text
stringlengths 270
8.19k
| meta
dict |
|---|---|
7.7 - -0.05.
-47.65
What is the difference between 3 and -3559?
3562
What is the difference between -2353 and -5?
2348
Add -35.58 and 0.2.
-35.38
What is the distance between 0.07 and 24843.8?
24843.73
Sum 3 and 1719.
1722
What is 1.5 take away 18653?
-18651.5
2431+5.7
2436.7
Work out -778.9 - 14.
-792.9
Work out -3 + -90865.
-90868
Add -0.015 and 1.
0.985
What is 12.216449 plus 1?
13.216449
Put together -0.5 and -128.
-128.5
2119.1 + 70
2189.1
What is -0.13 plus 0.0233259?
-0.1066741
0.1674336 + 0.1
0.2674336
What is -1518 + 2?
-1516
Work out -1.88376 - 4.
-5.88376
-2.55 + -0.004
-2.554
What is -104.08 minus 55?
-159.08
Add together -10974 and -557.
-11531
Calculate -1141 - 9.
-1150
Sum -313852 and 2.5.
-313849.5
Add 14063 and 22.
14085
Put together 1916.1 and -2.
1914.1
Add 151588 and 2.2.
151590.2
Total of -279 and 9699.
9420
What is 36 - -0.1029?
36.1029
Sum 835655 and 0.
835655
What is -61191 + -0.047?
-61191.047
5 - 401.83
-396.83
What is the difference between 0.2 and -736?
736.2
Calculate -1.2 + -793.
-794.2
Work out 20 + -53.
-33
-0.06+0.75
0.69
Work out -150.67 - -2.37.
-148.3
What is the difference between 3427 and -4?
3431
What is 269 - -8.3?
277.3
What is the difference between 0.5 and -232?
232.5
Put together 4 and 21.0173.
25.0173
What is 1.6 - 10.65?
-9.05
Calculate -190225 - -0.1.
-190224.9
Calculate 163 + -1208.
-1045
What is -3662 - 1?
-3663
Subtract 1749 from -27.
-1776
Work out 0.3 - 942.
-941.7
What is -0.6 minus -0.302245?
-0.297755
Work out -0.2 + 0.32104.
0.12104
Add together -80 and 1.6917.
-78.3083
Subtract 0.83 from -2.
-2.83
What is 0.24 + -4.6?
-4.36
What is 888.9 take away 5?
883.9
2.51 - -99
101.51
What is the difference between 235.8 and 0.2?
235.6
Sum -4776 and 0.226.
-4775.774
What is 134 take away -3.74?
137.74
Work out -1.5 - 0.1591.
-1.6591
What is -0.2208 less than 0.188?
0.4088
Work out -15.21 - -7.42.
-7.79
Calculate -0.078 - -794.
793.922
What is -326 + 0.078?
-325.922
Calculate -58 - 1973.
-2031
Calculate 21 + -1.3.
19.7
What is the distance between -5.507 and -3?
2.507
-5737+-1
-5738
Total of 215 and -58438.
-58223
What is the distance between 0.107 and 9?
8.893
Put together 4198 and -3.
4195
What is 0.00385 less than 0.423?
0.41915
What is the difference between -8750 and -0.1?
8749.9
What is 1034 take away 0.321?
1033.679
Calculate -0.4 - 195335.
-195335.4
Add together -1 and 4779.
4778
What is 155 + -8.8?
146.2
0.06737904 + -0.1
-0.03262096
What is 4 take away 3609598?
-3609594
-95328 - 3
-95331
Sum -0.28 and -0.005.
-0.285
-3.3536 + -54
-57.3536
Sum 0.0693 and -0.3.
-0.2307
Calculate -8.3 + -0.3.
-8.6
Work out 2781 - -126.
2907
Work out -0.1 - 0.1689053.
-0.2689053
What is the difference between -10 and 1125?
1135
Work out 1252 - 3537.
-2285
What is the distance between -0.027153 and -1?
0.972847
What is -75 minus 5?
-80
Add together 0.03 and 1045.
1045.03
Work out 43 - 46.
-3
What is -62713 take away 0.2?
-62713.2
0.23 - 7655
-7654.77
What is the difference between -0.01 and -2.7873?
2.7773
Add 7974 and -2.
7972
-0.1 - 40.3
-40.4
Calculate -500.636 - 0.4.
-501.036
Total of 3 and 9557.
9560
What is 33381 less than -3?
-33384
Add 0.01 and -22943.
-22942.99
Total of 142 and -9042.
-8900
Work out 1.58 - -2.
3.58
0.05 - 114
-113.95
What is -0.3 less than -0.52662?
-0.22662
9+-1683.46
-1674.46
What is the distance between 17 and 5.1?
11.9
Calculate 742207 - -4.
742211
Work out -2.46 - 0.026437.
-2.486437
Total of -19 and 1184.
1165
What is -13843.894 + 3?
-13840.894
0.007+1466
1466.007
1+-200
-199
Work out 0.01913 - 48.
-47.98087
Subtract -0.02 from -0.2628.
-0.2428
Subtract -41323 from -0.04.
41322.96
Work out 1.1 - -4033.
4034.1
Calculate -0.14703 - 0.91.
-1.05703
What is 2.48209 - -0.3?
2.78209
What is -5.48 - 0.208?
-5.688
What is the distance between 10 and 5.69?
4.31
-5 - 137
-142
What is 3 take away 0.487?
2.513
Calculate 36943 - -1.4.
36944.4
What is 21 plus 7?
28
Work out 170 + -28825.
-28655
What is 3834 plus 4?
3838
5 + -7765
-7760
Calculate 0.50709 - 4.
-3.49291
Work out 143 - -184.
327
Calculate -3.28 - 1.2.
-4.48
What is 0.26 + 137853?
137853.26
What is 1905 minus 0.1?
1904.9
What is 3981 - -0.22?
3981.22
3.95 - -0.29
4.24
Add together -161 and 0.1109.
-160.8891
What is -1302 plus -1138?
-2440
Subtract 723 from 856.
133
Sum 107 and 0.118.
107.118
What is -16582 plus 0.1?
-16581.9
What is 7 + 13.909?
20.909
What is 2434 - -75?
2509
What is the difference between -85.6 and 90?
175.6
Put together -0.51 and -8.
-8.51
Work out 0.63 - 5769.
-5768.37
What is the difference between -188 and 0.98?
188.98
What is -0.9134 less than -5.6?
-4.6866
What is 0.5 less than 1668?
1667.5
What is the distance between -0.5 and -0.05557?
0.44443
What is -66945 less than 33?
66978
-1333766 + 2
-1333764
-0.96 - 3
-3.96
What is -4581 take away -18?
-4563
What is -10 less than -718502?
-718492
Work out 0.266 + -2.
-1.734
Sum -35990 and 5.
-35985
Calculate -0.04 + 841.
840.96
-4.3 - -0.14
-4.16
Work out 0.1 - -0.3242.
0.4242
Calculate 0.7 + -48.7.
-48
What is -0.3 minus 3550636?
-3550636.3
What is 29835 + 0.2?
29835.2
Work out 33 + -27926.
-27893
Total of -0.7 and 69.8395.
69.1395
What is -6.49 plus -0.042?
-6.532
Calculate 0.2 + -394.
-393.8
0.2 - -1631
1631.2
Calculate 1325 + -0.04.
1324.96
What is 0.0318 + -1?
-0.9682
Calculate -0.4 + -85.092.
-85.492
Calculate 5.33 - -17.
22.33
Calculate -3663 + 9.7.
-3653.3
Work out -255341 - 0.3.
-255341.3
What is the difference between 0.05 and -0.34?
0.39
258162+-0.7
258161.3
What is 1.12 minus 0.39?
0.73
What is 4.389 + 0.08?
4.469
Calculate -17 + 168.83.
151.83
-192 + -2
-194
What is -4.383 - 0.127?
-4.51
Total of -75 and 1.
-74
Sum -0.14 and -510620.
-510620.14
What is the distance between 4 and -34972?
34976
What is -13 take away -43168?
43155
Calculate 0 - -37531.
37531
Put together 40 and -61.
-21
Total of -2 and -2.138.
-4.138
What is 87 minus 62340?
-62253
Calculate -7900 - 5.
-7905
Add 0.4 and 8000.
8000.4
Add together -10 and -278135.
-278145
What is -36 plus 2636.4?
2600.4
Subtract 2243305 from 4.
-2243301
What is 0.2 less than 0.0968?
-0.1032
Sum 0.1 and 27891.
27891.1
1119 + -2
1117
Subtract -2601.46 from -0.5.
2600.96
What is 15.409 take away 0.5?
14.909
2.40481 - 5
-2.59519
What is the difference between -0.4 and 1141?
1141.4
What is -1.596 minus 203?
-204.596
What is -11096 + 65?
-11031
Total of 73364.9 and -9.
73355.9
What is the difference between -10284 and -0.1?
10283.9
What is -0.485 less than -6148?
-6147.515
Work out -0.6 - 1.2329.
-1.8329
Work out 46.986 + 25.
71.986
Sum -0.05 and 37.
36.95
Work out -13.394 + 2.
-11.394
What is -20.1709 minus 0.2?
-20.3709
Work out 16.1 - 3.
13.1
What is 0.129 + 51699?
51699.129
0.056466 - 1
-0.943534
Sum -13.71 and 1419.
1405.29
What is the difference between -1 and -0.01744?
0.98256
Calculate -0.0101 + 0.041.
0.0309
What is -5 minus -30.7?
25.7
89.944 - -3
92.944
What is -0.4966 minus -6?
5.5034
Add 1 and 319.
320
Calculate -2567 + 1210.
-1357
1044+-1
1043
0.05 + 9230
9230.05
What is the difference between 727 and -1?
728
What is 0.2 less than -13.41?
-13.61
Calculate -4898 + -0.05.
-4898.05
Work out -2031079 - 0.
-2031079
43193 + -67
43126
What is -2254 take away 0.1386?
-2254.1386
What is the distance between 0.15 and -0.02?
0.17
What is the distance between -0.053 and -176?
175.947
Work out 1548 - -0.65.
1548.65
Work out 32 - 2.7.
29.3
Total of -0.5 and -69.833.
-70.333
Calculate 4 - -0.1353.
4.1353
What is -2332 - 1189?
-3521
Subtract -4 from -156264.
-156260
Total of -6.8 and -105.
-111.8
Work out 0.3 + -105.1.
-104.8
9 - 20.31
-11.31
Sum 30.381 and 0.3.
30.681
What is -0.0529 less than -0.27?
-0.2171
What is -0.08 less than 97.9?
97.98
What is -0.5 less than -67010?
-67009.5
Add 0.1 and -252495.
-252494.9
Calculate 1316 - 15280.
-13964
What is 1.2 - -22.9491?
24.1491
What is 5658 + 2.62?
5660.62
-2444.46 + 0.21
-2444.25
Put together -4498 and 4.
-4494
Add together -0.7 and 11415.
11414.3
-2.9 - 2.5
-5.4
What is 58 + 13.9?
71.9
What is 47.4 + -8?
39.4
Work out -0.058 - 38388.
-38388.058
What is -3025 less than 831?
3856
What is the distance between 2886 and -0.4?
2886.4
What is 852 - 0.27?
851.73
What is 423 minus 6945?
-6522
What is the difference between -421 and 0.02?
421.02
Total of 0.6561 and 0.3.
0
|
{
"pile_set_name": "DM Mathematics"
}
|
3. What is 3*f(v) - 4*n(v)?
-v**2 + 2*v - 1
Let f(u) = 24*u**2 + 33*u. Let v(j) = -3*j**2 - 4*j. Determine -4*f(c) - 33*v(c).
3*c**2
Let g(b) = -1. Let q(x) = 5*x - 3. Calculate -2*g(d) + q(d).
5*d - 1
Let d(w) = -5*w + 2. Let r(y) = -177*y + 166*y + 4 + 0. Calculate 13*d(k) - 6*r(k).
k + 2
Let c(l) = l + 8. Let i(q) = q + 7. Let f(k) = 6*c(k) - 7*i(k). Let p(d) = 10*d + 8. Determine -24*f(a) - 3*p(a).
-6*a
Let j(p) = 2*p + 5. Let z(l) = -3*l - 5. Suppose 5*h = -28 + 8. What is h*z(o) - 5*j(o)?
2*o - 5
Let y(v) = 13*v + 9. Let r(n) = 7 + 0 - 3 + 6*n. Calculate -9*r(q) + 4*y(q).
-2*q
Let x(l) = -3*l + 1. Let q(z) = -z - 2. Let y be q(0). Let o(c) = -2*c - 2. Let v(t) = 4*t + 3. Let n(u) = -8*o(u) - 5*v(u). Determine y*n(s) + 3*x(s).
-s + 1
Let i(u) = -u. Let f(w) = 4*w + 1. Let n = 2 + -4. Calculate n*f(a) - 9*i(a).
a - 2
Let r(a) = -7*a**3 + 5*a - 7. Let m(l) = 3*l**3 - 3*l + 4. Calculate 5*m(v) + 3*r(v).
-6*v**3 - 1
Let d(h) = 4*h**3 + h**2 - 3*h + 4. Let s(r) = -r**3 - r**2 + r - 1. What is d(f) + 3*s(f)?
f**3 - 2*f**2 + 1
Let w(m) = -m**2 + m + 2. Let j(o) = -o**2 + 3*o + 4. Give 2*j(s) - 5*w(s).
3*s**2 + s - 2
Let s(i) = -i**3 + 7*i - 3*i + 0*i**2 - 4*i**2 - 3. Let j be s(-5). Let k(v) = -3*v**2 + 10*v + j + v**2 - 10*v. Let n(r) = 1. Determine -k(m) + 2*n(m).
2*m**2
Let y(c) = 5*c**2 + 2*c + 5. Let d(b) = -2*b**2 - b - 2. Give -8*d(l) - 3*y(l).
l**2 + 2*l + 1
Let b(o) = -12*o - o**2 + 11*o + 0*o**2 - 1. Suppose -2*n + 6 = 3*v - 31, 2*n - 10 = 0. Suppose y - 3 = -v. Let w(s) = 5*s**2 + 7*s + 5. What is y*b(l) - w(l)?
l**2 - l + 1
Let p(q) = 18*q**3 - 3*q - 3. Let y(t) = -55*t**3 + 10*t + 10. Calculate -10*p(g) - 3*y(g).
-15*g**3
Let d(n) = -2*n. Let r(q) be the third derivative of -q**3/6 + q**2. Suppose x = 2*x + 5*f - 9, 5*f = -2*x + 38. Let v = -27 + x. What is v*r(b) + d(b)?
-2*b - 2
Let h(x) = 3*x**2 - 2*x + 2. Let t(o) = -10*o**2 + 7*o - 7. What is 14*h(a) + 4*t(a)?
2*a**2
Let q(o) = -3*o**3 + 5*o**2 - 5*o + 5. Let d(w) = -4*w**3 + 7*w**2 - 7*w + 7. Calculate -5*d(j) + 7*q(j).
-j**3
Let a(c) = -12*c**2 - 9*c + 9. Let r(f) = -f**2 - f + 1. What is -a(z) + 9*r(z)?
3*z**2
Let i(v) = 1. Let z(m) = 21*m + 3. Give i(c) - z(c).
-21*c - 2
Let l(k) = -2*k**2 + 5*k - 4. Let n(a) = 2*a**2 - 6*a + 5. What is 6*l(p) + 5*n(p)?
-2*p**2 + 1
Suppose 0 = 5*l - 6*l + 11. Let y(f) = -7*f**3 - 11*f**2 - 7*f - 11. Let t(d) = -4*d - 6*d**2 - d**3 + 0*d**2 - 3*d**3 - 6. Give l*t(a) - 6*y(a).
-2*a**3 - 2*a
Let m(x) = -2*x + 0*x - 7*x. Let b(d) = 17*d + 3. Let a(p) = -16*p - 2. Let q(k) = 3*a(k) + 2*b(k). Determine -8*m(n) + 5*q(n).
2*n
Let w(x) = -7*x**2 + 5*x + 2. Let f(b) = -6*b**2 + 4*b + 1. Give 3*f(r) - 2*w(r).
-4*r**2 + 2*r - 1
Let n(k) = 5*k**2 + k + 10. Let x(v) = -v**2 - 2. Calculate 2*n(t) + 11*x(t).
-t**2 + 2*t - 2
Let k(m) = 3*m**3 - 2*m**2 - m - 5. Let v(y) = -2*y**3 + y**2 + 2. Determine 2*k(x) + 5*v(x).
-4*x**3 + x**2 - 2*x
Let k(j) = -j**3 + 5*j**2 + 5*j + 2. Let v(i) = 2 + 7*i + 7*i**2 + 1 + 2*i**3 - 3*i**3. Suppose 0 = -u + 4*t + 15 + 8, u = 3*t + 19. Calculate u*k(w) - 5*v(w).
-2*w**3 - 1
Let r(i) = 12*i + 2. Suppose 8*c = 7*c + 10. Let d(x) = x. What is c*d(b) - r(b)?
-2*b - 2
Let k be (2/4)/(2/(-4)). Let m(l) = 3*l - 4. Let z(r) = 11*r - 11. Let s = -12 + 6. Let n(b) = -5*b + 5. Let p(w) = s*z(w) - 13*n(w). Determine k*m(f) - 4*p(f).
f
Let r(m) = -8*m**3 - 4*m**2 - m + 3. Let w(v) = 8*v**3 + 3*v**2 - 2. What is -3*r(t) - 4*w(t)?
-8*t**3 + 3*t - 1
Let u(d) = -5*d + 2. Let o(c) = c. Let f(p) = 2*p + 9. Let a be f(-4). Determine a*u(l) + 4*o(l).
-l + 2
Let d(q) = -8*q**2 + 4*q - 2. Let o(i) = 17*i**2 - 9*i + 5. Give -5*d(g) - 2*o(g).
6*g**2 - 2*g
Let f(t) = t + 1. Let p(w) = 3*w + 26. What is -2*f(i) + p(i)?
i + 24
Let i(b) = -5*b + 4 - 1 + 3. Suppose -21 = -0*n - 3*n. Let v(r) = -7 + 21*r - 9*r - 6*r. What is n*i(k) + 6*v(k)?
k
Let t(n) = n. Let x be ((-12)/(-4))/(3/4). Let z(h) = 3*h - x*h - 2 + 0*h. What is 2*t(k) + z(k)?
k - 2
Let j(t) = -1. Let y(n) = 5*n - 2. Determine -3*j(a) + y(a).
5*a + 1
Let m(g) = 6*g**2. Let d = 22 + -7. Suppose 3*o + 3*z = -d, -2 + 8 = 3*o - 4*z. Let x = -4 - o. Let r(j) = 2*j**2. Give x*m(q) + 7*r(q).
2*q**2
Let g(d) = -6*d + 3. Suppose 0 = -11*x - 63 + 8. Let b(a) = -7*a + 3. Calculate x*g(z) + 4*b(z).
2*z - 3
Let u(r) = 9*r - 33. Suppose -5*g + 10*g + 145 = 5*j, 0 = 3*j - g - 95. Let l(b) be the second derivative of b**3/6 - 2*b**2 - b. Determine j*l(q) - 4*u(q).
-3*q
Let y(c) = -3*c + 2. Let k(o) = -2*o + 1. What is 7*k(r) - 5*y(r)?
r - 3
Let v(q) = 2*q**2 - 6*q - 6. Let i(o) = o + 1. Determine -6*i(n) - v(n).
-2*n**2
Let c(v) = -v**3 - 2*v**2 + 2*v. Let x = -8 + 12. Suppose -6*n + 2*n = -4*k + 8, -5*k = x*n - 28. Let i(b) = b**3 + 3*b**2 - 3*b. Calculate k*i(u) + 6*c(u).
-2*u**3
Suppose -4 = x - 4*c - 15, 0 = -2*c - 4. Let s(d) = -11*d**2 - 11*d - 11. Let l(o) = 4*o**2 + 4*o + 4. Calculate x*s(y) + 8*l(y).
-y**2 - y - 1
Let o(p) = p**2 - 4*p - 1. Let z(c) = -5*c**2 + 3*c + 5. Let i(g) = -g**2 + g + 1. Let n(q) = 6*i(q) - z(q). Give -6*n(d) - 5*o(d).
d**2 + 2*d - 1
Let y = 0 - -2. Let d = -67 + 58. Let c(m) = -m**3 + 2*m**2 - 3*m. Let k(t) = -4*t**3 + 9*t**2 - 13*t. Determine d*c(u) + y*k(u).
u**3 + u
Let j(z) = -11*z**2 + 9*z. Let s(l) = l**3 - 3*l**2 - l - 3. Let i be s(4). Let b be 3*(-3)/((-27)/12). Let p(g) = 5*g**2 - 4*g. Determine b*j(k) + i*p(k).
k**2
Let p(i) = i + 3. Let b(k) = -1. Let j(y) be the third derivative of y**5/60 + y**3/3 + 4*y**2. Let a be j(0). Give a*p(c) + 6*b(c).
2*c
Let l(j) be the second derivative of -j**4/6 - j**3/3 - 3*j**2/2 + 21*j. Let o(s) = -5*s**2 - 4*s - 7. What is 7*l(f) - 3*o(f)?
f**2 - 2*f
Let q(k) = k**3 - 3*k**2 - 2*k - 2. Let u(c) = -c**2 - c - 1. Determine -3*q(v) + 6*u(v).
-3*v**3 + 3*v**2
Let m(w) = w**3 - 14*w**2 - w + 19. Let g be m(14). Let z(d) = g*d - 1 + 3 - 4. Let o(y) = 4*y - 1. What is 4*o(n) - 3*z(n)?
n + 2
Let p(j) be the first derivative of 3*j**4/2 - 2*j**3/3 - 3*j**2 - 4*j + 10. Let m(o) = -o**3 + o**2 + o + 1. Let h = -3 + 2. What is h*p(f) - 4*m(f)?
-2*f**3 - 2*f**2 + 2*f
Let d(v) = 5*v + 8. Let i(z) be the third derivative of -z**4/8 - 5*z**3/6 + 6*z**2. What is 5*d(o) + 8*i(o)?
o
Let k(g) = 3*g**2 - 2. Let j be 2*6/(1 - -2). Let r(q) = j - 8 + 6*q**2 + q**2. Give -9*k(w) + 4*r(w).
w**2 + 2
Let h(u) = -u + 5. Let t(z) = 1 + 0*z - 5 + z + 0. Let o(n) = n**2 + n - 2. Let b be o(2). Determine b*h(i) + 5*t(i).
i
Let f(x) = 7*x + 1. Let q(o) = -o**2 - 7*o - 6. Let a be q(-5). Let t(k) = -3 + 6 - a - 6*k. Calculate -5*f(g) - 6*t(g).
g + 1
Let y(j) be the second derivative of j**2/2 - 2*j. Let d(o) = -3. Suppose 3*p - 7*p = 28. Let h(x) = p*y(x) - 2*d(x). Let v(a) = -a. Give h(t) + v(t).
-t - 1
Let z(d) = -3. Let p(u) = -1. Let l(q) = -5*p(q) + 2*z(q). Let c(v) = 2*v - 4. Suppose -2*f + 1 = -3*f. What is f*c(y) + 6*l(y)?
-2*y - 2
Let c(p) = -2*p**3 + 19*p + 11. Let y(s) = 2*s**3 + 10*s + 9. Let t(h) = 3*h**3 + 20*h + 17. Let l(b) = -3*t(b) + 5*y(b). Determine -6*c(k) - 11*l(k).
k**3 - 4*k
Let j(x) = 114*x**3 + 7*x. Let l(u) = -38*u**3 - 2*u. What is -2*j(a) - 7*l(a)?
38*a**3
Let m(g) = 15*g**3 + 10*g**2 + 11*g + 11. Let o(u) = -3*u**3 - 2*u**2 - 2*u - 2. Let i = 27 + -40. Let b be -1 - ((-12)/4 - i). Calculate b*o(j) - 2*m(j).
3*j**3 + 2*j**2
Let n(s) = -649*s**3 - 55*s**2 + 55*s - 55. Let q(k) = 36*k**3 + 3*k**2 - 3*k + 3. Give 3*n(b) + 55*q(b).
33*b**3
Let k(s) = 4*s - 10. Let o be -6 - 4*(-2 + 4). Let w(j) be the first derivative of j**2/2 - 3*j + 1. Give o*w(n) + 4*k(n).
2*n + 2
Let o(v) = -8*v**3 + 6*v**2 + 3*v + 7. Let u(c) = c**3 - c**2 - c - 1. Determine o(w) + 6*u(w).
-2*w**3 - 3*w + 1
Let s = -32 + 12. Let k(l) = 28*l**2 - 20. Let i(b) = 4*b**2 - 3. Determine s*i(j) + 3*k(j).
4*j**2
Let r(j) = 6*j**2 - 2*j - 1. Let p(a) = a**2 + 5*a - 7. Let y be p(-6). Let x be r(y). Let z(o) = o**2 + 2. Let d(t) = 4*t**2 + 6. Give x*z(k) - 2*d(k).
-k**2 + 2
Let x(f) be the second derivative of f**5/20 + f**4/12 - f**3/6 + f**2/2 - 7*f. Let o(d) = -3*d**2 + 1 + 4*d**2 - 4*d + 3*d. Determine o(q) - x(q).
-q**3
Let t(p) = -2*p + 9. Let s(u) = 2*u - 8. Let d be (-4)/6 - 46/(-6). What is d*s(f) + 6*t(f)?
2*f - 2
Let m(g) = 19*g - 5. Let a(b) = 9*b - 2. Calculate -5*a(l) + 2*m(l).
-7*l
Let f(r) = r - 1. Let j(x) be the second derivative of x**2 - 2*x - 1/3
|
{
"pile_set_name": "DM Mathematics"
}
|
site?
False
Is 1042291 composite?
True
Is 250103 composite?
True
Is 167897221 prime?
True
Is 1332217 prime?
True
Is 21025051 prime?
True
Is 307302913 composite?
True
Is 586805 a composite number?
True
Is 58676509 prime?
True
Is 6842861 composite?
False
Is 62835389 a prime number?
True
Is 706337 prime?
True
Is 36453367 prime?
False
Is 66914069 a prime number?
False
Is 14190773 composite?
True
Is 14298821 prime?
True
Is 19923151 prime?
True
Is 47281613 a composite number?
False
Is 1430573 a composite number?
True
Is 846948749 composite?
False
Is 294233 composite?
True
Is 11153014 a composite number?
True
Is 35494813 composite?
True
Is 5947847 a prime number?
True
Is 22281139 a composite number?
True
Is 62827685 a composite number?
True
Is 64135117 prime?
True
Is 449077 composite?
False
Is 38669221 a composite number?
False
Is 147113947 a prime number?
False
Is 159968065 composite?
True
Is 7833461 prime?
True
Is 476963 prime?
False
Is 84267203 composite?
False
Is 64405513 composite?
False
Is 3778309 prime?
False
Is 80528077 a prime number?
False
Is 12431009 a prime number?
False
Is 14890877 a prime number?
False
Is 2371249 a prime number?
False
Is 16483979 a composite number?
False
Is 599743 a prime number?
False
Is 16211599 composite?
False
Is 37362239 a composite number?
False
Is 514987141 a prime number?
False
Is 22001033 composite?
False
Is 38270017 a composite number?
True
Is 1075409 prime?
True
Is 727759 a composite number?
False
Is 24749453 a composite number?
True
Is 167635997 a prime number?
False
Is 99661946 a composite number?
True
Is 1164230699 a composite number?
True
Is 4955189 composite?
True
Is 2457397 prime?
True
Is 976621 prime?
True
Is 173624569 composite?
False
Is 9458003 a prime number?
False
Is 9629853 a prime number?
False
Is 242399 a prime number?
True
Is 9450811 prime?
True
Is 84648481 a prime number?
True
Is 4874915 a prime number?
False
Is 87182705 a composite number?
True
Is 3267155 composite?
True
Is 6203543 a prime number?
True
Is 126193787 a composite number?
False
Is 76987529 a composite number?
False
Is 11504963 composite?
True
Is 33099697 prime?
False
Is 39210673 composite?
True
Is 3517409 a prime number?
False
Is 1649811 a composite number?
True
Is 6414547 prime?
True
Is 12584671 prime?
False
Is 58159373 a composite number?
True
Is 45167489 composite?
True
Is 51283291 a composite number?
False
Is 3092509 prime?
False
Is 196583341 prime?
True
Is 52745591 composite?
False
Is 104116783 a composite number?
False
Is 255794641 prime?
False
Is 36258083 composite?
False
Is 549619445 prime?
False
Is 372012031 a composite number?
False
Is 350887643 prime?
False
Is 322169 a composite number?
False
Is 13723399 composite?
False
Is 21080543 composite?
True
Is 37951231 composite?
True
Is 41263427 a prime number?
True
Is 45917227 a composite number?
True
Is 5253905 a composite number?
True
Is 62666297 prime?
False
Is 9912073 a prime number?
False
Is 18584611 a composite number?
False
Is 10611749 a composite number?
False
Is 3927047 a composite number?
False
Is 119946191 a prime number?
False
Is 29766131 a prime number?
True
Is 13678447 a composite number?
False
Is 74762189 prime?
True
Is 16341133 composite?
False
Is 14397697 prime?
False
Is 22683301 prime?
True
Is 28205147 prime?
True
Is 28712227 composite?
False
Is 202857461 composite?
False
Is 10781053 prime?
False
Is 38121113 prime?
True
Is 1188883 composite?
True
Is 2853577 a composite number?
False
Is 5823955 a composite number?
True
Is 2421943 a prime number?
True
Is 3648811 a composite number?
True
Is 19951207 a composite number?
True
Is 1688543 composite?
False
Is 15794197 prime?
False
Is 707809 a prime number?
False
Is 26424089 prime?
True
Is 38778283 prime?
False
Is 59461 a composite number?
True
Is 55086271 a composite number?
False
Is 36117677 composite?
False
Is 11536001 a composite number?
False
Is 72175003 composite?
True
Is 6711113 a composite number?
False
Is 63949 composite?
False
Is 579720293 prime?
False
Is 233877299 prime?
False
Is 140054927 a composite number?
True
Is 270459911 prime?
True
Is 598513411 a prime number?
False
Is 4298927 a prime number?
True
Is 3464845 a prime number?
False
Is 683681 prime?
True
Is 2670881 prime?
True
Is 52794221 prime?
True
Is 182333 composite?
False
Is 317673257 a composite number?
True
Is 15899747 composite?
False
Is 180794 prime?
False
Is 25874531 a prime number?
True
Is 60306173 a composite number?
False
Is 10619927 prime?
True
Is 460347 composite?
True
Is 30138011 composite?
False
Is 213437 composite?
True
Is 2530354 prime?
False
Is 16125049 a prime number?
True
Is 18343387 a prime number?
True
Is 32983045 a prime number?
False
Is 12004829 prime?
True
Is 8668339 a prime number?
False
Is 24191519 prime?
False
Is 13792731 a prime number?
False
Is 23067977 composite?
False
Is 54851947 a composite number?
False
Is 132158557 a composite number?
True
Is 560067401 composite?
True
Is 16162 composite?
True
Is 4970607 prime?
False
Is 171139253 composite?
False
Is 236386807 a composite number?
False
Is 537067 a prime number?
True
Is 7726346 prime?
False
Is 4867237 composite?
True
Is 8953057 a prime number?
True
Is 7501457 a prime number?
False
Is 49557 a prime number?
False
Is 3510149 a composite number?
True
Is 979691 composite?
False
Is 132121 a composite number?
True
Is 25917499 a prime number?
True
Is 38755187 composite?
False
Is 7129433 composite?
True
Is 17101433 prime?
True
Is 301137 composite?
True
Is 60875279 a prime number?
True
Is 710599 composite?
False
Is 77128761 a prime number?
False
Is 57004553 a composite number?
True
Is 101032033 a prime number?
True
Is 42528433 prime?
True
Is 13274357 a prime number?
True
Is 685493 a composite number?
False
Is 2081699 composite?
True
Is 1363027 a prime number?
True
Is 1018763 prime?
True
Is 3699517 a composite number?
False
Is 5177749 composite?
True
Is 16957357 a prime number?
True
Is 166015 prime?
False
Is 18826499 a prime number?
True
Is 754895 prime?
False
Is 62928287 a composite number?
False
Is 7227859 a composite number?
False
Is 298106131 a prime number?
True
Is 10918631 composite?
False
Is 365534243 prime?
True
Is 21665459 a composite number?
True
Is 200571311 a composite number?
False
Is 63197707 composite?
False
Is 35559521 a composite number?
True
Is 4377799 prime?
True
Is 107267323 a composite number?
False
Is 165170927 a prime number?
False
Is 581919035 composite?
True
Is 105485162 a composite number?
True
Is 22967099 prime?
True
Is 1789717 prime?
False
Is 58463017 a composite number?
True
Is 354509 composite?
True
Is 10930789 prime?
False
Is 6330329 composite?
False
Is 1695823 composite?
False
Is 23123363 a composite number?
False
Is 172092161 a composite number?
True
Is 71419 prime?
True
Is 304094251 prime?
True
Is 5848379 composite?
False
Is 3591721 a composite number?
True
Is 145107607 a composite number?
False
Is 4122827 prime?
True
Is 683395859 a composite number?
False
Is 1767347 a prime number?
False
Is 7968539 prime?
True
Is 8347957 a composite number?
False
Is 9575121 a composite number?
True
Is 773179 composite?
True
Is 495106049 a prime number?
True
Is 25741717 composite?
False
Is 172905347 composite?
True
Is 1889167231 a composite number?
True
Is 1030896877 prime?
True
Is 16082249 a prime number?
False
Is 15365983 a prime number?
False
Is 492461 a prime number?
False
Is 1627313 a prime number?
False
Is 35026879 prime?
False
Is 12540937 composite?
False
Is 4407451 a prime number?
False
Is 1904849 a prime number?
True
Is 51871783 a composite number?
True
Is 148378897 a prime number?
True
Is 102746821 prime?
True
Is 15764785 composite?
True
Is 12097901 a prime number?
False
Is 4704701 a composite number?
True
Is 831301 composite?
False
Is 4595557 composite?
True
Is 1956997 prime?
False
Is 62124761 a composite number?
False
Is 7039763 composite?
False
Is 22181701 prime?
True
Is 136079 prime?
False
Is 273732397 prime?
True
Is 1017253 a prime number?
False
Is 155700439 prime?
True
Is 375569 a composite number?
False
Is 196940501 a composite number?
True
Is 1827569 composite?
True
Is 524149 a composite number?
False
Is 55681069 prime?
False
Is 578739251 composite?
False
Is 769486943 prime?
False
Is 198402703 prime?
True
Is 19823834 prime?
False
Is 163353
|
{
"pile_set_name": "DM Mathematics"
}
|
picking 2 o?
5/14
Three letters picked without replacement from lqrnv. What is prob of picking 1 q, 1 l, and 1 v?
1/10
Two letters picked without replacement from {g: 3, z: 4, j: 7}. Give prob of picking 2 j.
3/13
Calculate prob of picking 2 k when two letters picked without replacement from kkkkskkkkkkkk.
11/13
What is prob of picking 1 o and 3 n when four letters picked without replacement from nnnnnnon?
1/2
Two letters picked without replacement from {c: 1, h: 1, u: 1}. Give prob of picking 1 u and 1 h.
1/3
Three letters picked without replacement from {q: 3, g: 1, p: 2, i: 4}. Give prob of picking 2 p and 1 q.
1/40
Two letters picked without replacement from clgse. Give prob of picking 1 l and 1 e.
1/10
Two letters picked without replacement from {u: 2, z: 4, f: 6}. What is prob of picking 1 f and 1 z?
4/11
What is prob of picking 1 q and 2 c when three letters picked without replacement from ccqc?
3/4
Four letters picked without replacement from tetmm. What is prob of picking 2 t and 2 m?
1/5
Three letters picked without replacement from rkbibribrbbwrrrrubrr. Give prob of picking 1 b, 1 u, and 1 w.
1/190
What is prob of picking 1 o and 1 l when two letters picked without replacement from zslozo?
2/15
Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {g: 4, k: 6, o: 2, z: 3}.
8/35
Four letters picked without replacement from {x: 1, w: 4, h: 2, q: 3, f: 4}. What is prob of picking 1 q, 1 x, and 2 h?
3/1001
What is prob of picking 1 t, 1 s, and 1 p when three letters picked without replacement from toooooootoptsootots?
10/969
What is prob of picking 3 f when three letters picked without replacement from qfffqfqfqfqfcqqc?
1/16
Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {x: 7, y: 9, b: 1, h: 1}.
7/153
Two letters picked without replacement from hhqqh. What is prob of picking 2 h?
3/10
What is prob of picking 1 j and 2 p when three letters picked without replacement from yplpajjxjalj?
1/55
Two letters picked without replacement from qdhh. What is prob of picking 1 d and 1 h?
1/3
What is prob of picking 1 f, 1 w, and 1 a when three letters picked without replacement from {k: 1, g: 4, f: 3, p: 1, w: 1, a: 4}?
3/91
Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, z: 7, c: 2}.
1/22
What is prob of picking 2 k and 2 w when four letters picked without replacement from {n: 1, w: 2, j: 1, k: 2, q: 1, z: 1}?
1/70
What is prob of picking 3 o and 1 k when four letters picked without replacement from okokookkkoookkoookk?
90/323
Four letters picked without replacement from {m: 8, q: 3}. What is prob of picking 3 m and 1 q?
28/55
Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {m: 2, r: 8, q: 1, s: 1, v: 2}.
4/91
Two letters picked without replacement from ellrwrrwrrlwrr. Give prob of picking 1 r and 1 l.
3/13
Two letters picked without replacement from {k: 4, a: 3, t: 5}. What is prob of picking 1 a and 1 t?
5/22
What is prob of picking 1 d and 1 n when two letters picked without replacement from {n: 1, w: 6, d: 2, g: 3, l: 1, a: 2}?
2/105
Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {x: 1, p: 2, c: 1, t: 5, m: 2, e: 5}.
1/12
Three letters picked without replacement from {w: 8, o: 4, z: 2}. Give prob of picking 1 o and 2 z.
1/91
Calculate prob of picking 1 w and 1 m when two letters picked without replacement from hhwwnwmw.
1/7
Calculate prob of picking 1 x and 3 b when four letters picked without replacement from {s: 5, l: 1, b: 3, x: 1, q: 4}.
1/1001
Four letters picked without replacement from {n: 3, p: 2, b: 6, c: 2}. Give prob of picking 1 p and 3 n.
2/715
Two letters picked without replacement from ccccfffc. What is prob of picking 2 f?
3/28
Calculate prob of picking 1 a, 1 l, and 1 d when three letters picked without replacement from udzla.
1/10
Four letters picked without replacement from {e: 7, z: 6}. Give prob of picking 1 z and 3 e.
42/143
Three letters picked without replacement from ettt. What is prob of picking 3 t?
1/4
Four letters picked without replacement from tewwetxqeeeqowe. Give prob of picking 2 t, 1 w, and 1 o.
1/455
What is prob of picking 1 g, 1 u, and 1 m when three letters picked without replacement from {m: 8, v: 1, u: 7, g: 1}?
7/85
What is prob of picking 2 x and 1 z when three letters picked without replacement from {l: 4, x: 4, h: 3, p: 1, z: 1}?
3/143
What is prob of picking 2 o and 2 m when four letters picked without replacement from {m: 13, o: 3}?
9/70
Three letters picked without replacement from iiyaraagaaiy. What is prob of picking 1 r, 1 y, and 1 a?
1/22
Calculate prob of picking 1 n, 1 q, and 1 w when three letters picked without replacement from wncgjqjc.
1/56
Two letters picked without replacement from {w: 1, i: 1, f: 4, g: 9}. What is prob of picking 1 i and 1 w?
1/105
Two letters picked without replacement from {i: 6, w: 4, v: 1, r: 6}. Give prob of picking 1 i and 1 v.
3/68
What is prob of picking 4 c when four letters picked without replacement from cscsssssssccssssssss?
1/4845
What is prob of picking 1 r, 1 v, and 1 x when three letters picked without replacement from {v: 12, r: 7, x: 1}?
7/95
Calculate prob of picking 1 x and 1 m when two letters picked without replacement from mnmxrnrrrmrr.
1/22
Four letters picked without replacement from {d: 1, f: 1, u: 1, p: 1, r: 1}. Give prob of picking 1 p, 1 r, 1 u, and 1 f.
1/5
Two letters picked without replacement from zxzxx. Give prob of picking 2 z.
1/10
Calculate prob of picking 1 k and 1 g when two letters picked without replacement from orkgols.
1/21
What is prob of picking 2 c when two letters picked without replacement from iicccccicici?
7/22
What is prob of picking 1 f and 1 e when two letters picked without replacement from {v: 1, d: 1, f: 1, n: 1, t: 5, e: 3}?
1/22
What is prob of picking 2 v when two letters picked without replacement from veensslennvvneveevve?
3/38
What is prob of picking 1 v, 2 l, and 1 a when four letters picked without replacement from {l: 1, v: 1, g: 3, a: 2}?
0
Four letters picked without replacement from zzzzzzxzxzzzzzzzzx. What is prob of picking 4 z?
91/204
Calculate prob of picking 1 m, 1 t, and 1 x when three letters picked without replacement from {m: 4, k: 4, t: 4, x: 3, e: 1}.
3/35
Calculate prob of picking 3 y and 1 m when four letters picked without replacement from smzyzymzqzzqyamzamm.
5/3876
Two letters picked without replacement from mlvvvllllvlvvvllrlml. What is prob of picking 1 l and 1 v?
7/19
Three letters picked without replacement from {b: 6, e: 3, i: 4, h: 2}. Give prob of picking 1 e, 1 b, and 1 h.
36/455
What is prob of picking 1 h and 2 m when three letters picked without replacement from {q: 1, m: 5, h: 4, b: 4, c: 2}?
1/14
Four letters picked without replacement from {n: 1, y: 4, t: 4, f: 2, b: 6}. Give prob of picking 3 t and 1 b.
6/595
Calculate prob of picking 1 w and 2 e when three letters picked without replacement from epppstpwessppe.
3/364
Three letters picked without replacement from {q: 2, g: 5, d: 1, b: 11}. Give prob of picking 2 b and 1 d.
55/969
Calculate prob of picking 1 i and 1 y when two letters picked without replacement from bybiybybsi.
2/15
What is prob of picking 1 s and 1 k when two letters picked without replacement from kskkksssksskk?
7/13
Two letters picked without replacement from {u: 12, k: 7}. What is prob of picking 1 u and 1 k?
28/57
What is prob of picking 1 k and 2 q when three letters picked without replacement from forkrrkrffqqqffq?
3/140
Calculate prob of picking 2 q and 1 d when three letters picked without replacement from {d: 5, q: 2}.
1/7
What is prob of picking 1 f and 1 a when two letters picked without replacement from {f: 7, o: 1, a: 5, v: 1, r: 4, e: 1}?
35/171
Three letters picked without replacement from ffgwhwgytwwfhf. Give prob of picking 1 h and 2 w.
3/91
What is prob of picking 2 g and 2 b when four letters picked without replacement from gbbuuguu?
1/70
Three letters picked without replacement from wawaaewccewwawcfwfwc. What is prob of picking 2 w and 1 f?
14/285
What is prob of picking 1 c and 3 n when four letters picked without replacement from tntctncttt
|
{
"pile_set_name": "DM Mathematics"
}
|
ng order.
-345, -3, 2, 5
Put -2, 5, 48, 8, 3 in descending order.
48, 8, 5, 3, -2
Sort 3, -5, -6/7, 0.4, -0.01 in ascending order.
-5, -6/7, -0.01, 0.4, 3
Sort -63, 5, -2, 8 in descending order.
8, 5, -2, -63
Put 3, -43, -1, 2 in increasing order.
-43, -1, 2, 3
Put -121, -1/7, -4, -2/7 in descending order.
-1/7, -2/7, -4, -121
Put 10, -8, 3, 0, -5 in ascending order.
-8, -5, 0, 3, 10
Sort 4, 1/3, 0.1, -0.4 in decreasing order.
4, 1/3, 0.1, -0.4
Sort -5, 5, -4, 30.
-5, -4, 5, 30
Put 963, -3, 0, -1 in descending order.
963, 0, -1, -3
Put -4, 13, 3, 5 in decreasing order.
13, 5, 3, -4
Sort 86, -3, 0, 1 in decreasing order.
86, 1, 0, -3
Put -5, 2, -1, -4 in descending order.
2, -1, -4, -5
Put -121, -0.2, -0.4, 1, -2 in decreasing order.
1, -0.2, -0.4, -2, -121
Sort 13, -7, -4, -1, -2 in increasing order.
-7, -4, -2, -1, 13
Sort 2, -5, 210 in increasing order.
-5, 2, 210
Sort 1, 7, -10 in ascending order.
-10, 1, 7
Put -11, -2/13, 0.03 in descending order.
0.03, -2/13, -11
Sort 3/7, -3, 8/5.
-3, 3/7, 8/5
Sort 60, 0, -2, 1 in increasing order.
-2, 0, 1, 60
Sort 24, -1, 9, 1 in decreasing order.
24, 9, 1, -1
Put -2, 2378, -5, 0 in decreasing order.
2378, 0, -2, -5
Put -3/4, -7, 0.5, -5 in ascending order.
-7, -5, -3/4, 0.5
Put -4/7, -5/4, 96, -3 in descending order.
96, -4/7, -5/4, -3
Sort 0, -1, -4.
-4, -1, 0
Put 5, 26, 2, -11 in increasing order.
-11, 2, 5, 26
Sort -23, -7, -4.
-23, -7, -4
Put -1/45, 0.5, -2/17, 1 in descending order.
1, 0.5, -1/45, -2/17
Put -3/2, 64/5, 24 in ascending order.
-3/2, 64/5, 24
Sort 2, -3, -0.1, 6 in increasing order.
-3, -0.1, 2, 6
Put -13, -11, -5, -1, -2 in decreasing order.
-1, -2, -5, -11, -13
Sort 2, -1, 6, 5.
-1, 2, 5, 6
Put 6, 0, 4 in descending order.
6, 4, 0
Sort -4, 1, 4, 3/83, -1/2 in descending order.
4, 1, 3/83, -1/2, -4
Sort 2, -3, 88, 5, -4 in increasing order.
-4, -3, 2, 5, 88
Sort -5, -20, 2, 0.08, -4/5.
-20, -5, -4/5, 0.08, 2
Sort 0.3, -8, -4, -5, -1/8 in ascending order.
-8, -5, -4, -1/8, 0.3
Sort -17, 2, -8.
-17, -8, 2
Put 5, -87/14, -2/11 in increasing order.
-87/14, -2/11, 5
Sort 5, -7, 0.5, 2/19.
-7, 2/19, 0.5, 5
Sort 1, -1, 7, 5 in ascending order.
-1, 1, 5, 7
Put 0, 1, 4, 17 in decreasing order.
17, 4, 1, 0
Put -2, -5, 19 in increasing order.
-5, -2, 19
Put 0.03, -5, 5, 2/15 in decreasing order.
5, 2/15, 0.03, -5
Put 3/7, 45, -10 in descending order.
45, 3/7, -10
Put 0.55, -3, 4, 0 in ascending order.
-3, 0, 0.55, 4
Sort 0.4, -147/8, -1/8.
-147/8, -1/8, 0.4
Put -23, -3/2, 1 in decreasing order.
1, -3/2, -23
Sort -46.4, 4, -1, -1/4.
-46.4, -1, -1/4, 4
Sort 0, -0.432, -1 in descending order.
0, -0.432, -1
Sort -42, 45, 1, 3.
-42, 1, 3, 45
Sort 0.729, -3/4, -3 in decreasing order.
0.729, -3/4, -3
Sort 1, -35, 10.
-35, 1, 10
Put 1.2, -0.5, 0.2, 0.013, 4 in increasing order.
-0.5, 0.013, 0.2, 1.2, 4
Sort 5, -8, 2, 27 in ascending order.
-8, 2, 5, 27
Sort 3, -2/7, 5, -136.
-136, -2/7, 3, 5
Sort -4/7, -2, 3, 0.19, 5 in decreasing order.
5, 3, 0.19, -4/7, -2
Sort -2, 5, -0.1, -23/8.
-23/8, -2, -0.1, 5
Put -0.03, -324, -4 in ascending order.
-324, -4, -0.03
Put -4, 49, -0.4, 0 in decreasing order.
49, 0, -0.4, -4
Sort 2/9, 4, -0.3, 116 in decreasing order.
116, 4, 2/9, -0.3
Put -1/2, -0.1, -0.3 in decreasing order.
-0.1, -0.3, -1/2
Sort 5, -1, 2, 0, 4.
-1, 0, 2, 4, 5
Put -53, -3, -1/2 in ascending order.
-53, -3, -1/2
Put -65, 0, -3 in descending order.
0, -3, -65
Sort 0.2, -2/11, -0.2, -7 in increasing order.
-7, -0.2, -2/11, 0.2
Sort -4, -9, -5, 3, -3.
-9, -5, -4, -3, 3
Put -4, -19, -1, 11, -1/3 in increasing order.
-19, -4, -1, -1/3, 11
Put 1/8, 5, 1, -4, 14/5 in descending order.
5, 14/5, 1, 1/8, -4
Sort -5, -1/3, -33.
-33, -5, -1/3
Sort -4, -22, -3, -2 in ascending order.
-22, -4, -3, -2
Sort 7, 0, 5, 4, 3 in increasing order.
0, 3, 4, 5, 7
Put -2, -4, 4, 5 in decreasing order.
5, 4, -2, -4
Put 5, -2, -249, 2 in increasing order.
-249, -2, 2, 5
Sort -6, 0, -1, -5 in decreasing order.
0, -1, -5, -6
Sort -253, -3, -5, -2 in decreasing order.
-2, -3, -5, -253
Sort 0.3, -5/9, -0.3, 0.1 in decreasing order.
0.3, 0.1, -0.3, -5/9
Sort -0.35, 2, -8, -5 in ascending order.
-8, -5, -0.35, 2
Put 2, -17, -2, -7 in decreasing order.
2, -2, -7, -17
Put 13/5, -2/3, 4/9, 0.4 in decreasing order.
13/5, 4/9, 0.4, -2/3
Sort -4, -9, 4, -17, 1 in ascending order.
-17, -9, -4, 1, 4
Sort -7, 3, 4, 138.
-7, 3, 4, 138
Sort -10, 0.5, 5 in increasing order.
-10, 0.5, 5
Put 3, 1, -112 in increasing order.
-112, 1, 3
Put 4, -1, -352 in ascending order.
-352, -1, 4
Sort 0.4, 0, -7, -11/4 in decreasing order.
0.4, 0, -11/4, -7
Put -11/3, 0.003, 0, -3/2 in descending order.
0.003, 0, -3/2, -11/3
Put 1/4, -4, 10, 0.3 in decreasing order.
10, 0.3, 1/4, -4
Put -5, 8, -2, 24 in ascending order.
-5, -2, 8, 24
Sort 0, 9/5, 161.
0, 9/5, 161
Sort -4, -2, 2, -631, 5 in descending order.
5, 2, -2, -4, -631
Put 267, 3, -2/11 in ascending order.
-2/11, 3, 267
Sort -4/5, -3, 3, 2 in ascending order.
-3, -4/5, 2, 3
Put -4, 23, 3 in descending order.
23, 3, -4
Put -4/5, 0.5, -0.2, 3 in decreasing order.
3, 0.5, -0.2, -4/5
Put 1.2, -5, 0.106 in ascending order.
-5, 0.106, 1.2
Sort 1/5, 0.4, 0.5, 4/7.
1/5, 0.4, 0.5, 4/7
Sort 4, -4, -5 in descending order.
4, -4, -5
Sort 3, -29/8, 2, -0.2, 0 in decreasing order.
3, 2, 0, -0.2, -29/8
Sort -0.16, 1, -6 in decreasing order.
1, -0.16, -6
Sort -5/4, 1/2, -1/3, 2/5, -0.2 in descending order.
1/2, 2/5, -0.2, -1/3, -5/4
Sort -0.5, 2/3, -2, -13 in decreasing order.
2/3, -0.5, -2, -13
Sort -2/11, 20, 4/3 in ascending order.
-2/11, 4/3, 20
Put -807, -1, 0 in ascending order.
-807, -1, 0
Put 0.5, -5, 37, 0.1 in ascending order.
-5, 0.1, 0.5, 37
Sort -3, 5, -2, 1, 2270.
-3, -2, 1, 5, 2270
Put -1/4, -88, -0.5 in increasing order.
-88, -0.5, -1/4
Put -17, -2, 2, 3 in increasing order.
-17, -2, 2, 3
Sort -1/2, 2, 2/7, -5/39 in ascending order.
-1/2, -5/39, 2/7, 2
Put -0.2, 0, 0.1, -968 in decreasing order.
0.1, 0, -0.2, -968
Sort 1, 0.2, 17 in increasing order.
0.2, 1, 17
Put -4, 12, 3 in increasing order.
-4, 3, 12
Sort 1, 0, 110, -5 in descending order.
110, 1, 0, -5
Sort 40/7, 4, -0.02 in decreasing order.
40/7, 4, -0.02
Sort 59, 2, 3 in ascending order.
2, 3, 59
Sort 2, -5, 5, 83 in decreasing order.
83, 5, 2, -5
Sort 695, 3, 1, 5 in increasing order.
1, 3, 5, 695
Sort -2, 90, -5 in increasing order.
-5, -2, 90
Sort -0.1, 0.1, 8, 0.3, -14.
-14, -0.1, 0.1, 0.3, 8
Put -6, 3, 0 in decreasing order.
3, 0, -6
Sort -1, -2, -5, 418 in increasing order.
-5, -2, -1, 418
Sort -2, -4, 0, -69, -3.
-69, -4, -3, -2, 0
Sort 0.4, -10, 2/21, -0.5 in descending order.
0.4, 2/21, -0.5, -10
Sort -582, 3, 0.5 in decreasing order.
3, 0.5, -582
Put -11, -2/7, -41, -5 in ascending order.
-41, -11, -5, -2/7
Sort -1, -7, 11 in descending order.
11, -1, -7
Put -0.5, 2/7, 1.1, -0.2, 0 in descending order.
1.1, 2/7, 0, -0.2, -0.5
Put -5, -15, -1, -10, 2 in increasing order.
-15, -10, -5, -1, 2
Sort 35, 4, -37, -2 in descending order.
35, 4, -2, -37
Put 0.2, -16, 0.1 in decreasing order.
0.2, 0.1, -16
Sort 2, -7, 3.
-7, 2, 3
Sort 3, 5, -23, -2.
-23, -2, 3, 5
Put -4, -34, 4/7 in decreasing order.
4/7, -4, -34
Sort -0.324, -4, 2.
-4, -0.324, 2
Put -1/62, 4, -0.3, 1, -4/5 in increasing order.
-4/5, -0.3, -1/62, 1, 4
Sort -5, -11, 1, -6 in increasing order.
-11, -6, -5, 1
Sort 5, -1, -2, 2, -59 in ascending order.
-59, -2, -1, 2, 5
Sort 137, 4, -1, 2.
-1, 2, 4, 137
Sort 3, 385, 0.1, 0.2.
0.1, 0.2, 3, 385
Sort -43, -1, 0.2, 2/7 in descending order.
2/7, 0.2, -1, -43
Put 0, -1/9, -0.5, 0.3, 0.14 in decreasing order.
0.3, 0.14, 0, -1/9, -0.5
Sort -0.2, 28/13, 14, 0.1 in ascending order.
-0.2, 0.1, 28/13, 14
Sort -4, 6, -7.
-7, -4, 6
Put 0.3, 2, -4, 3, 3/7 in decreasing order.
3, 2, 3/7, 0.3, -4
Sort 2/319, 1/9, -2, -3 in descending order.
1/9, 2/319, -2, -3
Put 0.2, -9, -3/2 in decreasing order.
0.2, -3/2, -9
Sort -4, 12, 5, -6 in descending order.
12, 5, -4, -6
Sort -2, 1, 12, -7 in decreasing order.
12, 1, -2, -7
Sort -0.2, 1/6, 37/5, 1/3.
-0.2, 1/6, 1/3, 37/5
Put 0.08, 0, 0.4, -1/3 in descending order.
0.4, 0.08, 0, -1/3
Put 4, -9, 2, -3 in decreasing order.
4, 2, -3, -9
Put 2, -7, -29 in decreasing order.
2, -7, -29
Sort -11/3, 0.2, -0.01.
-11/3, -0.01, 0.2
Put 0.3, 0.149, -0.1, -2 in increasing order.
-2, -0.1, 0.149, 0.3
Put 1341, 4
|
{
"pile_set_name": "DM Mathematics"
}
|
- 25*d. Let n(y) = y**3 - 3*y + 2. Calculate 3*b(r) + 7*n(r).
r**3 + 2
Let y(k) be the third derivative of -k**4/8 + k**3/3 + k**2. Let x(u) = -8*u + 7 - 4*u + 3*u. Suppose -73 - 213 = -116*h - 54. Give h*x(m) - 7*y(m).
3*m
Suppose 8*i - 122 = 6*i. Suppose 22 = -3*t + i. Let c(d) = 17*d**2 + d + 2*d - t*d**2. Let u(a) = 3*a**2 + 2*a. Give -4*c(x) + 6*u(x).
2*x**2
Let z(b) = 7*b**3 - 19*b**2 + 5*b + 6. Let o(n) = -8*n**3 + 20*n**2 - 4*n - 7. Calculate 6*o(q) + 7*z(q).
q**3 - 13*q**2 + 11*q
Let p(m) = m**2 - m - 1. Let h(o) = 47*o - 6 - 23*o - 2*o + 28 - 24*o**2. Give -2*h(j) - 44*p(j).
4*j**2
Let g be (14/(-3))/((-3)/9). Let p(j) = -2*j + 5. Let w(h) be the third derivative of -h**4/4 + 7*h**3/3 - 380*h**2. Give g*p(b) - 5*w(b).
2*b
Let s(l) = -5*l**2 - 3*l + 6. Let j(q) = 11*q**2 + 6*q - 13. What is 4*j(y) + 9*s(y)?
-y**2 - 3*y + 2
Let s(o) = -7*o**3 - 9*o + 2. Suppose 0 = y + 5*t - 10, 3*t - 11 = -y - 3. Let w(z) = 3*z**3 + 4*z - 1. Give y*w(m) + 2*s(m).
m**3 + 2*m - 1
Let d(i) = i**2 + 8*i - 2. Let j(q) = -q**2 - 8*q + 2. Let g = 298 - 304. What is g*j(b) - 5*d(b)?
b**2 + 8*b - 2
Let f(z) be the first derivative of -z**3/3 - 12*z**2 - 27*z + 4. Let n be f(-23). Let v(x) = -14*x + 6. Let g(r) = 5*r - 2. What is n*v(c) - 11*g(c)?
c - 2
Let s(m) = -m**3 + 2*m**2 + 3*m - 7. Let x(b) = b**3 - b**2 - 2*b + 4. Suppose -7*g - 5*q + 53 = -3*g, -2*g - q + 19 = 0. Determine g*x(w) + 4*s(w).
3*w**3 + w**2 - 2*w
Let n(o) = 3*o**3 - o**2 + 67. Let v(a) = 6*a**3 - 2*a**2 + 134. Give -7*n(x) + 3*v(x).
-3*x**3 + x**2 - 67
Let j(o) = 10*o**3 - o + 8. Let u(r) = r**3 + r - 2. Give j(b) + 4*u(b).
14*b**3 + 3*b
Suppose 9*n = 4*n + 1090. Let t(h) = 218 - h - n. Let g(u) = u**3 - 2*u**2 + 6*u - 3. Give g(k) + 6*t(k).
k**3 - 2*k**2 - 3
Let v(u) = 6*u - 1. Let q = 285 - 280. Let k(j) = -3*j + 1. Determine q*k(n) + 2*v(n).
-3*n + 3
Let u(f) = 40*f**2 - 21*f - 11. Let v(a) be the second derivative of 2*a**4/3 - 2*a**3/3 - a**2 - 5*a - 40. Calculate -2*u(d) + 11*v(d).
8*d**2 - 2*d
Let o(m) = -2*m. Let y(x) = 2*x. Let h(z) be the second derivative of -z**4/12 - 5*z**3/3 - z**2 - 2*z + 3. Let u be h(-9). Determine u*y(t) + 6*o(t).
2*t
Let z(t) = -t - 1. Let r(a) = 2*a - 120. Give r(c) + 3*z(c).
-c - 123
Let f(j) = -j. Let b(y) = -1. Let s(a) = -2*a + 2. Let t(g) = 4*b(g) + 2*s(g). Let r = 759 + -766. Give r*f(i) + 2*t(i).
-i
Let a(x) = -7*x - 2. Let j(z) = 85*z + 25. Let s = -109 - -132. Suppose 0 = -0*v - 4*v - i + 101, -s = -v + 2*i. What is v*a(k) + 2*j(k)?
-5*k
Let m(k) = -907*k**3 - 5*k + 5. Let h(p) = 454*p**3 + 3*p - 3. Calculate -5*h(r) - 3*m(r).
451*r**3
Let i(b) = -10*b - 22. Let z(t) = 3*t + 10. Let d(p) = -3*i(p) - 7*z(p). Let a(n) = -4*n + 2. Let q be 0 - 2*(-1 - 0). What is q*d(h) + 5*a(h)?
-2*h + 2
Let c(z) = -2*z + 1. Let t(l) = 4*l + 1. Let x(a) = -19*a - 6. Let y(f) = -5*t(f) - x(f). What is 4*c(w) - 7*y(w)?
-w - 3
Let v be (-57 + -4)*2/(1 - 3). Suppose 64*w + 15 = v*w. Let a(d) = 2*d**2 + d + 1. Let t(z) = -z**2 - z. Give w*t(f) - 2*a(f).
f**2 + 3*f - 2
Let z(o) = 2*o + 5. Let f(w) = 38 + 0*w - 35 + w. Let v(y) = 2*y. Let t be v(1). Suppose -n = -t - 3. Calculate n*f(g) - 3*z(g).
-g
Let t(m) = 8*m + 4. Let s(p) = -4*p. Let l(b) = 3*b + 1. Let w(j) = l(j) + s(j). Determine -t(i) + 4*w(i).
-12*i
Let k be (-4 + 3 - -6)*5. Suppose 20*z - 25*z = k. Let t(h) = -7*h**2 - h - 5. Let v(s) = -10*s**2 - 2*s - 7. Calculate z*v(a) + 7*t(a).
a**2 + 3*a
Let s(d) = -17*d**3 + d**2 + 3*d + 5. Let a(y) = 26*y**3 - 2*y**2 - 5*y - 8. Calculate -5*a(g) - 8*s(g).
6*g**3 + 2*g**2 + g
Let d(t) = -11*t - 1. Let f(m) = -22*m - 3. Determine 5*d(a) - 2*f(a).
-11*a + 1
Let r(w) = 11*w**3 + 105*w**2 + 11*w + 2. Let b(u) = -5*u**3 - 53*u**2 - 5*u - 1. Determine 7*b(f) + 3*r(f).
-2*f**3 - 56*f**2 - 2*f - 1
Let a(h) = 4*h + 2. Let d(v) = -7*v - 4. Give -5*a(q) - 2*d(q).
-6*q - 2
Let a(n) = -52*n**3 - 6*n**2 - 4*n. Let m(t) = t**3 - t**2 - t. Calculate a(o) - 6*m(o).
-58*o**3 + 2*o
Let u(b) = 2*b**2 - 10*b - 3. Let n(j) = 3*j**2 + 0*j**2 - 5 - 19*j - 3*j**2 + 3*j**2. Let t(g) = 3*n(g) - 5*u(g). Let k(w) = -w**2 - 5*w. Give 7*k(q) - 5*t(q).
-2*q**2
Let c(m) = -2*m**3 - 4*m**2 - 2*m. Suppose -4*b - 116 = -b - k, 5*k + 28 = -b. Let u = b - -43. Let l(q) = -3*q**3 - 5*q**2 - 3*q. Determine u*c(j) - 4*l(j).
2*j**3 + 2*j
Let c(p) = 2*p**3 - 3*p**2 - 2*p + 5. Let h(b) be the second derivative of -9*b**5/20 + 13*b**4/12 + 3*b**3/2 - 21*b**2/2 + b - 32. Determine -26*c(n) - 6*h(n).
2*n**3 - 2*n - 4
Let s(p) = -2*p. Let k(y) = -203*y - 3. Determine -k(u) - 4*s(u).
211*u + 3
Let r(v) = 2*v**2 + 2*v - 2. Let x(a) = -5*a**2 - 5*a + 5. Let m(f) = -2*f**2 - 5*f + 2. Let k be m(-5). Let j = k - -26. Give j*x(w) + 8*r(w).
w**2 + w - 1
Let i(r) = -23*r + 5. Let q(w) be the first derivative of -4*w**2 + 2*w + 92. What is 4*i(u) - 11*q(u)?
-4*u - 2
Let v(w) = 4*w + 3*w - 3*w + w**2 + 3. Suppose i - 5*q = -20, 0 = -i - q + 2*q. Let k(o) = o**2 + 3*o + 2. Determine i*v(a) - 7*k(a).
-2*a**2 - a + 1
Let t(k) be the second derivative of 0*k**3 + 0 - 1/2*k**4 + 32*k + 3*k**2 + 11/20*k**5. Let f(d) = 0 - 3 - 7*d**3 + 4*d**2 - 1. Determine 8*f(z) + 5*t(z).
-z**3 + 2*z**2 - 2
Let t(d) = -13*d**2 - d + 29. Let j(c) = -10*c**2 + 29. Calculate -4*j(l) + 3*t(l).
l**2 - 3*l - 29
Let x(h) = -11*h**3 - 2*h**2 - 27*h - 10. Let b(s) = 17*s**3 + 3*s**2 + 41*s + 16. Calculate -5*b(r) - 8*x(r).
3*r**3 + r**2 + 11*r
Let g(u) = 1. Let c(n) = -6*n + 5. Let b(i) = -i**2 - 67*i + 365. Let p be b(5). Calculate p*g(o) - c(o).
6*o
Let j be (-18)/30 + (-13)/(-5). Let o(z) = -z + 1. Let g(w) = -5*w + 6. Let y(x) = g(x) - 6*o(x). Let c(p) = -6*p + 1. Give j*c(h) + 11*y(h).
-h + 2
Let u(f) = 5*f**2 + 2*f + 2. Let n(b) = 6*b**2 + 3*b + 3. Let z be ((-44)/(-165)*-9)/(2/(-5)). Give z*u(c) - 4*n(c).
6*c**2
Let p(g) = 6 + 1 + 0 - 6. Let q(m) be the third derivative of -m**4/24 + m**3/6 - 9*m**2. Calculate -2*p(l) + q(l).
-l - 1
Let s(o) = 755*o**2 + 55. Let u(d) = -54*d**2 - 4. Calculate 4*s(q) + 55*u(q).
50*q**2
Let m be (-2)/((7/(28/(-2)))/1). Let k(b) = -b**2 - 2*b. Let f(r) = 2*r**2 + r. Give m*f(n) + 3*k(n).
5*n**2 - 2*n
Let x(n) = 1872*n**2 + 884*n - 91. Let p(u) = -104*u**2 - 49*u + 5. Let y(s) = -91*p(s) - 5*x(s). Let z(g) = -13*g**2 - 5*g. Determine 5*y(v) + 39*z(v).
13*v**2
Let x(m) be the first derivative of m - 1/2*m**2 + 1 + 5/6*m**3. Let z(l) be the first derivative of x(l). Let a(s) = 4*s - 1. What is -3*a(y) + 2*z(y)?
-2*y + 1
Let c(v) = -7*v - 71. Let n(y) = -3*y - 37. Calculate 6*c(s) - 11*n(s).
-9*s - 19
Let v(h) = -4*h**2 + 4*h - h**2 + 2*h**2. Let y be 15/1*(-197)/591. Let d(n) = -n**2 + 2*n. Determine y*d(j) + 2*v(j).
-j**2 - 2*j
Let c(o) = 3*o**2 - 2*o. Suppose 0*b = -6*b + 102. Suppose -4 - b = 7*z. Let y(w) = -3*w**2 + 3*w. Give z*c(a) - 2*y(a).
-3*a**2
Let m(w) = -5*w**2 + 2*w - 69. Let x(n) = -22*n**2 + 9*n - 278. What is -18*m(g) + 4*x(g)?
2*g**2 + 130
Let m(q) = -q. Let u(p) = 2*p**2 + 6*p - p + 5*p - 14*p + 4. Let l(i) = -m(i) + u(i). Let d(y) = 3*y**2 - 6*y + 7. What is 3*d(o) - 5*l(o)?
-o**2 - 3*o + 1
Let s(j) be the third derivative of -5*j**4/12 - j**3/2 - 122*j**2 + 2. Let u(y) = -21*y - 6. Calculate 13*s(g) - 6*u(g).
-4*g - 3
Let m(v) = 5*v**2 - 7*v - 7. Let i(x) = 8*x**2 - 15*x - 13. Calculate 6*i(a) - 11*m(a).
-7*a**2 - 13*a - 1
Let r(b) = -32*b**2 + 0 + 36*b**2 - 4*b + 0 - 4. Let d(w) = 4*w**2 - 3*w - 3. Suppose 2*t = -0*t - 6. What is t*r(h) + 4*d(h)?
4*h**2
Let n(b) = b - 1. Let i(r) = 2*r + 10. What is i(l) + 5*n(l)?
7*l + 5
Let v(p) = p**3 - 4*p**2 + 5*p + 1. Let n(m) = -m**2 + m + 1. Let b be 3/(-9) + (-325)/15. Let r = -13 - b. Suppose -3*g - 6 + r = 0. Determine g*v(w) - 4*n(w).
w**3 + w - 3
Let d(l) = 6*l**2 + 2*l - 2. Suppose -2*x - w + 4 = 0, 5*x = -3*w + 6*w + 21. Let q(t) = -7*t**2 - 3*t + 3. Give x*d(u) + 2*q(u).
4*u**2
Suppose 90*g = -4*v + 88*g + 24, -4*v + g = -18. Let i(a) = -11*a - 5. Let z(q) = 6*q + 3. What is v*z(k) + 3*i(k)?
-3*k
Let w be -1 - ((-24)/(-6) + -6). Let i(v) = 2*v**3 - 4*v - 6. Let y(l) = l + 1. What is w*i(c) + 6*y(c)?
2*c**3 + 2*c
Let l(p) = -6*p**3 - 4*p**2 + 4*p - 4. Let k(c) = -c**3 - 122*c**2 + c + 121*c**2 - 1 + 0*c**3. Suppose -17*y = 27 + 41. Determine y*k(q) + l(q).
-2*q**3
Let x(s) = 22*s**2 - 23*s - 3. Let i(h) = 23*h**2 - 23*h - 3. Let n(d) = 4*i(d) -
|
{
"pile_set_name": "DM Mathematics"
}
|
-4214
Let m(x) = 53*x**2 + 868*x - 13. Give m(-16).
-333
Let d(u) = u**3 + 11*u**2 - 6*u + 411. What is d(-14)?
-93
Let a(n) = -2*n**3 - 36*n**2 + 269*n - 267. Calculate a(-23).
-1164
Let r(q) = 37466*q + 74967. Give r(-2).
35
Let t(a) = -611*a + 7139. Determine t(10).
1029
Let z(o) = 8*o**2 - 252*o - 63. Calculate z(45).
4797
Let g(n) = -n**3 + 205*n**2 + 95*n + 66040. Give g(207).
7
Let p(z) = 8*z**2 + 1453*z - 5956. What is p(4)?
-16
Let q(g) = g**3 - 150*g**2 + 2785*g + 674. Calculate q(22).
-8
Let f(j) = -2*j**2 - 111*j + 2354. Give f(-72).
-22
Let h(n) = 2*n**3 - 1090*n**2 + 11745*n + 1584. What is h(534)?
-18
Let k(d) = -38978*d + 974449. Calculate k(25).
-1
Let z(s) = -3902*s + 476041. What is z(122)?
-3
Let u(t) = -t**3 + 21*t**2 - 128*t + 450. Determine u(7).
240
Let j(w) = -3*w**2 - 99*w + 924. What is j(-34)?
822
Let m(w) = w**3 - 112*w**2 - 583*w - 479. Calculate m(117).
-245
Let o(p) = p**2 + 792*p - 654998. Determine o(505).
-13
Let s(l) = -2*l**2 - 230*l - 3802. Give s(-20).
-2
Let x(a) = -232*a - 5507. What is x(-25)?
293
Let m(i) = i**2 + 2320*i + 27701. Give m(-12).
5
Let i(a) = 2*a**2 + 144*a + 1839. Calculate i(-17).
-31
Let a(w) = -w**3 - w**2 - 85*w - 307. Calculate a(-4).
81
Let x(f) = -3*f**3 - 26*f**2 + 1305*f + 10572. Calculate x(-8).
4
Let s(g) = -23*g**2 + 9478*g + 19046. Give s(-2).
-2
Let v(z) = -z**3 + 200*z**2 - 5517*z - 42572. What is v(165)?
-2
Let m(h) = 19302*h + 38588. What is m(-2)?
-16
Let v(y) = -412*y**2 + 2835*y - 4754. Calculate v(4).
-6
Let z(q) = -78*q**3 + 246*q**2 - 483*q - 7. What is z(2)?
-613
Let u(y) = -y**2 + 12051*y + 265629. What is u(-22)?
23
Let j(l) = 43*l - 549. What is j(13)?
10
Let f(i) = 3*i**3 + 4734*i**2 + 47015*i - 39202. Determine f(-1568).
-2
Let n(q) = -333*q**2 - 41632*q - 497. Give n(-125).
378
Let d(x) = -x**3 + 226*x**2 + 244*x - 3820. Give d(227).
39
Let b(d) = -d**2 + 33473*d + 1206320. What is b(-36)?
-4
Let p(h) = 8908*h + 53793. Give p(-6).
345
Let s(r) = 56*r - 1047. Calculate s(13).
-319
Let r(t) = t**3 + 47*t**2 + 302*t + 412. Give r(-38).
1932
Let w(k) = -k**3 - 4*k**2 - 10926*k + 11. Calculate w(0).
11
Let m(f) = -62*f - 7987. Calculate m(-139).
631
Let l(i) = 13*i - 586. Calculate l(74).
376
Let q(w) = 20*w**3 + 28*w**2 + 338*w + 577. What is q(-2)?
-147
Let d(i) = -i**3 + 208*i**2 - 2498*i + 24. Calculate d(13).
505
Let o(b) = -b**3 - 16*b**2 + 30211*b + 145. Calculate o(-182).
327
Let j(u) = u**3 + 34*u**2 + 1211*u + 40945. Give j(-34).
-229
Let c(d) = -157*d + 445. Calculate c(6).
-497
Let z(r) = 28527*r + 57055. Determine z(-2).
1
Let y(d) = -2*d**2 - 998*d - 99639. What is y(-138)?
-3
Let y(s) = 7*s**2 + 347*s - 52. Determine y(-54).
1622
Let q(l) = 113*l - 9131. What is q(80)?
-91
Let i(l) = -2*l**2 + 40*l + 1119. Give i(-15).
69
Let f(y) = -1017*y + 19293. Give f(19).
-30
Let x(t) = -4*t**3 - 836*t**2 + 1687*t + 371. Calculate x(-211).
582
Let i(w) = 6*w**2 + 11589*w - 46477. Give i(4).
-25
Let c(h) = 4383*h + 302426. What is c(-69)?
-1
Let w(z) = -z**2 + 936*z + 258462. Calculate w(-223).
5
Let l(j) = -j**3 - 12*j**2 + 808*j - 53. Determine l(23).
16
Let u(t) = 25230*t - 706441. Calculate u(28).
-1
Let d(y) = 4556*y + 9330. What is d(-2)?
218
Let i(r) = 4618*r - 75070. What is i(16)?
-1182
Let n(l) = 328*l**2 - 180363*l - 20349. Give n(550).
1
Let q(c) = 268*c**2 - 266*c - 3. Calculate q(1).
-1
Let f(n) = -n**3 + 32*n**2 + 145*n + 99. Determine f(-3).
-21
Let c(l) = 40*l**2 + 727*l - 2120. Determine c(3).
421
Let t(d) = -1872*d**2 + 28059*d + 108. What is t(15)?
-207
Let b(t) = -2156*t + 62. Determine b(0).
62
Let d(p) = p**3 + 253*p**2 + 277*p + 4906. Give d(-252).
-1394
Let a(c) = -c**3 - 142*c**2 + 379*c + 13166. What is a(-144)?
62
Let c(o) = 4448*o + 1721395. What is c(-387)?
19
Let d(k) = k**3 - 40*k**2 + 6*k + 1153. Calculate d(39).
-134
Let f(s) = 5*s**3 - 140*s**2 - 339*s + 68. Calculate f(30).
-1102
Let a(h) = h**3 + 20*h**2 - 295*h - 1007. Determine a(-3).
31
Let u(w) = -2757*w + 24868. What is u(9)?
55
Let u(g) = 417*g + 4050. Calculate u(-10).
-120
Let a(k) = -7*k**2 + 1173*k + 1664. Give a(169).
-26
Let a(t) = 57*t**3 - 20*t**2 - 141*t - 121. Determine a(-1).
-57
Let r(h) = 30*h**2 - 7745*h + 1299. Give r(258).
9
Let j(x) = -1069*x + 38413. What is j(36)?
-71
Let c(j) = j**2 + 27*j - 599. What is c(-41)?
-25
Let b(q) = -8*q**2 + 9790*q - 277189. What is b(29)?
-7
Let a(c) = 2*c**2 - 1181*c - 51801. What is a(-41)?
-18
Let o(j) = 28797*j - 57975. Determine o(2).
-381
Let k(p) = 8*p**2 + 158305*p - 633345. Calculate k(4).
3
Let w(k) = 1852177*k + 18521764. Give w(-10).
-6
Let f(t) = t**2 - 535899*t + 7502390. Give f(14).
0
Let q(h) = -24849*h - 9964482. What is q(-401)?
-33
Let q(x) = x**2 + 361*x + 23987. Determine q(-89).
-221
Let f(z) = -4*z**2 - 37*z + 493773. Calculate f(-356).
1
Let i(c) = -8403*c + 2033511. Calculate i(242).
-15
Let l(i) = 100091*i + 600532. Give l(-6).
-14
Let d(a) = a**2 - 26*a + 166. What is d(12)?
-2
Let s(u) = -19*u**3 - 78*u**2 - 85*u + 67. Determine s(-6).
1873
Let z(r) = 2*r**2 + 114*r - 316. Determine z(-36).
-1828
Let c(n) = n**3 + 118*n**2 - 223*n - 13229. Determine c(-119).
-853
Let m(d) = 26*d**2 + 1522*d + 2333. What is m(-57)?
53
Let x(z) = -z**3 - 91*z**2 + 290*z + 812. What is x(-94)?
60
Let p(n) = -4*n**2 + 275*n - 625. Determine p(65).
350
Let g(a) = -7327*a - 95000. Give g(-13).
251
Let r(w) = 8*w**2 + 479*w + 6722. What is r(-23)?
-63
Let y(f) = 7923*f + 7921. Determine y(-1).
-2
Let k(x) = -16*x**3 - 255*x**2 + 3*x - 202. Determine k(-16).
6
Let r(h) = 121*h**2 + 76347*h - 2519. Give r(-631).
5
Let x(m) = -293*m + 9421. Determine x(32).
45
Let n(g) = -2*g**2 + 777*g + 20124. What is n(-25)?
-551
Let a(b) = b**2 - 1281*b + 116995. Calculate a(99).
-23
Let z(f) = 253839*f + 1776889. Calculate z(-7).
16
Let i(l) = 4182*l - 41784. Determine i(10).
36
Let s(l) = -6*l**3 + 180*l**2 + 7*l - 208. Determine s(30).
2
Let z(f) = 285*f + 6955. Give z(-31).
-1880
Let f(h) = -3*h**2 + 134*h + 101. What is f(13)?
1336
Let x(w) = w**3 - 239*w**2 + 13967*w + 716. Determine x(102).
2
Let b(w) = -543*w + 646. Give b(1).
103
Let k(q) = 166621*q + 3832271. Give k(-23).
-12
Let o(t) = t**3 - 18*t**2 - 829*t + 8956. Give o(11).
-1010
Let v(l) = -2654*l + 44308. Determine v(17).
-810
Let b(m) = -11*m**2 + 2377*m - 2609. Calculate b(215).
-29
Let k(b) = 1026*b - 46402. Calculate k(45).
-232
Let x(s) = -124*s + 13820. What is x(112)?
-68
Let t(d) = 506*d**2 + 3035*d - 24. What is t(-6)?
-18
Let v(p) = -3*p**3 - 69*p**2 - 5*p - 192. What is v(-21)?
-2733
Let u(j) = -3199*j - 121579. Determine u(-38).
-17
Let a(x) = -x**3 - 6*x**2 + 226*x + 176. What is a(-18)?
-4
Let i(m) = -130*m**2 + 13*m + 5. Determine i(-2).
-541
Let r(j) = -j**3 + 38*j**2 + 715*j - 15. Calculate r(-13).
-691
Let q(t) = t**3 - 48*t**2 - 148*t + 100. Give q(51).
355
Let p(n) = -47572*n - 2045597. Give p(-43).
-1
Let m(b) = -11557*b + 69365. Determine m(6).
23
Let c(l) = -106017*l - 211999. Calculate c(-2).
35
Let x(y) = 706*y**2 + 1417*y + 14. What is x(-2)?
4
Let q(s) = -27*s**2 - 929*s - 129. What is q(-34)?
245
Let b(l) = 5*l**2 + 95*l - 2607. Determine b(0).
-2607
Let d(j) = -7*j**3 + 85*j**2 - 192*j - 421. What is d(7)?
-1
Let f(z) = 8957*z - 35697. Calculate f(4).
131
Let b(p) = -10*p**3 - 22*p**2 + 1035*p + 3121. Calculate b(-3).
88
Let h(d) = d**3 + 71*d**2 + 348*d + 1081. Determine h(-66).
-107
Let f(o) = o**3 - 46*o**2 - 458*o + 1367. Calculate f(54).
-37
Let y(z) = -33*z**2 - 604*z + 28. Calculate y(-18).
208
Let x(y) = 18536*y + 111197. Give x(-6).
-19
Let c(z) = -25*z**2 - 1028*z + 4118. Determine c(4).
-394
Let q(i) = -1857*i + 3725. What is q(2)?
11
Let z(p) = -20*p**2 + 476*p - 2085. Give z(18).
3
Let t(f) = 214*f - 2379. Calculate t(13).
403
Let k(r) = -r**2 - 2550*r - 400171. Determine k(-168).
5
Let w(k) = 8167*k - 1478222. Calculate w(181).
5
Let u(s) = 80*s**2 - 680*s + 5. What is u(11)?
2205
Let l(k) = -2*k**2 + 16549*k + 615042. What is l(-37)?
-9
Let f(o) = -6124*o + 35454. Calculate f(6).
-1290
Let a(z) = 7*z**3 - 159*z**2 + 106*z + 146. Calculate a(22).
58
Let u(i) = -76*i + 9973. Calculate u(131).
17
Let n(x) = -2*x**3 + 28*x**2 + 5*x - 1. What is n(-3)?
290
Let q(j) = -2*j**3 + 29*j**2 + 36*j + 19. Determine q(15).
334
L
|
{
"pile_set_name": "DM Mathematics"
}
|
a**3 + a**4 - 1167 + 0*a**4 + 1176 to the form o*a**2 + t*a + q*a**3 + k + s*a**4 and give s.
1
Express -2 + 10*n**3 - 249*n**2 + 250*n**2 + 2*n**3 in the form z*n**2 + o + g*n + l*n**3 and give z.
1
Rearrange (3*v**2 - 2*v**2 + v**2)*(-6*v + 2*v - 14*v) to i + c*v + u*v**3 + x*v**2 and give u.
-36
Express 0*f + f + f as p + w*f and give w.
2
Express -3 - 6*u**2 + 5 - 2*u**2 in the form h + f*u + s*u**2 and give s.
-8
Express 2*c + 3 - 3 + (2*c + c - 10*c)*(-2 + 0 + 4) as r + m*c and give m.
-12
Rearrange 4*y**2 - 3*y**3 + y**2 + 2 - 5*y**2 - 2*y to the form m + o*y + v*y**2 + d*y**3 and give v.
0
Express 2*t**3 - t**2 + t**2 + (t**3 - 2*t**3 - t**3)*(0 - 5 + 3) - t**3 + t**2 - t**2 + 9*t**3 - 4*t**3 + 23*t**3 as g*t**3 + s + c*t + b*t**2 and give s.
0
Express (6 + l + 0 - 1)*(-1 + 4 - 1)*(6 + 9 - 6) as f + x*l and give f.
90
Rearrange -3*c + c - 3*c + c - 2*c + 0*c + (-2*c + 3*c + c)*(-3 + 3 + 2) + 0*c - 2*c + 0*c + (1 + 3*c - 1)*(2 - 1 - 3) to the form r*c + l and give r.
-10
Rearrange (-2*z - 2*z + 7*z)*(2*z**2 - 2*z**2 + 2*z**2) + (-z - 2*z + 0*z)*(-5*z + 5*z - 2*z)*(0*z - 3*z + z) to the form w*z**3 + n*z**2 + c + l*z and give w.
-6
Express (3*u - 3*u + 5*u**2)*(-1 + 2 + 0 + 0 - 2 + 4 + (1 - 3 + 3)*(-2 + 2 + 2)) as d*u + k + v*u**2 and give v.
25
Express (-5 + 11 + 1)*(4 - 3 - 4)*(21 - 21 - 5*x**2) as v*x + z*x**2 + o and give z.
105
Express -263 + 263 + h + 17*h**3 as i*h + z*h**3 + o + b*h**2 and give i.
1
Express 3*q + 4*q + 9*q + (1 - 5 + 2)*(3*q - 3*q + 3*q)*(-1 + 1 + 1)*(0 + 2 - 6) as h*q + x and give h.
40
Rearrange -34*c**4 - 4*c + c**2 + 0*c**2 + 37*c**4 + 5*c to n*c + u + b*c**3 + g*c**4 + d*c**2 and give g.
3
Rearrange ((-2 + 5 - 1)*(2 + 1 - 2) - 4 + 14 - 43)*(-4*s - 2*s + 5*s) to the form l + b*s and give b.
31
Rearrange (1 + 2*k - 1)*(-4 + 1 + 5) + 6*k + 9*k + 30*k to n + g*k and give g.
49
Express m**2 + 4*m**2 - 2*m**2 + (-m + 4*m - 4*m)*(-m + m + 2*m) as h*m + z*m**2 + w and give z.
1
Express (-3*d + d + 3*d)*(-6 + 4 - 5)*(-2*d + d - d) as l*d + a + j*d**2 and give l.
0
Express 0*x + 0*x + 2*x + (3*x - 3*x - 2*x)*(-5 - 2 + 1) + (-1 - 1 + 0)*(-1 - 1 + 1)*(-2*x - 3*x + 3*x) as y*x + l and give y.
10
Rearrange 9*y + 18 + y + 8*y - 19*y to the form i + r*y and give r.
-1
Express -3 - 2*t - 7*t**2 + 6*t**2 + 3*t**4 - t**2 as h*t**4 + p*t**3 + g + x*t + j*t**2 and give h.
3
Rearrange 34*i - 34*i - i**3 + i**2 to x*i**2 + f*i**3 + u*i + o and give f.
-1
Express 3*z - 36*z**2 - 3*z + 4*z**2 in the form k*z + s*z**2 + q and give s.
-32
Express (-9 + 9 + 20)*(4 - 2 - 1)*(0*h + 4*h - 5*h) as t*h + s and give t.
-20
Express -25 - 37*u + 8*u + 25 in the form x*u + p and give x.
-29
Express ((-3 + 5 - 3)*(-3*y + 9*y - y) + 0*y - 4*y + 3*y)*(-4 + 4 + 4*y**2)*(2 - 2 - 2) as z + v*y + m*y**2 + c*y**3 and give c.
48
Rearrange (1 - 1 - 2*s)*(-4 + 5 + 1) + (-3*s - 2 + 2)*(0 + 3 - 1) + 3*s + 0*s - 4*s to the form b*s + l and give b.
-11
Express 75*y - 82*y + 2 + 0*y**2 + 2*y**2 + y**4 in the form k*y**4 + f*y**2 + b + v*y**3 + l*y and give f.
2
Rearrange 5*u + 114*u**2 - 113*u**2 - 3*u + u**3 + 4*u to m*u**2 + c*u + b*u**3 + h and give c.
6
Express 9*x**2 - 15*x**2 - 11*x**2 + (-2 + x + 2)*(x + 2 - 2) + 5*x**2 - 5*x**2 - 2*x**2 in the form y + d*x**2 + z*x and give d.
-18
Rearrange -11 + p**4 + 16 - 9 - p + p**4 - p**3 to n + l*p**4 + o*p**3 + f*p**2 + v*p and give v.
-1
Rearrange 4 + 1 + 4*x**3 + 2*x**3 - 2 to the form t*x + f*x**2 + b*x**3 + l and give b.
6
Express 10 + 19*r - 10 in the form u*r + c and give u.
19
Rearrange (-420 - 111 + 207 - 236)*(-2*p**2 - 4*p + 4*p) to j + t*p + w*p**2 and give w.
1120
Rearrange 51*p**2 - 32*p**2 - 3*p + 3*p to the form j + o*p**2 + b*p and give o.
19
Rearrange 6*m**3 - 4*m**3 + 8*m**2 + 11*m**2 to q*m**2 + c*m + r + t*m**3 and give q.
19
Rearrange -2*f**3 + 2 - 8*f**2 + 5*f**2 + f**2 + 2*f**4 to n*f + l*f**2 + k*f**3 + d + v*f**4 and give k.
-2
Rearrange -2*p**4 + 2*p**2 - 2*p**2 + (-17*p - 2 + p + 6*p)*(1 + p**3 - 5*p**3 + 3*p**3) to the form u*p**3 + z*p + y*p**4 + v + g*p**2 and give v.
-2
Rearrange -9*w**3 + 0*w**3 + 6*w**3 + w**2 - w to i + h*w**3 + r*w + v*w**2 and give h.
-3
Rearrange (9*i + 0*i - 4*i)*(0*i - i - 5*i)*(-1 + 0 + 0) to v + r*i + g*i**2 and give v.
0
Express -5*r - 4*r - 11*r + 4*r in the form m*r + f and give m.
-16
Rearrange (0 + 0 + g - 2 - g + 2 - 1 + 1 - 2*g + (2 - 3 - 1)*(g + 0*g - 3*g))*(-g + 0*g - g) to the form i*g**2 + n*g + q and give i.
-4
Express -67*j**2 + 2*j + 3 + 30*j**2 + 38*j**2 in the form o*j**2 + z*j + x and give x.
3
Express 7*c - 14*c + 30*c as f + m*c and give f.
0
Express (4 - 2*x + 0*x + 3*x)*(4*x - 2*x + 4*x) in the form z*x + p + c*x**2 and give c.
6
Express 19*d**2 - 28*d**2 + 15*d**2 + 8*d as p*d**2 + i*d + n and give p.
6
Rearrange 2 + o**2 - 38*o**4 + 10*o**4 + 8*o**4 + 19*o**4 to g*o**4 + a*o**3 + p*o + y + t*o**2 and give t.
1
Rearrange 3 + i**2 - 3*i + 7*i - 3*i**4 + 2*i**3 - 6*i to t*i**4 + m*i + u + v*i**2 + b*i**3 and give u.
3
Express -2*s**3 - 2*s - 3 - 4 + 7 as b + v*s**3 + y*s + z*s**2 and give v.
-2
Rearrange 0*w - 12 + 12 + 4*w to r*w + o and give r.
4
Express ((0*x + 5*x - 2*x)*(-2 - 2 + 5) - 5*x + x + 2*x)*(0 - 5 + 4) as o + j*x and give j.
-1
Rearrange (a - a + 3*a)*(4*a - a - a) + 5*a**2 - a**2 - 2*a**2 to x + i*a + j*a**2 and give j.
8
Rearrange -1 + 3*u + 1 + 65*u to n*u + r and give n.
68
Rearrange 0*s**4 - 2*s**2 - 2*s**4 - 48*s**3 + 22*s**3 to the form i + n*s**3 + f*s + o*s**2 + l*s**4 and give n.
-26
Express (-2 + i**2 + 2)*(-i + 0*i - 2*i) in the form u + w*i**2 + a*i**3 + p*i and give a.
-3
Express -4*y**2 + 21*y - 20*y - 5*y**2 as h + s*y**2 + g*y and give g.
1
Rearrange (0 + 2 - 4)*(3*j**4 - 3 - 2 + 7) to u*j**3 + k*j + l + f*j**4 + z*j**2 and give f.
-6
Rearrange -t + 19*t**2 + 11*t**2 + 3*t to the form x*t + d + o*t**2 and give o.
30
Rearrange -4*b**2 + 2*b**2 + 0*b**2 + (0*b + 5*b - 4*b)*(-b - 3*b - b) to the form g*b + v + o*b**2 and give o.
-7
Rearrange -7 - 5*x**2 + 5 + 3*x**2 to the form m + l*x**2 + y*x and give m.
-2
Express -12*r + 17*r**2 - 65*r - 16*r**2 in the form f + a*r + q*r**2 and give a.
-77
Express (1 - 1 - 2*o**2)*(-o + 0*o + 0*o) - 383*o**2 - o**3 + 3*o**3 + 365*o**2 in the form q*o**2 + s + k*o**3 + r*o and give s.
0
Rearrange 3*w**4 - 54 - 6*w**4 + w**2 + w + 55 - w**3 to d*w**2 + g*w**4 + f + k*w**3 + s*w and give d.
1
Express (-3*b**2 + b**2 + b**2)*(-22*b + 1215 + 1210 - 2418) as o*b**2 + v*b**3 + a + c*b and give o.
-7
Express (3*d - 10*d + 3*d)*(d + 0 + 0) as i*d**2 + z*d + s and give i.
-4
Rearrange -o**2 + 2*o**4 + 5*o + o**3 - 8*o - 3 + o**4 + 0*o to y*o**3 + a*o**4 + i + q*o + l*o**2 and give a.
3
Express 20*o**2 + 5*o**2 + 5*o**2 as z*o + w*o**2 + b and give w.
30
Rearrange 269 - 8*z**2 - 6*z**3 - 269 to a + t*z**2 + v*z + q*z**3 and give q.
-6
Express (5 + 2 - 4)*(-238 + 238 + 17*k)*(0 + 1 + 1) in the form h + v*k and give v.
102
Express (27*h + 17*h - 76*h)*(-1 + 0 - 2) + 5*h - 5*h - h in the form g*h + a and give g.
95
Express ((0*i - 3*i + 2*i)*(-2 + i + 2) - 4 + 4 + 2*i**2)*(0 + 11 - 3) in the form r*i + q*i**2 + n and give q.
8
Rearrange (-2*w + 2*w**3 + 2*w)*(-w + 21*w + 7*w) to the form u*w**2 + b*w**4 + o + d*w + h*w**3 and give b.
54
Rearrange -6*k - 227*k**2 + 7*k + 232*k**2 + 6*k to the form m + y*k**2 + r*k and give r.
7
Express 19*o**4 - 9*o**4 + 2*o**2 + 4*o**4 + 2*o in the form b + x*o + m*o**3 + s*o**4 + n*o**2 and give x.
2
Rearrange -54*r - 15*r + 15*r - 16*r to z + u*r and give u.
-70
Rearrange -31*h + 6*h + 0*h to the form q + t*h and give t.
-25
Express 3*s**2 + s**2 + 7*s**2 + 0 - 2*s**2 + 0 - 2*s + (s - 1 + 1)*(0*s + 2*s - s) - 2*s**2 + 1 - 1 in the form u + c*s + d*s**2 and give c.
-2
Express (-1851*f**2 - 61*f**3 + 1851*f**2)*(6*f - 5*f + f) in the form q*f**2 + o*f + a + w*f**4 + i*f**3 and give w.
-122
Rearrange 77*r + 34*r - 31*r to the form k + y*r and give y.
80
Rearrange (4*z**3 + z**3 - 3*z**3)*(-2*z + 0*z - 2 + z) - 7*z**4 + 7*z**4 + 7*z**4 to the form g*z + s*z**2 + q*z**3 + m*z**4 + w and give q.
-4
Rearrange 60*t + 67*t - 14*t to x + j*t and give j.
113
Express -14 - 5*g**2 + 4*g**2 + 4*g**2 - 4*g**2 in the form r*g**2 + c*g + p and give r.
-1
Rearrange (-2*d**3 - d**3 + 5*d**3)*(-7 + 13*d + 7) + (-2*d**3 + 0*d + 0*d)*(d - 9*d + d) to the form f + a
|
{
"pile_set_name": "DM Mathematics"
}
|
) 1/2
a
What is the second smallest value in -0.36, -6, 4?
-0.36
Which is the second biggest value? (a) -2/11 (b) 2 (c) -12 (d) 0.5
d
Which is the third biggest value? (a) 1.2 (b) -12/11 (c) -2
c
Which is the biggest value? (a) -2/7 (b) -87 (c) -0.04 (d) 0.7
d
Which is the second biggest value? (a) 0.1 (b) -2/75 (c) -3/4
b
Which is the third biggest value? (a) 4 (b) -0.4 (c) -2 (d) -5 (e) -7
c
What is the third biggest value in -0.1, 0.6, 2/7?
-0.1
What is the smallest value in -49, -0.5, -3/5?
-49
Which is the second smallest value? (a) 2 (b) 10 (c) 3 (d) 1/4
a
Which is the biggest value? (a) -166 (b) 2/9 (c) -2/9
b
Which is the biggest value? (a) -232 (b) 0.3 (c) 5 (d) 1/2
c
Which is the fourth biggest value? (a) 1 (b) 2/5 (c) 2 (d) -1/2
d
What is the second biggest value in -4/3, 0.2, 11, 40.5?
11
Which is the third biggest value? (a) 4 (b) 11/4 (c) 0
c
Which is the second biggest value? (a) -2 (b) -4/11 (c) 103.3
b
What is the fourth smallest value in -2, -32, 4, 2/13?
4
What is the second smallest value in -4, -0.1, 0, 3?
-0.1
Which is the third smallest value? (a) 11/5 (b) 5/13 (c) -3
a
Which is the third biggest value? (a) 6/11 (b) -4 (c) 4/7 (d) 4
a
What is the fourth smallest value in 0, 2, 2/3, 4/11?
2
Which is the second smallest value? (a) -4 (b) 22 (c) 4 (d) -0.1
d
What is the third smallest value in 2, 4, -2/5?
4
What is the biggest value in -6/17, 5/4, 0.4?
5/4
What is the second biggest value in 4, -11, -0.28?
-0.28
Which is the fourth smallest value? (a) -4 (b) 2/21 (c) -23 (d) -26
b
What is the third biggest value in -2, -0.69, 1/2, 4?
-0.69
Which is the smallest value? (a) 22 (b) 49 (c) 0.5 (d) 1/8
d
Which is the smallest value? (a) -5 (b) 0.19 (c) -0.21 (d) -4/7
a
Which is the biggest value? (a) 0.5 (b) 0 (c) -5 (d) -0.04
a
What is the fifth biggest value in 4, 24, 30, -0.4, -3/5?
-3/5
What is the third smallest value in -0.3, -2/17, 0.12?
0.12
What is the second biggest value in 4, 7, -4, 2/7?
4
What is the smallest value in -1/4, -0.4, 1/7, 30?
-0.4
Which is the second biggest value? (a) 4/11 (b) 1/3 (c) -2/5
b
What is the biggest value in -0.19, 0.4, -2, -3?
0.4
What is the smallest value in -0.5, -2, -3?
-3
What is the third biggest value in -1/9, 14, -1/7, 0.4, 0.1?
0.1
Which is the second smallest value? (a) 0.047 (b) -3 (c) -2/13
c
Which is the third biggest value? (a) -3 (b) 13 (c) 0.2 (d) 0.3
c
What is the second biggest value in -2/19, 0.4, 4/3, 39?
4/3
What is the third smallest value in 5, -3, -0.0914?
5
Which is the smallest value? (a) 0 (b) -14/5 (c) -84
c
Which is the second biggest value? (a) 0.005 (b) -5 (c) 2/13 (d) 1/9 (e) 5
c
What is the third smallest value in 2/3, -0.2, -81?
2/3
What is the second smallest value in 2/25, -2, 1/3?
2/25
What is the third biggest value in -5.1, -1/3, -3/7?
-5.1
Which is the second biggest value? (a) -6 (b) 3 (c) 10
b
Which is the fourth smallest value? (a) 1 (b) 4 (c) -12 (d) 31/3
d
What is the biggest value in -4, -1/86, -5?
-1/86
What is the biggest value in 3, -3, -87?
3
What is the third biggest value in 0.5, -13, -100?
-100
What is the second biggest value in -0.08, -3, 2, 2/3, -4/5?
2/3
Which is the fourth smallest value? (a) 10/3 (b) -2/11 (c) 0.5 (d) 2/27
a
Which is the smallest value? (a) -2/21 (b) 0.11 (c) 2/5 (d) -2/9
d
Which is the biggest value? (a) 60 (b) 1 (c) -10
a
What is the fourth biggest value in 6, 2.2, 1/3, 1?
1/3
What is the third biggest value in -0.5, 0.4, 3/7, 0.16?
0.16
Which is the third smallest value? (a) -3 (b) -1.6 (c) 2
c
Which is the third smallest value? (a) 5 (b) -0.9 (c) -36
a
Which is the smallest value? (a) 1/15 (b) 6 (c) 7/2
a
Which is the second smallest value? (a) -4 (b) 2/3 (c) 0.4 (d) 2/9 (e) 3
d
What is the second smallest value in -0.3, 0.3, -7/15?
-0.3
Which is the second smallest value? (a) 0.3 (b) -107 (c) 13
a
What is the smallest value in -1, -0.05, 0.1?
-1
What is the fourth smallest value in 6/7, -2/5, -0.3, -149?
6/7
What is the smallest value in 0, -1, -0.4, 15.14?
-1
What is the biggest value in -3, 16, -5?
16
What is the third smallest value in 2/5, 1/3, -1/7, -4, 2/11?
2/11
What is the smallest value in -1/5, 2, 52.5, 0?
-1/5
What is the second biggest value in 2/23, -1/4, -1/27?
-1/27
What is the third biggest value in 25, -0.1, -3/2?
-3/2
What is the biggest value in 2/15, -7, -0.4, -3, -21?
2/15
Which is the second smallest value? (a) 1/5 (b) -5 (c) -201/4
b
What is the third biggest value in -0.5, -21/2, -7?
-21/2
What is the fourth smallest value in -6/11, 2/35, -2, -1/3?
2/35
Which is the second biggest value? (a) -0.08 (b) -4 (c) -0.4 (d) -33
c
Which is the third smallest value? (a) 3 (b) 1 (c) -1.5
a
Which is the smallest value? (a) 3 (b) 25 (c) 1/4 (d) 4
c
Which is the smallest value? (a) 0.5 (b) -1/19 (c) 0.02
b
Which is the third smallest value? (a) 0.4 (b) 13/6 (c) 1 (d) -2 (e) 8/7
c
Which is the biggest value? (a) 57 (b) 3/8 (c) -3 (d) 52 (e) -2/13
a
What is the third biggest value in -3/4, 2/9, -2, 7?
-3/4
Which is the smallest value? (a) -4 (b) 2/7 (c) 3 (d) -2/13
a
Which is the third biggest value? (a) 1/6 (b) -0.3 (c) 40/47
b
What is the smallest value in 1/4, 62, 2?
1/4
Which is the fourth biggest value? (a) -3 (b) -2.9 (c) -1/4 (d) 0.3
a
What is the second biggest value in -1/4, -24/13, 0.08?
-1/4
What is the fourth smallest value in 3, 0.02, 0.1, 0.5, -4?
0.5
What is the second biggest value in 1, -0.4, -30/89?
-30/89
What is the second smallest value in 2, 3, -3, 10/9?
10/9
What is the smallest value in 0, 10.3, -2/5, 5?
-2/5
What is the fourth biggest value in -5, -0.07, 3, -59?
-59
What is the second biggest value in 10, 0.06, 2/13, -17?
2/13
What is the smallest value in 7/2, -84, 0.3?
-84
Which is the third biggest value? (a) 1 (b) 0 (c) 899/4
b
What is the third biggest value in 0.1, 0.9, 5, 1/7, -2/45?
1/7
What is the smallest value in -8, -3/5, 0.4?
-8
What is the third smallest value in 1/2, -6, 5?
5
What is the second smallest value in -2/3, -2/5, -0.308?
-2/5
Which is the second smallest value? (a) 0.0557 (b) 4 (c) -3
a
What is the smallest value in 5, -2, 99?
-2
What is the third smallest value in -0.1, -5/4, -3, -3/10?
-3/10
What is the second biggest value in 1, -3, 0.01, 1/5, -2?
1/5
Which is the third smallest value? (a) -1/8 (b) 0.3 (c) 5/2 (d) 2
d
What is the second smallest value in -3/7, 0.2, 70?
0.2
What is the smallest value in -1/12, -3, -347?
-347
What is the second biggest value in 0.4, -3, 24?
0.4
Which is the smallest value? (a) -5 (b) -0.4 (c) -3/13 (d) -2/7
a
Which is the fourth smallest value? (a) -0.5 (b) 2/13 (c) 5 (d) 0.3
c
What is the biggest value in -0.2, -2/9, 61?
61
Which is the smallest value? (a) 4 (b) 13.5 (c) -0.3
c
Which is the third biggest value? (a) -0.08 (b) -0.3 (c) -4
c
What is the fourth biggest value in 2/9, 2, -75, 0.4?
-75
What is the fifth biggest value in 0.5, -31.1, 0.2, -0.2, 6/5?
-31.1
Which is the biggest value? (a) 2/15 (b) -0.9 (c) 1/3
c
Which is the fifth biggest value? (a) -1 (b) 0.5 (c) 1 (d) 2 (e) -5/2
e
What is the second smallest value in -1.8, -0.4, 4?
-0.4
What is the second smallest value in 0.3, -16, 3/4?
0.3
What is the second smallest value in 28, 0, 3/2?
3/2
What is the second biggest value in 34, 2/13, -0.18?
2/13
What is the third biggest value in -54, 0.3, -1, -2?
-2
Which is the third biggest value? (a) -74 (b) 2 (c) -2/5 (d) -104
a
What is the third biggest value in -1, 0.06, 27?
-1
What is the biggest value in -2/71, -50, -1/3?
-2/71
Which is the fourth biggest value? (a) 1 (b) -5 (c) -18 (d) 1/3
c
What is the third smallest value in 4, 0.4, -3/4?
4
Which is the third biggest value? (a) 20 (b) -9/2 (c) 5
b
What is the biggest value in -444, -5, 5?
5
What is the second biggest value in -4, 2/11, -3/8, -2/17?
-2/17
What is the fourth smallest value in 1, 1/4, -1, 9?
9
Which is the third smallest value? (a) 6 (b) 111 (c) -2/11 (d) -4
a
What is the biggest value in 0.04, -2/125, -0.4, -3?
0.04
Which is the second biggest value? (a) 262 (b) 2/11 (c) -4
b
What is the second smallest value in 0.01, 5, 3/7, -2/23?
0
|
{
"pile_set_name": "DM Mathematics"
}
|
*t(q).
-2*q**3 + 5*q
Let y(k) = -38*k - 4. Let u(c) = 25*c + 3. Let p be (-16)/(-40)*(-100)/(-8). Determine p*y(d) + 7*u(d).
-15*d + 1
Let t(g) = 8*g**3 - g - 2. Let c(f) = -54*f**3 + 5*f**2 + 12*f + 10. What is -c(i) - 6*t(i)?
6*i**3 - 5*i**2 - 6*i + 2
Let z(n) = -53*n**3 - 13. Let l(s) = 9*s**3 + 2. Let v be (-89 + 128)/(0 - 1). Give v*l(t) - 6*z(t).
-33*t**3
Let h(b) = 5*b**2 - b. Let m(y) = -423*y**2 + 5*y. Give 6*h(v) - m(v).
453*v**2 - 11*v
Let k(f) = -f**2 - f - 1. Let n(j) = j**2 - 4*j + 7. Calculate -3*k(h) - n(h).
2*h**2 + 7*h - 4
Let q(w) = 18*w**3 - 63*w**3 + 25*w**3 + 31*w**3. Let v(p) = 56*p**3. Determine -22*q(n) + 4*v(n).
-18*n**3
Let n(a) = 2 - a**2 + 5*a**2 + 4. Let o = -70903 + 70909. Let b = -11 - -12. Let p(q) = -q**2 - 1. Calculate b*n(z) + o*p(z).
-2*z**2
Let s(v) = 4*v + 51. Let c(p) = -10*p - 291. Let x(m) = -26*m - 724. Let b(j) = -12*c(j) + 5*x(j). What is -5*b(l) - 12*s(l)?
2*l + 28
Let h(x) be the second derivative of -x**3/6 - x**2/2 + 2*x. Let u(p) be the first derivative of p**3/3 + 3*p**2/2 + 3*p - 1825. Determine 6*h(i) + 2*u(i).
2*i**2
Let l(m) be the second derivative of 5*m**3/3 - 19*m**2/2 + 5173*m. Let g(b) = 5*b - 10. Calculate -7*g(t) + 4*l(t).
5*t - 6
Let o(w) = -15*w + 6. Let j(b) = 8*b - 3. Let i = 2560 + -2555. Determine i*j(r) + 3*o(r).
-5*r + 3
Let o(i) = 3*i**2 + 5*i. Let d be (-50)/100 + 479/(-2). Let k = d - -236. Let m(a) = -2*a**2 - 4*a. Give k*o(r) - 5*m(r).
-2*r**2
Let a(t) = t**2 + 7*t + 4. Let n(k) = -2*k**2 + 120*k - 6. Let x be n(60). Let d(q) = q + 1. Give x*d(h) + a(h).
h**2 + h - 2
Let d(z) = -1 + 0 - 4*z + 0. Let r(j) = 9*j + 2. Let f(u) = -u**3 - 2*u**2 + 7*u + 7. Let x be f(-5). Let g = x + -45. Give g*r(q) + 5*d(q).
-2*q - 1
Let a(f) = 29*f + 4. Let r(y) = 57*y + 9. Suppose -9*o + 7*o = z - 2, z - 3*o + 13 = 0. Determine z*r(h) + 9*a(h).
33*h
Let y(a) = -221*a - 4. Let q(b) = -95*b - 2. Let g(v) = -14*q(v) + 6*y(v). Let l(k) = 11*k + 13. Determine -17*g(m) + 6*l(m).
-2*m + 10
Let z(g) = 8*g + 1. Suppose -7 = 181*q - 174*q. Let b(j) be the second derivative of -j**3/6 - j**2/2 + 6*j. Determine q*z(d) - 3*b(d).
-5*d + 2
Let c(r) = 22*r**2 - 107. Let n(w) = -45*w**2 + 188. What is -9*c(j) - 5*n(j)?
27*j**2 + 23
Let h(q) = 40*q - 8. Let z be (-6)/9*((-231)/22 + 12). Let j(m) = -m - 1. Calculate z*h(o) + 6*j(o).
-46*o + 2
Let l(d) = -3564*d**3 - 3*d + 4. Let q(b) = -7110*b**3 - 7*b + 9. Calculate -9*l(c) + 4*q(c).
3636*c**3 - c
Let v(s) = 2*s + 11. Let h(x) be the third derivative of -x**4/12 - 5*x**3/3 - 2*x**2 - 44*x - 1. Let t be 2 + -2*1 + 4. Give t*h(k) + 3*v(k).
-2*k - 7
Let f(j) = -j**2 + j + 1. Let s(k) = 7*k**2 - 15*k - 8. Let l = -19492 - -19498. What is l*f(o) + s(o)?
o**2 - 9*o - 2
Let o(h) = -h**3 + 3*h**2 - 4*h - 3. Suppose 82*a = 76*a + 378. Let n(r) = 59 - a + 15*r**2 - 5*r - 2*r**3 - 11*r**2. Calculate -3*n(t) + 4*o(t).
2*t**3 - t
Let u(q) = -4736*q + 19. Let h(t) = 4750*t - 14. What is 4*h(f) + 3*u(f)?
4792*f + 1
Let s(w) = -6*w**2 + 1932*w - 24. Let v(b) = -4*b**2 + 1289*b - 15. Determine -5*s(p) + 8*v(p).
-2*p**2 + 652*p
Let s(u) = 2755*u**3 + 10*u**2 + 5. Let f(c) = 2756*c**3 + 12*c**2 + 6. Determine -5*f(y) + 6*s(y).
2750*y**3
Let o(n) = -31*n - 221. Let s(h) = 73*h + 443. Calculate -14*o(u) - 6*s(u).
-4*u + 436
Let v(w) = -38*w - 3. Let h(n) be the third derivative of -19*n**4/12 - n**3/3 + 2447*n**2. Give 3*h(m) - 2*v(m).
-38*m
Let d(q) = -q**3 - q**2 + q. Let m(a) = -4*a**3 + 2 - 5*a**2 + 6*a - a**2 + a**3. Suppose -3*w - 4*v = 9, 22 = w - 183*v + 176*v. What is w*m(p) - 6*d(p)?
3*p**3 + 2
Let f(v) be the second derivative of -2*v**3/3 + 5*v**2/2 - 24*v. Let y(h) = -4 - 4*h + 10*h + 1 - 5. Suppose r = 1 + 7. Give r*f(l) + 5*y(l).
-2*l
Let n(f) = 2*f**3 - 8*f - 10. Let u(w) be the first derivative of w**3/3 + w**2/2 + w + 675. Calculate n(j) + 8*u(j).
2*j**3 + 8*j**2 - 2
Let k(c) = -38*c**2 - 21*c + 34. Let b(j) = 13*j**2 + 7*j - 13. Determine 8*b(w) + 3*k(w).
-10*w**2 - 7*w - 2
Let l(a) = -5*a**2 - 3*a. Let b be (-3)/((-2)/2 - (-1)/(-2)). Let g(u) = -857 + 857 - 28*u - 44*u**b. Determine -3*g(h) + 28*l(h).
-8*h**2
Let w(l) = 5*l**2 - 5*l + 1. Let u = 7378 - 7367. Let v(p) = 9*p**2 - 9*p + 1. Give u*w(x) - 6*v(x).
x**2 - x + 5
Let s(u) = -1581 + u + 3176 + 3*u**3 - 1595 - 5*u. Let v = -2 - -5. Let y(x) = 3*x**3 + 0*x - v*x + 0*x**3. Determine -3*s(n) + 4*y(n).
3*n**3
Let k(f) = -3*f + 4. Let t(v) = v - 1. Let r(p) = p**2 - 6*p. Let y be r(5). Let c be 14*-1 - (-403)/31. What is c*k(d) + y*t(d)?
-2*d + 1
Suppose 5 = 5*n + 10. Let h(v) be the second derivative of v**3/6 - 2*v - 1. Let t(u) = 6 + u - 31 - 6*u + 26. Determine n*t(q) - 4*h(q).
q - 1
Suppose -5*q + 13*q = 56. Let d(x) = -2*x + 18*x + 8*x - 33 + 13*x**2 - q*x. Let m(p) = -3*p**2 - 4*p + 8. Calculate 2*d(a) + 9*m(a).
-a**2 - 2*a + 6
Let v(x) = 7*x + 7. Let k(r) = 15*r + 15. Let c be -24*(-13 - (7 - 5)). Let p = -373 + c. Calculate p*v(o) + 6*k(o).
-o - 1
Let a(h) = h**2 - 3*h - 5. Suppose -6 = -k + 18. Let b be (-2 + (-64)/(-6))*k/2. Let w = b + -99. Let v(m) = 2*m**2 - 5*m - 8. Give w*v(l) - 8*a(l).
2*l**2 - l
Let k(f) be the third derivative of 13*f**5/60 + f**4/12 + f**3 - 1797*f**2. Let d(l) = 7*l**2 + l + 3. Give -11*d(r) + 6*k(r).
r**2 + r + 3
Let w(c) = -30*c - 7. Let u(n) = 15*n + 3. Let p = 4490 + -4504. Give p*u(k) - 6*w(k).
-30*k
Let d(g) = -7*g**2 - 28 + 7*g**2 - 8*g**3 - 28*g**2. Let w(r) = r**3 - 2 + 0*r**2 + 3*r**2 + 3 + 2. Suppose -59*l - 42758 + 41106 = 0. Give l*w(z) - 3*d(z).
-4*z**3
Let n(z) = -3*z**2 + 5*z + 7. Let o = -11 - 11. Let v = o - -12. Let l be 297/55 - 6/v. Let f(d) = 4*d**2 - 6*d - 8. Give l*n(a) + 5*f(a).
2*a**2 + 2
Let b(l) = -7181*l + 32. Let k(n) = -30095570*n + 134120. Determine -16765*b(j) + 4*k(j).
7185*j
Let s(t) = -64*t**2 - 860*t. Let y(o) = -7*o**2 - 96*o. Determine 3*s(r) - 28*y(r).
4*r**2 + 108*r
Let j(c) = 7164*c - 3. Let t(b) = -3585*b + 1. Give -2*j(d) - 5*t(d).
3597*d + 1
Let v(x) = 79*x**3 + 5*x**2 + 3395*x + 3. Let k(i) = -111*i**3 - 7*i**2 - 5092*i - 4. Give 5*k(n) + 7*v(n).
-2*n**3 - 1695*n + 1
Let a(i) = 3*i**3 + i**2 - 9*i - 3. Let y(r) = -r**3 + 4*r + 2. Let o(c) = -a(c) - 2*y(c). Let p(f) = 128*f**3 + 96*f**2 - 96*f + 96. Give -96*o(j) - p(j).
-32*j**3
Let a(y) = -426*y**3 + 63*y**2 + 13*y - 9. Let v(f) = -213*f**3 + 28*f**2 + 6*f - 4. What is 4*a(c) - 9*v(c)?
213*c**3 - 2*c
Let m(b) = 1. Let c(i) = -i - 4. Suppose 13*x - 240 + 266 = 0. Determine x*c(u) - 11*m(u).
2*u - 3
Let w = -19407/2 + 9705. Let z(p) be the first derivative of w*p**2 - 3*p - 33. Let b(q) = -2*q + 2. Determine 4*b(y) + 3*z(y).
y - 1
Let f(i) = -5395*i**2 - 30. Let q(m) = -5395*m**2 - 24. Calculate -4*f(n) + 5*q(n).
-5395*n**2
Let u(d) = 5703*d + 78. Let f(h) = 301*h + 4. Give 39*f(j) - 2*u(j).
333*j
Let r = -12 - -18. Suppose r*c = -4*u + c + 28, 0 = u + 2*c - 7. Let b(o) = -9*o - 3. Let v(d) = -2115*d + 2110*d + 4 - 6. Determine u*v(s) - 4*b(s).
s - 2
Let b(s) = 2159*s - 4. Let w(y) = 1086*y - 2. What is 3*b(t) - 5*w(t)?
1047*t - 2
Let v(f) be the first derivative of 2*f**4 - 2*f**3 + 3*f**2/2 + 2*f - 6602. Let z(n) = -3*n**2 + n + 2*n**2 - 2*n**3 + 3*n**3. Determine -v(s) + 6*z(s).
-2*s**3 + 3*s - 2
Let i(m) = -3*m**2 + 4*m + 9. Let g(q) = -7*q**2 + 9*q - 2. Let j(t) = 10*t**2 - 13*t + 3. Let y(a) = -3*g(a) - 2*j(a). Determine -i(x) - 4*y(x).
-x**2 - 9
Let i = 332762 - 332756. Let b(f) = 8*f**3 - 11*f**2 + 5*f + 6. Let a = -17 - 0. Let p(g) = 23*g**3 - 32*g**2 + 14*g + 17. Give a*b(x) + i*p(x).
2*x**3 - 5*x**2 - x
Let z(b) = b + 1. Let a(f) = -6. Let m be 3/(45/159) - 9/15. What is m*z(y) + 2*a(y)?
10*y - 2
Let a(f) = -5*f**2 - 252*f + 11. Let d(k) = 7*k**2 + 252*k - 14. Determine 4*a(v) + 3*d(v).
v**2 - 252*v + 2
Let v(b) = 33*b + 105. Let j(o) = 34*o + 87. What is 12*j(u) - 11*v(u)?
45*u - 111
Let o(j) = -j + 1. Let c(s) = -3*s + 9. Let b(l) = -40*l - 276. Let d be b(-7). What is d*o(h) - c(h)?
-h - 5
Let k(f) = 5*f**2 + 16*f + 4. Let w = -2 + 5. Let o(u) = -w*u - 6*u**2 - 7*u**2 + 7*u + 1 + 14*u**2. Give -2*k(x) + 9*o(x).
-x**2 + 4*x + 1
Let p(f) = 6*f**3 + 12*f**2 + f - 19. Let g(x) = 6*x**3 + 14*x**2 + 2*x - 22. What is 6*g(o) - 7*p(o)?
-6*o**3 + 5*o + 1
Let j be ((-51)/34)/(1/(-4)). Let s(u) = 3*u**2. Let i(x) = -55*x**2 + 6*x + 6. Let z(w) = -9*w**2 + w + 1. Le
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{
"pile_set_name": "DM Mathematics"
}
|
632*z - 779296 + 4*z**5 - 4672*z**3.
2*(z - 14)**3*(z + 2)*(z + 71)
Let p(o) = o**3 + 39*o**2 + 4*o + 165. Let c be p(-39). Suppose -62 + 26 = -c*l. Factor 72/5 - 24*n + l*n**3 + 2/5*n**4 + 26/5*n**2.
2*(n - 1)**2*(n + 6)**2/5
Let i(t) be the second derivative of t**4/54 - 52*t**3/27 + 68*t**2 - 4903*t. Find g such that i(g) = 0.
18, 34
Let h be (36 - -3)*2/(-3). Let y = -17 - h. Factor -1 - 39*n**2 - 6*n**2 - 10 + 60*n - y.
-5*(3*n - 2)**2
Suppose 2160 + 3/5*f**4 + 366/5*f**3 + 4392*f + 11523/5*f**2 = 0. Calculate f.
-60, -1
Let r = 247777/90 + -2753. Let f(n) be the second derivative of -r*n**6 + 5/36*n**4 + 1/3*n**2 + 2*n + 3/20*n**5 - 1/2*n**3 + 0. Determine s so that f(s) = 0.
-1, 2/7, 1
Let b(o) be the third derivative of 16*o**7/945 + 146*o**6/135 + 5473*o**5/270 + 73*o**4/3 + 12*o**3 - 1337*o**2. Let b(f) = 0. What is f?
-18, -1/4
Let x = -643/1033 - -14557/13429. Factor -20/13*h - x - 12/13*h**3 - 2/13*h**4 - 24/13*h**2.
-2*(h + 1)**3*(h + 3)/13
Let j(a) be the third derivative of -a**5/270 - 5*a**4/108 + 2*a**3/9 - 1067*a**2. Factor j(k).
-2*(k - 1)*(k + 6)/9
Let v(x) be the first derivative of -x**6/48 - 7*x**5/40 + 55*x**4/32 + 271*x**3/24 + 105*x**2/8 - 4505. Solve v(w) = 0 for w.
-10, -3, -1, 0, 7
Let c(n) be the first derivative of n**4 - 28*n**3 + 1686. Factor c(u).
4*u**2*(u - 21)
Let s(v) be the second derivative of -v**5/45 + 8*v**4/27 + 2*v**3/27 - 16*v**2/9 - v - 89. Factor s(p).
-4*(p - 8)*(p - 1)*(p + 1)/9
Let j(b) be the third derivative of 7/12*b**4 + 0 - 1/10*b**6 - 1/21*b**7 + 162*b**2 + 1/15*b**5 - 1/168*b**8 + b**3 + 0*b. Determine q so that j(q) = 0.
-3, -1, 1
Suppose 0 = 4*r + 11 - 23. Let -r*b + 4*b**2 - 452 - 2*b**2 + 436 - b = 0. Calculate b.
-2, 4
Let j(t) = t**3 + 133*t**2 - 248*t + 123. Let d(v) = 2*v**3 + 270*v**2 - 497*v + 246. Let i(p) = -6*d(p) + 14*j(p). Determine n so that i(n) = 0.
-123, 1
Let j be (-2*(-28)/(-12))/(2/15). Let f = -30 - j. Factor 140 + 15*y - f*y**2 - 140.
-5*y*(y - 3)
Let o(c) = -56205*c**2 - 54900*c - 13490. Let y(q) = -18722*q**2 - 18300*q - 4497. Let n(w) = -3*o(w) + 10*y(w). Factor n(j).
-5*(61*j + 30)**2
Let v be (-105)/(-33) + 16/(-88). Factor -12*g - 3*g**3 - 3*g**4 + 2*g**3 - 18*g**2 + g**v - 12*g**3 - 3.
-3*(g + 1)**4
Let u(r) = r**3 + 3*r**2 - 2*r + 13. Let m be u(-4). Factor -30*f**3 + 24 + 9*f**3 + 15*f - m*f**3 - 9*f**3 + 65*f**2 + 5*f**4 - 114.
5*(f - 3)**2*(f - 2)*(f + 1)
Find m such that -59/4*m**3 + 28431/4*m + 216513/2 - 405/4*m**2 - 1/4*m**4 = 0.
-27, 22
Factor -25*r + 38*r**2 + 0 - 53/4*r**3 + 1/4*r**4.
r*(r - 50)*(r - 2)*(r - 1)/4
Let u(b) be the second derivative of b**4/24 - 13*b**3/4 + 19*b**2/2 - 6829*b. Factor u(x).
(x - 38)*(x - 1)/2
Find l such that -8028*l + 2555*l - 374 + 2617*l + 1014 + l**2 + 2692*l = 0.
4, 160
Let 571 - 331 - g**2 + 76*g + 109*g**2 - 4*g**3 + 276*g + 0*g**3 = 0. What is g?
-2, -1, 30
Let m = 8633 - 8628. Let p(o) be the second derivative of 0*o**3 - 17*o + 0*o**2 + 0*o**4 - 1/15*o**6 - 1/10*o**m + 0. Factor p(i).
-2*i**3*(i + 1)
Let w(s) = s**2 + 824*s - 10029. Let d be w(12). Solve -1/6*i**4 - 1/2*i**d + 2*i + 0 + 2/3*i**2 = 0 for i.
-3, -2, 0, 2
Suppose 0 = 3*d + 3, -5*l - d + 0*d = -14. Factor -48 + 15*m - 235*m + m**2 - 19*m**2 + 4*m**2 + 18*m**l.
2*(m - 4)*(m + 3)*(9*m + 2)
Factor -465*y**3 + 468*y**3 - 12 + 51*y**2 + 12 - 54*y.
3*y*(y - 1)*(y + 18)
Let h = 892 + -899. Let x be h - (-8 - -12) - -13. Let -3/2 - 63/8*q**x - 15/2*q**3 + 15/2*q + 75/8*q**4 = 0. Calculate q.
-1, 2/5, 1
Let v(z) be the third derivative of z**8/168 + 8*z**7/105 - 47*z**5/15 - 65*z**4/12 + 50*z**3 - 2*z**2 + 60. Solve v(m) = 0.
-5, -2, 1, 3
Suppose 4*s = -3*s + 56. Let t be (-10)/6 - (s + (-6097)/429). Factor -90/11*l**2 - 48/11*l - 8/11 - t*l**3.
-2*(l + 1)*(5*l + 2)**2/11
Suppose 681*f - 4105 = 91*f + 6515. Factor 0 - 4*k + f*k**2 + 5/4*k**4 + 39/4*k**3.
k*(k + 4)**2*(5*k - 1)/4
Factor -291496352 + 324065040 + 2661336*j - j**3 + 1643*j**2 + 2353*j**2 + 558247904 + 3*j**3.
2*(j + 666)**3
Let n(f) be the second derivative of -3*f**5/5 + 21*f**4/4 - 7*f**3 - 36*f**2 + 163*f. Let n(i) = 0. What is i?
-3/4, 2, 4
Let i(j) = -2*j**3 + 39*j**2 + 96*j + 40. Let v(n) = -2*n**3 + 38*n**2 + 98*n + 38. Let x(f) = -8*i(f) + 6*v(f). Suppose x(p) = 0. Calculate p.
-1, 23
Let b be (-1)/((6/(-21))/(12/21)). Factor -15*l - 10 + 34*l**2 + 43*l**2 - 82*l**b.
-5*(l + 1)*(l + 2)
Factor -76832/15*k - 2/15*k**4 - 1078/5*k**2 - 307328/15 + 196/15*k**3.
-2*(k - 56)**2*(k + 7)**2/15
Let -29/5*w + 0 - 1/5*w**4 + 29/5*w**3 + 1/5*w**2 = 0. What is w?
-1, 0, 1, 29
Suppose -952590*a**2 + 45*a + 952588*a**2 + 263*a - 306 = 0. Calculate a.
1, 153
Let i(c) be the first derivative of 0*c - 235/4*c**4 - 33 - c**5 - 2645/2*c**2 - 2875/3*c**3. Find l such that i(l) = 0.
-23, -1, 0
Determine s, given that -19 - 59*s - 30*s**2 + 3*s**3 - 3*s - 59 - 49*s = 0.
-2, -1, 13
Let m(c) be the third derivative of c**6/180 - c**5/30 - 13*c**4/36 + 5*c**3/3 + 981*c**2. What is t in m(t) = 0?
-3, 1, 5
Let d(p) be the second derivative of 25*p**4/12 - 215*p**3/2 - 695*p**2 + 8531*p. Solve d(i) = 0.
-2, 139/5
Let x be 2 - 0/((-14)/(-4)*48/(-84)). Factor -2/3*u**5 - 14*u**3 - 4*u + 0 - 6*u**4 - 38/3*u**x.
-2*u*(u + 1)**3*(u + 6)/3
Suppose 9*w - 37 = 53. Factor w*g**3 - 3*g + 6*g**4 + g - g**3 - 6*g + 5*g**3.
2*g*(g + 1)*(g + 2)*(3*g - 2)
Let n(a) be the third derivative of 0*a - 40*a**2 + 5/2*a**4 - 10/3*a**3 - 5/24*a**6 + 0 - 1/4*a**5. Let n(m) = 0. Calculate m.
-2, 2/5, 1
Let m(y) be the third derivative of 3/40*y**6 + 83*y**2 + 3*y**3 - 1/4*y**4 - 9/40*y**5 + 0*y - 1/140*y**7 + 0. Find i, given that m(i) = 0.
-1, 2, 3
Let r(s) be the third derivative of -s**6/360 + 7*s**5/120 - s**4/4 - 52*s**3 - 59*s**2 - 1. Let i(m) be the first derivative of r(m). Factor i(f).
-(f - 6)*(f - 1)
Factor 4/7*n**5 + 6096/7 + 6112/7*n**4 + 3484*n + 36592/7*n**2 + 24408/7*n**3.
4*(n + 1)**4*(n + 1524)/7
Let z(b) be the second derivative of b**4/3 - 680*b**3/3 + 1352*b**2 + b + 3517. What is o in z(o) = 0?
2, 338
Suppose -m + 69 = 67. Factor 8*j - 6*j + 16 - 14*j - 4*j + 4*j**m.
4*(j - 2)**2
Suppose -3*n + 41 + 16 = 0. Let a(b) = b**3 - 21*b**2 + 35*b + 59. Let d be a(n). Let 1 - 9/2*v**d - 7/2*v = 0. What is v?
-1, 2/9
Let m(z) be the second derivative of -z**9/6048 + z**8/3360 + z**7/1680 - z**6/720 + 25*z**3/3 + 83*z. Let n(b) be the second derivative of m(b). Factor n(f).
-f**2*(f - 1)**2*(f + 1)/2
Let p be (-64)/(-55)*(-530)/(-424). Let q(k) be the first derivative of p*k - 7 - 12/11*k**2 + 4/11*k**3 - 1/22*k**4. What is x in q(x) = 0?
2
Suppose 21*k = 20*k + 4*o - 13, -k + 2*o - 5 = 0. Suppose 0 = 19*w - 15*w + 4*c, k*w + c - 4 = 0. What is x in -16/17*x + 2/17*x**w + 24/17 = 0?
2, 6
Let w be (9/(-12))/(-18 - (-3366)/192). Let s(y) be the first derivative of 0*y**2 + 2/15*y**3 + 4 - w*y. Factor s(j).
2*(j - 2)*(j + 2)/5
Let d(l) be the first derivative of -2/5*l**3 + 3/20*l**4 - 9/10*l**2 + 0*l + 59. Factor d(w).
3*w*(w - 3)*(w + 1)/5
Let y(p) = 155*p**2 - 57*p + 102. Let k(n) = -49*n**2 + 19*n - 34. Let x(d) = 19*k(d) + 6*y(d). Suppose x(h) = 0. What is h?
2, 17
Let n(d) = -2*d + 18. Let z be 0 + 25/(-5) - -13. Let w be n(z). Factor 0 + 1/3*g**3 - 2/3*g**4 + 2/3*g**w - 1/3*g.
-g*(g - 1)*(g + 1)*(2*g - 1)/3
Suppose 0 = m - 3*w + 2, 5*m = -2*w + 41. Suppose 0 = 4*x - 16, -10 = -3*p - 3*x + 2*x. Suppose 3*l - l + p*l**2 - m + 5 - 10 = 0. What is l?
-3, 2
Suppose u = 3, -3*v = v - u + 23. Let p be 3/12*0/v. Factor p - 8/5*t**3 + 4/5*t**2 + 4/5*t**4 + 0*t.
4*t**2*(t - 1)**2/5
Let l(u) be the second derivative of -7*u**4/3 + 1030*u**3/3 + 444*u**2 - 5953*u. Factor l(d).
-4*(d - 74)*(7*d + 3)
Let q = -820 - 1072. Let l be q/(-3366) + 2/(-17). Solve 2/3*u + 4/9 - l*u**3 - 2/3*u**2 = 0.
-2, -1/2, 1
Let b(s) = 14*s - 2. Let m be b(23). Let o be ((-16)/(m/6))/((-12)/5). Factor 0*k + 0 + 1/8*k**4 - o*k**2 + 0*k**3.
k**2*(k - 1)*(k + 1)/8
Suppose 0 = 173*n - 169*n - 0 - 8. Let b(a) be the second derivative of -1/21*a**4 + 3*a - 4/7*a**3 + 0 - 18/7*a**n. Solve b(u) = 0.
-3
Let m(d) be the third derivative of 3/11*d**4 - 1/330*d**5 + 0 - 108/11*d**3 + 11*d**2 + 0*d. Factor m(i).
-2*(i - 18)**2/11
Suppose -32*w + 463 + 471 = 838. Let j(b) be the first derivative of 15 - 4/3*b**w - 256*b + 32*b**2. Factor j(v).
-4*(v - 8)**2
Let q
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{
"pile_set_name": "DM Mathematics"
}
|
**4
Let k(x) = 3*x + x - 3*x. Let y(a) = 39*a - 62*a + 37*a. Calculate k(y(t)).
14*t
Let y(d) = -5*d + 0*d - 6*d + 4*d. Let z(j) = 6*j. Determine y(z(a)).
-42*a
Let q(m) = 3*m**2. Let o(d) = -d. Suppose -10 + 0 = -5*i - g, -7 = i + 2*g. Suppose 8*x - i*x - 25 = 0. Let s(f) = -6*f. Let c(t) = x*o(t) - s(t). Give q(c(r)).
3*r**2
Let w(h) = h**2 + 27. Let m(b) = 3*b**2. Determine m(w(g)).
3*g**4 + 162*g**2 + 2187
Let a(d) be the first derivative of 8*d**3/3 + 57. Let p(g) = -6*g. What is a(p(s))?
288*s**2
Let a(p) = -2085*p**2. Let i(d) = -2*d**2. Calculate a(i(u)).
-8340*u**4
Let f(w) = 1799*w**2. Let r(l) = -l. What is f(r(t))?
1799*t**2
Let h(x) = 33*x. Let r(j) = 3*j**2 - 11. Calculate r(h(a)).
3267*a**2 - 11
Let v(c) = 22*c**2. Let a(y) be the first derivative of y**2 + 16. What is a(v(n))?
44*n**2
Let a(t) = -26422*t**2. Let z(m) = -m. Give a(z(p)).
-26422*p**2
Let i(t) be the first derivative of -2*t**3/3 - 1. Let q(m) = 2*m - 3. Let b(o) = 3*o - 5. Let z(d) = 3*b(d) - 5*q(d). Calculate z(i(p)).
2*p**2
Let w(q) = -q. Suppose -5*u = -9 - 1. Let x(p) be the first derivative of 1/2*p**u + 1 + 0*p. Give w(x(r)).
-r
Suppose 4*h = 9 - 1. Let q(t) = -h*t - 19 + 19. Let p(f) = -2*f**2. Determine q(p(y)).
4*y**2
Suppose 4*g + w = 21 - 8, -3*w = -3*g + 21. Let x(f) = 0 - 3*f + g*f + 0. Let u(s) = -11*s. What is x(u(t))?
-11*t
Suppose -3*a - 2*q - 1 = -3, 3*a - 2*q = 22. Suppose -a*r + r + 39 = 0. Let x(f) = 4*f + r - 13. Let d(w) = -w. What is x(d(h))?
-4*h
Let p(s) = -236*s**2. Let w(c) = -16*c**2. Calculate p(w(l)).
-60416*l**4
Let s(m) = 19*m**2. Let w(o) = -23*o. What is s(w(n))?
10051*n**2
Let v(j) = -482*j**2. Let o(a) = -2*a. What is o(v(p))?
964*p**2
Let p = 8 + -4. Let q(b) = -p*b**2 + b**2 + 3*b**2 - 2*b**2. Let l(m) = -4*m**2. Determine l(q(k)).
-16*k**4
Let s(z) = z + 463. Let v(h) = -2*h. Determine s(v(i)).
-2*i + 463
Let f(g) = 2*g - 1146. Let l(p) = 2*p**2. What is f(l(b))?
4*b**2 - 1146
Let t(p) = 6*p. Let l(n) = -2*n. Let i(c) = 10*l(c) + 3*t(c). Let v(k) be the second derivative of -1/3*k**3 + 0 + 0*k**2 + 2*k. Give i(v(h)).
4*h
Let o(v) = v. Let d(x) = -2*x. Let a(r) = -3*d(r) - 4*o(r). Let n(s) be the first derivative of s**2/2 + 1. Determine n(a(g)).
2*g
Let j(k) be the second derivative of -k**4/12 + 27*k. Let p(n) = -20*n**2. Determine j(p(w)).
-400*w**4
Let k(o) = -4*o**2 + 4*o. Let a(l) = 7*l**2. Determine k(a(x)).
-196*x**4 + 28*x**2
Let a(f) = f**2. Let s be 24/16 - 3/2. Let c(j) be the second derivative of 0*j**2 + 3*j + 1/6*j**3 + s. Give a(c(m)).
m**2
Let k(o) = 2*o + 681. Let r(t) = -t**2. Calculate k(r(h)).
-2*h**2 + 681
Let c(h) = -6*h + 7*h + 0*h. Let m(q) = -2*q. Determine m(c(p)).
-2*p
Let v(o) = o**2 + o + 1. Let b(j) = -5*j**2 - 4*j - 4. Let g(x) = -b(x) - 4*v(x). Let u(f) be the third derivative of f**5/10 + 2*f**2. Give u(g(t)).
6*t**4
Let o = -2 + 6. Let w(c) = 4 + c - o. Let r(s) be the first derivative of -s**2/2 - 1. Determine w(r(k)).
-k
Let l(w) = 13*w**2 + 76*w. Let b(n) = n**2. What is l(b(g))?
13*g**4 + 76*g**2
Let w(g) = 2*g. Let s(c) = 2*c**2 - 178*c - 5. Determine w(s(m)).
4*m**2 - 356*m - 10
Let i(a) = -2*a - 383. Let m(f) = f. Calculate m(i(p)).
-2*p - 383
Let u(f) = 10*f**2 + 5*f + 5*f - 6*f**2. Let q(a) = a**2. Determine q(u(r)).
16*r**4 + 80*r**3 + 100*r**2
Let q(g) be the second derivative of -g**3 + 3*g. Let y(l) = l - 6. Let i = 3 - 10. Let a(h) = -h + 7. Let z(t) = i*y(t) - 6*a(t). Determine z(q(o)).
6*o
Let r(w) = -4*w. Suppose -2 - 8 = -2*l. Let i = l - 5. Let s(x) = -x + 0 + i + 0. Calculate r(s(z)).
4*z
Let z(b) = -2*b**2. Let r(u) = -u**2 + 7*u + 6. Let j be r(7). Suppose -15 = s - j*s - 5*c, -3*c = -3. Let p(d) = -4*d**2 + s*d**2 + 0*d**2. Give z(p(y)).
-8*y**4
Let c(s) = 5*s. Let r(w) = -66*w. Let f(m) = -27*c(m) - 2*r(m). Let o(v) = v - 4. Let j be o(4). Let n(l) = 0*l + j*l + 2*l**2. Calculate f(n(x)).
-6*x**2
Let f(a) = -3*a**2. Let s(c) = -82*c. Determine f(s(h)).
-20172*h**2
Let k(z) = -5*z**2. Let c be (-3)/(4 + 15/(-3)). Let l(s) be the first derivative of 0*s - 1 + 2/3*s**c + 0*s**2. What is l(k(f))?
50*f**4
Let t(x) be the third derivative of -x**4/24 + 6*x**2. Let w(m) = 12*m**2. Determine w(t(l)).
12*l**2
Suppose -2*k = d - 5, 4*k - 4*d = 5 - 1. Let n(o) = -o**2 + k*o**2 + 3*o**2. Let r(h) = -3*h - 5*h + 4*h + 5*h. What is n(r(y))?
4*y**2
Let k(q) = 2*q**2. Suppose -3*y + 3*o + 9 = 0, 24 = 6*y - 2*y + 2*o. Let s(z) = -6*z - y*z - 5*z + 2*z. Give s(k(p)).
-28*p**2
Let z(l) = -8*l**2 + 2. Let q(m) = -9*m**2 + 3. Let b(d) = 2*q(d) - 3*z(d). Let k(i) = -6*i**2. Calculate b(k(a)).
216*a**4
Let f(j) = 40*j. Let h(g) = -7*g. What is f(h(t))?
-280*t
Let w(v) = v**2 - 4. Let i(g) = 2*g**2. What is w(i(d))?
4*d**4 - 4
Let n(r) = 30*r. Let w(y) = -27*y - 1. Calculate n(w(u)).
-810*u - 30
Let i(m) = -2*m. Let f(r) be the second derivative of 7*r**3 + 3*r + 5. Determine i(f(w)).
-84*w
Let y(f) = -3*f - 6. Suppose 2*v + v - 6 = 0. Let s(x) = 0 + v*x + 9 - 4. Let c(k) = 6*s(k) + 5*y(k). Let h(z) = z**2. Calculate h(c(l)).
9*l**2
Let z(g) = g**2 - 3. Let n(k) = 2. Let h(w) = -3*n(w) - 2*z(w). Let l(q) be the first derivative of -5*q**3/3 - 20. What is h(l(m))?
-50*m**4
Let r(f) = -7*f**2. Let x(z) = -2*z**2. Calculate r(x(p)).
-28*p**4
Suppose -30 = 2*q - 7*q. Let d(y) = q*y**2 - y**2 - 3*y**2 + y**2. Let n(v) = 0 + 2*v + 0. What is d(n(c))?
12*c**2
Let i(q) = 2*q. Let v(z) = 4*z + 2. Let y(x) = -3*x - 3. Let m(u) = 6*v(u) + 4*y(u). Calculate m(i(g)).
24*g
Let t(r) = -11*r. Let o(c) = 5*c + 11. Let k(q) = q + 2. Let n(b) = 33*k(b) - 6*o(b). Give t(n(j)).
-33*j
Let b(v) = 4*v. Let l(t) be the second derivative of t**4/3 - 13*t. Give b(l(m)).
16*m**2
Let b(d) = 40*d - 2. Let o(f) = 6*f**2. Give o(b(g)).
9600*g**2 - 960*g + 24
Let c(h) = 59*h. Let j(x) = 5*x**2. Calculate c(j(l)).
295*l**2
Let a(j) = -185*j**2. Let i(m) = m**2. Calculate i(a(p)).
34225*p**4
Let d(a) = 2*a. Let p(u) = u**2 - 472*u. Give p(d(w)).
4*w**2 - 944*w
Let x(g) = 2*g - 4. Let j(b) = 31*b. What is j(x(f))?
62*f - 124
Let i(a) = 9*a**2 + 14. Let m(x) = 2*x**2. Give m(i(z)).
162*z**4 + 504*z**2 + 392
Let m(o) = o. Let f = -15 - -28. Let d(c) = 4*c - 13 + f. Determine m(d(j)).
4*j
Let n(c) = 27*c - 59*c + 31*c. Let l(g) = g + 3. Let t(w) = w + 1. Let a(i) = l(i) - 3*t(i). Determine a(n(k)).
2*k
Let q(j) be the first derivative of j**3 + 3. Let w(g) be the first derivative of 1 + 0*g + 0*g**2 + 1/3*g**3. What is w(q(f))?
