1 for n.
3
Let k = 41 - 10. Let q = k + -20. Solve 4*y - 3 = -q for y.
-2
Let i be (-4)/14 + 64/28. Let q be (-2 + i)/(4/4). Suppose -3*r = -q*r. Solve 3*f + 7 + 8 = r for f.
-5
Let l(m) = -m**2 + 1. Let x be l(-1). Suppose -2*d - d = x. Solve d = 4*p - 16 - 0 for p.
4
Suppose -4*i + 9 = -3*i. Solve -4*m + 15 = -i*m for m.
-3
Suppose 0 = -13*y + 10*y. Suppose y = -5*x - j + 9 + 3, -2*x + 5*j = -21. Suppose -4*w + 2*w + 7 = 5*n, -2*n + 4*w = -22. Solve -n = -0*o + x*o for o.
-1
Let m(k) = -2*k - 1. Let a(u) = u - 16. Let w be a(14). Let b be m(w). Solve -10 + 1 = -b*i for i.
3
Suppose 4*v - 16 = 3*m - 0, 2*m + 2*v = -6. Let i be 1*17 + m + 2. Solve 3*h - 6*h = -i for h.
5
Let t(x) = x**3 + 13*x**2 - 11*x + 73. Let g be t(-14). Solve 0 = 5*a + 11 - g for a.
4
Suppose -5*i = -i - 4. Solve 3*m = 2 + i for m.
1
Suppose 4*t - 20 = -8. Solve 5 = -2*k - t for k.
-4
Let k be 2 - (-2 + (-1)/1). Solve 0 = 3*q - k - 4 for q.
3
Let m = -33 + 35. Solve -m = -f - 5 for f.
-3
Let j be 99/4 + 16/64. Solve 2*g + 3*g + j = 0 for g.
-5
Let w = 8 + -4. Let d(y) = 6*y**2 - 2*y + 1. Suppose 2*k = -0*k + 2. Let i be d(k). Solve -w*g = -i*g - 3 for g.
-3
Suppose -2*q + 8 = 0, 2*j - 2*q - 1 + 21 = 0. Let k = 11 + j. Suppose -2*v - y + 3*y - 4 = 0, -5*v + 4*y = 7. Solve 0 = -3*t - k - v for t.
-2
Let c = 5 + -10. Let r(h) = h**2 + 5*h. Let i be r(c). Suppose 5*x = -0*w - 3*w + 18, -x = -4*w + 1. Solve y + x = -i for y.
-3
Suppose -8*q + 60 = -68. Solve 0*j = 4*j + q for j.
-4
Suppose -3*y + 4 = -y. Solve 3 = 5*p - y*p for p.
1
Suppose j - w - 3 = 3, 5*w + 20 = 0. Let z = 7 - j. Suppose 4*s - 6*s = 3*s. Solve -z*q + q - 16 = s for q.
-4
Let n be (-18)/21*(-1 + -6). Let z(v) be the third derivative of v**4/24 - v**3/2 + 2*v**2. Let y be z(n). Solve -y*p - 2 = -17 for p.
5
Let k be (7 + -7)*(-1)/2. Let w(r) = -r**2 + 7*r - 7. Let q be w(5). Solve q*h + 10 + 2 = k for h.
-4
Let k(i) = -4*i**3 - 10*i**2 + 2. Let q(a) = -3*a**3 - 10*a**2 + 2. Let g(t) = -4*k(t) + 5*q(t). Let b be g(10). Solve -b*p + 0*p + 10 = 0 for p.
5
Let c(r) = -12*r. Let k be c(-1). Suppose 2*x = -3*x. Suppose 12 = 3*w - x. Solve -w*m + 8 = -k for m.
5
Let n = 0 - 0. Suppose 5*t + 2*v + 13 + n = 0, t - 3*v = 11. Let h be 140/15 - t/(-3). Solve -2*k + h = -1 for k.
5
Let s = -59 + 59. Solve -2*m - 6 = -s*m for m.
-3
Let r(y) = -y - 7. Let h be r(-5). Let l = 3 - h. Let q(t) = t**2 + t + 3. Let f be q(0). Solve f*p - l*p = 0 for p.
0
Let z be ((-2)/(-6))/(6/72). Suppose -s + z = 3*s. Solve -2 = x - s for x.
-1
Suppose o - 3 = 0, -3*o = -0*b + 2*b - 13. Let c = -5 - -2. Let p be 2 + (-3)/(c/(-2)). Solve p = b*q - 3*q + 2 for q.
2
Let k be (8 + -8)*1/(-1). Suppose 5*y + 5*a = 0, k = -5*y - 2*a - a + 4. Solve -y*h - 1 + 5 = 0 for h.
2
Suppose 4*x - 36 = -f, 5*x - 24 = -f + 4*x. Suppose b + 4*b = f. Solve -2 = 3*o + b for o.
-2
Let v = -17 + 19. Solve 0 = v*n + n for n.
0
Suppose -4*x + x = -12. Solve -d = -x*d + 12 for d.
4
Let h be (-3)/(-6) - (-27)/6. Solve 16 + 4 = -h*s for s.
-4
Let m = -4 + -1. Let y = m + 8. Solve -2 - y = -t for t.
5
Suppose -4*d + 15*d = 0. Solve d*f + 4*f = 4 for f.
1
Let k(p) = -3*p**3 + 8*p**2 - 17*p. Let n(j) =
|
{
"pile_set_name": "DM Mathematics"
}
|
rue
Is 39960311 composite?
False
Is 9171445603 a composite number?
False
Is 665881409 composite?
False
Is 522122129 a prime number?
False
Is 82799183 a composite number?
True
Is 791510267 prime?
True
Is 6217161869 prime?
True
Is 18911620877 prime?
False
Is 25316462863 a prime number?
True
Is 2177449657 a composite number?
False
Is 784989691 composite?
False
Is 206556209 a prime number?
False
Is 1900991641 prime?
False
Is 37585184663 composite?
True
Is 6066259477 composite?
False
Is 4246291201 prime?
True
Is 2713867691 prime?
False
Is 314676893 a composite number?
True
Is 2820477589 a prime number?
False
Is 1583177419 composite?
True
Is 177869385149 prime?
False
Is 1433149873 a prime number?
False
Is 3596276687 composite?
False
Is 1563339761 prime?
True
Is 21869834453 a prime number?
False
Is 6849492163 a composite number?
False
Is 3984347813 composite?
False
Is 26265655849 a prime number?
False
Is 312212933 composite?
False
Is 43150858139 composite?
False
Is 25149532983 a composite number?
True
Is 4564968403 composite?
False
Is 64552452737 composite?
True
Is 578432581 a composite number?
True
Is 808861637 prime?
False
Is 388309343 composite?
True
Is 935788067 a composite number?
False
Is 1204378757 composite?
False
Is 5668449967 a prime number?
False
Is 30476022923 composite?
True
Is 9719464778 composite?
True
Is 132464197769 composite?
False
Is 417494083 prime?
True
Is 977763781 a composite number?
True
Is 178048873 composite?
False
Is 1440658943 a prime number?
False
Is 1967359631 prime?
True
Is 54278263447 composite?
True
Is 147006181 prime?
False
Is 102406410601 composite?
True
Is 61589824123 prime?
True
Is 239480947 a composite number?
True
Is 165379061 a composite number?
True
Is 7597570811 a composite number?
True
Is 127745046983 a prime number?
True
Is 579550381 composite?
False
Is 24640858247 prime?
False
Is 1362936755 composite?
True
Is 520750033 composite?
False
Is 14205627298 composite?
True
Is 1408836829 prime?
True
Is 4646269493 composite?
False
Is 7022016059 prime?
False
Is 114489017 a composite number?
False
Is 2036897201 a prime number?
False
Is 87671978963 composite?
False
Is 68822329 a prime number?
True
Is 94831057033 a composite number?
True
Is 2287723111 prime?
False
Is 13045084781 composite?
True
Is 517225649 prime?
False
Is 152534308319 composite?
False
Is 14464421189 a prime number?
True
Is 6990425153 prime?
False
Is 4955108227 composite?
True
Is 201806233 composite?
False
Is 2534968297 prime?
False
Is 250631393 composite?
False
Is 7559364413 prime?
False
Is 667324219 prime?
False
Is 4785120479 a prime number?
True
Is 7356515669 a prime number?
False
Is 1083075547 prime?
True
Is 1173695597 composite?
True
Is 1202623079 composite?
True
Is 7679110363 a composite number?
True
Is 7834571341 a prime number?
False
Is 16626879913 a composite number?
True
Is 7416393067 composite?
True
Is 1109463193 a composite number?
False
Is 1526220893 composite?
False
Is 8407472851 prime?
True
Is 414498621 composite?
True
Is 228097697 prime?
True
Is 2427291779 a composite number?
True
Is 123369707 composite?
False
Is 127401859367 a prime number?
True
Is 473136007 a prime number?
False
Is 40922779531 prime?
False
Is 11054085605 a composite number?
True
Is 149492279 a composite number?
False
Is 57721404313 a prime number?
True
Is 3905459021 prime?
True
Is 1355020291 a composite number?
False
Is 93500425087 composite?
False
Is 1508249153 composite?
False
Is 2884755661 prime?
False
Is 1440520193 a prime number?
False
Is 36391487941 composite?
False
Is 4357761227 a prime number?
True
Is 18851573747 a composite number?
False
Is 8164279481 a composite number?
False
Is 17937403013 composite?
True
Is 1037396951 prime?
True
Is 170523667 a prime number?
False
Is 598044943 a prime number?
True
Is 260820335462 prime?
False
Is 551263147 a prime number?
False
Is 9396927889 composite?
False
Is 1503640615 prime?
False
Is 868402021 prime?
False
Is 3494640278 prime?
False
Is 19541725387 composite?
False
Is 967959578 a composite number?
True
Is 6014828389 a composite number?
False
Is 13531674421 a composite number?
False
Is 499097483 a prime number?
False
Is 33146439331 prime?
True
Is 132648839 composite?
False
Is 18085282679 composite?
False
Is 371006219 prime?
False
Is 993691843 a composite number?
True
Is 1703693909 composite?
True
Is 23215393771 a prime number?
True
Is 588522989 prime?
True
Is 29773319 a prime number?
False
Is 3693141121 prime?
True
Is 25825112359 composite?
True
Is 69028876373 prime?
True
Is 53613943247 composite?
False
Is 13108823669 composite?
False
Is 2058111467 composite?
True
Is 11168968043 composite?
False
Is 108365382791 a prime number?
False
Is 651304337 a composite number?
False
Is 10122590701 a composite number?
False
Is 91629808489 a composite number?
False
Is 1707513163 a composite number?
False
Is 15586728799 prime?
True
Is 2651351099 a prime number?
True
Is 2176014721 a prime number?
True
Is 1115627459 a composite number?
False
Is 1913408759 prime?
True
Is 47111749 a composite number?
True
Is 2545926433 a prime number?
True
Is 12304492741 prime?
True
Is 10200591119 composite?
False
Is 490969919 prime?
False
Is 3516711617 a prime number?
True
Is 4123656587 a prime number?
False
Is 2246918357 composite?
False
Is 9035660537 composite?
True
Is 493759817 a prime number?
True
Is 317438365429 composite?
True
Is 702095167 a composite number?
False
Is 10657573961 prime?
True
Is 3313627822 a composite number?
True
Is 7725602057 prime?
True
Is 91095947719 prime?
False
Is 1736824613 a prime number?
True
Is 6902596097 a prime number?
False
Is 8984070643 a composite number?
False
Is 4857698227 a prime number?
True
Is 849403927 prime?
True
Is 1066189297 composite?
True
Is 50165844373 prime?
True
Is 24640258021 composite?
False
Is 2509798351 composite?
True
Is 3206463859 composite?
True
Is 2587379347 a prime number?
False
Is 1772748343 composite?
False
Is 608081917 composite?
True
Is 162698911 a composite number?
True
Is 24857835113 composite?
False
Is 3168286739 a prime number?
False
Is 55023759641 composite?
True
Is 693044767 a prime number?
False
Is 164773605611 a prime number?
True
Is 88415741 a composite number?
False
Is 46512849451 a prime number?
True
Is 135092447267 prime?
True
Is 34788113357 prime?
True
Is 25596209383 a prime number?
True
Is 360655303 a composite number?
True
Is 1161514349 composite?
True
Is 7844971177 prime?
False
Is 18812356999 composite?
False
Is 46979620069 composite?
False
Is 5231183041 prime?
False
Is 25766112137 prime?
True
Is 16177843083 composite?
True
Is 1708205739 a prime number?
False
Is 4184937137 a prime number?
True
Is 546673717 composite?
False
Is 4168346839 prime?
False
Is 1083508253 prime?
True
Is 211880372261 a composite number?
True
Is 39370272737 prime?
False
Is 105606192931 a prime number?
True
Is 732737023 prime?
True
Is 9889675327 prime?
False
Is 167248021907 a composite number?
True
Is 528697721 a prime number?
True
Is 3120790813 a composite number?
True
Is 2576249 composite?
True
Is 37580069741 prime?
False
Is 2941875367 composite?
False
Is 3438807727 a composite number?
True
Is 213509713 a composite number?
True
Is 37948679 a prime number?
False
Is 1343884249 a composite number?
False
Is 1031774671 a prime number?
True
Is 51671969 a composite number?
False
Is 3964661539 prime?
False
Is 300872170831 a composite number?
False
Is 88380168341 a composite number?
True
Is 41829456531 composite?
True
Is 22135390205 a composite number?
True
Is 223247726293 prime?
True
Is 694154035 composite?
True
Is 3917245799 a composite number?
False
Is 30298529 prime?
True
Is 174975508973 prime?
True
Is 2787786187 composite?
True
Is 3854682743 composite?
True
Is 871053823 a prime number?
True
Is 206647759 prime?
False
Is 902342183 prime?
True
Is 5773328219 prime?
True
Is 1166490419 prime?
True
Is 32613914873 composite?
True
Is 8637226714 a composite number?
True
Is 1443261031 a composite number?
False
Is 1018971223 prime?
True
Is 14507331551 composite?
True
Is 61694726851 a composite number?
True
Is 1371594277 a prime number?
True
Is 14870683645 a prime number?
False
Is 12997823687 prime?
False
Is 9019523923 a composite number?
False
Is 10565441053 composite?
True
Is 29182515679 a prime number?
True
Is 19
|
{
"pile_set_name": "DM Mathematics"
}
|
ll.
1/2
Four letters picked without replacement from htyvurruyutrt. What is prob of picking 1 h and 3 u?
1/715
What is prob of picking 3 b and 1 d when four letters picked without replacement from {b: 19, d: 1}?
1/5
What is prob of picking 3 s when three letters picked without replacement from {i: 1, s: 5, n: 5, a: 1}?
1/22
Three letters picked without replacement from pnbeaze. What is prob of picking 1 z, 1 a, and 1 n?
1/35
Calculate prob of picking 1 e and 1 t when two letters picked without replacement from teeetetttteeet.
7/13
Calculate prob of picking 2 h and 1 j when three letters picked without replacement from {j: 8, h: 3, d: 5}.
3/70
What is prob of picking 2 j when two letters picked without replacement from jjvv?
1/6
Three letters picked without replacement from {k: 2, o: 3}. Give prob of picking 1 k and 2 o.
3/5
Four letters picked without replacement from vtvctctv. What is prob of picking 3 t and 1 c?
1/35
Three letters picked without replacement from {b: 1, k: 1, i: 2, z: 1}. Give prob of picking 1 k and 2 i.
1/10
Calculate prob of picking 1 o and 1 f when two letters picked without replacement from xfhhxffumhoohmmmffom.
3/38
Two letters picked without replacement from oooeeiodooozodi. What is prob of picking 2 o?
4/15
What is prob of picking 1 x and 3 k when four letters picked without replacement from {k: 6, x: 13}?
65/969
What is prob of picking 3 u when three letters picked without replacement from fuuu?
1/4
What is prob of picking 1 q and 1 z when two letters picked without replacement from {g: 1, z: 2, q: 1, w: 7, j: 1, v: 2}?
2/91
Two letters picked without replacement from {q: 1, h: 1, f: 4, c: 1, o: 1}. Give prob of picking 1 q and 1 f.
1/7
Three letters picked without replacement from {l: 9, f: 11}. What is prob of picking 3 l?
7/95
What is prob of picking 3 i when three letters picked without replacement from {n: 4, c: 3, r: 2, i: 3, e: 4, t: 1}?
1/680
Calculate prob of picking 2 q when two letters picked without replacement from {q: 13, r: 6}.
26/57
Three letters picked without replacement from {s: 8, c: 8, k: 1}. What is prob of picking 3 c?
7/85
Three letters picked without replacement from rrreerrrrcerrcrrrrrr. What is prob of picking 1 e and 2 c?
1/380
Two letters picked without replacement from {h: 2, b: 9, u: 5, v: 2}. Give prob of picking 1 v and 1 u.
10/153
Two letters picked without replacement from eeww. Give prob of picking 1 w and 1 e.
2/3
What is prob of picking 1 k and 2 u when three letters picked without replacement from {u: 13, k: 2, o: 2, s: 1, v: 1, t: 1}?
13/95
Four letters picked without replacement from {f: 4, d: 2, h: 4, e: 2}. What is prob of picking 3 e and 1 h?
0
What is prob of picking 1 d and 2 z when three letters picked without replacement from dzziiqzqzziziqq?
3/91
Two letters picked without replacement from {l: 2, g: 3, p: 3, r: 4, o: 2, x: 1}. Give prob of picking 1 r and 1 l.
8/105
Three letters picked without replacement from {a: 10, k: 4, j: 6}. What is prob of picking 1 j and 2 k?
3/95
Three letters picked without replacement from hqohhnfhfn. What is prob of picking 1 o, 1 n, and 1 f?
1/30
Calculate prob of picking 1 p and 1 y when two letters picked without replacement from zyyacppppppcpywypypy.
27/95
Calculate prob of picking 1 t and 2 q when three letters picked without replacement from qqqqqqttq.
1/2
What is prob of picking 2 f, 1 i, and 1 j when four letters picked without replacement from {f: 2, t: 1, j: 4, p: 2, i: 2, q: 3}?
8/1001
Two letters picked without replacement from {x: 3, s: 7, l: 3}. What is prob of picking 2 s?
7/26
What is prob of picking 2 u and 1 o when three letters picked without replacement from ofohrfkur?
0
Two letters picked without replacement from {j: 3, s: 4, w: 5, n: 1}. What is prob of picking 1 w and 1 s?
10/39
What is prob of picking 1 b and 1 y when two letters picked without replacement from {b: 1, a: 1, q: 4, y: 2, k: 3}?
2/55
Two letters picked without replacement from pvggggv. Give prob of picking 2 g.
2/7
What is prob of picking 1 i, 1 e, 1 d, and 1 q when four letters picked without replacement from yyyyydyyqdyqdiyde?
2/595
Two letters picked without replacement from klfkkksfsh. What is prob of picking 1 h and 1 s?
2/45
Calculate prob of picking 3 f and 1 x when four letters picked without replacement from ffrrrxfxr.
1/63
Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {m: 1, g: 1, p: 1}.
1/3
Two letters picked without replacement from kraroitrrtooorro. What is prob of picking 2 r?
1/8
Two letters picked without replacement from bttp. What is prob of picking 2 t?
1/6
Three letters picked without replacement from foou. Give prob of picking 1 o and 2 u.
0
Calculate prob of picking 1 h and 3 c when four letters picked without replacement from echhcccwwjwecw.
20/1001
Four letters picked without replacement from {e: 8, h: 2, t: 2, y: 1, m: 1}. Give prob of picking 1 m, 1 h, and 2 e.
8/143
Calculate prob of picking 1 a and 1 r when two letters picked without replacement from wrrrraravrrlla.
3/13
Two letters picked without replacement from {r: 3, o: 2, q: 6, k: 2}. Give prob of picking 1 o and 1 r.
1/13
What is prob of picking 1 e and 1 a when two letters picked without replacement from {f: 9, e: 2, m: 2, j: 1, y: 1, a: 3}?
2/51
Calculate prob of picking 2 s and 1 r when three letters picked without replacement from {f: 2, x: 1, s: 2, r: 1, a: 6}.
1/220
What is prob of picking 1 l and 1 w when two letters picked without replacement from {l: 2, p: 3, w: 10, x: 1}?
1/6
Three letters picked without replacement from zzzlsaa. What is prob of picking 1 z and 2 a?
3/35
Four letters picked without replacement from nynnnyynyynnn. What is prob of picking 3 y and 1 n?
16/143
Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {g: 2, p: 6}.
3/7
Four letters picked without replacement from waxxxxakaaxxx. What is prob of picking 1 w and 3 a?
4/715
Calculate prob of picking 2 r when two letters picked without replacement from {u: 1, j: 1, h: 4, r: 5, i: 1, d: 1}.
5/39
Four letters picked without replacement from hizppbpiphbzh. Give prob of picking 1 b, 1 p, 1 z, and 1 i.
32/715
Three letters picked without replacement from {m: 3, u: 2, g: 10}. What is prob of picking 1 g and 2 u?
2/91
Three letters picked without replacement from rrrruuuurrrrrurrur. Give prob of picking 3 u.
5/204
Two letters picked without replacement from wqwwq. What is prob of picking 1 q and 1 w?
3/5
Four letters picked without replacement from byybyyiyi. What is prob of picking 3 y and 1 i?
10/63
Calculate prob of picking 1 i and 1 n when two letters picked without replacement from iloiinowloionn.
12/91
Three letters picked without replacement from {l: 1, m: 10, h: 1, e: 1}. What is prob of picking 1 e, 1 l, and 1 h?
1/286
What is prob of picking 1 z and 1 l when two letters picked without replacement from {f: 8, l: 3, m: 1, v: 3, z: 5}?
3/38
Four letters picked without replacement from {f: 3, y: 2, c: 1, r: 3, p: 2, h: 4}. What is prob of picking 1 c, 2 r, and 1 h?
4/455
Three letters picked without replacement from {i: 2, c: 10}. Give prob of picking 1 i and 2 c.
9/22
Calculate prob of picking 1 f and 1 w when two letters picked without replacement from {w: 8, a: 6, f: 2, q: 3}.
16/171
What is prob of picking 1 w, 1 a, and 1 f when three letters picked without replacement from {s: 1, k: 3, f: 1, a: 3, w: 3}?
3/55
Four letters picked without replacement from {h: 12, l: 1}. What is prob of picking 4 h?
9/13
Three letters picked without replacement from mnlmcmnlnmhctnh. What is prob of picking 2 n and 1 t?
6/455
What is prob of picking 1 j and 1 z when two letters picked without replacement from qqkqqqzbbqjjj?
1/26
Four letters picked without replacement from {e: 7, s: 7, l: 1, w: 2, h: 2}. Give prob of picking 1 e, 2 s, and 1 w.
49/646
Three letters picked without replacement from iiikepiqdeiei. Give prob of picking 1 k, 1 q, and 1 i.
3/143
Three letters picked without replacement from {s: 15, z: 4}. What is prob of picking 3 z?
4/969
Four letters picked without replacement from {r: 3, s: 3, u: 1, b: 1, w: 3}. What is prob of picking 1 u, 1 s, and 2 w?
3/110
Calculate prob of picking 2 k when two letters picked wi
|
{
"pile_set_name": "DM Mathematics"
}
|
-2*i - 5*n + 1411, n + 6438 = 3*i. Let z be 20/28 - 1 - i/(-14). Calculate the highest common divisor of z and 17.
17
Let l be ((-3510)/50)/((-1)/(-5)). Let y = 536 + l. Let j = y - 131. Calculate the highest common factor of 36 and j.
18
Suppose 4*y + y + 44 = 2*j, 3*y = 0. Suppose 0 = -f + 23 + j. What is the highest common factor of f and 5?
5
Let l be -5 + (-45 - (1 + 1)). Let a = l + 101. Let y be 0 + 0 + (0 - -7). What is the greatest common factor of y and a?
7
Suppose -3*l + 216 = 15*l - 72. Let z = 133 + -21. Calculate the highest common factor of z and l.
16
Suppose -3*d + 16 + 5 = q, -5*q + 81 = 3*d. Suppose q + 65 = 5*i. Let o = i - -4. What is the greatest common divisor of o and 5?
5
Let a be (6 - (7 + 4)) + 95. What is the greatest common factor of 36 and a?
18
Let c(i) = i**3 - 10*i**2 - 11*i. Let y be (-18)/24 - (-47)/4. Let b be c(y). Suppose 12*x - 10*x - 22 = b. Calculate the highest common divisor of 33 and x.
11
Let l(n) = -n**2 - 2*n + 5. Let r be l(5). Let b be (4/8)/((-3)/r). Suppose 3*w - 14 + b = 0. Calculate the highest common factor of w and 6.
3
Let b(q) = q**3 - 4*q**2 - q + 7. Let w be b(7). What is the highest common divisor of 3 and w?
3
Let o be (-15)/9 - (-164)/12. Calculate the greatest common divisor of o and 30.
6
Let j(a) = a**3 + 6*a**2 + 3*a + 5. Let t be j(-5). Suppose 0 = 47*o - 45*o - 6. What is the highest common divisor of t and o?
3
Let z(c) = c**3 - 7*c**2 + 6*c + 6. Let d be z(7). What is the highest common factor of 768 and d?
48
Let h(p) = p**3 + 3*p**2 - 6. Let t be h(2). What is the greatest common divisor of 20 and t?
2
Let p(q) = -q**3 - 9*q**2 - 6*q + 6. Let j be p(-8). Let r be 39/(3 - (-15)/j). Calculate the greatest common divisor of 65 and r.
13
Let f = 577 + -553. What is the greatest common divisor of f and 168?
24
Let y be (-51)/((-2)/(-2) - 2). Let j = 193 - 133. Let i = j - 26. Calculate the highest common factor of i and y.
17
Let q be ((-6)/4)/(11 + 5278/(-476)). Calculate the highest common divisor of 425 and q.
17
Suppose 43 = 3*a + 67. Let y(u) = -33*u - 17. Let c be y(a). Calculate the highest common divisor of c and 13.
13
Let l be (5/15)/((-1)/(-51)). Suppose -3*c - 1 = -5*z - 11, -c + 10 = -3*z. Let j(o) = -12*o + 8. Let k be j(c). What is the highest common factor of l and k?
17
Suppose -6 = -3*l - 0, 2*u - 5*l - 70 = 0. Calculate the greatest common factor of u and 64.
8
Let i = -907 - -1654. Calculate the highest common divisor of i and 9.
9
Let y = -1450 - -2134. Suppose -y = -5*o - 184. What is the greatest common factor of 25 and o?
25
Let s = 1122 - 781. Calculate the highest common divisor of s and 11.
11
Let b(g) = 6*g**3 - g**2 - 2*g - 2. Let k be b(-1). Let t be (-3 - k) + (-2 + 1 - -2). What is the highest common factor of 25 and t?
5
Suppose -4*y - 6 = -26. Suppose 5*l = -y + 40. Suppose 3*r + 3*a = l*r - 37, 0 = -5*r - 5*a + 20. What is the highest common factor of 77 and r?
7
Let b = -39 + 41. Suppose -2*c - 2*d + 46 = 0, 3*c + 4*d - 118 = -b*c. Let s be 1/((-1)/(0 - 208)). What is the highest common divisor of s and c?
26
Let v(m) = 2*m + 44. Let t be v(-19). What is the highest common divisor of 10 and t?
2
Suppose 0 = -4*z + 5*z + 56. Let o = -39 - z. Calculate the greatest common divisor of 136 and o.
17
Suppose 0 = -2*k + 104 - 6. Suppose -2 + 11 = 3*m. Suppose -3*g + 40 = -5*f, -m*g - f + k + 15 = 0. Calculate the greatest common divisor of 8 and g.
4
Suppose 38*u = 32*u + 228. Calculate the greatest common divisor of u and 266.
38
Suppose -q - 242 = -3*l, 5*l - 561 = -5*q - 171. Calculate the highest common factor of l and 48.
16
Let t be (-194)/(-6) + 2*(-3)/(-9). Suppose 0 = -3*z - 9, -3*m - 5*z = -m - t. Calculate the greatest common factor of m and 12.
12
Suppose -18*q + 8*q - 330 = 0. Let w = -3 - q. What is the highest common divisor of w and 150?
30
Let p(n) = -n + 1. Let x be p(-9). Let y = -14 - -16. Calculate the greatest common factor of y and x.
2
Let c(h) = h**3 + 9*h**2 + 3*h - 39. Let f be c(-8). Calculate the highest common factor of f and 5.
1
Let c = 120 + -104. Let i be -24*(50/(-24) + 12/c). Calculate the greatest common divisor of i and 32.
32
Let x be (5 - 3)/((-2)/(-27)). Let k = -10 + x. Calculate the highest common factor of k and 85.
17
Suppose 0 = -4*s + 584 + 1744. Suppose 2*a = 4*a - s. Suppose 0 = x - r - 4*r - 75, 0 = -5*x - 3*r + a. Calculate the highest common divisor of 24 and x.
12
Let a(q) = 7*q - 84. Let f(p) = 33*p - 419. Let b(v) = -11*a(v) + 2*f(v). Let u be b(-20). Calculate the highest common divisor of 34 and u.
34
Suppose -2*h = -0*h - 36. Let q be 456/76*(-2)/(-8)*2. What is the highest common factor of q and h?
3
Let m(k) = -k**2 - 17*k + 26. Let w be m(-17). What is the greatest common divisor of w and 169?
13
Let k = -548 - -578. Calculate the highest common factor of k and 435.
