text
stringlengths 270
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0.03.
0.0192
Work out -1 * 0.567.
-0.567
-201 times -4
804
-0.1 times 247
-24.7
-147*0.4
-58.8
4526 times -0.4
-1810.4
0.4 * 38
15.2
-0.08 times 40
-3.2
What is 3 times -231?
-693
0.2*4.17
0.834
Work out 2 * -671.
-1342
What is 1.965 times 0.1?
0.1965
-1265 times 2
-2530
What is -1.4 times 0.4?
-0.56
Work out 60 * -0.15.
-9
Product of 0.3 and 211.
63.3
What is the product of -0.3 and 2.56?
-0.768
Work out -11.1 * 0.7.
-7.77
Multiply 164 and -0.1.
-16.4
-96*-40
3840
-5 times -208
1040
Calculate 4.2156*0.3.
1.26468
Product of -406.5 and 4.
-1626
What is 0.5 times -2.6?
-1.3
What is 40.89 times 0.5?
20.445
Calculate 0*0.269.
0
Multiply 31064 and 0.5.
15532
What is the product of 29.1 and -0.022?
-0.6402
What is -7.2 times -0.12?
0.864
Multiply -16 and 5.
-80
-30 * -0.06
1.8
What is -0.5 times -5.1?
2.55
-0.29*209
-60.61
-10 times 0.045
-0.45
What is 0.23 times -2.08?
-0.4784
Work out 0.09 * -4.01.
-0.3609
What is -34 times 0.23?
-7.82
-45.12*3
-135.36
Product of -0.28 and -1.59.
0.4452
What is the product of 653 and -0.4?
-261.2
-1455 times 0.2
-291
0.15 times 5
0.75
Product of 7 and 1771.
12397
Work out -0.06 * -4.49.
0.2694
Calculate 0.6*262.
157.2
Multiply -6271 and -5.
31355
-4 * 169
-676
What is -0.019 times 0.1?
-0.0019
-38 * 104
-3952
Calculate 0.2*0.0109.
0.00218
-0.1*-98
9.8
-4.2 times 4
-16.8
5 * 22
110
-1578 times 1
-1578
Multiply 0.2 and 300.4.
60.08
-0.1864 * 1.3
-0.24232
-26.35 times 0.3
-7.905
-11*0.8
-8.8
-8.98*-0.1
0.898
0.141 * 0.6
0.0846
Calculate 0.6*58.
34.8
What is 0.291 times 4?
1.164
What is the product of 20.167 and 1?
20.167
What is 1 times -0.29?
-0.29
0.4 times 25
10
-4909 times 0.5
-2454.5
Multiply -0.01769 and 2.
-0.03538
63*-11
-693
Multiply -0.2 and -0.189.
0.0378
What is the product of 3 and 0.013?
0.039
What is 5 times -0.188?
-0.94
Work out -8.08 * -7.
56.56
0.073*0.3
0.0219
What is -9691 times 0.5?
-4845.5
What is the product of 3 and -1004?
-3012
-0.06*-214
12.84
-8 * -0.99
7.92
Multiply 14 and -0.19.
-2.66
What is -4 times -2900?
11600
Calculate 0.2*184.
36.8
What is -0.5 times 186.1?
-93.05
Product of -0.05 and 0.05.
-0.0025
Work out -4.3 * -0.02.
0.086
Product of 0.2 and -0.64.
-0.128
Multiply -34 and -7.
238
Product of 2778 and 1.
2778
What is the product of 0.1 and -0.598?
-0.0598
Work out 49 * -203.
-9947
-83 times 0.15
-12.45
-85 times 0.7
-59.5
What is -4 times -64?
256
Multiply -714 and -5.
3570
0.5*-1.6
-0.8
What is 1058 times -1?
-1058
Calculate -0.395*-0.07.
0.02765
What is the product of 0.4 and -0.336?
-0.1344
1.037 times -7
-7.259
Work out -0.3693 * 0.2.
-0.07386
Multiply 2213 and -0.3.
-663.9
9 times 70.6
635.4
-0.4 * 0
0
Product of -377 and -0.1.
37.7
-74 * -14
1036
Product of -464 and 0.6.
-278.4
1*-0.048
-0.048
Calculate 4*-0.2483.
-0.9932
Work out 0.128 * 1.4.
0.1792
Calculate 0.3*-0.137.
-0.0411
2.3 times -0.4
-0.92
Calculate 55*-0.07.
-3.85
Product of -15.97 and 1.
-15.97
What is 0.01 times 4581?
45.81
Product of 2 and -90.
-180
22 times -120
-2640
-0.002*-0.5
0.001
Product of -0.1 and -8937.
893.7
Multiply 264 and 3.
792
Multiply 0.4 and -35.
-14
Product of -567 and -2.
1134
0.002*2
0.004
Multiply -0.059 and -0.047.
0.002773
Calculate 61*-0.08.
-4.88
0.4 * -4537
-1814.8
Work out 0.4 * -5883.
-2353.2
What is 1.3 times 12?
15.6
5306*4
21224
Multiply 7 and -7.
-49
4*-84
-336
-7012 * -0.4
2804.8
Calculate 0.316*-9.
-2.844
What is -0.1 times 3317?
-331.7
Product of -5769 and -5.
28845
-0.5 times -221
110.5
Work out 0.106 * 0.34.
0.03604
What is -0.03 times -1?
0.03
What is the product of -2.7 and -147?
396.9
273.91*0.1
27.391
Work out 0.04 * 0.1.
0.004
What is -0.04 times 36?
-1.44
-13*0.33
-4.29
What is -65 times -27?
1755
Work out -12 * 56.
-672
0.019 times -6
-0.114
What is 0.0272 times -0.27?
-0.007344
Multiply 5 and -29.
-145
Work out 36 * -0.476.
-17.136
-6 times -0.139
0.834
Product of -3 and 75.
-225
Multiply 769 and -6.
-4614
What is the product of -0.19 and 0?
0
Calculate 2*-178.
-356
What is the product of -0.3 and 4939?
-1481.7
Product of 0.3 and 501.
150.3
What is -3 times 0.1?
-0.3
Product of -1210 and 0.
0
Multiply 0.137 and -0.077.
-0.010549
-5 times -0.71
3.55
Product of 1.5439 and -0.3.
-0.46317
Calculate 4.432*-0.1.
-0.4432
Calculate -5*-3.
15
Multiply -218 and -0.1.
21.8
0.17*-1.8
-0.306
-1078 times -0.1
107.8
21 * -2.4
-50.4
1280 * 3
3840
What is 5 times -0.03?
-0.15
-1.1 * 0.2
-0.22
Calculate -0.2*2.
-0.4
What is the product of 4 and 502?
2008
Work out 45.01 * 0.06.
2.7006
Multiply 0.1 and -0.085.
-0.0085
What is the product of -0.097 and -10?
0.97
Product of -58 and 1.
-58
Calculate -293*0.2.
-58.6
Calculate -0.17*71.1.
-12.087
0.99 * 15
14.85
What is the product of -104.2 and -5?
521
Work out -1.3 * -0.21.
0.273
3 * 917
2751
2.04*0.5
1.02
-1.5*-0.4
0.6
0.126 times -0.036
-0.004536
1.15*1
1.15
Work out 356 * -1.
-356
4 * -136
-544
Calculate 0.9*679.
611.1
Product of -83.4 and 1.9.
-158.46
Work out -208 * -3.
624
1354 * -2
-2708
Product of 0.06 and 23.
1.38
0 * 6.2
0
Calculate 0.58*3.
1.74
Product of 0.4 and 35.
14
0.1047*0.5
0.05235
-0.55*-0.05
0.0275
Calculate 1.695*-4.
-6.78
Multiply 23154 and -1.
-23154
Multiply 0.1 and 2.9.
0.29
Work out -8 * -1408.
11264
Work out 4.3 * 2.5.
10.75
39*-5
-195
Product of 0.03 and 467.
14.01
Multiply 1963 and -5.
-9815
Multiply -42 and 276.
-11592
Multiply 0.838 and 0.5.
0.419
26.39*0.1
2.639
What is the product of -1 and -17.2?
17.2
Multiply -5 and -0.1339.
0.6695
Work out 0.009 * -1.
-0.009
Work out 16 * 218.
3488
Product of -4 and -17.54.
70.16
Product of 0.284 and 0.4.
0.1136
-0.12 * -4
0.48
Multiply 118 and -3.3.
-389.4
292 * -0.48
-140.16
-0.6 * 2991
-1794.6
0.3 times 37
11.1
Multiply 0.02 and -0.14.
-0.0028
Multiply 6 and 69.
414
Calculate -0.4*-0.003.
0.0012
Product of -0.5 and -49.
24.5
What is -0.1 times 0.31?
-0.031
0.1 * -3.6
-0.36
Product of -0.09 and -23.
2.07
-0.4*0.0237
-0.00948
Multiply -0.01 and 12.
-0.12
What is the product of -0.344 and -0.06?
0.02064
Work out 0.01 * -3.
-0.03
Calculate -7*14.88.
-104.16
-19.74*-3
59.22
-81*19
-1539
-111.5*0.5
-55.75
Work out -709 * 0.8.
-567.2
-0.9 times 0.029
-0.0261
Product of -0.5 and -35.
17.5
Product of -0.1 and 131.
-13.1
-0.28 * 0.05
-0.014
Product of -1290.2 and -1.
1290.2
-0.3*40
-12
Multiply -0.1 and 37.
-3.7
Calculate 17.7*-2.
-35.4
Product of -0.4544 and -5.
2.272
0.1*156
15.6
What is the product of -1730 and -3?
5190
Product of 655 and -0.1.
-65.5
Product of -219 and -0.3.
65.7
Product of -2 and 2.
-4
What is the product of -51 and 0.016?
-0.816
What is the product of 58 and 140?
8120
Multiply -0.006 and -2.
0.012
-0.1*905
-90.5
Calculate 0*798.
0
-5.1 times 0.11
-0.561
What is the product of -1 and -3532?
3532
Calculate 57*4.
228
4 * 3
12
What is -3873 times 0.3?
-1161.9
Product of -296 and -3.
888
Calculate -0.1*-65.
6.5
What is the product of -5 and 0.038?
-0.19
Multiply 6.83 and 0.3.
2.049
What is the product of -2.096 and 5?
-10.48
-546.6 times -2
1093.2
0.771 * -0.5
-0.3855
Work out -0.03 * -0.0175.
0.000525
Work out -27.2 * -0.09.
2.448
Work out 1.5 * 0.022.
0.033
What is 2 times 45?
90
Calculate -4*3.
-12
What is 0.1 times -142?
-14.2
What is 0.0298 times 0.2?
0.00596
Calculate -4261*-2.
8522
Calculate -1.6*0.15.
-0.24
Multiply 226 and -49.
-11074
Calculate 2.1*-0.06.
-0.126
Calculate 37*95.
3515
Product of 0.49 and 1.
0.49
What is 121 times -0.1?
-12.1
-17612 times -1
17612
2 times -5.37
-10.74
Calculate -3*127.
-381
Calculate 0.34*0.2.
0.068
-27 times 2.7
-72.9
8958 * -0.1
-895.8
Multiply 0.01 and -86.
-0.86
Calculate 4.2*1.2.
5.04
-0.072 * -2
0.144
What is the product of 0.084 and -3.2?
-0.2688
903*-0.1
-90.3
-141*35
-4935
Product of -0.14 and -1.2.
0.168
0.1609 * 3
0.4827
-0.95 * -0.19
0.1805
What is -2.1 times -0.132?
0.2772
What is the product of -635 and 0.5?
-317.5
-4 times 6.29
-25.16
Calculate -11*-0.03.
0.33
What is -1.846 times 0.1?
-0.1846
Work out -41 * -2.6.
106.6
Work out -561 * -0.3.
168.3
-817*0.02
-16.34
Calculate 0.18*0.1.
0.018
-7 times 46
-322
Multiply 0.1 and -2204.
-220.4
Work out 0.4 * 1586.
634.4
Work out -0.33 * 0.0434.
-0.014322
What is the product of -3 and -194?
582
-14 times 5.1
-71.4
Work out -1.2 * 48.5.
-58.2
Calculate 0.203*-0.5.
-0.1015
Work out -0.145 * -16.
2.32
Work out -5 * -0.2.
1
Work out 19 * 0.6.
11.4
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
a be v(k). Solve 0*l - 2*l = -a for l.
5
Let x be (-8)/10 - (-38)/10. Let v be ((-15)/(-3))/15*(12 + x). Suppose 8*b = v*b. Solve b*l + 10 = -2*l for l.
-5
Let l be 7 + (-2)/(0 - -2). Suppose -l = 2*z + 4. Let d(p) = -p**2 - 6*p - 3. Let i be d(z). Solve i = -f + 6 for f.
4
Suppose -26621*j + 56 = -26607*j. Let x be (-44)/(-10) - 8/20. Suppose 0 = -7*d + x*d + 9. Solve f + d = j*f for f.
1
Let r be (-1 + 0)/((-1)/4). Let d(x) = 6*x - 3. Let t be d(1). Suppose -2*z + t*u + 9 = 0, -5*u - 15 = -6*z + 5*z. Solve r = k - z*k for k.
4
Let n(b) = -b**3 + 28*b**2 - 5*b + 34. Let h be n(28). Let p = h + 110. Solve -p*j + 31 - 11 = 0 for j.
5
Let r be 32/80 + 23/5. Let y be 2 - (-5)/(5/(-2)). Let v be 1 + 10/4 + (-59)/(-118). Solve r*q - v*q + 1 = y for q.
-1
Suppose 352 = 2*r - 3*g, 2*r + 3*g = 7*g + 350. Let c = r + -171. Solve -c*p - 13 = 3 for p.
-2
Let d(z) = -z**2 - 12*z - 22. Let b be d(-9). Suppose 2 = b*w + 5*m - 43, 4*m - 12 = -2*w. Let q = 8 - 8. Solve u + 2*u + w = q for u.
-4
Suppose d + 10 = 3*q, -5*q + 35 = -0*d + 2*d. Let y = -21612 + 21634. Solve -q*v + 16*v + y = 0 for v.
-2
Let v be 21109/88 - (-19)/152. Solve -25*b - 23*b = -v for b.
5
Let r = 2 - 3. Let g be (-48)/(-9) - r/(-3). Suppose -54*x - 6*x = 15*x + 2*x. Solve x = h - g*h + 16 for h.
4
Suppose -25*o - 648 = -79*o. Suppose -g + 5*g = c + 19, -4*c = -4*g + 4. Let w be (-2)/(-4) + 3*(-30)/(-36). Solve -g*j - o = -w*j for j.
-4
Suppose -4*q = -6 - 2. Suppose -5*l - q = -12. Suppose 0 = -5*m + 4*i + 35, l*m - 5*i - 7 = 7. Solve 4*x + 23 = m for x.
-4
Suppose 0 = 73*r - 82*r + 18. Let g = -23 + 6. Let c = -9 - g. Solve -r*m - c = -4*m for m.
4
Let h be 5*-52*(50/(-40))/(25/10). Solve 5*p + h = 135 for p.
1
Let j = -792 - -762. Suppose 5*l - 97 = 53. Let s = j + l. Solve c + 3 = -s*c for c.
-3
Let q = -1827 - -1845. Solve 0 = q*b - 8*b + 40 for b.
-4
Suppose -3*y - k - 4*k = 28, -7 = -3*y + 2*k. Let x be (-25)/(y/(16/36) + 2). Suppose 2*o = 0, -4*h + 0*o = -2*o - x. Solve 0 = 5*u - 0*u + h for u.
-5
Let i = 23 + -13. Suppose 0*c = -5*c + i. Suppose 11*x - 6*x - d = 25, -3*x + 28 = c*d. Solve 5*y + x = 2*y for y.
-2
Let h(s) = s**3 + s**2 - s - 10. Let n be h(0). Let o be -3 - (-2)/2 - n. Let q = -60814 + 60817. Solve o*b = q*b for b.
0
Suppose -161*n = 72*n - 1398. Let r = 10 + -6. Let h be 2/r - (-6)/4. Solve -f = h*f + n for f.
-2
Let w be (-50)/(-35)*14*5. Let x = -99 + w. Solve x = -6*h + 5*h for h.
-1
Suppose -12*d - 283 - 143 = -154*d. Solve -d*r + 63 = 57 for r.
2
Suppose -12*c = -35 - 13. Suppose 4*y = 2*k - 3*k - 7, c*k - 56 = 5*y. Solve -k*x + 18 = -0*x for x.
2
Let o be ((-2)/(-4))/((-16)/(-128)). Suppose 4*i = 3*t - o, -12*t = -7*t + i + 1. Solve t = -3*v - 7 - 2 for v.
-3
Let c = -5163 + 5456. Solve -273 = -10*h - c for h.
-2
Let j be ((-10)/8)/((-32)/(-256)). Let g be (-2)/j - 31/155. Solve g = 9*m - 10*m + 3 for m.
3
Let h be 0*(36 + -12)/(-24). Suppose -4*f = -0*f - 20. Solve h = -f*m - 8 - 12 for m.
-4
Let r(f) = f**2 + 549*f + 72490. Let z be r(-221). Let b be 1 + (1 - (1 - 1)). Solve 12 = z*h + b*h for h.
3
Suppose -3*d + 5*z + 2 = -2*d, 3*z = 0. Suppose 2*k - d*x = 3*k - 5, 0 = -2*x. Suppose -4*i - 137 = -b - 253, 5*b = 4*i - 148. Solve k*r = -7 + i for r.
4
Suppose k = 2*k. Let n = -807 + 438. Let u = n - -377. Solve 2*o + k*o + u = 0 for o.
-4
Suppose -134*i - 136*i = -23*i + 58*i. Solve 71*v - 56*v = i for v.
0
Suppose 2*v - 2 = 4*v - 4*a, a + 12 = 3*v. Suppose v*n + 370 = -0*n. Let j = -74 - n. Solve j*b = -4*b + 4 for b.
1
Let p(j) = 90*j + 542. Let q be p(-6). Solve 0 = 11*y + q*y - 13 for y.
1
Let y = -1444 - -1520. Solve 14*h = y + 8 for h.
6
Let j be (-1668)/(-973)*7/3. Solve -6*s = j*s - 50 for s.
5
Let k be (4/(1*-2))/((-5)/35). Let u(w) be the third derivative of -w**4/6 + 47*w**3/6 - 48*w**2. Let c be u(11). Solve -k + 5 = c*q for q.
-3
Let x be ((2226/18)/7 - -1)*3*1. Solve -15 = 61*j - x*j for j.
-3
Let p be (((-14)/9)/(31/930))/((-2)/12). Solve 3*u + p = 286 for u.
2
Let k be (0/((2 - 3 - -2)*1))/2. Solve -4*c = -k*c + 16 for c.
-4
Suppose -5*z - 4*y = -50, 5*z - 3*y - 16 = -1. Solve -58*a + z*a = 260 for a.
-5
Suppose 0 = -10*c + 3*s + 169, -5*c = -3*s - 39 - 50. Solve -c*p + 56 = 24 for p.
2
Suppose -11*c + 483 = r, -r = -18*c + 20*c - 87. Solve -4*a + c = -15*a for a.
-4
Let d(u) = -30*u - 37*u + 37 + 69*u. Let y be d(-17). Suppose 3*k = c + 7 - 0, 13 = 5*k - y*c. Solve 0 = -k*w - 3*w + 25 for w.
5
Suppose 0 = 3*m - 2*s - 16, 2*m + 5*s = -0*m + 36. Let y be 0/(-3 + -3 + m). Let n = 31 - 16. Solve 5*i + 0*i + n = y for i.
-3
Suppose 0 = -6*m + 3*m + 4*r + 3465, m - 5*r - 1166 = 0. Suppose -m = c - 1169. Solve c*s + 16 = 10*s for s.
-2
Let v = 90 - 84. Suppose -2*n = -5*t + 14 - 0, -t + 5*n + 12 = 0. Suppose t*i = -0*i - 3*p - 4, 36 = 5*i - 4*p. Solve -i = -5*s + v for s.
2
Suppose 0 = j - 23 + 19. Suppose -5*g + j*f + 10 = 0, -4*g + 3*f = -2 - 6. Solve y + g*y + 12 = 0 for y.
-4
Let c be 0*(15/(-6) + 3). Suppose -2*g + 4 = c, -2*u + 5*u - g - 16 = 0. Solve -4 = 2*s + u for s.
-5
Let z = 3 + 4. Suppose w = z - 5. Suppose -2*j + 11 = -3*x, 4*j - 5*j - 2*x + w = 0. Solve s + 5 = j for s.
-1
Let y(r) = r**3 + 95*r**2 + 356*r - 24. Let w be y(-4). Let b = -24 + 38. Solve w*u - b = u for u.
2
Suppose 24 = -4*t + 28. Let x be ((-3)/(-2) + t)/(35/(-70)). Let l be ((x/2)/(-5))/((-19)/(-38)). Solve -4*n + 7 + l = 0 for n.
2
Let q = -62 + 64. Let o be (-2 + 1 + 1)/2. Let f be (-46)/(-6) + 4/12. Solve -f = -q*z - o*z for z.
4
Let t(g) = g - 28. Let q be t(12). Let s be -2 - (1 - 6)*q/(-20). Let o(k) = -k**2 + 5*k - 3. Let m be o(2). Solve -5*p + m*p + s = 0 for p.
1
Let s = 17 + -23. Let h be 2/s - 28/(-12). Let l = 179 - 176. Solve -h*b - l*b = -20 for b.
4
Suppose -6*y - 4 = 20. Let d be y/(8/(-26)) + 2. Solve d = 2*s + 5 for s.
5
Let g(n) = 897*n - 8031. Let c be g(9). Solve -14*f = -7*f - c for f.
6
Let z(m) = 15*m**2 + 20*m - 23. Let r be z(-7). Suppose -r*s + 571*s = -2. Solve s*y + 7 = 9*y for y.
1
Let v = -8945 - -8986. Solve v*g + 122 = -1 for g.
-3
Let a(z) = -146*z - 934. Let t be a(-7). Solve -t*i = -75*i - 52 for i.
4
Suppose 0 = -3*m - m + 8. Let w = 146 - 141. Let g be 0/(6/(-2) + w). Solve d = -m - g for d.
-2
Let j be ((-2)/10*-24)/(184/690). Solve -s - j = -22 for s.
4
Let u be 3 - (-14 - (-84)/(-11 - 1)). Let d = 6 - -2. Suppose -d*x = -4*x - u. Solve -4*f + x*f = 0 for f.
0
Let s(n) be the third derivative of 21*n**2 + 0*n + 11/60*n**5 + n**3 - 1/60*n**6 + 0 - 1/4*n**4. Let u be s(5). Solve 3*q = 7 - u for q.
2
Let l be (-1 - -3)/(1*-1). Let b be (l - 1)/3 - 0. Let a be (-5 + 5)*(-2 - b). Solve 0*z + z - 5 = a for z.
5
Suppose 7 = -5*j + 32. Suppose 5*s = 603 - 598. Suppose -3*n + y + 4 = -s, j = 5*n - y. Solve n = c + c for c.
0
Let t(z) be the first derivative of z**2/2 + 6*z + 27. Let c(l) = 7. Let m(p) = 3*c(p) - 2*t(p). Let v be m(2). Solve 0 = -0*y - v*y for y.
0
Let f(k) = -k**3 + 44*k**2 + 1033*k + 244. Let t be f(61). Solve t = -3*x + 8 - 5 for x.
1
Let k(h) = 2*h**2 - 16*h + 5. Let l be k(7). Let j be l/297*-6 + (-40)/(-22). Solve 0 = j*z - 4*z + 2 for z.
1
Let n be 4/16 + (-174405)/(-604). Solve 120 = 329*g - n*g for g.
3
Let h = 232 - 304. Let f be h/96*8/(-6). Solve f = -10*r + 9*r for r.
-1
Suppose -u - 36 = -5*u. Let q(s) = -s**3 + 9*s**2 + 2*s - 18. Let r be q(u). Suppose 0*z - z = 2*z. Solve -5*p + r*p + 20 = z for p.
4
Suppose 1450 = 596*n - 451*n. Solve -50 = n*b - 110 for b.
6
Suppose 3*v = -2*v - 0*v. Let l be ((1*-9)/(-3))/(4/36). Suppose -f + l - 7 = v. Solve 3*w = -2*w + f for w.
4
Let r = -30 - -25. Let w be 2/(r*(-8)/60). Solve 14 = -w*y + 5 for y.
-3
Let c(s) = s**2 - 21*s + 28. Let q be c(0). Solve 0 = 16*l + q + 36 for l.
-4
Suppose 3*w + 24 - 96 = 3*d, -4*d = 5*w - 84. Suppose -17*t + w*t = -6. Let k be t/(-2*(-1)/(-20)). Solve 5*o + k = -0 for o.
-4
Suppose 8*m - 10 = 3*m. Suppose -7 - 131 = 46*j. Let q be m/(-3)*(8 - 14 - j). Solve -q*f = -3*f - 4 for f.
-4
Let y be (3/6*0/(-3))/1. Suppose y = o - 7 + 2. Let m = -7 - -7. Solve m = -o*j + 7 + 13 for j.
4
Suppose 3*c = -12, 3*v + 2*c = 4*c - 4. Let s be (5 - v) + (1 + -4 - -5). Solve 7*u = s*u + 8 for u.
-2
Let y(m) = m**3 - 26*m**2 - 3*m + 81. Let t be y(26). Solve -t*z - 15 = 6 for z.
-7
Let q(d) = 2*d - 8. Let s be q(8). Suppose -7 = -b - s. Let m
|
{
"pile_set_name": "DM Mathematics"
}
|
4*l + 0*l)*(-4*l + 3*l + 0*l + (-3*l + 3*l + 3*l)*(1 - 3 + 3) + 2 + l - 2)*(1 - 1 - 2*l) in the form p*l**3 + x + q*l**2 + a*l and give p.
-24
Rearrange (-42*t - 89*t + 220*t)*(1 + 2*t - 1) to w*t**2 + l*t + y and give l.
0
Express 6*t + 90*t**2 - 6*t - 67*t**2 as i*t**2 + r + u*t and give u.
0
Express (-t**2 - t**2 + 0*t**2)*(-1 + 0 + 7)*(13*t**2 + 20*t**2 - 7*t**2) as r*t + i + z*t**2 + s*t**3 + j*t**4 and give j.
-312
Rearrange -9*k - 12*k + 9*k**3 + 5*k to u*k**2 + d*k + t*k**3 + b and give b.
0
Rearrange (-3 - f + 3)*(4*f + 0*f - 6*f) + 1 - f**2 - 1 - 4*f**2 - 2*f**2 - 4*f**2 to the form r*f**2 + h + y*f and give r.
-9
Rearrange 100 - 1697*z + 3395*z + 3*z**3 + z**2 - 1698*z to c*z + h*z**3 + f*z**2 + w and give f.
1
Rearrange 3*t**3 + 101*t**2 + 30*t + 101*t**2 + 104*t**2 - 308*t**2 to the form l*t**3 + u + v*t**2 + c*t and give l.
3
Rearrange (-71*q**2 + 6*q**2 + 29*q**2)*(0 - 3*q - 1 + 2)*(-4*q + 6*q - 3*q) to the form y*q**2 + v*q + w*q**4 + c + f*q**3 and give v.
0
Express 2*k**3 + 4*k**3 - 4*k**3 + (-48*k**3 + 9*k**3 + 12*k**3)*(1 - 3 + 0) in the form v*k**2 + y*k + q*k**3 + l and give v.
0
Express (845 - 463 - 702)*((-3 - 1 + 5)*(-4 + 2 + 1) - 5 + 2 + 2)*(-2 + 2 + 2*h) as j + y*h and give y.
1280
Rearrange 1 - 2*y**3 - 1 + (-5482 + 339*y + 5482)*(-7*y + 4*y**2 + 7*y) to the form c*y**2 + n*y + m*y**3 + l and give m.
1354
Express 5*z**4 - 3282*z**2 - 4*z**4 + 3143*z**2 - 3*z**4 + 4*z**4 - 3*z**3 as f + o*z**2 + p*z + u*z**4 + j*z**3 and give o.
-139
Rearrange (-1 - 8*m - 8*m + 22*m)*(1019 - 1019 - 217*m**3) to the form l*m**4 + f*m + k + o*m**3 + u*m**2 and give o.
217
Express 568*j + 11*j - 143*j + 364*j + 706*j in the form f*j + b and give b.
0
Express (-69 - 137 + 94 + (-1 + 2 + 0)*(-2 - 1 + 2) + 1 - 2 + 0 + 4 - 3 + 0)*(-4*t**2 - 5*t + 5*t) as j*t**2 + o + n*t and give j.
452
Rearrange (9*i - 6*i**2 - 9*i)*(-99*i**2 + 2 + 82*i**2 + 4) to the form o + y*i**4 + j*i + x*i**2 + w*i**3 and give y.
102
Express -2*c - c**3 + 4*c**3 - 13 - 2*c**3 - 14 + 10 in the form t*c + b*c**3 + u + l*c**2 and give b.
1
Rearrange -530*w**4 + 528*w**4 - 2*w**3 - 3*w - 1 - 13 to the form t*w**2 + b + n*w + c*w**3 + o*w**4 and give c.
-2
Express 23 - 2*s**2 - 23*s**4 - s**3 - 2*s - s**4 - 20 in the form i*s**4 + d*s + z + w*s**3 + u*s**2 and give u.
-2
Rearrange 156*j**2 + 16*j**2 - 90*j**2 - 2*j - 293*j**2 to the form t*j**2 + b*j + k and give k.
0
Express (572*g - 4069*g - 559*g)*(0 - 4 + 2) as l*g + f and give f.
0
Express f**2 + 43*f + 16 + 2 - 17 in the form i + c*f + w*f**2 and give c.
43
Rearrange b - 2*b - b - 11 + b**4 + 9*b**2 - 15*b**2 + b to w*b**4 + c + z*b**2 + v*b**3 + s*b and give c.
-11
Express (2 - 2 - 1)*(-5*h**3 + 2*h**3 + 5*h**3) - 6*h**3 + 3*h**3 + h**3 + 5*h**3 + 24*h**3 + 2*h**3 in the form y + p*h**3 + v*h**2 + x*h and give v.
0
Express -17*o**2 + 8*o**4 + 0 - o**3 + 3*o**2 + 3*o**2 + 9*o**2 - 4 in the form u*o**2 + x*o + z*o**3 + p + s*o**4 and give x.
0
Express (0*o + 4*o - 2*o)*(3*o + 0*o + 7*o + (-1 - 1 + 1)*(-o - o + o) - 2*o - 2*o + 5*o)*(-3 - 5*o + 3) in the form f*o**2 + d*o**3 + p*o + l and give d.
-120
Express (-q**3 - q**3 + 0*q**3)*(-3 + 3 - 2) + (-86*q - 60*q - 63*q)*(-3*q**2 - 2*q**2 + 4*q**2) as u*q**2 + z*q**3 + l + g*q and give z.
213
Rearrange -4*r**2 - 4*r**2 - 4 - 12*r**2 - 2*r**3 - 20*r + 18*r**2 to the form u*r**2 + i*r + y*r**3 + j and give i.
-20
Rearrange (-2*q + 2*q + q**3)*(-11 - 24781*q + 12413*q + 12548*q) to the form r*q**2 + j*q + z*q**3 + c*q**4 + k and give z.
-11
Express (101*t + 104*t - 2 - 200*t)*(0*t + 5*t - 4*t) in the form q*t + g*t**2 + m and give g.
5
Express -8*r + 83*r - 2 + 3 + 62*r as q + b*r and give b.
137
Express (3*y + 0*y - 4*y)*((-15*y - 5*y + 2*y)*(5 - 6 + 3) + 42*y - 34*y + 33*y) in the form w*y**2 + v*y + l and give w.
-5
Express -34 - 20*m**2 - 9 + 42 as f*m + c*m**2 + j and give f.
0
Express -14*c + 63*c**3 + 9*c + 11*c**2 - 5*c**2 + 4*c - 10*c**2 as k*c + q + z*c**2 + o*c**3 and give q.
0
Rearrange -2*z + 0*z + 0*z + (-1 + 0 - 2)*(19 - 19 + 17*z) + (2 + 0 - 4)*(0*z - 2*z + 0*z) to j + d*z and give d.
-49
Express w**2 - w**2 + w**2 + (3*w - w - w)*(1 - 2*w - 1) + 3*w - 3*w + 3*w**2 + 60 - 13*w**2 - 60 as u*w**2 + l + a*w and give u.
-11
Rearrange (-3 - 1 + 5)*(-2*u**3 + u**3 + 0*u**3) + 0*u**3 + u**3 + u**3 + 58*u**3 + 97*u**3 - 217*u**3 to t + v*u**3 + b*u**2 + h*u and give v.
-61
Express -7 + 9 + 1144*b**2 - 2 - 80*b**2 as l*b**2 + y + p*b and give l.
1064
Rearrange -25 + 25 - 127*y**3 + 19*y**3 + (0 + 2*y**2 + 0)*(-4*y - 2*y + 0*y) to l*y**3 + h*y + x*y**2 + r and give l.
-120
Express -51*u**2 + 79*u - 34*u**2 - 77*u as o + c*u**2 + m*u and give m.
2
Rearrange (3*w - 3*w + w**3)*((0 + 2 - 4)*(-37 - 30 - 59) - 4 + 2 + 3) to the form c*w + d + r*w**3 + o*w**2 and give r.
253
Rearrange (118*o**4 + 113*o**4 + 71*o**4 + 55*o**4)*(-2 - 5 + 5) to i*o + z*o**2 + q + t*o**4 + x*o**3 and give t.
-714
Express -19*t**3 + 30*t + t**3 + t**3 + 7*t**3 in the form l*t + j*t**3 + p*t**2 + a and give j.
-10
Rearrange ((13 - 2 + 3)*(2*z - 2*z - z) + (0*z + z - 2*z)*(2 - 2 - 2))*(4*z**2 - z**2 - z**2) to r + d*z**3 + u*z + y*z**2 and give d.
-24
Express -1 + 3 - 37*z - 2*z**3 - 1 + 52*z in the form c*z + m + t*z**3 + a*z**2 and give c.
15
Rearrange -5*p**2 + 2 - 33*p**2 + 8*p**2 to w + q*p**2 + u*p and give q.
-30
Rearrange (-1 + 2 + 2)*(-3*o - o + 2*o) + 2*o - 4 + 4 + (2*o + 0*o + 0*o)*(1 - 1 - 2) + 85*o - 77*o + 48*o to the form x + v*o and give v.
48
Rearrange (6 - 6 - 54)*(4*r - 10*r - 10*r) + 2*r - 6*r + 2*r to the form y*r + h and give y.
862
Rearrange 5*s**3 + 2*s**3 - 5*s**3 + 0*s**3 + 8*s**2 - 3*s**4 to w + b*s + j*s**4 + i*s**2 + m*s**3 and give m.
2
Rearrange 2 + 8*r - 3 + 9*r - 7*r + 22*r to the form d*r + i and give d.
32
Rearrange (f**2 - 3*f**2 + 3*f**2)*(1 - 6*f**2 - 1) - f**4 + 6*f**4 - 4*f**4 to m*f**4 + s + d*f**2 + n*f**3 + w*f and give m.
-5
Express 122752*w - 620*w**2 - 122752*w in the form d*w + l*w**2 + b and give l.
-620
Express 3*t**4 + 0*t - 2 - t - 2*t**4 + 2*t - 240*t**3 + 242*t**3 in the form g + x*t**4 + p*t + b*t**3 + u*t**2 and give p.
1
Rearrange -1 - 90*x**2 - 96*x**2 + 183*x**2 to the form j + l*x + p*x**2 and give p.
-3
Rearrange 6*q**4 - 6*q**4 + q**4 - 10*q - 11*q**2 + 2*q**3 + 10*q**2 to the form f*q**3 + o*q**2 + y*q + n*q**4 + x and give n.
1
Express -3*w + 3*w + w + 30 - 4*w + (-4*w - 2*w - 2*w)*(5 - 3 - 3) as n*w + c and give n.
5
Express (-6*f + f + 2*f)*(-f**2 + f**2 + 2*f**2) - 3*f + 0*f + 4*f - 3*f**3 + 52*f**3 + 1967*f - 1967*f in the form g*f + r + q*f**2 + i*f**3 and give i.
43
Rearrange u**2 - 3 + 0*u + 2*u - 10 + 0*u + 12 - 4*u**4 + 5*u**3 to the form x*u**4 + c + p*u + j*u**2 + q*u**3 and give x.
-4
Express (-4*q**3 + 3*q**3 + 0*q**3)*(-3 - 1 + 2) + (4*q + 2*q - 4*q)*(-19*q**2 - q**2 + 104*q**2) in the form i*q**2 + t + l*q**3 + p*q and give l.
170
Rearrange 41*b**2 + 80*b + 2*b**3 - 21*b**2 + 80*b - 20*b**2 to the form j*b**2 + s*b + w + u*b**3 and give u.
2
Express -9*o**2 + 8*o + o**3 + 1 + 6*o - 13*o as t*o**2 + x*o**3 + j*o + i and give x.
1
Rearrange (2*a - 4*a - 7*a)*(-12 - 8 + 16)*(4 - 2 - 1)*(-1 - 2*a + 1) + a**2 - 4*a**2 + 7*a**2 to the form r + h*a + u*a**2 and give u.
-68
Rearrange (s + 3*s - 5*s)*(-3 + 1 + 3)*(0 + 4 - 3)*(-63*s + 63*s + 88*s**3) to m*s**4 + z + a*s + y*s**3 + d*s**2 and give m.
-88
Rearrange 9*l + 27*l**2 - l**3 - 25*l**2 - 10*l to the form n*l + j + w*l**3 + m*l**2 and give n.
-1
Express -18*t + 19*t + 41*t in the form x*t + n and give x.
42
Express 57*n + 0*n**3 - 5*n**4 - 30*n + 2*n**4 - 4 - 29*n + 2*n**3 in the form f*n + p*n**2 + v + t*n**4 + w*n**3 and give t.
-3
Express 3*w**3 + 63 - 126 + 2*w + 9*w**4 + 64 + 0*w in the form u*w**2 + m*w**4 + o*w + t + c*w**3 and give o.
2
Rearrange (-9 + 55*d + 71*d - 110*d)*(-d - d + 0*d) to the form a*d + u*d**2 + h and give u.
-32
Rearrange -138*l**2 - 26651*l + 26651*l to the form y*l**2 + n + f*l and give y.
-138
Express 697*i**2 - 697*i**2 - 4 + 2*i**3 + 2*i as c*i**2 + v*i + o + y*i**3 and give c.
0
Express u**4 + 21*u**3 - 16*u**3 - 4*u**4 + 36*u**3 - 1 + 2 as a*u**2 + l*u**3 + h*u + s + d*u**4 and give l.
41
Express (-4*q**2 + 2*q**2 + q**2)*(3 - q - 3)*(-3 + 0 + 4)*(-1831*q + 1845*q - 11 + 10) in the form h*q**3 + l + w*q**4 + x*q + b*q**2 and give h.
|
{
"pile_set_name": "DM Mathematics"
}
|
6).
506
Suppose -18*w + 106*w - 704 = 0. Calculate the smallest common multiple of 20 and w.
40
Let p = 23 + -23. Let o be 6/21 - 24/(-14). Suppose p = -o*j + 40 - 0. Calculate the lowest common multiple of 16 and j.
80
Calculate the least common multiple of (-4)/(-34) + 83136/816 and 18.
306
Let u be (32/(-5))/((-6)/60). Suppose 2*g - 3*a - 3 = -u, -a = -5. Calculate the least common multiple of -3 + 0/2 - g and 28.
140
Let o be ((-2)/7)/((-3)/21). What is the smallest common multiple of 10 and 3/(-6)*o + 17?
80
Suppose 19175 = 2*c - 3*d, c + 6*d - 9589 = 7*d. Let l = c - 57415/6. Calculate the common denominator of l and 12/42 + (-150)/(-112).
24
Let g = 16 + -10. Let a(i) = i**2 - 12*i + 35. Let o(f) = 4*f - 15. Let l be o(6). Calculate the smallest common multiple of a(l) and g.
24
Suppose 21*g = 10*g + 132. Calculate the lowest common multiple of 398 and g.
2388
Let u = -32 + 55. Suppose -3*m = -l + 2*l - u, 4*l = -m + 48. What is the smallest common multiple of l and -32 - (-8 - (-300)/(-12))?
11
Let f = -14 - -14. Find the common denominator of -34/3 and -4 + f + (-59)/(-8).
24
Let w = -6493054 + 143090461/22. Let a = -11060 + w. Calculate the common denominator of -15/4 and a.
44
Let o = -337 + 371. What is the least common multiple of 20 and o?
340
Let k = -621 + 8663/14. Let o = -253/7 - -2099/42. What is the common denominator of o and k?
42
What is the common denominator of 218/(-216) - ((-21)/(-42) + -1) and -145/18?
108
Let y(p) = 3*p + 19. Let k be y(-7). Let b be k + -2*(-284)/(-40). Let f = 33/10 - b. What is the common denominator of -25/6 and f?
6
Let j(r) = r**2 - r - 6. Let p(y) = -y**2 + y + 6. Let s(c) = 6*j(c) + 5*p(c). Let d be s(-3). What is the common denominator of d/44 + -6 + 10 and -121/12?
132
Suppose 0*o - 5*o = -60. Suppose 5*w + 21 = 71. Calculate the smallest common multiple of w and o.
60
Suppose 2*h - 4749 = -y, -5*y + 0*h + 23723 = -h. Suppose 0*u = u, 5*m - 5*u + y = 0. Let r = -7535/8 - m. Find the common denominator of r and -97/42.
168
Suppose -51 = 3*p - c + 4*c, 3*c + 23 = -p. Calculate the common denominator of 33/32 and (-783)/330 - p/(-35).
352
Let y = 6 - 3. Suppose -2*j - m + 7 = 0, j - 4*m - 22 = -j. Suppose 0 = 4*s + 5*d - 23, 0*s + j*d - 19 = -2*s. What is the lowest common multiple of y and s?
6
Let k be (21/(-28))/(1/(-32)). Let q = -10 + k. What is the least common multiple of q and 6?
42
Let u be ((-66)/5)/(10/5575). Let d be 4 + -3 - (-161923)/22. Let i = d + u. Calculate the common denominator of i and -19/12.
132
What is the least common multiple of 40/6*(-12)/8*-1 and 1?
10
Calculate the smallest common multiple of ((-20)/25)/(-2) + (-76)/(-10) and 8.
8
Let k = -2325/2 - -1133. Find the common denominator of k and 44/3.
6
Let o = -5515 + 5523. Let j = -75 - -160. What is the smallest common multiple of o and j?
680
What is the common denominator of (1275/50)/((-198)/16) + 2 and -65/21?
231
Let y(z) = -6*z + 26. Calculate the least common multiple of 12 and y(-1).
96
Suppose -3*c + 9*c = 36. What is the smallest common multiple of c and 21?
42
Let w = -427217/121164 - -481/138. Find the common denominator of 13/14 and w.
12292
Let w = -123 - -103. What is the common denominator of ((-124)/w - 4) + (-4)/(-6) and 87/50?
150
What is the common denominator of 27/20 and 14/2 + (-969)/108?
180
Let d(x) = -x**2 + 3*x + 2. Let r be d(4). Let l(k) = 4*k**2 + 2*k + 4. What is the lowest common multiple of (-1 + -17)*1*-1 and l(r)?
144
Let w = 20536 - 616141/30. What is the common denominator of (-16)/(-14) + (-4680)/2457 and w?
210
Let o = -9/140 + -389/210. Calculate the common denominator of 73/52 and o.
156
Suppose -2718 = -6*q - 3*q. What is the common denominator of ((-86)/(-6))/(57/(-9)) and (-12)/(-18) - q/48?
152
Find the common denominator of (-12)/10*(-9)/6 and 6/(-8)*((-2)/(-7))/((-45)/4445).
30
What is the common denominator of ((-262)/3)/((-54)/18 + 163) and -11/4?
240
Calculate the least common multiple of 9 + 8 - (-2 + 4) and 45.
45
Let l(o) = 13*o**2 + 4*o - 2. What is the least common multiple of 5 and l(1)?
15
Suppose -607 - 53 = 5*o. Calculate the common denominator of -67/10 and 46/o - 1/3.
110
Let x(l) = -37*l - 37. Let y be x(-14). Let m = -1933/4 + y. What is the common denominator of m and (-39)/(-42)*(-14)/(-20)?
20
Let r = -2332 + 2342. Calculate the smallest common multiple of r and 312.
1560
Let o = 14771 - 265787/18. Calculate the common denominator of -46/27 and o.
54
Suppose 1 + 9 = 5*u. Suppose q = 4*p + 10, -2*p + 20 = 2*q - p. Calculate the lowest common multiple of q and u.
10
Let z be (-7886)/(10/(-25) + 2). Let n = z - -4953. What is the common denominator of n and 50/9?
36
Suppose 16 = -4*m - 12. Calculate the common denominator of m/(-8)*(-3)/(-7) and (-4)/8 - -3*6/(-20).
40
Suppose -h = g - 6, -5*g + 36 = 3*h - h. Calculate the least common multiple of 43 and g.
344
Let s = 12541/6006 + -221/77. Find the common denominator of s and -1/9.
234
Suppose -4*m + 20 + 28 = 0. Calculate the common denominator of 78/(-88)*(-3)/18*-28 and ((-171)/m)/((-33)/6).
22
Suppose -3*r = -2*r - 2. Suppose -40 = -r*l - 2*l. Suppose 3*i = 40 - l. What is the smallest common multiple of i and 11?
110
Calculate the smallest common multiple of (9/3 - 4)*(-10 + 5) and 9.
45
Suppose -4*q = -15 - 37. Suppose j + q = 4. Let w = j + 17. What is the lowest common multiple of 70 and w?
280
Let g(t) = -4*t - 12. Let f be g(-7). Let h be 24/f - (-155)/(-6). Let u = h + 89/6. Find the common denominator of u and 53/4.
4
Let x(w) = 11*w**3 + 3*w - 2. Let o be x(2). Let q = o - 80. Calculate the smallest common multiple of 32 and q.
96
Let i = -5 - -11. Find the common denominator of -35/11 and 20/i + 4 + 4.
33
Let b be ((-12)/(-16))/(5/(-20)). Let u = 3467/159 - -3/106. Find the common denominator of u and (((-162)/(-32))/(-1))/(-2 - b).
48
Calculate the lowest common multiple of 8/12 - 80/(-24) and 17.
68
Let m(v) = v + 115. Calculate the least common multiple of m(-20) and 60.
1140
Calculate the common denominator of ((-1)/9)/(261/(-14355)) and 2 + 1 + 114/27.
9
Let q = -48519/16 - -3034. Find the common denominator of q and (-4 - 3/54*573) + (-2)/(-6).
16
What is the common denominator of 103/44 and -6 - (5 + (-622)/110 + -5)?
220
Let d = 8758 + -87473/10. Let c = -5/114 - 4163/1254. What is the common denominator of d and c?
110
Find the common denominator of (-2563)/(-14388) + (-1)/6 and -65/4.
436
Let g(y) = y**3 - 6*y**2 + 5*y - 6. Let r be g(6). Suppose 0*o = -6*o - r. Find the common denominator of -83/16 and o/(-18) - 53/198.
176
Let f be -4 + 3 + (2 - -2). Let h be f/18*3*20. Calculate the common denominator of 14/4 - (-2)/h and 41/20.
20
Let v = 19/6 - 125/39. Let k = 47/39 + v. Calculate the common denominator of k and -9 + 247/60 + 1/(-5).
12
What is the common denominator of (-504)/(-546) + 1/13 and (110/6)/((-2)/3)?
2
Suppose 0 = -2*c + 2*a - 183 - 297, 0 = -4*c + 5*a - 957. Let u = c - -1211/5. Calculate the common denominator of u and 25/8.
40
Suppose q - 6 = 10. Suppose -s + q = -0*s. Suppose 4*f = 44 + 20. What is the lowest common multiple of f and s?
16
Let n = -1048 + 1108. Calculate the lowest common multiple of n and 432.
2160
Let k = 2/295 - 2101/5310. Calculate the common denominator of -21/26 and k.
234
Find the common denominator of 2997/(-2754)*2/18 and -151/18.
306
Let r = -15/1894 + -97391/18940. Find the common denominator of r and (-2256)/(-32)*2/(-36).
60
Suppose -11*b = 6*b - 357. Calculate the smallest common multiple of 33 and b.
231
Suppose 3*q - 4*v - 192 = 0, -3*v + 6 + 3 = 0. Suppose 3*c = i - 6*i + q, -20 = 5*c. Calculate the lowest common multiple of i and 2.
16
Let c be 24/(-9)*(-147)/(-4). Calculate the least common multiple of (-26)/(-65) + c/(-5) and 2.
20
Let v(i) be the third derivative of -i**4/12 - 4*i**3 + 4*i**2. Suppose -2*b - 29 = 1. Calculate the least common multiple of 4 and v(b).
12
Let l = -60909/25858 + -3/1847. What is the common denominator of -109/40 and l?
280
Let q(p) = -p + 3. Let c be q(3). Suppose -5*u + 9*u = 36. Suppose -h + 3*s - 1 = 0, 5*h + c*h = s + u. What is the lowest common multiple of h and 4?
4
Suppose 6*p - 22 = p + 2*x, p - 2*x = -2. Suppose 5*k - 48 = 12. Calculate the least common multiple of k and p.
|
{
"pile_set_name": "DM Mathematics"
}
|
mplify ((z/((z*((z**(1/40)*z)/z)/z)/z))/(z*(z/(z/z**(-15/7)*z))/z)*z*z/z**(11/2)*(z**(1/26)*z)/z)**(-5/3) assuming z is positive.
z**(-6029/2184)
Simplify ((d*((d**(-4)*d)/d)/d)/d**(-2/5))/(((d/d**(-4/7))/d)/d**(-5))*(d**0/(d**(4/9)*d))/(d**(1/2))**19 assuming d is positive.
d**(-12673/630)
Simplify ((c**(-6)/c*c**(-2)*c)/(c/(c/c**(-25)))**(-41))**12 assuming c is positive.
c**(-12396)
Simplify ((l*l*l**(-21)*l*l)**(3/20)*l**1*l/l**(-2/7))**(-19) assuming l is positive.
l**(703/140)
Simplify ((m**(-4))**(-4/11)*m*(m/(m**2/m))/m*m**(2/5)*m)**46 assuming m is positive.
m**(7222/55)
Simplify ((((k**(-2/11)*k)/((k*k/(k*k/(k*k**(-11)*k)))/k))/((k*(k/(k*k*k**5))/k)/k**(1/4)))**(2/83))**(-39) assuming k is positive.
k**(-29289/1826)
Simplify (((k*(k*k/(k/k**(-6/11)))/k)/(k/(k*k**5))*(k**(-2/3))**(9/4))**(-3))**(-22) assuming k is positive.
k**261
Simplify ((q*q*(q*q**(2/5)*q)/q)**42*(q**(-2)*q)**6)**(-42) assuming q is positive.
q**(-28728/5)
Simplify ((((u/(u*u**25))**16)**(15/4))**40)**(-17) assuming u is positive.
u**1020000
Simplify (f/(f*f*(f/(f/(f*f*f**(-38)*f)))/f*f)*f**(-20))/((f*f*f*f/(f**(31/2)/f)*f)/(f/f**(2/9))) assuming f is positive.
f**(437/18)
Simplify ((b*b**(-1))/(b*b/(b/b**(-6))))**31*(b/(b**(1/4)/b*b*b)*b**1)/(b*b**5*b**(-6)) assuming b is positive.
b**(623/4)
Simplify (z**6*z**(-1/2))/(z*z/((z*z**(-2/3))/z)*z)**(-43)*z**4*z*z*z**(-4)*(z/((z**6/z)/z))/((z*(z**(-2/7)*z)/z)/z) assuming z is positive.
z**(6823/42)
Simplify ((((t**(-2/5)/t)**10)**21)**(1/19))**(-42) assuming t is positive.
t**(12348/19)
Simplify (((((c/(c*c/(c**2*c)*c))/c)/c**(-5/3))**(-8/5))**(-25/3))**(-30) assuming c is positive.
c**(-2000/3)
Simplify (((n**(-1/9)*n)/n)/(n**(-2)/n))**(-5)/((n**(1/2))**11*n**(1/5)*n/(n**(-1/8)/n)*n*n*n) assuming n is positive.
n**(-9097/360)
Simplify (o/o**(-1/2))**48/(o**8*(o/(o*o/(o**(2/11)/o)*o))/o)*o**3/((o/o**(-7))/o)*(o**(1/4))**(-44) assuming o is positive.
o**(581/11)
Simplify (i**(-26)/i)**(-34)*(i/(i/(i*i/i**(-4/27))))/(i/i**(2/51)) assuming i is positive.
i**(421907/459)
Simplify (m*m/(m*m**(-14))*m**(26/5)*(((m/((m/m**(-1))/m)*m)/m)/m*m)/(m/m**(3/14)*m))**43 assuming m is positive.
m**(55427/70)
Simplify (j*((j*j**6*j)/j)/j*j**3)**22/(j**(-3/5)/j**(2/7))**(-11) assuming j is positive.
j**(7359/35)
Simplify (((((d**(-1/2)*d)/d)**(-20))**(-2/9))**(-48))**(-1/7) assuming d is positive.
d**(-320/21)
Simplify ((a/(a*a/((a**0/a)/a)*a))**44/(((a*a**5)/a)/(a/a**(-1/5))))/(a*a**(-2/7)*a*a/a**(1/4))**(-15) assuming a is positive.
a**(-19997/140)
Simplify (d**(-5/3)*d/d**9)**2/((d**(-1))**(6/7))**(-6/11) assuming d is positive.
d**(-4574/231)
Simplify ((m*m**2)**(-11/4)*m**4/(m**(1/4)*m))/((((m**(2/7)*m)/m*m)/m)**7*(((m*m*m**2/m*m)/m)/m)**(3/26)) assuming m is positive.
m**(-201/26)
Simplify (h**(-2/41)*h**(2/13))**35/((h/(h*h*h/((h*h**5)/h)))/(h*h/h**(-8)))**(1/41) assuming h is positive.
h**(2051/533)
Simplify ((y*y**(6/13))/(y**(-5/3)*y)*(y**(5/4)/y)/(y*y**3))**(-16) assuming y is positive.
y**(1012/39)
Simplify ((p*p**(-5/6)/p)**29*p/p**(-20)*p**(-1/14)/p)**(-13/2) assuming p is positive.
p**(1157/42)
Simplify (s**8*s*s*s**(-1/3)/s)**(-15)*((s**(2/7)/s)**(-5))**(-2/21) assuming s is positive.
s**(-19160/147)
Simplify ((y**1/y)**12)**(-48)*((y/(y*(y*(y*y**2*y*y)/y)/y))**(-17))**23 assuming y is positive.
y**1564
Simplify (h**(-3)/h**(-1))**(-13)/((h**0*h**(-5)/h*h)/(h**(-6)/h*((h**(2/5)/h)/h)/h*h)) assuming h is positive.
h**(112/5)
Simplify (a*((a**1/a)/a)/a)**41/(a**(-6)*a**(-4))*a**(1/7)*a**5*(a/a**(-5))/a**1 assuming a is positive.
a**(-146/7)
Simplify ((m/m**(-1))**(2/13)/(m**(-4)/(m*(m*m**2*m)/m)))/(((m/m**(1/2))/m)/(m*m/(m**(-6)/m*m))*m**(-2)/(m/(m/(m/(m**(1/2)/m)))*m)) assuming m is positive.
m**(277/13)
Simplify ((w**(-2/9)/w*(w*w/w**(1/3))/w*w)/(w*(w*w**(-2/5))/w*w)**(5/18))/((w**(1/7)/w**(-2/3))/(w**(1/3))**(-31)) assuming w is positive.
w**(-78/7)
Simplify ((j*j**(1/3))/j)**(-6/25)*j**(-2/33)*j*j**0*j*((j**(9/7)/j)/j**(-10))**(-8) assuming j is positive.
j**(-464462/5775)
Simplify (w**10/w**(-4))**(-44)/((w**0)**(-31)/(w*w**(-2/9)*w*w**(-1)/w)) assuming w is positive.
w**(-5546/9)
Simplify u/u**(1/13)*(u/(u*u/(u**(-3)/u)*u))/u*((u**(1/2)*u)/u)/u*u**2*(u**(2/7)*u/u**(8/3))**(-26) assuming u is positive.
u**(17105/546)
Simplify (((i*i**(-3/17)/i)/((i/i**(2/3))/i))**(-5/11))**44 assuming i is positive.
i**(-500/51)
Simplify q/q**(2/11)*q/(q/(q/q**(-27)))*q*(q/(q*q**(2/17)/q*q*q)*q)**(-16) assuming q is positive.
q**(5928/187)
Simplify (((p*p**(1/7))/((p**(2/11)*p)/p))/((p/p**(18/11)*p)/(p*p**(-20))))**(-15/8) assuming p is positive.
p**(21255/616)
Simplify (((w**(-5)/(w/(w*w**(4/5))))**(-6))**44)**(1/25) assuming w is positive.
w**(5544/125)
Simplify (a**(-2/5)*a)**(-28/5)*a/(a*a/a**(6/7)*a)*a*a**(-3)*((a*a**(-3)*a)/(a*a*a**(-3)*a))**(2/37) assuming a is positive.
a**(-42456/6475)
Simplify ((((o*o*o**(-5/6)*o*o)/((o*o**11*o)/o))**(1/8))**25)**(-5/2) assuming o is positive.
o**(6625/96)
Simplify ((n**(-2/7)*n)/(n**(1/6)/n))**(-36)/((n**(-1)/n)**(-2/59)/(n**(2/5)/n)**(-14)) assuming n is positive.
n**(-97844/2065)
Simplify ((z*z*z**(2/7))**(-39)*(z**(-3/8)/z)/(z/((z/z**(-6))/z)))/((z**1*z)**(-45)/(z**3/(z**(1/4)*z))) assuming z is positive.
z**(349/56)
Simplify (x**(-2))**(-29)*(x**(2/5))**(2/21)*((x*x**(-1))/x*x**(-9))/(x**(-1/3))**32 assuming x is positive.
x**(6164/105)
Simplify ((g**(2/3)*g/((g**(3/16)/g)/g))**5)**(-9) assuming g is positive.
g**(-2505/16)
Simplify (((f**(-19)/f)**(-2/9))**49)**41 assuming f is positive.
f**(80360/9)
Simplify ((k*k/(k*k**(2/3)))/k**(-1/3)*(k*k**6)/(k/((k/(k/(k**0/k))*k)/k)))/(k**(-5)*k*k**(-4))**(-8/11) assuming k is positive.
k**(-5/33)
Simplify ((k*k**(-6))/k**(-1/3)*(k/(k/(k/k**(-1)*k)))**(-10/7))/((k*(k*k*k**(-1))/k)**(22/5)/(((k*k**5)/k)/(k**(-3/2)/k))) assuming k is positive.
k**(-1229/210)
Simplify (((k*(k**5*k)/k*k*k)/k)/((k/(k/(k**(1/2)*k)))/k*k))/(k**(2/7))**(-1/7)*(k*k*(k/(k*k**0*k*k))/k*k**0*k)**(-1/11) assuming k is positive.
k**(543/98)
Simplify t**11/t**(-27)*(t**(-2/13))**(-35) assuming t is positive.
t**(564/13)
Simplify (l**(-6)*l*l**(-2/7)*l)**(14/15)/((l*((l/(l/(l*l**0)))/l)/l)**30)**(-9/5) assuming l is positive.
l**(-4)
Simplify (((w/w**1)/w)/w*w**(-2/3))**(-3/8)*((w/(w**(-4)/w))/w*w**(-1/4)/w)**42 assuming w is positive.
w**(317/2)
Simplify ((s**(-4)*s*s**(-2/17)/s*s)/(s**(-3)*s/(s/(s*s**(-3)*s*s))))/(s**(1/3)*s/s**(-1/2)*(s/s**(-1/4))**(-22)) assuming s is positive.
s**(1303/51)
Simplify ((b**(12/11)/(b/(b**(1/4)/b)))/(b**(1/5))**16)**35 assuming b is positive.
b**(-5943/44)
Simplify ((p*(p*p**(-28))/p)**(-45)/(p**(-2/39))**(2/41))**(-2/65) assuming p is positive.
p**(-3885578/103935)
Simplify (u*u**(-1)*u*((u*u**(-4)*u)/u)/u)**(-46)/((u/(u**(-1)*u))**(-44)*(u**(-8/3)/u)/(u/(u/((u**(-5)*u)/u)))) assuming u is positive.
u**(542/3)
Simplify ((y*y*(y*y**4)/y*y)**41)**(-5/3)*y**2/y**(-1)*y*y*y/(y**(2/7)*y)*y*y**(2/7) assuming y is positive.
y**(-1417/3)
Simplify (o**(-6)*o)/(o*o*o**(-4)*o*o)*(o**(-1/10)/o)/o**(-5)*(o**0/((o/(o/(o/(o/(o/o**(-5))))))/o))**(-29) assuming o is positive.
o**(1439/10)
Simplify (((d/(d**(1/42)*d))/(d**(-3/5)/d))/(d**(4/9)*d*d/(d*d**(-7/4))))**(-1/23) assuming d is positive.
d**(2039/28980)
Simplify (((z*z/z**(-1/3))/z)/(z/z**0))**46/((z**0)**41*((z**1*z)/z)**11) assuming z is positive.
z**(13/3)
Simplify (o**(3/11)*o*o**47)/((o*o**13)/o)**(-18) assuming o is positive.
o**(3105/11)
Simplify (u*u**(-6/11)/u*u*u*u*u**(-1)*u*u**4*u**(4/5))/((u**(-4)/u*u*u*(((u**2/u)/u)/u)/u)/(u*u*u/(u/(u**(1/3)*u)))**(2/43)) assuming u is positive.
u**(88046/7095)
Simplify (((i*i*i**(1/3))**(-1/29)/(i**2)**(-26))**(2/55))**(-31) assuming i is positive.
i**(-280054/4785)
Simplify (d**(-1/2))**50/(((d/(d*(d**0*d)/d*d))/d)/d*d*(d/(d/(((d**(-3/4)/d)/d)/d)))/d)*((d/d**2*d)**(-29))**19 assuming d is positive.
d**(-73/4)
Simplify (((n**(-6)/n**(-2/13))/(n**(1/12)*n*n**(-2)))**39)**(-43) assuming n is positive.
n**(33067/4)
Simplify (((z/((z/((z/z**(-2))/z*z))/z))/(z*(z/z**(-2/29))/z))/(z**(-2/3)/(z/(z*z/z**(6/11)*z*z*z*z*z))))**(-22) assuming z is positive.
z**(3554/87)
Simplify (m**(-1/7)/((m/(m*m**(2/3)*m*m))/m*m))**(2/7)*(((m*m/(m/(m*m**(-5))))/m)/m*m**(-1/3))**(-35) assuming m is positive.
m**(9182/49)
Simplify (m**(-1))**9/(((m*m**(-2/11))/m*m)/m**(4/7))*(
|
{
"pile_set_name": "DM Mathematics"
}
|
nd smallest value? (a) -4 (b) -1 (c) u
b
Let q = 0.05 - -0.25. What is the second smallest value in 5, -2/11, q?
q
Let o = -28 + 83/3. Which is the second smallest value? (a) -0.5 (b) 1/4 (c) o
c
Suppose 0 = 2*s + 2*j + 12, -5*s + 2*j - 11 = 5. What is the second smallest value in s, -2/5, -2?
-2
Let g = -1.6 + 1.53. Let x = g - -2.07. What is the second smallest value in x, -1/3, -2?
-1/3
Let z(h) = h**3 - 2*h**2 - h - 2. Let q be z(3). Let v = 2.23 - 0.23. What is the third biggest value in q, v, 1?
1
Suppose -5*j - 1 - 9 = 0. What is the second biggest value in j, 4, 2/7?
2/7
Suppose -5*m - 20 = -0. Let z be (3 + 0)/(m/(-1)). Let f = -0.74 - -0.34. Which is the third smallest value? (a) z (b) -3 (c) f
a
Let k = 0.4 + 0. Let t = 0 - k. Let n be (-26)/(-30) - ((-14)/6 + 3). Which is the third smallest value? (a) n (b) 1/7 (c) t
a
Let s be (2 + -3)*15/9. Let w be (-21)/(-7) + (0 - 2). Which is the third biggest value? (a) 6 (b) s (c) w
b
Suppose -4*u + 136 - 24 = 0. Which is the second biggest value? (a) 1/2 (b) 0.1 (c) u
a
Let o = -28 + 31. Which is the second smallest value? (a) -4 (b) o (c) -1/2 (d) 2
c
Let s = 864/7 - 123. What is the second smallest value in s, 1/7, -1?
1/7
Let z be 2/((-285)/(-2 - 1)). Let x = -87/380 - z. Which is the third smallest value? (a) 2 (b) x (c) -5
a
Suppose -4*u - 3*y = 14, u - 4*y - 3 = 3. Let i = -27 - -17. Let t = 5 + i. What is the third biggest value in -3, t, u?
t
Let d = 1 - -1. Let m = -1 - -0.8. Let v = 9 - 4. What is the smallest value in m, d, v?
m
Let y = -6 + 5.6. Let v be 1/(-2) + 9/(-2). What is the third biggest value in y, 2/11, v?
v
Let q(m) = 4*m - 22. Let j(o) = -3*o + 15. Let z(k) = 7*j(k) + 5*q(k). Let n be z(-6). Which is the third smallest value? (a) 1/7 (b) 3 (c) n
b
Let d = -11.6 + 10. Let h = d + -5.4. Let b = 4 + h. What is the second smallest value in 0.3, b, -4?
b
Let r = 1.3 + -6.3. Let x = 5.2 + r. What is the second smallest value in -5, -0.1, x?
-0.1
Let r = -0.63 - -1.03. Let q = -0.25 + -0.05. Let u = 0.2 + q. Which is the third biggest value? (a) u (b) 5 (c) r
a
Let f be 4/(-64)*62 - -4. Which is the smallest value? (a) 0.5 (b) f (c) -1/5
c
Let i = 36 - 39.8. Let p = i + 4. Let u = -1 - -1. Which is the second smallest value? (a) p (b) -2/17 (c) u
c
Let y = 84 + -88. Which is the smallest value? (a) y (b) 22 (c) 2
a
Let h = 4 + -3. Let l(x) = -x**2 - 13. Let d be l(-13). Let t be 1/(-7) - (-2)/d. What is the second smallest value in -2/3, h, t?
t
Let q be (-2)/(-3) - (-1)/(-2). Suppose 3*v = -5*n + 5, 0 = -3*n - 5*v - 0*v + 3. Let x = -168 + 163. What is the third biggest value in x, q, n?
x
Let w = -17 - -15.7. Let g = w + 0.9. Which is the second smallest value? (a) g (b) -5 (c) 3
a
Let d = -1001365/57 - -35137/2. Let n = 1/38 - d. Which is the third biggest value? (a) n (b) -5 (c) 0
b
Let n be (-1)/2*(-45 - -1). Let y be n/6 - (-2)/(-3). Let z = 30 + -29. What is the smallest value in 0.4, z, y?
0.4
Let h = -7 - -9. Let v be (2 + -4)*(-3)/8. Which is the third biggest value? (a) -1 (b) h (c) v
a
Let k(g) = -g**3 + 8*g**2 - 10*g + 23. Let p be k(7). Let r = 195/4 + -49. What is the second biggest value in p, r, -2/9?
-2/9
Suppose 0 = -4*h + 9 - 1. Let q = 1.5 + -2. Which is the second smallest value? (a) q (b) 0.2 (c) h
b
Let m = -18.6 - -19. Let i = m - 1.4. Let d = 2 + 0. Which is the third smallest value? (a) d (b) i (c) -5
a
Let w = 104 + -724/7. Which is the smallest value? (a) 3 (b) 4 (c) w
c
Let g = -3.03 - -3. Let n = g - -2.03. Let s = 0 + n. Which is the third smallest value? (a) 1 (b) s (c) -5
b
Let d = -1.7 - -2.7. Let n = -29199/53 - -551. Let g = -187/371 + n. Which is the third biggest value? (a) d (b) g (c) 2
b
Let r = 583/5 - 116. What is the third smallest value in 8, -5, -1, r?
r
Let n be (-119)/147 - -1*2/3. What is the second biggest value in 5, -2/9, n, 1?
1
Let u be -4*((-18)/(-4) + -4). What is the third biggest value in -0.4, u, -7?
-7
Let f(x) = 11*x + 50. Let s be f(-5). Which is the third biggest value? (a) 0.4 (b) 3 (c) 1/4 (d) s
c
Let g = -13/6 + 3/2. Suppose -m = -4*m + w - 4, -2*m - 5*w = 31. What is the third biggest value in m, g, 1/3?
m
Let s = 0.8 + -0.4. Let j = 506/5 - 4183/40. Let r = -111/40 - j. What is the second smallest value in -1, s, r?
s
Let j = 0.1 - -0.3. Let o = -0.54 + 0.04. Which is the smallest value? (a) j (b) 1/5 (c) o
c
Let a = -9.5 + 10. What is the third smallest value in a, -2/9, 5/3?
5/3
Let v = -0.04 + 0.04. Let l = v - 0.1. Let i = 3 - -1. What is the second smallest value in 0, l, i?
0
Let c = 1.4 - -0.6. Let h = c - 2.4. What is the third smallest value in 4, h, 0?
4
Let v = -19 - -39/2. Let o = 0.3 + -0.4. Let l = -0.1 - 0.1. What is the smallest value in v, o, l?
l
Let l = 0.05 + -3.05. Let y = l - 0. Which is the biggest value? (a) -0.4 (b) y (c) 5
c
Suppose 0 = m - 1 - 1. Let l = -3 - m. What is the biggest value in l, -4, 2?
2
Suppose 6 + 4 = 2*v. Let l be 0 + (-2 - (-64)/30). Which is the second biggest value? (a) 0.3 (b) v (c) l
a
Let s = 5.1 - 4.1. Let x(k) = k**3 - 4*k**2 - k + 1. Let j be x(4). What is the second smallest value in s, 1/2, j?
1/2
Let o = -13 + 8. Let q = 65 + -64.9. Which is the biggest value? (a) o (b) 5 (c) q
b
Let s = -0.37 - -0.07. Let l = s - -1.3. Let p = -1.4 + l. What is the second biggest value in -2, -0.2, p?
p
Let b = 0.64 - -0.06. Let w = b + 0.3. Let p = -2.9 + 3. What is the third biggest value in -1, p, w?
-1
Let n = 9.3 + -10.4. Which is the second biggest value? (a) -5 (b) 5 (c) n
c
Suppose -4*j - 4*u + 14 = -2*j, 3*j + 2*u = 13. Which is the second smallest value? (a) j (b) -5 (c) -4
c
Let v = 2 + -1.9. Let a be (2/11)/((-1)/1). What is the biggest value in 2/5, a, v?
2/5
Let t = 2.113 + -0.113. What is the biggest value in -2, -0.2, t, 3?
3
Let u(k) = k - 2. Let y be u(4). Let x(w) = -5*w + 7. Let p be x(y). Which is the third smallest value? (a) 0.1 (b) p (c) 3/5
c
Let s = 8 + -5. Let o = 3.5 - s. Which is the smallest value? (a) 2/5 (b) o (c) 0.1
c
Let g = 2.6 - 0.6. Let y(h) = -h**2 - 6*h + 7. Let v be y(-7). Let n be (2 + v)/(4/10). What is the second smallest value in g, -2, n?
g
Let r = -0.03 + 0.33. Let m = 3.5 + -3. Which is the second smallest value? (a) m (b) r (c) 4
a
Let q = -0.6 + 0.2. Let y = -85/7 + 701/56. Which is the third smallest value? (a) -1 (b) q (c) y
c
Let q be 12*(-3)/21 - -2. Let f = 256 + -1798/7. Let j = 17/28 + f. Which is the second smallest value? (a) 2 (b) q (c) j
b
Let r = 45 - 46. Let z = -281/5 - -56. Which is the second biggest value? (a) z (b) -3 (c) r
c
Let l = 9.91 - 10. Let d = l - 0.11. Which is the biggest value? (a) d (b) -4/5 (c) 2/7
c
Let o(d) = -d**3 + 7*d**2 - 5*d - 8. Let l = -6 + 12. Let y be o(l). What is the third smallest value in y, -0.4, -0.2?
-0.2
Let z(r) = -19*r**2 - r + 2. Let b be z(4). Let v be b/75*10/32. Let g = v + 7/8. What is the smallest value in 0.1, 1, g?
g
Let w be 6 - (0 + 7 + -3). Let k be w/(1 + 2 + -8). What is the third biggest value in k, -1/4, 2?
k
Let r = -18 - -11. Let t = r - -12. Which is the third biggest value? (a) -4 (b) t (c) -0.1
a
Let c(s) = -47*s**2 + s + 2. Let p be c(2). Let x = 1286/7 + p. Let t = -610 + 613. What is the third smallest value in 3/2, x, t?
t
Let l be 2/4*(28 + 3). Let n = l + -15. Which is the smallest value? (a) n (b) -1 (c) -4
c
Let t(g) = -g. Let y be t(2). Let i = 0.11 + -0.24. Let d = 0.87 - i. Which is the third biggest value? (a) y (b) 1/3 (c) d
a
Let s = 8.13 - -1.87. Which is the third biggest value? (a) -5 (b) s (c) 0.3 (d) -2
d
Let m = 16 - 19. Which is the third smallest value? (a) -1 (b) m (c) -5
a
Let x be (-2)/(2 - (-75)/(-36)). Let h be (-2 - x/(-15))*2. Which is the smallest value? (a) -3/8 (b) h (c) 4
b
Let y = -4 + 3.96. Let m = -0.06 + y. Which is the biggest value? (a) -3 (b) m (c) -4
b
Let g(t) = t**2 + 1. Let l be g(-1). Let z be l/(-5) - 36/10. Which is the third smallest value? (a) z (b) 2 (c) 4
c
Let s = 21 + -17. Let a(r) = -r**3 - 5*r**2 - 3*r. Let y be a(-4). What is the third biggest value in y, -6, s?
-6
Suppose 0 = 5*t + 25, -5*n + 45 = -3*t + 6*t. Suppose -3*o = 5*h + n, 6 = 3*o + 4*h + 15. W
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0*o**3 + 0*o**4. Differentiate d(g) with respect to g.
-36*g**3
Suppose 0*j = 4*j - 20. Find the first derivative of 4 - j - 1 + 10*x**2 wrt x.
20*x
Let q(r) be the first derivative of 263*r**5/5 - 57*r - 28. Find the first derivative of q(h) wrt h.
1052*h**3
Suppose 36*g + 200 = 86*g. Let f(d) be the second derivative of -4*d**2 + 0*d**3 - 3/5*d**5 + 0 + 0*d**g - 7*d. Differentiate f(a) wrt a.
-36*a**2
Let t = -38 - -43. Find the third derivative of -3*v**2 + 21*v**2 + 7*v**t + 9*v**5 - 5*v**5 wrt v.
660*v**2
Let p(x) be the second derivative of x**5/20 - 5*x**4/6 - 2*x**3/3 - 5*x**2/2 - 133*x. What is the second derivative of p(l) wrt l?
6*l - 20
Let f(b) = -7*b + 2. Let g(v) = -8*v + 2. Let m(x) = 6*f(x) - 5*g(x). Let c be m(-2). Find the third derivative of -3*y + 3*y + 6*y**c - 3*y**2 wrt y.
720*y**3
Suppose 37*n - 3 = 36*n. What is the second derivative of 5*f + 9*f**5 + f + 0*f**5 + n*f**5 wrt f?
240*f**3
Let l be 4/(-3)*-1*90/40. Let r(k) be the second derivative of 7/20*k**5 - l*k + 0*k**2 + 0*k**3 + 0 - 1/4*k**4. What is the third derivative of r(x) wrt x?
42
Let h(u) = -7*u - 3. Suppose -3*o = -4*l + 20, 14 = -3*l + 2*l - 4*o. Let s(t) = 2 + l - 5. Let m(b) = h(b) - s(b). Find the first derivative of m(z) wrt z.
-7
Find the second derivative of 37*n**4 - 223 + 44*n**4 + 2*n + 32*n**3 - 17*n**3 + 18*n**4 - 16*n**3 wrt n.
1188*n**2 - 6*n
Suppose -2*i - 3*i - 26 = d, 0 = 3*i + 15. Let l be d*3 - 12/(-4). Differentiate 6*t**3 - 3*t**3 + l + 0 - 2 wrt t.
9*t**2
Let g(y) = -y**2 - 10*y - 11. Let c be g(-8). What is the second derivative of -1783 + 20*a**c - 7*a + 1783 wrt a?
400*a**3
Let p(s) be the second derivative of 0*s**3 + 0 + 7/10*s**5 - 20*s + 0*s**4 + 6*s**2. What is the first derivative of p(n) wrt n?
42*n**2
What is the third derivative of -49*i**2 - 40*i**2 - 29*i**2 - 64*i**5 - 208*i**5 + 41*i**5 wrt i?
-13860*i**2
Suppose -4*j = -2*j. Suppose 5*c = 4*x + 26, -4*c + 3*x + x + 24 = 0. What is the third derivative of -14*o**6 + 0*o**c + 10*o**2 + j*o**2 wrt o?
-1680*o**3
Let a(d) be the first derivative of 11*d**8/56 + 23*d**4/12 - 22*d + 14. Let y(t) be the first derivative of a(t). Find the third derivative of y(m) wrt m.
1320*m**3
Let z(w) be the second derivative of -13*w**4/12 + 2*w**3 + 195*w**2 + 407*w. Find the first derivative of z(n) wrt n.
-26*n + 12
Suppose -18 = -g - 3. What is the derivative of 24*k**4 + 15*k - 5 - g*k wrt k?
96*k**3
Let g(r) be the second derivative of -359*r**4/12 - 287*r**3/3 - 2*r - 73. Find the second derivative of g(q) wrt q.
-718
Let n(a) be the first derivative of 0*a**4 + 0*a**2 + 0*a**3 - 18/5*a**5 + 48 + 37*a. Find the first derivative of n(u) wrt u.
-72*u**3
Suppose 7*p = 97 - 34. Find the third derivative of -6*i**2 + 186 - p*i**3 - 186 wrt i.
-54
Let v(a) be the second derivative of 3/7*a**7 + 0*a**5 + 0*a**6 + 0*a**3 + 0*a**2 + 0 - 23*a - 11/6*a**4. Find the third derivative of v(c) wrt c.
1080*c**2
Differentiate 260*d**2 - 409629*d + 409629*d + 326 wrt d.
520*d
Find the third derivative of -155*i**6 - 380*i**2 - 382*i**2 + 735*i**2 wrt i.
-18600*i**3
Let a = 24 + -17. Let o = 8 + -4. What is the derivative of a*y**3 - 4*y**3 - o + 3 wrt y?
9*y**2
Let v be (-146)/(-9) - 4/18. Let z = -11 + v. Find the second derivative of -11*i + 3*i - 5*i**z + 4*i**5 - 4*i**5 wrt i.
-100*i**3
Let l(o) be the second derivative of 7*o**4 - 311*o**2/2 - 17*o - 16. Find the first derivative of l(k) wrt k.
168*k
Let x be (-4 + 3)*-14*(-2)/(-7). What is the second derivative of 6*h**4 + 79*h + 13*h**x - 82*h wrt h?
228*h**2
Let a(r) = 89*r**3 - 121*r**2 + 4*r + 2. Let g(d) = -266*d**3 + 363*d**2 - 14*d - 7. Let f(w) = 7*a(w) + 2*g(w). What is the third derivative of f(h) wrt h?
546
Let d(r) be the first derivative of 4/3*r**3 + 0*r**5 + 0*r + 0*r**4 + 3/7*r**7 + 11 + 0*r**2 + 0*r**6. What is the third derivative of d(v) wrt v?
360*v**3
Let w(b) = -b**2 - 3*b. Let u be w(-3). Suppose u*t - 3*t = -39. Find the third derivative of -11*f**3 - 8*f**2 + t*f**2 + 6*f**2 wrt f.
-66
Let j(p) = 2*p**3 - p**2 + p - 1. Let m(l) = 57*l**3 + 5*l**2 - 5*l + 125. Let s(w) = -10*j(w) - 2*m(w). Find the first derivative of s(t) wrt t.
-402*t**2
Let o(d) = d**3 - d**2 - 1. Let g(r) = -10*r**3 + 21*r**2 - 76*r + 10. Let q(f) = g(f) + 6*o(f). Find the second derivative of q(x) wrt x.
-24*x + 30
Find the third derivative of 3 - 50*j**5 - 8 - 188*j**2 - 155*j**5 + 5 wrt j.
-12300*j**2
Suppose h - 2*u + 4 = 0, -4*u + 15 = u. Let v(t) be the second derivative of -1/3*t**3 + 3*t + 1/12*t**4 + 0*t**h + 0. Find the second derivative of v(l) wrt l.
2
Let g(i) = -22*i**2 + 11*i + 49. Let b(r) = -21*r**2 + 9*r + 49. Let s(f) = 6*b(f) - 5*g(f). Differentiate s(k) with respect to k.
-32*k - 1
Let t(k) be the second derivative of k**4/12 + k**3/6 - k**2 + 3*k. Let v be t(3). What is the second derivative of 4*i**5 + 4*i + i - v*i**5 wrt i?
-120*i**3
Suppose -5*p = -p - 8. Find the third derivative of 70*a**p - 6*a**6 - 67*a**2 - 5*a**6 wrt a.
-1320*a**3
Let i(t) be the second derivative of -t**7/21 + 11*t**5/5 - t**4/6 - 65*t**3/6 - 375*t. Find the third derivative of i(q) wrt q.
-120*q**2 + 264
Suppose 20 = 2*t - 5*g, -2*g = -5*t - 4*g + 21. What is the third derivative of 35*x**2 + 130 - 5*x**2 + 14*x**t - 130 wrt x?
840*x**2
Let w(h) be the first derivative of 4*h - 1. Let n be 1 + -2 + 6*2/(-4). Let r(f) = f - 5. Let q(c) = n*r(c) - 6*w(c). Differentiate q(j) with respect to j.
-4
Let o(r) be the first derivative of 2*r**5/5 + 13*r**4/4 - 3*r**3 - 9*r + 49. What is the third derivative of o(c) wrt c?
48*c + 78
Let a(x) = x**4 - x - 1. Let q(g) = -11*g**4 - 5*g + 30. Let k be (1 - 0)*-1 + 0/59. Let n(i) = k*q(i) + 5*a(i). Differentiate n(y) with respect to y.
64*y**3
Find the third derivative of 215 + v**2 - 140 - 128 + 5*v**3 + 82*v**3 wrt v.
522
Let k(s) = 4*s - 1. Let o be k(1). Suppose 0 = -6*v - 18*v + 168. Find the second derivative of -2*x**3 - x**3 + v*x - 2*x**o wrt x.
-30*x
What is the second derivative of -4*c**2 + 173*c - 15*c + 3*c**4 - 2*c**4 + 72*c wrt c?
12*c**2 - 8
Suppose 0 = 3*i - 3*w - 0*w - 27, -i + 5*w - 7 = 0. Suppose -11 = b - i. Find the third derivative of v**2 + 3*v**6 + b*v**6 - 5*v**2 wrt v.
600*v**3
Let t(n) = 4*n**3 + 3*n**2 + 5. Let q(a) = -20*a**3 + 0*a**3 - 15 - 16 + 7 - 16*a**2. Let f(k) = -5*q(k) - 24*t(k). Find the third derivative of f(j) wrt j.
24
Let y(l) be the first derivative of l**4/2 - 35*l**2/2 + 382*l - 131. What is the derivative of y(z) wrt z?
6*z**2 - 35
Let t(m) = -56*m**4 - 2*m**2 + 64*m + 2. Let b(u) = -u**2 - u + 1. Let w(n) = -2*b(n) + t(n). Find the second derivative of w(q) wrt q.
-672*q**2
Let z(h) = 223*h**4 - 5*h**3 + 195*h**2. Let x(c) = 334*c**4 - 7*c**3 + 293*c**2. Let o(f) = -5*x(f) + 7*z(f). What is the third derivative of o(j) wrt j?
-2616*j
Let r(t) be the second derivative of 0*t**6 - 6*t + 0*t**5 + 0*t**4 + 1/2*t**3 + 0*t**2 + 0 - 1/7*t**7. Find the second derivative of r(d) wrt d.
-120*d**3
Let m(s) be the third derivative of 19*s**8/168 - 13*s**5/60 - s**3/3 + 72*s**2. What is the third derivative of m(c) wrt c?
2280*c**2
Let v(m) be the second derivative of 33*m**5/20 + 7*m**4/3 - m**2/2 + 18*m. Find the third derivative of v(s) wrt s.
198
Suppose 7*o = 93 + 40. Let k be (-4)/(-16) - (-27)/4. What is the second derivative of 5*n + 19 - k*n**5 - o wrt n?
-140*n**3
Let q(v) = 13*v**2 - 17*v. Let p = -68 - -62. Let a(c) = 38*c**2 - 51*c. Let i(y) = p*a(y) + 17*q(y). What is the second derivative of i(t) wrt t?
-14
Let p = -886 + 2665/3. Let c(f) be the first derivative of 6 + 0*f**2 + p*f**3 - 2*f. Find the first derivative of c(x) wrt x.
14*x
Suppose -2*a = -6*l + 9*l - 92, -2*l + 4*a = -72. Find the first derivative of 0*g + l*g - 1 + 12 wrt g.
32
Let c(l) = -57*l - 23. Let w(s) = -228*s - 93. Let b(z) = 21*c(z) - 5*w(z). What is the first derivative of b(m) wrt m?
-57
Let o = 52 - 50. Find the third derivative of -22*n - 4*n**o - 30*n**3 + 13*n**2 + 22*n wrt n.
-180
Let b(d) be the first derivative of d**7/7 - 3*d**5/5 - 38*d**3/3 + d**2/2 - 48. Find the third derivative of b(h) wrt h.
120*h**3 - 72*h
Let l = -12 - -5. Let p = l - -7. Find the third derivative of 6*y**6 + 3*y**2 + p*y**2 - 8*y**6 + 3*y**2 wrt y.
-240*y**3
Find the third derivative of 11*n*
|
{
"pile_set_name": "DM Mathematics"
}
|
h term of 36009416, 36009404, 36009370, 36009302, 36009188, 36009016?
-2*p**3 + p**2 - p + 36009418
What is the k'th term of -1368, -1164, -1012, -912, -864, -868?
-26*k**2 + 282*k - 1624
What is the t'th term of -2945280, -2945604, -2945928?
-324*t - 2944956
What is the a'th term of 118987, 118681, 118375?
-306*a + 119293
What is the d'th term of -9443, -37540, -84373, -149948, -234271, -337348, -459185, -599788?
-d**3 - 9362*d**2 - 4*d - 76
What is the m'th term of -8123, -16115, -23963, -31667, -39227?
72*m**2 - 8208*m + 13
What is the f'th term of -33033370, -66066746, -99100122?
-33033376*f + 6
What is the o'th term of 30248, 56326, 82406, 108488?
o**2 + 26075*o + 4172
What is the l'th term of -533, -1975, -4359, -7727, -12121, -17583, -24155?
-7*l**3 - 429*l**2 - 106*l + 9
What is the b'th term of -1003904, -1004612, -1005316, -1006016, -1006712, -1007404?
2*b**2 - 714*b - 1003192
What is the h'th term of -25134782, -25134780, -25134778, -25134776?
2*h - 25134784
What is the o'th term of 399276684, 798553370, 1197830056, 1597106742, 1996383428, 2395660114?
399276686*o - 2
What is the y'th term of 25769, 103464, 232955, 414242, 647325, 932204?
25898*y**2 + y - 130
What is the s'th term of -94735, -94940, -95507, -96616, -98447, -101180, -104995?
-30*s**3 - s**2 + 8*s - 94712
What is the s'th term of -6466, -26005, -58574, -104173, -162802, -234461, -319150?
-6515*s**2 + 6*s + 43
What is the p'th term of 11912, 13914, 15916, 17918?
2002*p + 9910
What is the w'th term of 5162, 5713, 6264, 6815?
551*w + 4611
What is the n'th term of -13949, -12734, -11519, -10304?
1215*n - 15164
What is the l'th term of -8494, -9409, -11896, -16741, -24730, -36649?
-131*l**3 + 2*l - 8365
What is the c'th term of -33669, -33650, -33657, -33702, -33797, -33954, -34185, -34502?
-2*c**3 - c**2 + 36*c - 33702
What is the c'th term of 438695, 877441, 1316191, 1754945, 2193703?
2*c**2 + 438740*c - 47
What is the n'th term of 197148, 394329, 591510, 788691?
197181*n - 33
What is the u'th term of 5535230, 11070605, 16605980, 22141355, 27676730?
5535375*u - 145
What is the a'th term of -4737, -9844, -15329, -21192?
-189*a**2 - 4540*a - 8
What is the g'th term of -9762, -82363, -279418, -663153, -1295794?
-10371*g**3 - g**2 - g + 611
What is the c'th term of -8411, -8977, -9547, -10121, -10699?
-2*c**2 - 560*c - 7849
What is the n'th term of -275320, -275351, -275382, -275413, -275444, -275475?
-31*n - 275289
What is the w'th term of -1061722, -2122607, -3183492, -4244377, -5305262?
-1060885*w - 837
What is the c'th term of 203720, 407702, 611684, 815666?
203982*c - 262
What is the a'th term of -89982, -719617, -2428626, -5756697, -11243518, -19428777, -30852162, -46053361?
-89948*a**3 + a**2 - 2*a - 33
What is the f'th term of -1095, -9853, -33617, -79887, -156163, -269945?
-1250*f**3 - 3*f**2 + f + 157
What is the k'th term of -3710, -5703, -7698, -9695?
-k**2 - 1990*k - 1719
What is the s'th term of 280466, 278311, 276156, 274001, 271846, 269691?
-2155*s + 282621
What is the f'th term of -81374271, -162748541, -244122809, -325497075?
f**2 - 81374273*f + 1
What is the o'th term of 1994, 8365, 19064, 34157, 53710?
11*o**3 + 2098*o**2 - 115
What is the s'th term of 334, -236, -1180, -2498, -4190?
-187*s**2 - 9*s + 530
What is the f'th term of -224856434, -224856433, -224856432, -224856431, -224856430, -224856429?
f - 224856435
What is the j'th term of 200, 330, 438, 524, 588?
-11*j**2 + 163*j + 48
What is the r'th term of 258930, 260248, 261566?
1318*r + 257612
What is the n'th term of -862997, -1726131, -2589265?
-863134*n + 137
What is the u'th term of -590004, -1179917, -1769830, -2359743?
-589913*u - 91
What is the l'th term of 271181, 1084675, 2440481, 4338599, 6779029?
271156*l**2 + 26*l - 1
What is the z'th term of -212703, -425654, -638607, -851562?
-z**2 - 212948*z + 246
What is the w'th term of 461986503, 461986502, 461986501, 461986500, 461986499?
-w + 461986504
What is the y'th term of -1751, -2240, -3597, -6266, -10691, -17316, -26585, -38942?
-74*y**3 + 10*y**2 - y - 1686
What is the o'th term of 13655201, 13655178, 13655151, 13655120?
-2*o**2 - 17*o + 13655220
What is the d'th term of 12779, 25497, 38151, 50741, 63267?
-32*d**2 + 12814*d - 3
What is the m'th term of -6804, -6739, -6674, -6609, -6544, -6479?
65*m - 6869
What is the c'th term of -3303, -16636, -38855, -69960, -109951, -158828?
-4443*c**2 - 4*c + 1144
What is the m'th term of -645275692, -645275691, -645275690, -645275689?
m - 645275693
What is the m'th term of 166328, 332644, 498896, 665084, 831208, 997268?
-32*m**2 + 166412*m - 52
What is the n'th term of 1341169, 1341189, 1341209, 1341229, 1341249?
20*n + 1341149
What is the j'th term of -41307, -39876, -38445, -37014, -35583, -34152?
1431*j - 42738
What is the w'th term of -3981, -16239, -36771, -65577, -102657, -148011, -201639?
-4137*w**2 + 153*w + 3
What is the g'th term of -125828820, -125828817, -125828814?
3*g - 125828823
What is the f'th term of -825501, -1650791, -2476081, -3301371?
-825290*f - 211
What is the i'th term of -134, -1400, -3818, -7388, -12110, -17984, -25010?
-576*i**2 + 462*i - 20
What is the a'th term of -44733934, -89467867, -134201800, -178935733, -223669666, -268403599?
-44733933*a - 1
What is the j'th term of 41961, 41732, 41503, 41274, 41045?
-229*j + 42190
What is the s'th term of 2129, 7919, 17369, 30479, 47249, 67679?
1830*s**2 + 300*s - 1
What is the u'th term of -248709, -501160, -753611, -1006062?
-252451*u + 3742
What is the s'th term of -18690048, -37380097, -56070146, -74760195, -93450244?
-18690049*s + 1
What is the o'th term of 203, 1341, 3375, 6305, 10131?
448*o**2 - 206*o - 39
What is the b'th term of 1293, 1843, 2299, 2667, 2953, 3163, 3303, 3379?
b**3 - 53*b**2 + 702*b + 643
What is the v'th term of -5895308, -5895315, -5895322?
-7*v - 5895301
What is the g'th term of -6077537, -6077540, -6077543, -6077546, -6077549, -6077552?
-3*g - 6077534
What is the v'th term of 29611, 29812, 30161, 30658, 31303, 32096, 33037?
74*v**2 - 21*v + 29558
What is the u'th term of 413751, 413798, 413865, 413958, 414083, 414246, 414453?
u**3 + 4*u**2 + 28*u + 413718
What is the n'th term of 2497, 22656, 78135, 186592, 365685, 633072, 1006411, 1503360?
2943*n**3 + 2*n**2 - 448*n
What is the z'th term of -47368, -95538, -145292, -197422, -252720, -311978?
-132*z**3 - 47246*z + 10
What is the x'th term of -5244, -4784, -4332, -3888, -3452, -3024, -2604?
-4*x**2 + 472*x - 5712
What is the x'th term of -20417, -19716, -18541, -16892, -14769?
237*x**2 - 10*x - 20644
What is the v'th term of -1940, -5646, -9352, -13058, -16764?
-3706*v + 1766
What is the r'th term of 2685, 4765, 6821, 8847, 10837, 12785?
-r**3 - 6*r**2 + 2105*r + 587
What is the s'th term of -88111, -176418, -264923, -353626, -442527, -531626?
-99*s**2 - 88010*s - 2
What is the r'th term of -539918, -540351, -540784, -541217, -541650, -542083?
-433*r - 539485
What is the k'th term of -6420837, -6420835, -6420845, -6420873, -6420925, -6421007?
-k**3 + 9*k - 6420845
What is the t'th term of -225736877, -225736880, -225736883, -225736886, -225736889, -225736892?
-3*t - 225736874
What is the d'th term of 10891, 14039, 17187, 20335, 23483, 26631?
3148*d + 7743
What is the f'th term of 121180, 121230, 121328, 121474, 121668, 121910?
24*f**2 - 22*f + 121178
What is the r'th term of 1623, 1472, 1219, 864, 407?
-51*r**2 + 2*r + 1672
What is the p'th term of -131424969, -262849944, -394274921, -525699900, -657124881?
-p**2 - 131424972*p + 4
What is the a'th term of -361945, -361869, -361791, -361711?
a**2 + 73*a - 362019
What is the a'th term of -798253244, -798253236, -798253214, -798253172, -798253104?
a**3 + a**2 - 2*a - 798253244
What is the r'th term of -156, 329, 1636, 4185, 8396, 14689, 23484, 35201?
70*r**3 - 9*r**2 + 22*r - 239
What is the p'th term of 21557, 22632, 23709, 24788, 25869, 26952, 28037?
p**2 + 1072*p + 20484
What is the j'th term of 652119, 1304226, 1956333, 2608440, 3260547, 3912654?
652107*j + 12
What is the j'th term of -414931, -414923, -414911, -414895, -414875?
2*j**2 + 2*j - 414935
What is the t'th term of -40530, -81049, -121820, -162969, -204622, -246905, -289944, -333865?
-21*t**3 - 40372*t - 137
What is the q'th term of 6268,
|
{
"pile_set_name": "DM Mathematics"
}
|
2*q + 3*q - 3*q to the form j + y*q and give y.
-25
Express -169*y**3 + 7*y**2 - 9 + 171*y**3 - 5*y - 6*y**2 - y**2 as k*y + h + r*y**3 + d*y**2 and give r.
2
Express 15*c**2 + 8*c**2 + c**2 + (1 + 1 - 1)*(-c**2 + 0*c + 0*c) + 8*c - 8*c + 8*c**2 as t + p*c + g*c**2 and give g.
31
Rearrange (0*m**2 + 2*m**2 + 0*m**2)*(37 + 200 + 175) to i*m + r*m**2 + z and give i.
0
Express (25*v**2 - 30*v**2 - 15*v**2)*(-9 - 10 + 22)*(0*v**2 + v**2 - 3*v**2) - 6*v**3 + 6*v**3 - 3*v**4 as n*v**4 + a + m*v + t*v**2 + y*v**3 and give n.
117
Rearrange (2*x**4 + 0*x + 3*x + 0*x**4 + 2*x**2)*(-18 + 127 + 3) to the form p*x**3 + k*x + a + j*x**4 + z*x**2 and give j.
224
Express 111 - 50 + 1250*r - 60 as v*r + w and give v.
1250
Express (4*p - 2*p - p)*(-1 + 51 - 3)*(-3 + 3 - 2) as b + m*p and give b.
0
Rearrange -13 + b**2 + 17*b**3 + 28 - 8 + 2*b - 9 to the form f + m*b + s*b**2 + t*b**3 and give f.
-2
Express 1 - 102*o**3 - 53*o**2 - 2 - 66*o**3 + 53*o**2 in the form b + n*o + p*o**3 + l*o**2 and give b.
-1
Rearrange (15*w - 11*w - 11*w)*(9*w - 11*w - 28*w)*(3*w - w + 0*w) to the form d*w**3 + q*w + o + m*w**2 and give d.
420
Rearrange -25*j - j**2 - 22*j - 28*j - 1 - j**3 - 32*j to x*j**2 + z + t*j**3 + g*j and give z.
-1
Express -39*t - 136*t - 30*t as b*t + v and give b.
-205
Rearrange (1 - 1 - 1 + (0 - 5 - 1)*(-1 + 0 + 2))*(-1 + 0*m - 2*m + m) to the form c*m + x and give x.
7
Express (-8*g**2 + 26 - 26)*((3 + 3 + 0)*(-5*g + 4*g - 2*g) - 2 + 3*g + 2) in the form v*g**3 + j*g**2 + q + o*g and give v.
120
Express 561 + w**2 - 2*w - 2*w**3 - 267 - 2*w**4 - 298 as s*w**2 + r*w + b + o*w**3 + h*w**4 and give s.
1
Express 2*v + 2*v**3 - 3*v**2 - 12*v**2 + 15*v**2 as a*v**3 + h*v + x*v**2 + s and give h.
2
Rearrange (5*a + 4*a + 0*a)*(-11*a + 35 - 35) + (a - a + 2*a)*(-1 - 2*a + 1) + 0 - 3 - 4*a**2 + 5*a**2 to the form y*a**2 + k*a + b and give k.
0
Express (15 - 3 - 2 + (4 - 3 + 1)*(-3 - 3 + 4))*(0*v**3 - 2*v**3 - 3*v**3) in the form z*v**2 + b*v**3 + x + l*v and give b.
-30
Express -56*i + 152*i + 24*i as s*i + b and give s.
120
Rearrange 10*j**3 + 6*j**3 - 50*j**3 - 7*j + 2*j - 49*j**3 to the form k*j**3 + h + l*j**2 + n*j and give k.
-83
Rearrange -201*l - 97*l**2 + 201*l + (0*l - 3*l + 5*l)*(-3*l - 3*l + 4*l) - 4*l**2 - 2*l**2 + 4*l**2 to the form y + n*l + w*l**2 and give w.
-103
Rearrange 6993*u - 6984*u - 4 - 2 to t + y*u and give t.
-6
Express (-2 + 2*b + 2)*(-73*b**2 + 36*b**2 - 19*b + 35*b**2) as n*b**3 + y*b**2 + c*b + a and give y.
-38
Rearrange 3 - 2*j**2 + 374*j**3 + 5 + 370*j**3 + j - 746*j**3 to p*j**3 + w*j + k*j**2 + b and give w.
1
Rearrange 6*m + 10482 + 17*m**4 + 2*m**2 - 10482 to d*m**4 + g*m**2 + b*m + h + v*m**3 and give d.
17
Express -114 + 25 + 30 - 950*l + 32 + 26 as t*l + w and give w.
-1
Rearrange -26*o - 1 + 1 - 3*o to m + y*o and give y.
-29
Express 53*v**3 + 82*v**3 + 85*v**3 - 151*v**3 - 22*v**2 as t*v**3 + m*v**2 + u*v + g and give m.
-22
Express 23*s**3 + 2 - 8*s**3 - 4*s**3 - 4*s**3 + s**2 + 2*s**4 + 29*s - 9*s**3 as l*s**3 + p*s**2 + n*s + a*s**4 + j and give l.
-2
Rearrange -80 + 80 + 4*x - 51*x to t + w*x and give t.
0
Rearrange -90*m + 198*m - 2*m**2 - 90*m - 2*m**2 - 101*m to c*m + k + j*m**2 and give c.
-83
Rearrange -23*z**2 - 2*z**4 + 1 - 10*z**3 + 21*z**2 - 55*z - z**3 + 57*z to the form t*z**3 + n + b*z**2 + c*z + g*z**4 and give t.
-11
Rearrange 603*n - 904*n + 585*n to v*n + b and give v.
284
Rearrange -2*x**2 + 5*x**2 + 9*x**2 - 6*x**2 + 20*x**2 - 4*x**2 + (2*x - 3 + 3)*(-1 + 1 - 2*x) - 5*x - x**2 + 5*x to s + f*x + d*x**2 and give d.
17
Rearrange 4*w**2 - w**2 - w**2 + 2107*w**2 - 5*w - 2087*w**2 + 3*w + (3*w + w - 3*w)*(-401 - 28*w + 401) to the form k + h*w**2 + b*w and give b.
-2
Rearrange (29*i**3 - 18*i**3 - 16 - 9*i**3)*(3*i - 15*i + 6*i) to j*i**4 + p*i**2 + c*i**3 + v*i + a and give j.
-12
Express (-1 + 1 - 7)*(3 + 1 - 6 + (0 + 3 - 4)*(-1 + 1 - 2) + 3 - 6 + 1 + 3 - 5 + 1)*(8*f + 0*f + 18*f) as i + j*f and give j.
546
Rearrange -3264*p**3 - 1 - 3*p**2 + 4*p**2 + 3262*p**3 + 2*p**2 - 40*p to the form y*p**2 + g*p**3 + s + v*p and give g.
-2
Express 30 + 261 - t + 100 + 70 + 84 in the form h*t + x and give h.
-1
Express -93*m - 26*m + 69*m - 92*m in the form q + v*m and give v.
-142
Rearrange -213*j + 224*j - 498*j - 3*j**2 - 110*j to p + g*j**2 + y*j and give g.
-3
Express 119 + d**4 + 10*d + d**4 - d**2 - 121 - 2*d**3 + 14*d**2 as r*d + o*d**3 + k*d**4 + n*d**2 + i and give o.
-2
Rearrange 58*l + 132*l + 18*l + 21*l to the form r*l + f and give r.
229
Rearrange 75*i**3 + 45*i**3 - 60*i**2 - 121*i**3 to the form c*i + r + w*i**2 + x*i**3 and give x.
-1
Rearrange -16*t - 16*t - 25*t + 58*t + 58*t**2 to k*t + r*t**2 + j and give k.
1
Express 3*l + 239*l + 11*l + 6*l in the form z + q*l and give q.
259
Express 26 - 37*k - 25 - 31*k**2 - 2*k**4 + 4*k**3 + 37*k in the form b + t*k + x*k**2 + w*k**4 + u*k**3 and give u.
4
Rearrange -82*d + 18*d - 94*d + 4*d - 188*d to the form b*d + x and give b.
-342
Rearrange -2*f**4 + 16 - 18 + 4*f**2 - 7*f**3 + f**4 to m*f**2 + g + p*f + s*f**3 + t*f**4 and give s.
-7
Rearrange 289*m**2 - 319*m**2 - 779*m**2 to i + g*m**2 + w*m and give g.
-809
Rearrange -81 - u - 6*u + 6*u + 3*u to g + b*u and give b.
2
Rearrange 7*h**2 - 31*h**2 - 42 + 22*h**2 + (4*h - 5*h + 2*h)*(-h + 0*h - h) to q + j*h**2 + y*h and give q.
-42
Express 9*y**3 - 6*y**3 - 4*y**3 - 275*y**2 - y**3 in the form c + s*y**2 + g*y + q*y**3 and give g.
0
Rearrange (3*x**2 - 6*x**2 + 2*x**2)*(447 - 397 + 125 + 1147) to b*x + g + u*x**2 and give u.
-1322
Express -4732 + 4732 + 140*s as o + d*s and give d.
140
Rearrange (5*n - 5*n + n)*(53 - 40 + 61)*(11 + 8 - 9) to the form v + b*n and give b.
740
Rearrange -15392*s**2 + 6*s + 15*s + 15394*s**2 to k*s**2 + t*s + q and give t.
21
Rearrange (10*l - 17*l - 9*l)*(0 + 0 - l + 3 - l - 3 + (-4 + 0 + 3)*(0 + 0 - 5*l)) to b*l**2 + v*l + g and give b.
-48
Rearrange -2*p**2 - 12*p**3 - 1 - 34*p**3 - 5*p**3 to the form u*p**3 + g*p**2 + x + w*p and give g.
-2
Rearrange -11*p**2 + p + 3*p**2 - 5 + p**4 + 3*p**2 - 2*p to the form v*p**2 + x*p + a + u*p**4 + r*p**3 and give a.
-5
Express 32*n + 1 - 29*n**2 - 30*n + 6*n**2 as c*n + h*n**2 + r and give r.
1
Rearrange 284*c**3 - 2379*c**2 + 2379*c**2 + 0*c**3 + 4*c**3 - c**3 + (-2*c - c + c)*(c - c - 2*c**2) to the form p*c + l*c**3 + d*c**2 + h and give l.
291
Rearrange (m + 2*m - 2*m)*(m**3 - m**3 + 2*m**3) - 4*m**4 + 50*m - m**2 - 540 + 7*m**4 + 542 to x + c*m**2 + z*m**4 + r*m + u*m**3 and give z.
5
Rearrange -105 + 106 + 2*o**4 + o + o**2 - 3*o - o**3 to h + i*o**2 + n*o**3 + s*o + l*o**4 and give i.
1
Express -2480*v + 2480*v - 487*v**2 as o + q*v + p*v**2 and give o.
0
Rearrange 67 - 19 - 14 + 15*p - 2*p to the form f + d*p and give f.
34
Rearrange -16*q**3 + 2*q**2 - q**3 + 1 + 8 - 10 to n*q + r*q**3 + d*q**2 + z and give r.
-17
Express (0 - 4 + 5)*(-3*m + 6*m - m) + (-7 - 9 - 1)*(8 - 8 - m) as f*m + c and give f.
19
Rearrange 84 + 75 + 151*f - 157 to h*f + n and give n.
2
Rearrange (12*g - g - 2*g)*(-3*g + 2*g - g) + (g - 4*g + 9*g)*(-3 - 2*g + 3)*(2 + 2 - 5) to w + b*g**2 + u*g and give b.
-6
Rearrange ((1 + 1 - 3)*(-4*v + 2*v + 4*v) - 6*v - 2*v + 12*v + (3 + 0 - 1)*(-2*v + 5*v - 2*v))*(2*v - 15*v - 19*v) to t*v + l*v**2 + z and give z.
0
Rearrange (2*d + 3*d - 7*d)*(-15*d + 4*d + 2 + 6*d)*(-4*d + 3*d + 5*d) to s*d**2 + w*d + v*d**3 + b and give v.
40
Rearrange -104*f + 34 - 145 + 68 + 32 + (6 - 5 + 0)*(f + f + 0*f) + f + 1 - 1 to the form a + o*f and give a.
-11
Rearrange 2*y**4 - 19 - 104*y**3 - 1 + 106*y**3 - y to u*y**3 + m*y**2 + l*y**4 + d + s*y and give m.
0
Express 82*y - 88*y + 21*y**2 + 13*y**2 - 6*y**2 in the form d*y + w + k*y**2 and give k.
28
Rearrange -4*v**2 - 29 + 9 + 15 + 9 + v + 38*v**3 - 27*v**3 to z*v**3 + b*v**2 + j + y*v and give b.
-4
Rearrange 34*o**2 - 57*o**2 + 0*o**3 + 28*o**2 + 13*o - 2*o**3 to v*o**2 + p + w*o + m*o**3 and give w.
13
Express -1347*l**4 - l**3 - 1341*l**4 - 2*l + 2686*l**4 - 121*l**2 + 2 as s*l**3 + x*l**4 + b + t*l + i*l**2 and give i.
-121
Rearrange (-4 + 4 - 4*a**2)*(1 + 5 - 4)*(-4 - 3 - 9) to the form v*a + b*a**2 + z and give b.
128
Rearrange -42*h**2 + h + 26*h**2 + 13*h**2 to p*h + n*h**2 + l and give n.
-3
Rearrange (a - 5748 + 2962 + 2954 - 2*a)*(-1 + 1 + 2) to b*a + h
|
{
"pile_set_name": "DM Mathematics"
}
|
than j?
True
Let d = -234 + 1081. Suppose 0*y = 4*y + 3*a - d, 0 = 4*y - 4*a - 812. Is 209 less than y?
False
Let j be (-24)/(-42)*(4/(-34) - 12636/1836). Which is smaller: -117/38 or j?
j
Let p = -1630 + 2863. Are p and 1232 nonequal?
True
Let d be (-40)/(-22) - 0 - -2. Let v(h) = h**3 - 11*h**2 + 28*h + 13. Let m = 30 - 25. Let r be v(m). Which is bigger: r or d?
d
Let l = -0.201 - -125.201. Are l and 0.8 non-equal?
True
Let w(f) = -7*f - 36. Let u be w(-5). Let n(z) = -z**3 - 9*z**2 + 8*z. Let a(q) = q + 1. Let p(v) = u*n(v) - 4*a(v). Let o be p(-10). Which is greater: 2 or o?
o
Let h = 0.49 + 0.59. Let t = h + -54.38. Let r = t - 7.7. Which is smaller: 1 or r?
r
Suppose -3*v + 6*b + 314 + 802 = 0, -5*b + 1875 = 5*v. Which is greater: v or 1123/3?
1123/3
Let y = 137.38 + -137.6. Are y and 0.036 equal?
False
Let x = -19.73 - 0.07. Let g = -25.8 - x. Is g >= 2?
False
Let u(b) = 168*b - 5. Let m be u(2). Suppose m = 5*d - 164. Is 98 >= d?
False
Suppose 2*i - 5*o = 196, 94 = 2*i + 4*o - 120. Let y = -102 + i. Which is smaller: y or 3/8?
3/8
Let a(t) = -t**2 - 5*t - 9. Let r be a(-7). Let u = -108 + 220. Let v = 90 - u. Is r smaller than v?
True
Suppose -2*o + 73 = 79, -d + 2*o = -38. Which is bigger: d or 2?
d
Let g(j) = j**3 - 15*j**2 + 29*j - 36. Let k be g(13). Suppose 0 = -5*s + k - 13. Which is bigger: -20 or s?
s
Let y = -87 - 69. Let v = 264 + y. Do -2/5 and v have the same value?
False
Suppose -5*n + 39 = 8*n. Suppose a = 3*i + 258 - 103, 3*i + n*a = -135. Is i at most -50?
True
Let d(y) be the third derivative of y**6/120 - y**5/15 - y**4/24 + y**3/6 - 3*y**2. Let f be d(4). Let t be -18*(1 + (-95)/105). Which is smaller: f or t?
f
Let o(c) = 2*c**3 - 1. Let s be o(1). Let f = -83.32 + 85. Let g = -16.68 + f. Is g at most s?
True
Let l = 2169 + -1038. Is l < 5656/5?
True
Let w = 0.1705 - 0.5805. Let i = 6.1 - 1.1. Let g = -4.9 + i. Is w at most as big as g?
True
Let m = 52 - 49. Suppose 5*l + m*l = 96. Let f be 4 + -6 + 1 + l. Do f and 11 have different values?
False
Let n(h) = 228*h**2 - 19*h + 3. Let q be n(9). Let k be (q/(-106) + -2)*(-6)/(-4). Let f = 262 + k. Is f bigger than 0?
True
Let c(s) = 2*s**2 - 109*s + 464. Let i be c(60). Does 1124 = i?
True
Suppose -293 - 44 - 143 = 5*j. Which is smaller: -70 or j?
j
Suppose 0 = 4*s + 21 + 15. Suppose -2*f = -2*o + 34, 111 = -5*f - 3*o + 98. Is s < f?
True
Let b be -4 + 7104/(-30) - 2/10. Let j = b + 239. Which is bigger: j or 0?
0
Let s = -104 - -105. Let t be s/(-3) - 632/12. Suppose -7*a + 169 - 533 = 0. Is t smaller than a?
True
Let x = -7533 - -7993. Which is greater: x or -7?
x
Let o be ((-12)/56)/((-20)/14). Let k(y) = 6*y + 69. Let n be k(-6). Let i = 34 - n. Which is smaller: i or o?
o
Let a(k) = k - 7. Let t = 18 - 12. Let d = t + -18. Let i be a(d). Which is bigger: -20 or i?
i
Let r = 1669/415580 + 1/1889. Suppose 0 = -s - 3*t - 6, -3*s = -2*s + 4*t + 7. Let a be s/(-6)*-1*(-8)/(-4). Is a greater than r?
False
Suppose -17*w - 135 + 237 = 0. Let o = 26 - 19. Let a be -1 + (o - -3 - 0). Which is smaller: a or w?
w
Let m = -0.01245 + 1.11245. Are m and -0.052 non-equal?
True
Suppose 0 = 1628*w - 1642*w - 13860. Is w less than -992?
False
Let j be 604/(-38) - (-12)/(-114). Let h = j + 24. Suppose -h = -u - 10. Which is bigger: 1 or u?
1
Let c = -393 + 395. Suppose 8*q - 10*q + c*v = 8, 1 = q + 4*v. Is q <= 4?
True
Let v = -2480 - -2479. Let t(i) = -6*i**2 + 37*i - 13. Let c be t(12). Is c less than v?
True
Let x be ((-1134)/26)/3*(-22 + 3224/182). Is 63 equal to x?
False
Suppose -5*j + 11875 = -3*n, 5*j - n = 4*n + 11875. Suppose -j = -8*z - 17*z. Is z <= 96?
True
Let c = 25290 - 25291. Let w be 1 + -10 - (0 + -1). Let r = w - -12. Which is bigger: c or r?
r
Let d be ((-13685)/(-6))/5 - 1. Let o be (5/10)/(11/10054). Let k = o - d. Which is bigger: k or 1?
k
Let p be 6 + (6 - 81) + 7. Let t = p + 0. Which is bigger: -60 or t?
-60
Let q = -105 - -236. Suppose -125 = -2*a - q. Which is smaller: -25/13 or a?
a
Let c = -65.1 - -6.1. Let o = 0.192 + 44.808. Let y = o + c. Which is smaller: y or -0.1?
y
Let n = 207 + -92. Suppose -169*l + 13804 = -50*l. Is n < l?
True
Let b = -156 + 159.82. Let u = 3.9 - b. Let y = 11/2 + -81/14. Do y and u have the same value?
False
Let i be 3 + (-7)/(-21)*-21 - (-364)/113. Is i greater than 0.1?
False
Suppose -191 = 2*d + 933. Are -567 and d non-equal?
True
Let z be (-14)/49*((-570)/21 - 72/(-12)). Which is smaller: z or 5?
5
Suppose j + 11 = 3*z + 5*j, -2*j = 4*z - 8. Suppose 2*k = 0, -5*o - 4*k - 225 = -0*k. Let u be 44/198 - (-1)/o. Which is smaller: z or u?
u
Let v = 1.06 - 1. Let i = -9648 - -9645. Do v and i have the same value?
False
Let g(q) = 14 + 6 - 12 - 9*q. Let c be g(-6). Let b = -59 + c. Which is greater: b or 1?
b
Let y(s) = s**3 - 2*s**2 - 2*s - 3. Let t(c) = 3*c. Let n be t(1). Let m be y(n). Which is bigger: 12/19 or m?
12/19
Let l = -275.2 - -284. Let t = 0.3 + -0.2. Which is greater: t or l?
l
Let d = -4729 + 4729.4. Which is bigger: d or 140?
140
Suppose 517*x + 64068 = 498*x - 29754. Is -4939 != x?
True
Let i = -1699 - -1699. Let r be (-15)/(-20)*(-68)/(-30). Which is smaller: r or i?
i
Let t = 0.029 - -0.971. Let v = -256.7 + 263. Which is bigger: v or t?
v
Let x = 20614399/11010 - 5617/3. Which is greater: -1 or x?
x
Let t(k) = 4*k + 3 + 5*k**3 + 4*k**2 - 7*k**3 + 3*k**3. Let m be t(-3). Let l be 45/(-114) - (-2)/4. Is l > m?
True
Suppose -3*t - z - 11 = 0, -3*z = 2*z + 25. Suppose 12*p = 16*p + 120. Let x = -61/2 - p. Is t <= x?
True
Let i(a) = 20*a - 352. Let q be i(17). Let m be (q/(-14))/((-40)/280). Let w = -1/12 - 29/4. Is m at most w?
False
Let z = 32243 - 32238. Is 167/34 less than z?
True
Let h = -73921 + 73887.009. Let r = -12757 - -12757.009. Let z = r - h. Which is smaller: z or -1?
-1
Let m be 14/(-5) + 2 + (-1074)/(-30). Let d(l) = -l**3 + 37*l**2 - 72*l + 84. Let k be d(m). Which is smaller: k or 12?
12
Let j = 2814 - 2830. Which is smaller: j or 98?
j
Let b be (-2 + 1)*-3 + -5. Let y = -17.6 - -19.2. Which is smaller: y or b?
b
Let r be -104 - (6/(-12))/((36/(-56))/9). Which is smaller: r or -1111/10?
-1111/10
Suppose -1542 - 378 = 10*t. Let k be ((-9)/(-4))/((-36)/t) + -4. Which is smaller: 7 or k?
7
Let j(m) = 9*m + 50. Suppose 9 = -4*z + 25. Let b be (z - (-1 + 2))/(3/(-6)). Let n be j(b). Is n not equal to -6?
True
Let a(u) = 9*u**3 + 8*u**2 - 18*u + 8. Let n be a(5). Suppose -n = 5*z - 6*z. Let t = 9959/8 - z. Which is smaller: t or 3?
t
Suppose 3*u + 12 = 0, -3*z + 5*u - 2*u - 93 = 0. Let v(k) = -k**2 - 2*k + 2. Let t be v(-3). Which is smaller: z or t?
z
Let v be (2/(-5))/((-3)/(-115)). Let m(s) = 8*s**2 + 373*s + 4184. Let k be m(-19). Is v at least k?
False
Let l = 456 + -456. Is l at least -1015?
True
Let u = -9706 - -5508. Which is greater: u or -4199?
u
Let y = -2.962 - -16.962. Which is greater: y or 0.4?
y
Let u(d) = 34*d + 426. Let m be u(15). Is -2/5 > m?
False
Suppose -27 = -4*c + 29. Suppose c = 6*i + i. Suppose 3*b - i = 43. Is b not equal to 17?
True
Suppose -5*k - 14*k - 1188 - 4265 = 0. Is k bigger than -277?
False
Let b(s) = -103*s + 37. Let l be b(8). Let a be 1*-3*-1 + 2360/l. Is a < -1?
False
Let s(k) be the third derivative of -k**5/60 - k**4/2 - 2*k**3/3 + 4*k**2. Let o be s(-12). Let z be (-4)/o - 134/130. Which is greater: z or 0?
0
Suppose -291*n - 1185 = 1434. Which is smaller: n or -397/39?
-397/39
Let z = -718928/9 + 80121. Let a = z + -240. Which is smaller: a or -3?
-3
Let q = -7384 + 7068. Is q > -316?
False
Let y be (-1 + 4)*-1 - -3. Suppose y = -5*v + 34 + 96. Which is smaller: 29 or v?
v
Let r = -37 + 58. Let l be ((-140)/(-210))/(-1 - 509/(-507)). Let f = l - 146. Is f bigger than r?
True
Let x be 4*(-10 - 1290/(-20)). Let t(h) = h**3 - 5*h**2 + 217. Let q be t(0). Which is bigger: x or q?
x
Suppose -98*b - 3*k = -105*b - 2170, 0 = 4*b - 4*k + 1224. Which is smaller: b or -311?
b
Suppose -467 = 5*a - 4*n, 41*a - 36*a + 464 = 3*n. Which is smaller: a or -98?
-98
Let t = 33690384368 - 2323303678894/69. Let a = -19316941 + t. Let r = a + 383. Is r greater than or equal to 1?
False
Let y be 10 + (7 - (-88)/(-12))*-2931. Is y bigger than 988?
False
Let b = 20 + -19.91. Let v = 0.01 + b. Let f = 7 + -20. Is v less than f?
False
Let d(h) be the third derivative of h**5/
|
{
"pile_set_name": "DM Mathematics"
}
|
ctors of 58512407.
31, 60887
List the prime factors of 340534089.
3, 7, 17, 317959
What are the prime factors of 141216894?
2, 3, 7, 13, 73, 1181
List the prime factors of 69928570.
2, 5, 29, 59, 61, 67
What are the prime factors of 601314528?
2, 3, 37, 41, 4129
What are the prime factors of 1787995294?
2, 893997647
List the prime factors of 1777429863.
3, 11, 1632167
List the prime factors of 36623154.
2, 3, 6103859
List the prime factors of 76001944.
2, 937, 10139
What are the prime factors of 369088811?
7, 13, 439, 9239
What are the prime factors of 1591204796?
2, 53, 199, 37717
What are the prime factors of 1052306376?
2, 3, 11, 3986009
List the prime factors of 287142186.
2, 3, 47857031
List the prime factors of 168291104.
2, 643, 8179
List the prime factors of 233186099.
37, 6302327
What are the prime factors of 117085024?
2, 7, 283, 1847
List the prime factors of 27649690.
2, 5, 163, 16963
What are the prime factors of 186577597?
499, 373903
What are the prime factors of 1050122256?
2, 3, 1619, 13513
List the prime factors of 11541696.
2, 3, 47, 1279
List the prime factors of 65651670.
2, 3, 5, 7, 14887
What are the prime factors of 36785060?
2, 5, 13, 141481
List the prime factors of 185288601.
3, 503, 122789
What are the prime factors of 459394?
2, 13, 17669
List the prime factors of 90535875.
3, 5, 241429
List the prime factors of 226686889.
11, 13, 1091, 1453
What are the prime factors of 74838354?
2, 3, 223, 55933
List the prime factors of 102408921.
3, 797, 4759
What are the prime factors of 710071818?
2, 3, 397, 298099
List the prime factors of 1301488144.
2, 11, 19, 131, 2971
List the prime factors of 618783186.
2, 3, 7, 73, 201821
List the prime factors of 1287851890.
2, 5, 13, 67, 147859
What are the prime factors of 2798522?
2, 1399261
What are the prime factors of 31791378?
2, 3, 5298563
List the prime factors of 23617178.
2, 13, 908353
List the prime factors of 119238509.
13, 19, 23, 139, 151
List the prime factors of 131562218.
2, 17, 53, 73009
List the prime factors of 2233791705.
3, 5, 71, 541, 3877
List the prime factors of 337901549.
83, 1697, 2399
List the prime factors of 440673720.
2, 3, 5, 3672281
What are the prime factors of 151739743?
151739743
What are the prime factors of 676417222?
2, 13, 1117, 23291
List the prime factors of 27039350.
2, 5, 13, 17, 2447
What are the prime factors of 99507248?
2, 6219203
What are the prime factors of 53460310?
2, 5, 41, 101, 1291
List the prime factors of 2084454345.
3, 5, 138963623
What are the prime factors of 31145944?
2, 3893243
What are the prime factors of 869675412?
2, 3, 197, 367883
What are the prime factors of 43298140?
2, 5, 37, 58511
List the prime factors of 1158778816.
2, 13, 1392763
List the prime factors of 33726457.
33726457
List the prime factors of 1095180888.
2, 3, 811, 56267
List the prime factors of 63252153.
3, 7028017
What are the prime factors of 108082372?
2, 461, 58613
What are the prime factors of 81628926?
2, 3, 13604821
List the prime factors of 271239093.
3, 809, 37253
List the prime factors of 32385781.
32385781
What are the prime factors of 35570583?
3, 146381
What are the prime factors of 542918237?
283, 1918439
List the prime factors of 239992507.
4937, 48611
List the prime factors of 1156733273.
23, 229, 219619
What are the prime factors of 444072754?
2, 1499, 148123
What are the prime factors of 49159049?
49159049
What are the prime factors of 101519763?
3, 33839921
List the prime factors of 13316079.
3, 7, 167, 3797
What are the prime factors of 2053797234?
2, 3, 17, 20135267
List the prime factors of 109058986.
2, 54529493
What are the prime factors of 60489180?
2, 3, 5, 37339
What are the prime factors of 16752545?
5, 257, 13037
List the prime factors of 113958092.
2, 89, 320107
List the prime factors of 18148239.
3, 71, 9467
List the prime factors of 6022958088.
2, 3, 7, 331, 15473
What are the prime factors of 31133644?
2, 7783411
What are the prime factors of 24410909?
24410909
What are the prime factors of 857371269?
3, 285790423
What are the prime factors of 369633731?
103, 3588677
List the prime factors of 23183467.
23183467
What are the prime factors of 146795705?
5, 7, 1307, 3209
List the prime factors of 98366847.
3, 32788949
List the prime factors of 2200595217.
3, 397, 1847687
List the prime factors of 69657532.
2, 7, 37, 71, 947
What are the prime factors of 371975474?
2, 13, 251, 56999
What are the prime factors of 65021892?
2, 3, 13, 67, 6221
List the prime factors of 1702373835.
3, 5, 31, 3661019
List the prime factors of 119093063.
119093063
List the prime factors of 377103041.
7, 5711, 9433
List the prime factors of 122922517.
122922517
What are the prime factors of 553959356?
2, 138489839
What are the prime factors of 1953881597?
24683, 79159
What are the prime factors of 266992544?
2, 7, 13, 277, 331
List the prime factors of 251374651.
11, 823, 27767
What are the prime factors of 111857555?
5, 22371511
List the prime factors of 48467996.
2, 1049, 11551
What are the prime factors of 31078175?
5, 23, 54049
What are the prime factors of 118975077?
3, 13, 1016881
What are the prime factors of 824568995?
5, 331, 601, 829
What are the prime factors of 587578642?
2, 7, 41969903
List the prime factors of 67164853.
7, 23, 417173
List the prime factors of 34201520.
2, 5, 19, 22501
What are the prime factors of 205551061?
271, 758491
What are the prime factors of 2383718947?
257, 9275171
List the prime factors of 1154682988.
2, 288670747
What are the prime factors of 748977413?
257, 2914309
What are the prime factors of 37817071?
37, 1022083
List the prime factors of 1982244933.
3, 1031, 71209
List the prime factors of 409916775.
3, 5, 587, 9311
List the prime factors of 2162386524.
2, 3, 31, 5812867
List the prime factors of 82490475.
3, 5, 199, 5527
What are the prime factors of 17047840?
2, 5, 47, 2267
List the prime factors of 276221749.
31, 8910379
What are the prime factors of 3925021354?
2, 1962510677
List the prime factors of 102767504.
2, 7, 19, 6899
What are the prime factors of 127984123?
127, 1007749
What are the prime factors of 8317614970?
2, 5, 7, 739, 160789
What are the prime factors of 109412146?
2, 19, 47, 61261
List the prime factors of 182160705.
3, 5, 593, 20479
List the prime factors of 1167308791.
11, 17, 167, 37379
List the prime factors of 1902964817.
13, 19, 7704311
List the prime factors of 375942874.
2, 163, 1153199
What are the prime factors of 3371819247?
3, 1999, 187417
What are the prime factors of 1250674842?
2, 3, 208445807
List the prime factors of 112932968.
2, 1847, 7643
What are the prime factors of 1374626454?
2, 3, 2749, 83341
What are the prime factors of 89957141?
1583, 56827
List the prime factors of 1354769145.
3, 5, 67, 49927
List the prime factors of 451250323.
19, 23750017
What are the prime factors of 1115065297?
107, 1217, 8563
What are the prime factors of 6340792163?
67, 1907, 49627
What are the prime factors of 4387552375?
5, 139, 373, 677
What are the prime factors of 358524481?
7, 227, 225629
List the prime factors of 20488026.
2, 3, 13, 17, 15451
What are the prime factors of 33011457?
3, 241, 45659
What are the prime factors of 643240441?
17, 191, 397, 499
What are the prime factors of 209586208?
2, 13, 157, 3209
List the prime factors of 16092377.
7, 41, 47, 1193
List the prime factors of 9594567.
3, 1066063
What are the prime factors of 1912434210?
2, 3, 5, 17, 179, 6983
What are the prime factors of 42200350?
2, 5, 37, 22811
What are the prime factors of 13220170?
2, 5, 23, 229, 251
List the prime factors of 87718416.
2, 3, 37, 49391
What are the prime factors of 47035123?
47035123
What are the prime factors of 92469333?
3, 11, 19, 139, 1061
List the prime factors of 127629930.
2, 3, 5, 83, 51257
List the prime factors of 31292068.
2, 7823017
What are the prime factors of 1831432975?
5, 73257319
List the prime factors of 2350901157.
3, 11, 5113, 13933
List the prime factors of 1995102326.
2, 7, 2777, 7331
List the prime factors of 18103941.
3, 19, 105871
What are the prime factors of 2616737779?
19, 73, 967, 1951
List the prime factors of 1823134961.
17, 107243233
What are the prime factors of 1275882814?
2, 509, 1253323
List the prime factors of 588641607.
3, 337
|
{
"pile_set_name": "DM Mathematics"
}
|
/22 - (17222/(-22) - 4) prime?
True
Suppose 14*x - 12*x = 1030. Is x a composite number?
True
Let w(h) = -h**3 - 7*h + 1. Is w(-6) composite?
True
Suppose 9 = 4*n - 4*v - 11, 5*n + 5*v = -25. Suppose n = -3*a + 2*a + 65. Is a prime?
False
Suppose -2*b = -3 - 1. Suppose 4*d - 114 = 2*d - b*a, 5*a = 20. Is d a prime number?
True
Let o(h) = -37*h + 3. Suppose -5*l - 2*q = 26, 2*l - 4*l + 4*q = -4. Let t be o(l). Let c = t - 96. Is c a prime number?
False
Let t be (4 + -1)*3/1. Suppose 0 = -z + t + 53. Let p = z - 43. Is p prime?
True
Suppose -3*o = 2*o + 3*c + 5, -5*c + 13 = 3*o. Let r be ((-8)/(-6))/o*-12. Suppose -r*p + 88 = u, -5*u = -2*p + 37 + 29. Is p prime?
True
Let q(y) = 5*y**2 + 3. Suppose -3*i - c - c = -4, 2*c - 6 = -4*i. Is q(i) composite?
False
Let d = 705 - -174. Is d composite?
True
Suppose 2316 - 502 = 2*c. Is c prime?
True
Suppose 4*v + 3*n = -314, -4*n + 2*n - 312 = 4*v. Let b = -55 - v. Let y = b + -1. Is y composite?
True
Suppose -3*a + 36 = -0*h + 2*h, -h = -a + 7. Let p(m) = -m**3 + 12*m**2 - m - 5. Is p(a) composite?
True
Let h be ((-65)/10)/((-2)/8). Let m = 12 + h. Is m a composite number?
True
Suppose 5*n - 2 + 7 = 0. Is (n - -5)/(12/30) composite?
True
Let n(u) = -4*u - 13. Is n(-15) a composite number?
False
Suppose 4*i - 4 - 8 = 0. Let n be ((-488)/(-12))/(i/9). Let c = n - 75. Is c composite?
False
Let f = -64 - -12. Let c = f - -85. Is c composite?
True
Let c(s) be the third derivative of -13*s**4/24 - 2*s**3/3 + 8*s**2. Suppose -2*g = 3*z - 3*g + 5, 4*z = -3*g - 24. Is c(z) a prime number?
False
Suppose 0 = 5*u - 7312 + 507. Is u prime?
True
Suppose 1 - 7 = -2*k. Let y be -11 - (0 + (1 - k)). Let v = y + 16. Is v composite?
False
Let k(s) = -2*s - 4. Let b be k(-3). Is 38 - (0/b + 1) prime?
True
Let b(l) = -l**3 + 2*l**2 + 3*l - 2. Let n be b(3). Let q(v) = -v**2 + 5*v. Let r be q(3). Is 8/r*(1 - n) a prime number?
False
Suppose -320 - 276 = -2*w. Is w prime?
False
Let c be (-3 + -5)*3/(-12). Suppose -c*r - 570 = -4*r - 2*m, 0 = 4*r - 2*m - 1152. Is r prime?
False
Suppose -2*h + 7*o - 2*o = 17, 0 = 5*h - 4*o. Suppose -2*a - 473 = -5*l, h*a + 280 = 3*l - a. Is l composite?
True
Is ((-3511)/2)/(27/(-54)) a prime number?
True
Let y(k) = -k - 3. Let r be y(-7). Suppose 0 = -r*m + 2*m + 52. Is m prime?
False
Suppose 0*q = 5*q - 7325. Is q a prime number?
False
Suppose 1124 - 240 = 4*m. Is m a composite number?
True
Suppose -51 = -g - a + 47, -3*g = -2*a - 289. Is g a composite number?
False
Suppose 1308 = 4*u - 0*u. Let v = u + -194. Is v composite?
True
Is (-2)/3*2910/(-20) a prime number?
True
Suppose k - 5*k = -5*m - 207, 2*m = -3*k + 184. Is k a prime number?
False
Let v = 69 - 20. Is v a composite number?
True
Suppose 0*m + 4 = 4*m, -d = -5*m - 134. Is d prime?
True
Suppose 4*v + 4 = -0. Let a(x) = x. Let m be a(-4). Is 4*(v - 35/m) prime?
True
Let k = -25 + 0. Let o = k - -37. Is 369/o + 1/4 a prime number?
True
Let b be 29 + 0 + 0/7. Suppose 0 = -3*y + b + 166. Is y composite?
True
Let s = 14 - 4. Suppose 4*c - 2*z - 32 = 2*z, 2*c = 5*z + s. Is c a composite number?
True
Let x be (0 - 5/(-2))*2. Suppose x + 23 = 4*d. Let t = d + 3. Is t composite?
True
Let r = 140 + -65. Suppose -4*o + 2*y + 206 = 0, o - 53 = -0*o - y. Let b = r - o. Is b a prime number?
True
Suppose -4*g + b + 13623 = 6*b, 0 = -2*g - 4*b + 6810. Is g a prime number?
True
Is 219 + (3/3 - -3) a composite number?
False
Suppose 5 = -3*m + 4*m. Suppose 0*d + m*d - 250 = 0. Let a = -17 + d. Is a prime?
False
Let z(i) = -5 + 4 - i + 13*i + 8. Is z(6) a prime number?
True
Suppose 3*k = -4*j - 1 - 3, -5 = -4*k + 5*j. Suppose b - y = 88, -98 = -k*b - b + 3*y. Is b prime?
True
Is (-18)/3*(-1)/6 - -2742 composite?
True
Let z(d) be the second derivative of 23*d**3/3 - 3*d**2/2 - 3*d. Is z(2) a prime number?
True
Suppose -2*g = -g - 1. Let r(a) = -2*a - 1 + 4*a - 2*a**2 + 40*a**3 + 0*a. Is r(g) a prime number?
False
Suppose -2*t - 2*t = -1484. Let v = t + -228. Is v a composite number?
True
Let x(q) = -q**2 - 14*q - 3. Let f(d) = 3*d + 12. Let h be f(-8). Is x(h) prime?
False
Let q = -851 - -533. Is (q/(-2 - 1))/2 composite?
False
Let m(v) = v**3 - 6*v**2 + 4. Let c be m(7). Suppose -g + c = -0*g. Is g composite?
False
Suppose 12 - 27 = -3*u. Suppose -u*o - 9 + 574 = 0. Is o prime?
True
Let h = -16 + 31. Suppose h = 5*q, -3*i + 7*i - 3*q - 811 = 0. Is i a prime number?
False
Is (3 - -1658) + -2 - (0 + 4) composite?
True
Suppose 4*g = -2330 + 10998. Is g composite?
True
Let l be 2/6 + 4/(-12). Suppose 2*f - 2*n + 310 = 4*f, -4*f + 5*n + 602 = l. Suppose -5*y + 2*y = -f. Is y a composite number?
True
Let w be -2 + -3 - (3 + 1). Is (489/w)/((-1)/3) a composite number?
False
Let b(f) = f**3 - 9*f**2 - 4. Let o be (-29)/(-3) + (-6)/9. Let k be b(o). Is 414/22 - k/22 a prime number?
True
Suppose -5*s = -0*s. Suppose s = -2*h + 3*h - 89. Is h prime?
True
Let f(i) = -i**3 - 4*i**2 + 5*i + 2. Let t be f(-5). Suppose 0 = -4*k + 3*p + 749, 3*k - t*p - 553 = 2*p. Is k a prime number?
True
Let n(w) = 176*w**3 - 4*w**2 + 3*w + 4. Is n(2) a prime number?
False
Let y = 2 - -2. Suppose 136 = -3*p + 7*p - y*x, 101 = 3*p - 4*x. Is p a prime number?
False
Suppose 2*x - 291 = 91. Is x composite?
False
Suppose 4*d - 5*s + 2 = 0, -3*d = 2*s - s - 8. Suppose -b + d = 6. Is ((-14)/6)/(b/36) a composite number?
True
Suppose 2*w + 3*n = 2*n + 13, 22 = 3*w + 2*n. Is w/(-10) + 1634/10 a composite number?
False
Suppose 2*h - 172 = -2*h. Is h a composite number?
False
Suppose -65 - 90 = -5*w. Let y = w + 429. Suppose 0*s = -4*s + y. Is s composite?
True
Let z(d) = -108*d + 2. Let m be z(-3). Let k = m + -229. Is k composite?
False
Suppose -4*a = -157 - 179. Suppose 4*h - a = -3*u - u, -4*h + 61 = 3*u. Is u composite?
False
Suppose 6 = -g + 2*y - 4*y, 3*g = 2*y + 22. Suppose -g*n - 226 = -6*n. Is n composite?
False
Let w = 1232 - 2479. Let n = -828 - w. Is n a prime number?
True
Let d = 0 + 2. Let q = d + 5. Suppose 3*p = -4*b + 258, q*b + 155 = 2*p + 4*b. Is p a composite number?
True
Let v(a) = 10*a**2 - 10*a + 7. Is v(6) a composite number?
False
Let u = 76 + 1261. Is u a composite number?
True
Let d = 57 - -26. Is d prime?
True
Let j be (3 - (1 + 2)) + 2. Suppose -7*a = -j*a + 5*l - 35, -2*a - 3*l = -19. Suppose -2*r + 273 = 5*p, a*p = r - 2*r + 110. Is p composite?
False
Suppose 0*m + 4*m + l = 4419, 2211 = 2*m + l. Suppose -b + 5*t = -540, 2*b - m = -t + 3*t. Is (-2)/(-3)*b/10 prime?
True
Let g = 657 - 322. Suppose 4*a - g = -a. Is a prime?
True
Let h = 12 - 52. Let w = h - -77. Is w a prime number?
True
Let n = 1251 - 512. Is n a composite number?
False
Let i be (-2)/6 - 196/(-21). Suppose -2*t = 2*x - 10, 5*x = i + 16. Suppose t = 3*v - 225 + 18. Is v a prime number?
False
Let j(q) = q**2 + 8. Is j(7) prime?
False
Suppose -3*i = -4*g + 1192, 0 = g + 5*i - 3*i - 298. Is g prime?
False
Suppose 21 = m + 7. Suppose -o + m = -6. Suppose w = -k + 43, o = -4*w + 4. Is k a prime number?
True
Suppose -161 = -i + 2*j, -4*i + 3*j + 228 = -401. Is i a composite number?
True
Suppose 4*p + 4*x = 3404, 2*p - 888 = -4*x + 814. Is p composite?
True
Suppose 4*t = -3*r + 2553, 2*t = -t. Let n = -433 + r. Let i = -261 + n. Is i composite?
