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stringlengths 2.35k
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| meta
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|---|---|
0
What is 2215775 rounded to the nearest 10000?
2220000
What is -1.8784661 rounded to 3 dps?
-1.878
Round 25192300 to the nearest 1000000.
25000000
What is 110401.74 rounded to the nearest 100?
110400
Round 0.000154142 to 7 dps.
0.0001541
Round -0.137007 to one decimal place.
-0.1
What is 467503 rounded to the nearest one million?
0
What is -0.00000133384 rounded to 6 decimal places?
-0.000001
What is 0.02012546 rounded to three decimal places?
0.02
What is -8878995 rounded to the nearest 100000?
-8900000
What is 0.00002524109 rounded to five dps?
0.00003
What is -5281700 rounded to the nearest 1000000?
-5000000
What is 6332080 rounded to the nearest one hundred thousand?
6300000
Round -42.389 to the nearest ten.
-40
What is -0.0013362 rounded to 4 decimal places?
-0.0013
Round -2384.39 to the nearest 10.
-2380
What is 115.326 rounded to the nearest 10?
120
Round 0.1068376 to three decimal places.
0.107
What is 4478.425 rounded to the nearest integer?
4478
Round -0.00036259565 to 5 dps.
-0.00036
Round 371687 to the nearest 1000.
372000
Round 0.00000257553 to 7 dps.
0.0000026
Round 2236000 to the nearest 100000.
2200000
Round 0.000373829 to five dps.
0.00037
Round -0.883923 to three decimal places.
-0.884
What is 7401.064 rounded to the nearest one hundred?
7400
What is -0.00001092909 rounded to 7 decimal places?
-0.0000109
Round -0.43745652 to two decimal places.
-0.44
Round 123527670 to the nearest 1000000.
124000000
What is -42326.31 rounded to the nearest 100?
-42300
Round -0.0001466262 to six decimal places.
-0.000147
Round -0.0000010170001 to seven dps.
-0.000001
Round -0.0000275131 to 7 dps.
-0.0000275
What is -0.0000306736 rounded to 7 dps?
-0.0000307
What is -21099.95 rounded to the nearest 10?
-21100
What is 0.00002895532 rounded to 6 dps?
0.000029
Round 1270.5 to the nearest ten thousand.
0
Round 838620 to the nearest 100000.
800000
What is 0.00000262484 rounded to seven decimal places?
0.0000026
Round 0.000131397 to four decimal places.
0.0001
What is 0.395065 rounded to 2 decimal places?
0.4
Round -1700.4242 to the nearest 100.
-1700
What is -0.642484 rounded to 3 dps?
-0.642
Round -6494.195 to the nearest one thousand.
-6000
Round 4849.51 to the nearest 10.
4850
What is 11228266 rounded to the nearest one thousand?
11228000
Round 0.020739579 to 3 decimal places.
0.021
What is 18.78363 rounded to the nearest integer?
19
Round -0.03404859 to 3 decimal places.
-0.034
Round 0.000001292305 to 7 decimal places.
0.0000013
Round 1620638 to the nearest 100000.
1600000
Round 107461.2 to the nearest 1000.
107000
What is 16.4585 rounded to one dp?
16.5
What is -0.06814042 rounded to three decimal places?
-0.068
What is 2239.463 rounded to the nearest 100?
2200
What is 369.302 rounded to the nearest 10?
370
Round -0.000000629775 to seven decimal places.
-0.0000006
What is 4.613713 rounded to 3 dps?
4.614
Round 0.13726 to two decimal places.
0.14
What is 2075330 rounded to the nearest 1000000?
2000000
Round 0.0000014312606 to seven decimal places.
0.0000014
Round 0.00012270641 to seven decimal places.
0.0001227
What is 1156975 rounded to the nearest 100000?
1200000
Round 460224 to the nearest one hundred thousand.
500000
Round 0.000710351 to 6 dps.
0.00071
Round -4426320 to the nearest one million.
-4000000
What is 0.0004194744 rounded to 5 decimal places?
0.00042
Round -8893.62 to the nearest 10.
-8890
What is -0.0090094 rounded to 5 dps?
-0.00901
Round 95994.2 to the nearest one hundred.
96000
Round 0.12464645 to 5 dps.
0.12465
What is -1.4679279 rounded to one decimal place?
-1.5
Round -132064 to the nearest 10000.
-130000
Round -19600436 to the nearest 1000.
-19600000
Round -0.000002611725 to 7 decimal places.
-0.0000026
What is -315.61882 rounded to one decimal place?
-315.6
What is -0.00571534 rounded to 5 dps?
-0.00572
Round -121.73349 to zero decimal places.
-122
Round -3516891 to the nearest 1000.
-3517000
Round 0.00002492068 to 7 dps.
0.0000249
Round -901741 to the nearest one thousand.
-902000
Round 0.1411119 to four dps.
0.1411
What is -3305.7113 rounded to the nearest integer?
-3306
Round -9353.0924 to the nearest 10.
-9350
Round -0.1330358 to 5 decimal places.
-0.13304
What is 67251800 rounded to the nearest 1000000?
67000000
Round 0.0954605 to 3 decimal places.
0.095
What is -0.00555301 rounded to 4 decimal places?
-0.0056
What is 0.00000047451 rounded to 6 dps?
0
What is 11188.6 rounded to the nearest 1000?
11000
Round -784.886 to the nearest 100.
-800
Round 0.0002251191 to 5 decimal places.
0.00023
Round 8.0114068 to 1 decimal place.
8
Round 64962.3 to the nearest 1000.
65000
Round 95.41445 to the nearest 10.
100
What is 197347100 rounded to the nearest one hundred thousand?
197300000
What is -3.55443 rounded to two decimal places?
-3.55
What is -30953300 rounded to the nearest 1000000?
-31000000
Round -91.34282 to 0 dps.
-91
Round 17.29198 to 1 dp.
17.3
What is 172510 rounded to the nearest 10000?
170000
What is -15.8393 rounded to 1 dp?
-15.8
Round 0.000039976 to seven decimal places.
0.00004
What is 0.0035595 rounded to six dps?
0.00356
What is 39105600 rounded to the nearest 100000?
39100000
What is -0.40784237 rounded to 3 decimal places?
-0.408
Round -1188.6485 to 1 decimal place.
-1188.6
What is 19.491427 rounded to 1 decimal place?
19.5
Round -0.000229105 to six dps.
-0.000229
What is -39238.095 rounded to the nearest one thousand?
-39000
What is 67743.56 rounded to the nearest one hundred?
67700
What is -0.00010647 rounded to five dps?
-0.00011
What is 0.00005927554 rounded to six decimal places?
0.000059
What is -0.000007718765 rounded to 7 decimal places?
-0.0000077
Round -0.011946006 to 5 decimal places.
-0.01195
Round 0.0000001965618 to seven dps.
0.0000002
What is -675.395 rounded to the nearest 100?
-700
What is -145523.65 rounded to the nearest 100?
-145500
Round -0.0002649903 to 6 decimal places.
-0.000265
What is -76812800 rounded to the nearest one hundred thousand?
-76800000
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
= -t - x, t = 4*g + 11 for g.
-3
Suppose 0 = -10*a - a + 33. Solve 8 = 4*o + 24, -22 = -5*c + a*o for c.
2
Let d be 4/(-14) + (-23)/(-7). Let y be 0/(-1 + -2) - -1. Suppose 0 = -4*i + 19 + y. Solve -d*x - x = -q + 24, -i*x = 4*q + 9 for q.
4
Let v = 26 - 18. Solve 0 = t + 3*p + 12, p + v = -p for t.
0
Suppose 5*g = s - 17, -2*g = 1 + 3. Solve 2*x - 5*i + s = 0, 3*x - 1 = i - 5 for x.
-1
Suppose -30 = -2*f + 4*s, 3*f + 3*s = 2*f - 5. Solve 0 = -3*u - 9, u - 10 = 5*c + f for c.
-4
Let u be (1/2)/(2/12). Let d = u - -3. Let a be (6 - 12)*(-2)/d. Solve 8 = a*x + 4*h + 22, 0 = -5*h - 10 for x.
-3
Suppose a - 16 = -4*l, 3*a - 12 = -0*a. Solve k + k + 4*c = -6, -3*k - l*c - 6 = 0 for k.
-1
Let k = -1 + 7. Let b be k/(-5 + 2) - -5. Solve 0*q + 19 = -b*q + 5*f, -22 = -q - 4*f for q.
2
Let i = -20 + 40. Suppose 4*n - 4 = i. Let b be 0*-1*3/n. Solve -2*a - k + 5 = b, 1 = -k + 6 for a.
0
Let m = 0 + 4. Let v(r) be the second derivative of -r**5/20 + r**4/4 + 2*r**3/3 + 2*r**2 - r. Let k be v(m). Solve -k*n = 3*g + 2, 3*g - 10 = n - g for n.
-2
Let w(v) = 4 - 4*v**2 + v**3 + 6 - 5*v - 8. Let n be w(5). Suppose -n*x + 16 = -0. Solve 3*j + 14 = j + 2*t, -j = 2*t - x for j.
-2
Let g = -20 + 32. Suppose 24 = 4*u - 3*r, -6 = -3*u - 2*r + g. Suppose 4*z + 6 = u*z. Solve x + 0 = z*h - 2, -2*x - 4*h = -16 for x.
4
Suppose 6*v = 5 + 13. Solve -2*m - 4*k + 0*k = -4, v*k - 1 = -2*m for m.
-4
Let v be (-2)/(-2) - (2 + -6). Suppose -2*c = -3*t + c - 21, 6 = -3*c. Let m = t - -14. Solve -7*b - m*o + 10 = -2*b, 2*b + v*o - 10 = 0 for b.
0
Let j = -11 - -13. Solve -2*c - s + 10 = -0*s, -j*s - 25 = -5*c for c.
5
Let s = 6 + -1. Let r = 8 - -7. Solve 3*i - 3*m + r = 6*i, 20 = 4*i - s*m for i.
5
Let o be (-3)/3*(1 + -3). Let n be 1*(o + 5) - -2. Solve -2*g = -3*y + 2*g + n, -5*g = 5*y + 20 for y.
-1
Let o(g) = -2*g - 22. Let b be o(-16). Solve 5*v - 2 = -2*x, -v + 2*x + 0*x = -b for v.
2
Suppose -3*d + 9 = -2*d. Let k = -13 + d. Let i = 1 - k. Solve -1 = -3*q + 5*c, -4*c + i = q - 1 for q.
2
Let z be (2 - (-1 - -3))/2. Suppose 2*q + 2 = z, 2*x - 7 = -0*q - q. Solve -2*v + 3*t + 9 = 0, 2*t = 3*v - x + 3 for v.
-3
Let r = 14 - 12. Solve -3*z + 7 = -w + 14, -z - r = 0 for w.
1
Let s = -18 - -18. Solve a + 0*a + 3*k = 0, s = a + 5*k for a.
0
Suppose -m - j - 5 + 1 = 0, -8 = 3*m + 5*j. Let h = m - -9. Suppose -5 = 25*w - 5. Solve -2*a + 3*u + 17 = w, h*a - 2*a - 4*u = 16 for a.
4
Let y(z) = 21*z**3 - 2*z**2 + 2*z. Let x be y(1). Solve 0 = 5*r - l - x, 3*r - l = 5 + 6 for r.
5
Suppose 0*m + 30 = -2*m. Let g be (-132)/(-15)*m/(-6). Solve 0 = 2*h - 5*k + 5 - g, -4*k - 13 = -h for h.
1
Suppose 0*t + 5 = t. Solve -4*i - 7*f + 2*f + 2 = 0, 21 = t*i - 3*f for i.
3
Let q = -8 - -12. Let w(x) = x**2 - 2*x - 5. Let a be w(q). Solve -a*i + 2*i - 4*y = 17, 4*i + 13 = -5*y for i.
3
Let h = 0 - -3. Let t(g) be the second derivative of g**3/3 - 7*g**2/2 - 2*g. Let x be t(5). Solve 3*r - y = 6 - 3, -3*r = x*y - h for r.
1
Suppose -4*o + 8*o = 0. Suppose -85 = -5*v + 5*n - 25, o = -3*v + 2*n + 33. Solve -3*p = v, 2*d = -d + 2*p for d.
-2
Let n(d) = -d**2 - 13*d + 5. Let o be n(-13). Solve -2*k = w - 5*w - 18, -o*k = -15 for w.
-3
Suppose 0 = v - 3*o - 15, -5*v - 4*o + 25 = -9*o. Let p(g) = g - 2. Let h be p(2). Suppose h = k - 11 - 1. Solve -4*r - 2*i - k = 0, 6*i - i - 20 = v for r.
-5
Let s(x) = -x - 2. Let c = 14 - 20. Let r be s(c). Solve -2*w - 6 = -2*m, w - r*m + 7 = -2 for w.
-1
Let b be 54/10 - (-2)/(-5). Let f = b - -20. Solve 2 = -4*h - 3*g - 6, -h + 5*g - f = 0 for h.
-5
Let o(z) = z**2 - z - 36. Let m be o(0). Let a = m - -15. Let v be 2/7 + (-225)/a. Solve -19 = 5*i - 3*x, -4*i + x - v = -0 for i.
-2
Let o(j) = -4*j - 1. Let i = -18 - -15. Let k be o(i). Suppose 0 = c - 2*c - 2*d, 0 = 3*c - d - 14. Solve -c*n + k = v - 5, n - 9 = v for n.
5
Let d = 95 - 82. Suppose 0 = -4*h + 4*c + 80, -2*h + c =
|
{
"pile_set_name": "DM Mathematics"
}
|
- 13. Let g(m) = -2*m - 5. Let d(q) = q + 4. Give n*d(p) - 2*g(p).
p - 2
Let m(v) = -v + 2. Let y(j) = 3*j - 4. Determine -5*m(f) - 2*y(f).
-f - 2
Let g(f) = -7*f**3 - 8*f**2 + 2*f - 3. Let l(w) = -6*w**3 - 7*w**2 + 2*w - 2. What is -5*g(c) + 6*l(c)?
-c**3 - 2*c**2 + 2*c + 3
Let u(k) = -8*k - 3. Let g(m) = -m. Let y = -36 - -76. Suppose 4*j = 5*s + 50, 5*s + 2*j - 4*j + y = 0. What is s*g(i) + u(i)?
-2*i - 3
Let d(k) = -4*k**2 + 39*k - 31. Let u(h) = 3*h**2 - 26*h + 21. Let t(b) = 5*d(b) + 8*u(b). Let g(f) = f**2 - 3*f + 3. Calculate -26*g(v) + 6*t(v).
-2*v**2
Let j(f) = -2*f**2 + 9*f + 3. Let o(q) = -q - 1. Determine j(r) + 4*o(r).
-2*r**2 + 5*r - 1
Let m(n) = -6*n**2 - 17*n - 14. Let r(y) be the third derivative of -y**5/30 - y**4/4 - 5*y**3/6 - 4*y**2. Determine -6*m(f) + 17*r(f).
2*f**2 - 1
Let t(i) = 11*i**3 - 5*i**2 - 4*i**2 + 0*i**2 - 3. Let z be (-8 - -4)/((-5)/5). Let u(p) = 6*p**3 - 5*p**2 - 2. Give z*t(c) - 7*u(c).
2*c**3 - c**2 + 2
Let d(p) = -2 - 2*p + 4*p**3 + 2 + 5*p**2 + 8*p. Let y(h) = -h**2. Let t(f) = 3*f**3 + f**2 + 5*f. Let v(o) = t(o) - 3*y(o). Give 4*d(k) - 5*v(k).
k**3 - k
Let a(m) = 2*m - 2. Let z be a(5). Let t(s) = 5 + 0 + z*s + 3*s. Let u(n) = -5*n - 2. Determine 4*t(x) + 9*u(x).
-x + 2
Let r(j) = -j + 1. Let s(c) = 7*c - 8. Give -24*r(x) - 3*s(x).
3*x
Let t(g) = -2*g - 42*g**2 - 49*g**2 + 90*g**2. Let p be 4/(-14) + (-12)/7. Let u(a) = -a. Calculate p*u(z) + t(z).
-z**2
Let u(v) = 7*v**2 + 3*v - 3. Let w(a) = a**2 - a. Let z(b) = -u(b) + 6*w(b). Let o(k) = -k**2 - 13*k + 4. Determine 5*o(s) - 7*z(s).
2*s**2 - 2*s - 1
Let v(o) = -3*o. Let s(b) = 4*b - 1. Suppose -q - 10 = -6*q + 5*k, -5*q - 5*k - 30 = 0. Give q*s(h) - 3*v(h).
h + 2
Let o(s) = -4*s**2 - 3*s - 2. Let j(a) = -a - 1. Calculate 6*j(f) - 3*o(f).
12*f**2 + 3*f
Let x(a) = -a - 6. Let n(k) = -3*k - 19. What is -3*n(c) + 8*x(c)?
c + 9
Let d(j) = -3*j + 3. Let w(v) = -v. Give -d(h) + 9*w(h).
-6*h - 3
Let q be 1/(1*1/(-2)). Let u(x) = -x**3 + 2*x**2 + 4*x. Suppose 14 = 5*d - 21. Let f(h) = -4*h**3 + 6*h**2 + 13*h. Give d*u(a) + q*f(a).
a**3 + 2*a**2 + 2*a
Let d(g) = 45*g - 25. Let t(z) = 1. Calculate -d(j) - 25*t(j).
-45*j
Let j = 10 - 18. Let x = -6 - j. Let u(q) = -3*q - x*q**2 + q**3 - 2*q**3 - q. Let m(k) = k**3 + 3*k**2 + 5*k + 1. Calculate 2*m(f) + 3*u(f).
-f**3 - 2*f + 2
Let g(a) = 29*a - 3. Let n(i) = -10*i + 1. Let b(z) = -6*g(z) - 17*n(z). Let r(j) = j - 1. Calculate -b(s) - 2*r(s).
2*s + 1
Let v(l) = l - 1. Let q(n) = 7*n + 2. Let k(o) = -q(o) + 5*v(o). Let s(z) = z + 2. Calculate -2*k(h) - 7*s(h).
-3*h
Let t(x) = -8*x**3 - 8*x**2 - 17*x - 25. Let i(o) = -o**3 - o**2 - 2*o - 3. Calculate 51*i(s) - 6*t(s).
-3*s**3 - 3*s**2 - 3
Let g(s) be the third derivative of -s**4/24 - s**3/6 + 6*s**2. Let o(v) = -2*v**3 - 6*v - 6. Determine -6*g(p) + o(p).
-2*p**3
Let m(r) = -r**3 + 4*r**2 + 13*r - 5. Let f be m(6). Let v(q) = 2*q + 3 - 7*q**2 + 2*q - 7. Let z(u) = -u**2 + u - 1. Give f*v(i) - 5*z(i).
-2*i**2 - i + 1
Let a be (1 - 0)*-1 - 1. Let v(x) = x**3 + 3. Let f = -127 + 133. Let j(n) = 1. Calculate a*v(y) + f*j(y).
-2*y**3
Let i(q) = -3*q - 5. Let v(l) = 8 - 2 - 7. Let k(w) = i(w) - 5*v(w). Suppose 3*r - 2 = -0*r + 5*n, 2*r + 3*n + 5 = 0. Let u(o) = -o. Calculate r*k(g) + u(g).
2*g
Let t(s) = -s + 3. Let f(g) = -1. Determine -2*f(x) + t(x).
-x + 5
Let z(m) = -2*m**2 + 3*m - 3. Let q(o) = 3*o**2 - 2*o + 2. Let u = -39 - -37. Calculate u*z(g) - 3*q(g).
-5*g**2
Let u(p) = 4*p**3
|
{
"pile_set_name": "DM Mathematics"
}
|
.
t**(22/3)
Simplify (((t**(2/47))**(-1))**(-46))**33 assuming t is positive.
t**(3036/47)
Simplify (((q/(q/(q*q**2/q)))**(-18))**27)**44 assuming q is positive.
q**(-42768)
Simplify (s**(1/2))**(1/2)*(s**(-2/11))**12 assuming s is positive.
s**(-85/44)
Simplify (b*((b*b**4/b)/b)/b*b)**(-2/55)/((b/b**24)/b*(b**(-30)*b)/b) assuming b is positive.
b**(2962/55)
Simplify (l**(-3))**(-45)*(l**(1/3))**(-2/9) assuming l is positive.
l**(3643/27)
Simplify ((f*f**(3/2))/f)/f**(1/12)*f*f**7*f*(f*f**(-1/7)*f*f)/f assuming f is positive.
f**(1031/84)
Simplify (b*b**(-5/3))**46/((b*(b**(-2/59)*b)/b*b)/b**(1/13)) assuming b is positive.
b**(-74911/2301)
Simplify (a/(a*a**(4/11)))**18*a**1*a*a*a*a**(-5/3) assuming a is positive.
a**(-139/33)
Simplify ((x**(-1/7)*x/x**(-1/4))/(x**(4/9)/(x*x*x**(-2)/x*x)))**(6/25) assuming x is positive.
x**(167/1050)
Simplify (c**9)**19*(c*(c*c**(1/40)*c)/c*c*c)/(c*c/c**29*c*c) assuming c is positive.
c**(8001/40)
Simplify ((h**(-8/7)*h*h*h*h/(h*h**(-3/2)*h))**42)**(15/2) assuming h is positive.
h**(1485/2)
Simplify ((((o/o**0)/o)/(o**(3/2)*o))/(o*o*o**(1/3)*o)**25)**(-4/39) assuming o is positive.
o**(1030/117)
Simplify ((x/x**(-9))/x)**(-2/137)/(x**(-1/7)/x**(-3/10)) assuming x is positive.
x**(-2767/9590)
Simplify h/h**(-20)*h*h**(1/11)*h*h*(h*(h/(((h/((h*h**(-16))/h))/h)/h))/h*h*h)/(h*h*h/(h*h**1)) assuming h is positive.
h**(122/11)
Simplify (w**(-2/3)*w)**14/(w/w**(-3/5)*w**(2/43)) assuming w is positive.
w**(1948/645)
Simplify (y**(-9)/(y/(y/y**(9/2))))/(y**(3/2)/(y/y**5)) assuming y is positive.
y**(-19)
Simplify k**(2/43)/(k**(2/25)*k*k)*(((k*k**(-14)*k*k)/k*k)/k)/(k/(k*k*(k**(-2/57)/k)/k)*k) assuming k is positive.
k**(-984602/61275)
Simplify ((y**(-1/2)*y)/(y*y**13/y))/(y/(y**(-1/7)*y))**(3/7) assuming y is positive.
y**(-1231/98)
Simplify ((c**(2/3)/((c**0/c)/c))**(2/41))**48 assuming c is positive.
c**(256/41)
Simplify (o**(-4)/o*(o*o*o**(6/5)/o*o)/o)/(o*o*o**14*o*o**(-19)) assuming o is positive.
o**(-4/5)
Simplify (v**(2/15)*(v*v*v**7/v)/v)/(v/v**(2/13))**(-34) assuming v is positive.
v**(7001/195)
Simplify (((f**(-7)/f)/f**(-6))**19)**50 assuming f is positive.
f**(-1900)
Simplify n**(3/4)/(n/(n**(-4)*n))*(n**(-2/5)*n)/n*n/((n**(3/16)/n)/n) assuming n is positive.
n**(-67/80)
Simplify ((h/(h*h**(9/8)*h))/h*h/(h/(h*(h*h**(-2))/h)*h))/(h/(((h**(-4)/h)/h*h)/h))**(-37) assuming h is positive.
h**(2031/8)
Simplify (f**(1/10))**13*f/(f**(-23)/f)*f**(-9/8) assuming f is positive.
f**(1007/40)
Simplify (g**(12/5)/g)/g**22*g**8/(g*g**(-17/2)) assuming g is positive.
g**(-51/10)
Simplify (((g*g**(-1/3))**42)**(-2/87))**(-47) assuming g is positive.
g**(2632/87)
Simplify ((i*i**13*i)**(-1/20))**(-3/13) assuming i is positive.
i**(9/52)
Simplify u/u**12*u**(-13)*(u**(-1/15)*u)/(u/u**(3/4)) assuming u is positive.
u**(-1399/60)
Simplify ((s**8*s**5)**(-18))**32 assuming s is positive.
s**(-7488)
Simplify (d**(-4))**(-43)*(d/d**(-1))**(7/8) assuming d is positive.
d**(695/4)
Simplify (x**(-6/5)*x**(-6/11))/(x**(-8)*x**(8/3)) assuming x is positive.
x**(592/165)
Simplify (d**30)**(-48)*(d**(-30))**(-35) assuming d is positive.
d**(-390)
Simplify ((n*n*n**(2/7))/(n*n**(-6))*n/(n/n**11)*n**11)**(-2) assuming n is positive.
n**(-410/7)
Simplify (w**30*w/((w/w**(-2/3))/w))/((w*w**8)/(w*w**13)) assuming w is positive.
w**(106/3)
Simplify ((b**(-1/4))**31/((b/(b**(-1)/b))/b)**(-19))**14 assuming b is positive.
b**(847/2)
Simplify ((h*h**5)**(1/22))**11 assuming h is positive.
h**3
Simplify (s/s**(2/5))/((s**(1/35)/s)/s)*(s**6)**(-4) assuming s is positive.
s**(-150/7)
Simplify ((k*k**(-4))/(k*(k**6/k)/k)*k**(-6)*k/(k/(k*k/((k*(k**(2/5)/k*k)/k)/k*k))))**(-29) assuming k is positive.
k**(1798/5)
Simplify v/(v/(v*v**37))*v*v*(v*v**12)/v*v**(1/31)*v*v*v*v**(-3/8)*v assuming v is positive.
v**(13803/248)
Simplify ((c*c**(2/21))/(c**(4/3)/c))/(c*c**6/c*c**(-6)) assuming c is positive.
c**(16/21)
Simplify (q/(q/(q*q/(q/(q**(-1/7)/q))*q))*q*q*q**(-2)*q)/(q**(-12)*(q*q**(-9)/q)/q) assuming q is positive.
q**(167/7)
Simplify (m*m**(-1/4))**15*(m*m/m**12)**0 assuming m is positive.
m**(45/4)
Simplify ((q**(1/2)*q)**(-8/5)/(q*q**(-3/7)/q*q*q*q**4))**(3/47) assuming q is positive.
q**(-837/1645)
Simplify (i/(i*i/i**(-7/6)*i)*i)/i*i*i*i*i**16/i*i**(7/2)*i*i**19 assuming i is positive.
i**(115/3)
Simplify (i/(i/(i/(i*i/(i**(-1/5)/i)*i*i))))**(-3)/(i*i*i*i**(-1/6)*i)**(-1/10) assuming i is positive.
i**(779/60)
Simplify (w**2*w/w**(-9))/(w**7*w*w*w**(-7)*w) assuming w is positive.
w**9
Simplify (p/
|
{
"pile_set_name": "DM Mathematics"
}
|
ich is the third smallest value? (a) o (b) w (c) -0.1
b
Let u = -69 - -62. Let s = 0.39 - -0.01. What is the second smallest value in u, 0.1, s?
0.1
Let s = -3047 - -3049. Let j = -0.1 - 0.2. Which is the third biggest value? (a) s (b) j (c) -2/5 (d) 0.5
b
Let g = 48 - 47.94. Let y = 3.94 + g. Which is the smallest value? (a) -5 (b) y (c) 2/5
a
Let x = -0.0905 + -0.0095. What is the fourth smallest value in x, -4, -0.8, 0?
0
Let c = -9.95 + -581.05. Let d = c - -587.99. Let f = d + 0.01. What is the second biggest value in f, -0.5, 4?
-0.5
Let u be 11 - ((-3)/(-4) - (-10)/8). Let n be (-5)/(30/9)*30/u. Which is the second smallest value? (a) -0.3 (b) n (c) -2.1 (d) 1/6
c
Let n = 3 + -3.06. Let z = 3.94 - n. Suppose 411*p - 4 = 409*p. Which is the smallest value? (a) p (b) z (c) -0.5
c
Let n = -7.1 + -2.7. Let w = n - -9.6. Which is the biggest value? (a) 5 (b) -5 (c) w
a
Let d = 2 - 1.9. Let f = 202/5 + -41. Let v = 14 - 10. Which is the third smallest value? (a) v (b) f (c) d
a
Let c = 5 + -4. Let f = -1.6 + c. Let k = -886 + 887. What is the biggest value in f, 0, k?
k
Let i(z) = -z**2 + 5*z + 7. Let q be i(6). Let d = -36 + 35.8. What is the biggest value in q, 0.1, d?
q
Let v = 419.9 + -420. Which is the second biggest value? (a) 56 (b) -2 (c) v
c
Suppose 0 = 7*a + 334 + 2578. Let p be 6/(-10)*(-6242)/(-9). Let c = p - a. What is the third biggest value in 1, c, -3?
-3
Let a = -0.15 + -0.55. Let o(p) = -p**2 - 12*p - 31. Let v be o(-6). What is the second biggest value in 2/9, v, a?
2/9
Let h = 697/7 - 100. Let j = 228.6 + -230. Which is the third smallest value? (a) -3 (b) j (c) h
c
Let g = -0.65 - -2.6. Let c = 0.05 + g. What is the fourth smallest value in 3/7, 3, 6/11, c?
3
Let u be 24/16 - (-28)/(-8). Which is the third biggest value? (a) 0.3 (b) u (c) -1/4
b
Let r be ((-8)/22)/((1 - 4) + 6). Let o = r + -32/99. Which is the fourth smallest value? (a) 5 (b) o (c) 0.26 (d) -0.1
a
Let h = 0.3 - 1.3. Let u be ((-4906)/495 + 10)*6/4. What is the smallest value in h, 0, u, 0.2?
h
Let j = 4301 - 30188/7. Let u = 2147/7 - 295. Let v = j + u. Which is the biggest value? (a) v (b) -2/7 (c) 0.06
a
Let o = -59/4 - -15. Let p = 145/8 + -2481/136. What is the biggest value in o, 5, p?
5
Let w be 6/15*((-52)/(-8) - 7). What is the third biggest value in -4/5, 2, w, 1?
w
Let h = 291/8 + -36. Let o be ((-4)/8)/((-1)/(-14)). Let q = o - -11. Which is the second biggest value? (a) h (b) -4 (c) q
a
Let y(q) = q**2 + 46*q + 92. Let r be y(-2). What is the second smallest value in -4/5, r, 1/3?
1/3
Suppose 2*v - l - 35 = -v, 0 = -3*l + 12. Suppose -v*d = -9*d + 240. Let n be 25/d*(-9)/(-10). What is the third biggest value in n, -1, 5?
-1
Let q = 0 - 2. Let r = -8 - -9. Let j = -1.01 + r. Which is the third biggest value? (a) j (b) -1 (c) q
c
Let t = 7 + -19. Let p = -11.7 - t. Which is the second smallest value? (a) 9 (b) p (c) 0.5
c
Let w = 1.83 + 0.17. What is the smallest value in -2, 1/2, w, 3/5?
-2
Let p = 297/2093 + 2/2093. Which is the second smallest value? (a) 0.87 (b) 0.1 (c) p
c
Suppose 10 = -w + 9*p - 5*p, 0 = -5*w - 5*p + 25. Let b = 0.8 - 0.5. What is the second biggest value in -2, b, w?
b
Let z(f) = -f**3 + 4*f**2 - 2*f - 3. Let m be z(3). Let j = -17.538 + 0.038. Let x = 17 + j. Which is the third smallest value? (a) x (b) -2 (c) m
c
Let p = 7 + -11. Suppose 0 = 20*b + 7 + 13. What is the biggest value in b, 1/6, p?
1/6
Let z = 25.3 + -25.1. Let c = 0.11 + -0.21. What is the second biggest value in c, 3, -6, z?
z
Let y = -1.2 + 0.2. Let u = 0.59 - 0.29. Let p = 49/2 - 25. What is the smallest value in p, u, y?
y
Let x = -2269 + 13619/6. Let w = 0 - 0. Let t = 0.3 + w. Which is the biggest value? (a) t (b) -3 (c) x
c
Let j = 0 + 0.5. Let b = -927 + 6487/7. What is the smallest value in 2/5, -0.2, b, j?
b
Let b = -25.82 + 21.82. Let a = -0.3 + 0. What is the second biggest value in 2/3, b, a?
a
Let j be -1 - (27/(-9) - (-9)/4). Let t be (-18)/12 + (-7)/(-6). What is the smallest value in -3, t, j?
-3
Let v = 442 - 515. Which is the second smallest value? (a) 0.3 (b) 0.2 (c) 2 (d) v
b
Let b = -152 + 163. What is the third smallest value in -0.8, 3, b?
b
Let s = -99 - -98.94. Which is the biggest value? (a) 1/4 (b) 0 (c) 2/15 (d) s
a
Let t = -0.1 - -0.3. Let j = -31.77 + 33. Let x = -0.23 + j. Which is the second biggest value? (a) x (b) -0.3 (c) t
c
Let n = -
|
{
"pile_set_name": "DM Mathematics"
}
|
is the first derivative of 3*b*r**3 - 16*b*r**2 - 30*b - 14*r**3 + 87 wrt r?
9*b*r**2 - 32*b*r - 42*r**2
Find the second derivative of 13*g**4 + 19*g**2 + 13*g - 48.