15
Let u be 1/2*-2 - -5. Suppose 4*x = -5*c - 14, -2*c - x - 6 + 1 = 0. Let o be (10/8)/(c/(-16)). Calculate the greatest common divisor of u and o.
2
Suppose 5*i = -o + 1783, 3*i = 5*i + 2*o - 710. Calculate the highest common divisor of i and 21.
21
Let m(q) be the second derivative of -2*q**3 - 6*q**2 - 2*q + 4. Let c = -14 - -9. Let a be m(c). What is the highest common divisor of 16 and a?
16
Suppose -45 = -6*l - 3*l. Suppose 4*a + 210 = 2*t - 156, l*t - 931 = 2*a. Calculate the highest common factor of t and 11.
11
Let t be 310/(-4)*(-192)/120. Suppose 4*d - t = -3*h + 86, h = 5*d + 70. Calculate the greatest common divisor of h and 14.
14
Suppose 49 = -3*p + 136. Calculate the highest common divisor of p and 116.
29
Let x be 8 - 9/(-2)*(-8)/18. Calculate the greatest common divisor of x and 8.
2
Suppose 0*p - 2*p = 0. Let k = p - -11. Suppose -f = -c - k, -4 = 2*c + 2*c. What is the greatest common divisor of 110 and f?
10
Let v be 85 + (-4 - -4 - 1). Let i be (-24)/v - (-16)/7. Suppose i*l + 12 = 3*l. Calculate the highest common divisor of 3 and l.
3
Suppose -2*i + 57 = -5*t, 0 = -5*i + 6*t - 7*t + 183. Calculate the greatest common factor of 6 and i.
6
Suppose -103*l + 107*l - 228 = 0. Calculate the highest common divisor of 19 and l.
19
Suppose -9*i = -10*i + 25. Suppose -i = 4*u - 5*x, -u + 3*x + 8 = 23. Suppose 5*w + u*w = 45. Calculate the greatest common divisor of 9 and w.
9
Let b(c) be the third derivative of c**4/24 - 7*c**3/6 + 2*c**2. Let l be b(5). Let u be (-5 - l)/((-3)/21). What is the highest common divisor of u and 14?
7
Suppose -1248 = 460*u - 464*u. Calculate the highest common divisor of u and 52.
52
Let p be ((-4 + -17)/7)/((-6)/28). Let z(l) = 154*l**2. Let x(q) = q - 6. Let n be x(7). Let y be z(n). Calculate the highest common factor of y and p.
14
Suppose -2*c + 16 = 3*n, -10*n + 6*n - 2*c = -20. What is the highest common factor of n and 212?
4
Let w(a) = a**2 - 3*a + 3. Let m be w(6). Let q be (-712)/3 - ((-36)/27 - -1). Let h = -153 - q. What is the greatest common factor of m and h?
21
Suppose 0 = -0*g - g + x + 88, 152 = 2*g + 4*x. What is the greatest common factor of g and 462?
42
Suppose 2*m + 20 = -4. Let i = m - -20. Let v(t) = -t**2 - 16*t + 12. Let u be v(-16). Calculate the highest common factor of i and u.
4
Let r(x) = x**2 + 7*x - 8. Let g be r(-8). Suppose -n + 5*n - 128 = g. Suppose -t + n = 3*o, 0*t - 2*o = t - 30. What is the highest common divisor of 13 and t?
13
Let f(w) = -5*w + 15. Let r be f(-12). Calculate the greatest common divisor of 60 and r.
15
Suppose 0 = 4*f + 3*p - 1251, -5*f - 13*p + 17*p + 1587 = 0. Calculate the greatest common factor of 504 and f.
63
Let g(n) = -10*n - 4. Let p = -21 - -20. Let h be g(p). Suppose j = 36 + 18. What is the greatest common divisor of h and j?
6
Let t = -9 - -18. Let j = 7 - 320. Let p be 12/30 - j/5. Calculate the greatest common divisor of p and t.
9
Suppose -42 = 84*u - 114 - 96. Suppose -4*h + 12 = 0, 4*x + 5*h - 2*h - 17 = 0. What is the greatest common divisor of x and u?
2
Suppose -10 = -4*r - r. Let s be 3515/370 + 2/8*2. What is the highest common factor of s and r?
2
Let s be -1 + 3 + -1 + 13. Suppose 0 = 19*f - 59*f + 3920. What is the highest common divisor of f and s?
14
Let i = 230 + -221. What is the greatest common factor of 18 and i?
9
Let h = 74 - 50. Let p(w) = 3*w**2 - w + 1. Let o be (1/3)/((-2)/(-6)).
|
{
"pile_set_name": "DM Mathematics"
}
|
. List the prime factors of n.
17
Suppose 0 = -3*n + 5*n. Suppose n = -t + 11 + 2. What are the prime factors of t?
13
Suppose -5*l - r + 332 = 2*r, -3*l + 184 = -2*r. What are the prime factors of l?
2
Suppose 129 = 5*i - 481. What are the prime factors of i?
2, 61
Suppose -g + 3*g = 76. Suppose 5*h + 4*y - g = 0, 5*y - 2*y = -h + 1. Suppose 18 + h = 4*c. List the prime factors of c.
7
Suppose 10*q - 11*q = 0. Suppose -v = -q*v - 21. List the prime factors of v.
3, 7
Suppose -7*v = -8*v + 3. Let c(a) = 3 - 2 - 2 + a**2. List the prime factors of c(v).
2
Suppose -2*u - 4*h + 46 = 0, 0*u + 72 = 4*u + 3*h. What are the prime factors of u?
3, 5
Let v(s) = s**3 + s**2 + s - 2. Let b = 14 + -12. What are the prime factors of v(b)?
2, 3
Let a(h) = 7*h - 20. Let l(w) = -8*w + 21. Let p(d) = 4*a(d) + 3*l(d). List the prime factors of p(12).
31
Let j = -3 + 0. Let h(f) = 4*f + 9. Let r be h(-6). Let s = j - r. List the prime factors of s.
2, 3
Let j = -5 - -6. Let t be (j*-2)/(8/(-36)). Let s(h) = -h**3 + 10*h**2 - 6*h - 12. What are the prime factors of s(t)?
3, 5
Let a = -4 + -3. Let j(v) = -v**2 - 5*v + 1. Let z(i) = i**2 + 6*i - 1. Let d(u) = -2*j(u) - 3*z(u). What are the prime factors of d(a)?
2
Suppose 4*u = -5*m + 449, 3*u = 2*m - 0*m - 175. What are the prime factors of m?
89
Let m(x) = -2*x + 2. Let f = -5 - -1. What are the prime factors of m(f)?
2, 5
Let v be (44/(-5))/((-12)/30). Suppose v = l - q, -q + 34 = 2*l - 5*q. List the prime factors of l.
3
Let g(p) = -p**2 + 2*p**2 + 2*p + p**2 + 0*p. List the prime factors of g(-2).
2
Let i(b) = -12*b**3 - 2*b - 1. What are the prime factors of i(-1)?
13
Suppose -y - 20 = -5*y. Suppose -y*o = 4 - 49. List the prime factors of o.
3
Suppose 4*w + 27 = w. Let u be (-3 - -5) + w/(-3). Suppose q = 2*q + 5*d + 8, -u*q + d + 64 = 0. List the prime factors of q.
2, 3
Suppose -5*o + 1 + 5 = -r, -4*r + 8 = -4*o. Suppose -4*d = -o*d - 12. What are the prime factors of d?
2, 3
Suppose -2*z - 5*w = -37 - 1, 0 = -3*z + 4*w + 34. What are the prime factors of z?
2, 7
Let k(f) = f**3 + 3*f**2 - 5*f + 1. Let i be k(-4). Suppose -2*u + 31 = -2*w + 3*u, i*w = u - 20. What are the prime factors of (-1)/w + (-130)/(-15)?
3
Let v(f) = 6*f**2 - 3*f + 10. List the prime factors of v(-4).
2, 59
Let u = 51 - 28. List the prime factors of u.
23
Suppose -s + 5*u + 14 = 0, -5*s = -u - 4*u - 130. What are the prime factors of s?
29
Suppose -2*j = -l - 4, 5*l + 3*j + 7 - 26 = 0. Suppose 2*t - s - 25 = -l*t, -2*t - 2*s = -20. List the prime factors of t.
7
Let k = 33 - 30. List the prime factors of k.
3
Let v(h) be the second derivative of -h**5/20 + h**4/3 + h**3/2 - 2*h**2 + 3*h. Let t be v(4). What are the prime factors of (0 - 2)/(t/(-44))?
11
Suppose -4*a - o = -31, 37 = a + 4*a + 3*o. Suppose 4*u = 3*u + a. What are the prime factors of u?
2
Suppose -12 = -4*j - 5*g + 3, 3*g - 9 = 0. Suppose -3*t + 0*t - 18 = 3*z, j = -2*z - 3*t - 9. Let r = 0 - z. What are the prime factors of r?
3
Suppose -61 = -5*i + 74. Let k = 7 + i. Suppose -k = -5*c - 4. List the prime factors of c.
2, 3
Let l(s) be the second derivative of s**5/20 + 5*s**4/6 - s**3/2 + 5*s**2/2 - 3*s. List the prime factors of l(-10).
5, 7
Suppose 3*q = 103 - 22. Suppose 2*s - q = -s. What are the prime factors of s?
3
Let h = -15 + -1. Let v = 24 - h. List the prime factors of v.
2, 5
Suppose 0 = -o + 4*l + 21, 21 = o - 0*o + 2*l. Suppose -5*p + o = -4. List the prime factors of p.
5
Suppose -44 - 106 = -5*a. List the prime factors of a.
2, 3, 5
Suppose -2*m + 2*o + 68 = 0, 0 = -2*m - 4*o + 3*o + 83. List the prime factors of m.
3, 13
Let d = 181 - 117. Suppose 0 = -4*t - 0*t + d. What are the prime factors of t?
2
Let i = 221 - 144. What are the prime factors of i?
7, 11
Let x be (-2)/(-6) + (-177)/(-9). Let u be 416/14 + (-16)/(-56). Let q = u - x. List the prime factors of q.
2, 5
Let s be (-12)/(-9)*(-30)/(-4). Suppose -r = r - s. List the prime factors of r.
5
Let q = 5 + -1. Suppose -q*m = -5*m + 18. List the prime factors of m.
2, 3
Let i(s) = -s + 4. Let c be i(3). Let n = 8 - c. List the prime factors of (2 + n)/(2/2).
3
Suppose -s = -u - 0*u + 1, -2 = -4*s - 2*u. What are the prime factors of (s + -2)*184/(-16)?
23
Let r(j) = -j**3 + 5*j**2 - 5*j + 6. Let b be r(4). Suppose 0*y - 22 = -b*y. What are the prime factors of y?
11
Let f = 32 - 15. List the prime factors of f.
17
Let a = 106 - 0. List the prime factors of a.
2, 53
Let f(w) = -12*w**2 + 9*w - 4 + 3*w**3 - 2*w**3 + 4*w - 1. Let j be f(11). Suppose 0*q + j = q. What are the prime factors of q?
17
Let h = 49 + -9. List the prime factors of h.
2, 5
List the prime factors of (3 - 140 - 3/(-1))*-1.
2, 67
Let t(f) = 33*f. Let c be t(2). Suppose -c = -0*q - 3*q. List the prime factors of q.
2, 11
Let q = -32 - -20. Let i be 3/(-9) - 220/(-12). Let b = q + i. What are the prime factors of b?
2, 3
Let h(y) = -2*y**3 + 43*y**2 + 28*y - 47. What are the prime factors of h(22)?
5, 17
Suppose u - 2*o - 44 = 0, -16*u - 3*o = -14*u - 116. List the prime factors of u.
2, 13
List the prime factors of -3*(-2 - -1)*1.
3
Let k = 2 - -12. What are the prime factors of (-3 - k/(-8))*-4?
5
Let t(l) = 2*l**2 - 2. List the prime factors of t(-3).
2
Let z(j) = -3*j - 29. Let d(o) = -o - 10. Let y(u) = 8*d(u) - 3*z(u). List the prime factors of y(0).
7
Let u(v) be the third derivative of 0 + 1/12*v**4 - 3*v**2 - 2/3*v**3 + 0*v + 1/120*v**6 + 1/12*v**5. List the prime factors of u(-3).
2
Let d(i) = i - 2. Suppose -17 = -4*b - 1. Let v be d(b). Suppose 0 = -r + 3, v*r - 1 + 4 = z. What are the prime factors of z?
3
Let h = 3 - 0. Let x(i) = -i**2 + 5*i + 2. Let j be x(h). Let o = j + -1. What are the prime factors of o?
7
Let c(p) = -2*p + 11. List the prime factors of c(-14).
3, 13
Let i(x) = -3*x**2 - x**3 - 2*x + 2 + 5 - 2*x**2. What are the prime factors of i(-6)?
5, 11
Suppose -146 = -5*j + 124. What are the prime factors of j?
2, 3
List the prime factors of (-139)/3*(-2 - (7 - 3)).
2, 139
Let m(s) = -s**3 - 5*s**2 + 7*s + 7. Let b be m(-6). Let h be 1/(13/12 - b). Suppose 0 = 2*q - q - h. What are the prime factors of q?
2, 3
Let u(g) = g**3 - 8*g**2 + 7*g + 3. Let i be u(7). Suppose -3 = -m - 1, -4*z + 6 = i*m. Suppose 18 = 2*p - z. List the prime factors of p.
3
Suppose 3*d - 3*f = 5 + 16, -3*f = 0. Suppose -44 = -3*o + 4*k, -5*o - 2*k = -23 - d. List the prime factors of o.
2
Let i(k) = k**3 + 2*k**2 - 5*k - 4. Let w be i(-3). Let f be 0 + w + (-6)/(-3). Suppose -8*j = -f*j - 12. List the prime factors of j.
3
Suppose -9 = -0*a - a. Let b = 11 + a. List the prime factors of b.
2, 5
Let k be 1172/20 - (-2)/5. Let z = k + -25. What are the prime factors of z?
2, 17
Let v be 28 + (4 - 2 - 6). Let c = v + -6. List the prime factors of c.
2, 3
Let d be (-15)/(-1) + -5 + 2. Let c = -6 + d. List the prime factors of c.
2, 3
Let n = 51 + -36. List the prime factors of n.
3, 5
Suppose -4*y = 0, 0 = -5*d + 5*y - 26 - 34. Let h be 1/(1 + 5/(-4)). Let g = h - d. What are the prime factors of g?
2
Let h = 5 + -3. Suppose 3*r - 11 + h = 0. What are the prime factors of 28/6 + 1/r?
5
Suppose 3*g - 94 = 26. What are the prime factors of g?
2, 5
Suppose 3*l = 2*x - 1, 4 = x + 2*x - 2*l. Suppose -3 = u + p + x*p, -5*p + 16 = 4*u. List the prime factors of (-10)/5*u/(-2).
3
Suppose 3*w + 18 = 4*q, -2*w - 10 = -6*q + 4*q. Let m(n) be the first derivative of -n**3/3 + 5*n**2/2 - 2*n + 1. List the prime factors of m(q).
2
Suppose 4*p = p + 2*g + 111, -4*p - 5*g = -125. What are the prime factors of p?
5, 7
Suppose n - 20 = -0*n. Let d = n - 6. List the prime factors of d.
2, 7
Suppose y - 2 = -y. Let g = 21 + y. Suppose 4*k - 42 = -3*b, b = -2*k - b + g. List the prime factors of k.
3
Let f be (-4)/(-10) + 208/(-20). Suppose 4*g = 4*w + 56, -g - 40 = 3*w + 22. Let t = f - w. What are the prime factors of t?
3
Let o(k) = 18*k**3 + k. List the prime factors of o(1).
19
Suppose 16 = -5*f + 156. Let x be 1/((-2)/(-30)) + 0. Let p = f - x. List the prime factors of p.
13
Let s be ((-8)/(-12))/((-2)/(-18)). Let x(u) = -15*u**2 + 6*u - 3. Let d(l) = 7*l**2 - 3*l + 1. Let z(q) = 13*d(q) + 6*x(q). What are the prime factors of z(s)?
13
Let j(b) = b**2 - 4*b - 6. Let w be j(-4). Suppose -w = -5*i + 4. List the prime factors of i.
2, 3
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
closest to -3? (a) -2/1133 (b) -2/11 (c) 0
b
What is the closest to 195 in -14, 4, -0.34?
4
What is the nearest to -7 in -10, 4/3, -2/3?
-10
Which is the nearest to 0.039? (a) 0.4 (b) -0.7 (c) 1 (d) 0
d
What is the nearest to 3.7 in 7, -5, -25?
7
Which is the nearest to -1.8? (a) -0.9 (b) -2 (c) 1 (d) 2 (e) 15
b
What is the closest to 15 in -1/9, 1263, 0.1, -0.02, 0?
0.1
Which is the closest to 0.14? (a) -30 (b) 0.4 (c) 3 (d) 2
b
What is the closest to 21 in -1/26, -2/15, -2/13, -1/5, -2?
-1/26
What is the closest to -3 in 197, 0.1, 4, -4, 5/3?
-4
What is the closest to -43.46 in 3, -3, 1/4?
-3
Which is the nearest to 1/4? (a) -1/4 (b) -164 (c) -3
a
What is the closest to 0.1 in -0.03, -1795, 4?
-0.03
What is the nearest to 583 in -0.2, -4, -0.67?
-0.2
What is the nearest to 0.1 in -2, 5/6, -16/27, -6?
-16/27
Which is the closest to 0.2? (a) 2 (b) -0.2 (c) 6/5 (d) 4/7 (e) 7
d
Which is the closest to 229? (a) -110 (b) -7/5 (c) -1/4
c
Which is the nearest to 3/35? (a) -2 (b) -0.4 (c) 51/14
b
What is the nearest to -1/4 in -1, 5.4, 0.4, -0.1, -1/8?
-1/8
What is the closest to -1 in -131/10, -23, -5?
-5
What is the nearest to 0.1 in -0.03, -4, -511, 0.1?
0.1
Which is the nearest to -2/7? (a) -5 (b) -2 (c) -2/1485
c
What is the nearest to 24.06 in -46/3, 0, -7?
0
What is the nearest to -1 in 0, -8, 0.4, -4, 1/5?
0
What is the closest to 0 in 3.1, -3/22, -0.4, 10, -5/4?
-3/22
What is the closest to 1/3 in -1/5, -0.6, 6.4, -2, 0?
0
Which is the nearest to -1/2? (a) 3 (b) -793 (c) 1091
a
What is the nearest to -2/3 in -0.06, 33, -0.167?
-0.167
What is the closest to 2 in -4, 20, 1/4, 4?
1/4
What is the closest to 0 in -1/6, -1, -0.6, 2?
-1/6
What is the nearest to 0 in -3, 1/42, 16/11, 0?
0
What is the closest to 19.2 in -34, -1, 3/7?
3/7
Which is the closest to -0.1? (a) -17 (b) -64/7 (c) 0.12 (d) -5
c
Which is the closest to 24? (a) 0.2 (b) -8 (c) -4 (d) -2/9 (e) 0.3
e
Which is the closest to -5? (a) 0.5 (b) -18/35 (c) -1/7
b
What is the nearest to 1 in 2, -1/2, 107.5, 1?
1
What is the nearest to -2 in -1, 1/4, -0.2, -1/3, -0.105?
-1
What is the closest to -1.2 in 1, 2, 0.2, 25/64?
0.2
Which is the closest to 0.18? (a) 3/5 (b) 0 (c) 4 (d) 2 (e) -0.04
b
Which is the nearest to 1/3? (a) -7 (b) 16 (c) 0.3 (d) -2.2
c
What is the closest to -1/10 in -0.5, -11, -677, 3, 1?
-0.5
Which is the nearest to 0.1? (a) 0.2 (b) 3.2 (c) -2 (d) 2 (e) -15.6
a
What is the nearest to 5 in -3, 3/5, -1/18, -0.13, -12?
3/5
What is the nearest to -2/5 in -4, -4/7, -1/167?
-4/7
What is the nearest to -2/15 in 3, -65, -0.2?
-0.2
What is the nearest to 1 in -5, 558, -11/16?
-11/16
Which is the nearest to -1? (a) -0.3 (b) -4 (c) -0.8 (d) 1826
c
What is the closest to 4 in -9/5, -0.02, -4, 1?
1
What is the closest to -2/11 in -17/6, 1, 74, 0.8?
0.8
Which is the closest to -2? (a) 0.3 (b) -2 (c) 0 (d) 7.36
b
What is the nearest to 5 in -12, 65, 91, -0.4?
-0.4
What is the nearest to -148/3 in -3/8, -2, 1/3?
-2
What is the nearest to -1 in 4, -1589, -3?
-3
What is the nearest to -1 in -16, 0, 0.16, -2/15, 2?
-2/15
Which is the closest to 2? (a) 32821 (b) 0.3 (c) 2/11
b
Which is the nearest to 1/5557? (a) -0.23 (b) 0.2 (c) 2/7 (d) 4
b
Which is the nearest to 9? (a) 0.3 (b) -3/2 (c) 215/16 (d) -0.04 (e) 3/8
c
Which is the closest to 0? (a) -0.172 (b) -0.2 (c) -62
a
What is the closest to 0 in 0, -421, 5?
0
Which is the nearest to 2? (a) 8/11 (b) 19/2 (c) 4/19
a
What is the nearest to -2 in -0.7, 1/11, -0.3, 3/2, 4?
-0.7
Which is the closest to -1/4897? (a) -3 (b) 1 (c) -2/9 (d) 15 (e) 2/7
c
What is the closest to -1 in 3, 8, -502, 3/5, -1?
-1
Which is the closest to -4? (a) -0.09 (b) -3 (c) 2/9 (d) -94
b
What is the nearest to 0 in -2, -9, 60534, -2/7?
-2/7
Which is the closest to -0.05? (a) -0.3 (b) -2/7 (c) 2 (d) -32 (e) -0.1
e
What is the closest to -0.1 in 37, -2/19, -1.7?
-2/19
Which is the nearest to 0? (a) 0.3 (b) 4 (c) -3/5 (d) 5/4
a
Which is the nearest to 2/7? (a) 0.15 (b) 2 (c) 25 (d) 1/3
d
Which is the nearest to -48/7? (a) -1.9 (b) -133 (c) -4
c
What is the nearest to 3 in 3/10, -228, -1?
3/10
What is the closest to 0.05 in -3, 0.001, -0.06, -4?
0.001
What is the nearest to 1 in 0.6, 833, 0.4, -4?
0.6
What is the nearest to -1 in 2326, -2/23, 2, 0.1?
-2/23
What is the closest to -3/7 in 0.5, -0.3, -4/161?
-0.3
Which is the closest to 0.3? (a) 4.2 (b) 5 (c) -13
a
What is the nearest to 64098/5 in 3, 1, -5?
3
Which is the closest to 0.1? (a) -1627 (b) -4 (c) -2/7 (d) 1
c
Which is the nearest to -0.0974? (a) -0.5 (b) -5 (c) -4
a
Which is the closest to -2? (a) -265 (b) -1 (c) 5
b
Which is the closest to 1840? (a) 1 (b) 25 (c) 0
b
What is the closest to 17 in -0.4, 6, 29, 4?
6
What is the nearest to -0.2 in -0.5, 6, -6?
-0.5
Which is the nearest to 26? (a) -6 (b) 5 (c) 18 (d) -1/4
c
Which is the closest to 4223? (a) -0.4 (b) 0.3 (c) -63
b
What is the closest to 0 in -0.5, -370, 2/3, 3?
-0.5
What is the closest to 0.1 in 1/8, -0.2, 13, 2, -12?
1/8
What is the closest to -4 in -4, -82, 89?
-4
What is the nearest to -2 in -5, -9, 0.1, 4/3?
0.1
Which is the nearest to 77.1? (a) -3 (b) 4.5 (c) -0.4
b
Which is the closest to -1? (a) -1/16 (b) 0 (c) -38 (d) -2/19
d
Which is the closest to 2? (a) 2/3 (b) 1/2 (c) 374.14 (d) -1 (e) -4
a
What is the closest to -28/13 in 3/5, -4, 3, 1?
-4
Which is the closest to 0.3? (a) -3 (b) 0.19 (c) 6/5 (d) 0.5
b
What is the nearest to 15 in -17, -6/295, 6?
6
Which is the closest to -0.06? (a) -2/7 (b) -5 (c) -0.11 (d) 3/2
c
Which is the closest to 6/5? (a) -27 (b) 1.3 (c) -2/11 (d) 0.1
b
Which is the nearest to 7? (a) -17 (b) 0.4 (c) 210 (d) 0.3 (e) 1
e
What is the nearest to 36 in 25.56, 0, 5?
25.56
What is the closest to -1 in 4, -23.8, -0.1?
-0.1
What is the closest to -7 in -0.2, 0.3, -2000?
-0.2
What is the closest to 1/3 in -0.019, -6, 2/11, -2?
2/11
What is the closest to -1.7167 in -5, 0.4, -4?
0.4
Which is the nearest to -4.1? (a) 10 (b) 6 (c) -0.7 (d) -0.4
c
Which is the nearest to -10.93? (a) -3 (b) -0.3 (c) -0.4
a
What is the nearest to -30 in -4, -1/2, 0.1, 1/9, 8?
-4
Which is the nearest to -2/3? (a) 17 (b) 18/5 (c) -1 (d) -0.4 (e) -0.2
d
What is the closest to -1 in -255, -6, 0.5, -1?
-1
What is the closest to 0.1 in 2/7, 3, -0.32, 7, -0.047?
-0.047
Which is the nearest to -26900? (a) -3 (b) -3/4 (c) 2
a
What is the closest to 408 in 1, -4, -0.1?
1
What is the nearest to -44 in -0.8, -4, 0.3?
-4
What is the closest to 13 in -1, -0.5, 540?
-0.5
What is the nearest to -19/5 in -5, -1/2, -8/3, -0.4?
-8/3
Which is the nearest to 4913? (a) 5/6 (b) -171 (c) -2
a
What is the nearest to -13 in 4, 1/5, 0.09, 4/11, 2?
0.09
Which is the closest to 0.5? (a) 6/25 (b) -2/13 (c) -7 (d) -51/2
a
Which is the nearest to 0.6? (a) -2 (b) -0.056 (c) -1/4
b
Which is the nearest to -0.2? (a) -300 (b) -0.12 (c) 0.2
b
Which is the closest to -4/9? (a) -0.4 (b) 1/3 (c) 3.614 (d) -1
a
What is the nearest to 4207 in 0.7, -1/9, -4?
0.7
Which is the nearest to 2/3? (a) 0.41 (b) 864 (c) 3/4
c
What is the nearest to -19 in 2, -0.18, -5?
-5
Which is the nearest to 1? (a) -2.1 (b) 0.05 (c) -86
b
Which is the closest to 31/11? (a) 0.4 (b) -1/2 (c) -5 (d) 4
d
Which is the nearest to -35.9? (a) 1 (b) 194 (c) -1/4
c
Which is the closest to 1? (a) 0 (b) 10/3 (c) -8 (d) -2/5 (e) -1
a
Which is the closest to -0.043? (a) -15 (b) 3 (c) -1
c
Which is the nearest to -5? (a) -7/6 (b) -0.5 (c) -2/3
a
Which is the closest to -15/53? (a) -3 (b) 2/3 (c) -2.4 (d) -0.5
d
Which is the nearest to -1124? (a) 0 (b) -2 (c) -2/11
b
Which is the nearest to 0? (a) 0.4 (b) -1/3 (c) 2730 (d) 0.2 (e) 21/8
d
Which is the closest to 8? (a) -8 (b) -176 (c) -0.02
c
Which is the closest to 2/11? (a) 3/4 (b) -2118 (c) 4
a
What is the nearest to -1.4 in -0.4, 8.1, 3?
-0.4
Which is the nearest to -1806? (a) 0 (b) -0.4 (c) 3/17
b
What is the closest to 3/7 in 0.5, -3/2, -30/887, 1?
0.5
Which is the nearest to 70? (a) 7 (b) 0 (c) -2 (d) -11 (e) 2
a
What is the nearest to -1/2 in 1/566, -2/17, -665, 2?
-2/17
Which is the nearest to 3/4? (a) 0.6 (b) 0.1 (c
|
{
"pile_set_name": "DM Mathematics"
}
|
common divisor of 32766 and 1194282.
258
Calculate the highest common factor of 2716 and 28058996.
2716
What is the greatest common factor of 1030005 and 399735?
2115
Calculate the greatest common divisor of 2 and 124834634.
2
What is the highest common factor of 480812677 and 92?
23
Calculate the greatest common divisor of 4476 and 316284.
12
Calculate the greatest common divisor of 4 and 229878412.
4
What is the greatest common divisor of 108093824 and 16?
16
What is the highest common factor of 439023 and 2301?
39
Calculate the highest common factor of 9820343 and 52.
13
What is the highest common divisor of 3271893 and 4757?
71
Calculate the greatest common factor of 2576 and 164592.
16
Calculate the greatest common divisor of 2520 and 1062530.
70
What is the greatest common divisor of 54 and 63269100?
54
What is the greatest common factor of 2296170 and 6138?
558
What is the highest common divisor of 1704061 and 587?
587
Calculate the greatest common factor of 1461968 and 592.
16
Calculate the highest common divisor of 5722 and 208323715.
2861
What is the highest common divisor of 93456 and 66924?
396
Calculate the highest common factor of 63116794 and 26.
26
What is the highest common factor of 51 and 21986491?
17
What is the highest common divisor of 2 and 1227701?
1
Calculate the greatest common divisor of 117 and 19709469.
117
Calculate the greatest common divisor of 4803480 and 55656.