False
Let l(c) be the third derivative of -c**6/60 - c**5/6 - c**4/8 - c**3 + c**2. Is l(-7) prime?
True
Let u be ((-4)/6)/(-2)*12. Let b(n) = -4 + 14*n**2 + u - 3 + 4. Is b(-3) prime?
True
Let n(j) = 9*j**3 - 4*j**2 + 25*j - 10. Let q(a) = -14*a**3 + 6*a**2 - 37*a + 15. Let r(f) = 8*n(f) + 5*q(f). Is r(6) prime?
False
Suppose 2*h + 0*h - 348 = 0. Let t = -40 + h. Is t a composite number?
True
Let r = 364 - 203. Is r a composite number?
True
Let q(r) = -22*r + 5. Let f be q(6). Let i = 204 + f. Is i prime?
False
Let p be -2 + (7 - 3) + -2. Suppose 0 = n - p*n + j - 15, -2*n + 23 = -5*j. Is n prime?
False
Let f = -3432 + 5003. Is f a prime number?
True
Let r be (-1)/3 + (-20)/(-6). Is (r + 3)*10/6 a composite number?
True
Let w be 0/((-2)/(-1)) - -3. Suppose -3*g = -w*r + 9, -4*r + r - g + 21 = 0. Suppose f - r = -0*f. Is f composite?
True
Let m = -100 - -226. Suppose 0 = 5*g - m - 59. Is g a composite number?
False
Suppose 0*t = x - t - 1755, -5*t + 8795 = 5*x. Is x composite?
True
Let s(r) be the third derivative of 0*r + 1/2*r**3 + r**2 - 2/3*r**4 + 0. Is s(-7
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose i*y = 41*y - 10752. Is 15 a factor of y?
False
Let s(u) = 2826*u**2 + 11*u - 12. Let m be s(1). Let n = m + -1873. Does 42 divide n?
False
Suppose -2*k = -4*b - 124756, -2*k = -2*b - 146586 + 21834. Is k a multiple of 164?
False
Let p(f) = 6*f**2 + 36*f + 109. Let d(z) = z**2 + 7*z + 22. Let k = 64 - 62. Let m(s) = k*p(s) - 11*d(s). Is 3 a factor of m(9)?
True
Let g(k) = 1543*k - 493. Does 6 divide g(1)?
True
Let s be (-10)/(-3)*12 + 3 + -1. Suppose s = 2*b - 134. Does 29 divide (b - -3)*1*1?
False
Suppose -h = -4*a + 60195, -255*a - 45165 = -258*a - 3*h. Does 175 divide a?
True
Let k = -25 + 27. Suppose 0 = -i + 5 - k. Suppose 39 = i*g - 153. Is g a multiple of 32?
True
Let p be (3 + (-36)/16)*-64. Let g = p - -52. Suppose -g*s - 5*l = -s - 177, 0 = 5*s - 2*l - 264. Does 31 divide s?
False
Let s(k) be the first derivative of k**4/4 + 8*k**3 - 55*k**2/2 - 30*k + 53. Does 3 divide s(-26)?
True
Suppose 5*z - 6*z = -4. Suppose 10 = -3*q - 2*r, z*r + 20 = -0*q + 4*q. Suppose t = -4*u + 465, q*u + 573 = 5*u + 4*t. Does 13 divide u?
True
Let u = -6194 + 8050. Is 29 a factor of u?
True
Let i(s) = s**3 - 4*s**2 + 3*s + 3. Let h be i(3). Is 6 a factor of (h - -435) + -2 - 6?
False
Let x be (-10 - 7 - -5)*15/(-6). Does 27 divide -2 - 0 - (-624 - x)?
False
Suppose 4*l - 351 = -79. Suppose -62*j - 1986 = -l*j. Does 11 divide j?
False
Let k be 12348/(-70) + (-9)/15. Let y = k - -282. Does 7 divide y?
True
Let x be (-1742)/(-6) + (-3 - -6)/(-9). Let w = -201 + x. Is 20 a factor of w?
False
Suppose -84 = g + 5*d, 4*g + 446 - 92 = -2*d. Let w = g - -183. Is 7 a factor of w?
False
Let o = 3541 - -1829. Is o a multiple of 15?
True
Let d be ((5/(-5))/1 + 1)/(-3). Let o(t) = -t + 590. Is o(d) a multiple of 67?
False
Let j be (-5)/(-45)*-3*-12. Let m(r) = 6*r**2 - 24*r + 4. Let f be m(j). Suppose 0 = -l + 3*i + 101, 0 = -0*l - 5*l + f*i + 494. Is l a multiple of 17?
False
Let y(a) = 4*a - 44. Let q be y(10). Does 8 divide 1/(-4)*q + 310?
False
Let t = -12839 - -19175. Is 96 a factor of t?
True
Let j = -73 + 65. Let m = 12 + j. Suppose 2*i = -3*l + m*i + 283, 5 = 5*i. Is 19 a factor of l?
True
Let j be (4 - ((-2)/(-4) - -2))*2. Suppose c - 5*i - 36 = 68, 334 = j*c - 4*i. Is c a multiple of 11?
False
Suppose 8*s - 237 = 5*s. Let b = 4 + s. Does 54 divide b?
False
Let f(y) = 8*y**3 + 3*y + 2 - 12*y**2 - 2*y**3 - 2*y**3. Is 25 a factor of f(5)?
False
Suppose 0 = -24*w - 6*w - 12*w + 159012. Is 5 a factor of w?
False
Let b(z) be the first derivative of 4*z**3 + 3*z**2/2 + 3*z - 71. Suppose j = -0*j + 3. Is 15 a factor of b(j)?
True
Let o(k) = k**3 - 6*k**2 + 8*k. Let t be o(4). Suppose -11 + 47 = 9*h. Suppose t = -h*x + 414 - 154. Is x a multiple of 13?
True
Suppose 34*g - 1123905 = -59*g. Does 182 divide g?
False
Suppose 0 = -r + 4*x + 11, -r - x + 3*x + 13 = 0. Let a be 12 - (0 - 0) - (r - 15). Let b = 18 + a. Is 6 a factor of b?
True
Let j(r) = -16588*r**3 - 17*r**2 - 19*r - 2. Is 44 a factor of j(-1)?
True
Let y = -3 - -8. Suppose -3*i - 32*p + 31 = -27*p, -2*p = -3*i - 4. Suppose -3*s = -i*b + 2*s + y, -s - 10 = -b. Is 5 a factor of b?
True
Let l be (50/(-15))/((-4)/522). Let c be (-2)/14 + l/105. Suppose -c*g + 7*g = 180. Is 19 a factor of g?
False
Let d(k) = -2*k - 12. Let j be d(-10). Suppose -j - 12 = -2*f. Suppose c - 101 = -2*z, 0 = -5*c + 3*c - f. Is 17 a factor of z?
False
Let z be (-7 + 750/5)*31. Suppose -63*f = 3*r - 65*f - z, 4*r = 5*f + 5906. Is r a multiple of 10?
False
Suppose 2*j = 2 + 4. Suppose 7*b - 3*b + 2*s - 288 = 0, -214 = -j*b - s. Suppose 10*k - b = 3*k. Is 10 a factor of k?
True
Suppose 92*x - 587029 = -11*x + 12225. Is 202 a factor of x?
False
Let y(q) be the second derivative of -7/12*q**4 - 11/6*q**3 + 0 + q**2 - 1/20*q**5 - 40*q. Does 19 divide y(-7)?
False
Let c(l) = 39*l**3 - 11*l**2 - 31*l + 131. Does 52 divide c(5)?
True
Let y = 68 - 22. Let o be 8*(y/8 - 0). Does 10 divide (5 - 11)/((-4)/o)?
False
Is (-32)/((-416)/65) + 2831 a multiple of 2?
True
Suppose h = -5*c + 147847, -4*h - 98503 = -5*c + 49334. Is 27 a factor of c?
False
Let m = 4846 + -1196. Is m a multiple of 10?
True
Suppose -5769*c - 3172 = -5770*c. Is 9 a factor of c?
False
Suppose 0 = -47*o + 55*o - 32. Suppose -3012 + 652 = -o*y + 4*p, -3*y + 4*p = -1766. Does 33 divide y?
True
Suppose -4*q + 16 = 2*w, q = 4*w + 28 - 15. Does 24 divide -7 - (w/2 - 1254)?
True
Suppose 446*v + 200 = 447*v. Let b = v - -217. Is 52 a factor of b?
False
Let y = 134 + -61. Suppose y*t + 1512 = 77*t. Does 7 divide t?
True
Let o be ((-10)/(-4))/((-3)/6 - -1). Suppose -o*s + 110 = -v, v = -v - s - 264. Is 44 a factor of 4 + (8/(-4) - v)?
True
Suppose -5*z - 3*n + 825 = 0, -445 = -3*z - n + 54. Is z a multiple of 24?
True
Let w be ((-395)/10)/(2/(-12)). Suppose -3*d + w = 24. Let b = d + -34. Is 37 a factor of b?
True
Let y(z) be the third derivative of z**6/15 + z**5/60 - 11*z**4/24 - z**3/6 - 235*z**2. Is 57 a factor of y(5)?
True
Suppose -5*r - 5 = 0, 64 = 4*a - 2*r - 2*r. Is -1104*(40/a)/(-8) a multiple of 16?
True
Let d(o) = 332*o**2 - 62*o**2 - 16*o - 6*o + 6*o + 39*o**2 - 17. Is d(-1) a multiple of 4?
True
Suppose -2*w = -4*x - 1600, -5*w + 48*x = 47*x - 3937. Is w a multiple of 23?
False
Let d(v) = 2*v**3 - 6*v**2 - 3*v + 11880. Does 24 divide d(0)?
True
Let x be 5 + (-55)/10 + (-14)/4. Does 69 divide (-8)/x - 12380/(-10)?
False
Let t = -72 + 107. Suppose 0 = d - 5*k + 23, 0 = -d - 3*k - 28 - t. Let m = -4 - d. Is 22 a factor of m?
True
Suppose 3*i - 4*a = 7144, 136*i - 131*i - 2*a - 11874 = 0. Is i a multiple of 4?
True
Suppose -7*q + 26 = -30. Suppose 838 = -q*o + 3006. Is o a multiple of 14?
False
Is 8 - -9 - 225794/(-29) a multiple of 17?
True
Let c(q) = 10*q**3 - 10*q**2 + 6*q + 18. Is 69 a factor of c(7)?
False
Let q(p) = -p**2 + 40*p - 22. Suppose -9*y + 183 + 24 = 0. Is 41 a factor of q(y)?
True
Let m(d) = 7*d**2 - 3*d - 2. Let f be 21/(-3) + (-1)/(-1)*-2. Let o be ((-1)/(-3))/(f/(-81)). Is 13 a factor of m(o)?
True
Let p = 109 - 107. Suppose -p*m = -0*m - 462. Is 77 a factor of m?
True
Suppose 0 = -2*m + 3 + 19. Suppose -m*a - 251 = -4431. Is a a multiple of 35?
False
Suppose -7*k + 2948 = 2*p - 11*k, -4*k - 4412 = -3*p. Suppose 356 = 5*x - p. Is x a multiple of 14?
True
Let d be (-14)/(-4) - ((-24)/(-16) + -1). Let a(x) = -x**2 + 10*x - 7. Let r be a(9). Suppose -d*j + 63 = -0*z + 3*z, 0 = -r*j. Is z a multiple of 2?
False
Let b = 17806 + -10130. Is b a multiple of 38?
True
Suppose -7 = -3*n - 1. Suppose -2*d = w + 3*d - 124, -5*w + n*d = -539. Does 6 divide w?
False
Let n(h) = -2*h**3 + 6 + 2*h**3 + 40*h + 28*h**2 + 2*h**3 - 4*h**3 + h**3. Is n(29) a multiple of 25?
True
Suppose m - x = -194 + 1093, 0 = 5*m + 3*x - 4487. Does 3 divide m?
False
Let x(h) = h - 1. Let p be x(4). Let v(w) = 8*w**3 - 6*w**3 + 1 + 3*w**2 + 5*w**2 - 3*w**3 - 3*w. Is v(p) a multiple of 13?
False
Suppose r + 2*u - 14980 = 0, 257*u = -2*r + 261*u + 29936. Is r a multiple of 48?
False
Let a(h) = -h**3 - h**2 - h + 8. Let n be a(4). Let b = -328 - n. Is 1/(3*(-3)/b) a multiple of 7?
True
Let w(c) = 25*c - 3. Let v(l) = 3*l + 4. Let r be v(-2). Let h(j) = -249*j + 30. Let g(z) = r*h(z) - 21*w(z). Is g(-5) a multiple of 24?
False
Let c(t) = 2*t**2 + 36*t - 392. Is 3 a factor of c(17)?
True
Let d = 26 + -24. Suppose -5 + d = -3*a - i, 3*a - 21 = 5*i. Does 34 divide 3344/32 + (-3)/a?
False
Suppose -13*u + 22 + 43 = 0. Suppose -3*h + u*x + 115 = -615, h = x + 242. Is h a multiple of 17?
False
Let a(p) = 3*p**2 - 81*p + 114. Is a(-23) a multiple of 99?
True
Suppose 0 = -13*j + 124 - 72. Does 3 divide ((-721)/(-21) - j/(-6)) + -2?
True
Suppose g + 4*h = 13523, 139*h = 3*g + 141*h - 40579. Does 81 divide g?
True
Let r(x) = -x**3 - 20*x**2 + 93*x + 20. Let h be r(-24). Suppose 3*j - 455 = b + h, 3*j = 3*b + 537. Is j a multiple of 92?
True
Let b = 7290 + -7101. Is 2 a factor of b?
False
Let v(a) = -28*a + 7. Let k be v(4). Let x(o) = -o**3 + 13*o**2 + 5*o - 18. Let d be x(12). Let i = d + k. Does 9 divide i?
True
Does 44 divide (17424/((-96)/(-8)))/1?
True
Let x = -440 + 313. Is 62 a factor of 8 - 2 - x - -1?
False
Let i(s) = 4*s - 3*s + s**3 - 2*s - 17*s**2 + 10*s - 24. Let z be i(17). Suppose 5*g - 314 = -y + 337, -g + y = -z. Does 13 divide g?
True
Let z be 1 + (-106)/(-10) + (-18)/(-45). Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
m?
-16, 0, 1
Let l be 12*8940/1200 - 89. Factor l*i**2 + 4000 - 80*i.
2*(i - 100)**2/5
Let l(t) = -t**3 - 13*t + 1. Let v(m) = m**4 + 9*m**3 - 12*m**2 - 31*m + 72. Let i(y) = 6*l(y) + 2*v(y). Factor i(d).
2*(d - 3)*(d - 1)*(d + 5)**2
Let r = -1020334 - -3061004/3. Factor 2*n + 2/3 + r*n**3 + 2*n**2.
2*(n + 1)**3/3
Let s = -94 + 104. Suppose 5*j + 17 = -q, -5*q + s*j - 6*j + 31 = 0. Factor 8*g**2 - 8*g**q - 12*g**2 - 6*g**2 - 120 + 100*g + 3*g**3.
-5*(g - 2)**2*(g + 6)
Let a(s) = -40*s**3 - 8*s**2 - 18*s - 11. Let k be a(-1). Let g(x) be the third derivative of 0 + 1/150*x**5 + 1/60*x**4 + k*x**2 + 0*x**3 + 0*x. Factor g(r).
2*r*(r + 1)/5
Let i = 2486879/1183 - 14717/7. Let r = 1/676 - i. Determine m, given that 1/8*m + 0*m**2 + 1/8*m**5 - r*m**3 + 0*m**4 + 0 = 0.
-1, 0, 1
Let q(t) be the first derivative of t**5/40 + 11*t**4/32 + 3*t**3/4 - 864. Factor q(z).
z**2*(z + 2)*(z + 9)/8
Let s(x) = -7*x**5 - 9*x**4 - 59*x**3 - 9*x**2 - 6. Let l(p) = -p**5 - 6*p**3 + p**2 - 1. Let z(h) = -6*l(h) + s(h). Let z(d) = 0. Calculate d.
-5, -3, -1, 0
Let g(m) = 13*m - 10 - 6 + 7*m**2 - 6*m**2. Let p be g(-15). Solve -9*i + p*i + 11*i**2 - 5*i**3 - 10 - i**2 = 0.
-1, 1, 2
Suppose -589 = 12*j - 613. Let h(b) be the second derivative of 0 - 17*b - 8/9*b**3 + 1/15*b**5 + 0*b**j - 8/45*b**6 + 16/9*b**4. Determine v so that h(v) = 0.
-2, 0, 1/4, 2
Let s(n) = -5*n**2 + 32*n. Let r(h) = 17*h**2 - 95*h. Let o(k) = 4*r(k) + 14*s(k). Find i such that o(i) = 0.
0, 34
Let r(b) = b**4 + b**3 - b**2 + 3*b - 1. Let x(c) = -121939*c**4 + 37851*c**3 - 3921*c**2 + 153*c - 6. Let w(y) = -6*r(y) + x(y). Let w(g) = 0. Calculate g.
0, 3/29
Solve -2/9*u**2 - 4*u - 64/9 = 0.
-16, -2
Let d(h) be the first derivative of 2/25*h**5 - 4/5*h**4 + 32/5*h + 16/5*h**3 + 71 - 32/5*h**2. Factor d(x).
2*(x - 2)**4/5
Let p(z) = z**2 - 5*z + 9. Let k(v) = v**2 - v. Let d(m) = -2*k(m) + p(m). Let f be d(-4). Let 5*i**3 + 0*i**2 + 5*i**4 - 4*i - f*i**2 - i = 0. Calculate i.
-1, 0, 1
Let z(y) be the third derivative of y**5/15 - 91*y**4/24 - 95*y**3/6 + 5*y**2 + 163. What is a in z(a) = 0?
-1, 95/4
Determine v, given that -3*v**3 + 3/5*v**2 - 3/5*v**4 - 36/5 + 51/5*v = 0.
-4, -3, 1
Let a(u) = 2*u**3 - 4*u**2 - 6*u + 23. Let k be a(3). Let -k*n + 2*n**2 + 2908 + 2092 - 177*n = 0. What is n?
50
Suppose 1276/3*j**2 - 3332/3 - 2422/3*j + 8/3*j**4 + 376/3*j**3 - 2/3*j**5 = 0. Calculate j.
-7, -1, 2, 17
Suppose -4*u - 20 = -q, -100549 = -2*q + 2*u - 100533. What is f in -54/17 + 162/17*f - 22/17*f**q - 180/17*f**2 + 92/17*f**3 + 2/17*f**5 = 0?
1, 3
Let a = 6128/53 - 11991/106. Determine h, given that 320*h - a*h**2 - 10240 = 0.
64
Let r(l) = 14*l - 24. Let p be r(2). Solve -69*z**2 - 144*z**3 + p*z**3 - 5*z**5 - 50*z**4 - 51*z**2 = 0.
-6, -2, 0
Suppose 60*n - 57*n + 3*d + 123 = 0, 3*d - 189 = 5*n. Let p be n/36 + 8/6. Factor -p*f**2 - 1/2*f + 0.
-f*(f + 2)/4
Suppose 184/5 + 1/5*k**2 - 94/5*k = 0. Calculate k.
2, 92
Let k(q) = -172*q**3 - 431*q**2 - 225*q - 21. Let x(w) = 35*w**3 + 86*w**2 + 45*w + 4. Let m(g) = 2*k(g) + 11*x(g). Factor m(t).
(t + 1)**2*(41*t + 2)
Suppose 77 + 173 = 3*q + 2*u, u + 395 = 5*q. Let f be 3*(-4)/q*-5. Factor 1/4*k**2 + f*k + 0.
k*(k + 3)/4
Determine h, given that 28/17 + 58/17*h + 32/17*h**2 + 2/17*h**3 = 0.
-14, -1
Find n such that 0 - 178/13*n**3 - 688/13*n**2 - 680/13*n - 2/13*n**4 = 0.
-85, -2, 0
Suppose -5*k = a - 10 - 1, -4*a = -k + 19. Suppose o + k*o = 8. Suppose 48/11 + 6/11*c**3 + 36/11*c**o + 72/11*c = 0. Calculate c.
-2
Let g(z) be the first derivative of -5*z**5 - 35*z**4/2 - 35*z**3/3 + 5*z**2 - 896. Let g(l) = 0. Calculate l.
-2, -1, 0, 1/5
Let x(a) = 7040*a - 63357. Let c be x(9). Determine t so that 2/7*t**4 - 32/7*t + 0*t**2 + 8/7*t**c - 32/7 = 0.
-2, 2
Suppose 2*m - 4*r = m + 14, -2*m + 20 = -4*r. Determine y, given that 22*y**4 + 12*y**3 - m*y - 6*y - 18*y**2 + 15 - 19*y**4 = 0.
-5, -1, 1
Let l(t) be the second derivative of t**5/140 + 11*t**4/21 - 1163*t**3/42 + 153*t**2 + 1736*t - 3. What is c in l(c) = 0?
-63, 2, 17
Suppose -1050*v**2 - 2075*v**3 - 97 + 561 + 2075*v - 270 + 10*v**4 + 538 + 308 = 0. Calculate v.
-1, -1/2, 1, 208
Let i = -215 + 217. Factor -3*v + 4225 + 8*v - v**i - 4229.
-(v - 4)*(v - 1)
Let z(x) be the first derivative of -2*x**5/5 - 11*x**4/6 - 2*x**3/3 + 11*x**2/3 + 4*x + 842. Let z(r) = 0. What is r?
-3, -1, -2/3, 1
Let f = -19930/11 - -159451/88. Factor 11/8*j**3 + 0*j + f*j**4 + 0 + 5/4*j**2.
j**2*(j + 1)*(j + 10)/8
Let f(y) be the third derivative of -y**6/120 + 7*y**5/12 - 119*y**4/24 - 155*y**3/6 + 625*y**2 + 2*y - 1. Factor f(d).
-(d - 31)*(d - 5)*(d + 1)
Let c(g) be the third derivative of -242*g**7/105 + 77*g**6/6 - 67*g**5/15 + g**4/2 - 1883*g**2. What is f in c(f) = 0?
0, 1/11, 3
Suppose 4*k = -4*q + 24, -4*q - q + 24 = 3*k. Factor 0*m**3 + 89*m + q*m**2 + m**3 - 95*m + 2*m**3.
3*m*(m - 1)*(m + 2)
Let b = 804 - 837. Let n be (-11)/b*2*2. Suppose 0*c - 8/9*c**2 + 0 + 0*c**4 - n*c**3 + 4/9*c**5 = 0. What is c?
-1, 0, 2
Let p(w) = -15*w**2 - 53*w + 37. Let r(x) = 120*x**2 + 425*x - 295. Suppose 10*j - 34 = -4. Let q(f) = j*r(f) + 25*p(f). Find c such that q(c) = 0.
-4, 2/3
Let b be (-504)/21*104/(-832). Factor 2/21*z**2 + 2/21*z + 2/7*z**4 + 0 - 10/21*z**b.
2*z*(z - 1)**2*(3*z + 1)/21
Let p = -108 - -542/5. Let k(r) = 3704*r + 51859. Let m be k(-14). Solve 0*x**m + 0*x + 0 - p*x**4 + 2/5*x**2 = 0.
-1, 0, 1
Determine m so that -8*m**3 - 35*m**2 + 97452 - 103852 - 6674*m - 289*m**2 + 4*m**3 - 46*m = 0.
-40, -1
Suppose -194 = -5*k - 0*k + 4*w, k = 3*w + 30. Find m, given that k*m**3 - 48*m**2 - 3*m**5 + 13*m**5 - 7*m**5 - 6 + 27*m - 18*m**4 = 0.
1, 2
Let c(a) be the third derivative of 0*a - 51*a**2 + 27/20*a**6 - 9/35*a**7 - 3*a**5 - 8/3*a**3 + 0 + 11/3*a**4. Factor c(v).
-2*(v - 1)*(3*v - 2)**3
Factor 22/13*c**2 - 20/13*c + 0 - 2/13*c**3.
-2*c*(c - 10)*(c - 1)/13
Let w(f) be the first derivative of 0*f - 62 + 4/5*f**2 - 8/15*f**3 + 2/25*f**5 - 1/10*f**4. Factor w(m).
2*m*(m - 2)*(m - 1)*(m + 2)/5
Let p(v) be the second derivative of v**5/25 - 59*v**4/15 + 176*v**3/5 + 648*v**2/5 - 12547*v. Suppose p(n) = 0. What is n?
-1, 6, 54
Let a be 1*(2 - (-8953)/(-35)). Let m = -253 - a. What is s in 0*s + 0 + 0*s**3 - 4/5*s**5 + m*s**4 + 0*s**2 = 0?
0, 1
Let z(g) be the first derivative of 5*g**4/8 - 255*g**3/2 - 4725*g**2/4 - 7155*g/2 - 191. Find t such that z(t) = 0.
-3, 159
Factor 1/2*l**2 - 26 - 51/2*l.
(l - 52)*(l + 1)/2
Suppose -5*c = 5*g, -5*c + 5*g + 1 = -29. Suppose 5*l = -t, 3*l + c*t = t. Factor 1/9*d**5 - 1/9*d**3 - 2/9*d**4 + l + 2/9*d**2 + 0*d.
d**2*(d - 2)*(d - 1)*(d + 1)/9
Solve 64*z + 1970*z**2 - 2036*z**2 + 38*z**3 - 36*z**3 = 0 for z.
0, 1, 32
Let l be (-36)/6*(-45)/27. Let t be l*7*(-8)/(-448). Factor 5/4*u**4 - 5/4*u**5 + 0 + t*u**3 - 5/4*u**2 + 0*u.
-5*u**2*(u - 1)**2*(u + 1)/4
Suppose 0 = x - 2*a - 25, 22*x - 58 = 20*x + 2*a. Factor x + 700*t + 66 - 500*t**2 - 185 - 159.
-5*(10*t - 7)**2
Factor -5*r**2 + 421 + 1961 + 91 - 693 + 880*r.
-5*(r - 178)*(r + 2)
Let k(p) be the third derivative of 0 - 1/14*p**7 - 1/24*p**6 + 1/4*p**5 + 5/24*p**4 + 0*p + 54*p**2 + 0*p**3. Solve k(a) = 0.
-1, -1/3, 0, 1
Let f(v) be the first derivative of 14*v + 4 - 1/60*v**4 + 1/100*v**5 + 0*v**3 + 0*v**2. Let g(u) be the first derivative of f(u). What is j in g(j) = 0?
0, 1
Factor -17*t + 99 - 15 - 16*t**2 + 15*t**2.
-(t - 4)*(t + 21)
Let c be ((-46)/30 - 2/(-6))/(99066/(-90060)). Determine w so that -c + 2/11*w**2 - 2/11*w = 0.
-2, 3
Let a(r) = 15*r**4 + 29*r**3 - 330*r**2 + 667*r - 367. Let n(p) = -5*p**4 - 9*p**3 + 110*p**2 - 222*p + 122. Let i(c) = 2*a(c) + 7*n(c). Factor i(d).
-5*(d - 2)**2*(d - 1)*(d + 6)
Let 84*g**2 - 87*g**3 + 267*g - 803*g + 3*g**4 + 263*g + 273*g = 0. What is g?
0, 1, 28
Let z(y) be the second derivative of y**5/90 + 5*y**4/36 + 2*y**3/3 + 32*y**2 + 26*y. Let v(c) be the first derivative of z(c). Factor v(o).
2*(o + 2)*(o + 3)/3
Suppose 4*w + w - 5519 = n, -4*w = -2*n - 4420. Let c = -1101 + w. Find k such that 2/13*k**c - 4/13 + 2/13*k = 0.
-2, 1
Let c(k) be the first derivative of -5*k**4/4 - 9575*k**3 - 55008375*k**2/2 - 35113679375*k + 8767. Factor c(p).
-5*(p + 1915)**3
Let p(m) be the second derivative of 1/54*m**4 - 3*m - 2/9*m**3 - 9 + m**2. Factor p(j).
2*(j - 3)**2/9
Suppose -8*h + 6*h = 4. Let o b
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{
"pile_set_name": "DM Mathematics"
}
|
comes next: -2820, -2729, -2484, -2007, -1220, -45, 1596?
3781
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-692508
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-174326
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168797
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-114512
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-130
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-32337
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-10857
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4189
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137
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-87
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42563
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4626
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-13641
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-11828
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977
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94614
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8991
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63582403
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13490598
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-316431
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-68266
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42688
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-41436
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310761
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704
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7918013
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-23916
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-6362
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-120725
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2162
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74
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39996
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-499
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-351727
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1163
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21432
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-599
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147946
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107896
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16998
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2921
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52402
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40234
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2534
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-6961
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-839487
What is the next term in 114082, 228175, 342268, 456361, 570454?
684547
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-987
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194
What is the next term in 196, 758, 1694, 3004, 4688, 6746?
9178
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-1700
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-3578
What is next in -8089, -16180, -24271, -32362?
-40453
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1729
What is next in 169, 669, 1509, 2689, 4209, 6069?
8269
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-1929
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-70554
What is next in -292, -696, -1266, -2092, -3264, -4872, -7006, -9756?
-13212
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-413886
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4687
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-35614
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-478
What is the next term in 749625, 749626, 749625, 749622?
749617
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10444
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1573
What comes next: -863, -827, -749, -617, -419, -143?
223
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-128184
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56573
What is next in 1236, 1376, 1524, 1686, 1868, 2076?
2316
What is next in 21, 41, 63, 81, 89, 81, 51, -7?
-99
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117601
What is the next term in -2731, -2826, -2921?
-3016
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-2472
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17656
What is next in 5, -147, -563, -1375, -2715, -4715?
-7507
What is the next term in 2053, 3996, 5805, 7414, 8757, 9768, 10381?
10530
What is next in 527, 543, 597, 707, 891, 1167?
1553
What is the next term in 663, 2558, 5715, 10134?
15815
What is the next term in -13019, -104393, -352427, -835451, -1631795, -2819789, -4477763, -6684047?
-9516971
What is next in 2862, 3888, 4902, 5898, 6870?
7812
What is the next term in -3321, -13281, -29881, -53121, -83001, -119521, -162681?
-212481
What is next in 884, 1744, 2604, 3464?
4324
What comes next: 908, 929, 948, 965, 980, 993, 1004?
1013
What comes next: -104, -879, -2990, -7103, -13884, -23999, -38114?
-56895
What is next in -4758, -4722, -4690, -4668, -4662, -4678, -4722?
-4800
What comes next: -820, -1614, -2388, -3148, -3900, -4650?
-5404
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-9794
What is the next term in 243, 284, 345, 432, 551, 708?
909
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-102
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73629
What is the next term in -17956, -17957, -17958, -17959, -17960?
-17961
What is the next term in -11320, -11725, -12130, -12535?
-12940
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23602
What is next in -5998, -23983, -53952, -95905, -149842, -215763?
-293668
What is the next term in -2458, -4860, -7262, -9664?
-12066
What is the next term in 752, 696, 642, 590, 540, 492, 446?
402
What is the next term in -892108, -892109, -892110, -892111, -892112, -892113?
-892114
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-5626
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4071
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2848678
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60390
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-394
What is the next term in 7160, 7159, 7158, 7157, 7156?
7155
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6893
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11460
What is next in 696, 1423, 2188, 2997, 3856, 4771, 5748?
6793
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12723
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6213754
What is next in -54551, -218177, -490879, -872651, -1363487, -1963381, -2672327, -3490319?
-4417351
What comes next: -6124, -6144, -6164, -6184?
-6204
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-6640
What is the next term in -28522, -57292, -86062?
-114832
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10384
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626
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25518
What is next in 47, 171, 409, 761, 1227, 1807?
2501
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51602
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39
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10550
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-96
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3289617
What is next in -85, -72, -57, -46, -45, -60, -97, -162?
-261
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-38
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-46357
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-636
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2143
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1443
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156
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-22883
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-141318
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-11361
What is the next term in -17294, -34569, -51844, -69119?
-86394
What is next in 294, 597, 904, 1221, 1554?
1909
What is nex
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{
"pile_set_name": "DM Mathematics"
}
|
et v = -6 + 2. Let k = v - -4. Suppose -2*q + 4*s + 8 = k, q + 5*s + 12 = 4*q. Solve q*b + b = 15 for b.
3
Let w(m) = -5*m**2 + 136*m - 26. Let p be w(27). Solve 19 + p = -5*l for l.
-4
Let h be (-8)/10*-7*80/112. Suppose -5*s + 6 = -3*s. Solve h*o = s*o + 2 for o.
2
Let q(w) = -w + 1. Let i be q(-8). Suppose 4*h - i*h = -75. Solve -3*f = -6*f - h for f.
-5
Suppose -7*o = -8*o + 7. Suppose -o*p + 3*p = -12. Solve -2*h = -3*h + p for h.
3
Suppose b = 2*p - p + 7, 0 = 4*b - 3*p - 33. Solve -b = -4*h - 8 for h.
1
Let q be 23/46 + (-6)/(-4). Let c be q + -1 - 1 - -4. Let u(i) = 3*i**2 - i - 1. Let z be u(2). Solve 0 = m - c*m + z for m.
3
Let z(r) = -r**3 + 15*r**2 + 5*r - 7. Let b be z(15). Let c be (-5 - b/(-12))*(5 + 1). Solve 2*s = -c - 4 for s.
-4
Suppose -5*y + 8*y - 26 = 5*h, -2*y = 3*h + 8. Solve y*l - 109 = -109 for l.
0
Let p = -56 - -100. Let x be (p/(-33))/((-2)/18). Let a be 4 - (2 - 0/2). Solve x = -5*w + a for w.
-2
Suppose 4*p - 31 = -5*d - 6, -p + 9 = 4*d. Solve 11 = 8*b - p for b.
2
Let v(x) = -x**3 - 2*x**2 + 1. Let n be v(-2). Suppose -n = -2*b - 1. Solve b = s + 4 - 1 for s.
-3
Suppose -2*a = 13*a - 60. Solve a = 18*s - 16*s for s.
2
Let w be (-3)/(-2)*(-22)/(-11). Suppose -2*o - 107 = -5*p, 3*p + o + 88 = 7*p. Let l = p + -13. Solve m = w*m + l for m.
-5
Suppose -2*o - o = 5*i - 7, -5*o - 13 = -4*i. Solve i = 8*q - 6 for q.
1
Let k(z) = z**3 - 14*z**2 - z + 13. Let y be k(14). Let g be ((-2)/1)/(-2 - y). Suppose g*r - 5 = 3*b + 5, 15 = 3*r + b. Solve 0 = 2*a - r*a - 3 for a.
-1
Let b(y) = 2*y + 2. Let z(h) = 2*h - 21. Let i be z(15). Let f = i - 9. Let o be b(f). Solve 0*u = o*u + 2 for u.
-1
Let v = 222 + -219. Solve v*a + 7 + 8 = 0 for a.
-5
Let q = 4353 - 4351. Suppose -2*k = 2*y + 10 + 4, 0 = 2*y - k - 1. Let v(d) = -d**2 - 3*d - 2. Let x be v(y). Solve -q*t = -x*t for t.
0
Let i be (-2 + 19/2)/((-3)/6). Let h be 3*-2*5/i. Solve -y + h = y for y.
1
Suppose -72 = -11*g + 6*g + 3*s, -4*g - s + 44 = 0. Solve 0 = -4*w - g + 32 for w.
5
Let g(h) be the first derivative of h**2/2 + 14*h - 24. Let l be g(-4). Solve 4*a - l = -a for a.
2
Let x = -20 + 23. Suppose -l = 3*l - x*h - 9, -h = 2*l + 3. Solve 4*q + q = l for q.
0
Suppose 9 = -4*r + 21. Let q = r - 1. Let m be 385/133 - 6/(-57). Solve -1 + m = -q*a for a.
-1
Let w be (-2 - -1)/(9/(-27)). Suppose 0 = r - t + w*t + 7, -5*t - 22 = r. Solve -2*c = c - r for c.
1
Suppose -603*p + 607*p - 48 = 0. Solve 5*r + p = -3 for r.
-3
Let l be (-70)/25*(3 + 3 + -1). Let b be 2*(42/4)/1. Let c = l + b. Solve 0 = 2*x - c*x for x.
0
Let g be (1 + 1)*(-3)/6. Let z(k) = -3*k**3 - k**2 - k. Let d be z(g). Solve -d*o = -8*o - 20 for o.
-4
Let g be (5 - 3)*(1 + 3). Suppose 12*q + 16 = g*q. Let n(p) = p + 6. Let l be n(q). Solve 4 = l*i - 2 for i.
3
Let k = 1 - -1. Suppose 3*w - w = k. Suppose -7*t = -5*t - 10. Solve t*g + w = -4 for g.
-1
Let m be 1/(-5) + (-280)/(-75)*3. Solve m + 13 = -8*n for n.
-3
Let c be (-8 + 36)*(-2)/12*-3. Let k be (-16)/(-80) - c/(-5). Solve -k = 5*j + 22 for j.
-5
Let r(f) = 2*f + 16. Let h be r(-11). Let i = -7 + 0. Let t = h - i. Solve -n = t - 0 for n.
-1
Suppose 4*x - x = 4*h + 20, 2*h - 2 = 0. Suppose -4*b = -x*b - 48. Let m = b - -14. Solve -w = 3 + m for w.
-5
Suppose 8*g - 2*c = 4*g + 4, 4*g + 4*c = -8. Solve -5*x - 3*x + 24 = g for x.
3
Let h = -6 + -29. Let q be (-220)/h + (-6)/21. Solve -q = u - 4*u for u.
2
Let o = 143 + -138. Solve 10 - o = 5*x for x.
1
Let c be (-1)/7 + 150/70. Let j be 2/(-4) + (3 - (-13)/c). Solve -g = 2*g - j for g.
3
Suppose 0 = -k + 3*k - g - 4, 2*g = 3*k - 5. Suppose 0 = -6*z + 22 + 2. Suppose 3*q + 3 = -z*w + 19, -20 = -5*w - q. Solve -k = w*u + 1 for u.
-1
Suppose 0*m = -5*m - 750. Let f be m/20*8/(-3). Suppose a = 3*n + 4*a + 3, -4*n + 2*a + f = 0. Solve -6 = -n*v + 6 for v.
4
Let n(g) = g + 12. Suppose 0 = 3*y - 35 + 5. Let h be n(y). Solve 4*i - h + 6 = 0 for i.
4
Suppose -y - 2*y + 12 = 0, -3*h - 2*y - 7 = 0. Let i be (h/2)/(3/(-6)). Suppose 5*c = i*o - 30, 4*o - o - 5*c = 12. Solve -5*r + o + 6 = 0 for r.
3
Suppose -5*j + 2*r = 0, 0 = 3*j - 0*r + 4*r. Solve j*a + a = 1 for a.
1
Let o = -211 + 265. Solve o = -5*x - 13*x for x.
-3
Suppose f + 10 - 7 = 0. Let j(z) = z**3 + 4*z**2 - 5*z - 4. Let r be j(f). Solve u = 6*u - r for u.
4
Suppose -13 = -11*s + 20. Solve 9*c - 8*c = s for c.
3
Suppose -p - 141 = 45. Let d be p/(-30) + (-2 - 9/(-5)). Solve 3*h - 5*h + d = 0 for h.
3
Let i(l) be the first derivative of -l**3/3 - 2*l**2 + 2. Let s be i(-3). Let g = 87 - 87. Solve z - s*z = g for z.
0
Let q(f) = -f**2 - 24*f + 42. Let u be q(0). Solve 35*o - u*o = -14 for o.
2
Let n = -19 + 28. Let o(b) = 3*b + 14. Let l(y) = 2*y + 7. Let p(s) = 5*l(s) - 3*o(s). Let c be p(n). Solve 0 = -0*h - h + c for h.
2
Let r(a) = -a**2 - 5*a - 4. Suppose -4*w + z = 7 + 1, w - 17 = 5*z. Let l be r(w). Suppose -3*q + l = -4*s, -3*q + 4 = -0*s - 2*s. Solve -q*y + 3 = y for y.
1
Let b(t) = -5*t + 2. Suppose 2*q - 11 + 9 = 0. Let u be b(q). Let i be 0*(1 + -3 - u). Solve i*g = g + 2 for g.
-2
Let l = 363 - 347. Solve 11*v - l = 7*v for v.
4
Let w be 8 + -5 + 12/(-4). Suppose w = d + d - 4. Solve d*t - 2 = -4 for t.
-1
Suppose 3*d + 412 = k + 1067, k = 5*d - 1091. Solve d = -8*h + 234 for h.
2
Let w(j) = 4*j + 3. Let g(c) = -c**3 - 7*c**2 + 10*c + 17. Let n be g(-8). Let d be w(n). Solve 1 = 2*y - d for y.
4
Let d(o) = -o**2 + 2*o + 2. Let a be d(0). Solve 8*q + a = 7*q for q.
-2
Let q(r) = -3*r**3 + 8*r - 6. Let l be q(4). Let m = -116 - l. Suppose 2*p = 7*p + 5*s - m, 8 = 4*p - 4*s. Solve -2*w = w + p for w.
-2
Suppose -304*r - 192 = -336*r. Solve -r*z + 82 = 64 for z.
3
Let z be 68143/1079 + -1 + 11/13. Solve 0 = 17*k + 4*k - z for k.
3
Let q(l) = l**3 + 5*l**2 + 2*l + 10. Let n be q(-5). Solve -44*j + 49*j + 20 = n for j.
-4
Let t(h) = -2*h**3 + 35*h**2 - 15*h - 20. Let g be t(17). Solve 4*o - 10 = g*o for o.
-1
Let o(d) = -d + 20. Let b be o(3). Solve -13*a + b*a = 0 for a.
0
Let x(b) = b + 5 + 2 + 8 - 2*b. Let j be x(0). Solve -4*o + j = -o for o.
5
Let o = -3 + 10. Suppose -14*s + 21 = -o*s. Let u(p) = p + 8. Let c be u(-4). Solve 2*w - c = s*w for w.
-4
Let s = -677 + 683. Solve 16*o - 10*o = s for o.
1
Suppose -2*m - 3*w = -5 - 43, -5*w - 53 = -3*m. Let x be (m/15 - 1) + (-66)/(-10). Solve -4 + x = -3*a for a.
-1
Let l = 393 + -337. Solve 61*s - 15 = l*s for s.
3
Let i(v) = 3*v - 38. Let y(a) = -a + 1. Let h(s) = i(s) - 2*y(s). Let c be h(8). Solve 0 = 2*p - c*p for p.
0
Suppose -4*t = -3*w - 17, -5*t = -10*t - 5*w + 65. Solve 11 = -3*c + t for c.
-1
Suppose 3*l - 12 = 108. Let a = 3 + 0. Suppose 8*f - l = a*f. Solve w - 3*w = -f for w.
4
Let i be 0/(-9) + 1*7. Suppose 2*c + 40 = i*c. Suppose 0 = c*b - 3*b - 20. Solve -a = b*a for a.
0
Let j = 2583 - 2581. Solve -2*g = j*g - 16 for g.
4
Suppose 0 = -3*c + 5*c - 6. Suppose x - c - 11 = 0. Suppose 0 = -2*u + 4*h - 12, 0 = -0*u + u - 4*h + x. Solve -l = -2*l + u for l.
2
Suppose -4*m = -19 + 103. Let i be -5*(1 + m/15). Solve -9 = i*o + o for o.
-3
Suppose 0 = -15*z + 10*z - 10. Let w be (-3)/z*-2 + 8 + 7. Solve -5*m = -w + 2 for m.
2
Suppose 8*l = -4 + 60. Solve 0 = -5*b + l*b - 6 for b.
3
Let f be (1 + -1)*(-2)/4. Suppose f*d = 2*d - 8. Let z(h) = -h + 7. Let t be z(d). Solve -o - t*o = 4 for o.
-1
Suppose 0 = 4*a + 12, 6*a = -4*m + 2*a - 4. Suppose 2 = 34*x - 32. Solve 3*f = -x - m for f.
-1
Let l(c) = 2*c + 20. Let o = 11 + -20. Let d be l(o). Suppose -d*p = -3*t - t - 20, 2*p + 5*t + 16 = 0. Solve -p*i - 4 = -0*i for i.
-2
Suppose -4*u + 552 = 2*x, -2*u + 3*u = 2*x - 552. Let m be x/34 + 2/(-17). Solve 2*q = 4*q - m for q.
4
Suppose 0 = -506*p + 497*p + 135. Solve -58*m - p = -61*m for m.
5
Let p(t) = -t + 5. Let o(y) = y - 6. Let a(n) = 6*o(n) + 7*p(n). Let s be a(-3). Suppose -11 = -s*i - 5. Solve i*l + 6 = -0 for l.
-2
Suppose -9*s + 11 = -205. Solve s*i - 8 = 20*i for i.
2
Suppose 131*d = 115*d + 432. Solve 5*n + 27 = d for n.
0
Let h be (-2)/1*(0 + -1). Let l be ((-24)/(-16))/((-140)/(-16) - 8). Solve -h*j - l*j = 16 for j.
-4
Let q = -19 + 9. Let r be q*(-2)/8 - 15/(-10). Solve r*c = -0*c - 16 for c.
-4
Let v = -15 - -18. Suppose -v*k - 45 = -8*k. Solve -p - 2*p = k for p.
-3
Suppose -6*f = -s - 2*f - 15, s - 5*f = -20. Solve -p + s*p = 0 for p.
0
Suppose 0*c + 5*c = 75. Let n(g) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
ve 2*l - 20 = -2*f + 4*l, l = 21*f + 5*f - 135 for f.
5
Solve 210*w + 14 = 216*w - 2*r, 4 = -5*w - 14*r for w.
2
Solve -3*w + 27 = -2*q, 11 + 4 = -2*q - 0*w + 4*w - 7 for q.
-21
Solve 0 = s + w - 50, 6*s + 135*w + 95 = -24*s + 134*w for s.
-5
Solve -89 = -4*j - q, 44*j + 4*q = 49*j - 108 + 23 for j.
21
Solve -92*r = 97*r - 191*r + 8*v - 188, 34 = 5*r + v for r.
2
Solve -162*q - 159*q = 5*y - 317*q + 19, -3*q + 0*q + 856 = -124*y - 6*q for y.
-7
Solve k + 57 = -38*u + 17*u + 17*u, -3*k = 784*u + 10207 for k.
-5
Solve k - 285 = -12*f, -45*f = -4*k - 49*f + 126 - 42 for k.
-3
Solve -6*n + 9*n = 30, 0 = 3*f - 18*n + 183 for f.
-1
Solve -4*o - 37*z + 99 = 0, 6 = 139214*o - 139215*o + z for o.
-3
Solve -3*k - 1779*y + 1775*y = -22, 2 = -k + 8*y for k.
6
Solve 0 = -0*y + y - 4*w + 294, 0 = 305*y - 310*y + 3*w - 229 for y.
-2
Solve -7*a + 78 = -2*t, 0 = 1049*t - 2094*t + 1042*t + 5*a - 62 for t.
-4
Solve 0 = 5*o + 17*k + 23*k + 15, 2*o - 4*k + 0*k = -5 - 1 for o.
-3
Solve 3*b + 2*f - 1 = 0, 17*b + 8*f - 6*f = 7 + 36 for b.
3
Solve -1 = -3*v + c, -2311*c + 12 = -0*v + v - 2313*c for v.
-2
Solve 260482 = 4*x + 3*k + 260497, 0*k - 3*k + 39 = -5*x for x.
-6
Solve 190*t + 6*g - 170 = 186*t, -2*g + 70 = 4*t for t.
5
Solve q + 3*o + 22 = 0, -5*q - 2*o - 85 = -6*o + 63 for q.
-28
Solve 2*a + 13*s - 9*s - 21 = 5*s, -32 = 5*a + 4*s for a.
4
Solve -o - 11976*t + 36 = -11978*t - 43, -5*t = -4*o + 328 for o.
87
Solve -5*i - 7*i + 16*i - 44 = f, 1760 = -44*f for i.
1
Solve -71 = 2*c + 3*l - 69 + 145, -2*c + 233 + 12 = -5*l for c.
0
Solve 0 = -3*n + 11*n - 5*f + 5, -5*f = -19 + 2 - 28 for n.
5
Solve i - 2*s = -4 - 1, i + 28*s = 33 - 8 for i.
-3
Solve 202*b - 394*b - 20*f = -188*b + 76, 9 = -3*f for b.
-4
Solve y + 5*v + 19653 = 19700, -129 = -3*y - 3*v for y.
42
Solve -2*j + 7*c - 10 = 0, -239060*j + 4*c - 18 = -239065*j for j.
2
Solve -10*s - 110 = 5*y, 4*s - 3*s + 2 + 9 = 2*s - 125*y + 120*y for s.
-9
Solve 3*z - 18 = -6*w, 317*z - 316*z - 9 = -w for z.
12
Solve 36*k - 73 = 63*k - 24*k + 5*b, 8 = -4*b for k.
-21
Solve 4213*h - 4217*h = -3*z + 71, -3*z - 89 = 4*h for h.
-20
Solve 0*t - 4022 = t - 61*b - 3948, 0 = -4*b + 4 for t.
-13
Solve 2*q + 4 = 2*n, -3*q - 1 = 5*q - 3*q + 4*n for q.
-1
Solve 0 = -5*d + 4*w - 0*w - 178, -73 = 2*d + 76*w - 77*w for d.
-38
Solve 30477*a = 30481*a - 267*m + 1072, -5*m = -20 for a.
-1
Solve -5*f + 3 + 5 + 8 = -3*c, -7 + 4 = -c for f.
5
Solve -5*s + 5*o - 40 = 0, 18*s + o + 173903 - 173816 = 0 for s.
-5
Solve -2*g - 26 = p, -11696*p + 11695*p - g - 14 = 0 for p.
-2
Solve 5*y = -4*l - 50, 74*y = 120554*l - 120557*l - 178 for l.
-10
Solve -2*y + 104 = 2*y + 62*d - 6, 2*y - d + 174 = -7*y for y.
-19
Solve -2*o - s - 4 = 0, 19*o = 28*o - 50*s - 527 for o.
3
Solve -86278*c - 3*k = -86281*c - 81, 0 = c - 4*k + 105 for c.
-1
Solve -5*h - 11*h - 8*h + 7*r = -22*h + 151, 291 = 3*h + 12*r for h.
5
Solve 22*b + 440*a - 439*a + 31 = 0, 4*b - 4*a - 32 = 0 for b.
-1
Solve 3*t + 4*k = -76, -40*t + 3*k - 1609 = -821 for t.
-20
Solve -j = -3*d + d + 47, 0 = -d - j + 2 - 37 for d.
4
Solve 92*a - 105*a - 120 = 5*z, -z + 5*z = -a - z - 120 for a.
0
Solve -m - y + 0 = -1, 4*y = -72*m + 75*m + 11 for m.
-1
Solve 3*v - 9*k + 73 = 68 - 63 - 10, -7*v - 6*k = -62 - 26 for v.
4
Solve 5*f - 4*w - 427631 = -427613, 0 = -4*f - 10*w + 54 for f.
6
Solve 0 = 881655*b - 881659*b - 5*h - 49, 5*b = 4*h - 10 for b.
-6
Solve -5*i - 2*y - 4 - 2 = 5, 0*y - y = -2*i + 1 for i.
-1
Solve 4*r = 4*k + 44 + 44, 143*r + 5*k - 80 = 138*r for r.
19
Solve 2 = u, -2*y - 12396 = -5*u - 12318 for y.
-34
Solve u - 16*c + 27 = 0, 4*u = 30213*c - 30212*c - 297 for u.
-75
Solve 4*v - 18*g + 20*g = -54, 27*v = 28*v + 2*g + 9 for v.
-15
Solve -2*l = 5*c - l + 16, -216*c - 105 = -211*c - 6*l - 26 for c.
-5
Solve 8*i + 3*k - 15 - 32 = 0, -310*i + 4*k = -310*i + 20 for i.
4
Solve 1753337*l = 1753343*l + 3*b + 36, -30 = -5*l + 5*b for l.
-2
Solve q - 16*l = -18*l - 12, l + 63 - 14 = -22*q for q.
-2
Solve 3*p + 1 - 14 = 13*t - 3, 50*p - 47*p - 2 = 5*t for p.
-1
Solve -3*a + 41*w - 18*w - 11*w = 10*w, 5*a - 2*w = 0 for a.
0
Solve -567 = 4*n - 1120 + 557, 34 = 5*l - 9*n for l.
5
Solve -2*j + 2*a - 26 = 0, -4*a = -3*j + 18983 - 19034 for j.
-1
Solve -v + 19*b - 9 = -8 + 1, -2*v + 5*b - 37 = 0 for v.
-21
Solve 3*k + 210 = 4*p, 5*p = 3*p - 5*k - 324 for p.
3
Solve -3*v + 6736*l = 6732*l - 209, 0 = 12*v + 8*l + 436 for v.
-1
Solve -3*v + 4*q - 8 = 0, 19*v + 5*q - 195 - 290 = 33*v - 129*v for v.
4
Solve 8 = -4*k - r + 23, -3*k - k + 25 + 4 = 3*r for k.
2
Solve 3*u + 58*g = -7 + 254, -g = 4*u - 24 for u.
5
Solve -2*j + 6*v = 48, 110598*j + 5*v = 110600*j + 45 for j.
-15
Solve -x = -46*w - 1753, -626*x - 622*x + 1247*x - 147 = 4*w for w.
-38
Solve 4*w + 40 = -0*w - 10*j, -w + 3*j = -6 - 6 for w.
0
Solve 65 - 191 = -9*q + 5*a, 48*q - 45*q - 4*a = 84 for q.
4
Solve 8*m + 210 = 5*b, 4*b + 42 = -923*m - 923*m + 1844*m for b.
2
Solve 2*n = -o + 5*o + 38, 9*n + 19*n = -2*o + 30*n - 28 for o.
-5
Solve -13*u - j = -52*u - 4*j + 120, 15*u = 12*u - 3*j + 12 for u.
3
Solve -5*d - 38*s - 111 + 18 = -29*s, s = 4*d + 99 for d.
-24
Solve 5*t = 213*l - 206*l - 177, 2*t + l = 28 for t.
1
Solve 2100*d - 195 = 7*b + 2102*d, -2*b - 6*d = 34 for b.
-29
Solve 4*r - 32 = -10700*s + 10703*s, 4*r = -12*s - 28 for r.
5
Solve k - d + 22 = 0, -45*k - 8*d + 3*d - 293 = -9*d for k.
-5
Solve 0 = 5*q + 3*d + 27 + 4, -3*q - 2*d = 22 for q.
4
Solve 37*u = 23*u + 15*u - f - 3*f - 34, -9*u + f = 9 for u.
-2
Solve 2*i = -b + 73497 - 73506, -9*i - 678 = 132*b for i.
-2
Solve -5*o + 2*x - x - 30 = 0, 115*x + 40 = 10*o + 118*x for o.
-2
Solve 95 = 12*r + 5*i, -i - 211 = 5*r - 243 for r.
5
Solve -2 = 2*y, 72 = -777*r + 3*y + 1500 + 14892 for r.
21
Solve 0 = 4*g + 2320884*k - 2320886*k + 54, 0 = -4*g + 3*k - 75 for g.
-3
Solve 3*t + 65*k - 62*k - 135 = 0, -5*k = -113*t - 3*k + 370 for t.
4
Solve k + 5*n + 117 = 0, 4*k - 8*n + 22*n = 19*n + 107 for k.
-2
Solve -4*s = k - 124, -6121*s + 2*k - 4*k + 155 = -6116*s for s.
31
Solve -58*r + 19*r + 19*r - 2*l = -21*r - 50, 2*r + 116 = -12*l for r.
-52
Solve 2*y + 33842*b = 33847*b - 14, -b + 1 = -y for y.
3
Solve -47484 = -2*a + 8*c - 47486, -4*a - 3*c + 15 = 0 for a.
3
Solve -36*t - 3347 = 4*w - 3223, -2*w + 4*w + 22 = 2*t for t.
-2
Solve 0*r - 4*r + 3 = -1729*z + 867*z + 857*z, -1 = -z for r.
2
Solve -83*x - 11*m = -87*x + 8, -3*x - 2*m + 13 = -34 for x.
13
Solve 49237*l = 4*c + 49234*l - 70, 4*c - 176 = 2*c - 69*l for c.
19
Solve 0 = -6*v + 18, 60 = -3*s - 2186691*v + 2186693*v for s.
-18
Solve -97*c - 31*y = -92*c - 96*y - 1145, -74 = 4*c + 3*y for c.
-5
Solve j = -16*b - 515, 56*b + 57*b - 4*j + 116 = 109*b for b.
-32
Solve 3*d - 7*s + 12*s = -51, -d + 31 = 3*d - 19*s - 55 for d.
-7
Solve 3*o + 4*o = 5*z - 0*o - 135, 17*z = 14*z - 2*o - 43 for z.
-1
Solve -11*g + g = -5*i - 12*g, -4*g = -6*g for i.
0
Solve -4*c - 207143*z = -207135*z + 34 - 118, -3*c = -4*z - 53 for c.
19
Solve 5*x + 92*o - 90*o = 1, -3*x - 42*o + 11 = -46*o for x.
1
Solve 0 = -5*c - 137*b - 4966 + 1287, -c - 10*b = -6*b - 6*b - 58 for c.
4
Solve -3*l = -z - 16, 4*l - 48939 = -48915 for z.
2
Solve 3*n = 5*x + 49, -2*n + 7287*x - 7282*x + 8 + 1 = -4*n for n.
8
Solve 4*c = 2*k + 76, c - 15919*k = -15922*k - 100 for c.
2
Solve 0*s - s + 5*z + 11 + 0 = 60, 0 = 4*s + z - 13 - 1 for s.
1
Solve 12*c - 20*c + 146*b - 692 = -5*c, 0 = 3*c - b + 112 for c.
-36
Solve 4*d = 6*s - 44, -3*s + 13*d - 21*d + 53 = -11*d + 29 for s.
6
Solve 3*v + 33 = -u, -1605*u - 5*v + 165 = -1610*u for u.
-33
Solve 54*g - 53*g + 2 = -0*z - 3*z - 0*z, -25*z = -3*g + 28 for g.
1
Solve -5*k - 59 = x, 47 = 956*k - 961*k + 2*x - 0*x for k.
-11
Solve -3*j - 2*v + 14 - 17 = 0, 3*v + 8 = -j - 0*v for j.
1
Solve 19 = 5*t - 34*j, 4*t + j - 2*j + 13 = 2 for t.
-3
Solve 0 = -y + 6*k - 8, 31*k - 7 = 4*y + 32*k + 7 - 7 for y.
-2
Solve -77*q + 482 = 4*x, 229*q + 5*x - 55 = -232*q + 456*q for q.
6
Solve 3*i + 42 + 28 = 5*j + 15, 9*i - 9070 = j - 9123 for i.
-5
Solve 18*k - 17*k = 3, -73*w - 74*w + 14*k - 60 = -150*w for w.
6
Solve 4*r - 5*u = 8 + 12, 481154*r = 481156*r + 5*u - 40 for r.
10
Solve -3*q - 13*p + 43 + 12 = -40, -5*q - 2*p = -95 + 35 for q.
10
Solve q - 44 = -5*g, 78303*q - 78302*q = 4*g + 53 for q.
49
Solve -2*w + 47 = 5*n, -20665*w = -20695*w - n + 483 for w.
1
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + k*m**2 + w*m + g and give d.
4
Rearrange (-6*q + q - 2 + 3)*((4 + 0 - 6)*(-1 - 2 - 8) + (1 - 1 + 1)*(-4 + 4 - 1)) to f*q + w and give w.
21
Rearrange (1 - 1 - 3)*(601*i - 180*i - 147*i) to c + t*i and give t.
-822
Express -26*x - 54 - 28 + 2*x**3 + 7*x + 9*x**2 + 82 in the form v*x**3 + h*x + n*x**2 + t and give n.
9
Rearrange 4*s**3 + s**3 - 8*s**3 + 1 + 3*s**2 + 0 - s**3 + 12*s to the form t*s**2 + p*s + j + x*s**3 and give p.
12
Rearrange -1428*t**2 - 2*t - 1435*t**2 + 2863*t**2 - 215*t**3 - 1 to a*t**3 + x*t + v + m*t**2 and give v.
-1
Rearrange 4*i**2 - 4 + 5 - 11*i - 10*i**2 + 3*i**2 to g + d*i**2 + t*i and give d.
-3
Express -5*h**3 - 6*h**2 + 3*h**2 - 3 + 3*h**3 + 3*h**3 - 3*h + 2*h**2 in the form j*h + g + d*h**3 + t*h**2 and give j.
-3
Rearrange 9*x**3 - 1 + 7*x**3 + 121*x**2 - 129*x**2 + 0 to v*x**2 + n + t*x**3 + w*x and give v.
-8
Express -x**2 - 8 - 7*x**2 + 4*x**2 + 5*x + 7*x**2 in the form w + y*x + t*x**2 and give w.
-8
Express 289*u**2 - 336*u**2 - 10*u - 6*u in the form r*u + d + q*u**2 and give d.
0
Express (3 + 6 - 16)*(-3 - 2 + 1)*(4 - 6 + 1)*(7*p**2 - 3*p**2 - 2*p**2) as s*p + a + t*p**2 and give s.
0
Rearrange (-2*v + 0*v - 3*v)*(-96 - v**2 + 0*v**2 - 34) to g*v**2 + o + r*v + y*v**3 and give y.
5
Rearrange 110*c**2 + 12*c**3 - 72*c**3 - 219*c**2 + 106*c**2 to p*c**2 + t*c + r*c**3 + o and give p.
-3
Rearrange (-14*u + 351 - 201 - 208)*(-3*u + 5*u - 3*u) - 1 - 2*u**2 + 1 + (-2 + 2*u + 2)*(2*u + 0 + 0) + 0*u**2 + 0*u**2 - u**2 to d + l*u + z*u**2 and give l.
58
Express -7*n**3 - 5*n**3 + 2*n**2 + 9*n**3 + 4 + 6*n**3 as l*n**3 + d*n + s + z*n**2 and give z.
2
Express (-4*m + 2*m + 4*m)*((-5 + 5 - 1)*(-2 + 3 + 0) - 2 + 1 + 0 + (0 - 3 + 4)*(2 + 0 - 1) + 1 + 1 - 3) in the form v + t*m and give t.
-4
Express -2*d**2 - 4*d**2 + 24*d**2 + (-3*d + 5*d - 3*d)*(4*d - d - 5*d) + 7*d**2 + 0 + 0 as g*d**2 + a*d + x and give g.
27
Rearrange (0 - p**2 + 0)*(-2 + 2 + 7*p)*(36 + 65 + 12) to c*p**2 + k + d*p + s*p**3 and give s.
-791
Express (0*c + 4 + 2 + 2*c)*(-4*c**2 + 9*c**2 - 218 + 223) in the form z*c**3 + m*c + d*c**2 + l and give l.
30
Express -7 + 6*v - 3 - 5 + 8 + 3 as j*v + t and give j.
6
Express (-f**2 + 2*f**2 + 0*f**2 + (f + f + f)*(8 - 10*f - 8) + f**2 - f**2 - f**2)*(-2 + 3 - 4)*(-4 - f + 4) in the form n*f**2 + z + r*f**3 + k*f and give r.
-90
Express 1581*r**2 - 683*r**2 - 676*r**2 as a*r + c*r**2 + o and give c.
222
Rearrange (-3*n**2 + 2*n**2 - n**2)*(4*n + 5*n**2 - 19*n - 5*n) to the form f*n**2 + m*n + k + l*n**3 + r*n**4 and give r.
-10
Express (5 + 2*g**2 - 5)*(231*g + 127*g + 14*g) as y*g**2 + r + i*g + n*g**3 and give n.
744
Express 0 - 2 - 29*c**2 + 58*c**2 - 31*c**2 + 3*c + c**3 in the form p*c**3 + b*c + v*c**2 + j and give b.
3
Rearrange (-x + 3 - 3)*(2 + 2 - 3) + 2*x - 5*x - 27*x + x - 4*x + 5*x to the form y*x + t and give y.
-29
Rearrange 28*f**3 + 18 + 11*f**3 - 5*f**3 - 20 - f + f**4 + 7*f**2 - 8*f**2 to i*f + q + v*f**4 + z*f**3 + d*f**2 and give v.
1
Rearrange (q - 3*q - 3*q)*((-q + 2*q + 0*q)*(4 + q - 4) - 19*q**2 - 23*q**2 + 28*q**2 - 3*q - 2) to the form n*q + p*q**2 + f + y*q**3 and give y.
65
Express (-3*m + 3*m + 4*m)*(-34*m**2 - 8*m**2 + 5*m**2) as b*m + h + n*m**2 + d*m**3 and give d.
-148
Rearrange (3*f**4 + f**4 + 11*f**4)*(61 - 81 + 44) to the form a*f**3 + r*f**4 + s*f**2 + o + i*f and give r.
360
Express -m**4 + 4*m**4 - 4*m**4 + (5 - 3 + 0)*(-95*m**4 + 42*m**4 + 26*m**4) in the form h*m**4 + r*m + l*m**2 + t + j*m**3 and give l.
0
Express -13723*r**3 + 27444*r**3 - 13718*r**3 + 23*r**2 - r in the form t*r**2 + q + h*r**3 + w*r and give h.
3
Express 4*t**3 + 455 + t**3 - 2*t**2 + 2*t**2 - 452 in the form l*t**3 + f*t**2 + i*t + a and give a.
3
Express (8*g + 12*g - 6*g)*(62 - 59 + 4*g - 14*g) as v*g**2 + s*g + a and give a.
0
Rearrange 52 - 7*y**3 + 0*y**2 - 52 - y**2 to the form k*y**2 + f + n*y + t*y**3 and give t.
-7
Express 3*a**3 + 259*a + 1 - 88*a + 0 - 9*a**4 - 87*a - 83*a - 2*a**2 as z*a**3 + n*a**2 + p*a**4 + i + s*a and give p.
-9
Rearrange 309*n + 102*n + 109*n + 249*n to the form r + i*n and give i.
769
Express 6*i + 2*i**3 - 3*i + 2*i**4 - 14 - 9 as v*i**4 + r*i**2 + n*i + o + t*i**3 and give o.
-23
Rearrange 37*m + 4890 - 4890 + (m + 2*m - m)*(2 + 0 + 0) + 2 - 2 - 6*m - 3 + 3 - m to the form h*m + u and give h.
34
Rearrange 3*f**3 + 27*f**4 + 1 + 43*f**4 + 3*f - 60*f**4 - 4*f to b*f**4 + r*f + k*f**3 + h + z*f**2 and give b.
10
Rearrange -60*l**3 - 2*l**4 + 60*l**3 + (8*l - 10 + 10)*(0*l**3 + 3*l**3 - 4*l**3) to c + f*l**3 + h*l + g*l**2 + x*l**4 and give x.
-10
Express -28 - 4*x**4 + 28 + (0*x - x**3 + 0*x)*(4*x + 0*x + x) + 4*x**2 - 4*x**2 + x**4 in the form z*x**3 + p*x**4 + t*x + j + s*x**2 and give p.
-8
Rearrange -17*i**4 - 97*i**2 - 94*i**2 + 186*i**2 - 4 + 5 to a*i**4 + d*i + o + j*i**3 + q*i**2 and give q.
-5
Rearrange -2 + 2 - x**3 + (-20 + 18 - 42)*(-5*x**3 + 5*x**3 - 2*x**3) + 2*x**3 - x**2 + x**2 to the form o*x**3 + w*x**2 + b + s*x and give o.
89
Express -19*w**2 + 595*w**2 + 74*w**2 as o*w**2 + n*w + j and give j.
0
Rearrange -444*q - 530*q - 138 - 135 + 273 to v*q + m and give v.
-974
Express 20 - 15 + 10*h**2 + 0 in the form c*h**2 + d + y*h and give d.
5
Rearrange -578 + 6*k**2 + 7*k + 578 to the form p*k**2 + a + g*k and give g.
7
Express 196*h**4 + 17*h**2 + 25*h - 27*h - 15*h**2 as l*h**3 + w*h**2 + j*h + k + d*h**4 and give d.
196
Express -1212 - 18*s + 2*s**3 + 1212 + (-s + 5*s - 5*s)*(0*s**2 - 2*s**2 - s**2) in the form j*s**3 + c*s + a + w*s**2 and give j.
5
Rearrange (-1 - w**3 + 1)*(5 - 2 - 9) + (2*w - 2*w - 3*w)*(-3*w**2 - 2*w**2 - 3*w**2) to b*w**3 + t*w + z*w**2 + h and give b.
30
Rearrange -61143*m**3 + 61174*m**3 + m**2 + 4*m + 0*m to the form z*m**2 + h*m**3 + x + i*m and give i.
4
Rearrange 183*b**2 + 4*b - 6*b - 171*b**2 to d*b + z*b**2 + m and give z.
12
Express (3 + 0 - 1 + (0 + 2 - 1)*(2 + 2 + 0))*(-8*v + 101*v - 16*v) in the form m*v + u and give m.
462
Express (2*m + 372*m**2 + 212294 - 212294)*(3 + 0 + 1) in the form i*m**2 + u + l*m and give i.
1488
Rearrange (-82 + 139 - 152)*(-2*m - 3*m + 7*m) + 0*m + m - 2*m to w + q*m and give q.
-191
Rearrange -h**3 - 2*h - 2*h**3 - 1 - 188*h**4 + 2*h**3 + 198*h**4 to g + n*h**4 + j*h**2 + y*h**3 + r*h and give g.
-1
Express 14*u**2 + 2*u**2 + 4 - 2*u**3 - u - 2 - 3 as g + x*u + d*u**3 + f*u**2 and give x.
-1
Rearrange s**4 + 332*s**3 + s - 6*s**4 + s**2 - 325*s**3 + 28*s**4 to the form a*s**4 + w*s**3 + o + r*s + n*s**2 and give r.
1
Rearrange 3*n**2 - 8*n**2 - 21*n**2 - n**2 to m*n**2 + k*n + w and give m.
-27
Express (44*p**2 - 17*p**2 - 6*p**2)*(0 - 1 + 2) + (p + p - p)*(5 - 2*p - 5) - 102*p + 6*p**2 + 102*p in the form z + n*p + l*p**2 and give l.
25
Express -16 - 36 + l**3 + 53 + l**4 + 13*l**2 - l + 9*l**3 as r*l + g*l**2 + w*l**3 + v + q*l**4 and give g.
13
Express -39 + 83*c**2 + 90*c**2 - c - 175*c**2 + 4*c in the form p + v*c**2 + k*c and give k.
3
Rearrange 68*o**2 - 155*o**2 - 141*o**2 to the form g*o**2 + s*o + p and give g.
-228
Express -9*c**2 - 30 + 30 + 30*c - 75*c as t*c**2 + f*c + i and give f.
-45
Rearrange b**4 + 0 + 0 + (-16*b**2 + 9*b**2 - 19*b**2)*(b + 6*b + b)*(-3 + 2 + 2)*(-2*b - 2 + 2) to g*b + j*b**3 + q*b**4 + d + k*b**2 and give q.
417
Express (11*g**3 - 80*g**3 - 8*g**3)*(2 - 5 - 2)*(-15 - 11 + 3*g + 24) in the form b*g**2 + n*g + r*g**4 + i*g**3 + k and give i.
-770
Rearrange -2*h**4 - 3 + 3760*h**2 - 1867*h**2 - 1852*h**2 to the form u*h**2 + p*h**3 + a + k*h + d*h**4 and give d.
-2
Rearrange -3*u**2 + 23 + u**3 - 5*u - 9 + 5*u**2 + 3*u to the form c*u + n*u**2 + r*u**3 + l and give l.
14
Rearrange (2*f + 0*f - 4*f)*(1327*f - 761*f - 690*f) to t*f + l + h*f**2 and give h.
248
Express (101*s**2 - 63*s**2 - 54*s**2)*(s - 3*s + 11 + s) in the form d*s + w + k*s**3 + g*s**2 and give k.
16
Express x**3 + 210 - 2*x**2 - 427 - 23*x + 218 in the form j + w*x**2 + a*x**3 + y*x and give w.
-2
Express -147*m**2 - 507*m + 507*m in the form s*m**2 + z*m + f and give s.
-147
Express (258 - 37 + 92)*(3*j + 2*j - 6*j)*(0 + 2 - 4) in the form d + q*j and give q.
626
Rearrange (4*h - 4*h + 3*h)*(0 + 1 + 0) + (0 - 3 + 4)*(2 - 1 + 1)*(98 - 98 - 9*h) to the form j + m*h and give j.
0
Rearrange -3*c**3 - c - 42 + 4*c**3 + 3*c**4 - 4*c**3 + 4*c**3 to m*c**4 + i*c + q + x*c
|
{
"pile_set_name": "DM Mathematics"
}
|
roduct of 0.8 and -65?
-52
Multiply -0.1 and 0.0464.
-0.00464
Calculate -0.6*6180.
-3708
Calculate -1.8*23.
-41.4
90.39 * -0.5
-45.195
Product of -0.04 and 503.
-20.12
-8*-1.56
12.48
0.13 times -0.09
-0.0117
Work out 17984 * -4.
-71936
What is 1.899 times 2?
3.798
Product of -327 and 0.2.
-65.4
Multiply 262 and 0.05.
13.1
Product of -0.11 and 0.59.
-0.0649
0*-0.173
0
Calculate 0.078*0.055.
0.00429
Work out -3.64 * 0.1.
-0.364
Product of 98 and 0.8.
78.4
What is 13 times 0.3?
3.9
What is 1.3 times -6?
-7.8
Work out -2 * 1213.
-2426
Work out 3 * -2332.
-6996
Multiply -0.2 and -36.
7.2
Multiply -4 and -0.0582.
0.2328
0.1 times 743
74.3
-0.04 * 9
-0.36
18 * -0.01
-0.18
Work out -4 * 151.
-604
What is -0.4 times -8?
3.2
28 * -17.6
-492.8
358 * -0.5
-179
-0.1*1.6
-0.16
Multiply -166 and 0.1.
-16.6
Multiply 0.01 and -8.
-0.08
-1*-2014
2014
Work out 0.259 * 0.07.
0.01813
-0.7*0.0232
-0.01624
79 times -2
-158
Work out 2.398 * -3.
-7.194
-0.219 times 4
-0.876
Work out -321 * -0.3.
96.3
What is the product of 4.8 and 2.3?
11.04
Multiply -1 and 4.79.
-4.79
Work out -1.45 * 6.
-8.7
Work out -0.8 * 1.38.
-1.104
What is the product of -0.1 and -6.1?
0.61
Work out 59 * -0.1.
-5.9
-1*-0.112
0.112
What is 0.07 times 2?
0.14
-1.3 times 636
-826.8
What is the product of 0.0335 and 12?
0.402
What is -0.5 times 155?
-77.5
-0.06*18.5
-1.11
Multiply -1197 and -5.
5985
56 times 75
4200
What is the product of 1.638 and -0.4?
-0.6552
Work out -0.1 * 20.
-2
What is -137 times 0.39?
-53.43
-0.33*11
-3.63
0.575 times 0
0
Work out 193 * 1.
193
What is the product of 27462 and 0.2?
5492.4
What is -0.4 times 1.3?
-0.52
0*-574.9
0
0.3 * -13
-3.9
Calculate 191*4.
764
-0.51 * -49
24.99
What is 0.5 times -113?
-56.5
Multiply 5 and -7.8.
-39
-0.3*-29.8
8.94
-0.89 * -1.3
1.157
Work out 23.4 * 0.
0
Multiply 56.9 and -0.5.
-28.45
Multiply 149 and -1.
-149
What is the product of 4 and -1.67?
-6.68
What is 203 times 0.5?
101.5
Product of -0.104 and -35.
3.64
What is the product of -2 and 47?
-94
0.1*8.04
0.804
What is the product of -0.128 and -0.1?
0.0128
What is the product of 0 and -2933?
0
-0.53 * -10
5.3
-4 * 54
-216
What is the product of 3 and 0.027?
0.081
-4*0.1
-0.4
What is 1 times -24?
-24
Multiply 3 and -0.957.
-2.871
0.02 * -22
-0.44
Work out -0.052 * -0.4.
0.0208
3 * 0.205
0.615
Work out 11.12 * -7.
-77.84
Multiply 37.15 and -2.
-74.3
Work out 0 * -8.
0
Product of 31 and 2.
62
0.15 * -54
-8.1
Calculate 0.5*762.
381
What is 0.0378 times 0?
0
What is -0.1 times 18.3?
-1.83
Calculate -964.1*3.
-2892.3
2 times 264
528
Work out 1 * -0.044.
-0.044
-0.1*-1.06
0.106
Calculate 0.3*36.
10.8
0.3*2700
810
Product of -19 and 55.
-1045
Multiply 2 and 109.
218
What is -140 times -0.16?
22.4
-1.1*1142
-1256.2
Multiply 9.4 and -8.
-75.2
Work out 0.1 * 1.27.
0.127
Calculate -429*0.05.
-21.45
Product of -0.02 and 4.5.
-0.09
0.07 * 0.01
0.0007
-0.2 * -30
6
-4 * 473
-1892
Work out 122.8 * 1.
122.8
What is -3 times 383?
-1149
What is the product of -44 and 2.6?
-114.4
What is -454 times -0.4?
181.6
Multiply 386 and -0.1.
-38.6
What is -4 times 0?
0
97.48 * -3
-292.44
Work out 8.71 * -5.
-43.55
What is the product of -2 and -373?
746
Work out 2 * 2.03.
4.06
What is -36 times 0.3?
-10.8
-1.37 times 1
-1.37
What is the product of 0 and 5.59?
0
-1178 times -3
3534
What is the product of 267 and 0.2?
53.4
Calculate 3*6.62.
19.86
Multiply -41 and -0.3.
12.3
Calculate 2*-7.
-14
What is the product of 746 and -0.2?
-149.2
What is the product of -16.4 and 0.045?
-0.738
Work out 4 * 0.06.
0.24
What is the product of -0.3 and -7?
2.1
Work out -0.2 * -0.01.
0.002
2 * 0.06
0.12
Calculate -0.6*-78.4.
47.04
What is -0.8 times 14?
-11.2
Product of 1 and -93.9.
-93.9
-3 times 621
-1863
What is the product of 318 and -1.4?
-445.2
0.0536 times -2
-0.1072
-0.92 times -5
4.6
Calculate 170.2*0.3.
51.06
What is -7 times 16?
-112
What is 0.6 times -1.7?
-1.02
Product of 85 and 3.
255
Multiply -825 and 3.
-2475
Work out -0.1 * 3.1.
-0.31
What is the product of -86.2 and -2?
172.4
0.5 times 1226
613
Product of -0.5 and 133.
-66.5
1.9 * -3
-5.7
What is the product of 4 and 0.21?
0.84
What is -2.6 times 253?
-657.8
Multiply -79 and -2.
158
Multiply 1.2549 and -1.
-1.2549
0.15 times 150
22.5
0.2 * -615
-123
0.36 times -233
-83.88
What is the product of -62 and 2?
-124
Calculate 0.3*165.
49.5
Work out 0.2 * 131.
26.2
What is the product of -65.5 and -4?
262
What is 0.1 times 0.2?
0.02
What is the product of 52.93 and 0.4?
21.172
Multiply 0.4 and 22.1.
8.84
0.076 times -2
-0.152
Calculate -914*-0.08.
73.12
What is 0.01 times -0.13?
-0.0013
-0.202 times 0.02
-0.00404
What is the product of 677 and -1.5?
-1015.5
What is the product of 2.24 and -47?
-105.28
Calculate -5800*-0.1.
580
What is the product of -0.5 and -0.052?
0.026
Product of 4 and 0.16.
0.64
-1 times 462
-462
Calculate -117*-12.
1404
Multiply -0.4 and -0.52.
0.208
Work out 185 * 7.5.
1387.5
What is 0.2796 times 0.3?
0.08388
Work out 0.16 * -0.5.
-0.08
0.08*-1407
-112.56
-55*-76
4180
-64.8 * -6
388.8
1.07 * -0.09
-0.0963
Product of 0.1 and -14.
-1.4
Multiply 7.29 and -0.1.
-0.729
-0.5 * 447
-223.5
0.14 times 0.66
0.0924
0.07 * -0.1739
-0.012173
Calculate 0.05*-5.
-0.25
What is the product of -5 and -0.736?
3.68
Calculate 1384*5.
6920
What is the product of 39.2 and -0.5?
-19.6
206 times -4
-824
180*15
2700
0.1 times -13
-1.3
Product of 0.022 and 648.
14.256
-0.4 times 7.6
-3.04
What is 7 times -82?
-574
0.3 times -21.4
-6.42
Calculate 412*-0.2.
-82.4
Multiply 15.3 and 0.07.
1.071
Product of 0.1 and -1.84.
-0.184
30*4
120
0.5 times -8.5
-4.25
0.2 * -3.22
-0.644
0.14 * -0.259
-0.03626
Work out 772 * -0.3.
-231.6
-1.1 * 7
-7.7
Product of -0.1 and -9.7.
0.97
What is the product of 1.678 and -2?
-3.356
-0.061*0.1
-0.0061
Work out -136 * -0.2.
27.2
Multiply -4 and 0.0024.
-0.0096
0.1 times -109
-10.9
0.036 times -0.9
-0.0324
Calculate -0.4*-0.02448.
0.009792
0.2 times 1.85
0.37
6 times -0.9
-5.4
What is the product of -0.5299 and -2?
1.0598
-0.661 times -7
4.627
1113 * 0
0
Work out -312 * -4.
1248
-305 * -1
305
29.5*-0.5
-14.75
Calculate 3*3.78.
11.34
Work out -0.56 * -2.
1.12
Calculate 6*0.046.
0.276
Product of 0.2 and -2.81.
-0.562
-1377*-0.1
137.7
Work out -1 * 0.981.
-0.981
Work out 1194 * -2.
-2388
Multiply -0.1 and -0.69.
0.069
Work out 57 * 42.
2394
What is the product of 0.082 and 0.24?
0.01968
Multiply 0.097 and 24.
2.328
Multiply -1 and 0.0226.
-0.0226
What is -22 times 0.12?
-2.64
What is the product of 218 and -12?
-2616
0.6 * 0.08
0.048
Product of -0.9 and 7.96.
-7.164
What is the product of -359 and -0.2?
71.8
Product of -0.3 and -6.31.
1.893
Multiply 0.061 and 3.
0.183
What is -6 times 1.449?
-8.694
Work out 4 * -4839.
-19356
360 times 0.1
36
Product of -1.6 and -0.03.
0.048
Work out 0.0438 * 7.
0.3066
Work out 12.2 * 0.4.
4.88
What is the product of -0.2 and 0.0383?
-0.00766
Product of -4 and -0.091.
0.364
What is the product of 20 and 111?
2220
What is 0.5 times 1.8?
0.9
0.75*-0.1
-0.075
What is -4424 times 0.5?
-2212
Multiply -168 and -52.
8736
Work out 16 * 1.34.
21.44
0.2*0.099
0.0198
What is -361 times -0.1?
36.1
Work out -3 * 0.13.
-0.39
2 * -283
-566
Work out 9 * 344.
3096
Multiply -353 and -0.02.
7.06
What is -4 times -613?
2452
Work out -0.3 * 0.02156.
-0.006468
Product of -0.1 and 0.0917.
-0.00917
Product of -32.6 and -0.3.
9.78
Calculate -5*13.8.
-69
Multiply -143 and 45.
-6435
Product of -28 and 5.
-140
-40.3 times 2
-80.6
7.71*0.02
0.1542
What is 0.0184 times -5?
-0.092
What is the product of 1 and 0.07?
0.07
-47 * 0.04
-1.88
What is the product of -4 and -0.58?
2.32
Calculate 0.121*0.3.
0.0363
Work out -56 * -60.
3360
0.0319*-2
-0.0638
Calculate -0.08*-26.
2.08
What is the product of -28 and 22?
-616
-2 * -5.68
11.36
0.14 * 22
3.08
4.9*-10
-49
31.9*-0.3
-9.57
Multiply 0.1 and -2.06.
-0.206
-24 times 0.046
-1.104
-2*-0.159
0.318
Multiply -261 and 3.
-783
What is the product of -0.3 and 0.128?
-0.0384
Work out 0.7 * -1358.
-950.6
What is the product of 3231 and 0.1?
323.1
Product of -20 and 4.1.
-82
-0.3*-6.257
1.8771
-6 times -7
42
What is -0.14 times -33?
4.62
1 times 0.0189
0.0189
What is 2655 times 3?
7965
What is 0.3 times 1.06?
0.318
0.4*-252
-100.8
Product of 3 and 1012.
3036
Product of -52 and 184.
-9568
Work out -5402 * -4.
21608
|
{
"pile_set_name": "DM Mathematics"
}
|
et t(d) = -3 - 2*d**3 + d**3 + 36*d**2 + d - 11*d**2 - 10*d**2 - 8*d**2. Calculate t(a).
4
Let b(l) be the second derivative of l**3/2 - 27*l**2 + 2*l + 139. What is b(17)?
-3
Let w(v) be the third derivative of v**6/360 - 7*v**5/120 + v**4/4 + 23*v**3/6 - 23*v**2. Let i(c) be the first derivative of w(c). What is i(5)?
-4
Let t be -9 - (4 + 2 - 6)/(-2). Let l(i) = i + 23. Calculate l(t).
14
Let n(m) be the second derivative of -m**4/4 + m**3/3 + 7*m**2/2 + 2*m - 115. What is n(3)?
-14
Let j(p) = -p + 2. Suppose 0 = -4*b + 2*h + 42, 32 = 2*b - 2*h + 6. Suppose -2*f + b = 2*f. Suppose -5*l - 3*z = -35, f*l + z - 21 = -l. Give j(l).
-5
Let i(z) = z**3 - 3*z**2 - 8*z + 12. Let s be 8 - (24/4 + -2). What is i(s)?
-4
Let p(b) = -b**3 + b**2 - b. Let n(f) = 5*f**3 - 15*f**2 - 2*f + 8. Let x(i) = -n(i) - 6*p(i). Let r = 7 - 15. What is x(r)?
-8
Let z(w) = 0*w + 0*w**2 + 5*w**2 - 4 - 7*w**2 - 9 + 12*w. Calculate z(7).
-27
Let u(s) be the second derivative of 1/3*s**3 + 1/20*s**5 + 0 + 12*s + 1/2*s**2 - 1/4*s**4. Determine u(3).
7
Let t(l) = -l**3 + 7*l**2 + 7*l + 8. Suppose g - i = 2*i + 22, -46 = -3*g + 5*i. What is t(g)?
57
Let k = 1 - 5. Let t(x) = 20*x**2 - x + 3. Let g(j) = -9*j**2 - 2. Let h be ((-4)/6)/(-1 - 40/(-48)). Let a(r) = h*t(r) + 9*g(r). Determine a(k).
-6
Suppose -130 = -17*x - 28. Let k(n) = -n**3 + 6*n**2 + 3*n + 2. Calculate k(x).
20
Let y(v) = -10*v**2 - 17*v - 8. Let g(x) = -7*x**2 - 11*x - 5. Let s(m) = 7*g(m) - 5*y(m). Let p be ((-1)/(-2))/(1/(-12)). Give s(p).
-7
Let u(y) = -12*y**2 - 13*y + 17. Let v(g) = 5*g**2 + 6*g - 9. Let z(q) = 2*u(q) + 5*v(q). Determine z(-7).
10
Let y(t) = 8*t**2 + 6*t + 1. Let d(v) = 10*v**2 + 5*v. Let b(x) = 3*d(x) - 4*y(x). Calculate b(-6).
-22
Let b = -6 - -10. Let c(u) = -9*u + b + 0*u + 2*u + 8*u. Calculate c(-4).
0
Let x(a) = -2*a**2 + 5*a - 3. Let v(h) = -h**2 + 13*h + 19. Let d be v(14). Give x(d).
-28
Let c(i) = i**3 - i**2 - 4*i - 1. Let f be c(3). Let d(x) = -2*x**2 - x. Let z(m) = 13*m**2 + 5*m - 5. Let v(u) = 6*d(u) + z(u). Determine v(f).
15
Let w = -33 + 35. Let f(j) = 2 - 1 + 2*j - j + w. Calculate f(9).
12
Suppose -10 = -5*g + 2*g - 2*z, -3*g + 14 = -2*z. Suppose -6 = -2*o + g. Let b(u) = 0*u**2 - 5 + o*u + 11 + u**2 - 13*u. Calculate b(5).
-9
Let t(k) = 2*k + 2*k - k + 4*k - k. Calculate t(1).
6
Suppose -o + 15 = -2*b - 2*o, 24 = -5*b + 2*o. Let y(n) = 7*n**2 + 13*n - 1. Let t(h) = h**2 + h - 1. Let z(g) = b*t(g) + y(g). What is z(-5)?
-5
Let v(h) be the second derivative of -h**5/20 + h**4/2 - 7*h**3/6 - 4*h**2 - 420*h. Calculate v(4).
-4
Let p(b) = b**3 - 7*b**2 + 5. Suppose -23*w - 90 + 251 = 0. Calculate p(w).
5
Let q(l) = -29*l**2 + 5*l + 20. Let k(r) = -14*r**2 + 2*r + 8. Let z(p) = 5*k(p) - 2*q(p). What is z(1)?
-12
Let v = 80 - 147. Let c = v + 72. Let d(j) = j**2 - 5*j - 2. Give d(c).
-2
Suppose 4*j - 8 = 2*w - 40, -4*j - 2*w = 32. Let d(a) = -2*a - 7. Give d(j).
9
Let t(f) = -f**2 + 21*f + 69. Let o be t(-3). Let p(b) = -2*b + 5. Give p(o).
11
Let a(k) = k**2 + 3*k - 2. Let l be a(-4). Let v(p) = p**3 - 17*p**2 + 18*p - 24. Let m be v(16). Let x(w) = m*w - 1 + 0*w**2 - 2 + w**l - 2*w. Calculate x(-3).
-12
Let l be (0 - (-44)/(-8))*-2*1. Let a(g) = -g**3 + 9*g**2 + 22*g + 4. Let x be a(l). Let s(k) = -k**2 + 5*k + 2. Determine s(x).
6
Let v(j) be the third derivative of j**5/60 - j**3/3 + 18*j**2 - 3*j. Determine v(0).
-2
Suppose u + l - 2 = 0, -5*u + 0*l = -5*l - 10. Let d(r) = -4*r**u - r**3 + 2*r + 5*r**2 - 15 + 20 - 5*r**2. What is d(-5)?
20
Suppose -5*o + 18 = -0*v - 2*v, 2*v = -3*o - 2. Let g(s) = 2*s**2 + 14*s + 8. Let p(i) = -i**2 - 5*i - 3. Let q(c) = 4*g(c) + 11*p(c). Give q(o).
-11
Suppose -60 = -l - 14*l. Let w(y) = -3*y**2 + 5*y + 3. Let k(v) = -7*v**2 + 11*v + 6. Let q(z) = -2*k(z) + 5*w(z). Give q(l).
-1
Suppose 7 = 2*d - 4*o + 1, 0 = 3*d - 3*o - 9. Suppose -3*m + 6 = 0, 5*m - 7 = -2*g + 9. Let n(r) = -2 + g - d - r - 1. Determine n(-4).
1
Let j(v) = 655*v - 2 - 327*v - 330*v. Suppose 3*w = -1 + 13. Let c(s) = -s - 1. Let g(d) = w*j(d) - 11*c(d). Determine g(-3).
-6
Let a = 64 - 66. Let q(c) = c**3 + 3*c**2 - 3*c - 1. What is q(a)?
9
Let u(r) = -1. Let f(k) = -9*k - 5. Let o(q) = -f(q) + 3*u(q). Calculate o(-2).
-16
Let n(c) = c**3 - 4*c**2 + c - 1. Let r be -3*(5 - 4) + -16. Let f = -15 - r. Give n(f).
3
Let q(h) = -h**2 + 10*h - 8. Let v(s) = -s**3 + 7*s**2 - 11*s + 11. Let m be v(5). Calculate q(m).
16
Let l(h) be the second derivative of 7*h**5/20 - h**3/6 + h**2/2 - 15*h. What is l(1)?
7
Let m(n) = 11*n**2 - 187*n - 1. Let y be m(17). Let h(i) = -16*i - 2. Calculate h(y).
14
Let w(h) = -4*h**3 - h**2 + 5*h + 12. Let k be w(-3). Let m = k - 90. Let j(t) = t**3 - 6*t**2 - t + 3. Determine j(m).
-3
Let k(f) = -8*f**2 - 4*f + 3. Let c(b) = -13*b**2 - 6*b + 7. Let d(s) = -3*c(s) + 5*k(s). What is d(-3)?
-9
Let i(x) = 5 - 2 - 6 - x**2 + 1 - 3 - 5*x. Suppose 5 = -c + 1. Determine i(c).
-1
Suppose -9*t = -14*t + 45. Let a(q) = -t*q - 5*q - 8*q + 23*q - 11. Let b(r) = 3*r. Let z be b(2). Calculate a(z).
-5
Let s = 205 - 206. Let o(j) = -21*j**3 - 2*j**2 - j. What is o(s)?
20
Let s = -20 + 23. Suppose 7*r + 8 = s*r. Let a(v) = v. Give a(r).
-2
Suppose -j + 1 = 4. Let z(s) be the first derivative of s**4/4 + 5*s**3/3 + 3*s**2/2 - 3*s - 385. Calculate z(j).
6
Let q(w) = -w**2 + w - 1. Let l(g) = -2*g - 3. Let u(b) = -l(b) + q(b). Let f be 7 + -5 + 2/1. Calculate u(f).
-2
Let r(a) = -11*a**3 - 23*a**2 + 5*a + 34. Let d(j) = -5*j**3 - 11*j**2 + 2*j + 16. Let q(k) = -13*d(k) + 6*r(k). Calculate q(4).
28
Let y = 8 - 7. Let c(r) = 2*r - 11. Let x be c(4). Let t(n) = -4*n**2 - 4*n. Let w(o) = -o**2 + 1. Let u(b) = x*w(b) + y*t(b). Give u(-2).
1
Let h(u) = -5*u - 9*u**2 + 3*u**2 - 4*u + 5*u**2. Calculate h(-8).
8
Let h(o) be the first derivative of o**3/3 - 4*o**2 + 6*o + 160. Determine h(8).
6
Let m(s) = s**3 + s**2 + 2*s + 4. Let o be ((-6)/5)/((-66)/(-165)). Determine m(o).
-20
Let a(x) = -x**3 + 3*x**2 + 11*x - 10. Let z(k) = -k**3 + 4*k**2 + 8*k - 10. Let r(h) = 4*a(h) - 5*z(h). Give r(7).
-11
Let v(o) be the first derivative of 9*o**2/2 - o + 1. Suppose 0 = 4*g + 30 - 10. Let c(k) = k**3 + 6*k**2 + 4*k - 6. Let r be c(g). Calculate v(r).
-10
Let c(w) = -w**3 - 3*w**2 - 4. Let y = 379 + -382. Determine c(y).
-4
Let j(z) = z - 3. Let c = 689 - 681. Give j(c).
5
Let d(i) be the second derivative of -5*i**3/3 + i**2/2 + 8*i + 5. Determine d(1).
-9
Let g = 24 - 20. Let j be ((-2)/(-1))/(6/15). Suppose d = j*f - 6, 3*d + g*f - 1 = -19. Let r(l) = -l**2 - 7*l - 3. What is r(d)?
3
Suppose -2*v - v + 3*c = 0, -2*v = c - 6. Suppose -a + 3 = -2. Let l(k) = k**3 + a*k**2 + 4*k - 12*k**2 - v*k + 4*k. What is l(6)?
0
Let i(y) be the second derivative of y**4/12 + 4*y**3/3 - 7*y**2/2 - 3*y + 40. What is i(-7)?
-14
Let b(v) = 3*v + 2. Let c(n) = -7*n + 3. Let p(h) = -5*b(h) - 2*c(h). Give p(-11).
-5
Let u(l) = l**2 - 7*l - 7. Let z(w) = -w**2 - 20*w - 77. Let n be z(-6). Determine u(n).
-7
Let r(i) = -4 - 4*i - 2*i**2 - 4*i - i. Let q be (4/(-8))/(11 + (-786)/72). Determine r(q).
-22
Let a = 17 - 12. Let p(v) be the third derivative of -1/15*v**5 + 0*v + 7/6*v**3 + 1/120*v**6 + 0 - 12*v**2 - 1/4*v**4. Calculate p(a).
2
Let n(z) be the first derivative of 11*z - 1/4*z**4 - 1/3*z**3 + 1/2*z**2 - 3. Suppose -2*h = -0*h + 2*k - 6, -6 = -h - 2*k. Calculate n(h).
11
Let f(y) = y**3 + 3*y**2 - 4*y - 2. Suppose -3*l - t = 10, -26 = -5*l - 5*t - 36. What is f(l)?
-2
Let m be (20 - (-5)/1) + -2. Let o(u) = u**3 - 23*u**2 + u - 22. What is o(m)?
1
Let g(l) = -5*l - 1. Let i be g(7). Let y be (-1)/6 + (-42)/i. Let u(n) = 3*n - 1. Calculate u(y).
2
Suppose q = 4 - 2. Let x(g) = 0*g**2 - 333*g + 329*g - g**q. What is x(-3)?
3
Let h(y) be the third derivative of -28*y**2 + 0*y - 1/6*y**4 - 1/60*y**5 + 0 - 1/6*y**3. Determine h(-4).
-1
Let t(n) = -n - 3 - 3*n**2 + 0*n + 2*n**2. Let o = 558 + -555. Determine t(o).
-15
Suppose -13 - 3 = -4*h, h = -5*r - 281. Let s = r - -52. Let u(b) = -b**2 - 7*b. Determine u(s).
10
Let l(i) = -i**3 - 15*i**2 + 2*i + 36. Let p be l(-15). Let s(q) = -q**2 + 5*q + 18. Give s(p).
12
Let z(q) = -1. Let s(m) = -m**2 + 2*m + 2. Let o(g) = -s(g) - 2*z(g). Give o(4).
8
Suppose -21*p = -9*p. Let s(n) = -n - 18. Calculate s(p).
-18
Let w = -19 + 21. Let u(p) = -3*p + w -
|
{
"pile_set_name": "DM Mathematics"
}
|
highest common divisor of 65 and b.
13
Suppose 0 = -5*c - 3*x + 142, c + 3*c - 115 = -x. Calculate the highest common divisor of c and 87.
29
Let d(h) = -16*h + 13. Let k be d(-7). Suppose -8*y = -k + 45. What is the highest common factor of y and 170?
10
Let i be 217/3 - (-2)/3. Let n = i + -29. Suppose 6*a + 22 = 8*a. Calculate the highest common divisor of n and a.
11
Suppose 29*d - 24*d - 50 = 0. Let c = 23 - d. What is the highest common factor of c and 26?
13
Suppose -a + 5*a + 3*d = 48, -5*a + 2*d + 60 = 0. Calculate the greatest common factor of 972 and a.
12
Let r(o) = o**2 + 4*o - 7. Let u be r(-6). Let k be 10/(-6)*(-15)/3*3. Calculate the greatest common factor of k and u.
5
Suppose u + 226 = 5*i, 0 = -3*i + 6*i - 5*u - 118. What is the greatest common divisor of 138 and i?
46
Let u = 11 + -7. Let q be 59/u - 1/(-4). Let f be (2/(-4) + 0)/(36/(-432)). Calculate the greatest common factor of f and q.
3
Let g = 2667 + -392. What is the highest common divisor of g and 91?
91
Suppose 7*z + 6*z = 52. Suppose -z*h - 1 = 2*o - 3, 43 = 4*o - 5*h. What is the greatest common factor of 1 and o?
1
Let p be (-4)/6*(-20 - 4). Suppose 4*t - y = 443, -4*t + 127 + 336 = 3*y. Calculate the greatest common divisor of p and t.
16
Let v = 299 + -295. What is the highest common divisor of v and 76?
4
Suppose -7*w + 5*w + 30 = 0. Suppose -w*p + 540 = -11*p + 3*n, p - 134 = -n. What is the greatest common divisor of 92 and p?
46
Let f = -321 - -343. Calculate the greatest common divisor of f and 187.
11
Suppose -c + d = -3*d - 50, 0 = -5*d + 25. Let j be ((-24)/20)/((-2)/c). Calculate the greatest common factor of 14 and j.
14
Suppose 27*h - 8 = 31*h. Let i be (-420)/(-45) - h/(-6). What is the greatest common factor of i and 153?
9
Suppose 935 + 169 = 4*o. Suppose 0 = -4*j + o + 692. Calculate the greatest common factor of 22 and j.
22
Let x be 1577/7 - (-4)/(-14). Let i = 28579 + -28534. Calculate the greatest common factor of x and i.
45
Let v be (-10 - -8)*((-430)/4 - 1). Suppose -9*d + v = -638. What is the greatest common factor of 19 and d?
19
Let c = -126 - -136. Calculate the highest common divisor of c and 20.
10
Let g be ((1 - -2) + -4)*-2. Suppose -n + g*n = 12. Calculate the highest common factor of n and 48.
12
Let j = 64 + -18. Suppose 3*n - 7*q = -3*q + j, 90 = 5*n - 4*q. Let v = n + -14. Calculate the greatest common factor of 72 and v.
8
Let c = 1251 + -1211. Let a be (-1 - 0)*22 - 2. Let x = a + 34. What is the highest common divisor of x and c?
10
Let b(i) = -i**3 + 10*i**2 - 11*i + 2. Let k be b(8). Let o = k + -12. Suppose 0 = g + g - o. What is the highest common divisor of 135 and g?
15
Suppose 0 = -7*m + 3*m. Suppose m*b + b + 26 = 4*s, 36 = 5*s - 3*b. Let g be ((-6)/(-15) - 0)/((-2)/(-60)). Calculate the greatest common divisor of g and s.
6
Suppose 6 + 14 = 4*i. Suppose -i*n = -4*n - 6. Let k = 47 + -38. Calculate the greatest common factor of k and n.
3
Suppose 0*m - 5*m + 4*o = -1, 2*o = 2. What is the highest common factor of 8 and m?
1
Suppose 638*t = 667*t - 32 + 3. Suppose -7*v = -4*v - 6. What is the highest common divisor of t and v?
1
Suppose -13*s + 5*s = -32. Suppose -5*n - s*n = -180. What is the highest common divisor of n and 5?
5
Let m(g) = -g**3 - 6*g**2 - 5*g + 18. Let x be m(-5). What is the greatest common factor of x and 12?
6
Suppose -2*k + 6*k - 14 = 2*t, -2*t - k = -11. Suppose t*z + 10 - 25 = 0. Calculate the highest common factor of z and 2.
1
Let f be 2/(-2) + (-10)/(-1). Suppose 0 = 77*q - 3040 - 425. Calculate the greatest common factor of f and q.
9
Let o be (0 + 27/5)*5. Let u(x) = -x**2 - 7*x + 53. Let d be u(-11). What is the greatest common factor of d and o?
9
Let m(r) = 25*r - 60. Let y be m(6). Calculate the greatest common factor of 20 and y.
10
Suppose n = 9, -1526*n + 1527*n = 5*r - 131. Let m = -297 - -176. Let l = -37 - m. Calculate the highest common factor of l and r.
28
Let h = -143 - -101. Suppose 34*r - 35*r = 26. Let x = r - h. Calculate the highest common divisor of x and 16.
16
Let x = 308 - 232. Calculate the highest common divisor of 4 and x.
4
Suppose 4*y + x = 7773, -12 = 4*x - 0*x. Suppose 6*c + 3*c = y. Calculate the highest common divisor of c and 24.
24
Suppose 3*n - 13 = 2, -3*h + 4*n = -109. Calculate the highest common factor of h and 43.
43
Suppose 0 = r - 4*b + 8, r = -0*b + 2*b - 2. Let s be (18/21)/(r/140). Calculate the greatest common factor of s and 30.
30
Suppose 43 = 5*j + z, z + 0*z = 4*j - 29. Calculate the greatest common factor of j and 14.
2
Let i be ((-25)/150)/(-1*1/30). Let h be (4/(-6))/((-4)/330). Calculate the highest common factor of h and i.
5
Let z = 110 + -101. Calculate the greatest common divisor of 153 and z.
9
Let k = 129 + -100. Calculate the greatest common divisor of k and 145.
29
Suppose 0 = 4*h - 2*g, -4*g + 8 = 2*h - 3*g. Suppose h*j - 8*k = -3*k + 41, -5*j + 3*k + 74 = 0. Calculate the greatest common factor of 65 and j.
13
Let n(x) = x**2 - x + 11. Let q be n(-5). Calculate the highest common factor of 328 and q.
41
Let u(z) = z**3 + 14*z**2 - 2*z + 9. Let n be u(-14). What is the greatest common divisor of n and 407?
37
Let h(j) = 12*j + 30. Let y be h(0). Calculate the greatest common factor of y and 170.
10
Let p(t) = t**3 + 50*t**2 - 58*t - 247. Let m be p(-51). Calculate the greatest common factor of 176 and m.
22
Suppose -2*r = t - 35, 6*r - 3*r = 4*t + 80. What is the greatest common factor of r and 320?
20
Let u(t) = 6*t**2 + 1. Suppose -2*j + 5 = 3*j. Let s be u(j). Let n = -55 + 111. Calculate the greatest common factor of s and n.
7
Suppose -z = 3*z + 3*y + 15, -3*z - 2*y = 10. Suppose -5*h = -z*h - 5*l - 40, 0 = h + 5*l - 14. What is the greatest common divisor of h and 1?
1
Let d = -128 + 140. Suppose v - 4*c - 6 = -22, -c + 4 = 4*v. Suppose -4*b = -v - d. What is the greatest common factor of 21 and b?
3
Let t = 25 + -13. Suppose 12*c = 16*c - 268. Let s = -43 + c. Calculate the highest common divisor of s and t.
12
Let n(j) = -11*j - 180. Let f be n(-18). Calculate the highest common divisor of 117 and f.
9
Let u(n) = n**3 + 5*n**2 - 7*n - 1. Let o be u(-5). Suppose 0 = -2*q - 0*q. Let s be 16 - (-3 + q - -2). Calculate the highest common divisor of o and s.
17
Let a(g) = -g**3 + 20*g**2 - 61*g + 6. Let w be a(13). Let y(u) = -u**2 + u + 36. Let k be y(0). Calculate the highest common divisor of k and w.
36
Let b be ((-24)/(-16))/(3/8). Let x(g) = g**3 - 5*g**2 + 4*g - 1. Let t be x(b). Let k be -3 - t - (-38 - -7). What is the greatest common factor of 232 and k?
29
Let l be 2440/61*(-5)/8*-2. Calculate the highest common factor of 350 and l.
50
Let w = 54 - 51. Suppose 0*l = l - w. Calculate the highest common divisor of l and 3.
3
Let x(i) = i**2 + 8*i + 4. Let p be x(-7). Let z be p/(-3*3/15). Calculate the highest common factor of 2 and z.
1
Let d = 844 + -503. What is the highest common factor of 93 and d?
31
Suppose 2*p = 15*p - 2665. Suppose -5*x + p = q, -4*q + 101 = 5*x - 89. Calculate the greatest common factor of 14 and x.
14
Suppose 0 = -4*c + 3*o + 463, c + 12 = 4*o + 144. Let i = 2 + 12. What is the greatest common divisor of c and i?
14
Suppose 3129*r - 3118*r = 88. What is the greatest common divisor of r and 1688?
8
Suppose 0 = -4*v + 5*h + 504, v = 2*v - 4*h - 126. What is the greatest common factor of v and 9?
9
Suppose 13*o - 270 - 185 = 0. What is the highest common divisor of 14 and o?
7
Let j(y) = 8*y**2 + 13*y + 15. Let h be j(-6). Calculate the greatest common factor of h and 15.
15
Suppose 93 = 4*l - h, 8*l + 3*h = 4*l + 105. Calculate the greatest common divisor of 120 and l.
24
Let h = -2 - -3. Let d be (-18)/(-3) + 1*-1. Suppose 3*c - 8 - 3 = 4*v, -d*v + 10 = c. What is the greatest common divisor of h and v?
1
Suppose -5*g + 13*g = 16. Suppose g*n = -5*k + 318, 3*k - n = 150 + 43. Calculate the highest common divisor of k and 8.
8
Let d(a) = 2*a**2 + 37*a - 44. Let t be d(-20). What is the highest common divisor of t and 160?
16
Let l(m) = 3*m**2 + 8*m + 6. Let x be l(-6). What is the highest common divisor of x and 33?
33
Let u(r) = 137*r + 129. Let z be u(2). Calculate the highest common divisor of z and 13.
13
Let c be (5 - (2 - 0)) + -2. Let d be (13 + -14)*(-93 - c). Let f = -4
|
{
"pile_set_name": "DM Mathematics"
}
|
3*m wrt m?
120*m**3
Let x(v) be the first derivative of v**5/5 - 7*v - 9. What is the derivative of x(p) wrt p?
4*p**3
Find the third derivative of -m**4 - 3*m**2 - 3*m**2 + 9*m**4 + 5*m**2 wrt m.
192*m
Let j(u) be the second derivative of -u**8/336 + u**4/12 - u**3/6 + u. Let g(r) be the second derivative of j(r). What is the derivative of g(d) wrt d?
-20*d**3
Let g(u) be the first derivative of -2/3*u**3 - u**5 + 0*u**4 + 0*u - 7 + 0*u**2. What is the third derivative of g(k) wrt k?
-120*k
Let n(w) be the third derivative of w**9/60480 - w**6/180 - w**5/10 + 4*w**2. Let d(s) be the third derivative of n(s). What is the derivative of d(a) wrt a?
3*a**2
Let v(k) = -k**2 + 7*k - 10. Let t be v(3). Let d(h) be the first derivative of -t + 0*h**2 + 1/2*h**4 + h**3 + 0*h. Find the third derivative of d(q) wrt q.
12
Let x(l) be the second derivative of 0*l**5 + 0 + 0*l**2 - 6*l - 1/4*l**4 + 0*l**3 - 7/30*l**6. Find the third derivative of x(g) wrt g.
-168*g
Let h(i) be the first derivative of 0*i**5 - 1/7*i**7 + 0*i**4 + 3 + 0*i**2 + 1/3*i**3 + 0*i**6 + 0*i. What is the third derivative of h(m) wrt m?
-120*m**3
Let x(z) = -z. Let s = -1 - -3. Let g(m) = 3*m + 1. Suppose -2 = -5*f + 3. Let b(y) = f*g(y) + s*x(y). What is the first derivative of b(w) wrt w?
1
Find the third derivative of 0*t**2 - 6*t**2 - 10*t**2 + 18*t**3 wrt t.
108
What is the first derivative of 17*y**3 - 17*y**3 - 10 + 19*y**4 wrt y?
76*y**3
Let r(o) = 8*o**3 - 3*o - 5. Let j(w) = -7*w**3 + 1 + 4*w + 5 - 2*w**3. Let i(g) = 5*j(g) + 6*r(g). Find the second derivative of i(b) wrt b.
18*b
Let i be 188/28 - 2/(-7). What is the second derivative of -2 + 2 + 9*q**2 + 2*q - i*q**2 wrt q?
4
Suppose -5*d + 8 = -d. Suppose 10 = 4*b - 6, 4*z - d*b = 0. Find the second derivative of z*h + 2*h**2 + 0*h - 4*h wrt h.
4
Let s be 2/(-4)*-2 - -1. Suppose 0 = -l + 2. Find the third derivative of -q**5 - s*q**5 + 2*q**5 - q**2 + 0*q**l wrt q.
-60*q**2
What is the first derivative of 9*j**2 - 18 + 11*j**2 - 30*j**2 wrt j?
-20*j
Let n(i) be the second derivative of 33*i**5/20 - 13*i**3/6 - 8*i. Find the second derivative of n(q) wrt q.
198*q
Let q(h) = 1 - 2*h - 5 - 2*h + 3*h. Let d be q(-6). What is the third derivative of 3*p**3 + 3*p**d - p**3 - 4*p + 4*p wrt p?
12
What is the second derivative of 1 + 75*z - 2*z**3 + 63*z**3 - 66*z wrt z?
366*z
Let k be 4*((-10)/(-8))/1. Differentiate -1 - 1 - k*w**4 + 6*w**4 wrt w.
4*w**3
Let y be (-20)/(-6) - (-2)/3. Let n(b) = 2*b. Let z(h) = -h + 1. Let u(j) = y*z(j) + n(j). What is the derivative of u(f) wrt f?
-2
Let t(c) be the third derivative of c**5/15 + c**3/2 - 13*c**2. What is the derivative of t(l) wrt l?
8*l
Let r(j) be the first derivative of -3*j**6 - 3*j**2/2 - 8. Find the second derivative of r(v) wrt v.
-360*v**3
Let i(u) = -5*u - 30. Let c be i(-6). Let p(a) be the first derivative of 2/3*a**3 + c*a - 4 - a**2. What is the second derivative of p(j) wrt j?
4
What is the derivative of 46 - 32 + 4*p - 4*p - 14*p**3 wrt p?
-42*p**2
Let x(l) be the third derivative of 0*l**7 + 0*l**3 - 5/336*l**8 + l**2 + 0*l**4 + 0 + 1/20*l**5 + 0*l + 0*l**6. Find the third derivative of x(w) wrt w.
-300*w**2
Let t(s) = 4*s**5 - 5*s**4 - 2*s. Let b be 0 + -4 - 12/(-4). Let r(p) = p**5 - p**4. Let m(u) = b*t(u) + 5*r(u). What is the second derivative of m(a) wrt a?
20*a**3
Suppose 0*u + 1 = u + b, 0 = 3*u - 5*b - 3. Differentiate u + 1 + 0 + 1 - 2*w wrt w.
-2
Let r(w) = w - 1. Let a(c) be the second derivative of c**6/30 + c**3/2 - c. Let j(d) = -a(d) + 3*r(d). Differentiate j(s) wrt s.
-4*s**3
Let k be (-45)/54*(-4)/10. Let w(y) be the first derivative of k*y**3 + 0*y + 0*y**2 + 2 - 2/5*y**5 + 0*y**4. Find the third derivative of w(s) wrt s.
-48*s
Find the second derivative of 3*t**2 - t**2 + 57*t**5 - 3*t - 64*t**5 - 7 wrt t.
-140*t**3 + 4
What is the derivative of 2 + 30*p**2 + 0*p**2 - 5*p**2 - 12*p**2 wrt p?
26*p
Suppose 0 = v - 2 + 4, -2*v = 2*x - 2. What is the second derivative of -2*o - o - 2*o**5 + x*o**5 + 0*o wrt o?
20*o**3
What is the third derivative of -11*c**2 + 5*c**2 + 25*c**3 - 28*c**3 wrt c?
-18
Suppose 0 = 4*n - 6*h + h - 1, -3 = 3*n - 5*h. Let g = 8 - n. Find the third derivative of -5*w**2 - w**3 + 3*w**3 + g*w**2 wrt w.
12
Let s(b) be the first derivative of 7*b**6/6 - 5*b**3 - 3. Find the third derivative of s(p) wrt p.
420*p**2
What is the derivative of -1 - 5 + 18*d**3 - 24*d**3 wrt d?
-18*d**2
Let i(h) be the third derivative of 3*h**5/20 + 7*h**4/24 + 5*h**2. Find the second derivative of i(p) wrt p.
18
Let w = -8 + 19. Suppose -1 = 5*s - w. What is the second derivative of z**s + 0*z + z + 0*z**2 + 0*z**2 wrt z?
2
Let u(d) = -14*d**3 - 3*d**2 + 3*d + 12. Let o(j) = -j**3 - j**2 + j + 1. Let r(p) = -3*o(p) + u(p). What is the first derivative of r(i) wrt i?
-33*i**2
Suppose -2*d + 6 = -0*d. What is the second derivative of 0*w**4 + 0*w**4 + w - d*w**5 wrt w?
-60*w**3
What is the third derivative of -94*q**3 + 49*q**3 + q**5 + 4 + 8*q**2 + 49*q**3 - 4*q**5 wrt q?
-180*q**2 + 24
Let a(t) = -12*t**2 + 5*t - 4. Let r(d) = -18*d**2 + 8*d - 6. Let q(b) = 8*a(b) - 5*r(b). Differentiate q(x) wrt x.
-12*x
Let l be ((-15)/(-20))/(2/8). Let c(f) be the second derivative of 0*f**2 - 1/3*f**l - 2*f + 1/6*f**4 + 0. What is the second derivative of c(y) wrt y?
4
Let a(i) be the first derivative of i**7/30 + i**3/2 + 3*i**2/2 - 7. Let z(h) be the second derivative of a(h). What is the first derivative of z(l) wrt l?
28*l**3
Let i(u) = 7*u**2 - 7*u. Let g = -16 - -9. Let j(h) = 8*h**2 - 8*h. Let z(n) = g*i(n) + 6*j(n). What is the second derivative of z(p) wrt p?
-2
Let k(w) = 62*w**3 + 37*w + 5. Let n(t) = -31*t**3 - 18*t - 3. Let r(a) = 3*k(a) + 5*n(a). Find the second derivative of r(z) wrt z.
186*z
Suppose 0 = -3*q + 4 + 32. Find the second derivative of -2*l + q + 6*l - 12 - 4*l**5 wrt l.
-80*l**3
Suppose 0 = 5*u + p - 29, -2*u + 2*p = -2*p + 6. Suppose -u*l + 6 = -4. What is the third derivative of 4*i**5 + l*i**6 - 4*i**5 - 2*i**2 wrt i?
240*i**3
Let j(a) be the third derivative of 1/210*a**7 + 0*a**5 + 0*a**6 + 1/12*a**4 + 0 - 7*a**2 + 0*a + 0*a**3. Find the second derivative of j(h) wrt h.
12*h**2
Let o(v) = 3*v + 4. Let g(u) be the third derivative of -u**4/24 - u**3/3 + 3*u**2. Let f(h) = 9*g(h) + 4*o(h). Differentiate f(q) wrt q.
3
Let s(f) be the first derivative of 0*f + 0*f**3 - f**5 - 6 + 0*f**4 + 3/2*f**2. Find the second derivative of s(w) wrt w.
-60*w**2
Differentiate 1 + 37*h - 2*h + 6 - 16*h with respect to h.
19
Let p be 0 + (2 + -3 - -3). Differentiate 2*i**2 + 1 + 2*i**3 + 0*i**p - 2*i**2 with respect to i.
6*i**2
Let m(z) = z**2 + 8*z + 10. Let p = 5 - 12. Let w be m(p). What is the first derivative of 0 - 2 + 5 + 3*r**3 - 4*r**w wrt r?
-3*r**2
Find the second derivative of 2*j + 0*j - j - 2*j + 24*j**2 wrt j.
48
Let s(n) = -117*n**4 - n + 2*n + n**2 + 116*n**4. Let f(g) = 4*g**4 - 5*g**2 - 5*g + 11. Let i(u) = f(u) + 5*s(u). Differentiate i(d) with respect to d.
-4*d**3
What is the second derivative of -2*k**3 - k - k**3 + 10*k wrt k?
-18*k
Suppose 5*t = n - 0*n + 9, -t + 3 = n. Let b be (-4)/(-1) - 6/3. What is the first derivative of -b*s**3 + 0 + 3*s**3 - 3 + t*s**3 wrt s?
9*s**2
Let q(a) be the first derivative of a**8/560 + a**6/360 + a**3/3 + 2. Let n(v) be the third derivative of q(v). What is the third derivative of n(h) wrt h?
72*h
Let g = -5 + 9. What is the second derivative of -5*f**4 + f**5 + 5*f**g + f + 5*f wrt f?
20*f**3
Find the third derivative of -2*p**2 - p**4 - 9*p**3 + 9*p**3 wrt p.
-24*p
Let a be 0*(-4)/(-8)*2. Let d(s) be the third derivative of a*s**5 + 0*s + 0*s**4 + 4*s**2 - 1/3*s**3 + 1/30*s**6 + 0. Differentiate d(u) wrt u.
12*u**2
Suppose 3*l - 4*f = 14, 5*l - 12 - 2 = 2*f. What is the first derivative of 2*d**l - 1 + 2 - 4 wrt d?
4*d
What is the third derivative of -85*q**5 + 87*q**5 + 41*q**2 - 7*q**2 + 9*q**6 wrt q?
1080*q**3 + 120*q**2
Suppose 3*m + 2*m + 5 = 0. Let j = 1 - m. What is the first derivative of -1 - 3 + 6 - 2*p**j wrt p?
-4*p
Let r(b) be the third derivative of -b**9/84 - b**5/12 + 7*b**2. What is the third derivative of r(g) wrt g?
-720*g**3
What is the second derivative of 5*f**4 + 0*f + f**4 - 14*f wrt f?
72*f**2
Let t be -5*((-1 - 2) + 2). What is the third derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
(-24)/156. Let v(o) = 24 + 13*o + 5 - 19 + 6. Calculate l*w(a) - 2*v(a).
2*a + 3
Let j(f) = -9*f + 327. Let l(k) = -11. What is -j(n) + l(n)?
9*n - 338
Let a(s) = -7002*s**2 + 4*s + 15. Let n(q) = -3*q**2 + q + 3. Determine -a(b) + 5*n(b).
6987*b**2 + b
Let q(j) = -3*j + 27. Let c be q(10). Let m = -31 - -37. Let n(s) = -2*s**2 - 2 + m*s**2 - 4*s - s + 0. Let i(f) = -f**2 + f + 1. Determine c*i(y) - n(y).
-y**2 + 2*y - 1
Let f(i) = 96*i**2 - 3*i + 5. Let d(n) = 95*n**2 - 3*n + 7. Give -5*d(a) + 6*f(a).
101*a**2 - 3*a - 5
Let o(k) = 10*k - 4. Let z(a) = 2*a. Let y(j) = o(j) - 6*z(j). Let g(t) = -t + 1. What is 3*g(p) + y(p)?
-5*p - 1
Let d(p) = -6286*p**3 + 98*p**2 - 98. Let f(s) = -262*s**3 + 4*s**2 - 4. Calculate -6*d(t) + 147*f(t).
-798*t**3
Let p(m) = -14*m**2 - 18*m - 26. Let d(w) = 6*w**2 + 11*w + 14. What is 7*d(b) + 4*p(b)?
-14*b**2 + 5*b - 6
Let g(y) = -y + 3. Let r(f) = 3*f + 8. Let x(n) = 3*g(n) - r(n). Suppose 4 = p - 5*p. Let v(b) = -b + 1. Give p*x(j) + v(j).
5*j
Let z(x) be the first derivative of -x**2/2 - x - 433. Let h(o) = -4*o**3 - 16*o - 16. Calculate -5*h(n) + 80*z(n).
20*n**3
Let w(j) = -191*j + 8. Let m(p) = 127*p - 6. What is -8*m(a) - 5*w(a)?
-61*a + 8
Let k(j) be the second derivative of 3*j**5/10 + j**3 + 4*j**2 + 105*j + 8. Let a(z) = 2*z**3 + 2*z + 3. Give -16*a(s) + 5*k(s).
-2*s**3 - 2*s - 8
Let g(r) = -r**2 - 1. Let m(v) = 8*v**2 + v - 7. Let q(x) = 35*x**2 + 4*x - 31. Let a(h) = 26*m(h) - 6*q(h). Calculate -a(s) - 5*g(s).
7*s**2 - 2*s + 1
Let q(v) = -2*v**2 - 2*v**2 + 0 + 5. Let s(j) = 9*j**2 - 10. Let u(p) = p**2 - 96*p + 1145. Let y be u(14). Give y*s(r) - 7*q(r).
r**2 - 5
Let s(a) = 128792*a**3 - 952*a**2 - 1904*a. Let o(l) = 810*l**3 - 6*l**2 - 12*l. What is -476*o(w) + 3*s(w)?
816*w**3
Let g = -12539 - -25079/2. Let v(i) be the first derivative of -i + g*i**2 - 4. Let a(m) = -m**3 + m - 1. What is 3*a(l) - 3*v(l)?
-3*l**3
Let p(z) = -7*z**3 + 10*z**2 + 3*z - 7. Let u(k) be the first derivative of -3*k**4/2 + 3*k**3 + 3*k**2/2 - 6*k - 5045. Give 4*p(o) - 5*u(o).
2*o**3 - 5*o**2 - 3*o + 2
Let y(c) = 1. Let j(t) = -43*t - 38. Let u(f) = -43*f - 45. Let m(d) = 6*j(d) - 5*u(d). Give -m(a) - 3*y(a).
43*a
Let s(x) = -3*x**3 - 3*x**2 + x. Let c(o) = -7329*o**3 - 18*o**2 + 8*o. Give -c(y) + 6*s(y).
7311*y**3 - 2*y
Let j(b) = -16*b**3 + 7*b**2 - 8*b + 1. Let p(u) = 34*u**3 - 15*u**2 + 17*u - 1. Calculate 13*j(s) + 6*p(s).
-4*s**3 + s**2 - 2*s + 7
Let h(y) = -2*y - 419. Let r(c) = 3*c + 428. Determine -4*h(j) - 3*r(j).
-j + 392
Let n(w) = -42*w + 36. Let p be (913/(-55) - -17) + (-9)/(-15). Let u(y) = y - 1. What is p*n(d) + 36*u(d)?
-6*d
Let b(t) = 3*t - 8. Let s(o) = 12 - 18 - 9 + 5*o. Let r(z) = z**3 + 11*z**2 - 41*z + 10. Let u be r(-14). Determine u*s(x) + 7*b(x).
x + 4
Let c(b) = -2*b + 7. Let w(r) = -100. Let m(x) = 201. Let i(z) = -m(z) - 2*w(z). Give -c(o) - 6*i(o).
2*o - 1
Let w(s) = -16*s + 40. Let p(g) be the third derivative of -g**4/8 + 4*g**3/3 + 1158*g**2. Give 11*p(k) - 2*w(k).
-k + 8
Let u(t) = 2*t. Let x(v) = v**2 - 6*v + 6. Let z be -1*(-2)/(-3)*-6. Let j be x(z). Let w(a) = -2*a - 1. Let i = -163 + 160. Determine i*u(d) + j*w(d).
-2*d + 2
Let l(n) = 1311*n**2 - 95*n. Let a(x) = -41*x**2 + 3*x. Suppose -204 = 74*s + 18. Determine s*l(k) - 95*a(k).
-38*k**2
Let o(q) = 197*q + 1. Let c(g) = -986*g + 3. Let p(u) = -c(u) - 5*o(u). Let t(x) = 2*x - 15. Let n(y) = y**3 + 7. Let a be n(0). Give a*p(m) - 4*t(m).
-m + 4
Let b(x) = 7715*x - 51. Let o(v) = 2573*v - 18. Calculate -6*b(a) + 17*o(a).
-2549*a
Let b(n) = 2*n**2 + 9*n + 2. Let t(v) = -2156*v**2 + 180*v + 36. Determine 20*b(u) - t(u).
2196*u**2 + 4
Let x(i) = i**3 + 1213*i**2 + 8. Let s(y) = 15*y**3 + 19407*y**2 + 132. Calculate 2*s(b) - 33*x(b).
-3*b**3 - 1215*b**2
Let u(g) = 23*g**3 + 385*g**2 - 23*g + 23. Let l(a) = -8*a**3 - 129*a**2 + 8*a - 8. Give 17*l(p) + 6*u(p).
2*p**3 + 117*p**2 - 2*p + 2
Let z(x) = 1. Let d(m) = -9*m - 9. Let g(w) = -29*w - 29. Let l = -170 + 163. Let t(v) = l*d(v) + 2*g(v). What is -t(o) + 4*z(o)?
-5*o - 1
Let f(a) = -35*a + 25. Let v(r) = -13*r + 8. Let z(j) = 4*f(j) - 11*v(j). Let o(q) = 4*q + 12. Determine -4*o(g) + 5*z(g).
-g + 12
Let n = 57 - 18. Suppose -n*r + 33 = -36*r. Let m(x) = r*x**2 + 12*x**2 - 3*x - 25*x**2 + 4. Let k(f) = -2*f**2 - 4*f + 5. What is -2*k(v) + 3*m(v)?
-2*v**2 - v + 2
Let p(m) = -m. Let b(i) = -929*i + 1892*i - 939*i. Calculate -5*b(g) - 105*p(g).
-15*g
Suppose 0 = 350*o - 109 - 134 - 107. Let l(h) = h**2 - h + 2. Let u(b) = b**2 + b + 1. Determine o*l(n) - 2*u(n).
-n**2 - 3*n
Let y(z) = -z**3 + 1. Let l(m) = 10*m**3 + 3*m**2 + 8. Determine -2*l(t) - 18*y(t).
-2*t**3 - 6*t**2 - 34
Let c(f) = -61*f**2 + 81*f - 8. Let y(b) = 183*b**2 - 244*b + 22. Give 11*c(x) + 4*y(x).
61*x**2 - 85*x
Let i(u) = 12*u - 37. Let t(w) = 3*w - 9. Let h = 848 + -850. Calculate h*i(x) + 9*t(x).
3*x - 7
Let k(n) = -60*n - 12. Let j(c) = -3*c - 2394 - 2387 - 2394 - 21*c + 7170. Calculate -12*j(r) + 5*k(r).
-12*r
Let y be (86 - 79) + (0/(-2) - 1). Let u(r) = -7*r**3 + 6*r**2 - 2. Let m(a) = -20*a**3 + 17*a**2 - 6. Calculate y*m(s) - 17*u(s).
-s**3 - 2
Let u(t) = -t - 8. Let a(h) = -1. Let i = 17568 + -17550. Calculate i*a(d) + 2*u(d).
-2*d - 34
Let j(v) = -15209 + 15209 - 25*v. Let i(l) = -324*l. Determine 2*i(o) - 27*j(o).
27*o
Let j(s) = -52*s + 13. Let d be 3*60/(-135) + (-86)/(-6). Let v(w) = 13*w - 3. Give d*v(c) + 3*j(c).
13*c
Let h(b) = -16*b. Let o(x) = 144*x. Let z(a) = 28*h(a) + 3*o(a). Let c(v) = -17*v. Give -4*c(d) + 6*z(d).
-28*d
Let y(k) = -90*k**2 - 192*k - 40. Let c(m) = -m**2 + 16*m + 2. Let a(l) = 12*c(l) + y(l). Let b(p) = -34*p**2 - 5. Determine -5*a(q) + 16*b(q).
-34*q**2
Let p(z) = -2429*z - 3. Let n(i) = 15654909*i + 19336. Determine 3*n(y) + 19336*p(y).
-2417*y
Let c(w) = -4*w**2 - 3*w + 2. Let o(l) = -5*l**2 - 1. Let s(t) = c(t) + 2*o(t). Let h(u) = 28*u**2 + 7*u. Determine -3*h(a) - 7*s(a).
14*a**2
Let z be 5/(-10) + (-49)/(-2). Let h = z - 23. Let v(s) = -s + 1. Let d(j) = -5*j - 3 + 5*j - 2*j. What is h*d(m) + v(m)?
-3*m - 2
Let m(q) = -5*q**2 + 7*q + 6. Let g(c) be the first derivative of 21 + 1/3*c**3 - c - 1/2*c**2. Determine 6*g(h) + m(h).
h**2 + h
Let k(a) = 16*a**2 - 149. Let q(g) = -g**3 - 4*g**2 + 24*g + 32. Let r be q(-7). Let c(w) = 3*w**2 - 30. Determine r*c(y) - 2*k(y).
y**2 - 32
Let b(g) = -10536*g**2 + 18*g - 36. Let s(u) = -7196088*u**2 + 12292*u - 24584. What is 6146*b(d) - 9*s(d)?
10536*d**2
Let m(g) be the third derivative of g**4/6 + g**3/6 + 8*g**2. Let t(w) be the first derivative of -27 + 1/2*w**2 + 0*w. Give -2*m(f) + 9*t(f).
f - 2
Let m(a) = 2*a + 4. Suppose 0 = 9*z + 74 - 992. Let c(n) = -133*n - 21 + 21*n + z*n. Give -2*c(b) - 11*m(b).
-2*b - 2
Let o(t) = -45*t + 3255. Let z(i) = 157*i - 9766. What is 7*o(g) + 2*z(g)?
-g + 3253
Let f(m) = 79*m + 231. Let w be f(12). Let c(g) = -1175 - 2*g**2 - w + 2336. Let n(u) = 1. Determine c(i) + 12*n(i).
-2*i**2 - 6
Let n(s) = 6*s**2 + 5*s + 6. Let z(r) = -r**2 + r + 1. Suppose 41 = -47*j + 6*j. What is j*n(p) + 6*z(p)?
-12*p**2 + p
Let b(k) = 3*k + 2. Let a(p) = 5*p + 3 + 5*p - 7*p + 3*p. Let l be a(1). Let j(d) = l*d - 15*d + 1 + 0 - 5. Give 11*b(m) + 6*j(m).
-3*m - 2
Let f(m) = m - 8. Let x(b) = 5*b - 31. Let c = -6257 - -6248. Give c*f(h) + 2*x(h).
h + 10
Let j = -3155 - -3154. Let y(n) = -25*n - 20. Let z(x) = -1. Give j*y(w) + 20*z(w).
25*w
Let j(v) = 8*v**3 + 54*v**2 - 267*v + 25. Let m(g) = 2*g**3 + 13*g**2 - 67*g + 6. What is -6*j(x) + 25*m(x)?
2*x**3 + x**2 - 73*x
Let u(p) = -p**2 + 4*p. Let x(c) = c**2 - 4*c. Suppose -37*y - 3033 = -3255. What is y*x(a) + 5*u(a)?
a**2 - 4*a
Let k(a) = -2312*a**3 + 2*a**2 + 7*a - 2. Let u(g) = 9240*g**3 - 8*g**2 - 31*g + 9. Calculate 9*k(s) + 2*u(s).
-2328*s**3 + 2*s**2 + s
Let j(l) = l**3 - 2*l**2 - 4*l + 3. Let k = 165 - 159. Let i(g) = -k*g - 3*g - 5*g**2 + 2*g**3 - 14 + 21. Calculate 6*i(d) - 14*j(d).
-2*d**3 - 2*d**2 + 2*d
Let n(t) = 737*t - 335. Let x(p) = 5*p - 5. Calculate n(i) - 67*x(i).
402*i
Let n(h) = h - 3. Suppose -5*s = -p - 5, -4*s + 10 = p - 3. Let g(j) = j**s - 23 + 15 + 9 + 0*j**2. Give -2*g(l) - n(l).
-2*l**2 - l + 1
Suppose -90 = -26148*w + 26139*w. Let q(h) = 110*h**2 + 10*h - 10. Let b(i) = 37*i**2 + 3*i - 3. What is w*b(c) - 3*q(c)?
40*c**2
Let l(s) = s**2
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{
"pile_set_name": "DM Mathematics"
}
|
Let h = 2647/26 + -102. Is w <= h?
False
Let u be 10*(0 + (-6)/15). Let v be -1589 - u/(6/(-3)). Let m = -6413/4 - v. Which is bigger: m or -11?
-11
Let o = 6/24617 - 1477782/3126359. Which is smaller: 0 or o?
o
Suppose b = 45 + 89. Let r = b + -124. Is 9 less than r?
True
Let i = 31755 + -32417. Which is smaller: i or -648?
i
Suppose 56*j = 53*j - 9, z - 33 = j. Is 0.039 at most as big as z?
True
Let o(h) = h**2 - 5*h + 8. Let r be o(3). Suppose 2*k - r = 3*k. Let y be ((-2559)/(-639) + -4)*k. Which is bigger: -1 or y?
y
Let x be 18/(-24) - (-25 + 15). Which is smaller: x or 4?
4
Suppose 10*u = 36*u - 12350. Let j = 492 - u. Is j greater than or equal to 125/7?
False
Let g = -26.18 - 61.73. Let j = 88 + g. Which is smaller: j or -0.18?
-0.18
Let t be ((11/33)/(9 + -8))/((-98)/78). Which is smaller: t or -1?
-1
Let n be (-58*(-1 - -2))/(486/(-6075)). Is 726 != n?
True
Let i = -31.03 + 30.9379. Is -2/3 at most i?
True
Let i(p) = -10*p**2 + 402*p - 150. Let c be i(40). Which is greater: c or 2/11?
2/11
Let k = 48510 - 84728. Is k greater than -36217?
False
Suppose -5*w - 35 = 0, -4*x - 2*w - 472 - 294 = 0. Let r be ((-566)/5)/(3/5). Which is smaller: x or r?
r
Let b = 27434/3 + -9064. Let t(m) = m**2 + 44*m + 260. Let r be t(-10). Let f = r + b. Is f < 1?
True
Let t(a) = -a**3 + 44*a**2 + 87*a + 215. Let q be t(46). Which is greater: -21 or q?
q
Let v = 87 + -87. Suppose 15*p = 8*p + 28. Let c be -10*(132/(-32) + p). Is c > v?
True
Let n = -110 + 115. Let j be (4/10)/((-8)/n). Is j less than -2/3?
False
Let m be 16/12*(3 + (-298917)/56937) + 3. Do -1 and m have the same value?
False
Let t(h) = 45*h**2 - 625*h - 27. Let o be t(12). Is o greater than -1047?
False
Let z = 65874.1 + -65874. Let f = 7333/752 + -1/752. Which is bigger: z or f?
f
Let z be (-2)/(-3)*(-206 - 37). Let g = 120 + z. Let y be (0 + 1)/(1/(-43)). Which is greater: g or y?
g
Let p(a) = -4*a + 16. Suppose 2*n - 4*i = 0, n - 1 = 3*i - 0*i. Let u = 3 - n. Let x be p(u). Is -5/2 greater than x?
True
Let r = -0.121 + -118.879. Let v = r - -118. Which is smaller: -122 or v?
-122
Let x = 2 - 2. Let f = 412794/14245 + -1072/37. Is f at least as big as x?
True
Suppose 367 = 4*a - d - 737, -5*a - 4*d = -1401. Suppose 8*s - 419 - a = 0. Are 86 and s equal?
False
Let m be 53/(-106)*11876/87138. Let d = m + 4/927. Which is smaller: 0 or d?
d
Let z be (0 - -1) + (29 - (-493)/(-17)). Is z not equal to 33/112?
True
Let l = -13.08 + -1.62. Let t = -14.6 - l. Which is greater: -55 or t?
t
Let r = -11 + 12. Let s be -21 + 2/r - (1 - 3). Suppose a + 2*a - 5*z + 71 = 0, 0 = 2*z - 8. Is s bigger than a?
False
Let p = -145 + 144. Let q = 5/21 - 4/7. Is q at least as big as p?
True
Suppose 175*m = 340356 + 432911 - 129792. Is m at least 3677?
True
Suppose -279*f = -273*f + 36. Let l(m) = -9*m - 40. Let h(y) = -8*y - 41. Let t(p) = 5*h(p) - 4*l(p). Let r be t(f). Is r smaller than 1?
True
Suppose 4*u - 4 = 4*m, 0 = -m + 3*m + 3*u - 8. Let i be 10/(m - (-2)/(-4)). Let k = 29061 - 29042. Do i and k have different values?
True
Let x be (-5)/(-1) + -1 + 753/(-188). Let y = -11 - -11. Do y and x have different values?
True
Let u(s) = 5*s + 16. Let f be u(4). Let j be (f/12)/((-2)/(-36)). Suppose -12*z + 3*z - j = 0. Which is smaller: z or -0.1?
z
Let w = -37.473 - -37.7. Let b = w - -1.773. Is 17 at least b?
True
Let l = -39.7841 - 0.1659. Let u = -40 - l. Let d = -5.009 + 0.009. Which is smaller: u or d?
d
Let a = -71.72 - -72. Let k = 0.5 - a. Which is greater: 0.2 or k?
k
Let h = -46416493/49784 + -108/6223. Let s = h - -932. Is 19 <= s?
False
Let d(x) = x**2 - 4*x - 1. Let p be (-4)/22 + (-184)/(-44). Let z be d(p). Let o be (-1 + (-2 - z))*37/185. Which is bigger: o or -3/8?
-3/8
Suppose -2*c = -238 - 410. Let x be (-108)/c + ((-860)/6)/2. Is x greater than -72?
False
Let f(l) = 33*l + 1653. Let o be f(-65). Is 2/5 <= o?
False
Let k(o) = -o**2 - 54*o - 433. Let i be k(-41). Which is smaller: i or 599/6?
599/6
Suppose -3*f = 5*l + 4188, -l - 1455 + 623 = -5*f. Which is smaller: 20 or l?
l
Suppose -5*v + 40 = 2*g, 0*v + 5*g = -2*v + 37. Let l be (18/(-8))/(v/16). Which is greater: l or -34/7?
-34/7
Let h = 221 + -74. Let y be h/70 - 9/6. Which is bigger: 66 or y?
66
Let w(s) = -3*s + 25. Let u be w(8). Let l be 1362/1092 - 4/14 - u. Let q = 50 - 49. Is q at most as big as l?
False
Let y = 321 - 314. Suppose -7 = y*d + 98. Does -2/5 = d?
False
Let x(q) = -q - 8*q + 15*q - 9. Let v be x(3). Suppose -u - 4*c + v = -12, 5*c = 3*u + 22. Is u <= 19?