9*f**4
Let g(w) = -13*w - 18*w + 14*w. Let j(h) = h. Calculate j(g(l)).
-17*l
Let a(x) = x. Let c(i) = 5*i - 9*i - 8*i - 3*i. Calculate a(c(l)).
-15*l
Let j = 3 - -3. Let x(t) = 6 + 0*t**2 + 5*t**2 - j. Let p(o) = o. Give x(p(a)).
5*a**2
Let g(l) = -l**2. Let m be 1/3 + 28/6. Suppose 5*s + m*u - 25 = 0, -s - 4*s = -u - 7. Let t(f) = -3*f**2 + f**s - 2*f**2. Calculate g(t(d)).
-16*d**4
Let n(t) = -26*t. Let s(a) = -123*a. Determine n(s(k)).
3198*k
Let p(u) = -7*u**2. Let b(m) be the first derivative of m**2 - 8. Calculate b(p(k)).
-14*k**2
Let g(p) = -2*p. Let z(v) = 1736*v. What is g(z(d))?
-3472*d
Let k(t) = 5*t**2. Let x(i) = -i + 423. Calculate x(k(v)).
-5*v**2 + 423
Let r(f) = -17*f. Let y(q) = 4*q**2 - 4*q**2 - 3*q**2. Determine y(r(h)).
-867*h**2
Let o(u) = -1042*u + 1. Let z(d) = -d. What is z(o(w))?
1042*w - 1
Let u(o) be the third derivative of 0*o**3 + 1/30*o**5 + 0 + 0*o**4 + 0*o + 2*o**2. Let s(n) = 0*n**2 - 4*n**2 + 3*n**2. Give u(s(t)).
2*t**4
Let g(v) be the first derivative of 2*v**3/3 - 27. Let z(c) = c - 1 + 1. Give g(z(f)).
2*f**2
Let j(n) be the third derivative of n**8/10080 - n**5/15 - 4*n**2. Let p(k) be the third derivative of j(k). Let d(r) = 2*r**2. Calculate d(p(t)).
8*t**4
Let b(k) be the third derivative of 0*k + 0 - 2*k**2 - 1/12*k**4 + 0*k**3. Let d(w) = -w**2. Calculate b(d(a)).
2*a**2
Let t(i) = -2*i**2. Let w(l) = 183*l**2. Calculate t(w(k)).
-66978*k**4
Let y(p) = -p. Let o(r) = 17*r + 7. Let a(u) = -17*u - 6. Let n(s) = 7*a(s) + 6*o(s). Calculate n(y(l)).
17*l
Let o(r) = -r. Suppose k - 2*u = -4, 5 = -3*k + k + 3*u. Let w be (3*4/3)/k. Let m(h) = -2*h. Let y(p) = 4*p. Let d(f) = w*y(f) + 5*m(f). Determine o(d(j)).
2*j
Suppose a + 5*f + 9 - 31 = 0, 16 = 4*a - 4*f. Suppose -5*p = 3*o - 40, 5*o - 3 - a = 3*p. Let k(n) = n - p*n + n. Let w(r) = -r. What is w(k(b))?
3*b
|
{
"pile_set_name": "DM Mathematics"
}
|
.1, 7/10
Put -2/7, -2, 1/3, 0.5 in descending order.
0.5, 1/3, -2/7, -2
Sort 1, 2, -49, -6 in descending order.
2, 1, -6, -49
Put -59, 3, 1, 2, -5 in ascending order.
-59, -5, 1, 2, 3
Put 1/115, -1, -2 in descending order.
1/115, -1, -2
Sort -7, 3, -3, 2, -10 in descending order.
3, 2, -3, -7, -10
Sort 5, 2, 4, -2/11 in decreasing order.
5, 4, 2, -2/11
Put 2, -0.06, 4, 11 in descending order.
11, 4, 2, -0.06
Put -1, 4, 37 in increasing order.
-1, 4, 37
Sort 2/9, -4/7, 1 in descending order.
1, 2/9, -4/7
Put -1/2, -32, 14, -3/5, 0.3 in increasing order.
-32, -3/5, -1/2, 0.3, 14
Put 10, 8, -1 in decreasing order.
10, 8, -1
Sort 4, -0.2, 1.4.
-0.2, 1.4, 4
Put -16/7, -2/17, 21, -0.4 in increasing order.
-16/7, -0.4, -2/17, 21
Sort 10, 2, -2, 5, -78 in decreasing order.
10, 5, 2, -2, -78
Sort -2, 4, 5, -15 in decreasing order.
5, 4, -2, -15
Put -0.04, -0.064, 4 in ascending order.
-0.064, -0.04, 4
Sort 25, -8, 0.4 in descending order.
25, 0.4, -8
Sort 5, -1/3, 136.
-1/3, 5, 136
Sort -2/19, 55, -3/7, 1 in descending order.
55, 1, -2/19, -3/7
Sort 11, 71, -1 in descending order.
71, 11, -1
Put -2, 1, -5, 4, 105 in decreasing order.
105, 4, 1, -2, -5
Sort 4, 1, -3, 3, -8 in increasing order.
-8, -3, 1, 3, 4
Sort -208, -1, 2/5, -0.21.
-208, -1, -0.21, 2/5
Sort -22, 4, 5, -5 in descending order.
5, 4, -5, -22
Sort 4, -3/7, 3/5, -2, -28.8 in descending order.
4, 3/5, -3/7, -2, -28.8
Sort 2, -3, 420 in descending order.
420, 2, -3
Sort 1, -3/5, -0.5, 4/41 in ascending order.
-3/5, -0.5, 4/41, 1
Sort -63, 1, -4.
-63, -4, 1
Put -52, -2, 3, 0 in decreasing order.
3, 0, -2, -52
Sort 3, -1167, -5 in ascending order.
-1167, -5, 3
Sort -16, 2/7, -2/7.
-16, -2/7, 2/7
Sort -7, -2, -12, 0.08 in increasing order.
-12, -7, -2, 0.08
Sort -2/3, -0.9, -4, 3 in decreasing order.
3, -2/3, -0.9, -4
Sort 63, 1, -5 in descending order.
63, 1, -5
Sort -1, 4, 139 in ascending order.
-1, 4, 139
Sort 3, -206, 2, -2.
-206, -2, 2, 3
Sort 5, -5, -3, -24 in increasing order.
-24, -5, -3, 5
Sort 6, 5, -16 in descending order.
6, 5, -16
Put 19, -533, -4 in increasing order.
-533, -4, 19
Put 4, -44/5, -0.2 in ascending order.
-44/5, -0.2, 4
Sort 5, -1, -32, -5.
-32, -5, -1, 5
Sort 1/6, -1/4, -3/5, 0.07.
-3/5, -1/4, 0.07, 1/6
Put 16, 6, 4, 3 in decreasing order.
16, 6, 4, 3
Put 4, 90, -3, 28 in descending order.
90, 28, 4, -3
Put 1, -4, -117 in descending order.
1, -4, -117
Sort 1, -21, -2 in increasing order.
-21, -2, 1
Sort 0, -2, 62, -3 in ascending order.
-3, -2, 0, 62
Sort -4/9, 40, -4, 0 in increasing order.
-4, -4/9, 0, 40
Put -2/11, -4, 1/36 in ascending order.
-4, -2/11, 1/36
Sort 3, -928, -4 in decreasing order.
3, -4, -928
Put 5, 0.2, 35, -32 in ascending order.
-32, 0.2, 5, 35
Put 7, 4, 2, -7 in ascending order.
-7, 2, 4, 7
Put -5, -4/3, 23 in increasing order.
-5, -4/3, 23
Sort -29, -2, 0, -1, 4 in descending order.
4, 0, -1, -2, -29
Sort -5, -23, 164 in decreasing order.
164, -5, -23
Sort -4, -85, 3, 11 in decreasing order.
11, 3, -4, -85
Put -128/7, 1, 4 in ascending order.
-128/7, 1, 4
Put 5, -26, 27, 0 in increasing order.
-26, 0, 5, 27
Put -4, -2/11, -17/6 in decreasing order.
-2/11, -17/6, -4
Sort -0.6, -1, 5, 9 in descending order.
9, 5, -0.6, -1
Sort -9, 2/5, 5, -2/21, 1/3 in increasing order.
-9, -2/21, 1/3, 2/5, 5
Put 1, 2/7, -0.21 in ascending order.
-0.21, 2/7, 1
Sort 0, -1, 4, -2, -88 in descending order.
4, 0, -1, -2, -88
Sort -2, 305/3, 0.2 in descending order.
305/3, 0.2, -2
Put -4, 5, 22, -3 in descending order.
22, 5, -3, -4
Sort 0.398, 0.5, -1, 2.
-1, 0.398, 0.5, 2
Put 0.3, -5, -0.24, -0.02 in increasing order.
-5, -0.24, -0.02, 0.3
Sort 3, 2, -3, 11 in decreasing order.
11, 3, 2, -3
Sort 1/9, -62, -4/11.
-62, -4/11, 1/9
Sort 26, 1, -5, -1 in decreasing order.
26, 1, -1, -5
Sort -1/7, -3/5, -5/4, 0.2 in decreasing order.
0.2, -1/7, -3/5, -5/4
Sort 3, 9, -1, -10, -3 in increasing order.
-10, -3, -1, 3, 9
Put -35.6, -4, -0.6 in decreasing order.
-0.6, -4, -35.6
Put 0, 2, -1, 7, 1 in increasing order.
-1, 0, 1, 2, 7
Sort -3, -1/3, -116 in increasing order.
-116, -3, -1/3
Sort 4, 0, -2, 2633 in decreasing order.
2633, 4, 0, -2
Sort -21, 2, -9 in descending order.
2, -9, -21
Sort -4, -2, 16, 4, -1.
-4, -2, -1, 4, 16
Sort 2, -7, 4, 1 in increasing order.
-7, 1, 2, 4
Sort 4, -1, 88, -5 in descending order.
88, 4, -1, -5
Sort -68, 3, -1, 2, 4.
-68, -1, 2, 3, 4
Put -3, 3, 55, 0 in descending order.
55, 3, 0, -3
Sort 0, 0.7, -5, 0.4 in descending order.
0.7, 0.4, 0, -5
Put 0, 19, -3 in decreasing order.
19, 0, -3
Put 150, -9, 4 in increasing order.
-9, 4, 150
Sort 3, 4, 5, -8, -2/9 in increasing order.
-8, -2/9, 3, 4, 5
Put -0.062, -4, 2, -1, -1/4 in ascending order.
-4, -1, -1/4, -0.062, 2
Put 2, -2, -12377 in increasing order.
-12377, -2, 2
Put -5, 0.2, -2, -55 in decreasing order.
0.2, -2, -5, -55
Sort 0.5, 3, 0.3, 63 in increasing order.
0.3, 0.5, 3, 63
Sort 825, 1, 4 in descending order.
825, 4, 1
Sort -2, -13, 0 in descending order.
0, -2, -13
Sort -3, 3, 0, -2021 in decreasing order.
3, 0, -3, -2021
Sort -4, 2, -0.1, -1.3 in decreasing order.
2, -0.1, -1.3, -4
Sort -29, -0.3, 5/16 in descending order.
5/16, -0.3, -29
Sort 4, -11, 13, -3 in descending order.
13, 4, -3, -11
Sort -87, 0, 5.
-87, 0, 5
Put -3, 2, 1291 in descending order.
1291, 2, -3
Put 68/5, 1, 3, -6/5 in increasing order.
-6/5, 1, 3, 68/5
Put 5, 0, 7, 2 in ascending order.
0, 2, 5, 7
Sort 15/2, 1/4, -5, 5, 0.3.
-5, 1/4, 0.3, 5, 15/2
Sort -1, 12, 4 in decreasing order.
12, 4, -1
Put -2/5, -9/41, -3/2 in descending order.
-9/41, -2/5, -3/2
Sort -9, -5, 9, 0 in ascending order.
-9, -5, 0, 9
Put -8/3, 2/11, 0.04 in increasing order.
-8/3, 0.04, 2/11
Sort 905, 0.5, 1/6, -3.
-3, 1/6, 0.5, 905
Put -1, 3, 4, 319 in decreasing order.
319, 4, 3, -1
Put -5, -1/4, 30, 4, 3/2 in increasing order.
-5, -1/4, 3/2, 4, 30
Sort -4, -0.5, 33 in descending order.
33, -0.5, -4
Put -2, -3, 170, -5 in decreasing order.
170, -2, -3, -5
Sort 13, 0.1, 78, 0.5.
0.1, 0.5, 13, 78
Put 4, -2543, 3, 5, -5 in decreasing order.
5, 4, 3, -5, -2543
Sort -3, -2/7, 1/11 in ascending order.
-3, -2/7, 1/11
Sort 5, 4, -27, 1, -5 in decreasing order.
5, 4, 1, -5, -27
Put -2, 6, -7 in increasing order.
-7, -2, 6
Put 3, -1, -0.1 in decreasing order.
3, -0.1, -1
Sort 2795, 0, -1 in decreasing order.
2795, 0, -1
Sort 3/11, -0.4, 32 in descending order.
32, 3/11, -0.4
Sort 0, -1/3, 3, 1/21, 4 in decreasing order.
4, 3, 1/21, 0, -1/3
Put -6, 4, -4, 17 in descending order.
17, 4, -4, -6
Put 2, 1129, -3 in descending order.
1129, 2, -3
Put -2, 129, 5 in ascending order.
-2, 5, 129
Sort 0.27, -0.1, 3, -0.2.
-0.2, -0.1, 0.27, 3
Sort -5.5, 2, -2 in ascending order.
-5.5, -2, 2
Sort -4, 56, -5, -1/11 in ascending order.
-5, -4, -1/11, 56
Put -0.048, 2/17, 4, 2/3 in ascending order.
-0.048, 2/17, 2/3, 4
Put -1, -5, 2, -12 in increasing order.
-12, -5, -1, 2
Put -2/691, 2/7, 1 in descending order.
1, 2/7, -2/691
Sort -31, 0, -5 in decreasing order.
0, -5, -31
Put 4, 1, 0.1, 104, -0.4 in increasing order.
-0.4, 0.1, 1, 4, 104
Sort 3, -2, -130.
-130, -2, 3
Sort -2/107, -3, 5, -3/2 in decreasing order.
5, -2/107, -3/2, -3
Put -5, -1/3, 2/17, -2/3 in descending order.
2/17, -1/3, -2/3, -5
Sort -1, 1, 1747 in increasing order.
-1, 1, 1747
Sort -5/3, 5, 0.02, -3/4 in decreasing order.
5, 0.02, -3/4, -5/3
Put 5, -11, 0, -1 in descending order.
5, 0, -1, -11
Sort 5, 93, -3 in increasing order.
-3, 5, 93
Sort -4, -2.2, -0.664 in decreasing order.
-0.664, -2.2, -4
Put -35, 0.5, 5 in ascending order.
-35, 0.5, 5
Sort -0.4, 3, 5, 37/5.
-0.4, 3, 5, 37/5
Put 95, 2/3, 1 in decreasing order.
95, 1, 2/3
Sort 3/5, 9, 2.6, 2.
3/5, 2, 2.6, 9
Put -3/7, -3, -5, -0.1113 in decreasing order.
-0.1113, -3/7, -3, -5
Sort -1/8, 0.2, -6, 2/3, 0.06 in decreasing order.
2/3, 0.2, 0.06, -1/8, -6
Sort -46, 10, 4.
-46, 4, 10
Sort 2, -3, -1, -7, 5 in descending order.
5, 2, -1, -3, -7
Sort 19, -2, 5, -8 in descending order.
19, 5, -2, -8
Sort 4, 0.5, 26 in decreasing order.
26, 4, 0.5
Sort -5, -2, 5, -9, 0.04 in ascending order.
-9, -5, -2, 0.04, 5
Put 0, -2, 56, 3, -4 in increasing order.
-4, -2, 0, 3, 56
Sort 1, -35, 10, 2, -3 in decreasing order.
10, 2, 1, -3, -35
Put -682, 0.5, 0.8 in decreasing order.
0.8, 0.5, -682
Put 3, 4, 0.023, 2 in descending order.
4, 3, 2, 0.023
Put
|
{
"pile_set_name": "DM Mathematics"
}
|
i) wrt i.
8
Suppose -g = -2*g + 6. Find the third derivative of 5*t**2 - 4*t + 5*t - t + 3*t**g wrt t.
360*t**3
Let v(k) = 3*k + 3 - 6*k**2 - 3*k + 2*k. Let r(f) = -7*f**2 + 3*f + 3. Let w(b) = 2*r(b) - 3*v(b). Differentiate w(y) wrt y.
8*y
Let y(w) be the second derivative of -w**7/21 + 2*w**4/3 + 8*w. Find the third derivative of y(c) wrt c.
-120*c**2
Let g = -2 + 5. Find the third derivative of 3*o**6 + o**2 + 10*o**g - 10*o**3 wrt o.
360*o**3
Let w = 10 - 7. Let d(v) = 2*v - 3. Let o be d(w). Find the first derivative of -3*g**3 + 2*g**3 + 4*g**o - 2 wrt g.
9*g**2
Let j(p) be the first derivative of -p**8/840 + p**6/360 - 2*p**3/3 - 1. Let n(l) be the third derivative of j(l). Find the third derivative of n(k) wrt k.
-48*k
What is the third derivative of -8*z**6 + z**2 + 2*z**6 + 4*z**2 wrt z?
-720*z**3
Let t(a) = 4*a**2 + 4*a. Suppose -o + 1 = -0. Let y(s) = -s + 3*s**2 - 4*s**2 + 0*s**2. Let z(r) = o*t(r) + 2*y(r). Find the second derivative of z(q) wrt q.
4
Find the second derivative of -1 + 8*i - 30*i**2 + 3*i**2 + 9*i**2 - 26*i**2 wrt i.
-88
Find the second derivative of 7*l - 9*l**2 - 7*l - 18*l - 3*l**5 wrt l.
-60*l**3 - 18
Let j(d) be the first derivative of d**8/14 - d**4/6 - 2*d - 2. Let r(m) be the first derivative of j(m). Find the third derivative of r(w) wrt w.
480*w**3
Let r = 11 - 7. What is the third derivative of -r*g**5 - 4*g**5 - 4*g**2 + 8*g**5 + g**6 wrt g?
120*g**3
Let p be (2 - -1)/(3/7). Let c be (1 - p)/((-2)/1). What is the derivative of 1 - x**3 + 0*x**c + 2*x**3 wrt x?
3*x**2
Let c(x) be the third derivative of 7*x**5/60 + 5*x**3/3 - 5*x**2. Find the first derivative of c(g) wrt g.
14*g
Suppose -b - 5*f + 2 = -11, 5*b - 2*f + 43 = 0. Let v = -1 - b. What is the third derivative of k**6 + 3*k**v - 7*k**2 + 5*k**2 wrt k?
480*k**3
Suppose 0 = -13*d + 10*d. Let z(f) be the first derivative of 4 + d*f + 4/3*f**3 + 0*f**4 + 4/5*f**5 + 0*f**2. Find the third derivative of z(h) wrt h.
96*h
What is the derivative of 6 - 3 - 15*z**3 + 14 + 2 wrt z?
-45*z**2
Suppose 0 = -2*w - 0*w. Let p(u) be the first derivative of 0*u + 1 - 2/5*u**5 + 1/3*u**3 + w*u**2 + 0*u**4. Find the third derivative of p(d) wrt d.
-48*d
Let m(k) = -6 - 1 - k + 3*k. Let d be m(5). Find the third derivative of -3*u**6 + 2*u**2 + d*u**6 - 2*u**6 wrt u.
-240*u**3
Let r(f) be the first derivative of f**7/168 + 7*f**6/360 - 10*f**3/3 - 3. Let z(x) be the third derivative of r(x). What is the third derivative of z(c) wrt c?
30
Let u(h) be the first derivative of -3*h**3 - 3*h - 1. What is the first derivative of u(s) wrt s?
-18*s
Let i be (1/(-3))/((-3)/18). Let k(u) be the first derivative of 0*u**i + 0*u**3 - 1/4*u**4 - 1 - u. Differentiate k(n) wrt n.
-3*n**2
Let j = -7 - -10. What is the first derivative of 4*p - 2 + p**j - 4*p + 1 wrt p?
3*p**2
Find the second derivative of 75*o + 0*o**2 + 12*o**5 - 97*o + 0*o**2 wrt o.
240*o**3
Let p = 32 - 20. Let a be 3/2 - p/(-8). What is the first derivative of -3 + 3*o**3 - 2*o**a + 5 wrt o?
3*o**2
Let o(j) be the first derivative of 9*j**7/7 - 8*j**3/3 - 5. Find the third derivative of o(z) wrt z.
1080*z**3
Suppose 3*k - 2 = m, k + 2*k - 52 = -4*m. Suppose -11*z + 15*z - 20 = 0. Find the third derivative of -2*d**6 + 10*d**5 - m*d**z - d**2 wrt d.
-240*d**3
Suppose 10 = j + 3*z - 2*z, 2*j = 2*z. Let c(w) = w**3 - 6*w**2 + 6*w - 3. Let n be c(j). What is the third derivative of m + 2*m**4 - n*m**2 - m wrt m?
48*m
Let y(b) be the second derivative of 29*b**6/30 - 17*b**3/3 + 15*b. What is the second derivative of y(g) wrt g?
348*g**2
Let w(d) be the third derivative of 0*d**4 + 0*d + 0*d**6 - 3*d**2 + 0*d**3 + 1/42*d**7 + 0 - 1/30*d**5. What is the third derivative of w(f) wrt f?
120*f
Let i(b) = b**3 - 6*b**2 - 6*b - 4. Let l be i(7). Find the third derivative of -7*t**2 + 2*t**3 + 3*t**l + 3*t**2 wrt t.
30
Let u(k) = -2*k - 2. Suppose 3 = -5*i + 4*i. Let g be u(i). Differentiate -1 + 2 - 3 + g*o**4 + 1 with respect to o.
16*o**3
Let f(s) be the second derivative of s**6/720 - s**5/20 + s**4/4 - 2*s. Let n(z) be the third derivative of f(z). Differentiate n(u) with respect to u.
1
Let d(k) = -2 - 2 + 6 - 5*k - 2*k**2. Let b(c) = -c**2 - c. Let m(w) = -5*b(w) + d(w). What is the first derivative of m(j) wrt j?
6*j
Let b(s) be the first derivative of 10*s**7/7 - 5*s**3/3 - 5. Find the third derivative of b(f) wrt f.
1200*f**3
What is the second derivative of -43*b + 33*b**5 + 262*b**3 - 529*b**3 + 267*b**3 wrt b?
660*b**3
Let w(l) be the second derivative of 27*l**5/20 + 5*l**3/6 + 42*l. Find the second derivative of w(o) wrt o.
162*o
What is the second derivative of 1087*h**2 - 8*h - 1076*h**2 + 26*h wrt h?
22
Let s(c) be the second derivative of 0*c**2 - c**3 + 3*c + 0 + 0*c**4 - 2/5*c**5. Find the second derivative of s(a) wrt a.
-48*a
Let w(r) be the first derivative of 7*r**6/6 - 3*r**2 - 1. Find the second derivative of w(q) wrt q.
140*q**3
What is the derivative of -5*v**2 + 11*v**2 + 15 + 6*v**2 + 5 wrt v?
24*v
Suppose -4*y - d = -0*d - 620, 4*d - 140 = -y. Suppose -5*k + 34 = -y. What is the third derivative of -42*c**3 + 0*c**2 + k*c**3 + 2*c**2 wrt c?
-24
Suppose 2*p = -2*p + 12. Let q = -3 + 5. Find the second derivative of 2*x**3 + 0*x + 3*x - q*x**p + x**4 wrt x.
12*x**2
Let u(g) be the third derivative of g**7/105 + 11*g**5/30 - 4*g**2. Find the third derivative of u(l) wrt l.
48*l
Let w(h) be the first derivative of 5*h**3/3 - 3*h**2/2 + 4*h - 4. Let s(b) = 10*b**2 - 5*b + 8. Let q(k) = -3*s(k) + 5*w(k). Differentiate q(x) wrt x.
-10*x
Differentiate -2*w + w + 15 - 3*w - 11*w with respect to w.
-15
Suppose -1 - 1 = -l. Find the first derivative of 4*u**2 + 0*u**l + 4 - 3*u**2 wrt u.
2*u
Let o(b) = 12*b**4 + b**2 + 9*b + 9. Let p(m) = 2*m**3 + 3*m**4 - 2 + 4 + 2*m - 2*m**3. Let x(a) = -2*o(a) + 9*p(a). What is the third derivative of x(y) wrt y?
72*y
Let g(i) be the second derivative of -i**6/6 + i**3/3 - 2*i. Find the second derivative of g(t) wrt t.
-60*t**2
Let h be 0/(-1) + (0 - 1). Let t = h - -3. What is the second derivative of 2*q + 4*q**2 - t*q**3 - 4*q**2 wrt q?
-12*q
Let b = -16 - -24. Suppose 2*l - 2*k - b = 0, -2*l - 4*k + 5 = l. Differentiate l*v + 0*v - v**4 + 3 - 3*v with respect to v.
-4*v**3
Let r(a) = 2*a**2 + 3. Let u(g) = g**3 - g**2. Let n(b) = r(b) + 2*u(b). Differentiate n(q) wrt q.
6*q**2
Let g(u) be the first derivative of -5*u**6/6 + 2*u**3/3 + 4. What is the third derivative of g(n) wrt n?
-300*n**2
Let i be ((-3)/6)/((-2)/8). Find the third derivative of -3*b**3 + b**i + b**2 + 6*b**3 wrt b.
18
Let o(f) = 5*f + 9. Let p(q) = q. Let d(y) = o(y) + 2*p(y). Let w(h) = 4*h + 5. Let j(r) = -3*d(r) + 5*w(r). Find the first derivative of j(n) wrt n.
-1
Let w(a) be the second derivative of -a**3 - 2*a**2 + 2*a**2 - 3*a**2 + 3*a. What is the derivative of w(z) wrt z?
-6
Suppose 7 = -5*n - 4*p, -n + 4*p = -0*p + 11. Let u(s) = 2*s. Let r(w) = -w - 1. Let i(a) = n*r(a) - 3*u(a). Find the first derivative of i(g) wrt g.
-3
Let m(g) be the third derivative of -5*g**8/336 + 11*g**4/24 + 24*g**2. Find the second derivative of m(w) wrt w.
-100*w**3
Let j(y) be the third derivative of 3*y**7/70 - 5*y**4/12 - 2*y**2. Find the second derivative of j(z) wrt z.
108*z**2
Let v(l) be the third derivative of -4*l**4/3 - 16*l**3/3 - 29*l**2. What is the first derivative of v(g) wrt g?
-32
Let a(l) = l + 1. Let p(o) = -7*o**4 + 5. Let w(n) = 5*a(n) - p(n). Find the second derivative of w(q) wrt q.
84*q**2
Let l(c) = 6*c**4 + 8*c**3 - 42*c - 5. Let j(n) = -5*n**4 - 7*n**3 + 41*n + 4. Let q(x) = 5*j(x) + 4*l(x). Find the second derivative of q(f) wrt f.
-12*f**2 - 18*f
Let j(x) be the third derivative of -11*x**7/70 + x**3/2 - 5*x**2. Differentiate j(y) wrt y.
-132*y**3
Suppose 4*d - 12 - 4 = 0. Differentiate -w**3 - d*w + 2 - 2*w + 6*w with respect to w.
-3*w**2
Let s(n) be the first derivative of n**7/70 + n**5/30 - n**2/2 + 1. Let x(u) be the second derivative of s(u). Find the third derivative of x(y) wrt y.
72*y
Let x(f) be the first derivative of -5*f**4/4 - 16*f**2 + 16. What is the second derivative of x(w) wrt w?
-30*w
Let r(v) = -6*v + 2. Let m be r(2). Let p = m - -10. Find the third derivative of p + 0 - 3*z**6 - 2*z**2 + 5*z**2 wrt z.
-360*z**3
Let g(x) = 36*x**5 + 7*x**2 + 21*x.
|
{
"pile_set_name": "DM Mathematics"
}
|
f 8 and k.
8
Let o(q) = 8*q + 136. Let p be o(-15). What is the highest common factor of p and 48?
16
Suppose 0 = 23*m - 3401 - 6972. Calculate the greatest common factor of 11 and m.
11
Let f(i) be the third derivative of i**6/120 + i**5/12 - 7*i**4/12 + 2*i**3/3 + 8*i**2. Let m be f(-7). Calculate the highest common divisor of m and 20.
4
Let a(i) = 40*i - 4. Let c be a(12). What is the highest common divisor of c and 68?
68
Suppose 0 = 2*v - 2*r - 60, v - 3*r + 155 = 5*v. Suppose 3*f = -11 + v. What is the highest common factor of f and 88?
8
Suppose m = -0*j - 5*j + 4, -5*j + m = -6. What is the highest common factor of j and 23?
1
Let s(y) = -y**3 + 7*y**2 - 4*y - 4. Let f(z) = 3*z - 11. Let r be f(5). Let x be s(r). Calculate the greatest common divisor of x and 168.
28
Let h be 26/4 - (-4)/(-8). Suppose 11*u - 842 = 676. Calculate the highest common factor of h and u.
6
Let u = -126 + 62. Let w = -47 - u. What is the greatest common divisor of 17 and w?
17
Let m be 2/(-11) + (-1440)/(-55). Let n(b) = -2*b - 20. Let r be n(-10). Let j be 5/((r - 1)/(-13)). What is the greatest common divisor of m and j?
13
Let o(g) = -5*g + 48. Let a be o(0). Calculate the greatest common divisor of 272 and a.
16
Let r = -12 + 33. Let u = r + -16. Let o be (6/(-15) - -2)*u. What is the highest common factor of o and 8?
8
Let b be (-3 + 5)/((-3)/(96*-7)). Calculate the greatest common divisor of b and 32.
32
Let k = -65 + 56. Let t be k/4*64/(-12). Calculate the greatest common divisor of t and 16.
4
Let i = 0 - -3. Suppose i*s = 12, -4*o + 186 = o - s. Let j be 1/(40/o + -1). Calculate the highest common divisor of 76 and j.
19
Let h = -5 - -3. Let x be h/(-3*(-3)/(-108)). What is the highest common divisor of 16 and x?
8
Suppose 5*h = 5*t - 2*t + 131, -3*t = h - 19. Let f(o) = -56*o - 5. Let k be f(-5). What is the highest common divisor of h and k?
25
Let s = 71 + -7. Let k be 1/(4/s*4). Suppose 0*h - 3 = -3*x - 3*h, h = 2*x - 11. What is the greatest common factor of x and k?
4
Let a = 376 + -36. What is the greatest common factor of 136 and a?
68
Let g(z) = -z**2 - 21*z - 34. Let f be g(-7). Suppose 0 = 2*n + n + 21. Let q = 1 - n. Calculate the greatest common divisor of f and q.
8
Let w = -6 + 8. Suppose 3*v + u = 208 - 35, 4*v - w*u = 224. Suppose -109 = -2*r - h - 32, -156 = -4*r - 4*h. Calculate the greatest common factor of v and r.
19
Let k = -9315 - -9333. Suppose 0*g - 5*g = -1440. Calculate the greatest common factor of k and g.
18
Let t be 7 - (-7)/(28/(-8)). Let p = -527 - -530. Calculate the greatest common divisor of t and p.
1
Let c be (-1 + 27)*(-11)/(-22). Suppose -12*t = -c*t + 16. Calculate the highest common divisor of 48 and t.
16
Let v = 194 - 158. What is the greatest common divisor of v and 36?
36
Let i(h) = 8*h**3 - 7*h**2 + 9*h + 5. Let z be i(4). What is the greatest common factor of z and 18?
9
Let j be (1/3)/((-3)/(-243)). Let n = j + -11. Suppose -n - 9 = -5*l. Calculate the greatest common factor of 15 and l.
5
Let d be -28*(2/4 - 3). Suppose 5*t = 80 + d. Calculate the highest common divisor of t and 10.
10
Let k(o) = o**3 + 7*o**2 - 6*o + 6. Let g be k(-7). What is the highest common factor of g and 32?
16
Let x be 2 - (-60)/(-4 + (-44)/(-10)). Calculate the highest common factor of 988 and x.
76
Suppose 4 = t - 9. Suppose 10 + 14 = -3*f. Let b = t + f. Calculate the greatest common divisor of b and 10.
5
Suppose 0 = -u - 5*m + 51, -3*m + 109 = -2*u + 4*u. Calculate the highest common divisor of u and 252.
28
Let u(m) = 14*m**2 + 3*m + 2. Let p be u(-1). Suppose -p = -5*y + 7. Suppose -3*g + 45 = q, -y*g + 3*q = g - 89. What is the highest common divisor of g and 2?
2
Let k(y) = -2*y**2 + 59*y - 91. Let n be k(27). Suppose 0 = 2*c - 1 - 7. Calculate the highest common factor of n and c.
4
Let f(q) = 11*q**3 + 3*q - 1. Let a be f(2). Suppose -23 = 5*j - a. What is the greatest common divisor of j and 98?
14
Let k be 1 + (-12)/16 - (-167)/4. Calculate the greatest common divisor of k and 7.
7
Let f be (-2)/2*(-7 + -3 + 0). What is the greatest common divisor of 270 and f?
10
Let f = 13 + -9. Let r(n) = -2*n**3 - 27*n**2 - 18*n - 17. Let g be r(-13). Suppose -6*b + f*b = -g. What is the greatest common factor of 3 and b?
3
Let d be (-40)/(-35) + (-6456)/(-84). Calculate the highest common factor of d and 12.
6
Let w be 0*((-2)/(-11) + 15/99). Suppose -5*a = -w*a - 70. Suppose -3*o + m = -o - 197, 4*m = -4. Calculate the highest common factor of a and o.
14
Suppose 4*i + 5*t = 50, -3*t + 12 + 12 = 2*i. What is the greatest common factor of i and 915?
15
Let r be -2 - (10 - 5) - -11. What is the highest common factor of 92 and r?
4
Let z be (-9 - -5)/(-2 - 0). Let v be (-83 - -1)*z/(-4). Suppose 4*s = s + u + 93, s + 3*u = v. What is the highest common divisor of 4 and s?
4
Let o = -475 + 745. What is the highest common factor of 10 and o?
10
Let s(l) = -3*l - 12. Let t be s(0). Let z be 7/3 + (-8)/t. Suppose -z*h + 2*h - 2*p = -19, 3*h + 3*p = 42. What is the greatest common factor of 72 and h?
9
Suppose -4*f + 2*f + 10 = 0. Let r = -877 - -922. Calculate the greatest common divisor of r and f.
5
Let c = 749 - 737. Calculate the greatest common factor of c and 132.
12
Suppose 0 = 3*n - 4*n + 95. Let d = -87 + n. Calculate the greatest common divisor of d and 2.
2
Let h(r) = 2*r**2 - 2. Let b be h(-4). Let u be (576/54)/(2/b). What is the greatest common divisor of u and 20?
20
Let y be (-12)/(-2)*(94 - 79). What is the greatest common divisor of y and 1?
1
Let m be (5 - 1)/(-2) + -1. Let v(y) = 2*y**2 + 3*y - 3. Let x be v(m). Suppose -4*d + x*d = 22. What is the highest common factor of 33 and d?
11
Let s be ((-66)/(-4))/3*4. Let d = 60 + -88. Let q be (-230 + -1)/(42/d). Calculate the highest common factor of s and q.
22
Let c be (-3)/((-2)/(-188)*-6). Let f = 62 - c. Calculate the greatest common factor of f and 3.
3
Let y be (-36)/21*1295/(-10). Suppose -n + 3*n - y = 0. Calculate the greatest common divisor of n and 37.
37
Let l = -113 + 183. Suppose -3*y + 8*y + 3*a = 62, 2*a + 12 = 2*y. Calculate the greatest common factor of l and y.
10
Suppose m - 5*w = 40, -3*m - 41*w + 36*w = -180. What is the greatest common factor of 2310 and m?
55
Suppose j + 5*m - 517 = 0, j - 5*m + 219 = 686. Calculate the highest common divisor of 12 and j.
12
Let z(y) = -36*y + 90. Let d be z(0). Let i(j) = 2*j**2 + 4*j + 2. Let c be i(-4). Calculate the greatest common factor of d and c.
18
Let k = 164 + -68. What is the greatest common divisor of k and 352?
32
Suppose 4*j - 13*s - 58 = -11*s, -4*j = s - 67. Calculate the highest common divisor of j and 152.
8
Let u = -34 - -70. Let b = 1307 - 1303. Calculate the highest common divisor of b and u.
4
Suppose u + 1 - 4 = -2*g, 2*g - 17 = -3*u. Let y = u + -2. Suppose 2*b + 2*x = 72, 4*b + 3*x - 135 = 8*x. What is the greatest common factor of b and y?
5
Let s = -2381 - -2993. What is the greatest common divisor of s and 459?
153
Let u(i) = i**2 + 10*i + 5. Let r be u(-10). Suppose 27 = r*g - 13. Let n = 0 + 1. What is the highest common divisor of n and g?
1
Let b be (1/(-1) - 10)*-2. Let u be (-400)/14 + (-6)/(-14)*-1. Let n = u - -31. What is the greatest common factor of n and b?
2
Let q(n) = n**2 + 9*n + 5. Let p be q(-4). Let l be ((-207)/(-12))/(p/(-160)). Let a be -5 + 2 + (0 - -26). What is the greatest common divisor of l and a?
23
Let c be 48/(-20)*65/(-2). Let z be (-126)/(-26) + 12/c. Let b = z - 3. Calculate the greatest common divisor of 8 and b.
2
Let d be 284/16 - 1/(-4). Let s(g) = 9*g + 6. Let v be s(4). Let k be (-1 - 6)*(-12)/v. What is the greatest common divisor of k and d?
2
Let j = 566 - 455. What is the greatest common divisor of 259 and j?
37
Let d = -650 + 845. Calculate the greatest common factor of 60 and d.
15
Let f(j) = -j**3 + 9*j**2 - 16*j + 17. Let v be f(7). Let d be ((-38)/14 + 3)*7 - -31. Calculate the greatest common divisor of v and d.
3
Suppose 0 = -29*q + 344 + 352. What is the highest common divisor of 816 and q?
24
Let y = -160 - -237. Calculate the greatest common divisor of 33 and y.
11
Suppose -4*d = -9*d - 75. Let n = d + 16. Suppose h = 3 - 1. What is the highest common divisor of n and h?
1
Let k(s) = -45*s - 12. Let h(o) = -90*o - 25.
|
{
"pile_set_name": "DM Mathematics"
}
|
) + (-130)/(-4))*-82*(-82)/90774. Factor -32/3 - 2/9*a**3 - o*a**2 - 80/9*a.
-2*(a + 3)*(a + 4)**2/9
Let g(n) be the first derivative of -n**4/32 - 3*n**3/8 - 25*n + 144. Let o(t) be the first derivative of g(t). Factor o(w).
-3*w*(w + 6)/8
Let o(g) be the third derivative of 0*g**3 + 1/960*g**6 + 1/48*g**5 - 80 + 0*g + 25/192*g**4 + g**2. Factor o(a).
a*(a + 5)**2/8
Suppose -295*k + 4*c = -299*k - 40, -k = 2*c + 20. Factor k - 4/17*z + 6/17*z**2 - 2/17*z**3.
-2*z*(z - 2)*(z - 1)/17
Let i(p) be the third derivative of -10/27*p**3 - 2*p**2 - 2/135*p**5 + 41/108*p**4 - 60 + 0*p. Suppose i(c) = 0. Calculate c.
1/4, 10
Let v(p) be the third derivative of 3*p**6/20 - 7*p**5/5 + 85*p**4/48 + 289*p**3/12 - 18*p**2 + 45*p - 2. Factor v(t).
(t + 1)*(6*t - 17)**2/2
Let l be 1 - (-12)/(-8) - (9/6 - 5). Let f(t) be the second derivative of 35*t - 5/24*t**4 + 0 - 1/2*t**l + 0*t**2 - 1/40*t**5. Solve f(r) = 0.
-3, -2, 0
Let c(a) be the third derivative of -176*a**2 - 625/12*a**3 + 1/5*a**5 + 0 + 175/32*a**4 + 0*a + 1/480*a**6. Factor c(s).
(s - 2)*(s + 25)**2/4
What is x in 727 - 430 + 4*x**3 + 120*x**2 - 6*x**3 - 417 + 2*x = 0?
-1, 1, 60
Let r(b) = -38*b**3 + 132*b**2 + 36*b. Let k(o) = 13*o**3 - 44*o**2 - 12*o. Let z be -2 + -2 + -6 + 0 + 0. Let l(j) = z*k(j) - 3*r(j). Factor l(c).
-4*c*(c - 3)*(4*c + 1)
Let y = -173334 - -1040009/6. Let d = 2/5 + 21/10. Factor -5/6*b**4 + y*b**2 + 0 - d*b**3 + 5/2*b.
-5*b*(b - 1)*(b + 1)*(b + 3)/6
Let z be 5 - (11/(-6) + 15/255*17)*-6. Factor 2/11*m**3 + z - 4/11*m**2 + 0*m.
2*m**2*(m - 2)/11
Let u be ((-19)/(950/15))/(-1*(-10)/(-75)). Determine c, given that -1/4*c**3 - u*c**2 - 3/2*c + 4 = 0.
-8, -2, 1
Determine l, given that 65/4*l**3 - 45*l + 105/2*l**2 - 270 + 5/4*l**4 = 0.
-6, -3, 2
Let r be 920/(-116) - 14/203. Let k be 48/(-216) - r/36. Let -2/9*n**2 + k + 2/3*n = 0. What is n?
0, 3
Let p(n) be the second derivative of n**6/120 + 13*n**5/60 - n**4/24 - 13*n**3/6 + 72*n**2 + n + 27. Let o(q) be the first derivative of p(q). Factor o(k).
(k - 1)*(k + 1)*(k + 13)
Let q(o) be the third derivative of 11*o**8/120 - 37*o**7/840 - o**6/180 - 13*o**3/6 + 27*o**2 + 3*o. Let a(m) be the first derivative of q(m). Factor a(v).
v**2*(7*v - 2)*(22*v + 1)
Let v = -2294/35 - -459/7. Let w(h) be the third derivative of -43*h**2 - 1/7*h**4 - 1/420*h**6 + 0*h + 8/21*h**3 + 0 + v*h**5. Factor w(i).
-2*(i - 2)**3/7
Let s(m) = m**2 - m. Let p(g) = -2*g**2 - 15*g + 81. Let l be (4 - 5) + 10/5. Let o(c) = l*p(c) + 3*s(c). Suppose o(h) = 0. What is h?
9
Let z(t) be the first derivative of -208*t**3/7 + 1251*t**2/14 - 6*t/7 + 7441. Suppose z(r) = 0. What is r?
1/208, 2
Let n(r) be the third derivative of 13/105*r**7 - 1/4*r**6 + 1/15*r**5 - 7*r + 0*r**4 - 2*r**2 + 0*r**3 + 0. Determine f, given that n(f) = 0.
0, 2/13, 1
Let o(h) be the first derivative of 108 + 4/3*h + 77/24*h**4 - 9*h**3 + h**2. Solve o(w) = 0.
-2/11, 2/7, 2
Let n(u) be the third derivative of 1/42*u**7 + 0 - 40/3*u**3 - 35/6*u**4 + 1/24*u**6 + 0*u - u**5 - 26*u**2. Factor n(v).
5*(v - 4)*(v + 1)*(v + 2)**2
Let z(g) = -54*g**3 + 444*g**2 - 54*g - 21. Let p(y) = -45*y**3 + 222*y**2 - 27*y - 10. Let q(l) = 9*p(l) - 4*z(l). Determine b, given that q(b) = 0.
-1/9, 2/7, 1
Let 244 + 4*u**2 + u**3 - 8*u - 52*u - u**2 - 144 = 0. What is u?
-10, 2, 5
Let d(f) be the second derivative of -f**5/160 + 9*f**4/32 - 81*f**3/16 + 85*f**2/2 + 66*f. Let c(q) be the first derivative of d(q). Let c(s) = 0. What is s?
9
Factor 2052*q - 40248 - 2*q**2 - 505711 + 19621.
-2*(q - 513)**2
Determine r, given that -677/3*r**4 - r**5 - 1039*r**3 - 884/3 - 1180*r - 5099/3*r**2 = 0.
-221, -2, -1, -2/3
Let d = -1285 - -612. Let m = d + 675. Solve 5/2*n - 3 - 1/2*n**m = 0 for n.
2, 3
Solve 2/11*v**5 + 76/11*v**4 + 928/11*v + 1424/11*v**2 + 570/11*v**3 + 0 = 0.
-29, -4, -1, 0
Let n(i) = i**3 + 5*i**2 + 4*i + 4. Let t be n(-4). Let k = -124 - -128. Determine l so that 5*l + l**2 + 3*l + 4*l**3 + t*l**2 + k - 3*l**3 = 0.
-2, -1
Let m(w) be the first derivative of -3*w + 1/4*w**2 - 62 + 1/6*w**3. Factor m(r).
(r - 2)*(r + 3)/2
Let i(o) be the second derivative of -o**5/10 + 25*o**4/2 + 51*o**3 + 77*o**2 - 165*o + 1. Suppose i(h) = 0. Calculate h.
-1, 77
Let r(q) be the third derivative of -q**6/1380 + 16*q**5/115 - 135*q**4/23 + 7600*q**3/69 - 8231*q**2 + 2. Factor r(z).
-2*(z - 76)*(z - 10)**2/23
Suppose -2820 = -1270*y + 14960. Factor -y*p**2 + 68/5*p - 16/5.
-2*(5*p - 2)*(7*p - 4)/5
Let y(x) be the third derivative of x**8/420 + 629*x**7/525 + 4389*x**6/20 + 30429*x**5/2 - 77175*x**4/4 - 3*x**2 - 5*x - 16. Factor y(k).
2*k*(k + 105)**3*(2*k - 1)/5
Let p = -1/19080 + 99641/19080. Determine q so that p*q + 1/9*q**2 - 16/3 = 0.
-48, 1
Let h(b) be the first derivative of 2*b**3/9 + 8*b**2 - 1280*b/3 + 1168. Find k such that h(k) = 0.
-40, 16
Let c(f) = -f**2 - 7*f - 6. Let j be 5*(4/(-12))/((-4)/(-12)). Let k be c(j). Find s such that -18/5*s + 12/5*s**2 + 16/5*s**3 - 12/5*s**k + 0 + 2/5*s**5 = 0.
-1, 0, 1, 3
Let z(n) = -n**3 - 13*n**2 - 24*n - 20. Let f be z(-11). Find q, given that 99*q - 16 - 206*q - 2*q**f + 125*q = 0.
1, 8
Let j(w) be the second derivative of w**7/147 + 53*w**6/105 + 389*w**5/35 + 1013*w**4/21 + 275*w**3/3 + 625*w**2/7 - 703*w - 1. Find s such that j(s) = 0.
-25, -1
Let j be (15/(-378)*14)/(5/(-222)). Factor -40*g**2 - 4 + j*g + 6*g**3.
2*(g - 6)*(3*g - 1)**2/3
Let k(m) be the second derivative of m**8/6720 + m**7/840 - m**6/80 + m**5/24 + 23*m**4/6 + 109*m. Let y(l) be the third derivative of k(l). Factor y(t).
(t - 1)**2*(t + 5)
Let g(v) be the second derivative of -3/5*v**2 + 22*v - 1/30*v**4 + 0 - 4/15*v**3. Let g(i) = 0. Calculate i.
-3, -1
Suppose 3*g - b - 1527 = 2*b, 0 = 4*g + 3*b - 2057. Suppose 1134*y + 1936*y - 50160*y**3 - 196*y**5 + g*y**2 + 439*y - 6272*y**4 + 587*y = 0. Calculate y.
-16, -2/7, 0, 2/7
Let l(s) be the first derivative of 2*s**3 + 521*s**2 - 348*s + 946. Factor l(o).
2*(o + 174)*(3*o - 1)
Let g = -101106811579/3315 - -30499793. Let y = -2/1105 + g. Factor -y*h**3 + 8/3*h - 8/3 + 2/3*h**2.
-2*(h - 2)*(h - 1)*(h + 2)/3
Let j(z) be the third derivative of 0*z**3 + 1/105*z**7 - 4/9*z**4 + 4/9*z**5 + 2*z**2 - 68*z + 0 + 23/180*z**6. Factor j(g).
2*g*(g + 4)**2*(3*g - 1)/3
Let s(t) = t**2 + 2402*t + 12. Let b be s(0). Suppose 0*h**2 - 3/2*h**5 + 3*h**4 + 0*h + b*h**3 + 0 = 0. Calculate h.
-2, 0, 4
Let j(q) be the first derivative of -2*q**6/135 + q**5/15 - 2*q**4/27 + 82*q + 223. Let i(c) be the first derivative of j(c). Factor i(k).
-4*k**2*(k - 2)*(k - 1)/9
Let i(y) be the second derivative of -4*y - 310/3*y**3 - 205/12*y**4 - 4 + 13/4*y**5 + 50*y**2. Factor i(v).
5*(v - 5)*(v + 2)*(13*v - 2)
Let g(z) be the first derivative of z**6/4 + 84*z**5/5 - 261*z**4/4 + 88*z**3 - 177*z**2/4 - 1713. Solve g(x) = 0 for x.
-59, 0, 1
Suppose -4*d + 4*a = -9*d - 263, -2*a = -3*d - 149. Let p be (-255)/d + (-3 - -1). Factor 0 - b - b**2 - 1/4*b**p.
-b*(b + 2)**2/4
Let s be (-28)/49 - 625/(-175). Let h(c) be the first derivative of 0*c**2 - 1/3*c**s + 0*c + 10. Factor h(a).
-a**2
Factor 2002*a**3 - 16*a**4 - 12*a**2 - 1870*a**3 - 20*a**2.
-4*a**2*(a - 8)*(4*a - 1)
Let z = -17 - -30. Suppose 2*i + 9 = z. Factor -10*x + 29*x**4 - 40*x**i - 10*x - 4*x**4 + 35*x**3.
5*x*(x - 1)*(x + 2)*(5*x + 2)
Suppose 0*w - w - 5*m = 8, 2*m + 20 = 16. Suppose 4/3*a**3 + a**w - 20/3*a + 1/6*a**4 + 25/6 = 0. What is a?
-5, 1
Find x such that 3008/3*x + 496*x**2 + 672 - 2/3*x**4 + 80*x**3 = 0.
-2, 126
What is p in -1/2*p**3 - 107/2*p + 25/2*p**2 - 133/2 = 0?
-1, 7, 19
Let t(f) be the third derivative of -f**5/15 - 256*f**4/3 + 452*f**2 - f. Factor t(n).
-4*n*(n + 512)
Let g = 83 - 80. Let p(r) be the first derivative of -6*r - 7*r**2 - 8 - 4/3*r**g. Determine s, given that p(s) = 0.
-3, -1/2
Determine v, given that v**5 + 71/2*v**4 - 18*v**2 - 37/2*v**3 + 0 + 0*v = 0.
-36, -1/2, 0, 1
Find o such that -3/2*o - 537/2*o**2 + 3/2*o**3 + 537/2 = 0.
-1, 1, 179
Let s(p) = 2*p**3 - 688*p**2 + 706*p - 2. Let x(m) = m**2 + 9*m - 1. Let n(g) = -2*s(g) + 4*x(g). Solve n(t) = 0.
0, 1, 344
Let x(l) be the first derivative of -5*l**3/2 + 9*l**2 + 66*l + 1446. Factor x(u).
-3*(u + 2)*(5*u - 22)/2
Suppose 4/9*y**5 + 0 - 6*y**3 - 2/9*y**4 + 0*y + 8*y**2 = 0. What is y?
-4, 0, 3/2, 3
Let r = -10107/5 + 111187/55.
|
{
"pile_set_name": "DM Mathematics"
}
|
two letters picked without replacement from {t: 15, g: 5}?
1/19
Four letters picked without replacement from nnnvvv. What is prob of picking 3 v and 1 n?
1/5
What is prob of picking 2 e, 1 l, and 1 i when four letters picked without replacement from {n: 1, e: 3, h: 1, l: 5, u: 2, i: 3}?
3/91
Calculate prob of picking 3 h when three letters picked without replacement from hhzzhhh.
2/7
Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {p: 4, h: 2, e: 4, q: 3, t: 1, x: 3}.
1/34
Two letters picked without replacement from ggguggnngnnnugg. Give prob of picking 2 g.
4/15
Two letters picked without replacement from {r: 1, n: 2}. Give prob of picking 2 n.
1/3
Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {e: 1, a: 1, f: 1, r: 1, n: 2, m: 8}.
1/91
Calculate prob of picking 3 m when three letters picked without replacement from {m: 4, o: 1, y: 6}.
4/165
Four letters picked without replacement from hvsrirs. What is prob of picking 1 s, 1 i, 1 h, and 1 v?
2/35
Two letters picked without replacement from {p: 3, g: 2, e: 1, w: 1}. What is prob of picking 1 w and 1 p?
1/7
Calculate prob of picking 3 a and 1 g when four letters picked without replacement from {a: 6, t: 3, m: 1, b: 1, g: 1, p: 6}.
1/153
Calculate prob of picking 2 h and 2 n when four letters picked without replacement from {i: 4, h: 5, n: 5}.
100/1001
Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, e: 3}.
1/10
Calculate prob of picking 3 b when three letters picked without replacement from bzbbz.
1/10
Three letters picked without replacement from {h: 1, c: 2, p: 3, u: 5, k: 6}. Give prob of picking 2 u and 1 k.
3/34
Two letters picked without replacement from iiyiiyi. What is prob of picking 2 y?
1/21
What is prob of picking 1 h and 3 l when four letters picked without replacement from {i: 4, q: 9, l: 1, h: 2}?
0
What is prob of picking 1 b and 2 r when three letters picked without replacement from bkrkkrkkbxrbbkkb?
3/112
Four letters picked without replacement from {n: 16, h: 2}. What is prob of picking 3 n and 1 h?
56/153
Three letters picked without replacement from gghgggohhhhgoihhc. What is prob of picking 1 c, 1 g, and 1 h?
21/340
Four letters picked without replacement from {e: 1, g: 2, m: 2, o: 3, q: 3, n: 1}. What is prob of picking 1 n, 1 q, 1 m, and 1 o?
2/55
Calculate prob of picking 2 b and 2 w when four letters picked without replacement from bwiiiibbbwiwbw.
60/1001
Calculate prob of picking 1 u and 1 o when two letters picked without replacement from {l: 1, o: 1, u: 1, x: 1, z: 1}.
1/10
Calculate prob of picking 2 z and 1 j when three letters picked without replacement from zjjzjjjzzz.
5/12
Two letters picked without replacement from kedhhbkdnnndnddn. Give prob of picking 1 h and 1 b.
1/60
Calculate prob of picking 2 c when two letters picked without replacement from ccsskbkkb.
1/36
Calculate prob of picking 1 n, 1 y, and 2 i when four letters picked without replacement from rnyinrhnfrhifrhnrrii.
8/1615
Three letters picked without replacement from {w: 1, k: 5, x: 3, a: 8, b: 2}. Give prob of picking 1 x, 1 k, and 1 a.
40/323
Two letters picked without replacement from {f: 5, t: 3, m: 2, o: 1, u: 1, k: 1}. Give prob of picking 1 m and 1 u.
1/39
Two letters picked without replacement from {l: 1, q: 5, o: 1, m: 1, a: 1}. What is prob of picking 1 l and 1 m?
1/36
Calculate prob of picking 1 c and 1 n when two letters picked without replacement from vncvngvmnvvemvn.
4/105
Calculate prob of picking 2 p when two letters picked without replacement from onpropnnpoprnnro.
1/20
Four letters picked without replacement from ttrrtqt. Give prob of picking 1 r and 3 t.
8/35
What is prob of picking 2 t and 2 d when four letters picked without replacement from dttttttddtdtttdtdtd?
231/646
Four letters picked without replacement from nnfffnfxfiixnxxffmf. What is prob of picking 1 i and 3 n?
2/969
Four letters picked without replacement from {k: 6, b: 6}. Give prob of picking 3 b and 1 k.
8/33
Four letters picked without replacement from {k: 4, w: 1, m: 2}. Give prob of picking 4 k.
1/35
Three letters picked without replacement from {d: 1, j: 1, c: 1, q: 1, r: 1}. Give prob of picking 1 j, 1 d, and 1 r.
1/10
Calculate prob of picking 1 r and 1 g when two letters picked without replacement from rgrggr.
3/5
Two letters picked without replacement from attllttkktrt. What is prob of picking 1 t and 1 a?
1/11
Two letters picked without replacement from {y: 1, g: 2}. What is prob of picking 1 g and 1 y?
2/3
Calculate prob of picking 1 i and 3 u when four letters picked without replacement from {i: 7, o: 1, c: 1, u: 4}.
28/715
Two letters picked without replacement from qvgqfuq. Give prob of picking 1 g and 1 v.
1/21
Three letters picked without replacement from olnfohf. What is prob of picking 2 o and 1 f?
2/35
Two letters picked without replacement from anaiiii. What is prob of picking 2 a?
1/21
Three letters picked without replacement from suvhuhhshssshhuuuss. Give prob of picking 1 h and 2 u.
20/323
Four letters picked without replacement from knmnnnnkmmnm. Give prob of picking 1 m, 2 n, and 1 k.
8/33
Three letters picked without replacement from {l: 3, h: 2}. What is prob of picking 1 h and 2 l?
3/5
Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, y: 2}.
1/6
What is prob of picking 1 k and 1 b when two letters picked without replacement from {i: 1, h: 2, k: 3, j: 3, b: 1}?
1/15
Three letters picked without replacement from {a: 1, y: 7}. Give prob of picking 3 y.
5/8
Calculate prob of picking 2 u when two letters picked without replacement from {z: 4, u: 8, n: 2}.
4/13
Calculate prob of picking 2 r when two letters picked without replacement from {r: 11, j: 3}.
55/91
Two letters picked without replacement from rrfgmgrfffffm. Give prob of picking 1 m and 1 r.
1/13
Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {x: 4, n: 5, b: 3, v: 1, s: 5}.
5/153
Two letters picked without replacement from {w: 5, f: 4, t: 4, j: 2, o: 1}. What is prob of picking 2 w?
1/12
Two letters picked without replacement from {s: 6, j: 2, c: 2, a: 10}. Give prob of picking 1 s and 1 a.
6/19
Calculate prob of picking 1 c and 1 o when two letters picked without replacement from nonico.
2/15
What is prob of picking 1 f and 1 t when two letters picked without replacement from {t: 1, f: 1, m: 1}?
1/3
What is prob of picking 1 t, 1 v, 1 w, and 1 r when four letters picked without replacement from {w: 2, t: 2, v: 3, r: 1, z: 1, o: 3}?
4/165
Two letters picked without replacement from {l: 7, h: 1}. What is prob of picking 1 l and 1 h?
1/4
Two letters picked without replacement from accccciii. Give prob of picking 2 c.
5/18
Calculate prob of picking 4 a when four letters picked without replacement from {o: 5, w: 1, a: 4}.
1/210
Calculate prob of picking 1 q, 1 d, and 1 n when three letters picked without replacement from {f: 1, s: 4, n: 1, d: 5, q: 2, c: 2}.
2/91
Two letters picked without replacement from irmwwmcvcrmvrm. Give prob of picking 1 m and 1 w.
8/91
Calculate prob of picking 1 k, 1 b, and 2 q when four letters picked without replacement from {q: 3, k: 2, b: 3}.
9/35
Four letters picked without replacement from kpukkukpkddu. What is prob of picking 1 d and 3 k?
4/99
Four letters picked without replacement from bqeqjjjqobojjbjeq. Give prob of picking 2 q, 1 e, and 1 j.
18/595
What is prob of picking 2 c when two letters picked without replacement from {q: 3, x: 1, j: 6, c: 5, w: 2}?
5/68
Two letters picked without replacement from pdrrddd. What is prob of picking 2 d?
2/7
Calculate prob of picking 2 b when two letters picked without replacement from {x: 4, b: 5, q: 7}.
1/12
Two letters picked without replacement from {x: 6}. Give prob of picking 2 x.
1
What is prob of picking 1 x and 1 b when two letters picked without replacement from bbxxxjxaxxjebbbbxb?
49/153
Calculate prob of picking 3 e when three letters picked without replacement from hhehhhhhheehhehe.
1/56
What is prob of picking 2 f when two letters picked without replacement from fkkvfvfvff?
2/9
Four letters picked without replacement from {w: 3, p: 1, c: 6, b: 4}. What is pr
|
{
"pile_set_name": "DM Mathematics"
}
|
60 and 1350045.
37801260
Calculate the smallest common multiple of 786768 and 1012698.
299758608
Calculate the smallest common multiple of 1134304 and 5671520.
5671520
Find the common denominator of 33/2128139 and -31/14896973.
14896973
What is the common denominator of 43/3155680 and 29/353320?
230364640
What is the common denominator of 2/58239555 and -71/134970?
116479110
Find the common denominator of -49/612 and -91/186492.
9511092
Find the common denominator of -5/13312 and 9/258128.
16520192
What is the smallest common multiple of 10256 and 15640400?
15640400
Calculate the lowest common multiple of 2781955 and 303486.
16691730
Calculate the common denominator of 47/54591 and 187/52407360.
52407360
Find the common denominator of 68/9 and -32/93801.
281403
What is the common denominator of 1/25092 and -11/11466?
15983604
What is the lowest common multiple of 12094818 and 305232?
96758544
Calculate the smallest common multiple of 220340 and 13412.
1542380
What is the lowest common multiple of 12 and 1136923204?
3410769612
Calculate the common denominator of 81/646 and 121/267672.
4550424
Calculate the common denominator of -33/2192516 and 73/80214.
6577548
What is the smallest common multiple of 432 and 588816?
588816
What is the least common multiple of 38483055 and 471?
38483055
Calculate the common denominator of -97/4209120 and 77/36.
4209120
What is the common denominator of -41/512487 and 52/189297?
21011967
Calculate the common denominator of 29/98076 and -55/13396.
328456524
What is the common denominator of 55/172 and -85/2761622?
237499492
What is the smallest common multiple of 8 and 18210156?
36420312
Calculate the least common multiple of 224543 and 9328741.
102616151
Calculate the common denominator of -66/12587995 and -21/17982850.
125879950
Calculate the smallest common multiple of 35 and 9309215.
65164505
What is the least common multiple of 6681816 and 10176?
53454528
What is the least common multiple of 13750038 and 113771?
96250266
What is the least common multiple of 1073574 and 636?
113798844
What is the smallest common multiple of 395 and 239163?
94469385
What is the common denominator of 157/966 and -131/140562?
22630482
What is the lowest common multiple of 7 and 1607822?
11254754
Calculate the common denominator of -47/27503472 and 55/492.
1127642352
What is the lowest common multiple of 3 and 76597662?
76597662
What is the least common multiple of 6 and 18275934?
18275934
What is the lowest common multiple of 112 and 392360240?
2746521680
What is the common denominator of -7/38478 and 43/890241?
19585302
Find the common denominator of 31/68 and 157/306636.
5212812
What is the smallest common multiple of 606474 and 270?
3032370
What is the smallest common multiple of 1196 and 8590?
5136820
Calculate the lowest common multiple of 1060 and 380540.
380540
Calculate the least common multiple of 2 and 2999798.
2999798
Find the common denominator of -53/407 and 70/28848567.
28848567
What is the lowest common multiple of 10588298 and 3?
31764894
What is the common denominator of 31/4965 and 179/923490?
923490
Calculate the common denominator of -41/11235215 and 24/155.
348291665
Calculate the lowest common multiple of 35467360 and 108.
957618720
Calculate the smallest common multiple of 84770 and 1466521.
14665210
Find the common denominator of -49/1793465 and 88/18405.
16141185
Calculate the least common multiple of 33 and 19479708.
214276788
Calculate the common denominator of 79/4140040 and 29/60.
12420120
Calculate the common denominator of -23/3391850 and 197/11550.
10175550
Calculate the lowest common multiple of 36 and 2362104.
2362104
Find the common denominator of -41/2112 and 23/10925442.
349614144
Calculate the common denominator of 62/1742001 and 34/81.
47034027
What is the least common multiple of 3823056 and 15610812?
187329744
What is the common denominator of -67/4587417 and 145/418038?
174321846
Find the common denominator of 121/3499104 and -29/1270.
17495520
What is the common denominator of 81/262990 and -15/578?
262990
Find the common denominator of 103/597640 and 19/81172.
54385240
Calculate the least common multiple of 6654928 and 88.
73204208
Calculate the smallest common multiple of 1302 and 2408979.
33725706
Find the common denominator of -43/2726958 and -5/5043.
4584016398
What is the least common multiple of 91920 and 260440?
1562640
What is the least common multiple of 5643505 and 201075?
84652575
What is the lowest common multiple of 1143 and 2865267?
363888909
What is the smallest common multiple of 8198040 and 360?
24594120
Calculate the lowest common multiple of 20872884 and 264.
459203448
Calculate the least common multiple of 14 and 24905817.
348681438
What is the common denominator of -33/2 and 87/8798758?
8798758
Calculate the common denominator of -57/17800 and 111/163760.
818800
Calculate the common denominator of -167/38040 and 133/49452.
494520
Calculate the smallest common multiple of 8418348 and 5612232.
16836696
Find the common denominator of -17/322 and 22/737817.
10329438
What is the common denominator of 73/28293156 and -89/42?
198052092
Find the common denominator of -28/81150807 and 29/5973.
892658877
Calculate the lowest common multiple of 561531 and 1546.
868126926
What is the smallest common multiple of 2323321 and 1266?
13939926
What is the common denominator of 101/2405880 and -73/180?
2405880
Calculate the least common multiple of 1223833214 and 6.
3671499642
What is the common denominator of 11/75728 and -75/7090034?
56720272
Find the common denominator of -41/466178 and -25/104.
24241256
What is the lowest common multiple of 102 and 4540088?
13620264
What is the smallest common multiple of 1133853 and 98321253?
688248771
Calculate the least common multiple of 24963168 and 300.
624079200
What is the common denominator of 23/242 and 4/32899?
7961558
What is the smallest common multiple of 1326149 and 10013?
428346127
Calculate the lowest common multiple of 13482468 and 225648.
53929872
Calculate the common denominator of 2/218195 and -32/3885.
169537515
Find the common denominator of -17/5975 and 41/480390.
2401950
What is the smallest common multiple of 15 and 95199675?
95199675
What is the least common multiple of 953508 and 44?
10488588
Calculate the least common multiple of 12330 and 1038560.
1280544480
Calculate the common denominator of 22/2579 and -2/869.
2241151
Calculate the least common multiple of 9745125 and 5847075.
29235375
What is the common denominator of 25/22087 and -27/16991?
28867709
What is the common denominator of -7/22360 and 139/406080?
226998720
Calculate the common denominator of 1/450612 and 149/3604896.
3604896
Calculate the common denominator of -2/6685465 and 7/11.
73540115
What is the common denominator of -25/9891 and -59/139153?
196623189
Calculate the lowest common multiple of 16896 and 1073664.
11810304
What is the least common multiple of 1847187 and 40638114?
40638114
What is the lowest common multiple of 15390 and 98550?
5617350
What is the common denominator of -53/341127 and 29/45?
1705635
Calculate the lowest common multiple of 53504 and 7128704.
270890752
Calculate the smallest common multiple of 28067 and 993421.
2144795939
What is the common denominator of -79/1547901 and 77/18?
3095802
Calculate the smallest common multiple of 29359700 and 62090.
205517900
Find the common denominator of 133/51563094 and -119/20.
515630940
Find the common denominator of -23/4490 and 43/12196187.
121961870
Calculate the least common multiple of 84680 and 2200.
4657400
What is the lowest common multiple of 9 and 19364971?
174284739
What is the smallest common multiple of 260 and 28010040?
364130520
Find the common denominator of 137/29031162 and 47/8283.
319342782
Calculate the lowest common multiple of 950 and 103440.
9826800
What is the least common multiple of 748 and 13568822?
298514084
What is the least common multiple of 157471 and 5015?
787355
Calculate the least common multiple of 10421648 and 366256.
114638128
What is the least common multiple of 346550 and 3074?
18367150
What is the common denominator of -49/15663 and -31/283596?
1480654716
Calculate the least common multiple of 104694176 and 169784.
1989189344
What is the low
|
{
"pile_set_name": "DM Mathematics"
}
|
wrt b.
-330*r*t - 10*r + 1104*t
Find the third derivative of -119515*c**4*q + 2695*c**3*q - c**2*q + 621145*c**2 + 2*c*q + 2*c - 3 wrt c.
-2868360*c*q + 16170*q
What is the third derivative of 19653*i**3*k**3*t + 16*i**3*t - 132*i**2*k*t - i*k**3*t + 108*k**3 wrt i?
117918*k**3*t + 96*t
What is the third derivative of 2752*s**5 + 951*s**4 - 14437248*s**2 wrt s?
165120*s**2 + 22824*s
Find the second derivative of 2*z**5 - 205111572*z**4 + 399244262*z wrt z.
40*z**3 - 2461338864*z**2
Find the second derivative of -450574856*x**4 + 32429878*x wrt x.
-5406898272*x**2
Find the third derivative of 2*w**5 - 302310*w**4 - 3*w**3 + 5766159*w**2 + 2 wrt w.
120*w**2 - 7255440*w - 18
What is the first derivative of 2715*f**4 + f**2 + 293*f + 111562553?
10860*f**3 + 2*f + 293
Find the first derivative of -110251778*n + 81157578.
-110251778
What is the third derivative of -9682327*l*x**3 + 4*l*x**2 + 14*l*x + l + 444*x**2 wrt x?
-58093962*l
Find the first derivative of -17622543*h + 14988515.
-17622543
Differentiate -142166668*b**4 - 152161954.
-568666672*b**3
Find the third derivative of -4*i**4 + 11531218*i**3 + 6192*i**2 + 25261 wrt i.
-96*i + 69187308
What is the second derivative of 1138869405*v**3 - 994177443*v wrt v?
6833216430*v
What is the second derivative of -5*i**5 + 7693*i**4 + 17*i**2 + 10096949*i wrt i?
-100*i**3 + 92316*i**2 + 34
What is the second derivative of -238*x*z**2 - 15*x*z + 4*x - 82484*z**2 + 20128*z wrt z?
-476*x - 164968
What is the third derivative of 27*b*d*g*n**3 - 2*b*d*g - 2*b*d + 418*b*g*n**3 - b*g + 4*b*n**2 - 29*d*g*n**2 - 246*d*g - 281*d*n**3 wrt n?
162*b*d*g + 2508*b*g - 1686*d
Find the first derivative of -144945535*b*m*z - 35*m - 90995*z - 1 wrt b.
-144945535*m*z
What is the second derivative of -9*m**2*q**2 - m**2*q - 1044392*m**2 + 4744836*m*q + 7*q**2 wrt m?
-18*q**2 - 2*q - 2088784
Find the second derivative of -282*n**5 + 5*n**4 + 2346*n**2 + 289944*n - 1 wrt n.
-5640*n**3 + 60*n**2 + 4692
Differentiate -2670173*p**4 - 5339863 wrt p.
-10680692*p**3
Find the second derivative of -30937683*b**2 - 8674273*b.
-61875366
What is the derivative of -2998651*p**3 - 10294472?
-8995953*p**2
Find the third derivative of 43433867*l*o**5 + 29*l*o**2 - 218*l*o + 52*l - o**2 + o wrt o.
2606032020*l*o**2
What is the second derivative of 5961302*p**2 + 20246156*p?
11922604
What is the derivative of -181*m*y**2 - 32*m*y + 36452780*m - 2*y**2 + 62*y wrt y?
-362*m*y - 32*m - 4*y + 62
What is the third derivative of 15255214*o**3 - 87275609*o**2?
91531284
Differentiate 16945614*x + 60418237.
16945614
What is the third derivative of -2*p**4 - 11668245*p**3 + 2*p**2 + 15990221*p wrt p?
-48*p - 70009470
What is the third derivative of -169630852*i**3 + 30610*i**2 + 135*i?
-1017785112
Find the second derivative of 25*j*t**3 - 16*j*t**2 - 3062*j*t + 8602*t**2 - 20253*t wrt t.
150*j*t - 32*j + 17204
What is the second derivative of 3146264*r**2 + 271288*r - 14 wrt r?
6292528
Find the third derivative of -38027297*o**3 + 104483*o**2 + 2*o - 146.
-228163782
Find the second derivative of -r**4 - 16383257*r**3 + 7*r**2 + 1139244806*r.
-12*r**2 - 98299542*r + 14
Find the second derivative of -39916713*d**3 - 19616991*d wrt d.
-239500278*d
Find the second derivative of -11*i**4 + 3052823*i**2 + 2634*i + 12539 wrt i.
-132*i**2 + 6105646
What is the third derivative of 6262483*h**3*j + h**2*j + 3*h**2 - 6466*h*j + 17*h wrt h?
37574898*j
What is the second derivative of 224*s**5 - 2*s**3 - 27917*s**2 - 2547176*s - 2?
4480*s**3 - 12*s - 55834
Find the third derivative of -111497230*n**4 + 60414126*n**2.
-2675933520*n
Find the second derivative of 198742*m**5 + 2*m**4 - 62*m**2 + 53572651*m wrt m.
3974840*m**3 + 24*m**2 - 124
Find the third derivative of -16920*q**3*t**3 + q**3*t**2 - 9023*q**3*t - 123*q*t - q + 10995*t**4 - t**2 + t wrt t.
-101520*q**3 + 263880*t
What is the third derivative of -200498151*p**3 + 1338793*p**2 + 56*p wrt p?
-1202988906
Find the second derivative of -57306*b**2*v**3 - b**2*v + 6*b**2 - 4*b*v - 29*v**4 + 55 wrt v.
-343836*b**2*v - 348*v**2
Differentiate -5870153*o + 14265088 wrt o.
-5870153
What is the third derivative of -7*k**6 + 473*k**4 - 58*k**3 - 141*k**2 + 28710*k wrt k?
-840*k**3 + 11352*k - 348
Differentiate -837918634*j + 172962447 wrt j.
-837918634
What is the derivative of 48458212*d**3 + d**2 + 52456285 wrt d?
145374636*d**2 + 2*d
Differentiate 719166*c**2 - 11066481 with respect to c.
1438332*c
What is the third derivative of 7*h**5 - 5761*h**4 + 40*h**3 + 49371*h**2 + 29?
420*h**2 - 138264*h + 240
What is the third derivative of 24*x**4 - 76850*x**3 + 146968*x**2 + 19?
576*x - 461100
Find the second derivative of -132*u**4 + 66*u**3 - 109*u**2 + 3332314*u wrt u.
-1584*u**2 + 396*u - 218
Find the first derivative of 186130094*w**4 + 179064666.
744520376*w**3
Find the second derivative of 773456667*n**2*s**2 + 2750559*n*s**2 + 4*n*s - 4*s**2 - s + 1 wrt n.
1546913334*s**2
Find the second derivative of 182441161*d**4*m**2 - 7*d*m**2 + 3*d*m + 117*d - 27*m**2 - 18*m wrt d.
2189293932*d**2*m**2
Find the second derivative of -15258*l**5 - 15717*l**4 - 86117634*l - 2.
-305160*l**3 - 188604*l**2
What is the third derivative of -61838386*j**3 + 5825054*j**2 + 21?
-371030316
Find the first derivative of 149024579*o**2 + 171023987.
298049158*o
What is the first derivative of -646526*d**4 - 7*d**3 - 12*d**2 - 1027440749 wrt d?
-2586104*d**3 - 21*d**2 - 24*d
What is the second derivative of 378964990*x**2 - 182051199*x wrt x?
757929980
What is the first derivative of -897*q**2 + 24797*q + 66397412?
-1794*q + 24797
What is the third derivative of 155*o**6 - 9671*o**3 + 14764*o**2 - 43*o - 1 wrt o?
18600*o**3 - 58026
Find the second derivative of -91796299*k**2 + 32916773*k wrt k.
-183592598
Differentiate 739957983*c - 767415593.
739957983
Find the third derivative of 24423555*c**3 - 8947247*c**2 - 2*c.
146541330
Find the second derivative of -39165*m*q**2*v**2 - 309*m*q*v**2 + m*q + 14*q**2*v + 2*q*v + 160214*v wrt v.
-78330*m*q**2 - 618*m*q
Find the second derivative of -2*d**4 - 16928*d**3 - 112*d**2 - 24636147*d.
-24*d**2 - 101568*d - 224
Find the first derivative of 1032127*w**3 + 9*w**2 - 96214472 wrt w.
3096381*w**2 + 18*w
What is the first derivative of 98108*g*r + 2327*g - 2*r - 86944726 wrt g?
98108*r + 2327
Find the second derivative of 2*n**3 - 1179654*n**2*p**2 + 2016*n + 43820*p**2 wrt n.
12*n - 2359308*p**2
Find the second derivative of 20*k**3*r**5 - 13444*k**3*r + 70524*k**2*r**2 - 48*k*r wrt r.
400*k**3*r**3 + 141048*k**2
What is the third derivative of -12493863*g**3 - 2277495*g**2 + 4*g?
-74963178
What is the derivative of -74567*l**4 + 75*l**3 + 28594289?
-298268*l**3 + 225*l**2
Find the third derivative of 3856159*u**3 - 193*u**2 - 364*u + 1.
23136954
What is the third derivative of -1922092*i**3 + 29428184*i**2?
-11532552
What is the third derivative of 1957*d**2*m**3 - 4408*d**2*m**2*y**2 - 2*d**2*m**2*y + 2*d**2*m**2 - 68383*d*m**3*y**3 - 8*d*m**2*y - 2*d*m*y**3 + m**2*y wrt m?
11742*d**2 - 410298*d*y**3
What is the third derivative of -86*n**4 - 1655*n**3 - 140*n**2 - 70277*n wrt n?
-2064*n - 9930
Differentiate -32947789*b**2 - 21080032.
-65895578*b
Find the third derivative of a**5 + 73797722*a**3 - 758*a**2 + 41615.
60*a**2 + 442786332
What is the second derivative of 32*t**5 + 160773*t**3 - 685268*t - 7 wrt t?
640*t**3 + 964638*t
Differentiate 115*d**3 - 58381*d**2 + 20301801 with respect to d.
345*d**2 - 116762*d
What is the second derivative of -26*o**3 + 47959*o**2 + 7009*o + 4006?
-156*o + 95918
What is the first derivative of 1193*p**3*w + 2*p**3 - 4*p**2 - 7*p*w - 43*w - 406193 wrt w?
1193*p**3 - 7*p - 43
Differentiate 359556*o**2*r - 5*o*r + 13063426*r with respect to o.
719112*o*r - 5*r
Find the first derivative of -24*k**3*m - 55*k**3*o + k**3 - 39*k*o + 4*m**3*o - 572*m*o - 26*o wrt m.
-24*k**3 + 12*m**2*o - 572*o
Find the third derivative of 15*l**3*m**2*y - 94244*l**3*m*y**2 - l**2*m**2*y**2 + 4*l**2*y**2 - l**2 - 2*l*m*y**2 + 6*l*m*y - 23*m*y**2 wrt l.
90*m**2*y - 565464*m*y**2
Differentiate 1134*f**3*t + 2230696*f**3 + 4*f**2 - 990*f*t**3 with respect to t.
1134*f**3 - 2970*f*t**2
What is the second derivative of -3581013*l**3*u**2 + 33*l**3*u - 49364*l**3 - 3*l**2*u**3 wr
|
{
"pile_set_name": "DM Mathematics"
}
|
3470. What is p(24)?
-266
Let c(y) = y**2 - 9747*y + 165413. Give c(17).
3
Let c(d) = -d**3 + 283*d**2 - 13563*d + 4643. Determine c(222).
-19
Let r(i) = -36301*i + 726020. What is r(20)?
0
Let t(d) = -d**3 + 3*d**2 - 24*d - 23. Give t(-7).
635
Let w(h) = h**3 + 586*h**2 + 581*h - 2326. Determine w(-585).
14
Let p(q) = q**3 + 690*q**2 + 19197*q + 18590. Determine p(-661).
82
Let d(m) = m**3 + 4*m**2 - 2202*m - 6644. Give d(-3).
-29
Let z(n) = 41747*n - 1001929. Calculate z(24).
-1
Let y(t) = 7*t**2 - 12*t + 39. Give y(0).
39
Let h(m) = -m**3 - 85*m**2 + 1730*m + 10413. Determine h(21).
-3
Let t(a) = -2*a**2 - 225*a + 208. Calculate t(0).
208
Let x(b) = 3*b**3 - 83*b**2 + 77*b + 124. Determine x(27).
745
Let l(t) = -18171*t + 963104. Calculate l(53).
41
Let b(h) = 11*h**2 + 653*h + 8942. Give b(-22).
-100
Let h(v) = 13748*v + 824727. Calculate h(-60).
-153
Let q(k) = -k**3 - 198*k**2 - 679*k + 55182. Determine q(-193).
-16
Let i(n) = 300*n - 2992. Calculate i(14).
1208
Let l(p) = -21*p**2 - 609*p + 502. What is l(-28)?
1090
Let p(a) = -20*a**2 - 160*a - 131. What is p(-1)?
9
Let q(c) = -93*c - 12839. Determine q(-125).
-1214
Let w(n) = 6561*n**2 + 14165199*n + 3. Give w(-2159).
3
Let z(g) = -2*g**3 - 80*g**2 + 1470*g + 56916. What is z(-41)?
8
Let j(w) = 205*w**2 - 166*w + 753. Determine j(5).
5048
Let s(g) = 5*g**3 + 365*g**2 + 270*g - 6506. Determine s(-72).
-26
Let l(c) = 13482*c - 377535. Calculate l(28).
-39
Let m(b) = 7*b**3 - 179*b**2 - 85*b + 292. What is m(26)?
110
Let u(x) = x**3 - 4*x**2 - 2695*x + 10786. Determine u(4).
6
Let d(c) = -c**3 - 238*c**2 - 9801*c + 763. Determine d(-185).
23
Let y(l) = 2145*l + 536157. Determine y(-250).
-93
Let y(i) = -i**3 - i**2 + 406*i - 3013. What is y(11)?
1
Let p(d) = -166563*d + 832819. Calculate p(5).
4
Let t(j) = 5*j**2 + 125*j + 835. What is t(-23)?
605
Let l(x) = 18454*x + 664361. Calculate l(-36).
17
Let v(b) = 3*b**3 + 415*b**2 + 194*b + 8003. What is v(-138)?
275
Let p(t) = -143*t**2 + 116*t + 117. Give p(-1).
-142
Let u(v) = 2*v**2 - 107*v + 1314. Give u(21).
-51
Let z(j) = -j**3 + 45*j**2 - 485*j + 51. Determine z(19).
222
Let a(w) = w**3 - 936*w**2 - 62944*w - 435. Give a(-63).
6
Let c(w) = 109123*w**2 - 327358*w - 7. Give c(3).
26
Let g(s) = -6*s**2 - 309*s - 1061. Calculate g(-48).
-53
Let n(a) = -5*a**3 + 2*a**2 - 4718*a + 4715. Determine n(1).
-6
Let t(f) = -411*f - 1529. Give t(4).
-3173
Let u(o) = 9*o**2 + 157*o + 370. What is u(-3)?
-20
Let w(a) = a**2 + 361*a + 9324. What is w(-333)?
0
Let y(l) = 3*l**2 + 17154*l - 223519. Determine y(13).
-10
Let i(q) = q**3 + 282*q**2 + 15*q - 74747. Determine i(-281).
-1
Let x(v) = -4*v**2 - 378*v + 300769. Give x(231).
7
Let t(d) = -8056*d + 88646. Determine t(11).
30
Let m(h) = 4*h**3 + 87*h**2 + 409*h + 30. Determine m(-7).
58
Let h(c) = -9*c**3 - 49*c**2 - 15*c + 18. Give h(-5).
-7
Let g(r) = -r**3 + 14*r**2 + 152*r - 2184. Determine g(13).
-39
Let q(a) = -175*a**2 + 10266*a - 20528. Calculate q(2).
-696
Let d(y) = 25*y + 1604. Calculate d(-88).
-596
Let y(b) = -30*b**3 + 2*b**2 - 2378*b - 9502. Give y(-4).
1962
Let t(k) = -343*k**2 + 452418*k - 1333. What is t(1319)?
-14
Let a(w) = 6*w**3 - 430*w**2 + 2947*w - 186. Determine a(64).
6
Let r(o) = 197*o + 196. Give r(-2).
-198
Let g(c) = -647*c - 11780. Calculate g(-18).
-134
Let h(a) = -3*a**3 - 3*a**2 - 228*a + 1023. Give h(4).
-129
Let c(a) = 2298*a + 13842. What is c(-6)?
54
Let n(k) = -k**3 - 485*k**2 + 222631*k - 2005. Calculate n(288).
11
Let b(h) = -h**2 + 17019*h - 390911. Determine b(23).
-3
Let v(i) = -5*i**3 - 24*i**2 - 55*i - 202. Determine v(-4).
-46
Let g(z) = -193*z**3 - 140*z**2 - 116*z + 24. Calculate g(-1).
193
Let x(c) = 15*c**2 - 265*c - 3947. Determine x(27).
-167
Let l(d) = -82*d**2 - 350*d - 53. Calculate l(-6).
-905
Let h(r) = r**3 - 120*r**2 + 2*r - 1661. Determine h(0).
-1661
Let k(i) = -15603*i - 202565. Give k(-13).
274
Let b(l) = -25058*l + 50114. Give b(2).
-2
Let x(m) = -2465*m - 157862. What is x(-64)?
-102
Let d(k) = -68*k + 11624. Give d(171).
-4
Let m(z) = 545*z - 3317. Determine m(6).
-47
Let b(z) = -z**2 + 354*z - 14955. What is b(305)?
-10
Let m(q) = -q**2 - 14490*q - 289472. What is m(-20)?
-72
Let h(i) = 187*i**3 - 12*i**2 + 14*i - 7. Calculate h(-3).
-5206
Let y(f) = 7149*f - 179167. Determine y(25).
-442
Let d(i) = -47062*i + 37. What is d(0)?
37
Let x(n) = -5471*n + 27540. What is x(5)?
185
Let a(w) = 10*w**2 - 34*w - 16970. Give a(-39).
-434
Let j(i) = -155*i**2 - 15426*i + 7411. What is j(-100)?
11
Let r(i) = -67814*i - 203370. What is r(-3)?
72
Let h(j) = 3226*j - 122599. Give h(38).
-11
Let s(l) = 2638*l - 31524. Give s(12).
132
Let p(a) = -590*a - 10296. Determine p(-17).
-266
Let y(k) = -288*k - 32843. Determine y(-114).
-11
Let t(m) = 25264*m - 2223199. Calculate t(88).
33
Let p(d) = -3071*d + 2118871. Determine p(690).
-119
Let g(i) = -2165*i + 61481. What is g(28)?
861
Let w(k) = 2*k**2 + 72*k - 328. Calculate w(-35).
-398
Let h(v) = 5*v**3 + 436*v**2 + 9416*v - 2757. Determine h(-46).
3
Let j(l) = -14*l**2 + 3689*l - 2654. What is j(263)?
-813
Let o(v) = -23*v - 235. Give o(-4).
-143
Let y(u) = -u**2 - 250953*u - 7025899. What is y(-28)?
1
Let o(d) = 3*d**2 + 7716*d - 46408. What is o(6)?
-4
Let f(z) = 10*z**3 - 70*z**2 - 132*z + 10. Calculate f(-2).
-86
Let l(u) = -8*u**2 - 6465*u + 201163. What is l(30)?
13
Let n(l) = -3*l**2 - 607*l + 6146. Calculate n(-212).
-2
Let a(t) = -6*t**2 - 137*t + 3179. Give a(-37).
34
Let u(s) = s**3 - 154*s**2 - 4073*s + 281. Calculate u(177).
-73
Let y(a) = 842*a + 8444. Give y(-10).
24
Let s(b) = 4560*b + 109385. What is s(-24)?
-55
Let j(q) = -25*q**3 + 53*q**2 - 198*q + 563. Give j(3).
-229
Let w(h) = -92668*h - 463391. Give w(-5).
-51
Let s(p) = -753*p - 304061. Give s(-405).
904
Let h(f) = f**3 + 7*f**2 - 299*f + 618. Give h(2).
56
Let q(o) = -2418*o**2 + 4761*o + 45. Give q(2).
-105
Let r(n) = n**3 - 14*n**2 - 64*n + 141. Give r(16).
-371
Let h(b) = -26214*b - 131102. What is h(-5)?
-32
Let p(o) = -334*o**2 + 841*o - 841. What is p(1)?
-334
Let x(i) = -4*i**2 - 11485*i - 34408. Give x(-3).
11
Let h(y) = -y**3 - 258*y**2 - 1025*y - 55. Give h(-4).
-19
Let r(z) = 7518*z - 15828. What is r(2)?
-792
Let b(d) = -d**3 - 128*d**2 - 134*d - 1455. Determine b(-127).
-566
Let f(c) = -342*c**3 - 18*c**2 - c + 1. Calculate f(-2).
2667
Let o(c) = -19734*c + 276322. Calculate o(14).
46
Let u(g) = 21*g**2 - 1565*g - 167. Determine u(74).
-981
Let h(i) = -6*i**3 - 894*i**2 - 98*i - 14520. Calculate h(-149).
82
Let m(t) = t**2 - 2376*t + 393294. Calculate m(179).
31
Let o(y) = 97*y - 13199. Determine o(117).
-1850
Let q(j) = 3*j**3 - 6*j**2 - 10*j + 64. Determine q(4).
120
Let p(h) = 377*h**2 + 52484*h + 11262. Calculate p(-139).
3
Let j(r) = -r**3 + 12*r**2 + 1706*r - 24986. Calculate j(15).
-71
Let a(w) = 2*w**3 + 74*w**2 - 1679*w - 31. Determine a(-53).
-932
Let l(s) = -s**2 + 133*s - 647. Calculate l(5).
-7
Let v(w) = 40*w**2 + 18*w - 87. Calculate v(5).
1003
Let j(p) = -5*p**2 - 52*p - 230. Determine j(-6).
-98
Let c(p) = 348310*p - 2786417. Determine c(8).
63
Let f(v) = -3*v**3 + 89*v**2 - 166*v + 235. Give f(28).
-493
Let b(a) = 182*a**2 + 47866*a - 9. Calculate b(-263).
-9
Let b(m) = -2*m**2 + 1656*m - 4919. Give b(3).
31
Let c(p) = -105*p**2 + 95*p + 316. Determine c(-4).
-1744
Let t(a) = -603*a**2 - 10*a + 16. Calculate t(-1).
-577
Let u(m) = -303*m + 1067. Give u(-2).
1673
Let j(w) = -w**3 - 3*w**2 - 18116*w - 330938. Determine j(-18).
10
Let h(u) = 2664*u - 15999. Give h(6).
-15
Let v(r) = r**3 + 14*r**2 + 285*r + 7186. What is v(-19)?
-34
Let u(p) = 370*p**2 + 550*p - 6. Calculate u(-3).
1674
Let a(z) = z**3 - 57*z**2 - 314*z - 19. Give a(-5).
1
Let o(b) = -288*b + 37814. Give o(131).
86
Let o(h) = h**3 + 197*h**2 - 1440*h - 2239. Determine o(-204).
209
Let q(t) = 185*t + 7971. Determine q(-43).
16
Let z(s) = 11612*s - 20385. What is z(2)?
2839
Let v(b) = b**2 + 426777*b + 2133854. Give v(-5).
-6
Let f(d) = 53*d + 4429. What is f(-84)?
-23
Let s(w) = 13*w**2 - 4703*w - 43409. What is s(-9)?
-29
Let p(x) = 2829*x + 288235. Give p(-102).
-323
Let d(q) = -10*q**2 + 392*q + 5397. Calculate d(50).
-3
Let z(m) = -2*m**3 + 100*m**2 - 101*m + 16073. Calculate z(52).
5
Let k(y) = -2*y**3 + 297*y**2 + 145*y
|
{
"pile_set_name": "DM Mathematics"
}
|
replacement from iipyyl?
1/15
Three letters picked without replacement from {k: 2, n: 2, t: 3, r: 2}. Give prob of sequence krr.
1/126
Calculate prob of sequence hvfs when four letters picked without replacement from {f: 2, s: 2, h: 3, v: 2}.
1/126
Calculate prob of sequence yry when three letters picked without replacement from {y: 4, f: 1, r: 3}.
3/28
Three letters picked without replacement from {o: 1, u: 3}. What is prob of sequence uou?
1/4
Three letters picked without replacement from loaaallkal. Give prob of sequence ala.
1/15
What is prob of sequence ddy when three letters picked without replacement from {p: 6, d: 3, g: 1, y: 9}?
3/323
Four letters picked without replacement from {v: 2, u: 9, i: 2}. What is prob of sequence iuuu?
42/715
Four letters picked without replacement from hpppphhhhhhhhphphhp. What is prob of sequence hhhh?
165/1292
Two letters picked without replacement from {u: 1, b: 1, n: 11}. Give prob of sequence bu.
1/156
What is prob of sequence dad when three letters picked without replacement from aivddvaaddaaaaaiad?
5/136
Three letters picked without replacement from {r: 11, j: 1, l: 2, p: 1}. What is prob of sequence pjl?
1/1365
Three letters picked without replacement from {a: 2, h: 1, m: 4, d: 9, n: 1}. What is prob of sequence ahd?
3/680
What is prob of sequence yvvv when four letters picked without replacement from yvvyvvvvvvyvvvvvvvyy?
455/3876
Three letters picked without replacement from fvvvf. Give prob of sequence vff.
1/10
Three letters picked without replacement from trspr. What is prob of sequence tpr?
1/30
What is prob of sequence axc when three letters picked without replacement from gyycaappx?
1/252
Calculate prob of sequence ppsy when four letters picked without replacement from {x: 2, s: 1, j: 2, y: 1, p: 2}.
1/840
Two letters picked without replacement from {j: 1, r: 1, m: 1, y: 1, e: 3}. What is prob of sequence mr?
1/42
Four letters picked without replacement from wydywd. What is prob of sequence wdyy?
1/45
What is prob of sequence dd when two letters picked without replacement from vopoooodoonmmoododm?
1/57
Two letters picked without replacement from xxx. What is prob of sequence xx?
1
Three letters picked without replacement from reee. Give prob of sequence ree.
1/4
Three letters picked without replacement from {h: 1, j: 2, k: 1, y: 1}. What is prob of sequence jky?
1/30
Two letters picked without replacement from {p: 4, z: 4, o: 1, g: 1}. What is prob of sequence go?
1/90
Three letters picked without replacement from {s: 5, r: 8, k: 2}. What is prob of sequence ssr?
16/273
What is prob of sequence bbb when three letters picked without replacement from jlljbbbjjbbbb?
35/286
Four letters picked without replacement from jujojjujjj. Give prob of sequence ujjj.
1/12
Calculate prob of sequence fsgs when four letters picked without replacement from {g: 7, f: 5, s: 8}.
49/2907
Two letters picked without replacement from iuhuhuikiuuk. Give prob of sequence ui.
5/44
Calculate prob of sequence sv when two letters picked without replacement from {v: 3, s: 2, q: 3}.
3/28
Four letters picked without replacement from msrthsr. What is prob of sequence mrht?
1/420
Three letters picked without replacement from {a: 2, q: 16}. What is prob of sequence aqa?
1/153
Calculate prob of sequence ko when two letters picked without replacement from fkzttfpkkpzfpto.
1/70
What is prob of sequence pjwu when four letters picked without replacement from {p: 5, u: 8, j: 1, w: 4}?
1/459
What is prob of sequence rr when two letters picked without replacement from rrrrr?
1
Calculate prob of sequence rr when two letters picked without replacement from qahrraop.
1/28
Two letters picked without replacement from {k: 2, r: 1}. What is prob of sequence kk?
1/3
What is prob of sequence faa when three letters picked without replacement from aaaaafaaaaaaffaaaaaa?
34/285
What is prob of sequence ln when two letters picked without replacement from lllcnaclnaccccn?
2/35
Two letters picked without replacement from mjjmmmmmpjlmlpeeeem. What is prob of sequence ej?
2/57
Calculate prob of sequence mmhm when four letters picked without replacement from {h: 3, m: 4, t: 1}.
3/70
Three letters picked without replacement from {t: 4, s: 2, x: 2, e: 1, j: 1, n: 4}. Give prob of sequence ntx.
4/273
Calculate prob of sequence uuu when three letters picked without replacement from uuu.
1
Four letters picked without replacement from {u: 1, j: 1, z: 2, f: 1, t: 7, o: 5}. What is prob of sequence jfzu?
1/28560
Two letters picked without replacement from {f: 5, q: 4, d: 3}. What is prob of sequence ff?
5/33
Three letters picked without replacement from {c: 1, i: 2, x: 5, h: 8, m: 1}. What is prob of sequence xii?
1/408
Three letters picked without replacement from {s: 1, j: 6, q: 2, c: 4, l: 1, x: 1}. What is prob of sequence jxl?
1/455
Calculate prob of sequence mg when two letters picked without replacement from zkwgkgkwmlwmkkllglww.
3/190
Two letters picked without replacement from ccccccccvccv. Give prob of sequence vv.
1/66
Calculate prob of sequence wo when two letters picked without replacement from {z: 5, u: 8, y: 3, w: 3, o: 1}.
3/380
Three letters picked without replacement from {i: 2, w: 1}. What is prob of sequence wii?
1/3
Two letters picked without replacement from {z: 7, g: 2}. Give prob of sequence zz.
7/12
Three letters picked without replacement from {d: 2, x: 3, v: 2, e: 8, m: 2}. What is prob of sequence mxv?
1/340
Four letters picked without replacement from luuuuuuluuu. Give prob of sequence ulul.
1/55
What is prob of sequence yg when two letters picked without replacement from {g: 2, a: 6, y: 4}?
2/33
Calculate prob of sequence zy when two letters picked without replacement from yccgyzyygggggyyyyx.
4/153
Two letters picked without replacement from ttyyyy. Give prob of sequence tt.
1/15
Three letters picked without replacement from lmluluuumummluumlmm. Give prob of sequence luu.
35/969
What is prob of sequence mm when two letters picked without replacement from {n: 2, m: 6}?
15/28
Calculate prob of sequence ve when two letters picked without replacement from {b: 3, v: 2, f: 3, e: 6, m: 1, t: 5}.
3/95
Calculate prob of sequence mkpa when four letters picked without replacement from mpkmapkkmkkpkapkkpk.
15/5168
Calculate prob of sequence qgsg when four letters picked without replacement from {s: 3, q: 3, g: 2}.
3/280
Calculate prob of sequence mp when two letters picked without replacement from {m: 3, p: 3}.
3/10
Calculate prob of sequence vo when two letters picked without replacement from rvoiiriviroiiirrii.
2/153
Two letters picked without replacement from monmoinfmnnssm. Give prob of sequence mm.
6/91
Four letters picked without replacement from {r: 11, z: 3}. What is prob of sequence rrzz?
5/182
Three letters picked without replacement from zyigyi. What is prob of sequence iiz?
1/60
Two letters picked without replacement from {n: 4, u: 4, f: 4, m: 2, l: 4, b: 1}. Give prob of sequence mf.
4/171
Two letters picked without replacement from {e: 4, p: 6, v: 9}. What is prob of sequence ee?
2/57
Three letters picked without replacement from {q: 1, m: 1, e: 3, u: 4, a: 2}. What is prob of sequence uea?
4/165
Two letters picked without replacement from {y: 1, v: 2, r: 3, m: 1}. Give prob of sequence yr.
1/14
What is prob of sequence ut when two letters picked without replacement from {t: 1, c: 3, u: 1}?
1/20
Three letters picked without replacement from {z: 4, y: 3}. What is prob of sequence zyz?
6/35
Four letters picked without replacement from {f: 1, h: 1, b: 2, j: 2, r: 2}. Give prob of sequence rbjb.
1/210
Four letters picked without replacement from {d: 3, x: 7}. What is prob of sequence xxdd?
1/20
What is prob of sequence zwzw when four letters picked without replacement from {z: 1, o: 5, k: 2, w: 3, r: 1, t: 1}?
0
Three letters picked without replacement from {y: 1, l: 3, k: 2, i: 5, w: 1}. What is prob of sequence ilw?
1/88
Two letters picked without replacement from {x: 1, c: 2, i: 1, m: 2}. Give prob of sequence cm.
2/15
Three letters picked without replacement from {p: 1, b: 2, a: 3, y: 5, o: 6, i: 3}. Give prob of sequence ypb.
1/684
What is prob of sequence bk when two letters picked without replacement from {p: 7, x: 2, b: 2
|
{
"pile_set_name": "DM Mathematics"
}
|
66. Let t = -22 + 24. Let r(h) = 5*h + 5*h - t*h. Determine r(i(a)).
24*a
Let q(n) = -2*n**2. Let g(i) = -4*i - 48. Let x be (-2)/1 - 8/(-72)*-9. Let m(f) = 3. Let j(p) = x*g(p) - 48*m(p). Calculate j(q(b)).
-24*b**2
Let v(x) = -25*x**2. Let w(t) = -5 + t + 5*t - 39 + 2*t. Let d be w(6). Let j(s) = s - s - 2*s + d*s. Calculate j(v(r)).
-50*r**2
Let b(i) = 50183*i**2 + 10*i. Let m(x) = -17*x**2. Calculate b(m(q)).
14502887*q**4 - 170*q**2
Let t(a) = -4*a**2. Let g(i) = -i**2 - 6. Let l be 1 + 1 - (-1 + 2). Let j(d) = -2 + 2 - l + 2. Let b(p) = g(p) + 6*j(p). Determine t(b(v)).
-4*v**4
Let w(k) = -2147049*k. Let v(r) = 20*r**2. What is w(v(b))?
-42940980*b**2
Let v(s) = -3*s**2. Let k(d) = 186*d + 3. Let u be k(0). Let w(z) be the third derivative of 31*z**2 + 0*z + 0 + 0*z**u - 1/2*z**4. What is v(w(b))?
-432*b**2
Let r(w) = 9104*w. Let n(l) = 7*l**2 + 5. Let i(c) = 48*c**2 + 35. Let m(a) = -2*i(a) + 14*n(a). Give r(m(p)).
18208*p**2
Let r(y) be the third derivative of -37/12*y**5 + 0*y + 0*y**3 - 164*y**2 + 0 + 0*y**4. Let w(d) = -2*d. Calculate r(w(x)).
-740*x**2
Let q(r) be the third derivative of r**5/60 - 266*r**2. Let f(d) = d + 7. Let y(s) = 2*s + 8. Let x(j) = 6*f(j) - 4*y(j). Calculate x(q(l)).
-2*l**2 + 10
Let m(i) = -9*i. Let y(d) = 12307*d**2 + 718. Give y(m(n)).
996867*n**2 + 718
Let i(j) = -9 - 1810*j + 1 + 8 + 1873*j. Let t(h) = -2*h. Calculate t(i(s)).
-126*s
Let p = 20 + -17. Let i(o) = -3*o**2 + 3*o**2 + 4*o**2 - p*o**2. Let b(d) = -2*d**2 - 3*d - 3. Let z(y) = -4*y - 4. Let u(q) = 4*b(q) - 3*z(q). Give i(u(h)).
64*h**4
Let k(g) be the third derivative of 15*g**2 + 0*g**3 + 11/10*g**5 + 0*g + 0*g**4 + 0. Let c(d) = 2*d. Calculate k(c(b)).
264*b**2
Let y(p) = -10*p - 26. Let c(h) = -6*h - 13. Let f(v) = -2*c(v) + y(v). Let t(i) = -i - 1055. Determine t(f(l)).
-2*l - 1055
Let y(r) = 21*r**2. Let c = -17 - -19. Let o(l) = -156*l + 4*l**c + 156*l. Give y(o(p)).
336*p**4
Let h(w) = -3*w + 26. Let s(c) = -166158 + 2*c + 166158. Give s(h(u)).
-6*u + 52
Let k(i) = 1522381 + 2*i - 3044757 + 1522376. Let a(z) = -47*z - 37*z - 9*z. Give a(k(c)).
-186*c
Let f(w) = -5*w. Let s(j) = -j**2 + 17*j + 64. Let v be s(-3). Let i(t) = 5*t. Let n(d) = v*f(d) + 5*i(d). Let u(b) = 17*b**2. Give n(u(a)).
85*a**2
Suppose -u - 2*u - v + 250 = 0, 5*v = u - 78. Suppose 103 = 4*i - 5*j, u = 3*i - 0*i + 2*j. Let t(r) = -30*r - 19*r + i*r. Let m(b) = 3*b. Calculate t(m(k)).
-66*k
Let k(c) be the first derivative of 0*c**2 + 14*c + 1/6*c**3 + 4. Let y(x) be the first derivative of k(x). Let g(r) = 14*r**2. Determine y(g(q)).
14*q**2
Let b(t) = -2*t - 9 + 5 + 4. Suppose 3*i = -0*i - 3. Let d(g) = g**2. Let s(k) = 3*k**2. Let h(q) = i*s(q) - 4*d(q). Determine b(h(f)).
14*f**2
Let i(y) = 7*y**2. Suppose 0 = -0*b - 4*b - g + 121, 65 = 2*b + 5*g. Let z(w) = 6*w - b*w + 6*w. Calculate z(i(f)).
-126*f**2
Let t(d) be the first derivative of 11*d**5/120 - 53*d**3/3 + d - 9. Let c(n) be the third derivative of t(n). Let m(z) = -z. Determine c(m(u)).
-11*u
Let q(u) = 18 - 187*u - 8 - 10. Let c(t) = 7*t - 5. Let m(y) = -8*y + 6. Let o(b) = -6*c(b) - 5*m(b). Determine o(q(s)).
374*s
Let l(w) = 6*w**2. Let a(p) = -154*p + 213*p - 98*p - 25*p - 95*p. What is a(l(u))?
-954*u**2
Let y(i) be the third derivative of 49*i**5/60 + i**2. Let z(k) = -5*k**2 - 1452*k. Let m(g) = -4*g**2 - 1089*g. Let a(x) = 4*m(x) - 3*z(x). Determine a(y(t)).
-2401*t**4
Let l(c) be the first derivative of 67*c**3/3 - 270. Let b(v) = 15*v. Give l(b(y)).
15075*y**2
Let x(t) = -t**2 - 46*t + 3. Let p(h) = 13*h**2 - 184*h + 12. Let m(a) = -p(a) + 4*x(a). Let v(q) = 140*q - 3. Give v(m(k)).
-2380*k**2 - 3
Let s(g) = -12*g - 5. Let k(j) = 10*j + 4. Let u(v) = 5*k(v) + 4*s(v). Let t be 6/(-12)*(-30)/3. Let x(h) = 3 + t*h - 7*h - 3. Give x(u(a)).
-4*a
Let d(o) = -6*o**2. Let c(z) = -11*z. Let s(q) be the third derivative of 11*q**4/24 - 67*q**2. Let n(m) = -5*c(m) - 4*s(m). Determine n(d(v)).
-66*v**2
Let o(l) = l**2 - 14*l + 41. Let d be o(4). Let m(q) = 36*q**2 + d - 27*q**2 - 6*q**2 - 1. Let v(p) be the first derivative of 4*p**3/3 - 1. Determine m(v(c)).
48*c**4
Let f(b) = -b**2 + 3*b + 3. Let a be (46/14)/1 - 2/7. Let m(y) = -3*y**2 + 7*y + 7. Let p(s) = a*m(s) - 7*f(s). Let k(o) = -3*o**2. Determine p(k(c)).
-18*c**4
Let b(y) = -61*y**2. Let c(q) be the second derivative of q**6/240 - q**4/6 + 7*q**3/2 - q + 140. Let t(l) be the third derivative of c(l). Calculate b(t(i)).
-549*i**2
Let f(v) = -3264847 + 3264847 - 24*v**2. Let c(x) = -211*x. Give f(c(t)).
-1068504*t**2
Let u = -4943 + 7803. Let t(n) = -u*n + 2860*n - 7*n**2. Let h(l) = -7*l. Determine h(t(c)).
49*c**2
Suppose 0 = -r - 2*r + 24. Suppose 2*t = 4*t - r. Let a(c) = t*c + c + 6*c - 5*c. Let u(n) = -n. Give u(a(b)).
-6*b
Let q(o) = -156*o**2 - 485*o**2 - 316*o**2 - 124732*o + 124732*o. Let g(f) = -2*f**2. Determine q(g(a)).
-3828*a**4
Let d(t) = 4*t**2 - 11*t + 4905. Let q(z) = -409*z. Give q(d(s)).
-1636*s**2 + 4499*s - 2006145
Let j(q) = 13*q - 2. Let o(u) = 689363*u. Give j(o(x)).
8961719*x - 2
Let o(q) = -35*q. Let f(u) = 140170*u. What is o(f(h))?
-4905950*h
Let m = 391 - 325. Let i(v) = 9 + 35*v - m*v + 33*v - 9. Let o(x) = -127*x. Calculate i(o(f)).
-254*f
Let j(p) = 29617*p. Let q(r) = -21*r - 2. Give q(j(v)).
-621957*v - 2
Let v(t) = 2*t**2. Let d(g) be the second derivative of 159*g + 5/2*g**2 + 0 + 1/2*g**3. What is v(d(a))?
18*a**2 + 60*a + 50
Let n(t) = -32*t**2. Let v(w) = -32156455*w**2. Give n(v(y)).
-33089203141344800*y**4
Let k(l) = -258*l + 93*l + 78*l + 81*l. Let z(m) = 2*m**2 + 566. Determine z(k(q)).
72*q**2 + 566
Let l(s) = -56*s**2 - 56*s + 14. Let v(h) = -28*h**2 - 24*h + 6. Let m(b) = -3*l(b) + 7*v(b). Let z(w) = 64*w**2. Give m(z(d)).
-114688*d**4
Let f(n) = 456*n**2 + 7. Let y(i) = 9*i**2 + 4. Calculate f(y(l)).
36936*l**4 + 32832*l**2 + 7303
Let d(q) = -q. Let k(w) = 8071*w - 364348. Let n(a) = -2*a + 79. Let s(x) = k(x) + 4612*n(x). Calculate s(d(t)).
1153*t
Let m(n) = -39*n**2. Let q(u) = u**3 + 18*u**2 + 33*u + 19. Let y be q(-16). Let b(l) = -y - 4 + 5 + 2*l**2 + 2. Determine b(m(x)).
3042*x**4
Let g(y) = -2*y - 1456. Let i(k) = -5*k**2 - 7*k - 63. Let q(h) = 2*h**2 + 3*h + 27. Let r(a) = 3*i(a) + 7*q(a). Give g(r(d)).
2*d**2 - 1456
Let p(o) = 2*o**2 - 53*o + 28. Let k be p(26). Let q(b) = -b + b + 109*b**2 - 110*b**k. Let r(s) = -10*s**2. Calculate q(r(j)).
-100*j**4
Let x(p) = -p**2. Let h(z) = 280*z**2 + 336*z**2 - 10*z - 137*z**2 + 4*z. Give h(x(a)).
479*a**4 + 6*a**2
Let x(o) be the first derivative of 53*o**2/2 + 5. Let y(v) = 79*v. Let n(c) = 8*x(c) - 5*y(c). Let r(g) = -184*g**2 - 181*g**2 + 366*g**2. Calculate r(n(z)).
841*z**2
Let j(q) be the first derivative of 23*q**5/30 + 121*q**3/3 + 184. Let b(m) be the third derivative of j(m). Let h(d) = -2*d**2. Determine b(h(a)).
-184*a**2
Let j(l) be the first derivative of 9*l**3 + l**2 - 1885. Let r(g) = 10*g. What is j(r(m))?
2700*m**2 + 20*m
Let j(h) = -9*h - 72. Let r(i) = 3106*i + 1. Determine j(r(m)).
-27954*m - 81
Let s(b) = b. Let z be 921/4 + (0 + 5)/(-20). Suppose -2*h + z = 3*h. Let m(n) = 46 + 22*n - h. Determine s(m(i)).
22*i
Let h(l) be the first derivative of 7*l**2/2 - 286. Let j(o) = -605*o + 2. Determine h(j(u)).
-4235*u + 14
Let u(k) = -7*k + 293*k + 270*k - 106*k. Let d(m) = -20*m. Give u(d(a)).
-9000*a
Suppose -19*p - 6 = -21*p - w, 5*p = 3*w + 26. Let t(c) = -p*c - 9*c - 4*c + 13*c. Let y(j) = 3*j - 12. What is t(y(m))?
-12*m + 48
Let f(s) be the first derivative of 10 + 0*s**2 + 13/3*s**3 + 0*s. Let c(h) = -4*h + 0*h + 2*h. Determine c(f(r)).
-26*r**2
Let l(h) be the third derivative of 101*h**5/30 - h**2. Let q(i) be the first derivative of -i**2 - 25335. Calculate l(q(g)).
808*g**2
Let w(d) = -2*d. Let v(k) = -18354*k**2 + 22*k - 253. Let l(b) = 9177*b**2 - 12*b + 138. Let q(s) = 11*l(s) + 6*v(s). Give q(w(n)).
-36708*n**2
Let v(i) be the first derivative of 16*i**3 + 1406. Let f(a) = 2*a**2. Determine f(v(t)).
4608*t**4
Let u(i) = 4*i**2. Let n(b) = 1880*b + 47. Calculate n(u(o)).
7520*o**2 + 47
Let m(k) be the first derivative of 2*k**3 + 7086. Let x(w) = w**2 + w. Let n be x(1). Let v(i) = -n*i + 2*i + i. Determine v(m(t)).
6*t**2
Suppose 25 = -6*s - 47. Let q be (5/(-15))/(2/s). Let k(c) = 4*c**2 - 5*c**2 + 0*c**q + 5*c*
|
{
"pile_set_name": "DM Mathematics"
}
|
decreasing order.
138, 1, 2/3, -14, -23
Sort 1/994, 4, 53.5, -27.
-27, 1/994, 4, 53.5
Sort 2, -19, -55, -61, 1, -5, 3 in decreasing order.
3, 2, 1, -5, -19, -55, -61
Sort -5, 5, -174, 3, 9, 195, -3 in descending order.
195, 9, 5, 3, -3, -5, -174
Sort 2, -11, 0, 7212, -39, 4 in descending order.
7212, 4, 2, 0, -11, -39
Put -1, 6, -2, -163 in decreasing order.
6, -1, -2, -163
Put 0.5, -1/3, -8, -394, 7, 1 in ascending order.
-394, -8, -1/3, 0.5, 1, 7
Put -10049949, 3, 1.1 in descending order.
3, 1.1, -10049949
Put -0.12, -40, -5583 in decreasing order.
-0.12, -40, -5583
Put 1, -80/9, 0.1, 5/8, -54 in descending order.
1, 5/8, 0.1, -80/9, -54
Sort 94, -1133940, 1 in increasing order.
-1133940, 1, 94
Sort 65/11, -4/7, 0, 0.2839 in increasing order.
-4/7, 0, 0.2839, 65/11
Sort -14, -1/28, -4012/9.
-4012/9, -14, -1/28
Sort -3, 4, 55, 2, -79, -12/7 in decreasing order.
55, 4, 2, -12/7, -3, -79
Put -724, 11, 5, -5, -3, -4 in decreasing order.
11, 5, -3, -4, -5, -724
Sort 3, -0.3, -14651, -141, -5 in descending order.
3, -0.3, -5, -141, -14651
Sort 3, -3, -2, -1758350.
-1758350, -3, -2, 3
Sort 5, 2365, 8/11, -0.04.
-0.04, 8/11, 5, 2365
Put -14, 0, 25176, 5 in ascending order.
-14, 0, 5, 25176
Put -28, 0, -41, 2630, 0.1, 10 in increasing order.
-41, -28, 0, 0.1, 10, 2630
Put 15.42, -274, 3/2, 4, 0.8 in increasing order.
-274, 0.8, 3/2, 4, 15.42
Sort -3, -16, -1, 6, 3, 9123 in increasing order.
-16, -3, -1, 3, 6, 9123
Sort 4, -105/2, 2/83, -0.094.
-105/2, -0.094, 2/83, 4
Sort 9, -6, 486, -59.
-59, -6, 9, 486
Sort 105, -148, -1, 11, 1 in decreasing order.
105, 11, 1, -1, -148
Put 115/19, -0.5, -0.9, 1.99 in ascending order.
-0.9, -0.5, 1.99, 115/19
Put -1, 16, 2, 19471, -3, 8 in descending order.
19471, 16, 8, 2, -1, -3
Put 2, -0.4, -4, 363082/3, 0, 1/3 in increasing order.
-4, -0.4, 0, 1/3, 2, 363082/3
Put -2923/4611, -0.4, 1 in ascending order.
-2923/4611, -0.4, 1
Put -632, -328, 17 in decreasing order.
17, -328, -632
Sort 1.6097, 0.5, -0.12512 in ascending order.
-0.12512, 0.5, 1.6097
Put -12, 8, -328, 3, 4 in increasing order.
-328, -12, 3, 4, 8
Put 1, -153, -13, 2155 in descending order.
2155, 1, -13, -153
Put -5, -8, -20, -4, -9, 4 in increasing order.
-20, -9, -8, -5, -4, 4
Sort 0, -1976, 52, -5, -6.
-1976, -6, -5, 0, 52
Sort -2/7, 3, -0.3, -187669 in ascending order.
-187669, -0.3, -2/7, 3
Sort 3/2, -921, -0.83, 13 in decreasing order.
13, 3/2, -0.83, -921
Sort -4, 1, -2, -190, -153 in decreasing order.
1, -2, -4, -153, -190
Put -3, 115, 1, 17094 in decreasing order.
17094, 115, 1, -3
Put 0, 0.3850021, -1 in decreasing order.
0.3850021, 0, -1
Sort 2371, -2, -17, -0.01, 3 in descending order.
2371, 3, -0.01, -2, -17
Put -3, -316, -2354 in ascending order.
-2354, -316, -3
Put 7.3, -0.65, -4, 0, 2 in increasing order.
-4, -0.65, 0, 2, 7.3
Sort 955, 1, -20, 2, -55, 3 in descending order.
955, 3, 2, 1, -20, -55
Sort -4087, 9, -46 in increasing order.
-4087, -46, 9
Put 0.2, 2, 31, -3.05, 4, -5, 6/7 in increasing order.
-5, -3.05, 0.2, 6/7, 2, 4, 31
Sort -1/6, 2/5, 13405481 in descending order.
13405481, 2/5, -1/6
Sort 5.012, 0, 2, 0.7304 in decreasing order.
5.012, 2, 0.7304, 0
Put -43756, -4, -3, -211 in increasing order.
-43756, -211, -4, -3
Sort -2/9, -2/3, -443461 in decreasing order.
-2/9, -2/3, -443461
Sort -54, -65, -1, -6, 4, -4, -5.
-65, -54, -6, -5, -4, -1, 4
Sort -0.015, 0.4, -51.675, -1/4, -4 in descending order.
0.4, -0.015, -1/4, -4, -51.675
Put 4/3, 1/2, -95335, 22/3 in decreasing order.
22/3, 4/3, 1/2, -95335
Put 187, 1, 6, -5, 2, -96 in ascending order.
-96, -5, 1, 2, 6, 187
Put -4889, -2, -1, 239 in increasing order.
-4889, -2, -1, 239
Sort 880, -238, 3, -4 in increasing order.
-238, -4, 3, 880
Put -2, -5.29, 0, 4, 3, 1, 5 in ascending order.
-5.29, -2, 0, 1, 3, 4, 5
Put -1, -2, 3, -9, -3, -50 in ascending order.
-50, -9, -3, -2, -1, 3
Put 82, 7763, 5, 44 in descending order.
7763, 82, 44, 5
Sort -3865, -12, -6 in ascending order.
-3865, -12, -6
Sort -4, -472, 217, 211.
-472, -4, 211, 217
Put 218, 2183, -12 in increasing order.
-12, 218, 2183
Sort -3, 1/202, 0.5, -594, 1, 1/5 in increasing order.
-594, -3, 1/202, 1/5, 0.5, 1
Put 22901, -6082, -2 in descending order.
22901, -2, -6082
Put 431, 0, 3, -1, 9, 28, -3 in decreasing order.
431, 28, 9, 3, 0, -1, -3
Put 4/3, -0.08433993, -0.2 in decreasing order.
4/3, -0.08433993, -0.2
Put 5, 372, -7, -1, -56, -2, -4 in descending order.
372, 5, -1, -2, -4, -7, -56
Put 22/13, 766, -5 in decreasing order.
766, 22/13, -5
Sort 4, -0.3, -3, -2/5, 610, 967, 1.
-3, -2/5, -0.3, 1, 4, 610, 967
Sort 0, 45, 34, -91, -4, 8 in ascending order.
-91, -4, 0, 8, 34, 45
Put 3, 4, -5, -147, 12147 in decreasing order.
12147, 4, 3, -5, -147
Put 16, 22, -132, 1, -5, -22, 4 in descending order.
22, 16, 4, 1, -5, -22, -132
Sort -80, -1, 926, -41, -3 in descending order.
926, -1, -3, -41, -80
Sort 0.05, 0.6, 20, 96, -0.8.
-0.8, 0.05, 0.6, 20, 96
Put 8523, -4, 3, 4, 3101 in increasing order.
-4, 3, 4, 3101, 8523
Put -16, -99, 51, 4, -4, -1 in decreasing order.
51, 4, -1, -4, -16, -99
Sort -326, -0.1, 16/5, 0.2, 4 in ascending order.
-326, -0.1, 0.2, 16/5, 4
Sort 3, 39, 11/1651.
11/1651, 3, 39
Sort 1, -4/15, -2/9, 2, -4658.
-4658, -4/15, -2/9, 1, 2
Sort 2, 25, -2, 5, -8, -15.
-15, -8, -2, 2, 5, 25
Put -0.1, -6, 4/11, -3/76, -5 in decreasing order.
4/11, -3/76, -0.1, -5, -6
Put -10, -8/17, -0.25 in increasing order.
-10, -8/17, -0.25
Sort 1/21047, 4/3, -32, 2.
-32, 1/21047, 4/3, 2
Sort 0.4413, 0.2, -8/11, 2, -4, -5 in decreasing order.
2, 0.4413, 0.2, -8/11, -4, -5
Put 6, 3332, 1/632 in decreasing order.
3332, 6, 1/632
Sort -10, -431, 4463 in increasing order.
-431, -10, 4463
Put 5, 33, 1, -145, -4, -69 in ascending order.
-145, -69, -4, 1, 5, 33
Put -2, 3, 0.2011, -0.2, 13/28, -4 in descending order.
3, 13/28, 0.2011, -0.2, -2, -4
Put 122, 2921, 3/8, 0.5, -4 in decreasing order.
2921, 122, 0.5, 3/8, -4
Sort 254, -112, -1, -2 in descending order.
254, -1, -2, -112
Put 31/5, 1/2, 735, -16, -0.4 in decreasing order.
735, 31/5, 1/2, -0.4, -16
Put 3, 6, -10, 33330, -5 in ascending order.
-10, -5, 3, 6, 33330
Put -867573, -4, -2 in increasing order.
-867573, -4, -2
Put 28.08, -0.067, 16, 5, 4, -0.3 in descending order.
28.08, 16, 5, 4, -0.067, -0.3
Put -3, -4, 250, -5, 16, 1, -2 in increasing order.
-5, -4, -3, -2, 1, 16, 250
Sort -5, 4, -777, -1, 38, 2 in decreasing order.
38, 4, 2, -1, -5, -777
Sort -2/18945, -10/3, 147 in ascending order.
-10/3, -2/18945, 147
Sort 5, 1676393, 1, 14 in ascending order.
1, 5, 14, 1676393
Sort -300/13, -8.362, 3, 2, 0.4 in decreasing order.
3, 2, 0.4, -8.362, -300/13
Sort 4, -66902991, 3.
-66902991, 3, 4
Put 18023, 5, -1421, -2 in decreasing order.
18023, 5, -2, -1421
Sort -0.2, 4/5, -3/5, -2/3185, -0.9 in descending order.
4/5, -2/3185, -0.2, -3/5, -0.9
Sort -1/20132, 0.1, -4/57, -2.
-2, -4/57, -1/20132, 0.1
Sort 1/7, -0.1, 12, 1/111, 2/7, 1.
-0.1, 1/111, 1/7, 2/7, 1, 12
Put 1, -47, 5, -43727, -1 in descending order.
5, 1, -1, -47, -43727
Sort -2/1893, -1/9, 0.12, 6 in descending order.
6, 0.12, -2/1893, -1/9
Put -3, 156, 0.2, 6, -4, 151 in decreasing order.
156, 151, 6, 0.2, -3, -4
Sort -0.3, -4, -201, 4/3, -300 in decreasing order.
4/3, -0.3, -4, -201, -300
Put 175, 79, 39, 30 in ascending order.
30, 39, 79, 175
Put 1, -14, 155, -589 in ascending order.
-589, -14, 1, 155
Put -42, -2, 25, -2940 in increasing order.
-2940, -42, -2, 25
Sort -1, 6215, 2/7, -0.2, -4, 3/4.
-4, -1, -0.2, 2/7, 3/4, 6215
Put -0.5, -4/61, 7288 in descending order.
7288, -4/61, -0.5
Put -1/3, 1/682, -4/7, -1, -18/19 in decreasing order.
1/682, -1/3, -4/7, -18/19, -1
Put -126, -79, -7, 7, 5 in descending order.
7, 5, -7, -79, -126
Sort -829, 4, -0.3, -1132 in descending order.
4, -0.3, -829, -1132
Put 59, -1110, -31 in increasing order.
-1110, -31, 59
Put 6, -6, 7938, -8 in descending order.
7938, 6, -6, -8
Put -1.1, 7, -1/4, 21, -16639 in descending order.
21, 7, -1/4, -1.1, -16639
Put 4, 349, 792, 7 in decreasing order.
792, 349, 7, 4
Sort 0, 3, -0.2, 2, -14/31, 7, 11.
-14/31, -0.2, 0, 2, 3, 7, 11
Put -51, 7, -17705 in descending order.
7, -51, -17705
Sort 129663, -13, 124 in descending order.
129663, 124, -13
Put 1, 6, 87.4, 363, -2/5 in decreasing order.
363, 87.4, 6, 1, -2/5
Sort 4/13, -5494, -0.5, 0 in incre
|
{
"pile_set_name": "DM Mathematics"
}
|
i.
1
Let r = 439 + -415. Solve -r = 3*x - 11*x for x.
3
Let t = 345 + -342. Solve -t = -8*b - 35 for b.
-4
Let w = -1 - -7. Let r be 3/(-15) + (-42)/(-10). Solve -22 + w = r*q for q.
-4
Let v be (3/(-2))/((-1)/4). Let o = v - 4. Suppose -78*h + 71*h = -35. Solve -o*k = -h*k + 9 for k.
3
Suppose 14 = 2*j - 4. Suppose 4*o = j*o. Suppose o*a + 5 = a. Solve n - 1 = -a for n.
-4
Let j be 1/(-3) - -13*(-1)/(-3). Suppose -2*k + q + 1 = 0, 0*k - 23 = -k - j*q. Solve -k*a + 2 = -4 for a.
2
Suppose 0 = -5*d + 3*f + 50, -3*d + 6*d - 5*f = 30. Solve 5*v = -d - 10 for v.
-4
Suppose 14 = 5*o - 4*o. Suppose 0 = -4*s + 2*s + o. Let v = -315 - -317. Solve -v*y - s = -1 for y.
-3
Let t(y) = 11 + 18 - 4*y - 5. Let q be t(5). Solve 2 = -2*f - q for f.
-3
Suppose 0 = 6*v + 7*v. Solve v = -4*c + 6 - 10 for c.
-1
Suppose 4*v + 6*a = 5*a + 26, -a = -v + 9. Solve -2*n + 5 = -v*n for n.
-1
Let r = -18 - -18. Suppose -2*f = -4*g + 528, -f + r*f = -g + 133. Suppose 0 = -5*d + d - 4*v + 108, -g = -5*d - 3*v. Solve 0 = -5*y - 0*y + d for y.
5
Suppose 235*r - 233*r = 6. Solve 0 = -d - 4 + r for d.
-1
Let n(z) = -8*z + 7*z**2 + 2 + 141*z**3 - 140*z**3 + 0*z. Let k be n(-8). Solve -p = -k + 3 for p.
-1
Let k be (35/28 + -2)*-4. Solve 2*t + 5 = k for t.
-1
Suppose 5 = 3*y - 2*y. Suppose -4*t + 9 = 3*o, 3*o = y*t - o + 12. Solve 20 = -5*l - t*l for l.
-4
Let q = -154 - -163. Solve 0 = s + 6 - q for s.
3
Suppose -30*j - 8 = -g - 31*j, 3*g - 5*j - 8 = 0. Solve -10*k + g + 24 = 0 for k.
3
Let m(k) = 3*k**2 - 7*k + 32. Let x be m(4). Suppose -x*q + 50*q = -20. Solve p = -p + q for p.
5
Let t = 10 + -8. Suppose 0 = 2*d + 4, t = -5*q - 4*d + 14. Let i = -4 + q. Solve 2*p + 3*p - 20 = i for p.
4
Suppose 0 = 3*q - 3*m - 9 + 24, 32 = -4*q - 2*m. Let u = -3 - q. Let z = u + 0. Solve -z*g + 12 = -g for g.
4
Let c(k) = 3*k - 11. Let q be c(6). Suppose q + 9 = 4*y. Solve f - 20 = -y*f for f.
4
Let x = -1602 + 1606. Solve 0 = 2*c - 2 - x for c.
3
Let v(w) = w**3 + w**2 + w + 79. Let t be v(0). Suppose 0 = 3*m - 4*i + 25 - t, -5*m = -2*i - 90. Let b = -2155 + 2159. Solve m = b*c + 2 for c.
4
Suppose -w - w = -v - 2, 3*w = -3*v + 12. Solve -v*a = -0 + 4 for a.
-2
Let r(u) be the second derivative of -u**5/20 + u**4/2 - u**3/2 + 4*u. Let z be r(5). Solve 0 = 4*b + b + z for b.
-2
Suppose 0 = -3*k, -40 = 6*j - 4*j + 3*k. Let i be 192/j - 6/15. Let d = i - -15. Solve 0 = -d*n + 5 + 20 for n.
5
Let g = 59 - 57. Suppose 2*w + g*w = -0*w. Solve w*y = -3*y - 6 for y.
-2
Suppose -2*n = 3*m - 3 - 24, -5 = m. Solve n + 14 = -7*j for j.
-5
Let w = 492 - 487. Solve -w*j - 5 = -6*j for j.
5
Let n(b) = -b**3 - 5*b**2 + 5*b - 14. Let t be n(-6). Let u(a) = a**2 + 8*a + 3. Let x be u(t). Solve -x*r + 7 + 5 = 0 for r.
4
Let h(c) = -c**3 - 2*c**2 - c - 12. Let x be h(0). Let d be (-8)/(x/(-6)) + 8. Solve 15 = -f + d*f for f.
5
Let q(h) = -3*h - 2. Let o be q(-2). Suppose -o*w = -10 + 6. Solve -w = -4*g + 3 for g.
1
Let t be (-4 - -10)*(-28)/(-42). Solve -t*q + 10 = -14*q for q.
-1
Suppose -2*z = -3*z - 3*l - 4, -z - 2*l - 2 = 0. Suppose z*g + 5 = 3*g. Solve -4*h - 15 = g for h.
-5
Suppose 111 = 6*t + 21. Suppose 9*c - 14*c = -t. Solve c*y + 3 = -0*y for y.
-1
Suppose 3*v + 4*c = 99, 3*v = 4*c + 23 + 76. Solve -12*j + j = v for j.
-3
Let z(w) = -w**2 - 8*w + 5. Let x be z(-8). Suppose x*d + 2*h = 9, -3*d = -0*d + h - 6. Solve 20 = d*l - 8*l for l.
-4
Let a(p) = 2*p**2 - 10*p + 8. Let y be (1 - -15)/4 - -2. Let t be a(y). Solve -2*l + t = -6*l for l.
-5
Let b = -746 + 753. Solve -j - 6 = -b*j for j.
1
Let d be (20/(-6))/((-318)/3339). Solve 2*w - 9*w = d for w.
-5
Let p be (-486)/(-117) + (-2)/13. Let c = 6 + -12. Let w be p/(-6) + (-10)/c. Solve o = -4 - w for o.
-5
Let d(b) be the first derivative of b**2/2 + 34*b - 4. Let n be d(-14). Solve 2*g = 6*g + n for g.
-5
Suppose 3*i - 5*d + 2 = 0, -18*i + 22*i + d = 28. Solve 0 = -9*b + i*b - 3 for b.
-1
Let z(a) = -3*a**3 + a**2 + a. Suppose 0*c - c + 5*k = -19, -k + 55 = 4*c. Let r = 13 - c. Let f be z(r). Solve -f*i = -0 + 6 for i.
-2
Let p = -650 + 667. Solve j = p - 14 for j.
3
Let d = -39 - -65. Solve -9*p + d = 62 for p.
-4
Let p = 4 + -1. Let c = 4 + p. Suppose -m + 9 = 2*m. Solve c = -5*l - m for l.
-2
Suppose -40*f - 72 = -46*f. Solve -j = 3*j + f for j.
-3
Let g = 48 + -44. Suppose -18*x = -14*x. Solve -4*z + 0*z + g = x for z.
1
Let z(m) = 2*m**2 - 13*m - 3. Let t be z(6). Let a(h) = -h - 6. Let j be a(t). Suppose 4*b - 82 = -2*k, -3*k = -2*k - 1. Solve -p - j*p = b for p.
-5
Let h be (-55)/(-4) - 4/(-16). Let n(z) be the first derivative of z**3/3 - 13*z**2/2 - 12*z + 35. Let v be n(h). Solve 0 = -2*t - 10 + v for t.
-4
Suppose 0 = g + 1 - 16. Suppose -f + 5*j = g, -2*j = -f + 3*f - 6. Solve f*q - 4*q = -12 for q.
3
Let b = -134 - -213. Let w = b + -77. Solve -w*f - f + 15 = 0 for f.
5
Let j(u) be the second derivative of u + 0 - 2*u**2 - 1/3*u**3. Let y be j(-3). Solve 8 = 2*p - y for p.
5
Suppose 58*j + 140 = 78*j. Solve -2*s - 3 - j = 0 for s.
-5
Suppose 0 = 3*x - 3*g - 6 - 3, 0 = 4*g - 12. Let l(v) = 2*v**2 + v - 1. Let k be l(-2). Solve 0 = i - x*i - k for i.
-1
Let v be 110/11*6/15. Solve -v*i = -2*i + 6 for i.
-3
Suppose -4*c + 56 = -12. Suppose 2*q = 5*v - c, -18 = -5*v + q + 2*q. Solve i = v*i for i.
0
Suppose -j - 5 = -2*d, -3*j = -5*d + 14 - 2. Suppose 0 = -d*p - 0*p. Suppose 5*o = -p*h + 4*h + 27, -3*o + 5*h + 24 = 0. Solve o*t + 1 - 4 = 0 for t.
1
Let g be ((-525)/(-63))/(5/30). Solve 2*w = -8*w - g for w.
-5
Let o be 8/(-52) - (-201)/39. Suppose -4 = r + 4*k, -2*r - o*k = -7*r + 5. Solve r = z - 0 - 1 for z.
1
Let v(c) = -c - 4. Let s be v(-7). Suppose m + 0*m + 3 = 5*w, -w + m = -s. Solve w*p - 3 = -3*p for p.
1
Suppose -3*x + 3*n + 6 = 0, -n + 6 + 2 = 4*x. Solve 0 = -x*b - 6 - 0 for b.
-3
Suppose 5*d + 1 = -3*s - 7, 5*s - 40 = 5*d. Solve -2*g + s = -4*g for g.
-2
Let v be (0 - 0) + 180/20 - 5. Solve -q + v*q = -12 for q.
-4
Suppose 3*y - 4 = -l, 3*l = 4*y - 6 - 8. Solve -y*v + 4*v = -8 for v.
-4
Let f(z) = z - 17. Let p be f(18). Let k be ((-28)/(-14))/(-1*p*-2). Solve 5*s + k = -4 for s.
-1
Let b(l) = 4*l + 4. Let s be b(-2). Let u be (s - -2)*-3 - 2. Solve -u = -g + 3*g for g.
-2
Let a be (-20)/(-70) - 4/14. Let b(t) = -t**3 + 2*t**2 + 2. Let d be b(a). Solve -o = -2*o + d for o.
2
Suppose 0 = 3*j + 5*n - 182, 62*j = 63*j - 5*n - 54. Solve j = 5*r + 64 for r.
-1
Let g = -206 - -211. Suppose 0 = -3*b + 3 + 9. Let d be (11/b + 1)*4. Solve 0 = 2*y - g*y + d for y.
5
Suppose -3*a - 4*w = -340, 5*w - 222 = -2*a - 0*a. Suppose y + 12 = 3*j - 52, -5*j + a = -4*y. Suppose -4*k = -0*k. Solve -r - 3*r + j = k for r.
5
Let k = -27 - -27. Solve k + 6 = -6*d for d.
-1
Let z = -1 + 1. Suppose -2*w + 5*w + 5*n - 38 = 0, 0 = -4*w + 4*n + 8. Solve -2*d + w*d - 4 = z for d.
1
Suppose 2*s = -a + 3, -3*s + 2*a - 4 = 2. Suppose 2*b - q = 10, -2*b + 11*q = 7*q - 22. Suppose -2*l - c = c - 6, -2*l = b*c - 6. Solve 2*d - 13 + l = s for d.
5
Let i(k) = -11*k + 1. Let f be i(-1). Suppose -f = -4*o + 8. Solve 0*g = -o*g - 20 for g.
-4
Let q be 1/4 - 1/4. Suppose -387*f + 379*f = 0. Solve q = -u - 1 - f for u.
-1
Suppose -3*w + 35 = -2*q, 3*w + q - 41 = -0. Suppose 9*s + 28 = w*s. Solve -11 + s = -2*m for m.
2
Suppose r = 6*r + m + 346, -4*r - 284 = -m. Let i = r + 82. Solve 0 = -s + 5*s + i for s.
-3
Let f(i) = i - 9. Let j be f(11). Suppose 0 = -3*n - 4*u - 6 - j, 2*n - 4 = 2*u. Suppose -c + 3*c = n. Solve c = 4*b + 2 - 6 for b.
1
Suppose 2*r = 4*r - 16. Suppose -42 = -8*g - 6*g. Let k(q) = q**2 - 5*q + 6. Let s be k(g). Solve 3*j - j - r = s for j.
4
Suppose -2*r + 32 = 2*r. Let m(t) = -t**2 + 12*t - 31. Let h be m(r). Solve -5*q - 6 = -h for q.
-1
Let z(u) = -u**3 - u**2 - 3*u**2 + 2*u**3 + 2 - 5*u. Let a be z(5). Solve -2*t = -a - 4 for t.
3
Let h be (-28)/(-4) - (-7 + 5). Suppose 5*p = -13 + 33. Solve -h = p*c + 7 for c.
-4
Let f(w) = -3*w - 3. Let n be f(-2). Let s = -4 - 18. Let k = -20 - s. Solve 0 = k*l - n*l for l.
0
Let w(y) = 3*y + 12. Let f(u) = u + 6. Let n(i) = -5*f(i) + 2*w(i). Let s be n(9). Solve 2*t = -s*t + 25 for t.
5
Let z = -9 - -14. Suppose -j = -0*j - z. Suppose m + 1 = -l, 2*m = -m + j*l + 21. Solve 6*n - 12 = m*n for n.
3
Let b = 238 + -237. Solve -b = -u - 2 for u.
-1
Suppose 4 = -u + 168. Let s = u - 164. Solve -10*a + 9*a - 3 =
|
{
"pile_set_name": "DM Mathematics"
}
|
mallest common multiple of c and 7.
35
Let b = -3983/130 + 306/13. Let z = -617/79 + 4/395. Find the common denominator of b and z.
10
Let g = 9 - 12. Let t be (-407)/200 - g - 1. Let o = t + 4/25. Find the common denominator of -5/3 and o.
24
Let a = 32 + -11. Let f = 32 - a. Let s = f - 9. Calculate the lowest common multiple of 7 and s.
14
What is the common denominator of (188/10)/(5 - -3) and -9/32?
160
What is the common denominator of -53/18 and (-122)/(-6)*10*3/450?
90
What is the common denominator of 99/8 and -1 - (5/(-10))/(12/110)?
24
Let b(x) = 3*x - 4. Let y be b(3). Suppose 5*a = y*z + 10, -5*z - 18 = -0*a - a. Let r = a + 6. Calculate the lowest common multiple of r and 18.
36
Suppose -2*j - 108 = 24. Calculate the common denominator of (46/16)/(11/j) and 97/16.
16
Suppose -4*r = -8, 0*x - x + 2*r = 0. Suppose -h + 0*z = x*z - 32, -5*z = 20. What is the smallest common multiple of 6 and h?
48
Suppose 2*r = 5*r - 12. Let s be ((-8)/(-10))/(280/858300). Let g = -2448 + s. Find the common denominator of g and r.
7
Suppose -2 + 23 = -m - 5*d, 32 = 3*m - 4*d. Let z = -812 - -828. Calculate the lowest common multiple of z and m.
16
Let g = -228877/20620 - 1/4124. Find the common denominator of -32/45 and g.
90
Let v = -252 + 243. Let y(i) = i**2 + 5*i - 27. Let s(f) = -f**2 + 8*f - 4. What is the least common multiple of y(v) and s(5)?
99
Let q = -794 + 4681/6. What is the common denominator of q and (55/(-144))/(2/6)*-2?
24
Let o be (-10)/(-15) + (-452)/12. Let l = o - -48. Suppose x - 20 = -3*x. What is the least common multiple of l and x?
55
Let z = -3/640 + 17977/12160. What is the common denominator of z and (-2850)/(-45)*2/(-8)?
114
Let t = -28/635 - 7127/2540. Find the common denominator of (-1 - 0) + (-158)/(-16) and t.
40
Let d be (-15)/10*8/(-8943). Let u = -181785/41734 - d. What is the common denominator of -53/16 and u?
112
Suppose 817 + 1003 = 13*n. What is the least common multiple of n and 154?
1540
Suppose -3*o + v - 378 = 0, -2*v + 294 + 210 = -4*o. Find the common denominator of -79/30 and 12/54 + ((-1240)/o)/(-4).
210
Suppose s + 8*s = 144. Suppose -607 = 3*g - 5*i + 28, 4*i - 214 = g. What is the common denominator of -1 - 2/(s/g) and 17/16?
16
Let n = 66356/9 + -7292. Let d = 2543/36 - n. Calculate the common denominator of d and -13/20.
20
Let u(h) = h**2 + 16*h - 11. Let q be u(-17). Suppose q*k - 11*k = -120. Calculate the lowest common multiple of 3 and k.
24
Let n be (-5115)/77 + 3/7. Let l be 1608/n*(60 + 2). Let u = l + 1509. Find the common denominator of -115/6 and u.
66
Find the common denominator of (2 - (-1185)/24)/18 and -11/4.
48
What is the least common multiple of ((-2)/4)/(9/(36*-11)) and 26?
286
Suppose 2*q + 35*c - 28 = 37*c, 0 = q + 5*c + 10. Calculate the lowest common multiple of (-123)/(-3) + 2 + -2 and q.
410
Let z be (1 - (1 - 1))*5. Suppose -2*q - 100 - 86 = -3*a, 0 = -5*a - z*q + 285. Suppose -8*i + 3*i + a = 0. Calculate the smallest common multiple of 2 and i.
12
Find the common denominator of (-517)/308 - (-5)/(-15) and -70/27.
756
Let k = 20372/5 - 285793/70. Let j(w) = w**3 + 8*w**2 + 6*w + 8. Let b be j(-8). Find the common denominator of k and -75*(-5)/b - -3.
56
Let m(q) = -q**3 - 6*q**2 + 23*q - 2. Calculate the lowest common multiple of m(-10) and 96.
672
Let b = -22465408/11 + 2040407. Let h be 3*1 - (-164303)/(-86). Let k = b - h. Find the common denominator of -35/2 and k.
22
Suppose -3*z - 5*u + 9087 = 0, -5*u + 3230 = 2*z - 2823. Let y = z - 15117/5. Find the common denominator of ((-2)/10)/((-1)/31) and y.
5
Find the common denominator of 4/(-6) - (-772)/1800 and -94/135.
1350
Suppose 5*a - 127 = -2*q, 5*a - 183 = -4*q + q. Let u be (-2)/(-5) + q/(-40). Find the common denominator of (-2)/((-82)/(-146) + u) and -123/10.
80
Let j = 708 - 728. Find the common denominator of j and 79/70.
70
Let b = -10 - -12. Let x(t) = 8*t**3 - 2*t**2 + 2. Suppose -2*w + 56 = 5*i, 3*i - w - 47 = -2*i. Calculate the lowest common multiple of x(b) and i.
290
Let n(l) = -3*l**2 + l - 1. Let m be n(1). Let g(s) = -2*s + 5. What is the smallest common multiple of g(m) and 25?
275
Find the common denominator of (1053/210 - 5)*2680/(-16) and -79/112.