156*g**2 + 38
Find the second derivative of -f**2*n**2*v + 170*f**2*n**2 + 2*f**2*v + 6*f*n**2 + 21*f*n*v - 3*f*v + n**2*v wrt f.
-2*n**2*v + 340*n**2 + 4*v
Differentiate -2*h*i*k**2 - 205*h*i*k + 2*h*k**2 - 2*i*k**2 + 245*k**2 wrt i.
-2*h*k**2 - 205*h*k - 2*k**2
What is the third derivative of 3*b**6 + 17*b**3 - 248*b**2 + 1?
360*b**3 + 102
What is the derivative of 15*h**2*p*t - h**2*p*v + 3*h*t**2*v - 25*p*t*v - p*v + 2*t**2*v + t**2 wrt h?
30*h*p*t - 2*h*p*v + 3*t**2*v
Differentiate 136*v + 182 with respect to v.
136
Find the third derivative of 18*j**2*l**3*v**2 - 5*j**2*l**2*v**2 + 5*j**2*l**2*v - 2*j**2*v - 5*l**3*v**2 + 2*l**3*v - 2*l**2*v**2 wrt l.
108*j**2*v**2 - 30*v**2 + 12*v
Find the third derivative of -m**5*z + 841*m**3*z**2 - 4*m**2*z**2 + 80*m**2*z + m*z**2 wrt m.
-60*m**2*z + 5046*z**2
What is the third derivative of 8*k*l**4*z**2 - k*l**3 + 20*k*l**2*z**2 - 2*k*l**2*z - k*l + k*z**2 - 4*l**5 wrt l?
192*k*l*z**2 - 6*k - 240*l**2
Differentiate -20*s**3*w**2 - 25*s**3*w - 11*s**3 - s**2 + 67 wrt w.
-40*s**3*w - 25*s**3
Find the first derivative of -2272*c - 5494 wrt c.
-2272
What is the derivative of -1415*h*r**3*x + 4*h*r**3 - 21*r**3 wrt x?
-1415*h*r**3
Find the second derivative of 1074*x**4 + 2*x**3 + 15*x + 14.
12888*x**2 + 12*x
What is the second derivative of 96*n**4 + 2*n**2 + 42*n + 3 wrt n?
1152*n**2 + 4
Find the first derivative of -23100*x**4 - 13386 wrt x.
-92400*x**3
What is the first derivative of 2284*y**3 + 247?
6852*y**2
What is the third derivative of 321*j**4 + 2093*j**2?
7704*j
What is the first derivative of -5014*i - 7815 wrt i?
-5014
What is the third derivative of -5*f**6 + 93*f**5 - 870*f**2 wrt f?
-600*f**3 + 5580*f**2
What is the third derivative of -188*u**6 - 2*u**2 - 1?
-22560*u**3
What is the second derivative of -99*q**4 + q + 332 wrt q?
-1188*q**2
What is the third derivative of b**5 + 406*b**4 - 2*b**3 - 893*b**2?
60*b**2 + 9744*b - 12
What is the second derivative of -219*d**2*o**2 - d*o**2 - 4*d*o - 3 wrt d?
-438*o**2
What is the third derivative of 69*x**4 - 2*x**3 - 489*x**2 wrt x?
1656*x - 12
What is the second derivative of -518*b**4 + 2*b**2 + 2*b + 2453 wrt b?
-6216*b**2 + 4
What is the third derivative of -12*g**3*s - g**3 + 9*g**2 + 9*g*s - 2*s wrt g?
-72*s - 6
What is the derivative of -2*n**3 - 32*n*y - 2*y wrt n?
-6*n**2 - 32*y
Find the first derivative of 4*z**2 - z - 63.
8*z - 1
Find the second derivative of 43*h*w**4 + 18*h*w - 94*h + 8*w**5 wrt w.
516*h*w**2 + 160*w**3
Find the third derivative of -4*a*q*w + 304*a*q*x**3 + 2*a*w*x**3 - 8*a*x**2 + q*x**3 - w*x**3 - 11*w*x wrt x.
1824*a*q + 12*a*w + 6*q - 6*w
What is the third derivative of -107*w**5 + 14*w**3 + 6257*w**2 wrt w?
-6420*w**2 + 84
Find the second derivative of 823*a**2 - 247*a wrt a.
1646
Find the first derivative of -168*o - 2.
-168
Find the third derivative of 180*n**4 + n**3 - 255*n**2.
4320*n + 6
Differentiate -21*o**3*w - 20*o*w**2 - 1336*w**2 with respect to o.
-63*o**2*w - 20*w**2
Find the third derivative of 18*n**6 - 27*n**5 - 2*n**4 + 20*n**2 - 184.
2160*n**3 - 1620*n**2 - 48*n
What is the second derivative of -391*x**5 - 16*x + 40?
-7820*x**3
Differentiate 17*k**2*o**3 - 2*k**2 - 10*k*o**4 - 7*k wrt o.
51*k**2*o**2 - 40*k*o**3
Find the third derivative of -9*h*m**4 + 149*h*m**2 + 15*m**5 wrt m.
-216*h*m + 900*m**2
Find the third derivative of 3*q**5 - q**3*x - 80*q**3 - 2*q**2 + 12*x wrt q.
180*q**2 - 6*x - 480
What is the third derivative of 2*i**4*r + 10208*i**4*s + 2*i**3*r - 2*i**2 - 2*i*r*s + i + 369*r*s wrt i?
48*i*r + 244992*i*s + 12*r
Find the second derivative of 5*s**4 - 509*s**3 + 200*s + 52 wrt s.
60*s**2 - 3054*s
Find the first derivative of -r**3*s**2 + 53*r**3*s + 31*r**3 + 4*r**2 wrt s.
-2*r**3*s + 53*r**3
What is the second derivative of -203*c**5*x - 14*c**2*x**2 - 14*c*x**2 + 8*c*x - 3*c + 2*x**2 wrt c?
-4060*c**3*x - 28*x**2
Find the second derivative of 7*i**2*l*o**3 + 4*i**2*l*o**2 + 2*i**2*o + 87*i*l*o**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 33*u**2 + 750*u**5 - 23*u**2 + 12 - 5 wrt u?
45000*u**2
Let c(w) = w**5 - 4*w**3 - 308*w**2 + 5*w + 18. Let m(s) = s**5 + 2*s**3 - s**2 + s. Let h(d) = c(d) + 2*m(d). What is the second derivative of h(g) wrt g?
60*g**3 - 620
Suppose 0 = 8*g + 417 - 1241. Find the first derivative of -3*u + 6 + 57*u**4 - g*u**4 + 30*u**4 wrt u.
-64*u**3 - 3
Suppose -5*r = -2*q - 15, 5*q - 15 = -8*r + 3*r. Find the third derivative of -2*l**2 - 16 - 9 - 1538*l**r + 1374*l**3 wrt l.
-984
Find the third derivative of 3*h**3 - 10*h**2 + 3*h**3 - 140*h**4 - 4*h**3 + 17 + 35*h**4 - h**3 wrt h.
-2520*h + 6
Let m = -383 + 1179. Let h = -52 + m. What is the first derivative of -744*n + 6*n**3 + 2*n**3 - 16 + h*n wrt n?
24*n**2
Find the third derivative of 761*h**2 + 51*h**2 + 43*h**3 - 503*h**4 + 507*h**4 - 43*h**3 - 12*h**5 wrt h.
-720*h**2 + 96*h
Let t(m) be the third derivative of -17*m**7/42 - 13*m**4/12 - 11771*m**3/6 + 12*m**2 - 87*m. Differentiate t(a) with respect to a.
-340*a**3 - 26
Let k(o) = 813*o**3 + 12*o**2 - 6*o - 771. Let g(s) = -1625*s**3 - 26*s**2 + 13*s + 1542. Let h(y) = 6*g(y) + 13*k(y). Differentiate h(c) wrt c.
2457*c**2
Let p(g) be the first derivative of -112*g**5 - 1265*g - 1106. Differentiate p(h) with respect to h.
-2240*h**3
Let c(k) = 8*k - 32. Let p be c(6). What is the third derivative of 23 + 17*x**3 + 11 + p*x**3 - 34 - 25*x**2 wrt x?
198
Let f(y) be the third derivative of -199*y**4/24 - 383*y**3/3 + 2*y**2 + 67. Find the first derivative of f(b) wrt b.
-199
Let n(p) = p + 75. Let l(a) = 6. Let x(r) = -3. Let v(u) = 8*l(u) + 11*x(u). Let j = 43 - 21. Let m(y) = j*v(y) - 4*n(y). Differentiate m(b) wrt b.
-4
Let h(y) be the third derivative of 19*y**8/3360 + y**6/120 - y**5/30 - 12*y**2 - 3. Let c(f) be the third derivative of h(f). Differentiate c(w) wrt w.
228*w
Let u = -23 - -36. Suppose 5*c - 33 = -4*x - 0*x, c - u = -4*x. What is the third derivative of -25*p**2 - p**2 - 6*p**5 - 9*p**x wrt p?
-360*p**2
Let t(j) = 15*j - 78. Let y(k) = -6*k + 31. Suppose 16*b + 21*b - 185 = 0. Let h(d) = b*t(d) + 12*y(d). Differentiate h(i) wrt i.
3
Let w(i) be the second derivative of i**2 + 0*i**4 - 21/20*i**5 + 0 + 19*i - 1/2*i**3. Find the second derivative of w(r) wrt r.
-126*r
Let l(c) be the second derivative of -1/3*c**3 - 1 - 58*c + 19/2*c**2 + 0*c**4 - 1/20*c**5. Differentiate l(p) with respect to p.
-3*p**2 - 2
Let u(r) = -7*r - 150. Let p be u(-24). Let l be (-24)/10*(-4 + -1). Find the first derivative of 19 - 39 + p - l*k**4 wrt k.
-48*k**3
Let a be (-4)/18 + (-28776)/(-216). Suppose 0 = -5*k - p + a, 5*k - 129 + 5 = 2*p. Find the second derivative of 44*l**2 - 92*l**2 - k*l + 43*l**2 wrt l.
-10
Suppose -33*v = -691 - 2477. What is the derivative of 62*s + 79 + 62*s - v*s**3 - 124*s wrt s?
-288*s**2
Let l(w) be the first derivative of 0*w**4 + w + 0*w**3 + 231/5*w**5 - 35/2*w**2 - 1/6*w**6 + 229. What is the second derivative of l(q) wrt q?
-20*q**3 + 2772*q**2
Let x = -71/52 + 655/156. Let o(d) be the third derivative of 0 + 0*d + x*d**3 + 7/15*d**5 - 17*d**2 + 0*d**4. What is the derivative of o(t) wrt t?
56*t
Let u(f) be the third derivative of 0*f**6 + 12*f**3 + 0 + 1/210*f**7 + 0*f**5 - 2*f**2 - 160*f + 19/24*f**4. Differentiate u(v) with respect to v.
4*v**3 + 19
Let t(r) be the first derivative of -65*r**3/3 - 7*r**2/2 - 10554*r - 738. What is the first derivative of t(m) wrt m?
-130*m - 7
Let o be (-4 - 90/(-24))/(3/(-156)). Find the second derivative of o*g**2 - 47 + 7*g**4 - 8*g**4 + g - 14*g**2 wrt g.
-12*g**2 - 2
Find the first derivative of -19788 + 7267 + 266*w + 9175 wrt w.
266
Let h(q) be the first derivative of -330*q**7/7 - 109*q**3/3 + 4*q + 338. What is the third derivative of h(d) wrt d?
-39600*d**3
Let i = 6 - 1. Suppose -3*n = -i*m - 33, 2*m = -m - 9. What is the second derivative of -3*s**5 - 7*s**5 + 8*s - 10*s - n*s**5 wrt s?
-320*s**3
Let v(h) be the first derivative of -557*h**4/2 - 995*h**3/3 + 658. What is the third derivative of v(g) wrt g?
-6684
Let y(p) = 34*p + 47. Let m(f) = -11*f - 16. Let j = 41 - 33. Suppose 56 = -z + j*z. Let w(v) = z*m(v) + 3*y(v). Differentiate w(d) with respect to d.
14
Let p(n) be the third derivative of -3575*n**8/336 + 2*n**5/15 + 5*n**4/8 - n**2 + 472*n + 2. Find the third derivative of p(h) wrt h.
-214500*h**2
Let w(i) be the second derivative of 43/2*i**3 + 49*i**2 - 2 + 16*i. Differentiate w(a) with respect to a.
129
Let y(a) be the first derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
i. Is 12 a factor of q?
True
Let a be 4 - 696/44 - (-8)/(-44). Let f(p) = -3*p - 9. Is 9 a factor of f(a)?
True
Let r(j) = -j. Let h(w) = -9*w + 45. Let b(p) = -h(p) + 15*r(p). Is b(-15) a multiple of 15?
True
Is (15/6)/(-5)*7992/(-4) a multiple of 37?
True
Let g(o) = 2*o**3 - 46*o**2 - 14*o - 176. Does 10 divide g(24)?
True
Suppose 4*f - 9 = f. Suppose -173 = -2*j + c + 150, 165 = j + f*c. Suppose -3*i - 11 = 2*m - 119, 3*m = 3*i + j. Is m a multiple of 18?
True
Let q(s) = 2*s**2 + 3*s + 1. Let v be q(-2). Let x = 204 - 197. Suppose v*w + 152 = x*w. Is w a multiple of 8?
False
Let q(y) = y**2 - y - 136. Let v be q(0). Let f be -51 + ((-22)/66)/(2/(-36)). Let m = f - v. Is m a multiple of 16?
False
Suppose -31*q = -35*q + 1488. Suppose 7*y = 4*y + q. Does 16 divide y?
False
Let u = 173 + -113. Suppose 0*f = 4*i - 4*f - 120, 3*f + u = 2*i. Does 11 divide i?
False
Suppose -5*w + 16 = -2*b, 0 = w + 3*b - b + 4. Suppose 11*o = w*o + 252. Does 7 divide o?
True
Let p(r) = -r - 4. Suppose -4*c = 42 + 6. Let d be p(c). Is (2 - -1)/(12/d) a multiple of 2?
True
Let g = -5363 + 11874. Is g a multiple of 51?
False
Let q(v) = v**3 + 7*v**2 + 8*v + 6. Let p be q(-6). Does 5 divide p/(-24) - (-118)/8?
True
Suppose 2*m - 2 = 2. Suppose -m*p - 2*y + 107 = -31, 3*y = -5*p + 347. Is p a multiple of 11?
False
Is 61 a factor of (285 - -43)*1/2?
False
Let s = -1576 - -4054. Is 130 a factor of s?
False
Let j be -20*(2 + (-27)/12) + -1. Let k(p) = -6*p**2 + 4*p**2 + 5*p + 3*p**2. Is k(j) a multiple of 18?
True
Suppose -4*n + 2*x + 5 + 5 = 0, x + 2 = n. Suppose 0 = n*j + j - 2*r - 318, 0 = -3*j + r + 240. Suppose 0 = -2*f + j - 25. Is 14 a factor of f?
True
Suppose -7*p = -2*p. Suppose -q + p*q = -6. Suppose -10*s + 68 = -q*s. Does 9 divide s?
False
Let f be 4/(-22) - (-194)/(-22). Let l be (264/f)/((-5)/(-15)). Let o = 144 + l. Is o a multiple of 14?
True
Let b be 32/2 - -2 - 2. Does 18 divide -1 + 1 - -6*b?
False
Let z(o) = 11*o - o - 8*o**2 - 3*o + 18*o**3. Is z(1) a multiple of 3?
False
Let m(b) = 2*b - 15. Let y be m(9). Suppose 0 = -y*l + 144 + 159. Is l a multiple of 37?
False
Let y be ((-2)/6)/((-5)/150). Suppose -n + 15 = g + n, g = 3*n - y. Is (-42)/g*(-25)/10 a multiple of 9?
False
Let s(y) = -3*y - 32. Let m be s(-12). Suppose -2*i + m*r = -150, 1 = r - 2. Does 9 divide i?
True
Suppose 196 + 354 = 5*h. Suppose 0 = v - 4*w - 142, -v - 5*w + w = -h. Suppose 4*g + v = 6*g. Does 17 divide g?
False
Let k = -15 - -29. Let b(j) = -j**2 + 14*j + 19. Let x be b(k). Let p = 28 - x. Is p a multiple of 9?
True
Let y(t) = t**2 + 6*t - 2. Let m be (-256)/26 + (-14)/91. Does 19 divide y(m)?
True
Let m(b) = -2*b**2 - 2. Let g be m(-6). Let x = 98 + g. Is 4 a factor of x?
True
Suppose 4*q + 0*q + 3*m - 41 = 0, 0 = -q + m + 19. Suppose -3*t + 95 = -5*u + 27, -u + 28 = 2*t. Let s = q + t. Is 20 a factor of s?
False
Let o(a) = a**2 - 2*a. Let y be o(1). Let n be y/((-1)/3) + 2. Is (-15)/(-6)*22/n a multiple of 3?
False
Suppose 2*o - 31 = -t - o, -3*t - 3*o + 75 = 0. Let g = -5 + t. Does 9 divide g?
False
Suppose 0 = -4*n + 6*n + 5*g - 1057, -2*g + 2074 = 4*n. Does 43 divide n?
True
Let i(x) = 5*x - 5*x + 4*x**3 + x**2. Let l be i(-1). Let p(h) = -12*h + 4. Does 20 divide p(l)?
True
Let g(u) = u**2 - 6*u - 3. Let r be g(7). Let c be -3*((-24)/(-9))/r. Let m(q) = q**3 + 3*q**2 - 1. Is 2 a factor of m(c)?
False
Let g(k) = -k**3 - 7*k**2 + 10. Let f be g(-7). Let u be 232/f*(-10)/(-4). Suppose -20 = -3*n + u. Is n a multiple of 8?
False
Suppose -3*r - f + 3*f = -2, -3*f - 18 = 3*r. Let s(g) = -18*g + 2. Is s(r) a multiple of 19?
True
Let h = -1408 - -1900. Is 6 a factor of h?
True
Suppose 0 = -13*z + 16*z - 4*j - 405, -2*z - 5*j + 270 = 0. Suppose 0 = -o + z - 91. Is 22 a factor of o?
True
Suppose -720 = -71*o + 61*o. Is o a multiple of 7?
False
Suppose -4*k + 5*u + 146 + 21 = 0, -3*k + 3*u + 126 = 0. Let o = k + -29. Does 5 divide o?
False
Suppose 2*p - 367 = 3*m, -p = -6*p + 4*m + 914. Is 7 a factor of p?
True
Let u be (-10)/(1*(-2)/73). Suppose -z = -2*l + 3*z + 146, -u = -5*l - 3*z. Is 21 a factor of l?
False
Let h(r) = 62*r - 83. Is 53 a factor of h(6)?
False
Suppose 4*r - 2*r = -18. Is r/(-3)*(1 + 44) a multiple of 15?
True
Let o = 1468 - -2756. Does 88 divide o?
True
Let t be (197 + 1)/(1 + 0). Suppose -4*i = -2*j + t, -7*j = -2*j - 4*i - 483. Does 19 divide j?
True
Suppose -a + 4 = 2. Let y be ((-5)/a)/((-20)/40). Suppose 394 = y*z + 114. Is 14 a factor of z?
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Let j(g) = 3*g**2 - 4 + 0*g**2 - 4*g**2. What is b*j(p) - 3*z(p)?
2*p**2 - 1
Let t(b) = -13*b**2 - 3*b. Let s(w) = 13*w**2 + 2*w. Give 3*s(m) + 2*t(m).
13*m**2
Let b(g) = 7*g - 3. Suppose -4*i - v = v - 12, 0 = 2*i + 5*v + 10. Let n(r) = -8*r + 4. Calculate i*n(y) + 6*b(y).
2*y + 2
Suppose 19 = -2*k + g - 1, -5*g = 10. Suppose -2*o + 5*o - 18 = 0. Let r(n) = 13*n - 13. Let l(a) = 3*a + 11*a - 7 - 7*a. Give k*l(x) + o*r(x).
x - 1
Let b(r) = -3*r**3 + 5*r. Let p(q) = -4*q**3 + 6*q. Suppose -3*t = f + 5, 5*f + 0*f = 5*t + 35. Suppose -25 = z + f*z. Determine z*p(j) + 6*b(j).
2*j**3
Let k(z) = z - 3. Let v be k(4). Let d(t) = -t. Suppose -2*f = -4*h + 86, -4*f - 3 = -f. Let a(o) = 13 - 35 + h - 3*o. Calculate v*a(g) - 5*d(g).
2*g - 1
Let i(a) = -11*a + 8. Let s(u) = -5*u + 4. What is -6*i(j) + 13*s(j)?
j + 4
Let i(z) = 3*z**3 + z**2 - z - 3. Let x(s) = 1. Determine -i(y) - 3*x(y).
-3*y**3 - y**2 + y
Let d(h) = -6*h**3 - 2. Let g(a) = -24*a**3 - 9. Give -18*d(b) + 4*g(b).
12*b**3
Let d(y) = 4*y + 2. Let k(u) = 17*u + 1. Let s be k(2). Suppose -3*z - 2*z = s. Let h(t) = 1 + 2*t + 7*t + 3. Calculate z*d(x) + 3*h(x).
-x - 2
Let w(u) = 2*u**2 + 4*u**2 + 3 + 2. Let o(v) be the third derivative of v**5/60 + v**3/6 - 7*v**2. Determine -5*o(q) + w(q).
q**2
Let l(t) = -21*t**3 - 2*t**2 - 2*t - 2. Let a(p) = -43*p**3 - 5*p**2 - 5*p - 5. Calculate 2*a(d) - 5*l(d).
19*d**3
Suppose 5*n - n = 20. Let t(i) be the first derivative of -i**4/2 + 5*i**3/3 - 3*i**2/2 - 7*i + 116. Let l(s) = -s**2 + s + 1. Calculate n*l(d) + t(d).
-2*d**3 + 2*d - 2
Let l(j) = j + 1. Suppose 5*r = -5*u + 5, 0 = 2*r + 3*r + 4*u - 5. Let z(i) = -4*i - 7. Calculate r*z(w) + 6*l(w).
2*w - 1
Let r(x) = -5*x + 9*x - 1 - 5*x. Let v(u) = -u - 2. Suppose 4*n = -2*p + 6, -4*p - 2*n = -2 - 16. Calculate p*r(b) - 3*v(b).
-2*b + 1
Let r(j) = -j**2 - 4*j + 7. Let s be r(-5). Let v(i) = -4*i**3 - i + 3. Let w = -1 - -2. Let t(g) = 3 + g**3 + w - 6*g**3 - 2*g. What is s*t(p) - 3*v(p)?
2*p**3 - p - 1
Let i = 0 - -2. Let c(m) = -2*m + m + 17 - 15 + 3*m**2 + 3*m. Let j(b) = 6*b**2 + 5*b + 4. Calculate i*j(w) - 5*c(w).
-3*w**2 - 2
Let b(u) = -14*u**3 + 8*u - 8. Let x(v) be the third derivative of v**6/24 - v**4/8 + v**3/2 - 2*v**2. Give -3*b(j) - 8*x(j).
2*j**3
Let j(w) = -w**3 + 3*w**2 - 3*w - 1. Let z(a) be the third derivative of a**6/40 - a**5/12 + 5*a**4/24 + a**3/3 + 8*a**2. Give 5*j(g) + 3*z(g).
4*g**3 + 1
Let v(h) = -2*h**2 + h. Let x(l) = -l**2 - 2*l - 1. Let z be (2 - 1)/((-2)/2). Let j be x(z). Let p(q) = -q + 2 + j*q**2 - 1 + q**2. Calculate -p(s) - v(s).
s**2 - 1
Suppose -5*u + 16 = 3*m, 2*m - 5*m = 4*u - 14. Let i(s) = u*s - 7*s - s**2 + 0*s + 4*s**2. Let k(d) = 2*d**2 - 3*d. Calculate 3*i(z) - 5*k(z).
-z**2
Let z(y) = 5*y. Let n(a) = -2*a. Let q = -14 + 9. Let s be 37/q - (-4)/10. Let x(w) = w**3 + 7*w**2 - 4. Let r be x(s). Calculate r*z(f) - 9*n(f).
-2*f
Suppose 0 = -7*v + 4*v + 3. Let a(r) = r + 1. Let b(k) = -14*k - 14. Give v*b(w) + 12*a(w).
-2*w - 2
Let u(i) = i**2 + i. Let n(b) = 3*b**3 + 7*b**2 + 7*b. Determine -5*n(g) + 35*u(g).
-15*g**3
Let i(d) = 0*d + 5*d - 1 + 3*d + 8*d**2. Let x be 1*(0 + 0) - 6. Let k(l) = l**2 + l. Suppose -4*o = -2*m - 12, -3 - 1 = 4*o + 2*m. Determine o*i(g) + x*k(g).
2*g**2 + 2*g - 1
Let a(j) be the second derivative of j**5/4 - 2*j**4/3 - 11*j**3/6 - 17*j**2/2 - 24*j. Let z(t) = -2*t**3 + 3*t**2 + 4*t + 6. Give -4*a(u) - 11*z(u).
2*u**3 - u**2 + 2
Let w(y) = -3*y**2 + 1. Let z(r) = -15*r**2 + 6. Calculate -22*w(o) + 4*z(o).
6*o**2 + 2
Let g(j) = j**2 - 5*j. Let h(z) =
|
{
"pile_set_name": "DM Mathematics"
}
|
*s
Let u(j) = 2*j**2. Let y(o) be the first derivative of 2*o**3/3 + o + 1. Let g(z) be the first derivative of y(z). Give u(g(r)).
32*r**2
Let w(y) be the second derivative of 0*y**2 - 3*y + 0 + 1/6*y**4 + 0*y**3. Let b(i) = -i**2. Give w(b(o)).
2*o**4
Let j(p) = 3*p. Let w(t) be the first derivative of t**2/2 + 3. What is j(w(a))?
3*a
Let v(y) be the third derivative of y**4/12 + y**2. Suppose a - 7 = 4*q - 18, 5*q = 5*a - 5. Let m(f) = q*f**2 - 5*f**2 + 2*f**2. Give m(v(p)).
4*p**2
Let a be (2*-2)/(-1) + -1. Let r = a + -1. Let d(b) = 2 + 2*b - r. Let z(u) = 3*u. Determine z(d(i)).
6*i
Let k(n) = -85*n. Let p(v) = 2*v**2. Determine k(p(y)).
-170*y**2
Let r(n) = 2*n. Let u(i) = -15*i + 65. Determine r(u(j)).
-30*j + 130
Let h(u) = -4*u. Let r(i) = -3*i**2 + 249. Calculate h(r(c)).
12*c**2 - 996
Let s(b) = 2*b**2 + 13*b - 13. Let n(t) = -t**2 - 6*t + 6. Let p(m) = -13*n(m) - 6*s(m). Let o(g) = 0*g**2 + g**2 - 3*g**2. Determine p(o(v)).
4*v**4
Let m be (7 - 0) + 1/(-1). Suppose -2*n = 3*b + 2, -n - 6 = 4*b - 0*b. Let k(c) = -c**n - c**2 + m*c**2. Let g(w) = w. Calculate g(k(x)).
4*x**2
Suppose 0 = 5*x - 15 + 5, -x = 4*b - 10. Let v(h) = 1 + b*h**2 - 1. Let q(p) = 4*p**2 - 3*p**2 + 4*p**2. What is q(v(l))?
20*l**4
Let a(y) = 30*y**2. Let l(q) = -6*q**2. Give l(a(w)).
-5400*w**4
Let c(z) = -2*z + 136. Let b(x) = 2*x. Give c(b(k)).
-4*k + 136
Let g(t) = -t**2 - 1. Let c = 43 - 67. Let k(u) = -7*u**2 - 8. Let d(w) = c*g(w) + 3*k(w). Let y(b) = b. Give y(d(o)).
3*o**2
Let t(p) = -p**3 + 7*p**2 - 6*p + 2. Let k be t(6). Let h(x) = k*x - 6 + 6. Let f(q) = -2*q. What is h(f(j))?
-4*j
Let m(q) = -12*q. Let p(k) = 336 + k - 336. Calculate m(p(i)).
-12*i
Let g(r) = -r**2 + 7*r**2 - 6*r**2 - r**2. Let c(d) = 5 - 5 - 4*d. Calculate g(c(y)).
-16*y**2
Let j(t) = 18*t**2. Let x(f) = 216*f. Give j(x(d)).
839808*d**2
Let a(n) = 2*n - 2. Let k(t) = -3*t + 1. Let w(s) = 4*a(s) + 5*k(s). Let q(b) = 20*b + 8. Let l(g) = 3*q(g) + 8*w(g). Let p(f) = -f. What is p(l(m))?
-4*m
Let x(m) = -m**2 - 2*m + 2. Let v(l) = -9*l**2 - 21*l + 21. Let f(p) = 2*v(p) - 21*x(p). Let g(a) = 3*a. Give g(f(n)).
9*n**2
Let m(s) = -2*s**2. Let r(g) be the first derivative of 2*g**3 + 8. Calculate r(m(t)).
24*t**4
Let m(q) = 89*q**2 - 3. Let t(r) = -2*r**2. Determine m(t(f)).
356*f**4 - 3
Let j(d) = -d**2. Let r(o) = 66*o - 3 + 3 - 67*o. What is j(r(l))?
-l**2
Let z(o) = 55*o + 65. Suppose -2*m + 256 = 4*l, -5*m - 57 = -l + 18. Let a(x) = 5*x + 6. Let h(s) = l*a(s) - 6*z(s). Let f(n) = -n**2. What is h(f(c))?
5*c**2
Let r = -4 + 7. Let x(l) = -l - 3 + r. Let t(q) be the second derivative of q**4/4 - q + 3. Determine t(x(a)).
3*a**2
Let m(q) = q**2. Let v(h) = 653*h + 8. Determine v(m(z)).
653*z**2 + 8
Let x(i) = -21*i**2 + 10*i**2 + 7*i**2. Let v(o) = 13*o**2. Calculate x(v(u)).
-676*u**4
Let r(o) be the first derivative of -o**3/3 + 1. Let m be ((-12)/10)/(20/(-150)). Let w(j) = m*j + 0*j - 6*j - j. Determine w(r(y)).
-2*y**2
Let h(s) = -9*s**2. Let i(c) be the first derivative of c**3/6 + 6*c + 7. Let l(x) be the first derivative of i(x). Give h(l(p)).
-9*p**2
Let z(q) = 2*q**2. Let r(h) = -2. Let j(a) = -3*a + 18. Let g(u) = 2*j(u) + 18*r(u). Determine g(z(b)).
-12*b**2
Let a(i) = -4*i + i + 5*i. Let w(h) = 236*h + h**2 - 236*h. Give w(a(s)).
4*s**2
Let n(y) = y. Let m(t) be the first derivative of -t**2 - 7. Give n(m(q)).
-2*q
Let v(t) = -7*t. Let a(k) = -7*k + 4. Calculate a(v(f)).
49*f + 4
Let g(q) = 9*q. Let k(s) = -2*s**2 + 3*s - 3*s. Determine k(g(o)).
-162*o**2
Suppose y + 3*y = 24. Let o(u) = -y*u**2 + 2*u**2 + 2*u**2. Let l(c) = 3*c**2. Determine o(l(m)).
-18*m**4
Let k(a) = 8*a**2. Let p(h) be the third derivative of h**4/12 - 8*h**2. What is k(p(r))?
32*r**
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1. Let j(q) be the third derivative of r(q). Give v(j(t)).
-4*t**2
Let f(m) be the second derivative of m**4/6 + 30*m**2 + 2*m + 1854. Let c(t) be the first derivative of 2*t**3/3 - 1. Determine f(c(s)).
8*s**4 + 60
Let x(m) = 126631*m**2. Let w(r) = 298*r. Calculate w(x(p)).
37736038*p**2
Let m(p) = 2*p. Let j(t) be the second derivative of 2279*t**3/6 - t + 1160. Give j(m(w)).
4558*w
Let h(j) = j**2 - 9. Let z(d) = 6*d**2 - 48. Let a(c) = -16*h(c) + 3*z(c). Let u(r) = 2*r + 2025. What is u(a(v))?
4*v**2 + 2025
Suppose -10*n = -12*n + 42. Let j(k) = -23*k**2 - n*k**2 + 37*k**2. Let x(w) be the second derivative of w**4/4 + w. Give x(j(p)).
147*p**4
Let c(j) be the first derivative of -2*j**3/3 + 603. Let z(h) be the first derivative of -13*h**2 + 7. What is z(c(a))?
52*a**2
Let t(b) = b. Let u(r) = r**3 + 6*r**2 - 10*r - 17. Let q be u(-7). Suppose -q*i = -3*i - 63. Let l(y) = 30*y + i*y - 33*y. Calculate l(t(z)).
60*z
Let b be (-3)/(7 - 1)*-4. Let n(g) = -b*g - 25*g - 4*g. Let t(u) = -21*u. Let k(a) = 4*a. Let x(j) = 11*k(j) + 2*t(j). Calculate x(n(o)).
-62*o
Let t be (1/((-6)/1))/(119/(-8925)). Let f(i) be the first derivative of 19 + 0*i + t*i**2. Let b(c) = c. Give b(f(u)).
25*u
Let k(p) = -10*p - 10*p + 3677*p**2 + 20*p. Let n(f) = 2*f. Calculate k(n(t)).