True
Let k = -24.63 + 3.95. Let n = k - -22.9. Let l = 0.22 - n. Does l = -0.1?
False
Suppose -83 = 26*t - 291. Let b(z) = z**3 - 10*z**2 + 12*z - 33. Let r be b(t). Which is smaller: r or -67?
-67
Suppose x = 4*p - 2 - 6, 2*p - 4 = 3*x. Let i be ((-40)/(-140))/(14 + -307). Is i smaller than x?
True
Let o = -1743 - -1725. Which is bigger: o or -63?
o
Let o be 40/35 + 2 + (-336848)/56. Is -6009 at most as big as o?
False
Suppose -2*u - 635 = s - 583, 0 = 4*s - 5*u + 169. Which is smaller: 98 or s?
s
Suppose -n + 0*n = -4*c - 32, -8 = 2*n + c. Let h be 78/145 + (-6)/15. Which is smaller: n or h?
n
Suppose -24 = -2*x + 8. Suppose 3*h + 20 = -a + 6*a, 4*h + 4*a - x = 0. Suppose -3*i + h = 3. Is i > 1/38?
False
Suppose -25*n + 2*n = -1380. Suppose 5*b = -5*i - n, 9*b + i + 25 = 7*b. Is b greater than or equal to -1?
False
Let j be -3642*((-4)/4)/6. Let v = j - 526. Is 78 greater than v?
False
Let c = -553/1980 - -5/396. Which is bigger: -75 or c?
c
Let q(g) = 286*g**3 + g**2 + g - 1. Let o be q(-1). Let i = o + 288. Which is smaller: i or 0.088?
0.088
Let p = 4964 + -4977. Let a = -2.02 + 0.02. Let v = -1.7 - a. Does v = p?
False
Let t = 107 - 5353/50. Let s be -13 - (4 + -17)*1. Is t != s?
True
Let o(i) = 24*i**3 + 7*i**2 + 119*i - 143. Let h be o(10). Which is greater: h or 25748?
25748
Suppose l - 2 = 417*z - 416*z, z = -4*l - 7. Which is smaller: z or -1212?
-1212
Let n be 66/14 + -1 + 42/147. Suppose -3*g = -5*c - 9 + 26, -n*c + 21 = 5*g. Suppose 44 = -c*l - 64. Is -26 at most as big as l?
False
Let a = -0.13 - 7.87. Let c be (-34072)/237120*-3 - (-9)/24. Let y = 3/494 - c. Is a at least y?
False
Let w(b) = b**2 + 19*b - 202. Let i be w(-34). Let k = 290 - i. Which is bigger: -17 or k?
-17
Let c = -4041 + 4022. Let f be (-6 + 4)/(2/6). Let n(u) = -u**2 - 3*u + 1. Let t be n(f). Which is greater: t or c?
t
Let x be (-126)/1431*-7 + (-4)/12. Is x > 1?
False
Let m = 4506 - 4510. Is m bigger than -8/13?
False
Let i = 269 + -266. Suppose -i*u - 87 + 333 = 0. Is u at least 77?
True
Let n = 7/128013 - 1036137299/1408143. Which is smaller: -737 or n?
-737
Let q(m) = 4*m**3 + 221*m**2 + 107*m + 174. Let h be q(-55). Is h not equal to -2686?
False
Suppose 44 = 55*g - 51*g. Let y = -1 + 6.1. Let s = 0.1 - y. Which is greater: g or s?
g
Let l(m) = 112 - 8*m - 9*m - 163. Let x be l(-6). Is 0.3 at most x?
True
Let n = -1954235/2101344 - -2811/3304. Let b = 7/96 + n. Which is bigger: b or 1?
1
Let c = 306.02 + 82.98. Which is smaller: -7 or c?
-7
Let h = 33629/4425 + 1/4425. Which is smaller: 11 or h?
h
Suppose -5*s + 10 = 2*i + 3*i, 3*s - 16 = 2*i. Suppose -4*t + k - 1 = 0, -k + 5*k = -t + s. Let n be 3 - 0 - (-32)/(-10) - t. Which is greater: n or 1?
1
Let o(s) = s**2 + 6. Let k be o(0). Let r be k/15 - (-1089)/15 - 2. Is r bigger than 71?
False
Let t be (-1)/(525/33) + -5 + (-288)/(-56). Is 48 less than or equal to t?
False
Let k = -97 + -128. Suppose 0 = -28*r + 32*r + 2*i + 892, -4*r = 6*i + 876. Is r >= k?
True
Suppose 2*l + 16 = -78. Let b = 27692 + -27740. Is l < b?
False
Let l = -4.091 - 0.169. Let w = 5.26 + l. Is 260 >= w?
True
Let u = -737.09 - -16.09. Let o = u - -720.8. Is -72 at most as big as o?
True
Suppose -3*t + 20 = -4*i, 5*t - 13 = i + 9. Suppose 5*p - 3*m = m + 30, 3*m + 7 = -t*p. Suppose -p - 10 = 12*q. Which is smaller: q or 0.104?
q
Let d = 7.47 + -7.8. Let b = 2.1 + -3.97. Let j = b + d. Do 1 and j have the same value?
False
Suppose 484 - 199 = 19*u. Suppose 79 = u*o + 64. Let h be -1 - ((-36)/(-34))/(-1). Which is smaller: h or o?
h
Let c = -2585 + 2587. Which is greater: c or -1.802?
c
Let c(q) = q**3 - 7*q**2 - 10. Let t be c(7). Let m(s) = -s**3 - 5*s**2 + 21*s - 8. Let i be m(-8). Let o be (i/10 + -2)*t. Which is greater: 9 or o?
9
Let y be (-
|
{
"pile_set_name": "DM Mathematics"
}
|
171)*4 - sqrt(171)))/sqrt(9) + 5)**2.
300*sqrt(19) + 17125
Simplify (-6*1*(1 + -2*sqrt(128))*1)**2.
-1152*sqrt(2) + 18468
Simplify (1*(3*sqrt(7) + -1))**2 - (2*-1*sqrt(1008))**2.
-3968 - 6*sqrt(7)
Simplify (((6*sqrt(416)*-2)/sqrt(8))/((sqrt(140)/sqrt(5))/sqrt(7)*3))**2.
208
Simplify -6*(sqrt(880)*1*-3)/(1*(sqrt(1331) - (1*sqrt(1331) + sqrt(1331)) - sqrt(1331))).
-36*sqrt(5)/11
Simplify 6*(sqrt(153) + ((sqrt(153) - (sqrt(153) - (1 + sqrt(153))))*2)**2 - (-4 + 2*sqrt(272))).
114*sqrt(17) + 3720
Simplify 3*(sqrt(243)*1)**2 + -2 + 4 + (-2*sqrt(3)*6 - -3*(sqrt(3) - (sqrt(3) - sqrt(48)))).
731
Simplify (sqrt(1368) - (sqrt(1368) + sqrt(1368) + 1*sqrt(1368)*1))/(sqrt(200)*-1*-2 + sqrt(200) + sqrt(200)).
-3*sqrt(19)/10
Simplify (sqrt(891)*-1 + sqrt(891) + (sqrt(11) - (1 + sqrt(44) + sqrt(11))) - (sqrt(55) - -3*sqrt(165)/sqrt(3))/sqrt(5))**2.
12*sqrt(11) + 397
Simplify -1*(-2 + ((sqrt(16) + sqrt(784)*-1)/((sqrt(8) + sqrt(392))*2))**2).
55/32
Simplify (1 + -2 + sqrt(208))**2 - (3 + sqrt(1300) + 2).
-18*sqrt(13) + 204
Simplify (((sqrt(152) + sqrt(152) + (sqrt(152) - 5*sqrt(152)*-2) - sqrt(152)) + sqrt(152))/(sqrt(8) + 5*sqrt(128) + sqrt(128))*-1*6)**2.
115596/625
Simplify 5 + ((-1 + sqrt(108))*-4 - (-2*sqrt(108) + -2))**2 + -3.
-144*sqrt(3) + 470
Simplify 2*(-4 + (sqrt(500)*-4 - (-3*sqrt(320) + sqrt(5)))).
-34*sqrt(5) - 8
Simplify (sqrt(660)/(sqrt(11)*5 + sqrt(11)))/(sqrt(300)*2).
sqrt(5)/60
Simplify -5*(sqrt(198)/(sqrt(90)/(sqrt(10)*1)))/(1*sqrt(539)*4 - sqrt(539)).
-5*sqrt(2)/21
Simplify ((sqrt(143) - (sqrt(143)*-2 - sqrt(143)))*3 + -2*sqrt(143)*2)/((sqrt(1584) - sqrt(1584)*1)*-5 + sqrt(1584)).
2*sqrt(13)/3
Simplify (-6*(4*sqrt(88)*-1 + sqrt(88)))/(sqrt(24)/(sqrt(3)*-2 - sqrt(3))*5).
-54*sqrt(11)/5
Simplify (-3 + (sqrt(35) + sqrt(105)/(sqrt(33)/sqrt(11)))/((-5*sqrt(84))/sqrt(12)))**2.
12*sqrt(5)/5 + 49/5
Simplify -2*((1 + sqrt(405))*-4 + (sqrt(405)*2)**2 + sqrt(405) + -5) + -2.
-3224 + 54*sqrt(5)
Simplify (5*2*sqrt(114))/(sqrt(6) - sqrt(96)*2)*6*2*-4.
480*sqrt(19)/7
Simplify -2 + ((1*(sqrt(108) - 2*sqrt(108) - sqrt(108) - sqrt(108)))/sqrt(6))**2.
160
Simplify (1 + (1 + -1*sqrt(891) + sqrt(891) + sqrt(891) - (sqrt(891) - (sqrt(891) - -2*sqrt(891)*-3) - sqrt(891)) - (-4 + 2*sqrt(891)*2)))**2.
-864*sqrt(11) + 57060
Simplify (4*sqrt(77)*-2)/(sqrt(11) + (sqrt(55) - sqrt(1980))/sqrt(5)).
2*sqrt(7)
Simplify ((-4*sqrt(1728)*-1)/(sqrt(40)/(1*sqrt(10))*-2))**2.
1728
Simplify ((sqrt(325) - (sqrt(325) + 1)) + -1 + 1 + -1 + sqrt(325) + sqrt(325) + -4)**2 + -5 + -4.
-120*sqrt(13) + 1327
Simplify (sqrt(85) + (sqrt(85) - 3*sqrt(85)*-1))/(5*sqrt(15)/sqrt(3)).
sqrt(17)
Simplify 0 + sqrt(20) + -1 + sqrt(245) - (sqrt(5) + sqrt(25)/sqrt(5) + -2 + -4)**2.
-57 + 33*sqrt(5)
Simplify (-6*(3*sqrt(84)*1 + sqrt(84)))/(sqrt(36)/(sqrt(24)/sqrt(72))).
-8*sqrt(7)
Simplify 2*(((sqrt(216)*-2)/sqrt(12))/sqrt(9) + (sqrt(648) - (1 + sqrt(648) - sqrt(648)))**2).
-76*sqrt(2) + 1298
Simplify sqrt(57)/((sqrt(18)/sqrt(3))/sqrt(2)) - (sqrt(133)/sqrt(63) - (sqrt(171)*-1 - sqrt(171))).
-16*sqrt(19)/3
Simplify (-4 + 3 + (4*(-1 + sqrt(832)) + -1)*-5)**2.
-7680*sqrt(13) + 333376
Simplify ((sqrt(72)/sqrt(4))/sqrt(6) - (sqrt(75) + 2))**2 - (sqrt(231)/(sqrt(7)*-3) + sqrt(33))/sqrt(11).
46*sqrt(3)/3 + 52
Simplify sqrt(882)*-2 - ((sqrt(98) - (sqrt(98) + sqrt(98) + -2)**2) + sqrt(98) + 5).
-112*sqrt(2) + 391
Simplify (5 + -4 + 0 + (sqrt(19) - (-4 + 1 + sqrt(19))**2 - (-2*sqrt(171))/sqrt(9)))*-1.
-9*sqrt(19) + 27
Simplify (5*sqrt(132)*-3)/(sqrt(12)*-5*2).
3*sqrt(11)/2
Simplify (5 + 1 + sqrt(539) + sqrt(539) + sqrt(539) + -1 + -1)**2*5*-4.
-97340 - 3360*sqrt(11)
Simplify -4*4*(sqrt(14)/sqrt(2)*5 + 5)*-4.
320 + 320*sqrt(7)
Simplify (-3*6*sqrt(99)*-3)/(-1*sqrt(9)*-4*-5).
-27*sqrt(11)/10
Simplify (2 + 1*(sqrt(152)*-1*2 - sqrt(152))/sqrt(8))**2.
-12*sqrt(19) + 175
Simplify -6*(-5*-3*sqrt(18))/(sqrt(4374)/sqrt(6))*2.
-20*sqrt(2)
Simplify ((sqrt(448) + 5*(1 + sqrt(448) - sqrt(448)) - (1 + sqrt(448)*-2 + sqrt(448))) + 6*(-2 + sqrt(448))*4)**2.
-18304*sqrt(7) + 304784
Simplify (-3*sqrt(77)/(sqrt(7) - (sqrt(1008)*-2 + sqrt(1008))) + 2*(sqrt(11) + sqrt(99) + -5 - (sqrt(1100) + 0)))**2.
3180*sqrt(11)/13 + 294991/169
Simplify (((-1*(sqrt(196) + sqrt(196)*-1) - sqrt(196))/sqrt(4))/(sqrt(56)/sqrt(72) - (sqrt(252) + sqrt(252)*1 + sqrt(252))) + 3)**2.
18*sqrt(7)/53 + 25344/2809
Simplify ((-6*2*sqrt(88))/sqrt(8) + ((sqrt(99)*-2)/sqrt(9) - sqrt(11))*2)**2*5.
17820
Simplify (-3 + sqrt(1100) + sqrt(704) + -5)**2*-2.
-7256 + 576*sqrt(11)
Simplify 4*(sqrt(275) - (sqrt(275) - (sqrt(275) + 2 + 3))) + -2 + 0.
18 + 20*sqrt(11)
Simplify ((sqrt(800) - sqrt(800)*-3) + sqrt(800))/(2*sqrt(4)*-6).
-25*sqrt(2)/6
Simplify sqrt(9)/((sqrt(30)/sqrt(5))/sqrt(2)) + -5*(2 + sqrt(300)).
-49*sqrt(3) - 10
Simplify -5*(-6*(sqrt(22)/sqrt(2))**2 + ((sqrt(132) + 1*sqrt(132))/sqrt(12) + sqrt(11))**2)*-3.
495
Simplify (4*(4 + sqrt(44) + sqrt(44)*-1 - 2*(2 + sqrt(11) + sqrt(44)/sqrt(4) + sqrt(11))))**2.
6336
Simplify (5*((sqrt(121) - (sqrt(121)*1 - sqrt(121)))*-2 - sqrt(121)))/((3*sqrt(220))/sqrt(5)).
-5*sqrt(11)/2
Simplify 1*-1*(sqrt(320) + 1 + 0)**2*-1.
16*sqrt(5) + 321
Simplify -4*(sqrt(425) + 0)**2 + 4 + sqrt(34)/sqrt(2) + 0.
-1696 + sqrt(17)
Simplify ((sqrt(2057) + sqrt(2057) + -1 + 0 - 3*(1 + sqrt(2057)))*-6)**2.
3168*sqrt(17) + 74628
Simplify (-2*sqrt(208) + 1 + (1*2*sqrt(208) - sqrt(208)) + 0)**2.
-8*sqrt(13) + 209
Simplify (-3*(sqrt(99) - (sqrt(99) - sqrt(99)*-1)) - sqrt(99)*-2*2)/(sqrt(9)*1*5 - sqrt(243)/sqrt(3)).
7*sqrt(11)/2
Simplify (-1*sqrt(98)*6 + sqrt(98) + -3 + sqrt(98) + -4)**2*-6.
-9702 - 2352*sqrt(2)
Simplify -2 + (sqrt(27) - (sqrt(135) + (sqrt(135)*-3 - sqrt(135) - sqrt(135)))/sqrt(5))/(-5*sqrt(36)).
-2 - sqrt(3)/2
Simplify (-4 + sqrt(242) + -3*sqrt(242)*-1)**2 - 5*(sqrt(8)/sqrt(36) + -5)**2.
-1006*sqrt(2)/3 + 33857/9
Simplify (sqrt(700) + -1 + sqrt(700) + sqrt(112)/sqrt(4) + sqrt(28)/(-3*sqrt(196)))**2.
-922*sqrt(7)/21 + 212584/63
Simplify ((sqrt(76) - (sqrt(76) + (sqrt(76) - (sqrt(76)*-1*-2 - sqrt(76)))))*3)/((sqrt(320)/(2*sqrt(10) - sqrt(10)))/sqrt(8)).
0
Simplify sqrt(114)/sqrt(6)*2*-5 + sqrt(171)*-3 + -2.
-19*sqrt(19) - 2
Simplify -5 + -3 + (sqrt(130)/((sqrt(60)/sqrt(6) + sqrt(10))*-6))**2.
-1139/144
Simplify (sqrt(637) + 1 - sqrt(637) - -1*sqrt(117)) + (sqrt(65)/(sqrt(15)/sqrt(3)))**2 + (sqrt(13) - (0 + sqrt(1573))).
-7*sqrt(13) + 14
Simplify (-3 + -3*(-1 + sqrt(176) + -1 - (sqrt(176) + -5*(sqrt(176) + 1 + sqrt(176)))))**2.
2880*sqrt(11) + 158544
Simplify (5 + (sqrt(19) + 1)*3 + -5)**2*2 + 5.
36*sqrt(19) + 365
Simplify ((sqrt(143) + sqrt(143) + -4*-1*sqrt(143))*-3)/(sqrt(484)/(-3*sqrt(11))).
27*sqrt(13)
Simplify (-6*(sqrt(17) + 5*sqrt(272)))**2 + (-2 + sqrt(2448) + sqrt(17) - (1*(1 + sqrt(17)))**2).
11*sqrt(17) + 269872
Simplify ((sqrt(132) + sqrt(132)*-5 + sqrt(132))*4)/((sqrt(84) + 2*sqrt(84) - sqrt(84))/sqrt(7)).
-6*sqrt(11)
Simplify (1*((sqrt(2736) + -3 - sqrt(2736)) + -2)*5 + -3)**2*6.
4704
Simplify (-4*sqrt(1008)*-1)**2 + 2 + sqrt(1008) + 4.
12*sqrt(7) + 16134
Simplify (sqrt(45) + sqrt(180)/(2*sqrt(4)) + -2*sqrt(1125) + sqrt(1125) + sqrt(1125))/(-5*sqrt(81)*5).
-sqrt(5)/50
Simplify -4*(0 + sqrt(162)) + 2.
-36*sqrt(2) + 2
Simplify (((sqrt(192) - sqrt(48))*6)/sqrt(3))/(sqrt(80)/(sqrt(70)/sqrt(112))).
3*sqrt(2)/2
Simplify (sqrt(156)/(sqrt(12)*-2) + sqrt(13) + 3)**2 + ((sqrt(117) + sqrt(117)*2)*-1 - sqrt(117)).
-9*sqrt(13) + 49/4
Simplify -2*(5*sqrt(1331))**2 - (sqrt(1331)*4 + 1).
-66551 - 44*sqrt(11)
Simplify (((sqrt(99) + sqrt(99) + sqrt(99)*-2)/sqrt(3))/sqrt(176))**2.
0
Simplify sqrt(128) + sqrt(128) + (3*sqrt(128) + sqrt(128))**2 + 5 - (-1 + (sqrt(128) - (-2 + sqrt(128)))).
16*sqrt(2) + 2052
Simplify -2*1*(1 + -5*sqrt(208)*1)**2*-1.
-80*sqrt(13) + 10402
Simplify ((sqrt(104)/sqrt(2) + sqrt(13))*4*2*6 + 2)**2.
576*sqrt(13) + 269572
Simplify (5 + -1*sqrt(833) + 6*(-1 + sqrt(833)))**2*-3.
-62478 + 210*sqrt(17)
Simplify (sqrt(2205)/sqrt(9)*-6)**2 + (sqrt(5)*-1*1 - (sqrt(15)/sqrt(3) + 0)**2).
-sqrt(5) + 8815
Simplify 2 + (3*(1*sqrt(104) - sqrt(104)))/(sqrt(800) - (sqrt(800) + -2*sqrt(800) - sqrt(800)) - sqrt(8)).
2
Simplify ((3*(sqrt(17) + 0) + 2)*-1 - (-3*sqrt(68) + sqrt(833) + 0))**2.
16*sqrt(17) + 276
Simplify (sqrt(209)*-1*1*-5)/(-6*sqrt(396)).
-5*sqrt(19)/36
Simplify -3 + (3*sqrt(1782))/(1*1*sqrt(11)) + -5.
-8 + 27*sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
ut replacement from cckucck?
1/35
Two letters picked without replacement from {v: 9}. Give prob of picking 2 v.
1
Two letters picked without replacement from mmrppmpbmp. Give prob of picking 1 m and 1 r.
4/45
Two letters picked without replacement from {y: 7, i: 4, e: 1, u: 1}. What is prob of picking 1 u and 1 i?
2/39
What is prob of picking 1 v, 1 j, and 1 l when three letters picked without replacement from {l: 1, v: 3, j: 1}?
3/10
Four letters picked without replacement from tttattattat. Give prob of picking 4 a.
0
Four letters picked without replacement from {g: 2, n: 5, w: 4}. Give prob of picking 1 n, 1 g, and 2 w.
2/11
What is prob of picking 2 v and 2 z when four letters picked without replacement from vpeiz?
0
Calculate prob of picking 4 v when four letters picked without replacement from {v: 11, t: 5}.
33/182
Two letters picked without replacement from {c: 3, p: 4, e: 2, a: 2}. What is prob of picking 1 e and 1 a?
4/55
Four letters picked without replacement from {d: 3, m: 2, w: 8, y: 2}. What is prob of picking 1 y, 2 d, and 1 w?
16/455
What is prob of picking 4 b when four letters picked without replacement from {b: 7, s: 12}?
35/3876
Four letters picked without replacement from {w: 17, n: 2}. What is prob of picking 2 n and 2 w?
2/57
What is prob of picking 3 e when three letters picked without replacement from {e: 7, o: 1, t: 5}?
35/286
What is prob of picking 1 g and 1 e when two letters picked without replacement from {e: 4, g: 2, m: 7, z: 2, y: 2}?
1/17
Three letters picked without replacement from {y: 7, x: 2, c: 4}. What is prob of picking 1 c, 1 y, and 1 x?
28/143
Three letters picked without replacement from {n: 2, m: 2, i: 4, f: 2, d: 6, l: 4}. Give prob of picking 2 m and 1 d.
1/190
What is prob of picking 1 y and 1 k when two letters picked without replacement from {y: 12, u: 1, k: 1}?
12/91
Four letters picked without replacement from {q: 2, j: 1, o: 2, v: 2, a: 5, s: 2}. What is prob of picking 1 a, 2 s, and 1 j?
5/1001
Two letters picked without replacement from ggggghddhhgdggdhgag. What is prob of picking 1 a and 1 g?
10/171
Calculate prob of picking 1 k, 1 t, and 1 a when three letters picked without replacement from trnankct.
1/28
Calculate prob of picking 2 b and 1 c when three letters picked without replacement from {b: 2, h: 4, c: 3}.
1/28
Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {j: 5, u: 11}.
11/24
Four letters picked without replacement from pppppppppkpppppppppp. Give prob of picking 3 p and 1 k.
1/5
What is prob of picking 1 i and 1 v when two letters picked without replacement from {v: 2, e: 3, i: 2, r: 2, q: 2, s: 4}?
4/105
Four letters picked without replacement from {x: 2, j: 7, u: 6}. What is prob of picking 1 x, 1 u, and 2 j?
12/65
What is prob of picking 4 y when four letters picked without replacement from yyyyyy?
1
What is prob of picking 1 v, 1 p, and 1 e when three letters picked without replacement from peozoov?
1/35
Calculate prob of picking 1 g and 1 h when two letters picked without replacement from hzidg.
1/10
What is prob of picking 2 s and 2 g when four letters picked without replacement from oxyxgygsssyy?
1/165
Four letters picked without replacement from ipipppqqiqppiiiqqqq. What is prob of picking 4 p?
5/1292
Calculate prob of picking 1 x and 1 d when two letters picked without replacement from mxmrdid.
2/21
Three letters picked without replacement from mvvoooomov. Give prob of picking 1 v, 1 o, and 1 m.
1/4
Three letters picked without replacement from {n: 6, h: 1, k: 9, c: 3}. Give prob of picking 2 k and 1 n.
72/323
What is prob of picking 2 q and 2 p when four letters picked without replacement from {p: 10, q: 4}?
270/1001
Four letters picked without replacement from lsllslseles. Give prob of picking 1 e and 3 l.
2/33
What is prob of picking 1 x and 3 i when four letters picked without replacement from {l: 10, z: 3, i: 4, x: 1}?
1/765
Calculate prob of picking 1 k, 1 b, and 1 j when three letters picked without replacement from {x: 2, b: 1, k: 1, q: 4, t: 4, j: 7}.
7/969
Two letters picked without replacement from {g: 11, l: 3, u: 4}. What is prob of picking 2 l?
1/51
Calculate prob of picking 2 s and 2 y when four letters picked without replacement from {s: 10, y: 4}.
270/1001
What is prob of picking 2 d when two letters picked without replacement from {d: 8, e: 3}?
28/55
What is prob of picking 1 k and 1 c when two letters picked without replacement from {n: 2, k: 1, z: 1, c: 2, v: 6}?
1/33
Calculate prob of picking 2 s when two letters picked without replacement from eeseeseseeseee.
6/91
Four letters picked without replacement from sgggsnspsmssspmssk. Give prob of picking 1 m and 3 g.
1/1530
Calculate prob of picking 2 g when two letters picked without replacement from ggzz.
1/6
Two letters picked without replacement from {s: 2, v: 7, g: 2}. What is prob of picking 1 s and 1 g?
4/55
Calculate prob of picking 4 b when four letters picked without replacement from ssskkibbksbbbss.
1/273
Two letters picked without replacement from rrrrrrrrotrrrrrr. Give prob of picking 1 o and 1 t.
1/120
What is prob of picking 1 h and 1 m when two letters picked without replacement from mdggpmmphpmpdggdgdgg?
2/95
Calculate prob of picking 2 q when two letters picked without replacement from {p: 2, m: 1, q: 2}.
1/10
Four letters picked without replacement from aetetateetaeat. Give prob of picking 1 e, 1 t, and 2 a.
150/1001
What is prob of picking 1 n and 1 l when two letters picked without replacement from nnxnxlxxxl?
2/15
What is prob of picking 1 o and 1 f when two letters picked without replacement from rokfrk?
1/15
Calculate prob of picking 1 k, 1 f, and 1 y when three letters picked without replacement from nnfnnnyzkfzznk.
1/91
Four letters picked without replacement from ofijvbbjivjbif. Give prob of picking 1 b, 1 f, 1 j, and 1 i.
54/1001
Two letters picked without replacement from {r: 3, a: 4, t: 5, w: 3, z: 1, b: 1}. What is prob of picking 1 w and 1 t?
15/136
Two letters picked without replacement from ozzukceu. What is prob of picking 2 u?
1/28
Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {j: 3, v: 2, x: 7, a: 1, y: 1}.
1/13
Four letters picked without replacement from lpolxllllllxoooo. What is prob of picking 1 o and 3 l?
2/13
Three letters picked without replacement from {h: 4, b: 7}. Give prob of picking 3 h.
4/165
Three letters picked without replacement from {t: 5, m: 3}. What is prob of picking 2 t and 1 m?
15/28
Two letters picked without replacement from vhvvuvvvhuvvvvv. Give prob of picking 2 v.
11/21
Calculate prob of picking 1 r and 1 c when two letters picked without replacement from rrcr.
1/2
Calculate prob of picking 1 y and 1 j when two letters picked without replacement from {t: 1, s: 3, j: 2, y: 1}.
2/21
What is prob of picking 1 e and 1 g when two letters picked without replacement from oajbega?
1/21
Calculate prob of picking 2 r and 2 s when four letters picked without replacement from {r: 2, s: 7, f: 7}.
3/260
Calculate prob of picking 1 q and 1 n when two letters picked without replacement from weonqonnnn.
1/9
Three letters picked without replacement from {a: 4, r: 3, k: 4, b: 4}. Give prob of picking 2 b and 1 k.
24/455
Two letters picked without replacement from kkkgkgxgkfkfxkkg. Give prob of picking 2 k.
7/30
Calculate prob of picking 1 z, 2 e, and 1 l when four letters picked without replacement from {k: 1, g: 5, t: 1, l: 5, z: 1, e: 2}.
1/273
Two letters picked without replacement from jjjjj. What is prob of picking 2 j?
1
Two letters picked without replacement from {i: 2, s: 1, v: 3, d: 6, f: 2, o: 6}. Give prob of picking 1 v and 1 d.
9/95
Four letters picked without replacement from {g: 15, q: 4}. What is prob of picking 4 g?
455/1292
Calculate prob of picking 1 t and 1 l when two letters picked without replacement from lblcclvlcbfbbftbbcv.
4/171
Three letters picked without replacement from {j: 2, n: 3, p: 8, v: 5, d: 1}. Give prob of picking 2 j and 1 d.
1/969
What is prob of picking 2 l and 1 r when three letters picked without replacement from rrrllr?
1/5
Four letters picked without replacement from {d: 3, t: 1, x: 3, v: 1, q: 2}. Give prob of picking 4 q.
0
Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
-19*o + 145. Give z(25).
-330
Let y(f) = -6*f + 463. What is y(81)?
-23
Let h(l) = 2*l**3 - 5*l**2 - 10*l - 9. Give h(-3).
-78
Let v(m) = -11682*m - 23379. Determine v(-2).
-15
Let l(w) = -34*w + 1989. Calculate l(61).
-85
Let i(r) = -1440*r + 18741. Determine i(13).
21
Let x(g) = -2*g**2 + 36*g - 146. What is x(6)?
-2
Let c(p) = -p**2 + 311*p - 3014. Determine c(10).
-4
Let k(f) = -306*f + 5503. Calculate k(18).
-5
Let o(h) = h**3 - 9*h**2 + 21*h - 110. What is o(7)?
-61
Let b(p) = p**3 - 12*p**2 + 55*p - 423. Determine b(9).
-171
Let d(x) = 128*x + 9229. Give d(-72).
13
Let q(z) = -z**2 - 83*z + 1013. Determine q(-94).
-21
Let w(x) = -5*x**2 + 82*x - 35. Give w(16).
-3
Let s(n) = n**3 + 2*n**2 - n - 22. Calculate s(0).
-22
Let q(r) = -3*r**2 - 489*r - 14513. Calculate q(-124).
-5
Let o(y) = 216*y + 351. Give o(-4).
-513
Let n(q) = 1989*q + 9935. Determine n(-5).
-10
Let x(c) = -125*c + 763. Calculate x(6).
13
Let b(g) = -2*g**3 + 31*g**2 - 122*g + 58. Calculate b(9).
13
Let r(b) = -2*b**3 + 335*b**2 + 149*b + 3237. Determine r(168).
45
Let h(b) = 17*b**2 - 11*b - 46. Give h(-3).
140
Let z(d) = -2*d**3 + 17*d**2 - 19*d + 35. What is z(9)?
-217
Let l(a) = -a**2 - 285*a - 7643. Calculate l(-30).
7
Let t(l) = -l**3 + 18*l**2 + 114*l + 13. Calculate t(23).
-10
Let d(l) = -2*l**2 - 324*l - 2186. What is d(-155)?
-16
Let l(d) = d**3 + d**2 + 10*d - 24. Determine l(2).
8
Let w(l) = l**2 - 39*l - 207. Calculate w(43).
-35
Let h(i) = i**3 - 20*i**2 + 91*i + 10. Give h(13).
10
Let n(k) = -7*k**2 + 31*k + 94. What is n(-2)?
4
Let i(g) = -g**3 - 11*g**2 - 28*g - 10. Determine i(-7).
-10
Let w(k) = k**3 + 3*k**2 - 3*k + 78. Give w(-9).
-381
Let x(j) = 25*j - 138. Give x(5).
-13
Let u(k) = -k**3 - 7*k**2 - 4*k - 11. Determine u(4).
-203
Let d(s) = -s**3 + s**2 + 23*s + 338. Give d(9).
-103
Let q(p) = -7*p**2 - 11*p + 7. What is q(-3)?
-23
Let x(g) = -389*g - 9371. Determine x(-24).
-35
Let f(k) = k**3 + 24*k**2 + 116*k - 175. Calculate f(-9).
-4
Let c(f) = -50*f + 2. Give c(18).
-898
Let m(y) = -2*y**2 - 30*y - 95. Determine m(-8).
17
Let p(d) = 4*d**3 - d**2 - 12*d - 9. Determine p(5).
406
Let y(f) = 1077*f - 18327. Calculate y(17).
-18
Let u(c) = c**3 - 53*c**2 - 174*c - 16. Give u(-3).
2
Let p(t) = 8*t**2 - 10*t. What is p(2)?
12
Let b(v) = -v**3 - 23*v**2 - 131*v - 718. Determine b(-18).
20
Let j(n) = 63*n + 1405. Calculate j(-23).
-44
Let k(g) = 2*g**2 + 39*g + 275. What is k(-13)?
106
Let l(g) = -57*g**2 - 36*g - 73. What is l(-2)?
-229
Let m(s) = s**2 - 73*s + 928. What is m(19)?
-98
Let t(q) = -q**3 - 78*q**2 - 170*q - 1380. What is t(-76)?
-12
Let z(g) = -33*g + 1902. Calculate z(55).
87
Let r(k) = 10*k**3 - 13*k**2 + 61*k - 19. Calculate r(4).
657
Let p(x) = -x**2 + 86*x + 170. Give p(-2).
-6
Let m(r) = -r**2 - 5*r + 4684. What is m(66)?
-2
Let f(i) = -i**3 - 13*i**2 + 93*i + 73. Calculate f(6).
-53
Let v(k) = 3*k**3 - 19*k**2 - 133*k - 15. Determine v(-6).
-549
Let x(f) = -f**2 + 1575*f + 25450. Calculate x(-16).
-6
Let a(t) = t**3 - 28*t**2 + 40*t - 244. Give a(27).
107
Let b(w) = 2*w**2 - 91*w + 906. Calculate b(15).
-9
Let a(w) = -54*w - 557. Give a(-11).
37
Let y(b) = b**2 - 20*b - 4. Calculate y(26).
152
Let d(h) = -106*h**3 - 7*h**2 + 11*h + 32. Determine d(-2).
830
Let k(d) = -2*d**2 + 8795*d + 35203. Give k(-4).
-9
Let q(x) = -x**2 + 836*x - 4988. Give q(6).
-8
Let q(l) = -l**3 - 32. Give q(0).
-32
Let n(v) = -4*v**2 - 8*v + 23. What is n(5)?
-117
Let c(o) = -28*o**2 + 54*o - 112. Determine c(2).
-116
Let x(f) = 25*f - 143. Give x(-31).
-918
Let b(t) = 9*t**2 - 19*t + 13. Determine b(4).
81
Let z(n) = 2*n**2 - 82*n + 10. What is z(41)?
10
Let w(i) = 4*i**3 - 160*i**2 - 12*i + 6. Calculate w(40).
-474
Let m(f) = -959*f + 3855. Determine m(4).
19
Let r(n) = n**2 + 30*n - 1003. Determine r(20).
-3
Let j(q) = -q**2 - 5*q + 105. Calculate j(-17).
-99
Let m(b) = 11*b**3 - 6*b**2 + 2*b + 16. Determine m(-2).
-100
Let z(n) = 832*n - 2526. What is z(3)?
-30
Let b(u) = 16*u**2 - 18*u + 51. What is b(2)?
79
Let r(x) = x**3 - 179*x**2 + 1703*x - 2201. What is r(169)?
-4
Let y(k) = -722*k - 41885. Determine y(-58).
-9
Let l(x) = x**2 - 3*x - 24. Give l(-14).
214
Let t(x) = 2*x**2 - 20*x - 108. Give t(14).
4
Let o(x) = -x**3 + 92*x**2 - 9*x + 856. Give o(92).
28
Let r(n) = -13*n - 572. What is r(-45)?
13
Let a(i) = -39*i + 191. Give a(5).
-4
Let i(d) = -d**2 + 107*d - 2315. Determine i(30).
-5
Let f(y) = 56*y + 996. What is f(-18)?
-12
Let v(d) = d**3 + 113*d**2 + 225*d + 333. Determine v(-111).
0
Let z(n) = n**3 + 27*n**2 - 36*n - 220. Give z(-28).
4
Let s(d) = -47*d**2 - 706*d + 45. What is s(-15)?
60
Let i(q) = -112*q + 1276. What is i(12)?
-68
Let d(o) = o**3 - 52*o**2 - 109*o + 50. Give d(54).
-4
Let s(k) = 3*k + 80. Determine s(-25).
5
Let o(n) = n**3 + 26*n**2 + 13*n + 338. Calculate o(-26).
0
Let f(c) = -c**2 + 39*c - 234. Give f(20).
146
Let u(r) = r**3 - 100*r**2 + 737*r - 130. Determine u(92).
-38
Let h(r) = -625*r + 10648. What is h(17)?
23
Let d(g) = 56*g - 4631. Calculate d(85).
129
Let s(k) = k**2 - 42*k + 186. Determine s(4).
34
Let d(r) = -688*r + 14410. Give d(21).
-38
Let s(i) = -7286*i - 29126. Determine s(-4).
18
Let d(w) = -1822*w + 58303. Give d(32).
-1
Let h(r) = -50*r + 56. Calculate h(-2).
156
Let b(q) = -q**3 + 44*q**2 + 7*q - 317. Calculate b(44).
-9
Let f(o) = 5*o - 55. Give f(6).
-25
Let l(q) = q**3 + 37*q**2 + 253*q + 10. Determine l(-9).
1
Let r(l) = -l**3 + 9*l**2 - 8*l + 27. Calculate r(9).
-45
Let i(f) = -109*f**3 - 12*f**2 + 8*f + 1. What is i(1)?
-112
Let a(n) = -5*n**2 + 105*n + 38. Give a(20).
138
Let n(z) = -2*z**3 + 9*z**2 + 52*z - 338. Calculate n(6).
-134
Let u(g) = -74*g - 7. Give u(2).
-155
Let a(k) = k**3 + 41*k**2 - 89*k - 46. Calculate a(-43).
83
Let b(a) = a**3 - 42*a**2 + 380*a - 55. Give b(13).
-16
Let k(f) = -f**3 - 18*f**2 + 13*f - 536. What is k(-20)?
4
Let h(r) = 34*r - 1. Calculate h(0).
-1
Let i(v) = 27*v - 405. Determine i(-18).
-891
Let d(p) = -p**3 + 6*p**2 + 64*p - 275. What is d(9)?
58
Let v(p) = -54*p**3 - 2*p**2 + 1. Determine v(-1).
53
Let g(a) = a**3 + 44*a**2 - 102*a + 1857. Determine g(-47).
24
Let z(y) = -21*y + 58. Give z(4).
-26
Let s(o) = 4*o**3 + 20*o**2 - 18*o + 4. Calculate s(-5).
94
Let d(n) = -38*n - 361. What is d(-12)?
95
Let p(z) = z**3 + 28*z**2 - 1200*z - 31882. Give p(-25).
-7
Let k(r) = 206*r + 2688. Calculate k(-13).
10
Let z(b) = -4*b**2 + 37*b - 75. Calculate z(3).
0
Let p(w) = -w**3 + 45*w**2 + 42*w + 96. Give p(46).
-88
Let k(p) = -294*p - 73213. Give k(-249).
-7
Let r(g) = g**3 + 100*g**2 + 282*g - 871. Calculate r(-97).
2
Let x(b) = -5*b**3 - 27*b**2 + 57*b + 252. Give x(-6).
18
Let a(y) = -2*y**3 - 15*y**2 + 152*y - 8. Give a(0).
-8
Let s(u) = -u**3 + 2*u**2 + 11*u - 27. What is s(4)?
-15
Let m(r) = -191*r - 3825. Calculate m(-20).
-5
Let f(t) = t**2 - 262*t + 7957. Calculate f(35).
12
Let k(c) = 38*c - 205. What is k(5)?
-15
Let r(n) = n**2 + 3923*n + 139939. Give r(-36).
7
Let y(c) = 608*c - 1811. Give y(3).
13
Let n(f) = 6*f**3 + 47*f**2 - 2*f - 6. Calculate n(-8).
-54
Let n(f) = f**3 - 3*f**2 - 2*f - 15. What is n(-3)?
-63
Let u(c) = -12*c**2 - 195*c - 762. Determine u(-10).
-12
Let q(c) = -c**3 + 36*c**2 - 157*c - 18. Give q(5).
-28
Let q(r) = -r**2 + 55*r + 430. Determine q(62).
-4
Let n(r) = -62*r + 1639. Calculate n(32).
-345
Let y(p) = p**3 + 7*p**2 - p - 22. Determine y(-8).
-78
Let h(r) = -r**3 - 60*r**2 + 59*r - 162. Calculate h(-61).
-40
Let b(u) = -u**3 + 2*u**2 + 3*u - 115. Determine b(-5).
45
Let x(h) = 229*h - 921. Give x(4).
-5
Let d(y) = y**2 + 4*y - 46. Calculate d(-11).
31
Let p(m) = -m**3 + 5*m**2 + 14*m - 7. What is p(7)?
-7
Let j(z) = -52*z - 121. Determine j(5).
-381
Let x(w) = 9*w**2 + 820*w + 85. Determine x(-91).
-6
Let w(v) = -758*v - 95514. Give w(-126).
-6
Let y(l) = l**2 - 210*l + 2944. Give y(15).
19
Let f(n) = -n**2 - 260*n + 3553. Determine f(-273).
4
Let r(x) = -x**3 + 29*x**2 - 29*x - 85. What is r(28)?
-113
Let v(w) = 2*w**2 - 10*w + 76. What is v(-13)?
544
Let f(w) = -w**2 + 39*w + 496. What is f(49)?
6
Let l(y) = -48*y - 6042. Give l(-127).
54
Let o(d) = d**3 + 112*d**2 + 540*d + 462. Calculate o(-107).
-73
Let q(a) = -a**2 - 12*a + 1110. Give q(28).
-10
Let u(x) = -x**3 - 23*x**2 - 21*x - 4. What is u(-22)?
-26
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate -249483858 + -68.889.
-249483926.889
Add 490961719 and 0.05301.
490961719.05301
Calculate -174523072330 - -0.9.
-174523072329.1
What is the distance between -33.3 and 28181989823.5?
28181989856.8
What is -1490077188 - -60995?
-1490016193
What is 77989 minus 176279348?
-176201359
What is 4011138519 plus 23392?
4011161911
-41820844 - -0.04708
-41820843.95292
What is 69.2302342368 take away -0.1?
69.3302342368
Sum -0.54714128 and 120738.
120737.45285872
What is -0.009 plus 183506611.27?
183506611.261
-1036846+11.0492795
-1036834.9507205
13111950736 + 12.5
13111950748.5
Add together 0.26313 and 49704192.
49704192.26313
Subtract 0.808 from -0.11139074115.
-0.91939074115
What is 0.038597402 + 1478?
1478.038597402
Put together 29187 and -4917.945.
24269.055
What is 4576530.9 less than -0.08258?
-4576530.98258
78710.35 + 196098
274808.35
What is -258939.581915 - -0.1?
-258939.481915
Work out -10455566 - -0.26244.
-10455565.73756
What is 10063.19 minus -242.8173?
10306.0073
What is the distance between -1015023 and 0.0786649?
1015023.0786649
What is the difference between 781714 and 409.06516?
781304.93484
Subtract -318482.6 from -1574525.
-1256042.4
68303515.7296+16
68303531.7296
Calculate -0.18185566 + -14033.
-14033.18185566
Work out -15483 - -16527062502.
16527047019
Calculate -0.3 + 20328580996.
20328580995.7
Add together -0.000487 and -158358587.
-158358587.000487
What is 16.7 less than -7594007805?
-7594007821.7
What is 331.990937862 plus 0.5?
332.490937862
-64817014757 - 5
-64817014762
What is -194 less than -917.878923?
-723.878923
What is the distance between 784.2069783596 and 0?
784.2069783596
What is -338193256 plus -0.040746?
-338193256.040746
Total of 4 and 655469629735.
655469629739
Total of -399800.28502 and -0.4.
-399800.68502
Work out -3217592435506 - -3.
-3217592435503
Add 20.24329279218 and -3.
17.24329279218
28+1095138697
1095138725
Put together -2838176390 and -583.03.
-2838176973.03
Total of -42172043915301 and 1.
-42172043915300
1767744478087.5 - -4
1767744478091.5
Sum -101685 and 429606.
327921
What is the difference between -25575035.89 and 1.747?
25575037.637
Add 0.022837540444 and -97.5.
-97.477162459556
Add -49.2869439 and -11808.
-11857.2869439
Total of -14028 and 37.6760061.
-13990.3239939
0.26730949363875 + 0.1
0.36730949363875
What is -638761429 plus 251?
-638761178
-16379819 + 47396095
31016276
What is the difference between 4.569932 and -7.0464?
11.616332
716657199600713+0.2
716657199600713.2
What is 6032245729225 plus 0.1?
6032245729225.1
What is -12087878.53 minus -0.102652?
-12087878.427348
What is -0.2 - -13787988629757?
13787988629756.8
Put together -0.1533 and -1.935404375.
-2.088704375
What is the difference between -201 and -0.009879789?
200.990120211
-27456954144.4 - -1.2
-27456954143.2
What is 159142 take away 27.6729?
159114.3271
Total of 454584.305631 and 1.
454585.305631
What is the distance between 159707 and 61621.0172?
98085.9828
What is -3985972381759 minus 0.11?
-3985972381759.11
What is 8246.70061 - 391?
7855.70061
Add 60807171284 and 1859.
60807173143
Sum -171188415 and 159669.
-171028746
Work out -0.00365524 + -15.85043.
-15.85408524
-6251676 - -21.318597
-6251654.681403
Add together 508 and -488730938.
-488730430
What is 0.07888 + -61929893?
-61929892.92112
What is 21208 minus -49033934.4?
49055142.4
Sum -0.167942 and -32305.27687.
-32305.444812
Subtract 89 from -1234159419302.
-1234159419391
What is 2 take away -139413604685?
139413604687
What is 0.1072621742961 less than -0.5?
-0.6072621742961
Work out -359281401 + -9911.89.
-359291312.89
What is 26.81344792168 plus 9?
35.81344792168
Add 1499 and -0.4501401798.
1498.5498598202
-73193.37 + 71567
-1626.37
335039+-28329972
-27994933
What is -923093593 minus 2.22845?
-923093595.22845
Total of 0.082 and -378582.9606.
-378582.8786
What is -279.882 take away -3196088?
3195808.118
What is 378.753044477 minus -61?
439.753044477
Subtract 12 from 0.159780138257.
-11.840219861743
What is the difference between 390 and 1464862035931?
1464862035541
What is 104 plus -31737122939?
-31737122835
Calculate 671 + -0.314703984.
670.685296016
Calculate 0.7139 - -11450839592.
11450839592.7139
What is the difference between -5 and -127801.534278177?
127796.534278177
Calculate 11106.890392 - 7.9.
11098.990392
Add -1224535.9 and 0.013296.
-1224535.886704
What is 32.949 take away -5.827225?
38.776225
-6553338223 - 197
-6553338420
Work out -10106189119 - -1961.
-10106187158
What is 391952111 + 0.92792?
391952111.92792
Calculate 34491720 - -0.0045332.
34491720.0045332
Subtract -4.75459 from -584425.
-584420.24541
What is 945175499 less than 0.7?
-945175498.3
What is -6.36160553 take away 16.3556?
-22.71720553
Work out 1232295569942 - -3.
1232295569945
Work out -2032019.6508791 - 0.4.
-2032020.0508791
What is 218894473510 + 2?
218894473512
Subtract 1 from 117.951209496.
116.951209496
-91493 + -128189009
-128280502
Add together -0.5 and 337751722.06131.
337751721.56131
What is 12893475 - 18108517?
-5215042
-167.15231924 + 5
-162.15231924
-395.70851902+-406
-801.70851902
-10.9688571 + 3146.3
3135.3311429
Calculate 17.5412284 + 1993.
2010.5412284
Total of -0.7249 and 88351293.
88351292.2751
What is 39933688 plus 44440?
39978128
Work out 5 - -0.17066159256743.
5.17066159256743
What is -13372384 minus -5.984?
-13372378.016
Put together 1501637 and -7.93716.
1501629.06284
What is -3060921971 - 0.62?
-3060921971.62
Add together 11506592228 and 0.0057.
11506592228.0057
932353+-41.5416
932311.4584
-1135.097 - 157.30243
-1292.39943
What is 4103234864 less than -1980?
-4103236844
What is the distance between 4.0552455 and 2507337?
2507332.9447545
-127 - 4125565849
-4125565976
Subtract -225777 from 0.1632335.
225777.1632335
What is -10.6 - -21257275591?
21257275580.4
Work out 0.47 + 18954.33437.
18954.80437
What is 38987132372 plus -0.4?
38987132371.6
905361220.02 - 0.00854
905361220.01146
Calculate -5528 + -94.42853.
-5622.42853
Put together 48418 and -2745.5.
45672.5
What is -24580345 minus -0.020139?
-24580344.979861
What is 253.18013 take away 20563?
-20309.81987
What is 5 minus 1910445847318?
-1910445847313
29019956+0.1177
29019956.1177
Work out -5432 - 5884662790.
-5884668222
Calculate 178486064 - -1848.
178487912
Add together -44 and -15034.138955317.
-15078.138955317
Total of -0.5 and 38211983093344.
38211983093343.5
41578 + 2868.624205
44446.624205
What is the distance between 22 and -9942666804229?
9942666804251
What is 2.82 take away 0.1674496142?
2.6525503858
What is the distance between -1741 and 535865391.9?
535867132.9
Sum -1929.788 and 18247.05.
16317.262
What is -14496 minus 6294002?
-6308498
Total of -13.9923806 and -1041.
-1054.9923806
-33.20208 - 31273
-31306.20208
What is 32 + -2510.1996767?
-2478.1996767
Work out 0.197 - 10098951.
-10098950.803
426290 + 168401
594691
270717+-48.649789
270668.350211
2 + -19730788567
-19730788565
Calculate 0.003 - -6.496014663647.
6.499014663647
Calculate 36410897832.309 - 0.4.
36410897831.909
What is -50213.9 plus -0.01970678?
-50213.91970678
Calculate 2 - 41151760790.2.
-41151760788.2
-0.1+87098.868188
87098.768188
Sum -1824 and -9.785529015.
-1833.785529015
Work out -1.072559757672995 - -0.3.
-0.772559757672995
What is the distance between -46944 and -13620413?
13573469
-429426448778 + -4
-429426448782
0.33141 - -101153.663
101153.99441
0.03 + 0.4482184082981
0.4782184082981
What is 241757661620354 plus -0.2?
241757661620353.8
Work out 878.9 - 3889861.
-3888982.1
Work out 35058701759 - 131.
35058701628
Total of -355085322359 and -317.
-355085322676
What is 344.5 + -24788.6758?
-24444.1758
What is 0.2709859 plus -29779?
-29778.7290141
Add -64432099946 and 0.
-64432099946
-19060116351 - -0.22
-19060116350.78
Total of 1645.1 and -1.6605689.
1643.4394311
Total of 152674399.6603 and -4.
152674395.6603
What is -5.171671385 plus -5.572?
-10.743671385
What is -1288939.629 minus 83?
-1289022.629
What is the difference between 0.321529587170902 and -0.2?
0.521529587170902
What is the difference between 1302200 and 38.47?
1302161.53
Calculate 45184 - 86.22714.
45097.77286
Total of 0 and -997.4215248869.
-997.4215248869
What is the distance between -1175686.563 and 10304?
1185990.563
What is -6789747 plus -156242418?
-163032165
S
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*i**2*m**2 - 52*i + m**2 + 62*m - 1 wrt i.
10368*b*i + 6990*b*m - 10*m**2
Find the third derivative of 1573*f**3*u**3 - 2*f**3 + 9*f**2*u**3 - f**2*u**2 - 485*f*u**3 - 112*f*u + 2889*u**2 wrt u.
9438*f**3 + 54*f**2 - 2910*f
Differentiate 2*c**2*s**2 - 35750*c**2 - c + 2*s**2 + 10969985*s - 1039 wrt s.
4*c**2*s + 4*s + 10969985
What is the second derivative of -110660312*b**2 + 11931373*b wrt b?
-221320624
What is the derivative of -138134*c*o*y - 105*c*o + 4*o*y - 2*y - 7167165 wrt c?
-138134*o*y - 105*o
What is the first derivative of 2*l*m**3 - l*m - 7553952*l + 218694*m**3 - m wrt m?
6*l*m**2 - l + 656082*m**2 - 1
Find the third derivative of -17*j**5 + 72571*j**4 + 13*j**2 - 4032482 wrt j.
-1020*j**2 + 1741704*j
Find the third derivative of 178232785*x**4 + 420572*x**2 + 7*x + 2.
4277586840*x
Differentiate -757826092*g - 57862718 with respect to g.
-757826092
Find the second derivative of -541766428*d**2 - 3841164*d + 3 wrt d.
-1083532856
Find the third derivative of -6243602*c*j**3 - 4*c*j**2 + c + 4*j**2 - 146894 wrt j.
-37461612*c
What is the first derivative of 1175538*x**3 - 3*x - 221714?
3526614*x**2 - 3
What is the first derivative of -499019*f**3 - 252*f**2 - 34437237 wrt f?
-1497057*f**2 - 504*f
Find the second derivative of -204563*i**5 + 31*i**2 + 131*i - 4500.
-4091260*i**3 + 62
Find the third derivative of 33820429*m**4 - 6933743*m**2 wrt m.
811690296*m
Differentiate -95716*f**2 - f + 2480110 wrt f.
-191432*f - 1
Find the second derivative of 98112537*o**2 + 29886884*o + 4 wrt o.
196225074
What is the derivative of 90462987*x**4 - 526114421?
361851948*x**3
Find the second derivative of 163*a**2*s**3 - 18017*a**2*s**2 - a**2*s + a**2 - 142*a*s - 2*s - 17831 wrt s.
978*a**2*s - 36034*a**2
What is the second derivative of 84806079*y**2 + 4384172*y - 2 wrt y?
169612158
What is the third derivative of 1455*z**4 - 5201*z**3 - z**2 - 7713*z - 65?
34920*z - 31206
What is the second derivative of 29*x**5 + 96167*x**2 + 8658014*x?
580*x**3 + 192334
What is the first derivative of 10711*l**4 + 230*l**3 + 36772066?
42844*l**3 + 690*l**2
Find the first derivative of -5497*a*h - 66*a + 171*h - 3539 wrt a.
-5497*h - 66
What is the third derivative of -32*g**2*j**3 - 2*g**2*j + 8*g**2*k - 15*g*j**2*k - 2*g*j**2 + g*j*k - 55*j**3*k + 33*j**3 - 6058*j**2*k wrt j?
-192*g**2 - 330*k + 198
Find the first derivative of 362422959*q + 19411189 wrt q.
362422959
Find the second derivative of 39035*h**4 + 18*h**2 - 7600053*h.
468420*h**2 + 36
What is the third derivative of 21205529*h**6 - 1215*h**2 - 265*h + 2 wrt h?
2544663480*h**3
Differentiate -162993663*k*z + 2*k - 21002244 wrt z.
-162993663*k
Find the third derivative of -20*d*h**3*s + d*h**3 + d*h**2*s - 151*d*h*s - 3628*d*s + 263*h**3*s - 51*h**3 + h**2*s wrt h.
-120*d*s + 6*d + 1578*s - 306
Differentiate 16512475*y + 66128113 wrt y.
16512475
What is the derivative of -3817301*m**3 + m**2 + 435812820 wrt m?
-11451903*m**2 + 2*m
Find the third derivative of -186824*h*u**3 + 3003*h*u**2 - 13*h*u + 2*h - 2*u**3 - 2*u**2 - 2 wrt u.
-1120944*h - 12
What is the third derivative of 342*p*s**3*x**3 + 72391*p*s**3 - 28*p*s**2*x**2 - 2*p*x**3 - 371110*p*x + s**2 + 3*x**2 wrt s?
2052*p*x**3 + 434346*p
Differentiate 55226148*k**2*y**3*z + 7*k**2*y**3 - 14*k*y**3 - 2*k*y**2 + 23*k*y + 5*y**3 - 2 with respect to z.
55226148*k**2*y**3
Find the second derivative of -91*a**2*l*o - 554726*a**2*o + 347*a*l + 5*a*o + 2*a + 3*l*o + 4*l - 2*o - 1884 wrt a.
-182*l*o - 1109452*o
What is the second derivative of -2*c**2*x**2 + 1101420*c**2*x + c**2 - 5*c*x**2 + 2*c + 30000*x**2 - 3*x wrt c?
-4*x**2 + 2202840*x + 2
Find the third derivative of -35076898*x**3 - 5*x**2 - 15497*x + 19.
-210461388
What is the second derivative of 745640*g**2*q - 2*g**2 - 9729*g*q + 93*q wrt g?
1491280*q - 4
Differentiate -624*m**2 + 1858*m - 7494854 wrt m.
-1248*m + 1858
Find the second derivative of -18079837*h*u**2 + 2*h*u + 1179*h - 182*u - 5 wrt u.
-36159674*h
Find the third derivative of 1170343*g**3 - 1674*g**2 - 1346*g - 4.
7022058
What is the derivative of -6754*u**3 - 2184*u - 180872148?
-20262*u**2 - 2184
What is the third derivative of 13*h**5 + h**4 - 10339*h**3 + 3*h**2 - 8*h + 13496 wrt h?
780*h**2 + 24*h - 62034
What is the second derivative of 236905*q**4 + 25*q**3 - 8244*q + 41 wrt q?
2842860*q**2 + 150*q
What is the derivative of -250579*m*o**3 - 2*m*o + 945*m - 29427*o**3 - o - 9020 wrt m?
-250579*o**3 - 2*o + 945
What is the derivative of -4239579*f**3 - 75*f*q + 12769382*q wrt f?
-12718737*f**2 - 75*q
Differentiate -278795*r*x + 22326126*x wrt r.
-278795*x
What is the derivative of 54*i**2*u - 36965*i**2 - 61954*u*y + 131*y wrt u?
54*i**2 - 61954*y
Differentiate 3204928*y**3 - 5806542.
9614784*y**2
What is the third derivative of -147436556*w**3 - 1081849*w**2 - 76*w?
-884619336
Find the first derivative of -1105203903*x**4 - 253006427.
-4420815612*x**3
What is the third derivative of 88976343*i**2*l**3 - 580228*i**2*l**2 - i**2*l + 2*i**2 + 18*i*l + l**5 - 5 wrt l?
533858058*i**2 + 60*l**2
What is the third derivative of -3414654*x**4 - 23*x**2 - 2635*x + 20?
-81951696*x
Find the first derivative of 2157401*d*l + 7*d - 26*l - 1748019 wrt l.
2157401*d - 26
Find the second derivative of 293300346*v**3 - 18139115*v.
1759802076*v
Find the second derivative of 3697*r**4 + 8*r**3 + 34*r**2 - 26965832*r wrt r.
44364*r**2 + 48*r + 68
What is the third derivative of -401324135*c**3 - c**2 + 30869122*c wrt c?
-2407944810
Find the second derivative of -189765*m**2*n**2 - 97*m**2*n - 23*m*n**2 - 47*m*n - 26*n**2 - 253 wrt m.
-379530*n**2 - 194*n
What is the second derivative of -10716320*n**3 + 2021876*n wrt n?
-64297920*n
What is the second derivative of -67571354*m**4*v**2 - m*v**2 + 2*m*v - 45*m + 1395*v**2 + v - 2 wrt m?
-810856248*m**2*v**2
What is the third derivative of 17319032*f**3 - 84939*f**2 + 329?
103914192
Find the third derivative of -4315228*h**4 + 4*h**2 - 742*h + 494 wrt h.
-103565472*h
What is the derivative of 10857752*d*f**2 - 2413472*d wrt f?
21715504*d*f
Find the second derivative of 5*s**3*t**2 - s**3*t + 5*s**2*t**2 + 4775184*s**2*t + 12*s*t**2 + 409*t**2 wrt t.
10*s**3 + 10*s**2 + 24*s + 818
What is the third derivative of 50971269*d**3*s**3 + 5*d**3*s**2 + 6*d**2*s**3 + 14942*d**2 + 232*s**3 wrt d?
305827614*s**3 + 30*s**2
Find the first derivative of -379*n*q + 13*n*y + 2*n - 2*q*y - 2*q + 135910*y + 133 wrt y.
13*n - 2*q + 135910
Find the second derivative of 72563740*g**4 - 76485428*g wrt g.
870764880*g**2
Differentiate 52133006*u**2 + 16514034 with respect to u.
104266012*u
What is the second derivative of -g*j**3*x**3 + 1463257*g*j**2*x**3 + 16*g*j - 45*j**3*x - 100*j**3 - 6*j*x wrt x?
-6*g*j**3*x + 8779542*g*j**2*x
What is the derivative of 538*g**2 + 40809*g - 202371666 wrt g?
1076*g + 40809
What is the second derivative of 28817*h**5 + 4*h**4 + 27*h**3 - 58918614*h?
576340*h**3 + 48*h**2 + 162*h
Differentiate k**2*w**2 - 3*k*w**2 + 2568846*k - 49*w**2 + 625*w - 410 wrt k.
2*k*w**2 - 3*w**2 + 2568846
What is the third derivative of -465196*z**6 - 16*z**3 - 12190*z**2 - 715*z - 3?
-55823520*z**3 - 96
Find the third derivative of -14548*o**3*t**4 + 15949*o**3*t**2 - o**3*t - 2*o**2 - 685*o*t**4 - 8*o wrt t.
-349152*o**3*t - 16440*o*t
What is the third derivative of 4*n**4 - 3107691*n**3 + 4*n**2 + 2276*n - 29?
96*n - 18646146
What is the second derivative of -75216901*g**2 - g - 25593432?
-150433802
Find the first derivative of 26111595*b - 605258 wrt b.
26111595
What is the third derivative of -737600371*g**3 + 83760018*g**2 wrt g?
-4425602226
Find the third derivative of 419*a**6 - 8985*a**4*k**2 + 20109*a**2 + 20*k**2 + 4*k wrt a.
50280*a**3 - 215640*a*k**2
Find the third derivative of -11*r**5 - 25456*r**4 - 144*r**3 + 66794976*r**2 - r.
-660*r**2 - 610944*r - 864
What is the third derivative of 1049947*h*k**4 + 7*h*k**3 - 4*h*k**2 - 889309*k**2 wrt k?
25198728*h*k + 42*h
What is the third derivative of 185369140*n*v**6 + n*v**5 - 14*n*v**2 - 21*n - 3*v**2 + 6*v wrt v?
22244296800*n*v**3 + 60*n*v**2
Find the third derivative of -267278582*n**4 + 98440180*n**2.
-6414685968*n
What is the derivative of -838187*c**2*h**2 - c**2 + 5*c*h**2 - 14527*c + 14 wrt h?
-1676374*c**2*h + 10*c*h
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) -1/2 (c) -1
a
Let l = 6 - 5.6. Let a = 0.222 + -0.022. What is the smallest value in l, 6, a?
a
Suppose -3*r - 2*y = -10, -y + 6 = -r + 3*y. Suppose 2*h = 4, 5*m - 3*h - r*h + 30 = 0. Which is the biggest value? (a) 2/13 (b) 1 (c) m
b
Suppose 0 = 3*q - 0*q - 9. What is the third smallest value in q, -2, 0.5, 2?
2
Let j = -192 + 191. Let g = -3 - -2.9. Let z = g - -0.2. What is the second biggest value in -0.1, j, z?
-0.1
Let v = -12 - -8. Let s = 0.05 - 0.45. What is the second biggest value in v, -2, s?
-2
Let x = -0.01 + 0.51. Which is the third biggest value? (a) x (b) 7 (c) 1
a
Suppose 2 + 2 = -4*y. Which is the third biggest value? (a) 1/4 (b) -4 (c) y
b
Let l = -4.7 + 3.4. Let c = l + 1.26. What is the third smallest value in -1, c, -5?
c
Let k = -1.18 + 4.18. Let x = 0.3 + -0.1. What is the second smallest value in x, k, 4/5?
4/5
Let m = 0.139 + 0.361. Which is the smallest value? (a) 4/5 (b) m (c) 4
b
Let q = 1 + -6. Let w = 9 + q. Let z(r) = -r**3 + 6*r**2 + 3. Let u be z(6). What is the third smallest value in u, w, -0.3?
w
Suppose -4*d + 4*k - 412 = 0, -5*k + 599 - 192 = -4*d. Let r be 51/d - (-4)/18. Which is the biggest value? (a) 0.1 (b) 5 (c) r
b
Let u = 187.4 + -187. Let r = -0.3 - -0.3. What is the smallest value in r, 4, u?
r
Let l = -0.03 + 6.03. Let p = l + -5. What is the second smallest value in -1/5, 0.5, p?
0.5
Let x = -0.51 - -0.11. Let z = 3.8 + -0.8. Let s = -1 + z. What is the second biggest value in 0.4, x, s?
0.4
Let l(f) = -2*f - 15. Let z be l(-10). Which is the second smallest value? (a) 1/4 (b) z (c) -0.2 (d) 4
a
Let t(d) = d**2 - 2*d - 1. Let q be t(3). Suppose -q*o + 8 = -4*a - 0*o, -3*o = 4*a - 12. Let p = -2 - 1. What is the biggest value in a, p, -0.2?
a
Let v = 6 - 9. Let d be ((-1)/v)/(3/3). Let y be (-3)/15 + (-32)/(-10). Which is the second biggest value? (a) d (b) 0.5 (c) y
b
Let l = -79 + 74.7. Let h = -1.3 - l. Which is the third smallest value? (a) -6 (b) h (c) 0.4
b
Let k be ((-2)/3)/(15/9). Let g(a) = 2*a + 4. Let i be g(3). Let n be ((-2)/i - 1) + 2. What is the biggest value in 5, n, k?
5
Suppose -2*s + 2*m = 216, 83 + 457 = -5*s + m. Let n be (-24)/s - 8/198. Which is the second biggest value? (a) 0.1 (b) 14 (c) n
c
Let x be 24/(-16)*(-8)/(-6). Let i be 84/39 + 0 + x. What is the second smallest value in 4, i, -3?
i
Let g = 0.4 - 0. Let l = -0.6 - -0.2. Let b = 5/7 + -17/14. What is the biggest value in g, b, l?
g
Let g = 55 - 56. What is the third smallest value in -27, g, 5, 3?
3
Let t = -8 + 8. What is the second smallest value in 0.1, t, -6?
t
Let u = -0.25 - -0.35. What is the second smallest value in 1/4, u, -0.2?
u
Let l be (-306)/(-119) - 3/1. Which is the third biggest value? (a) 2 (b) l (c) -5
c
Let k = 8.5 - 6.5. Which is the second smallest value? (a) 2/5 (b) -1/2 (c) -5 (d) k
b
Let i = 0.1 - 6.1. Let l = -5 - i. Let m be 2/8 + 2/(-4). Which is the second smallest value? (a) 2/3 (b) m (c) l
a
Let h = -1 + 3/7. What is the smallest value in h, -1, -1/7?
-1
Let f = 67 - 66.6. What is the fourth smallest value in 1, f, -0.3, 0.3?
1
Suppose x = 6*x. Suppose 2*k - 5*k = -4*h + 112, 5*k + 235 = -3*h. Let l = 351/8 + k. Which is the third smallest value? (a) l (b) x (c) 0.1
c
Let m(z) = -z**2 - 5*z - 2. Let l be m(-5). Let j = -43/78 - -2/39. Which is the smallest value? (a) j (b) 0.3 (c) l
c
Let c = -6 - -10. What is the third biggest value in -2, c, -3?
-3
Suppose -72 = 12*d - 0. Which is the second biggest value? (a) 1/4 (b) -5 (c) d
b
Let p = -135/497 + -1/71. Let k = -103 + 724/7. What is the third smallest value in p, k, -0.4?
k
Let n = 4.05 + -4. Let c = n - 3.05. Let o = 7/4 - 2. What is the third biggest value in o, c, 0?
c
Let w be 1*(-3)/6*-2. Which is the second smallest value? (a) w (b) -4 (c) -2/7
c
Let f = 2.7 + -3.1. Which is the biggest value? (a) -2/13 (b) f (c) 3
c
Let x = -41 - -44. Suppose 0 = -3*d + 169 - 1. Let r = d - 503/9. What is the second smallest value in -2/9, x, r?
r
Suppose 4 = -10*i + 9*i. Which is the smallest value? (a) 0 (b) -2/5 (c) i
c
Let o = 25 - 15. Let f = 9.3 - 1.3. Let i = f - o. Which is the second smallest value? (a) i (b) 0.2 (c) -3
a
Let n = 2 - -1. Let v = 3 + -3. What is the third biggest value in -4, n, v?
-4
Let u = -0.9 + 0.6. Suppose 3*p - 2*f + 31 = 2*f, 45 = -5*p + 5*f. Which is the third smallest value? (a) p (b) u (c) -2/7
c
Let g = 83 - 417/5. Let p = -5 + 9. Let l = 3.9 - p. What is the biggest value in 5, l, g?
5
Suppose h = -2 - 3. Let p(k) = -k**2 - 5*k. Let n be p(h). Let l = n - -2. Which is the second smallest value? (a) 4 (b) -0.5 (c) l
c
Let u be (-1 + (-2)/(-8))*-28. Let w be 1*u/9 - 1. Which is the biggest value? (a) w (b) 3 (c) 0
b
Let i = 14 - 16. Let x be (2/(-12))/(i/(-3)). Which is the third biggest value? (a) x (b) -2 (c) -1
b
Let q be (-42)/28 - 13/(-8). Let b be (-4)/6*(-6)/4. What is the third biggest value in -1/7, q, b?
-1/7
Let v be (-1)/(-7) - 0 - 0. Let i = 0.2 - 0.7. Let r = 0 - i. Which is the third smallest value? (a) v (b) r (c) 0.3
b
Let v = -157 + 162. What is the second biggest value in -5, -0.5, v?
-0.5
Suppose 0 = 9*a - 3*a. Let q = -4.5 + -0.5. What is the third smallest value in q, a, 1?
1
Let m = 13 - 9. Which is the third smallest value? (a) m (b) -1/3 (c) 4/3
a
Let d = 0.75 - 24.25. Let r = d - -26.51. Let g = r + -0.01. What is the second biggest value in g, -4/7, 2?
2
Let r(v) = -2*v**2 - 15*v + 3. Let q be r(-7). Let a be (-13)/q + 6/4. What is the biggest value in -0.1, 0.5, a?
0.5
Let a(x) be the first derivative of -x**2/2 - 5*x - 3. Let j be a(-4). Let y be (-4)/6 + (-11)/6. What is the second biggest value in j, 5, y?
j
Let j = -74 - -69. What is the third smallest value in j, -2/7, 1/6?
1/6
Suppose -5 = 7*v - 2*v. Let f be -4 + 2 - (-1)/2. Which is the second biggest value? (a) f (b) 2 (c) v
c
Let k = 15.83 - 16. Let g = -7.17 - k. Which is the third smallest value? (a) g (b) -5/2 (c) 0.1
c
Let h = -4.008 - 0.902. Let g = -0.09 + h. What is the third smallest value in -0.3, g, 0.4?
0.4
Let y = 247 + -2715/11. Suppose -4 + 8 = -2*p. What is the second biggest value in p, 5, y?
y
Let l be (-118)/44*(-78 + 0). Let p = 209 - l. Let r be 2/(-3)*2/4. What is the second smallest value in 0.5, r, p?
p
Let w = 38 + -38.5. Let q = 4 - 1. Let k = -3 - -2. Which is the biggest value? (a) k (b) w (c) q
c
Let n = 54 - 58. Which is the fourth smallest value? (a) 2 (b) n (c) -2/9 (d) -0.01
a
Suppose -18*v - 95 = -23. Let j = -0.1 + 0.5. What is the biggest value in v, -0.4, j?
j
Let h = -1 + 3. Let g = h + 2. Let t be ((-2)/(-8)*10)/2. What is the second smallest value in -5, g, t?
t
Let y = 77 + -80. What is the second biggest value in -2, 0.5, -0.16, y?
-0.16
Let g = -3 - -7. Let d = g + 1. Which is the biggest value? (a) d (b) 0.3 (c) 0.5
a
Let f be ((-3)/1 + 2)/((-3)/9). Which is the third smallest value? (a) -10/7 (b) f (c) -5
b
Let q = -9/13 + 76/91. Let o = -5.12 + -0.38. Let h = 3.5 + o. Which is the biggest value? (a) q (b) h (c) 1/10
a
Let x = -2.7 + 4.7. What is the second biggest value in -0.5, x, -2/17?
-2/17
Let f = -11 + 10. Suppose -1 + 4 = 3*q. Which is the third smallest value? (a) f (b) -3 (c) q
c
Let s = 12.38 + -0.38. Let a be 2 - 0 - (-12)/(-5). What is the biggest value in a, 0.1, s?
s
Suppose 2*h = 3*j - 10, -h = 3*h + 20. Let a be (1/8)/(0 + 1/(-2)). What is the second biggest value in a, 2, j?
j
Let u = 141 - 161. What is the smallest value in 0.2, -4, u?
u
Let j = 2.94 + 0.06. Let i = -38 + 39. Which is the biggest value? (a) i (b) j (c) 5
c
Let x = -14.8 - -9.8. Let w = 0 - 1. Let j = w - -0.9. Which is the third smallest value? (a) x (b) j (c) -0.4
b
Let k = 0.3 - 0.2. Let j = -0.01 - 0.09. Which is the biggest value? (a) -1 (b) j (c) k
c
Let u(k) be the first derivative of -5*k**3/3 + k**2/2 + k - 3. Let s be u(-1). Which is the third smallest value? (a) s (b) -1/2 (c) 2/7
c
Let n = -5.2 + 5.2. Which is the second smallest value? (a) n (b) 1/3 (c) 1.3
b
Let d be (2/(-6))/(1/4*4). Which is the biggest value? (a) 3 (b) d (c) -3/5
a
Let h = -0.05 - -1.05. Which is the second smallest value? (a) 0.02 (b) -5 (c) h
a
Let u = 320 - 319. Let z
|
{
"pile_set_name": "DM Mathematics"
}
|
(1/4)*x**(-1) assuming x is positive.
x**(-11/20)
Simplify (l**0/l)**(-8) assuming l is positive.
l**8
Simplify ((v/(v**(-3/5)*v))/((v/v**(3/5))/v))/((v*v*v**(-2)*v*v*v)/(v*v*v*v**(-2/7)*v*v)) assuming v is positive.
v**(102/35)
Simplify n**(1/7)/n**16 assuming n is positive.
n**(-111/7)
Simplify (((i/(i**(1/15)/i)*i)/i)/i)/(i**(-11/3)*i) assuming i is positive.
i**(18/5)
Simplify (p/((p**(2/7)/p)/p))**(-7/5)/(p*p*p**(4/9)*p*p**(-7/5)) assuming p is positive.
p**(-263/45)
Simplify ((w*w**(-1/13)/w)/w)/w*(w*w**(-23))/w assuming w is positive.
w**(-326/13)
Simplify (t**23*t)**(2/3) assuming t is positive.
t**16
Simplify (z/(z**0*z))**34/(z*z**(3/8)*z*z*z*z**(1/10)) assuming z is positive.
z**(-179/40)
Simplify (h**(-18)*h)**(1/3) assuming h is positive.
h**(-17/3)
Simplify z**(16/3)*(z**(4/7)*z)/z assuming z is positive.
z**(124/21)
Simplify (p**1)**(-44)/(p**(2/27)*p**(-7)) assuming p is positive.
p**(-1001/27)
Simplify q**(-1/3)*(q*q/(q*q*q/q**0)*q)/q assuming q is positive.
q**(-4/3)
Simplify (h**9*h*h**(-5/4))**(-37) assuming h is positive.
h**(-1295/4)
Simplify (a/((a**(2/9)/a)/a)*a/a**1)/(a/a**(-1))**(-5) assuming a is positive.
a**(115/9)
Simplify (h*h/(h*h*h**(-7/5))*h*h**(-2/7)/h)/(h**(-3)*h*h**(-2)) assuming h is positive.
h**(179/35)
Simplify (l*((l*l/l**(-3))/l)/l)/l**(-3/8) assuming l is positive.
l**(35/8)
Simplify (f*(f*f**1)/f)**(-34)/(((f/f**(-6))/f)/(f*f**(-3/4)*f)) assuming f is positive.
f**(-291/4)
Simplify (v*v/v**(1/3)*v*v)**(-14)/(v*v/(v/(v**0/v)))**(9/5) assuming v is positive.
v**(-154/3)
Simplify (w**(2/17)*w**0)**(-16/3) assuming w is positive.
w**(-32/51)
Simplify (k/(k/((k**(-9)*k)/k)*k))/k*k*k*k**(-1/17)/k assuming k is positive.
k**(-171/17)
Simplify y**(-32/3)*y**35 assuming y is positive.
y**(73/3)
Simplify (j**1)**(-36) assuming j is positive.
j**(-36)
Simplify (w**(-5/4)*w/(w*w**(-2)*w))**29 assuming w is positive.
w**(-29/4)
Simplify w**(-2/5)/(w*(w/w**(-3))/w) assuming w is positive.
w**(-22/5)
Simplify (p/((p*p/p**(7/6))/p))/(p/((p/p**(-15))/p)) assuming p is positive.
p**(91/6)
Simplify ((i*i**(-7)*i*i)/i**15)**42 assuming i is positive.
i**(-798)
Simplify (g**(3/4))**(1/75)*g**(-4)/(g**6*g) assuming g is positive.
g**(-1099/100)
Simplify (a/(a*a/(a**(1/13)*a)*a)*a)**(-17/2) assuming a is positive.
a**(-17/26)
Simplify (h*h*h*h/h**(-10))**(-2/15) assuming h is positive.
h**(-28/15)
Simplify (j**(-1/13)/(j**6*j))**(-1/14) assuming j is positive.
j**(46/91)
Simplify (j**3*j)**(-25) assuming j is positive.
j**(-100)
Simplify (j**(1/3))**0/(j**(-2/3)/j)**(2/77) assuming j is positive.
j**(10/231)
Simplify ((x*x*x/(x/(x**(-1/2)*x)*x*x))/x)**(-2/3) assuming x is positive.
x**(1/3)
Simplify (s/(s*s**2))**(-2) assuming s is positive.
s**4
Simplify i**6/i**35 assuming i is positive.
i**(-29)
Simplify (a**(-10)/a)**(-1/11) assuming a is positive.
a
Simplify (b/b**(-6))/(b/b**2)*b**1*b*b*(b**(-1/7)/b)/b*b assuming b is positive.
b**(69/7)
Simplify ((n**(-1/4)*n*n)/n)**(1/10) assuming n is positive.
n**(3/40)
Simplify j**(2/13)*j**10 assuming j is positive.
j**(132/13)
Simplify (c**(28/3)*c)**(-41) assuming c is positive.
c**(-1271/3)
Simplify (a**(-4)*a)**(-2/53) assuming a is positive.
a**(6/53)
Simplify g**(-1)*(g/g**(4/3))/g*(g**(-9)*g)/(g/(g*g**10*g)) assuming g is positive.
g**(2/3)
Simplify (z**(1/6))**(-18) assuming z is positive.
z**(-3)
Simplify ((h/(h*h**(1/6)*h*h))/((h/(h/h**(-8)))/h))/(h**2)**(-7/9) assuming h is positive.
h**(151/18)
Simplify o**(-2/3)*o*o*(o/(o/((o*o**(-3/10)/o)/o*o)))/o*o*(o/o**(-2/9))**45 assuming o is positive.
o**(1681/30)
Simplify v**21/(v/(((v/(v*v**(-9)))/v)/v)) assuming v is positive.
v**27
Simplify (f*f**2*f*f)**19/(f**2)**(20/11) assuming f is positive.
f**(1005/11)
Simplify (a**(2/3)/((a**(1/9)/a*a)/a))/(a**(-1)/a)**(-21) assuming a is positive.
a**(-364/9)
Simplify (s*s**(2/7))/(s/s**(12/5)) assuming s is positive.
s**(94/35)
Simplify (c**(-2/13)*c)/c**(1/4) assuming c is positive.
c**(31/52)
Simplify (j**11/j*j*j**1)**(6/17) assuming j is positive.
j**(72/17)
Simplify v**15/(v**(-3/10)/v*v) assuming v is positive.
v**(153/10)
Simplify i/i**(-2/37)*i**(-42)/i*i assuming i is positive.
i**(-1515/37)
Simplify (w**3/(w/w**(1/4)))**43 assuming w is positive.
w**(387/4)
Simplify (s**(-5/4)/((s*s**(-5)*s)/s))**(31/2) assuming s is positive.
s**(341/8)
Simplify i*i/(i/((i/(i/(((i**(-17)*i)/i)/i)))/i))*i*i*i**(3/8) assuming i is positive.
i**(-125/8)
Simplify (l**1)**(7/5) assuming l is positive.
l**(7/5)
Simplify (o*o**(-2/23)*o/((o*o*o/o**(1/4)*o*o*o*o)/o))**(12/11) assuming o is positive.
o**(-1059/253)
Simplify (u**(2/37)/u)/u*u*(u**13/u)/u assuming u is positive.
u**(372/37)
Simplify ((k/((k*k/(k/k**(-4/3)))/k)*k)/k)/(((k**13/k)/k)/k) assuming k is positive.
k**(-23/3)
Simplify (u**(-1/3))**(-15)*u**(3/2)/((u/(u*u*u**1)*u)/u) assuming u is positive.
u**(17/2)
Simplify (y**1/y)**(-10)/(y**0/y**(3/5)) assuming y is positive.
y**(3/5)
Simplify (y**(-3/4)*y)/(y*y**3)*y**(2/9)/y**(-5) assuming y is positive.
y**(53/36)
Simplify (j**(-1/16)/(j*j**(5/7)*j))**(-2/79) assuming j is positive.
j**(311/4424)
Simplify u*u**(-1/10)*u*u**(-11/2) assuming u is positive.
u**(-18/5)
Simplify u**(-1/24)*u*u**(3/7) assuming u is positive.
u**(233/168)
Simplify ((i**1)**(-15/8))**(-14) assuming i is positive.
i**(105/4)
Simplify (n**(3/4)*n)**(2/7) assuming n is positive.
sqrt(n)
Simplify (c/(c*c**0*c))**(-16)/(c**(-2/5))**(-1/15) assuming c is positive.
c**(1198/75)
Simplify (r**(-2)/r)**(-1/23) assuming r is positive.
r**(3/23)
Simplify ((o**(3/2))**19)**(-6) assuming o is positive.
o**(-171)
Simplify t**(-2/65)*t*(t*t**(-4)*t*t)/t assuming t is positive.
t**(-67/65)
Simplify f**4*f/(f**(-4/3)*f) assuming f is positive.
f**(16/3)
Simplify ((x/x**7)/x*x*x*x**(-3))**(-2/47) assuming x is positive.
x**(16/47)
Simplify i**9/(i**(-3)/i)*(i/(i**9/i))/i**1 assuming i is positive.
i**5
Simplify (b**(-2/7)/b)**(-2)*(b**(2/3))**(-12/11) assuming b is positive.
b**(142/77)
Simplify k/(k**12/k)*(k*k**16)/k assuming k is positive.
k**6
Simplify (v**(-2)/v)/v**(5/3) assuming v is positive.
v**(-14/3)
Simplify (d*d**(-14))/(d**(-2/35)/d) assuming d is positive.
d**(-418/35)
Simplify f/f**(-17)*f/(f**(6/13)/f*f)*f assuming f is positive.
f**(254/13)
Simplify c/(c**0*c)*c/c**(-1/14)*c/(c/(c**3*c))*(c*c**(-6))/c assuming c is positive.
c**(-13/14)
Simplify (g/(g/(g*(g/g**(15/8)*g)/g))*g)**(-36) assuming g is positive.
g**(-81/2)
Simplify (q**(-12)*q**16)**25 assuming q is positive.
q**100
Simplify (o**20)**(-38) assuming o is positive.
o**(-760)
Simplify (k**(-1/4)*k)**(-47) assuming k is positive.
k**(-141/4)
Simplify (h**(2/3)/h**(-3/5))/(h**(-6)*(h*h*h**(2/3))/h) assuming h is positive.
h**(28/5)
Simplify ((s**(-6)*s)/s*(s/s**6)/s)/((s/(s/(s/(s*(s/s**(-8))/s))))/(s*s**6)) assuming s is positive.
s**3
Simplify j**0/j*j*j/j**(-5/8) assuming j is positive.
j**(13/8)
Simplify (v**(-1/6)/(v*((v/(v**(4/7)/v)*v*v)/v)/v))/(v**(-1/7)*v**5) assuming v is positive.
v**(-313/42)
Simplify x**(-7)*x**28*x assuming x is positive.
x**22
Simplify (m**(2/9)/(m**(-5/7)/m))**(7/5) assuming m is positive.
m**(122/45)
Simplify (h*(h**(-2/67)*h)/h)/h*h**14 assuming h is positive.
h**(936/67)
Simplify (r/(r/(r**0/r))*r**(-1/3))**39 assuming r is positive.
r**(-52)
Simplify ((s*s/(s*s**7)*s)/s**(-1/4))/(s**1*s*s**(-7)*s) assuming s is positive.
s**(-3/4)
Simplify (r*r**32)/r*r/r**(-1/6) assuming r is positive.
r**(199/6)
Simplify ((j*(j/j**1)/j)/j)**(-8/5)/(((j**(-1)/j)/j)/j)**(-1/3) assuming j is positive.
j**(4/15)
Simplify (t**6*t**(3/2)*t)**(-13/5) assuming t is positive.
t**(-221/10)
Simplify (j**(-2))**(-43)*j*j**2*j*j/j**(4/5) assuming j is positive.
j**(451/5)
Simplify p/(p*p**(-27)*p*p)*p*((p*p**(-8/5))/p)/p assuming p is positive.
p**(117/5)
Simplify l*l**6*l/((l/(l/(l**(-4)/l*l)*l)*l)/l*l)*l*(l**(-1))**(-2/61) assuming l is positive.
l**(795/61)
Simplify ((y*y**(-5/4))/(y*y**(-2/11)))**(-9) assuming y is positive.
y**(423/44)
Simplify u**(-5)*u/(u**(-5)*u)*u*u/u**(2/17)*u/(u*u/(u*u/(u**(-5)/u))) assuming u is positive.
u**(151/17)
Simplify k**3/(k/(((k/(k*k/k**(-4/7)))/k)/k))*((k*k**(-3)*k*k)/k)/((k**(-1/6)/k)/k) assuming k is positive.
k**(-17/42)
Simplify b*b**19/b*b*b*b**(-23)*b assuming b is positive.
1/b
Simplify (
|
{
"pile_set_name": "DM Mathematics"
}
|
r when four letters picked without replacement from {e: 4, z: 2, o: 2, w: 1, r: 1}?
4/105
Four letters picked without replacement from {u: 1, x: 2, n: 1, v: 1, f: 1, b: 2}. Give prob of picking 1 n, 1 f, 1 u, and 1 b.
1/35
Calculate prob of picking 2 d when two letters picked without replacement from {r: 2, d: 16}.
40/51
Calculate prob of picking 3 j and 1 p when four letters picked without replacement from jjpjpjjjjjj.
28/55
Calculate prob of picking 1 s and 1 t when two letters picked without replacement from ssrrtosraro.
3/55
Two letters picked without replacement from {x: 2, s: 3, i: 3}. What is prob of picking 2 i?
3/28
What is prob of picking 2 p and 1 j when three letters picked without replacement from {h: 1, p: 2, j: 1, z: 1, x: 2}?
1/35
Two letters picked without replacement from {m: 2, w: 3, q: 5, c: 1, h: 3, n: 1}. Give prob of picking 2 w.
1/35
Four letters picked without replacement from {k: 1, p: 4, m: 3, i: 2}. Give prob of picking 1 k, 2 p, and 1 i.
2/35
What is prob of picking 3 m and 1 b when four letters picked without replacement from bmbddbdmbmdd?
4/495
What is prob of picking 1 b and 1 i when two letters picked without replacement from {c: 1, i: 1, o: 1, b: 2, t: 5}?
2/45
What is prob of picking 1 x and 1 c when two letters picked without replacement from xyyyyyyycxyyyyxyy?
3/136
Four letters picked without replacement from uufeflu. What is prob of picking 3 u and 1 e?
1/35
Calculate prob of picking 2 m when two letters picked without replacement from mmdn.
1/6
Calculate prob of picking 1 q and 2 o when three letters picked without replacement from {b: 1, q: 1, h: 1, l: 2, o: 5}.
1/12
Calculate prob of picking 1 a and 1 u when two letters picked without replacement from duasdkdsvvv.
1/55
Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, l: 4, a: 1}.
1/21
Calculate prob of picking 4 d when four letters picked without replacement from {w: 3, d: 5}.
1/14
Calculate prob of picking 2 f when two letters picked without replacement from fertfffffrfffr.
36/91
Calculate prob of picking 2 b and 1 l when three letters picked without replacement from blllbldbdl.
1/8
Two letters picked without replacement from rrrrqimwqiqqiq. Give prob of picking 1 r and 1 w.
4/91
Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {y: 10, h: 4, k: 1, x: 2, p: 2}.
2/171
Three letters picked without replacement from {g: 2, s: 2, u: 3, f: 4, b: 1}. What is prob of picking 2 s and 1 f?
1/55
Four letters picked without replacement from {j: 1, m: 3, h: 1}. Give prob of picking 3 m and 1 h.
1/5
Two letters picked without replacement from {g: 3, o: 1, w: 5, r: 1}. What is prob of picking 1 o and 1 w?
1/9
Calculate prob of picking 2 i when two letters picked without replacement from iadaiaomakaoaom.
1/105
Calculate prob of picking 1 h and 1 a when two letters picked without replacement from lzlhhhahhlhz.
1/11
Calculate prob of picking 1 p and 1 c when two letters picked without replacement from hcpphpchpph.
2/11
Calculate prob of picking 1 q and 3 w when four letters picked without replacement from {w: 3, q: 12}.
4/455
Calculate prob of picking 1 n and 2 k when three letters picked without replacement from {a: 6, k: 2, n: 2, u: 5, t: 1, i: 3}.
2/969
Three letters picked without replacement from {x: 2, r: 1, d: 1, v: 2, h: 1}. What is prob of picking 1 x, 1 d, and 1 v?
4/35
Three letters picked without replacement from {q: 4, u: 7}. What is prob of picking 1 q and 2 u?
28/55
Calculate prob of picking 1 z and 2 i when three letters picked without replacement from {i: 18, z: 2}.
51/190
Four letters picked without replacement from {e: 2, f: 5, r: 2}. Give prob of picking 2 f and 2 r.
5/63
Calculate prob of picking 1 m and 2 q when three letters picked without replacement from mlqlqllmmlqql.
9/143
Two letters picked without replacement from {b: 13, j: 3, l: 1, o: 2}. What is prob of picking 1 l and 1 j?
1/57
Three letters picked without replacement from jjpjjpjjpbbjjjjjpbjj. Give prob of picking 2 p and 1 j.
13/190
Three letters picked without replacement from {k: 1, s: 1, d: 1, n: 1, v: 1}. What is prob of picking 1 s, 1 v, and 1 d?
1/10
What is prob of picking 2 d when two letters picked without replacement from dfldffllfldlf?
1/26
Four letters picked without replacement from vdvddvddvvdv. Give prob of picking 4 v.
1/33
Three letters picked without replacement from {v: 7, e: 1, h: 2, t: 6, n: 1}. Give prob of picking 1 n, 1 e, and 1 t.
3/340
Three letters picked without replacement from zgggnggnzgzzznzgn. What is prob of picking 2 n and 1 g?
21/340
Calculate prob of picking 1 q, 2 v, and 1 f when four letters picked without replacement from {f: 1, q: 2, e: 1, v: 2, r: 1, y: 1}.
1/35
Four letters picked without replacement from {h: 2, g: 1, i: 3, b: 5, u: 3, y: 1}. Give prob of picking 1 u, 1 b, 1 y, and 1 g.
1/91
Two letters picked without replacement from {f: 3, g: 1, n: 5, c: 3, l: 8}. What is prob of picking 2 l?
14/95
What is prob of picking 1 f, 2 n, and 1 t when four letters picked without replacement from {f: 1, t: 6, n: 4}?
6/55
Three letters picked without replacement from {u: 10}. What is prob of picking 3 u?
1
What is prob of picking 3 x when three letters picked without replacement from xxxxxxxxx?
1
Four letters picked without replacement from wallwlllwlla. Give prob of picking 4 l.
7/99
Two letters picked without replacement from {q: 8, f: 3, r: 6}. What is prob of picking 1 r and 1 q?
6/17
Calculate prob of picking 1 m, 1 l, and 1 y when three letters picked without replacement from cogymlg.
1/35
Calculate prob of picking 1 d and 3 s when four letters picked without replacement from {c: 4, d: 5, s: 5}.
50/1001
What is prob of picking 2 c and 1 p when three letters picked without replacement from ppppmpmppplpmcpc?
1/56
What is prob of picking 1 k and 3 g when four letters picked without replacement from kggkkgggkggggk?
60/143
Three letters picked without replacement from {o: 4, y: 2}. What is prob of picking 3 o?
1/5
Calculate prob of picking 4 t when four letters picked without replacement from {o: 2, q: 1, c: 1, t: 5}.
5/126
Three letters picked without replacement from oxjsaok. Give prob of picking 1 j, 1 a, and 1 x.
1/35
What is prob of picking 1 g and 1 d when two letters picked without replacement from dggaddaggd?
16/45
Two letters picked without replacement from {x: 2, l: 1, d: 4, e: 2, t: 1}. What is prob of picking 2 e?
1/45
Four letters picked without replacement from {n: 1, v: 2, h: 1, k: 2, i: 9, w: 3}. Give prob of picking 1 v, 2 w, and 1 i.
3/170
What is prob of picking 1 r and 1 k when two letters picked without replacement from {r: 1, s: 4, u: 2, k: 1, x: 3}?
1/55
Three letters picked without replacement from {u: 7, h: 3, m: 2}. Give prob of picking 3 h.
1/220
Calculate prob of picking 2 b and 1 z when three letters picked without replacement from {l: 1, z: 7, v: 2, b: 3, p: 6}.
7/323
Two letters picked without replacement from umv. Give prob of picking 1 m and 1 v.
1/3
Calculate prob of picking 4 r when four letters picked without replacement from rrhhrrrrrhrrrh.
30/143
Two letters picked without replacement from vvvzvz. What is prob of picking 2 z?
1/15
Calculate prob of picking 4 n when four letters picked without replacement from nnvvnnnvnn.
1/6
Calculate prob of picking 2 o when two letters picked without replacement from orrorrprdddw.
1/66
Calculate prob of picking 4 h when four letters picked without replacement from {h: 5}.
1
What is prob of picking 1 b and 1 r when two letters picked without replacement from {b: 1, r: 3}?
1/2
Three letters picked without replacement from jccycyy. Give prob of picking 3 c.
1/35
Four letters picked without replacement from ooooo. What is prob of picking 4 o?
1
Three letters picked without replacement from {d: 2, o: 3}. What is prob of picking 1 o and 2 d?
3/10
What is prob of picking 2 y and 2 o when four letters picked without replacement from yooozbbzoyzyyoobzb?
1/34
Three letters picked without replacement from {w: 3, s: 3}. Give prob of picking 3 s.
1/20
Calculate prob of picking 2 y and 1 r when three letters picked without replacement from {h: 4, y: 6, r: 7}.
21/136
What is prob of picking 1 i and 1 f when two l
|
{
"pile_set_name": "DM Mathematics"
}
|
42, 58, 80?
108
What is the next term in 10, 115, 220, 325?
430
What is the next term in 13, 29, 57, 103, 173, 273, 409?
587
What is the next term in -292, -1199, -2702, -4795, -7472, -10727, -14554, -18947?
-23900
What comes next: 126, 134, 142, 150?
158
What is next in -2951, -5903, -8855, -11807, -14759?
-17711
What is the next term in -31, -9, 39, 125, 261?
459
What comes next: 12, 43, 124, 279, 532, 907?
1428
What is next in -775, -1548, -2321, -3094?
-3867
What is the next term in 11, 5, -1, -7, -13?
-19
What is next in 4067, 16268, 36603, 65072, 101675?
146412
What is the next term in -129, -259, -389, -519?
-649
What is the next term in -205, -408, -611?
-814
What comes next: -5, -18, -55, -128, -249, -430?
-683
What comes next: 359, 379, 399, 419?
439
What comes next: -47, -132, -231, -338, -447, -552, -647, -726?
-783
What comes next: -144, -287, -432, -579, -728?
-879
What comes next: 26, 31, 24, -1, -50?
-129
What is the next term in -25, -64, -103, -142, -181, -220?
-259
What is the next term in 3304, 3305, 3306, 3307, 3308?
3309
What is the next term in 21, 70, 151, 264, 409?
586
What comes next: -232, -463, -694, -925, -1156, -1387?
-1618
What comes next: 13, 79, 191, 349, 553, 803, 1099?
1441
What comes next: 235, 211, 187, 163, 139, 115?
91
What is next in 0, 14, 34, 54, 68, 70, 54?
14
What comes next: 73, 290, 649, 1150, 1793?
2578
What comes next: -39, -37, -35, -33, -31?
-29
What is next in 44, 87, 130?
173
What comes next: 24, 47, 50, 21, -52, -181?
-378
What is next in -2229, -4463, -6697, -8931, -11165?
-13399
What is next in 1, -2, -5?
-8
What is the next term in -30, -65, -104, -147, -194, -245, -300?
-359
What comes next: 19, 84, 199, 370, 603?
904
What comes next: 21, 33, 45?
57
What comes next: -2160, -2163, -2166, -2169, -2172?
-2175
What is the next term in -65, -54, -31, 10, 75, 170, 301?
474
What comes next: -18, -75, -174, -321, -522, -783, -1110?
-1509
What is next in 1937, 1929, 1919, 1907, 1893?
1877
What is next in -186, -373, -560, -747?
-934
What is next in 1145, 4573, 10287, 18287?
28573
What comes next: -10, -18, -26, -40, -66, -110?
-178
What comes next: 90, 221, 362, 519, 698, 905?
1146
What is next in 14, 50, 86, 122?
158
What comes next: -42, -60, -90, -132, -186, -252?
-330
What comes next: 10, 28, 56, 94, 142, 200, 268?
346
What is the next term in -524, -2127, -4808, -8573, -13428, -19379?
-26432
What comes next: -99, -207, -315?
-423
What is the next term in -218, -252, -308, -386?
-486
What comes next: -5252, -5249, -5246, -5243, -5240?
-5237
What comes next: -46, -44, -40, -34, -26?
-16
What comes next: -517, -1042, -1569, -2098, -2629?
-3162
What is the next term in 57, 99, 213, 435, 801, 1347, 2109?
3123
What comes next: -18, -10, -2, 6, 14, 22?
30
What comes next: 15, 2, -71, -234, -517?
-950
What is the next term in 1789, 1790, 1791, 1792, 1793, 1794?
1795
What is next in 216, 217, 218, 219?
220
What comes next: -232, -283, -334, -385?
-436
What is next in 54, 61, 72, 87, 106, 129?
156
What comes next: -36, -37, -40, -45, -52, -61, -72?
-85
What comes next: 1757, 1754, 1749, 1742, 1733?
1722
What is next in 2, 0, -8, -22, -42?
-68
What comes next: 58, 66, 78, 94?
114
What comes next: -21, -60, -103, -150?
-201
What comes next: -10, -19, -28, -37, -46?
-55
What is next in 24, -13, -48, -81?
-112
What is the next term in -16, -40, -70, -106, -148?
-196
What comes next: -31, -77, -125, -175, -227, -281?
-337
What comes next: -66, -149, -232?
-315
What is the next term in -8527, -8525, -8523, -8521?
-8519
What is next in 185, 138, 59, -52, -195, -370, -577?
-816
What is the next term in -22, -20, -6, 26, 82, 168, 290?
454
What is next in -304, -302, -300?
-298
What is the next term in -30, -40, -46, -48?
-46
What comes next: 3152, 6304, 9456, 12608?
15760
What is the next term in -12, 1, 22, 51, 88, 133?
186
What comes next: -32, -106, -180, -254, -328, -402?
-476
What comes next: -2537, -2541, -2547, -2555, -2565, -2577, -2591?
-2607
What comes next: 61, 121, 167, 193, 193, 161, 91, -23?
-187
What comes next: 0, -5, -10, -15?
-20
What comes next: -33, -205, -667, -1563, -3037, -5233, -8295?
-12367
What is the next term in 123, 139, 155, 171?
187
What is next in -579, -583, -585, -585, -583, -579, -573?
-565
What comes next: 82, 354, 814, 1468, 2322?
3382
What comes next: -160, -161, -162?
-163
What is the next term in -700, -682, -662, -640?
-616
What is the next term in -203, -423, -645, -869?
-1095
What is the next term in 4, -12, -30, -50, -72, -96?
-122
What comes next: 78, 93, 98, 87, 54, -7, -102, -237?
-418
What is the next term in -46, -411, -1400, -3325, -6498, -11231, -17836, -26625?
-37910
What is the next term in -760, -747, -732, -715, -696?
-675
What is the next term in 161, 259, 371, 503, 661, 851, 1079?
1351
What is the next term in -5218, -5222, -5226, -5230, -5234?
-5238
What comes next: 825, 812, 789, 750, 689, 600?
477
What is the next term in 81, 88, 99, 114, 133?
156
What comes next: 1, 83, 213, 385, 593, 831, 1093?
1373
What is next in 9, 39, 99, 195, 333, 519, 759?
1059
What comes next: -75, -153, -231?
-309
What is next in 75, 95, 135, 201, 299, 435, 615?
845
What comes next: -20, 7, 44, 85, 124?
155
What is next in -20, -44, -82, -140, -224, -340?
-494
What is next in 146, 290, 432, 572, 710, 846, 980?
1112
What comes next: 1405, 1401, 1395, 1387, 1377?
1365
What comes next: 47, 199, 459, 833, 1327, 1947, 2699?
3589
What is next in -63, -60, -57, -54, -51?
-48
What is next in -1325, -1329, -1335, -1343?
-1353
What is next in -798, -661, -512, -345, -154?
67
What is the next term in 9, 26, 63, 126, 221?
354
What is next in -34, -38, -46, -58, -74?
-94
What is the next term in -10977, -10973, -10967, -10959, -10949, -10937, -10923?
-10907
What comes next: -50, -85, -112, -125, -118, -85?
-20
What is the next term in -175, -350, -525, -700, -875?
-1050
What is the next term in 95, 99, 105, 113, 123, 135, 149?
165
What comes next: -31, -167, -393, -709, -1115, -1611, -2197?
-2873
What comes next: 724, 717, 710?
703
What comes next: -18, -18, 8, 72, 186, 362, 612?
948
What is the next term in -48, -73, -96, -111, -112, -93, -48, 29?
144
What is next in -2492, -2470, -2432, -2372, -2284, -2162?
-2000
What comes next: -70, -131, -192, -253, -314, -375?
-436
What comes next: 256, 512, 760, 994, 1208, 1396?
1552
What comes next: -1079, -4282, -9619, -17090, -26695, -38434?
-52307
What is next in -3, -10, -23, -42, -67, -98?
-135
What is next in 111, 228, 355, 492, 639?
796
What is next in -290, -577, -864, -1151, -1438, -1725?
-2012
What is next in -187, -197, -213, -235?
-263
What is the next term in 132, 149, 152, 135, 92?
17
What comes next: 13, 57, 111, 181, 273, 393, 547, 741?
981
What comes next: 154, 154, 144, 118, 70, -6?
-116
What comes next: -358, -433, -564, -757, -1018, -1353?
-1768
What is next in -177, -174, -169, -162?
-153
What is next in -4871, -4872, -4873, -4874?
-4875
What is the next term in -43, -44, -45, -46, -47, -48?
-49
What is next in 10097, 10096, 10095, 10094?
10093
What is the next term in 123, 96, 43, -42, -165?
-332
What is next in -1276, -2548, -3832, -5134, -6460, -7816?
-9208
What comes next: 100, 204, 306, 406, 504, 600, 694?
786
What is the next term in -102, -87, -50, 21, 138, 313, 558, 885?
1306
What is next in -336, -309, -268, -207, -120, -1, 156, 357?
608
What comes next: -26, -157, -368, -653, -1006, -1421, -1892, -2413?
-2978
What is the next term in 180, 183, 186?
189
What is next in 1, -14, -29, -38, -35?
-14
What comes next: -58, -117, -172, -223, -270?
-313
What is the next term in -2, 39, 108, 205?
330
What is the next term in 5974, 11950, 17926, 23902, 29878, 35854?
41830
What is next in -260, -252, -230, -188, -120, -20, 118, 300?
532
What is the next term in 39, 33, 23, 9, -9, -31?
-57
What is the next term in 146, 298, 450, 602, 754?
906
What comes next: -155, -632, -1429, -2546, -3983, -5740?
-7817
What is next in -27, -62, -107, -162?
-227
What comes next: 101, 221, 341, 461, 581, 701?
821
What comes next: 7, 5, -1, -11, -25, -43, -65?
-91
What comes next: 72, -4, -78, -150?
-220
What comes next: -166, -239, -312, -385, -458, -531?
-604
What is the next term in -108, -181, -252, -321, -388, -453, -516?
-577
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
8257469 composite?
False
Is 10834097743 a prime number?
False
Is 1757384399 a prime number?
True
Is 2328441238 a composite number?
True
Is 4586297623 a prime number?
False
Is 264880678999 a composite number?
False
Is 3302310017 a prime number?
True
Is 96659130851 composite?
True
Is 16302647687 prime?
False
Is 88312735373 a composite number?
True
Is 5516726197 a composite number?
False
Is 17800378807 a composite number?
False
Is 861444347 a prime number?
True
Is 145744629089 a prime number?
True
Is 12244449113 a composite number?
True
Is 201324859 composite?
True
Is 4257547883 a composite number?
True
Is 1519171597 prime?
False
Is 1563407513 a prime number?
True
Is 28914272069 prime?
True
Is 38330850377 a composite number?
True
Is 33604143149 a prime number?
True
Is 675428393 a composite number?
False
Is 72426001553 prime?
True
Is 297138553 prime?
False
Is 87717165763 composite?
True
Is 418186193 a composite number?
False
Is 286262939 a composite number?
False
Is 3526142981 a prime number?
True
Is 5965155019 a composite number?
True
Is 27974969129 a composite number?
True
Is 6235686461 composite?
False
Is 236826407 a composite number?
False
Is 90709957999 prime?
True
Is 125920158101 prime?
False
Is 203858293 prime?
True
Is 1727466071 a composite number?
False
Is 516660757 a prime number?
False
Is 2678314187 composite?
True
Is 1511831021 a composite number?
False
Is 14528702807 composite?
True
Is 126496681 composite?
False
Is 184251209 a composite number?
True
Is 9525886339 prime?
False
Is 93090269683 a composite number?
True
Is 310739215 a composite number?
True
Is 392116477 composite?
False
Is 7735771339 prime?
True
Is 47813039 a prime number?
False
Is 2138527 a composite number?
False
Is 11062716879 prime?
False
Is 2045308619 a prime number?
False
Is 4699227847 a prime number?
False
Is 48231192323 composite?
True
Is 4335452351 a prime number?
True
Is 136978409 a prime number?
False
Is 734062853 prime?
False
Is 93512189 composite?
True
Is 97461154069 a prime number?
False
Is 575691527 composite?
True
Is 71261142517 prime?
False
Is 4927163237 a prime number?
True
Is 40940051567 composite?
False
Is 606581653 a composite number?
True
Is 9629907821 composite?
False
Is 680465819 a composite number?
True
Is 92045579 composite?
False
Is 3682429 composite?
False
Is 237082121 composite?
False
Is 5086714027 a prime number?
True
Is 29963111419 prime?
False
Is 3156622289 a prime number?
False
Is 645695815 composite?
True
Is 4219079933 prime?
False
Is 6280991131 a composite number?
True
Is 2584015957 a prime number?
False
Is 36508109973 a prime number?
False
Is 303215789 prime?
False
Is 22993205045 a composite number?
True
Is 37152451307 a prime number?
True
Is 24591640201 a composite number?
False
Is 52046289073 a prime number?
False
Is 572599477 prime?
True
Is 1661907139 prime?
True
Is 213783287 composite?
True
Is 8359788191 a prime number?
True
Is 35623493 a prime number?
True
Is 960371 prime?
False
Is 2953219 prime?
True
Is 2279135809 composite?
False
Is 391307867 a prime number?
True
Is 1814545189 prime?
True
Is 14819873 a composite number?
False
Is 995556997 a prime number?
False
Is 22218153563 prime?
True
Is 9395017523 a composite number?
True
Is 1783661839 a composite number?
False
Is 2344864189 a composite number?
True
Is 5571138739 a prime number?
True
Is 42053358469 composite?
True
Is 3983318081 composite?
False
Is 257927003 a composite number?
False
Is 2912315437 a composite number?
True
Is 7366951457 a prime number?
True
Is 3390325945 composite?
True
Is 20691053 a prime number?
False
Is 7742823545 prime?
False
Is 88996738849 a prime number?
False
Is 1894344623 a prime number?
True
Is 27120510257 composite?
False
Is 87149247233 composite?
False
Is 157815740593 a prime number?
False
Is 35993642147 a prime number?
True
Is 1285978513 a prime number?
True
Is 9551717963 composite?
False
Is 16915319 a composite number?
False
Is 123471806281 composite?
True
Is 6833900587 a composite number?
False
Is 36053359663 a composite number?
True
Is 106647131609 a composite number?
True
Is 68232431719 a composite number?
False
Is 25725907034 composite?
True
Is 94765746127 composite?
True
Is 1682339383 a prime number?
True
Is 182030851 a prime number?
False
Is 2972552819 a composite number?
False
Is 146427847934 prime?
False
Is 4315691229 composite?
True
Is 8388823847 prime?
True
Is 158790409 composite?
False
Is 15860439141 a prime number?
False
Is 84025222843 a composite number?
False
Is 831631783 a composite number?
True
Is 3357192911 composite?
True
Is 6843888347 composite?
True
Is 5639325277 a prime number?
False
Is 1822550137 a composite number?
False
Is 3699904699 a composite number?
False
Is 22818540707 composite?
False
Is 2142866917 a prime number?
False
Is 159745547803 a prime number?
False
Is 30847699943 composite?
False
Is 2946224711 composite?
True
Is 21498998291 composite?
False
Is 48375515291 a prime number?
False
Is 823002637 composite?
False
Is 1242535379 prime?
False
Is 7004170819 composite?
False
Is 4089218591 a composite number?
False
Is 713831778181 a composite number?
False
Is 2505677861 composite?
False
Is 2778955823 prime?
False
Is 408043897 a composite number?
True
Is 722427527 a prime number?
True
Is 99073591 a composite number?
True
Is 25619438959 a composite number?
False
Is 19169537591 prime?
True
Is 4234116083 prime?
True
Is 99965277071 composite?
True
Is 7431140833 composite?
False
Is 870157777 a prime number?
True
Is 17445628295 prime?
False
Is 5145802741 a composite number?
True
Is 1015226761 prime?
True
Is 1817106769 composite?
False
Is 757711334 composite?
True
Is 913987037 a composite number?
True
Is 2509947413 a prime number?
False
Is 4640029697 composite?
False
Is 158152789 prime?
False
Is 32551419623 a composite number?
False
Is 77279483 a prime number?
True
Is 38775797 composite?
False
Is 10127245343 a composite number?
False
Is 297059197 a prime number?
False
Is 432858821 composite?
False
Is 185655482587 prime?
False
Is 426306499 a prime number?
True
Is 3823080689 prime?
True
Is 48741145931 a composite number?
False
Is 932177503 composite?
True
Is 12230806751 a composite number?
True
Is 47725500073 composite?
False
Is 7782237709 composite?
True
Is 32948411141 a composite number?
True
Is 10376679163 a prime number?
True
Is 182627879 composite?
True
Is 30101527865 a prime number?
False
Is 1466792663 prime?
False
Is 11129554819 composite?
False
Is 234429058 a prime number?
False
Is 4805197699 a composite number?
False
Is 76870319 prime?
True
Is 3109668047 a prime number?
False
Is 293164817 composite?
True
Is 16767811 prime?
False
Is 52191367511 a composite number?
False
Is 79499009257 prime?
True
Is 12992826607 a prime number?
True
Is 31870889 a prime number?
False
Is 5019686027 composite?
False
Is 47272080017 composite?
True
Is 642931669 composite?
False
Is 135655043 prime?
True
Is 67565029 a prime number?
False
Is 14648581 a prime number?
True
Is 51965132717 composite?
False
Is 80195515429 composite?
True
Is 7083966049 a composite number?
True
Is 12440499263 a composite number?
False
Is 93384193 a composite number?
True
Is 30303356771 prime?
False
Is 202756004558 a composite number?
True
Is 9016496843 a composite number?
False
Is 13800649189 a composite number?
False
Is 64151490323 a prime number?
False
Is 167928377 composite?
False
Is 3436415141 a prime number?
True
Is 1941556171 composite?
True
Is 11620773221 a composite number?
False
Is 38235695999 a composite number?
False
Is 1087621967 a prime number?
True
Is 4388368981 prime?
True
Is 7591333143 composite?
True
Is 943965359 prime?
True
Is 2834408713 prime?
True
Is 1685157641 a composite number?
False
Is 12997651 a prime number?
True
Is 18027021499 a prime number?
False
Is 14993257289 a prime number?
True
Is 759551269 a composite number?
True
Is 641850493 composite?
True
Is 18989185309 a prime number?
False
Is 70175653 prime?
False
Is 122870426521 composite?
True
Is 7641718261 prime?
False
Is 161223917 prime?
True
Is 228087817 a prime number?
True
Is 3034159679 a prime number?
False
Is 22349462279 composite?
False
Is 21625658419 prime?
True
Is 39850546251 a composite number?
True
Is 15822607807 a composite number?
True
Is 1413626971 prime?
False
Is 60254585 prime?
F
|
{
"pile_set_name": "DM Mathematics"
}
|
ed without replacement from cvhwhvvchvhcwhv. Give prob of sequence vchc.
5/1092
What is prob of sequence uuu when three letters picked without replacement from {u: 9}?
1
What is prob of sequence wwp when three letters picked without replacement from {w: 3, m: 2, p: 1, b: 7, x: 4}?
1/680
Calculate prob of sequence rg when two letters picked without replacement from {r: 3, g: 1, h: 1, m: 5, u: 1, t: 1}.
1/44
Three letters picked without replacement from {k: 1, j: 1, s: 2, i: 3}. Give prob of sequence kii.
1/35
Calculate prob of sequence gd when two letters picked without replacement from xgggdxxx.
3/56
Calculate prob of sequence jdkk when four letters picked without replacement from kkjjjjjkjkkjkkdkjjjk.
2/323
Three letters picked without replacement from {d: 17, r: 2}. What is prob of sequence rdr?
1/171
What is prob of sequence xxi when three letters picked without replacement from {i: 1, x: 12}?
1/13
Calculate prob of sequence zcck when four letters picked without replacement from {z: 1, s: 7, k: 4, c: 2, u: 6}.
1/14535
What is prob of sequence hsxs when four letters picked without replacement from {x: 1, s: 2, h: 6, r: 4}?
1/1430
Two letters picked without replacement from aqaaqqaaaquaua. Give prob of sequence aq.
16/91
Calculate prob of sequence aj when two letters picked without replacement from {a: 4, j: 1, e: 8}.
1/39
What is prob of sequence gg when two letters picked without replacement from {g: 9, w: 11}?
18/95
Calculate prob of sequence ff when two letters picked without replacement from gffffffffgffgfftf.
39/68
Two letters picked without replacement from {s: 3, k: 13, x: 1}. Give prob of sequence xk.
13/272
What is prob of sequence kkqx when four letters picked without replacement from qkxkkkkqqqqqqkkkkqkk?
22/2907
What is prob of sequence ey when two letters picked without replacement from {y: 4, e: 9, i: 3}?
3/20
Three letters picked without replacement from aaamammamamammmammma. Give prob of sequence aaa.
7/95
What is prob of sequence jxcc when four letters picked without replacement from {x: 1, d: 1, c: 4, j: 4}?
1/105
Four letters picked without replacement from mltclrjc. What is prob of sequence jccm?
1/840
Calculate prob of sequence yyy when three letters picked without replacement from oyfyyyoyojyrooyoo.
7/136
What is prob of sequence xx when two letters picked without replacement from kwwwxkwxkwwkkkx?
1/35
Three letters picked without replacement from zzttfzzfzzzz. Give prob of sequence tft.
1/330
What is prob of sequence lllc when four letters picked without replacement from {l: 3, c: 7}?
1/120
Two letters picked without replacement from nfn. Give prob of sequence fn.
1/3
Two letters picked without replacement from qsssqxssuh. Give prob of sequence xs.
1/18
Two letters picked without replacement from ddmdmdmmmbdddbdwmwm. Give prob of sequence db.
8/171
What is prob of sequence izn when three letters picked without replacement from {n: 1, j: 7, z: 1, p: 1, g: 5, i: 4}?
2/2907
What is prob of sequence to when two letters picked without replacement from ypotppyayppp?
1/132
What is prob of sequence wk when two letters picked without replacement from {i: 5, w: 3, p: 1, k: 1}?
1/30
Four letters picked without replacement from {f: 3, v: 2, b: 5, l: 5, t: 5}. Give prob of sequence lvbl.
5/2907
Calculate prob of sequence wwq when three letters picked without replacement from {q: 5, e: 1, w: 4}.
1/12
What is prob of sequence gg when two letters picked without replacement from {w: 2, u: 2, g: 2}?
1/15
What is prob of sequence dzlz when four letters picked without replacement from dllzdddddzdllddd?
1/546
Two letters picked without replacement from lww. Give prob of sequence ww.
1/3
What is prob of sequence eee when three letters picked without replacement from {e: 13, l: 6}?
286/969
Four letters picked without replacement from wvviviuuiuuwffwi. Give prob of sequence wwfv.
3/3640
Calculate prob of sequence jjjs when four letters picked without replacement from {s: 8, j: 5}.
4/143
Calculate prob of sequence bq when two letters picked without replacement from {k: 1, b: 1, n: 6, q: 3, j: 3, z: 3}.
3/272
Two letters picked without replacement from kljvl. Give prob of sequence vj.
1/20
Calculate prob of sequence jje when three letters picked without replacement from bjjebxjxbbe.
2/165
What is prob of sequence mxdd when four letters picked without replacement from {c: 2, x: 3, m: 2, d: 3, e: 1, y: 1}?
1/330
Three letters picked without replacement from suuss. What is prob of sequence uss?
1/5
What is prob of sequence hpll when four letters picked without replacement from {h: 5, p: 4, l: 2}?
1/198
What is prob of sequence qq when two letters picked without replacement from {q: 5, a: 1, f: 11}?
5/68
What is prob of sequence dvp when three letters picked without replacement from {p: 1, v: 1, m: 1, d: 1, z: 1}?
1/60
Two letters picked without replacement from ddddjdjddjjjj. Give prob of sequence dj.
7/26
What is prob of sequence kmj when three letters picked without replacement from cjjkfjcccjqmjff?
1/546
What is prob of sequence fsmc when four letters picked without replacement from {m: 1, g: 2, c: 3, f: 1, s: 10}?
1/1904
Four letters picked without replacement from {o: 3, q: 4, i: 4, n: 1, c: 4, b: 4}. What is prob of sequence qqci?
8/4845
What is prob of sequence ofoz when four letters picked without replacement from zfhacoah?
0
Calculate prob of sequence kv when two letters picked without replacement from {k: 3, g: 3, v: 1, x: 8, u: 3}.
1/102
Calculate prob of sequence ed when two letters picked without replacement from {z: 2, d: 3, o: 6, e: 1, n: 2}.
3/182
Calculate prob of sequence uuu when three letters picked without replacement from {u: 5, o: 14}.
10/969
Two letters picked without replacement from {v: 1, i: 4, s: 6, e: 2}. Give prob of sequence vs.
1/26
Calculate prob of sequence mf when two letters picked without replacement from gfgmgmmm.
1/14
What is prob of sequence cxcy when four letters picked without replacement from {y: 2, c: 5, j: 2, x: 5, w: 5}?
25/11628
Two letters picked without replacement from nzzxnzzpnzkp. What is prob of sequence zn?
5/44
What is prob of sequence rmy when three letters picked without replacement from {s: 2, y: 1, r: 1, m: 1}?
1/60
Calculate prob of sequence mmww when four letters picked without replacement from mwwwwwwwmwwwwwwwwww.
1/171
What is prob of sequence em when two letters picked without replacement from {m: 3, g: 2, p: 6, l: 1, e: 3}?
3/70
Two letters picked without replacement from {a: 1, u: 6, o: 1, b: 7}. What is prob of sequence bu?
1/5
Two letters picked without replacement from wwssdf. What is prob of sequence fd?
1/30
Four letters picked without replacement from {x: 1, q: 2, e: 1, w: 1, d: 5}. What is prob of sequence dqxe?
1/504
Four letters picked without replacement from xxxxgxmxxxxmxxmxx. What is prob of sequence mgxx?
39/4760
What is prob of sequence yj when two letters picked without replacement from {y: 3, j: 9}?
9/44
Four letters picked without replacement from {x: 4}. What is prob of sequence xxxx?
1
Calculate prob of sequence hw when two letters picked without replacement from {r: 7, h: 1, y: 4, i: 1, k: 2, w: 2}.
1/136
Four letters picked without replacement from {h: 1, p: 5, z: 14}. Give prob of sequence pzhp.
7/2907
What is prob of sequence fff when three letters picked without replacement from vfvvvovovffvvvvvv?
1/680
Calculate prob of sequence fe when two letters picked without replacement from eiefe.
3/20
Calculate prob of sequence dgk when three letters picked without replacement from {g: 1, d: 2, x: 1, k: 2}.
1/30
Three letters picked without replacement from {d: 1, i: 1, f: 2, g: 3, y: 3, r: 2}. What is prob of sequence rig?
1/220
Four letters picked without replacement from mmmjj. What is prob of sequence mmmj?
1/10
Two letters picked without replacement from {x: 7, d: 1}. Give prob of sequence dx.
1/8
Three letters picked without replacement from {y: 1, s: 3, p: 3, b: 3, t: 2, o: 4}. Give prob of sequence oob.
3/280
Calculate prob of sequence aaau when four letters picked without replacement from uauaaaaaauuaaaaauua.
143/1292
Two letters picked without replacement from smfpffwflpplssp. Give prob of sequence wl.
1/105
Calculate prob of sequence cg when two letter
|
{
"pile_set_name": "DM Mathematics"
}
|
True
Is (64398/(-8))/(145/(-580)) composite?
True
Let q(j) = 2813*j**2 - 14*j - 40. Is q(-3) composite?
True
Let u be (-10)/(-7)*(-7 - 168/(-16)). Suppose u*d - 2*t = 56835, -23*t + 18*t = d - 11394. Is d a composite number?
False
Suppose -19*i = -20*i. Suppose i*n - 3*n + 12 = 0. Suppose c - 4*c + 2152 = 2*y, n*c + 2138 = 2*y. Is y prime?
False
Let n be (-9)/(-4) + (-3)/(-4). Suppose 3*s = 2*p + 11163, 0 = n*s + 3*p - 1335 - 9813. Is s a prime number?
True
Suppose -3*n - 7 = -4*n. Let k be ((-84)/16)/(((-63)/(-24))/n). Is 12/8 - 16961/k a prime number?
True
Let n(j) = -j**3 - 5*j**2 + 5. Let k be n(-5). Suppose 2101 = k*u - 4704. Is u a prime number?
True
Suppose -x = 6, 11*x = 5*o + 8*x - 41623. Is o prime?
False
Suppose 55 = 33*x - 38*x. Let t(b) = 9*b**2 - 16*b - 6. Is t(x) prime?
True
Let l(c) = 6190*c**3 + 6*c**2 - 50*c + 161. Is l(4) a prime number?
True
Let t = 4110 + -977. Is t composite?
True
Is 58381 - ((-104)/10 - -12)*5/(-2) prime?
False
Let w be ((-21)/(-6))/(-7)*966. Let r = 726 - w. Suppose r = 27*c - 24*c. Is c composite?
True
Let f(s) = s**2 + 21*s - 20. Let m be f(-20). Let v = m + 681. Is v composite?
False
Let g(l) = 2*l**3 - 36*l**2 + 27*l - 36. Suppose 28*b - 830 + 18 = 0. Is g(b) a prime number?
True
Let v = -361086 - -658157. Is v prime?
False
Let v be (-14)/35 - (-3087)/5. Let i = v - 426. Is i a prime number?
True
Suppose -16*o + 7*o = 29*o - 5887834. Is o a prime number?
True
Let s be 3*1/(-5) - (-168104)/40. Let w = 5895 - s. Is w a composite number?
False
Let m be (-19)/2 - (-6)/(-4). Let g(k) = 21*k**2 - 2*k + 16. Is g(m) a composite number?
False
Suppose -6*h + 108955 + 49643 = 0. Suppose 50257 + h = 10*p. Is p prime?
True
Suppose -20*y - 30 = 130. Is y/(-12)*2514/4 composite?
False
Is (3 - 3456)/(-5 + 2) a prime number?
True
Suppose 0 = 5*i - 16 + 1. Suppose i*n + 3*o = 6, -3*o = 2*n - 4*o - 16. Suppose 3*d = n*d - 807. Is d composite?
False
Let m(r) = r. Let d(v) = 3*v + 4. Let c(x) = -d(x) + 2*m(x). Let a be c(-6). Suppose -3*t + 1231 = -f - 4*f, 0 = -a*t + 3*f + 820. Is t a prime number?
False
Suppose q - 460592 + 63828 = 72189. Is q composite?
False
Let x(b) = 120*b**2 + 22*b - 95. Let l(c) = 180*c**2 + 35*c - 143. Let t(n) = 5*l(n) - 7*x(n). Is t(-9) composite?
False
Let g = 16 - 0. Suppose 7*c + c - g = 0. Suppose -f = -c*u + u - 181, -533 = -3*f - 2*u. Is f a prime number?
True
Suppose -17384 - 7761 = -3*g - 5*j, -8 = 4*j. Let d = g - 5234. Is d a prime number?
False
Let c be (-353080)/117 + 2/(-9). Let u = 4403 + c. Is u composite?
True
Let y be (-9 + 15)*(4/(-6) - -1). Suppose 0 = -4*z - o + 2984, y*z + 543 = -2*o + 2041. Suppose 11*a - z = 6*a. Is a a prime number?
True
Let a(b) = -1 - 6*b - 7 + 11*b**2 + 12 + 26. Is a(13) a prime number?
True
Let o(h) = -h**3 + h**2 + 260. Suppose -4*g + 2*l + 3*l = -15, -3*l - 9 = -5*g. Let y be o(g). Suppose -5*d - 23 - 2 = 0, -u = -5*d - y. Is u composite?
True
Is -14 + 28698 + 14 - 13 a composite number?
True
Suppose 29*q - 92 = 25*q. Is (2 + 0)/(q/1357) a prime number?
False
Suppose -14374740 = 53*x - 61712273. Is x a prime number?
True
Let s be (-1 + 82/(-4))*2. Let o be (6*s)/3*-1. Let j = o + -39. Is j a prime number?
True
Suppose -84 = -18*p + 132. Is ((-33020)/(-120))/(2/p) a prime number?
False
Suppose -27*p + 946395 = -20*p - 3614812. Is p prime?
False
Let w(a) = -9*a**3 + 5*a + 5*a**2 + 2*a**3 - 15 + 6*a - 18 + a**2. Is w(-13) a composite number?
False
Suppose 42 + 6 = 16*y. Suppose -5*m + 7098 = -872. Suppose -d + y*d = 3*v - 4712, -m = -v - 4*d. Is v composite?
True
Let c(o) = 19*o - 9*o - 9*o + 6*o**2 + o**3 + 11. Let d be c(-6). Suppose -4*a + x + 100 = -3*a, -d*a + 2*x = -491. Is a prime?
True
Let p = -120091 + 203228. Is p a composite number?
False
Suppose 98 = d - 229. Let x = 1013 + -795. Let u = d - x. Is u a composite number?
False
Let d = 34 - 115. Let q = d - -23. Let y = q + 315. Is y composite?
False
Let z = -724292 + 1163119. Is z composite?
False
Let g be 4/3*(27/6 + -3). Suppose 2*i - 116 = a, -5*a - 174 = -3*i - g*a. Suppose r = 3*o - 6*o + 36, 2*r + i = 4*o. Is o composite?
False
Suppose -2*o + 12 = -x, -4*o - o - 15 = 0. Let p = x + 20. Suppose 6612 = 14*z - p*z. Is z a prime number?
False
Let h(w) = -w**3 + 36*w**2 - 25*w - 11. Is h(25) composite?
True
Let h = -255110 + 361353. Is h prime?
True
Is ((-220)/275)/((-28)/(-10)) + 486775/7 prime?
True
Let j be 1*(-2 - 41/(-1)). Let b = 42 - j. Suppose 247 = b*d - 2*q, d = 3*d - 2*q - 164. Is d a composite number?
False
Let x(g) = 256*g**3 - 9*g**2 - 5*g - 3. Let q(w) = -254*w**3 + 8*w**2 + 5*w + 3. Let h(t) = 3*q(t) + 2*x(t). Is h(-4) prime?
False
Let n(o) = -820*o + 77. Let s be ((-18)/(-7))/(102/(-476)). Is n(s) a prime number?
False
Let y be 25/10*2/10*4. Is (-9502)/(-3)*3/y prime?
True
Suppose -5*a - 5*r - 150 = -0*r, 3*a - 5*r + 114 = 0. Is a/(-44) + -3 + (-10922)/(-8) composite?
True
Suppose 19*d - 632676 = d + 233286. Is d a prime number?
True
Let y(w) = 118*w**2 - 10*w + 79. Let v be y(5). Suppose -3*s + 8993 = -h, -22*h = -s - 17*h + v. Is s composite?
False
Let l(w) = -4493*w**3 - w - 3. Let p be l(-2). Let s = 53410 - p. Is s composite?
False
Suppose -2*o - 885843 = -5*l, -3*l + 158132 + 373357 = 3*o. Is l a composite number?
False
Let c(r) = r**2 + 19*r - 21. Let i be c(-20). Is 687 + -7 - (i + 2*1) composite?
True
Suppose -3341 = -88*p + 288555. Is p prime?
False
Is 2 + 103503 + 4 + -5 + 15 composite?
True
Suppose -5*i + 2*i - 132 = 0. Let d = i - -46. Is 3621/d*8/12 prime?
False
Suppose -16*w = 4*w - 7340. Let t = w - 204. Is t a composite number?
False
Suppose -3*a + 25 = 4*r, -4*a - 2*r + 24 - 4 = 0. Let o(d) = 8*d + 2. Let c be o(a). Is 217 + (-74)/c + 10/(-65) a composite number?
True
Suppose -54*b = -124*b + 18222190. Is b prime?
True
Let i be ((-20)/28)/((-4)/28). Suppose -i*q = -2*g - 1831, 2*q + 2*g - g = 727. Let b = q + -130. Is b prime?
False
Is -18*(-2)/6 + 74506 + 1 prime?
False
Let u = -3881 - -6838. Suppose -5*d + 13768 = -u. Suppose 3*t + 0*t + d = 3*k, 0 = 4*k + t - 4460. Is k composite?
True
Let n(m) = -47847*m + 938. Is n(-3) prime?
True
Is ((-588541)/(-129))/(2/66) prime?
False
Let d = 182 - 190. Is (-74 + 64)*12422/d*2 prime?
False
Suppose 0 = -62*h + 59*h + 15816. Let g = 9807 - h. Is g composite?
True
Let i = -57224 + 159603. Is i a prime number?
False
Let w(s) = -3*s**2 + 680*s + 543. Is w(100) a composite number?
False
Suppose -3*x + 4*y - 12966 = 0, 8846 + 8442 = -4*x - 4*y. Let q = x - -15904. Is q a composite number?
True
Let l(r) = -513*r**3 - 2*r**2 + r - 1. Let m(p) = 514*p**3 + 2*p**2 - p + 2. Let b(j) = 3*l(j) + 2*m(j). Is b(-2) a composite number?
False
Let n(x) = -813*x**3 - 9*x**2 - 3*x. Let c(m) = 812*m**3 + 7*m**2 + 2*m. Let f(k) = 4*c(k) + 3*n(k). Is f(1) a composite number?
False
Is (36737 - 1) + 40 + -27 composite?
False
Suppose 5*s + 12 = -63. Let t be 5/s*(-18)/2. Suppose 5*m - m - 1516 = -t*p, 4*m - 3*p = 1516. Is m prime?
True
Let g(f) be the second derivative of -f**4/12 + f**3/2 + f**2 - 30*f. Let l be g(2). Suppose -l*j + 9*j = 785. Is j prime?
True
Suppose 6*t + 210 = 306. Suppose 0 = 4*b + t, 0 = 5*v - b - 2*b - 24377. Is v composite?
True
Let k(y) be the third derivative of 341*y**4/6 + 29*y**3/6 - 5*y**2 - 2. Is k(2) a prime number?
False
Let s = -4919 + 6987. Let l = s - -265. Is l a prime number?
True
Let n(p) = -p**3 + 55*p**2 + 198*p - 154. Is n(41) a composite number?
True
Suppose 18*d - 84 = 16*d. Suppose -8*c = -c - d. Let t(o) = 5*o**2 + 9*o - 13. Is t(c) composite?
True
Let c(u) = -21*u - 161*u - 3*u. Let q be c(-2). Suppose -24*w - q = -26*w. Is w prime?
False
Suppose -2*q + 4*f - 7*f = -380371, 3*q = f + 570562. Is q prime?
False
Let j = 29 - 148. Let g = 66 - j. Suppose 258 + g = p. Is p composite?
False
Let w(z) = z**2 + 7*z - 12. Let g be w(-8). Let j be (-6 - -6)*1/g. Suppose j = -7*m + 146 + 3753. Is m composite?
False
Let x be (-2 - 4)*(-143)/11. Suppose 0 = x*w - 95*w + 39491. Is w a prime number?
False
Let p(v) = -v - 5. Let j be p(3). Let l = j + 16. Is (3974/4)/(((-52)/l)/(-13)) composite?
False
Let a(v) = -538*v - 5. Let m(z) = 1076*z + 10. Let o(q) = 9*a(q) + 4*m(q). Is o(-1) prime?
False
Suppose -19*u + 17808 = 4*d - 24*u, 0 = 2*d + 3*u - 8926. Suppose d + 1057 = 6*k. Is k a prime number?
True
S
|
{
"pile_set_name": "DM Mathematics"
}
|
= -1 + f. Which is the second biggest value? (a) -5 (b) q (c) 3
b
Let i = -67 - -67. What is the smallest value in 0.1, i, 21?
i
Let v = -24 - -99/4. Suppose q = -5*r - 13, 0*q + 5*q = 3*r - 9. Which is the biggest value? (a) -2/7 (b) r (c) v
c
Let s = 9 - 6. Let g = -1 + 1.1. Let k = 0.5 - 0.2. Which is the biggest value? (a) s (b) g (c) k
a
Let y be (-21)/(-54) - (-1)/(-6). Let x = 2 - -1. What is the third biggest value in y, x, 0.1?
0.1
Let h = -0.92 - 0.08. What is the third biggest value in 2, h, -0.3, 1?
-0.3
Let l = 4.023 - 0.023. Which is the second biggest value? (a) l (b) -8 (c) -0.04
c
Let m = -2.7 - -3. Let p = 0 + m. What is the second biggest value in p, 3, -4/5?
p
Let f be (-2)/(-22)*(2 + -4). What is the third biggest value in 3, 2/21, f?
f
Let j = 0.4 - 0.04. Let c = 0.06 - j. Let g be ((-1)/(-12))/((-4)/6). What is the second biggest value in g, c, -3?
c
Suppose s = 5*x - 14, 4*s = 2*x - 14 - 6. What is the third biggest value in 0.4, 7, s?
s
Let h = 0.08 + -8.08. Let m = 11 + h. Which is the second smallest value? (a) -2 (b) m (c) 2/17
c
Suppose 0 = 2*b - 4, 6*m = 2*m - b - 6. Let a be (10/(-25))/(2 - (-2)/(-10)). What is the third smallest value in m, a, 5?
5
Let q = -2.1 - -1.8. Which is the second smallest value? (a) 0 (b) 1/4 (c) q
a
Suppose -4*f = -w + 15, 3*w = 9*f - 11*f - 25. What is the biggest value in 3, f, -0.06?
3
Let c = -489 - -493.98. Let w = c - 4.6. Let d = 0.02 + w. What is the smallest value in d, 0.1, 3/2?
0.1
Let x(p) = -p**2 + 21*p - 28. Let t be x(20). Which is the biggest value? (a) 2 (b) -1/6 (c) t (d) -1
a
Suppose -56 = -4*o - 2*t, -3*o + 3*t + 24 = -0. Let j be ((-2)/(-6))/((-4)/o). Which is the second biggest value? (a) -2/7 (b) j (c) 3
a
Let u = 40 + -40.38. Let i = 0.08 + u. What is the smallest value in i, -1/2, 3?
-1/2
Let h = 13.8 + -14.3. What is the third smallest value in 1/3, h, -2/7, -13?
-2/7
Let l = 0 - 3. Let n(j) = j + 6. Let o be n(l). Suppose o = -3*z - 3. Which is the smallest value? (a) -0.4 (b) 5 (c) z
c
Suppose y + 3*y = -5*j - 21, 0 = j - 2*y + 7. Suppose -4 = -3*u + 20. Let a = u + -12. What is the smallest value in -0.2, j, a?
j
Let y = 2 + 5. Let z = y + -4. Let r be 3/(1 + (-33)/6). Which is the biggest value? (a) r (b) 2/17 (c) z
c
Let s(p) = -5*p. Let f be s(1). Let n be 1 + f + (1 - 2). Let j be (3/n)/(8/(-5)). What is the third biggest value in -1/3, j, 0?
-1/3
Let i = 383.9 + -384. Let n be 0/(-1 + (-2)/(-1)). What is the third smallest value in n, -1, i?
n
Let j = -1123/9 + 125. Which is the fourth smallest value? (a) -1 (b) j (c) 0.06 (d) 4
d
Let s = 0.03 + 1.97. Let b be 0/1 + (-4)/(-6). Let t = -0.032 - 0.068. What is the biggest value in s, t, b?
s
Let i = 76 + -53. Let k = 23.2 - i. What is the biggest value in 1, k, -3/8?
1
Let r = -35/3 + 11. Suppose 6*y = 4*y + 10. Which is the second biggest value? (a) -0.5 (b) y (c) r
a
Let d = -0.48 + 0.58. What is the second smallest value in 2, d, 3/7?
3/7
Let v = 9 - 8.92. What is the fourth biggest value in v, -2, 0.3, 1?
-2
Let f(d) = -d**3 + 7*d**2 - d + 13. Let t be f(7). Which is the third smallest value? (a) 1/11 (b) t (c) -3
b
Let k = -4 - -6. Let w be (k - -1)/18*-4. Which is the smallest value? (a) 0 (b) w (c) 4
b
Suppose -6*k + 14*k = 32. What is the third smallest value in 2, 2/9, k, -0.3?
2
Suppose 0*i + 962 = 5*i + 3*g, -3*g - 3 = 0. Let k = i + -1349/7. Let o = 0.2 + -0.2. What is the biggest value in k, o, -1/5?
k
Let w = 0.1 + -2.1. Let q be 2/3 - 2/6. Which is the second biggest value? (a) w (b) q (c) 0.5
b
Let l = -10 + 8. Let d = -0.09 + -3.91. What is the second biggest value in l, -2/7, d?
l
Let u(f) = -f + 6. Let v be u(5). Let g be (v + 0)/((-19)/(-705)). Let s = g + -37. What is the second smallest value in s, -0.4, -3/4?
-0.4
Let r be 0 - 3*4/6. Let z be (-1 - -2) + 6 + r. Let j = 0.014 + -0.014. What is the third smallest value in z, -2/11, j?
z
Let w be 2*((-2)/(-16) - 0). Let l = 144 - 146. What is the biggest value in -3/5, l, w?
w
Let u = -22 + 23. What is the third smallest value in -5, u, 5?