112
What is the least common multiple of (24/(-10))/((-21)/175) and 105?
420
Let d be (4 - (-3 + 9))*15. Let s be (-6)/18 - (-131429)/d. Let z = s - -4388. What is the common denominator of z and 83/6?
30
Let q be 3 + -33 + 3/3. Calculate the lowest common multiple of 1 and (-4)/(-20) + q/(-5).
6
Let d be (-2 + 777/355)/((-8)/1893380). Let t = d + 44668. Find the common denominator of t and (-1618)/168 - 4/14.
852
Let w be (0 + 8108/198)/((-312)/18). Let g = -7/78 - w. Calculate the common denominator of 5/9 and g.
99
Let j(l) = -l**2 + 5*l - 2. Let q be j(4). Suppose 0 = q*r + 3*r - 30. Suppose 5*h - 4 = r. What is the least common multiple of h and 2?
2
Suppose 77 = 4*r + 5*s, -2*r + 190 = -s + 155. Suppose -j = -0 - 33. Calculate the smallest common multiple of j and r.
198
Let p = -48163/22428 - -16/1869. Find the common denominator of -87/176 and p.
1584
Suppose -5*a + 4*u + 31 = 0, -6*u = 5*a - u - 40. Let j = 3 - -7. Let g(r) = -r**2 + 10*r + 2. What is the lowest common multiple of g(j) and a?
14
Suppose 5*x - 47 = i, -i - 175 = 4*i - 5*x. Let c = i - -32. Suppose -2*q - h = c, h - 4 = -3*q - q. Calculate the lowest common multiple of 10 and q.
10
Suppose 4*o = -4 - 0. Let j be o/(-2*(-3)/(-294)). Suppose j = 4*q - 5*k, -3*q + 0*q - 3*k + 3 = 0. What is the lowest common multiple of q and 7?
42
Let h = -4/10071 + 97493/352485. What is the common denominator of h and -38/33?
1155
Let t = -12 - -11. Let y be 0 + t + (3 - -320). Calculate the common denominator of ((-10)/(-14))/(24/y) and 53/4.
12
Let h = -10647906 + 447164965/42. Let w = 2235/2 + h. What is the common denominator of -2/3 and w?
21
Let z = -9793 + 234929/24. What is the common denominator of z and (-1 + (-16)/(-14))/(84/(-5635))?
24
Suppose -3*w - 2*w - 15 = 0. Let c(i) = 7*i + 3. Let k(p) = 8*p + 4. Let b(t) = -5*c(t) + 4*k(t). What is the smallest common multiple of b(w) and 4?
20
Let u = 26 + -21. Suppose 0 = -10*d + 18*d - 56. Calculate the least common multiple of u and d.
35
Let f(b) = 7 - 5 + 0 + b. What is the smallest common multiple of 4 and f(6)?
8
Find the common denominator of (-42)/385*20/8 and 0 - (-1 + (-82)/4).
22
Suppose 4*s = -5*k - 12, -4*s - 5 = -3*k + 7. Let q be 6/((-6)/5)*s. Let j = q - 7. What is the least common multiple of 16 and j?
16
Suppose -2*i = -2, 0 = 5*x - 2*i - 1680 - 15038. Let g = -26719/8 + x. What is the common denominator of -83/4 and g?
8
Let k = -311 - -327. What is the least common multiple of k and 56?
112
Let o be (-12965684823778)/(-60918) - 10/(-30). Let s = -212838322 + o. Let x = s + 2/923. What is the common denominator of 91/8 and x?
88
Let h(y) = 4*y**2 + y + 2. Let s be h(4). What is the common denominator of 377/s - 2/7 and 18/36*194/6*1?
30
Let x = -1078820/7 - -153712. Let r = x - -29137/70. What is the common denominator of r and -57/14?
70
Let k(i) = -3*i**3 + 3*i**2 - i + 1. Let g be k(2). Let c = g + 15. Suppose -c*h = h - 6. Calculate the lowest common multiple of 11 and h.
22
Let g be (-576)/8*(-8)/6. Suppose 3*n = -5*a + 75, -5*a = -3*n + 9 + g. Calculate the least common multiple of n and 22.
330
Suppose -s + o - 2 + 13 = 0, 0 = s - 4*o + 4. What is the lowest common multiple of s and 12?
48
Suppose -g - 9 = -3*t + 1, t - 5*g + 6 = 0. What is the least common multiple of 16 and -6*t/12*-2?
16
What is the common denominator of (1342/168)/11 - (-5)/(-20) and 31/159?
1113
Suppose 3*t + 2*d - 23 + 5 = 0, d = t - 11. What is the lowest common multiple of t and 294?
1176
What is the common denominator of ((-111)/(-30))/((-4)/(-10)) and (-5187)/(-2814) + (-3)/2?
268
Let r be (-3)/1907*(-2)/30. Let j = r + 905819/57210. Calculate the common denominator of (-94)/8*(-16)/(-64) and j.
48
Suppose 0 = 4*u - 16*k + 17*k - 5, 1 = -4*u - 3*k. Let j(l) be the second derivative of l**3/3 - l**2 + l. Calculate the least common multiple of 7 and j(u).
14
Let o = -578804/5 + 116180. Let w = -4159/10 + o. What is the common denominator of 83/14 and w?
70
Suppose 0 = -2*r - 3*q - 1 + 16, 3*r - 4*q - 14 = 0. Suppose 0*m - 2*m + 6 =
|
{
"pile_set_name": "DM Mathematics"
}
|
utes are there between 4:41 AM and 5:19 AM?
38
What is 669 minutes after 12:16 AM?
11:25 AM
How many minutes are there between 5:44 PM and 10:33 PM?
289
How many minutes are there between 2:42 PM and 9:42 PM?
420
What is 318 minutes before 5:31 AM?
12:13 AM
What is 430 minutes after 9:11 AM?
4:21 PM
What is 104 minutes after 9:08 AM?
10:52 AM
How many minutes are there between 11:16 PM and 5:11 AM?
355
What is 504 minutes after 12:40 AM?
9:04 AM
What is 367 minutes after 4:18 AM?
10:25 AM
How many minutes are there between 9:11 PM and 7:41 AM?
630
How many minutes are there between 10:59 PM and 7:11 AM?
492
What is 10 minutes before 1:16 AM?
1:06 AM
How many minutes are there between 10:50 PM and 2:48 AM?
238
What is 677 minutes before 5:48 AM?
6:31 PM
What is 217 minutes after 6:53 AM?
10:30 AM
How many minutes are there between 1:12 AM and 6:01 AM?
289
What is 474 minutes before 3:30 PM?
7:36 AM
How many minutes are there between 8:09 PM and 9:50 PM?
101
What is 62 minutes after 8:13 PM?
9:15 PM
How many minutes are there between 9:16 PM and 3:57 AM?
401
What is 468 minutes before 10:07 AM?
2:19 AM
What is 501 minutes after 12:47 PM?
9:08 PM
What is 586 minutes before 6:34 PM?
8:48 AM
How many minutes are there between 2:33 PM and 11:52 PM?
559
How many minutes are there between 5:10 AM and 7:26 AM?
136
What is 587 minutes after 11:23 AM?
9:10 PM
What is 300 minutes after 2:15 AM?
7:15 AM
How many minutes are there between 8:33 AM and 1:37 PM?
304
What is 490 minutes before 7:20 PM?
11:10 AM
How many minutes are there between 2:44 AM and 12:29 PM?
585
How many minutes are there between 1:07 PM and 6:17 PM?
310
What is 255 minutes after 6:07 PM?
10:22 PM
How many minutes are there between 11:53 AM and 9:05 PM?
552
How many minutes are there between 2:17 PM and 9:45 PM?
448
How many minutes are there between 2:11 PM and 4:06 PM?
115
What is 639 minutes before 11:56 AM?
1:17 AM
How many minutes are there between 11:03 PM and 9:14 AM?
611
What is 419 minutes after 10:58 PM?
5:57 AM
How many minutes are there between 1:14 AM and 8:13 AM?
419
How many minutes are there between 1:39 PM and 6:35 PM?
296
How many minutes are there between 4:59 AM and 4:14 PM?
675
What is 504 minutes after 3:02 AM?
11:26 AM
What is 110 minutes before 1:48 PM?
11:58 AM
What is 665 minutes before 2:47 AM?
3:42 PM
How many minutes are there between 4:23 AM and 9:25 AM?
302
What is 292 minutes before 3:38 AM?
10:46 PM
What is 255 minutes before 12:47 AM?
8:32 PM
What is 631 minutes before 1:54 PM?
3:23 AM
What is 373 minutes before 1:44 AM?
7:31 PM
What is 624 minutes before 7:34 AM?
9:10 PM
How many minutes are there between 9:12 PM and 5:40 AM?
508
What is 549 minutes after 2:57 AM?
12:06 PM
How many minutes are there between 9:46 AM and 11:47 AM?
121
What is 421 minutes after 11:19 PM?
6:20 AM
What is 584 minutes after 5:11 PM?
2:55 AM
How many minutes are there between 4:37 AM and 2:44 PM?
607
What is 141 minutes before 7:53 PM?
5:32 PM
What is 115 minutes after 3:36 AM?
5:31 AM
What is 481 minutes before 7:02 PM?
11:01 AM
What is 97 minutes before 6:20 PM?
4:43 PM
How many minutes are there between 1:36 AM and 12:20 PM?
644
What is 459 minutes before 11:26 AM?
3:47 AM
How many minutes are there between 12:11 PM and 11:43 PM?
692
How many minutes are there between 1:37 PM and 11:10 PM?
573
How many minutes are there between 6:02 AM and 5:05 PM?
663
How many minutes are there between 10:48 PM and 1:54 AM?
186
What is 325 minutes after 9:21 AM?
2:46 PM
What is 337 minutes before 2:06 AM?
8:29 PM
What is 266 minutes before 12:47 PM?
8:21 AM
How many minutes are there between 6:57 AM and 12:56 PM?
359
What is 141 minutes after 10:06 AM?
12:27 PM
How many minutes are there between 4:12 PM and 5:12 PM?
60
What is 570 minutes before 7:20 AM?
9:50 PM
What is 320 minutes after 4:29 AM?
9:49 AM
How many minutes are there between 6:52 PM and 8:21 PM?
89
How many minutes are there between 4:49 AM and 5:24 AM?
35
What is 253 minutes before 3:39 PM?
11:26 AM
What is 572 minutes after 2:18 PM?
11:50 PM
What is 704 minutes after 11:31 AM?
11:15 PM
What is 97 minutes before 10:39 PM?
9:02 PM
What is 470 minutes after 4:14 AM?
12:04 PM
How many minutes are there between 1:13 AM and 10:58 AM?
585
What is 546 minutes before 6:17 AM?
9:11 PM
How many minutes are there between 11:13 PM and 8:55 AM?
582
What is 253 minutes after 11:02 AM?
3:15 PM
How many minutes are there between 3:19 AM and 11:09 AM?
470
How many minutes are there between 6:29 PM and 6:15 AM?
706
What is 44 minutes before 3:44 AM?
3:00 AM
What is 265 minutes before 3:18 PM?
10:53 AM
What is 528 minutes before 8:45 PM?
11:57 AM
How many minutes are there between 6:34 AM and 5:44 PM?
670
How many minutes are there between 5:08 AM and 8:35 AM?
207
What is 170 minutes after 9:59 PM?
12:49 AM
How many minutes are there between 10:12 PM and 9:12 AM?
660
How many minutes are there between 5:22 PM and 4:01 AM?
639
What is 63 minutes after 5:31 PM?
6:34 PM
How many minutes are there between 6:46 PM and 4:24 AM?
578
How many minutes are there between 4:18 PM and 3:02 AM?
644
How many minutes are there between 6:19 PM and 12:01 AM?
342
What is 502 minutes after 4:20 PM?
12:42 AM
How many minutes are there between 6:12 PM and 11:39 PM?
327
How many minutes are there between 12:14 AM and 1:05 AM?
51
What is 40 minutes after 2:03 PM?
2:43 PM
How many minutes are there between 5:13 AM and 4:53 PM?
700
What is 430 minutes before 9:11 PM?
2:01 PM
What is 250 minutes before 5:26 PM?
1:16 PM
What is 101 minutes after 7:30 AM?
9:11 AM
What is 76 minutes after 9:24 AM?
10:40 AM
How many minutes are there between 6:41 PM and 4:46 AM?
605
How many minutes are there between 2:22 PM and 3:50 PM?
88
How many minutes are there between 5:51 AM and 5:10 PM?
679
How many minutes are there between 8:17 AM and 1:42 PM?
325
How many minutes are there between 6:42 AM and 9:48 AM?
186
How many minutes are there between 6:33 AM and 7:13 AM?
40
What is 547 minutes after 12:09 PM?
9:16 PM
How many minutes are there between 11:51 AM and 7:39 PM?
468
How many minutes are there between 12:02 PM and 1:59 PM?
117
What is 313 minutes before 10:44 PM?
5:31 PM
What is 322 minutes before 6:19 PM?
12:57 PM
What is 532 minutes before 8:04 PM?
11:12 AM
How many minutes are there between 12:47 PM and 11:48 PM?
661
What is 209 minutes after 1:12 PM?
4:41 PM
How many minutes are there between 10:11 AM and 7:03 PM?
532
What is 194 minutes after 7:06 PM?
10:20 PM
How many minutes are there between 8:42 AM and 3:28 PM?
406
How many minutes are there between 10:28 PM and 6:15 AM?
467
How many minutes are there between 1:09 AM and 10:58 AM?
589
How many minutes are there between 2:44 AM and 12:55 PM?
611
What is 623 minutes after 7:51 AM?
6:14 PM
How many minutes are there between 5:28 AM and 9:05 AM?
217
What is 14 minutes before 7:59 PM?
7:45 PM
What is 279 minutes after 6:08 PM?
10:47 PM
How many minutes are there between 8:25 PM and 11:40 PM?
195
What is 630 minutes before 5:46 AM?
7:16 PM
How many minutes are there between 10:10 AM and 10:48 AM?
38
What is 111 minutes before 10:30 AM?
8:39 AM
What is 325 minutes after 6:04 PM?
11:29 PM
How many minutes are there between 9:48 AM and 9:16 PM?
688
What is 697 minutes before 8:06 AM?
8:29 PM
What is 538 minutes after 9:02 AM?
6:00 PM
What is 391 minutes after 9:16 PM?
3:47 AM
What is 386 minutes before 9:22 AM?
2:56 AM
What is 374 minutes after 2:12 PM?
8:26 PM
What is 243 minutes before 4:25 AM?
12:22 AM
What is 453 minutes before 9:29 PM?
1:56 PM
How many minutes are there between 11:17 AM and 1:33 PM?
136
How many minutes are there between 7:50 AM and 1:07 PM?
317
How many minutes are there between 8:21 PM and 2:14 AM?
353
How many minutes are there between 12:57 AM and 12:42 PM?
705
How many minutes are there between 7:25 PM and 1:32 AM?
367
What is 609 minutes before 6:36 AM?
8:27 PM
How many minutes are there between 10:05 PM and 2:03 AM?
238
How many minutes are there between 12:32 AM and 11:57 AM?
685
How many minutes are there between 1:48 AM and 1:36 PM?
708
What is 292 minutes before 7:37 AM?
2:45 AM
What is 250 minutes after 1:35 PM?
5:45 PM
What is 634 minutes before 6:06 AM?
7:32 PM
How many minutes are there
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 3*i - i = 2. What is the units digit of 2 - 2/2*i?
1
Let g = 9 - 1. What is the units digit of g?
8
Suppose 18 = 2*s + 4*l, -3*s - 2*l + 3 = -4*l. Let p(i) = -i**3 + 3*i**2 + 3*i + 4. What is the units digit of p(s)?
3
Let b(p) = -2*p. Let o be b(-2). Suppose o*s = -4*y - 0*s - 12, y + 13 = -3*s. What is the tens digit of (24/14)/(y/14)?
1
Suppose -2*i = 1 + 15. Let x = i - -12. Suppose -1 = x*p - 33. What is the units digit of p?
8
Suppose 0 = -0*v + v - w, -2*v = w - 6. Suppose 2*x = 2 + v. Suppose 0 = -x*k + 4, -2*k = -4*f + 6 + 50. What is the units digit of f?
5
What is the tens digit of 1/2 - (-275)/22?
1
Let m(x) = -17*x - 20. Let y(d) = 9*d + 10. Let s(r) = 6*m(r) + 11*y(r). Suppose -4*b - 31 = -j, -1 = 2*j + 1. What is the tens digit of s(b)?
1
Let f(d) = -d**2 - 9*d + 7*d**2 + 0 + d**3 - 5. Let j be f(-7). Suppose -i + j = 4*h, 3*i = 5*i - h. What is the units digit of i?
1
Let o(z) = 2 + 2*z - 5*z**2 + 3*z + 4*z**2. What is the units digit of o(4)?
6
Let j = 13 + -13. Let h(b) = -b**2 + 2*b + 11. What is the units digit of h(j)?
1
Suppose 4 = 2*t - 3*g - 7, -3*t + 3*g + 21 = 0. Suppose p + 1 = t. What is the units digit of p?
9
Let p = -209 + 513. What is the tens digit of p?
0
Let m be -1*(-2 + 3)*-3. Suppose -52 = -0*a - a + 4*h, m*a = 3*h + 111. What is the tens digit of a?
3
Suppose 0 = -3*p - 15 + 84. What is the units digit of p?
3
Suppose -g + 3*g = 5*l - 21, 3*g = 6. Suppose -3*v + 140 = -2*r, 0 = 3*v - l*r + 4*r - 142. What is the units digit of v?
8
Let p(f) = -17*f + 4. What is the tens digit of p(-2)?
3
Let v be (27/12)/(3/8). Let c be ((-4)/v)/(1/(-6)). Suppose -c*u = 4, -o - 2 = 2*u - 9. What is the units digit of o?
9
Let p = 464 - 312. What is the tens digit of p?
5
Suppose 3*h = 105 - 18. What is the tens digit of h?
2
Suppose 62 - 2 = 5*q. Suppose -2*w + d + 33 = 0, -d - 12 = -4*w + 59. Let u = w - q. What is the units digit of u?
7
Let n(m) = -36*m - 24. What is the units digit of n(-7)?
8
Let h(p) = -5*p + 9. Let w(t) = -4*t + 8. Let k(v) = -3*h(v) + 4*w(v). Let u be ((-3)/2)/((-2)/4). What is the units digit of k(u)?
2
Let s(f) be the second derivative of -16*f**3/3 - 4*f. What is the tens digit of s(-1)?
3
Suppose y - 2 = 4*v + 8, v + 3 = 0. Suppose 4 = m - 5*q, -6*m - q + 20 = -m. Let a = y + m. What is the units digit of a?
2
Suppose s - 4*u - 1 = 0, -3*s - 3*u = s - 23. What is the units digit of s?
5
Suppose -5*y = -y - 16. Suppose -y*w - 16 = -4*q, 2*q + 0*q + 10 = -4*w. What is the units digit of q?
1
Let f(i) = 3*i**2 + 12*i + 10. What is the hundreds digit of f(-8)?
1
Let q be ((-6)/18)/((-3)/9). What is the units digit of 25 + (q - (3 + -1))?
4
What is the units digit of (36/8 + -3)*18?
7
Let x = 1 + 2. Suppose -2*j = 5 + x. What is the units digit of ((j - -3)/(-1))/1?
1
Let c(i) be the first derivative of 7*i**3/3 - i**2/2 - 4*i + 2. What is the tens digit of c(-2)?
2
Let h = -218 + 130. What is the units digit of h/(-14) + (-4)/14?
6
What is the tens digit of (-47)/(-3*4/12)?
4
Let z = 4 + -4. Suppose 2*j = 4*h - 0 + 6, z = -2*j + h + 12. Suppose -2*u + j = -1. What is the units digit of u?
4
Suppose 2*g + 0 = 4. Suppose 64 = g*n + 2*n. Let a = -11 + n. What is the units digit of a?
5
Suppose -4*v - 159 = -23. Let q = -20 - v. What is the tens digit of q?
1
Let r = -4 - -38. What is the units digit of r?
4
Suppose -y - 2174 = -5*c, -5*c - 19*y + 17*y + 2177 = 0. What is the tens digit of c?
3
Let c be 5 + 0 + -1 + -1. Let p(f) = -f**3 + 3*f**2 + 2. What is the units digit of p(c)?
2
Let h = 14 + -9. Suppose -h*b + 169 - 54 = 0. What is the units digit of b?
3
Let b(n) = -n**3 - 6*n**2 - 4*n + 2. Let u be -7 + 10 - (8 + 1). What is the tens digit of b(u)?
2
Suppose -4*v + 124 = 12. What is the tens digit of v?
2
Let c = 61 - -107. What is the tens digit of c?
6
Let d(n) = n + 19. Let j be d(-8). Suppose 0*o + j = o. What is the units digit of o?
1
Let d(j) = -j - 3. Let m be d(-6). Suppose -13 = -m*v + 2*v. What is the tens digit of v?
1
Let a = -27 + 129. What is the hundreds digit of a?
1
Suppose -18*k = -23*k + 370. What is the tens digit of k?
7
Let t(h) = -h - 1. Let b be t(-7). Suppose -f = -b*f + 45. Let w(i) = i - 4. What is the units digit of w(f)?
5
Let k = -7 + 12. Suppose -5*p = -2*p + 3, k*f - 128 = 3*p. What is the units digit of f?
5
Let t be (0 - 0)/(2 + -3). Suppose 4*d + t*d + 2*j = 130, 4 = 4*j. What is the tens digit of d?
3
Let r be (48/(-5))/((-3)/30). Suppose -64 = -4*j + r. What is the tens digit of j?
4
Let t = 206 - 60. What is the tens digit of t?
4
Suppose 0*b + 1 = b. What is the units digit of b?
1
Let x(h) = h**2 + 4*h - 17. What is the tens digit of x(-10)?
4
Let u = 284 - 168. What is the hundreds digit of u?
1
Let b(z) = 18*z**3 - 2*z**2 + z. Let s be b(1). Suppose 0 = 2*o + 3*o. Suppose -2*i - 5 + s = o. What is the units digit of i?
6
Let x(f) = f - 2 + 5 - 4*f + 5*f**2. Let g be x(2). Suppose 5*s - g = 13. What is the units digit of s?
6
Let w = 375 - 244. What is the hundreds digit of w?
1
Suppose 0 = 7*q - 5*q - 38. What is the units digit of q?
9
Suppose 79 = 5*h + m, h + 56 = 5*h - m. What is the tens digit of h?
1
Suppose -3*s = -2*s - 3. Suppose -x - n - 9 = -3, -4*n - 16 = 0. What is the units digit of (s/x)/((-1)/4)?
6
Let t(n) = -n**2 + 10*n + 1. Suppose -2*g = -2*c - 2, 3*c + 7 = -0*g - g. Let u be ((-10)/(-2))/((-1)/c). What is the units digit of t(u)?
1
Suppose -10*a = -11*a. Suppose -6*w = -2*w - 16. Suppose 52 = w*k - a*k. What is the tens digit of k?
1
Let v = 28 - -13. What is the units digit of v?
1
Let j(y) = 4*y + 8. Let z(d) = -d - 1. Let b(r) = -j(r) - 6*z(r). What is the units digit of b(6)?
0
Suppose 0 = -3*x - c + 7 + 4, -3*c = x - 9. Suppose r - 3*r = -10. Suppose 0 = -5*g - x*v + 2*v + 20, -3*g + r*v - 16 = 0. What is the units digit of g?
3
Let o(t) = -t**3 + 7*t**2 - 3. Let p be o(7). What is the units digit of ((-33)/6)/(p/6)?
1
Let x(y) = y**3 - 8*y**2 - 8*y - 9. Let v be x(9). Let w be (0 - (2 + v))/(-2). What is the tens digit of (-3 - -1)*-6*w?
1
Let h be (1 + (-2 - -1))/(-2). Suppose 5*g - 3*g - 22 = h. What is the units digit of g?
1
Suppose 0 = 3*a - 33 - 3. What is the units digit of a?
2
Suppose -2*j - 4 = -12. Suppose 5*a + 3*n = -0*n + 42, -a = j*n - 22. What is the units digit of a?
6
Suppose 2*k = -3*v + 49, -2*v + 6*v = 20. Suppose 2 = -2*q, 3*q - 5*q - k = -3*w. What is the units digit of w?
5
Suppose 6 = 3*n, 5*n = -3*h + n + 11. Suppose h = 2*u - 3. Suppose 6*i = u*i + 24. What is the units digit of i?
6
Suppose -3*n - 6 = -5*n. Suppose -4*g + 44 = -n*f, 2*g - 10 = 5*f + 26. What is the units digit of g?
8
Let n = -4 - -12. Suppose -3*j + n*j = 20. Suppose -80 = -5*m - j*k, -18 = -3*m - 4*k + 38. What is the tens digit of m?
1
Let y(f) = f**3 - 7*f**2 + 10. What is the tens digit of y(8)?
7
Let x(a) = 3*a + 52. What is the units digit of x(0)?
2
Let j = 1 + 0. Suppose 4*o - 2*u - 15 = -1, 0 = 4*o - u - 11. Suppose y = o*z - 4, 2*z = 3*y - j - 3. What is the units digit of y?
4
Suppose 2*d = 4*h - 0*d - 70, -3*h + 2*d + 51 = 0. Let b = 32 - h. What is the tens digit of b?
1
Let d(a) = a**3 + 8*a**2 - 12*a - 10. What is the tens digit of d(-9)?
1
Let z(o) = -o**2 + o - 4. Let t be z(0). Let k = t - -19. What is the tens digit of k?
1
Let q = -1 - -1. Suppose q*c - 5*c = -70. What is the tens digit of c?
1
Let g(a) be the second derivative of -7/6*a**3 - 2/3*a**4 + 1/20*a**5 + a - 5*a**2 + 0. What is the units digit of g(9)?
8
Let v(n) = n**2 - 7*n - 2. Let x be v(7). Let d = -2 - x. Let p(s) = s**2 + 19. What is the units digit of p(d)?
9
Suppose -6 = 5*a + 4. Let y be (0 - a)/(5 - 4). What is the tens digit of y/4 + 81/6?
1
Suppose 0 = -2*c + 4*q, 5*q + 21 = -2*c + 2*q. Let n(r) be the second derivative of r**5/20 + r**4/2 - r**3/3 + 5*r**2/2 + r. What is the units digit of n(c)?
7
What is the tens digit of (2 + -5)*13*(-5)/3?
6
Suppose 4*x + 0*s = -3*s + 271, x + 3*s - 79 = 0. Suppose -b = 3*b + x. Let o = 23 + b. What is the units digit of o?
7
Let t(d) = -31*d**3 + d**2 - 1. What is the tens digit of t(-1)?
3
Let v(g) = 5*g - 1. Let s be v(5). Let n(p) = p**2 + 8*p + 4. Let a be n(-5). Let y = a + s. What is the tens digit of y?
1
Suppose -3*b + l + 112 = -23, 0 = 3*l - 9. Let w = b + -30. What is the te
|
{
"pile_set_name": "DM Mathematics"
}
|
e p(1). Let r be -3 + d*(-3)/(-6). What is the tens digit of 455/r - 2/8?
1
What is the hundreds digit of 516/16*-2*-4?
2
Let j = 14 - 8. Let x(v) = v**3 + 6*v**2 - 6*v + 7. Let u be x(-7). Suppose j + u = 2*r. What is the units digit of r?
3
Suppose -4*s = -2*s - 4*k - 24, -3*s + 5*k = -39. What is the units digit of s/(-4)*(-12)/9?
6
Let j(c) = -35*c - 23. What is the hundreds digit of j(-5)?
1
Suppose 2*n - 340 = -2*n + 4*k, n + 5*k - 55 = 0. What is the units digit of n?
0
Let j = -6 + 14. Suppose s - 6 = 2*f, 0 = 4*s - 3*s - 3*f - j. What is the units digit of s?
2
What is the tens digit of 10/(-35) - 72/(-7)?
1
Suppose -4*z + 29 = -c + 6, -2*c + 19 = 5*z. Let y = 1 - 1. What is the units digit of (c/(-9) - y)*21?
7
Suppose -2*k - 2*p + 12 = -6*p, -4*p = 4. Suppose 17 = j - k. What is the tens digit of j?
2
Let v be 12/5 + 10/(-25). Suppose 2*c = -0*c + 2*j - v, -5*c - j + 13 = 0. What is the units digit of c?
2
Suppose 0 = 2*r + 5*l - 105, r + 0*l = l + 56. What is the tens digit of r?
5
Suppose p + 3*p = -4*y + 16, -10 = -y - 3*p. Let u(o) = 13*o**3 - 2*o**2 + o. What is the tens digit of u(y)?
1
Let h(j) be the third derivative of -31*j**6/120 + j**5/60 + j**4/12 + j**3/6 + j**2. What is the units digit of h(-1)?
1
Suppose -a = 3 + 1. Let v = a + 2. What is the units digit of (-2)/(v*(-3)/(-15))?
5
Let v(n) = -87*n - 87. What is the units digit of v(-6)?
5
Let u(h) be the second derivative of h**5/20 + h**4/3 - 5*h**3/6 - h**2 - 3*h. Let z be u(-5). What is the units digit of -3*(z + 15/9)?
1
Suppose -f = 2*v - 91, 206 = 6*f - 4*f - 4*v. What is the units digit of f?
7
Let y(k) = -k**3 + 24*k**2 - 31*k - 33. What is the hundreds digit of y(22)?
2
Suppose 0 = 3*s + 112 - 388. What is the tens digit of s?
9
Let l be (3 + 0 + 0)*4. What is the units digit of l/8*(-4)/(-3)?
2
Let b = 32 + -19. What is the units digit of b?
3
Let y be -1 - -5 - (0 - -1). Suppose -3*s + 3 = -y. Suppose 0 = j - 3*n - 7, 5 = j + n - s. What is the units digit of j?
7
Let y(x) = x**3 - 5*x**2 - 7*x - 2. Let j be y(6). Let c = j + 11. What is the units digit of c?
3
What is the tens digit of 2 - -37 - (-4)/(-2)?
3
Let h(z) = z**3 - 5*z**2 - 8*z + 8. What is the units digit of h(7)?
0
Suppose -2*p - 190 = -3*p. What is the tens digit of p?
9
Let f(j) = -j - 3. Let c be f(-4). Let g = 7 - c. What is the units digit of g?
6
Suppose 5*g - 13 = -2*v, -5*v + 3*g = -25 - 23. What is the units digit of (-3)/v + (-37)/(-3)?
2
Let m(s) = 16*s - 1. Let u be m(1). Let g = -4 + 6. Suppose -w + u = g*w. What is the units digit of w?
5
Let y = -26 - -36. What is the units digit of (6/3*y)/2?
0
Let n be (15 + -1)/2 + -1. Let u(a) = -5*a**2 - 8*a + 2. Let t(b) = -6*b**2 - 8*b + 2. Let g(m) = 6*t(m) - 7*u(m). What is the units digit of g(n)?
0
Let c(z) = z**2 + 9*z - 8. Let v be c(-10). Suppose 47 = 3*n + v*j + 2*j, -2*j = -5*n + 61. What is the units digit of n?
3
Suppose -2*g - 3*g + 6 = -3*u, 5*u - 3 = 4*g. Let x be u*(4/3)/2. Suppose 2*y - 44 = -x*y. What is the units digit of y?
1
Let d = -6 - 0. What is the units digit of d/(-10) + (-114)/(-10)?
2
Suppose 9*z - 6 = 7*z. Suppose 2*s - 2*q = -s + 60, -z*q - 9 = 0. What is the units digit of s?
8
What is the units digit of (-1752)/36*((-3)/2 - 0)?
3
Let u(r) = 31*r - 2. What is the tens digit of u(1)?
2
Let p = -2 - 1. Let x be ((-2)/6)/((-1)/p). What is the units digit of (-9 - -5)*x/2?
2
What is the units digit of 28 - 2*(-3)/2?
1
Suppose 6 = 5*x + s, 4*x - s = -0*s + 12. Suppose 0 = 6*h - 2*h - 5*p - 6, 4*h - x*p = 12. What is the units digit of h?
4
Let z(v) be the third derivative of v**5/60 + 3*v**4/8 - 11*v**3/6 - 2*v**2. What is the units digit of z(-11)?
1
Suppose c + 3 = 6. Suppose -5*y = -c*w - 78, -3*y + 5*w = 5 - 39. Let o = y - 11. What is the units digit of o?
7
Let k = -3 + 5. Let j(u) = u**3 + 3*u**2 - 3*u + 5. Let a be j(-4). Let l = k - a. What is the units digit of l?
1
Suppose 4*j = r - j - 4, r + 3 = -2*j. Suppose 120 - 48 = 4*b. Let t = r + b. What is the tens digit of t?
1
Suppose 0*o = -2*o + 4. Suppose -3*m + 16 = -o*m. What is the units digit of m?
6
Let d be (32/(-56))/((-2)/7). Let i(k) = 4 + 3*k - d*k - 3. What is the units digit of i(9)?
0
Let v be 12/18 - (-53)/(-3). Let j = 9 + v. What is the units digit of (-17)/(-4) - (-2)/j?
4
Let r(w) = -w**3 + 6*w**2 - 2*w + 7. Let h(k) = -k**3 - 5*k**2 - 6*k - 3. Let s be h(-4). Let c be r(s). Suppose -t + c = t. What is the units digit of t?
1
Suppose -2*v - o + 71 = 0, 3*v + 3*o = -o + 119. What is the units digit of v?
3
Suppose 0 = -5*v - 5, -3*z - 5*v + 7 = -z. What is the tens digit of ((-204)/18)/((-4)/z)?
1
Let r be 46/2 - (-1 - 1). Suppose -b = c - r, -3*b + 95 = b - c. Suppose 0 = 5*h - p, 0 = -6*h + 2*h - 4*p + b. What is the units digit of h?
1
Let z(g) be the first derivative of 11*g**3/3 - g**2 + g + 1. What is the tens digit of z(1)?
1
Let s(c) = c**3 - 10*c**2 + 3*c - 15. What is the units digit of s(10)?
5
Suppose -712 = -0*q - 4*q. What is the tens digit of q?
7
Suppose -2 = -r + 16. Suppose 5*c - 2 - 4 = p, c = -4*p + r. Suppose c*m + 0*o - 5*o - 45 = 0, -m = -5*o - 35. What is the units digit of m?
0
Let x = 237 + -136. What is the hundreds digit of x?
1
Suppose -4*u + 0*u = -52. Suppose -z + u = -5. What is the units digit of z?
8
Suppose -3*r - 288 = -5*j - 4*r, -2*r + 63 = j. What is the units digit of j?
7
Let k = -10 + 20. What is the tens digit of k?
1
Let d(i) = -4*i**3 - 12*i**2 - i - 2. Let f(z) = -11*z**3 - 35*z**2 - 3*z - 5. Let j(b) = -17*d(b) + 6*f(b). What is the tens digit of j(4)?
3
Let g = 34 + 142. What is the hundreds digit of g?
1
Let q be (7 - (-1 + -1))*-3. Suppose 0*h = h + 13. Let t = h - q. What is the units digit of t?
4
What is the units digit of 10 - 5 - (-4 + 2)?
7
What is the units digit of ((-2)/6)/((-7)/168)?
8
Suppose 3*h = 3*q - 0 + 9, q + 23 = 5*h. Suppose 4*f - 2*b = -62, q*f + b + 23 = -18. What is the units digit of (-94)/f - (-8)/(-36)?
5
Let f = -7 - -2. Let o(w) = w**3 + 5*w**2 - 7*w - 6. What is the units digit of o(f)?
9
Let o(k) be the third derivative of k**6/120 + k**5/6 - 17*k**4/24 - 5*k**3/2 + 4*k**2. What is the tens digit of o(-11)?
5
Let v(a) = -2*a - 8. Let y be v(-6). Let d be (1 - 1) + 2/1. Suppose -d = -c + y. What is the units digit of c?
6
Let g = 170 + 109. What is the tens digit of g?
7
Let a(d) = -d - 9. Let m be a(-7). Let v be -2*2/m - 1. What is the units digit of (-10)/(-6) - v/(-3)?
2
Suppose -2*k = 3*l - 2*l - 753, -1136 = -3*k + 5*l. What is the hundreds digit of k?
3
Let w be 1/(-2)*(2 - 10). Suppose -w = -5*d + 1. What is the units digit of d?
1
Let j(n) be the second derivative of 2*n**3/3 - 15*n**2/2 - n. What is the units digit of j(6)?
9
Let b(u) = -u**3 + 5*u**2 - 2*u - 5. Let c be b(4). Let i = 5 + -3. Suppose 2*y = i*p - 4, 5*p - 9 - 1 = c*y. What is the units digit of p?
2
Let y = 19 - 14. Suppose -y*h = k - 27, -k - 23 = -0*k - 5*h. What is the units digit of k?
2
Suppose 0 = 6*w - 2*w - 60. Suppose -2*t = -w - 15. Suppose 12 = 4*p - 3*n, -2*p + 5*n + t = 3*p. What is the units digit of p?
3
Let z(r) be the second derivative of r**3/6 + 2*r. Let n be z(4). Suppose 16 = 5*f - n. What is the units digit of f?
4
Let b be (4/(-3))/((-2)/309). Suppose -3*d + 35 - 243 = -5*x, -d - b = -5*x. What is the tens digit of x?
4
What is the tens digit of (0 + (-69)/(-3))/1?
2
What is the units digit of (-364)/(-6) - 3/(-9)?
1
Suppose 4*h - 434 = 2*n, -n = 3*h - 2*n - 325. What is the tens digit of h?
0
Suppose -4*m + 3*g = -281, -54 = 3*m - g - 266. What is the tens digit of m?
7
Let v = -3 - -8. Suppose v*g - 8 - 107 = 0. Let r = g - 12. What is the tens digit of r?
1
Let o(u) = 4*u - 5. Let z be o(2). Let a be 2/(2/3) + 2. Let i = z + a. What is the units digit of i?
8
Suppose 0 = -0*c - 5*c + 230. What is the tens digit of c?
4
Let g be (-8)/28 - (-52)/(-14). Let s = -2 - g. Let a = 1 + s. What is the units digit of a?
3
Let v be (-4)/(-18) - (-98)/126. Let l = 9 + -14. What is the units digit of (v/(-3))/(l/30)?
2
What is the hundreds digit of 1*((-1255)/15)/(3/(-9))?
2
Let q(r) = 5*r. Let o be q(2). Suppose -3*t + 67 - 61 = 0. What is the units digit of o + (t - 3)/1?
9
Suppose 2*x + 210 = 3*x. Let t be x/27 + (-4)/(-18). Let m = 2 + t. What is the tens digit of
|
{
"pile_set_name": "DM Mathematics"
}
|
(2 - 2 + 1)*(0*u - 2*u + 0*u) - 3*u + 5*u + 0*u - 5*u + u + 3*u + 1 - 1 + 2*u + (4 - 4 - 2*u)*(-1 - 2 + 2) - 4*u + 5*u + u - 3*u + 4*u + u.
7*u
Expand (1 - 1 - 3*j**2)*(-94*j**3 + 126*j**2 - 61*j**2 - 65*j**2).
282*j**5
Expand (3*n + 8 - 2*n - 7)*(4 - 3 + 1)*(-11*n**3 + n**3 + 4*n**3).
-12*n**4 - 12*n**3
Expand (2 - 1 + 0)*(-7 - 1 + 2)*(-6 + d**3 + 6).
-6*d**3
Expand (0*s + 0*s + s)*(3*s + 2*s - 2*s - s**2).
-s**3 + 3*s**2
Expand (3*c + 4*c - c)*(-3 - 1 + 3)*(0*c + 0*c - c + (2*c - 2*c - 2*c)*(-2 + 0 + 3)).
18*c**2
Expand (-4*r + 2*r**2 - 5*r**2 + r)*(-5 + 3 + 1)*(-3 - 4*r + 3).
-12*r**3 - 12*r**2
Expand -1 - m**5 + 3 + 3*m**5 - m**5 + 3*m**5 - 4*m**5 + (2*m**2 + 2 - 2)*(m**3 + m**2 - m**2) + m**5 + 4*m**5 - 6*m**5.
m**5 + 2
Expand (1 - 3 + 4)*(-2*a + 2*a + a**3) + (0*a**2 - 3*a**2 + 6*a**2)*(a + 0 + 0) - 2*a**3 + 0*a**3 + 3*a**3 - 4*a**3 + 5*a**3 + 0*a**3.
7*a**3
Expand (-8*t - 27 + 27 + (t - 3 + 3)*(-2 + 0 + 1))*(-t**2 + t**2 - 2*t**2).
18*t**3
Expand (3 + 4 - r - 6)*(-2 + 7 + 2)*(1 - 1 - 2).
14*r - 14
Expand (-17 + 10 - 18)*(2*k**2 - 1 + 1).
-50*k**2
Expand (-7 + 3 + 3)*(126*i**5 + 2*i**4 - 288*i**5 + 137*i**5).
25*i**5 - 2*i**4
Expand m**2 + m - m - 2*m**2 + 5*m**2 - 4*m**2 + 2*m**2 + m**2 - 4*m**2 + (-m**2 - m**2 + 0*m**2)*(5 + 1 - 4) + (0*m + 0*m - 2*m**2)*(1 - 5 + 5).
-7*m**2
Expand (w - 1 + 1)*(-5 - 17 + 7)*(2*w + 4 - 4).
-30*w**2
Expand (-7*v**2 + 13 - 13)*(-45 + 45 + 7*v).
-49*v**3
Expand (2*c - 2*c + 3*c)*(-41 + 41 + 4*c**2).
12*c**3
Expand (2*j**4 + 2*j**4 - 3*j**4)*(-3 + 0 - 2 + 0 - 3 + 2 + (1 + 0 - 2)*(-2 + 4 + 0)).
-8*j**4
Expand (4*m - 4*m - 2*m)*((2 - 2 + m**2)*(3*m + m - 5*m) - 2*m**3 + 0*m**3 + m**3 + 0*m + 0*m - m**3 + (2 - 3 + 3)*(3*m**3 + 0*m**3 - 2*m**3)).
2*m**4
Expand (-8 - 5*j + 6*j + 7)*(0 - 2 + 0) - 5*j + 2*j + 4*j + j + 0*j - 3*j + (4*j + 2*j - 5*j)*(-3 + 4 - 3) - 1 - 2*j + 1 - 5 + j + 5.
-6*j + 2
Expand -d**5 - d**5 + d**5 + (0*d - d**4 + 0*d + (-2*d - 2 + 2)*(3*d**3 - 4*d**2 + 4*d**2) + 0*d**4 + 2*d**4 + 0*d**4)*(-4*d - 2*d - 2*d).
39*d**5
Expand (y + y - 3*y)*(18*y + y**3 - 4*y**3 - 16*y).
3*y**4 - 2*y**2
Expand (5 - 4 + 1)*(0 + 0 - 2*n**5) + 2*n**2 - 2*n**2 + 5*n**5 + n**3 + 2*n**5 - n**3.
3*n**5
Expand (3 - 5 + 0)*(7 - 2 - 1)*(-4 - 2*y + 4)*(-1 - 1 - 1).
-48*y
Expand 3*t**3 - 2*t**3 - 2*t**3 + 3*t - 3*t + t**3 + (2*t**2 - t**2 + 0*t**2)*(-2*t + 0*t - t).
-3*t**3
Expand 2*b**4 - 30*b + 1 + 30*b + (-b**3 - 2 + 2)*(4*b - 3*b - 3*b).
4*b**4 + 1
Expand (3 + u - 3)*(12 + 7 + 1)*(-4*u + u**2 + 4*u).
20*u**3
Expand (-2 + 2 + o**4)*(-4*o + 5*o - 3*o) - 2*o + 3*o**5 + 2*o + 2*o**5 + o**3 - o**3 + (-4*o**5 + 0*o**5 + 2*o**5)*(-2 + 1 + 0) + o**5 + o**3 - o**3.
6*o**5
Expand -7*w**2 - 9*w**2 + 3*w**2 - 2*w**2 + 5*w**2 - w**2 + (-4*w + 2*w + 4*w)*(w + 4*w - 3*w) - 4*w**2 + 3*w**2 + 3*w**2.
-5*w**2
Expand (-4*i - 13*i - 20*i)*(4*i**2 - i**2 - 2*i**2).
-37*i**3
Expand (-2 + 7*j + 0 + 1)*(-2*j + 2*j - j).
-7*j**2 + j
Expand (-3*d + 2*d + 5*d)*(-10 + 4*d + d + 8).
20*d**2 - 8*d
Expand (3*m**2 - 2*m**2 - 8*m**2)*(7 - 3 - 2).
-14*m**2
Expand (-11*o + 0*o + o)*(0*o**2 + 0*o**2 - 2*o**2) + (-o**2 - 2*o**2 + 2*o**2)*(-5*o - 2*o + 5*o).
22*o**3
Expand (0*h - h + 0*h)*(2 - 5 - 4)*(2*h - 4*h + h).
-7*h**2
Expand -j**4 + 0*j**4 - j**4 + 1 - 1 - 2*j**4 + (-1 - 3 + 3)*(1 - j**4 - 1) + 0*j**4 - 2*j**4 + 0*j**4 - 110*j**4 - 112*j**4 - 35*j + 2 + 224*j**4.
-3*j**4 - 35*j + 2
Expand (-4 + 4 + 2*b**3 + (2 + 3 - 2)*(-b**3 + b**3 + b**3))*(-b + 2*b + 0*b).
5*b**4
Expand (3 - 3 - 3)*(x**3 + 0*x**3 + x**3) + (5*x**2 + 0*x**2 - 3*x**2)*(0 + 0 + 2*x) - 4 + 4 + x**3.
-x**3
Expand v**4 + v - v + (-v**2 + 1 - 1)*(-4*v**2 + 2*v**2 + 5*v**2).
-2*v**4
Expand (-3 - 2*m + 3)*(-3*m**4 + m**4 + 4*m**4) + 2 + m**5 - 2 - 6*m + 2*m**5 + 6*m + m**5 - 4*m**5 + m**5 + (1 - 1 - 2*m)*(-2*m**4 + m**4 - m**4).
m**5
Expand ((4 + 2*t - 4)*(1 + 0 + 0) + 2*t - t - 4*t)*(5*t**4 - 2*t**4 + 0*t**4)*(-3 + 0 + 2).
3*t**5
Expand (-4*j + 2 - 2)*(0*j**2 - 2*j**2 + 3*j**2)*(j + 6*j**2 - j + (-j + 3 - 3)*(-2*j - 2*j + 5*j)).
-20*j**5
Expand 6*j**4 - 3*j**4 - j**4 + (3*j**3 + 0*j**3 - 6*j**3)*(-2 + 2 - 2*j) + (2*j + 0*j - j)*(-2*j**3 - 3*j**3 + 3*j**3).
6*j**4
Expand -o + o + 2*o**3 + 3*o**3 - o**3 - 3*o**3 + (0*o**2 + o**3 + 0*o**2)*(3 - 4 + 0) - 6*o**3 + 8*o**3 + 6*o**3 + o**3 + 0 + 0.
9*o**3
Expand (-s + 3*s - 3*s)*(-6 + 4 + 12).
-10*s
Expand (j + 5 - 5)*(-3*j + 8*j + 17*j).
22*j**2
Expand (3 - 2*m**4 + 175*m - 177*m + m**4)*(-1 - 1 + 1).
m**4 + 2*m - 3
Expand (1 - 8*i - 4*i + 13*i)*(-4*i**2 + 3*i**2 + 7*i**2).
6*i**3 + 6*i**2
Expand (2*t + 0*t - 3*t)*(-4*t + 2*t**2 + 4*t + (5*t - t - 2*t)*(5*t - 6*t + 4*t))*(-4*t - 4*t + 0*t).
64*t**4
Expand (54*n + 22*n - 19*n)*(2*n**2 - 5*n**2 + 2*n**2).
-57*n**3
Expand (0*k - k + 0*k)*(0*k + k - 2*k).
k**2
Expand (-3 - 1 + 1)*(-18*s + 7*s - 9*s).
60*s
Expand (h**3 - 4*h**3 + 4*h**3)*(30*h**2 - 21*h**2 + 10*h**2).
19*h**5
Expand (0*s + 1 - 2 + 2*s)*(2 - 2 + 1)*(0*s**2 + 10*s**2 - 5*s**2).
10*s**3 - 5*s**2
Expand (1 - 1 - g**2)*(-1 - 2 + 7) + (0*g + 0*g + 2*g)*(g + g + 4*g) + 3*g**2 - 6*g**2 + 2*g**2.
7*g**2
Expand 6*i**2 + 5*i**2 - i**2 + (-6*i + 3*i + 4*i)*(0*i + 6*i - 4*i).
12*i**2
Expand (-4 - 3 + 3)*(-2*y + 2 + 4*y**2 - 5*y**2 + 3*y).
4*y**2 - 4*y - 8
Expand (-2*r + 2*r - 2*r)*(-6*r**2 + 8*r**2 + 8*r**2).
-20*r**3
Expand (2*d**2 - 3*d**2 + 2*d**2)*(-d**3 + 4*d**3 - 4*d**3) - 3*d**4 + 3*d**4 + 2*d**5 - 10*d**5 + 60*d**5 - 18*d**5.
33*d**5
Expand (q**2 + 3*q**2 - 3*q**2)*(3*q**2 - 5*q**2 + 25*q**2).
23*q**4
Expand -4*u**2 + 0 + 0 + 3*u**2 - 4*u + 4*u + (-1 + 0 + 0)*(-2*u**2 + u**2 + 2*u**2).
-2*u**2
Expand (3 + 0 - 1)*(-1 - 2 + 1 + 1 + 2 - 2 + 2 - 2 + 1 + (-3 + 5 - 3)*(-4 + 6 - 3))*(-506*r - 14*r**3 + 506*r).
-28*r**3
Expand (4 - 4 - 2*w)*(0*w**2 + 3*w**2 - w**2) - 3*w**3 + 5*w**3 + 0*w**3 + 83*w**2 - 16*w**3 - 83*w**2.
-18*w**3
Expand ((-3 + 3 + 3)*(-1 - 4 - 3) + 0 - 4 + 3)*(-4*k**3 + 4*k**3 + k + 2*k**3).
-50*k**3 - 25*k
Expand (2*k**2 - 2*k + 2*k)*(7*k**3 + 15*k - 15*k) + (-4*k**2 - 3*k**2 + 2*k**2)*(0*k**3 + 2*k**3 + 0*k**3).
4*k**5
Expand (1 - 1 + 2*r)*(-r**4 + 5*r**3 - 5*r**3) + 2 + 4 - 4*r**5 + 2*r**5.
-4*r**5 + 6
Expand 0 + 0 + 4*s - 3*s + 5*s - 3*s - 2*s - s + s + (4 - 5 + 0)*(2*s - 2*s - s).
2*s
Expand (1 - l + 6 - 9)*(12*l**2 - 12*l**2 + 4*l**3).
-4*l**4 - 8*l**3
Expand (-6 + 0 + 2)*(2*i - 2*i + i**3).
-4*i**3
Expand (-2 - 1 + 2)*(-22*b**3 + 31*b - 31*b)*(5 + 1 - 4)*(4 + 2 - 4 + (2 - 1 - 3)*(-2 - 1 + 5)).
-88*b**3
Expand -d - 2*d + 2*d + (-2 - 1 + 5)*(-2*d + 0*d + d) + 2*d - 3*d + 0*d + (4 - 1 - 2)*(-3*d + 3*d - 2*d).
-6*d
Expand (4 - 2 - 1)*(15 - 15 + 9*f) + 3 - 2*f - 3.
7*f
Expand (0*u**4 + u**4 - 2*u**4)*(-2*u + 0*u + 4*u) - u**4 - u**2 + 3*u**4 + 0*u**4 + 3*u**5.
u**5 + 2*u**4 - u**2
Expand (7 - 3 - 2)*(4*i**5 - 1 + 1) + i + 3*i**5 + i + 0*i**5.
11*i**5 + 2*i
Expand -5*u**2 - 15*u**2 - u**2 + (-4*u + 4*u + u)*(-3*u - u + 6*u) - 6*u**2 + 2*u**2 + 3*u**2.
-20*u**2
Expand (-6*w + 2*w + w)*(-7*w + 3*w + 2*w) + 4*w**2 - w**2 - w**2.
8*w**2
Expand (-4*t + 6*t - 4*t)*(-t + t + t)*(-17 - 17 + 3) - 3*t**2 - 3*t**2 + 5*t**2.
61*t**2
Expand (-3*z**2 + 2*z**2 - 4*z**2)*(5 + 2*z**3 - 5 + 4*z**3 - 2*z**3 + 0*z**3 - 2*z**3 + z**3 + 2*z**3 + (0 - 1 - 1)*(2*z**2 + z**3 - 2*z**2)).
-15*z**5
Expand -263*d**3 + 263*d**3 + 11*d**5 + (2*d**3 + 0*d**3 + 0*d**3)*(-4*d - 2*d**2 + 4*d).
7*d**5
Expand (3*i**4 + 2*i**4 - 4*i**4 + 10*i**4 + 3*i**4 + 6*i**4 - 2*i**4 + i**2 - i**2 + (0 - 1 - 1)*(3*i**4 + i**4 - 2*i**4))*(-4*i + 4*i - i).
-14*i**5
Expand 2*r**2 + 6*r**2 - 4*r**2 - 3*r**2 - 6*r + 6*r + (-3*r + 2*r + 2*r)*(r + 0 + 0).
2*r**2
Expand 4*f**2 - 2*f**2 - 4*f**2 + (-7*f - f - 16*f)*(-1 + 1 + f).
-26*f**2
Expand (5 - 7*x**2 - 5)*(2 - 2*x + 3*x - 3*x)*(-2*x + x - 2*x).
-42*x**4 + 42*x**3
Expand (6*p**4 - 4*p**4 - 3*p**4)*(-1 - 2 + 4)*(0*p - 4*p + 2*p).
2*p**5
Expand -3*b + 3*b - 3*b**2 + (-2*b + 5*b - 2*b)*(-b + 2*b - 2*b) + 0 - 2*b**2 + 0.
-6*b**2
Expand -2*u**5 + 3*u**5 - 3*u**5 + (-6 + 3 - 4)*(5 - 5 - 2)*(-u**5 + u**5 - 7*u**5).
-100*u**5
Expand (-x**2 + 0*x**2 + 3*x**2)*(0 - 2 + 0)*(-3 + 2 - 4).
20*x**2
Expand (-2 - 6 + 4)*(5 + 3 - 4)*(2 - 1 + 4*v - 5*v).
16*v - 16
Expand 11 + 5*v - 11 + (-3 + 3 - 2)*(2*v + 3*v - 3*v) + 2*v - 5*v + v + (-2*v + 0 + 0)*(-1 + 3 - 1).
-3*v
Expand (3 - 14 - 2)*(1 - 2*z + 2*z - 2*z).
26*z - 13
Expand (f - 3*f - 2*f)
|
{
"pile_set_name": "DM Mathematics"
}
|
spect to k.
-22856*j**3
Find the third derivative of 1190*h**6 - 2*h**4 + 46*h**2 + 20 wrt h.
142800*h**3 - 48*h
Find the third derivative of -2*i*j*o**3 + 2*i*j*o**2 - 3*i*o - 10*j**2*o**3 - 10*j**2*o - 5*j*o**3 - j wrt o.
-12*i*j - 60*j**2 - 30*j
What is the third derivative of 6*o**4*v**2 - 2*o**4*v + 77*o**3*v + 876*o**2*v**2 wrt o?
144*o*v**2 - 48*o*v + 462*v
Differentiate -7239*d*x*z**3 + 118*d*z**3 + 4*d*z - 2*x*z**3 with respect to x.
-7239*d*z**3 - 2*z**3
Find the third derivative of 437*j**6 + 3*j**2 + 143.
52440*j**3
What is the second derivative of 4*z**5 + 149*z**3 - 631*z wrt z?
80*z**3 + 894*z
Find the third derivative of -2124*n**6 + 63*n**2 + 5*n.
-254880*n**3
What is the third derivative of -g*l**3*r - 2*g*l**2*r + 16*g*l**2 + 12*g*l - l**4 - 17*l**3*r wrt l?
-6*g*r - 24*l - 102*r
What is the derivative of -3*f*q**3 - f*q + 1375*f + 18447*q**3 wrt f?
-3*q**3 - q + 1375
Find the first derivative of -308*c*m + 21*c - 8*m**2 - 52 wrt m.
-308*c - 16*m
Find the second derivative of -6*p**5 - 8*p**4 - 234*p.
-120*p**3 - 96*p**2
What is the first derivative of -161*a*z**3 + 3*a*z**2 + 2675*a + 4*z**3 - 1 wrt z?
-483*a*z**2 + 6*a*z + 12*z**2
What is the first derivative of -2*j**3 + 22*j**2*r - 256*r wrt j?
-6*j**2 + 44*j*r
What is the second derivative of -a**2*k**2*u**3 - 3*a**2*k**2*u + 8*a**2*k*u**2 + 2*a**2*u**2 + a**2*u + a*u**3 - 141*k**2 - 18*k*u**2 wrt k?
-2*a**2*u**3 - 6*a**2*u - 282
Find the third derivative of -3485*r**5 + 27*r**2 + 2*r + 20 wrt r.
-209100*r**2
What is the second derivative of -c**3*s*v + 2*c**2*s**3 + 185*c**2*s + 258*c*s**3 - c*s*v + s**3*v wrt c?
-6*c*s*v + 4*s**3 + 370*s
Differentiate f**2*r + 8*f**2 - 3*f*r**3 - 619*f*r - 505 wrt r.
f**2 - 9*f*r**2 - 619*f
What is the derivative of -326*v**2 + 1134 wrt v?
-652*v
Differentiate -o*x**3 - 3*o - 716*x**4 + 11 wrt x.
-3*o*x**2 - 2864*x**3
Find the third derivative of -12878*w**3 + 32*w**2 + 124.
-77268
Find the first derivative of 3*h**3 - h**2 - 81*h + 4106.
9*h**2 - 2*h - 81
Find the first derivative of -14*c**3*k**3 - 49*c**3*k**2*m + 7*c*k**3*m + 77*c*k**3 wrt m.
-49*c**3*k**2 + 7*c*k**3
Find the second derivative of -i**2*j**2 - 2*i**2*j + 21*i**2 - 100*i*j**3 - 3*j wrt j.
-2*i**2 - 600*i*j
What is the third derivative of 9*q*w**6 - 7729*q + 772*w**6 + 2*w**2 wrt w?
1080*q*w**3 + 92640*w**3
What is the third derivative of -16*k**4*r**2 - 6*k**4*r + 2*k**2*r**2 - 164*k*r**2 - 2 wrt k?
-384*k*r**2 - 144*k*r
Find the third derivative of -28*a**6 + 3*a**4 + 146*a**2 wrt a.
-3360*a**3 + 72*a
What is the derivative of 268*o**3 + 114?
804*o**2
What is the second derivative of l**2*r**2*x + l**2*r*x**2 + 2*l**2*x - 81*l*r**2 - r**2*x**2 - r*x**2 + 57*x**2 + x wrt x?
2*l**2*r - 2*r**2 - 2*r + 114
Find the third derivative of -202*d**3*u*w**2 + 5*d**3*w**3 + 2*d**2*u*w - d**2*w**2 - 5*d*u*w - d*w**3 - 78 wrt d.
-1212*u*w**2 + 30*w**3
What is the second derivative of 2*d**3*v**3 + d**3*v**2 + 5*d**3 - 639*d**2*v**2 - 3*d**2*v - 45*d wrt v?
12*d**3*v + 2*d**3 - 1278*d**2
Find the first derivative of -105*d - 1196 wrt d.
-105
What is the first derivative of m**3*w + 48*m**2*w**2 - 78*w**2 + 2 wrt m?
3*m**2*w + 96*m*w**2
Find the third derivative of -k**4*t**2 + k**4 + 40*k**3*t - k**3 - 7*k**2*t + k*t**2 - 6*k - 4*t**2 wrt k.
-24*k*t**2 + 24*k + 240*t - 6
What is the third derivative of 114*i**5 - i**4 + 3*i**3 + 4097*i**2 wrt i?
6840*i**2 - 24*i + 18
Differentiate 7879*b**4 + 4233 wrt b.
31516*b**3
What is the second derivative of 279*x**3*y**4 + 4*x**3*y + 2*y**4 + 25*y wrt y?
3348*x**3*y**2 + 24*y**2
What is the derivative of 100*n*v**3 + v**3 - 15*v**2 wrt n?
100*v**3
Find the third derivative of 752*o**5 - 122*o**2 + 2*o.
45120*o**2
What is the second derivative of -30*b**2*i**2*u - 5*b*i**2*u + 2*i**2 - 17*u wrt b?
-60*i**2*u
What is the first derivative of -k**2*u + 66*k**2 + 96*k*u wrt u?
-k**2 + 96*k
What is the second derivative of 4*m**2*p**3*w**3 - 36*m**2*p**3 - 29*m*w**2 + p**3*w**3 - 5*p**3 wrt m?
8*p**3*w**3 - 72*p**3
What is the first derivative of -202*l - 217?
-202
Differentiate 5*o**4 + 68*o**2 + 799 with respect to o.
20*o**3 + 136*o
What is the derivative of 4158*o - 9953 wrt o?
4158
What is the derivative of -b**2*q**3 - 334*b**2*q**2 + 4*b**2*w**2 + 45*b**2*w - 2*q**3*w**2 - 3*q**3 wrt w?
8*b**2*w + 45*b**2 - 4*q**3*w
What is the second derivative of -2*r**3 + 8*r**2 + 451*r?
-12*r + 16
What is the third derivative of 142*o**3 - 20*o**2 wrt o?
852
Find the third derivative of 3*j*l*x**3 + 2*j*l*x**2 - 27*j*x**5 + 4*j*x - 2*l*x**4 + 13*l*x wrt x.
18*j*l - 1620*j*x**2 - 48*l*x
What is the second derivative of 960*f**2*i**2 + 3*f**2*i - 276*f**2 + 6*f*i**3 + 2*i - 1 wrt i?
1920*f**2 + 36*f*i
What is the third derivative of 695*o**6 + 155*o**2 + 2?
83400*o**3
Find the second derivative of b**2*h**2*z - 25*b**2*h*z**2 + 3*b**2*z - b*h**2*z + 35*b*h**2 - b*h - h**2*z**2 wrt b.
2*h**2*z - 50*h*z**2 + 6*z
What is the second derivative of -669*m**5 - 679*m?
-13380*m**3
What is the second derivative of c**3*g*h - 19*c**3*h**2 + 30*c**2*g*h**2 + c*h**2 + 12*c*h + 188*g*h wrt h?
-38*c**3 + 60*c**2*g + 2*c
Find the third derivative of -992*y**4 + 149*y**2 + 3.
-23808*y
What is the second derivative of 1546*l**2 + 1303*l?
3092
Find the second derivative of -8677*o**2*r - 15*o*r + o + 2 wrt o.
-17354*r
Differentiate -25864*a**3*d - 9*a**3 + 98 wrt d.
-25864*a**3
What is the third derivative of -2*a**2*m**3*r**3 + 224*a**2*r**3 + 2*a**2*r**2 - 11*a*m**3*r**2 - 18*m**2*r**2 wrt r?
-12*a**2*m**3 + 1344*a**2
Find the first derivative of 2093*f*h*m - f*h + 7962*f*m + 2*f + h*m wrt h.
2093*f*m - f + m
Find the third derivative of 17111*d**3*n**3 + 10*d**3 - d**2*n**5 + 9*d**2*n**2 + 15*d*n wrt n.
102666*d**3 - 60*d**2*n**2
What is the derivative of -437*k**3*p**4 + 500*k**3 wrt p?
-1748*k**3*p**3
Find the second derivative of 420*k**3 + 4*k**2 - 541*k.
2520*k + 8
Find the second derivative of 21*g**4 + 6*g**2 - 162*g + 2 wrt g.
252*g**2 + 12
Find the third derivative of 1109*m**4 - m**3 - 7678*m**2.
26616*m - 6
Find the third derivative of -97*g**3 - g**2 - 167*g.
-582
What is the third derivative of -2*q**5 - 2*q**4 - 49*q**3 - q**2 + 8*q - 5?
-120*q**2 - 48*q - 294
Find the first derivative of 17759*g - 2354.
17759
Find the first derivative of -1463*q**3 - 962.
-4389*q**2
Find the second derivative of -9793*d**3 + 9*d + 154 wrt d.
-58758*d
Differentiate -229*p**3 + 7*p + 20964 wrt p.
-687*p**2 + 7
Find the third derivative of -2*d**4*g + 35*d**3*g + d**2*g - 3*d**2 + 31*g wrt d.
-48*d*g + 210*g
Find the third derivative of -258*c**6 + 2*c**2 - 97*c.
-30960*c**3
What is the derivative of -13465*a*x - 9399*a wrt x?
-13465*a
Find the second derivative of 11*c**5*q + 160*c**2*q**3 - c*q**3 + c*q**2 + 87*c + 5*q wrt c.
220*c**3*q + 320*q**3
Find the first derivative of 2369*l**3*n + 8*l**3*p - 3*l**2*n*p + 15*l*p + 6*n wrt p.
8*l**3 - 3*l**2*n + 15*l
Differentiate -164*v**2*x - 3750*v**2 - 5*v*x**2 wrt x.
-164*v**2 - 10*v*x
Find the third derivative of 79*v**4 + 81*v**2.
1896*v
Find the third derivative of -a**3*o**3 - 5*a**3*o**2 - 79*a**2*o**4 - 6*o**2 wrt o.
-6*a**3 - 1896*a**2*o
Find the second derivative of 2*d**3*v - d**3 - 3373*d**2*v - 21748*d*v wrt d.
12*d*v - 6*d - 6746*v
Find the first derivative of 82*t - 213.
82
Differentiate 7*f**4 - 219*f + 1072 wrt f.
28*f**3 - 219
Find the second derivative of -16*b**3*f**2*w - 9*b**3*f*w + 5*b**3*f - 36*f**2*w - 2*f wrt f.
-32*b**3*w - 72*w
Find the second derivative of -150*a**2*o**2 + 17*a**2*o - a**2 + 3 wrt o.
-300*a**2
Find the first derivative of 3*h**3*x**2 + 5*h**3*x - 38*h**3 + 3*x**2 wrt x.
6*h**3*x + 5*h**3 + 6*x
What is the third derivative of -242*o**2*s*x**3 - 306*o**2*x**2 - 3*o*x**2 - 2*s**3*x**3 - 3*s**3*x**2 - 9*s*x**3 wrt x?
-1452*o**2*s - 12*s**3 - 54*s
What is the third derivative of g**2*s**2 - 1279*g**2*v**3 - 15*g**2*v**2 - 34*g*s**2*v**2 - 4*s**2*v**3 wrt v?
-7674*g**2 - 24*s**2
What is the derivative of d**3*f + d**3 + 68*d**2*f**3 + 217*d wrt f?
d**3 + 204*d**2*f**2
What is the second derivative of -746*r**3 - 625*r?
-4476*r
Find the second derivative of -2*v*y**4 - 27*v + 211*y**4 - y wrt y.
-24*v*y**2 + 2532*y**2
Find the second derivative of 792*v**2*y**2 - 2*v*y**2 - 440*v*y -
|
{
"pile_set_name": "DM Mathematics"
}
|
5307, -47193, -59079?
-11886*p + 351
What is the a'th term of -1250, 17464, 36178, 54892, 73606, 92320?
18714*a - 19964
What is the q'th term of 11125, 20739, 30353, 39967?
9614*q + 1511
What is the i'th term of 8990, 17970, 26940, 35888, 44802, 53670, 62480, 71220?
-2*i**3 + 7*i**2 + 8973*i + 12
What is the h'th term of 20898, 41166, 61434, 81702?
20268*h + 630
What is the l'th term of -539, -1399, -2587, -4103, -5947, -8119, -10619?
-164*l**2 - 368*l - 7
What is the t'th term of 141709, 283308, 424907, 566506?
141599*t + 110
What is the y'th term of 9872, 9737, 9516, 9209?
-43*y**2 - 6*y + 9921
What is the p'th term of 2335, 10726, 25177, 45688, 72259, 104890?
3030*p**2 - 699*p + 4
What is the a'th term of -1698849, -1698863, -1698877, -1698891?
-14*a - 1698835
What is the a'th term of 733741, 733748, 733755, 733762?
7*a + 733734
What is the k'th term of -14374, -13815, -13246, -12661, -12054, -11419, -10750?
k**3 - k**2 + 555*k - 14929
What is the z'th term of -110559, -222044, -333529?
-111485*z + 926
What is the v'th term of 141211, 565047, 1271509, 2260597, 3532311?
141313*v**2 - 103*v + 1
What is the d'th term of -71257, -285035, -641337, -1140163, -1781513, -2565387, -3491785?
-71262*d**2 + 8*d - 3
What is the y'th term of 7976778, 31907109, 71790994, 127628433, 199419426, 287163973, 390862074?
7976777*y**2 + 1
What is the a'th term of -5031069, -10062167, -15093265, -20124363, -25155461, -30186559?
-5031098*a + 29
What is the n'th term of 26411, 45304, 76793, 120878?
6298*n**2 - n + 20114
What is the g'th term of -270, -25, 378, 939, 1658, 2535, 3570?
79*g**2 + 8*g - 357
What is the z'th term of -131720, -263450, -395168, -526868, -658544, -790190?
z**3 - 131737*z + 16
What is the d'th term of 4380516, 17522058, 39424620, 70088196, 109512780, 157698366, 214644948?
-d**3 + 4380516*d**2 + d
What is the x'th term of 16068, 13376, 8890, 2610?
-897*x**2 - x + 16966
What is the w'th term of 242880892, 485761783, 728642674, 971523565?
242880891*w + 1
What is the z'th term of 6420, 12664, 18894, 25104, 31288, 37440?
-z**3 - z**2 + 6254*z + 168
What is the z'th term of 12264, 12671, 13078, 13485, 13892, 14299?
407*z + 11857
What is the h'th term of 18740, 12820, 6890, 944, -5024?
-h**3 + h**2 - 5916*h + 24656
What is the d'th term of 54834868, 54834853, 54834824, 54834775, 54834700?
-d**3 - d**2 - 5*d + 54834875
What is the q'th term of 42608, 85285, 127950, 170603, 213244?
-6*q**2 + 42695*q - 81
What is the t'th term of 512171, 512217, 512315, 512483, 512739?
3*t**3 + 8*t**2 + t + 512159
What is the u'th term of -312317, -624624, -936931, -1249238?
-312307*u - 10
What is the x'th term of 23, 823, 2191, 4127?
284*x**2 - 52*x - 209
What is the p'th term of 196604032, 196604033, 196604034, 196604035?
p + 196604031
What is the c'th term of 362848, 726103, 1089368, 1452649, 1815952, 2179283, 2542648, 2906053?
c**3 - c**2 + 363251*c - 403
What is the o'th term of -965264, -965283, -965302, -965321?
-19*o - 965245
What is the i'th term of 217, 254, 345, 520, 809?
5*i**3 - 3*i**2 + 11*i + 204
What is the u'th term of 7038, 14063, 21054, 27993, 34862, 41643, 48318?
-3*u**3 + u**2 + 7043*u - 3
What is the g'th term of -9048383, -18096755, -27145121, -36193481, -45241835, -54290183, -63338525?
3*g**2 - 9048381*g - 5
What is the t'th term of 816516552, 816516551, 816516550, 816516549?
-t + 816516553
What is the n'th term of -50797, -109939, -169081, -228223, -287365?
-59142*n + 8345
What is the r'th term of 2786, 1940, 1106, 290, -502?
r**3 - 853*r + 3638
What is the h'th term of 180931, 724022, 1629205, 2896480, 4525847, 6517306, 8870857?
181046*h**2 - 47*h - 68
What is the f'th term of -4497, -9116, -13687, -18210, -22685, -27112, -31491?
24*f**2 - 4691*f + 170
What is the a'th term of 1476457, 1476455, 1476453, 1476451, 1476449, 1476447?
-2*a + 1476459
What is the g'th term of -73443, -75564, -77685, -79806?
-2121*g - 71322
What is the m'th term of 14336, 29267, 44220, 59207, 74240, 89331?
2*m**3 - m**2 + 14920*m - 585
What is the g'th term of 323, 343, 367, 395?
2*g**2 + 14*g + 307
What is the p'th term of -274645, -274656, -274679, -274720, -274785, -274880, -275011, -275184?
-p**3 - 4*p - 274640
What is the m'th term of 1306205, 1306096, 1305987, 1305878?
-109*m + 1306314
What is the l'th term of 21507, 27611, 33715?
6104*l + 15403
What is the i'th term of 1487, 4684, 9679, 16472, 25063, 35452?
899*i**2 + 500*i + 88
What is the w'th term of -12162416, -12162417, -12162418?
-w - 12162415
What is the m'th term of 2834, -1430, -8538, -18490?
-1422*m**2 + 2*m + 4254
What is the l'th term of 396, 242, 124, 156, 452, 1126, 2292?
19*l**3 - 96*l**2 + l + 472
What is the k'th term of 3074, 1994, 908, -184?
-3*k**2 - 1071*k + 4148
What is the t'th term of -3104, -4971, -6846, -8729?
-4*t**2 - 1855*t - 1245
What is the x'th term of -9495, -76031, -256701, -608595, -1188803, -2054415, -3262521?
-9515*x**3 + 23*x**2 - 3
What is the o'th term of -12422, -12267, -11978, -11531, -10902, -10067, -9002?
4*o**3 + 43*o**2 - 2*o - 12467
What is the h'th term of 101856, 101614, 101372, 101130, 100888?
-242*h + 102098
What is the q'th term of 519446328, 519446329, 519446330, 519446331, 519446332?
q + 519446327
What is the a'th term of -5883, -6197, -7089, -8847, -11759, -16113, -22197?
-48*a**3 - a**2 + 25*a - 5859
What is the t'th term of 21347, 42129, 62911?
20782*t + 565
What is the g'th term of 1605, 3361, 5105, 6831, 8533, 10205, 11841, 13435?
-g**3 + 1763*g - 157
What is the i'th term of -15986, -57394, -126410, -223034, -347266, -499106?
-13804*i**2 + 4*i - 2186
What is the r'th term of -913, -1891, -3019, -4315, -5797, -7483, -9391?
-3*r**3 - 57*r**2 - 786*r - 67
What is the w'th term of 9973, 19461, 28949, 38437, 47925?
9488*w + 485
What is the v'th term of 10970202, 10970198, 10970192, 10970184, 10970174, 10970162?
-v**2 - v + 10970204
What is the v'th term of -192, -278, -144, 210?
110*v**2 - 416*v + 114
What is the x'th term of -3107, -3190, -3387, -3746, -4315, -5142, -6275, -7762?
-8*x**3 - 9*x**2 - 3090
What is the t'th term of -443620, -443589, -443500, -443323, -443028, -442585, -441964?
5*t**3 - t**2 - t - 443623
What is the x'th term of 256483666, 256483665, 256483664, 256483663, 256483662?
-x + 256483667
What is the t'th term of 117, 237, 313, 297, 141?
-8*t**3 + 26*t**2 + 98*t + 1
What is the x'th term of -658, -3376, -8142, -14944, -23770, -34608?
2*x**3 - 1036*x**2 + 376*x
What is the b'th term of 9081, 9495, 9909?
414*b + 8667
What is the k'th term of -807580, -1615161, -2422732, -3230287, -4037820, -4845325, -5652796?
k**3 - k**2 - 807585*k + 5
What is the n'th term of 311830489, 311830488, 311830487, 311830486, 311830485, 311830484?
-n + 311830490
What is the f'th term of 3727, 7826, 11925, 16024, 20123, 24222?
4099*f - 372
What is the z'th term of -11174, -21095, -31016?
-9921*z - 1253
What is the v'th term of -351, -229, -111, 21, 185?
3*v**3 - 20*v**2 + 161*v - 495
What is the u'th term of -137772, -137722, -137648, -137550, -137428, -137282?
12*u**2 + 14*u - 137798
What is the i'th term of -20954, -83831, -188638, -335381, -524066, -754699, -1027286, -1341833?
-i**3 - 20959*i**2 + 7*i - 1
What is the m'th term of -570918, -570687, -570310, -569793, -569142, -568363, -567462, -566445?
-m**3 + 79*m**2 + m - 570997
What is the q'th term of 731, 2632, 5687, 9884, 15211, 21656?
-2*q**3 + 589*q**2 + 148*q - 4
What is the y'th term of -6212, -5778, -5344, -4910, -4476?
434*y - 6646
What is the u'th term of 6860141, 6860165, 6860187, 6860207, 6860225, 6860241?
-u**2 + 27*u + 6860115
What is the z'th term of 771, 1595, 2415, 3231, 4043?
-2*z**2 + 830*z - 57
What is the y'th term of 2975, 17587, 41939, 76031, 119863, 173435, 236747?
4870*y**2 + 2*y - 1897
What is the v'th term of 19520553, 19520554, 19520555, 19520556?
v + 19520552
What is the b'th term of -1041, -4145, -9315, -16551?
-1033*b**2 - 5*b - 3
What is the i'th term of 7158879, 7158884, 7158889, 7158894?
5*i + 7158874
What is the t'th term of -1391, -11185, -37775, -89561, -174943, -302321?
-1400*t**3 + 2*t**2 + 7
What is the x'th term of 6747, 6635, 6533, 6447, 6383?
x**3 - x**2 - 116*x + 6863
What is the u'th term of -514023, -1029027, -1544031, -2059035, -2574039, -3089043?
-515004*
|
{
"pile_set_name": "DM Mathematics"
}
|
the second derivative of -14*f + 1 + 1/4*f**4 + 12/5*f**3 + 0*f**2 - 3/100*f**5. Factor h(g).
-3*g*(g - 8)*(g + 3)/5
Let x(h) be the first derivative of -8*h**5 - 114*h**4 + 98*h**3 + 34*h**2 - 48*h + 159. Determine g so that x(g) = 0.
-12, -2/5, 1/2
Suppose -4*k + 4 = 0, -12*k + 16*k = f. Suppose -22*x + 2*a = -26*x + 28, 0 = -2*x + f*a - 6. Factor 0 - 6/5*v**4 - 3/5*v**x + 9/5*v**3 + 0*v + 0*v**2.
-3*v**3*(v - 1)*(v + 3)/5
Let d be ((-1400)/(-500))/((-6)/(-40)*14). Factor -1/3*k**2 - 4/3*k + 1/3*k**3 + d.
(k - 2)*(k - 1)*(k + 2)/3
Let o = 224 + -344. Let s be (-4)/o*51 + 6/(-4). Factor -s*d**2 - 4/5*d + 1.
-(d - 1)*(d + 5)/5
Let c(m) = 38*m**4 + 150*m**3 + 834*m**2 + 510*m - 80. Let g(w) = -w**4 + 4*w**3 + w. Let l(a) = -2*c(a) - 44*g(a). Find o such that l(o) = 0.
-10, -4, -1, 1/8
Factor -24*l - 2/3*l**3 + 64/3 + 8*l**2.
-2*(l - 8)*(l - 2)**2/3
Let w(v) = 10*v**2 + 10*v - 118. Let r be w(3). Find m such that -8/3 - 3*m - 1/3*m**r = 0.
-8, -1
Suppose -24*h - 32 = -32*h. Suppose 0 = -3*p + 3*z + 18, 5*p + h*z + 3 = 15. Factor -4*d - 11*d**4 - 13*d**2 + 3*d**2 + 5*d**4 + 4*d**p - 8*d**3.
-2*d*(d + 1)**2*(d + 2)
Let k(y) = 22*y**2 - 12*y - 95. Let d(u) = -31*u**2 + 16*u + 142. Let w(t) = 5*d(t) + 7*k(t). Factor w(a).
-(a - 5)*(a + 9)
Let l(g) = 56*g**2 - 624*g - 2648. Let h(m) = 5*m**2 - 57*m - 240. Let s(i) = -68*h(i) + 6*l(i). Suppose s(w) = 0. What is w?
-3, 36
Let x be (-7)/(-3) - (-2)/3. Find n, given that -85*n**2 - 3*n**4 - 85*n - 23*n**3 - 61*n**3 + 49*n**x - 2*n**4 - 30 = 0.
-3, -2, -1
Let d = 34172 - 102512/3. Solve -d*y**4 + 8/3 + 6*y**3 - 6*y - 4/3*y**2 = 0 for y.
-1, 1/2, 1, 4
Let k be -36 + (3/27 - 477/(-81)). Let c be (-238)/(-765) + (-4)/k. Factor 14/9*m**3 - c*m + 0 - 10/9*m**2.
2*m*(m - 1)*(7*m + 2)/9
Let x(i) be the first derivative of i**5/30 + i**4/3 - 22*i**3/9 + 4*i**2 + 3003. Solve x(m) = 0.
-12, 0, 2
Let s be (-3 - 10/(-2) - 0)/1. Suppose -4 - 1 - s*f - f**4 + 7 + 2*f**3 - 2 + f**2 = 0. Calculate f.
-1, 0, 1, 2
What is a in 2096 - 2*a**4 - 1572*a**2 + 360*a - 21*a**3 - 509*a**3 - 179*a - 173*a = 0?
-262, -2, 1
Let t = -1245 + 1265. Let f(c) be the second derivative of -1/18*c**4 + t*c + 0*c**2 + 0 + 1/3*c**3. Suppose f(i) = 0. Calculate i.
0, 3
Let d be 4/3*132/88. Let m(u) be the second derivative of 2/5*u**d - 1/10*u**4 + 7*u - 1/3*u**3 + 0. Suppose m(s) = 0. Calculate s.
-2, 1/3
Let i(k) be the first derivative of -k**4/8 + 2*k**3 - 9*k**2 + 20*k + 190. Let w(x) be the first derivative of i(x). Factor w(r).
-3*(r - 6)*(r - 2)/2
Let k(q) be the second derivative of q**4/54 - 82*q**3/27 + 104*q**2/3 + 5764*q. Determine i, given that k(i) = 0.
4, 78
Let x be (-9)/(-5) + (-17)/(-85). Factor 13 + 11 + 3*o**2 + 15*o - 2 - x - 8*o**2.
-5*(o - 4)*(o + 1)
Suppose 3*b - 2*j - 14 = 0, -b - 15 = j - 13. Factor -20/19*q**b - 2/19*q**3 - 34/19*q - 16/19.
-2*(q + 1)**2*(q + 8)/19
Let a(o) be the second derivative of 21*o**5/80 - 465*o**4/16 + 321*o**3/4 + 195*o**2 - 7532*o + 1. Suppose a(z) = 0. Calculate z.
-4/7, 2, 65
Let j(p) be the second derivative of -p**4/30 + 239*p**3/15 - 327*p. Factor j(g).
-2*g*(g - 239)/5
Determine w, given that 2/17*w**2 + 264/17 + 266/17*w = 0.
-132, -1
Let m(g) = -14*g**3 - 1240*g**2 - 5*g + 1202. Let y(i) = -3*i**3 - 247*i**2 - i + 239. Let p(c) = -4*m(c) + 19*y(c). Solve p(n) = 0.
-1, 1, 267
Let a(r) be the second derivative of r**4/42 + 17*r**3/7 - 220*r**2/7 - 136*r. Solve a(l) = 0 for l.
-55, 4
Let k be (-8706)/21 - (-18)/(-42). Let q = k - -418. Factor 0 - 6/5*s**2 + 2/5*s**4 + 0*s**q + 4/5*s.
2*s*(s - 1)**2*(s + 2)/5
Let i(x) = 2*x**2 + x + 4. Let g be i(-3). Suppose g + 15 = 17*z. Factor 2/3*k**z + 2/3 - 4/3*k.
2*(k - 1)**2/3
Let h = -13139 - -65724/5. Factor 1/5*q**3 + 3 + 13/5*q**2 - h*q.
(q - 1)**2*(q + 15)/5
Suppose -26*h + 3224 = 5*h. Let -332*j**2 - 3600*j + 92*j**2 - h - 4*j**3 + 104 = 0. What is j?
-30, 0
Let n(s) be the second derivative of s**4/42 - 4*s**3 + 252*s**2 + 1604*s. Suppose n(f) = 0. What is f?
42
Suppose -7 = 29*x - 65. Suppose x*y + 20 = 28. Factor -36/7*u**2 + y*u**3 + 0 + 8/7*u.
4*u*(u - 1)*(7*u - 2)/7
Let d(s) = -5*s**2 + s + 15. Let m = 59 + -62. Suppose -69 - 11 = 5*p. Let u(q) = 26*q**2 - 6*q - 76. Let t(r) = m*u(r) + p*d(r). Factor t(v).
2*(v - 2)*(v + 3)
Suppose -d - 3*h + 2*h + 11 = 0, -d + 4*h = 19. Let i(f) be the second derivative of -1/4*f**4 + 0*f**2 + 0 - 2/3*f**3 + 1/20*f**d - 5*f. Factor i(g).
g*(g - 4)*(g + 1)
Let l = -18 + 24. Let n(j) = j**3 - 8*j**2 + 12*j + 12. Let q be n(l). Determine r so that 4*r**3 - 738*r**5 + 766*r**5 - q*r**3 - 20*r**4 = 0.
-2/7, 0, 1
Suppose 0 = -4*l + 8, 2*i + 3*l + 6 = 24. Let n be ((-2)/i)/((8/8)/(-6)). Solve -12 - 117*d + 193*d**n - 52*d**3 + 4*d**4 + 48 - 39*d = 0 for d.
1/2, 6
Let v be (18975/(-15525))/((-22)/12). Let 10/3*o**4 - 64/3*o - v*o**5 + 0 + 4*o**3 - 64/3*o**2 = 0. What is o?
-2, -1, 0, 4
Let c(x) = -x**2 + 2*x + 83. Let z be c(9). Let q be z/(-15)*-3 - 2. Solve -4/5*d**q - d - 1/5 = 0 for d.
-1, -1/4
Let y(z) be the first derivative of z**6/60 - 5*z**4/24 + z**2 + z - 37. Let r(k) be the first derivative of y(k). Find l, given that r(l) = 0.
-2, -1, 1, 2
Let y be 54 + (-1776)/144 + -41. Suppose y*u**3 + 112*u - 18*u**2 + 392/3 = 0. Calculate u.
-1, 14
Let q(w) be the third derivative of -28*w**2 + 1/6*w**4 + 1/30*w**6 + 0*w + 0*w**3 + 0 - 2/15*w**5. Solve q(i) = 0.
0, 1
Let x(c) be the third derivative of -79*c**6/180 + 44*c**5/5 - 731*c**4/36 + 2*c**3 + 1022*c**2. What is y in x(y) = 0?
2/79, 1, 9
Let w(t) be the second derivative of -11*t + 0*t**3 + 0 + 0*t**2 + 1/20*t**6 + 0*t**5 - 1/8*t**4. Factor w(d).
3*d**2*(d - 1)*(d + 1)/2
Suppose -4*r - k + 13 = -22, 4*r - 5*k - 65 = 0. Suppose -2*t - r = -22. Let 16*s - t*s**3 - 2*s**4 - 20*s + 2*s**2 + 10*s = 0. What is s?
-3, -1, 0, 1
Let r(k) = 3*k**4 + 423*k**3 + 2859*k**2 + 6057*k + 3602. Let u(f) = -f**4 - 141*f**3 - 953*f**2 - 2019*f - 1200. Let a(i) = -3*r(i) - 8*u(i). Factor a(h).
-(h + 1)*(h + 3)**2*(h + 134)
Let p(m) be the second derivative of -25*m**7/252 + m**6/6 - 3*m**5/40 + m - 314. What is i in p(i) = 0?
0, 3/5
Let a(x) = -75*x - 322. Let c be a(6). Let l = c - -5406/7. Let 0*w + 4/7*w**4 + 0 - l*w**5 - 4/7*w**2 + 2/7*w**3 = 0. Calculate w.
-1, 0, 1, 2
Suppose 4*r = 5*w - 758 + 159, -597 = -5*w + 2*r. Suppose -2*c + 3*c = 4*t + 5, -5*c = -2*t - 25. Let -c*h**4 + w + 120 + 10*h**2 + 5*h**3 - 239 = 0. What is h?
-1, 0, 2
Let z(x) = x**3 - 2*x**2 - 19*x + 11. Let r be z(-4). Let c(a) = a**2 - 40*a + 23. Let f(q) = 2*q**2 - 82*q + 44. Let n(u) = r*c(u) + 4*f(u). Factor n(g).
-(g - 31)*(g - 1)
Let s(g) = 2*g**2 - 76*g - 2406. Let n(b) = -3*b + 3. Let k(h) = -4*n(h) - s(h). What is f in k(f) = 0?
-19, 63
Let n(h) be the first derivative of -4*h**3/9 - 8065*h**2/6 - 672*h - 9763. Factor n(w).
-(w + 2016)*(4*w + 1)/3
Suppose 4*a = -4*i + 8, 10 - 2 = 3*i + 4*a. Suppose 2*s + 6 = i, -2*b - 3*s - s - 12 = 0. Find h such that 1/7*h**3 - 2/7*h + b - 1/7*h**2 = 0.
-1, 0, 2
Factor -152/15 + 2/15*u**2 + 24/5*u.
2*(u - 2)*(u + 38)/15
Let p(j) be the third derivative of -9*j - j**2 + 1/12*j**4 + 0 + 1/90*j**6 + 1/210*j**7 + 0*j**3 - 13/180*j**5. Factor p(y).
y*(y - 1)*(y + 3)*(3*y - 2)/3
Factor -736/5*y**2 + 33856/5*y + 4/5*y**3 + 0.
4*y*(y - 92)**2/5
Let m = -411 - -422. Let u(z) = 5*z**3 - 53*z**2 - 24*z + 94. Let v(p) = 3*p**3 - 27*p**2 - 12*p + 48. Let r(s) = m*v(s) - 6*u(s). Factor r(y).
3*(y - 1)*(y + 2)*(y + 6)
Let t(v) be the third derivative of -6 + 11*v**2 + 0*v + 1/15*v**5 + 2/3*v**4 + 8/3*v**3. Suppose t(r) = 0. Calculate r.
-2
Let b(o) = -39*o**3 - o**2 + 2690*o + 8084. Let j be b(-3). Factor 32/9 - 368/3*c + j*c**2.
2*(69*c - 4)**2/9
Let w(o) be the third derivative of 0*o + 0*o**5 + 0*o**3 - 1/196*o**8 - o**2 + 1/210*o**6 - 4/735*o**7 + 0*o**4 + 43. Factor w(m).
-4*m**3*(m + 1)*(3*m - 1)/7
Let y(b) be the first derivative of b**3/24 + 471*b**2/16 - 225. Factor y(g).
g*(g + 471)/8
Suppose v + 6 = 4*o, 8*v - 5*o + 6 = 6*v. Let d(c) be the third derivative of -3/56*c**4 - 15*c**v + 0 + 0*c + 1/7*c**3 + 1/140*c**5. Solve d(p) = 0 for p.
1, 2
Let z = -2605943/4 - -651489. Factor -1/4*v**3 + 0*v + z*v**2 + 0.
-v**2*(v - 13)/4
Let t(i) be the third derivative of -i**6/40 - 13*i**5/4 - 247*i**4/8 - 183*i**3/2 + 872*i**2 + 3*i. Factor t(x).
-3*(x + 1)*
|
{
"pile_set_name": "DM Mathematics"
}
|
-2*u + j = u + 5*h. What is the remainder when u is divided by (-1)/(-1*(-2)/(-24))?
11
Suppose -3*t - h + 74 = 0, -h = 2*h - 6. Calculate the remainder when 70 is divided by t.
22
Let i(d) = d**2 - 5*d - 6. Let m(l) = -4*l - 5. Let z(n) = 3*i(n) - 4*m(n). Let j be 7/4 + 1/4. What is the remainder when 31 is divided by z(j)?
15
Let o(i) = i + 16. What is the remainder when o(8) is divided by 14?
10
Let f(l) = -l**2 + 24*l - 2. What is the remainder when f(12) is divided by 29?
26
Let l(q) = q**2 - 5*q + 3. Let x(a) = a - 12. Calculate the remainder when x(20) is divided by l(5).
2
What is the remainder when (4 - 1 - 49)/(-2) is divided by (-1 - 0 - 0) + 13?
11
Let q be (-15)/10 + (-342)/(-4). Suppose -4*f - 4*t = -q, 0*t + 96 = 4*f + t. What is the remainder when 73 is divided by f?
23
Suppose -3*a + 3 + 3 = 0. Suppose 0 = a*d + 3*z - 60, 5*d + 4*z = -z + 145. What is the remainder when 73 is divided by 2/(-9) - (-681)/d?
23
Let q(f) = -16*f + 23. What is the remainder when q(-3) is divided by (1*18/1)/1?
17
Calculate the remainder when (9/3)/((-3)/(-53)) is divided by 28.
25
Let t be -2*(0 + -1)*1. Let q(a) = -a + 2. Let u be q(-7). Suppose t*n - u = n. Calculate the remainder when 17 is divided by n.
8
Suppose 2*m - 5*m + 57 = 0. Suppose -35 = -0*z - 5*z. What is the remainder when m is divided by z?
5
Suppose 0 = -4*f + 3*f. Suppose 3*a + k - 4*k = 24, -3*k - 9 = f. Calculate the remainder when 8 is divided by a.
3
Let v(u) = -u**2 - 6*u + 2. Let o be v(-6). Suppose 0*g = o*g - 26. Suppose 5 = -t + 2*t. What is the remainder when g is divided by t?
3
Suppose 4*m - 2 = 2*d - 26, -5*m = 3*d - 80. Let c = -15 + d. Calculate the remainder when 19 is divided by c.
4
What is the remainder when ((-22)/(-4))/(5/10) is divided by 6?
5
Suppose -5*o - 3*u = 208, -3*o + 4*u - 104 = -o. Let n = -23 - o. Calculate the remainder when 40 is divided by n.
19
Suppose 3*b - 14 = -5*g - 2, 0 = b + 1. Let d(w) = -w**3 - 5*w**2 - 11*w - 12. Calculate the remainder when g is divided by d(-3).
0
Let r = -3 - -4. Let a(p) = -8*p - 8. Let m(v) = 1. Let c(f) = r*a(f) + 8*m(f). What is the remainder when c(-4) is divided by 17?
15
Suppose 45 = b + 11. What is the remainder when 67 is divided by b?
33
Suppose -4*d = -d - 45. Let u be -10*(42/d - 2). Let r = u + 18. Calculate the remainder when 17 is divided by r.
7
Let b(k) = 2*k**2 + 3*k + 2. Let s be b(-4). Suppose -s = -3*m + i, m - 5*i = -2 - 0. What is the remainder when 14 is divided by m?
6
Suppose 0 = -4*t + 36 + 4. Calculate the remainder when t is divided by 5.
0
Suppose u - 15 = 2*n, u - 10 = 4*n + 1. Calculate the remainder when 35 is divided by u.
16
Let u(r) = -r**3 + 4*r**2 + 12*r - 4. What is the remainder when u(5) is divided by 11?
9
Let l = 76 - 140. Let a = -14 - l. What is the remainder when a is divided by 17?
16
Let s = -5 + 21. Calculate the remainder when 28 is divided by s.
12
Suppose 4*d - d = -21. Let t = d - -8. Calculate the remainder when t is divided by 1.
0
Calculate the remainder when 54 is divided by ((-108)/(-20) + 3)/(3/10).
26
Let v = -8 + 29. Calculate the remainder when 81 is divided by v.
18
Suppose u - 32 = -r, -3*u - 176 = -8*u + 3*r. Let h(f) = f**2 + 3*f - 16. What is the remainder when u is divided by h(-7)?
10
Suppose 4*o = 5*j - 99, 4*o + 12 + 18 = 2*j. Calculate the remainder when 54 is divided by j.
8
Let c(h) = -h**2 + 8. Suppose -5*n - 10 = -2*t - 2*t, 4*n + 4*t = 28. Suppose 0*b = -n*b. Calculate the remainder when 22 is divided by c(b).
6
Let r be (-33)/12 - 4/16. Let y be 39/(-4) - r/(-12). Calculate the remainder when 5/y - (-57)/2 is divided by 15.
13
Suppose l + 4*r - 64 = 0, r = -2*l - 0*r + 100. Calculate the remainder when l is divided by 25.
23
Let p(a) = -2*a + 2. Calculate the remainder when 78 is divided by p(-9).
18
Let p = 5 - 1. Let j(m) = m**3 + 6*m**2 - m - 8. Let f be j(-6). Let o(h) = 2*h**2 - 2*h - 2. Calculate the remainder when o(f) is divided by p.
2
Let d(y) = y**2 + 9*y. Calculate the remainder when 48 is divided by d(-10).
8
Let s(u) be the first derivative of u**4/4 - u**3 - 2*u**2 - 2*u + 1. Calculate the remainder when s(5) is divided by 15.
13
Let t = -2 + 56. Calculate the remainder when t is divided by ((-10)/(-4) - -1)*4.
12
What is the remainder when (-275)/(-2) + 1 - (-11)/22 is divided by 28?
27
Let j(v) = v - 3. Let i be j(3). Suppose -u + 46 = -4*n, i = 4*u - 2*u + 3*n - 70. What is the remainder when u is divided by 13?
12
Suppose -71 + 311 = 5*u. What is the remainder when u is divided by 25?
23
Let c(m) be the second derivative of m**3/3 - m**2 + 3*m. Calculate the remainder when 15 is divided by c(4).
3
Suppose -32 = -2*c - 5*d, 4*c - d + 36 = 122. Let m = c - 2. Suppose -62*y + 10 = -61*y. What is the remainder when m is divided by y?
9
Let i = 0 + 2. Suppose 20 = -5*v, i*q - v - 4 = 6. What is the remainder when q is divided by 2/(-5) + (-48)/(-20)?
1
Let k be 2*4*2/2. Let w = 26 - 15. Suppose l - w = k. What is the remainder when 56 is divided by l?
18
Suppose -3*a = -8*a + 20. Suppose a*v - 176 = -4*d, -2*d = -3*v - 113 + 30. Suppose -4*x + 30 = -2*x. What is the remainder when d is divided by x?
13
Suppose 5*w - 5*g - 165 = 0, -2*w + 2*g + 2*g = -72. What is the remainder when 178 is divided by w?
28
Let r = -38 + 126. Suppose 2*i - y - r = -i, y + 59 = 2*i. Suppose -3 - 7 = -c. What is the remainder when i is divided by c?
9
Let u(r) = r**2 + 9*r - 7. Let d be u(-7). Let t = d + 35. Suppose 4*s + 2*h - 166 = 0, -112 = -6*s + 3*s + h. Calculate the remainder when s is divided by t.
11
Suppose 4*u = -2*m + 196, 4*u + 3*m - 67 = 125. Let o = -33 + u. Let f(c) = c**3 - 20*c**2 - 20*c - 11. What is the remainder when o is divided by f(21)?
8
Let y be 745/(-20) + (-1)/(-4). Let v = -20 - y. Calculate the remainder when v is divided by 9.
8
Suppose -3*q = -s - 8*q + 38, -3*s + q + 50 = 0. Let t(n) = -7*n + 4. Let r be t(4). Let j = 29 - r. Calculate the remainder when j is divided by s.
17
Suppose -4*y = -4*g + 4, 4 = 4*g + 3*y - 0. Let c(z) be the third derivative of 11*z**4/12 - z**3/6 + z**2. What is the remainder when c(g) is divided by 11?
10
Suppose 4*y = 2 + 70. What is the remainder when 43 is divided by y - 1 - (-8)/(-4)?
13
Suppose 5*m = 2*s - 15, -s - 2*m + 1 = 2*m. Calculate the remainder when s is divided by 3.
2
Let x(a) = a**3 + 7*a**2 + 5*a + 6. Calculate the remainder when (-90)/(-4) - 3/(-6) is divided by x(-6).
11
Suppose 7*b - 27 = 4*b. Let l be -1*(1/(-1) + 12). Let k = l + 17. Calculate the remainder when b is divided by k.
3
Let v(o) = -10*o + 1. Let t be v(-4). Let f = t + -22. What is the remainder when f is divided by 7?
5
Let a = 43 - -1. Let t = a + -24. Calculate the remainder when t is divided by 7.
6
Let o be 3/((-3)/(-2)) - 5. Suppose -3*u = -3*j + 79 + 50, -3*j + 2*u = -125. What is the remainder when j + o/(-2 - 1) is divided by 14?
12
Let q(v) = -v**3 + v**2 + v + 10. Suppose g + 12*g = 377. What is the remainder when g is divided by q(0)?
9
Let b = 7 + -7. Suppose 2*t - 4*t + 2 = b. What is the remainder when (-2)/3 + 20/12 is divided by t?
0
Suppose -3*p - 5*d + 29 = -2*p, -2*p + 30 = 3*d. Let q be (-987)/(-12) + (-2)/8. Suppose -3*a = -q + 34. Calculate the remainder when a is divided by p.
7
Let p = -184 - -191. Calculate the remainder when 7 is divided by p.
0
Let g = -77 - -83. Calculate the remainder when g is divided by 4.
2
Calculate the remainder when ((-47)/3)/((-6)/18) is divided by 12.
11
Let p = 10 - 5. Suppose 0 = p*s + x + 4*x - 190, -4*s = 5*x - 156. Suppose 5*i - 20 = 0, 3*i = -5*k + 3*k + 36. Calculate the remainder when s is divided by k.
10
Suppose 34 - 10 = 4*o. Let d be (2 - 1/1)*3. Suppose v - 5*g = 0, v - 1 = d*g + 3. Calculate the remainder when v is divided by o.
4
Let c be 58 + 1/((-3)/6). Let v = -38 + c. Let j = -6 - -58. Calculate the remainder when j is divided by v.
16
Let f be (-1)/(2/10)*-1. Suppose -a - 4*l - 14 = 6, -f*a - 16 = -l. Calculate the remainder when (15 - 1) + a/(-2) is divided by 6.
4
Let k(o) = -o**2 - 7*o - 7. Let c be k(-5). Calculate the remainder when 2/c*123/2 is divided by 14.
13
Let g(l) = l + 5. Let x be g(-4). Let b(d) = 3*d + 3*d**2 - x + 1 - 1. Calculate the remainder when b(2) is divided by 9.
8
Let x = 48 + -26. Suppose 40 =
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest integer?
60
What is the third root of 400 to the nearest integer?
7
What is 3789 to the power of 1/3, to the nearest integer?
16
What is 10904 to the power of 1/2, to the nearest integer?
104
What is the square root of 90010 to the nearest integer?
300
What is 5315 to the power of 1/2, to the nearest integer?
73
What is the fifth root of 44011 to the nearest integer?
8
What is 8982 to the power of 1/3, to the nearest integer?
21
What is the square root of 8339 to the nearest integer?
91
What is the cube root of 2393 to the nearest integer?
13
What is the square root of 2175 to the nearest integer?
47
What is 75945 to the power of 1/2, to the nearest integer?
276
What is the third root of 14072 to the nearest integer?
24
What is the square root of 14622 to the nearest integer?
121
What is 804 to the power of 1/3, to the nearest integer?
9
What is the sixth root of 97148 to the nearest integer?
7
What is the cube root of 23402 to the nearest integer?
29
What is 5155 to the power of 1/7, to the nearest integer?
3
What is the third root of 9932 to the nearest integer?
21
What is 620 to the power of 1/2, to the nearest integer?
25
What is 1805 to the power of 1/2, to the nearest integer?
42
What is the square root of 11176 to the nearest integer?
106
What is 714 to the power of 1/2, to the nearest integer?
27
What is 3299 to the power of 1/3, to the nearest integer?
15
What is the square root of 1802 to the nearest integer?
42
What is the cube root of 40989 to the nearest integer?
34
What is the ninth root of 80377 to the nearest integer?
4
What is 2196 to the power of 1/2, to the nearest integer?
47
What is 13408 to the power of 1/3, to the nearest integer?
24
What is 76078 to the power of 1/2, to the nearest integer?
276
What is 10505 to the power of 1/3, to the nearest integer?
22
What is the eighth root of 3138 to the nearest integer?
3
What is 52668 to the power of 1/2, to the nearest integer?
229
What is 6662 to the power of 1/6, to the nearest integer?
4
What is 7111 to the power of 1/3, to the nearest integer?
19
What is the seventh root of 26459 to the nearest integer?
4
What is 7782 to the power of 1/9, to the nearest integer?
3
What is the third root of 4428 to the nearest integer?
16
What is 40601 to the power of 1/2, to the nearest integer?
201
What is 4259 to the power of 1/2, to the nearest integer?
65
What is 404 to the power of 1/4, to the nearest integer?
4
What is the third root of 4036 to the nearest integer?
16
What is the fifth root of 3643 to the nearest integer?
5
What is the cube root of 4940 to the nearest integer?
17
What is the tenth root of 34829 to the nearest integer?
3
What is the square root of 67398 to the nearest integer?
260
What is 8422 to the power of 1/2, to the nearest integer?
92
What is 4927 to the power of 1/3, to the nearest integer?
17
What is the fourth root of 50746 to the nearest integer?
15
What is the fourth root of 23576 to the nearest integer?
12
What is the eighth root of 11095 to the nearest integer?
3
What is 811 to the power of 1/2, to the nearest integer?
28
What is the eighth root of 3400 to the nearest integer?
3
What is the third root of 95 to the nearest integer?
5
What is 18721 to the power of 1/2, to the nearest integer?
137
What is 5293 to the power of 1/2, to the nearest integer?
73
What is the cube root of 18154 to the nearest integer?
26
What is 54481 to the power of 1/6, to the nearest integer?
6
What is 7676 to the power of 1/2, to the nearest integer?
88
What is 130 to the power of 1/2, to the nearest integer?
11
What is 574 to the power of 1/5, to the nearest integer?
4
What is 1465 to the power of 1/10, to the nearest integer?
2
What is the cube root of 3394 to the nearest integer?
15
What is the square root of 552 to the nearest integer?
23
What is the third root of 14034 to the nearest integer?
24
What is the square root of 53006 to the nearest integer?
230
What is the square root of 2032 to the nearest integer?
45
What is 32407 to the power of 1/2, to the nearest integer?
180
What is 1552 to the power of 1/5, to the nearest integer?
4
What is the cube root of 7444 to the nearest integer?
20
What is 3518 to the power of 1/10, to the nearest integer?
2
What is 3050 to the power of 1/9, to the nearest integer?
2
What is 3687 to the power of 1/8, to the nearest integer?
3
What is 19434 to the power of 1/2, to the nearest integer?
139
What is the tenth root of 3186 to the nearest integer?
2
What is 105344 to the power of 1/3, to the nearest integer?
47
What is the third root of 31874 to the nearest integer?
32
What is 339 to the power of 1/7, to the nearest integer?
2
What is the square root of 7719 to the nearest integer?
88
What is the square root of 287 to the nearest integer?
17
What is 34806 to the power of 1/3, to the nearest integer?
33
What is the seventh root of 8187 to the nearest integer?
4
What is 105317 to the power of 1/10, to the nearest integer?
3
What is 2725 to the power of 1/3, to the nearest integer?
14
What is the square root of 7493 to the nearest integer?
87
What is 6108 to the power of 1/8, to the nearest integer?
3
What is 853 to the power of 1/6, to the nearest integer?
3
What is 19824 to the power of 1/3, to the nearest integer?
27
What is the sixth root of 7998 to the nearest integer?
4
What is the third root of 135 to the nearest integer?
5
What is the cube root of 4692 to the nearest integer?
17
What is the eighth root of 12695 to the nearest integer?
3
What is the third root of 1712 to the nearest integer?
12
What is the square root of 2280 to the nearest integer?
48
What is the third root of 1724 to the nearest integer?
12
What is 34950 to the power of 1/6, to the nearest integer?
6
What is 2287 to the power of 1/3, to the nearest integer?
13
What is 33630 to the power of 1/2, to the nearest integer?
183
What is the cube root of 11743 to the nearest integer?
23
What is 8404 to the power of 1/4, to the nearest integer?
10
What is 51041 to the power of 1/9, to the nearest integer?
3
What is the square root of 1573 to the nearest integer?
40
What is 30067 to the power of 1/7, to the nearest integer?
4
What is the square root of 3678 to the nearest integer?
61
What is 949 to the power of 1/2, to the nearest integer?
31
What is the sixth root of 21983 to the nearest integer?
5
What is the ninth root of 12747 to the nearest integer?
3
What is the square root of 4502 to the nearest integer?
67
What is the eighth root of 17043 to the nearest integer?
3
What is the cube root of 2348 to the nearest integer?
13
What is the third root of 29891 to the nearest integer?
31
What is the third root of 11180 to the nearest integer?
22
What is 80588 to the power of 1/2, to the nearest integer?
284
What is 5818 to the power of 1/3, to the nearest integer?
18
What is the fourth root of 58500 to the nearest integer?
16
What is 9513 to the power of 1/5, to the nearest integer?
6
What is 12394 to the power of 1/2, to the nearest integer?
111
What is the square root of 34369 to the nearest integer?
185
What is the fifth root of 2054 to the nearest integer?
5
What is 28965 to the power of 1/9, to the nearest integer?
3
What is 411 to the power of 1/6, to the nearest integer?
3
What is the seventh root of 26948 to the nearest integer?
4
What is 40287 to the power of 1/10, to the nearest integer?
3
What is the square root of 77994 to the nearest integer?
279
What is 17882 to the power of 1/6, to the nearest integer?
5
What is the square root of 8425 to the nearest integer?
92
What is 1419 to the power of 1/9, to the nearest integer?
2
What is 8165 to the power of 1/2, to the nearest integer?
90
What is 141641 to the power of 1/2, to the nearest integer?
376
What is 15658 to the power of 1/2, to the nearest integer?
125
What is 13338 to the power of 1/3, to the nearest integer?
24
What is 3247 to the power of 1/10, to the nearest integer?
2
What is the square root of 306 to the nearest integer?
17
What is the square root of 96703 to the nearest integer?
311
What is 52121 to the power of 1/3, to the nearest integer?
37
What is 2503 to the power of 1/7, to the nearest integer?
3
What is 64969 to the power of 1/4, to the nearest integer?
16
What is the square root
|
{
"pile_set_name": "DM Mathematics"
}
|
en 19043 is divided by 4760.
3
What is the remainder when 224927 is divided by 112425?
77
What is the remainder when 2542461 is divided by 847485?
6
Calculate the remainder when 7491 is divided by 1424.
371
Calculate the remainder when 6739 is divided by 419.
35
What is the remainder when 8189 is divided by 91?
90
Calculate the remainder when 102581 is divided by 6411.
5
What is the remainder when 2902 is divided by 267?
232
Calculate the remainder when 78465 is divided by 945.
30
What is the remainder when 259614 is divided by 224?
222
Calculate the remainder when 128588 is divided by 333.
50
What is the remainder when 5910 is divided by 957?
168
Calculate the remainder when 9670 is divided by 57.
37
What is the remainder when 1834 is divided by 1163?
671
What is the remainder when 89247 is divided by 983?
777
What is the remainder when 4195 is divided by 2095?
5
Calculate the remainder when 117137 is divided by 330.
317
Calculate the remainder when 5405 is divided by 47.
0
Calculate the remainder when 75485 is divided by 8386.
11
What is the remainder when 45258 is divided by 368?
362
Calculate the remainder when 30044 is divided by 30022.
22
What is the remainder when 81314 is divided by 40636?
42
Calculate the remainder when 65116 is divided by 592.
588
What is the remainder when 1742 is divided by 760?
222
Calculate the remainder when 1580 is divided by 240.
140
Calculate the remainder when 27831 is divided by 47.
7
What is the remainder when 17815 is divided by 263?
194
Calculate the remainder when 17222 is divided by 464.
54
What is the remainder when 6452 is divided by 167?
106
What is the remainder when 8097 is divided by 368?
1
What is the remainder when 2722 is divided by 663?
70
Calculate the remainder when 44374 is divided by 23.
7
Calculate the remainder when 13779 is divided by 128.
83
What is the remainder when 14443 is divided by 3539?
287
What is the remainder when 302 is divided by 207?
95
What is the remainder when 146150 is divided by 1008?
998
What is the remainder when 2265274 is divided by 676?
674
What is the remainder when 14972 is divided by 34?
12
Calculate the remainder when 66665 is divided by 1422.
1253
Calculate the remainder when 64436 is divided by 64422.
14
Calculate the remainder when 154415 is divided by 297.
272
What is the remainder when 112088 is divided by 14011?
0
What is the remainder when 1926 is divided by 378?
36
What is the remainder when 51387 is divided by 298?
131
Calculate the remainder when 7640 is divided by 255.
245
Calculate the remainder when 2657 is divided by 212.
113
Calculate the remainder when 11150 is divided by 192.
14
Calculate the remainder when 1681 is divided by 449.
334
What is the remainder when 178236 is divided by 137?
136
What is the remainder when 7944 is divided by 53?
47
Calculate the remainder when 7461 is divided by 6828.
633
What is the remainder when 10530 is divided by 99?
36
Calculate the remainder when 16709 is divided by 8347.
15
Calculate the remainder when 116639 is divided by 54.
53
What is the remainder when 2666 is divided by 1684?
982
Calculate the remainder when 29322 is divided by 689.
384
Calculate the remainder when 7673 is divided by 1095.
8
Calculate the remainder when 17096 is divided by 172.
68
Calculate the remainder when 336393 is divided by 74.
63
What is the remainder when 118798 is divided by 200?
198
Calculate the remainder when 37439 is divided by 2878.
25
What is the remainder when 76341 is divided by 367?
5
What is the remainder when 46254 is divided by 46248?
6
What is the remainder when 1851 is divided by 611?
18
Calculate the remainder when 255475 is divided by 919.
912
Calculate the remainder when 5586 is divided by 310.
6
What is the remainder when 2994 is divided by 745?
14
Calculate the remainder when 6573 is divided by 29.
19
What is the remainder when 72862 is divided by 98?
48
Calculate the remainder when 5161 is divided by 172.
1
Calculate the remainder when 1088 is divided by 182.
178
Calculate the remainder when 1266 is divided by 254.
250
What is the remainder when 30513 is divided by 6?
3
What is the remainder when 2570 is divided by 843?
41
What is the remainder when 562333 is divided by 15?
13
What is the remainder when 3154 is divided by 280?
74
What is the remainder when 2756 is divided by 28?
12
Calculate the remainder when 206503 is divided by 52.
11
Calculate the remainder when 28467 is divided by 73.
70
Calculate the remainder when 2158 is divided by 141.
43
What is the remainder when 179116 is divided by 963?
961
What is the remainder when 50399 is divided by 319?
316
What is the remainder when 195691 is divided by 2477?
8
What is the remainder when 16595 is divided by 721?
12
Calculate the remainder when 2615 is divided by 405.
185
What is the remainder when 17139 is divided by 126?
3
What is the remainder when 76311 is divided by 38155?
1
Calculate the remainder when 14675 is divided by 388.
319
What is the remainder when 957209 is divided by 66?
11
Calculate the remainder when 1274 is divided by 59.
35
What is the remainder when 83252 is divided by 3082?
38
Calculate the remainder when 5272 is divided by 236.
80
What is the remainder when 17988 is divided by 43?
14
What is the remainder when 3409174 is divided by 55?
54
Calculate the remainder when 1859 is divided by 1315.
544
What is the remainder when 20783 is divided by 267?
224
What is the remainder when 26462 is divided by 22?
18
What is the remainder when 2827 is divided by 27?
19
What is the remainder when 384955 is divided by 9?
7
Calculate the remainder when 12941 is divided by 34.
21
Calculate the remainder when 2245 is divided by 838.
569
Calculate the remainder when 1363 is divided by 124.
123
What is the remainder when 308304 is divided by 102763?
15
Calculate the remainder when 28026 is divided by 39.
24
Calculate the remainder when 12321 is divided by 5972.
377
What is the remainder when 20239 is divided by 1554?
37
Calculate the remainder when 54408 is divided by 27200.
8
Calculate the remainder when 209 is divided by 11.
0
What is the remainder when 6261 is divided by 1510?
221
What is the remainder when 768925 is divided by 256302?
19
Calculate the remainder when 191556 is divided by 142.
140
Calculate the remainder when 5793 is divided by 50.
43
Calculate the remainder when 3427 is divided by 144.
115
What is the remainder when 337349 is divided by 650?
649
What is the remainder when 6523 is divided by 46?
37
Calculate the remainder when 8039 is divided by 3034.
1971
Calculate the remainder when 7549 is divided by 578.
35
What is the remainder when 2659528 is divided by 265?
253
Calculate the remainder when 458624 is divided by 78.
62
Calculate the remainder when 10708 is divided by 1186.
34
What is the remainder when 82908 is divided by 107?
90
What is the remainder when 1986 is divided by 67?
43
What is the remainder when 210344 is divided by 46?
32
Calculate the remainder when 29310 is divided by 21.
15
What is the remainder when 25618 is divided by 2134?
10
What is the remainder when 3099 is divided by 157?
116
What is the remainder when 799042 is divided by 99880?
2
Calculate the remainder when 128118 is divided by 21.
18
What is the remainder when 457341 is divided by 969?
942
What is the remainder when 617399 is divided by 245?
244
Calculate the remainder when 3851 is divided by 44.
23
Calculate the remainder when 39196 is divided by 13051.
43
Calculate the remainder when 5072 is divided by 360.
32
Calculate the remainder when 209386 is divided by 52.
34
What is the remainder when 302726 is divided by 479?
477
What is the remainder when 13174 is divided by 6573?
28
Calculate the remainder when 9812 is divided by 2396.
228
Calculate the remainder when 4070711 is divided by 452.
451
What is the remainder when 26470 is divided by 551?
22
Calculate the remainder when 5500 is divided by 64.
60
Calculate the remainder when 6150 is divided by 22.
12
Calculate the remainder when 32765 is divided by 486.
203
Calculate the remainder when 752 is divided by 689.
63
What is the remainder when 115053 is divided by 5478?
15
What is the remainder when 683682 is divided by 122?
116
What is the remainder when 26687 is divided by 24?
23
What is the re
|
{
"pile_set_name": "DM Mathematics"
}
|
v: 1, x: 1, l: 2}?
1/7
Two letters picked without replacement from zrzrmrmrrmmrrzrz. Give prob of picking 1 z and 1 m.
2/15
Calculate prob of picking 1 a and 1 k when two letters picked without replacement from ofgoafggfgffffkfgf.
1/153
Two letters picked without replacement from {p: 2, m: 1, c: 3, s: 5, l: 5}. What is prob of picking 1 m and 1 p?
1/60
Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {u: 1, y: 1, z: 2, b: 3, p: 3, n: 3}.
3/26
Four letters picked without replacement from {v: 4, l: 3, o: 1, y: 4, u: 1, m: 1}. What is prob of picking 1 v, 1 u, 1 m, and 1 y?
16/1001
What is prob of picking 2 p and 1 g when three letters picked without replacement from {x: 1, u: 1, p: 2, t: 2, w: 1, g: 1}?
1/56
Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {x: 2, i: 5}.
10/21
Two letters picked without replacement from iilwiiigiiwwiiliigii. What is prob of picking 2 l?
1/190
What is prob of picking 1 p, 1 a, and 2 d when four letters picked without replacement from dddddadpd?
1/6
Calculate prob of picking 1 y, 1 p, and 1 e when three letters picked without replacement from {e: 1, p: 1, g: 1, y: 1, z: 2, o: 1}.
1/35
What is prob of picking 1 i, 2 s, and 1 b when four letters picked without replacement from ssbssfffisfsfiss?
2/65
Two letters picked without replacement from sossssoosssssssssoso. Give prob of picking 1 o and 1 s.
15/38
What is prob of picking 2 k when two letters picked without replacement from bkmbkm?
1/15
Calculate prob of picking 1 a and 3 c when four letters picked without replacement from aaaaacacacacca.
90/1001
Calculate prob of picking 2 u and 1 r when three letters picked without replacement from {j: 1, u: 11, r: 8}.
22/57
Calculate prob of picking 1 p, 1 j, and 1 q when three letters picked without replacement from jjqqqqjprpjjqqqvqvv.
80/969
Two letters picked without replacement from xaxaaaaxxx. What is prob of picking 2 x?
2/9
Calculate prob of picking 1 d and 1 g when two letters picked without replacement from uuxwxdwdwdgdddu.
2/35
What is prob of picking 2 z and 1 r when three letters picked without replacement from {r: 2, t: 2, z: 2}?
1/10
Four letters picked without replacement from {s: 6, q: 13}. What is prob of picking 4 s?
5/1292
Four letters picked without replacement from mvttvtmmxvmmxxmvvtm. What is prob of picking 1 t, 1 m, and 2 v?
70/969
What is prob of picking 2 r and 2 d when four letters picked without replacement from {d: 2, r: 10}?
1/11
Three letters picked without replacement from bwjwbwxwmmwwjmwm. What is prob of picking 1 w, 1 x, and 1 b?
1/40
Calculate prob of picking 1 z and 1 e when two letters picked without replacement from ezhme.
1/5
What is prob of picking 1 x and 1 l when two letters picked without replacement from xbxjbl?
2/15
Two letters picked without replacement from {v: 1, j: 5, w: 5}. What is prob of picking 2 w?
2/11
Four letters picked without replacement from {u: 6, a: 4, k: 2, d: 2, q: 3}. What is prob of picking 2 q, 1 d, and 1 a?
6/595
Three letters picked without replacement from {l: 2, j: 10, f: 5, b: 1, c: 2}. What is prob of picking 2 j and 1 l?
3/38
Two letters picked without replacement from {e: 5, s: 14}. Give prob of picking 2 e.
10/171
Calculate prob of picking 2 z and 1 j when three letters picked without replacement from jlljlzlbyzjl.
3/220
Two letters picked without replacement from jeaezszr. Give prob of picking 1 z and 1 r.
1/14
Two letters picked without replacement from libuubruiryulu. Give prob of picking 1 i and 1 l.
4/91
Calculate prob of picking 1 o, 1 e, 1 l, and 1 b when four letters picked without replacement from {l: 4, z: 1, o: 1, e: 6, b: 1}.
24/715
Two letters picked without replacement from wjrnwrno. What is prob of picking 2 r?
1/28
Four letters picked without replacement from {v: 1, y: 6, k: 4, o: 2}. Give prob of picking 1 y, 1 v, and 2 k.
36/715
What is prob of picking 4 s when four letters picked without replacement from ssysssyss?
5/18
Four letters picked without replacement from ssississii. What is prob of picking 4 s?
1/14
Three letters picked without replacement from {z: 2, q: 7, u: 2}. Give prob of picking 1 u and 2 q.
14/55
Calculate prob of picking 3 x when three letters picked without replacement from {x: 3, k: 3}.
1/20
Calculate prob of picking 1 e, 1 f, 1 u, and 1 l when four letters picked without replacement from {l: 2, f: 1, u: 1, y: 2, e: 1}.
2/35
Three letters picked without replacement from {i: 2, s: 7}. What is prob of picking 3 s?
5/12
Calculate prob of picking 2 d when two letters picked without replacement from ddud.
1/2
Two letters picked without replacement from zzxqwqzzpwzzzuu. Give prob of picking 1 z and 1 p.
1/15
Two letters picked without replacement from dddccccddc. Give prob of picking 2 d.
2/9
Three letters picked without replacement from {e: 4, h: 2, d: 2, a: 2}. What is prob of picking 2 h and 1 a?
1/60
Three letters picked without replacement from {a: 3, j: 2}. Give prob of picking 1 j and 2 a.
3/5
What is prob of picking 1 j and 1 o when two letters picked without replacement from ososokxsokowjxoxoo?
8/153
Three letters picked without replacement from hdhdlldhdhh. Give prob of picking 2 d and 1 h.
2/11
Three letters picked without replacement from ubuuubbuubuububbubb. Give prob of picking 3 b.
28/323
What is prob of picking 3 s and 1 k when four letters picked without replacement from ssgksmmsssssg?
56/715
What is prob of picking 1 e and 1 k when two letters picked without replacement from dhdkqkekqhdhlq?
3/91
Three letters picked without replacement from {v: 6, a: 2}. Give prob of picking 3 v.
5/14
What is prob of picking 1 l and 2 o when three letters picked without replacement from ooloooloololoooooo?
91/204
Calculate prob of picking 2 d and 1 h when three letters picked without replacement from {j: 2, i: 4, d: 10, h: 1}.
9/136
Two letters picked without replacement from sssggsssgggs. What is prob of picking 2 s?
7/22
What is prob of picking 1 y and 1 t when two letters picked without replacement from {t: 7, y: 11, i: 2}?
77/190
Calculate prob of picking 2 r and 1 t when three letters picked without replacement from {l: 3, x: 1, m: 4, r: 4, t: 2, h: 3}.
3/170
Two letters picked without replacement from xzzcsxvcxccs. What is prob of picking 1 c and 1 z?
4/33
Four letters picked without replacement from {e: 10, m: 9}. What is prob of picking 4 e?
35/646
Two letters picked without replacement from {z: 10, h: 2, c: 4, m: 4}. What is prob of picking 2 c?
3/95
What is prob of picking 1 j and 2 n when three letters picked without replacement from {n: 4, j: 3}?
18/35
Two letters picked without replacement from woiiowisoi. Give prob of picking 1 w and 1 i.
8/45
Calculate prob of picking 2 s and 2 u when four letters picked without replacement from sssussssususss.
15/91
Calculate prob of picking 2 t, 1 j, and 1 h when four letters picked without replacement from {d: 5, r: 2, t: 6, j: 2, h: 1}.
3/182
Two letters picked without replacement from {i: 1, r: 1, b: 1, a: 1, s: 1}. Give prob of picking 1 b and 1 s.
1/10
Three letters picked without replacement from vkkkvvvkkkvvkkkv. Give prob of picking 3 v.
1/16
Two letters picked without replacement from {w: 8, p: 7, n: 5}. What is prob of picking 1 n and 1 p?
7/38
What is prob of picking 2 w and 2 d when four letters picked without replacement from uwlwwwdwguluwudlluuu?
1/323
Calculate prob of picking 1 r and 1 y when two letters picked without replacement from {y: 6, r: 6}.
6/11
What is prob of picking 1 v and 1 e when two letters picked without replacement from {v: 2, t: 2, u: 1, e: 4, o: 3}?
4/33
Calculate prob of picking 1 v, 1 k, and 1 h when three letters picked without replacement from {k: 2, v: 1, h: 1, n: 13}.
1/340
What is prob of picking 1 g and 1 w when two letters picked without replacement from affgggafgwagwgggggf?
20/171
Four letters picked without replacement from {d: 1, i: 3, w: 5}. What is prob of picking 1 w and 3 i?
5/126
What is prob of picking 2 e when two letters picked without replacement from feffefffff?
1/45
Three letters picked without replacement from {y: 1, p: 1, q: 1, s: 1, g: 2, r: 1}. Give prob of picking 1 q, 1 s, and 1 y.
1/35
Two letters picked without replaceme
|
{
"pile_set_name": "DM Mathematics"
}
|
(c + 442)/3
Factor -2*f**2 + 204*f - 5170.
-2*(f - 55)*(f - 47)
Factor -f**3/7 - 3862*f**2 - 54065*f/7 - 27032/7.
-(f + 1)**2*(f + 27032)/7
Factor 2*n**2/21 - 280828*n/21.
2*n*(n - 140414)/21
Suppose -29841*a**4/8 - 8547413*a**3/8 + 2431709*a**2/4 - 170767*a/2 - 287 = 0. What is a?
-287, -2/609, 2/7
Factor 2*r**2 - 577548*r + 577546.
2*(r - 288773)*(r - 1)
Suppose v**4/7 + 86*v**3/7 + 1361*v**2/7 - 2984*v/7 + 1536/7 = 0. Calculate v.
-64, -24, 1
Suppose -3*q**3/8 + 1198653*q**2/8 - 119731350525*q/8 + 119730151875/8 = 0. What is q?
1, 199775
Factor f**3/2 - 28*f**2 - 49*f/2 + 1372.
(f - 56)*(f - 7)*(f + 7)/2
Determine d, given that -12*d**5 - 188*d**4 - 596*d**3 - 372*d**2 + 608*d + 560 = 0.
-35/3, -2, -1, 1
Suppose -10*a**3 + 194*a**2 + 2360*a + 1344 = 0. Calculate a.
-8, -3/5, 28
Determine a so that a**3 + 20681*a**2 + 454619*a + 2499739 = 0.
-20659, -11
Factor 5*p**3 + 68390*p**2.
5*p**2*(p + 13678)
Determine t, given that 2*t**3/7 + 918*t**2 + 95968*t/7 + 12792 = 0.
-3198, -14, -1
Factor -3*q**3/2 - 168801*q**2/2 + 337611*q/2 - 168807/2.
-3*(q - 1)**2*(q + 56269)/2
Factor -q**3/6 - 55*q**2/2 + 1202*q/3 + 2670.
-(q - 18)*(q + 5)*(q + 178)/6
Determine f, given that -f**3/4 + 554*f**2 - 24285*f/4 + 33075/2 = 0.
5, 6, 2205
Determine d, given that 2*d**4/11 - 22664*d**3/11 - 45334*d**2/11 - 22668*d/11 = 0.
-1, 0, 11334
Solve 119*o**4 - 54861*o**3 + 6295903*o**2 + 6244161*o - 106722 = 0.
-1, 2/119, 231
Let -a**3/4 + 2137*a**2/2 - 4566769*a/4 = 0. What is a?
0, 2137
What is l in -5*l**2 + 3274650*l - 536166631125 = 0?
327465
Solve o**2/2 - 10606*o = 0 for o.
0, 21212
Factor 4*z**2 + 2566244*z.
4*z*(z + 641561)
Factor 2*y**3/5 + 1154*y**2/5 + 14664*y/5.
2*y*(y + 13)*(y + 564)/5
Factor -2187*y**2 + 80514*y - 741027.
-3*(27*y - 497)**2
Factor 3*i**3/2 - 1083*i**2/2 + 54936*i - 1058400.
3*(i - 168)**2*(i - 25)/2
Determine r so that -52*r**4/15 + 2598*r**3/5 + 8752*r**2/15 + 302*r/5 = 0.
-1, -3/26, 0, 151
Factor -4*c**2 - 1544880*c + 1544884.
-4*(c - 1)*(c + 386221)
Let -2*i**2 - 6908*i - 813008 = 0. Calculate i.
-3332, -122
Factor -9*n**3 + 735*n**2 + 993*n + 249.
-3*(n - 83)*(n + 1)*(3*n + 1)
Suppose -5*s**3 - 25465*s**2 + 255025*s - 637875 = 0. What is s?
-5103, 5
Factor f**4 - 265*f**3 + 1822*f**2 - 4140*f + 3096.
(f - 258)*(f - 3)*(f - 2)**2
Solve 15*o**5 + 160*o**4 - 3790*o**3 + 11160*o**2 + 10495*o - 4600 = 0.
-23, -1, 1/3, 5, 8
Find s such that 10*s**5/17 - 806*s**4/17 + 2036*s**3/17 - 616*s**2/17 - 624*s/17 = 0.
-2/5, 0, 1, 2, 78
Factor -o**3/3 + 10405*o**2/3 - 62378*o/3 - 166384/3.
-(o - 10399)*(o - 8)*(o + 2)/3
Suppose -4*g**3/7 + 3016*g**2/7 - 26612*g/7 - 154960/7 = 0. What is g?
-4, 13, 745
Solve 27*x**4/5 + 26784*x**3 + 373917*x**2 - 2976*x - 207732/5 = 0 for x.
-4946, -14, -1/3, 1/3
Determine v, given that -205*v**2 - 10725*v - 23750 = 0.
-50, -95/41
Factor 5*j**3 - 6040*j**2 + 101145*j + 107190.
5*(j - 1191)*(j - 18)*(j + 1)
What is f in -300*f**5 - 912240*f**4 - 692937243*f**3 + 832647117*f**2 - 145737657*f + 6940323 = 0?
-1521, 1/10, 1
Suppose 2*s**5 + 2*s**4 - 420*s**3 + 1948*s**2 - 2654*s + 1122 = 0. Calculate s.
-17, 1, 3, 11
Factor 81*z**3/7 - 335670*z**2/7 + 49681824*z - 3679872.
3*(z - 2072)**2*(27*z - 2)/7
Factor 10*u**4 + 7786*u**3 - 3116*u**2.
2*u**2*(u + 779)*(5*u - 2)
Factor -8*f**3/9 - 514624*f**2/9 - 514618*f/9 - 128654/9.
-2*(f + 64327)*(2*f + 1)**2/9
Determine v, given that -34*v**3/11 - 20*v**2 + 3392*v/11 - 7872/11 = 0.
-246/17, 4
Let 2*s**3/7 - 72*s**2 + 984*s/7 + 4000/7 = 0. Calculate s.
-2, 4, 250
Factor 3*b**3 - 4347*b**2 - 201690*b.
3*b*(b - 1494)*(b + 45)
Let o**2 - 24182*o = 0. Calculate o.
0, 24182
Solve 3*l**5/7 - 213*l**4/7 + 558*l**3 + 2184*l**2 - 79968*l - 395136 = 0.
-7, -6, 28
Factor -2*t**2/5 + 51074*t/5 - 51064.
-2*(t - 25532)*(t - 5)/5
Factor -p**2/12 + 6811*p/4 + 10217/6.
-(p - 20434)*(p + 1)/12
Factor -3*l**5 + 225*l**4 - 222*l**3.
-3*l**3*(l - 74)*(l - 1)
Suppose -2*w**3 - 17600*w**2/7 - 5523878*w/7 + 4747692/7 = 0. Calculate w.
-629, 6/7
Let t**4/2 + 12899*t**3/2 - 77421*t**2/2 + 116145*t/2 = 0. What is t?
-12905, 0, 3
Determine o, given that o**2 - 3105*o = 0.
0, 3105
Suppose 18*k**4 + 32612*k**3 + 57768*k**2 - 275088*k + 57920 = 0. Calculate k.
-1810, -4, 2/9, 2
Determine b, given that 27*b**2 - 12237*b + 2718 = 0.
2/9, 453
Let 5*y**3 - 310520*y**2 - 1242140*y - 1242160 = 0. Calculate y.
-2, 62108
Factor -3*n**2/7 + 552*n/7 - 25245/7.
-3*(n - 99)*(n - 85)/7
Factor 15*b**3/8 + 135329*b**2/4 + 305227793*b/2 - 20349121.
(b + 9022)**2*(15*b - 2)/8
Factor -t**2/4 - 5272*t - 189711/4.
-(t + 9)*(t + 21079)/4
Suppose y**5/6 + 18*y**4 - 561*y**3/2 + 1519*y**2/3 - 244*y = 0. What is y?
-122, 0, 1, 12
Factor 39*t**4/2 + 4401*t**3/2 + 132093*t**2/2 + 1545843*t/2 + 3163680.
3*(t + 13)**3*(13*t + 960)/2
Factor h**3/3 - 3220*h**2 + 7779519*h - 46638482/3.
(h - 4829)**2*(h - 2)/3
Find c, given that 25*c**2 + 5420*c + 9675 = 0.
-215, -9/5
Factor -k**3 - 489297*k**2 - 59853622491*k - 179556463827.
-(k + 3)*(k + 244647)**2
Factor 2*q**3/13 + 240*q**2/13 + 7174*q/13 + 6936/13.
2*(q + 1)*(q + 51)*(q + 68)/13
Find k, given that k**4 - 388*k**3 + 22211*k**2 + 3240388*k + 3217788 = 0.
-63, -1, 226
Find g, given that 4*g**2 + 453824*g + 12872263936 = 0.
-56728
Determine m, given that m**2 + 1977*m - 11898 = 0.
-1983, 6
Factor -2*c**3 - 196984*c**2 + 590970*c.
-2*c*(c - 3)*(c + 98495)
Find h such that -2*h**3 - 9828*h**2 + 19662*h - 9832 = 0.
-4916, 1
Solve -2*l**3 + 44172*l**2 + 265086*l + 397656 = 0.
-3, 22092
Suppose 3*b**3 + 3249*b**2 + 9708*b - 12960 = 0. Calculate b.
-1080, -4, 1
Factor -5*z**2 - 7300615*z + 7300620.
-5*(z - 1)*(z + 1460124)
Find d, given that -3*d**2/5 + 123384*d/5 - 1268634288/5 = 0.
20564
Factor -2*d**2/17 - 121168*d/17 - 1835210528/17.
-2*(d + 30292)**2/17
Solve -9*n**4 + 219*n**3 - 1650*n**2 + 3300*n + 3000 = 0.
-2/3, 5, 10
Factor 75*q**5/7 - 390*q**4/7 + 687*q**3/7 - 468*q**2/7 + 108*q/7.
3*q*(q - 2)**2*(5*q - 3)**2/7
Factor -3*w**3 + 330*w**2 - 5337*w - 5670.
-3*(w - 90)*(w - 21)*(w + 1)
Factor -b**2/7 - 34304*b/7 - 294191104/7.
-(b + 17152)**2/7
Determine r so that r**2/6 - 1792*r - 10753/6 = 0.
-1, 10753
Determine j, given that 5*j**2 - 2750*j - 2755 = 0.
-1, 551
Factor 3*x**3 - 108*x**2 - 1551*x.
3*x*(x - 47)*(x + 11)
Factor w**4 - 936*w**3 + 934*w**2 + 936*w - 935.
(w - 935)*(w - 1)**2*(w + 1)
Factor 3*v**2/4 - 1017*v + 181896.
3*(v - 1144)*(v - 212)/4
Factor -17*p**3 + 56936*p**2 - 10047*p.
-p*(p - 3349)*(17*p - 3)
Suppose -o**5/7 + o**4/7 + o**3 - o**2/7 - 6*o/7 = 0. Calculate o.
-2, -1, 0, 1, 3
Determine r so that 4*r**3/5 - 13532*r**2/5 + 27052*r/5 - 13524/5 = 0.
1, 3381
Factor 4*a**2 - 368*a + 8320.
4*(a - 52)*(a - 40)
Solve 3*l**3/8 + 1035*l**2/8 = 0 for l.
-345, 0
Factor -2*l**2 - 208*l - 4256.
-2*(l + 28)*(l + 76)
Factor v**4/5 - 544*v**3/5 + 19656*v**2 - 5829824*v/5 - 12057136/5.
(v - 182)**3*(v + 2)/5
Solve -2*a**3/3 - 1030*a**2 + 20800*a - 313000/3 = 0 for a.
-1565, 10
Suppose 5*g**2 + 1045440*g + 54647239680 = 0. Calculate g.
-104544
Suppose -2*j**5/9 + 110*j**4/3 - 1588*j**3/9 - 1984*j**2/9 + 3392*j/3 + 10240/9 = 0. Calculate j.
-2, -1, 4, 160
Suppose -2*k**5/3 + 86*k**4/3 + 11078*k**3/3 + 32314*k**2/3 - 3692*k - 10800 = 0. Calculate k.
-54, -3, -1, 1, 100
Factor -7*j**4/4 + 23*j**3/4 - 5*j**2 + j.
-j*(j - 2)*(j - 1)*(7*j - 2)/4
Factor p**3 + 69*p**2 - 53901*p - 6294969.
(p - 249)*(p + 159)**2
Determine h so that -14*h**5/5 - 2476*h**4/5 - 105514*h**3/5 + 350284*h**2/5 - 54936*h + 6480 = 0.
-90, 1/7, 1, 2
Find f, given that 4*f**3 + 2846*f**2 - 202895*f/4 + 893025/4 = 0.
-729, 35/4
Solve -2*y**4/5 + 122232*y**3/5 - 2490110304*y**2/5 + 16909509037696*y/5 = 0.
0, 20372
Find g such that 2*g**5/5 - 11128*g**4/5 + 33364*g**3/5 + 11128*g**2/5 - 33366*g/5 = 0.
-1, 0, 1, 3, 5561
Factor -2*a**3/11 + 628*a**2/11 - 2880*a - 2980800/11.
-2*(a - 180)**2*(a + 46)/11
Factor 4*d**2 + 2852*d + 11344.
4*(d + 4)*(d + 709)
Factor f**3/3 - 37*f**2/3 - 24013*f/3 - 23975/3.
(f - 175)*(f + 1)*(f + 137)/3
Factor -2*n**3/3 - 47734*n**2/3 + 191008*n - 573096.
-2*(n - 6)**2*(n + 23879)/3
Let -36*f**5 + 608*f**4 + 716*f**3 + 72*f**2 = 0. What is f?
-1, -1/9, 0, 18
Factor -7*x**3/2 - 128155*x**2/2 + 9154*x.
-x*(x + 18308)*(7*x - 1)/2
Suppose t**2 + 59288*t + 878766736 = 0. What is t?
-29644
Solve -8
|
{
"pile_set_name": "DM Mathematics"
}
|
of -19*d**3/6 + 95*d**2 + 23*d + 4. Give v(10).
0
Suppose 0 = u - 4, 3*u = -t + 41 + 3. Suppose 35*c + t = 39*c. Let m(j) = j**3 - 9*j**2 + 10*j - 11. Calculate m(c).
5
Suppose 4*c + 212 + 260 = 0. Let i = -115 - c. Let h(q) = 2 - 79*q + 40*q + 34*q - 3*q**2 + 2*q**i. Give h(3).
14
Let g(d) = -d**3 + 4*d**2 + 60*d + 8. Let f be g(10). Let r(w) = -w**2 - 18*w + 207. Let h be r(f). Let x(s) = -s + 1. Determine x(h).
2
Let g(r) = -r**2 - 7*r + 2. Suppose 16 = 45*q - 41*q. Suppose 4*d - q = 0, h + 7*d - 22 = 2*d. Suppose 5*k + h + 18 = 0. What is g(k)?
2
Let o be (5 - 4) + 7 + -7 + 3. Let c(z) = -z**3 - z**2 - z - 3. Determine c(o).
-87
Let d be (4/(-6))/((-1)/6). Suppose -2*t + 1 = -s - 8, 2*s = -6. Let j(w) = -4*w - 3*w**3 - 3*w**2 + 2928 + 4*w**t - 2923. Give j(d).
5
Let k(p) = 3*p + 4. Let o(j) = j**3 - 9*j**2 + 3. Let d be (3059/42 - (-2)/(-6))*2. Let x be 8/(-12) - d/(-15). Let t be o(x). Calculate k(t).
13
Let g(f) = f**2 + 11*f + 12. Let m = -6686 - -6687. Suppose 4*q + 1 + 19 = 4*n, 5*q = 3*n - 19. Suppose o + n*c + 21 = 0, c + m = o + 6. Give g(o).
-6
Let w(g) = 6*g + 15. Let z(j) = -j - 3. Let m(b) = b**2 + 13*b - 63. Let l be m(-17). Let q be -3 - -1 - 4*l. Let c(o) = q*z(o) - 4*w(o). Give c(9).
-12
Let p(x) = -15015313*x + 40 + 15015332*x - 10. Calculate p(-9).
-141
Let i(n) be the first derivative of n**4/4 - n**3 + 2*n**2 - 5*n + 5678. Suppose -m - 2*m + 9 = 0. Calculate i(m).
7
Let t(u) = -4*u**3 - 2*u - 1. Suppose 45*k = 12*k + 66. Suppose -2*o - 2*g + 6 - k = 0, 4*o - 4*g = -16. Calculate t(o).
5
Let n(k) = 2*k**2 + 5 + 0*k - 4 - 6*k**3 - k + 3*k. Let h be n(-1). Let c(r) = -h - 20*r + 34*r - 10*r + 14. Calculate c(-5).
-13
Let j(c) = 13*c + 78. Let l(d) = 3*d + 18. Let f(p) = -2*j(p) + 9*l(p). Calculate f(-4).
2
Let j(w) = -w**2 - 17*w - 32. Suppose -37*l + 102*l = -975. Give j(l).
-2
Let k(q) = 181 - 325 + 6*q + 203. Calculate k(-9).
5
Let d(w) = -7*w**2 + 14*w + 33. Let o(m) = -58*m**2 + 114*m + 265. Let q(k) = -25*d(k) + 3*o(k). What is q(8)?
-30
Let h(k) = 4*k**3 + 192*k**2 + 4*k + 171. Let c be h(-48). Let m(n) = n**2 + 17*n - 83. What is m(c)?
1
Let l(j) = j**2 + 115*j + 1500. Let z be l(-100). Let a(u) = -u**3 - 13. Determine a(z).
-13
Let t(p) = 62*p**3 + 4*p**2 - 3*p - 5. Let x(d) = 27*d**3 + 2*d**2 - d - 2. Let b(m) = 2*t(m) - 5*x(m). What is b(-1)?
10
Let z(o) be the first derivative of 5*o**4/12 + o**3/3 - o**2/2 + 12*o + 133. Let h(g) be the second derivative of z(g). Calculate h(1).
12
Let j(x) be the first derivative of -x**4/4 - 7*x**3/3 - 5*x**2 + 6*x - 321. Give j(-5).
6
Let c(n) be the first derivative of -n**3/3 + n**2/2 + 12*n - 55. What is c(-4)?
-8
Let c = -11 - -10. Let q be (-282264)/(-30) - (-8)/(-10). Let o(b) = -16*b + 9408 - q. What is o(c)?
16
Suppose 95*j - j = -411 + 693. Let c(k) be the first derivative of 1 + 1/3*k**3 + 3*k - 3/2*k**2. What is c(j)?