14708*t**2
Let x(l) = 2*l**2 + 6*l. Let h(o) = -o**2 - o. Let q(n) = -6*h(n) - x(n). Let s = -75 - -77. Let i(t) = 4*t**2 + s*t**2 + 4*t**2 - 6*t**2. Determine q(i(y)).
64*y**4
Let u(m) = -2*m. Let q(h) = -11768671*h**2. Give u(q(s)).
23537342*s**2
Let t(c) be the third derivative of c**4/24 - 466*c**2. Let q(h) = -7*h - 22. Determine t(q(x)).
-7*x - 22
Let f(o) = -4*o + 44. Let n(r) = 4200*r**2 - 13 - 4189*r**2 + 13. Give n(f(q)).
176*q**2 - 3872*q + 21296
Let p(h) = -21098*h. Let r(f) = -7*f - 10. Give p(r(k)).
147686*k + 210980
Let s(x) = 511*x - 170*x - 170*x - 172*x. Let c(y) = y + 183. Determine s(c(o)).
-o - 183
Let c(f) = f. Let i(l) = l + 1. Let j(b) = 1758*b - 5. Let r(n) = 7*i(n) + j(n). Calculate r(c(g)).
1765*g + 2
Let x(k) = 2*k**2. Let i(z) = z**2 + 5. Let m = -83 - -81. Let s be (1/(-2))/(m + 18/8). Let a(j) = -2. Let n(d) = s*i(d) - 5*a(d). Determine n(x(y)).
-8*y**4
Let l(b) = 27*b**2 - 26*b + 3. Let c(o) = -4*o + 29. What is c(l(n))?
-108*n**2 + 104*n + 17
Let x(u) be the first derivative of 6*u**2 + 7*u + 1647. Let m(n) = -7*n - 3*n - 4 + 3*n. Let y(s) = 7*m(s) + 4*x(s). Let l(z) = -9*z**2. What is l(y(g))?
-9*g**2
Let p(b) be the first derivative of -b**5/120 - 2*b**3/3 + 49*b - 26. Let a(x) be the third derivative of p(x). Let g(f) = -243*f. Give a(g(u)).
243*u
Let u(j) = -3*j**2. Let b(s) = 60113*s - 1504. Let n(i) = -1603*i + 40. Let d(p) = -5*b(p) - 188*n(p). Determine d(u(f)).
-2397*f**2
Let n(g) be the first derivative of -2921*g**2/2 + 2958. Let f(k) = -k. Calculate n(f(s)).
2921*s
Let m(b) = 126*b + 74. Let r(y) = -127*y - 83. Let i(k) = 9*m(k) + 8*r(k). Let s(o) = -3*o**2. What is i(s(x))?
-354*x**2 + 2
Let w(u) = 12*u**2 - 34*u + 5. Let y(g) = -14*g**2 + 33*g - 6. Let d(b) = 6*w(b) + 5*y(b). Let v(h) = 26*h**2. What is d(v(t))?
1352*t**4 - 1014*t**2
Let l(r) = 86*r - 4 + 4 - 87*r. Let a(i) be the third derivative of i**4/12 - 2*i**3 + 118*i**2. Give l(a(x)).
-2*x + 12
Let c(i) = 12*i + 3504748. Let b(r) = 2*r. Give c(b(f)).
24*f + 3504748
Let t(u) = -u. Let x(k) = -24*k. Let i(g) = 16*t(g) - x(g). Let w(o) = -3*o + 3. Let r(j) = 2 + 8 + 6 - 6*j - 11. Let q(m) = 3*r(m) - 5*w(m). Calculate q(i(s)).
-24*s
Suppose 3*x = 5*n - 22, -n + 2*x + 3 = -0*n. Let j(u) = u + 2*u - n*u + 4*u. Let l(m) = 986*m. Let w(a) = 21*a. Let z(s) = -4*l(s) + 187*w(s). What is j(z(y))?
-34*y
Let l(s) be the first derivative of -13*s**2/2 - 501. Suppose -5*b + 19 - 4 = 0. Let v(p) = -164 - b*p + 164. Calculate l(v(d)).
39*d
Let x(l) = 6966*l. Let h(b) = b + 2*b**2 - 53*b + 58*b - 6*
|
{
"pile_set_name": "DM Mathematics"
}
|
, 0 = -2*g + m + 10. Factor g*w**4 + 2*w**3 + w**3 + 0*w**3.
3*w**3*(w + 1)
Let k be (-3)/(-5) + (-358)/30. Let a = 12 + k. Factor 0 - 2/3*w**2 + a*w.
-2*w*(w - 1)/3
Let v be (0 + 1)/(1/2). Find w, given that -3*w**3 + 4*w + 8 - w**2 - 9*w**3 - 15*w**v = 0.
-1, 2/3
Suppose -2*q = q. Suppose q*s = 4*s. Let s - 2/3*n**5 + 0*n**3 + 4/3*n**2 + 2/3*n - 4/3*n**4 = 0. What is n?
-1, 0, 1
Let t(m) = -5*m**2 + 4*m + 3. Let h(z) = 13*z**2 - 3*z - 4. Let p(s) = 6*s**2 - 2*s - 2. Let x(i) = -2*h(i) + 5*p(i). Let j(u) = 2*t(u) + 3*x(u). Factor j(w).
2*w*(w - 2)
Let i be 4/5 - (-86)/(-120). Let h(r) be the third derivative of -1/60*r**6 + 0*r**3 + 2*r**2 + 0*r + i*r**4 + 0 + 0*r**5. Factor h(y).
-2*y*(y - 1)*(y + 1)
Let k(m) = 9*m**2 + 20*m + 57. Let u(v) = 8*v**2 + 20*v + 56. Let g(j) = 6*k(j) - 7*u(j). Factor g(w).
-2*(w + 5)**2
Let f(c) be the second derivative of c**7/11340 + c**6/1080 + c**5/270 - c**4/3 - c. Let m(u) be the third derivative of f(u). Factor m(k).
2*(k + 1)*(k + 2)/9
Let f(r) be the third derivative of 6*r**2 + 1/84*r**4 + 1/420*r**5 + 0*r + 0 + 1/42*r**3. Factor f(h).
(h + 1)**2/7
Let f(s) be the second derivative of -s**6/5 + s**5/5 + 7*s**4/6 + 2*s**3/3 - 15*s. Factor f(r).
-2*r*(r - 2)*(r + 1)*(3*r + 1)
Let m(u) = 4*u**3 + 5*u**2 - 7*u + 7. Let k(y) = 2*y**3 + 3*y**2 - 3*y + 3. Let h(t) = 14*k(t) - 6*m(t). Determine f, given that h(f) = 0.
-3, 0
Let u(v) = 65*v**3 - 5*v**2 - 35. Let z(m) = 11*m**3 - m**2 - 6. Let n(a) = -6*u(a) + 35*z(a). Factor n(g).
-5*g**2*(g + 1)
Let i = 24 + -23. Let y = 6 - i. Let 6/5*k + 6/5*k**4 - 2/5 - 2/5*k**y - 4/5*k**3 - 4/5*k**2 = 0. Calculate k.
-1, 1
Let k(c) be the first derivative of -c**6/10 + 9*c**5/10 - 13*c**4/4 + 6*c**3 - 6*c**2 + 5*c - 6. Let q(n) be the first derivative of k(n). Factor q(r).
-3*(r - 2)**2*(r - 1)**2
Find r, given that 3*r**5 - 84*r**4 - r**5 + 78*r**4 = 0.
0, 3
Find b such that -1/4*b**2 - 1/2 + 3/4*b = 0.
1, 2
Let d = -985 - -177301/180. Let q(t) be the third derivative of -d*t**5 + 0*t + 0*t**4 + 0 + 0*t**3 + 1/360*t**6 - t**2. Factor q(f).
f**2*(f - 1)/3
Let u(k) be the first derivative of -k**4/10 - 8*k**3/15 - 44. Factor u(d).
-2*d**2*(d + 4)/5
Solve -6*j + 14/5*j**2 + 18/5 - 2/5*j**3 = 0 for j.
1, 3
Suppose 13*z - 15 - 24 = 0. Let o(v) be the third derivative of 3/10*v**z + 1/300*v**5 + 3*v**2 + 0 - 1/20*v**4 + 0*v. What is t in o(t) = 0?
3
Factor 2*g**4 + 0 + 0*g**2 + 0*g - 4/3*g**3 - 2/3*g**5.
-2*g**3*(g - 2)*(g - 1)/3
Let o(s) = 23*s**2 - 25*s + 35. Let w(z) = -8*z**2 + 8*z - 12. Let g(m) = -4*o(m) - 11*w(m). Factor g(l).
-4*(l - 2)*(l - 1)
Find k such that -3/2 + 3/4*k**2 - 9/4*k**3 + 9/4*k + 3/4*k**4 = 0.
-1, 1, 2
Let o(j) be the second derivative of -j**4/4 - j**3 - 23*j. Factor o(a).
-3*a*(a + 2)
Let s(h) be the second derivative of 25*h**4/12 - 55*h**3/6 + 5*h**2 + 20*h. Factor s(d).
5*(d - 2)*(5*d - 1)
Let y(n) = 4*n**3 - 12*n**2 - 15*n - 9. Let m(s) = s**3 - s**2. Let j(a) = -5*m(a) + y(a). Determine f so that j(f) = 0.
-3, -1
Let l(z) be the third derivative of -z**5/60 + z**4/24 + 5*z**2. What is d in l(d) = 0?
0, 1
Let s(b) be the second derivative of 0*b**3 - 1/3*b**4 + 0 + 2*b + b**2 + 0*b**5 + 1/15*b**6. Suppose s(d) = 0. Calculate d.
-1, 1
Let v be 6/(-3) - (1 + -5). Factor -v*f**2 - f + 4 - 2*f + f.
-2*(f - 1)*(f + 2)
Let z = -11 - -26. Suppose m = -4*m + z. Solve 3*w**4 - 2*w**4 + w**2 + w**3 - 3*w**m = 0 for w.
0, 1
Suppose -4*d + 12 = -0*d. Suppose -6 = -3*a - d*z, 3*a = -2*z + 6 - 0. Find m, given that -2/9*m**3 + 0 + 8/9*m**a - 8/9*m = 0.
0, 2
Let g = -16 + 10. Let o be -1 + g/3 + 6. Factor -1 - 4*l - l**2 + 3*l + o.
-(l - 1)*(l + 2)
Factor 18/5 - 39/5*z - 3/5*z**3 + 24/5*z**2.
-3*(z - 6)*(z - 1)**2/5
Suppose -j = -3*j. What is h in -h**5 + 3*h**5 - h**5 + j*h**5 =
|
{
"pile_set_name": "DM Mathematics"
}
|
.2 - -3.8. Let d = 3.999928 - c. What is d rounded to 5 dps?
-0.00007
Let q = 0.08 + 0.002. Let j = 32.263 + -32.1. Let p = q - j. What is p rounded to two dps?
-0.08
Let u = -0.02 + 0.01. Let x = -0.01002 - u. Round x to 5 dps.
-0.00002
Let i = -14.99 + -0.01. Let n = i + 15.012. Round n to two dps.
0.01
Suppose 3*o - 388 = -x + 11, 9 = -3*o. Suppose x = 2*c + c. Suppose -c = w + 3*w. What is w rounded to the nearest 10?
-30
Let w = -0.72978 + 0.73. Round w to four decimal places.
0.0002
Suppose 11 = 5*m + 51. Let f(d) = 14*d**2 - 3*d**3 - 12*d + 6 + 7*d**3 - 6*d**2 + 2*d. Let l be f(m). What is l rounded to the nearest 100?
-1500
Let f = -0.66 - -0.26. Let k = 0.65 + f. Round k to one dp.
0.3
Suppose -1679449 = -2*m + 2320551. Round m to the nearest 100000.
2000000
Let s be (12750/20)/((-1)/(-800)). Round s to the nearest one hundred thousand.
500000
Let z = -4961 + 4961.05102. Let r = z + 160.77898. Let y = 160 - r. What is y rounded to one dp?
-0.8
Let y = -3.7 - 0.3. Let n = y + 4.0000072. Round n to 6 dps.
0.000007
Let t(m) = 149*m**3 - 3*m**2 - 3*m + 9. Let x be t(-4). Suppose 5*f - 22221 + 2906 = 0. Let o = f + x. What is o rounded to the nearest one thousand?
-6000
Let z = 1.2 - -16.5. Let g = z + -17.700091. What is g rounded to five decimal places?
-0.00009
Let u(m) = -6415*m**3 - 6*m**2 + 6*m - 9. Let d be u(-7). Round d to the nearest 100000.
2200000
Let i = 22.3 + -22.2999903. What is i rounded to six decimal places?
0.00001
Let h = 56 + -48.9. Let u = -5.65 + h. Round u to 1 decimal place.
1.5
Let y(i) = -i**3 - 7*i**2 - 7*i + 7. Let d be y(-6). Let q = 15 - d. What is q rounded to zero decimal places?
2
Let i(z) = -3235341*z**2 + z + 2. Let c be i(3). Let a = -9271273 - c. Let m = a - 13746791. Round m to the nearest 1000000.
6000000
Let j = -41 + 40.9943. Round j to three dps.
-0.006
Let q be 2/(-9) - (-6)/27. Let v be 2/(-3) + (-2)/(-3). Suppose q*b + 4*b - 500000 = v. Round b to the nearest ten thousand.
130000
Let y = -12353 - -17724. Let o be (2912/12)/((-4)/(-12)) - -1. Let s = y + o. What is s rounded to the nearest 1000?
6000
Let q = -2 + -57. Let o = q - -59.00000029. Round o to 7 decimal places.
0.0000003
Let j = -0.575968 + 0.586. Let o = -0.01 + j. What is o rounded to five dps?
0.00003
Let j = -10913755301.99949 - -10914109545. Let a = 354238 - j. Let t = a + 5. What is t rounded to 4 dps?
-0.0005
Let w(d) = -d**3 - 2*d**2 + 3*d. Let m be w(-3). Let x be m - -1 - (-5 - -4). Suppose 55 = -x*a - 3*t + 146, -2*a + 2*t + 116 = 0. Round a to the nearest 10.
50
Let b = 27.0000069 + -27. What is b rounded to six dps?
0.000007
Let h = 56 + -55.26. Let n = 0.608 - h. Round n to two decimal places.
-0.13
Let l(k) = k**3 + 9*k**2 - 10*k + 1. Let c be l(-10). Let r be (-3 - (c - 2)) + -26498. Let m be (22 + -2 + 0)*r. Round m to the nearest one hundred thousand.
-500000
Suppose -2*v + 12 = -3*f, -5*v + 17 = 2*f - 3*f. Let q be 0/((-2)/2 + v). Suppose 0*o - 3*o - 141 = q. Round o to the nearest ten.
-50
Suppose 2*c = a + 671 - 75, 4*c + 3*a - 1212 = 0. What is c rounded to the nearest one hundred?
300
Suppose -2*t - c + 22 = 140, -2*t = -4*c + 128. What is t rounded to the nearest 100?
-100
Let h = 0.0435251 - 3.0228591. Let f = h + -2.02066. Let a = f - -5. Round a to 6 decimal places.
0.000006
Let g = 9.297 + 57.433. Let i = -67 + g. Let k = i - -0.26945. Round k to 4 decimal places.
-0.0006
Let k = 0.486 + -0.8. Let y = k - -0.3. What is y rounded to 2 dps?
-0.01
Let j = 0.6 - 0.36. Let r = 0.24000068 - j. What is r rounded to 7 decimal places?
0.0000007
Let f = 14 - 9. Let z = f - 4.99999998. What is z rounded to seven dps?
0
Suppose 0*f + 12 = 3*f. Suppose f*x - 1560008 = 4*a, -2*x - 2*x = -a - 1560002. Round x to the nearest one hundred thousand.
400000
Let t(f) = f + 10. Let l be t(-7). Let v(d) = -2222*d**3 - 2*d - 3 + 3. Let b be v(l). What is b rounded to the nearest one hundred thousand?
-100000
Let k = 8.406 - 8.3. Let n = k + -0.10600077. What is n rounded to seven decimal places?
-0.0000008
Suppose 25200 = -3*k + 2*k. What is k rounded to the nearest 1000?
-25000
Let r = -1151500 - 1048500. What is r rounded to the nearest one million?
-2000000
Let i(t) = -t - 5 - 1 + 5. Let m(r) = 6*r + 7. Let u(a) = -21*i(a) - 3*m(a). Let c be u(-6). Round c to the nearest 10.
-20
Suppose -40 = 2*p - 4*p. Suppose 5*f + 2*w + 3540 = 0, -3*w = w - p. Round f to the nearest 100.
-700
Let g = 98.0000095 + -98. Round g to 6 decimal places.
0.00001
Let j be (-3)/(-1) - (-8 + 11). Suppose j = m + 398 - 4398. Round m to the nearest 10000.
0
Let x = 0.032 + -16.332. Let t = -1.3 - x. Let y = t - 14.99982. Round y to 4 dps.
0.0002
Let p(t) = -t**3 - t + 7899. Let y be p(0). Suppose -y = -2*l - 20299. Round l to the nearest 1000.
-6000
Let d(t) = -2*t + 178638. Let b be d(0). Suppose -3*k - 1362 = b. Round k to the nearest one
|
{
"pile_set_name": "DM Mathematics"
}
|
6, -64077, -113982, -178161?
-7137*w**2 + 54*w - 6
What is the r'th term of -15898, -16289, -16680, -17071, -17462, -17853?
-391*r - 15507
What is the y'th term of -53599, -53565, -53527, -53479, -53415?
y**3 - 4*y**2 + 39*y - 53635
What is the m'th term of 45, -781, -3527, -9153, -18619, -32885?
-160*m**3 + 294*m - 89
What is the g'th term of 2808542, 5617083, 8425626, 11234171, 14042718, 16851267, 19659818?
g**2 + 2808538*g + 3
What is the o'th term of -49676923, -99353852, -149030781, -198707710?
-49676929*o + 6
What is the g'th term of 356447, 711953, 1067459?
355506*g + 941
What is the d'th term of -1600, -12362, -41450, -98026, -191252?
-1527*d**3 - d**2 - 70*d - 2
What is the l'th term of 7911634, 15823270, 23734906, 31646542, 39558178?
7911636*l - 2
What is the o'th term of 604359, 2416135, 5435761, 9663237, 15098563, 21741739?
603925*o**2 + o + 433
What is the g'th term of 387981, 387782, 387447, 386976, 386369?
-68*g**2 + 5*g + 388044
What is the k'th term of -423418, -846827, -1270234, -1693639, -2117042?
k**2 - 423412*k - 7
What is the k'th term of 48635, 48658, 48703, 48776, 48883?
k**3 + 5*k**2 + k + 48628
What is the u'th term of -5001, -10078, -15373, -20994, -27049, -33646?
-18*u**3 - u**2 - 4948*u - 34
What is the z'th term of -1056779, -2113566, -3170353, -4227140, -5283927, -6340714?
-1056787*z + 8
What is the n'th term of 4523, 12683, 20843, 29003, 37163, 45323?
8160*n - 3637
What is the s'th term of 14394, 27866, 39504, 48390, 53606, 54234, 49356?
-153*s**3 + s**2 + 14540*s + 6
What is the q'th term of -1311523, -1311513, -1311497, -1311475, -1311447, -1311413, -1311373?
3*q**2 + q - 1311527
What is the j'th term of -6131, -6159, -6199, -6257, -6339, -6451?
-j**3 - 21*j - 6109
What is the l'th term of -1171835, -1171821, -1171807, -1171793, -1171779?
14*l - 1171849
What is the n'th term of 2771313, 2771314, 2771315, 2771316, 2771317, 2771318?
n + 2771312
What is the s'th term of -4471, -4924, -5371, -5812, -6247, -6676, -7099?
3*s**2 - 462*s - 4012
What is the n'th term of 8019, 6573, 2645, -5007, -17625, -36451?
-207*n**3 + n**2 + 8225
What is the g'th term of 5600099, 5600100, 5600101, 5600102, 5600103?
g + 5600098
What is the b'th term of 33246, 66596, 100152, 134016, 168290?
17*b**3 + b**2 + 33228*b
What is the u'th term of 476, 1026, 1506, 1886, 2136, 2226, 2126?
-5*u**3 - 5*u**2 + 600*u - 114
What is the g'th term of 82685, 165497, 248315, 331139, 413969, 496805, 579647?
3*g**2 + 82803*g - 121
What is the c'th term of 46081, 46093, 46137, 46213, 46321, 46461?
16*c**2 - 36*c + 46101
What is the c'th term of 190594, 190498, 190324, 190072?
-39*c**2 + 21*c + 190612
What is the k'th term of 184355684, 368711369, 553067054?
184355685*k - 1
What is the n'th term of -3066293, -6132589, -9198885, -12265181?
-3066296*n + 3
What is the d'th term of -156836, -156626, -156416?
210*d - 157046
What is the c'th term of -75522, -75555, -75588?
-33*c - 75489
What is the a'th term of 7351096, 7351098, 7351100, 7351102, 7351104?
2*a + 7351094
What is the d'th term of -4453785, -4453799, -4453829, -4453881, -4453961, -4454075, -4454229?
-d**3 - 2*d**2 - d - 4453781
What is the n'th term of 8997194, 8997176, 8997158, 8997140, 8997122, 8997104?
-18*n + 8997212
What is the q'th term of 2185, 3562, 5891, 9172, 13405, 18590?
476*q**2 - 51*q + 1760
What is the x'th term of 659424, 659421, 659422, 659427, 659436, 659449, 659466?
2*x**2 - 9*x + 659431
What is the b'th term of -829160, -829590, -830754, -833018, -836748, -842310, -850070, -860394?
-61*b**3 - b**2 - 829098
What is the v'th term of -3119, -14740, -34109, -61226, -96091, -138704, -189065?
-3874*v**2 + v + 754
What is the g'th term of -58192721, -116385455, -174578189, -232770923, -290963657?
-58192734*g + 13
What is the y'th term of -15111, -120870, -407919, -966900, -1888455?
-15107*y**3 - 3*y**2 - y
What is the g'th term of 710, 2206, 5238, 10574, 18982, 31230, 48086?
128*g**3 + 600*g - 18
What is the v'th term of 30779, 32107, 34277, 37253, 40999, 45479?
-6*v**3 + 457*v**2 - v + 30329
What is the t'th term of -2997366, -5995003, -8992628, -11990235, -14987818?
t**3 - 2997644*t + 277
What is the x'th term of -338425, -338437, -338463, -338509, -338581, -338685, -338827?
-x**3 - x**2 - 2*x - 338421
What is the z'th term of -190474368, -380948742, -571423116, -761897490, -95
|
{
"pile_set_name": "DM Mathematics"
}
|
-3014 + 3014. Solve a*b - x = -h*b for b.
3
Let q be (2 - 2)*69/(-207). Solve -6*f + 8*f - 10 = q for f.
5
Suppose 5*o - 4*l = 44 - 12, 4*l = -3*o. Suppose 4*q + 49 = 65. Solve -12 = -q*x + o for x.
4
Let u(n) = -2*n. Let a be u(-2). Suppose 5*h + 124 = 9*h + 5*l, -4*h + 3*l + 156 = 0. Suppose 5*s - 109 = -5*o + h, -5*s = 4*o - 120. Solve a*t + o = -t for t.
-5
Suppose 4 = 4*h - 2*v, 10 = h + v - 6*v. Suppose g + 5*t - 8 - 4 = 0, 3*t - 6 = h. Solve 0 = -g*n + 1 + 9 for n.
5
Let o(r) = 4*r - 5*r + 2*r. Let a(s) = 2*s + 6. Let z(l) = 3*a(l) - 3*o(l). Let g be z(-5). Solve -d = -g*d for d.
0
Let i = -22085 + 22346. Solve 93 = -24*c + i for c.
7
Let f = -1075 - -1101. Solve -f*y = -34*y + 24 for y.
3
Suppose -20 = 2*m + 2*m, -2*m - 31 = -3*d. Suppose -4*c + d*c = 12. Let i be 2 - (-4 + 0)/c. Solve i*w + 3 = -0 for w.
-1
Let l(h) = 4*h**3 - 5*h**2 + 4*h - 5. Let g be l(3). Suppose -g*v - 30 = -76*v. Suppose 0 = v*y + t, -t - 11 = -6. Solve y + 1 = -2*m for m.
-1
Let y(d) = -d**2 - 9*d - 15. Let u be y(-6). Suppose -9*x - 240 = u*x. Let n = x + 22. Solve -n*f - 6 + 0 = 0 for f.
-3
Suppose -n - 3 + 41 = 3*k, -n = 2*k - 27. Suppose -k = -0*a - a. Solve 0 = 7*c - a*c for c.
0
Suppose -2 = 2*v - 8. Suppose -v*l - i = 37, 35 - 8 = -2*l - 3*i. Let y be 1/4 + (-3)/l*-1. Solve y = -5*r - 2 - 3 for r.
-1
Suppose 7*m = -2*m - 7*m + 1280. Solve 86*z - m*z = 12 for z.
2
Let k be -301 + (63/(-7) - -7). Let n = k + 312. Solve 12*p = n*p for p.
0
Let q(c) = -c**3 - 5*c**2 + 12*c - 8. Suppose -4*p - 5*i = -18 + 31, -4*i + 19 = -p. Let h be q(p). Suppose -18 = -8*k + 5*k. Solve 4*j - h - k = 0 for j.
3
Suppose -2*t - 4 + 6 = -2*z, 4*t - 22 = -2*z. Let r(a) = -7*a + 112. Let g be r(15). Suppose t*k - 47 = -g. Solve 0 = 4*j + k - 2 for j.
-2
Let f = 359 + -217. Suppose f*x = 145*x. Solve x = -3*g - 6 - 6 for g.
-4
Suppose 2 = 3*f - 4*j, 3*f + 5*j - 7 = 4*j. Let v be -2 + -2 + (-1120)/(-70). Solve -c + v = f*c for c.
4
Suppose -82869 = -429*c + 4647. Solve -41*f - 10*f = -c for f.
4
Let z(f) = -94*f + 7263. Let d be z(64). Solve -13*l + 1338 = d for l.
7
Suppose 9 = 5*u - 16, 5*a - 2*u - 90 = 0. Solve 70 = 18*p - a for p.
5
Let m be ((-25)/225)/((-9)/162). Solve 57 = m*h + 53 for h.
2
Let c be -3 + -3*((-4)/(-4) + -4). Suppose 0 = -5*t + 3*d + d + 16, t + 3*d + 12 = 0. Solve t = -y + 7 - c for y.
1
Let w(g) = g**2 + 12*g + 38. Suppose -2*o = -2*u - 14, 3*u - 5*o = 8 - 27. Let d be w(u). Solve 7*p + d = 9*p for p.
3
Let k be 76891/51 + 56/(-21). Solve -k = 3*h - 1526 for h.
7
Let y be (-2 + 4*(-4)/(-16))/(-1). Let w be (-1)/(y*2/(-22)). Solve w - 7 = 4*g for g.
1
Suppose 49*t - 54*t + 3*x + 183 = 0, 5*t = 2*x + 177. Solve 37*n = 48*n + t for n.
-3
Let z(k) = -3*k + 2. Suppose -8*y = -2*y. Let m be z(y). Suppose -2*d + 10 = -5*h, -2*d - h = -5*d + m. Solve d = 2*o + 3*o + 15 for o.
-3
Suppose 0 = -5*z - 3*g + 57, 2*g - 9 = z + 6*g. Solve z*n = 28*n - 39 for n.
3
Let k(a) = -a - 8. Let h be k(-7). Let d be (8 - h)*(-10)/(-30). Suppose s = -d*y - 1, 4*y = -s - 0*y - 3. Solve 4*n = s + 11 for n.
4
Let c(s) = -s**3 + 9*s**2 - 8*s + 10. Let x be c(6). Suppose 2*z + x = 80. Solve -z + 14 = 3*o for o.
3
Let w = 3416 - 3400. Solve 0 = -15*x + w - 46 for x.
-2
Let g = 24970 + -24940. Solve -174 + 264 = g*r for r.
3
Suppose -5*m = 2*u - 22, -3*u + 3*m = -7*u + 16. Let c(g) = 4*g - 26. Let x be c(7). Solve -u = y - x*y for y.
1
Let b(z) = -4*z + 12. Let u be b(7). Let t be (3/((-42)/u))/(42/147). Suppose -m + 4*x = 7 - 25, t*x + 16 = 0. Solve -4*d = -m*d + 10 for d.
-5
Let w(j) = -177*j - 29. Let z be w(-2). Suppose 0 = -317*p + z*p - 56. Solve -p*k = 3*k + 30 for k.
-3
Suppose 0 = -2*n - 8, 0*h - 14 = 3*h + 5*n. Suppose 0 = -h*s - 5 + 9. Solve m = s*m for m.
0
Suppose 42 = -6*w - 42. Let s be 2 + 48/(-28) + 4/w. Suppose -c + 1 = -s. Solve 4 = i - c for i.
5
Suppose 0 = 5*s - 7*t + 2*t - 25, -3*s - 4*t - 20 = 0. Suppose -6*b + 12 + s = 0. Let w be 2/3 + 64/(-96). Solve w = b*m + m for m.
0
Let t(p) = p**3 - 10*p**2 + 2*p - 20. Let l be t(10). Let s(x) = -5*x + 2.
|
{
"pile_set_name": "DM Mathematics"
}
|
nd 10:15 AM?
672
What is 135 minutes after 1:08 AM?
3:23 AM
What is 209 minutes after 5:27 PM?
8:56 PM
How many minutes are there between 2:47 AM and 6:59 AM?
252
How many minutes are there between 8:58 PM and 3:11 AM?
373
How many minutes are there between 11:33 AM and 10:48 PM?
675
How many minutes are there between 7:20 AM and 7:15 PM?
715
How many minutes are there between 3:55 AM and 5:02 AM?
67
How many minutes are there between 1:24 AM and 1:19 PM?
715
How many minutes are there between 6:08 AM and 6:58 AM?
50
What is 689 minutes after 3:36 PM?
3:05 AM
How many minutes are there between 7:50 PM and 2:59 AM?
429
How many minutes are there between 3:31 AM and 5:28 AM?
117
What is 581 minutes before 9:59 AM?
12:18 AM
What is 44 minutes after 6:08 AM?
6:52 AM
What is 194 minutes after 12:50 PM?
4:04 PM
How many minutes are there between 8:41 AM and 5:36 PM?
535
What is 121 minutes after 12:31 PM?
2:32 PM
What is 186 minutes after 2:24 PM?
5:30 PM
What is 154 minutes after 2:34 PM?
5:08 PM
What is 398 minutes before 4:35 PM?
9:57 AM
How many minutes are there between 4:50 AM and 12:29 PM?
459
How many minutes are there between 10:30 AM and 7:39 PM?
549
How many minutes are there between 12:52 PM and 1:25 PM?
33
How many minutes are there between 2:03 AM and 10:15 AM?
492
How many minutes are there between 12:40 AM and 3:35 AM?
175
What is 69 minutes after 1:32 AM?
2:41 AM
How many minutes are there between 9:34 AM and 4:32 PM?
418
How many minutes are there between 5:01 PM and 10:55 PM?
354
How many minutes are there between 2:01 AM and 10:59 AM?
538
What is 599 minutes after 8:13 AM?
6:12 PM
How many minutes are there between 1:52 AM and 11:59 AM?
607
How many minutes are there between 7:10 PM and 1:54 AM?
404
What is 264 minutes after 9:37 PM?
2:01 AM
How many minutes are there between 5:58 AM and 1:58 PM?
480
How many minutes are there between 6:53 PM and 5:05 AM?
612
What is 491 minutes before 12:26 AM?
4:15 PM
What is 685 minutes before 4:33 PM?
5:08 AM
What is 9 minutes before 6:03 AM?
5:54 AM
What is 616 minutes after 9:28 PM?
7:44 AM
How many minutes are there between 10:20 AM and 1:31 PM?
191
How many minutes are there between 4:55 AM and 11:20 AM?
385
What is 6 minutes before 4:01 PM?
3:55 PM
How many minutes are there between 11:20 PM and 1:20 AM?
120
What is 52 minutes after 9:39 AM?
10:31 AM
What is 130 minutes before 12:29 AM?
10:19 PM
What is 291 minutes before 5:29 AM?
12:38 AM
What is 366 minutes before 4:59 AM?
10:53 PM
How many minutes are there between 5:32 PM and 7:03 PM?
91
How many minutes are there between 1:41 AM and 6:39 AM?
298
What is 697 minutes before 10:23 AM?
10:46 PM
How many minutes are there between 6:25 AM and 5:26 PM?
661
How many minutes are there between 1:49 PM and 1:44 AM?
715
How many minutes are there between 2:18 AM and 12:34 PM?
616
What is 689 minutes before 8:44 PM?
9:15 AM
How many minutes are there between 3:50 AM and 11:58 AM?
488
How many minutes are there between 11:55 PM and 12:34 AM?
39
What is 611 minutes after 11:42 PM?
9:53 AM
What is 578 minutes before 11:43 PM?
2:05 PM
What is 625 minutes after 10:44 AM?
9:09 PM
How many minutes are there between 1:19 PM and 8:22 PM?
423
What is 39 minutes after 12:07 PM?
12:46 PM
What is 662 minutes after 4:59 AM?
4:01 PM
What is 128 minutes after 6:29 AM?