5
Let x = 25 + -126/5. Which is the third smallest value? (a) 4 (b) x (c) -0.5
a
Let y = -0.84 + 0.04. Let u = y + 0.6. Which is the biggest value? (a) u (b) 3 (c) 1/2
b
Let d = 5.1 - 4.7. What is the third smallest value in 1/6, d, 3/7, -0.3?
d
Let u = -0.19 - -0.09. Which is the second smallest value? (a) -1 (b) 0.2 (c) u
c
Let s(m) = -m - 1. Let n be s(2). Let g be (2 - n/(-6))/(-3). Let v = 29/40 - 5/8. Which is the second smallest value? (a) g (b) 2/9 (c) v
c
Let o(p) = -p**3 + 2*p - 1. Let y be o(1). Suppose z + k - 1 = 0, y = z + z + 5*k + 10. Let x = 3.2 - 3. Which is the smallest value? (a) z (b) 3 (c) x
c
Let p = -1400.11 + 1391. Let h = 0.11 + p. Let y = -6 - h. Which is the third smallest value? (a) -3/5 (b) y (c) 0.2
b
Suppose 0 = -h - 0*h - 7. Let j be 2 + h*(-2)/(-10). Which is the second biggest value? (a) 0.1 (b) 5 (c) j
c
Let o(v) = v**2 + 15*v + 10. Let n be o(-15). What is the smallest value in n, 5, 2?
2
Let b = -1.04 + 0.04. Let u = 2.1 - 2. What is the second smallest value in 1/4, u, b?
u
Let p = -20 - -22. Which is the smallest value? (a) -6/7 (b) -3/5 (c) p
a
Let o be 6/4*10/(-3). Let p(g) = 2*g + 7. Let f be p(o). Let u be -5 + (-6 - f - -3). Which is the third smallest value? (a) u (b) 5 (c) 0.3
b
Let m = -0.113 + 0.053. Let o = -0.3 + 0.36. Let u = o + m. What is the third smallest value in -0.3, u, -4?
u
Suppose -4*u + 5 = -9*u. Let z = -27 - -107/4. Let t = -11 + 7. Which is the biggest value? (a) t (b) z (c) u
b
Let t = 143/2 - 73. Let d = -0.3 - -0.2. Which is the biggest value? (a) d (b) t (c) -0.5
a
Let j = 0.5 + -1. Let x = 17 + -16.95. Let g = x + -0.35. Which is the second biggest value? (a) j (b) 4 (c) g
c
Suppose 0 = -f - 3*r + 12, -3*f = r + 1 + 3. Let j be (-5)/(-3) + (-4 - f). What is the second biggest value in 1, -3/4, j?
j
Let y be ((-66)/(-18))/11 + 38/(-42). What is the smallest value in y, 7, -2/7?
y
Let o = 11.889 - -0.111. What is the smallest value in -3/5, o, -0.3?
-3/5
Let v = 8.2 + -1.2. Suppose 0 = 3*g - 4*b + 14, 3*b - 8 = -2. What is the third biggest value in g, v, -0.1?
g
Let s = -0.8 + 0.5. Which is the third smallest value? (a) s (b) 3/4 (c) 1
c
Let n = 235 + -236. Let x = 2/25 - -9/200. Which is the third biggest value? (a) x (b) n (c) 0.4
b
Let n = 6 + -4. Let d = -1 + 6. Let u = -4.6 + d. Which is the biggest value? (a) n (b) -0.1 (c) u
a
Let d = 13 - 16. Which is the second smallest value? (a) -1 (b) d (c) 2/23
a
Suppose 4 = -2*g + 4*b, 3*b - 6*b = g + 7. Let t(i) = i**2 + 7*i + 8. Let q be t(g). What is the second biggest value in 2/3, q, -1?
-1
Let z = 0.043 + -0.343. What is the third smallest value in 2/5, z, 3/7, 0.5?
3/7
Let s = -29 + 27. Let r = 15/16 - 3/16. Which is the third biggest value? (a) r (b) s (c) -4
c
Let o be 0 + (-12)/(-13) - 1. Let t = 9/52 - o. Let p = 126 - 126.1. What is the second biggest value in t, p, 0.1?
0.1
Suppose -4*z + 2*z = -3*u - 8, -5*z - 6 = -u. What is the biggest value in 1, 33, z?
33
Let g = 92 + -92.1. Let c = -9 + 5. What is the biggest value in g, c, 1/6?
1/6
Let i = 12.2 - 12. What is the third smallest value in -5, i, -0.1?
i
Let y = -6 - -10. Let x be 3/y - 3/(-3). Let l = x + -1/2. Which is the third biggest value? (a) l (b) 2 (c) 1
c
Let g = 6.2 - 1.2. Let o be (-3)/(0 + 3) + 7. What is the second smallest value in g, o, 4?
g
Let o be (9/18)/((-3)/2). Let u be 2/(-12)*8/6. Which is the biggest value? (a) 1/2 (b) u (c) o
a
Let m = -0.07 + 0.07. Let y = m + 0.2. Which is the smallest value? (a) -0.5 (b) -0.4 (c) y
a
Let o = -2.5 - -2. Let l = 3.01 - 0.01. Let a = l + -2.9. What is the second smallest value in 3, o, a?
a
Let y = 5.59 + -0.49. Let b = -9 - -14. Let q = b - y. What is the third biggest value in 4, q, -4/3?
-4/3
Let j be (-1 - 0)/(-6 - 3 - -2). Which is the biggest value? (a) 3 (b) -2/5 (c) j
a
Let s = 40 + -39. Let v = -1 + 1.1. What is the second biggest value in 0.5, s, v?
0.5
Let l be ((-12)/10)/(4/(-80)*-6). What is the second smallest value in 0.3, 0.07, l?
0.07
Let v = 0.05 - 0.09. Let i = v + -0.16. Which is the second smallest value? (a) i (b) 3 (c)
|
{
"pile_set_name": "DM Mathematics"
}
|
d'th term of -1786, -5838, -12506, -21790?
-1308*d**2 - 128*d - 350
What is the j'th term of -2714, -8484, -17348, -29300, -44334, -62444, -83624, -107868?
j**3 - 1553*j**2 - 1118*j - 44
What is the p'th term of -8918, -9036, -9126, -9188, -9222, -9228?
14*p**2 - 160*p - 8772
What is the k'th term of 75954, 75937, 75920, 75903, 75886?
-17*k + 75971
What is the t'th term of 760773, 3043100, 6846983, 12172422?
760778*t**2 - 7*t + 2
What is the z'th term of -184, -603, -1306, -2311, -3636, -5299?
-3*z**3 - 124*z**2 - 26*z - 31
What is the p'th term of -1837, -13755, -25673, -37591?
-11918*p + 10081
What is the c'th term of -5590, -16023, -33412, -57757, -89058, -127315?
-3478*c**2 + c - 2113
What is the r'th term of 86154097, 86154099, 86154101, 86154103, 86154105, 86154107?
2*r + 86154095
What is the b'th term of 1350, 1457, 1590, 1749?
13*b**2 + 68*b + 1269
What is the r'th term of -687, -1378, -2043, -2670, -3247, -3762, -4203?
2*r**3 + r**2 - 708*r + 18
What is the t'th term of -70058177, -140116340, -210174503?
-70058163*t - 14
What is the z'th term of -1768, -14137, -47696, -113041, -220768, -381473, -605752?
-1766*z**3 + z**2 - 10*z + 7
What is the n'th term of 10223982, 10223979, 10223974, 10223967?
-n**2 + 10223983
What is the d'th term of -1802, -2169, -2770, -3605, -4674?
-117*d**2 - 16*d - 1669
What is the v'th term of -3883796, -3883798, -3883800, -3883802, -3883804, -3883806?
-2*v - 3883794
What is the h'th term of -67840375, -135680761, -203521147, -271361533?
-67840386*h + 11
What is the b'th term of 2783071, 2783061, 2783051, 2783041?
-10*b + 2783081
What is the g'th term of 331883, 663772, 995659, 1327544, 1659427, 1991308, 2323187?
-g**2 + 331892*g - 8
What is the p'th term of 18169890, 18169892, 18169908, 18169944, 18170006, 18170100?
p**3 + p**2 - 8*p + 18169896
What is the r'th term of -4541, -3244, -1947, -650, 647?
1297*r - 5838
What is the s'th term of 1078, 2578, 4786, 8050, 12718, 19138, 27658, 38626?
58*s**3 + 6*s**2 + 1076*s - 62
What is the p'th term of 184297, 368428, 552557, 736684, 920809?
-p**2 + 184134*p + 164
What is the n'th term of -57333, -57321, -57293, -57243, -57165, -57053?
n**3 + 2*n**2 - n - 57335
What is the w'th term of 46633, 71899, 114009, 172963, 248761?
8422*w**2 + 38211
What is the b'th term of -172932, -345879, -518826, -691773, -864720, -1037667?
-172947*b + 15
What is the j'th term of 7880, 7601, 7322?
-279*j + 8159
What is the q'th term of 6721657, 6721658, 6721659, 6721660, 6721661?
q + 6721656
What is the k'th term of 536776828, 536776829, 536776830?
k + 536776827
What is the p'th term of -4007, -33102, -112079, -265880, -519447, -897722?
-4157*p**3 + p**2 + p + 148
What is the b'th term of -1267, -10623, -36031, -85519, -167115, -288847, -458743, -684831?
-1338*b**3 + 2*b**2 + 4*b + 65
What is the r'th term of 32939, 36522, 40105, 43688, 47271, 50854?
3583*r + 29356
What is the w'th term of 1620, 1337, 856, 177, -700, -1775, -3048?
-99*w**2 + 14*w + 1705
What is the t'th term of 659, 1708, 3151, 4988, 7219, 9844, 12863?
197*t**2 + 458*t + 4
What is the y'th term of -1130, -5043, -11764, -21293?
-1404*y**2 + 299*y - 25
What is the k'th term of -4772, -18241, -40450, -71405, -111112, -159577, -216806?
-k**3 - 4364*k**2 - 370*k - 37
What is the l'th term of -5318, -10620, -15944, -21302, -26706?
-2*l**3 + l**2 - 5291*l - 26
What is the a'th term of 55339, 111109, 166883, 222661?
2*a**2 + 55764*a - 427
What is the h'th term of -2554, -2564, -2490, -2332, -2090, -1764, -1354?
42*h**2 - 136*h - 2460
What is the v'th term of 27886, 25659, 21948, 16753, 10074, 1911, -7736?
-742*v**2 - v + 28629
What is the c'th term of 43574725, 43574730, 43574735?
5*c + 43574720
What is the t'th term of -918, -3670, -8210, -14496, -22486, -32138, -43410, -56260?
7*t**3 - 936*t**2 + 7*t + 4
What is the t'th term of 26132, 26039, 25916, 25757, 25556, 25307?
-t**3 - 9*t**2 - 59*t + 26201
What is the b'th term of -351, -308, 469, 2346, 5689, 10864?
61*b**3 + b**2 - 387*b - 26
What is the w'th term of 7243, 8132, 9021, 9910, 10799?
889*w + 6354
What is the b'th term of 7238, 12714, 18178, 23624, 29046, 34438, 39794?
-b**3 + 5483*b + 1756
What is the m'th term of 94187, 188343, 282499, 376655, 470811, 564967?
94156*m + 31
What is the x'th term of 1480241, 2960464, 4440687?
1480223*x + 18
What is the y'th term of 3926755, 7853154, 11779553, 15705952, 19632351?
3926399*y + 356
What is the l'th term of -1404046, -2808094, -4212142, -5616190, -7020238?
-1404048*l + 2
What is the k'th term of 10721, 21417, 32109, 42791, 53457, 64101, 74717, 85299?
-k**3 + 4*k**2 + 10691*k + 27
What is the u'th term of -5066524, -20266119, -45598774, -81064489, -126663264, -182395099?
-5066530*u**2 - 5*u + 11
What is the q'th term of -16995, -16757, -16519, -16281, -16043, -15805?
238*q - 17233
What is the s'th term of -54260, -54083, -53906, -53729, -53552?
177*s - 54437
What is the y'th term of -516, -490, -430, -324, -160, 74, 390, 800?
2*y**3 + 5*y**2 - 3*y - 520
What is the v'th term of -13300152, -26600300, -39900448?
-13300148*v - 4
What is the q'th term of -362647, -725241, -1087835, -1450429?
-362594*q - 53
What is the w'th term of -347, -1335, -3039, -5501, -8763, -12867?
-7*w**3 - 316*w**2 + 9*w - 33
What is the a'th term of 441379, 882746, 1324113, 1765480, 2206847?
441367*a + 12
What is the h'th term of 62950, 125905, 188878, 251881, 314926, 378025?
2*h**3 - 3*h**2 + 62950*h + 1
What is the q'th term of -499, -2095, -4877, -8947, -14407, -21359?
-17*q**3 - 491*q**2 - 4*q + 13
What is the p'th term of -298320, -298324, -298328?
-4*p - 298316
What is the p'th term of 2154, 3469, 4780, 6093, 7414, 8749, 10104?
p**3 - 8*p**2 + 1332*p + 829
What is the d'th term of -11202465, -11202466, -11202467, -11202468?
-d - 11202464
What is the w'th term of -17909, -34554, -51199, -67844, -84489, -101134?
-16645*w - 1264
What is the h'th term of -684, -9309, -17944, -26595, -35268, -43969, -52704, -61479?
-h**3 + h**2 - 8621*h + 7937
What is the d'th term of -510, -778, -1162, -1668, -2302?
-d**3 - 52*d**2 - 105*d - 352
What is the r'th term of -2159926, -2160036, -2160220, -2160478?
-37*r**2 + r - 2159890
What is the p'th term of -58746, -112665, -166584?
-53919*p - 4827
What is the s'th term of 6894, 7351, 8112, 9177?
152*s**2 + s + 6741
What is the d'th term of 250724, 502550, 754376, 1006202?
251826*d - 1102
What is the b'th term of -12207, -12173, -12137, -12099, -12059, -12017, -11973?
b**2 + 31*b - 12239
What is the x'th term of -610814, -610147, -609470, -608777, -608062, -607319?
x**3 - x**2 + 663*x - 611477
What is the s'th term of 6546981, 13093958, 19640933, 26187906, 32734877?
-s**2 + 6546980*s + 2
What is the z'th term of 84092241, 84092240, 84092239?
-z + 84092242
What is the q'th term of -4545343, -4545326, -4545307, -4545292, -4545287, -4545298, -4545331, -4545392?
-q**3 + 7*q**2 + 3*q - 4545352
What is the o'th term of -50108, -61894, -73680, -85466?
-11786*o - 38322
What is the n'th term of -95839, -88149, -67273, -26617, 40413, 140411, 279971, 465687?
1099*n**3 - n**2 - 96937
What is the w'th term of -24170082, -24170085, -24170088?
-3*w - 24170079
What is the x'th term of -4098, -8223, -12362, -16515, -20682, -24863?
-7*x**2 - 4104*x + 13
What is the j'th term of -102387, -407210, -915249, -1626504, -2540975, -3658662?
-101608*j**2 + j - 780
What is the k'th term of 1639, 11994, 39115, 91072, 175935?
1345*k**3 + 313*k**2 + k - 20
What is the x'th term of -1038288653, -2076577307, -3114865961, -4153154615, -5191443269?
-1038288654*x + 1
What is the l'th term of -127, -349, -549, -727, -883, -1017?
11*l**2 - 255*l + 117
What is the c'th term of -5013, -5939, -7461, -9573, -12269?
c**3 - 304*c**2 - 21*c - 4689
What is the x'th term of 52191, 209149, 470869, 837357, 1308619, 1884661?
x**3 + 52375*x**2 - 174*x - 11
What is the h'th term of -518, -579, -658, -767, -918, -1123?
-2*h**3 + 3*h**2 - 56*h - 463
What is the t'th term of 48811, 48781, 48725, 48631, 48487?
-2*t**3 - t**2 - 13*t + 48827
What is the l'th term of -313, -1342, -3125, -5668, -8977?
-l**3 - 371*l**2 + 91*l - 32
What is the w'th term of 3628350, 14513711, 32655980, 58055157, 90711242, 130624235?
3628454*w**2 - w - 103
What is the q'th term of 12475682, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
(c) -5 (d) -3
d
Let p = 21.95 - 18.95. What is the closest to 3 in -0.72, p, -3?
p
Let q be 10/45 - (74624/(-828))/4. Let l = q - 68/3. What is the closest to 1 in l, -1/5, 3/4?
3/4
Let k = -0.2 + 0.34. Let i = 0 - k. Let q = i - 0.26. Which is the closest to 1/4? (a) -1/5 (b) q (c) -7
a
Let s = 3428.1 + -3428. What is the closest to s in 5, 0, 2, 8?
0
Let x = 0.35 + -0.247. Let k = -4164.503 + 4164. Let h = k + x. What is the nearest to -1/4 in h, 1, -1?
h
Let v = -21/719 + 908/6471. Which is the nearest to -2/5? (a) v (b) -3 (c) -4
a
Suppose 17*r = 200 - 829. Let t(k) = -k - 40. Let l be t(r). Which is the closest to l? (a) 2/25 (b) -3 (c) -0.4 (d) 0
b
Let o = -2221.6 + 2226.6. Let x = -106/7 - -15. What is the nearest to 0 in o, x, 2/11?
x
Let t be 75/72 - (-210)/(-560). What is the nearest to 13/2 in 2/7, -4, 1/2, t?
t
Suppose -4*f = -5*v - 18, 2 = -f - 5*v - 6. Suppose -f*d = -3*d - 4. Let y = 201 + -198. What is the closest to 0.07 in 1/6, d, y?
1/6
Let f = 1759/2618 + -95/238. Which is the nearest to 1? (a) 26 (b) -2/19 (c) f
c
Let u be (-6061)/1140*9/(-12) - 4. Let w = 807 - 804. Let a = -0.1 + 0.1. What is the nearest to a in u, 4, w?
u
Let n = 217 + -435/2. Let h(o) = o**3 + 12*o**2 - 2*o - 7. Let q be h(-12). Let i = q - 11. What is the closest to -2/5 in i, 0.1, n?
n
Let w(o) = 14*o - 295. Let f be w(21). What is the nearest to f in 8, -0.5, 43?
-0.5
Let p = 1/6 - 25/42. Suppose i - 65 = -4*j, -4*j - 5*i + 65 = 12. Suppose -3*l = 2*m - j, -2 - 3 = -l. Which is the nearest to m? (a) p (b) -8 (c) 2
c
Suppose -146 = -36*x - 38. Which is the nearest to 2/3? (a) -3 (b) -4 (c) 16 (d) x
d
Let o = -69.76 + 70. Let p = -0.34 + o. Let h = -5 + 5. What is the nearest to h in -3/7, p, -0.2?
p
Let a be 45/6 + -5 + (-155)/70. What is the nearest to 0.16 in 0, a, 4/3, -1/4?
a
Let g = -1.983 + -0.017. Let n = 1.8 + g. Which is the nearest to 3? (a) 27 (b) n (c) -0.5
b
Suppose 4*x + 700*c - 15 = 695*c, -2*c - 1 = 3*x. Let k = -238 + 2620/11. What is the closest to -0.3 in x, k, 0.8?
k
Let q be 10588/(-36) + 2/((-72)/(-4)). Let i = 3527/12 + q. Which is the closest to i? (a) -0.3 (b) 0.1 (c) -2/25
c
Let h = -2511 - -2511.1. Which is the closest to -2? (a) h (b) 0.5 (c) 3/4 (d) 219
a
Let i = 30.17 + -3.47. Let u = i + -30.7. What is the closest to -1 in u, 0.2, 5/4?
0.2
Let q = 1 - 2. Let v = -10350.6 - -10351. Which is the nearest to -1/4? (a) v (b) q (c) 0.06
c
Let m = -1.3854 + -4.6146. What is the nearest to -5 in 1, m, 0.21?
m
Let i = 34.8 + -35.5. Which is the nearest to i? (a) 0.5 (b) -39 (c) -1/9
c
Let r = 0.319 + -0.819. Let n = 91/510 - 4/51. Let d be 1/4*(-100)/25. Which is the closest to d? (a) r (b) n (c) -8
a
Let q = 581.5 - 597. Let w = q + 15.5. What is the nearest to w in -0.4, -24, -4?
-0.4
Suppose -4*d = d. Let x = -16222.2 - -16222. What is the nearest to 0.13 in d, -3, x?
d
Suppose 5*z - 4*y = 85, 3*z - 352*y = -357*y + 51. Let l be (-4)/(-10)*-1 - -1. Which is the nearest to z? (a) -2 (b) -0.2 (c) l
c
Let v be 52890/(-315700) + (-3)/210. Let y = -1/261 - -529/1827. What is the nearest to 50/11 in v, y, 0?
y
Let j = 4.05 - 221.05. Let a = 222 + j. What is the nearest to 0.1 in 3/2, a, -1/2?
-1/2
Let x = 30283 - 181699/6. What is the closest to 1/4 in -1/4, -0.08, x, -0.15?
-0.08
Let h = -11.42 - 4.58. What is the nearest to 1/3 in 1/4, 0.3, h, -2/13?
0.3
Let m be (-12)/8*(-1)/3. Let s = 647 - 646.5. Which is the closest to m? (a) -0.4 (b) 2 (c) s
c
Let v = 5.02 - 5.63. Let s = -4.61 - v. What is the nearest to 8 in -2/11, s, -3, 0.5?
0.5
Let d = 185 + -182. Let j be (0 - d/(-6))*96/(-108). What is the nearest to 23 in 4, -0.2, j?
4
Let u = 0 - -0.5. Let a = -4.206 - -2.206. What is the closest to u in 0.5, -3, a?
0.5
Let r = 102 + -917/9. Let q = -3.11 - 139.89. Let w = q - -142.8. Which is the closest to w? (a) r (b) 1 (c) 0.1
c
Suppose -4*q - 915 + 914 = -l, 0 = -5*q + l - 1. Which is the closest to q? (a) -2 (b) 2/3 (c) 749 (d) -2/7
d
Let z(w) = -17*w + 12 - 47 - w**2 - 2 + 4*w. Let t be z(-5). What is the nearest to -3 in 4, t, -2/9?
-2/9
Let r = -0.879 - -0.579. Which is the closest to r? (a) 2/3 (b) 1/3 (c) -2/11 (d) 0.9
c
Let h = 306.6 - 306.6. What is the nearest to h in 4/3, 15, 1, -0.1?
-0.1
Let v = 73.08 - 72. Let n = v + -0.78. Which is the closest to -4? (a) -0.1 (b) 0.5 (c) n (d) 0
a
Let m = -822 - -822.3. Which is the nearest to -2/5? (a) m (b) 4 (c) -4.03 (d) 0.2
d
Let m = 270513.9 - 270514. Let o = 0.3 + 0. What is the closest to m in o, 8, 0?
0
Let y be -4 - -18 - 2516/185. What is the nearest to -2/3 in -54, -2/7, 0.1, y?
-2/7
Suppose 0 = -3*t - 1 - 5. Let b be ((-3)/t)/(42/12 - 3). What is the closest to 0.1 in b, 5/3, 9?
5/3
Let c = 8403/26 + -1712/13. Let d = 191 - c. What is the nearest to d in -0.1, 0, 2?
-0.1
Let i = 27.973 - -0.027. Let n = -29 + i. Let x = -0.273 - 0.127. What is the closest to -3 in x, 0.2, n?
n
Let y = -1/28 - -65/252. Let p = 8.3 + -8. Let q = -89/7884 + -10423/7884. What is the nearest to -0.1 in y, q, p?
y
Let v = 13/5 + -3. Let a = -119 - -121. What is the nearest to -1 in v, a, 0.02?
v
Let w = -0.01274 + -0.08726. What is the closest to -1/6 in 2, 20, w, -2?
w
Let k = -3096/11 - -9277/33. Which is the closest to 0.1? (a) k (b) -2 (c) -23
a
Let l be -437 - 19/(323/(-153)). Which is the nearest to 1? (a) 1/5 (b) 0.5 (c) l (d) -1
b
Let g = -0.5 - -4.5. Let n(r) = 4*r**2 - 39. Let l be n(-7). Suppose -133 = 3*t - l. What is the closest to -2/3 in g, -0.5, t?
-0.5
Let q = -2944 + 2943.01. Which is the closest to -5/2? (a) -3 (b) q (c) 2
a
Let s = -0.39 + 34.39. Let h = 18 + s. Let d = -56 + h. What is the nearest to 1/2 in 0, -2/17, d?
0
Suppose -44084 = 211*s + 48967. What is the nearest to -0.1 in -0.6, s, 1/4?
1/4
Let n = -0.113 + -0.887. Let g be (-282)/14 + (-13)/(-91). Which is the closest to n? (a) g (b) 0.5 (c) -2/3
c
Let y be 4/(-16)*(0 + -5). Let x = 52738.6 + -52739. Let q = -0.32 + 0.3. What is the nearest to -2 in y, x, q?
x
Suppose 6*d - 50 + 14 = 0. Let t be d/4 - 85/70. Let u(n) = -3*n - 18. Let y be u(-4). What is the closest to y in -0.1, t, -5?
-5
Let l = -0.17003 - -4.17003. Which is the nearest to 0? (a) -44 (b) -2 (c) 3 (d) l
b
Let x = 62.1 + -66. Let z = 0.1 - x. Let g = 16.295 - 15.295. Which is the closest to 2? (a) z (b) g (c) -1
b
Let b = 4.9 + -5. Suppose 0 = -4*c + 3*q, -2*c - 905*q = -901*q - 22. Let p = 3 + -2.7. What is the closest to b in p, 32, c?
p
Let q(d) = d**2 - 320*d - 2289. Let s be q(-7). What is the nearest to s in 0.3, 7, -14/5?
0.3
Let p = 25/48 - 1/48. Let x = -67348 - -67349. What is the nearest to p in -4, -4/13, x?
x
Suppose 0 = 5*q - 10*q. Let n = -4 + 4.4. Let o = -30.01 - -30.21. Which is the nearest to q? (a) n (b) 0 (c) o
b
Let l = -2348 + 2373. What is the closest to 1/3 in 1/7, l, 20, 0.3?
0.3
Let x(u) = 17*u - 59. Let q(y) = 18*y - 58. Let m(t) = -4*q(t) + 5*x(t). Let d be m(5). Let v = -6.6 + 7. Which is the closest to d? (a) 0 (b) -0.3 (c) v
c
Let z = 428.1 - 427.8. Which is the nearest to 36? (a) -1/7 (b) -3 (c) z
c
Let v be 17/(-15) + (-5 - 2*(-232)/80). Let h = -0.23 + 0.03. Which is the nearest to v? (a) h (b) -6/5 (c) -0.1
a
Let h = -118.7 - -118.4. What is the closest to 92 in 2/11, -0.1, -2/49, h?
2/11
Let u = 105.7 + -101.7. What is the closest to -2/321 in 2/3, -0.2, u, -5?
-0.2
Let v = -1217 - -1222. What is the nearest to 0.2 in 1, 4, -6, v?
1
Let w = -107 + 326/3. What is the closest to -1/2 in -4, 4/7, 1, w?
4/7
Let n = 98 + -98.08. Let f = n - 5.92. Let u = -5.6 - -6. Which is the nearest to f? (a) -4 (b) u (c) -0.1
a
Let o = -0.04105 + 0.02205. Which is the closest to 2/3? (a) o (b) 2 (c) -0.06
a
Let h = 335 - 334.9215. Let t = -8.9215 - h. Which is the closest to t? (a) -0.5 (b) -3 (c) -6/7 (d) 4
b
Let g = 25 - 21.8. Let r = g - 2.8. Let w = 18.5 + -18.3. Which is the closest to w? (a) 7/6 (b) 0.5 (c) r
c
Let l = 0.275 - -1.945. Let o = -1.72 + l. Which is the closest to 3? (a) 3 (b) -0.1 (c) o
a
Let b = -93 + 88. Suppose 3*a - 24 + 12 = 0. Suppose 32 = -4*c - 4*x, 4*c - 7*c = a*x + 29. What is the nearest to 0.4 in c, 2, b?
2
Let x = 9/7 + -95/63. Let k = -1 + 5/3. Let h = -89.32 - -89.42. Whi
|
{
"pile_set_name": "DM Mathematics"
}
|
t(u) be the third derivative of u**5/15 + 23*u**4/6 - 100*u**3/3 - 711*u**2. Suppose t(p) = 0. What is p?
-25, 2
Factor 2/7*c**3 + 0*c + 0 - 4/7*c**2.
2*c**2*(c - 2)/7
Find d such that 0 + 6/11*d**3 + 2/11*d + 6/11*d**2 + 2/11*d**4 = 0.
-1, 0
Let o be -508*(22/(-33))/(4/3). Let y = -251 + o. Factor -6/5*f**2 + 3/5*f + 3/5*f**y + 0.
3*f*(f - 1)**2/5
Let p(x) = -x**2 + 2. Suppose 0 = -2*f - t + 11, -6*t + 9 = -3*t. Let r(h) = 9*h**2 - 25*h + 12. Let d(l) = f*p(l) + r(l). Factor d(b).
5*(b - 4)*(b - 1)
Let y be (-80)/(-25) + -4 - 745/(-900). Let l(j) be the second derivative of -1/2*j**2 + 0 - 11*j - y*j**3 + 1/72*j**4. Factor l(r).
(r - 3)*(r + 2)/6
Factor 10*y**2 - 10*y**4 - 2*y**5 + 4*y + y - 6*y**5 + 3*y**5.
-5*y*(y - 1)*(y + 1)**3
Suppose 0 = 5*p - 2*z - 24, -2*p + 2 - 4 = 5*z. Factor 8*a + p*a**2 + 0*a**2 - 6*a**2.
-2*a*(a - 4)
Let b = 31 + 3. Factor 6*c**2 - b*c**4 + 40*c**4 + 0*c**2 + 15*c**3.
3*c**2*(c + 2)*(2*c + 1)
Suppose 2*x + 4*w = 12, -w = 5*x - 4 + 1. Factor x + 0*f + 2/13*f**2.
2*f**2/13
Suppose -3*h = -3485 + 929. Determine i, given that -852*i + 4*i**2 - 4*i**4 + h*i = 0.
-1, 0, 1
Let t(h) = -2*h - 1. Let w(y) = -30*y**2 - 387*y - 61. Let b(g) = 4*t(g) + w(g). Let b(f) = 0. Calculate f.
-13, -1/6
Suppose 0*z = -2*z. Let n be z*(-1 + 2)/(-1). Factor -18*d**2 - d - 13*d - 13*d + n*d**3 - 3*d**3.
-3*d*(d + 3)**2
Solve -3/4*s**4 - 13/4*s**3 + 5 + 7/4*s**2 + 1/4*s**5 + 9*s = 0.
-2, -1, 2, 5
Let g(k) be the second derivative of k**4/4 + 19*k**3 - 120*k**2 - 258*k. Factor g(l).
3*(l - 2)*(l + 40)
Let j(v) be the first derivative of -28 + 3*v**3 - 5/8*v**4 - 3*v**2 - 4*v. Factor j(x).
-(x - 2)**2*(5*x + 2)/2
Determine z so that 0*z - 3/2*z**3 + 15/2*z**2 + 0 = 0.
0, 5
Solve 0 + 9/4*b**5 + 0*b**4 - 25/4*b**3 - 5*b**2 - b = 0.
-1, -2/3, -1/3, 0, 2
Let g = -35 - -35. Factor h + 4*h + g*h - 3*h**2 - 11*h.
-3*h*(h + 2)
Let n = -10599/4 + 2650. Let q = -17/2 - -9. Solve -1/4*d**3 - n*d + 0 + q*d**2 = 0 for d.
0, 1
Find q such that -1/4*q**2 - 47/4 - 12*q = 0.
-47, -1
Let a = 42 - -15. Determine l, given that -4*l**2 + 42*l**4 - 6*l**2 - a*l**4 + 70*l**5 - 45*l**3 = 0.
-1/2, -2/7, 0, 1
Let y(o) = -2*o**3 + 14*o**2 + o + 11. Let k(c) = -c**3 + c**2. Let w(n) = -3*k(n) + y(n). Let v be w(-11). Factor 13*s**2 - 9*s**2 + v*s**2 - 4*s - 20*s**2.
-4*s*(4*s + 1)
Let x(q) be the second derivative of q**7/147 - q**6/35 + 3*q**5/70 - q**4/42 - 144*q. Solve x(n) = 0 for n.
0, 1
Let b(n) be the second derivative of -n**6/60 - n**5/20 + n**4/8 + 2*n**3/3 + n**2 + n + 113. Let b(p) = 0. What is p?
-2, -1, 2
Factor -24/5 + 4/5*z**2 - 4/5*z.
4*(z - 3)*(z + 2)/5
Suppose 3*n - 6 = a, 5*n - 311*a + 314*a + 18 = 0. Factor n - 1/2*k + 3*k**2 - 5/2*k**3.
-k*(k - 1)*(5*k - 1)/2
Let h(u) be the first derivative of -21 - 12/35*u**5 - 2/21*u**6 - 4/21*u**3 + 0*u**2 + 0*u - 3/7*u**4. Factor h(y).
-4*y**2*(y + 1)**3/7
Let s be ((-58)/8)/((-2)/8). Let s*j**4 - j**5 - 8*j**3 + 4*j**2 - 55*j**4 + 31*j**4 = 0. What is j?
0, 1, 2
Suppose 0 = -33*w + 188 - 188. Solve -2/3*x + x**2 - 1/3*x**4 + w + 0*x**3 = 0.
-2, 0, 1
Let u be (-3)/(42/4) - (148/(-28) + 3). Factor -2/11*p**u - 6/11 - 8/11*p.
-2*(p + 1)*(p + 3)/11
Let d(m) be the second derivative of m**6/135 + 4*m**5/45 + 91*m - 1. Determine q, given that d(q) = 0.
-8, 0
Let v(i) = -2*i**3 - 1037*i**2 - 181663*i - 10536048. Let g(m) = m**3 + 518*m**2 + 90832*m + 5268024. Let s(x) = -7*g(x) - 4*v(x). Find t such that s(t) = 0.
-174
Let f(g) be the second derivative of g**7/1260 + g**6/180 + g**5/60 + g**4/12 - 17*g. Let z(k) be the third derivative of f(k). Find s such that z(s) = 0.
-1
Let x be (31/4216)/(4/64). Find h, given that -x*h**3 + 0*h**2 + 4/17 + 6/17*h = 0.
-1, 2
Let q = -1/1245 + 1253/9960. Factor 1/4*b**2 + 0 - 1/8*b**4 - q*b**3 + 0*b.
-b**2*(b - 1)*(b + 2)/8
Let a(b) be the third derivative of -b**6/32 + 3*b**5/80 + 96*b**2. Factor a(t).
-3*t**2*(5*t - 3)/4
Suppose 3*k = r + 97, -3*k + 2*r = 2*k - 162. Suppose 15*h**3 - 37 + 1 - 24*h - 2*h**3 + 11*h**3 + 4*h**4 + k*h**2 = 0. What is h?
-3, -1, 1
Let q = -1279 + 1281. Suppose 1/6*b**3 + 0 + 1/2*b**q + 1/3*b = 0. Calculate b.
-2, -1, 0
Let s(n) be the first derivative of -2*n**3/39 + 3*n**2/13 - 4*n/13 + 379. Let s(x) = 0. Calculate x.
1, 2
Let g be -3 + 3/(3/5). Suppose -3*o = 4*r + g - 1, 0 = -5*r - o + 7. Suppose -3*z**2 + 8*z + 2*z + z**r - z**3 - 11*z = 0. What is z?
-1, 0
Let t(x) = -x**2 - x + 1. Let r(f) = -2*f**2 + 6*f + 21. Let z(l) = 2*r(l) - 6*t(l). Factor z(w).
2*(w + 3)*(w + 6)
Let p(k) be the second derivative of -k**4/3 + 20*k**3 - 450*k**2 + 350*k. Factor p(n).
-4*(n - 15)**2
Let b(f) be the first derivative of 1/4*f**3 - 1/16*f**4 - 1/24*f**6 - 18 + 1/4*f**2 + 0*f - 3/20*f**5. Find p such that b(p) = 0.
-2, -1, 0, 1
Find o such that 0*o + 0*o**3 + 0 + 1/6*o**4 - 1/6*o**2 = 0.
-1, 0, 1
Suppose 0 = 2*d + r - 9, 2*d + 3*r - 11 = -0*d. Solve -d*x**3 - 4*x**2 + 2*x - 5*x + 5*x + 4*x**4 + 2*x = 0.
-1, 0, 1
Let f(x) be the second derivative of -x**7/3780 - x**6/540 - x**5/180 + 5*x**4/12 + 10*x. Let w(n) be the third derivative of f(n). Let w(d) = 0. What is d?
-1
Let x(d) be the third derivative of -d**6/120 + d**5/60 + 5*d**4/12 + 4*d**3/3 - 38*d**2. Factor x(y).
-(y - 4)*(y + 1)*(y + 2)
Let u(g) be the first derivative of -16 + 1/4*g**3 + 5/8*g**2 + 1/2*g - 1/16*g**4 - 1/20*g**5. Factor u(x).
-(x - 2)*(x + 1)**3/4
Suppose 10*h - 3*h - 17 - 18 = 0. Factor 0*y + 0*y**2 - 2/9*y**h + 0 - 2/3*y**4 - 4/9*y**3.
-2*y**3*(y + 1)*(y + 2)/9
Let s(b) = -b**2 - 10*b + 14. Let u be s(-11). Suppose 4*r - v = 29, -u*r - 2*v = -0 - 8. Find w, given that w**2 + 12*w**3 + r*w**3 - 19*w**3 = 0.
0, 1
Let s(x) = -36*x**5 + 13*x**4 + 229*x**3 - 388*x**2 + 85*x + 75. Let o(k) = -2*k**5 - k**4 + k**3 - k + 1. Let v(r) = 22*o(r) - 2*s(r). Solve v(z) = 0.
-4, -2/7, 1, 4
Let w(u) be the second derivative of -3/35*u**5 + 55*u - 1/28*u**4 + 0 + 0*u**3 + 0*u**2 - 2/35*u**6. Factor w(i).
-3*i**2*(2*i + 1)**2/7
Let l = -14 - -18. Suppose -3*p = 0, 7*z + 5*p = l*z + 9. Determine u so that -1/6*u**2 + 0*u + 0 + 1/6*u**z = 0.
0, 1
Let z be 15/(-40) + 357/56. Let w(c) be the third derivative of -5*c**2 + 0*c + 1/6*c**4 + 0 + 0*c**3 + 1/60*c**z + 11/90*c**5. Suppose w(q) = 0. Calculate q.
-3, -2/3, 0
Let v(j) be the first derivative of 4*j - 3*j**2 - 11 - 1/16*j**4 + 3/4*j**3. Find g such that v(g) = 0.
1, 4
Let u(p) be the second derivative of p**6/30 + p**5/10 - 54*p - 2. Solve u(h) = 0 for h.
-2, 0
Suppose n - 4*n + 74 = 4*q, -3*n + q + 49 = 0. Let z be (4/(-6))/((-4)/n). Solve -t**5 + t**3 + 29*t - 28*t - z*t**3 + 2*t**5 = 0 for t.
-1, 0, 1
Let f(j) be the third derivative of -j**7/42 + j**5/3 - 49*j**2. Suppose f(p) = 0. What is p?
-2, 0, 2
Let a be (2/(-14))/((-32)/112)*6. Let v(z) be the second derivative of 1/5*z**2 - 4*z + 7/30*z**a + 1/20*z**4 + 0. Factor v(p).
(p + 2)*(3*p + 1)/5
Let i be -9*(2 + -3*1). Let d = -20 + 28. Factor 3*w**5 - 3*w**2 + w**2 + d*w**2 - i*w**3.
3*w**2*(w - 1)**2*(w + 2)
Let q be (-120)/54 + 10/45. Let r be q*(-9)/(-12)*(4 - 6). Suppose -3/4 - 3/2*c**2 + 15/8*c + 3/8*c**r = 0. What is c?
1, 2
Determine m, given that 48/7*m**3 + 2/7*m**5 + 0 + 0*m - 54/7*m**4 + 104/7*m**2 = 0.
-1, 0, 2, 26
Let g be 2*1*6/(-30)*-10. Suppose -16*w + 4 = g. Factor 1/4*a + w + 3/4*a**2 + 3/4*a**3 + 1/4*a**4.
a*(a + 1)**3/4
Let w(z) be the third derivative of -z**5/12 + 65*z**4/3 - 6760*z**3/3 - 162*z**2. Factor w(j).
-5*(j - 52)**2
Let r be ((-324)/(-270))/(4/10). Let f(m) be the first derivative of 8 + 1/2*m**4 - m**2 + 0*m**r + 0*m. Let f(t) = 0. What is t?
-1, 0, 1
Let w(l) be the second derivative of 0 + 25/6*l**3 - 5*l**2 - 15/8*l**4 - 1/24*l**6 + 7/16*l**5 - 9*l. Let w(p) = 0. Calculate p.
1, 2
Let u(d) be the first derivative of -7 - 5*d + 1/18*d**3 + 1/12*d**2 + 1/72*d**4. Let b(t) be the first derivative of u(t). Solve b(r) = 0 for r.
-1
Factor -3/2*r**3 + 3/4*r**2 + 3 - 1/4*r**4 + 5*r.
-(r - 2)*(r + 1)**2*(r + 6)/4
Let o(b) be the second derivative of -b**5/70 - 3*b**4/14 - 23*b**3/21 - 15*b**2/7 + 6*b - 18. Factor o(p).
-2*(p + 1)*(p + 3)*(p + 5)/7
Let m be 7 - 2 - (0 - -2). Let -64*x**2 - 133 - 12*x**3 - 44*x**m - 24*x**4 - 4*x**5 + 125 - 36*x = 0. What is x?
-2, -1
Let s(t) be the second derivative of -t**6/30 + t**5/5 + 5*t**4/12 - t + 100. Find u such tha
|
{
"pile_set_name": "DM Mathematics"
}
|
841
Let i(m) = -12*m**3 + 7*m**2 - 4*m + 1. What is i(2)?
-75
Let l(b) = -b**2 - 43*b + 39. Give l(-43).
39
Let a(h) = -2*h - 156. Determine a(-78).
0
Let d(h) = -12*h**2 + 1526*h - 1526. Calculate d(1).
-12
Let y(t) = t**2 - 298*t + 2320. Give y(8).
0
Let j(l) = 3*l**2 - 19*l - 14. What is j(7)?
0
Let s(w) = w**3 + 148*w**2 - 443*w + 1508. Determine s(-151).
-2
Let c(z) = -460*z + 124654. What is c(271)?
-6
Let j(s) = -1671*s + 10025. What is j(6)?
-1
Let j(m) = -14*m**3 - 11*m**2 + 8*m + 40. Give j(3).
-413
Let q(o) = 2*o**2 - 288*o + 4314. Determine q(127).
-4
Let v(p) = -41*p + 118. Determine v(-2).
200
Let n(j) = -j**3 - 75*j**2 + 74*j + 57. What is n(-76)?
209
Let k(z) = -4*z**3 - 17*z**2 + 15*z + 27. What is k(-5)?
27
Let x(h) = 34*h**2 + 301*h - 39. Determine x(-9).
6
Let x(g) = 7*g + 190. Calculate x(-41).
-97
Let u(y) = -y**3 + 64*y**2 - 63*y + 61. Determine u(63).
61
Let c(d) = 13*d**2 - 615*d - 4155. Give c(-6).
3
Let t(o) = 274*o - 1945. Determine t(7).
-27
Let u(v) = -30*v + 109. Calculate u(13).
-281
Let y(f) = -60*f + 452. Give y(8).
-28
Let n(g) = -76*g - 4252. Give n(-56).
4
Let i(p) = -17*p**2 - 100*p - 477. What is i(-5)?
-402
Let d(x) = -8*x**2 + 90*x - 112. Give d(10).
-12
Let a(b) = 89*b**2 + 32*b - 27. Calculate a(-1).
30
Let o(l) = 2*l**3 - 182*l**2 + 182*l - 181. Give o(90).
-1
Let h(c) = 15265*c - 290037. What is h(19)?
-2
Let r(u) = 629*u - 1215. Give r(2).
43
Let u(r) = -14*r + 45. Calculate u(7).
-53
Let t(u) = u**3 + 3*u**2 + 13. Determine t(7).
503
Let x(l) = l**2 - 191*l + 1234. Calculate x(6).
124
Let y(x) = -x**2 - 29*x + 501. Determine y(-41).
9
Let z(k) = 45*k - 52. What is z(5)?
173
Let w(l) = 19*l**2 - 185*l + 21. Determine w(10).
71
Let h(i) = -35*i - 328. Calculate h(-8).
-48
Let h(i) = 2940*i - 8849. Give h(3).
-29
Let d(o) = 3327*o - 46585. Determine d(14).
-7
Let o(p) = -40*p - 1060. Calculate o(-32).
220
Let y(r) = -r**3 + 14*r**2 - 10*r + 30. What is y(13)?
69
Let r(a) = a**2 + 55*a - 1. Give r(-54).
-55
Let c(h) = -619*h - 8653. Give c(-14).
13
Let s(r) = -r**2 - 354*r + 2167. Determine s(6).
7
Let u(b) = -b**3 + 57*b**2 - 156*b - 149. Calculate u(54).
175
Let u(c) = 3*c**2 - 22*c + 2. Determine u(8).
18
Let d(c) = 14*c**2 + 490*c + 3. Determine d(-35).
3
Let f(b) = 6*b**3 + 6*b**2 - 30*b + 37. Determine f(3).
163
Let g(i) = -285*i**2 - 108*i - 108. Give g(-1).
-285
Let i(k) = -k**2 + 1791*k + 25239. Give i(-14).
-31
Let t(p) = 2*p**2 + 116*p + 61. What is t(-58)?
61
Let v(d) = 2*d**2 - 6*d - 9. What is v(-3)?
27
Let d(n) = 4*n + 63. What is d(-32)?
-65
Let j(g) = -6*g**2 + 46*g - 38. What is j(4)?
50
Let f(x) = -x**3 + 14*x**2 + 15*x + 16. Give f(15).
16
Let q(l) = l**3 - 38*l**2 + 42*l - 233. Calculate q(37).
-48
Let j(c) = -4*c**3 - 6*c**2 + 2*c - 14. Calculate j(-5).
326
Let g(n) = -n**3 - 26*n**2 - 128*n - 1927. Give g(-24).
-7
Let c(g) = -47*g - 1233. Give c(-26).
-11
Let r(y) = y**2 + 307*y + 23515. Give r(-161).
9
Let g(d) = -16*d - 128. What is g(-3)?
-80
Let m(o) = -11*o**3 - 449*o**2 + 83*o + 62. Give m(-41).
21
Let j(l) = -542*l + 7075. Give j(13).
29
Let x(y) = 12477*y - 37427. Calculate x(3).
4
Let t(u) = -92*u + 234. Determine t(4).
-134
Let b(h) = 3*h**3 - 185*h**2 + 113*h + 510. Give b(61).
-39
Let s(l) = 2*l**3 + 4*l**2 - 26. Determine s(2).
6
Let a(q) = 6069*q + 6072. Determine a(-1).
3
Let n(p) = 160*p + 167. Calculate n(-1).
7
Let s(k) = -43*k**2 + 502*k + 22. Determine s(12).
-146
Let h(d) = -25*d - 510. Calculate h(-21).
15
Let q(m) = -193*m - 14. Calculate q(-1).
179
Let m(j) = j**3 - 14*j**2 - 2*j + 114. Give m(12).
-198
Let x(i) = -733*i - 11736. Determine x(-16).
-8
Let c(i) = 91*i + 545. What is c(-6)?
-1
Let v(w) = -357*w - 34243. Give v(-96).
29
Let r(l) = -l**3 + 4*l**2 + 10*l - 14. Give r(6).
-26
Let t(x) = 2*x**3 + 27*x**2 - 38*x - 246. Give t(-14).
90
Let c(g) = -2*g**3 - 16*g**2 + 33*g - 18. What is c(-10)?
52
Let s(m) = 3*m**3 - 198*m**2 + 196*m - 60. Give s(65).
5
Let f(i) = i**2 + 20*i - 1727. Calculate f(-53).
22
Let z(y) = y**3 + 16*y**2 + 50*y - 23. Determine z(-6).
37
Let m(p) = -p**3 - 3*p**2 - 29*p - 190. Determine m(-5).
5
Let i(x) = -2*x**3 - 66*x**2 + 62*x + 4037. Calculate i(-32).
5
Let u(f) = 2*f**2 - 86*f - 11. Give u(43).
-11
Let x(c) = c**2 - 23*c - 16. Give x(-14).
502
Let v(n) = 59*n - 444. What is v(7)?
-31
Let r(p) = 376*p - 2218. What is r(6)?
38
Let t(l) = -l**2 - 22*l + 263. What is t(-28)?
95
Let u(q) = q**3 - 32*q**2 - 30*q + 38. Calculate u(33).
137
Let z(m) = -m**3 - 45*m**2 + 111*m - 1569. Calculate z(-48).
15
Let b(u) = -12*u - 241. Give b(-29).
107
Let i(b) = -b**2 - 25*b + 129. Calculate i(-20).
229
Let j(a) = 3*a**2 + 11*a - 140. Calculate j(7).
84
Let u(y) = -y**3 - 6*y**2 + 12*y + 116. Determine u(-4).
36
Let v(k) = -k**3 - 7*k**2 + 33*k + 8. Calculate v(-8).
-192
Let v(d) = -2*d**2 - 500*d - 24745. Determine v(-68).
7
Let x(g) = 139*g + 781. Determine x(-6).
-53
Let v(i) = -57*i - 1469. What is v(-30)?
241
Let f(c) = -c**2 - 64*c + 1141. Determine f(-79).
-44
Let y(g) = -46*g - 2262. What is y(-50)?
38
Let j(n) = n**3 + 15*n**2 + 48*n + 749. Give j(-15).
29
Let u(g) = 26*g**2 + 304*g - 444. Give u(-13).
-2
Let o(g) = g**2 + 33*g + 209. Give o(-16).
-63
Let l(w) = w**3 + 19*w**2 - 15*w + 56. What is l(-20)?
-44
Let k(l) = 2970*l + 8942. Give k(-3).
32
Let s(m) = -48*m + 954. Calculate s(20).
-6
Let f(o) = -o**3 - 2*o**2 + 50*o + 31. What is f(-8)?
15
Let c(z) = -95*z + 180. What is c(2)?
-10
Let x(m) = -m**3 - 646*m**2 - 5106*m - 19. Calculate x(-8).
-3
Let a(l) = -l**3 + 3*l**2 + 25*l - 54. Determine a(5).
21
Let j(v) = -v**2 - 42*v - 353. Give j(-12).
7
Let v(w) = 34*w - 754. What is v(25)?
96
Let q(y) = 2*y**3 + 39*y**2 + 14*y - 90. Determine q(-19).
5
Let a(r) = -89*r + 4037. Give a(45).
32
Let j(g) = g**3 - 8*g**2 - 4*g - 7. Determine j(7).
-84
Let b(x) = 100*x + 110. Calculate b(-7).
-590
Let t(o) = 15*o - 582. Determine t(36).
-42
Let q(g) = -g**2 + 19*g + 108. Determine q(23).
16
Let t(g) = 3*g**2 - 957*g + 58299. Determine t(237).
-3
Let u(f) = f**3 - f**2 - 18*f - 8. Calculate u(-3).
10
Let n(t) = -t**3 - 327*t**2 + 272*t - 18348. What is n(-328)?
20
Let p(d) = d**2 + 22*d - 5664. What is p(65)?
-9
Let s(f) = -225*f - 1600. Give s(-7).
-25
Let i(m) = -2*m**3 + 69*m**2 + 59*m + 57. Determine i(35).
897
Let d(h) = -3*h**2 - 7*h + 2. Calculate d(-3).
-4
Let q(s) = 77*s**2 + 7*s + 6. What is q(-1)?
76
Let b(z) = -121*z - 1085. What is b(-9)?
4
Let y(r) = 15*r**2 + 46*r + 8. Determine y(-3).
5
Let t(k) = -10*k**2 - 12*k + 25. What is t(0)?
25
Let q(j) = -3*j**3 + 79*j**2 + 784*j - 59. Give q(34).
9
Let f(g) = 6*g**3 - 3*g**2 - 19*g + 1. Give f(-4).
-355
Let q(t) = -t**3 - 110*t**2 - 1807*t - 637. Calculate q(-90).
-7
Let t(p) = -120*p - 4181. Give t(-35).
19
Let i(l) = l**3 - 9*l**2 - 59*l + 38. What is i(13)?
-53
Let p(x) = -1198*x + 3605. Calculate p(3).
11
Let j(i) = -2*i**3 + 46*i**2 + 105*i - 136. Calculate j(25).
-11
Let n(h) = h**3 + 36*h**2 + 12*h + 164. What is n(-36)?
-268
Let i(w) = -108*w - 1. Determine i(-1).
107
Let r(f) = 361*f + 39350. Give r(-109).
1
Let t(m) = m**2 + 16*m - 45. What is t(-18)?
-9
Let v(m) = 260*m - 15224. What is v(58)?
-144
Let g(d) = -d**3 + 4*d**2 - 39*d + 100. Give g(3).
-8
Let r(d) = -2*d**2 + d + 10. Give r(-5).
-45
Let i(n) = -46*n**2 + 735*n - 13. Give i(16).
-29
Let o(n) = -n**3 + 12*n**2 + 287*n - 3567. Calculate o(13).
-5
Let s(q) = -6*q**2 + 140*q - 358. Give s(19).
136
Let m(d) = 9*d - 151. Determine m(16).
-7
Let r(g) = -g**3 - 3*g**2 + 89*g + 270. Determine r(-3).
3
Let f(m) = -2*m**3 + 195*m**2 - 837*m + 20. Calculate f(93).
20
Let g(n) = n**3 - 41*n**2 + 108*n + 235. What is g(38)?
7
Let h(g) = -21*g**2 + 2606*g - 249. Give h(124).
-1
Let t(h) = h**3 - 17*h**2 - 59*h + 3. Calculate t(20).
23
Let o(n) = -49*n + 114. What is o(2)?
16
Let p(s) = 13*s**2 + 27*s - 7. Determine p(-4).
93
Let v(s) = s**2 - 11*s - 189. Calculate v(21).
21
Let d(v) = -32*v - 618. Determine d(-26).
214
Let g(x) = 8*x + 72. Give g(5).
112
Let h(d) = -10*d - 45. Give h(0).
-45
Let p(f) = -13*f**2 - 5*f + 20. Calculate p(3).
-112
Let v(r) = r**2 - 43*r - 699. Calculate v(-13).
29
Let i(h) = 18*h**2 + 21*h - 3. What is i(-1)?
-6
Let a(c) = -5*c**2 - 13*c - 5. Give a(3).
-89
Let n(v) = -2*v**3 - 48
|
{
"pile_set_name": "DM Mathematics"
}
|
+ (0 + sqrt(304))**2 + sqrt(304) + -4.
377
Simplify -5*(sqrt(704) + 1).
-40*sqrt(11) - 5
Simplify (-5*1*sqrt(133))/(-1*sqrt(343)).
5*sqrt(19)/7
Simplify (sqrt(76)/sqrt(4) + 4)**2 + -2.
33 + 8*sqrt(19)
Simplify -1 + sqrt(63) + sqrt(448)/sqrt(4) + 0.
-1 + 7*sqrt(7)
Simplify (sqrt(19) - sqrt(57)/(sqrt(12)/sqrt(4)))*-5.
0
Simplify (sqrt(1425)/sqrt(3) + sqrt(19))**2 - (sqrt(19) + (sqrt(171) - ((sqrt(171) - (sqrt(171) - (1 + sqrt(171)))) + sqrt(171) + sqrt(171))**2)).
14*sqrt(19) + 2224
Simplify sqrt(1377) + (sqrt(1377) + -2*(0 + sqrt(1377)) + sqrt(1377))**2.
9*sqrt(17)
Simplify (2*sqrt(68)*1)/sqrt(4).
2*sqrt(17)
Simplify (sqrt(2835) - (sqrt(2835) + sqrt(2835)*-1))/((sqrt(35) + (sqrt(35) - (sqrt(35) + -2*sqrt(35))))/sqrt(5)).
3*sqrt(5)
Simplify (sqrt(192)*2 + 4)**2.
128*sqrt(3) + 784
Simplify (((1*sqrt(80))/sqrt(4))/(sqrt(4) - (sqrt(484) + -2*sqrt(484) - sqrt(484))) + 2)**2.
4*sqrt(5)/23 + 2121/529
Simplify ((sqrt(2057) + 1)*4)**2.
352*sqrt(17) + 32928
Simplify (-3 + sqrt(2299) + sqrt(2299))*5*2.
-30 + 220*sqrt(19)
Simplify sqrt(832) + (sqrt(832) - (sqrt(832) + (sqrt(832) + -2 - sqrt(832)) + 0)**2) + 5 + 1 + sqrt(832).
-830 + 56*sqrt(13)
Simplify (2*(-1*sqrt(50))**2 - sqrt(550)/sqrt(176)) + 1.
-5*sqrt(2)/4 + 101
Simplify sqrt(171) + -5 - (sqrt(684) + ((sqrt(684) - (-3 + sqrt(684)))**2 - sqrt(684))).
-14 + 3*sqrt(19)
Simplify (sqrt(98)/sqrt(2)*2)/(6*(sqrt(14)/sqrt(2) + sqrt(7))).
sqrt(7)/6
Simplify (-1*sqrt(28)*4)/(sqrt(196) - (sqrt(196) - (sqrt(196)*-2 + sqrt(196) - sqrt(196)))).
2*sqrt(7)/7
Simplify -6*(sqrt(44) + -5)**2.
-414 + 120*sqrt(11)
Simplify -3 + -1*sqrt(2) + 0.
-3 - sqrt(2)
Simplify 4 + sqrt(176)*-2.
-8*sqrt(11) + 4
Simplify (sqrt(56)/(sqrt(512) + sqrt(8)))**2 - (-4 + sqrt(7) + -2).
-sqrt(7) + 493/81
Simplify ((sqrt(288)/sqrt(8))/sqrt(3))**2.
12
Simplify 3*(-5 + (-3 + 1 + sqrt(171) - sqrt(171))).
-21
Simplify (-1*(0 + sqrt(1584)))**2.
1584
Simplify 0 + sqrt(475) + sqrt(304) + 2.
2 + 9*sqrt(19)
Simplify -1*((0 + sqrt(200))*5)**2.
-5000
Simplify ((sqrt(4896) + sqrt(4896)*-1)/sqrt(2))**2.
0
Simplify ((sqrt(126)/sqrt(2)*1)/(3*sqrt(36)/sqrt(4)))**2.
7/9
Simplify ((sqrt(704) - (-2*sqrt(704) + sqrt(704))) + ((sqrt(132) - sqrt(132)*-2) + sqrt(132))/sqrt(12))**2 + -5.
4395
Simplify sqrt(425) + 2 + sqrt(17) - sqrt(1088)*-1.
2 + 14*sqrt(17)
Simplify -4 + 3*(sqrt(19) - (-4 + sqrt(95)/sqrt(5))).
8
Simplify 1*(-5 + 4 + sqrt(162)).
-1 + 9*sqrt(2)
Simplify -4 + (sqrt(13) - -1*sqrt(13)) - (sqrt(13) + 2*sqrt(117)).
-5*sqrt(13) - 4
Simplify (sqrt(21) + (-1*sqrt(231))/sqrt(11))/(sqrt(448)*-1).
0
Simplify 6*sqrt(27) + sqrt(3) - (sqrt(588))**2.
-588 + 19*sqrt(3)
Simplify (2 + sqrt(11)*-1 + sqrt(11))*-2 + 1.
-3
Simplify sqrt(34)/(6*(sqrt(2) + sqrt(10)/sqrt(5))).
sqrt(17)/12
Simplify (5*sqrt(153)*-3 - sqrt(153))/((sqrt(72)*1)/sqrt(8)).
-16*sqrt(17)
Simplify sqrt(15)/((2*sqrt(30))/sqrt(10)) + 4.
sqrt(5)/2 + 4
Simplify 5*sqrt(117) - (0 + sqrt(832)).
7*sqrt(13)
Simplify sqrt(45)/(-5*1*sqrt(9)).
-sqrt(5)/5
Simplify (sqrt(132)/(sqrt(60)/(2*sqrt(5))))**2.
44
Simplify -5*(sqrt(550)/sqrt(11))/sqrt(10).
-5*sqrt(5)
Simplify (sqrt(175) + -2)*1*6.
-12 + 30*sqrt(7)
Simplify (-2 + sqrt(1900) + 1)**2.
-20*sqrt(19) + 1901
Simplify (1 + 2 + sqrt(19) + -3)**2.
19
Simplify 4*(sqrt(17) + 1)**2 + -3.
8*sqrt(17) + 69
Simplify -5 + (sqrt(99)/(sqrt(3)*-4) + sqrt(33))/sqrt(11).
-5 + 3*sqrt(3)/4
Simplify (sqrt(128) + 1)**2 + 2*sqrt(2)*-5.
6*sqrt(2) + 129
Simplify (6*sqrt(2)*-3 + (sqrt(98) - sqrt(98)*3) + sqrt(98))**2.
1250
Simplify 6*sqrt(40)/sqrt(5).
12*sqrt(2)
Simplify 2*(sqrt(245) + 3).
6 + 14*sqrt(5)
Simplify 0 + 5 + (sqrt(192) - (sqrt(192) - -3*sqrt(192))).
-24*sqrt(3) + 5
Simplify (sqrt(114)/(-3*sqrt(18)/sqrt(3))*3)**2.
19
Simplify (-5*sqrt(45) + 0 + (-2*sqrt(5) - sqrt(5)))**2.
1620
Simplify -4 + (sqrt(720) - (sqrt(720) - -2*(-2 + sqrt(720))))**2.
-192*sqrt(5) + 2892
Simplify sqrt(3) + -1 + 5 + -4.
sqrt(3)
Simplify (-3*(-1 + sqrt(112)*-2)*2)**2.
576*sqrt(7) + 16164
Simplify (2 + sqrt(847) + 1 + sqrt(21)/sqrt(27) + 4)**2.
476*sqrt(7)/3 + 8533/9
Simplify (1*2*sqrt(30))/sqrt(10) + -5.
-5 + 2*sqrt(3)
Simplify sqrt(77)/(sqrt(44)/sqrt(4))*3.
3*sqrt(7)
Simplify (sqrt(400)/(sqrt(32)/sqrt(4)))/(sqrt(60)/sqrt(216)).
6*sqrt(5)
Simplify (-1 + sqrt(1100) + sqrt(1100) + sqrt(22)/(sqrt(2) + (-3*sqrt(2) - sqrt(2)) + sqrt(2)))**2 + -1.
-39*sqrt(11) + 16731/4
Simplify 5 + sqrt(36)/sqrt(192).
sqrt(3)/4 + 5
Simplify (sqrt(1584) - -3*sqrt(1584) - sqrt(33)/(-5*sqrt(3)))**2.
638891/25
Simplify 1 + sqrt(36)/(sqrt(48)/sqrt(4)).
1 + sqrt(3)
Simplify (2*sqrt(2000))**2.
8000
Simplify ((2 + sqrt(3))*2)**2 + sqrt(18)/sqrt(54).
28 + 49*sqrt(3)/3
Simplify (-2*sqrt(3240) - sqrt(3240))/((sqrt(72) - (sqrt(72) + sqrt(72) + (sqrt(72) - sqrt(72)*2) + sqrt(72) + sqrt(72) + sqrt(72) - sqrt(72)))/sqrt(9)).
27*sqrt(5)/2
Simplify sqrt(8)/(1*(sqrt(16) - sqrt(4))) - (0 + (sqrt(2) - (sqrt(6)/sqrt(3) + sqrt(2))**2))*-5.
-40 + 6*sqrt(2)
Simplify 3 + (2*sqrt(475))**2 - (-4 + 1 + sqrt(475))**2.
30*sqrt(19) + 1419
Simplify (sqrt(84) + (sqrt(84) - sqrt(84)*-2)*-3)/sqrt(12)*-3.
24*sqrt(7)
Simplify (sqrt(1225)*-6)/((sqrt(252)*2 - sqrt(252)) + sqrt(252) - sqrt(252)).
-5*sqrt(7)
Simplify ((sqrt(495)*-5 - sqrt(55))/sqrt(5))**2.
2816
Simplify (sqrt(19) + 1)**2 + -1 - 4*(sqrt(304))**2.
-1197 + 2*sqrt(19)
Simplify (0 + sqrt(76) + 0)**2*-3.
-228
Simplify ((sqrt(405)*-3)/sqrt(9))**2 + 0.
405
Simplify (1*5*4*sqrt(5)*2)**2 + 1.
8001
Simplify ((sqrt(104) - (sqrt(104)*1 + sqrt(104)))*-4 + sqrt(104))/sqrt(8).
5*sqrt(13)
Simplify (sqrt(72) + -3)*3.
-9 + 18*sqrt(2)
Simplify -1 + sqrt(6)/sqrt(27).
-1 + sqrt(2)/3
Simplify (sqrt(384) - (sqrt(384)*2 + sqrt(384) + sqrt(384)))/(sqrt(972)*1).
-4*sqrt(2)/3
Simplify sqrt(72) - ((-3 + sqrt(72))*2 - sqrt(72)).
6
Simplify 2*(sqrt(7) - (1*sqrt(7) + sqrt(7))) - (sqrt(2268))**2.
-2268 - 2*sqrt(7)
Simplify (6*(sqrt(99)*-1 + sqrt(99)))/(3*sqrt(1296) + sqrt(1296)).
0
Simplify 4 + sqrt(204)/sqrt(3) + -2.
2 + 2*sqrt(17)
Simplify 1*sqrt(125)*-2 + sqrt(125).
-5*sqrt(5)
Simplify sqrt(77)/(sqrt(343)*2).
sqrt(11)/14
Simplify (4 + (0 + sqrt(171))**2)*-4*5.
-3500
Simplify 3*(sqrt(1872) - 1*sqrt(1872)*-2).
108*sqrt(13)
Simplify ((2*sqrt(95)*1)/(sqrt(60)/(1*sqrt(12))))**2.
76
Simplify ((sqrt(660)*1)/sqrt(12))/sqrt(5) + -3 + (sqrt(891)*2)**2.
sqrt(11) + 3561
Simplify -1*(sqrt(2) + sqrt(98) + (sqrt(98) - (sqrt(98) + 1 + sqrt(98))) + sqrt(98) + ((sqrt(72)*2 - sqrt(72)) + sqrt(72) - sqrt(72)))**2.
-393 + 28*sqrt(2)
Simplify (sqrt(51)/sqrt(3) + 4)*-3.
-3*sqrt(17) - 12
Simplify ((sqrt(95)*1)/sqrt(5) + 3)**2.
6*sqrt(19) + 28
Simplify (-1*(sqrt(432) + 0 + -1))**2 + 2.
-24*sqrt(3) + 435
Simplify (-1*(sqrt(252) + -1 - sqrt(252)) + sqrt(252))**2*5.
60*sqrt(7) + 1265
Simplify (4 + (-1*sqrt(637))**2)*-5.
-3205
Simplify -4*sqrt(27)/(sqrt(108)/(2*sqrt(12))).
-8*sqrt(3)
Simplify (sqrt(11) - (-1 + sqrt(44)) - (sqrt(11) - (sqrt(44) - sqrt(44)*-2)))**2.
8*sqrt(11) + 177
Simplify (sqrt(77)/(sqrt(11)*3*-3))**2.
7/81
Simplify sqrt(44) + -1 - (sqrt(539) - (sqrt(539) + -1)**2).
-19*sqrt(11) + 539
Simplify -2*(1 + sqrt(9)/sqrt(3)).
-2*sqrt(3) - 2
Simplify sqrt(153)/(sqrt(9) + sqrt(63)/sqrt(7)) - sqrt(102)/sqrt(6)*2.
-3*sqrt(17)/2
Simplify (-1*sqrt(133)*2)/(sqrt(70)/(sqrt(10) - (sqrt(10) + (-2*sqrt(10) - sqrt(10))))).
-6*sqrt(19)
Simplify ((sqrt(11) - (sqrt(11) + -2))*-2 + sqrt(77)/sqrt(28))**2.
-4*sqrt(11) + 75/4
Simplify (sqrt(20)/sqrt(10) - sqrt(2)) + 5 + sqrt(14)/sqrt(7) + 1.
sqrt(2) + 6
Simplify sqrt(45)/(sqrt(9) - sqrt(324) - sqrt(9)) - sqrt(320).
-49*sqrt(5)/6
Simplify (sqrt(325) + 1 - (-2 + sqrt(13) + -2))**2.
40*sqrt(13) + 233
Simplify ((sqrt(1377) + -1 - sqrt(1377)) + -4)**2.
25
Simplify -5*(sqrt(5) - sqrt(10)/sqrt(2)) + (sqrt(5) - (2 + (sqrt(5) - (1 + sqrt(5))) - sqrt(5))**2).
-6 + 3*sqrt(5)
Simplify -1 + sqrt(432) + -3.
-4 + 12*sqrt(3)
Simplify (sqrt(14)/(1*sqrt(567))*1)**2.
2/81
Simplify ((sqrt(170) + sqrt(170) + sqrt(170)*2 - sqrt(170))*-3)/(sqrt(10) - sqrt(50)/(sqrt(5)*-2)).
-6*sqrt(17)
Simplify sqrt(18) + -1 + sqrt(72)*1.
-1 + 9*sqrt(2)
Simplify (sqrt(1053) + 0 + 2 + 1 + (sqrt(117) - sqrt(117)*-1)/sqrt(9))**2.
66*sqrt(13) + 1582
Simplify sqrt(114)/sqrt(24) - (1 + sqrt(684) + sqrt(19)).
-13*sqrt(19)/2 - 1
Simplify sqrt(7) - (sqrt(77)*-1 + sqrt(77))/sqrt(11) - (sqrt(28)/sqrt(2))/sqrt(2).
0
Simplify sqrt(133)/sqrt(7)*-3 + (sqrt(95)/sqr
|
{
"pile_set_name": "DM Mathematics"
}
|
5)/m)*m/((m*m**(-10)/m*m)/m) assuming m is positive.
m**(263/20)
Simplify ((v**(-23)/v)/v**(2/9))**(-2/95) assuming v is positive.
v**(436/855)
Simplify (((q*q**1)/q**(-2))/(q/(q/q**(-3)*q)*(q/(q/q**(-2/5))*q)/q))**(40/7) assuming q is positive.
q**48
Simplify (p/(p*p*p**(-1/8))*p)**1*(p*p/p**(2/15)*p)/p**(2/31) assuming p is positive.
p**(10889/3720)
Simplify (((m**2*m)/m)**(7/11)/(m/(m*m**(1/2)))**13)**(2/13) assuming m is positive.
m**(171/143)
Simplify m**(-2/57)*m*m**(-1/9)*(m**(-7))**(-9/5) assuming m is positive.
m**(11503/855)
Simplify ((y*y*y**(-41)/y)/y)/(y*y**(-1/7))*(y**(-28))**(-40/3) assuming y is positive.
y**(6961/21)
Simplify (i**(-7/3)/i*i)/i*i**(-5/3)/i*(i*i**3)/(i/(i*i/i**(2/5)*i)) assuming i is positive.
i**(-2/5)
Simplify (((u/u**8)/u)/u**(4/7))/(u**(1/13)/u)**(3/5) assuming u is positive.
u**(-3648/455)
Simplify (o**7/o*o**(1/14)*o)/((o*(o*o*(o/(o/(o*o/o**14)))/o)/o)/o**(5/2)) assuming o is positive.
o**(144/7)
Simplify ((b*b*b/(b*b/b**(-1/14))*b*b)/(b/(b*(((b/b**(-8))/b)/b)/b*b)))/(b**(-7)*b**(1/3)/b*b) assuming b is positive.
b**(697/42)
Simplify (((u**(-2/13)*u)/u*u)/(((u**5/u)/u)/u))/(u**5*u**(5/6)) assuming u is positive.
u**(-545/78)
Simplify (m**(4/7)/((m*m/m**8)/m)*(m/m**(-2))**(-38))**(1/25) assuming m is positive.
m**(-149/35)
Simplify (z**(-2/29)/z**28)/(z**25/(z/(z/(z*z*z**(-1/19)*z)))) assuming z is positive.
z**(-27617/551)
Simplify (x**(4/11)*x*x*x**(2/15))/(x**(-3)/x)**(-3/23) assuming x is positive.
x**(7496/3795)
Simplify (b**(-2/25)/((b*b/((b*b**(-8/5))/b)*b)/b*b))/(b*b/(b/((b/((b/(b*b/b**(2/3)))/b))/b))*b)**(1/25) assuming b is positive.
b**(-361/75)
Simplify ((f*f/f**(-10)*f*f*f)**(23/5))**(-6/13) assuming f is positive.
f**(-414/13)
Simplify p**(-2/5)/(p*p/(p**(1/5)*p))*((p*p**(-5/2))/p)**(20/9) assuming p is positive.
p**(-304/45)
Simplify ((f/f**(3/8))/f)**(1/12)/(f*(f*f**12)/f*f)**(-13) assuming f is positive.
f**(5823/32)
Simplify p*p/p**(-10/9)*p*p*p*p*p*p/p**9*p**(-3/14)/p**6 assuming p is positive.
p**(-769/126)
Simplify ((u**(5/6)/(u*u*u**(-7)))/(((u*u/u**(-3/2))/u)/(u/(u**(-4/5)/u))))**(-19) assuming u is positive.
u**(-1748/15)
Simplify (p**(6/5)/p**(-20))/(p/p**(-2/47)*p/((p/(p**(2/5)/p))/p)) assuming p is positive.
p**(4643/235)
Simplify (u**(-2/3))**(-46)/((u/(u**(2/3)*u)*u)/u)**(5/6) assuming u is positive.
u**(281/9)
Simplify (x**7/(x**(-5/4)*x))/(x**(-2)*x**(-2/23)) assuming x is positive.
x**(859/92)
Simplify (j**(-4/9))**(-26)/(j**7*j/(j**(-2)*j*j*j)*j) assuming j is positive.
j**(32/9)
Simplify ((c**(-7)/(c**(2/15)/c))/(c**0*c**(-7/5)*c*c))**(-12) assuming c is positive.
c**(404/5)
Simplify (y/(y*y*y**(-1/5)))**(2/27)/((y/((y*y/y**(9/5))/y*y))/y**(-11)) assuming y is positive.
y**(-1601/135)
Simplify j**(-15)/j**16*(j/(j/j**(-9)))**(-2/7) assuming j is positive.
j**(-199/7)
Simplify ((z/((z/((z/(z/z**(-4)))/z))/z))/(z/z**(-22)))**(-1/34) assuming z is positive.
z**(27/34)
Simplify (n**0*n)**(-6/5)/(n/(n/n**5))**(1/9) assuming n is positive.
n**(-79/45)
Simplify (u/(u/u**(-11)))**(4/23)/(u**(-4/3)/u**(-22)) assuming u is positive.
u**(-1558/69)
Simplify ((h*h**(-1/21))/h)**48*(h*h**(6/5)*h)/((h**(6/7)*h)/h*h) assuming h is positive.
h**(-33/35)
Simplify (((b*b*((b/b**(6/11))/b)/b*b)/(b/b**(-1/2)))**13)**(-35) assuming b is positive.
b**(455/22)
Simplify (w**(-2))**(-9)/(w*w**(-7)/w*w*w**(-1)/w*w) assuming w is positive.
w**25
Simplify g**(-2/17)/g*g*g**(-14)*g**(-4/13)/g*g**21 assuming g is positive.
g**(1232/221)
Simplify b**24/b*(b/(b*b*b*b**(-3/7)*b))/b*b*(b**24/b)/(b/(b*b**(-3))) assuming b is positive.
b**(283/7)
Simplify ((q/(q/(q/q**3)))/q*q**(-4))/((((q/(q**(-1/4)*q))/q*q)/q)/q**(2/13)) assuming q is positive.
q**(-317/52)
Simplify (u**(-1/2)/((u*u/u**4*u)/u)*(u**2)**(-7/2))**(-15/8) assuming u is positive.
u**(165/16)
Simplify (c*c**14)/c*c**(-14)*c**(1/6)*c*c**(-13) assuming c is positive.
c**(-71/6)
Simplify (s**(2/47)/(s**(-18)*s))/(s**(-1/4)*s**(-12)) assuming s is positive.
s**(5507/188)
Simplify (z/z**(-1/5))**(-16/7)/((z*z*z**(2/11)*z)/z)**(-37) assuming z is positive.
z**(30024/385)
Simplify (s**(-6))**26*(s/(s*s/(s/(s**(-2/57)*s)))*s)/s*s**(-8)/s assuming s is positive.
s**(-9460/57)
Simplify (r**(1/5)*r*(r*r**(-4)*r)/r*r**(-2/5)*r**(-4/9))**35 assuming r is positive.
r**(-833/9)
Simplify ((o*o**0)**(-2/7)*o/((o/(o/o**5))/o)*o*o**(1/2)/o)**(13/6) assuming o is positive.
o**(-169/28)
Simplify ((u*u/((u/(u/u**(-2/5)))/u))/u*u)**(-2/17)*u**(-2/13)*u**10 assuming u is positive.
u**(614/65)
Simplify (v**(-18))**(-18/11)/(v**(-3/17)*v**7/v*v) assuming v is positive.
v**(4232/187)
Simplify (b**14*b)/b*b*((b/(b**(-4/9)*b))/b)/b*b**(1/9)/b*b*b*b**0 assuming b is positive.
b**(131/9)
Simplify (((x**(5/4)*x)**(-28/9))**(-15))**46 assuming x is positive.
x**4830
Simplify (y**(-4)*y*y*(((y/(y*y**(-2/19))*y)/y*y)/y)/y*(y/(y*y*y**(2/7))*y)**17)**9 assuming y is positive.
y**(-9279/133)
Simplify (k/k**(1/8)*k**(-9)*k*k**(-1/10)*k**(1/7))**(-25/6) assuming k is positive.
k**(3305/112)
Simplify ((o/o**(3/8)*o*o)/o)**13*(o**(-1/7)*o)/(o/(o*o**(-26)*o)) assuming o is positive.
o**(-169/56)
Simplify ((d*d**(-1/52)*d)/(d*d**(3/10)))**(3/8) assuming d is positive.
d**(531/2080)
Simplify (m**(-5/3)/(m*m*(m**(4/5)/m*m)/m))/((m*m/(m/m**(1/4)))/(m/((m*(m/m**(-8))/m*m)/m))) assuming m is positive.
m**(-763/60)
Simplify (((g*g*g**0)**(-35))**14)**(-10) assuming g is positive.
g**9800
Simplify (f**9*f**(-1/7))/((f**(3/10)/f)/f**(-8)) assuming f is positive.
f**(109/70)
Simplify n**(-6/29)/(n/(n/(n*n**(-16/5)/n)*n))*(n*n**(-11))**(-11) assuming n is positive.
n**(16529/145)
Simplify q**(-2/29)/q*q**(-7/2)*(q**(-1)*q)/q**(-5) assuming q is positive.
q**(25/58)
Simplify (((j*j/(j*j**(-2/11)*j))/j**(3/7))**(-7/3))**(9/7) assuming j is positive.
j**(57/77)
Simplify (s**(-13))**(15/2)/(((s**(-1/2)*s*s)/s)/(s*s**(-1/11))) assuming s is positive.
s**(-1068/11)
Simplify (h/h**14)/(h/(h*(h**20*h)/h*h*h))*(h*h/(h/(h/(h*h**5))))/h**(-8/9) assuming h is positive.
h**(53/9)
Simplify (u/u**(-3/5)*u*u/(u*(u/(u/(u/(u/(u**(-3/4)*u))*u)))/u*u)*u*u*u)/(u**(-1/8))**(2/205) assuming u is positive.
u**(892/205)
Simplify ((r/(r/((r/(r/(r*r*r**20*r)))/r)))/((r*r*r/(r/r**(-10/7)))/r))/(r*r**0)**(-1/77) assuming r is positive.
r**(1728/77)
Simplify (f**12/(f/f**9))/(f*f**(-1/5)*f/((f**(-16)*f)/f)) assuming f is positive.
f**(11/5)
Simplify (q/(q*q**(1/7)*q))**(-2/7)*(q*q*(q*q*q**(1/6))/q)**(-1/20) assuming q is positive.
q**(989/5880)
Simplify ((y**(-3/11)*y)/(y**(-11)/y)*((y*y**(-1/7)*y*y*y)/y)/y**(-4))**(-23/4) assuming y is positive.
y**(-8671/77)
Simplify ((s/s**(-1/2))**(-23)*(s**(1/2))**(2/17))**25 assuming s is positive.
s**(-29275/34)
Simplify (((p/(p*p**(-2/3)*p*p)*p)/(p*p**(1/12)/p*p))/(p**(1/3))**49)**(-39) assuming p is positive.
p**(2769/4)
Simplify ((l*l/(l**0*l*l)*l)/l**(-1/8))/(l*l/(l**(-11)/l)*l*l**3) assuming l is positive.
l**(-135/8)
Simplify (y**(-1)*y*y*y**(-6)*(y**6*y)/(y**(-6)*y*y))**(11/5) assuming y is positive.
y**(66/5)
Simplify m*m/(m/(m/(m*m**(-1/21))))*m*m**(2/17)*m*m*(m*m/(m**(2/3)*m))/(m**(-2/23)*m) assuming m is positive.
m**(29441/8211)
Simplify z*z/(z/(z*z**(2/41)/z*z))*z*z**(6/5)*(z*z/z**(-1/3)*z*z)**(3/25) assuming z is positive.
z**(4888/1025)
Simplify (n**(3/5)*n)**(-9)/(n**(-13)*n**(2/11)) assuming n is positive.
n**(-87/55)
Simplify (u**(-1/4))**(6/5)/(((u*u/(u**4/u))/u)/((u/u**(-2))/u)) assuming u is positive.
u**(37/10)
Simplify (x**(-1/5)/x**(-9/5))/((x*x**(-3))/x*x/x**7) assuming x is positive.
x**(53/5)
Simplify n**(-3)*n/((n/n**(-7/8))/n)*n*(n*n**(6/13))/n**(-3/7) assuming n is positive.
n**(11/728)
Simplify ((n*((n*n/((n**(-16)/n)/n))/n)/n*n*n)/n*n/n**(-7))/((n/(n**5*n*n)*n)/n)**40 assuming n is positive.
n**268
Simplify ((k**(-1/12)*k**4)**(18/13))**35 assuming k is positive.
k**(4935/26)
Simplify (((l/l**(-23))/l)/l)**1/((l*l**(-2/3)*l*l)/(l**31*l)) assuming l is positive.
l**(155/3)
Simplify h**(-6)/h**(1/3)*(h*h**7*h*h*h)/h**(-5) assuming h is positive.
h**(29/3)
Simplify a**(7/2)/(a**1*a)*(((((a/a**(2/3))/a)/a)/a)/a)/a**22 assuming a is positive.
a**(-145/6)
Simplify ((i**(2/21)/i)/(i**(-1/16)*i))/((i*i*i/(i/i**(1/4)*i))/(i**(2/29)*i*i)) assuming i is positive.
i**(-9971/9744)
Simplify (t/t**(4/5))**(-22)/(t**29/(t*(t*t**(8/13))/t*t)) assuming t is positive.
t**
|
{
"pile_set_name": "DM Mathematics"
}
|
j.
3
Let s(b) = -b - 1. Let v be s(5). Let t be ((-5)/10)/(1/v). Solve i + 12 = t*i + 3*d, 4*d - 16 = 5*i for i.
0
Let z(w) = 3*w - 4. Let q be z(3). Suppose q*y - 3*p = 2*p, 4*p = 16. Let n = y - 4. Solve a + 15 = 3*h, h - a - 5 = -n*a for h.
5
Let o be (7 - 1)*2/4. Let f be (-1 - -11)*3/6. Suppose f*c - 11 = 9. Solve 0*z - 33 = c*d + 5*z, -o*d - z = 11 for d.
-2
Let a = 38 + -34. Solve 0 = a*m + l + 3*l + 16, -4*m + 29 = -5*l for m.
1
Let a(k) = k**3 + 7*k**2 + 4*k - 1. Let m be 3*6/9 + -5. Let p be a(m). Let t be p/2 - 2/4. Solve -2*q - w = 4*w + 10, -q - 4*w - t = 0 for q.
5
Let g = -60 + 66. Solve 0 = -2*d - d + v - g, 4*d - 4*v + 8 = 0 for d.
-2
Let j = -2 + 27. Solve -4*y + 2*m - j = 7*m, -4*y + 4*m + 20 = 0 for y.
0
Suppose 0 = -5*a - 48 + 3. Let v be (15/a)/(-5)*12. Solve -b - v*m - 6 = 0, 5*b - 3*m = 2*m + 20 for b.
2
Suppose x - 2*x = 0. Suppose -10*h + 8*h + 4 = x. Solve -l - 4 + 16 = -5*t, 3*t + 2 = -h*l for l.
2
Let v(t) = -2*t - 10. Let i be (-2)/(-10) + (-28)/(-10). Suppose -b + i*b = -14. Let y be v(b). Solve 5 = -2*a + y*a - w, 4*w = -5*a + 19 for a.
3
Let m = -25 + 25. Solve m = 5*q - i + 8, 4*q + 2 + 2 = 2*i for q.
-2
Let m be (-16)/(-3)*(-15)/(-10). Solve -m*y + 3*y - 50 = -5*z, -4*z = -2*y - 30 for z.
5
Let w be 4/14 - (-6)/(-21). Suppose w = -5*v + 5*q, -2*v - 4*q - 15 = -q. Let n(m) = -4*m. Let i be n(v). Solve -4*l + 4*s = i, 0*l - 33 = -4*l - 5*s for l.
2
Suppose -20 = -5*c, 0 = -2*u + 2*c - 2 + 18. Solve 0 = -2*t - 0 + 2, -u = -5*p + 3*t for p.
3
Let g = -16 + 20. Solve -3*l - 2*w + 2 = -4*w, -g*l + 3*w = -3 for l.
0
Suppose 4 = -4*b, 5*b + 4 + 4 = f. Solve -5*j - f*c + 4 = -22, -5*c + 2 = -2*j for j.
4
Let w = 8 - 5. Let f be (0 - -1)/((-5)/(-10)). Let o = w + f. Solve -2*x = 2*v + o + 15, 10 = -2*x for v.
-5
Suppose 0 = 4*h + 92 - 20. Let u = h - -24. Solve x - u*x + 3*c = 34, 4*x - 2*c = -26 for x.
-5
Let v be 0 + -1 - (-2 - 3). Suppose -k - 3*o + 2*o + 3 = 0, -5*k + 12 = 2*o. Suppose 0 = -k*b - 7 + 51. Solve -g - g = v*l + b, -g + 4*l + 19 = 0 for g.
-1
Suppose -b - 32 = 3*b. Let v = b - -11. Solve 4*a + g + 37 = -4*g, 9 = 2*a - v*g for a.
-3
Let a(q) = -2*q**2 - 2*q + 1. Let y be a(-2). Let o = y + 8. Suppose -m + 12 = -0*m. Solve 0 = -o*c - 2*d - m, 2*c + 4*d + 2 = -6 for c.
-2
Let d = 39 + -34. Solve 5*g = -3*k - 15, -3*g = k + 4 + d for k.
0
Let x = 77 - 73. Solve -3*s = -g + 14, -5*s + 2 = x*g + 14 for s.
-4
Let k = -15 + 16. Solve 3 = -y + 2*p, -p - 1 = -4*y + k for y.
1
Let c be ((-16)/12)/(2/(-42)). Let q be 114/8 + 21/c. Solve -q = 5*k + 4*v, k + v - 3*v - 11 = 0 for k.
1
Let h(j) = j**2 + 11*j + 20. Let u be h(-9). Suppose 0*t - 3*t + 31 = -2*d, 2*d = 2*t - 22. Solve -2*x = -3*b + 4, -u*x - 3*b + t = -5*x for x.
-5
Let d = 8 - 3. Solve 3*v + 14 = -4*c - 5, -20 = 3*v + d*c for v.
-5
Suppose 0 = 5*n - 2*j + 38, 2*n - 3*j + 6*j = 0. Let f be (2/n)/(1/(-9)). Solve -4*q - f*h - 20 = -2*h, -q - 24 = 5*h for q.
-4
Suppose -6 = -2*x + 4. Solve x*t - 16 = -k - k, 0 = 4*k + 2*t for k.
-2
Let h(s) = 6*s - 16. Let l be h(3). Solve 2*c + l*c - 8 = -d, -4*c + 8 = -5*d for d.
0
Let r = -120 - -130. Solve -3*q - r = 2*q + 3*g, q + 5*g = 20 for q.
-5
Let v(f) = -f**2 + 5*f - 3. Let p be v(2). Solve 5*x + 2*o - 15 = -3*o, 0 = -p*x - 4*o + 12 for x.
0
Suppose -3*h = -18 + 3. Let c(a) = -2*a**2 + 4*a - 2. Let k be c(1). Solve -2*v + k + 5 = -h*x, -x - v = 8 for x.
-3
Suppose 0 = 6*q - q - 15. Suppose -r = q*r. Solve 5*d + 2*h + 11 + 4 = r, -4*d - 15 = h for d.
-5
Suppose -r = 4*r - 25, z - 3*r + 10 = 0. Solve -z*j - 4 = 2*q - 16, -q = -j + 8 for j.
4
Let v = 13 + -13. Solve -4*u - 17 = 3*o, -4*o = -v*o + 4*u + 20 for o.
-3
Let n(a) = a**3 - 3*a**2 + 2. Let i be n(3). Suppose -i*h + h = -8. Let o(b) = -b + 15. Let d be o(h). Solve j = 2*g - 4, -g + 1 + d = -2*j for j.
-4
Let b(n) be the third derivative of -n**5/60 - 7*n**4/24 - n**3 + 4*n**2. Let q be b(-6). Solve z - 2*d = 3*z, q = -z - 3*d for z.
0
Let i(j) = 2*j**2 - 9*j. Let d be i(5). Solve d*g + 3*o = -11, 0*o - o = -2*g for g.
-1
Let b = -16 - -16. Let s(c) = -c - 1. Let p = 6 + -9. Let u be s(p). Solve -u*a = b, -17 = 3*x - 4*a - 8 for x.
-3
Let i = 4 + 4. Let u be 5*(-3)/((-30)/i). Solve -u = -3*y + 2*o, 4*y - 2*o - 1 = 5 for y.
2
Suppose 2*h + 24 = -6. Let z be 1/((-3)/h*-1). Let x = z - -10. Solve 2*f - 7 = q, x*f = -4*q - 8 - 7 for q.
-5
Let m(j) = j**2 - 6*j + 3. Let c be m(4). Let u = 1 - c. Suppose -14 = -5*w + u. Solve -d + 5*b + 13 = d, -w*b = -d + 11 for d.
-1
Let a(z) = z**2 + 11*z - 9. Let i be a(-12). Solve n + 0*y - 3*y = 4, -i*n - 5*y - 16 = 0 for n.
-2
Let z = -2 + 5. Let p = z - 3. Suppose 4*m + p*m = 48. Solve r = -3*n + 3, -3*r + m = r + 5*n for r.
3
Suppose -8 = -2*m + 22. Let d be (12/m)/((-6)/45). Let l = -1 - d. Solve -2*k = -17 + 7, -5*n + 3*k + l = 0 for n.
4
Let f be (-3 - -2*1) + 3. Let g(j) = -j**3 + 8*j**2. Let y be g(8). Suppose 0 = -y*b + 3*b - 12. Solve 24 = -a - m - b*m, -6 = 4*a + f*m for a.
1
Let a(t) = 2*t**3 + 1. Let g be (-6)/27 + 11/9. Let f be a(g). Solve 3*x - 2*u + 14 = f*u, -5*x + u = 16 for x.
-3
Let l = -27 - -27. Solve 2*b - 2 = 2*t - 0*b, -3*t - b + 5 = l for t.
1
Let y(g) = -g**3 - 2*g**2 + 2*g + 5. Let a be y(-3). Solve -5*k - q = a, 5*k - 2*q + 17 = -6*q for k.
-1
Let h(l) = l**3 - 5*l**2 - 6*l - 4. Let c be h(6). Let a(p) = -4*p - 3. Let s be a(c). Solve -z + 5 = 0, -2*j - 4*z = -3*z - s for j.
4
Suppose 0*n = -4*n + 12. Suppose u + 2 = 2*s + 6*u, 3*s - n = 3*u. Suppose 13 + s = 2*q. Solve m - t + 5*t = q, m = -t + 4 for m.
3
Let i = -13 + 5. Let w = -5 - i. Suppose -14 + 2 = -w*p. Solve j = -3*y - 2*j, 0 = -2*y - p*j - 6 for y.
3
Let c be 3 + -3 + 0 + 8. Let x be -10*((-12)/c + 1). Solve -4*o + 3 = 4*q - x*q, 2*q - 4 = -2*o for o.
1
Suppose -u - 5 = -3*o, 0 = -2*u + 2. Suppose 7*p - 4 = 3*p. Solve -k - p = 2, -o*k - 8 = -2*d for d.
1
Suppose 0 = -i + 4*i - 9. Let n(w) = 3*w**2 - 2*w - 2. Let o be n(i). Solve 2*r = z - 3, -r = -0*r + 3*z + o for r.
-4
Let s be -3*3/(-3) - -2. Suppose 117 = 4*f + 5. Suppose 6*o - 3*g = o + 49, s*o = -4*g + f. Solve -2*v = d - o, -5*d = 2*v - 0*v for d.
-2
Suppose j - 122 = -5*x - j, 2*x - 4*j - 44 = 0. Let a = 10 - 6. Suppose 4*o - z = 4*z + x, a*o = -z. Solve -3*u = -2*m - 8, o - 13 = -4*m - u for m.
2
Let s be (15/(-6) + 2)*-12. Let m be -1*s*(-3)/6. Suppose n = 2*n - m. Solve n*x - 11 - 4 = -3*k, -4*k = 0 for x.
5
Let o = 5 + -3. Suppose 5*s + 2*n - 2 = 4*n, 3*s = -5*n + 26. Let y be s*1 + -5 + 5. Solve -o - 2 = -y*d - 5*i, -d + 3 = 3*i for d.
-3
Let v(g) = -4*g + 1. Let d be v(-1). Suppose 5*h = c - 17, 2*c + 0*c = -d*h - 11. Let n be -2 - (h - (0 + 0)). Solve -22 = -4*u + 2*r, 5 = -4*r + n for u.
5
Let a(i) = i**3 + 7*i**2 + 6*i + 1. Let z be a(-6). Suppose 0*r = -3*r + 6. Solve -4*m - 4 = 0, -m + z = -0*v - r*v for v.
-1
Suppose -5*u - 4*d + 33 = 0, -2*d + 29 = 5*u - 0*d. Solve -35 = -u*k + 3*m, 3*k - m + 5*m + 8 = 0 for k.
4
Let v(b) = -b**2 + 3*b + 6. Let u be v(4). Solve 3*i - h - 4 = -i, -h - u = -2*i for i.
1
Let t(x) = -x - 5. Let r be t(-5). Let v be r*(7/(-2) - -3). Solve -5*k + 0*k - 5*j = 0, v = -5*k - 2*j - 12 for k.
-4
Let d = 170 + -165. Solve d*f = -10, -3*p + 1 = -2*p - 3*f for p.
-5
Suppose -5*x = -3*v - 19, v - 6*x = -2*x - 18. Let h = -15 - -18. Suppose -2*a = 3*a - 30. Solve 2*c - a = v*w, 2*w + 13 = 3*c - h*w for c.
1
Suppose -2*y - x = -13, 5*x = -4*y + 2 + 33. Solve -y*n + 3*v = 20, -2*v = -5*n + 3*v - 30 for n.
-1
Suppose 4*m = 3*t + 36, -4*m + 2*m + 28 = -4*t. Let i be ((-12)/m)/(1/(-2)). Solve -3*f - 1 = 3*o - o, -2*o - 8 = -i*f for f.
1
Suppose 0 = 5*u - 2*c - 21, 4*c - 28 - 5 = -5*u. Solve -z + u = d, 3 = -3*d + z + 2*z for d.
2
Suppose 12 - 2 = 5*w. Solve 1 + 2 = 3*r, -b - w*r = -7 for b.
5
Let h(j) = -j**2 - 4*j + 6. Let c be h(-5). Let n be c/(2 + (-9)/6). Solve -4*y = m + 4, -3*y - 8 = n*m + 2*y for m.
-4
Suppose -5*z + 12 = 5*f - 2*f, 12 = 3*f - z. Let c be (-10)/(-1 - 0/1). Let n = 0 + c. Solve k = -f*s - n, -3*s + 0*s - 9 = 0 for k.
2
Let y(l) = l**2 + 5*l - 2. Suppose -d + 2 - 8 = 0. Let a be y(d). Suppose q + 3 = a*q. Solve o - 4 = -3*k, -k - 2 + q = -2*o for k.
1
Suppose 30 = 3*r + 5*m, -4*r + m = -3*m - 8. Solve -c + 5*c + 3*s - 20 = 0, c - 2*s - r = 0 for c.
5
Let l = -41 + 80. Suppose c + 36 - l = 0. Solve 4*y + 10 = -3*q + c*y, -y
|
{
"pile_set_name": "DM Mathematics"
}
|
nd -21/332?
23572
Calculate the least common multiple of 2904 and 9372.
206184
What is the lowest common multiple of 530 and 1090?
57770
What is the smallest common multiple of 23360 and 2336?
23360
What is the smallest common multiple of 18810 and 6270?
18810
Calculate the least common multiple of 356967 and 198315.
1784835
Calculate the smallest common multiple of 36519 and 168.
292152
What is the common denominator of 35/13036 and 67/123842?
247684
Calculate the common denominator of -51/365 and 41/30806.
154030
Calculate the lowest common multiple of 78860 and 63088.
315440
What is the common denominator of -1/10 and 117/140336?
701680
Find the common denominator of 77/3240 and 167/22140.
132840
What is the smallest common multiple of 144020 and 115216?
576080
Calculate the common denominator of 51/8 and -9/24458.
97832
What is the smallest common multiple of 320 and 49792?
248960
Calculate the smallest common multiple of 2854328 and 444.
8562984
What is the common denominator of -75/16 and -59/290568?
581136
Calculate the least common multiple of 2 and 43846.
43846
Calculate the common denominator of 29/2782 and 109/8346.
8346
Calculate the least common multiple of 6 and 622916.
1868748
Calculate the smallest common multiple of 1755 and 780.
7020
What is the common denominator of 93/230890 and -109/398810?
4386910
Find the common denominator of -16/4165 and 59/8602.
2107490
Find the common denominator of -95/33608 and -73/40.
168040
What is the least common multiple of 7216 and 5904?
64944
Calculate the common denominator of -47/98800 and 173/480.
592800
What is the lowest common multiple of 3585 and 3585?
3585
What is the common denominator of -3/9706 and -1/5697?
262062
What is the common denominator of 79/6 and -87/6298?
18894
What is the least common multiple of 191365 and 4?
765460
Calculate the common denominator of -23/8780 and -7/800.
351200
What is the lowest common multiple of 64 and 172?
2752
Calculate the common denominator of -31/15594 and -59/72.
187128
Calculate the common denominator of 71/6 and -48/65149.
390894
What is the smallest common multiple of 14189 and 368914?
368914
Calculate the least common multiple of 459472 and 106032.
1378416
What is the common denominator of -101/14766 and 5/22149?
44298
Find the common denominator of -67/128583 and 17/1365.
642915
What is the lowest common multiple of 8136 and 9944?
89496
What is the least common multiple of 28152 and 2244?
309672
Find the common denominator of -21/94270 and 16/84843.
848430
Calculate the common denominator of -49/4644 and -83/10836.
32508
What is the common denominator of 12/5185 and -74/27285?
1664385
Calculate the lowest common multiple of 21154 and 35.
105770
Find the common denominator of -19/10 and 91/14706.
73530
What is the least common multiple of 50 and 6160?
30800
Calculate the common denominator of -5/578407 and -24/5.
2892035
What is the common denominator of -29/123345 and -7/1980?
5427180
Calculate the smallest common multiple of 134330 and 280.
537320
What is the common denominator of -43/1350 and -29/4950?
14850
What is the common denominator of 87/40 and -101/25070?
100280
Find the common denominator of 173/156576 and -193/430584.
1722336
What is the common denominator of -73/798 and 19/1470?
27930
Calculate the common denominator of 43/63846 and 28/11.
702306
What is the least common multiple of 6 and 641625?
1283250
Calculate the least common multiple of 533680 and 320208.
1601040
What is the common denominator of -13/12538 and 85/50152?
50152
Find the common denominator of 43/198 and -115/50328.
553608
Calculate the smallest common multiple of 783002 and 14.
5481014
Calculate the lowest common multiple of 485 and 50.
4850
What is the common denominator of -39/116 and -45/48836?
48836
Calculate the common denominator of -13/924 and -69/770.
4620
Calculate the smallest common multiple of 12012 and 9009.
36036
Find the common denominator of -10/741 and 44/48399.
919581
Find the common denominator of -67/521458 and -77/10.
2607290
Find the common denominator of -99/9452 and -51/40.
94520
Calculate the smallest common multiple of 231 and 23562.
23562
What is the smallest common multiple of 11034 and 7356?
22068
What is the smallest common multiple of 3 and 90315?
90315
Find the common denominator of -37/1700 and 67/1530.
15300
Calculate the lowest common multiple of 48 and 3576864.
3576864
What is the common denominator of 61/3054 and -107/300?
152700
What is the smallest common multiple of 56665 and 64760?
453320
What is the least common multiple of 8472 and 107312?
321936
What is the least common multiple of 11690 and 134435?
268870
Find the common denominator of -25/2844 and -2/245295.
981180
Calculate the common denominator of 105/20296 and -47/473.
223256
Calculate the least common multiple of 6649752 and 11.
73147272
What is the smallest common multiple of 1304767 and 3621?
3914301
Calculate the common denominator of -69/43022 and 65/18438.
129066
What is the least common multiple of 24 and 4973488?
14920464
Calculate the common denominator of -83/2422 and 49/8.
9688
What is the lowest common multiple of 10 and 29377?
293770
Find the common denominator of -43/669 and 1/2676.
2676
Calculate the smallest common multiple of 511004 and 9827.
511004
Calculate the common denominator of 29/49850 and -32/54835.
548350
What is the smallest common multiple of 2040 and 1480530?
5922120
Calculate the smallest common multiple of 782432 and 4.
782432
Calculate the lowest common multiple of 4368 and 1352.
56784
Calculate the common denominator of 55/2952 and -49/13752.
563832
Calculate the common denominator of -37/10590 and 25/55068.
275340
What is the lowest common multiple of 275364 and 688410?
1376820
What is the least common multiple of 6117 and 519?
1058241
Calculate the smallest common multiple of 405 and 5445.
49005
What is the lowest common multiple of 80 and 1264700?
5058800
What is the smallest common multiple of 111 and 984?
36408
Find the common denominator of -42/365 and -47/10465.
763945
What is the common denominator of 50/861 and 20/107051?
321153
What is the smallest common multiple of 980 and 72660?
508620
Calculate the lowest common multiple of 1854 and 53532.
5513796
Calculate the smallest common multiple of 13419 and 28329.
254961
Calculate the least common multiple of 11632 and 40712.
81424
What is the least common multiple of 2751 and 7336?
22008
Calculate the smallest common multiple of 3276 and 23436.
304668
What is the common denominator of 121/33096 and -10/4137?
33096
What is the common denominator of -115/53226 and 82/99?
585486
What is the lowest common multiple of 8 and 2781692?
5563384
Calculate the common denominator of 3/14749 and 85/903.
44247
What is the common denominator of 131/12366 and -71/270?
61830
Calculate the common denominator of -101/416920 and 9/11912.
416920
Find the common denominator of 14/1261 and -31/12998.
168974
Find the common denominator of -113/258 and 35/369972.
369972
What is the least common multiple of 234 and 13845?
83070
What is the common denominator of 31/661 and -7/5?
3305
Calculate the common denominator of -75/4276 and -13/81244.
81244
What is the least common multiple of 3289 and 1898?
480194
Find the common denominator of -59/20 and 95/535736.
2678680
Find the common denominator of -33/3807389 and -49/9.
34266501
What is the least common multiple of 22 and 80144?
881584
What is the lowest common multiple of 525 and 10650?
74550
Calculate the common denominator of -93/22 and -43/8162.
8162
What is the common denominator of -62/17661 and 109/174?
35322
Calculate the common denominator of 20/11011 and 86/12705.
165165
What is the common denominator of 11/1922 and -23/184512?
184512
Calculate the common denominator of -61/110244 and -9/44.
1212684
What is the common denominator of -32/11487 and -29/35?
57435
Calculate the lowest common multiple of 6474 and 1328.
51792
Find the common denominator of 91/582 and -121/7110.
689670
Calculate the common denominator of -61/12390 and -9/20650.
61950
Calculate the lowest common multiple of 33984 and 60.
169920
Calculate the common denominator of 3/32 and 9/40744.
162976
What is the common denominator of -125/12 and -103/369030?
738060
|
{
"pile_set_name": "DM Mathematics"
}
|
475, 1520, 1595, 1700, 1835?
15*t**2 + 1460
What is the q'th term of 1030, 1001, 1002, 1033, 1094, 1185, 1306?
15*q**2 - 74*q + 1089
What is the l'th term of 232483, 232480, 232477, 232474?
-3*l + 232486
What is the z'th term of 229082, 458165, 687248, 916331?
229083*z - 1
What is the b'th term of 75693, 75767, 75843, 75921, 76001, 76083?
b**2 + 71*b + 75621
What is the z'th term of 1242, 2442, 3642, 4842, 6042?
1200*z + 42
What is the l'th term of 5048, 10095, 15142, 20189, 25236, 30283?
5047*l + 1
What is the n'th term of -322, -323, -348, -391, -446?
n**3 - 18*n**2 + 46*n - 351
What is the k'th term of -329, -2404, -8041, -19022, -37129, -64144, -101849, -152026?
-297*k**3 + k**2 + k - 34
What is the h'th term of 56417, 56424, 56431, 56438, 56445, 56452?
7*h + 56410
What is the n'th term of -136, 254, 1726, 4820, 10076, 18034, 29234?
90*n**3 + n**2 - 243*n + 16
What is the g'th term of 1067, 1036, 987, 914, 811, 672?
-g**3 - 3*g**2 - 15*g + 1086
What is the v'th term of 28181, 28118, 28005, 27836, 27605?
-v**3 - 19*v**2 + v + 28200
What is the y'th term of 3262173, 6524345, 9786517, 13048689, 16310861, 19573033?
3262172*y + 1
What is the p'th term of -9791, -9901, -10011?
-110*p - 9681
What is the w'th term of -1143, -1634, -2125, -2616?
-491*w - 652
What is the n'th term of -459286, -459288, -459290?
-2*n - 459284
What is the a'th term of 8897, 8645, 8393, 8141?
-252*a + 9149
What is the x'th term of -3241, -6496, -9793, -13156, -16609?
-4*x**3 + 3*x**2 - 3236*x - 4
What is the p'th term of 37, -21, -163, -389?
-42*p**2 + 68*p + 11
What is the a'th term of -52, -51, -62, -97, -168, -287?
-2*a**3 + 6*a**2 - 3*a - 53
What is the s'th term of -117377, -117345, -117313, -117281, -117249?
32*s - 117409
What is the g'th term of -463, -449, -409, -343, -251, -133, 11?
13*g**2 - 25*g - 451
What is the o'th term of -1611, -1636, -1661, -1686, -1711?
-25*o - 1586
What is the o'th term of -83037, -83030, -83019, -83004, -82985, -82962?
2*o**2 + o - 83040
What is the z'th term of -292, -490, -692, -898, -1108?
-2*z**2 - 192*z - 98
What is the k'th term of 168, 165, 184, 237, 336, 493?
2*k**3 - k**2 - 14*k + 181
What is the i'th term of -10927, -43735, -98421, -174985?
-10939*i**2 + 9*i + 3
What is the u'th term of 94082, 94118, 94154, 94190, 94226?
36*u + 94046
What is the c'th term of -4176, -3937, -3540, -2985, -2272, -1401, -372?
79*c**2 + 2*c - 4257
What is the r'th term of -2970, -5955, -8956, -11979, -15030?
-r**3 - 2*r**2 - 2972*r + 5
What is the v'th term of 800776, 800774, 800772, 800770, 800768, 800766?
-2*v + 800778
What is the o'th term of -3355, -3366, -3377, -3388?
-11*o - 3344
What is the m'th term of -505, -1017, -1541, -2089, -2673?
-2*m**3 + 6*m**2 - 516*m + 7
What is the y'th term of -293, -268, -213, -116, 35, 252?
2*y**3 + 3*y**2 + 2*y - 300
What is the p'th term of -19618, -39078, -58536, -77992?
p**2 - 19463*p - 156
What is the i'th term of 12, 27, 50, 81, 120?
4*i**2 + 3*i + 5
What is the v'th term of -2, -44, -104, -182, -278?
-9*v**2 - 15*v + 22
What is the q'th term of 132, 78, -18, -162, -360, -618, -942?
-q**3 - 15*q**2 - 2*q + 150
What is the x'th term of -654, -1229, -1806, -2385, -2966, -3549, -4134?
-x**2 - 572*x - 81
What is the l'th term of -31818, -31823, -31828, -31833, -31838?
-5*l - 31813
What is the m'th term of 12, -155, -622, -1539, -3056, -5323, -8490?
-25*m**3 + 8*m + 29
What is the y'th term of 21587, 43168, 64749, 86330?
21581*y + 6
What is the w'th term of 273192, 273188, 273182, 273174, 273164?
-w**2 - w + 273194
What is the g'th term of 8359, 33277, 74813, 132973, 207763, 299189, 407257, 531973?
g**3 + 8303*g**2 + 2*g + 53
What is the w'th term of 204, 366, 528?
162*w + 42
What is the t'th term of -43666, -43681, -43712, -43765, -43846, -43961, -44116, -44317?
-t**3 - 2*t**2 - 2*t - 43661
What is the j'th term of -436, -891, -1352, -1819, -2292, -2771?
-3*j**2 - 446*j + 13
What is the z'th term of 1015, 2120, 3239, 4378, 5543, 6740?
z**3 + z**2 + 1095*z - 82
What is the q'th term of -681225, -681224, -681223?
q - 681226
What is the r'th term of 742, 878, 1014, 1150, 1286?
136*r + 606
What is the k'th term of -1579, -1594, -1607, -1618, -1627, -1634, -1639?
k**2 - 18*k - 1562
What is the b'th term of 265481, 530959, 796437?
265478*b + 3
What is the j'th term of -46, 88, 440, 1118, 2230, 3884, 6188, 9250?
18*j**3 + j**2 + 5*j - 70
What is the z'th term of -44411, -44416, -44425, -44438?
-2*z**2 + z - 44410
What is the j'th term of 38846, 77706, 116564, 155420, 194274, 233126, 271976?
-j**2 + 38863*j - 16
What is the z'th term of 655, 1011, 1315, 1567?
-26*z**2 + 434*z + 247
What is the k'th term of -580, -1198, -1824, -2458, -3100?
-4*k**2 - 606*k + 30
What is the w'th term of 67, 722, 2563, 6184, 12179, 21142?
99*w**3 - w**2 - 35*w + 4
What is the r'th term of 1512, 2901, 4060, 4875, 5232?
-19*r**3 - r**2 + 1525*r + 7
What is the t'th term of 1118, 1108, 1098, 1088, 1078?
-10*t + 1128
What is the d'th term of -2334, -6068, -12290, -21000?
-1244*d**2 - 2*d - 1088
What is the y'th term of 98719, 98716, 98713, 98710?
-3*y + 98722
What is the g'th term of 417, 404, 391, 378, 365?
-13*g + 430
What is the s'th term of -13131, -52564, -118285, -210288, -328567?
s**3 - 13150*s**2 + 10*s + 8
What is the b'th term of -210, -369, -502, -597, -642, -625, -534, -357?
2*b**3 + b**2 - 176*b - 37
What is the n'th term of 11252224, 11252225, 11252226, 11252227, 11252228, 11252229?
n + 11252223
What is the f'th term of -623, -805, -981, -1151?
3*f**2 - 191*f - 435
What is the r'th term of 786722, 786721, 786720, 786719, 786718?
-r + 786723
What is the a'th term of 436, 1701, 3804, 6751, 10548?
a**3 + 413*a**2 + 19*a + 3
What is the g'th term of 288, 293, 280, 243, 176?
-g**3 - 3*g**2 + 21*g + 271
What is the h'th term of -5433, -5524, -5675, -5886?
-30*h**2 - h - 5402
What is the k'th term of 12, -2079, -7748, -18783, -36972?
-298*k**3 - k**2 - 2*k + 313
What is the h'th term of 722, 2545, 4932, 7349, 9262, 10137, 9440?
-89*h**3 + 816*h**2 - 2*h - 3
What is the t'th term of 773327, 773328, 773329, 773330, 773331?
t + 773326
What is the k'th term of 5199, 20853, 46945, 83475?
5219*k**2 - 3*k - 17
What is the a'th term of 4488, 9067, 13646, 18225, 22804?
4579*a - 91
What is the f'th term of 1889, 3783, 5677?
1894*f - 5
What is the s'th term of -2581, -10317, -23213, -41269?
-2580*s**2 + 4*s - 5
What is the b'th term of -750260, -750268, -750280, -750296, -750316, -750340?
-2*b**2 - 2*b - 750256
What is the g'th term of 522, 496, 434, 318, 130, -148?
-3*g**3 - 5*g + 530
What is the g'th term of -7588, -7597, -7606?
-9*g - 7579
What is the n'th term of 98, 819, 2726, 6413, 12474, 21503?
99*n**3 - n**2 + 31*n - 31
What is the j'th term of -10865, -21740, -32627, -43532, -54461, -65420?
-j**3 - 10868*j + 4
What is the b'th term of 21121, 42306, 63481, 84640, 105777?
-b**3 + b**2 + 21189*b - 68
What is the h'th term of 450, 886, 1316, 1752, 2206, 2690, 3216, 3796?
2*h**3 - 15*h**2 + 467*h - 4
What is the i'th term of 814, 798, 780, 760, 738?
-i**2 - 13*i + 828
What is the k'th term of 106, 189, 272, 355?
83*k + 23
What is the r'th term of 11103, 22122, 33119, 44082, 54999, 65858?
-2*r**3 + r**2 + 11030*r + 74
What is the x'th term of 2567497, 2567496, 2567495, 2567494, 2567493, 2567492?
-x + 2567498
What is the v'th term of 6035, 6191, 6347, 6503?
156*v + 5879
What is the r'th term of -157, -1160, -3873, -9154, -17861, -30852, -48985?
-143*r**3 + 3*r**2 - 11*r - 6
What is the x'th term of 4487, 9008, 13529, 18050?
4521*x - 34
What is the d'th term of 20361, 20386, 20421, 20460, 20497, 20526, 20541, 20536?
-d**3 + 11*d**2 - d + 20352
What is the x'th term of -1158, -2312, -3466, -4620?
-1154*x - 4
What is the k'th term of -137, -242, -349, -458, -569?
-k**2 - 102*k - 34
What is the f'th term of -7508, -8011, -8514?
-503*f - 7005
What is the r'th term of 146704, 146708, 146714, 146722, 146732, 146744, 146758?
r**2 + r + 146702
What is the k'th term of 450, 517, 694, 1035, 1594?
9*k**3 + k**2 + k + 439
What is the a'th term of -693, -1383, -2069, -2751, -3429?
2*a**2 - 696*a + 1
What is the x'th term of -1387, 1507, 6331, 13085, 21769, 32383, 44927?
965*x**2 - x - 2351
What is the r'th term of 379, 471, 551, 613, 651, 659?
-r*
|
{
"pile_set_name": "DM Mathematics"
}
|
0
Calculate prob of sequence xcx when three letters picked without replacement from {x: 3, c: 8, z: 5}.
1/70
Three letters picked without replacement from tkdkdcddcddcgcghcddt. Give prob of sequence tdh.
2/855
Calculate prob of sequence hnaz when four letters picked without replacement from {t: 1, h: 1, z: 1, n: 1, j: 8, a: 2}.
1/12012
Calculate prob of sequence ssss when four letters picked without replacement from srssrsss.
3/14
Calculate prob of sequence we when two letters picked without replacement from wywlqywyeem.
3/55
Two letters picked without replacement from wsfkwxh. Give prob of sequence kx.
1/42
Calculate prob of sequence mmem when four letters picked without replacement from emmm.
1/4
Four letters picked without replacement from {i: 8, s: 8, r: 1}. What is prob of sequence rsis?
2/255
What is prob of sequence zoz when three letters picked without replacement from kzovz?
1/30
Four letters picked without replacement from trtyyyytrytyytyyyyyy. Give prob of sequence trtt.
1/969
Calculate prob of sequence mi when two letters picked without replacement from iiiiiimi.
1/8
Calculate prob of sequence yqde when four letters picked without replacement from {q: 2, d: 1, e: 1, y: 2}.
1/90
What is prob of sequence szr when three letters picked without replacement from zrsssszrsr?
1/24
Two letters picked without replacement from {o: 3, b: 1, c: 1, w: 1, u: 1}. Give prob of sequence bu.
1/42
What is prob of sequence kkj when three letters picked without replacement from kkkjkjjkkkjkkkkjkkkk?
35/228
What is prob of sequence ea when two letters picked without replacement from eajfd?
1/20
Two letters picked without replacement from {r: 6, m: 2, o: 2, u: 1, x: 3}. Give prob of sequence oo.
1/91
What is prob of sequence dd when two letters picked without replacement from {m: 2, d: 1}?
0
Two letters picked without replacement from {m: 1, e: 5, z: 1, u: 1, p: 7}. Give prob of sequence up.
1/30
Two letters picked without replacement from xjjxjjjxxxxjjjxjjxxx. Give prob of sequence xx.
9/38
What is prob of sequence yyy when three letters picked without replacement from ktbyrkbybby?
1/165
Calculate prob of sequence mj when two letters picked without replacement from oojemeo.
1/42
Four letters picked without replacement from totttgol. Give prob of sequence olog.
1/840
Two letters picked without replacement from {z: 1, q: 1, t: 1, a: 1, u: 1}. What is prob of sequence aq?
1/20
Four letters picked without replacement from ooqoodopoqdqq. What is prob of sequence ooqo?
4/143
Three letters picked without replacement from vvvvznhzvvvhvnh. What is prob of sequence nnv?
8/1365
Two letters picked without replacement from szsz. What is prob of sequence ss?
1/6
Calculate prob of sequence sn when two letters picked without replacement from bbsbpbnsbbbpbppp.
1/120
Calculate prob of sequence wf when two letters picked without replacement from hfffwhwf.
1/7
Two letters picked without replacement from {p: 17, e: 3}. What is prob of sequence pe?
51/380
What is prob of sequence wig when three letters picked without replacement from iiigejiiieiegweigig?
2/323
Four letters picked without replacement from {v: 5, z: 1, k: 3, q: 1}. Give prob of sequence vvvk.
1/28
What is prob of sequence ww when two letters picked without replacement from owwwwo?
2/5
Four letters picked without replacement from {w: 1, p: 1, g: 1, l: 2, f: 2}. Give prob of sequence lwlf.
1/210
What is prob of sequence bf when two letters picked without replacement from llfblbbfbfl?
6/55
Three letters picked without replacement from qoudhheuheeehd. What is prob of sequence dhu?
2/273
What is prob of sequence oo when two letters picked without replacement from {o: 6, f: 4}?
1/3
What is prob of sequence xhkk when four letters picked without replacement from {h: 1, x: 4, z: 8, k: 5}?
1/918
Two letters picked without replacement from {e: 7, o: 3, m: 1, v: 1}. What is prob of sequence oe?
7/44
What is prob of sequence ga when two letters picked without replacement from {g: 5, a: 7}?
35/132
Calculate prob of sequence vqv when three letters picked without replacement from fjvuuvqqufjudfqvfqdd.
1/285
Calculate prob of sequence ee when two letters picked without replacement from {e: 5, f: 11}.
1/12
Three letters picked without replacement from {b: 1, g: 7, t: 1, z: 1, a: 3}. What is prob of sequence ztb?
1/1716
What is prob of sequence zpzm when four letters picked without replacement from {p: 3, z: 7, m: 8}?
7/510
What is prob of sequence aj when two letters picked without replacement from zjaajajaaaaaajazza?
22/153
Two letters picked without replacement from fffvffffvf. Give prob of sequence vv.
1/45
What is prob of sequence aacc when four letters picked without replacement from {c: 3, a: 17}?
4/285
Three letters picked without replacement from {l: 5, b: 2, f: 6}. Give prob of sequence bfb.
1/143
What is prob of sequence zk when two letters picked without replacement from ekgqzre?
1/42
Four letters picked without replacement from qqoqqoqqqqqqqqo. What is prob of sequence qooo?
1/455
Four letters picked without replacement from {c: 1, q: 2, f: 9, n: 3, u: 2}. Give prob of sequence nqcq.
1/9520
Two letters picked without replacement from klpppplplkfki. Give prob of sequence kp.
5/52
What is prob of sequence yylo when four letters picked without replacement from {o: 2, l: 10, y: 2}?
5/3003
What is prob of sequence ke when two letters picked without replacement from kskjejfkkkksjkkkj?
9/272
Three letters picked without replacement from {k: 2, o: 7, t: 2}. What is prob of sequence kto?
14/495
Calculate prob of sequence mm when two letters picked without replacement from {v: 7, m: 2}.
1/36
What is prob of sequence sanc when four letters picked without replacement from {a: 2, n: 5, s: 4, c: 4}?
4/819
Three letters picked without replacement from cccmdcmmcgmcmcdgcm. What is prob of sequence ddm?
1/408
Two letters picked without replacement from {z: 2, x: 1, e: 1, m: 5, t: 3}. What is prob of sequence mz?
5/66
What is prob of sequence ffmm when four letters picked without replacement from {f: 4, m: 3}?
3/35
Two letters picked without replacement from {a: 2, i: 1}. What is prob of sequence ia?
1/3
What is prob of sequence gaz when three letters picked without replacement from azzgvagggzaazza?
10/273
Three letters picked without replacement from kdkkkgikiwwwkkkkkdw. What is prob of sequence kgw?
20/2907
Calculate prob of sequence ybi when three letters picked without replacement from {y: 1, n: 1, b: 2, i: 2}.
1/30
What is prob of sequence kkx when three letters picked without replacement from aakkxxkkkkaaakaxxxa?
35/969
Calculate prob of sequence uu when two letters picked without replacement from {u: 5, m: 15}.
1/19
Two letters picked without replacement from nnnwnwrnr. Give prob of sequence rn.
5/36
Two letters picked without replacement from {k: 3, a: 5, c: 3, u: 1, w: 1}. What is prob of sequence kc?
3/52
What is prob of sequence frr when three letters picked without replacement from {m: 3, a: 2, q: 2, f: 10, r: 2, w: 1}?
1/342
Two letters picked without replacement from jtjtjjjjjttjtttttjj. What is prob of sequence jt?
5/19
Calculate prob of sequence ou when two letters picked without replacement from duuuudouo.
5/36
What is prob of sequence za when two letters picked without replacement from {z: 1, l: 2, t: 2, a: 1, n: 2, v: 1}?
1/72
Four letters picked without replacement from ssssssosssvsoosssvov. What is prob of sequence ooov?
1/1615
Calculate prob of sequence pnn when three letters picked without replacement from ppnpnnnnnnn.
28/165
What is prob of sequence dv when two letters picked without replacement from {d: 1, m: 1, v: 1, q: 2}?
1/20
Calculate prob of sequence qqqz when four letters picked without replacement from {z: 7, q: 12}.
385/3876
Calculate prob of sequence vz when two letters picked without replacement from {v: 1, z: 1, s: 1}.
1/6
Two letters picked without replacement from {k: 3, w: 3, n: 1}. What is prob of sequence nk?
1/14
Calculate prob of sequence qqpf when four letters picked without replacement from pqqqffqfpfpffppd.
3/364
Calculate prob of sequence fhhh when four letters picked without replacement from {r: 5, h: 6, f: 4}.
4/273
Three letters picked without replacement from {l: 5, r: 4, c: 7}.
|
{
"pile_set_name": "DM Mathematics"
}
|
ive of 2*b**3/3 + 2*b**2 + 2. Let l(j) = 4*m(j) - 3*p(j). Let n(o) = 5*o + 3*o - 4*o. Give l(n(d)).
-32*d**2
Let v(y) = 3047*y - 1. Let r(w) = 20*w. Determine r(v(b)).
60940*b - 20
Let s(n) = n**2. Let d(u) = u - 477949. Calculate s(d(g)).
g**2 - 955898*g + 228435246601
Let x(l) = -20*l**2. Let o(f) be the third derivative of -19*f**5/60 - 81*f**2 - 2*f. Give o(x(d)).
-7600*d**4
Let c(x) = 6*x**2 + 32*x. Let d(a) = -2*a**2 - 10*a. Let o(g) = -5*c(g) - 16*d(g). Let h(q) = 190*q. What is o(h(p))?
72200*p**2
Let l(m) be the second derivative of m**3/6 + 85*m. Let x(q) = -31*q. Give x(l(h)).
-31*h
Let f(z) = -180*z**2. Let w(a) = 11423*a. Determine w(f(y)).
-2056140*y**2
Let p(y) = 5*y + 3*y - 6*y + 2*y. Let u(x) be the third derivative of x**8/6720 - x**5/10 + 3*x**2. Let s(l) be the third derivative of u(l). Give p(s(k)).
12*k**2
Let u(x) = 20*x**2. Let k(f) = -13*f**2 - 4386. Calculate k(u(t)).
-5200*t**4 - 4386
Let d(v) be the second derivative of -v**5/30 + 19*v**2 + v - 15. Let p(i) be the first derivative of d(i). Let b(t) = -61*t**2. Calculate b(p(a)).
-244*a**4
Let p(y) = y. Let r = -15 - -25. Let a = 16 - r. Let z(l) = 5*l + a*l - 3*l - 3*l. Calculate p(z(s)).
5*s
Let n(s) = -9*s**2. Let b(j) = -362*j + 3. Calculate n(b(g)).
-1179396*g**2 + 19548*g - 81
Let n(v) = -3*v**2 + 2*v + 2. Let l(d) = 10*d**2 - 7*d - 7. Let u(m) = -6*l(m) - 21*n(m). Let k(h) = 254*h**2 + h - h - 247*h**2. What is u(k(i))?
147*i**4
Let a(p) = 2*p. Let z(n) = -152342*n**2. Determine z(a(q)).
-609368*q**2
Let t = 19 + -10. Suppose -u = -4*u + t. Let m(h) = h - 3. Let w(d) = 6*d - 14. Let o(a) = u*w(a) - 14*m(a). Let l(v) = -2*v. Give l(o(k)).
-8*k
Let l(h) be the first derivative of -h**4/12 + 10*h - 8. Let w(i) be the first derivative of l(i). Let q(k) = -50*k. Determine q(w(c)).
50*c**2
Let k(a) = -a**2. Suppose 4*t - 5*i = 2*t + 10, 2*i = t - 5. Let l(d) = 282 - 282 + t*d. Calculate l(k(w)).
-5*w**2
Let n(o) = o**2 + 5*o + 3. Let u be n(-5). Let r(v) = 4*v - v + u*v. Let s(x) be the first derivative of -2*x**3/3 - 2731. Determine s(r(a)).
-72*a**2
Let y = 240 + -237. Let c(w) be the first derivative of 0*w**2 - 3 + 0*w + 4/3*w**y. Let v(h) = h. Determine c(v(f)).
4*f**2
Let s(v) = -144*v**2. Let c(z) = 4*z**2 - 9*z**2 + 4*z**2. Calculate s(c(j)).
-144*j**4
Let u(t) = 2*t + 3*t + 0*t - 2 + 13*t - 5*t. Let q(n) = 4*n. What is u(q(o))?
52*o - 2
Let p(r) = 5*r. Let l(a) = 9164*a**2. What is l(p(y))?
229100*y**2
Let y(r) = -3*r**2. Let u = 406 + -401. Let w(z) be the first derivative of 2/3*z**3 + 0*z + 0*z**2 + u. What is y(w(v))?
-12*v**4
Let u(v) = -v**2 - 3*v**2 - 8*v**2 + 2*v**2 + 7*v**2. Let z(a) = 82*a. Calculate u(z(h)).
-20172*h**2
Let v(f) be the first derivative of -f**2/2 + 369. Let s(q) = 28*q**2. What is s(v(h))?
28*h**2
Suppose -15*h + 15 + 45 = 0. Let n(o) = 13 - h*o - 15 + 2. Let c(t) = 5*t. Calculate c(n(k)).
-20*k
Let y(a) be the first derivative of -a**2/2 + 1. Let j(w) be the third derivative of w**5/30 - 355*w**2 + w. Give y(j(f)).
-2*f**2
Let n(o) = -3*o. Let f(s) = -46 - 5*s**2 + 46. Calculate f(n(u)).
-45*u**2
Let i(j) = -4*j**2 - 337. Let n(b) = -48*b**2. Determine i(n(g)).
-9216*g**4 - 337
Let h(x) = -x. Let u(q) = 83*q**2 - 5. Let f(v) = 1287*v**2 - 78. Suppose 2*o - 10 = -g, 3*g = 3*o + o - 20. Let r(y) = o*f(y) - 78*u(y). What is r(h(s))?
-39*s**2
Let v(m) be the second derivative of 15*m + 0 + 1/6*m**4 + 0*m**2 + 0*m**3. Let u(j) = -4*j. What is u(v(h))?
-8*h**2
Let f(n) = -4*n**2 + 5. Let r(y) = 7*y**2 - 7. Let g(d) = 7*f(d) + 5*r(d). Let x(c) be the second derivative of c**3/6 + c. Give g(x(u)).
7*u**2
Let r(u) = 14*u**2. Let x(t) = -t**2 + 17 - 35 + 18. Calculate r(x(m)).
14*m**4
Let c(n) = 27*n**2. Let s(u) = -17*u - 396. Calculate s(c(o)).
-459*o**2 - 396
Let c be 2 + 20/(-5) - -39. Let q(j) = -6*j + c - 37. Let z(y) = y. Determine z(q(x)).
-6*x
Suppose 5*f - 2*u + 9 = 63, -24 = -3*f - 3*u. Let k(g) = 4*g + 6*g - f*g + 2*g. Let c(b) = -3*b. Give k(c(j)).
-6*j
Let h(w) = -70*w. Let c(b) be the third derivative of 0*b**3 + 0*b + 0*b**4 + 0 - 51*b**2 - 1/30*b**5. What is c(h(s))?
-9800*s**2
Let u = 4 + 10. Let q be (u/49)/(1/7). Let x(y) = 34*y**2 - 13*y**q - 22*y**2. Let s(b) = -b**2. Give s(x(d)).
-d**4
Let t(j) = -2*j**2 + 5*j. Suppose m + 4*m - 25 = 0. Let w(p) = 2*p**2 - 6*p. Let q(u) = m*w(u) + 6*t(u). Let y(z) = 13*z. Calculate q(y(n)).
-338*n**2
Let s(k) = -2*k**2. Let x = 19 + -16. Let m = 0 + 0. Let a(r) = m*r + x*r + 9*r. What is s(a(l))?
-288*l**2
Let d(p) = 3*p - 9. Let o(n) = 3 - 81*n**2 + 83*n**2 - 3. Give o(d(y)).
18*y**2 - 108*y + 162
Let g(b) = -2*b. Let w be (-4)/6 - (-262)/6. Let s = 9 + w. Let x(o) = 29*o - s*o + 25*o. Give g(x(f)).
-4*f
Let h(p) be the second derivative of 2/3*p**3 - 4*p + 0*p**2 + 0. Let c(q) = -2*q**2. What is h(c(k))?
-8*k**2
Let d(y) = 6*y - 216. Let l(n) = n - 45. Let j(v) = -5*d(v) + 24*l(v). Let b(g) = -g - 2. Let s(c) = c + 3. Let z(o) = 3*b(o) + 2*s(o). What is j(z(f))?
6*f
Let n(m) be the first derivative of -4 + 4 + 1 - 5*m**2 + 3. Let v(d) = 2*d. What is n(v(b))?
-20*b
Let g(r) = -9*r**2. Let b(d) = 34 + 36 - 70 + d. Determine b(g(u)).
-9*u**2
Let x(l) = 17*l - 62*l - 37*l - 86*l. Let w(r) = r**2. Give w(x(i)).
28224*i**2
Let i(s) = 5*s**2. Let f(d) = 0*d - 3 - d + 2. Let k(a) = -10*a - 45. Let m(g) = -9*g - 38. Let z(v) = -5*k(v) + 6*m(v). Let u(l) = 3*f(l) - z(l). Give i(u(y)).
5*y**2
Let t(f) be the third derivative of 0*f + 0*f**3 + 1/15*f**5 + 0 + 0*f**4 - 9*f**2. Let k(l) = 10*l**2. What is k(t(r))?
160*r**4
Suppose 0*v + 3*v = 0. Let o(z) = -1 + 1 + 3*z + v*z. Let r(s) = 6*s**2. Calculate r(o(q)).
54*q**2
Let i be 8 + -1 - (11 + -8). Let g(k) = -i*k + 3 - k - 3. Let h(v) = 4*v. Give g(h(p)).
-20*p
Let z(t) = 4*t**2. Let g(j) be the first derivative of 25*j**3/3 + j**2 - 111. Calculate z(g(b)).
2500*b**4 + 400*b**3 + 16*b**2
Let i(h) = -h + h - 2*h**2. Let q(k) = -10995458 + 18*k**2 + 10995458. What is q(i(s))?
72*s**4
Let x(i) be the first derivative of 13*i**2/2 - 26. Let h(u) = -11*u**2. What is h(x(v))?
-1859*v**2
Let w(g) = 4*g + 3. Let s(b) = 7*b + 3*b - b - 10*b. Determine s(w(x)).
-4*x - 3
Let m(j) = j**2 - 6728. Let q(i) = -9*i**2. Calculate m(q(g)).
81*g**4 - 6728
Let h(k) = -k - 21. Let f(i) = -10*i**2. Give h(f(x)).
10*x**2 - 21
Let x(g) = -4964*g**2. Let n(s) = 19*s. Determine x(n(b)).
-1792004*b**2
Let f(g) = -1538*g**2. Let c(t) = -6*t**2. Determine c(f(o)).
-14192664*o**4
Let d(q) = -15*q**2. Let k(v) = -20296*v**2. Give k(d(a)).
-4566600*a**4
Let g(w) = -282*w. Let y(n) = -93*n**2. Give g(y(u)).
26226*u**2
Let m(v) = 14*v. Let l(b) = 2*b. Let a(p) = -4*p. Let s(x) = -a(x) - 4*l(x). Give s(m(c)).
-56*c
Let b(f) be the first derivative of -7*f**5/60 + 3*f**2 - 9. Let u(n) be the second derivative of b(n). Let h(v) = -3*v**2. Give h(u(c)).
-147*c**4
Let r(i) = 0*i + 10*i - 8*i. Let s(g) be the first derivative of -g**4/3 + 3*g + 2. Let m(q) be the first derivative of s(q). Calculate m(r(n)).
-16*n**2
Let f(m) = -2*m**2. Let g(p) = 5 - 21*p**2 - 8*p**2 - 5. Determine f(g(l)).
-1682*l**4
Let h(b) be the first derivative of b**5/60 + 21*b**2/2 + 2*b - 42. Let q(t) be the second derivative of h(t). Let a(m) = 8*m. Give q(a(w)).
64*w**2
Let x(g) = -2*g**2. Let z(k) be the third derivative of 11*k**6/720 + 11*k**4/12 + 18*k**2. Let l(o) be the second derivative of z(o). What is l(x(h))?
-22*h**2
Let x(v) = -12*v + 2. Let g(j) = 4*j - 1. Let k(q) = 2*g(q) + x(q). Let u(m) = 257*m**2. Give u(k(r)).
4112*r**2
Let s(c) = -14*c. Let t(y) be the third derivative of -y**7/5040 + 7*y**5/30 - 4*y**2. Let f(g) be the third derivative of t(g). Determine f(s(v)).
14*v
Let z(x) = 656733*x**2. Let h(v) = -v**2. Calculate z(h(p)).
656733*p**4
Let h(m) = -15*m**2. Let x(a) = 9*a - 19*a + 14*a. Determine x(h(c)).
-60*c**2
Let p(k) be the second derivative of -7*k**5/60 + 3*k**2/2 - 12*k. Let q(a) be the first derivative of p(a). Let f(d) = d**2. Determine f(q(x)).
49*x**4
Let w(f) = f**2 - 1 + 1. Let u(v) = 4*v**3 + v**2 + v - 2. Let h be u(1). Let p(r) = -h*r + 9*r - 19*r. Give p(w(a)).
-14*a**2
Let q(s) = 14*s + 19*s - 48*s + 17*s. Let t(a) = -237*a**2. Calculate t(q(w)).
-948*w**2
Let j(t) = -12*t**2 + 6*t. Let n(l) = -15*l**2 + 7*l. Let c(f) = -7*j(f) + 6*n(f). Let y(v) = 24*v -
|
{
"pile_set_name": "DM Mathematics"
}
|
t q = -118 - -124. Let m(w) = -w**3 + 5*w**2 + 9*w - 18. Let o be m(q). Suppose 2*y = 4*d + 136, o = 4*y + 2*d - 252 - 50. Does 15 divide y?
False
Let a = 15854 - 11396. Is 3 a factor of a?
True
Let m be (0/(4 - 2))/(-2). Let d be m/(-1) - (-8)/(-2). Let k(y) = 3*y**2 + 5*y - 4. Is k(d) a multiple of 8?
True
Let f(b) = 4*b - 23. Let d(j) = -j**2 + 13*j + 15. Let v be d(10). Suppose 0*g + 5*g = v. Does 7 divide f(g)?
False
Let s(r) = -8*r - 23. Let x be s(-5). Let m(h) = -43*h + 16*h + 9*h + 9*h - x. Does 23 divide m(-11)?
False
Suppose 5*l + 899 = n, 4*n + 3*l = l + 3508. Suppose -6*u + 2*u - 185 = -k, -5*k = 3*u - n. Suppose 4*f + 3*y = k, 0*y + 2*y = -f + 38. Is f a multiple of 16?
True
Let t(n) = 16*n - 33. Suppose -6*m = -11*m + 350. Let h = 74 - m. Is 15 a factor of t(h)?
False
Suppose 0 = -43*d - 4*d + 26320. Does 7 divide d?
True
Let j = -53772 + 90256. Is j a multiple of 84?
False
Let d(v) be the first derivative of 5*v**2 + 56*v + 36. Let b be d(-6). Does 3 divide ((-18)/(-24))/(b/(-96))?
True
Let f be (-9624)/(-28) + 48/(-28) + 2. Suppose f = 4*l - 0*l. Let u = -54 + l. Is u a multiple of 11?
False
Suppose -4*n + 724 = -4*t, -n - t + 206 = 3*t. Let c = n + 0. Is c a multiple of 6?
True
Let y be ((4 - -257) + 2)*1/1. Let f = -209 + y. Does 9 divide f?
True
Let h(t) = -5*t + 94. Let n be h(12). Let g = n - 9. Does 3 divide g?
False
Let a(o) = 2*o + 9. Let n(v) = -23*v - 65. Let m(k) = 15*k + 43. Let l(t) = -8*m(t) - 5*n(t). Let q(u) = 5*a(u) + 3*l(u). Is 22 a factor of q(-7)?
False
Let j(b) = -27*b + 2447. Is j(70) a multiple of 6?
False
Let a(i) = -i**3 + 10*i**2 - 11*i + 5. Let w be a(7). Suppose 4*z + 131 = -5*l, 2*l - z + 3*z + 54 = 0. Let x = l + w. Is x a multiple of 7?
False
Let l(u) = 72*u**2 + 115*u - 37. Does 13 divide l(7)?
False
Suppose 3*l = -b + 13, 4*l - 21 = 2*b + 3. Suppose 3*g + 4*t - 1724 = -2*g, 5*g - 1720 = -l*t. Is 12 a factor of g?
True
Suppose 4*p - 32 = 76. Let n = p - 27. Does 12 divide n - -1 - (-101 - -5)?
False
Let t(w) = -27*w - 3. Let q be t(-1). Suppose -96 = -5*l - 2*c, 2*l = 3*l + 2*c - q. Let f = l - -6. Does 12 divide f?
True
Let d = 885 + -561. Suppose 347 = 4*f - w - d, -f = 5*w - 173. Does 24 divide f?
True
Let f(o) = 56*o**3 - 2*o**2 + 5*o. Let t be f(-2). Let z = 718 + t. Is z a multiple of 18?
True
Let z = 21057 + -19968. Is z a multiple of 14?
False
Let x be -1 - -4 - -4*4/16. Suppose -10 = 2*y, -18 = -3*c - x*y + 235. Is 13 a factor of c?