3
Let i(v) = 14*v**3 - v**2 - 2*v + 3. Suppose -28*r - 114 + 142 = 0. What is i(r)?
14
Let x(u) be the third derivative of -5/24*u**4 + 0 - 5*u**2 + 1/2*u**3 - 8*u + 1/60*u**5. Suppose 3*b = 5*d + 18, 5*b - 4*d - 40 + 10 = 0. Calculate x(b).
9
Let s(z) = 7 - 2 - 4*z + 1. Let t = 725003 - 724998. Determine s(t).
-14
Let o(m) = 35*m**3 - m**2. Suppose 36 = 3*c + g, 3*g = 2*c + g - 16. Suppose 5*j - c = -z - 3*z, j = -4*z + 15. What is o(j)?
-36
Let g(k) = -14*k**2 - 29*k + 1. Let x(j) = -15*j + 133. Let p be x(9). Let f be g(p). Let w(y) = y**3 - 4*y**2 + y. What is w(f)?
-6
Let r(x) = 24*x - 18. Let d(j) = j - 1. Let h(q) = 18*d(q) - r(q). Let w(p) = 3*p + 43. Let g be w(-6). Suppose -30 = -5*t - 2*n + 7*n, -5*n = g. What is h(t)?
-6
Let m(k) = -2*k**2 + 14*k + 1. Suppose -31 = 8*i - 7*i + 5*b, 3*b + 15 = 0. Let r(c) = c**2 - 7*c. Let v(s) = i*m(s) - 11*r(s). Determine v(6).
-12
Let h(s) = s**3 - 5*s**2 - s + 8. Let w(b) = -b**2 - b + 1. Let z(u) = u**2 - 15*u - 23. Let x(c) = -2*w(c) - z(c). Let n be x(-16). What is h(n)?
3
Let p be 0 - 1 - 1 - (24 - 33). Let l(d) be the first derivative of 47 - 1/3*d**3 + 3*d**2 - 9*d. Determine l(p).
-16
Let b(o) be the third derivative of o**7/840 - o**6/180 + o**4/24 - 8*o**3 - 34*o**2. Let i(n) be the first derivative of b(n). What is i(-1)?
-2
Let o(g) = -3 + 290*g - 250*g + 5. Give o(2).
82
Let t(c) = -970*c + 56 - c**3 - 13*c**2 - 46 + 950*c. Calculate t(-11).
-12
Let a(i) = -i**2 + 8*i - 5. Let o be a(7). Suppose 5*t + 14 - 4 = 0, 3*w + t - 19 = 0. Let v be w - 2 - o - (-15 + 10). Let s(y) = y - 12. Determine s(v).
-4
Let b(i) = 2*i**3 + 8*i**2 - 3*i. Let z = 11 - 11. Let k(t) = -4*t**3 + 3*t**3 + 2*t**2 + t + z*t - 3*t**2. Let s(c) = b(c) + k(c). Determine s(-7).
14
Let g(y) = -3*y**2 - 5*y + 29. Let r(k) = 29*k**2 + 46*k - 268. Let u(f) = -19*g(f) - 2*r(f). Determine u(7).
-43
Let a be 5/(-7) - (5 + 33/(-7)). Let b(q) = 2*q - 39*q**2 - 4*q + 36*q**2 - 9*q**3. Calculate b(a).
8
Let h(d) = 15*d + 3. Suppose 0 = 596*n - 641*n - 270. Determine h(n).
-87
Let h(w) = w**3 + w**2 + w + 4. Let m(r) = 22*r**2 + 60 - r - 12*r**2 - 9*r**2 - 18*r. Let f be m(15). Give h(f).
4
Let f(k) = -51 + 147*k**2 - 433*k**2 + 152*k**2 - 14*k + 133*k**2. Give f(-10).
-11
Let j(d) = d**2 + 5*d - 7. Let v(h) = 6*h**2 + 32*h - 43. Let u(i) = 13*j(i) - 2*v(i). Let n = -2 + 2. What is u(n)?
-5
Let u(x) = -24*x**3 - 25*x**2 + 12*x + 2. Let j(z) = 13*z**3 + 13*z**2 - 7*z - 1. Let n(b) = 11*j(b) + 6*u(b). Calculate n(-6).
-5
Let v(q) be the second derivative of -q**3/6 - 7*q**2/2 + 2880*q. Suppose 0 = 3*y - 2*n, 5*y = -3*n + n. Give v(y).
-7
Let i(j) = 21*j**3 - 49*j**2 + 34*j. Let z(m) = 19*m**3 - 46*m**2 + 32*m. Let f(s) = 10*i(s) - 11*z(s). Give f(-17).
-85
Let v(w) = 4*w + 1. Let o(k) = 6*k + 256 - 255 + 2*k - 4*k. Suppose -3*f = 5*t + 30, -t - 2*f = -5*f - 12. Let j(s) = t*o(s) + 4*v(s). What is j(-1)?
-3
Let r(m) = -m**2 + 13*m - 4. Let h = 126 + -129. Let f be 5/h + 1 - 160/(-15). Determine r(f).
26
Suppose 9*a + 93 = 4*a - 2*i, 7 = 7*i. Let c(p) = 2*p**2 + 36*p - 10. Determine c(a).
28
Let u(z) = -z**2 - 5*z + 13. Let y be u(-7). Suppose 58 = -5*d + 208. Let l(q) = -5*q - 22*q**2 + 3*q + 3*q + d*q**2 + 1. Give l(y).
8
Let n(d) = -6*d - 524. Let s be n(-88). Let q(w) = w**3 - 2*w**2 + w + 9. Calculate q(s).
45
Let n(c) = 4*c**2 - 14 - 3908*c + 1954*c - 5*c**2 + 1948*c. What is n(-9)?
-41
Suppose -8 = -5*h + 5*u - 3, -5*h - u + 11 = 0. Let l(q) = -5 + 5 - 9 + 6*q - h*q. What is l(-7)?
-37
Let l(u) = -32*u - 22*u - 23*u + 65*u - 130 + 15*u. What is l(45)?
5
Let r(i) = -2*i**3 + 3*i**2. Suppose 5*w - 1677 = 1348. Let y = -603 + w. Calculate r(y).
-4
Suppose 96 = -31*l + 63*l. Let y(h) = -24*h + 56*h - 28*h + 4. What is y(l)?
16
Let x(h) = -h**3 - 19*h - 15*h**2 - 4 - 1 - 11*h**2 + 6*h**2. Let v(u) = -2*u**3 + 14*u**2 - 39*u + 143. Let k be v(6). Determine x(k).
-5
Let j(m) = -m**2 + 22*m - 92. Let d be j(16). Let v(s) = 25*s**2 + 14*s**2 - 6*s + 1 - 41*s**2 + s**3. Determine v(d).
9
Let v(x) be the third derivative of -x**5/60 - 7*x**4/4 - 105*x**3/2 - 112*x**2 - 2*x - 4. What is v(-10)?
5
Suppose n + 4*f - 7 = 0, 3*n - 7*f + 2*f - 38 = 0. Let i(j) be the first derivative of 1/4*j**4 + j**3 - j - n + 1/2*j**2. Give i(-2).
1
Let w = 33 - 33. Let d = 6 + w. Let x(a) = 0*a + a + d + 2*a - 5. Calculate x(-5).
-14
Let n(k) = -k**3 + 7*k**2 - k + 8. Let a(v) = -v**3 + 11*v**2 - 9*v + 4. Let j be a(10). Suppose 20 = -9*x + j*x. Suppose 5*d = x + 31. Calculate n(d).
1
Let r be 0/2 - (2 - 2 - 0). Let m be 10/1 + (2 - r) + -1. Let d(f) = -10*f**3 + m*f**3 - 1 - 4*f - 2. Determine d(-3).
-18
Let x(d) = 8*d - 91. Let l be x(12). Let y(w) = 2 + 9 - 3 - 3*w - l. What is y(5)?
-12
Let i(y) be the second derivative of -y**4/4 - 4*y**3/3 + 21*y**2/2 - 58*y - 39. What is i(-5)?
-14
Let j(s) = 7*s + 13 + 17 - 20*s - 29*s**2 + 11 - 43. Let f(o) = 9*o**2 + 4*o + 1. Let r(i) = -7*f(i) - 2*j(i). What is r(-2)?
-19
Let b(h) = -2*h - 2. Let d be -1*((-2)/(-8) - 2/8). Suppose 4*n - 58 = 5*q - 13, d = -n + 5*q + 15. Let u be (2 - 5/1)*n/15. Calculate b(u).
2
Let h(w) = w. Suppose -10 - 54 = 8*i. Let m be (14 + i)/(12/(-8)). What is h(m)?
-4
Let l(w) = -4 + 17 - w**2 + 9*w + 1 - 14 + 1. What is l(8)?
9
Let a(n) = n**3 + 19*n**2 + 42*n - 92. Let t be a(-16). Let s(r) be the second derivative of -r**4/6 + r**3 - 3*r**2/2 - 2*r. Calculate s(t).
-11
Let u(a) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
3071
What is -1.9436 minus 38911351?
-38911352.9436
What is 2 + -415057225007575?
-415057225007573
Total of 377 and 29.7760363955.
406.7760363955
What is -2726463013512 + -1?
-2726463013513
144207.85 + -200.4192
144007.4308
Calculate 62090047918.478 + 0.
62090047918.478
Add 32 and -270.9660503.
-238.9660503
Calculate -70696289639953.6 - -4.
-70696289639949.6
Work out -2.906368565444 + -0.1.
-3.006368565444
What is 4736597 less than 4207.4?
-4732389.6
What is -0.073 less than -22.200945747?
-22.127945747
Work out -16282.884 - -44412.
28129.116
Work out 3753844.862 + 43.
3753887.862
What is 0.018 plus 101161881.1419?
101161881.1599
What is -152.3 plus -2970848579?
-2970848731.3
-0.1 - 2435381.5700375
-2435381.6700375
Sum -40 and 0.00100420202.
-39.99899579798
Calculate 283659176 - -515193.
284174369
What is 1 - 50382099066?
-50382099065
Calculate 38.768 + 252.7514269.
291.5194269
Put together 50.738 and 212650473.
212650523.738
106268+107.646366
106375.646366
Total of -1.9214 and -14926520.
-14926521.9214
What is 288.5104 plus -48.36?
240.1504
What is the difference between -16.895598 and 8371618?
8371634.895598
What is -1677 minus -206.8563721?
-1470.1436279
What is 0.0506298 - -6520298?
6520298.0506298
What is -0.0131812 plus -2054516249?
-2054516249.0131812
Add together -1623 and 4644087.536.
4642464.536
Subtract 3 from 0.03013274680759.
-2.96986725319241
Add together 22715 and 21059506350.
21059529065
-11553568702312 - -0.1
-11553568702311.9
What is 1591509806481 - 0.1?
1591509806480.9
What is -298 - 876285840?
-876286138
What is 13654541114191 - -0.1?
13654541114191.1
Calculate -0.38223 + -423.08341.
-423.46564
Work out -0.0733 + -99254188560.
-99254188560.0733
What is the difference between 9608750224.86 and -0.5?
9608750225.36
Put together 119.7067013 and -1108.
-988.2932987
Subtract 21436022521 from 2.
-21436022519
What is 2.18784839 minus -660.62?
662.80784839
Calculate -0.12873449217161 - 0.14.
-0.26873449217161
What is -514599011735 - 22?
-514599011757
Subtract -3509039 from 4889115.
8398154
What is 295342 - 395075632?
-394780290
Sum 16295 and 4123695.
4139990
-1+99264900214
99264900213
Total of -63710972376 and 0.3.
-63710972375.7
Total of -671040299040 and -4.
-671040299044
What is 2.10518 plus 65763369?
65763371.10518
What is -0.90245724125836 - -0.4?
-0.50245724125836
What is 54845469821 take away -74?
54845469895
Add together -39192751 and -3075.
-39195826
What is the distance between 529895988593 and -28?
529895988621
Work out -0.9217235 - -8.51934.
7.5976165
Add 4662491.088 and 10743.
4673234.088
0.98 - -561618818092
561618818092.98
What is 0.0502 plus -31415592350?
-31415592349.9498
What is -5 minus 238014235164.7?
-238014235169.7
Work out -7 + 2.2366269974.
-4.7633730026
Subtract 365911.8934 from -21.
-365932.8934
What is 1.287 take away 27518384130?
-27518384128.713
Calculate -36090835 + -456995.
-36547830
What is the difference between 3242.8 and -353680956?
353684198.8
842619 + 114532415
115375034
What is -22 take away 88888729.54?
-88888751.54
0.9 + 3218946641.9
3218946642.8
What is the difference between -28668338 and -6347375?
22320963
-509349+-5303
-514652
What is 24294 - 7952004442?
-7951980148
What is 4.63 + -1.8498965952?
2.7801034048
What is -6748638270 take away -0.0553?
-6748638269.9447
Subtract -1317212048989 from 0.4.
1317212048989.4
Calculate -20.79 - 1130108136.
-1130108156.79
Add together -1.3 and 9111827910496.
9111827910494.7
Add together 15.8173 and -32.1842555.
-16.3669555
Subtract 35393136344.6738 from -1.
-35393136345.6738
Calculate 57.469656 + 13075.
13132.469656
Work out -0.316523 - -0.140247385.
-0.176275615
-2 - 117323070.9225
-117323072.9225
What is -1726715939 less than -2.62?
1726715936.38
-962325784 + -4.5
-962325788.5
What is 278.6551 less than -5113?
-5391.6551
Calculate -4065086 - 6445.9.
-4071531.9
What is 184116.8 + -0.388752?
184116.411248
8178.35912251 - 0.15
8178.20912251
Calculate 1944929 + 29632771.
31577700
Add together 5 and 10.3908101536.
15.3908101536
What is 0.33 take away -5444382.126?
5444382.456
Add -1647359 and 595.4485.
-1646763.5515
What is 7 minus -4322380.74525?
4322387.74525
What is -0.2 minus -233616.23245?
233616.03245
Put together -3601980.225 and -617.
-3602597.225
Add together 0 and 2490141385494.
2490141385494
What is 586824.478 take away -78.6?
586903.078
Add -2832 and -11938420.62.
-11941252.62
Work out -1.2 - 5362.8539.
-5364.0539
Calculate 7 - -593681914.97176.
593681921.97176
Add 4513.19729 and 3.7.
4516.89729
Add together 164910103422 and -11.
164910103411
What is 8.84 minus -1100368784?
1100368792.84
What is -37 - -6630800375?
6630800338
8.57+-148590415.5
-148590406.93
What is 136031 - 5722773392?
-5722637361
What is 2338599 minus -17.918609?
2338616.918609
Calculate 0.217 + 1611226.572.
1611226.789
Work out -8.1388642179 + -2533.
-2541.1388642179
What is -0.1008 - 233991990?
-233991990.1008
Calculate -20165586915 + 202.63.
-20165586712.37
3804.547 - -424007.4
427811.947
Calculate -6815.06 + -121414195.
-121421010.06
What is 1150694843381 plus 0.13?
1150694843381.13
Total of -0.136 and 17146718563.
17146718562.864
Sum -0.4 and 9710.2820622.
9709.8820622
Subtract -3 from -152346642.9603.
-152346639.9603
Calculate 25189266609.7 - 0.
25189266609.7
Calculate -8.3 + -4410422804.
-4410422812.3
What is 1684220646.7 less than 0.2?
-1684220646.5
Subtract 15752397.52 from 533856.
-15218541.52
0.17709944 - -4274946
4274946.17709944
What is 2946807106 plus -0.024?
2946807105.976
Subtract 2.403304196 from 0.3621.
-2.041204196
What is -62 take away 145850612835?
-145850612897
What is -68757.7404 less than -0.63?
68757.1104
Calculate -0.94 - -22657000.54.
22656999.6
Add together 842085619581 and -0.02.
842085619580.98
What is 352430.58703 take away 178?
352252.58703
What is the distance between -276546512473 and 0.584?
276546512473.584
Add -0.8 and -57956977722799.
-57956977722799.8
What is -9 plus 10425620736073?
10425620736064
What is -1092 + 4356633?
4355541
Work out 0.133407 - -181321074.1.
181321074.233407
Work out 24.67944259 + 1.
25.67944259
-0.01+-55531.582283891
-55531.592283891
What is -31120531354754 + -0.02?
-31120531354754.02
What is -8037490.5302 less than -132?
8037358.5302
58198830+1348
58200178
What is -8090736 less than 344845?
8435581
What is 152 plus -2904468471?
-2904468319
What is -93639770260 plus 4?
-93639770256
Put together 1429.928705 and 0.461734.
1430.390439
What is -2505095 + -0.02372656?
-2505095.02372656
Sum 6567 and 9841712714.
9841719281
Add together 612359 and 479931.
1092290
170441044+274566
170715610
What is 247349913287.3 less than -3.43?
-247349913290.73
What is -1330340.81 + -0.216022?
-1330341.026022
What is -536767 plus 7.668046?
-536759.331954
Work out 2.913589 + -374.6248.
-371.711211
38430 - -99912257
99950687
What is the difference between 23128 and -488821?
511949
What is 7299 less than -487422529?
-487429828
What is 0.953458 plus -2.386?
-1.432542
What is -9 plus 0.6612335654?
-8.3387664346
Calculate 8 - -4822402620.465.
4822402628.465
Total of 1 and 86.133335942.
87.133335942
Calculate -28609319 - 397.62.
-28609716.62
Work out 390.9 - 103434587.
-103434196.1
6898274 + -23294.807
6874979.193
4 + 99094015037747
99094015037751
What is -21300 minus 448228128?
-448249428
Work out 0.0009508 + -495591.
-495590.9990492
What is 0.022595614015 less than 0.09?
0.067404385985
Calculate 31 - -115738464329.
115738464360
What is -1375.483495493 plus -38.5?
-1413.983495493
Work out -4766.858721 + 208.
-4558.858721
Subtract -23275 from -768649.6.
-745374.6
Total of 121.152 and -10538768.
-10538646.848
What is -14938561 minus 37.7?
-14938598.7
Subtract 0.088 from -281551924.1.
-281551924.188
What is the distance between -0.1 and 45448685459237?
45448685459237.1
Work out -0.2 + 1752243075258.7.
1752243075258.5
Calculate -78857 + 73250.
-5607
What is 4580335092 + -58?
4580335034
Add together 6668724 and -60433158.
-53764434
What is -2852087892.7 less than 2990?
2852090882.7
What is 13 + -6.6339742857?
6.3660257143
-2.639411 + 0.594899
-2.044512
Add together -66160801.8 and 312.
-66160489.8
What is 1537217751 take away -2431?
1537220182
Total of -57477370042298 and 3.
-57477370042295
What is -10121088.7 - 4070?
-10125158.7
Put together 18441
|
{
"pile_set_name": "DM Mathematics"
}
|
37
Let q = -1589 + 2856. Suppose 9*p - q - 1118 = 0. List the prime factors of p.
5, 53
What are the prime factors of ((27/12)/(-3)*129)/((-7)/784)?
2, 3, 7, 43
Suppose -142*z + 147*z - 107650 = 0. Suppose 0 = 13*r - z - 1506. List the prime factors of r.
2, 443
Let i(d) = -d**2 + 153*d + 975. List the prime factors of i(0).
3, 5, 13
Let o be (-247)/(1/6 + 1/(-2)). Suppose -t - 5*z + o = 0, -5*t + 4061 = -z + 434. What are the prime factors of t?
2, 3, 11
Let t = 16626 + -6060. What are the prime factors of t?
2, 3, 587
Suppose 35*v = 25*v + 1750. Let x = v + -19. List the prime factors of x.
2, 3, 13
Let q = 16216 + 47915. List the prime factors of q.
3, 21377
What are the prime factors of 21 + -33 + 15 + (14222 - -2)?
41, 347
Suppose i - 16 = -16. Suppose 12*g + 5976 - 24108 = i. List the prime factors of g.
1511
Suppose l + 858*r - 861*r - 13177 = 0, 2*l = -4*r + 26374. What are the prime factors of l?
13183
Let r(d) = -5*d**3 - 2*d**2 + 6. Let h(u) = 6*u**3 + 2*u**2 + u - 5. Let k(s) = -4*h(s) - 5*r(s). List the prime factors of k(6).
2, 127
Let t = 99 + -141. What are the prime factors of (-6)/(-7)*(-196)/t?
2
Suppose -5 - 31 = -12*o. Suppose 12*x + 3193 = o*i + 11*x, 0 = 5*i + 3*x - 5345. What are the prime factors of i?
2, 13, 41
Let s = -36 + 127. What are the prime factors of 7357/s - (-4)/26?
3
Let p = 2777 - 1233. Let s = p - 930. What are the prime factors of s?
2, 307
List the prime factors of (74172/70)/(212/100 - 2).
2, 5, 883
Let k(j) = 5*j + 27. Let z be k(-5). Suppose -6*x + 5*x + 5*p = -233, 2*x - 466 = z*p. What are the prime factors of x?
233
Let j = -23 - -8. Let t be j/6*3688/(-20). Let a = t - 183. List the prime factors of a.
2, 139
Let c(d) = -35*d**3 - 2*d - 2. Let h be c(-1). Suppose -24 = -2*m - z + h, -3*z - 26 = -m. Let r = m - -50. What are the prime factors of r?
79
List the prime factors of (49756/70)/((-4)/(-60)) - (-7 + 2).
10667
Let u = 722 + -320. What are the prime factors of u?
2, 3, 67
Suppose -271070 = -9*h + 25*o - 27*o, -3*h + 90362 = 2*o. List the prime factors of h.
2, 11, 37
Let x(l) = l**2 - 33*l + 92. Let j be x(30). Suppose 0 = -2*i - 2, 2*q - 3*i - 1133 = j*i. List the prime factors of q.
2, 3, 47
Let t(r) = 5*r**3 + 8*r**2 + 72*r - 2. Let j(f) = -11*f**3 - 15*f**2 - 145*f + 5. Let n(l) = -3*j(l) - 7*t(l). What are the prime factors of n(-6)?
449
Suppose 2*f + 183 = m - 2*m, 4*f = -5*m - 933. Let h = 108 + m. Let s = h + 150. List the prime factors of s.
3, 23
Let w be ((-238)/(-51))/((-14)/6 + 3). Suppose 585 = w*b - 2*b - 5*q, -5*q = -3*b + 361. List the prime factors of b.
2, 7
Suppose -2*s = 5*w, 0 = -4*w + 2*w + 4*s + 24. Let o(x) = -x**3 + 3*x**2 - 10*x + 14. Let a be o(w). List the prime factors of (225/6)/(a - (-13)/6).
3, 5
Suppose 5 = u, 3*x = -x + u + 11. Suppose x*c - 17 = -5. Suppose -3*w - m + c*m + 287 = 0, 378 = 4*w + 2*m. What are the prime factors of w?
5, 19
Suppose 13*j - 144478 - 124765 = 0. List the prime factors of j.
139, 149
What are the prime factors of 3/4 + 6409627/668?
2, 2399
Let p be 4/(-6) - 267710/(-57). List the prime factors of (-1)/(-5) + p/20.
5, 47
Suppose 2*n = -2*n + 2*w + 12, 4 = 4*n + 2*w. Suppose -i = -n*i - 252. Let x = -136 - i. What are the prime factors of x?
2, 29
Let y(h) = -h**3 + 2*h**2 + 6*h + 1. Let m be y(3). Suppose -22 = -m*t - 342. What are the prime factors of ((-2)/(t/76))/((-2)/(-40))?
5, 19
Let h(r) = 20*r - 86. Let q be h(4). List the prime factors of (-6 - q) + 10/(-5) + 370.
2, 23
Let c(m) = 517*m**2 - 7*m + 25. Let s be c(5). Suppose 17*u - s = 889. List the prime factors of u.
2, 7, 29
Let p(b) = -2*b**3 + 3*b**2 + 2*b - 16. Let i be p(-4). Suppose 149*r = i*r - 33. List the prime factors of r/((-220)/104)*-30.
2, 3, 13
Suppose -475 = 4*d - 9*d. Suppose -1823 + 6558 = 115*y - 4695. Suppose 3*j = d + y. What are the prime factors of j?
59
Suppose 13*v = 27*v - 56. Let c be (-74 - -1)/(v/(-8)). Suppose -x = -c + 41. List the prime factors of x.
3, 5, 7
Let r(q) = q**3 + 8*q**2 + 3*q - 26. Let o be r(-7). Let g(y) = 54*y**2 + 4*y - 6. List the prime factors of g(o).
2, 109
Suppose 6*u - 7*u - 5*w = -320, 680 = 2*u + 2*w. List the prime factors of u.
3, 5, 23
Suppose -3*r = -5*f + 1757, f + 2 = -0*f. Let q = 595 + r. List the prime factors of q.
2, 3
What are the prime factors of (259064/(-168) + (-45)/27)*-7?
2, 3, 1801
Suppose -3*z = -2*j - 71 - 27, -3*z + 190 = -4*j. Let l = j - -51. Suppose -3*f + 375 = 4*u, 0*f = -l*u - 3*f + 471. What are the prime factors of u?
2, 3
Suppose 111*i - 10170705 + 2787207 = 0. What are the prime factors of i?
2, 79, 421
Let a(y) = -2*y**3 - 26*y**2 + 28*y + 9. What are the prime factors of a(-21)?
3, 17, 127
Let k(o) = 2417*o**2 - 5*o + 9. What are the prime factors of k(2)?
7, 1381
Suppose -22*r - 3*r - 99 = -3899. What are the prime factors of r?
2, 19
Let u be (-1)/((-996)/248 - -4). Let p = u + -64. List the prime factors of (-4 - p)*79*(-1)/2.
79
Let z(w) = w - 6. Let i be z(16). Let v be (-296520)/27 + i/45. List the prime factors of ((-2)/(-3))/(-2) - v/114.
2, 3
Suppose 0 = 3*n - t - 61018, 11 = t + 3. What are the prime factors of n?
2, 7, 1453
Let o be 6*((-50)/3)/5 - 1. List the prime factors of 760/3 + o/63.
11, 23
Let m(v) = 52*v**2 + 21*v - 48. List the prime factors of m(-14).
2, 5, 197
Let s(w) = 388*w**2 + 8*w + 8. Let d be s(-1). Suppose 6*i - 4*i - d = 0. What are the prime factors of i?
2, 97
Let m = 279 + -275. Suppose m*b - 1408 = 1452. What are the prime factors of b?
5, 11, 13
Let g(y) be the first derivative of -y**2/2 + 115*y + 144. What are the prime factors of g(9)?
2, 53
Let r(a) = 459*a**2 + 18*a + 212. List the prime factors of r(-8).
2, 17, 433
Let i be 1 - -279 - (-8 + 0 - -5). Suppose -u = 4*s + 370, -4*s + 4*u - i = 77. What are the prime factors of (-20)/(-30) + s/(-6)?
2
Let u(v) = v**3 - 9*v**2 - 11*v + 15. Let h be u(10). Suppose -z - h = 3. What are the prime factors of (-500)/(-8) - (-4)/z?
2, 31
Let d be (1 - 15/5)/1. Let z be (13 - 1) + (-1 - d - 2). Suppose 1649 - 76 = z*c. List the prime factors of c.
11, 13
Let d be 16/120 + (-392)/15. Let n = d + 195. What are the prime factors of n?
13
Let d(m) = m**3 + m**2 - m + 55. Let w = 40 + -40. Let z be d(w). Suppose h - f + 2*f = 61, 4*f = -h + z. What are the prime factors of h?
3, 7
Let g = -3 + 7. Let a be 55/33*(g - 1). Suppose -32 = -a*l - 12. What are the prime factors of l?
2
Let o be (7/(-3))/(4/12). Let j be 1*(3 + o - -4). List the prime factors of 16/(-40)*(j - 60).
2, 3
Let m be 5/15*15 - 5. Suppose m*p - 4*p = -3*p. List the prime factors of 72/4 - (0 + 1 + p).
17
Suppose -24 - 22 = -q. Let u = 70 - q. Suppose s - 50 = u. List the prime factors of s.
2, 37
Let q be 419/8 - 9/24. Suppose q*c + 12 = 48*c. Let l(s) = 6*s**2 + 2*s - 1. What are the prime factors of l(c)?
47
Let g(n) = -23*n**3 - 2*n**2 - n - 7. Let b be g(-3). Let u = b + -408. Suppose 4*a - 369 = 3*t, -2*a - t + u = 4*t. List the prime factors of a.
3, 31
Suppose -8 = -z - 2*q, -5*z - 12*q + 9*q + 54 = 0. Suppose 6*m - 162 = -z. What are the prime factors of m?
5
Let l(d) = -d + 14 - 5*d + 25*d**3 - 10*d**2 - 55*d**3 + 13*d**3 + 16*d**3. Let q = -5 - 5. What are the prime factors of l(q)?
2, 37
Let r = 68740 - 46659. What are the prime factors of r?
71, 311
Let y(r) = -11*r**3 + 56*r**2 + 5*r + 9. What are the prime factors of y(-6)?
3, 31, 47
Suppose 0 = -2*p + 3*j - 0*j + 14, 0 = 4*j. Suppose 2*s - p = -1, 4*q + 2*s - 142 = 0. Suppose t - q = 4*v, -5*v = -t - 3*t + 147. List the prime factors of t.
2, 19
Let t(r) = r - 17 + 6 + 2. Let a be t(6). Let y = 55 + a. What are the prime factors of y?
2, 13
Let x(s) = 18*s**2 - 47*s - 99. List the prime factors of x(-23).
2, 13, 101
Let p(n) = n**3 + 15*n**2 + 15*n + 17. Let v be p(-14). Suppose -2*x + v = 2*i + 1, 2*x - 2 = -4*i. List the prime factors of (-1 + x - 4) + 107.
103
Suppose 126042 = 28*l - 90566. Suppose -8*d - 2432 = -l. List the prime factors of d.
3, 13, 17
Let n(y) = 2*y**2 - 25*y + 58. List the prime factors of n(41).
5, 479
What are the prime factors of (-288806)/(-147)*(2 - -1)?
2, 7, 421
Let h = -1249 - -649. Let b = h - -1916. What are the prime factors of b?
2, 7, 47
Suppose 42*o = 1278205 + 850650 - 180181. What are the prime factors of o?
13, 43, 83
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
*3/2 - k**2 - 1730*k. Let z(j) = 135*j - 11. Give -11*f(o) + 2*z(o).
-27*o
Let f(y) = 18*y - 3*y**3 - 20*y - 4*y**3 - 2. Let r(i) = -77*i + 133*i**3 + 11 - 38 - 50 - 399*i**3 + 0. Give 77*f(j) - 2*r(j).
-7*j**3
Let m(q) = -187*q**2 - q - 76. Let a(o) = -o**2 - o - 26. Calculate -3*a(x) + m(x).
-184*x**2 + 2*x + 2
Let f(n) = -3*n**2 - 21*n + 24. Let a(o) = -3*o**2 - 18*o + 23. Give -5*a(m) + 4*f(m).
3*m**2 + 6*m - 19
Let w(a) = -3281*a - 339. Let i(m) = 3281*m + 282. Give -6*i(j) - 5*w(j).
-3281*j + 3
Let j(k) = -5*k - 9. Let v(l) = -525 + 235 + 142 + 149. Calculate j(c) + 6*v(c).
-5*c - 3
Let x(o) = -3445*o + 42. Let v(h) = -1723*h + 24. Calculate 7*v(k) - 4*x(k).
1719*k
Let f(n) be the second derivative of 13*n**4/6 - 5*n**3/6 - 5*n**2/2 - 447*n. Let i(u) = u + 1. Calculate -f(q) - 5*i(q).
-26*q**2
Let m(k) = 158*k**2 + 194. Let f(j) = -40*j**2 - 47. Determine 13*f(g) + 3*m(g).
-46*g**2 - 29
Let i(b) = 36*b**2 + 2*b - 2. Let f(g) = 5024*g**2 + 263*g - 219. Let x(w) = -1005*w**2 - 53*w + 45. Let t(l) = -2*f(l) - 11*x(l). What is -57*i(d) + 2*t(d)?
-38*d**2
Let t(b) = -14*b**2 - 20*b + 1918. Let z(n) = 22*n**2 + 31*n - 2878. Determine -8*t(h) - 5*z(h).
2*h**2 + 5*h - 954
Let o(g) = 3*g**2. Let r be 5/((-15)/12) + 2. Let j be r/(-2 + -2)*-12. Let y(b) be the third derivative of -3*b**5/20 - 470*b**2. Determine j*y(z) - 17*o(z).
3*z**2
Let y(j) = 1637*j**3 + 4*j**2 - 12*j - 13. Let s(g) = g**3 + g**2 - 2*g - 2. Determine 6*s(q) - y(q).
-1631*q**3 + 2*q**2 + 1
Let y(r) = 5*r - 4225. Let g(p) = -p + 706. What is 13*g(o) + 2*y(o)?
-3*o + 728
Let q(m) = 70*m**2 + 4*m - 5. Let k(x) = 3*x**2 - x - 3. Determine -2*k(g) - q(g).
-76*g**2 - 2*g + 11
Let w(j) be the second derivative of 32*j**3/3 + 2172*j. Let n(i) = -i. Determine -96*n(o) - w(o).
32*o
Suppose 0 = 24*d - 40*d + 30*d - 98. Let y(x) = 4*x**2 + 11*x - 7. Let u(o) = 3*o**2 + 7*o - 5. Determine d*u(v) - 5*y(v).
v**2 - 6*v
Let n(a) = -4*a**2 - 13*a - 1. Let g(q) = 25*q**2 - 131*q + 9. What is g(d) + 6*n(d)?
d**2 - 209*d + 3
Let m(z) be the third derivative of 0 - 1/6*z**3 - 1/60*z**5 - 114*z**2 + 0*z - 1/24*z**4. Let s(g) = 5*g**2 + 3*g + 5 + g + g. What is -11*m(b) - 2*s(b)?
b**2 + b + 1
Let y(i) = 48*i - 7 - 6*i**2 + 4 - 41*i + 7 - 3. Let f(w) = 5*w**2 - 6*w - 1. Determine 3*f(q) + 2*y(q).
3*q**2 - 4*q - 1
Let h(b) = -401*b**2 - 11*b - 2274. Let p(l) = -182*l**2 - 5*l - 1136. Calculate 5*h(d) - 11*p(d).
-3*d**2 + 1126
Let k(o) = 30390*o**3 + 14*o**2 + 39. Let h(u) = -20260*u**3 - 10*u**2 - 28. Determine -7*h(q) - 5*k(q).
-10130*q**3 + 1
Let a(n) = 3*n - 4. Let z(g) = -5*g + 8. Let s(x) = -6*x + 9. Let t(q) = 3*s(q) - 4*z(q). Suppose -943*u + 958*u = 90. Determine u*t(h) - 7*a(h).
-9*h - 2
Let l(k) = -3*k**3 + 1. Let z(a) = -31*a - 832. Let y be z(-27). Let b(q) = 4*q**3 - 1. What is y*b(u) + 6*l(u)?
2*u**3 + 1
Let f(p) be the third derivative of 23*p**5/60 + 3*p**4/8 + 13*p**3/6 + 176*p**2. Let u(y) = 12*y**2 + 4*y + 6. Give 6*f(k) - 13*u(k).
-18*k**2 + 2*k
Let u(h) = -11*h**2 - 6. Let k(b) = -11*b**2 - 5. Let t = 16166 - 16172. Calculate t*k(l) + 5*u(l).
11*l**2
Let p(l) = 75*l + 11. Let f(r) = 72*r + 13. Give 5*f(n) - 6*p(n).
-90*n - 1
Let b(q) = -4*q - 5. Let g(l) = 2*l + 2. Let c(d) = -d**2 - 2*d + 44. Let w be c(-7). Suppose w*o = 7*o + 5*y + 18, -4 = 2*y. Give o*b(i) + 10*g(i).
4*i
Let v(p) = 6*p**2 + 5709*p + 10. Let x(h) = 7*h**2 + 5705*h + 12. Calculate 6*v(u) - 5*x(u).
u**2 + 5729*u
Let s(j) = -4*j**2 - 7*j - 11. Suppose 61*l - 18 = b + 56*l, 34 = 2*b + 4*l. Let w(r) = 5*r**2 + 8*r + 12. Give b*s(v) + 6*w(v).
2*v**2 - v - 5
Let o(v) = 11*v - 44. Let b(d) = -10*d + 43. Calculate 6*b(y) + 5*o(y).
-5*y + 38
Let p(i) = -2*i**2 - 3*i. Let g(m) = -m**2 + 9*m + 12. Let b be g(10). Suppose b*f - 13 = -o, -14*o - 5*f + 34 = -11*o. Let q(j) = -j. Give o*q(s) - p(s).
2*s**2
Let k(d) = 69*d + 19. Let w(s) = 75*s + 30. Calculate -6*k(n) + 5*w(n).
-39*n + 36
Let a(k) = 219*k - 4540. Let c(q) = 602*q - 13620. What is 11*a(o) - 4*c(o)?
o + 4540
Let r(d) = 4*d**3 + 3*d**2 + 2*d - 3. Let k(t) = t**2 + 55*t - 180. Let q be k(-58). Let n(s) = -16*s**3 - 13*s**2 - 9*s + 13. Give q*n(h) - 26*r(h).
-8*h**3 + 2*h
Let r(i) = -11*i + 61. Let t(a) = 10*a - 59. What is -9*r(f) - 8*t(f)?
19*f - 77
Let w(t) = 3*t**2 + 5*t + 9. Let s(m) = -m**2 - 2*m - 4. Let y(f) = -18*f**2 - 323*f + 9. Let j be y(-18). Give j*s(u) - 4*w(u).
-3*u**2 - 2*u
Let x(z) = -z**3 + 2*z + 1. Let o(f) = 6030*f**3 - 14472*f - 7236. Give -o(v) - 7236*x(v).
1206*v**3
Let v(b) = 6*b - 7. Let z = -14 + 2. Let g be (((-28)/z)/(-7))/(1/(-15)). Let c(o) = 4*o - 5. Determine g*v(t) - 7*c(t).
2*t
Let h(k) = k**3 - 5*k**2 + 2. Let t(w) = -w**3 - 24*w**2 - 7*w + 9. Let y(n) = -n**3 - 16*n**2 - 5*n + 6. Let x(d) = -5*t(d) + 7*y(d). What is 8*h(j) + 5*x(j)?
-2*j**3 + 1
Let m(r) = -2*r + 3. Suppose -9*u + 142 = 97. Let c(v) = -2*v + 2. Let y(a) = u*m(a) - 6*c(a). Let b(n) = -3*n - 3. What is -3*b(o) - 4*y(o)?
o - 3
Let u(o) = 4*o - 3. Suppose -3*v - 26 = -d - 5*v, 117 = 4*d - 5*v. Suppose 132 = d*b - 64. Let t(z) = 5*z - 4. Give b*u(j) - 6*t(j).
-2*j + 3
Let m(k) be the first derivative of -21 + 1/2*k**2 - 1/3*k**3 + k - 1/4*k**4. Let q(p) = 6*p**3 + 3*p**2 - 3*p - 1. What is 3*m(z) + q(z)?
3*z**3 + 2
Let k(q) = q + 1. Let v(u) = 10022*u - 2*u**2 + 5 - 20043*u + 10023*u. What is 3*k(c) - v(c)?
2*c**2 + c - 2
Suppose 2320 - 1896 = -106*m. Let p(f) = 1. Let t(s) = -2*s**2 + 2*s - 13. Give m*p(z) - t(z).
2*z**2 - 2*z + 9
Let a(l) = -17*l**3 - 7*l**2 - 9*l + 6. Let o(b) = 31*b**3 + 13*b**2 + 21*b - 12. Determine 11*a(x) + 6*o(x).
-x**3 + x**2 + 27*x - 6
Let f(c) = 36*c + 6. Let w(t) = -t - 2. Let k(u) = f(u) + 3*w(u). Let m(v) = 925*v. What is 111*k(b) - 4*m(b)?
-37*b
Let o(i) = -39*i - 239. Let x(k) = -6*k + 1. Give o(m) - 6*x(m).
-3*m - 245
Let c(u) = -5*u - u - 11 + 2*u - u**3 + 6. Let d(k) be the third derivative of -k**6/120 - 5*k**4/24 - k**3 + 40*k**2. Give 6*c(b) - 5*d(b).
-b**3 + b
Let i(f) = -257 + 4*f**2 - 4*f + 2*f + 263 - 2*f. Let c(y) = -3*y**2 + 3*y - 5. Suppose 60 = -95*m + 107*m. Calculate m*c(o) + 4*i(o).
o**2 - o - 1
Let r(o) = 4*o**3 + 5*o**2 - 15*o + 5. Let n(g) = 5*g**3 + 6*g**2 - 15*g + 6. Suppose 68 = -57*k + 68*k - 2*t, -k + 11 = -5*t. What is k*r(j) - 5*n(j)?
-j**3 - 15*j
Let x(u) = 6*u - 1 - 3*u - 2*u. Let c(n) = 52*n - 39. Suppose 5*w = -5*i + 30, -198*i + 4*w - 18 = -196*i. What is i*c(v) - 39*x(v)?
13*v
Let c(i) be the first derivative of i**4/4 + 4*i**3/3 - 2*i**2 + 4*i + 179. Suppose 12 - 52 = 10*f. Let p(r) = r**3 + 3*r**2 - 3*r + 3. What is f*p(g) + 3*c(g)?
-g**3
Let q be 18/(-4) + 1/(-2). Let j(p) = -p - 1. Let s(v) = -23417*v + 23 - 19 + 23424*v. Let n = 1 + -2. What is n*s(x) + q*j(x)?
-2*x + 1
Let w(i) = -7*i**2 - 15*i + 124. Let f(k) = 3*k**2 + 7*k - 57. Give -9*f(d) - 4*w(d).
d**2 - 3*d + 17
Let x(d) = -9*d**3 + 11*d**2 - 5*d. Let m(q) be the first derivative of q**4 - 2*q**3 + 3*q**2/2 + 3786. Calculate -5*m(l) - 3*x(l).
7*l**3 - 3*l**2
Let k(p) = p**2 + 11. Let i(x) = 2*x**2 + 12. Let u be (1040/(-78) + (-1 - -16))/((-2)/6). Calculate u*i(r) + 6*k(r).
-4*r**2 + 6
Let t(k) = 150*k**2 + 14*k - 2. Let z(r) = 101*r**2 + 13*r - 1. Let b(m) = -2*t(m) + 3*z(m). Let f(y) = 7*y**2 + 23*y + 3. Calculate 5*b(l) - 2*f(l).
l**2 + 9*l - 1
Let b(w) = -5180*w**2 - 315*w - 315. Let p = -868 + 1183. Let n(t) = 33*t**2 + 2*t + 2. Calculate p*n(y) + 2*b(y).
35*y**2
Let p(s) = 97*s - 19. Let w(n) = 60*n - 13. Give -5*p(q) + 7*w(q).
-65*q + 4
Suppose 21*c + 220 = 10*c. Let d be (3 - (-84)/c)/((-4)/60). Let o(l) = -2. Suppose 0 = 3*b + b + 16. Let q(j) = j - 9. Calculate b*q(h) + d*o(h).
-4*h
Let r(a) = 7*a**2 - a - 5. Let t(d) = 2*d - 1. Give -r(u) + 5*t(u).
-7*u**2 + 11*u
Let u(s) = 32*s - 62. Let z(m) = -32*m + 56. Let q be 44/(-6) - (-36)/27. Let o(v) = q*z(v) - 5*u(v). Let p(a) = 11*a - 9. Calculate -6*o(t) + 17*p(t).
-5*t + 3
Let r(a) = a**3 - 75*a**2 + 215*a + 70. Let y be r(72). Let l(k) = -k**2 + 9*k. Let i(m) = 10*m - 1. Give y*i(o) + 3*l(o).
-3*o**2 + 7*o + 2
Let j(n) be the second derivative of -n**2 - 8*n. Let g(t) = 18*t + 250. Let h be g(-14). Let p(m) = -3*m - 30. Determine h*p(w) + 30*j(w).
6*w
Let n(x) = -23*x**2 - 27*x + 9. Let t(s) = s**3 - 73*s**2 - 82*s + 28. Calculate -19*n(h) + 6*t(h).
6*h**3 - h**2 + 21*h - 3
L
|
{
"pile_set_name": "DM Mathematics"
}
|
qrt(2)
Simplify (0 + (sqrt(1053) + -3)*4)*5.
-60 + 180*sqrt(13)
Simplify (2*(1 + sqrt(192)) + (4*(sqrt(192) - ((sqrt(192)*-1 - sqrt(192)) + sqrt(192))))**2)*-6.
-73740 - 96*sqrt(3)
Simplify -6*(-1 + sqrt(242) - sqrt(242))**2*4 - (0 + (1 + sqrt(242) + sqrt(242))**2 + -5).
-988 - 44*sqrt(2)
Simplify -5 + 2*sqrt(200) + -4 + (-2 + sqrt(98))*2.
-13 + 34*sqrt(2)
Simplify (-4 + -2*sqrt(605) + sqrt(605) + -2)**2 - 3*(-3 + 1 + sqrt(605)).
99*sqrt(5) + 647
Simplify ((sqrt(605) + 1 + sqrt(605) + -5 + 5 + sqrt(605) + -1)*-2 + 0 + 0)**2.
21780
Simplify -3*2*sqrt(2592) - (sqrt(8)*5 + 1 + sqrt(98)).
-233*sqrt(2) - 1
Simplify -2 + -2*((-1*sqrt(2736))**2*-1 - (5 + sqrt(2736) + (-1*sqrt(2736))**2)).
24*sqrt(19) + 10952
Simplify (sqrt(468)*-1)**2*-5 + -3 + (sqrt(325) + -1 + sqrt(325))**2.
-1042 - 20*sqrt(13)
Simplify -5 + 3*((1*sqrt(80) + 3)**2 + -3) + 0.
72*sqrt(5) + 253
Simplify 2*(-1 + (sqrt(17) + sqrt(17) + 3 + sqrt(17))**2) - (sqrt(2448) - -6*4*sqrt(2448)).
-264*sqrt(17) + 322
Simplify (((sqrt(72) - (sqrt(72)*2 + sqrt(72)))*4)/sqrt(12))/(sqrt(24)/sqrt(3) + sqrt(32)/sqrt(4)).
-2*sqrt(3)
Simplify 3*((1*sqrt(130)*-2 - sqrt(130))/(sqrt(120)/sqrt(3)) + 2 + -2)**2.
351/4
Simplify 4*((-2 + 2*sqrt(192) + -2)*4 + 3).
-52 + 256*sqrt(3)
Simplify 4*(-2 + sqrt(432) + (sqrt(147) + -2*sqrt(147))**2) + 2.
48*sqrt(3) + 582
Simplify (-5*4*sqrt(539)*-2*2)**2 + 2.
3449602
Simplify (-2*sqrt(5500))/(sqrt(5) + 2*sqrt(20)/sqrt(4)) + -1.
-20*sqrt(11)/3 - 1
Simplify (-4*1*sqrt(70) - sqrt(70) - sqrt(70) - (sqrt(70) - 1*sqrt(70))*3)/(-4*(sqrt(10) + sqrt(40)*-2)).
-sqrt(7)/2
Simplify 0 + (sqrt(384) - (sqrt(384) + (sqrt(384) - 3*-1*sqrt(384)) + sqrt(384) + sqrt(384)))/((sqrt(36)*-4)/sqrt(3)).
6*sqrt(2)
Simplify (((sqrt(132) + sqrt(132)*1)*-2*1)/((sqrt(12) - (-2*sqrt(96) - sqrt(96))/sqrt(8)) + sqrt(24)/sqrt(2)*5))**2.
176/81
Simplify ((sqrt(80) - (sqrt(80) + -3*(sqrt(80) + 2*sqrt(80) + sqrt(80)) + sqrt(80)))/sqrt(5))/(-5*(sqrt(88) - sqrt(88)*-2)/sqrt(11)).
-11*sqrt(2)/15
Simplify ((sqrt(363) - (sqrt(363) + sqrt(363) + sqrt(363) + -2))*-3 + -2 - (sqrt(1188)*2)/((sqrt(176) + sqrt(44))/sqrt(4)))**2.
-992*sqrt(3) + 11596
Simplify (-1*(sqrt(30) - sqrt(480) - sqrt(30)))/(sqrt(48)/(sqrt(40)/sqrt(5))).
4*sqrt(5)
Simplify 3*((sqrt(35) - -1*sqrt(140)/sqrt(4))/sqrt(7) + (sqrt(125) + 0 - (3*sqrt(5)*1)**2)).
-135 + 21*sqrt(5)
Simplify (sqrt(3600)*-2*6)/((sqrt(2430)*-1)/sqrt(6)).
16*sqrt(5)
Simplify (2*(sqrt(85) + (sqrt(85) - (3*sqrt(85) - sqrt(85)))))/(sqrt(5) - (sqrt(5) + (sqrt(350)/sqrt(7))/sqrt(10))).
0
Simplify 4*-3*(sqrt(5)*2*-3)**2 + -3.
-2163
Simplify (5 + (sqrt(363) - (sqrt(363) + sqrt(363) + -1 + sqrt(363))) + 3)**2 + 5 + ((sqrt(363) + -1)**2 - sqrt(363)) + -2.
-429*sqrt(3) + 1900
Simplify ((sqrt(324) - 1*((sqrt(324) - (-1*sqrt(324) + sqrt(324))) + sqrt(324)))/sqrt(9))/(6*(sqrt(84)*-2 + sqrt(84) - sqrt(84))/sqrt(7)).
sqrt(3)/12
Simplify (-3 + ((sqrt(300)*2 - sqrt(300))/sqrt(6) + sqrt(50))/sqrt(10))*2*4.
-24 + 16*sqrt(5)
Simplify (sqrt(396)*-3*-4 - (4*(-3 + sqrt(1100) + sqrt(1100)) - sqrt(1100))) + 1.
2*sqrt(11) + 13
Simplify (sqrt(88)*-1*-4*6)/((sqrt(72) - (sqrt(72) - (-1*sqrt(72)*-4 + sqrt(72))))/sqrt(9)).
24*sqrt(11)/5
Simplify -3*(((sqrt(605) + -3)**2 + sqrt(605))*-5 + -5 + 1).
-825*sqrt(5) + 9222
Simplify ((sqrt(448) - (-3 + (sqrt(448) - sqrt(448)*2) + sqrt(448)) - (2*sqrt(448) - sqrt(448))*-1) + 4)**2.
224*sqrt(7) + 1841
Simplify (-2*sqrt(1300) + sqrt(13))*2 + ((sqrt(91) + sqrt(91) + sqrt(91) + -1*sqrt(91)*6)/sqrt(7))**2.
-38*sqrt(13) + 117
Simplify (-3*((sqrt(170)*-3 - sqrt(170)) + sqrt(170)))/(sqrt(250)*-5).
-9*sqrt(17)/25
Simplify 2*(sqrt(99) + -4*(1*sqrt(99) + sqrt(99)) + 4).
-42*sqrt(11) + 8
Simplify 0 + (sqrt(220)/(sqrt(55)/sqrt(5)*-6))/(2*((1*sqrt(10) + sqrt(10) - sqrt(10)) + sqrt(10))*5).
-sqrt(2)/120
Simplify 1 + (sqrt(75) + 1)**2 + sqrt(3) + 5*(sqrt(3) + 1) + 3 + ((sqrt(210) - 1*sqrt(210))/sqrt(10))/sqrt(7).
16*sqrt(3) + 85
Simplify 6*((-1*(sqrt(294) + sqrt(294)*1 - sqrt(294)))/sqrt(7))/((sqrt(144)/sqrt(2))/sqrt(3)).
-3*sqrt(7)
Simplify ((5 + 1*(-5 + -2 + sqrt(432)))*5)**2.
-1200*sqrt(3) + 10900
Simplify (4*-2*sqrt(77))/sqrt(11) - (4 + (sqrt(847)*-2)**2).
-3392 - 8*sqrt(7)
Simplify -1 + ((sqrt(363) + 3)**2 - sqrt(3)) + (sqrt(363) - (sqrt(363) - (sqrt(363) - (sqrt(363) - (sqrt(363) + sqrt(363)*-5)))) - sqrt(363))*1.
10*sqrt(3) + 371
Simplify 1 + 3 + ((sqrt(3) + (sqrt(3) - 6*sqrt(75)))**2 - (sqrt(24)/sqrt(8)*-5)**2).
2281
Simplify ((sqrt(55)/(sqrt(40)/sqrt(8) + sqrt(5)))**2 - (-2 + sqrt(11) + 1))*-6.
-45/2 + 6*sqrt(11)
Simplify ((sqrt(65) - (sqrt(65) + -1*sqrt(65)*4))*6)/(sqrt(45)*5 - sqrt(5)*-1*-6).
8*sqrt(13)/3
Simplify (sqrt(135) - sqrt(135)*-3*-2)/((sqrt(36)*-3)/sqrt(12)*4).
5*sqrt(5)/4
Simplify 2 + (0 + sqrt(3))*1 + sqrt(3) - (4*(sqrt(147) + 0) - sqrt(147))**2.
-1321 + 2*sqrt(3)
Simplify sqrt(19) + (-4 + sqrt(76)/sqrt(4))**2 + -1 - (sqrt(228)/(sqrt(60)/sqrt(5)*-6))**2.
-7*sqrt(19) + 1205/36
Simplify ((-4*-1*sqrt(1872)*3)**2 + -3)*3 + 3.
808698
Simplify (-2*sqrt(104)*-1 + 3*(sqrt(104) - (sqrt(104) + (sqrt(104) - 1*sqrt(104)))))/(2*sqrt(392)*2 - sqrt(392) - sqrt(392) - sqrt(392)).
2*sqrt(13)/7
Simplify ((sqrt(120)/sqrt(4)*-1 - sqrt(30))*-5)/((sqrt(1440) - (sqrt(1440) - sqrt(1440)*1)) + sqrt(1440) + sqrt(10)*-2*6).
5*sqrt(3)/6
Simplify ((sqrt(180)/(sqrt(18)/sqrt(2) + sqrt(9))*-1)/((sqrt(30) - (sqrt(120)/sqrt(4) + sqrt(30)))/sqrt(3) - sqrt(90)/sqrt(144)))**2.
8/25
Simplify (((-2*(sqrt(140)*2 + sqrt(140)) + sqrt(140) - sqrt(140)) + sqrt(140))/(sqrt(63)/sqrt(324) - sqrt(7)))**2*6.
4320
Simplify sqrt(49)/(-1*sqrt(567)) + sqrt(84)/((sqrt(108)*2)/sqrt(9)).
7*sqrt(7)/18
Simplify (5*sqrt(66)*-1 - (sqrt(66) + sqrt(66)*2*-4 + sqrt(66) + sqrt(66) - sqrt(66)))/((sqrt(486)*1 - sqrt(6)) + 1*2*sqrt(6)).
sqrt(11)/10
Simplify ((6*(sqrt(2916) + sqrt(2916)*-2))/(sqrt(108)/(sqrt(36)/sqrt(4)) - (sqrt(108) - 2*sqrt(108) - sqrt(108))))**2.
8748/49
Simplify (3*-6*(3 + sqrt(11)) + 1)**2*2.
3816*sqrt(11) + 12746
Simplify 5 + -1 + ((2*sqrt(1053) + -3 - sqrt(1053)*1*4) + -1)**2.
144*sqrt(13) + 4232
Simplify -5*(0 + -2*(1 + sqrt(275) + 0 + -2))**2.
-5520 + 200*sqrt(11)
Simplify (-6*(-3*(sqrt(243) + sqrt(27)) + sqrt(162)/sqrt(24))/(-3*(sqrt(36) - sqrt(324))))**2.
1587/16
Simplify (((sqrt(5) + (sqrt(5) - sqrt(35)/sqrt(112)))*-2 + sqrt(180) + 5)*2)**2.
100*sqrt(5) + 225
Simplify ((1*-3*sqrt(275) + -2)*5*2 + 3)**2.
5100*sqrt(11) + 247789
Simplify (((sqrt(500) + 1*sqrt(500))*3 - sqrt(500)) + sqrt(500))/((sqrt(110) + -1*sqrt(110)*-3 + sqrt(110))/sqrt(11)).
6*sqrt(2)
Simplify (sqrt(175) - (sqrt(175)*4 + 0))**2 + ((sqrt(175) + -3 - sqrt(175))*3 - sqrt(175) - sqrt(175))**2 + -2.
180*sqrt(7) + 2354
Simplify 4 + ((sqrt(60)/sqrt(4)*-3)/sqrt(5) - (sqrt(300) - (sqrt(300)*2)**2 - sqrt(300))*-3).
-3596 - 3*sqrt(3)
Simplify (-5 + (sqrt(18)/(-5*sqrt(27)/sqrt(3)) + -1)*-5)*2.
2*sqrt(2)
Simplify ((sqrt(68) - 3*sqrt(68)) + sqrt(68))/sqrt(4) + sqrt(68)/(3*sqrt(4)) - (sqrt(85)/sqrt(5) + 4 - (0 + sqrt(833) - sqrt(833))).
-5*sqrt(17)/3 - 4
Simplify ((1*-2*sqrt(832))**2 - sqrt(832)) + -5 + -1 + sqrt(832) - ((sqrt(78) - -1*sqrt(78))*-1)/(sqrt(48)/(sqrt(24)/sqrt(3))).
2*sqrt(13) + 3322
Simplify (sqrt(88)/((sqrt(160)/sqrt(4) - sqrt(40) - sqrt(40))/sqrt(10)))/(-6*sqrt(396)*2 + sqrt(396)).
sqrt(2)/66
Simplify (sqrt(242)*1*-2)**2 + (-3*2*sqrt(2) - (4 + -1 + sqrt(2) - sqrt(2))).
-6*sqrt(2) + 965
Simplify (2*sqrt(110)*3)/(sqrt(10)*1*6) + (-4*(-1*sqrt(275) + 2))**2.
-319*sqrt(11) + 4464
Simplify (-6*sqrt(3584))/sqrt(8) - (3 + 3 + sqrt(7) + 1).
-49*sqrt(7) - 7
Simplify -4*(5*sqrt(76)*-3)/(sqrt(36)/sqrt(81)).
180*sqrt(19)
Simplify ((sqrt(1617)*2*-2)/(sqrt(11) + (-1*sqrt(132) + sqrt(132))/sqrt(12) - 1*sqrt(44)))**2.
2352
Simplify -1*(sqrt(475) + (sqrt(475) - (4*(sqrt(475) + sqrt(475) + sqrt(475)*-2) + sqrt(475) - sqrt(475))**2) + (sqrt(475) + sqrt(475) + 3)**2*6)*-3.
1110*sqrt(19) + 34362
Simplify ((sqrt(38)/sqrt(2))**2 + -4 - sqrt(19))*-2 + sqrt(19) + sqrt(171) + (sqrt(171)*2)**2 + 0.
6*sqrt(19) + 654
Simplify 1 + ((-2 + sqrt(128) + 0 + sqrt(128))**2 + 0)*5.
-320*sqrt(2) + 2581
Simplify (5 + (1*sqrt(1125) + 3)*-3)**2.
360*sqrt(5) + 10141
Simplify 5 + (sqrt(704) - sqrt(704)*-3 - sqrt(704)*4).
5
Simplify ((sqrt(1584) + (sqrt(1584) - (sqrt(1584)*-2 - sqrt(1584))) + sqrt(1584) + 3 + (sqrt(1584) + sqrt(1584)*-2 + sqrt(1584))*1)*-4)**2.
6912*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ s*q and give w.
24
Rearrange (t + 2*t - 5*t)*(-34 + 34 - 2*t) - t**2 - 4*t**2 + 3*t**2 to v*t + f*t**2 + c and give f.
2
Rearrange 14*s**2 + 39*s**2 - 49*s + 49*s to the form o*s**2 + t*s + d and give o.
53
Rearrange (-n**2 - 4*n**2 + 7*n**2 + (-n + 8*n + 2*n)*(-n + 4*n - 4*n))*(-2*n**2 - 4*n**2 + 5*n**2) to the form i*n**2 + x*n + y*n**3 + q*n**4 + j and give q.
7
Express -3 + 1 - 5*f + 438*f**3 - 434*f**3 in the form t*f**3 + q + u*f**2 + n*f and give n.
-5
Rearrange -h**2 + h + 5*h**3 - 14 + 14 to f*h**2 + k + j*h + s*h**3 and give s.
5
Express (4*i**3 + 0*i**3 - 5*i**3)*(i + 48*i + 35*i) as d*i**2 + o*i + b*i**3 + f + v*i**4 and give v.
-84
Rearrange (-2*r + 3*r - 3*r)*(-5 + 1 + 2)*(-3 - 6 - 18)*(3*r - r**2 - 3*r) to c*r + f*r**3 + w + n*r**2 and give c.
0
Express 0 + 9*d + 0 + 20*d in the form y*d + k and give y.
29
Rearrange -2*m**2 + 3*m**2 + m**3 - 5 + 3*m**2 - 3*m**2 to t*m**3 + b + r*m**2 + n*m and give t.
1
Express 6*f - f - f in the form s*f + p and give p.
0
Express r**3 + 2 + 2*r**2 + r + 2*r + 7*r**3 - 4*r**3 in the form z + k*r + c*r**3 + h*r**2 and give h.
2
Rearrange (-i**2 - 3*i**2 + 6*i**2)*(i**2 + 17*i - 17*i)*(-2 + 7 - 2) to the form o + z*i**4 + c*i**2 + f*i**3 + x*i and give z.
6
Express (1 + 4 - 3)*(17 + 12 - d - 34) in the form b + s*d and give b.
-10
Express 19 - 32*s**2 + 31*s**2 + 7 in the form v + z*s + p*s**2 and give v.
26
Rearrange 7*i**2 + 37*i - 37*i - 30*i**2 to d + t*i + x*i**2 and give x.
-23
Rearrange y**2 + 3*y**4 - 5*y**4 - 2*y**3 + 4*y**4 - 3*y + 4*y to the form h*y + m*y**2 + w*y**3 + j + i*y**4 and give i.
2
Rearrange (-3*g + 2*g + 1 + 1)*(-3*g**2 + 0*g**2 - g**2) to f*g + a + q*g**3 + v*g**2 and give v.
-8
Express -11*i**4 + 8*i**4 - 3*i**4 + (-i**2 + 0*i**2 + 2*i**2)*(-4*i - i**2 + 4*i) in the form t + v*i**4 + p*i**3 + l*i**2 + s*i and give v.
-7
Rearrange -2*g**2 + 0*g**3 + 0*g**3 + g**3 + 8 - 2*g to the form m + d*g**3 + s*g**2 + x*g and give m.
8
Express -5*t**3 + 0*t**3 + 10*t**3 + t**3 - t**3 + t**3 + (-3*t**2 + 5*t**2 - t**2)*(0*t - 3*t + 5*t) as o*t**3 + z*t**2 + a*t + k and give o.
8
Rearrange -2 - 5 - 2 + 5 - 8*s**2 to d + b*s + o*s**2 and give o.
-8
Rearrange (-14 - 6 + 11 - 2*y)*(4*y + 5*y**3 - 4*y) to m*y**3 + q*y + o + v*y**2 + r*y**4 and give r.
-10
Rearrange (3 - 5 + 1)*(2*z + 13*z + 11*z + 0*z) to the form h*z + f and give h.
-26
Rearrange 786*y - y**2 - 21 - 786*y to the form p + d*y**2 + z*y and give z.
0
Rearrange -4 + p + 4 + (p - 5*p + 2*p)*(-2 + 6 - 2) + 5*p - 2*p - 2*p - 4*p + 5*p + 8*p + 2*p - p - 4*p to f + c*p and give f.
0
Rearrange -2*k - 4*k**3 + 2*k**3 + 0*k**4 + k**4 + 34 - 30 to j*k + t*k**3 + y*k**4 + p + s*k**2 and give j.
-2
Express -11*g + 0 - 2*g + 4*g + 5 in the form u + j*g and give u.
5
Express 2*f**2 + 11*f**2 + 8*f**2 + 20*f**2 in the form o*f + m + b*f**2 and give b.
41
Express -w**2 - 7*w**3 + w**4 + 0*w**2 + 12*w**3 in the form o*w**2 + v + m*w + i*w**3 + p*w**4 and give o.
-1
Rearrange 13*d**3 + 0*d**2 + 2*d**2 + d**2 - d**2 to r*d**2 + z + o*d**3 + p*d and give o.
13
Express (3*o + o - 2*o)*(6 + 0 - 1) in the form n*o + m and give n.
10
Express 3*d**4 - d**4 + 0*d**2 + 4*d - d**2 + 3*d**2 as x*d**4 + o*d**3 + b*d + a + h*d**2 and give b.
4
Rearrange -46*b + 78*b - 39*b to f*b + c and give c.
0
Rearrange -2*w - 4 + 4 - 3*w**2 + 0*w to the form z + x*w + n*w**2 and give z.
0
Express (-15*r + 4*r - 20*r)*(-4*r - 3*r + 6*r) in the form v + w*r**2 + u*r and give w.
31
Express 1 - 1 + 328*g - 353*g as o*g + y and give o.
-25
Rearrange o**2 - 3*o**2 + 0*o**4 - 3*o**4 + 2*o**4 + 2*o + 2*o**3 to the form b + a*o**4 + p*o + n*o**2 + s*o**3 and give a.
-1
Rearrange -37 - 2*i**4 + i**2 - 4*i + 37 to w*i**3 + s + n*i + m*i**2 + t*i**4 and give n.
-4
Express 771 - 771 - 35*s as o + t*s and give t.
-35
Express -7*c**2 - 3*c**2 - 5*c**2 as z*c + t*c**2 + i and give t.
-15
Express (2*w - 3*w + 2*w)*(10 + w - 10) + (2*w - 4 + 4)*(-w + 10 - 10) in the form l*w**2 + u + p*w and give l.
-1
Express 10*c**2 - 3 + 0*c**2 + 1 in the form o + q*c**2 + l*c and give q.
10
Rearrange -2*r**3 + 11*r - 13*r + 4*r**2 - 2*r**2 to g*r**2 + b + x*r**3 + y*r and give y.
-2
Express 6*k + 4*k - 3 - k**3 + 4 - k**4 + 20*k as z + b*k + t*k**3 + d*k**2 + f*k**4 and give t.
-1
Rearrange -561 + 561 + 8*i to the form b + x*i and give x.
8
Express 3*s**2 - 3*s**2 - 2*s**2 + (3 - 3 - 3*s)*(-19*s + 13 - 13) in the form c*s + j*s**2 + m and give j.
55
Express -4*q + 3*q - 12 + 2*q as m + l*q and give m.
-12
Express 1 + 10*y + 89*y**4 + y**2 - 174*y**4 + 83*y**4 as o*y**3 + m + g*y + a*y**2 + d*y**4 and give d.
-2
Express -39 - 4*i**2 + 39 in the form o*i**2 + k + z*i and give z.
0
Express 9*h**3 + 2*h**3 + 2 + h**3 + h**2 in the form v*h + i + k*h**3 + b*h**2 and give k.
12
Rearrange 0*u - u - 2*u**3 - 11*u**3 to y*u**2 + g*u + w*u**3 + j and give w.
-13
Express (4*y + 2*y - 3*y)*(5 + 7 - 8*y - 11) in the form i + b*y**2 + z*y and give b.
-24
Express 12*o + 4*o - 9*o as k*o + h and give k.
7
Rearrange 0*p + 28*p - 3*p to the form u*p + l and give u.
25
Express (-2 + 2 + 5)*(17 + 6*c - 17) as b + i*c and give i.
30
Rearrange -14 + 14 + 8*y + (-2*y + 2*y - y)*(0 - 3 + 1) - 2*y + 0*y + 3*y to k*y + l and give k.
11
Rearrange (17 + 13*z - 12 - 4)*(2 - z - 2) to f*z**2 + m*z + x and give m.
-1
Rearrange -2*r**2 - 75*r + 75*r - r**3 + 2 to the form n*r**3 + b + a*r**2 + i*r and give a.
-2
Rearrange 9*i**3 - 4*i**3 + 0*i**2 - i**2 to the form z + d*i + s*i**3 + w*i**2 and give w.
-1
Rearrange 13 - 2*w + w**4 - 14 + 5*w to i*w**2 + u + h*w + s*w**4 + r*w**3 and give h.
3
Rearrange 2*q**2 - 60*q**3 + 2 + 31*q**3 - 2*q + 27*q**3 to the form r*q + z*q**3 + t + o*q**2 and give z.
-2
Express (-60 + x - x**2 + 2*x**2 + 70)*(-3 + 4 + 1)*(3 - 2 + 2) as f + z*x**2 + m*x and give f.
60
Rearrange -21*y**3 - 2 + 22*y**3 + 1 - 4*y**2 + y**4 - 3 to z + m*y**3 + a*y + v*y**2 + c*y**4 and give z.
-4
Rearrange 81*r + r**2 + r**3 - 3*r**4 + 80*r - 159*r + 1 to the form c*r**4 + h*r**3 + d + l*r + g*r**2 and give d.
1
Express -4*b**2 + 3*b**2 + 22 - 40*b + 40*b in the form p*b**2 + n*b + c and give c.
22
Express -m - m**2 + m + (4*m + m - 6*m)*(0 + 2*m + 0) + (3803 + 18*m**2 - 3803)*(-3 + 3 + 2) as v + j*m + b*m**2 and give b.
33
Rearrange (-2*r + 3*r**3 + 2*r)*(4 - 3 + 0)*(-1 + 4 - 1) to the form z*r + a + m*r**3 + f*r**2 and give a.
0
Rearrange (19*h + 77*h + 3*h)*(h + 2 - 2 + (2*h + 4 - 4)*(0 + 4 - 3) + h + 2 - 2 - 1 + h + 1) to m*h**2 + g*h + j and give j.
0
Express 3*o + 3*o**4 - 4*o**4 + o**3 + 2*o**2 - 2*o + 7*o as g*o**4 + s + c*o**3 + j*o**2 + z*o and give z.
8
Rearrange (0*r - 6*r + 4*r)*(2 - 2 - 2*r + (6*r + 2*r + 17*r)*(-2 - 1 + 2)) to c + p*r**2 + b*r and give p.
54
Rearrange l**2 + l**4 + 5*l - 4*l - 4*l - 2 - 2*l**4 to s*l**4 + r*l + f*l**2 + z*l**3 + c and give s.
-1
Rearrange -7*n - 14*n - 6*n to x + j*n and give j.
-27
Rearrange 82 - 47*q - 162 + 82 to p + r*q and give r.
-47
Express 1 + d - 3*d**2 + 12*d**3 - 11*d**3 - d**4 + 0 in the form x + f*d**2 + b*d**3 + w*d + j*d**4 and give j.
-1
Rearrange 2*h**4 + 0*h**3 + 0*h**3 + (-4 - 2*h**3 + 4)*(-h + 0 + 0) - h**3 + 3*h**4 + h**3 to the form r*h + n*h**3 + x + q*h**2 + o*h**4 and give o.
7
Rearrange x + 58 + 63 - 184 - 104*x**3 + 65 to t + d*x**3 + i*x + g*x**2 and give i.
1
Express -9*v**3 + 8*v**3 + 0*v + 2*v**2 - 2*v as u + p*v**2 + t*v**3 + c*v and give c.
-2
Rearrange 2 + 3*o**3 + 8*o**4 - 2*o - 8*o**4 + 8*o**4 - o**3 to the form j*o**3 + z + y*o + h*o**2 + s*o**4 and give y.
-2
Express 7*m**2 - 6*m**2 + 4*m**2 + 9*m**2 in the form k*m + o + r*m**2 and give r.
14
Rearrange -v**2 + 5958*v - 5958*v - 20 to w*v**2 + m + x*v and give w.
-1
Rearrange 2*x**4 + 3*x**4 - 4*x**4 + (-21*x**2 - 15 + 15)*(-2*x**2 + 4*x**2 + 0*x**2) to the form w*x + q*x**2 + d*x**3 + n*x**4 + c and give n.
-41
Rearrange -4*r + 20 + 2*r - 7 + 15 to the form j*r + a and give a.
28
Rearrange -119 - 4*a**3 - 3*a + 119 to y*a**3 + n*a + x*a**2 + s and give n.
-3
Express -3*w**3 + 2*w**4 - 1 - 3*w**4 - 3*w + 3*w**3 as p*w**3 + n*w**2 + r*w**4 + q + l*w and give q.
-1
Express -o**3 - 2 + 78*o - 76*o + 21*o**2 + 2 in the form j + u*o**2 + v*o**3 + c*o and give c.
2
Rearrange -4*f - 8 + 0*f + 9*f - 6*f to the form w + t*f and give t.
-1
Rearrange 2*a - 2*a + 2*a**2 + (0*a - a - a)*(2
|
{
"pile_set_name": "DM Mathematics"
}
|
t replacement from jjznnpzzjj.
4/15
Three letters picked without replacement from lpgcagaala. What is prob of picking 1 g, 1 l, and 1 p?
1/30
What is prob of picking 2 c when two letters picked without replacement from {c: 2, y: 3, j: 11, a: 3}?
1/171
What is prob of picking 2 e when two letters picked without replacement from {e: 2, n: 2, p: 3, u: 8}?
1/105
Calculate prob of picking 2 e when two letters picked without replacement from {y: 2, i: 1, f: 1, x: 1, c: 1, e: 2}.
1/28
Three letters picked without replacement from iiww. What is prob of picking 1 i and 2 w?
1/2
Calculate prob of picking 2 m when two letters picked without replacement from meeeemee.
1/28
What is prob of picking 3 f and 1 x when four letters picked without replacement from {f: 18, x: 1}?
4/19
Three letters picked without replacement from {h: 2, l: 1, d: 1, p: 2, z: 2, m: 7}. What is prob of picking 1 l and 2 d?
0
Calculate prob of picking 3 n when three letters picked without replacement from nnqnqqnqnnnqn.
28/143
What is prob of picking 1 m, 1 n, 1 l, and 1 r when four letters picked without replacement from rlnnrmgmnmnqqnn?
12/455
Two letters picked without replacement from {q: 1, n: 1, z: 1, b: 1, d: 1}. Give prob of picking 1 n and 1 d.
1/10
What is prob of picking 2 w when two letters picked without replacement from {l: 13, s: 3, w: 4}?
3/95
Two letters picked without replacement from nvvknvvnvknynvvnenn. What is prob of picking 1 y and 1 e?
1/171
What is prob of picking 2 h when two letters picked without replacement from {h: 9, t: 4, v: 1}?
36/91
Four letters picked without replacement from {z: 1, f: 1, b: 2, n: 1, m: 3, l: 3}. What is prob of picking 1 f, 1 n, 1 l, and 1 b?
1/55
Four letters picked without replacement from {b: 9, y: 7, t: 3}. What is prob of picking 3 t and 1 b?
3/1292
Calculate prob of picking 1 o, 2 r, and 1 c when four letters picked without replacement from rggcgqopocrorpc.
9/455
Calculate prob of picking 1 p, 1 h, and 1 w when three letters picked without replacement from {p: 3, h: 3, v: 1, i: 3, w: 1, l: 3}.
9/364
Calculate prob of picking 1 u and 1 p when two letters picked without replacement from ppau.
1/3
Two letters picked without replacement from ddpdppdddpd. What is prob of picking 1 d and 1 p?
28/55
Four letters picked without replacement from bwwwbeebewb. What is prob of picking 4 b?
1/330
Four letters picked without replacement from witttttiwiwttitwi. Give prob of picking 2 i and 2 w.
3/119
Two letters picked without replacement from {w: 1, h: 5, p: 10, g: 1, b: 1, e: 1}. Give prob of picking 1 p and 1 g.
10/171
Two letters picked without replacement from {a: 3, r: 9}. Give prob of picking 2 r.
6/11
Four letters picked without replacement from {e: 11, b: 3, z: 5, n: 1}. What is prob of picking 1 b, 2 e, and 1 z?
55/323
What is prob of picking 2 s when two letters picked without replacement from {s: 2, o: 1, h: 1}?
1/6
What is prob of picking 1 g and 3 s when four letters picked without replacement from {s: 6, g: 7}?
28/143
Calculate prob of picking 1 j and 1 v when two letters picked without replacement from {f: 2, j: 1, t: 2, v: 2, m: 1}.
1/14
What is prob of picking 1 f and 2 r when three letters picked without replacement from rmqmfr?
1/20
Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {s: 9, b: 5, q: 2, l: 2}.
5/17
Calculate prob of picking 2 u when two letters picked without replacement from uuuuuuuuuuuh.
5/6
Three letters picked without replacement from ggxsxsxggxx. What is prob of picking 2 g and 1 x?
2/11
Four letters picked without replacement from {n: 1, y: 5, s: 1, i: 10, x: 3}. What is prob of picking 1 i, 1 x, 1 y, and 1 s?
10/323
Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {s: 3, r: 6, b: 2, l: 1}.
3/11
Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {l: 4, u: 3, v: 2, b: 1}.
4/45
Two letters picked without replacement from {h: 6, x: 4, k: 3}. Give prob of picking 1 h and 1 x.
4/13
Three letters picked without replacement from wqwdwhhqdwd. What is prob of picking 2 q and 1 h?
2/165
What is prob of picking 1 m, 1 c, and 2 v when four letters picked without replacement from {o: 1, m: 1, v: 2, i: 2, c: 2}?
1/35
What is prob of picking 1 f, 1 s, and 1 b when three letters picked without replacement from {p: 1, s: 1, j: 3, b: 3, f: 3}?
3/55
Three letters picked without replacement from {z: 1, v: 2, f: 5, p: 1, h: 1}. What is prob of picking 1 z and 2 v?
1/120
What is prob of picking 4 o when four letters picked without replacement from {e: 1, m: 2, o: 4, f: 3}?
1/210
What is prob of picking 3 c when three letters picked without replacement from mrmccmrmc?
1/84
What is prob of picking 4 j when four letters picked without replacement from jjyyyjjmyjjjyyj?
2/39
Calculate prob of picking 1 v and 2 b when three letters picked without replacement from {k: 7, v: 3, z: 3, x: 2, b: 3, e: 1}.
3/323
Three letters picked without replacement from ojkjphkjkdjjkpjhpp. What is prob of picking 1 k, 1 d, and 1 p?
1/51
Three letters picked without replacement from {i: 2, k: 7, f: 8, g: 1}. Give prob of picking 3 k.
35/816
Four letters picked without replacement from ccrcrrc. What is prob of picking 3 r and 1 c?
4/35
Three letters picked without replacement from glekmrl. Give prob of picking 1 k, 1 l, and 1 r.
2/35
Calculate prob of picking 1 x, 1 u, and 1 a when three letters picked without replacement from axfaquqaa.
1/21
What is prob of picking 2 p when two letters picked without replacement from pppppp?
1
Three letters picked without replacement from llelel. Give prob of picking 3 l.
1/5
Calculate prob of picking 3 n when three letters picked without replacement from {u: 1, b: 1, v: 9, n: 8}.
56/969
Calculate prob of picking 4 u when four letters picked without replacement from uiuiiiiuuiiiiiiiiuii.
1/969
Calculate prob of picking 1 s, 1 h, and 1 j when three letters picked without replacement from jhsptph.
2/35
What is prob of picking 1 p and 1 m when two letters picked without replacement from {l: 1, p: 10, h: 1, q: 4, m: 2}?
20/153
Three letters picked without replacement from {i: 5, r: 4, q: 2, u: 1, j: 5, n: 3}. What is prob of picking 1 n and 2 j?
1/38
What is prob of picking 4 s when four letters picked without replacement from {m: 15, s: 5}?
1/969
What is prob of picking 2 q when two letters picked without replacement from {y: 5, q: 4, i: 2}?
6/55
Four letters picked without replacement from {t: 1, j: 1, m: 4, p: 1, w: 4}. What is prob of picking 1 t and 3 m?
2/165
Two letters picked without replacement from {c: 7, f: 5, j: 1}. What is prob of picking 1 f and 1 j?
5/78
Two letters picked without replacement from wtwwfhrrwatfarrwhr. What is prob of picking 2 a?
1/153
Four letters picked without replacement from {n: 5, v: 4, z: 3, q: 5, l: 2}. What is prob of picking 1 v and 3 n?
10/969
What is prob of picking 2 r when two letters picked without replacement from {l: 1, r: 2, d: 1, c: 3, g: 3, u: 2}?
1/66
What is prob of picking 2 v and 1 j when three letters picked without replacement from cicccvjcjivciiiiicvi?
1/190
What is prob of picking 1 b and 1 h when two letters picked without replacement from abibhhahaahhrbraaoo?
5/57
Three letters picked without replacement from xhxxxxxxxhxx. What is prob of picking 1 h and 2 x?
9/22
Two letters picked without replacement from retttretretttere. Give prob of picking 1 r and 1 t.
7/30
Two letters picked without replacement from {m: 2, a: 1, w: 1, o: 1}. What is prob of picking 1 w and 1 a?
1/10
What is prob of picking 3 z when three letters picked without replacement from {s: 1, z: 3}?
1/4
Two letters picked without replacement from {g: 1, d: 1, b: 2, u: 2, v: 1}. Give prob of picking 2 b.
1/21
Two letters picked without replacement from wwhql. What is prob of picking 1 h and 1 w?
1/5
Calculate prob of picking 2 z when two letters picked without replacement from {f: 1, z: 11, p: 2}.
55/91
Calculate prob of picking 3 m and 1 o when four letters picked without replacement from ommmmom.
4/7
Three letters picked without replacement from {x: 3, e: 3, w: 1, i: 5}. Give prob of picking 3 e.
1/220
Three letters picked without replacement from {u: 2, k: 1, g: 1, m: 12, e: 2}.
|
{
"pile_set_name": "DM Mathematics"
}
|
the closest to 9.1 in -0.2, -55, -2, 2, -3?
2
What is the closest to 0.1 in 130, 0.06, -2/3, 6/31, 5?
0.06
What is the nearest to -1/4 in 6/115, -1, 6, 5, 4?
6/115
Which is the closest to -7? (a) 0.00233 (b) 6 (c) -0.2 (d) -1
d
Which is the closest to 0? (a) 0.3 (b) -2/7 (c) -2/9 (d) -10/47 (e) 10/3 (f) 0.0673
f
What is the closest to 0.11325 in -1/3, 21, 2/11?
2/11
Which is the nearest to -4? (a) 0.2 (b) -13755 (c) -5 (d) -0.3 (e) -2/3
c
What is the closest to -0.22 in 3464, 0.14, 4?
0.14
What is the closest to 0.1 in 5, 0.2, 11, -2, -37/88?
0.2
Which is the nearest to 0? (a) 5 (b) 3/10 (c) 0 (d) 2.8 (e) 51
c
Which is the nearest to 44? (a) -1.605 (b) 1/8 (c) -2 (d) -1
b
Which is the nearest to -1? (a) 0 (b) -0.2 (c) -1/6305 (d) -0.3 (e) 2/31 (f) 0.2
d
Which is the nearest to -0.014? (a) 0 (b) 6/13 (c) 2/27 (d) -4
a
What is the closest to 0 in 20/7, 342, -2/5, 3/7, 2?
-2/5
What is the nearest to 1 in -0.793, 0.01, -2/7, -818?
0.01
What is the closest to 1 in 2, 13/439, -1/3?
13/439
Which is the closest to -1? (a) 0.2 (b) 0 (c) -7552 (d) -0.9 (e) -3/5
d
Which is the nearest to -2/5? (a) -2 (b) -0.18 (c) -3/2 (d) 0.3 (e) -2.1 (f) 32/3
b
Which is the nearest to -1? (a) 1834 (b) 4 (c) 0.4 (d) -4/3 (e) -1.3
e
What is the closest to 0.01 in 0.3, -5695, -3/4, -0.7, -2?
0.3
Which is the closest to -1? (a) 0.02 (b) -249 (c) 3/17
a
Which is the nearest to 11/5? (a) 0.5 (b) 0 (c) 1 (d) 4 (e) 0.04 (f) 15
c
What is the closest to -2.49 in -2, 25, 12, -0.8, -3?
-2
Which is the closest to -3.20363? (a) -10 (b) 2/13 (c) 8
b
Which is the closest to -5? (a) 4/23 (b) -1/5 (c) 5 (d) 32 (e) 3 (f) 162
b
What is the nearest to -198 in 24, -6/5, 3/5, 2/43, 3?
-6/5
What is the closest to 533 in 2, 1/32, 0.3, 5/64?
2
What is the nearest to -11 in 0.654, -2/9, -815?
-2/9
What is the closest to 0 in 7, 3/4, -173, -4.96?
3/4
What is the nearest to -3 in -78, 628, 4, -1/7, 0.2, -0.5?
-0.5
What is the closest to -2/2059 in 3, -5/4, 2/91?
2/91
Which is the nearest to 37? (a) 1590 (b) 15 (c) 3 (d) 0.7 (e) 0.4
b
Which is the nearest to 14/3? (a) -8 (b) 26.9 (c) 43
a
What is the closest to 8 in -1/9, 232/9, 6, 4?
6
Which is the nearest to 1204? (a) -0.17 (b) 0.24 (c) 4
c
Which is the closest to 0.1? (a) 1/3 (b) 1649 (c) -56 (d) 2/13 (e) -0.4
d
Which is the closest to -1? (a) -2.4 (b) 5 (c) -8 (d) -1/6 (e) 3115 (f) -4
d
Which is the nearest to 5/6? (a) -0.1 (b) -51 (c) -3 (d) 864
a
Which is the nearest to 0.14? (a) -9 (b) -5/14 (c) 2 (d) 1 (e) 6
b
Which is the closest to 18? (a) 1094 (b) 1 (c) -1/9 (d) 56 (e) -2/9
b
Which is the nearest to 0.2? (a) -10 (b) 2 (c) -4 (d) 9 (e) 1.75 (f) 0.4
f
Which is the nearest to -0.6? (a) -4 (b) 1/4 (c) 4 (d) 0.1 (e) 0.051507 (f) 0.3
e
What is the closest to 0 in 5, 2/9, 54.56, 141?
2/9
Which is the nearest to -38/2775? (a) -0.5 (b) -5 (c) 0.5 (d) -8 (e) 0.22 (f) 5/3
e
Which is the nearest to -2? (a) -2 (b) 23 (c) 135 (d) -0.5
a
Which is the closest to -602/125? (a) 1 (b) -2/15 (c) -0.02
b
Which is the nearest to -6? (a) 2.2 (b) 2 (c) 0.0942 (d) 1 (e) 0.1
c
What is the nearest to -0.1 in 1/4, -0.4, -73, -0.124, 0.3?
-0.124
Which is the nearest to -58/15? (a) 6/79 (b) 2 (c) -2 (d) -0.4
c
Which is the nearest to 5? (a) -3 (b) 160 (c) -0.01 (d) -0.1 (e) 8
e
What is the closest to -0.1 in 14, 0.074, 15/7, -17, -1/2?
0.074
Which is the closest to 2333? (a) 3 (b) 2 (c) 0.4 (d) 223
d
What is the closest to 2/7 in -0.0405, 0.5, 5.781?
0.5
Which is the nearest to -104? (a) 3/5 (b) -1 (c) -2341/17
c
Which is the closest to 1? (a) -1/7 (b) -2/3 (c) 6633
a
Which is the closest to -1? (a) 0 (b) 50620 (c) -4 (d) -910
a
Which is the closest to -1/4? (a) 3 (b) -1 (c) -1.2 (d) 2/11 (e) 2186
d
Which is the nearest to 158? (a) -2 (b) -2/53 (c) 0 (d) -7/8 (e) 4
e
Which is the nearest to 90? (a) -1/2 (b) -0.3 (c) 5 (d) -2.5089
c
Which is the nearest to 2/5? (a) -530253 (b) 1/2 (c) -0.5
b
Which is the closest to 3753? (a) 2 (b) 2/5 (c) -2/3 (d) 4 (e) 5/142
d
Which is the closest to 6? (a) 2/9 (b) -0.04 (c) 1/12 (d) 37/460 (e) 2/3
e
Which is the nearest to -0.4352? (a) -6 (b) 4 (c) -6/13
c
What is the closest to -23 in -17/7, 2/71, 43/3?
-17/7
What is the nearest to -0.4 in 0.6, 0.06, -2/3, -35.3?
-2/3
What is the nearest to -80 in 1/16, 2, -1/3, 4, 10?
-1/3
What is the nearest to -3/2 in -6, -7, -0.5, -1/1801, 2?
-0.5
Which is the nearest to 814? (a) -2/65 (b) 9 (c) -14
b
What is the nearest to 0 in -1302257, 5, 0.2?
0.2
Which is the nearest to 2? (a) -2/495 (b) 1924 (c) 1
c
What is the nearest to -1 in 7, 65, 2, -6/11?
-6/11
What is the nearest to -27 in 0.4, 4, -34064?
0.4
What is the closest to 0.01 in -1/4, -1, 3, -12, 629?
-1/4
Which is the closest to -2? (a) 0.1 (b) 6 (c) 70/17 (d) -1 (e) -0.5
d
Which is the nearest to -1.14? (a) 2356 (b) -0.2 (c) 6/11 (d) 6 (e) 4
b
What is the nearest to 2/7 in -2/19, -21.6, 48, -15/17?
-2/19
Which is the nearest to -1/3? (a) -0.3 (b) -0.061 (c) 0.04 (d) -4 (e) -2 (f) 1/14
a
Which is the nearest to -10? (a) -1.3 (b) 52634 (c) -0.4
a
Which is the closest to 0? (a) 0.5 (b) -1/7 (c) -139 (d) -20/9
b
What is the nearest to -1/4 in -2/3, -5, 101, -1.1, -1/24, -111?
-1/24
What is the closest to -1 in 47/5, 197, 0?
0
Which is the closest to -0.028? (a) 6/17 (b) 0.04249 (c) -3/7
b
Which is the closest to 0.051? (a) -4 (b) -2 (c) 1 (d) 2/197 (e) 276 (f) 0.2
d
What is the closest to 11/6 in 3769, -102, -4, -2/7?
-2/7
What is the closest to 0.2 in -3, -4/7, 3.1, -406, 0.5?
0.5
What is the nearest to -4 in 0.83, 16, 11.6, 1/5?
1/5
What is the nearest to -1 in 193, 4, -33, 2/7, 1/4?
1/4
What is the closest to -0.9 in -39/4, 5/2, 178/7, 4/7, 2/23?
2/23
What is the nearest to 12 in -1/59, -1/5, -0.4, -2/27?
-1/59
What is the closest to -1/2 in -1/7, 3, -6782, -50, -3?
-1/7
What is the nearest to -5 in 53210, 14, -0.1?
-0.1
What is the closest to 1 in 2/3, 3/8, -55286, 0?
2/3
What is the closest to 0.3 in -0.2, -1499, 2, 0.4, 2/3?
0.4
Which is the closest to 2/9? (a) 37 (b) -132 (c) 31
c
Which is the closest to 250.9? (a) 3 (b) 0.4 (c) 8 (d) -3
c
Which is the closest to -73? (a) -19229 (b) 0.5 (c) -5
c
What is the closest to -0.2 in 13/3, -3, 5, 727, -2?
-2
What is the nearest to 1/3 in 1/4, 0.3, 5, 22303, -2/3?
0.3
Which is the nearest to -7? (a) 34 (b) -565 (c) -10.4
c
What is the nearest to -2/3 in -138/289, 4, 2, -2?
-138/289
Which is the closest to -15? (a) -2/7 (b) 226 (c) 1 (d) 0 (e) -4
e
What is the nearest to 0.13 in 21, -197/5, -1/6?
-1/6
What is the closest to 0 in 20, 2/5, -1, -5.6?
2/5
What is the nearest to 310 in 4, -0.1, -1/2, 1, 1590?
4
Which is the nearest to -0.1? (a) 67 (b) -2 (c) 2/43 (d) 2
c
What is the nearest to 0.05 in -68, -4/7, -25, 18?
-4/7
Which is the closest to 0.78? (a) -6 (b) 3 (c) 1.41
c
What is the nearest to -3 in -7, 2/15, -2, -6.73?
-2
Which is the closest to -1/2? (a) 3 (b) -73 (c) -2 (d) -4/7 (e) -5 (f) 0.1
d
Which is the nearest to -2.75? (a) 20339 (b) 2 (c) 0.5
c
What is the closest to 7 in -701, -8, 2/5, 0.18?
2/5
What is the nearest to -73 in -0.02, 1.35, -3.6?
-3.6
Which is the closest to 130/7? (a) -2/3 (b) 2/3 (c) -0.4 (d) 6
d
What is the nearest to 0.2 in 7/10, 1/4, 5?
1/4
Which is the nearest to -2/3? (a) 487.6 (b) 0.3 (c) 63 (d) -2/3 (e) -0.5
d
What is the closest to 0.2 in 0.0385, 73069, -0.2?
0.0385
What is the closest to -472 in -222, 3, 4/5?
-222
Which is the closest to 299? (a) -0.6 (b) 175 (c) 0.8
b
What is the closest to -2 in -3239/233, -1/5, -2?
-2
What is the nearest to 4 in -1508, -3/7, 3.7, -11?
3.7
What is the closest to 18.13 in 0.5, 0.4, 2, 4?
4
Which is the nearest to 0.31? (a) -0.0369 (b) -4 (c) 1/7 (d) -20
c
Which is the closest to -2? (a) 4162/83 (b) -1/10 (c) -1
c
What is the nearest to 0 in -167.51, 2/5, -3, -4, 5?
2/5
Which is the nearest to 1? (a) 2/3 (b) 2802 (c) 1/4 (d) 173
a
What is the nearest to 1/2 in 0.4, -3/32, -565/3?
0.4
What is the closest to -2/19 in -0.2, -174, -5, 0.103, 1/8?
-0.2
Which is the nearest to -2/5? (a) -4 (b) 324 (c) -41042 (d) 4/5
d
What is the nearest to
|
{
"pile_set_name": "DM Mathematics"
}
|
p(z).
z**3 + 46
Let s(m) = 39*m**3 - 7*m**2 + 21*m + 7. Let c(t) = 20*t**3 - 4*t**2 + 11*t + 4. Give 7*c(i) - 4*s(i).
-16*i**3 - 7*i
Let q(m) = -5*m + 2. Let z(w) = 13*w - 12. Let o(g) = 4*q(g) + z(g). Let p(h) = -6*h - 3. Determine -2*o(v) + 3*p(v).
-4*v - 1
Let i(n) = -2*n - 7. Let d be (1/(-2))/((-3)/12). Suppose 5*f + 3*z + 25 = -d*z, 0 = -5*f + 2*z - 25. Let q(a) = -a - 1. What is f*q(u) + i(u)?
3*u - 2
Let f(x) = -x - 4. Let o(v) = -v**2 - 4*v - 3. Let z be o(-4). Let t(g) = g + 5. Determine z*t(a) - 4*f(a).
a + 1
Let f(c) = -5*c**3 - 3*c**2 - c + 2. Let t(q) be the first derivative of 19*q**4/4 + 11*q**3/3 + 2*q**2 - 7*q + 243. Determine -22*f(r) - 6*t(r).
-4*r**3 - 2*r - 2
Let o(k) = -101*k + 3. Let n(g) = -34*g + 1. Determine 17*n(l) - 6*o(l).
28*l - 1
Let m(i) = 3*i**2 - 5*i + 5. Let f(w) = -3*w**2 + 4*w - 4. Let g be 11/(77/21) + (-63)/7. Give g*f(b) - 5*m(b).
3*b**2 + b - 1
Let f(o) = -3*o**3 - 39*o**2 - o - 1. Let q(v) = v**3 + v**2 + v + 1. What is -f(w) - q(w)?
2*w**3 + 38*w**2
Let w(t) = -4 + 3 + 8 + 3*t. Let n be 4/3*(5 - (5 + (-33)/(-11))). Let k(f) = -f - 2. Determine n*w(s) - 14*k(s).
2*s
Let c(l) = 5*l + 9. Let h(g) = 9*g + 16. Let r(u) = 11*c(u) - 6*h(u). Let k(o) = 2*o + 5. Give 3*k(y) - 5*r(y).
y
Let z(h) = 25*h**2 + 3. Let a(n) = 1. What is 3*a(o) - z(o)?
-25*o**2
Let a(z) = z**3 - z**2 + 1. Let r(w) = -w**3 - 4*w**2 + 3*w + 3. Give -4*a(v) + r(v).
-5*v**3 + 3*v - 1
Let u(f) = -1 - 2 + 2 - f. Let a(h) = -h**3 + 7*h**2 + 23. Let o be a(7). Suppose -32*i = -o*i - 9. Let g(d) = -d**3 - 3*d - 4. Give i*g(b) - 4*u(b).
-b**3 + b
Let v(j) = 4*j. Let m(y) = -2*y. Let r(i) = -5*i + 1 + i + 14 - 5. Let b be r(4). Give b*v(f) - 11*m(f).
-2*f
Let n(d) = -4*d**3 - 3*d**2 - 2*d. Let c(u) be the second derivative of -17*u**5/20 - u**4 - 4*u**3/3 + 122*u. Give 2*c(h) - 9*n(h).
2*h**3 + 3*h**2 + 2*h
Let j(w) = -26*w**2 - 7*w + 5. Let m(l) = 13*l**2 + 3*l - 2. Give -2*j(s) - 5*m(s).
-13*s**2 - s
Suppose 4*u = 5*b + 2*u + 5, 0 = -4*b - u + 9. Let h(o) = -o + 5*o**2 - b + 6*o - 8*o + 2. Let l(w) = 9*w**2 - 6*w + 2. Determine 5*h(t) - 3*l(t).
-2*t**2 + 3*t - 1
Let a(w) = -8*w - 1 + 12*w - 3*w. Let b(v) = -v - 7. Calculate 6*a(u) - b(u).
7*u + 1
Suppose 4*r + 4*c = 9*c - 35, 0 = -2*r + c - 13. Let m(s) = -13*s**2 + 4*s - 2. Let x(z) = -6*z**2 + 2*z - 1. Give r*x(a) + 2*m(a).
4*a**2 - 2*a + 1
Let j(y) = -94*y**3 + 10*y**2 - 20. Let o(b) = -b**2 + 2. Give j(m) + 10*o(m).
-94*m**3
Let y = -112 + 100. Let w be ((-5)/2)/((-6)/y). Let k(z) = 9*z**2 + 3*z - 1. Let j(c) = 13*c**2 + 4*c - 2. Give w*j(h) + 7*k(h).
-2*h**2 + h + 3
Let a be (-9)/(-6)*4/(-6). Let p = 2 + a. Let k = 168 - 186. Let b(h) = -h**3 - h + 1. Let y(f) = -21*f**3 - 18*f + 18. Calculate k*b(t) + p*y(t).
-3*t**3
Let j(h) = -h + 1. Let c(u) = 27*u + 1. Give c(f) - 6*j(f).
33*f - 5
Suppose 24 - 4 = 5*r. Suppose -r*t = -2*t. Let g(c) = -3 + 0 - 3 + t - 5*c**3. Let k(o) = 9*o**3 + 11. Give -11*g(l) - 6*k(l).
l**3
Let v be (-42)/(-4)*60/(-35). Suppose -48 = -6*w + 2*w. Let r = w + v. Let n(b) = -2*b + 8. Let t(z) = 1. Give r*t(a) + n(a).
-2*a + 2
Let g(q) = -3*q + 15. Let u(y) = -2. Determine g(s) + 6*u(s).
-3*s + 3
Let l(a) = -9*a + 36. Let j(y) = -10*y + 33. What is -6*j(z) + 7*l(z)?
-3*z + 54
Let g = 18 - 27. Let c(u) = 6*u + 32. Let v be c(g). Let r(p) = -2*p**3 + 11*p + 11. Let z(k) = k + 1. Determine v*z(b) + 2*r(b).
-4*b**3
Let j(t) = 16*t**3 + 5. Let s(u) = -9 + 3 + 4*u**3 + 7. Determine -2*j(l) + 9*s(l).
4*l**3 - 1
Let c(i) = 17*i. Let z(t) = -t + 3. Let s(k) = -1. Let y(u) = 3*s(u) + z(u). What is -c(f) - 2*y(f)?
-15*f
Let y(u) = 5*u**3 - 3*u**2 + 7*u. Let j(w) = -14*w**3 + 8*w**2 - 21*w - 1. Calculate -3*j(l) - 8*y(l).
2*l**3 + 7*l + 3
Let d(s) = -5. Let k = 1971 + -1965. Let x(z) be the first derivative of -k*z + 1/2*z**2 + 8. Determine 4*d(g) - 3*x(g).
-3*g - 2
Let v(b) = -b**3 + 5*b**2 + 3*b - 5. Let y(r) = r**2 - 1. Let k(q) = q**3 - 4*q**2 + 4*q. Let j be k(6). Let f = j + -95. What is f*v(l) - 5*y(l)?
-l**3 + 3*l
Let h(b) = 7 - 2 - 2 + 3*b + 11. Let c(u) be the third derivative of u**4/24 + 5*u**3/6 + 36*u**2. Determine 17*c(t) - 6*h(t).
-t + 1
Let d(b) = -192 + 187 + 2*b - 4*b**2 + 3*b + 6*b**2 + 2*b**3. Let a(z) = 2*z**3 + 2*z**2 + 4*z - 6. What is -5*a(q) + 6*d(q)?
2*q**3 + 2*q**2 + 10*q
Let q(i) = 274*i - 13. Let l(r) = -93*r + 4. Give -7*l(f) - 2*q(f).
103*f - 2
Let i(d) = 5*d**2 - 7*d + 3. Let l(b) = 2*b**2 - 3*b + 1. Calculate 4*i(o) - 9*l(o).
2*o**2 - o + 3
Let l(a) be the first derivative of a**3/3 + a**2 - 201. Let x(h) = h**2 + h. Suppose 0 = -0*s - 7*s - 35. Determine s*x(c) + 3*l(c).
-2*c**2 + c
Let r(q) = 6*q + 13. Let b(k) = 4*k + 2. Determine -5*b(n) + r(n).
-14*n + 3
Let n(d) = d + 38. Let s(v) = 6*v + 267. Calculate 15*n(j) - 2*s(j).
3*j + 36
Let m(d) be the first derivative of -5*d**4 - 8*d**3/3 + d**2/2 - 8*d - 137. Let i(s) = 13*s**3 + 5*s**2 - s + 5. Give -8*i(f) - 5*m(f).
-4*f**3 + 3*f
Let i(p) = -9*p**3 - 6*p**2 - 4. Let y(j) = -10*j**3 - 5*j**2 - 3. Determine -3*i(n) + 4*y(n).
-13*n**3 - 2*n**2
Let m(g) = 5*g**2 - 4*g. Suppose 0 = -7*o - 1966 + 1959. Let h be 4/14 + 26/7. Let s(b) = b**2 - b. Calculate h*s(z) + o*m(z).
-z**2
Let h(u) = 2*u**2 - 3*u - 2. Let l = -32 - -25. Let w(z) = -8*z**2 + 7*z + 15. Let o(g) = 4*g**2 - 3*g - 8. Let a(v) = 7*o(v) + 4*w(v). What is l*h(r) - 3*a(r)?
-2*r**2 + 2
Let c be (-5 + (-18)/(-4))*(-6 - -4). Let p(r) = 9*r**2 - 15. Let h(a) = -1. Calculate c*p(x) - 15*h(x).
9*x**2
Let r(w) = -13*w**2 - 91*w. Let o(s) = -6*s**2 - 45*s. Calculate -9*o(c) + 4*r(c).
2*c**2 + 41*c
Let n(l) = 1589*l - 21. Let k(w) = 159*w - 2. Give 21*k(r) - 2*n(r).
161*r
Let t(q) = -5*q - 2. Let h(w) = 4*w + 1. Let c be -6 - ((-5)/30*0)/1. Give c*t(j) - 7*h(j).
2*j + 5
Let b(w) = -11*w - 24. Let z(h) = -14*h - 26. Calculate 5*b(u) - 4*z(u).
u - 16
Let q(h) = h**3 + h**2 - h. Let n(c) = 4*c**3 - c - 1 - 390*c**2 + 788*c**2 - 395*c**2 - 3. Calculate n(r) - 3*q(r).
r**3 + 2*r - 4
Let p(u) = u**2 + u. Let q(f) = -14*f**2 - 4*f. Determine -20*p(m) - 5*q(m).
50*m**2
Let y(h) = -h**2. Let i(o) = -28*o**2. Let t be 1/(-2)*(2 - 0/(-4)). Determine t*i(m) + 35*y(m).
-7*m**2
Let n(k) = -k. Let s(d) = -2. Suppose i - 10 = -3. Suppose -i*j + 56 = -11*j. Let p = -13 - j. Give p*n(x) - s(x).
-x + 2
Let p(b) = -b**3 - b - 1. Let c(x) = 274*x**3 + 411*x + 411. What is -c(i) - 411*p(i)?
137*i**3
Let c(w) = w + 1. Let x = -1 + -1. Let l(a) be the first derivative of -a**2/2 - 3*a + 367. Determine x*c(s) - l(s).
-s + 1
Let h(t) = 195*t**2 + 4*t + 8. Let r(z) = -47580*z**2 - 975*z - 1950. Give -975*h(w) - 4*r(w).
195*w**2
Let c(f) = 72*f**3 + 5*f**2 - 9*f - 10. Let o(m) = 33*m**3 + 2*m**2 - 4*m - 5. What is 2*c(l) - 5*o(l)?
-21*l**3 + 2*l + 5
Let j(n) = 5*n + 9. Let i(o) = 2 + 1 - 1 + 0 + o. Let m(q) = 9*i(q) - 2*j(q). Let b = -10 - -6. Let t(s) = 6*s - 2. Calculate b*m(h) - t(h).
-2*h + 2
Let j(p) = p. Suppose 3*y = -4*r + 597 + 2025, -3*y + 2*r + 2622 = 0. Let a(z) = -z + 874 - y. What is 6*a(t) + 2*j(t)?
-4*t
Let j(w) be the third derivative of -w**5/60 - w**4/24 - w**3/6 - w**2 + 219*w. Let r(y) = -9*y**2 + y - 3. Determine -j(d) + r(d).
-8*d**2 + 2*d - 2
Let b(z) = -19*z**3 - 4*z**2 + 5*z - 9. Let p(h) = -h**3 - h**2 + h - 2. What is b(g) - 5*p(g)?
-14*g**3 + g**2 + 1
Let t(a) = -20*a**2 + 1. Let g(w) = -w**2. Determine 2*g(h) - t(h).
18*h**2 - 1
Let l(z) = -63*z - 1. Let u(d) = 125*d + 1. Determine -5*l(c) - 3*u(c).
-60*c + 2
Let b(x) = 4 - 17*x + 6*x + 5*x. Let f(s) = 1. Let j(c) = -c. Let v(u) = -f(u) - j(u). Calculate b(z) + 5*v(z).
-z - 1
Let z(x) = -x**2 + 88*x + 662. Let y be z(-7). Let u(s) = 4*s**2 + 4*s. Let t(a) = 5*a**2 + 5*a + 1. Give y*u(w) + 2*t(w).
-2*w**2 - 2*w + 2
Let i(l) be the third derivative of 14*l**2 - 1/6*l**4 - 4/3*l**3 + 0 + 0*l. Let c(m) = -3*m - 7. What is 5*c(o) - 4*i(o)?
o - 3
Suppose 0 = 8*n - 25*n + 51. Let q(k) = k - 1. Let j(s) = 5*s + 3. Give n*q(t) + j(t).
8*t
Let h(w) = 2*w**3 - w**2 + 2*w + 1. Let z(c) = -463*c**3 - 7*c**2 + 12*c + 6. What is -6*h(q) + z(q)?
-475*q**3 - q**2
Let q(i) = -i**2 - i. Let j(h) = -h**2 + 7*h + 1. What is j(a) + 4*q(a)?
-5*a**2 + 3*a + 1
Let q(t) = -2*t**2 - 8*t - 207. Let b(n) = n - 2. Determine 6*b(f) + q(f).
-2*f**2 - 2*f - 219
Suppose 0 = 5*w - 5*v - 3 - 7, 6 = -3*v. Let g(j) = -j + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
2.
63*t**3 - 69*t**2 - 4*t - 6
Collect the terms in 743*h**2 + 314*h**2 + 16*h**3 + 625*h**2 - 22*h**2 - 14*h**3.
2*h**3 + 1660*h**2
Collect the terms in -369*o**2 - 366*o**2 - 356*o**2 - 3865*o**3 + 1456*o**2 - 365*o**2.
-3865*o**3
Collect the terms in 1591*i**2 - 10*i - 629*i**2 + 10*i - 628*i**2 - 305*i**2.
29*i**2
Collect the terms in -623*d**2 + 22*d + 21*d - 10*d + 12*d + 636*d**2.
13*d**2 + 45*d
Collect the terms in -31*t + 573 + 2*t**2 + 986 - 211.
2*t**2 - 31*t + 1348
Collect the terms in 6890*r**3 - 276204*r + 276204*r.
6890*r**3
Collect the terms in 6856*m**2 + 6867*m**2 - 20598*m**2 + 6875*m**2 - 10*m**3.
-10*m**3
Collect the terms in 4473 - x**2 - 14542 + 5033 + 5036 + 3*x**2.
2*x**2
Collect the terms in -71283*d**3 + 34964*d**3 - d**2 + 36328*d**3 + d**2.
9*d**3
Collect the terms in -355426*g**2 - 355424*g**2 - 355428*g**2 + 1066279*g**2.
g**2
Collect the terms in -422506753904*d + 422506753904*d - 19*d**2.
-19*d**2
Collect the terms in -6*y**2 + 6*y**2 - 3632932*y**3 + 3621301*y**3.
-11631*y**3
Collect the terms in -1 + 2657*d**2 - 7760*d**2 + 2735*d**2 + 3 + 2561*d**2.
193*d**2 + 2
Collect the terms in 18130450*v - 9065218*v - 9065162*v.
70*v
Collect the terms in 68 + 13*s - 77 - 18.
13*s - 27
Collect the terms in 36609*f + 133402*f + 22128*f.
192139*f
Collect the terms in 88187*q**3 - 215758*q**3 + 111840*q**3.
-15731*q**3
Collect the terms in 68 - 327*r**2 - 68 - 362*r + 389*r.
-327*r**2 + 27*r
Collect the terms in -647*f - 571*f - 649*f + 1881*f.
14*f
Collect the terms in -254 + 2*l**2 - 253 + 850 - 246 - 93.
2*l**2 + 4
Collect the terms in 10973*g**2 + 10963*g**2 + 99*g - 21939*g**2.
-3*g**2 + 99*g
Collect the terms in 166*j**2 + 85 - 249 + 88 + 75.
166*j**2 - 1
Collect the terms in 2 + 37555*r + 6 - 10 + 2.
37555*r
Collect the terms in -166*o - 164*o - 156*o - 218*o - 165*o + 868*o.
-o
Collect the terms in 49*s**2 - 107*s**2 + 100 + 151*s**2 + 29*s**2 - 257 - 2*s.
122*s**2 - 2*s - 157
Collect the terms in 76 + 1300*l**2 - 1293*l**2 - 151 + 69.
7*l**2 - 6
Collect the terms in 28 + 24 - 73 + 21 + 276846*d**3.
276846*d**3
Collect the terms in -58 + 170*z**2 + 155*z**2 - 515*z**2 + 188*z**2.
-2*z**2 - 58
Collect the terms in 37*z + z**2 + 201 - 63 + 206 - 542 + 198.
z**2 + 37*z
Collect the terms in -29*s + 11*s**2 - 16*s**2 + 41*s + 170 - 8*s**2.
-13*s**2 + 12*s + 170
Collect the terms in -9*b - 19*b + 34*b + 678333 - 339238 - 339095.
6*b
Collect the terms in -147 + 1355*x**3 + 1044*x**3 - 296*x + 296*x + 18*x**2.
2399*x**3 + 18*x**2 - 147
Collect the terms in -17*i - 9*i + 28*i - 603*i**2 + 14*i**2.
-589*i**2 + 2*i
Collect the terms in 3 - 3*b**2 + 1038*b**3 + 2*b**2 - 2072*b**3 + 1057*b**3.
23*b**3 - b**2 + 3
Collect the terms in 218*h - 2*h**2 + 40*h + 18 + 0*h**2 + 5*h + h.
-2*h**2 + 264*h + 18
Collect the terms in -756*x - 29 + 702*x + 2*x**2 + 168.
2*x**2 - 54*x + 139
Collect the terms in 260 + 61*p - 85 - 85 - 89 - 31*p.
30*p + 1
Collect the terms in -749167081*h**2 - 213*h - 3*h**3 + 749167081*h**2.
-3*h**3 - 213*h
Collect the terms in -1540*h**2 + 1635*h**2 + 1567*h**2 + 4315*h**2 + 1464*h**2.
7441*h**2
Collect the terms in 1393413 - 145*w**2 - 1393413.
-145*w**2
Collect the terms in j**2 + 4*j**3 - 13 + 8 - 231*j + 6*j**2 + 126*j - 143*j.
4*j**3 + 7*j**2 - 248*j - 5
Collect the terms in 6196*m**3 - 5482*m - 77750*m**3 + 5482*m.
-71554*m**3
Collect the terms in 2 + 161*m + 8 - 20 + 10.
161*m
Collect the terms in 58*f**3 - 56*f**3 + 929*f - 2060*f + 1131*f.
2*f**3
Collect the terms in -20 + 220 + 11*b + 24 - 80*b + 11*b + 54*b.
-4*b + 224
Collect the terms in 28094*a - 75*a**2 + a**3 - 28094*a.
a**3 - 75*a**2
Collect the terms in 39 - 251228805032*i + 251228805032*i - i**2.
-i**2 + 39
Collect the terms in -147*p + 3*p**2 + 172 - 172 - 151*p - 10*p**2.
-7*p**2 - 298*p
Collect the terms in 273*h**3 + 32*h - 543*h**3 - 24*h + 257*h**3 - 8*h.
-13*h**3
Collect the terms in -18929*c + 2900*c + 16034*c.
5*c
Collect the terms in 4*f - 4*f + 60852*f**2 + 60939*f**2 - 120472*f**2.
1319*f**2
Collect the terms in -1207*k - 7386 - 2121*k + 7393.
-3328*k + 7
Collect the terms in 0*h + 172*h**2 + 4*h - 217*h**2 + 3*h.
-45*h**2 + 7*h
Collect the terms in -2*i**2 + 6 - 22 + 28 + 98.
-2*i**2 + 110
Collect the terms in -31273936*l - 11*l**3 + 31273936*l.
-11*l**3
Collect the terms in -1874*a + 9657*a - 4030*a - 1875*a - 1880*a.
-2*a
Collect the terms in -85*t**3 + 87*t**3 + 134*t**3 + 129*t**3 + 28*t**3.
293*t**3
Collect the terms in 9 + 11 - 20 - 28830*w - 363647*w.
-392477*w
Collect the terms in 5*u**2 - 7*u**2 - u**3 - 1115*u + 351711 - 351711.
-u**3 - 2*u**2 - 1115*u
Collect the terms in 14901 - 29717 + 13*c + 14816 - c**2 - 9*c - 4*c.
-c**2
Collect the terms in -56 - 57 - 3680*v**2 - 46 + 158.
-3680*v**2 - 1
Collect the terms in 13*t - 7*t - 8*t + 22110*t**3 + 11196*t**3 - 1.
33306*t**3 - 2*t - 1
Collect the terms in 40360*l**3 - 256676*l**3 - 122*l**2 - 117*l**2 + 240*l**2.
-216316*l**3 + l**2
Collect the terms in -45*t**3 - 70*t**3 + 200*t**3 + 152*t**3 + 181*t**3.
418*t**3
Collect the terms in 28*r - 210*r + 1 + 158*r - 4 + 366*r.
342*r - 3
Collect the terms in 7*o - 7*o + 5823*o**2 - 5679*o**2.
144*o**2
Collect the terms in -29 + 65 - 126*u - 22 + 131*u - 21.
5*u - 7
Collect the terms in 2697559*h**2 + 75*h + 18*h**3 - 19*h**3 - 2697559*h**2.
-h**3 + 75*h
Collect the terms in -149*s**2 + s - 48*s**2 - 15*s - 30*s**2 + 14*s.
-227*s**2
Collect the terms in 157 - 29519*q**2 - 157 + 29519*q**2 + 2*q**3.
2*q**3
Collect the terms in 1368 - 456 + 65*s - 455 - 459.
65*s - 2
Collect the terms in 83335*n**2 - 20848*n**2 - 20860*n**2 - 20839*n**2 - 20838*n**2.
-50*n**2
Collect the terms in -52*m**3 - 6*m + 69*m - 9*m - 17*m - 34*m - 338*m**3.
-390*m**3 + 3*m
Collect the terms in 153*c**2 + 49*c + 65*c + 259*c**3 - 153*c**2 - 262*c**3.
-3*c**3 + 114*c
Collect the terms in 760*s + 110*s**3 - 659*s**3 - 1148*s**3.
-1697*s**3 + 760*s
Collect the terms in 1 - 453*p**2 - 7*p**2 - 1 + 36*p**2 - 172*p**2.
-596*p**2
Collect the terms in 17354 - 17354 + 3246*p**2.
3246*p**2
Collect the terms in -34962*j**2 - 22238*j**2 - 1697*j**2 - 36323*j**2 + 17392*j**2.
-77828*j**2
Collect the terms in 26434*l**2 + 4*l + 12*l**3 + 5*l**3 - 19*l**3.
-2*l**3 + 26434*l**2 + 4*l
Collect the terms in w**3 - 33868407716*w + 33868407716*w.
w**3
Collect the terms in 3968*c**3 - 12001*c**3 + 4011*c**3 + c**2 + 4014*c**3.
-8*c**3 + c**2
Collect the terms in -402*z**2 - 395*z**2 - 393*z**2 + 1617*z**2 - 411*z**2.
16*z**2
Collect the terms in 3797*c**3 - 1889*c**3 - 1919*c**3.
-11*c**3
Collect the terms in -820*s - 807*s + 1660*s - 39*s.
-6*s
Collect the terms in 3 - 1 + 3529*x**2 - 1 + 3523*x**2 - 2266*x**2.
4786*x**2 + 1
Collect the terms in -150 + 323 + 56621*t - 173.
56621*t
Collect the terms in 6514*v**3 - 1683*v**3 - 1738*v**3 - 1325*v**3 - 1120*v**3.
648*v**3
Collect the terms in 40 - 40 + 45425*t - t**2.
-t**2 + 45425*t
Collect the terms in -855*t - 59 + 233 + 504*t + 2534*t.
2183*t + 174
Collect the terms in -122 + o + 206 - 141 + 57 - 31*o.
-30*o
Collect the terms in -9884*k - 9910*k + 29516*k - 9825*k.
-103*k
Collect the terms in 2*t - 2352 - 2498 - 2495 + 12342 - 2496 - 2501.
2*t
Collect the terms in 3684 + 2*x - 7693 + 4706.
2*x + 697
Collect the terms in -13923*u - 13928*u + 41783*u - 13914*u.
18*u
Collect the terms in 60 + 144*z - 215*z - 81*z - 60.
-152*z
Collect the terms in 126*v**2 - 804926075*v + 804926075*v.
126*v**2
Collect the terms in 11139*m**2 - 22389*m**2 + 11059*m**2 + m.
-191*m**2 + m
Collect the terms in 0 - 32 + 89 + 8*d - 58.
8*d - 1
Collect the terms in 814 - 3*g + 1584 - 257.
-3*g + 2141
Collect the terms in 3831*x - x**2 - 7297*x + 3686*x.
-x**2 + 220*x
Collect the terms in -5*n**3 + 17*n - 17*n + 2*n**3 + 66 - 74.
-3*n**3 - 8
Collect the terms in 2608*b**3 + 3518 - 3518 + 2604*b**3 - 7821*b**3 + 2611*b**3.
2*b**3
Collect the terms in 49*z - 296*z**3 + 13 + 36*z - 32 + 19.
-296*z**3 + 85*z
Collect the terms in -561*r + 233*r + 209*r + 158*r.
39*r
Collect the terms in 248*d**3 - 163*d**3 - 432*d**3 - 9*d + 10*d**2 + 5*d - 660*d**3 - 2.
-1007*d**3 + 10*d**2 - 4*d - 2
Collect the terms in 58*i - 85*i + 13*i - 49 + 10*i + 211.
-4*i + 162
Collect the terms in 225 + 228 - 1283*u**3 - 906 + 232 + 221.
-1283*u**3
Collect the terms in -32 + 22
|
{
"pile_set_name": "DM Mathematics"
}
|
5 and 5.
5
Calculate the greatest common factor of 5 and 85.
5
Calculate the greatest common divisor of 192 and 12.
12
What is the highest common factor of 14 and 1834?
14
What is the highest common divisor of 192 and 1024?
64
What is the highest common factor of 860 and 160?
20
Calculate the greatest common factor of 180 and 12465.
45
What is the highest common factor of 15 and 33?
3
What is the highest common divisor of 1460 and 190?
10
What is the highest common factor of 42 and 84?
42
What is the greatest common divisor of 38 and 95?
19
Calculate the greatest common factor of 1826 and 44.
22
Calculate the highest common factor of 9309 and 87.
87
What is the greatest common divisor of 975 and 130?
65
Calculate the highest common factor of 90 and 555.
15
Calculate the greatest common factor of 804 and 12.
12
What is the highest common factor of 396 and 216?
36
What is the greatest common divisor of 39 and 117?
39
Calculate the greatest common divisor of 12 and 228.
12
Calculate the highest common factor of 286 and 52.
26
What is the highest common divisor of 10 and 430?
10
What is the greatest common factor of 35 and 39095?
35
What is the greatest common divisor of 713 and 621?
23
Calculate the greatest common divisor of 10 and 8530.
10
What is the highest common factor of 96 and 40?
8
Calculate the highest common divisor of 600 and 120.
120
Calculate the greatest common divisor of 126 and 798.
42
Calculate the highest common factor of 775 and 93.
31
What is the greatest common factor of 5617 and 41?
41
What is the greatest common factor of 350 and 190?
10
What is the highest common divisor of 375 and 2275?
25
What is the highest common divisor of 559 and 624?
13
What is the highest common divisor of 2302 and 4?
2
Calculate the greatest common divisor of 12596 and 188.
188
What is the greatest common factor of 1846 and 26?
26
Calculate the greatest common factor of 84 and 56.
28
Calculate the greatest common divisor of 46 and 368.
46
What is the highest common factor of 931 and 1463?
133
What is the greatest common divisor of 43 and 559?
43
What is the highest common divisor of 770 and 70?
70
Calculate the greatest common divisor of 110 and 605.
55
What is the greatest common divisor of 1032 and 645?
129
What is the highest common factor of 822 and 18?
6
What is the highest common factor of 2527 and 190?
19
What is the greatest common factor of 15 and 375?
15
Calculate the greatest common divisor of 8760 and 48.
24
Calculate the highest common divisor of 295 and 3422.
59
What is the highest common divisor of 1649 and 776?
97
What is the highest common divisor of 873 and 18?
9
Calculate the highest common factor of 216 and 1368.
72
Calculate the greatest common divisor of 1788 and 24.
12
Calculate the greatest common divisor of 1581 and 357.
51
Calculate the highest common divisor of 15 and 41220.
15
What is the greatest common factor of 812 and 14819?
203
Calculate the highest common divisor of 19746 and 18.
18
Calculate the highest common divisor of 19075 and 5.
5
Calculate the highest common divisor of 15 and 1605.
15
Calculate the greatest common factor of 30549 and 51.
51
Calculate the greatest common factor of 638 and 671.
11
Calculate the highest common factor of 384 and 156.
12
What is the highest common divisor of 38 and 589?
19
Calculate the highest common divisor of 80 and 120.
40
What is the greatest common factor of 296 and 37?
37
What is the highest common factor of 81 and 72?
9
Calculate the highest common factor of 60 and 7920.
60
What is the greatest common divisor of 42436 and 412?
412
What is the highest common factor of 825 and 33?
33
Calculate the highest common divisor of 1280 and 300.
20
Calculate the highest common divisor of 429 and 1560.
39
Calculate the highest common divisor of 44 and 418.
22
What is the greatest common factor of 6231 and 201?
201
Calculate the greatest common factor of 14 and 3794.
14
What is the highest common factor of 64 and 368?
16
What is the greatest common divisor of 2622 and 114?
114
What is the highest common divisor of 4740 and 120?
60
What is the greatest common factor of 3110 and 70?
10
What is the highest common factor of 3195 and 72?
9
Calculate the highest common divisor of 756 and 308.
28
Calculate the greatest common divisor of 1600 and 150.
50
Calculate the greatest common factor of 483 and 1288.
161
What is the greatest common factor of 54 and 243?
27
What is the greatest common divisor of 208 and 14?
2
Calculate the highest common factor of 328 and 287.
41
What is the greatest common factor of 684 and 7695?
171
Calculate the greatest common factor of 8484 and 60.
12
Calculate the greatest common divisor of 410 and 30.
10
Calculate the greatest common divisor of 216 and 200.
8
What is the highest common divisor of 31 and 1?
1
Calculate the highest common factor of 92 and 2070.
46
Calculate the greatest common factor of 441 and 126.
63
Calculate the highest common divisor of 225 and 650.
25
Calculate the highest common divisor of 3 and 48.
3
What is the greatest common factor of 505 and 4141?
101
What is the highest common factor of 1094 and 8?
2
What is the highest common divisor of 1391 and 208?
13
Calculate the highest common factor of 828 and 13156.
92
Calculate the greatest common factor of 12871 and 211.
211
What is the highest common divisor of 1053 and 13?
13
What is the highest common divisor of 42 and 483?
21
What is the highest common factor of 177 and 708?
177
Calculate the highest common factor of 80 and 640.
80
Calculate the greatest common divisor of 5370 and 15.
15
Calculate the highest common factor of 2 and 62.
2
Calculate the greatest common factor of 1458 and 18.
18
What is the highest common factor of 2720 and 238?
34
What is the highest common factor of 192 and 3312?
48
What is the greatest common divisor of 105 and 75?
15
What is the greatest common divisor of 99 and 671?
11
What is the greatest common divisor of 124 and 28?
4
Calculate the greatest common divisor of 6375 and 136.
17
What is the highest common factor of 1 and 380?
1
Calculate the highest common divisor of 26277 and 114.
57
Calculate the greatest common factor of 10 and 810.
10
Calculate the greatest common divisor of 561 and 66.
33
Calculate the highest common factor of 2849 and 847.
77
What is the greatest common divisor of 312 and 1716?
156
Calculate the greatest common divisor of 832 and 64.
64
What is the greatest common divisor of 875 and 7?
7
What is the greatest common divisor of 19 and 513?
19
What is the greatest common factor of 23 and 1?
1
Calculate the greatest common factor of 42 and 102.
6
What is the highest common divisor of 2 and 9?
1
What is the greatest common factor of 567 and 630?
63
Calculate the highest common divisor of 98 and 315.
7
What is the highest common divisor of 42 and 4935?
21
Calculate the highest common divisor of 72 and 3438.
18
What is the greatest common divisor of 62931 and 33?
33
Calculate the highest common divisor of 51 and 1173.
51
Calculate the greatest common divisor of 110 and 385.
55
What is the greatest common divisor of 1935 and 86?
43
What is the greatest common divisor of 322 and 42?
14
What is the greatest common factor of 100963 and 17?
17
What is the greatest common divisor of 27 and 12501?
27
What is the greatest common factor of 600 and 528?
24
What is the greatest common divisor of 188 and 92?
4
Calculate the greatest common divisor of 8099 and 91.
91
Calculate the highest common divisor of 414 and 46.
46
What is the greatest common divisor of 776 and 328?
8
What is the highest common factor of 1950 and 60?
30
What is the highest common factor of 34 and 2414?
34
Calculate the highest common divisor of 460 and 15.
5
What is the greatest common divisor of 3379 and 31?
31
Calculate the highest common divisor of 12 and 18.
6
Calculate the greatest common divisor of 66 and 55.
11
What is the highest common factor of 851 and 23?
23
Calculate the greatest common factor of 4074 and 168.
42
What is the greatest common divisor of 286 and 2596?
22
What is the highest common divisor of 101 and 1?
1
Calculate the greatest common divisor of 12 and 3252.
12
Calculate the greatest common divisor of 231 and 483.
21
What is the greatest common fa
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 20*m
Collect the terms in -20*v**2 + 1992*v - 114*v**2 - 1992*v.
-134*v**2
Collect the terms in 8*z**2 - 47*z + 38 - 32 + 47*z.
8*z**2 + 6
Collect the terms in -60*u**2 + 190*u**2 - 60*u**2 - 64*u**2.
6*u**2
Collect the terms in -11*v - 13*v + 36*v - 12*v - 9*v**2.
-9*v**2
Collect the terms in 205*c**3 - 59*c**3 - 49*c**3 - 68*c**3.
29*c**3
Collect the terms in 119 - 119 + 5795*p.
5795*p
Collect the terms in 96*l**2 - 109831 + 109831.
96*l**2
Collect the terms in 281 + 136 - 684 + 267 - 2*q**2.
-2*q**2
Collect the terms in -1 + 178*r**2 + 85*r**2 + 1 - 118*r**2.
145*r**2
Collect the terms in -2*r**3 + 2876880*r**2 - 2876880*r**2.
-2*r**3
Collect the terms in -21*g**2 + 6*g**2 + 6*g**2 + 12*g**2 - 513.
3*g**2 - 513
Collect the terms in 0*r + 2445 - 356*r**2 - 2445 + 0*r.
-356*r**2
Collect the terms in -24*h - 21*h + 128*h - 16*h - 58*h.
9*h
Collect the terms in -4*x**2 - 1974 - 2155 + 4129.
-4*x**2
Collect the terms in -5 + 4 + 226*k + 1.
226*k
Collect the terms in 10*o**3 + 41 - 42 - 2*o**3 + 1.
8*o**3
Collect the terms in -5432*n + 1827*n + 1776*n + 1829*n - 5*n**3.
-5*n**3
Collect the terms in 438*s + 5*s**2 - 848*s + 410*s.
5*s**2
Collect the terms in 4342*f**3 - 2152*f**3 - 2443*f**3.
-253*f**3
Collect the terms in 1751*o**3 - o + o - 882*o**3 - 872*o**3.
-3*o**3
Collect the terms in 485*q**3 - 254*q**3 - 268*q**3 + 9 - 9.
-37*q**3
Collect the terms in 82*y**2 + 2*y - 2*y + 96*y**2 - 187*y**2.
-9*y**2
Collect the terms in -76*h**3 - 151*h**2 + 35*h**3 + 38*h**3.
-3*h**3 - 151*h**2
Collect the terms in 64*m + 146 - 146 - 43*m.
21*m
Collect the terms in 54*h**2 - 8*h**2 - 8*h**2 - 17*h**2 - 5*h**2.
16*h**2
Collect the terms in 3291*z**3 - 12*z + 37*z - 3298*z**3.
-7*z**3 + 25*z
Collect the terms in p - 519*p**3 - 32*p**3 - p.
-551*p**3
Collect the terms in 79*w**3 + 84*w**3 + 95*w**3 - 272*w**3 + 0*w**2 + w**2.
-14*w**3 + w**2
Collect the terms in -3*n**3 + 27*n**3 + 11*n**3 + n**3 + 27*n**3.
63*n**3
Collect the terms in -2*u + 282053*u**2 + 2*u - 282059*u**2.
-6*u**2
Collect the terms in -116*l**2 + 7713 + 7705 - 56*l**2 - 15418.
-172*l**2
Collect the terms in -4*i**3 - 2567675*i + 2567675*i + 3*i**3.
-i**3
Collect the terms in 158*f**3 - 4*f + 3*f - 290*f**3.
-132*f**3 - f
Collect the terms in -3*a - 4085425461 + 4085425461.
-3*a
Collect the terms in -2 + 61*b + 6*b**2 - 61*b + 37*b**2.
43*b**2 - 2
Collect the terms in -757*r**3 + 13958*r**2 - 13958*r**2.
-757*r**3
Collect the terms in 21373*v - 6*v**3 - 21373*v.
-6*v**3
Collect the terms in 781 + 47*n - 393 - 19*n - 388.
28*n
Collect the terms in -p - 454 + 0*p + 478 - 2*p.
-3*p + 24
Collect the terms in 567*l - 567*l - 502*l**3.
-502*l**3
Collect the terms in 5*b + b - 55994 + 55994 - 4*b.
2*b
Collect the terms in -131648*s + 2 - 4 + 2.
-131648*s
Collect the terms in -159763781 + 10*w - 14*w + 159763781.
-4*w
Collect the terms in 8 - 204*m**3 + 214*m**3 - 8.
10*m**3
Collect the terms in 76*j**2 - 261289818*j + 261289818*j.
76*j**2
Collect the terms in 575*b**2 - 575*b**2 + 737*b**3.
737*b**3
Collect the terms in 17 - 41 + 22 - 193*f.
-193*f - 2
Collect the terms in -268411 + 268395 - i**3 + 0*i**3.
-i**3 - 16
Collect the terms in -8*m**3 - 9*m**3 + 60*m**3 - 9*m**3 - 12*m**3.
22*m**3
Collect the terms in 177*q - 31*q + 58 - 6*q - 58.
140*q
Collect the terms in 179*u + 181*u + 186*u - 541*u.
5*u
Collect the terms in 16*z - 3572660 + 3572660.
16*z
Collect the terms in 10*g - 23*g - 163*g + 75*g.
-101*g
Collect the terms in 626 - 812*o - 626.
-812*o
Collect the terms in -2 + 9927*x + 2.
9927*x
Collect the terms in -1545 + 744 - 3*x**3 + 801.
-3*x**3
Collect the terms in 351*l - 138*l - 177*l + 8 - 8.
36*l
Collect the terms in 27*a + 13*a - 63*a + 15*a + 10*a.
2*a
Collect the terms in 0*c - 27 + 24*c - 6*c + 16*c.
34*c - 27
Collect the terms in 42*p**2 - 98*p**2 + 30*p**2.
-26*p**2
Collect the terms in 132 + 77*k - 24*k + 108*k + 51*k - 126.
212*k + 6
Collect the terms in 3 - 59435*t**3 - 3 + 8015*t**3.
-51420*t**3
Collect the terms in -7*m**3 - 36 + 87 + 9*m**3 - 51.
2*m**3
Collect the terms in 33*u**2 + 77*u**2 - 136*u**2 + 33*u**2.
7*u**2
Collect the terms in 1357*b - 455*b - 454*b - 450*b.
-2*b
Collect the terms in -12525*c - 144*c + 1806*c.
-10863*c
Collect the terms in b**2 - 54*b - 11*b**2 + 73 + 88 - 161.
-10*b**2 - 54*b
Collect the terms in 357*k**3 - 468*k**3 - 323*k**3.
-434*k**3
Collect the terms in 18*j**3 - 18705*j + 18705*j.
18*j**3
Collect the terms in -17 + 17 - 269*s**3 + 27*s**3.
-242*s**3
Collect the terms in 3 + 72*y + 85*y + 70*y - 291*y + 76*y.
12*y + 3
Collect the terms in -672*l**3 - 691*l**3 - 664*l**3 + 2048*l**3.
21*l**3
Collect the terms in 0*j - 11*j + 10*j + 2605 - 2605.
-j
Collect the terms in -50 - 608*d**2 - 102*d**2 + 12.
-710*d**2 - 38
Collect the terms in -k - 350*k**2 + 418*k**2 + k.
68*k**2
Collect the terms in -95078189*q**2 + 95078189*q**2 - 2*q**3.
-2*q**3
Collect the terms in -4188*g + 23*g**3 - 4055*g + 8243*g.
23*g**3
Collect the terms in -14*g + 2*g + 12*g + 0*g + 40*g**2.
40*g**2
Collect the terms in y**2 + 240 + 266 + 262 + 236 - 1004.
y**2
Collect the terms in -101*r - 735*r**3 + 733*r**3 - 2318*r.
-2*r**3 - 2419*r
Collect the terms in -547 + 184 + 186 + 6*q**2 + 173.
6*q**2 - 4
Collect the terms in -60 - 60 + 22*u + 121.
22*u + 1
Collect the terms in 7*n + 14 + 10 - 4*n**3 - 24 - 9*n**3.
-13*n**3 + 7*n
Collect the terms in 11*y**3 + 8*y**3 - 13*y**3 + 4*y**3.
10*y**3
Collect the terms in -4*s**2 + 24*s**2 - 3*s**2 + 3*s**2 + s**2.
21*s**2
Collect the terms in 205*c**2 - 3 - 457*c**2 + 217*c**2 + 3.
-35*c**2
Collect the terms in -999*j - 864*j - 999*j.
-2862*j
Collect the terms in -38*v - 43*v - 24*v + 208*v - 38*v - 44*v.
21*v
Collect the terms in 307*i - 1 + 0 + 13 - 812*i.
-505*i + 12
Collect the terms in 14*o**2 + 9*o**2 + 6*o**2 + 17*o**2 + 7*o**2 - 51*o**2.
2*o**2
Collect the terms in 2*j - 4*j + 7819 - 2610 - 2603 - 2606.
-2*j
Collect the terms in 214*z + 214*z + 209*z - 1048*z + 207*z + 206*z.
2*z
Collect the terms in 322 + 61*o - 181*o - 323.
-120*o - 1
Collect the terms in 1 - 14*k - 4*k + 34*k - 11*k.
5*k + 1
Collect the terms in 2 + 481*c**2 - 913*c**2 + 457*c**2.
25*c**2 + 2
Collect the terms in -595 - 3*q + 2*q**3 - 767 + 204.
2*q**3 - 3*q - 1158
Collect the terms in -21 - n**2 + 22 - 22.
-n**2 - 21
Collect the terms in -10 + 1902378*m + 5*m**2 - 1902378*m - 4*m**2.
m**2 - 10
Collect the terms in -3*p**2 - 329*p - 3*p**2 + 166*p + 163*p.
-6*p**2
Collect the terms in 627 - 311 - 315 - 45*d**2.
-45*d**2 + 1
Collect the terms in 98*b**2 + 1 - 118*b**2 + 63*b**2.
43*b**2 + 1
Collect the terms in 94*h**2 - 31*h**2 + 4*h - 72*h**2 - 2*h.
-9*h**2 + 2*h
Collect the terms in -8469*a + 25415*a - 8472*a - 8473*a.
a
Collect the terms in 2*c**2 - 29125483942*c + 29125483942*c.
2*c**2
Collect the terms in -1117844 - 19*p + 1117844.
-19*p
Collect the terms in 33*n**2 - 7*n**2 + 28*n**2 - 22*n**2 + 6*n**3 + 20*n**2.
6*n**3 + 52*n**2
Collect the terms in -k - 163*k**2 + 112*k**2 + 66*k**2 + 2*k - k.
15*k**2
Collect the terms in 11*j**3 + 5605*j**2 - 5605*j**2.
11*j**3
Collect the terms in -107294*p**2 - 21864*p**2 - 24883*p**2 - 45747*p**2.
-199788*p**2
Collect the terms in 2*o**2 + 33*o + 35 + 0*o + 15*o - 35.
2*o**2 + 48*o
Collect the terms in 392*o + 6*o**3 - 1820*o**2 + 1820*o**2.
6*o**3 + 392*o
Collect the terms in 1050 + 1081 - 5*y - 2131.
-5*y
Collect the terms in 6 + 5 - 15186*h - 11.
-15186*h
Collect the terms in 2192*x**2 + 4*x + 4*x - 8*x.
2192*x**2
Collect the terms in 12482*r**2 - 24956*r**2 + 2*r**3 + 6*r**3 + 12474*r**2.
8*r**3
Collect the terms in 13*h**2 + h - 7*h**2 + 22*h**2 - h.
28*h**2
Collect the terms in -177752256 + 2*z + 177752256.
2*z
Collect the terms in 5162*k**2 - 5040*k**2 + 20 - 20.
122*k**2
Collect the terms in 1068*h**2 + 1064*h**2 + 1073*h**2 - 3191*h**2.
14*h**2
Collect the terms in -4*x + 66*x + 0 - 1.
62*x - 1
Collect the terms in 0*c**2 - 9*c**2 + 0*c**2.
-9*c**2
Collect the terms in 26*b**3 - 2*b + 7*b**3 - 4*b**3.
29*b**3 - 2*b
Collect the terms in -108*w**3 - 72*w**3 + 141*w**3.
-39*w**3
Collect the terms in -29*l**2 + 80*l**2 - 33*l**2 + 4*l**3.
4*l**3 + 18*l**2
Collect the terms in 2*d**2 - 29 - 11 + 63 + 22.
2*d**2 + 45
Collect the terms in -3222*j**2 + 1077*j**2 + 1078*j**2 + 1082*j**2.
15*j**
|
{
"pile_set_name": "DM Mathematics"
}
|
/(4/(-10))?
7
Let h = -612 + 1007. Suppose g + 0*g + h = 3*y, -y + 2*g = -125. Suppose 0 = 3*l + 4*l - y. Calculate the remainder when 130 is divided by l.
16
Suppose -20*g - 17*g = -22162 - 25827. What is the remainder when g is divided by 45?
37
Let z(t) = t**2 - 10*t + 33. Suppose -2*g + 47 = -5*c, 2*g + 0*c = -c + 77. Suppose 8*k - 4*k = g. What is the remainder when z(0) is divided by k?
6
Let w = 23 + -32. Let s = w + 37. Let a = 249 - 233. What is the remainder when s is divided by a?
12
Let b be (-13 + 10)*((-32)/(-6))/2. What is the remainder when 97 is divided by 6/(-216)*b + (-723)/(-27)?
16
Let b = -283 - -142. Let k = 236 + b. What is the remainder when k is divided by 24?
23
Suppose 27*s + 6 = 28*s. Suppose -3*p = -5*p + 4. Suppose -4*z + 5*v = -137, p*v + 38 = 7*z - s*z. What is the remainder when 138 is divided by z?
26
Suppose 0 = -38*x - 10 + 124. Suppose 5*o - 547 = -4*r, -3*o = x*r - 7*r - 341. Suppose 2*h - 83 = -27. What is the remainder when o is divided by h?
27
Let v(t) = -t**2 + 68*t - 646. Let c = -99 - -198. Calculate the remainder when c is divided by v(56).
21
Let u(r) = 0 - 5*r - 4 + 5*r**2 + 1 - 3. Suppose 73 - 298 + 0 = -9*g. Calculate the remainder when u(-4) is divided by g.
19
Suppose 4*v - 404 = 3*i, -7*i + 5*i - 270 = -3*v. What is the remainder when (-14 - 1824/i) + (-739)/(-11) is divided by 6?
1
Suppose -7*t - 247 + 415 = 0. Calculate the remainder when 454 is divided by t.
22
Suppose 5*r - 19 = m, 5 = 2*m + 3*m - 5*r. Let w = -33496 + 33542. What is the remainder when w is divided by m?
4
Let q = -5997 + 6191. Calculate the remainder when 774 is divided by q.
192
Suppose -5*v - 138 = -173. Suppose v = -5*x + 102. Calculate the remainder when x is divided by 4.
3
Let k = -166 - -256. Suppose 4*h - 4*i = -2*i - 314, -317 = 4*h - 5*i. Let m = k + h. Calculate the remainder when m is divided by 5.
2
Suppose -4*n + 9 = 3*a, 0 = -5*n + 4 + 11. What is the remainder when 25 is divided by a*(-6 + -3 + -2)?
3
Suppose j = m + 2 - 10, 5*m - 22 = 2*j. Let f = 1 - j. Let r = 40119 + -40087. Calculate the remainder when r is divided by f.
4
Let d = -1 + -18. Let g(j) = 9*j + 186. Calculate the remainder when 160 is divided by g(d).
10
Suppose 4*j = w - 142, 3*j = -w - 2*j + 187. Let i(v) = v**2 + v - 7. Let p be i(3). Suppose -p*s + 136 = -69. What is the remainder when w is divided by s?
39
Suppose -11*a - 73 = -3*i, i - 5*a + 2*a = 23. Calculate the remainder when 64 is divided by i.
13
Let i(z) = z**3 + 16*z**2 + 25*z - 44. Let a be i(-14). Let c(j) = -123*j + 30. What is the remainder when c(a) is divided by 70?
66
Let m be 4/18 + 53780/180. Let b = -296 + m. What is the remainder when b is divided by 2?
1
Let o = -4178 + 4244. What is the remainder when 220 is divided by o?
22
Suppose -21*d - 162 = -36. Let n(b) = -23*b + 3*b**2 - 4 + b**3 - 6 + 2*b. Calculate the remainder when 38 is divided by n(d).
6
Calculate the remainder when ((-1903)/55 - -23)/((-2)/815) is divided by 22.
19
Suppose 73*j = 25542 - 2839. What is the remainder when j is divided by 38?
7
Let s(f) = -f + 16. Suppose 0 = 4*k + 10 - 54. Calculate the remainder when (-634)/(-30) + (-6)/45 is divided by s(k).
1
Let y(c) = -c**2 + c + 2. Let g(j) = -16*j**2 + 17*j + 13. Let v(f) = -g(f) + y(f). What is the remainder when v(6) is divided by 29?
27
Let a = -651 - -668. Suppose 16*x = 241 - a. Calculate the remainder when (-1)/(-3) + 310/6 is divided by x.
10
What is the remainder when 179 is divided by ((-546)/24)/((-63)/36)?
10
Suppose v = -2*u + 11, -2*v - u + 27 = 5. Suppose v*y + 5*i = 14*y - 19, y - 2*i = 5. What is the remainder when 35 is divided by y?