72
Calculate the greatest common factor of 26182192 and 8.
8
Calculate the highest common factor of 1263390 and 67505.
115
What is the greatest common divisor of 279544 and 1472237?
421
Calculate the greatest common factor of 14 and 792160285.
7
What is the greatest common divisor of 800 and 307113320?
40
What is the greatest common factor of 592638 and 204?
6
What is the greatest common divisor of 36275 and 16316495?
7255
Calculate the greatest common divisor of 2848 and 186336808.
712
Calculate the highest common divisor of 11033 and 93449.
17
Calculate the highest common factor of 27421567 and 3173.
167
Calculate the greatest common divisor of 29811010 and 1460.
730
What is the highest common divisor of 7857 and 726336?
873
Calculate the greatest common factor of 385494 and 7614.
282
Calculate the greatest common factor of 2391792 and 1872.
624
What is the highest common factor of 29728768 and 64?
64
What is the highest common divisor of 1808 and 1774100?
452
What is the greatest common factor of 102 and 18279879?
51
Calculate the greatest common divisor of 30 and 3863085.
15
What is the highest common divisor of 100 and 18372600?
100
Calculate the greatest common factor of 12384 and 44393184.
288
Calculate the highest common divisor of 520 and 19675240.
520
What is the highest common divisor of 41323588 and 278?
278
Calculate the greatest common divisor of 17 and 28790843.
17
What is the highest common divisor of 457548 and 77?
7
What is the greatest common factor of 23 and 4835359?
23
What is the greatest common factor of 1580191613 and 11?
11
What is the greatest common factor of 110223 and 244089?
333
What is the greatest common divisor of 2487 and 12871883?
829
Calculate the greatest common divisor of 3653 and 964329899.
3653
Calculate the greatest common factor of 1403088 and 47760.
48
Calculate the greatest common divisor of 3270 and 185974710.
3270
What is the greatest common divisor of 47519 and 274683?
1159
What is the highest common factor of 326 and 65088182?
326
Calculate the greatest common factor of 1687286943 and 131.
131
Calculate the highest common divisor of 700640 and 15520.
160
Calculate the greatest common factor of 595 and 43181705.
35
Calculate the highest common factor of 5510506 and 8971152.
12058
What is the greatest common divisor of 8568684 and 36?
36
What is the highest common factor of 2189348 and 448?
28
Calculate the greatest common divisor of 309 and 30740659.
103
What is the greatest common divisor of 507557982 and 4465?
893
What is the greatest common divisor of 2887388 and 162004?
404
What is the greatest common divisor of 105840 and 54640?
80
What is the highest common divisor of 37352183 and 66?
11
Calculate the highest common divisor of 21826844 and 884.
884
Calculate the highest common factor of 15129971 and 362.
181
Calculate the highest common divisor of 352555 and 605.
5
Calculate the highest common divisor of 48099678 and 22507.
317
Calculate the highest common divisor of 3779095 and 35230.
1355
Calculate the highest common factor of 5307672 and 4488.
408
Calculate the greatest common factor of 10096307 and 51285.
3419
What is the highest common factor of 51205460 and 620?
20
Calculate the highest common divisor of 49532 and 4292.
116
What is the greatest common factor of 419771160 and 10480?
5240
Calculate the greatest common divisor of 13451269 and 346.
173
What is the greatest common divisor of 85368518 and 29?
29
Calculate the greatest common divisor of 55 and 1346445.
5
Calculate the greatest common factor of 60207 and 9305436.
987
What is the highest common factor of 638 and 18656?
22
Calculate the greatest common factor of 2621720 and 1120.
40
What is the highest common divisor of 80212 and 1045?
11
Calculate the highest common factor of 21432125 and 68016.
1417
Calculate the highest common divisor of 103186132 and 28.
28
Calculate the highest common factor of 30006 and 46686002.
3334
What is the greatest common divisor of 17751681 and 81?
9
Calculate the greatest common divisor of 346507 and 6608.
413
What is the highest common factor of 32179715 and 535?
535
What is the highest common factor of 74 and 309002984?
74
What is the greatest common divisor of 271747989 and 9?
9
Calculate the highest common divisor of 5346 and 910800.
198
What is the highest common divisor of 8820 and 74513565?
2205
Calculate the highest common divisor of 325336 and 93544.
88
Calculate the greatest common divisor of 2911685 and 70.
35
Calculate the greatest common divisor of 391 and 85599675.
391
Calculate the greatest common divisor of 17496 and 201528.
648
Calculate the highest common factor of 329978 and 7612.
22
What is the highest common divisor of 19281991 and 109?
109
What is the highest common divisor of 6950 and 12159720?
1390
Calculate the greatest common divisor of 304 and 13898348.
76
Calculate the highest common factor of 132613650 and 1560.
390
Calculate the greatest common factor of 213878957 and 23523.
7841
What is the greatest common factor of 27978882 and 5994?
222
What is the highest common divisor of 1343101 and 1002745?
251
What is the greatest common divisor of 852 and 2504784?
12
What is the highest common divisor of 2140 and 11370460?
20
Calculate the greatest common divisor of 100 and 3909820.
20
What is the greatest common factor of 52 and 46262996?
52
What is the highest common divisor of 208 and 8958274?
26
Calculate the greatest common factor of 19575 and 10564236.
783
Calculate the highest common factor of 4463789 and 209.
11
Calculate the highest common factor of 532 and 72310.
14
Calculate the highest common divisor of 2244975 and 430125.
2775
What is the greatest common divisor of 588 and 19895244?
12
What is the greatest common divisor of 1817 and 10134989?
79
What is the highest common divisor of 279 and 5511552?
93
What is the highest common divisor of 55 and 12600115?
55
What is the greatest common factor of 89659050 and 1560?
390
What is the highest common factor of 646 and 266427519?
323
Calculate the greatest common factor of 10129 and 425999.
7
What is the greatest common divisor of 7630554 and 12?
6
What is the highest common divisor of 27 and 147486231?
27
Calculate the highest common factor of 142154422 and 856.
214
Calculate the highest common divisor of 147981 and 11525.
461
What is the highest common divisor of 4 and 319411?
1
Calculate the highest common factor of 943 and 2270698.
23
Calculate the greatest common divisor of 130950092 and 91.
91
What is the highest common divisor of 93798 and 1078110?
162
Calculate the highest common factor of 27 and 219711.
3
What is the greatest common divisor of 5166 and 3350151?
2583
Calculate the highest common factor of 15194727 and 1494.
747
What is the greatest common factor of 4530060 and 31860?
540
What is the greatest common
|
{
"pile_set_name": "DM Mathematics"
}
|
6 = 2*p for p.
4
Suppose -4*v = -11 - 45. Let u(a) = -a**2 + 14. Let r be u(3). Solve -r*d - v = 1 for d.
-3
Let o(h) = h - 1. Let v be o(-4). Let x be -2 + (-24)/9*3. Let n be (-14)/v + (-2)/x. Solve -l + n = 5 for l.
-2
Suppose 3*d + 17 = 5. Let p = d - -6. Let m = -376 - -379. Solve -5*f + p = -m for f.
1
Let x = 3 - 1. Suppose 0*j + 4*p = j + x, 0 = 5*j + p - 53. Suppose -5*y + 2*y + a = 0, -5*y = 3*a. Solve y = -6*l + l + j for l.
2
Let k be (-1)/(-3) + 4/(-3). Let i be -2*-3*k/(-2). Let j = 327 - 321. Solve 0 = -i*z - j for z.
-2
Let y(r) = r + 2. Let t = 4 + -4. Let k be y(t). Suppose -k = 4*s - 10. Solve -10 = s*i - 4*i for i.
5
Let y(x) = -4*x**2 - x. Let m = -7 + 6. Let b be y(m). Let q = b - -3. Solve q = 5*h + 13 + 12 for h.
-5
Suppose -k + a = 4*k - 22, 0 = -k + 2*a + 8. Suppose k = -j, -g = g - 3*j - 12. Solve r = -g + 2 for r.
2
Let n be (8 + -8)/(3 - 0). Solve n = -5*z - 17 - 8 for z.
-5
Suppose 6*c + 7 = 25. Solve -3*n - c = -9 for n.
2
Let o be 10/(-35) - (-4)/14. Solve o = -3*v + 1 + 2 for v.
1
Suppose -26 + 5 = -3*r - 4*f, -4*r = -3*f - 3. Suppose 0 - 3 = -2*a + t, -5*a - 15 = 5*t. Solve -n + r*n + 6 = a for n.
-3
Suppose -k + 2 = -4. Solve 0 = -k*p + p for p.
0
Suppose c + 3*o - 8 = 8, o = -c + 8. Solve -15 = -c*w + 9*w for w.
-3
Let s(g) be the third derivative of g**4/24 - 2*g**3/3 - 2*g**2. Let p be s(4). Solve 4*q + 20 = -p*q for q.
-5
Let u be (-2)/(-8) - 715/(-52). Let n be ((-2)/(-2))/(u/84). Solve -n*l = -2*l + 12 for l.
-3
Let z = -17 + 17. Solve z*i = -3*i + 9 for i.
3
Suppose 3*f + 0*f = 126. Suppose -2*i = 4*c - f, 0*i = 5*c + 5*i - 55. Let j = c - 0. Solve 0 = 5*x - j for x.
2
Let w be 12/(-2)*2/(-2). Solve 4*x = -w - 6 for x.
-3
Let s be 0/((1/1)/1). Suppose 5*d - 3*g = -0*g + 15, 4*d + 3*g + 15 = s. Suppose u = -d*u + 5. Solve 2*t - 3*t = -u for t.
5
Suppose -3*j = -j. Let u(p) = -2*p**2 + 8*p + 5. Let f be u(6). Let o = f + 38. Solve -5*x + 6 + o = j for x.
5
Let s(c) = -c**2 - c + 1. Let g be s(0). Let r be (-1 + (g - -1))*-1. Let f be (r - 14/(-10))*5. Solve 3*y + f*y - 25 = 0 for y.
5
Suppose 4*d - 12 - 4 = 0. Solve -k = d*k - 15 for k.
3
Let b = 38 + -38. Solve n + n + 4 = b for n.
-2
Let o(v) = v**3 - 3*v**2 + 2*v - 3. Let i be o(3). Suppose -3*g + 3*s + 7 = 4*s, i*s + 31 = 4*g. Solve g = 2*z - 3*z for z.
-4
Let k(f) = f - 5. Let c be k(7). Suppose s = -s + c*d - 4, -4*s - 5*d + 37 = 0. Solve -2 - 10 = -s*u for u.
4
Suppose 2 - 5 = 2*h - 3*j, -j = 5*h - 35. Solve 0*a = 2*a + h for a.
-3
Let n = -46 + 50. Solve -t = n*t + 10 for t.
-2
Let b = 4 - 2. Suppose -4*x = b*w, -3*w + 2*x = -2*w - 8. Let a be w/(-14) - 48/(-21). Solve 0 = z - a*z for z.
0
Let h = 6 + -4. Solve w - 3 + h = 0 for w.
1
Let n be (-3 + 4 - 0) + 0. Solve n = -2*p - 3 for p.
-2
Suppose -20 = 2*m + 5*s, 5 + 3 = -5*m - 2*s. Solve -q = -m*q for q.
0
Suppose -2*j - 18 = -l - 7*j, 0 = -5*j + 15. Solve 0 = s + l*s - 12 for s.
3
Let c be (-1)/1 + 3 - 9. Let u = -14 - c. Let i(w) = w + 7. Let k be i(u). Solve k*t - t - 5 = 0 for t.
-5
Let m = 2 - -1. Suppose x - 15 = -5*o, m*o - 2*x = -3 - 1. Solve -3*r - 2 = -o*r for r.
-2
Suppose -4*n = -2*b - 14, -4*n = b - 4 - 7. Let g = n - 9. Let v be 7/3 + (-4)/g. Solve -f = -4*f - v for f.
-1
Let a = -25 + 34. Solve -w + a = -4*w for w.
-3
Let s be (0 - -1)*(-1)/(-1). Let l = s + 18. Solve -3*g + 7 - l = 0 for g.
-4
Let a(c) = -c**3 + 4*c**2 - 4*c + 3. Let t be a(2). Suppose -2*p - 5 = t*p. Let q = p + 1. Solve 5*z - z + 8 = q for z.
-2
Suppose 0 = 9*r - 7*r - 4. Solve 0 = -5*j + r*j + 9 for j.
3
Suppose 3*d - 132 = 7*d. Let j = 54 + d. Solve -j = -3*b - 9 for b.
4
Let l be 30/2*(-3)/(-9). Suppose u + l = -6*t + 3*t, -2*t = 2*u + 10. Solve t*h = -h - 3 for h.
-3
Let m = 4 - 4. Solve m = -2*a - 8 for a.
-4
Suppose 3*g = 2*q + 1, 2*g - 3*q = g - 9. Let h(k) = -k + 1. Let c be h(-4). Suppose -g*n - 8 = -c*j, 0*n - 2*n = 3*j - 20. Solve -n - 6 = -5*r for r.
2
Suppose -4*z + 6 + 11 = -5*m, -4*z = 5*m - 7. Solve 4*j = 3*j + z for j.
3
Suppose 11 = 3*p + 2. Suppose -p*v + 21 = -9. Solve -4*r - v = r for r.
-2
Suppose 21 + 4 = 5*p. Solve -p*d + 11 = 36 for d.
-5
Let l be (-1 - -5*2)*1. Let t be (-20)/(-3) + 3/9. Let m(o) = -10*o + 64. Let a be m(6). Solve l = a*h - t for h.
4
Let h = 0 + 2. Suppose 0 = t + 5*a + 1, 0*a + 7 = t - 3*a. Solve -i = -t + h for i.
2
Let v(z) = z + 12. Let g be v(-7). Solve 5*y + g = 6*y for y.
5
Let a(j) = 4*j**2 - j - 2. Let w be (2/(-5))/((-2)/(-10)). Let m be a(w). Let s(f) = -f + 9. Let x be s(6). Solve -x*k - m = k for k.
-4
Let l(w) = 6*w**2 - 2*w + 1. Let g be l(1). Suppose 4 + 1 = g*t. Solve t = o - 0 for o.
1
Let k be (2/(-6))/((-1)/15). Solve -k*g + 0*g = 0 for g.
0
Let l(q) = 5*q**2 + 4*q + q**3 + 7 - 2*q - q. Let u be l(-5). Suppose 18 = -4*p + 2, -u = d + p. Solve 0 - 8 = d*m for m.
-4
Let u(f) = -3*f - 3. Let g(d) = -2*d - 2. Let b(n) = 5*g(n) - 3*u(n). Let s be b(-2). Let i(m) = 3*m**3 - m**2 + m. Let x be i(s). Solve 12 = -t - x*t for t.
-3
Let c(i) = i**2 + 4*i - 7. Let r be c(-6). Let q(s) = -s**3 + 4*s**2 + 5*s + 2. Let f be q(5). Let z be -2 - ((f - 2) + -21). Solve r*n - 1 - z = 0 for n.
4
Let q be (0 - (-3 - -1)) + -4. Let y be (2/4 - 3)*q. Solve 0 = -5*c - 20 - y for c.
-5
Suppose 9*m + 9 = 45. Solve 0 = 4*n - 2*n + m for n.
-2
Let u be (-2 + 1)*-1*19. Suppose -4*h - 5*z = -u, -3*h + 4*z = 2*z - 20. Solve 2*a - h*a = 4 for a.
-1
Let g(k) = -k**3 - 5*k**2 - 6*k - 4. Let a be g(-4). Suppose -x = -a*x. Suppose 0 = 4*h - 3*h. Solve x = -h*j - j - 3 for j.
-3
Suppose -21 = -7*l + 42. Let r be -2 + (-1 - (3 + -9)). Solve r*o + 3 + l = 0 for o.
-4
Suppose -r - r + 4 = 0. Let q be r/(-9) + 38/9. Solve 0 = -v - q*v for v.
0
Let b(k) = -k - 8. Let x be b(-16). Solve -5*j + x = -7 for j.
3
Let v be (0 - -2) + 2 + 1. Solve 15 = -5*b - v for b.
-4
Let q = 7 + -1. Let w be 0/(4*1/(-2)). Solve 2*a - q*a = w for a.
0
Let m = 5 - 7. Let u be (-6 + 2)/(m/(-2)). Let y be 2/u + (-5)/(-2). Solve b + 6 = -y*b for b.
-2
Suppose 2*f = 4*f - 46. Let o be (-1)/4 - 54/(-24). Suppose 5*j - 55 = -4*x, -o*x = 3*j - 6*x - 1. Solve -4*u = -j + f for u.
-4
Let l(z) = -4 - 2 + 2 + 3 - 3*z. Let g be l(-7). Solve g = 4*j - 0*j for j.
5
Suppose q - 16 = -q + y, 0 = -q + 5*y + 26. Suppose -n + 4*i - 6 = -q*n, -3*n - 3*i + 6 = 0. Let u be ((-3)/n)/(6/12). Solve u*x + 2*x = -5 for x.
-1
Suppose 12 = -i - 0*i. Let s(j) = -j**3 - 11*j**2 + 12*j + 5. Let x be s(i). Solve -x*h + 13 = -7 for h.
4
Let i be 3/(0 + -3)*-2. Suppose -4*s = -3*k - 29, -3*k = 3*s + i*k. Suppose -2*g = 3*g - s. Solve 3*o + g - 13 = 0 for o.
4
Let o be (12/(-2))/((-12)/(-24)). Let q = o - -17. Solve -r = -2*r + q for r.
5
Let q = 16 - 11. Solve q*h = 15 + 10 for h.
5
Suppose 2*x = 3*w + 15 + 12, -3*x + 5*w = -41. Solve -6*h + x = -2*h for h.
3
Let f = 8 - 8. Solve -k - 5 = -f for k.
-5
Suppose 5*l = -5*w + 20, 16 = 5*l - 2*w + 6*w. Let g = 3 - 0. Solve 0 = g*v - l*v + 12 for v.
-4
Suppose -3*q + 12 = 6. Solve 0 = -q*i + 3*i - 4 for i.
4
Let n(a) = 5*a. Let o be 8*((-6)/4 + 2). Let h(p) = -p**2 + 3*p + 5. Let y be h(o). Let q be n(y). Solve -4*s + q*s = 3 for s.
3
Suppose 5*z - i = 3*i, 4*z = 5*i. Let v = z + 0. Suppose 2*x = -o - 1, v*x + 3*x + 4 = -4*o. Solve 4*h - 4 = -x for h.
1
Suppose -2*m - 6 + 2 = 0, -h - m - 1 = 0. Let b = 1 + h. Suppose 0 = -v - 5*g - 10, -b*g - 3*g = -3*v + 10. Solve v = -2*c - 3 + 1 for c.
-1
Let h(t) = t**3 + 2*t**2 - 4*t + 1. Let v(p) = p - 17. Let d be v(14). Let l be h(d). Suppose -n + 2*y = -4*n - 2, 5*n + 4 = -4*y. Solve -3*w - 5 - l = n for w.
-3
Let i = 4 - 0. Suppose -i*p = p. Suppose -13 = 2*r - 3*r - 5*b, p = -2*r + 4*b - 2. Solve r = 2*w - 7 for w.
5
Let k = 6 - 6. Solve k*t = t - 4 for t.
4
Suppose 3*a - s + 3 = -0, -12 = -a - 4*s. Suppose a = 2*v + 5*i - 31, v + 2*v - 5*i + 16 = 0. Solve v*j = -1 + 4 for j.
1
Suppose -l + 7 = 3. Suppose -u + 12 + 2 = l*f, 0 = 5*u + 10. Solve -4*o + 3*o - f = 0 for o.
-4
Let g(z) = -z**2 - 4*z - 3. Let h = 18 + -21. Let w be g(h). Let u = 1 + 1. Solve w = u*t - 0*t + 6 for t.
-3
Let g = -13 + 28. Let f(n) = -n**2 - 2*n + 4. Let h be f(-5). Let i = g + h. Solve -i*q + 3*q = 3 for q.
-3
Suppose 0 = -6*o + 26 + 16. Solve -o - 1 = -2*h for h.
4
Let t = 17 + -12. Suppose -h + 4 = -0*f - 5*f, -t*h = 2*f - 20. Solve -5 = j - f for j.
-5
Suppose 0 = 3*l + 2*w
|
{
"pile_set_name": "DM Mathematics"
}
|
805744.
2, 3, 7, 37, 467
What are the prime factors of 9971376?
2, 3, 293, 709
What are the prime factors of 744835?
5, 7, 13, 1637
List the prime factors of 2873595.
3, 5, 17, 59, 191
What are the prime factors of 658668?
2, 3, 131, 419
What are the prime factors of 3319?
3319
List the prime factors of 274937.
13, 21149
List the prime factors of 1760302.
2, 880151
What are the prime factors of 827840?
2, 5, 13, 199
What are the prime factors of 307905?
3, 5, 13, 1579
List the prime factors of 405022.
2, 313, 647
List the prime factors of 7502534.
2, 13, 288559
List the prime factors of 221926.
2, 37, 2999
What are the prime factors of 9678563?
97, 113, 883
List the prime factors of 343330.
2, 5, 13, 19, 139
What are the prime factors of 10261454?
2, 7, 421, 1741
List the prime factors of 9386607.
3, 3128869
What are the prime factors of 204448?
2, 6389
What are the prime factors of 4665071?
37, 59, 2137
List the prime factors of 13206159.
3, 19, 8581
List the prime factors of 413901.
3, 45989
What are the prime factors of 3032320?
2, 5, 23, 103
List the prime factors of 24928849.
11, 23, 98533
What are the prime factors of 1075737?
3, 13, 27583
List the prime factors of 2161953.
3, 19, 47, 269
What are the prime factors of 105840?
2, 3, 5, 7
List the prime factors of 1343160.
2, 3, 5, 7, 13, 41
List the prime factors of 4404247.
23, 53, 3613
List the prime factors of 325028.
2, 11, 83, 89
List the prime factors of 573524.
2, 7, 20483
List the prime factors of 23156065.
5, 29, 159697
What are the prime factors of 22586014?
2, 11, 631, 1627
What are the prime factors of 5493813?
3, 13, 140867
What are the prime factors of 6644436?
2, 3, 553703
List the prime factors of 4416854.
2, 13, 19, 8941
What are the prime factors of 2248771?
7, 31, 43, 241
What are the prime factors of 1268618?
2, 13, 59, 827
What are the prime factors of 18471561?
3, 6157187
What are the prime factors of 2104970?
2, 5, 7, 30071
What are the prime factors of 169037?
11, 127
List the prime factors of 1141756.
2, 7, 11, 337
What are the prime factors of 37911979?
7, 5415997
What are the prime factors of 112641?
3, 37547
List the prime factors of 10326793.
23, 41, 47, 233
What are the prime factors of 265769?
7, 37967
List the prime factors of 14409615.
3, 5, 11, 23, 3797
What are the prime factors of 3656818?
2, 11, 166219
What are the prime factors of 5152489?
787, 6547
What are the prime factors of 99592?
2, 59, 211
List the prime factors of 4447079.
7, 13, 48869
What are the prime factors of 44794?
2, 22397
List the prime factors of 13652262.
2, 3, 13, 41, 1423
List the prime factors of 6125876.
2, 1531469
What are the prime factors of 4858460?
2, 5, 242923
What are the prime factors of 94295?
5, 18859
List the prime factors of 490543.
490543
What are the prime factors of 199266?
2, 3, 33211
List the prime factors of 484362.
2, 3, 71, 379
What are the prime factors of 3744998?
2, 17, 23, 4789
What are the prime factors of 15511145?
5, 13, 127, 1879
What are the prime factors of 348224?
2, 5441
What are the prime factors of 641964?
2, 3, 61, 877
What are the prime factors of 140592?
2, 3, 29, 101
What are the prime factors of 15698116?
2, 7, 157, 3571
What are the prime factors of 2970640?
2, 5, 71, 523
What are the prime factors of 3510?
2, 3, 5, 13
List the prime factors of 194797.
131, 1487
What are the prime factors of 424772?
2, 103, 1031
List the prime factors of 5582231.
5582231
What are the prime factors of 5812931?
5812931
What are the prime factors of 830325?
3, 5, 11071
What are the prime factors of 627249?
3, 7, 17, 251
List the prime factors of 4146848.
2, 129589
What are the prime factors of 599688?
2, 3, 8329
What are the prime factors of 220118?
2, 110059
List the prime factors of 3790690.
2, 5, 19, 71, 281
List the prime factors of 3779419.
7, 137, 563
List the prime factors of 41707.
179, 233
List the prime factors of 80481.
3, 139, 193
List the prime factors of 2336261.
137, 17053
List the prime factors of 275334.
2, 3, 109, 421
What are the prime factors of 5436452?
2, 7, 27737
List the prime factors of 90234.
2, 3, 557
List the prime factors of 214713.
3, 23857
List the prime factors of 23074768.
2, 1442173
What are the prime factors of 556756?
2, 181, 769
What are the prime factors of 73384?
2, 9173
List the prime factors of 382269.
3, 127423
What are the prime factors of 451604?
2, 112901
List the prime factors of 2450004.
2, 3, 61, 3347
What are the prime factors of 1040818?
2, 520409
List the prime factors of 115473.
3, 61, 631
What are the prime factors of 7855778?
2, 7, 19, 4219
List the prime factors of 1259702.
2, 29, 37, 587
What are the prime factors of 3840864?
2, 3, 40009
What are the prime factors of 439687?
439687
What are the prime factors of 437220?
2, 3, 5, 7, 347
List the prime factors of 3680950.
2, 5, 7, 13, 809
What are the prime factors of 151216?
2, 13, 727
What are the prime factors of 143298?
2, 3, 19, 419
List the prime factors of 38595.
3, 5, 31, 83
List the prime factors of 2851159.
19, 150061
List the prime factors of 41691.
3, 13, 1069
What are the prime factors of 283316?
2, 11, 47, 137
What are the prime factors of 855892?
2, 213973
List the prime factors of 3784530.
2, 3, 5, 126151
What are the prime factors of 175834?
2, 87917
What are the prime factors of 2080129?
2080129
What are the prime factors of 4348813?
7, 621259
List the prime factors of 21263.
11, 1933
What are the prime factors of 5176037?
19, 272423
What are the prime factors of 6183625?
5, 7, 37, 191
What are the prime factors of 3142705?
5, 17, 36973
What are the prime factors of 5127773?
7, 137, 5347
What are the prime factors of 9432381?
3, 7, 449161
List the prime factors of 3034290.
2, 3, 5, 7, 14449
List the prime factors of 6086541.
3, 2028847
List the prime factors of 6614274.
2, 3, 1039, 1061
What are the prime factors of 301310?
2, 5, 29, 1039
What are the prime factors of 6573192?
2, 3, 401, 683
What are the prime factors of 4298428?
2, 1074607
List the prime factors of 25998379.
11, 47, 50287
What are the prime factors of 1145473?
7, 97, 241
What are the prime factors of 7505147?
13, 167, 3457
What are the prime factors of 1357431?
3, 331, 1367
What are the prime factors of 147501?
3, 607
What are the prime factors of 1193465?
5, 7, 13, 43, 61
What are the prime factors of 140741?
140741
What are the prime factors of 2653173?
3, 17, 17341
What are the prime factors of 2479047?
3, 826349
List the prime factors of 5589899.
7, 41, 19477
List the prime factors of 282663.
3, 19, 29
List the prime factors of 182366.
2, 91183
What are the prime factors of 824228?
2, 17, 23, 31
List the prime factors of 11489699.
13, 19, 181, 257
List the prime factors of 6558749.
23, 191, 1493
What are the prime factors of 2464288?
2, 53, 1453
What are the prime factors of 219996?
2, 3, 7, 97
List the prime factors of 288610.
2, 5, 7, 19, 31
List the prime factors of 1886513.
1886513
What are the prime factors of 836277?
3, 13, 41, 523
List the prime factors of 80491.
80491
What are the prime factors of 22291?
22291
What are the prime factors of 6560503?
6560503
What are the prime factors of 1739393?
19, 43, 2129
What are the prime factors of 766961?
13, 58997
What are the prime factors of 1831926?
2, 3, 503, 607
What are the prime factors of 896898?
2, 3, 83, 1801
List the prime factors of 159000.
2, 3, 5, 53
What are the prime factors of 3253813?
3253813
List the prime factors of 322277.
29, 11113
List the prime factors of 182175.
3, 5, 7, 347
What are the prime factors of 7877783?
17, 463399
What are the prime factors of 425882?
2, 73, 2917
What are the prime factors of 1438772?
2, 31, 41, 283
List the prime factors of 1874535.
3, 5, 13, 9613
List the prime factors of 5910171.
3, 29, 67933
What are the prime factors of 145199?
23, 59, 107
List the prime factors of 7453413.
3, 11, 79, 953
What are the prime factors of 76516?
2, 11, 37, 47
List the prime factors of 4512813.
3, 1504271
What are the prime factors of 6860036?
2, 1013, 1693
What are the prime factors of 2880367?
7, 29, 2027
List the prime factors of 17351.
17351
List the prime factors of 933936.
2, 3, 19457
List the prime factors of 7615544.
2, 951943
List the prime factors of 506265.
3, 5, 33751
|
{
"pile_set_name": "DM Mathematics"
}
|
ounded to two decimal places?
0.11
Let f = -1240.949214513 - -47.949197203. Let u = f - -1193. Round u to 5 decimal places.
-0.00002
Let z = 1914.3 + -1914.30029287. Round z to five decimal places.
-0.00029
Let c = -229 + 238.9. Let r = c + -22.5. Let i = r - -12.600074. What is i rounded to 5 decimal places?