True
Suppose 8177 = 4*g - 3*k, -1174 = -g + 4*k + 880. Let d = g + -1407. Is 8 a factor of d?
False
Suppose 4*j - 5*j + 3*l = -8, 2 = -2*l. Suppose 2959 = 5*o + 3*s - 1099, j*o - 4086 = 4*s. Is 20 a factor of o?
False
Let d(o) = 441*o - 20. Let w be d(-3). Let k = -857 - w. Is k a multiple of 14?
False
Let v = 14775 - -2704. Is v a multiple of 26?
False
Let r = -781 - -1403. Let y = r - 382. Is 12 a factor of y?
True
Let q = -139 - -141. Suppose 0 = -3*z - y + 3217, -q*z - y = -2184 + 38. Is 20 a factor of z?
False
Suppose b + 680 = 9*b. Does 15 divide b?
False
Let t = 4 - -1. Suppose 28 = 3*g + s, t*s - 54 = -3*g - 10. Suppose 4*n = 28 + g. Is 2 a factor of n?
False
Suppose 3*j = -22*x + 19*x + 9378, 5*j = 3*x - 9410. Is x a multiple of 12?
False
Does 9 divide 1249 + 7 + 24 + -21?
False
Let n be (4 + (-7)/2)*0 - 1. Is 21 a factor of 26800/75 - n/(-3)?
True
Suppose 4*m - 3*o + 209 = 0, -6*m + 55 = -7*m - 2*o. Let x = m + 179. Is 18 a factor of x?
True
Suppose 0 = -4*w + 4*n - 44, 8*w + 2*n = 4*w - 74. Let j = w - -20. Is 10 a factor of 46/j + -2 - (-14)/28?
True
Suppose 2*t - 4*p + 1256 = 0, 0 = p - 4. Let d be t/6*(-84)/(-70). Let o = -49 - d. Does 11 divide o?
False
Suppose -p = -2*u + 2*p + 12, -4*p = 0. Let c(i) = -i**3 + 7*i**2 - 8*i + 14. Let t be c(u). Is (-840)/(-45) - t/(-6) a multiple of 16?
False
Suppose 59032 + 102547 = 24*z + 33563. Is 127 a factor of z?
True
Suppose 0 = -27*s + 22*s - i + 23, -4*i = -4*s + 4. Suppose -5*a + 8 = -2. Suppose p = -a*x - s*p + 191, -4*x + 422 = 2*p. Does 9 divide x?
True
Suppose -580 = 4*s - x, -3*s + 2*s - 156 = -3*x. Suppose 0 = -p - 3*p + 1008. Let i = p + s. Is i a multiple of 6?
True
Let b(w) = 3*w**3 + 3*w**2 - w - 5. Suppose c = -3*z + 14, 22*c = 2*z + 24*c - 8. Does 8 divide b(z)?
True
Does 11 divide (192/160)/((-9)/(-33410)) - 1/(-3)?
True
Suppose -1280*z = -1264*z - 9584. Does 3 divide z?
False
Let q be (-6)/5*10/(-6) - 1. Let r be (4*-2*4/(-32))/q. Suppose -4*l + 8 = 0, -4*o - 3*l + r = -341. Is o a multiple of 14?
True
Let o(q) = 4 - 3*q + 5 - 15. Let r be o(-3). Suppose d + 52 = 2*d + l, -4*d = r*l - 207. Does 13 divide d?
False
Suppose 2*o + 2*o - 11452 = -2*f, 5*o + 30 = 0. Does 19 divide f?
True
Let m be (0 + 16/10)/((-4)/(-40)). Suppose 4*p + 0*p - m = 3*a, 0 = 2*p + 2*a - 22. Let c(n) = 18*n + 6. Does 25 divide c(p)?
False
Suppose -4*g + 4*l + 446 = 70, 0 = -4*g - 3*l + 341. Suppose j - g = 14. Is j a multiple of 3?
False
Suppose 5*d - 19 - 21 = 0. Suppose 721 = -v + d*v. Suppose -3*t - 85 = 4*z - 511, -z + t + v = 0. Is z a multiple of 15?
True
Let w(c) = 419*c**2 - 25*c + 79. Is 41 a factor of w(4)?
True
Let i be 3/((4/10)/((-2)/(-5))). Suppose 0 = h + 4*h - 5*q - 1535, -i*h + 929 = 5*q. Does 11 divide h?
True
Let g(m) = 32*m - 20. Suppose -j + 5*j - 236 = 0. Let w = -54 + j. Is 22 a factor of g(w)?
False
Suppose -2*o = 0, -6*o + 5*o + 815 = 3*u - 25. Does 7 divide u?
True
Suppose 5*t - 811 = 3*g, 468 = 5*t + 2*g - 358. Suppose 3496 = t*i - 156*i. Does 20 divide i?
False
Let z = 5 - -43. Suppose c - 78 - z = 0. Is 7 a factor of c?
True
Suppose 4 + 20 = h. Let g be 78/h - (-3)/(-12)*1. Suppose 3*v - 406 = -3*w - 13, -g*v + 2*w = -373. Is v a multiple of 33?
False
Suppose 4*h = -3*c + 24910, c - 15425 = -2*h - 2971. Is h a multiple of 38?
False
Let p(t) = -t - 1. Let w(r) = -63*r - 8. Let m(c) = 2*p(c) - w(c). Let g = 3529 + -3525. Does 25 divide m(g)?
True
Suppose 235 = 5*v + 75. Let n = v - 28. Is 9/1 + n + (-5)/5 a multiple of 2?
True
Suppose 0 = 101*q - 4967 + 791 + 237. Is 2 a factor of q?
False
Let y(d) be the second derivative of -d**5/10 + 7*d**4/2 - 13*d**3/3 + 79*d**2/2 - d + 12. Is y(20) a multiple of 38?
False
Let z be 53/(-5) - (-2)/(-5). Let f(h) = h**2 - h + 12. Let s(x) = 4*x**2 - 3*x + 36. Let a(t) = z*f(t) + 4*s(t). Is 13 a factor of a(5)?
False
Let m(u) = 40*u**3 - 251*u**2 - 25*u - 4. Is 27 a factor of m(8)?
True
Suppose -101 = -2*q + 199. Suppose 281*k + 5406 = 26145 - 507. Let x = q - k. Does 3 divide x?
True
Is (-1)/(4/18)*-4*19344/288 a multiple of 13?
True
Suppose -5*y - 5*v - 13 = -2*y, 2*v + 10 = 0. Suppose 3*f = -5*i + 537, -f = y*f - 2*i - 895. Suppose -21 = 2*d - f. Does 9 divide d?
False
Let j(p) = p**3 + 45*p**2 - 50*p - 176. Let m be j(-46). Does 16 divide 12/16*m + 1*276?
False
Suppose 4*p + 53 = 49. Is (50*p)/(6/(-150)) a multiple of 55?
False
Let z = 176 + 5314. Is z a multiple of 30?
True
Let z be (-160 + 161)*(-2 - -1 - -8). Is 74 a factor of (-387)/(-903) - (-12394)/z?
False
Is -2*1/(-4)*(-1 - (-6 + -3487)) a multiple of 6?
True
Let w(n) = n - 2. Let s(d) = d**2 - 3*d + 26. Let b(a) = s(a) + 3*w(a). Is 28 a factor of b(-6)?
True
Let r(n) = 6*n**3 + 6*n**2 - 45*n + 264. Does 9 divide r(8)?
False
Let d(g) = 2*g**2 + 18*g + 44. Let v be d(-3). Does 29 divide 145*v/(-1)*1/(-5)?
True
Suppose 0 = 10*z - 11889 - 14691. Suppose -17*u + 23*u - z = 0. Does 22 divide u?
False
Suppose 5*i - 8736 = 3624. Is i a multiple of 81?
False
Suppose 4*p = -3*d - 1325, 0 = -2*d + 6 - 4. Let x = 429 - p. Is 14 a factor of x?
False
Suppose -d + 650 + 115 + 688 = 0. Is d a multiple of 11?
False
Suppose 3*y = -62 + 50. Let q(m) = -m**3 - m**2 + 13*m + 6. Let a be q(y). Suppose a*n = 4 + 36. Is 5 a factor of n?
True
Let n(b) = b**3 - 4*b**2 - 2*b + 3. Let j be n(6). Suppose 2*o = 11*o - j. Does 7 divide o?
True
Let i = 8120 + 1823. Does 95 divide i?
False
Let k be (-60)/(111/228*2 - 1). Suppose 3*c = 18*c - k. Is c a multiple of 38?
True
Let c(v) be the third derivative of 11*v**4/24 - 5*v**3/6 - 2*v**2 - 5*v. Is 46 a factor of c(9)?
False
Let w(f) = -f**2 - 17*f - 42. Let h be w(-15). Does 12 divide ((-224)/h)/((-29)/(-9) + -3)?
True
Let q = 51 - 49. Suppose 2*k + k - 1080 = -3*l, -4*l + q*k = -1464. Does 13 divide l?
True
Let a(k) = -k**2 - 27*k - 110. Let s be a(-20). Suppose s*
|
{
"pile_set_name": "DM Mathematics"
}
|
. Solve o + 4 = -3*w for w.
-2
Let y be 9/(-15) - (-190)/25. Solve 3 + y = -2*l for l.
-5
Let x be (-8)/(-44) + (291/33 - 5). Solve x*b + 7 - 27 = 0 for b.
5
Let w = 162 - 160. Solve -y = 4 - w for y.
-2
Suppose 0*p = -p + 12*p. Suppose 0 = -4*f - 5*q + 168 - 46, 0 = -2*f + 2*q + 52. Suppose -10*n + 6*n + f = p. Solve -2*w = -1 - n for w.
4
Suppose -p - 12 = -4*p. Suppose -6 = -3*o, -14 = 2*f + o - p*o. Let t be f/18 - 4/(-18). Solve t*d = d for d.
0
Let b(w) = 10*w - 293. Let n be b(30). Solve 3 + n = -5*s for s.
-2
Suppose 60 = -23*z + 35*z. Solve z*m - 9 - 6 = 0 for m.
3
Let o(m) = -8*m**2 + m - 1. Let l = -10 - -11. Let x be o(l). Let d(j) = j**3 + 7*j**2 - 8*j + 5. Let p be d(x). Solve p = -2*i - 3 for i.
-4
Let a = 0 + 0. Let o(w) = w + 11. Let s be o(11). Suppose -s*d = -20*d - 8. Solve a = -d*c + c + 12 for c.
4
Let g(p) = -2*p - 34. Let k be g(-18). Solve 3*n - n - k = 0 for n.
1
Suppose 0*j - 15 = -j - 5*y, -j + 2*y - 6 = 0. Suppose j = -5*n + 5 + 5, -h - n = -7. Solve 4*k = -k + h for k.
1
Let o be 2 - (-1)/4*0. Suppose -b = -1 + o. Let y be 6 - -4 - (-2)/b. Solve k - y = -3*k for k.
2
Let k be (-8 - 810/(-6))*1*-1. Let n = k + 129. Let p(o) = o**2 + 6*o - 5. Let u be p(-7). Solve -n = -w + u for w.
4
Suppose 24*p = 10*p + 154. Solve 0 = p*z - 0*z - 11 for z.
1
Let t(g) = -2*g + 2. Let h be t(-2). Suppose j - 27 = -5*r + 2*j, 2*r = -2*j + h. Suppose 0 = 5*v - 6*v + 13. Solve -r*c + 12 = -v for c.
5
Let q be (2/4)/((-13)/(-416)). Suppose -3*z - 4*l = -3 - 2, l + q = 5*z. Solve -3 = -2*m + z for m.
3
Suppose 4*j = 5*y + 4 + 177, 92 = 2*j - 4*y. Solve -39*r + j*r - 5 = 0 for r.
1
Let l = -1 + 3. Suppose -4*b + 2*x + 3*x = -12, -x + 12 = 4*b. Suppose -b*g = 2*y - 11 - l, 0 = g + 4*y - 1. Solve g*d = -4 - 16 for d.
-4
Let h = -1017 - -1019. Solve 43*j + h = 45*j for j.
1
Suppose -3*h + 26 = -4*n, 11 = 4*h + 3*n - 7. Let s(b) = -b - 23. Let l be s(-28). Suppose 4*r + r + 15 = l*f, -2*r = -3*f + h. Solve f*y = 2*y + 8 for y.
-4
Let q be 16/(-10) + 1 + 26/(-65). Let a be 0/((-4)/(4/q)). Solve -2*s + 0 - 6 = a for s.
-3
Suppose -5*r - 28 = 2*r. Let p(y) = y**3 + 2*y**2 - 9*y - 2. Let z be p(r). Suppose -87 = -7*m - 17. Solve z = 3*f - m for f.
4
Suppose -3*s + 265 = -0*s + 5*w, 471 = 5*s + w. Suppose s + 10 = 5*u. Suppose -5*m + u + 54 = 0. Solve 7*a - 4*a = m for a.
5
Let i(b) = -b**2 + 16*b - 17. Let w be i(9). Let a = -44 + w. Solve l - a = 3 for l.
5
Let g = 2866 + -2848. Solve 9*h + g = 15*h for h.
3
Let q be -13 - -9 - (-11*1)/1. Solve 8*v - q*v = 4 for v.
4
Let c(q) = -5*q - 3 + 2*q + 3*q**3 - 5*q**3 - q**2 + 1. Let m be c(-1). Solve -v = -m + 3 for v.
-1
Let w be 0 - ((-27)/36)/((-24)/(-64)). Suppose 2*o + 8 = 4*o. Solve p - o = -w for p.
2
Let z(i) = -i**2 + 5 + 12*i + 3 - 20 + 3. Let a be z(11). Solve -a*k + 0*k = 0 for k.
0
Let u(d) = d**2 - 32*d - 263. Let r be u(39). Solve -1 = 11*i + r for i.
-1
Let x(g) = g**2 + 10*g + 5. Suppose 0 = z - 1 - 4, -10 = 3*r + 4*z. Let m be x(r). Solve -4*t - t = -m for t.
1
Suppose -7*n = -9*n + 8. Suppose -5*m + 80 = -3*p + 6*p, -n*m + 4*p = -32. Suppose -5*o - 3*t - 3 = 0, -o + 4*t + 2 = 2*t. Solve -5*r - 12 - m = o for r.
-5
Suppose -106*u - 12 = -112*u. Solve -u*m = -1 - 1 for m.
1
Suppose 9*j - 56 = 7*j - 4*m, 5*j = 2*m + 92. Solve 0 = -356*d + 360*d + j for d.
-5
Suppose 34*g + 74 = 4*y + 32*g, -5*g = -25. Solve -3*a = 6 - y for a.
5
Suppose 55 - 407 = -16*p. Solve -p*u - 20 = -26*u for u.
5
Suppose 0 = 103*p - 98*p - 80. Solve 3*j + j = p for j.
4
Let v = 1 + 7. Suppose -2*y + v = 2*y. Suppose 0*f + y*f = 0. Solve 3*b + 3 = -f*b for b.
-1
Let z(b) = 49*b**2 + 4. Let v be z(-2). Let j be ((-4)/(-5))/(16/v). Solve h = -h - j for h.
-5
Suppose -4*f = 4*s - 20, 2*f - 3*s + 5 = -0. Suppose w = -2*w + f*w. Solve -3*m - 2*m + 20 = w for m.
4
Let c be 7/(28/12)*2. Solve 0 = -3*a + c*a for a.
0
Suppose -4*b - 3*z + 2*z = -145, -130 = -4*b + 2*z. Solve 8*d = d + b for d.
5
Suppose 3*s - 3*y - 114 = 0, -3*y + 5 = 17. Suppose 6*h + s = 52. Solve x - 8 = -h for x.
5
Suppose 4*w - 59 = q, -q - 3*q - 210 = -3*w. Let f = -35 - q. Let j(m) = -m**2 + 7*m - 7. Let y be j(5). Solve -y*k + 1 = f for k.
-5
Let h(d) = -d**2 - 8*d - 12. Let k be h(-6). Solve k = 2*j + 10 - 8 for j.
-1
Let y be (-11 + 884/78)/((-1)/(-144)). Solve -32*i - y = 16 for i.
-2
Suppose -18*n + 26*n = 32. Solve 2*h + 14 = n for h.
-5
Let l(q) = 6*q**2 + 35*q - 3. Let o be l(-6). Solve 11*u + o + 30 = 0 for u.
-3
Suppose r + 5 = 6*r - 2*u, 4*r - u = 7. Suppose -2*n + 13 = r*z, 1 + 3 = 5*n - 2*z. Let p be 9 + (-2)/(n/(-3)). Solve -5*b + p = -b for b.
3
Suppose 4*x - 7 - 41 = n, 0 = x - 3*n - 12. Let p = x - -3. Solve p = -v + 4*v for v.
5
Let x = 437 - 402. Solve -j - 32 = -x for j.
3
Let j(u) = -3*u**2 - 10*u - 31. Let w(q) = -2*q**2 - 5*q - 16. Let f(a) = -3*j(a) + 5*w(a). Let l be f(6). Solve 22 - l = 5*x for x.
3
Suppose 6 = 26*w + 6. Solve 4*x - 17*x = w for x.
0
Let f(o) = -o**2 + 3*o. Let r be f(4). Let n = 8 + r. Suppose 11*k + 32*k - 516 = 0. Solve -n*q + q + k = 0 for q.
4
Let w(l) = 2*l**2 + 14*l - 28. Let t be w(-9). Solve 8 = t*j - 24 for j.
4
Suppose -5*i + 6*s = 11*s - 20, 6 = 2*i + 4*s. Solve 11 = i*w + 6 for w.
1
Suppose 5*n = 5*h - 185, -4*h - 3*n = 2*n - 184. Let o = h - 22. Suppose -5*f = -o - 6. Solve -6*m - 2 = -f*m for m.
-2
Suppose -5*q + 5 = 0, -3*g + 4*q = 5*q + 155. Let y be g/(-10) - 13/65. Solve -y*i = 10 + 5 for i.
-3
Let u(r) be the first derivative of 7*r**2/2 - 4*r - 11. Let n be u(1). Solve 0 = n*i - 2*i for i.
0
Let v = -13 - -15. Suppose 0 = v*b - 4*b + 4. Let g(x) = -x**2 - 6*x + 8. Let c be g(-7). Solve -b*l = -c + 5 for l.
-2
Suppose -w + 4*c = -4*w + 23, w - 3*c = -1. Suppose -4*r + 2*o - 1 = -3*r, -w*r + 2*o = -11. Solve r*a = 4*a + 4 for a.
-4
Let f = -40 - -40. Suppose 5*a + f = 5. Solve -y + 1 = -a for y.
2
Let b be 2/28 - 65/910. Solve b = -3*h + 2 - 8 for h.
-2
Suppose -4*v + v - g = 323, 5*g = 4*v + 437. Let q = v - -108. Solve q = -n - n for n.
0
Suppose -2*m = 2*p - 3*p + 3, -5*p + 4*m + 33 = 0. Suppose -p*d = -8*d - 16. Solve -y = 3*y + d for y.
-4
Let p be 6/18 - (-16)/6. Let u be ((-6)/3)/(p/(-6)). Suppose 7*b = u*n + 4*b - 86, 5*b + 10 = 0. Solve 8*x = 3*x + n for x.
4
Suppose 3*k + 4*d + 68 = k, -106 = 4*k + 2*d. Let p be 18/k - (-14)/8. Solve -2*z + 9 = p for z.
4
Suppose -u = -4 + 1. Let o(y) = -y + 6. Let w(n) = -6*n + 42. Let v(q) = -15*o(q) + 2*w(q). Let m be v(u). Solve m*c = -0 - 3 for c.
-1
Let r(o) be the third derivative of -o**5/60 + o**4/6 + o**3/2 + 2*o**2. Let c be r(4). Solve -3*a + 3 + c = 0 for a.
2
Let q(c) = c**3 - c**2 + 2*c - 3. Let s be q(2). Suppose -35 = 4*p - s*p. Suppose -16 = -4*j - 2*a, -5*j + 3*a + p = -2*a. Solve -4*k - k + j = 0 for k.
1
Suppose 15*u - 126 = 13*u + z, -3*u + 178 = 4*z. Let k = u + -62. Solve -5*o - 5 = -k for o.
-1
Suppose 71*r - 77*r + 96 = 0. Solve 4*t + r = -0*t for t.
-4
Let q = 27 + -24. Suppose 17 = 2*u - q. Solve u*f - 5*f = -5 for f.
-1
Let o = -6 - 1. Let v be o/(-2) + (-8)/16. Solve -v - 1 = -j for j.
4
Suppose 0 = -2*b - 3*d + 34, -8*d - 60 = -5*b - 3*d. Solve 0 = 3*q + 14 - b for q.
0
Let f be (-14)/(-6)*(-1728)/(-336). Solve f = -11*r + 5*r for r.
-2
Suppose 50 = 12*b - 22. Solve 0*l = -b*l + 30 for l.
5
Suppose -4221 = -17*s - 1110. Solve -28*l + 43 = s for l.
-5
Let y = 247 + -230. Solve -19*x + y*x = 0 for x.
0
Let r be ((-6)/(-33) - 0) + (-9180)/(-330). Solve 27*k - r*k = -3 for k.
3
Let y(b) = b - 14. Let p be y(11). Let k be 4/6 + (-4)/p. Solve -k*o - 20 = 3*o for o.
-4
Suppose 0 = 7645*p - 7677*p + 96. Let u(d) = -d + 9. Let x = 10 + -2. Let c be u(x). Solve -f = p - c for f.
-2
Suppose 5*k = 3*h + 25, -2*h - 2 = 8. Suppose 3*m - 4*i - 10 = i, 4*m - i = k. Solve -8 = 2*u - m for u.
-4
Suppose 12*l = 40 + 44. Solve -12 + l = m for m.
-5
Suppose 8*r - 115 = 445. Let f = r + -45. Solve f = 4*h + h for h.
5
Suppose 0 = -3*z + r, 161*r - 34 = -5*z + 157*r. Suppose -36 = -4*w - 12. Solve -4 = w*a - z*a for a.
-1
Suppose -63 = 4*f + 2*h - 81, -5*f + 5*h = 0. Solve -8*k - 5*k = -f*k for k.
0
Let q = 28 + -24. Suppose q*a - 20 - 16 = -4*m, -4*a + 12 = 0. Solve 0 = -3*i - 9 - m for i.
-5
Let r be 2/(1/(-3)*1). Let z be (-4 - 0)*r/12. Let d be (-2)/z + (-16)/(-4). Solve -5 = 2*x - d*x for x.
5
Let p = -20 + 22. Let j be p/(-6)
|
{
"pile_set_name": "DM Mathematics"
}
|
-2/9, 5, 12?
12
What is the second smallest value in 2, -0.2, -0.4, 1/10, -1?
-0.4
What is the smallest value in 5, 16, -5?
-5
Which is the smallest value? (a) 2/31 (b) -4 (c) -6
c
Which is the biggest value? (a) 2 (b) -0.1 (c) -2/5 (d) -2/17
a
What is the biggest value in -51, 220, 5?
220
What is the second biggest value in -7, 15, 6, 0.5, 2/15?
6
What is the second smallest value in 47, -3, 0.2, -0.3, 0.5?
-0.3
What is the smallest value in 5.7, -0.5, -1?
-1
Which is the biggest value? (a) 4 (b) 0.15 (c) 0.5
a
Which is the second biggest value? (a) -8/5 (b) 1/5 (c) 1/3 (d) 0.5
c
Which is the biggest value? (a) 9 (b) -0.5 (c) -7/10 (d) 0.5
a
Which is the biggest value? (a) -9 (b) -0.5 (c) 0.2 (d) 3/8 (e) -0.1
d
Which is the second smallest value? (a) 0.5 (b) -5/2 (c) 11 (d) -6 (e) -3
e
Which is the fourth smallest value? (a) -1.5 (b) 1/4 (c) -0.3 (d) 9 (e) -3
b
Which is the third biggest value? (a) 2/3 (b) 0.5 (c) -1/15 (d) 0
d
What is the biggest value in 5, -2/9, -84.8?
5
Which is the fourth smallest value? (a) -4 (b) -1/5 (c) 4 (d) -1
c
Which is the biggest value? (a) 2.66 (b) -0.3 (c) 3/2 (d) -2
a
What is the fourth biggest value in -1/3, 0.27, -5, -0.09?
-5
Which is the second smallest value? (a) 5 (b) -2 (c) -0.4 (d) 0.1
c
What is the second smallest value in 1/3, -10, -2, 0, 4?
-2
Which is the second smallest value? (a) -0.1 (b) -20/17 (c) -0.3
c
Which is the second biggest value? (a) 0.5 (b) 5/4 (c) 1.5
b
Which is the fourth biggest value? (a) -0.8 (b) 4 (c) -2/9 (d) -4
d
Which is the second biggest value? (a) -4 (b) -0.5 (c) -58/5 (d) -1/15
b
What is the second biggest value in 1.1, -24, -0.19?
-0.19
Which is the second biggest value? (a) 1.3 (b) -2 (c) 1/4
c
What is the third biggest value in 5, 30/7, -0.061?
-0.061
What is the fourth smallest value in 4/3, -0.3, 2, -13?
2
Which is the biggest value? (a) 2/13 (b) 1.877 (c) -4
b
What is the biggest value in -3/11, 0.4, -17?
0.4
What is the second biggest value in -3.2, -9, -2?
-3.2
What is the second smallest value in 2/137, -2, 5, 8?
2/137
What is the second biggest value in -13/2, 2/13, 368?
2/13
Which is the fourth biggest value? (a) 0.02 (b) -2/7 (c) -13 (d) 1/2
c
What is the biggest value in 2/143, 2, -5?
2
Which is the second smallest value? (a) -14 (b) -0.2 (c) 12/11 (d) 2
b
Which is the third biggest value? (a) -2/11 (b) 4/7 (c) -2/1725
a
What is the second biggest value in 2/11, -0.5, -4?
-0.5
What is the smallest value in -2, 1/5, 34?
-2
What is the second biggest value in 0, 36, 3?
3
What is the second smallest value in -19, -276/13, -2?
-19
What is the second smallest value in 1.04, 1/3, 1, -0.1, 2/5?
1/3
Which is the biggest value? (a) 5 (b) -0.2 (c) -8 (d) -3/7
a
Which is the second biggest value? (a) 7 (b) -0.03 (c) -7
b
Which is the biggest value? (a) 19 (b) 3 (c) 0.1
a
What is the biggest value in -1, 0, 7, -7?
7
What is the third biggest value in -0.5, 0.1, -45?
-45
Which is the fifth biggest value? (a) 3/7 (b) -0.6 (c) 5 (d) 0.1 (e) -0.4
b
What is the third smallest value in -10/3, 2/5, -5?
2/5
Which is the second smallest value? (a) 4/3 (b) 4/7 (c) 11
a
Which is the fourth smallest value? (a) -0.2 (b) 1 (c) 3 (d) 0.2
c
What is the fourth smallest value in -5, 76, -4, 0.7, -2/13?
0.7
Which is the second biggest value? (a) -74 (b) -3 (c) -4/3 (d) 1
c
What is the second biggest value in -0.2, 9/8, 3.5?
9/8
Which is the fourth biggest value? (a) -0.3 (b) 8/3 (c) 1/7 (d) 2/5 (e) -3
a
What is the fourth smallest value in -3, -1, -1/25, 9?
9
Which is the fifth biggest value? (a) -4 (b) 5 (c) -1/20 (d) 1/7 (e) 7.3
a
Which is the second biggest value? (a) 5/2 (b) -0.03 (c) -1/5 (d) 4
a
What is the third smallest value in 1, -0.2, 4, -11?
1
Which is the second smallest value? (a) -65 (b) 1/5 (c) -2/5 (d) 4
c
What is the smallest value in -0.32, -2, 1/4, 2?
-2
Which is the third biggest value? (a) 12 (b) 0.1 (c) -13.3 (d) -4/3
d
What is the third biggest value in 4, 3/299, -5, 5?
3/299
What is the fourth biggest value in -0.31, 0.1, 2, -0.1?
-0.31
What is the third smallest value in 0, 140, 5?
140
What is the smallest value in 3, 0.5, 1/12?
1/12
What is the smallest value in 2/5, 5, -2.7, 2?
-2.7
Which is the fourth smallest value? (a) -173 (b) 1 (c) -4 (d) 0.3
b
Which is the second smallest value? (a) 38 (b) 1/5 (c) -0.1
b
What is the smallest value in -2/7, 5, 83?
-2/7
What is the smallest value in 0.4, 5, 5/7, -35.6?
-35.6
What is the second biggest value in -1, -7, 3.605, -5/4?
-1
Which is the biggest value? (a) -0.0246 (b) -5 (c) -1/4
a
What is the smallest value in -0.7, 2/9, -0.1, 2/23?
-0.7
Which is the fourth smallest value? (a) -18 (b) 0.1 (c) 0 (d) 1 (e) -2/5
b
What is the second biggest value in 3/2, -2/5, 0.138?
0.138
What is the fourth biggest value in -20, 2/5, -0.2, 5?
-20
What is the smallest value in -2, 0, 1, 0.2?
-2
What is the smallest value in 1, -2/7, -8, -2, 0?
-8
What is the third smallest value in 4/5, -0.16, 1?
1
What is the second biggest value in 6/11, -12, 0.3, -0.9?
0.3
Which is the third biggest value? (a) -0.1017 (b) -3 (c) -2/11
b
Which is the second biggest value? (a) -1/3 (b) 0 (c) -9 (d) 2/9
b
Which is the second biggest value? (a) 1/4 (b) -5/4 (c) 5 (d) 11/29
d
What is the third biggest value in 1, -4, -0.01, 2/3, -2/23?
-0.01
Which is the second smallest value? (a) -3 (b) -4 (c) -15 (d) 19
b
Which is the second smallest value? (a) 3 (b) -2/21 (c) -15 (d) -0.1
d
Which is the second smallest value? (a) 0 (b) -1/9 (c) -3 (d) 0.254 (e) 1
b
What is the biggest value in 0.4, -0.5, -572?
0.4
Which is the fourth biggest value? (a) 2 (b) -2/21 (c) -24 (d) -5
c
Which is the smallest value? (a) 0.7 (b) -8 (c) 3 (d) -2/9
b
What is the third smallest value in 3/7, -3/2, 3, -5/3, -1/3?
-1/3
What is the smallest value in -2/7, 3/10, 4?
-2/7
What is the fourth smallest value in 1/5, 7/9, 1, -1?
1
Which is the second smallest value? (a) 10 (b) -4/7 (c) 1 (d) 3/4
d
Which is the fourth smallest value? (a) 0.14 (b) -3 (c) 8 (d) 0.5 (e) 3
e
What is the biggest value in 2/13, 3, -0.4, -122?
3
What is the second smallest value in 0, 3/5, 16?
3/5
Which is the third biggest value? (a) -9 (b) -0.07 (c) -1 (d) 0 (e) -3/5
e
What is the second smallest value in 1/7, 52/5, 2?
2
What is the fourth biggest value in 1/3, 0.06, -20/7, -3, 0?
-20/7
What is the biggest value in 2, -1/2, -1/3, 0.7?
2
What is the fifth smallest value in 15, 5, -0.1, -2/7, -3/7?
15
Which is the fourth biggest value? (a) 3 (b) 0.3 (c) 15 (d) -9/4
d
What is the biggest value in 1/2, 2/7, 366?
366
What is the third biggest value in 0.23, 0.19, 0, 1/2?
0.19
Which is the biggest value? (a) 1/9 (b) 5 (c) -9.2
b
Which is the biggest value? (a) -4 (b) 2/17 (c) -1/5 (d) -85/6
b
What is the biggest value in 0, -31, 2/3?
2/3
Which is the second smallest value? (a) -2/5 (b) -1/2 (c) 23 (d) 1
a
What is the second smallest value in 0.5, 4, 1, 0.2?
0.5
What is the second biggest value in -0.3, 4, -11/27, 0.2?
0.2
What is the smallest value in -0.23, 0, 8/3?
-0.23
What is the biggest value in 25.62, -0.1, -3, 2/11?
25.62
Which is the second smallest value? (a) 3 (b) -1/4 (c) -2
b
Which is the biggest value? (a) -1/4 (b) -5 (c) -1 (d) 149
d
Which is the biggest value? (a) -0.56 (b) -3 (c) -1/4 (d) 0.21
d
What is the third biggest value in -3, -5, 0.033, -4?
-4
What is the third smallest value in 26, -1, -3/5?
26
What is the third smallest value in -0.04, 2, 4/7?
2
Which is the biggest value? (a) 6 (b) 1 (c) -0.2
a
What is the smallest value in -5/3, -24, -7/8?
-24
What is the second biggest value in 3, -7, 18?
3
What is the third smallest value in -1/2, -1, 4?
4
What is the second smallest value in 0.2, -5, -8, 4/5?
-5
Which is the second biggest value? (a) 0.2 (b) -0.28 (c) 3 (d) 2/7
d
What is the smallest value in 2.02, 6/11, -2/5, 2?
-2/5
Which is the third biggest value? (a) 5 (b) 0.6 (c) -1/2 (d) 0.03
d
Which is the third biggest value? (a) -2/11 (b) 0.3 (c) 0.1 (d) -0.2 (e) -21
a
What is the fourth smallest value in -7, 21, 1/7, -0.5?
21
What is the third biggest value
|
{
"pile_set_name": "DM Mathematics"
}
|
f, -2*f - 436 = -4*h. What is the tens digit of h?
1
Let b be 27/6*16/24. Suppose 56 = 2*r - m - 8, -b*r - 3*m + 96 = 0. What is the tens digit of r?
3
Let b(a) = -5 + a**2 + 6 - 8*a + a**2 + 5. Let p be (-2)/(-5 - -3)*5. What is the tens digit of b(p)?
1
Let k(x) = 6 - 3 + 3 - 3 + 2*x. What is the units digit of k(5)?
3
Let f(v) be the first derivative of -v**5/20 - v**4/3 + 2*v**3/3 - 2*v**2 + 3*v + 2. Let l(k) be the first derivative of f(k). What is the units digit of l(-5)?
1
Let c(l) = 3*l**2 + 3*l - 4. Let q = -6 - -3. What is the units digit of c(q)?
4
Suppose -5*u + 83 + 202 = 0. What is the units digit of u?
7
What is the tens digit of 4/(64/12)*188?
4
Suppose 114 = 2*c + 5*h, c - 4*h - 96 = -c. What is the tens digit of c?
5
Let c = -14 + 24. Let v(k) = k**3 - 11*k**2 + 11*k + 6. What is the units digit of v(c)?
6
What is the units digit of ((-2)/(-7))/(3 + (-205)/70)?
4
Suppose 0 = -5*f + 6*s - s - 20, 34 = -4*f - 5*s. Let n(h) = h**3 + 7*h**2 + 3*h + 8. What is the tens digit of n(f)?
2
Let t(r) = 3*r**3 - 4*r**2 - 1. Let z be t(3). Let p = z + 1. Suppose 2*i = 5*v + i - p, -3*i = 15. What is the units digit of v?
8
Suppose 2*b = 100 + 138. What is the tens digit of b?
1
Let j = 12 + 3. What is the units digit of j?
5
Let q(h) = -h**2 - 34*h - 27. What is the hundreds digit of q(-25)?
1
Suppose -5*n + 4*k + 102 = -15, -k - 87 = -4*n. Suppose -4*g - t + n = -0*g, -3*g = t - 16. Let f = -3 + g. What is the units digit of f?
2
Let s(c) = -2*c - 3. Let d be s(-5). Suppose u + 1 = 4. Suppose k = -u*h + d, -4*h + 4 = -8*k + 4*k. What is the units digit of k?
1
Let c = 7 - -1. Suppose 0 = -4*d + c*d - 28. What is the units digit of d?
7
Let r = 23 + -6. What is the units digit of r?
7
Let a(o) be the first derivative of o**2/2 - o + 1. Let n be -1 + 9 + (-2 - -3). What is the units digit of a(n)?
8
Suppose -c - 4*c + 560 = 0. What is the tens digit of c?
1
Suppose 5*b = -0*b + 105. What is the units digit of b?
1
Suppose 0*y = -2*c + 4*y + 22, -4*y = c + 13. Suppose 1 + 5 = c*u. What is the units digit of 2 + (8/1)/u?
6
Let d(q) = 1 - 2*q + 12 - 2*q + 1. Let t be d(10). Let b = t + 37. What is the tens digit of b?
1
Let n be 0/2 - -2 - 3. Let f(y) = -10*y**3 - y**2 - y - 1. What is the units digit of f(n)?
9
Let u(m) = -2*m**2 - 40*m - 1. What is the tens digit of u(-19)?
3
Let p = 74 + -42. What is the units digit of 12*2*24/p?
8
Let u be 1 - (35 + 1*-2). Suppose -o - 5 = -0*o. What is the units digit of (-4)/10 + u/o?
6
Let a be 514/14 + (-6)/(-21). Let p = a - 25. What is the units digit of p?
2
Suppose -23 - 41 = -o. What is the tens digit of o?
6
Let d(o) = -o**3 + 8*o**2 + o + 11. Let k(g) = -2*g**3 - g**2 + g - 2. Let u be k(-2). What is the units digit of d(u)?
9
Let v(q) = -3*q**3 - 2*q**2 - 3*q. Let j = -4 - -2. What is the units digit of v(j)?
2
Let v = 104 - 59. What is the units digit of v?
5
Let b be 130/(-39)*15/(-2). Suppose 11 + b = w. What is the tens digit of w?
3
Let b(a) = -a**3 - 3*a**2 - 3*a. Let n be b(-2). Suppose f + 36 = n*f. Suppose -4*v - 10 + f = -2*y, -4*y + 2 = v. What is the units digit of v?
6
Let o = -13 + -2. What is the units digit of (-57)/(-5) + 6/o?
1
Suppose 0 = -p + 3*f + 5, -2*p - 2*f + 20 = 2*f. Let i(a) = a - 2. What is the units digit of i(p)?
6
Suppose 55 = 2*w + 3*i, 2*i + 8 = -w + 33. What is the units digit of w?
5
Let v(k) = -k**3 + 9*k**2 - 10*k + 7. Let o be v(6). Suppose 6*l - o = l. Suppose l + 1 = 2*s. What is the units digit of s?
6
Let c(k) be the second derivative of k**5/60 - k**4/8 + k**3 + k**2 - k. Let g(s) be the first derivative of c(s). What is the tens digit of g(4)?
1
What is the units digit of 1/((180/(-182) - 2) + 3)?
1
Let p = 57 + -40. Let i = p - 7. What is the units digit of i?
0
Let a(o) = 62*o + 1. What is the units digit of a(1)?
3
Let c = -17 + 24. Let h = c - -14. What is the tens digit of h?
2
Suppose 4*j + 3*u = -1 + 4, -2*j + 4*u = 26. Let y be (j - -1)*(0 - 1). What is the units digit of (-126)/(-15) - y/5?
8
Let c(s) = -s**2 + 24*s + 21. What is the units digit of c(19)?
6
Let c(b) = -2*b**3 - 3*b**2 - b - 2. What is the units digit of c(-2)?
4
Suppose -2*k + 62 = -v, 0*v - 2*k + 224 = -4*v. Let d = v + 103. What is the tens digit of d?
4
Suppose -c = k + 3*c - 99, 5*k - 3*c - 449 = 0. What is the units digit of k?
1
Suppose 6*r = 3*r + 291. What is the tens digit of r?
9
Suppose 20*t = 23*t - 36. What is the units digit of t?
2
Let u(j) = 15*j + 8. Let l(d) = -d. Let i(f) = -6*l(f) - u(f). What is the tens digit of i(-4)?
2
What is the units digit of ((-54)/5)/((-16)/40)?
7
Suppose -c = -4*c - 81. What is the units digit of c/(-3 - 0) - 3?
6
Let n(r) = r**2 - 5*r + 6. Let s be n(5). Let h be (-12)/((-9)/s - 0). Suppose -60 = -h*t + 4*t. What is the units digit of t?
5
What is the units digit of (-142)/(-4) + (-4)/8?
5
Suppose -83 = -2*p + 3. What is the tens digit of p?
4
Let u be (6/12)/(1/6). Suppose 0 = -0*b + u*b + 15. What is the units digit of (0 - 8)/(b + 3)?
4
Let p be (-2)/(-10) - 435/(-75). Let k be (6/4)/((-2)/(-4)). Suppose k*r = -p + 18. What is the units digit of r?
4
Let k(v) = -15*v**3 + v**2 - v - 1. Let a(i) = -i**3 + 5*i**2 - 3*i - 2. Let u be a(4). Let t be (2 + -3)/(-1) - u. What is the units digit of k(t)?
6
Let l = -220 - -372. What is the hundreds digit of l?
1
Let q(h) = -h**3 + 6*h**2 - 5*h + 5. Let z be q(5). Suppose 3*b + z*f - 7 = 0, 0 = -5*b + b + 2*f - 8. What is the units digit of 3 + b/(2/4)?
1
Let u(v) = -v**3 + 6*v**2 + v - 5. Let a be u(6). Let s = 5 - a. Suppose 4*j - s = -0. What is the units digit of j?
1
Let p(m) = 33*m + 4. What is the units digit of p(2)?
0
Let s = -7 - -5. Let a be 5/(-3 + s + 4). Let y = 15 + a. What is the tens digit of y?
1
Suppose -2*b - 3*c = -22, 5*b - 4*c - 36 = 19. What is the units digit of b?
1
Let x = -93 - -48. Let w = -24 - x. What is the tens digit of w?
2
Let q(u) = -5*u**2 - 3*u. Let h = 7 - 9. Let j be q(h). Let p = -5 - j. What is the units digit of p?
9
Suppose 149 + 286 = 5*f. Suppose 4*v + f = 7*v. Suppose -v - 15 = -4*w. What is the units digit of w?
1
Let o(s) = s + 8. Let c be o(-6). Suppose 3*t = 6, -2*t + 8 = 2*i - 10. Let a = i - c. What is the units digit of a?
5
Let x = 7 + -5. What is the units digit of 55/45 - x/9?
1
Let t(m) = 9*m - 39. What is the units digit of t(19)?
2
What is the tens digit of (-2)/((-6)/(-13))*-3?
1
Let m = 37 - -14. Let b(k) = 26*k - 2. Let r be b(3). Suppose -2*a + x + m = 12, 3*a - 5*x - r = 0. What is the units digit of a?
7
Let y(p) be the first derivative of -p**2 + 6*p - 9. What is the units digit of y(0)?
6
Suppose -2*t + 335 + 87 = 0. What is the tens digit of t?
1
Let y(b) = -3*b - 4. Let q be y(-4). Let l(a) = a**2 + 6*a - 5. Let k be l(-5). What is the units digit of (5/k)/((-2)/q)?
2
Suppose 2*a - 4*a - 16 = 0. Let u(b) = b**2 + 7*b. What is the units digit of u(a)?
8
Let s = 60 - 28. What is the tens digit of s?
3
Suppose 0 = 3*u - 15, k = -2*k + 3*u + 21. What is the units digit of k/10*30/4?
9
What is the units digit of (-40)/(-100) + 473/5?
5
Suppose 5 = -l + 2, 5*q + 2*l = -46. Let m = q - -11. What is the units digit of m?
3
What is the units digit of (-836)/(-30) - (-6)/45?
8
Suppose -7*t - 155 = -12*t. Suppose -5*r = 3*u - 47 - 2, 0 = -5*r + 3*u + t. What is the units digit of r?
8
Let x = 25 + -10. What is the tens digit of (-66)/(-4)*10/x?
1
Let i = -169 + 337. What is the tens digit of i?
6
Let f(z) = -z**3 - 3*z**2 + 4*z + 4. Let l be f(-4). Suppose l*m - 82 = 2. What is the units digit of m?
1
Let c = 13 - 8. Suppose 2*v - c*v + 114 = 0. What is the units digit of v?
8
Suppose -3*x + 1 = 4*s, x - 2 = 2*s + 5. Suppose -16 - 2 = -x*t. Let j(p) = p**2 - 6*p + 3. What is the units digit of j(t)?
3
Let d = -53 + 119. What is the tens digit of d?
6
Suppose 0 = z - 4*f - 64 - 65, -2*z = f - 249. What is the tens digit of z?
2
Suppose -4*q = -2*q + 66. Let y = 60 + q. What is the units digit of y?
7
Let j(g) = -g - 2. Let r be j(0). Let k(m) = -m + 4 - 2 + 0. What is the units digit of k(r)?
4
Let u(x) = -x**2 + 7*x. Let v(s) = -s**2 + s. Let i(m) = -u(m) + 2*v(m). What is the units digit of i(-4)?
4
Suppose 0 = -3*y + 4*y. Suppose 11 = 4*w + 3*p - y*p, -p = -2*w + 13. Suppose w*b - 13 = 4*m, 2*b - 5*b + 3 = -4*m. What
|
{
"pile_set_name": "DM Mathematics"
}
|
ich is the third biggest value? (a) 2 (b) -6 (c) -5.354
b
What is the biggest value in -3, 2/3565, 0?
2/3565
Which is the smallest value? (a) 20 (b) 3 (c) 10
b
Which is the smallest value? (a) -2 (b) 0.04 (c) -0.1772
a
Which is the biggest value? (a) 6 (b) -1/6 (c) 0.01032
a
What is the second smallest value in 241, 9, -1, -0.03, -2?
-1
What is the second smallest value in 3/5, -636, 3, 2/7, -6, -2?
-6
Which is the fifth smallest value? (a) 0.8 (b) 1/5 (c) 5 (d) -0.1 (e) 0.3 (f) 109/31
f
What is the fourth smallest value in 58, 1/7, 0.1, 7, -21?
7
What is the third biggest value in -18, 11, -79, 3/8, -4/5?
-4/5
Which is the sixth biggest value? (a) -0.5 (b) -15 (c) -2 (d) -4 (e) 3/8 (f) -2/49
b
What is the sixth biggest value in -1, 2, -5, -0.2, 0.5, 1/32?
-5
What is the third biggest value in -2/15, -12794, 0.4, 8/7?
-2/15
What is the second smallest value in -2.6, 1/5, -0.19, -4?
-2.6
What is the biggest value in 395, -15/4, 0?
395
Which is the smallest value? (a) 0.4 (b) 1840.23 (c) 1/2
a
What is the fourth smallest value in -2, 2, -24/7, -1/4, -6, -9?
-2
What is the third biggest value in -2, 8/5, 3, -2/5, -0.05945?
-0.05945
What is the third smallest value in 2327, 1/5, 1, 3, 0.3?
1
What is the second biggest value in -0.0221, -3/8, -0.31, 3, 0.5?
0.5
Which is the biggest value? (a) 10 (b) 0.5155 (c) -3/7
a
What is the fourth smallest value in 691, 0.1, -10, 1/4, -1?
1/4
What is the biggest value in -0.2, 0.279, 5, 1?
5
What is the sixth smallest value in 4/5, -50, -5, 3/2, 2/17, 0?
3/2
What is the sixth biggest value in 0.4, 4, 9, -0.03, 0.2, 1/2?
-0.03
Which is the second smallest value? (a) -1/6 (b) 0.2 (c) 0.6 (d) -0.1 (e) -0.127
e
What is the second biggest value in 5, 131, 5/7?
5
Which is the third biggest value? (a) -2/3 (b) 17 (c) -0.1 (d) -5 (e) -3.6
a
What is the fifth smallest value in -0.085, 5, -0.3, 2, -16?
5
What is the smallest value in 44, 2/5, 1/4, -432?
-432
What is the fourth biggest value in -81, 467, 1, -3/4?
-81
Which is the biggest value? (a) 1 (b) 0.5 (c) 1/112 (d) 3/4
a
Which is the second biggest value? (a) 2 (b) 0 (c) -0.22 (d) -0.1 (e) 83/7
a
What is the fifth smallest value in -6, 1/3, 1/12, 0.2, 0.6?
0.6
Which is the second smallest value? (a) -1/49 (b) 8 (c) -3
a
What is the biggest value in -3, 1/3, 13, -0.4, -4?
13
What is the second smallest value in 3/4, 5, -0.66, -4, -1/4, 8.1?
-0.66
Which is the biggest value? (a) 417 (b) 4/5 (c) -610
a
What is the fifth smallest value in 4, -3/8, 3/68, 1/4, -5?
4
What is the smallest value in 3, 0, 4, -2/25, 1/3, 7.072?
-2/25
What is the fourth biggest value in 5/4, -1, -0.085, 1/8, 0.5, 2/11?
1/8
What is the second smallest value in 0.4, 14/5, -0.4, 8.9, 0.1, -4?
-0.4
What is the fifth smallest value in 1/4, -1/6, -0.4, -134, -2, -86?
-1/6
Which is the smallest value? (a) 1 (b) -5 (c) 1/4 (d) -14
d
What is the smallest value in -34/3, 3, -20.4, 5?
-20.4
Which is the third biggest value? (a) -0.3 (b) 0.33 (c) -10 (d) 10 (e) 0.5
b
What is the smallest value in -1, -2/9, -0.2, 0.07, 20?
-1
What is the biggest value in -822, -0.052, -1?
-0.052
What is the second smallest value in 2, -0.4, -9.2, 0.8, 7/2?
-0.4
Which is the second smallest value? (a) -6/5 (b) 3 (c) -4 (d) -0.4
a
Which is the second biggest value? (a) -3/5 (b) -5/4 (c) -41 (d) 15.4
a
Which is the fourth smallest value? (a) -4/5 (b) -2/7 (c) -0.2 (d) 2.1 (e) 0.4 (f) 0.29
f
Which is the second biggest value? (a) 5/3 (b) 0 (c) -83
b
What is the biggest value in 20/7, -5, 27.8, 5, -1?
27.8
What is the biggest value in 1/5, -1/26, -308?
1/5
What is the fifth smallest value in 6, 0.03, 1/8, 201, -5/4?
201
Which is the smallest value? (a) 2/7 (b) -1 (c) 1/3 (d) 110/9
b
Which is the biggest value? (a) 2/3517 (b) 25 (c) 0.1
b
What is the biggest value in 0, 333, -10, -5?
333
Which is the third biggest value? (a) -27 (b) -5 (c) 5 (d) -0.26 (e) -2
e
What is the third smallest value in 5, -1/4, -17084, -0.4, 4/7?
-1/4
Which is the third biggest value? (a) 0.00573 (b) 0.1 (c) 5 (d) 1.2
b
Which is the fifth biggest value? (a) -2 (b) 0.3 (c) 3/121 (d) 0 (e) 5/6 (f) 0.5
d
What is the second smallest value in 2, -1/3, 1/8, 42?
1/8
What is the second smallest value in 5, 2/9, -73, 11?
2/9
Which is the second biggest value? (a) 0 (b) 3 (c) -2 (d) 0.5 (e) -813.4
d
What is the fourth smallest value in -2, 1, -3/4, -3.49, 2, 1/139?
1/139
Which is the third biggest value? (a) -0.5 (b) 1 (c) 1/8 (d) 0 (e) -2/119 (f) -2
d
Which is the biggest value? (a) 2/17 (b) -5 (c) -1 (d) -4 (e) 1 (f) 0.077
e
Which is the smallest value? (a) -0.2 (b) 31 (c) -10819
c
What is the third smallest value in -2, 10, -544?
10
What is the third biggest value in -1/21, -4, 4, -0.06, 1?
-1/21
What is the fourth smallest value in 1, 1/5, 0.8, 0, -24?
0.8
Which is the second smallest value? (a) -33.8 (b) 368 (c) -0.1
c
What is the third biggest value in -0.18, -189, -1/3, 9?
-1/3
What is the smallest value in 0.4, -7, 344, -4/13?
-7
Which is the third biggest value? (a) -0.1 (b) -3 (c) 0.4 (d) -1765/4
b
Which is the smallest value? (a) -25 (b) 15 (c) 21 (d) 0.5 (e) 4
a
Which is the fifth smallest value? (a) 0.02 (b) 3 (c) -0.3 (d) -0.174 (e) -0.5 (f) 8
b
What is the fifth smallest value in -0.4, -48, -24, -2/43, 3?
3
Which is the biggest value? (a) -0.5 (b) -1 (c) -901 (d) 0.14 (e) -1/4
d
Which is the fifth biggest value? (a) -5 (b) 0.3 (c) 22 (d) 1 (e) 5/2 (f) 0.115
f
What is the third smallest value in -8869, 2, -0.001?
2
What is the third biggest value in 38/27, 5, 12, 6, -4?
5
What is the biggest value in 42.4, -1.22, -40?
42.4
What is the fourth smallest value in 4/5, 5, -0.8, 1.91?
5
Which is the third smallest value? (a) 5 (b) 2 (c) 0.18 (d) -0.3 (e) -65 (f) 4
c
Which is the fourth biggest value? (a) -0.3 (b) 43 (c) 4 (d) -5 (e) -16/7 (f) 0.2
a
Which is the second biggest value? (a) -32 (b) -17 (c) 6.5
b
Which is the second smallest value? (a) 0 (b) 144 (c) 0.3 (d) 5/3
c
What is the smallest value in 116/7, -0.1, 0.01542, 2?
-0.1
Which is the third smallest value? (a) 2/13 (b) -74 (c) 10/3
c
Which is the fourth biggest value? (a) 0.1 (b) -1/2 (c) -1 (d) -2/3 (e) 531/2
d
What is the third biggest value in -2/61, -24, -0.2, -0.271?
-0.271
What is the second biggest value in 18, 18012/7, 4?
18
What is the third smallest value in -536/7, -0.1, -4, 1/4?
-0.1
Which is the third smallest value? (a) -4/19 (b) 1 (c) 0.3 (d) -2 (e) 4 (f) 11
c
What is the second biggest value in 7/4, 0.1, 3, 0.276, -4?
7/4
Which is the smallest value? (a) 0.4 (b) -4 (c) 2017 (d) -0.2
b
Which is the third biggest value? (a) -24 (b) -0.12 (c) -3 (d) 3 (e) 2/3
b
What is the biggest value in 0.091, 1/2095, -0.2?
0.091
What is the third smallest value in 1/4, 0.07, 0.6, 1/3?
1/3
What is the second biggest value in 1/4, -262/7, 0, 2/5, 1/7?
1/4
What is the second smallest value in -104/9, 2, -0.39, 0?
-0.39
What is the third biggest value in -12, 2/3, -3, -3.3?
-3.3
What is the third smallest value in 12.9, 0.4, -1.39, -0.1?
0.4
What is the biggest value in 2.1, -2/9, 22, -8?
22
Which is the third smallest value? (a) 4 (b) 0.1 (c) 2/65 (d) 17/4
a
Which is the fourth biggest value? (a) 5 (b) 3 (c) 847 (d) -4 (e) -1/5
e
Which is the third biggest value? (a) -4/3 (b) -1 (c) -5 (d) 24/5 (e) -41/31
e
Which is the second biggest value? (a) 1/4 (b) 4/19 (c) 5/4 (d) -90 (e) -3
a
Which is the second smallest value? (a) 0.1 (b) 17 (c) 12/41 (d) -5
a
Which is the smallest value? (a) 1 (b) -84 (c) 0.3 (d) 1/13 (e) -18
b
What is the third biggest value in 73, -60, 3?
-60
Which is the second smallest value? (a) -49.63 (b) -9 (c) -3
b
What is the third biggest value in -1, 1/5, -2/7, 5455?
-2/7
What is the fifth biggest value in -85/7, -3, -0.3, -0.275, -0.5?
-85/7
Which is the third smallest value? (a) 5/2 (b) 8/3 (c) 0.01 (d) 2/17
a
What is the fourth biggest value in 0.5, -3, 0.088, -2217, -2/5?
-3
What is the third smallest value in -7, 19, 2/359?
19
What is the fifth biggest value in 3/38, 1/5, 1/4, 0.5, -364/3?
-364/3
What is the second biggest value in 2, 645,
|
{
"pile_set_name": "DM Mathematics"
}
|
**4
Let b(z) = -z. Suppose 3*r = -0*r + 3. Let d be (-20)/(-5) + -3 + 1. Let i(y) = -y**2 - 1. Let u(s) = 6*s**2 + 2. Let t(k) = d*i(k) + r*u(k). Give t(b(x)).
4*x**2
Let c(l) = -285*l - 75. Let y(p) = 15*p + 4. Let r(z) = -4*c(z) - 75*y(z). Let h(g) = 2*g. Calculate r(h(d)).
30*d
Let y(i) = 3*i**2. Let b(v) = -5*v - 6. Suppose 24 = -2*r - 2*r. Let d(c) = 9*c + 11. Let k(g) = r*d(g) - 11*b(g). Calculate y(k(m)).
3*m**2
Let r be 2/(-3) + (-22)/(-6). Let f(g) = -6*g**2 + 3*g - 3*g + r*g**2. Let d(x) = 2*x. What is d(f(c))?
-6*c**2
Let t(h) be the third derivative of h**5/30 - 7*h**2. Let n(s) = 11*s**2. Calculate t(n(w)).
242*w**4
Let u(w) = w. Suppose -5*c = -8*c. Let s(h) be the second derivative of -h + 1/3*h**3 + c*h**2 + 0. What is s(u(j))?
2*j
Let b(h) = -h. Let c(d) be the third derivative of 5*d**4/6 - 3*d**2. What is b(c(a))?
-20*a
Let p(h) = -3*h. Let v(i) = 92*i**2. Calculate p(v(w)).
-276*w**2
Let h(a) be the third derivative of a**5/10 - a**2. Let t(q) be the third derivative of q**4/24 + 90*q**2. Give t(h(o)).
6*o**2
Let o(d) = 5*d**2 - 73. Let s(v) = 4*v. Give o(s(k)).
80*k**2 - 73
Let l(j) = -2*j. Let n(o) be the first derivative of 5*o**3/6 - 4*o - 2. Let h(a) be the first derivative of n(a). What is h(l(w))?
-10*w
Let s(y) = -y**2 + y + 1. Let q(u) = -5*u**2 + 6*u + 6. Let k(d) = q(d) - 6*s(d). Let v(l) = l**2 + 2 + 1 - 3. Determine k(v(o)).
o**4
Let a(s) = -s**2. Let b(p) = -134*p. Determine a(b(z)).
-17956*z**2
Let b(o) = o**2. Let g(r) = -1763*r. Calculate b(g(u)).
3108169*u**2
Let d(i) be the first derivative of -i**5/120 - i**3 - 4. Let m(c) be the third derivative of d(c). Let y(t) = -4*t**2. Determine m(y(o)).
4*o**2
Let s(f) = 0*f - 3*f + f + 0*f. Let r(k) be the second derivative of 0 + 1/3*k**3 + k + 0*k**2. Give s(r(q)).
-4*q
Let b(d) = -3*d. Suppose -4*l - 100 = -9*l. Let v(i) = 20 - i - l. Determine v(b(k)).
3*k
Let o(w) be the third derivative of 13*w**5/60 - 6*w**2. Let z(k) = k**2. Determine o(z(a)).
13*a**4
Let w(u) = -2*u. Let y = -59 - -179/3. Let f(d) be the second derivative of 0 + 2*d + 0*d**2 - y*d**3. What is w(f(k))?
8*k
Let u(y) = 9*y**2 - 4. Let d(s) = -9*s**2. Calculate d(u(k)).
-729*k**4 + 648*k**2 - 144
Let k(g) = -5710*g. Let p(y) = y. What is p(k(r))?
-5710*r
Let d(c) = -5*c. Let k = 14 - 10. Suppose -6*m + 8*m = k. Let h(l) = 2*l - m*l + 2*l - 4*l. What is d(h(g))?
10*g
Let p(d) = 13*d**2 + 7*d. Let i be (-4)/14 + (-76)/28. Let l(t) = 6*t**2 + 3*t. Let f(w) = i*p(w) + 7*l(w). Let r(h) = h**2. Determine f(r(j)).
3*j**4
Let b(d) = -13*d + 10*d + 6*d. Let m(w) = -8*w. Calculate m(b(y)).
-24*y
Let f(y) = -2*y**2. Let d(n) = n**2 + 423. Determine d(f(l)).
4*l**4 + 423
Let z(j) = -3*j. Let d(k) = -3*k. Let c(r) = -2*d(r) + 3*z(r). Let a(u) = 0 + 3*u - u + 0. Give c(a(s)).
-6*s
Let y(d) = d. Let m(j) = 2*j**2 + 2*j. Let b(g) = m(g) - 2*y(g). Let x(w) = -25*w. Calculate x(b(p)).
-50*p**2
Let r(l) = -25*l**2. Let t(m) = 24*m**2. Calculate r(t(j)).
-14400*j**4
Let o(b) = 18*b**2. Let c(r) = -4*r**2. Calculate c(o(y)).
-1296*y**4
Let m(q) = -16*q**2. Let c(j) = 2*j - 35. What is c(m(l))?
-32*l**2 - 35
Let o(z) = 11*z. Let c(u) = -u**2. Determine c(o(q)).
-121*q**2
Let q(r) = -4*r**2. Let k(g) = 14*g**2 + 5*g - 5. Let l(x) = -42*x**2 - 14*x + 14. Let w(u) = -14*k(u) - 5*l(u). What is q(w(v))?
-784*v**4
Let m(b) be the third derivative of b**5/30 + 20*b**2. Let d(j) = 20*j**2. Give m(d(p)).
800*p**4
Let d(g) = 14*g**2 - 2. Let q(u) = -14*u**2 + 3. Let v(t) = -3*d(t) - 2*q(t). Let h(l) = -l**2. What is v(h(r))?
-14*r**4
Suppose 0 = -2*j + 6*j - 8. Let y = j - 2. Let z(w) = 4*w + y*w - w. Let g(a) = -a**2. Calculate g(z(s)).
-9*s**2
Let v(y) = -72*y. Let i(n) = 2*n. Give i(v(m)).
-144*m
Let z(l) = l**2. Let p be (7 - 2) + (-12)/4. Let m(h) = -p*h**2 + 7*h**2 - 2*h**2. Give m(z(w)).
3*w**4
Let u(c) = 10*c - 2. Let t(h) = 0*h**2 - h**2 + 2130 - 2130. What is t(u(w))?
-100*w**2 + 40*w - 4
Let j(m) = 4*m - 62. Let p(w) = 2*w. Give p(j(o)).
8*o - 124
Let v(a) = 3*a. Let n(s) = 520 - 520 + 2*s. Determine v(n(q)).
6*q
Let j(y) = -3*y**2. Let s(o) = -5*o**2 - 2*o + 1. Let a(h) = -h**2 - 2*h + 1. Let i(d) = 6*a(d) - 6*s(d). Give i(j(r)).
216*r**4
Let m be (2/(-6))/((-9)/54). Let f(x) = 3*x + x - m*x. Let a(t) = -6*t**2. What is f(a(u))?
-12*u**2
Let w(s) = 29*s. Let a(b) = -6*b - b + 8*b + 0*b. Determine a(w(p)).
29*p
Let z(l) = -3*l**2. Let u(c) = -6*c**2. Let s(f) = -2*u(f) + 5*z(f). Let i(v) = -3*v. Determine i(s(t)).
9*t**2
Let j(t) be the third derivative of t**4/2 - 79*t**2. Let g(x) be the first derivative of -x**3/3 + 1. Give j(g(i)).
-12*i**2
Let b(c) = -6*c**2. Let p(w) = -3*w**2 - 2. Let r(a) = -10*a**2 - 7. Suppose 3*y - 8*y = 105. Let z(k) = y*p(k) + 6*r(k). Give z(b(n)).
108*n**4
Let n be -1 + 0 - -2 - (-19)/(-19). Let o(w) be the second derivative of 0*w**2 + n + 1/3*w**3 + w. Let c(z) = 6*z**2. Give c(o(d)).
24*d**2
Let w(c) be the second derivative of -c**4/6 - 20*c. Let a(r) = 7*r**2. Calculate w(a(m)).
-98*m**4
Let t(r) = -5*r + 6. Let x(n) = 30*n**2. What is x(t(l))?
750*l**2 - 1800*l + 1080
Let k(n) = 8*n**2. Let y(w) be the first derivative of w**3/3 - 12. Give y(k(v)).
64*v**4
Let h(i) = -2*i**2. Let f(q) = -22*q - 2. Let a(y) = 87*y + 9. Let v(b) = -2*a(b) - 9*f(b). What is h(v(g))?
-1152*g**2
Let r(j) be the third derivative of -j**4/24 - j**2. Let g = 4 + -4. Let b(z) = g - 1 + 1 - 2*z. What is b(r(t))?
2*t
Let c(m) be the second derivative of m**3/3 + m. Let d(v) = 3*v - 2. Let i(p) = -21*p + 15. Let z(l) = -15*d(l) - 2*i(l). Give c(z(a)).
-6*a
Let q(c) = 29*c**2. Let z(a) = 3*a**2. Give q(z(x)).
261*x**4
Let d(a) = -4*a**2. Let c(q) = 684*q. Give d(c(h)).
-1871424*h**2
Let d(m) = m**2 + 2*m. Let y(b) = -b - 2 + 2. Let x(z) = -d(z) - 2*y(z). Let n(c) = -c. Determine n(x(s)).
s**2
Let d(l) = -2*l**2. Let x(f) = 6*f**2 - 4*f**2 + 0*f**2 - 5*f**2. What is d(x(z))?
-18*z**4
Let u(t) = 2*t**2. Let f(s) = -12*s**2 + 3*s**2 + 14*s**2 + 42*s**2. Calculate f(u(k)).
188*k**4
Let w(q) = -2*q**2. Let i(f) be the first derivative of -3*f**3 + f**2/2 - 24. Determine w(i(o)).
-162*o**4 + 36*o**3 - 2*o**2
Let i(z) = -2*z. Let y(n) = -4*n**2 - 69*n - 10. Give y(i(o)).
-16*o**2 + 138*o - 10
Let x(g) = 25*g**2. Let l(w) = -5*w**2 - 2*w**2 + 2*w**2. Calculate l(x(b)).
-3125*b**4
Let i(c) = 4*c**2. Let s(f) = -11*f**2 + 119. Give i(s(p)).
484*p**4 - 10472*p**2 + 56644
Let p(t) = -14*t - 14*t + 11*t - 11*t. Let k(n) = -n**2. What is p(k(y))?
28*y**2
Let d(p) = 28*p**2. Let w(n) = -2*n**2. Calculate w(d(j)).
-1568*j**4
Let r(x) = -6*x**2. Let m(u) be the third derivative of -u**8/10080 + u**5/60 + u**2. Let h(v) be the third derivative of m(v). Determine r(h(z)).
-24*z**4
Let y be (0 - 2/2) + 1. Let q(n) = y*n**2 + 0*n**2 + n**2 + 0*n**2. Let t(i) = -4*i. Calculate q(t(g)).
16*g**2
Let k(p) = 34*p**2. Let j(b) = -57*b**2 + 2*b. Give j(k(a)).
-65892*a**4 + 68*a**2
Let x(l) = 5*l. Let k(b) = -7*b**2 + 6*b + 6. Let n(a) = 3 - 3 - 1 + 0*a**2 - a + a**2. Let p(s) = -k(s) - 6*n(s). Calculate x(p(i)).
5*i**2
Let a(n) = -277 - 3*n + 277 + 2*n. Let r(t) = -14*t. What is r(a(i))?
14*i
Let r(u) = -u. Let y(n) = 5*n - 5*n + 3*n. Calculate r(y(q)).
-3*q
Let z(t) = -12*t. Let j(p) = -16*p. Calculate j(z(o)).
192*o
Let y(k) = 1783*k**2. Let r(g) = -2*g. Determine r(y(v)).
-3566*v**2
Let u(f) = -8*f**2. Let x(o) be the second derivative of -o**3/6 + 2*o. Determine x(u(p)).
8*p**2
Let a(f) be the first derivative of 3*f**2/2 + 18*f + 50. Let r(k) = 2*k. Calculate r(a(c)).
6*c + 36
Let q(c) = 4*c**2 + 20*c**2 - 11*c**2. Let z(h) = h - 4*h + h. Determine q(z(m)).
52*m**2
Let g(p) be the second derivative of 0*p**2 - 1/6*p**4 + 0 - p + 0*p**3. Let i(r) be the third derivative of r**5/20 + r**2. Give g(i(x)).
-18*x**4
Let r(w) = 1449*w**2. Let q(d) = 2*d**2. Determine r(q(k)).
5796*k**4
Let h(x) = 10179*x - 2. Let r(j) = 2*j**2. Determine h(r(c)).
20358*c**2 - 2
Let o(k) = -2*k**2 + 163*k. Let h(n) = n. What is h(o(v))?
-2*v**2 + 163*v
Let p(n) = 28*n - 30*n - 4 + 4*n**2 + 2. Let b(a) = 39*a**2 - 21*a - 21. Let v(o) = -2*b(o) + 21*p(o). Let x(y) = -3*y**2. Determine x(v(j)).
-108*j**4
Let p(m) = -10*m + 12. Let c(w) = -4*w + 5. Let h(o) = 12*c(o) - 5*p(o). Let y(k) = k**2 - k**2 - 3*k**2. Calculate h(y(i)).
-6*i**2
Let h(f) = 7*f*
|
{
"pile_set_name": "DM Mathematics"
}
|
emainder when 20411049 is divided by 4366?
4365
What is the remainder when 287625521 is divided by 5?
1
What is the remainder when 95831778 is divided by 6610?
6608
What is the remainder when 281602 is divided by 56224?
482
What is the remainder when 319350 is divided by 250?
100
Calculate the remainder when 35506608 is divided by 789035.
33
Calculate the remainder when 454222 is divided by 32444.
6
What is the remainder when 206451 is divided by 18766?
25
What is the remainder when 64523727 is divided by 22?
15
Calculate the remainder when 10029788 is divided by 2292.
2288
What is the remainder when 3186545 is divided by 27952?
17
What is the remainder when 338331858 is divided by 628?
626
Calculate the remainder when 9004612 is divided by 1158.
4
What is the remainder when 171825 is divided by 12269?
59
What is the remainder when 65531 is divided by 12900?
1031
What is the remainder when 246641768 is divided by 613?
605
Calculate the remainder when 349019 is divided by 57988.
1091
Calculate the remainder when 1982995 is divided by 548.
331
Calculate the remainder when 69018 is divided by 9834.
180
What is the remainder when 207466 is divided by 713?
696
What is the remainder when 92573 is divided by 29012?
5537
What is the remainder when 47947 is divided by 9559?
152
What is the remainder when 4693869 is divided by 173846?
27
What is the remainder when 16174840 is divided by 175?
115
What is the remainder when 175521 is divided by 82592?
10337
Calculate the remainder when 66630 is divided by 335.
300
What is the remainder when 21420954 is divided by 24?
18
What is the remainder when 12252325 is divided by 1166?
1163
Calculate the remainder when 6167052 is divided by 228398.
306
Calculate the remainder when 11424924 is divided by 336027.
6
Calculate the remainder when 4251448 is divided by 188.
16
Calculate the remainder when 5795242 is divided by 156.
154
What is the remainder when 3121427 is divided by 74?
33
What is the remainder when 4323627 is divided by 20886?
225
Calculate the remainder when 4955986 is divided by 3214.
3212
What is the remainder when 3007395 is divided by 97012?
23
Calculate the remainder when 56375672 is divided by 441.
437
Calculate the remainder when 162694 is divided by 161893.
801
Calculate the remainder when 2493776 is divided by 2021.
1883
What is the remainder when 570493 is divided by 40734?
217
Calculate the remainder when 408525 is divided by 31217.
2704
What is the remainder when 167697 is divided by 1029?
999
What is the remainder when 527990 is divided by 1333?
122
What is the remainder when 288707038 is divided by 7935?
7933
What is the remainder when 867497 is divided by 320?
297
What is the remainder when 938870 is divided by 78235?
50
What is the remainder when 112687279 is divided by 5?
4
What is the remainder when 442289 is divided by 348?
329
What is the remainder when 338116 is divided by 168817?
482
Calculate the remainder when 2954575 is divided by 638.
635
Calculate the remainder when 493202 is divided by 98626.
72
Calculate the remainder when 2386866 is divided by 99446.
162
What is the remainder when 1235578 is divided by 904?
714
Calculate the remainder when 140929 is divided by 233.
197
What is the remainder when 987549 is divided by 4?
1
Calculate the remainder when 45016 is divided by 1135.
751
Calculate the remainder when 102993 is divided by 12620.
2033
What is the remainder when 883238 is divided by 80?
38
Calculate the remainder when 301437 is divided by 150545.
347
Calculate the remainder when 45674830 is divided by 2214.
10
What is the remainder when 2015234 is divided by 118543?
3
Calculate the remainder when 18105737 is divided by 3908.
3881
What is the remainder when 674475 is divided by 39659?
272
Calculate the remainder when 76645102 is divided by 19161274.
6
Calculate the remainder when 19979041 is divided by 269987.
3
Calculate the remainder when 1091258 is divided by 944.
938
What is the remainder when 110783 is divided by 7904?
127
What is the remainder when 14765418 is divided by 372?
366
What is the remainder when 232752 is divided by 10?
2
What is the remainder when 532270 is divided by 76028?
74
What is the remainder when 8664 is divided by 6066?
2598
Calculate the remainder when 68789198 is divided by 3620484.
2
Calculate the remainder when 1926765 is divided by 642202.
159
What is the remainder when 4069885 is divided by 7538?
6903
What is the remainder when 98424831 is divided by 544?
543
What is the remainder when 165117 is divided by 377?
368
Calculate the remainder when 26776154 is divided by 3347018.
10
Calculate the remainder when 8720 is divided by 2322.
1754
What is the remainder when 215077609 is divided by 35846267?
7
Calculate the remainder when 545139259 is divided by 19.
18
What is the remainder when 13173057 is divided by 2162?
2153
Calculate the remainder when 1384540 is divided by 494.
352
What is the remainder when 15085254 is divided by 17007?
45
What is the remainder when 270606 is divided by 201?
60
What is the remainder when 330264076 is divided by 430?
426
Calculate the remainder when 1127645 is divided by 6407.
13
What is the remainder when 111851964 is divided by 2270?
2254
What is the remainder when 7328745 is divided by 41?
36
What is the remainder when 206337129 is divided by 2527?
2525
What is the remainder when 7614765 is divided by 1061?
1029
What is the remainder when 39885837 is divided by 394909?
28
Calculate the remainder when 4101070 is divided by 555.
175
Calculate the remainder when 26300937 is divided by 443.
27
Calculate the remainder when 407217 is divided by 58172.
13
Calculate the remainder when 657451 is divided by 1944.
379
Calculate the remainder when 115272 is divided by 2.
0
Calculate the remainder when 76584148 is divided by 316.
284
Calculate the remainder when 7760067 is divided by 4470.
147
What is the remainder when 102339237 is divided by 158175?
12
Calculate the remainder when 5376054 is divided by 362.
354
What is the remainder when 3287321 is divided by 362?
361
Calculate the remainder when 505081 is divided by 1205.
186
Calculate the remainder when 36185 is divided by 742.
569
What is the remainder when 250436085 is divided by 63?
60
Calculate the remainder when 1417720 is divided by 354.
304
What is the remainder when 1074934 is divided by 179152?
22
Calculate the remainder when 4007801 is divided by 572414.
903
What is the remainder when 35117 is divided by 17280?
557
Calculate the remainder when 264329 is divided by 1413.
98
Calculate the remainder when 1255978 is divided by 1855.
143
Calculate the remainder when 9628967 is divided by 1865.
1837
Calculate the remainder when 253395 is divided by 13308.
543
Calculate the remainder when 418283108 is divided by 6062074.
2
Calculate the remainder when 5811860 is divided by 968.
956
Calculate the remainder when 4255156 is divided by 425.
56
Calculate the remainder when 129853 is divided by 380.
273
Calculate the remainder when 121940353 is divided by 2594474.
75
Calculate the remainder when 1011536 is divided by 7073.
97
Calculate the remainder when 47058 is divided by 3442.
2312
Calculate the remainder when 3737493 is divided by 2382.
135
What is the remainder when 1896990 is divided by 1896916?
74
What is the remainder when 2974438 is divided by 1487168?
102
What is the remainder when 13850 is divided by 3129?
1334
Calculate the remainder when 2917202 is divided by 265199.
13
What is the remainder when 14218315 is divided by 568732?
15
What is the remainder when 76458 is divided by 19095?
78
Calculate the remainder when 669072 is divided by 669031.
41
What is the remainder when 963993244 is divided by 230?
224
Calculate the remainder when 29158246 is divided by 447.
436
Calculate the remainder when 2965094 is divided by 52019.
11
What is the remainder when 26299803 is divided by 6345?
6123
What is the remainder when 40773088 is divided by 397?
394
Calculate the remainder when 335474 is divided by 1843.
48
What is the remainder when 2863764 is divided by 1029?
57
What is the remainder when 899083 is divided by 1407?
10
What is the remainder when 14068037 is divided by 8?
5
What is the remainder when 237150 is divided by 23700?
150
What is the remainder when 3
|
{
"pile_set_name": "DM Mathematics"
}
|
12 = -0*w - 3*r. Let f = 583 - 424. Calculate the highest common divisor of f and w.
3
Let m(z) = 2*z**3 - z**3 - 6*z - 18*z**2 + 7*z + 71 + 12*z. Let c be m(17). Let p = -8 + 23. Calculate the greatest common divisor of c and p.
3
Let g be (8 - -21) + 7 - 16. Suppose -33*a = -32*a - 1340. What is the greatest common factor of a and g?
20
Suppose -v = -3*n - 5199, v - 5852 + 632 = -4*n. What is the greatest common divisor of 12 and v?
12
Suppose u + 9*u = -2*u + 1512. What is the greatest common divisor of u and 700?
14
Let v = -2 - 0. Let f be (-1 - 13)*(v - -1). Suppose 0 = -1530*w + 1515*w + 1680. Calculate the greatest common factor of w and f.
14
Let h be ((-4)/3)/(-4)*(60 - -18). What is the greatest common factor of 12805 and h?
13
Let q = -5358 - -5573. What is the greatest common factor of q and 3569?
43
Let u be (9/(-4))/(((-73)/219)/((-596)/(-9))). Calculate the highest common factor of u and 6.
3
Let u be (-1)/(1/154) + (82 - 83). Let f = 171 + u. Calculate the greatest common divisor of 144 and f.
16
Let v be 11*((-2)/2)/(-1). Suppose -60 = -5*c - 5*n, -4*c + 4*n - 18 = -5*c. Suppose c*i = v*i - 19. What is the greatest common divisor of i and 152?
19
Suppose -g + 61 = -327. Suppose 3*d = 5*m + 1664, 14*d = 17*d - 4*m - 1660. Suppose -3*k + g + d = 0. What is the highest common divisor of k and 39?
39
Let j be ((45/9*1 - 0) + 5470)/1. What is the greatest common factor of 200 and j?
25
Let x be -2 + 5 + -5 + -321 + 1. Let g = x - -341. What is the greatest common divisor of g and 475?
19
Suppose 4*b = -4*x + 6800, -4*x = 15*b - 10*b - 6798. What is the highest common divisor of x and 115?
23
Suppose -3*o - 9 + 12 = 0. Let m(x) = 12*x**3 + 2*x**2 - 2*x + 1. Let w be m(o). Calculate the highest common divisor of 234 and w.
13
Let v(f) = -f + 8. Let a be v(6). Suppose -a*h = -13 - 41. What is the highest common divisor of h and 117?
9
Suppose 90 = 12*b - 42. Let p be 2/((-3 + 1)*-1). Let k = b - p. What is the greatest common divisor of k and 10?
10
Let w = -126 + 246. Let n(f) = -19*f**2 + f - 1. Let a be n(1). Let y(h) = -h**2 - 20*h - 4. Let t be y(a). Calculate the highest common factor of w and t.
15
Let z = -400 - -405. Suppose -15*p + 12*p = -5*c - 34, -69 = -z*p - 4*c. Calculate the greatest common divisor of 13 and p.
13
Let o(t) = 1 - t**2 + 11*t**3 + 5*t - 9*t**3 - 4*t. Let x be o(2). Suppose -x = -4*c + 381. Calculate the greatest common factor of c and 9.
9
Let t be (-359800)/(-14) - (3 + -5)*-2. Calculate the greatest common divisor of t and 44.
44
Let q be (3127040/5235)/(4/6). Let b be (3 + -1)/(6/21). What is the greatest common factor of q and b?
7
Let r(j) = 5*j**2 - 22*j - 32. Let c be r(6). Let f be 56/(-6)*-36*1. What is the highest common factor of f and c?
16
Let v(g) = -33*g + 113. Let h be v(11). Let n = h + 384. Calculate the highest common factor of 201 and n.
67
Let j(y) = -2*y**3 + 30*y**2 - 22*y - 37. Let c be j(14). Calculate the greatest common factor of c and 2021.
47
Let a = -326 + 357. Let x = 5 + -2. Suppose 4*g - a + x = 0. Calculate the greatest common factor of g and 56.
7
Let q = -22752 + 22754. What is the greatest common divisor of 140 and q?
2
Suppose 66*t = 91*t - 1725. Calculate the greatest common divisor of t and 4209.
69
Let b(q) = -6*q + 2. Let i be b(-3). Suppose -5*m + 195 = 2*x, -m + i + 19 = 4*x. Let v be (6 - (3 - -2))*65. Calculate the greatest common divisor of m and v.
13
Suppose -18 = -2*k - 6. Suppose g + 232 = 5*b + 38, -2*b - 3*g = -81. Calculate the highest common factor of k and b.
3
Let f(k) = 6*k**2 + 2*k - 17. Let z be f(-5). Let t = 200 - 159. What is the highest common factor of z and t?
41
Let c = 1308 - -378. Suppose -47*m - c = -49*m. Suppose 5*d - 828 = 4*g, -5*d + 4*g + m = 5*g. Calculate the highest common factor of 21 and d.
21
Suppose 0 = -3*j + 3*d + 24, 3*d + 52 = 4*j + 4*d. What is the highest common factor of 1348 and j?
4
Let p be 2*-3 + 29 + -8. Suppose 0 = -5*d + 5*z + 290, -d = -4*z + p - 85. What is the greatest common factor of 3 and d?
3
Let p be ((-4)/36)/(25/(-1050))*(-36)/(-14). What is the highest common factor of 30 and p?
6
Let p = 221 + -146. Suppose 5914*f = 7047*f - 220935. Calculate the highest common divisor of f and p.
15
Suppose 10*j - 456 - 14 = 0. Suppose 0 = -9*n + 34 + j. What is the highest common factor of n and 63?
9
Let w be (-7848)/(-132) - 6 - 6/(-11). Calculate the greatest common divisor of 1506 and w.
6
Let z = 9028 - 8923. What is the highest common divisor of 6075 and z?
15
Let h = 5562 - 1898. What is the highest common divisor of 16 and h?
16
Suppose 72*a - 74*a - 3*z = -87, a - 39 = -3*z. Calculate the highest common factor of a and 996.
12
Let f be 3 - (1 - 0) - -72. Let x(k) = -39 + f - k - 43. Let u be x(-11). What is the highest common factor of u and 1?
1
Let c(d) = -d**3 - 43*d**2 + 89*d - 15. Let v be c(-45). Let q = 232 + -197. What is the highest common divisor of v and q?
5
Let s be (-14096)/(-27) - (-32)/(-432). Let t = -852 - -870. Calculate the greatest common divisor of t and s.
18
Let t(w) = -218*w - 223. Let u be t(-11). What is the greatest common divisor of 1914 and u?
87
Let v be ((-284)/(-8) - 1 - 4)*-6. Let z = 191 + v. Calculate the greatest common factor of z and 184.
8
Let o be ((-4)/8 - 0)/(2/36). Let m(n) = n**3 + 10*n**2 + 2*n - 8. Let d be m(o). Suppose -2*l + d = 29. What is the greatest common factor of 91 and l?
13
Let s(g) = 384*g - 1057. Let i be s(35). What is the highest common divisor of 7 and i?
7
Suppose 25*t - 120734 = 70291. Calculate the greatest common divisor of t and 54.
27
Let r(c) = -c**3 + 6*c**2 - 7*c - 31. Let o be r(-3). What is the greatest common factor of o and 2982?
71
Let j = 0 - -8. Let y(h) = 152*h**3 - 5*h**2 + 4*h. Let v be y(1). Suppose -159*f = -v*f - 128. Calculate the highest common divisor of f and j.
8
Let j(b) be the first derivative of -8*b + 2/3*b**3 + 22 + 1/2*b**2. Let h be j(2). Calculate the highest common divisor of h and 20.
2
Let j be 2 - 184/(-13) - (4774/(-403) - -12). Calculate the greatest common factor of j and 5744.
16
Suppose l - 41 - 23 = 0. Let u be 92/6 + 8*(-9)/(-108). Calculate the highest common divisor of u and l.
16
Suppose 191370 - 79667 = 658*c - 145575. Suppose 0*l + l = 17. What is the highest common divisor of c and l?
17
Let q = 400 + -175. Let t = -22 - 3. Let c = 0 - t. Calculate the greatest common divisor of q and c.
25
Let c(k) = -k**3 + 34*k**2 - 205*k - 63. Let a be c(26). Suppose -2*j - 3*j - 105 = -5*l, 0 = 2*j - 6. Calculate the greatest common divisor of a and l.
3
Let u = 246 - 231. Let k be u + 1/((-5)/(-15)). What is the greatest common divisor of 6 and k?
6
Let x = -2204 + 2519. Calculate the highest common divisor of x and 2730.
105
Let o be (323 - 216/18) + -26. Calculate the highest common factor of 6365 and o.
95
Suppose 21519337 = 566*a + 6887671. Calculate the greatest common factor of 21 and a.
21
Let r be ((-9)/5)/((-8824)/880 - -10). Let k = 252 - r. Calculate the highest common divisor of k and 93.
93
Let f(n) = 55*n**2 + 19*n + 16. Let x be f(-8). Suppose 38*z = x + 6192. Calculate the greatest common divisor of 36 and z.
36
Suppose 2*s - 265 = -3*a, 0 = -4*a + 5*s + 504 - 143. Suppose g + 2*x = -2*g + a, g = x + 38. Calculate the highest common factor of 297 and g.
33
Let k be (102/170)/((-1124)/(-1120) + -1). Calculate the highest common divisor of 441 and k.
21
Let y = -2986 - -2996. Calculate the highest common divisor of y and 18.
2
Suppose -2*m = 2 - 10. Suppose -4*t + 3*t = f - 4, -m*t + 3*f = -16. Suppose t*c - 66 = 94. What is the greatest common factor of c and 5?
5
Let j(a) = 19*a + 297. Let l be j(-8). What is the greatest common divisor of 44515 and l?
145
Suppose 22*i + 20*i = -26*i + 1768. Calculate the highest common divisor of i and 10.
2
Let l be -2 + (2 - -6) + -6. Suppose 20*a - 11862 + 342 = l. Calculate the highest common factor of a and 64.
64
Suppose 0 = q - 2 + 4, 0 = -4*g - q + 82. Suppose g = 4*c - 35. Suppose 0 = 12*w - 11*w - 56. Calculate the highest common divisor of c and w.
14
Suppose y + 70 = 3*y. Let h = -6 + y. Suppose 4*i - 1580 = -304. Calculate the greatest common factor of i and h.
29
Let c be 480/(-14)*(2 - 9). Suppose 24*z = 35 - 227. Let t be 29 + z*
|
{
"pile_set_name": "DM Mathematics"
}
|
371.25 to the nearest 100000.
600000
Round -123597.416 to the nearest 1000.
-124000
What is 472.2037931 rounded to the nearest 10?
470
Round 5334.07247 to the nearest 100.
5300
What is -0.2451713465 rounded to 4 dps?
-0.2452
What is 1176.683429 rounded to the nearest integer?
1177
Round 0.0103499114 to 5 decimal places.
0.01035
What is 0.000181065322 rounded to six dps?
0.000181
Round 0.46806522 to one dp.
0.5
What is 3793.60334 rounded to 0 dps?
3794
What is 0.01992611259 rounded to 4 dps?
0.0199
What is -0.64927598 rounded to 4 decimal places?
-0.6493
What is 13359081.14 rounded to the nearest 10000?
13360000
What is -748660.5644 rounded to the nearest 100000?
-700000
Round -4720254 to the nearest one hundred thousand.
-4700000
Round -386557450 to the nearest one hundred thousand.
-386600000
What is 39603.8177 rounded to zero decimal places?
39604
What is 26.24539685 rounded to the nearest integer?
26
What is -7.20228662 rounded to one dp?
-7.2
What is 0.00700780576 rounded to three decimal places?
0.007
What is -60655594.8 rounded to the nearest 10000?
-60660000
Round -327500.7092 to the nearest 10.
-327500
Round -401076047 to the nearest 10000.
-401080000
What is -35114.2669 rounded to the nearest 100?
-35100
Round -43954.6893 to zero dps.
-43955
Round 5342.001 to the nearest 1000.
5000
What is -22332897.37 rounded to the nearest 100000?
-22300000
What is 11338.29372 rounded to the nearest 1000?
11000
What is -436988.182 rounded to the nearest one thousand?
-437000
Round -1807611.541 to the nearest one million.
-2000000
Round -0.000038132007 to seven decimal places.
-0.0000381
What is -24.535564 rounded to 1 dp?
-24.5
Round 3207127.855 to the nearest 100.
3207100
What is -0.00000276860241 rounded to six dps?
-0.000003
Round -3040579.807 to the nearest 1000000.
-3000000
Round -0.034600057 to four decimal places.
-0.0346
Round 57269.3153 to the nearest 1000.
57000
What is 1042429.19 rounded to the nearest one million?
1000000
Round 266853.249 to the nearest one thousand.
267000
Round -1.2078434 to 2 dps.
-1.21
What is -3497132840 rounded to the nearest 1000000?
-3497000000
What is 36115.47 rounded to zero decimal places?
36115
Round -274369550 to the nearest ten thousand.
-274370000
Round 655.599023 to the nearest 100.
700
Round -240688987.1 to the nearest one hundred thousand.
-240700000
What is -0.00738420892 rounded to seven decimal places?
-0.0073842
Round -293757.0588 to the nearest 10000.
-290000
What is -0.001814455894 rounded to four decimal places?
-0.0018
Round 0.00000283078194 to 6 decimal places.
0.000003
Round -2838.177582 to one dp.
-2838.2
What is 0.002737185918 rounded to 6 decimal places?
0.002737
Round 0.000282118793 to five dps.
0.00028
Round 2.727492 to one dp.
2.7
Round -2071.174012 to one decimal place.
-2071.2
What is 27994.0647 rounded to the nearest 10?
27990
Round -0.00071849196 to 4 dps.
-0.0007
Round -0.0698209393 to 3 decimal places.
-0.07
Round 159.13924256 to three decimal places.
159.139
What is 2.545998836 rounded to three dps?
2.546
Round 0.000100348014 to six dps.
0.0001
Round -13229863.933 to the nearest one million.
-13000000
What is -9997.43409 rounded to the nearest 10?
-10000
What is 0.0273119116 rounded to 5 dps?
0.02731
What is -403003.744 rounded to the nearest ten?
-403000
Round -4.4687105 to three decimal places.
-4.469
Round -2724849.099 to the nearest 100000.
-2700000
Round -92527978000 to the nearest one million.
-92528000000
Round 82418.858 to the nearest ten.
82420
What is -0.00002213902516 rounded to six dps?
-0.000022
Round -0.0476681392 to 6 dps.
-0.047668
What is 27.5595768 rounded to 1 decimal place?
27.6
What is 0.000000360286143 rounded to seven dps?
0.0000004
Round 160657.8466 to the nearest one hundred.
160700
What is -35.5107939 rounded to one decimal place?
-35.5
Round -0.000184895481 to 6 dps.
-0.000185
What is 15659.84139 rounded to 1 decimal place?
15659.8
Round 0.0003105962695 to six decimal places.
0.000311
What is -8818.5227 rounded to the nearest 10?
-8820
What is 303053182 rounded to the nearest one hundred thousand?
303100000
What is 0.000259326107 rounded to 7 decimal places?
0.0002593
Round 1642.825451 to the nearest ten.
1640
Round -508.295848 to 1 dp.
-508.3
What is -375062286.7 rounded to the nearest 1000000?
-375000000
Round 5310465.88 to the nearest 100.
5310500
Round -0.4611403 to three dps.
-0.461
Round -0.00073032146 to seven decimal places.
-0.0007303
What is -115.199865 rounded to the nearest integer?
-115
What is 977.6411822 rounded to the nearest 100?
1000
What is 0.22278884 rounded to four decimal places?
0.2228
What is -2374.75489 rounded to the nearest one thousand?
-2000
What is -889248.96 rounded to the nearest one thousand?
-889000
Round -14819.30585 to the nearest 100.
-14800
Round 76.940229 to two dps.
76.94
What is -603519219 rounded to the nearest 100000?
-603500000
Round -5617923.6 to the nearest 1000.
-5618000
What is -1.2427144 rounded to two dps?
-1.24
What is -0.00000123396272 rounded to seven decimal places?
-0.0000012
What is -0.024049309 rounded to two decimal places?
-0.02
Round 0.000126275274 to seven dps.
0.0001263
Round -60641.426 to the nearest 10000.
-60000
What is -1170780.07 rounded to the nearest 100?
-1170800
Round 1487.178911 to two decimal places.
1487.18
What is 3.7505964203 rounded to 2 decimal places?
3.75
Round -23.23069658 to the nearest integer.
-23
What is 127601.34224 rounded to the nearest ten thousand?
130000
Round 1.852309473 to one dp.
1.9
Round 209774.582 to the nearest 10000.
210000
Round -55046.0907 to the nearest integer.
-55046
What is 0.000680132259 rounded to 7 decimal places?
0.0006801
What is 0.001702676006 rounded to seven decimal places?
0.0017027
Round -142537419 to the nearest 10000.
-142540000
What is 52075792 rounded to the nearest 100000?
52100000
What is 15463138.15 rounded to the nearest ten thousand?
15460000
What is 0.000086093773 rounded to six decimal places?
0.000086
Round 0.0000006174262 to 7 decimal places.
0.0000006
Round 4923.339556 to the nearest 10.
4920
What is -64.5354521 rounded to two decimal places?
-64.54
What is 0.0110163334 rounded to 3 dps?
0.011
Round -742112.19 to the nearest ten thousand.
-740000
Round 0.00231979487 to 3 dps.
0.002
Round 7213787.577 to the nearest one million.
7000000
What is 11.47878072 rounded to 0 decimal places?
11
What is -0.0000000953282246 rounded to 7 decimal places?
-0.0000001
Round -0.001716208998 to 3 dps.
-0.002
Round 5862170410 to the nearest 1000000.
5862000000
What is 423.7398 rounded to the nearest one hundred?
400
What is 6258619.101 rounded to the nearest 1000000?
6000000
Round 181156579.2 to the nearest one thousand.
181157000
Round 0.0221147186 to three dps.
0.022
What is -1133.024369 rounded to the nearest one hundred?
-1100
What is -0.298079889 rounded to three decimal places?
-0.298
What is -0.176937741 rounded to 2 decimal places?
-0.18
What is -668.23598 rounded to one decimal place?
-668.2
Round -107606.178 to the nearest ten thousand.
-110000
Round 0.00013332490702 to six dps.
0.000133
What is -124793.381 rounded to the nearest one hundred?
-124800
Round -58359460 to the nearest 1000000.
-58000000
What is -1364277.284 rounded to the nearest ten thousand?
-1360000
What is -2272.803259 rounded to zero dps?
-2273
What is -0.0423137956 rounded to four decimal places?
-0.0423
Round 4.13516288 to 2 dps.
4.14
Round 202.47409111 to the nearest 10.
200
Round 0.4335388118 to 4 decimal places.
0.4335
What is -6.9318312 rounded to 2 dps?
-6.93
What is 0.00743805337 rounded to 5 decimal places?
0.00744
What is 0.002388921193 rounded to 4 decimal places?
0.0024
Round -0.254077021 to one dp.
-0.3
What is -2007917.91 rounded to the nearest one hundred?
-2007900
Round -8062.209176 to one dp.
-8062.2
Round 196.1067011 to 1 dp.
196.1
What is -8.02363633 rounded to one decimal place?
-8
What is -7754.8102 rounded to the nearest 100?
-7800
What is -18614414583 rounded to the nearest 100000?
-18614400000
What is 0.94611765 rounded to 4 dps?
0.9461
Round -0.000160923849 to 4 dps.
-0.0002
What is 0.05274609407 rounded to three decimal places?
0.053
What is 0.0783201432 rounded to 2 dps?
0.08
Round -79177779.3 to the nearest 1000000.
-79000000
Round 0.05
|
{
"pile_set_name": "DM Mathematics"
}
|
9534, 31026, 46284?
65836
What is the next term in -483641, -1934608, -4352889, -7738484, -12091393, -17411616, -23699153?
-30954004
What is the next term in 7781, 62070, 209381, 496226, 969117, 1674566?
2659085
What is next in 7326, 10797, 14264, 17727, 21186, 24641?
28092
What is next in -2139786, -2139846, -2139906, -2139966, -2140026?
-2140086
What comes next: -3209393, -6418785, -9628177, -12837569?
-16046961
What is the next term in 5605, 10720, 14865, 17554, 18301, 16620, 12025?
4030
What comes next: 1203, 946, 501, -138, -977, -2022?
-3279
What comes next: 1937, 3780, 5467, 6920, 8061, 8812?
9095
What is next in -58952, -236092, -531326, -944654, -1476076, -2125592?
-2893202
What is the next term in -12988, -25957, -38918, -51871?
-64816
What comes next: -75654, -149766, -223878, -297990?
-372102
What comes next: 6489215, 12978429, 19467643, 25956857?
32446071
What comes next: 66927, 133838, 200739, 267630, 334511?
401382
What is next in -3171552, -6343105, -9514658?
-12686211
What is next in -18718312, -18718311, -18718310, -18718309?
-18718308
What is next in -188651253, -188651256, -188651259, -188651262, -188651265?
-188651268
What is next in -65507, -65930, -66355, -66782, -67211?
-67642
What comes next: 533783, 1067650, 1601591, 2135606, 2669695, 3203858?
3738095
What is next in -26744, -40725, -54706, -68687, -82668, -96649?
-110630
What is next in -3340, -6701, -10108, -13597, -17204?
-20965
What is the next term in -19757, -20865, -21973, -23081, -24189?
-25297
What is the next term in 3078, 2952, 2744, 2454, 2082, 1628?
1092
What is next in -6123938, -12247891, -18371844, -24495797, -30619750, -36743703?
-42867656
What is the next term in -50821109, -50821121, -50821151, -50821205, -50821289, -50821409, -50821571, -50821781?
-50822045
What comes next: 151612, 1212975, 4093838, 9703957, 18953088, 32750987, 52007410, 77632113?
110534852
What comes next: -1961, -7598, -16827, -29516, -45533, -64746, -87023?
-112232
What comes next: 1073, 2523, 4355, 6569, 9165, 12143?
15503
What is next in 2060, 8526, 19304, 34394?
53796
What is next in 1274, 3441, 5646, 7907, 10242, 12669, 15206, 17871?
20682
What is next in -3120, -5532, -7944?
-10356
What comes next: 1311, 11441, 39083, 92991, 181919, 314621?
499851
What is next in -519795, -519609, -519301, -518871, -518319?
-517645
What is the next term in -557, -760, -367, 922, 3407, 7388?
13165
What is next in 70725856, 141451718, 212177580, 282903442, 353629304?
424355166
What comes next: 36766, 147046, 330836, 588136, 918946, 1323266?
1801096
What comes next: -10, 279, 1072, 2621, 5178?
8995
What is the next term in -7460, -30824, -70092, -125264, -196340?
-283320
What is the next term in -545516, -1091262, -1637238, -2183444?
-2729880
What is the next term in 2359629, 4719269, 7078909, 9438549, 11798189?
14157829
What is the next term in 144083, 288158, 432233, 576308?
720383
What is the next term in 25331, 25208, 24959, 24548, 23939, 23096, 21983, 20564?
18803
What is next in -631659, -631650, -631641, -631632?
-631623
What is next in -59051, -58889, -58601, -58175, -57599, -56861, -55949, -54851?
-53555
What comes next: -40929, -40676, -40419, -40158?
-39893
What is the next term in -4891, -7916, -10939, -13960, -16979?
-19996
What is next in 14733384, 14733442, 14733500, 14733558?
14733616
What is the next term in -59745134, -59745136, -59745138, -59745140, -59745142?
-59745144
What is the next term in -12299, -24368, -36213, -47834, -59231, -70404?
-81353
What comes next: -1124444, -1124449, -1124442, -1124417, -1124368, -1124289?
-1124174
What is the next term in -24028732, -24028726, -24028718, -24028708?
-24028696
What is next in -201323, -201191, -200997, -200741, -200423?
-200043
What is next in 338357, 338344, 338331?
338318
What is next in -263397, -1053600, -2370607, -4214418?
-6585033
What comes next: -78330, -156823, -235316?
-313809
What is the next term in -124956, -249898, -374840, -499782?
-624724
What is next in -21084719, -42169439, -63254159?
-84338879
What comes next: 1531170, 1531189, 1531210, 1531233, 1531258, 1531285?
1531314
What is the next term in 69113, 70451, 71789, 73127?
74465
What is the next term in 2059, -1906, -8515, -17768, -29665, -44206?
-61391
What is the next term in -9468, -19008, -28716, -38676, -48972, -59688?
-70908
What comes next: -719825, -1439864, -2159903, -2879942?
-3599981
What comes next: -8540, -17236, -26184, -35480, -45220, -55500, -66416, -78064?
-90540
What is the next term in -63525, -63186, -62847, -62508, -62169?
-61830
What comes next: -14464, -28554, -42680, -56860, -71112, -85454, -99904?
-114480
What comes next: 7, -86, -343, -848, -1685?
-2938
What is next in -502, -4104, -13896, -32974, -64434, -111372, -176884?
-264066
What is next in -38957, -77917, -116885, -155861, -194845, -233837, -272837?
-311845
What comes next: -177200, -356183, -535166, -714149, -893132?
-1072115
What is next in -35776, -36122, -36468, -36814?
-37160
What is next in -363861, -363874, -363887, -363900, -363913, -363926?
-363939
What comes next: 312636, 625277, 937918?
1250559
What is the next term in 106450, 106641, 106834, 107029, 107226?
107425
What is next in 2913164, 5826315, 8739468, 11652623, 14565780, 17478939?
20392100
What is next in 334, 797, 1484, 2395, 3530, 4889?
6472
What comes next: 24346, 23830, 23312, 22792, 22270?
21746
What is next in -44899519, -89799032, -134698545, -179598058, -224497571?
-269397084
What is next in -40771315, -81542631, -122313947, -163085263, -203856579?
-244627895
What is next in -1089246, -1089221, -1089180, -1089123, -1089050?
-1088961
What is the next term in -9863, -39750, -89665, -159614, -249603, -359638?
-489725
What comes next: -58127, -232520, -523155, -930032, -1453151, -2092512?
-2848115
What comes next: 239215, 478307, 717399, 956491, 1195583?
1434675
What is the next term in -664, 83, 2228, 5771, 10712, 17051?
24788
What is next in 903, 1710, 2281, 2616?
2715
What is next in -34573352, -34573351, -34573350, -34573349, -34573348, -34573347?
-34573346
What is the next term in -75056224, -75056222, -75056220, -75056218, -75056216, -75056214?
-75056212
What is next in -23185, -23356, -23527, -23698, -23869?
-24040
What is next in 3092, 24736, 83528, 198056, 386908?
668672
What comes next: -73190242, -73190240, -73190238, -73190236, -73190234?
-73190232
What comes next: -979437, -1958937, -2938483, -3918069, -4897689, -5877337?
-6857007
What is next in 1511697, 6046777, 13605243, 24187095, 37792333, 54420957?
74072967
What comes next: 50322362, 50322363, 50322364?
50322365
What is next in -55908, -55863, -55818, -55773?
-55728
What comes next: -2354, -2763, -3444, -4397?
-5622
What is the next term in -349, -4110, -14711, -35572, -70113?
-121754
What is the next term in 17259852, 17259861, 17259870, 17259879, 17259888, 17259897?
17259906
What comes next: -160136, -320287, -480438, -640589, -800740?
-960891
What comes next: -30854, -25293, -19732?
-14171
What is next in 31242173, 62484341, 93726509, 124968677, 156210845, 187453013?
218695181
What comes next: 221867, 443567, 665267?
886967
What is the next term in 8178, 17055, 26588, 36741, 47478?
58763
What is next in 13293192, 26586365, 39879538, 53172711, 66465884, 79759057?
93052230
What is the next term in -5370, -10524, -15584, -20502, -25230?
-29720
What is the next term in 533153570, 533153571, 533153572, 533153573, 533153574, 533153575?
533153576
What is next in -26748, -26638, -26452, -26190?
-25852
What comes next: -1866, -14519, -48876, -115791, -226118, -390711, -620424, -926111?
-1318626
What is the next term in 3345, 6218, 9073, 11910?
14729
What is next in 374498, 2995759, 10110600, 23965811, 46808182?
80884503
What is the next term in 327096, 654216, 981338, 1308462, 1635588, 1962716, 2289846?
2616978
What comes next: 1206, 4794, 10766, 19116, 29838, 42926, 58374, 76176?
96326
What comes next: -24511498, -24511517, -24511548, -24511597, -24511670, -24511773, -24511912, -24512093?
-24512322
What comes next: 2386, 2918, 3804, 5044, 6638, 8586, 10888?
13544
What is next in 11204, 25016, 38844, 52694, 66572, 80484?
94436
What comes next: 17277, 34564, 51851?
69138
What comes next: -916618, -916610, -916596, -916576, -916550?
-9165
|
{
"pile_set_name": "DM Mathematics"
}
|
.
3, 417097
What are the prime factors of 202263?
3, 67421
List the prime factors of 5730844.
2, 7, 4177
What are the prime factors of 611869?
23, 37, 719
List the prime factors of 1629679.
89, 18311
What are the prime factors of 479783?
479783
List the prime factors of 3401888.
2, 7, 15187
What are the prime factors of 41200?
2, 5, 103
List the prime factors of 3074.
2, 29, 53
List the prime factors of 744051.
3, 7, 11, 3221
What are the prime factors of 1161472?
2, 13, 349
List the prime factors of 213137.
131, 1627
What are the prime factors of 86527?
7, 47, 263
What are the prime factors of 4397801?
59, 131, 569
What are the prime factors of 1355129?
1355129
List the prime factors of 20075475.
3, 5, 7, 38239
List the prime factors of 729980.
2, 5, 17, 19, 113
What are the prime factors of 356202?
2, 3, 7, 11, 257
List the prime factors of 8395791.
3, 2798597
List the prime factors of 701457.
3, 73, 3203
List the prime factors of 1458905.
5, 7, 73, 571
What are the prime factors of 535319?
535319
What are the prime factors of 11818820?
2, 5, 13, 131, 347
List the prime factors of 978532.
2, 244633
List the prime factors of 4092978.
2, 3, 53, 61, 211
List the prime factors of 91558.
2, 45779
What are the prime factors of 870852?
2, 3, 31, 2341
What are the prime factors of 435027?
3, 145009
List the prime factors of 266963.
239, 1117
List the prime factors of 10326813.
3, 7, 29, 31, 547
List the prime factors of 207369.
3, 23041
What are the prime factors of 4269558?
2, 3, 223, 3191
What are the prime factors of 4860190?
2, 5, 373, 1303
What are the prime factors of 863980?
2, 5, 13, 3323
What are the prime factors of 4657076?
2, 571, 2039
List the prime factors of 731739.
3, 149, 1637
What are the prime factors of 2992764?
2, 3, 249397
What are the prime factors of 275517?
3, 11, 23
List the prime factors of 2725781.
2725781
List the prime factors of 803385.
3, 5, 11, 541
List the prime factors of 1908615.
3, 5, 127241
What are the prime factors of 103259?
13, 47
List the prime factors of 407335.
5, 41, 1987
What are the prime factors of 86571?
3, 9619
What are the prime factors of 30106049?
37, 813677
What are the prime factors of 270166?
2, 13, 10391
List the prime factors of 140614.
2, 167, 421
What are the prime factors of 17475949?
17, 179, 5743
List the prime factors of 5850508.
2, 1462627
List the prime factors of 6435922.
2, 101, 151, 211
What are the prime factors of 594918?
2, 3, 23, 479
What are the prime factors of 2927857?
31, 94447
What are the prime factors of 1313377?
13, 31, 3259
List the prime factors of 47087.
47087
List the prime factors of 327649.
7, 46807
What are the prime factors of 216711?
3, 11, 199
What are the prime factors of 6743182?
2, 31, 108761
What are the prime factors of 303814?
2, 7, 21701
What are the prime factors of 1035323?
1035323
What are the prime factors of 28357853?
17, 29, 97, 593
What are the prime factors of 26870?
2, 5, 2687
What are the prime factors of 468246?
2, 3, 78041
List the prime factors of 135931.
181, 751
What are the prime factors of 1465987?
1465987
List the prime factors of 12255573.
3, 11, 23, 67, 241
What are the prime factors of 458134?
2, 37, 41, 151
List the prime factors of 106400.
2, 5, 7, 19
What are the prime factors of 1966572?
2, 3, 131, 139
What are the prime factors of 633404?
2, 158351
List the prime factors of 283858.
2, 71, 1999
What are the prime factors of 634607?
29, 79, 277
What are the prime factors of 737436?
2, 3, 7, 8779
List the prime factors of 1827274.
2, 913637
List the prime factors of 220148.
2, 47, 1171
List the prime factors of 1278024.
2, 3, 11, 47, 103
List the prime factors of 159937.
159937
List the prime factors of 115074.
2, 3, 2131
What are the prime factors of 393922?
2, 196961
What are the prime factors of 5904837?
3, 137, 4789
List the prime factors of 554294.
2, 13, 21319
List the prime factors of 2463274.
2, 11, 19, 71, 83
List the prime factors of 17785791.
3, 17, 38749
What are the prime factors of 2029059?
3, 131, 1721
List the prime factors of 2752755.
3, 5, 23, 79, 101
List the prime factors of 229373.
229373
What are the prime factors of 4743701?
4743701
What are the prime factors of 6109807?
11, 29, 107, 179
What are the prime factors of 290063?
431, 673
List the prime factors of 8199411.
3, 11, 419, 593
What are the prime factors of 1478101?
29, 50969
What are the prime factors of 8815413?
3, 223, 13177
What are the prime factors of 13394428?
2, 709, 4723
What are the prime factors of 3451860?
2, 3, 5, 127, 151
What are the prime factors of 440055?
3, 5, 7, 11, 127
What are the prime factors of 1538259?
3, 19, 26987
What are the prime factors of 21875?
5, 7
What are the prime factors of 362537?
7, 67, 773
What are the prime factors of 92145?
3, 5, 6143
List the prime factors of 109130.
2, 5, 7, 1559
List the prime factors of 19831489.
19831489
What are the prime factors of 25444279?
7, 23, 107, 211
List the prime factors of 16989992.
2, 677, 3137
List the prime factors of 10985940.
2, 3, 5, 7, 8719
List the prime factors of 384765.
3, 5, 113, 227
List the prime factors of 6903954.
2, 3, 19, 2243
List the prime factors of 3978838.
2, 1989419
What are the prime factors of 3915388?
2, 653, 1499
What are the prime factors of 64563?
3, 21521
What are the prime factors of 63150?
2, 3, 5, 421
What are the prime factors of 5746068?
2, 3, 17, 41, 229
What are the prime factors of 1122718?
2, 561359
List the prime factors of 239867.
23, 10429
List the prime factors of 3653.
13, 281
List the prime factors of 592714.
2, 59, 5023
List the prime factors of 219836.
2, 54959
List the prime factors of 160763.
373, 431
List the prime factors of 6102720.
2, 3, 5, 13, 163
List the prime factors of 6799759.
6799759
What are the prime factors of 63719?
63719
What are the prime factors of 6307925?
5, 13, 1493
List the prime factors of 835383.
3, 23, 12107
What are the prime factors of 2378784?
2, 3, 71, 349
List the prime factors of 682043.
19, 35897
List the prime factors of 266758.
2, 133379
What are the prime factors of 397576?
2, 49697
List the prime factors of 1515118.
2, 11, 61, 1129
What are the prime factors of 3070123?
7, 438589
What are the prime factors of 308897?
103, 2999
What are the prime factors of 13553993?
1033, 13121
What are the prime factors of 1157203?
1157203
What are the prime factors of 441300?
2, 3, 5, 1471
List the prime factors of 756902.
2, 337, 1123
What are the prime factors of 174351?
3, 89, 653
What are the prime factors of 1103161?
641, 1721
List the prime factors of 7656437.
7656437
List the prime factors of 30624456.
2, 3, 37, 34487
What are the prime factors of 1065579?
3, 355193
List the prime factors of 4433048.
2, 149, 3719
What are the prime factors of 12248336?
2, 765521
List the prime factors of 14896049.
7, 109, 2789
What are the prime factors of 781363?
11, 251, 283
What are the prime factors of 1556058?
2, 3, 7, 37049
What are the prime factors of 270775?
5, 10831
List the prime factors of 64020.
2, 3, 5, 11, 97
List the prime factors of 1250475.
3, 5, 16673
What are the prime factors of 1122021?
3, 124669
What are the prime factors of 623788?
2, 11, 14177
List the prime factors of 764393.
7, 109199
What are the prime factors of 8583349?
191, 44939
What are the prime factors of 221963?
7, 37, 857
What are the prime factors of 7028411?
13, 29, 103, 181
List the prime factors of 133594.
2, 66797
List the prime factors of 3728294.
2, 19, 41, 2393
What are the prime factors of 976793?
61, 67, 239
List the prime factors of 15485019.
3, 11, 19, 24697
List the prime factors of 850342.
2, 227, 1873
List the prime factors of 255089.
53, 4813
What are the prime factors of 4294302?
2, 3, 17, 42101
List the prime factors of 2561961.
3, 83, 10289
What are the prime factors of 1626080?
2, 5, 10163
List the prime factors of 1115619.
3, 371873
What are the prime factors of 7909398?
2, 3, 7, 62773
List the prime factors of 632694.
2, 3, 105449
List the prime factors of 1324962.
2, 3, 73609
List the prime factors of 233185.
5, 149, 313
What are the prime factors of 157088?
2, 4909
List the prime factors of 2604784.
2, 7, 13, 1789
What are the prime factors of 22366786?
2, 13, 353, 2437
List the prime factors of 15926
|
{
"pile_set_name": "DM Mathematics"
}
|
rounded to three decimal places?
-7.939
Round 48816.993 to the nearest one hundred thousand.
0
What is -1784.467158 rounded to the nearest integer?
-1784
What is -0.0203472335 rounded to 5 decimal places?
-0.02035
Round -0.00001452234065 to 6 dps.
-0.000015
Round -0.00102637459 to five decimal places.
-0.00103
What is -4807745.234 rounded to the nearest 10000?
-4810000
Round 0.000060066445 to five decimal places.
0.00006
What is -372021.5662 rounded to the nearest ten?
-372020
What is 11.2194428 rounded to the nearest ten?
10
Round -104.54465 to the nearest ten.
-100
What is -0.126022528 rounded to 4 decimal places?
-0.126
Round -210.775373 to the nearest one hundred.
-200
What is 4800.978 rounded to the nearest 100?
4800
What is -1058506.5 rounded to the nearest one hundred thousand?
-1100000
What is -1103.70589 rounded to the nearest 100?
-1100
Round -14667.10037 to the nearest ten thousand.
-10000
Round 20180248 to the nearest one hundred thousand.
20200000
Round -3110207.78 to the nearest 100000.
-3100000
Round 0.00001548009076 to 7 decimal places.
0.0000155
What is 2372576.007 rounded to the nearest ten thousand?
2370000
What is 16938.72038 rounded to the nearest integer?
16939
Round -0.35724187 to three dps.
-0.357
Round -0.000000949181831 to seven decimal places.
-0.0000009
What is 692.9177387 rounded to zero dps?
693
Round 0.232135153 to four dps.
0.2321
Round -0.0114841271 to 5 decimal places.
-0.01148
Round 2639340170 to the nearest 1000000.
2639000000
Round -5239198.344 to the nearest one hundred thousand.
-5200000
What is -437.6253842 rounded to one dp?
-437.6
What is 0.001603005434 rounded to four dps?
0.0016
Round -22860.9252 to the nearest one thousand.
-23000
Round -0.9243448101 to one decimal place.
-0.9
Round -92.836111 to 1 decimal place.
-92.8
What is 0.0004406877744 rounded to 4 decimal places?
0.0004
Round -0.1626063082 to four dps.
-0.1626
What is 0.999231235 rounded to 4 decimal places?
0.9992
Round 0.00000035021506 to 7 dps.
0.0000004
What is -0.000090363176 rounded to 5 decimal places?
-0.00009
Round -5.55176285 to the nearest integer.
-6
What is 527.884157 rounded to the nearest ten?
530
Round 133.59345 to the nearest 10.
130
Round 61.3574792 to the nearest integer.
61
What is 0.05305118 rounded to 2 dps?
0.05
What is 0.00000043106374 rounded to 7 dps?
0.0000004
What is -28.297795 rounded to one dp?
-28.3
What is 3177.3417 rounded to the nearest 10?
3180
What is 0.00198369475 rounded to four decimal places?
0.002
What is -319563728.4 rounded to the nearest ten thousand?
-319560000
Round -0.003275289842 to 6 decimal places.
-0.003275
Round -305.714134 to one dp.
-305.7
Round -2.0793993 to two dps.
-2.08
What is 4917.913291 rounded to the nearest ten?
4920
What is 0.7468406527 rounded to 1 dp?
0.7
What is 17045579930 rounded to the nearest one hundred thousand?
17045600000
What is 0.30675845 rounded to 2 dps?
0.31
Round 0.0152979527 to three dps.
0.015
What is 467006.74 rounded to the nearest 100000?
500000
Round 464182.51 to the nearest one hundred thousand.
500000
Round -1.4361423 to 3 dps.
-1.436
What is -10866.9564 rounded to the nearest integer?
-10867
What is 13173947.1 rounded to the nearest 1000000?
13000000
What is -0.00201397601 rounded to 7 decimal places?
-0.002014
What is 0.028273493 rounded to 4 dps?
0.0283
Round 3.1201275 to the nearest integer.
3
What is 2150255.879 rounded to the nearest 100000?
2200000
What is -984541800 rounded to the nearest one million?
-985000000
Round 14441.922 to the nearest 10000.
10000
What is 5213702800 rounded to the nearest one million?
5214000000
Round -0.0967701535 to two dps.
-0.1
Round -7289245140 to the nearest 100000.
-7289200000
Round 324.5799909 to the nearest 100.
300
What is 126.6672971 rounded to two dps?
126.67
Round 0.004099765 to three dps.
0.004
What is -4194981.244 rounded to the nearest 1000000?
-4000000
What is 0.7877093959 rounded to three dps?
0.788
What is -0.00276208918 rounded to 6 dps?
-0.002762
What is 0.00506307257 rounded to 6 dps?
0.005063
What is 3639.62839 rounded to the nearest 100?
3600
Round -0.000002207845385 to seven dps.
-0.0000022
Round -18.06291 to the nearest one hundred.
0
What is 54250.3921 rounded to the nearest 10000?
50000
Round 0.016796779 to 6 decimal places.
0.016797
Round 0.0519580614 to 3 decimal places.
0.052
What is -4426776.314 rounded to the nearest 100000?
-4400000
What is -0.0000002068307221 rounded to seven dps?
-0.0000002
Round 34263.1889 to 0 decimal places.
34263
What is -1502.195117 rounded to 0 dps?
-1502
What is -0.000956646508 rounded to 5 decimal places?
-0.00096
Round -1466.31851 to the nearest ten.
-1470
Round -214234692.2 to the nearest one thousand.
-214235000
Round 265835000.1 to the nearest 10000.
265840000
What is 4366298.298 rounded to the nearest ten thousand?
4370000
Round -0.0000084462906 to 5 dps.
-0.00001
What is -568692378 rounded to the nearest one million?
-569000000
Round -0.165373471 to four dps.
-0.1654
What is 4474090.69 rounded to the nearest 1000000?
4000000
Round 0.480950763 to three dps.
0.481
Round 0.012232403 to two dps.
0.01
Round 0.0592957529 to 5 dps.
0.0593
What is 1429.73482 rounded to the nearest 100?
1400
What is -0.000001443700578 rounded to seven decimal places?
-0.0000014
Round -1314173.73 to the nearest one thousand.
-1314000
What is 0.000000058525038 rounded to seven decimal places?
0.0000001
What is 33906.88071 rounded to 0 dps?
33907
What is -0.604187078 rounded to 2 dps?
-0.6
Round -11747.56889 to the nearest integer.
-11748
What is -14370185000 rounded to the nearest 1000000?
-14370000000
Round 0.00019182598 to five decimal places.
0.00019
What is -0.002684947623 rounded to four dps?
-0.0027
What is 0.57602603 rounded to 1 dp?
0.6
What is 62.8689035 rounded to 1 dp?
62.9
What is -0.031730205 rounded to four decimal places?
-0.0317
What is 5630977.45 rounded to the nearest 1000000?
6000000
What is 52826270 rounded to the nearest ten thousand?
52830000
What is 1485373550 rounded to the nearest 100000?
1485400000
What is -0.000166052287 rounded to 6 decimal places?
-0.000166
Round 10.784193 to the nearest 10.
10
What is 0.120133069 rounded to 3 dps?
0.12
What is 0.0003800789976 rounded to six decimal places?
0.00038
Round 25356.531 to the nearest ten.
25360
Round 3396.512447 to the nearest 10.
3400
What is -24810.4025 rounded to the nearest ten?
-24810
What is -0.0332571345 rounded to 4 decimal places?
-0.0333
Round -21174.8873 to zero decimal places.
-21175
Round 14674.00028 to the nearest one thousand.
15000
Round 3863.211182 to the nearest 1000.
4000
Round 0.0183659052 to four decimal places.
0.0184
Round -0.00000024917184 to 6 decimal places.
0
Round 8.2108584 to 2 decimal places.
8.21
Round -0.137533396 to four dps.
-0.1375
What is -7.9426351 rounded to 3 decimal places?
-7.943
What is 1364.377212 rounded to the nearest 100?
1400
Round -1818.62976 to zero dps.
-1819
What is -0.0000068290237 rounded to 6 decimal places?
-0.000007
Round -182200.7227 to the nearest 10000.
-180000
What is 0.860061468 rounded to three dps?
0.86
What is 400705.35 rounded to the nearest ten thousand?
400000
Round 5902237129 to the nearest one hundred thousand.
5902200000
Round 0.00038045846 to 7 decimal places.
0.0003805
What is 0.0026496095 rounded to 6 dps?
0.00265
Round 31050691.1 to the nearest one thousand.
31051000
Round -0.37649525 to three dps.
-0.376
What is 0.6262672393 rounded to four dps?
0.6263
Round 13023.9586 to the nearest 1000.
13000
What is -0.02952665632 rounded to 3 dps?
-0.03
Round 0.041599554 to 5 decimal places.
0.0416
What is -0.055913909 rounded to five decimal places?
-0.05591
Round -89.07084658 to 2 dps.
-89.07
What is -39.7398311 rounded to three dps?
-39.74
What is -517505.38 rounded to the nearest 100?
-517500
Round -110.9310405 to two decimal places.
-110.93
What is 0.0024339636 rounded to four decimal places?
0.0024
Round 0.00006210744 to 5 decimal places.
0.00006
Round 0.0065569482 to five dps.
0.00656
What is -0.06913182 rounded to three dps?
-0.069
What is 21.9482959 rounded to 1 dp?
21.9
Round 7452803.8 to the nearest 1000000.
7000000
Round 218636.975 to the nearest one thousand.
219000
What is -798.5375474 rounded to the nearest ten?
-800
Round -770
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*g = -3*s - 960. Round s to the nearest ten.
-320
Let j(p) = -697*p - 1 - 5 - 9. Let z be j(6). Let v = -19097 - z. Round v to the nearest 10000.
-10000
Suppose 5*t + 220 = -0*t + 5*n, -4*n + 221 = -5*t. Let i = t + 23. Let j be i*(3/3 + -11). What is j rounded to the nearest 100?
200
Let x = -50.0979932553 - -50.098. What is x rounded to seven decimal places?
0.0000067
Let x = -402 + 402.01. Let f = -0.0118 + x. What is f rounded to 3 dps?
-0.002
Let f(a) = 6*a - 61. Let y be f(19). Suppose 13 = -4*l + y. Suppose -w - l - 2 = 0. What is w rounded to the nearest integer?
-12
Let k(c) = c**2 + 8*c + 14. Let a be k(-2). Let n be -29 + 30 + ((-440002)/a - 0). Round n to the nearest 10000.
-220000
Let o(t) = -13*t + 11. Let m be o(-6). Suppose -m = z - 409. Let h be z*-1*6375/(-68). What is h rounded to the nearest ten thousand?
30000
Let j(r) = r**3 + 10*r**2 + 11*r + 8. Let d be j(-9). Let s be (-6)/(-30) + 182/d. Let q be (-2699988)/(-54) - 4/s. What is q rounded to the nearest 10000?
50000
Let a = 2.3 + -0.3. Let x = -1.791 + a. Let d = x - -8.491. What is d rounded to 0 dps?
9
Let s(o) = -4*o + 2. Let n be s(-1). Suppose -3163 = n*z + 3857. Round z to the nearest one hundred.
-1200
Let o = -0.255 + 511.255. Let i = o + -298. Let h = 212.9909 - i. What is h rounded to 3 dps?
-0.009
Let x = 0.02209 - 4.03309. Let h = -0.011 - x. Let j = h + -4.0015. Round j to 3 decimal places.
-0.002
Let z = -13.6 - -2610.6. Let h = z + -2597.1239. Round h to two dps.
-0.12
Let o(q) = 3*q**2 - 2*q**2 + 127 + 0*q**2 + 30 - 28*q. Let y be o(24). What is y rounded to the nearest ten?
60
Let a = -0.00804196 + 0.00796. What is a rounded to five dps?
-0.00008
Let k = -3406 + 3406.03095. What is k rounded to two decimal places?
0.03
Let y = -68510.27 + 67876. Round y to the nearest 100.
-600
Let f = 0.083125 - 0.049262. Round f to 4 decimal places.
0.0339
Let h = -602.3 + 602.283486. What is h rounded to two dps?
-0.02
Suppose -37*s - 20484783 = 2669897 - 5242980. What is s rounded to the nearest 100000?
-500000
Let x = -3105.68 + 2430.7. Let j = -3.02 + x. Let l = j - -677.999999691. What is l rounded to seven dps?
-0.0000003
Let v = 1717 + -951. Let n = -765.999999152 + v. What is n rounded to seven decimal places?
0.0000008
Let x = -21714.06857 + 21715.1. Let z = -1.03 + x. Round z to 4 decimal places.
0.0014
Let r = 40001160 + -28200058. Let p = r - 1942096. Let x = 16659006 - p. What is x rounded to the nearest 1000000?
7000000
Let s = -0.845 + 0.7916. Let j = 0.05339319 + s. What is j rounded to six dps?
-0.000007
Let b = -3087 - -3346.8. Let j = b + -284. What is j rounded to zero decimal places?
-24
Let r = -5675 - -3868. Let u = r - -1674.9. What is u rounded to the nearest 10?
-130
Let s = 26.7 - 27.12. Let d = -0.79 - 0.69. Let c = s + d. Round c to the nearest integer.
-2
Let v be -3 + (0 + 5)/1. Let a be v + (-6804 + 3 - (-1 - -2)). Round a to the nearest 1000.
-7000
Let v be ((-586*865)/(-1))/(60 - 61). What is v rounded to the nearest one hundred thousand?
-500000
Suppose 0 = -49*f - 34*f - 484504471 - 1150927529. Round f to the nearest 100000.
-19700000
Let t = 329.71 + -329.690001. Round t to three dps.
0.02
Let m = -7507.938 - -7496. Let u = m + 12. Let c = u + -0.06214. Round c to five dps.
-0.00014
Let p = -9.29 + 9. Let o = 17.41 - p. Let f = 16 - o. Round f to 0 dps.
-2
Let z = 1729.4 + -1729.341244. What is z rounded to 4 dps?
0.0588
Let q = 38933 - 38933.00020903. Round q to six dps.
-0.000209
Let n = -650642.5 - 2779864.5. Let s = n + 3430512.40000076. Let u = s + -5.4. What is u rounded to seven dps?
0.0000008
Let c = 0.03985 + -0.037658. What is c rounded to three dps?
0.002
Let o = 22407.775 + -22376. What is o rounded to 1 decimal place?
31.8
Let f be (26/10 - 2)*(-25 + 55). Suppose f*p = 7*p - 2090. What is p rounded to the nearest one hundred?
-200
Let u = 6103 - 6096.093. What is u rounded to zero decimal places?
7
Let z = 63.75 - 99.47. What is z rounded to the nearest integer?
-36
Let n = -5416 + 5415.99998832. Round n to five decimal places.
-0.00001
Let t(k) = 3498*k + 57. Let p be t(-2). Let j = -12529 - p. Round j to the nearest 1000.
-6000
Let f = -5072.00702 + 5072. Round f to 4 dps.
-0.007
Let p = 395 - 394.594. Let x = -0.4059176 + p. What is x rounded to 6 decimal places?
0.000082
Let b be (-50)/(17*16/5849088). What is b rounded to the nearest ten thousand?
-1080000
Let u = 37053363 + -20625125. Suppose 4*b - 3891762 = u. What is b rounded to the nearest one hundred thousand?
5100000
Let s = -6.3 - -63.3. Let p = s + 27. Let x = p - 84.00000114. Round x to seven dps.
-0.0000011
Let o = 573.87 + -862.003. Let i = -288 - o. Let v = 0.13591 - i. What is v rounded to four decimal places?
0.0029
Let b = 33 + -60. Let r = b - -67. Let d = r + -40.013. What is d rounded to 3 decimal places?
-0.013
Let d = -319 - -648. Let h be (d + -18)/((-1)/2000). Round h to the nearest ten thousand.
-620000
Let s(u) be the third derivative of -3218*u**5/3 + 5*u**4/24 - 5*u**3/3 + 5*u**2 - 16. Let i be s(-6). What is i rounded to the nearest 1000000?
-2000000
Let f = 38773.24377 + -38773. What is f rounded to two dps?
0.24
Let l = -83.78373 + 83.378. Round l to two dps.
-0.41
Let u = 115 + -205. Let c = u - -89.751. Let n = 0.2489839 + c. What is n rounded to six decimal places?
-0.000016
Let y = 701007146.9999692 - 701007011. Let s = 136.268 + -0.268. Let d = y - s. What is d rounded to six dps?
-0.000031
Let q = -1857 - -1158. Let r be 1/2 + q*(-707)/14. What is r rounded to the nearest 1000?
35000
Let f = -2.491 + 0.801. Let c = -3515 + 3529.61. Let n = f - c. Round n to zero decimal places.
-16
Let g be (-4 + (-55)/(-15))*180/10 - -417. Round g to the nearest one thousand.
0
Let x = -1667.6312 - -1.0312. Let z = 1198 + x. Round z to the nearest 10.
-470
Let m = 348773 - 227192. Let h = 121586.2021 - m. Let i = -5.2 + h. Round i to 3 dps.
0.002
Let z = 87.072 + -87. Let v = 0.474 - z. What is v rounded to one decimal place?
0.4
Suppose -2*b = 3*y - 4615022, 1538345 = y - 2*b + 7*b. Let n = -151800 + y. Suppose -2*t - 48540 = -n. Round t to the nearest ten thousand.
670000
Let g = -1.5021 + 0.3895. Round g to one decimal place.
-1.1
Let h = 669.71151 - 668.74. What is h rounded to 3 dps?
0.972
Let i(f) = -f**3 + 23*f**2 - 21*f - 41. Suppose 17*b = -2*a + 13*b - 58, b - 29 = a. Let c be i(a). Round c to the nearest 10000.
40000
Let l = -4488.000007606 + 4488. Round l to 7 dps.
-0.0000076
Let u = -260.9996629 - -261. What is u rounded to 5 dps?
0.00034
Let v be (-11)/((-3)/(-2) - 2). Suppose -v*m + 6276 = -10*m. Round m to the nearest ten.
520
Let k = 255 - 450. Let m = -34746868 - -34747062.99829. Let f = k + m. What is f rounded to four dps?
-0.0017
Let u = 5.753 - 5.77. Let y = 0.01035 - u. Round y to three decimal places.
0.027
Let k = 162.79 - 150.6. Let b = k + -12.2. What is b rounded to 2 dps?
-0.01
Let h = 3531919159533.000001789 - 3531919163892. Let t = h - -4359. What is t rounded to 7 decimal places?
0.0000018
Let n = -56045356 + 25866099. Let d = 30179257.13200109 + n. Let s = d + -0.132. Round s to 7 dps.
0.0000011
Let g = 0.0462 - 0.0102. Let v = -45.958 - -46. Let k = v - g. What is k rounded to 2 decimal places?
0.01
Let h be ((-780)/468)/((-10)/361854). What is h rounded to the nearest ten thousand?
60000
Let s = 980966683831308918.00000103 - 980966693476630042. Let m = s + 9645321168. Let l = 44 - m. What is l rounded to seven dps?
-0.000001
Let i be (6/4)/(7/(-14)) - (14244998 + -1). What is i rounded to the nearest one million?
-14000000
Suppose 51*c = 3*c + 28199871 - 1565151. Round c to the nearest 1000.
555000
Suppose -139 - 41 = -15*y. Let v be ((-832)/y)/4*7125. Round v to the nearest ten thousand.
-120000
Let c = 13311 - -4439. Let z = -63 + 70. Suppose 2*s - c = z*s. What is s rounded to the nearest one hundred?
-3600
Let x = 0.0337 + -1.4437. Let u = -1.4100000686 - x. What is u rounded to 7 dps?
-0.0000001
Let w(p) be the first derivative of -73997*p**2/2 + 15*p - 80. Let m be w(-5). Round m to the nearest 100000.
400000
Let a = 8919 - 7410.6. Round a to the nearest 100.
1500
Let p = -13967.4 + 12554. What is p rounded to the nearest ten?
-1410
Let x = 1863909911 - 823982855. Let v = x - 1039927092.50000588
|
{
"pile_set_name": "DM Mathematics"
}
|
divisor of 711 and 495256293?
711
What is the highest common factor of 16 and 1376176?
16
What is the highest common divisor of 390 and 912795?
195
Calculate the greatest common factor of 8862231 and 794.
397
What is the highest common factor of 1672 and 3018017?
19
What is the greatest common factor of 17330 and 404210?
10
What is the greatest common divisor of 144 and 26950108?
4
What is the greatest common factor of 551 and 31542517?
29
What is the highest common divisor of 171421 and 122396?
37
What is the greatest common factor of 52525 and 275040?
955
Calculate the highest common divisor of 9022 and 362962.
694
Calculate the greatest common divisor of 9906795 and 135.
45
What is the greatest common factor of 33400653 and 3861?
429
What is the highest common divisor of 75299800 and 255?
85
What is the highest common factor of 30 and 5015346?
6
Calculate the highest common factor of 81276 and 173316.
156
What is the highest common factor of 9200 and 197230?
10
Calculate the highest common factor of 10653 and 990994.
53
Calculate the greatest common factor of 5269294 and 1096.
274
Calculate the greatest common divisor of 1112736898 and 2366.
2366
Calculate the greatest common divisor of 55 and 2958035.
5
What is the greatest common divisor of 718389 and 1617?
147
What is the highest common divisor of 808452 and 13464?
612
Calculate the greatest common divisor of 123041059 and 3033.
337
Calculate the highest common factor of 36 and 15326667.
9
Calculate the greatest common divisor of 1425 and 805425.
75
What is the greatest common factor of 97838 and 4165499?
923
What is the greatest common divisor of 625150 and 123850?
50
What is the highest common divisor of 18437080 and 16?
8
What is the greatest common factor of 57 and 28029370?
19
Calculate the greatest common factor of 1965 and 278820.
15
Calculate the greatest common divisor of 46217 and 27939199.
409
What is the greatest common divisor of 47215 and 64220?
95
What is the greatest common divisor of 80214066 and 39006?
3546
What is the highest common divisor of 4384 and 11782?
274
Calculate the greatest common divisor of 1827 and 13963152.
609
What is the highest common factor of 257 and 527830969?
257
Calculate the greatest common factor of 152 and 4006476.
4
What is the greatest common factor of 141 and 304242?
3
What is the highest common factor of 400140 and 10900980?
1620
What is the greatest common factor of 44389260 and 60?
60
What is the highest common factor of 171 and 480516384?
57
Calculate the greatest common factor of 63322798 and 490.
98
What is the highest common factor of 17 and 44824?
1
Calculate the highest common factor of 19395 and 6381.
9
Calculate the greatest common factor of 227882 and 70934.
58
What is the highest common divisor of 18270 and 5085585?
1305
Calculate the highest common factor of 61568 and 1765048.
296
Calculate the highest common divisor of 2727276 and 58344.
204
What is the greatest common divisor of 4179 and 11393148?
597
Calculate the highest common factor of 78150214 and 8579.
373
Calculate the greatest common divisor of 1572345 and 29025.
135
What is the highest common divisor of 36625667 and 1105?
221
What is the greatest common divisor of 9727584 and 730137?
2841
What is the highest common factor of 123 and 11130434?
41
What is the greatest common factor of 568 and 7252508?
284
Calculate the highest common divisor of 5750948 and 11060.
28
What is the highest common divisor of 4216 and 6371089?
31
Calculate the greatest common factor of 96401590 and 130.
10
Calculate the highest common divisor of 436487 and 95.
19
Calculate the highest common divisor of 4622082420 and 9794.
9794
Calculate the highest common divisor of 490 and 24745546.
14
What is the greatest common factor of 26173 and 607425?
7
Calculate the highest common divisor of 9042620 and 450.
10
Calculate the greatest common factor of 20832 and 205254.
42
Calculate the highest common factor of 249570 and 4720.
590
What is the greatest common divisor of 443660 and 5180?
140
Calculate the greatest common factor of 36976 and 704128.
16
What is the highest common factor of 49422890 and 825?
55
Calculate the highest common factor of 490886 and 1488982.
1166
What is the greatest common divisor of 15808 and 145504?
32
What is the highest common divisor of 6803012 and 664?
332
Calculate the highest common divisor of 6120 and 115364448.
1224
What is the highest common factor of 165 and 2088845?
55
What is the greatest common divisor of 118677 and 54842736?
6981
Calculate the highest common divisor of 304735 and 140420.
295
Calculate the highest common divisor of 429824 and 139978.
46
What is the greatest common factor of 981 and 2902131?
9
What is the greatest common divisor of 30705 and 1168032?
69
Calculate the highest common divisor of 133269 and 5115.
93
Calculate the greatest common divisor of 98968 and 128992.
1112
What is the greatest common factor of 4315457 and 887132?
1693
What is the greatest common divisor of 3 and 1045293?
3
Calculate the greatest common factor of 98427 and 105651.
903
What is the greatest common divisor of 64697 and 926628?
2087
What is the highest common divisor of 10019 and 39560371?
233
Calculate the greatest common divisor of 2406826 and 7888.
986
What is the highest common factor of 6464906 and 18256?
2282
What is the highest common factor of 18883743 and 93?
93
Calculate the greatest common divisor of 320909 and 16194710.
7463
What is the highest common divisor of 239936 and 163?
163
Calculate the highest common factor of 7546 and 11187638.
154
Calculate the highest common factor of 211455310 and 1124.
562
What is the highest common divisor of 440016 and 264504?
2472
Calculate the greatest common factor of 1414726 and 18891.
2099
Calculate the greatest common factor of 18690 and 4263420.
210
What is the greatest common factor of 61 and 84557773?
61
What is the highest common divisor of 816315253 and 13?
13
What is the greatest common factor of 1258049 and 9802?
377
What is the highest common divisor of 5964 and 24629829?
1491
What is the highest common divisor of 3586 and 13640?
22
Calculate the highest common factor of 133 and 6607478.
19
What is the greatest common divisor of 7 and 806728811?
7
Calculate the greatest common divisor of 44 and 30781488.
4
Calculate the highest common factor of 8957396 and 15896.
7948
Calculate the highest common factor of 183048 and 19749.
87
Calculate the highest common divisor of 308255424 and 3264.
3264
What is the highest common factor of 140823 and 9657?
9
Calculate the greatest common divisor of 266347 and 7055.
83
Calculate the highest common divisor of 1009023561 and 162.
81
What is the highest common factor of 359 and 41551737?
359
What is the highest common divisor of 30653712 and 432?
144
Calculate the greatest common factor of 536 and 1866754.
134
What is the greatest common factor of 23770679 and 6671?
953
What is the greatest common factor of 21 and 99336531?
21
Calculate the highest common divisor of 41101836 and 10992.
2748
What is the highest common factor of 2494476 and 44?
4
Calculate the greatest common divisor of 120 and 7450548.
12
What is the greatest common factor of 3828 and 603556932?
3828
What is the highest common factor of 728 and 30624272?
56
Calculate the highest common factor of 15 and 85082765.
5
Calculate the greatest common factor of 31256587 and 124.
31
Calculate the highest common divisor of 9779 and 401170.