8:37 AM
What is 584 minutes before 9:55 PM?
12:11 PM
How many minutes are there between 7:32 PM and 10:05 PM?
153
What is 472 minutes before 3:10 AM?
7:18 PM
What is 491 minutes after 8:49 PM?
5:00 AM
What is 448 minutes before 7:30 PM?
12:02 PM
How many minutes are there between 6:38 PM and 2:30 AM?
472
How many minutes are there between 12:49 PM and 10:41 PM?
592
How many minutes are there between 4:55 AM and 9:07 AM?
252
How many minutes are there between 8:22 PM and 8:36 PM?
14
How many minutes are there between 12:44 AM and 7:47 AM?
423
What is 508 minutes before 6:13 AM?
9:45 PM
What is 63 minutes before 1:30 AM?
12:27 AM
What is 152 minutes before 11:25 AM?
8:53 AM
How many minutes are there between 1:04 PM and 10:03 PM?
539
What is 558 minutes after 2:55 AM?
12:13 PM
How many minutes are there between 5:15 AM and 12:52 PM?
457
How many minutes are there between 1:04 AM and 2:00 AM?
56
How many minutes are there between 3:54 PM and 1:06 AM?
552
How many minutes are there between 6:31 AM and 12:13 PM?
342
What is 144 minutes before 6:36 AM?
4:12 AM
What is 652 minutes after 12:08 AM?
11:00 AM
How many minutes are there between 9:03 AM and 10:41 AM?
98
How many minutes are there between 3:23 AM and 11:09 AM?
466
How many minutes are there between 9:29 AM and 10:32 AM?
63
How many minutes are there between 1:54 AM and 2:57 AM?
63
What is 156 minutes after 3:40 AM?
6:16 AM
What is 657 minutes before 3:38 PM?
4:41 AM
How many minutes are there between 1:57 PM and 3:26 PM?
89
How many minutes are there between 1:59 PM and 5:55 PM?
236
How many minutes are there between 11:54 AM and 11:40 PM?
706
What is 672 minutes before 8:02 PM?
8:50 AM
What is 558 minutes before 7:59 AM?
10:41 PM
What is 588 minutes after 1:06 PM?
10:54 PM
How many minutes are there between 2:34 AM and 4:49 AM?
135
How many minutes are there between 2:22 AM and 6:48 AM?
266
What is 453 minutes before 3:17 PM?
7:44 AM
What is 296 minutes after 5:39 AM?
10:35 AM
How many minutes are there between 12:13 PM and 5:13 PM?
300
What is 289 minutes before 9:01 AM?
4:12 AM
How many minutes are there between 8:30 PM and 10:30 PM?
120
What is 636 minutes before 10:41 AM?
12:05 AM
How many minutes are there between 10:07 PM and 9:57 AM?
710
What is 473 minutes before 10:03 PM?
2:10 PM
What is 173 minutes before 8:20 AM?
5:27 AM
How many minutes are there between 8:03 PM and 1:21 AM?
318
What is 700 minutes before 4:20 PM?
4:40 AM
How many minutes are there between 4:15 PM and 2:43 AM?
628
How many minutes are there between 2:41 PM and 12:51 AM?
610
What is 170 minutes after 10:23 AM?
1:13 PM
What is 644 minutes before 8:54 PM?
10:10 AM
What is 39 minutes before 4:43 AM?
4:04 AM
What is 400 minutes before 3:10 AM?
8:30 PM
What is 353 minutes after 12:
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the remainder when 581300 is divided by 5644?
5612
Calculate the remainder when 99388589 is divided by 6.
5
Calculate the remainder when 4110953 is divided by 101.
51
What is the remainder when 180649 is divided by 3229?
3054
What is the remainder when 1043701 is divided by 3574?
93
Calculate the remainder when 386198 is divided by 9166.
1226
What is the remainder when 16968 is divided by 8472?
24
What is the remainder when 170706 is divided by 10029?
213
What is the remainder when 26335936 is divided by 552?
16
What is the remainder when 655841113 is divided by 10265?
10263
Calculate the remainder when 34110 is divided by 11249.
363
What is the remainder when 459619 is divided by 331?
191
Calculate the remainder when 564702 is divided by 187171.
3189
What is the remainder when 1296223 is divided by 145?
68
What is the remainder when 622044 is divided by 32720?
364
What is the remainder when 105300 is divided by 35078?
66
Calculate the remainder when 1996951 is divided by 166356.
679
Calculate the remainder when 199337 is divided by 845.
762
Calculate the remainder when 90967191 is divided by 1076.
1075
What is the remainder when 2700487 is divided by 675082?
159
What is the remainder when 541024 is divided by 366?
76
Calculate the remainder when 6102689 is divided by 1281.
5
Calculate the remainder when 2116930 is divided by 641.
348
Calculate the remainder when 633650 is divided by 105097.
3068
What is the remainder when 103141 is divided by 427?
234
What is the remainder when 1165264 is divided by 16?
0
Calculate the remainder when 476179 is divided by 1011.
1009
What is the remainder when 136595412 is divided by 136595386?
26
What is the remainder when 330615 is divided by 330335?
280
Calculate the remainder when 482034780 is divided by 154.
150
Calculate the remainder when 49947280 is divided by 21792.
16
What is the remainder when 858398 is divided by 1181?
992
What is the remainder when 7771128 is divided by 582?
264
What is the remainder when 226843 is divided by 827?
245
What is the remainder when 428447 is divided by 142769?
140
Calculate the remainder when 36144969 is divided by 18072468.
33
What is the remainder when 138160 is divided by 1586?
178
Calculate the remainder when 22822022 is divided by 274.
14
Calculate the remainder when 41257458 is divided by 13752484.
6
Calculate the remainder when 145213 is divided by 1091.
110
Calculate the remainder when 5526333 is divided by 106.
23
Calculate the remainder when 1065842 is divided by 7012.
18
Calculate the remainder when 89978 is divided by 22.
20
Calculate the remainder when 82854798 is divided by 175.
173
Calculate the remainder when 6470351 is divided by 920.
911
Calculate the remainder when 28919579 is divided by 4187.
4157
Calculate the remainder when 2577796 is divided by 30.
16
Calculate the remainder when 7839801 is divided by 30505.
16
What is the remainder when 318726 is divided by 866?
38
Calculate the remainder when 2350705 is divided by 783484.
253
Calculate the remainder when 43830299 is divided by 166.
157
What is the remainder when 2136308 is divided by 802?
582
What is the remainder when 30679545 is divided by 444631?
6
Calculate the remainder when 352264 is divided by 16011.
22
What is the remainder when 7332 is divided by 3016?
1300
Calculate the remainder when 654071 is divided by 474.
425
What is the remainder when 60052297 is divided by 7506534?
25
What is the remainder when 214373 is divided by 21425?
123
What is the remainder when 24353132 is divided by 2843?
2837
What is the remainder when 107879 is divided by 3?
2
What is the remainder when 193628 is divided by 1296?
524
Calculate the remainder when 95491 is divided by 6364.
31
What is the remainder when 1471488 is divided by 93?
42
What is the remainder when 23376923 is divided by 1242?
1241
Calculate the remainder when 2964895 is divided by 1.
0
What is the remainder when 1094593 is divided by 1094547?
46
Calculate the remainder when 28322248 is divided by 353.
352
Calculate the remainder when 41071950 is divided by 12795.
0
Calculate the remainder when 790449 is divided by 982.
921
What is the remainder when 132092 is divided by 755?
722
What is the remainder when 291788 is divided by 97210?
158
Calculate the remainder when 161914 is divided by 1797.
184
What is the remainder when 5424516 is divided by 22?
20
What is the remainder when 1419861 is divided by 949?
157
What is the remainder when 3780438 is divided by 87917?
7
What is the remainder when 10608626 is divided by 26?
2
What is the remainder when 9801592 is divided by 13?
8
Calculate the remainder when 173727 is divided by 4963.
22
Calculate the remainder when 110062 is divided by 12143.
775
What is the remainder when 26364 is divided by 917?
688
Calculate the remainder when 207076 is divided by 12772.
2724
What is the remainder when 258567 is divided by 113?
23
What is the remainder when 78006 is divided by 38651?
704
What is the remainder when 26525 is divided by 2988?
2621
What is the remainder when 576526 is divided by 1052?
30
Calculate the remainder when 336003 is divided by 1615.
83
What is the remainder when 9786952 is divided by 4893442?
68
Calculate the remainder when 1971910 is divided by 39438.
10
Calculate the remainder when 71751 is divided by 1845.
1641
Calculate the remainder when 286978689 is divided by 35872335.
9
Calculate the remainder when 12815198 is divided by 27.
26
Calculate the remainder when 113969180 is divided by 74636.
8
What is the remainder when 84212 is divided by 42022?
168
What is the remainder when 101250811 is divided by 33750264?
19
What is the remainder when 797227 is divided by 357?
46
What is the remainder when 1339047 is divided by 2787?
1287
What is the remainder when 108019 is divided by 107541?
478
What is the remainder when 10589325 is divided by 104?
45
Calculate the remainder when 12760820 is divided by 6784.
116
What is the remainder when 37521932 is divided by 155?
152
What is the remainder when 727522 is divided by 72745?
72
Calculate the remainder when 662992502 is divided by 4.
2
Calculate the remainder when 147398 is divided by 4041.
1922
Calculate the remainder when 163326 is divided by 1350.
1326
What is the remainder when 35301438 is divided by 37?
34
Calculate the remainder when 717565 is divided by 358729.
107
Calculate the remainder when 5421348 is divided by 120474.
18
What is the remainder when 44344302 is divided by 22172142?
18
Calculate the remainder when 46539813 is divided by 20.
13
What is the remainder when 2780518769 is divided by 15?
14
Calculate the remainder when 1517072776 is divided by 169.
167
What is the remainder when 393748 is divided by 56166?
586
Calculate the remainder when 6477005 is divided by 68903.
123
Calculate the remainder when 765744 is divided by 11424.
336
What is the remainder when 1341327 is divided by 1618?
5
What is the remainder when 82735171 is divided by 1426468?
27
What is the remainder when 1460696 is divided by 572?
380
Calculate the remainder when 16039050 is divided by 66552.
18
Calculate the remainder when 5783536 is divided by 262885.
66
What is the remainder when 1060840 is divided by 194?
48
Calculate the remainder when 3398196 is divided by 166.
10
What is the remainder when 3323053 is divided by 6880?
13
Calculate the remainder when 359684 is divided by 4227.
389
Calculate the remainder when 1081919 is divided by 368.
367
|
{
"pile_set_name": "DM Mathematics"
}
|
(-84)/(-60) - (-15)/25 - 4/4. Suppose -1/6*o**2 - 5/6*o + q = 0. Calculate o.
-6, 1
Suppose -9 - 79 = -22*x. Let b = 75 + -52. Suppose -7*g**x - 15*g**2 + 2*g**4 + 20 - 3*g + 23*g - b*g**3 + 3*g**3 = 0. Calculate g.
-2, -1, 1
Let q(m) be the first derivative of 33*m**4/14 - 62*m**3/21 - 200*m**2/7 - 24*m/7 - 3465. Find g such that q(g) = 0.
-2, -2/33, 3
Suppose -26*x = -28*x. Suppose 15*v - 43*v + 56 = x. Factor 1/5*r**v - 14/5*r + 49/5.
(r - 7)**2/5
Let t(f) be the third derivative of f**7/945 + f**6/540 - 23*f**5/270 + f**4/36 + 10*f**3/3 + 2*f**2 + 92*f. Factor t(b).
2*(b - 3)**2*(b + 2)*(b + 5)/9
Suppose -301735 - 117*m**2 + 1044704 + 121*m**2 + 2489835 + 7192*m = 0. What is m?
-899
Let a be ((-648)/96)/((-1)/8). Factor 3 + a*h**2 - 9*h**2 + 125*h - 37 + 4.
5*(h + 3)*(9*h - 2)
Let p = -88090 - -88090. Factor p + 2/5*d**2 - 8/5*d.
2*d*(d - 4)/5
Factor -2019/2 + 3/2*h**2 - 1008*h.
3*(h - 673)*(h + 1)/2
Let u(f) be the first derivative of f**6/3 + 32*f**5/5 - 48*f**4 + 364*f**3/3 - 145*f**2 + 84*f - 2833. Find n such that u(n) = 0.
-21, 1, 2
Let a(c) = 15*c**3 - 192*c**2 - 1323*c - 2070. Let u(r) = 23*r**3 - 288*r**2 - 1985*r - 3106. Let n(k) = 14*a(k) - 9*u(k). Factor n(v).
3*(v - 38)*(v + 3)**2
Let v be (-3349)/(-110517)*(4/14 + 57/21). Factor v*t**3 + 0 + 12/11*t**2 + 36/11*t.
t*(t + 6)**2/11
Let n(d) = -5*d - 28. Suppose -2*h + 4*h + 3*k = 0, -2*h + 4*k - 28 = 0. Let o be n(h). What is z in -2/9*z**o - 50/9 + 20/9*z = 0?
5
Let b = 276 - 274. Let 3*s**b + 62*s**2 + 25*s + 40*s**2 + 20*s**3 = 0. Calculate s.
-5, -1/4, 0
Factor 31*z + 41*z**2 - 287*z**3 + 286*z**3 - 30*z + 36*z**2 - 77.
-(z - 77)*(z - 1)*(z + 1)
Suppose x + 3*z = 39, 5*x - 195 = -3*z + 2*z. Factor -86*g**2 + 100*g - 94 - 26 + 37*g**2 + x*g**2 - 5*g**3.
-5*(g - 2)**2*(g + 6)
Let g = -45 + -5. Let b = g - -52. Factor 5*j**b - j**2 - 4*j - 10 + 2.
4*(j - 2)*(j + 1)
What is w in -250563/2*w**2 - 254031/4*w**3 - 3/4*w**5 - 435*w**4 + 0 + 0*w = 0?
-289, -2, 0
Suppose 46/9*b**3 + 0*b + 10/3*b**2 + 4/3*b**4 + 0 = 0. What is b?
-3, -5/6, 0
Suppose 0 - 2/7*s**2 - 118/7*s = 0. What is s?
-59, 0
Let x be 32/12*(-33)/(-4). Let h = x - 19. Solve -d - h + 10*d**2 + 3 - 11*d**2 + 2 = 0.
-2, 1
Let z(m) be the second derivative of -1/10*m**6 - 21/20*m**5 - 2 + 8*m**3 - 25*m - 2*m**4 + 0*m**2. Let z(a) = 0. What is a?
-4, 0, 1
Suppose 2*d = 6*b - 8*b + 4, 3*b - 10 = -4*d. Suppose -14*p = -12*p - d. What is x in -46*x + 20*x**4 - 10 + 5*x**5 + 20*x**3 + 5*x - 10*x**p + 16*x = 0?
-2, -1, 1
Let h be (-6)/(-14)*11/(-55)*-35. Let y(r) be the second derivative of 0 + 5/4*r**4 - 5/6*r**h + r + 0*r**2. Factor y(m).
5*m*(3*m - 1)
Let q(m) be the first derivative of -27*m**3 + 0*m**4 + 0*m + 3/5*m**5 - 81*m**2 + 50. Suppose q(o) = 0. What is o?
-3, 0, 6
Let n = 2 - 0. Factor 46 - 30 - x**2 + 12*x - 3*x**n.
-4*(x - 4)*(x + 1)
Let r be 6/10 - (-4635)/(-5850). Let f = -1/26 - r. Factor -2/13*a**3 + 2/13*a**4 - 2/13*a**2 + 0 + f*a.
2*a*(a - 1)**2*(a + 1)/13
Let -16311*v**2 + 226 + 99 + 15901*v**2 + 85*v**4 + 3*v + 25*v + 207*v - 230*v**3 - 5*v**5 = 0. Calculate v.
-1, 1, 5, 13
Factor -4/3*j**5 - 496/3*j**4 + 0 - 295856/3*j**2 - 6888*j**3 - 275684/3*j.
-4*j*(j + 1)*(j + 41)**3/3
Let q = 31377/8380 + 12/2095. Let 0 + 3/4*t**5 - 9/4*t**3 - 3/2*t - 3/4*t**4 + q*t**2 = 0. Calculate t.
-2, 0, 1
Let w(r) = r**4 - r**3 + 8*r**2 + r + 1. Let g(y) = 10*y**4 - 22*y**3 + 99*y**2 + 106*y + 65. Let n(m) = 2*g(m) - 18*w(m). Let n(b) = 0. Calculate b.
-1, 7, 8
Suppose -33*i + 11*i = 28798. Let t = i + 1314. Factor 0*f + 0*f**3 - 4/3*f**t + 0 + 0*f**2 - 4/3*f**4.
-4*f**4*(f + 1)/3
Determine p, given that 98/11*p**2 + 1480/11 - 928/11*p - 2/11*p**3 = 0.
2, 10, 37
Let w(r) be the second derivative of -r**7/21 + r**6/15 + r**5/10 - r**4/6 - 2*r - 523. Factor w(q).
-2*q**2*(q - 1)**2*(q + 1)
Let q be ((-1)/(-5))/(25/1600
|
{
"pile_set_name": "DM Mathematics"
}
|
es after 8:25 AM?
11:01 AM
How many minutes are there between 2:09 PM and 4:54 PM?
165
What is 508 minutes after 8:54 PM?
5:22 AM
What is 670 minutes after 2:50 PM?
2:00 AM
What is 646 minutes after 3:18 AM?
2:04 PM
What is 627 minutes after 2:32 PM?
12:59 AM
How many minutes are there between 2:03 PM and 7:08 PM?
305
What is 172 minutes before 5:42 PM?
2:50 PM
How many minutes are there between 7:06 PM and 11:16 PM?
250
How many minutes are there between 3:37 PM and 11:45 PM?
488
What is 677 minutes after 6:14 PM?
5:31 AM
How many minutes are there between 6:08 AM and 9:00 AM?
172
How many minutes are there between 5:31 PM and 3:01 AM?
570
How many minutes are there between 4:06 PM and 10:22 PM?
376
What is 705 minutes after 11:38 AM?
11:23 PM
How many minutes are there between 11:06 PM and 7:19 AM?
493
How many minutes are there between 5:30 PM and 8:10 PM?
160
How many minutes are there between 11:50 AM and 10:14 PM?
624
How many minutes are there between 1:49 PM and 12:56 AM?
667
How many minutes are there between 6:09 AM and 2:03 PM?
474
How many minutes are there between 3:47 PM and 6:48 PM?
181
How many minutes are there between 10:47 PM and 6:15 AM?
448
What is 126 minutes before 10:44 AM?
8:38 AM
How many minutes are there between 1:33 PM and 2:35 PM?
62
What is 67 minutes after 10:12 PM?
11:19 PM
What is 323 minutes after 12:12 AM?
5:35 AM
How many minutes are there between 9:56 PM and 10:36 PM?
40
What is 552 minutes before 2:51 AM?
5:39 PM
What is 67 minutes after 12:03 PM?
1:10 PM
What is 406 minutes before 11:40 PM?
4:54 PM
What is 420 minutes before 1:07 AM?
6:07 PM
How many minutes are there between 2:23 PM and 7:15 PM?
292
How many minutes are there between 7:09 PM and 12:13 AM?
304
What is 167 minutes after 8:25 AM?
11:12 AM
How many minutes are there between 4:41 AM and 9:01 AM?
260
What is 520 minutes after 6:32 AM?
3:12 PM
What is 539 minutes before 5:38 AM?
8:39 PM
What is 354 minutes before 1:59 AM?
8:05 PM
What is 677 minutes before 1:10 AM?
1:53 PM
What is 10 minutes before 3:37 PM?
3:27 PM
What is 470 minutes before 3:49 AM?
7:59 PM
What is 402 minutes after 7:28 PM?
2:10 AM
What is 592 minutes after 1:59 PM?
11:51 PM
What is 203 minutes after 3:08 PM?
6:31 PM
How many minutes are there between 6:33 PM and 10:57 PM?
264
What is 88 minutes before 6:14 PM?
4:46 PM
How many minutes are there between 3:12 AM and 12:24 PM?
552
What is 592 minutes before 10:49 PM?
12:57 PM
What is 492 minutes after 7:59 PM?
4:11 AM
How many minutes are there between 1:59 AM and 6:52 AM?
293
What is 503 minutes after 4:11 PM?
12:34 AM
What is 53 minutes after 12:04 AM?
12:57 AM
What is 110 minutes before 3:20 AM?
1:30 AM
What is 50 minutes before 2:43 PM?
1:53 PM
How many minutes are there between 8:35 PM and 11:31 PM?
176
What is 456 minutes after 5:14 AM?
12:50 PM
How many minutes are there between 9:09 PM and 9:50 PM?
41
What is 159 minutes before 4:05 AM?
1:26 AM
What is 538 minutes after 7:46 AM?
4:44 PM
How many minutes are there between 6:27 PM and 5:47 AM?
680
How many minutes are there between 6:37 PM and 5:44 AM?
667
What is 53 minutes after 4:47 PM?
5:40 PM
How many minutes are there between 11:55 AM and 2:31 PM?
156
What is 313 minutes after 11:34 PM?
4:47 AM
What is 331 minutes before 3:40 PM?
10:09 AM
What is 97 minutes after 1:35 PM?
3:12 PM
What is 618 minutes after 9:52 AM?
8:10 PM
What is 468 minutes after 1:47 PM?
9:35 PM
What is 36 minutes after 2:49 PM?
3:25 PM
What is 249 minutes before 9:24 AM?
5:15 AM
What is 302 minutes before 5:31 AM?
12:29 AM
How many minutes are there between 5:03 PM and 9:17 PM?
254
How many minutes are there between 7:56 AM and 10:51 AM?
175
What is 443 minutes after 5:39 PM?
1:02 AM
What is 582 minutes before 8:34 PM?
10:52 AM
How many minutes are there between 1:53 AM and 12:29 PM?
636
How many minutes are there between 11:18 PM and 3:57 AM?
279
What is 416 minutes before 2:05 PM?
7:09 AM
How many minutes are there between 4:36 AM and 12:15 PM?
459
What is 490 minutes after 10:55 AM?
7:05 PM
How many minutes are there between 4:16 AM and 9:02 AM?
286
What is 517 minutes before 7:38 PM?
11:01 AM
How many minutes are there between 6:13 AM and 11:09 AM?
296
How many minutes are there between 8:21 AM and 6:12 PM?
591
What is 414 minutes after 8:28 PM?
3:22 AM
What is 292 minutes before 3:50 AM?
10:58 PM
How many minutes are there between 7:50 PM and 4:14 AM?
504
How many minutes are there between 4:48 PM and 10:43 PM?
355
How many minutes are there between 1:55 AM and 8:55 AM?
420
What is 44 minutes before 4:37 AM?
3:53 AM
What is 539 minutes after 4:46 AM?
1:45 PM
What is 664 minutes before 8:25 AM?
9:21 PM
What is 514 minutes before 8:58 AM?
12:24 AM
How many minutes are there between 9:36 PM and 9:26 AM?
710
What is 4 minutes before 11:28 PM?
11:24 PM
How many minutes are there between 10:19 AM and 5:31 PM?
432
How many minutes are there between 11:10 PM and 3:01 AM?
231
How many minutes are there between 5:55 PM and 4:47 AM?
652
How many minutes are there between 4:21 PM and 6:02 PM?
101
How many minutes are there between 8:27 PM and 7:34 AM?
667
How many minutes are there between 8:36 PM and 10:06 PM?
90
How many minutes are there between 3:09 AM and 6:01 AM?
172
What is 120 minutes after 1:44 AM?
3:44 AM
How many minutes are there between 12:12 AM and 3:16 AM?
184
What is 251 minutes before 8:21 PM?
4:10 PM
How many minutes are there between 4:01 AM and 11:40 AM?
459
What is 366 minutes before 5:56 PM?
11:50 AM
What is 685 minutes after 8:42 AM?
8:07 PM
What is 353 minutes before 5:31 AM?
11:38 PM
How many minutes are there between 10:02 PM and 8:41 AM?
639
How many minutes are there between 1:08 AM and 2:45 AM?
97
What is 110 minutes after 2:13 PM?
4:03 PM
How many minutes are there between 7:51 PM and 3:56 AM?
485
How many minutes are there between 9:24 PM and 2:46 AM?
322
How many minutes are there between 10:57 PM and 11:53 PM?
56
What is 669 minutes after 5:08 AM?
4:17 PM
How many minutes are there between 7:30 AM and 9:27 AM?
117
What is 128 minutes before
|
{
"pile_set_name": "DM Mathematics"
}
|
und 0.16491 to 2 decimal places.
0.16
Round -235100000 to the nearest 1000000.
-235000000
What is -419900 rounded to the nearest 100000?
-400000
What is 0.000000302 rounded to 7 decimal places?
0.0000003
What is 0.0042245 rounded to 4 decimal places?
0.0042
What is 0.00037835 rounded to six dps?
0.000378
Round 0.0000065857 to seven dps.
0.0000066
What is -540600 rounded to the nearest 100000?
-500000
Round 9.0757 to zero dps.
9
What is -0.02786 rounded to two dps?
-0.03
Round -4844400 to the nearest 100000.
-4800000
What is 43.63 rounded to the nearest 10?
40
Round -1300.16 to the nearest one hundred.
-1300
Round -0.00019865 to 6 decimal places.
-0.000199
Round -1.6863 to 2 decimal places.
-1.69
What is -0.0000554 rounded to 6 decimal places?
-0.000055
Round -0.000006175 to six decimal places.
-0.000006
Round 5.295 to one dp.
5.3
Round 133820 to the nearest 1000.
134000
Round 25 to the nearest 10.
30
Round -312800 to the nearest 100000.
-300000
Round 0.025831 to four decimal places.
0.0258
What is 121000 rounded to the nearest 10000?
120000
Round -0.00000050496 to seven dps.
-0.0000005
Round 6170 to the nearest one hundred.
6200
Round 915.52 to the nearest integer.
916
What is -6720 rounded to the nearest one hundred?
-6700
What is 57457 rounded to the nearest ten thousand?
60000
What is -18.82 rounded to zero dps?
-19
Round 0.0000057036 to 6 decimal places.
0.000006
What is -0.00046146 rounded to 5 decimal places?
-0.00046
What is 158.62 rounded to the nearest 10?
160
Round -2604500 to the nearest ten thousand.
-2600000
What is -11427000 rounded to the nearest 1000000?
-11000000
Round -1582 to the nearest 10.
-1580
What is -0.002258 rounded to 2 dps?
0
What is 0.00001308 rounded to 6 decimal places?
0.000013
What is 155840 rounded to the nearest 1000?
156000
What is 0.000048677 rounded to 5 decimal places?
0.00005
Round -0.0010634 to 4 dps.
-0.0011
What is -7936000 rounded to the nearest 100000?
-7900000
Round -0.011989 to four dps.
-0.012
What is 1.9244 rounded to zero decimal places?
2
Round -4606.2 to the nearest 100.
-4600
What is -0.15689 rounded to 2 dps?
-0.16
What is -0.1416 rounded to two decimal places?
-0.14
What is -19366000 rounded to the nearest 1000000?
-19000000
What is -0.009175 rounded to 4 decimal places?
-0.0092
Round -199420 to the nearest 10000.
-200000
What is -14.1546 rounded to one decimal place?
-14.2
Round 0.000003255 to seven dps.
0.0000033
What is -59.22 rounded to the nearest 10?
-60
Round -0.000637 to five decimal places.
-0.00064
Round 2060600 to the nearest ten thousand.
2060000
Round 157050000 to the nearest 1000000.
157000000
What is -27.68 rounded to 1 dp?
-27.7
Round -0.007615 to 3 decimal places.
-0.008
What is -923 rounded to the nearest 10?
-920
Round -0.010636 to 3 decimal places.
-0.011
Round -0.00001211 to five dps.
-0.00001
Round -1.92402 to 2 dps.
-1.92
Round -0.000000234 to 7 decimal places.
-0.0000002
Round 101000 to the nearest one hundred thousand.
100000
Round 109380 to the nearest ten thousand.
110000
What is -0.0003803 rounded to five decimal places?
-0.00038
Round -535.36 to zero dps.
-535
Round -2608140 to the nearest one hundred thousand.
-2600000
Round 71406000 to the nearest 100000.
71400000
What is 1.203 rounded to 1 decimal place?
1.2
Round 1.3849 to 1 dp.
1.4
What is -1671.8 rounded to the nearest one hundred?
-1700
Round -29.805 to 0 dps.
-30
Round -4913200 to the nearest one hundred thousand.
-4900000
What is 0.00107496 rounded to 5 decimal places?
0.00107
What is 28.42 rounded to 0 dps?
28
What is -364 rounded to the nearest one hundred?
-400
What is 0.002921 rounded to 4 dps?
0.0029
What is -36.927 rounded to zero decimal places?
-37
What is 253.6 rounded to the nearest one hundred?
300
What is 0.0000639 rounded to 4 decimal places?
0.0001
What is -10.54 rounded to zero dps?
-11
Round -0.00000352 to 7 dps.
-0.0000035
Round -0.00029262 to five decimal places.
-0.00029
What is -38.63 rounded to zero decimal places?
-39
What is 0.08126 rounded to three dps?
0.081
Round -364147 to the nearest one thousand.
-364000
What is 0.007941 rounded to 3 decimal places?
0.008
What is 0.00049407 rounded to 6 decimal places?
0.000494
What is -127.19 rounded to the nearest 10?
-130
Round 0.00154871 to 5 decimal places.
0.00155
Round -42060400 to the nearest 1000000.
-42000000
What is -0.004203 rounded to three dps?
-0.004
What is 0.00001391 rounded to six decimal places?
0.000014
What is -0.001588 rounded to 5 dps?
-0.00159
Round -5147 to the nearest one thousand.
-5000
What is -13741 rounded to the nearest 100?
-13700
What is -1.2859 rounded to two decimal places?
-1.29
What is -10472 rounded to the nearest 1000?
-10000
What is -0.0356 rounded to 2 dps?
-0.04
What is -5130 rounded to the nearest 100?
-5100
What is 0.3996 rounded to 1 decimal place?
0.4
Round -0.00358147 to 5 dps.
-0.00358
Round 0.028128 to 2 dps.
0.03
Round 332.66 to zero dps.
333
Round 167300000 to the nearest 1000000.
167000000
Round 13437 to the nearest 1000.
13000
Round -38 to the nearest ten.
-40
Round -54.15 to the nearest 10.
-50
Round 7.526 to the nearest integer.
8
What is 28807000 rounded to the nearest 1000000?
29000000
What is 36.203 rounded to zero decimal places?
36
Round 0.0152501 to four dps.
0.0153
What is -5410 rounded to the nearest one hundred?
-5400
What is -0.000673851 rounded to 5 decimal places?
-0.00067
Round 0.00000940981 to six decimal places.
0.000009
What is 40972900 rounded to the nearest one million?
41000000
What is 6371.1 rounded to the nearest 100?
6400
What is 6842 rounded to the nearest one thousand?
7000
Round -0.00005257 to six dps.
-0.000053
Round 49216000 to the nearest one hundred thousand.
49200000
What is -1550000 rounded to the nearest 10000?
-1550000
Round 14.33 to zero decimal places.
14
What is 9142000 rounded to the nearest one hundred thousand?
9100000
What is 0.00668 rounded to 3 decimal places?
0.007
Round -0.00001367 to 5 dps.
-0.00001
What is 0.431 rounded to two dps?
0.43
What is -4.40204 rounded to two decimal places?
-4.4
Round 1949
|
{
"pile_set_name": "DM Mathematics"
}
|
5*o - 2*o + 3. Suppose -9*d = -8*d - 11. What is the lowest common multiple of (-2)/((-2)/o) + 3 and d?
22
Let u(k) = -k**2 - 6*k + 10. What is the lowest common multiple of u(-6) and 10?
10
Let r(w) = w**3 + 4*w**2 - 6*w + 6. Let g be r(-6). Find the common denominator of -5 + 8 + g/16 and -49/3.
24
Let g = -4 + 6. Suppose 10*s + 7 = 9*s. Calculate the smallest common multiple of 1 and (s - -5)*-1*g.
4
Let z = 137 - 64. Suppose w - 58 = z. Suppose 0 = -5*j - 21 + w. Calculate the least common multiple of j and 16.
176
Let v(l) = -2*l + 28. Calculate the least common multiple of 4 and v(12).
4
Suppose 3*b + 21 = 63. Suppose -3*z = 2*z - 15. What is the least common multiple of 9 + (-3 - -1) + z and b?
70
Suppose 32 = -5*x + u + 133, 5*x + 2*u = 98. Let y be ((-6)/4)/(3/(-8)). Suppose -y*g = g - x. Calculate the least common multiple of 4 and g.
4
Suppose 2*w - i = 3*w - 5, -5*i + 20 = 0. Calculate the least common multiple of w and 7.
7
Let s = 40 - 28. Let w = 371 - 361. What is the smallest common multiple of s and w?
60
Let w = 6 + 6. What is the lowest common multiple of 5 and w?
60
Find the common denominator of (-2 - 0) + 49/4 and -29/10.
20
Suppose -2*q = -f - f + 82, 0 = 5*f + 4*q - 250. What is the lowest common multiple of f and 9?
414
Let j = 17 - 16. What is the common denominator of 38/6*j/(-6) and -19/6?
18
Let c = 8 - -7. Let k = 17 - 12. Suppose 2*x = -k + c. Calculate the lowest common multiple of 9 and x.