0.00007
Let r be -2 + 40865 + ((-7)/21)/(2/18). What is r rounded to the nearest one thousand?
41000
Let h = -0.8843 - -0.8842962393. What is h rounded to seven decimal places?
-0.0000038
Let k(s) = -5*s + 101 + 4*s - 106 + 2*s**2. Let c be k(-2). Suppose c*f + 3999994 = -4*w + w, -4*f = -4*w + 3200008. What is f rounded to the nearest 100000?
-800000
Let q = -6.9 + 13.1. Let b = 505 + -503. Let t = q - b. Round t to 0 decimal places.
4
Let h = -5204792.249847 + 5204790. Let j = -2.25 - h. What is j rounded to four dps?
-0.0002
Let t be (1 + 0)/(13/533). Let v = t - 14. Suppose v*f - 29*f + 40 = 0. Round f to the nearest 100.
0
Let s = -0.48719 - -1140.51046. Let x = s - 1140. What is x rounded to 3 decimal places?
0.023
Let k(s) = s**2 + 58*s - 1055. Let w be k(47). Let b be 22559/2 + (-3)/(-6). Let q = w - b. Round q to the nearest 1000.
-7000
Suppose 2*q = -1 + 5, q = 5*b - 114553. Suppose -2*i + m + 622912 - b = 0, -300001 = -i + m. Round i to the nearest 100000.
300000
Suppose 2*f = -4*j + 10, -4*f = -2*f + 3*j - 10. Let i(m) = -2*m**2 + f*m**3 - 3*m - 283*m**3 + 3*m**2 + 2*m. Let n be i(1). Round n to the nearest ten.
-280
Let q = 542.00628 - 542. Let y = 0.02893 + q. Round y to three dps.
0.035
Let u = 51.81 + -52.58. Let m = -637134.2300087 + 637135. Let a = m + u. Round a to six dps.
-0.000009
Let f = -1.4174 + 3.5269. Round f to the nearest integer.
2
Let w = 548.08 - 466.7. What is w rounded to the nearest 10?
80
Let i = -6416.958206 + 6417. What is i rounded to four dps?
0.0418
Let h = -5656 + 5655.3512. Round h to zero decimal places.
-1
Suppose -3 = -3*i - 5*c + 11, -3*i - 2*c = -11. Suppose q + 0 = -i, 5*s - 67409 = 3*q. Round s to the nearest one thousand.
13000
Let a(j) be the second derivative of 9*j**4/4 - 13*j**3/3 + 5*j**2/2 + 2*j - 27. Let o be a(13). What is o rounded to the nearest one thousand?
4000
Let q(x) = 74 - 2930*x - 1241*x - 4723*x - 108. Let c be q(6). Let d = 18998 + c. Round d to the nearest 1000.
-34000
Suppose -3*m + 26776 + 5361 = -4*h, m - 16069 = 2*h. Let o = h - -16665. Round o to the nearest 1000.
9000
Let m = -3.489 + 2022.489. Let f = -2049.51 + m. Round f to the nearest integer.
-31
Let o be (2 - -19)*(7 - 16 - -8). Let g(p) = p - 137*p**2 - 60*p**2 + 3 + 5*p. Let v be g(o). What is v rounded to the nearest 100000?
-100000
Let x = -4330.6 - -3362. What is x rounded to the nearest 10?
-970
Let m = 4437 - 4437.00011528. Round m to 5 decimal places.
-0.00012
Let u = -218 - -176. Let t be (-8279999)/6 - u/(-252). Round t to the nearest 100000.
-1400000
Let k = 532162206 + -532162206.311098729. Let f = 0.3111 + k. Round f to seven decimal places.
0.0000013
Let y = 154 + -154. Suppose y = -s - 0*s - 3*p + 362, -1738 = -5*s + 3*p. What is s rounded to the nearest one thousand?
0
Let g = 3496.25606 + -3496. Let i = g + -0.242. Round i to three decimal places.
0.014
Let k be (-9 + 6890/40)*12*1. Suppose -4*i - 2600 = -p, -p = 4*i - 641 - k. Round p to the nearest one hundred.
2600
Let v = 30471.241 + -30522. Round v to the nearest integer.
-51
Suppose 3*b - 4*c = 9, 0*b - b = -c - 3. Let o(v) = -5*v + 5*v - 2*v + b*v + 4*v**2. Let k be o(-1). Round k to 0 decimal places.
3
Let b = 8.822 + -1794.922. What is b rounded to the nearest 10?
-1790
Let m = -237.89 + 239. Let p = m + -0.972. Let q = 0.13894 - p. What is q rounded to 4 decimal places?
0.0009
Let c(k) = 70*k**3 - 2*k**2 - 47*k - 183. Let z be c(27). What is z rounded to the nearest one hundred thousand?
1400000
Let f = 194.79 - 348.8. Let a = 0.99 - f. Let t = a + -154.927. Round t to two dps.
0.07
Let y = 818 - 1510. Let h = y - -691.8544. Round h to two decimal places.
-0.15
Let t = 1.6746 + -1.91. Let l = t + 0.653. Let b = 0.42 - l. What is b rounded to 3 decimal places?
0.002
Let v = -357 - -575. Let b = v - 218.298. Round b to 1 decimal place.
-0.3
Let q = -1.4 + 9.8. Let z = -4.9242 + -3.4746. Let g = q + z. What is g rounded to 3 decimal places?
0.001
Let b = 86 + -93.5. Let q = 4.4 + b. Let s = -3.161 - q. Round s to 2 dps.
-0.06
Let b = 17.529 - 16.85. Let a = b - -27.061. What is a rounded to the nearest integer?
28
Let g(j) = 428918*j**2 - 80*j - 12. Let v be g(-2). Round v to the nearest one hundred thousand.
1700000
Let y = 0.6643 + -0.664297394. Round y to six decimal places.
0.000003
Let d = -36352 - -192412. Round d to the nearest one thousand.
156000
Let w = -378115 + 377957.9596. Let a = 3.36 - 160.36. Let v = a - w. Round v to three decimal places.
0.04
Let t = -7715578531.0000041 + 7715578106. Let w = -425 - t. What is w rounded to six dps?
0.000004
Let h = -2.9569 - -2.95. Let z = 0.0975 - h. What is z rounded to 2 decimal places?
0.1
Let o = 101 + -227. Let g be ((-81)/6)/(3/o). What is g rounded to the nearest 100?
600
Suppose 4018571 = 4*c - 5*w, -4*c - 1871938 = 5*w - 5890519. Suppose 87356 + c = -4*f. What is f rounded to the nearest 10000?
-270000
Let d(y) = y**2 - 38*y - 83. Let h be d(40). Let s be -11312 + (-6)/h*1. What is s rounded to the nearest one thousand?
-11000
Let h = 444 - 479.7. Let u = 243.7 + h. Let m = 207.99909 - u. Round m to 3 decimal places.
-0.001
Let v(u) = -28 + 116*u - u**3 + 121*u + 14*u**2 - 235*u. Let l be v(14). Let q be (-998 + -2)*(l - 738). What is q rounded to the nearest one hundred thousand?
700000
Let j = -25721941.9053 + 25724095. Let a = j + -2153. What is a rounded to 3 dps?
0.095
Let x = 453.297 - 0.297. Let g = -452.286 + x. Round g to 1 dp.
0.7
Let g = 1658260.99313 + -0.99313. Let f = 1658260.03500085 - g. Let z = f - 0.035. What is z rounded to 7 decimal places?
0.0000009
Let w(h) = 3*h**3 - 55*h**2 - 46*h - 119. Let n be w(25). Round n to the nearest 100.
11200
Let r = -27094 + 27075.311. Round r to zero dps.
-19
Let h = -1063.91 - -1056. Let m = 0 - 9. Let t = m - h. What is t rounded to one decimal place?
-1.1
Let u = 5614.1 - 5278. Round u to the nearest one hundred.
300
Let x = -479564374962.999999658 + 479564374532. Let p = 431 + x. Round p to seven decimal places.
0.0000003
Suppose 74615*r = 74644*r + 8009771. Round r to the nearest 1000.
-276000
Let u = 1.257 + 544.743. Let k = -701140621559.999999693 + 701140621014. Let c = u + k. What is c rounded to seven dps?
0.0000003
Let k = -24.2 - -38.9. Let z = 0.0622 + -16.0622. Let g = z + k. Round g to the nearest integer.
-1
Let j = 0.0935716802 + 8.7164403798. Let z = 8.81 - j. Round z to 6 dps.
-0.000012
Let z = 4100 + -4921.9. Round z to the nearest 100.
-800
Let d = 34.64057 - 34.498. What is d rounded to two dps?
0.14
Let g = -2.629 - -2.629344. Round g to 3 decimal places.
0
Let v = 16.7 - 17.1. Let w = v + 0.39999929. What is w rounded to 6 dps?
-0.000001
Let t = -127851.6 + 127851.3099966. Let v = 5.22 - 4.93. Let o = v + t. Round o to 6 decimal places.
-0.000003
Let a = 8366.009114 - 8366. What is a rounded to 4 decimal places?
0.0091
Let z = -198 - -294. Let b = 96.0039 - z. Let s = -66.8039 + b. What is s rounded to the nearest 10?
-70
Let u = 84691944.500033 - 84692284.5. Let h = u + 340. What is h rounded to four decimal places?
0
Let d = 2.0471 - -0.0289. Let p = d + -1.46. What is p rounded to 1 decimal place?
0.6
Let h = 3689 + -3671.33. Let b = h - 20.328. What is b rounded to 1 dp?
-2.7
Let w = -58.15 + -45.35. Round w to the nearest 10.
-100
Let h(d) = -182336*d - 192. Let p be h(53). What is p rounded to the nearest 1000000?
-10000000
Let b = -57945 + 57945.98074. Let g = -460.98 + 460. Let f = g + b. Round f to four decimal places.
0.0007
Let d = 4494.22 + -4540. What is d rounded to the nearest ten?
-50
Let r = -0.32 - -86.32. Let u = -49.6 - 43.7. Let q = r + u. What is q rounded to the nearest integer?
-7
Let m = -262 - -710. Let g = m - 448.406. What is g rounded to two dps?
-0.41
Let f = -6.766 + 0.316. Let r = -3.0455 - 0.0245. Let y = f - r. What is y rounded to zero dps?
-3
Let a = 3203.081 + -3203. Let w = 78.5436 + -78.6245914. Let v = a + w. What is v rounded to five decimal places?
0
|
{
"pile_set_name": "DM Mathematics"
}
|
en 12:17 PM and 2:41 PM?
144
How many minutes are there between 4:52 PM and 6:43 PM?
111
How many minutes are there between 9:57 PM and 4:09 AM?
372
What is 374 minutes after 7:20 PM?
1:34 AM
What is 503 minutes before 8:00 AM?
11:37 PM
What is 557 minutes before 4:34 AM?
7:17 PM
What is 639 minutes after 7:33 PM?
6:12 AM
How many minutes are there between 12:57 PM and 7:35 PM?
398
What is 560 minutes before 9:29 AM?
12:09 AM
What is 19 minutes before 7:37 PM?
7:18 PM
What is 255 minutes after 5:11 PM?
9:26 PM
How many minutes are there between 2:27 AM and 6:25 AM?
238
How many minutes are there between 1:05 AM and 1:16 AM?
11
What is 63 minutes before 12:00 PM?
10:57 AM
How many minutes are there between 1:59 PM and 1:39 AM?
700
How many minutes are there between 12:32 PM and 5:15 PM?
283
What is 328 minutes after 8:06 AM?
1:34 PM
How many minutes are there between 8:05 PM and 5:38 AM?
573
How many minutes are there between 6:10 PM and 7:51 PM?
101
How many minutes are there between 11:02 AM and 10:49 PM?
707
What is 374 minutes before 9:43 PM?
3:29 PM
What is 535 minutes after 2:42 PM?
11:37 PM
How many minutes are there between 11:10 PM and 10:35 AM?
685
What is 236 minutes before 2:01 PM?
10:05 AM
How many minutes are there between 9:10 PM and 11:55 PM?
165
What is 572 minutes after 11:23 AM?
8:55 PM
How many minutes are there between 2:35 PM and 3:15 PM?
40
How many minutes are there between 12:18 AM and 12:28 AM?
10
How many minutes are there between 6:44 PM and 1:40 AM?
416
What is 360 minutes before 5:07 PM?
11:07 AM
What is 709 minutes after 8:22 AM?
8:11 PM
How many minutes are there between 7:03 PM and 6:52 AM?
709
What is 444 minutes after 3:59 PM?
11:23 PM
How many minutes are there between 12:47 PM and 1:23 PM?
36
What is 310 minutes after 2:50 AM?
8:00 AM
How many minutes are there between 5:46 PM and 10:06 PM?
260
What is 231 minutes before 4:36 PM?
12:45 PM
What is 303 minutes before 7:14 AM?
2:11 AM
What is 62 minutes before 10:31 AM?
9:29 AM
What is 186 minutes after 8:22 AM?
11:28 AM
How many minutes are there between 2:20 PM and 1:39 AM?
679
How many minutes are there between 4:46 AM and 11:36 AM?
410
How many minutes are there between 12:57 AM and 9:13 AM?
496
How many minutes are there between 8:15 PM and 7:54 AM?
699
How many minutes are there between 7:02 PM and 2:21 AM?
439
What is 482 minutes after 11:34 PM?
7:36 AM
What is 266 minutes after 7:34 PM?
12:00 AM
How many minutes are there between 3:53 PM and 5:00 PM?
67
How many minutes are there between 9:14 AM and 1:20 PM?
246
What is 374 minutes before 1:25 PM?
7:11 AM
What is 517 minutes before 3:02 PM?
6:25 AM
What is 468 minutes before 4:54 AM?
9:06 PM
What is 264 minutes before 5:06 PM?
12:42 PM
How many minutes are there between 3:02 AM and 9:13 AM?
371
What is 148 minutes before 5:24 PM?
2:56 PM
What is 27 minutes before 4:29 PM?
4:02 PM
What is 719 minutes before 7:13 PM?
7:14 AM
How many minutes are there between 7:33 PM and 3:06 AM?
453
How many minutes are there between 12:28 PM and 12:39 PM?
11
What is 158 minutes after 3:09 PM?
5:47 PM
What is 207 minutes before 4:49 AM?
1:22 AM
How many minutes are there between 3:02 PM and 12:40 AM?
578
How many minutes are there between 3:03 AM and 8:47 AM?
344
How many minutes are there between 6:18 AM and 4:28 PM?
610
What is 203 minutes before 11:10 AM?
7:47 AM
What is 117 minutes after 4:25 PM?
6:22 PM
What is 302 minutes before 1:10 AM?
8:08 PM
What is 63 minutes after 8:39 PM?
9:42 PM
What is 488 minutes after 3:06 PM?
11:14 PM
What is 493 minutes after 4:24 AM?
12:37 PM
What is 303 minutes before 12:07 PM?
7:04 AM
How many minutes are there between 3:06 PM and 9:34 PM?
388
What is 289 minutes before 9:14 PM?
4:25 PM
What is 39 minutes before 8:44 PM?
8:05 PM
What is 482 minutes after 8:31 AM?
4:33 PM
What is 186 minutes after 12:22 AM?
3:28 AM
What is 260 minutes before 9:10 PM?
4:50 PM
What is 591 minutes after 2:44 PM?
12:35 AM
How many minutes are there between 2:16 AM and 5:27 AM?
191
What is 50 minutes after 8:59 AM?
9:49 AM
How many minutes are there between 11:21 AM and 11:09 PM?
708
How many minutes are there between 12:44 PM and 8:27 PM?
463
How many minutes are there between 12:05 AM and 10:52 AM?
647
How many minutes are there between 5:59 AM and 1:33 PM?
454
How many minutes are there between 10:14 PM and 3:24 AM?
310
How many minutes are there between 3:03 PM and 3:15 PM?
12
What is 289 minutes after 8:33 AM?
1:22 PM
How many minutes are there between 5:22 PM and 10:08 PM?
286
How many minutes are there between 6:50 PM and 7:57 PM?
67
What is 27 minutes after 6:24 PM?
6:51 PM
What is 418 minutes before 9:50 AM?
2:52 AM
What is 616 minutes before 2:21 AM?
4:05 PM
How many minutes are there between 9:27 PM and 9:41 PM?
14
What is 470 minutes after 8:05 PM?
3:55 AM
How many minutes are there between 10:43 PM and 10:32 AM?
709
How many minutes are there between 3:57 AM and 6:13 AM?
136
How many minutes are there between 1:32 PM and 6:37 PM?
305
What is 251 minutes after 1:50 PM?
6:01 PM
What is 344 minutes before 8:07 PM?
2:23 PM
How many minutes are there between 2:27 AM and 10:00 AM?
453
What is 153 minutes before 5:08 AM?
2:35 AM
What is 399 minutes before 8:24 PM?
1:45 PM
What is 156 minutes before 5:08 AM?
2:32 AM
What is 657 minutes before 2:13 PM?
3:16 AM
How many minutes are there between 12:50 AM and 7:18 AM?
388
What is 501 minutes before 10:36 AM?
2:15 AM
How many minutes are there between 11:45 PM and 4:49 AM?
304
How many minutes are there between 4:24 AM and 1:44 PM?
560
What is 252 minutes after 12:38 PM?
4:50 PM
How many minutes are there between 5:07 AM and 10:28 AM?
321
How many minutes are there between 2:04 AM and 2:18 AM?
14
What is 166 minutes before 9:37 AM?
6:51 AM
How many minutes are there between 5:26 AM and 10:12 AM?
286
How many minutes are there between 5:02 PM and 4:29 AM?
687
What is 101 minutes before 9:28 PM?
7:47 PM
How many minutes are there between 9:42 AM and 3:19 PM?
337
What is 315 minutes after 9:09 PM?
2:24 AM
How many minutes are there between 12:43 PM and 7:31 PM?
408
How many minutes are there between 3:13 PM and 1:44 AM?
631
How many minutes are there between 11:36 AM and 1:52 PM?
136
What is 458 minutes before 10:53 PM?
3:15 PM
How many minutes are there between 5:09 AM and 7:34 AM?
145
How many minutes are there between 9:33 AM and 5:41 PM?
488
How many minutes are there between 11:14 PM and 9:37 AM?
623
How many minutes are there between 5:10 PM and 6:06 PM?
56
How many minutes are there between 3:49 PM and 10:59 PM?
430
How many minutes are there between 2:24 AM and 5:25 AM?
181
How many minutes are there between 10:08 AM and 10:17 AM?
9
How many minutes are there between 9:37 AM and 12:15 PM?
158
What is 51 minutes before 2:21 PM?
1:30 PM
What is 279 minutes after 9:50 AM?
2:29 PM
How many minutes are there between 10:19 PM and 5:29 AM?
430
How many minutes are there between 9:39 AM and 9:19 PM?
700
What is 160 minutes after 2:42 PM?
5:22 PM
What is 217 minutes before 11:23 AM?
7:46 AM
What is 490 minutes after 10:08 AM?
6:18 PM
How many minutes are there between 8:06 AM and 8:42 AM?
36
How many minutes are there between 2:17 AM and 7:40 AM?
323
What is 679 minutes before 8:15 PM?
8:56 AM
How many minutes are there between 11:28 PM and 9:10 AM?
582
How many minutes are there between 5:31 PM and 9:35 PM?
244
How many minutes are there between 8:25 PM and 6:06 AM?
581
How many minutes are there between 12:25 AM and 7:58 AM?
453
How many minutes are there between 10:57 PM and 5:10 AM?
373
What is 279 minutes before 7:04 AM?
2:25 AM
How many minutes are there between 5:06 PM and 2:09 AM?
543
How many minutes are there between 11:33 AM and 12:22 PM?
49
What is 35 minutes before 1:17 AM?
12:42 AM
How many minutes are there between 10:11 PM and 12:30 AM?
139
What is 166 minutes after 4:32 PM?
7:18 PM
How many minutes are there between 11:46 AM and 12:34 PM?
48
What is 44 minutes after 3:04 AM?
3:48 AM
What is 69 minutes after 5:05 PM?
6:14 PM
How many minutes are there between 2:52 PM and 8:07 PM?
315
What is 678 minutes before 8:04 AM?
8:46 PM
What is 704 minutes before 7:05 AM?
7:21 PM
How many minutes are there between 3:21 AM and 6:36 AM?
195
How many
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{
"pile_set_name": "DM Mathematics"
}
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st to 1/5 in n, 3, -74?
3
Suppose -25*d - 87 - 56 + 43 = 0. Which is the nearest to 0? (a) -4/5 (b) 0.45 (c) d
b
Let v = 2.1291 + -2.2291. Which is the closest to 1? (a) -93 (b) 2/3 (c) v (d) 0.4
b
Let i = -59 + 60. Let n = 83 - 83.5. Which is the closest to i? (a) n (b) 5 (c) 0
c
Let a be (-22)/14 + (15 - (-808)/(-56)). What is the closest to a in -1/2, -8, -5?
-1/2
Let o = 72831 + -72839. Let l = 10.7 - 11. Which is the closest to l? (a) 5 (b) 3 (c) o (d) 2
d
Suppose 0 = -3*o - 24*o. Which is the closest to 6? (a) 5 (b) o (c) 3.6 (d) 2
a
Let x = 0.06961 + -1.06961. Which is the closest to 0.1? (a) -3 (b) x (c) -118 (d) -1/7
d
Let u = 0.011 + -0.011. Let c be 16/14*1855/(-4770). What is the closest to 2/5 in u, c, -1/3?
u
Let k = -259.077 - -259. Let p = 0.177 + k. Which is the nearest to p? (a) -1/5 (b) -11 (c) 1
a
Suppose 6 + 26 - 5 = 9*y. What is the nearest to y in 1, 118, 2/7?
1
Let u = 8010 - 8014. What is the closest to 0 in -1272, 1/4, u?
1/4
Let g = -1.9423 + 2.1423. Which is the closest to 6? (a) 8 (b) -3 (c) 1 (d) g
a
Let q be (-1)/((-26)/(-4))*845/(-260). Let u = 1 + -1.03. Let t = 38 - 38. What is the closest to t in 1, u, q?
u
Let g = 98654 + -98651. Let y = 0.6 - 0.5. Which is the nearest to y? (a) 1/10 (b) 3/4 (c) g (d) -2/3
a
Let d be (-11)/(-22) + 433/40. Let p = 56/5 - d. Let k = -5 - -4. Which is the nearest to 0.2? (a) 1 (b) p (c) k
b
Let m = 6.79066 + 0.20934. Which is the nearest to -1/19? (a) -3 (b) m (c) -1/11
c
Let m = 20 + -21. Let x(o) be the first derivative of o**4/4 + o**3 - 19*o**2/2 - 3*o - 2. Let y be x(-6). Which is the nearest to y? (a) 5/6 (b) 6/7 (c) m
b
Let k = 19/2 + -9. Let x = 2678.3 + -2678. Which is the nearest to k? (a) -0.1 (b) x (c) -2/7
b
Suppose 4*f + 306*f + 146 = -164. What is the nearest to 2/7 in -1/24, 3, f, 0.2?
0.2
Let k be 3/9 + 2/12. Let u = 0.017492 - 0.117492. Which is the closest to -1? (a) -2/15 (b) u (c) 33 (d) k
a
Let n = -274.7 + 275.1. What is the nearest to 5 in n, -1/2, -2/7, 0.3?
n
Let v = -2672 - -2672. Which is the closest to 4? (a) 0.1 (b) 4 (c) v
b
Suppose r = -r. Let v = 75 + -89. Let d = -0.169 + -0.031. Which is the nearest to r? (a) -2 (b) d (c) v
b
Let t = -143 + 146. Let o be 110/(-5) - -2*3/t. Let g be -2 - 1 - (-21)/12. Which is the nearest to 2/5? (a) 1/2 (b) o (c) g
a
Let b = 0.412 - 1.362. What is the nearest to -2 in 3/2, -1/4, b, 0.2?
b
Let f be 1*(-8)/12 + (-20 - -20) - -2. Let s = 2089/7 + -299. What is the nearest to 8 in f, s, 0.01, 0.5?
f
Let a = 29/553 + -1251/2765. Let n be 16/(-24) - 376/3. What is the closest to -0.1 in -4, n, a, 2?
a
Let z = -1 + 1.4. Let d = 0.4 - z. Let b = 0.11892 - -1.88108. What is the closest to 0.1 in b, 7, d?
d
Let s = 2685 - 2684.9. What is the closest to s in 0.5, -2/9, -1, 9/5?
-2/9
Let z = -6 + 1. Let x = -155366 + 155366.1. Which is the nearest to x? (a) z (b) -3/8 (c) 4
b
Let r be (-3)/(-5) - (-51)/15. Let n be (1*(0 + -3))/(r/1). Let x = 3 - 2.5. Which is the closest to -1/2? (a) n (b) 0 (c) x
a
Let q be 3/(-18) + (-11)/6. Let k = -25909/77709 - -2/25903. What is the nearest to 2/9 in q, k, 8?
k
Let l(t) = 2*t**2 - 9*t + 35. Let b be l(4). Let q = -2 - b. What is the nearest to -2/7 in q, 2/5, -2?
2/5
Let t = 233 + -163. Let d = -67 + t. What is the closest to 1 in -5, 0.2, d?
0.2
Suppose 4*n = -54*k + 56*k - 34, -29 = 2*k + 5*n. Let v = 8 + -16. Let u be (-2)/10*5/v. Which is the closest to k? (a) -4 (b) u (c) 1/3
c
Let l = 0.4 + -0.4. Let u = 30583 - 30597. What is the nearest to u in -3, 0.3, l?
-3
Let g = 1839.1 - 1839. Which is the nearest to 0.2? (a) -2 (b) 3 (c) -11/2 (d) g
d
Let m = -0.4 + 0.49. Let y = 105 + 355. Let j = y + -461. Which is the nearest to -2? (a) j (b) -1/4 (c) m
a
Let f = -4.7 + 12.5. Let a = f - 2.8. What is the closest to 0 in 4, a, 1/7?
1/7
Suppose -18 = -u - 6*t + t, 0 = -2*t + 8. Let f(b) = b + 22. Let k be f(-20). Let a be (k/5)/((-134)/30 - -5). What is the nearest to a in -4, u, 2/3?
2/3
Suppose 5 = x, -4*i + i - 4*x = -176. Suppose -12*d + i = d. What is the nearest to 1 in d, -2/5, 1/2?
1/2
Let g = 48 - 48. Let v = 11.181 + -15.181. What is the nearest to g in -6, -3, 2/7, v?
2/7
Let m(h) = -h**3 + 5*h**2 + 6*h - 1. Let k be m(6). Let u be ((-2)/28)/(16/32). Let l = 2787 - 2782. Which is the closest to k? (a) -0.4 (b) u (c) l
a
Let r be 81/6*(-2 + 4). Suppose x = h - 3*h + 9, 5*h = -4*x + r. Which is the nearest to -1? (a) x (b) 9 (c) 0.1
c
Let t = 3.14531 - 0.14531. What is the closest to 0.1 in 5, -3/101, t?
-3/101
Let q be (176/56)/((8/(-28))/2). Let z be (-11)/(-33)*q - 2/3. What is the closest to -0.2 in -1/7, 3, z, -4?
-1/7
Let n be 2090/396 + 1/(-2) + -5. Suppose -3*f + 4*f = 0. Which is the nearest to 0? (a) -5 (b) n (c) f
c
Let m = -5648 + 5647.7. What is the nearest to 0.1 in -5, m, 1.2, -4?
m
Let f(z) = -40*z + 93. Let l be f(12). Let p = 386 + l. Which is the nearest to -0.2? (a) -2/17 (b) p (c) 2/7 (d) 3
a
Let i be (-4)/(-54)*-3 + 65/(-315). What is the closest to 2/17 in i, 2, -0.11, -5?
-0.11
Let s be 6 + 23712/33 + 1. Let k = s - 725. Which is the closest to -0.1? (a) k (b) -8 (c) 0.7
a
Let h = 2.164 + -2.464. Let z(r) = -r**2 + r + 1. Let p be z(3). Which is the nearest to h? (a) -3/2 (b) p (c) 1
a
Let q = 1277958/5 + -255591. Let t = 1.3 + -0.3. What is the nearest to t in 2, q, -1?
q
Let i = 1458084/155 - 9407. Which is the closest to i? (a) 1/4 (b) 1/2 (c) -2
a
Let j = -0.1093 + -0.8907. Which is the closest to -0.1? (a) 0.3 (b) 0.4 (c) j (d) -2/9
d
Let k = -3.4 - 0.6. Let a = -14222.6 - -14223. What is the nearest to 2 in -5, k, a?
a
Let x = 15 - 9. Let u be (2/(-8))/(3/x). Let r = -3973/3 + 2649/2. Which is the closest to u? (a) 4/9 (b) 5/2 (c) r
c
Let v = -1288.9 + 1289. What is the closest to 0.2 in -63, v, -3?
v
Let z = -4.2719 + 0.2719. Which is the closest to 28? (a) 4 (b) 2/9 (c) z (d) 5
d
Let s = -0.3 - -0.1. Let c = 328 - 164. Suppose 5*w = -149 + c. What is the closest to w in 2/3, 4, s?
4
Let y = 369/5 + -693/10. Which is the closest to 1? (a) 0 (b) 0.4 (c) y (d) 3/10
b
Let j = 2.27 - -0.13. Let c = 0.6 + j. Let u be (101/(-9) - 182/(-819)) + 7. What is the closest to -1 in u, c, 1/5?