77
Calculate the greatest common divisor of 10613333 and 80417.
1711
What is the greatest common divisor of 131706 and 9616164?
1626
What is the greatest common divisor of 208 and 63101298?
26
What is the highest common divisor of 1272640 and 3392?
64
What is the greatest common divisor of 6565149 and 1395?
279
What is the highest common factor of 34 and 28250294?
34
What is the highest common divisor of 300 and 111952575?
75
What is the greatest common factor of 3960 and 22941864?
792
Calculate the greatest common divisor of 44644104 and 6624.
1656
What is the highest common divisor of 49234615 and 7102?
3551
What is the greatest common factor of 835 and 2709?
1
What is the highest common divisor of 259154 and 3780742?
2422
Calculate the highest common factor of 198124 and 8
|
{
"pile_set_name": "DM Mathematics"
}
|
e in -5, 0.021, -1?
-1
What is the second biggest value in -12, 3/7, -1, -5?
-1
What is the smallest value in 0.3, 0, -1/4, 5, 5/3?
-1/4
Which is the third biggest value? (a) -0.1 (b) -437 (c) 0 (d) 0.3 (e) -2
a
What is the fifth biggest value in -1/7, -24, -2, -14, 3?
-24
Which is the biggest value? (a) 2/5 (b) 1/3 (c) 2779 (d) 0.2
c
What is the second smallest value in 4/5, -5, 0.2, 0.5?
0.2
Which is the fourth biggest value? (a) -1 (b) -1/4 (c) -25 (d) -3
c
Which is the biggest value? (a) 1 (b) -0.2 (c) 0 (d) 2/5 (e) 6
e
Which is the second smallest value? (a) -3/5 (b) -0.5 (c) -121/12
a
Which is the second biggest value? (a) 8 (b) 1 (c) -16/3
b
Which is the fourth smallest value? (a) -3 (b) -24.9 (c) -1/5 (d) -4
c
Which is the second biggest value? (a) 2/7 (b) 23/5 (c) 3 (d) 1/7
c
Which is the third smallest value? (a) -87 (b) -0.4 (c) 0.1 (d) -2 (e) -2/11
b
What is the second biggest value in -0.1, 0.2, 3094?
0.2
What is the smallest value in 0.5, -6, 0.4, -1/10?
-6
What is the smallest value in 1, 0.1, 155?
0.1
Which is the third smallest value? (a) 4 (b) 0 (c) 2.2 (d) -4/7
c
Which is the second biggest value? (a) -1 (b) 0.4 (c) -2/13 (d) 2/27
d
What is the second biggest value in -47, 2/21, -0.2?
-0.2
What is the fifth smallest value in 5/6, 1.92, -0.4, 2, 1/2?
2
What is the biggest value in 0, -148, -1, 1?
1
What is the biggest value in -10, -2/13, 7?
7
What is the biggest value in -4, 1, -5, -2/7, 65?
65
What is the second smallest value in 1/2, -0.2, -15?
-0.2
Which is the biggest value? (a) -1/2 (b) 3 (c) -178
b
Which is the biggest value? (a) -0.06 (b) 0.3 (c) 3 (d) -8
c
What is the second smallest value in 2/15, -90, 1, -3, 2?
-3
What is the second smallest value in 1.3, -0.4, 5, 1/6?
1/6
Which is the third biggest value? (a) 2 (b) -3/92 (c) -3/4
c
Which is the smallest value? (a) -0.08 (b) -4 (c) -87 (d) -3
c
What is the third biggest value in 2, -46/3, 0, -7, 1/5?
0
Which is the biggest value? (a) 0.8 (b) 0.2 (c) 1/11
a
What is the second smallest value in 1/2, -1/3, -9, 4?
-1/3
Which is the biggest value? (a) 4 (b) 163 (c) -0.05 (d) -5
b
What is the third biggest value in -4, -2/7, -37/2?
-37/2
What is the fourth biggest value in -3, -3/5, 1/8, 29?
-3
Which is the second smallest value? (a) 11 (b) -3/8 (c) 0.1 (d) 5
c
Which is the second smallest value? (a) -4/9 (b) 15 (c) -3/11 (d) -1/3
d
What is the smallest value in -0.26, -3/5, 10?
-3/5
Which is the second biggest value? (a) 0.2 (b) 4 (c) 5 (d) 13
c
Which is the fifth smallest value? (a) 2/7 (b) 2 (c) -1/2 (d) 0.5 (e) 6
e
Which is the biggest value? (a) 1/3 (b) -0.5 (c) 0.3 (d) 1/4
a
Which is the biggest value? (a) -14 (b) 0 (c) -0.3
b
What is the biggest value in -1, 8, 0.01, -8, -3/5?
8
What is the fifth biggest value in 0.1, 0.083, -3, 2/9, -1/7?
-3
Which is the third smallest value? (a) -41 (b) -5/3 (c) 0.06 (d) -5
b
What is the biggest value in -1/5, -0.3, -54, 5, 2?
5
Which is the fifth smallest value? (a) 1/3 (b) -15.9 (c) 4 (d) 7/4 (e) -3
c
Which is the second smallest value? (a) 0 (b) -1 (c) 2/9 (d) -2/21
d
Which is the biggest value? (a) 0.5 (b) 2 (c) -65
b
Which is the smallest value? (a) 1 (b) 8251 (c) 0.5
c
What is the third smallest value in 1/4, 2/75, -4/3?
1/4
What is the biggest value in 7.7, -3, 3/7, -6?
7.7
Which is the fourth biggest value? (a) 4/3 (b) -1 (c) 1 (d) 5
b
What is the third smallest value in 4/9, -0.3, 15?
15
Which is the third biggest value? (a) 1/6 (b) 4 (c) 107.9 (d) 0.2
d
What is the biggest value in 8, 10, 2/13?
10
Which is the biggest value? (a) 0 (b) 4 (c) -447
b
Which is the second biggest value? (a) -0.222 (b) 0.4 (c) 1/2
b
What is the smallest value in -0.04, -12, -1/10?
-12
What is the third biggest value in -1/3, -0.4, -0.17?
-0.4
What is the third smallest value in -9, 5, -6, 2, -0.5?
-0.5
What is the fourth smallest value in 5, 1/3, 0.5, 91, 2?
5
What is the fourth smallest value in 9, -2, -8, -2/9?
9
What is the third smallest value in 4, 0.3, -1/4?
4
What is the fourth smallest value in 13, 0.3, 3, 9/5, -3?
3
What is the fifth biggest value in 0.2, 3, -0.5, 419, -2?
-2
What is the second smallest value in 2/285, 4, 0.2, -3?
2/285
Which is the fourth biggest value? (a) -3 (b) -1.69 (c) 2 (d) -0.1
a
Which is the second smallest value? (a) -0.1 (b) -140 (c) 8
a
Which is the smallest value? (a) 0.5 (b) -391 (c) -5
b
Which is the second biggest value? (a) -3 (b) 0.2 (c) 0.4 (d) 5
c
What is the biggest value in -5, 3, -4, -0.1?
3
Which is the second biggest value? (a) -1.1 (b) 0.4 (c) -2 (d) -0.2
d
Which is the fourth biggest value? (a) -0.4 (b) -22 (c) -3 (d) 3/5
b
What is the second biggest value in 407, -5, 2, 0.4?
2
What is the fifth smallest value in -1/2, 1, -6, -0.4, -0.7?
1
Which is the third biggest value? (a) 0.2 (b) 1/4 (c) 0.03 (d) 2 (e) -1/3
a
Which is the fourth biggest value? (a) -14 (b) 0.6 (c) -0.5 (d) -0.2 (e) -3
e
Which is the smallest value? (a) -0.5 (b) 13.1 (c) 0.5
a
Which is the second biggest value? (a) 0.3 (b) -0.03 (c) 2 (d) 4
c
Which is the second biggest value? (a) 2 (b) 2/5 (c) 0.2
b
What is the fifth smallest value in -4, 35, 1/4, 1, 1/7?
35
Which is the fourth smallest value? (a) 0.271 (b) 4 (c) 0.2 (d) 6 (e) -1
b
What is the third biggest value in -5.4, 2/9, 0.3, 0, 1?
2/9
What is the second biggest value in 67, 3, 85/2?
85/2
Which is the fourth biggest value? (a) 5 (b) 401 (c) -3 (d) 1
c
What is the second smallest value in -886, 1/5, -1?
-1
What is the smallest value in 1/2, -13, -2, -0.2?
-13
What is the second biggest value in 12/5, -1/3, -1.7?
-1/3
Which is the second smallest value? (a) -3 (b) -6 (c) -3/7 (d) 2/9
a
What is the smallest value in 2, 3, 1291?
2
Which is the second biggest value? (a) 1/2 (b) 17/8 (c) 0.3
a
What is the biggest value in 51, 4, 1/4?
51
Which is the fourth smallest value? (a) 2/9 (b) 0.8 (c) -1/3 (d) -0.05
b
Which is the second biggest value? (a) -0.09 (b) -1/6 (c) -0.4 (d) -2/13 (e) 1/26
a
What is the fourth smallest value in 5, 1/9, 1/3, 7/3?
5
What is the third smallest value in -3, 3/2, -2/7, 29?
3/2
What is the third biggest value in -5, -3, 2/3, -85?
-5
What is the second biggest value in -195, 0.02, -3/2?
-3/2
Which is the second biggest value? (a) -2/3 (b) 18/53 (c) -1
a
What is the third smallest value in 0, -60, -1?
0
Which is the third biggest value? (a) -2 (b) 4 (c) -2/17 (d) 0.13 (e) -0.2
c
What is the biggest value in -3, 3, -1/3, -0.1?
3
What is the third biggest value in -0.5, 3, -0.4?
-0.5
Which is the fourth biggest value? (a) 2 (b) -9.4 (c) 0.2 (d) -2/11
b
What is the fourth biggest value in 6/5, -4, -32, -4/3?
-32
Which is the second biggest value? (a) -0.5 (b) 1 (c) 2
b
What is the third smallest value in -0.1, 5, -20.49?
5
What is the third biggest value in 1/3, 0.3, 0.5, 16?
1/3
What is the third biggest value in -2/21, 0.067, -3, -2?
-2
Which is the second smallest value? (a) 10 (b) -4 (c) 1/7 (d) -0.061
d
Which is the third biggest value? (a) 1 (b) -2 (c) 2/245 (d) 5
c
What is the third biggest value in -25, -4/11, 5?
-25
What is the second biggest value in 114, -0.5, 4?
4
Which is the fourth smallest value? (a) -41 (b) -4 (c) 1 (d) 0.3 (e) 0.1
d
Which is the fifth smallest value? (a) -5 (b) 2 (c) -2/5 (d) 6 (e) -4/13
d
Which is the third smallest value? (a) 2/47 (b) -0.3 (c) -3
a
What is the third smallest value in -3, -0.6, 1/2, -6?
-0.6
What is the fourth biggest value in -1/4, -0.5, 4, -2?
-2
Which is the second smallest value? (a) 1/2 (b) 3 (c) -2/15 (d) 1/7 (e) -8
c
What is the biggest value in 0.394, -3, -0.3?
0.394
What is the second smallest value in 18, 16, -4?
16
Which is the third biggest value? (a) -2 (b) 0.47 (c) 0.3
a
What is the biggest value in 2, -1, 0.09, 0.77, 3?
3
What is the smallest value in 4, -3, -0.038?
-3
What is the third biggest value in -16, -4, -0.6, -2/11, 5?
-0.6
Which is the second smallest value? (a) 4 (b) 1/2 (c) -0.0582 (d) -1/3
c
Which is the biggest value? (a) 9 (b) 253 (c) -7
b
What is the third biggest value in -4, 0.5, 7, -21?
-4
Which is the third smallest valu
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by 178?
176
What is the remainder when 127 is divided by 119?
8
Calculate the remainder when 339 is divided by 17.
16
What is the remainder when 57 is divided by 12?
9
What is the remainder when 245 is divided by 64?
53
Calculate the remainder when 46 is divided by 33.
13
What is the remainder when 822 is divided by 14?
10
Calculate the remainder when 289 is divided by 23.
13
Calculate the remainder when 85 is divided by 22.
19
What is the remainder when 170 is divided by 74?
22
Calculate the remainder when 315 is divided by 29.
25
What is the remainder when 1065 is divided by 31?
11
Calculate the remainder when 1790 is divided by 893.
4
Calculate the remainder when 257 is divided by 90.
77
Calculate the remainder when 10063 is divided by 183.
181
What is the remainder when 1288 is divided by 255?
13
What is the remainder when 139 is divided by 26?
9
Calculate the remainder when 90 is divided by 24.
18
Calculate the remainder when 315 is divided by 23.
16
What is the remainder when 61 is divided by 25?
11
What is the remainder when 1313 is divided by 103?
77
What is the remainder when 5949 is divided by 93?
90
Calculate the remainder when 160 is divided by 12.
4
What is the remainder when 1916 is divided by 958?
0
Calculate the remainder when 296 is divided by 99.
98
Calculate the remainder when 225 is divided by 19.
16
What is the remainder when 878 is divided by 110?
108
What is the remainder when 2109 is divided by 159?
42
Calculate the remainder when 274 is divided by 52.
14
What is the remainder when 143 is divided by 18?
17
What is the remainder when 1202 is divided by 28?
26
What is the remainder when 14121 is divided by 277?
271
What is the remainder when 1818 is divided by 6?
0
What is the remainder when 1317 is divided by 85?
42
What is the remainder when 525 is divided by 90?
75
Calculate the remainder when 837 is divided by 830.
7
What is the remainder when 7461 is divided by 1865?
1
Calculate the remainder when 522 is divided by 25.
22
What is the remainder when 13897 is divided by 50?
47
Calculate the remainder when 2466 is divided by 272.
18
Calculate the remainder when 238 is divided by 135.
103
What is the remainder when 3536 is divided by 161?
155
Calculate the remainder when 197 is divided by 106.
91
Calculate the remainder when 1263 is divided by 47.
41
Calculate the remainder when 12069 is divided by 170.
169
What is the remainder when 484 is divided by 49?
43
Calculate the remainder when 368 is divided by 176.
16
What is the remainder when 508 is divided by 126?
4
Calculate the remainder when 104 is divided by 86.
18
Calculate the remainder when 176 is divided by 147.
29
Calculate the remainder when 1642 is divided by 47.
44
What is the remainder when 9709 is divided by 117?
115
Calculate the remainder when 1188 is divided by 119.
117
What is the remainder when 119 is divided by 42?
35
Calculate the remainder when 81999 is divided by 164.
163
What is the remainder when 657 is divided by 442?
215
What is the remainder when 61 is divided by 29?
3
Calculate the remainder when 339 is divided by 31.
29
Calculate the remainder when 262 is divided by 24.
22
What is the remainder when 7598 is divided by 19?
17
What is the remainder when 2255 is divided by 61?
59
Calculate the remainder when 234 is divided by 50.
34
Calculate the remainder when 961 is divided by 474.
13
What is the remainder when 2064 is divided by 40?
24
Calculate the remainder when 856 is divided by 13.
11
Calculate the remainder when 886 is divided by 33.
28
Calculate the remainder when 3014 is divided by 3004.
10
What is the remainder when 195 is divided by 33?
30
Calculate the remainder when 1279 is divided by 61.
59
What is the remainder when 2535 is divided by 1267?
1
What is the remainder when 254 is divided by 22?
12
What is the remainder when 2684 is divided by 10?
4
Calculate the remainder when 2949 is divided by 246.
243
Calculate the remainder when 186 is divided by 17.
16
What is the remainder when 4332 is divided by 4?
0
What is the remainder when 322 is divided by 84?
70
Calculate the remainder when 201 is divided by 115.
86
Calculate the remainder when 352 is divided by 18.
10
What is the remainder when 279 is divided by 75?
54
What is the remainder when 146 is divided by 100?
46
Calculate the remainder when 4222 is divided by 44.
42
Calculate the remainder when 68 is divided by 26.
16
Calculate the remainder when 34 is divided by 10.
4
What is the remainder when 808 is divided by 20?
8
Calculate the remainder when 860 is divided by 97.
84
Calculate the remainder when 116 is divided by 61.
55
Calculate the remainder when 1156 is divided by 195.
181
Calculate the remainder when 38 is divided by 21.
17
What is the remainder when 29 is divided by 12?
5
Calculate the remainder when 28 is divided by 19.
9
What is the remainder when 2945 is divided by 295?
290
What is the remainder when 2385 is divided by 13?
6
What is the remainder when 319 is divided by 108?
103
What is the remainder when 103 is divided by 93?
10
What is the remainder when 220 is divided by 197?
23
Calculate the remainder when 337 is divided by 31.
27
Calculate the remainder when 181 is divided by 169.
12
Calculate the remainder when 810 is divided by 37.
33
What is the remainder when 183 is divided by 134?
49
Calculate the remainder when 696 is divided by 34.
16
What is the remainder when 197 is divided by 50?
47
What is the remainder when 121 is divided by 26?
17
Calculate the remainder when 862 is divided by 413.
36
What is the remainder when 512 is divided by 57?
56
What is the remainder when 1448 is divided by 22?
18
Calculate the remainder when 4047 is divided by 27.
24
Calculate the remainder when 280 is divided by 70.
0
What is the remainder when 732 is divided by 67?
62
What is the remainder when 485 is divided by 1?
0
Calculate the remainder when 1539 is divided by 510.
9
Calculate the remainder when 15 is divided by 9.
6
What is the remainder when 73 is divided by 7?
3
What is the remainder when 688 is divided by 137?
3
Calculate the remainder when 184 is divided by 17.
14
Calculate the remainder when 182 is divided by 3.
2
What is the remainder when 350 is divided by 117?
116
Calculate the remainder when 3231 is divided by 77.
74
Calculate the remainder when 62 is divided by 20.
2
What is the remainder when 216 is divided by 76?
64
Calculate the remainder when 49 is divided by 44.
5
Calculate the remainder when 648 is divided by 166.
150
Calculate the remainder when 990 is divided by 124.
122
Calculate the remainder when 3182 is divided by 8.
6
Calculate the remainder when 12988 is divided by 6493.
2
What is the remainder when 363 is divided by 11?
0
What is the remainder when 88 is divided by 34?
20
Calculate the remainder when 204 is divided by 41.
40
Calculate the remainder when 244 is divided by 21.
13
Calculate the remainder when 4534 is divided by 36.
34
Calculate the remainder when 24 is divided by 15.
9
Calculate the remainder when 3191 is divided by 152.
151
What is the remainder when 1654 is divided by 383?
122
What is the remainder when 2321 is divided by 207?
44
What is the remainder when 1535 is divided by 69?
17
Calculate the remainder when 34 is divided by 34.
0
Calculate the remainder when 307 is divided by 161.
146
What is the remainder when 29 is divided by 10?
9
Calculate the remainder when 1979 is divided by 339.
284
Calculate the remainder when 138 is divided by 35.
33
Calculate the remainder when 551 is divided by 126.
47
Calculate the remainder when 1097 is divided by 25.
22
Calculate the remainder when 1325 is divided by 32.
13
What is the remainder when 393 is divided by 204?
189
Calculate the remainder when 243 is divided by 71.
30
Calculate the remainder when 285 is divided by 42.
33
What is the remainder when 2420 is divided by 31?
2
What is the remainder when 39 is divided by 27?
12
Calculate the remainder when 507 is divided by 40.
27
What is the remainder when 153 is divided by 79?
74
What is the remainder when 365 is divided by 121?
2
What is the remainder when 215 is divided by 118?
97
What is the remainder when 60 is divided by 9?
6
Calculate the remainder when 213 is divided by 108.
105
Calculate the remainder when 48 is div
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate -5215 - -75316847.3.
75311632.3
What is -172 less than -6778650935?
-6778650763
What is the distance between -0.333911558 and -22?
21.666088442
Work out -156.241395 - 57.3.
-213.541395
Sum -17561896810 and -0.25.
-17561896810.25
What is the difference between 39100818287 and -11?
39100818298
What is -33419171 take away -1610.04?
-33417560.96
Put together -2.05513 and -1950.541.
-1952.59613
Put together 1267852.689663 and 223.
1268075.689663
What is the distance between -0.3 and 22843982475?
22843982475.3
480587.9+25234
505821.9
Calculate 194.32 - 375165.42.
-374971.1
Work out 2036100415926 - -0.03.
2036100415926.03
547668198501214 + 0.5
547668198501214.5
Sum -171982.3154593 and -0.077.
-171982.3924593
What is -56112092523 - 70?
-56112092593
Calculate -3744736639 + 1191.
-3744735448
What is 962711908 less than -5358.5?
-962717266.5
-0.071 + -97341097368
-97341097368.071
Add -24914418.346011 and 1.8.
-24914416.546011
Add 7902742698 and -2453.
7902740245
Subtract 13608.23 from 0.00829.
-13608.22171
What is 27326.23107 minus -15518?
42844.23107
What is 4.62 take away 55.746787?
-51.126787
Total of -256511427027121 and -1.
-256511427027122
Subtract 176467.83194 from -62.
-176529.83194
Calculate 1.5246 - -19075986028.
19075986029.5246
What is -23.171564 + 0.044335?
-23.127229
What is -1.56078679 take away 616?
-617.56078679
Work out -1174657674 - 2442.
-1174660116
Sum -2009 and 45159479.6694.
45157470.6694
What is -4037889385364 - -0.1?
-4037889385363.9
What is 3 - 1565482.472581?
-1565479.472581
Subtract -15.897985 from 1365.06.
1380.957985
Work out 5906 - -173466963.
173472869
Add together 21106 and -5970375.
-5949269
What is -4.6 less than 677150193.22?
677150197.82
What is 4247 minus 439.09307?
3807.90693
What is 1823999379 less than 23.157?
-1823999355.843
What is -2480 - 0.329846445?
-2480.329846445
Work out 1.840699419817 - -1.
2.840699419817
What is 0.4 minus -81709313.023?
81709313.423
Calculate -1590947.0388 + 0.145.
-1590946.8938
Work out 1899635858132 - 5.
1899635858127
What is 0.5 - 117765759354320?
-117765759354319.5
What is 6.90584647 plus -378818?
-378811.09415353
Add together 108 and 13123.592715.
13231.592715
Total of 6885049670 and 10042.
6885059712
Calculate -0.1593060632783 - 1.
-1.1593060632783
Sum -160 and -159078376092.
-159078376252
Subtract 1936.5342 from -2172249.
-2174185.5342
Add 42905 and -32724753.
-32681848
What is the difference between -27.5 and 14332105588?
14332105615.5
-0.109 + 119.0071591138
118.8981591138
Sum 0.0113977494525 and -3.
-2.9886022505475
Work out -0.1 + 10338001970839.
10338001970838.9
What is the distance between -9012489081 and -111?
9012488970
23.7 - 43782671976
-43782671952.3
-3638042964+-1.759
-3638042965.759
Total of 1 and 5927051292552.
5927051292553
Work out -245 + -10.9870928.
-255.9870928
What is the distance between -0.12 and 26459475190072?
26459475190072.12
Calculate 146270 + 7791664.
7937934
What is -5080.99694 + 21.902?
-5059.09494
Add 531521583 and 22854.7.
531544437.7
2 + 2.29779705084
4.29779705084
Add -2411808405379 and 5.
-2411808405374
What is the distance between -417527669 and 0.03218?
417527669.03218
What is -0.16282 minus -712045597?
712045596.83718
Total of -0.14 and 21622094731201.
21622094731200.86
10456541141 - 585
10456540556
0.0351835 + -867575.2
-867575.1648165
-21548198 - -275.3
-21547922.7
Calculate 16 + 282.835844589.
298.835844589
Add -85798967484 and -28.
-85798967512
What is -8 minus 0.26245675474?
-8.26245675474
Add -3 and 157988878705.
157988878702
Calculate -260469 - 1958137.
-2218606
What is -77333730.137789 minus -0.3?
-77333729.837789
12585 + -21290375.2
-21277790.2
What is 39030 minus 47846.6?
-8816.6
What is the difference between 4086001174549 and -61?
4086001174610
Add -708.1941477 and 0.3969.
-707.7972477
Put together -74 and -671651986503.
-671651986577
0.0212 - 25.579096082
-25.557896082
-1075.72896 - 340071.9
-341147.62896
What is -0.001876 minus 2407951390?
-2407951390.001876
Add 1.33835584 and 7329.
7330.33835584
What is the difference between 283532.5051818 and -94?
283626.5051818
What is the difference between -1.4 and -504.346665083?
502.946665083
What is 79.8103 less than 1579102?
1579022.1897
Sum -1039.212385982 and -5.
-1044.212385982
What is the difference between 35 and 0.152270214481?
34.847729785519
What is 138106.222774 less than -0.2?
-138106.422774
What is -0.0832 plus -544832036?
-544832036.0832
Total of 20.45503318365 and 0.5.
20.95503318365
Work out -108905 + 4094368.
3985463
Work out 994473612 + -2174.
994471438
1316751042080+127
1316751042207
0.04559 + -40676188124
-40676188123.95441
1 - 4315279490893
-4315279490892
Subtract 1.7 from 3.91188812.
2.21188812
-5 - -139954813515697
139954813515692
What is -7.779227 minus -2.4634952?
-5.3157318
What is -0.0801 take away -10096210.1?
10096210.0199
615801617 + -51009
615750608
Add 894712 and -817208.
77504
Subtract -9207017 from -2409258.
6797759
What is 9.6958832067 take away -0.0258?
9.7216832067
What is 0.11 plus 0.660805594531?
0.770805594531
What is the difference between 0.01111 and -74268892?
74268892.01111
Put together 69477060.495 and 24.
69477084.495
What is 72645.65 take away -252577.51?
325223.16
8437.26984279772 + -0.2
8437.06984279772
-70614597 - 877.449
-70615474.449
Work out -30.144591 - -6.7445.
-23.400091
Subtract -14 from 2286062.9129.
2286076.9129
-4033.96 - 29258120
-29262153.96
What is 23056 less than -86858812?
-86881868
Calculate -2746083.8 - 1.23727.
-2746085.03727
-146353321 - -54964
-146298357
Add together -4787784731 and -6.9.
-4787784737.9
What is -45.5 - -19263481393?
19263481347.5
Put together 0.3 and -720557451360.
-720557451359.7
What is the difference between -0.853015955 and 11.3?
12.153015955
What is 209797 minus 145034533.5?
-144824736.5
Work out 10753851831 - -96.
10753851927
Subtract 133062960 from 1177851.
-131885109
Sum 5625636899.684 and 0.1.
5625636899.784
What is -345.3 + -304266780?
-304267125.3
0.08 + 148135040.887
148135040.967
Add -534092820 and 0.00758.
-534092819.99242
22 + 2893033581
2893033603
What is -547260 minus 0.377009?
-547260.377009
What is 81968707024 less than 47?
-81968706977
What is 5.97031 less than 0.0961203746?
-5.8741896254
0.1 - 1028887.2086326
-1028887.1086326
Calculate -13327.913235 + -14.
-13341.913235
Work out -18.868657041 + 144.
125.131342959
Subtract -4404655 from -54879319.
-50474664
What is 1.2 - -300.2530549?
301.4530549
What is 7 + 2.186031085?
9.186031085
Work out 16 + 3859834118.
3859834134
Add -10298 and 0.23803286748.
-10297.76196713252
-340963448914 - 0.75
-340963448914.75
727 - -1.6181342
728.6181342
Add together -3794918211.6 and 3965.
-3794914246.6
-1.3984806128+-0.29
-1.6884806128
What is -1743052910 + -0.258?
-1743052910.258
What is the difference between 1869041 and -129188?
1998229
121551.7135344 - -4
121555.7135344
What is the distance between -14635865857 and -9.11?
14635865847.89
What is 7.1746598638 - 2.3?
4.8746598638
What is 7 less than -515930345927.76?
-515930345934.76
What is the distance between 104892 and 32.8372?
104859.1628
What is -244 - 40557146.272?
-40557390.272
0.50511152+20.156
20.66111152
Put together -50 and -11655.9553768.
-11705.9553768
What is the difference between -8991212.118 and 306.54?
8991518.658
66946 - -1070304
1137250
What is -17235410954 + 0.06716?
-17235410953.93284
Add together -1204393 and -1490434.
-2694827
Add together -1852943991732 and -9.
-1852943991741
What is -13511368.86 minus 172?
-13511540.86
Sum 88508 and -94836.9.
-6328.9
Work out 95 - 45189.28529.
-45094.28529
Calculate -1501 - 8923.92578.
-10424.92578
Subtract 0.1 from 9525782094.
9525782093.9
Calculate -29747191.2 - 0.1455.
-29747191.3455
-3156317.7+8374
-3147943.7
Work out -13.49222 + -423.196.
-436.68822
Add together 1058102216858209 and 4.
1058102216858213
Put together -9.7289291 and -53675.
-53684.7289291
Calculate -0.02 + -9136476817.74.
-9136476817.76
2+20752175385
20752175387
Work out -4660694364 - -87.
-4660694277
Add -9.2 and -315945.29368.
-315954.49368
Work out -0.30909 + 1699251923.
1699251922.69091
What is -0.04 take away 70642501416?
-70642501416.04
What is 11 - -3.8069993050357?
14.8069993050357
-14.591626275+11814
11799.408373725
What is the difference between 102
|
{
"pile_set_name": "DM Mathematics"
}
|
ob of sequence ykff when four letters picked without replacement from {f: 2, y: 13, z: 2, k: 3}.
13/19380
Four letters picked without replacement from {d: 4, v: 1, g: 1, m: 1, w: 1}. Give prob of sequence wdmd.
1/140
Four letters picked without replacement from {e: 10}. What is prob of sequence eeee?
1
Four letters picked without replacement from iuuuuuuxoiuooi. Give prob of sequence iixo.
3/4004
What is prob of sequence xmmx when four letters picked without replacement from mxxxmxmxxm?
1/14
Four letters picked without replacement from {e: 1, y: 4, s: 3}. Give prob of sequence syes.
1/70
Four letters picked without replacement from ntdttlltltnttlttll. What is prob of sequence ttnt?
7/510
Four letters picked without replacement from {w: 2, x: 3, j: 7}. What is prob of sequence jwwj?
7/990
Two letters picked without replacement from rknnrkknrkrnrkrr. What is prob of sequence nn?
1/20
Three letters picked without replacement from {v: 1, r: 7, b: 5}. Give prob of sequence rbv.
35/1716
Calculate prob of sequence wd when two letters picked without replacement from zdqxdawa.
1/28
What is prob of sequence uu when two letters picked without replacement from {u: 3, n: 4}?
1/7
Two letters picked without replacement from {r: 5, t: 1, s: 1, a: 1, i: 3}. What is prob of sequence ra?
1/22
Four letters picked without replacement from eemmntetiteemtite. What is prob of sequence inie?
1/4760
Calculate prob of sequence rf when two letters picked without replacement from {k: 1, f: 6, r: 2, c: 3}.
1/11
Four letters picked without replacement from rurkrkuuuu. What is prob of sequence rrrk?
1/420
What is prob of sequence jjj when three letters picked without replacement from {z: 4, d: 2, a: 3, j: 6}?
4/91
Three letters picked without replacement from {b: 1, h: 3, r: 2, y: 1}. Give prob of sequence rrb.
1/105
Two letters picked without replacement from fzzzfffffz. Give prob of sequence fz.
4/15
What is prob of sequence uu when two letters picked without replacement from {x: 5, t: 2, u: 7}?
3/13
Three letters picked without replacement from {p: 10, n: 2, j: 4, r: 4}. Give prob of sequence prp.
1/19
Four letters picked without replacement from {t: 5, y: 3, w: 3}. Give prob of sequence wttt.
1/44
Two letters picked without replacement from {w: 16, g: 2}. Give prob of sequence gg.
1/153
Two letters picked without replacement from {b: 2, f: 3, u: 4, m: 1, q: 1}. What is prob of sequence qm?
1/110
Calculate prob of sequence ddd when three letters picked without replacement from {d: 6}.
1
Four letters picked without replacement from {p: 10, c: 9}. Give prob of sequence cpcc.
35/646
Calculate prob of sequence ot when two letters picked without replacement from {t: 1, k: 1, j: 1, m: 2, l: 1, o: 2}.
1/28
Three letters picked without replacement from ana. Give prob of sequence nna.
0
Calculate prob of sequence uus when three letters picked without replacement from ussuussssu.
1/10
Four letters picked without replacement from vccaicrciivcrwwvvc. Give prob of sequence vivc.
1/340
Three letters picked without replacement from xwwwwxwwwwwwxwqww. Give prob of sequence wxq.
13/1360
Calculate prob of sequence yyy when three letters picked without replacement from qqqqqqqqqyyqyyyq.
1/56
Three letters picked without replacement from pkgqc. Give prob of sequence kpc.
1/60
Three letters picked without replacement from dkkkeygyyd. Give prob of sequence ked.
1/120
What is prob of sequence uuhy when four letters picked without replacement from uuuuuwyuduuuuwuyyyh?
55/11628
Two letters picked without replacement from sgsissi. Give prob of sequence gi.
1/21
What is prob of sequence mmlo when four letters picked without replacement from {j: 2, o: 3, m: 7, l: 2, b: 4}?
7/2040
Calculate prob of sequence tb when two letters picked without replacement from bbtbbbbbbbtbb.
11/78
Four letters picked without replacement from {y: 4, b: 2, d: 2}. What is prob of sequence dbby?
1/105
Three letters picked without replacement from evkkekavkvfavkkkf. What is prob of sequence vfk?
7/510
Three letters picked without replacement from qqkqccqqqqcazqqkqqc. Give prob of sequence qqa.
55/2907
What is prob of sequence bb when two letters picked without replacement from ubuubu?
1/15
Three letters picked without replacement from modmmmgmoohhdgg. Give prob of sequence ogd.
3/455
Two letters picked without replacement from uuuuquuuuuuu. What is prob of sequence uq?
1/12
Four letters picked without replacement from hssyjzq. What is prob of sequence hqjz?
1/840
What is prob of sequence ovgp when four letters picked without replacement from cgrvpgrgcgvo?
1/1485
Three letters picked without replacement from rrrrkrrrrrrrrkrrkk. Give prob of sequence rkr.
91/612
What is prob of sequence oo when two letters picked without replacement from {o: 12, f: 3}?
22/35
Three letters picked without replacement from zzjjjjjj. Give prob of sequence jjj.
5/14
What is prob of sequence ffbx when four letters picked without replacement from fybxf?
1/60
Three letters picked without replacement from xxccqxxccc. What is prob of sequence qxx?
1/60
Calculate prob of sequence dxs when three letters picked without replacement from {x: 2, d: 2, e: 1, o: 6, s: 1}.
1/330
Calculate prob of sequence ii when two letters picked without replacement from {s: 1, w: 13, i: 3}.
3/136
What is prob of sequence gphr when four letters picked without replacement from {g: 1, r: 1, z: 1, p: 6, l: 9, h: 2}?
1/9690
Two letters picked without replacement from qfifz. Give prob of sequence ff.
1/10
Three letters picked without replacement from {k: 3, a: 3, z: 1}. Give prob of sequence zka.
3/70
What is prob of sequence scqc when four letters picked without replacement from {e: 5, m: 2, s: 1, c: 3, q: 6, j: 2}?
1/2584
Two letters picked without replacement from {l: 7, i: 2}. What is prob of sequence li?
7/36
Calculate prob of sequence xjv when three letters picked without replacement from vvxbxjxbqxxxjvxub.
7/680
Calculate prob of sequence qkq when three letters picked without replacement from {q: 8, v: 5, a: 1, k: 2, w: 1}.
7/255
What is prob of sequence at when two letters picked without replacement from tppttfta?
1/14
Four letters picked without replacement from ininniiiiiiiiinnnin. What is prob of sequence niin?
77/1292
Three letters picked without replacement from {z: 2, t: 7}. Give prob of sequence zzt.
1/36
Four letters picked without replacement from {f: 2, r: 7, a: 5}. Give prob of sequence rrrr.
5/143
Two letters picked without replacement from owwzwzwzqqzwqzwzz. Give prob of sequence zw.
21/136
Four letters picked without replacement from uuuuuuuuu. What is prob of sequence uuuu?
1
Three letters picked without replacement from {v: 1, o: 6, a: 4, n: 4, q: 2}. What is prob of sequence qqn?
1/510
Four letters picked without replacement from qqqqaqqqqaqqq. Give prob of sequence aqqq.
3/26
Calculate prob of sequence cca when three letters picked without replacement from {a: 9, c: 2}.
1/55
Two letters picked without replacement from {u: 2, g: 4, e: 1, x: 9}. What is prob of sequence ug?
1/30
What is prob of sequence cf when two letters picked without replacement from dpfpcfa?
1/21
Two letters picked without replacement from wkdkkvkvvvvdddd. What is prob of sequence kw?
2/105
Calculate prob of sequence luul when four letters picked without replacement from {l: 3, m: 2, u: 7}.
7/330
Three letters picked without replacement from {m: 1, n: 1, b: 1, v: 1, x: 1}. What is prob of sequence vxb?
1/60
Three letters picked without replacement from {j: 13, y: 3, x: 1, k: 2}. Give prob of sequence xky.
1/969
What is prob of sequence bk when two letters picked without replacement from {b: 1, l: 3, k: 2, a: 1, z: 1, o: 4}?
1/66
Calculate prob of sequence eaev when four letters picked without replacement from evvvvrvvevvvar.
3/4004
What is prob of sequence kkk when three letters picked without replacement from yyyyykyykyyyky?
1/364
What is prob of sequence rp when two letters picked without replacement from {r: 3, i: 4, z: 1, o: 2, p: 9}?
3/38
Calculate prob of sequence cs when two letters picked without replacement from {z: 1, d: 1, c: 2, s: 1}.
1/10
Four letters picked without replacement from {y: 8, s: 1, h: 11}. Give prob of sequence hyhs.
22/2907
Three letters picked without
|
{
"pile_set_name": "DM Mathematics"
}
|
*k**4 - 4*k**2 + k**2 + c*k**3 + 5*k**2 + 128*k**5.
2*k**2*(4*k + 1)**3
Let z(q) be the second derivative of 0 + q + 1/12*q**3 - 1/40*q**5 + 0*q**4 + 0*q**2. Solve z(j) = 0.
-1, 0, 1
Let u = -1 + 6. Determine b, given that -19*b**4 + 18*b**4 - 1 + u*b + 2*b**2 - 5*b = 0.
-1, 1
Let o(k) be the third derivative of k**8/6720 + k**7/2520 - k**5/60 + 2*k**2. Let d(p) be the third derivative of o(p). Factor d(g).
g*(3*g + 2)
Let b(q) = q**2 + 5*q + 1. Let z be b(-2). Let i(r) = r + 5. Let f be i(z). Factor -2/7*h - 2/7*h**4 + 2/7*h**3 + f + 2/7*h**2.
-2*h*(h - 1)**2*(h + 1)/7
Let t be (-40)/(-5 - 0) + 4. Let u be 34/8 + (-2)/8. Factor -6*r + t - 11 + u*r**2 + r.
(r - 1)*(4*r - 1)
Let l(h) be the third derivative of h**7/1260 + h**6/120 - 3*h**4/8 - 9*h**3/4 + 3*h**2 + 6*h. Find g, given that l(g) = 0.
-3, 3
Factor 10*n**2 + 10*n**3 - 39 - 2*n - 5*n**4 + 34 - 5*n**5 - 2*n - n.
-5*(n - 1)**2*(n + 1)**3
Let w(q) be the second derivative of -3/2*q**4 - 9*q - 48*q**2 - 3/40*q**5 - 12*q**3 + 0. Suppose w(m) = 0. What is m?
-4
Let u(v) be the second derivative of -v**4/20 + v**3 - 15*v**2/2 - 5*v. Factor u(t).
-3*(t - 5)**2/5
Let p = 561/4 + -140. Determine f, given that -1/4*f**3 - 1/4*f**2 + p + 1/4*f = 0.
-1, 1
Let j(a) be the third derivative of a**8/448 + a**7/140 - a**6/160 - a**5/40 + 19*a**2. Determine n, given that j(n) = 0.
-2, -1, 0, 1
Let t(h) be the third derivative of 2*h**7/315 + 2*h**6/45 + 2*h**5/15 + 2*h**4/9 + 2*h**3/9 + 6*h**2. Let t(u) = 0. Calculate u.
-1
Let g(t) be the second derivative of -t**7/21 - 7*t**6/30 - 9*t**5/20 - 5*t**4/12 - t**3/6 + t. Let g(q) = 0. Calculate q.
-1, -1/2, 0
Let m(a) = -a**4 - a**3 + 1. Let r(q) = q**4 + 11*q**3 + 15*q**2 + 5*q + 4. Let u(c) = 4*m(c) - r(c). Determine j so that u(j) = 0.
-1, 0
Let y = -11 - -14. Factor 3*d**4 + y*d**3 - d**3 - 7*d**4 + 2*d**5.
2*d**3*(d - 1)**2
Let r = 4/153 - 29/3060. Let w(n) be the second derivative of r*n**6 + 0 + n + 1/40*n**5 + 0*n**2 + 0*n**4 + 0*n**3 - 1/42*n**7. Find t, given that w(t) = 0.
-1/2, 0, 1
Let s(m) = -12*m**4 + 21*m**3 + 21*m**2 - 21*m - 9. Let r(p) = -3*p**4 + 5*p**3 + 5*p**2 - 5*p - 2. Let y(d) = -9*r(d) + 2*s(d). Factor y(b).
3*b*(b - 1)**2*(b + 1)
Let p(u) be the third derivative of -u**8/13440 - u**7/2520 + u**6/1440 + u**5/120 + u**4/6 - 4*u**2. Let r(c) be the second derivative of p(c). Factor r(a).
-(a - 1)*(a + 1)*(a + 2)/2
Let p = -2 + 5. Let a be p*1*20/30. Factor 1/2*b + 1/4 - 7/4*b**a + b**3.
(b - 1)**2*(4*b + 1)/4
Suppose -2/7*w**3 + 2/7*w - 2/7*w**2 + 2/7 = 0. What is w?
-1, 1
Let g = -4 - -6. Let b(a) be the first derivative of 1 + 1/4*a**4 + 0*a**g + 1/3*a**3 + 0*a. Factor b(i).
i**2*(i + 1)
Let t(k) = -k**2 + 2*k + 2. Let i be t(3). Let j be (-228)/(-66) + 2/i. Factor j*u + 12/11*u**3 - 2/11*u**4 - 24/11*u**2 + 0.
-2*u*(u - 2)**3/11
Determine w, given that 22*w + 0*w**2 - 21*w + 12 - w**2 = 0.
-3, 4
Let m = -1 - 2. Let i be (-2 - m)*(0 - -2). Factor -8/5*k**3 + 0 + 7/5*k**i - 2/5*k + 3/5*k**4.
k*(k - 1)**2*(3*k - 2)/5
Let i(u) be the first derivative of -1/3*u**3 + 1 - 1/9*u**5 + 0*u**2 + 0*u - 5/108*u**6 - 1/9*u**4. Let p(k) be the third derivative of i(k). Factor p(n).
-2*(5*n + 2)**2/3
Let x be (-6)/168 + (1 - 10/14). Let -1/4*u**4 - 1/2 + 3/4*u**2 - x*u + 1/4*u**3 = 0. Calculate u.
-1, 1, 2
Let 1/2*t**4 - 1/2*t**5 + 1/2*t**3 - 1/2*t**2 + 0 + 0*t = 0. Calculate t.
-1, 0, 1
Let p(t) be the first derivative of -t**4/102 + t**3/17 - 2*t**2/17 - 7*t + 7. Let y(b) be the first derivative of p(b). Suppose y(z) = 0. Calculate z.
1, 2
Let o(j) = -j**2 + 3*j - 4. Let r(x) = -x**2 + x + 1. Let p(k) = -8*k**2 + 14*k - 9. Let m(d) = p(d) - 4*r(d). Let f(g) = -2*m(g) + 7*o(g). Factor f(c).
(c - 1)*(c + 2)
Let l be (-7)/(-6)*128/224. What is g in -4/3*g**3 - l*g**4 + 0 + 0*g - 2/3*g**2 = 0?
-1, 0
Suppose -4*a = 4 - 16. Suppose 2*s = d + 7 + 5, 12 = -a*d. Factor 4*t**3 + 0*t - 2*t**5 - 4*t**4 - 2*t + 4*t**s.
-2*t*(t - 1)**2*(t + 1)**2
Let z be -1 + 1 + 20/14. Factor 8/7 + z*y**2 + 2/7*y**3 + 16/7*y.
2*(y + 1)*(y + 2)**2/7
Let c be (1/(12/8))/(48/2). Let i(m) be the second derivative of -c*m**4 + 1/3*m**2 + 2*m + 1/18*m**3 + 0. Factor i(r).
-(r - 2)*(r + 1)/3
Factor -22*w - 14*w**3 + 9*w**4 - 14*w**4 + 7*w**4 - 18*w + 36*w**2 + 16.
2*(w - 2)**3*(w - 1)
Let q(g) be the second derivative of g**4/10 + 2*g**3/15 - g. Factor q(a).
2*a*(3*a + 2)/5
Let f(t) be the third derivative of 0*t + 0*t**3 - 1/60*t**4 - 1/150*t**5 + 4*t**2 + 0. Factor f(p).
-2*p*(p + 1)/5
Let h(t) be the third derivative of -1/75*t**5 + 1/840*t**8 + 0*t + 1/60*t**4 + 1/525*t**7 - 2*t**2 + 1/15*t**3 - 1/150*t**6 + 0. Factor h(p).
2*(p - 1)**2*(p + 1)**3/5
Let w(z) be the first derivative of z**5/120 - z**3/12 - z**2/2 - 1. Let k(s) be the second derivative of w(s). Find j, given that k(j) = 0.
-1, 1
Let g = 628/7449 + -639603/449423. Let j = -1/181 - g. Suppose 2/3*q**2 + j*q + 2/3 = 0. Calculate q.
-1
Let x = -774/19 - -42. Let k = -39/76 + x. Determine n so that 0*n + 0 - 3/2*n**3 - 3/4*n**4 - k*n**2 = 0.
-1, 0
Suppose 0 = -4*g + 4*w - 4, 0 = -5*w - 5 + 15. Suppose -4*l + 3*p = g, 3*p = -3*l - l + 17. Let -3*r**2 + 4*r**2 + r**2 + 2*r - 3*r**l = 0. What is r?
0, 2
Let l = 7 - 5. Factor -3*q**l - q**2 - 2*q**5 + 2*q**2 + 2*q**3 + 2*q**4.
-2*q**2*(q - 1)**2*(q + 1)
Let r(j) = -4*j**2 - 3*j - 4*j + 3*j**2 + 4. Let d be r(-7). Suppose 8*o**3 - 12*o**2 - 2*o**3 - 8*o + 4*o**2 - 2*o**5 + d*o**4 = 0. Calculate o.
-1, 0, 2
Suppose 0 = 2*v + 7*v - 45. Let n(b) be the second derivative of 1/15*b**v + 0*b**4 + 0 + 1/45*b**6 - 2/9*b**3 - 1/3*b**2 + b. Factor n(u).
2*(u - 1)*(u + 1)**3/3
Let t(p) be the second derivative of p**9/1512 + p**8/525 + p**7/2100 - p**6/450 + p**3 - 4*p. Let j(d) be the second derivative of t(d). Factor j(b).
2*b**2*(b + 1)**2*(5*b - 2)/5
Let z(q) = -10*q**4 - 14*q**3 + 66*q**2 + 41*q - 19. Let d(b) = -21*b**4 - 27*b**3 + 132*b**2 + 81*b - 39. Let g(x) = 5*d(x) - 9*z(x). Solve g(n) = 0.
-2, -1, 2/5, 2
Let s(t) be the third derivative of -2*t**7/525 + t**6/150 + 2*t**5/75 + 20*t**2. Factor s(w).
-4*w**2*(w - 2)*(w + 1)/5
Let k(o) be the third derivative of o**7/105 + o**6/10 + o**5/30 - 2*o**4 + 16*o**3/3 + 10*o**2. Suppose k(j) = 0. Calculate j.
-4, 1
Let u(s) be the second derivative of 0*s**3 + 1/6*s**2 + 2*s + 0 - 1/36*s**4. Factor u(d).
-(d - 1)*(d + 1)/3
Let y(b) be the first derivative of -b**3/7 - 9*b**2/7 - 24*b/7 - 20. Find h, given that y(h) = 0.
-4, -2
Let s = 8/5 - 43/30. Determine y so that s*y - 1/6 + 1/6*y**2 - 1/6*y**3 = 0.
-1, 1
Let p be 138/(1 + (1 - 1)). Let a be (p/8)/(5/40). Let -10*j + 6*j**3 + 2*j - 98*j**5 + 5*j**2 - 2*j**4 - a*j**4 + 35*j**2 = 0. Calculate j.
-1, 0, 2/7
Let p(d) be the second derivative of d**7/168 - d**6/60 - 14*d. Let p(x) = 0. Calculate x.
0, 2
Suppose -5*q - 5*z + 5 = 0, -4*z = 2*q - 1 + 3. Let f(j) be the second derivative of -1/4*j**4 - 2*j - 1/2*j**3 + q*j**2 + 0. Factor f(h).
-3*(h - 1)*(h + 2)
Let d(p) be the second derivative of p**6/1080 + p**5/90 + p**4/18 - p**3/6 + 3*p. Let i(o) be the second derivative of d(o). What is t in i(t) = 0?
-2
Suppose 8 = 7*s - 5*s. Let x(c) be the second derivative of -2*c + 3/8*c**2 + 3/8*c**s - 1/2*c**3 + 0 + 1/40*c**6 - 3/20*c**5. Factor x(h).
3*(h - 1)**4/4
Let -12/5*w**3 + 3/5 - 12/5*w + 3/5*w**4 + 18/5*w**2 = 0. What is w?
1
Suppose 29*y = 25*y. Find b such that y*b**2 + 0 + 0*b - 6/5*b**4 + 3/5*b**5 + 3/5*b**3 = 0.
0, 1
Let f(h) be the third derivative of -7*h**6/1620 - h**5/45 + h**4/27 + h**3/6 - h**2. Let g(o) be the first derivative of f(o). Find v, given that g(v) = 0.
-2, 2/7
Let t(a) be the first derivative of -2/5*a**3 + 8/5*a + 2/25*a**5 - 4/5*a**2 + 1/5*a**4 - 2. Factor t(q).
2*(q - 1)**2*(q + 2)**2/5
Suppose 15 + 9 = 3*c. Let p = 13 - c. Factor q**p - 5*q**3 + 0*q**3 + 4*q**3.
q**3*(q - 1)*(q + 1)
Let h(p) be the third derivative of -4*p**7/105 - 3*p**6/10 - 7*p**5/15 + p**4 + 35*p**2. Find j, given that h(j) = 0.
-3, -2, 0, 1/2
Let n = 4 + -2. Solve 18 - c**3 - 18 + c**4 + c - c**n = 0 for c.
-1, 0, 1
Let s(w) = -w**2 + w - 2. Let m be s(2). Let x = 7 + m. Let -2/5*k**x + 0*k + 2/5*k**4 + 2/5*k**5 + 0 - 2/5*k**2 = 0. What is k?
-1, 0, 1
Factor 100*u**4 + u**4 + 112*u**3 + 32*u**2 + 15*u**5 - 13*u**4 + 5*u**5.
4*u**2*(u + 2)**2*(5*u + 2)
Solve 2/9*k**2 + 0 +
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{
"pile_set_name": "DM Mathematics"
}
|
Which is greater: 6 or z?
6
Let d = 7660/917 - 117/14. Let f = d + -3655/3406. Which is smaller: 0 or f?
f
Let u = -1050082560402124292/30555 + 309302762795338/9. Let i = 73147308/7 - u. Let y = i + -2/679. Does y = -1?
False
Let x be 8/2 - (-1 - 0). Suppose 8 = o + 4*u, -3*o + 8 = -4*u - 0*u. Is o smaller than x?
True
Let p be (182/4)/(-1) + 5. Which is smaller: -40 or p?
p
Let a(h) = -25*h + 226. Let w be a(6). Do 81 and w have different values?
True
Let i = 0.54 + 0.06. Let q = -0.41 + -0.09. Let o = i + q. Are o and -7 equal?
False
Let n(k) = -k**3 + 7*k**2 + 2*k - 9. Let r be n(7). Suppose -3*g - 45 = 5*t, 0 = r*g + 5*t + 22 + 43. Is g not equal to -12?
True
Let b be ((-88)/12)/((-4)/18). Let m = 51 - b. Is 17 greater than m?
False
Let q = 618 + -6804/11. Let y = 1.06 - 0.06. Are y and q non-equal?
True
Let h be 2604/(-1617) + 4/22. Let u = h + 5/28. Is u greater than or equal to -3?
True
Let q = -1.1 - -2.4. Let n = 4.1 + -5.4. Let o = n + q. Is o at least -0.2?
True
Let i be 14/6 + (-6)/12*2. Suppose -2*v - 8 = -v - 3*o, -7 = -4*v - o. Are v and i equal?
False
Suppose -5*a = -4*c + 10, -3*c + 4*a + 5 = -a. Suppose -c = 4*g - 17. Let r be 0 - -4 - (0 + g). Is r less than or equal to 1?
True
Let z = 21280 - 1979014/93. Which is smaller: z or 0?
0
Let a = 18 + -18. Let c = a - -3. Let n be 24/(-1) - (2 - c). Is n at least as big as -23?
True
Let c = -57 + 58. Let p be c/((-158)/6 + -1). Which is bigger: p or 0?
0
Let i(t) = t + 3. Let o be i(-3). Suppose o*w = 4*f + w + 15, -20 = 4*f - 4*w. Is 2 < f?
False
Suppose 2*r + 2*r = -60. Let u be ((-10)/r - 1)/1. Suppose -2*i = 2*i. Which is smaller: u or i?
u
Suppose 0 = -2*a + 4*j, -a - 2*j + 12 = -4*a. Let l be 9/(-27) - (-4)/a. Is -1/16 <= l?
False
Let w(k) = k**2 + 4*k - 8. Let s be w(-6). Suppose 4*t + s*r - 36 = t, t - 12 = -5*r. Let y(p) = -p**2 - 22*p - 7. Let q be y(-21). Which is bigger: q or t?
q
Let l = 40 - 35. Suppose -4*i = -l*i - 3*i. Is 2/15 smaller than i?
False
Let n = -1 + -0.5. Let k = 206 + -207.6. Let v = n - k. Which is smaller: v or -1?
-1
Let m be (1 + -22)*(-2)/6. Suppose 4*g + 328 = 2*f, 0 = -g + 4*f - 5*f - 76. Let o = g + 89. Is m less than or equal to o?
True
Let i = 0.02 - -0.28. Let u = -1 - -2. Which is bigger: u or i?
u
Let f = -256153/21 - -12201. Let t = -1569 - -11022/7. Let y = t - f. Are 3 and y non-equal?
True
Let q = 5447/7 - 778. Which is smaller: q or -15?
-15
Let o = 16 + -28. Let b be (1/2)/((-2)/o). Suppose -b - 16 = q + 4*g, -2*q - 8 = 2*g. Which is smaller: q or 3/7?
3/7
Let o(r) = 18*r - 67. Let m be o(4). Is m bigger than 1?
True
Suppose 4*a + 5838 = -2*w + 4*w, -3*a + 5*w = 4389. Which is greater: -1459 or a?
a
Suppose -3*l = 4*k - 8*l + 17, -5*l = 3*k + 4. Is 56 equal to k?
False
Let z = -20.09 - -20. Let h = 34.19 - 34. Let r = h + z. Which is greater: 0.4 or r?
0.4
Let u = 303 + -301. Which is smaller: 0.11 or u?
0.11
Let z be 0/(-1 - (1 - 3)) - -1. Let p be 2/10 + (-1443)/15. Let r be 3*z + 272/p. Which is bigger: -1 or r?
r
Let h be (2/4)/((-1)/56). Let o = h - -23. Which is smaller: o or -6?
-6
Let x = -40.584 - -40.5. Which is bigger: -4/9 or x?
x
Let i = -19/20 + 71/76. Which is bigger: i or 1?
1
Let z = -125.3 - 17.7. Let l = -144 - z. Which is greater: 1.1 or l?
1.1
Suppose -2*v = -5*v - 21. Let q = v + 69/10. Let h(t) = -t**3 - 18*t**2 + 20*t + 18. Let u be h(-19). Which is greater: q or u?
q
Suppose 0 = -2*i - 2*d + 59 - 61, 4*d = -2*i - 2. Is -9/56 greater than or equal to i?
True
Let s be 1/((-249)/(-62) + -4). Which is smaller: s or 61?
61
Let i = 63 - 61. Suppose -2*c + 3*q = -37 + 6, -5*q + 15 = 5*c. Which is bigger: i or c?
c
Let l = 0.02 - -0.88. Let c = -3.9 + l. Which is smaller: 4 or c?
c
Let s = -0.45 - -4.45. Is 19 at least as big as s?
True
Let u(w) = 13*w - 8. Suppose 0 = -5*y + 2*y + 24. Let r be u(y). Let q be 56/r - (-2)/(-6). Which is greater: q or 8?
8
Let r = -141 - -217. Suppose 0 = 2*s - 2*n - n - 24, n - r = -4*s. Suppose -3*y - 5*l = -52, -y + 17 = -0*y + 2*l. Is s at most as big as y?
True
Suppose f + 61 = 3*v - 3*f, 0 = 5*v + 4*f - 59. Suppose 2*d = 3*d + 15. Let y = v + d. Is 1/8 at most y?
False
Let q = 30 - 26. Suppose -q*g = 2*y - 3*y - 19, -5*g = -y - 14. Let v = 157/4 + y. Which is smaller: -7 or v?
-7
Suppose 3*r = -g - 21, 2*g + 37 = 4*r - 5*r. Suppose 4*a = 30 + 42. Let n = g + a. Which is bigger: -5/6 or n?
n
Let g = 18 + -20. Suppose 0 = 7*j + 13 + 22. Which is smaller: j or g?
j
Let l = -7.02 + 12.6. Let a = -1.66 + l. Let g = a + 0.08. Which is smaller: g or -3?
-3
Let u = -3107.3 + 3107. Let h = -1 + 0.96. Let d = 2.04 + h. Which is smaller: d or u?
u
Let k = 12 - 11.476. Let r = k + 0.076. Which is bigger: r or 4/11?
r
Suppose -21 = -12*r + 15. Suppose m + r*i = 3*m + 7, -53 = 3*m + 4*i. Which is bigger: m or 3?
3
Let w be 1 + 76/20 - (-3)/15. Suppose 0 = -4*u - w*b + 16, 10*b = 2*u + 5*b + 22. Which is greater: -4/15 or u?
-4/15
Let y be (-36)/(-7722)*6/(-4). Are y and 1 equal?
False
Let j be (-18)/(-81) - (-75)/27. Let u be j + 1 + (3 - 6). Let r be ((-1)/(-6))/(u/(-5)). Is 0 smaller than r?
False
Let d = -90 + 90. Which is smaller: 4/13 or d?
d
Suppose 0 = 21*z + 6*z + 11205. Is -413 at most z?
False
Let p be 38/3 - 2/3. Let o = p - 41. Let n = o - -28. Which is smaller: n or -15/7?
-15/7
Let i(s) = -4*s - 9. Let j be i(-3). Is -0.15 at most as big as j?
True
Let x = 0.0241 + -1.4441. Is 2/3 greater than x?
True
Let i(j) = -7*j - 13. Let a be i(4). Let l = a + 41. Which is smaller: 4/5 or l?
l
Suppose 124 = -3*c + 10. Let v = -23 - c. Let r = -14 + v. Is 8/5 at least as big as r?
True
Let t be (11/(99/(-42)))/((-4)/6). Let w be 22 - 19 - (78/t)/3. Which is smaller: w or -1?
-1
Let r(x) = -3*x - 15. Let v be 1 - ((-456)/40 + 2/5). Let q be r(v). Is -51 less than or equal to q?
True
Let m be 7/(28*(-9)/(-72)). Does m = -32?
False
Let r = -10 - -11. Let m be (-6 + 4)/(-1*r). Let g = -1 + 0. Which is bigger: m or g?
m
Let f be ((-6)/(-3))/(-4) - 232/(-80). Is f < 1?
False
Suppose 3 - 13 = -y. Let i = 10 - y. Suppose 8*u - 5*u = i. Is -2 at most u?
True
Let l be (1723/(-3))/((-2)/6). Let c be -4 + l/14*2. Let a = c - 241. Which is greater: 2 or a?
2
Let m = 1181/668 - 3/167. Suppose -11*l = -16*l + 15. Which is greater: l or m?
l
Let k(d) = -d**3 - 2*d**2 + 3*d. Let m be k(-3). Suppose m*t + 18 = 3*t. Which is greater: t or 8?
8
Suppose -5*u + 3*u = -6. Suppose 5 = u*x - 4. Suppose 2 - 5 = -3*n. Are n and x unequal?
True
Let g = -2089 + 1800. Are g and 0.2 nonequal?
True
Let l = -0.421 - -247.421. Are 1 and l equal?
False
Let x = -2501 + 42529/17. Suppose 2 = 2*a - 0. Which is greater: a or x?
a
Suppose 4*g = g - 6. Suppose 4*u + 2*h = -16 + 58, 3*h = u + 7. Suppose 1 = u*v + 33. Is g at least as big as v?
True
Let t = 31 + -44. Let v = -12.7 - t. Suppose -2*l - 1 = -a, 1 = -5*a + 2*l - 2. Is a >= v?
False
Let p be -2 - -3 - (5 + -1). Let r(f) = f**3 + 2*f**2 - 2*f + 3. Let w be r(p). Suppose -3*n + 6*n - 3 = w. Is -3/19 less than or equal to n?
True
Suppose -9*i = -8*i - 70. Let r be (-6)/(-90)*i/(-8). Which is smaller: -2 or r?
-2
Let k be 2/22*-185 - 4/22. Is -17 >= k?
True
Let n = -41.6 + 41.6. Is n less than or equal to 73?
True
Let a = 100 - 99.11. Let i = a + 0.11. Let z = -4 + i. Is -0.1 < z?
False
Let n = 58/8123 - -253162/5499271. Let h = -163164/12863 + n. Let g = h + 3783/304. Is g greater than -1?
True
Let a = 2671/5 - 21959/45. Which is smaller: a or 45?
45
Let t = 54.08 + -54.1. Is -1 != t?
True
Let l be 2 - (-1 - -2)/((-4)/(-20)). Is l at least 4?
False
Suppose 5*g - 25 = p, -g + 0*g - 5*p + 31 = 0. Suppose b - 3*j = -9, -j - g = 2*b - 3*j. Suppose 3*o - o + 10 = b. Is o greater than -5?
False
Let q(s) = 14*s + 12. Let k be q(9). Suppose 4*v = 5*w + 205, 0 = 4*w - 11*v + 13*v + k. Is -37 > w?
False
Suppose -6 = u + 2*a, -2*u + 4*u - 3*a - 9 = 0. Let c be 3 + 318/315*-3. Which is greater: c or u?
u
Let i be 4*(-4)/(-96)*4. Let k(u) = u**2 - 5. Let a be k(3). Let b be 0/(-3 - (-16)/a). Is i less than b?
False
Let t be 0*((-2)/5 + 2/(-20)). Suppose 0 = 4*j + 5*v + 94, 3*v + 53 = -2*j + 5. Let y be (-22)/126 - 6/j. Are t and y non-equal?
True
Let z = -60 + -50. Let u = z - -772/7. Is 8/19 at least u?
True
Let m = -39 - -79/2. Let y be (8/(-6))/((-2)/6). Let t be (6/16)/((-6)/y)
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{
"pile_set_name": "DM Mathematics"
}
|
t n be k(c). Suppose 2*b = 179 - n. Does 31 divide b?
False
Let t(h) = -1460*h - 360. Is t(-23) a multiple of 10?
True
Let y(s) = 9*s**2 - 27*s + 173. Does 2 divide y(14)?
False
Suppose -2*g - 4*k + 526 = 0, -5*g - 7*k = -2*k - 1325. Suppose g = z + 39. Does 38 divide z?
True
Let m(f) = 909 - 910 + 13*f + 49*f. Let z(k) = k + 1. Let j(x) = m(x) + 2*z(x). Does 17 divide j(5)?
False
Let m be (-10239)/12 - ((-35)/20)/7. Let c = m + 1303. Is 25 a factor of c?
True
Let a(w) = 19*w - 2. Let x be a(5). Suppose 72*i - 74*i + 2*k = 110, 0 = 3*i - 4*k + 164. Let p = x + i. Does 23 divide p?
False
Let s(p) = p**3 + 22*p**2 + 19*p + 16. Let u be s(-21). Let c = 14 - -37. Let h = u - c. Does 2 divide h?
False
Let c = 1468 + -1083. Is c a multiple of 2?
False
Suppose 92*m = -62*m + 85692 + 101726. Is 159 a factor of m?
False
Suppose 27*c = 1315 + 11591. Suppose -10*y + 2388 - c = 0. Is 20 a factor of y?
False
Let p = -20 + 25. Let b be 57/(-18) + p + 1/6. Suppose -40 = -b*h - 2*w, 4*h - w - 3*w = 88. Is h a multiple of 15?
False
Suppose -a - 34 - 37 = -2*o, -3*o + 3*a + 114 = 0. Suppose 5411 + 4951 = o*u. Is u a multiple of 23?
False
Let o(i) = -i**2 - 30*i + 69. Let j be o(-32). Suppose 5*h - 885 = -j*r, 9*r - 5*r - 693 = -h. Is r a multiple of 7?
False
Let m = -375 - -1143. Suppose 18*q = -6*q + m. Is q a multiple of 16?
True
Let g(t) = 270*t + 2018. Is 68 a factor of g(23)?
True
Let h(o) = 20*o**2 + 123 - 55 - 62 + 4*o. Let z be h(-2). Let q = z - 68. Is q a multiple of 5?
True
Suppose -454217 = -8*x + 77695. Does 37 divide x?
True
Let c(s) = 4*s**2 - 12*s + 2. Let b be c(7). Let t be 96/18*1/(4/b). Let l = t - 100. Does 17 divide l?
False
Let t be 11*40/990 + (-712)/(-18). Suppose 0 = t*s - 42*s + 2916. Does 54 divide s?
True
Let m(o) = o**3 + 13*o**2 + 10*o - 1. Let f be m(-1). Does 11 divide f/((-6)/((-5724)/1914) - 2)?
False
Is 3*(-35)/7 - -28747 a multiple of 44?
True
Let o = -14389 + 18351. Does 7 divide o?
True
Let b = 16 - 30. Suppose 5*h - 2*f = -333 + 35, h = -4*f - 64. Let s = b - h. Does 5 divide s?
False
Let k(y) = -12 - 87 - 2*y - 4*y**2 + y**2 + 4*y**2. Let a be k(0). Let o = a + 218. Does 15 divide o?
False
Let s = -9768 + 14069. Is s a multiple of 36?
False
Suppose -3*x = 2*w - 4252, 16*x + 2123 = w + 17*x. Is w a multiple of 73?
True
Suppose b = -l + 2336, 419 = 11*l - 4*b - 25382. Is l a multiple of 3?
True
Suppose 5171 = 4*d - d - 235. Is 20 a factor of d?
False
Suppose -3*s = -5*s. Let r be ((s - -3) + -2)*2. Suppose -23 = -r*h - u + 72, -5*h + 270 = -4*u. Does 12 divide h?
False
Suppose -123*m = -113*m + 3370. Let b = 1009 + m. Does 16 divide b?
True
Suppose -54*u + 65*u - 75372 = 0. Is u a multiple of 23?
False
Suppose -12 = 2*i - 4*s - 240, 4*s + 436 = 4*i. Suppose -100*d = -i*d + 176. Is 11 a factor of d?
True
Suppose 41*c - 118 + 36 = 0. Let t be ((-38)/1)/(2/2). Is 14 - t - 6/c a multiple of 3?
False
Let x(i) = -3 + 4*i**2 - 1127*i + 1125*i + 87*i**3 + 1. Let o be x(2). Let r = -466 + o. Is r a multiple of 24?
True
Suppose -341 - 1574 = -w - 5*a, 3842 = 2*w - 2*a. Is 36 a factor of w?
False
Let o be 1460/25 - (-6)/(-15). Let k = o - 54. Is 1 + 37/2*(2 + k) a multiple of 10?
False
Suppose 0 = 148*h - 509314 - 203898. Does 142 divide h?
False
Suppose 185*f + 4840560 = 401*f. Is f a multiple of 54?
True
Let d(m) = 4758*m**2 + 12*m - 18. Let z be d(3). Is 79 a factor of z/45 + -4*(3 - 2)?
True
Is 40 a factor of 5/((-40)/(-13724)) + 4 - 9/(-18)?
True
Suppose 24019 - 56196 = -16*w + 41919. Is 28 a factor of w?
False
Suppose -42 = 47*x - 54*x. Suppose 4*w = -9*g + x*g + 1431, -2*w = 0. Is g a multiple of 21?
False
Suppose 3*f + 177 = 2*f - 2*c, 4*f + 658 = 2*c. Let a = f - -230. Is 8 a factor of a?
False
Suppose 0 = -5*k + 5*h + 158 + 107, 0 = -3*k + 4*h + 157. Suppose 4*l = -4, 5*p = l - k - 244. Is 7 a factor of (p/8)/((-3)/18)?
False
Let s = 330 + -296. Is 20/170 - (-18016)/s a multiple of 53?
True
Suppose -4*i = 4, i - 88 = -5*n - 224. Let s be 12/(-72) + (-13)/(-6). Is (-16)/20 - (n/15 - s) a multiple of 2?
False
Suppose -83*h + 88*h = 5855. Does 140 divide h?
False
Let z(x) = 6*x**2. Let v be z(1). Let b be (-401)/3 + -2*(-2)/v. Let m = b + 221. Is 11 a factor of m?
True
Let l = -496 + 562. Let q = l + 61. Is q a multiple of 2?
False
Let u = -22227 + 23185. Is 86 a factor of u?
False
Let f = 100 - 54. Is 12 a factor of f - (3/(-12) + 65/20)?
False
Let y = 34335 - 20793. Does 111 divide y?
True
Suppose -3*r - 54 = -5*r. Is (4/3)/(6/r) - -2 a multiple of 5?
False
Let j be 1/((-155012)/25836 - -6). Suppose -p = -4*k + j, -k + 8*p + 143 = -1464. Does 17 divide k?
True
Let z = 8405 + -4998. Does 32 divide z?
False
Let i(v) = 20*v - 48. Let y be i(25). Let r = y + 16. Is r a multiple of 13?
True
Let y = -32 - -34. Suppose -4*a + 2 = -5*s + 21, -y*s = 5*a - 1. Suppose 4*i + 16 = 0, 6*w - i - 217 = s*w. Does 16 divide w?
False
Let t = -7305 - -12064. Is t a multiple of 29?
False
Let s be 14/(-147)*9*-7. Does 5 divide 175 + (s + -7)/((-1)/(-4))?
False
Suppose 79 + 971 = 2*t. Suppose 0 = -3*d - t + 1497. Suppose -d = -7*l - 72. Is 12 a factor of l?
True
Suppose -6*r = -198 - 108. Suppose z - 5*u - r = -u, 2*z - 4*u = 82. Is 4 a factor of z?
False
Suppose 0 = 16*h - 54780 + 3612. Does 35 divide h?
False
Suppose 0 = 3*b - b - 6. Let u be (-20)/4 - (-381)/b. Let s = u + -86. Is s a multiple of 4?
True
Let d(x) = -x**3 - 38*x**2 + 37*x - 64. Does 44 divide d(-40)?
False
Is 9/(135/40)*(-5)/((-20)/12708) a multiple of 9?
False
Let y be 0 - 8/(32/(-28)). Let v(f) = 0*f**2 - f + 2*f**2 + 4*f - 1 + f. Does 14 divide v(y)?
False
Let i = -227 - -509. Let y = -130 + i. Is y a multiple of 12?
False
Suppose 2*j - 2726 = 298. Is j a multiple of 28?
True
Let m = -279 - -282. Suppose 5*s + m*q - 789 = 0, -4*q + 7*q = -4*s + 633. Does 3 divide s?
True
Let i(v) = v**3 - 15*v**2 + 16*v - 20. Let w be i(14). Suppose -w*m = -15*m + 175. Is 15 a factor of 2/5 + (3285/m)/9?
True
Let g(s) = 5*s**3 - s**2 + 13*s - 68. Let q(t) = -14*t**3 + 4*t**2 - 40*t + 204. Let m(r) = 11*g(r) + 4*q(r). Is 8 a factor of m(4)?
True
Let g(o) = 12*o**2 + 4*o + 3. Let b be g(-5). Let k = 767 - b. Is k a multiple of 22?
True
Let h be 2/(-1)*3/(-2). Let t be (-5 - (h - 8))/(-1). Suppose -5 + 30 = 5*d, t = -4*j - d + 197. Is 10 a factor of j?
False
Let j(l) = 528*l**3 + 3*l**2 + 3*l + 4. Is j(2) a multiple of 22?
True
Suppose 7*f + 8 = 11*f. Suppose -m - 20 + 5 = -4*r, 0 = -f*m - r - 66. Let i = -18 - m. Is 13 a factor of i?
True
Suppose 550*z + 9272692 = 28307092. Is 84 a factor of z?
True
Is 7 a factor of 111514/18 + (106/(-2862))/((-2)/(-12))?
True
Let y(o) = 312*o**2 + 22*o - 105. Is 35 a factor of y(5)?
True
Let w = -114 - -120. Let u = w - -49. Is 10 a factor of u?
False
Suppose 6*u - 2*u + d = 21, 0 = -5*u + 2*d + 10. Suppose u*y - 370 = -5*g + 535, -3*y + 705 = -5*g. Does 46 divide y?
True
Suppose -3*i = 3*w + 218 - 3242, -5044 = -5*i - 3*w. Is i a multiple of 5?
True
Let k(z) = z**3 - z**2 + 3*z - 1. Let y be (-5)/3*(-3)/1. Suppose 4*h - h - y*c - 1 = 0, -4*h = -3*c - 5. Does 3 divide k(h)?
True
Suppose -2*f - 3*v = 2 - 0, 12 = -f + 4*v. Let z be f/(-2) - 576/(-12). Suppose p - 4*y = 80, -z - 30 = -p + y. Is 19 a factor of p?
False
Let o(x) = -3 + 28*x - 1 + x**2 - 17*x. Let j be o(-5). Let f = 50 - j. Is f a multiple of 21?
True
Suppose -26*s + 37*s = 0. Is ((-6)/(-4))/(123/16072) + s a multiple of 4?
True
Suppose 10*n + 40 = 18*n. Suppose 7*p + 527 = 3*w + 3*p, 5*p = n. Is w a multiple of 9?
False
Suppose 549256 = 255*x - 184*x. Does 29 divide x?
False
Let n be (0 - 136/(-36)) + (-2)/(-9). Suppose 2*i = -n, -3*s + 2*i - 37 = 4*i. Does 27 divide 45/(-2)*(s/5 - -1)?
True
Suppose -37*z + 242123 + 85211 = -341515. Does 13 divide z?
False
Let q = 10210 + 4478. Is q a multiple of 32?
True
Let x be 1*(12/(-18) - (-50)/3). Suppose -x*j + 2662 = -5*j. Suppose m + 135 = 4*m - 4*g, g + j = 5*m. Does 5 divide m?
False
Let f(c) = 1452*c + 1062. Is 21 a factor of f(3)?
True
Let p(g) = 988*g - 10104. Is 136 a factor of p(20)?
True
Suppose 18 = -5*h + 14*h. Suppose -h*n + 395 = -2*q - 1213, -2*n + 1596 = q. Does 62 divide n?
False
Let x(g) = -g**3 - 10*g**2 - 13*g - 30. Let y be x(-9). Let u(r) = 13 + 10 + 4*r - y*r. Is u(0) a multiple of 23?
True
Suppose 2*j = -15*j + 5*j. Suppose -25
|
{
"pile_set_name": "DM Mathematics"
}
|
) 11 (f) 1.74
f
What is the nearest to -0.1 in 3/5, 0.2, -0.2, -0.1, -185921?
-0.1
Which is the closest to 1/2? (a) 3 (b) 1974520 (c) 5 (d) 3/5
d
Which is the nearest to 0.0433? (a) -3 (b) 30 (c) -14 (d) 5
a
Which is the nearest to 1? (a) -0.071 (b) -16032 (c) -5
a
What is the nearest to -7467 in 1, -209, 3?
-209
Which is the nearest to -6816? (a) 5 (b) -0.03 (c) -1 (d) 30
c
Which is the nearest to -6? (a) -1 (b) 4 (c) 0.1 (d) 2.1 (e) -1/6
a
What is the nearest to 10.2 in -2, -2/4445, 2, -3?
2
What is the nearest to 186974/5 in -3/4, 5, 2/5, 2/7, -0.5?
5
What is the nearest to 2/5 in 2/5, -2, 766, -0.3, 0?
2/5
What is the closest to -1/2 in 1/4, -0.5, -2/13, 18530, -4/13?
-0.5
What is the closest to -1 in -2.2, 54, 1/2, -5/6, -2/9, 0.6?
-5/6
What is the nearest to 0 in -23, 0.02597, 3, 2.9?
0.02597
What is the nearest to -1 in -0.09, 2/9, -0.3, 13469?
-0.3
Which is the nearest to 192? (a) 5 (b) 6/11 (c) 2/11 (d) 519
a
Which is the nearest to 15.2? (a) 1/6 (b) 5 (c) -2/15 (d) 0.2 (e) 0.03 (f) 2/7
b
Which is the closest to 15/4? (a) -3 (b) -41374/3 (c) -1 (d) 5 (e) 2
d
What is the closest to -31/14 in 0, -12/7, 1/9, -23/13?
-23/13
What is the closest to -10 in -0.528, 3, 0.89?
-0.528
What is the nearest to -6 in 295, 2, -4/321?
-4/321
What is the closest to -1/3 in -8, -2/27, 0.3, 7, 530?
-2/27
Which is the nearest to -2? (a) 2/7 (b) 14 (c) 1/1282 (d) 2/27
c
Which is the nearest to -0.2? (a) -1/5 (b) -0.02 (c) 662 (d) 19 (e) 1/5
a
Which is the closest to -1.6? (a) -6 (b) 1/5 (c) 4444.5 (d) 3
b
What is the nearest to -5613 in 0.2, -9/13, -0.7?
-0.7
Which is the closest to -47844? (a) 1/8 (b) -2/15 (c) 2/13
b
Which is the nearest to -2/7? (a) -3 (b) 1 (c) -2/843 (d) 3 (e) 2 (f) 7/4
c
What is the nearest to 2/7 in -12/6725, -1.2, -1.5?
-12/6725
Which is the closest to -1/43? (a) 2 (b) 4 (c) 1/28 (d) -0.0006 (e) -1
d
Which is the nearest to 3? (a) 1.22 (b) -106 (c) -4
a
What is the closest to -28/11 in 9, 5, 6/59, 0?
0
Which is the nearest to -1/2? (a) -5 (b) 11 (c) -1/2 (d) 0.005 (e) 64 (f) -9
c
What is the nearest to -10/143 in 1/6, 0.5, -0.1, -64, -3?
-0.1
What is the nearest to 0.5 in 3, -7, 65, 1.1, 0.7?
0.7
Which is the closest to -205? (a) -0.1 (b) 0 (c) 0.1 (d) 4/17 (e) 0.3
a
Which is the closest to 677? (a) 1/37 (b) -0.2 (c) 2/9
c
What is the nearest to 754 in -3/5, 84, -49?
84
What is the nearest to 5 in -169, -3, 1/214?
1/214
Which is the closest to 229? (a) 0.034 (b) 7 (c) 1/171
b
Which is the nearest to -2? (a) -1.7 (b) 148.36 (c) 0.4 (d) -4/7
a
Which is the nearest to -23? (a) 2 (b) -0.6 (c) -1 (d) -1/6 (e) 2/15
c
What is the nearest to 0.1 in -4, -8, 0.0842, 125?
0.0842
What is the nearest to 0.2 in -5, 1/10, 2/5, 435/106?
1/10
What is the nearest to -17 in -0.05, -13.66, 0.2, -2/3?
-13.66
What is the closest to -0.28899 in 1/3, 1/2, -3, 5, 1?
1/3
What is the closest to -37 in -0.4, 30632, 2?
-0.4
What is the nearest to -0.071 in -0.4, 4, 1/3, 1/2, -4585?
-0.4
What is the nearest to 1 in -7/3, 5, 4, -55, 1193?
4
Which is the closest to -143/92? (a) -1/3 (b) -1 (c) 5 (d) 12
b
What is the nearest to 3/2 in -417, 0.4, 1.6, -0.1, -1?
1.6
Which is the nearest to 0.19? (a) 53 (b) -10.3 (c) -2/39
c
What is the closest to 236219 in -2.5, -3, 1, 0.3, -2/15?
1
Which is the closest to 2528/1999? (a) -6 (b) 1 (c) 0.4
b
Which is the nearest to 0.05? (a) 0.067 (b) -1 (c) 3/22 (d) 0.5 (e) -8 (f) -0.5
a
Which is the closest to -11969? (a) -5 (b) -4 (c) -1/2 (d) -3/23
a
Which is the closest to 10557? (a) 4 (b) 0.06 (c) -2 (d) 3
a
Which is the closest to -19? (a) -0.8 (b) -3 (c) -6
c
What is the closest to -14 in -5, 0.97, 2/3, 247?
-5
What is the closest to -0.2 in 1003/6, -9/4, 6.2, -0.4?
-0.4
What is the nearest to -22 in 0.1, 6, -4.3, 2, 4?
-4.3
What is the nearest to 3 in 5, -126, -1072, -3, -1/2?
5
What is the nearest to 25 in -1/4, 0.3, -2/13, 24/877, 0.4?
0.4
What is the closest to -1 in -14937.54, 1, -2?
-2
Which is the nearest to 2.2? (a) -2 (b) -1102 (c) 6 (d) 26
c
What is the closest to -235/8 in -2/63, -1/3, -1, 0.6?
-1
Which is the closest to -3? (a) -27934/9 (b) -7 (c) 3 (d) -16
b
What is the nearest to 2 in -22, -0.2, 32/13, 0?
32/13
Which is the nearest to 35? (a) 11.21 (b) -0.3 (c) 2 (d) 0
a
Which is the nearest to 0? (a) 5 (b) 589 (c) 2/21 (d) -1/3 (e) 1
c
What is the nearest to 145 in 2, -4, 10, -1/145, -1.1?
10
Which is the closest to 2/3? (a) -99/5 (b) -0.6 (c) -141/5
b
Which is the nearest to 1? (a) 4/3 (b) 78751 (c) 2/13 (d) -2
a
What is the nearest to -1/3 in -3, -16, 44/23, 20?
44/23
Which is the closest to 33.3? (a) 1/8 (b) -715/12 (c) 0
a
Which is the closest to -0.6? (a) 1/4 (b) -4085 (c) -25
a
Which is the nearest to -0.1? (a) -0.2 (b) 269 (c) -2 (d) 6 (e) -13
a
What is the nearest to -3/7 in 0.2, -36, 0.3, -0.4, -16?
-0.4
What is the closest to 268 in 2/13, -5, 0.03, 1/4?
1/4
Which is the closest to -1/1281? (a) 1/45 (b) -1/12 (c) 4
a
What is the closest to 66854 in 0.1, 2/7, -6, -0.2?
2/7
Which is the closest to 0.1? (a) -0.1 (b) -0.2 (c) 0.11 (d) -4697 (e) -1.4
c
What is the nearest to 20 in 5, 413, 703?
5
What is the closest to -1/4 in 5, -5/6, 4, -5/4, -0.201?
-0.201
What is the closest to 704 in -1, -8245, -2?
-1
What is the closest to -16944 in -41, 4, -0.4, -4, -3?
-41
What is the closest to -2 in -1/4, -526739, -1, -0.3, -4?
-1
What is the closest to 2/7 in 1/1072, 52, 7, 1, 0.5?
0.5
What is the closest to -1/3 in -1, 0.056, -229.27?
0.056
Which is the nearest to 7.633? (a) -117 (b) -5 (c) -18 (d) -1
d
What is the closest to 14 in 0.3, -4, 0.5, -1/10, 1?
1
Which is the closest to 2.687? (a) 1 (b) 0.07 (c) -2/7
a
Which is the nearest to 2? (a) -16 (b) -3/2 (c) 15426 (d) -1/2
d
Which is the nearest to 1? (a) 70.046 (b) 4 (c) 1/4
c
Which is the nearest to -1.171? (a) 4/7 (b) 1 (c) 0.5 (d) 4 (e) -12 (f) 0.4
f
What is the nearest to 0.2 in -9, 131, -1/7, -0.2, -51?
-1/7
Which is the nearest to -14.8? (a) -3 (b) 68 (c) 4 (d) -3/7 (e) 2.5
a
What is the closest to -28374 in 0.2, 1/3, -4?
-4
What is the closest to 2/7 in -5, -496428, 2/9?
2/9
Which is the nearest to -1? (a) -2898 (b) 0 (c) 0.02 (d) 4
b
Which is the closest to 1.03? (a) 5 (b) -36/787 (c) 2/5
c
Which is the closest to 1? (a) 14 (b) -1 (c) 126 (d) 52 (e) -2/3
e
What is the nearest to 2 in -0.2, -83/39, -0.7, -0.4?
-0.2
What is the closest to -0.1 in -2, 7, -0.1, -0.35169?
-0.1
What is the closest to 1.56 in 0.5, 0.2, -3/7, 1, -372?
1
What is the closest to 26 in 4, 941/5, -25, -30?
4
Which is the nearest to -0.3? (a) 1 (b) -129 (c) -0.106 (d) -85
c
What is the closest to -1/4 in 0.4, -50085, -5, 5/3, 335, 0?
0
What is the nearest to 1 in -48, -0.1, 48, 12, 3/23, -3?
3/23
Which is the nearest to -0.47? (a) -3346 (b) 7 (c) -2/43 (d) 0
c
What is the closest to -1899 in -7/8, 1376, -1?
-1
Which is the closest to 416? (a) -0.3 (b) 2.298 (c) -5/4 (d) -3
b
Which is the nearest to 1487? (a) 24 (b) 1.6 (c) -5 (d) -3/7
a
Which is the closest to -2? (a) -0.03 (b) 16716 (c) 2/9 (d) 0
a
What is the nearest to 0.13 in -2607/5, 3, 0.1, -1/6?
0.1
What is the closest to -788.1 in -82, 13, -3/8?
-82
What is the closest to 41/8 in 2/5, 16/5, 0.3, 1/5, 3?
16/5
Which is the closest to -13? (a) 0.8 (b) -0.2 (c) 25459
b
What is the nearest to -24.2 in 129, 0.3, -1.4?
-1.4
Which is the nearest to -1/3029? (a) 0.1 (b) -1 (c) -5 (d) -54 (e) 3
a
What is the nearest to -1 in 66, -5, -2, 4, 17?
-2
Which is the nearest to 4/147? (a) -2 (b) 64105 (c) 0.1
c
What is the nearest to -232 in -2, -1/5, 2, 16?
-2
Which is the nearest to -0.3? (a) -306 (b) -1/12 (c) 4/29 (d) -2
b
What is the nearest to -0.2 in -0.4, 29/6, 8030?
-0.4
Which is the closest to 8.9? (a) 10/7 (b) -10 (c) 2 (d) 9 (e) 1/2
d
Which is the closest to -1.2? (a) 0.4 (b) -37 (c) -0.24
c
What is the closest to -0.4 in -13125, 0.2, 38?
0.2
Which is the nearest to 0? (a) -16691 (b) 1/5 (c) -1/159 (d) 0.5
c
What is the nearest to -1/3 in -311/3, 0, 5, -72.1?
0
Which is the nearest to -0.5? (a) 1.9 (b) 66932 (c) 6
a
What is the closest to -445 in -0.0269, -4, -2, 2/7?
-4
Which is the
|
{
"pile_set_name": "DM Mathematics"
}
|
t of 2115 to the nearest integer?
46
What is the cube root of 14470 to the nearest integer?
24
What is 13409 to the power of 1/7, to the nearest integer?
4
What is the third root of 4660 to the nearest integer?
17
What is the fourth root of 2983 to the nearest integer?
7
What is the third root of 1351 to the nearest integer?
11
What is 4098 to the power of 1/8, to the nearest integer?
3
What is the cube root of 6530 to the nearest integer?
19
What is 3889 to the power of 1/2, to the nearest integer?
62
What is 31816 to the power of 1/3, to the nearest integer?
32
What is 19895 to the power of 1/10, to the nearest integer?
3
What is 4490 to the power of 1/3, to the nearest integer?
16
What is 1886 to the power of 1/9, to the nearest integer?
2
What is the sixth root of 554 to the nearest integer?
3
What is the seventh root of 1409 to the nearest integer?
3
What is 2053 to the power of 1/7, to the nearest integer?
3
What is the tenth root of 35658 to the nearest integer?
3
What is 10222 to the power of 1/8, to the nearest integer?
3
What is the seventh root of 10887 to the nearest integer?
4
What is 1789 to the power of 1/2, to the nearest integer?
42
What is 2868 to the power of 1/3, to the nearest integer?
14
What is 8924 to the power of 1/9, to the nearest integer?
3
What is 146178 to the power of 1/9, to the nearest integer?
4
What is 783 to the power of 1/8, to the nearest integer?
2
What is the square root of 13146 to the nearest integer?
115
What is the cube root of 147 to the nearest integer?
5
What is the square root of 1986 to the nearest integer?
45
What is 18569 to the power of 1/8, to the nearest integer?
3
What is 2467 to the power of 1/3, to the nearest integer?
14
What is the cube root of 1053 to the nearest integer?
10
What is the third root of 33350 to the nearest integer?
32
What is 17520 to the power of 1/7, to the nearest integer?
4
What is 237 to the power of 1/6, to the nearest integer?
2
What is 7734 to the power of 1/9, to the nearest integer?
3
What is 9102 to the power of 1/3, to the nearest integer?
21
What is 809 to the power of 1/3, to the nearest integer?
9
What is 1471 to the power of 1/2, to the nearest integer?
38
What is the cube root of 5055 to the nearest integer?
17
What is 744 to the power of 1/4, to the nearest integer?
5
What is the square root of 131 to the nearest integer?
11
What is the fourth root of 559 to the nearest integer?
5
What is 1701 to the power of 1/7, to the nearest integer?
3
What is the third root of 711 to the nearest integer?
9
What is 2697 to the power of 1/6, to the nearest integer?
4
What is the tenth root of 1179 to the nearest integer?
2
What is the eighth root of 1028 to the nearest integer?
2
What is 18428 to the power of 1/7, to the nearest integer?
4
What is the eighth root of 930 to the nearest integer?
2
What is the square root of 7104 to the nearest integer?
84
What is 2642 to the power of 1/10, to the nearest integer?
2
What is the cube root of 358 to the nearest integer?
7
What is the square root of 704 to the nearest integer?
27
What is the seventh root of 6594 to the nearest integer?
4
What is the ninth root of 1945 to the nearest integer?
2
What is 108617 to the power of 1/7, to the nearest integer?
5
What is 40980 to the power of 1/3, to the nearest integer?
34
What is 185246 to the power of 1/3, to the nearest integer?
57
What is 55804 to the power of 1/3, to the nearest integer?
38
What is 1189 to the power of 1/3, to the nearest integer?
11
What is the cube root of 58662 to the nearest integer?
39
What is 7086 to the power of 1/2, to the nearest integer?
84
What is the square root of 84732 to the nearest integer?
291
What is the sixth root of 2277 to the nearest integer?
4
What is 625 to the power of 1/3, to the nearest integer?
9
What is 21211 to the power of 1/3, to the nearest integer?
28
What is 153974 to the power of 1/2, to the nearest integer?
392
What is the third root of 20951 to the nearest integer?
28
What is the square root of 23242 to the nearest integer?
152
What is the third root of 279 to the nearest integer?
7
What is the third root of 210 to the nearest integer?
6
What is the fifth root of 254 to the nearest integer?
3
What is 1699 to the power of 1/7, to the nearest integer?
3
What is 1126 to the power of 1/2, to the nearest integer?
34
What is the third root of 18130 to the nearest integer?
26
What is the cube root of 9135 to the nearest integer?
21
What is the square root of 33641 to the nearest integer?
183
What is the square root of 977 to the nearest integer?
31
What is the ninth root of 1956 to the nearest integer?
2
What is the third root of 36102 to the nearest integer?
33
What is the square root of 170381 to the nearest integer?
413
What is 218 to the power of 1/5, to the nearest integer?
3
What is the square root of 1571 to the nearest integer?
40
What is the eighth root of 2398 to the nearest integer?
3
What is 37033 to the power of 1/2, to the nearest integer?
192
What is 5768 to the power of 1/4, to the nearest integer?
9
What is the eighth root of 75088 to the nearest integer?
4
What is 1603 to the power of 1/6, to the nearest integer?
3
What is the fifth root of 63860 to the nearest integer?
9
What is the cube root of 1806 to the nearest integer?
12
What is 50724 to the power of 1/6, to the nearest integer?
6
What is the fifth root of 10755 to the nearest integer?
6
What is the third root of 3818 to the nearest integer?
16
What is 7827 to the power of 1/10, to the nearest integer?
2
What is the cube root of 969 to the nearest integer?
10
What is the square root of 14798 to the nearest integer?
122
What is the square root of 3633 to the nearest integer?
60
What is the ninth root of 22265 to the nearest integer?
3
What is the seventh root of 953 to the nearest integer?
3
What is the square root of 319 to the nearest integer?
18
What is the eighth root of 2581 to the nearest integer?
3
What is 1481 to the power of 1/2, to the nearest integer?
38
What is 1158 to the power of 1/9, to the nearest integer?
2
What is 25650 to the power of 1/3, to the nearest integer?
29
What is the seventh root of 8391 to the nearest integer?
4
What is 22223 to the power of 1/2, to the nearest integer?
149
What is the cube root of 250 to the nearest integer?
6
What is 4770 to the power of 1/7, to the nearest integer?
3
What is 6230 to the power of 1/2, to the nearest integer?
79
What is 7355 to the power of 1/5, to the nearest integer?
6
What is the sixth root of 34739 to the nearest integer?
6
What is the square root of 7437 to the nearest integer?
86
What is the cube root of 4926 to the nearest integer?
17
What is the third root of 677 to the nearest integer?
9
What is the cube root of 41343 to the nearest integer?
35
What is 841 to the power of 1/2, to the nearest integer?
29
What is 571 to the power of 1/9, to the nearest integer?
2
What is the square root of 33130 to the nearest integer?
182
What is the third root of 8416 to the nearest integer?
20
What is 25643 to the power of 1/7, to the nearest integer?
4
What is the square root of 25593 to the nearest integer?
160
What is the third root of 1000 to the nearest integer?
10
What is the fourth root of 31644 to the nearest integer?
13
What is the seventh root of 8671 to the nearest integer?
4
What is the third root of 33001 to the nearest integer?
32
What is the square root of 6234 to the nearest integer?
79
What is the cube root of 45011 to the nearest integer?
36
What is 11125 to the power of 1/3, to the nearest integer?
22
What is 1822 to the power of 1/9, to the nearest integer?
2
What is the third root of 896 to the nearest integer?
10
What is the square root of 84604 to the nearest integer?
291
What is 2790 to the power of 1/8, to the nearest integer?
3
What is the cube root of 10864 to the nearest integer?
22
What is the fourth root of 1668 to the nearest integer?
6
What is the fifth root of 5044 to the nearest integer?
6
What is the square root of 50025 to the nearest integer?
224
What is the cube root of 320 to the nearest integer?
7
What is the square root of 58431 to the nearest integer?
242
What is 13259 to the power of 1/2, to the nearest integer?
115
What is the cube root of 51066 to
|
{
"pile_set_name": "DM Mathematics"
}
|
of 5?
True
Let s be 1/(-1) + -1 - -14. Let a(u) be the first derivative of -u**4/4 + 13*u**3/3 - 5*u**2 + 10*u - 1. Does 14 divide a(s)?
False
Let u = 88 - -11. Is u a multiple of 14?
False
Let o = 117 - 81. Is o a multiple of 12?
True
Let d be (5 - 3)/(-2)*-6. Suppose -i = -2*i + d. Is i a multiple of 3?
True
Let p = -95 - -200. Is p a multiple of 15?
True
Let r be (-27)/(-12) + (-1)/4. Suppose -1 = -p + r. Suppose l - p = 2. Is 3 a factor of l?
False
Suppose 0 = 10*t + 35 - 1095. Does 16 divide t?
False
Suppose -5*h = -3*x + 22, 5*h - 3*h = 3*x - 16. Is x/(-10) + 2403/45 a multiple of 20?
False
Suppose 4*a - a = 27. Is 4 a factor of 3*(51/a + -2)?
False
Does 13 divide 2 + 1628/6 - 2/6?
True
Let v = -21 + 33. Let u be (-2 + 15/6)*v. Is 5 a factor of 4/u - (-132)/18?
False
Let g be 2*(3 + (-21)/6). Let f = 21 - g. Does 21 divide f?
False
Let s be (0 + 1)*(8 - 13). Let a = 11 + s. Is a a multiple of 4?
False
Suppose 0 = -4*h + 1 - 5. Does 23 divide (-2)/(2 + h) - -48?
True
Suppose 6 = -s - 9. Does 19 divide (-603)/s + (-1)/5?
False
Does 14 divide 1001/(-13)*(-2 - (6 - 2))?
True
Let w(i) = -3*i**3 - 3*i**2 - i + 3. Let p(u) = -u - 9. Let k be p(-6). Does 20 divide w(k)?
True
Suppose -3*l - p = -16, -3*l + 0*p + 20 = 2*p. Suppose -l*q + 44 = -0*q. Let y = 22 - q. Is y a multiple of 5?
False
Suppose -2*f = 2*r - 6, 18 = 5*f - 2*r + 3. Suppose 4*b + 20 - 47 = 5*z, -f*b = 5*z + 6. Suppose 0 = -w, 37 + 5 = 3*u + b*w. Is 12 a factor of u?
False
Suppose -116 = -4*w - 2*x, -4*x + 10 = 2*w - 48. Does 14 divide w?
False
Let j(h) = -h**2 - 10*h - 12. Let a be j(-9). Let g = 21 + a. Does 9 divide g?
True
Let m be 1*(1 + -74)*-1. Let i = 136 - m. Is 27 a factor of i?
False
Let y(k) = -k + 1. Let a be y(6). Let j = a + 4. Is 24 a factor of (45 - j) + (-2)/(-1)?
True
Let u be 61 + (-3)/(-1) + -2. Suppose u = 3*k + 2. Is k a multiple of 10?
True
Let t(r) = r**2 - 11*r + 5. Let p be t(4). Let x(n) = -9*n**2 + n + 1. Let l be x(2). Let z = p - l. Is z a multiple of 5?
True
Let b(g) = 5*g**2 + 4*g - 1. Let r be b(-4). Suppose -a - 2*n = -r, 71 + 52 = 2*a + n. Does 7 divide a/9 - 4/(-18)?
True
Let g = -57 - -50. Let p(q) = 2*q**2 - 6*q - 1. Let y be p(5). Let m = y + g. Does 4 divide m?
True
Does 4 divide ((-75)/(-10) - 8)*(-77 - -1)?
False
Let t be (8/2 - 1)/3. Suppose -o = 3*k + t, k = 6*k + 5. Suppose -5*c + 5*l + 20 = 0, 2*l = -0*c - o*c + 24. Is c a multiple of 3?
False
Does 8 divide -2 + 198/(6/2)?
True
Suppose 0 + 56 = -l - 2*s, -3*s - 52 = l. Let h = -196 + 104. Let q = l - h. Is q a multiple of 14?
True
Suppose 3 = 2*l - 4*t - 11, -2*l - 5*t = -50. Does 5 divide l?
True
Let u be ((-12)/5)/((-15)/(-50)). Let j = 17 - u. Is 25 a factor of j?
True
Let m(w) = -12*w. Let d be -2 - -6 - 2/2. Let z = d + -5. Is m(z) a multiple of 12?
True
Let r(k) = k. Let p(d) = 5*d - 2. Let g(w) = -p(w) + 4*r(w). Let q(h) = -h**2 + 3*h + 5. Let a be q(5). Is g(a) a multiple of 6?
False
Let k(z) = 0 - 3*z + z - 6 + 7*z. Let i = 5 - -1. Is 12 a factor of k(i)?
True
Let g = 1 + -1. Let k(o) = -6*o + 26 + 4*o + 2*o - o. Does 20 divide k(g)?
False
Suppose -2*z = -3*z - 3*j - 45, -2*z = -5*j + 90. Is 4/30 + (-264)/z a multiple of 2?
True
Suppose 0 = -h - 3*h + 144. Is h a multiple of 13?
False
Suppose -90 = -g - u + 80, -3*u - 158 = -g. Does 11 divide g?
False
Suppose -107 = -4*l + 301. Is l a multiple of 17?
True
Let g(t) = -t - 1. Let b(k) = -26*k + 4. Let h(p) = b(p) + 5*g(p). Suppose 0 = -2*s + s - 1. Does 10 divide h(s)?
True
Suppose 4*w = -w + 150. Is 10 a factor of w?
True
Let j(d) = -6*d - 8. Let o(x) = 0 + 2 + 5*x + 6. Let t(q) = 6*j(q) + 7*o(q). Is 5 a factor of t(0)?
False
Is ((-189)/36)/((-1)/12) a multiple of 7?
True
Let l(w) = -w**3 - 9*w**2 + 10*w + 8. Let j be l(-10). Suppose -3*h + j + 34 = 0. Suppose -4*v - 4*m + 0*m - 8 = 0, 3*v - m = h. Is v even?
False
Let r be (-100)/(-6)*6/4. Suppose r = w - 21. Does 18 divide w?
False
Suppose k = 4*k + 12. Let r(i) = 3*i**2 - i + 1. Is 14 a factor of r(k)?
False
Let f(a) = -2*a**2 - 5*a. Let o be f(-4). Let c be o*(-3)/6 - 1. Suppose y - c = 3. Does 3 divide y?
False
Let u be 3/((-1)/((-22)/3)). Let a = u + -19. Does 3 divide a?
True
Suppose 0 = l - 4*k + 8, -5*k = -3*l - 9 - 29. Let u = l + 41. Suppose -u = g - 6*g. Is g a multiple of 3?
False
Let j(i) = 7*i - 12. Let r be j(-8). Let c = r + 111. Is c a multiple of 27?
False
Let f(m) = 0 - m**3 - 8*m + 4 - 8*m**2 + 1 - 1. Does 17 divide f(-8)?
True
Let n(c) = -c**2 - 4*c - 4. Let z be n(-4). Let k be 1/z*-2*122. Suppose -2*i = -5*i + 3, -4*t + k = i. Does 15 divide t?
True
Let m(p) = -80*p - 2. Is m(-1) a multiple of 12?
False
Does 5 divide 8/(-24) + (-19)/(-3)?
False
Let o = -33 + 88. Is o a multiple of 20?
False
Let m = 77 + 50. Does 19 divide m?
False
Suppose -2*h = h, -j + 28 = -3*h. Is j a multiple of 7?
True
Let s = 40 + -19. Let g = -14 + s. Does 7 divide g?
True
Suppose 20 = v - 13. Suppose 2*n + n + v = 0. Let h = 12 - n. Does 16 divide h?
False
Let s = 0 + 9. Suppose -57 - s = -3*l. Does 22 divide l?
True
Let u be (8/(-10))/(2/15). Let b be 100/3*u/(-4). Suppose -5*l + b + 0 = 0. Does 5 divide l?
True
Let p(y) = y + 16. Is 7 a factor of p(5)?
True
Suppose 0 = -3*a - a + 12. Suppose 0 = a*o + 7 - 55. Does 12 divide o?
False
Let c = 14 + -7. Let j(b) = -3*b + 3*b**3 + 0*b - 3*b**2 + c*b - 2*b**3. Is 10 a factor of j(3)?
False
Let q(b) be the second derivative of b**4/4 - b**3/3 - 2*b**2 + 4*b. Is 14 a factor of q(3)?
False
Let p(y) = 3*y - 2. Suppose -g = 4*g - 35. Is p(g) a multiple of 10?
False
Suppose -1 = -2*i + 2*n + 35, -3*i + 62 = -n. Suppose 5 = 5*c + 3*t - 16, -5*c + 25 = 5*t. Suppose i + c = 5*v. Is 3 a factor of v?
False
Suppose -3*h = s - 11, -h - 5*s = -0*s + 15. Suppose i - g - h = 0, -g - 8 = -2*i + 3. Is 19 a factor of 3/i - (-153)/6?
False
Let t = 64 + -21. Is t a multiple of 9?
False
Suppose -9 = -5*o - 54. Let p be (3 + 8/(-3))*o. Let c = 16 - p. Is 8 a factor of c?
False
Let x = 147 - 61. Suppose 2*z - x - 4 = 0. Suppose 4*b = z + 3. Does 6 divide b?
True
Does 10 divide (-1)/(-6) - (-356)/24?
False
Suppose -63 = -2*u - 4*v + 115, 4*u = -2*v + 332. Does 9 divide u?
True
Let y = -20 + 35. Does 10 divide (-1 - -5)*y/6?
True
Let t(g) = g**3 - 9*g**2 + g + 11. Let s be 2/(-6) - 25/(-3). Let j be t(s). Is 8 a factor of (-3)/(j/12)*25?
False
Let t(a) = a**3 - 5*a**2 - a - 3. Let p(b) = b**2 - b - 6. Let y be p(-3). Is 10 a factor of t(y)?
False
Suppose 61 = 4*m - 59. Is 7 a factor of m?
False
Let b(r) = -r**3 + 16*r**2 + 6*r - 33. Is b(16) a multiple of 21?
True
Let n(m) = 4*m**3 - 2*m**2 - 5*m - 1. Let l(b) = -b**3 - b**2 + b + 1. Let q(j) = 5*l(j) + n(j). Let k be q(-7). Suppose -v + 2 = -k. Does 6 divide v?
True
Let a(d) = -d**3 + d + 49. Does 13 divide a(0)?
False
Let q(w) = -w**3 + 10*w**2 - 7*w - 11. Let r be q(9). Let z = -2 + r. Suppose 0*a - z*a = -80. Is a a multiple of 11?
False
Let f be 15/(-3) + -1 + 5. Is (1 - f)/((-24)/(-180)) a multiple of 15?
True
Let f(c) = 6*c - 11. Let q(y) = -3*y + 6. Let m(g) = -4*f(g) - 7*q(g). Is 14 a factor of m(-6)?
False
Let p = 3 + -6. Is 18 a factor of p*(4/4 - 10)?
False
Suppose 0 = f + 4 - 3. Let o = 6 - 12. Let j = f - o. Does 2 divide j?
False
Suppose o + 5*x - 2 = 8, -5*o - 2*x = -4. Suppose -345 = -o*a - 5*a. Let y = -24 + a. Does 15 divide y?
True
Let z(t) = -312*t**3 - t**2 + t + 1. Is 10 a factor of z(-1)?
False
Let r(m) = -m**2 + 14*m + 11. Let k = 29 - 18. Is 11 a factor of r(k)?
True
Suppose -c - 155 = 4*c + 5*p, -3*c + 5*p - 77 = 0. Let d = c - -143. Suppose 0 = 2*r + 4*n - d, 4*n + 184 - 63 = 3*r. Is 17 a factor of r?
False
Let q = 177 + -361. Suppose -3*i + 5*z = -35, -29 = -5*i - 2*z + 3*z. Does 6 divide q/(-20) + (-1)/i?
False
Let j be (-1)/(-5) + (-702)/10. Let l = j - -107. Does 24 divide l?
False
Does 3 divide -12*((-4)/3 - 0)?
False
Let i(n) be the first derivative of n**6/180 + n**5/60 - n**4/6 + n**3 + 3. Let r(u) be the third derivative of i(u). Does 8 divide r(-3)?
True
Let b = 10 + -3. Is b a multiple of 4?
False
Let y = 456 - 236. Does 20 divide y?
True
Let g = -23 + 65. Does 14 divide g?
True
Let o = 12 - 1. Does 5 divide o?
False
Let v(k) = 126*k**2 - 2*k + 1. Let m be v(1). Let q be (-4)/(-4) - -1 - 0. Suppose -7*a + q*a + m = 0. Is 10 a factor of a?
False
Suppose 141 = -5*m
|
{
"pile_set_name": "DM Mathematics"
}
|
be t(-2). Is b at least 1/15?
False
Suppose 3*d + j + 3 = 0, -5*j - 15 = -d - 2*d. Suppose 4*f + 48 = -d*f. Is -13 <= f?
True
Let v(f) = -7*f + 1. Let m(h) = 12*h - 3. Let d(w) = 6*m(w) + 10*v(w). Suppose k - 19 = c, 0*k - 5*c + 65 = 5*k. Let x be d(k). Does 24 = x?
True
Suppose -6*t = -8*t + 12. Let d be (-6)/(-12)*t - (-7)/(-2). Which is smaller: 0 or d?
d
Suppose -432 = -89*u + 93*u - 4*n, 5*n = -20. Which is smaller: -563/5 or u?
-563/5
Let l(t) = -t + 5. Let i be l(3). Suppose -3*n + v - 2 = i*v, 4*v = -3*n - 8. Which is bigger: n or 22?
22
Suppose 156 = 5*y + 181. Let q = -20224/9 - -2242. Which is smaller: y or q?
q
Let p = -42 - -45. Let d be (4/p*-1)/(40/(-1140)). Does 39 = d?
False
Let s be 11200/(-168) + 8/(-6). Which is bigger: s or 2?
2
Suppose -90 = -2*s + 5*s. Let y be 2/(-5)*s/12. Let t be 3/(9/(-4)) + 2. Which is greater: y or t?
y
Let g = -21342/721 + 2/3605. Which is bigger: -30 or g?
g
Suppose -z + 10 = -f + 1, 2*z = -5*f + 18. Suppose 0*i + z*i - 297 = 0. Is i less than 34?
True
Let v = 177 - 176. Is -3/245 < v?
True
Let y(z) be the third derivative of z**4/6 + 13*z**3/6 + 22*z**2. Let k be y(5). Is k < 34?
True
Let h = -677/7 - -236280/2443. Let v = -755/19893 + h. Which is smaller: 1 or v?
v
Let d = -34 + 36. Let a be (d - 0) + (-59)/31. Which is smaller: a or -1?
-1
Let v be 190/(-184) - (-2)/8. Let l = 12176 - 12176. Which is greater: v or l?
l
Let l = 6 + -6. Let h be 4/10 - (-80)/50. Let m be 1/h - (-10)/40. Which is smaller: l or m?
l
Let m = -33700 - -186259898/5527. Is 0 >= m?
True
Let j = 1 - 8. Let h = 18 + j. Let f = h + -7. Which is smaller: 1/5 or f?
1/5
Suppose 2*j + 3*r = 3*j - 2, 2*j = 2*r. Let t be 2 - j - (12 - 30). Which is smaller: t or 22?
t
Let m = -0.11 + -1.49. Let y = 0.8 + m. Let r = -0.7 - y. Is r at most as big as -0.07?
False
Let n = -0.157 + 0.357. Let f = 28 + -26.7. Which is smaller: n or f?
n
Let o = -38 - -44. Let q(h) = -h + 11. Let l be q(o). Which is smaller: l or 9?
l
Let q = 4221654/355 - 11892. Is -1 >= q?
False
Suppose 2*t = -2*j - 554, -2*t = -5*t + 2*j - 826. Which is smaller: t or 1?
t
Let k = 93 - 36. Which is bigger: 59 or k?
59
Let f be (1/(-21))/(2/(-2154)). Let y be (-51*2)/(-2)*1. Let l = f - y. Are l and -1 unequal?
True
Let p = -0.015 - 8.605. Let w = p + 8.7. Do w and 0 have different values?
True
Let s = 3 + 2. Suppose -c = s*c - 12. Let f be -4 + 4 + (-1)/c. Is 1/4 >= f?
True
Suppose -3*a - 21 = x - 4*x, 5*x - 15 = -5*a. Suppose 2*k = j + 4, -x*j - 13 = 3*k - 58. Let q be (6/(-45))/((-16)/j). Which is greater: q or -1?
q
Let r be (-2)/(-12) - 249/(-18). Let p = 10 - r. Suppose 4*u = -2*i, 3*i - 8 = -3*u + u. Which is smaller: p or u?
p
Suppose 0*n + 5 = -5*n. Let g be n + 5 + (-13)/3. Is g smaller than -5?
False
Suppose 32 = 2*t + 2. Suppose 3*z + t = 3. Is 3 > z?
True
Suppose -j + 4*j + 2*d = -2624, d = 2. Let k = -2677/3 - j. Let q = k - -16. Is 0 smaller than q?
False
Let j = 0.03 - -1.97. Let f be (5/2)/((-15)/30). Let k be ((-2)/55)/(1/f). Which is greater: j or k?
j
Suppose 0*k = -k. Suppose -5*d + k*q = 4*q - 45, d + q = 9. Let i = d + -8. Which is smaller: i or -1/11?
-1/11
Let s = -5.8 - -5.6. Which is greater: s or -2/11?
-2/11
Suppose -50*q + 74*q = -288. Which is greater: q or -13?
q
Let k be 1 - 3*(-5 + 3). Let o = -12 - k. Suppose 77 = -4*s - 5*z, -2*s - 31 = -2*z - 3*z. Which is smaller: s or o?
o
Suppose -d = -4*d - 33. Let f be (-60)/33 - (-2)/d. Let n = -30.4 + 30. Is n at least f?
True
Let z = -1153 - -1168. Are 97/7 and z non-equal?
True
Suppose -6 = v + 2*v - 3*b, 0 = 4*v + 3*b - 13. Is 1/157 greater than v?
False
Suppose -5*y - 280 = -p, p - 272 = y - 0*y. Suppose 0 = 2*m - 2*n + 3*n - 7, n - 25 = -5*m. Let t be (-1)/(-5) + m/p. Is t not equal to 1?
True
Let k = -49 - -57. Suppose 0 = 3*o + 2*d - 13, 3*o = d + d + 5. Suppose -l = 7 - o, 0 = -n + l + k. Which is bigger: 0 or n?
n
Let c = 6 + -3. Suppose 3 = c*a - 0. Let v = -1/184 + 751/2760. Is a at least as big as v?
True
Let m = -3136835/199 - -15763. Let t be 2*2/8*2. Which is smaller: t or m?
m
Suppose 3*t - 1 = -4*d + 2, 2*t + 5*d = 2. Do t and -1/1403 have the same value?
False
Suppose 4*i = -i + 20, 0 = -5*s + 2*i + 17. Is s at least 34?
False
Suppose -4*o + 6*o - 20 = 0. Suppose -2633 = -o*l + 2457. Let n = -10691/21 + l. Is -1 at least n?
False
Suppose 8 - 7 = u. Suppose -8 = -z + 6. Let m be z/(-4)*(-4)/10. Is m at most as big as u?
False
Let a be 50/2*(-19)/(-76). Which is smaller: -2 or a?
-2
Suppose 3*h + 12 = 9. Which is smaller: 25 or h?
h
Let p be (0/((-40)/(-8)))/(-3). Let v be 8/110*5/3. Let j = v + -19/66. Which is smaller: j or p?
j
Let n be -4 - (-1)/(1/(-40)). Let q = n - -175/4. Which is bigger: 4 or q?
4
Let i be 15/(-3)*(3 - -1136576). Let h = -106571330321/18753 - i. Let q = -1/329 - h. Does q = -1?
False
Suppose -3*z - 12 = z. Let v = z + 7. Suppose -5*h + 2 = -4*i, 0*h - 2*i + 2 = -v*h. Which is greater: -9/5 or h?
-9/5
Let r(g) = 10 + 2*g + 0*g - g**2 - g + 6*g. Let c be r(9). Which is bigger: c or 1?
1
Let j(m) = 5*m - 20*m + 14*m - 36. Let f be j(-9). Is -27 at least as big as f?
True
Let b = -1183 + 1183. Which is bigger: 5/316 or b?
5/316
Let f(w) = w**2 + 7*w - 11. Let g be f(-9). Suppose g*h = 5*h - 8. Is h less than or equal to -4?
True
Let i = 393 - 228. Which is bigger: i or 166?
166
Let d = -11 - -11. Let y = d + 1. Let v = 3 + -9. Is y less than v?
False
Let s be -11 - (-2 - (1 + -3)). Suppose 2*c - c + 34 = 0. Let f = c + 22. Which is smaller: s or f?
f
Let w = -1 + 0. Let l = 4 - -22. Let s = -26 + l. Is w bigger than s?
False
Let s be (-130)/(-3)*3*32/(-40). Is -104 at most s?
True
Let c = -1795/6 - -300. Let f(m) = -4*m - 7 + 8*m - 15*m**2 + 14*m**2 + 6*m. Let z be f(9). Is z > c?
True
Let l be (-9)/(-4) + (-1)/4*1. Suppose -12 = -l*o + 3*h, 7 = 5*o - 4*h - 9. Which is smaller: o or -1?
-1
Let p be 4 + (-3 - -2) + 12. Let z = p - 59/4. Are z and -1 equal?
False
Suppose -4*u + 2*z - 3*z - 72 = 0, 0 = -2*u - 4*z - 36. Is -89/5 bigger than u?
True
Suppose -g + 439 - 429 = 0. Is 70 != g?
True
Let l = 0.22 + -3.22. Let r = 1 - l. Is r at most 1/8?
False
Suppose -5*t + k = -59 - 134, 191 = 5*t - 2*k. Which is smaller: 40 or t?
t
Suppose 3*m - 8 = u, 3*u - 9 = -2*m - 0*m. Let o(a) = 13*a**2 + 139*a - 46. Let i be o(-11). Is u not equal to i?
True
Let x = 768 - 781.6. Which is smaller: x or -0.3?
x
Let u = 354.9 - 355. Is -228 > u?
False
Let y = -15.684 - -0.004. Let g = y - 0.32. Let f = -15 - g. Is f at most as big as 1?
True
Let d = 0.02 + -3.02. Let a = 3.2 + d. Let i be (28/112)/(15/12). Are a and i nonequal?
False
Suppose 2*l = -2*l - 16. Let r be -3*(59/(-15) - l). Is 0.3 at most as big as r?
False
Let r be (-20)/(-4) - (65 + 0). Is r >= -62?
True
Suppose -5*w + 46 = 2*s, w + 26 - 4 = 2*s. Let l = -21 + 37. Suppose -2*a - 2*t + l = 0, -a - 2*t = 3*t + 8. Which is smaller: s or a?
a
Let j = -474.2 + 364. Let u = j + 110. Is u bigger than -15?
True
Let t be (-234)/(-12) - 9/18. Which is bigger: -5 or t?
t
Let b(r) = -r**2 + 17*r + 13. Let v be b(18). Let w be v + 2 + 6/9*3. Which is greater: w or -1/28?
-1/28
Let r = -13/38 - 3/19. Let z = -2670 + 2663. Is z bigger than r?
False
Let n be 3/(-12) + (-21)/(-4). Suppose -n*t + 10*t - 5*z = 20, 4*t - z = 7. Suppose 0 = 7*k - 12 - 9. Is t greater than k?
False
Suppose -69*a = -67*a + 942. Which is bigger: a or -472?
a
Let w(b) = -b - 8. Let l be w(10). Let d be l*((-70)/(-60) - (-1)/(-2)). Is -53/5 less than d?
False
Let d(h) = 3*h**3 - 95*h**2 - 31*h - 44. Let b be d(32). Are -2/13 and b nonequal?
True
Let y be (-13)/(-20) - 8/32. Let b = -6 + 8. Suppose d = -b*d. Is y greater than or equal to d?
True
Suppose 62 = -x - y, x + 62 = 7*y - 6*y. Is x smaller than -2/23?
True
Suppose 227 - 230 = -r. Which is smaller: r or -62?
-62
Suppose 2*d = 7*d + 45. Let v = 11 + d. Let y be v*(3 + -2)/1. Is 3 equal to y?
False
Let l(f) = -f**2 + 15*f + 1. Let d = -23 + 90. Suppose 0 = 5*r - d - 8. Let n be l(r). Is n greater than 1/10?
True
Suppose 2*a + 8 = 10*a. Let k be 148/240 - (-4)/(-6). Is k at most a?
True
Suppose 3*k - 4*k = 4*y - 13, -3*k = 4*y - 7. Suppose -4*i + 5*v - 29 = 0, -7*v = y*i - 3*v + 20. Let w be ((-4)/129)/(i/(-9)). Which is smaller: w or 0?
w
Suppose 42*f = 43*f - 7. Let a(r) = -r + 3. Let w = -13
|
{
"pile_set_name": "DM Mathematics"
}
|
h be (-1)/(4 - x)*-5. Suppose 60 = h*t - 4*n + 6, 3*n = -5*t + 82. Calculate the highest common divisor of t and 2.
2
Let j(g) = 282*g - 2202. Let u be j(8). What is the highest common divisor of 1674 and u?
54
Suppose -5*d - 3 - 2 = 0, -d - 47 = -2*o. Let f be ((-34)/8)/(12 + (-10000)/832). Suppose 7*l - 423 = f. Calculate the highest common factor of l and o.
23
Suppose 5*q = 3*r + 1116, -37*q + 42*q = -4*r + 1067. Calculate the highest common factor of q and 2044.
73
Suppose 8 + 8 = -4*s, 0 = 4*m - 4*s - 40. What is the highest common factor of m and 310?
2
Suppose -6*h + 319 = 2*x - 11*h, 0 = x + 4*h - 127. Let s be x*(3 + (-7)/3). Calculate the highest common divisor of 28 and s.
14
Let s(l) be the third derivative of l**4/6 + 16*l**3/3 + 2*l**2. Let f be s(14). Suppose f = x + x. Calculate the greatest common divisor of 66 and x.
22
Let p(i) = -7*i + 31. Let b be p(3). Let o = b - -4. Calculate the greatest common divisor of o and 14.
14
Suppose -4*h - x + 10 = 0, -3*x = 2*x - 10. Let j(o) = -o**2 - 3*o - 2. Let k be j(4). Let d = -20 - k. What is the greatest common divisor of d and h?
2
Suppose -330 = 2*j + 8*j. Let s = j + 36. Let q(k) = 6*k - 7. Let p be q(s). What is the highest common divisor of p and 11?
11
Suppose -4*m = -3*c + 30, -4*m + 2 - 16 = 5*c. Let r be (-2)/m - 1611/(-27). Suppose 9*x = 13*x - r. Calculate the greatest common factor of x and 75.
15
Let h = 5781 + -3881. Calculate the greatest common factor of h and 228.
76
Let u(q) = -q**3 + 14*q**2 - 12*q - 32. Let i be u(13). Let x be 24/(-16)*(i - 1). Let z be (6 - 0)*40/x. Calculate the greatest common divisor of 72 and z.
8
Let i = -131462 + 131702. Suppose -20 = 2*q + 2*w, 3*q + 2*w + 28 - 3 = 0. Let b be 13 - (-5)/(q/(-2)). What is the greatest common divisor of b and i?
15
Suppose 4*q = 57*s - 54*s + 398, 3*s + 208 = 2*q. What is the greatest common divisor of 17233 and q?
19
Let z = -171 - -170. Let m be 4*z/4 - (-16 + -2). What is the highest common factor of m and 4?
1
Suppose 0 = -10*d + 25 + 5. Suppose -4*u - 455 = 2*f + d*f, -4*f - 571 = 5*u. Let n = -89 - u. Calculate the highest common factor of 52 and n.
26
Let d(n) = 85*n**2 + 30*n + 210. Let s be d(6). Calculate the highest common divisor of 450 and s.
150
Let g be -4*(11 + -2)*(-9 - 6775/20). Calculate the greatest common factor of 214 and g.
107
Suppose 325*y + 54*y = -1097778 + 3889492. What is the highest common factor of y and 116?
58
Let t be 12/1 - (5 - 3). Suppose -11 = -g + t. Suppose 121*p - 252 = 115*p. What is the greatest common factor of p and g?
21
Let h be (-6494)/(-4) - 3/6 - (6 + -3). Calculate the greatest common factor of h and 50.
10
Let x(j) = -2*j**3 + 4*j**2 + 4*j + 3. Let w be x(0). What is the greatest common factor of w and 444?
3
Let i(j) = -6*j + 10. Let b be i(-2). Suppose 25*a - b*a = 48. Let s(q) = 5*q**2 - 5*q - 6. Let o be s(-5). What is the highest common divisor of a and o?
16
Let d = 31 + -32. Let k = d + 39. Let n = 42 - k. What is the highest common divisor of n and 32?
4
Let c be 744/(-16)*14/(-1). Suppose 7*s + 49 = c. Calculate the greatest common factor of 301 and s.
43
Suppose 5*b - c = -2*c + 10, 3*c = 0. Let l(g) = 21*g + 24. Let n be l(2). Let h be (n/11)/(-3 - -2 - -2). What is the highest common divisor of h and b?
2
Let w(o) = o + 7. Let j be w(-2). Suppose -2*v - 25 = -d, -d + j*d + v = 136. What is the highest common divisor of d and 15?
3
Let x = 40761 - 37058. Calculate the greatest common divisor of 115 and x.
23
Suppose 5*m = 15, 1472 = 89*h - 88*h - 4*m. Calculate the highest common factor of h and 14.
14
Suppose 7898*p - 7900*p = -18. Calculate the greatest common divisor of p and 3519.
9
Suppose 895 = 41*x - 440 + 351. Suppose j = 5*j - 672. What is the greatest common factor of x and j?
24
Let h be 6715 + 232 + (-16 - 3). Calculate the greatest common divisor of 16 and h.
16
Suppose 2*i = 2*j + 10, -4*j + 28 = 4*i - 0*j. Let s be 2305/(-20) + i/(-8). Let n be (s/(-5))/(2/15). Calculate the highest common factor of n and 29.
29
Let g = -82 - -84. Let w be (-3 - -4 - -191) + g. Let q = 342 - w. What is the highest common factor of 37 and q?
37
Suppose 3*r + 4*b - 92 = 0, b + 38 = 43. What is the highest common divisor of r and 291?
3
Let n = 38 + -22. Let k = n - -2. Let h = -5260 + 5296. What is the greatest common divisor of h and k?
18
Let y = -1157 + 1173. Let b be (-2655)/(-10) - (-5)/(-10). Suppose 4*x - b - 183 = 0. Calculate the highest common divisor of x and y.
16
Let f(p) = -10*p + 2. Let m be f(-6). Suppose j - 3*i = m - 18, -5*i - 180 = -5*j. Let o = 1703 + -1695. Calculate the highest common factor of j and o.
8
Suppose 0 = 27*d - 103*d + 760. Let z be (1 - -1 - 0)/((-16)/(-600)). What is the greatest common divisor of d and z?
5
Let d be ((-7192)/93)/((-2)/24). Suppose -2*p = -7*p - 5*z + 570, 6 = -3*z. Calculate the greatest common divisor of p and d.
116
Let i be (1573/4)/((-3)/(-60)). What is the greatest common divisor of 260 and i?
65
Let b(r) = 51*r**2 + 157*r - 3. Let c be b(-6). What is the highest common divisor of c and 99?
99
Let p = 36602 - 6145. What is the highest common factor of p and 133?
133
Suppose p - 5*r = 1506, r - 804 = p - 2286. Calculate the greatest common divisor of p and 328.
164
Suppose 4*m = -b + 118, 4*b - 451 + 24 = -m. Suppose 2*j - 5*j = 4*z - 424, z = -4*j + b. Let o = z + -78. What is the greatest common divisor of o and 28?
28
Suppose -2*q + 22 = -0*m + 2*m, 5*q + 89 = 4*m. Suppose 5*n - 4*n - 101 = -3*b, 0 = n - 5. Calculate the highest common factor of m and b.
16
Suppose 0 = 3*t + t + z - 11, 2*t - 2*z = 18. Suppose 4*n = 3*k + 90, -3*n - 4*k = -69 - 11. What is the greatest common divisor of t and n?
4
Suppose 7816 + 12710 = 22*n. What is the greatest common factor of 3 and n?
3
Let j = -1260 + 1305. What is the highest common factor of 315 and j?
45
Let x be (930/150)/(1/40). Calculate the highest common divisor of x and 16.
8
Let o(f) = f**3 - 10*f**2 + 128*f - 969. Let t be o(9). What is the highest common divisor of 1482 and t?
6
Suppose -4*n + 4*u = 100, -23*n = -22*n + u + 21. Let t(v) = 2*v**3 + 46*v**2 - 2*v - 31. Let k be t(n). Calculate the greatest common factor of k and 75.
15
Suppose -3*t = -x - 226 + 15, 3*x - 57 = -t. Let m = 1708 - 1702. Calculate the highest common factor of t and m.
3
Let d be -4 - ((-22)/(-33))/((-4)/174). Suppose -368 = -2*m - 4*u, d + 515 = 3*m + 3*u. Calculate the highest common factor of m and 96.
16
Let z = 188 - 118. Suppose 11*p = 12*p - 142. Let y = p - z. What is the highest common divisor of 18 and y?
18
Let w be ((-10)/15)/(29042/(-3627) + 8). Calculate the highest common factor of w and 39.
3
Suppose -4*t - 14 = -r, 2*r + 2*t = t + 64. Suppose 0 = -r*k + 40*k - 8580. What is the greatest common divisor of k and 66?
66
Let v(d) = 4849*d + 22. Let t be v(2). Calculate the highest common factor of 135 and t.
135
Let r(a) = 15*a. Let p be r(-2). Let c = -27 - p. Suppose c*k + k = 4*z + 112, 5*z + 112 = 4*k. What is the greatest common divisor of 28 and k?
28
Let x(r) = r**2 + 22*r + 332. Let s be x(-19). Let h(w) = -w**2 - 15*w + 11. Let j be h(-14). Calculate the greatest common divisor of s and j.
25
Let n(y) = -y**3 + 8*y**2 - 12*y + 8. Suppose 0 = -9*w + 12 + 24. Let c be n(w). Let l = -10 + 42. Calculate the highest common divisor of l and c.
8
Let r = 54 - 40. Suppose -r*t + 18*t = -160. Let j = t + 48. What is the highest common factor of 32 and j?
8
Let p(m) = -39*m - 240. Let j be p(-17). Calculate the greatest common factor of 47 and j.
47
Suppose -462 = -4*n - 382. Suppose 44*u - 42*u = n. What is the greatest common divisor of 4 and u?
2
Let m(j) = -j**3 + 2*j**2 + 5*j - 4. Let k be m(3). Suppose 24 = i - x, 41 + 14 = k*i + 5*x. Calculate the highest common divisor of i and 10.
5
Suppose -3*m - 44*u + 48*u - 1843 = 0, 2*m + 4*u + 1262 = 0. Let r = -590 - m. What is the greatest common factor of 341 and r?
31
Let k(x) = 2*x**2 - 22*x - 118. Let f be k(-5). Suppose -170*u + 160*u = -7980. Calculate the greatest common factor of u and f.
42
Let k = -95 + 173. Suppose -4*y - 4*m + 20 = 0, 64*y - 65*y - 4*m = -2. Calculate the greatest common factor of y and k.
6
Let w = 17 - 19. Let s be (-11328)/(-30) + (4/(-5))/w. Calculate the grea
|
{
"pile_set_name": "DM Mathematics"
}
|
2*a + w. What is the highest common divisor of a and g?
5
Suppose -5*d + 2*u = -3244, 5*d + 5*u - 3248 = 9*u. What is the greatest common divisor of d and 108?
108
Let g(o) be the third derivative of -o**5/60 - o**4/24 - o**3 - 5*o**2. Let t be g(5). Let m = t - -57. What is the greatest common divisor of 231 and m?
21
Let j = 96 - -2. Let c = -28 - -42. Calculate the greatest common factor of c and j.
14
Suppose -5*r + 6*b + 418 = 3*b, -b = 2*r - 165. Suppose 0 = -2*s + r - 15. What is the highest common divisor of 374 and s?
34
Let n(u) = -u**3 + 9*u**2 - 14*u + 16. Let o be n(7). Suppose -5*c = 4*v - 556, -3*v - 3*c + 0*c = -420. What is the greatest common divisor of v and o?
16
Let n(g) = -g + 37. Let y be n(9). Calculate the highest common divisor of y and 8.
4
Suppose 49 = -s + p + 77, -s + 12 = 3*p. What is the highest common divisor of s and 57?
3
Let w(f) = -11*f - 6. Let j be w(-12). What is the highest common divisor of 168 and j?
42
Let d = -128 - -219. Let r(y) = -7*y**2 + 8*y**2 - 6 - 4*y - 2. Let i be r(7). Calculate the greatest common factor of d and i.
13
Suppose 2*v = 22*v - 180. What is the highest common divisor of v and 27?
9
Suppose 3*y = -28*y + 155. Calculate the highest common divisor of y and 35.
5
Let s = -116 - -167. Let h(j) = -4*j + 19. Let r be h(-8). What is the highest common divisor of s and r?
51
Let u = 474 - 322. What is the greatest common factor of u and 114?
38
Suppose 4*s - 921 = 135. Suppose -5*o + s = -3*o. Calculate the greatest common divisor of o and 12.
12
Suppose -i + 8*a - 3*a - 28 = 0, -5*i = 3*a. Let t = i + 5. Let l be ((-6)/4)/((-3)/16). What is the greatest common divisor of l and t?
2
Suppose -1257 = 5*a + 98. Let c = -73 - a. What is the highest common factor of 18 and c?
18
Suppose -2*f + 6*f = 64. What is the greatest common factor of 8 and f?
8
Suppose 13*u = 24*u - 3344. Calculate the greatest common factor of u and 64.
16
Let t(a) = a**3 - 15*a**2 + 3*a - 3. Let n be t(15). Let k(r) = -r + 22. Let i be k(8). Calculate the highest common divisor of i and n.
14
Let x be (-348)/4 - (-4 - 0). Let t = x + 181. Calculate the highest common factor of 14 and t.
14
Suppose 0 = 5*j + 3*r - 25, -2*j + 0*r = -2*r - 10. Let y = 0 - -4. Suppose y = 4*q - 76. Calculate the greatest common divisor of q and j.
5
Suppose 2 + 8 = -2*w, -4*w = 4*z - 12. What is the highest common factor of z and 1?
1
Suppose -12*q = -90 - 486. What is the highest common divisor of 336 and q?
48
Let b be -2 + (4 - 3 - -11). Let r = 14 - 7. Suppose -4*s - 2*n = -31 - r, 0 = -4*n - 4. What is the highest common divisor of b and s?
10
Suppose 2*f - 2*o = 12, -10 = -2*f - 4*o + 5*o. Suppose 0 = f*u + 10*u - 224. What is the highest common divisor of 64 and u?
16
Suppose -3*f - 282 = 3*c - 1572, -3*c + 1288 = 4*f. Calculate the greatest common factor of 81 and c.
27
Suppose -t + 35 = -0*t. Let p = t - -9. What is the greatest common factor of 44 and p?
44
Suppose 18*w - 206 = 226. Calculate the highest common divisor of w and 1080.
24
Suppose 0 = -4*v - 5*q - 188, -3*q = 2*v - q + 96. Let y be 1/(-2)*v - -1. Calculate the greatest common factor of 18 and y.
9
Suppose 115 + 74 = 27*p. What is the highest common divisor of p and 1?
1
Suppose 19*f - 1066 = 7769. What is the greatest common factor of 15 and f?
15
Let u = 50 - 24. Let q(p) = -22*p + 20. Let y be q(-5). What is the greatest common factor of y and u?
26
Suppose j + 3*f + 9 = 2*j, 5*j - f - 31 = 0. Let g(l) = 5*l**3 + 2*l**2 + 13*l - 14. Let x be g(1). Calculate the highest common factor of x and j.
6
Let f = 2 - -2. Let v be (-4)/(-12) - ((-20)/(-6) - 3). Suppose f*p - p - 15 = v. Calculate the highest common factor of p and 40.
5
Let x(p) = -p + 4. Let i be x(2). Suppose 0 = w + 2*n - 17, 4*n - i*n = 2*w - 40. What is the highest common factor of 57 and w?
19
Suppose 3*h + 164 = h + 4*v, 2*h + 2*v = -170. Let s = -74 - h. Let a be (-10)/(-8)*(2 + 18). Calculate the greatest common divisor of a and s.
5
Let b(f) = f + 0*f + 2*f + 7*f**2. Suppose 17 = 5*n + 2*c, 0 = -0*n - n + c + 2. Let k be b(n). What is the greatest common factor of 8 and k?
8
Let b be (7/(-35))/((-3)/15). Let v be (-150*b)/(21/9 - 3). What is the highest common divisor of 90 and v?
45
Let k(p) = -11*p + 1. Let i be k(-4). Let o = -42 + 88. Let d = -37 + o. What is the greatest common divisor of i and d?
9
Let c be (5 + -7)*(-89 + 1). Let k be (0 - -2) + (4 - -16). Calculate the highest common factor of c and k.
22
Let d(y) be the third derivative of -y**4/4 + 7*y**3/3 + 27*y**2. Let q be d(2). Calculate the greatest common factor of q and 3.
1
Let a be (-2)/4 + 22/4. Let d be 3/((-4)/24*2). Let c be d*a*(1 + -2). Calculate the greatest common divisor of c and 5.
5
Suppose 35*k = 33*k - 64. Let m be (-10)/(-3) + k/96. Calculate the greatest common divisor of m and 8.
1
Suppose -2*q + 598 = 202. Suppose h - 4*h = 3*f - 150, 3*h = -4*f + q. Let j(o) = 6*o - 2. Let c be j(3). Calculate the highest common divisor of f and c.
16
Let y be 3/(-1)*2/(-3). Let n be y/13 + 44/52. Calculate the greatest common divisor of n and 1.
1
Suppose -2*b + 0*o + 2*o - 62 = 0, -4*b = -3*o + 123. Let m be (8/((-16)/b))/(3/2). Calculate the greatest common divisor of m and 130.
10
Let m = 0 + 9. Let f = -8753 - -8861. Calculate the greatest common factor of m and f.
9
Let p = -52 - -108. What is the greatest common divisor of 70 and p?
14
Suppose 0*n + 3*n + 5*g - 24 = 0, 0 = 4*n + 3*g - 21. Suppose 5*j - 4*j = -4*r + 8, j - 1 = 3*r. What is the highest common factor of r and n?
1
Let n be 15 - (-3 + (10/2)/1). Let g be ((-5)/(-3))/(1/3). Suppose s = -g*k + 64, -35 = -3*k - 8*s + 4*s. What is the greatest common factor of n and k?
13
Let x be (-2 - 0)*(-30)/4. Let m(s) = 32*s + 1. Let p be m(1). Let n = p - 3. Calculate the greatest common factor of x and n.
15
Suppose -5*r + 3*h + 837 = -0*h, 0 = 3*h + 12. What is the greatest common divisor of 30 and r?
15
Suppose 8 = 2*s, 1451 = 3*o - 5*s - 1037. What is the greatest common factor of 152 and o?
76
Suppose 0 = -2*o - g + 113, 2*o + 4*g - g = 107. Let f = o + -34. Calculate the greatest common factor of 216 and f.
24
Let k(w) = 6*w + 27. Suppose 0 = 5*h - 45 - 15. Let o be k(h). Calculate the greatest common divisor of o and 9.
9
Let m(t) = -3*t**3 + 4*t**2 + 4*t. Let f be m(-2). Suppose -4*i + f = -2*i. Suppose i = 5*n - 9. What is the highest common factor of 25 and n?
5
Suppose 4*j - y - 190 + 85 = 0, 4*j - 5*y - 93 = 0. Calculate the highest common factor of 27 and j.
27
Let c = -24 + 39. Suppose -10*n - 40 = -c*n. What is the highest common divisor of 24 and n?
8
Let r(k) = -k**2 + 31*k + 52. Let o be r(31). What is the greatest common divisor of o and 468?
52
Let y(b) = 11*b**2 + 12*b - 1. Let g be y(-3). What is the greatest common factor of g and 2294?
62
Let u = -74 - -204. What is the highest common divisor of u and 10?
10
Let k be ((-40)/(-3))/5*(104 - 14). What is the greatest common divisor of k and 24?
24
Suppose -30 = -3*b + 3*t, 2*t = b + 4*t + 2. Suppose -y = 5*c - 0 - 1, -3*y + 3 = 3*c. Suppose -p + 9 + 0 = c. Calculate the highest common factor of p and b.
3
Let s(r) = -r**3 - 13*r**2 - 17*r - 6. Let a be s(-12). Let u be ((-60)/(-18))/((-30)/(-108)). What is the highest common factor of a and u?
6
Suppose 4*s - 2688 = 4*l, -s + 5*l + 433 = -251. Let b = s - 192. Suppose 5*v + 177 = b. What is the highest common factor of 12 and v?
12
Suppose -10*l + 5*l + 10 = 0. Suppose -x - l*x - s = -122, -29 = -x + 2*s. Calculate the highest common divisor of 91 and x.