45
Find the common denominator of -131/30 and (-108)/12*5/48.
240
Let i(v) = -7*v + 2. Let g(j) = -j**2 - j. Let c(r) = g(r) - i(r). Let t be c(4). Find the common denominator of 4/t + 155/24 and 131/6.
24
Suppose a - 5*a = 76. Let u = a + 28. Suppose -20 + 7 = -3*y + q, -10 = -5*q. What is the least common multiple of u and y?
45
Let t be -1 - (-3)/3 - 1. Let c be t/((-3)/(-27))*-1. What is the common denominator of 180/27*c/(-2) and -41?
1
Suppose -1 - 3 = -2*a. Calculate the least common multiple of a and (-20)/5*-2 - 0.
8
Let f(z) = z**2 - 5*z - 6. Suppose -4*d + 9*q - 12 = 4*q, 3*d + 2*q = 14. Calculate the smallest common multiple of d and f(7).
8
Let d be 13/5 - (-4)/10. Let a = 6 - d. Suppose 37 = 5*r - 2*o + a*o, -2*r = o - 13. Calculate the least common multiple of 28 and r.
56
Suppose -71 - 127 = -9*o. Calculate the common denominator of 59/42 and o.
42
Let l = -1086 + 5447/5. Calculate the common denominator of l and -12.
5
Let v = -19/369 + -10000/4059. Find the common denominator of 58/15 and v.
165
Let i = 201 + -155. Calculate the common denominator of i and (-3)/(-9) + (-164)/33.
11
Let x = 593/3 + -189. Find the common denominator of x and 49/11.
33
Suppose 10*u - 6*u = 8012. Let k = 13969/7 - u. Calculate the common denominator of k and (-104)/30 - 2/(-3).
35
Let p = -8806 - -193775/22. What is the common denominator of p and (-1 - (-6)/4)*95?
22
Let p = 1384 + -24863/18. Let v = -8456 + 67553/8. Find the common denominator of p and v.
72
Let f(y) = -y + 13. Let o be f(11). Suppose h - o*c - 3*c - 12 = 0, -3*h = -4*c - 14. Calculate the least common multiple of h and 6.
6
Let q = 4 - 2. Suppose 3*n - q*n - 5 = -u, 4*u = n. Let h = -41 + 63. What is the least common multiple of h and n?
44
Suppose 4*x - 12 + 4 = 0. Calculate the common denominator of (-6471)/1260 + x/7 and 7/4.
20
Let d be ((-550)/(-8))/(1 + 1). Let o be 1362/(-80) - (-4)/10. Let n = d + o. Calculate the common denominator of n and -23/6.
12
Let y be (-6)/(-15) + (-186)/(-10). Suppose 1 = 3*l + 5*u - y, -4*l = 5*u - 30. What is the smallest common multiple of l and 11?
110
Let a(y) = y**2 - y - 1. Let w be a(-3). What is the least common multiple of 2 and w - ((-9)/3 + 6)?
8
Let j = 13 - 21. What is the common denominator of -16 + (0 - (-2)/j) and -5/2?
4
Let j = -15 - -21. Let p = -3 + 7. Calculate the lowest common multiple of j and p.
12
Let l be 5/(-2*(-3)/(-48)). Find the common denominator of 83/4 and (-1)/(-5) + 93/l.
8
Let q be (67203/(-12))/(-9) + 2. Let b = -612 + q. What is the common denominator of b and -31/2?
4
Let o = -135/28 - -6407/420. Let a = o + -23/15. Calculate the common denominator of -37 and a.
10
What is the smallest common multiple of 2 and (10 - 55)*4/(-10)?
18
Let x(i) = i**2 - 6*i - 13. Let m be x(9). Suppose -29 = -5*b - m. Suppose -2*v + 5 + 3 = 0. What is the lowest common multiple of b and v?
12
Let y = 0 - 0. Suppose 4*l + 0*l - 472 = y. Find the common denominator of 36/11 and (-9)/(-3)*l/(-54).
99
Calculate the lowest common multiple of (372/10)/3 + (-8)/20 and 30.
60
What is the least common multiple of (0 - -1)*4 + 16 and 10?
20
Suppose -5*v - 3*c + 703 = 0, 0 = 4*c + 1 - 5. Calculate the least common multiple of 12 and v.
420
Suppose 6*t - 4*t - 10 = 0. Calculate the smallest common multiple of 14 and (-126)/(-15) - 2/t.
56
Let u be (1/3)/(4/48). Suppose -b = -32 + u. Calculate the least common multiple of b and 20.
140
Let j = -9 - -20. What is the lowest common multiple of 1 and j?
11
Suppose 4*y = -5*k + 102 + 4, 3*k = -5*y + 61. What is the smallest common multiple of 4 and k?
44
Suppose 7 = -5*u + o, -2*u - 4*o - 12 = -9*o. What is the lowest common multiple of (0 + 1)/(u/(-2)) and 16?
16
Suppose 3*r + 2*d - 12 = 0, -5*d + 0*d = -3*r - 9. What is the smallest common multiple of r and 5?
10
Calculate the least common multiple of 14 and (-395)/(-15) + 1/(-3).
182
Suppose 643 = 2*j - 1379. Let q be (-303)/2*257/j
|
{
"pile_set_name": "DM Mathematics"
}
|
is the units digit of n?
7
Let y(g) = -g**2 + 6*g - 6. Let j be y(6). Suppose b - 2*a - 1 = -0*b, 0 = -3*b + 3*a + 18. Let q = j + b. What is the units digit of q?
5
Let n be 560/(-30) + 2/(-6). Let f = 2 - n. What is the tens digit of f?
2
Suppose 5*v = 540 + 295. What is the hundreds digit of v?
1
Let c(y) = 6*y**3. Let a be c(1). Suppose -a = -5*k + 2*r + 4, 2 = k + 5*r. Let d = 6 + k. What is the units digit of d?
8
Suppose 6 = -5*r + 16, r = -3*g + 29. Suppose -6*f - 81 = -g*f. What is the tens digit of f?
2
What is the units digit of (80/32)/((-669)/336 - -2)?
0
Let j(k) = -k**3 - 3*k**2 + 4*k - 5. Let x be j(-6). Let n = -54 + x. Suppose -5*u - 5*i = -n, 4*u - i - 24 = 1. What is the units digit of u?
6
Suppose -3*w - 13 = 5*g, -w + 5*w - 5*g = 6. Let n(u) = 16*u - 1. Let h be n(w). Let x = h - -30. What is the tens digit of x?
1
Suppose -4*v + 57 + 15 = 0. Suppose 4*r + v = -5*i, 5*i + 0*i + 2*r = -24. What is the units digit of ((-8)/6)/(1/i)?
8
Suppose 0 = -d + 15 + 21. What is the units digit of d?
6
Let l(f) = -3*f**3 - f**2 - f - 1. Let y be l(-2). Suppose -3*b - z + y = 2*z, -z = 5*b - 15. What is the units digit of b?
2
Let q(h) = 2*h + 6. Let x be q(-6). Let t = 1 - x. What is the units digit of t?
7
Let l(s) = s**3 - 4*s**2 + 2*s - 5. Let v be l(4). Let p(c) = -4 + v*c + 2*c - 3*c. What is the units digit of p(5)?
6
Let l(c) = -c**3 - 4*c**2 + 3*c - 6. Let i be l(-5). Suppose 4*t + i = 3*t, 0 = a + 3*t - 13. What is the units digit of a?
5
Let u be (-1 + 6/4)*4. Suppose 5*b = -2 - 8, u*i - 5*b = 10. Suppose i = g - 4*a - 8, -5*g + a = -3*a - 40. What is the units digit of g?
8
Suppose 0 = 3*n - 2*o - 5, 4*o - 5 = 3. Suppose -3*f - n = -0*f. Let t = f - -5. What is the units digit of t?
4
Suppose 2*f = -4*j + 12, -2*f = -j - 5 - 2. Let d = f + -5. What is the tens digit of 1*d*(1 - 11)?
1
Suppose -3*g + 5*s + 26 = 0, 2*g = -g - 3*s + 18. What is the units digit of g?
7
Suppose 2*v + 3*v - 3*j - 222 = 0, 5*j = -4*v + 148. What is the units digit of v?
2
Let p(j) = j + 19. Let a be p(-11). Suppose -98 + a = -2*u. What is the units digit of u?
5
Suppose 0*l - 2*l = -3*x - 22, 3*x + 12 = 0. Let i = l + 6. What is the tens digit of i?
1
Let q = 24 - -45. What is the units digit of q?
9
Let g be (3 + (-4 - 0))*1. Let a(p) = 21*p**2 + p + 1. What is the tens digit of a(g)?
2
Let y(z) = z**2 - 2*z + 6. Let l be y(5). Let o = -29 + l. What is the tens digit of (13/(-4))/(2/o)?
1
Suppose 1 = 2*x + x - u, 4*x = 2*u + 2. Suppose 2*t - 5 = -5*l + 14, -t + 2 = x. What is the units digit of l?
3
Let d = 244 - 110. What is the hundreds digit of d?
1
Suppose 0 = -5*x + 2*x - 66. Let z be x/18 - (-2)/9. Let h = 7 + z. What is the units digit of h?
6
Let c = -120 + 174. What is the units digit of c?
4
What is the units digit of 2098/8 + (1 - (-45)/(-36))?
2
Let u = 7 + -14. What is the tens digit of 2/(-7) - 142/u?
2
Let i = -3 - -1. What is the units digit of (-1 - i - 0)*9?
9
Suppose 3*r = 68 + 82. Let j = r - 32. What is the tens digit of j?
1
Let y = -176 + 304. What is the units digit of y?
8
Let y = 5 + -5. Suppose 3*x + 2*x - 15 = y. Suppose -2*i + 58 = 4*g - 7*i, -x*g = -4*i - 44. What is the units digit of g?
2
Let c = 4 - 4. Let f be 2/(-7) - 5/7. Let j = c - f. What is the units digit of j?
1
Let r(p) = -16*p - 27. What is the units digit of r(-8)?
1
Suppose -4*v + 38 = -s, 0 = 4*v + 3*s - 18 - 28. What is the tens digit of (34/2)/(v - 9)?
1
Let g(r) be the first derivative of 2/3*r**3 + 3 + r - r**2. What is the units digit of g(2)?
5
Let r(o) = 28*o**3 - o**2 + 2*o - 1. What is the units digit of r(1)?
8
What is the hundreds digit of (-4)/((-8)/(-26) + (-5)/15)?
1
Let n(t) = -t**2 - 10*t + 25. What is the units digit of n(-12)?
1
Let f(y) be the second derivative of 5*y**3/6 - y**2/2 + 7*y. What is the tens digit of f(3)?
1
Suppose 0 = 2*n + 6. Let p be (n/9)/(1/(-6)). What is the units digit of 0 - 0 - p - -4?
2
Let o(i) be the first derivative of i**4/24 + 2*i**3 + 3*i**2/2 - 4. Let k(x) be the second derivative of o(x). What is the units digit of k(0)?
2
Suppose 2*y = -3*b + 90 + 583, -3*b + 1361 = 4*y. What is the units digit of y?
4
Let n be (-3)/(-1)*10/6. Suppose -n = -2*y + 1. What is the units digit of (1 - y)*(-6)/4?
3
Let d(p) = -2*p - 6. Let y be d(-4). Suppose 14 = y*g - 2. Let r = -2 + g. What is the units digit of r?
6
Suppose 3*w - 1 = -m + 9, 0 = m - 2*w - 30. What is the units digit of m?
2
Let r(o) = 12*o**2 - 17*o + 5. What is the tens digit of r(5)?
2
Let h = 7 + -15. Let o = -11 - h. Let j = o - -8. What is the units digit of j?
5
Let x = 17 - 13.
|
{
"pile_set_name": "DM Mathematics"
}
|
= 81 - u. Does 9 divide y?
False
Let f be 78/8 - 3/(-12). Does 8 divide (f/25)/(1/70)?
False
Suppose 10878 = 4*j - 0*h - 2*h, -2*j = h - 5433. Is j a multiple of 73?
False
Suppose -4*r + 2*r = 4*s + 24, -4*r = 5*s + 42. Let d be 46/4 - (-1)/2. Is r/(1 - 16/d) a multiple of 9?
False
Let q = -399 - -829. Is q a multiple of 55?
False
Suppose 506 = -4*r + 202. Let c = r + 109. Suppose -5*b + c = -122. Does 19 divide b?
False
Let l = -13 - -18. Suppose 3*c + b - 658 = l*b, -194 = -c - 5*b. Let p = c - 147. Does 35 divide p?
False
Suppose -2*z + z = 4*m - 82, -2*z + 176 = 2*m. Suppose 2*l = 7*l - z. Suppose 0 = 3*y + 3*f - 63, 3*f - l = -y + 7. Does 19 divide y?
True
Suppose 82 - 18 = -3*m + 4*d, 2*m - d + 41 = 0. Let x = -19 - m. Suppose -2*h + x + 125 = 0. Is h a multiple of 21?
True
Let f(r) = -7*r - 10. Let a be f(-2). Suppose 5*p = -4*b + 88, 4*p - 27 = -a*b + 57. Is b a multiple of 17?
True
Let w = -8 + 10. Let r be 9*(w/6 + 0). Suppose 0 = 4*d - r*h - 31, 3*d - 3*h + 0*h - 21 = 0. Is 5 a factor of d?
True
Is (-10)/(5/(-4 - 221)) a multiple of 30?
True
Let y(d) = d + 4 - 2 + 1. Let q be y(0). Is 3 a factor of (-3)/(-9)*q - -2?
True
Let y(k) = -k**2 - 14*k + 3. Suppose 4*w = 12, 2*w = i + 6 + 8. Does 17 divide y(i)?
True
Let k(l) = 2*l**2 - 13*l - 1. Let t(y) = y**2 + 7*y + 7. Let p = 1 - 8. Let n be t(p). Is k(n) a multiple of 2?
True
Let t be 2/(-4 - (-630)/156). Let u = -4 + 6. Suppose 5*h + t = -2*g + 131, -u*g + 49 = -5*h. Is g a multiple of 8?
True
Suppose 3*o + 175 = 13. Let i = o + 90. Suppose -4*t + 88 = i. Does 4 divide t?
False
Suppose -23 + 107 = -4*s. Let o = 26 + s. Is o a multiple of 5?
True
Suppose 12*w - 1513 - 359 = 0. Is 52 a factor of w?
True
Let p = -58 - -60. Suppose 3*g = 2*g - 5*d + 72, -g + p*d + 86 = 0. Does 7 divide g?
False
Let a(d) = 1. Let w(o) = -o - 3. Let y(v) = -a(v) + w(v). Let z be y(-6). Suppose 0 = m - 4*x, -4 = -m + z*x + 6. Is 4 a factor of m?
True
Let c be (-23370)/14 + (-4)/(-14). Let f = -1169 - c. Suppose 0 = 6*n - 178 - f. Is n a multiple of 31?
False
Suppose -8*h = -3*h - 35. Suppose h - 4 = q. Suppose -q*p = -0*p - 186. Is 10 a factor of p?
False
Let k(s) = -s**2 + 9*s - 8. Let p(x) = x**3 - x**2 + 2*x - 3. Let a be p(2). Let z be k(a). Suppose -2*n + 96 = z. Is 14 a factor of n?
True
Suppose -4*w - 41 = -5*f - 0*w, w = 5*f - 29. Suppose -c = -f*c + 112. Suppose -k - k = -c. Is k a multiple of 9?
False
Does 3 divide (-8671)/(-115) + (-2)/5?
True
Let c(y) = 5*y**3 + 2*y**2 + y + 3185. Does 91 divide c(0)?
True
Let n = 86 + -80. Suppose 2*w - 120 = 4*h, n*h - 152 = -2*w + 2*h. Does 17 divide w?
True
Let t(p) = 9*p - 27. Suppose -12 + 6 = -l. Does 12 divide t(l)?
False
Let p = 3 + -3. Suppose p = -3*y - 12, n - 2*y - 22 = 3*y. Suppose 7*v = n*v + 275. Is v a multiple of 12?
False
Let c = -212 - -274. Does 7 divide c?
False
Let c(m) = -2*m**3 + 2*m**2 - 4. Let n be c(4). Let k be n + -2*9/(-6). Let x = k - -136. Is 13 a factor of x?
True
Let x(u) = -14*u + 2. Let c(h) = -15*h. Let i(l) = 5*c(l) - 6*x(l). Is 4 a factor of i(4)?
True
Let a = -96 - -265. Let s = 22 + a. Is s a multiple of 9?
False
Suppose -4*m + 224 = 3*c, -5*m + 120 = 4*c - 160. Is 4 a factor of m?
True
Does 3 divide 13878/324 - 2/(-12)?
False
Suppose 6*c + 2*g - 2052 = 0, -2*c - g + 0*g + 683 = 0. Is c a multiple of 7?
True
Suppose 2849 = -295*i + 302*i. Does 11 divide i?
True
Let a be (1/1)/(-1)*-1. Is ((-5)/2)/(a/(-6)) a multiple of 4?
False
Suppose 11*f - 15*f = -1572. Is 2 a factor of f?
False
Let k(t) = -t**2 + 12*t - 3. Let q be k(3). Suppose -19*b = -q*b + 150. Is 5 a factor of b?
True
Let j = 2 + 2. Let o(t) = 2*t - 2. Let h be o(j). Is ((-3)/h)/(2/(-72)) a multiple of 9?
True
Suppose -5*i - 3*l = -339, -3*i - 2*l = -2*i - 65. Let u = 195 - i. Is 41 a factor of u?
False
Suppose 5*v + 3 + 50 = 2*k, 76 = 3*k - 4*v. Is k/(4*4/24) a multiple of 36?
True
Suppose -5*x + 797 + 523 = 0. Does 13 divide x?
False
Suppose -5*m = -3*c - 0*c + 40, 4*c + 20 = 0. Let g = -2 - m. Is g - (-3)/12*-4 a multiple of 2?
True
Let c be 18/(-8)*(5 + -9). Suppose 15 = 4*z - c. Does 3 divide z?
True
Let l(o) = 37*o**2 + o - 3. Let k(f) = -2*f + 2. Let q be k(2). Is l(q) a multiple of 38?
False
Suppose 0 = -0*o - 4*o + 12. Suppose m + o + 0 = 4*g, 4*m = -2*g + 6. Suppose 9 - g = i. Does 8 divide i?
True
Suppose -p + 0*x = -4*x + 5, -20 = -p - x. Let b(m) = -m**3 + 14*m**2 + 24*m - 35. Is b(p) a multiple of 25?
True
Suppose 30 = -2*r - 5*m + 6*m,
|
{
"pile_set_name": "DM Mathematics"
}
|
t common factor of 497 and 170968.
497
What is the highest common divisor of 393 and 6943?
131
Calculate the highest common divisor of 181 and 240187.
181
Calculate the highest common divisor of 272 and 3536.
272
Calculate the greatest common divisor of 7798 and 3633.
7
Calculate the highest common factor of 458188 and 8.
4
What is the highest common divisor of 1218 and 5162?
58
What is the highest common divisor of 5780 and 27540?
340
Calculate the highest common factor of 2170 and 554590.
310
Calculate the greatest common factor of 1683 and 20988.
99
What is the greatest common factor of 1710 and 4655?
95
Calculate the highest common divisor of 92 and 337387.
23
What is the highest common factor of 154 and 17831?
11
What is the highest common factor of 100900 and 20?
20
What is the greatest common divisor of 90 and 304860?
30
Calculate the highest common divisor of 161798 and 196.
98
What is the greatest common factor of 114426 and 5379?
489
Calculate the highest common factor of 359782 and 826.
118
Calculate the highest common divisor of 153 and 29016.
9
What is the highest common factor of 212080 and 330?
110
What is the greatest common factor of 55878 and 12?
6
What is the greatest common divisor of 175 and 42?
7
What is the highest common divisor of 2272 and 1600?
32
Calculate the highest common divisor of 253545 and 90.
15
What is the highest common divisor of 77 and 14?
7
What is the greatest common divisor of 194645 and 275?
55
Calculate the greatest common divisor of 754657 and 3227.
461
What is the highest common divisor of 17297 and 343?
49
What is the highest common divisor of 1340 and 6399170?
670
Calculate the greatest common divisor of 14 and 761278.
14
Calculate the highest common divisor of 24555 and 1155.
15
What is the greatest common factor of 28942776 and 684?
684
What is the highest common factor of 138 and 22126?
46
Calculate the highest common divisor of 1768 and 86008.
104
What is the greatest common divisor of 9 and 6420681?
9
Calculate the highest common divisor of 904 and 58195.
113
Calculate the highest common factor of 1750 and 400.
50
What is the greatest common factor of 875 and 9590?
35
What is the highest common divisor of 176 and 108020?
44
What is the highest common divisor of 1183585 and 260?
65
What is the highest common divisor of 145431 and 286?
143
Calculate the greatest common factor of 1504974 and 6.
6
What is the greatest common divisor of 652325 and 7263?
269
What is the greatest common factor of 16752 and 120?
24
Calculate the greatest common factor of 11668 and 16.
4
Calculate the greatest common factor of 662284 and 1666.
98
What is the highest common factor of 84 and 6144?
12
What is the greatest common divisor of 841 and 101761?
841
Calculate the greatest common factor of 137 and 7397041.
137
Calculate the highest common factor of 156 and 20072.
52
Calculate the highest common factor of 46166 and 943.
41
Calculate the highest common divisor of 516 and 5345115.
129
What is the highest common divisor of 331995 and 285?
15
Calculate the highest common divisor of 8464 and 512.
16
What is the highest common factor of 1159196 and 34?
34
What is the highest common divisor of 2658 and 1572?
6
What is the greatest common divisor of 651 and 8649?
93
What is the greatest common divisor of 8 and 1714?
2
Calculate the greatest common divisor of 138951 and 117.
9
Calculate the greatest common factor of 1608 and 57486.
402
Calculate the greatest common factor of 1024 and 1267456.
256
What is the highest common factor of 2686 and 172062?
158
What is the greatest common divisor of 56 and 146912?
8
Calculate the highest common divisor of 4154 and 67.
67
What is the greatest common divisor of 1387503 and 469?
67
What is the highest common factor of 11609 and 741?
247
Calculate the highest common divisor of 5 and 6500045.
5
Calculate the greatest common factor of 23705 and 495.
55
What is the greatest common factor of 9447 and 1072?
67
Calculate the greatest common factor of 6050 and 175.
25
Calculate the highest common divisor of 6319 and 5429.
89
Calculate the highest common factor of 762 and 132334.
254
What is the highest common divisor of 1080 and 76410?
270
Calculate the highest common divisor of 95232 and 930.
186
What is the highest common factor of 20 and 101740?
20
Calculate the highest common divisor of 88102 and 13237.
217
What is the greatest common divisor of 1956 and 36?
12
What is the greatest common divisor of 120 and 191535?
15
Calculate the highest common factor of 1152 and 7272.
72
Calculate the highest common factor of 36800 and 23200.
800
What is the greatest common factor of 6 and 7922?
2
Calculate the highest common divisor of 110004 and 25132.
412
Calculate the highest common divisor of 7999296 and 1464.
1464
Calculate the greatest common divisor of 81873 and 6.
3
What is the greatest common divisor of 9918 and 1710?
342
Calculate the greatest common factor of 24491 and 323.
19
Calculate the greatest common divisor of 7303 and 1072.
67
Calculate the highest common factor of 4722 and 942.
6
Calculate the greatest common divisor of 4968 and 15318.
414
Calculate the highest common divisor of 41703 and 198.
3
What is the highest common factor of 40187 and 679?
7
Calculate the highest common divisor of 12865680 and 835.
835
Calculate the greatest common divisor of 300 and 3794100.
300
Calculate the highest common divisor of 9477 and 234.
117
What is the highest common divisor of 572 and 24167?
143
What is the greatest common factor of 7165 and 45?
5
What is the highest common factor of 353834 and 248?
62
Calculate the greatest common factor of 13536 and 2336.
32
Calculate the greatest common divisor of 38773 and 1624.
203
Calculate the greatest common divisor of 8 and 30339416.
8
Calculate the greatest common factor of 5 and 47570.
5
What is the greatest common divisor of 13222 and 550?
22
Calculate the greatest common divisor of 11 and 2794209.
11
Calculate the greatest common divisor of 100 and 32975.
25
What is the highest common factor of 6652 and 1032?
4
Calculate the greatest common factor of 1159 and 37639.
19
Calculate the greatest common factor of 650 and 25285.
65
What is the highest common divisor of 127829 and 13?
13
What is the highest common factor of 165698 and 26?
26
Calculate the highest common factor of 2904 and 46101.
363
What is the highest common factor of 165 and 37191?
33
What is the greatest common divisor of 19335 and 15?
15
What is the highest common factor of 582950 and 1834?
262
What is the greatest common divisor of 9175104 and 36?
36
Calculate the highest common divisor of 1028 and 1310957.
257
What is the greatest common divisor of 283428 and 36?
36
What is the highest common factor of 540 and 82674?
54
What is the highest common divisor of 92 and 1178?
2
What is the greatest common divisor of 132001 and 2?
1
Calculate the greatest common divisor of 84905 and 10.
5
Calculate the highest common factor of 2107 and 9847.
43
Calculate the highest common factor of 28 and 6433.
7
What is the highest common divisor of 11350472 and 314?
314
Calculate the highest common divisor of 90 and 23805.
45
Calculate the greatest common factor of 92 and 158412.
4
What is the greatest common divisor of 347279 and 269?
269
What is the greatest common divisor of 638014 and 104?
26
Calculate the highest common factor of 1334 and 33785.
29
What is the greatest common divisor of 150 and 272950?
50
What is the highest common divisor of 25697 and 7?
7
Calculate the highest common divisor of 1451 and 3245887.
1451
What is the highest common divisor of 942 and 463935?
471
Calculate the highest common divisor of 50 and 178850.
50
Calculate the highest common divisor of 17044 and 4.
4
Calculate the greatest common factor of 47177 and
|
{
"pile_set_name": "DM Mathematics"
}
|
Let n(a) = 5*a. Let w(j) = -5*n(j) - 2*r(j). Let x(y) be the first derivative of 77 + 0*y - 2/3*y**3 + 0*y**2. Give x(w(t)).
-18*t**2
Let f(i) = i**2. Let b(h) be the third derivative of -h**5/10 - 2*h**3/3 - 1046*h**2. Give b(f(q)).
-6*q**4 - 4
Let w(g) = g. Let v(x) = -366*x + 15. Let b(k) = -182*k + 6. Let a(q) = 78*q + 314. Let n be a(-4). Let y(u) = n*v(u) - 5*b(u). Determine w(y(i)).
178*i
Let m(u) = -97289229*u. Let i(q) = -2*q. Calculate m(i(d)).
194578458*d
Let y(p) = -47*p + 13*p + 13*p + 17*p. Let t(v) = v + 8. Let a be t(-4). Let g(j) = -8*j - a*j + 8*j. Calculate g(y(o)).
16*o
Let k(l) be the second derivative of -101*l**3/2 + 429*l. Let b(a) = 6*a**2. Give b(k(v)).
550854*v**2
Let n(j) be the first derivative of 0*j + 3/2*j**2 + 9. Let p(b) = b**2 + 730 - 730. What is p(n(t))?
9*t**2
Let l(m) be the second derivative of m**4/6 - 41*m - 3. Let d(t) = 2*t + 8*t + 9*t. Determine l(d(q)).
722*q**2
Let y(o) = -4*o + 7. Suppose -62*z + 9396 = -958. Let w(s) = 78*s - z*s + 90*s. Give y(w(p)).
-4*p + 7
Let d(s) = 10517284*s**2. Let k(w) = 3*w**2. Calculate d(k(l)).
94655556*l**4
Let z(c) = -84364*c. Let n(k) = 2*k**2 + 33*k. What is z(n(l))?
-168728*l**2 - 2784012*l
Let q(s) = s. Let l(c) = 67273*c**2 - c - 8. Give q(l(z)).
67273*z**2 - z - 8
Let g(u) be the first derivative of -u**2/2 + 137. Let a(v) = -v + 4. Let k(i) = -730*i + 2336. Let f(b) = 584*a(b) - k(b). Give f(g(r)).
-146*r
Let l(q) = 83*q. Let b(p) = -3768729 + 3768729 + 3*p - p**2 - 3*p. Calculate b(l(u)).
-6889*u**2
Let a(y) = 21*y + 27. Let w(c) = -3*c - 4. Let q = 260 - 256. Let i(p) = q*a(p) + 27*w(p). Let l(d) = -29*d. Give l(i(x)).
-87*x
Let f(z) be the third derivative of -z**5/10 + 1391*z**2. Let y(w) be the first derivative of 7*w**2/2 + 1. What is f(y(o))?
-294*o**2
Let c(x) = -2893*x. Let y(t) = 10*t**2 + 8*t. Let i(s) = -4*s**2 - 3*s. Let g(m) = 8*i(m) + 3*y(m). What is g(c(u))?
-16738898*u**2
Let f(k) = -9196*k. Let x(q) = -2*q**2 - 1259. What is f(x(s))?
18392*s**2 + 11577764
Let g(t) = -4*t + 21. Let z(k) = k - 6. Let j(q) = -2*g(q) - 7*z(q). Let v(l) = 27*l + 7. Give j(v(s)).
27*s + 7
Let g(q) = q + 15. Let j(c) = -15*c + 56*c + 3 - 13*c - 13*c - 14*c. Calculate g(j(z)).
z + 18
Let s(d) = 2*d. Let n(t) = 641786219*t**2. What is s(n(i))?
1283572438*i**2
Let o(g) = 76*g**2. Let v(i) = -27*i**2 - 31*i**2 + 158*i**2 - 39*i**2 - 20*i**2. What is v(o(d))?
236816*d**4
Let d(t) = 3*t**2 + 105. Let h(j) = 254*j**2 - 1. Give d(h(r)).
193548*r**4 - 1524*r**2 + 108
Let r(u) = 97*u + 173*u - 3*u + 103*u + 34*u. Let i(p) = 5*p**2. Give i(r(c)).
816080*c**2
Let v(z) = -1334*z. Let y(j) be the second derivative of j**4/2 + 9212*j. Calculate v(y(s)).
-8004*s**2
Let d(h) = 18*h**2 - 32*h**2 + 2*h**2. Let x(q) = q**2 + 3*q - 15. Let o(c) = 3*c**2 + 10*c - 50. Let y(a) = 3*o(a) - 10*x(a). Calculate d(y(m)).
-12*m**4
Let g(h) be the second derivative of -2*h + 1/4*h**4 + 0*h**2 + 0*h**3 + 57. Let j(d) be the third derivative of 7*d**4/12 - d**2. What is j(g(z))?
42*z**2
Let m(l) = -6*l. Let g(a) be the second derivative of -a**6/360 - a**4 + 10*a - 4. Let r(d) be the third derivative of g(d). Determine r(m(x)).
12*x
Let k(b) = 2*b**3 - 7*b**2 + b + 19. Let p be k(5). Let y(f) = 53*f - p*f + 53*f. Let m(g) = -g - 5 + 5. Determine y(m(s)).
-7*s
Let q(w) = -3673*w. Let x(n) = -196581*n. Calculate x(q(s)).
722042013*s
Let x(f) = 846883*f. Let y(w) = 7*w**2 - 5*w. Determine x(y(h)).
5928181*h**2 - 4234415*h
Let g(i) = 22*i**2. Let n(l) = 687*l + 25. What is n(g(a))?
15114*a**2 + 25
Let a(t) be the third derivative of t**4/24 + 83*t**3/3 - 670*t**2. Let g(o) = 4*o**2. What is g(a(k))?
4*k**2 + 1328*k + 110224
Let k(a) be the second derivative of -233*a**3/6 - 3*a**2 + 3130*a. Let d(r) = r. What is k(d(f))?
-233*f - 6
Let v(f) = 4*f. Suppose 2*k - 3 = 3. Suppose k*s + s - 12 = 0. Let x(u
|
{
"pile_set_name": "DM Mathematics"
}
|
ed by -303381
-684
142943298 divided by -3
-47647766
-13037 divided by -245
13037/245
Calculate -892931230 divided by 5.
-178586246
What is -7218822 divided by 189969?
-38
Divide -108781308 by -171.
636148
Calculate -356264472 divided by -3.
118754824
Calculate -348 divided by -136728.
29/11394
-37216566 divided by 18608283
-2
5 divided by -22666478
-5/22666478
-19871594 divided by 12
-9935797/6
3596400 divided by 1800
1998
Divide -1399348608 by 32249.
-43392
Calculate 120524 divided by 163.
120524/163
What is -16993588 divided by 5?
-16993588/5
-188874 divided by -136
94437/68
Calculate -719410380 divided by -35970519.
20
What is -753115 divided by -11?
68465
Divide -75 by -816127.
75/816127
Divide 0 by -60323.
0
Calculate -93743160 divided by 2678376.
-35
What is -11293695 divided by 333?
-33915
Divide 2068 by 12387.
2068/12387
-355821690 divided by 662
-537495
What is -5504664 divided by -2?
2752332
What is -60117 divided by 40?
-60117/40
-253 divided by -2736
253/2736
Calculate 96469890 divided by 15.
6431326
20747500 divided by 4
5186875
Divide 1102 by 51320.
551/25660
Divide -2099352310 by -5.