1/5
Let z = 4.3 - 0.3. Let w be (0 - 145/21) + 20/(-210). Let a(i) = -4*i**2 - 28*i + 1. Let x be a(w). What is the closest to 2 in -0.1, x, z?
x
Let w = 373.3 - -72.7. Let j = w + -438. Let u = 18 + -71/4. Which is the closest to j? (a) u (b) 2 (c) -3
b
Let v = -3 - -2. Let m = 124360 - 124359.9. Which is the nearest to v? (a) -4/53 (b) m (c) -2/5
c
Let x = -3.95 - 0.05. Let i be 8/(-12)*((-279)/126 - -2). What is the closest to 0.02 in i, -2/7, x?
i
Let i = 8964/98483 + -1/8953. What is the nearest to -0.09 in i, 0, 2/3, -0.5?
0
Let g be (-34)/68 + 2/12. Let p = 0.24 - 0.14. What is the nearest to p in g, 1, -4/7?
g
Let d = 2.8278 - 4.8278. Let s be 3 - (3 - 2/(-5)). Which is the nearest to s? (a) d (b) 0.15 (c) -4
b
Let s = 24135 - 24135.1. What is the nearest to 9 in s, 5, 86, -4?
5
Let s(p) = -p**2 + p + 4. Suppose 4 - 1 = -m. Let o be s(m). Let w be (-2)/o*(-3 + -1 - -1). Which is the closest to 4? (a) 1 (b) -2 (c) w
a
Let s = 0.03325 - -1.36675. Let o = 2.8 - 2.6. What is the nearest to 0 in s, -5, o, -1/7?
-1/7
Let f = -189 - -64. Let x = -126 - f. What is the nearest to -0.2 in -1/4, 3, x?
-1/4
Let q be -5 - (594/90 + -12). Let p be (-2)/6*(-6)/(-8). What is the closest to 2 in -4, q, p?
q
Suppose -48*u - 70*u + 118 = 0. Which is the nearest to u? (a) -6/11 (b) -0.2 (c) -2 (d) -1
b
Suppose -37 = 3*t - 5*r, 5*t - 4*t - 26 = -6*r. What is the nearest to -2 in -2/5, -43, t?
-2/5
Let q = 80437/4 + -20110. What is the closest to -7/6 in -0.9, q, -8, -0.4?
-0.9
Let w be -9 + 430/50 + 140/225. Which is the closest to -20? (a) w (b) 2 (c) 0.5 (d) 0.3
a
Let u = 5.3 + -7.3. Let y = 0.525 + -0.025. Which is the closest to -2/3? (a) 0.02 (b) u (c) y
a
Let y = 0.9 - 1. Let b = 1121 + -1120.284. Let w = b + -0.716. What is the closest to 1/2 in w, y, -2?
w
Let b = 0.1432 - 0.0432. Let p = -85/12 + 79/12. What is the nearest to p in 0.5, b, 2/3, -5?
b
Let p = -9307.5 + 9307. Which is the closest to -2/9? (a) p (b) -1 (c) 1.408 (d) 2/9
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{
"pile_set_name": "DM Mathematics"
}
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x and 16?
4
Let a(z) = -z**2 - 17*z - 14. Let v be a(-16). Suppose -4*f + 4*i + 0*i = -52, -2*f - v*i = -22. Let k = -8 + f. What is the highest common divisor of k and 8?
4
Let i(t) = 5*t + 4. Let p = 18 - 22. Let x be i(p). Let q = -13 - x. What is the greatest common divisor of q and 33?
3
Suppose -5*p + 10 = 0, -19*p = -2*j - 17*p + 2372. Calculate the greatest common divisor of j and 9.
9
Let h be (-4)/(28/8 + -4). Suppose -20 = 6*u - h*u. Suppose -i + u = -2. What is the greatest common factor of i and 30?
6
Let y(n) = -n**2 + 2*n - 1. Let c be y(1). Let j be c - ((-6 - -3) + 3). Suppose j*s + s - 28 = 0. Calculate the greatest common divisor of 70 and s.
14
Let v be 2 - 6 - (-744)/31. Suppose 2*n = 4*n + 38. Let y = n + v. What is the greatest common divisor of y and 1?
1
Suppose -j = -4*d - 40, 2*d = -4*j + d + 75. What is the highest common factor of j and 100?
20
Suppose 0 = 3*y + q - 411, q + 686 = 5*y + 3*q. Calculate the highest common factor of 40 and y.
8
Suppose 2*y + 2*p - 80 = 0, 5*p + 52 = y - 0*y. What is the greatest common divisor of y and 14?
14
Let u(i) = 2*i + 4. Let f be u(-1). Suppose -f*c = 2*d - 438, -6*c + 2*c = -3*d + 664. Calculate the greatest common divisor of d and 20.
20
Let d be (-36)/(-48) + (-3)/4. Suppose -4*m + u + 5 = d, 36 = -2*m - 5*u + 11. Suppose -2*f - 2*f + 40 = m. What is the greatest common factor of f and 4?
2
Suppose 0 = -9*c + 10*c - 4. Suppose 5*d = c*p + 3 - 21, 0 = 4*p + 3*d - 34. What is the greatest common divisor of p and 56?
7
Suppose 2 = -s - 3*o, 3*s + 16 = 2*o - o. Let t(q) = -1 + 2 - 5 - 2*q. Let g be t(s). Calculate the greatest common divisor of g and 30.
6
Let p be ((-144)/(-324))/(2/171). Calculate the highest common divisor of 475 and p.
19
Let q be 2/((1/1)/23). Suppose 4*b - 1960 = -6*b. Let z = -127 + b. What is the greatest common factor of z and q?
23
Suppose 2*r - 30 = 96. Let c be r/18*8/14. Calculate the greatest common factor of 16 and c.
2
Let h be 28 - -1 - (6 - 7). Suppose 5*d - 20 = 0, 2*d = -3*o + 6*d + 119. Calculate the highest common divisor of o and h.
15
Suppose -95*j = -60*j - 1120. Calculate the greatest common divisor of j and 4.
4
Let g = 437 - 120. Suppose 4*x - g = -93. Let a = -13 + 20. Calculate the highest common factor of x and a.
7
Let s(l) = -l**3 + 8*l**2 - 4*l. Let d be s(5). Let w(m) = m**3 + 18*m**2 + 16*m - 12. Let u be w(-17). Calculate the greatest common factor of u and d.
5
Suppose 1 = s + 2. Let d be -1*(-2)/(-1) - (10 - 10). Let m be (-34)/s - (6 + d). What is the highest common factor of 75 and m?
15
Let o be (164/(-3))/(((-140)/21)/10). Let h = 128 - o. Calculate the greatest common factor of 184 and h.
46
Suppose h = -4*h + 25. Suppose w = 19 - 1. Let p be 10*(-42)/4*(-6)/w. Calculate the greatest common factor of p and h.
5
Suppose 0*c - 9 = -h - 3*c, -4*h = -5*c - 70. Suppose 2*k = -o + h, 4*k = k + o + 25. Let z = -25 - -57. What is the greatest common factor of k and z?
8
Let a = -17 - -18. Let b(m) = 7*m**3 + m**2 - m + 1. Let y be b(a). Suppose 3*r - 4*r = -y. Calculate the greatest common divisor of r and 24.
8
Suppose 37*z + 873 = 46*z. Calculate the greatest common factor of z and 679.
97
Suppose -33 - 23 = -2*z. Calculate the greatest common factor of 20 and z.
4
Let f be 8/2*4/(32/10). Suppose 3*o + 5*u - 64 = o, f*u = 2*o - 24. Calculate the greatest common divisor of 11 and o.
11
Suppose 67 = p - c + 5*c, 0 = 4*p - 2*c - 358. What is the greatest common divisor of p and 58?
29
Let l be ((-5)/3)/(6/((-972)/45)). Let d be 1/(-2) + (-6)/4. Let j be (-8)/(-2) - (d - l). What is the greatest common factor of j and 12?
12
Suppose -12982 = 16*h - 34886. Calculate the highest common divisor of 37 and h.
37
Suppose 4*o = 3*f - 9, 5*f - 3*o = -o + 29. What is the greatest common factor of 189 and f?
7
Suppose 0*m + 5*u + 9 = 2*m, -2*u = -m + 4. Suppose 20 = -m*q + 8. Let p be 86/11 + q/(-33). What is the highest common factor of p and 56?
8
Suppose 0 = -0*w - 3*w + 15. Let p be ((-1)/3)/(w/(-480)*2). What is the greatest common divisor of p and 72?
8
Let z(v) = -v + 10. Let o be z(10). Suppose -a - k - 46 = o, -4*k - 146 = 3*a - 3*k. Let p = a + 90. Calculate the highest common divisor of p and 8.
8
Let c be (-13)/(-4) + (-1)/4. Suppose l = 4*v - 117, -4*v + 17*l = 18*l - 123. What is the highest common divisor of c and v?
3
Let m(c) = c**2 - 6*c - 11. Let w be m(8). Suppose -w*y + 2*y + 51 = 0. Calculate the highest common factor of 34 and y.
17
Let z(i) = i**2 + 5*i + 2. Let t be z(-5). Suppose 0 = 5*d + 25, 29 = 2*k - t*d - 9. Calculate the greatest common factor of 7 and k.
7
Let q be 3/(6/8)*9. Suppose -5*x - 58 = -5*n - 53, 12 = 4*x. What is the greatest common factor of q and n?
4
Let g(k) = -10*k + 10*k - 81*k. Let s be g(-1). Calculate the greatest common divisor of 9 and s.
9
Let u(l) = -79*l - 84. Let z be u(-6). What is the greatest common factor of 30 and z?
30
Suppose -6*h = -2*h - 224. Suppose 18*o + 4*i + 48 = 22*o, 0 = -3*o - 4*i + 1. What is the highest common divisor of h and o?
7
Suppose -5*w = 1 - 91. Suppose -4*y = 5*u - w, -y + 1 = -3*u + 5. Suppose u*v + 2 = 5*k - 73, v = 2*k - 31. Calculate the highest common divisor of k and 104.
13
Suppose 0 = z - 4*z + 216. Suppose 5*u + 3*j + 10 + 8 = 0, -5*u - 17 = 2*j. Let f be 2 + u - (-1 - 9). Calculate the greatest common factor of f and z.
9
Suppose 6*s - s - 220 = 0. Let d be (3*s/12)/1. Suppose 4*h = -h + 55. Calculate the greatest common factor of h and d.
11
Let a(k) be the first derivative of -k**4/4 + 3*k**2 - 4*k + 2. Let s be a(-5). Calculate the highest common divisor of s and 13.
13
Suppose -772*b + 773*b = 15. What is the highest common factor of b and 60?
15
Suppose 7*h + 983 = 9012. Calculate the highest common divisor of h and 31.
31
Let g be ((-22)/8)/(6/(-48)). Let s = 107 - 19. Calculate the greatest common factor of s and g.
22
Let m(f) be the second derivative of f**4/6 - f**3/6 - f**2/2 - 11*f. Let d be m(-3). What is the greatest common divisor of d and 40?
20
Suppose -417*y + 441*y = 4368. Calculate the greatest common divisor of y and 1365.
91
Suppose -98 = 9*o - 467. Calculate the greatest common divisor of 1 and o.
1
Let x(d) = -d**3 + 1. Let a(o) = -4*o**3 - 13*o**2 - o + 10. Let m(z) = a(z) - 3*x(z). Let g be m(-13). Calculate the greatest common divisor of g and 10.
10
Suppose -2*s - 4*m = -16, -6 = 3*s - 4*m - 0*m. Let u = -53 - -67. Calculate the highest common factor of s and u.
2
Suppose -2*b = 292 - 306. Calculate the greatest common factor of 161 and b.
7
Let c = -215 - -343. Let m be 1 - -1 - (-20)/10. Suppose -120 = -m*l - 4*b, 0*l + l = b + 34. What is the greatest common divisor of l and c?
32
Let n(z) = z**2 + 3*z + 10. Suppose -12 - 16 = 7*t. Let h be n(t). Calculate the highest common divisor of h and 56.
14
Let k(m) = -m**3 + 7*m**2 + 13*m + 26. Let w be k(8). What is the highest common divisor of w and 297?
33
Suppose o = 3*o - 12. Let l = 0 + 7. Suppose -6*a = -5 - l. Calculate the highest common divisor of a and o.
2
Let b be 4 + -4 + -2 + 5. Let t be 1 + -1 - 102/(-9)*b. What is the greatest common factor of t and 102?
34
Suppose -5*d + 33 + 67 = 0. Let l be ((-375)/d)/(3/(-36)). Calculate the greatest common divisor of l and 25.
25
Let d = -80 + 85. Suppose -3*k + 3*g + d = -2*k, 3*g + 37 = 5*k. Let x = 5 + -4. What is the highest common factor of x and k?
1
Suppose 5*f - 2*n = 723, -f - 4*n = -63 - 64. Calculate the greatest common factor of 13 and f.
13
Let j = 146 - 64. Suppose 0 = -5*f + 3*g + j, -25 = -3*f + 5*g + 37. What is the highest common divisor of 56 and f?
14
Let a = -181 + 206. What is the highest common factor of a and 800?
25
Suppose 452*c - 446*c - 1140 = 0. What is the highest common factor of 40 and c?
10
Let c be 701/4 + (-60)/(-80). What is the greatest common divisor of c and 32?
16
Let r(a) = -8*a**2 - 3*a + 3*a**2 - 3*a + 6*a**2. Let p be r(6). Suppose p = 4*j + 43 - 811. Calculate the highest common divisor of 24 and j.
24
Suppose -4*p = -2*p - 14. Suppose p*i - 14 = 84. Calculate the greatest common factor of i and 35.
7
Suppose -20*y + 30785 = 9345. What is the greatest common factor of y and 8?
8
Let y be 5 + 0 + 1/(-1). Suppose y*c + 0*c - 8 = 0. Suppose -6 - 16 = -c*m. What is t
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{
"pile_set_name": "DM Mathematics"
}
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+ 5*b - 5. Let a(w) = -5*w**2 + 4*w - 4. Calculate u*s(j) + 7*a(j).
j**2 - 2*j + 2
Let n(w) = w**3 + 4*w**2 + w. Let o(s) = 1 - 5 + 7*s**3 - s - 8*s**3 - 5*s**2 + 5. What is 5*n(d) + 4*o(d)?
d**3 + d + 4
Let z(d) = 4*d**2 - 5*d - 63. Let j(m) = 2*m**2 - 2*m - 30. Determine -5*j(f) + 2*z(f).
-2*f**2 + 24
Let o(n) = 5*n - 8. Suppose 0*s + 6*s - 6 = 0. Let f(u) = -1. Let t(q) = s*o(q) - 6*f(q). Let i(c) = 4*c + c - 6*c. Calculate 3*i(y) + t(y).
2*y - 2
Let l(t) = 14*t**3 - 6*t**2 - 4. Let x(f) = -f**3 + f**2 + 1. Let u be 2/4*3 + 330/(-132). What is u*l(m) - 5*x(m)?
-9*m**3 + m**2 - 1
Let c(s) = 4*s - 5. Suppose 0 = -a - 15 + 48. Let x = 35 - a. Let o(i) = -i + 1. Calculate x*c(f) + 9*o(f).
-f - 1
Let v(z) be the first derivative of z**2/2 - 546. Let h(s) = -2*s**2 + 10*s. Determine -h(a) + 4*v(a).
2*a**2 - 6*a
Let s(n) be the first derivative of -3*n**2/2 + 3*n + 91. Let i(k) = k. Determine -4*i(z) - s(z).
-z - 3
Let q(x) = x - 5. Let n(j) = j - 63. Determine -n(h) + 6*q(h).
5*h + 33
Let z(w) = -1. Let b(o) be the third derivative of o**6/90 + o**4/6 - 5*o**3/6 - 19*o**2. Let h(n) be the first derivative of b(n). Determine -h(g) - 5*z(g).
-4*g**2 + 1
Let b(o) = o**2 + o. Let v(d) = 16*d**2 + 6*d + 2. Give -5*b(k) + v(k).
11*k**2 + k + 2
Suppose 3*f - 5*r + 2*r = 9, -2*f + 20 = 5*r. Let z(m) = -m**3 + 5. Let n(i) = 2 - 6 - 1. Let v(j) = 9. Let q(g) = -11*n(g) - 6*v(g). Determine f*q(b) - z(b).
b**3
Let c(x) = -296*x**2 + 6*x - 1. Let t(m) = -1778*m**2 + 34*m - 6. Determine 34*c(l) - 6*t(l).
604*l**2 + 2
Let l(t) be the first derivative of 13*t**2/2 + 5*t - 9. Suppose -3*w = -2*m + 7, -8 = -3*m - 20. Let f(o) = -6*o - 2. Give w*f(i) - 2*l(i).
4*i
Suppose 0 = g + 12 - 10, -4*g = 4*l + 40. Let o(t) = -17*t**2 - 4*t. Let v(x) = -11*x**2 - 3*x. Determine l*v(r) + 5*o(r).
3*r**2 + 4*r
Let d = 5 + 0. Let q(o) = d - 2*o**2 - 2*o**2 - 5*o**2. Let n(u) be the first derivative of -14*u**3/3 + 8*u - 155. What is 5*n(c) - 8*q(c)?
2*c**2
Let j(r) = -17*r**3 + 22*r**2 - 13*r - 7. Let m(o) = -8*o**3 + 11*o**2 - 6*o - 3. What is -4*j(t) + 9*m(t)?
-4*t**3 + 11*t**2 - 2*t + 1
Let w(c) = -26*c**2 - c - 6. Let n(h) = 24*h**2 + h + 5. Calculate 6*n(v) + 5*w(v).
14*v**2 + v
Let c(k) = -11*k**2 - 8. Suppose -2*j = 92 - 364. Let s(i) = 69 - 7*i**2 + 62 - j. Calculate 5*c(n) - 8*s(n).
n**2
Let r(s) = 6*s**2 + 5*s + 1. Let l(q) be the third derivative of q**5/60 + q**4/24 - 20*q**2 - 16*q. Give -3*l(a) + r(a).
3*a**2 + 2*a + 1
Let b(t) = -t. Let n(q) = 2*q + 2. Let v(p) = 3*b(p) + n(p). Let k(c) = 1. Let u = -218 + 220. Let d = 10 - 14. Calculate d*k(g) + u*v(g).
-2*g
Let q be (1/(-3))/((-13)/117). Let y(i) = 0 + 2 + 4*i - 1. Let m(n) be the second derivative of 5*n**3/6 + n**2/2 + n. Calculate q*y(z) - 2*m(z).
2*z + 1
Let x(d) = d**2 + d. Suppose -2*u - 515 + 521 = 0. Let y(o) = -3*o + 7*o - 3*o**2 + 8*o**2. Give u*y(k) - 12*x(k).
3*k**2
Let m(c) = -7*c**3 - 5*c**2 - 41. Let k(r) be the second derivative of 3*r**5/20 + r**4/6 + 10*r**2 - 43*r. Determine -5*k(n) - 2*m(n).
-n**3 - 18
Let w(h) = -3*h**2 + 6*h. Let v be 3/9*3 + 4. Let c(f) = -6*f + v*f**2 + 2*f - 9*f + f**2. Calculate -6*c(u) - 13*w(u).
3*u**2
Let w(p) = p**2 - 4*p - 9. Let i(x) = x**2 - 5*x - 8. What is -3*i(f) + 4*w(f)?
f**2 - f - 12
Let q(w) = -3*w**2 + 9*w - 8. Let y(j) = j**2 - j + 1. Calculate q(f) + 6*y(f).
3*f**2 + 3*f - 2
Let s(g) = -1 - 2*g - 2*g - 10*g + 10*g - g. Let m(c) = -9*c - 2. Give 2*m(x) - 5*s(x).
7*x + 1
Let k(r) = 24*r - 3. Let c(q) = 37*q - 5. What is -5*c(p) + 8*k(p)?
7*p + 1
Let m(b) = b - 2. Let v(h) = -104*h + 12. What is 5*m(u) + v(u)?
-99*u + 2
Let n(y) be the first derivative of -5*y**3/3 - 3*y + 4. Let j(q) be the second derivative of 0*q**3 + 0 + 4*q**2 + 7/6*q**4 - 10*q. Determine 3*j(i) + 8*n(i).
2*i**2
Let i(d) = 769*d**2 + 3. Let a(v) = 1538*v**2 + 7. What is 3*a(g) - 7*i(g)?
-769*g**2
Let j(c) = 16*c**3 - 24*c**2 + 24. Let y(q) be the second derivative of -q**5/20 + q**4/12 - q**2/2 + 880*q. What is j(w) + 24*y(w)?
-8*w**3
Let a(x) = 20*x + 1. Let t(o) = 19*o + 1. Give 4*a(w) - 5*t(w).
-15*w - 1
Let r(d) = 8*d**2 + 7. Let m(s) = -15*s**2 + s - 13. Calculate 3*m(a) + 5*r(a).
-5*a**2 + 3*a - 4
Let a(n) = -29*n**2 + n + 21. Let u(i) = 12*i**2 - i - 11. What is 2*a(x) + 5*u(x)?
2*x**2 - 3*x - 13
Let r(s) = -6*s**3 + 2*s**2 + 5*s + 26. Let y(j) = -j**3 + j + 1. Calculate r(n) - 5*y(n).
-n**3 + 2*n**2 + 21
Let f(z) = -z**3 - 3*z**2 + 3*z - 14. Suppose 7*s - 44 + 23 = 0. Let j(x) = -2*x**2 + 2*x - 13. Calculate s*j(o) - 2*f(o).
2*o**3 - 11
Let z(y) = -9*y - 5. Let a(u) = 4*u + 2. Let f = 12 + -14. Let k = -3 + f. Let l = -7 - k. What is l*z(s) - 5*a(s)?
-2*s
Let w = 71 + -72. Let d(i) = -2*i + 2. Let c(p) be the third derivative of -p**4/24 + p**3/6 - p**2. Suppose -15 = -42*b + 37*b. What is b*c(r) + w*d(r)?
-r + 1
Let m be 4/7 - -26*(-1)/(-28). Let v(o) be the first derivative of -m*o**2 + 8 + 6*o. Let r(a) = -a + 1. Determine -6*r(b) + v(b).
3*b
Let k(d) = 61*d**3 + 6*d**2 + 16*d - 11. Let f(v) = 12*v**3 + v**2 + 3*v - 2. What is 11*f(z) - 2*k(z)?
10*z**3 - z**2 + z
Let j(t) = -13*t**2 + 5*t - 5. Let w(m) = 1 + 135*m**2 - 1 - 3*m + 3 - 126*m**2. What is 5*j(p) + 8*w(p)?
7*p**2 + p - 1
Let t(i) = 177*i. Let w(q) = 88147*q. Give -1991*t(l) + 4*w(l).
181*l
Let l(p) = -p - 9. Let g(v) = 5*v + 21. Let d(w) = -7*w - 28. Let f(h) = -3*d(h) - 4*g(h). What is -2*f(r) - l(r)?
-r + 9
Let b(g) = -110*g - 4. Let d(t) = -115*t - 5. What is 3*b(h) - 2*d(h)?
-100*h - 2
Let k(c) = -123*c + 8. Let v(t) = -370*t + 26. What is 10*k(y) - 3*v(y)?
-120*y + 2
Let m(q) = q**3 + 3*q**2 - 3*q. Let p(y) = -10*y**3 + 8*y - 5*y**3 + 20*y**3 - 8*y**2 + 5*y**3 - 12*y**3. Determine -8*m(x) - 3*p(x).
-2*x**3
Let x(r) = -7*r + 174. Let s(q) = 4*q - 87. Give 11*s(a) + 6*x(a).
2*a + 87
Let k(w) = -1. Suppose 16*c - 120 = 13*c. Let j be c/(-20) - (-1 + 0/2). Let r(v) = 2*v + 7. Determine j*r(n) - 5*k(n).
-2*n - 2
Let t(n) = -8*n + 42. Let x(h) = 9*h - 41. What is -7*t(z) - 6*x(z)?
2*z - 48
Let i(x) = 19*x**2 - 182*x - 6. Let o(v) = -35*v**2 + 364*v + 11. Give 11*i(c) + 6*o(c).
-c**2 + 182*c
Let s(q) = -3*q**2 + 8*q - 3. Let p(o) = -8*o + 4. Determine -3*p(u) - 4*s(u).
12*u**2 - 8*u
Let a(w) = w**2 - w. Suppose -4*o = 5*z - 23, 2 = -2*z - 3*o + 14. Let m be (-6)/8 + (-4 - (-75)/20). Let v(c) = -3*c. Determine m*v(s) + z*a(s).
3*s**2
Let a(y) = y + 1. Let v(m) = -6*m + 6. Determine -10*a(l) + 2*v(l).
-22*l + 2
Let y = -2 + 4. Let k(x) = x + 1. Let h(q) = -4*q - 2. Let s(g) = -g**3 + g**2 + 11*g + 5. Let l be s(4). Determine l*h(j) + y*k(j).
-2*j
Suppose 9 = -3*l - 4*g, 2*l + g + 1 = -0*g. Let q(f) = 3*f**2 - 3*f + 2. Let m(z) = -z. Give l*q(b) - 4*m(b).
3*b**2 + b + 2
Let c(h) be the third derivative of h**4/6 - 11*h**3/6 - 138*h**2. Let q(m) = 3*m - 10. Give -6*c(k) + 7*q(k).
-3*k - 4
Let s(g) = -3*g**3 - 3*g**2 + 3*g + 2. Let o(z) be the second derivative of 3*z**5/4 + 4*z**4/3 - 8*z**3/3 - 11*z**2/2 - 704*z. What is 2*o(w) + 11*s(w)?
-3*w**3 - w**2 + w
Let k(d) = -322*d**2 - 4*d - 10. Let g(x) = 161*x**2 + 2*x + 4. Give 5*g(t) + 2*k(t).
161*t**2 + 2*t
Let l(h) = 7*h**2 - 4*h + 13. Let i(u) = -3 - 3*u**2 - 3 + 105*u + 99*u - 202*u. What is -13*i(g) - 6*l(g)?
-3*g**2 - 2*g
Let u(k) = -7*k**2 + 219*k - 64. Let l be u(31). Let n(g) = -21*g**3 + 5*g**2 + 7. Let z(f) = -10*f**3 + 2*f**2 + 3. Calculate l*n(w) + 5*z(w).
-8*w**3 + 1
Let y(p) = 2*p - 3. Suppose -5*q = -0*q + 25. Let c(j) = 4*j - 8. Let o(l) = -8*l + 15. Let d(u) = q*c(u) - 3*o(u). Calculate -3*d(a) + 5*y(a).
-2*a
Let b(r) = 3*r**2 + 3*r + 2. Let h(x) = -4*x**2 - 4*x - 3. Let i(s) = 3*b(s) + 2*h(s). Let l(g) = -2*g**2 + 244*g - 243*g + g**2. Give -i(j) + l(j).
-2*j**2
Let p(y) = 1. Let n(q) = q + 2. Let m = 269 - 259. What is m*p(d) - 5*n(d)?
-5*d
Let b(n) = 42*n - 3. Let r(g) = -21*g + 1. Give -4*b(x) - 7*r(x).
-21*x + 5
Let k(m) = -3*m**2 - m - 5. Let t(g) = g**2 + 1. Suppose 0 = -6*c + 4*c + 4. Suppose -l = -3*a + 12, a - 2*l - 2 = c. What is a*t(i) + k(i)?
i**2 - i - 1
Let y be 0 + (2 - (5 - -2)). Let u(r) = -5*r + 3. Let l(n) = -n**2 - 14*n + 35. Let d = 13 + -29. Let m be l(d). Let t(o) = -9*o + 5. Determine m*t(x) + y*u(x).
-2*x
Let z(s) = s - 2. Suppose 4*a + 15 = u, -7*u = -2*u - 3*a - 41. Suppose q = -j - 2, 2*q - q = -4*j + u. Let r(o) = 2*o
|
{
"pile_set_name": "DM Mathematics"
}
|
actor of 165 and 166623435?
165
What is the highest common factor of 114413579 and 133?
7
What is the greatest common factor of 439 and 1261454647?
439
What is the greatest common factor of 472045296 and 1624?
232
Calculate the greatest common divisor of 6213882 and 1800570.
7662
What is the highest common factor of 25 and 60770200?
25
What is the greatest common factor of 2057 and 66635393?
187
Calculate the highest common divisor of 2916 and 24944679.
243
What is the greatest common factor of 10417054 and 950?
38
Calculate the greatest common factor of 5000 and 267246250.
1250
What is the greatest common divisor of 4882476 and 52?
4
Calculate the highest common factor of 87 and 3452566.
29
What is the greatest common divisor of 149970 and 7635?
15
Calculate the greatest common divisor of 25564086 and 29808.
3726
What is the greatest common divisor of 5428 and 830254?
46
Calculate the greatest common factor of 5028 and 4294750.
838
Calculate the highest common divisor of 819530 and 4390.
10
What is the greatest common factor of 390763457 and 21?
7
Calculate the greatest common factor of 3381 and 54201.
21
Calculate the highest common divisor of 699 and 57420753.
699
What is the highest common factor of 1421975 and 805?
115
Calculate the highest common factor of 1288422 and 19251.
279
Calculate the highest common divisor of 12348 and 450.
18
What is the greatest common factor of 420264488 and 7672?
7672
What is the highest common divisor of 1037232 and 9217488?
2352
What is the greatest common divisor of 696 and 1330104?
24
What is the greatest common divisor of 20574 and 2706?
6
What is the greatest common factor of 21000 and 42500500?
3500
What is the highest common factor of 5228130 and 330?