9
Let p(u) = u**3 + 7*u**2 + 3*u - 5. Suppose -2*w = 2*h - 767 + 757, -3*h = 4*w - 23. What is the remainder when p(-5) is divided by w?
6
What is the remainder when (-21)/((-16)/((-10304)/(-42))) is divided by 55?
47
Calculate the remainder when (16/8 + 22/4)*(-2 - -14) is divided by 4.
2
Let j(h) = -h**3 - h**2 - 29*h - 28. Let i be j(-8). Suppose i = 4*m - 4*r, 3*m + 5*r - 483 = 10*r. Calculate the remainder when m is divided by 12.
10
Let o(n) = n**3 + 17*n**2 + 59*n + 9. What is the remainder when 313 is divided by o(-9)?
61
Suppose 0 = 854*c - 858*c + 1196. Let p = c - 263. Calculate the remainder when 238 is divided by p.
22
Suppose -3*b + 67*q = 62*q - 880, -5*b + 1288 = 14*q. What is the remainder when b is divided by 98?
84
Let x(s) = -s**3 - 12*s**2 - 4*s - 17. Let q be 16/(-100)*-5*-15. What is the remainder when 90 is divided by x(q)?
28
Suppose -1 = 2*y - 13. What is the remainder when 57 is divided by -5 - (-162)/6 - y?
9
Let a = -269 - -281. Suppose -8*y - 19 + 75 = 0. Calculate the remainder when a is divided by y.
5
Let l = -74 - -88. Suppose l*p = 23*p - 207. Calculate the remainder when 151 is divided by p.
13
Let l(n) = -289*n + 4916. Calculate the remainder when l(15) is divided by 25.
6
Suppose 5*o - 1415 = 5*t, 0 = t - 2 - 1. Let m = -11876 + 11887. Calculate the remainder when 4/16 + o/8 is divided by m.
3
Suppose -4*a + 130 = -2*c, -93 - 166 = -7*a - c. Let i = -134 + 312. What is the remainder when i is divided by a?
34
Let r(q) = -10*q - 90. Let f be r(-25). Suppose 5*c + f = 5*n, 0*n = -n - c + 36. What is the remainder when 108 is divided by n?
6
Suppose -5*c - 2*x = -929, 0 = -6*c + x + 1590 - 465. What is the remainder when 1868 is divided by c?
185
Let u = -40 - -68. Suppose 0 = 2*o - 52*i + 54*i + 32, -5*i = -25. Calculate the remainder when 48 + (-5)/((-35)/o) + 8 is divided by u.
25
Suppose 60*h - 54*h = 1164. Let i(z) = z**2 - 3*z + 15. What is the remainder when h is divided by i(6)?
29
Suppose -32*w + 35*w - 2*r = 379, -620 = -5*w + 5*r. Calculate the remainder when 2089 is divided by w.
124
Let m(d) be the first derivative of -9*d**2/2 + 18*d - 48. Let p be m(3). Calculate the remainder when 42 is divided by 9/(((-9)/(-25))/(p/(-15))).
12
Let i be -5*(6 + (-204)/30). Suppose 0 = 11*s - 13*s - 5*j + 49, s - i*j + 8 = 0. What is the remainder when s is divided by 5?
2
Let p(a) = a**3 - 2*a**2 - 7*a + 5. Let n(j) = 10*j + 104. Let u be n(-11). What is the remainder when (-153)/u - (-3)/(-6) is divided by p(4)?
7
Suppose 2*j - 4*b = 189 + 269, b + 672 = 3*j. Let d = j + -98. Suppose 0 = 5*a - d + 40. What is the remainder when 32 is divided by a?
15
Let d = 12 + 1. Let b(m) = 6*m - 42. Let s be b(d). Suppose -34*k + 30*k = -s. Calculate the remainder when 16 is divided by k.
7
Let i = -4756 + 4774. Calculate the remainder when 4748 is divided by i.
14
Let y = 62 - -13. Let v be (-162)/(-486) - (-2)/(-12)*(-956)/2. Suppose 0 = y*j - v*j + 605. What is the remainder when j is divided by 31?
28
Suppose -13*s - 88*s = -2222. Calculate the remainder when 335 is divided by s.
5
Suppose 5*z - 156 = -2*l, -337*l + 4*z = -338*l + 81. Calculate the remainder when l is divided by 28.
17
Let i = 11780 + -11745. What is the remainder when 522 is divided by i?
32
Let z = -26521 + 26584. Calculate the remainder when 270 is divided by z.
18
Let m(v) = v**3 + 29*v**2 + 47*v - 88. Calculate the remainder when 512 is divided by m(-27).
7
Let z(b) = -20*b + 2. Let v(a) = a**3 + a**2 + 4*a + 3. Let g be v(-1). What is the remainder when 35 is divided by z(g)?
13
Let b be 51 + 4 + -8 + 3. Let p = b + 8. Suppose 0 = -5*x + 9*x - 80. Calculate the remainder when p is divided by x.
18
Suppose -90 + 10 = -i + 4*t, -2*t = -4*i + 376. What is the remainder when 566 is divided by i?
86
Suppose 4 = 80*f - 76*f. Let d be (-3)/(f/(15/(-9))). Suppose -790 = -d*m - 5*m. Calculate the remainder when m is divided by 22.
13
Suppose 0 = 7*b - 4*b. Suppose b = -4*x + 5*g - 20, -x - g = x - 4. Suppose x = z - 5*z + 104. Calculate the remainder when z is divided by 17.
9
Let j be (12/(-18))/((5 - 3)/(-6)). Suppose -g + 30 = -j*c, -5*c = 12 - 2. What is the remainder when 66 is divided by g?
14
Let o(q) = q**2 - 88*q + 1364. What is the remainder when 175 is divided by o(20)?
3
Let i(r) = -10*r - 13. Let z be i(-6). Let v = z + -44. Calculate the remainder when 18 is divided by (v + 3)*2*1.
6
Suppose -3*l + 610 = -l + 4*d, d = -2. Calculate the remainder when l is divided by 157.
152
Suppose 68789 = -10*h + 35*h + 1289. What is the remainder when h is divided by 7?
5
Suppose 0*h = -h + 141. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
/(54/(-180)). Solve 4*p**3 + 13*p**5 - p**5 - 3*p**2 - h*p**4 + 7*p**2 = 0.
-1/3, 0, 1
Let k be (8/(-3))/(16/(-24)). Let r(w) be the third derivative of 0 - 1/48*w**k + 0*w**3 + w**2 + 0*w + 1/240*w**5. Factor r(y).
y*(y - 2)/4
Find o such that 10*o**4 + 0*o - 7*o**5 - 6*o**5 + 4*o + 15*o**5 + 18*o**3 + 14*o**2 = 0.
-2, -1, 0
Let f(i) = -12*i**4 - 12*i**3 - 6*i**2 - 3. Let s(c) = c**5 + c**3 - 1. Let m(a) = f(a) - 3*s(a). Factor m(p).
-3*p**2*(p + 1)**2*(p + 2)
Let i be (3/(-2) + 3)/((-63)/(-12)). Find d, given that i*d**4 + 0 - 2/7*d**5 + 0*d - 2/7*d**2 + 2/7*d**3 = 0.
-1, 0, 1
Let j(c) = -3*c**3 - 1. Let g(l) = 4*l**3 - l**2 + 2. Let d(f) = -2*g(f) - 3*j(f). Let k be d(1). Factor -2*p**k + 2 + p**3 + p**3 - 3*p + p.
2*(p - 1)**2*(p + 1)
Suppose s - 3*i + 11 = 0, 2*i - i + 11 = 4*s. Factor 0 - 8*m**3 - 15*m**5 + 19*m**5 + 0 + s*m.
4*m*(m - 1)**2*(m + 1)**2
Suppose -4 - 36*v - 4*v**3 + 40*v - 5 + 5 + 4*v**2 = 0. Calculate v.
-1, 1
Suppose -5*w = 1 - 16. Let b(m) be the first derivative of 2/3*m - 2 - 2/9*m**w + 0*m**2. Factor b(y).
-2*(y - 1)*(y + 1)/3
Let v(d) = 10*d**4 + 28*d**3 - 75*d**2 - 53*d + 37. Let f(o) = -o**3 + o + 1. Let r(g) = 3*f(g) + v(g). Let r(t) = 0. Calculate t.
-4, -1, 1/2, 2
Let s = -220 + 1982/9. Factor 4/9 - 2/3*y + 0*y**2 + s*y**3.
2*(y - 1)**2*(y + 2)/9
Suppose 0*d = -3*d + 15. Factor -4*g**2 + 4*g**4 + 0*g**3 - g**d - 4*g**3 + 5*g**5.
4*g**2*(g - 1)*(g + 1)**2
Let o(y) = y**3 + 5*y + 5. Let v(g) = -3*g - 3. Let s(p) = -3*o(p) - 5*v(p). Let s(t) = 0. What is t?
0
Let 12/5*m - 3/5*m**2 - 12/5 = 0. What is m?
2
Find v, given that -3*v**2 - 1 + 1 + 7*v**2 + 36*v = 0.
-9, 0
Let d(v) be the second derivative of -v**7/399 + 4*v**6/285 - v**5/38 + v**4/57 - 2*v. Solve d(j) = 0.
0, 1, 2
Factor -25/8 - 5/4*t - 1/8*t**2.
-(t + 5)**2/8
Determine i so that 0*i - 3/2 - 3/8*i**4 + 0*i**3 + 15/8*i**2 = 0.
-2, -1, 1, 2
Let h(y) be the second derivative of -y**6/75 - 2*y**5/25 - 2*y**4/15 + 7*y. Factor h(c).
-2*c**2*(c + 2)**2/5
Let a(f) be the first derivative of f**4/36 + f**3/9 + f**2/6 - f - 1. Let s(w) be the first derivative of a(w). Factor s(i).
(i + 1)**2/3
Let v(k) be the third derivative of k**7/1260 - k**6/144 + k**5/40 - 7*k**4/144 + k**3/18 + 8*k**2. Let v(a) = 0. What is a?
1, 2
Suppose 0 = 5*j - 2*j - 33. Suppose -j = -2*n - 7. Factor 0 + 6/7*c**n + 2/7*c.
2*c*(3*c + 1)/7
Factor 0*z**2 - z**2 + 5*z**2 - 4*z + 0*z.
4*z*(z - 1)
Let n(r) = r**2 + 34*r - 79. Let a(k) = -33*k + 78. Let t(b) = -4*a(b) - 3*n(b). Solve t(i) = 0.
5
Determine o, given that -32*o + 6 + 213/2*o**3 - 49/2*o**5 + 77/2*o**4 + 11/2*o**2 = 0.
-1, 2/7, 3
Let p(j) = -j - 12. Let k be p(-12). Factor -h + k*h**2 + 2*h**2 + 0*h - h**2.
h*(h - 1)
Let j(g) = -g**2 + 11*g - 15. Let p be j(9). Let b(a) be the first derivative of 1/4*a**2 + 1 + 0*a + 1/6*a**p. Factor b(d).
d*(d + 1)/2
Let l(i) be the second derivative of -i**7/189 - 7*i**6/135 - i**5/9 + i**4/3 + i**3 - 3*i**2 + 4*i. Let l(v) = 0. What is v?
-3, 1
Determine x so that -1/2*x**3 - 96*x - 12*x**2 - 256 = 0.
-8
Let n be (1 + 0 - 1) + 3. Factor 2*j**2 + 4*j**2 + 0*j**2 - 3 - n*j**4.
-3*(j - 1)**2*(j + 1)**2
Let f = -4 - -9. Find q, given that 12*q - 2*q**2 - 6 - 15*q + f*q**2 = 0.
-1, 2
Let p(c) be the second derivative of -1/72*c**4 + 1/2*c**2 + 1/180*c**5 + 0 + 0*c**3 + c. Let d(r) be the first derivative of p(r). Let d(z) = 0. Calculate z.
0, 1
Factor -4*d**2 + 4*d**4 + d - 2*d - 2*d**5 + 3*d.
-2*d*(d - 1)**3*(d + 1)
Let a be 149/(-6) + 1/3. Let q = a - -25. Suppose 1/4 + 1/4*l**2 - q*l = 0. Calculate l.
1
Let g(f) be the third derivative of -f**6/360 - 2*f**3/3 + f**2. Let p(b) be the first derivative of g(b). Factor p(s).
-s**2
Let k(f) be the second derivative of -f + 0 + 0*f**2 - 1/120*f**5 + 1/180*f**6 + 0*f**4 + 0*f**3. Factor k(y).
y**3*(y - 1)/6
Let k = 7/11 + -13/55. Factor -c + k + 1/5*c**3 + 3/5*c**2 - 1/5*c**4.
-(c - 1)**3*(c + 2)/5
Let n(s) be the first derivative of 5*s**6/3 + 6*s**5/5 - 7*s**4/2 - 2*s**3 + 2*s**2 - 4. What is r in n(r) = 0?
-1, 0, 2/5, 1
Let o(a) be the third derivative of -a**8/60480 - a**7/3780 - a**6/540 - a**5/60 - 5*a**2. Let c(d) be the third derivative of o(d). Solve c(x) = 0 for x.
-2
Factor -68*s**4 + 80*s + 25*s**3 + 490*s**5 - 156*s**2 - 16 - 478*s**5 + 123*s**3.
4*(s - 2)*(s - 1)**3*(3*s - 2)
Let p(a) be the second derivative of a**6/6 - a**5/4 - 5*a**4/12 + 5*a**3/6 + 2*a. Factor p(i).
5*i*(i - 1)**2*(i + 1)
Let q(b) = 5*b**2 - 2*b + 1. Let x be q(1). Let v = -1 + 8. Factor -2*w**3 + 3*w + 1 - 2*w**2 - x*w**4 - w**5 - 2 + v*w**4.
-(w - 1)**4*(w + 1)
Let d(v) be the third derivative of v**5/60 + 3*v**4/8 + v**3/3 + 4*v**2. Let i be d(-9). Factor -3/2*y**3 + 1/2 + 7/2*y**i - 5/2*y.
-(y - 1)**2*(3*y - 1)/2
Suppose -4*n + 26 = 14. Factor -2*v + 2*v**3 - 4*v**2 - 6*v**3 + 2*v**n.
-2*v*(v + 1)**2
Let z be (-4 - 1)*8/(-10). Let s be (14/21)/(z/30). Factor -2*j - 4*j**s - 6*j**4 + 2*j**5 + 4*j**2 + 4*j + 2*j**4.
-2*j*(j - 1)*(j + 1)**3
Let k(f) = -12*f**3 - 39*f**2 + 36*f + 21. Let h(n) = -11*n**3 - 40*n**2 + 37*n + 22. Let a(d) = 3*h(d) - 4*k(d). Let a(t) = 0. What is t?
-3, -2/5, 1
Let i(b) be the third derivative of b**9/60480 + b**8/26880 - b**7/10080 - b**6/2880 - b**4/12 + 2*b**2. Let n(r) be the second derivative of i(r). Factor n(a).
a*(a - 1)*(a + 1)**2/4
Let x(v) be the second derivative of -7*v**6/90 + 19*v**5/60 - 2*v**4/9 - 2*v**3/9 + 45*v. Factor x(i).
-i*(i - 2)*(i - 1)*(7*i + 2)/3
Let k = -1156/5 - -232. Let k*h**2 + 0*h + 0 - 2/5*h**3 = 0. What is h?
0, 2
Let w = -7 + 1. Let x(z) = 6*z**3 + 4*z - 5. Let r(t) = -7*t**3 - 5*t + 6. Let v(f) = w*x(f) - 5*r(f). Factor v(d).
-d*(d - 1)*(d + 1)
Suppose -15 = a + 2*l, -4*a = 5*l - 4*l + 25. Let r = a - -5. Factor -1/4*d + 1/4*d**3 - 1/4*d**4 + 1/4*d**2 + r.
-d*(d - 1)**2*(d + 1)/4
Let r(w) be the third derivative of w**6/1440 + w**5/160 - w**3/3 + 3*w**2. Let y(z) be the first derivative of r(z). Factor y(g).
g*(g + 3)/4
Let v(g) be the third derivative of -g**7/315 + g**6/180 + 2*g**5/45 - g**4/9 + 48*g**2. Solve v(c) = 0.
-2, 0, 1, 2
Let g(k) be the second derivative of -1/110*k**5 + 1/33*k**3 + 0*k**2 + 1/66*k**4 - 11*k + 0 - 1/165*k**6. Suppose g(l) = 0. Calculate l.
-1, 0, 1
Suppose -g + 3*z = 2*z - 4, -5*z = 3*g - 4. Suppose 0 = 5*u - 4*d - 23, g*d + 0 = u - 9. Factor 0 + 0*p**4 + 0*p**2 + 0*p - 2/3*p**5 + 0*p**u.
-2*p**5/3
Let p(s) be the first derivative of s**6/15 - 4*s**5/25 - s**4/5 + 8*s**3/15 + s**2/5 - 4*s/5 + 40. Suppose p(i) = 0. Calculate i.
-1, 1, 2
Let j(o) = o**3 - o**2 + 2*o. Let d be j(2). Let i = -6 + d. Find l such that 4*l + 3 + 8*l + 1 + 9*l**i = 0.
-2/3
Let j(o) = 2*o**4 - 12*o**3 + 12*o + 14. Let u(i) = -i**4 + 4*i**3 - 4*i - 5. Let k = -7 - -10. Let x(a) = k*j(a) + 8*u(a). Factor x(q).
-2*(q - 1)*(q + 1)**3
Let u = -541/2 + 275. Let 3/4 + u*k - 3/2*k**3 + 6*k**2 - 27/4*k**4 - 3*k**5 = 0. Calculate k.
-1, -1/4, 1
Let j(t) = -2*t + 14. Let k be j(6). Let i(y) be the second derivative of -1/15*y**4 + 2*y + 0 - 1/5*y**k - 1/100*y**5 - 1/6*y**3. Factor i(n).
-(n + 1)**2*(n + 2)/5
Let k(u) = 112*u**4 - 200*u**3 + 111*u**2 - 20*u + 2. Let h(y) = 112*y**4 - 200*y**3 + 111*y**2 - 21*y + 2. Let b(p) = 5*h(p) - 4*k(p). Factor b(l).
(l - 1)*(4*l - 1)**2*(7*l - 2)
Let b be (-69)/(-46)*(-2)/(-6). Let -2 - 2*x - b*x**2 = 0. What is x?
-2
Factor -9/5*z + 24/5*z**2 + 12/5*z**3 - 27/5.
3*(z - 1)*(2*z + 3)**2/5
Let f(i) = -i**3 - 3*i**2 - 4*i - 2. Let l be f(-2). Let s be ((-2)/(-5))/(14/10). Factor 4/7*k**l - 2/7*k**3 - s*k + 0.
-2*k*(k - 1)**2/7
Let y = 6 + -2. Suppose 12 = y*g - 0. Solve -i**4 + 2*i**g - 3*i**3 + i**3 = 0 for i.
0
Let g be (-1)/(-2) + (-2188)/24. Let m = 93 + g. Solve m*f**4 + 0*f + 2/3*f**3 + 0*f**2 + 0 = 0.
-2/7, 0
Let v(a) be the first derivative of 0*a**3 + 0*a - a**2 + 1 + 1/2*a**4. Find h, given that v(h) = 0.
-1, 0, 1
Let g(q) be the first derivative of q**3/3 + 3*q**2 - 37. Factor g(a).
a*(a + 6)
Let f be -17*2/10 - -4. Suppose 0 = -2*l + 4*h - 14, -l - 12 = -h - 2*h. Suppose f*v + 1/5*v**l - 3/5*v**2 - 1/5 = 0. What is v?
1
Let v(f) be the second derivative of -f**5/5 - f**4 + 8*f**2 + 5*f. Factor v(o).
-4*(o - 1)*(o + 2)**2
Solve 3/7*t**4 + 12/7*t + 12/7 - 9/7*t**2 - 6/7*t**3 = 0.
-1, 2
Let p(d) = d**2 - 8*d + 11. Let w be p(7). Factor 8*q**4 - 17*q**4 + 8*q**
|
{
"pile_set_name": "DM Mathematics"
}
|
d 1843?
19215
-108 + -1353941
-1354049
-9463342045 + -0.1
-9463342045.1
Put together 1.154781912 and 17.
18.154781912
Sum 10.133 and 79437.
79447.133
Calculate -0.2357 + -6041.
-6041.2357
-0.05123 + -143.82
-143.87123
965 - 275747
-274782
What is 513.05 plus 207?
720.05
Sum -10976 and -1366160.
-1377136
What is -11421 less than 1022.63?
12443.63
What is the distance between -4.3295 and 3636?
3640.3295
Total of -2349 and -266.9663.
-2615.9663
What is -1 - 11.4081171?
-12.4081171
Put together -0.2 and -0.23371651.
-0.43371651
-242 - 0.417767
-242.417767
0.32042309+-3.05
-2.72957691
What is -15.6387 + 20920?
20904.3613
What is the distance between 13444436913 and -0.5?
13444436913.5
Subtract -0.3 from -1375602.
-1375601.7
What is the difference between -0.7920237 and 18.3?
19.0920237
What is 12145 less than 1642?
-10503
What is the difference between 0.2293598 and -128?
128.2293598
What is -0.06 - 276174.64?
-276174.7
Calculate 0.5 - 5.709004.
-5.209004
What is -1.3 take away 296866.079?
-296867.379
What is 1 less than -638823?
-638824
What is -76055621 minus -0.026?
-76055620.974
What is -0.33 - 73967327?
-73967327.33
What is -138927827 plus -3?
-138927830
Calculate 2387753.84 + 6.12.
2387759.96
What is -0.5067202 - -5?
4.4932798
What is 1419.371713 take away 0.5?
1418.871713
Subtract -0.07 from -127756.181.
-127756.111
Sum -3627686 and -3.
-3627689
What is the difference between -202256775 and 163?
202256938
What is the difference between -235657 and -0.241?
235656.759
What is the distance between 168281965 and -11?
168281976
Total of -0.4 and 38675783.
38675782.6
-3+-11590893185
-11590893188
What is the difference between -8750.2139 and 16.6?
8766.8139
What is the difference between 133899719476 and 0.5?
133899719475.5
What is 0.3 + 401958.419?
401958.719
0.0339+2.91835
2.95225
What is -812041237 - 0.05?
-812041237.05
What is the distance between -558 and -37429?
36871
What is the difference between -493 and -53307875?
53307382
What is 0.1842 + 5653?
5653.1842
What is 162 minus 79817?
-79655
Calculate -0.0281 - 3091983.
-3091983.0281
Add 153214 and 0.01542.
153214.01542
Add together -7.742 and 2962.
2954.258
0.373 - 0.3057819
0.0672181
What is -52184969 plus 5?
-52184964
What is the distance between -20870.1 and -345311?
324440.9
Sum -25961485 and 11.
-25961474
Sum -5842579.26 and -1.
-5842580.26
Subtract -124 from 0.093611.
124.093611
What is 19916365 plus 9?
19916374
Put together 0.3222 and 0.071737.
0.393937
What is -67494 minus 105?
-67599
Add 2 and 101058591.
101058593
Add -0.06 and -20.259519.
-20.319519
0 + 7833471
7833471
What is 0.389 take away -2856024?
2856024.389
What is -7324.7 - 359.96?
-7684.66
-112293+779
-111514
Calculate 0.01 + 100997904.8.
100997904.81
What is 0.123 minus 1524190?
-1524189.877
What is 0.0006322211 less than -2.6?
-2.6006322211
209756 + -2.31
209753.69
What is 3564890 plus 1?
3564891
Work out 3496.124 + 0.0527.
3496.1767
Total of -0.02 and -20847363.
-20847363.02
Subtract -721780 from 0.41.
721780.41
What is the difference between 21180.83068 and -0.4?
21181.23068
Put together 0.1 and -30512723.
-30512722.9
Add together 2 and -29.1827674.
-27.1827674
21152.6 - 1
21151.6
Add together -7967 and 169805.
161838
What is the distance between 15205 and -6128?
21333
Total of 75 and 1.56822.
76.56822
11904+73047
84951
What is 342 plus -1844878?
-1844536
Put together -1.2 and -5940.70149.
-5941.90149
Work out 280.905 - 0.01.
280.895
What is 0.0057 take away 85.0995?
-85.0938
What is -3.1 - 920.7?
-923.8
Sum 1 and -49.47329.
-48.47329
What is 0.2 plus -3284714?
-3284713.8
2 + -3007446944
-3007446942
Work out 1 - 6968780.
-6968779
What is -3 minus 480116?
-480119
Calculate -1.79 - -5084.8.
5083.01
Put together 270.4 and -2.1467.
268.2533
What is -77686 - 0.9418?
-77686.9418
Calculate -3058 - 8379.
-11437
What is -1123 + -30.602?
-1153.602
What is the difference between -12.574 and 955332?
955344.574
Add together -11.09 and -0.030291.
-11.120291
Sum 0.617387 and -0.24.
0.377387
Add together -37.76558 and -0.23031.
-37.99589
What is -5 + 179409?
179404
What is -0.15963 + 2755?
2754.84037
Total of 155.59738 and -1262.
-1106.40262
What is 50741.193 minus 1151?
49590.193
-16.59167211 - -48
31.40832789
73464.5 + -85.3
73379.2
Work out 148.27694 + -0.089.
148.18794
What is 6756 + 275911?
282667
Put together 22 and -7287599.1.
-7287577.1
-2 + 1301783272
1301783270
30.8 + 6241
6271.8
What is -3962992 less than 0.03?
3962992.03
1 - -17565383
17565384
9.5 + -688.25
-678.75
What is the difference between 2 and 79228014859?
79228014857
Total of 0.299469 and 4.6.
4.899469
Put together -35026978 and -223.
-35027201
What is -36.50567 less than -3?
33.50567
Work out -1055955141 - -2.
-1055955139
Put together 0.233 and 207224.
207224.233
What is 166780 less than -4628.3?
-171408.3
Subtract -14389.3 from 0.27513.
14389.57513
What is the difference between -1002.4 and -80?
922.4
What is -0.047711865 + -0.3?
-0.347711865
What is -0.01015938 take away -2?
1.98984062
955406 + 0.209
955406.209
838100 - -0.081
838100.081
-65116680 - -28
-65116652
Work out -20989 + 668183.
647194
0.3+167.5755
167.8755
What is 332336.766 less than -0.2?
-332336.966
Add together -44489683 and -0.193.
-44489683.193
Subtract -4232.058 from 0.3.
4232.358
What is 3527 plus -11365?
-7838
What is -231 plus -243.19739?
-474.19739
What is the distance between 20 and -108827?
108847
What is 11012.59 less than -15080?
-26092.59
Add -218 and 2183360.
2183142
What is 0.2 minus -488629.91?
488630.11
What is -31041321 plus -5?
-31041326
What is -0.68776 plus -1.56?
-2.24776
Work out -24.9 - -475057.
475032.1
What is the difference between -397.4 and -5478.5?
5081.1
What is 0.06 less than -0.024503749?
-0.084503749
Calculate 47625.5 - -6.
47631.5
Calculate -7.5 - -3.32448.
-4.17552
What is 0.05 + -2398302.34?
-2398302.29
Add 9304597 and -9.
9304588
Subtract 54.1634 from -28.
-82.1634
Calculate 0.1071 - 404557.16.
-404557.0529
Subtract 7835.4 from 530.
-7305.4
What is the distance between 0.5 and -7208321527?
7208321527.5
-45.6 - -166409
166363.4
What is 0.0734 + -1030270?
-1030269.9266
What is the difference between -4.775 and -112516?
112511.225
Add -56251862 and 11.
-56251851
Subtract -1976 from -4409.
-2433
What is 79 take away -463260.72?
463339.72
Subtract 0.008 from -17963.
-17963.008
16.744 + 1659.871
1676.615
-5.2 + 90455
90449.8
What is -1.3 plus -3828207?
-3828208.3
What is -2 minus -1343.644798?
1341.644798
Sum -0.0888089179 and -13.
-13.0888089179
What is 12 less than -23129.0915?
-23141.0915
Work out -0.8 + 35716749.
35716748.2
3 - 16086866
-16086863
-293.9755 - -1.576
-292.3995
-1435529 + -0.189
-1435529.189
What is -0.09 + 5556739?
5556738.91
What is -1798676.9884 + 0.3?
-1798676.6884
94368 + 113
94481
Sum 464605 and -6.9.
464598.1
-772162793+-3
-772162796
What is the difference between -6417921121 and 0.4?
6417921121.4
-1404.9857 + 1
-1403.9857
Add together -222.54 and 34226.
34003.46
-5725852 - 0.04
-5725852.04
What is -2509.551839 - 0.4?
-2509.951839
Work out -315 + -10165700.
-10166015
What is 7973 + -9960?
-1987
What is -7.242449 + 129?
121.757551
-0.1 - 76094.556
-76094.656
Work out -198756.042 + 0.3.
-198755.742
What is 6 take away 140.3473?
-134.3473
Total of 51.354 and -1093.7.
-1042.346
Add -5806529.6 and -4.
-5806533.6
What is 10714 - 328228?
-317514
What is the difference between -119 and -44290?
44171
Sum 221388 and 0.0319.
221388.0319
Put together -1 and 38884.746.
38883.746
6096725+6
6096731
Put together 60 and 764022.3.
764082.3
-4.876503 - -495
490.123497
What is 0.644996 - -275?
275.644996
Calculate -33517431 - -147.
-33517284
What is -3 + 1150328?
1150325
What is 17674 plus -27041?
-9367
Calculate -0.04289 - 9949.
-9949.04289
What is 19 minus 244948?
-244929
-1773268+-4476
-1777744
Calculate 18 + 4.294146.
22.294146
Subtract 13.3 from -3482552.
-3482565.3
Subtract -1 from -1.553637.
-0.553637
Subtract 28.178 from 23180.4.
23152.222
Sum 4639813 and -3.7.
4639809.3
Calculate 209.8731 + -2.
207.8731
Subtract -225043 from 6.
225049
Total of 780.9 and -615531.
-614750.1
What is -205132694 take away 0.2?
-205132694.2
What is the difference between 0.092 and -6099.17?
6099.262
Add -20 and -3842256.
-3842276
-57.95 + 581.14
523.19
What is the differ
|
{
"pile_set_name": "DM Mathematics"
}
|
s(-4). What is the units digit of (5 - -3)/(-1 + f)?
8
Suppose -2*t + 3 = 3*y + 15, -4*y = 8. What is the tens digit of (t - (-1 - 4))*16?
3
Let h = 21 - 7. What is the units digit of h?
4
What is the units digit of (-25)/(4 - 3 - 2)?
5
Suppose 4*o - 89 + 1 = -4*i, 0 = 4*i. What is the tens digit of o?
2
Let b be (68/6)/(11/(-33)). What is the tens digit of b/(-3) - (-4)/(-12)?
1
Let m = 28 + -14. Let j = m + -5. Let c = -5 + j. What is the units digit of c?
4
Let w(y) = 0*y + 1 + 0 - y. Let u be 9/(-1) + 9 + -8. What is the units digit of w(u)?
9
Let u(s) = -7*s - 1. What is the tens digit of u(-3)?
2
Suppose 0 = 4*t - 8, -3*t + 182 - 21 = 5*s. What is the units digit of s?
1
Let a = -14 + 26. Suppose -a = -3*i + 21. What is the units digit of i?
1
What is the tens digit of (1 - 10/4)/((-15)/1510)?
5
Suppose 3*l - d - 317 = 0, l + l + 3*d - 226 = 0. What is the tens digit of l?
0
Let i = 38 - 7. What is the tens digit of i/3 - 2/(-3)?
1
Suppose -5*h = 5*w - 135, -3*w = 2*h - 6*w - 74. What is the units digit of h?
1
Let k(x) = x**3 + 8*x**2 + 4*x - 8. What is the tens digit of k(-4)?
4
Let f = 8 + -1. Suppose f*o = 2*o + 40. What is the units digit of o?
8
Suppose 24*z + 2394 = 33*z. What is the hundreds digit of z?
2
Let u(d) = d**3 - 4*d**2 - 5*d + 3. Let v be u(5). What is the units digit of (v/2)/(12/80)?
0
Let h be (-54)/(-10) - (-2)/(-5). Suppose h*p + 7*q = 2*q + 115, -q + 43 = 2*p. Suppose -m - 38 = -3*r, -3*m = 5*r - 20 - p. What is the units digit of r?
1
Let v(t) = t**3 + t**2 - t + 104. What is the tens digit of v(0)?
0
Suppose 5*q - 2*z - 20 = 0, -4*q + 3*z + 16 = z. Suppose 0 = -v + 4*g + 1 + 10, -q*g = -4*v + 44. What is the tens digit of v?
1
Suppose 5*w - 68 = w - 2*b, -4*b = -w - 1. Let x = -9 + w. What is the units digit of x?
6
Let l(o) = -o**2 - 7*o - 1. Let x be (-1)/3 - 56/(-24). Suppose -n - 5 = -x. What is the units digit of l(n)?
1
Suppose 21 = 5*a - 2*v, 2*a - 3*v - 4 = -0*a. Suppose 0 = -i - 4*f + 2*f + a, -4*f - 16 = 0. What is the units digit of i?
3
Let n(z) = z + 1. Let s be n(-1). Let v = s + 3. What is the units digit of v?
3
Let q(g) = 3*g**2 + 6*g - 1. What is the tens digit of q(-5)?
4
Suppose -15*l + 150 = -14*l. What is the hundreds digit of l?
1
Let o(y) = -y**3 - 12*y**2 - 12*y - 9. What is the units digit of o(-11)?
2
Let u be ((-16)/4 - 20)/(-1). Let s = -14 + u. What is the units digit of s?
0
Let d be -1 - (-5 + 0 + -1). Suppose d*q - 8 - 27 = 0. Let c = 12 - q. What is the units digit of c?
5
What is the units digit of 2/11 - 2232/(-66)?
4
Let r(q) = q**2 + 14*q + 15. Suppose 0 = -5*j - 24 - 46. What is the tens digit of r(j)?
1
Suppose -q + r + 32 + 5 = 0, 5*r = -25. What is the tens digit of q?
3
Suppose -6*w + 3*w = -198. Suppose 27 = y + 2*q - 5*q, w = 4*y + 2*q. What is the tens digit of y?
1
Let p(u) = 0 - 3*u + 7 + 0. Let j be p(6). Let k = 24 + j. What is the units digit of k?
3
Suppose -6 = 3*h, k - 3*h = 6*k - 584. What is the tens digit of k?
1
Suppose -4*v + 223 = 79. Let u be (1 - 16) + -1 + -1. Let g = u + v. What is the units digit of g?
9
Let y = -44 - -213. What is the tens digit of y?
6
Let q(k) be the first derivative of -k**3/3 - 9*k**2/2 - 6*k - 3. What is the units digit of q(-8)?
2
Let g be -1 + 1 + 1 + 1. Suppose -3*b - g*b = 50. What is the units digit of 15/b*(-4)/3?
2
Suppose -3*u = -4*u. Let x(s) = 2*s**3 - 15*s**2 + 8*s - 4. Let o be x(7). What is the units digit of o - (u + 0)/3?
3
Suppose -b - 1 - 3 = 4*p, b + 3*p + 1 = 0. Let g(x) = -x**2 + 8*x + 5. What is the units digit of g(b)?
5
Let x = -251 - -362. What is the units digit of x?
1
Let n(m) = m**2 + 5*m + 6. Let l be n(-4). Let u be (-3)/(-6*(-1)/(-4)). Suppose -2 = 5*g - 3*j, 3*j - u - 14 = -l*g. What is the units digit of g?
2
Suppose 0*s + 336 = 3*s. What is the hundreds digit of s?
1
Suppose 12 = 3*i + i. Suppose -5 = -2*r + 5. Let j = r - i. What is the units digit of j?
2
Let s(f) = 0*f - f + f**2 + 7*f**3 - 3*f**3. Suppose 4 = 5*y - 1. What is the units digit of s(y)?
4
Let z be 1 + (2 - (-4)/(-1)). Let o(r) = -21*r**3 + r + 1. Let m be o(z). Suppose -2*y = -5*y + m. What is the units digit of y?
7
Let k(g) = 6*g**2 - g - 11. Let t(l) = -l**2 + l + 1. Let b(r) = -k(r) - 5*t(r). What is the units digit of b(-5)?
1
Suppose c + 25 = -i, 3*i - 2 - 3 = c. Let z = -14 - c. What is the units digit of z?
6
What is the units digit of -6 + 9 - (1 + -7)?
9
What is the units digit of (-4)/(-5) - 6944/(-20)?
8
Let s be (-1214)/(-22) + (-2)/11. Suppose -3*d = -5*j + s, 2*j - d + 17 = 39. Let m = 18 - j. What is the units digit of m?
7
Suppose 318 - 1038 = -12*p. What is the tens digit of p?
6
Suppose -3*d = -2 - 4. Suppose -d*r + 5 = -9. What is the units digit of r?
7
What is the units digit of 0 + ((-2486)/(-12) - (-2)/(-12))?
7
Let y be (-4)/6*72/2. Let t = -14 - y. What is the units digit of t?
0
What is the tens digit of (9/(-12))/((-1)/28)?
2
Let l(d) = -7*d + 1. Let u(m) = -m**2 - 9*m + 11. Let k be u(-8). Suppose -5*w + k = -4*s, -2*s = -0*s + w - 1. What is the units digit of l(s)?
8
Let t = -28 + 85. What is the units digit of t?
7
Suppose -2208 = 7*k - 19*k. What is the tens digit of k?
8
Suppose -q = 4*q. Let w(m) = q*m + 1 - 7 - 2*m + m. What is the units digit of w(-8)?
2
Let y be (-14)/35 - 224/(-10). Let n = y + -13. What is the units digit of n?
9
Let f = 112 + -31. What is the tens digit of f?
8
Suppose 0 = -3*a + 4*a - 5. Suppose -a*z - 3*l + 97 = 0, -3*z = 2*z + 5*l - 105. What is the units digit of z?
7
Suppose 5*y - 34 + 9 = 0. Suppose x + 3*h = y*x - 44, -x - 4 = 3*h. What is the tens digit of 42/(-8)*x/(-3)?
1
What is the units digit of ((-15)/4)/((-3)/20)?
5
Let z be (-10)/3*(-18)/(-15). Suppose 5*s = 4*o + 97, -s + 5*o = 4*o - 20. Let f = s - z. What is the units digit of f?
1
Let h = 9 + -9. Suppose -n = -h + 1. What is the units digit of (-4 + (n - -4))*-11?
1
Suppose -20 = 3*k - 8. Let s be (52 - -2)*1/3. Let l = s + k. What is the units digit of l?
4
Suppose -6*b = -3*b - 9. Let z = -1 + b. What is the units digit of z?
2
Let l be (0/(1 + 0))/(-2). Suppose -5*n - 2*j + 11 = l, 8*j = 3*j - 10. What is the units digit of n?
3
Let g = 36 - -8. What is the units digit of g?
4
Let s be 96/(-36)*(-4 + 1). Suppose z - s + 1 = 0. What is the units digit of z?
7
Let z = -105 + 157. Suppose z = 5*o - 43. What is the tens digit of o?
1
Suppose 423 = -4*y + 7*y. What is the hundreds digit of y?
1
What is the units digit of 77 + (-1 + 0 - 1)?
5
Let g be 4/(-6)*(-13 + -2). Suppose -4*f = -2 - g. Suppose 45 = f*o - 3*m, -54 = -4*o + 4*m - 3*m. What is the tens digit of o?
1
Suppose -4*i - 23 = 2*m - 59, 38 = 5*m - 3*i. What is the units digit of 1 + -1 + 0 + m?
0
Let f(x) = 2*x**2 + 12*x + 10. Let m be f(-8). Suppose 0 = -2*u + c - 93, -4*c - m = -0*u + u. What is the units digit of u/(-8) + (-1)/(-4)?
6
Let t be (7 + -8)/((-1)/(-26)). Let f be (-1 + t/3)*-3. Suppose -5*x + 11 + f = 0. What is the units digit of x?
8
Let n = -3 + -2. Let a(u) = u**3 + 4*u**2 - 7*u - 3. Let c be a(n). What is the units digit of (0 + (-6)/(-7))*c?
6
Let d(p) = -2*p**3 + 3*p**2 - 1. Let l be d(-2). Suppose 2*t - l = t. What is the tens digit of t?
2
Let a = -177 - -365. What is the tens digit of a?
8
Let v(q) = -2*q - 8. Let i be v(-6). Suppose 11 = h + i. Suppose 0 = -4*k - 5*b + 23, -5*b = -k + 5 + h. What is the units digit of k?
7
Let s(o) = 2*o**2 - 3*o - 5. Let g be s(-4). Suppose 3*b = g + 21. Suppose -v + b = 5. What is the units digit of v?
5
Let p(i) = -i**2 + 7*i - 6. Let z be p(4). Suppose -z*y = -y - j - 38, -28 = -3*y - 2*j. What is the units digit of y?
8
Suppose a - 5*v - 55 = 0, -a = 4*v - 3 - 79. What is the tens digit of a?
7
Let x(k) = k**3 - 5*k**2 - 8. Let o = -23 + 29. What is the tens digit of x(o)?
2
Suppose q = 4*q - 3. Let n(j) = 42*j - 1. What is the units digit of n(q)?
1
Let c(v) be the second derivative of -v**3 + 1/12*v**4 - 7/2*v**2 + 0 + 4*v. What is the units digit of c(8)?
9
Let z(r) = -r**2 + 5*r - 3. Let u be z(4). Let y = u + 5. Let b(q) = 3*q - 1. What is the units digit of b(y)?
7
Let u = 56 + 34. Suppose -7*q + u = -2*q + 3*y, q - 11 = -2*y. What is the tens digit of q?
2
Suppose -3*s + 8 = -7*s. What is the units digit of (-4)/2 - -2 - s?
2
Let p(o) = o**3 + 7*o**2 + 4*o + 5.
|
{
"pile_set_name": "DM Mathematics"
}
|
he second derivative of o(a) wrt a.
12*a
Let a(f) be the second derivative of f**7/105 + f**5/60 + f**2/2 - f. Let g(o) be the first derivative of a(o). Find the third derivative of g(v) wrt v.
48*v
Let m(a) be the third derivative of -a**8/84 + a**5/20 + 5*a**2. Find the third derivative of m(y) wrt y.
-240*y**2
Let y be 64/(-12)*(-6)/4. Let q = 13 - y. Differentiate 3 + 3 - q + 3*s with respect to s.
3
Let b(t) be the second derivative of 0*t**5 - t**3 + 0 + 0*t**4 - 1/7*t**7 + 0*t**2 + 0*t**6 - 3*t. Find the second derivative of b(m) wrt m.
-120*m**3
Let k(h) = 18*h**4 + 6*h**3 - 6*h - 16. Let f(l) = 53*l**4 + 17*l**3 - 17*l - 47. Let i(v) = -6*f(v) + 17*k(v). What is the first derivative of i(x) wrt x?
-48*x**3
Let p be 2*(0 + (-4)/(-8)). Let r(j) be the first derivative of 0*j**3 - p + 1/2*j**4 + 0*j - 1/2*j**2. Find the second derivative of r(x) wrt x.
12*x
Let i be 6/9 - 6/9. Find the third derivative of -4*a**5 - 5*a**2 + a**5 + i*a**5 wrt a.
-180*a**2
Suppose 0 = 2*q - 19 + 5. What is the first derivative of 4 - q*o**3 + o**3 - 5*o**3 wrt o?
-33*o**2
Let s(z) = 36*z**3 + z**2 - 5*z - 11. Let i(w) = 35*w**3 - 4*w - 10. Let g(k) = -5*i(k) + 4*s(k). What is the third derivative of g(o) wrt o?
-186
Suppose 0 = -4*x - 4*h + 8, -2*h = 2*x + x - 7. Differentiate -3 - 3*l + x + 1 - 2 wrt l.
-3
Let s(f) = 20*f**6 + 6*f**5 - 6*f**3 - 19*f**2. Let j(c) = -c**6 - c**5 + c**3 - c**2. Let o(y) = 6*j(y) + s(y). What is the third derivative of o(r) wrt r?
1680*r**3
Suppose 1 = -2*p + 11. Let b(o) = 4*o**2 + 5*o + 3. Let f(l) = 2*l**2 + 0*l + l**2 + 2 + 4*l. Let c(n) = p*f(n) - 4*b(n). What is the derivative of c(d) wrt d?
-2*d
Let y(i) = -i**6 + 3*i**4 + 21*i**2 + 3*i + 3. Let s(x) = 2*x**4 + 20*x**2 + 2*x + 2. Let t(a) = 3*s(a) - 2*y(a). Find the third derivative of t(o) wrt o.
240*o**3
What is the derivative of 6*y**2 - 1 - 8 - 1 + 7 wrt y?
12*y
Let c(r) be the first derivative of 11*r**6/3 + 13*r**3/3 - 22. Find the third derivative of c(v) wrt v.
1320*v**2
Let z(m) be the second derivative of m**8/2240 - m**7/1260 + m**4/4 - 3*m. Let a(l) be the third derivative of z(l). Find the third derivative of a(w) wrt w.
18
Let z(l) = l**2 + 6*l + 4. Let t be z(-6). Find the first derivative of f**4 - 4*f**4 + 4*f**t - 1 wrt f.
4*f**3
Suppose -2*k + 3 = -1. Let r be (-2 + k)/(3 + -1). What is the third derivative of 3*q**2 + r*q**5 + 0*q**2 - q**5 + 0*q**2 wrt q?
-60*q**2
Let w(k) = 10*k - 7. Let x(f) = 29*f - 22. Let c(l) = -17*w(l) + 6*x(l). What is the first derivative of c(d) wrt d?
4
Let h = -6 - -10. What is the second derivative of 8*z**2 + 6*z - h*z - 7*z**2 - z wrt z?
2
Find the second derivative of 11*t**4 - 15*t**4 - 10*t**4 - t wrt t.
-168*t**2
Let w(n) be the first derivative of 25*n**2/2 - 43*n - 16. What is the first derivative of w(c) wrt c?
25
Differentiate 3 - 3 + 2*i**3 - 5 wrt i.
6*i**2
Let h(q) = 21*q**3 + 3*q**2 - 5*q + 3. Let b(n) = 20*n**3 + 4*n**2 - 5*n + 4. Let u(z) = -3*b(z) + 4*h(z). Find the second derivative of u(l) wrt l.
144*l
Let l(h) = h**3 - 7*h**2 - h + 9. Let m be l(7). What is the derivative of -4*f + 2*f - 4 + 3*f + m wrt f?
1
Find the third derivative of -25*s**6 - 36*s**6 + 82*s**6 - 15*s**2 wrt s.
2520*s**3
Let z(s) = 9*s**4 + 13*s + 5. Let d(c) = -5*c**4 - 6*c - 3. Let x(t) = -13*d(t) - 6*z(t). Find the first derivative of x(h) wrt h.
44*h**3
Let l(n) be the first derivative of n**5/60 + n**4/8 - n**3 - 1. Let s(v) be the third derivative of l(v). Find the first derivative of s(r) wrt r.
2
Let m = 7 - 1. Suppose -4*z = -3*z - m. What is the third derivative of -2*r**z - 3*r**2 + 4*r**6 + 0*r**2 wrt r?
240*r**3
Let w(p) = -46*p**3 - 21*p**2 + 11. Let s(y) = -9*y**3 - 4*y**2 + 2. Let i(d) = 11*s(d) - 2*w(d). Find the third derivative of i(h) wrt h.
-42
Find the third derivative of -4*t**5 - 5*t**5 - 3*t**5 - 128*t**2 + 131*t**2 wrt t.
-720*t**2
Let d(b) = 19*b**2 + 17*b. Let j(s) = -10*s**2 - 9*s. Let z(w) = -3*d(w) - 5*j(w). Find the second derivative of z(c) wrt c.
-14
What is the derivative of -9 + 5*o - 2 - 2 wrt o?
5
Let k be 2/(-8) + (-5)/(-4). Let y(z) be the first derivative of -k - 1/5*z**5 + 0*z**2 + z + 0*z**3 + 0*z**4. Find the first derivative of y(r) wrt r.
-4*r**3
Let g = 8 - 4. Suppose -g*y = x - 5*x - 4, -x = 2*y - 8. Find the first derivative of -5*k**x + 3*k**2 + 6 - 5 wrt k.
-4*k
Differentiate -12 + 404*j**2 - 454*j**2 + j - j with respect to j.
-100*j
Let p(c) = -c**3 + 7*c**2 - 6*c + 9. Let r be p(6). Let f be (r + -3)*6/9. What is the derivative of -2*a**4 - 3*a**f + 6*a**4 - 2 wrt a?
4*a**3
Let f(n) be the second derivative of 0*n**3 + 0*n**7 + 1/4*n**4 + 0*n**5 + 0*n**2 + 0 + 1/56*n**8 - 3*n + 0*n**6. Find the third derivative of f(o) wrt o.
120*o**3
Let h(y) be the first derivative of -9*y**2/2 - 9*y - 10. Differentiate h(p) with respect to p.
-9
Let t(b) be the third derivative of 19*b**9/504 - b**5/5 - 21*b**2. Find the third derivative of t(p) wrt p.
2280*p**3
Let j(a) be the second derivative of 19*a**6/30 - 6*a**3 - 32*a. What is the second derivative of j(b) wrt b?
228*b**2
Let d = 1 - -1. Differentiate 0*a**3 - d*a**2 + 2*a**2 - 3*a**3 - 1 with respect to a.
-9*a**2
Let w(j) be the first derivative of -2*j**3/3 - j - 1. Find the first derivative of w(x) wrt x.
-4*x
Let l(h) = -4*h**4 - 2*h + 8 - 2 + 7*h. Let o(i) = -6*i**4 + 7*i + 9. Let a(m) = 7*l(m) - 5*o(m). Differentiate a(k) wrt k.
8*k**3
Let x(r) be the second derivative of 20*r**3/3 + 17*r**2 + 12*r - 3. What is the derivative of x(i) wrt i?
40
Let y(t) = -t**2 + 12*t + 3. Let a be y(12). What is the second derivative of 2*w - a*w**2 + 3*w + 0*w - 3*w wrt w?
-6
Let g(c) = -c**5 + c. Let m(i) = -3*i**5 + 3*i. Let s(y) = 11*g(y) - 4*m(y). What is the second derivative of s(w) wrt w?
20*w**3
Let y be (-20)/25 + 4/5. Let s(u) be the first derivative of -1/2*u**2 - 3 + 0*u**4 + 0*u + 3/5*u**5 + y*u**3. What is the second derivative of s(q) wrt q?
36*q**2
Let k(t) = -t**2 - 8*t - 7. Let l be k(-6). Suppose -a = 3*v - 15, -5*v + 14 + 21 = l*a. What is the second derivative of a*n**2 - n**2 - 2*n + 4*n wrt n?
4
Let a(x) = 2 - 8*x + 2*x + 0 + 2*x. Let r(j) = 4*j - 2. Let s(g) = 3*a(g) + 4*r(g). What is the first derivative of s(y) wrt y?
4
Let q(d) be the first derivative of -d**5/15 - 2*d**3/3 - 3*d**2/2 - 1. Let h(x) be the second derivative of q(x). What is the derivative of h(j) wrt j?
-8*j
Let n(u) be the third derivative of 1/60*u**5 + 0*u**3 - 1/60*u**6 + 0*u + 0 + 2*u**2 + 0*u**4. Find the third derivative of n(l) wrt l.
-12
Let h = 11 + -6. Let j(c) = -h*c**2 - 3*c**3 - c**2 + 4 + c**2 + 3*c**2. Let t(u) = -1. Let y(f) = j(f) + 4*t(f). Find the third derivative of y(q) wrt q.
-18
Suppose 2*v + 4 = -2*i, -3*v - 2*i = 1 + 3. Differentiate -2*f**2 + 7*f**2 + v - 2*f**2 + 1 wrt f.
6*f
Find the third derivative of -3*v**4 - 7*v**2 - v**4 + 3*v**4 wrt v.
-24*v
Let z(r) = -2*r - 8. Let n be z(-6). Let q(w) = -2*w**2 - 10*w - 6. Let b be q(-4). What is the derivative of -2*c**3 + n + b - 4 wrt c?
-6*c**2
Let j(x) = 5*x**4 - 2*x**3 + 8*x**2 - 2*x + 2. Let g(t) = t**4 + t**3 + t - 1. Let f(a) = 2*g(a) + j(a). What is the third derivative of f(s) wrt s?
168*s
Suppose -2*c + 1 = -3. What is the second derivative of 3*d**2 + 2 - 1 - 1 - c*d wrt d?
6
Let s(v) be the second derivative of -v**7/168 - v**4/24 - v**3 + 6*v. Let b(d) be the second derivative of s(d). What is the first derivative of b(y) wrt y?
-15*y**2
Let u(i) = -46*i**4 - 11*i**2 - 79. Let b(d) = -15*d**4 - 4*d**2 - 26. Let y(j) = 11*b(j) - 4*u(j). Find the first derivative of y(p) wrt p.
76*p**3
What is the second derivative of 10*v + 6*v**3 + v - 4*v wrt v?
36*v
Let k be -3*(2 - 9/3). What is the third derivative of 4*h**2 + h**k + 2*h**3 - 2*h**3 wrt h?
6
Let c(s) be the second derivative of -s**6/120 + s**5/60 + s**3/3 - s. Let a(n) be the second derivative of c(n). Find the second derivative of a(h) wrt h.
-6
Let g(k) = -15*k**4 + 17*k**2 - 5. Let f(p) = p**4 - p**2 + 1. Let s(v) = -5*f(v) - g(v). Find the third derivative of s(b) wrt b.
240*b
Find the second derivative of -z**4 + 2*z + 0*z - 2*z**4 + 6*z wrt z.
-36*z**2
Let s(b) be the first derivative of 5*b**6/6 + 7*b**3/3 - 5. What is the third derivative of s(j) wrt j?
300*j**2
Differentiate 5 - 5*c**3 + 4 - 13
|
{
"pile_set_name": "DM Mathematics"
}
|
ort -13/7, b, 2.
-13/7, b, 2
Let z be 12/(-14) - (3 + -4). Let q = -78.2 + 84. Let m = -5.9 + q. Sort m, z, -3/8 in descending order.
z, m, -3/8
Let x(j) = j**2 + 11*j - 17. Let v be x(-12). Suppose 1 = -11*r - 10. Put r, v, 2, 8 in descending order.
8, 2, r, v
Let p(x) = x**3 + x**2 - 2. Let m be p(2). Suppose -q - 8 = -m. Let j(y) = -y**2 + 4*y + 3. Let s be j(5). Sort -1, q, s.
s, -1, q
Let u be 2/6 + (-10)/(-6). Let x = 0.02 + 0.08. Put 2/3, x, u, 3/7 in descending order.
u, 2/3, 3/7, x
Let b = 2.823 + 1.177. Let c = 9 - 4. Let i = c + -18. Put i, b, 3 in decreasing order.
b, 3, i
Let k = -808 + 755. Sort 0.3, -0.2, -6, k in ascending order.
k, -6, -0.2, 0.3
Suppose 0 = -o + 9*o - 48. Let p(q) = -q**3 + 5*q**2 + 9*q - 16. Let s be p(o). Sort -4, 0, s, -3 in ascending order.
-4, -3, 0, s
Let x = 1578 + -1542. Put -5, -2, x in decreasing order.
x, -2, -5
Let n be -5*14/(-35) - 0. Sort 3, n, 5, 4 in ascending order.
n, 3, 4, 5
Let w = -2 - 0. Let c = 61 - 673/11. Sort c, -1, w, -5 in decreasing order.
c, -1, w, -5
Let b = -0.8 - -5.8. Let x be (-2)/(-3) + 428/(-3). Let d = 996/7 + x. Put 3/11, b, d in increasing order.
3/11, d, b
Let l = -12.22 - -13. Let u = l - 0.9. Let i = -0.02 - u. Put 0.5, i, 5 in ascending order.
i, 0.5, 5
Let u = -144 - -145. Let g = -1.2 + 0.2. Put -3/4, g, u in descending order.
u, -3/4, g
Let b = -6.392 + 2.392. Put -2/23, 23.5, b, -0.2 in decreasing order.
23.5, -2/23, -0.2, b
Let l = -13/44 - -1/22. Let p(q) = -6*q + 4. Let c be p(3). Let t be -2 + (c/(-10) - -1). Sort t, l, -2/5 in decreasing order.
t, l, -2/5
Let v be (-291)/(-57) - 1 - 4 - 0. Put -4, -1/2, v, 3/2 in increasing order.
-4, -1/2, v, 3/2
Let u = 212.7 + -212.4. Sort -1/9, u, -53, 0.5.
-53, -1/9, u, 0.5
Let f be 48/(-18)*(3/(-2) + 3). Put f, 4, 125 in descending order.
125, 4, f
Let i = 2.2 + -20.2. Let x = 17.94 + i. Put -0.5, x, -4 in decreasing order.
x, -0.5, -4
Let b be (3 - 22/8)/((-5)/20). Sort b, 2, 3, -4 in descending order.
3, 2, b, -4
Let k(a) = 3*a + 1. Let q(y) = -14*y - 11. Let l(f) = 5*k(f) + q(f). Suppose 0 = -z + 4*z - 12. Let h be l(z). Sort -5, h, 2.
-5, h, 2
Suppose -4*v + 0*v + 20 = c, 4*v - 8 = 2*c. Let a be (-11 - -10)*(-2)/(-76)*v. Sort a, -2/5, 1/5 in increasing order.
-2/5, a, 1/5
Suppose -616 = 5*s - 456. Sort -2, -5, s, -3 in descending order.
-2, -3, -5, s
Let x be (-1)/(-3) - 494/(-57). Suppose 5*d + 64 = x*d. Let l = d - 11. Put 0, 2, l in increasing order.
0, 2, l
Let h be -4*(-2 - -3)*-1. Let i be h/2 + -3 + -2. Put 0.12, i, 3 in increasing order.
i, 0.12, 3
Let j = 84/13 - 1609/247. Sort -2, 0.4, j, -3/4 in descending order.
0.4, j, -3/4, -2
Suppose -5*q + 2*p = -18, -5*q = -q + 3*p - 19. Suppose 5*f - q*x = 40, 9 = f - 4*x + 3*x. Sort 2, -1, f, -5 in decreasing order.
f, 2, -1, -5
Let b be 20/(-252) - 1/7. Let s = -13 - -8. Put 5, s, -3/2, b in descending order.
5, b, -3/2, s
Let j be (3 + -1 + -2)/(-4) + -4. Suppose -2*n - 4*b - 12 = 0, -4*n + b + b = 24. Put 4, n, j in decreasing order.
4, j, n
Let x = -2/31 - -37/93. Let g = -0.92 - -0.89. Sort 0.2, g, x.
g, 0.2, x
Suppose 5*h - 45 = -5*t, -5*t - 3*h + 4 = -31. Suppose -25 = -5*r + 5*x, t*x + 16 = -5*r - 4. Sort 4, 11, r, -4 in descending order.
11, 4, r, -4
Suppose -1 = s - 2*x, 10 = 5*s - 4*x - 3. Put -4, 0, 2, s in decreasing order.
s, 2, 0, -4
Let p = 977 - 974. Sort 2/23, p, 1.6 in descending order.
p, 1.6, 2/23
Let h = 296.8 - 265. Let a = 32 - h. Sort 1, a, -5 in increasing order.
-5, a, 1
Let o be (6/21)/(21/49). Sort o, -4, -1/9.
-4, -1/9, o
Suppose 4*c - 3*c - 48 = -5*i, 2*i - 30 = -4*c. Sort i, 3, 0 in descending order.
i, 3, 0
Let g = -67 + 67.3. Let x = -32 - -31.7. Sort 1/4, x, -1/3, g in decreasing order.
g, 1/4, x, -1/3
Suppose 6 = -2*l + 2*x, -3 = -l + 2*x - 11. Suppose 2*s = -l*s + 12. Suppose 6 = s*w, -2*y - 5*w + 5 + 11 = 0. Put y, -2, -1 in ascending order.
-2, -1, y
Let w = 6.76 + -14.86. Sort -0.2, w, 0.5 in increasing order.
w, -0.2, 0.5
Let p(g) = 42*g + 40. Let u be p(-1). Put u, 1, -3, -9 in decreasing order.
1, u, -3, -9
Let a(w) = -w**3 + 6*w**2 - 4. Let o(f) = -f**3 - f**2 - f + 6. Let t be o(0). Let d be a(t). Let p = -1 - -4. Sort p, 5, d in increasing order.
d, p, 5
Let s be 1 - 0 - (5 - 378/99). Sort 24, -2/9, 1, s in descending order.
24, 1, s, -2/9
Let q = 25 + -25. Suppose 4 = 2*b - j - q*j, 4*j - 20 = -b. Sort b, 2, 16 in decreasing order.
16, b, 2
Suppose -5*l = -13 - 107. Suppose -3*n + 12 - l = 0. Put -5, n, 33, -1 in increasing order.
-5, n, -1, 33
Let c = 185.1 - 185. Sort c, -0.5, -2, 2.
-2, -0.5, c, 2
Let s = -22 - -18. Let t(x) = x**2 + 8*x + 10. Let w be t(s). Sort -1, w, 3 in decreasing order.
3, -1, w
Let q(t) = -t + 4. Let f(z) = -5*z + 15. Let w(x) = -2*f(x) + 9*q(x). Let o be w(-1). Sort o, -2, 0, 7.
-2, 0, o, 7
Let l(q) = -q**3 + 4*q**2 + 4*q + 6. Let d be l(5). Let a(b) = -5*b + 22. Let f be a(6). Let c be (-6)/24 - (0 + (-30)/f). Sort c, d, -3 in descending order.
d, -3, c
Suppose 113 - 107 = 3*d. Sort -17, -1, 4, d.
-17, -1, d, 4
Let n(b) = b**2 + 25*b + 23. Let a be n(-24). Let h be (-14)/6 + 1/3. Sort 2, a, h in descending order.
2, a, h
Let j = 2.414 - 0.324. Let b = j + -0.09. Suppose 18 = -2*x - 5*y, 0 - 2 = -x + 3*y. Put 4, x, b in ascending order.
x, b, 4
Let p(z) = 16*z + 274. Let v be p(-16). Put 4, v, 7 in ascending order.
4, 7, v
Let g = 3.92 - -0.08. Let w = -1.5222 - -0.5222. Put g, 0.6, w, 1/4 in decreasing order.
g, 0.6, 1/4, w
Let z = -13 - -13.032. Let i = 0.168 + z. Suppose -5*b - 4 + 14 = 0. Sort i, -5/3, b.
-5/3, i, b
Suppose 5*f + 0*a - 140 = 5*a, f = -5*a + 22. Let x be f/12 - 9/(-12). Sort 5, 2, x in descending order.
5, x, 2
Suppose 0 = 3*w - 13 + 4. Let a(j) = -6*j**2 + 20*j - 13. Let r be a(3). Put r, w, 2 in ascending order.
r, 2, w
Suppose 15*a - 64 + 49 = 0. Put a, -4, -3, -10 in ascending order.
-10, -4, -3, a
Let n = 3.29 - 6.29. Put 3.2, 0.2, n in decreasing order.
3.2, 0.2, n
Let z(d) = -d. Let x(s) = -3*s - 35. Let q(c) = x(c) - 4*z(c). Let b be q(0). Sort -1, -5, b in decreasing order.
-1, -5, b
Suppose 7*p + 102 = p. Let u be 1 + 9/(-6)*2. Put -4, u, p in decreasing order.
u, -4, p
Let s = 480 + -482. Let m be (3 + -4)*(5 - 0). Put m, s, -3, -1 in ascending order.
m, -3, s, -1
Let a = -2.83 - 0.17. Let x be 2/(-8) + (-1 - 0). Let t = -1.5 - 0.5. Sort x, t, a in increasing order.
a, t, x
Let o be ((-54)/6)/3*-1. Let g = -1 + -2. Sort -4, g, o, 4 in descending order.
4, o, g, -4
Suppose 22 = -3*f + f - s, -s + 2 = 0. Let m = -110 + 114. Put f, m, 0.4 in decreasing order.
m, 0.4, f
Let d = 286 + -30. Let f = d + -269.3. Let w = 13 + f. Sort -2/17, 4, w in descending order.
4, -2/17, w
Suppose -146*h + 145*h + 4 = 0. Sort -3, 0.4, -0.1, h in descending order.
h, 0.4, -0.1, -3
Let g = -133 - -117. Sort -5, g, -6 in increasing order.
g, -6, -5
Let a = -1 + 1. Let s be a - (6 - 5) - (15 + 1). Sort 3, 4, -3, s in decreasing order.
4, 3, -3, s
Let b = -51 + 46. Let a = -11 - -19. Suppose p = 5*p - a. Put 5, b, p in descending order.
5, p, b
Let z be (3/(-6))/((-5)/(-30)). Sort -5, z, 8 in ascending order.
-5, z, 8
Let p be 2 + (2 - 11) + 2. Sort -2, 5, p, -3 in ascending order.
p, -3, -2, 5
Suppose 288 = -210*n + 198*n. Put 4, n, 5, 2 in descending order.
5, 4, 2, n
Let t = -7 - -8. Let z be ((10/25)/t)/((-3)/30). Suppose -v = -5*p - 10, 3*p - v + 6 = v. Sort p, -6, z in increasing order.
-6, z, p
Let w = 3.5 - 5.5. Put 0, 6/5, w in descending order.
6/5, 0, w
Let s = 110 + -75. Suppose 5*z - y + 6*y - s = 0, -z - 23 = -5*y. Suppose -3*u - z = 7. Sort -4, 1, u in decreasing order.
1, u, -4
Let k = 0.127 + 0.173. Sort 0.1, 2/21, 4, k.
2/21, 0.1, k, 4
Let n(l) = 2*l**2 - 15*l - 8. Let d(y) = -8*y**2 + 60*y + 31. Let i(r) = -2*d(r) - 9*n(r). Let o be i(8). Sort o, -5, 3 in increasing order.
-5, o, 3
Suppose -4 = 2*j - 16. Let y = -139 - -91. Let x = -46 - y. Sort 0, j, x in decreasing order.
j, x, 0
Suppose -11*l - 14 = 19. Put -3/5, l, -1/5, -1 in ascending order.
l, -1, -3/5, -1/5
Let v(k) = k + 14. Let w be v(-13). Sort 2, w, -4 in ascending order.
-4, w, 2
Suppose 62 = 34*u + 62. Sort -7, u, 11 in increasing order.
-7, u, 11
Let y = 1.2 + -1. Let z = y + -0.5. Let i be 8/(-100) + -6 + 2024/300. Put z, i, 5 in descending order.
5, i, z
Let p(a) = a**3 + 24*a**2 - 25*a + 5. L
|
{
"pile_set_name": "DM Mathematics"
}
|
266220*m**3 - 36672*m**2 - 1264*m.
-4*m*(m + 79)*(29*m + 2)**2
Let 10*d**4/3 + 1714*d**3/3 + 31278*d**2 + 536130*d + 209484 = 0. What is d?
-69, -33, -2/5
Let -2*p**4/5 + 22104*p**3/5 + 6*p**2/5 - 66316*p/5 + 44208/5 = 0. Calculate p.
-2, 1, 11052
Factor -2*w**2/9 + 34154*w/9 - 68284/3.
-2*(w - 17071)*(w - 6)/9
Factor 2*y**3/9 - 866*y**2/9 + 8210*y/3 - 20150.
2*(y - 403)*(y - 15)**2/9
Find b, given that 5*b**3 + 14990*b**2 - 5*b - 14990 = 0.
-2998, -1, 1
Factor 2*o**2 - 1156*o + 1154.
2*(o - 577)*(o - 1)
Solve -k**5/5 - 3*k**4/5 + 27*k**3 - 621*k**2/5 + 162*k = 0 for k.
-15, 0, 3, 6
Let -25*q**2 + 1230*q - 11160 = 0. Calculate q.
12, 186/5
Suppose -1968*z**2 - 11900*z/3 - 184/3 = 0. Calculate z.
-2, -23/1476
Determine b so that -10*b**3 - 496*b**2 - 774*b - 288 = 0.
-48, -1, -3/5
Suppose 2*p**3 - 38598*p**2 = 0. Calculate p.
0, 19299
What is f in 3*f**4/2 - 9*f**3 - 63*f**2/2 + 219*f - 180 = 0?
-5, 1, 4, 6
Factor -w**3/3 + 26*w**2 + 3*w - 234.
-(w - 78)*(w - 3)*(w + 3)/3
Suppose 11*t**2/9 + 488*t/3 + 4272 = 0. What is t?
-1068/11, -36
Suppose s**4 + 14000*s**3 + 49041981*s**2 + 293860006*s + 391664072 = 0. What is s?
-6997, -4, -2
Factor 4*x**5 - 108*x**4 + 296*x**3 + 1576*x**2 + 1812*x + 644.
4*(x - 23)*(x - 7)*(x + 1)**3
Suppose -r**4/3 + 2*r**3/3 + 17*r**2 - 212*r/3 + 160/3 = 0. What is r?
-8, 1, 4, 5
Solve 621*z**2 + 99979*z - 322 = 0.
-161, 2/621
Factor 5*s**3 - 4508210*s**2 - 4508215*s.
5*s*(s - 901643)*(s + 1)
Determine f, given that -9146*f**5/3 - 27446*f**4/3 - 9170*f**3/3 + 27430*f**2/3 + 18316*f/3 + 16/3 = 0.
-2, -1, -4/4573, 1
Factor 4*q**4 + 96*q**3 - 268*q**2 - 4200*q.
4*q*(q - 7)*(q + 6)*(q + 25)
What is f in -f**5/3 - 137*f**4/3 - 2021*f**3 - 28353*f**2 + 30420*f = 0?
-60, -39, 0, 1
Factor 2*j**3/11 + 600*j**2/11 + 55296*j/11 + 131072.
2*(j + 44)*(j + 128)**2/11
Determine b, given that 5*b**4 - 1170*b**3 + 2320*b**2 = 0.
0, 2, 232
Factor 4*p**4 - 32268*p**3 + 65060352*p**2 + 65092624*p.
4*p*(p - 4034)**2*(p + 1)
Solve 2*x**4/7 + 32*x**3/7 - 8*x**2 - 800*x/7 + 1536/7 = 0.
-16, -6, 2, 4
Find o, given that -2*o**5/9 - 476*o**4/9 - 3616*o**3/3 - 42124*o**2/9 + 10850*o/9 + 14200/3 = 0.
-213, -20, -5, -1, 1
Let -n**4/3 - 131*n**3/3 + 328*n**2 + 828*n = 0. What is n?
-138, -2, 0, 9
Factor -3675*f**4 - 7345*f**3 + 10*f**2.
-5*f**2*(f + 2)*(735*f - 1)
Factor -3*c**4 + 40704*c**3 + 122130*c**2 + 122136*c + 40713.
-3*(c - 13571)*(c + 1)**3
Factor -f**3/3 - 188*f**2/3 - 187*f/3.
-f*(f + 1)*(f + 187)/3
Solve 2*y**5/5 + 286*y**4/5 + 11152*y**3/5 + 64736*y**2/5 = 0.
-68, -7, 0
Suppose d**2/5 - 215438*d/5 - 215439/5 = 0. What is d?
-1, 215439
Let w**2/4 - 2817*w/4 - 36959/2 = 0. Calculate w.
-26, 2843
Factor 5*o**2/4 + 3810*o - 1492925/4.
5*(o - 95)*(o + 3143)/4
Factor -2*d**3 - 3668*d**2 - 1714304*d - 29680704.
-2*(d + 18)*(d + 908)**2
Factor 3*s**2 - 161280*s - 322572.
3*(s - 53762)*(s + 2)
What is o in -3*o**4/4 - 13797*o**3 + 331281*o**2/4 + 414057*o/2 + 110412 = 0?
-18402, -1, 8
What is n in -2*n**2 - 834*n + 14756 = 0?
-434, 17
Solve 196*z**5/3 - 150536*z**4/3 + 28297372*z**3/3 + 233833576*z**2/3 + 196955008*z/3 - 8430464/3 = 0 for z.
-7, -1, 2/49, 388
Solve -b**4 + 84*b**3 - 1867*b**2 + 11616*b + 13568 = 0 for b.
-1, 16, 53
Factor -16*r**3 + 5764*r**2 - 1440*r.
-4*r*(r - 360)*(4*r - 1)
Let -2*s**3 + 88*s**2 + 13022*s + 12932 = 0. What is s?
-61, -1, 106
Let -5*q**5 - 2750*q**4 - 464880*q**3 - 15962240*q**2 + 1389122560*q - 2710632960 = 0. Calculate q.
-196, 2, 36
Solve 2*c**3/19 + 42*c**2/19 - 2024*c/19 = 0 for c.
-44, 0, 23
Factor 2*v**4 - 1587*v**3 - 3976*v**2 - 3183*v - 796.
(v - 796)*(v + 1)**2*(2*v + 1)
Factor y**3/4 - 1261*y**2/4 - 7593*y/4 - 11403/4.
(y - 1267)*(y + 3)**2/4
Solve -2*b**5/11 - 9128*b**4/11 - 10405914*b**3/11 + 20848356*b**2/11 = 0.
-2283, 0, 2
Let p**2 - 6473*p = 0. Calculate p.
0, 6473
Factor -j**2/3 - 463*j/3 - 17302/3.
-(j + 41)*(j + 422)/3
Determine b, given that b**4/5 - 10147*b**3 - 253697*b**2/5 - 152229*b/5 + 91332 = 0.
-3, 1, 50740
Find p such that 2*p**2 + 1110*p + 1108 = 0.
-554, -1
Factor 2*z**5 + 1400*z**4 + 31538*z**3 + 269604*z**2 + 1025784*z + 1462320.
2*(z + 5)*(z + 6)**3*(z + 677)
Let 45*a**5 - 8635*a**4 + 16095*a**3 + 10535*a**2 - 16140*a - 1900 = 0. What is a?
-1, -1/9, 1, 2, 190
Solve 27*x**5 - 53586*x**4 - 610404*x**3 - 742392*x**2 - 239520*x = 0.
-10, -2/3, 0, 1996
Factor u**2/8 + 2121*u/8 + 3177/4.
(u + 3)*(u + 2118)/8
Factor -5*t**2 + 19495*t + 19500.
-5*(t - 3900)*(t + 1)
Factor -6*b**3 - 826*b**2 - 5984*b + 1781120.
-2*(b + 88)**2*(3*b - 115)
Find y, given that y**5 + 3297*y**4 + 124199*y**3 + 1163311*y**2 - 496812*y - 4705996 = 0.
-3259, -19, -2, 2
Solve 2*f**3/3 - 29842*f**2/3 + 37101066*f + 37111014 = 0.
-1, 7461
What is s in -3*s**5 + 108*s**4 + 129*s**3 - 21066*s**2 - 79200*s + 240000 = 0?
-8, 2, 25
Find a such that -148*a**3 - 266001*a**2 - 80867*a - 3594 = 0.
-1797, -1/4, -2/37
Solve 75*p**5 + 670*p**4 - 5050*p**3 + 4320*p**2 + 7695*p + 1890 = 0 for p.
-14, -3/5, -1/3, 3
Determine f, given that -10*f**5/9 + 2804*f**4/9 + 1450*f**3 + 17092*f**2/9 + 2296*f/9 - 1520/3 = 0.
-2, -1, 2/5, 285
Find y, given that -4*y**5/5 + 2972*y**4/5 + 11532*y**3 + 191844*y**2/5 + 27432*y = 0.
-15, -3, -1, 0, 762
What is l in 14*l**2/11 - 1600*l/11 - 4926/11 = 0?
-3, 821/7
Solve 4*a**3 - 8616*a**2 + 4631088*a + 9296672 = 0 for a.
-2, 1078
Suppose -3*i**5/8 + 27*i**4/4 + 1863*i**3/8 - 1167*i**2/4 - 3627*i/2 + 2835 = 0. Calculate i.
-18, -3, 2, 35
Factor 5*y**3 + 7775*y**2 + 23290*y + 15520.
5*(y + 1)*(y + 2)*(y + 1552)
Factor -2*c**3/5 + 237304*c**2/5 - 7039148552*c/5.
-2*c*(c - 59326)**2/5
What is i in -2*i**5/7 + 862*i**4/7 - 10092*i**3/7 + 14804*i**2/7 + 16802*i - 17598 = 0?
-3, 1, 7, 419
Factor -5*j**2 + 60*j + 10865.
-5*(j - 53)*(j + 41)
Find w, given that w**5 + 155*w**4 + 5010*w**3 + 14110*w**2 + 13805*w + 4551 = 0.
-111, -41, -1
Factor -u**4 - 890*u**3 - 247425*u**2 - 21983000*u - 610090000.
-(u + 65)**2*(u + 380)**2
Factor -f**2/5 - 23266*f + 814359/5.
-(f - 7)*(f + 116337)/5
Solve 12*b**5/7 + 284*b**4/7 + 304*b**3 + 6672*b**2/7 + 8576*b/7 + 3328/7 = 0.
-13, -4, -2, -2/3
Factor -2*k**2 - 4784*k - 9560.
-2*(k + 2)*(k + 2390)
Determine z, given that 2*z**4/9 + 53012*z**3/9 - 35344*z**2/3 = 0.
-26508, 0, 2
Factor 22*x**2 + 26952*x - 132840.
2*(x + 1230)*(11*x - 54)
Factor 3*o**3 - 189*o**2 - 1008*o - 816.
3*(o - 68)*(o + 1)*(o + 4)
Factor q**2 + 437*q - 7718.
(q - 17)*(q + 454)
Solve -4*v**2/5 - 31772*v/5 + 12712 = 0 for v.
-7945, 2
Suppose 2*s**2/9 + 214480*s/9 = 0. What is s?
-107240, 0
Let -2*i**4/3 + 536*i**3 - 52286*i**2/3 - 19040*i + 107800/3 = 0. What is i?
-2, 1, 35, 770
Determine b, given that 3*b**3 + 7650*b**2 + 4944996*b + 86548824 = 0.
-1266, -18
Let -7*i**5/5 - 58*i**4/5 - 37*i**3/5 + 498*i**2/5 + 180*i + 216/5 = 0. What is i?
-6, -3, -2, -2/7, 3
Factor 4*f**5 + 200*f**4 - 4376*f**3 + 11888*f**2 - 11468*f + 3752.
4*(f - 14)*(f - 1)**3*(f + 67)
Find d such that -12*d**4 + 249*d**3 - 1170*d**2 + 1641*d - 708 = 0.
1, 4, 59/4
Factor 29*c**3 - 6121*c**2 + 6512*c - 420.
(c - 210)*(c - 1)*(29*c - 2)
Factor 3*h**3/2 - 363*h**2/2 - 213*h + 3660.
3*(h - 122)*(h - 4)*(h + 5)/2
Let 6*a**4/7 + 466*a**3/3 + 138568*a**2/21 - 15784*a/3 - 4480/3 = 0. Calculate a.
-112, -70, -2/9, 1
Let -2*m**3/21 - 3550*m**2/21 + 108242*m/21 - 104690/21 = 0. What is m?
-1805, 1, 29
Determine h so that -17800*h**2 + 17785*h + 15 = 0.
-3/3560, 1
Find j, given that -2*j**5/11 + 48*j**4/11 - 12*j**3 + 128*j**2/11 - 42*j/11 = 0.
0, 1, 21
Factor 5*x**4 + 18840*x**3 + 17766110*x**2 + 35475720*x + 17728445.
5*(x + 1)**2*(x + 1883)**2
Suppose -s**4/7 + 11*s**3/7 + 229*s**2/7 + 1021*s/7 + 1380/7 = 0. What is s?
-5, -4, -3, 23
Suppose 2*n**3/25 - 854*n**2/25 + 852*n/25 = 0. Calculate n.
0, 1, 426
Factor -2*g**4 + 76*g**3 - 864*g**2 + 3776*g - 5632.
-2*(g - 22)*(g - 8)*(g - 4)**2
Factor 2*y**2/11 + 1893284*y/11 + 448065538082/11.
2*(y + 473321)**2/11
Factor 4*m**4 + 788*m**3 + 41968*m**2 + 291024*m - 1272384.
4*(m - 3)*(m + 12)*(m + 94)**2
Factor -2*r**2 + 1054*r + 33420.
-2*(r - 557)*(r + 30)
Solve 2*f**2/3 - 24290*f/3 + 32376 = 0 for f.
4, 12141
Solve w**3/7 + 20*w**2 + 1325*w/7 + 3250/7 = 0.
-130, -5
Solve 35*s**2/2 + 9*s/2 - 9 = 0 for s.
-6/7, 3/5
Solve 5*a**4/3 + 4213*a**3/3 + 27634*a**2/3 + 38432*a/3 - 6688 = 0 for a.
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is 599 minutes before 12:09 AM?
2:10 PM
How many minutes are there between 1:52 PM and 8:51 PM?
419
What is 2 minutes before 8:27 AM?
8:25 AM
What is 677 minutes before 11:41 PM?
12:24 PM
How many minutes are there between 3:24 PM and 3:28 PM?
4
What is 123 minutes before 9:49 PM?
7:46 PM
What is 660 minutes before 11:09 AM?
12:09 AM
How many minutes are there between 7:19 PM and 6:41 AM?
682
How many minutes are there between 1:38 AM and 1:47 AM?
9
What is 355 minutes before 3:01 PM?
9:06 AM
How many minutes are there between 4:32 AM and 8:32 AM?
240
What is 688 minutes before 7:02 PM?
7:34 AM
What is 345 minutes after 5:15 PM?
11:00 PM
What is 135 minutes before 4:29 AM?
2:14 AM
What is 286 minutes before 12:23 AM?
7:37 PM
What is 404 minutes before 5:54 AM?
11:10 PM
What is 244 minutes after 11:10 PM?
3:14 AM
How many minutes are there between 4:35 PM and 6:47 PM?
132
What is 410 minutes before 12:50 AM?
6:00 PM
What is 439 minutes before 5:12 AM?
9:53 PM
How many minutes are there between 4:03 PM and 1:54 AM?
591
How many minutes are there between 9:56 AM and 4:40 PM?
404
What is 697 minutes before 11:32 PM?
11:55 AM
What is 493 minutes after 1:43 PM?
9:56 PM
How many minutes are there between 5:48 PM and 3:57 AM?
609
How many minutes are there between 11:26 PM and 1:45 AM?
139
What is 181 minutes after 9:47 PM?
12:48 AM
What is 685 minutes before 3:45 PM?
4:20 AM
What is 171 minutes after 3:14 PM?
6:05 PM
How many minutes are there between 10:27 PM and 1:38 AM?
191
How many minutes are there between 11:26 AM and 11:40 AM?
14
What is 459 minutes after 11:09 PM?
6:48 AM
What is 639 minutes after 3:02 AM?
1:41 PM
What is 581 minutes after 4:21 AM?
2:02 PM
How many minutes are there between 2:09 AM and 8:16 AM?
367
How many minutes are there between 2:47 PM and 12:44 AM?
597
How many minutes are there between 10:03 AM and 5:26 PM?
443
How many minutes are there between 4:37 PM and 9:54 PM?
317
What is 691 minutes before 7:39 PM?
8:08 AM
How many minutes are there between 9:42 AM and 9:00 PM?
678
What is 714 minutes after 5:06 AM?
5:00 PM
How many minutes are there between 8:15 AM and 6:58 PM?
643
How many minutes are there between 10:33 AM and 1:25 PM?
172
How many minutes are there between 2:18 PM and 10:04 PM?
466
How many minutes are there between 10:25 PM and 6:08 AM?
463
What is 446 minutes before 5:50 AM?
10:24 PM
How many minutes are there between 11:45 AM and 7:37 PM?
472
What is 266 minutes before 8:33 AM?
4:07 AM
How many minutes are there between 2:27 PM and 2:47 PM?
20
What is 501 minutes after 1:51 PM?
10:12 PM
How many minutes are there between 9:24 AM and 9:33 AM?
9
What is 167 minutes after 11:44 AM?
2:31 PM
How many minutes are there between 1:25 PM and 12:30 AM?
665
What is 630 minutes after 5:50 AM?
4:20 PM
How many minutes are there between 6:50 AM and 9:00 AM?
130
How many minutes are there between 9:02 PM and 2:33 AM?
331
How many minutes are there between 7:11 AM and 6:57 PM?
706
How many minutes are there between 8:16 AM and 9:32 AM?
76
What is 458 minutes before 2:58 AM?
7:20 PM
How many minutes are there between 4:50 PM and 10:31 PM?
341
What is 612 minutes after 4:59 PM?
3:11 AM
How many minutes are there between 5:21 PM and 12:00 AM?
399
How many minutes are there between 6:24 PM and 3:41 AM?
557
What is 203 minutes before 3:45 AM?
12:22 AM
How many minutes are there between 8:40 AM and 4:34 PM?
474
What is 508 minutes after 5:22 AM?
1:50 PM
What is 172 minutes after 6:27 AM?
9:19 AM
What is 126 minutes after 2:33 PM?
4:39 PM
How many minutes are there between 2:10 PM and 9:46 PM?
456
How many minutes are there between 11:26 PM and 10:28 AM?
662
How many minutes are there between 5:52 PM and 2:20 AM?
508
What is 332 minutes after 7:49 AM?
1:21 PM
What is 517 minutes after 5:59 PM?
2:36 AM
How many minutes are there between 1:58 PM and 8:38 PM?
400
How many minutes are there between 4:31 AM and 11:30 AM?
419
How many minutes are there between 3:19 AM and 4:09 AM?
50
What is 38 minutes after 6:14 PM?
6:52 PM
What is 466 minutes before 11:32 PM?
3:46 PM
What is 445 minutes after 7:20 AM?
2:45 PM
What is 82 minutes after 8:16 AM?
9:38 AM
What is 611 minutes before 9:19 AM?
11:08 PM
How many minutes are there between 8:04 PM and 10:28 PM?
144
How many minutes are there between 10:17 PM and 5:56 AM?
459
What is 528 minutes after 5:37 AM?
2:25 PM
How many minutes are there between 7:35 AM and 8:28 AM?
53
How many minutes are there between 9:33 AM and 12:38 PM?
185
How many minutes are there between 1:52 AM and 7:20 AM?
328
How many minutes are there between 3:12 PM and 7:51 PM?
279
How many minutes are there between 3:05 AM and 2:52 PM?
707
How many minutes are there between 8:38 AM and 9:47 AM?
69
What is 401 minutes before 9:35 AM?
2:54 AM
How many minutes are there between 1:32 AM and 2:34 AM?
62
How many minutes are there between 11:02 PM and 1:57 AM?
175
How many minutes are there between 5:36 AM and 10:28 AM?
292
How many minutes are there between 9:56 PM and 2:09 AM?
253
How many minutes are there between 4:18 AM and 3:33 PM?
675
What is 652 minutes before 7:12 AM?
8:20 PM
How many minutes are there between 12:31 AM and 11:56 AM?
685
How many minutes are there between 1:01 AM and 2:37 AM?
96
How many minutes are there between 7:12 PM and 7:11 AM?
719
What is 104 minutes after 10:18 PM?
12:02 AM
What is 76 minutes after 5:27 AM?
6:43 AM
What is 680 minutes before 8:02 PM?
8:42 AM
What is 136 minutes after 7:33 PM?
9:49 PM
How many minutes are there between 5:56 AM and 8:35 AM?
159
What is 705 minutes before 1:36 PM?
1:51 AM
How many minutes are there between 12:52 PM and 5:54 PM?
302
How many minutes are there between 6:15 PM and 3:39 AM?
564
What is 62 minutes before 4:14 PM?
3:12 PM
How many minutes are there between 1:53 PM and 5:04 PM?
191
What is 176 minutes after 12:34 PM?
3:30 PM
What is 33 minutes before 1:42 AM?
1:09 AM
What is 697 minutes after 3:06 AM?
2:43 PM
How many minutes are there between 9:45 AM and 3:40 PM?
355
How many minutes are there between 2:05 PM and 9:30 PM?
445
What is 40 minutes before 2:56 AM?
2:16 AM
How many minutes are there between 4:16 AM and 3:55 PM?
699
How many minutes are there between 4:48 AM and 9:08 AM?
260
What is 33 minutes after 2:37 AM?
3:10 AM
How many minutes are there between 9:45 AM and 5:38 PM?
473
What is 371 minutes before 10:00 AM?
3:49 AM
What is 158 minutes before 3:06 PM?
12:28 PM
What is 472 minutes before 10:30 AM?
2:38 AM
How many minutes are there between 5:21 PM and 8:08 PM?
167
What is 443 minutes after 4:42 AM?
12:05 PM
What is 318 minutes before 5:17 AM?
11:59 PM
What is 421 minutes after 5:32 PM?
12:33 AM
How many minutes are there between 7:38 PM and 9:22 PM?
104
What is 165 minutes before 3:00 PM?
12:15 PM
How many minutes are there between 12:35 AM and 3:39 AM?
184
How many minutes are there between 8:16 PM and 8:04 AM?
708
How many minutes are there between 5:12 PM and 9:21 PM?
249
What is 445 minutes after 8:11 PM?
3:36 AM
How many minutes are there between 6:20 PM and 5:36 AM?
676
How many minutes are there between 7:04 PM and 9:51 PM?
167
How many minutes are there between 3:11 PM and 9:36 PM?
385
What is 110 minutes before 7:43 PM?
5:53 PM
What is 89 minutes after 5:18 PM?
6:47 PM
How many minutes are there between 2:33 PM and 3:42 PM?
69
How many minutes are there between 8:34 AM and 2:16 PM?
342
What is 394 minutes before 5:23 AM?
10:49 PM
How many minutes are there between 8:13 AM and 6:25 PM?
612
What is 51 minutes after 8:05 AM?
8:56 AM
How many minutes are there between 11:52 AM and 3:58 PM?
246
What is 354 minutes after 12:21 PM?
6:15 PM
What is 117 minutes before 1:12 PM?
11:15 AM
How many minutes are there between 12:39 AM and 4:52 AM?
253
What is 89 minutes after 4:15 PM?
5:44 PM
What is 454 minutes before 12:50 AM?
5:16 PM
What is 620 minutes after 7:00 AM?
5:20 PM
What is 9 minutes after 12:23 AM?
12:32 AM
How many minutes are there between 2:34 PM and 6:58 PM?
264
How many minutes are there between 12:40 PM and 6:01 PM?
321
How many minutes are there between 10:12 AM and 9:22 PM?
670
How many minutes are there between 3:23 PM and 3:27 PM?
4
What is 286 minutes before 8:25 AM?
3:39 AM
What is 270 minutes after 12:54 AM?
5:
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 7. What is the remainder when i(-4) is divided by 11?
10
Let h be (-7)/(-2) + 4/8. Suppose -p = -4*u + 23, -2*p + 15 = 5*u - h. Suppose u*s - 302 = -12. Calculate the remainder when s is divided by 20.
18
Let k = -13 + 25. Suppose 0 = -6*j + 10*j - k. Calculate the remainder when j is divided by 1.
0
Let a(m) = m + 26. What is the remainder when 97 is divided by a(7)?
31
Let a be -6 - (1 - (2 + 0)). Let x = a - -12. Let l(o) = 3*o + 1. Calculate the remainder when l(4) is divided by x.
6
Let p = 2 - 4. What is the remainder when 18 is divided by p/(-3) - 28/(-3)?
8
Let p be (0 + 3/(-1))*-1. Suppose 40 = k + p*m, -4*k - k + m + 136 = 0. Let u = 37 + -22. What is the remainder when k is divided by u?
13
Let w(k) = -6*k - 21. Calculate the remainder when 207 is divided by w(-6).
12
Calculate the remainder when 37 is divided by (-4)/14 + (-837)/(-63).
11
Suppose 0*v + v = 3*h + 2, -8 = -4*v + 5*h. Calculate the remainder when (10/6 + -2)*-15 is divided by v.
1
Let x = -8 - -5. Calculate the remainder when x - (-17 + 0 - 2) is divided by 6.
4
Suppose -3*x = g - 27, -4*x + 8*x = 4*g - 92. Let p = -112 + 159. Calculate the remainder when p is divided by g.
23
Calculate the remainder when 58 is divided by 24/(4 + (-2 - 0)).
10
Let k = -61 + 128. Calculate the remainder when k is divided by 10.
7
Let h(g) = -g**3 + 10*g**2 - 8*g + 8. Let o be h(9). Suppose -s + 8 = -o. What is the remainder when s is divided by 13?
12
Suppose 4*r - 2*r = 0. Suppose -o + 1 = -r. Calculate the remainder when ((-147)/(-6))/(o/2) is divided by 25.
24
What is the remainder when 53 is divided by 6/(-2) - 31/(-1)?
25
Calculate the remainder when (5 - 6) + 221 + 2/2 is divided by 16.
13
Suppose -3*r + 102 = 3*m, -m - 160 = -6*m - 3*r. Calculate the remainder when m is divided by 10.
9
Let p be 5/((-10)/6) - -3. Suppose 36 = -p*w + 2*w. Calculate the remainder when w is divided by 5.
3
Let f(o) = -11*o - 31. Calculate the remainder when 209 is divided by f(-6).
34
Suppose 0*n + 2*n - 36 = 0. Let p = -11 + n. Calculate the remainder when 13 is divided by p.
6
Suppose -6*g + g + 2*x = -170, 2*x = -4*g + 118. What is the remainder when g is divided by 11?
10
Suppose 3*t + 3*f - 8*f - 125 = 0, 2*f - 27 = -t. What is the remainder when t is divided by 23?
12
Let m(y) = 6*y + 7. What is the remainder when 97 is divided by m(3)?
22
Let y = 20 - 12. What is the remainder when 22 is divided by y?
6
Let t = -66 - -39. Let y = 44 + t. Let u(o) = o**3 - 9*o**2 + 9*o + 1. What is the remainder when y is divided by u(8)?
8
Let q = 11 - -2. Calculate the remainder when q is divided by 3.
1
Let q(a) = a**3 - a**2 + a + 102. Let h be q(0). Suppose 2*x - h = -4*z, -2*z = z - 5*x - 109. What is the remainder when z is divided by 10?
8
Suppose 92 = 5*t - 98. What is the remainder when 28 is divided by t/4 + (-1)/(-2)?
8
Let f = 7 - 6. Let g be (f + -2 + 1)/(-2). Suppose 66 = 3*a - g*a. What is the remainder when a is divided by 12?
10
Let k = -60 - -76. What is the remainder when 31 - (1 - (1 + 0)) is divided by k?
15
Suppose -5*q + 2*g = -3*g - 225, -3*g - 3 = 0. Suppose 5*p + 4*a = -278, -p + 5*a - q = -0*p. What is the remainder when p/(-7) - 8/(-28) is divided by 3?
2
Let d(r) = -15*r**3 + r**2 - 1. Let c be d(-1). Suppose z + c = 5*n, -5*n + 4*n - 6 = -2*z. Calculate the remainder when 9 is divided by z.
4
Suppose -3 = -5*w + 7. What is the remainder when 7 is divided by w?
1
Let m be (8/5)/(4/10). Suppose -m*h = -2*h + 6. Calculate the remainder when 34 is divided by 6*1/(h/(-9)).
16
Suppose -4*h + 3 = -3*h, -4*h = -2*v - 22. Let d = 29 - v. Calculate the remainder when d is divided by 18.
16
Let m(v) = 2*v**2 + 8*v - 5. Let j be m(-7). Let k = 52 - j. What is the remainder when 59 is divided by k?
14
Let j(b) = b + 20. Let w be j(-9). Suppose -4*n = v - w, 6*v + 3*n - 18 = 2*v. Calculate the remainder when 94/14 + 2/7 is divided by v.
1
Suppose 21 = -22*m + 23*m. Calculate the remainder when m is divided by 5/(5/2) - -9.
10
Let m = 8 - 13. Let w = m + 22. What is the remainder when 29 is divided by w - (4 - (-6)/(-3))?
14
Let t = -116 - -146. Calculate the remainder when t is divided by 3.
0
Suppose -4*g + 3*g + 18 = 0. Suppose 5*k - 11 - 22 = -m, 5*m - 253 = -3*k. What is the remainder when m is divided by g?
17
Let x = 1 - -3. Suppose 6 = -7*r + x*r. Let u = r + 16. What is the remainder when u is divided by 8?
6
Let y(d) = -11*d + 4. Let m(o) = -o + 4. Let f be m(6). Calculate the remainder when 50 is divided by y(f).
24
Suppose 0*b + 66 = -2*b. Let i = 10 - 12. Let w = i - b. Calculate the remainder when w is divided by 11.
9
Let a = 15 + -1. What is the remainder when 39 is divided by a?
11
Suppose 0 = o - 100 + 82. What is the remainder when 53 is divided by o?
17
Let t(i) = -11*i - 15. What is the remainder when t(-6) is divided by 9?
6
Let d(w) = w**2 - 10*w + 24. Suppose -5*u + 4 = -3*u. Calculate the remainder when d(7) is divided by u.
1
Let j(s) = 2*s + 7. Let u be j(-5). Suppose 0 = -2*a - 0 + 4. What is the remainder when 1/(u*3/(-27)) is divided by a?
1
Let z = -17 - -19. Suppose -40 = z*k - 3*k + 5*p, 4*k - 84 = p. What is the remainder when 59 is divided by k?
19
Let z be 10 + -5 + -1*2. Let l(c) = -3*c**2 + 0*c**2 + 5*c**2 + c**3 - 3 - z*c. What is the remainder when 8 is divided by l(-2)?
2
Suppose 0 = -4*q + 8, -4*q + 128 = -3*c + 39. Let p = 13 + 15. What is the remainder when p is divided by (-6)/c + (-133)/(-9)?
13
Suppose 275 = 5*w - 0*w. Let n(h) = -h**3 - 5*h**2 - 5*h - 6. Calculate the remainder when w is divided by n(-5).
17
Let b = 6 - 1. What is the remainder when 13 is divided by b?
3
Suppose 5 = 2*h + 1. Suppose 0 = 2*n + h*n - 84. Calculate the remainder when n is divided by 12.
9
Suppose -13*y + 45 + 98 = 0. Suppose 5*f + 7 - 42 = 0. Calculate the remainder when y is divided by f.
4
Let j = 3 + 4. Let s = -3 + 9. Suppose o - s = 3*r + 9, -4*r - 16 = -o. Calculate the remainder when o is divided by j.
5
Let i = 27 + -16. What is the remainder when (-518)/(-12) + (-1)/6 is divided by i?
10
Let n(k) = -k**3 - 4*k**2 - 4*k - 4. Calculate the remainder when n(-5) is divided by 11.
8
Suppose 5*z = 2*z + 9. Suppose -2*u + 27 = -z*b + 112, -4*u + 46 = 2*b. Calculate the remainder when b is divided by 7.
6
Suppose -40 = -2*d - g, -d + 6*d - 100 = -2*g. What is the remainder when 6/(-21) - (-401)/7 is divided by d?
17
Suppose 60 = 2*w - 3*d, -20 = 2*d - 7*d. What is the remainder when w is divided by 10?
6
Let c(h) = -h**3 + 2*h**2 - 2*h - 7. Calculate the remainder when 77 is divided by c(-2).
12
Let l(b) = b**2 - 20*b + 16. Calculate the remainder when 206 is divided by l(20).
14
Let f(w) = -w**3 + 5*w**2 + 5*w + 3. Let y be 3/(-12) + 51/12. Calculate the remainder when f(y) is divided by 10.
9
Suppose -5*c = -6 + 21. Let q be c/(-2)*256/12. What is the remainder when 45 is divided by ((-27)/6)/((-12)/q)?
9
Let i(o) be the first derivative of -o**3/3 - 7*o**2/2 + 3*o - 1. Let c(u) = -u. Calculate the remainder when i(-6) is divided by c(-5).
4
Let a = 34 - 22. Let k = a - -6. Calculate the remainder when 71 is divided by k.
17
Let f be (-9)/12*(1 + -25). Let d = -8 + f. Calculate the remainder when 1176/30 - 2/10 is divided by d.
9
Let o be (-2)/8 + (-129)/(-4). Suppose 0*y + o = 4*y. What is the remainder when 21 is divided by y?
5
Let n(y) = -y**2 - 4*y + 4. Let k be n(-4). Let r = 6 - k. Suppose 105 = r*h + h. Calculate the remainder when h is divided by 12.
11
Let v = 16 - 10. What is the remainder when -7 + 21 - (1 - 4) is divided by v?
5
Let y(c) = -2*c**2 - 9 + 2*c**2 + 6*c**2 + 0 + 6*c - c**3. Calculate the remainder when y(6) is divided by 7.
6
Suppose -3*k - 24 = k. Let c(x) = -x**3 - 5*x**2 + x - 6. What is the remainder when 46 is divided by c(k)?
22
Let k = 76 - 54. What is the remainder when ((-1530)/27)/((-4)/6) is divided by k?
19
Suppose 0 = b - 5*p + 7, -5*b - 5 = 4*p + 1. Calculate the remainder when 28 is divided by (-1 + 3 - -15) + b.
13
Calculate the remainder when 23 is divided by -1 + 3 - (-13 - (-1 - 2)).
11
Calculate the remainder when 21 is divided by 16/(-5)*5/(-2).
5
Let g = 38 + -35. What is the remainder when 34 is divided by g?
1
Suppose 3*j = -u + 4*u + 39, j = 2*u + 9. What is the remainder when 83 is divided by j?
15
Let n
|
{
"pile_set_name": "DM Mathematics"
}
|
th term of 139, 273, 407?
134*y + 5
What is the h'th term of -45, -79, -107, -129, -145, -155?
3*h**2 - 43*h - 5
What is the p'th term of -486, -484, -484, -486, -490, -496?
-p**2 + 5*p - 490
What is the b'th term of 1633, 1618, 1603, 1588, 1573, 1558?
-15*b + 1648
What is the a'th term of -1259, -5039, -11341, -20165, -31511?
-1261*a**2 + 3*a - 1
What is the g'th term of 10, 33, 92, 205, 390, 665, 1048?
3*g**3 + 2*g + 5
What is the p'th term of 364, 725, 1084, 1441, 1796, 2149, 2500?
-p**2 + 364*p + 1
What is the j'th term of 6, 34, 96, 210, 394, 666, 1044?
3*j**3 - j**2 + 10*j - 6
What is the r'th term of 36, 51, 66, 81, 96?
15*r + 21
What is the j'th term of 367, 808, 1239, 1654, 2047, 2412, 2743?
-j**3 + j**2 + 445*j - 78
What is the y'th term of 66, 141, 216?
75*y - 9
What is the j'th term of -37, 13, 63?
50*j - 87
What is the j'th term of 1180, 1175, 1160, 1129, 1076, 995, 880?
-j**3 + j**2 - j + 1181
What is the w'th term of -861, -857, -849, -837, -821?
2*w**2 - 2*w - 861
What is the n'th term of -921, -1841, -2761?
-920*n - 1
What is the k'th term of 56, 122, 174, 206, 212, 186?
-k**3 - k**2 + 76*k - 18
What is the i'th term of 5, -15, -55, -121, -219, -355?
-i**3 - 4*i**2 - i + 11
What is the b'th term of 1, -13, -33, -59, -91?
-3*b**2 - 5*b + 9
What is the r'th term of 60, 128, 206, 300, 416, 560, 738?
r**3 - r**2 + 64*r - 4
What is the h'th term of -983, -3921, -8817, -15671, -24483?
-979*h**2 - h - 3
What is the x'th term of -2, 35, 112, 229, 386?
20*x**2 - 23*x + 1
What is the x'th term of 2197, 2202, 2209, 2218, 2229, 2242?
x**2 + 2*x + 2194
What is the j'th term of 712, 702, 716, 766, 864, 1022, 1252?
2*j**3 - 24*j + 734
What is the y'th term of -508, -999, -1472, -1921, -2340, -2723, -3064, -3357?
y**3 + 3*y**2 - 507*y - 5
What is the d'th term of -1141, -1142, -1143, -1144, -1145, -1146?
-d - 1140
What is the b'th term of -15, -62, -179, -402, -767, -1310?
-6*b**3 + b**2 - 8*b - 2
What is the m'th term of -80, -76, -78, -92, -124, -180, -266, -388?
-m**3 + 3*m**2 + 2*m - 84
What is the a'th term of 13, 37, 63, 91, 121, 153, 187?
a**2 + 21*a - 9
What is the w'th term of -15, -46, -93, -156, -235, -330?
-8*w**2 - 7*w
What is the i'th term of 162, 155, 134, 93, 26, -73, -210, -391?
-i**3 - i**2 + 3*i + 161
What is the g'th term of 1474, 2946, 4418?
1472*g + 2
What is the f'th term of -481, -489, -499, -511?
-f**2 - 5*f - 475
What is the c'th term of 3, -2, -21, -60, -125, -222, -357, -536?
-c**3 - c**2 + 5*c
What is the j'th term of -7, -89, -315, -757, -1487, -2577, -4099, -6125?
-12*j**3 + 2*j + 3
What is the d'th term of -277, -556, -835, -1114, -1393?
-279*d + 2
What is the w'th term of 551, 2241, 5057, 8999?
563*w**2 + w - 13
What is the z'th term of -85, -88, -107, -148, -217?
-z**3 - 2*z**2 + 10*z - 92
What is the x'th term of 62, 63, 64, 65?
x + 61
What is the i'th term of -5, 20, 79, 184, 347, 580, 895?
2*i**3 + 5*i**2 - 4*i - 8
What is the b'th term of -138, -246, -294, -252, -90, 222?
5*b**3 - 143*b
What is the u'th term of -74, -55, -14, 61, 182, 361?
2*u**3 - u**2 + 8*u - 83
What is the c'th term of 107, 217, 317, 401, 463?
-c**3 + c**2 + 114*c - 7
What is the t'th term of -60, -127, -188, -237, -268, -275, -252, -193?
t**3 - 3*t**2 - 65*t + 7
What is the f'th term of 135, 141, 147, 153, 159?
6*f + 129
What is the h'th term of 1437, 1442, 1447, 1452, 1457, 1462?
5*h + 1432
What is the g'th term of 597, 596, 595?
-g + 598
What is the h'th term of -228, -454, -680, -906?
-226*h - 2
What is the y'th term of -3387, -3384, -3379, -3372, -3363?
y**2 - 3388
What is the j'th term of -40, -62, -86, -112?
-j**2 - 19*j - 20
What is the k'th term of -45, -28, 1, 48, 119?
k**3 + 10*k - 56
What is the g'th term of -120, -521, -1202, -2163, -3404, -4925, -6726?
-140*g**2 + 19*g + 1
What is the v'th term of -1029, -1023, -1015, -1005?
v**2 + 3*v - 1033
What is the u'th term of 114, 113, 112?
-u + 115
What is the g'th term of 193, 197, 203, 211?
g**2 + g + 191
What is the p'th term of 204, 202, 198, 192, 184?
-p**2 + p + 204
What is the t'th term of 169, 343, 517, 691, 865?
174*t - 5
What is the m'th term of 76, 70, 52, 16, -44, -134, -260?
-m**3 + m + 76
What is the s'th term of 166, 152, 140, 130?
s**2 - 17*s + 182
What is the n'th term of -175, -355, -545, -751, -979, -1235, -1525?
-n**3 + n**2 - 176*n + 1
What is the j'th term of 8079, 8081, 8083, 8085, 8087, 8089?
2*j + 8077
What is the h'th term of -76, -69, -48, -7, 60, 159, 296?
h**3 + h**2 - 3*h - 75
What is the t'th term of 11, 21, 19, -1, -45, -119, -229, -381?
-t**3 + 17*t - 5
What is the v'th term of -670, -667, -662, -655, -646, -635, -622?
v**2 - 671
What is the i'th term of -1615, -1616, -1617?
-i - 1614
What is the y'th term of -22, -239, -828, -1975, -3866, -6687, -10624, -15863?
-31*y**3 + 9
What is the m'th term of 1066, 1069, 1072, 1075?
3*m + 1063
What is the y'th term of 80, 155, 374, 809, 1532, 2615?
12*y**3 - 9*y + 77
What is the i'th term of 18, 3, -30, -87, -174, -297, -462?
-i**3 - 3*i**2 + i + 21
What is the v'th term of -352, -703, -1054?
-351*v - 1
What is the o'th term of 301, 603, 905?
302*o - 1
What is the f'th term of -39, -75, -97, -99, -75, -19, 75?
f**3 + f**2 - 46*f + 5
What is the b'th term of -64, -137, -208, -271, -320, -349, -352?
b**3 - 5*b**2 - 65*b + 5
What is the f'th term of 3299, 3286, 3261, 3218, 3151, 3054, 2921?
-f**3 - 6*f + 3306
What is the o'th term of -74, -144, -210, -272, -330, -384, -434?
2*o**2 - 76*o
What is the z'th term of -93, -95, -97, -99?
-2*z - 91
What is the s'th term of -146, -109, -48, 37, 146, 279, 436?
12*s**2 + s - 159
What is the w'th term of -345, -333, -321, -309?
12*w - 357
What is the o'th term of -21, -54, -97, -144, -189?
o**3 - 11*o**2 - 7*o - 4
What is the b'th term of -60, -238, -542, -972, -1528, -2210?
-63*b**2 + 11*b - 8
What is the i'th term of -99, -133, -219, -381, -643, -1029, -1563, -2269?
-4*i**3 - 2*i**2 - 93
What is the l'th term of 16, 11, -30, -125, -292, -549?
-3*l**3 + 16*l + 3
What is the s'th term of 15, 48, 101, 180, 291, 440, 633, 876?
s**3 + 4*s**2 + 14*s - 4
What is the i'th term of -4646, -4644, -4640, -4634, -4626, -4616?
i**2 - i - 4646
What is the b'th term of -27, -88, -191, -336, -523, -752, -1023?
-21*b**2 + 2*b - 8
What is the a'th term of -61, -64, -67, -70, -73, -76?
-3*a - 58
What is the m'th term of -1531, -3057, -4583, -6109, -7635?
-1526*m - 5
What is the d'th term of -6, -4, -2, 0?
2*d - 8
What is the h'th term of 1200, 1198, 1196, 1194, 1192?
-2*h + 1202
What is the m'th term of 121, 108, 77, 22, -63, -184, -347?
-m**3 - 3*m**2 + 3*m + 122
What is the d'th term of -175, -359, -543, -727?
-184*d + 9
What is the i'th term of 32, -9, -50, -91?
-41*i + 73
What is the j'th term of 1101, 1100, 1099, 1098, 1097?
-j + 1102
What is the c'th term of -21, -98, -225, -402, -629, -906?
-25*c**2 - 2*c + 6
What is the r'th term of 158, 151, 142, 131?
-r**2 - 4*r + 163
What is the z'th term of -514, -1037, -1568, -2113, -2678, -3269, -3892, -4553?
-z**3 + 2*z**2 - 522*z + 7
What is the v'th term of -2119, -2108, -2083, -2038, -1967, -1864, -1723?
v**3 + v**2 + v - 2122
What is the j'th term of -261, -256, -249, -240, -229?
j**2 + 2*j - 264
What is the r'th term of -13, -26, -39, -52?
-13*r
What is the y'th term of -389, -383, -365, -329, -269?
y**3 - y - 389
What is the u'th term of -679, -675, -671, -667?
4*u - 683
What is the m'th term of 59, 61, 65, 71, 79, 89, 101?
m**2 - m + 59
What is the z'th term of 10988, 10987, 10986?
-z + 10989
What is the t'th term of -98, -101, -106, -113, -122, -133, -146?
-t**2 - 97
What is the h'th term of -19, -21, -27, -37, -51, -69?
-2*h**2 + 4*h - 21
What is the y'th term of -674, -673, -672?
y - 675
What is the q'th term of -3, -5, -9, -15, -23, -33, -45?
-q**2 + q - 3
What is the h'th term of 15, 49, 101, 165, 235, 305, 369?
-h**3 + 15*h**2 - 4*h + 5
What is the f'th term of 5403, 10808, 16213?
5405*f - 2
What is the d'th term of -22, -56, -124, -238, -410?
-2*d**3 - 5*d**2 - 5*d - 10
What is the n'th term of 17, 25, 33, 41?
8*n + 9
What is the c'th term of -2221, -2223, -2225, -2227, -2229, -2231?
-2*c - 2219
What is the w'th term of -12, -44, -100, -180, -284, -412, -564?
-12*w**2 + 4*w - 4
What is the c'th term of 8, -10, -28, -46, -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2). Suppose w = -p + 4 - 2. Let k(i) = i + 1. Let n be k(4). Solve n*c = 3*z - 20, -4*z - p*c = -z - 13 for z.
5
Let s(t) = 8*t**3 - 2. Let l be s(2). Let b(x) = -x + 1. Let a be b(-5). Suppose -a = 4*w - l. Solve 0 = 3*i - j - 2, 4*i + w = -0*i - 2*j for i.
-1
Let n = 4 + -4. Suppose 0 = 3*m - 3 - n. Solve m = -2*y - 3*h, -y + 3*h + 0*h = 14 for y.
-5
Let t(v) = -v**3 - 10*v**2 - 11*v - 13. Let s be t(-9). Solve -f - 23 = -4*h - 3, s*h = 20 for f.
-4
Let y = 3 - 5. Let q = -4 - y. Let b be ((0/3)/(-1))/q. Solve p + 2*t - 2 = b, p - 5*t + 35 = -4*p for p.
-4
Let r be 16/8*(1 + 1). Suppose 5*n - 23 = -g, 0 - 8 = -r*g + n. Solve g*j = -3*d - 2*d + 1, 5 = 2*j - d for j.
2
Let m = 5 - 2. Suppose 3*s - 7 = -2*v - 0*v, 5*s - 1 = 2*v. Suppose 22 = 5*y + 4*z, -v*y + 2*z = -m*z + 11. Solve 4*u + y*d = 6, 3*d + 0 - 2 = u for u.
1
Let h be (1 + 1)*2/(-4). Let x(y) = -9*y**3 - y**2. Let p be x(h). Solve 3*z + p = 4*c, -4*c = 4*z + c - 41 for z.
4
Let j(n) = n + 0*n + n - 3*n. Let m be j(-2). Solve -1 - 1 = m*l, -2*l + 18 = -5*b for b.
-4
Let p be 1/((-12)/(-9))*-4. Let f(y) = 2*y - 7. Let d(w) = w - 1. Let o(t) = 3*d(t) - f(t). Let r be o(p). Solve 4*s - 4 = 0, 2*s = -3*k + 3 - r for k.
0
Let t(m) = m**2 + 10*m + 4. Let p be t(-11). Let b = p - 12. Solve 0 = -4*u - 3*j - 6, j - 3*j - 4 = -b*u for u.
0
Suppose 0 = -10*j + 8*j. Suppose 0 = m + 5*p - 5, -4*m - 4*p + 2 = -2. Solve 3*u - 5*x + 15 = m, -5*u + x - 3 = -j*x for u.
0
Suppose -5*s + 31 = 1. Suppose 0 = 4*z - z - s. Suppose 0*j + z*j = 4. Solve -l - i = 7, 0 = -j*l - 3*l + i - 17 for l.
-4
Let v(n) = 2*n - 5. Let z be v(5). Let w = -1 + z. Suppose 4*f = 3*i + 14, -2*f - f - w*i + 23 = 0. Solve 0 = -2*u - f*l + 6 + 19, -5*u - l + 28 = 0 for u.
5
Let c be 3/(-2)*82/(-3). Suppose 5*z = -4*v - c, -z - 3*z = -2*v + 12. Let t = z + 7. Solve 0 = t*u - 3*q + 3, -u + 4*u = 5*q - 4 for u.
-3
Let l = 9 - 7. Solve -4*a = -l*j + 2, -4*j + 5*j - 4*a = -1 for j.
3
Let m(q) be the first derivative of q**3/3 - 3*q**2/2 - 6*q + 5. Let z be m(5). Solve -u - 22 = -6*u + x, 5*u - z*x = 28 for u.
4
Let g be 6/8 + (-17)/(-4). Suppose h = 2*h - g*n - 15, 0 = -5*n - 15. Solve -2*r - 2*d - 3*d - 29 = 0, h = 4*r - 4*d - 12 for r.
-2
Suppose 36*g = 28*g + 24. Solve -5 = -g*z - 2*n, -5*z = n + 1 - 0 for z.
-1
Suppose -34 = 4*x - 46. Solve -6 - 11 = 5*q - x*z, -z + 7 = -2*q for q.
-4
Let b = 2 - 1. Suppose n - b = 2. Let f(j) = 3*j. Let u be f(1). Solve 2*y + h + 22 = -n*h, 17 = -2*y - u*h for y.
-1
Let s be 66 - (1 - 0) - -1. Let q = 120 - s. Suppose -q = -2*u - u. Solve b - 2*m + m + 6 = 0, 5*b - 2*m = -u for b.
-2
Let u be -23*(-2)/(2 - 0). Suppose k + 10 = 3*c, 3*c + 0*c - 18 = 3*k. Let q = 10 + k. Solve -q*j + 2*b + 30 = -j, 2*j - 3*b = u for j.
4
Let w(o) = o**2 - 9*o + 8. Let q be w(6). Let x be (-145)/q - 2/4. Solve 2*u + x = 2*v, -4*u = 5*v - 0 + 1 for v.
3
Let d be (1 - (-8)/6)*3. Let n be 19/7 - (-2)/d. Let o be 0/35*(0 - (-2)/(-6)). Solve -3*v = -2*f + 10, -2*f - 4*v + n*v + 10 = o for f.
5
Let w = -19 + 14. Let f = w - -8. Solve 3*j = f*x + 6, 6*x = 2*x + j - 17 for x.
-5
Let w(f) = f**2 + 3*f - 5. Let a be w(-5). Let t(p) = -p**2 + 10*p - 4. Let k be t(9). Solve a*n - d = 2, -n + k*d = -5*n + 19 for n.
1
Suppose -63 = -5*i - p - 15, -i = 4*p - 2. Suppose -y = y - i. Let q(g) = -g**2 + 8*g - 5. Let u be q(6). Solve -4*o = n - u, y*n + 19 = -o - 3 for o.
3
Suppose -4*x = -x - 6. Solve -2 = -2*s + x, 3*l + s - 5 = 0 for l.
1
Let l(n) = -n**2 + 8*n - 11. Let r be l(4). Solve -r*j + q + 12 = 0, j - 5*j - 2*q + 18 = 0 for j.
3
Suppose -62 + 60 = -c. Solve c*s = -5*p - 2, 5*p = -3*s + 1 + 1 for s.
4
Suppose 41 = 3*i + 5*d, 0 = 5*i - d - 2*d - 91. Let j = i - 10. Suppose 3*h - 4*n - 16 = -2*n, 3*n - 10 = -4*h. Solve -4 = k - 1, h*t + k = -j for t.
-1
Suppose -4*b - 4*u + 60 = 0, 5 = 5*b - 2*b - 5*u. Let m = b + 15. Let k be (m/(-4))/(2/(-8)). Solve 0 = -5*q - l - 2 + 7, 0 = 5*l + k for q.
2
Suppose -2*a = u + 2*a + 14, 2*a = -4*u. Suppose -5 = -2*n - 5*m, 2*m - 3*m + 1 = 4*n. Solve 3*w - 4*s = -11, u*w + 2*s + n = 16 for w.
3
Let n = 79 - 72. Solve -6 = -m - 5*j, m + 2 = -4*j + n for m.
1
Let p = -74 - -78. Solve -p*k = 4*o, 3*k = -2*o - 2*k + 3 for o.
-1
Suppose u - 6 = 9. Suppose 0 = a + 4*a - u. Suppose -2*x + 20 = a*n, -3*x = -6*n + 3*n. Solve 19 = -3*c + 4*o, -n*c - 8 = 2*o - 3*o for c.
-1
Let n be 30/3 - 2 - 4. Solve -l - 30 = n*l - 5*u, 4*u = 12 for l.
-3
Let t(f) = -f + 3. Let a be t(-3). Solve 0 = -4*v + 12, -3*s + a*s + 2*v + 6 = 0 for s.
-4
Suppose -p + 18 = 5*r, p + 7 = 4*r - 2. Solve -4*z + g = z - 30, -3*g - 30 = -p*z for z.
5
Suppose -42 = 2*z - 4*z. Solve 0 = -3*l + 2*s + z, -2*l + 4*s - 8 = -6*l for l.
5
Let b(u) = 3*u**2 + u - 1. Let w be b(1). Solve -4*d = -5*f + 40, -2*f + w = -3*d + 4*d for d.
-5
Let r be (-2)/8 + 9/(-12). Let q be r - (-8)/(2 + 0). Suppose 2*o = 3*f + q*o - 10, 4*f = o + 25. Solve -3*z - k = -f, k - 15 = -z - 2*k for z.
0
Let y = 58 - 46. Solve -5*j + 15 = 0, -3*j + y = -3*z - 0*z for z.
-1
Suppose -2*v - 4 = -3*v. Suppose z + v*d - 10 = 0, 8 + 0 = 4*d. Solve 3 = 3*q - z*u, -5*q = -u - 4*u for q.
3
Let x(f) = -f**3 + 3*f**2 + 3. Let l be x(3). Solve -4*g - a = a - 14, -l*g + a + 18 = 0 for g.
5
Let c = 9 + -2. Suppose 5*j + 4*h = -32, 0*j - 2*j + c = -5*h. Let s(i) = -i**2 - 4*i + 5. Let o be s(j). Solve -o*w + 30 = -9*k + 4*k, 0 = k - 5*w + 18 for k.
-3
Suppose 93 = 2*d - 23. Suppose -5*w + d = -4*x + 8, -1 = -w - x. Solve 2*h - h + 5*y = -12, -h = -y - w for h.
3
Suppose -13 + 2 = n. Let p = 16 + n. Solve 0 = -x + j + 3*j + 15, p*x = -3*j - 40 for x.
-5
Let z be (-6)/(-9) + (-1)/(-3). Suppose -z - 5 = -2*j. Suppose 4 = -2*x - 5*p, 0 = -2*x + 4*p - p + 12. Solve 0 = -0*k + j*k + 3*q + x, 3*q + 2 = -2*k for k.
-1
Suppose 4*b - 17 = x, 9 = 2*x + 3. Suppose -b*i + 77 = p, 4*i + 0*p - 56 = 2*p. Let d = -4 + i. Solve -3*j + 5*l = 13, 0 = j - 2*j + 5*l - d for j.
-1
Suppose v - 1 - 5 = 0. Let g be (-2)/v - 12/(-9). Suppose l = g + 2. Solve 0*j = -l*z - j - 1, -12 = 3*j for z.
1
Let f(m) = -4*m - 14. Suppose -5*p = 3*l + 53, 2*p - l = -3 - 16. Let z be f(p). Solve -4*w - z = 3*o, -o + 5 = 4*o - 3*w for o.
-2
Let d(f) = f - 9. Let a be d(7). Let w = 1 - a. Solve 3*u + 2*t = 4*u - 9, -2*t = w*u - 11 for u.
5
Let q be 5 - (1 - 2 - -2). Suppose -3*l - 41*x + 24 = -38*x, -5*x = 4*l - 37. Solve l*v = 5*v + 8, 0 = -s - q*v - 15 for s.
1
Suppose 4*c = -i, 4*c - 6*c = i - 2. Solve 3*n + 4*g - 29 = -7, -i*g + 20 = 2*n for n.
2
Suppose -8 = -4*s - 0*s. Suppose 6*v - 7 = v - s*n, -3*n = -2*v + 18. Solve -v*f - 7 - 7 = -2*r, -4*f - 24 = -4*r for f.
-2
Suppose 5*g - 3*g - 8 = 0. Suppose 0 = -3*l + g*l - 4. Solve c - 2*c = -3, 12 = -3*q + l*c for q.
0
Let p = 3 + -5. Let f = -6 + p. Let u = -5 - f. Solve 2*b - 10 - 6 = u*z, 0 = 4*z + 3*b - 7 for z.
-2
Let x(v) = -v + 4. Let s(y) = 3*y**3 + 2*y - 1. Let z be s(1). Let i be x(z). Solve 0*w = 5*j - 3*w + 32, i = -5*j - 4*w - 4 for j.
-4
Let l(i) = -i**2 + 6*i + 9. Let d be l(7). Let m = -214 - -218. Solve -d*q - 2*h = 2, q = -m*q + 5*h - 15 for q.
-2
Suppose 2*w + 27 + 5 = 0. Let s = -3 - w. Solve -4*u = u - 2*t + 9, -3*u + 5*t = s for u.
-1
Suppose 3*q + 261 = 2*g - 66, 2*g = 0. Let p = q + 165. Suppose -3*t + p = 4*f, f + 21 = 2*f - t. Solve 5*j + 2*s + 5 = f, -5*j + 4*s = -36 for j.
4
Let i be (3 + -2)/(1/11). Let m = i + -7. Solve -v + 8 = 2*v + 5*a, v + 2*a = m for v.
-4
Let l(f) = f**2 - 6. Let w be l(6). Let c be (-2)/(-3) + w/9. Suppose 11 + c = 3*d. Solve s + 3 = -2*z, -d*s + 2*z = z + 15 for s.
-3
Let z be 3*14*(-3)/(-9). Suppose y + 3*o + z = 4, 5*y = -o + 6. Suppose r = 3*d - 14, -3*r = y*d - 5*r - 12. Solve d*c - 4*x + 12 = 28, -3*c + 19 = 4*x for c.
5
Let d be 13*(-1 - 0) + -1. Let t be ((-16)/d)/(20/70). Suppose -u = 4*u - 95. Solve -u = 3*w + t*m, 0 = 5*w - w - m for w.
-1
Let g = 62 - 49. Solve 0 = -q - 2*b - 10, -q + 4*b + g = 5 for q.
-4
Let a(c) = -c - 1. Suppose 0 = -4*k - 5 - 11. Let r be a(k). Solve 0 = 2*m - 2*f + 10, -r*f + f - 6 = 2*m for m.
-4
Let u be (-9)/(-6)*2 - 15. Let d = -10 - u. Solve 4*z - d*g = -6, -4*z + 2*g + 2*g - 12 = 0 for z.
0
Suppose 5 = -5*r, -14 + 44 = 5*w - 5*r. Suppose 5 = -0*k + w*k. Solve k - 26 = -2*o - 3*f, -3*f + 15 = 0 for o.
5
Suppose -r = -0*r. Let n(d) = -4*d + r - 2 + 10*d. Let w be n(3). Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
3120156
What is the lowest common multiple of 15064284 and 97917846?
195835692
Calculate the least common multiple of 74483154 and 323.
74483154
Calculate the lowest common multiple of 630 and 4142340.
28996380
Find the common denominator of -19/8168 and -20/3909.
31928712
Calculate the common denominator of 113/76550 and 43/19122190.
95610950
What is the lowest common multiple of 731206 and 63?
6580854
Calculate the least common multiple of 621972 and 440.
68416920
Calculate the common denominator of 107/12898968 and -53/94592432.
283777296
What is the lowest common multiple of 27936 and 282528?
27405216
What is the common denominator of 65/36 and 131/71192916?
71192916
Find the common denominator of -49/93640 and -103/22300.
104408600
What is the least common multiple of 704850 and 493395?
4933950
What is the smallest common multiple of 159033 and 1044?
55343484
Calculate the least common multiple of 434200 and 676.
5644600
Find the common denominator of -89/215334 and -81/47852.
430668
What is the lowest common multiple of 3774112 and 7?
26418784
What is the least common multiple of 12132 and 56871?
76662108
Calculate the lowest common multiple of 24 and 431032.
1293096
Calculate the common denominator of 113/9936 and -157/1372272.
12350448
What is the smallest common multiple of 90 and 896670?
896670
Find the common denominator of -119/1981020 and 127/21372.
25753260
What is the least common multiple of 16222855 and 495?
146005695
Find the common denominator of 4/77 and -129/1219900.
8539300
Calculate the smallest common multiple of 873 and 111130863.
333392589
What is the common denominator of -21/1809928 and -11/4524820?
9049640
Calculate the common denominator of 27/994 and 51/372679.
5217506
Find the common denominator of -28/1013155 and 49/327.
3039465
Find the common denominator of 21/457952 and -15/3046942.
536261792
What is the least common multiple of 44 and 55685366?
111370732
Calculate the smallest common multiple of 81 and 26557251.
717045777
What is the smallest common multiple of 11683992 and 11?
128523912
Find the common denominator of -64/222040765 and 23/2.
444081530
What is the common denominator of 17/313560 and -121/9375444?
93754440
Calculate the lowest common multiple of 9343182 and 106983.
28029546
What is the smallest common multiple of 6 and 2893095?
5786190
Calculate the common denominator of -87/5619376 and -133/25152.
67432512
Calculate the common denominator of 63/3910700 and -73/40.
7821400
What is the least common multiple of 115 and 17130170?
17130170
Find the common denominator of -63/310 and -73/3322476.
514983780
Calculate the common denominator of -97/8514 and 173/1180608.
3541824
Calculate the common denominator of 19/412225 and -159/26950.
40398050
What is the lowest common multiple of 4866480 and 4623156?
92463120
Calculate the common denominator of -199/1348440 and -133/600.
6742200
Calculate the least common multiple of 8400 and 544432.
40832400
What is the least common multiple of 3 and 1072884?
1072884
Calculate the least common multiple of 167108 and 122824380.
122824380
Calculate the lowest common multiple of 68 and 171817368.
171817368
Calculate the common denominator of 91/323768 and 4/121413.
971304
Calculate the smallest common multiple of 1604 and 88272130.
176544260
Calculate the least common multiple of 194686668 and 70795152.
778746672
Find the common denominator of -55/32796244 and 5/16.
131184976
Calculate the common denominator of 19/60951208 and -15/12780092.
792365704
What is the lowest common multiple of 37158777 and 61931295?
185793885
Calculate the least common multiple of 370449 and 9.
370449
Calculate the smallest common multiple of 90992 and 6252312.
587717328
Calculate the smallest common multiple of 5699650 and 220.
11399300
Calculate the common denominator of -31/275448 and 55/321356.
1928136
What is the lowest common multiple of 2343 and 295644?
3252084
Calculate the smallest common multiple of 11242 and 58254.
640794
What is the least common multiple of 317 and 24588?
7794396
Calculate the common denominator of 15/3472 and -81/1450442.
359709616
Find the common denominator of 81/64 and -117/144067520.
144067520
What is the smallest common multiple of 116905376 and 25051152?
350716128
Calculate the smallest common multiple of 20 and 3501050.
7002100
Calculate the lowest common multiple of 9726 and 1134.
1838214
Calculate the lowest common multiple of 141298259 and 82.
282596518
Calculate the smallest common multiple of 1329 and 876624.
388344432
Calculate the common denominator of 5/7956 and -24/481117.
17320212
Calculate the smallest common multiple of 237 and 8495850.
671172150
What is the smallest common multiple of 3777564 and 2833173?
11332692
Find the common denominator of -133/3920540 and 141/254150.
450862100
Calculate the common denominator of 71/3881420 and 37/8733195.
34932780
Calculate the common denominator of 12/4685615 and -181/5111580.
56227380
What is the least common multiple of 504920 and 2782?
54026440
Calculate the lowest common multiple of 8 and 51032349.
408258792
Calculate the lowest common multiple of 133 and 63609530.
445266710
What is the lowest common multiple of 167922 and 1224?
11418696
Calculate the smallest common multiple of 7342110 and 648.
88105320
Calculate the common denominator of 41/6206 and -53/3556.
11034268
Calculate the lowest common multiple of 101087434 and 10.
505437170
Calculate the smallest common multiple of 7213323 and 739828.
28853292
What is the common denominator of 5/38801894 and -24/29414339?
1823689018
Calculate the common denominator of 157/952182 and -13/630.
4760910
Calculate the common denominator of -83/126 and 65/1003308.
21069468
What is the common denominator of -187/1505280 and 46/987?
70748160
What is the least common multiple of 5 and 570513935?
570513935
Find the common denominator of -1/250999 and 51/56.
2007992
Calculate the smallest common multiple of 76956516 and 38478258.
76956516
What is the smallest common multiple of 768 and 182112?
1456896
What is the common denominator of 77/1735824 and 55/108576?
135394272
Find the common denominator of 3/14765275 and 83/9105.
44295825
Find the common denominator of 27/990968 and -57/88.
990968
What is the least common multiple of 7326 and 13838?
124542
What is the smallest common multiple of 357996 and 31951143?
127804572
Calculate the common denominator of -145/10272 and 83/1253184.
1253184
What is the lowest common multiple of 29887 and 19956651?
379176369
Calculate the common denominator of 37/151326240 and -25/8.
151326240
Find the common denominator of -157/2640 and 59/82830.
662640
Find the common denominator of -103/673974 and 127/673974.
673974
Calculate the least common multiple of 1874313 and 723941.
136824849
Calculate the common denominator of -125/14029794 and 79/4590.
70148970
What is the common denominator of -139/4116 and 69/670222?
4021332
What is the least common multiple of 1596 and 6241?
9960636
What is the common denominator of 43/28823304 and 20/568881?
86469912
What is the common denominator of -139/1360758 and 74/21?
1360758
What is the common denominator of -65/86812 and -131/1716?
3385668
Find the common denominator of -103/42 and -46/39634745.
1664659290
What is the common denominator of -41/64883 and 4/444199?
5774587
Calculate the smallest common multiple of 945 and 809025.
7281225
What is the common denominator of 161/6830148 and -29/18782907?
75131628
Find the common denominator of -35/258 and 121/243189080.
729567240
Calculate the common denominator of -79/161015246 and 53/81046.
1127106722
Calculate the common denominator of -47/1010853 and 40/1591803.
138486861
What is the common denominator of 47/32708 and 73/34918?
2583932
Find the common denominator of -76/8349 and -82/2004519.
22049709
Calculate the common denominator of -47/14 and 55/114567322.
801971254
Find the common denominator of 47/145116 and 123/6659212.
59932908
Calculate the common denominator of 71/3792384 and -151/48.
3792384
What is the common denominator of 52/15 and 20/73263?
366315
What is the smallest common multiple of 31216 and 96?
187296
Calculate the lowest common multiple of 1706375 and 36125.
29008375
What is the lowest common multiple of 56760 a
|
{
"pile_set_name": "DM Mathematics"
}
|
-4). Let b be u(l). What is the closest to 0 in b, 4, 2/5?
2/5
Let s = -0.3 - -0.7. Let j = s - 0.9. What is the closest to 0.1 in -0.2, 1/4, j?
1/4
Let h(r) = r**2 + 2*r - 5. Let t be h(-2). Let m = -0.3 + -0.7. Which is the nearest to m? (a) t (b) 0.6 (c) -1/4
c
Let p = 227/1143 + 3/127. Let j = -0.18 - -0.08. Which is the nearest to j? (a) 1/5 (b) p (c) -2/3
a
Let j = 4.07 - 0.07. Let y = -4.3 + j. Let i = y + 0.6. Which is the nearest to i? (a) 0.2 (b) 3 (c) -1
a
Let i = 0.01 - 1.01. What is the nearest to i in 0.5, -1/3, 5?
-1/3
Let p = 47 + -46. Which is the closest to p? (a) -1/8 (b) 0.2 (c) -1.1
b
Let k be ((-6)/32)/(6/24). Which is the closest to 2? (a) 2 (b) 1/8 (c) k
a
Let s = 0.7 - 0.7. Let n = -24 - -49/2. Let o = 0.3 + 0.2. What is the nearest to n in 0.1, s, o?
o
Suppose 0 = -4*p - 4*y - 156, -2*y - 5 = p + 33. Let x be (1*4/p)/(-1). Which is the nearest to 2/3? (a) 1 (b) x (c) 0
a
Let r = 1 + 0. Let z be -1 + 1 + (-2)/5. Let v be -1 + 0 + 39/45. What is the nearest to r in v, 5, z?
v
Let s be ((-76)/(-84) + -1)*-3. Which is the nearest to 0.1? (a) 1 (b) s (c) -3/2
b
Let o = -0.09 - 14.91. Let x = o + 17. What is the nearest to 2/5 in -2, x, 0.1?
0.1
Suppose 14*k - 1 = 15*k. Let j be 2 - 1/((-26)/(-56)). Which is the nearest to k? (a) 0.1 (b) 4 (c) j
c
Let x = 7 + -15/2. What is the nearest to 2 in 2/5, x, 2/3?
2/3
Let t be (1/(-2))/(16/160). What is the closest to 0.1 in -0.2, t, -1/4?
-0.2
Let a be 68/51*(-18)/32. What is the nearest to 4 in a, -0.5, -4?
-0.5
Let z = 0.1 + -0.18. Let t = 27.08 + -29. Let g = t + z. Which is the closest to -1? (a) -3/4 (b) 2/3 (c) g
a
Let i = -2 + -2. Let h be (-8)/(-36) - 254/90. Let d = -34/15 - h. What is the closest to -1 in 0.2, i, d?
0.2
Let h = 0 - 0.1. Let i(z) = z**3 + 2*z - 2. Let a be i(1). What is the nearest to h in -1/3, 2/9, a?
-1/3
Let x(p) = -67*p + 4. Let d be x(-4). Suppose 3*v = -v - d. Let m = v + 614/9. What is the closest to 0 in 5, m, 1/3?
m
Let y = 0 + 0.1. Let v be (-3 - (-20)/4)/8. Let k = -0.07 - -4.07. Which is the closest to 1? (a) k (b) y (c) v
c
Let m = 40 + -40.1. Let h be 4/10 + 3/(-5). Which is the nearest to -1? (a) h (b) -1/7 (c) m
a
Let i = 20 - 28. Let w be 2 + 26/i + 2. Let t = -528/5 - -105. What is the closest to 1 in -3, t, w?
w
Suppose -5*l = -5 - 10. What is the nearest to 0 in l, 0.5, -5?
0.5
Let p = 51.98 - 52. Which is the nearest to 0? (a) -5 (b) 6 (c) p
c
Suppose -2*g - 3*g = 0. Let r = -0.056 - 3.044. Let p = r - -3. Which is the nearest to g? (a) p (b) -2/3 (c) -0.4
a
Let w = -8 - -17. Let r = w - 5. Let p be 6/27 - 41/63. What is the closest to -1 in p, 2/5, r?
p
Let n = -103/327 - 2/109. Let a(v) = v**2 + 5*v + 2. Let h be a(-4). What is the closest to -1 in n, h, 0.5?
n
Let l be 5 + -2 - (-777)/28. Let k = 31 - l. Which is the nearest to k? (a) 2/3 (b) 0.1 (c) 1
b
Let r = -1/10 - -7/20. Let q = 36 - 18. Let d = -18.5 + q. What is the nearest to -1 in -1/3, d, r?
d
Let o = -0.03 - -2.03. Let t = -24 - -24. Suppose 3*j - 5 = -2*j. Which is the nearest to o? (a) -2/11 (b) t (c) j
c
Let o = 1.7 - -0.3. Let v = -6 + o. Let f = v + 4. What is the nearest to f in -5, -3/7, -4?
-3/7
Let n(p) = -p + 7. Let d be n(7). Suppose 4*u = 11 + 9. Which is the closest to d? (a) -2/11 (b) 4 (c) u
a
Let p = -15 + 61/4. Which is the nearest to -3? (a) p (b) 0 (c) -0.3
c
Let k be 54/10 - (-4)/(-10). Let j be 0/(4 - (0 - -2)). What is the closest to 0 in 3, k, j?
j
Let f = -1.17 - -0.17. What is the nearest to -1 in f, 0, 1/7?
f
Let v = -17/3 + 6. What is the closest to v in -0.3, -3, 3?
-0.3
Let y = -2.7 - 0.3. Let n = y - -2.8. Which is the nearest to 0? (a) n (b) 2/5 (c) -0.3
a
Let n = -2.4 - -0.4. What is the closest to n in -0.1, 2/3, -2/9?
-2/9
Let n = 172 - 172.08. What is the nearest to n in -5, -1/3, 0.3?
-1/3
Let j be (-1)/(-3) - 8/(-12). Suppose u = 3 + j. Which is the closest to -0.1? (a) -3 (b) u (c) 2/7
c
Let p = 4 + -3.5. Let h be (-12)/105 - (-4)/10. What is the nearest to h in -0.3, p, -6/11?
p
Suppose 3*l = -4*y + 575, 0 = y + l - 112 - 32. Let m = 718/5 - y. Which is the closest to 1/4? (a) m (b) 4 (c) 1
a
Let r be (-1 + 5)*(-2)/28. Let u = 194 + -192. What is the closest to r in 5, u, 2/3?
2/3
Let f = 45 - 69. Let p be 4/16 - (-22)/f. What is the nearest to -1 in -5, -0.3, p?
p
Let k = -0.03 + -4.97. Let y = 1.7 + 0.3. What is the nearest to 1/4 in y, k, 1/11?
1/11
Let p = 2 - 1. Let u = -20 + 16. Which is the nearest to p? (a) u (b) -2/7 (c) -6/11
b
Let w(q) be the first derivative of -q**3/3 - 7*q**2/2 - 1. Let h be w(-7). Let d be -2*(5/2 - 0). What is the nearest to -0.1 in 0.5, h, d?
h
Let x(z) = -3*z**2 - 2*z - 1. Let g be x(-1). Let y = 3 + -2.9. Let v = 13/10 - 4/5. What is the closest to -1 in y, g, v?
g
Let y = 0.3 + 0.7. Let h(x) = x**2 + 7*x + 7. Suppose -5*f = -3*v - 13, 3*v + 3*f = -2*f - 23. Let p be h(v). What is the closest to p in 4, y, -5?
y
Let a = 69.9 + -70. What is the nearest to -0.3 in a, 14, -3?
a
Suppose j = 3*q + 6 + 1, 4*q = -2*j + 4. Suppose j*h = 4*w - 2 + 6, -2*h - 5*w - 26 = 0. Which is the nearest to -1? (a) 4 (b) h (c) -2/7
c
Let w = 0.03 + -0.83. Let j = -1.1 - w. Suppose -4*h + 12 = 3*m, h - 4 = -3*m - 1. What is the closest to -1 in j, -4, h?
j
Let y be 4/10 - 3198/720. Let d = -19/8 - y. Let q = 0.1 + -2.1. Which is the nearest to 0? (a) q (b) 1 (c) d
b
Let c be 7/(-3) + (-4)/(-2). Let i = 1.1 + -1. Let d = -1.2 + 1.1. What is the nearest to c in 2, i, d?
d
Let w be (8/(-6))/((-18)/27). Let h = 2 - w. Which is the nearest to -2/5? (a) h (b) -1 (c) 2
a
Let n = 1 - 0. Let j = -76.8 - -77. What is the nearest to n in -4, -5, j?
j
Let h be 7/(-6) + (-2)/(-4). Let l be 4/(-2) - -24 - 2. Suppose -5*g + 10*g = -l. Which is the closest to h? (a) g (b) -1/4 (c) 4
b
Suppose -6 = 2*i + 4*u, -12 = 4*i + 2*u + 3*u. Which is the closest to -0.1? (a) 4 (b) -5 (c) i
c
Let p = -74 + 3551/48. Let s = 35/144 + p. Let h = -0.6 + 0.4. What is the nearest to s in 2, 5, h?
h
Let h = 41.6 - 42. Which is the nearest to 0? (a) h (b) 3/2 (c) -2/7
c
Suppose 0 = 3*q - 3*w + 69, 0*w + 88 = -4*q + 2*w. Let u be 78/q + 6/(-21). What is the nearest to 1 in u, 1/4, -2?
1/4
Let m = 167 + -1835/11. Let v = 132 - 132.3. What is the closest to 1/2 in m, -2/3, v?
m
Let l be -2*(-2 + (-591)/6). Let x = 2615/13 - l. Which is the closest to 0.1? (a) 1/5 (b) x (c) 5
b
Suppose 0 = -3*n - 0*n, 3*n = -5*o + 5. Let w = 0.506 + -0.006. Which is the closest to o? (a) -0.4 (b) 1/5 (c) w
c
Let f = 31 - 32. What is the closest to -1 in -2, -2/5, f?
f
Let v = 351/4 + -87. Which is the closest to 0.4? (a) 0.4 (b) -2 (c) v
a
Let x = 11 - 21. Let j = -13 - x. Let d = 273/5 + -55. Which is the nearest to d? (a) 2/9 (b) 0.2 (c) j
b
Let f = 4 - 3. Let g = -2.06 - -0.06. Let u = -87/2 + 45. What is the nearest to f in g, -2/5, u?
u
Let x = -0.15 - -0.01. Let p = x - 0.36. Let g = 0.6 - 0.2. What is the closest to 0.1 in g, p, 3?
g
Let y = -88 - -80.6. Let v = -7 - y. What is the closest to 2 in 1, -1, v?
1
Let w = -2 + 3. Let o = -1.5 + -2.5. Which is the closest to 0? (a) w (b) 5 (c) o
a
Let z = 1 - 2. Let w be (25/5)/(-10)*1. Which is the nearest to -1? (a) 1/6 (b) z (c) w
b
Let n = 0.02 - -0.03. Let s = -0.05 + n. What is the closest to -0.1 in s, -0.4, 1/2?
s
Let s(m) = -m + 14. Let t be s(10). Let v = -0.08 + -1.92. Which is the closest to 0.1? (a) t (b) -3 (c) v
c
Let o = -7.2 - -7.4. What is the nearest to 0 in o, 1/3, -4?
o
Let i = -5 + 4.6. Which is the nearest to 1? (a) i (b) 4 (c) 1
c
Suppose -r + 5 = 1. Suppose -6*j + 26 = -2*o - j, -2*o - r*j = -10. Which is the nearest to o? (a) -3 (b) 0.5 (c) -1
a
Let g = -0.33 - 0.07. Let i = -0.2 + 0.6. Let j = i - 0.9. What is the nearest to 1 in -1/5, j, g?