419870462
What is -45872 divided by 1592?
-5734/199
Calculate -275656530 divided by 3.
-91885510
-153179109 divided by 3
-51059703
Calculate -1212365 divided by -1645.
737
What is 517355647 divided by 1?
517355647
Divide 0 by -71252.
0
Divide 38671620 by -59956.
-645
What is -5963433 divided by -4?
5963433/4
Divide -64008634 by -30803.
2078
148 divided by 23743
148/23743
Divide 32882 by 561.
32882/561
-26 divided by -16037971
26/16037971
34115120 divided by -3
-34115120/3
What is 26764350 divided by 535287?
50
Calculate 5 divided by 1528449.
5/1528449
Calculate -11798596 divided by -436.
27061
Calculate -6372 divided by -101818.
3186/50909
Calculate -5400 divided by 4404.
-450/367
10063746 divided by 99
101654
Divide 266400 by 740.
360
Calculate -966946 divided by -2.
483473
What is 4100870 divided by -5?
-820174
What is 7 divided by 115521?
1/16503
What is -1997764 divided by 499441?
-4
-24794133 divided by 8264711
-3
Calculate -5651 divided by -165.
5651/165
Calculate 440800618 divided by -1.
-440800618
-7909841 divided by -1
7909841
Divide -218917663 by -2.
218917663/2
Calculate 9110736 divided by 4.
2277684
8970129 divided by -2990043
-3
What is 5750 divided by -11252?
-2875/5626
Divide -3817376 by -32.
119293
What is -115196151 divided by -1622481?
71
Calculate -61983 divided by 1.
-61983
Calculate -51436 divided by 125.
-51436/125
Calculate -4255960 divided by -515.
8264
What is -17318170 divided by -3463634?
5
Divide 69155480 by 3457774.
20
What is 577271 divided by -754?
-577271/754
14701117 divided by -639179
-23
What is -381842895 divided by -1?
381842895
What is 26499278 divided by -2038406?
-13
Divide 2760 by -16009.
-2760/16009
Calculate 25644126 divided by 1.
25644126
-42190165 divided by -19309
2185
760457 divided by 38
760457/38
Calculate 158907322 divided by 35798.
4439
Calculate -13779700 divided by -55.
250540
Calculate -1631 divided by -87363.
1631/87363
-139867 divided by -139867
1
Calculate -33823387 divided by 64181.
-527
Calculate -11259452 divided by -2814863.
4
Calculate -102753420 divided by -1540.
66723
Calculate 6 divided by 1553159.
6/1553159
Calculate -5904010 divided by 49.
-120490
Calculate 13033 divided by -253.
-13033/253
Calculate -366178450 divided by -950.
385451
Calculate 5 divided by -49616223.
-5/49616223
Divide 190754433 by 16167.
11799
Divide -10475 by -445.
2095/89
Calculate -1265270160 divided by -1470.
860728
-234361176 divided by 18606
-12596
Calculate -12203791 divided by -14.
12203791/14
114875483 divided by -3
-114875483/3
Calculate 67257950 divided by -5.
-13451590
What is -4 divided by -17007230?
2/8503615
Calculate -210892750 divided by 1.
-210892750
Divide 3258868 by -17.
-3258868/17
What is -22936720 divided by 1146836?
-20
Calculate 593632 divided by -547.
-593632/547
-721453784 divided by 8
-90181723
Divide 59 by -2630870.
-59/2630870
Calculate 0 divided by 136922544.
0
-316193787 divided by -42897
7371
What is -877116 divided by -15388?
57
What is -20492010 divided by -4098402?
5
Divide -12855553 by -1117.
11509
Divide -16859104 by -32.
526847
What is -16816 divided by -10368?
1051/648
Divide 932683520 by 8.
116585440
Divide -29502567 by 3.
-9834189
3325385 divided by -95011
-35
-404416 divided by 14
-202208/7
108221720 divided by -21644344
-5
Divide 60616678 by 5.
60616678/5
Calculate 43426891 divided by -43297.
-1003
20708160 divided by 117660
176
Calculate 20 divided by 23598173.
20/23598173
Divide 3482857 by 3482857.
1
Calculate 37015344 divided by 57.
649392
Calculate -4941 divided by 12824.
-4941/12824
Divide -186650403 by 6.
-62216801/2
What is 25 divided by -1219704?
-25/1219704
Divide 107889 by -74.
-107889/74
-4726860 divided by -472686
10
What is -137629265 divided by -2?
137629265/2
Divide 1414 by -11806.
-707/5903
-115098688 divided by 14944
-7702
Calculate -65532 divided by 161.
-65532/161
Calculate -2126 divided by -698.
1063/349
What is -4 divided by -740872?
1/185218
Calculate -115382 divided by -58.
57691/29
What is 115 divided by -72099?
-115/72099
What is 183751 divided by 38?
183751/38
1968064 divided by 1337
1472
Calculate -105444508 divided by 13429.
-7852
-67014810 divided by -6
11
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Let v be b(8). Which is bigger: v or o?
v
Let k = 2014783/67 + -30073. Is 1/3 at most k?
False
Suppose 5*w + 33 - 48 = 0. Let d = 7 - w. Are 16/5 and d non-equal?
True
Let w = -1143/7 + 161. Let a = 65 + -59. Suppose -2*m = -4*l + 10, -2*m - a = 5*l - 5. Is w at least as big as m?
True
Let r(f) = f + 14. Let j be r(-11). Let v(z) = 6*z**3 + 2*z**2 + z - 2. Let a be v(1). Which is smaller: j or a?
j
Let t(p) be the third derivative of -p**5/60 + 13*p**4/12 + 113*p**3/6 + 52*p**2. Let w be t(31). Let r be (14/(-3))/(1/9). Is r != w?
False
Suppose -13*m = -4*m + 4*m - 7644. Which is smaller: 7 or m?
7
Let k(m) = -m**3 - 80*m**2 - 156*m - 31. Let o be k(-78). Let p(s) = s**3 + 6*s**2 + 6*s + 5. Let y be p(-4). Suppose 0 = -r - y - 19. Which is bigger: o or r?
o
Let y be 11/77 - (-501)/21. Suppose -83*r = -77*r - y. Which is greater: r or 8.5?
8.5
Suppose 8*c - 22*c + 252 = 0. Let i = -16 + c. Suppose -4*u - u = -5*q + 60, 4 = i*u + 5*q. Is u less than -7?
True
Let u = 78 + -1327/17. Suppose 5*v - 5*i + 0*i = -305, -v = -4*i + 58. Let o = 63 + v. Which is greater: u or o?
o
Let f = -33.446 - -9.546. Is 14 < f?
False
Let l = 3341 + -3346. Is 3.6 < l?
False
Let g = -2618 + 2619. Which is smaller: -2/6139 or g?
-2/6139
Let m = -3.46 + 1.26. Let a = m - -2. Is -32 less than a?
True
Let k(x) = -x**2 + 14*x - 17. Let i be k(16). Let f be (4/4 + -2)*i. Let w = f + -30. Is w at most as big as 20?
True
Let o = 6499 - 6719. Which is smaller: -215 or o?
o
Let d = -7866 + 1242829/158. Let r(a) = a**2 + 6*a + 6. Let k be r(-5). Is k != d?
True
Suppose 69*i - 75*i + 3168 = 0. Suppose -i*s + 161 = -521*s. Let o(d) = -22*d + 1. Let c be o(-1). Is c at most s?
True
Let v(j) = -3*j**3 + 11*j**2 + 108*j + 20. Let a be v(-9). Is a < 2126?
False
Let v be (-13720)/36 - 5/(-45). Which is bigger: v or -378?
-378
Let v be (-14)/(-217) + 38/(-589). Which is bigger: v or -1/3984?
v
Let h(r) = 132*r**3 - 3*r**2 - 3*r - 3. Let a be h(-2). Let f be ((-2)/(10/(-3)))/(1562/a). Which is smaller: f or -1?
-1
Let y = -14298 + 4189321/293. Which is greater: y or -1?
y
Suppose 33*j = 37*j - 80. Suppose -79*g - 63 = -82*g. Which is smaller: j or g?
j
Let y = -5 + -10. Let a = y + 14. Let l be (3/(-276))/(0 + (-14)/16). Which is smaller: a or l?
a
Suppose 29022 = -1840*x + 1846*x. Is x > 4837?
False
Suppose 28*r + 27*r + 10 = 65. Which is bigger: r or 48/41?
48/41
Let z be (275/(-44))/25*0. Is -12/593 less than or equal to z?
True
Suppose 9*t - 284 + 1616 = 0. Let d = t + 128. Is -21 greater than d?
False
Suppose -159*q - 203 = -166*q. Suppose -q*u + 351 = 10*u. Which is greater: u or 17?
17
Let y(a) = a**3 - 15*a**2 + 16*a - 22. Let l = -114 + 128. Let m be y(l). Which is greater: 11/2 or m?
m
Let z(h) = h**2 + 17*h + 59. Let i be z(-5). Let m = -425 + 24223/57. Which is smaller: m or i?
i
Let v = 189 + -188.57. Let t = -0.448 + v. Do t and -0.1 have the same value?
False
Let x(t) = 6*t**2 - 5*t + 3. Let p(n) = -n**2 - 29*n - 27. Let z be p(-28). Let h be x(z). Is 13 at most h?
False
Let k(t) = t**3 + 4*t**2 + 5*t + 4. Let v be k(-3). Let z be 1 + -1 + (-2)/v. Let p = 1171220 + -18739525/16. Is z > p?
True
Let r be ((-28)/6)/1 + -2 + 3. Suppose -5 = -t, -4*h - 3*t - 69 = -8*h. Suppose 14*o + h = 7*o. Is o equal to r?
False
Let b(y) = -y**3 + 7*y**2 + 6*y - 41. Let q be b(7). Suppose -4*l - 3*j - 86 = -3*l, 3*j = -3*l - 288. Let m be 3/l*6/(-9). Are q and m non-equal?
True
Suppose -790 = -63*x + 722. Suppose -x + 22 = -2*w. Let y = 7803/35 + -223. Which is greater: y or w?
w
Let y be (-21 - (-8586320)/367980) + 14/(-6). Which is smaller: 0 or y?
0
Suppose 0 = 2*u + 3*u + 15, 4*l - 12 = 4*u. Let p = -8363/8687 - -11/511. Do l and p have the same value?
False
Let a = 1630 + -1629. Which is greater: 14/1369 or a?
a
Let p = -214.1448 + -0.8052. Let j = -215 - p. Are -21 and j unequal?
True
Suppose 5*r - 10 = 5*i, -4*r - 11*i + 9*i + 26 = 0. Suppose -r*b + 7*v = 8*v - 175, -v = -3*b + 97. Let j(c) = 34*c**2 - c. Let x be j(-1). Is b at most x?
True
Let w(a) = -3*a + 2. Let k be w(-16). Suppose -3*u + 2*l + k = 0, -4*u - 2*l + 31 = -17. Suppose -5 + 117 = u*v. Which is bigger: 10 or v?
10
Let h(i) = -26*i - 97. Let s be h(-4). Suppose 2*k - 9 = -s*k. Which is smaller: 2/53 or k?
2/53
Suppose 20817 = 363*p - 390*p. Are -771 and p unequal?
False
Let j = -23388/5 - -192763891/41210. Which is bigger: -1 or j?
j
Suppose -1516 = 3*l - 3*w - 8389, 4*l = -w + 9134. Which is greater
|
{
"pile_set_name": "DM Mathematics"
}
|
i = q + 508/5. Is d less than or equal to i?
False
Let i(s) = -4*s - 4*s - 2 + 3*s + 4*s. Let u be -5 + (-1 + -1)/(-1). Let d be i(u). Which is smaller: 0 or d?
0
Suppose 0 = u - 2*a - 15 - 7, -2*a - 48 = -2*u. Do -0.1 and u have different values?
True
Let f = -2/67 - 185/536. Which is smaller: f or 1?
f
Let n be 2/(-10) + 1 + (-21)/(-5). Is n greater than or equal to 2?
True
Let k be (-1)/4 + (-82)/(-8). Let d = 10 - k. Are -1 and d equal?
False
Let w = 16.3 - 17. Let v = w + 2.7. Is 0.1 greater than v?
False
Let k = 38 + -35. Let r be (0 - -8)/2 + -1. Is k != r?
False
Suppose 0 = 2*t - t. Let m be 2 + -2 + t + -2. Is m > 0.1?
False
Suppose -3 - 5 = -a. Let z be 7/(-9)*a/(-14). Which is smaller: 1 or z?
z
Let d = 0.93 - 0.83. Is 13 bigger than d?
True
Let t = -53/180 + 2/45. Let h = -9.18 - -2.18. Does t = h?
False
Let l be -3 - (-20)/2 - 0. Let j be (-1)/(2/10 + 0). Let i = j + l. Which is smaller: i or -3?
-3
Let d be (70/12)/7 + -1. Suppose 2*k - 4*u - 6 = 0, 0*u = -k + 4*u - 1. Suppose 4*r = 8*r + x - k, 5 = r - 3*x. Which is smaller: d or r?
d
Let x = 507 - 751. Let o = 1712/7 + x. Which is bigger: 0 or o?
o
Let u = 8 + -1. Let g = u - 5. Suppose -2*h = -2*i + g, -3*i - h - 4*h = -3. Is i < 1?
False
Suppose 6*v - 4*f + 2 = v, 2*v = f - 2. Let x(r) = r**3 + 3*r**2 - 2. Let g be x(-2). Let b be 2 - g*6/4. Which is greater: b or v?
b
Let g(x) = -x**2 - 10*x - 11. Let o be g(-9). Are -2 and o unequal?
False
Suppose 3*m + 21 = -3*s, 0 = 2*s + m + 3*m + 20. Let l be (8/(-18))/(s/6). Which is smaller: l or -1/2?
-1/2
Suppose i - 5 = -0*i. Suppose 0 = i*u - u. Is u less than 2/3?
True
Let u be (0/(2/(-1)))/1. Suppose u = -5*v + 4*v + 7. Which is bigger: v or -1?
v
Let h(l) = l**3 + 4*l**2 + 4*l. Let o be h(-2). Let v be 1 - (-1)/(21/(-23)). Which is greater: o or v?
o
Suppose -2*l - 5*g - 32 = -3*g, 2*l = g - 47. Let j = l + 83/4. Which is smaller: j or -1?
-1
Let u be 2/3*6/(-112). Which is bigger: 0 or u?
0
Let z be (1 + 15/(-6))*-2. Suppose -4*i = -z*i + 9. Let r be 2 - (-39)/i - -2. Is r less than or equal to -0.4?
False
Suppose 4*f = 5*d - 52, 6*f - 2*f - 2*d + 52 = 0. Is f >= -13?
True
Let a be (-1 - 2) + 73/27. Let n = a + 151/54. Which is smaller: 1 or n?
1
Let a(f) = f**2 - 3*f - 1. Let q be a(-2). Let i be 79/q - 6/(-27). Suppose 4*y - y = i. Is y < 0?
False
Suppose -2*w - 2*m - 8 = -4*w, 4 = -4*m. Suppose -3*v - o = -1 - 2, -3*o - 15 = -3*v. Let s be 1*v*(-2)/(-4). Is w bigger than s?
True
Let x = -17.6 + -0.4. Is 1 bigger than x?
True
Let j = -5 - -4.94. Which is smaller: j or 9?
j
Suppose w - 5*w - 84 = 0. Let n be (18/10)/(w/(-70)). Is n > 4?
True
Let w be (-6)/(-8)*12/18. Is -2 not equal to w?
True
Suppose -10*j - 8 = 22. Let h = -7 - -3. Which is smaller: h or j?
h
Suppose -2*u = -o + 163, 2*u + 2*o = -0*o - 172. Which is bigger: 0.1 or u?
0.1
Let w = 2/9 + 5/18. Let i = -18 - -16. Is i equal to w?
False
Suppose 0 = -5*g + 6*g - 18. Suppose -4*a - t + g = a, -t - 14 = -3*a. Let l be (a/10 - 1)/1. Is l greater than -1?
True
Let j(t) = -t**3 - 5*t**2 + t + 5. Let q be j(-5). Let g be (-4)/(-10) + 357/45. Let h = -269/33 + g. Which is smaller: h or q?
q
Let k = 64 + -63. Which is smaller: k or 1/156?
1/156
Let v be -161 + (-7)/(147/6). Let d = -69 - -230. Let m = d + v. Is 3 smaller than m?
False
Let p be ((-2)/(-132))/((-72)/4833) - -1. Which is bigger: p or 1?
1
Let r = -7.04 - -0.04. Which is greater: r or -1?
-1
Let m(d) = -d - 5. Let x be m(-8). Let l = -10 + 14. Let c = 6 - l. Which is smaller: c or x?
c
Let z(g) be the third derivative of g**5/20 + g**4/12 + g**3/6 - g**2. Let b be z(-1). Suppose 29 + 16 = 4*l + 5*q, b*q = 2*l. Is 4 not equal to l?
True
Let n be (-1)/5 + 33/15. Let c = -17 + 21. Suppose c = r - n. Which is smaller: r or 5?
5
Let m be (2/5)/((-2)/(-10)). Let v be 9 + 2/(m - 3). Which is smaller: v or 1?
1
Suppose 0 = 3*t + 4*p - 110, -t + p + 0*p = -25. Let w be t - 1 - 4/(-4). Let h be (-1)/(-5) + (-81)/w. Which is bigger: -3 or h?
h
Suppose 0 = -v - v + 10. Let t(s) = s**2 - 5*s - 1. Let y be t(5). Let u be (v/20)/(y/(-4)). Is u bigger than 2?
False
Let x = -1.5 + 1.4. Let y be ((-2)/(-4))/(2/12). Which is greater: y or x?
y
Let q(c) = -c**2 - 9*c + 14. Let p(t) = t**2 + 9*t - 3. Let v be p(-8). Let d be q(v). Which is greater: d or -1/2?
-1/2
Let b be (3/108*3)/1. Let h be (10/9)/(32/(-12)). Let v = b - h. Is 2 > v?
True
Let d(f) = -2*f - 21. Let q be d(-10). Which is
|
{
"pile_set_name": "DM Mathematics"
}
|
9/143
Two letters picked without replacement from mduddmduudumdududu. What is prob of picking 1 m and 1 u?
7/51
What is prob of picking 1 c and 1 m when two letters picked without replacement from mjcjjjjjcwcjc?
2/39
Three letters picked without replacement from {h: 12, q: 3}. Give prob of picking 3 h.
44/91
Two letters picked without replacement from {d: 4, r: 2, z: 5}. Give prob of picking 1 r and 1 z.
2/11
Three letters picked without replacement from sssyssswsssysssymoo. What is prob of picking 1 m and 2 s?
22/323
Calculate prob of picking 1 u, 1 l, and 1 h when three letters picked without replacement from uggghgpl.
1/56
Four letters picked without replacement from {a: 5, r: 4, i: 2}. What is prob of picking 2 a and 2 i?
1/33
Two letters picked without replacement from millvlivvv. What is prob of picking 1 l and 1 v?
4/15
What is prob of picking 1 m and 1 s when two letters picked without replacement from {a: 2, s: 2, r: 1, m: 2, x: 1}?
1/7
Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {l: 2, w: 1, o: 2, t: 1}.
1/20
Two letters picked without replacement from {n: 3, t: 1, p: 3, r: 5}. Give prob of picking 2 p.
1/22
Four letters picked without replacement from shssasasah. What is prob of picking 3 s and 1 a?
1/7
Four letters picked without replacement from {u: 2, t: 10}. Give prob of picking 1 u and 3 t.
16/33
What is prob of picking 1 d and 1 r when two letters picked without replacement from {d: 1, r: 19}?
1/10
Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {g: 3, w: 1, z: 7, j: 1, s: 2}.
2/13
Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {i: 1, x: 2, f: 3, m: 10}.
1/40
Two letters picked without replacement from rtrr. Give prob of picking 1 t and 1 r.
1/2
What is prob of picking 3 q when three letters picked without replacement from {q: 5, f: 7, i: 4}?
1/56
Three letters picked without replacement from nbpnnnqdqnqb. Give prob of picking 2 n and 1 b.
1/11
Calculate prob of picking 3 e and 1 m when four letters picked without replacement from emeeemmeeme.
14/33
What is prob of picking 2 i when two letters picked without replacement from iiyyiyyiiyyyyiiyii?
4/17
What is prob of picking 2 e and 2 a when four letters picked without replacement from {a: 3, e: 3}?
3/5
Three letters picked without replacement from {c: 3, y: 2, l: 3, m: 1, f: 3, o: 2}. What is prob of picking 1 f, 1 o, and 1 l?
9/182
What is prob of picking 2 y when two letters picked without replacement from vvvyxvvgvdyxgg?
1/91
Two letters picked without replacement from gcsgjbe. What is prob of picking 1 s and 1 j?
1/21
Two letters picked without replacement from frrr. Give prob of picking 1 f and 1 r.
1/2
Three letters picked without replacement from {n: 3, k: 2, s: 4}. What is prob of picking 1 n and 2 k?
1/28
What is prob of picking 1 n and 1 q when two letters picked without replacement from {z: 2, o: 1, e: 1, x: 1, q: 1, n: 1}?
1/21
Calculate prob of picking 4 p when four letters picked without replacement from pppppppppp.
1
Three letters picked without replacement from xnzxnzznzzx. What is prob of picking 2 x and 1 z?
1/11
Three letters picked without replacement from vvtggpvtpvuh. What is prob of picking 2 p and 1 v?
1/55
What is prob of picking 1 q, 1 p, and 1 m when three letters picked without replacement from {p: 1, d: 1, q: 1, m: 2}?
1/5
Calculate prob of picking 2 s and 1 k when three letters picked without replacement from osissdsssosski.
1/13
Four letters picked without replacement from {q: 2, m: 4}. Give prob of picking 3 m and 1 q.
8/15
What is prob of picking 1 u and 1 i when two letters picked without replacement from {r: 7, u: 3, i: 4}?
12/91
Two letters picked without replacement from gllgagal. What is prob of picking 1 g and 1 a?
3/14
What is prob of picking 2 a when two letters picked without replacement from {a: 2, c: 1}?
1/3
Two letters picked without replacement from yyllyyylyl. What is prob of picking 1 l and 1 y?
8/15
Three letters picked without replacement from wwrrww. What is prob of picking 2 w and 1 r?
3/5
What is prob of picking 1 s and 2 n when three letters picked without replacement from {n: 7, s: 2, x: 1, d: 2}?
21/110
Calculate prob of picking 1 y, 1 d, and 1 f when three letters picked without replacement from {d: 1, f: 2, y: 4}.
8/35
What is prob of picking 1 p and 3 w when four letters picked without replacement from pwwowwwwoowwwwwosow?
55/969
Two letters picked without replacement from {t: 1, r: 5, m: 3, d: 3, o: 2, l: 1}. Give prob of picking 1 t and 1 d.
1/35
Three letters picked without replacement from ggg. What is prob of picking 3 g?
1
Two letters picked without replacement from {r: 4, n: 2, u: 10, x: 3}. Give prob of picking 1 n and 1 x.
2/57
What is prob of picking 2 m, 1 u, and 1 d when four letters picked without replacement from {d: 1, l: 1, m: 5, u: 2, k: 1}?
2/21
Three letters picked without replacement from uqqqu. Give prob of picking 3 q.
1/10
Three letters picked without replacement from vxxvyynkxykx. Give prob of picking 1 k, 1 x, and 1 v.
4/55
What is prob of picking 2 w and 1 f when three letters picked without replacement from qwqjqwf?
1/35
Two letters picked without replacement from ahabaebbabbbbbbh. Give prob of picking 2 a.
1/20
What is prob of picking 1 a and 1 x when two letters picked without replacement from {g: 1, x: 1, k: 1, a: 1, b: 1, j: 2}?
1/21
What is prob of picking 2 m and 2 a when four letters picked without replacement from {a: 6, t: 6, m: 3, j: 1, h: 1}?
9/476
What is prob of picking 1 o, 1 p, and 2 z when four letters picked without replacement from zpvzhozzo?
2/21
Calculate prob of picking 1 w and 1 z when two letters picked without replacement from fotewetofezooeeow.
1/68
What is prob of picking 4 g when four letters picked without replacement from ppggppggpppggpggpgg?
35/646
What is prob of picking 1 y and 1 r when two letters picked without replacement from {r: 1, y: 2, t: 1, g: 2, h: 1}?
2/21
Calculate prob of picking 3 n and 1 x when four letters picked without replacement from {n: 4, x: 3}.
12/35
Two letters picked without replacement from nvgzo. Give prob of picking 1 z and 1 g.
1/10
Two letters picked without replacement from fyffy. What is prob of picking 2 y?
1/10
Three letters picked without replacement from {j: 4, e: 2}. What is prob of picking 1 e and 2 j?
3/5
Three letters picked without replacement from lkmimmmlkli. Give prob of picking 1 l, 1 m, and 1 i.
8/55
Four letters picked without replacement from vkabjbkaka. What is prob of picking 1 j, 1 v, and 2 k?
1/70
Calculate prob of picking 2 i when two letters picked without replacement
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(5)
Simplify -3 + (4*(sqrt(500)*2 + 3)*-6)**2 + -3.
69120*sqrt(5) + 1157178
Simplify (((-3 + sqrt(180))*-6 - -3*(sqrt(180) + 3 - sqrt(180)))*3)**2.
-17496*sqrt(5) + 64881
Simplify 4*((sqrt(500) - (sqrt(500) - -1*sqrt(500))) + 4 + sqrt(500) - ((sqrt(500) + sqrt(500) + 0)*-5 + sqrt(500)))**2.
2880*sqrt(5) + 162064
Simplify ((sqrt(1300) - (sqrt(1300) + 2)*-4 - sqrt(1300)) + sqrt(1300) + sqrt(1300) + (sqrt(1300) - (sqrt(1300) + (sqrt(1300) + -3 - sqrt(1300)))*-6))**2.
-2600*sqrt(13) + 219800
Simplify (6*sqrt(20)*1*3)/(sqrt(20)/(sqrt(10)/sqrt(2)*-4)).
-72*sqrt(5)
Simplify 4*(sqrt(21)/(sqrt(847)*2) + sqrt(9)/((sqrt(108) + sqrt(108)*1 - sqrt(108)) + sqrt(108) + sqrt(108)))**2.
400/3267
Simplify -2*(sqrt(13) + (sqrt(13) - (sqrt(130)/(sqrt(40)/sqrt(4)))**2)) + (sqrt(1300)*-2)**2 + (sqrt(130) + sqrt(130)*2)/sqrt(10).
-sqrt(13) + 5226
Simplify -2*(sqrt(363) + -1 + 1)*2.
-44*sqrt(3)
Simplify (((sqrt(119) - (1*sqrt(119) - sqrt(119))*-1)*-6)/(sqrt(4032)*-2))**2.
17/64
Simplify ((sqrt(3500) + sqrt(3500) + (sqrt(3500) + sqrt(3500)*-1 - sqrt(3500)))/sqrt(5))**2 - ((sqrt(847) - 4*(1 + sqrt(847))) + sqrt(847))**2.
-2704 - 176*sqrt(7)
Simplify 2*(5 + (1*(sqrt(931) + (sqrt(931) - sqrt(931)*-3 - sqrt(931))) - 5*(sqrt(931) + 2)))**2.
140*sqrt(19) + 1912
Simplify ((3*sqrt(400))/sqrt(8))/sqrt(10) + (2*(5 + sqrt(20)))**2.
180 + 83*sqrt(5)
Simplify -3*(sqrt(76)/(3*sqrt(4)) + sqrt(19)) + -6*(sqrt(76) - (0 + sqrt(76))**2).
-16*sqrt(19) + 456
Simplify -4*(-1 + 3 + -5 + sqrt(180)).
-24*sqrt(5) + 12
Simplify (sqrt(18) + -6*sqrt(1152))/sqrt(900).
-47*sqrt(2)/10
Simplify ((sqrt(180)/(-1*sqrt(484) - sqrt(484)))/(4*(sqrt(144)*2 - sqrt(144)) - sqrt(144)))**2.
5/69696
Simplify -2 + (-1 + sqrt(6)/sqrt(3) + 4 + -3)**2 + 5.
5
Simplify (3*(5 + -2*sqrt(1053)) - (sqrt(1053) - (sqrt(1053) - -1*sqrt(1053)*-1 - sqrt(1053)) - sqrt(1053) - (1 + sqrt(1053) + 0)))**2.
-1728*sqrt(13) + 38164
Simplify ((-1*sqrt(832) - sqrt(208)/sqrt(4)*3)/(sqrt(100)*2*3))**2.
637/900
Simplify -6*(3 + ((sqrt(24) - 5*sqrt(600))/(2*sqrt(36)/sqrt(3)))**2).
-1746
Simplify (0 + (-4*sqrt(68)*-2 - sqrt(68))/(sqrt(500)/sqrt(5)))**2.
833/25
Simplify ((sqrt(6300)*-3 - sqrt(6300)) + sqrt(6300))/(sqrt(90)/(sqrt(40)/sqrt(4))).
-30*sqrt(7)
Simplify ((4*(sqrt(110)*2 - sqrt(110)) + sqrt(110) + sqrt(110) + sqrt(110))/(sqrt(90)/(sqrt(9)*1 + sqrt(9)))*-4)**2*-5.
-172480
Simplify -1 + ((2*sqrt(1125))**2 - sqrt(1125) - (-1 + 0 + sqrt(45))).
-18*sqrt(5) + 4500
Simplify 0 + 0 + 2*((2 + sqrt(98))**2 + -5) + 4.
56*sqrt(2) + 198
Simplify (6*(sqrt(180) + sqrt(180)*2 - (sqrt(5) + -2 + sqrt(605))) + 5 + -1)**2.
1152*sqrt(5) + 6736
Simplify -5 + ((3*(sqrt(1617) + sqrt(1617) + sqrt(1617)*2))/((sqrt(120)*1)/sqrt(10)))**2.
19399
Simplify (2*(2*(-1 + sqrt(19)) - sqrt(931)*2))**2.
192*sqrt(19) + 10960
Simplify (sqrt(98)*-2 - (-5 + (sqrt(18) - sqrt(2) - sqrt(2)))) + -4 + sqrt(12)/(-1*sqrt(6)*-5).
-74*sqrt(2)/5 + 1
Simplify (6*sqrt(1300))/(sqrt(40)/(sqrt(50)/sqrt(5))).
30*sqrt(13)
Simplify ((sqrt(170)*-1)/sqrt(10))**2 + ((sqrt(187)*2)/sqrt(11))**2 + sqrt(1700) + 2*(5 + sqrt(1700)).
95 + 30*sqrt(17)
Simplify 4 + (((sqrt(162) - (-1 + sqrt(162) + sqrt(162)))*4 - 1*sqrt(162)*-1)*1)**2.
-216*sqrt(2) + 1478
Simplify (2*(-1 + sqrt(1377) + -2 - (sqrt(1377)*-3 + sqrt(1377) + -3)))**2*2.
99144
Simplify 0 + (sqrt(192) + -3)**2*2 + -5*(sqrt(3) + sqrt(9)/sqrt(3) + -4).
-106*sqrt(3) + 422
Simplify ((sqrt(102)/sqrt(3)*-6)/(5*sqrt(20)/sqrt(10)))**2.
612/25
Simplify -1*(1 + (sqrt(17) - (1 + sqrt(17)))**2) + (2*(sqrt(833) + 3))**2.
168*sqrt(17) + 3366
Simplify (-2 + (sqrt(7) - sqrt(28)/sqrt(4)))*4 + -1*sqrt(252) + 4.
-6*sqrt(7) - 4
Simplify -2*(5*(0 + sqrt(162)) + sqrt(162) + -2*sqrt(162) + -3 + -2)**2.
-5234 + 720*sqrt(2)
Simplify (-4 + 5 + sqrt(605) + 0 + sqrt(605))**2 - (sqrt(80) + (sqrt(80) + 0 + sqrt(80) + sqrt(80))*-1 + sqrt(80) + (1 + sqrt(80))*-3).
60*sqrt(5) + 2424
Simplify ((sqrt(153))**2 - sqrt(17))*2 + -1 + sqrt(85)/sqrt(5) + sqrt(17) - (sqrt(17) + -2*sqrt(425))*-5.
-45*sqrt(17) + 305
Simplify 2 + sqrt(11)*-1 + (3 + sqrt(891))**2 + ((sqrt(132) + 2*sqrt(132) + sqrt(132))*-3 + sqrt(132))/sqrt(12)*-4.
97*sqrt(11) + 902
Simplify -5*(-4 + (5 + (1*(sqrt(153) - sqrt(153)*-1) - sqrt(153)))*-1)**2.
-1170 - 270*sqrt(17)
Simplify ((sqrt(5) + 1)*5 - (sqrt(5) - ((sqrt(15)*3)/sqrt(3))**2)) + (sqrt(480)/(sqrt(128) - sqrt(8)))/((sqrt(132) + sqrt(132)*1 + sqrt(132))/sqrt(11)).
37*sqrt(5)/9 + 50
Simplify ((sqrt(450)/(-3*sqrt(10)))/(sqrt(9) + (sqrt(9) - (sqrt(9) - 5*(sqrt(9) - sqrt(324)))))*1)**2.
5/5184
Simplify -3
|
{
"pile_set_name": "DM Mathematics"
}
|
5}. Give prob of sequence qqq.