13
Let x = -4 - -26. Suppose -o = -0*o - x. Let l(d) = -199*d**3 - d**2. Let r be l(-1). What is the greatest common divisor of o and r?
22
Let h(p) = -3*p + 71. Let o be h(20). Let r = 138 - 50. What is the highest common divisor of o and r?
11
Suppose k = -w - 2*w + 278, 2*k + 172 = 2*w. Suppose 0*p = -p + 4*r + 7, 3*p + 2*r - w = 0. Calculate the highest common divisor of 9 and p.
9
Let b = 132 - 20. What is the greatest common factor of 14 and b?
14
Let y be (0 + 4)*(63/7 - 5). What is the highest common factor of y and 80?
16
Suppose 2324 - 920 = 5*b - 3*d, 2*d + 6 = 0. Calculate the greatest common factor of 31 and b.
31
Let z be (-5)/25*-95 - -9. Calculate the greatest common divisor
|
{
"pile_set_name": "DM Mathematics"
}
|
ending order.
-58, -3, 2, 5, 15, 16
Put 3, -75, -2/9, 2/3723 in decreasing order.
3, 2/3723, -2/9, -75
Sort 7, 5, 4, 290, 2, 0 in decreasing order.
290, 7, 5, 4, 2, 0
Sort -2, -6, -4/7, 0.22369.
-6, -2, -4/7, 0.22369
Put 19.5, 0.1, 0.4, 7, 0 in ascending order.
0, 0.1, 0.4, 7, 19.5
Put -5, -0.5, -2/206591, 0 in decreasing order.
0, -2/206591, -0.5, -5
Sort 0, -3, 64, -536 in ascending order.
-536, -3, 0, 64
Put -30, 2, -10, -5, -2, 1 in decreasing order.
2, 1, -2, -5, -10, -30
Put -414, -102/11, -4 in ascending order.
-414, -102/11, -4
Put 4, 21, -4, -5/4, -0.3, 324/11 in decreasing order.
324/11, 21, 4, -0.3, -5/4, -4
Sort -1906, 4, 0 in decreasing order.
4, 0, -1906
Sort 2/3, 2/15, 2036, 3, -3/4.
-3/4, 2/15, 2/3, 3, 2036
Put 0, -1304, 10 in ascending order.
-1304, 0, 10
Sort 27, -4, -5, 19, -1, 0 in ascending order.
-5, -4, -1, 0, 19, 27
Sort -2.7, 3, 130, 6 in descending order.
130, 6, 3, -2.7
Put 1/5, -14.2, 1/3, -0.3 in decreasing order.
1/3, 1/5, -0.3, -14.2
Put 117, -1, 0.09084 in increasing order.
-1, 0.09084, 117
Sort -2700, -1/9, 1/4 in ascending order.
-2700, -1/9, 1/4
Sort -2, -8, 16, 1, 55 in ascending order.
-8, -2, 1, 16, 55
Put 48, 18, 2 in decreasing order.
48, 18, 2
Sort -5, 132, 11, 1, 7, 2 in increasing order.
-5, 1, 2, 7, 11, 132
Sort 5, -2/55, 2/5 in descending order.
5, 2/5, -2/55
Sort -1, 2, 1, 198 in descending order.
198, 2, 1, -1
Sort -5/7, 6, -23, -22, 0 in descending order.
6, 0, -5/7, -22, -23
Sort 1/2, 4/3, -17, -3, -1 in decreasing order.
4/3, 1/2, -1, -3, -17
Put 0.5, -1/2, -2/5, 16/29, 1 in descending order.
1, 16/29, 0.5, -2/5, -1/2
Sort -13, -7, 35, -4.
-13, -7, -4, 35
Put 1, -10, -3, 2, 3082, -5 in descending order.
3082, 2, 1, -3, -5, -10
Sort 3/7, -12/29, -1, 103 in decreasing order.
103, 3/7, -12/29, -1
Sort 4, 60, 550, -9 in decreasing order.
550, 60, 4, -9
Sort 2.076, 3/5, 0, 1/4, -1 in ascending order.
-1, 0, 1/4, 3/5, 2.076
Put -106, 4, 6, 5, 3, -58 in increasing order.
-106, -58, 3, 4, 5, 6
Sort 0.06, 4, -3/22, 0 in decreasing order.
4, 0.06, 0, -3/22
Put -4, 3, -13, 108, -3 in decreasing order.
108, 3, -3, -4, -13
Put -131, -19, -2 in increasing order.
-131, -19, -2
Put 1066, -4, 3, -5 in ascending order.
-5, -4, 3, 1066
Sort 1, -50916, -4.
-50916, -4, 1
Sort -1/2, 7269, 5.
-1/2, 5, 7269
Put -5, -3136/223, -0.3 in descending order.
-0.3, -5, -3136/223
Sort 1/6, -1/3, -1733, 0.7 in descending order.
0.7, 1/6, -1/3, -1733
Sort -131, -26/11, 0.1.
-131, -26/11, 0.1
Put 8, -4, 2, -3, 13 in decreasing order.
13, 8, 2, -3, -4
Sort -2, 4, 3, -19, -4, 72.
-19, -4, -2, 3, 4, 72
Put 5, -215, -1, -5, 0 in decreasing order.
5, 0, -1, -5, -215
Sort 2, 0, 1, -45401 in descending order.
2, 1, 0, -45401
Sort -145, -3, -245.
-245, -145, -3
Put 5, 1, -41, 2, -0.07, 3 in descending order.
5, 3, 2, 1, -0.07, -41
Put -0.2, -4871, -1 in decreasing order.
-0.2, -1, -4871
Put 0.4, -3, -36/11, 0, 4, 6 in descending order.
6, 4, 0.4, 0, -3, -36/11
Sort 4/5, 0.68, 0.3, 1/6, 0.5 in decreasing order.
4/5, 0.68, 0.5, 0.3, 1/6
Put -235, -2, 792 in decreasing order.
792, -2, -235
Put -3, -4, 132, 5, 0, -45 in decreasing order.
132, 5, 0, -3, -4, -45
Put -3, -6, -6/11 in decreasing order.
-6/11, -3, -6
Sort 1, 4, 3669, 0 in decreasing order.
3669, 4, 1, 0
Sort 158, 12, 5, -5 in descending order.
158, 12, 5, -5
Put -9, -5, 2/13, 54.133 in decreasing order.
54.133, 2/13, -5, -9
Put -2/5, -2/155, 5, 3, -1/9, -3 in descending order.
5, 3, -2/155, -1/9, -2/5, -3
Sort 1, -4, 5, 4, -7 in ascending order.
-7, -4, 1, 4, 5
Sort 5, -934, -1/5, 4, -5 in descending order.
5, 4, -1/5, -5, -934
Sort 5, 4, -15, -658 in decreasing order.
5, 4, -15, -658
Put 5, 1, 2/9, 29, -1, -12 in decreasing order.
29, 5, 1, 2/9, -1, -12
Sort -12283, -4/9, 1, 4/3 in descending order.
4/3, 1, -4/9, -12283
Sort -5/4, -18/23, -7.1 in increasing order.
-7.1, -5/4, -18/23
Sort 12, 4, -32, -5, -4 in decreasing order.
12, 4, -4, -5, -32
Sort 4/7, -11, 9, -2, -3, -0.2 in decreasing order.
9, 4/7, -0.2, -2, -3, -11
Sort 69, 74, -5, 0.
-5, 0, 69, 74
Sort -395, -302, -4 in increasing order.
-395, -302, -4
Put 36729, -2, -2/3 in descending order.
36729, -2/3, -2
Sort 1, 3, 64, 5, 11, -5.
-5, 1, 3, 5, 11, 64
Put -0.5, 0.1, -4, 0.21, 1 in decreasing order.
1, 0.21, 0.1, -0.5, -4
Sort 0, 1, 2444, -4 in increasing order.
-4, 0, 1, 2444
Sort -5, 3, -3, 610.
-5, -3, 3, 610
Put 5.4, 4, -36, 2 in ascending order.
-36, 2, 4, 5.4
Sort 0.5, -632, -194, 3 in ascending order.
-632, -194, 0.5, 3
Sort 45, 3, -1079 in descending order.
45, 3, -1079
Sort 0, 12, -2, 635, -4 in decreasing order.
635, 12, 0, -2, -4
Sort -7, 3, -11, 4, 2, -18 in decreasing order.
4, 3, 2, -7, -11, -18
Put -0.1, -18, 5, 10, 1/5 in increasing order.
-18, -0.1, 1/5, 5, 10
Sort -5, 32, 2, -4, 103 in increasing order.
-5, -4, 2, 32, 103
Put -2.7, -3, -2/9, -1609, 0.3, 0 in ascending order.
-1609, -3, -2.7, -2/9, 0, 0.3
Sort 5, 10, -1, -46, 1 in increasing order.
-46, -1, 1, 5, 10
Sort 2271, 0, -5, 6 in decreasing order.
2271, 6, 0, -5
Put 0, -12/23, -3/62, 2/9 in decreasing order.
2/9, 0, -3/62, -12/23
Put 4, 0.1, -29, 36, 3, -0.6 in decreasing order.
36, 4, 3, 0.1, -0.6, -29
Put 2802, -3, 3 in decreasing order.
2802, 3, -3
Sort 0.196, -0.2, 4, -3 in decreasing order.
4, 0.196, -0.2, -3
Put -62, 3/11, 4, 1.8, 3/8, 5 in descending order.
5, 4, 1.8, 3/8, 3/11, -62
Sort -1, -23, -8, -4, 7 in increasing order.
-23, -8, -4, -1, 7
Put 62, -4, 119, -5 in decreasing order.
119, 62, -4, -5
Put -212, -7, -30 in descending order.
-7, -30, -212
Put 10, 124, -4, 11 in descending order.
124, 11, 10, -4
Sort -3/5, 0.04, 5, 3, -6, 1.4 in decreasing order.
5, 3, 1.4, 0.04, -3/5, -6
Sort 1, -2, -11, -350.
-350, -11, -2, 1
Sort 6, -4, 177.
-4, 6, 177
Sort -753, 0.4, -1, 1, -0.03 in increasing order.
-753, -1, -0.03, 0.4, 1
Put 2, -3, -11465 in decreasing order.
2, -3, -11465
Put -197, -0.4, 0.637 in descending order.
0.637, -0.4, -197
Put -33, 10, 1/3, 0 in descending order.
10, 1/3, 0, -33
Sort 7, 3/5, 3, -5, -10.78.
-10.78, -5, 3/5, 3, 7
Sort 5, -4, 2257.
-4, 5, 2257
Sort -21, 16, -30 in decreasing order.
16, -21, -30
Sort 2, -656, 47 in decreasing order.
47, 2, -656
Put 3, -529/2, -2, 1 in ascending order.
-529/2, -2, 1, 3
Sort -5, 1, -6, 26020 in ascending order.
-6, -5, 1, 26020
Sort -9, -3, -2, -4486 in decreasing order.
-2, -3, -9, -4486
Sort 146, -1, -4, -564 in increasing order.
-564, -4, -1, 146
Sort -13, -7, -2/3, 7, -3.
-13, -7, -3, -2/3, 7
Sort 1, 1/16, -10, 0.006 in descending order.
1, 1/16, 0.006, -10
Sort 71, -41, 2 in descending order.
71, 2, -41
Sort -1, -91, 3636.
-91, -1, 3636
Sort -4, 6, -927.
-927, -4, 6
Sort -2/7, 4/3, 17, 0.2, 4 in descending order.
17, 4, 4/3, 0.2, -2/7
Put 4240, 0, -0.2, 2/7 in decreasing order.
4240, 2/7, 0, -0.2
Sort -4, -1616, -13 in ascending order.
-1616, -13, -4
Sort -254, -6, -9 in decreasing order.
-6, -9, -254
Put -21737, 56, 3 in descending order.
56, 3, -21737
Put 16/13, 0.5, -4597 in ascending order.
-4597, 0.5, 16/13
Sort -12, -1, 5, -21, 24 in ascending order.
-21, -12, -1, 5, 24
Put -16550, -2/3, 0.5 in descending order.
0.5, -2/3, -16550
Sort -5, 24, 36, 12 in descending order.
36, 24, 12, -5
Sort -5, 0, 36, -6, -467 in decreasing order.
36, 0, -5, -6, -467
Sort -15, 3, -5, -7, -1, 78 in decreasing order.
78, 3, -1, -5, -7, -15
Sort -9, 3, -3, -1962, -5, -1 in increasing order.
-1962, -9, -5, -3, -1, 3
Sort -7, -0.5, -13 in decreasing order.
-0.5, -7, -13
Put -274, 5, 39, -5/2, 1/3 in descending order.
39, 5, 1/3, -5/2, -274
Sort 0.5, 122, -2/13, -0.4, -33.
-33, -0.4, -2/13, 0.5, 122
Sort 267818, 4, -5 in descending order.
267818, 4, -5
Put 4, -6, -306 in descending order.
4, -6, -306
Put 0, -4, 2, 38880 in decreasing order.
38880, 2, 0, -4
Put -3, -4, 4, 69, 335 in increasing order.
-4, -3, 4, 69, 335
Sort -5, 1/326, -8, 3 in ascending order.
-8, -5, 1/326, 3
Sort 5, 2, 11, 29, -14 in decreasing order.
29, 11, 5, 2, -14
Sort 4, -37, -7, -1, 1 in increasing order.
-37, -7, -1, 1, 4
Sort 24, 32, -7 in ascending order.
-7, 24, 32
Sort -2, -1147, -11 in decreasing order.
-2, -11, -1147
Put 2/23, -5, 5, 0.1, -2/27 in descending order.
5, 0.1, 2/23, -2/27, -5
Sort 0, -12, 15, -2, 6 in increasing order.
-12, -2, 0, 6, 15
Put 1, 3, 0.05, -2/19, -1 in descending order.
3, 1, 0.05
|
{
"pile_set_name": "DM Mathematics"
}
|
3 (b) -1.9 (c) 0.2 (d) 2/5 (e) -4 (f) 2/9 (g) 86
g
Which is the second biggest value? (a) 1.89 (b) 5/76 (c) -5.2 (d) -4
b
What is the second biggest value in -0.5759, 3/55, -2/5, 4?
3/55
What is the second smallest value in 0.14, -3, -5, 3, -71, -8/151, 16?
-5
Which is the second biggest value? (a) -5/8 (b) 1/4 (c) -1/2 (d) -12.22 (e) 23 (f) 2
f
Which is the fourth biggest value? (a) 0 (b) -0.09 (c) 10/7 (d) -0.4 (e) -3 (f) 199
b
Which is the smallest value? (a) -4 (b) -0.2 (c) 0.02 (d) -29 (e) -1.9
d
Which is the smallest value? (a) 10952.72 (b) -1/2 (c) 4/15
b
Which is the fifth biggest value? (a) 1/5 (b) -0.59 (c) 5 (d) 2711 (e) 2
b
Which is the fifth smallest value? (a) -2 (b) 22524 (c) 2.6 (d) -4 (e) -0.1
b
What is the second biggest value in -3, 7.8, 5, 1082, -1?
7.8
Which is the third smallest value? (a) -2/13 (b) 30365.8 (c) -66
b
What is the smallest value in 0.4, -1/3, 0.026, 1/18, -40776?
-40776
What is the smallest value in -0.5, 43198380, 4?
-0.5
What is the second biggest value in -1/9, -91195, -0.18, -2/17?
-2/17
What is the fifth smallest value in 5, 34, -0.9, -0.2, 942, 4, 0.3?
5
Which is the fourth biggest value? (a) 3 (b) 0.2 (c) -1/56 (d) 1 (e) -6/7 (f) -2987
c
Which is the smallest value? (a) 14 (b) -121 (c) -3877
c
Which is the fifth smallest value? (a) 4/7 (b) 8 (c) 2 (d) -2/19 (e) -0.3 (f) 1 (g) 29199
c
Which is the biggest value? (a) 2/3 (b) -0.713944 (c) 9
c
Which is the second biggest value? (a) 0.1 (b) -2/13 (c) 3317 (d) 0.12 (e) -0.09 (f) -3 (g) 6
g
Which is the third biggest value? (a) 0 (b) 120 (c) 9/25
a
Which is the third smallest value? (a) 9/11 (b) -0.2 (c) -0.051346
a
Which is the second smallest value? (a) -29 (b) -0.3 (c) 12 (d) 0.4 (e) 7.3
b
Which is the fourth biggest value? (a) 2 (b) -19 (c) 257/6 (d) -1
b
Which is the fourth biggest value? (a) -3/4 (b) 0 (c) 3/2 (d) 1 (e) -11/5 (f) -3/5363
f
Which is the fourth biggest value? (a) 1 (b) -0.5 (c) 0.07 (d) 2 (e) -4/3 (f) 14.48
c
Which is the fourth smallest value? (a) 2948 (b) -4 (c) 1/6 (d) -52.7 (e) -2
c
Which is the second biggest value? (a) 18 (b) 2/9 (c) 2/3 (d) -7481
c
Which is the fourth smallest value? (a) -2/5 (b) 1/6 (c) -1760093 (d) 2/9
d
Which is the third smallest value? (a) -33881 (b) -2413 (c) 3
c
Which is the second smallest value? (a) -0.07013 (b) 0.925 (c) -0.2 (d) 3
a
What is the smallest value in 45, 0.39, 0.7364?
0.39
What is the fourth biggest value in -3, -0.1, 5639, -114/13, -1?
-3
What is the third smallest value in 3/7, -2/7, -9, 539, -8.2?
-2/7
Which is the third smallest value? (a) 1595/13 (b) -36 (c) -0.1
a
What is the fourth biggest value in -4, 11.8, 8, 135/32?
-4
Which is the fourth biggest value? (a) -8419 (b) -69 (c) -34 (d) 3 (e) -1/2
b
What is the biggest value in -0.8, 5077166, 3/5?
5077166
Which is the sixth smallest value? (a) -2.2 (b) 14/15 (c) 17/3 (d) -4 (e) 2 (f) -1
c
What is the fifth biggest value in 1, 4/3, 2, -0.3, 1635, 5?
1
What is the fourth biggest value in 1/3, -2/7, 48198839, -0.1?
-2/7
Which is the biggest value? (a) 143 (b) -3/8 (c) -68.9 (d) 3 (e) -0.014
a
What is the third biggest value in -3, -0.2249, -0.1, 0, -5, -2, 5/3?
-0.1
What is the fifth smallest value in 0.2, 2, -1.22, 2310, 0.031?
2310
Which is the biggest value? (a) 0.5 (b) 1/6 (c) 0.04552 (d) 134.9
d
What is the second smallest value in 2/11, -93, -0.1, -52?
-52
What is the fourth biggest value in -1/3, -46/1115, -0.34, 0?
-0.34
What is the smallest value in 46, -272, 0, -0.4?
-272
Which is the third smallest value? (a) -0.5 (b) -100 (c) -4 (d) 3/8 (e) -3 (f) 11 (g) -1/8
e
What is the third biggest value in 11/9, -0.043567, -5?
-5
Which is the biggest value? (a) 0.2 (b) 7.626 (c) -8
b
Which is the third smallest value? (a) -0.06 (b) 3 (c) -38 (d) -4 (e) -21 (f) 0.1 (g) -0.4
d
Which is the third smallest value? (a) 3/2 (b) -28.779 (c) -2/55
a
What is the second smallest value in 5, -441.8, 0.03, -4, 0.108?
-4
What is the biggest value in 0, -1125, -0.1, 2/5, 137/3, -0.3, 3?
137/3
Which is the second smallest value? (a) 34354 (b) 0.4 (c) -7 (d) -4/7 (e) -2
e
What is the second smallest value in -0.1, -3, 2/5, 86968, -1/5?
-1/5
Which is the biggest value? (a) 1/175 (b) 19 (c) 0.1 (d) -61
b
Which is the third biggest value? (a) -3 (b) -128 (c) -4500 (d) -0.03
b
Which is the second smallest value? (a) -3 (b) 1456454.7 (c) -5
a
What is the third smallest value in -3, -2, 368120, -1/2, 0.5?
-1/2
What is the fifth biggest value in -1/2, -1.01, 3, 0.3, 18?
-1.01
What is the second smallest value in -5, -1, 13, -2/9, 0.06, 4464?
-1
What is the biggest value in -1/8, -2/7, -1/26, 0.82741?
0.82741
What is the biggest value in -4, 10/39, 5, 22?
22
What is the second biggest value in -0.3, -3, -0.1, 3/4, 1.637, 1, 1/7?
1
What is the smallest value in 2, 83, 3.4, -1/3, -68?
-68
Which is the fourth biggest value? (a) 0.2 (b) -12 (c) -1 (d) 0 (e) 2340
c
Which is the biggest value? (a) -86199 (b) -19 (c) 5/2 (d) 0.05
c
What is the second biggest value in 0.5, -39, -1, -0.2, -1.2092, -0.5?
-0.2
Which is the second biggest value? (a) 60 (b) -910708 (c) 3/5
c
Which is the smallest value? (a) -5/452 (b) 3/4 (c) 2033
a
Which is the second biggest value? (a) 16/3 (b) 0.1 (c) -0.3 (d) -11 (e) 2/21
b
Which is the fourth biggest value? (a) 2/9 (b) 0.4 (c) -0.03 (d) -3 (e) 1/7 (f) 694
e
What is the smallest value in -27/4, -0.026, 17, 1/6?
-27/4
Which is the third biggest value? (a) -3/5 (b) 0.4 (c) -872669
c
Which is the second smallest value? (a) -0.1 (b) -2 (c) -2/7 (d) 2/9 (e) 0.3 (f) -15 (g) -16
f
What is the third smallest value in -356.18, -5/184, -3/7?
-5/184
What is the fourth smallest value in -1/5, 0.2, -75.4, 18/17, -1/12?
0.2
What is the fourth biggest value in -4, 0.5, 22.8, 0.3, -3, 739?
0.3
What is the third biggest value in 110, -118, 0, 1, 5, -4, 5/3?
5/3
What is the third smallest value in 0.05997, 3, -0.4, -4, -138?
-0.4
What is the second smallest value in -2, 1, -13, 475153?
-2
Which is the third smallest value? (a) -0.4 (b) 2/13 (c) -2/11 (d) -772/33
c
What is the second smallest value in 0, 4.8091, -0.4, -3/7?
-0.4
Which is the fourth smallest value? (a) 0.022 (b) -2 (c) -9430 (d) 1 (e) -3
a
Which is the second biggest value? (a) 4.7 (b) -2214973 (c) 0
c
Which is the fourth biggest value? (a) 1/22 (b) -0.1 (c) 0.4 (d) -2.5 (e) -2/11
e
What is the fourth biggest value in -2964, -5, 2/19, -0.04, 2, -3, -1?
-1
Which is the fourth biggest value? (a) 0.05 (b) -0.4 (c) -2/9 (d) 47 (e) 1 (f) -474
c
Which is the fifth smallest value? (a) 58 (b) -3 (c) 0.06 (d) 0 (e) 7 (f) 6
e
What is the second biggest value in -1.2, -0.5, 15964.7, -5, 3/5?
3/5
What is the fourth smallest value in 0.2, 1, 14329/627, -0.2?
14329/627
Which is the fourth smallest value? (a) -9 (b) 16/503 (c) -2/79 (d) -2
b
Which is the seventh biggest value? (a) 1.38 (b) -0.5 (c) 0 (d) 1 (e) -6 (f) 261 (g) 3
e
Which is the sixth biggest value? (a) 5 (b) -3 (c) 0.2 (d) -1/4 (e) 1.7 (f) 12654 (g) 0
d
What is the fourth smallest value in -10, -3/8, 786, 1225?
1225
Which is the third biggest value? (a) -1 (b) 2/5 (c) -0.2 (d) -0.5435151
d
What is the biggest value in 4, 663, 0, -2/187, -2/15?
663
Which is the fifth smallest value? (a) -21 (b) -43 (c) -33 (d) -27 (e) 24
e
Which is the second smallest value? (a) -14.2 (b) -1/2 (c) 0.31 (d) 109
b
What is the second biggest value in 4, 4/5, 2/13, 1, 5/4, -1/8?
5/4
What is the fifth biggest value in -1, -484, -4, -1/7, -20, -7, 7?
-7
Which is the sixth smallest value? (a) 0.1 (b) 0.3 (c) 45 (d) 43 (e) -4 (f) 17
c
What is the seventh biggest value in 3, -5, 31, -9, -0.4, -4.21, 1/5?
-9
Which is the fourth smallest value? (a) -80 (b) -534 (c) 0.3 (d) 0 (e) -10/9
d
What is the fourth biggest value in -2/3, 0.4, -2/21, 0.1978, -0.4, 723?
-2/21
What is the fourth smallest value in -7255/11, -4, -0.3, -2?
-0.3
What is the second biggest value in -3.677, -3/23, 3/5, -3, 3, -1/9?
3/5
Which is the second biggest value? (a) 3 (b) 70160 (c) 0 (d) 0.1
a
What is the four
|
{
"pile_set_name": "DM Mathematics"
}
|
a'th term of -704342, -1408619, -2112896, -2817173?
-704277*a - 65
What is the u'th term of -4995, -5348, -6303, -8160, -11219, -15780?
-50*u**3 - u**2 - 4944
What is the i'th term of 429, 4629, 16039, 38265, 74913?
601*i**3 - i**2 - 4*i - 167
What is the l'th term of -77778344, -77778347, -77778350, -77778353, -77778356, -77778359?
-3*l - 77778341
What is the x'th term of -23279, -93192, -209705, -372782, -582387, -838484, -1141037, -1490010?
6*x**3 - 23336*x**2 + 53*x - 2
What is the t'th term of 15842311, 31684617, 47526919, 63369217?
-2*t**2 + 15842312*t + 1
What is the i'th term of -8673, -13498, -18333, -23184, -28057?
-i**3 + i**2 - 4821*i - 3852
What is the d'th term of -536, -605, -750, -1001, -1388?
-5*d**3 - 8*d**2 - 10*d - 513
What is the k'th term of 254052595, 254052590, 254052583, 254052574, 254052563, 254052550?
-k**2 - 2*k + 254052598
What is the t'th term of -361680, -723323, -1084966?
-361643*t - 37
What is the r'th term of -18789143, -18789155, -18789165, -18789173, -18789179?
r**2 - 15*r - 18789129
What is the q'th term of 19313115, 38626214, 57939313?
19313099*q + 16
What is the l'th term of 4439, 2986, 1533, 80?
-1453*l + 5892
What is the c'th term of 7459, 31949, 73481, 132055?
8521*c**2 - 1073*c + 11
What is the n'th term of 345346, 1381570, 3108602, 5526436, 8635066, 12434486, 16924690?
-n**3 + 345410*n**2 + n - 64
What is the d'th term of 1018, 3141, 7464, 15079, 27078, 44553?
182*d**3 + 8*d**2 + 825*d + 3
What is the u'th term of -14306, -26268, -38228, -50186, -62142, -74096?
u**2 - 11965*u - 2342
What is the m'th term of -58713654, -234854607, -528422862, -939418419, -1467841278?
-58713651*m**2 - 3
What is the z'th term of 453636969, 907273937, 1360910905?
453636968*z + 1
What is the h'th term of 15635, 21842, 32193, 46688?
2072*h**2 - 9*h + 13572
What is the y'th term of 178563, 179294, 180025?
731*y + 177832
What is the h'th term of 378904, 378937, 379020, 379177, 379432, 379809, 380332?
4*h**3 + h**2 + 2*h + 378897
What is the v'th term of -8757906, -35031596, -78821080, -140126358?
-8757897*v**2 + v - 10
What is the t'th term of 44273, 88788, 133303?
44515*t - 242
What is the k'th term of -12932, -12948, -12964, -12980, -12996?
-16*k - 12916
What is the i'th term of 506445, 1013331, 1520217, 2027103?
506886*i - 441
What is the b'th term of 3664, 54801, 105924, 157027, 208104, 259149, 310156?
-b**3 - b**2 + 51147*b - 47481
What is the k'th term of -910, -3406, -7290, -12340, -18334, -25050, -32266?
37*k**3 - 916*k**2 - 7*k - 24
What is the v'th term of -96931, -96980, -97027, -97072, -97115?
v**2 - 52*v - 96880
What is the q'th term of 21383, 17506, 13619, 9716, 5791, 1838, -2149, -6176?
-q**3 + q**2 - 3873*q + 25256
What is the v'th term of 8224, 16464, 24720, 32992, 41280?
8*v**2 + 8216*v
What is the x'th term of -433971, -867406, -1300841, -1734276?
-433435*x - 536
What is the r'th term of -4459, -2448, -471, 1454, 3309, 5076, 6737, 8274?
-3*r**3 + r**2 + 2029*r - 6486
What is the v'th term of -2479, -6056, -9637, -13222, -16811, -20404, -24001?
-2*v**2 - 3571*v + 1094
What is the f'th term of -163729, -326459, -488193, -648931?
498*f**2 - 164224*f - 3
What is the u'th term of -30896, -62029, -93162, -124295, -155428, -186561?
-31133*u + 237
What is the b'th term of -11853, -12612, -13371?
-759*b - 11094
What is the o'th term of -588, -1013, -1108, -711, 340?
27*o**3 + 3*o**2 - 623*o + 5
What is the y'th term of 2641265, 21130149, 71314261, 169041215, 330158625?
2641269*y**3 + y - 5
What is the u'th term of 3122, 4890, 7822, 11912, 17154, 23542?
-u**3 + 588*u**2 + 11*u + 2524
What is the m'th term of -251802, -251746, -251684, -251616?
3*m**2 + 47*m - 251852
What is the w'th term of -3248, -13894, -31638, -56480, -88420, -127458?
-3549*w**2 + w + 300
What is the k'th term of -2477686, -2477689, -2477692, -2477695, -2477698, -2477701?
-3*k - 2477683
What is the d'th term of 1363, 2853, 7139, 15619, 29691, 50753, 80203, 119439?
233*d**3 - 141*d + 1271
What is the h'th term of -651207202, -1302414408, -1953621616, -2604828826, -3256036038, -3907243252?
-h**2 - 651207203*h + 2
What is the i'th term of 220041, 220053, 220065, 220077?
12*i + 220029
What is the n'th term of -574, -752, -982, -1264, -1598, -1984, -2422?
-26*n**2 - 100*n - 448
What is the n'th term of 2606595, 5213178, 7819761, 10426344?
2606583*n + 12
What is the z'th term of 112080785, 112080772, 112080757, 112080740, 112080721?
-z**2 - 10*z + 112080796
What is the z'th term of 701, 1416, 2133, 2858, 3597, 4356?
z**3 - 5*z**2 + 723*z - 18
What is the y'th term of 57095, 57125, 57163, 57209, 57263, 57325?
4*y**2 + 18*y + 57073
What is the q'th term of 8787, 34994, 78665, 139800?
8732*q**2 + 11*q + 44
What is the p'th term of -8064, -32371, -72886, -129609, -202540, -291679?
-8104*p**2 + 5*p + 35
What is the y'th term of 3560411, 3560451, 3560517, 3560609?
13*y**2 + y + 3560397
What is the b'th term of 178880, 182959, 187038, 191117, 195196?
4079*b + 174801
What is the k'th term of 52834, 105581, 158242, 210817?
-43*k**2 + 52876*k + 1
What is the j'th term of -2248690, -2248704, -2248722, -2248744, -2248770?
-2*j**2 - 8*j - 2248680
What is the z'th term of -405350, -405739, -406388, -407297, -408466, -409895?
-130*z**2 + z - 405221
What is the s'th term of 9696, 38799, 87302, 155205?
9700*s**2 + 3*s - 7
What is the h'th term of 1586193, 3172154, 4758115, 6344076?
1585961*h + 232
What is the m'th term of -2621, -229, 12109, 39367, 86519, 158539, 260401?
829*m**3 - m**2 - 3408*m - 41
What is the f'th term of 2039, 6654, 14339, 25094, 38919, 55814, 75779?
1535*f**2 + 10*f + 494
What is the w'th term of 2739, 3034, 3329, 3624?
295*w + 2444
What is the r'th term of -12782280, -12782283, -12782288, -12782295, -12782304?
-r**2 - 12782279
What is the l'th term of -1369662, -5478659, -12326988, -21914649, -34241642?
-1369666*l**2 + l + 3
What is the x'th term of 204143, 203380, 202617, 201854?
-763*x + 204906
What is the f'th term of -1646493, -6585961, -14818411, -26343849, -41162281?
-f**3 - 1646485*f**2 - 6*f - 1
What is the i'th term of -11064, -12022, -12980, -13938, -14896, -15854?
-958*i - 10106
What is the r'th term of -756650, -756626, -756566, -756452, -756266, -755990?
3*r**3 + 3*r - 756656
What is the y'th term of -55344, -221174, -497548, -884460, -1381904?
y**3 - 55278*y**2 - 3*y - 64
What is the r'th term of -8611, -34555, -77793, -138325, -216151, -311271?
-8647*r**2 - 3*r + 39
What is the h'th term of -28511, -64174, -106977, -156914, -213979?
h**3 - 3576*h**2 - 24942*h + 6
What is the d'th term of -832, -1356, -1580, -1504, -1128?
150*d**2 - 974*d - 8
What is the s'th term of 3184, 13222, 30016, 53566, 83872?
3378*s**2 - 96*s - 98
What is the b'th term of 140, 15, -162, -361, -552?
5*b**3 - 56*b**2 + 8*b + 183
What is the u'th term of -638, -134, 654, 1684, 2914, 4302?
-7*u**3 + 184*u**2 + u - 816
What is the p'th term of 43445, 86970, 130485, 173990, 217485?
-5*p**2 + 43540*p - 90
What is the u'th term of 1717, 546, -6373, -21914, -48951, -90358, -149009?
-479*u**3 + 2182*u + 14
What is the o'th term of 611183, 1222960, 1834737?
611777*o - 594
What is the o'th term of 41634, 166780, 375380, 667434, 1042942?
41727*o**2 - 35*o - 58
What is the v'th term of 881712, 881715, 881718?
3*v + 881709
What is the i'th term of 1662263, 3324506, 4986749, 6648992, 8311235, 9973478?
1662243*i + 20
What is the d'th term of 99, 415, 1047, 2097, 3667, 5859, 8775, 12517?
17*d**3 + 56*d**2 + 29*d - 3
What is the h'th term of -16540, -12272, -8004, -3736?
4268*h - 20808
What is the k'th term of -69985, -279828, -629563, -1119190?
-69946*k**2 - 5*k - 34
What is the i'th term of 211, 161, 97, 31, -25, -59?
2*i**3 - 19*i**2 - 7*i + 235
What is the g'th term of -5725, -12279, -18829, -25375, -31917, -38455?
2*g**2 - 6560*g + 833
What is the g'th term of -119015361, -119015364, -119015369, -119015376?
-g**2 - 119015360
What is the m'th term of -91048411, -91048414, -91048417, -91048420, -91048423, -91048426?
-3*m - 91048408
What is the t'th term of 1724379, 3448836, 5173293, 6897750, 8622207, 10346664?
1724457*t - 78
What is the u'th term of 239228, 478707, 718186?
239479*u - 251
What is the c'th term of -16013537, -16013536, -16013535, -16013534, -16013533, -1
|
{
"pile_set_name": "DM Mathematics"
}
|
the highest common factor of 16 and 11216.
16
Calculate the highest common factor of 105 and 2130.
15
Calculate the greatest common divisor of 7134 and 696.
174
What is the highest common factor of 12 and 4928?
4
Calculate the greatest common divisor of 3 and 29.
1
Calculate the highest common divisor of 243 and 6.
3
Calculate the greatest common divisor of 154 and 66.
22
What is the highest common divisor of 276 and 12?
12
What is the highest common divisor of 385 and 595?
35
What is the highest common divisor of 64 and 160?
32
Calculate the highest common divisor of 290 and 116.
58
What is the highest common divisor of 88 and 5296?
8
What is the highest common divisor of 4981 and 17?
17
Calculate the greatest common divisor of 754 and 52.
26
What is the greatest common factor of 34681 and 158?
79
What is the greatest common divisor of 33957 and 11?
11
Calculate the greatest common factor of 3009 and 177.
177
What is the greatest common divisor of 366 and 610?
122
What is the highest common factor of 36 and 99?
9
What is the highest common factor of 714 and 102?
102
What is the greatest common factor of 14 and 1792?
14
What is the highest common factor of 135 and 459?
27
What is the highest common divisor of 469 and 28?
7
What is the greatest common factor of 350 and 21?
7
What is the greatest common divisor of 4 and 5920?
4
Calculate the highest common factor of 51 and 4029.
51
What is the greatest common divisor of 49 and 2058?
49
Calculate the greatest common factor of 110 and 220.
110
What is the highest common divisor of 80 and 19580?
20
Calculate the highest common divisor of 98 and 3479.
49
What is the greatest common factor of 290 and 377?
29
What is the greatest common factor of 6016 and 1692?
188
Calculate the greatest common factor of 87 and 406.
29
Calculate the highest common factor of 517 and 376.
47
Calculate the highest common factor of 177 and 14101.
59
Calculate the greatest common factor of 20 and 66860.
20
Calculate the greatest common factor of 36 and 13.
1
What is the highest common divisor of 10057 and 1808?
113
Calculate the greatest common divisor of 26 and 4.
2
What is the greatest common factor of 8 and 498?
2
What is the greatest common divisor of 252 and 180?
36
What is the greatest common divisor of 24 and 438?
6
Calculate the greatest common factor of 232 and 2958.
58
What is the highest common divisor of 1750 and 75?
25
Calculate the highest common divisor of 32 and 29968.
16
What is the greatest common factor of 6 and 78?
6
What is the greatest common factor of 200 and 10?
10
Calculate the highest common divisor of 33 and 2937.
33
Calculate the highest common divisor of 22 and 671.
11
What is the greatest common divisor of 65 and 24245?
65
What is the highest common factor of 50 and 200?
50
Calculate the highest common factor of 5617 and 41.
41
What is the greatest common factor of 705 and 15?
15
What is the highest common divisor of 534 and 12?
6
What is the highest common divisor of 2413 and 254?
127
What is the highest common factor of 72 and 104?
8
What is the greatest common divisor of 675 and 27?
27
Calculate the greatest common factor of 40 and 152.
8
Calculate the highest common divisor of 16 and 22.
2
Calculate the highest common factor of 30930 and 30.
30
What is the greatest common factor of 143 and 7?
1
Calculate the highest common divisor of 232 and 29.
29
Calculate the greatest common divisor of 2 and 2722.
2
Calculate the highest common divisor of 384 and 2448.
48
What is the greatest common divisor of 8 and 216?
8
Calculate the greatest common divisor of 186 and 4.
2
Calculate the highest common divisor of 1197 and 133.
133
Calculate the highest common divisor of 161 and 14.
7
What is the highest common divisor of 10738 and 130?
26
Calculate the highest common divisor of 1100 and 44.
44
Calculate the highest common factor of 161 and 23.
23
What is the highest common divisor of 156 and 36?
12
What is the highest common factor of 533 and 39?
13
Calculate the highest common factor of 168 and 264.
24
What is the greatest common factor of 61 and 244?
61
Calculate the greatest common divisor of 270 and 580.
10
What is the highest common factor of 59 and 59?
59
What is the highest common factor of 130 and 143?
13
What is the highest common divisor of 533 and 41?
41
Calculate the greatest common factor of 176 and 12.
4
Calculate the highest common factor of 400 and 25.
25
What is the greatest common divisor of 6180 and 40?
20
Calculate the highest common factor of 11946 and 132.
66
What is the highest common factor of 988 and 76?
76
What is the greatest common factor of 72 and 666?
18
What is the greatest common divisor of 24150 and 644?
322
Calculate the greatest common factor of 589 and 76.
19
Calculate the greatest common divisor of 114 and 969.
57
What is the greatest common factor of 1184 and 32?
32
What is the highest common divisor of 8374 and 265?
53
Calculate the greatest common factor of 24616 and 181.
181
What is the highest common divisor of 26 and 91?
13
What is the greatest common factor of 312 and 26?
26
What is the greatest common divisor of 332 and 22742?
166
Calculate the highest common factor of 142 and 9514.
142
Calculate the highest common factor of 99 and 45.
9
What is the greatest common factor of 305 and 5?
5
What is the highest common factor of 9 and 237?
3
Calculate the greatest common divisor of 1701 and 42.
21
What is the greatest common factor of 260 and 728?
52
Calculate the greatest common factor of 774 and 36.
18
Calculate the highest common factor of 44 and 319.
11
What is the highest common factor of 517 and 470?
47
What is the highest common divisor of 12 and 1236?
12
Calculate the greatest common divisor of 364 and 1144.
52
What is the greatest common factor of 2583 and 328?
41
Calculate the highest common factor of 35883 and 9.
9
Calculate the highest common factor of 2355 and 10.
5
Calculate the greatest common factor of 45 and 5.
5
What is the greatest common factor of 954 and 530?
106
Calculate the highest common factor of 2 and 478.
2
What is the highest common factor of 26 and 494?
26
Calculate the highest common divisor of 468 and 36.
36
What is the highest common factor of 12 and 36?
12
What is the highest common divisor of 5285 and 35?
35
What is the highest common divisor of 130 and 65?
65
What is the highest common divisor of 1188 and 36?
36
What is the greatest common divisor of 342 and 646?
38
Calculate the greatest common divisor of 154 and 44.
22
Calculate the greatest common divisor of 68 and 4930.
34
Calculate the greatest common divisor of 7 and 511.
7
Calculate the greatest common factor of 902 and 176.
22
What is the highest common divisor of 29204 and 196?
196
Calculate the highest common divisor of 180 and 24.
12
Calculate the greatest common factor of 37 and 629.
37
Calculate the highest common divisor of 42 and 2982.
42
What is the highest common factor of 7700 and 693?
77
Calculate the highest common divisor of 468 and 396.
36
Calculate the highest common factor of 10 and 5376.
2
What is the greatest common factor of 116 and 1856?
116
Calculate the highest common factor of 90 and 270.
90
Calculate the highest common factor of 844 and 16.
4
Calculate the highest common factor of 6 and 1002.
6
Calculate the greatest common factor of 35 and 95.
5
Calculate the highest common divisor of 102 and 2499.
51
What is the greatest common factor of 272 and 34?
34
Calculate the greatest common divisor of 400 and 784.
16
What is the greatest common factor of 1611 and 9?
9
Calculate the highest common divisor of 13 and 3991.
13
What is the greatest common divisor of 8797 and 437?
19
What is the highest common factor of 243 and 288?
9
Calculate the highest common divisor of 242 and 22.
22
What is the highest common divisor of 12 and 76?
4
What is the highest common divisor of 676 and 42250?
338
What is the greatest common factor of 1914 and 528?
66
Calculate the highest common factor of 209 and 76.
19
Calculate the highest common factor of 874 and 38.
38
Calculate the highest common factor of 72 and 6408.
72
What is the highest common factor of 19194 and 42?
42
What is the greatest common factor of 292 and 20294?
146
Calculate the highest common factor
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2). Let f be (-27)/(-12)*i/(-6). Calculate the highest common divisor of 21 and f.
21
Let h be (-14)/(-1)*3/6. Let a = -93 + 50. Let z = 92 + a. Calculate the highest common factor of z and h.
7
Let z be (-2 + 0)*(-6)/4. Suppose -3*j - 22 = -169. Suppose -412 = -z*m - j. What is the greatest common divisor of m and 11?
11
Let t(o) = o**3 - 2*o**2 - 2*o. Let m be t(4). Suppose 0 = -2*c - 2*x + m, -2*c + 5*x = -0 - 10. What is the greatest common divisor of c and 5?
5
Let g(c) = -3*c + 3. Let j be g(-1). What is the highest common divisor of 2 and j?
2
Let x = 51 + -50. Calculate the highest common divisor of x and 5.
1
Let c(b) = -b**2 - 13*b - 11. Let i be c(-9). Let z = -10 + i. What is the greatest common factor of z and 105?
15
Let s(z) = -36*z**3 + 40*z - 40*z. Let j be s(-1). Calculate the greatest common divisor of j and 9.
9
Let c = 2 + 4. Let b be (1 - 0)/(c/258). Suppose -2*u = -4*o + 92, -b - 62 = -5*o + 5*u. What is the greatest common factor of o and 10?
5
Suppose 2*d - 163 = -5*t, 2*d - 174 + 44 = -4*t. Let j(g) = -g**3 - 2*g**2 + 2*g. Let q be j(-3). Calculate the greatest common factor of q and t.
3
Let p = 50 + -35. What is the greatest common divisor of 120 and p?
15
Let a = 4 - 2. Suppose -44 = -2*d - a*d. What is the greatest common divisor of d and 33?
11
Let d = 70 + -26. Let h = 20 + d. Suppose 4*g - 24 = 40. What is the highest common factor of g and h?
16
Suppose -4*u - 1 + 9 = 0. Let w be 0 - u - (6 - 78). Calculate the highest common divisor of w and 28.
14
Let s(g) = -g**3 + 7*g - 1. Let d be s(-3). Calculate the greatest common factor of 25 and d.
5
Let k be (-498)/(-14) - 8/14. Calculate the highest common factor of k and 5.
5
Let g(s) be the second derivative of 5*s**3/2 + s**2 - 3*s. Let u be g(2). What is the greatest common factor of 48 and u?
16
Suppose -n = 4*m - 4, -n - m + 29 = n. Suppose -p + 26 = 2*u, -5*p + 2*u = u - 75. What is the highest common divisor of p and n?
16
Suppose -87 = -2*g + 4*x + 37, -3*x = -3*g + 177. What is the greatest common factor of 7 and g?
7
Let y(o) = -o**3 + 3*o**2 + 5*o - 1. Suppose 16 = -0*c + 4*c. Let g be y(c). Let i be 0 + 0/g + 2. Calculate the greatest common factor of 14 and i.
2
Let n(u) = -17*u. Let o(q) = -16*q. Let v(r) = -5*n(r) + 4*o(r). Let b be v(3). What is the greatest common divisor of 7 and b?
7
Suppose 3*u + 3*x - 4*x = 1084, 0 = 2*u - 5*x - 740. Suppose 5*l + 6*a - u = a, -2*a = 0. What is the greatest common divisor of l and 9?
9
Let g be (-9)/36 - (-29)/4. Calculate the greatest common factor of g and 63.
7
Suppose y = -5*a + 79, -3*a + 21 = -3*y - 30. Calculate the highest common divisor of 4 and a.
4
Let y(u) be the second derivative of -u**3/2 - 3*u**2/2 - u. Let r be y(-3). Suppose 0 = 4*t + t - 210. What is the highest common divisor of r and t?
6
Let j be (-6)/21 - (-4)/14. Suppose j = 2*h - 0 + 2. Let l be (h + 2 + 0)*2. What is the highest common factor of l and 14?
2
Let c = 71 + -39. Let h(y) = 3 + 1 - 9*y**3 + 8*y**3. Let s be h(0). What is the greatest common factor of s and c?
4
Suppose 2*r + 12 = 5*o - 4, 4*r = -4*o - 4. Suppose 3*v = 4*u + 56, 0*u - u = o*v - 41. What is the greatest common factor of 4 and v?
4
Suppose -180 = -3*m + 249. What is the highest common divisor of m and 13?
13
Let d be -2 - (2 - (-42)/(-3)). Let z(i) = 3*i - 12. Let w be z(d). Calculate the greatest common divisor of 27 and w.
9
Suppose 16 = 2*a - a. Let k be 9/2 - (-3)/(-6). Suppose 0 = -k*l - 5*f + 69, 0 = -0*l - l - 5*f + 21. Calculate the highest common divisor of a and l.
16
Let o = 112 - 78. Calculate the highest common divisor of 34 and o.
34
Let h = 3 + -3. Suppose h = -2*v - v. Suppose -w + 10 = 4*y - 5*y, v = -w + 2*y + 12. Calculate the highest common divisor of 40 and w.
8
Suppose -2*g - 127 = j - 4*j, j - 4*g - 29 = 0. Suppose u - 46 = 4*c, -u - 2*u - 18 = c. Let i be 3*(-4)/(16/c). What is the highest common divisor of j and i?
9
Suppose -2*o + o + 75 = 0. Let b = o + -15. Let s(n) = 4*n - 9. Let l be s(6). What is the greatest common factor of b and l?
15
Suppose -84 = -8*j + 36. Calculate the highest common divisor of 5 and j.
5
Let i be (216/(-10))/(((-48)/(-30))/(-8)). Calculate the highest common factor of 27 and i.
27
Suppose -o - h - 2 = -5, 2*h + 29 = 5*o. Calculate the highest common divisor of 25 and o.
5
Suppose 5*q = 2*q + 21. Suppose 475 = -6*b + b. Let s = b + 158. Calculate the greatest common factor of s and q.
7
Let g(v) = 4 - 4*v**2 + 3*v**3 + 5*v - 8 + 0*v. Let c = 1 - -2. Let f be g(c). What is the greatest common divisor of 8 and f?
8
Suppose m + 3*m = 84. Suppose 0 = -2*f + m + 9. Calculate the highest common divisor of 105 and f.
15
Let t be -6*-33*(-8)/(-36). Let m = -13 + t. Calculate the greatest common divisor of 279 and m.
31
Suppose 3*j = d - 3*d + 46, 73 = 4*j + 5*d. Let k = 26 + j. What is the greatest common factor of k and 19?
19
Let b(r) = -2*r - 16. Let f(m) = m + 8. Let q(x) = -3*b(x) - 7*f(x). Let c be q(-10). Let t = 9 + 7. Calculate the greatest common divisor of t and c.
2
Let f be 8/(-56) + (-85)/(-7). What is the greatest common factor of 4 and f?
4
Suppose 5*y = 2*l + 4*y - 9, -5*l - 2*y = 0. Let t be 37 + -5 + 6/2. Suppose -9 = -4*z - 5*g + 6, g = 3*z - t. What is the greatest common factor of l and z?
2
Let u(p) = 5*p**3 + 4*p**2 - 4*p + 2. Let g be u(2). What is the highest common divisor of 75 and g?
25
Suppose -7*s + 272 + 344 = 0. What is the highest common factor of 44 and s?
44
Let x be 2 - (3 - (4 - 6)). Let y be (-1)/x - (-1926)/54. Calculate the highest common factor of 9 and y.
9
Let c(w) = 42*w - 6. Let y be c(4). Suppose 0 = 2*t + 3*f - y, 3*t + 3*f - 330 = -t. Calculate the highest common divisor of t and 12.
12
Suppose 0 = n + 3*n - 28. What is the highest common factor of 119 and n?
7
Let i = -12 - -22. Suppose 2*v + 2 - 10 = 0. Let u(x) = 2*x**3 - 4*x**2 + 5*x - 4. Let j be u(v). What is the highest common factor of j and i?
10
Let i(v) = -6*v - 9. Let r = 1 + -8. Let s be i(r). Suppose 3*g = -2*f + 28 + 13, 2*f - 8 = 0. What is the highest common divisor of g and s?
11
Let t = -1 - -5. Calculate the highest common factor of 16 and t.
4
Suppose 4*i - 4*p = -104, -3*i + p - 2*p - 86 = 0. Let q = i - -48. Let j(h) = -h**2 - 11*h. Let v be j(-6). Calculate the highest common divisor of q and v.
10
Let l = 20 + -8. Let x be 2 + (-2 + 3 - 0). Suppose x*s = s + 12. Calculate the greatest common factor of l and s.
6
Let n = 94 + -29. Let p = n + -41. What is the highest common factor of 12 and p?
12
Let z = 4 + 22. Calculate the highest common divisor of z and 182.
26
Suppose 3*a = -33 + 81. What is the highest common divisor of 40 and a?
8
Let t(m) = 2*m**3 - 2*m**2 + m - 1. Let r be t(2). Calculate the highest common divisor of 45 and r.
9
Let g be (405/(-18))/(1/(-2)). Calculate the greatest common divisor of 5 and g.
5
Let y(k) = 6 + 4 - 4*k**2 - k**3 - 6. Let x be y(-4). Suppose -16 = -3*d + d. Calculate the greatest common divisor of d and x.
4
Suppose 2*b - 3*j = -2*b - 13, 2*j = -3*b - 14. Let g(z) = 6*z**2 + 6*z. Let v be g(b). Calculate the highest common factor of 8 and v.
8
Let o be -14*(-3 - (-5)/2 - 1). What is the greatest common divisor of o and 147?
21
Suppose 0*l = -3*l + 42. What is the highest common divisor of 2 and l?
2
Let l be 5810/34 - (-2)/17. What is the greatest common factor of 19 and l?
19
Let w(n) = -7*n**3 - 3*n**2 + 1. Let f be w(-2). Calculate the highest common factor of f and 18.
9
Let w = 24 - 4. Suppose -c = -l + 1 - 3, -5*c + 16 = -2*l. Let k be (l/(-6))/(2/(-30)). What is the greatest common divisor of k and w?
5
Let s = -6 + 8. Suppose 0 = d + s*d - 42. Let o be (-2)/5*(-34 + -1). What is the highest common divisor of d and o?
14
Suppose -3*o - 52 = -7*o - 5*w, 5*o - 5*w - 110 = 0. Calculate the greatest common divisor of o and 90.
18
Suppose 5*f - 28 = 17. Let c be 6/(-24) - 33/(-4). Let o = c - -28. Calculate the greatest common factor of o and f.
9
Suppose -3*f = 2*b - 56, 4*b + 90 = 5*f + 9*b. What is the highest common divisor of f and 20?
20
Suppose -90 = 10*o - 20*o. What is the highest common factor of o and 153?
9
Suppose w + 20 = -29. Let u = -29 - w. What is the greatest common factor of u and 50?
10
Suppose 4*u + 2*v = 7*u - 19, -2*u
|
{
"pile_set_name": "DM Mathematics"
}
|
) 170
b
Which is the closest to -4/7? (a) 5 (b) -16 (c) 2/13 (d) 11
c
What is the nearest to 2 in -1/4, 0.4, 17/5, -2, -53?
17/5
Which is the nearest to 0? (a) -1/5 (b) -3 (c) 57/4 (d) -2/33
d
Which is the nearest to 1? (a) 0.3 (b) -46 (c) -21/8 (d) 5
a
What is the closest to -1 in -8, -3/26, -1/8?
-1/8
Which is the closest to -121? (a) 5/3 (b) -55 (c) 5 (d) -1/5
b
Which is the nearest to 9? (a) -3/5 (b) 247 (c) -3/4
a
Which is the closest to 3? (a) -1 (b) 1/2 (c) -1/3 (d) -0.21 (e) -2/7
b
What is the closest to -8 in 244, 0, -2/5, 5, 2?
-2/5
What is the nearest to 0 in 1.459, -2/9, -4, 0.3, -5?
-2/9
Which is the closest to -0.1? (a) 5 (b) -412 (c) 1.8
c
Which is the nearest to -1? (a) -0.1 (b) -1/8 (c) -36 (d) -7/5 (e) -2
d
Which is the nearest to 91? (a) 2/3 (b) 8/3 (c) -1 (d) -4
b
What is the closest to 4 in 0.08, -3, 0?
0.08
Which is the nearest to -75? (a) -1/5 (b) 1 (c) 1/11
a
What is the closest to -0.1 in 0.5, -0.3, -18/5, -26?
-0.3
What is the closest to -0.1 in -2, -3, -0.1, -3/74?
-0.1
What is the closest to -0.2 in 10, -80/7, 2?
2
Which is the closest to 1/23? (a) 4/7 (b) 4 (c) 168 (d) 2/21
d
Which is the nearest to -1/4? (a) 2/9 (b) -3/29 (c) -4
b
Which is the nearest to 1/4? (a) 0.3 (b) -0.2 (c) 18.38 (d) -0.06
a
Which is the closest to -0.1? (a) 122 (b) 4 (c) -2 (d) -1/2 (e) 1/8
e
Which is the closest to 0.48? (a) 3 (b) -0.4 (c) 1.1 (d) -1/30
d
What is the closest to 1/2 in -44521, 3, 5?
3
Which is the closest to 1? (a) 3/2 (b) -65 (c) 0 (d) -1/2
a
What is the closest to -1/3 in -2, -113, -1/15, -9, 4?
-1/15
Which is the closest to -9? (a) -0.3 (b) 2 (c) 7 (d) -21 (e) 0.1
a
Which is the closest to -0.4? (a) -0.01 (b) -5 (c) 5
a
Which is the closest to -44? (a) 3/14 (b) -0.5 (c) -0.44
b
What is the nearest to -2222 in 1/7, -1/3, 5?
-1/3
Which is the closest to -0.2? (a) -0.02187 (b) 3 (c) -1
a
What is the closest to 44.1 in -2/13, -0.2, -4, 0.2, 5?
5
What is the nearest to -1 in -2/7, 3, -7.8, 5, 9/4?
-2/7
Which is the nearest to -1/3? (a) -0.7 (b) 5/2 (c) -3 (d) -0.0245 (e) -1
d
What is the closest to -1/3 in 4, -17, 7, 14?
4
Which is the nearest to -2/5? (a) 0.1 (b) -554 (c) -1/5 (d) -0.1 (e) 4
c
What is the closest to 14 in -0.022, -2, -22, -5?
-0.022
What is the closest to 4 in -55, -5, 6.1?
6.1
What is the nearest to 1 in 1, 0.5, 1.64767?
1
What is the closest to 3/4 in 1, -0.028, 3/7?
1
Which is the closest to -0.03? (a) -0.5 (b) 3/4450 (c) 0
c
Which is the nearest to 1? (a) 14059 (b) 3/4 (c) 0.04
b
Which is the nearest to 56/11? (a) 5 (b) 1 (c) 1130
a
What is the closest to -635/4 in -2/9, 4, 1, 16?
-2/9
What is the closest to 6.6 in 0.3, -2, -4, -2/9, -3?
0.3
Which is the closest to 2/3? (a) 1/274 (b) -22 (c) 4
a
What is the nearest to 441 in -12/17, 3, 1/5, -1, 0?
3
What is the closest to 1 in 19, -1/3, 2, -52/9?
2
Which is the closest to 6? (a) 0.3 (b) 10 (c) 0.2 (d) 11/5
d
Which is the nearest to -2/3? (a) -3 (b) -38 (c) -12
a
What is the nearest to 0.5 in 0.1, -0.12, -116/5, -4?
0.1
What is the closest to 0 in -45/16, -2, -0.4?
-0.4
What is the closest to 1.58 in 3, 2/27, 3/17?
3/17
What is the closest to -0.146 in -33, 0, 1/8, 1?
0
Which is the nearest to -0.1? (a) 0 (b) -2 (c) 0.04 (d) 3
a
Which is the nearest to 471? (a) -0.4 (b) -0.05 (c) 1 (d) 2 (e) -0.3
d
What is the closest to -0.1 in 0.02823, 3, -5/3?
0.02823
Which is the nearest to 0.1? (a) -269/30 (b) 4 (c) 0.4
c
What is the closest to 12 in -7, 13/2, 0.05, -6?
13/2
What is the nearest to -0.1 in 0.4, -900, -156?
0.4
What is the closest to 0.05 in 4, 36.06, -0.1?
-0.1
Which is the closest to 0? (a) 0.21 (b) -4 (c) -0.0403 (d) 1/6
c
Which is the nearest to 70? (a) 1/10 (b) 13 (c) -0.02 (d) 0.3
b
Which is the nearest to -3? (a) -23 (b) 2/45 (c) -1/8
c
Which is the closest to -0.1? (a) 63 (b) -8 (c) 4 (d) 3/2
d
Which is the nearest to 1? (a) 4 (b) 2 (c) 2/305 (d) -4
c
Which is the nearest to -5? (a) 5 (b) -12668 (c) 0
c
What is the closest to -2/9 in -4, 1, 204, -2?
1
Which is the nearest to -0.1? (a) -0.84 (b) -10/21 (c) 2/11 (d) 2
c
What is the nearest to -1.3 in 1, -0.2, 0.06?
-0.2
What is the closest to -2/11 in -2/15, 5, -1/5?
-1/5
What is the closest to -27 in -0.37, 0.2, -0.1?
-0.37
What is the closest to 0.01 in 6, -0.2, 1, 2, 0.13?
0.13
Which is the closest to 35? (a) 2/5 (b) -1/6 (c) -4/7 (d) 1/3
a
Which is the nearest to -4304? (a) 1 (b) -1 (c) 10
b
What is the nearest to -0.031 in -0.906, 1/3, -0.1?
-0.1
Which is the closest to 0? (a) -27 (b) -0.3 (c) 2 (d) 1/2 (e) 44
b
Which is the nearest to 2/3? (a) -130 (b) 0.5 (c) 15/8
b
Which is the closest to -0.2? (a) -2/5 (b) -19/4 (c) -0.87
a
What is the nearest to -0.07 in 0.075, 1.3, 4/3?
0.075
What is the nearest to 12/5 in -2/7, 0.3, 35.1, 2/5?
2/5
What is the closest to -11 in 3, 0.2, 2.07, -37?
0.2
Which is the closest to 4? (a) -5 (b) -2/13 (c) 23 (d) 4 (e) -3/7
d
Which is the closest to 26? (a) 130 (b) 5 (c) -2/7
b
Which is the closest to 1? (a) 27 (b) 1/3 (c) 5/14 (d) -2/41 (e) -3
c
Which is the nearest to -7? (a) 2/7 (b) 0.2 (c) -8 (d) -2/19 (e) 63
c
Which is the closest to 2/3? (a) -0.1 (b) -3/10 (c) 0.2 (d) 0.4 (e) -3.46
d
What is the nearest to -5 in -3, 53628, 0.2?
-3
What is the nearest to -0.2 in 0.03, -21, -1/2, -3?
0.03
What is the closest to 0.1 in 0.5, 0.2, 1/3, 28/4583, -4?
28/4583
What is the closest to -1/2 in -5, 0.2, -1.16?
-1.16
What is the nearest to 0 in 2/13, -797, -1, 31/3, -2/7?
2/13
What is the nearest to 52/19 in 3, 6, 0.3?
3
Which is the closest to 4/9? (a) -2 (b) 1/2 (c) 1.9 (d) 16
b
What is the closest to 0.55 in 0.4, 0.1, -17?
0.4
What is the nearest to 2 in 78/11, -1/2, -0.06, 3, 0.1?
3
What is the nearest to 61.36 in -1/4, 6, -2?
6
What is the closest to 0.05 in 10, 6, -2/111?
-2/111
What is the nearest to 0.1 in 4, 1/145, -2, 5, 7?
1/145
What is the nearest to -2/7 in 1/3, 1096, -2/27?
-2/27
What is the closest to -1 in 5/41, -4.2, -1/2?
-1/2
What is the closest to 2 in -0.09, -0.4, -1/4, -0.3?
-0.09
Which is the closest to -2/11385? (a) -0.5 (b) -13 (c) 3
a
Which is the closest to -4/7? (a) 5 (b) -1/3 (c) -2 (d) 0.09
b
Which is the closest to 0? (a) 5 (b) 64412.8 (c) -0.4
c
Which is the closest to -0.115? (a) 8/19 (b) 6/13 (c) 2
a
What is the closest to -1 in -2/5, 0.3, 0.0406, -2/31, 1/4?
-2/5
Which is the closest to 3? (a) 38/3 (b) -0.9 (c) 13
b
Which is the nearest to 77.1? (a) -2.6 (b) 0.3 (c) -0.2
b
Which is the nearest to -0.6? (a) -4 (b) 46 (c) -0.3 (d) 0.32 (e) 0.3
c
Which is the nearest to 0? (a) -0.2 (b) -18.73 (c) -4
a
Which is the nearest to 0.3? (a) 56 (b) -1/52 (c) -0.3
b
Which is the nearest to 5? (a) 8 (b) 0.1 (c) -3/23 (d) 3/8
a
What is the nearest to -1 in 4, -26, -0.1, -1/3?
-1/3
What is the nearest to 9305 in 3, 7, 2/7?
7
Which is the closest to 21? (a) 5 (b) 1857 (c) 0
a
What is the closest to 1/143 in 11, 1.8, -5, 0?
0
What is the nearest to 1 in 1/5, -23, 27/31, 17?
27/31
Which is the closest to -1? (a) -2 (b) -1 (c) -1975 (d) -0.4
b
What is the nearest to 19 in 157, 0.4, -3?
0.4
Which is the closest to 2? (a) 1/9 (b) 0.4 (c) 0.05122 (d) -4/5 (e) -6
b
What is the closest to -0.1 in -2, 3, -6831, 76?
-2
What is the nearest to 2 in -0.12, 0, -1107, -5?
0
Which is the nearest to -1.97? (a) -0.3 (b) -0.095 (c) -3/5 (d) 0.5 (e) -3
e
What is the closest to 2418 in 4, 0.4, 0.01?
4
What is the nearest to 0.052 in -17/2, -2, 0.4, 4?
0.4
Which is the closest to 18? (a) -5 (b) 0.3 (c) 6/7 (d) -340
c
What is the nearest to 1341 in -3/7, 1, 2?
2
Which is the nearest to 1/4? (a) -10.7 (b) 20 (c) -3/5 (d) -4 (e) 5
c
What is the closest to -4 in 0.6, 1/16, -2/7, 0.02, -5?
-5
What is the closest to 1 in -2/15, 29, 8?
-2/15
What is the nearest to 0 in -2/9, 0.2, -1/3, -11547, -38?
0.2
Which is the nearest to -2/15? (a) -7 (b) -46 (c) -12/19 (d) -2
c
What is the closest to 0.6 in 0.4, -0.3, -1/1072?
0.4
Which is the nearest to 33424? (a) -1/4 (b) -2/3 (c) 0
c
Which is the closest to -2? (a) 2/3 (b) -1/6 (c) -0.06 (d) 1/3 (e) 1/9
b
Which is the nearest to 0.1? (a) 155 (b) 0.3 (c) 2/5 (d) 6
b
Which
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 5*d**3/6 - 49*d**2 + 11. Give u(8).
-19
Let w(m) = -3444*m + 1714*m + 447 + 1719*m. What is w(42)?
-15
Let k(h) = h**2 + 5*h + 1. Let l(c) = -c**2 - 1. Let r(x) = -k(x) - 2*l(x). Let t be 1 - (5 + -7 - 0). Suppose -3*j + 36 = t*j. Determine r(j).
7
Suppose -4*f - 4*i - 996 = -2*f, -3*i + 1539 = -3*f. Let s = f - -510. Let p(j) = -7*j**3 - 2. Give p(s).
-58
Let l(d) = -d**2 - 10*d + 124. Let a = 2380 + -2373. What is l(a)?
5
Let s(u) = 14*u - 6. Let d(k) = 5*k + 1. Let r be 2/2 + 64/(-16). Let n(l) = r*d(l) + s(l). Determine n(-6).
-3
Let g be (-402)/(-51) - (-22)/187. Suppose 23*p - g*p = -60. Let n(i) = 3*i**2 - i - 1. Give n(p).
51
Let w(j) = j**2 - 8. Let h be w(-6). Let u = -7622 - -7627. Suppose 5*r - h = -3*q, u*r + q - 39 = -13. Let t(y) = y**2 - 4*y - 2. Calculate t(r).
3
Let n(v) = -13*v**2 + v - 1. Let y be 11 - (2/1 - -8). Calculate n(y).
-13
Let v(i) = i**3 + 3*i**2 - 5*i - 4. Let w = -531 - -276. Let n = w - -252. Calculate v(n).
11
Let k(n) = 14 + 21*n - 54*n + 19*n + 13*n. Let q be k(10). Let g be 1*21*q/(-48)*-4. Let p(d) = -2*d + 2. What is p(g)?
-12
Let g(f) be the third derivative of f**6/40 - f**5/30 + f**4/8 + 23*f**3/6 - 70*f**2 - 22*f. What is g(0)?
23
Let o(h) = 7 + 16*h - 13*h + 6 - 5*h. Calculate o(6).
1
Let o(a) = -71*a + 10. Let m(g) = -317*g + 41. Let x(w) = -2*m(w) + 9*o(w). Give x(2).
-2
Suppose -3*c + 8 - 1 = -u, 3*c + u - 17 = 0. Suppose -c = -6*x + 2*x. Let w(h) = 0 - x + h - 1. What is w(3)?
1
Let s(y) = 4*y**3 - 1 + 0 - y + y + 2*y**2. Let b(a) = -4*a - 21. Let t be b(-11). Suppose -t*u + 20*u = 3. What is s(u)?
-3
Let h(u) = -2*u**2 + 5*u - 3. Let r be 170/(-8) + (-4)/(-16). Suppose -23*i = -18*i + 120. Let g = r - i. Give h(g).
-6
Let p(s) = -2*s**2 + 11*s + 1. Let q be -1 + 1 + -2 + 105 + -98. What is p(q)?
6
Suppose 10*v - 322 = -4*v. Let j(u) = v*u - 106 + 104 - 22*u. Calculate j(5).
3
Let c(a) = -266*a - 282*a - 478 + 570*a. Give c(22).
6
Let d(p) = -p**3 - 5*p**2 - 4*p - 2. Suppose 2*r - 8 = 24. Suppose 0*g + 7*g = 11*g. Suppose g = -3*s + 6*c - c + 8, c = 5*s + r. Give d(s).
-2
Let b = 3 - 2. Suppose -3*s + 4*c + 22 = 0, s + b + 1 = -c. Let z(q) = 1 + 3037*q**2 + 3036*q**2 + 3037*q**2 - 9111*q**2. Give z(s).
-3
Let k(z) be the third derivative of 0*z + 6*z**2 + 0 + 5/24*z**4 - 1/2*z**3 + 1/60*z**5. Calculate k(-5).
-3
Let x(w) be the third derivative of 0*w + 0 - 5/6*w**3 - 5/24*w**4 - 1/12*w**5 + 1/120*w**6 + 185*w**2. Determine x(6).
1
Let v(h) = -47*h - 82. Let r(g) = 75*g + 122. Let l(b) = -5*r(b) - 8*v(b). Determine l(-22).
24
Let a(n) = -n**2 + 4*n - 1. Let v be a(3). Suppose v*y - 2 = 10. Let c(t) be the second derivative of t**4/6 - 7*t**3/6 - 4*t**2 + 3*t - 412. What is c(y)?
22
Suppose p + 2*p = -c + 7, 2*c = p + 14. Let m(k) = -c*k**3 + 11*k**2 - 10 - 3*k**3 - 12*k - 1 + 11*k**3. Calculate m(-12).
-11
Suppose -8 = 1147*n - 1151*n. Let g(s) = -16 - 27*s + s**2 - n*s + 30*s. What is g(5)?
14
Let v(f) = f - 1. Let y be v(2). Let m(t) be the first derivative of -2*t**3 + t**2/2 + 12187. Determine m(y).
-5
Let t(o) = -3*o**2 - o. Let f = -10 + 17. Suppose 5*p - 2*p - 5*j = -5, -p - f = j. Let k(s) = -2*s**2. Let a(z) = p*k(z) + 4*t(z). What is a(-3)?
-6
Let n(u) = -2*u**3 - 8*u**3 + 0*u + 2339 - 4653 + 2325 - 12*u. Calculate n(1).
-11
Let k(v) = -1. Let o = -58 + 63. Let f(j) = -j - 10 + o*j - j - j. Let w(z) = -f(z) + 5*k(z). Give w(6).
-7
Let q(p) be the third derivative of p**6/360 + 13*p**5/120 - p**4 + 31*p**3 + 30*p**2 + 2. Let w(g) be the first derivative of q(g). Give w(-15).
6
Let r = 518 - 514. Let g(u) = -u**2 - 1. Let z(m) be the first derivative of -5*m**3/3 + 3*m**2/2 - 9*m - 1. Let o(v) = 4*g(v) - z(v). Calculate o(r).
9
Suppose -156 + 76 = -4*o. Suppose 21*c - 5*q = o*c + 12, 3*c = -3*q - 54. Let g(l) = -l - 6. Give g(c).
7
Let m(s) = -21*s - 398. Let g be m(-19). Let k(a) = -2. Let j(f) = -f - 6. Let i(w) = -2*j(w) + 7*k(w). What is i(g)?
0
Let i = 184 + -182. Let o(b) be the second derivative of -3/2*b**2 + 3*b + 7/6*b**3 + 0. Determine o(i).
11
Let z be ((-464)/11)/(-1) + 72/(-396). Let c be (z/(-28))/(6/(-8)). Let v(y) = -2*y**2 + 2*y**2 - y + y**2 - 2. What is v(c)?
0
Let w(t) = 2*t**3 + t**2 + 2*t + 12. Let c be w(-2). Let i(b) = -5*b**3 - 22*b**2 - 10*b - 7. Determine i(c).
1
Let u(t) = 50 + t**2 - 23732*t + 23741*t + 53 - 101. Let z be -9*2*2/4. What is u(z)?
2
Let p be 20/(-10) + (7 - 0/2). Let z(n) = -4*n - 7. Let h(o) = -o - 3. Let y(c) = 5*h(c) - z(c). Give y(p).
-13
Suppose 0 = -3*u + 19*u - 192. Let a(j) = 2 - 11*j + 4 - j**2 - 3 + u*j. Give a(0).
3
Suppose -4*n = 5 + 15. Let f(v) be the second derivative of -v**4/12 - v**3/6 + 2*v**2 - 17*v + 1284. Calculate f(n).
-16
Let s be (61 - 62)/((-2)/666). Suppose 5*h = -32*h + s. Let k(a) = 1 + 2 + a - 2*a. Calculate k(h).
-6
Let r(o) = -3. Let m(h) = -3*h + 18. Let j(i) = -3*m(i) - 18*r(i). Let b be 280/98*70/20 + -13. Calculate j(b).
-27
Let t = 1024 + -1022. Let f(z) = 239*z**t - z + 228*z**2 - 2 - 466*z**2. Let j be 1 - 1/((-2)/6). What is f(j)?
10
Let h(m) be the second derivative of 2*m**3/3 - 3*m**2/2 + 556*m. Calculate h(-9).
-39
Let d(y) = 145 - y**3 + 3*y - 9*y**2 + 0*y**3 - 135. Let f be (3/(-5))/(24/360)*1. Give d(f).
-17
Let o(y) = 6*y + 4*y**2 + 2*y**2 + 3 + y**3 + 0*y. Let k = -261652 + 261648. Give o(k).
11
Let d(f) = -1. Let t(l) = -6*l + 5. Let m(h) = 6*d(h) + t(h). Let x be (-6 + 2 - -3) + (-10)/(-5). Let k(i) = i. Let o(y) = x*m(y) + 5*k(y). Determine o(2).
-3
Let q = 29 - 21. Suppose -5*b + q = -2. Let d(k) = -23 - k**b + 27 + 3*k - 4*k - 2*k. What is d(-4)?
0
Let j(h) = h**3 - 5*h**2 - 3*h + 7. Suppose 0 = 5*a + d + 306, -3*a + 4*d + 46 = -4*a. Let f = -36 - a. Suppose -y - 21 = -f. Give j(y).
-8
Let p = 413 - 411. Let b(j) = j**p + 22 + 24 + 2*j + 25 - 73. Calculate b(-5).
13
Let t be 9 - (170/935 + 260/22). Let p(l) = -3*l**3 - 6*l**2 - 11*l - 4. Give p(t).
56
Suppose 3 = -293*j + 290*j - 5*d, 3*j = 3*d - 27. Let u = -3 - -6. Let b(x) = -6*x**2 - x + 4 + 4*x + 0*x - x**u - x. Give b(j).
-8
Let w(q) be the first derivative of -q**3/3 + 5*q**2/2 + 73. Let j = 78 - 113. Let g = j - -38. Calculate w(g).
6
Let u(g) = -g**2 + 20*g + 38. Let d be u(21). Let o(x) = x**3 - 15*x**2 - 35*x + 25. Let v be o(d). Let m(h) = -h - 1. Give m(v).
-9
Let j(t) be the first derivative of -13*t**2/2 - 103*t + 1401. Give j(-9).
14
Let k(x) = x**2 + 8*x - 9. Suppose 0 = 5*l + r - 6*r - 655, 2*l = -4*r + 286. Let u = 126 - l. Determine k(u).
0
Let v(o) = -7*o - o**3 + 2*o**2 + 2*o + 5 + 3*o**2. Suppose -12*b = -34 - 38. Let r be 456/108 - b/27. What is v(r)?
1
Let h be ((-2)/(-4))/(2/(-4)). Let t = 2 + h. Let k(v) = -3*v**2 + 58*v + 1. Let d(m) = -3*m**2 + 46*m + 1. Let l(j) = 5*d(j) - 4*k(j). Determine l(t).
-4
Let g(c) be the third derivative of -c**7/840 - c**6/45 - c**5/120 - 5*c**4/12 - 37*c**3/6 - 24*c**2. Let t(x) be the first derivative of g(x). Give t(-8).
-2
Let m(l) = 2*l + 20. Let f = 65 + -17. Let q = 40 - f. Let o be m(q). Let v(r) = r**2 - 5*r + 6. What is v(o)?
2
Let f(i) = -i**2 + 4*i + 7. Let z(v) = -2*v**3 + 26*v**2 - 21*v - 34. Let y be z(12). Suppose 0*u = -y*m + 2*u + 2, 24 = 4*m + u. What is f(m)?
2
Let p(x) = x + 6. Suppose 0 = -2*w - 3*o - 3, 2*w + o + o - 2 = 0. Suppose -2*s + 8 = -w. Calculate p(s).
13
Suppose 2*y = -y + 78. Suppose -22*b = -y*b. Suppose b = -3*s - 7*s + 10. Let g(d) = 2*d**3 + 2*d**2 - 1. Determine g(s).
3
Let b(h) be the second derivative of 0 + 1/2*h**3 + 229*h - 1/2*h**2 + 1/12*h**4. What is b(-4)?
3
Let l(o) be the third derivative of -o**6/120 + o**5/60 + o**3/2 - o**2. Let k(g) = -37*g - 959. Let s be k(-26). Give l(s).
-15
Let b = 15277 + -15240. Let a(i) = -i**2 + 45*i - 286. Determine a(b).
10
Let i(o) = -o**3 - 10*o**2 - 7. Let v be i(-10). Let m(z) = 2*z + 2. Let h(s) = 7*s + 10. Let f(c) = h(c) - 3*m(c). Determine f(v).
-3
Suppose 2*q = -2*q + 12. Let f be ((-44)/16 + q)*16. Suppose 8*u = f*u - 32. Let n(c) = c**3 + 9*c**2 + 10*c + 10. Determine n(u).
-6
Suppose -33*j + 34*j = -2, -5*j - 11 = -t. Let d(m) = -26*m**3 - 1 - m**2 + 2 - m**3. Determine d(t).
-27
Let m(c) be the first derivative of -c**2 - 6*c + 2. Let b be 17 + (-38 - (0 - 15)). What is m(b)?
6
Let a(f) = -f**3 - f**2 + 1. Let k(d) = -7*d**3 - 14*d**3 + d - 12*d**3 - 4*d**2 + 24*d**3 + 2. Let r(u
|
{
"pile_set_name": "DM Mathematics"
}
|
*m - 5. Let b be 3 - (2 - 3)*8. Suppose 5*y - 14 = 2*q + b, 5*q - 2*y = -31. Give c(q).
-5
Let r(z) = -2*z + 10. Let o be r(8). Let d(a) = 5*a - 2 - 1 + a**2 + 4 + 5. What is d(o)?
12
Let u(w) = 0*w**2 + 2*w - 81 - w**2 + 82. Calculate u(0).
1
Let j(s) = 6*s**3 + s**2 - 6*s - 5*s**3 + 1 - 7*s**2. Let a(h) = -2*h + 21. Let o be a(7). Calculate j(o).
8
Let a = -334 - -335. Let s(o) = -4*o**3 - o**2 + 1. What is s(a)?
-4
Suppose -21 + 3 = -3*w. Let o(r) be the first derivative of -r**4/12 + r**3 + 3*r**2/2 + 7*r + 1. Let u(x) be the first derivative of o(x). Give u(w).
3
Let l(a) = -25*a + 7. Let c(d) = -30*d + 8. Let j(w) = 4*c(w) - 5*l(w). What is j(9)?
42
Let t(v) = 3*v + 21. Let g(i) = -3*i - 17. Let w(b) = 5*g(b) + 4*t(b). Give w(4).
-13
Let l(f) = 6*f**2 + 6. Let a(p) be the third derivative of p**5/60 - p**4/24 - 10*p**2. Let u(y) = 5*a(y) - l(y). What is u(-5)?
-6
Suppose -22 = g + 34. Let v = g - -64. Let n(i) = -i**2 + 9*i - 5. Determine n(v).
3
Let y(c) = c**3 - 6*c**2 + 7*c - 1. Let b(n) be the third derivative of n**4/6 - 7*n**3/6 + 2*n**2. Let j be b(5). Suppose 5*i = -j + 38. Calculate y(i).
9
Let w(y) = 12*y - 220. Let q be w(18). Let k(m) = -m**3 - 6*m**2 - 5*m - 5. Determine k(q).
-17
Let j(k) be the second derivative of k**3/2 - 7*k**2 - 7*k + 3. Calculate j(11).
19
Let a(v) be the third derivative of v**4/24 + v**3/3 - 2*v**2 + 7*v. Suppose 0 = -0*t - 2*t - 4*q + 16, -5*t = -3*q + 25. Let b = t + 2. What is a(b)?
2
Let h(r) = 2*r + 2. Let c(i) = i. Let t(q) = 3*c(q) - 3*h(q). Let g(s) = 2*s**2 - 44*s - 51. Let j be g(23). Determine t(j).
9
Suppose 5*o - i - 15 = -6*i, 0 = o + 3*i - 13. Let x(g) = -11*g - 3. Determine x(o).
19
Let a(w) = -3*w**2 - 33*w + 9. Let b(l) = -l**2 - 8*l + 2. Let c(r) = -2*a(r) + 9*b(r). Let j be (4/(-3))/(-2) + 280/(-60). Determine c(j).
-24
Let i(q) be the first derivative of -2*q - 4 - 3/2*q**2. Suppose 2*n = 5*w + 19, 4*n + 8*w - 3*w + 37 = 0. Determine i(n).
7
Let u(p) = -4*p**2 - 4*p - 1. Let z(i) = i**3 + 5*i**2 + 5*i + 1. Let a(q) = -5*u(q) - 4*z(q). Suppose 0 = 9*f + f - 10. Determine a(f).
-3
Let w(a) = 0*a**2 - a - 4 - 2*a + a**2. Let z(v) = v**2 + 37*v + 236. Let d be z(-29). Determine w(d).
0
Let i(p) be the third derivative of p**6/12 - p**5/30 - p**4/24 - 198*p**2. Suppose 3*t - 5 = -3*h + t, 6 = -2*h + t. Give i(h).
-11
Let l(c) = -c - 6. Suppose 0 = 22*g - 3*g + 266. Suppose -65 = 5*m + 20. Let q = m - g. Give l(q).
-3
Let t = 159 + -153. Let d(v) = v + 13. Determine d(t).
19
Let r(y) be the third derivative of 1/2*y**3 - 1/24*y**4 - 1/60*y**5 + 0*y + 0 - 38*y**2. Give r(-4).
-9
Let a(p) = p**3 + p**2 - 6*p - 4. Let o(h) = 2*h**3 + 2*h**2 - 8*h - 5. Let r(j) = -3*a(j) + 2*o(j). Let x(f) = -f - 7. Let y be x(-5). Calculate r(y).
-6
Let f be -9 + 13 + 2 + 0. Let b(l) = -l + 11. Let y be b(f). Let s(t) = 4*t + 2*t**2 - t**2 - 9*t - 7. What is s(y)?
-7
Suppose -60 = -3*c - 5*n, 0 = -c + n + 15 - 3. Suppose 0 = 3*f - c. Let w(r) = -3 - r**2 + f*r + 5 - 2*r + 0. Determine w(3).
2
Let p = 713 + -1423/2. Let l(b) be the first derivative of 3*b + p*b**2 + 2 - 1/3*b**3. Calculate l(4).
-1
Let n(b) = b**3 + 2*b**2 - b. Let r(m) = m**3 + 14*m**2 - 17*m + 1. Let k(q) = -2*n(q) + r(q). What is k(8)?
9
Let a(j) = -15*j**2 - 9*j + 9. Let c(b) = b**2 - 1. Let w(x) = a(x) + 4*c(x). Let o(d) = -3*d**2 - 2*d + 1. Let k(n) = -9*o(n) + 2*w(n). What is k(-1)?
6
Let k(p) = p**2 + 2*p - 5. Let c(v) = -v**3 + 43*v**2 - 83*v + 37. Let h be c(41). Determine k(h).
3
Let r = 142 + -145. Let s(w) = -w**2 + w + 3. Give s(r).
-9
Suppose 0 = -4*u - 103 + 23. Let v = u + 22. Let l(r) = -r**2 + 2*r. What is l(v)?
0
Let t be ((-2)/(-3))/((-2)/(-9)). Suppose -t*a = -a. Let d(l) be the second derivative of -l**4/12 + l**3/6 + 9*l**2/2 - 89*l. Give d(a).
9
Let m(b) = -b**2 + 8*b - 7. Let q(i) = -i**3 - 3*i**2 - i - 1. Let l be q(-2). Let x = 8 - l. Suppose 2*p - w - 8 = 0, p + 2*w + w = x. What is m(p)?
8
Let k = 50 - 46. Let m(j) = k + 0*j + 3*j - 4*j - 6. Let c(f) = -f**2 - f - 2. Let q be c(-2). Determine m(q).
2
Let w(x) = x**3 + 36*x**2 + 70*x + 61. Let i be w(-34). Let h(v) = 2*v**2 + 7*v - 16. What is h(i)?
33
Let u be (1/1)/(12/72). Let p(c) = 1 + 2 - 5*c + c**2 + 0*c - c. Give p(u).
3
Let s be 42/(-9)*24/(-28). Let j(w) = -3*w + 0 - s - 9*w**2 + 10*w**2. Calculate j(4).
0
Let j(x) = x**3 - x**2 + 3*x - 1. Let t(i) = 2*i**3 + 6*i - 2. Let m(g) = -4*j(g) + t(g). Determine m(2).
-10
Let y(r) = -r - 3. Let s(m) be the third derivative of -m**5/60 + 13*m**4/24 + 3*m**3 - 5*m**2. Suppose 0 = -5*n + 44 + 26. Let h be s(n). Give y(h).
-7
Let o(m) = -108*m**2 - 98*m**2 + 4*m + 209*m**2 + 1. What is o(-2)?
5
Let s(b) = -b**2 + 2*b. Suppose -9 = q + 2*q. Let o = q + 5. Suppose -5*a + o = -8. Calculate s(a).
0
Let t(d) = 9*d - 142. Let a be t(16). Let x(w) be the third derivative of 0 + 2*w**a + 1/120*w**6 + 0*w + 1/4*w**4 - 7/60*w**5 - w**3. What is x(6)?
-6
Let m(v) = v**3 - 11*v**2 + v - 16. Let g = -170 + 181. Calculate m(g).
-5
Let l be (-1 - -1)/(-2) + -1. Let o(n) be the first derivative of n**6/360 - n**4/24 - 5*n**3 + 10. Let c(m) be the third derivative of o(m). Determine c(l).
0
Let b(i) = -i**2 - 5*i - 6. Let v be 1/((-2)/(-3))*6. Let o = 6 + v. Suppose 3*z + 0 = -o. What is b(z)?
-6
Let r(f) = 2*f**2 - 3 + 0*f + 2*f + f**2. Suppose 7*a = 3*a + 48. Suppose 5*t = -t + a. Determine r(t).
13
Let y be 36/14*(-126)/(-54). Let f(i) = -i**3 + 7*i**2 - 6*i + 6. Calculate f(y).
6
Let t(m) be the third derivative of m**5/15 - m**4/24 - m**3/3 - 18*m**2 + 1. Let n be t(-1). Let i(f) = 3*f - 4. Give i(n).
5
Let a(v) = -v**3 + 5*v**2 + 2*v + 3. Suppose 0 = 6*x - 8*x + 36. Let r be (-4)/12 + 114/x. Determine a(r).
-21
Let j = -736 - -730. Let d(k) = 2*k**2 + 14*k + 1. What is d(j)?
-11
Suppose -4*m + 2*t - 24 = 6*t, -4*m + 3*t = 24. Let b(v) = -6*v - 2*v - 8*v**2 + 6*v**3 - 7*v**3 + 4. Calculate b(m).
-20
Let y be 4 + -3 + 2 - -9. Let z be (0 + y)/(-3) - 1. Let s(l) = 1. Let w(u) = -u**2 + 1. Let x(c) = z*s(c) + 6*w(c). Determine x(-1).
-5
Let q(w) = -2*w - 54. Suppose 4*i = 5*y - 106, -33*i + 28*i - 2*y - 116 = 0. What is q(i)?
-6
Let g(k) = 681*k**3 + 679*k**3 - 1359*k**3 + 4 - 6*k**2 + 4*k. Suppose 7*o - 2*o - 20 = 0. Give g(o).
-12
Let t(o) = -o**2 - o + 5. Suppose -3*s + 12 = -6*s. Let y = 10 + s. Suppose y*h = h. Give t(h).
5
Let s = -3 - -2. Let d(x) = x + 3. Let w(k) = -4*k**2 + 4*k + 11. Let m(b) = -4*d(b) + w(b). Give m(s).
-5
Let m(s) = 4*s - 10*s + 7*s + 7*s - 15 - 9*s. Determine m(-8).
-7
Let z(t) = 11*t**2 + 29*t + 1. Let u(y) = 16*y**2 + 46*y + 2. Let i(a) = 5*u(a) - 8*z(a). Give i(-1).
-4
Let q(b) be the first derivative of 7*b**4/4 + b**3/3 - b - 50. Let k be -1*10 - 24/(-8). Let i = -8 - k. Determine q(i).
-7
Let c(j) be the third derivative of -j**4/24 + 4*j**3/3 + 1547*j**2. Suppose 70 = 5*p + 5*a, -25 = -5*p - 0*a + 4*a. What is c(p)?
-1
Let q be 0 + 0 + (-4)/4. Let a(g) = 84*g + 13. Let k be a(3). Let b(v) = 13*v**2 + k - 264 + 4*v**2. Determine b(q).
18
Let f(z) = -2*z - 4. Suppose -2*q + 2*w - 6 = -2*w, -4*q + 2 = -w. Determine f(q).
-6
Let x = -168 + 170. Let j(t) be the third derivative of 1/12*t**4 + 0*t + 0*t**3 - t**x + 0. What is j(1)?
2
Let k(f) = f**3 + 5*f**2 - 5*f - 9. Suppose -3*v + 5*d = -2 - 3, -3*v + 3*d - 3 = 0. Calculate k(v).
16
Suppose 2 = -4*f + 18. Suppose 3*d + t - 2*t - 3 = 0, -f*t = -2*d + 12. Let u(w) = w - 2*w - 5 + 0*w - w**2. Give u(d).
-5
Let i(k) be the first derivative of -k**5/20 + 7*k**4/12 - 4*k**3/3 + 3*k**2 - 9*k + 7. Let y(n) be the first derivative of i(n). What is y(6)?
-6
Let i(y) = -y**3 - 3*y**2 - y - 3. Let f be 28/24 + 1/(-6). Suppose -g + j = -3, 5*g = -j + f + 2. Suppose d + 19 = -4*d + c, c = -d + g. Calculate i(d).
0
Let t(w) = w**3 - 2*w**2 - 4*w + 1. Let a(p) = p**2 + 3*p - 6. Let d be a(-5). Calculate t(d).
17
Suppose 4*z + 12 = -4*j, -42*j + 2*z = -43*j. Let k(d) = -d**3 - 7*d**2 - 2*d + 8. Give k(j).
-16
Let i(p) = p**2 + 3. Let t be i(0). Let c(d) = d**3 + 5*d**2 - d. Let x(v) = -4*v**3 - 16*v**2 + 2*v + 1. Let u(g) = 7*c(g) + 2*x(g). Calculate u(t).
-7
Suppose 0 = -4*p + 29 - 5. Suppose 0*q = p*q. Let w(n) = n - 8. Determine w(q).
-8
Let s(k) be the third derivative of -1/40*k**6 - 1/12*k**4 + 0 + 1/20*k**5 + 0*k + k**2 + 1/2*k**3. Let o be (6/15)/
|
{
"pile_set_name": "DM Mathematics"
}
|
actors of q?
2, 3
Suppose 4*v + 44 = 2*d + 294, -5 = 5*d. What are the prime factors of v?
2, 31
Suppose v - 16 - 3 = 0. What are the prime factors of v?
19
What are the prime factors of 10 - 3/(0 + 1)?
7
Let t(f) = -f**2 - 7*f + 5. Let s = -4 + -1. List the prime factors of t(s).
3, 5
Suppose 3*k - 18 = -6. Suppose 4*h = -b + 4, k*h + 0*b - 12 = -3*b. List the prime factors of h + 2 - (0 - 2).
2
Suppose 2*x = 2 + 2. Suppose -x*s - 7 + 21 = 0. What are the prime factors of s?
7
Suppose 2*r + 285 = 5*z, 0 = 2*z + 2*r + 2*r - 138. What are the prime factors of z?
59
Let v = 2 - -34. Suppose -2*c - 2*c = -v. Suppose 18 = c*t - 7*t. List the prime factors of t.
3
Suppose 11*s = 16*s - 30. Let o = 0 - 0. Suppose -s = -y - o*y. List the prime factors of y.
2, 3
Suppose 4*i - 68 = 96. List the prime factors of i.
41
Let f(c) = -c + 10. Let n be f(13). What are the prime factors of (14/n)/((-2)/12)?
2, 7
Suppose 3*l + 0*l + 3*k = 180, -4*k = l - 57. List the prime factors of l.
61
Let l(h) = -11*h**2 + 38*h + 8. Let o(q) = 4*q**2 - 13*q - 3. Let p(z) = -3*l(z) - 8*o(z). Let f be p(10). List the prime factors of (f + 3)/((-15)/(-40)).
2
Let j(p) = -p + 10. Let b be j(7). Suppose -b*h + 2*q = -7, -h - 11 = -4*q - 0. Suppose s + f = 12, -2*f + 0*f + 54 = h*s. What are the prime factors of s?
2, 5
Let h(c) = c**2 - c + 2. Let p be h(0). Suppose -4*o = p*f - 136, o = -0*f + f + 31. What are the prime factors of o?
3, 11
Suppose 4*f + 0*f - v - 709 = 0, 2*v = 5*f - 887. List the prime factors of f.
3, 59
Let v(y) = -y**3 - y**2 + 10. Let w be v(0). List the prime factors of 62/5 - 4/w.
2, 3
List the prime factors of 2/(-3) - 958/(-6).
3, 53
Suppose -4*z + 10 = -14. Suppose z = m - 15. What are the prime factors of m?
3, 7
List the prime factors of (327/(-4) + 0)*672/(-252).
2, 109
Let f = 51 - 28. List the prime factors of f/2 + 2/(-4).
11
Let n(c) = c**3 + 8*c**2 - 8*c - 6. Let o be n(-7). Suppose w = 0, 0*w = 3*p - w - o. List the prime factors of p.
3, 11
Let g(n) = n + 8. Let f be g(-6). Suppose 9*r - 222 = 6*r. Suppose -4*j + 66 = -t, -4*j + 7*t = f*t - r. What are the prime factors of j?
2
Let l = -15 + 22. Suppose 0 = -5*s + 4*k + 18, 3 = -2*s - 3*k + 1. Suppose 0 = s*h - 1 - l. What are the prime factors of h?
2
Suppose 5*o + 140 = 2*k, 4*o - 2*o = 4*k - 296. List the prime factors of k.
3, 5
Let r(y) = 4*y**2 - 2*y. Let z be r(-4). Let k = 103 - z. What are the prime factors of k?
31
Suppose 5*f - 5*s = -25, -5*f - 2*s - 17 - 1 = 0. List the prime factors of 9/(-12)*1*f.
3
Suppose 0*j - 5*j = 15. Let d = 0 - j. List the prime factors of d.
3
Let m = -90 + 272. What are the prime factors of m?
2, 7, 13
Suppose -3*i + 257 = -40. List the prime factors of i.
3, 11
Suppose 445 = 4*u - 4*n - n, u - 90 = -3*n. Suppose -c = 0, 4*v - 4*c = 111 + u. List the prime factors of v.
2, 3
List the prime factors of 20 + (-4 - 1*-8).
2, 3
Suppose -q + u + 6 = -5, -3*q = -5*u - 43. List the prime factors of (-3)/q*-19*2.
19
Let u = 65 + -122. Let h = 82 + u. List the prime factors of h.
5
Let s = 9 - 6. Suppose -2*i - s*i = 10. What are the prime factors of 6 + 0/(-1 + i)?
2, 3
Let l(f) = f**3 - 7*f**2 + 10. Suppose -x + 4*x - 21 = 0. What are the prime factors of l(x)?
2, 5
Let j = 42 - 10. What are the prime factors of j?
2
Let g(y) be the first derivative of -y**2/2 + 3*y + 3. Let p be g(-4). List the prime factors of (-2)/p + (-92)/(-28).
3
List the prime factors of (-5)/4*(18 + -138).
2, 3, 5
List the prime factors of (8/(8/4))/2.
2
Let j(m) = m - 8. Let g be j(12). Suppose -x - g*x + 245 = 0. List the prime factors of x.
7
Let y = 39 - 27. List the prime factors of y.
2, 3
Suppose -2*o - 3*o + 10 = 0. What are the prime factors of o?
2
What are the prime factors of (-282)/4*20/(-30)?
47
Suppose 3*y + y = 4*g, 2*y - 4*g + 6 = 0. Suppose 0 = -4*o - q + 62, -o + y*q = -2*q - 26. What are the prime factors of o?
2
Let x = -6 + 9. Suppose 3*i + x = 9. Suppose -l - t + 10 = 0, -i*t + 43 - 13 = 3*l. List the prime factors of l.
2, 5
Let j = 83 - 60. What are the prime factors of j?
23
Suppose 11 + 1 = 2*h. Let r(a) = -a**2 + 9*a. List the prime factors of r(h).
2, 3
Suppose 6*i = 590 + 1000. List the prime factors of i.
5, 53
Suppose 2*z + j = 8, -3*z + z = -2*j - 8. Suppose 4*p = 2*p - z. List the prime factors of (-4 - -17) + p/(-2).
2, 7
Let i = 3 - 1. What are the prime factors of (i/6)/((-5)/(-120))?
2
Let w(a) = -a**3 + 6*a**2 - a + 3. Let p be w(6). Let i = p + 6. Suppose -27 = -6*q + i*q. What are the prime factors of q?
3
Let n = -81 - -114. List the prime factors of n.
3, 11
Let a(q) = q**3 + 22*q**2 - 11*q - 23. What are the prime factors of a(-22)?
3, 73
Let a = -45 + 98. List the prime factors of a.
53
Let f(g) = 3*g**2 - 4*g + 3. Let q = -17 + 19. List the prime factors of f(q).
7
Let z be (-2)/(-2)*(-1)/1. Suppose 4*y - 11 = 25. List the prime factors of z + y/1 + -1.
7
Suppose 2*a = 202 + 130. List the prime factors of a.
2, 83
Let k(d) = 2*d**2 + 4*d + 3. Let h(j) = j**3 + 5*j**2 + 2*j - 1. Let r be h(-4). Suppose 3*t - r*t = 8. What are the prime factors of k(t)?
3
Let j = -14 + 6. Let a = j + 4. Let u = 2 - a. What are the prime factors of u?
2, 3
Suppose -2*l - 4*d - 4 = 0, -5 = 2*l + 3*d - 0*d. What are the prime factors of 46/5 - l/(-20)?
3
Let w be (15/(-5))/((-1)/1). Suppose -4*s + w*s - 1 = 0. What are the prime factors of 2 - (s - 2) - -1?
2, 3
Let o = 0 - -14. Suppose k - 29 = 3*u - 3*k, 0 = -3*u + 2*k - 19. Let t = o + u. What are the prime factors of t?
11
Let c be -2 + ((-36)/2)/(-3). Suppose -2*d - 2*b = -d - 27, c*d - 73 = -b. What are the prime factors of d?
17
Let v = 15 - -5. List the prime factors of v.
2, 5
Let o(l) = -4*l + 37. Let g = 4 + -6. Let v(c) = c - 9. Let k(i) = g*o(i) - 9*v(i). List the prime factors of k(5).
2
Let o = -8 - -15. Suppose l + 3 = -o. List the prime factors of (-50)/(-4)*(-8)/l.
2, 5
Let h(p) = p**2 - 6*p + 5. Let z be h(5). Suppose -2*q - o + 2*o = -28, -2*o + 4 = z. List the prime factors of q.
3, 5
Suppose -7*f + f + 276 = 0. List the prime factors of f.
2, 23
Let q be ((-2)/(-3) - 2)*-3. Let n = q + 0. Suppose -y - 13 = 3*i, -2*y - 16 = n*i - 0. What are the prime factors of y?
2
Let x = -102 - -69. What are the prime factors of (-194)/(-22) - 6/x?
3
Let m(c) = c**3 - 5*c**2 - 7*c + 5. Let q be m(6). Suppose -1 = -b - 0. Let z = b - q. What are the prime factors of z?
2
Let y(d) = 3 + 3*d - 4*d + 2*d. Let k be y(-3). List the prime factors of (-2)/(4/(-10) + k).
5
Let h be (-130)/8 + 18/(-24). Let k = h - -31. What are the prime factors of k?
2, 7
Suppose k + 30 = -2*k. Let g = -7 - k. List the prime factors of g.
3
Suppose 0 = 6*s - 0*s - 18. Suppose 6*f + 60 = 3*q + s*f, 3*q - 5*f = 64. What are the prime factors of q?
2, 3
Let c(m) = m**3 + 11*m**2 - 14*m - 14. Let s = -9 - 3. List the prime factors of c(s).
2, 5
Let r = 113 - -102. What are the prime factors of r?
5, 43
Let i be 3/(2 + 2 + -3). Suppose i*y - 3*b - 66 = 0, -17 + 5 = -4*b. What are the prime factors of y?
5
Let w(j) = 42*j - 1. Let c be w(1). Suppose 2*u = -c + 1. What are the prime factors of ((u - 0)/(-2))/2?
5
Let k = -11 + 18. What are the prime factors of k?
7
Let g(o) = o**3 - 6*o**2 - o + 6. Let m be g(6). Suppose 4*q - 51 - 13 = m. What are the prime factors of q?
2
List the prime factors of (-4 - 0)*(-21)/12.
7
Suppose 2*v + 5*i - 7 = -0*i, -3*v - 2*i + 16 = 0. Let q be (-2)/8*(-24)/v. List the prime factors of (q/(-2))/((-1)/16).
2
Let j = 5 + -4. What are the prime factors of (26/4)/(j/2)?
13
Suppose 382 = 6*z - 458. What are the prime factors of z?
2, 5, 7
Let z(n) be the first derivative of n**3/3 + 11*n - 1. List the prime factors of z(0).
11
Suppose 14 = 4*t + 4*q - 78, -3*t + 5*q = -77. What are the prime factors of t?
2, 3
Let r = -417 - -697. What are the prime factors of r?
2, 5, 7
Let q(z) = -z**2. Let s(i) = -13*i**2 + i + 2. Let l(y) = 4*q(y) - s(y). Let k be l(-2). Suppose 0 = -3*c - 0*c + k. List the prime factors of c.
2, 3
Let h(j) = j + 10. Let t = 2 + -10. Let q be h(t). Let w(f) = 2*f**3 - 4*f**2 + 3*f. What are the prime factors of w(q)?
2, 3
Let x(c) = -3*c**2. Let u be x(-1). Let g be (-20)/(-3) - (-2)/u. Suppose -g*d + 3*d = -2*w - 12, -d = -3*w - 4. List the prime factors of d.
2
Let k(p) = -p*
|
{
"pile_set_name": "DM Mathematics"
}
|
nt from {z: 3, w: 1, k: 4, n: 2, f: 2}. Give prob of picking 1 w, 1 n, and 1 k.
2/55
Calculate prob of picking 2 c and 1 h when three letters picked without replacement from {o: 3, c: 5, a: 3, u: 3, h: 2}.
1/28
Calculate prob of picking 3 g when three letters picked without replacement from {c: 3, g: 5}.
5/28
Calculate prob of picking 4 e when four letters picked without replacement from eeewewzwzzez.
1/99
Calculate prob of picking 3 e and 1 l when four letters picked without replacement from {l: 10, e: 10}.
80/323
Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {z: 6, b: 3, i: 3, n: 6}.
4/17
Calculate prob of picking 1 s and 1 d when two letters picked without replacement from ddsdbdsdsbed.
3/11
What is prob of picking 1 n and 1 e when two letters picked without replacement from {e: 11, n: 3, m: 1}?
11/35
Calculate prob of picking 3 d when three letters picked without replacement from {g: 7, d: 12}.
220/969
Two letters picked without replacement from {b: 2, l: 2, n: 1, p: 1}. What is prob of picking 1 p and 1 l?
2/15
What is prob of picking 2 b and 1 u when three letters picked without replacement from bubggbusbbb?
2/11
What is prob of picking 1 x and 2 k when three letters picked without replacement from {k: 2, m: 3, x: 1, i: 1}?
1/35
Three letters picked without replacement from bbbccbbc. Give prob of picking 3 b.
5/28
What is prob of picking 2 d when two letters picked without replacement from {o: 2, d: 4, q: 2, f: 2}?
2/15
Four letters picked without replacement from {g: 3, m: 2, x: 3, w: 1, e: 6, h: 4}. Give prob of picking 1 g, 2 x, and 1 e.
9/646
Calculate prob of picking 1 t and 2 r when three letters picked without replacement from rtttnthtrrth.
9/110
Three letters picked without replacement from {s: 2, q: 3, t: 3}. What is prob of picking 2 s and 1 q?
3/56
Calculate prob of picking 2 r, 1 w, and 1 g when four letters picked without replacement from gggbbrgwgrbbgwgg.
4/455
Two letters picked without replacement from cmcckznczkyzznyzz. What is prob of picking 1 k and 1 z?
3/34
Four letters picked without replacement from iiwwilwnwwww. What is prob of picking 1 w, 1 n, and 2 i?
7/165
Four letters picked without replacement from {d: 6, f: 3, w: 4, t: 1}. What is prob of picking 2 d, 1 f, and 1 w?
180/1001
What is prob of picking 1 v, 1 p, 1 f, and 1 e when four letters picked without replacement from tvfep?
1/5
What is prob of picking 1 r and 2 h when three letters picked without replacement from hrrjhj?
1/10
What is prob of picking 1 k and 1 e when two letters picked without replacement from {k: 2, e: 4, p: 1, s: 2, d: 1}?
8/45
Calculate prob of picking 3 q when three letters picked without replacement from {q: 6, d: 6}.
1/11
What is prob of picking 3 l when three letters picked without replacement from cmcmmllmcmccmlmm?
1/560
Three letters picked without replacement from {k: 3, d: 3, x: 1, z: 2, w: 10}. Give prob of picking 1 d and 2 w.
45/323
Two letters picked without replacement from {q: 7, o: 6, j: 5, b: 1}. What is prob of picking 1 q and 1 o?
14/57
Three letters picked without replacement from {c: 5, r: 13}. What is prob of picking 2 c and 1 r?
65/408
Calculate prob of picking 1 e, 1 l, and 1 w when three letters picked without replacement from weekexkwwlbbb.
9/286
What is prob of picking 1 q, 1 s, and 1 a when three letters picked without replacement from {a: 2, b: 2, q: 9, s: 3, f: 1}?
27/340
What is prob of picking 1 m, 1 n, 1 a, and 1 l when four letters picked without replacement from {m: 1, c: 1, n: 1, a: 2, l: 2}?
4/35
What is prob of picking 1 j and 2 w when three letters picked without replacement from jjwwpwwjwwwwwwww?
99/280
Two letters picked without replacement from {p: 6, r: 4, q: 1}. What is prob of picking 2 p?
3/11
Calculate prob of picking 1 o and 1 s when two letters picked without replacement from tsoqt.
1/10
Four letters picked without replacement from {l: 3, o: 3, s: 3, a: 6}. Give prob of picking 2 o, 1 a, and 1 l.
18/455
What is prob of picking 1 m and 2 i when three letters picked without replacement from {m: 3, i: 5, f: 1, t: 3}?
3/22
Calculate prob of picking 1 s, 1 c, and 1 k when three letters picked without replacement from {c: 1, u: 1, k: 1, s: 1, o: 1}.
1/10
Two letters picked without replacement from {c: 1, b: 2, a: 2, f: 1, k: 1}. What is prob of picking 1 c and 1 k?
1/21
Four letters picked without replacement from {o: 4, v: 4, z: 2, q: 2}. Give prob of picking 2 q and 2 z.
1/495
Three letters picked without replacement from qqlqqlqlllqqqqlllll. What is prob of picking 3 l?
40/323
Three letters picked without replacement from {m: 5, t: 6, h: 2}. What is prob of picking 1 t and 2 m?
30/143
Four letters picked without replacement from ddddd. Give prob of picking 4 d.
1
Four letters picked without replacement from vnavvnhavh. Give prob of picking 1 a, 1 n, and 2 v.
4/35
Three letters picked without replacement from {n: 4, a: 6}. Give prob of picking 3 a.
1/6
Three letters picked without replacement from {u: 5, q: 2, j: 6}. What is prob of picking 3 u?
5/143
Two letters picked without replacement from lxwqwqkxs. What is prob of picking 1 k and 1 l?
1/36
Three letters picked without replacement from {y: 1, e: 2, g: 8, a: 4}. Give prob of picking 2 a and 1 e.
12/455
Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {b: 1, c: 6, e: 9, o: 1, j: 2}.
4/57
Four letters picked without replacement from sssssssssmssssssssss. What is prob of picking 1 m and 3 s?
1/5
Two letters picked without replacement from lnnlnln. What is prob of picking 2 l?
1/7
Calculate prob of picking 1 m and 3 t when four letters picked without replacement from mmttmmmmmmmmmmmmmtmt.
64/4845
Calculate prob of picking 4 p when four letters picked without replacement from {y: 5, p: 8}.
14/143
Calculate prob of picking 1 c and 1 s when two letters picked without replacement from cddcdstd.
1/14
What is prob of picking 3 u when three letters picked without replacement from {u: 10}?
1
What is prob of picking 2 w and 2 q when four letters picked without replacement from {q: 3, w: 7, s: 4, h: 4}?
7/340
Three letters picked without replacement from {a: 7, o: 4, s: 3}. What is prob of picking 3 a?
5/52
Two letters picked without replacement from {w: 1, u: 6, t: 4}. What is prob of picking 1 u and 1 t?
24/55
Calculate prob of picking 1 j and 1 l when two letters picked without replacement from slsjsljsssll.
4/33
Calculate prob of picking 2 b and 2 j when four letters picked without replacement from {j: 5, b: 7, z: 2}.
30/143
Two letters picked without replacement from rcrccnrnrccc. Give prob of picking 1 r and 1 n.
4/33
Two letters picked without replacement from {p: 9, r: 2, o: 2}. Give prob of picking 2 o.
1/78
Four letters picked without replacement from zbozwozozo. What is prob of picking 1 b and 3 o?
2/105
What is prob of picking 3 l when three letters picked without replacement from lllnllrlrlllllrlllll?
28/57
Two letters picked without replacement from jjgcjci. Give prob of picking 1 g and 1 i.
1/21
Three letters picked without replacement from zlllz. Give prob of picking 3 l.
1/10
Calculate prob of picking 3 d and 1 s when four letters picked without replacement from sddsdss.
4/35
Three letters picked without replacement from {n: 8, a: 8, w: 2}. What is prob of picking 1 a and 2 w?
1/102
What is prob of picking 1 g, 1 m, and 1 u when three letters picked without replacement from urgrm?
1/10
What is prob of picking 1 p, 1 y, and 1 n when three letters picked without replacement from pptdnyn?
4/35
Calculate prob of picking 1 u and 1 t when two letters picked without replacement from tccutuutccct.
2/11
Four letters picked without replacement from sukkuussksuus. Give prob of picking 3 k and 1 u.
1/143
Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {o: 5, m: 4, e: 4, x: 2}.
8/105
Three letters picked without replacement from {v: 3, u: 2, s: 1, z: 3, l: 1}. Give prob of picking 1 s, 1 u, and 1 z.
1/20
Calculate prob of picking 2 o when two letters picked without replacement from dxxxxxxxxoxxxod.
1/105
Two letters picked without replacement from {w: 3, b: 1}. Give prob of picking 2 w.
1/2
Calculate prob of picking 1 i and 2 j
|
{
"pile_set_name": "DM Mathematics"
}
|
38. Suppose -2*i + 5*c = 4*c - 4, -i = 2*c + 8. Suppose 2*k - 4 = 12. Calculate the remainder when z(i) is divided by k.
6
Let t(b) = -52*b - 65. Let r(a) = 26*a + 33. Let d(i) = 9*r(i) + 4*t(i). What is the remainder when d(7) is divided by 37?
34
Let g be (-16*4/5)/((-8)/40). Let k = g - 39. What is the remainder when 124 is divided by k?
24
Let w = 2 - -27. Let g = 52 - w. Suppose k = -4*k + 220. Calculate the remainder when k is divided by g.
21
Let z be 32/(-48) + (-904)/(-6). Suppose -z*o + 14 = -148*o. Calculate the remainder when 20 is divided by o.
6
Let t(m) = -m**2 - 8*m - 10. Let j be t(-6). What is the remainder when (4/(-6))/(j/(-27)) is divided by 4?
1
Let t = 6 + 14. Suppose 10 = c - t. Suppose -6*r = -r + 2*h - 63, r + 4*h = 27. What is the remainder when c is divided by r?
8
Suppose c + 10 = -3*u + u, -3*c + 5*u + 25 = 0. Suppose 4*j + 3*a - 136 = 8*a, -5*j + 3*a + 170 = c. Calculate the remainder when 135 is divided by j.
33
Let c(j) = -10*j - 34. Let d be c(-6). Let z = -14 + d. What is the remainder when 106 is divided by z?
10
Suppose 5*d - 19 - 71 = 2*r, -2*d = 4*r - 60. What is the remainder when 57 is divided by d?
17
Suppose -f - 646 = 5*a, 0 = -5*a - 6*f + 8*f - 643. Let z = -112 - a. Calculate the remainder when 45 is divided by z.
11
Let x be 81/18*2/(-3). Let g(n) = -n + 4. Calculate the remainder when 25 is divided by g(x).
4
Suppose 18*m - 14*m = -2*o - 12, 4*o - m = 21. What is the remainder when 9 is divided by o?
1
Calculate the remainder when 10 is divided by (21/(-7) - -6) + 2/(-1).
0
Let a(l) = l**3 - 11*l**2 + 10*l - 9. Let s be a(10). Suppose 3*o = b + 10, 2*b - 18 = 3*b + o. Let y = s - b. What is the remainder when y is divided by 4?
3
Suppose 6 - 4 = m. Suppose 4*b - 3*j = 44, m*j = 2*b - 0*b - 20. What is the remainder when 55 is divided by b?
13
Suppose -5*d = -3*d - 60. Let k = 36 - d. Calculate the remainder when k is divided by 2.
0
Let i(m) = -21*m - 18. Let g be i(-6). Suppose -16*w - g = -620. Calculate the remainder when w is divided by 5.
2
Suppose 2 = l + 3. Let w(d) = 36*d**2 - 7*d - 9. Let f(v) = 18*v**2 - 3*v - 4. Let o(z) = 9*f(z) - 4*w(z). What is the remainder when o(l) is divided by 5?
2
Let a(t) be the second derivative of 2*t - 3/20*t**5 - 1/2*t**3 - 3/2*t**2 + 0 - 1/12*t**4. Calculate the remainder when 66 is divided by a(-2).
20
Suppose 0 = d + 1 - 3. Suppose -m = -d*z, 4*m + 4*z - 9 = 3. Suppose -51 = -h - m. Calculate the remainder when h is divided by 26.
23
Let j(l) = l**2 + 3*l + 2. Calculate the remainder when (-12)/27 - 422/(-18) is divided by j(-5).
11
Suppose 8 = -t + 3*q, -2*t - 2*q = -1 - 23. Let d(i) = -3 + t*i + 6*i + i. Calculate the remainder when d(2) is divided by 9.
7
Let c = 34 + 34. Let k = 35 + -31. Suppose 2*o = k*o - c. Calculate the remainder when o is divided by 18.
16
Let w(q) = -q**2 - 16*q - 42. Let i be w(-12). Let j(p) = 3*p**2 + 2*p - 4. What is the remainder when j(i) is divided by 40?
36
Let m(t) = t**2 - 18*t + 11. Let d = -17 + 25. Calculate the remainder when m(18) is divided by d.
3
Suppose b = -p + 17, 2*b - 3*p + 150 = 189. Calculate the remainder when 298 is divided by b.
10
What is the remainder when 183 is divided by (-1)/6 + (-3324)/(-72)?
45
Let t(z) = -z**2 + 7*z - 14. Let m be t(4). Suppose 6*j + 2*y = 5*j + 38, -3*j + 100 = -y. What is the remainder when j is divided by (-248)/(-14) + m/(-7)?
16
Suppose -z - 52 = 4*m, -2*m + 2*z = 9 + 7. Let a = 7 - m. What is the remainder when a is divided by 11?
8
Let w = -266 - -271. Let x(a) = -4*a - 2. Suppose 3*q + 20 = 5. Calculate the remainder when x(q) is divided by w.
3
Let y(g) = 3*g**2 + 1 - 8 - 3*g - 2*g. What is the remainder when y(-3) is divided by 9?
8
Let j(m) = 9*m - 6 - 2 + 3 + 1. Let z be j(-6). Let b = -26 - z. What is the remainder when b is divided by 11?
10
Suppose 0 = 5*w + 110 - 20. Let p = w + 45. Let f = -24 + p. Calculate the remainder when f is divided by 3.
0
Suppose 4*k + r - 832 = -0*r, -402 = -2*k - 4*r. Suppose o - k = 190. What is the remainder when 65 is divided by 3/(-12) + o/12?
32
Suppose -4*a + 414 = -2*a. What is the remainder when a is divided by 35?
32
Let u(y) = 11*y**3 - 2*y**2 - 10*y + 8. Let p be u(3). Let d be (50/4)/((-1)/14). Let b = p + d. What is the remainder when b is divided by 21?
19
Suppose j - z + 0*z = 48, -5*j - 3*z + 224 = 0. Let w = -17 + j. Calculate the remainder when 113 is divided by w.
26
Let m(d) = d - 12. Let a be m(9). Calculate the remainder when (115/5 + a)*2 is divided by 15.
10
Suppose 0 = -7*p + 16219 + 10234. Calculate the remainder when p is divided by 28.
27
What is the remainder when -6 + (10 - 3) + 2 + 191 is divided by 29?
20
Suppose 4*z + 11 = 159. Suppose -5 = -g - 1. Suppose 7*v - 30 = g*v. What is the remainder when z is divided by v?
7
Suppose 4*j - 7 = -2*m + 19, -5*m + 16 = 3*j. What is the remainder when 74 is divided by j?
4
What is the remainder when -6*(-18)/(-81) - 9590/(-6) is divided by 20?
17
Let g(h) = h**3 + 23*h - 9. What is the remainder when g(4) is divided by 24?
3
Let m(x) = -x**3 - 6*x**2 - x + 2. Suppose 2*l = 6*l + 3*o + 18, 2*o + 14 = -3*l. Calculate the remainder when 12 is divided by m(l).
4
Let o = -59 - -117. Suppose -3*h = -2*h - o. Let b = 0 + 15. Calculate the remainder when h is divided by b.
13
Suppose 16*u - 35 - 317 = 0. Suppose -307 + 92 = -5*r. Calculate the remainder when r is divided by u.
21
Let t = -863 - -877. Calculate the remainder when 132 is divided by t.
6
Suppose -2*v - 2 + 0 = 0. Let l be (-12)/(4/v)*1. Suppose -5*q = -l*i - 195, -q - 178 = -5*q - 2*i. Calculate the remainder when q is divided by 11.
9
Let d(f) = 4*f - 17. Let q(x) = -x**2 + 11*x - 11. Let j be q(9). What is the remainder when d(j) is divided by 4?
3
Let i(d) = -8*d - 1. Let h(f) = -3*f - 1. Let v be h(-2). Suppose -26 + 106 = v*b. Calculate the remainder when i(-8) is divided by b.
15
Let f(c) = -90*c**2 + c + 1. Let a be f(-1). Suppose 76 = -2*j - 194. Let b = a - j. What is the remainder when b is divided by 24?
21
Suppose 3*v = 6*v + 123. Let m = 21 - v. Calculate the remainder when m is divided by 9.
8
Suppose -52 = 3*k + 233. Let j = -87 - k. Calculate the remainder when 13 is divided by j.
5
Let p(w) = w**3 - 4*w**2 - 5*w + 6. Let s be p(4). Let t = 40 + s. Calculate the remainder when t is divided by 14.
12
Suppose -3*c + 17 = -2*c. Let d = 34341 + -34316. What is the remainder when d is divided by c?
8
Let a(i) = 14*i + 30. Calculate the remainder when 59 is divided by a(-1).
11
Suppose 5*o - 350 - 183 = -3*p, -202 = -2*o - 4*p. Let a(h) = -4*h - 6. Calculate the remainder when o is divided by a(-7).
21
Let k be 0 - (-2 - -8)/(-2). Suppose 5*i = k*i + 42. What is the remainder when 59 is divided by i?
17
What is the remainder when ((225/(-6))/(-5))/((-2)/(-36)) is divided by 62?
11
Let n = 197 - 126. Calculate the remainder when 206 is divided by n.
64
Let k(i) = -7*i - 4. Let l = -20 - -18. Calculate the remainder when 27 is divided by k(l).
7
Suppose 75*u - 12 = 74*u. What is the remainder when 419 is divided by u?
11
Suppose -5*l + 25 = 0, -2*l - 190 = -3*m + 364. Let y = m - 101. What is the remainder when y is divided by 30?
27
Suppose -b + 220 + 152 = 3*d, -5*d + 616 = 3*b. What is the remainder when d is divided by 14?
13
Suppose -4*a = -4*w - 20, 5*a - 4*a - 7 = -w. What is the remainder when 233 is divided by a?
5
Let v = 156 + -113. What is the remainder when 122 is divided by v?
36
Suppose 15*z = 9*z + 2244. What is the remainder when z is divided by 42?
38
Suppose 0 = -49*m - 760 + 8257. What is the remainder when m is divided by 78?
75
Let g = -221 - -223. Suppose -8 = -2*o - 0*o. Calculate the remainder when o is divided by g.
0
Suppose 0*c - 2*c = 52. Let p = c - -37. What is the remainder when 13/(-65) + 642/10 is divided by p?
9
Suppose 2*i + 2*c = 38, -8*i + 4*i + 66 = -c. Let o = 167 + -85. Suppose -3*g = 4*b - g - 328, b + 4*g = o. What is the remainder when b is divided by i?
14
Let w(l) = l**3 - 3*l**2 - 3*l - 1. Let c be w(-2). Let q = c + 22. Suppose 2*d = d + q. Calculate the remainder when 12 is divided by d.
5
Let v be -3 - -4 - -68 - 2. Let s = 142 - v. What is the remainder when s is divided by 26?
23
Let r(x) = -x**3 + 11*x**2 + 4. Let b be r(11). Suppose 0
|
{
"pile_set_name": "DM Mathematics"
}
|
-114, -4, -1, 1, 5
Sort 5, 12782, -47, 0 in ascending order.
-47, 0, 5, 12782
Sort 0, 1, 4, -243, 76, -1.
-243, -1, 0, 1, 4, 76
Sort -4, -3, 1550.
-4, -3, 1550
Sort -2, -3, 91, 4, -79 in increasing order.
-79, -3, -2, 4, 91
Sort -18, -425, -0.07.
-425, -18, -0.07
Put -4, -1777, -9 in decreasing order.
-4, -9, -1777
Put -14, -495, 1 in decreasing order.
1, -14, -495
Sort -8, 5, -144 in increasing order.
-144, -8, 5
Sort 3, -20, 45, -1 in ascending order.
-20, -1, 3, 45
Put -20, 2, 40, 7 in descending order.
40, 7, 2, -20
Sort -2584, 23, 7 in increasing order.
-2584, 7, 23
Sort 1, 0.09, -118, -1.5 in ascending order.
-118, -1.5, 0.09, 1
Put 12/2039, 3, -2 in decreasing order.
3, 12/2039, -2
Sort -2, -48, -98, 15 in ascending order.
-98, -48, -2, 15
Sort -24, -1/4, 6, 0.06, 2, 5.
-24, -1/4, 0.06, 2, 5, 6
Sort -1286, -6, -4, -5, 4, -11 in ascending order.
-1286, -11, -6, -5, -4, 4
Put 67, -177, -2 in descending order.
67, -2, -177
Sort 2/5, 15/8, 53 in decreasing order.
53, 15/8, 2/5
Put 0.2, -0.444, -541, -0.1 in descending order.
0.2, -0.1, -0.444, -541
Put 45, 202, -3/23 in increasing order.
-3/23, 45, 202
Put -3, 0.1, 10/1471, -0.2 in ascending order.
-3, -0.2, 10/1471, 0.1
Sort -228, -0.298, -0.5 in increasing order.
-228, -0.5, -0.298
Sort 3, -19, 134, -4.
-19, -4, 3, 134
Sort -8, 3, 64384 in increasing order.
-8, 3, 64384
Sort -73/6, 0.2, 0.1 in increasing order.
-73/6, 0.1, 0.2
Sort 0, 2, 5, 1, -191.
-191, 0, 1, 2, 5
Sort 1/21, 0.4, 3/151, -4 in descending order.
0.4, 1/21, 3/151, -4
Put 0.2, 3, 1/4, -0.5, 6/97, 3/35 in ascending order.
-0.5, 6/97, 3/35, 0.2, 1/4, 3
Put 3, 0, -2, -1, 839, 5 in ascending order.
-2, -1, 0, 3, 5, 839
Sort 51, -7, 2, 7.
-7, 2, 7, 51
Put 10/17, 23, 11 in descending order.
23, 11, 10/17
Put 22, -8226, -4 in decreasing order.
22, -4, -8226
Sort 1/2, -2, 5, -0.962, -1 in decreasing order.
5, 1/2, -0.962, -1, -2
Put 0.06, 2/3, -4, 0, 0.03 in decreasing order.
2/3, 0.06, 0.03, 0, -4
Put -310, 5, -4036 in ascending order.
-4036, -310, 5
Put -20, 1, -4, 118 in decreasing order.
118, 1, -4, -20
Sort 1, -6, 104, -2 in descending order.
104, 1, -2, -6
Put 1/26, -0.1, -137 in increasing order.
-137, -0.1, 1/26
Put -4, -4/9, 182, -2 in ascending order.
-4, -2, -4/9, 182
Sort 0.3, 0.009, 3/4, 0, 3/113.
0, 0.009, 3/113, 0.3, 3/4
Sort -4, 3, -5, 2.
-5, -4, 2, 3
Sort -4, -1, 17, -5, -20, 2.
-20, -5, -4, -1, 2, 17
Sort 547.4, 0.1, 4, -2, -1 in decreasing order.
547.4, 4, 0.1, -1, -2
Sort -741, 1/3, 1/4, 0.083 in descending order.
1/3, 1/4, 0.083, -741
Sort -2370, 4, -5, 3, 5, -4 in ascending order.
-2370, -5, -4, 3, 4, 5
Sort -2, 1, -101, 9 in descending order.
9, 1, -2, -101
Put 3, 34, -1, 7, -2 in increasing order.
-2, -1, 3, 7, 34
Sort 5, 2, -5, -1, 0, 6 in decreasing order.
6, 5, 2, 0, -1, -5
Put -307, -13, -1, 10 in descending order.
10, -1, -13, -307
Sort 5, -8, -1, -16 in increasing order.
-16, -8, -1, 5
Put 1, -15, -1, 0, 5, -21 in increasing order.
-21, -15, -1, 0, 1, 5
Sort 6, 1.4, -0.1, -0.2, 2 in decreasing order.
6, 2, 1.4, -0.1, -0.2
Sort -70, 5, -0.4, 0.1 in ascending order.
-70, -0.4, 0.1, 5
Sort -4, -2, -24032.9 in ascending order.
-24032.9, -4, -2
Put -26, 233, 7 in increasing order.
-26, 7, 233
Sort -8, 5, 7, -69, -4 in decreasing order.
7, 5, -4, -8, -69
Put 1, -376, 0 in increasing order.
-376, 0, 1
Sort 0.2, 26, 16, 2 in ascending order.
0.2, 2, 16, 26
Put -4, -12/25, 0.35, 5 in increasing order.
-4, -12/25, 0.35, 5
Put 1, -5, 2, 3373, -7, -2 in descending order.
3373, 2, 1, -2, -5, -7
Sort -5, -1/19, 55, -0.61 in descending order.
55, -1/19, -0.61, -5
Put -2, 81, 25, -4, -1, -5 in decreasing order.
81, 25, -1, -2, -4, -5
Sort -8514, -32, -1 in ascending order.
-8514, -32, -1
Sort -3, 5, 330/19, -361.
-361, -3, 5, 330/19
Sort -1, 0.568, -2/5, 2/7 in increasing order.
-1, -2/5, 2/7, 0.568
Sort -5, 3, -4, -79, -1 in descending order.
3, -1, -4, -5, -79
Put -2/33, -1, 4/1067, 0, -3 in descending order.
4/1067, 0, -2/33, -1, -3
Sort -1490, 4, -1, 1.
-1490, -1, 1, 4
Sort -12, -4, 3, 0, 48, 74.
-12, -4, 0, 3, 48, 74
Sort -6, -5, 0, 5, 1912.
-6, -5, 0, 5, 1912
Sort -0.2, -231, -3, -0.5, -5, -32.
-231, -32, -5, -3, -0.5, -0.2
Sort 5, -0.02, 2551 in decreasing order.
2551, 5, -0.02
Sort -0.5, 5.8, -1/4, -3/359 in increasing order.
-0.5, -1/4, -3/359, 5.8
Sort 8, 35, -4, 4, 18.
-4, 4, 8, 18, 35
Sort -3, -9, 18, -6 in descending order.
18, -3, -6, -9
Sort -53, -23, 4/5 in descending order.
4/5, -23, -53
Sort 1, -0.26, 17, 93/8.
-0.26, 1, 93/8, 17
Sort 21, -0.03, -2/3, -4, -2/61 in ascending order.
-4, -2/3, -2/61, -0.03, 21
Sort 0, -2/9, -1/11, 438 in ascending order.
-2/9, -1/11, 0, 438
Put 0.4, -488, 3, 0.9, 1, -3 in decreasing order.
3, 1, 0.9, 0.4, -3, -488
Put 3, 6, 42, -5, -2 in decreasing order.
42, 6, 3, -2, -5
Put -8, -7, -5, -2, 72 in decreasing order.
72, -2, -5, -7, -8
Put 3, 1, -30420 in decreasing order.
3, 1, -30420
Sort 23, 1449.9, 0 in descending order.
1449.9, 23, 0
Put 29, 20, -0.13, 6/7 in descending order.
29, 20, 6/7, -0.13
Put -0.5, 2, -16, 200 in decreasing order.
200, 2, -0.5, -16
Sort 1974, -5, -15, -13, -1 in ascending order.
-15, -13, -5, -1, 1974
Sort 4, 0, 5, -24, -2, -69 in decreasing order.
5, 4, 0, -2, -24, -69
Put 6/185, 0.42, -2/5, -2/3 in increasing order.
-2/3, -2/5, 6/185, 0.42
Sort 3, -14, -3, 0, -4, -1 in decreasing order.
3, 0, -1, -3, -4, -14
Put -1, 20.91, -0.2, -5/2, -5 in ascending order.
-5, -5/2, -1, -0.2, 20.91
Put 16, 3877, -1 in descending order.
3877, 16, -1
Sort 4149, 4, -8 in descending order.
4149, 4, -8
Sort 3, 6, -2, -3526, 1.
-3526, -2, 1, 3, 6
Put -0.5, 2753/6, -3, -4, 0.5, 0.3 in increasing order.
-4, -3, -0.5, 0.3, 0.5, 2753/6
Sort -0.0119, 2/33, -1 in descending order.
2/33, -0.0119, -1
Put -2/11, -2/267, 1.6, -3/5 in descending order.
1.6, -2/267, -2/11, -3/5
Put -296, -92/5, 0.1, -2/5 in increasing order.
-296, -92/5, -2/5, 0.1
Sort 2, 0, 45, -270, -1, -2.
-270, -2, -1, 0, 2, 45
Sort 3, -3799, -5 in decreasing order.
3, -5, -3799
Put -28/111, -128, -3/5 in descending order.
-28/111, -3/5, -128
Put 3, 2, 13, 10, -4 in increasing order.
-4, 2, 3, 10, 13
Sort -2, 0.03, -6, -1, 0.058 in decreasing order.
0.058, 0.03, -1, -2, -6
Sort -2, -0.3, 1, 5, -421, 2.
-421, -2, -0.3, 1, 2, 5
Sort 5, 2/11, 0.194 in descending order.
5, 0.194, 2/11
Sort 0.74, -5.3, -5/2, -14 in descending order.
0.74, -5/2, -5.3, -14
Put 660481, -3, 3 in decreasing order.
660481, 3, -3
Sort -0.5, -2, -1/79, 0.1146 in decreasing order.
0.1146, -1/79, -0.5, -2
Sort 2/7, 4, 1/11, -10367, -2/5.
-10367, -2/5, 1/11, 2/7, 4
Sort -2, -230, 1, 4, 2 in decreasing order.
4, 2, 1, -2, -230
Sort -63, 4, 1, -3 in increasing order.
-63, -3, 1, 4
Put -3, 1, 41, -3/8, 49, -4 in decreasing order.
49, 41, 1, -3/8, -3, -4
Put 1, 123, -2/49, -13 in decreasing order.
123, 1, -2/49, -13
Sort -4, 99, -25/27 in decreasing order.
99, -25/27, -4
Sort -1.56, -193, -8/11 in descending order.
-8/11, -1.56, -193
Sort -4, 2213, -3, 4, 8 in decreasing order.
2213, 8, 4, -3, -4
Sort 42, -1, -6, 4, 5, -109.
-109, -6, -1, 4, 5, 42
Put -1, -4, 3, 1, -190, 5 in decreasing order.
5, 3, 1, -1, -4, -190
Sort -3, -1.05, -10, 1/3.
-10, -3, -1.05, 1/3
Sort 2, -68, -0.1, -34/3, 3.
-68, -34/3, -0.1, 2, 3
Sort 5, -1/6, 3, 1, -1, 1.04 in descending order.
5, 3, 1.04, 1, -1/6, -1
Sort -51, -2, 3, -17, 15 in descending order.
15, 3, -2, -17, -51
Sort -4, -8, -1, -3, 5 in ascending order.
-8, -4, -3, -1, 5
Sort 3, 1099, 19 in ascending order.
3, 19, 1099
Sort 123, 4, 236.
4, 123, 236
Put 60, -3, 1, -39, 4 in ascending order.
-39, -3, 1, 4, 60
Put 0, 5, -7, 1, -153, 1/5 in descending order.
5, 1, 1/5, 0, -7, -153
Put 44, 2, -2, -907 in ascending order.
-907, -2, 2, 44
Sort -1, -16, -2, -10, -3 in ascending order.
-16, -10, -3, -2, -1
Sort 4, -148, -71 in ascending order.
-148, -71, 4
Sort -6101, 7, -3 in descending order.
7, -3, -6101
Put 143, -4, -9, 5 in decreasing order.
143, 5, -4, -9
Put -124, -4, 1596 in descending order.
1596, -4, -124
Put -5, 0.3, -145, 2 in descending order.
2, 0.3, -5, -145
Put 4, -2, -1, -191, 34 in decreasing order.
34, 4, -1, -2, -191
Sort 10, 2, 3, 1, -2 in ascending order.
-2, 1, 2, 3, 10
Put 46.6, 1, 5, -2/31, 2/11 in decreasing order.
46.6, 5, 1, 2/11, -2/31
Sort 2/41, 4, -0.5, 24 in descending order.
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 0 + 10*b**2 + 11*b. List the prime factors of n(-16).
3, 5
Let t = -29 + 61. Suppose 0 = 2*p - t - 112. What are the prime factors of p?
2, 3
List the prime factors of 22519*4/(-42)*3/(-2).
3217
Suppose -3*b = k - 13736, 0*b + 18318 = 4*b + 2*k. Suppose -4*f + b = -5*g + 1101, -4*f = -2*g - 1388. What are the prime factors of ((-4)/6)/(16/g)?
29
Suppose -19*w + 53 = -18*w. Let h = 2 + w. What are the prime factors of h?
5, 11
Let z = 99 - 18. What are the prime factors of z?
3
Suppose 97 + 107 = 2*b. Suppose -5*x - 2 + b = m, 5*m - 500 = x. Suppose -5*l + 45 + m = 0. What are the prime factors of l?
29
Let o(n) = -10*n - 2*n - n + 18 - n**2 + 11. What are the prime factors of o(-14)?
3, 5
Let c = -3 - -6. Suppose 15 = s + 2*s, 536 = c*d + 4*s. What are the prime factors of d?
2, 43
Suppose 4*d = 3*d - 3*z + 256, -2*d + 512 = z. Suppose d = 2*h + 2*h. What are the prime factors of h?
2
Let b(v) = -256*v**3 + 9*v**2 + 9*v. What are the prime factors of b(-1)?
2
Let m be -8*(-738)/(-9)*1/(-2). Suppose -6*v + m = -2*v. What are the prime factors of v?
2, 41
Suppose -10*j + 4 = 14. List the prime factors of (-5 + 13)/(j/(2 + -22)).
2, 5
Suppose -3*j + g + 6808 = 0, 4*j - 725 - 8363 = -4*g. List the prime factors of j.
2, 5, 227
Suppose -8*k + 1922 = -4*k - f, 2*k - f = 960. List the prime factors of k.
13, 37
Let b(d) = 2*d**2 + 6*d + 7. Let p be b(-2). Let r be 19 + (3 - (3 - p)). Suppose 300 = -17*a + r*a. What are the prime factors of a?
2, 3, 5
Let y(d) be the third derivative of d**5/30 + 7*d**4/12 + 5*d**3/6 - 9*d**2. List the prime factors of y(-9).
41
Suppose 12*r + 66 = 15*r. Suppose -r*w = -15*w - 455. List the prime factors of w.
5, 13
Let n(s) = -s**2 + 9*s + s**3 - 3 - 4*s**2 + 8 + s**2. Let m be n(5). Let g = 134 - m. What are the prime factors of g?
59
Let p(c) = 18*c - 4. Suppose -8*d + 2 = -30. List the prime factors of p(d).
2, 17
Suppose 0 = -2*r, 4*u + 2*r - 5*r = 8. Suppose -u*h + 94 + 94 = 0. List the prime factors of h.
2, 47
Suppose -4*t - 584 = -5*a + 1476, -1268 = -3*a - 4*t. List the prime factors of a.
2, 13
Let l = -12 + 14. Suppose l*n + 0*n - 4 = 0. Suppose 3*c = g + 5 + 2, 0 = n*c - 5*g - 9. List the prime factors of c.
2
Suppose 5*t - 2*g = 4442, -2*g - 1 - 1 = 0. List the prime factors of t.
2, 3, 37
What are the prime factors of -1 + (-7)/(-6) + 99771/126?
2, 3, 11
Let l be (-12)/24 + 1942/4. Suppose -l = -7*c - 100. What are the prime factors of c?
5, 11
Suppose r + 14 = 3*n, -2*r - r + 8 = n. Suppose 0 = q - n*q + 188. Let f = -30 + q. What are the prime factors of f?
17
Suppose 68*b + 5 = 69*b. Suppose b*r - 5*f - 731 = -2*f, -3*f = 2*r - 305. List the prime factors of r.
2, 37
Let m(u) = -u**3 + 6*u**2 + 9*u - 1. Let s be m(5). What are the prime factors of ((-10)/(-10))/(1/s)?
3, 23
Let b be 9/(-3) + (-1 - (-2 + -14)). Let z(a) = -3*a**3 - 3*a - 1. Let w be z(-6). List the prime factors of 2/b + w/42.
2
Suppose 0 = -11*y + 10*y + 80. Suppose 0 = -4*p + 3*p + y. List the prime factors of p.
2, 5
Let u be -3 - 1/(3/(3 + -12)). Suppose 108 = 4*q + 2*n - 212, u = 3*n. List the prime factors of q.
2, 5
Let z be -123*1*(5 - 6). Suppose -n - 3*n + w + 435 = 0, -5*w - z = -n. List the prime factors of n.
2, 3
Suppose 63*x - 59*x = 0, -3*b + 3*x + 294 = 0. List the prime factors of b.
2, 7
Let h = -293 - -1380. List the prime factors of h.
1087
Let f(x) = -x + 3. Let p be f(6). Let w = -2 + p. List the prime factors of w/2*60/(-25).
2, 3
What are the prime factors of (-256)/(-20)*(72 + -2)?
2, 7
Let v be (-2 - -1) + (-1582)/(-7 + 0). Let m = v - 116. What are the prime factors of m?