-1/5
Let s = -26 - -24. What is the nearest to 0 in s, 1, 1/2?
1/2
Let h = 59 - 53.4. Let x = -6 + h. Let j = -0.7 + -0.3. Which is the nearest to j? (a) x (b) -1/3 (c) 2
a
Let i be (6/3)/(-1 + 3). What is the closest to 0.1 in -0.4, 4, i?
-0.4
Let i = -1.8 - 2.15. Let o = 0.05 - i. What is the closest to 0.1 in -5, -1/9, o?
-1/9
Suppose 3*x + 1 = 13. Suppose 14 = -5*v + x*f, 0*f - 5 = v - 3*f. What is the nearest to 0 in 5, v, -0.5?
-0.5
Let o
|
{
"pile_set_name": "DM Mathematics"
}
|
-8 - -13) - -2.
10
Evaluate 7 + 18 + -13 + -16.
-4
Calculate 10 - 0 - (-9 + 3 + (-15 - -25)).
6
Evaluate -9 + 13 + 19 + -16.
7
(-1 - -5) + 17 - 2 - (-72 - -62)
29
Evaluate -24 - -35 - (14 - 15).
12
What is the value of 42 + -31 - (4 - (-1 + 4))?
10
-10 + 1 - (-8 + -11 + 10 + -21)
21
-16 + -2 + -30 + 38 - 12
-22
What is 29 + -11 + 5 + 8 + -10?
21
Calculate -4 - (-2 + 19) - -10.
-11
What is (17 - 13) + (-5 - (4 - 1))?
-4
-4 - 36 - ((-17 - (13 - 16)) + 13)
-39
Evaluate (-186 - -184) + -1 + 0 - (1 - 0).
-4
Calculate -4 + (-7 - -1 - -13) - 8.
-5
What is 4 + (-9 + 29 + (-6 - -2) - 9)?
11
Evaluate 3 - (25 + -17 + 11).
-16
Evaluate (4 - (-8 + 6)) + 1 + -11 + -14.
-18
Calculate -51 + (-26 - -68) - (-2 + 10).
-17
4 + (-13 - -1) + (-3 - (-2 + 2))
-11
What is -22 - (-24 + -35 - -20)?
17
Calculate -9 + (-1 - -3) + (24 - 19 - 2).
-4
What is the value of 30 - ((17 - 5) + 8)?
10
What is the value of 9 - (9 - (-1 + 9 - (-1 - -2)))?
7
What is -16 + 37 + 13 + -27?
7
Evaluate -40 + (43 - 22 - 17).
-36
Calculate -3 - ((5 - 1) + -6).
-1
What is 0 + (13 - (3 - (-12 + -13)))?
-15
What is 13 - (38 + -17 + -6)?
-2
What is (-3 - 11) + 9 + 5?
0
Evaluate 15 - ((18 - 11) + -2).
10
3 - (-515 + 519 + (0 - (-2 + -2)))
-5
What is 55 - (38 - (-15 + 20))?
22
-1 + (-13 - (3 - 2) - (7 + -10))
-12
-708 - -707 - (11 + (3 - (0 + 2)))
-13
What is the value of (2 - 5 - (-34 - -24 - -14)) + -8?
-15
What is the value of -529 - -529 - (0 + 0 + -5)?
5
What is -18 + 30 - -2 - 9?
5
What is the value of (8 - (-11 - -23)) + (3 - 1) + 20?
18
What is -15 - 1 - ((-94 - -43) + 39)?
-4
10 + 28 + -5 + -1 + -9
23
What is the value of (-11 + 24 + 7 - 15) + 9 + 3?
17
What is the value of 8 + -6 + 20 + (-2 - 9)?
11
What is the value of (3 - 11) + (-7 - (-37 + 33))?
-11
What is the value of (68 - 89) + (14 - 1)?
-8
Calculate (1 - -1) + 2 - (336 + -340) - 12.
-4
What is (-6 - (-26 + 27)) + 10 - (1 - 13)?
15
What is the value of 0 + -4 + 4 - (-3 + 5)?
-2
Calculate (-2 - 1 - 2) + (22 - (-1 - -5)).
13
What is the value of -1 - 0 - (7 - (46 - 15))?
23
12 + -1 + 10 + (-1 - 8)
12
Evaluate 11 + -26 + -5 + 2 + 2.
-16
What is 4 - ((4 - (14 - 5)) + 14)?
-5
What is -1 + 28 + (53 - (-27 - -98))?
9
What is 33 - 19 - 4 - (-3 - -3)?
10
17 - ((-30 - -51) + 8)
-12
Evaluate 0 + (-10 - (10 + -4) - -12).
-4
Evaluate -2 + (-6 + 1 - (4 + -1)).
-10
(-12 - -29 - 13) + (-1 - 0)
3
What is 3 + (12 - 35) + -6 + (7 - 2)?
-21
What is -6 + -15 + -6 + 32 + 16?
21
Calculate (17 - 27) + -1 - -4.
-7
Evaluate (19 - 9) + 40 + -23.
27
Evaluate (6 - ((8 - 4) + -1 - -3)) + 17.
17
Evaluate (13 - 25) + -5 + 15 - -20.
18
Calculate -2 + -6 + 5 + (3 - 1).
-1
What is 10 - ((-33 - -35) + 0 + 4)?
4
What is -4 + -3 - (-7 - (-2 - -6))?
4
What is the value of 2 + (-21 + 3 - 4)?
-20
What is the value of 2 + (7 - 23) + (34 - 24)?
-4
What is the value of (9 + -2 - (-3 + 1 + 0)) + -1?
8
Calculate 18 + (28 - 36) + -28.
-18
Evaluate -15 + 6 - 27 - -18.
-18
Evaluate 8 - (-5 + 9) - (-5 + 0).
9
Evaluate 17 + -26 + 12 + 2 + (0 - 11).
-6
Evaluate -14 - (9 - 24) - 22 - 6.
-27
Calculate -1 - 4 - (12 - ((3 - 0) + 14)).
0
What is (-15 - (5 - 9)) + (10 - 8)?
-9
What is the value of 2 + -21 + 11 + 4?
-4
Evaluate 18 - (9 - 4) - 8.
5
1 + -10 + (-231 - -240) + 1
1
Calculate -6 - (9 + (11 - 10 - 5)).
-11
2 + -1 + (-14 - -7)
-6
What is 390 + -385 - (0 - 1)?
6
Calculate (3 - 5 - -3) + 10 + (0 - -17).
28
Calculate (6 + -8 + 16 - 30) + 2.
-14
Evaluate 1 + 1 + 13 + (2 - 5) + -4.
8
What is 35 + -45 + 28 - (1 + -2)?
19
Calculate -26 + 20 + (33 - 19).
8
Evaluate -24 - (-4 + 15 - 18).
-17
What is the value of -12 + (-16 - 12 - -70)?
30
Calculate 22 - -2 - (246 - 259).
37
What is the value of -11 - -7 - (-21 - 1)?
18
Calculate -7 - -1 - 9 - -1.
-14
Evaluate 1 - -23 - (1671 - 1645).
-2
(-28 - -15) + (9 - 2) - (-10 + 16)
-12
Calculate -240 + 219 + (0 - (-6 - -1)).
-16
What is the value of 1 - -3 - -1 - (16 - 18)?
7
What is the value of 0 - 8 - (-7 + (16 - 11))?
-6
Evaluate 11 - (22 - 5) - -7 - -2 - -14.
17
Evaluate (-1 - -10) + -2 - (-89 + 87).
9
What is the value of -27 + (23 + -26 - (0 + -3 - 3))?
-24
-35 + (1 - 5) + (-19 + 47 - 15)
-26
What is -2 - (-1 + -1) - -1 - (108 + -102)?
-5
5 + (-6 + 7 - 21) + 7
-8
What is the value of 18 + (3 - 0) + -12 + 3 + 8?
20
Calculate 9 + (12 - (14 - 2)) + 38 + -11.
36
What is the value of 6 - (3 + -11 - -11) - 3?
0
Calculate (-12 - (-6 - -3)) + (28 - -6 - 6).
19
What is the value of -19 - (18 + (28 - 64))?
-1
Evaluate -6 + 14 + 20 + -27.
1
Evaluate 0 + 4 - (86 - 88).
6
Calculate -3 + 30 + -15 - 3 - (0 - -1).
8
What is 13 - (20 - -1 - (42 - (-19 + 49)))?
4
Evaluate (-20 - (-13 + 0)) + 11 - 13.
-9
Calculate -2 + 0 + -6 - (-503 - -511).
-16
Calculate -24 + 28 + -1 - (7 - 1).
-3
Calculate (-7 - -4) + (-18 - (15 - 19)) + 20.
3
What is the value of -19 + -14 + 68 + (-13 - -1)?
23
What is (-7 - -2) + (1 - 1 - (-1 + -6))?
2
Evaluate 51 + -78 - (-22 + 1).
-6
What is the value of -37 + 19 + 9 + -15?
-24
Calculate 4 - (21 + -18 - (-10 + -1)).
-10
Evaluate -1 + 16 + -2 + -1106 + 1103.
10
(2 - 3) + (-4 - (-3 + -4 + -3))
5
What is the value of 26 - 38 - (2 + -15)?
1
Calculate -6 + 4 + 4 + 2 + -42 + 30.
-8
What is the value of -13 - (2 - -7 - 12)?
-10
Calculate -4 - (-5 + 17 + -3 + 1).
-14
Calculate 37 + (-3 - 32) - (13 - 1).
-10
Calculate 6 + ((8 - 4) + (8 - 16) - -20).
22
What is the value of -5 + (19 - 38) + 27?
3
12 + 11 + (-42 - 2)
-21
What is the value of (-2 - (-10 + 1)) + (112 - 121)?
-2
Calculate 10 + (-9 - -4 - -2 - 3) - -1.
5
-1548 + 1532 + (1 - -25)
10
What is 9 - (-5 - -12) - (0 + 8) - -7?
1
Evaluate 6 - (5 + -4 + 4 - -17).
-16
-4 + -2 + 5 - (-14 + 8 - -10)
-5
Calculate 31 + (1 - 10 - 5) + -11.
6
-24 + 8 + (-9 - -30)
5
What is 47 - -22 - 75 - (16 - -1)?
-23
What is -4 - ((-3 - 1) + -2 - (70 - 64))?
8
Evaluate 3 - (-9 + -7 + 8).
11
(1 - -8) + (15 - 33) + 7
-2
Calculate 5 + (-40 - -23 - -16).
4
(-4 - (14 + -7)) + 7 - -6
2
Calculate -1 - 24 - (-88 + 75).
-12
Calculate 0 + -4 - (9 + (3 - 2) + -17).
3
What is the value of 12 + (-15 - (8 + -15) - -18)?
22
-16 + 14 - -16 - 3 - 11
0
What is (-33 - -4 - -25) + 1 + -3 + 0?
-6
-1 + -17 + 13 - -2
-3
Calculate 5 - 0 - (-19 - (2 - 27)).
-1
17 + (17 - (11 + -6) - 10)
19
Evaluate 10 + -12 - -5 - (0 + -5).
8
Evaluate -1 + 18 + -13 - -4.
8
Evaluate (12 - 58) + 41 + (0 - 1) + -31.
-37
Calculate 14 - 23 - (-6 - 3) - (-9 - -1).
8
What is 1 + -5 + 1 + 13 + 1 + -9?
2
What is 5 + 1 + -11 + (-19 - -17)?
-7
(-4 - -13 - 24) + 11
-4
Evaluate 15 - ((-173 - -170) + (3 - (3 + -1))).
17
What is the value of (3 - 6 - -13) + (-9 - -23)?
24
(7 - 1) + (-21 - (0 + (-6 - 2)))
-7
What is (-1 - 0) + -271 + 266 + 2?
-4
-22 + 11 + 24 - 17
-4
What is the value of 3 - (0 + -12 - (-1 + -4 + 0))?
10
What is -14 - ((30 - 29 - (2 - 1)) + 2)?
-16
What is the value of (0 - 4) + (-32 + 32 - (8 - -1))?
-13
What is the value of 10 - ((1 - 19) + (34 - (38 + -14)))?
18
22 - -13 - (4 + 8)
23
What is 11 + (22 - 14) - (9 + 1)?
9
Calculate 10 - (-4 - ((5 - 9) + -14) - 7).
3
8 + -1 + -21 + 25 + -23 + -1
-13
What is the value of -18 - ((-7 + 13 - -2) + 0 + -9)?
-17
What is (-10 - 2) + 21 + (4 - (40 + -4))?
-23
Calculate (51 - 13) + (-164 - -121).
-5
What is the value of (-16 - -9) + (-11 - 3) - 3?
-24
Evaluate 12 + -2 + (22 - 42).
-10
-2 + (38 - 20) + (0 - 1) + -8
7
Evaluate 350 + -362 - (-1 + 0).
-11
(10 - 23) + 3 + (5 - 8) + -4
-17
What is the value of 15 + (-42 - -99) + -35?
37
Evaluate 1 - 8 - (-4 - (-15 - -9) - -3).
-12
-7 - (-9 - (1 + -7)) - 10
-14
Evaluate -103 + 44 - -49 - (-2 - -23).
-31
Evaluate 9 + -23 + -5 - (-1 + -7 - -16).
-27
What is -12 + 34 + (-31 - -5)?
-4
What is the value of -5 - ((-5 - (11 + -11)) + 3)?
-3
47 - 24 - 4 - 6
13
What is the value of 59 + -23 + (20 - 29)?
27
Evaluate 2 - (0 + 2) - (13 - (-6 - -14)).
-5
What is 3 + -7 + -6 + (-5 - (-8 - 4))?
-3
Evaluate (0 - (2 - (7 + -6))) + -1 - -11.
9
Calculate -3 - -22 - (-100 + 115).
4
Calculate -2 + 1 - -11 - (-12 - -2).
20
(12 + -3 - 1) + (-367 - -329)
-30
-3 - ((1 - -12) + -3 + -4)
-9
What is the value of -5 - ((8 - (2 - 5)) + 6 + -50)?
28
Calculate 1 + 2 - 8 - (29 - 39).
5
Calculate 31 + -2 + -16 + (-5 - -12).
20
What is the value of -6 + -2 + -2 + -6 + 5 + -1?
-12
(-1 - -7 - 11 - -1) + (-3 - 0)
-7
Evaluate 6 + -2 - (-2 - -1).
5
What is 1 + (-2 - 0) + -2 + -32 + 38?
3
Evaluate -1 - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
8, 3*d = -6. Solve -h - 12 = -t*h for h.
3
Let l be 8/(-2) - (0 - 7). Suppose -5*o = l*h + 26, 3*h + 3*o - 4 = -22. Let c be 0 + (h - 16/(-4)). Solve -y = c*y + 6 for y.
-2
Let o be (32/(-10))/(-5 - 46/(-10)). Suppose -j = -2*r - o, -j - 4*r = j + 8. Solve l = j*l for l.
0
Suppose -5*a + 42 = 2*a - 0*a. Let x(d) = -d**3 - 3*d**2 + 5*d + 3. Let k be x(-4). Let g be 5 - (k + 3 + -1). Solve g*f - a = 6 for f.
3
Let z = -6 - -3. Suppose 54*n + 237 = -33. Let x = z - n. Solve x*g = 1 + 1 for g.
1
Let v(t) = t**2 - 3*t - 7. Let p be v(5). Suppose 0 = p*b - 4*b. Let j be (9/(-6))/(-3)*0. Solve -x + j*x + 5 = b for x.
5
Suppose 3*z - 5*w - 28 = 0, -3*w - w + 10 = 3*z. Solve z*y = 4*y - 6 for y.
-3
Let r(k) = 2*k - 5. Let f be r(5). Suppose 4*l = 2*s - 24 - 10, l = -f*s + 30. Solve -5*u = -s*u for u.
0
Suppose -49*z - 159 = -52*z. Solve -z*h + 56*h = -15 for h.
-5
Let v be (1 + 45/(-27))*(-6)/2. Solve -v*k = 5*k for k.
0
Let i(j) = -23*j - 132. Let r be i(-8). Solve -17 + r = -7*z for z.
-5
Let d be 5/(-1) + -5 + 10. Solve 8 = -4*k - d for k.
-2
Suppose 80 = 5*f + 2*y, 4 = 5*y - 21. Solve 9*u - 13 = f for u.
3
Suppose 5*n - 100 = 3*s - 5*s, 0 = -5*n - s + 100. Solve -7*r - 8 = n for r.
-4
Suppose -7*n + 3*o - 35 = -12*n, -o - 5 = 0. Solve -3*t + n = -t for t.
5
Let x = 9 + -16. Suppose 9*u + 2 = 83. Let o = u + x. Solve 16 = -6*d + o*d for d.
-4
Suppose 5*b + 4*k - 74 = k, -4*k + 40 = 3*b. Solve 2*o - 6*o = b for o.
-4
Let t(o) = 2*o**2 - 2*o - 1. Let q be t(-1). Suppose 3*p + h - 6 = 0, -3 = 2*p - 0*h + q*h. Solve -p*y + 2*y = 0 for y.
0
Let q = -378 - -395. Solve 25 = 12*h - q*h for h.
-5
Let z(q) = -q + 2. Let y = 17 + -19. Let w be z(y). Solve 7 - 23 = -w*x for x.
4
Suppose 0 = 2*q - 4*k + 20, 2*k - 1 = 9. Solve 5*i - 3*i = q for i.
0
Let m = -278 - -286. Solve j = 3 - m for j.
-5
Suppose 0 = -4*v - 4*z + 72, 276*z + 6 = 278*z. Let o = 1 + 2. Solve -o*p - 2*p = v for p.
-3
Let i = -24 - -20. Let t be ((-5)/2)/5*i. Suppose 0 = t*z - 6 - 2. Solve 4 + 4 = z*s for s.
2
Suppose -2*c - 26 = -5*d, -2*d + c + 14 = 3. Solve -f + d*f - 9 = 0 for f.
3
Let b(z) = -3*z + 24. Let y be b(7). Suppose 9 = -y*t - p + 4*p, 4*t + 3*p = 16. Solve -j - 2 = t for j.
-3
Let m be 0/(-3*2/3)*-1. Suppose 0*k + 5*v + 27 = 2*k, 5*k - 2*v - 36 = m. Solve 5*g = k + 4 for g.
2
Let b = 10 - 7. Suppose 0 = 3*m - b*j + 4*j - 9, -m = -4*j - 16. Solve r = -m*r + 25 for r.
5
Let i(h) = -h**3 - 8*h**2 - 17*h - 70. Let c be i(-7). Suppose 0 = -5*x + 5*r + 10, x - 5*r = -2*x + 4. Solve c = x*w - 14 - 1 for w.
5
Let c = 9 - -6. Solve -4*x + c = -5 for x.
5
Suppose 907 = 4*j - 1517. Let k be j/42 - (-3)/(-7). Solve 4 - k = 5*l for l.
-2
Let i = -256 - -292. Solve 0 = -37*h + i*h - 3 for h.
-3
Suppose 4*j = 9*j + 35. Let g(m) = m**3 + 11*m**2 + 28*m + 1. Let k be g(j). Solve 2*y - k = -7 for y.
-3
Suppose -3*c = -3, -5*c = -3*u - 1 + 5. Let t(r) = 3*r**2 - 2*r + 4. Let o be t(2). Solve 0 = -u*g + o for g.
4
Suppose 5*x = -i + 10, -5*x - 1 = -6*x. Suppose 7*s - i*s - 8 = 0. Suppose -4*l - 17 = -g, 2*l - 31 = -5*g + s*l. Solve 0 = -g*u + 2 + 3 for u.
1
Let q(k) = 3 + k - 10*k**2 + k**3 - 1 + 6*k**2. Let z be q(4). Suppose 0 = 5*j + 2*v - z, -5*j - v = -2*v - 12. Solve j*p + 2 = 8 for p.
3
Let p = -360 + 371. Solve -p = -5*i + 9 for i.
4
Let f(x) = x**3 + 14*x**2 - 16*x - 13. Let r be f(-15). Suppose 0 = -2*y - r, -2*n = -0*n + 2*y - 28. Let s = n - 8. Solve -i = -2 + s for i.
-5
Let s = 248 - 246. Solve -2*f - 4 = s for f.
-3
Let a(d) = -2*d**2 + 10*d + 1. Let f be -8 + 9 + 2*1. Let t be f + 3 + -1 + 0. Let y be a(t). Solve 0 = r - 4 + y for r.
3
Let y(r) = 2*r + 3*r - 2*r - 4*r - 3. Let s be y(-4). Suppose 3*h = 2*o - s, -2*o - 4*h + 27 + 9 = 0. Solve 2*d = -o + 2 for d.
-3
Let p(m) = m**3 + 12*m**2 + 30*m - 7. Let h be p(-8). Solve 0 = -h*s - 0*s + 45 for s.
5
Let t = -20 + 28. Let k = t + 1. Suppose -5*c - 2 + 22 = 0. Solve x + k = c*x for x.
3
Let c = -422 + 515. Solve -c = z - 98 for z.
5
Let w(t) = t**2 + t - 7. Let y be w(3). Suppose y*o - 8 = o. Solve 0 = -3*z + o*z for z.
0
Suppose 27 = 5*i - 8. Suppose 4*c + 2*w = 41 - i, 0 = -c - 2*w + 16. Suppose -9 = -c*b + 3*b. Solve 2*j = b*j for j.
0
Suppose -2*o + 5 = -o. Suppose o*y - 11 = -2*m, 5*y - 5 - 4 = -3*m. Let g be -3 - 3*(-3 - m). Solve 2*r = -g*r for r.
0
Suppose 3*f - f = 152. Let q = f + -41. Suppose k + 3*k + 26 = 2*g, 5*g = 4*k + q. Solve 0*p = -g*p for p.
0
Let f = -36 + 41. Let w be 2*(-2)/((-4)/f). Solve 0*q + w = -q for q.
-5
Suppose 2*w = -3*w + 15. Suppose -7 = 2*r + 3*f, -4*r = -0*r - w*f - 31. Suppose 4*g = -2*a + 4*a, a - r*g = 0. Solve 0 = -a*x - x for x.
0
Let k = 23 - 16. Suppose 7*z - k = 3*z - 5*j, -z - 3*j = 0. Suppose -4*n + 5*h + 8 = 0, -3*h + 2*h - 8 = -4*n. Solve z*y - 4 = n for y.
2
Let i(r) = r + 21. Let d be i(-20). Suppose 2*s - 4*w = w + 19, 22 = 5*s - 4*w. Solve -q + d = -s for q.
3
Let n = 287 + -287. Solve -10*z + z - 9 = n for z.
-1
Let l(c) = -c**2 + 8*c + 5. Let g be l(8). Let q = g - 5. Suppose -21 = -q*t - t. Solve 4*u - 1 = -t for u.
-5
Let x(s) = -4*s + 16. Let k(u) = -u**2 + 13*u + 4. Let g be k(13). Let f be x(g). Solve f = 5*d + 8 - 3 for d.
-1
Suppose 0 = 4*u - 2*b - 16, 4*u + 5*b + 2 = -10. Let d(z) = -1 + u*z - 1 - 3 + 1. Let h be d(4). Solve -19 = h*m + 1 for m.
-5
Let c(r) = r - 5. Let x(l) = 2*l**2 + 8*l + 1. Let y be x(-5). Let o be c(y). Solve -2*s = s + o for s.
-2
Let w = 11 + -8. Let x be (4*(w - 13))/(-2). Solve x = 4*f + f for f.
4
Suppose 0 = -12*w + 2 + 70. Solve 6*u = w + 12 for u.
3
Let u = -134 - -140. Suppose -3*m = -u*m. Solve -n - 4 + m = 0 for n.
-4
Suppose -2*b - 22 = 3*i, 4*b + 34 = 2*i - 42. Let l be 10/(-4)*494/95. Let v = l - b. Solve -k + v*k = -15 for k.
-5
Suppose 35 = 3*t - 2*o + 30, -t = -2*o + 1. Solve -19 = -t*p - 13 for p.
2
Suppose -2*r = -3*j + 24, -4*j = -2*r + r - 32. Suppose 0 = 5*a - j*a + 6. Solve -4*y = -a*y + 4 for y.
-2
Let m = 732 + -726. Solve 3 - 33 = -m*c for c.
5
Suppose -2*h + 3*s = -109, -14*s + 11*s = -3*h + 159. Solve -h = -28*j + 38*j for j.
-5
Let z = -62 + 72. Let d be (z/3)/(3*4/18). Solve 0 = d*r - 10 - 10 for r.
4
Suppose 0 = -18*g + 21*g - 105. Solve g = 4*f + 3*f for f.
5
Let m = 16 - 14. Solve -5*w = -m*w + 6 for w.
-2
Let m be (30/9)/(4/6). Suppose m*h + 9 + 5 = -a, 0 = -5*a + 4*h + 17. Let n be (7 - a)/(39/26). Solve -3*p + p - n = 0 for p.
-2
Suppose 0*n + 17 = 2*t - 3*n, n = t - 8. Suppose -t*c = -17 + 3. Solve -c = 3*u - 11 for u.
3
Suppose -7*j + 8*j = 20. Solve -4*l + 0*l = j for l.
-5
Let o(y) = 2*y**2 - 17*y + 12. Let i be o(8). Suppose i*r = -0*r + 12. Solve r*q + q + 12 = 0 for q.
-3
Let s be 1*-3*(-2 + -3). Let t(q) = -q**3 + 6*q**2 + 14*q + 1. Let v be t(8). Let w = v + s. Solve -3*i + i = w for i.
0
Let k(v) be the second derivative of -v**2 - 5/6*v**3 + 0 - 12*v. Let h be k(-1). Solve 2*s = -1 - h for s.
-2
Suppose -3*v - 6 = -3*a, v - 5*a - 4 = -10*a. Let i be (7/(-5))/(v/5). Suppose -4*p - 2*b = -30, -2*p - 2*b - b = -25. Solve 4*n + p = -i for n.
-3
Let k = -302 - -304. Solve -m = k*m for m.
0
Let z = -218 - -223. Solve -z*b - 19 = 6 for b.
-5
Suppose 28 = 4*o + 20. Let j(r) = r**2 - 10*r + 19. Let u be j(8). Solve -o*g = -g + u for g.
-3
Suppose 3*w - 2*b + 14 = 0, b = 5*w - 3*b + 22. Let z = 182 + -218. Let f be (-4)/w*z/(-8). Solve -3*d + 15 = f for d.
4
Let y = -40 + 73. Let b = y + -28. Solve 0 = 2*r + b + 5 for r.
-5
Suppose h = 2 - 0. Suppose -3*r - 3*o + 9 = 0, h*r = 3*o + 7 + 4. Solve -q = -r*q + 3 for q.
1
Let l(v) = 7*v**3 - 4*v**2 - 6*v. Let p be l(2). Solve -9*n + 17 = -p for n.
5
Suppose c - 3*w = 17, 2*w - 20 = 6*w. Solve 0 = -4*t + c*t + 6 for t.
3
Suppose 3*k = -10*w + 5*w + 29, -w - 5 = -3*k. Solve -8 + k = -o for o.
5
Suppose -5*b + 4*a = 5*a - 29, 4*a - 26 = -5*b. Suppose -5*c + 9 + b = 0. Solve -c*d = -0*d + 3 for d.
-1
Suppose 0 = 2*l + 6, 0 = 3*f + l - 50 - 13. Let i be f - (-5)/((-15)/12). Suppose -p = 2 - 6, -3*p - i = -3*c. Solve -2*k = -0*k + c for k.
-5
Suppose 7 + 33 = 4*z. Suppose z*u = 15*u - 15. Let q = 2 + 3. Solve 2 - q = u*l for l.
-1
Let o = -1351 - -1357. Solve 6 - 12 = -o*l for l.
1
Let w = -14 - -23. Solve 3*m - w*m = -12 for m.
2
Let a(i) = 30*i**2 + 2*i - 1. Let m be a(-1). Solve 0 = -22*o + m*o + 10 for o.
-2
Suppose -4 = 4*z + 4*q, -q + 1 = 2. Suppose 3*m - 3 = -3
|
{
"pile_set_name": "DM Mathematics"
}
|
+ u*p**3 + 0*p + 0 + 0*p**4 + 1/30*p**5. Let k(i) = i**2. Give k(n(b)).
4*b**4
Let w(n) = -n. Let p(a) be the second derivative of -17*a**4/6 + 25*a. Calculate p(w(u)).
-34*u**2
Let c(s) be the third derivative of -s**4/24 + 12*s**2. Let p(b) = 5*b**2. Give c(p(j)).
-5*j**2
Let d(p) = -p. Let q(b) = -27575*b. Give d(q(y)).
27575*y
Let g(n) = 3*n**2. Let o(w) be the first derivative of -3*w**2/2 - 4. What is o(g(h))?
-9*h**2
Let w(v) be the third derivative of v**4/3 + v**2. Let t(c) = -664 + 664 + 2*c**2 - 4*c**2. Calculate t(w(m)).
-128*m**2
Let y(w) be the first derivative of w**2 - 23. Suppose -6*n = -4*n - 4. Let l(m) = 2*m**2 - 2*m**n - m**2. Determine l(y(q)).
-4*q**2
Let d(z) = z**2. Let q(n) = 5*n - 3*n**2 - 5*n - 5*n**2. Give d(q(o)).
64*o**4
Let n(i) = 8*i. Let f(j) = -713*j**2. Give f(n(w)).
-45632*w**2
Let q(o) = -2*o**2 - 125. Let y(j) = -j**2. Give q(y(c)).
-2*c**4 - 125
Let w(o) be the third derivative of -1/30*o**5 + 0 + 0*o**4 + 0*o**3 - o**2 + 0*o. Let q(k) = 2*k**2. Determine q(w(h)).
8*h**4
Let g(b) = -4*b. Let h(o) = -2*o**2 - 6. Let s(d) = -d**2 - 1. Let j(v) = v + 1. Let n be j(5). Let c(r) = n*s(r) - h(r). Give g(c(u)).
16*u**2
Let a(v) = 7*v**2 + 10*v + 6. Let l(c) = 21*c**2 + 29*c + 17. Let s(f) = 17*a(f) - 6*l(f). Let r(w) = -2*w. Calculate r(s(t)).
14*t**2 + 8*t
Let q(m) = 30*m - 19*m + 3*m. Let n(w) = 6*w - 2*w - 2*w. Determine q(n(r)).
28*r
Let y(b) = 13*b + 7. Let d(q) = -4*q - 2. Let s(v) = -7*d(v) - 2*y(v). Let x(o) be the first derivative of o**2 + 2. What is s(x(l))?
4*l
Suppose -7 = -4*f - 27. Let x = f - -10. Let z(n) = 11*n + 5. Let o(j) = 39*j + 18. Let k(d) = x*o(d) - 18*z(d). Let r(q) = q**2. What is k(r(i))?
-3*i**2
Let k(x) = 0 + 4*x**2 - 3*x**2 + 0. Let a(i) = -22*i**2. Give k(a(f)).
484*f**4
Let v(d) = -72*d. Let c(r) = 3*r**2. Calculate c(v(m)).
15552*m**2
Let c(n) = 143*n. Let p(m) = 27 - 3*m**2 - 27 + 5*m**2. Determine p(c(b)).
40898*b**2
Let i(d) = -3*d**2 + 190675*d - 190675*d. Let w(l) = -l**2 + 3*l**2 - l**2. What is i(w(m))?
-3*m**4
Let f(a) = 2*a**2. Let k(q) = -8*q - 7. Let g(t) = -3*t - t - 5 + 1. Let h(j) = -7*g(j) + 4*k(j). Calculate f(h(n)).
32*n**2
Let z(l) be the third derivative of -l**5/60 + l**2. Suppose -3*b + 6 = -0. Let h(w) = w**2 - w**2 - b*w**2. What is h(z(q))?
-2*q**4
Let l(t) = 33*t**2. Let u(w) = 30*w. Determine l(u(j)).
29700*j**2
Let p(t) = -2*t. Let h(l) = 7*l**2 - 6*l + 6. Let c(i) = 20*i**2 - 17*i + 17. Let u = -24 - -7. Let s = -2 + 8. Let y(n) = s*c(n) + u*h(n). What is p(y(k))?
-2*k**2
Let n(d) = -12*d + 8*d + 5*d. Let f(t) = 24*t**2. Determine n(f(c)).
24*c**2
Let c(n) be the third derivative of 3*n**5/20 + 3*n**2. Let d(f) = 3*f. Give d(c(l)).
27*l**2
Let b(s) be the second derivative of -s**6/360 - 5*s**3/3 + 6*s. Let f(d) be the second derivative of b(d). Let x(r) = 13*r**2. What is f(x(z))?
-169*z**4
Let b(d) be the first derivative of -1/2*d**2 + 0*d - 6. Let n(h) = -2*h. Calculate n(b(r)).
2*r
Let s(g) = 11*g**2. Let n(v) = -2*v**2. Determine n(s(u)).
-242*u**4
Let i(z) = 3*z. Let u(g) = 2*g - 213. Calculate u(i(b)).
6*b - 213
Let i(u) = 11*u + 10*u - 29*u + 9*u. Let t(x) = 49*x. Give i(t(b)).
49*b
Let l(s) = -9*s**2 + 15. Let i(p) = -p. Give i(l(k)).
9*k**2 - 15
Let m(i) be the first derivative of -5*i**3 - 4. Let t(r) = -r**2. What is t(m(f))?
-225*f**4
Let h(c) = -c. Let y(l) = 857*l. What is y(h(w))?
-857*w
Let h(j) = -3*j - 1 + 1 - 3*j. Let u(z) = -2*z**2. Give u(h(f)).
-72*f**2
Let j(n) = -n + 16. Suppose v = -v. Let g be j(v). Let m(w) = -g + w + 16. Let t(r) = r. Determine m(t(i)).
i
Let q(i) = i**2. Let w(g) = -398*g. Determine w(q(f)).
-398*f**2
Let l(b) = -482 + 482 - b. Let x(r) = 21*r**2 + r. What is l(x(u))?
-21*u**2 - u
Let g(s) be the first derivative of s**4/12 - 5*s - 2. Let o(w) be the first derivative of g(w). Let u(q) = 5*q**2. Determine o(u(p)).
25*p**4
Let l(q) = -4*q**2 + 10*q. Let i(s) = 5*s**2. Give l(i(j)).
-100*j**4 + 50*j**2
Let h(i) = 2*i**2. Let u(y) be the third derivative of 8*y**2 + 0*y + 0*y**3 + 0 - 1/8*y**4. Give u(h(s)).
-6*s**2
Let h(i) = 2*i**2. Let k(z) = -2*z + 5419. What is k(h(p))?
-4*p**2 + 5419
Let w(n) = 7*n**2 - 3*n. Let i(c) = -8*c**2 + 4*c. Suppose q + 3 = 2*q. Let h(p) = q*i(p) + 4*w(p). Let x(y) = -3*y - 3*y + 4*y. What is h(x(t))?
16*t**2
Let q(a) = -12*a**2. Let r(d) = 15*d. What is r(q(o))?
-180*o**2
Let o(v) be the first derivative of v**2/2 - 13. Let t(a) = 69*a**2. Determine o(t(w)).
69*w**2
Let s(x) = 2*x + x + 5 + x. Let h(c) = -2*c - 2. Let g(i) = 5*h(i) + 2*s(i). Let q(n) be the second derivative of -2*n**3/3 + 2*n. Give g(q(z)).
8*z
Let d(k) = -3*k**2. Let b(n) = -2*n - 9. Let f be b(-6). Let w(g) = -g**2 - 3*g. Let j(s) = -s**2 - 4*s. Let t(y) = f*j(y) - 4*w(y). What is t(d(z))?
9*z**4
Let w(k) = 4*k. Let t(b) = -235*b**2. Give t(w(g)).
-3760*g**2
Let k(j) = 5*j**2. Let c(g) = g + 1. Determine c(k(y)).
5*y**2 + 1
Let q(i) = -12*i**2. Let d(p) = -57*p. Give q(d(y)).
-38988*y**2
Let p(m) = -m**2 - m. Let a(x) = x**2 + 50*x. Let l(o) = a(o) + 2*p(o). Let b(u) = 3*u. What is l(b(g))?
-9*g**2 + 144*g
Let y(g) = 2*g**2. Let m(f) = -f - 11594. Determine y(m(r)).
2*r**2 + 46376*r + 268841672
Let h(x) = -x. Let l(v) = 8*v. Let c be (-2 - -2) + 1 + 1. Let w(i) = c*h(i) + l(i). Let d(r) be the third derivative of r**5/30 - 2*r**2. What is d(w(y))?
72*y**2
Let n(w) = 3*w. Let m(d) = -196*d**2. Calculate n(m(f)).
-588*f**2
Suppose 4*r - 1 = p - 16, -4*p + 22 = 3*r. Let j(w) = -7 - p*w + 0 + 2. Let l(u) = u + 1. Let t(v) = j(v) + 5*l(v). Let z(y) = -2*y. What is t(z(d))?
4*d
Let g(f) = -6*f. Let d(c) = -7*c. Let v(r) = 5*d(r) - 6*g(r). Let u(p) be the third derivative of -p**4/8 - 15*p**2. Determine u(v(n)).
-3*n
Let u(i) = i. Let y(o) be the first derivative of o**5/12 - 2*o**2 - 5. Let d(c) be the second derivative of y(c). Give d(u(f)).
5*f**2
Let m(r) = 2*r**2. Let g(s) be the first derivative of 9*s**2/2 + 4*s - 4. Let z(a) = a + 1. Let w(i) = -g(i) + 4*z(i). What is m(w(k))?
50*k**2
Let t(u) = 2*u**2. Let d(x) be the first derivative of 5*x**2 + 3. What is t(d(o))?
200*o**2
Let s(i) = -4*i**2. Let z(t) = 153*t. Determine s(z(j)).
-93636*j**2
Let c(q) = 3*q. Let s(a) = 33*a + 2. Determine s(c(o)).
99*o + 2
Let f(r) = r + 1. Let v = -1 - 5. Let d(q) = -9*q - 6. Let g(z) = v*f(z) - d(z). Let c(i) be the third derivative of i**5/60 - i**2. Determine g(c(a)).
3*a**2
Let w(u) = 5*u**2. Let y be (2/7)/(1/7). Let p(q) = q**2 + 0*q**2 + 2*q**y - q**2. Give p(w(z)).
50*z**4
Let q(h) = h**2 + 2*h**2 - h**2. Let y(k) be the third derivative of k**5/20 - 6*k**2. Determine q(y(u)).
18*u**4
Let i(u) = 9*u**2. Let h(q) be the third derivative of q**4/6 + 31*q**2. Determine h(i(m)).
36*m**2
Let j(m) = 98*m - 195*m + 100*m + 1. Let p(v) = -2*v**2. Give j(p(y)).
-6*y**2 + 1
Let l = -5 - -4. Let x = 0 - l. Let a(f) = -3 + 2 + f + x. Let c(m) = 2*m**2. What is c(a(w))?
2*w**2
Let i(l) be the third derivative of -l**6/360 - l**4/24 - 5*l**2. Let v(s) be the second derivative of i(s). Let c(x) = -2*x**2. Give v(c(b)).
4*b**2
Let b(y) be the second derivative of -y**3/3 - 8*y. Let z(w) = 3*w**2. What is b(z(x))?
-6*x**2
Let x(c) = -2*c**2. Suppose 0 = -5*n + 11 + 4. Let a(f) = 3*f - 4*f + n*f - 4*f. Determine a(x(z)).
4*z**2
Let z(w) = -3*w + 3. Let p be (-2)/(5/(45/(-6))). Let y(a) = -1. Let v(s) = p*y(s) + z(s). Let r(x) = -2*x. Determine v(r(g)).
6*g
Let l(c) be the second derivative of -c**3/6 + c. Let s(i) be the second derivative of -i**3/6 + 30*i. Give l(s(q)).
q
Let q(j) = -j - 2*j - j. Suppose 2*n + 2*n = -20. Let p(s) = -s**2 + 5*s + 5. Let z(x) = x**2 - 6*x - 6. Let h(b) = n*z(b) - 6*p(b). Determine q(h(l)).
-4*l**2
Let q(l) = 2*l**2. Let i(n) = 38*n. Calculate i(q(k)).
76*k**2
Let u(x) be the third derivative of -x**5/60 + 3*x**2. Let b(d) = 6*d**2 + 13. Let g(n) = -3*n**2 - 6. Let j(i) = -6*b(i) - 13*g(i). Calculate j(u(k)).
3*k**4
Let o(j) be the third derivative of j**4/24 + j**3/6 - 9*j**2. Let r(i) = i. What is o(r(d))?
d + 1
Let q(t) = 9*t + 2*t - 9*t. Let g be ((-6)/5)/(9/(-30)). Let l(s) = g - 4 + s. What is l(q(o))?
2*o
Let f(t) be the third derivative of t**5/30 + 8*t**2. Let m(o) = -6*o. Determine m(f(d)).
-12*d**2
Let a(v) = 6*v. Let r(w) = -3*w + 5*w + 3*w. Let o(k) = 6*a(k) - 7*r(k). Let s(u)
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate the remainder when 2 is divided by n.
0
Calculate the remainder when (-2)/4*-38 - 0 is divided by 7.
5
Suppose -5*c - 3*a - 10 = -8*a, 2*c - 5*a + 10 = 0. Suppose -3*v - 6 = -c*v. Calculate the remainder when 17 is divided by (-9)/2*(v + 0).
8
Let i(f) = f**3 + 4*f**2 - 3*f - 5. Suppose -k = 5*b + 3, k - 4*b = -3*k + 60. What is the remainder when k is divided by i(-4)?
5
Suppose -5*r - 4*d = -51, -6*d + 27 = r - d. Suppose 3*c = 4*t - 27, t = -2*t + 3*c + 24. What is the remainder when r is divided by t?
1
Let n(t) = 17*t**3 + t. What is the remainder when 88 is divided by n(1)?
16
Let h(r) = r**3 + 7*r**2 - 2*r + 6. Let f be h(-6). Let v = -30 + f. What is the remainder when 46/(4/(4 - 0)) is divided by v?
22
Calculate the remainder when 6 - ((-16)/(-4) - 1) is divided by 2.
1
What is the remainder when (-606)/(-10) - 18/(-45) is divided by 16?
13
Let m(j) = -j**2 + 6*j + 2. What is the remainder when 17 is divided by m(5)?
3
Let r = 69 - 39. Calculate the remainder when 88 is divided by r.
28
Let t(j) = j**3 - 2*j**2 - 2*j + 1. Let v be t(3). Let i(m) = 8. Let w(s) = s + 1. Let p(h) = -i(h) + 5*w(h). What is the remainder when p(v) is divided by 9?
8
Let z = 9 - -20. Calculate the remainder when z is divided by 11.
7
Suppose 3 = -2*p + 9. Suppose -p*q + 17 = 2*m, -42 = -3*q + m + 2*m. What is the remainder when 24 is divided by q?
6
Suppose 2*k + 42 = f + 5*k, 5*f - 3*k - 282 = 0. Let b(u) = 4*u - 2. Calculate the remainder when f is divided by b(4).
12
Let a(z) = z**2 - 3*z + 2. What is the remainder when a(10) is divided by 25?
22
Let u(i) = -i**3 + 5*i**2 + 8*i - 6. Let w be u(5). Suppose w = -4*c + 190. What is the remainder when c is divided by 10?
9
Suppose -4*r + 5 = 3*m + 19, 0 = 3*r + 15. Let x = -2 + 7. Calculate the remainder when x is divided by m.
1
What is the remainder when 172 is divided by 10/25 + 52/20*11?
27
Let j(k) = -k + 3. Let u be j(7). Let d(b) = -b**3 - 3*b**2 + 4*b + 6. What is the remainder when -3*2/(-12)*34 is divided by d(u)?
5
Let h(x) = x. Let t be h(4). Suppose -g = -t*g + 18. Calculate the remainder when -2 - (1 - -2)*-4 is divided by g.
4
Suppose 21 = -s + 4*s. Let c = -11 - -30. Calculate the remainder when c is divided by s.
5
Let n = 53 - 23. What is the remainder when n is divided by 0 - -13 - (-30)/10?
14
Suppose 4*g - 9 = 3. Suppose g*a + 10 = 8*a. Let p = 13 + a. What is the remainder when 44 is divided by p?
14
Suppose u - 5 + 1 = 0. Suppose -30 = -u*a + 150. Suppose -x + a = 4*x. Calculate the remainder when 17 is divided by x.
8
Suppose -2*t + 16 = 5*c, -7*c = -3*c - 16. Let s(f) = -f**3 + 7*f**2 + 3*f + 1. What is the remainder when s(7) is divided by ((-16)/(-12))/(t/(-18))?
10
Suppose 5 = n - 5. What is the remainder when 17 is divided by n?
7
Let g be ((-12)/(-9))/(2/9). Suppose 0 = -x - x + g. Suppose 0 = -y - 0*y + 1. Calculate the remainder when x is divided by y.
0
Let d = -8 + 27. Calculate the remainder when 72 is divided by d.
15
Suppose m + 4*i + 17 = 0, 6*m - 7 = 2*m - i. Suppose -j + 0*j + 179 = m*f, 295 = 5*f + j. Let q = -52 + 67. What is the remainder when f is divided by q?
13
Suppose -8*g + 8 = -4*g. Let t(u) = 2 - g*u + 0*u + 4*u. What is the remainder when t(7) is divided by 6?
4
Let z = 256 - 89. Calculate the remainder when z is divided by 10.
7
Let d(y) = -y - 10. Let z be d(-7). Let k be z*(2 + 0)/(-2). Suppose 0*n = k*n - 18. Calculate the remainder when 10 is divided by n.
4
Let y(i) = 0*i**3 - 2*i + i**3 - 6 - 3*i**2 + 6*i**2 + 6*i**2. Calculate the remainder when ((-23)/((-1)/1))/1 is divided by y(-9).
11
Suppose -i + 43 = 2*f, -5*i - 4*f = 120 - 347. Calculate the remainder when i is divided by 16.
15
Let r = -12 - -11. Let h(d) = 13*d**2 + 2*d + 1. Calculate the remainder when 46 is divided by h(r).
10
Let c = 62 + -30. Suppose -4*m = h - 64, -3*m - m + 4*h = -84. What is the remainder when c is divided by m?
15
Suppose -2*o + 48 = -22. Suppose 0 = -2*b - 10 + 74. Let p = -20 + b. What is the remainder when o is divided by p?
11
Let m(v) = v**2 + v - 7. Let a be m(-5). Suppose 3*y = 4*k - 29, 4 = -3*k - 2*y + a. What is the remainder when 9 is divided by k?
4
Suppose -3*b + 2*c + 3*c = -18, -2*b + 28 = 2*c. Calculate the remainder when b is divided by 6.
5
Let u = 169 + -108. Calculate the remainder when u is divided by 19.
4
Suppose c - 11 = -2*s + 4*c, 5*s - 59 = -3*c. Calculate the remainder when 37 is divided by (5 + -2 + s)*1.
11
Let h(f) = f - 1. Let y be h(-7). What is the remainder when 46 is divided by 18/y*(-16)/3?
10
What is the remainder when 38 is divided by 3 - (-17 - 0/2)?
18
Calculate the remainder when 278 is divided by 72/(-54) - (-344)/6.
54
Suppose -2*f = -7*f + 25. Suppose 0 = -a + f*a + 36. What is the remainder when 47 is divided by 2*6*(-12)/a?
15
Suppose 4*z + 2*x = z + 516, -3*x = -2*z + 344. Calculate the remainder when z/(-6)*(-6)/4 is divided by 15.
13
Calculate the remainder when (-462)/(-10) - (-40)/50 is divided by 12.
11
Let t = -1 - -1. Suppose -5*a + 3*u + 56 = t, 0*a + 2*a - u = 22. What is the remainder when 19 is divided by a?
9
Let l(r) = 3*r - 6. Let d be l(4). Suppose 0 = d*a - 2*a + 4. Let k(s) = -14*s - 1. Calculate the remainder when 25 is divided by k(a).
12
Let c(v) = -5*v**3 - v**2 - v - 6. Let p(d) = d**3. Let s(r) = -c(r) - 4*p(r). Suppose -3*m = -5*m. What is the remainder when 10 is divided by s(m)?
4
Suppose 5*x - 2*w - 78 = 0, 3*w - 2 = -2*x + 14. Calculate the remainder when 55 is divided by x.
13
Let m = 19 - 13. Suppose -3*z + 0*z + m = 0. Suppose z + 14 = 4*o. What is the remainder when 10 is divided by o?
2
Let y(b) = b + 3. Let u(l) = -3*l - 8. Let z(i) = -3*u(i) - 8*y(i). Let f be z(6). Let q = f + 17. What is the remainder when q is divided by 12?
11
Let m = 19 + 37. Suppose 2*f = -2*f + w + m, -2*w + 68 = 4*f. What is the remainder when 27 is divided by f?
12
Let j(n) = n. Let k(w) = -w**2 + 8*w - 2. Let q(y) = 4*j(y) - k(y). What is the remainder when 12 is divided by q(5)?
5
Calculate the remainder when 16 is divided by 2*(4/20 - 43/(-10)).
7
Let w(a) = -a**3 + 30*a**2 + 3*a - 58. What is the remainder when w(30) is divided by 10?
2
Suppose p - 3*p + 56 = 0. Suppose -75 = q - 6*q. Calculate the remainder when p is divided by q.
13
Suppose 2*r + 4*n - 37 = 41, 5*n = -5*r + 170. Calculate the remainder when r is divided by 10.
9
Let f = -38 + 55. Let c = 45 - f. What is the remainder when c is divided by 10?
8
Let w(p) = -p**3 + 8*p**2 - 8*p + 8. Let d be (-38)/(-6) - 1/3. Let x = 0 + 11. Calculate the remainder when w(d) is divided by x.
10
Let d = 1 + 1. Suppose -v = -13 + d. Calculate the remainder when 30 is divided by v.
8
Suppose -6*g + 16 = -26. Calculate the remainder when 9*3 + 0/1 is divided by g.
6
Suppose 9*p - p - 104 = 0. What is the remainder when p is divided by 4?
1
Let b = -3 + -4. Let m = 14 + b. Calculate the remainder when 20 is divided by m.
6
Let x be 0 + -2 + 5 + 1. Let i = 7 + -4. Suppose 5*p - 10 = -9*o + 4*o, 0 = i*p + x*o - 2. Calculate the remainder when p is divided by 4.
2
Let n(r) = r**3 - 7*r**2 + 7*r + 6. Calculate the remainder when 70 is divided by n(6).
10
Suppose -73 = -4*j + 3. What is the remainder when 52 is divided by j?
14
Let r = -117 - -31. Let l = -52 - r. Calculate the remainder when l is divided by 12.
10
Let r = 10 + -15. Let s(b) = b**2 + 5*b - 3. Let a be s(r). Calculate the remainder when 1/a + (-122)/(-6) is divided by 11.
9
Let r(w) = -w + 13. Let u be (-3)/(-6) - 2/4. Calculate the remainder when 23 is divided by r(u).
10
Let i(k) = k - 4. Let o be i(-9). Let j = o + 23. What is the remainder when 19 is divided by j?
9
Let t(b) be the second derivative of -b**3 + b - 5/2*b**2 + 0. What is the remainder when t(-6) is divided by 11?
9
Let v(y) = 4*y + 2. Calculate the remainder when v(3) is divided by 6.
2
Let h(i) = 4*i**3 - i**2 - 2*i + 3. Let x(j) = j**3 + 1. Let k(n) = -h(n) + 3*x(n). Let z be k(-2). What is the remainder when 58 is divided by 156/z - (-1)/2?
18
Calculate the remainder when -9 - -113 - (1 - 4) is divided by 27.
26
What is the remainder when 12 is divided by (1/(-2))/((-1)/10)?
2
Suppose -3*w + 18 = 2*n, -3*n - 2*n + 4*w + 68 = 0. What is the remainder when 32 is divided by n?
8
Suppose 2*f = 5*f - 36. Calculate the re
|
{
"pile_set_name": "DM Mathematics"
}
|
factor of h?
False
Let u(a) = a - 15 - 6*a + 3*a - 6. Suppose 5*w + 13*w = -252. Is 3 a factor of u(w)?
False
Let i(y) = y - 1. Let q be i(2). Does 23 divide 0 + q - 588/(-7)?
False
Is (-1 + 10)/((-3)/(-186)) a multiple of 10?
False
Let h(m) = -6*m**3 + m**2 - 2*m + 8. Does 37 divide h(-3)?
True
Let l = -6 - -16. Suppose l = 3*p - p. Suppose 4*r - 58 = p*u + 70, -64 = -2*r + 5*u. Is 11 a factor of r?
False
Let p(w) = -82*w - 223. Is 99 a factor of p(-16)?
True
Suppose 0 = -14*j + 47 - 229. Let g(n) = n**3 + 13*n**2 - 2*n - 4. Does 22 divide g(j)?
True
Let u be (-10439)/117 + (-4)/(-18). Let s = u + 141. Is 5 a factor of s?
False
Let d(l) = l**3 - 15*l**2 - 37*l + 31. Does 13 divide d(19)?
False
Suppose 7*c + 303 = 10*c. Suppose -8*y + 653 - c = 0. Is 8 a factor of y?
False
Suppose 2*v = d - 4*d + 74, -2*v + 74 = -5*d. Let m = v - 21. Is m a multiple of 16?
True
Suppose -5*m - 85 + 2090 = k, -5*k = 25. Is m a multiple of 6?
True
Suppose 106*m - 99*m - 17199 = 0. Does 21 divide m?
True
Suppose 27*q + 4284 = 44*q. Does 12 divide q?
True
Let q = -12 - -17. Suppose -69 = -4*m + y, 0*m + 22 = m - q*y. Is m a multiple of 13?
False
Let q = 1428 + -948. Is q a multiple of 32?
True
Let i(u) = 785*u - 4. Is i(1) a multiple of 14?
False
Suppose -2*q + 9 = 5. Does 6 divide 94*q/16*4?
False
Let x = 1996 + 568. Does 20 divide x?
False
Is (-824)/(-2) + (-22)/(99/(-9)) a multiple of 34?
False
Let x(m) = 32*m + 174. Is x(11) a multiple of 22?
False
Suppose 3*p - 23 = 91. Suppose p = 5*z - 412. Does 15 divide z?
True
Let p(a) = -a**2 - 52*a + 64. Is 52 a factor of p(-44)?
True
Suppose -2*c = 3*m - 11, -c - c = m - 17. Suppose -32 = -0*h - 4*h. Let x = h + c. Does 4 divide x?
False
Let v = -787 + 1755. Is v a multiple of 22?
True
Is 6 a factor of 21/(-28) - 963/(-4)?
True
Let p(v) = -10*v - 34. Let t be p(-5). Let u(f) = f**3 + f + 8. Let j be u(0). Is (-2)/j - (-148)/t a multiple of 2?
False
Let o = 11 + 7. Let c be 4/(-18) + 4/o. Suppose 0 = 5*n + 5*m - 220, 186 = 4*n - c*n - m. Is 8 a factor of n?
False
Let o = -129 - -140. Let n(v) = -v**3 + 12*v**2 + 13*v + 8. Is 17 a factor of n(o)?
True
Suppose 4641*a + 1386 = 4647*a. Is 11 a factor of a?
True
Does 16 divide 2*364 + 10 + -13?
False
Let d = -2 + -6. Let b(l) = 2*l**2 + 12*l + 4. Is b(d) a multiple of 9?
True
Suppose 0 = -26*q + 3*q + 10534. Is q a multiple of 13?
False
Is 78 a factor of (-234)/(-4)*(-1)/(3/(-48))?
True
Let y = 21 + -17. Let t = -2 + y. Suppose t = 2*r - 4. Is 2 a factor of r?
False
Suppose -1946 = -3*j - r, 4*j - 3*r - 1049 - 1563 = 0. Is j a multiple of 15?
False
Let a = -2 - -3. Let y(d) = -2*d + 13. Let r be y(12). Let j = a - r. Does 6 divide j?
True
Let t(x) = 2*x - 4. Let l be t(4). Let a be (6 - 1)*(-36)/(-10). Suppose k + a = 2*n, -l*k + 45 = 3*n + 2*n. Does 9 divide n?
True
Let v(q) = 15*q**2 + 7*q + 8. Let b be v(-2). Let h = b - -2. Is h a multiple of 15?
False
Let d = 18 - 16. Let g be (0/(-1))/(4 - d). Suppose g = -3*c - 8 + 47. Is 7 a factor of c?
False
Let i(v) = -v**3 - 29*v**2 - 22*v + 21. Is i(-31) a multiple of 6?
False
Let p(g) = g**2 + 7*g + 10. Let v be p(-10). Suppose -5*y + 68 = 4*z, 0 = 2*z - y + 2*y - v. Is 3 a factor of z?
False
Suppose 3*a = a. Suppose a = -t + 2*t - 9. Suppose i + t = 2*i. Does 3 divide i?
True
Does 3 divide (-13 - -10) + (11 - 0)?
False
Let q(i) = -18*i**2 + 4*i. Let z be q(4). Let f = z + 385. Does 17 divide f?
False
Suppose 3*i - 13 = -1. Suppose 0 = -3*t + 6*t - 4*u - 9, 4*t + 3*u - 12 = 0. Suppose t*x + 5*c - 285 = -2*x, x = i*c + 42. Is 20 a factor of x?
False
Suppose -25*l - 15*l = -11320. Is 8 a factor of l?
False
Let s = 31 - 21. Suppose -s*v + 7*v + 120 = 0. Does 15 divide v?
False
Is 14 a factor of (1/2)/(-12 - 317527/(-26460))?
True
Let g(s) = -169*s + 13. Does 10 divide g(-16)?
False
Let w = -138 + 473. Is w a multiple of 39?
False
Let j = 22 - 10. Is (153/j)/(6/16) a multiple of 13?
False
Suppose -5*w = 4*r + 51, 16 = -0*r - 4*r. Let m = 9 + w. Suppose -2*p - 2*o + 98 = -0*o, 0 = -m*p + 3*o + 78. Does 15 divide p?
True
Let i(v) = 2*v + 20. Let x be i(-10). Is 15 a factor of -1 - x - (-4 + -42)?
True
Let b = 1128 + -733. Does 6 divide b?
False
Let b(g) = 41*g**2 - 6*g. Does 24 divide b(6)?
True
Let c = 132 - 108. Let k = c + 236. Is 26 a factor of k?
True
Let t(b) be the first derivative of -15*b**2 - b - 5. Is 4 a factor of t(-1)?
False
Suppose -q - q = -12. Let j be 12/(-9)*q/4. Is 46*((-15)/j)/5 a multiple of 32?
False
Suppose 7 + 14 = 7*z. Is 16 a factor of 98/z + (-14)/21?
True
Let x(u) = 2*u**3 - 19*u**2 - 16*u + 11. Let g(c) = 3*c**3 - 37*c**2 - 33*c + 23. Let j(f) = -3*g(f) + 5*x(f). Does 24 divide j(-14)?
False
Let d be 8 - (0/(-3) + -1). Suppose -d = -2*s + 1. Let q(k) = k + 10. Is 15 a factor of q(s)?
True
Let h = 52 - 16. Let m = h + 0. Is m a multiple of 17?
False
Let j(q) = -q**2 + 10*q - 12. Suppose 9*r - 40 = 4*r. Let l be j(r). Suppose -l*d + 58 - 14 = 0. Is d a multiple of 11?
True
Suppose -18*g + 7*g = 22. Let v = -12 + 8. Does 18 divide ((-70)/v)/((-1)/g)?
False
Suppose 0 = -g - 53*f + 54*f + 905, g - 925 = 5*f. Is 50 a factor of g?
True
Let l be 0/(2 - (-4 + 4)). Suppose 6 = 3*x, 2*t - x - 338 + 130 = l. Does 35 divide t?
True
Let g = 581 + -81. Is 50 a factor of g?
True
Is (2/(-3))/((-4)/714) a multiple of 17?
True
Suppose -2*v + 1080 + 408 = 2*h, 5*h = 2*v + 3734. Is h a multiple of 12?
False
Suppose 0 = 3*g + 5*t - 179, 0*g + t + 65 = g. Let y be g/12 - (-3)/(-12). Let f = 38 - y. Does 16 divide f?
False
Suppose 5*v + 128 = 6*v. Suppose 2*t = -22 + v. Is 34 a factor of t?
False
Let u(m) = -2*m - 7. Let k be u(-6). Suppose -4*r + 151 = k*q, 74 = 5*q - 2*r - 53. Suppose 121 = 4*p - q. Is p a multiple of 12?
False
Suppose -3*g + p = 6*p + 38, 2 = -g + p. Let x be g/4*(5 - 1). Is 17 a factor of 34/(x/(-4) - 1)?
True
Suppose 3*w + 2188 = 2*c, c - 2*w = 662 + 430. Is 20 a factor of c?
True
Suppose -c = 3*c + 3*f - 3336, 3*f = -5*c + 4170. Is 16 a factor of c?
False
Suppose a + 0*a = 5. Suppose 6*l = a*l + 7. Let v = l + 57. Is 17 a factor of v?
False
Let m(q) = -1 - 23*q**3 + q - 8*q + 7*q. Let k = -3 + 2. Is 12 a factor of m(k)?
False
Let i(w) = w**2 - 2*w - 3. Let r be i(7). Suppose 5*t = -2*k + 53, -k = 4*t - t - r. Let c = 100 - t. Does 33 divide c?
False
Let x(t) = -1 - 6*t + t**3 + 1 + 4*t**2 + 4*t - 4. Let l be x(-4). Suppose m = -m + 3*u + 41, l*u + 12 = 0. Is m a multiple of 16?
True
Suppose -11*c + 6 = -13*c. Let m be (-1)/((-28)/8 - c). Suppose q = 3*o - 99, 0 = o - q - 37 + m. Is 16 a factor of o?
True
Is 5 a factor of (-576)/(-2) - 18/(-42)*-7?
True
Let s = -166 - -220. Let x = s + -6. Does 6 divide x?
True
Suppose -6*h = 3*h - 36. Suppose -3*t = -5*b + 71, -4*b + 2*t + 70 = h*t. Is 2 a factor of b?
True
Let p = -4813 - -7709. Is p a multiple of 21?
False
Let t be (100/(-3))/(18/108). Let n = -103 - t. Is n a multiple of 11?
False
Let k be -2 + (-3)/((-15)/10). Let u(c) = c**3 - 2*c**2 + c + 38. Is u(k) a multiple of 10?
False
Suppose 2*p = 40 + 60. Suppose 0 = 4*q - 12, -p = -4*n + 2*q - 8. Is n a multiple of 3?
True
Suppose 3*t + 1 = -2. Let w(p) be the second derivative of 8*p**4 - p**2/2 - 76*p. Does 26 divide w(t)?
False
Suppose -2*d + 0*d = 28. Let n = 17 + d. Suppose f - 11 = w, 3*w = n*f + 7*w + 2. Is f a multiple of 6?
True
Let n(z) = -20*z + 12. Let g(w) = 21*w - 11. Let l(r) = -6*g(r) - 5*n(r). Is 13 a factor of l(-3)?
False
Let m = 403 - -2420. Is m a multiple of 11?
False
Let b be 124*((-5)/(-10) - (2 - 1)). Let u = 150 + b. Does 8 divide u?
True
Suppose 3*f + 2730 = 6*f. Is f a multiple of 13?
True
Let d(c) = 2*c**2 - 30*c + 104. Is d(16) a multiple of 17?
True
Let s(r) = -r + 143. Is 14 a factor of s(12)?
False
Let o(s) = -3*s - 2. Let g be o(-2). Suppose 2*f - h = 68, -g*h + h + 170 = 5*f. Let z = 70 - f. Is z a multiple of 12?
True
Suppose -2*l + 75*n + 2853 = 78*n, 5*n - 2859 = -2*l. Is 9 a factor of l?
True
Suppose 0 = -0*w + 4*w + 120. Does 5 divide w*(3/(-3) - (-3)/6)?
True
Let r be ((-4)/(-8))/((-1)/(-2)) - -2. Does 26 divide 415/4 - r*6/(-72)?
True
Let i(q) = -q**2 - 2*q + 3. Let v be i(-3). Let u be (21/2)/(-3)*(-372)/651. Suppose 142 = -v*c + u*c. Is c a multiple of 15?
False
Suppose 2*y - k - 134 = -0*k, 0 = -3*k - 6. Is 33 a factor of y?
True
Let d(p) = -p**2 + 11*p + 20
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -p*x - 46000 = -3*x. What is x rounded to the nearest 10000?
-50000
Let a be (-5)/((-5)/(-2)) - (-8 - -1). Suppose 130792604 - 10792604 = a*g. What is g rounded to the nearest 1000000?
24000000
Let a = -32 - -15. Let j = 18 + a. Let w(r) = -139001*r**2 + 2*r - 1. Let k be w(j). What is k rounded to the nearest 10000?
-140000
Let r = 7802848 + 1697152. Round r to the nearest one million.
10000000
Let l = -0.4 - -1.16. Let o = l - 0.42. Let d = -0.34038 + o. Round d to 4 decimal places.
-0.0004
Let p = 41 - 41. Let c be 1 - 2 - (-2 + 1). Suppose p = 3*o - c*o, -2*o = 3*r - 20700000. Round r to the nearest 1000000.
7000000
Let i = 122.7 + -119. Let d = -27546.6942 + 27543. Let o = i + d. What is o rounded to three dps?
0.006
Let p(x) = x**3 + x + 2. Let j be p(-1). Suppose 16 = -4*q, 5*z - z + 2*q + 5360008 = j. What is z rounded to the nearest 100000?
-1300000
Let s = -49.5 - -49.4999743. What is s rounded to 5 decimal places?
-0.00003
Let m = 1 - -328. Let d = 329.00167014486 - 0.00167263486. Let p = m - d. What is p rounded to 7 decimal places?
0.0000025
Let t = 160 + -79. Let q = t - 80.9999967. Round q to six decimal places.
0.000003
Let i = 39947 - 21565. Suppose -b - i = 3*t + 40615, 2*b = 2*t - 118002. Round b to the nearest 10000.
-60000
Let d(r) = -65*r**2 - 27*r - 250. Let k be d(50). Round k to the nearest 10000.
-160000
Suppose -32*h + 36*h + 380400 = 0. What is h rounded to the nearest ten thousand?
-100000
Suppose 0 = -b + 2*r - 0*r - 104497, 4*r - 104503 = b. Let f = b - 5509. What is f rounded to the nearest one hundred thousand?
-100000
Suppose -7839 = 3*n + 18828. What is n rounded to the nearest one thousand?
-9000
Let b = 41.0000117 - 41. What is b rounded to five dps?
0.00001
Let x(n) = -3332498*n**2 + 4*n. Let c be x(-2). Round c to the nearest one hundred thousand.
-13300000
Suppose 0*z + 2*z - 410 = 0. Let l = z + 17. Suppose 0 = 2*t + m - 9 - 141, 3*t + 3*m - l = 0. Round t to the nearest 10.
80
Let d = -807874 - -1490577. Let u(o) = 7892*o**2 - 2*o + 7. Let s be u(5). Suppose 4*t - d = s. What is t rounded to the nearest one hundred thousand?
200000
Suppose 6*j + 101 = 4*v + j, 0 = -5*v + j + 121. Let a = v + -21. Suppose 5*u + 3*z + 15 = 87, a*z + 12 = 2*u. What is u rounded to the nearest integer?
12
Let j = 15.95 - 16. Let c = j - -1.75. Let f = -1.69996 + c. What is f rounded to 5 decimal places?
0.00004
Suppose 3*j + 3*t = 15, t = 2*j + 4*t - 15. Suppose -p - 358 - 384 = j. Let v be ((-72000)/84)/((-4)/p). Round v to the nearest 10000.
-160000
Let q = -5 + -3. Let v(z) = 4*z**2 + 2*z - 11. Let b be v(q). What is b rounded to the nearest 10?
230
Suppose 29*a - 11 = 30*a. Let s = 15 + a. Suppose -2*m + s*k - 30000020 = 0, 2*k - 31243966 = 3*m + 13756044. What is m rounded to the nearest 1000000?
-15000000
Let m = 0.64948155 + -24.64947435. Let o = m - -24. Round o to 6 decimal places.
0.000007
Let x = 559255548.00000001 - 559255581. Let h = 33 + x. Round h to seven decimal places.
0
Let k = -18 + 11. Let p(t) be the third derivative of -t**6/120 - 7*t**5/60 + t**4/24 + 7*t**3/6 + 10*t**2. Let f be p(k). What is f rounded to 2 dps?
0
Let t = 18 - 29. Let a = -10.999916 - t. What is a rounded to five decimal places?
0.00008
Let d(j) = 29*j**2 + 45*j + 66. Let l be d(-24). What is l rounded to the nearest ten thousand?
20000
Let o = -8.7399527 + 8.74. What is o rounded to five decimal places?
0.00005
Let k = -35 - -60. Let c = 11 - k. Let z = 13.999975 + c. Round z to five decimal places.
-0.00003
Let p = 384 - 383.99998456. Round p to six dps.
0.000015
Let g = -13 - -62. Let t = 48.99999962 - g. What is t rounded to seven decimal places?
-0.0000004
Let l = 0.325 - -0.006. Round l to two decimal places.
0.33
Let p = -48 - -3. Let h = 40.4 + p. Let z = 7.7 + h. What is z rounded to the nearest integer?
3
Let f(l) = 531*l + 11. Let c(q) = -1593*q - 32. Let h(v) = -4*c(v) - 11*f(v). Let n be (-15)/12 - (-17)/4. Let s be h(n). Round s to the nearest one thousand.
2000
Let b = 13.72 - 16.5. What is b rounded to one decimal place?
-2.8
Let u be (29692/(-16))/(((-52)/16)/13). Round u to the nearest 1000.
7000
Let p = -200 + -22.8. What is p rounded to the nearest 10?
-220
Let r = 20.29 + -6.22. Let d = r + -14. Let y = d - 0.114. Round y to two decimal places.
-0.04
Let b = -41529.7017 + 41526. Let z = b - -3.7. Round z to 3 dps.
-0.002
Suppose -3*n - 40 + 15 = 2*h, 4*n + 35 = -h. Let s be -2000*n/(27/(-45750)). Round s to the nearest 1000000.
-31000000
Let z = 346244171 + -346244142.9999937. Let g = 28 - z. Round g to 6 dps.
-0.000006
Let m = 15.4 + -15.3999922. What is m rounded to five dps?
0.00001
Let t(d) = -66543*d. Let h be t(-2). Let a = h + -31779. Let q = -41307 + a. What is q rounded to the nearest ten thousand?
60000
Let m = 65.5113 - -0.1087. What is m rounded to the nearest ten?
70
Let v be 4 - (15 + 0 + -4). Let a be 579 + -2 + (-21)/v. Round a to the nearest one hundred.
600
Suppose 0 = 6*u - 4*u - 8. Suppose 4*p - 4*n = 12, 0 = -n - n + u. Suppose 4*k - 5*r + 0*r - 8690 = 0, 0 = -p*k + r + 10852. Round k to the nearest 100.
2200
Let b = -23.93 - -24.5. Round b to 1 decimal place.
0.6
Suppose -5*z + 9159449 = -k, 5*k - 9*k - 5*z - 36637796 = 0. Let u = 14259449 + k. What is u rounded to the nearest one million?
5000000
Let s(f) be the second derivative of 5034*f**3 - 2*f**2 + 12*f. Let r be s(1). What is r rounded to the nearest 1000?
30000
Let m = 188.0378 + -188. What is m rounded to three dps?
0.038
Let g = 0.822 - 4.892. Let a = -0.07 - g. Let f = a + -4.64. What is f rounded to 1 dp?
-0.6
Let m(h) = -h**3 + 5*h**2 + 6*h + 3. Let q be m(6). Suppose -b + 3 + q = 0. Suppose 2*x - b*x = -4200000. Round x to the nearest 100000.
1100000
Let q = -34840 - -119321. Let o = 84479.79991 - q. Let g = 1.2 + o. What is g rounded to four decimal places?
-0.0001
Suppose 5*r - 7 = 8. Let q(o) = -2*o - 6 - 65*o**r + 2*o - 2*o**2 + 3*o. Let i be q(6). What is i rounded to the nearest one thousand?
-14000
Let i = 290.43 + -290. Let k = -14.19 + 12.8. Let q = i - k. Round q to one decimal place.
1.8
Let x = 21891 + -11569. Suppose j = -0*p + 3*p + 5167, 0 = 2*j - 2*p - x. Suppose 4*f = j - 518. Round f to the nearest one hundred.
1200
Suppose 0 = -k + 12898 - 4208. Suppose -6*z = k + 6310. Round z to the nearest one thousand.
-3000
Let r = -0.121 - -0.12100248. What is r rounded to seven dps?
0.0000025
Let b = -2 + -0.1. Let l = -110115.89974 + 110118. Let t = b + l. Round t to 4 dps.
0.0003
Let g = 374 + -1911. Let w = g + 1538.314. Let o = w - 1.46. What is o rounded to 2 decimal places?
-0.15
Let j = 3.4 + -6.1. Let d = 3.24 + j. Round d to one decimal place.
0.5
Suppose 2 = -f + 13. Let s be (-5)/(-2)*22/f. Suppose -s*n - 4 = w + 57, -2*w = -3*n + 96. What is w rounded to the nearest 10?
-50
Let o = 49 + -49. Let z be (-9)/((-45)/(-47500)) - (o - 0). Round z to the nearest 1000.
-10000
Let v = 0.1201 - 0.1199056. Round v to 4 decimal places.
0.0002
Let q be 325/((315/310 - 1)/(-2)). What is q rounded to the nearest 10000?
-40000
Suppose 37*g - 67253 = 128847. What is g rounded to the nearest 1000?
5000
Suppose -t + 14733 = r + 2831, 2*r + 11896 = t. What is t rounded to the nearest 1000?
12000
Suppose 7*d = 10*d + 12, -4*j = 5*d + 54080020. Round j to the nearest 100000.
-13500000
Suppose -8344 + 1264 = -12*i. What is i rounded to the nearest one hundred?
600
Let z be (-6)/(-15)*(8 + -3). Suppose f = -z*f - 2400. Round f to the nearest one hundred.
-800
Suppose 2*f - 1651998 = 4*v, v + 2*f + f + 413003 = 0. Round v to the nearest 10000.
-410000
Let d = -14185842.2 + 486160.2. Let w = d - -13699772.00063. Let b = w - 90. What is b rounded to 4 dps?
0.0006
Suppose -5205378 - 9854622 = -3*q. What is q rounded to the nearest one hundred thousand?
5000000
Let m be 12/(-9) + 201/9. Let d = m + -16. Let l(y) = -5119*y**2 - 5*y. Let o be l(d). What is o rounded to the nearest ten thousand?
-130000
Let g = 105 + -119.6. Let o = 14.5586 + g. What is o rounded to 3 dps?
-0.041
Suppose -5*j + 0*j = -40. Let k(b) = b + 5. Let q be k(-7). Let a be q/j - 243/4. Round a to the nearest ten.
-60
Let p(s) = s**2 - 3*s + 5. Let w be p(2). Suppose -250036 = -w*i - 25036. Round i to the nearest 10000.
80000
Let p(r) = 8301*r**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
1.6386. Let a = -33 - k. Let y = a - 0.09145. What is y rounded to three dps?
0.006
Let j be ((-89136362)/21)/((-2)/(-12)). Let b = 4567532 + j. Round b to the nearest 1000000.
-21000000
Let p(z) = 10*z + 10*z**3 + 16 - 19*z - 2*z**2 + 8*z. Let c be p(8). Suppose -9*t = -4*t + c. Round t to the nearest one hundred thousand.
0
Suppose 0 = -15*m + 4173290 + 14536210. What is m rounded to the nearest one hundred thousand?
1200000
Suppose -831*v = -829*v - 788. Suppose -399*g = -v*g - 1010000. Round g to the nearest ten thousand.
200000
Let b = -115154574 - 24668426. What is b rounded to the nearest one million?
-140000000
Let h = 15.9723 - 2.9833. Let i = h - 13. What is i rounded to 2 dps?
-0.01
Let u(z) = 1. Let d(m) = 1025*m**2 + 23*m + 133. Let p(l) = -d(l) - 3*u(l). Let w be p(-32). What is w rounded to the nearest 1000000?
-1000000
Let q = -25.6187 - -2.6235. Let x = -0.11 + 23.11. Let p = x + q. What is p rounded to 3 dps?
0.005
Let c be ((-6)/1 + 5)/1. Let i be ((5 - 7)*c)/(1/(-110)). What is i rounded to the nearest one thousand?
0
Let n = -318 - -137. Let c = 180.84 + n. What is c rounded to one dp?
-0.2
Let h = 122 + -121.7. Let a = -7.3 - h. Let k = -7.6076 - a. Round k to two dps.
-0.01
Let q(f) = -8 - 2*f - 18*f**2 + 15*f**2 - 2*f - 15*f**3. Suppose 5*k - 4 + 14 = -2*c, 0 = 4*k + 4*c - 4. Let p be q(k). Round p to the nearest 100.
900
Let s(j) = 51712*j**3 + 23*j**2 + 205*j + 30. Let h be s(-9). What is h rounded to the nearest 1000000?
-38000000
Let d = 207.5 + -234.99. Let j = d - -19.6. Round j to 1 decimal place.
-7.9
Let p(d) = -8*d**2 - 2*d. Let z be p(-1). Let g(k) = -3*k - 4. Let f be g(z). Suppose -3180 = 12*r - f*r. Round r to the nearest 100.
1600
Let v be 9/(-2) + 81/(-54) + 8. Suppose -v*h + 2*s = -409604, 2*s + 459353 + 155051 = 3*h. Round h to the nearest one hundred thousand.
200000
Let l(b) = 2*b**2 + 18*b. Let v be l(-9). Suppose k - 46999997 = w - 2*k, w + k + 47000001 = v. What is w rounded to the nearest one million?
-47000000
Let k = -515795.48299856 + 515833.483. Let a = 250 + -212. Let y = k - a. Round y to 7 dps.
0.0000014
Let q be (-128)/(-3 + (-142800017)/(-47600000)). What is q rounded to the nearest one million?
-358000000
Let k = -5779.82548 + 5778.7. Let r = -0.0178 - 1.1022. Let u = k - r. What is u rounded to four decimal places?
-0.0055
Let x = 6.23 - 18.21. Let w = x + 11.98483. What is w rounded to four dps?
0.0048
Let a = 1089.69736 - 0.09736. What is a rounded to the nearest 10?
1090
Suppose 1255*d - 7263 = 1258*d. Let k = 1721 - d. What is k rounded to the nearest one thousand?
4000
Let g be 2 - (-382)/18 - 6/27. Let w(m) = -m**3 + 21*m**2 - 44*m + 40. Let l be w(g). What is l rounded to the nearest one hundred?
-2000
Let w = -10334.5 + 10334.499859449. Round w to 6 dps.
-0.000141
Let h = -2110350896 + 2110353235.0002442. Let r = h - 2339. What is r rounded to 5 dps?
0.00024
Let v = 38.95 - 38.859902. Round v to three decimal places.
0.09
Let d be (-24)/(-4) - (2 - 0). Suppose d*r = -22*r - 11466000. Round r to the nearest one hundred thousand.
-400000
Let c = 1147 + -2452. Let x = 900 - c. Let r = x + -975. Round r to the nearest one hundred.
1200
Let k = -824763 - -398949. Let r = k - -425813.623169. Let t = -0.377 - r. Round t to 5 decimal places.
-0.00017
Let b = 185.783 - 186. Let z = 0.243 + b. What is z rounded to two decimal places?
0.03
Let v be 19/45 + 57/(-285) - (-153738002)/(-9). What is v rounded to the nearest 1000000?
-17000000
Let r = 385 - 386.92. Let k = -2.02 - r. Round k to the nearest integer.
0
Let h = 13.91 - 2.51. Let c = h + -28.2. What is c rounded to the nearest 10?
-20
Let a = -1.0091022085 - -1.0091. What is a rounded to 7 dps?
-0.0000022
Let n = 258.6 - 258.55101. Round n to one dp.
0
Let a = -693.9331469446 - 0.0670920554. Let k = a - -694. Round k to four decimal places.
-0.0002
Let r = 0.037693 + -2016.337693. Let a = -2102 - r. What is a rounded to the nearest 10?
-90
Let p = -233969.98905101836 + -0.00839898164. Let y = -233951 - p. Let q = y - 19. What is q rounded to 4 dps?
-0.0026
Let j = 0.93 + -46.93. Let v = -45.327136 + -0.672564. Let b = j - v. What is b rounded to three dps?
0
Let r = -21265 - -21251.343. Let q = r - -13.1. Let p = -0.56 - q. What is p rounded to four decimal places?
-0.003
Let a(v) = 2720001*v - 2. Let k be 11/(-121) - (-23)/11. Let h be a(k). Round h to the nearest one million.
5000000
Let q = -561.49452808 - 202.50546006. Let j = q + 764. Round j to 6 dps.
0.000012
Suppose 3108780 = -4*v + 5*u, 2*v + 1554416 = 15*u - 19*u. What is v rounded to the nearest 10000?
-780000
Let u = -0.663 + 0.73. Let p = -0.049 + u. Let s = 0.018102 - p. What is s rounded to four dps?
0.0001
Let s(a) = 7450000*a**3. Let y be s(1). Suppose 102*x + y = 97*x. What is x rounded to the nearest one million?
-1000000
Let p = 0.1467 + -0.193. Let c = -473.0463 - p. Let i = 472.733 + c. Round i to two dps.
-0.27
Let a = 0.06593977044 + -0.06594. Round a to 7 dps.
-0.0000002
Let q = 37275 - 31747.9. Round q to the nearest one thousand.
6000
Let w = -129327 + 552237. Round w to the nearest one hundred thousand.
400000
Let h = -6.63 - -13.63. Let t = 7.000003158 - h. What is t rounded to 6 decimal places?
0.000003
Let f(i) be the second derivative of i**5/10 + 11*i**4/12 - 25*i**3/6 + 9*i**2 + i. Let o be f(-13). Let d = -3692 - o. Round d to the nearest 1000.
-2000
Let p = 1.5026 + 136.1974. Round p to the nearest one hundred.
100
Let o = 165.613 - -30.297. What is o rounded to the nearest integer?
196
Let s = -33.75 - 0.25. Let p = 4177969.999976 + -4178004. Let r = s - p. Round r to six decimal places.
0.000024
Let c = -94.901 + -0.099. Let n = -92.78 - c. What is n rounded to 1 decimal place?
2.2
Let f(p) = 7*p + 9. Let t(j) = 27*j + 40. Let n(y) = -9*f(y) + 2*t(y). Let l be (-10)/3*(-39)/26. Let s be n(l). Round s to the nearest one hundred.
0
Let y = -3810.995214 - -3811. What is y rounded to 4 decimal places?
0.0048
Let z(w) = -w**2 - 11*w - 10. Let j be z(-1). Suppose j = 5*d - 13220 - 6230. Round d to the nearest 100.
3900
Let a = -0.001156 - -0.064202. What is a rounded to two dps?
0.06
Let w(v) = 6950*v**2 + 3*v + 7. Let a be w(4). Suppose -a = -17*b + 24951. Round b to the nearest one hundred.
8000
Let g = 122.6799995367 - 122.68. Round g to 7 decimal places.
-0.0000005
Suppose 44*d = 41*d + 12. Suppose 3*s - 2 = 2*s, -d*g + 3*s = -9427994. Round g to the nearest one hundred thousand.
2400000
Let s = 1.28419918 + -1.2844. What is s rounded to four dps?
-0.0002
Let b = -18.45 + 6007.45. Let t = -5989.42987 + b. Let v = t - -0.43. What is v rounded to 3 decimal places?
0
Let r = 855 + -506. Let v = r - 350.29. Round v to the nearest integer.
-1
Let n be (296*1)/((-42)/63). Let x be 3857454/4*n/(-18). Suppose -7412367 = -8*b + x. What is b rounded to the nearest one million?
4000000
Let s = -15815.999981262 - -15816. Round s to six decimal places.
0.000019
Let f = 8167 - 8270.42. Let g = f + 11.32. Round g to the nearest integer.
-92
Let j = 12547.9985 - 12552. What is j rounded to 2 decimal places?
-4
Let a = -2019 + 2020.9952. Let v = a - 2.5. Round v to 2 dps.
-0.5
Let l = 48452.0000024713 - 48452. What is l rounded to seven dps?
0.0000025
Let k = 74.2086 - 71.17307. Round k to one dp.
3
Let b be -9 - 3/(48/(-341056)). What is b rounded to the nearest 1000?
21000
Suppose -3*v = 4*v. Let l(r) = -r**3 + 2*r**2 - r + 96. Let i be l(v). Round i to the nearest ten.
100
Let c = 2121.9 - 1508.6. What is c rounded to the nearest one thousand?
1000
Suppose -38427000 = 3*l - 22*d + 26*d, 2*l = -3*d - 25618000. Round l to the nearest one hundred thousand.
-12800000
Let o = 46716.3331 - 46714. What is o rounded to 2 decimal places?
2.33
Let g = -615104 + 256014. Round g to the nearest one hundred thousand.
-400000
Let o = 2.568 + -17.178. Let t = o - 10.35. What is t rounded to the nearest integer?
-25
Let p = -12.86 - -2921.86. Let k = 2908.6562 - p. What is k rounded to two decimal places?
-0.34
Let p = 4.94 - 6.94. Let y = 15455144 - 15455142.00000048. Let h = y + p. What is h rounded to 7 dps?
-0.0000005
Let y = -452 + 438.966. Let h = -13 - y. Let a = 0.245 - h. What is a rounded to 2 dps?
0.21
Let y = -74371756 - -74193734.039. Let h = 177950 + y. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
tiple of 2?
True
Suppose -5*z = 3*r - 460 - 485, -756 = -4*z - 5*r. Suppose -z - 323 = -4*s. Is 8 a factor of (-6)/(-4)*s/24?
True
Is (-11646)/54*-3 + (3 - -1) a multiple of 13?
False
Suppose 0*y = -2*y + 4*x + 4002, -3*y = 2*x - 5995. Is y a multiple of 18?
False
Suppose 3*i - 3*b + 57 = 0, 4*i - b = -3*b - 58. Let v = i + 26. Does 10 divide v?
True
Suppose -b + 42 = 3*u, 3*b = -0*u + u + 86. Suppose l + 15 + 5 = -3*z, 2*l + b = -4*z. Let x(j) = j**3 + 6*j**2 - j + 2. Is x(l) a multiple of 16?
True
Let i(m) = m**3 + 6*m**2 - 2*m - 3. Is 16 a factor of i(-5)?
True
Let c = 46 - 147. Let a = c - -143. Is a a multiple of 7?
True
Is 54 a factor of 1789 + -66 - (-4 + -1)?
True
Let t(d) = -d + 1. Let x(z) = -14*z - 12. Let w(k) = -3*t(k) - x(k). Is w(3) a multiple of 15?
True
Let g(i) = -i**3 - 4*i**2 - 5*i - 10. Let v(p) = p**2 + 10*p - 32. Let c be v(-13). Suppose -29 + 1 = c*m. Does 5 divide g(m)?
True
Suppose 2300 = 10*o - 13440. Does 14 divide o?
False
Suppose 2*w + 94 + 52 = 0. Let j = w + 109. Is 6 a factor of j?
True
Suppose 0 = u - 4*v + 420, 5*u + 2016 = -v - 0*v. Is u/(-10) - -3*(-2)/15 a multiple of 4?
True
Let j(t) = t**3 - t**2. Let r be j(3). Suppose 0 = b - 2, y + b = -3*y + r. Let x(g) = 5*g + 8. Does 7 divide x(y)?
True
Let j = -118 - -84. Let t = 74 + j. Does 20 divide t?
True
Suppose 0*y = 2*y. Let o be ((-20)/30)/(4/(-282)). Is 11 a factor of 0 + -3 + (o - y)?
True
Is (-60)/(-140) + 2461/7 a multiple of 11?
True
Let y(h) = -116*h - 181. Is 33 a factor of y(-7)?
False
Suppose -17*l = -20*l + 678. Is 12 a factor of l?
False
Does 43 divide -3 - (109708/(-24) + (-5)/(-30))?
False
Let g(l) = 340*l**2. Let k be g(-1). Suppose k = 5*s - 40. Let w = s - -28. Does 26 divide w?
True
Suppose 4*h = -5*k - 5 - 3, -2*k = 5*h + 10. Is 1 + (51 - k) - (3 - 2) a multiple of 10?
False
Let f(c) = -c**3 - 14*c**2 - c + 3. Let w be f(-14). Let l = w - 13. Does 2 divide l?
True
Let g = -648 + 1856. Does 42 divide g?
False
Suppose 9 - 36 = a - 3*h, h - 39 = 2*a. Let o be (a/4)/((-6)/(-60)). Is 13 a factor of (-27)/o + 364/10?
False
Suppose -5 = 2*a + 11. Let o = a + 6. Let q = 13 - o. Is q a multiple of 15?
True
Suppose 14*t - 11248 - 7400 = 0. Is 74 a factor of t?
True
Let p be 38/(-14) + 10/(-35). Let w be 40/(-3) + (-1)/p. Let y = 23 + w. Is 3 a factor of y?
False
Let c(y) = y**2 - 11*y - 23. Let w be c(-4). Suppose -2*b = -2, 0 = 2*i + 3*b - w - 156. Does 7 divide i?
False
Let a(p) be the third derivative of 5/24*p**4 + 0*p + 0 + 1/60*p**5 + 10*p**2 + 13/6*p**3. Is a(-8) a multiple of 12?
False
Suppose 0 = -3*p + 17 - 8. Suppose 2*k - p*k = -5*q + 185, 5*k = -25. Does 9 divide q?
True
Let f be ((-30)/(-12)*-1)/((-1)/2). Suppose -f*d + 80 = -30. Is d a multiple of 4?
False
Let m = 566 + -265. Is m a multiple of 4?
False
Let y(b) = b**3 + 4*b**2 - 4*b + 9. Let w be y(-5). Suppose -2*h + 74 = -2*l, -h + w*l - l + 47 = 0. Does 11 divide h?
False
Let q(s) = -s**3 + 3*s**2 + 13*s + 28. Does 84 divide q(-5)?
False
Let t = -977 - -1652. Suppose 9*a - t = -162. Does 10 divide a?
False
Let m = -1043 - -1574. Is m a multiple of 9?
True
Does 3 divide (-3372)/(-30) + (-4)/10 + 4?
False
Let q be ((-135)/36)/((-6)/8)*2. Is 3 a factor of q*(3 + (-16)/10)?
False
Let i(b) = 8*b + 3. Let z(h) = -7*h - 2. Let f be 50/(-12) + 7/42. Let k(x) = f*i(x) - 6*z(x). Is 5 a factor of k(2)?
True
Let x be 1/2 + 1468/8. Let m be 1/(-2) - 14/(-4). Suppose h - x = -m*h. Is 12 a factor of h?
False
Suppose -2*j - 3*k = -3*j + 5, -2*k + 2 = -2*j. Does 11 divide 165*((-3)/36)/(1/j)?
True
Suppose 3*j - 2*v - 968 = 0, -j + 5*v + 316 = v. Is j a multiple of 10?
False
Suppose 2 - 6 = -y. Suppose -y*k + 11 = -37. Suppose -v = -k + 2. Is 7 a factor of v?
False
Suppose 9*f = 5*f - 4. Is f/4 + 1980/48 a multiple of 41?
True
Suppose -85 = -4*g + 75. Is 2 a factor of g?
True
Suppose -2*m + 0 = 4. Let i(c) = 32*c - 4. Let v be i(m). Is 4 a factor of 10/15 - v/6?
True
Suppose 10*l + 14 = 9*l. Let a(r) = -r**2 - 14*r + 4. Let n be a(l). Suppose k - 21 = -3*m, 2*k - 2*m + 26 = n*k. Does 9 divide k?
True
Let j = -370 + 903. Is j a multiple of 39?
False
Suppose 0 = 2*n - 6 - 8. Let k = -10 + n. Does 14 divide 51 - (1 - (7 + k))?
False
Suppose 0 = -5*i + 6*i - 200. Suppose -r + 5*t = -73 + 12, -4*t = -5*r + i. Is 14 a factor of -1*(-9)/(r/112)?
True
Suppose 2*b = -3*b + 1050. Suppose b = 2*l - w - w, -5*l = 2*w - 490. Is l a multiple of 16?
False
Let c(m) be the second derivative of m**4/6 - m**3/6 + m**2/2 - m. Let g(h) = -h**2 - 11*h - 21. Let r be g(-9). Is 11 a factor of c(r)?
True
Let b(h) = -5*h - 33. Let o be b(-7). Suppose 0 = -2*k - o*p + 470, -2*p + 0*p = 5*k - 1184. Does 14 divide k?
True
Let m = 400 - -63. Is 19 a factor of m?
False
Is 36/(-45) + (-16233)/(-35) a multiple of 7?
False
Let t = -561 - -860. Is t a multiple of 23?
True
Let w be (5 - 2)/((9/(-6))/(-1)). Suppose -w*y + o + 214 = -14, -o - 115 = -y. Does 28 divide y?
False
Let h = 4502 - 2139. Does 102 divide h?
False
Let t(l) = -4*l + 6*l + 13 - 3*l + 15. Is 15 a factor of t(-17)?
True
Suppose -5*w - 5*h + 1540 = 0, -5*w + 6*h + 1540 = 2*h. Let v = -166 + w. Is v a multiple of 12?
False
Let p(b) = 2*b + 3. Let g(d) = -d**3 + 2*d. Let i be g(0). Let n be p(i). Suppose 0 = -n*x + 7*x - 168. Is 21 a factor of x?
True
Suppose a + 3*v = 14, -5*a = -4*a - v - 2. Let s(n) = n**2 - 4. Is s(a) a multiple of 7?
True
Let c(d) be the first derivative of d**3/3 + d - 63. Let r = 3 - 5. Does 4 divide c(r)?
False
Let m = 396 + -361. Is m a multiple of 3?
False
Let a(z) = z**3 - 11*z**2 - 9*z - 3. Let i be a(12). Suppose -5*x + 0*x = 5, 0 = -2*v - x + i. Suppose 15*d = v*d - 26. Is 6 a factor of d?
False
Let b(v) be the third derivative of -2*v**4/3 - v**3/3 - 2*v**2. Let i be b(-5). Suppose 5*q + i - 223 = 0. Is 10 a factor of q?
False
Let p(r) = -r**3 - 15*r**2 + 14*r + 15. Let v be p(-18). Let m = v - 480. Does 15 divide m?
True
Suppose -3*v + 0*v = 0. Suppose v = -2*z + j - 4*j - 12, -j = 3*z + 4. Suppose 0 = -2*t - t + 4*q + 89, 5*q + 10 = z. Is t a multiple of 9?
True
Suppose 5*c + 1 = -2*t, 5*t - 2*c - 31 = 39. Suppose -3*q = q - t. Let z(m) = 2*m**2 - 5*m + 4. Is z(q) even?
False
Suppose -48*b + 34*b + 4914 = 0. Does 22 divide b?
False
Suppose -9*t + 13*t = 20. Suppose -8*b + t*b - 294 = 0. Let k = 173 + b. Is 25 a factor of k?
True
Suppose -4*l + 13 = 1. Let r be 1/(100/33 - l). Let n = r + 81. Is 33 a factor of n?
False
Let t be 0 - (-1 + -6 + 4). Let s(n) = n**2 + 4*n - 1. Is 10 a factor of s(t)?
True
Let j(l) = -15*l**2 + 18*l**2 - l**3 - l + l. Let v be j(2). Suppose v*h - 7*h + 21 = 0. Is h a multiple of 4?
False
Let a(n) = 2*n**2 - 21*n + 2. Does 76 divide a(18)?
False
Let b(k) = -8 - 46*k + 15 - 11. Is b(-2) a multiple of 15?
False
Let d(m) = -5*m**2 - 137*m - 22. Does 17 divide d(-27)?
False
Suppose 5*j = -3*c + 16, 0*j - 4*j = c - 10. Let a = 1 + c. Is 21 a factor of (-46)/((12/a)/(-4))?
False
Let s = 1169 - 685. Is s a multiple of 44?
True
Let m(x) = -88*x - 90. Does 12 divide m(-2)?
False
Let n be 42/4 + 3/6. Suppose -3*q + n = 5. Suppose 0 = 2*m - m + 3, -q*i - 3*m = -13. Is 5 a factor of i?
False
Let i(b) = -b**2 - 5*b + 10. Let p(o) = o. Let s(d) = -i(d) - 2*p(d). Let m be s(-5). Suppose m = -5*y - 26 + 281. Is 23 a factor of y?
False
Let r = -40 + 152. Is r a multiple of 4?
True
Let f = 34 - 3. Suppose -25 + f = 2*b. Does 10 divide (612/48)/(b/16)?
False
Let v(u) = -56*u - 679. Does 23 divide v(-24)?
False
Let b(n) = 646*n**3 - n**2 - 3*n + 4. Is b(1) a multiple of 24?
False
Let w(n) = 9*n**2 - 49*n. Is 6 a factor of w(9)?
True
Suppose -b + 71 = -4*k - 0*b, 0 = k + 2*b + 29. Is 16 a factor of 1 + 11 + (-15 - k)?
True
Let r(o) = 10*o - 32. Suppose b - 22 = -2*v + 3, -4*b = -5*v + 56. Is 11 a factor of r(v)?
True
Suppose -2*x - 58 = -62. Does 14 divide (x/(-9) - 0) + (-2146)/(-18)?
False
Let x be (-214)/8 + 12/16. Let r = -24 - x. Is r a multiple of 2?
True
Let w = -27 - -363. Does 42 divide w?
True
Suppose -4*r = 2*u + 518, 6*r - 2*r = -3*u - 519. Let l be (-5)/10 - r/(-6). Let d = 29 + l. Does 7 divide d?
True
Let v be 0 + (5 - (2 - 3)). Let d = v - -163. Does 13 divide d?
True
Suppose -2*m + 3280 = -2*x, 0*m - x + 3274 = 2*m. Is m a multiple of 14?
True
Is ((-468)/(-24))/(3/52) a multiple of 11?
False
Suppose 0 = -2
|
{
"pile_set_name": "DM Mathematics"
}
|
r of p and 196.
28
Suppose -56*p - 1019 = -2*w - 53*p, -1518 = -3*w + p. Calculate the highest common factor of 707 and w.
101
Let h(z) = -117*z - 2204. Let u be h(-19). Calculate the highest common factor of u and 4009.
19
Suppose -192476 + 43994 = -18*y. What is the greatest common factor of 146 and y?
73
Let b = 12891 - 12884. Calculate the highest common divisor of b and 1057.
7
Suppose -3*j = 15, -b + 3*j + 35 = 3*b. Suppose -2*s - 3*a + b = -4*s, s - 3*a = -7. What is the greatest common factor of s and 74?
2
Suppose 5*k = 66 + 429. Suppose -4*o + 8 + 4 = 0. Suppose o*q - 3*a - 21 = 0, -5*q + 0*a = -3*a - 39. Calculate the highest common divisor of q and k.
9
Suppose -8787*j - 10836 = -8794*j. What is the greatest common factor of j and 144?
36
Let v(h) = 15*h**2 - 214*h - 880. Let c be v(-4). Calculate the highest common factor of 120 and c.
24
Let t = 139 + 77. Let x(y) = -y + 14. Let h be x(12). Suppose c - 5*w - 9 = 0, 0 = -5*c - 2*w - h*w + 132. What is the highest common factor of c and t?
24
Let q be (-5887)/(-5) - 198/(-330). Suppose 230 = 2*d - q. What is the greatest common factor of 32 and d?
32
Suppose -3759 = -103*n + 2833. What is the greatest common divisor of 12160 and n?
64
Suppose 4*q - 127 = -r + 3*q, -2*r + 269 = -3*q. Calculate the greatest common divisor of 90 and r.
10
Let n(f) = 2*f**2 - 24*f - 17. Let t be n(13). Let v be 2*t/(-6)*40/(-15). Suppose -v*j - 136 = -12*j. Calculate the greatest common factor of 272 and j.
34
Let m be -13 + 11 - (-1 - (2 + 7)). Let w be m*(8 - 117/(-36)). What is the greatest common factor of 300 and w?
30
Suppose 255 = 28*y - 837. Calculate the highest common factor of 221 and y.
13
Let c(v) = 2*v**3 - 211*v**2 + 112*v - 182. Let k be c(105). Calculate the highest common divisor of k and 869.
79
Let r = -125 - -126. Let q be 3*7*2/r. Let i(y) = -y**2 + 11*y - 4. Let x be i(9). What is the highest common factor of x and q?
14
Suppose 7680 = 5*c + 43*c. What is the greatest common divisor of c and 5920?
160
Suppose -3*h = 2*z - 0*h - 23, h + 4 = z. Let t(o) = 176*o + 10053. Let k be t(-57). Calculate the greatest common divisor of k and z.
7
Let g = -453 + 589. Let a be ((-6)/15 - 0)/(2/(-20)). Suppose 3*l = -a*l + 119. What is the highest common factor of g and l?
17
Suppose 0 = 5*t + h - 47, 0 = 3*t - 3*h + 4*h - 29. Let z be t/(-2)*-2*5. Suppose 84*i + 49*i = 1197. What is the greatest common divisor of i and z?
9
Let k(t) = 5*t**2 - 344*t + 203. Let f be k(69). Calculate the highest common factor of 32 and f.
16
Suppose -2*j - 215*g + 76 = -212*g, -4 = -2*g. Calculate the highest common factor of 235 and j.
5
Suppose 2*r + d = -2*d + 6, 3*d - 24 = -4*r. Calculate the greatest common factor of r and 486.
9
Let v(d) = 25*d**2 + 11*d + 6. Let g(o) = -2*o**2 + 79*o + 122. Let z be g(41). Let t be v(z). What is the highest common divisor of t and 28?
4
Let c(d) = -33*d + 861. Let g be c(25). Calculate the greatest common factor of g and 84.
12
Suppose -22 + 3 = -2*h - 3*c, -h - 10 = -5*c. Let z be 16/h*33/22*10. What is the greatest common divisor of 336 and z?
48
Suppose -3*o + 83 - 29 = 0. Suppose 5*i + o = 138. Suppose 0 = 2*p - i - 0. Calculate the greatest common factor of p and 108.
12
Suppose -11*t + 8*t = -5*a - 125, 4*t = -2*a + 158. Suppose -2*q - t = -10*q. What is the highest common divisor of 135 and q?
5
Let k(m) = -m + 15. Let x be k(11). Suppose 12*j - 3 = 15*j. Let i be 13 - ((-7)/14)/(j/2). Calculate the highest common factor of x and i.
4
Let i = -248 - -246. Let w be (-218)/(-4) - (3/(-2) - i). Calculate the greatest common divisor of w and 135.
27
Suppose 5*d + 8692 = 49*d + 244. What is the highest common factor of d and 800?
32
Let z be (-4648)/(-8)*(-4 + (7 - 4))*-1. What is the highest common factor of z and 249?
83
Suppose 0 = k - 69 - 30. Let n be ((-51)/12 - 0)/(4/22*592/(-4736)). What is the highest common divisor of k and n?
11
Let d = 95322 + -94961. Suppose -y - 29 = -2*f + 2*y, 15 = 5*y. Calculate the highest common factor of d and f.
19
Suppose 760*x - 753*x = 105. Suppose o - x = 5*f, 2*f + 19 + 5 = o. What is the highest common divisor of 30 and o?
30
Suppose -18*k + 478 = -1124. Suppose -3*d = r + r - k, -2*r = -5*d - 65. What is the highest common divisor of 920 and r?
40
Suppose -g + 110 - 41 = 0. What is the highest common factor of g and 161?
23
Suppose 0 = 3*t + 3*r + r - 55, -4*r = -3*t + 95. Suppose 39 - 159 = -v. Suppose 20 = -2*k + v. What is the greatest common divisor of k and t?
25
Let r be 14391/1105 + 4/(-170). Let k be (6/5)/(3/585). Calculate the greatest common factor of k and r.
13
Suppose -1995 = -5*r + 2*r. Suppose -l + 37 = 2*p, 14*l + 5*p = 11*l + 110. Calculate the greatest common divisor of r and l.
35
Let z = 7412 + -2565. Calculate the highest common factor of 74 and z.
37
Suppose 2*l = 245*c - 243*c - 7900, 2*c - 7894 = 3*l. Calculate the greatest common divisor of 115 and c.
23
Suppose 2*o - 3*r + 4*r = 12, -5*r = 0. Let b be (3 - -17)/(5/(-530)). Let g be 2/(-11) + b/(-44). What is the highest common divisor of g and o?
6
Let b = 52 + -49. Suppose 21 - b = 3*c. Calculate the greatest common divisor of 162 and c.
6
Let u(a) = -a**2 + 4*a - 27. Let k be u(0). Let n = k - -38. Suppose 0 = -n*j + 16*j - 105. Calculate the greatest common divisor of j and 21.
21
Suppose -684*k - 146896 = -106*k - 543404. Let b be -2 - -1 - (-15 - 0). What is the highest common factor of b and k?
14
Let c = -4 - -7. Suppose -b = -3*u + 572, u - 6*b - 199 = -4*b. Let a be u/14*(1 - (-2 + 1)). What is the greatest common factor of a and c?
3
Let w(n) = n**2 - 6*n - 37. Let k be w(-6). Suppose 7*t = 8*t - k. Calculate the greatest common factor of 95 and t.
5
Suppose -771*j + 4140 = -347*j - 388*j. What is the highest common divisor of 440 and j?
5
Let i = -1902 - -4926. Suppose -23*k = -39*k + i. Calculate the greatest common divisor of k and 42.
21
Suppose 0 = 2*i - 2 + 10, 2*i - 184 = -4*x. Suppose 22*v - 2160 = -28*v + 41*v. What is the highest common divisor of v and x?
48
Let f = 553 - 501. Let u(n) = n**2 + 7*n - 7. Let x be u(-14). Calculate the greatest common factor of f and x.
13
Suppose -3*u - 39 + 249 = 0. Suppose -121 = 5*c - 6*c + 3*n, -2*c = -4*n - 236. What is the highest common factor of c and u?
14
Suppose -5*i + b + 46 = 0, 0 = -4*i + b + 18 + 19. Let h(w) = -6*w**2 + 79*w - 104. Let z be h(8). Calculate the highest common divisor of i and z.
9
Let b = -4760 + 7306. What is the greatest common factor of b and 268?
134
Let c(m) = 8*m - 201. Let l be c(24). Let b be (-123 + -12)/(-5) + (l - -2). Let i be 722/9 - 2/9. What is the highest common divisor of i and b?
20
Let u(h) = -h**2 + 8*h - 1. Let z be u(7). Suppose -60 = -84*o + 79*o. What is the greatest common factor of o and z?
6
Let b(a) = a + 12. Let j be b(10). Suppose 0 = -24*z + j*z + 90. Let l be (252/30)/(-3*(-3)/z). What is the greatest common divisor of 63 and l?
21
Suppose -1 = -5*l - 3*w, 2*w = l - 1 + 6. Let z be (-388 + -6 - (1 + l))/(-2). Let b = -113 + z. Calculate the greatest common divisor of 24 and b.
12
Let g = -17 + 52. Suppose -4*r = 11 - g. Suppose 0 = 4*m + d - r, 1 = 4*m - d - 9. What is the highest common divisor of 2 and m?
2
Let x(n) = -13*n - 168. Let q be x(19). Let r = 455 + q. What is the greatest common divisor of r and 5?
5
Let a = -72 + 66. Let w(u) = -u**2 - 7*u - 5. Let t be w(a). Let g be 2/(-6) + 12/9*t. What is the highest common factor of g and 9?
1
Let z be (60/4)/((-9)/(-1740)). What is the greatest common factor of 800 and z?
100
Suppose 5*w = n + 83, -2*w + 3*n = w - 57. Let y(x) = -4*x - 5*x - 2*x + 9*x + 10. Let b be y(-7). What is the greatest common factor of w and b?
8
Suppose 2*k + 3*b = 128, -6*k = -3*k + 4*b - 189. Let r(d) = 72*d + 8. Let x be r(6). Calculate the greatest common divisor of k and x.
55
Suppose 27*i + 1638 = -12*i. Let k = -8 - i. What is the greatest common divisor of 544 and k?
34
Let c be 3 - (-1)/((-1)/2). Let z be 3185/21 + c/3. Calculate the highest common factor of 8 and z.
8
Let d(i) = 6*i + 145. Let w be d(0). Let m = 246 - w. Let x = -53 + m. Calculate the greatest common factor of x and 96.
48
Let w = -102801 - -102834. Let k(f) = -263*f + 2. Let i be k(-2). What is the highest common divisor
|
{
"pile_set_name": "DM Mathematics"
}
|
674
What is the g'th term of 2429706, 4859458, 7289210, 9718962?
2429752*g - 46
What is the t'th term of 51825, 114559, 177295, 240033, 302773?
t**2 + 62731*t - 10907
What is the c'th term of -1070299, -2140360, -3210421?
-1070061*c - 238
What is the k'th term of -33473, -66882, -100215, -133442, -166533, -199458, -232187, -264690?
5*k**3 + 8*k**2 - 33468*k - 18
What is the r'th term of -3789412, -3789415, -3789430, -3789463, -3789520, -3789607, -3789730, -3789895?
-r**3 + 4*r - 3789415
What is the d'th term of -251777296, -503554593, -755331890, -1007109187, -1258886484?
-251777297*d + 1
What is the n'th term of -32419, -65207, -98009, -130831, -163679, -196559, -229477, -262439?
-n**3 - n**2 - 32778*n + 361
What is the f'th term of -25127, -29490, -33853?
-4363*f - 20764
What is the q'th term of 733, 983, 1367, 1885, 2537?
67*q**2 + 49*q + 617
What is the q'th term of 3099829, 3099814, 3099789, 3099754, 3099709, 3099654, 3099589?
-5*q**2 + 3099834
What is the h'th term of 293047336, 293047344, 293047354, 293047366, 293047380?
h**2 + 5*h + 293047330
What is the g'th term of 24686, 49373, 74060, 98747?
24687*g - 1
What is the n'th term of -183794, -183130, -182468, -181808, -181150?
-n**2 + 667*n - 184460
What is the f'th term of -27438, -54696, -81956, -109218, -136482?
-f**2 - 27255*f - 182
What is the s'th term of 192, 1291, 4086, 9363, 17908, 30507, 47946?
131*s**3 + 62*s**2 - 4*s + 3
What is the f'th term of -126268, -126618, -126968, -127318?
-350*f - 125918
What is the z'th term of -4963, -20071, -45301, -80653?
-5061*z**2 + 75*z + 23
What is the y'th term of 215964776, 431929555, 647894334, 863859113?
215964779*y - 3
What is the n'th term of -2540, -5742, -9592, -14084, -19212, -24970?
n**3 - 330*n**2 - 2219*n + 8
What is the j'th term of 478209, 1913125, 4304657, 7652811, 11957593, 17219009?
j**3 + 478302*j**2 + 3*j - 97
What is the x'th term of -1026989, -4108895, -9245397, -16436489, -25682165, -36982419?
x**3 - 1027304*x**2 - x + 315
What is the h'th term of 4756, 9492, 14234, 18982, 23736?
3*h**2 + 4727*h + 26
What is the k'th term of -1696, -4635, -9416, -16045, -24528, -34871, -47080, -61161?
-k**3 - 915*k**2 - 187*k - 593
What is the c'th term of -45904, -45893, -45872, -45841, -45800, -45749?
5*c**2 - 4*c - 45905
What is the z'th term of -105648, -106301, -106960, -107625, -108296, -108973?
-3*z**2 - 644*z - 105001
What is the k'th term of 38843675, 38843673, 38843671, 38843669?
-2*k + 38843677
What is the y'th term of 29100, 25744, 22388?
-3356*y + 32456
What is the p'th term of -3331744, -6663489, -9995234, -13326979, -16658724, -19990469?
-3331745*p + 1
What is the p'th term of -178728, -714899, -1608516, -2859579, -4468088?
-178723*p**2 - 2*p - 3
What is the z'th term of 227, 1549, 5151, 12173, 23755?
190*z**3 - 8*z + 45
What is the f'th term of 86, 668, 1714, 3230, 5222, 7696, 10658?
f**3 + 226*f**2 - 103*f - 38
What is the u'th term of 14228, 28506, 42810, 57134, 71472?
-u**3 + 19*u**2 + 14228*u - 18
What is the v'th term of 20202, 39381, 57542, 74685, 90810?
-509*v**2 + 20706*v + 5
What is the w'th term of 27960, 33247, 38534, 43821?
5287*w + 22673
What is the h'th term of -414432, -414401, -414372, -414345?
-h**2 + 34*h - 414465
What is the o'th term of 1342, 2899, 4652, 6601, 8746, 11087?
98*o**2 + 1263*o - 19
What is the q'th term of 14039838, 28079685, 42119532, 56159379, 70199226?
14039847*q - 9
What is the x'th term of -1873, -14623, -49105, -116185, -226729, -391603, -621673?
-1811*x**3 - 73*x + 11
What is the l'th term of -5859, -5870, -5881, -5892, -5903, -5914?
-11*l - 5848
What is the d'th term of -25375, -25983, -26997, -28417, -30243?
-203*d**2 + d - 25173
What is the n'th term of -3093, -7773, -14023, -21831, -31185, -42073?
2*n**3 - 797*n**2 - 2303*n + 5
What is the z'th term of -88431, -88396, -88361?
35*z - 88466
What is the u'th term of 453401, 453476, 453543, 453602, 453653?
-4*u**2 + 87*u + 453318
What is the g'th term of -6260, -8751, -11246, -13745, -16248?
-2*g**2 - 2485*g - 3773
What is the o'th term of -82236, -164454, -246672, -328890, -411108, -493326?
-82218*o - 18
What is the j'th term of 15227, 13359, 10253, 5915, 351, -6433, -14431, -23637?
j**3 - 625*j**2 + 15851
What is the c'th term of -186333354, -186333357, -186333360?
-3*c - 186333351
What is the c'th term of -640872, -1282108, -1923342, -2564574, -3205804, -3847032, -4488258?
c**2 - 641239*c + 366
What is the t'th term of 496532, 993046, 1489560, 1986074?
496514*t + 18
What is the r'th term of -182891, -182748, -182509, -182174, -181743, -181216, -180593?
48*r**2 - r - 182938
What is the s'th term of -69539869, -69539868, -69539867?
s - 69539870
What is the q'th term of 2327230, 4654459, 6981688, 9308917?
2327229*q + 1
What is the f'th term of -256, -411, -658, -997, -1428, -1951, -2566?
-46*f**2 - 17*f - 193
What is the b'th term of 136975, 136998, 137027, 137062, 137103, 137150, 137203?
3*b**2 + 14*b + 136958
What is the k'th term of -15657616, -15657623, -15657634, -15657649, -15657668, -15657691, -15657718?
-2*k**2 - k - 15657613
What is the f'th term of -2908, -5660, -8370, -11038, -13664, -16248?
21*f**2 - 2815*f - 114
What is the p'th term of 5973068, 11946153, 17919244, 23892341?
3*p**2 + 5973076*p - 11
What is the z'th term of 3149709, 6299415, 9449121?
3149706*z + 3
What is the l'th term of -45949775, -45949767, -45949753, -45949733, -45949707?
3*l**2 - l - 45949777
What is the m'th term of -563, -731, -887, -1025, -1139?
m**3 - 175*m - 389
What is the y'th term of -2091442, -2091411, -2091380, -2091349?
31*y - 2091473
What is the p'th term of 304101, 608845, 913589?
304744*p - 643
What is the a'th term of -75783, -151581, -227379, -303177?
-75798*a + 15
What is the v'th term of 21625616, 21625621, 21625630, 21625643, 21625660, 21625681?
2*v**2 - v + 21625615
What is the p'th term of -387446, -1549762, -3486952, -6199016, -9685954, -13947766, -18984452?
-387437*p**2 - 5*p - 4
What is the v'th term of 11255497, 22510989, 33766481, 45021973, 56277465, 67532957?
11255492*v + 5
What is the z'th term of -282384, -1129317, -2540872, -4517049, -7057848, -10163269, -13833312?
-282311*z**2 - 73
What is the s'th term of -364621, -364602, -364583, -364564, -364545, -364526?
19*s - 364640
What is the m'th term of 18150, 13832, 2110, -20718, -58354, -114500, -192858, -297130?
-617*m**3 + m + 18766
What is the x'th term of -3608866, -14435503, -32479898, -57742051, -90221962, -129919631, -176835058?
-3608879*x**2 + 13
What is the j'th term of -1225180, -1225129, -1225078, -1225027?
51*j - 1225231
What is the i'th term of 151, 1083, 2773, 5221, 8427?
379*i**2 - 205*i - 23
What is the j'th term of -47737389, -47737390, -47737391?
-j - 47737388
What is the x'th term of 2799, 5627, 8527, 11529, 14663?
5*x**3 + 6*x**2 + 2775*x + 13
What is the v'th term of 3771700, 3771746, 3771792, 3771838, 3771884, 3771930?
46*v + 3771654
What is the p'th term of -22232, -23942, -25664, -27398, -29144?
-6*p**2 - 1692*p - 20534
What is the t'th term of -4302375, -8604716, -12907055, -17209392, -21511727?
t**2 - 4302344*t - 32
What is the h'th term of -3450996, -6902001, -10353006?
-3451005*h + 9
What is the g'th term of -33, 56, 331, 894, 1847, 3292, 5331, 8066?
17*g**3 - 9*g**2 - 3*g - 38
What is the u'th term of 436, 822, 1164, 1486, 1812?
4*u**3 - 46*u**2 + 496*u - 18
What is the z'th term of 13508131, 27016244, 40524357, 54032470, 67540583?
13508113*z + 18
What is the r'th term of -40915, -82606, -124313, -166042, -207799, -249590, -291421, -333298?
-r**3 - 2*r**2 - 41678*r + 766
What is the l'th term of 216088, 216111, 216132, 216151, 216168, 216183, 216196?
-l**2 + 26*l + 216063
What is the i'th term of -67478312, -134956613, -202434914, -269913215, -337391516?
-67478301*i - 11
What is the i'th term of -7313314, -14626637, -21939960?
-7313323*i + 9
What is the h'th term of -162804, -325701, -488598?
-162897*h + 93
What is the c'th term of -621, -1823, -3589, -5895, -8717, -12031, -15813, -20039?
4*c**3 - 306*c**2 - 312*c - 7
What is the i'th term of -16301, -20838, -1843, 52450, 153807, 313994?
1961*i**3 - 18264*i + 2
What is the t'th term of -18950, -18946, -18930, -18896, -18838, -18750?
t**3 - 3*t - 18948
What is the d'th term of 84209, 336778
|
{
"pile_set_name": "DM Mathematics"
}
|
-150431
What is next in 7332471, 7332499, 7332527, 7332555?
7332583
What is the next term in 184024805, 184024804, 184024803, 184024802, 184024801, 184024800?
184024799
What is next in -4800039, -4800038, -4800037?
-4800036
What comes next: -44939, -46897, -50153, -54701, -60535?
-67649
What comes next: -31255386, -31255384, -31255382, -31255380, -31255378?
-31255376
What is next in 79783, 111777, 143769, 175759, 207747, 239733?
271717
What is next in -3614859, -3614877, -3614895, -3614913?
-3614931
What comes next: 29013, 57957, 86913, 115887, 144885, 173913, 202977, 232083?
261237
What is next in -2049, -8156, -18315, -32526?
-50789
What is next in 29541436, 29541450, 29541490, 29541568, 29541696?
29541886
What comes next: 50521, 101009, 151497, 201985, 252473?
302961
What comes next: 1992843, 1992850, 1992863, 1992882, 1992907?
1992938
What comes next: -7663, -15672, -23571, -31360, -39039?
-46608
What comes next: 1768, 3467, 5178, 6901?
8636
What is the next term in 377905, 756403, 1134895, 1513381, 1891861, 2270335, 2648803?
3027265
What is next in -188, -5218, -13604, -25346, -40444, -58898, -80708?
-105874
What is the next term in -11846, -23714, -35604, -47516, -59450?
-71406
What comes next: -522, -881, -1306, -1797, -2354, -2977?
-3666
What is next in -1426, -274, 1544, 3944, 6842, 10154, 13796, 17684?
21734
What is the next term in -1849, -3496, -5209, -6988?
-8833
What is the next term in -904, -3776, -8560, -15250, -23840?
-34324
What is next in -90342, -361375, -813106, -1445541, -2258686?
-3252547
What is the next term in -2269, -10391, -23927, -42877?
-67241
What is the next term in 152138, 152071, 151956, 151787, 151558, 151263, 150896?
150451
What comes next: -87928, -175722, -263532, -351364, -439224?
-527118
What is the next term in -499503, -500569, -501635, -502701, -503767, -504833?
-505899
What is the next term in 88816991, 177633981, 266450971, 355267961, 444084951?
532901941
What comes next: -5513, -4849, -3037, 499, 6335, 15047, 27211?
43403
What is the next term in -32623, -47155, -61687, -76219, -90751?
-105283
What is the next term in -9157, -8970, -8621, -8110, -7437?
-6602
What is the next term in 18159319, 18159320, 18159321, 18159322?
18159323
What comes next: -16729, -33363, -49997?
-66631
What is the next term in 3288, 12562, 27838, 49116, 76396, 109678, 148962?
194248
What is the next term in 7585, 15401, 23221, 31045?
38873
What comes next: -307610, -1230414, -2768406, -4921574, -7689906, -11073390, -15072014?
-19685766
What is next in -1053, -2555, -4851, -8337, -13409?
-20463
What is next in 325299, 650598, 975897, 1301196, 1626495?
1951794
What is the next term in -10894, -86906, -293116, -694624, -1356530, -2343934, -3721936, -5555636?
-7910134
What comes next: 4447, 4783, 5119?
5455
What is next in -970864, -1941743, -2912622?
-3883501
What is the next term in 384, 594, 1146, 2214, 3972, 6594?
10254
What comes next: 1371243, 2742339, 4113435, 5484531, 6855627, 8226723?
9597819
What is next in -12317, -27286, -42255, -57224?
-72193
What is next in 24833, 24738, 24581, 24362, 24081, 23738, 23333?
22866
What comes next: 255757, 1022690, 2300811, 4090126, 6390641, 9202362, 12525295, 16359446?
20704821
What is the next term in 12476, 24414, 36352, 48290, 60228, 72166?
84104
What comes next: -11202988, -11202989, -11202990?
-11202991
What comes next: -25698, -39619, -62822, -95307, -137074, -188123?
-248454
What comes next: 112822, 112944, 113080, 113224, 113370, 113512, 113644?
113760
What is next in -405398, -405373, -405348, -405323?
-405298
What is next in -3976125, -15904544, -35785245, -63618228, -99403493?
-143141040
What comes next: 9010, 18605, 28214, 37837, 47474, 57125, 66790?
76469
What comes next: 378263, 756521, 1134791, 1513079, 1891391, 2269733, 2648111, 3026531?
3404999
What comes next: 504760, 2019030, 4542812, 8076106, 12618912?
18171230
What comes next: -244824, -244994, -245164, -245334, -245504, -245674?
-245844
What is the next term in 13495, 31400, 49303, 67204?
85103
What comes next: 3135, 6285, 9447, 12627, 15831, 19065, 22335?
25647
What is next in 23344, 46740, 70214, 93766, 117396, 141104, 164890?
188754
What is the next term in 37728, 75043, 112358, 149673, 186988?
224303
What is next in -29277, -117156, -263687, -468924, -732921, -1055732?
-1437411
What is the next term in 3918458, 7836927, 11755396, 15673865?
19592334
What comes next: 33256, 133380, 300242, 533836, 834156, 1201196, 1634950?
2135412
What is next in 1177, 5584, 14521, 29290, 51193, 81532?
121609
What is next in 2567, 19970, 67229, 159278, 311051, 537482?
853505
What is next in 33275, 30442, 25729, 19136, 10663, 310?
-11923
What is next in 79297, 79398, 79571, 79816, 80133?
80522
What comes next: 77831, 155651, 233469, 311285, 389099, 466911, 544721?
622529
What comes next: 10522, 21068, 31648, 42286, 53006, 63832, 74788?
85898
What is the next term in -1608, -8202, -19212, -34656, -54552, -78918?
-107772
What is the next term in -4656, -19195, -43426, -77349?
-120964
What comes next: 5680, 45318, 152992, 362746, 708624, 1224670, 1944928?
2903442
What comes next: 20736, 43523, 66310, 89097, 111884?
134671
What is next in -449003, -897906, -1346809?
-1795712
What is the next term in 621, 2886, 6681, 12000, 18837?
27186
What is next in -18025, -18086, -18205, -18412, -18737, -19210, -19861, -20720?
-21817
What is the next term in 122, -1, -442, -1357, -2902, -5233, -8506?
-12877
What is next in -2075, -2647, -3219, -3791?
-4363
What comes next: -2014113, -4028222, -6042331, -8056440?
-10070549
What is next in 19551, 36741, 53931, 71121?
88311
What is next in -20100, -40212, -60324?
-80436
What is next in 16435609, 16435607, 16435601, 16435591, 16435577, 16435559, 16435537?
16435511
What is the next term in 1082, 1091, 1102, 1109, 1106, 1087, 1046, 977?
874
What comes next: -18622057, -18622055, -18622053, -18622051, -18622049?
-18622047
What is the next term in -299405, -299379, -299293, -299117, -298821, -298375?
-297749
What is next in -603213666, -603213667, -603213668, -603213669, -603213670?
-603213671
What is the next term in -1161, -603, -45, 513?
1071
What is next in 3922, 4263, 5226, 7123, 10266, 14967, 21538?
30291
What is the next term in -179381, -180672, -182825, -185840, -189717, -194456?
-200057
What is next in 539541, 1079078, 1618615, 2158152, 2697689, 3237226?
3776763
What is next in -80712307, -161424610, -242136913?
-322849216
What is next in 570, 350, 140, -54, -226?
-370
What is the next term in -5914787, -5914786, -5914785, -5914784?
-5914783
What is next in -800102541, -800102542, -800102543?
-800102544
What is next in 17954, 18322, 18690?
19058
What is next in -315575, -631155, -946735, -1262315, -1577895?
-1893475
What is the next term in -130267, -129952, -129427, -128692?
-127747
What comes next: -198520, -397033, -595546, -794059, -992572?
-1191085
What comes next: 65669, 65628, 65565, 65486, 65397, 65304, 65213, 65130?
65061
What is the next term in -7082, -5390, 13810, 59272, 139750, 263998?
440770
What is next in -11948, -27497, -43046, -58595, -74144, -89693?
-105242
What is next in -3455962, -6911884, -10367806, -13823728, -17279650?
-20735572
What comes next: 46279, 81672, 117065, 152458, 187851?
223244
What is the next term in -2976939, -2976928, -2976917, -2976906?
-2976895
What comes next: -27067, -216463, -730529, -1731595, -3381991, -5844047, -9280093?
-13852459
What comes next: 10282, 21016, 31750, 42484?
53218
What comes next: -9446, -12007, -14570, -17135, -19702, -22271?
-24842
What is next in 65090, 65041, 64910, 64655, 64234, 63605, 62726?
61555
What comes next: -483877, -483888, -483903, -483922, -483945, -483972?
-484003
What is next in 2269255, 4538496, 6807727, 9076942, 11346135, 13615300?
15884431
What is the next term in 2471, 9450, 20937, 36932?
57435
What is next in -245173, -490289, -735405, -980521, -1225637, -1470753?
-1715869
What comes next: 73, -181, -591, -1145, -1831, -2637, -3551, -4561?
-5655
What is next in 15888, 16085, 16454, 16995, 17708?
18593
What is next in -2008700, -4017414, -6026128, -8034842, -10043556?
-12052270
What comes next: -33850, -135373, -304578, -541465?
-846034
What comes next: 11543182, 11543157, 11543116, 11543059?
1154298
|
{
"pile_set_name": "DM Mathematics"
}
|
ded to the nearest 100?
0
Let r = 33226968 - 33227109.99941. Let v = 142 + r. Round v to four dps.
0.0006
Suppose -10 = -5*x - 30. Let h = x - -10. Let d be 2/4 + 423/h. Round d to the nearest 10.
70
Let m = -9 + 12. Let s = 0.5 - m. Let a = -2.4999978 - s. Round a to six dps.
0.000002
Let d = -49.22 + -78.64. Let l = 129 + d. What is l rounded to 1 dp?
1.1
Let k = -8.152 + -0.048. What is k rounded to the nearest integer?
-8
Let p = -4873741 + 4873692.999958. Let a = -48 - p. What is a rounded to five decimal places?
0.00004
Let u = 0.9 + -4.3. Let r = -18.4 - u. Let a = -15.0042 - r. What is a rounded to 3 decimal places?
-0.004
Let s = -578 + 1668. Round s to the nearest 100.
1100
Suppose 0*t = t - 18000. What is t rounded to the nearest 10000?
20000
Let y = 12.5949 + -13.795. Let s = 1.2 + y. Round s to 3 decimal places.
0
Let x(k) be the third derivative of -k**6/120 - 7*k**5/60 - k**4/12 + k**3 - k**2. Let j be x(-6). Let s = -10 - j. Round s to the nearest 10.
10
Suppose -d + 18801 = -h, -5*d + 4*h = 3*h - 94001. What is d rounded to the nearest 1000?
19000
Let h = 108 + -108.00000146. Round h to seven decimal places.
-0.0000015
Suppose 2*i - 35 = -3*l, 7*i - 25 = -l + 3*i. Let q = l + -34. Let f be (q/(-2) - 0)*32800. What is f rounded to the nearest 100000?
400000
Let f = -244.00000689 - -244. Round f to 7 dps.
-0.0000069
Let d = 62747 - 62746.00003. Let r = d - 1. Let w = 0 + r. What is w rounded to 5 decimal places?
-0.00003
Let i be 3/15 + 36/(-5). Let x be (-2)/(-7) + 4760002/i. What is x rounded to the nearest 100000?
-700000
Let r = -385.00000271 - -385. Round r to 7 decimal places.
-0.0000027
Let h = 153.000221 + -153. What is h rounded to five dps?
0.00022
Let j = 5.5 - 5. Let s = j + -33.5. Let v = 33.000054 + s. What is v rounded to 5 decimal places?
0.00005
Let x = 56 - 55.99932. What is x rounded to four dps?
0.0007
Let o = -63.999844 + 64. What is o rounded to four decimal places?
0.0002
Suppose 5*o - 4*h - 4 - 7 = 0, -3*h = -3*o + 9. Let j be 645/(o + (-18)/(-15)). Suppose 5*l + j = -5*x, 3*x = 4*l - 0*l + 2615. Round l to the nearest 100.
-700
Let w = 320 + -319.99999863. Round w to seven decimal places.
0.0000014
Let i(q) = q**2 + 5*q - 4. Let j be i(-6). Suppose 4*d - c = -d + 987, 3*d - j*c = 588. Let s = d + -140. Round s to the nearest ten.
60
Let d(y) = 750*y**2 - y + 4. Let k = -6 + 10. Let t be d(k). Round t to the nearest 10000.
10000
Suppose -2*l + 3*y - 480 = 694, -3*l - 1763 = -5*y. Let h = 1332 + l. Let q be (-1 + h)*(-920)/(-3). Round q to the nearest one hundred thousand.
200000
Suppose -3*r = -46 - 11. Suppose 0 = f - 2*f + 2*a - r, f = 3*a - 16. Let h be 1/5 + 77500005/f. What is h rounded to the nearest one million?
-3000000
Let l = 75704 + -53262. Let h = 22429.0095 - l. Let t = -13 - h. Round t to 3 dps.
-0.01
Let i = 67.6 + -61. Let x = 6.59999967 - i. Round x to seven dps.
-0.0000003
Suppose -2*t - 12342 = -4*g, -g + 3*t - 6175 = -3*g. Suppose -3*b + j = 3*j - g, -5*j - 2070 = -2*b. Round b to the nearest one hundred.
1000
Let q(d) = -13*d + 6. Let s be q(7). Suppose 78 - 232 = p. Let o = p - s. Round o to the nearest 10.
-70
Suppose 2*g = -c - 487, -3*g - 743 = c - 2*c. Let p be (g/4 - 1)*-1104. What is p rounded to the nearest 10000?
70000
Let m = -1.732 - -0.082. Let p = 6 - 7.2. Let x = m - p. Round x to one decimal place.
-0.5
Suppose 0 = -n + 5 - 1. Suppose 0 = -2*f - 6, -5*f - 64302024 = n*y + 14961195. Let b = y + 11515801. What is b rounded to the nearest 1000000?
-8000000
Let p = 758.67 + -764. Let m = -0.47 + p. What is m rounded to the nearest integer?
-6
Let l = 3756 - 3756.11993. Let c = l + 0.12. Round c to five decimal places.
0.00007
Let a = 72 - 74.99. Let p = 3 + a. Let k = -0.01000074 + p. Round k to seven dps.
-0.0000007
Suppose -81*b = -86*b + 6500. Round b to the nearest 100.
1300
Let q = -185 - 9. Let m = q + 194.00000117. What is m rounded to 7 dps?
0.0000012
Let c = 5 + -3. Suppose c*s - 14 = -148. Let u = s - -39. Round u to the nearest ten.
-30
Let z = -1.2 - 4.8. Let x = -6.007 - z. What is x rounded to three dps?
-0.007
Let j be (103/3)/((-8)/625080). Let n = j + 3982635. What is n rounded to the nearest 100000?
1300000
Let r = 29.946 + 0.054. Let j = r - 42.3. Round j to the nearest integer.
-12
Let q = 1 - 48. Let i = q + 46.49. What is i rounded to one dp?
-0.5
Let i = -1.948332 + -0.051818. Let v = 2 + i. Round v to four dps.
-0.0002
Suppose -3*m = -3*a - 26685, 4*a - 35620 = 2*m - 6*m. What is m rounded to the nearest one thousand?
9000
Suppose -4*r - 546777 = -3*w, -4*r - 911295 = -2*w - 3*w. Suppose w = -5*q - 28621. Let n = -82176 - q. What is n rounded to the nearest 10000?
-40000
Let t be (-14)/(-7) - 1*2251. Let f = 451 - t. Round f to the nearest 1000.
3000
Let u = -23 + 23.00000026. What is u rounded to 7 decimal places?
0.0000003
Let d = 0.3 - 0.30000008. What is d rounded to seven decimal places?
-0.0000001
Let f = 153 - 96. What is f rounded to the nearest ten?
60
Let i = 14.99976 - 15. Round i to 4 decimal places.
-0.0002
Let b be (1/(-2))/((-4)/(-8)). Let q be b*(-3 - 2)*1. Suppose 3115 = q*i - 0*i - 3*j, 0 = 3*j + 15. What is i rounded to the nearest one hundred?
600
Let m = 0.052 + 0.688. Let p = m - -39.26. Let r = p + -39.99999962. Round r to seven decimal places.
0.0000004
Let x = 9.92 - -0.08. Let t = 10.19 - x. What is t rounded to 1 dp?
0.2
Let o = -243 - -124. What is o rounded to the nearest ten?
-120
Let y = 0.54 - 0.844. What is y rounded to 2 decimal places?
-0.3
Let k(y) = -18*y**3 + 6*y**2 - 6*y. Let s be k(4). What is s rounded to the nearest 100?
-1100
Let w = -43.99999985 - -44. What is w rounded to seven dps?
0.0000002
Suppose 3*w - 3*o + 35 = o, 0 = -5*w - 5*o - 35. Let d be -2050003*(w/3 - -1). Suppose -m = -2*q - d, 4*q = m + 2*m - 12300012. Round m to the nearest 1000000.
4000000
Let s = 71567.12919 + -71566. Let u = 1.13 - s. Round u to 4 decimal places.
0.0008
Suppose 0*b = -3*b - 3. Let z be (1 - 0)*-3 - b. Let g(f) = -4450000*f. Let q be g(z). What is q rounded to the nearest 1000000?
9000000
Let i = -25223 - -25224.0999. Let w = -1.1 + i. What is w rounded to four dps?
-0.0001
Let f = -1789321378 + 1789321242.0000063. Let u = f + 136. Round u to 6 decimal places.
0.000006
Let l = 0.43 + -0.42999696. What is l rounded to 7 decimal places?
0.000003
Let w = 27 + -17. Suppose -880000 = 9*v - w*v. What is v rounded to the nearest 100000?
900000
Let w be 5000/(-6)*(0 - 636). What is w rounded to the nearest one hundred thousand?
500000
Let c = -49651228983628 + 49651200261269.399903. Let h = -28722346 - c. Let j = h - 12.6. What is j rounded to five decimal places?
0.0001
Let i = 7510444.499848 + -5152149.49983. Let a = i - 2358285. Let m = a + -10. What is m rounded to five decimal places?
0.00002
Let k = -40.6 - -40.787. Round k to 2 decimal places.
0.19
Let p be (-2 + 29930)*4/(-6). Let n = p + 9072. Let v be (n/12)/(4/(-2250)). What is v rounded to the nearest 100000?
500000
Let x = -33128 + 172298. Let i = x - 139083.103. Let u = 87 - i. What is u rounded to two dps?
0.1
Let k = 0.0376 - -22.0124. Let j = k + -0.05. Let l = 13.8 - j. Round l to 0 decimal places.
-8
Let z = -12.0999802 + 12.1. What is z rounded to six decimal places?
0.00002
Let g = -36 + 35.99975. Round g to four dps.
-0.0003
Let p = -4974.43 - -21.43. Let n = 4952.8001 + p. Let u = n + 0.2. Round u to 5 decimal places.
0.0001
Let q = -135 + 137.94. Let c = -3 + q. Round c to two decimal places.
-0.06
Let p = -6867 + 6923.94. Let q = 58 - p. Round q to one dp.
1.1
Let u be -20*2/(2 + -4). Round u to the nearest 10.
20
Let v(s) = -32*s**2 - 2*s + 12. Let h be v(-8). What is h rounded to the nearest one hundred?
-2000
Let p = 0 + 4. Suppose 3*u + 0*u = p*h + 1842, 3*u - h - 1833 = 0. What is u rounded to the nearest 100?
600
Let b = -788 - -438. Let n = b - -349.9697. What is n rounded to three dps?
-0.03
Let x = 105.00284 - 105. What is x rounded to four dps?
0.0028
Let h = 2068 - 2080.99. Let y = 12 + h. What is y rounded to one decimal place?
-1
Let y be (30/25)/((-12)/97000). Round y to the nearest 1000.
-10000
Let h be ((-2)/3)/(4/(-36)). Suppose -g + 19 + 14 = 0. Let u = h - g. Round u to the nearest ten.
-30
Let u be 539996/(-6) - 8/12. Round u to
|
{
"pile_set_name": "DM Mathematics"
}
|
Let y(p) be the first derivative of -26*p + 25 - 21/2*p**2. Differentiate y(k) wrt k.
-21
Suppose 3*r - 6*r = 18. Let z be 57/11 + r/33. What is the third derivative of -5*l**2 + l**2 + 0*l**z - l**5 wrt l?
-60*l**2
Let c(b) = 3*b**3 + 2*b + 1. Let m(u) = 29*u**5 + 9*u**3 + 198*u + 3. Let r(t) = -15*c(t) + 5*m(t). Find the second derivative of r(o) wrt o.
2900*o**3
Let v be (1 + -3)*(7/(-2) - 2). What is the first derivative of 14 - j**3 + v - 5 wrt j?
-3*j**2
Find the third derivative of -250*f + 250*f - 7*f**2 - 69*f**6 wrt f.
-8280*f**3
What is the third derivative of -5*g**2 + g**3 + 2 + 7*g**3 - 7*g**3 - 6*g**2 wrt g?
6
Let a be ((5 - 33/6) + 0)*0. Let k(l) be the first derivative of -10/3*l**3 + a*l**4 + 0*l + 11/5*l**5 + 0*l**2 - 10. Find the third derivative of k(d) wrt d.
264*d
Let w = 2 + -1. Let p(i) = 9*i + 2. Suppose 0*a + 27 = -9*a. Let l(m) = m + 1. Let y(j) = a*l(j) + w*p(j). Differentiate y(s) wrt s.
6
Let g(p) be the third derivative of 16*p**9/63 + p**6/60 + 53*p**5/60 - 101*p**2 - 1. Find the third derivative of g(r) wrt r.
15360*r**3 + 12
Let a(l) be the first derivative of 19*l**6/3 - 12*l**2 + 83. What is the second derivative of a(j) wrt j?
760*j**3
Suppose -4 + 0 = 4*i + 4*d, 5*i = -2*d + 7. Find the second derivative of -i + 8 + 41*b**2 + b - 5 wrt b.
82
Let a(k) = 2*k**2 + 186*k + 4. Let z(i) = -i**3 - i**2 - 1. Let t(d) = a(d) + 4*z(d). What is the third derivative of t(c) wrt c?
-24
Let q(n) = -n**3 + 4*n**2 - 62*n. Let i(l) = l**3 + l. Let k(t) = 4*i(t) + q(t). What is the second derivative of k(v) wrt v?
18*v + 8
Suppose -5*m + 21 = 1. Let t be (74 - -5) + (-7 - (-4 - -2)). Differentiate 0*w**3 + t*w**4 - 77*w**4 + 0*w**3 - m wrt w.
-12*w**3
Suppose -17*o + 40 = -62. Let q(y) be the first derivative of 0*y**4 - 1 - 5/6*y**o + 0*y + 0*y**2 - 4/3*y**3 + 0*y**5. Find the third derivative of q(g) wrt g.
-300*g**2
Let x(a) be the second derivative of 3*a**8/14 - a**5/20 - 2*a**4/3 - a**3/2 - 3*a - 27. Find the third derivative of x(c) wrt c.
1440*c**3 - 6
Suppose k - 14 = -k. Differentiate 10 - 4*d**2 + 32*d**4 + k*d**2 - 3*d**2 with respect to d.
128*d**3
What is the derivative of -45*x**2 - 43 - 5*x**2 - 36 - 14*x**2 wrt x?
-128*x
Let n be ((-16)/(-10))/4 + 38/(-95). Let f(y) be the first derivative of 0*y**4 + 2/5*y**5 - y + n*y**3 + 0*y**2 - 2. What is the derivative of f(o) wrt o?
8*o**3
Let b(s) = -s**3 + 11*s**2 - 11*s + 8. Let m be b(10). Let r be 0 + m + 3 + 2. What is the second derivative of -7 + 3 + r*t**3 + 4 + 4*t wrt t?
18*t
Let m(t) = -110*t - 104. Let n(f) = 221*f + 209. Let c(k) = 5*m(k) + 3*n(k). Differentiate c(w) with respect to w.
113
Let l(v) = -30*v + 39. Let a be (2/2)/(6/12). Let c(s) = -8 + 8*s + 0 - a*s + 0*s. Let i(x) = -24*c(x) - 5*l(x). Differentiate i(r) wrt r.
6
Let z(o) be the third derivative of 313*o**5/60 - 145*o**4/24 + o**3/6 + 84*o**2. Find the second derivative of z(q) wrt q.
626
Let y be 5*((-2 - -5) + -2). Suppose -3*c = 4*t - y, 0*c = 5*t + 5*c - 5. What is the second derivative of 6*u - 58*u**2 + 2*u**3 + 58*u**t wrt u?
12*u
Let x(j) = j**6 + j**5 - j**4 - j + 2. Let n(u) = 223*u**6 + u**5 - u**4 - 21*u**2 - u + 4. Let i(h) = n(h) - x(h). Find the third derivative of i(q) wrt q.
26640*q**3
Let v = -2 + 7. Suppose f + 3*f + 2*j - 16 = 0, 30 = 3*f - 3*j. What is the second derivative of 2*x**v - 6*x - 2*x**5 - f*x**5 wrt x?
-120*x**3
Let m(y) = 3*y**2 - 2*y + 1. Let g be m(-7). Let h be (-20)/(-6)*g/45. Find the second derivative of -12 + h - 5*a + 2*a**2 wrt a.
4
Let s(i) be the second derivative of -i**6/15 - 10*i**4/3 + 25*i**2 + 61*i. What is the first derivative of s(x) wrt x?
-8*x**3 - 80*x
Let b(l) be the third derivative of -19/60*l**5 + 0*l**3 - 24*l**2 + 0*l + 13/120*l**6 + 0 + 0*l**4. Find the third derivative of b(z) wrt z.
78
Let x(i) be the first derivative of 0*i - 14/3*i**3 - 11/2*i**2 - 11. What is the second derivative of x(s) wrt s?
-28
Find the second derivative of -1320*h**2 + 110*h - 506*h - 415*h**5 + 2 + 1320*h**2 wrt h.
-8300*h**3
Suppose s - 22 = -4*b, 0 = -s - 7*b + 4*b + 17. Find the third derivative of 18*x**s + 10*x**2 - 20*x**5 + 18*x**2 - 39*x**2 wrt x.
-1200*x**2
Let v(h) be the third derivative of 0*h - 4/105*h**7 + 0*h**5 + 0*h**3 + 10*h**2 + 0 - 1/24*h**4 + 0*h**6. What is the second derivative of v(o) wrt o?