1
What is prob of sequence kc when two letters picked without replacement from trckvvvvvrsvtrvrvvrr?
1/380
What is prob of sequence rth when three letters picked without replacement from {o: 8, h: 5, t: 1, r: 5}?
25/5814
Four letters picked without replacement from xjxsjava. What is prob of sequence sjvx?
1/420
Four letters picked without replacement from {v: 6}. What is prob of sequence vvvv?
1
Three letters picked without replacement from {n: 3, t: 6, f: 6}. Give prob of sequence fft.
6/91
What is prob of sequence iiii when four letters picked without replacement from iicciiiiciciiiciiiii?
91/323
What is prob of sequence nnb when three letters picked without replacement from {r: 2, b: 2, n: 5}?
5/63
Four letters picked without replacement from {k: 4, n: 2, a: 3, p: 2, g: 2, i: 3}. Give prob of sequence ikkp.
3/1820
What is prob of sequence cx when two letters picked without replacement from {x: 11, k: 2, c: 1, s: 1, o: 1}?
11/240
Four letters picked without replacement from xtxxwwwxnxtx. What is prob of sequence txwx?
1/66
Three letters picked without replacement from {j: 2, a: 2, w: 1, n: 1, f: 4}. Give prob of sequence jnj.
1/360
Two letters picked without replacement from {f: 3, q: 4, l: 3, c: 1, n: 1, h: 3}. What is prob of sequence qh?
2/35
Calculate prob of sequence tc when two letters picked without replacement from {t: 2, f: 1, c: 2, m: 1, o: 1, s: 1}.
1/14
Calculate prob of sequence ccc when three letters picked without replacement from {p: 7, c: 4, h: 1, b: 1, j: 5, k: 1}.
4/969
What is prob of sequence ghg when three letters picked without replacement from gggggeggggghgggg?
13/240
What is prob of sequence gv when two letters picked without replacement from vvggvvvvvvvgvggvvvg?
13/57
Four letters picked without replacement from jjjj. What is prob of sequence jjjj?
1
Two letters picked without replacement from thhhbbhhtt. What is prob of sequence bb?
1/45
Three letters picked without replacement from cdd. What is prob of sequence dcd?
1/3
Two letters picked without replacement from {u: 1, v: 1, z: 1, p: 1, n: 1}. What is prob of sequence vu?
1/20
Calculate prob of sequence mwmm when four letters picked without replacement from mwwmm.
1/10
Four letters picked without replacement from {h: 1, v: 1, z: 1, r: 1, y: 5}. What is prob of sequence rvyr?
0
Two letters picked without replacement from {a: 3}. What is prob of sequence aa?
1
Calculate prob of sequence aaaa when four letters picked without replacement from {d: 6, a: 1, c: 7}.
0
What is prob of sequence cvv when three letters picked without replacement from cvvyv?
1/10
Two letters picked without replacement from lara. Give prob of sequence la.
1/6
Calculate prob of sequence dddw when four letters picked without replacement from {w: 2, d: 16}.
14/153
Three letters picked without replacement from exxexxxxwxexxexxxxex. Give prob of sequence eex.
7/171
Two letters picked without replacement from zmmmzmzzmmzzzzmmmzmm. Give prob of sequence mz.
99/380
Four letters picked without replacement from {b: 1, w: 1, l: 3, j: 1, q: 1}. What is prob of sequence qwlj?
1/280
Calculate prob of sequence jk when two letters picked without replacement from llkkulujl.
1/36
What is prob of sequence axjx when four letters picked without replacement from axjaxxjaaxaxx?
5/286
What is prob of sequence did when three letters picked without replacement from {b: 1, i: 1, h: 2, u: 2, d: 2}?
1/168
What is prob of sequence wm when two letters picked without replacement from mmmmmww?
5/21
Three letters picked without replacement from yyxyyyxxxyyxy. Give prob of sequence xyy.
70/429
Four letters picked without replacement from mmiyiyiyihyiymy. Give prob of sequence ymmy.
1/182
Two letters picked without replacement from {w: 9, r: 2}. Give prob of sequence wr.
9/55
Two letters picked without replacement from nbndnninnbhbhd. What is prob of sequence hn?
6/91
Three letters picked without replacement from hzz. What is prob of sequence zhz?
1/3
Two letters picked without replacement from {d: 1, k: 5, r: 7}. What is prob of sequence rk?
35/156
Three letters picked without replacement from ppplplplpppppp. What is prob of sequence lll?
1/364
Calculate prob of sequence yf when two letters picked without replacement from afya.
1/12
Calculate prob of sequence exv when three letters picked without replacement from {h: 1, e: 1, x: 3, v: 2}.
1/35
Three letters picked without replacement from {w: 2, z: 10, k: 3}. Give prob of sequence zkk.
2/91
What is prob of sequence uott when four letters picked without replacement from twworwowwvtwuro?
1/5460
Two letters picked without replacement from dddbdssddbdssbb. What is prob of sequence bd?
2/15
What is prob of sequence ajjj when four letters picked without replacement from {a: 4, j: 16}?
112/969
What is prob of sequence hww when three letters picked without replacement from hwhhhwhwwwwh?
3/22
Three letters picked without replacement from {y: 1, i: 1, l: 1, t: 1, m: 1, o: 2}. What is prob of sequence yio?
1/105
What is prob of sequence ud when two letters picked without replacement from quqdd?
1/10
Calculate prob of sequence ny when two letters picked without replacement from {n: 2, a: 1, x: 1, p: 1, y: 1, r: 1}.
1/21
Two letters picked without replacement from {i: 7, j: 1, g: 2}. Give prob of sequence ij.
7/90
What is prob of sequence qq when two letters picked without replacement from {e: 1, s: 7, q: 4, a: 1}?
1/13
Calculate prob of sequence pt when two letters picked without replacement from {t: 1, e: 4, a: 2, m: 1, u: 3, p: 1}.
1/132
Two letters picked without replacement from slllllsll. What is prob of sequence ll?
7/12
What is prob of sequence dmwd when four letters picked without replacement from dglwdmwkk?
1/756
Two letters picked without replacement from {i: 3, w: 3, c: 1, x: 8, r: 3, z: 1}. What is prob of sequence cx?
4/171
Two letters picked without replacement from {f: 14, p: 5}. Give prob of sequence fp.
35/171
What is prob of sequence ccc when three letters picked without replacement from agcpcccpaxcp?
1/22
Two letters picked without replacement from {i: 10}. What is prob of sequence ii?
1
Three letters picked without replacement from {m: 5, q: 11}. Give prob of sequence qqm.
55/336
Calculate prob of sequence hhhg when four letters picked without replacement from hzghzzgzrgghg.
1/572
Two letters picked without replacement from ahhhhaahaaha. Give prob of sequence aa.
5/22
Two letters picked without replacement from {o: 3, e: 1, r: 1, y: 2}. What is prob of sequence ry?
1/21
Two letters picked without replacement from cclcaldct. What is prob of sequence da?
1/72
Calculate prob of sequence saf when three letters picked without replacement from {f: 1, x: 1, j: 5, a: 1, n: 3, s: 1}.
1/1320
Two letters picked without replacement from {i: 4, p: 1, a: 3}. What is prob of sequence aa
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is the closest to 5/6? (a) -2/161 (b) -6 (c) 5 (d) -3
a
What is the closest to 1 in -5, -141, 2, -4/9?
2
Which is the nearest to -0.04? (a) -0.023 (b) -26 (c) 5
a
Which is the nearest to -0.1? (a) -0.4 (b) 0 (c) -2 (d) 27942
b
Which is the nearest to -48? (a) -4 (b) 15 (c) -1/3 (d) 0.04
a
Which is the closest to 0.6? (a) 5 (b) 6/107 (c) -9/5
b
What is the nearest to 2 in -5, 2/13, 2, 0?
2
What is the closest to -8 in 2/7, 12673, -2?
-2
Which is the nearest to -1? (a) 0.04 (b) 0.5 (c) -1/22 (d) -2 (e) -11
c
What is the nearest to 26 in -0.5, -21, -3, 0.3, -6?
0.3
Which is the closest to -1/2? (a) -1/60 (b) 0.1 (c) -10 (d) -4
a
Which is the closest to -2? (a) 0.3 (b) 3628 (c) -0.3
c
Which is the nearest to 0.1? (a) 2.095 (b) 0.3 (c) 4 (d) -0.2
b
What is the closest to -1 in 5, 0.2, 3/10, -5, -27?
0.2
Which is the closest to -2/9? (a) 1/6 (b) -3 (c) 3 (d) 185
a
Which is the nearest to 9? (a) 0.02 (b) -0.026 (c) 0.4
c
Which is the nearest to -442? (a) 0.1 (b) 4/5 (c) 2 (d) 1/31
d
What is the closest to 4 in 0.3, -3, -5/4, -2, 1/20?
0.3
Which is the nearest to -6? (a) 0.8 (b) -0.3 (c) 17 (d) 20 (e) -0.01
b
What is the closest to 0 in -3, 0.04, 0.205?
0.04
What is the closest to 29 in -0.3, -90, 4?
4
Which is the nearest to 2/7? (a) 1/4 (b) 0.2 (c) 1420 (d) -2/19 (e) 4
a
What is the nearest to 1 in 8476, 2/7, -1?
2/7
What is the nearest to -3 in 2/15, 0.5, 23?
2/15
What is the nearest to 1/4 in -63/4, 4, -3?
-3
Which is the nearest to 41? (a) 2/41 (b) -2.6 (c) -4/3
a
What is the closest to 6 in 0, 5/3, 2/15, 9, 2129?
9
What is the closest to -13 in 0.4, -76, 4, -1/4, 2/7?
-1/4
Which is the nearest to -4? (a) 0.4 (b) 5 (c) -2 (d) -0.239 (e) 0.1
c
What is the nearest to -2/7 in -374152, 0.3, -2/3?
-2/3
Which is the closest to -1? (a) 2 (b) -26 (c) -1.1 (d) -0.5
c
What is the nearest to 528/5 in -2, 3, -5?
3
What is the nearest to 6 in 1/2, -5, 621?
1/2
What is the nearest to -1/9 in 1368/13, 0.1, 2/5?
0.1
What is the closest to -0.1 in -6, -1/2, 304/3?
-1/2
What is the closest to 0 in 2278, -5, 5/3, 7?
5/3
What is the nearest to -0.4 in -2, -2/25, 77, 4?
-2/25
What is the closest to -11.8 in 1.6, -0.5, 0.3, 5?
-0.5
What is the nearest to 2/33 in 0.2, -4/9, 9.9?
0.2
What is the closest to -13 in -3/4, -0.1, 0, 0.4, 0.2?
-3/4
What is the nearest to 2 in 4, 6/11, -8, 10?
6/11
Which is the closest to -5? (a) 3430 (b) 1/5 (c) -0.4
c
What is the nearest to 0 in 3, 1/15, -0.02, 0.2?
-0.02
What is the nearest to -136 in 5, 0.3, 1/14, 28, -5?
-5
What is the nearest to 2685 in 2/9, 4, 21/5?
21/5
What is the nearest to 41 in 7, -5, -3, 17, 0?
17
Which is the closest to 26? (a) -2 (b) -231 (c) 3 (d) 4
d
Which is the nearest to 22/3? (a) -2 (b) -4/173 (c) -2/13
b
Which is the closest to 0? (a) -1/7 (b) 3 (c) -1/6 (d) -2
a
Which is the closest to 0.1? (a) 1.4 (b) -0.4 (c) 1 (d) 2/67
d
Which is the closest to -2/89? (a) -13 (b) 1/6 (c) -4/7 (d) -2 (e) 1/7
e
Which is the nearest to 1956? (a) 0.9 (b) 3 (c) -2/7
b
Which is the nearest to -2/3? (a) 1.2 (b) 0.22 (c) -5 (d) 1/1605 (e) 2
d
Which is the nearest to -21/5? (a) 2/9 (b) -7 (c) 0.24
b
Which is the nearest to -5? (a) -0.025 (b) 7 (c) 0.1
a
What is the nearest to -0.1 in -18, 5, 26.7, -1/2?
-1/2
What is the nearest to 0.3 in -1.76, -2/5, -6, 5, -229?
-2/5
What is the closest to -1 in -17, -2, -19, 0.035?
-2
What is the closest to 2/25 in -0.18, -0.5, 10, -29?
-0.18
Which is the nearest to 2? (a) 0.001 (b) 1/2 (c) -7/3
b
Which is the closest to 16? (a) -2 (b) -1/12 (c) 2/11
c
What is the nearest to -2 in 1, 66, 1/52?
1/52
Which is the closest to 1? (a) -3 (b) 10 (c) -430 (d) -4
a
What is the nearest to -4 in -0.3, 2, 11, 3/5?
-0.3
What is the closest to 0.1 in -7, -5, 1.5, 11, -0.3?
-0.3
Which is the nearest to -1? (a) -1/4 (b) -0.1 (c) 4 (d)
|
{
"pile_set_name": "DM Mathematics"
}
|
l + -0.83. Round o to five dps.
-0.00011
Let x = 0.9 + 189.1. Let c = -190.0111 + x. Round c to three decimal places.
-0.011
Let u = 21 + -36. Let s = u - -8. Let z = 5 - s. Round z to the nearest ten.
10
Let j = 81.7 + -82.794. What is j rounded to 1 decimal place?
-1.1
Let q = -19.6 - -19.6226. Let r = -0.2484 - q. What is r rounded to 2 dps?
-0.27
Suppose l - 4*t + 9*t + 71 = 0, -4*l - 320 = 2*t. Let p = 334 + -125. Let s = l + p. Round s to the nearest 10.
130
Let a be 2/(-12) + (-65)/(-30). Suppose -a*h - h + 27000 = 0. What is h rounded to the nearest ten thousand?
10000
Let n = 0.5 - 26.6. Round n to the nearest 10.
-30
Let p = -0.7 - -0.95. Let u = p + -0.12. Let c = -0.1300017 + u. Round c to six decimal places.
-0.000002
Let w = 5 + -6. Let m be 3*w - (650 - 5). Let h be 100/8*m/(-10). What is h rounded to the nearest 100?
800
Let f = -0.9667 + -0.0353. What is f rounded to one dp?
-1
Suppose 0 = -3*d - x + 2396998, 4*x = -2*d + 1510878 + 87114. Round d to the nearest one hundred thousand.
800000
Let w = 19315123 - 10849123. Round w to the nearest one million.
8000000
Let j = 9 - 19. Let d = j + 14. Let g = 4.00000002 - d. What is g rounded to 7 dps?
0
Suppose 0 = 5*p + 3*s - s - 1283, p = s + 251. What is p rounded to the nearest one hundred?
300
Let n = -2889 + 2855.78. Round n to the nearest integer.
-33
Suppose 0*k = -2*k + 6, 2*v - 5*k + 1 = 0. Let h(t) = -1202*t**2 - 15*t + 3. Let z be h(v). Round z to the nearest ten thousand.
-60000
Let d = 84 - 15. Let q = d - 68.793. Let h = 0.19 - q. Round h to three decimal places.
-0.017
Let q = 14 - 14.14. Let p = -11693268.13999989 - -11693268. Let s = q - p. Round s to 7 dps.
-0.0000001
Let f = -34015 + 8625. What is f rounded to the nearest 1000?
-25000
Let k = 12 - 11. Let c = k + -1.000033. What is c rounded to five dps?
-0.00003
Let k be (3996/45 + 0)/(2/1750). What is k rounded to the nearest one thousand?
78000
Suppose 0 = n - 4*r + 1745008, -4*n = -n - 5*r + 5235010. Round n to the nearest 100000.
-1700000
Let i = -35.9962 - -36. Round i to two decimal places.
0
Let x = -1249833.0877 + 1302973.59. Let p = 53138 - x. Let k = -2.5 - p. What is k rounded to 3 dps?
0.002
Let p = -85 + 86.59. Let w = p - 1.590308. Round w to 5 decimal places.
-0.00031
Let z be (-7)/(56/16) - -970002. What is z rounded to the nearest one hundred thousand?
1000000
Let p = -95186.995 - -94972. Let h = p + 213. Let u = h - -2. Round u to 2 decimal places.
0.01
Let b = 14.43000264 - 14.43. Round b to five dps.
0
Let t = 94 + -261. Let z = 167.000092 + t. What is z rounded to four dps?
0.0001
Let d = -1453 - -4509. Round d to the nearest one thousand.
3000
Let a be 5 - ((2 - 4) + 3). Suppose -b + a*u = -26985, 0*b - 2*b = -u - 53970. Suppose -m + 4*m - b = 5*h, m = 4*h + 21595. Round h to the nearest 1000.
-5000
Suppose -z + 6*p + 317001 = 5*p, -z - 5*p + 316995 = 0. Round z to the nearest ten thousand.
320000
Let q = 12.78 + -115.28. What is q rounded to the nearest 10?
-100
Let c = 103046136.79538 + -103110016.25537999. Let u = -63879.6 - c. Let q = 0.14 + u. What is q rounded to 7 dps?
0
Let a = 0.434 + -0.434000269. What is a rounded to 7 dps?
-0.0000003
Let c be 8/(-20) + (-141918)/5. Let p = c + 18084. Round p to the nearest one thousand.
-10000
Let c be (2/(-12) - (-110)/(-60))/(-2). Let w be ((-366)/(-9) + 1)/(c/(-1536)). What is w rounded to the nearest one hundred thousand?
-100000
Let v = 491192 + 6158803. Let y = -1621482 + 2951507. Suppose -a + y = 4*d + d, -5*a + d + v = 0. What is a rounded to the nearest one hundred thousand?
1300000
Let l = 44.3 + -4.3. Let d = l + -39.9984. What is d rounded to four dps?
0.0016
Let o = 42236 + -41977.81. Let s = o + -6.29. Let t = 266 - s. Round t to zero decimal places.
14
Let h = 2 + -1.72. Let n = 114438.280036 - 114438. Let i = n - h. Round i to 5 decimal places.
0.00004
Let y = -7593 - -2423. What is y rounded to the nearest 100?
-5200
Let a = 0.109 + 10.291. Let j = a + -10.4094. What is j rounded to 3 decimal places?
-0.009
Let h = 17 + -74. Let z = -56.898 - h. Round z to two dps.
0.1
Suppose 0 = 4*d - 4155017 - 3293451. Let q(w) = -245549*w + 20. Let l be q(13). Let i = l + d. Round i to the nearest 100000.
-1300000
Let d = 13.233 - -0.067. Let h = -17 + d. Let y = h + 3.719. What is y rounded to 2 dps?
0.02
Let c = -7282009 - -3237847. Let y = c + 4044162.5000023. Let q = -0.5 + y. Round q to six decimal places.
0.000002
Let q = -17 - -26. Suppose -2*k + 4*g = 0, 4*k = 4*g + g + q. Suppose 7*t = k*t - 1890000. Round t to the nearest 100000.
-1900000
Let y = 14.51 + -14.51000766. Round y to 6 decimal places.
-0.000008
Let y = 629.96 - 678. Round y to zero decimal places.
-48
Let x = 1257665012.99999445 - 1257665045. Let k = x - -32. Round k to six decimal places.
-0.000006
Let y = -0.473 + 0.66. Let u = 0.8511 - -8.2619. Let q = u + y. Round q to the nearest integer.
9
Let j = -0.0869 - -0.0709. Round j to three decimal places.
-0.016
Let p = -1838 + -12997. Let f = p - -22835. Round f to the nearest 10000.
10000
Let j(u) = 6*u**2 + 7*
|
{
"pile_set_name": "DM Mathematics"
}
|
/32
Calculate -37323 divided by 1131.
-33
What is -16080 divided by -6?
2680
Calculate -104715 divided by 1611.
-65
Calculate -51590 divided by -5159.
10
Divide -9394 by -122.
77
1 divided by -470908
-1/470908
Calculate -16750 divided by 1.
-16750
What is 89401 divided by -13?
-6877
Divide 1097 by -1139.
-1097/1139
Divide -17776 by 1616.
-11
Divide 2942 by -1471.
-2
Divide -312480 by -12.
26040
-231210 divided by 46242
-5
Calculate 3391296 divided by -24.
-141304
Calculate -7 divided by 2326.
-7/2326
Divide -475 by 532.
-25/28
Divide -756 by -36.
21
Divide 7 by 7.
1
16 divided by -6332
-4/1583
What is -2539866 divided by -5194?
489
-44 divided by 2961
-44/2961
What is -2239 divided by -2239?
1
What is 36644 divided by -6?
-18322/3
-32484 divided by 4
-8121
985 divided by -23
-985/23
What is 42 divided by -30?
-7/5
Divide 21 by 108243.
7/36081
Calculate 4911 divided by 148.
4911/148
What is 8257 divided by -14?
-8257/14
936020 divided by -2
-468010
-404 divided by 21
-404/21
Divide 1 by -2056.
-1/2056
What is 5 divided by 72473?
5/72473
265383 divided by 1
265383
What is 854532 divided by -126?
-6782
-13029 divided by 129
-101
What is -306 divided by 7?
-306/7
-109908 divided by 6106
-18
What is -28024735 divided by 5?
-5604947
Divide -47700 by -12.
3975
Divide -297 by -1716.
9/52
2822412 divided by 3
940804
Divide -1192464 by -28.
42588
Divide 258060 by -3.
-86020
What is -21635 divided by -1?
21635
Calculate -756300 divided by 15126.
-50
What is -1203540 divided by -200590?
6
Calculate -3 divided by 7819.
-3/7819
Calculate -566 divided by -78.
283/39
Divide -6 by -248025.
2/82675
10 divided by 55230
1/5523
4 divided by -3239
-4/3239
Calculate -16820 divided by 116.
-145
What is 362445 divided by 4965?
73
What is 26 divided by -3877?
-26/3877
Calculate 5117 divided by 119.
43
What is -31724 divided by 15862?
-2
Divide 6706 by -3.
-6706/3
4374 divided by 2
2187
Divide 127 by 8361.
127/8361
Divide 875401 by 10547.
83
What is 142 divided by 1638?
71/819
What is -12816 divided by 3?
-4272
Divide 533088 by 4936.
108
-264325 divided by -5
52865
Divide -878733 by 1467.
-599
What is -3135 divided by 55?
-57
Calculate -10 divided by -244.
5/122
2877543 divided by 4
2877543/4
89024 divided by -1
-89024
118145 divided by 1
118145
Divide 179 by -409.
-179/409
What is 965 divided by 43?
965/43
Divide 53453 by 1.
53453
Divide 187839 by -5.
-187839/5
Divide -22008 by -168.
131
Calculate 32769 divided by -3.
-10923
Divide -2 by -61620.
1/30810
1126060 divided by -710
-1586
374 divided by 188
187/94
Calculate 762 divided by -374.
-381/187
What is -161427 divided by -2?
161427/2
Calculate -2311608 divided by -3224.
717
11 divided by -17118
-11/17118
Calculate -504 divided by -22.
252/11
Divide -94 by -955.
94/955
What is 26190 divided by 13095?
2
558975 divided by 7453
75
What is -97718 divided by -48859?
2
596 divided by 730
298/365
Divide 26310 by 6.
4385
What is 1584504 divided by -24?
-66021
Divide -1825920 by 3804.
-480
Calculate -117 divided by 7067.
-117/7067
Divide 62430 by -20810.
-3
Calculate -96 divided by -2622.
16/437
Divide 581908 by -4.
-145477
1825 divided by -468
-1825/468
-150463 divided by 5
-150463/5
Divide 4230350 by -169214.
-25
Calculate 305901 divided by -41.
-7461
What is -21828 divided by -4?
5457
What is -987252 divided by -42924?
23
4414288 divided by 6
2207144/3
Calculate 2122616 divided by 4.
530654
400960 divided by 5728
70
What is 3564204 divided by -254586?
-14
Divide -2 by -14387.
2/14387
Divide 2232554 by 6.
1116277/3
Calculate 25480 divided by -6370.
-4
What is -244034 divided by 5?
-244034/5
Calculate 253492 divided by 998.
254
Divide -297 by -345.
99/115
2736184 divided by -1496
-1829
129801 divided by 129801
1
What is -910 divided by -91?
10
What is 321987 divided by -87?
-3701
Divide 4023816 by 6.
670636
Divide 6 by 36258.
1/6043
Divide -7252 by 736.
-1813/184
Divide -1 by -1739702.
1/1739702
-325466 divided by -6
162733/3
What is -390 divided by -2184?
5/28
What is -12 divided by -19035?
4/6345
Divide 426 by -4799.
-426/4799
631236 divided by -7698
-82
Divide 98572 by 2594.
38
What is -2620 divided by -294?
1310/147
Divide -13959 by 11.
-1269
295840 divided by 688
430
Divide 252810 by 8.
126405/4
-29224 divided by 13
-2248
What is -106470 divided by -35490?
3
Calculate -5 divided by -52417.
5/52417
Divide -14 by -30314.
7/15157
Divide -9973 by 16.
-9973/16
Divide -65406 by 66.
-991
Divide 12 by 1541.
12/1541
What is 12518 divided by 1?
12518
-6 divided by -270960
1/45160
Divide 4695 by 121.
4695/121
18 divided by 6931
18/6931
40 divided by 19110
4/1911
-73766 divided by 22
-3353
Divide -224 by 34.
-112/17
Divide -45916 by -5.
45916/5
Calculate 3 divided by -3668.
-3/3668
What is 163398 divided by -482?
-339
What is 62 divided by 2674?
31/1337
Divide -8139612 by -4.
2034903
6634955 divided by -1326991
-5
What is 2098300 divided by 4?
524575
Calculate -258 divided by 1974.
-43/329
Calculate -115 divided by -1295.
23/259
Divide -672334 by -51718.
13
43776 divided by 48
912
What is 6 divided by 702?
1/117
Divide -66170 by -
|
{
"pile_set_name": "DM Mathematics"
}
|
is smaller: k or s?
s
Suppose -h + 16 = 3*g - 55, 25 = g + h. Are g and -49 unequal?
True
Let v = 28510 - 27400. Which is greater: v or -1?
v
Suppose -j - 1187*w + 1183*w = 1633, 0 = -w - 3. Which is smaller: j or -1622?
-1622
Suppose 29*l - 3 = 26*l. Let q = 3327944/99 + -33615. Let u = 9/11 - q. Which is smaller: l or u?
u
Suppose -3*z = 2*q - 5770, -40*q + 42*q + 5774 = 3*z. Which is smaller: 1920 or z?
1920
Let z be (-16797)/(-748) + -17 - 5. Is 0 < z?
True
Let u = -27.89 - 18.73. Let s = -0.38 + u. Let b = s + 57. Which is greater: b or 3?
b
Suppose -4*x = -d - 1, 3*d + d = -3*x + 91. Suppose 5*i + 4*o = 504, -295 = -3*i + o + 4*o. Suppose -w + i = 4*w. Which is bigger: w or d?
w
Suppose 5*s = -j - 1275, -2*j - 4*s - 2957 = -419. Is -1265 bigger than j?
False
Let y be (-3)/((-3)/((-12)/(-22)) - -4). Suppose -y*d = 3*a - 7, 0 = 5*a - a + 2*d - 6. Which is greater: a or -10?
a
Let q = -586 + 486. Let h(g) = -7*g**2 + 4*g - 5. Let r be h(4). Which is greater: q or r?
q
Let l be ((-12)/(-56))/((-10)/(-1380)). Is 30 >= l?
True
Let s be 4/(-2) + (75 - 2) - -2. Let x = -83 + s. Let t be (-2 - x - 76) + 3/(-1). Which is bigger: t or -72?
t
Let y(q) be the second derivative of -q**3/6 - 3*q**2 + 11*q. Let k be y(-8). Let u(g) = -g**3 + 3*g**2 - g. Let a be u(k). Are a and 1 unequal?
True
Let x = 538.9 + -452.9. Let v = -840 + 754.1. Let f = v + x. Which is smaller: 30 or f?
f
Let o = -15.79 + 15.5. Let g = o - -0.29. Which is bigger: g or 80?
80
Suppose 0 = -6*h + 7*h - 2*m - 6, -2*h + 10 = -3*m. Let r be (6 - 3)/1 + (0 - h). Which is greater: r or 6/17?
r
Suppose 13*s = 2*s. Let q be s*6/(-90)*5. Which is smaller: -8/95 or q?
-8/95
Let n = 16 + -24. Let y be (-144)/n*3/6. Let r be y/15 + (-756)/35. Is -21 at least r?
True
Let l be (-38)/24 - (0 + -2). Let w = -39 - -39. Which is smaller: l or w?
w
Suppose 2935*d = 3884*d - 91104. Let w = -7 - -106. Is w less than d?
False
Suppose 138*c - 205 = -67*c. Is 35/32 equal to c?
False
Let n be 2/(-11) + (10237/1595 - 6). Is 1 less than n?
False
Let c(u) = 9*u**2 - 282*u + 27. Let g be c(28). Is -813 not equal to g?
False
Suppose 6*o = 43 - 163. Let g = 0.039 + -0.003. Let h = g + 0.164. Which is greater: h or o?
h
Let f = -338 - -480. Let a = -134 + f. Which is bigger: a or 13?
13
Let x = -205/38 + 18011/190. Let s = -124271/1390 + x. Which is smaller: 1 or s?
s
Let m be (2 - 15/6)/(2/(-40)). Suppose -m*s = -26 + 96. Do -1/13 and s have the same value?
False
Suppose 0 = 4*k - 2*c - 932, 4*c + 159 + 1009 = 5*k. Let q = 368 - k. Which is greater: 137 or q?
137
Let d = -28/51 + -2/17. Let y = 13.5 - 14. Let l = 10.5 + y. Which is greater: l or d?
l
Let b = -250 + 456. Let c = 298 - b. Which is smaller: 90 or c?
90
Suppose -2*z = 31 + 87. Let d = 1521 + -1377. Suppose 0 = -145*a + d*a - 4, -4*t = 3*a + 248. Are t and z nonequal?
False
Let x(m) = 41*m**3 + 2*m**2 - 6. Let h be x(2). Suppose w - 20 + 15 = 0, 5*w = -5*t + h. Is 60 less than or equal to t?
True
Suppose -4*o + 24 + 16 = 0. Let z = 4 + o. Suppose 6*p - z - 70 = 0. Is 14 smaller than p?
False
Suppose 3796 + 464 = 15*c. Let u = -268 + c. Suppose j + j = 34. Is u <= j?
True
Suppose -146 = 466*x - 612*x. Which is bigger: x or 5/1594?
x
Let y(u) = -3*u + 47. Let m be y(13). Suppose 0 = -4*x - 4*c + m, -8*x = -7*x - 2*c - 8. Which is smaller: 6 or x?
x
Let k(l) = l**3 + 6*l**2 + 5*l - 1. Let b = 31 + -27. Let g be b*4/12*-3. Let o be k(g). Is 11 bigger than o?
False
Suppose -8 = -5*q - 3*g + 2*g, 5*q + 3*g - 4 = 0. Let z(y) = -4*y + 1. Let r be z(q). Let v(l) = -339*l - 1016. Let s be v(-3). Is s < r?
False
Let z(w) = 1. Let v(t) = 8*t - 38. Let d(h) = -2*v(h) + 2*z(h). Let q be d(5). Which is bigger: q or -16?
q
Let h = -1048 - 169. Is h > -1217?
False
Let s be 732/(-610) + (-2006)/20. Which is smaller: -101 or s?
s
Suppose -48 = -3*j - j. Suppose 93 = 21*f - j. Suppose -32 = -s - s - 5*p, -f*p - 34 = -4*s. Which is smaller: s or 12?
s
Let n be ((-70985)/2955)/(39/9). Let i = n + 72/13. Suppose -11*m - 19*m = 2*m - 32. Is m less than i?
False
Let g = 2 - -16. Let x be (-27)/g*(-1 + -5). Suppose 0 = -x*a + 4*a + 25. Do a and 3 have the same value?
False
Suppose -16*g - 13604 = -54*g. Let m = g + -231. Which is smaller: m or 126?
126
Let y = 273 + -255. Let a = -5 + y. Let v = 0.3 + -0.5. Is a equal to v?
False
Let b be 5/(6*2/3) - (-1317344)/(-896). Is -2/9 at most b?
False
Suppose 458 - 88 = 5*n. Let b be (-3010)/130 - (n/26 + -3). Does -23 = b?
True
Let x = 1287418592/9791 - 131490. Which is smaller: 1 or x?
x
Let i be 138/4*(-135
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 2*b + 1
Expand (78 + 44 - 11)*(4*j**2 - 4*j**2 + 2*j**3).
222*j**3
Expand 3*g + 0*g - 2*g + (g + 1 - 1)*(-2 + 6 - 2)*(25 - 8 + 26 + 0 + 0 + 1 + (2 - 4 + 4)*(0 - 1 + 3) + 1 + 3 - 2).
101*g
Expand (-2*s + 0 + 0)*(s + 0*s - 5*s)*(-2 - 2 + 2).
-16*s**2
Expand (4*s + 2*s - 4*s)*(-s + 1 - 1 + (0 - 4 + 2)*(3*s - 3*s + s) - 31*s - 24*s + 18*s).
-80*s**2
Expand (4 - 1 - 4)*((-3*y - 2*y + 6*y)*(2 + 0 - 3) + 2*y + 1 - 1 + 16*y + 14*y - 2 + 6*y + (-3 + 2 + 2)*(2*y + y - y)).