109
Let d = -16 - -20. Let t(b) = -b**2 + 8*b - 8. Let s be t(d). Suppose 110 = -3*g + s*g. List the prime factors of g.
2, 11
Let p(k) = 9*k**2 + 3*k - 19. Let b(s) = 8*s**2 + 3*s - 17. Let i(z) = 6*b(z) - 5*p(z). List the prime factors of i(5).
83
Suppose 0 = -29*k + 30*k - 2. Suppose -k = -5*m - 7, 0 = -l + 4*m + 80. List the prime factors of l.
2, 19
Let n = -35 - -45. List the prime factors of 772/n - (-24)/30.
2, 3, 13
Let p(n) = n**2 + 10*n - 9. Let r be p(-11). Suppose -2 = r*w - 0*y + 5*y, -w - 3*y = 3. Let d(v) = 5*v - 2. What are the prime factors of d(w)?
43
Suppose -5*z - 153 = -3*r, 0 = -r + 1. Suppose -5*w + 76 = -d, -d + w + 276 = -6*d. What are the prime factors of d/(-42)*z/(-4)?
2, 5
Let y = 2142 + -432. List the prime factors of y.
2, 3, 5, 19
Let n be (6/18)/((-2)/(-60)). Suppose j - n = -j. Suppose j*s = 2*s + 48. List the prime factors of s.
2
Suppose 2*n = 3*p + n - 33, -5*n = -15. What are the prime factors of (-20)/(-15) - (-704)/p?
2, 3, 5
Let g(f) be the first derivative of f**3/3 + f**2/2 + 11*f + 7. List the prime factors of g(7).
67
Suppose -1 = 2*v + 2*b + 1, 0 = -2*v - 3*b - 7. Suppose -o + 15 = -v*s - 4*o, -2*s - 5*o = 11. What are the prime factors of s/(-9) + 71/3?
2, 3
Suppose 40 = 5*n - g - 7, g + 2 = 0. Suppose n*z = 10*z - 2. Suppose -10 = -z*m, -2*w + 5*w - 2*m - 191 = 0. What are the prime factors of w?
67
Let p = -1537 + 3576. List the prime factors of p.
2039
Let u = -203 + 379. What are the prime factors of u?
2, 11
Let z = -3 - 5. Let m be (z - (1 + -4)) + 0. Let h(n) = -13*n - 14. List the prime factors of h(m).
3, 17
Let s = -1203 + 1705. What are the prime factors of s?
2, 251
Suppose -16 = -6*d + 2*d. Suppose -k + d*k - 33 = 0. Let b = k + 13. List the prime factors of b.
2, 3
Suppose 8*r = 9*r - 20. Let d = r - -39. What are the prime factors of d?
59
Let i be 2 - (668/6)/((-4)/(-6)). What are the prime factors of i/(-2)*36/30?
3, 11
Suppose 0 = 4*p - 5*t + 17 - 45, -4*p - 5*t = -68. Suppose -p*k + 242 = -10*k. What are the prime factors of k?
11
Let n(m) be the first derivative of m**4/4 + 3*m**3 + 5*m**2/2 + 6*m - 1. Suppose -8 = -32*t + 33*t. What are the prime factors of n(t)?
2, 3, 5
Let a(f) = -246*f - 17. List the prime factors of a(-3).
7, 103
Let l be (-4 + -5 + 8)*-7. Let o(r) = 27*r + 28. What are the prime factors of o(l)?
7, 31
Suppose 2*n + 7*n - 27 = 0. Suppose n*l = 16*l - 715. What are the prime factors of l?
5, 11
Suppose -68272 + 6496 = -44*z. What are the prime factors of z?
2, 3, 13
Suppose -j = j + 2*r + 64, -4*j - r = 128. Let n be j/2 - (-3 + 1). What are the prime factors of 7/(n/(-8)) - -16?
2, 5
Let t(v) = v**2 + 3*v - 19. Let c be t(-6). What are the prime factors of -9 - -27 - (0 - (-1 - c))?
2, 3
Suppose f = 2*g + 68, 4*g = -0*f + f - 132. What are the prime factors of 97/4 - (-8)/g?
2, 3
Suppose 13 = 4*r + 5*q, 5*r + 5*q = 14 + 1. Suppose 0 = r*w + 2*w - 628. List the prime factors of w.
157
Let g = 1834 - 259. What are the prime factors of g?
3, 5, 7
What are the prime factors of ((-49)/28)/((-2)/360)?
3, 5, 7
Suppose -3 = -3*w + 3, 1246 = 2*k - 5*w. List the prime factors of k.
2, 157
Let a = 33 - 39. What are the prime factors of (-246)/(a + 0 - -4)?
3, 41
Suppose 0 = -5*l + 3*h + 679, -12*l = -16*l - 3*h + 527. List the prime factors of l.
2, 67
Let t be ((-5)/15)/((-2)/24). Suppose 0 = -v + t*v. What are the prime factors of (-31 - v/(-1))/(-1)?
31
Suppose 39*z = 42*z - 423. What are the prime factors of z?
3, 47
Let l be -1 - (-13 - (3 - 4)). Let q(z) = 3*z + 3 - 12*z**2 - 3*z - 7*z + l*z**2. List the prime factors of q(-4).
3, 5
Let p(q) = -q**3 - 18*q**2 - 17*q - 28. What are the prime factors of p(-20)?
2, 139
Let r be -4*(18/8 + -3). List the prime factors of -1 + r + 26 + 21.
7
Let w(i) = -i**2 - 5*i - 1. Let s be w(-4). What are the prime factors of s - (2 + -41 + 0)?
2, 3, 7
Let n be (-8)/(-20) + (-48)/(-5). Let s = 123 - n. Suppose -23 = 5*v - s. What are the prime factors of v?
2, 3
Suppose 0 = 2*n - 4055 + 2393. List the prime factors of n.
3, 277
Let f(y) = -y**3 - y**2 - 4. Let z be f(-2). Suppose 42 = -z*j + 2*j + 5*l, 0 = -4*l. What are the prime factors of j?
3, 7
List the prime factors of (-63)/(-21) - ((-2 - -2) + -17).
2, 5
Suppose -5*y + 3*h + 2021 = 0, 0 = -14*y + 10*y - 3*h + 1633. List the prime factors of y.
2, 7, 29
Let p(a) = a**3 - a. Let q be p(0). Suppose -2*t + 31 + 121 = q. Suppose 5*l = -3*h + 92, t = 5*l - 0*l - h. List the prime factors of l.
2
Let h = -3240 - -7265. What are the prime factors of h?
5, 7, 23
List the prime factors of (11 + -15 - -5)/(1/1823).
1823
Suppose 2*x = 6*y - 5*y + 282, 0 = 2*x + 4*y -
|
{
"pile_set_name": "DM Mathematics"
}
|
when 63830358 is divided by 2561?
2555
Calculate the remainder when 4546669 is divided by 10.
9
Calculate the remainder when 172707 is divided by 86315.
77
What is the remainder when 8875655 is divided by 4437795?
65
Calculate the remainder when 2690098 is divided by 672367.
630
What is the remainder when 148381 is divided by 464?
365
Calculate the remainder when 148845310 is divided by 6086.
8
What is the remainder when 3922214 is divided by 3130?
324
What is the remainder when 68596569 is divided by 1159?
1154
Calculate the remainder when 605082 is divided by 71.
20
What is the remainder when 77919 is divided by 1271?
388
Calculate the remainder when 31516535 is divided by 679.
71
Calculate the remainder when 902208 is divided by 4195.
283
What is the remainder when 11692135 is divided by 16?
7
What is the remainder when 1485941 is divided by 121?
61
What is the remainder when 3467545 is divided by 866886?
1
What is the remainder when 4620 is divided by 1602?
1416
Calculate the remainder when 242629 is divided by 299.
140
Calculate the remainder when 1615554 is divided by 16.
2
Calculate the remainder when 337092 is divided by 6.
0
What is the remainder when 22155414 is divided by 216?
78
What is the remainder when 953989 is divided by 4436?
249
What is the remainder when 192705 is divided by 7870?
3825
What is the remainder when 35138283 is divided by 5386?
19
Calculate the remainder when 31928 is divided by 751.
386
What is the remainder when 33477596 is divided by 16?
12
What is the remainder when 231251 is divided by 620?
611
What is the remainder when 517508 is divided by 7076?
960
What is the remainder when 127569 is divided by 4862?
1157
Calculate the remainder when 667590 is divided by 222489.
123
Calculate the remainder when 267095455 is divided by 46.
43
What is the remainder when 154125 is divided by 50948?
1281
What is the remainder when 19032174 is divided by 117?
18
Calculate the remainder when 165532 is divided by 55143.
103
What is the remainder when 99444892 is divided by 3092?
3080
Calculate the remainder when 388436 is divided by 2330.
1656
Calculate the remainder when 21292152 is divided by 103.
95
What is the remainder when 61090189 is divided by 74?
7
Calculate the remainder when 36988 is divided by 12329.
1
Calculate the remainder when 399226 is divided by 65.
61
Calculate the remainder when 98814 is divided by 16469.
0
Calculate the remainder when 2603173 is divided by 27.
22
What is the remainder when 1887787 is divided by 12024?
19
What is the remainder when 1198116 is divided by 88?
84
Calculate the remainder when 17675 is divided by 3514.
105
Calculate the remainder when 26755 is divided by 8854.
193
Calculate the remainder when 19370492 is divided by 1155.
1142
What is the remainder when 64007 is divided by 4558?
195
Calculate the remainder when 5816443 is divided by 306.
301
What is the remainder when 1562390 is divided by 39059?
30
Calculate the remainder when 956656 is divided by 954722.
1934
What is the remainder when 43715480 is divided by 255646?
14
What is the remainder when 4680375 is divided by 4102?
4095
Calculate the remainder when 305872 is divided by 644.
616
What is the remainder when 180472 is divided by 9861?
2974
What is the remainder when 25534550 is divided by 943?
939
Calculate the remainder when 159853 is divided by 966.
463
What is the remainder when 18137237 is divided by 9068617?
3
Calculate the remainder when 516906 is divided by 172241.
183
Calculate the remainder when 490773 is divided by 415.
243
What is the remainder when 2662566 is divided by 589?
286
Calculate the remainder when 1400362019 is divided by 926.
925
What is the remainder when 32441 is divided by 32268?
173
Calculate the remainder when 479166 is divided by 82.
40
What is the remainder when 13256532 is divided by 36?
0
What is the remainder when 927008 is divided by 261?
197
Calculate the remainder when 13338634 is divided by 5505.
19
Calculate the remainder when 1821444 is divided by 10842.
10830
What is the remainder when 466492 is divided by 10?
2
Calculate the remainder when 65113205 is divided by 1083.
1079
What is the remainder when 10580534 is divided by 52?
42
What is the remainder when 23135176 is divided by 791?
8
What is the remainder when 23364463 is divided by 2892?
2887
Calculate the remainder when 12213727 is divided by 42262.
9
Calculate the remainder when 23985 is divided by 7451.
1632
Calculate the remainder when 7732634 is divided by 4522.
14
Calculate the remainder when 1840266 is divided by 613414.
24
Calculate the remainder when 102322 is divided by 1432.
650
What is the remainder when 17924 is divided by 2134?
852
Calculate the remainder when 25449815 is divided by 4433.
4395
Calculate the remainder when 704780 is divided by 704764.
16
What is the remainder when 5908708 is divided by 3515?
3508
Calculate the remainder when 68824289 is divided by 18.
11
What is the remainder when 2666312 is divided by 296256?
8
What is the remainder when 12098431 is divided by 232?
95
Calculate the remainder when 51528 is divided by 12427.
1820
Calculate the remainder when 58361937 is divided by 1911.
1908
Calculate the remainder when 879108 is divided by 411.
390
What is the remainder when 83747 is divided by 33?
26
What is the remainder when 23548 is divided by 3726?
1192
What is the remainder when 1548370 is divided by 4816?
2434
Calculate the remainder when 44571211 is divided by 1366.
1363
Calculate the remainder when 52142146 is divided by 48.
34
What is the remainder when 798380 is divided by 574?
520
What is the remainder when 85493 is divided by 6504?
941
What is the remainder when 723541 is divided by 125?
41
What is the remainder when 1347374 is divided by 673618?
138
What is the remainder when 5464103 is divided by 873?
869
What is the remainder when 470074394 is divided by 595?
594
What is the remainder when 834948 is divided by 166985?
23
Calculate the remainder when 112522 is divided by 293.
10
What is the remainder when 5855486 is divided by 741?
104
Calculate the remainder when 640629 is divided by 73.
54
Calculate the remainder when 51855 is divided by 50339.
1516
Calculate the remainder when 5845568 is divided by 11507.
12
Calculate the remainder when 27038677 is divided by 49.
36
What is the remainder when 923761 is divided by 934?
35
What is the remainder when 42505840 is divided by 19?
9
Calculate the remainder when 10930312 is divided by 1366285.
32
Calculate the remainder when 117696 is divided by 439.
44
What is the remainder when 20711779 is divided by 6903905?
64
What is the remainder when 2575212 is divided by 31?
11
What is the remainder when 83824 is divided by 27941?
1
Calculate the remainder when 35896942 is divided by 3988542.
64
What is the remainder when 46918884 is divided by 3467?
3440
What is the remainder when 3675487 is divided by 612581?
1
What is the remainder when 1983706 is divided by 1658?
738
Calculate the remainder when 5181813 is divided by 2590884.
45
Calculate the remainder when 4075055 is divided by 27167.
5
What is the remainder when 146415 is divided by 20627?
2026
What is the remainder when 3957287 is divided by 791457?
2
Calculate the remainder when 143619 is divided by 38.
17
Calculate the remainder when 343281 is divided by 19009.
1119
What is the remainder when 4227991 is divided by 345?
16
Calculate the remainder when 88636606 is divided by 17939.
7
What is the remainder when 4590001 is divided by 22722?
157
What is the remainder when 5932893 is divided by 2966441?
11
What is the remainder when 917897 is divided by 5961?
5864
What is the remainder when 887671 is divided by 5411?
267
What is the remainder when 63149 is divided by 20743?
920
What is the remainder when 23602047 is divided by 7867345?
12
What is the remainder when 161685260 is divided by 921?
26
Calculate the remainder when 14077625 is divided by 35194.
25
Calculate the remainder when 4323930 is divided by 279.
267
What is the remainder when 191910 is divided by 5448?
1230
Calculate the remainder when 2191033183 is divided by 1574.
1573
What is the remainder when 7313479 is divided by 76?
75
Calculate the remainder when 1588515 is divided by 38743.
52
What is the remainder when 410086 is div
|
{
"pile_set_name": "DM Mathematics"
}
|
smallest value in 0.4, -3, g, c?
g
Suppose 4*a + 136 - 152 = 0. Suppose -3*s = -g + 2, -a = -g + s + 4*s. What is the biggest value in 7/4, -0.3, g?
7/4
Suppose u + 3 - 1 = 0. Let r be u/(-5) - (43/(-5) - -4). Suppose 16 = 2*j + 10. What is the second biggest value in -0.4, j, 1, r?
j
Let b = -2/2675 + -5332/24075. What is the second smallest value in b, 0.4, -28/11, -2/5?
-2/5
Let t = 144 - 142.3. Let x = -0.8 + t. Which is the smallest value? (a) 0 (b) x (c) 4
a
Let y = -12442 + 12447. What is the fourth biggest value in -0.5, 214, 1, y?
-0.5
Let x = -5.21202 - -0.01202. What is the second smallest value in x, -2/9, 0.9, 3/4?
-2/9
Let s = 1/84 + 247/420. Let z = 114.42 - -1.58. Let l = 117 - z. What is the second biggest value in 1/4, -6, l, s?
s
Let q = 16546 - 16547. Which is the third biggest value? (a) 1/4 (b) -221 (c) -4 (d) q
c
Let j = 155 - 150. Let z = -158 + 162. Which is the fourth biggest value? (a) -8 (b) z (c) -1 (d) j
a
Let x = -308 + 323.1. Let m = -2 + x. Let o = 10.1 - m. Which is the smallest value? (a) -0.6 (b) o (c) 3
b
Let t = 1.7 - 2.8. Let u be 4/14*819/1404. What is the smallest value in -0.4, t, 0.03, u?
t
Let g be 3 - (-6 - (-98)/12). Which is the third biggest value? (a) -6/13 (b) -5 (c) g
b
Let n be 152 + (-70)/18 + -1 + (-493)/4437. Which is the third biggest value? (a) 15 (b) 3 (c) n (d) -0.3
b
Suppose -3*a - 24 = -2*d, 2*d - 39 = -4*a - 15. Let z = d - -61. What is the second biggest value in z, 1/2, 3?
3
Suppose -675 = -47*m + 22214. Let o be (m - 491)*(-2)/(8/6). Which is the third biggest value? (a) -3 (b) 0.4 (c) o (d) -9
a
Let b be -25 + 20 - 93/(-18). What is the second smallest value in b, -0.12, -17/13?
-0.12
Let f be -1 + (4 + -1 - 0). Suppose -l - 10 = -f*t + 129, 4*t - 12 = 0. Let v = -535/4 - l. Which is the smallest value? (a) -3/2 (b) v (c) -0.1
a
Let t = 0.1967 + -2.1967. Which is the third biggest value? (a) t (b) 0.03 (c) -1 (d) -3/2
d
Let u be (2*(-5)/(-80))/(2/51). Let m = -341/112 + u. What is the second smallest value in 4, 0.4, m, -0.4?
m
Let u = -1811.9 + 1812. Which is the biggest value? (a) 0.5 (b) u (c) -5 (d) -628
a
Let i = -0.7 - -1.01. Let b = 0 + -0.4. What is the smallest value in i, 0.5, b?
b
Let r be 550/77 + (21 - 28) - -2. Let p be (-2)/11 + 1 + -1. Which is the third smallest value? (a) p (b) r (c) -6/11
b
Let f = 21.0917 - -0.0083. Let k = -74.1 + f. Which is the smallest value? (a) -2/9 (b) k (c) -0.1 (d) -0.3
b
Let o = 22048/9 + -2450. Which is the smallest value? (a) 1/3 (b) o (c) 3 (d) -1/21 (e) 9
b
Let r = 0.26 + 0.14. Suppose 0 = -2*m - 2*m + 4. Let n = -1073 + 1070. Which is the third biggest value? (a) n (b) m (c) r
a
Let t = -2254 - -2253.6. What is the third biggest value in -3, 0.4, 2/3, t, 0.2?
0.2
Let t = 1275 - 1274. Which is the second smallest value? (a) 122 (b) t (c) -0.3 (d) 0.3
d
Let s = 4.392 + -4.4. Let i = s + 0.011. Let p = i - 2.003. Which is the second smallest value? (a) -0.2 (b) 0.2 (c) p (d) 0.06
a
Let q = -27.2 - -27.707. Let c = q - 0.067. What is the second smallest value in -1/3, c, 0?
0
Let j = -0.8775 - -3.8775. What is the third smallest value in 0.4, -5/4, 0.041, j?
0.4
Let i be (0 - 5) + ((-20995)/(-70))/(-17). Let o = -176/7 - i. Which is the smallest value? (a) 4 (b) 0.01 (c) o
c
Let b = -10 + 5. Let h = -723.9482 - 0.0518. Let s = -731 - h. What is the second biggest value in s, 4, b, 1/3?
1/3
Let p be (-5 - 105/(-20)) + 549/(-2004). Let s = -704/1503 - p. Which is the third biggest value? (a) -1.3 (b) 2/15 (c) 2 (d) s
d
Let m = -43 + 18. Let w = 0.0431 - -0.9569. What is the smallest value in m, -2/5, w?
m
Let r = 0.328 + -0.128. Let a be (-1 + (-3)/(-2))*0. Let w = -1.657 - -1.557. What is the second smallest value in a, r, w?
a
Let n = 84 - 87. Let w be n/(-6) - 51/78. What is the biggest value in 2/5, w, 1/90?
2/5
Let q = 1123.5 - 1124. Let m = -9 - -9. Let g = 3 + m. Which is the biggest value? (a) q (b) 5 (c) g
b
Let t = 277 - 278.66. Let o = -1.7 - t. Which is the third biggest value? (a) o (b) 4/7 (c) -3/2
c
Let t = 145.2 + -145.1. Which is the smallest value? (a) t (b) 2 (c) 11.3
a
Let z = -37.93 + 40. Let x = z - 1.57. What is the fourth smallest value in 4, 2, x, -1/5?
4
Let h = 1/182 + 45/91. What is the smallest value in h, 0, -22?
-22
Let p = 3 - 35. Let z be 4/(-14) - p/(-84). Let d = 86.2 + -88.2. What is the second smallest value in d, 5, z?
z
Suppose 2*j - 20 + 22 = 0. Let i = -15.22 + 0.72. Let y = i - -17.5. What is the fourth biggest value in -0.09, -0.3, y, j?
j
Let s be 271383/(-35028) + (-2 - -9). Let q = s + -1/417. Which is the second biggest value? (a) q (b) -1 (c) -77
b
Let u = -4676 - -4672. What is the biggest value in u, -2, 26.1?
26.1
Let n = -3947.1 - -3946.1. Which is the second biggest value? (a) -2 (b) 0.4 (c) 2/21 (d) 16 (e) n
b
Let m = -471.33 - -471.23. Suppose -5*k + 11 = -3*i, 0*k + 2 = -2*i + 2*k. Suppose -9 = 4*g + i. Which is the third smallest value? (a) g (b) 4 (c) m
b
Let m(p) = -p**2 + 114*p + 1371. Let r be m(-11). What is the third biggest value in -77, -2, 3, -1/9, r?
-2
Let w = 31.2 + -3.8. Let t = 32 - w. Let o = 4.5 - t. What is the third biggest value in 1/5, o, 0?
o
Let v be (-2)/4 - (-1)/(-4). Let n = 0.03 - -1.97. Let o = -1214/3 - -405. Which is the third biggest value? (a) -2/7 (b) o (c) n (d) v
a
Let x be (-1 - 13)/((-3)/6). Let q be (x/12)/(21/6). What is the fourth smallest value in 0.5, q, -2/3, -1/2?
q
Let q(d) = 93*d - 282. Let r be q(3). Let t(y) = -2*y - 9. Let l be t(-7). Suppose 2 = -l*h + 17. What is the second smallest value in h, r, 0.3, -3/2?
-3/2
Let t be 28*11/1232 + 2*17/(-232). What is the third biggest value in 297, -2/7, t, -4?
-2/7
Suppose -74*o = -77*o - 3*c - 24, 3*o + 20 = -2*c. What is the third smallest value in 6, o, -11?
6
Let c be 7 + (3 - (-4790)/9). Let z = 542 - c. Suppose 0*w + 4*w + 20 = 0. What is the biggest value in z, 0.01, w?
0.01
Let x = -0.3 - -0.8. Suppose 5*p + 10 = -6*v, 0 = 4*v - p + 10 - 38. What is the smallest value in x, v, -2/15, -0.4?
-0.4
Suppose -5*d + 3*d + 2 = 0. Let g = 60/409 - 1467/1636. What is the smallest value in 0, d, g?
g
Let f = -3138 - -3137.73. Which is the third biggest value? (a) 2/11 (b) -1/10 (c) 5 (d) 5/8 (e) f
a
Let t be (6/6)/((-1)/3). Let q = -0.7361 - -0.7361. What is the third smallest value in t, 0.72, q?
0.72
Let y = 0.18 + -0.28. Let m = -35/12 + 17/4. What is the smallest value in m, y, 5/11?
y
Let z = 23.739 - -0.361. Let c = z - 23.7. Let s = 1/10 - 4/15. What is the third smallest value in 1.9, c, s?
1.9
Let k = 0.2428 + -5.2428. Which is the smallest value? (a) -1 (b) k (c) -60 (d) 0.5 (e) 2
c
Let o = 316.2 + -318. Which is the second smallest value? (a) -5 (b) 5.3 (c) o
c
Suppose -106 = 518*q - 465*q. What is the second smallest value in -1.24, -0.3, q?
-1.24
Suppose -5*s - 5*g + 40 = 0, 8*s = 6*s + 2*g - 4. Let i = -57.8 + 57.4. Which is the fourth smallest value? (a) s (b) i (c) 2/7 (d) -2/29
a
Let l be 20/(-24)*1/(-5). Let z = 2618 + -44524/17. Let g = -92/119 - z. Which is the third biggest value? (a) l (b) g (c) -24
c
Let z be 3 + (-4)/(-18) + (-4)/18. Let y be ((-93)/(-33) - z)*20/(-40). Which is the third smallest value? (a) y (b) -0.03 (c) 3/4
c
Let t be -3*7*(-11)/1155. What is the biggest value in 12, t, -13?
12
Let t = 206/19 - 3464/323. What is the biggest value in 0, -1/10, t, 14, -4?
14
Suppose -406 = -17*g - 22*g - 55. What is the biggest value in -3/5, g, -1/4, 223?
223
Let n = 3836 - 3835. What is the third biggest value in -0.4, -0.17, n?
-0.4
Let s = 0.0109 - -59.3891. Let h = s - 59.3. Let z = 0.4 + 0.1. Which is the third smallest value? (a) h (b) -50 (c) z
c
Let d = -38 - 11. Let w = 0 + d. Let k = w - -45. Which is the third smallest value? (a) -0.6 (b) -1/8 (c) k
b
Let z = 9449.98 + -9450. What is the third biggest value in z, -5, -0.2?
-5
Let v be (-9718)/(-24) - (-21)/252. Let c = 1217/3 - v. Let k = 4 - 4.08. What is the fourth biggest value in 1, 5, c, k?
k
Let d = 0.1 + -0.4. Let o = d + 0.7. Let g = -27921 + 27923. What is the third biggest value in o, -2/13, g?
-2/13
Suppose -3*c + 5*f = -c - 145, 0 = -5*f + 5. What is the second smallest
|
{
"pile_set_name": "DM Mathematics"
}
|
s the nearest to -0.1? (a) -1/7 (b) -3/2 (c) k
a
Let p = 62557 + -187669/3. Let u = -18 + 17.91. Which is the closest to u? (a) -1/5 (b) -1 (c) p
a
Suppose 4 = 7*q - 8*q. Let s(x) = -x**2 - 8*x. Let n be s(q). Suppose i + n = -2*g, 0*i + 2*i + 7 = g. What is the nearest to 0 in -3/8, i, 3?
-3/8
Let v(w) = -w**2 - 28*w - 113. Let c be v(-5). Let j = 392 + -363.9. Let u = j + -28. What is the closest to c in u, -0.5, 4?
u
Let o = -133/12 + 137/12. What is the closest to -2 in 2, 14, o?
o
Let q = -0.10716 - 27.89284. What is the nearest to q in -1/4, -0.3, 1.8?
-0.3
Let f = -1292 + 1291.9. What is the nearest to f in 2/3, -2/15, -0.5?
-2/15
Let o = 2/175 - 881/525. Let q = 8751 + -8742. Which is the closest to 0.01? (a) o (b) q (c) -4/7
c
Let x = 1.3436 + -1.4436. What is the nearest to 3/4 in 1/2, x, 23, -2/9?
1/2
Let w = -411.4 + 411.2. Which is the nearest to -0.1? (a) 3 (b) 4 (c) -34 (d) w
d
Let w(l) = -2*l + 35. Let r be w(16). Let z be (-3 - 1)/(78/r). Suppose 4*j - 16 = -0*j. Which is the closest to -1? (a) j (b) z (c) 1/4
b
Let s = -8048 + 8049. What is the closest to 6 in -2, s, -0.3, -1/9?
s
Let p = -0.32 - -0.22. Let i = -0.102 + 4.102. What is the nearest to 0.1 in i, p, 0.4?
p
Let j = 1 + 0. Let v(q) = -10*q + 77 - 27 - 51 - 26 - q**2. Let n be v(-5). Which is the nearest to j? (a) -0.2 (b) 0.5 (c) n
b
Let u = 65.56 - 65.46. Let g = 0.17 + -1.07. Which is the closest to u? (a) -2/7 (b) g (c) -1/5
c
Let x = -81/4 + 251/12. Suppose -3*o - 18 = -k + 4*k, -2*k - 4*o - 18 = 0. Let h be 2 + k/(9/11). What is the closest to -1 in h, x, -0.1?
h
Let k be (-8)/(-60) + 2 + 327/(-90). Let i = 25387 + -25386.5. Let w = 0.7 - 0.3. Which is the nearest to w? (a) i (b) 3 (c) k
a
Let w = 49413/19 + -2600. Let s = w - 173/114. Which is the closest to s? (a) 3 (b) -3/5 (c) -2
b
Let h be (-4)/(-48) - (-4)/32*-6. Suppose o + 0 = -4. Let l = -0.055 + 1.055. What is the closest to l in o, h, 0.5?
0.5
Let a be (-4)/6*5/10. Let o be 4/(-21)*(6 - 43/6). What is the closest to 2/7 in a, 8, o?
o
Let g = 0.299 + -0.42. Let z = 0.621 + g. What is the closest to 1/4 in -58, 2, z?
z
Let k = 63334.03 + -63334. Let d = -1.2 - 3.8. Which is the nearest to 1/3? (a) d (b) -2 (c) k
c
Let f = 151/4 - 38. Let m be 0*(19 + -14 - 4). Which is the closest to -3? (a) m (b) -2/13 (c) f (d) -4
d
Let l = -885 - -880. Let p = -109 + 164. Which is the closest to 0? (a) p (b) 0 (c) l
b
Let h = 9/85 - -313/255. Let u = -0.8 + 0.7. Let p = 3 + -3.5. Which is the closest to -1/2? (a) p (b) u (c) h
a
Let r = 153 + -153.95. Let a = r + 0.85. What is the closest to a in 0.4, 3, 0.3?
0.3
Let u = 22/1069 + -2424/13897. Let p = -1 - -2. What is the closest to u in -21/2, -5, p?
p
Let g = -4211.9 + 4212. Which is the closest to g? (a) -5 (b) -0.06 (c) -13
b
Let o = 345.56 - 274.56. Let l = 25.6 + -96.9. Let c = o + l. What is the nearest to -1 in 3, -0.2, c?
c
Let h be 2 + 5/((-5)/(-2)) - 4. Suppose h = -13*i + 5*i + 32. Which is the closest to -1/2? (a) -3 (b) -1 (c) i
b
Let d = -18.38 - -18.08. Let n = 6.94 - 6.7. Which is the closest to 2/7? (a) d (b) n (c) 1/6
b
Let p be (-238)/(-204) - 55/78. Which is the closest to -8? (a) 0.1 (b) p (c) -2/7
c
Let d(s) = s**3 + 3*s**2 - 3*s - 1. Let r be d(-4). Suppose -5*u + 632*v = 625*v - 28, -2*v = u - 26. Which is the nearest to 2/3? (a) -4 (b) r (c) u
a
Suppose -25*q + 1675 - 1675 = 0. Let t = 2 - 1. What is the closest to -0.2 in 0.1, q, t?
q
Let j = 294.9 - 295. Let f = -279 + 282. What is the closest to j in -5.5, -5, f?
f
Let c = -0.492 - 15.008. Let q = 15.5 + c. What is the nearest to 0 in 0.3, q, -0.4?
q
Let w = 44 + 72. Let o = 117.7 - w. What is the closest to -0.2 in -2/19, o, 0.4?
-2/19
Let l = 2/143 - 17/286. Let i = 67/12 - 16/3. Let v = 3910.4 - 3910. Which is the closest to i? (a) 0 (b) v (c) l
b
Let y = 16216 - 16215. Which is the closest to y? (a) 1 (b) 2/7 (c) 0.5 (d) 76
a
Let x be -1*4/(8/10). Let y = 8.9 + -9.4. Which is the closest to x? (a) 0 (b) y (c) -0.3
b
Let s = 94698/19 - 4984. What is the closest to -1 in s, 1/3, -20?
s
Let i(h) = h**3 - 4*h**2 + 11*h - 83. Let a be i(5). Let c = -9 + 8.98. Let p = c - -0.12. What is the nearest to p in 1, 4, a?
1
Let p = 0.1 + -0.2. Suppose -4*n - 30 = -5*v, -v - 1 = -n - 8. Let k be 2 - 4/(-16)*n. Which is the closest to 1? (a) -2 (b) p (c) k
c
Let y = 0.0121 + -1.0121. Which is the closest to 2? (a) -3 (b) 1/3 (c) 3/5 (d) y
c
Let f = -919/7 + 131. Let x be ((-26)/3)/((-2)/(-72)*-3). Let n be x/130*10/(-28). Which is the closest to f? (a) 4 (b) 1/2 (c) n
c
Let w = 3/200 + 191/600. Which is the nearest to 22? (a) -1 (b) -22 (c) w
c
Let g be 86/26 + 552/(-1794). What is the nearest to 0.1 in -5, -1, g, -503?
-1
Let i be (-9)/((-2)/(-6)*-3). Let d be 10/15 - (-6)/i. Let c = 283/3 + -94. What is the closest to c in d, -0.2, -5?
-0.2
Let u be ((-15)/(-4))/3 - 1. Let z = -44107.2 + 44107. Let v = 1 + 2. Which is the nearest to z? (a) v (b) u (c) -5/6
b
Let l = -62057/9 - -6895. Which is the closest to 65? (a) 0.3 (b) l (c) 3
c
Let y = 34673 + -34597. Which is the closest to 0.1? (a) y (b) 0.4 (c) -2 (d) 2
b
Suppose 2*i + o + 2 = -3*o, 0 = -3*i - o + 2. Let s be 64/(-80) - 6/720*-116. Which is the closest to i? (a) -2/9 (b) -1 (c) s (d) -4/5
c
Let q(o) = -6*o**2 - 126*o + 345. Let s be q(-24). Which is the closest to 4? (a) s (b) 2/13 (c) 0.3 (d) -3/2
c
Let w = -8085 + 10274. Which is the closest to -2/5? (a) w (b) 0.3 (c) -2/5
c
Let r be 6/(-8)*44/(-33) - 20/65. Let g(h) = h**3 + 8*h**2 - 10*h - 11. Let d be g(-9). Which is the closest to 1? (a) d (b) -0.1 (c) r
c
Let m = 92.894 + -93. Let a = m - 0.094. What is the nearest to -2/19 in a, -0.03, -4?
-0.03
Let g(n) = -n**3 + 261*n + 80. Let r be g(-16). Which is the nearest to 24? (a) 0.12 (b) r (c) 0.2
c
Let l = -3.4 - -3. Let w be 0/(-1)*1*-1. Let m be ((-42537)/(-1287) - 33) + 400/(-1716). What is the closest to 0.03 in m, w, l?
w
Let s = -7 + 7. Let f = 6.52 - 6.7. Let w = f + 0.58. Which is the closest to s? (a) w (b) 3/2 (c) 3
a
Let f = -1.0977 - -1.2977. Which is the nearest to -7? (a) 18 (b) -1/4 (c) f (d) 3
b
Let k = 3.24434 + -0.24434. What is the nearest to 17 in -9, k, -0.3?
k
Let g = 24/13 - 135/52. Which is the closest to 0? (a) 2 (b) -11 (c) g (d) -4
c
Let k = -3.4 - -3. Let t = -276 + 132. Let j = -146 - t. What is the closest to j in 5, -3, k?
-3
Let m = -0.01178 - -0.31178. Which is the closest to -0.3? (a) m (b) -3 (c) -24/5
a
Let u = -46 - 26. Let x = u - -72.4. Let o = 2.6 + -2.55. Which is the nearest to 0? (a) o (b) 0 (c) x
b
Let a = 40947 - 40944. Let m = -3 + 7. What is the nearest to 0.1 in m, a, 6?
a
Let l = 36 - 25. Let q = 10.96 - l. Suppose 182*r = 153*r. What is the nearest to r in q, -0.1, -5?
q
Let s = 10.354 - -3960.646. What is the nearest to -0.1 in 1, s, -1?
-1
Let v = -77750.2 + 77750. Let k = 5.06 - 0.06. Which is the nearest to -5? (a) 0.2 (b) k (c) v
c
Let r = -2034.3 + 2142. Let f = 108 - r. What is the closest to 8/3 in f, -1, 0.1, -0.4?
f
Let v = -10498 + 10498. Which is the closest to -0.1? (a) 1/2 (b) 1 (c) -1/3 (d) v
d
Let g be ((-1)/7)/(3500/932 + -4). Let r = -17/57 + g. Which is the nearest to -2? (a) 0.5 (b) r (c) -1/5
c
Let f = -10.8 - -11. Let q be (-1)/(-4) + -15*(-9)/108. What is the nearest to 0 in q, 2/3, -0.3, f?
f
Let t(f) = -f**3 + 3*f**2 + 11*f - 3. Let l be t(5). Let w = 58.1 + -58. Which is the nearest to w? (a) 1 (b) 4 (c) l
a
Let p = -23364 - -93451/4. What is the nearest to 0 in -260, 0.2, p?
0.2
Suppose 4*j = 20, -y + 5 = 4*j + 126. Let f = y + 1553/11. Let x = -5769.4 - -5772.4. Which is the closest to -0.03? (a) -4 (b) x (c) f
c
Let n = 2129 + -2134. Which is the nearest to -0.1? (a) -1 (b) 0.13 (c) n (d) 10
b
Suppose 0 = 5*j + 3*p - 5, j - p - 2 = 7. Let m be 0*(20/(-4) + j). Which is the nearest to 0? (a) -15 (b) m (c) -0.3
b
Suppose f - 12 = -3*f. Let a = f + 0. Let m = 3.2 + -2.9. What is the nearest to -1 in m, a, -19?
m
Let a be (141/188)/((-135)/24). What is the nearest to a in -6, -1, 2/5, -2?
2/5
Let g = 115.02 + -115.12. Let k = -0.3 + -0.7. Which is the nearest to k? (a) g (b) 1 (c) -3/5
c
Let q = -490954/11 +
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3
6
What is -93 - (-72 + 71 + 8 + -6 + 2)?
-96
Calculate -5 + 2 + (-17 - (-29 + 29)) + 47.
27
What is the value of 345 + -326 + (-5 - (-2 + 34))?
-18
Evaluate (281 - 306) + (2 - -6) + 1.
-16
Evaluate 7 + 0 - (33 + 48 - 90).
16
Calculate 6 - (12 + (0 - (13 + -4))).
3
Evaluate (-9803 - -9822) + (-74 - -1).
-54
-24 + (41 + -15 - 1) - 16
-15
What is the value of (260 - (89 + 139)) + 0 + 74?
106
Calculate -2 + (2 - (-7 - -5)) + (-164 - -144).
-18
Evaluate (1 + 2 - 1) + -14 + 10 - -48.
46
Calculate -17 - ((-4 + 5 - (-30 + 40)) + -53).
45
Evaluate -71 + -3 - (0 + -1) - (-38371 - -38361).
-63
Calculate -59 + 22 + 20 + 11 + (-1 - 12).
-19
Evaluate -13 - (-4 + -21) - 34 - -10 - -89.
77
Calculate (0 - -134) + (-5 + -24 - (-3 + -4)).
112
Evaluate 12 - ((92 - 20) + -72).
12
What is 4 - (8 + 5 + -3) - 2 - (3 + -53)?
42
2 + -14 - (106 + -134) - (2 + -5)
19
What is 19 + 29 + (-7 - 42) + 39?
38
Evaluate -168 + 57 + 75 - (-1 - 5).
-30
What is 31 + (-3 - (19 - (-17 + 19))) - -15?
26
Calculate 37 - 1 - (-7713 + 7770).
-21
What is the value of -73 + 97 + (0 - 74)?
-50
Calculate 46 + (-107 - -69 - -40).
48
What is -9 + -1 - (-2263 + 2202)?
51
5 - (4 + 3 + -4 + 3) - (-64 - -74)
-11
What is the value of 47 - (-5 + 129 + -81)?
4
What is 40 + -2 + (-144 - 76 - -98)?
-84
Evaluate -159 - (-128 - -115 - (-2 - 1 - -6)).
-143
What is -40 - (-126 + 66) - (60 + -1)?
-39
Evaluate -10 - (-41 + (7 - -3) - (21 + -27)).
15
52 + -4 + 7 + -4978 + 4953
30
Evaluate 23 - (31 - (30 + (-25 - -10))) - -82.
89
What is the value of -34 + (-18 - (5 - (39 + -9)))?
-27
What is -13 + -50 + 5 - -58 - (1 + 0 - 111)?
110
144 + -140 + -1 + -4 + (-3 - -11)
7
55 + 22 + (-65 - -26)
38
What is the value of -15 - ((71 - 271) + 101)?
84
-2 + -8 + 19 + -73 - (-25 + 12)
-51
What is the value of (13 - 11 - 7) + 6 - 1 - -23?
23
(-133 - -36 - 62) + 95
-64
43 + 46 + -140 + 5
-46
What is 85 + -135 + 76 + -27?
-1
What is the value of 192 + -45 + -22 + (-20 - (-6 + -5))?
116
What is the value of 52 - (-6 + (12 - (33 - 22)))?
57
Calculate -2 - (41 - (-1 - (6 - (15 + -19)))).
-54
What is (-22 + 9 - -27) + -1 - 7?
6
Evaluate -120 - (-18 - 30) - 48.
-120
What is (21 - (43 - 18) - 1 - (-10 + 1)) + 50?
54
Calculate 9 - (64 - (-18 + 11 + 10)).
-52
6745 + -6685 + (1 - 103)
-42
88 + -59 + 89 + -47
71
What is the value of 1 - -26 - (26 + 56 - 41)?
-14
Evaluate -24 + -2 + 1 + 28 + -23 + -8 + 4.
-24
Evaluate -139 + 119 + (78 - 9).
49
-143 - (150 + 73 + -308)
-58
Calculate 176 - 188 - (-69 + 8 + 10).
39
What is 114 - (-14 - (-2 + (-23 - -17) + -7))?
113
Calculate 80 - ((-292 - -299) + (0 - 2) + -14).
89
-50 + (28 - 45) + 21
-46
Calculate 5 - (-1 + 1 + 12 + 1) - (0 - 27).
19
-14 + (7 - (94 - 49))
-52
Evaluate -11 - (-57 - 13) - (-26 + 24) - -6.
67
Evaluate -26 + 0 - (-57 - (2 - 1) - -43).
-11
What is the value of (-6 - 16) + 271 + -218?
31
Calculate 4 + 2 + -20 + -150 + 143 + 0.
-21
Evaluate -4 + -22 - (-94 + 87 + -26).
7
(-21 - (-19 + 13 + -9 + 4)) + 45
35
Calculate ((-7 - 2) + (-2 - -6) - -16) + -670 + 677.
18
48 + -26 - (26 + -15 - (0 + 9))
20
What is the value of -25 + 18 + -37 + 39?
-5
Calculate (-1 - (-18 + 14 + -11)) + (8 - 18).
4
What is (16 - (-1 - -2)) + -721 + 715 - 11?
-2
What is 28 - (-12 + (30 - 8) + -1) - (-7 - 1)?
27
0 + 13 + 4 - (67 + -48 - 39)
37
-2 - -2 - -9 - (23 + -25) - (-413 + 351)
73
What is -9 + 18 + -18 + -13 + 4?
-18
-23 + 24 + -6 + 15 + -7
3
What is the value of (-35 - (-5 - 6 - 0)) + 32?
8
Evaluate 93 + (-3 + 14 + -14 + 25 - 14).
101
-35 - (-26 + -17 + -11 + 25)
-6
-21 + (39 - 1) - 38
-21
Evaluate (-1 - 0) + -19 + 202 + -76 + -116.
-10
Calculate -29 - (1 - 2 - 1) - (-93 + 94 + 0).
-28
Calculate (-10 + 0 + 2 + 15 - 7) + (-15 - -43).
28
Evaluate (-105 - -149) + -6 + -1 + 1.
38
Evaluate (2 - (5 + -5 + 4)) + (-44 - (57 - 161)).
58
(-102 - (26 + (28 - 44))) + 2
-110
Evaluate -23 + 19 + -22 + (52 - 21) + -33.
-28
What is (10 + 5 - 5 - (-195 + 200)) + -58?
-53
What is 42 - ((-23 - 0) + 17 + (20 - 1))?
29
What is the value of (20 - 6) + -3 + -20 + (-5 - -14)?
0
What is the value of -14 + -12 + 36 + (-12 - 0) + -31?
-33
What is -96 + 16 - (-6 - -2)?
-76
Calculate 70 + 19 - 44 - (0 + -1 - 3).
49
Evaluate (-155 - -346 - 216) + 33 + 1.
9
What is 126 + -59 + 0 + -136?
-69
What is the value of (10 - (-4 + 5 - (2 + 11 + -12))) + 18?
28
What is 24 - (-20 - (5 - 5))?
44
(38 + -46 - (-3 + 1) - 6) + -5
-17
Calculate 7 - 17 - (-20 + -1) - (11 - 2).
2
(25 - 16) + (0 - 19) - (-6 - 3)
-1
What is -80 - ((7 - (-9 + 18)) + -22 + 10)?
-66
(-17 - 61) + -7 + 2 + 13
-70
What is the value of 86 + -6 + (-15 - 15)?
50
Evaluate (63 - 55) + -35 + 7.
-20
Evaluate 88 - (-90 + 221) - (-3 + -4 - -2).
-38
What is 90 + -3 + 52 + -50 + (-11 - 0) + 13?
91
Evaluate 265 + -265 - ((-2 - -29) + -4 - 1).
-22
Calculate 57 + -35 + 111 + -52.
81
What is (-79 - -120 - (4 + -62)) + (2 + 0 - -6)?
107
-275 + 3 + (-1393 - -1547)
-118
What is the value of -11 + -38 + (17 - (-4 + 11))?
-39
21 + (35 - (72 - 46))
30
What is the value of 0 + -11 + 90 + -85 - (-15 - (61 + -11))?
59
-31 + 14 - -24 - -24 - 129
-98
What is the value of -3 - 10 - 25 - -20?
-18
Calculate 5 + -2 + 8 + -1 + 40 + -11.
39
Calculate 193 + -138 + (-3 - 26).
26
Calculate 18 - 37 - (-13 + -11).
5
What is the value of 3 - 1 - 3 - (-94 + 97) - 13?
-17
Calculate (19 + -23 + 2 - -42) + -9.
31
Evaluate -4790 + 4736 - (-1 - 113).
60
What is -69 + 78 + -11 + -1 + 2 - 41?
-42
Evaluate (12 - -1) + -19 + (-18 - -1).
-23
What is the value of 38 + 0 - (-76 - (109 - 223))?
0
-15 - (-4 - (81 + (-34 - -25))) - -20
81
Calculate 1 + -4 - 45 - 3 - (-2 + (0 - 1)).
-48
What is -17 + 27 + 59 + -62?
7
What is -1964 + 1927 - (-135 + -5 - -4)?
99
Calculate (359 - 316) + (0 + 2 - (4 + 0)).
41
45 + -140 + 46 + 30
-19
-23 + 10 + -7 + (1 - -2 - 82)
-99
Evaluate 0 - 1 - 1 - 8 - (-34 - -21 - 11).
14
What is (-25 - 52 - -63) + 51 + -5?
32
Calculate 17 + (-13 - -12) - (-19 + 31).
4
Calculate 16 + (-47 - (-57 - -67)).
-41
Calculate (11 - 2) + -10 + (8 + -3 - -10) + -7.
7
Evaluate -6 - 0 - ((-4 - -4) + 0 - 6) - -45.
45
Calculate -7 - (1 + -7 - (-27 - -21)) - (125 - 134).
2
Calculate -8 - (49 + -30 + -23).
-4
(-10 - (-7 - 4)) + 7 + (14 - 22)
0
(-1 - -15) + (-41 - (-207 + 147))
33
-38 + (0 - 0) - (972 - 914 - (56 + 3))
-37
Evaluate 33 + -60 + -4 - -72.
41
(3 + -6 - (3 + 2)) + (76 - 46 - 84)
-62
Evaluate 75 - (-35 + 127 + -63).
46
0 + 2 + 9 + 1144 + -1163 - (0 + -72)
64
Evaluate -24 + (12 - 68) + -15 + 37.
-58
Evaluate 101 + -54 - 36 - (88 + -3).
-74
What is the value of (34 - (-31 + -38 + 76)) + -42?
-15
(104 - 44) + -49 - 8
3
(-31 - -16) + 30 + (-1 - 7) + 5 + -102
-90
What is 13 + 1 + 11 + (-45 + 25 - -56) + -9?
52
Evaluate (-63 - -118) + -30 + -2 - 1.
22
-37 + -41 - (-2 + 6 + 7) - -14
-75
Calculate -22 + -81 + 77 + (9 - -3).
-14
Evaluate -4 - -29 - (7 + -4 + 2) - (-133 - -124).
29
What is the value of (-4 - 37) + 7 - -21 - ((-83 - -1) + -1)?
70
7 - (11 + -11 + 11) - (13 + -5)
-12
What is 2 - (11 + -26) - (116 + -4 + 14)?
-109
Evaluate 13 + 9 + 0 + (50 - 110).
-38
What is 42 + (-42 - -23) + (18 - -2)?
43
-91 + 153 + (-18 - 19)
25
What is the value of (1 + 7 - (4 + -3)) + (1 - 9 - -51)?
50
Calculate 88 - 156 - 42 - -114.
4
Calculate 1 + 12 + -98 + 114 + -2 + 21 + 3.
51
Calculate 4 - (-12 + -10 + 18 + 19 - -23).
-34
What is the value of 0 + 0 + -6 - (-4 + (22 - 31 - -49))?
-42
Evaluate (46 - 30 - (-1 + 1)) + (-4 - 54).
-42
What is the value of (25 - ((2 - -23) + -13)) + -5?
8
What is -10 + -67 - (21 + -5 + 22 - 21)?
-94
Calculate 10296 + -10358 + -30 + (-4 - -3).
-93
What is the value of (-51 - (8 + -6)) + ((-6 - 2) + 14 - 9)?
-56
(149 - 142) + 24 + -14 + 14
31
What is the value of (-1606 - -1566) + (0 - -27)?
-13
Calculate (-22 - (21 + 5 + -32)) + -35.
-51
What is the value of -72 - (-9 - (106 + -73))?
-30
What is -97 + (32 - -14) + 9?
-42
Calculate (-2 - (-13 + 12) - (-23 + 8)) + -45.
-31
Calculate -16 + -34 + 52 + -1.
1
Evaluate 344 - 374 - (-9 - (-4 + 7 + -32)).
-50
Evaluate 4 + (-3 - 0) - 0 - ((130 - 39) + -190).
100
What is the value of 0 + 143 - (-18963 + 19025)?
81
What is -37 - ((-78 - 1) + 108)?
-66
Evaluate -14 - -14 - (1 + -9 + -12 + 4).
16
What is -1638 + 1614 + (0 - -15)?
-9
Evaluate (-15 - 7) + 22 + 34 + -17 + 137.
154
Calculate 45 + (609 - 578 - (-2 + 14)).
64
What is the value of -108 - (-1 - 153) -
|
{
"pile_set_name": "DM Mathematics"
}
|
-1973084, -2959603, -3946106, -4932593?
-5919064
What is next in -4163, -7507, -10853, -14201, -17551, -20903, -24257?
-27613
What is next in 8203761, 8203766, 8203771, 8203776, 8203781?
8203786
What comes next: -1608981, -3217751, -4826521, -6435291, -8044061?
-9652831
What is next in -1204400, -2408796, -3613198, -4817606, -6022020?
-7226440
What is the next term in -4577, -31915, -106121, -250631, -488881, -844307, -1340345, -2000431?
-2848001
What comes next: 5075537, 10151110, 15226683?
20302256
What is the next term in 274203, 1096806, 2467811, 4387218, 6855027, 9871238?
13435851
What comes next: 2481, 1813, 649, -1053, -3335, -6239, -9807, -14081?
-19103
What is next in -15062252, -30124503, -45186754?
-60249005
What is next in -62953, -62950, -62947?
-62944
What is next in 16681, 42843, 113851, 252127, 480093, 820171, 1294783?
1926351
What is the next term in 1969, 5403, 14787, 33097, 63309, 108399, 171343?
255117
What is the next term in 4538340, 4538347, 4538358, 4538373, 4538392, 4538415, 4538442?
4538473
What comes next: -2435, -19682, -66557, -157874, -308447?
-533090
What is next in 75751, 75665, 75581, 75499, 75419, 75341?
75265
What is next in 102384, 202640, 302898, 403158, 503420?
603684
What is next in 66780, 66798, 66816?
66834
What is next in -90, -774, -2018, -3822, -6186?
-9110
What comes next: -43245200, -43245196, -43245190, -43245182, -43245172, -43245160, -43245146?
-43245130
What is next in 5598, 9508, 13418, 17328?
21238
What is next in -5787, -5448, -5109, -4770?
-4431
What is next in -2065287, -2065304, -2065335, -2065380, -2065439, -2065512?
-2065599
What comes next: -2984282, -2984259, -2984236, -2984213, -2984190?
-2984167
What is next in 30497, 122108, 274793, 488552, 763385?
1099292
What comes next: -5677, -9552, -16009, -25048?
-36669
What comes next: -15224, -56329, -124828, -220721?
-344008
What is next in 3261, 6084, 8913, 11748, 14589?
17436
What is the next term in 41360445, 82720892, 124081339, 165441786, 206802233, 248162680?
289523127
What comes next: 588286, 1176564, 1764832, 2353090, 2941338, 3529576?
4117804
What is the next term in -23351, -23102, -22853, -22604?
-22355
What is next in 7872, 21730, 44832, 77178?
118768
What comes next: -37694357, -150777412, -339249159, -603109592, -942358705?
-1356996492
What comes next: -62273, -124465, -186657, -248849, -311041, -373233?
-435425
What is next in -3086, -12228, -27418, -48662, -75966, -109336, -148778, -194298?
-245902
What is next in 24037, 23250, 21939, 20104, 17745, 14862?
11455
What is the next term in -2364, -11215, -26562, -48405, -76744?
-111579
What comes next: -1734992, -3469983, -5204974, -6939965, -8674956, -10409947?
-12144938
What is the next term in -13164, -50419, -112522, -199479, -311296, -447979?
-609534
What comes next: 118, 221, 500, 1039, 1922, 3233?
5056
What comes next: 168266, 168256, 168246?
168236
What comes next: -3278257, -6556472, -9834687, -13112902, -16391117, -19669332?
-22947547
What comes next: 12950, 51937, 116918, 207893, 324862, 467825?
636782
What comes next: -15275, -14941, -14385, -13607?
-12607
What is next in 82296, 82373, 82452, 82533?
82616
What is the next term in -643609, -1286942, -1930005, -2572798, -3215321, -3857574?
-4499557
What is the next term in -2568741, -5137502, -7706263, -10275024, -12843785?
-15412546
What is next in -3682, -14861, -33500, -59599, -93158?
-134177
What comes next: 14409, 11784, 7409, 1284?
-6591
What is the next term in -14934128, -14934122, -14934114, -14934104, -14934092?
-14934078
What comes next: -3301, -13692, -31561, -57358, -91533, -134536, -186817?
-248826
What is next in -1749301, -3498612, -5247923, -6997234, -8746545?
-10495856
What comes next: -96955, -96705, -96299, -95737, -95019?
-94145
What is next in -1342927, -5371699, -12086317, -21486781, -33573091, -48345247?
-65803249
What comes next: -474076, -1896317, -4266754, -7585417, -11852336, -17067541, -23231062, -30342929?
-38403172
What is next in -10809, -13463, -16115, -18765, -21413?
-24059
What is next in 8480, 16978, 25476, 33974, 42472, 50970?
59468
What comes next: -45695, -182939, -411681, -731921?
-1143659
What is next in -60, -265, -614, -1119, -1792, -2645?
-3690
What is the next term in 20913041, 20913035, 20913029, 20913023?
20913017
What comes next: 3092482, 6184952, 9277418, 12369880?
15462338
What is next in 8932, 35759, 80506, 143197, 223856?
322507
What comes next: 576927, 576928, 576929, 576930, 576931?
576932
What is the next term in 21690, 22169, 22648?
23127
What is next in -1482342, -1482421, -1482500, -1482579?
-1482658
What is next in -292447, -292307, -292071, -291739, -291311, -290787?
-290167
What is next in 4821924, 9643862, 14465800, 19287738, 24109676?
28931614
What is the next term in 7868254, 7868155, 7868054, 7867951, 7867846, 7867739, 7867630?
7867519
What comes next: -30309, -30356, -30501, -30798, -31301, -32064?
-33141
What is next in 32596, 32805, 33016, 33229?
33444
What is the next term in -433, 1690, 5183, 10046, 16279, 23882, 32855?
43198
What comes next: 226845, 226807, 226749, 226671?
226573
What is the next term in -27, 153, 749, 1971, 4029?
7133
What comes next: 21186, 170091, 574414, 1361865, 2660154, 4596991?
7300086
What comes next: 1816616, 1816628, 1816642, 1816658, 1816676, 1816696, 1816718?
1816742
What comes next: -761465, -761153, -760841, -760529, -760217?
-759905
What is the next term in 47909, 47252, 46149, 44594, 42581, 40104?
37157
What is next in 97299, 97321, 97339, 97353, 97363?
97369
What comes next: 5895160, 11790133, 17685118, 23580121, 29475148, 35370205, 41265298?
47160433
What is the next term in 1247788, 9982377, 33690556, 79859119, 155974860?
269524573
What is next in -18311, -73497, -165559, -294497, -460311, -663001, -902567?
-1179009
What is next in 28130, 56340, 84546, 112748, 140946, 169140, 197330?
225516
What is the next term in 3344092, 3344071, 3344050, 3344029, 3344008, 3343987?
3343966
What comes next: 2945105, 11780432, 26505977, 47121740, 73627721, 106023920, 144310337?
188486972
What is the next term in 11097, 45540, 102945, 183312?
286641
What comes next: -20041, -54975, -104805, -169531, -249153?
-343671
What is next in 26142544, 52285089, 78427634, 104570179, 130712724, 156855269?
182997814
What is the next term in -117987, -473326, -1065565, -1894710, -2960767?
-4263742
What is next in 1097890357, 1097890356, 1097890355, 1097890354, 1097890353?
1097890352
What is the next term in 19871, 20197, 20559, 20975, 21463, 22041, 22727, 23539?
24495
What is next in 23274, 186402, 629238, 1491636, 2913450, 5034534, 7994742, 11933928?
16991946
What comes next: -392062, -392060, -392058?
-392056
What comes next: 88814019, 177628053, 266442087?
355256121
What is the next term in 921, 3841, 8711, 15531, 24301, 35021, 47691?
62311
What is next in -440, -3539, -11940, -28295, -55256, -95475, -151604, -226295?
-322200
What is the next term in 36864, 73714, 110548, 147360, 184144, 220894?
257604
What is next in -207, 1296, 3827, 7392, 11997, 17648, 24351, 32112?
40937
What is next in -418, -389, -336, -259?
-158
What comes next: -1212, -2476, -3860, -5364, -6988, -8732, -10596?
-12580
What comes next: 3054, 2931, 2734, 2463?
2118
What is the next term in -3973, -8133, -12315, -16519, -20745?
-24993
What comes next: -25865, -51725, -77609, -103529, -129497?
-155525
What comes next: -11043, -22041, -32983, -43869, -54699, -65473?
-76191
What is the next term in -336212, -672418, -1008638, -1344878, -1681144, -2017442, -2353778?
-2690158
What is the next term in -7011, -14144, -21361, -28656, -36023, -43456, -50949, -58496?
-66091
What comes next: -40152227, -40152226, -40152225, -40152224, -40152223?
-40152222
What is next in 27530, 55841, 84152?
112463
What is next in -731893, -731848, -731803, -731758?
-731713
What is the next term in 5631, 9819, 14007?
18195
What is next in 1355, 4856, 10523, 18350, 28331?
40460
What is the next term in -1048302699, -1048302700, -1048302701?
-1048302702
What comes next: 71833497, 71833498, 71833499, 71833500, 71833501, 71833502?
71833503
What is the next term in -481, -1076, -1951, -3250, -5117, -7696?
-11131
What is next in -2779, -12233, -28055, -50245, -78803?
-113729
What is the next term i
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{
"pile_set_name": "DM Mathematics"
}
|
55 is divided by 816?
7
What is the remainder when 336 is divided by 249?
87
Calculate the remainder when 194 is divided by 14.
12
What is the remainder when 5308 is divided by 4?
0
Calculate the remainder when 5026 is divided by 88.
10
What is the remainder when 734 is divided by 18?
14
Calculate the remainder when 97 is divided by 17.
12
What is the remainder when 1858 is divided by 31?
29
What is the remainder when 74 is divided by 26?
22
Calculate the remainder when 421 is divided by 50.
21
Calculate the remainder when 232 is divided by 194.
38
Calculate the remainder when 1509 is divided by 102.
81
Calculate the remainder when 15599 is divided by 24.
23
Calculate the remainder when 542 is divided by 46.
36
Calculate the remainder when 225 is divided by 63.
36
What is the remainder when 37 is divided by 15?
7
What is the remainder when 775 is divided by 12?
7
What is the remainder when 166 is divided by 8?
6
Calculate the remainder when 745 is divided by 380.
365
What is the remainder when 620 is divided by 117?
35
Calculate the remainder when 4584 is divided by 5.
4
What is the remainder when 43 is divided by 23?
20
Calculate the remainder when 903 is divided by 226.
225
What is the remainder when 4593 is divided by 143?
17
What is the remainder when 212 is divided by 17?
8
Calculate the remainder when 32 is divided by 14.
4
Calculate the remainder when 86 is divided by 28.
2
What is the remainder when 478 is divided by 31?
13
Calculate the remainder when 507 is divided by 216.
75
Calculate the remainder when 184 is divided by 55.
19
What is the remainder when 448 is divided by 18?
16
Calculate the remainder when 200 is divided by 93.
14
What is the remainder when 472 is divided by 51?
13
What is the remainder when 336 is divided by 85?
81
What is the remainder when 2198 is divided by 29?
23
What is the remainder when 34797 is divided by 200?
197
What is the remainder when 527 is divided by 520?
7
Calculate the remainder when 4784 is divided by 42.
38
What is the remainder when 206 is divided by 177?
29
Calculate the remainder when 411 is divided by 70.
61
What is the remainder when 3002 is divided by 23?
12
Calculate the remainder when 227 is divided by 72.
11
What is the remainder when 401 is divided by 154?
93
What is the remainder when 1116 is divided by 32?
28
Calculate the remainder when 160 is divided by 23.
22
Calculate the remainder when 4479 is divided by 54.
51
Calculate the remainder when 319 is divided by 32.
31
What is the remainder when 252 is divided by 85?
82
Calculate the remainder when 662 is divided by 334.
328
Calculate the remainder when 136 is divided by 23.
21
Calculate the remainder when 346 is divided by 341.
5
What is the remainder when 180 is divided by 65?
50
Calculate the remainder when 412 is divided by 61.
46
What is the remainder when 1614 is divided by 8?
6
What is the remainder when 2392 is divided by 171?
169
Calculate the remainder when 78 is divided by 10.
8
Calculate the remainder when 200 is divided by 94.
12
What is the remainder when 489 is divided by 12?
9
Calculate the remainder when 69 is divided by 48.
21
What is the remainder when 262 is divided by 44?
42
What is the remainder when 5354 is divided by 18?
8
Calculate the remainder when 237 is divided by 38.
9
What is the remainder when 878 is divided by 7?
3
Calculate the remainder when 31 is divided by 21.
10
Calculate the remainder when 1700 is divided by 443.
371
Calculate the remainder when 574 is divided by 72.
70
Calculate the remainder when 76 is divided by 42.
34
Calculate the remainder when 440 is divided by 148.
144
What is the remainder when 9283 is divided by 43?
38
What is the remainder when 110 is divided by 17?
8
Calculate the remainder when 1716 is divided by 571.
3
What is the remainder when 2720 is divided by 29?
23
What is the remainder when 128 is divided by 90?
38
What is the remainder when 847 is divided by 142?
137
Calculate the remainder when 805 is divided by 8.
5
What is the remainder when 1046 is divided by 3?
2
Calculate the remainder when 3629 is divided by 79.
74
Calculate the remainder when 127 is divided by 16.
15
What is the remainder when 137 is divided by 25?
12
What is the remainder when 283 is divided by 17?
11
Calculate the remainder when 94 is divided by 29.
7
Calculate the remainder when 35678 is divided by 160.
158
What is the remainder when 60 is divided by 25?
10
What is the remainder when 159 is divided by 40?
39
Calculate the remainder when 7558 is divided by 15.
13
Calculate the remainder when 45 is divided by 15.
0
Calculate the remainder when 4605 is divided by 47.
46
Calculate the remainder when 807 is divided by 275.
257
What is the remainder when 1478 is divided by 699?
80
What is the remainder when 1781 is divided by 27?
26
Calculate the remainder when 2426 is divided by 110.
6
Calculate the remainder when 15623 is divided by 30.
23
What is the remainder when 30 is divided by 25?
5
Calculate the remainder when 440 is divided by 37.
33
Calculate the remainder when 764 is divided by 59.
56
What is the remainder when 336 is divided by 69?
60
What is the remainder when 89 is divided by 30?
29
Calculate the remainder when 130 is divided by 37.
19
Calculate the remainder when 1215 is divided by 16.
15
Calculate the remainder when 70 is divided by 22.
4
Calculate the remainder when 312 is divided by 15.
12
Calculate the remainder when 3925 is divided by 21.
19
Calculate the remainder when 49 is divided by 10.
9
What is the remainder when 4533 is divided by 284?
273
Calculate the remainder when 378 is divided by 170.
38
Calculate the remainder when 294 is divided by 196.
98
What is the remainder when 261 is divided by 70?
51
What is the remainder when 2125 is divided by 38?
35
Calculate the remainder when 10761 is divided by 117.
114
Calculate the remainder when 1726 is divided by 160.
126
What is the remainder when 8 is divided by 5?
3
What is the remainder when 1829 is divided by 47?
43
Calculate the remainder when 447 is divided by 82.
37
Calculate the remainder when 144 is divided by 101.
43
What is the remainder when 781 is divided by 59?
14
What is the remainder when 49922 is divided by 129?
128
What is the remainder when 60 is divided by 5?
0
Calculate the remainder when 317 is divided by 64.
61
Calculate the remainder when 91 is divided by 14.
7
Calculate the remainder when 101 is divided by 26.
23
Calculate the remainder when 10 is divided by 3.
1
Calculate the remainder when 2066 is divided by 90.
86
What is the remainder when 415 is divided by 13?
12
Calculate the remainder when 427 is divided by 65.
37
What is the remainder when 574 is divided by 97?
89
Calculate the remainder when 391 is divided by 14.
13
Calculate the remainder when 360 is divided by 19.
18
What is the remainder when 1111 is divided by 1091?
20
Calculate the remainder when 116 is divided by 15.
11
Calculate the remainder when 62 is divided by 13.
10
Calculate the remainder when 100 is divided by 53.
47
Calculate the remainder when 868 is divided by 505.
363
Calculate the remainder when 705 is divided by 26.
3
What is the remainder when 890 is divided by 20?
10
Calculate the remainder when 792 is divided by 37.
15
Calculate the remainder when 66 is divided by 40.
26
Calculate the remainder when 6332 is divided by 35.
32
Calculate the remainder when 2772 is divided by 75.
72
What is the remainder when 121 is divided by 18?
13
Calculate the remainder when 361 is divided by 349.
12
Calculate the remainder when 76 is divided by 41.
35
What is the remainder when 635 is divided by 227?
181
What is the remainder when 3029 is divided by 602?
19
What is the remainder when 79 is divided by 31?
17
What is the remainder when 429 is divided by 72?
69
Calculate the remainder when 171 is divided by 39.
15
What is the remainder when 2805 is divided by 8?
5
Calculate the remainder when 1920 is divided by 51.
33
Calculate the remainder when 327 is divided by 85.
72
What is the remainder when 99 is divided by 5?
4
What is the remainder when 547 is divided by 262?
23
What is the remainder when 2705 is divided by 66?
65
What is the remainder when 407 is divided by 321?
86
Calculate the remainder when 1867 is divided by 22.
19
What is th
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{
"pile_set_name": "DM Mathematics"
}
|
k - 13, -5*k = a - 2*k + 15. Let b = a + 2. Let t(s) = -5. Determine b*t(j) + 2*i(j).
2*j + 3
Let o(q) = -309*q**3 - 4*q**2 + 2*q - 2. Let s(w) = -2*w**2 + w - 1. Calculate -o(y) + 2*s(y).
309*y**3
Let t(y) = -4*y**2 + 7*y - 1. Let i(n) = n**2 - n. Let x = 58 - 63. Give x*i(q) - t(q).
-q**2 - 2*q + 1
Suppose 5*p - 150 = -5*m, 0*p - 3*p = -3*m + 84. Let a = m - 40. Let u(k) = 5*k**2 + 4*k + 4. Let i(b) = 14*b**2 + 11*b + 11. Give a*u(g) + 4*i(g).
g**2
Suppose -5*t - 49 = -0*t + 2*n, n + 41 = -4*t. Let r(u) = -7*u - 12. Let d(x) = 13*x + 23. Determine t*r(g) - 6*d(g).
-g - 6
Suppose -39*i - 15 = -42*i. Let j(t) = t - 1. Let a(p) = 6*p - 6. Calculate i*j(d) - a(d).
-d + 1
Let x(m) = -m + 4. Let j be x(6). Suppose -w + r - 4 = 3*w, w + 1 = -4*r. Let a(d) = 1. Let y(n) = 2*n - 6*n + 6*n + 0*n. Give j*a(k) + w*y(k).
-2*k - 2
Let y(g) = 17*g**3 + g**2 + 6*g + 6. Let q(d) = -36*d**3 - d**2 - 11*d - 11. Calculate 6*q(o) + 11*y(o).
-29*o**3 + 5*o**2
Let z(r) = -r**2 - 7*r - 12. Let c(p) = 3*p**2 + 20*p + 35. What is 6*c(n) + 17*z(n)?
n**2 + n + 6
Suppose -12 = 4*i + 8. Let j = 2 + i. Let x(y) = 3. Let g(b) = -5*b - 13. Let c(f) = -9*f - 23. Let u(w) = -4*c(w) + 7*g(w). Calculate j*u(s) + x(s).
-3*s
Let m(b) = -5*b + 8. Let p be ((-3)/(-2))/((-75)/(-50)). Let k(h) = h - 1. Give p*m(o) + 3*k(o).
-2*o + 5
Let v(a) = -7*a**3 - 5*a**2 + 5*a. Let n = -2 - -8. Suppose -5*g + 12 = 2. Let x(m) = 8*m**2 - 6*m + 5*m**3 - g*m**2 + 3*m**3. Calculate n*v(h) + 5*x(h).
-2*h**3
Let t(o) = -o - 43. Let r(s) = -6*s. Calculate -r(m) - t(m).
7*m + 43
Let l(d) = 2*d**2 - 87*d. Let i(o) = -o**2 + 44*o. What is -11*i(n) - 6*l(n)?
-n**2 + 38*n
Let s(b) = 8*b + 19. Let w(l) = -22*l - 54. Let q(o) = -17*s(o) - 6*w(o). Let p(r) = -8*r + 2. Calculate -3*p(k) + 7*q(k).
-4*k + 1
Let j(c) = -c + 1. Let z(a) = a**2 - a - 2. Let r be z(3). Let b be (-4 + 2)*(1 + (-15)/6). Let x(w) = -b*w + 4*w - w - w**2 - 4*w + 4. Give r*j(k) - x(k).
k**2
Let j(c) = 14*c + 9. Let a(v) = -5*v - 3. Let t(d) = 7*d**2 + 114*d + 29. Let m be t(-16). Calculate m*j(o) - 8*a(o).
-2*o - 3
Let i(j) = -3*j**2 - 5*j + 7. Let g(d) = d**2 + d - 1. Calculate 6*g(h) + i(h).
3*h**2 + h + 1
Let h(q) = q + 1. Let m be h(-5). Let i(g) = -5*g - 11. Let n(b) be the second derivative of -5*b - 5/2*b**2 + 0 - 1/3*b**3. Calculate m*i(r) + 9*n(r).
2*r - 1
Let z(q) = -q + 119. Let l(f) = -f + 2. Calculate -l(n) - z(n).
2*n - 121
Let v be (-6 + 8 + -1)*1. Let o(q) = 4*q + 8. Let z(i) = i + 1. What is v*o(l) - 6*z(l)?
-2*l + 2
Let b(g) = -g**3 - 2*g**2 - 3*g + 1. Let r(h) be the second derivative of h**5/20 - h**4/12 - h**3/6 + h**2/2 - 39*h. Calculate -b(p) + r(p).
2*p**3 + p**2 + 2*p
Let d(s) = -s**3 + s**2 - 1. Let b(j) = 8*j**3 - 5*j**2 + 5. Suppose 4*w - r - 57 = 18, 0 = 3*w - r - 55. Calculate w*d(l) + 4*b(l).
12*l**3
Let d(u) be the second derivative of u**4/6 - u**3/6 + 2*u**2 + 2*u. Let a = 28 + -26. Let i(v) = 8*v**2 - 5*v + 17. Give a*i(t) - 9*d(t).
-2*t**2 - t - 2
Let a(m) = 5*m**2 + 7*m - 7. Let t(g) = g + 7. Let b be t(-4). Let n(y) = b*y**2 - 2*y**2 + 3*y - 3 + y**2. Let w = -875 - -882. Calculate w*n(u) - 3*a(u).
-u**2
Let f(h) = 17*h**2 + 4*h + 4. Let i(x) = 18*x**2 + 5*x + 5. Let y = -1144 - -1148. Calculate y*i(u) - 5*f(u).
-13*u**2
Let n(c) = -5*c + 1. Suppose a - 5*a = -36. Let v(x) = 1 + 5 - 5*x - 3 - a*x. What is 8*n(r) - 3*v(r)?
2*r - 1
Let y(v) = -3*v**2 - 14*v + 1. Let r(n) = -n**2 - 1. Let i(p) = 2*r(p) - y(p). Let a be i(-11). Let f(u) = -6*u + 36. Let w(k) = k - 5. What is a*w(t) - 5*f(t)?
-6*t
Let g(c) = -5*c**2 + 12*c - 19. Let u(z) = -9*z**2 + 22*z - 36. Give 11*g(j) - 6*u(j).
-j**2 + 7
Let x = -1433 + 1436. Let t(c) = 3*c**3 + 5*c - 3. Let o(n) = -6*n**3 - 10*n + 5. Give x*o(y) + 5*t(y).
-3*y**3 - 5*y
Let w(f) be the third derivative of -3*f**4/8 + 2*f**3 + 5*f**2 + 17*f. Let m(r) = -r + 1. Calculate -36*m(z) + 3*w(z).
9*z
Let d(b) = -5*b**2 - 5*b. Let p be ((-33)/6)/11*2*-2. Let s(y) = 5*y - y**p + 0*y - y + 5*y**2. Give -3*d(f) - 4*s(f).
-f**2 - f
Suppose 27*j - 1188 = 5*j. Suppose -15*t - 3*t + j = 0. Let p(a) = -3*a**2 + 6*a - 4. Let w(q) = 0*q**2 + 0 - 3 + 5*q - 2*q**2. Give t*p(o) - 4*w(o).
-o**2 - 2*o
Let q(j) = -3609*j**2 + 108. Let o(x) = -328*x**2 + 10. Give 54*o(h) - 5*q(h).
333*h**2
Let b(i) = 6*i - 10. Suppose 2*y - 6 = 2*a, -24*y = a - 23*y - 1. Let p(v) = v - 1. Calculate a*b(h) + 4*p(h).
-2*h + 6
Let m(y) = -18 + 18 - 19 - 2*y + 18. Let p(u) = -4*u - 2. Suppose 2*k - 5*x = -39, -6*k = -3*k - 3*x + 36. Determine k*m(a) + 4*p(a).
-2*a - 1
Let k(p) = 367*p**2 - 25*p - 8. Let m(t) = 122*t**2 - 9*t - 3. What is 4*k(o) - 11*m(o)?
126*o**2 - o + 1
Let q(h) = -7*h**2 + 3*h - 18. Let b(j) = -20*j**2 + 8*j - 52. What is -3*b(w) + 8*q(w)?
4*w**2 + 12
Let x(g) = -11*g - 17. Let l = -13 - -19. Let u(z) = 5*z + 8. Give l*x(f) + 13*u(f).
-f + 2
Let d(v) = 3*v**2 - 4*v + 4. Let q(y) = 7*y**2 - 9*y + 9. Suppose 3*u = -12 - 15. Let b(h) = 4*h**2 + 5*h - 2. Let x be b(-2). Calculate u*d(f) + x*q(f).
f**2
Let y(l) = 14*l**2 - l. Let q(g) = -15*g**2 + g. Determine 6*q(a) + 7*y(a).
8*a**2 - a
Suppose 0 = -5*a + 15, -4*x - 9 = -3*a + 8*a. Let j be 5*(-9)/(225/65). Let o(i) = 7*i**2 - 4*i + 2. Let d(g) = -15*g**2 + 9*g - 4. What is j*o(r) + x*d(r)?
-r**2 - 2*r - 2
Let y(x) = 18*x**3 - 6*x**2 - 9*x + 120. Let k(q) = -10*q**3 + 3*q**2 + 5*q - 61. Give -7*k(l) - 4*y(l).
-2*l**3 + 3*l**2 + l - 53
Let f(n) = -2247*n**2 - 5 - 5*n - 4 - 2 + 26*n + 2249*n**2. Let y(j) = -j**2 - 10*j + 5. Let a(s) = s - 7. Let h be a(-6). Give h*y(x) - 6*f(x).
x**2 + 4*x + 1
Let y(t) = t + 0 + 2 + 5 - 5*t. Let b(j) = -3*j + 6. Give 5*b(u) - 4*y(u).
u + 2
Let f(j) = -5*j**2. Let n = 671 + -678. Let v(u) = 4*u**2. What is n*v(w) - 6*f(w)?
2*w**2
Let y(z) = -4*z - 4*z**2 + 7*z + 3 - 5*z - z**3. Let r(o) = 5 - 5*o**2 - 10*o + 4*o - 2*o**2 + 2*o - 2*o**3 + 0*o. Determine -3*r(j) + 5*y(j).
j**3 + j**2 + 2*j
Let t(i) = 4*i**3 - i**2 - 5*i - 6. Let d(y) = -9*y**3 + 0*y + 5*y + 2*y**2 + 13 + 11*y - 5*y. Suppose -71*v + 19*v = 676. Calculate v*t(j) - 6*d(j).
2*j**3 + j**2 - j
Let g(p) = -p**3 + 1. Let z(v) = -7*v**3 - 6*v**2 + v + 16. Calculate 5*g(d) - z(d).
2*d**3 + 6*d**2 - d - 11
Let r(u) = -4*u - 3. Let a be r(-3). Let f(q) = -6 + a + 6*q + 5. Let l = 209 + -201. Let j(p) = -2*p - 3. Determine l*j(k) + 3*f(k).
2*k
Let i(d) = -2*d + 1. Let l(r) = -r. Let z be -22 - (0/4)/(0 + -1). Let m = z - -19. Calculate m*l(v) + 2*i(v).
-v + 2
Let l(t) = t**2. Let o(r) = 2*r**2. Let p = -68 + 29. Let k = p + 36. What is k*o(s) + 4*l(s)?
-2*s**2
Let n(t) = 11 - 4*t - t + t - 4*t + 0*t. Let d(l) = 3*l - 4. Let x = 13 + -30. Give x*d(b) - 6*n(b).
-3*b + 2
Let b(x) = 8*x + 2. Let d(g) = -4*g + 11*g - g + 5 + 11*g. Give -5*b(i) + 2*d(i).
-6*i
Let p(v) = -25*v**2 + 9*v. Let m(f) = 12402*f**2 + f - 2*f + 2*f - 12389*f**2 - 5*f. Calculate -9*m(k) - 4*p(k).
-17*k**2
Let a(y) = 10*y**3 - 19*y. Let l(i) = 20*i**3 - 38*i. What is -5*a(t) + 2*l(t)?
-10*t**3 + 19*t
Let u(a) = -99. Let h(t) = 35. Let k(i) = 17*h(i) + 6*u(i). Let b(s) = 3*s. Determine b(g) - 2*k(g).
3*g - 2
Let f(s) = 28*s - 12. Let h(d) = -30*d + 10. Give 5*f(r) + 6*h(r).
-40*r
Let c(h) = 9*h**2 - 5*h. Let k(j) = -14*j**2 + 7*j. Suppose -52 = -9*a - 115. Calculate a*c(v) - 5*k(v).
7*v**2
Let a(h) = -27*h**2 - 63*h - 33. Let f(v) = 11*v**2 + 25*v + 14. Give 5*a(u) + 12*f(u).
-3*u**2 - 15*u + 3
Let z(q) = -3. Let t(w) = -9 + w - 12 + 29 - 2*w. Let l be ((-6)/6)/(2/(-6)). Let k = 29 - 21. Determine k*z(i) + l*t(i).
-3*i
Let m(t) = -42*t**2 + 26. Let k(g) = 21*g**2 - 14. Let v(f) = 5*k(f) + 3*m(f). Let d(z) = -7*z**2 + 3. Determine -8*d(y) + 3*v(y).
-7*y**2
Let o(m) = 20*m. Let w(p) = -1. Give -o(h) - 10*w(h).
-20*h + 10
Let z(v) = -7*v + 7. Let k(q) = 3*q - 3. Let b(g) = -2*k(g) - z(g). Let c(n) = n + 1. Determine -2*b(u) - c(u).
-3*u + 1
Let u(y) = 4. Let h be -1 + (-30)/(-6) - 0. Suppose h*b - 8*b = -w + 2, 45 = 3*w + b. Let r(k) = k - 9. Calculate w*u(d) + 6*r(d).
6*d + 2
Let k(w) = w**3 - w**2 - w - 4. Suppose -89 - 123 = 53*b. Let s(j) = j**2 + 1. What is b*s(y) - k(y)?
-y**3 - 3*y**2 + y
Suppose -45*t - 7 + 52 = 0. Let r(d) = -4*d + 3. Let a be r(2). Let z(i) = -i**3 + i**2 - i + 1. Let f(m) = -4*m**3 + 5*m**2 - 3*m + 5. Give a*z(j) + t*f(j).
j**3 + 2*j
Let g(s) = -1. Let r(d) = -d**2 - d -
|
{
"pile_set_name": "DM Mathematics"
}
|
z(3)?
-7
Let c(g) = -g**2 + 3*g - 1. Let x = 71 - 69. Calculate c(x).
1
Let h be (0 - -3) + -1 + 1. Let s(p) = p - 5. Let n(b) = -10*b + 26. Let l(x) = -n(x) - 5*s(x). Calculate l(h).
14
Let c(l) be the third derivative of l**6/360 + l**5/40 - l**4/12 - l**3/6 + l**2. Let j(g) be the first derivative of c(g). Calculate j(-5).
8
Let i = 46 + -40. Let s(a) = -a**2 + 6*a - 9. Determine s(i).
-9
Let x(p) be the third derivative of p**6/24 + p**4/24 + 12*p**2. Determine x(1).
6
Suppose a + 8 = -a. Let j(q) = -3*q**2 - 2*q + 1. Let p(c) = 2*c**2 + c. Let y(z) = 3*j(z) + 4*p(z). Calculate y(a).
-5
Let w be 4/8 + 11/(-2). Let c be (-3)/5 - (-2)/w. Let l(k) = -k - 1. Give l(c).
0
Let n(m) = m**3 + m**2 - m - 1. Let s(g) = -4*g**3 - g**2 + 2*g - 1. Let y(t) = -5*n(t) - s(t). Suppose 5*o = -4*p - 36, 3*o = 2*o - 2*p - 12. Calculate y(o).
-6
Suppose 0 = -2*b - 7 + 21. Suppose 106 = 5*i - 3*t, 0*t = t + 2. Suppose 5*j - i = 0, -4*j + b = 3*d - 3*j. Let f(y) = y. Determine f(d).
1
Suppose w = -2*w + 15. Suppose -w*m + 28 = 3. Let u(q) = -7*q + 4. Let s(l) = -6*l + 3. Let v(f) = m*u(f) - 6*s(f). Determine v(-2).
0
Let t be 15/6 - (-2)/4. Suppose -3*n = -3 - t. Let z(k) = 2*k**2 - 3*k**2 + 9*k**n. What is z(1)?
8
Let i(c) = 13*c - 1. Let t(z) = -z**3 + 15*z**2 - z + 16. Let d be t(15). Calculate i(d).
12
Let m(b) = b - 1. Let x be 9/6*(-128)/24. Calculate m(x).
-9
Suppose 0 = 3*r - 4*r - 3*u + 16, -3*u + 48 = 3*r. Suppose -5*x = -0*x - 3*p - 12, 5*x + 4*p + r = 0. Let i(f) = f**3 + f**2 + f - 6. Give i(x).
-6
Let t(i) = i + 1. Suppose 6*a = 5 + 1. Give t(a).
2
Let l(t) = -t**3 + 2*t**2 + t - 1. Let w = 33 + -30. Calculate l(w).
-7
Suppose l - 8 = 2*a, 4*a + 9 = 4*l - 11. Let d(b) = -4 - 2*b + l + 4. Let r = 6 + -4. What is d(r)?
-2
Let f(c) = c**3 - 5*c**2 - 3*c + 2. Let y be ((-2)/6 + 2)/(3/9). What is f(y)?
-13
Let i(j) = j**3 + 4*j**2 + 2*j - 1. Let x be i(-3). Let l be 6/(-9)*(-9)/x. Suppose l*n = 6*n + q + 18, -q - 28 = 5*n. Let v(g) = -g - 5. Calculate v(n).
0
Let l(i) = 11*i**3 + 9*i**2 - 6*i - 8. Let n(d) = 4*d**3 + 3*d**2 - 2*d - 3. Let w(r) = -3*l(r) + 8*n(r). Let h = 15 - 18. What is w(h)?
-6
Let l be (-15)/10*(-12)/(-9). Let x(d) = -d**3 + 3*d + 2. What is x(l)?
4
Suppose 0 = -5*r - 28 + 78. Suppose -t + r = t. Suppose 3*z + u - 1 = t*u, -u = 4*z + 24. Let f(d) = d**2 + 5*d + 2. Give f(z).
2
Let s be (-1 + 1)*(-3)/(-6). Let g = s + -1. Let a be 2 + 1*-7 - g. Let y(n) = -n**2 - 2*n + 2. Give y(a).
-6
Let a(r) = r + 4. Let q(j) = 5. Let t = -9 - -4. Let k(c) = t*a(c) + 4*q(c). Give k(1).
-5
Suppose -4*t = -21 + 1. Let o(j) = 2*j. Give o(t).
10
Let l(z) be the second derivative of -z**5/120 - z**4/12 + 2*z**3/3 + z. Let v(q) be the second derivative of l(q). Determine v(0).
-2
Let c(r) = r - 6. Let l(n) = -2*n + 12. Let a(g) = -2*g. Let m be a(-2). Let j(d) = m*l(d) + 9*c(d). Give j(5).
-1
Let r(x) = -x + 1. Let f = 1 - -1. Let h(q) = -q**3 + 3*q**2 - q. Let o be h(f). Suppose 3*y - o*y = 0. Calculate r(y).
1
Let g(y) = 27*y - 28*y - 1 - 4. Determine g(4).
-9
Let m(l) = -l**3 + 2*l**2 + 2*l - 3. Let i be (-12)/(-5)*30/(-9). Let d be i/(-16) + (-26)/4. Let q = 8 + d. Give m(q).
1
Suppose -f + 5*t = 19, -4*f - 13 = t - 0*t. Let c(d) be the second derivative of -2*d + 0 - 1/3*d**3 - 3/2*d**2. Calculate c(f).
5
Let y(l) = -l**2 - 2*l. Let f be y(-3). Let v(z) = z**3 + 5*z**2 - z + 1. Let k(s) = s**3 + 5*s**2 - 2*s + 2. Let a(p) = 4*k(p) - 5*v(p). Determine a(f).
-6
Let b(a) = -a**3 - 7*a**2 - 3*a + 7. Let v = -6 - 0. Give b(v).
-11
Suppose 8 = 2*i, -78 = -5*k - i - i. Let g be (36/k)/((-3)/(-14)). Suppose -2*d = -4*l - g, -3*l = -l - 2*d + 6. Let y(x) = -x**2 - 3*x + 2. Calculate y(l).
2
Let o(a) = -5*a**3. Let q be o(-1). Let r(x) = x**3 - 6*x**2 + 3*x + 5. Let b be r(q). Let z be 12/(-30) + (-17)/b. Let m(p) = p**2 - 2*p + 1. What is m(z)?
4
Let i(k) = k**2 - k - 1. Let n(f) = 6*f**2 - 4*f - 6. Let t(p) = -4*i(p) + n(p). Calculate t(-2).
6
Let b(c) = 2*c - 1. Let o be (-2)/4*(-6 + 4). Calculate b(o).
1
Let d(k) = -6*k - 14. Let o be d(-3). Let q(p) = 0*p**2 - p**2 - 2 - p**3 - 2*p + 6*p**2. Calculate q(o).
6
Let b = -39 + 33. Let g(p) = -p**3 - 6*p**2 + 2*p - 2. Determine g(b).
-14
Let h(a) = -a**3 - 7*a**2 - 4*a + 6. Let u be h(-6). Let g(c) = -c**3 - 5*c**2 + 5*c - 6. Determine g(u).
0
Let j(r) = -r**2 + 4*r + 2. Let n(f) = 3*f - 20. Let l be n(9). Calculate j(l).
-19
Let c(l) = l**2 + 9*l - 36. Let y be c(-12). Let m(q) = -q + 2. Calculate m(y).
2
Let n(q) be the second derivative of q**5/60 - q**4/12 - 2*q**3/3 - 3*q**2/2 - 2*q. Let z(s) be the first derivative of n(s). What is z(-3)?
11
Let d(r) = -5*r**3 - 7*r**2 - r + 5. Let b(x) = 5*x**3 + 8*x**2 + x - 6. Let v be (-28)/4 - (-1 + 0). Let o(y) = v*b(y) - 7*d(y). What is o(-1)?
-4
Let p(c) be the second derivative of c**5/20 - c**4/6 - 2*c**3/3 + c**2 - c. Let h be 6/30 + (-9)/(135/(-42)). Calculate p(h).
-1
Let k(v) = v**2 - 4*v - 5. Let q(h) = h**3 + 3*h**2 - 4*h - 4. Let m be q(-3). Suppose -2*o - 2*o = m. Let b be 3 - (o - (2 + -3)). Give k(b).
-5
Let j be (-4)/(-3)*6/(-4). Suppose -3*s + 2*s + 7 = 0. Let g(n) = -4 + 2*n + s - 1. Determine g(j).
-2
Let m(g) = -18*g - 2. Let c be m(-1). Let x = 15 - c. Let v(i) be the third derivative of 7*i**5/60 + i**4/24 + i**3/6 - i**2. What is v(x)?
7
Let w(c) be the first derivative of -c**2/2 + 3*c - 9. Determine w(-5).
8
Let i(r) be the second derivative of r**3/6 - 3*r**2/2 - r. Let o = 24 + -30. Give i(o).
-9
Let x(o) = -o**3 - 5*o**2 + 2*o + 2. Suppose -k + 3*k = 4. Let v be (k + 0 + -2)*1. Suppose 3*t + 14 + 1 = v. Give x(t).
-8
Let q(p) = p**3 + 3*p + 2. Let m(x) = 3*x**3 + x**2 + 7*x + 5. Let t be (-6)/4*8/(-6). Let o(f) = t*m(f) - 5*q(f). Let h = -2 + 3. What is o(h)?
2
Let m(u) = 2*u**2 + 3*u + 3. Suppose 2*q = 5*q + 6. Give m(q).
5
Suppose 7 + 17 = 4*m. Let u(x) = 3*x**2 + x - m + 3 - 4*x**2. Give u(0).
-3
Let p(d) = -d + 3. Suppose -4*z = v - 2*v - 28, v - 17 = -5*z. Determine p(v).
11
Let u(m) be the first derivative of m**4/4 - 2*m**3 - 3*m**2/2 + 2*m + 3. Give u(6).
-16
Let f(x) be the third derivative of 3/2*x**3 + 1/12*x**4 + 0 + 0*x - 2*x**2. What is f(-7)?
-5
Let z(w) = -6*w**3 - 10*w**2 - 6*w + 6. Let d(o) = 5*o**3 + 9*o**2 + 6*o - 6. Let r(s) = -7*d(s) - 6*z(s). What is r(4)?
-2
Let r(s) = 8*s - 2. Let a(x) = -x - 1. Let q(z) = 2*a(z) - r(z). Suppose -t - 1 = 5*o, t + 8 = 3*t. Give q(o).
10
Let g(o) be the third derivative of -o**5/40 + o**4/8 + o**3/3 - 2*o**2. Let t(d) be the first derivative of g(d). What is t(3)?
-6
Let p(s) be the first derivative of -s**3/3 - 2*s**2 - 2*s - 1. Let c(w) = -w**3 - 11*w**2 - 5. Let j be c(-11). Determine p(j).
-7
Let r be (-5)/2 - (-1)/(-2). Let v(k) = 2*k - 2 - 2*k + k**2 + 6*k - 3*k. What is v(r)?
-2
Suppose t + 7*j = 2*j + 27, 2*t - 4*j + 16 = 0. Let c(f) = -f - 1. Let m(o) = -1. Let a be 2/8 - 52/16. Let k(l) = a*m(l) + c(l). What is k(t)?
0
Let f be 2*-1*(-1 + 3). Let j(c) be the second derivative of c**4/12 + c**3/2 - c**2 + 2*c. Determine j(f).
2
Let k(z) = -2*z + 1. Let i be (1 + 0 + -1)/(-1). Suppose 5*g = q + 13, i*g = 5*g - 15. Suppose q*t = -t + 2*o + 13, 2*t = 2*o + 12. Calculate k(t).
-1
Let p(g) = g**3 + 4*g**2 - g - 1. Let z be p(-4). Suppose -5*b + 23 = -z*x, 0 = 5*x - 8*b + 3*b + 25. Let o(n) = n**3 - n. Give o(x).
0
Let o(b) = 3*b**3 - 15*b**2 + 3*b + 7. Let f(h) = -h**3 + 7*h**2 - h - 3. Let z(l) = 5*f(l) + 2*o(l). Calculate z(-5).
-6
Let k(y) = -2*y**2 - 4*y - 2. Let o be 36/(-24)*(0 + 2). What is k(o)?
-8
Suppose -4*v + 2 = -14. Let m(o) = v - 1 + 0 - o + 0. Give m(4).
-1
Suppose -5*p = -5*o + 17 - 2, -3*p = -3. Let q(b) = b**2 - 6*b + 5. Determine q(o).
-3
Let x(r) = r + 5. Let k(s) = -5. Let j(v) = 3*k(v) + 2*x(v). Calculate j(4).
3
Let o(v) = 7*v + 2. Let i(m) = -2*m**2 + 9*m - 6. Let z be i(4). Determine o(z).
-12
Let w(i) be the third derivative of -i**8/6720 + i**7/504 - i**6/144 - i**5/60 + i**4/12 - 3*i**2. Let j(v) be the second derivative of w(v). Give j(4).
-6
Let w = 61 + -59. Let m(t) be the first derivative of 8*t - 2 + 1/2*t**w. What is m(-5)?
3
Let g(v) = 2*v**2 - 7*v + 3. Let x = 93 - 88. Calculate g(x).
18
Let d = 17 + -10. Let x = -4 + d. Let y(m) = -2*m**2 + 5*m + 1 - 5 + 0*m**2. Calculate y(x).
-7
Suppose -13 = -v - 4*a, 0*a - 6 = -2*v - 3*a. Let k =
|
{
"pile_set_name": "DM Mathematics"
}
|
ivative of c**3/6 + 6*c**2 - 13*c. Let g(y) = y**2 - y - 7. Let b be g(0). Let n be w(b). Sort -4, n, 4 in decreasing order.
n, 4, -4
Let u = -37 + 39. Put 0.5, 4, u in descending order.
4, u, 0.5
Let k = -21 + 19.5. Sort -0.2, k, -1/4 in descending order.
-0.2, -1/4, k
Let x = -0.6 + 1. Sort -5, 1, x in decreasing order.
1, x, -5
Suppose 4*n = 3*u + 18 + 26, -2*u - 21 = -n. Let x be (-4)/(-16) - (-26)/u. Let f be 2*x/3 + 1. Sort f, -1/3, 0.
f, -1/3, 0
Let l = -3 - -5. Suppose 4*h + 2*j = 8, -l*h + h - 4 = -j. Sort 2, -4, h in descending order.
2, h, -4
Suppose -d + 3*d + 22 = 0. Sort -4, -2, d, 3.
d, -4, -2, 3
Let i = 6 - 5.4. Let c = i - -0.4. Let v = -2 - -1. Put v, -4, c in descending order.
c, v, -4
Let o be (-32)/308 + (-2)/(-7). Let j = -133 - -261/2. Put j, 1/8, o in descending order.
o, 1/8, j
Suppose -i - 4*j + 16 = 0, 0 = -0*i + 2*i + 2*j - 14. Sort 0, 5, i in descending order.
5, i, 0
Let b = 2.7 + -2.5. Put b, 2/3, -4 in descending order.
2/3, b, -4
Let w = -0.4 + 0.1. Put w, 1, 2 in ascending order.
w, 1, 2
Let m = -4.3 + 4. Put m, 0, 0.5 in decreasing order.
0.5, 0, m
Let t be 6/2 - (5 - 7). Suppose -3 = 5*g + 22. Sort g, -3, t in decreasing order.
t, -3, g
Let i be -2 - (-1)/((-2)/4). Sort 1, i, -5.
-5, i, 1
Let g(c) = 2*c + 2. Let b be g(-2). Let k be (-2 - b)/(-3) + 0. Sort 1/3, 2, k in ascending order.
k, 1/3, 2
Suppose z - 2*z + 4 = 0. Suppose 18 = a - 4*a. Let u be (-3)/(27/a) + -1. Put -5, u, z in increasing order.
-5, u, z
Let h = 0.63 + -2.63. Let g be 7/(-2) + 2/4. Let m = -5 + 8. Put m, h, g in descending order.
m, h, g
Let p = 1 + 0. Sort p, 3, 6 in decreasing order.
6, 3, p
Let f be (-513)/9*2/(-6). Let i = 15 - f. Sort -3, 5, i.
i, -3, 5
Let u be 6/(-45) + (-385)/(-75). Sort 1, u, 4, 0 in descending order.
u, 4, 1, 0
Let y(j) = -33*j**3 + 2*j + 1. Let i be y(-1). Let s = i - 157/5. Put -0.1, s, -2/7 in ascending order.
-2/7, -0.1, s
Let g be (3/2)/3*-10. Let r be (((-1)/(-5))/1)/((-90)/75). Sort 1/3, g, r.
g, r, 1/3
Let w = -404.98 - -409. Let g = w - 0.02. Let y = 4.5 - g. Put -1/4, 3, y in descending order.
3, y, -1/4
Let h be 2 + 4/(-3) - 0. Let q = 4.88 + 0.12. Let j = 4.6 - q. Sort 4, h, j in descending order.
4, h, j
Let x = -19 - -15. Put 3, 1, x in decreasing order.
3, 1, x
Let y be (12/(-16))/((-1)/4). Let n be (y/36)/((-9)/(-24)). Sort -0.4, -5, n in descending order.
n, -0.4, -5
Let t = -0.03 + -1.57. Let a = 0.4 - -1.6. Let r = a + t. Sort 3, r, -1 in descending order.
3, r, -1
Let t(q) = -8*q + 24. Let g be t(3). Sort -5, -2/9, g, -0.2 in decreasing order.
g, -0.2, -2/9, -5
Let d = 2 + -2.01. Let x = 1.99 - d. Put -3, 1/9, x in decreasing order.
x, 1/9, -3
Let g(m) = m**2 + 11*m - 17. Let f be g(-12). Sort f, 2, -1 in descending order.
2, -1, f
Suppose -16 = -2*o - 3*r, 2*r = 2*o - 8 + 2. Suppose i + 24 = -o*i. Sort i, -1, 3.
i, -1, 3
Let p be 37/(-7) - 12/(-42). Put p, 0, -8 in increasing order.
-8, p, 0
Let j(s) = s**3 - 14*s**2 + 12*s + 15. Let v be j(13). Sort v, -0.1, -15/2.
-15/2, -0.1, v
Suppose 4*o + 29 = 3*y, -y + 3 = 4*o + 20. Sort 4, 0, -1, y in ascending order.
-1, 0, y, 4
Let y be -294 - (-1 + -1)*1. Let b = -3798/13 - y. Sort b, 0.3, -7 in descending order.
0.3, b, -7
Let w = 0.22 - -0.08. Suppose 5*y - 5*p = 7 + 18, -3*y = -p - 13. Suppose -10*n - y = -6*n. Put n, -3, w in ascending order.
-3, n, w
Let n = 44 - 47. Sort n, -2/13, 1/6.
n, -2/13, 1/6
Suppose -d + 12 = -5*d. Let h = -17.9 + 12.9. Put h, d, -1/7 in increasing order.
h, d, -1/7
Suppose 4*j + 11 - 27 = 0. Let z = -0.1 - -0.3. Suppose s = -4*s. Put z, j, s in descending order.
j, z, s
Let q be -4 + (0 - (1 - 3)). Let z = -57 + 89. Let o be z/60 + 2/(-6). Sort -0.4, o, q in descending order.
o, -0.4, q
Let g be 3/(((-6)/(-10))/1). Put -1, g, -5 in decreasing order.
g, -1, -5
Let o(y) = 2*y**2 + y - 3. Let c be o(-3). Sort 2, c, -2 in descending order.
c, 2, -2
Let u = -22.007 - -0.007. Let k = u - -18. Let g be 22/30 + (-2)/6. Sort k, g, 0 in descending order.
g, 0, k
Let c = -2 + 6. Suppose -2*s - 4 = c. Let d = s - -2. Sort 1, d, -4.
-4, d, 1
Let x be 2*2/(2 - 0). Let f = -1 - 0. Let m be (-2)/((4/6)/f). Sort m, -1, x in descending order.
m, x, -1
Let p = -0.2 + -7.8. Let k = -13 - p. Put 0, 5, k in decreasing order.
5, 0, k
Let h = -16.5 + 9.5. Sort -1/5, -3, 0.3, h in decreasing order.
0.3, -1/5, -3, h
Let r = -16 + 37. Let n = -23 + r. Sort -13, n, 3 in ascending order.
-13, n, 3
Suppose 2*a - o = -2*a - 16, 2*o = -4*a - 28. Put -0.05, a, 0.1 in ascending order.
a, -0.05, 0.1
Let m(r) = -3*r**2 + r. Let y be m(-1). Let c(s) be the third derivative of s**4/24 - 7*s**3/6 - 2*s**2. Let w be c(10). Sort w, y, -1 in increasing order.
y, -1, w
Let s be 3/21*(-1)/1. Sort 3, s, -2/17.
s, -2/17, 3
Let a = 1.87 + 0.13. Put a, 1/4, 1 in ascending order.
1/4, 1, a
Let q = -0.79 + 0.39. Let w(n) = n + 1. Let p be w(-5). Let m be (-2)/p - 1/3. Put -0.5, m, q in ascending order.
-0.5, q, m
Suppose 5*h = -h. Sort 8, h, -5 in descending order.
8, h, -5
Suppose 0 - 4 = 4*q. Suppose -j - 8 = -3*j. Sort j, -3, q in decreasing order.
j, q, -3
Let o(q) be the third derivative of 0*q - q**2 + 1/3*q**3 + 0 - 1/24*q**4. Let u be o(5). Put u, -4, 3 in increasing order.
-4, u, 3
Let j = 4 - 3.6. Let d = 48/13 + -201/65. Sort d, j, -2 in decreasing order.
d, j, -2
Suppose 16 = 2*m + 6. Let h = 3 - 2. Sort 4, m, h in descending order.
m, 4, h
Let q = -0.5 + 4.5. Let w = q + 0. Sort 0.5, w, 0.3 in increasing order.
0.3, 0.5, w
Let a(k) be the second derivative of -k**4/4 - k**3/6 - k**2/2 + 2*k. Let l be a(-1). Put 1, l, -2 in increasing order.
l, -2, 1
Suppose 0 = -j + 1 - 8. Let o be j - (-9)/(-6)*-2. Let k = o + 2. Sort -4, -1, k.
-4, k, -1
Let k(p) = -p**2 - 2*p + 5. Let n(s) = s. Let j(r) = -k(r) + 6*n(r). Let y(c) = -2*c + 6. Let g be y(7). Let l be j(g). Put 5, 3, l in decreasing order.
5, 3, l
Let h = 2.04 + -0.04. Let q = 0 - 0.1. Put 3, q, h in decreasing order.
3, h, q
Suppose -3*f - 2*r = 2*r + 3, -2*r + 26 = -4*f. Let c = 2 + f. Put c, 4, -1 in increasing order.
c, -1, 4
Let v = 0 - -10. Suppose 3*x - 1 = 4*p - 0*p, -2*x = v. Put -2, 0, p in decreasing order.
0, -2, p
Let v = 40 + -39.6. Suppose 0*u + u = -5*q - 23, -q = -u + 7. Put u, 3, v in descending order.
3, u, v
Let t(x) = x + 1. Suppose -11*q + 13*q = 0. Let h be t(q). Let i be 9/2 - 2/(-4). Sort h, i, -2 in decreasing order.
i, h, -2
Suppose 2*h - 4*h = 0. Suppose 5*k + 2*z = 10, 3*k - 7*k - 5*z + 25 = h. Let o = -3 - -2. Put 2, k, o in increasing order.
o, k, 2
Let b be 1*-3*(-25)/15. Sort -5, 2, b.
-5, 2, b
Let h(n) = n + 5. Let y be (-4)/2*1/(-1). Suppose -2*a + 18 + y = -2*l, 4*l = -4*a - 16. Let j be h(l). Put j, 2, 1 in ascending order.
j, 1, 2
Let n be (-19 + 14)/(-2 + 1). Suppose -17 - 6 = -t + 5*y, y = -2*t + 24. Let s = 8 - t. Sort 0, s, n in ascending order.
s, 0, n
Let h = -12 - -7. Let c = -0.59 - 0.41. Put 1/4, h, c in descending order.
1/4, c, h
Let w = -0.33 - 3.69. Let t = 0.02 + w. Let u = 0.46 + 4.54. Put -2, u, t in increasing order.
t, -2, u
Let w = 1.28 + -1.2. Let g = 1.08 - w. Sort 0, -1/3, g in decreasing order.
g, 0, -1/3
Let n(u) = u**3 + 4*u**2 + 2*u + 3. Let r be (-2)/(-6) - (-50)/(-15). Let w be n(r). Sort w, -5, -2 in descending order.
w, -2, -5
Suppose 3*f - 4 = -4*h + 18, -5*f - h + 14 = 0. Let q = 4 - f. Suppose -7 = 2*r + r + 4*i, r - 4*i + 13 = 0. Sort r, q, 5.
r, q, 5
Let g = -17 - -15. Suppose 3*d = 7*d + 20. Let l = d - g. Sort l, 0.2, -2 in ascending order.
l, -2, 0.2
Suppose 4*j = 3*z - 17, z + 3 = j - 4*j. Put 2, z, 1 in ascending order.
1, 2, z
Suppose 4*i + 2*g = -14 + 2, 4*i + 12 = -5*g. Let d be (-1)/4 - i/(-4). Sort 0, -3/2, d in ascending order.
-3/2, d, 0
Let m be 72/(-60) + (-1)/(-5). Put m, 7, 0 in ascending order.
m, 0, 7
Let o(u) = 4*u + 2. Let m be o(2). Let a = -2 - m. Let z = 7 + a. Sort 4, 5, z.
z, 4, 5
Let v = 82 - 42. Let z be 0 - 2*(-2)/v. Let p be (-4)/16*(-16)/10. Put z, p, 1/2 in descending order.
1/2, p, z
Let v = -87 - -433/5. Sort 5, v, 0.04 in ascending order.
v, 0.04, 5
Let r be (2 - -1) + (-4)/1. Let a be ((-12)/(-14))/3*r. Put -1, 5, a in descending order.
5, a, -1
Let a = -10 - -11. Let p = a - -2. Sort p, 0.4, 1/4.
1/4, 0.4, p
Suppose -5*j = -6*j - 3. Sort j, -5, 4 in descending order.
4, j, -5
Let w(q) =
|
{
"pile_set_name": "DM Mathematics"
}
|
et y = -2/399 - 1189/1596. Calculate the common denominator of -67/4 and y.
4
What is the common denominator of ((-1)/2)/(22/24) and -79/10?
110
Let m(l) be the third derivative of 0 + 0*l + 1/6*l**4 + 2/3*l**3 - l**2. Calculate the least common multiple of m(3) and 16.
16
Let p = 4298 - 86049/20. What is the common denominator of p and -17/32?
160
Let z = -311/425 - -7457/68850. Find the common denominator of z and 17/22.
1782
What is the common denominator of -8*-2*(-12)/(-80) and -37?
5
Let y = 41 - 36. Calculate the smallest common multiple of 12 and y.
60
Let j be 2/(-11) + 1458/33. Calculate the common denominator of 1/3 and 50/j - 10/20.
33
Let v = 644 - 25799/40. Find the common denominator of v and 63/4.
40
Let w be 1*6073*(-4)/(-16). Let r = 1538 - w. What is the common denominator of 23/2 and r?
4
Let j be ((-12)/15)/((-2)/10). Suppose 0 = 2*p - p - j. Let l(h) = h**2 + 5*h + 8. What is the lowest common multiple of l(-6) and p?
28
Let g = 4843/860 - 68/43. Find the common denominator of g and 1/2.
20
Suppose -s = -4*v + 9, 0 = 4*s - 0*s - 2*v - 20. Suppose -5*b + 50 = -0*b. What is the smallest common multiple of s and b?
70
Suppose 3*t - 15 = -0*t - 5*s, 4*t - 12 = -4*s. Let f = t - 1. Let j = 9 + f. Calculate the lowest common multiple of j and 20.
40
Let f be 20 + (-1 + -1)/(-1). What is the common denominator of 97/4 and f/140 + 7/35?
28
Let n(p) = -p**2 - 4*p. Let z be n(-3). Suppose 0 = z*d - 4*d + 6. What is the smallest common multiple of 20 and d?
60
Suppose -33 = -3*k - 0*p - 3*p, 3*k = -4*p + 38. Let g be ((-6)/(-16))/(k/1396). Let v = g + -1863/20. What is the common denominator of v and 99/20?
20
Let q = 56619/7 + -510953/70. Suppose 5*n + 351 = -3619. Let u = n + q. Find the common denominator of 111/10 and u.
10
Suppose 5*j + 14 = -11, j + 2 = 3*x. Find the common denominator of -1*((-63)/2 - x) and (-56)/40*105/(-6).
2
Suppose t - 10 = -4. What is the least common multiple of 12 and t?
12
Let c(u) = u**3 + 9*u**2 + 7*u + 7. Let x be c(-8). Let l = 31335/3256 - -1/814. Find the common denominator of (515/x)/(42/9) and l.
56
Let s = 105635/24 + -4400. Calculate the common denominator of s and -89/6.
24
Let p = 46546/7 + -6728. Let m = p - -568/7. Calculate the common denominator of m and -17/10.
70
Suppose 3*i - 7*i = a - 87, 3*a = 9. Suppose 19 = s + 3*u, 2*s = -4*u + 55 - i. Let l = s - 3. Calculate the least common multiple of 6 and l.
30
Suppose -4*p + 3*w = 4*w - 12, 4*w + 12 = 4*p. Suppose 5*z - 191 = -2*y + p*y, -y = -4*z + 153. What is the common denominator of z and -7/11?
11
Let h = 35231/12 + -2931. Find the common denominator of h and (-302)/36 + 0/(-2).
36
Suppose 3*r - 4 = r. Let n(v) = -v**2 - 4*v + 16. What is the lowest common multiple of r and n(0)?
16
Let n = 11190238/425 + -26330. Let c = -20753/2550 + n. Let l = 10/77 - -526/693. Calculate the common denominator of c and l.
18
Suppose 24*v - 138 = 22*v. Calculate the lowest common multiple of 12 and v.
276
Let d = -11 - -13. Suppose d*u + 15 = 5*u. Calculate the lowest common multiple of 2 and u.
10
Let b be (-2)/(-6)*227418/20. Let d = -3794 + b. What is the common denominator of d and 91/6?
30
Let k(y) = -y + 6. Let s be k(6). Let a be (-2 + s - -1) + 7. Calculate the smallest common multiple of 2 and a/(-4)*16/(-24).
2
Let m = 11 - 7. Suppose 2*h + 1070 = m*s, h - 6*h = 25. Calculate the common denominator of (-1)/(-5)*s/2 and 13.
2
Let a = 599909/18 - 33320. Let x = -2/189 + 229/3780. Find the common denominator of a and x.
180
Let x = 3779/90 + -22/45. Calculate the common denominator of x and (-1)/((-6)/130) - -3.
6
Let r = -3 - -13. What is the smallest common multiple of 2/(-3)*(-19 - -1) and r?
60
Let z = 326 + -1603/5. Calculate the common denominator of -31/3 and z.
15
Suppose -3*s = -s - 42. Let c = s - 11. Suppose 39 = 2*n - 1. Calculate the smallest common multiple of c and n.
20
Let c = 3 - -5. Let i(a) = 3*a**2 - 2*a - 35. What is the smallest common multiple of i(-5) and c?
200
Suppose -t + 5*f + 12 = 0, f = -2*t - 1 + 3. Suppose t*j - 144 = -2*j. Calculate the lowest common multiple of 2 and j/(-3)*1/(-2).
6
Suppose 3*s + 2*s = -5. Calculate the smallest common multiple of 14 and ((-2)/(-5))/(s/(-50)).
140
Suppose -3*g = 3*g. Suppose -5*f + 5 + 40 = g. What is the least common multiple of 4 and f?
36
Let y = -69/544 - -85/32. Find the common denominator of -17/4 and y.
68
What is the common denominator of 8/2 + (873/(-28))/9 and 11/16?
112
Let o(r) = 51*r**2 + 2*r + 1. Let w = -1362991/91622 - 530/751. Let h = w + 5/61. Calculate the common denominator of h and o(-1).
2
Suppose -53 + 8 = -5*c. What is the lowest common multiple of 62 and c?
558
Suppose 0 = -2*n + 5*y - 858, -4*n - y = 1294 + 400. Let q be 2/9 + n/(-36). Calculate the common denominator of (-150)/9*(-1)/q and -17/18.
18
Suppose 0 = 2*c + 3*c - 15. Let s be 1185/9 - c/(-9). What is the lowest common multiple of 8 and 4/(-6) + s/9?
56
Let s be 22/90 + 4/20. Let r = s - -110/9. What is the common denominator of -43/7 and r?
21
Suppose 3*n + 24 = 3*x, -24 = -0*x - x + 5*n. Suppose 6*g - q - 10 = 3*g, 0 = -x*g + 2*q + 14. Calculate the common denominator of (3 - 1) + g/(-20) and -43/6.
60
Let n = -7 - -13. What is the lowest common multiple of 14 and n?
42
What is the common denominator of 35/36 and 0 + (96/15 - (-3)/(-9))?
180
Suppose -3*r = -16 - 8. Calculate the lowest common multiple of r and 6.
24
Suppose 0*c - c = -7. Suppose -7 = -2*t - 3*x + c, 0 = 5*x - 20. Calculate the smallest common multiple of (-5 + 21)*(t - 0) and 20.
80
Find the common denominator of (-909)/24*(-4)/15 and (-103)/(-10) + (-3 - -3).
10
Suppose 0 = -5*m + 52 + 33. Let b = m - 13. What is the smallest common multiple of b and 8?
8
Let k(y) = -y**3 - 6*y**2 - 4*y + 7. Suppose 3*b + 0*b - 9 = 0. Suppose 9 + 18 = 4*i + b*f, -f + 7 = i. What is the lowest common multiple of i and k(-5)?
6
Let m = -22287/32 + 695. Find the common denominator of -23/8 and m.
32
Let b = 34 + -32. Calculate the smallest common multiple of 6 and b.
6
Let z(l) = l + 6. Calculate the lowest common multiple of 24 and z(9).
120
Let v = 231/2 + -148. What is the common denominator of 586/(-40) - (-4)/10 and v?
4
Let z = -201493/40 - -5038. Calculate the common denominator of 47/20 and z.
40
Let c(q) = 4*q**2 - 2. Calculate the least common multiple of c(-1) and 14.
14
Let r(o) = o**2 + 13*o - 19. Calculate the smallest common multiple of r(-15) and 9.
99
Let f(z) = -2*z**2 - 8*z + 3. Let q(r) = -2*r**2 - 9*r + 3. Let x(s) = -4*f(s) + 3*q(s). What is the least common multiple of 10 and x(-5)?
110
Let h be 4*194*(-2)/1. Let i = 15461/10 + h. Find the common denominator of 3 + (-39)/12 - -12 and i.
20
Let m = -19/39 + 2881/390. Let k = 819/4 + -4921/20. Let d = k - -42. Find the common denominator of m and d.
10
Suppose 0 = 2*i, 4*i = -3*t + 17 + 10. Suppose j + 21 = 2*v, -5*v + v = 4*j - 36. Calculate the least common multiple of v and t.
90
Let w(p) be the first derivative of -p**3 - 9*p**2/2 + 7*p - 2. Let j be w(-8). What is the common denominator of 51/10 and (0 - (-3)/60)*j?
20
Let h(b) = -b**2 - 3*b + 14. Calculate the smallest common multiple of 16 and h(-5).
16
Find the common denominator of -101/12 and -2 + 322/(-108)*-3.
36
Let f be (-1 - -2)/(4/(-12)). What is the common denominator of 25/8 + f/(-12) and 77/12?
24
Let z = -1169/72 + 37/9. What is the common denominator of -87/70 and z?
280
Let m = 9 + -5. Suppose -3*f - 13 = n, -m*n + 2*n = -4*f + 56. What is the least common multiple of (-4)/n + (-218)/(-11) and 2?
20
Let x = 4067/8 + -510. Find the common denominator of 65/34 and x.
136
Let z be (-2 - (-3 - -1))/2. Suppose 5 = a + 4*a - 5*s, z = -5*a - 3*s + 29. What is the least common multiple of 4 and a?
4
Let z be 2*-2*(2 + -4). Let b be -3*(-1)/((-3)/(-58)). Find the common denominator of 13/16 and 2/z*b/11.
176
Let p = -41/87 - 2069/348. What is the common denominator of p and -81/20?
60
What is the common denominator of ((-6)/(-4))/(870/(-415)) and 53/22?
1276
Let m(p) = 8*p - 60. Calculate the least common multiple of m(9) and 9.
36
Let g = -3 + 2. Let r(b) be the second derivative of -b**5/2 - b**4/6 + b**2/2 + 4*b. Calculate the least common multiple of r(g) and 6.
18
Let b(m) = m**3 - 5*m**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
*(3 + 1 - 3) to the form j*k + s and give s.
7
Express -b**3 + 0 - 2*b**3 + 3 - 1 + 3*b as k*b + u + f*b**3 + r*b**2 and give k.
3
Express (4*p - 2*p + 4*p - p - 4*p + 4*p + (4 - 4 + 2)*(-p + 4*p - p))*(3 - 1 + 3) in the form k*p + i and give k.
45
Rearrange -23 + 3*a + 0*a - 7*a + 3*a to z*a + b and give z.
-1
Rearrange -8*g**3 - g**2 + 18*g**4 + 1 - 16*g**4 - 3 + 1 + 2*g to the form v*g**4 + o*g**3 + t + j*g + q*g**2 and give o.
-8
Rearrange 6*c**3 - 2*c**4 + c + 2 - c + 0 to the form b + j*c**2 + v*c + m*c**4 + t*c**3 and give m.
-2
Express (0 - 1 + 3)*(-v - 4*v + 7*v) + 3*v - 6*v - 10*v in the form x*v + l and give x.
-9
Express 4*p + 8*p + p**2 - 3*p**2 + p**2 in the form h + l*p + f*p**2 and give f.
-1
Rearrange (u**2 + 4*u + 4*u - 10*u - 2)*(5 + 12 - 16 + 7*u) to the form w*u**2 + f*u**3 + k*u + p and give f.
7
Rearrange 33*r - 1 - 3*r - 11*r - 7*r to f + j*r and give f.
-1
Express 349*j**2 + 4*j**3 + 2 - 351*j**2 - j**4 + j + 0*j**4 as g*j**3 + a*j + h*j**4 + r + f*j**2 and give g.
4
Express (t**2 - 2*t**2 + 0*t**2)*(1 + t - 1) + 438 - 2*t**3 - 121*t**2 - 438 as z*t**2 + b*t**3 + y + f*t and give f.
0
Express (g**2 - 3*g**2 - 5*g**2)*((2 + 2 + 0)*(1 - 4 + 1) - 2 + 4 + 0 - 1 + 3 - 4) as j*g + u + q*g**2 and give j.
0
Rearrange (2*z**2 - 2*z**2 + 2*z**2 + 2*z)*(-2 + 2 - 5) to w*z + o*z**2 + t and give w.
-10
Express -2*f**2 + 3*f**2 + f**2 + (2*f**2 - 5*f**2 + 2*f**2)*(-3 + 0 + 2) + (2 - 7 + 3)*(3*f - 2*f - 3*f)*(3*f - 3*f + 2*f) as a + p*f + s*f**2 and give s.
11
Express (0*o - 3*o + 0*o)*(1 - 1 - o)*(-5 + 3 + 4)*(9 + 4 - 2) in the form p + z*o**2 + b*o and give z.
66
Express 10*o**3 - 13*o**3 + 41*o - 43*o as d*o**3 + m*o**2 + a + j*o and give d.
-3
Rearrange d + 20 + 8 + 139 to m*d + j and give m.
1
Express (33 + 8 - 7)*(y + 3*y - 2*y) in the form p*y + l and give p.
68
Rearrange (5 + 12 + 10)*(4*t - 7*t + 4*t) to the form g*t + s and give g.
27
Express (-i + i - i + (2 - 2 + i)*(1 - 1 + 2))*(24*i - 6*i + 15*i) as n + k*i**2 + b*i and give n.
0
Rearrange (5 - 7 + 15 + (-5 + 3 + 4)*(-3 + 0 + 1))*(0*z**2 + z**2 + 0*z**2) to the form p + q*z + k*z**2 and give k.
9
Express -2*r + r - 6*r - 4*r in the form w + l*r and give l.
-11
Rearrange -5*d**3 - 24*d**3 - 6*d**3 + 17*d**3 - 1 to the form f*d**3 + p + t*d**2 + k*d and give p.
-1
Express (1 - 1 - w)*(-4*w - 12*w - 19*w) in the form z + u*w**2 + h*w and give z.
0
Express (-5 + 1 + 3)*(1 - 1 - r)*(11*r - 84*r + 11*r) in the form x*r + a + o*r**2 and give o.
-62
Express -20*b**2 - 2*b - 3*b + 2*b + 5*b in the form z + y*b**2 + p*b and give y.
-20
Express -2 - 5*a**2 - 5*a + 2 + 7*a**2 in the form k + v*a**2 + y*a and give y.
-5
Express (6*y + 0*y + 0*y)*(7 - 2 - 3) - 4*y + 4*y + 2*y + (3*y + y - 2*y)*(-5 + 2 + 1) as j + s*y and give s.
10
Express (-2 + 2 - 2*v)*(-3*v - v + 3*v) + 5*v**2 - 3*v**2 + 0*v**2 + 4*v - 4*v - v**2 - 7*v + v**2 + 7*v as w + c*v**2 + j*v and give c.
4
Rearrange -45*k - 3*k - 22*k to z + w*k and give w.
-70
Rearrange (-4*h + 5*h + h)*(0 - 1 + 2)*(1 + 0*h + 0 - 4*h) to the form x*h**2 + v + b*h and give x.
-8
Express 6 + 8 - 77*q + 74*q + (4 - 1 - 5)*(-q + 4 - 4) as g*q + b and give g.
-1
Rearrange k**3 - k**3 - 3*k**3 + (-3*k**2 + 3*k**2 - 3*k**2)*(-2*k - 5 + 5) to t*k**2 + q + z*k**3 + i*k and give z.
3
Express 5*m**4 + 4 - 6 + 4*m**2 + 2*m - 3*m**4 in the form p*m**2 + a + z*m**3 + r*m**4 + w*m and give p.
4
Express (k + k - 4*k)*(-3 - 3 + 4) + 5*k + 10*k + 5*k as y + f*k and give f.
24
Rearrange -2 + 78*i + 2 - 97*i to w + r*i and give r.
-19
Express 11*u**3 - 11*u**3 + 20*u**2 - 18*u**2 + 7*u + u**4 as p + y*u**4 + m*u**3 + g*u + f*u**2 and give y.
1
Express (4*d**2 + 2 - 7*d**2 - 3*d + 2*d**2)*(2 + d - 2) as b + g*d**3 + z*d**2 + n*d and give z.
-3
Express -32*f - 3*f**2 + 2 + 32*f as l*f + m*f**2 + c and give c.
2
Rearrange ((3*v - v - v)*(0*v - v - 4*v) - 5*v**2 - 11 + 11)*(-4*v**2 + 6*v**2 - 4*v**2) to c*v**3 + h*v**4 + j + x*v + o*v**2 and give h.
20
Rearrange m**2 + 18 - 21 + 8*m**2 to the form y*m + x + t*m**2 and give t.
9
Express 4*a**2 - 3 + 3 + 4 as i + u*a**2 + d*a and give u.
4
Express 0*m**2 - 2 + 0 + 23*m**3 + 11*m**4 - 25*m**3 - 2*m + 2*m**2 as p*m + z*m**4 + d*m**3 + k + n*m**2 and give z.
11
Rearrange (-14 - 4 + 15)*((-1 - 1 + 1)*(-3*j + 2*j - j) - j + j + 3*j) to v + g*j and give g.
-15
Express (3*g + 3*g**3 - 3*g)*(3*g + 0*g - 13*g) as p*g + n + t*g**3 + f*g**2 + w*g**4 and give w.
-30
Express 20*c + 4*c - 7*c as l + r*c and give r.
17
Rearrange i**4 + 1 + 4*i**4 + 1 + i**2 + 2*i - 7*i**4 to f*i**3 + k*i**4 + o*i**2 + a*i + c and give a.
2
Express (-5*l + 0*l + 4*l)*(0 - 3 + 2)*(7*l**3 + 6*l**3 + 3*l**3) + 3*l + 2*l**4 - 3*l as o*l**4 + t*l**2 + r*l + v*l**3 + c and give o.
18
Rearrange -n**2 - n**2 + 4*n**3 - 18*n**3 to f*n**3 + s*n**2 + b + i*n and give f.
-14
Express -5*n**4 + 57*n**2 - 3*n**4 - n - 56*n**2 - 1 as w + i*n**4 + j*n**3 + g*n**2 + u*n and give u.
-1
Express (-5 + a + 5)*((-3 - 2 - 10)*(4 + 0 + 14) + 2 - 2 + 1) as i*a + y and give y.
0
Express 34*o + 1 + 8*o + 0 in the form r + u*o and give u.
42
Express 0*s**3 + s**3 + 0*s + 2*s**2 + 2*s in the form o*s**3 + i + c*s**2 + h*s and give c.
2
Rearrange (3*s - s - s**2 + 2*s**4 + 5*s**2)*(3 + 3 - 2) to j*s**4 + p*s**3 + g*s + m + z*s**2 and give j.
8
Rearrange 1 + 3*a**4 + 2*a**4 + 2*a**2 - 9*a**4 - 5*a**4 to the form s*a**3 + d*a**4 + g*a + v + y*a**2 and give g.
0
Rearrange (0*c**3 + c**3 - 2*c**3)*(6 - 6 - 2*c) + 2*c**4 - 2*c**4 + 2*c**4 to m*c + n + z*c**3 + a*c**4 + f*c**2 and give a.
4
Express -4*t + t**4 + t**3 + 0*t**4 - 5*t**4 + 4 + 3*t as u*t**3 + c*t**2 + p*t**4 + v*t + m and give v.
-1
Express (-7 + 64*f - 16 - 65*f)*(-1 - 3 - 1) in the form s + y*f and give y.
5
Rearrange (w + 1 - 1)*(-3 - 1 + 1)*(1 + 2 - 2) to the form u*w + c and give u.
-3
Express -5*a - 4 + 3*a**4 + 3 + 2*a**2 - 2*a**4 - a**2 as m*a + g*a**2 + i + b*a**4 + n*a**3 and give b.
1
Rearrange -7*r + 2*r**2 + 7*r + (2*r - 7*r + r)*(-1 + 1 - r)*(-3 - 1 + 3) to the form m*r + z + s*r**2 and give s.
-2
Rearrange 69*x**2 + 65*x**2 - 93*x**2 to f + n*x + b*x**2 and give n.
0
Express -6*n + 13*n**2 - 13*n**2 + n**3 as u + g*n + v*n**2 + l*n**3 and give g.
-6
Express f**2 - 3*f + 3 - 13*f**4 + 14*f**4 + 2*f in the form d*f**2 + u*f + o + v*f**3 + x*f**4 and give u.
-1
Rearrange -2*j + 4*j + j - 3*j**3 - j**2 to the form t*j + s*j**3 + y*j**2 + l and give y.
-1
Express (21*q**2 - 98 + 98)*(1 - 1 - 2*q**2) + (16*q + 3*q**2 - 16*q)*(-1 + 1 - q**2) in the form t*q**4 + s*q + v*q**2 + f*q**3 + m and give t.
-45
Rearrange (3 + 7 - 52)*(-2 + 3 - 3)*(k**2 - 2*k**2 - k**2) to n*k**2 + y + x*k and give n.
-168
Express 5*z**3 - 5*z**2 + 3*z**2 - 56*z + 61*z in the form j*z**3 + t + o*z + r*z**2 and give r.
-2
Rearrange (3 + 0 + 5*o - 4*o)*(3 - 3 - 3)*(0 + 0 + 2) to the form l*o + c and give c.
-18
Rearrange (0 + 122*i + 1 - 128*i)*(-2 + 2 - 3*i) + (-1 - 2*i + 1)*(8*i + 0*i - 2*i) to r*i + q*i**2 + a and give r.
-3
Express v - 2*v**2 + v**3 - 2*v - 3*v**3 in the form c*v + f*v**3 + y*v**2 + l and give f.
-2
Rearrange (y - 2*y**2 - y)*(-3 + 3 - 2*y) + (5*y**2 - 4*y**2 + y**2)*(-2*y + 5*y + 2*y) to z*y + q*y**2 + j + g*y**3 and give g.
14
Express o + 4 - 4*o**3 + 2*o**3 - 2 + 5*o**3 as v + s*o**3 + b*o + c*o**2 and give v.
2
Rearrange 0*v**3 - 4 + 2*v**2 + v**3 + 8 + 2*v**3 to the form t + j*v + k*v**3 + q*v**2 and give k.
3
Express (-p**2 - 2*p**2 + 2*p**2)*(-12*p - 12*p - 13*p - p**2) in the form a*p**3 + u*p + j*p**4 + i + t*p**2 and give j.
1
Rearrange (-5*l + 3*l + 0*l + (l + 2 - 2)*(0 - 5 + 4) - 2*l + 2*l + 2*l + 2*l - l + l)*(-9*l + 0*l - l) to the form y + v*l + k*l**2 and give k.
-10
Rearrange (-1 - 1 + 1 + (-2 + 1 + 3)*(1 - 1 + 3) + 0 + 2 + 0)*(m - 5 + 5)*(2*m + 0 + 0) to x + g*m**2 + h*m and give g.
14
Express -4*f**3 + f**3 + 3*f**3 + 2 - 7*f**3 - 9*f**2 as y*f**2 + p + t*f**3 + l*f and give p.
2
Express b**2 + 3*b - 3*b**4 - 2*b + 0*b**4 + 0*b as n + q*b**4 + j*b + s*b**3 + w*b**2 and give w.
1
Express (-6*g**2 + 3*g**2 + 2*g**2)*(73*g**2 + 6*g - 6*g) + 2 - 3*g**4 - 2*g**4 + 4*g**4 as i*g**2 + l*g + h*g**4 + x + r*g**3 and give x.
2
Express 0*z**2 + 2*z**3 + 0*z**2 + (-5 - 3 + 5)*(0*z**3 + 4*z**3 - 5*z**3) + (-2*z + 2*z - z**2)*(-2 + z + 2) in the form m + y*z**2 + h*z + d*z**3 and give d.
4
Rearrange -7 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
hree letters picked without replacement from {a: 2, u: 8}.
7/45
What is prob of sequence jjjj when four letters picked without replacement from {j: 7}?
1
Four letters picked without replacement from {s: 8, o: 3, y: 5}. What is prob of sequence yyys?
1/91
Calculate prob of sequence xx when two letters picked without replacement from {h: 1, k: 2, f: 2, x: 4}.
1/6
Four letters picked without replacement from {u: 8, w: 6, l: 2, p: 3}. What is prob of sequence wlup?
1/323
Four letters picked without replacement from {f: 2, r: 2, z: 4, p: 2, u: 3, o: 1}. What is prob of sequence popr?
1/6006
Three letters picked without replacement from {x: 2, h: 2, g: 6, c: 2}. What is prob of sequence ccx?
1/330
Calculate prob of sequence dxox when four letters picked without replacement from xxzofffffdzrdffdff.
1/12240
What is prob of sequence hn when two letters picked without replacement from zzzqqnzznnnqzqnzzh?
5/306
What is prob of sequence ie when two letters picked without replacement from {t: 1, i: 2, e: 2}?
1/5
What is prob of sequence vb when two letters picked without replacement from bgvbatxx?
1/28
Calculate prob of sequence zd when two letters picked without replacement from {c: 1, g: 8, z: 1, d: 6}.
1/40
Two letters picked without replacement from hhgghh. Give prob of sequence hh.
2/5
Calculate prob of sequence fvfv when four letters picked without replacement from {v: 2, f: 6}.
1/28
What is prob of sequence uww when three letters picked without replacement from uuuuuwuuuuuuwuuuuu?
1/153
Calculate prob of sequence qtt when three letters picked without replacement from qlqltqlqtd.
1/90
What is prob of sequence coc when three letters picked without replacement from cccowuwwowccc?
5/143
Four letters picked without replacement from {h: 17, j: 3}. Give prob of sequence jjhh.
4/285
Four letters picked without replacement from invivivvvviliiiniiv. What is prob of sequence lvni?
7/5168
What is prob of sequence jd when two letters picked without replacement from jajdy?
1/10
What is prob of sequence ja when two letters picked without replacement from {h: 6, j: 1, k: 1, y: 3, a: 1, i: 5}?
1/272
What is prob of sequence pm when two letters picked without replacement from {x: 2, w: 1, e: 1, y: 1, m: 1, p: 1}?
1/42
Three letters picked without replacement from {m: 1, a: 2, j: 5, x: 6, o: 1}. What is prob of sequence oma?
1/1365
Calculate prob of sequence ms when two letters picked without replacement from mmnmmnsuv.
1/18
What is prob of sequence kkd when three letters picked without replacement from {u: 5, d: 2, k: 2}?
1/126
What is prob of sequence hhq when three letters picked without replacement from {q: 13, h: 5}?
65/1224
Four letters picked without replacement from xkxkxxxxxxxxxkxx. What is prob of sequence xxkk?
3/140
Calculate prob of sequence jsc when three letters picked without replacement from cscccccccjcckkkkc.
11/4080
What is prob of sequence gk when two letters picked without replacement from fygqkfgzggfqfqf?
2/105
Two letters picked without replacement from taaptpapsaspsappaaap. What is prob of sequence pp?
21/190
Two letters picked without replacement from wwwjthytjwytyyww. Give prob of sequence jw.
1/20
Four letters picked without replacement from {q: 6, o: 3, l: 5, s: 2, r: 2}. What is prob of sequence qolo?
1/408
Two letters picked without replacement from vveeveeeeovove. Give prob of sequence ve.
5/26
What is prob of sequence vv when two letters picked without replacement from {v: 5, a: 5, x: 3}?
5/39
Two letters picked without replacement from {d: 4, j: 4, o: 2, a: 3, b: 2, p: 3}. What is prob of sequence ba?
1/51
What is prob of sequence vvtt when four letters picked without replacement from vrbtvjvvbvbvrvvtv?
3/1190
Calculate prob of sequence xwx when three letters picked without replacement from xxxxwxwxwuxxw.
56/429
What is prob of sequence wst when three letters picked without replacement from wnsswwwtswww?
7/440
Three letters picked without replacement from lblbbblbbllblbbl. Give prob of sequence lbb.
3/20
Three letters picked without replacement from {s: 1, z: 1, e: 1, h: 1, w: 1}. Give prob of sequence seh.
1/60
Three letters picked without replacement from {w: 1, j: 1, d: 2}. What is prob of sequence dwd?
1/12
Three letters picked without replacement from {d: 1, i: 7, z: 1, c: 3, e: 1}. What is prob of sequence cde?
1/572
What is prob of sequence llly when four letters picked without replacement from {y: 1, a: 1, l: 3}?
1/20
Two letters picked without replacement from nnznczzufzzx. Give prob of sequence cz.
5/132
Two letters picked without replacement from {l: 10, m: 2}. What is prob of sequence mm?
1/66
Two letters picked without replacement from yyzyzyyyyyyyyyyyzzyz. Give prob of sequence yz.
15/76
Three letters picked without replacement from {p: 1, k: 1, n: 1, l: 1, e: 4}. Give prob of sequence nlp.
1/336
What is prob of sequence jj when two letters picked without replacement from {j: 7, q: 6}?
7/26
Three letters picked without replacement from nchhksg. Give prob of sequence hkn.
1/105
Three letters picked without replacement from idmizmiiqzziddq. What is prob of sequence zii?
2/91
What is prob of sequence xxxx when four letters picked without replacement from {x: 9, k: 5, g: 2}?
9/130
Four letters picked without replacement from {y: 5, a: 2, o: 1, n: 4, g: 2}. Give prob of sequence naog.
2/3003
What is prob of sequence fw when two letters picked without replacement from {f: 1, h: 1, w: 1}?
1/6
What is prob of sequence zzzz when four letters picked without replacement from zzzbzzbz?
3/14
Calculate prob of sequence akkk when four letters picked without replacement from {o: 1, x: 1, k: 3, n: 2, a: 3}.
1/280
Four letters picked without replacement from {m: 10, z: 10}. What is prob of sequence zmmm?
20/323
Four letters picked without replacement from sucsvltussssls. Give prob of sequence sclv.
1/1716
What is prob of sequence aac when three letters picked without replacement from caanacmmammaaa?
1/26
Calculate prob of sequence da when two letters picked without replacement from sarsssadsdrdssa.
3/70
Calculate prob of sequence mz when two letters picked without replacement from xvzkxkvkmkvvzk.
1/91
Three letters picked without replacement from {j: 10, t: 5, m: 1, d: 4}. What is prob of sequence dmj?
1/171
Three letters picked without replacement from rhkkkrqdkkkkr. What is prob of sequence rdk?
7/572
Calculate prob of sequence sb when two letters picked without replacement from {o: 2, b: 1, g: 1, s: 1}.
1/20
What is prob of sequence ji when two letters picked without replacement from {j: 2, i: 2, l: 1, m: 1}?
2/15
Two letters picked without replacement from {y: 3, l: 3}. What is prob of sequence ll?
1/5
Calculate prob of sequence ejvs when four letters picked without replacement from {e: 1, s: 1, v: 3, h: 2, j: 4, o: 1}.
1/990
What is prob of sequence gvg when three letters picked without replacement from rvrcerrvrcggvuvvgc?
5/816
Calculate prob of sequence oi when two letters picked without replacement from {o: 1, z: 2, l: 4, r: 1, i: 2}.
1/45
What is prob of sequence ccy when three letters picked without replacement from uppcpyuyycyuc?
2/143
What is prob of sequence mb when two letters picked without replacement from mmmmbmb?
5/21
Three letters picked without replacement from {v: 1, b: 7, k: 2, z: 10}. Give prob of sequence kvz.
1/342
Calculate prob of sequence ggk when three letters picked without replacement from {k: 4, g: 3}.
4/35
Two letters picked without replacement from mqfmqbqmmyzqmqb. Give prob of sequence zf.
1/210
What is prob of sequence ppii when four letters picked without replacement from {i: 5, p: 3}?
1/14
Calculate prob of sequence eea when three letters picked without replacement from aeageggga.
1/84
What is prob of sequence ppt when three letters picked without replacement from ptppppptpp?
7/45
Calculate prob of sequence iku when three letters picked without replacement from ukzgiugh.
1/168
What is prob of sequence pp when two letters picked without replacement from {p: 3, k: 4}?
1/7
Two letters picked without replacement from {j: 3, d: 3, m: 1}. What is prob of sequence jd?
3/14
Three letters picked without replacement from cdddcddcdd. Give prob of sequence dcd.
7/40
What is prob of sequence aau when three let
|
{
"pile_set_name": "DM Mathematics"
}
|
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