30
Calculate the greatest common factor of 257383 and 2795191.
581
What is the highest common divisor of 179331744 and 96?
96
Calculate the highest common factor of 984 and 1348211364.
492
What is the greatest common factor of 7387 and 2121148?
83
What is the highest common factor of 8474 and 145578?
38
Calculate the highest common divisor of 2020 and 204976.
4
What is the greatest common divisor of 805576 and 6476512?
7976
What is the highest common factor of 2033352664 and 1648?
824
What is the highest common divisor of 13288 and 3841816?
88
Calculate the greatest common factor of 130 and 2867345.
65
What is the greatest common divisor of 30844 and 1839424?
2804
What is the highest common factor of 36 and 14609772?
36
What is the highest common factor of 275394 and 369957?
1659
Calculate the highest common divisor of 56941853 and 13542.
2257
What is the highest common factor of 860 and 86862666?
86
Calculate the greatest common factor of 43361844 and 37616.
9404
Calculate the highest common divisor of 532575 and 14550.
75
Calculate the greatest common factor of 13269050 and 50.
50
What is the highest common divisor of 500929 and 1716?
143
Calculate the greatest common factor of 1072 and 885440912.
1072
Calculate the greatest common factor of 995571 and 1479017.
4097
Calculate the greatest common factor of 1798169438 and 37.
37
What is the highest common factor of 2477637 and 53253?
549
Calculate the highest common divisor of 2308 and 11212.
4
What is the greatest common divisor of 4252526 and 2616?
218
Calculate the greatest common factor of 6386185 and 260.
65
What is the highest common divisor of 195620 and 2340?
20
Calculate the highest common divisor of 3 and 11410851.
3
What is the greatest common factor of 42813 and 504?
9
What is the highest common factor of 3555 and 58855?
395
What is the greatest common factor of 2028 and 4779372?
156
Calculate the greatest common divisor of 1181780 and 103045.
185
Calculate the highest common factor of 47388 and 324319164.
4308
What is the highest common factor of 1703388 and 54?
6
What is the highest common factor of 576638 and 2807?
401
Calculate the greatest common divisor of 12462 and 116622.
186
Calculate the greatest common factor of 11440 and 1630629.
143
Calculate the highest common factor of 1618416862 and 23944.
5986
What is the highest common factor of 56376 and 3747546?
486
What is the greatest common factor of 92 and 423859364?
92
What is the highest common divisor of 2176 and 5684936?
136
Calculate the greatest common divisor of 2360 and 14838500.
1180
What is the greatest common factor of 2728 and 1821688?
88
Calculate the greatest common divisor of 10057 and 184319.
89
Calculate the greatest common divisor of 526500 and 1689012.
4212
Calculate the greatest common factor of 2218638 and 603.
201
What is the highest common divisor of 728517 and 7296?
57
Calculate the highest common divisor of 18616 and 42016.
104
Calculate the highest common factor of 423987 and 1269.
141
Calculate the highest common factor of 4395 and 5337.
3
What is the greatest common factor of 26840 and 1685640?
440
What is the highest common divisor of 4746348005 and 13333?
13333
Calculate the greatest common divisor of 629 and 352784.
17
Calculate the greatest common factor of 3777 and 555.
3
Calculate the highest common factor of 99550 and 237050.
550
What is the highest common factor of 515217311 and 147?
49
Calculate the greatest common divisor of 539551744 and 8.
8
What is the greatest common factor of 793240 and 203560?
280
What is the greatest common factor of 4031493 and 298?
149
Calculate the highest common factor of 21 and 419680905.
21
What is the greatest common divisor of 179299533 and 84?
21
What is the highest common factor of 345204411 and 3447?
1149
What is the greatest common divisor of 10 and 2260540050?
10
What is the highest common factor of 21315104 and 1984?
992
Calculate the greatest common factor of 57783365 and 607.
607
What is the greatest common divisor of 310 and 11209910?
310
Calculate the greatest common divisor of 3948783 and 12.
3
What is the highest common factor of 890529013 and 9251?
9251
Calculate the highest common factor of 77 and 2791845.
7
Calculate the greatest common factor of 19201063 and 15589.
917
Calculate the greatest common divisor of 2857002 and 4.
2
Calculate the greatest common factor of 19355 and 1832405.
395
Calculate the greatest common divisor of 608 and 2147.
19
What is the greatest common factor of 14672 and 114148?
4
Calculate the greatest common divisor of 42 and 166340160.
42
What is the highest common divisor of 1207 and 1235701253?
1207
Calculate the greatest common divisor of 11297664 and 24864.
672
Calculate the greatest common factor of 358435 and 143165.
1045
What is the greatest common factor of 1688 and 491108?
4
Calculate the highest common divisor of 3370446 and 1722.
246
Calculate the greatest common factor of 1442253968 and 16.
16
What is the greatest common divisor of 19299 and 117427982?
6433
Calculate the greatest common divisor of 60808 and 3036.
44
What is the greatest common divisor of 16541 and 80087?
119
Calculate the greatest common divisor of 10304 and 80890264.
1288
What is the highest common divisor of 1474660 and 440?
220
Calculate the highest common divisor of 7782071 and 5874.
979
Calculate the greatest common factor of 39706192 and 10040.
2008
Calculate the highest common divisor of 28220 and 5820790.
830
What is the highest common divisor of 7 and 3974964?
7
What is the greatest common factor of 698 and 53578829?
349
Calculate the greatest common factor of 2019232 and 352.
32
Calculate the greatest common divisor of 61124 and 44191.
413
What is the highest common factor of 2833184 and 68728?
568
What is the greatest common divisor of 2300941664 and 464?
464
Calculate the greatest common divisor of 2466 and 11646233.
137
Calculate the highest common divisor of 2926 and 3565254.
154
What is the highest common factor of 16124233 and 151?
151
Calculate the greatest common divisor of 296392 and 3816.
8
What is the greatest common divisor of 776 and 1279477336?
776
What is the greatest common divisor of 40410 and 4356?
18
What is the greatest common factor of 616 and 998155774?
154
Calculate the greatest common divisor of 3487024 and 282.
94
Calculate the greatest common divisor of 1103 and 33369059.
1103
What is the greatest common divisor of 1033 and 16122031?
1033
Calculate the greatest common factor of 176 and 16644100.
44
What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
80*k**2 - 6660*k.
5*k*(k - 6)*(k + 222)
Find s, given that -2*s**4/9 + 5684*s**3/3 - 36209666*s**2/9 - 194210912*s/3 - 2334904448/9 = 0.
-8, 4271
Suppose 82*v**5/11 - 142*v**4 + 4176*v**3/11 - 2824*v**2/11 + 128*v/11 = 0. What is v?
0, 2/41, 1, 2, 16
Find q such that 3*q**3 + 8925*q**2 + 203538*q - 442800 = 0.
-2952, -25, 2
Find t, given that -2*t**3 + 98*t**2 + 1300*t + 1200 = 0.
-10, -1, 60
Factor 20*c**5 + 88*c**4 - 328*c**3 + 256*c**2 + 20*c - 56.
4*(c - 1)**3*(c + 7)*(5*c + 2)
Factor 18*a**3 - 742*a**2 - 208096*a + 46280.
2*(a - 130)*(a + 89)*(9*a - 2)
Let -674*o**4/11 - 42456*o**3/11 - 727542*o**2/11 - 1813320*o/11 + 16200/11 = 0. What is o?
-30, -3, 3/337
Solve -z**2/3 + 77*z + 6900 = 0 for z.
-69, 300
What is g in -2*g**5/5 + 58*g**4/5 + 198*g**3/5 - 178*g**2/5 - 92*g + 384/5 = 0?
-3, -2, 1, 32
Factor -3*s**4 + 214212*s**3 - 3823898412*s**2.
-3*s**2*(s - 35702)**2
Factor -v**2/2 - 1213*v/2 - 84240.
-(v + 160)*(v + 1053)/2
Suppose -a**4 + 68*a**3 - 757*a**2 - 4242*a + 17784 = 0. What is a?
-6, 3, 19, 52
Suppose -4*t**3 - 5680*t**2 - 1999252*t + 12200856 = 0. What is t?
-713, 6
Factor -2*p**3 + 1700*p**2 + 10254*p + 15408.
-2*(p - 856)*(p + 3)**2
Factor 4*h**2 + 1621148*h + 1621144.
4*(h + 1)*(h + 405286)
Solve -68*r**2 + 8629*r + 889 = 0.
-7/68, 127
Factor 38*w**2/5 - 22232*w/5 + 234.
2*(w - 585)*(19*w - 1)/5
Solve 4*v**3 - 13056*v**2 - 1775664*v - 59171904 = 0.
-66, 3396
Suppose 4*i**2 + 240092*i - 240096 = 0. Calculate i.
-60024, 1
Determine r, given that -3*r**4/5 + 957*r**3/5 - 8424*r**2/5 + 3348*r = 0.
0, 3, 6, 310
Determine n, given that -n**5/4 - 1323*n**4/4 - 197855*n**3/2 + 199179*n**2/2 + 395711*n/4 - 397035/4 = 0.
-865, -459, -1, 1
Solve 75*r**5 + 621285*r**4 - 1367208*r**3 - 149064*r**2 + 696048*r + 198864 = 0.
-8286, -2/5, 1, 2
Find y such that y**5/7 - 8*y**4/7 - 10*y**3/7 + 80*y**2/7 + 9*y/7 - 72/7 = 0.
-3, -1, 1, 3, 8
Find z such that z**3 - 285*z**2 + 284*z = 0.
0, 1, 284
Factor -2*c**2/3 - 1113328*c/3 - 154937404448/3.
-2*(c + 278332)**2/3
Suppose 6*v**2/5 + 202938*v/5 - 81180 = 0. Calculate v.
-33825, 2
Suppose 2*g**2/5 - 30692*g/5 = 0. What is g?
0, 15346
Factor -2*r**2 + 52826*r - 52824.
-2*(r - 26412)*(r - 1)
Factor -5*s**3/4 + 17935*s**2/2 + 215355*s/4 + 80775.
-5*(s - 7180)*(s + 3)**2/4
Let -44*g**5/5 - 19632*g**4/5 - 2211004*g**3/5 - 4679736*g**2/5 + 1145520*g + 1182816/5 = 0. What is g?
-222, -3, -2/11, 1
Find k, given that 5*k**3 + 30900*k**2 + 92655*k = 0.
-6177, -3, 0
Determine t so that 3*t**4 + 225*t**3 + 3957*t**2 - 4185*t = 0.
-45, -31, 0, 1
Find r, given that 88*r**2 + 292*r + 84 = 0.
-3, -7/22
Find t such that -5*t**5 + 110*t**4 + 4170*t**3 - 102400*t**2 + 191875*t - 93750 = 0.
-30, 1, 25
Factor 4*q**4 + 45680*q**3 + 130370708*q**2 - 260924168*q.
4*q*(q - 2)*(q + 5711)**2
Solve l**4/7 - 118*l**3/7 + 3005*l**2/7 - 12632*l/7 + 1392 = 0 for l.
1, 4, 29, 84
Find h such that -15*h**5 + 1193*h**4/2 + 11706*h**3 + 94417*h**2/2 + 9624*h - 2970 = 0.
-9, -6, -2/5, 1/6, 55
Factor -4*g**2 - 199064*g - 2476654756.
-4*(g + 24883)**2
Solve 5*z**5 + 135*z**4 + 215*z**3 - 855*z**2 + 500*z = 0 for z.
-25, -4, 0, 1
Factor f**3/9 + 10601*f**2/3 - 31804*f/9.
f*(f - 1)*(f + 31804)/9
Let -27*m**4/4 + 33*m**3/4 + 345*m**2/2 + 126*m = 0. What is m?
-4, -7/9, 0, 6
Let m**2 + 1285*m + 100884 = 0. What is m?
-1201, -84
Suppose -m**3 - 14508*m**2 - 52606005*m + 105270050 = 0. Calculate m.
-7255, 2
Solve 2*j**2/5 + 1530032*j/5 + 292624740128/5 = 0.
-382508
Find t such that 2*t**4/3 + 32*t**3/3 - 2440*t**2 + 45600*t = 0.
-76, 0, 30
Factor p**2 - 113661*p + 113660.
(p - 113660)*(p - 1)
Let 4*s**3 + 1004*s**2 + 77836*s + 1920036 = 0. What is s?
-129, -61
Solve 2*i**3 - 50*i**2 - 756*i - 1296 = 0 for i.
-9, -2, 36
Factor 2*b**3/7 + 304*b**2/7 + 11264*b/7.
2*b*(b + 64)*(b + 88)/7
Solve i**4/2 + 6*i**3 - 62*i**2 - 144*i = 0.
-18, -2, 0, 8
Factor -60*d**2 - 605*d + 7055.
-5*(d + 17)*(12*d - 83)
Solve 2*u**5/5 - 54*u**4/5 - 18*u**3 + 982*u**2/5 - 168*u = 0.
-5, 0, 1, 3, 28
Find g such that -15*g**5 - 366*g**4 + 16161*g**3 + 58272*g**2 + 20700*g = 0.
-46, -3, -2/5, 0, 25
Factor 2*w**3/5 + 1869992*w**2/5.
2*w**2*(w + 934996)/5
Factor -y**2/6 + 114*y - 112739/6.
-(y - 407)*(y - 277)/6
Factor 3*g**2 - 87*g - 76650.
3*(g - 175)*(g + 146)
Factor 96*g**2 + 194*g/3 - 94/3.
2*(g + 1)*(144*g - 47)/3
Factor 215*z**5/6 + 437*z**4/3 + 673*z**3/3 + 472*z**2/3 + 271*z/6 + 7/3.
(z + 1)**4*(215*z + 14)/6
Determine p, given that -2*p**4/9 + 16*p**3/9 + 22*p**2/3 + 8*p/9 - 88/9 = 0.
-2, 1, 11
Let g**5/4 - 8675*g**4/4 + 4676300*g**3 + 117830750*g**2 + 945037500*g + 2365312500 = 0. What is g?
-10, -5, 4350
Let 3*z**2 + 1251*z - 20784 = 0. Calculate z.
-433, 16
Suppose 2*m**3/9 + 4108*m**2/9 + 2109458*m/9 = 0. Calculate m.
-1027, 0
Suppose -2*d**3 + 624*d**2/5 - 858*d/5 + 244/5 = 0. Calculate d.
2/5, 1, 61
Solve -10*w**5/7 + 12326*w**4/7 + 17282*w**3/7 - 7390*w**2/7 - 17272*w/7 - 4936/7 = 0 for w.
-1, -2/5, 1, 1234
Factor 5*m**3/4 - 2205*m**2/4 + 62775*m/4 - 462375/4.
5*(m - 411)*(m - 15)**2/4
Suppose -k**4/5 + 10504*k**3 - 689430018*k**2/5 - 4138208384*k/5 - 689745169 = 0. Calculate k.
-5, -1, 26263
Factor 3*t**4/4 - 4509*t**3/4 - 9027*t**2/4 - 4515*t/4.
3*t*(t - 1505)*(t + 1)**2/4
Suppose c**3/3 - 32629*c**2/3 + 65254*c/3 = 0. What is c?
0, 2, 32627
Suppose 2*l**2/5 - 6010808*l/5 + 4516226601608/5 = 0. What is l?
1502702
Find u such that 4*u**3/3 + 2521576*u**2 + 1192189785708*u = 0.
-945591, 0
Factor -3*f**3 - 2220*f**2 + 6681*f - 4458.
-3*(f - 2)*(f - 1)*(f + 743)
Suppose -4*t**4 + 4768*t**3 + 16*t**2 - 19072*t = 0. What is t?
-2, 0, 2, 1192
Factor -y**4/2 - 88845*y**3 - 5262022788*y**2 - 103863554999267*y + 1870396567221033/2.
-(y - 9)*(y + 59233)**3/2
Determine l, given that -2*l**2 + 285866*l = 0.
0, 142933
Factor 2*r**2 + 30*r - 1512.
2*(r - 21)*(r + 36)
Find d such that -4*d**2 - 6441008*d - 2592911503504 = 0.
-805126
Solve -3*j**2/7 + 850356*j - 421811440596 = 0.
992082
Solve 4*b**5 - 8896*b**4 - 17812*b**3 + 8896*b**2 + 17808*b = 0 for b.
-2, -1, 0, 1, 2226
Determine k so that k**2/3 - 996*k + 744012 = 0.
1494
Determine l, given that 3*l**4/4 + 44151*l**3/4 - 44163*l**2/2 - 44151*l + 88314 = 0.
-14719, -2, 2
What is l in -5*l**4 - 255*l**3 + 5400*l**2 - 25540*l + 20400 = 0?
-68, 1, 6, 10
Let -5*r**5/6 + 3185*r**4/6 - 3175*r**3/2 + 9515*r**2/6 - 1585*r/3 = 0. What is r?
0, 1, 634
Suppose -2*k**4 + 52*k**3 + 1922*k**2 - 49972*k = 0. What is k?
-31, 0, 26, 31
Determine p, given that -p**5/7 - 57760*p**4/7 - 833938872*p**3/7 + 476635520*p**2 - 476668528*p = 0.
-28882, 0, 2
Factor -2*p**2/9 - 24508*p/9.
-2*p*(p + 12254)/9
Factor 2*y**2 - 99592*y + 298758.
2*(y - 49793)*(y - 3)
Factor -2*k**3 - 83756*k**2 - 876883442*k.
-2*k*(k + 20939)**2
Solve -2*d**5/7 + 2782*d**4/7 - 136400*d**3 - 1260000*d**2 = 0 for d.
-9, 0, 700
Factor 3*v**4 + 360*v**3 + 1749*v**2 + 2772*v + 1380.
3*(v + 1)*(v + 2)**2*(v + 115)
What is v in -5*v**3 - 34690*v**2 + 347275*v - 868500 = 0?
-6948, 5
Factor w**3 - 99951*w**2/2 + 624375156*w + 312200072.
(w - 24988)**2*(2*w + 1)/2
Suppose -21*k**5 - 6483*k**4 - 432384*k**3 + 124068*k**2 = 0. Calculate k.
-211, -98, 0, 2/7
Suppose 2*b**2 - 1304*b + 1302 = 0. Calculate b.
1, 651
Factor w**3/3 - 630*w**2 + 297675*w.
w*(w - 945)**2/3
Let 5046*i**3/7 - 1025382*i**2/7 + 211986*i/7 - 1566 = 0. What is i?
3/29, 203
Factor -o**3/2 + 81*o**2/2 - 660*o + 3050.
-(o - 61)*(o - 10)**2/2
Factor 3*q**4 + 1236*q**3 - 1257*q**2 - 7434*q.
3*q*(q - 3)*(q + 2)*(q + 413)
Solve -p**2/3 + 155*p/3 + 2522 = 0 for p.
-39, 194
Factor -33*b**3 + 4668*b**2 - 4635*b.
-3*b*(b - 1)*(11*b - 1545)
Let -3*a**4/2 - 82*a**3 + 8856*a**2 + 515592*a + 339768 = 0. What is a?
-66, -2/3, 78
Factor r**2/5 - 82576*r/5 + 1704698944/5.
(r - 41288)**2/5
Find o such that -118803*o**5/4 + 591627*o**4/4 + 834603*o**3 - 933693*o**2 - 19020*o - 96 = 0.
-4, -2/199, 1, 8
Suppose -d**5/7 + 402*d**4/7 + 1623*d**3/7 + 412*d**2/7 - 348*d = 0. What is d?
-3, -2, 0, 1, 406
Find j such that -8*j**4/9 + 130*j**3/9 - 544*j**2/9 + 128*j/9 = 0.
0, 1/4, 8
Let -5*u**3 - 240*u**2 - 3580*u - 15840 = 0. Calculate u.
-22, -18, -8
What is x in 3*x**3 - 14016*x**2 + 65454711*x/4 + 65510787/4 = 0?
-1, 4673/2
Find b, given that -2*b**2/5 - 998*b/5 + 1008 = 0.
-504, 5
Factor 4*a**2 + 22492*a - 723840.
4*(a - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
at is prob of sequence as when two letters picked without replacement from {k: 1, a: 1, s: 1, w: 1, x: 1}?
1/20
What is prob of sequence upb when three letters picked without replacement from {e: 1, u: 2, t: 3, b: 6, p: 4, z: 4}?
2/285
Four letters picked without replacement from {v: 9, q: 5}. Give prob of sequence vqvq.
60/1001
Calculate prob of sequence cmdo when four letters picked without replacement from {n: 1, d: 4, c: 3, m: 1, o: 6, l: 1}.
3/1820
Two letters picked without replacement from suqsuqufuf. Give prob of sequence fs.
2/45
Four letters picked without replacement from hhlehuheeehlhbeh. Give prob of sequence blhl.
1/3120
What is prob of sequence uuzd when four letters picked without replacement from {u: 10, d: 2, q: 3, z: 5}?
5/646
Two letters picked without replacement from tckluultvuvtkvltv. What is prob of sequence tc?
1/68
What is prob of sequence yt when two letters picked without replacement from tyi?
1/6
What is prob of sequence xoxo when four letters picked without replacement from dxxddvdxxoz?
0
What is prob of sequence nqeb when four letters picked without replacement from {q: 1, b: 1, n: 2, e: 1}?
1/60
Three letters picked without replacement from uuuuuuucccc. What is prob of sequence uuu?
7/33
Four letters picked without replacement from {a: 6, x: 13}. Give prob of sequence aaxa.
65/3876
Four letters picked without replacement from {a: 13, z: 3}. What is prob of sequence zzaz?
1/560
Three letters picked without replacement from {a: 2, i: 4}. Give prob of sequence iia.
1/5
Two letters picked without replacement from kksksksststttskb. Give prob of sequence sb.
1/40
What is prob of sequence qcc when three letters picked without replacement from {c: 7, q: 1}?
1/8
Two letters picked without replacement from bnelcnllycnl. What is prob of sequence bl?
1/33
Three letters picked without replacement from {e: 1, y: 3, r: 1, s: 1, j: 1}. Give prob of sequence yje.
1/70
Two letters picked without replacement from {t: 2, p: 2, a: 2, k: 2}. What is prob of sequence kk?
1/28
Two letters picked without replacement from maam. Give prob of sequence aa.
1/6
Four letters picked without replacement from {u: 3, i: 6, a: 1, d: 8}. Give prob of sequence dduu.
7/1530
What is prob of sequence jj when two letters picked without replacement from kkjkkkkjkkkkjkkjjkkk?
1/19
What is prob of sequence tgg when three letters picked without replacement from fggftgggfftgtff?
3/91
What is prob of sequence qd when two letters picked without replacement from qdd?
1/3
Three letters picked without replacement from {s: 1, w: 9, y: 4}. Give prob of sequence ysw.
3/182
What is prob of sequence doxd when four letters picked without replacement from {x: 1, u: 1, d: 3, o: 2}?
1/70
What is prob of sequence tps when three letters picked without replacement from {t: 5, p: 2, q: 4, s: 8}?
40/2907
Two letters picked without replacement from ccc. What is prob of sequence cc?
1
Calculate prob of sequence ee when two letters picked without replacement from {e: 4, r: 1, g: 2, a: 1, d: 2, n: 5}.
2/35
What is prob of sequence ww when two letters picked without replacement from {y: 2, c: 1, g: 7, w: 2, l: 4, u: 4}?
1/190
Calculate prob of sequence na when two letters picked without replacement from smaan.
1/10
Calculate prob of sequence rr when two letters picked without replacement from {n: 1, r: 8, w: 5, u: 2}.
7/30
Four letters picked without replacement from {z: 1, n: 7, i: 1, p: 7, q: 1}. What is prob of sequence inqp?
7/8160
Three letters picked without replacement from {y: 5, g: 2}. What is prob of sequence yyg?
4/21
Calculate prob of sequence kkl when three letters picked without replacement from llklkkkllklll.
40/429
Calculate prob of sequence pl when two letters picked without replacement from lpppl.
3/10
Four letters picked without replacement from uunpuuhuuuuhhhpuhuu. Give prob of sequence pupn.
11/46512
Two letters picked without replacement from oglcllp. What is prob of sequence cg?
1/42
Calculate prob of sequence xk when two letters picked without replacement from jkkxxxxkjjxxxxkxxx.
22/153
Calculate prob of sequence oo when two letters picked without replacement from {y: 1, o: 4, h: 2}.
2/7
Two letters picked without replacement from {t: 1, c: 3}. What is prob of sequence tc?
1/4
Four letters picked without replacement from {i: 4, o: 6, m: 3}. What is prob of sequence mimi?
3/715
Two letters picked without replacement from qkqlklklkxklkbb. Give prob of sequence xb.
1/105
What is prob of sequence zkn when three letters picked without replacement from {k: 12, h: 1, n: 1, z: 5}?
10/969
Two letters picked without replacement from {r: 1, i: 1, v: 1, a: 1, m: 5}. What is prob of sequence rv?
1/72
Two letters picked without replacement from {r: 3, t: 5}. What is prob of sequence rr?
3/28
What is prob of sequence zeze when four letters picked without replacement from eeijejzejjjzj?
1/715
Four letters picked without replacement from {q: 3, i: 17}. Give prob of sequence iqqi.
4/285
Calculate prob of sequence www when three letters picked without replacement from wwwwwwwwww.
1
What is prob of sequence aeee when four letters picked without replacement from {a: 1, e: 12}?
1/13
Two letters picked without replacement from dsqqqqqyqqsyq. Give prob of sequence ys.
1/39
Three letters picked without replacement from {w: 3, p: 5, c: 1, i: 8, y: 3}. What is prob of sequence cpi?
1/171
What is prob of sequence nt when two letters picked without replacement from mpppgtttngtttgpttgn?
8/171
What is prob of sequence rn when two letters picked without replacement from {i: 2, r: 5, n: 1, y: 1, g: 1}?
1/18
Calculate prob of sequence eee when three letters picked without replacement from fffefeffeefefeffeeee.
2/19
What is prob of sequence pf when two letters picked without replacement from nfnfnfp?
1/14
Two letters picked without replacement from wqpjqbi. What is prob of sequence bq?
1/21
Calculate prob of sequence czjz when four letters picked without replacement from jiciicrrzrzi.
1/2970
Three letters picked without replacement from {c: 2, a: 1, v: 1, p: 2, g: 1}. Give prob of sequence apv.
1/105
What is prob of sequence www when three letters picked without replacement from wwwwwww?
1
Four letters picked without replacement from iiluk. Give prob of sequence ikiu.
1/60
Three letters picked without replacement from qsgggkgkgggggggrgrqg. What is prob of sequence kqs?
1/1710
Three letters picked without replacement from {b: 5}. What is prob of sequence bbb?
1
What is prob of sequence ts when two letters picked without replacement from {n: 4, t: 1, s: 3, p: 2}?
1/30
Three letters picked without replacement from mmmzzmmmzmzzmzmmzzz. What is prob of sequence zmm?
45/323
Two letters picked without replacement from qqq. What is prob of sequence qq?
1
Calculate prob of sequence yo when two letters picked without replacement from {e: 4, y: 2, s: 1, w: 1, o: 7}.
1/15
Four letters picked without replacement from budvsssuvvesbebeb. What is prob of sequence sebe?
1/595
Calculate prob of sequence ll when two letters picked without replacement from lydhyyfyl.
1/36
What is prob of sequence zod when three letters picked without replacement from dzzzdlozdd?
1/45
What is prob of sequence ee when two letters picked without replacement from yepfpmpevmfvpp?
1/91
Two letters picked without replacement from {n: 3, e: 2, d: 2, h: 2, p: 1, r: 2}. Give prob of sequence de.
1/33
Three letters picked without replacement from lttil. Give prob of sequence ilt.
1/15
Four letters picked without replacement from {b: 8, y: 3}. Give prob of sequence yyyb.
1/165
Calculate prob of sequence oco when three letters picked without replacement from zooczcczccccccccczz.
4/969
What is prob of sequence qqjj when four letters picked without replacement from {j: 9, q: 10}?
45/646
What is prob of sequence zezz when four letters picked without replacement from {e: 3, z: 5}?
3/28
Three letters picked without replacement from ihihhhhihiiiih. What is prob of sequence ihh?
7/52
Two letters picked without replacement from {f: 1, b: 1, n: 1}. Give prob of sequence fb.
1/6
Two letters picked without replacement from {a: 4, t: 1, n: 3, j: 3}. What is prob of sequence na?
6/55
Two letters picked without replacement from {n: 2, u: 2, l: 2}. Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
(d) 0.7 (e) 4/3
b
What is the closest to 0.05 in -1/6, -2, -0.4, 20, -6/11?
-1/6
Which is the nearest to 7? (a) 1 (b) -4 (c) -2/3 (d) 5 (e) 1432
d
What is the nearest to 4/7 in 9, 2, -1802, 4, -4?
2
What is the nearest to -3/7 in -0.5, -20, 6, 2/19?
-0.5
What is the closest to 0.21 in 3, 2/3, 0.8, -0.07?
-0.07
What is the nearest to 0 in 5, 38, 4/9, -1/3, -7?
-1/3
What is the closest to 1/4 in 1/5, -2/9, 0.4, 2?
1/5
Which is the nearest to -171/56? (a) -2 (b) 4 (c) 0.3
a
Which is the closest to -0.03? (a) -0.2 (b) 2 (c) 5 (d) -383
a
What is the closest to 1 in 2, -3, 0.4, 49?
0.4
What is the nearest to 1.18 in 55, -0.66, 3/7?
3/7
What is the closest to -3 in -0.5, -1, 111, -0.4?
-1
What is the nearest to 0 in 1/21, -5, -3/2, 0.2, -139?