-96*o**2
Suppose -11*h + 6 = -8*h. Suppose -h*f = -0*j - 4*j + 12, 0 = 2*f + 4*j - 12. What is the second derivative of -68*a**2 + f*a + 58*a**2 - 2*a wrt a?
-20
Let u(j) = -3*j**2 - 24*j - 11. Let l(h) = -h. Let c(r) = 3*l(r) + u(r). Let s(w) be the first derivative of c(w). Find the first derivative of s(b) wrt b.
-6
Find the second derivative of 69*g + 229527 + g**3 + 7*g**3 - 229525 + 23*g**2 wrt g.
48*g + 46
Let r(h) = -h**3 - h**2 + 2*h. Let y(j) = -585*j**4 - j**3 + 154*j**2 + 2*j. Let m(b) = r(b) - y(b). Find the third derivative of m(u) wrt u.
14040*u
Let k(t) = -t**3 + t**2 + t. Let s(a) = 7*a**3 - 5*a**2 - 7*a - 100. Let g(r) = -5*k(r) - s(r). Differentiate g(c) with respect to c.
-6*c**2 + 2
Let m = 141 + -139. What is the derivative of -39*w**3 + 24 + 47*w**2 - 47*w**2 + m*w**3 wrt w?
-111*w**2
Let y(c) be the third derivative of 0*c**5 + 0*c + 0*c**4 + c**2 - 1/105*c**7 + 0 + 11/6*c**3 + 0*c**6. Find the first derivative of y(p) wrt p.
-8*p**3
Let b(a) = -3*a**2 + 131. Let l(j) = 4*j**2 - 129. Let m(w) = -6*b(w) - 5*l(w). Find the first derivative of m(o) wrt o.
-4*o
What is the second derivative of 83*i**5 - 2*i**2 - 5*i**2 - 2*i**2 + 321*i - 87*i**5 + i**2 wrt i?
-80*i**3 - 16
Differentiate 2*s + 23*s**4 + 16*s**3 + 199 + 21*s**3 - 37*s**3 with respect to s.
92*s**3 + 2
Let b(c) be the first derivative of -3*c**4 - 67*c - 22. Find the first derivative of b(q) wrt q.
-36*q**2
Suppose -3*l - 25 = -7. Let g be l/8 + (-38)/(-8). Find the third derivative of -2*h**2 + 4*h**2 + g*h**3 - 2*h**2 + 2*h**2 wrt h.
24
Let p(u) be the second derivative of -250*u**3/3 - 85*u**2/2 + 3*u - 4. Differentiate p(c) with respect to c.
-500
Let u(p) be the first derivative of -23/3*p**3 + 36 + 6*p**2 + 0*p. Find the second derivative of u(d) wrt d.
-46
Suppose 2*j + 0*j - 6 = 0. Suppose 0*h - 22 = -2*t - 2*h, 0 = t + j*h - 19. What is the derivative of -3 + 0*u**3 - 4*u + t*u**3 + 4*u wrt u?
21*u**2
Let n = -147 + 149. Let y = 5 + -3. Differentiate -u**2 - 2*u**n - y + 2*u**2 - 1 wrt u.
-2*u
Let g(w) be the second derivative of -3*w**7/14 - 9*w**5/20 + 2*w**3 - 25*w**2/2 - 284*w. What is the second derivative of g(l) wrt l?
-180*l**3 - 54*l
Let l = -13 + 22. Find the third derivative of -10*u**2 + l*u**2 - 4*u**3 + 8*u**2 wrt u.
-24
Let m(w) = -w**3 + 7*w**2 - 7*w + 9. Let t be m(6). Let l be t - (-2 - (3 + -6)). What is the third derivative of -l*h**3 - 4*h**2 - 2*h - 7*h**3 + 2*h wrt h?
-54
Find the second derivative of 6*t**4 + 72*t + 114*t - 143*t + 8*t**2 wrt t.
72*t**2 + 16
Let j = 26 - 24. What is the third derivative of -6*l**3 - 7*l**3 + 6*l**2 + l**j wrt l?
-78
Let o(b) = -44*b**2 - 14*b + 771. Let g(r) = -15*r**2 - 5*r + 257. Let k(w) = -11*g(w) + 4*o(w). Find the first derivative of k(a) wrt a.
-22*a - 1
Suppose o + 41 = 2*m, -3*m - 97 = -7*m + 5*o. What is the second derivative of -21*j + 27*j + 37*j - m*j**3 wrt j?
-108*j
Let o(n) = -19*n**3 - 2*n + 10. Let c(m) = -12 + 1 - 9*m + 18*m**3 + 12*m. Let y(w) = -2*c(w) - 3*o(w). What is the first derivative of y(r) wrt r?
63*r**2
Let k(g) be the third derivative of 27*g**4/2 - 305*g**3/6 + 9*g**2 - 5*g. Differentiate k(o) with respect to o.
324
Let s(n) = -n**3 - 2*n**2 + 4. Let p(t) = 307*t**3 + 91*t**2 - 9. Let k(b) = p(b) + 3*s(b). What is the third derivative of k(c) wrt c?
1824
Let f(s) = -30*s**3 - 46*s. Let q(g) = g**3 + g. Let m(w) = 3*f(w) + 21*q(w). Find the second derivative of m(l) wrt l.
-414*l
Let u(j) = 7 - 2*j - 3*j**2 + 3*j**2 + 2*j**2 + 2*j**2. Let g(x) = 5*x**2 - 3*x + 8. Let p(a) = 2*g(a) - 3*u(a). Differentiate p(v) wrt v.
-4*v
Suppose 0 = -6*a + 487 + 365. Differentiate 16 + 146*q**3 - a*q**3 + 22 wrt q.
12*q**2
Differentiate -9*k**3 + 64*k**3 + 262 - 44 - 2*k**2 wrt k.
165*k**2 - 4*k
Find the second derivative of -124*b**2 + 239*b**2 - 194*b**2 - 19*b wrt b.
-158
Let f = 8/3 + -7/3. Let g(o) be the third derivative of -1/60*o**6 + f*o**3 + 0*o**4 + 0*o**5
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest integer?
3
What is 195948 to the power of 1/4, to the nearest integer?
21
What is 4820251 to the power of 1/3, to the nearest integer?
169
What is 1838670 to the power of 1/6, to the nearest integer?
11
What is 112344 to the power of 1/3, to the nearest integer?
48
What is the seventh root of 3903239 to the nearest integer?
9
What is the sixth root of 4529383 to the nearest integer?
13
What is the eighth root of 53320 to the nearest integer?
4
What is the ninth root of 79319 to the nearest integer?
4
What is the square root of 7434895 to the nearest integer?
2727
What is the ninth root of 84190 to the nearest integer?
4
What is 21216 to the power of 1/2, to the nearest integer?
146
What is the cube root of 1198417 to the nearest integer?
106
What is 151428 to the power of 1/8, to the nearest integer?
4
What is 13638510 to the power of 1/2, to the nearest integer?
3693
What is the square root of 839104 to the nearest integer?
916
What is 1697936 to the power of 1/3, to the nearest integer?
119
What is the ninth root of 2120742 to the nearest integer?
5
What is 162853 to the power of 1/2, to the nearest integer?
404
What is the third root of 485593 to the nearest integer?
79
What is 1578794 to the power of 1/6, to the nearest integer?
11
What is 2134694 to the power of 1/7, to the nearest integer?
8
What is the square root of 9635713 to the nearest integer?
3104
What is the fifth root of 5362268 to the nearest integer?
22
What is 19873725 to the power of 1/7, to the nearest integer?
11
What is the sixth root of 1172580 to the nearest integer?
10
What is the eighth root of 611090 to the nearest integer?
5
What is the square root of 522166 to the nearest integer?
723
What is 209229 to the power of 1/4, to the nearest integer?
21
What is 1221786 to the power of 1/5, to the nearest integer?
16
What is 3494973 to the power of 1/3, to the nearest integer?
152
What is 3809477 to the power of 1/2, to the nearest integer?
1952
What is the fifth root of 22965776 to the nearest integer?
30
What is 5849196 to the power of 1/5, to the nearest integer?
23
What is 551674 to the power of 1/2, to the nearest integer?
743
What is 294610 to the power of 1/5, to the nearest integer?
12
What is 5920860 to the power of 1/2, to the nearest integer?
2433
What is the cube root of 180624 to the nearest integer?
57
What is 7446234 to the power of 1/2, to the nearest integer?
2729
What is 284621 to the power of 1/2, to the nearest integer?
533
What is the square root of 31751056 to the nearest integer?
5635
What is the eighth root of 5320629 to the nearest integer?
7
What is the eighth root of 3846796 to the nearest integer?
7
What is 57514 to the power of 1/2, to the nearest integer?
240
What is 302707 to the power of 1/5, to the nearest integer?
12
What is the cube root of 22158633 to the nearest integer?
281
What is 17019783 to the power of 1/6, to the nearest integer?
16
What is 145331 to the power of 1/2, to the nearest integer?
381
What is 106015 to the power of 1/6, to the nearest integer?
7
What is the third root of 1472795 to the nearest integer?
114
What is the cube root of 3170501 to the nearest integer?
147
What is 1528264 to the power of 1/9, to the nearest integer?
5
What is 747598 to the power of 1/6, to the nearest integer?
10
What is 5796888 to the power of 1/2, to the nearest integer?
2408
What is the third root of 772317 to the nearest integer?
92
What is the seventh root of 1340717 to the nearest integer?
8
What is the cube root of 2847803 to the nearest integer?
142
What is 1631778 to the power of 1/10, to the nearest integer?
4
What is the ninth root of 881646 to the nearest integer?
5
What is 907877 to the power of 1/3, to the nearest integer?
97
What is 168342 to the power of 1/6, to the nearest integer?
7
What is the square root of 1884131 to the nearest integer?
1373
What is the square root of 501763 to the nearest integer?
708
What is 477474 to the power of 1/7, to the nearest integer?
6
What is 1032770 to the power of 1/2, to the nearest integer?
1016
What is the fifth root of 1229984 to the nearest integer?
17
What is the square root of 7831024 to the nearest integer?
2798
What is 125871 to the power of 1/2, to the nearest integer?
355
What is the eighth root of 236856 to the nearest integer?
5
What is the eighth root of 319186 to the nearest integer?
5
What is 142176 to the power of 1/2, to the nearest integer?
377
What is 2623232 to the power of 1/4, to the nearest integer?
40
What is the third root of 229723 to the nearest integer?
61
What is 1415816 to the power of 1/2, to the nearest integer?
1190
What is the square root of 9491964 to the nearest integer?
3081
What is the square root of 11484676 to the nearest integer?
3389
What is the sixth root of 26488756 to the nearest integer?
17
What is the square root of 31378413 to the nearest integer?
5602
What is 961116 to the power of 1/7, to the nearest integer?
7
What is the third root of 39537 to the nearest integer?
34
What is 4341494 to the power of 1/10, to the nearest integer?
5
What is the square root of 8726325 to the nearest integer?
2954
What is 3715378 to the power of 1/6, to the nearest integer?
12
What is the square root of 147538 to the nearest integer?
384
What is the square root of 2279466 to the nearest integer?
1510
What is the square root of 4638566 to the nearest integer?
2154
What is the seventh root of 2349127 to the nearest integer?
8
What is the cube root of 528928 to the nearest integer?
81
What is the third root of 3848025 to the nearest integer?
157
What is 529260 to the power of 1/2, to the nearest integer?
728
What is the square root of 4833468 to the nearest integer?
2199
What is the third root of 16717 to the nearest integer?
26
What is the sixth root of 70081 to the nearest integer?
6
What is 3280 to the power of 1/2, to the nearest integer?
57
What is 1046367 to the power of 1/2, to the nearest integer?
1023
What is the cube root of 1623402 to the nearest integer?
118
What is the third root of 490838 to the nearest integer?
79
What is 11689570 to the power of 1/10, to the nearest integer?
5
What is 124357 to the power of 1/2, to the nearest integer?
353
What is 396327 to the power of 1/9, to the nearest integer?
4
What is 6570092 to the power of 1/3, to the nearest integer?
187
What is 415325 to the power of 1/10, to the nearest integer?
4
What is 4543030 to the power of 1/2, to the nearest integer?
2131
What is the cube root of 520511 to the nearest integer?
80
What is the third root of 31653135 to the nearest integer?
316
What is the ninth root of 1013386 to the nearest integer?
5
What is the ninth root of 7361031 to the nearest integer?
6
What is the ninth root of 538788 to the nearest integer?
4
What is 828775 to the power of 1/3, to the nearest integer?
94
What is 295759 to the power of 1/2, to the nearest integer?
544
What is the seventh root of 1066990 to the nearest integer?
7
What is the cube root of 9197141 to the nearest integer?
210
What is 8211458 to the power of 1/3, to the nearest integer?
202
What is 1806016 to the power of 1/4, to the nearest integer?
37
What is 1534647 to the power of 1/5, to the nearest integer?
17
What is 850519 to the power of 1/10, to the nearest integer?
4
What is the seventh root of 22370922 to the nearest integer?
11
What is the tenth root of 267137 to the nearest integer?
3
What is 794920 to the power of 1/9, to the nearest integer?
5
What is 127856 to the power of 1/7, to the nearest integer?
5
What is 410096 to the power of 1/2, to the nearest integer?
640
What is the third root of 4966686 to the nearest integer?
171
What is 16632660 to the power of 1/5, to the nearest integer?
28
What is the tenth root of 1914091 to the nearest integer?
4
What is 1223157 to the power of 1/10, to the nearest integer?
4
What is 7621321 to the power of 1/7, to the nearest integer?
10
What is the square root of 178863 to the nearest integer?
423
What is 6230719 to the power of 1/3, to the nearest integer?
184
What is 128542 to the power of 1/3, to the nearest integer?
50
What is the cube root of 27668 to the nearest integer?
30
What is 341223 to the power of 1/2, to the nearest integer?
584
What is the cube root of 4038223
|
{
"pile_set_name": "DM Mathematics"
}
|
(-3))/m. Suppose 40 = 5*l - b*l. Calculate the least common multiple of l and 9.
72
Let u(q) = 548*q**3 - 2*q**2 + 3*q - 4. Let k be u(3). Let c = k + -354895/24. Let f = 359/175 + 1/50. What is the common denominator of c and f?
168
Suppose u = 2*z + 15, 9 = -2*z - 1. Suppose 2*d - p + 96 = -5*p, 2*d + 78 = u*p. What is the common denominator of -9/4 and 3 - (-2 - 210/d)?
44
Let v = -1 - -1. Suppose v = 3*f + 2 + 4. What is the common denominator of 250/28 + -3 + f and 7/16?
112
Let l = -126 - -262. Calculate the lowest common multiple of 28 and l.
952
What is the common denominator of ((-144)/35)/(-4) - (-34 - -35) and 61/245?
245
Let a = 635875/14 + -45363. Let d = a - 398/7. What is the common denominator of d and (90/(-2000)*68)/(6/5)?
140
Suppose 6*n + 9093 = -3195. Let u = 22562/11 + n. Find the common denominator of u and -25/7.
77
Let k = -213 + 219. Calculate the lowest common multiple of k and 530.
1590
Let o = -1021/6 + 169. What is the common denominator of o and 2/(16/(-34))*83/1079?
156
Let g(p) = 2 - 3*p**2 - 4*p**3 - 3*p**2 + 5*p**3. Let b = -22 + 28. What is the smallest common multiple of g(b) and 8?
8
Let i = -9/278 - 3522/695. Let s = 3270 + -19547/6. Calculate the common denominator of s and i.
30
Let y be (3 - 303/99)/((-165)/18). Let t = -21419/36905 + y. Find the common denominator of t and 33/10.
610
Let b be (0 + (-436)/8)*-2. Let u be (b/(-55))/(224/(-725)). Let g = u + 5/352. Calculate the common denominator of g and -95/6.
42
Let d = 3 - 1. Suppose 3*r = -d*r + 13505. Let q = -29684/11 + r. Find the common denominator of q and 91/2.
22
Let q = 323548/77 + -4202. What is the common denominator of 93/98 and q?
1078
Let x be ((-18)/10)/(-3)*-35. Calculate the least common multiple of 2/7 + (-15)/x and 7.
7
Suppose 7*o = 8*o + 9. Suppose -4*a = -12, -l = a - 3*a - 10. Let r = o + l. What is the smallest common multiple of 3 and r?
21
Let k(o) = o. Let c be k(-4). Calculate the least common multiple of (3/(-3))/(-5 - c)*30 and 21.
210
Calculate the common denominator of ((-3939)/819)/(2/(-7)) and ((-2)/36)/((-4)/906).
12
Let c = -25 + -38. Let n be (-76)/(-3 - 183/c). What is the common denominator of 2/12 - (-3173)/n and -39/5?
35
Suppose -16*o - 6 = -22. What is the least common multiple of 4 and o?
4
Suppose 0 = -3*b + 3478 + 902. Suppose -9*n + 14*n + b = 0. What is the common denominator of 63/2 and (0 + 1)*n/36?
18
Let l = 3080 + -2976. What is the least common multiple of l and 156?
312
Suppose -2725 = -29*f + 697. Calculate the smallest common multiple of 78/5 + (-2)/(-5) and f.
944
Let n = 217 + -162. What is the lowest common multiple of n and 10?
110
Let x be 44/7 - (-4)/(-14). Suppose 0 = 4*b - v - 6, -x = -b + 2*b - 4*v. Calculate the lowest common multiple of b and 0/4 - 10/(-1).
10
Calculate the common denominator of (-402)/15*(2 + (-1355)/680) and 43/7.
2380
Let z = 2231/1335 - 2/445. Let a(r) = -2*r + 48. Let x be a(14). Calculate the common denominator of z and (-4)/x*13*1 - 2.
15
Suppose -2*y - 4*l - 1 = -y, 3*y - 2*l - 11 = 0. Let k(b) = -b**2 - 14*b + 39. Calculate the least common multiple of k(-16) and y.
21
Find the common denominator of (-11)/6*4658/(-374) and -107/52.
156
Let j(a) = a + 5. Let m be j(-5). Suppose 13*z - 65 - 13 = m. Calculate the smallest common multiple of z and 39.
78
Suppose 0 = 14*u - 22*u + 33240. Let n = -10610185 + 169829359/16. Let g = u - n. What is the common denominator of g and 35/6?
48
Let t = 2159/826 - 5/118. Let q be (69/(-15) - -1)*2/10. Let d = -27/275 + q. What is the common denominator of t and d?
77
Let j = -2230801124788501/86620 + 25753880452. Let a = -69/1420 + j. What is the common denominator of a and -149/6?
366
Let q(f) = 3*f**2 + 15*f - 50. Calculate the least common multiple of q(4) and 10.
290
Let h = 135 + -54. Suppose -3*p + h = p + 3*b, p - 3*b = 9. What is the least common multiple of p and 22?
198
Let a = -448 - -712. Calculate the smallest common multiple of 27 and a.
2376
Let f(q) = -3*q + 7*q**2 + q**2 - 17*q**2 + 8*q**2 + 12. Calculate the smallest common multiple of 24 and f(0).
24
Let a = 10083/7 - 1445. Calculate the common denominator of 327/156 - 82/(-533) and a.
28
Suppose 8*z - 12 = 4*z. Let d = 66 - 59. What is the smallest common multiple of z and d?
21
Let d = -129 + 348. Let q = -753/14 - -54. Calculate the common denominator of (1/12)/(2/d) and q.
56
Suppose 1 = -c + 2*s, 19 = -3*c + 6*c + 5*s. Let b be (-2 - -1)/(c/165). Let r = -27 - b. What is the lowest common multiple of 22 and r?
308
Let v be 2/8 + 209*(-11)/(-4). Let w = v - 4651/8. Find the common denominator of ((-1)/(-4))/(8/(-18)) and w.
16
Let f = 125943/20 + -6301. What is the common denominator of -151/336 and f?
1680
Suppose 3*h - 5*u - 9 = 0, -h + u + 3 = 4*u. Suppose -2*r + 25 = 3*l, 2*r + 4*l - h*l = 19. Calculate the lowest common multiple of r and 28.
56
Let j be 3*-1*(42/(-9) - 2). Let d(x) = -x**3 + 19*x**2 + 21*x - 14. Let m = 0 + 1. Calculate the smallest common multiple of m and d(j).
6
Let b = 3439/310 + -688/31. Find the common denominator of b and -5/108.
540
Let g = 50 - 44. Suppose 0*w + 132 = g*w. What is the lowest common multiple of w and 12?
132
Let k be (9/(-12))/(3/3288). Let l = -14815/18 - k. Calculate the common denominator of -2 + 2 - (-49)/6 and l.
18
What is the common denominator of ((-2)/66)/(79/(-80) + 1) and -26/15?
165
What is the common denominator of 167/90 and (1/(-3) - (-26)/75)*-37?
450
Let v = 32 - 30. Let p(m) = 3*m**2 + 2. Calculate the least common multiple of v and p(-2).
14
Suppose 7 = -5*u + 27. Suppose -u*a = 4*o - 20, a = 3*o - 3 - 4. Let p(d) = -d**3 - 4*d**2 + 12*d + 6. Calculate the smallest common multiple of p(-6) and o.
6
Let t be (460/(-598))/((-1)/(531/(-16))). Let v be (-1)/((-208)/(-6)) + 0. Let l = t - v. Find the common denominator of l and 59/7.
14
Let o = -1645 - -1736. What is the least common multiple of 247 and o?
1729
Let c be ((-12)/(-16))/((-1)/(-20)). Find the common denominator of 1/8 + 1 + 2 and ((-201)/9)/((-50)/c).
40
Suppose -3*i + 0*i = -150. Calculate the least common multiple of 7 - (-4 - (7 + -6)) and i.
300
Let z = 243 - 239. Suppose -v + 2*k = -36, -v - 144 = -5*v + 5*k. What is the lowest common multiple of v and z?
36
Let w(v) be the first derivative of -2*v**3/3 - 17*v**2/2 - 6*v + 17. Calculate the least common multiple of w(-8) and 16.
16
Let f = 78177 + -6019523/77. Let v = f - 2/7. Let l = 11241/4 - 2788. Calculate the common denominator of v and l.
44
Let y be (-4)/(-16) + (0 - (-14)/8). Suppose -6*x + 80 = -y*x. Suppose -5*b + b + 16 = 0. Calculate the least common multiple of b and x.
20
Suppose -4*f = -5*k - 890, -3*k - 4*f - 748 = k. Let z = 22 + -31. Calculate the lowest common multiple of 22 and 2/(-9) + k/z.
220
Let c = -10 - -13. Suppose -3*b - 6 = -c*l - 0*l, -5*b + l = -6. What is the common denominator of 1 + b + (-87)/(-18) and 143/6?
6
Let s be 8/3*705/4. Suppose 4*o + 5*p + s = -1192, -2*o = -p + 824. What is the common denominator of (o/14)/(18/(-4)) and -17?
9
Let m be (-6)/6 - 2*452. Let s = m - -1873/2. Find the common denominator of (-134)/20 + (-114)/30 + 4 and s.
2
Suppose 86 = 4*v + 2*i, -2*v = -5*i - 23 - 14. Let u = 33 - v. Calculate the least common multiple of 21 and u.
84
Let x(m) = 2*m + 240. What is the lowest common multiple of 45 and x(20)?
2520
Find the common denominator of -63/4 and (4 - 153/60) + (-2)/(-10).
20
Suppose 35 = 19*f - 79. Suppose 3*m = 2*m + 6. Let r(k) = k**2 - 3*k - 4. What is the lowest common multiple of r(m) and f?
42
Let h = -13 - -16. Suppose 5*w + 2*v = h*w + 22, 38 = 3*w - 2*v. What is the least common multiple of w and 26?
156
Let o(i) = i - 6. Let s be o(8). Suppose -s*d - 5*z + 15 = 0, -2*z + 11 = d - 3*z. Calculate the lowest common multiple of 6 and d.
30
Let x(v) = -2*v**3 - 3*v**2 + 8*v + 14. Let j be x(-4). Let i = 73 - j. Calculate the lowest common multiple of 16 and i.
176
Let c(y) = y**2 - 2*y - 2. Let i be c(2). What is the common denominator of i - (-4)/(160/(-235)) and 113/14?
56
Suppose 2*f = -5*g + g - 214, 2*f = g + 66. Find the common denominator of (-658)/g - (-1 + 1) and -37/44.
44
Let a = 32079 - 577277/18. What is the common denominator of 2/(-4) + (-62)/(-48) and a?
72
Let n be 6/(-2) + 65148
|
{
"pile_set_name": "DM Mathematics"
}
|
er?
12
What is 23485518 to the power of 1/4, to the nearest integer?
70
What is 287889561 to the power of 1/2, to the nearest integer?
16967
What is 4472672026 to the power of 1/3, to the nearest integer?
1648
What is 45710339 to the power of 1/2, to the nearest integer?
6761
What is 457820831 to the power of 1/2, to the nearest integer?
21397
What is 111932166 to the power of 1/2, to the nearest integer?
10580
What is the square root of 118968465 to the nearest integer?
10907
What is 158822575 to the power of 1/3, to the nearest integer?
542
What is 656192802 to the power of 1/6, to the nearest integer?
29
What is 108554155 to the power of 1/2, to the nearest integer?
10419
What is the square root of 376430615 to the nearest integer?
19402
What is the square root of 26743404 to the nearest integer?
5171
What is the fourth root of 212227943 to the nearest integer?
121
What is 893831567 to the power of 1/3, to the nearest integer?
963
What is 463212999 to the power of 1/2, to the nearest integer?
21522
What is 146626339 to the power of 1/2, to the nearest integer?
12109
What is 3357219447 to the power of 1/2, to the nearest integer?
57942
What is the third root of 191516880 to the nearest integer?
576
What is the sixth root of 2128934563 to the nearest integer?
36
What is 185547996 to the power of 1/2, to the nearest integer?
13622
What is 47392406 to the power of 1/3, to the nearest integer?
362
What is the eighth root of 239628481 to the nearest integer?
11
What is 51172949 to the power of 1/2, to the nearest integer?
7154
What is the square root of 303661580 to the nearest integer?
17426
What is the tenth root of 3115076037 to the nearest integer?
9
What is 17114031 to the power of 1/2, to the nearest integer?
4137
What is 158986810 to the power of 1/10, to the nearest integer?
7
What is the square root of 10613812 to the nearest integer?
3258
What is the third root of 2774675447 to the nearest integer?
1405
What is the square root of 8824509393 to the nearest integer?
93939
What is 251848897 to the power of 1/2, to the nearest integer?
15870
What is the third root of 149133561 to the nearest integer?
530
What is the square root of 1300212181 to the nearest integer?
36058
What is 2307793660 to the power of 1/6, to the nearest integer?
36
What is 508655483 to the power of 1/7, to the nearest integer?
18
What is 215000689 to the power of 1/2, to the nearest integer?
14663
What is the fifth root of 1665258764 to the nearest integer?
70
What is 1102285570 to the power of 1/9, to the nearest integer?
10
What is the sixth root of 176162606 to the nearest integer?
24
What is 1210935796 to the power of 1/2, to the nearest integer?
34799
What is the tenth root of 1898141872 to the nearest integer?
8
What is the sixth root of 1750506873 to the nearest integer?
35
What is the square root of 5743870 to the nearest integer?
2397
What is 1433959432 to the power of 1/2, to the nearest integer?
37868
What is 3324359632 to the power of 1/2, to the nearest integer?
57657
What is 98283774 to the power of 1/2, to the nearest integer?
9914
What is the cube root of 173406584 to the nearest integer?
558
What is the third root of 47503535 to the nearest integer?
362
What is 28763237 to the power of 1/9, to the nearest integer?
7
What is the seventh root of 37406371 to the nearest integer?
12
What is 648829671 to the power of 1/2, to the nearest integer?
25472
What is 39128254 to the power of 1/3, to the nearest integer?
339
What is the third root of 21771323 to the nearest integer?
279
What is 115080497 to the power of 1/3, to the nearest integer?
486
What is the square root of 24064326 to the nearest integer?
4906
What is 144722496 to the power of 1/4, to the nearest integer?
110
What is 1615098970 to the power of 1/5, to the nearest integer?
69
What is the sixth root of 1438582 to the nearest integer?
11
What is the square root of 43008919 to the nearest integer?
6558
What is the square root of 154014212 to the nearest integer?
12410
What is the ninth root of 588285151 to the nearest integer?
9
What is 3521374480 to the power of 1/8, to the nearest integer?
16
What is 1161592718 to the power of 1/2, to the nearest integer?
34082
What is 32998594 to the power of 1/6, to the nearest integer?
18
What is 696655657 to the power of 1/9, to the nearest integer?
10
What is the cube root of 80009714 to the nearest integer?
431
What is 3170220326 to the power of 1/4, to the nearest integer?
237
What is the square root of 24045628 to the nearest integer?
4904
What is 52314809 to the power of 1/3, to the nearest integer?
374
What is 290129 to the power of 1/8, to the nearest integer?
5
What is the square root of 878426621 to the nearest integer?
29638
What is the tenth root of 1117782195 to the nearest integer?
8
What is the square root of 2259237463 to the nearest integer?
47531
What is 902883987 to the power of 1/4, to the nearest integer?
173
What is the square root of 175881425 to the nearest integer?
13262
What is 3881374102 to the power of 1/6, to the nearest integer?
40
What is the cube root of 1934756040 to the nearest integer?
1246
What is 1200364481 to the power of 1/9, to the nearest integer?
10
What is the eighth root of 382290209 to the nearest integer?
12
What is 326033159 to the power of 1/9, to the nearest integer?
9
What is the square root of 133478273 to the nearest integer?
11553
What is 283215001 to the power of 1/2, to the nearest integer?
16829
What is 3756048801 to the power of 1/5, to the nearest integer?
82
What is the sixth root of 325390279 to the nearest integer?
26
What is the seventh root of 2293125906 to the nearest integer?
22
What is the cube root of 59078221 to the nearest integer?
389
What is the third root of 158881204 to the nearest integer?
542
What is 91432530 to the power of 1/3, to the nearest integer?
451
What is 100556825 to the power of 1/5, to the nearest integer?
40
What is the square root of 148266778 to the nearest integer?
12176
What is the sixth root of 3215324740 to the nearest integer?
38
What is 569623949 to the power of 1/3, to the nearest integer?
829
What is 187571856 to the power of 1/7, to the nearest integer?
15
What is the fifth root of 1188071203 to the nearest integer?
65
What is the cube root of 209838523 to the nearest integer?
594
What is the square root of 1134855321 to the nearest integer?
33688
What is the tenth root of 2656935920 to the nearest integer?
9
What is 148568475 to the power of 1/10, to the nearest integer?
7
What is the seventh root of 368918820 to the nearest integer?
17
What is 1621321845 to the power of 1/7, to the nearest integer?
21
What is 1151277653 to the power of 1/3, to the nearest integer?
1048
What is the third root of 104126044 to the nearest integer?
470
What is the eighth root of 90088053 to the nearest integer?
10
What is the tenth root of 279143849 to the nearest integer?
7
What is the square root of 84167125 to the nearest integer?
9174
What is 15811048 to the power of 1/2, to the nearest integer?
3976
What is the square root of 4245326817 to the nearest integer?
65156
What is the square root of 328618028 to the nearest integer?
18128
What is 119830794 to the power of 1/2, to the nearest integer?
10947
What is 5158902211 to the power of 1/5, to the nearest integer?
88
What is 56697453 to the power of 1/2, to the nearest integer?
7530
What is 2398286067 to the power of 1/3, to the nearest integer?
1339
What is the fifth root of 885540074 to the nearest integer?
62
What is the square root of 315471176 to the nearest integer?
17762
What is the fifth root of 119157685 to the nearest integer?
41
What is 97539601 to the power of 1/6, to the nearest integer?
21
What is the square root of 3093101 to the nearest integer?
1759
What is the square root of 9238368 to the nearest integer?
3039
What is 315717311 to the power of 1/2, to the nearest integer?
17768
What is the tenth root of 43436533 to the nearest integer?
6
What is the cube root of 93733082 to the nearest integer?
454
What is the third root of 78880092 to the nearest integer?
429
What is the third root of 7754597704 to the nearest integer?
1979
What is 41919233 to the power of 1/10, to the nearest integer?
6
What is 184287
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate the smallest common multiple of 1105024 and 206639488.
206639488
Find the common denominator of -39/27624877 and 145/33714.
497247786
What is the smallest common multiple of 8624259 and 2464074?
17248518
What is the common denominator of -12/55 and -123/19770380?
217474180
What is the least common multiple of 359 and 8681?
3116479
Calculate the lowest common multiple of 4354182 and 645064.
17416728
Calculate the least common multiple of 3161 and 624352.
18106208
Calculate the smallest common multiple of 8800 and 308700.
27165600
Find the common denominator of -71/5672756 and -79/1220.
28363780
Calculate the lowest common multiple of 167642100 and 5355.
1173494700
What is the common denominator of 69/21128150 and 81/50?
21128150
Find the common denominator of 95/22 and 37/314102.
3455122
Calculate the lowest common multiple of 4771578 and 11133682.
33401046
What is the common denominator of 89/273084 and -115/57126?
2600032764
What is the smallest common multiple of 12483130 and 18678?
37449390
Find the common denominator of -11/24 and -70/531674601.
4253396808
What is the least common multiple of 1093272 and 20681062?
248172744
Calculate the least common multiple of 4824 and 20466.
5484888
What is the lowest common multiple of 13530 and 2722892?
449277180
Calculate the lowest common multiple of 442 and 870662.
14801254
Find the common denominator of -83/144684 and -115/45624.
550088568
Find the common denominator of 2/392643 and 21/2290.
899152470
Calculate the common denominator of 89/4192766 and 91/4.
8385532
What is the lowest common multiple of 344 and 189356?
16284616
Calculate the common denominator of -67/636840 and -137/60.
636840
What is the lowest common multiple of 62156 and 14473?
21941068
What is the smallest common multiple of 17083328 and 8?
17083328
Calculate the lowest common multiple of 116511846 and 272.
932094768
Find the common denominator of -161/4979460 and 29/1991784.
9958920
Find the common denominator of -109/351890 and -47/138004860.
1518053460
Calculate the lowest common multiple of 289 and 33722866.
573288722
Calculate the common denominator of -79/52337728 and -101/224.
366364096
What is the smallest common multiple of 19155140 and 138874765?
555499060
Calculate the smallest common multiple of 10692 and 1447308.
15920388
Find the common denominator of 71/2752 and -67/9172.
6310336
Find the common denominator of -59/5958320 and 47/57695.
65541520
Calculate the least common multiple of 5900070 and 6293408.
94401120
What is the common denominator of -47/92 and -101/1408?
32384
Calculate the lowest common multiple of 18662 and 1033075.
14463050
What is the least common multiple of 1002900 and 476?
119345100
Find the common denominator of 44/61901 and -65/38718.
10027962
Find the common denominator of 143/1975530 and -119/1975530.
1975530
Calculate the least common multiple of 54304 and 2768.
9394592
What is the common denominator of -43/1464 and 55/29009038?
348108456
Calculate the lowest common multiple of 1828980 and 8100.
9144900
Calculate the common denominator of -55/76209 and 2/195775.
78114225
What is the smallest common multiple of 4421 and 78830?
348507430
What is the least common multiple of 470208 and 2727?
427419072
What is the common denominator of -109/1568 and -59/263264?
12899936
What is the least common multiple of 152736 and 26144?
2901984
Calculate the smallest common multiple of 22232 and 122276.
244552
What is the common denominator of 31/54328 and 169/1800?
12223800
What is the least common multiple of 11040 and 563352?
259141920
Find the common denominator of -56/48135 and 79/2647425.
2647425
What is the common denominator of 103/355524474 and 101/308042?
2488671318
Calculate the smallest common multiple of 1874865 and 6545.
2454198285
Find the common denominator of 27/2 and 49/3064599.
6129198
Calculate the common denominator of -113/1070 and 9/6178180.
6178180
Calculate the lowest common multiple of 14723810 and 50.
73619050
What is the common denominator of 89/494 and -109/533026?
533026
What is the common denominator of -24/5 and -25/19331032?
96655160
Find the common denominator of -29/277904 and 87/1471628.
64751632
Calculate the common denominator of 139/2652 and -58/111.
98124
What is the least common multiple of 1030624 and 17120?
5153120
Find the common denominator of 77/24357406 and 67/219216654.
219216654
What is the smallest common multiple of 171360 and 25092?
7025760
Calculate the lowest common multiple of 96 and 4463256.
17853024
What is the lowest common multiple of 114920 and 258570?
1034280
Find the common denominator of -37/408 and -37/57594368.
172783104
Find the common denominator of 5/1795206 and 139/3590412.
3590412
What is the lowest common multiple of 5993130 and 153670?
5993130
What is the lowest common multiple of 1652840 and 49998410?
199993640
Calculate the common denominator of 67/103182720 and 119/120.
103182720
What is the lowest common multiple of 206072 and 566698?
2266792
Calculate the common denominator of 161/120 and 23/1434805.
34435320
What is the common denominator of -9/76 and -25/2027656?
38525464
Calculate the common denominator of -47/1716048 and 7/114.
32604912
Calculate the common denominator of 29/210728 and 47/43036.
6111112
What is the least common multiple of 17316 and 11856?
1316016
What is the common denominator of -17/80751 and -55/12624?
339800208
What is the lowest common multiple of 7264458 and 3726?
21793374
What is the common denominator of 107/16160 and -52/20690355?
662091360
Calculate the lowest common multiple of 3540754 and 63.
31866786
Calculate the least common multiple of 258125 and 30.
1548750
What is the smallest common multiple of 210 and 88221?
882210
What is the common denominator of 163/120648 and 29/25592?
844536
What is the lowest common multiple of 384048 and 219456?
1536192
Find the common denominator of -19/142996 and -35/388132.
2716924
What is the smallest common multiple of 488311 and 643?
313983973
What is the lowest common multiple of 1093656 and 5304?
241697976
Find the common denominator of -61/12208036 and -73/13976.
24416072
What is the smallest common multiple of 504610 and 11000498?
55002490
Find the common denominator of 89/95389624 and -9/17343568.
190779248
Find the common denominator of 85/9292696 and -23/44.
102219656
Calculate the smallest common multiple of 41124 and 24802.
509978724
Calculate the least common multiple of 20184 and 56496.
47513136
What is the least common multiple of 408062 and 2984?
1632248
What is the lowest common multiple of 312 and 80220504?
80220504
What is the least common multiple of 53083 and 2961?
157178763
What is the least common multiple of 8692110 and 770?
95613210
Calculate the least common multiple of 833872 and 16938025.
271008400
Find the common denominator of -119/810 and -44/831843.
24955290
Calculate the smallest common multiple of 50781594 and 291012.
101563188
What is the smallest common multiple of 1907514 and 1071?
32427738
Calculate the common denominator of 61/2110089 and 193/398130.
21100890
Calculate the lowest common multiple of 2533830 and 1508.
146962140
What is the least common multiple of 2437875 and 22275?
21940875
What is the lowest common multiple of 67383 and 7659201?
22977603
Calculate the common denominator of 35/96237808 and -17/1956.
288713424
Find the common denominator of 38/97975 and 38/3389935.
16949675
What is the least common multiple of 1250418 and 390?
6252090
Calculate the common denominator of 29/23432382 and 52/9669.
257756202
Find the common denominator of 2/30647 and -52/19.
30647
Calculate the common denominator of 97/69320 and -137/26260.
91017160
What is the least common multiple of 12829464 and 25658928?
25658928
What is the least common multiple of 3904 and 4598180?
73570880
What is the common denominator of 70/5078403 and 47/57555234?
172665702
Calculate the lowest common multiple of 242476 and 40614730.
81229460
Calculate the lowest common multiple of 15217948 and 28.
106525636
What is the lowest common multiple of 565528 and 2746?
776469944
What is the lowest common multiple of 1697034 and 10848?
27152544
What is the lowest common multiple of 21240 and 1075275?
8602200
Find the common denominator of 79/17364
|
{
"pile_set_name": "DM Mathematics"
}
|
- 6*o**2
Differentiate -364*h*s**2 - h*s - h + 18 wrt s.
-728*h*s - h
What is the second derivative of -364*s**5 - 602*s wrt s?
-7280*s**3
What is the second derivative of -h**4*i**2 + 111*h**2*i**2 - 5*h*i**2 - h - 10*i**2 wrt h?
-12*h**2*i**2 + 222*i**2
Find the second derivative of -10*h**4 - 18*h**3 - 191*h.
-120*h**2 - 108*h
Find the first derivative of -6*a**3*o + 201*a**3*v + 3*a**2*o**2 - a**2*o*v wrt o.
-6*a**3 + 6*a**2*o - a**2*v
What is the third derivative of -1728*s**6 + 12*s**2 - 5 wrt s?
-207360*s**3
What is the second derivative of -10*k**3*w + 33*k**2*w - 11*k*w - 2*k + w wrt k?
-60*k*w + 66*w
What is the third derivative of -6*m**3*p**3 - 28*m**3*p**2 - 27*m**3 - 10*m**2*p**4 + 7*p**4 wrt p?
-36*m**3 - 240*m**2*p + 168*p
What is the first derivative of 10*j**3 - 387*j**2 + 935?
30*j**2 - 774*j
What is the third derivative of -190*l**6*u + 3*l**2*u + 11*u wrt l?
-22800*l**3*u
Find the first derivative of 352*m*t + 325*t wrt m.
352*t
Differentiate -2809*i**2*u**2 - i**2*u - 2*i - 2*u**2 - 14*u - 25 wrt i.
-5618*i*u**2 - 2*i*u - 2
What is the derivative of -5342*c**3 - 2186?
-16026*c**2
What is the derivative of 25*z**2 + z - 55 wrt z?
50*z + 1
Differentiate 2*b**4 - 131*b**2*i**2 + 2*i**2 - 4*i with respect to b.
8*b**3 - 262*b*i**2
What is the third derivative of -307*i**5 + 1100*i**2?
-18420*i**2
What is the second derivative of -f**3 + 88*f**2 + 128*f - 2?
-6*f + 176
What is the second derivative of -3*r**5 + 83*r**3*w + r**3 - 2*r**2*w - 12*r + 18*w wrt r?
-60*r**3 + 498*r*w + 6*r - 4*w
Find the third derivative of -806*x**3 - 1050*x**2.
-4836
Find the first derivative of -54*r**3*v - 3*r*v**3 + r*v**2 + 17*v**3 - 4*v**2 wrt r.
-162*r**2*v - 3*v**3 + v**2
What is the third derivative of -20*i**5*u + i**4*u**2 + 2*i**3 - 2*i**2 + 2*i + 43*u**2 wrt i?
-1200*i**2*u + 24*i*u**2 + 12
What is the third derivative of x**4 + 59*x**3 + 241*x**2 wrt x?
24*x + 354
What is the second derivative of -4176*r**2 - 2988*r?
-8352
What is the second derivative of -i**2*k*r**3 + 123*i**2*k*r + 2*i*k + 58*i*r**3 wrt i?
-2*k*r**3 + 246*k*r
Find the second derivative of -279*p*v**2 - 47*p*v - 12*v wrt v.
-558*p
Differentiate -1524*b**3*s + 33*b**3 - 8*b**2 with respect to s.
-1524*b**3
Find the third derivative of 1252*p**3*q**5 - 2*p**3*q - 1678*q**2 wrt q.
75120*p**3*q**2
Differentiate j*z**3 + 81*j*z + 5*j + 11 wrt z.
3*j*z**2 + 81*j
Find the third derivative of 9*g**3 + 121*g**2 wrt g.
54
What is the second derivative of -2*s**4 - 46*s**2 - 8*s - 2?
-24*s**2 - 92
Find the third derivative of 740*a*g**4 + a*g**3 + 281*a*g**2 + a*g wrt g.
17760*a*g + 6*a
Differentiate -18913*q - 4064.
-18913
Find the third derivative of -b*f*n**3*t + 24*b*f*n**3 + b*f*n**2*t - 2*b*n**2*t - 2*f*n**3*t + 2*f*n**2 + 2*n**2*t wrt n.
-6*b*f*t + 144*b*f - 12*f*t
What is the second derivative of 50*f*z**5 - 9*f*z**4 - 70*f*z - 2*f wrt z?
1000*f*z**3 - 108*f*z**2
What is the second derivative of -40*y**5 - 72*y?
-800*y**3
Find the third derivative of -i*w**3 + i*w**2 + 7*w**6 - 27*w**2 - 1 wrt w.
-6*i + 840*w**3
Find the second derivative of -p**3 + p**2 + 144*p wrt p.
-6*p + 2
What is the third derivative of 421*b**6 - 719*b**2 wrt b?
50520*b**3
What is the derivative of -2*f**2*n*q + 5*f**2 + 26*f*n**3 - 166*n**3*q wrt q?
-2*f**2*n - 166*n**3
Differentiate 8111*n**2 + 32888 with respect to n.
16222*n
Find the second derivative of -77*c**3 - 4*c**2*f*n**2 - c**2*f*n + 4*c*n**2 - 5*f*n + 12*n**2 wrt c.
-462*c - 8*f*n**2 - 2*f*n
What is the third derivative of -35*a**6 - 81*a**5 + 1483*a**2 - 2*a + 1?
-4200*a**3 - 4860*a**2
Find the third derivative of 18*u**5 + 3*u**2 - 22*u wrt u.
1080*u**2
Find the first derivative of -39*f**4 + f + 403.
-156*f**3 + 1
What is the third derivative of -4*t**6*w - 31*t**6 + 8*t**2 - t*w - 32*t - w wrt t?
-480*t**3*w - 3720*t**3
Find the first derivative of 17*n**4*y + 2*n**2*y + 411*y wrt n.
68*n**3*y + 4*n*y
What is the third derivative of -926*t**6 - 5*t**3 - 3*t**2 + 118*t + 14 wrt t?
-111120*t**3 - 30
What is the third derivative of -p*z**6 - p*z**3 + 6*p*z**2 - 2*y*z**6 - 3*y*z**2 + 2*z**2 wrt z?
-120*p*z**3 - 6*p - 240*y*z**3
What is the third derivative of 154*f**4*m**3*s*y - 3*f**3*s*y - 2*f**2*m**2*s + f**2*m**2*y - 7*f**2*m*y + 3*f*m**3 - 2*f*m**2*s wrt f?
3696*f*m**3*s*y - 18*s*y
What is the third derivative of 2471*s**3*z**3 + 344*s**2*z**3 wrt s?
14826*z**3
What is the derivative of -304*h**4 + 207?
-1216*h**3
Find the second derivative of -6*v**2*w + 13*v**2 + 86*v - 2*w wrt v.
-12*w + 26
Find the first derivative of 2*v**3 - 104*v - 78 wrt v.
6*v**2 - 104
What is the second derivative of a**3*p - 100*a**3 - 3*a**2*n**2*p + a*n**2*p - 2*a*n*p + 76*a*p + 2*n**2 wrt a?
6*a*p - 600*a - 6*n**2*p
What is the second derivative of -2*c**3*v**4 - 364*c**3*v**3 - c**3*v - 13*c**3 + 80*v wrt v?
-24*c**3*v**2 - 2184*c**3*v
Find the third derivative of -5*a**3*i**2*k*w - 4*a**3*i*w + a**3*w - 5*a**2*i*k - a**2*w - 29*a**2 + 2*a*i**2*w wrt a.
-30*i**2*k*w - 24*i*w + 6*w
What is the third derivative of -2*d*f*n**3 + 2*d*f*n**2*t - 2*d*n**3 - d*n**2 - 7*d*t + f*n**3*t + 3*f*n**3 - 2*f*n wrt n?
-12*d*f - 12*d + 6*f*t + 18*f
Find the third derivative of 28*l**3*r**2*y - 8*l**3*r*y + 3*l**3*r - l**2*r*y - 165*l*r**2*y - l*r**2 - r*y - 1 wrt l.
168*r**2*y - 48*r*y + 18*r
Differentiate 2*b**2*s**2 + 76*b*s**3 - 4*s**3 - 16*s with respect to b.
4*b*s**2 + 76*s**3
What is the derivative of -3*b**2 + b*p**2 - 4*p**2 + 31*p wrt b?
-6*b + p**2
Differentiate -25*l**2*s**2 + l**2*s*x - 24*s**2*x + s**2 - s*x with respect to x.
l**2*s - 24*s**2 - s
What is the third derivative of y**4 + 81*y**3 + y**2 + 80?
24*y + 486
What is the first derivative of 50*m**2*p + 13*m**2*z - 2*m*p*z wrt p?
50*m**2 - 2*m*z
Find the second derivative of -10*g*o**3 + g*o**2 + 2*g*o - 21*o**3 + 62*o wrt o.
-60*g*o + 2*g - 126*o
Find the first derivative of -162*b*w**3 + b*w**2 - 6421*b - 2*w**2 wrt w.
-486*b*w**2 + 2*b*w - 4*w
What is the second derivative of c**4 - 4*c**2 + 227*c wrt c?
12*c**2 - 8
What is the derivative of -2*n**3*v + 2*n**3 - 4*n*v - 5 wrt v?
-2*n**3 - 4*n
Find the second derivative of 602*v**4 + 2*v**3 - 2*v + 1810.
7224*v**2 + 12*v
Find the first derivative of -40*a**3*i**2 - 4*a**3*i - 246*a**3 wrt i.
-80*a**3*i - 4*a**3
What is the third derivative of -444*j*z**4 + j*z**3 + 3*j*z**2 - 75*j wrt z?
-10656*j*z + 6*j
What is the third derivative of -13*w**3*x**3 - 3*w**3*x + 43*w*x**3 + 82*x**2 wrt x?
-78*w**3 + 258*w
What is the third derivative of 79*r**5*w**2 - 58*r**2*w**2 - w**2 wrt r?
4740*r**2*w**2
Find the third derivative of 62*q**3*z + 2*q**3 - 3*q**2*z - 3*q*z wrt q.
372*z + 12
Differentiate -2*n*z**4 - 2*n*z**3 + 4*n*z + 67*n wrt z.
-8*n*z**3 - 6*n*z**2 + 4*n
Find the second derivative of 31*d**5 + 10*d**3 - 2*d + 394.
620*d**3 + 60*d
Differentiate -17283*m**3 + 11244 with respect to m.
-51849*m**2
Find the first derivative of -94*t**3 + 150.
-282*t**2
What is the first derivative of -865*p**2*u**3 - 2*p**2*u - 4*u**3 + 2*u**2 - 251 wrt p?
-1730*p*u**3 - 4*p*u
Find the second derivative of 1232*g**2*r**2 - g**2*r - g*r**2 - 105*g*r wrt r.
2464*g**2 - 2*g
What is the third derivative of 170*f**3 + 76*f**2 + 2*f wrt f?
1020
Find the third derivative of -38*d**6 + 4*d**5*y - 22*d**2*y + 2*d - 17 wrt d.
-4560*d**3 + 240*d**2*y
Differentiate -42*i*o + 14*i*q**3 + 2*i*q - 75*o**3*q**2 - 78*o**3 wrt q.
42*i*q**2 + 2*i - 150*o**3*q
What is the derivative of -985*z**3 - 963?
-2955*z**2
What is the third derivative of 798*r**4 + r**2 + 28*r + 11 wrt r?
19152*r
Find the second derivative of -1621*g**2*n*x - 3*g**2*x - 4*g*n*x + n*x + 3*n - 57*x + 1 wrt g.
-3242*n*x - 6*x
Find the third derivative of -290*p**4 - 11*p**2 + 3 wrt p.
-6960*p
What is the first derivative of -2*c**3*w + 175*c*w**2 - 983*w**2 wrt c?
-6*c**2*w + 175*w**2
What is the derivative of -d**2*q**3 + 2*d**2*q - 17*d*q**2 + q**3 - 359*q**2 wrt d?
-2*d*q**3 + 4*d*q - 17*q**2
Find the first derivative of 15534*q**3 - q + 7123.
46602*q**2 - 1
What is the second derivative of 6*f**3*j - 3*f**3 - 2*f**2*j**3 - 2*f*j**3 + 2*f*j + 4*j wrt f?
36*f*j - 18*f - 4*j**3
What is the third derivative of -5*p**4 - 7*p**3 - 4*p**2 + 34*p wrt p?
-120*p - 42
What is the third derivative of -8740*l*
|
{
"pile_set_name": "DM Mathematics"
}
|
3.
-9*v**3
Collect the terms in -2*y**3 - 1560*y + 524*y + 521*y + 515*y.
-2*y**3
Collect the terms in -7*m - 32*m + 6*m - 121*m.
-154*m
Collect the terms in 6801 - 6801 + i**3.
i**3
Collect the terms in 60 - 4*b + 5*b - 2*b - b.
-2*b + 60
Collect the terms in 2 - 22*m**3 + 26*m**3 - 2.
4*m**3
Collect the terms in c + c - c + 0.
c
Collect the terms in 30*g**2 + 25*g**2 + 11*g**2.
66*g**2
Collect the terms in -9*f + 16*f - 33*f - 17*f.
-43*f
Collect the terms in -432*p**2 + 97*p**2 - 22*p**2.
-357*p**2
Collect the terms in 3*u**3 - 100*u**2 - 2*u**3 - 2*u**3.
-u**3 - 100*u**2
Collect the terms in 650*y**2 - 413*y**2 - 236*y**2.
y**2
Collect the terms in 935*d**2 + 654*d**2 - 1592*d**2.
-3*d**2
Collect the terms in 8 + 167*b - 8.
167*b
Collect the terms in 45*a - 87*a + 42*a - 53*a**3.
-53*a**3
Collect the terms in -292*b**2 + 605*b**2 - 311*b**2.
2*b**2
Collect the terms in 15 - 26 - 225*o**3 + 11.
-225*o**3
Collect the terms in -9*m + 2*m + 8*m.
m
Collect the terms in k - 35*k - k - 1.
-35*k - 1
Collect the terms in 0 - 93*d**2 - 51*d**2 - 4*d**2 - 2.
-148*d**2 - 2
Collect the terms in -10*t**3 + 175*t + 2*t**3 - 175*t + 3*t**3.
-5*t**3
Collect the terms in -i + 6*i - 3*i - 4*i.
-2*i
Collect the terms in 7*z**2 + 4*z**2 - 17*z**2.
-6*z**2
Collect the terms in -8*g - 6*g - 5*g + 3*g.
-16*g
Collect the terms in -4*x + 291364 - 291364.
-4*x
Collect the terms in 4*s**2 + 0*s**2 + 0*s**2 - 2*s**2.
2*s**2
Collect the terms in -150*k**3 + 0 + 0 + 479*k**3.
329*k**3
Collect the terms in -25*z**3 - 12*z**2 + 12*z**2.
-25*z**3
Collect the terms in 5*m - 5*m**3 - 17*m + 12*m.
-5*m**3
Collect the terms in 7*h**3 + 12*h**3 - 18*h**3.
h**3
Collect the terms in -1 + 9*b + 0 - 11*b - 20*b.
-22*b - 1
Collect the terms in -6*j**3 - j**3 + j**3 - 3*j**3 + 6*j**3.
-3*j**3
Collect the terms in 200*r**2 - 213*r**2 + 32*r - 32*r.
-13*r**2
Collect the terms in 5*b**3 + 37*b**3 - 23*b**3 + 21*b**3.
40*b**3
Collect the terms in -55*t + 110*t + 58*t.
113*t
Collect the terms in 2341874 + 3*a - 2341874.
3*a
Collect the terms in -41*k + 22*k + 22*k.
3*k
Collect the terms in -16*t**3 + 0*t + 0*t - t**3.
-17*t**3
Collect the terms in 1 + 2*y**2 + 35*y**2 - 1.
37*y**2
Collect the terms in -30*k**3 + 0*k**3 + 73*k**3.
43*k**3
Collect the terms in 0 - 4*y**2 - y**2 + 15.
-5*y**2 + 15
Collect the terms in 5*x - 6837 + 6837 + 19*x**3.
19*x**3 + 5*x
Collect the terms in 19*n + 20*n - 13*n.
26*n
Collect the terms in 27*k + 8*k - 10*k.
25*k
Collect the terms in -5*g**2 + 3*g**2 + 2*g**2 + 63*g**3.
63*g**3
Collect the terms in -67*x + 33*x + 21*x**2 + 34*x.
21*x**2
Collect the terms in -24 + 24 - 13*a**3.
-13*a**3
Collect the terms in 92 + 88 - 180 + 29*q.
29*q
Collect the terms in -3 + 32*r - 24*r - 14*r.
-6*r - 3
Collect the terms in -59*i - 23*i - 16*i.
-98*i
Collect the terms in -3 - 153*i**2 + 3 + 35*i**2 + 116*i**2.
-2*i**2
Collect the terms in -2*r**2 + 9*r**3 + r**3 - 2*r**2 + 4*r**2.
10*r**3
Collect the terms in 4 + 2 - 45*k - 6.
-45*k
Collect the terms in -391*j**3 + 135*j**3 + 124*j**3 + 127*j**3.
-5*j**3
Collect the terms in -29304*p**2 + 29304*p**2 - p**3.
-p**3
Collect the terms in -7*f - f**2 + 0*f**2 + 3*f + 6*f.
-f**2 + 2*f
Collect the terms in -52*i**2 + 52*i**2 + 3*i**3.
3*i**3
Collect the terms in 54*g - 113*g + 59*g - 4*g**3.
-4*g**3
Collect the terms in 3*j - 32 - 19 - j.
2*j - 51
Collect the terms in -x - 3*x + 3*x + 0*x.
-x
Collect the terms in 197*c - 60*c - 61*c - 61*c.
15*c
Collect the terms in 28 - 7*l - 18 - 10.
-7*l
Collect the terms in 61*s**2 - 45*s - 60*s**2 + 8*s.
s**2 - 37*s
Collect the terms in v**2 + 5*v**2 + 0*v**2 - 3*v**3.
-3*v**3 + 6*v**2
Collect the terms in -2947*b**2 + 5898*b**2 - 2950*b**2.
b**2
Collect the terms in -4 - 12*z + 3*z + 4.
-9*z
Collect the terms in 10*b - 8*b - 4*b.
-2*b
Collect the terms in 0*b + 753 - 753 + 12*b.
12*b
Collect the terms in 6*k**3 + 10*k**3 + 8*k**3 - 7*k**3.
17*k**3
Collect the terms in -16 - 12*k + 13 + 3.
-12*k
Collect the terms in -h**3 - 4*h**3 + 185*h - 185*h.
-5*h**3
Collect the terms in -6 + 6 + 32*l**2 + 1.
32*l**2 + 1
Collect the terms in -51*s - 108*s + 67*s - 188*s.
-280*s
Collect the terms in 3552 - 4*d - 3552.
-4*d
Collect the terms in -12*l**2 - 5*l**3 + 23*l**2 - 11*l**2.
-5*l**3
Collect the terms in 0*c - 615*c**2 - 185*c**2 + 0*c.
-800*c**2
Collect the terms in -439 + 3*u**2 + 439.
3*u**2
Collect the terms in 33 + 5*c + 31 + 33 - 97.
5*c
Collect the terms in z - 9 - z - 4*z.
-4*z - 9
Collect the terms in -3*t - 4 - 2*t - 5.
-5*t - 9
Collect the terms in 63*g**3 + 38*g**3 - 133 + 133.
101*g**3
Collect the terms in -216*o + 112*o + 102*o.
-2*o
Collect the terms in 18*t - 8*t - 10*t - 5*t**3.
-5*t**3
Collect the terms in 252*y**2 + 27*y**3 - 29*y**3 - 252*y**2.
-2*y**3
Collect the terms in 102 - 102 + 19*v**3 - 2*v.
19*v**3 - 2*v
Collect the terms in -87 - 96 + 183 - 2*c.
-2*c
Collect the terms in 2*l**2 + 489*l - l**2 - 484*l.
l**2 + 5*l
Collect the terms in -5 - 2*q**2 + 2 + 3.
-2*q**2
Collect the terms in -83 - 5*n + 31*n + 83.
26*n
Collect the terms in -7*v + 8*v**2 + 7*v + 0*v.
8*v**2
Collect the terms in -4*i**2 - 8*i**2 - 8*i**2 - 2*i**2.
-22*i**2
Collect the terms in 0*c + c + c + 3*c.
5*c
Collect the terms in 37*t + 5 - 13 + 8.
37*t
Collect the terms in -2 - 45*g**3 - 14*g**3 - 4*g**3.
-63*g**3 - 2
Collect the terms in -45*g + 15*g + 19*g.
-11*g
Collect the terms in -93*u**3 - 78*u**3 + 28*u**3.
-143*u**3
Collect the terms in 5172*n**2 - 5172*n**2 + 3*n**3.
3*n**3
Collect the terms in -12*o + 57*o**2 + 5*o + 7*o.
57*o**2
Collect the terms in -8 - 9*o**2 + 8 - 8*o**2.
-17*o**2
Collect the terms in 750*b**3 + 403*b**3 - 336*b**3.
817*b**3
Collect the terms in 2*b**3 - 5*b - 11*b + 4*b + 6*b.
2*b**3 - 6*b
Collect the terms in -49*x**2 - 6 + 6 + 55*x**2.
6*x**2
Collect the terms in -17*z**3 + 5*z**3 - 4*z**3.
-16*z**3
Collect the terms in -80*r + 257*r - 87*r - 86*r.
4*r
Collect the terms in 6*z**3 - 14*z**3 + 4*z**2 - 16*z**3.
-24*z**3 + 4*z**2
Collect the terms in 3*g - 8*g - g**3 + 6*g**3.
5*g**3 - 5*g
Collect the terms in 10*j - 1 + 16*j - 1 + 2*j.
28*j - 2
Collect the terms in 1868*s - s**2 - 814*s - 1054*s.
-s**2
Collect the terms in -72*g - 72*g + 214*g - 68*g.
2*g
Collect the terms in -9*u - 3*u + 10*u.
-2*u
Collect the terms in 2*q**3 + 2*q**3 - 16*q**3.
-12*q**3
Collect the terms in 0 + 0 - 2*j + 0.
-2*j
Collect the terms in 9*y + 281 - 281 + 3*y.
12*y
Collect the terms in -33*l**3 - 11*l**2 + 11*l**2.
-33*l**3
Collect the terms in -7 - 7*o**2 + 11 - 4.
-7*o**2
Collect the terms in 38*g**2 - 8*g**2 - 13*g**2 - 18*g**2.
-g**2
Collect the terms in 65*n**2 + 37*n**2 + 7 + 31*n**2 - 6.
133*n**2 + 1
Collect the terms in -q + 8*q + 4*q + q.
12*q
Collect the terms in -47386 - 47387 + g + 94773.
g
Collect the terms in -4778*f**2 - 1156*f**3 + 1155*f**3 + 4778*f**2.
-f**3
Collect the terms in 43*p**2 + 44*p**2 - 131*p**2 + 46*p**2.
2*p**2
Collect the terms in -39430*d - 39431*d + 78862*d.
d
Collect the terms in -30*l**3 + 10*l**3 + 19*l**3.
-l**3
Collect the terms in -1620 + 1620 + u.
u
Collect the terms in -10*j - 7*j - 3*j + 17*j.
-3*j
Collect the terms in -1 - 1 - 10*n + 1.
-10*n - 1
Collect the terms in 3*z**3 - 8*z - 4*z + 15*z - 3*z.
3*z**3
Collect the terms in 509*y - 509*y + 4*y**2.
4*y**2
Collect the terms in 31*j - 37*j - 6*j.
-12*j
Collect the terms in -827*k + 410*k + 417*k - 25*k**3.
-25*k**3
Collect the terms in -109 - 44 - c**3 + 90.
-c**3 - 63
Collect the terms in 1 - 5 + 2*j**2 + 4.
2*j**2
Collect the terms in -8*r**3 + 1 - 12*r**3 + 21*r**3 - 1.
r**3
Collect the terms in -10858 + 10858 - i**2.
-i**2
Collect the terms in 11*p + 2*p - 11*p.
2*p
Collect the terms in -1 - 32*g**2 + 1 + 46*g**2.
14*g**2
Collect the terms in -7*g - g**3 + 12*g - 5*g.
-g**3
Collect the terms in -2 + 16*d**3 + 2 + 2*d**3.
18*d**3
Collect the terms in 24*f - 6*f - 2*f - 17*f.
-f
Collect the terms in l**3 + 2*l**3 + l**3 - l**3.
3*l**3
Collect the terms in -3*b + 7*b + 1 - 5*b - 1.
-b
Collect the terms in 20*p**2 - 44*p**2 + 26*p**2.
2*p**2
Collect the terms in 4*v - 2*v**2 - 13*v - 3*v**2 + 2*v**2.
-3*v**2 - 9*v
Collect the terms in -173*y**3 + 82*y**3 + 137*y**3.
46*y**3
Collect the terms in 5*l - 1344 + 1344.
5*l
Collect the terms in -24*h**3 + 37*h**3 - 21*h**3.
-8*h**3
Collect the terms
|
{
"pile_set_name": "DM Mathematics"
}
|
-7*o**3
Expand ((-q**2 + 2 - 2)*(0*q**2 + q**2 - 2*q**2) + 2*q**4 - 3*q**4 - q**4)*(4*q + 18*q - 7*q).
-15*q**5
Expand (-y**2 - 1 + 1)*(0*y + 3*y - y + (-3*y + 2*y - y)*(2 - 2 - 2) - y + 5*y - 3*y).
-7*y**3
Expand (-11 + 11 - 5*x)*(2*x**2 - 14 + 14) + 2*x**3 - 3*x**3 + 2*x**3 + (-5*x**2 - x**2 + 4*x**2)*(-x + 5*x - 2*x) + 2*x**3 - x**2 + x**2.
-11*x**3
Expand (-3 + 1 + 1)*(2*f**3 - 3*f**3 + 4*f**3)*(-14 + 14 - 11*f).
33*f**4
Expand (2*f + f**2 + 10*f**2 + 4*f**2)*(3*f**2 - 3*f**2 + 3*f**2).
45*f**4 + 6*f**3
Expand -2 + 2 + i + 1 - 1 + 2*i + (-2 - 2*i + 2)*(-2 + 1 + 0) - 4*i - i + 6*i.
6*i
Expand 2*q**4 + 0*q**4 - 3*q**4 + (2 + 3*q**2 - 2)*(0*q**2 - 3*q**2 + q**2) + 5*q**4 - 1 + 1 + (6*q - q - 4*q)*(-3*q**3 + 2*q**3 + 2*q**3) + 2*q**4 - q + q.
q**4
Expand (-4 + 4 + l)*(l**4 + 2*l**4 - 2*l**4) + (-5*l + l + 2*l)*(1 - 1 - 2*l**4) + 2*l**5 + 1 - 1 - 108*l**5 + 11*l**5 - 40*l**5.
-130*l**5
Expand 0*r - 3*r + 5*r + (-5*r + 2*r + 5*r)*(2 - 5 + 2) - 5*r + r + 2*r - r + 2*r - 2*r.
-3*r
Expand 4 - 4 - 3*f + (0*f - 3*f + 6*f)*(-6 + 3 + 2) + 4*f - 3*f - 4*f.
-9*f
Expand (80*w + 9*w**3 - 80*w)*(2 + 0 - 6).
-36*w**3
Expand (-1 + 3*d + 1)*(d**4 - 2*d**4 + 0*d**4).
-3*d**5
Expand (0*i**2 - i**2 - i**2)*(-3*i**2 + 1 - 2*i**2 + 2*i**2).
6*i**4 - 2*i**2
Expand (54*q + 4*q**2 - 54*q)*(3*q**2 + 0*q**2 - 4*q**2).
-4*q**4
Expand (-1 - 1 + 1)*(-5 - 2*t + 5 + (-1 - 2 + 2)*(-t - 2*t + 2*t))*(-1 + 5 - 3)*(5*t - 5*t + 2*t).
2*t**2
Expand (-7*z**2 + 2*z**2 + 2*z**2)*(z - 2*z**2 - z).
6*z**4
Expand b**2 + 15 - 2*b - 30 + 8 + (1 + 0 + 0)*(-2*b**2 + b**2 - b**2).
-b**2 - 2*b - 7
Expand (2*s**4 + 4*s**2 - 4*s**2)*(0 + 0 + s) + 3*s**4 - 3*s**4 + 2*s**5 + (5*s**2 - 2*s**3 - 5*s**2)*(3*s**2 - 2*s**2 + 4*s**2).
-6*s**5
Expand (-2*t + 2*t - t**4)*(-4 + 4 - t) - 5*t**5 + 3*t**5 + 3*t**5 - t**4 + t**5 + t**4 + (2 - 2 - t)*(t**4 - t**4 - 2*t**4).
5*t**5
Expand (z**2 - z**2 - z**2 + (3*z - z + 0*z)*(-3*z - 2*z + 3*z))*(z + 0*z + 0*z).
-5*z**3
Expand (-2 - 1 + 1)*(-8*c**5 + 17*c**5 - 42*c**4 - 8*c**5).
-2*c**5 + 84*c**4
Expand 5*w**4 - 7*w**4 - w**5 + 4*w**5 + (-w**2 - 4 + 4)*(3*w**3 + 0*w**3 - 5*w**3).
5*w**5 - 2*w**4
Expand -2*v**3 - 3*v**3 + 6*v**3 + (v**2 + 0*v + 0*v)*(8*v - 3*v + 8*v).
14*v**3
Expand (3*f**3 - 2*f**3 + f**3)*(0*f + 0*f - 2*f**2) + 14*f**5 - 13 + 14*f**5 - 31*f**5.
-7*f**5 - 13
Expand (-16*m + 4*m + 2*m)*(-4 + 5 + 2).
-30*m
Expand (-y**3 + y**3 + 5*y**4)*(-7*y - 16 + 16).
-35*y**5
Expand (-13 - 7*y + 13)*(-2*y - 2 + 2).
14*y**2
Expand 10 - 10 + 2*j**3 + 0*j - 5*j**3 + 0*j + (4*j**2 - 2*j**2 - 3*j**2)*(-7*j + 2*j + 4*j).
-2*j**3
Expand (2 - 5*a - 14*a - 17*a)*(-3*a**2 + a**2 + 4*a**2).
-72*a**3 + 4*a**2
Expand (0*w**2 + 4*w**2 + 2*w + 0*w)*(w - 4*w + 0*w).
-12*w**3 - 6*w**2
Expand (0*y**2 + 3*y**2 - y**2)*(3*y + y - 2*y) + (2*y**3 + 2 - 2)*(0 + 6 + 8) + y**3 + 3*y**3 - 3*y**3.
33*y**3
Expand (-d**2 + 0*d**2 - d**2 + (-d + 1 - 1)*(2 + 2*d - 2) - 3*d**2 + 9*d**2 - d**2)*(2*d + 10*d + 3*d).
15*d**3
Expand -b**5 + b + 0*b + 0*b + (2*b**2 - 2*b**2 - 2*b**2)*(-b**3 + 0*b**3 - 8*b**3).
17*b**5 + b
Expand ((-4*s + 2*s + 3*s)*(0 + 2 + 0) + 2*s - 2*s + 2*s + 4 + 3*s - 4 + s + 0*s + 0*s + 0*s - 4*s + 2*s)*(-4*s - 4*s + 6*s).
-12*s**2
Expand (0 - 3 + 2)*(-x**3 - 3*x**4 + 4*x**4 + 0*x**4 + (-x**2 + x**3 + x**2)*(-x + x + x) + x**4 + x - x - 4*x**4 - x**4 + 6*x**4).
-4*x**4 + x**3
Expand (-6*d**4 - 2*d**4 + 3*d**4)*(d + 4*d + 0*d).
-25*d**5
Expand (-5 - 5 + 3)*((1 - 3 - 2)*(-2*i**3 + 2*i**3 + 2*i**3) - 2*i**3 - 3*i + i + 3*i**3).
49*i**3 + 14*i
Expand 0*q**5 + q**5 - 2*q**5 + (q**2 + 0*q**2 + 17*q**2)*(3*q + 3*q**3 - 3*q).
53*q**5
Expand (-i + 0*i + 4*i)*(-7*i + 4 - 4) + i**2 - 3*i**2 + i**2 + (3*i**2 - 3*i**2 + i**2)*(0 - 1 - 1).
-24*i**2
Expand (-4*o + 3 - 3)*(-o**3 + 2*o**3 - 3*o**3) + (-o - o - 3*o)*(-2*o**3 + o**3 + 2*o**3).
3*o**4
Expand (-g**4 + 0*g**4 - 2*g**4)*(-5 + 7 + 2).
-12*g**4
Expand (m + m - m + (2 + 2*m - 2)*(1 - 3 + 1) + (4 - 2 + 0)*(m - 2*m - 3*m))*(-m - 2*m**4 + m).
18*m**5
Expand (3 - 3 - 3*o)*(-19 + 2 + 5).
36*o
Expand 1 + 2*b - 2*b + 2*b + (-1 + 4 - 1)*(-3*b + 0*b + 0*b)*(-3 + 2 + 2).
-4*b + 1
Expand 0*m**3 - 3*m**5 + 0*m**3 + (-14*m + 22 - 22)*(4*m**4 - 6*m**4 + m**4) - m**5 + 0*m**5 + 0*m**5.
10*m**5
Expand (4*n**2 - n**2 - 2*n**2)*(4 + 7 - 9 + 14*n**3).
14*n**5 + 2*n**2
Expand (2 - 5 - 5 + (3 - 3 - 1)*(-3 + 5 - 3))*(-2*s - 2*s + 5*s) + (0 - 2*s + 0)*(0 + 3 - 1).
-11*s
Expand (3 - 1 - 5)*(4*j**3 + 2*j**3 - 3*j**3) + (0*j**2 + 0*j**2 - j**2)*(-2*j - j + 2*j).
-8*j**3
Expand (-3*b**4 + 2*b**4 - 7*b**3 + 8*b**3)*(2 - 2 + 2*b) + (2*b**4 + 2*b**4 - 5*b**4)*(24*b + 3*b - 7*b).
-22*b**5 + 2*b**4
Expand (-2*u - u + 2*u)*(-2 - 2*u + 2)*(-1 + 14*u**2 - 3*u**2 + 27*u**2).
76*u**4 - 2*u**2
Expand -4*r**5 - 3*r**5 - 2*r**5 + (0 + 2*r**2 + 0)*(3*r**3 - 2*r**3 - 3*r**3).
-13*r**5
Expand (-2 + 1 - 2)*(-7*l + l - 5*l).
33*l
Expand (-9 + 11 + 8 + 10)*(-p**2 + 2*p**2 + 4*p**2).
100*p**2
Expand -2 - 10*j + 4 - 4 - 2*j + 4*j - j + 4*j - 2*j + 0*j + (2*j - 2*j - 2*j)*(0 - 1 + 0) + 4*j + j - 3*j.
-3*j - 2
Expand (0 - g + 0)*(2 - 4 + 4 + (0 + 4 - 1)*(4 + 0 + 1))*(4 + 4 - 4).
-68*g
Expand 2*g - 14 - 2*g**2 + 14 + (g + 0 + 0)*(-g + 2*g + 0*g).
-g**2 + 2*g
Expand (-3 + 3 + 4*v)*(v + 0 + 0)*(-5*v + 5*v - 4*v).
-16*v**3
Expand -n**2 + 0*n + 0*n + 5*n**2 + 0*n**2 - 2*n**2 + (3 - 3 - 2)*(4*n**2 + 5*n - 5*n).
-6*n**2
Expand -20*j**4 - 42*j**2 + 42*j**2 + (3*j**3 + 0*j**2 + 0*j**2)*(j - 4*j + j).
-26*j**4
Expand (3*r - 3*r + 2*r)*(-4*r + 46 - 46)*(-3 + 7 + 1).
-40*r**2
Expand (2*z**2 - z**2 - 3*z**2 + (3 - 4 + 0)*(2*z**2 + 3*z**2 - 3*z**2))*(-1 + 0 + 7).
-24*z**2
Expand -6*d + 6*d + 4*d + (0 - d + 0)*(-1 + 3 + 0).
2*d
Expand (-2*y + 2*y + 2*y)*(4 - 4 - 2) + (-4 + 5 + 0)*(y + 1 - 1) - 2*y + 0*y + 0*y.
-5*y
Expand 5*x + 13 - 2*x**2 + 10*x - 15 + (-x + 2*x + x)*(3*x - x + x).
4*x**2 + 15*x - 2
Expand (-2*j**2 + 6*j**2 - 3*j**2)*(0*j**2 - 3*j**2 + 0*j**2) + 2*j**4 - 2*j**4 - 2*j**4.
-5*j**4
Expand (p - p + 5*p)*(12 - 9*p**4 + 20*p**4 - 10*p**4).
5*p**5 + 60*p
Expand (-10 - 12 + 5)*(2 - 2 - l**2).
17*l**2
Expand (6 - 1 - 4)*(-8 + 2 - 1)*(2*l**4 + 0*l**2 + 0*l**2).
-14*l**4
Expand (7*f - 5*f + 2*f)*(2*f**3 - 2*f**3 - 2*f**3).
-8*f**4
Expand (-k**2 - 11*k**2 - 2*k**2)*(-1 + 1 + 3*k) + (2 - 1 + 0)*(-k**3 - k**3 + k**3) - 2*k**2 - k**3 + 2*k**2.
-44*k**3
Expand (-1 - 2*m**2 - 4 + 3)*(-4*m + 26*m + 7*m).
-58*m**3 - 58*m
Expand (1 - 1 + 2*k)*(2 + 1 - 1) + (7*k - 2*k + k)*(-1 - 1 + 0).
-8*k
Expand (1 + 1 + 0)*(r**2 - 5*r**2 + 5*r**2 + 2*r**2 + r**2 - r**2 + (-r + 3*r + 0*r)*(-r + 0*r + 3*r)).
14*r**2
Expand (-5*v**4 - 5*v + 5*v)*(2 + 1 - 1)*(-4 + 1 + 4)*(-4*v + v + 0*v).
30*v**5
Expand (2 + 4 - 3)*(-4*x + x + 8*x)*(5*x - 4*x - 4*x).
-45*x**2
Expand (-4 + 2 + 1 - m)*(0*m + 3*m**2 + 0*m).
-3*m**3 - 3*m**2
Expand 0*r**5 + 2*r**5 - 5*r**5 + (-r**4 - r**2 + r**2)*(r - r - r) + (3*r**3 + 3*r**3 - 5*r**3)*(-2*r**2 + 0*r**2 + r**2) + 2*r**5 + 3*r**2 - 3*r**2.
-r**5
Expand (5*r - r - 3*r)*(-r - 1 + 1) - 17 - 54*r**2 + 17 + (3*r - r - 4*r)*(-r + 0*r + 0*r).
-53*r**2
Expand (z + 4*z - 2*z)*(-4*z + 3*z + 6*z) + (z + 0*z - 2*z)*(4*z - z - z).
13*z**2
Expand -4*p**3 + 3*p**3 + 4*p**3 + (-4 + 4 - p**2)*(p - 3 + 3) - 2 + 2*p**3 + 2.
4*p**3
Expand (d**2 + 3 - 3)*(-61*d**2 - 72*d**2 + 100*d**2).
-33*d**4
Expand (0*y + 8*y**4 + 0*y)*(-3*y - y + 3*y).
-8*y**5
Expand 6*s**5 + 3*s**5 - 3*s**5 + (-s - 1 + 1)*(s**4 - 3*s**4 + 3*s**4) + 0*s**5 + 2*s**5 - 3*s**5 + 2*s**5 - 2*s**5 + 2*s**5.
6*s**5
Expand (-3*h - 11*h - 6*h)*(-3 + 2 + 0)*(-3 + 4 + 0).
20*h
Expand (2*w**2 - 1 + 1)*(-4 + 1 + 5) - 14*w**2 - 102*w + 102*w.
-10*w**2
Expand 519 - 519 + 12*n + (0 - n + 0)*(-3 + 3 + 1) + 2*n + 0*n - n + 2*n - n + 0*n + 2*n + 3*n - 4*n + (1 + 4 - 3)*(n + 4 - 4).
16*n
Expand -2*f**5 + 0*f**5 + f**5 + (-4 - 3*f + 4)*(-3*f**4 + 3*f**4 - 2*f**4) + 0*f**5 - f**5 + 2*f**5.
6*f**5
Expand (-4 + 5 + 3)*(-1 - 5 + 3)*(0*z**5 + 0*z**5 - z**5).
12*z**5
Expand (1 + 1 - 4)*(3 - 3 - 2*i) + (1 + 3 - 3)*(0*i + i + i) + 3*i - 5*i + 4*i - 2*i - 20*i + 0*i.
-14*i
Expand (2*j + j**3 - 2*j)*(2*j - 6*j + 2*j) - 5*j**4 + 3*j**4 + 0*j**4 + (4 - 2 + 0)*(-j**4 + j**4 + 4*j**4).
4*j**4
Expand (-5 + 3*h + 5)*((1 + 1 - 4)*(-4 + 0 + 5) - 2 + 2 + 2 - 2 - 1 - 3).
-18*h
Expand (3*v + 0*v - v)*(2 - 2 + 3*v) + 2*v - 2*v + 3*v**2.
9*v**2
Expand 6 - 6 + 10*o**5 - 2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
14.
-c357a
What is 15452033 (base 6) in base 4?
2012211111
What is -45c97 (base 16) in base 4?
-1011302113
Convert -2442225 (base 6) to base 2.
-11111110001001001
Convert -24111134 (base 5) to base 11.
-142327
What is ec227 (base 16) in base 13?
27b317
Convert 1011011110101 (base 2) to base 3.
22001200
Convert 16742 (base 9) to base 3.
120211102
55541 (base 11) to base 5
10034020
What is -101248 (base 12) in base 14?
-6761a
Convert -151153336 (base 7) to base 3.
-200212120211011
What is -43804 (base 13) in base 14?
-3275d
Convert -2375a (base 16) to base 2.
-100011011101011010
What is 12301211 (base 6) in base 8?
1407107
101441232 (base 5) to base 8
1467102
-1435032 (base 6) to base 8
-241474
What is 3d0883 (base 15) in base 11?
1727547
11c7b8 (base 15) to base 13
23abb7
What is -732ac1 (base 14) in base 5?
-1443401013
What is -1125453032 (base 6) in base 12?
-4271178
Convert -3033314023 (base 5) to base 4.
-113131233202
What is 14322232 (base 5) in base 11?
a3969
-100010010010100101010 (base 2) to base 12
-4622b6
-2117bd (base 15) to base 13
-431878
200605 (base 7) to base 2
1000010001111001
502531 (base 7) to base 2
10100101111111100
3031042 (base 5) to base 4
23330001
What is 1102243003 (base 5) in base 10?
2384128
What is 44cb8 (base 13) in base 15?
27176
What is 1607514 (base 9) in base 16?
d9978
Convert -732431 (base 8) to base 3.
-110100021212
Convert 222702 (base 8) to base 10.
75202
-11011001001000000110100 (base 2) to base 14
-d32c04
What is -110120122120 (base 3) in base 14?
-66341
Convert -2302013 (base 4) to base 11.
-8623
Convert -12ee40 (base 15) to base 13.
-25b906
Convert -25607854 (base 9) to base 16.
-c00145
What is 7687 (base 9) in base 11?
4293
What is -123231201 (base 4) in base 10?
-113505
Convert -21222021001 (base 3) to base 6.
-3210301
What is -130101341 (base 5) in base 4?
-2121121322
-2371984 (base 12) to base 5
-3224213430
1425130 (base 6) to base 3
11010210000
What is -1533744 (base 11) in base 12?
-a67563
Convert -225423 (base 8) to base 4.
-102230103
-214320030 (base 5) to base 10
-932515
Convert 101021211020 (base 3) to base 13.
71256
What is 23404767 (base 8) in base 15?
6b0574
Convert -42a156 (base 11) to base 15.
-d8838
What is -2619da (base 14) in base 11?
-815947
14016 (base 9) to base 8
22424
1011111100000000010001 (base 2) to base 9
5788607
104341112 (base 5) to base 11
298530
-10101011001101000 (base 2) to base 11
-5a948
Convert 2000212001 (base 3) to base 10.
39988
-1031204323 (base 5) to base 10
-2209963
What is 111001100111110010 (base 2) in base 6?
5020402
27e71e (base 16) to base 14
4c102a
-1290a8 (base 11) to base 6
-4201102
Convert 12328022 (base 9) to base 14.
b33c56
What is 2b452 (base 13) in base 11?
566a5
-31121222301 (base 4) to base 12
-1214ba9
102162 (base 9) to base 4
32303210
161035 (base 9) to base 15
1e5bb
146431 (base 8) to base 9
80018
What is -226a186 (base 11) in base 12?
-13b3597
-19e48 (base 15) to base 16
-148fa
3054630 (base 9) to base 14
306325
-54db5 (base 14) to base 4
-302033003
What is -111220451 (base 6) in base 16?
-1ee44f
What is -2d14c1 (base 14) in base 8?
-6013401
What is -11100001110011110101000 (base 2) in base 3?
-111220220222111
What is 62a2 (base 13) in base 11?
a291
4533513 (base 10) to base 14
860225
39ccd (base 14) to base 6
3015341
What is -1120212011 (base 3) in base 10?
-31243
10010111000001000101 (base 2) to base 14
1215d3
-231158d (base 14) to base 3
-1011110012102000
What is -13285216 (base 9) in base 6?
-352231540
What is -555343 (base 10) in base 2?
-10000111100101001111
What is 664427 (base 10) in base 8?
2421553
What is -208073 (base 16) in base 11?
-1225366
3404014113 (base 5) to base 9
15068188
What is 200020112012 (base 3) in base 9?
606465
Convert -2a467b (base 12) to base 10.
-712895
What is 5152a (base 12) in base 10?
106162
What is fc55e (base 16) in base 7?
11533212
16673570 (base 8) to base 2
1110110111011101111000
-10001010001110110110111 (base 2) to base 13
-c27941
What is -190635 (base 10) in base 11?
-120255
What is -1482332 (base 11) in base 8?
-11531021
What is 1105036 (base 7) in base 14?
378c6
2563016 (base 7) to base 16
51bbd
What is 235339 (base 10) in base 8?
713513
Convert -110000110111110110001 (base 2) to base 15.
-21978c
1110110101001100010 (base 2) to base 14
c9174
Convert 202221120000 (base 3) to base 11.
26183a
-8a65280 (base 11) to base 7
-251650022
Convert -1b7598 (base 16) to base 3.
-10101102112222
Convert 2012100011101 (base 3) to base 13.
31b814
What is -1110110001011001000100 (base 2) in base 7?
-44625401
What is -15646413 (base 9) in base 8?
-35664016
Convert 131013023 (base 4) to base 16.
1d1cb
Convert 50531314 (base 7) to base 16.
403b2e
Convert 11001000010001111101 (base 2) to base 3.
1112200022022
What is -3947a (base 15) in base 4?
-230233201
Convert 133213013202 (base 4) to base 11.
474aa05
Convert -34032522 (base 7) to base 14.
-56abb9
-40845 (base 13) to base 10
-115653
133520245 (base 7) to base 5
4210133340
Convert 7006041 (base 9) to base 11.
21142a8
What is -7040 (base 13) in base 10?
-15431
Convert -1001101000101011111 (base 2) to base 11.
-1a624a
a00107 (base 11) to base 7
16455511
What is -1655ab (base 14) in base 12?
-319283
What is -8381 (base 12) in base 7?
-56563
What is 1000010110010100011111 (base 2) in base 5?
1030013300
Convert -3651837 (base 12) to base 2.
-101000010001100001101011
Convert -4527241 (base 8) to base 16.
-12aea1
Convert -985cf (base 16) to base 11.
-396975
Convert -1100000111111000101 (base 2) to base 15.
-7ca88
Convert 3100322 (base 7) to base 8.
1322375
32586 (base 13) to base 4
112032120
-3132146 (base 8) to base 14
-179606
-8a6ec (base 16) to base 3
-1001210210202
-81b6c (base 16) to base 15
-a7658
What is 5425404 (base 7) in base 9?
1218316
Convert -22443 (base 15) to base 8.
-324643
What is 1535c3 (base 13) in base 6?
15103125
What is 1000111101111111011 (base 2) in base 14?
79159
Convert 158c20 (base 14) to base 13.
2053c2
What is a45a3 (base 15) in base 6?
15100100
What is -724a6 (base 15) in base 2?
-1011000011011000101
-23616030 (base 7) to base 3
-10221222000010
What is 26 (base 7) in base 11?
19
What is 122775 (base 9) in base 13?
27a58
-1011203 (base 5) to base 11
-11385
-11111111110100100011 (base 2) to base 10
-1047843
Convert 12660669 (base 10) to base 5.
11220120134
Convert -2b838 (base 15) to base 10.
-140228
What is 2402541 (base 6) in base 11?
85a55
What is 101725 (base 11) in base 7?
1246652
What is -421340113 (base 5) in base 10?
-1746283
What is -121043040 (base 5) in base 4?
-2022002103
Convert 7bc70e (base 15) to base 7.
101162462
51442 (base 14) to base 13
6b0a3
What is a587 (base 11) in base 15?
4240
Convert -10011111001101 (base 2) to base 13.
-483a
Convert -100001000111100100110 (base 2) to base 7.
-12136625
146864 (base 10) to base 15
2d7ae
What is -8491dc (base 14) in base 9?
-8380218
Convert -12106 (base 14) to base 6.
-540110
55598 (base 10) to base 2
1101100100101110
Convert -3204230 (base 5) to base 3.
-2201122112
Convert 11110000010 (base 2) to base 6.
12522
-717532 (base 11) to base 6
-40405043
1110000101111110001111 (base 2) to base 14
6c2555
-101011020022202 (base 3) to base 4
-110211303320
Convert -14a33d5 (base 14) to base 5.
-10034331444
What is -763a912 (base 11) in base 15?
-12a2e2d
10021212101020 (base 3) to base 11
a95184
Convert -10010101000100110111101 (base 2) to base 7.
-56343523
What is 7b48 (base 13) in base 12?
a016
What is -412424 (base 7) in base 2?
-10001001110000001
218029 (base 10) to base 4
311032231
Convert -25a2a8 (base 12) to base 3.
-1011110011102
6a5 (base 14) to base 10
1321
101101412 (base 5) to base 16
64007
-b87a9 (base 15) to base 10
-585609
What is 48854 (base 12) in base 14?
279cc
What is -14456 (base 14) in base 15?
-ed52
Convert 132610 (base 9) to base 16.
13b2d
-203000103221 (base 4) to base 3
-122021012111212
Convert 1034312 (base 7) to base 12.
61178
Convert 42d3ec (base 15) to base 9.
5881866
Convert 1342124 (base 6) to base 9.
124687
Convert 1ac54 (base 14) to base 4.
100222322
What is -212020022201 (base 3) in base 13?
-130204
What is -1021020000220 (base 3) in base 5?
-133023440
Convert -20402202 (base 5) to base 9.
-276805
Convert -a8b34 (base 14) to base 13.
-113b0a
-246ca1 (base 15) to base
|
{
"pile_set_name": "DM Mathematics"
}
|
x**2 + 5*x + 5. What is u(q)?
5
Let q(f) = -2*f**3 - 7*f**2 + 17*f - 1. Let k(z) = -11*z**3 - 43*z**2 + 104*z - 9. Let a(r) = -3*k(r) + 17*q(r). Calculate a(6).
16
Let z(k) = 8*k - 207. Let w(y) = y**3 - 45*y**2 + 267*y - 10. Let r be w(38). Give z(r).
17
Let i(m) = -4*m**2 + 17*m - 7. Suppose 3*z - 4*y = 15, 2*z + 93*y - 92*y - 10 = 0. Calculate i(z).
-22
Let p(r) = -r**2 - 7*r - 11. Suppose -3*f - 15 = -3*v, -v - 3 = -0. Let t(b) = 18*b + 140. Let q be t(f). Give p(q).
1
Let u(w) = -4*w + 6. Let s(r) = 2 - 3 + 0 - 4*r + 6. Let i be ((-10)/8)/(6/(-24)). Let a(x) = i*s(x) - 4*u(x). Determine a(2).
-7
Let d(m) = m**2 + 6*m + 5. Suppose 4*p + 18 = -0*h + 2*h, -1 = h. Let n be d(p). Let s(k) = -8 - 7*k - 17*k - 1 + 25*k + 10 + 9. What is s(n)?
10
Let u(a) = -15*a + 117. Let c be u(16). Let q = c - -127. Let z(x) = -2*x + 5. Calculate z(q).
-3
Let q(m) = m - 5*m - 6*m + 9*m. Let t be (5/(-2))/5*2. Calculate q(t).
1
Let q(p) = -p**2 + 4*p + 5. Let u(a) = 26*a - 61. Let c be u(7). Let x = c + -115. Determine q(x).
-7
Let g(l) = -70012*l + 22 - 70011*l + 140002*l - l**2. Give g(-21).
22
Let y(a) = 21*a + 69. Let d be ((-1512)/(-1764))/(2/14*-2). Calculate y(d).
6
Let l(i) = -2*i**2 + 5*i - 15. Let f = 1546 - 1543. Give l(f).
-18
Let c(z) be the second derivative of 1/3*z**3 + 0 - 201*z - 1/20*z**5 + 7/12*z**4 - 5/2*z**2. Suppose a + 3 = -j - 4*j, -2*a + 6 = 4*j. What is c(a)?
9
Let o(q) = -q**3 + 14*q**2 + 103*q - 556. Let y be o(18). Let k(l) = l**2 - 3. Determine k(y).
1
Let s be ((-9)/12)/((-3)/(-4) - 1). Suppose s*w + 28 = 28. Let x(o) = o - 4*o + 3 + 2*o - o**3 - o**2 + 0*o. Give x(w).
3
Let n(l) be the first derivative of -l**3 + 3/2*l**2 + 5*l - 1/4*l**4 - 46. Determine n(-4).
9
Let z = -891 + 905. Suppose 0 = z*r + 38*r - 14*r. Let t(k) be the first derivative of -k**2/2 - 13*k + 2. Give t(r).
-13
Let m(p) = -1383*p**2 + 2*p - 4 + 2 + 1381*p**2 + 6*p**3 + p. Give m(1).
5
Suppose -9*x - 14 + 41 = 0. Let u(k) = 4*k + 30*k**2 + 0*k**3 - 58*k**2 + 32*k**2 + 4*k**x - 2 - 3*k**3. Determine u(-3).
-5
Let p(x) = x**3 + 14*x**2 + 12*x - 18. Let u be 8/1 - (8 - 5). Let v(f) = -f**2 + 12. Let b be v(u). Determine p(b).
-5
Let a(u) = -2*u + 14. Let n be a(4). Let r(s) = 3*s**3 - 2*s**2 - 44*s + 8. Let h(x) = -x**3 + x**2 + 15*x - 3. Let p(b) = n*r(b) + 17*h(b). Calculate p(-6).
15
Let c be 137/23 - 45/(-1035). Let o(k) = k**2 - 13*k + 14. What is o(c)?
-28
Let a(n) = 19*n - 687. Let m be (107 + -125)/((-3)/6). Give a(m).
-3
Suppose 0 = 3*h + 3*z, 11*z - 13*z = 8. Let j(s) = 6*s**2 - s + h - 19 + 19. Determine j(3).
55
Let a(w) be the third derivative of w**2 + 1/120*w**6 + 0*w + 0*w**4 + 0*w**5 + 9/2*w**3 + 0. Let b(z) = -z**2 - 36*z - 155. Let v be b(-5). What is a(v)?
27
Let u = 425 - 420. Let k(z) = -8*z + z + u*z - 4*z + 3 + 4*z. Determine k(4).
-5
Let y(f) = -f - 2. Suppose -30*t + 44 = -26*t. Let q = 16 - 11. Suppose p = -7*v + q*v - t, -4*v + 3*p = 27. Determine y(v).
4
Let o(z) = -5*z**2 - 20*z + 1. Let x(j) = j**2 - 4*j + 1. Let i(t) = -3*t**2 + 30*t - 6. Let m(d) = i(d) + 5*x(d). Let s(f) = 7*m(f) + 3*o(f). Determine s(9).
5
Let v(n) = -n**2. Let i(c) = -9*c**2 + c - 2. Let o(m) = -i(m) - 2*v(m). Let g be 1/(-3) - (-256)/192. Determine o(g).
12
Let p(t) be the second derivative of t**4/12 + 16*t**3/3 + 41*t**2 + 243*t + 4. Determine p(-29).
-5
Suppose 5 = -5*v, 2*m - 29*v + 26*v - 5 = 0. Let n(w) = -24*w**3 - w + 1. Give n(m).
-24
Let k = -31 - -24. Let c(x) be the first derivative of x**3/3 + 5*x**2 + 2*x + 316. What is c(k)?
-19
Let x(y) be the first derivative of y**4/2 + y**3/3 + y**2/2 + 3110. Give x(-2).
-14
Let u(p) = p**2 + 5*p - 5. Let h be (-217)/(-21)*(22 + -4). Let t = h - 192. Determine u(t).
1
Let r(h) = h**2 + 6*h. Let x(v) be the third derivative of v**6/120 - 3*v**5/10 + 5*v**4/6 - 29*v**3/3 + v**2 + 35*v. Let o be x(17). Give r(o).
7
Let a = -417 + 284. Let c be ((-4)/(28/a))/1. Let v(s) = -s + 25. Calculate v(c).
6
Let d(q) = 35 - 7*q**2 - 4*q + 4*q**2 - 89 + 21*q + 4*q**2. Calculate d(-16).
-70
Let s(n) be the third derivative of 1/12*n**4 - 1/30*n**5 + 1 - 23*n**2 + 1/6*n**3 + 0*n. What is s(-1)?
-3
Let k(z) = -2*z**2 - 11*z + 26. Suppose 7*f - c = 4*f - 30, 0 = f + 2*c + 17. Determine k(f).
-95
Let y be 278/46 + (29050/(-1610) - -18). Let m(t) = 1 - 10 - 1 + t. Determine m(y).
-4
Let r(q) = -q**2 + 527*q - 5160. Let o be r(10). Let l(h) = 5*h**3 - 49*h**2 - 11*h + 11. Give l(o).
1
Let a(x) be the second derivative of x**3/3 - 5*x**2/2 - 2*x - 231. Determine a(0).
-5
Suppose 0 = -5*v - v + 18. Suppose 0 = j - 0*n + 3*n - 2, 0 = j - v*n - 2. Let g(h) = 13 - 9*h + 2*h + 21 - h**j - 30. Determine g(-7).
4
Let z(a) be the second derivative of -a**5/20 - a**4/3 - a**3/6 - 2*a + 64. Suppose 2*f = 3*o + 5*f + 15, 0 = 5*o + f + 17. What is z(o)?
-6
Let d(n) = 2*n**3 - 69*n**2 - 33*n - 84. Let j be d(35). Let c(v) = v**3 + 13*v**2 - 21*v - 102. Give c(j).
-4
Let m = 4 + -1. Let p(v) = 5*v + 4 - m*v - 3*v + 0*v. Suppose -162*f = -171*f. Calculate p(f).
4
Let g(t) be the third derivative of t**4/8 - 5*t**3/6 + 3*t**2. Let z(o) = o - 1. Suppose 11 = 5*u + 6*u. Let n(c) = u*g(c) - 2*z(c). Calculate n(5).
2
Let k(y) be the first derivative of -16 - 5/2*y**2 - y - 1/3*y**3. Calculate k(-7).
-15
Let d(q) = 7830*q - 59652. Let b(v) = 135*v - 1029. Let s(p) = -117*b(p) + 2*d(p). Calculate s(8).
9
Let g(x) = -4*x**2 - 5*x + 5. Let c(p) = p**2. Let t(h) = 5*c(h) + g(h). Let u = 11 + -25. Let z = -9 - u. Determine t(z).
5
Let n = -395 - -410. Let q(a) = n*a - a + 1 + 0 + 38*a. Calculate q(1).
53
Let f(u) be the first derivative of u**3/3 - 5*u**2/2 - 7*u + 924. Determine f(5).
-7
Let x(p) be the third derivative of 14*p**5/15 + p**3/3 + 50*p**2 + 10. Give x(1).
58
Let s(u) = -u + 1. Let i(x) = -x**3 + 21*x**2 + 23*x + 22. Let h be i(22). Let f = h + -55. Let q = -13 - f. Determine s(q).
3
Let w be (-584)/(-72) + -8 - (-52)/18. Let i(l) = w + 5*l - 13*l + 7*l - 2. Let f = 15 - 19. Determine i(f).
5
Let n(a) = 56392*a**2 + 7 - 26*a - 112788*a**2 + 56395*a**2. Give n(-26).
7
Let a be (-1472)/138 - 1/3*-2. Let f be 49/(-35) + 4*(-1)/a. Let r(h) = 4*h - 1. Determine r(f).
-5
Let g(x) = x**2 - 517*x**3 - 28 + 516*x**3 + 3*x - 5*x. What is g(0)?
-28
Let n(p) = p**2 + 13*p + 45. Let b be n(-7). Suppose -b*x - 5*x = -6*x. Let c(l) = -2*l - 7. Calculate c(x).
-7
Let h(o) = -928*o - 171. Let k(c) = 721*c + 128. Let j(m) = -7*h(m) - 9*k(m). Give j(-20).
-95
Let y(v) = -v - 8. Suppose -10*g + 0*g = 90. Let z be y(g). Let p(j) = 3*j - 2*j - 1 + 0*j. Determine p(z).
0
Suppose -3*j + 4*f - 3*f + 28 = 0, -5*j = -4*f - 49. Let z(s) = 5 + j + s - 9. Suppose -3*x = 4*d + 21, 0*d = 5*d + 2*x + 35. Give z(d).
-4
Let w(x) = -x**2 - 4. Suppose 153 = -48*c + 49*c. Suppose 2*j + c = 149. Give w(j).
-8
Let j = -73 - -66. Let m(y) = 6*y - 21 - 27*y**2 + 28*y**2 + 19. What is m(j)?
5
Let q(o) be the second derivative of -o**3/3 - 16*o**2 + 3278*o. What is q(6)?
-44
Let u(h) = 2073*h**2 - 2075*h**2 - 233 + 239 - h. Calculate u(2).
-4
Let s(y) = -y**2 + 27*y - 19. Suppose 3*h - 88 = -4*d - 10, 26 = h - d. Calculate s(h).
7
Suppose -5*f + 43 = -12. Let n(w) = -w + f*w**3 - 5*w**3 + 2*w**2 - 7*w**3. Suppose 0 = 7*i - 23*i + 16. Determine n(i).
0
Let t(d) = -22 - 6814*d + 3423*d + 3409*d. Calculate t(3).
32
Let m(p) be the third derivative of 0 - 4/3*p**3 + 0*p + 1/180*p**6 + 1/8*p**4 + 9*p**2 + 1/30*p**5. Let w(v) be the first derivative of m(v). Determine w(-2).
3
Let o(g) be the third derivative of -g**5/60 + g**4/6 - g**3/3 + 14*g**2. Let w(r) = -2*r**3 - 2*r + 1. Let k be w(-2). Suppose 24 = c + k. What is o(c)?
1
Let p be (-14)/(-6) - (-4)/6. Suppose -p*y + 8*y + 26 = -4*m, -1 = -m. Let i(v) = -42*v + v**2 + 80*v - 30*v + 1 + 7. Determine i(y).
-4
Suppose 5*p = 2182 - 552. Let n(b) = p - 4*b - b**2 + 326 - 649. Calculate n(-5).
-2
Let y(h) = 13*h**2 - 5*h + 1. Let b(w) be the second derivative of -4*w**4/3 + 5*w**3/6 - w**2 + 11*w - 3. Let i(r) = 4*b(r) + 5*y(r). Calculate i(4).
-7
Let m(i) be the third derivative of -i**7/1680 + i**6/720 + i**5/20 - 9*i**3 - 51*i**2 - 4. Let k(c) be the third derivative of m(c). Give k(0).
1
Let m(d) = d - 3. Let y(g) = 6*g**2 - 2*g - 2. Let c = -10 + 9. Let q be y(c). Suppose -q = 4*w + 6. Give m(w).
-6
Let j(y) be the third deriva
|
{
"pile_set_name": "DM Mathematics"
}
|
a composite number?
True
Suppose 5*p + 29518 = 4*g, 0 = 5*g + 37*p - 42*p - 36900. Is g prime?
False
Let f be (-404)/(-4) + -2 - 0. Suppose 0*j = 3*j - f. Is j prime?
False
Let f(t) = 332*t**2 + 24*t + 51. Is f(-18) a composite number?
True
Let a = 74 + -41. Let v = -29 + a. Suppose -5*t - 139 = -2*q - 2*t, 0 = -5*q + v*t + 365. Is q a composite number?
True
Suppose 4*t = -21*b + 26*b - 51303, -2*t - 4 = 0. Is b prime?
True
Let w = 78267 - 17440. Is w composite?
True
Let r = -19 - -52. Let p = -7 + 3. Let t = r - p. Is t composite?
False
Let v be (-2)/(-3) + 4048/48. Suppose -g - 44 = -2*n, 0 = -2*g + n - v + 9. Is 8/g - 5458/(-18) composite?
True
Suppose 4*c + 6906 - 2289 = a, 4623 = a + 2*c. Is a prime?
True
Let o = -17572 + 38109. Is o prime?
False
Let i = 41138 + 37101. Is i composite?
True
Let t(x) = -9*x - 3. Let j be t(1). Let q = 71 - j. Let d = q - 16. Is d composite?
False
Suppose -5*x - z + 5*z - 6037 = 0, 3*z - 9 = 0. Let u = -510 - x. Suppose 3*y - u = -2*y. Is y composite?
False
Suppose 0*v = -5*v + 30. Let c be 0 + -3 + 0 + v. Is 575/c - 6/9 composite?
False
Let u(w) = 40*w**2 - 6*w + 1. Let o(x) = x. Let c(z) = 4*o(z) + u(z). Let v be c(-3). Let g = -144 + v. Is g prime?
True
Suppose 5*t + 5*s - 30600 = 0, -s - 24478 = -4*t - 3*s. Is t composite?
True
Suppose 3*m + 4*y - 9*y = 13999, 2*m + 5*y = 9366. Is m prime?
True
Let b(t) be the third derivative of 7*t**5/30 + t**3/6 + 13*t**2. Suppose -2*w - 10 = 2*z - 2, 0 = 4*w - 5*z + 7. Is b(w) a prime number?
True
Let w(h) = -13 + 146*h + 0 + 2. Is w(5) a prime number?
True
Let d(g) = 31*g**3 + 4*g**2 - 7*g - 1. Let j be d(3). Suppose 4*q = -4*w + 1960, -4*q + 1111 = 2*w - j. Is q composite?
False
Suppose -44479 = -5*y - k - 3747, 8162 = y - 5*k. Is y a composite number?
False
Let y = -6 + 12. Suppose 348 = -y*l + 4026. Is l a composite number?
False
Let c be (12/(-10))/(2/(-15)). Is ((-1626)/c)/(8/(-12)) composite?
False
Let o be (-32)/(-20)*2/(4/(-130)). Is 4/(-26) - 111608/o a composite number?
True
Let a be 40/260 - (-28)/(-13). Let j = 4 + a. Suppose -264 = -j*f + y, -5*f + 649 = 4*y - y. Is f prime?
True
Suppose -13*w + 16*w - 8331 = 0. Is w prime?
True
Let w = 13 - 13. Suppose w = -2*m - 1 - 1, 3*m = -h - 8. Let c = h + 51. Is c composite?
True
Let l = -29 - -30. Is (-462)/(-3) - (l + -2) composite?
True
Suppose 0 = -12*t + 21*t - 278253. Is t prime?
False
Let l(w) be the second derivative of 3*w**4/4 + w**3 - w**2 + 22*w. Is l(7) a prime number?
False
Let w = 239 - 117. Suppose 0 = -i + w + 629. Is i a prime number?
True
Suppose 1272*d = 1267*d + 1675. Is d a composite number?
True
Let y(d) = -280*d + 3. Suppose 5*t - 13 = -m, t + 3*t = 4*m + 20. Is y(m) composite?
False
Suppose 1756 = -3*b + 5*j + 24082, -2*j - 37229 = -5*b. Is b a composite number?
True
Suppose 0 = -4*y - 359 - 213. Let k(t) = -61*t**2 - 2*t + 3. Let u be k(-3). Let i = y - u. Is i composite?
False
Let v be (-3)/21 + 0 + 40/35. Is (2646/v + 8)*(-1 - -2) prime?
False
Suppose 0 = -9*j - 164425 + 1044094. Is j a composite number?
True
Let t(p) = 247*p**2 - 15*p + 4. Let k be t(6). Suppose -5879 = -2*h - 5*l, -6*h + k = -3*h + 5*l. Is h prime?
True
Suppose 0*h + 2*h - 92 = v, -5*v + h - 496 = 0. Is ((-127)/5)/(20/v) a composite number?
False
Let o(k) = k**3 + 19*k**2 - 1. Let h(n) = 21*n**2 + 29*n - 1. Let z(g) = -5*g**2 - 7*g. Let u(q) = 2*h(q) + 9*z(q). Let a be u(-3). Is o(a) composite?
True
Is (-3*1 + 83/(-2))*-34 a prime number?
False
Is (1 - 204/180) + 334367/15 composite?
False
Suppose 3*u - 4648 = -4*k, k + 3*u - 723 = 448. Let f = 2220 - k. Is f prime?
True
Let m(k) = -k**3 + 6*k**2 - 3*k - 1. Let g be m(4). Let j = g + 37. Let c = j - 10. Is c a prime number?
False
Suppose 5*q - 4*q + 498 = -3*u, -5*q - 5*u - 2540 = 0. Let d = q + 944. Is d a composite number?
False
Let l(u) = -u**3 - 7*u**2 + 6*u - 5. Let v(d) = -d**3 + 15*d**2 - 2*d + 22. Suppose -f - 2*f + 45 = 0. Let t be v(f). Is l(t) composite?
False
Let x = 186703 + -106394. Is x prime?
True
Let a = 33733 - 19807. Suppose m = a - 4279. Is m composite?
True
Is (22587*((-10)/(-3))/5)/2 prime?
True
Let d(z) = -2*z**3 - 2*z**2 + 2*z + 35341. Is d(0) prime?
False
Suppose -4*b + 617 + 787 = 5*s, 565 = 2*s + 5*b. Let j = s - 157. Is j composite?
True
Let p = -22 + -3. Let v = p + 62. Is v composite?
False
Let j be (-3)/(12/4)*1423. Let n = 4362 + j. Is n composite?
False
Let z(g) = 31*g - 26. Let x(i) = -1. Let l(a) = -2*x(a) - z(a). Is l(-5) a prime number?
False
Let v = -4991 - -11155. Suppose 5*t + 1744 - v = -5*d, 2*t = 3*d + 1793. Is t prime?
False
Let x(l) = -759*l + 175. Is x(-8) prime?
True
Let a be ((-7)/(-14))/(2/(-7172))*-1. Suppose -3*h = -4*h + a. Is h a composite number?
True
Is (9/(-12)*-353)/(4/16) a composite number?
True
Suppose 83*a = 79*a + 16772. Is a a prime number?
False
Let p(r) = -r**3 + 8*r**2 - 7*r + 5. Let n be p(7). Suppose -n*o + 654 = -8*o. Let d = o + 347. Is d a composite number?
True
Let i(a) = -a**3 + 4*a**2 + 4*a + 8. Let x be i(5). Suppose 0 = -5*m - x*m + 2392. Is m prime?
False
Suppose 0 = -4*n - 4*t + 61048, -4*t + 1 + 11 = 0. Is n a prime number?
True
Let g = -56 + 59. Suppose -g*w + 1473 = -4*p, -6*w + 3*p + 1957 = -2*w. Is w a composite number?
False
Let m = 405 + -42. Let i(o) = -3*o**3 - o**2 + 3*o + 2. Let c be i(-2). Let w = m + c. Is w prime?
True
Let y be 22 + -3 + (-2 - -3). Suppose y = -5*t, 0*f - 5*t = f - 74. Is f a prime number?
False
Suppose 21585 = 7*z - 24678. Is z a composite number?
True
Is 12948/20 - 12/30 composite?
False
Suppose -4 = -3*r + 11. Suppose 2*o - 4*v = 550, 938 + 423 = r*o + 4*v. Suppose -3*i + o = -0*i. Is i composite?
True
Let y = -1710 - -11575. Is y composite?
True
Suppose -3*r + r = 2*n - 47910, -r = -3*n + 71857. Is n prime?
False
Suppose 0 = -2*a + 128 - 20. Suppose -a + 665 = k. Is k a prime number?
False
Let u be (-2)/9 + (-10920)/189. Is (u/(-4))/(1/26) a prime number?
False
Suppose -12*r + 10*r = 3*h - 25513, 20 = 4*r. Is h a prime number?
True
Suppose 6 = -3*x + 5*x. Suppose 3*k - 657 = -x*v - 0*v, 4*v = -12. Suppose -3*r - 2*h + k = r, -2*r + 96 = -2*h. Is r composite?
False
Let u be 1/(-2)*200/(-5). Is (-213)/((-4)/(u/3)) prime?
False
Let j(v) = 44*v**2 - 6*v + 9. Let w be j(-9). Let s = w + -1714. Is s composite?
False
Let i be (18 - 0)*((-1071)/(-14) - 6). Let o = i - 888. Is o composite?
True
Let g = -294 - -488. Suppose 6 = 4*m - 2*m. Suppose -m*n = -n - g. Is n a prime number?
True
Let b be (6 + -2)*(-181)/(-2). Suppose -7*z + 5*c - 920 = -2*z, 0 = 2*z + 4*c + b. Let u = -74 - z. Is u prime?
True
Let w = -1376 - -2510. Let j be 5 + 2/1*-1. Suppose 5*s - w = -3*r, -2*r = j*r + s - 1868. Is r a composite number?
False
Suppose 0 = -2*d - 8*d + 364370. Is d composite?
True
Suppose 3*b = -2*p - 26, -p - 4*b - 14 = -2*b. Is (8/(-20))/(p/4775) a composite number?
False
Suppose -153*g - 14894 = -175*g. Is g a prime number?
True
Is -8*(-3)/6*18947/4 a prime number?
True
Let d = 165 - -584. Let w = d + 306. Is w a composite number?
True
Suppose 0 = -h - 2*j - 4, 10 = 4*h - 2*h - 5*j. Suppose 2*x - 4199 = -2*n - n, h = -5*n + 3*x + 6992. Is n composite?
False
Let k = 36068 - 7287. Is k composite?
True
Suppose -4*u - a + 96 + 4128 = 0, 4*u = a + 4216. Is u composite?
True
Is 31454/(-8)*5*20/(-25) composite?
False
Let w be (-24)/16*2*8. Let l = 23 + w. Is 3/(l + -2) + 24 a composite number?
False
Is (1/8*-13042)/(2/(-56)) composite?
True
Suppose 0 = 11*h - 51 + 7. Is 4337*h/24 + 1/6 prime?
False
Let u = 1407 + 62. Is u a composite number?
True
Suppose -4*t + 533 = -0*u + u, 685 = 5*t - 5*u. Suppose 5*j + s - 2*s - 210 = 0, -s = 3*j - t. Let r = 42 + j. Is r prime?
False
Suppose 1268 + 532 = 5*o - 2*v, 3*o - v - 1079 = 0. Is o a prime number?
False
Suppose 3*f + 21 + 222 = 0. Let c = 148 + f. Is c composite?
False
Let g = 4214 - 2965. Is g prime?
True
Suppose -5*x + 5214 = -4*h - 36, h = 5*x - 5265. Suppose -3*j = -x + 61. Is j prime?
True
Let u = 1906 - 924. Is u*-2*3/(-12) a composite number?
False
Let r = -2746 + 6089. Is r prime?
True
Suppose 4*r - 474 - 310 = 0. Suppose 0 = -5*n + n + r. Is n a composite number?
True
Suppose 4*c = 20*c - 49424. Is c prime?
True
Let d(i) = 3*i**3 - 2*i**2 - 8*i + 4. Let j be d(7). Suppose -2*t = 3*z - 4*z + 887, -j = -z + 4*t. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
2/27229, -5, 0.2?
-5
What is the fifth biggest value in 1.5, 3699, -3, 44, -2/3?
-3
Which is the fourth smallest value? (a) 4/21 (b) -3 (c) -2/7 (d) 223 (e) -1/13 (f) -0.5
e
What is the third smallest value in -5, -242105, 185?
185
What is the second biggest value in 123, 7, 9, -2, 4, -3/8?
9
Which is the second smallest value? (a) 2 (b) -2.25 (c) 4/2225 (d) -0.6 (e) -4 (f) 5
b
What is the second smallest value in 0.3, 139.5, 3/7, 4/7, -57?
0.3
What is the fifth biggest value in -1, -0.2, 5, -0.1, 68.1, 0.02, 15?
-0.1
Which is the fifth biggest value? (a) -0.3 (b) -21 (c) -0.1 (d) 0.209 (e) 0.12 (f) 0.33
a
Which is the smallest value? (a) 24 (b) -20206 (c) 5 (d) -3/2
b
What is the biggest value in -5, 51.4737, 0.054?
51.4737
What is the smallest value in -2/3, -1/3, 331, 1/143, 2/3, -0.4, 1/9?
-2/3
What is the second smallest value in -5, -0.37, -2.4, 640?
-2.4
Which is the third smallest value? (a) 2062 (b) -3 (c) 5 (d) 474
d
What is the second biggest value in -11, -63, 2/611, -5, -10/31, -0.3?
-0.3
Which is the second biggest value? (a) 538 (b) -4/7 (c) -2/9 (d) 51/2 (e) -2
d
Which is the third smallest value? (a) 5 (b) 0.02 (c) -5 (d) 21 (e) 122 (f) 0.06 (g) 3/2
f
Which is the sixth biggest value? (a) 4 (b) 0.2 (c) 549 (d) -1.6 (e) 1 (f) -1 (g) 3
f
Which is the fifth biggest value? (a) 406 (b) 0.0065 (c) -1 (d) 22.7 (e) 1/6
c
Which is the third biggest value? (a) -153 (b) -69 (c) 321/7
a
Which is the fourth biggest value? (a) -0.5 (b) -49 (c) -4 (d) -268.5 (e) 0.1 (f) 0.2
c
What is the third smallest value in -6/17, -21756, 4/11?
4/11
Which is the smallest value? (a) -2/19 (b) -0.023134 (c) -2.45
c
Which is the second biggest value? (a) 1413 (b) -1/43 (c) -4/7 (d) -0.01 (e) 0.05
e
Which is the smallest value? (a) -3 (b) 345 (c) 291486
a
What is the fourth smallest value in -259, 31, 0.183, 4?
31
Which is the smallest value? (a) 60 (b) -2 (c) -8 (d) 1091/14
c
What is the third smallest value in 1/3, -5, 22102, -38?
1/3
Which is the second biggest value? (a) 2/3 (b) 26398 (c) -8 (d) -21
a
Which is the fifth smallest value? (a) -0.2 (b) -2/15 (c) -1/6 (d) -19 (e) 108 (f) 12
f
Which is the seventh biggest value? (a) 6 (b) -3 (c) 0.2 (d) -0.04 (e) -2/13 (f) 85 (g) -69
g
What is the fourth smallest value in 2/5, 0.1, 130.8, -9570?
130.8
Which is the biggest value? (a) -1 (b) 6 (c) 1 (d) -8 (e) -0.033 (f) -11.4 (g) 4/5
b
What is the second biggest value in 4, 9118.2, -9, -2/17, 0, 1?
4
What is the second smallest value in 2/89, -139461, -3, -0.08?
-3
What is the third smallest value in -2, 22/27, 12?
12
What is the third biggest value in -0.4, -0.5, -3, 6, 348, 2, -1?
2
Which is the smallest value? (a) 2 (b) -0.1 (c) -891905
c
Which is the biggest value? (a) -2/7 (b) 0.15 (c) 105.421
c
Which is the second smallest value? (a) -5 (b) 155355/7 (c) 5
c
What is the fourth biggest value in -10, -63, -1, -51/14, -0.05, -1/6?
-51/14
Which is the smallest value? (a) -4 (b) 0.073 (c) 3 (d) 45 (e) 4/7 (f) -123 (g) -7
f
Which is the fourth biggest value? (a) -4/7 (b) 2/11 (c) -0.3 (d) 0.0074 (e) 1/2
c
What is the smallest value in 5, 2/7, -0.1, -0.0687, 0.4, 20, 125?
-0.1
Which is the third biggest value? (a) -5 (b) -4/220121 (c) -9
c
What is the fourth biggest value in -436, -45.2, -5, 4.1?
-436
Which is the third smallest value? (a) 2 (b) 9 (c) -1.214 (d) -2/3 (e) -5/3 (f) -1/2
d
Which is the smallest value? (a) 10 (b) 0.17132 (c) 2/31 (d) -1/3 (e) -2/5 (f) 3 (g) 0.2
e
What is the second biggest value in 0.016157, -2/3, 267?
0.016157
What is the second smallest value in -1/9, 1.575, 3/2, -2/5, 4.55, 4?
-1/9
Which is the third biggest value? (a) -0.4 (b) 4288439 (c) -0.15
a
Which is the second smallest value? (a) 4864349/6 (b) 3 (c) 1
b
Which is the second smallest value? (a) -7260512 (b) 0.01 (c) -2/11 (d) 5
c
What is the fourth biggest value in 0.3, 0.4, 0.1, 0, 495/2?
0.1
What is the second biggest value in 14.73, 2/245, -5?
2/245
What is the second smallest value in 2, -2/7, -2923, 2/11, -0.4, 65, 10?
-0.4
Which is the third smallest value? (a) 2/9 (b) -3 (c) 4/7 (d) 3443 (e) -0.2 (f) 0 (g) 1
f
What is the sixth biggest value in -1/8, -5, -9951/52, 1/7, -1/4, 4, -6/11?
-5
What is the second biggest value in 180, -4, -946?
-4
Which is the biggest value? (a) -12 (b) -3/2 (c) -3/5 (d) 126 (e) 23.6 (f) 2
d
What is the second smallest value in 469/2, -7.12, -2/5, -3?
-3
What is the smallest value in -0.0329, 8, -1/9, 1.19, 2/3?
-1/9
What is the second biggest value in 2, -2354, 6.4, -1/4, -1, 0.3?
2
What is the second biggest value in -2/7, -1018, -28, 395?
-2/7
Which is the second smallest value? (a) -0.1 (b) -2 (c) 8/41041 (d) 0.2 (e) 3 (f) -5/2
b
What is the fifth smallest value in 2118, -3, -0.417, -0.8, 1/11?
2118
What is the fourth smallest value in -0.1, 0.04, 0.5, -7395421?
0.5
Which is the sixth smallest value? (a) -2 (b) 113 (c) 0.2 (d) 4 (e) 0.105 (f) 0
b
What is the fourth biggest value in -1, 1/6, -42186, 2, -1.37?
-1.37
Which is the fifth smallest value? (a) 2/219 (b) -1/4 (c) 2/15 (d) 2 (e) 3
e
What is the second biggest value in 0.4, 1/5, 2627/35, -3/5, 0?
0.4
Which is the third smallest value? (a) 1/4 (b) 1/2 (c) 39 (d) 0 (e) 16 (f) 215.4
b
What is the third biggest value in -0.069, 11, -0.1, -10809?
-0.1
Which is the biggest value? (a) 0.2 (b) 2/9 (c) -28 (d) -1846 (e) 1/7
b
Which is the third biggest value? (a) 66 (b) -943 (c) 33/4
b
Which is the smallest value? (a) 2/21 (b) -281 (c) 21 (d) -6
b
Which is the fifth biggest value? (a) -0.4 (b) -47630 (c) -1/53 (d) 2/9 (e) 0.1
b
What is the third smallest value in -47130, -1, -4, 0.623?
-1
Which is the biggest value? (a) 2/9 (b) -1/2 (c) 572555
c
What is the third smallest value in 24.9, 0.0098, -608?
24.9
Which is the second smallest value? (a) -4 (b) 1/12 (c) 0.2 (d) 3 (e) 1/7 (f) 99682
b
What is the fifth smallest value in 3, -1/4, 6917, 5, 10?
6917
What is the third smallest value in -155, -1.8, 1, 0.3, -3484?
-1.8
What is the third biggest value in 0.1105, 1048, -10?
-10
What is the fifth biggest value in 0.1, -2/11, -4/12461, 2/3, -14?
-14
What is the fourth smallest value in 0.4, 22/1193, 1, 454?
454
Which is the second biggest value? (a) -3 (b) 37 (c) 16/15 (d) 258
b
Which is the third biggest value? (a) -220 (b) -81 (c) 0 (d) -1/2 (e) -1.6 (f) -4 (g) -0.4
d
Which is the fourth smallest value? (a) -0.1779 (b) 2/7 (c) 0.6 (d) 3/4 (e) -10
c
Which is the second biggest value? (a) -1 (b) 28 (c) 2 (d) -3 (e) 25 (f) 3/2 (g) 337
b
Which is the fifth smallest value? (a) -5 (b) 5 (c) 0 (d) 21/3229 (e) 19/2
e
What is the fifth biggest value in 4, 496, 0.4, -0.469, 0.04, 0.3?
0.04
Which is the sixth smallest value? (a) 38 (b) 1/3 (c) -2 (d) -3/4 (e) -5 (f) -42
a
What is the fifth biggest value in 0.5, -0.1, -1/4, 3, 39, 2/9, -340?
-0.1
Which is the fourth biggest value? (a) -5/4 (b) -29 (c) -5 (d) -11/381
b
What is the fourth smallest value in -0.07, -4.6, -2/3, -0.5, -2/5, 0.4, -5?
-0.5
What is the fifth smallest value in 0.4, -2, -0.5, -5/4, 5, -3213/10?
0.4
Which is the smallest value? (a) -4/5 (b) -710 (c) -7 (d) 39.6
b
What is the second smallest value in 268.7, -2.5, -24/17?
-24/17
What is the smallest value in -3, 78994, -0.4, 12/5?
-3
Which is the fifth smallest value? (a) 0.4 (b) -3/28531 (c) 0 (d) -3 (e) -0.6 (f) 0.1 (g) -2
c
What is the third smallest value in 3/37, -3, 0.4, 6.43, -0.5?
3/37
What is the biggest value in 166888, -19, -2?
166888
Which is the sixth biggest value? (a) -2/21 (b) 736/3 (c) -6 (d) 0.12 (e) 4/5 (f) -4
c
What is the biggest value in 0.2, 896507, -2/11, 1.3?
896507
What is the sixth biggest value in -5, 2/67, 1, 28, -1/16, -0.05, 2/11?
-1/16
What is the fifth smallest value in -1/13, -0.2, 4, 2997, 2/9?
2997
Which is the second smallest value? (a) -0.1 (b) 104 (c) -3 (d) 5 (e) -1 (f) -719
c
What is the smallest value in -1/5, 15, -1.5, -28, 1?
-28
Which is the fourth biggest value? (a) -10/21 (b) 3 (c) 1 (d) 34
a
What is the second biggest value in -0.3, -82, 0.35725?
-0.3
Which is the fou
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0. Let b(v) = 4*v**3 - 3*v**2 - 5*v + 2. Let y be b(4). Let p(n) = -183*n + y*n - 5 + n**x - 1. Calculate p(-7).
-6
Let n(z) be the first derivative of z**5/20 - z**4/3 - z**3/3 + 3*z**2/2 - 16*z - 8. Let i(w) be the first derivative of n(w). Give i(4).
-5
Let t(z) = z**3 + 6*z**2 + 5*z - 6. Suppose -2*h + 6 = -2*x, 3*h + 11 = x - 2*x. Give t(x).
-6
Let o(z) = -3*z**2 + 7*z + 1. Let a(q) = -2*q**2 + 5*q + 1. Let m(s) = 6*a(s) - 5*o(s). Calculate m(2).
3
Let j(l) be the third derivative of -l**6/120 - l**4/24 - 3*l**3/2 - 28*l**2 - 3. Calculate j(0).
-9
Suppose 0*t + 2*t - 32 = -z, 4*z - 20 = -2*t. Let d(b) = 7*b**2 - t*b**3 + 17*b**3 + 3 - 3*b - 4*b**2. Give d(3).
-6
Let n(p) = p**3 + 5*p**2 + 3*p. Suppose -4*g - 4*y = 32, -4*g - 13*y - 12 = -14*y. Calculate n(g).
4
Let f(r) = -r**2 - 6*r - 7. Let l(j) = 2*j**2 - 31*j + 8. Let w be l(15). Determine f(w).
-14
Suppose -28*h = -30*h + 18. Let d(l) = -2*l**2 + 20*l - 8. Determine d(h).
10
Let h(c) = 2*c - 2. Let t be 8/20 + (-196)/(-35). What is h(t)?
10
Let y = 626 + -636. Let g(t) = t**2 + 10*t + 2. What is g(y)?
2
Suppose 2*f = 3*j - f - 30, 0 = -j + 3*f + 20. Let x(c) be the first derivative of 1/2*c**2 - 5 + j*c. Give x(-4).
1
Let s(l) = l**3 - 15*l**2 + 4*l + 8. Let h(x) = -4*x**3 + 63*x**2 - 15*x - 31. Let w(f) = 2*h(f) + 9*s(f). What is w(8)?
-6
Let o(y) = -y**3 + 3*y**2 + 4*y - 6. Let p(h) = -2*h**2 + 8*h - 2. Let d be (-1*9 + 0)*10/(-30). Let l be p(d). Give o(l).
-6
Let r = 5 + -3. Let i(g) = 3*g**r + 2*g + g - 5*g**2. What is i(3)?
-9
Suppose 0 = -b - b + 4. Suppose 0 = -b*u + 15 - 1. Let i(c) be the first derivative of -c**3/3 + 3*c**2 + 7*c + 26. Give i(u).
0
Let y(s) be the third derivative of -s**4/3 - s**3/3 - 2094*s**2. Suppose -d = -2*d - 2. What is y(d)?
14
Let m(f) = f**3 - 4*f**2 - f + 1. Let y be (-2)/11 - (570/110)/(-1). Determine m(y).
21
Let t = 21 + -13. Suppose -6*n + t = -2*n. Let f(c) = c**2 - 22 + 15 + n*c + 3*c. Calculate f(-5).
-7
Let z(u) = -3*u**2 - 11*u + 5. Let y(n) = -n - 1. Let v(a) = 5*a**2 + 17*a - 13. Let l(g) = -v(g) + 4*y(g). Let r(m) = -4*l(m) + 7*z(m). What is r(6)?
5
Let q(s) = -s**2 - 3*s - 3. Suppose -f - 8 = -b, 0 - 4 = -b. Determine q(f).
-7
Let q(o) = -27*o + 1. Suppose -51 = -5*d - 3*l + 18, -3*l = -2*d + 36. Suppose 16*h = h + d. Give q(h).
-26
Let z(a) = 3*a - 3. Let q(u) = -4*u + 4. Let x(m) = 4*q(m) + 5*z(m). Let f = -61 + 86. Suppose 6*n - f = n. Give x(n).
-4
Let m(k) be the first derivative of -k**7/840 + k**6/72 - k**5/120 - k**4/12 + 25*k**3/3 - 14. Let d(g) be the third derivative of m(g). Give d(3).
13
Let r = -60 - -42. Let j(m) = 6*m. Let a be j(-2). Let o = r - a. Let v(i) = -i**2 - 8*i - 4. Calculate v(o).
8
Let f(q) = 2*q. Let s be -12*4/10*(-160)/128. What is f(s)?
12
Let u be 1*(33/15 - (-3)/(-15)). Let h(q) = 5*q**2 + 4*q - 3. Give h(u).
25
Suppose -6 = -0*p + 2*p. Let q be p/(6/(-4))*1. Let l(r) = -3*r**2 - r**3 + 0*r**2 - 3 + 5*r**2 + 1 + 2*r**2. What is l(q)?
6
Let y(s) = -s**2 - s + 2. Let h be (141/6 - 20)*(1 + -3). What is y(h)?
-40
Let x(s) = -s**2 - 2*s. Let z(v) = 5*v**3 - 4*v**2 + 2*v - 1. Let b(f) = 14*f**3 - 11*f**2 + 5*f - 3. Let r(d) = -4*b(d) + 11*z(d). Let q be r(2). What is x(q)?
-3
Let s(g) = -g - 6. Let x be s(-8). Let l(z) = 7*z**2 + 7 + 0*z**2 - 2*z**2 - 4*z**x - 7*z. Give l(7).
7
Let l(z) = -14*z**2 - 17*z**3 + 8 + 37*z**3 + 1 - 2*z + 17*z - 21*z**3. Calculate l(-15).
9
Let m(d) = -d**2 - 5*d + 7. Suppose 0*h + 4*h + 20 = 0, -31 = -2*s + 5*h. Let i be s - (-1)/(2/18)*-1. Determine m(i).
1
Let g(q) = 37*q**2 + 3*q - 1 - 34*q**2 - 2*q**3 + 0*q + 4. Give g(-2).
25
Let x(q) = 7*q**2 - 3 - q**2 - 4*q**2 + 0*q**2 + q**3 + 4 - 3*q. Let u be 8/32 - 13/4. Calculate x(u).
1
Let l(k) = 27*k - 22. Let a(h) = 9*h - 8. Let x(p) = -8*a(p) + 3*l(p). What is x(-2)?
-20
Suppose -3*v = v - 16. Let l(d) = 5*d - 1 - v*d + 3*d - 3*d. Give l(-4).
-5
Let r(m) = m**3 - 3*m**2 + 4*m. Let k be r(3). Suppose -27 = -15*v + k*v. Let d(h) = h - 2. What is d(v)?
7
Let f(i) = 10*i**2 - 48*i + 66. Let q(m) = -7*m**2 + 32*m - 44. Let j(r) = 5*f(r) + 7*q(r). Let g be j(15). Let y(c) = -c + 3. Determine y(g).
-4
Let p = -94 + 27. Let t = 63 + p. Let s(o) = o**2 + 2*o + 1. What is s(t)?
9
Let r(q) = -16*q - 1. Let v be r(-2). Let i = 30 - v. Let j(l) = -8*l**3 + l**2 + 2*l + 1. Calculate j(i).
8
Let g(v) = v**3 - 11*v**2 - 12*v + 3. Let z be g(12). Suppose -z - 13 = -4*o. Let u be -1*(o - 10/(-5)). Let w(t) = -3*t - 1. Calculate w(u).
17
Suppose 3*h - 28*c = -23*c + 7, 5 = -c. Let p(g) = -g**3 - 7*g**2 - 4*g - 5. What is p(h)?
-17
Let u be (-4)/14 + 89/(-7). Let x(d) = -d**2 - 12*d + 16. What is x(u)?
3
Let w(i) = -i**3 + 2*i**2 + 2. Suppose -3*z + 50 = -5*m, -3*z - m + 29 = -z. Suppose 5 - z = -5*g. Calculate w(g).
2
Let j(t) = t**2 + 4*t + 2. Let f(r) = 20*r + 25. Let n be f(-1). Give j(n).
47
Let o = -120 + 133. Let f(x) = x - 20. Calculate f(o).
-7
Let d(z) = -z**3 - 12*z**2 + 12*z + 5. Let b(o) = o**3 - o**2 - 23*o + 2. Let g be b(5). Give d(g).
18
Let d = 277 + -274. Let p(l) = 5*l + 3. What is p(d)?
18
Let j(p) = p + 1. Let w = 6 + -7. Let k be j(w). Suppose -5*h + 14 + 1 = k. Let z(x) = x + 3. Give z(h).
6
Let d(q) be the third derivative of 0*q + 1/60*q**5 + 2*q**2 - 1/12*q**4 - 1/60*q**6 + 1/2*q**3 + 0. What is d(2)?
-13
Let p(r) = r + 14. Let u be p(-8). Suppose u + 2 = -w. Let n(o) = -o + 1. Determine n(w).
9
Let b(w) be the first derivative of 7*w**5/120 - w**4/12 + 5*w**3 - 5. Let k(z) be the third derivative of b(z). Calculate k(-2).
-16
Let h(b) = b**3 + 7*b**2 + 6*b - 4. Let m(z) = -z**3 - 4*z**2 + 5*z + 4. Let f = 2 - 7. Let a be m(f). Suppose -5 = -a*r - 29. What is h(r)?
-4
Let c = -9 - -5. Let h be (-5 - -1)/(c - -2). Let v(n) = 2*n**2 - 4*n + 8. Let m(x) = 5*x**2 - 11*x + 23. Let k(f) = 6*m(f) - 17*v(f). Determine k(h).
-10
Let c(o) = 2*o - 15. Let k(b) be the second derivative of -b**3/6 + 7*b**2/2 + 3*b. Let p(s) = 6*c(s) + 13*k(s). Let a be (-3)/2*((-64)/(-12) - 2). Give p(a).
6
Let h(b) = b**2 + 8*b + 10. Let o be h(-7). Let u(k) = -6*k**2 - 12*k + 5*k - 231 + k**o + 223. Calculate u(7).
-8
Let u(o) be the third derivative of o**7/840 + o**6/720 + o**5/60 + o**4/12 + 22*o**2. Let f(g) be the second derivative of u(g). Calculate f(-2).
12
Let h(b) = 1 + 17 + 1 + 13*b + 19*b**2 - 18*b**2. Determine h(-11).
-3
Let s(q) = -3*q - 27. Suppose -157*i + 168*i + 77 = 0. Calculate s(i).
-6
Let n be (4 + 115)/(-7)*(1 + -3). Suppose -4*h + 32 = -2*r - 0*h, 2*h - n = 4*r. Let a(p) = -p**2 - 6*p + 3. Calculate a(r).
3
Let z(i) = 2*i - 9. Let c(o) = o. Let q(y) = -2*y - 14. Let j(h) = -5*c(h) - q(h). Let l(w) = 5*j(w) + 8*z(w). Give l(4).
2
Suppose p - 15 = -4*q, 0*q = -3*p - 5*q + 24. Let x(n) = -16 - 11 + 20 - 6*n**2 + n + n**p. Calculate x(6).
-1
Suppose 4*q + 10 = 2*q. Let i(t) = 3 - 58*t - 2 + 57*t - 6. Give i(q).
0
Let g(v) be the second derivative of -11*v**4/12 - v**3/6 - v**2/2 + 14*v. Let l = 9 - 9. Suppose -4 = n - 4*k + 1, 2*n + 2*k = l. Determine g(n).
-11
Let y(p) be the first derivative of -p**3/3 + p**2/2 + 4*p + 21. Let v(s) be the first derivative of y(s). Give v(5).
-9
Let j(s) = s - 2. Let l(o) = -2*o**2 + 7*o - 11. Let m be l(5). Let x = m + 19. Calculate j(x).
-9
Let a(q) = -q + 6. Let h(r) = r**2 - 8*r + 14. Let x be h(6). Let z(d) = -d**3 + 4*d**2 + 4*d + 5. Let o be z(5). Suppose o*c - x*c = 0. What is a(c)?
6
Let t(w) = 3*w - 1. Let i = 60 + -57. Suppose 1 = 5*l - u, -5*l - i*u - 2*u = -25. Give t(l).
2
Let z(x) = 13*x**3 - 18*x**2 - 19*x - 5. Let t(w) = 7*w**3 - 10*w**2 - 10*w - 3. Let r(n) = 11*t(n) - 6*z(n). Let m = -20 + 22. Give r(m).
-11
Let p(a) = 2*a**3 + 14*a**2 - 6*a - 8. Let h(v) = 3*v**3 + 21*v**2 - 7*v - 11. Let q(j) = 5*h(j) - 7*p(j). Give q(-6).
-5
Let k(n) be the first derivative of n**5/60 - n**4/3 + 4*n**3/3 - 16*n**2 + 9. Let r(m) be the second derivative of k(m). Calculate r(6).
-4
Let w(s) = -s**3 - 8*s**2 - 7*s - 9. Let f(q) = -q**3 - 2*q**2 + 6*q + 2. Let z be f(-3). Determine w(z).
-9
Let d be 0 + 5 + 0/3. Let l(c) = 1 - 3*c - 1 - c**3 - d*c**2 + 5. Let b be (1 + 3 + 0)/(-1). Determine l(b).
1
Let x(b) = -b**3 + 4*b**2 + 6*b + 2. Let w = -403 + 408. Give x(w).
7
Let n(w) = -w**2 - 8*w - 9. Let y(u) = -u + 2. Suppose -2*m = -3*s + 12, 4*s - s + 3*m - 12 = 0. Let t be y(s). Le
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 49 = 33. Sort -5, g, 18 in increasing order.
-5, g, 18
Let k = 65 - 593/9. Put k, 0.2, 4 in descending order.
4, 0.2, k
Suppose -10 = -11*t + 23. Sort 0.3, -3, t, 1/10 in decreasing order.
t, 0.3, 1/10, -3
Let a = -15 - -14.04. Let h = -4.04 + a. Sort 2/11, 5, 4, h.
h, 2/11, 4, 5
Let t = -5.7 + 3. Let g = 0.06 - 3.06. Let q = t - g. Put 5, 0, q in decreasing order.
5, q, 0
Let q = 1170 - 1177. Let s be -3*(22/6 + -2). Sort 0, q, 3, s.
q, s, 0, 3
Let v be ((-15)/20)/(1/(-4)). Let p = 34 + -14. Let s = -16 + p. Sort -2, s, v.
-2, v, s
Let j = 930 + -933. Put -51, -4, j in descending order.
j, -4, -51
Suppose 4*h + 3*l = -4, 0 = -h + l + 2*l + 14. Sort -44, 3, h, 0 in decreasing order.
3, h, 0, -44
Let o = -15/11 - -83/77. Suppose -3*g + 5*u = -0*u - 1123, -5*g + 1877 = -3*u. Let d = -6390/17 + g. Sort 5, o, d in increasing order.
o, d, 5
Suppose -2*n - 20 = -7*n. Suppose -4*i + 2*d + 90 = 0, -22 = -n*i + 3*d + 73. Suppose -l - 14 = -5*f + 10, 5*l = -i. Sort -4, f, -3.
-4, -3, f
Suppose -9*f + 5 = 23. Let d be 14/4 - (f + 6). Sort d, 0.5, 0.01.
d, 0.01, 0.5
Let p(v) = -v**2 + 7*v - 3. Let l be p(7). Let b(a) = a**3 - 6*a**2 + 4*a + 7. Let n be b(5). Suppose -n*q - 7 = -3. Put q, l, 4 in ascending order.
l, q, 4
Suppose 0 = 5*j - 4*u + 22, -6*j + 2*u = -9*j. Sort 65, j, 3 in descending order.
65, 3, j
Let p(b) = -b**3 - 11*b**2 - 14*b + 2. Let f be p(-10). Let v = f - 50. Sort -3, -5, 2, v in descending order.
2, -3, -5, v
Let s(y) = y**3 - 9*y**2 - y + 11. Let u be s(9). Suppose 5*d + 15 = -5*a, 4*d + 1 = -2*a - 5. Suppose d*h + 35 = 3*h + 4*b, 5*b - 20 = h. Sort u, -5, h.
-5, u, h
Let t = -13 - -9. Suppose 8 = -b + 5*g + 27, -2*g = b + 2. Sort b, t, 2/11 in increasing order.
t, 2/11, b
Let k be ((-18)/(-45) - 1)/(6/(-20)). Let t be (-30)/1*4/(-6). Suppose a = -4*w + t, -k*a = -w - w. Sort 1, -2, a in ascending order.
-2, 1, a
Let g be ((-121)/6)/(-11) + (-2)/(-12). Let f be ((-2)/(-4))/(2/(-4)). Sort f, -4, g in increasing order.
-4, f, g
Let l = 1.7 - 2.2. Suppose 4*d = 3*d + 2. Suppose -d*c + 10 - 4 = 0. Put l, c, -5 in increasing order.
-5, l, c
Let k be (-104)/(-36) + (-2)/(-18). Let h = 18 - 9. Sort h, k, 5 in descending order.
h, 5, k
Let w = -0.2 - -0.6. Let p = -0.8 + w. Sort p, -1/4, 0.15.
p, -1/4, 0.15
Let y(l) = -l - 10. Let z be y(11). Let r be (-48)/z - (-4)/(-14). Suppose -7*c + r*c = 0. Sort c, 2, -5 in increasing order.
-5, c, 2
Let z(l) = l**3 - 12*l**2 + 9*l - 6. Let t be z(11). Let v = t - -25. Sort 4, 2, v in increasing order.
v, 2, 4
Let f(c) = -c**3 + 4*c**2 - 3*c + 6. Let t be f(4). Let w be 56/(-7) - (0 + 3)/3. Let y be ((-4)/8)/(t/w). Put -1, 3/7, y in decreasing order.
3/7, y, -1
Let k = 5.5 - 5. Let a = 2/405 - -32/81. Put k, 2, a in decreasing order.
2, k, a
Suppose -3*g + 8*g = -10. Let b(u) = -26*u - 189. Let a be b(-7). Put g, -1, a in descending order.
-1, g, a
Let c(r) = 17*r**3 - 35*r**2 + 12*r + 23. Let k(z) = 4*z**3 - 9*z**2 + 3*z + 6. Let s(i) = -2*c(i) + 9*k(i). Let v be s(5). Sort -1, v, 0.
v, -1, 0
Let q = 13.08 - 0.08. Let j = -1 - q. Let t = j - -14.2. Put t, 2, 1 in descending order.