1/21
What is the nearest to -0.02 in 4, 3/62, 0.3?
3/62
Which is the closest to -128? (a) -54 (b) -5/4 (c) -0.11
a
Which is the nearest to 0.7? (a) 5 (b) 0.43 (c) 2/25 (d) -0.5
b
What is the nearest to 5/7 in -154/5, -5, 7/6, 5?
7/6
What is the nearest to -7 in -5, 5, -0.1?
-5
What is the nearest to -60 in 1, 0.06, 12, -0.5?
-0.5
What is the closest to 20 in -30/13, 6/11, 1, -1?
1
What is the closest to 2/7 in -5, -1, -815?
-1
Which is the closest to 6? (a) -2 (b) -22.3 (c) -1/3 (d) -3/4 (e) 4
e
What is the closest to 8 in 5/3, 0.047, 3?
3
What is the closest to 1 in -0.1, -10, -8.8, 0.03?
0.03
Which is the nearest to -2.6? (a) 1.8 (b) 2/15 (c) 7
b
What is the nearest to -0.7 in -17, 2, 1469?
2
What is the nearest to -0.3 in 5, 0.5, 73.6?
0.5
Which is the closest to -0.08? (a) 4.3 (b) -13 (c) 1 (d) 1/2 (e) -1/3
e
What is the nearest to 1/6 in 0.4, -0.1, -1/4, 52?
0.4
Which is the closest to 25? (a) -4/3 (b) -1.7 (c) -0.4 (d) -29 (e) 0.5
e
What is the nearest to 2/21 in -3, 31, -4, -4/5?
-4/5
Which is the closest to -3/4? (a) -11/8 (b) -0.2 (c) 72
b
Which is the nearest to -0.1? (a) -2/2405 (b) 0.4 (c) 2 (d) 2/11
a
What is the closest to -1 in -2/9, 1/438, -0.1?
-2/9
Which is the closest to 13? (a) 3/5 (b) 0 (c) -0.2 (d) -1/11 (e) -32
a
What is the closest to 7 in -165, -0.3, -0.2?
-0.2
Which is the closest to 1052? (a) -0.4 (b) -1/4 (c) 3
c
What is the closest to -11/2 in -2/11, -0.1, -326, 1, 4/3?
-2/11
What is the closest to 31.06 in 4/9, -3/2, 4?
4
What is the closest to -4 in -2/3, 2/9, -2/5, -0.0389?
-2/3
Which is the nearest to 0.1? (a) 174 (b) 4 (c) 0.4 (d) -1/8
d
What is the closest to -6 in -34, 2/3, 32, 1/4?
1/4
What is the nearest to -3/7 in -4, 1177, 41/4?
-4
Which is the nearest to 0.1? (a) 2 (b) 66 (c) -0.5 (d) -8 (e) -3
c
What is the closest to -2 in 0.3, -128/163, -3/5?
-128/163
What is the closest to 0.9402 in 1/3, -0.06, 3, 2/5?
2/5
What is the closest to -0.1 in 365/8, -0.5, -2/9, 44?
-2/9
Which is the closest to -0.1? (a) -3/8 (b) 4/5 (c) 76 (d) 9 (e) 2
a
Which is the closest to 2/3? (a) 1 (b) -0.23 (c) -0.6 (d) 3.4
a
Which is the nearest to 1/4? (a) 5 (b) 2/9 (c) 0.1 (d) -137
b
Which is the closest to -0.1? (a) -1 (b) 0.1 (c) -12 (d) 1/7
b
Which is the closest to 0.2? (a) 0.2 (b) -1 (c) 2/13 (d) 5/26
a
What is the closest to -688 in -2/169, -4, -1?
-4
What is the closest to 1 in 1/6, -4, 1/4, -2, -1/26?
1/4
What is the nearest to -11 in 0, -0.0016, 3?
-0.0016
Which is the nearest to -10? (a) 3 (b) 0 (c) -63 (d) 1/2 (e) 1/7
b
Which is the nearest to -2? (a) 5 (b) 0 (c) 4155 (d) 1
b
What is the nearest to -5 in -2/7, 1/2, -3, 0, 972?
-3
What is the closest to 2/7 in 0, 3/10, 80, -1/4?
3/10
Which is the nearest to 11? (a) -5 (b) 10/7 (c) -1/4 (d) 13 (e) -4
d
Which is the nearest to -0.02? (a) 0.2 (b) 2/9 (c) -4 (d) 12/101
d
Which is the nearest to -1/2? (a) 206 (b) -4 (c) -0.1 (d) 0.1 (e) 14
c
What is the nearest to -722 in 4/7, 0, 1/49, -0.1, -2?
-2
What is the nearest to 24 in 2/3, -2, 1/9?
2/3
What is the nearest to -3 in 0.088, 21, -0.1?
-0.1
Which is the nearest to 10/3? (a) 23/4 (b) -0.5 (c) 4 (d) 31
c
Which is the closest to 1? (a) 0.1 (b) -65 (c) -1/11 (d) -5/6 (e) 0
a
Which is the closest to 2/7? (a) -35 (b) -2 (c) -267
b
Which is the nearest to 8? (a) -1/8 (b) 0.2 (c) 338
b
What is the nearest to 696/7 in -16, 25, 2/13, -2/3?
25
Which is the nearest to 20? (a) 3/5 (b) 3/7 (c) 1849
a
Which is the nearest to -27/19? (a) -0.4 (b) -3/2 (c) 0 (d) -2/159
b
Which is the closest to 1? (a) -1.5608 (b) 0.1 (c) 2/9 (d) 0
c
Which is the nearest to 1? (a) -25884 (b) 0.2 (c) -6/11
b
Which is the nearest to -1/4? (a) 0.0041 (b) -2 (c) 4 (d) 1/3
a
Which is the closest to -62.1? (a) -0.08 (b) -0.1 (c) -3
c
Which is the nearest to 0.2? (a) 53 (b) 0.3 (c) -4 (d) -993 (e) 0.2
e
Which is the closest to -6396? (a) 4 (b) 8 (c) 2/7 (d) 0
d
Which is the nearest to 0.13? (a) -2 (b) 1 (c) 0.4 (d) -261
c
Which is the closest to -2/5? (a) 1/5 (b) -5 (c) 104 (d) 30
a
Which is the nearest to 10? (a) 5 (b) 59 (c) 0.4 (d) 0.2 (e) -1
a
Which is the nearest to -6087/5? (a) 2 (b) -1 (c) 0.3 (d) -4
d
What is the nearest to 1/3 in -5, 310, -1, -2/11?
-2/11
Which is the closest to -4? (a) 180 (b) -3/8 (c) 3 (d) -4
d
What is the nearest to 1 in -2, -9, -165?
-2
What is the closest to 270.13 in -1, 0, 1?
1
What is the nearest to 0 in 1, -37, 3/4, 2/15?
2/15
What is the nearest to -0.03 in 5, -146.1, 2, -1/8, 2/9?
-1/8
Which is the nearest to 1/4? (a) 0.5 (b) 4/73 (c) 43 (d) -4/3 (e) 3
b
Which is the closest to 41? (a) -3/4 (b) -1 (c) 2/25
c
What is the nearest to -2 in -2/15, -1, -93, -1/5?
-1
What is the closest to -1.9 in 2/3, 1.8, 4.9?
2/3
Which is the nearest to 0.2? (a) 424 (b) 1 (c) -4/5 (d) -8/5
b
What is the nearest to 1 in -671, -103, -2?
-2
Which is the closest to 52? (a) -0.09 (b) -0.11 (c) -1/2
a
What is the nearest to 1 in -3, -0.4, 20, 2, -56?
2
Which is the nearest to -1/4? (a) 23 (b) -5 (c) -73
b
Which is the closest to 0? (a) 0.15 (b) 2 (c) -5/27 (d) -5
a
What is the closest to -70 in 0.19, 2/11, 0?
0
What is the closest to -1 in -1/6, 12, 4, 109/2, 0.4?
-1/6
Which is the closest to 2? (a) -0.4 (b) 0.05 (c) -6 (d) 3/5
d
Which is the closest to -24/13? (a) -4 (b) -599 (c) 5 (d) 1 (e) -0.5
e
Which is the nearest to -3? (a) 23 (b) 2/5 (c) -4
c
What is the closest to -1/2 in 9, 5, 16, 0.4?
0.4
Which is the nearest to -1/6? (a) 6 (b) -1/5 (c) 0
b
Which is the nearest to 16? (a) -3 (b) -4 (c) -469
a
Which is the nearest to 0? (a) 2/11 (b) -0.2 (c) 4862 (d) 5/4 (e) -5
a
What is the nearest to -25 in 7/4, 1, -47.6?
-47.6
What is the nearest to 2/3 in 1, -5, -3, 4/7, 3/8?
4/7
What is the closest to -2/7 in -1/30, 2.4, -2, 4/5?
-1/30
Which is the nearest to 1/3? (a) -1 (b) -68 (c) -84
a
What is the nearest to -1 in -638, 0.2, 7, 2?
0.2
Which is the closest to 0.1? (a) 1/2 (b) 2/25 (c) 0.2 (d) 213 (e) -0.1
b
Which is the closest to 20? (a) 1 (b) 1/4 (c) 0 (d) -1/13
a
Which is the nearest to 2.8? (a) 0 (b) -2 (c) 41.6
a
What is the nearest to -3 in 12, -4603, -0.5?
-0.5
What is the nearest to -3 in -973.77, 1/5, 3?
1/5
Which is the closest to -0.1? (a) -1/6 (b) -0.2 (c) -1 (d) -0.0225
a
Which is the nearest to -4? (a) 5 (b) 57 (c) -2
c
Which is the nearest to 14? (a) 1 (b) 15 (c) 0.3 (d) -6
b
Which is the closest to -59? (a) 0 (b) 0.00332 (c) 1/4
a
Which is the nearest to 0? (a) -7.2 (b) 2 (c) -210 (d) -5/4
d
Which is the nearest to 5? (a) -1/5 (b) -0.5 (c) -21 (d) 0 (e) 25/4
e
Which is the closest to 2/49? (a) -2 (b) 3 (c) -4 (d) -0.3
d
Which is the nearest to 0.3? (a) 1/11311 (b) -0.1 (c) -2 (d) 0.1
d
Which is the nearest to -0.09? (a) -629 (b) -0.1 (c) 3
b
What is the nearest to 0.1 in 0.17, 5, -10/3, 0.1, 5/4?
0.1
What is the closest to 0 in -0.27, 3, -1.8, -98, -5?
-0.27
Which is the closest to 1/30? (a) 3/7 (b) -2607 (c) 0.06
c
Which is the closest to 12? (a) -0.1 (b) -2/207 (c) 4 (d) -5
c
What is the closest to -2 in -3, 2/3, 11081, 0.8?
-3
Which is the nearest to -4? (a) -1/4 (b) -3.1 (c) -0.1
b
What is the closest to -2/3 in -4, 1/4, -2, 19/6, -0.08?
-0.08
Which is the closest to 1? (a) -1321 (b) 5 (c) 204
b
What is the closest to 0.3 in -41, 9, -269?
9
What is the closest to -534 in 4, -5, 2, 0?
-5
What is the closest to 60 in 1,
|
{
"pile_set_name": "DM Mathematics"
}
|
= 5*s for s.
1
Solve -1608 = -7*i - 1622 for i.
-2
Solve -359 + 86 = 39*n for n.
-7
Solve 0 = 16*c + 25 - 121 for c.
6
Solve 25*k = 15*k - 50 for k.
-5
Solve 0 = -0*h - 0*h - 2*h for h.
0
Solve 0 = 5*h - 3*h - 2 for h.
1
Solve -13*z + 12*z - 3 = 0 for z.
-3
Solve -3 - 1 = 2*n for n.
-2
Solve -188*x = -194*x - 18 for x.
-3
Solve 5*b = -14 - 1 for b.
-3
Solve -11*q + 8*q - 6 = 0 for q.
-2
Solve -9*r = -13*r for r.
0
Solve 3*d + 41 = 53 for d.
4
Solve 0 = 6*g + 1 - 19 for g.
3
Solve -111*i - 78 = -124*i for i.
6
Solve 19*c = 21*c + 2 for c.
-1
Solve -36 = 15*q - 3*q for q.
-3
Solve 8*r = -0*r + r for r.
0
Solve 3360 - 3378 = 3*i for i.
-6
Solve 152*m = 142*m + 10 for m.
1
Solve 0 = -4*s + 8*s - s for s.
0
Solve 0 = -2*w - 10*w + 12 for w.
1
Solve 28 = 69*n - 248 for n.
4
Solve 16*d - 18*d = 6 for d.
-3
Solve 0*u = -9*u for u.
0
Solve 28 = -m + 31 for m.
3
Solve -425*n + 426*n = -6 for n.
-6
Solve -76 = 6*p - 100 for p.
4
Solve 14*c = 13*c - 10 for c.
-10
Solve 66*n - 63*n = -9 for n.
-3
Solve 0 = -0*z - 9*z - 27 for z.
-3
Solve -4 = -976*f + 977*f for f.
-4
Solve 46*q + 15 = 41*q for q.
-3
Solve -a + 4 = -3*a for a.
-2
Solve 110 - 50 = -6*b for b.
-10
Solve 67*x + 100 = 47*x for x.
-5
Solve -12*j + 89 - 53 = 0 for j.
3
Solve 2 = 21*b + 2 for b.
0
Solve -20 = 4*f - 8 for f.
-3
Solve -100 + 100 = -w for w.
0
Solve -5 + 9 = -4*r for r.
-1
Solve -41*v = -27 - 219 for v.
6
Solve 210*t + 296 = 173*t for t.
-8
Solve 1044*x = 1024*x + 140 for x.
7
Solve -40*d = -5*d - 245 for d.
7
Solve -6213*u + 6198*u = 15 for u.
-1
Solve 118*v = 122*v + 20 for v.
-5
Solve 83 - 107 = 8*g for g.
-3
Solve -3*i + 14 - 17 = 0 for i.
-1
Solve 28*v - 23*v = 25 for v.
5
Solve -2192 = -4*z - 2200 for z.
-2
Solve -4*k + 1136 - 1152 = 0 for k.
-4
Solve 28 = 6*x + 10 for x.
3
Solve -8*l + 15*l = -14 for l.
-2
Solve -5*y = -0*y for y.
0
Solve 28*d + 112 = 12*d for d.
-7
Solve -8 = -4*l - 4*l for l.
1
Solve -10*b + 40 + 0 = 0 for b.
4
Solve 38*u = 14*u - 120 for u.
-5
Solve 20*y + 7 - 107 = 0 for y.
5
Solve -10*q = -3*q - 21 for q.
3
Solve -16 - 8 = 6*d for d.
-4
Solve 25*i + 177 - 227 = 0 for i.
2
Solve 15*f = 16*f + 4 for f.
-4
Solve -24*g = -25*g for g.
0
Solve -12*s + 62 = -10 for s.
6
Solve 0 = -20*n + 11*n for n.
0
Solve 44 = 5*a + 59 for a.
-3
Solve -195*a = -187*a + 40 for a.
-5
Solve -7*o = -4*o - 3 for o.
1
Solve 32 = -21*q + 53 for q.
1
Solve -6*l = -5*l + 2 for l.
-2
Solve -3*u + 5 = 20 for u.
-5
Solve 792*k - 777*k = -105 for k.
-7
Solve 24*p + 11*p + 140 = 0 for p.
-4
Solve 0 = -13*j + 10*j - 9 for j.
-3
Solve -7 = -8*q - 15 for q.
-1
Solve 4*y = -8*y + 48 for y.
4
Solve 0 = 5*w + 1183 - 1178 for w.
-1
Solve -7*b + 33 = -18*b for b.
-3
Solve -2 = -17*m + 32 for m.
2
Solve -13 - 6 = 19*q for q.
-1
Solve -22*o + 13*o = -9 for o.
1
Solve -10*k + 105 = 35 for k.
7
Solve 29*k - 44*k - 60 = 0 for k.
-4
Solve 15*t + 40 = -5 for t.
-3
Solve 260*i = 265*i - 15 for i.
3
Solve -56 = 4*g - 52 for g.
-1
Solve 40*v = 67*v + 189 for v.
-7
Solve 130 = 119*p - 132*p for p.
-10
Solve -51 = -6*m - 21 for m.
5
Solve -108*i = -98*i - 80 for i.
8
Solve -20 = -27*l + 7 for l.
1
Solve 0 = 3*s + 7 + 5 for s.
-4
Solve 11*w - 7*w = -4 for w.
-1
Solve 21 = -4*h + 13 for h.
-2
Solve -10*w + 6*w + 8 = 0 for w.
2
Solve 0 = -2*m + 25 - 33 for m.
-4
Solve 21 = -355*h + 362*h for h.
3
Solve 33*h = -25*h - 406 for h.
-7
Solve -12*b + 93 = 19*b for b.
3
Solve -48 = 114*o - 126*o for o.
4
Solve -9*s = -4 + 4 for s.
0
Solve 25*k = -74 - 151 for k.
-9
Solve -27*q = -35*q + 40 for q.
5
Solve -14 = 4*z - 22 for z.
2
Solve -185 = -2686*w + 2723*w for w.
-5
Solve 199 = 39*o - 152 for o.
9
Solve 4*l + 7*l = -22 for l.
-2
Solve 9 = 2*k + k for k.
3
Solve 7*u + 20 = 3*u for u.
-5
Solve -13*i = 10 - 114 for i.
8
Solve 0 = -71*y + 39*y - 128 for y.
-4
Solve -433 = 74*b - 63 for b.
-5
Solve 0 = 8*v + 15 - 7 for v.
-1
Solve 27*o = 20*o + 14 for o.
2
Solve 0 = 11*a + 593 - 560 for a.
-3
Solve 0 = 29*d + 9*d - 38 for d.
1
Solve 243*t - 95 = 224*t for t.
5
Solve -257 = -26*k + 3 for k.
10
Solve -69*y - 60 = -81*y for y.
5
Solve -429 = 2*b - 421 for b.
-4
Solve -54*c = -65*c - 66 for c.
-6
Solve 6 + 8 = -7*k for k.
-2
Solve -68 = -19*s + 46 for s.
6
Solve 16*l + 36 = 25*l for l.
4
Solve -4*g - 2 = -22 for g.
5
Solve -7*j - 7 = 21 for j.
-4
Solve -54*t - 64 = -38*t for t.
-4
Solve -13*q = -8*q - 15 for q.
3
Solve 38 = 3*z + 53 for z.
-5
Solve 2*w = -7*w - 18 for w.
-2
Solve 0 = 103*r - 185*r - 574 for r.
-7
Solve -110*a = -118*a + 8 for a.
1
Solve 559 - 564 = -p for p.
5
Solve 7*p = 8*p - 5 for p.
5
Solve 9*b + 470 = 461 for b.
-1
Solve 383*b = 387*b - 20 for b.
5
Solve 0 = -552*p + 563*p + 66 for p.
-6
Solve 178*b = 174*b + 16 for b.
4
Solve -2*g - 25 = 3*g for g.
-5
Solve -2*k - 10 + 14 = 0 for k.
2
Solve -11*y + 62*y = -51 for y.
-1
Solve -32 = -12902*z + 12910*z for z.
-4
Solve 0 = -3*t - 258 + 252 for t.
-2
Solve 0 = -259*b + 249*b - 10 for b.
-1
Solve 15*c - 4 = 19*c for c.
-1
Solve 0 = -66*l + 72*l + 60 for l.
-10
Solve 9 = 2*f + 3 for f.
3
Solve 6*x - 29*x = -161 for x.
7
Solve 14*u - 20*u = -36 for u.
6
Solve -3*g = 46 - 37 for g.
-3
Solve -40*x = -25*x - 15 for x.
1
Solve -1401*b - 63 = -1408*b for b.
9
Solve 0 = -5*l - 17 + 22 for l.
1
Solve -4*p - 2*p = 6 for p.
-1
Solve -134*h = -133*h + 3 for h.
-3
Solve 9 - 6 = -p for p.
-3
Solve 4*a - 27 = -7 for a.
5
Solve -55 = 24*v - 55 for v.
0
Solve 52 - 48 = 2*h for h.
2
Solve 11*p - 15 = 18 for p.
3
Solve 10 = q - 3*q for q.
-5
Solve 0 = 5*m - 1821 + 1796 for m.
5
Solve 136*y - 143*y = 7 for y.
-1
Solve -9*p + 27 = -0 for p.
3
Solve -5 = 5*g - 10*g for g.
1
Solve -11 = -9*w - 2*w for w.
1
Solve -h + 119 = 16*h for h.
7
Solve 35*a - 66*a + 62 = 0 for a.
2
Solve -135*r = -159*r + 144 for r.
6
Solve 162 = -12*f + 210 for f.
4
Solve -13 + 17 = 4*h for h.
1
Solve 0 = -0*w - 23*w - 23 for w.
-1
Solve 23*l - 5 = 28*l for l.
-1
Solve 0 = -8*w + 5*w - 6 for w.
-2
Solve -8*x - 589 + 509 = 0 for x.
-10
Solve -6*i - 44 = 5*i for i.
-4
Solve 9*p = 8*p for p.
0
Solve -4*y = -49 + 61 for y.
-3
Solve 2 - 4 = 2*y for y.
-1
Solve 0 = 3*a + 4 + 5 for a.
-3
Solve 50*a + 10*a = -180 for a.
-3
Solve -22*l - 84 = -106 for l.
1
Solve 24*f - 21*f = -15 for f.
-5
Solve 0 = -60*z + 122 - 362 for z.
-4
Solve 812*w = 815*w + 15 for w.
-5
Solve 8*c - 12*c + 8 = 0 for c.
2
Solve 0 = 12*z + 5 + 7 for z.
-1
Solve 26*a = 55 - 3 for a.
2
Solve 73*k = 72*k for k.
0
Solve -30*o = -25*o for o.
0
Solve 3*i - 66*i + 441 = 0 for i.
7
Solve 16 = -t - 3*t for t.
-4
Solve 50 = -2*u + 52 for u.
1
Solve -2*z - 26 + 18 = 0 for z.
-4
Solve 134*c - 127*c + 42 = 0 for c.
-6
Solve -26*k + 8*k = 18 for k.
-1
Solve -2*x - 149 = -143 for x.
-3
Solve -92*s = -60*s + 96 for s.
-3
Solve -96 = -41*l + 68 for l.
4
Solve 347*n - 354*n = 35 for n.
-5
Solve -80*x - 470 = 250 for x.
-9
Solve 192*m - 199*m = -14 for m.
2
Solve 64 = -7*t + 39*t for t.
2
Solve 0 = -151*c + 178*c + 243 for c.
-9
Solve 0 = 3*q + 3 - 21 for q.
6
Solve -19*c - 105 = -40*c for c.
5
Solve 0 = 2576*z - 2543*z + 99 for z.
-3
Solve 8*c = 13*c + 15 for c.
-3
Solve 0 + 12 = -12*x for x.
-1
Solve 130*s = 134*s + 32 for s.
-8
Solve 7*k = 4*k + 15 for k.
5
Solve -215 = 40*r - 55 for r.
-4
Solve 114*h = 109*h - 20 for h.
-4
Solve 7*i + 4945 = 4959 for i.
2
Solve 5*z - 1106 = -1111 for z.
-1
Solve -15*i = -48*i - 165 for i.
-5
Solve 4*x + 0 = 24 for x.
6
Solve 3*b + 4 + 5 = 0 for b.
-3
Solve 4*x = 9 + 3 for x.
3
Solve 0 = 20*t + 20*t - 120 for t.
3
Solve 18 - 45 = -9*h for h.
3
Solve -174 = -47*a - 550 for a.
-8
Solve -29*k = -30*k - 3 for k.
-3
Solve 3249 - 3259 = -2*t for t.
5
Solve -3*z = -6 - 0 for z.
2
Solve 10*j = -172 + 242 for j.
7
Solve -765*z = -767*z + 10 for z.
5
Solve -59 - 29 = 22*k for k.
-4
Solve 10*o = 28*o + 18 for o.
-1
Solve -36*a - 12 = -48 for a.
1
Solve 213 = 26*n + 57 for n.
6
Solve -39*i + 37*i = 4 for i.
-2
Solve -25 = -l - 22 for l.
3
Solve 0 = 78*l - 44*l for l.
0
Solve -26*m = -27*m + 3 for m.
3
Solve -32 = -29*w + 26 for w.
2
Solve 49 = 58*t - 67 for t.
2
Solve 0 = 44*i - 53*i + 9 for i.
1
Solve 5*d + 12 = -d for d.
-2
Solve -11 - 1 = 6*p for p.
-2
Solve -5*v - 8 = -7*v for v.
4
Solve -65*z - 10 + 75 = 0 for z.
1
Solve 35 = -5*s + 12*s for s.
5
Solve -15*p = 19 + 56 for p.
-5
Solve 28 - 100 = -9*n for n.
8
Solve -2*t + 49 = 59
|
{
"pile_set_name": "DM Mathematics"
}
|
74. Determine j*o(u) - 11*n(u).
u**3 - 8*u
Let z(x) = 1003*x**3 + 33*x**2 + 3. Let n(v) = -1003*v**3 - 44*v**2 - 3. Give -3*n(s) - 4*z(s).
-1003*s**3 - 3
Let v(y) = -y + 65. Let p(i) = -53188*i + 2592915. Determine -p(l) + 39891*v(l).
13297*l
Suppose i - 29 = 2*x - 4*i, x - 3*i = -17. Let g(b) = b. Let z = -76 - -77. Let m(c) = 6*c. Calculate x*g(u) + z*m(u).
4*u
Let b(v) = v - 3. Let o(x) = -7*x**2 - 141*x - 147. Let h be o(-19). Let j(l) = l - 2. Calculate h*b(f) - 7*j(f).
-2*f - 1
Let j(y) = -9*y - 2. Suppose 4*n + 0 = -3*b - 6, -2*b + 7 = -n. Suppose -21 + 23 = 2*m, -5*l - 20 = 5*m. Let r(q) = 17*q + 3. What is l*j(c) + n*r(c)?
-6*c + 1
Let t(c) = -11*c**3 - 2*c**2. Let r(d) = -2*d**3 - 2*d**2 + 2*d. Determine 4*r(s) - 2*t(s).
14*s**3 - 4*s**2 + 8*s
Let c(s) = -s. Let d = 235 + -228. Let x be (5 + -3)/(d - 9). Let j(k) = -2*k + k - k - 2*k**2 + k. Give x*j(l) + 3*c(l).
2*l**2 - 2*l
Let r(s) = s + 1. Let c be (-902)/(-12) + 13/(-78). Suppose 3*g + k + 278 = 65, -5*g - 5*k = 345. Let h = c + g. Let a(u) = 2. Determine h*r(y) - 2*a(y).
3*y - 1
Let d(h) = -h**3 + 4*h - 1163. Let g(q) = q**3 - 5*q + 1156. Give 5*d(n) + 4*g(n).
-n**3 - 1191
Let v(d) = -321*d**3 + 2*d**2 + 1. Let i(p) = 979*p**3 - 7*p**2 - 4. Calculate -6*i(h) - 21*v(h).
867*h**3 + 3
Let r(p) = -3*p + 1. Let j(q) = -1. Let y be (1*(1 + -5 + -1))/(-5). Give y*r(n) + 3*j(n).
-3*n - 2
Let g(r) = r + 4. Suppose 3*x + 7*z = 8*z + 29, 3*x - 41 = -2*z. Let v(u) = -11. Let c(h) = 21. Let m(a) = x*v(a) + 6*c(a). What is -5*g(y) + 4*m(y)?
-5*y
Let s(y) = -25*y**2 - 551*y + 12. Let j(h) = -4*h**2 + 2. Calculate 6*j(g) - s(g).
g**2 + 551*g
Let w(u) = -3494*u**3 - 3*u**2 + 3*u + 9. Let n(o) = 5586904*o**3 + 4796*o**2 - 4796*o - 14388. What is 6*n(t) + 9592*w(t)?
6976*t**3
Let m(s) = 12*s**2 + 6*s - 65. Let t(v) = -40*v**2 - 17*v + 195. Calculate -17*m(h) - 6*t(h).
36*h**2 - 65
Let v(l) = -6*l**2 + 118*l + 25. Let f(r) = -9*r**2 + 176*r + 35. Calculate -5*f(h) + 7*v(h).
3*h**2 - 54*h
Let g(x) = 30*x**2 + 99*x + 54. Let z(u) = u**2 + 6*u + 2. Determine -2*g(s) + 54*z(s).
-6*s**2 + 126*s
Suppose -15*r + 3*r = -648. Let f(z) = -114 + r + 61. Let i(m) = m + 1. Determine 6*f(t) + 2*i(t).
2*t + 8
Let k(g) = -3*g - 9*g + 10*g - 3*g - 6*g + 12*g**2. Let o(u) = u**2 + 14*u - 4. Let t be o(-14). Let z(f) = f**2 - f. Give t*k(c) + 44*z(c).
-4*c**2
Let t = -6 - -5. Let f(g) = 1. Let p = 13 + 23. Let h(v) = -14*v - 10*v + p*v - 13*v. Determine t*h(r) + 3*f(r).
r + 3
Let m(k) = 30*k**2 + 8*k + 27. Let q(p) = -86*p**2 - 24*p - 77. Let f(a) = -17*m(a) - 6*q(a). Let v(u) = -2*u**2 - 3*u - 1. Calculate -4*f(c) - 11*v(c).
-2*c**2 + c - 1
Let g(w) = 3*w + 2. Let l(p) = -1. Suppose 4*y - s = 207, 68 = 3*y + 2*s - 79. Let f = y - 50. Suppose 2*b - f = -7. Determine b*l(c) - g(c).
-3*c + 1
Let r(i) = i**2 - 25*i + 1. Let d(u) = -3*u**3 - 50*u + 98. Calculate d(k) - 2*r(k).
-3*k**3 - 2*k**2 + 96
Let x(z) = -5*z. Suppose -19 = -3*d + 4*u, 3*d - 3*u + u - 17 = 0. Let n(q) = -1369 - 9*q - 1344 + 4082 - 1368. Give d*x(v) - 3*n(v).
2*v - 3
Let b = 5528 - 5521. Let y(h) = -45*h**2 - 4. Let p(l) = -22*l**2 - 2. Calculate b*p(k) - 4*y(k).
26*k**2 + 2
Let j(i) = 2*i + 6. Suppose 28*z = 8*z + 340. Suppose -z*q = -11*q - 6. Let t(o) = 1. Calculate q*j(g) - 5*t(g).
2*g + 1
Let x(z) = -18*z**3 + 21*z**2 + 55*z + 69. Let v(w) = 6*w**3 - 6*w**2 - 18*w - 23. What is 7*v(m) + 2*x(m)?
6*m**3 - 16*m - 23
Let m(j) = -3*j**2 + 1. Let l be ((-4)/(-6))/((-20)/30). Let d(y) = 22719 - 11353 - 11365. Calculate l*m(s) - d(s).
3*s**2 - 2
Let a(k) = -545*k + 31. Let f(v) = -1635*v + 88. What is -17*a(b) + 6*f(b)?
-545*b + 1
Let l(b) = 3*b. Let j(z) = -14*z + z - 4*z + 2*z. Let q(i) = -4*j(i) - 21*l(i). Let m be ((-4)/4 - -6)/1. Let s(x) = 3*x. Determine m*q(r) + 4*s(r).
-3*r
Let c(m) = 395*m**2 - 35*m - 7. Let d(y) = -198*y**2 + 15*y + 3. Give 3*c(w) + 7*d(w).
-201*w**2
Let d(s) = 2*s**2 + 55*s - 44. Let j(l) = -l**2 - 27*l + 21. Give 3*d(q) + 7*j(q).
-q**2 - 24*q + 15
Let h(t) = -64*t**3 + 3*t**2 + 15*t + 15. Let d(f) = f**3 - f**2 - 3*f - 3. Calculate -5*d(w) - h(w).
59*w**3 + 2*w**2
Let y(i) = -33*i + 6. Let d(z) = -2. Give 4*d(u) + y(u).
-33*u - 2
Let i(b) = 3*b + 1. Suppose 25732 = 61*o - 20811. Let z(u) = -249 + o - 257 - 256. Let l = -4 + 7. Determine l*z(m) - i(m).
-3*m + 2
Let x(f) = 4*f**2 - 30*f - 7. Let z = -34871 + 34873. Let l(a) = -2*a**2 + 15*a + 3. Determine z*x(q) + 5*l(q).
-2*q**2 + 15*q + 1
Let o(l) = 2*l**2 - 19*l - 5. Let q(n) = -2*n**2 + 20*n + 6. Let h(j) = -j**3 + 62*j**2 - 172*j - 301. Let b be h(59). Calculate b*o(a) - 5*q(a).
-2*a**2 + 14*a
Let i(w) = -17*w**2 + 7*w - 367. Let b(g) = 45*g**2 - 20*g + 1097. Calculate -3*b(v) - 8*i(v).
v**2 + 4*v - 355
Let t(w) = 3*w**3 + 6*w**2 - 3*w - 4. Let q = -9621 - -9627. Let g be 23/4 + (57/(-12) - -4). Let z(r) = -3*r**3 - 5*r**2 + 2*r + 3. What is g*t(v) + q*z(v)?
-3*v**3 - 3*v - 2
Let v = -2772 + 2768. Let t(j) = -7*j + 2. Let b(h) = 8*h - 3. Calculate v*b(r) - 5*t(r).
3*r + 2
Let q(n) = 674*n**2 + 40*n - 38. Let m(t) = -168*t**2 - 9*t + 9. Determine 9*m(w) + 2*q(w).
-164*w**2 - w + 5
Let u(v) be the third derivative of -7*v**5/60 - v**4/6 + v**3/2 - 2*v**2. Let q(s) = -8*s**2 - 5*s + 4. Let o = -8169 - -8173. What is o*u(d) - 3*q(d)?
-4*d**2 - d
Let u be 49/2 + (-75)/50. Suppose 104 = u*h + 3*h. Let a(v) = 3 - 5 - 2*v - 1. Let m(n) = -6*n - 8. Determine h*m(p) - 11*a(p).
-2*p + 1
Let f(u) = -112*u**3 + 6*u**2 - u + 51. Let x(m) = m**2 + 17. Determine -2*f(g) + 6*x(g).
224*g**3 - 6*g**2 + 2*g
Let v(r) = -3*r. Let u(a) = 18*a**2. Let p be u(-1). Suppose -p + 81 = 3*c. Let n(s) be the first derivative of 15*s**2 + 1158. What is c*v(m) + 2*n(m)?
-3*m
Let x(t) = 3*t**2 - 36*t + 3863. Let f(z) = -12*z. Determine -3*f(n) + x(n).
3*n**2 + 3863
Let y(w) = -4*w**2 - w - 8. Let u(z) = -13*z**2 - 3*z - 25. Suppose -a + 13 = -3*f, -33*a - 53 = 3*f - 29*a. What is f*y(h) + 2*u(h)?
2*h**2 + h + 6
Let o(n) = -131*n**3 + 12*n**2 + 2*n. Let g(p) = 264*p**3 - 26*p**2 - 5*p. Calculate 2*g(w) + 5*o(w).
-127*w**3 + 8*w**2
Let z(q) = -11*q**2 - 4*q**2 - 12*q**3 + 11*q**2 + q**2 - 17 + 12*q**2. Let i(w) = 3*w**3 - 2*w**2 + 4. Determine -9*i(d) - 2*z(d).
-3*d**3 - 2
Let i(v) = 3*v + 2. Let a(l) = 1 - 31*l + 1 + 40*l. Let f(d) = -48*d - 10. Let r(t) = 22*a(t) + 4*f(t). Calculate 5*i(g) - 2*r(g).
3*g + 2
Let q(l) = 229*l + 141. Let u(a) = 45*a + 29. Calculate 2*q(o) - 11*u(o).
-37*o - 37
Let g(u) = -12*u + 18. Let k(i) = 7*i - 11. Let d(q) = -3*g(q) - 5*k(q). Let p(x) = -2*x**3 + 5*x**2 - 4*x - 6. What is -4*d(c) - p(c)?
2*c**3 - 5*c**2 + 2
Let q(r) = -65*r**3 - 2*r**2 + 2*r - 2. Let j be 14/6*((-216)/42 - (-11 + 5)). Let v(m) = 196*m**3 + 7*m**2 - 7*m + 7. Determine j*v(b) + 7*q(b).
-63*b**3
Let f(p) = -p**3 + p**2 + 1. Let a(j) = 66*j**3 - 22*j**2 - 22. Suppose 4*l + 68 = -2*i, -61*i + 62*i = 3*l - 4. Give i*f(d) - a(d).
-44*d**3
Let j(n) = -11*n + 5. Let d(l) = 2*l - 3. Calculate 5*d(u) + j(u).
-u - 10
Let m(n) = -6*n**2 - 9*n - 6. Let f(r) = 3*r**2 - 5*r - 29. Let d(p) = -4*p**2 + 7*p + 44. Let q(a) = -2*d(a) - 3*f(a). Give m(h) - 5*q(h).
-h**2 - 14*h - 1
Let h(d) = d**3 + d**2 + d - 1. Let o(f) = 5*f**3 + 4*f**2 + 3*f - 6. Let v(k) = -k**3 + 40*k**2 + 232*k - 319. Let m be v(45). Determine m*h(g) + o(g).
g**3 - g - 2
Let j(g) = -49*g - 540. Let n be j(0). Let y = n - -537. Let q(d) = -2*d**3 + 4*d**2 + 2*d + 3. Let f(x) = -3*x**3 + 5*x**2 + 3*x + 4. What is y*f(u) + 4*q(u)?
u**3 + u**2 - u
Let s(a) = a**2 - 4*a - 753. Let g(z) = 2*z**2 - 6*z - 752. Give 3*g(p) - 4*s(p).
2*p**2 - 2*p + 756
Let h be (2/6)/((-1)/(-3)). Let w(m) = 6*m - 12. Let t(y) = 2*y - 3*y + 11*y - 23*y + 12*y + 1. What is h*w(d) + 5*t(d)?
d - 7
Let v(d) = 6*d**2 - d + 1. Let y(b) = -20*b**2 - 99*b - 4. Determine -4*v(m) - y(m).
-4*m**2 + 103*m
Let b(u) = -12*u - 17. Let m(c) = 50*c + 41. Let s(w) = 7*w + 5. Let z(y) = m(y) - 6*s(y). Give 5*b(j) + 8*z(j).
4*j + 3
Let x(f) be the second derivative of -f**3/6 - 3*f**2/2 + 5*f + 108. Let z(d) = 4*d + 9. Determine 7*x(n) + 2*z(n).
n - 3
Let m(x) = -114*x - 347. Let h be m(-3). Let g(q) = 7*q**3 - 14*q**2 + 6*q - 6. Let w(f) = -6*f**3 + 14*f**2 - 5*f + 5. Determine h*g(a) - 6*w(a).
a**3 - 14*a**2
Let q(u) = -3 + 12*u**2 + 4*u + 7 - 11*u**2 - 2*u**2. Suppose -28 = 2*t + 5*t. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
the third smallest value in u, 2, 4?
4
Let d = -0.6 - -0.1. Let f(c) = 5*c - 4*c - 4*c + 2*c. Let j be f(4). What is the smallest value in j, d, -2/9?
j
Suppose -4*f + 5 + 3 = 0. Let p be f/8*(-1210)/203. Let s = p - 2/203. What is the biggest value in -0.5, 2, s?
2
Suppose -l - 1 = -2*l, -r = -3*l + 13. Let g be (-4 - (-2 + r)) + -3. Let t be (-6)/14*(-4)/(-6). Which is the third smallest value? (a) -1/2 (b) g (c) t
b
Let p = 0.6 + -1.6. Let t = 0.11 + -5.11. Which is the smallest value? (a) -3 (b) p (c) t
c
Let n = -2100/18139 + -2/1067. Let x = 3.5 + -3. Which is the biggest value? (a) n (b) x (c) 0.4
b
Let d be ((-2)/(-16))/(6/(-136)). Let n = 1321847/42 + -31470. Let v = d + n. What is the smallest value in -1/2, 4, v?
-1/2
Let s(l) = -4*l - 1. Let k be s(-2). Let b = k - 13. Let n be 2/b - (-12)/18. What is the third biggest value in -5/2, n, 1?
-5/2
Let c = -5.5 + -0.5. Let r = c - -6. Suppose j = 4*t + t + 25, -3*j = -2*t - 23. What is the third smallest value in j, r, -0.3?
j
Let k be 7/(-49) - (-38)/70. What is the smallest value in k, 4, 1?
k
Let x(g) = -4*g**3 + 2*g**2 - g. Let l be x(1). Let u be 1*(-2 + (l - -2)). Let v = -8 + 6. Which is the second biggest value? (a) v (b) u (c) 0.4
a
Suppose 5*l + h = 26, -5*h + 6 = 5*l - 24. Which is the biggest value? (a) 1/2 (b) -5 (c) l
c
Let x be 2/(-30) + 1/(-3). Let t = 26 + -26.5. What is the third biggest value in -4, x, t?
-4
Let l be 48/(-14) - (-9)/6*2. What is the smallest value in 2/5, -1, l, 1/2?
-1
Let f be (3*1/(-15))/1. Which is the second smallest value? (a) f (b) 0.3 (c) 0.4
b
Let o = -103 - -99. Which is the third smallest value? (a) 5 (b) 1 (c) -5 (d) o
b
Let p(s) = -2*s + 12. Let m be p(8). Let t = 10 - -4. Let j be 7/(-3)*m/t. Which is the second biggest value? (a) 0.3 (b) j (c) -5
a
Let w = 18 - 17.5. Which is the second biggest value? (a) -5 (b) 1 (c) w
c
Let r = -0.2 + 0.3. Let w = 1358 - 5623/4. Let y = w + 48. What is the second smallest value in r, y, -0.3?
r
Let p be -10*(-2 + (-176)/(-90)). Let k = -1 + 1. Let r = -3 - k. Which is the third biggest value? (a) r (b) 1 (c) p
a
Let r(g) = g**2 - 2*g + 2. Let b be r(3). Let q(c) = c + 8. Let s = -8 + 1. Let p be q(s). What is the second smallest value in -2/3, b, p?
p
Let i be 56/210 + 2/(-3). What is the third smallest value in i, 1/4, -1?
1/4
Let v = 6 - 5.9. What is the smallest value in 0.2, -0.4, v?
-0.4
Let a = -0.1 + 0.2. Let b(n) = n + 6. Let o be b(-7). Let h = o - -6. What is the smallest value in h, a, 2/7?
a
Let m = -2 + 2.5. Which is the fourth smallest value? (a) m (b) 5 (c) -1/4 (d) -2
b
Let t be ((-1)/11)/(-3*6/36). Which is the third biggest value? (a) 7 (b) t (c) 2
b
Let d(f) = 9*f**3 + 3*f**2 + 3*f + 3. Let j be d(-2). Let u = j + 377/6. What is the smallest value in u, 2, 2/3?
u
Let u = -0.3 + 0. Let f be (2/(-7)*1)/((-4)/56). What is the second biggest value in u, f, -4?
u
Suppose -y - 4*q + 24 = -2*y, 26 = -4*y + 2*q. Which is the second smallest value? (a) -2/19 (b) y (c) 3 (d) -1
d
Let x be 7/4 + (-36)/48. Which is the fourth smallest value? (a) 1/3 (b) -0.3 (c) -1 (d) x
d
Let u = -11 + 9. What is the biggest value in u, -1/5, -0.5?
-1/5
Let p = 16 + -31. Let q = p - -13. Which is the biggest value? (a) 3 (b) q (c) -0.4
a
Let q = 7 - 2. Let j = -0.5 - -0.3. Let i = j - -0.7. What is the third smallest value in i, q, -3?
q
Let h = -8 - -5. Which is the third biggest value? (a) -0.09 (b) h (c) 2
b
Let c = -0.06 - -0.36. Let f = 14.5 - 7. Let v = 8 - f. What is the third biggest value in c, v, 0?
0
Let i = 199/7 - 202/7. What is the smallest value in i, 2/7, 0.1?
i
Let m(j) = -j**2 - 7*j + 4. Let q be m(-7). What is the second smallest value in 9, 3/5, q?
q
Let v = 3173 - 9604/3. Let q = -29 - v. Which is the third biggest value? (a) 0 (b) q (c) 1
b
Let w be ((-1)/2)/(15/(-6)). Let n = 46 + -79/2. Let y = n - 5. What is the second smallest value in y, -4, w?
w
Let z(j) = -j**2 - 9*j + 5. Let s be z(-7). Suppose s + 6 = -5*x. What is the second smallest value in 2/3, x, -4?
-4
Let i = -6.9 + 1.9. What is the second biggest value in i, -2, 2?
-2
Let g = -168.5 + 168. Which is the second smallest value? (a) -2/7 (b) 1/4 (c) g
a
Suppose 10*q = 12*q. Suppose q = 4*z + 4. What is the biggest value in -0.3, -3, z?
-0.3
Let f = 2 + -1. Let i = 2.7 + 0.3. Let l = -4 + i. Which is the third biggest value? (a) l (b) 0.1 (c) f
a
Let v = 0.51 + -0.01. Which is the smallest value? (a) v (b) 1 (c) -1/5
c
Suppose -p - 2 + 23 = 0. Let l = p + -20. What is the second biggest value in -1, 3, l?
l
Suppose -r - 7 = -2, -51 = -4*w + 3*r. Let s be (4/(-16))/(w/(-24)). Which is the third biggest value? (a) s (b) -0.1 (c) -1
c
Let q be (-48)/1188 + (-4)/22. Which is the second smallest value? (a) q (b) 2 (c) 0
c
Let t = -0.43 + 18.43. Let q = 33 - t. Let j = q - 10. What is the biggest value in 0.1, j, -0.3?
j
Let s = 2 + 6.5. Let y = s - 9. What is the third biggest value in 1, 0.03, y?
y
Let u = 11.6 + -12. Which is the smallest value? (a) -5 (b) -3 (c) u
a
Let s = -0.12 - 0.28. Which is the second biggest value? (a) s (b) -14 (c) 2/9
a
Let y be 2/4*1/(2/(-8)). What is the third biggest value in 2/15, y, -0.2?
y
Let v = 1.9 + -2. Let r = -0.1 + -0.1. Let n be 32/120*(-3)/(-2). Which is the third biggest value? (a) v (b) n (c) r
c
Let w be 2 - (10/(-6) + 3). Which is the biggest value? (a) 2/7 (b) w (c) 0.2
b
Let t = 0.1 - -0.3. Let u = t - 0.4. Let i = 0 + u. What is the third biggest value in -4, 0.1, i?
-4
Let j = -5 - -3. Let c = -0.7 + 0.2. Let d = c - -1. What is the third smallest value in j, -2/3, d?
d
Suppose 4*w + 4*q = 8, w = 2*w - 5*q + 22. Let p be (w/(-24))/(3/(-4)). Which is the second smallest value? (a) p (b) -4 (c) -1
c
Let p(y) = -y**3 - 4*y**2 + 12*y. Let o be p(-6). Which is the fourth smallest value? (a) 1/5 (b) 1/2 (c) 3 (d) o
c
Let f = 0.07 - 0.1. Let j = -0.47 + f. Which is the second biggest value? (a) -4 (b) -3 (c) j
b
Let h = 3.05 + -0.05. What is the second biggest value in -0.5, -4, -2, h?
-0.5
Let n = 10 - 8. What is the biggest value in 1, n, -3?
n
Let u = -0.02 - -0.5. Let l = u - -0.02. Which is the second biggest value? (a) -5 (b) -5/2 (c) l
b
Let i = -0.074 + -0.426. Which is the third biggest value? (a) -1 (b) 4/3 (c) -3/2 (d) i
a
Let t = 83 - 88. What is the smallest value in -0.07, 0, -0.3, t?
t
Let l = -0.239 + 0.139. What is the fourth biggest value in 0.4, l, 0.5, -0.2?
-0.2
Let h = 0.54 + -0.56. What is the second smallest value in -3/2, 2, 2/7, h?
h
Suppose -2*l - l = -0*l. Let z be 1 + (1 - 0) + 1. What is the smallest value in l, z, 5?
l
Let k = -3.3 + -12.7. Let i = k - -15. What is the third smallest value in 0.3, i, -2?
0.3
Let p be ((-2)/(-6))/(4/(-3)). Let y = 18 - 13. Let s be (-4)/6*2/(-12). What is the third smallest value in p, y, s?
y
Let u = -72 - -68. Let y = -3/59 + 189/236. Which is the third biggest value? (a) -2/5 (b) u (c) y
b
Let u be ((-2)/(-4))/(10/4). What is the second biggest value in u, -0.1, -0.3?
-0.1
Let h = -4.5 + 4. Let a = -0.6 - -0.8. What is the smallest value in a, h, 3?
h
Suppose 2*d = -3*d + 160. Suppose d = g - 5*g. Let f be 24/9 - g/(-12). Which is the biggest value? (a) f (b) -0.3 (c) -2
a
Let y = 0.054 + -7.154. Let j = 2.1 + y. Which is the second smallest value? (a) -5/2 (b) -2/5 (c) j
a
Let l be (0 - -1) + 393/(-495). Let n = l + -4/55. Let v = n - 19/30. Which is the second smallest value? (a) v (b) 2 (c) -1/7
c
Suppose -3*k + 0 = -15. Let u = -54/5 + 11. What is the third smallest value in u, -3, k?
k
Let d = -11 + 10.9. Let j = 26 - 21. What is the second biggest value in j, d, -3?
d
Let h = -0.3 + -0.1. What is the smallest value in -12, h, 0.2?
-12
Let r = -7/2 + 53/14. What is the second smallest value in r, 0.5, -2, 1/5?
1/5
Let h = -16.2 - -16. Which is the fourth biggest value? (a) -4 (b) h (c) -2/15 (d) 3
a
Let s = 157/42 + -32/7. Suppose -5*t = 3*k - 46, 2*k = -t - 2*t + 31. Let d be k/(-7)*1 - -2. Which is the third biggest value? (a) s (b) -4/3 (c) d
b
Let c = 1/351 + -40/351. Let z = 7 + -7.3. What is the third smallest value in -1, c, z?
c
Let l = 6 + -2. Let k be 15/(-36) + 1/l. Which is the bigge
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{
"pile_set_name": "DM Mathematics"
}
|
i: 1, x: 4}?
1/306
Four letters picked without replacement from {x: 4, n: 6}. Give prob of sequence nxnn.
2/21
What is prob of sequence tttx when four letters picked without replacement from {x: 6, t: 8, g: 1, p: 1}?
3/65
Two letters picked without replacement from {j: 1, k: 1, a: 3, u: 2}. Give prob of sequence uu.
1/21
What is prob of sequence vrv when three letters picked without replacement from rzgvvzrrrzgrvzrrzgv?
14/969
Calculate prob of sequence gg when two letters picked without replacement from {g: 4}.
1
Four letters picked without replacement from {i: 2, y: 7, c: 11}. Give prob of sequence cyyi.
77/9690
Four letters picked without replacement from tyxyzz. What is prob of sequence zzyt?
1/90
What is prob of sequence dq when two letters picked without replacement from {d: 8, q: 2}?
8/45
Calculate prob of sequence fffr when four letters picked without replacement from frrrfrffrrffffrrffrf.
99/1292
What is prob of sequence kek when three letters picked without replacement from {e: 4, k: 2, h: 1}?
4/105
Four letters picked without replacement from {y: 1, p: 1, n: 4, i: 3, j: 2}. Give prob of sequence ynjn.
1/330
What is prob of sequence bdkd when four letters picked without replacement from qddkdaakkdkbqkaqkk?
7/6120
Two letters picked without replacement from sdtytdsty. Give prob of sequence td.
1/12
Two letters picked without replacement from iiippiiiiipiiioiippi. What is prob of sequence pp?
1/19
Two letters picked without replacement from yyyulyuh. What is prob of sequence uh?
1/28
Calculate prob of sequence ydmd when four letters picked without replacement from ymdyd.
1/30
What is prob of sequence rac when three letters picked without replacement from {a: 1, m: 4, r: 5, y: 5, c: 3}?
5/1632
What is prob of sequence voy when three letters picked without replacement from aoyyyvyyayooaaya?
1/160
Calculate prob of sequence iruk when four letters picked without replacement from {u: 2, r: 4, k: 2, i: 2}.
2/315
What is prob of sequence fpp when three letters picked without replacement from epfepf?
1/30
Three letters picked without replacement from {v: 4, l: 15}. Give prob of sequence lvv.
10/323
Four letters picked without replacement from gzggzggg. Give prob of sequence gzzg.
1/28
What is prob of sequence rnv when three letters picked without replacement from {v: 2, s: 1, r: 1, j: 2, n: 1, f: 7}?
1/1092
Three letters picked without replacement from mcpxmcxo. Give prob of sequence oxx.
1/168
Two letters picked without replacement from dzzz. What is prob of sequence zz?
1/2
Calculate prob of sequence jajv when four letters picked without replacement from jjppavgjvaapavpjapj.
25/7752
Calculate prob of sequence uctg when four letters picked without replacement from {t: 1, g: 4, c: 7, u: 2}.
1/429
Two letters picked without replacement from jsvsshvsssisvhv. Give prob of sequence hv.
4/105
Two letters picked without replacement from addtdaadadtdad. Give prob of sequence dd.
3/13
Two letters picked without replacement from {p: 2, j: 1, a: 3, y: 4, c: 1, v: 1}. Give prob of sequence av.
1/44
What is prob of sequence qbsd when four letters picked without replacement from {d: 1, v: 2, q: 1, y: 4, s: 1, b: 3}?
1/3960
Calculate prob of sequence qooc when four letters picked without replacement from qoiocooqiooooh.
2/429
Two letters picked without replacement from {h: 11, s: 3, p: 2, u: 3}. Give prob of sequence ph.
11/171
Three letters picked without replacement from ovhvvwwhhwopvowvhow. What is prob of sequence ovv?
40/2907
Calculate prob of sequence rxf when three letters picked without replacement from xnrxf.
1/30
Three letters picked without replacement from {u: 2, i: 6, x: 9}. What is prob of sequence uxi?
9/340
Calculate prob of sequence iw when two letters picked without replacement from {i: 6, w: 3, k: 8}.
9/136
Calculate prob of sequence dhh when three letters picked without replacement from {s: 1, y: 1, u: 1, v: 1, h: 2, d: 1}.
1/105
Three letters picked without replacement from {y: 3, i: 2, b: 1, n: 4}. What is prob of sequence bii?
1/360
Four letters picked without replacement from bwwwwtnunnwnwbwwwwwn. What is prob of sequence tbuw?
11/58140
What is prob of sequence jp when two letters picked without replacement from zzjjzpjpjqjjzjjjzjj?
11/171
Four letters picked without replacement from auuaaaua. Give prob of sequence uuua.
1/56
Two letters picked without replacement from ktjjik. What is prob of sequence ji?
1/15
Calculate prob of sequence qq when two letters picked without replacement from qqqqqqqqqqkqqqqqqqq.
17/19
Calculate prob of sequence irzz when four letters picked without replacement from {i: 3, r: 13, z: 2}.
13/12240
What is prob of sequence ilmg when four letters picked without replacement from {e: 4, i: 1, l: 4, g: 3, m: 1}?
1/1430
What is prob of sequence vvdd when four letters picked without replacement from vdvddddddddd?
1/66
Calculate prob of sequence cc when two letters picked without replacement from dcdccbucuduccddu.
1/8
What is prob of sequence gn when two letters picked without replacement from ghgnc?
1/10
Two letters picked without replacement from yyywwyywyywnyyayll. What is prob of sequence la?
1/153
Four letters picked without replacement from {i: 4, e: 3, v: 5}. What is prob of sequence vevv?
1/66
Two letters picked without replacement from {o: 2, z: 1}. Give prob of sequence oo.
1/3
Calculate prob of sequence qqq when three letters picked without replacement from qqqqqqqqq.
1
What is prob of sequence uuvv when four letters picked without replacement from {q: 2, v: 1, u: 2, p: 1, f: 1}?
0
Four letters picked without replacement from {s: 3, u: 2, p: 2, x: 3, r: 1, m: 1}. What is prob of sequence rpsu?
1/990
Four letters picked without replacement from {o: 2, u: 1, e: 4, a: 2}. What is prob of sequence eeao?
1/63
Three letters picked without replacement from {b: 2, y: 9, g: 6, i: 1}. Give prob of sequence ibb.
1/2448
Three letters picked without replacement from {h: 6, n: 4, j: 2, v: 3, s: 1}. What is prob of sequence njv?
1/140
Two letters picked without replacement from {n: 7, q: 2}. What is prob of sequence nq?
7/36
Three letters picked without replacement from {s: 8, r: 1, n: 6}. What is prob of sequence sns?
8/65
Calculate prob of sequence ba when two letters picked without replacement from {g: 1, x: 2, a: 1, r: 4, b: 1}.
1/72
Three letters picked without replacement from {b: 2, p: 9}. Give prob of sequence ppb.
8/55
Four letters picked without replacement from {a: 11, i: 3}. What is prob of sequence aaii?
5/182
Three letters picked without replacement from {d: 2, n: 1, h: 1, z: 1, y: 2, w: 1}. What is prob of sequence dwy?
1/84
Calculate prob of sequence nnww when four letters picked without replacement from wwnwn.
1/10
What is prob of sequence aaac when four letters picked without replacement from aaaaacaaaaaaaaa?
1/15
What is prob of sequence cuuu when four letters picked without replacement from chccuuccchuu?
2/165
Four letters picked without replacement from cbqqbbcbbqqpc. What is prob of sequence cqcq?
3/715
Four letters picked without replacement from fxbpxxdxxbxbbbp. What is prob of sequence ppfd?
1/16380
What is prob of sequence lb when two letters picked without replacement from kkkbxhrlhkxl?
1/66
What is prob of sequence hwa when three letters picked without replacement from {v: 3, w: 1, k: 6, d: 4, a: 2, h: 2}?
1/1224
Calculate prob of sequence utts when four letters picked without replacement from {u: 2, t: 3, s: 3}.
3/140
Two letters picked without replacement from zzzzzzzbzzh. Give prob of sequence zb.
9/110
Three letters picked without replacement from {g: 1, r: 1, t: 2, a: 2, q: 2, w: 1}. Give prob of sequence ttg.
1/252
Three letters picked without replacement from pllvkmvlvzvklmllkzk. Give prob of sequence vvv.
4/969
Two letters picked without replacement from {q: 5, f: 2, w: 1, k: 6, p: 2, v: 3}. Give prob of sequence kf.
2/57
What is prob of sequence qz when two letters picked without replacement from zlzql?
1/10
What is prob of sequence rhr when three letters picked without replacement from {h: 1, r: 3, a: 4}?
1/56
Three letters picked without replacement from {v: 9, w: 2, p: 2, a: 1}. Give prob of sequence app.
1/1092
Calculate prob of sequence yeh when three letters picked withou
|
{
"pile_set_name": "DM Mathematics"
}
|
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