2, 1, t
Let l be 0/1 - (-2)/17. Let i = -0.008 - 0.012. Let b = i + -0.98. Sort b, l, -0.2.
b, -0.2, l
Let r = 5868/11 + -533. Let z = 15/88 + r. Let u = -7/8 - z. Sort 1/3, u, -0.3 in increasing order.
u, -0.3, 1/3
Suppose 6*b - 374 - 286 = 0. Put b, 4, -3 in ascending order.
-3, 4, b
Let y = -1311 + 1310. Sort -2, y, -5, -138 in decreasing order.
y, -2, -5, -138
Let u(t) = -t**3 - 21*t**2 - 19*t + 26. Let k be u(-20). Let j be (10/(-6))/(k/(-18)). Let z = -4 + 2. Sort j, 1, z.
z, 1, j
Let w = 2960 - 2961. Let c(j) = j. Let m be c(-5). Sort 6, w, m.
m, w, 6
Let r = -37.4 + 19.8. Let j = r - -16. Let g = j + 1.7. Sort -2, 1/6, g in increasing order.
-2, g, 1/6
Let w = 17 - 12.8. Let f = w + -3.9. Put 2/15, f, 4, -1 in descending order.
4, f, 2/15, -1
Let h = 107 + -105. Suppose 4*y + 4 = -0*y. Let r = 0 - -1. Put h, y, r in ascending order.
y, r, h
Let u(s) = 48*s + 93. Let v be u(-2). Sort 2, 0, -22, v in increasing order.
-22, v, 0, 2
Let a(f) = 3*f**2 + 40*f - 24. Let k be a(-14). Put 0, -7, k in descending order.
k, 0, -7
Suppose -z = 2*c - 6*c + 10, 0 = 3*c + 2*z - 13. Sort -10, c, -6, 4.
-10, -6, c, 4
Suppose 23 = 24*d - 25*d - 5*s, 4*s = -5*d - 31. Sort d, 0.3, -45 in decreasing order.
0.3, d, -45
Let m be (-3 - -3)/(3/1). Let p(h) = -h**2 - h + 8. Let w be p(-4). Sort m, w, 4/5 in increasing order.
w, m, 4/5
Let j(t) = t**3 - 10*t**2 + 8*t + 6. Let o be j(9). Let s be ((-6)/(-4))/((-7)/(-14)). Suppose -s*b = 0, -x = 2*x - 5*b - 15. Put o, -4, x in descending order.
x, o, -4
Let h = 348 - 347. Sort h, 3, -4, -2 in decreasing order.
3, h, -2, -4
Suppose -l = 4*l - 50. Let o = 9 - l. Let a(c) = c**3 - 4*c**2 - 5*c + 3. Let i be a(5). Put o, -5, i in decreasing order.
i, o, -5
Suppose x = 5*x. Let r be (-2)/2*(x + 0). Suppose r = -3*q - 14 + 2. Put 1, 2, q in increasing order.
q, 1, 2
Let n = 123/455 - -1/65. Let v = 4.7 - -0.3. Sort n, -0.5, v in increasing order.
-0.5, n, v
Suppose d + 11*d + 36 = 0. Sort -5, 0, d, -2 in increasing order.
-5, d, -2, 0
Let a = -38.942 + 39. Let f = 4.058 - a. Put 5, 30, f in descending order.
30, 5, f
Let r be (-1)/(((-70)/4)/(-5)). Suppose 3*i + 4*h = 4, 2*h - 5 = -2*i - 1. Sort -5, r, i in decreasing order.
i, r, -5
Suppose 0*a - a + 3 = w, -4*w + 14 = 2*a. Let c be a + ((-7)/(-14))/((-2)/4). Sort 5, c, 1 in descending order.
5, 1, c
Let n = 41 + -45. Let w(v) = v + 11. Let i be w(n). Put -4, i, 0 in ascending order.
-4, 0, i
Let i = 415 - 833/2. Let a(p) = 6*p**2 + 3*p - 4. Let l be a(-4). Let f = -238/3 + l. Sort i, f, -8 in increasing order.
-8, i, f
Let o = -236.5 + 236. Let t = 1.1 - 1. Put t, -2, o in decreasing order.
t, o, -2
Suppose 3*k + 4*k - 42 = 0. Sort -2/11, k, -5 in increasing order.
-5, -2/11, k
Let z = 4.6 - 5. Let r(n) = -8*n**2 + 9*n**2 + 12 + n**2 - 18*n. Let b be r(8). Sort b, 0.3, z in increasing order.
b, z, 0.3
Let w be -4*7/(-56)*4/(-6). Sort w, 2, 11 in decreasing order.
11, 2, w
Let b be -5*(0 - (-3)/6*2). Let s(o) = o**2 - 5*o + 3. Let d be s(5). Suppose -d*g + 2 = -10. Put b, g, -6 in increasing order.
-6, b, g
Let h = 19 - 19. Suppose -4*c + 16 + 16 = 0. Let x = c - 4. Sort 3, h, x in increasing order.
h, 3, x
Let n(c) = 5*c**2 + 2*c + 4. Let j be n(3). Let p = 50 - j. Sort p, -2, -1 in decreasing order.
-1, -2, p
Let s be (6/8)/(3/24). Suppose 2*m = 102 - 92. Put -1, m, s in increasing order.
-1, m, s
Let k(m) = 81*m + 968. Let i be k(-12). Put 3, i, -44 in increasing order.
-44, i, 3
Let i(c) = -c**2 - 35*c - 178. Let f be i(-6). Suppose -8*b - 12 = -5*b + 2*h, -2*b - 2*h = 10. Put b, f, 3 in decreasing order.
3, b, f
Let w = -527 - -524. Put -1, 2/3, w, 5 in increasing order.
w, -1, 2/3, 5
Suppose -11*t - 24 - 20 = 0. Sort t, -2, -0.2, 2/11.
t, -2, -0.2, 2/11
Let o(x) = x**2 - x + 2. Let a be o(0). Let z = -4 - -8. Suppose -20 = z*p, -3*m = -0*p + p - 7. Sort 1, a, m.
1, a, m
Let u = 237 + -141. Let t = u + -286/3. Let v = -0.6 - -0.3. Sort 5, t, v in ascending order.
v, t, 5
Let l = 22 + -20. Let p = 30 - 30.5. Sort p, l, 3 in increasing order.
p, l, 3
Let g(b) = b**2 - b + b**2 + 2*b**2. Let r be g(-1). Suppose o + 3*h = -11 + 20, -4*o - 3*h = -18. Put r, -4, o in increasing order.
-4, o, r
Let y = 2102 + -2115. Put y, 12/13, 0 in ascending order.
y, 0, 12/13
Suppose 0 = 3*m + m + 4. Let t = m + 6. Suppose 4*b - 26 = -2*a, a + 3*b - 14 = -0*a. Sort 0, a, t in increasing order.
0, t, a
Let z be (28/35)/(-3 + (-34)/(-10)). Let q(v) = -v**2 - 4*v - 1. Let y be q(-4). Sort z, 6, y.
y, z, 6
Let o(s) = s**3 - 5*s**2 + 4*s - 1. Let m be o(4). Suppose -5 = -3*b + 7. Let h be 4*(4/6 + (-20)/(-240)). Put m, h, b in increasing order.
m, h, b
Let t = -2.1 - -2. Suppose -40 = -8*s - 2*s. Let a be s/(-3)*1/2. Put t, a, -3/7 in increasing order.
a, -3/7, t
Let a = 5/63 + 1/7. Let k = 10 + -10.08. Let s = k - -0.28. Sort -4, a, s in ascending order.
-4, s, a
Let c = -0.13 + -4.87. Let d = 0.037 - 0.237. Sort 0.3, c, d.
c, d, 0.3
Let a = 94 - 91. Let k = -6 + 4. Let l = 1 + k. Put a, l, 2 in decreasing order.
a, 2, l
Let o = 73.5 - 73.7. Suppose -5*c - 1 + 21 = 0. Let v be 2 + -2 + 0 + c. Sort o, v, 0.
o, 0, v
Suppose 23 = j - 5*t, 0 = -4*j + 4*t - t + 24.
|
{
"pile_set_name": "DM Mathematics"
}
|
8). What is the greatest common factor of 424 and w?
8
Let u be (6/7)/(-1 + 60/56). Let x(w) = w**2 - 6*w + 2. Let b be x(5). Let h be (2 + -1)/(b/(-252)). What is the greatest common divisor of u and h?
12
Suppose 3*t - 120 = -b, 6*t - 5*t + 212 = 2*b. Calculate the highest common divisor of 189 and b.
27
Suppose -30*l = -71*l + 1312. What is the highest common divisor of 408 and l?
8
Suppose 45*t = -30*t + 3*t + 144. Let d be -1*(-1)/2*44. Calculate the highest common factor of d and t.
2
Suppose z + 2*y - 1 = -3*y, 0 = 5*z + 2*y - 74. Suppose 5 = -g, -i + 3*i - 2*g - 26 = 0. What is the greatest common divisor of z and i?
8
Let j(x) = -x**2 - 3*x + 3. Let l = -22 - -16. Let g be (9/(-6))/(l/(-12)). Let u be j(g). Calculate the highest common factor of 21 and u.
3
Let z(h) = 4*h**2. Let a be z(3). Suppose -17 = -r + 9*m - 10*m, -4*r = m - 71. Calculate the highest common factor of a and r.
18
Let s = 77 + -69. Suppose s*l = -5*l + 286. What is the greatest common factor of 11 and l?
11
Let l(s) = 390*s**2 - 11*s + 8. Let v be l(1). Calculate the highest common factor of v and 18.
9
Let j = 1642 - 1622. Suppose 32 - 2 = 3*c + 3*t, 2*c = 3*t + 20. Calculate the greatest common divisor of j and c.
10
Let t be (-4)/10 - 4/(-10). Suppose -3*v - v + 272 = t. Suppose 59*u - 56*u = 51. What is the highest common divisor of v and u?
17
Let c(l) = -2*l - 16. Let p be c(-12). What is the greatest common divisor of 632 and p?
8
Suppose 0 = 42*m - 1510 - 2858. What is the highest common divisor of 24 and m?
8
Suppose 2*j + 2*j - 124 = 0. Suppose f - 38 = -f - 2*n, j = f - 3*n. What is the highest common factor of f and 242?
22
Suppose -39*p + 38*p + 97 = 0. Suppose -f = 4*x - 268, 3*f + 187 = 4*x - p. Calculate the highest common factor of x and 51.
17
Let f = -51 - -246. Suppose -x = 3*x + 3*o - f, 246 = 5*x + 3*o. Suppose 201 = 3*l + 150. What is the highest common factor of x and l?
17
Suppose j - 6*j - 150 = 0. Let o be (-416)/(-11) + j/(-165). Calculate the highest common factor of o and 19.
19
Suppose 0*r - r = -5*r. Suppose r = -5*a - 19 + 64. Calculate the highest common divisor of a and 9.
9
Let i = -14 + 17. Suppose -n + 5*a = -32, 8*n + 5*a = 4*n + i. What is the greatest common factor of n and 1?
1
Suppose -2*j - 3*u + 5 = -0*u, -3*j + 2*u = -27. Let c(b) = -j*b + 10*b + 13*b + 6*b. Let y be c(3). What is the highest common divisor of 6 and y?
6
Let z = 90 - -30. Calculate the highest common factor of 40 and z.
40
Suppose -d + 4*z = -9, -3*d - 2*z = -10 - 17. Calculate the highest common factor of d and 261.
9
Suppose 0 = -4*f + 12787 + 10193. Calculate the highest common divisor of 15 and f.
15
Let r(n) = 4*n**2 - 27*n - 246. Let l be r(-11). Calculate the greatest common divisor of 10 and l.
5
Let h be 0/(2 + -1 + -5). Suppose 8*p - 2 - 22 = h. What is the highest common divisor of 3 and p?
3
Let x = 1 - -13. Suppose -16 = -5*y - h, -3*h = y - 0*y - 6. Suppose -30 = -b - y*f, f + 130 = 3*b - 0*f. Calculate the highest common factor of b and x.
14
Suppose 2102*f + 896 = 2103*f. What is the highest common factor of 16 and f?
16
Suppose 0 = -5*q + 3*r - 49, 0 = 2*q - 6*q + 4*r - 44. Let y be q/(-3)*(-504)/(-96). Calculate the greatest common divisor of y and 224.
14
Suppose -5*o - 12 = -52. Let k = 13 - o. Suppose -2*r - 1 = g - 4, -k*g - 3 = 4*r. What is the highest common factor of 6 and r?
3
Suppose -4*j + 4*o = -1438 - 3082, -5*j = -4*o - 5645. What is the highest common factor of j and 9?
9
Suppose -6*k = -2*k - 540. Let w = -1285 + 1312. Calculate the greatest common divisor of k and w.
27
Suppose 3*s - 1 = -4. Let b be (s/2)/((-3)/234). Let f be (-2)/(-8) - 1224/(-96). What is the greatest common divisor of b and f?
13
Suppose -20*q = -233 - 3967. What is the highest common factor of q and 30?
30
Let b be -1*(1 + 0) - -3. Suppose 2*t = -t + 18. Suppose 0 = 5*i - j - 180, -b*i - 2*j - 144 = -t*i. What is the greatest common divisor of i and 36?
36
Suppose -5*f + 49 = -11. Suppose -78 = -f*q - q. What is the highest common divisor of 3 and q?
3
Suppose 2*j + 5*h - 1127 = 0, -1087 = -4*j + 2*j + 3*h. What is the highest common divisor of j and 29?
29
Suppose -5*p + 16 = -4. Suppose -r = p*r - 25. Suppose -2*h + 17 + 42 = -3*a, -h - r*a + 10 = 0. Calculate the greatest common factor of h and 5.
5
Let u(n) be the first derivative of n**3/3 - 4*n - 9. Let p be u(3). Suppose 4*k = 12, -k - 17 + p = -z. Calculate the highest common factor of z and 135.
15
Let l(b) be the first derivative of -b**3/3 + 3*b**2 - 5*b - 6. Let p be l(3). Suppose -p*q + 568 + 356 = 0. Calculate the greatest common divisor of 33 and q.
33
Let j(k) = 2*k**2 + 5*k - 6. Let g be j(2). Calculate the greatest common divisor of 8 and g.
4
Suppose -i - 36 = -7*i. What is the highest common divisor of i and 66?
6
Let u be 449/14 + 74/(-1036). Calculate the greatest common divisor of 124 and u.
4
Let t = 620 + -509. Calculate the greatest common factor of t and 111.
111
Suppose 63 - 225 = -9*z. What is the greatest common factor of 3150 and z?
18
Let o be 36/10 - ((-48)/20 + 3). Calculate the highest common factor of o and 4.
1
Let g(v) = -2*v + 91. Let b be g(-12). Calculate the greatest common factor of b and 92.
23
Let o = -382 - -529. Calculate the highest common factor of o and 196.
49
Let u(o) = -21*o + 35. Let x(s) = 7*s - 12. Let m(d) = -5*u(d) - 14*x(d). Let i be m(7). Calculate the greatest common divisor of 21 and i.
21
Let b(p) = -4*p + 1. Let j = -1 + -28. Let f = 18 + j. Let k be b(f). Calculate the greatest common factor of 15 and k.
15
Let m = -851 - -881. Calculate the highest common divisor of 282 and m.
6
Let x = 191 - 183. Calculate the highest common divisor of x and 328.
8
Let d be (16/(-5) + 4)/(6/45). What is the highest common factor of d and 66?
6
Let m be (1 - 0)*6*2. Let u be 27/(-6)*2/(-3). Suppose -5*t - u*d + 126 = 0, -21 = -3*t + 5*d + 41. What is the highest common divisor of m and t?
12
Suppose 0 = -4*i - 4*i + 48. Suppose -2*n - i + 10 = u, -5*n - 42 = -4*u. Calculate the highest common factor of u and 1.
1
Suppose 53*v - 44*v - 432 = 0. What is the greatest common factor of v and 1152?
48
Suppose -43 = -3*k + 5*x, -x = 4*k - 20 + 1. Let p be -4 - k/(-2) - -11. Calculate the highest common divisor of p and 20.
10
Let t be -60*4/12*(-54)/30. Calculate the greatest common divisor of t and 684.
36
Let m(q) be the first derivative of -3*q**4/4 + 2*q**3/3 + 3*q - 2. Let v be m(-2). Suppose 3*x = -4*x + v. Calculate the greatest common divisor of 45 and x.
5
Let a be 2/(6/(-26)*34/(-51)). Calculate the greatest common divisor of a and 130.
13
Let b = -2439 + 2479. Calculate the greatest common factor of 1860 and b.
20
Let y be (3 - 0)*3/9. Let p(w) = w**3 + 5*w**2 + 6*w + 9. Let o be p(-4). What is the greatest common divisor of y and o?
1
Suppose 0 = -19*b + 23*b + 16. Let s be b/3*-3 + -2. Calculate the highest common divisor of 14 and s.
2
Suppose 2*x + 3*i = 15, -4*x + i - 5*i + 24 = 0. Suppose 0 - 15 = -x*t. Let z be 5/(10/8) - -1. Calculate the greatest common divisor of z and t.
5
Let r be ((-4)/5 - (-2)/(-10))*-348. Suppose 5*k = r + 177. Calculate the highest common divisor of 15 and k.
15
Suppose -4*l = -w - 4, 32 + 8 = 4*w - 2*l. Let n(c) = 2*c**2 - 7*c - 4. Let z be n(4). Suppose k - 3 = -z*k. Calculate the greatest common factor of k and w.
3
Let v be 15/(((-2)/15)/((-42)/27)). Suppose -a = -2 - 23. Calculate the greatest common divisor of a and v.
25
Let z(t) = -t + 13. Let l be z(5). Let i(d) = -d**3 + 9*d**2 + 2*d - 11. Let b be i(l). Calculate the highest common divisor of 23 and b.
23
Let z(p) = -33*p**2 + 1. Let s be z(1). Let m = s - -104. What is the greatest common factor of 24 and m?
24
Let x be (3/2)/(18/84). Let h = 31 - x. Calculate the greatest common divisor of h and 3.
3
Let d(b) = -3*b**3 - 87*b**2 - 97*b - 58. Let l be d(-28). Let g = 85 + -51. Calculate the greatest common factor of l and g.
34
Let k be 15 - 5 - (0/2)/3. Suppose 0*c + k = c. Let g be 3*(-3)/(9/(-2)). What is the highest common divisor of g and c?
2
Suppose b + 5 - 28 = 0. Let y = -651 - -673. Suppose 22*n = b*n - y. Calculate the greatest common factor of n and 11.
11
Let r = -258 + 349. What is the highest common divisor of r and 1001?
91
Let o
|
{
"pile_set_name": "DM Mathematics"
}
|
r?
True
Suppose j = -29*n + 25*n + 2082943, 4*j - 1562217 = -3*n. Is n a composite number?
True
Suppose 12*f - 23*f - 58*f + 24247911 = 0. Is f a prime number?
False
Let o(p) be the second derivative of p**5/20 - p**4/12 - p**3/6 + 753*p**2/2 - 2*p + 24. Let l = -14 + 14. Is o(l) a prime number?
False
Suppose r + 107540 + 38405 = 3*z, 2*r + 8 = 0. Is z composite?
False
Let x(h) = -2*h**2 + 24*h + 56. Let k be x(14). Suppose 2*w = -t - k*w + 27425, -137140 = -5*t + 5*w. Is t composite?
False
Suppose 1005*h - 1038*h + 25172697 = 0. Is h a prime number?
True
Let f be (1 + (-8)/(-2))*11706/(-5). Let c = -6297 - f. Suppose 3*p - 1 = -7, 0 = -3*l + 3*p + c. Is l composite?
False
Let t = 419 - 420. Is (-34530)/6*t - 2 a prime number?
False
Let t(y) = -34*y + 62. Let g be t(35). Let l = 1607 + g. Is l a prime number?
True
Let v = -146408 + 468751. Is v composite?
True
Let d(c) = 29964*c**3 + 2*c**2 - 4*c + 3. Let q = 81 - 80. Let b be d(q). Is (-2)/7 - b/(-91) a composite number?
True
Let q be (16 - 13)*(-1)/(-1). Suppose 3*r = p - 2*r + 74, -174 = 3*p - q*r. Is (-3689)/(-4) - p/72 a prime number?
False
Suppose 0 = 2*a - 5*l - 1939, 5*a + l - 4790 = 2*l. Let y(u) = -43*u + 132. Let f be y(3). Suppose -5*g = -3*h + a, -f*g + 1276 = 4*h - 8*g. Is h composite?
True
Let y = -237 - -236. Is y/3*(-78 - 5883) a composite number?
False
Suppose -l = -12*r + 4481360, -746898 = -2*r - 9*l + 8*l. Is r a prime number?
True
Let j = -107 + 106. Let n be ((-4)/(-16) + j)/((-5)/20). Suppose 4*o - 9741 = -5*d, -3*o = n*d - 2*o - 5846. Is d a composite number?
False
Let v(h) = -h**3 + 35*h**2 - 66*h + 5. Let s be v(33). Is (-4 - -33698)/(-3 + s) prime?
False
Suppose 16*j = -5*j + 550053. Suppose -16*i = -118657 + j. Is i a composite number?
False
Is 2 + 5 + 1012733/5 + (-3)/5 a composite number?
True
Suppose 887091 = 15*r + 24456. Is r a prime number?
False
Let d(y) = 4*y**3 - 27*y**2 - 4*y - 12. Let n be d(7). Suppose 2*k + 2*k - 13973 = -3*v, -3*v + n = 0. Is k a prime number?
True
Suppose -4*q + 546 = 526. Suppose -2*z + 2399 = 2*w - q*z, 2*z = -w + 1203. Is w a prime number?
True
Let x be ((-3)/(-2))/((-2)/24*2). Is 3 + x - (-2419 + 2) a composite number?
False
Is 4/(-12)*(-4)/(20/30867735) composite?
False
Let q(j) = -11*j**3 + 62*j**2 + 37*j + 103. Is q(-34) a composite number?
False
Let w(a) = 401*a**2 + 80*a - 564. Is w(7) composite?
True
Is (-5082512)/(-56) - (-3)/(-21) a composite number?
True
Let f(j) = 3*j - 35. Let w be f(13). Let p(n) = -4*n**3 - n**2 - 5*n + 4. Let h be p(w). Let a = 845 + h. Is a composite?
False
Suppose -17*s + 228 = -13*s. Let f = s - 66. Is 6526/6 + -1 + (-3)/f a composite number?
False
Suppose -d + 193655 = -2*y, -5*d + 886*y - 887*y = -968242. Is d a prime number?
True
Let w = -92 - -92. Let f(a) = a**3 + 11*a**2 + a + 15. Let z be f(-11). Suppose w*l - 2*j = -3*l + 2025, -j + 2711 = z*l. Is l composite?
False
Suppose 10*k + 200200 = 36*k. Suppose -k = -5*y - 5*q, -2*y - q = -1501 - 1577. Is y a composite number?
True
Is 123741 + 1 + (24/(-3) - (-6 - 5)) prime?
False
Let r be 1/(3/12*-2). Let z = -10 - -13. Is 6965/10 + z/r a composite number?
True
Suppose -q + 110 = -2*v, -2*v - 3*q = q + 130. Let r be 3/12 + v/(-12). Suppose 0 = -9*t + r*t + 76. Is t composite?
False
Let p be 122/(-14) - (-4)/(-112)*8. Let y(x) = -x**3 - 8*x**2 - 11*x + 3. Is y(p) prime?
False
Suppose -3*n + 0*n + 438 = -3*f, 0 = -2*f - 6. Let u be 3/(-1)*(-112)/(-6). Let i = u + n. Is i a composite number?
True
Suppose -14*l + 482 = 132. Suppose -21*p - 8716 = -l*p. Is p composite?
False
Suppose 26*n + 2*n - 358260 = 0. Let x = n - 8060. Is x composite?
True
Let u be (7172 + 1)*(-46)/(-69). Suppose -2*n = -u - 662. Is n a composite number?
True
Suppose 4*v - 8 = 0, 2*r = -4*v + 282 + 1146. Suppose 2*o + 1764 = 5*m + o, 2*m + 4*o = r. Let f = m + -132. Is f a prime number?
False
Suppose 4*l = -b + 128505, 5*l - 16*b - 160641 = -14*b. Suppose -i = -5*u - 8028, 4*i - l = -0*i + 5*u. Is i a composite number?
True
Let r(n) = 2*n**3 + n**2 - n. Let f(p) = 13*p**3 - 10*p**2 - 38*p + 27. Let o(k) = -f(k) + 6*r(k). Is o(10) prime?
False
Let h(s) be the third derivative of 23*s**4/24 + 44*s**3/3 - 19*s**2. Is h(43) composite?
True
Let w(r) = -27*r - 31 + 2618*r**3 - 10*r**2 - 12*r**2 - 2620*r**3. Is w(-14) a composite number?
False
Let w(u) = -1966*u + 7. Let g be w(-5). Suppose 10*s + g = 13*s. Let z = s + -1772. Is z prime?
False
Suppose 3*t - 2*p - 123199 = 0, -17*p = -5*t - 19*p + 205305. Is t a prime number?
False
Let h(v) = 241*v**2 - 3*v + 26. Let m be h(-7). Suppose -u = -3*z - 2374, -5*u - z + m = -2*z. Is u prime?
True
Suppose -3*j = -3*o - 2174 - 982, j = 3*o + 1048. Suppose -10*c - j = -7514. Suppose i - c = -f, 2*f + 7*i = 2*i + 1307. Is f a composite number?
False
Suppose 3*g = 0, 4*n - g + 36 = 68032. Is n a composite number?
True
Suppose 13 = 3*v + 1. Let k(m) = -47*m - 3192. Let h be k(-68). Suppose v = h*n, t + t = 2*n + 7092. Is t composite?
False
Suppose -u + 6*f = 3*f + 8, 3*u + 3*f = -72. Let b be u*(33/12 + -3). Suppose z + b*z = 3306. Is z composite?
True
Suppose -298*p = -69536291 - 50608071. Is p prime?
False
Let y(a) = 2*a + 55. Let c be y(-26). Suppose 0 = -c*b + 1680 + 189. Is b a composite number?
True
Is 6659016/252*6/(-4)*-1 a prime number?
False
Suppose 0 = 2*d - 6 + 2. Suppose -4*z + 12 = -w, -5*w + 10 = 4*z - d. Is ((-28)/56)/(w + (-2)/344) composite?
True
Suppose 5*y = -5*q + 1489530, 5*q - 1217243 - 272294 = 2*y. Is q composite?
False
Suppose -37*k = -34*k - 4*y - 37443, k = 5*y + 12503. Is k a prime number?
True
Let q(w) = w**2 + 77*w + 2507. Is q(-80) composite?
True
Let p = -293 + 297. Let i be 6 + (-3)/(-1 - -4). Suppose p*d - 4*l = 904, 5*l - 877 = -i*d + d. Is d a composite number?
False
Let l(n) = -342*n**3 + 2*n**2 + 3*n + 3. Suppose 65 = 4*s - 3*p, 15 = s + 2*p - 3*p. Suppose 2*b = 6*b + 4*f + s, 4*b = f - 5. Is l(b) a prime number?
True
Let j(g) = 16907*g**2 - 108*g + 219. Is j(2) a prime number?
True
Let v(h) = 38024*h + 557. Is v(4) prime?
False
Let o be 15/(-5*(-2)/10). Suppose -2*d = -0*c + c - o, -d = 5*c - 30. Suppose 30 = -c*w + 425. Is w composite?
False
Suppose 59*q + p = 55*q + 108909, 0 = -3*q + p + 81673. Is q a prime number?
False
Let c(q) be the third derivative of q**5/30 + 13*q**4/24 - 41*q**3/6 - 37*q**2. Let k be c(-21). Is k/10*25/10 - 1 composite?
True
Suppose -18102 = -x - 4*s, 0 = 3*x - 2*s - s - 54246. Is x/3 + (-1)/(-3) composite?
False
Suppose 5*f = -86 + 131. Suppose f*b - 3430 = 19781. Is b a prime number?
True
Let k(g) = 3402*g**2 + 6*g - 7. Suppose 5*b = z + 1, -5*b - 4 + 1 = -2*z. Is k(b) prime?
False
Suppose 3*c + 9 = -3*s, 2*c - c - 4*s = -13. Let x(v) = 90*v**2 + 21*v + 106. Is x(c) a prime number?
True
Let t(k) = -7*k**3 - 10*k**2 + 5*k + 7. Let q(g) = g**3 - g**2 + g + 1. Let h(w) = q(w) + t(w). Suppose 30 = 5*f, 3*a + f = -18 - 3. Is h(a) composite?
True
Let h(p) = 2*p**3 - 10*p**2 + 30*p - 4. Let g be h(13). Suppose -g = 35*o - 45*o. Is o a composite number?
True
Let q be ((-198)/24)/11 - 126/(-8). Suppose q - 20 = -n. Is ((-218)/10)/(n/(-25)) a prime number?
True
Let m(w) = -3*w + 12. Let y(j) = -j. Let r(c) = -3*m(c) + 18*y(c). Let l be r(-8). Suppose l*z = 34*z + 2818. Is z prime?
True
Suppose 42 = 31*d - 35*d - 2*b, 0 = -5*b - 5. Is 12603*(2/d)/((-16)/80) a prime number?
False
Let g = 0 - -1. Is 20907/9*(2 - g) a prime number?
False
Suppose 2*k - 4*k - 11 = u, 5*k - u + 24 = 0. Let w(s) = 12*s - 23. Let d(q) = -7*q + 11. Let y(m) = -5*d(m) - 3*w(m). Is y(k) composite?
False
Suppose 0 = 5*y - 20, 6*x - x - 2*y + 4728 = 0. Let g = x - -1785. Suppose -g = -4*c - 197. Is c prime?
False
Suppose -4*i + 5*l = -36259, 0*l + 45329 = 5*i - l. Suppose 292 = 44*f - 12*f - 956. Suppose 0 = 45*a - f*a - i. Is a a composite number?
False
Let d(f) = f**3 + 5*f**2 + 3*f. Let g be d(-2). Let z be g/4 - 21/(-14). Suppose 2*h = -z*h - 4*j + 2915, -2*j + 2332 = 4*h. Is h a composite number?
True
Suppose 0 = 2*n - 30052 - 18422. Let a = -12780 + n. Suppose 1662 = -15*s + a. Is s a prime number?
True
Is -27 - -12 - -29 - -5133 a composite number?
False
Let a = -346 - 117. Suppose 2*z = 4*q + 1320, -2*z - q + 1265 + 40 = 0. Let v = a + z. Is v a composite number?
False
Suppose 3917 - 1969 = 2*n. Is n a pr
|
{
"pile_set_name": "DM Mathematics"
}
|
by 825.
783
What is the remainder when 1325 is divided by 29?
20
Calculate the remainder when 6400 is divided by 50.
0
Calculate the remainder when 3564 is divided by 323.
11
What is the remainder when 14564 is divided by 394?
380
Calculate the remainder when 58431 is divided by 824.
751
What is the remainder when 99543 is divided by 68?
59
What is the remainder when 84905 is divided by 1048?
17
Calculate the remainder when 22914 is divided by 559.
554
What is the remainder when 1598118 is divided by 8?
6
What is the remainder when 420438 is divided by 13?
5
What is the remainder when 2104507 is divided by 192?
187
What is the remainder when 327103 is divided by 3989?
5
What is the remainder when 279333 is divided by 551?
527
What is the remainder when 202741 is divided by 40545?
16
What is the remainder when 251248 is divided by 125619?
10
What is the remainder when 80797 is divided by 14?
3
Calculate the remainder when 59277 is divided by 2821.
36
Calculate the remainder when 1133 is divided by 456.
221
What is the remainder when 49739 is divided by 27?
5
What is the remainder when 330888 is divided by 59?
16
Calculate the remainder when 146336 is divided by 3403.
7
What is the remainder when 49685 is divided by 17?
11
What is the remainder when 6246971 is divided by 29?
23
What is the remainder when 79922 is divided by 340?
22
Calculate the remainder when 57679 is divided by 40.
39
Calculate the remainder when 34677 is divided by 408.
405
Calculate the remainder when 248640 is divided by 58.
52
What is the remainder when 28462 is divided by 5?
2
Calculate the remainder when 167829 is divided by 31.
26
Calculate the remainder when 1501 is divided by 372.
13
Calculate the remainder when 10070 is divided by 3046.
932
Calculate the remainder when 6129 is divided by 1757.
858
Calculate the remainder when 1930 is divided by 388.
378
What is the remainder when 6229 is divided by 7?
6
What is the remainder when 457 is divided by 30?
7
Calculate the remainder when 13175 is divided by 22.
19
Calculate the remainder when 10236 is divided by 54.
30
What is the remainder when 1713 is divided by 170?
13
What is the remainder when 1860 is divided by 228?
36
What is the remainder when 287569 is divided by 386?
385
What is the remainder when 4953 is divided by 558?
489
Calculate the remainder when 1261060 is divided by 14.
10
Calculate the remainder when 2792 is divided by 214.
10
What is the remainder when 2730 is divided by 4?
2
What is the remainder when 253238 is divided by 420?
398
Calculate the remainder when 37107 is divided by 1276.
103
Calculate the remainder when 30199 is divided by 64.
55
What is the remainder when 32343 is divided by 10778?
9
What is the remainder when 7118 is divided by 89?
87
What is the remainder when 65940 is divided by 767?
745
Calculate the remainder when 10866 is divided by 841.
774
What is the remainder when 15166 is divided by 165?
151
Calculate the remainder when 46473 is divided by 801.
15
Calculate the remainder when 2659 is divided by 885.
4
Calculate the remainder when 57739 is divided by 466.
421
What is the remainder when 5240958 is divided by 38?
36
What is the remainder when 5119 is divided by 212?
31
What is the remainder when 125923 is divided by 365?
363
What is the remainder when 119718 is divided by 2217?
0
What is the remainder when 1344 is divided by 27?
21
Calculate the remainder when 1583 is divided by 662.
259
Calculate the remainder when 16983 is divided by 95.
73
Calculate the remainder when 189142 is divided by 9456.
22
Calculate the remainder when 78969 is divided by 199.
165
Calculate the remainder when 82796 is divided by 82788.
8
What is the remainder when 90900 is divided by 88?
84
Calculate the remainder when 8210 is divided by 16.
2
What is the remainder when 42731 is divided by 10669?
55
Calculate the remainder when 5625 is divided by 931.
39
Calculate the remainder when 4356 is divided by 236.
108
What is the remainder when 4957 is divided by 4949?
8
What is the remainder when 1052503 is divided by 1039?
1035
What is the remainder when 843 is divided by 470?
373
What is the remainder when 6251 is divided by 447?
440
What is the remainder when 2131299 is divided by 25?
24
Calculate the remainder when 2956 is divided by 224.
44
What is the remainder when 3600 is divided by 278?
264
What is the remainder when 14690 is divided by 189?
137
What is the remainder when 820864 is divided by 18?
10
Calculate the remainder when 101813 is divided by 228.
125
Calculate the remainder when 3105 is divided by 317.
252
What is the remainder when 51385 is divided by 17?
11
What is the remainder when 81256 is divided by 105?
91
What is the remainder when 24442 is divided by 155?
107
Calculate the remainder when 22612 is divided by 7517.
61
Calculate the remainder when 1089 is divided by 286.
231
Calculate the remainder when 649113 is divided by 32.
25
Calculate the remainder when 131707 is divided by 76.
75
Calculate the remainder when 117540 is divided by 109.
38
Calculate the remainder when 6192 is divided by 770.
32
Calculate the remainder when 7046 is divided by 899.
753
Calculate the remainder when 915691 is divided by 86.
49
What is the remainder when 40019 is divided by 138?
137
What is the remainder when 13004 is divided by 12985?
19
What is the remainder when 11070 is divided by 258?
234
What is the remainder when 1586 is divided by 288?
146
What is the remainder when 3397 is divided by 63?
58
What is the remainder when 36696 is divided by 127?
120
What is the remainder when 2902462 is divided by 12?
10
Calculate the remainder when 1171 is divided by 13.
1
What is the remainder when 3389 is divided by 39?
35
What is the remainder when 13344 is divided by 534?
528
What is the remainder when 42189 is divided by 107?
31
What is the remainder when 272434 is divided by 438?
436
What is the remainder when 441970 is divided by 82?
72
Calculate the remainder when 23533 is divided by 21.
13
What is the remainder when 73315 is divided by 18324?
19
Calculate the remainder when 11890 is divided by 11881.
9
Calculate the remainder when 1178 is divided by 4.
2
What is the remainder when 207642 is divided by 10?
2
Calculate the remainder when 1320 is divided by 712.
608
What is the remainder when 36005 is divided by 611?
567
What is the remainder when 8824 is divided by 304?
8
What is the remainder when 39325 is divided by 111?
31
Calculate the remainder when 8636 is divided by 297.
23
Calculate the remainder when 25599 is divided by 1112.
23
What is the remainder when 18980 is divided by 979?
379
What is the remainder when 8914 is divided by 8643?
271
Calculate the remainder when 524 is divided by 48.
44
Calculate the remainder when 65797 is divided by 5980.
17
Calculate the remainder when 10825 is divided by 272.
217
What is the remainder when 736062 is divided by 28?
26
What is the remainder when 12172 is divided by 1108?
1092
Calculate the remainder when 20034 is divided by 40.
34
Calculate the remainder when 3186 is divided by 56.
50
Calculate the remainder when 35709 is divided by 17654.
401
Calculate the remainder when 1596578 is divided by 39.
35
Calculate the remainder when 126407 is divided by 11.
6
What is the remainder when 82024 is divided by 1114?
702
Calculate the remainder when 722290 is divided by 2112.
2098
What is the remainder when 207202 is divided by 51800?
2
What is the remainder when 124975 is divided by 20?
15
Calculate the remainder when 65999 is divided by 61.
58
Calculate the remainder when 1523878 is divided by 1080.
1078
Calculate the remainder when 16156 is divided by 11.
8
Calculate the remainder when 32180 is divided by 1038.
2
Calculate the remainder when 1042 is divided by 505.
32
What is the remainder when 2803 is divided by 158?
117
Calculate the remainder when 15525 is divided by 1545.
75
Calculate the remainder when 191013 is divided by 168.
165
Calculate the remainder when 87310 is divided by 704.
14
What is the remainder when 38460 is divided by 49?
44
Calculate the remainder when 292031 is divided by 151.
148
Calculate the remainder when 6998 is divided by 3497.
4
Calculate the remainder when 56403 is divided by 818.
779
What is the remainder when 4145 is divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
36/(-45). Let r be v(m). List the prime factors of (-4)/(-14) + (-54)/42 - r.
2, 3
Suppose 8*l - 1980 = 2*l. Let i = l - 221. List the prime factors of i.
109
Suppose 0 = -3*i + 5*i + w - 16, 0 = 5*i - 3*w - 51. Suppose i*n + 4*n - 1989 = 0. List the prime factors of n.
3, 17
What are the prime factors of (3 + (-72)/64*1*4)*-1472?
2, 3, 23
Let o be 45 + -52 + (-2914)/2. Let p = o + 2319. List the prime factors of p.
3, 5, 19
Let k(d) = -3 - 2*d + 13*d**2 - 5*d + 2*d + 2*d. Let a be k(-2). Suppose 5*m - 4*m - 5*v = a, 5*m - v = 371. List the prime factors of m.
3, 5
Suppose -h - 1049 = 3*h + u, 4*u = -2*h - 528. Let n = h + 688. List the prime factors of n.
2, 3, 71
List the prime factors of (56283/(-12) + 0/12)/((-15)/240).
2, 73, 257
Let a(d) = 52*d**2 - 6*d + 4. Let y(k) = -26*k**2 + 3*k - 2. Let w(j) = -6*a(j) - 13*y(j). Suppose -12*p = -8*p - 4. List the prime factors of w(p).
5
Suppose -8*x + 75 + 29 = 0. Let r(n) = 3*n + 3*n - 18 + 12 + x*n**2 + n**3. List the prime factors of r(-12).
2, 3, 11
Let x(i) = i**3 + 8*i**2 - 20*i + 19. Let c be x(-10). Let z = -15 + c. Suppose 0*s + 15 = 3*s, -5*m = -z*s - 345. List the prime factors of m.
73
Suppose -126*a - 785399 = -182*a + 361257. List the prime factors of a.
2, 5119
Let l(m) = 3*m**3 + 11*m**2 - m + 9. Let g be l(-4). Let r be g/4 - (-2430)/40. Suppose r - 2381 = -11*z. List the prime factors of z.
211
Suppose -5*v + 3*r - 221 + 10575 = 0, 2*v = 2*r + 4140. Suppose 0 = w + 6*w - v. Suppose 2*u + w = 4*u. List the prime factors of u.
2, 37
Suppose 31*o - 51724 - 131583 = -b, 0 = 5*o - 3*b - 29553. What are the prime factors of o?
3, 73
Suppose -7*s = -52577 - 18081. Suppose -42744 + s = -25*t. What are the prime factors of t?
2, 653
Suppose -4*n - 4*b = -232068, 49999 = 2*n + 8*b - 66047. What are the prime factors of n?
5, 41, 283
Suppose 0 = -4*h + 2*h + 2*x + 13896, -5*x = 4*h - 27828. What are the prime factors of 24/40 + (h/5 - -3)?
2, 17, 41
Let q = 8577 - 592. What are the prime factors of q?
5, 1597
Suppose 119*p - 5782728 = -887068. List the prime factors of p.
2, 5, 11, 17
Suppose n = -4*b + 48, -5*b + 2*n = 23 - 70. Let c = 31 + b. What are the prime factors of c?
2, 3, 7
Let a = 2269 + 4192. What are the prime factors of a?
7, 13, 71
Suppose -61*y = -55530 + 19601. List the prime factors of y.
19, 31
Suppose 0 = -5*q + 5*x + 8630, 5*x - 20 = -30. List the prime factors of q.
2, 431
Suppose -16*r + 28681 = 7*r. Suppose r = 6*q - 1147. List the prime factors of q.
3, 7, 19
Suppose -217 = -2*f + 23. Suppose -5*c - f = -q + 214, 4*c = q - 329. What are the prime factors of 1/(((-15)/q)/(-5))?
103
Suppose 15*h - 7*h - 7*h - 8153 = 0. What are the prime factors of h?
31, 263
Let o(w) = -w**3 + 4*w**2 - w + 4. Let s be o(4). Suppose s*b - 2*b = -4*m - 2, 2*b + 2 = 0. List the prime factors of (1*-84 - 3)*m.
3, 29
Suppose -8*c + 2316 = 4*c. What are the prime factors of (-3 - c/(-1))*(-48)/(-10)?
2, 3, 19
Suppose -6*m + 4*t = -m - 1112, -4*t = -8. Let v = 423 - m. Let w = -132 + v. What are the prime factors of w?
67
Let z = -255 + 245. Let v(o) = -192*o + 66. List the prime factors of v(z).
2, 3, 331
Let p = -570 + 384. Let z = p - -198. List the prime factors of z.
2, 3
Let s = -124 + 126. Suppose s*r + 9*r = 3047. List the prime factors of r.
277
Let d(l) = 87*l**2 - 342*l + 4. List the prime factors of d(-5).
3889
Suppose -3*i + 2*o = -3569, -2*o - 612 - 575 = -i. Let f = 2661 - i. List the prime factors of f.
2, 3, 5, 7
What are the prime factors of (-558974)/(-39) + -1 - (-2)/6?
2, 3583
Let j = -85 + 106. Let l be (-307)/(-5) - 6/15. Let f = l - j. What are the prime factors of f?
2, 5
Suppose 3*x = -5*v + 2, -4*x + 5*v - 20 - 24 = 0. List the prime factors of 123800/168 + x/(-63).
11, 67
Let a = -3459 + 8222. What are the prime factors of a?
11, 433
Suppose -24*n + 11*n = -1144. Suppose 81*y = n*y - 9464. What are the prime factors of y?
2, 13
Let y(j) = -194*j - 5216. List the prime factors of y(-58).
2, 3, 503
Let r(u) = -12*u + 20. Let z = -49 + 49. Let l(j) = -2*j**2 + j - 6. Let k be l(z). List the prime factors of r(k).
2, 23
Suppose 34*n - 9 = 31*n. Let k(j) = 4*j + n*j**2 - 8 + 2 + 7 - 14*j**3. List the prime factors of k(-2).
3, 13
Suppose -45 = 5*v - 60, -5*v - 819 = -2*w. What are the prime factors of w?
3, 139
Let h(g) = 74*g**3 + g**2 - 6. Let p be h(4). Suppose -p = 10*v - 24*v. What are the prime factors of v?
3, 113
Let g be 12/(-15)*-1*30/12. Suppose -80 - 204 = 3*v + 4*y, -g*y = 4. Let o = 130 + v. List the prime factors of o.
2, 19
Let s(l) = 1 + 9*l**3 - 10*l**3 + 19*l**2 - 18*l**2 - 10*l. List the prime factors of s(-7).
463
Let z(n) = 2*n. Let w be z(1). Suppose 1 = w*y - 2*f + f, 0 = -4*f + 12. List the prime factors of (2/5)/y + 184/5.
37
Let g be (-30)/(-21)*(-8 + -6). List the prime factors of 3898/6 - g/15.
3, 7, 31
Let a(i) = -i + 9. Let v be a(9). Suppose v = -2*p + 419 - 11. Suppose -5*y + 475 = -2*r, -271 = -5*y - 3*r + p. List the prime factors of y.
5, 19
Suppose 4*s = -3*f - 2311, -f - 3*s + 4*s - 761 = 0. Let r = -428 - f. What are the prime factors of r?
337
Suppose 7*v + 25*v = -832. What are the prime factors of (v + 5 - 8)*-15?
3, 5, 29
Let p be -3*1/12*-100. Let k = p - 26. List the prime factors of (-1 + 0 - 12)/k.
13
Suppose 11*s + 17 = 14*s + g, -4*s - g + 22 = 0. Suppose 690 = l + s*z, -2*l - 48*z = -46*z - 1380. List the prime factors of l.
2, 3, 5, 23
Suppose p - 6*p - 45 = -i, 4*i = 4*p + 180. Suppose 0 = -11*t + 2*t + i. Suppose -4*b - t*u = -269 + 79, 5*b = -4*u + 233. List the prime factors of b.
3, 5
Suppose -11*h = -152323 + 8861. What are the prime factors of h?
2, 6521
Let s = 9991 + 3682. What are the prime factors of s?
11, 113
Let p(w) = 408*w**2 - 6. Let b be p(2). Suppose 1 - 5 = -2*v, 2*s - 4*v = b. What are the prime factors of s?
19, 43
Suppose -11*r - 142 = -10. List the prime factors of r + 6 + 515 - -4.
3, 19
Let n = 39 - 39. Suppose n = -d - 2*q - 16, 4*d + 0*d + 3*q + 89 = 0. Let m = d - -48. What are the prime factors of m?
2, 11
Let a(z) = z**3 - 8*z**2 + z - 1. Let g be a(8). Suppose -4*c + g*c + 843 = 0. List the prime factors of (-3)/2 - 5/10*c.
139
Let j(t) = -13*t**3 - 4*t**2 + 5*t. Let y be j(-5). Suppose -5*q - 3*u - 365 = -6*q, 2*u + y = 4*q. List the prime factors of q.
13, 29
Let d(u) be the first derivative of -43*u**2/2 - 61*u - 30. Let a be d(-19). Suppose a = 15*y - 9*y. What are the prime factors of y?
2, 3, 7
Let p = -34 - -16. Let h = p - -22. Suppose -h*f = f - 125. List the prime factors of f.
5
Suppose 0 = 5*p + 5*p - 90. Suppose 0 = -p*i + 17*i - 5632. What are the prime factors of i?
2, 11
Let d(k) = 137*k**2 + 50*k + 127. What are the prime factors of d(-10)?
13327
Let u(d) be the second derivative of 9*d**5/20 + d**4/3 - 5*d**3/3 + 15*d**2/2 - 22*d. What are the prime factors of u(2)?
83
Let v(t) = -2*t - 9. Let c be v(-5). Let y = c - 1. Suppose 2*b - 5*r = 55 + 163, 4*r + 16 = y. What are the prime factors of b?
3, 11
Let h(i) = i**3 + 8*i**2 - 4*i + 1. Let z be h(-8). Suppose -g + 5*s = 11, 4*s - 3*s = -2*g + z. Let p = 66 + g. What are the prime factors of p?
2, 5
Let r(n) = 6*n**3 - 6*n**2 + 5*n - 1. Suppose 0 = -2*y + 3*p - p + 12, 0 = -y + 2*p + 9. Let v be r(y). Let a = v - 35. List the prime factors of a.
3, 29
Suppose 10*p - 16*p - 5*b + 89517 = 0, -5*p + 3*b = -74619. List the prime factors of p.
2, 3, 829
Let j = 24 + -10. Let v(n) = 6*n**2 + 20*n - 22. Let i be v(1). Let g = j + i. What are the prime factors of g?
2, 3
Let q = 16132 - 8671. What are the prime factors of q?
3, 829
Let k(i) = i**2 + 17*i + 27. Let j(y) = y - 1. Let g(f) = 3*j(f) + k(f). Let d be g(-19). Suppose 8*v + d*a - 220 = 3*v, 3*a = -12. List the prime factors of v.
2, 3
Let i(h) = 598*h**2 + 24*h + 260. What are the prime factors of i(-6)?
2, 7, 773
Suppose -8*x + 12 - 28 = 0. List the prime factors of (x/(-3))/(118/150981).
853
Let t be (4/(48/(-28)))/(3/(-90)). Let l be 3/(7/(28/30))*t. Let p = 20 + l. List the prime factors of p.
2, 3
Suppose 7 = 3*g - 4*p, -g + 4*g + 1 = -4*p. Let k(y) = 2*y - 1. Let c be k(g). Suppose x = 49 + c. What are the prime factors of x?
2, 5
What are the prime factors of (-2)/7 - ((-892372)/91 + -4)?
2, 3, 5, 109
Suppose 0 = 2*p - 4*m - 13538, -5*p + 43341 = -5*m +
|
{
"pile_set_name": "DM Mathematics"
}
|
76. What is the highest common factor of c and 15?
15
Let g = 10 + -7. Let c = 53 + -13. Suppose -2*o + c = g*o. Calculate the greatest common factor of 24 and o.
8
Suppose -5*v + 6*u - u = -330, -196 = -3*v + 4*u. Suppose -69 + 18 = -3*f. What is the greatest common factor of f and v?
17
Suppose 3*f + 4*a + 120 = 7*f, 0 = -4*f + 5*a + 123. What is the highest common factor of 27 and f?
27
Let l = 9 - -1. Let i be -20*(4/2)/(-2). Calculate the greatest common factor of l and i.
10
Suppose -3*j + 839 + 181 = 0. Let d be (-4)/10 + j/(-25). Let w = 46 - d. What is the greatest common factor of 12 and w?
12
Suppose 8*r + 5*o = 3*r + 45, 4*r - 4*o - 60 = 0. What is the greatest common divisor of r and 12?
12
Suppose 8*l - 4*l = 76. Let k = 157 - 81. What is the highest common divisor of l and k?
19
Suppose m = 5*m - y - 32, 4*m = -5*y + 56. Let k be (-6 + 4 + -2)*6/(-24). Calculate the highest common factor of k and m.
1
Suppose 2*j + 2*o = 7*o + 26, -2*j + o = -26. Calculate the greatest common divisor of j and 39.
13
Let c be -40*(-3 + 5/2). Calculate the greatest common divisor of c and 60.
20
Let c = 39 + -14. Let i(d) = -d + d**2 + d**3 + 4*d**2 + 0*d. Let m be i(-5). What is the greatest common factor of m and c?
5
Let n = -13 + 15. Suppose 25 - 133 = -n*y. What is the highest common factor of y and 6?
6
Let g be (-1 - -4) + (10 - 46). Let l = -20 - g. Suppose -5*h - 305 = -5*i, -i + 4*h + h = -45. What is the greatest common divisor of l and i?
13
Suppose -15 = 2*v - 7*v. Suppose -5*d - v + 18 = 0. Suppose -5*g + 4*g = -2*t + 31, -d*t + 4*g = -54. What is the highest common factor of t and 112?
14
Let w be (-2)/(-5) - 316/(-10). Suppose 3*s - 6*s + 48 = 0. What is the greatest common factor of w and s?
16
Let s(r) = -r**3 - 4*r**2 + 2*r + 5. Let g be s(-4). Let x(c) = -2*c - 4*c - 4*c. Let k be x(g). Calculate the greatest common factor of k and 12.
6
Let o = -11 - -19. Let f(p) = 2*p**3 + 2*p**2 - 2*p. Let h be f(2). Calculate the highest common divisor of o and h.
4
Suppose 0*h - 141 = -3*h. Suppose 4*i = h + 9. Calculate the highest common divisor of i and 35.
7
Let p(x) = x**3 - 4*x**2 - 5*x + 7. Let u be p(6). What is the highest common factor of u and 7?
7
Suppose -18 = 14*a - 15*a. What is the greatest common divisor of 2 and a?
2
Let s = 8 + -3. Suppose g = -0 - s. Let w(u) = 8*u**2 + 6*u - 5. Let j be w(g). What is the greatest common divisor of 15 and j?
15
Suppose -2*w + 12 = -0. What is the greatest common factor of w and 3?
3
Let a = 124 + -36. Suppose -5*m + 72 - 131 = -4*j, -4*m - 23 = -j. Calculate the greatest common divisor of j and a.
11
Suppose -3*d = 4*s - 858, 0*d + s = 2*d - 583. Calculate the greatest common divisor of d and 29.
29
Suppose -4*i - 3*p = p - 68, -3*p = 5*i - 79. Calculate the greatest common divisor of i and 70.
14
Let z be 378/15*45/27. What is the highest common divisor of z and 70?
14
Suppose -2*b + 3*t = -18, 3 = b + 2*t + 8. Calculate the greatest common divisor of 21 and b.
3
Let r be 48/21 - (-4)/(-14). Suppose -n = 4*n + 10, 4*p + r*n = 4. Suppose 2*s = d - 13, -1 + 3 = -p*s. Calculate the highest common factor of 33 and d.
11
Let n be (-248)/(-6) - (-8)/(-24). Calculate the greatest common factor of 41 and n.
41
Let b(x) = 35*x**2 + 1. Let g(a) = -34*a**2 - 1. Let p(v) = 5*b(v) + 4*g(v). Let s be p(-1). What is the greatest common divisor of s and 8?
8
Let l be -6*(-3)/(-9)*-2. Let p(n) = 6*n - 4. Let x be p(l). What is the greatest common factor of x and 180?
20
Let w = 386 - 216. What is the highest common divisor of w and 17?
17
Let d(b) = -2*b**2 + 17*b + 6. Let g be d(8). What is the highest common divisor of 154 and g?
14
Let r = 44 + 21. Calculate the highest common factor of 13 and r.
13
Let s be 1/(-3 - 32/(-10)). Suppose 0 = 2*x - 4*f - 20, 1 = -3*f - s. What is the greatest common factor of x and 2?
2
Let q be (-14)/(-3)*(-48)/(-32). Calculate the highest common divisor of 21 and q.
7
Let r = -121 - -154. Calculate the greatest common divisor of 11 and r.
11
Let k(m) = 29*m + 59. Let u be k(9). What is the highest common divisor of 64 and u?
64
Suppose 4*f + f = 15. Calculate the highest common divisor of f and 1.
1
Let h be 2/12*-2*-66. Suppose -t + h = t. What is the highest common factor of 11 and t?
11
Let d be (0 - 1)/((-6)/258). Calculate the greatest common divisor of 301 and d.
43
Let q = -30 + 43. Let a(n) = 17*n**2 - 3*n - 1. Let t be a(3). What is the greatest common factor of t and q?
13
Let f be 44/(-6) + 2/6. Suppose 2*n - 60 = -3*n. Let o = f + n. What is the greatest common factor of o and 1?
1
Let n = 69 - -158. Suppose -67 = 2*a - n. What is the highest common factor of a and 10?
10
Let r = 12 + 33. What is the highest common divisor of r and 5?
5
Let k(a) = -a + 5. Let t be k(-1). Calculate the greatest common factor of t and 54.
6
Let n be 2/9 + 710/45. Let w be (-20 + 0)*36/(-5). What is the greatest common divisor of n and w?
16
Let z be (-2)/((-4)/30) - -1. Suppose 0 = 5*l - 106 + z. What is the greatest common factor of 72 and l?
18
Suppose 3*j + 16 - 5 = -m, -2*j - 26 = -4*m. Let d = -6 + 18. Calculate the highest common divisor of m and d.
4
Suppose -9*q + 298 - 100 = 0. Calculate the highest common factor of 2 and q.
2
Suppose 287 = 3*q - 43. What is the greatest common factor of 22 and q?
22
Suppose -4*n + 58 = -4*i + 14, -5*n + 10 = -2*i. Let x be (-162)/i - (-8)/(-10). What is the greatest common divisor of 10 and x?
10
Let o be (-1)/3 - (-38)/6. Let l be (-6)/15*(-1 + o). Let q be l/11 + 804/66. What is the highest common divisor of 8 and q?
4
Let h(x) = x**3 + 3*x**2 - 2*x - 1. Let s be h(-3). Let i = 11 - s. Let a(g) = 16*g. Let f be a(i). Calculate the highest common divisor of 12 and f.
12
Let b be ((-35)/(-1))/(0 + 1). Let c be (-3 + -4)/(2/(-4)). Calculate the highest common factor of c and b.
7
Let u(x) = x**3 + 3*x**2 - 5*x - 3. Let i(w) = -4*w + 13. Let v be i(4). Let g be u(v). What is the highest common divisor of g and 4?
4
Suppose 0 = -4*g - 3*q + 90, 0 = -3*g + 2*q + 60 + 16. What is the highest common factor of g and 8?
8
Let w be -1 + 1 + (-8 - -9). Calculate the highest common factor of 4 and w.
1
Suppose -38 = -2*x - 4*c, 0 = -x + 4*c - 7 - 4. Let r = -5 + x. Calculate the greatest common factor of 4 and r.
4
Let n(o) = -9*o + 8*o**2 + 4*o**2 + 9*o. Let f be n(1). Suppose 3*p - 4*s - 36 = p, -12 = -4*p - 4*s. Calculate the greatest common divisor of f and p.
4
Suppose -2*b = 4*d + 12, 2*b + d = 4*d - 26. Let o be (-21)/(-15) + (-6)/b. Calculate the highest common factor of o and 3.
1
Suppose -3*o + 9 + 3 = 0. Suppose -m + 4 = -3*m, o*r = -4*m + 156. Let f = r + -27. What is the highest common divisor of 7 and f?
7
Let u be (-78)/21 - (-2)/(-7). Let i(l) = -2 + 0*l + 2*l**2 - 3 + 3*l. Let j be i(u). Calculate the greatest common divisor of 3 and j.
3
Suppose -3*k - 2*n + 274 = 2*k, -5*k - 4*n + 278 = 0. Calculate the highest common divisor of k and 6.
6
Let u(w) = -10*w**3 + w**2 - 1. Let m be u(-1). Let s(b) = -4*b - 5. Let k be s(-5). Calculate the highest common factor of m and k.
5
Let b be 1/3 + 80/3. Suppose -42 = -5*w - 5*g + 23, 25 = -5*g. What is the highest common divisor of w and b?
9
Let d(o) = 111*o**2 + 1. Let p = -8 - -9. Let h be d(p). Calculate the greatest common divisor of h and 14.
14
Let k(l) = l**2 - l. Let n be k(-7). Let v = 46 + -32. Calculate the highest common divisor of v and n.
14
Suppose 2*j + 5*j = -77. Let t = 32 + j. Calculate the greatest common factor of 7 and t.
7
Let p(i) = -i**2 - i + 1. Let d(q) = 11*q**2 + 6*q - 8. Let w(f) = d(f) + 6*p(f). Let m be w(2). Calculate the greatest common factor of 162 and m.
18
Let v(p) = 8*p**3 + 2*p - 2. Let a be v(2). Let h(j) = 23*j**3 - 1. Let b be h(1). What is the highest common factor of a and b?
22
Suppose h = 5*o - 3*h - 24, h = -o + 12. Let g = -5 + o. Calculate the highest common factor of g and 21.
3
Suppose 0 = -4*c - t + 644 - 39, 3*t = -9. What is the highest common factor of 8 and c?
8
Suppose -2*l + 4*a = -98 - 22, -4*l + 4*a + 240 = 0. What is the highest common factor of 12 and l?
12
Let j be ((-2)/(-6) - 1) + 35/21. Let c = 2 - 1. What is the greatest common factor of c and j?
1
Suppose -5*x - 105 = -5*g, -x = 5*g - 112 + 25. What is the gr
|
{
"pile_set_name": "DM Mathematics"
}
|
give v.
-1
Express (13*i - 11*i + 74*i**2 + 56*i**2)*(-9*i + 10*i + 4*i) in the form h*i**3 + l*i**2 + n + q*i and give h.
650
Rearrange (886 - 447 - 439 + 38*v)*(-1 + 0 - 5)*(-2*v - 5 - 1 + 3) to the form a + c*v**2 + i*v and give i.
684
Rearrange -3752 + 3754 + 113*o**2 - 21*o**2 - 42*o**3 + 10*o**2 + 47*o**3 to the form i*o**2 + p*o**3 + s*o + r and give i.
102
Rearrange -12 - 2*d + 3*d - 26*d**2 - 5*d - d + 4*d to the form i*d**2 + h + t*d and give t.
-1
Express -18715*b + 795*b - 4701*b as o + k*b and give k.
-22621
Rearrange 506*g**3 - 249*g**3 + 412*g**3 + (5 + 0 - 4)*(g**3 + 4*g**2 - 4*g**2) - g**2 + g**2 + g**2 + 3*g**3 to the form r*g**3 + z*g + x*g**2 + p and give r.
673
Express (-147 + 393 + 260)*(g**2 + 0*g**2 + g**2 + (-3 + 0 + 1)*(-8*g + 8*g - 18*g**2)) as o*g + t*g**2 + w and give t.
19228
Express (-76*f - 82*f + 139*f + 4*f**2)*(-3*f + 2 + 0*f + 0*f) as l*f**2 + g*f**3 + z*f + w and give w.
0
Rearrange 53 - 552*z + 11 + 1692*z - 555*z - 563*z to y + l*z and give l.
22
Rearrange (-3 + 3 + j)*(214106 + 191324 - 366138) to g + m*j and give m.
39292
Rearrange -2*c**4 - 31*c**2 - 1 + 1526*c**3 + 36*c**2 - 1525*c**3 + 39*c to the form o*c**2 + p*c**3 + g*c**4 + d + j*c and give d.
-1
Express -2*f**2 - 3070*f**4 - 3083*f**4 + f - 2 + 74*f**3 + 6156*f**4 as m + j*f**4 + o*f**3 + q*f**2 + n*f and give n.
1
Rearrange -5 + 18*h**3 - 13*h**3 + h**2 + 2*h**4 - 14*h**3 - 4*h**2 + 1 to n*h**2 + g*h**3 + w*h + l + b*h**4 and give b.
2
Express (-2*f**3 - 87*f**2 + 87*f**2)*(2 + 2 - 7) + 211*f**3 - 69*f**3 + 325*f**3 in the form n*f**2 + p + k*f + m*f**3 and give m.
473
Rearrange (16*m**2 - 7*m - 109*m**2 - 180*m**2 - 3*m)*(0*m**2 + 0*m**2 - 3*m**2) to the form x*m + p*m**3 + u*m**4 + d + l*m**2 and give d.
0
Rearrange (16 + 9 - 8)*(2 + 1 + 4)*(2*v - 4*v - 15*v)*(-5 + 5 + 4*v) to the form u*v + y + t*v**2 and give u.
0
Express 13*g - 1734 + 1712 + 16*g + 4*g in the form x + u*g and give x.
-22
Express 420 - 576*p + 2*p**2 + 444 - 861 as b*p + k*p**2 + a and give k.
2
Rearrange -4*b**2 - 2*b - 3 + 12*b**2 + 4*b**2 - 14 + 5 to the form q*b**2 + r + v*b and give q.
12
Rearrange -344*p**4 + 176*p**4 + 26*p**3 + 170*p**4 - 13*p**2 - 14*p + 18*p to g*p**2 + o*p**4 + y*p + x*p**3 + z and give x.
26
Express (586*d + 28816 - 28816)*(-6*d + d + 2*d) as y*d**2 + p*d + n and give y.
-1758
Rearrange (-3 - 4 + 6)*(3*f - 3*f + 2*f**3) + f**2 + f**3 - f**2 + 31 - 343 - 4*f**3 + 1028 to the form g*f + a + l*f**3 + y*f**2 and give l.
-5
Express 20544*u**3 + 21523*u**3 - 40680*u**3 - 2*u as f*u**2 + v + z*u**3 + q*u and give f.
0
Express (-2 + 10 - 7 + 11)*(316 - 316 + 30*y)*(2*y**3 + 2 + 0 - 1) as x*y**2 + w*y**4 + u*y + d*y**3 + h and give u.
360
Express (3450 + 313*g**2 - 3450)*(18 + 5 - 34)*(-4*g + 4*g + 2*g)*(-4 + 1 + 2) as s*g**2 + l*g**3 + f*g + w and give l.
6886
Rearrange 2*z**3 - 1700*z**2 - 1704*z**2 - 1699*z**2 + 5104*z**2 + 12*z + 3 + 59*z**4 to the form y*z**4 + t*z**2 + w*z**3 + u + l*z and give u.
3
Express ((y - 3*y + 0*y)*(-403 - 394 - 88)*(0 - 2 + 1) - y - y + 3*y)*(0 - y + 0) as u*y**2 + o*y + n and give u.
1769
Rearrange -2*d + 26*d**4 + 4 + 95*d**2 - 64*d**2 - 32*d**2 to o + c*d**3 + i*d + g*d**2 + y*d**4 and give i.
-2
Express 54 + 4 + 19*y**4 - 50 - 7 + 4*y + 3*y**2 - 11*y**3 in the form t*y + i*y**2 + o*y**4 + a + q*y**3 and give i.
3
Express -309*b**2 - 17 + 8*b - 6*b - b + 15 + 0 in the form w*b + g*b**2 + m and give g.
-309
Express 0 + 2 - 3*g - g + 4*g**3 - 20*g**2 + 19*g**2 - 2*g**3 in the form v*g**3 + q*g + b*g**2 + i and give b.
-1
Express 85*p**4 - 4 + 30*p**4 - 119*p**4 - p**3 - 5*p**2 in the form g*p**3 + o*p + d*p**4 + b + s*p**2 and give d.
-4
Express -9332*i**2 - i + 1 - 16*i**3 - 9340*i**2 - 9 + 18668*i**2 as d*i + o + a*i**2 + z*i**3 and give o.
-8
Rearrange (2 - 3 + 3 + (3 - 14 + 7)*(3 + 3 - 4))*(-47*i - 38*i - 85*i)*(-4 + 1 + 7) to the form l + a*i and give a.
4080
Rearrange -2 + 592*d**3 - 86067*d + 86067*d to the form a*d + v + w*d**2 + i*d**3 and give v.
-2
Rearrange -17790*d - 2779 + 930 + 927 + 922 + (-d + 3*d + d)*(2 - 4 + 4) to the form x + a*d and give a.
-17784
Rearrange (-48*c + 11*c - 17*c)*(0 - 3 + 2) + (-3*c + c - 41*c)*(-3 + 1 + 1) to i*c + g and give i.
97
Express 432*s - 75*s**2 + 436*s + 433*s - 1310*s as q*s**2 + y*s + o and give y.
-9
Express (-134 + 17 - 54021*j**2 + 54001*j**2)*(j + j - 5*j) as a*j + u + l*j**3 + w*j**2 and give a.
351
Express (-27*c + 56*c + 22 - 27*c)*(181*c - 1317 + 1317) + (0*c - 2*c + c)*(2*c - 2*c - c) in the form q*c**2 + x + v*c and give q.
363
Express (80*p + 45*p - 76 + 77 - 2*p**2)*(2*p + 0 + 0) as k*p**2 + f*p**3 + z + u*p and give u.
2
Rearrange -1188*z + 1 - 169*z + 0 + 174*z to d*z + i and give d.
-1183
Express (688267 + 688287 - 1381408)*(0 + 0 + 2*f) in the form k*f + h and give k.
-9708
Rearrange -13148420 + 13148420 + 19*p**2 - 161*p to d + l*p + a*p**2 and give d.
0
Rearrange (6*r**2 - 20*r + 20*r)*(6199*r - 13082*r + 6366*r) + (-5 + 5 + 2*r)*(0*r + 0*r - r**2) to a*r + f*r**2 + i + k*r**3 and give k.
-3104
Express (-7*i**3 + 3*i**3 + 3*i**3)*(-2 + 3 - 2) + (-1653*i**2 + 764922*i - 764922*i)*(3*i - i - 4*i) as w*i**3 + b*i**2 + d + k*i and give k.
0
Express -460*l**3 + 466*l**3 - 4 - 2*l**2 + 3 - 5 + 9*l in the form o*l**3 + u + d*l**2 + x*l and give u.
-6
Express 1 + 11 + 3045*u**3 - 2*u**2 + 17 + 2 - 30 as q + x*u**3 + y*u + s*u**2 and give s.
-2
Rearrange 56152*h + 80*h**2 - 26*h**2 + 2*h**3 - 56151*h to r*h**3 + a + o*h + y*h**2 and give r.
2
Express 1779*k**4 + 9204*k**4 + 3087*k**4 + (2*k**2 + 3 - 3)*(-3 - 2 + 6)*(k**2 + 1 - k**2 + k**2) in the form o*k**4 + h*k + x*k**3 + g + c*k**2 and give o.
14072
Rearrange (473*s + 644*s - s**3 + 1294*s)*(4*s + 3*s - 4*s) to the form w*s**4 + n*s + t*s**2 + z*s**3 + o and give t.
7233
Rearrange 59 - 85 + 2153*j + 26 + 7685*j to the form a*j + o and give a.
9838
Rearrange ((4*h + 7*h - 4*h)*(1 + 0 - 2) - 5*h + 6*h + h)*(6*h**2 - 13 + h**2 - 9*h**2) to l*h**2 + q*h**3 + p*h + k and give p.
65
Rearrange -4741*i + 2949*i + 1439*i + 20715*i to the form x*i + d and give x.
20362
Rearrange -21 + 2 + 50*l + 0*l**2 - 4*l**2 + 7 + 2*l**2 to n*l + d*l**2 + r and give d.
-2
Express -2255*j - 3481*j + 212*j in the form d*j + v and give d.
-5524
Express ((24*u + 7*u + 7*u)*(-1 - 2 + 4) - 1 + 1 - 2*u + 7*u - 3*u - 2*u)*(-23 + 14 - 27) - 2*u - u + 2*u in the form a*u + i and give a.
-1369
Express (10120*u + 180 - 5074*u - 5058*u)*(u - u - u) as o + x*u + y*u**2 and give y.
12
Rearrange (102 + 19 - 8)*(0 + 2 + 0)*(-5*u + u + 5*u + (-5 + 2 + 1)*(-14*u + 12*u + 56*u)) to m*u + c and give m.
-24182
Express 375*x**3 - 48*x**3 - 10*x - 11*x - 8*x as f + b*x**2 + q*x + s*x**3 and give s.
327
Express -139 - 4*v + 5*v + 282 + 122*v**2 - 145 + 2*v**3 in the form r*v**2 + h + z*v + d*v**3 and give z.
1
Express (-13337 - 1610*u - 13151 + 26496)*(-4 - u + 3*u + u**2 + 2) as h*u + t*u**2 + k*u**3 + y and give k.
-1610
Express 1 + 1296980*j + j**4 - 3*j**2 - 1297042*j + 4*j**2 in the form k*j + g*j**2 + y*j**4 + t + o*j**3 and give t.
1
Rearrange (-1492*o**3 - 1314*o**3 - 1807*o**3)*(1 - 2 + 2) to the form g*o + x + a*o**2 + s*o**3 and give s.
-4613
Rearrange 846366 + 3*k - 846366 - 1136*k**3 to the form o*k + q*k**2 + y*k**3 + g and give g.
0
Rearrange (-4 + 3 + 2)*(z + 2 - 2) - 2524*z + 5009*z - 3471 - 2483*z to the form t*z + q and give q.
-3471
Express (-3*k + 6 + 60*k + 5*k)*(2 - 4 - 5) - k + 6*k + 0*k + (-k + k + k)*(4 - 2 - 1) - 4*k - 3*k + 5*k as f*k + l and give l.
-42
Express -u**2 - u**2 - 14533751 + 2*u**3 + 14535532 in the form l*u**3 + q*u**2 + n + k*u and give l.
2
Rearrange -9 + 6*j + 7 - 3 + 8 - 5*j - 98*j**2 to p*j**2 + z + a*j and give p.
-98
Rearrange -1908 + 1909 - 3*n**4 + 2*n - 5*n**4 - 6*n**3 + 4*n**4 - 2*n**2 + 3*n**4 to the form i*n**2 + a*n + f + s*n**4 + u*n**3 and give s.
-1
Rearrange (-c**2 - c**2 + 0*c**2)*(3*c - 2*c + c) + 294*c**2 - 2*c**3 + 2846 - 482*c**2 + 189*c**2 to h*c**2 + u*c**3 + q + i*c and give q.
2846
Rearrange 20398346 - 20398346 + 8229*n to the form t*n + v and give v.
0
Express 7588*a + 2156*a - 3328*a + 7392*a - 1361*a in the form p + u*a and give p.
0
Rearrange 64*p - 106202*p**2 + 10 + 53092*p**2 + 53096*p**2 to t*p**2 + w*p + b and give w.
64
Express (60*s - 8*s - 109*s - 47)*(14*s**3 - 6*s +
|
{
"pile_set_name": "DM Mathematics"
}
|
integer?
8
What is the sixth root of 49719443 to the nearest integer?
19
What is the square root of 129633366 to the nearest integer?
11386
What is the sixth root of 47559993 to the nearest integer?
19
What is the square root of 31375980 to the nearest integer?
5601
What is 125339295 to the power of 1/2, to the nearest integer?
11196
What is the third root of 245828701 to the nearest integer?
626
What is 280837466 to the power of 1/2, to the nearest integer?
16758
What is the cube root of 34700638 to the nearest integer?
326
What is the square root of 20590136 to the nearest integer?
4538
What is the square root of 3470002540 to the nearest integer?
58907
What is 406647263 to the power of 1/8, to the nearest integer?
12
What is 599037538 to the power of 1/2, to the nearest integer?
24475
What is 14907650 to the power of 1/5, to the nearest integer?
27
What is 466330092 to the power of 1/4, to the nearest integer?
147
What is the third root of 641384789 to the nearest integer?
862
What is 37290687 to the power of 1/8, to the nearest integer?
9
What is the square root of 517350378 to the nearest integer?
22745
What is 49413376 to the power of 1/4, to the nearest integer?
84
What is the third root of 87700936 to the nearest integer?
444
What is the seventh root of 185289034 to the nearest integer?
15
What is 494975633 to the power of 1/3, to the nearest integer?
791
What is 235385556 to the power of 1/2, to the nearest integer?
15342
What is 86944665 to the power of 1/5, to the nearest integer?
39
What is the seventh root of 1062591054 to the nearest integer?
19
What is the eighth root of 629734393 to the nearest integer?
13
What is 235948389 to the power of 1/2, to the nearest integer?
15361
What is the eighth root of 612579571 to the nearest integer?
13
What is the sixth root of 275108946 to the nearest integer?
26
What is 153550643 to the power of 1/5, to the nearest integer?
43
What is 567318041 to the power of 1/2, to the nearest integer?
23818
What is 211700702 to the power of 1/7, to the nearest integer?
15
What is 518574640 to the power of 1/4, to the nearest integer?
151
What is 2463012304 to the power of 1/2, to the nearest integer?
49629
What is the square root of 2535265923 to the nearest integer?
50351
What is the cube root of 218221125 to the nearest integer?
602
What is the fourth root of 4183495926 to the nearest integer?
254
What is the seventh root of 242618244 to the nearest integer?
16
What is the third root of 60949414 to the nearest integer?
394
What is 2173717086 to the power of 1/2, to the nearest integer?
46623
What is the third root of 73224142 to the nearest integer?
418
What is the square root of 526496283 to the nearest integer?
22946
What is the tenth root of 907749915 to the nearest integer?
8
What is 462260138 to the power of 1/2, to the nearest integer?
21500
What is 4470691686 to the power of 1/3, to the nearest integer?
1647
What is the square root of 3328619494 to the nearest integer?
57694
What is 3771762601 to the power of 1/2, to the nearest integer?
61415
What is 26310615 to the power of 1/3, to the nearest integer?
297
What is the square root of 323299575 to the nearest integer?
17981
What is the square root of 190157129 to the nearest integer?
13790
What is 365128525 to the power of 1/2, to the nearest integer?
19108
What is the eighth root of 30660248 to the nearest integer?
9
What is 8823108 to the power of 1/3, to the nearest integer?
207
What is the seventh root of 79572547 to the nearest integer?
13
What is 3140921030 to the power of 1/2, to the nearest integer?
56044
What is 381726316 to the power of 1/2, to the nearest integer?
19538
What is the square root of 1483712439 to the nearest integer?
38519
What is 2060416158 to the power of 1/2, to the nearest integer?
45392
What is 75961664 to the power of 1/3, to the nearest integer?
424
What is the square root of 15414850 to the nearest integer?
3926
What is the ninth root of 281366010 to the nearest integer?
9
What is the square root of 101590503 to the nearest integer?
10079
What is the cube root of 713295521 to the nearest integer?
893
What is the fourth root of 137699545 to the nearest integer?
108
What is the fifth root of 67170381 to the nearest integer?
37
What is the square root of 341465336 to the nearest integer?
18479
What is 1354977911 to the power of 1/3, to the nearest integer?
1107
What is 76895320 to the power of 1/5, to the nearest integer?
38
What is the seventh root of 93597916 to the nearest integer?
14
What is the cube root of 270016038 to the nearest integer?
646
What is 634389282 to the power of 1/9, to the nearest integer?
10
What is the cube root of 1864926103 to the nearest integer?
1231
What is the square root of 185868710 to the nearest integer?
13633
What is 41270893 to the power of 1/3, to the nearest integer?
346
What is 4624519311 to the power of 1/9, to the nearest integer?
12
What is the cube root of 364391258 to the nearest integer?
714
What is the tenth root of 1098030223 to the nearest integer?
8
What is 512854294 to the power of 1/10, to the nearest integer?
7
What is 42873850 to the power of 1/2, to the nearest integer?
6548
What is 495360667 to the power of 1/3, to the nearest integer?
791
What is the square root of 52019417 to the nearest integer?
7212
What is 1462527661 to the power of 1/5, to the nearest integer?
68
What is the third root of 355685641 to the nearest integer?
709
What is 57965595 to the power of 1/3, to the nearest integer?
387
What is 896949472 to the power of 1/2, to the nearest integer?
29949
What is the square root of 8450825 to the nearest integer?
2907
What is 3227222573 to the power of 1/7, to the nearest integer?
23
What is 3387695191 to the power of 1/2, to the nearest integer?
58204
What is the square root of 24717534 to the nearest integer?
4972
What is the ninth root of 52300633 to the nearest integer?
7
What is the square root of 57954354 to the nearest integer?
7613
What is 134815857 to the power of 1/6, to the nearest integer?
23
What is the third root of 1625508980 to the nearest integer?
1176
What is the cube root of 1745400 to the nearest integer?
120
What is 165912092 to the power of 1/3, to the nearest integer?
549
What is the third root of 20151415 to the nearest integer?
272
What is the square root of 52750800 to the nearest integer?
7263
What is 393360946 to the power of 1/3, to the nearest integer?
733
What is the seventh root of 1956643146 to the nearest integer?
21
What is the square root of 290886796 to the nearest integer?
17055
What is 582097697 to the power of 1/3, to the nearest integer?
835
What is the fifth root of 5589962073 to the nearest integer?
89
What is the square root of 316196459 to the nearest integer?
17782
What is 50524414 to the power of 1/7, to the nearest integer?
13
What is the cube root of 2465191367 to the nearest integer?
1351
What is the square root of 4847304850 to the nearest integer?
69623
What is the fifth root of 40625375 to the nearest integer?
33
What is 11448365 to the power of 1/10, to the nearest integer?
5
What is the third root of 1720660203 to the nearest integer?
1198
What is the third root of 46903137 to the nearest integer?
361
What is the fourth root of 1561586659 to the nearest integer?
199
What is 223021340 to the power of 1/2, to the nearest integer?
14934
What is the cube root of 27713925 to the nearest integer?
303
What is 57761776 to the power of 1/2, to the nearest integer?
7600
What is the square root of 87233357 to the nearest integer?
9340
What is the square root of 29923225 to the nearest integer?
5470
What is the seventh root of 299036405 to the nearest integer?
16
What is 1615148389 to the power of 1/7, to the nearest integer?
21
What is the cube root of 539199330 to the nearest integer?
814
What is the tenth root of 1551822557 to the nearest integer?
8
What is the cube root of 410180536 to the nearest integer?
743
What is the square root of 1404172630 to the nearest integer?
37472
What is the third root of 981128323 to the nearest integer?
994
What is the sixth root of 997885364 to the nearest integer?
32
What is 19499591 to the power of 1/8, to the nearest integer?
8
What is 161552458 to the power of 1/8,
|
{
"pile_set_name": "DM Mathematics"
}
|
s of 40208?
2, 7, 359
List the prime factors of 119391.
3, 17, 2341
List the prime factors of 548.
2, 137
List the prime factors of 8163.
3, 907
List the prime factors of 12795.
3, 5, 853
What are the prime factors of 703?
19, 37
What are the prime factors of 42534?
2, 3, 17, 139
What are the prime factors of 10149?
3, 17, 199
List the prime factors of 68494.
2, 23, 1489
What are the prime factors of 72728?
2, 9091
What are the prime factors of 935?
5, 11, 17
What are the prime factors of 22839?
3, 23, 331
What are the prime factors of 363?
3, 11
List the prime factors of 4452.
2, 3, 7, 53
What are the prime factors of 176?
2, 11
List the prime factors of 9938.
2, 4969
What are the prime factors of 116476?
2, 37, 787
What are the prime factors of 5070?
2, 3, 5, 13
List the prime factors of 7517.
7517
What are the prime factors of 19528?
2, 2441
What are the prime factors of 4701?
3, 1567
What are the prime factors of 91287?
3, 7, 23
What are the prime factors of 2830?
2, 5, 283
List the prime factors of 2782.
2, 13, 107
List the prime factors of 183108.
2, 3, 15259
What are the prime factors of 35175?
3, 5, 7, 67
List the prime factors of 2120.
2, 5, 53
What are the prime factors of 6854?
2, 23, 149
List the prime factors of 45561.
3, 15187
What are the prime factors of 9491?
9491
What are the prime factors of 10178?
2, 7, 727
List the prime factors of 17977.
17977
List the prime factors of 71787.
3, 23929
What are the prime factors of 1043?
7, 149
What are the prime factors of 24217?
61, 397
What are the prime factors of 9434?
2, 53, 89
List the prime factors of 30457.
7, 19, 229
List the prime factors of 42013.
42013
What are the prime factors of 33574?
2, 16787
List the prime factors of 4584.
2, 3, 191
List the prime factors of 17011.
17011
What are the prime factors of 732?
2, 3, 61
List the prime factors of 2026.
2, 1013
List the prime factors of 153752.
2, 19219
What are the prime factors of 3073?
7, 439
What are the prime factors of 54448?
2, 41, 83
What are the prime factors of 1679?
23, 73
What are the prime factors of 440?
2, 5, 11
What are the prime factors of 417?
3, 139
List the prime factors of 22633.
13, 1741
List the prime factors of 50267.
7, 43, 167
What are the prime factors of 1892?
2, 11, 43
List the prime factors of 1472.
2, 23
What are the prime factors of 255?
3, 5, 17
List the prime factors of 2023.
7, 17
List the prime factors of 27696.
2, 3, 577
What are the prime factors of 4412?
2, 1103
What are the prime factors of 152?
2, 19
List the prime factors of 5361.
3, 1787
What are the prime factors of 16055?
5, 13, 19
What are the prime factors of 11646?
2, 3, 647
What are the prime factors of 26928?
2, 3, 11, 17
What are the prime factors of 5580?
2, 3, 5, 31
What are the prime factors of 1923?
3, 641
What are the prime factors of 9469?
17, 557
What are the prime factors of 7949?
7949
What are the prime factors of 3167?
3167
What are the prime factors of 35744?
2, 1117
List the prime factors of 782.
2, 17, 23
List the prime factors of 187.
11, 17
What are the prime factors of 9962?
2, 17, 293
What are the prime factors of 2443?
7, 349
What are the prime factors of 7101?
3, 263
What are the prime factors of 5034?
2, 3, 839
List the prime factors of 1495.
5, 13, 23
What are the prime factors of 14860?
2, 5, 743
List the prime factors of 13443.
3, 4481
What are the prime factors of 42429?
3, 14143
List the prime factors of 887.
887
What are the prime factors of 10416?
2, 3, 7, 31
What are the prime factors of 2045?
5, 409
List the prime factors of 4662.
2, 3, 7, 37
What are the prime factors of 4962?
2, 3, 827
List the prime factors of 129782.
2, 64891
What are the prime factors of 39618?
2, 3, 31, 71
List the prime factors of 64222.
2, 163, 197
List the prime factors of 6129.
3, 227
List the prime factors of 6081.
3, 2027
List the prime factors of 110911.
197, 563
What are the prime factors of 8814?
2, 3, 13, 113
What are the prime factors of 5085?
3, 5, 113
What are the prime factors of 525?
3, 5, 7
List the prime factors of 11392.
2, 89
List the prime factors of 12520.
2, 5, 313
List the prime factors of 8059.
8059
List the prime factors of 13173.
3, 4391
What are the prime factors of 20030?
2, 5, 2003
List the prime factors of 49897.
41, 1217
What are the prime factors of 9590?
2, 5, 7, 137
List the prime factors of 25.
5
What are the prime factors of 12483?
3, 19, 73
What are the prime factors of 14340?
2, 3, 5, 239
What are the prime factors of 5312?
2, 83
What are the prime factors of 982?
2, 491
What are the prime factors of 36598?
2, 29, 631
What are the prime factors of 1126?
2, 563
List the prime factors of 15622.
2, 73, 107
List the prime factors of 7501.
13, 577
What are the prime factors of 3687?
3, 1229
What are the prime factors of 56?
2, 7
What are the prime factors of 12948?
2, 3, 13, 83
What are the prime factors of 738?
2, 3, 41
What are the prime factors of 10740?
2, 3, 5, 179
List the prime factors of 146.
2, 73
What are the prime factors of 637?
7, 13
List the prime factors of 1332.
2, 3, 37
List the prime factors of 5440.
2, 5, 17
List the prime factors of 2712.
2, 3, 113
List the prime factors of 42062.
2, 21031
List the prime factors of 782.
2, 17, 23
List the prime factors of 10791.
3, 11, 109
List the prime factors of 610.
2, 5, 61
List the prime factors of 31183.
31183
List the prime factors of 64007.
64007
List the prime factors of 2435.
5, 487
What are the prime factors of 8677?
8677
List the prime factors of 2495.
5, 499
What are the prime factors of 20181?
3, 7, 31
List the prime factors of 20938.
2, 19, 29
List the prime factors of 56181.
3, 61, 307
List the prime factors of 24030.
2, 3, 5, 89
What are the prime factors of 2348?
2, 587
What are the prime factors of 63801?
3, 17, 139
What are the prime factors of 6072?
2, 3, 11, 23
List the prime factors of 1100.
2, 5, 11
List the prime factors of 473.
11, 43
What are the prime factors of 24349?
13, 1873
List the prime factors of 6014.
2, 31, 97
What are the prime factors of 45641?
45641
What are the prime factors of 1319?
1319
List the prime factors of 4522.
2, 7, 17, 19
What are the prime factors of 748?
2, 11, 17
What are the prime factors of 85024?
2, 2657
List the prime factors of 447.
3, 149
List the prime factors of 428.
2, 107
List the prime factors of 7481.
7481
List the prime factors of 29228.
2, 7307
List the prime factors of 1779.
3, 593
List the prime factors of 4987.
4987
List the prime factors of 3296.
2, 103
What are the prime factors of 9958?
2, 13, 383
What are the prime factors of 54051?
3, 43, 419
List the prime factors of 26706.
2, 3, 4451
List the prime factors of 16817.
67, 251
List the prime factors of 941.
941
List the prime factors of 1034.
2, 11, 47
List the prime factors of 42056.
2, 7, 751
What are the prime factors of 28607?
28607
List the prime factors of 44349.
3, 14783
What are the prime factors of 5240?
2, 5, 131
What are the prime factors of 286?
2, 11, 13
List the prime factors of 6868.
2, 17, 101
What are the prime factors of 53694?
2, 3, 19, 157
List the prime factors of 2851.
2851
What are the prime factors of 13318?
2, 6659
List the prime factors of 2196.
2, 3, 61
What are the prime factors of 12719?
7, 23, 79
List the prime factors of 7175.
5, 7, 41
What are the prime factors of 49410?
2, 3, 5, 61
What are the prime factors of 19253?
13, 1481
List the prime factors of 6541.
31, 211
What are the prime factors of 787?
787
What are the prime factors of 44590?
2, 5, 7, 13
List the prime factors of 43314.
2, 3, 7219
What are the prime factors of 593?
593
List the prime factors of 2448.
2, 3, 17
List the prime factors of 2324.
2, 7, 83
What are the prime factors of 12098?
2, 23, 263
What are the prime factors of 4962?
2, 3, 827
List the prime factors of 404.
2, 101
List the prime factors of 25574.
2, 19, 673
What are the prime factors of 80?
2, 5
What are the prime factors of 24287?
149, 163
List the prime factors of 12848.
2, 11, 73
What are the prime factors of 21990?
2, 3, 5, 733
List the prime factors of 233.
233
List the prime factors of 13269.
3, 4423
List the prime factors of 37760.
2, 5, 59
What are the prime factors of 3037?
3037
List the prime factors of 7297.
7297
What are the prime factors
|
{
"pile_set_name": "DM Mathematics"
}
|
- 9*a + 9 - 47 = 0 for s.
65
Solve n + 12 = n + 6*t, -4*n - 86001 = 4*t - 85993 for n.
-4
Solve -2*b + a + 54 = 30, -8*a = b - 29 for b.
13
Solve -556*r + 2*h = -553*r + 2, -11*h - 67 = 3*r for r.
-4
Solve 4*b = 2*x + 34, 4*b + 14254 + 14187 + 14199 = 5*x + 42707 for b.
3
Solve 26*r + 23*r + 130 = 54*r, 0 = -32*p - 5*r + 2 for p.
-4
Solve -51 = -r - 6*u, -46*r - 16*u + 116 = -50*r for r.
3
Solve 2*c = -2*x + 7 + 5, 24*c - 4*x - 7189 + 7213 = -9*c for c.
0
Solve -5*r = 4*b - 11304 + 11428, 124 = 2*b - 6*b - 3*r for b.
-31
Solve 55*i - 44 = 19*i + 18*i + 22*i + 2*n, -5*n + 20 = 0 for i.
-13
Solve 0 = 5*w + 10, -3*u + 12 + 7 = 3*w - 8*w - 20 + 8 for u.
7
Solve 6*x + 3*p - 54 = 0, 17747*x = 17752*x - 4*p + 59 for x.
1
Solve 103 = -98918*y + 98922*y + 5*a, -2*y + 84 = -4*a for y.
32
Solve -5*h + 6*u - 46 = 0, -37*h - 45*h + 85*h - 3*u + 4*u = 0 for h.
-2
Solve 6 = -26*p + 81*p + 12*p - 4*h - 104, -5*h = p - 32 for p.
2
Solve 2*j = 2*k - 52, 119592*k - 119587*k - 154 = -3*j for j.
3
Solve -4*v + 0*g = 4*g + 16, 14*v + 6*g + 6*g = -0*g - 38 for v.
5
Solve -17*q - 789 = -5*o, -18293*q = 3*o - 18291*q + 100 for o.
-2
Solve -40*f - 94 = -17*f - n, -n + 64 = 4*f + 78 for f.
-4
Solve -801*j = -798*j + 540*p + 10269, 22 = -j - p for j.
-3
Solve 3*a - 1 = -2*m, -262*a = -130*a - 136*a + 3*m + 7 for a.
1
Solve 2*c - 10939 = 194*d - 2403, 0*c = -c - 2*d - 88 for c.
0
Solve 5*v + 650*o - 314*o - 333*o = -85, -4*v + 86 = -2*o for v.
4
Solve -39237272 = -3*x - 3*h - 39237179, 2*x = 2*h - 50 for x.
3
Solve -4*s - 44 = 2*b, -184*s - 414 = -6*b - 154*s for b.
4
Solve -b = -3, d - 32*b - 625 = -28*b - 641 for d.
-4
Solve -1649*p - 12*b = -1650*p + 58, 8 = -6*b - 2 - 20 for p.
-2
Solve 2182*r + 60*q + 132 = 2185*r, 3*r + 4*q - 4 = 0 for r.
4
Solve -j + 30 = -6*f, -20*j - 23 = -23*j + 2*f - 8 - 5 for j.
0
Solve 3*f + 156021 = -13*h + 6*h + 156038, -5*f - 3*h - 15 = 0 for f.
-6
Solve -5*t - 4*t + 12*t = 2*l - 350, -182*t + 26*t = -4*l + 18400 for l.
-2
Solve 158*q = 315*q - 153*q - 7*u - 155, -q - 139 = 3*q + 7*u for q.
2
Solve -4*v + 16 = -4*n, 7*v + 16 = -2*n + 30 - 31 for n.
-5
Solve -2686*l = 3*s - 2688*l + 20, -4*s + 130 = 13*l for s.
0
Solve -1090*k = -2154*k + 1063*k - b + 5*b + 26, 5*b = -18*k - k - 73 for k.
-2
Solve -5*g + 35 = 4*p, 3*p + 89 = -4*g + 117 for g.
7
Solve 3*a = w - 18 + 6, -289*w - 288*w + 4 = -575*w - 2*a for w.
-3
Solve 0 = -4*j + 5*j + 19, -63*q - 58*q + 122*q - 208 = 11*j for q.
-1
Solve 3*d = -756 + 813, 3*n - 4*d - 6 + 2 = -5*d for n.
-5
Solve t = 2*t + 3*l + 2, -t - 4*l + 5350 = -2*l + 5354 for t.
-8
Solve x + 6*j + 23 = 4*j, 2*x = -3*x - 5*j - 75 for x.
-7
Solve 57278*u - 57275*u + 721 = 8*b, 2*u = -5*b + 439 for b.
89
Solve -5*f - 102*t + 87 = -99*t, -5*f = 67*t - 343 for f.
15
Solve 50*f = 5*t + 45*f - 10, 5*t + 39 = -6*f - 6 for t.
-3
Solve 0 = -10*s - 2*a + 112, -4*a = -5*s + 212 - 186 for s.
10
Solve -a + 80 = -43*w - 29*w + 4*a - 362, w - 4*a - 22 = 6*w for w.
-6
Solve -4*p + 44 = -16*a, 48*p - 95*p = -4*a - 42*p - 23 for a.
-2
Solve 8 = 230*t - 226*t + 5*w, 6*t + 17 = -0*t - 4*w + 43 for t.
7
Solve -4*u - 4559 + 4535 = -3*s, -2*u + s = 12 for u.
-6
Solve -9241*g = -9249*g - 2*z - 26, -52 = -2*g + 4*z for g.
0
Solve 0 = -5*d - w - 24, -213*w + 425*w - 217*w = -d - 13 + 3 for d.
-5
Solve 0 = -5*y - 45, 4 + 93 - 12 = h - 9*y for h.
4
Solve 2*v - 4*z - 10 = 0, 2*v - 2*z + 2476 = 2484 for v.
3
Solve 224 = 12*r + 4*t, 0 = -478724*r + 478729*r + 2*t - 116 for r.
-4
Solve 7*y = 7*y + 2*p - 6, 17 = -2*y + p - 4*p for y.
-13
Solve -20 = 4*n + 3*m - 0, 4*m - 3 + 18 = -3*n for n.
-5
Solve 115*q = -m - 541, -42 = -5*q - m - 14 - 19 for q.
-5
Solve 4*r - 45 = 3*a, 3*a = -4*r + 10452 - 10377 for r.
15
Solve 0 = -m - 2109*y + 2095*y - 4, 5*m - y = 122 for m.
24
Solve -3*s + 2*j = 3, -23*s - 9*j - 66 = -6*j + 12 for s.
-3
Solve -3*l - 1820*c = -1817*c + 57, 5*c + 95 = 2*l for l.
0
Solve -m + 9*s + 4*s - 326 = 0, -354*m + 357*m + 5*s = 122 for m.
-1
Solve -9 = -4*c - 5*f, 4*c - 102555*f + 102550*f + 1 = 0 for c.
1
Solve 2*h = -5*c + 52, 2691*c - 2687*c = -5*h + 45 for c.
10
Solve -5*o + 2*m + 20 = 0, 3*o + 6*m - 90 = -151 + 73 for o.
4
Solve 12*b + 4*c + 23 = 2*c - 35, 0*c - 3*c = -5*c - 46 for b.
-1
Solve 3*h = n + 60, -3*h = 95*n - 177*n + 75*n - 384 for n.
-54
Solve -5*l = -i - 7455 + 7437, -22*l = 4*i - 111 + 15 for i.
2
Solve b + 4*z - 4*z - 5*z = -16, 247 - 99 = 35*b + 2*z for b.
4
Solve o + 3 = 5*x - 1, 12*x = 3*o + 2*o + 20 for x.
0
Solve 2*g = 2*i + 54, i + 2*i - 11*g + 57 = -0*i for i.
-30
Solve -899*z + 895*z = l + 22, -16*l = -3*z - 50 for z.
-6
Solve 24*d = 3*p - 702, -17*d + 21*d + 73 = 4*p - 51 for p.
2
Solve 40*r - 20*r = 16*r + 2*i + 98, 4*r - i = 15 + 82 for r.
24
Solve 0 = -12*j - 3*b - 367 + 61, -4*j - 2*b = 188 for j.
-4
Solve -13246 + 13312 = -3*b + j, -j = -20*b - 440 for b.
-22
Solve -11*z = -b - 6, 13853*z - 13852*z - 1 = 0 for b.
5
Solve 5*w + 0*u + u = 1, 4*u = 16*w + 64*w + 5*u - 1 for w.
0
Solve -325*d = -5*g - 323*d + 38, -4*g - d - 7 + 1 = 0 for g.
2
Solve -3*z + 2*k = -45, 7*z = 15*z - 3*z + 4*k - 97 for z.
17
Solve 2*y + 3*u - 305 = -249, 0 = 5*y + 2*u - 52 for y.
4
Solve -35*k - 4*z - 1404 = 0, -1024*k + 4*z - 36 = -1023*k for k.
-40
Solve 0 = -q + 5*q + 2*c + 62, 35*q + 13*c - 6*c - 2*c + 55 = 0 for q.
4
Solve -2*n - 4*w = 26, 0*n - 3*w - 3126 + 3099 = 3*n for n.
-5
Solve -10*v + 25*q = 8*v + 270, -2*v - 396*q + 398*q - 30 = 0 for v.
-15
Solve 48*u - 98 = 46*u - 4*f, 98 = 2*u + 33*f for u.
49
Solve 20 = -3*s + s - 5*m, 269001*s = 268998*s + 4*m - 7 for s.
-5
Solve 4*c - 202*h + 200*h + 48 = 0, 4*c + 2*h = 16 for c.
-4
Solve -7*d + 72 = 3*f - 11, f + 3001 = -2*d + 3030 for d.
-4
Solve 4*q + 30 = 7*m, -2*m + 215601 - 215593 = -q for m.
2
Solve -f - 6*c + 13 = 0, -6509*c + 6513*c = 5*f + 37 for f.
-5
Solve -307*c = -310*c - 4*p - 61, -4*p = -6*c + 70 for c.
1
Solve -669 = 9*z + 2*f, 4*z + 7129*f + 306 = 7131*f for z.
-75
Solve -6*z = -3*m - 36, -28 = m + 27*z - 25*z for m.
-20
Solve 5*i = 5*v - 55, 21*v + 5*i - 33 - 10 = 16*v + 7*i for v.
7
Solve 0 = -3*n + 3*f + 6, -3*n - 1487*f + 1488*f = -0*n + 4 for n.
-3
Solve 14*f - 3*c + 71 = 0, 5851*c - 5846*c = f + 29 for f.
-4
Solve z - 4*p + 63 = 0, -5*z + 44*p = 85*p - 722 for z.
5
Solve 4*d = -4*n - 42*d - 2734, -5*n - 261 = -0*n + 4*d for n.
-5
Solve 2376*a + 66*q = 2375*a + 862, 4*q - 32 = 5*a for a.
4
Solve -4*t + 20 = s - 6, 5*t = 3*s - 26274 + 26196 for s.
26
Solve 0 = 3*t + 28*w - 87, 63175*w - 9 = -3*t + 63173*w for t.
1
Solve -5*k - 26 = o, 42*o - 104*k - 116*k + 223*k + 603 = -12*o for o.
-11
Solve 121*g - 526 = 119*g + 172*l, -l = -4*g - 4*l + 11 for g.
5
Solve 2*d - 7*k = -20 + 8 + 29, -4*k + 0*k = -12 for d.
19
Solve g = 5*r + 66, 2*g = -510*r + 508*r - 24 for r.
-13
Solve m - 370*q + 1 = -369*q, -10*m + 0*q + 4*q = -20 for m.
4
Solve 0*a - 1224*u - 14 - 10 = -a - 2*a - 1221*u, u = -3 for a.
5
Solve 5*s = -2*m - 118, -7*m + 3*s = 11*m - 17*m - 18 - 44 for m.
-4
Solve 2*q - 519*a = q - 524*a - 8, -5*a + 41 = 8*q for q.
7
Solve 28350*h = 28347*h + 6*v - 18, 4*v = 3*h + 14 for h.
-2
Solve 0 = -7*p + 4*v - 4659 + 4694, 0 = 4*p - 3*v - 20 for p.
5
Solve -4*v + 2*c = -137 + 156 - 75, 0 = 2*v + c - 24 for v.
13
Solve -6 = a - 6*a + 19, -5*m + 7*a + 6*a - 60 = 0 for m.
1
Solve -370 = 7*h + 5*q, -h + q - 370 = 6*q for h.
0
Solve -5*v = -5*b + 155, 67*v - 67*v - 191 = 4*b + 5*v for b.
-4
Solve 5*h = -n + 4, -3*n - 337589 = 6*h - 337619 for n.
14
Solve -47*q - 47*q + 78 = 2*b - 84*q, 0 = -b + q + 15 for b.
19
Solve 0*m - 3*m - 8 = 2*y, -2280*y + m = -2275*y - 31 for y.
5
Solve 0 = 3*i + 5*c - 4 + 37, 5*i + 7*i - 2*c = 0 for i.
-1
Solve -244*y - 3*x + 289 = 0, -2501*y = -2502*y - 5*x + 76 for y.
1
Solve -12 - 3 = -5*v + 5*s + 5, v - 8*s - 7 = -2*v for v.
5
Solve -21*o + 781 + 347 = 3*k, 5*o + 11*k - 8*k - 280 = 0 for o.
53
Solve 3*a - 5*w = 30, 19*a + 14*w = 49*a - 26*a - 106 for a.
-5
Solve 3*r = -4*h + 45 - 55 - 56, -4*r + 2*r = -h + 44 for r.
-22
Solve 4*n - 294*x = -297*x - 113, -2*n - 4*x = 44 for n.
-32
Solve 0 = -4*f + 5*q + 36, 5*q + 8196 - 8244 = -2*f for f.
14
Solve 0 = -14*j + 2*o + 150, -6*j + 10*j - 2*o = 138 - 98 for j.
11
Solve -23*x + 3*g = -14*x + 45, 5*x - 15 = -9*x + 17*x + g for x.
-5
Solve 3*u = 4*k + 2 - 36, -16*k + 11*k = -9*k + 16 for u.
-6
|
{
"pile_set_name": "DM Mathematics"
}
|
v**(-34/105)
Simplify s/(s**(1/6)*s*s)*s**(2/21)*((s**(2/5)/s*s)/s)**(-24)*s**5*s*s*s**0*(s**(-1))**0 assuming s is positive.
s**(1423/70)
Simplify (c**(-11)/c*c**(4/9)*(c/(c*(c*c**(-4))/c))**(-2))**(6/23) assuming c is positive.
c**(-352/69)
Simplify ((x/(x**(-2/81)/x))**(-1/51)/(x**(-11)/x**(-8/5)))**(-8) assuming x is positive.
x**(-1546696/20655)
Simplify (((k*k**(1/7))/k)**(25/3)/(k*k**(-20)/k*k**(-2/57)))**(1/3) assuming k is positive.
k**(941/133)
Simplify (s/(s*s**(1/4))*s*s**(-3)/s*(s**(-13)*s)/s**(-15))**(-3) assuming s is positive.
s**(3/4)
Simplify ((l*l**1*l)**(-34))**(2/57)/(((l*l*l*l/(l/l**(1/5)))/(l**0/l))/(l**(-1)*l)**(-16/3)) assuming l is positive.
l**(-739/95)
Simplify ((r**(-1/6)/r*r/(r/(r**(-2/13)/r))*r**(-1/5)*(r/(r*r*r**(2/21)*r))/r)**7)**(35/6) assuming r is positive.
r**(-107317/468)
Simplify o**4/o**(-6)*o*((o**(-6)*o)/o)/o*o/(o**4/o*o)*((o*o/o**(-2/7))/o*o*o)**(2/13)*o**(1/2)*o**(-2/21) assuming o is positive.
o**(149/78)
Simplify v*v/(v**(1/7)*v)*v/(v*v/v**(3/2))*v/v**(-6)*v**3*((v/((v/(v*v*v**(3/8)))/v))/((v*v**(2/9)*v)/v))**48 assuming v is positive.
v**(4817/42)
Simplify (b**(-2)*b/(b**(-2/17)*b)*(b**(-2/59)/b)/b**(-8))**7 assuming b is positive.
b**(35693/1003)
Simplify ((i/(i*i/((i*(i*i**1*i)/i)/i*i)))**(-3))**(-2/27)*(((i**(2/5)/i)/i)/i)/i*i**3*i/i**(-2)*i*i/i**(5/2) assuming i is positive.
i**(211/90)
Simplify ((z*z*z**(-1/19)*z*z**(-18))/(z**(3/4)/(z/(z/(z*z/z**3)))))**(-6/11) assuming z is positive.
z**(3831/418)
Simplify (y*y/(y*y/(y*y**(2/23)*y))*y)/(y*y*y**32*y)*y**(10/9)*y/y**(2/17) assuming y is positive.
y**(-105287/3519)
Simplify ((z**(-1/3)/z)**(-5))**26*((z**(-2))**(1/5))**(-1/3) assuming z is positive.
z**(2602/15)
Simplify ((m/(m*m**(-2)*m*m))**(-22/9))**3*(m**(2/17)*m/m**(-2))/((m*m*m/(m/(m*m*m**(-7)*m))*m)/((m*m/(m/m**(2/5))*m)/m)) assuming m is positive.
m**(469/85)
Simplify (((x*x**12)**(-48))**(-35))**(4/19) assuming x is positive.
x**(87360/19)
Simplify ((h*(h/(h**(-1/5)*h))/h*h**(5/2))/(h**0*h**2))/((h**5*h*h**(-1))/(h**1)**39) assuming h is positive.
h**(347/10)
Simplify ((z*z**6*z/(z**(-2)/z))/((z*z**1)/z)**(3/2))/((z/(z*z/(((((z/z**(-1/4))/z)/z)/z)/z)))/(z**5/z)*z**6/z**5) assuming z is positive.
z**(65/4)
Simplify ((u*u*u/((u/(u**(-4)*u))/u)*u*u*u/(u/u**(-5/7))*(u*(u/(((u**5*u)/u)/u))/u)**18)**(3/17))**(3/11) assuming u is positive.
u**(-3321/1309)
Simplify (h/(h/h**46)*h*h*h**6)/(h**9/h)**(5/3) assuming h is positive.
h**(122/3)
Simplify ((d**(-1)*d)/(d**(-3/2)*d))/(d**2/((d/(d/d**(2/9)))/d))*(d/d**(-2/7))**(-27/7)/((d*d**(-5)*d)/d**1) assuming d is positive.
d**(-2855/882)
Simplify (w*w**5*w*w)**19*(w/w**(-3))**(-48) assuming w is positive.
w**(-40)
Simplify (y**(2/3)*y*y**(-4/9)/y)**(-14/5)/((y/(y/((y/y**(-1/4))/y)))**7)**(-26) assuming y is positive.
y**(4039/90)
Simplify (i**(2/17)*i*i*i**(3/4))**39/((i*i**(-2)/i*i**(-2/9)/i)/(i/(i**(-1)/i))**(-1/15)) assuming i is positive.
i**(351473/3060)
Simplify ((v**(-8))**6/(v/v**(-8)*v*v/(v*(v/((v*(v/(v*v/((v/(v/v**8))/v)*v))/v)/v)*v*v)/v*v)))**(-4/31) assuming v is positive.
v**(236/31)
Simplify (v**6/((v/(v/(v/(v**0/v))))/v)*(v*v**(-1)/v)**11)/(v**(-1/3)*v/((((v**(-5)/v)/v)/v)/v))**(-23) assuming v is positive.
v**(649/3)
Simplify ((i/(i*i/(i*i*i**(-2))*i))**(-4/21)*((i*i/(i*i*(i**5*i*i)/i*i))/i)**(-35))**14 assuming i is positive.
i**(11776/3)
Simplify (r*r**(-5)*r*r*r/r**(-3)*r*((r*r**(2/13)*r*r)/r)/r**(-2/7))/((r**(2/5))**38*r**(2/11)*r**(-6)) assuming r is positive.
r**(-19731/5005)
Simplify ((a**(-2/3))**(4/23)*(a*a**(-1)*a)**(-30))/((a**(-4)*a*a)/(a*a**(-2/3)/a*a))**(-1/3) assuming a is positive.
a**(-6395/207)
Simplify ((q**(3/10)*q)/(q**(-1/2)/q*q))**(2/127)*((q**(3/4)*q*q)/q)/q**(3/7)*(q**(2/3))**(-2/21) assuming q is positive.
q**(205831/160020)
Simplify ((c*c**(1/3))**(-4/7)*c*c**(2/11)*c**(-2))/(((c/(c/(c/(c*c**(1/4)))))/c)/(c**4*c))**(-35) assuming c is positive.
c**(-203585/924)
Simplify ((n**(1/3))**(1/3)/(n**(-2/9)/(n/(n/((n/((n/n**(-7))/n*n))/n)))))/(((n/n**(1/6))/n)/n**(-2))**(1/6) assuming n is positive.
n**(-287/36)
Simplify (((b*b**4*b)/b*b**0/b)/(b*b**0*b*b**(-6)))/((b/b**0)/(b*b**(1/3)/b))**13 assuming b is positive.
b**(-2/3)
Simplify (m**(-1/6)/(((m*m**(-21/8))/m)/m))/(m**22/((m*m*m**35*m)/m)) assuming m is positive.
m**(443/24)
Simplify (s**5*s**(-1/5)*(s**0*s)/(s*s/(s/s**0)))/((s/(s/s**(2/5)*s))/s*s**(-1)*s**(-7)/((s/(s/s**1))/s)) assuming s is positive.
s**(72/5)
Simplify ((w**(-2/3))**17)**40*(w*w/w**(2/3)*w)/w**(-1/10)*(w**(-1/4)/w)**(-9/11) assuming w is positive.
w**(-98973/220)
Simplify (b**(-1)/(b**(1/5)*b))/((b/((b**7/b)/b))/b*b*b**(2/13))*(b**(-1)*b)**(-48)*(b**5*b*b)/(b*b**(-1/2)*b) assuming b is positive.
b**(929/130)
Simplify (((n**(-3/5)*n*n)/(n/n**(-3)))/(n*n*n*n**(1/2)/n*n)**(-39))/((n/(n**(-2)*n)*n**(-1/2))/(n**(-1))**(-2/37)) assuming n is positive.
n**(24504/185)
Simplify ((o**0*o)**(-7/8)*o**(2/3)/o**0)/((o*o*o*o**(-1)*o)**(4/3)/((((o/(o**(2/11)/o))/o)/o)/(o/(o*o*((o**(-4/5)*o)/o)/o*o)))) assuming o is positive.
o**(-5531/1320)
Simplify (((u*(u/(u/(u**1*u)*u))/u*u)**(-3/14)*u*u*u**(-1/6)*u*u*u/(u**0/u))**(-1/29))**(-5/11) assuming u is positive.
u**(1135/13398)
Simplify (s**2*s)/(s**(2/5)*s)*s**(5/4)/s**6*(s**(-2/3))**(-15)*s**(2/5)*s*s*s**4 assuming s is positive.
s**(53/4)
Simplify ((k*k**(-3/5))/(k/(k**(-3/5)/k)))/(k**(3/2)/(k**(2/17)*k*k*k*k))*((k/(k*k/(k*k**(1/3))))/k)**(2/15)*k**(2/9)*k/(k**(2/13)/k) assuming k is positive.
k**(15893/6630)
Simplify ((k*k**(-4/9))/(k/((k*k**(4/9))/k)))/(k**9/k*k**(2/17))*((k/k**9)/(k*k**(-6)/k*k*k*k))/(k**(-2))**21 assuming k is positive.
k**(491/17)
Simplify (q**(2/63)/(q/(q/q**(15/8)))*((q**(21/4)/q)/q)/q*q**(-1/14)*q)**(-9) assuming q is positive.
q**(-673/56)
Simplify (((o/(o**(3/5)/o))/o)/(((o**(-6)/o)/o)/o))**(-7/4)*(o*o**2)**(6/11)/(o**(-6)*o**(2/15)) assuming o is positive.
o**(-1181/132)
Simplify (a/(a*a*a**(1/2)))/a*a**(2/7)*a*a*a**(-1)/a*(a*a**(-1/11))/a*a*((a**(-1/2))**(2/15))**(-2/21) assuming a is positive.
a**(-9001/6930)
Simplify ((w**(-1/2)/w*w)**(1/12)/(((w/w**(-3/4)*w)/w)/(w/(w*w*w*(w*w**(-1))/w*w*w)*w)))**20 assuming w is positive.
w**(-455/6)
Simplify ((b*b/(b*b**(3/7))*b*b/(b**(-2)*b)*b*b*b**(3/2)*b**(-4))**(-30))**(-1/5) assuming b is positive.
b**(129/7)
Simplify ((q**(-6)/(q/q**(-3/5)*q))/((q**1/q)/q*q**(-1/4)))/((q/q**5*q*(q/(q**(-2/3)/q))/q)/((q/(q*q**(-1/2)))/((q/q**4)/q*q*q))) assuming q is positive.
q**(-211/60)
Simplify ((v/(v/(v**(-1)*v))*v)**(-9)*(v*v*v**(-30))/(v**(-9/2)/v))**(2/69) assuming v is positive.
v**(-21/23)
Simplify ((p**14/p*p/((p/(p**(-2/11)*p)*p)/p)*p**(-14)*p**13)**(-3))**(-4/15) assuming p is positive.
p**(564/55)
Simplify (((r*r*r**6*r**0)**49)**(-12/5))**(-13) assuming r is positive.
r**(61152/5)
Simplify w**45*w*w**(-3/8)*w/(w**2*w)*w**36 assuming w is positive.
w**(637/8)
Simplify ((f**0)**(-22)/(f**(-1))**36)/(f**(-1/10)*f*f/(f/f**(2/5))*(((f/f**(1/2))/f)/f)**(-8/7)) assuming f is positive.
f**(2309/70)
Simplify (l*l*l**(4/7))/l**(-1/3)*l*l/l**(-1/7)*l*(l/l**5)/l*(l**(-1)*l**(-4))**(1/10) assuming l is positive.
l**(23/42)
Simplify (((u*u*u*((u/(u**(-2/11)/u))/u)/u*u)/u**(1/3))/(u**(1/3)/u)**(-35))/((u/(u/(u*u*u*u/u**(2/9)*u*u))*u)**(8/9))**20 assuming u is positive.
u**(-124721/891)
Simplify ((d/(d/d**(-2/9)))/(d/(d**(-3)/d))*d**(-4)/d*d*d**(8/7))/((d*d/((d/d**(-1/5))/d)*d**(-2/5))/((d/(d*d**(2/13)*d))/(d**(-3)/d))) assuming d is positive.
d**(-27163/4095)
Simplify (o**33)**(-2/7)/(o*o**(-6/25)/o)**(2/39) assuming o is positive.
o**(-21422/2275)
Simplify ((g**(-6)/g*(g*g*g**(2/7)/g*g)/g)/(g**(2/7)/g*g**(-7)))/((g**(-1/2))**(-1/9))**(2/101) assuming g is positive.
g**(1817/909)
Simplify ((o*o/(o/o**8))/o*o*o**1)**(-1/49)*o**(-3/2)*o/(o**7*o)*o/((o/(o*o**5*o*o)*o)/o)*o/((o*o**(4/9))/o)*o*o assuming o is positive.
o**(1633/882)
Simplify (x**(1/6)/(x/(x/(x*x**(-2/13)))))**(-45)*(x**2*x**(-1/8))/((x*x**7*x)/x**(-5/3)) assuming x is positive.
x**(6797/312)
Simplify ((b/b**0)/(b/(b/((b*b*b/(b/b**6*b))/b)*b)))**(-1/23)*((b**(-5/2)*b*b)/(b/b**(-12)))**50 assuming b is positive.
b**(-15521/23)
Simplify (l**(1/5)*l/l**3*l/(l*l**4*l)*l**(-4))/((l*(l/l**(-2/17))/l*l*l/(l/(l/(l/l**(-2))*l))*l*l*l)/(l**(-2)/(l/l**(-1/6)))) assuming l is positive.
l**(-9223/510)
Simplify ((g*g*g**(-3/26))**(1/8)*(g/(g/g**(-10
|
{
"pile_set_name": "DM Mathematics"
}
|
**(-7))**(3/2)*(o**(2/3)*o)**(-8/9)*(o*o/(o/(o**(-1/3)*o)))**(11/2) assuming o is positive.
o**(2374/135)
Simplify (h**2/((h*h/((h/h**3*h)/h*h))/h)*(h*h**(1/4)*h)/(h*h*h*h/((h**2/h)/h)*h*h))/(((h*h**(-3/5))/(h*h**6*h))/((h**7/h)/h*h**(-5)/h)) assuming h is positive.
h**(57/20)
Simplify (p/(p**(-1/2)/p))**(-29/4)*(p*p**(-1/3))/(p/p**5)*((p**(-2/3))**(-14/5))**(6/11) assuming p is positive.
p**(-16421/1320)
Simplify ((((j**(-7)*j*j*j)/j)/(j**(-1)/j))/(j*j*j**4*j/j**(3/2)))/(((j**(-1)/j)/j)**(6/7)*j**6/j**(1/2)) assuming j is positive.
j**(-80/7)
Simplify ((i*i/((i/(i/(i*i**(1/13)*i))*i)/i))/i**(-2/25)*i**26*i**(1/3)*i)**(24/11) assuming i is positive.
i**(19384/325)
Simplify ((((b/b**(-26/3))/b)/(b/(b*b/(b/(b*b*b**(-2/29))*b*b))))/((b**11*b)/b*b)**34)**(-15/2) assuming b is positive.
b**(86870/29)
Simplify ((a**7/a)/a**(5/4))**(3/14)*(a**(-3/8)/a*a)/a**6*(a*(a**(-1)/a)/a*a)**(-8/15) assuming a is positive.
a**(-1013/210)
Simplify ((u**(-3/4)/u*u*u**(-1)/u*u*u)/((u*u**(-4)/u)/(u*u/u**6)))/((u*u*u**1*u)**(-1/21))**(-30) assuming u is positive.
u**(-181/28)
Simplify (o/(o**(-1/4)/o)*o)/(o**(-7)/o)*((o/o**0*o)/o)/(o**(-6)*o*o)*(o**2)**(2/7)/(o**(2/23)*o**5) assuming o is positive.
o**(7557/644)
Simplify (y**(2/5))**(-20)*(y*y**(1/2)*y*y*y)**(47/2)*(y/(y*(y*(y*(y*y/(y*y**(1/3)))/y)/y)/y)*y)**(1/37)/(y*y/(y**(1/2)*y)*y*y**(-6)) assuming y is positive.
y**(45415/444)
Simplify (m**(-1/4)*m)**(-30)*(m**2*m*m)/m*m/(m/((m*m**(3/4)*m)/m))*((((((m*m**(-5/3))/m)/m)/m)/m)/m**(-1))/(m**(5/2)/m**(-1/7)) assuming m is positive.
m**(-2021/84)
Simplify ((((y**(-14))**(-3/5))**(-31))**(2/15))**(-33) assuming y is positive.
y**(28644/25)
Simplify ((u/(u**(-17)*u)*u**(-20/11)*u)/(u**15*u*u/(u**(-22/9)/u)))**(-4/9) assuming u is positive.
u**(1688/891)
Simplify (((((x/(x**(-1/6)*x))/x)/x)/x)/x)/(x/x**(1/7)*x)*x**(-2/5)/(x*x**4)*(x**(-1/3)*x)**(4/15)*x**6*x**(-2/3) assuming x is positive.
x**(-703/126)
Simplify (b**(-2/5))**(21/2)*b**(-7)/b**0*(b**2/b**1)/(b**1/b*b**(-4)) assuming b is positive.
b**(-31/5)
Simplify (d**(-4)*(d**5*d)/d)**(23/2)*((d**(3/11)/d)/(d/(d**(-3)*d*d)*d))/((d*d**4/d)/(d*d**(-8))) assuming d is positive.
d**(-71/22)
Simplify ((g*(g/g**(-2/3)*g)/g*g)**6)**(-2/89)*(g**(-4)/((g/g**(3/2))/g))**(17/6) assuming g is positive.
g**(-8093/1068)
Simplify (h**(-4/7)/(h*h*h**(1/3)))**(-4/23)/(((h/(h/(h**(1/3)*h)))/h)**(-4/7))**(11/7) assuming h is positive.
h**(2720/3381)
Simplify (((u**(-2)/u**(-1/8))**(1/47))**(-22/9))**11 assuming u is positive.
u**(605/564)
Simplify ((m**(-1/6)*m**(-1/4))/(m**(-2/3))**(2/23))/(m**(-1/5)*m*m**(-4/7)*m*m)**(1/23) assuming m is positive.
m**(-1467/3220)
Simplify (b*b*(((b*b*b*b**(-2/83))/b)/b*b)/b*b*(b*b**22)/b*b*((b**26/b)/b)**(-3/7))**(-40) assuming b is positive.
b**(-387880/581)
Simplify ((t*t**(-1)/t)/t)**(-3/16)/((t/t**(-2/13)*t)/t*t*t**(2/7))*(t**6*t**(3/2))/(t**2/(t*t**5)) assuming t is positive.
t**(6869/728)
Simplify (((o/(o**(2/5)*o))**(-47)/(o**(-1/8)*(o*o*o**(-11)*o)/o))**(2/25))**19 assuming o is positive.
o**(21223/500)
Simplify (k*k**(-5/4)*k**(-8)*((k**(5/4)*k)/k)/(k/(k/((k/k**(-4)*k)/k))*k))/(k**(-2)*k*k*k**(2/7)*(k*k**(-1)*k)**(-1/36)) assuming k is positive.
k**(-3341/252)
Simplify (u*u/(u*u**2*u))/(u/(u**(-1/3)/u))*u**0/u**(-6)*(u**(-4/9)/u**(1/4))/(u*u**(2/5)*u)**(-8/3) assuming u is positive.
u**(1327/180)
Simplify ((h**(-15)/((h*h**(-1/18))/h*h))/(h*h**(-1/12)/h)**(2/3))**(-33) assuming h is positive.
h**(1573/3)
Simplify (t**(-17)/(t**(-1/4)/t)*(t**(-2/19))**(-11/6))**(-16) assuming t is positive.
t**(14188/57)
Simplify (y*(y**(-5)*y)/y*y*y*y/(y*y**(-4/5)))**41/(((y/(y/(y**(2/3)*y)))/(y/((y*y**4)/y)*y))/(y*y*y**1)**(-13/5)) assuming y is positive.
y**(-182/3)
Simplify (v**(-4/7)/(v**(-1/8)*v))/(v/v**(2/11)*v**(2/21))*(v*v/v**(-1)*v)**35*v**(-1)*v/v**4*v assuming v is positive.
v**(35545/264)
Simplify (s**(1/25)/s**(-36)*s**25/((s**(-1/19)*s)/s))**(2/17) assuming s is positive.
s**(3414/475)
Simplify (((j**(-5/4)*j)/j*j)/(j**(-2/11)/j)*(j/j**(-3/4))/j*j*j**(-7))/((j**1)**40*(j/((j*j/j**7)/j))/j*j/(j/(j/j**(-3/2)))) assuming j is positive.
j**(-581/11)
Simplify (p**5/p**(4/9)*(p/(p/(((p**(-1/2)*p)/p)/p)))**(-12/7))/((p*p*p**(2/13)*p/(p/(p**(2/17)*p)))/((p**1/p)/p*p**(-1)*p)) assuming p is positive.
p**(39757/13923)
Simplify ((c/(c/c**(2/5)))**(5/7))**29/(c**1/c**(-5))**(1/16) assuming c is positive.
c**(443/56)
Simplify ((n*n*(n/(n*n/n**5*n)*n)/n)**(6/19)/(n/(n/n**(-2/23)))**(-33))**(3/17) assuming n is positive.
n**(-1692/7429)
Simplify ((z**(-5/3)*z)/z*z*z*z**(-7)*z*z**(-2/11)/(z/z**(3/20)))**(-21) assuming z is positive.
z**(30947/220)
Simplify (x**(9/2))**(1/19)/(x*(x/(x**(-11/4)*x*x)*x)/x)**(1/34) assuming x is positive.
x**(403/2584)
Simplify ((v*v**(4/9)*v)/((v/(v*(((v**3*v)/v)/v*v)/v))/v))**33*(v/(v**8*v)*v*v**(-1/13)*v)/((v**(-1)*v)/v)**(-9/5) assuming v is positive.
v**(33499/195)
Simplify (m/(m/m**3)*m*m**(-1/9))/(m*m**(2/7))**6*m**(1/4)*m**2*((m/(m**3/m))/m)/((m*m*m**6)/m) assuming m is positive.
m**(-2665/252)
Simplify (((o**(-2)/o**(-3))/(o**(1/4)/o*o*o*o)**(-32/7))**4)**27 assuming o is positive.
o**(8532/7)
Simplify ((r/(r/r**3))**(-3)*r/((r/(r*r**(7/8)))/r)*r**11/r)**(2/49) assuming r is positive.
r**(31/196)
Simplify (m/m**(-1/38))/(m/m**(-3/14))*(m/(m**(-31)/m*m))**(1/9) assuming m is positive.
m**(4031/1197)
Simplify (b/b**(-3/4))**7/(b**(-4/11)*b**25) assuming b is positive.
b**(-545/44)
Simplify (((v**(-2/5)*v*v/(((v/v**(-5))/v)/v*v))/(v**0/(v*(v/v**(1/3))/v)))**(-36))**(-1/6) assuming v is positive.
v**(-82/5)
Simplify (v**4*v**(1/4))/(v**1)**(-12)*((v/v**(2/9))**(-17))**(9/13) assuming v is positive.
v**(369/52)
Simplify ((j/j**(-7))/(j/(j/((j**(8/9)*j)/j)))*(j*j**(1/14))/j*j**(-2/9)/j)**(-4) assuming j is positive.
j**(-1502/63)
Simplify (t**25*t**(-8/7)*t*t*t)/(t**(-1/11)*t*t)**(-5) assuming t is positive.
t**(2803/77)
Simplify ((n**(-10)/(n*n**(-3)*n*n))/(n**27*n**(1/5)))**11 assuming n is positive.
n**(-2046/5)
Simplify z/z**(-2/3)*z**1/z*z*z*z*z**(1/2)*z**6*((z**5)**(-1/8))**(-1/8) assuming z is positive.
z**(2159/192)
Simplify ((y**(-4)/y)/((y**4/y)/y*y))/(y**0*y**(1/6))*((y*y*y**5)/y*y**0)/(y**(-1)*y)**14 assuming y is positive.
y**(-13/6)
Simplify (s/(s*(s/s**(5/2))/s)*(s/(s/(s*s**(-2))))/s)**(-48)/(((s/(s*(s**(1/9)*s)/s)*s)/s*s*s*s*s**(1/3))/(s**(-3/2)/(s**(-3/4)*s))) assuming s is positive.
s**(-1043/36)
Simplify ((((n**(6/7)/n)/(n*n*n*n**(-6/11)*n*n*n))/(n**(-9)*n/n**7*n))**(-6))**(-18) assuming n is positive.
n**(69876/77)
Simplify ((y**(-1))**38*(y**(-7)*y*y)/y**0)/(y**(-1/6)/(y/(y*y**(-4)*y)*y))**(-1/15) assuming y is positive.
y**(-779/18)
Simplify (f**(-2)/(f/(f**(3/11)/f)*f))**(-2/49)/(f*((f**(1/4)*f*f*f)/f)/f*f*f**8/f*(f/(f*f/(f*f/f**(-2))))/f*f*f*f/(((f*f**3)/f)/f)) assuming f is positive.
f**(-28151/2156)
Simplify (f**(2/11)*f*f**(-1/3))**(2/15)/((f/((((f/(f**(2/7)*f))/f*f)/f)/f)*f/(f*f/f**(-2/9)*f))/(f**1)**(-36)) assuming f is positive.
f**(-128033/3465)
Simplify ((((p*p*p/(p*p/((p/(p*p/p**28))/p)*p)*p)/p)/p*p)/(p/p**(-1/24)))/(p**41)**(6/19) assuming p is positive.
p**(5477/456)
Simplify ((o**(3/44)/o)/o)/o*o*o**(-5/6)*(o/((o/(o/(o**14/o)))/o)*o*o)/o**7 assuming o is positive.
o**(-2477/132)
Simplify ((((w/w**(1/3))/w**4)/(w**(1/3))**22)**(-34))**(-8) assuming w is positive.
w**(-8704/3)
Simplify ((x**(2/3))**0)**(-1/28)*(x*(x/x**(1/2)*x)/x*x*x)**16/(x**7/x**(-2)) assuming x is positive.
x**47
Simplify ((y**9*y**(-7)*y*y**7*y**(3/8))**(-1/62))**(1/21) assuming y is positive.
y**(-83/10416)
Simplify ((l*l**1)/l)**(-2/7)*l**1/((l*l**6)/l)*((l*l**(-4))/l**0)/(l*l**(2/15)/l*l/l**(4/9)*l) assuming l is positive.
l**(-3142/315)
Simplify (r*r**(1/2)*r)**28/(r*r*r**1)**(-35)*(r/(r*r**1/r))**4*r*((r*r/r**9*r)/r)/r*r*r*r/r**(-6/5)*r assuming r is positive.
r**(866/5)
Simplify (v/v**(1/12)*v*v/v**5*v*(v**9/v)/(v/v**(-1)*v))**(-35) assuming v is positive.
v**(-1645/12)
Simplify (((t**(-3/2)*t)**2*(t/(t*t**(-2)*t))/(t/(t/(t*t*t/(t*t**1)))))**(-3/5))**44 assuming t is positive.
t**(132/5)
Simplify ((z**(1/4))**(-3/17))**20/(z**(2/3)*z**(-2)*z**(-4/5)/z**(-3)) assuming z is positive.
z**(-446/255)
Simplify (t**(-1/2))**(-2/5)/(t**(-2/3))**17*(t**(1/4)*t/(t*t**6))**(1/5) assuming t is positive.
t**(623/60)
Simplify (q**(-3)/(q/q**30*q*q*q)*(q/q**(-25))/q**(3/11))**(3
|
{
"pile_set_name": "DM Mathematics"
}
|
i(n(m))?
4*m**2 - 59
Let y(c) be the first derivative of -5*c**2/2 + 15. Let t(p) = -p**2. What is y(t(g))?
5*g**2
Suppose -5 = -2*m - 1. Let y(t) = 2*t**2 - t**m - 3*t**2. Let w(s) = -s + 8*s - 3*s. What is y(w(j))?
-32*j**2
Let p(z) be the third derivative of z**4/12 - 4*z**2. Suppose 0 = 3*x - 5 - 1. Let l(h) = 0*h - x*h + 6*h - h. Determine l(p(o)).
6*o
Let t(r) be the second derivative of r**3/2 - 5*r. Let n(j) = -j**2. What is n(t(k))?
-9*k**2
Let n(m) = -5*m**2 - 9*m - 101. Let c(g) = g**2 + 2*g + 25. Let w(o) = -9*c(o) - 2*n(o). Let z(p) = 3*p. What is w(z(j))?
9*j**2 - 23
Let t(k) = 2*k**2. Let u(z) = 878*z. Determine u(t(j)).
1756*j**2
Let b(y) = 4*y. Let o(i) = 1367*i - 1367*i + 3*i**2. Calculate b(o(k)).
12*k**2
Suppose 3*c + 5*c - 16 = 0. Let j(v) be the third derivative of 0*v + 0*v**3 + 1/24*v**4 - c*v**2 + 0. Let p(h) = -h**2. Determine p(j(l)).
-l**2
Let s(p) be the first derivative of 3*p**2/2 + 1. Let z(d) be the second derivative of d**4/6 - 2*d. What is s(z(m))?
6*m**2
Let q(x) = -x + 7. Let r(z) = z - 6. Let k(o) = -6*q(o) - 7*r(o). Let a(y) = -y**2. Determine k(a(l)).
l**2
Let r(z) = -z. Let b(l) be the second derivative of 11*l**3/6 + 9*l. Determine b(r(q)).
-11*q
Let b(z) = -z**2. Let y(d) = -19*d + 1. Let q(h) = 1. Let c(v) = q(v) - y(v). Calculate c(b(i)).
-19*i**2
Let r(p) = 2*p. Let j(q) be the second derivative of 0 + 0*q**2 - q - 1/12*q**4 + 0*q**3. What is r(j(v))?
-2*v**2
Let v(b) be the first derivative of 4*b**3 - 2. Let i(l) = l**2. Calculate v(i(z)).
12*z**4
Let g(u) = -423*u**2. Let w(q) = 31*q. Calculate w(g(v)).
-13113*v**2
Let n(u) = 11*u. Let w(l) be the third derivative of l**5/20 - 10*l**2. Determine w(n(g)).
363*g**2
Let h(r) = -4*r. Let k(v) = 9*v. Let i(l) = -13*h(l) - 6*k(l). Let g(o) be the second derivative of 0 - 5/6*o**3 + 0*o**2 - 3*o. Give i(g(c)).
10*c
Let q(i) = -2*i**2. Let y(v) = 49*v - 56*v + 37*v. What is y(q(x))?
-60*x**2
Let f(k) be the third derivative of k**5/60 - k**2. Let q(i) = -11*i. Determine q(f(c)).
-11*c**2
Let t(v) be the third derivative of -v**5/60 - v**2. Let j(z) be the third derivative of 0*z**3 + 1/12*z**4 + 0*z + 3*z**2 + 0. What is j(t(x))?
-2*x**2
Let b(u) = -u. Suppose 2*s = 7*s. Let f(y) = -3*y + y + s*y. Give f(b(h)).
2*h
Let m(a) be the first derivative of -1 + 0*a - 1/2*a**2. Let b(q) = -2*q. Give b(m(d)).
2*d
Let y(w) be the second derivative of -w**4/12 - 28*w + 2. Let z(m) = 16*m. Determine y(z(v)).
-256*v**2
Suppose 2*d - 2*x - 3 = -5, 0 = 5*d + x - 19. Let n(w) = -w + d*w - 5*w. Let t(i) be the second derivative of i**3/6 - 3*i. What is t(n(g))?
-3*g
Let i(m) = -26*m + 18*m + 9*m. Let p(w) = 3*w. Calculate i(p(z)).
3*z
Suppose -6*x + 15 = -x. Let h(m) = -4*m - x*m**2 + 4*m. Let v(j) be the third derivative of j**5/30 + 7*j**2. What is h(v(w))?
-12*w**4
Let m(c) = c**2. Let w(j) = 55*j**2 - 44*j - 44. Let n(x) = 6*x**2 - 5*x - 5. Let i(s) = 44*n(s) - 5*w(s). What is m(i(k))?
121*k**4
Let c(a) = 3*a - 64. Let s(r) = -2*r**2. Determine s(c(p)).
-18*p**2 + 768*p - 8192
Let x be 0*1/(-4)*-1. Let b(l) = 3 + x - 3 - l. Let m(a) = -a**2. Give b(m(k)).
k**2
Let v(a) = a**2. Let x(g) = -15*g**2 - 4*g + 4*g. What is x(v(l))?
-15*l**4
Let p(i) = -2*i**2 - 14*i + 3. Let v(d) = -4*d**2 - 27*d + 7. Let f(q) = -7*p(q) + 3*v(q). Let w(k) = -k**2. Calculate f(w(c)).
2*c**4 - 17*c**2
Let p(t) = 0*t - 6*t + 10*t. Let w(r) = 6*r. Give p(w(o)).
24*o
Let n(j) be the third derivative of j**4/24 + 7*j**2. Let u(l) = -4*l. Determine u(n(s)).
-4*s
Let c(i) = -237*i**2. Let r(n) = -n. What is c(r(b))?
-237*b**2
Let w = -3 - -2. Let g be (-3)/(0 + w) + -1. Let t(m) = -g*m + 0*m + m. Let p(o) = -3*o**2. Calculate p(t(y)).
-3*y**2
Let f(a) = -2*a**2 + a + 1. Let n(c) = c**2 - c - 1. Let q(s) = -2*f(s) - 2*n(s). Let x(h) be the first derivative of 6*h**2 - 1. What is x(q(b))?
24*b**2
Let v(w) = w**2. Let i(g) be the second derivative of g**3 - 3*g. Give i(v(y)).
6*y**2
Let t(o) = 13*o**2 + 6*o**2 - 16*o**2. Let v(g) be the third derivative of g**4/6 + g**2. Determine t(v(b)).
48*b**2
Let s(q) = -42*q**2 - 2. Let n(d) = -32*d**2. Calculate s(n(y)).
-43008*y**4 - 2
Let y(g) = -2*g. Let u(b) = 34*b**2 - b - 4. Calculate y(u(s)).
-68*s**2 + 2*s + 8
Let u = 6 + -2. Suppose -2*v + u*o = 0, 0 = -4*v - 2*o + 6 + 4. Let y(b) = 4*b + 0*b - v*b - 3*b. Let j(w) = w. Calculate j(y(k)).
-k
Let i(q) = -q**2 + 5*q + 8. Let n be i(6). Let m be 4/(-18) + (-20)/(-9). Let w(b) = -b - m + n. Let f(d) = 2*d. Give w(f(k)).
-2*k
Let c(j) = -9*j**2. Let a = -10 + 11. Let l(r) = -1 - 7*r**2 + a + 9*r**2. Determine l(c(y)).
162*y**4
Let c(i) = -10*i**2. Let w(f) = -f**3 - 7*f**2 + 7*f - 5. Let s be w(-8). Let b(u) = 2*u - s + 0 + 3. Give c(b(a)).
-40*a**2
Let k(d) = 6*d. Let y(n) = -43*n. Calculate y(k(q)).
-258*q
Let x(z) = z. Let n(a) be the first derivative of 0*a**3 - 1/6*a**4 - a + 0*a**2 - 3. Let v(p) be the first derivative of n(p). Determine v(x(f)).
-2*f**2
Let a(o) = o. Suppose 3*q + 2*m - 5*m = 3, 0 = 5*q + 4*m - 41. Let n(r) = -q + 5 + r. Determine a(n(w)).
w
Let g(r) = -r**2 - 5*r. Let i(d) = 2*d**2 + 8*d. Let o(x) = -8*g(x) - 5*i(x). Let q(c) = 47*c. What is q(o(h))?
-94*h**2
Let t(x) = -1 + 8*x - 2 + 2*x + 9. Let i(v) = 9*v + 5. Let w(m) = -6*i(m) + 5*t(m). Let b(a) = -a. Determine b(w(d)).
4*d
Let l(b) be the second derivative of -2*b**3/3 - 19*b. Let r(a) = 3*a**2. What is l(r(f))?
-12*f**2
Let n(h) be the first derivative of h**2 + 1. Let t(k) be the third derivative of k**4/24 - 3*k**2. Determine t(n(o)).
2*o
Let v(n) = -5*n**2 - 13*n**2 + 16*n**2. Let j(s) = 7*s. Calculate j(v(q)).
-14*q**2
Let r(q) = -q**2. Let w(v) be the first derivative of 5/3*v**3 + 0*v**2 - 1 + 0*v. Give r(w(f)).
-25*f**4
Let p(u) = 87*u. Let y(q) = 3*q. What is p(y(f))?
261*f
Let g(q) be the third derivative of 13*q**4/24 + 5*q**2. Let o(j) = -2*j. Let d(a) = -2*g(a) - 14*o(a). Let s(h) = 2*h. What is d(s(m))?
4*m
Let x(m) = m. Let w(o) = 46*o**2 - 3*o. Calculate w(x(t)).
46*t**2 - 3*t
Let m(w) = -w**2. Let r(c) = -5*c**2 + 3*c + 3. Let v(f) = 26*f**2 - 16*f - 16. Let t(x) = 16*r(x) + 3*v(x). Give m(t(a)).
-4*a**4
Let r(u) be the second derivative of u**5/60 + u**3 + 7*u. Let w(x) be the second derivative of r(x). Let n(v) = -2*v. Determine w(n(k)).
-4*k
Let j(w) = -2*w**2. Let k(o) = -8*o**2 - 168. Give j(k(t)).
-128*t**4 - 5376*t**2 - 56448
Let a(v) = -5*v**2. Let n(m) = -m + 6*m - 3*m - m. Give n(a(i)).
-5*i**2
Let x(i) = -147*i**2. Let j(y) = 11*y**2. Give j(x(l)).
237699*l**4
Let n(r) be the second derivative of 8*r**3/3 + 2*r. Let b(k) = -2*k. Give b(n(x)).
-32*x
Let h(r) = -35*r + 68*r - r**2 - 33*r. Let d(q) = q - 6. What is d(h(c))?
-c**2 - 6
Let b(h) be the first derivative of -5*h**3/3 - 1. Let f(x) = -3*x + 2*x + x + 2*x**2. Calculate f(b(z)).
50*z**4
Let w(s) = 6*s + 7. Let y(i) = -i - 1. Let u(l) = -5*w(l) - 35*y(l). Let z(d) = 4*d. Give z(u(t)).
20*t
Let s(u) = 2*u. Let o(k) = -2*k**2 - 3. Let v(l) = l**2 + 2. Let t(m) = -4*o(m) - 6*v(m). What is t(s(b))?
8*b**2
Let l(c) = -3 + 0*c + 2 - 4*c + 5. Let b(n) = -n**2. Determine l(b(s)).
4*s**2 + 4
Let z(r) = 17*r**2 - 11*r - 11. Suppose 0 = 4*h + 50 - 6. Let d(j) = -6*j**2 + 4*j + 4. Let k(i) = h*d(i) - 4*z(i). Let u(a) = -5*a. Determine u(k(n)).
10*n**2
Let w(s) = -s**2 - s - 1. Let j(o) = -o - 1. Let c(i) = -j(i) + w(i). Let d(m) = -33*m**2. Calculate d(c(g)).
-33*g**4
Let t(d) = -3*d - 5*d + 9*d. Let v(o) = -5*o**2. Give t(v(l)).
-5*l**2
Let f(l) = l - 3. Let u be 4/2 + (-4)/(-2). Let j be f(u). Let k(m) = -j - m + 0*m + 1. Let w(v) = -v**2. Determine k(w(t)).
t**2
Let b(z) = 82*z. Let o(w) = 71*w. What is b(o(v))?
5822*v
Let x(h) = -2*h**2. Let v(p) = -13*p + 19*p - 24*p. Give v(x(y)).
36*y**2
Let j(t) = t**2. Let y(o) = 2. Let m(u) = -7*u + 2. Let f(c) = -m(c) + y(c). Calculate f(j(z)).
7*z**2
Let o(g) = 1379 - 4*g**2 - 1379. Let y(r) be the third derivative of r**4/12 - 2*r**2. Give y(o(f)).
-8*f**2
Let k(u) = -817*u. Let y(n) = -4*n**2. What is k(y(r))?
3268*r**2
Let g(u) = -16*u**2 + 11. Let f(d) = -3*d**2 + 2. Let s(t) = 22*f(t) - 4*g(t). Let p(o) = 2*o - 26. Give p(s(n)).
-4*n**2 - 26
Let g(w) = -w**2. Let h(p) = 15*p**2 + 3*p. Let v(y) = -164*y**2 - 32*y. Let o(s) = 32*h(s) + 3*v(s). Determine o(g(n)).
-12*n**4
Let y(o) = o**2. Let m(w) = 8
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{
"pile_set_name": "DM Mathematics"
}
|
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