-39*y + 2
Expand 3*f - 2*f**2 - 3*f + 3*f**2 - 1 + 1 + (2 - 3 + 5)*(2*f**2 - 2 + 2) + f**2 - f**2 + 4*f**2.
13*f**2
Expand (4*z - 7 + 7)*(24 - 74 - 90).
-560*z
Expand (-2*x + 1 + 0*x + 3*x)*(1 - 1 - 4*x**2) + 2*x**3 - x**3 - 3*x**3 + (x**2 + 1 - 1)*(0*x - 2*x + 0*x) + 27*x**3 - 3*x**3 - 5*x**3.
11*x**3 - 4*x**2
Expand (-1 + 2*l + 1)*(0*l + 0*l - l) - 11 - 34632*l**2 + 69266*l**2 - 34636*l**2 + 175*l.
-4*l**2 + 175*l - 11
Expand (5*m**4 + 35*m**2 + 0*m**4 - 38*m**2 - 2*m**3)*(-3 - m + 3).
-5*m**5 + 2*m**4 + 3*m**3
Expand (0 - 1 - 1)*(-m**5 + 0*m**5 + 2*m**5 + (-74*m + 18*m**2 + 74*m)*(3*m + 3*m**3 - 3*m) + m - 2*m**5 - m).
-106*m**5
Expand (2*s - 1 - 2 + 6)*(-42*s**2 - 43*s**2 + 167*s**2).
164*s**3 + 246*s**2
Expand -2*i**4 + i - i + (-2 + 2 - 2)*(20 + 2 + 5)*(-2*i**2 + 5*i**2 + 3*i**2)*(3*i**2 + i**2 - 3*i**2).
-326*i**4
Expand (-d + 3*d + 4*d)*(-154*d**4 - 7*d + 80*d**4 + 80*d**4).
36*d**5 - 42*d**2
Expand (-33 + 78*x - 80*x + 8)*(-x - x + x).
2*x**2 + 25*x
Expand 1 - f**4 - 1 + 9*f**3 - 9*f**3 - 4*f**4 + (-2*f - 1 + 1)*(4*f**3 + 3*f**3 - 5*f**3) + 9*f**4 - 35*f**4 + 16*f**4.
-19*f**4
Expand (2*x - 4*x**2 + 11*x**2 + 0*x**2)*(-26*x - 209 + 209).
-182*x**3 - 52*x**2
Expand 30 + t + 19 - 1 + 2*t - t - 3*t + t - 2*t + 3*t + 2*t + 2 - 2 - 3*t + 4*t + 0*t + (3*t + 5*t - 6*t)*(2 - 1 + 1) + 4*t + t - 6*t - 3*t + 3*t + 2*t.
9*t + 48
Expand (-3*t**2 + t**2 + 3*t**2)*(21*t**2 + 568 - 568) + (2*t + 5 - 4 - 3*t)*(t - t + 2*t**3) - 3*t**2 + 3*t**2 + t**4.
20*t**4 + 2*t**3
Expand (u - 4*u**2 + 3*u**2 + 3*u)*(0 - 24 - 2).
26*u**2 - 104*u
Expand ((-109*d + 109*d - 32*d**2)*(4*d + d + 0*d) + 0*d**3 + 4*d**3 - 2*d**3)*(d**2 - 1 + 1).
-158*d**5
Expand (-4*d**4 + 5*d**4 + 0*d**4)*(-d - 2 + 2) + 885*d**4 - 13*d**5 - 11*d**3 - 885*d**4 + 0*d + 0*d + 2*d**5.
-12*d**5 - 11*d**3
Expand (2 + 1 - 2)*(2*r + 17*r - 24*r)*(-3*r**2 + 6*r**2 - 2*r**2).
-5*r**3
Expand (-2 + 0 + 1)*(-1 - j + 1) + (-58 - j + 58)*(3 - 3 - 1) + 2*j + 3 - 3 + (-3*j + 2*j - j)*(-2 - 3 + 3) - j - 2*j + 0*j.
5*j
Expand (6*m - m + 0*m + (0 + 1 - 3)*(-2*m - 4*m + 4*m))*(-25*m + 9*m**2 + 25*m) + (-3 + 0 + 5)*(-5*m**3 + 2*m**3 + 4*m**3).
83*m**3
Expand (-8 + 1 - 4*k + 8)*(-36 + 8 - 17).
180*k - 45
Expand (-3 + 3 + m**2)*(42 - 3*m + 5*m - 88).
2*m**3 - 46*m**2
Expand (3 - 16*m - 3)*(-2 - 1 - 3)*(6 + 0 + 3*m - 4*m).
-96*m**2 + 576*m
Expand (3 + 5 - 6)*(-4 + 3 + 0)*(-166*u**2 + 245*u**2 + 135*u**2).
-428*u**2
Expand -3*l**5 - 3*l**5 + 5*l**5 + (-6*l**3 - 2*l**3 + l**3)*(3*l**2 + 5*l**2 - 3*l**2) + 4*l**5 + 0*l**5 - 2*l**5.
-34*l**5
Expand (1 + 15*n - 1)*(-62*n - 24*n + 17*n).
-1035*n**2
Expand (-60*p - 26*p**2 + 0*p**2 + 58*p)*(-p**2 + 0*p**2 + 0*p**2).
26*p**4 + 2*p**3
Expand (2*b**3 - 5*b**3 + 2*b**3)*(-55 + 11*b**2 + 55) + (6*b + 5*b**4 - 6*b)*(2*b - 1 + 1) + (2 + 0 + 0)*(-2*b**5 + 4*b**5 + 0*b**5).
3*b**5
Expand 21*d - 12*d + 69*d + (-1 + 1 - 2)*(7*d + 3 - 3).
64*d
Expand (1 + 4*s**3 - 1 + (2*s - 2 + 2)*(0*s**2 - 3*s**2 + 2*s**2))*(-17*s + 36*s + 36*s).
110*s**4
Expand (-2*o + 2 - 2)*(-o**2 - o**2 + o**2) + o**3 - o + o + o**3 - 3*o**3 + 3*o**3 + 29*o**3
|
{
"pile_set_name": "DM Mathematics"
}
|
m l + w*q**2 + h*q**3 + k*q and give h.
-1
Rearrange -3*o + 13 - 4630*o**3 + 2318*o**3 + 17 + 7 + 2320*o**3 to j*o + b*o**2 + n*o**3 + t and give t.
37
Express -18 - 10 - 3*y**2 + 4*y**4 - 2*y**3 - 3*y + 37 - 11 as z*y**4 + s*y**2 + w + c*y**3 + d*y and give c.
-2
Rearrange 927*h**2 + 1392*h**2 + 956*h**2 - 239*h**2 to the form p + k*h**2 + c*h and give k.
3036
Express 14*t**2 - 18 + 28*t**2 + 803*t - 40*t**2 + 17 as m*t**2 + h*t + v and give v.
-1
Rearrange 4*w + 8*w**2 + 8 - 2*w + 4*w - 4*w**3 + 2*w**2 - 8*w to the form d*w**2 + b*w + t*w**3 + l and give l.
8
Express (95*n - 246*n - 229*n)*(1 - 2 + 3)*(-23 - 61 - 22) as o*n + x and give o.
80560
Express 5 + 37*p - 425*p + 304*p in the form u*p + o and give o.
5
Rearrange 189*u**3 - 426*u - 4 - 436*u + 6*u**2 + 861*u - 4*u**2 to the form f*u + k + y*u**2 + n*u**3 and give k.
-4
Express (-1 + 1 - 2*v)*(8446 - 13765 + 7515) - 1 + v + 1 as w*v + o and give w.
-4391
Express (-4*b - b + 3*b)*(-369 + 367 - 35*b + 119*b) - 12*b**2 - 21 + 21 as s + l*b**2 + n*b and give n.
4
Express 830*u**2 - 17*u + 4 - 1647*u**2 + 828*u**2 + (-u - 2*u + 2*u)*(0*u + 4*u + u) as t*u**2 + y*u + x and give y.
-17
Express 3*k**4 + 66301*k**3 - 7*k**2 - k + k**4 - 66321*k**3 as n*k**3 + f*k**4 + p*k**2 + o*k + u and give f.
4
Express -4*n + 4*n + 123*n**3 - 425*n**2 + 214*n**2 + 221*n**2 in the form f*n + p*n**2 + b + j*n**3 and give p.
10
Rearrange (10*j - 10*j + 15*j**2)*(343*j + 112*j + 80*j) to the form v*j + q*j**2 + u + b*j**3 and give b.
8025
Rearrange 0*o**2 + o**3 + 4*o**2 - 29 - 8*o**2 + 118*o + 28 to z + i*o**3 + j*o + u*o**2 and give j.
118
Express 87 + 13109*j - 21 - 20 - 46 as d + y*j and give y.
13109
Express (2*y - y - 2*y)*(y - 3*y + 3*y) + (-198491*y + 3 - 92 + 198483*y)*(9 + 5*y - 28 - 6*y) as p*y**2 + l*y + k and give p.
7
Rearrange (-55 + 17*n + 55)*((1 + 0 + 0)*(-3 + 1 + 3) - 2 - 3 + 3 - 10 - 15 + 11) to the form r*n + x and give x.
0
Rearrange h**3 + 3851789*h**4 - 3851786*h**4 - 3*h - 6*h**2 + 2*h to i*h**3 + d*h**4 + m*h + f + n*h**2 and give m.
-1
Express 691 - 3*b**3 + 63*b**2 - 51*b**2 - 10*b**2 as u*b**2 + c + j*b**3 + t*b and give u.
2
Rearrange 2 - 1395*h**3 + 47 - 1565*h**3 - 93 + 41 to the form n*h**2 + y*h**3 + t*h + b and give b.
-3
Express 608 - 312 + q + 263*q**2 - 294 as v + f*q**2 + a*q and give f.
263
Express -1 + 9314*a - 1828*a + 2503*a - 1 + 2332*a as y + v*a and give y.
-2
Rearrange 5666*o + 2831*o - 5358*o + 8371*o to the form j*o + c and give j.
11510
Rearrange (x - x - x**2)*(-11950*x - 17827*x + 21760*x - 27444*x - 26404*x - 9658*x) to the form o*x**3 + h*x**2 + y + m*x and give o.
71523
Express -6*r**2 + 6*r - 4*r - 23*r**2 + 31*r**2 - r**3 + 63 - r**4 as m*r**3 + z*r**4 + p*r**2 + k*r + b and give m.
-1
Rearrange 1 - 1 + 1537*j - 1537*j + 624*j**2 to the form i*j**2 + d*j + r and give i.
624
Rearrange (12*o**2 + 27*o**2 + 8*o**2)*(-3 + o**2 + 3) + 17*o**4 + 3*o**4 + 6*o**4 to the form f*o**4 + j*o**3 + c*o**2 + s + v*o and give f.
73
Express 1976*m + 88*m + 1149*m + 1103*m in the form x*m + i and give x.
4316
Rearrange -343*y + 1487 + 3365*y - 1485 to v + d*y and give d.
3022
Rearrange q - 5*q - 233*q**3 + 232*q**3 + 2*q**4 + 32*q**2 + 2*q + 7*q to v + t*q**3 + z*q + u*q**2 + i*q**4 and give u.
32
Express 356 + 5*s**2 + 9*s**2 - s + 14*s**2 - 226*s**2 + 199*s**2 in the form c*s**2 + u*s + n and give n.
356
Express (-4*b + 4*b + 2*b)*(-7 - 5 + 4)*((1 - 4 + 1)*(-4 + 2 + 8) + 1 + 2 - 2)*(3 - 4 + 0) in the form c + u*b and give u.
-176
Rearrange -124*z**3 + 258*z + 256*z**3 + 693*z - 130*z**3 to the form v*z**3 + g*z + a*z**2 + p and give g.
951
Rearrange -2192*k + 316 - 687*k - 316 to c*k + q and give c.
-2879
Express -70 - 14*b**2 - 9 - b**3 - 4*b - 14 + 97 in the form c*b + s*b**3 + t*b**2 + q and give q.
4
Express -3*f**2 + 109349765 - 109349766 - 99*f - 14*f + 12*f**2 as u*f**2 + v*f + i and give v.
-113
Rearrange -44*f + 1 + 10*f + 34*f - 447*f**2 to the form k + r*f**2 + i*f and give k.
1
Rearrange (99 + 94 - 32)*(5 + 4*w - 5*w - w)*(-2 + 4 + 0) - 3*w + 2*w - w to t + g*w and give t.
1610
Express (-15*w - 19*
|
{
"pile_set_name": "DM Mathematics"
}
|
closest to d in a, -4, -5?
-4
Let l = 10564/52545 - 11/10509. Let u be 8/(-5) + (-4)/10. Let o be 1/(u - 10/(-6)). Which is the closest to o? (a) l (b) -4/9 (c) 0
b
Let y be (-57)/(-45) - (-81)/(-135). Which is the closest to 1/52? (a) y (b) 2/9 (c) -1/2
b
Let p = -0.3 + 0.8. Let m = -133.677 + 129.677. Which is the closest to -2? (a) p (b) -2/9 (c) m
b
Let y = 1 - -1. Suppose -3*p - 5*g + 0*g + 781 = 0, -4*p = -g - 1003. Let a be 18/(-63) - 9/(p/(-16)). What is the closest to -0.05 in a, 0, y?
0
Let w = 4435 + -13307/3. Which is the closest to w? (a) -0.09 (b) -10 (c) 0.1
a
Let h = 2.5 - 1.85. Let f = h - -3.35. Which is the nearest to 26? (a) -1/2 (b) -3 (c) f
c
Let o = 1.1 + -5.1. Let b = 0.148 + -0.288. Let x = b - 0.36. What is the closest to 0 in o, 5, x?
x
Let q = 18616 - 18611. What is the closest to 0 in q, -17.59, 0?
0
Let m(z) = z**3 + 12*z**2 + 13*z + 26. Let h(c) = 4*c**2 + 3*c + 3. Let g be h(-4). Let t = -66 + g. Let o be m(t). What is the closest to -2 in 11, 0.1, o?
0.1
Let g = 15.908 + -15.808. Which is the nearest to 0.1? (a) -37 (b) 1/3 (c) g
c
Let s = 97.6 - 98.1. What is the nearest to 2 in -5, -9/2, -4, s?
s
Let z be (3 + 3)/(-3) - (-6 - (-1)/(-1)). What is the nearest to 4 in -1/6, z, -0.3?
z
Let b be (1 + 2 - 0)*(-120)/90. What is the nearest to 0.7 in 1/16, b, -0.2?
1/16
Let j = 71.5 - 71.1. Let r = 3 + -4. Let b be r - (2 - 4)*-1. What is the nearest to 0.1 in 6/7, j, b?
j
Let g = -330.2 + -22.8. Let x = g - -352. Which is the nearest to x? (a) 0.4 (b) -1/15 (c) 1/8
b
Let o be 4 - 1 - (-34)/(-10). Let u = -4886.5 - -4887.5. What is the nearest to o in u, -2/9, -5, -4?
-2/9
Let o = 8252 - 8251. Which is the closest to -1/3? (a) 3/2 (b) o (c) -18
b
Let k = -272/417 - 2/139. Let u = 934.27 - 936. Let c = 8.27 - u. What is the closest to -2 in k, c, -0.1?
k
Let p = -188/87 - -24/29. Let g(w) = w**2 + 2*w + 3. Let j be g(-2). Let o be (-1*(-3 + j))/2. Which is the nearest to o? (a) -2/7 (b) -9 (c) p
a
Suppose 3*g - 11 - 14 = 4*s, 4*g = 12. What is the closest to 88 in -1, s, -2?
-1
Let w = 0.07 + 4.93. Let f = -0.06 + -0.04. Let i = -28670 + 28668. Which is the closest to -2/5? (a) f (b) w (c) i
a
Let b = 2295.87 + -2248. Let p = 0.13 + b. Let y = p + -48.07. What is the nearest to y in 0.5, 1, -0.1?
-0.1
Let c(y) = 2*y**2 - 3*y - 4. Let k be c(-4). Let f be 0 + 4 + 0 + k. Let v be 140/f*1 + -3. What is the closest to v in 2/17, 5, 0.5?
2/17
Suppose 6*q - 15 = q. Let y(g) = 30*g**2 - 390*g - 2. Let l be y(13). Let m be (-2)/q + (l - (-10)/6). Which is the nearest to -0.5? (a) m (b) 1 (c) -3
a
Let z be ((-1)/(-9))/(804/(-54) + 15). What is the closest to -0.3 in 0.1, 0, z, 5?
0
Let u = -3 - -3.5. Let w = -2 - 1. Let n be (1/5)/(54/90). Which is the closest to n? (a) -1/4 (b) w (c) u
c
Let m = -7415 - -7416. Which is the nearest to -0.1? (a) 1/13 (b) 5 (c) m (d) -12.8
a
Let t(b) = -b**2 - 6*b + 12. Let k be t(-7). Suppose -k*o = -13 + 43. Let z be (4/o)/((-2 - -3)*3). What is the closest to -2 in 3/4, z, -5?
z
Let o(b) = b**3 + 3*b**2 - b. Let x be o(-2). Suppose -3*j + x*a + 12 = 3*a, -j + 4 = 2*a. What is the closest to -0.1 in 0, j, -0.9?
0
Let m = -65 - -64.008. Let n = -0.008 + m. Suppose 0*s = -3*s + 6. What is the closest to n in -2, -6/5, s?
-6/5
Let l = -5045.4 - -5045. What is the nearest to -2/5 in -2, 13, l, -5?
l
Let g = 567 - 547.5. Let o = -24.5 + g. What is the closest to o in -4, -0.5, -5, 1/2?
-5
Let f = -77.764 + 1.764. Which is the closest to -0.1? (a) -2 (b) -1 (c) f (d) 4/7
d
Let n = 0.3 + -0.2. Let p be (-2)/9 + 5/36. Suppose 3*m + 12 = -2*k, 4*m + 367 = 5*k + 351. Which is the closest to n? (a) p (b) -1 (c) k
c
Let i = -269 - -255. Let w be (4/i)/(408/119). What is the nearest to -2/5 in 0.4, w, 25?
w
Suppose -493 - 327 = 5*p. Let y = -2786/17 - p. Which is the closest to -5? (a) 0.2 (b) y (c) -3
c
Let r be (14/(-28))/(1/(-40)). Let o = -22 + r. Let s be 3/o*24/9. What is the nearest to 3 in -2, s, -0.4?
-0.4
Let u = -2901 + 2901. Which is the nearest to -4? (a) u (b) 2/5 (c) -1/5
c
Let x = -0.3 - 0.1. Let o = -167.93 +
|
{
"pile_set_name": "DM Mathematics"
}
|
0 + 2.
-4
What is (-2 - (8 - 19)) + -4?
5
Evaluate -10 - (3 - (-7 - -16)).
-4
Evaluate -7 + (2 - (-5 + 4)) - -7.
3
What is -5 - (-13 + 5) - 0?
3
-5 + 10 - (5 + -1)
1
Evaluate 0 - 0 - (1 + 0).
-1
What is the value of 25 + -16 + 1 + -8?
2
What is (3 - (0 - -6)) + 3?
0
Evaluate (3 - -5) + (-10 + 10 - 3).
5
Evaluate 2 + (4 - 6) + 1 + -2.
-1
What is the value of (1 - (1 + 3)) + -1 - -4?
0
0 - (-3 + 0 + -4 + 3)
4
What is 3 + (1 + -1 + 1 - 4)?
0
-1 + 1 + -1 - -5
4
(-2 - 4) + (6 - -2)
2
Evaluate -5 + -1 + 2 - (-13 + 10).
-1
What is the value of -5 + 6 + -6 + 4?
-1
What is the value of -8 + -2 - (-4 - 1)?
-5
Calculate -8 - (-8 - -2) - -5.
3
5 - (0 + 0) - 3
2
Evaluate -2 + 0 + 3 - (-25 - -29).
-3
Calculate -2 - (-4 - 3 - 1).
6
Calculate -4 - -4 - (6 + -5).
-1
Calculate 3 - 6 - 0 - (5 + -6).
-2
-3 - (-1 - (-1 + 2)) - 4
-5
What is the value of -7 - (-14 + 8) - (1 - 8)?
6
What is the value of -7 - (2 - (-6 + 3 + 8))?
-4
4 - ((68 - 61) + (-10 - -1))
6
What is 0 - (6 + 5 + -1)?
-10
Evaluate -2 + -3 + (2 - (-4 - -6)).
-5
0 - (-1 - (3 + -4))
0
-7 + -1 - (-2 + -6)
0
What is the value of -10 - -6 - (4 - 8)?
0
What is the value of 3 - (-7 + (1 - (7 - 8)))?
8
Evaluate 2 + -2 - (-11 + 9 + -2).
4
Calculate 8 - ((10 - -3) + -4).
-1
2 + (1 + -4 + 2 - 8)
-7
37 + -41 - (-1 - 4)
1
(2 - -10) + -12 + 1 + 5
6
Evaluate 13 - (12 + 11) - -1.
-9
What is the value of (-10 - 5 - -9) + -1?
-7
What is (-17 - -13) + (-2 - -3)?
-3
What is 0 + 4 - (1 + 0)?
3
Calculate 1 - (4 - (2 - 1)).
-2
What is the value of 3 + -1 + 39 + -49?
-8
Calculate 1 + -4 + 2 + 3.
2
Calculate 1 + 2 + (0 - 5 - -6).
4
What is the value of -6 + 3 + 0 + -2?
-5
What is 5 - 1 - (4 + -2)?
2
What is the value of -4 + 5 + 8 + -6?
3
Calculate -1 - 1 - -3 - (-9 + 6).
4
Calculate -119 + 118 + 4 + (2 - 3).
2
Evaluate (4 - -1) + (-11 - -8) - 5.
-3
Calculate (-7 - -5) + (2 - (-2 + 2)).
0
Calculate -6 - (3 + -1 - 6).
-2
Calculate 1 + 2 + (11 - 27) + 14.
1
-7 + (4 - (0 - -2)) - -4
-1
-6 + (12 - 0 - 7)
-1
What is -14 - -7 - (-9 - (8 + -16))?
-6
-2 - (-12 - -11 - (-1 - -4))
2
What is the value of -5 + -9 + (-11 - -19)?
-6
Calculate (-11 + 7 - -3) + -2 + -2.
-5
4 + (-3 - -6) + -7 + 3
3
Calculate (-3 - -2) + 5 + -9 + 0.
-5
What is 1 - (5 - (6 + -4)) - 3?
-5
(4 - 1) + (6 - 11 - -2)
0
-1 - ((6 - 7) + -8)
8
-6 + 3 + 3 + (3 - -1)
4
What is (123 - 114) + (-14 - 1)?
-6
Evaluate 7 + (-8 - 0 - (10 - 13)).
2
Calculate 1 + (-18 - -9) + (4 - 0).
-4
What is the value of (1 - 1) + 2 - (7 + -2)?
-3
What is 22 + -22 + (2 - 4)?
-2
What is the value of -9 - (-8 - (-4 - 0))?
-5
-4 - -8 - 7 - (-2 + 4)
-5
Evaluate 4 + (6 - (8 - -2)) - -5.
5
What is 24 + -24 + (-2 - -1)?
-1
What is 2 + -1 - (-19 + 14)?
6
4 + (2 + -10 - (1 - 4))
-1
Evaluate (0 - -1) + -3 - (-3 - -5).
-4
Calculate -5 + 10 + 0 + -1.
4
0 + (-3 - (2 - 4))
-1
What is the value of 2 - (-3 - -1) - 0?
4
Evaluate 13 + (-3 - (5 + 13)).
-8
What is the value of 16 + (8 - 16) + 0?
8
Evaluate (7 - (4 + -1 - 0)) + -4.
0
-1 + (4 - (-2 + 8))
-3
Evaluate 3 - 12 - -15 - 9.
-3
What is the value of 4 - (6 - (-9 + 5 + 1))?
-5
(-5 - 0) + (63 - 53)
5
Evaluate 4 + 0 - (-1 + 2 + 2).
1
What is the value of (3 - 1 - 1) + (4 - 2)?
3
2 - (-7 - (-10 + 8))
7
-9 - (-6 + (-4 - (-2 + -4)))
-5
Evaluate 0 + (-4 - (-3 + 1)).
-2
What is (-3 - 6 - -3) + 4 + -2?
-4
Calculate (-1 - (2 + -5)) + 0.
2
What is the value of -1 + (21 - 7) + -8 + 2?
7
Calculate (-2 - 0) + -5 + 11.
4
What is the value of -16 - (-20 + 3 + 7)?
-6
What is (10 - 0) + 21 + -24?
7
Evaluate 3 + -2 + 5 + -7 + 6.
5
Calculate 1 + (-3 - -14) + -23.
-11
3 + -6 - (-1 - 4)
2
What is 6 - ((11 - 4) + 0)?
-1
Calculate -4 + (18 - 9) - 2.
3
What is 79 + -91 - (-12 - 0)?
0
-17 + (3 - -2) + 9
-3
Evaluate (6 - 5 - 1) + 4 - 8.
-4
Calculate 5 + -5 - 0 - 3.
-3
What is 10 + (-4 - 5 - -5) + -4?
2
What is the value of 4 + 5 + -6 + (0 - 1)?
2
-4 - -14 - (10 + -8)
8
What is 0 - (-9 - (6 + -14))?
1
What is -4 + -4 + 11 + -4 + 3?
2
Calculate 4 - (2 + 6) - 2.
-6
(21 - 21) + 2 + -5
-3
Calculate (3 + -8 - -3) + 5.
3
Evaluate 1 - 4 - -6 - (-6 - -11).
-2
6 - (-1 + 1) -
|
{
"pile_set_name": "DM Mathematics"
}
|
t l.
-20*l**3
Let x = 2 - -1. Find the first derivative of 5*m**3 + 3*m**4 - 2*m**3 - x*m**3 + 2 wrt m.
12*m**3
Let r(k) = 5*k**2 + 4*k. Let j(c) = 16*c**2 + 13*c. Let i = -11 + 13. Let d(p) = i*j(p) - 7*r(p). What is the second derivative of d(g) wrt g?
-6
Suppose -w = -5*n + w + 10, n = 2*w + 2. Find the third derivative of 5*u**6 + u**n + 4*u**2 + u**2 wrt u.
600*u**3
Let r(u) = -16*u**3 + 5*u**2 - 5*u + 19. Let a(o) = 8*o**3 - 2*o**2 + 2*o - 9. Let b(q) = 5*a(q) + 2*r(q). Find the first derivative of b(d) wrt d.
24*d**2
Let t(p) = -p - 1. Let k(j) = 7*j + 4. Let i(x) = k(x) + 6*t(x). Let l be i(5). What is the derivative of l*w + w - 3*w - 2 wrt w?
1
What is the third derivative of -25*s**4 + 10*s**4 + 2*s**2 - 10*s**2 wrt s?
-360*s
Let b(h) = h**3 - 8*h**2 - 8*h - 7. Let d be b(9). What is the third derivative of 5*f**5 + 11*f**2 - 8*f**2 + 3*f**d wrt f?
300*f**2
Let f be (-1)/(-1)*(-8)/(-2). What is the derivative of 4*p**4 - p**4 + 0*p**f + 4 wrt p?
12*p**3
Let z be (-2)/1 - (-12)/5. Let q(m) be the first derivative of 0*m**2 + 0*m**3 + 0*m**4 - m - z*m**5 + 2. Differentiate q(k) wrt k.
-8*k**3
Let t(n) be the second derivative of -7*n**5/20 + 23*n**2/2 - 28*n. Differentiate t(d) wrt d.
-21*d**2
Let x(g) be the first derivative of 24*g**5/5 + 14*g - 11. What is the first derivative of x(y) wrt y?
96*y**3
Let b be -3 + -3 + 7 + -1. Let z(k) be the second derivative of 1/6*k**3 - k + b + 3/2*k**2. Find the first derivative of z(u) wrt u.
1
Find the third derivative of z**5 + 2*z**5 + 4*z**5 - 28*z**2 + 18*z**2 wrt z.
420*z**2
Suppose 3*r - r + 2 = 0. Let j = r + 4. What is the second derivative of -j*x + 3*x**3 + 0*x**2 + 0*x**2 + 0*x**2 wrt x?
18*x
Suppose 0*f + 4*f - 8 = 0. Let g = 2 + f. What is the derivative of t**4 + 2 - g + 1 wrt t?
4*t**3
Let h(p) = p**2 - 5*p - 2. Suppose -2*g + 4*l + 8 = 5*l, -5*l - 20 = 0. Let a be h(g). What is the first derivative of -2*d**2 - 4 + 3 - 1 + a wrt d?
-4*d
Let r = 14 - 8. Find the second derivative of -2 + 2 - r*k + 8*k**4 - 5*k**4 wrt k.
36*k**2
Let i = -4 - -8. Find the third derivative of -4*n**6 - i*n**2 + 7*n**6 + 5*n**2 wrt n.
360*n**3
Let w be 0/1 - (-1 + -2). What is the second derivative of -5*g - g**3 + 9*g + 6*g**w + 2*g wrt g?
30*g
Let b be 2/15*60/48. Let p(x) be the second derivative of 2*x + 1/2*x**2 + b*x**4 + 0*x**3 + 0. What is the derivative of p(i) wrt i?
4*i
Find the second derivative of 3*x + 0*x - x - 4*x**2 + x wrt x.
-8
Let a(z) be the first derivative of -8*z**3/3 - 2*z + 2. What is the derivative of a(s) wrt s?
-16*s
Let q(m) = m**5 - m**2 - 1. Let d(h) = -h**6 + 6*h**5 + 2*h**4 - 23*h**2 + 2*h - 6. Let s(v) = d(v) - 6*q(v). Find the third derivative of s(w) wrt w.
-120*w**3 + 48*w
Let h(y) be the second derivative of -37*y**7/42 - y**4/6 - y**2 + 24*y - 2. What is the third derivative of h(g) wrt g?
-2220*g**2
Let l(v) be the third derivative of v**5/40 - v**4/12 + v**3/2 - 3*v**2. Let c(d) be the first derivative of l(d). What is the derivative of c(q) wrt q?
3
Suppose r = -2*j + 8, 5*r = -2*j - 0*j. Let q(l) = -1 + 6*l + 4 + 0. Let x(z) = 5*z + 2. Let b(f) = j*x(f) - 4*q(f). What is the first derivative of b(s) wrt s?
1
Suppose 5*s - 2*g = 3*s + 12, -5*g = 4*s - 33. Let z be s/(21/18) + -1. What is the third derivative of -3*t**5 - 3*t**2 + 6*t**5 + 0*t**z wrt t?
180*t**2
What is the second derivative of l + 6*l**2 - 40*l**2 + 4*l wrt l?
-68
Let w(d) = 5*d**3 + 12*d**2 + 4*d - 4. Let z(v) = 4*v**3 + 13*v**2 + 5*v - 5. Let j(k) = 5*w(k) - 4*z(k). Find the third derivative of j(m) wrt m.
54
Let v(g) be the third derivative of -5*g**8/336 - g**4/24 - g**2. What is the second derivative of v(o) wrt o?
-100*o**3
Let g(j) = -20*j**4 - 25*j**3 + 25*j + 15. Let m(f) = -5*f**4 - 6*f**3 + 6*f + 4. Let d(z) = -6*g(z) + 25*m(z). Find the first derivative of d(y) wrt y.
-20*y**3
Differentiate -12 - 19 + 12 + k**2 + k**2 - k**4 with respect to k.
-4*k**3 + 4*k
Suppose -22 = -5*y - 2. Let b(x) be the first derivative of 0*x**2 + 2/3*x**3 + y*x - 1. Find the first derivative of b(o) wrt o.
4*o
Suppose -3*x + 3*i = -x - 16, -5*i - 40 = -5*x. Let b(o) = o**2 - 4. Let w(l) = -3*l**2 + 11. Let v(a) = x*b(a) + 3*w(a). Differentiate v(p) with respect to p.
-2*p
Let n = 12 - 19. Let s = -3 - n. Differentiate 1 + 3*l**s
|
{
"pile_set_name": "DM Mathematics"
}
|
in the form m + l*n**2 + i*n and give l.
-110
Rearrange 472*v + 10288 + 10287 - 20577 to n*v + m and give m.
-2
Rearrange 7 - 3 + 236*d**2 - 6 - 1499*d - 235*d**2 to the form o*d + u + y*d**2 and give u.
-2
Rearrange -2 + 8*f**3 + 236776*f**2 - 6*f**3 + 39*f - 236773*f**2 to the form v + s*f + l*f**3 + n*f**2 and give l.
2
Rearrange (-99438 + 10260*k**2 + 99438)*(3*k + 0*k + 0*k) to b*k**2 + j + m*k**3 + v*k and give m.
30780
Rearrange -31 - 116737892*q + 116737892*q + 50*q**2 to z*q + i*q**2 + b and give i.
50
Express 11*s + 537*s**2 - 536*s**2 + s**4 + 2 - 1 - 4*s**3 + 9*s**4 + 3*s**3 as l*s**2 + y*s**4 + g*s + f + n*s**3 and give l.
1
Express (0*m + m + 0*m)*(-2*m**2 + 5*m**2 - 2*m**2) + (12*m - 29*m + 262*m)*(-4*m**2 + 5*m - 5*m) as j*m**2 + d*m**3 + w*m + y and give d.
-979
Rearrange 2*i**3 - 486*i + 141*i**2 + 632*i - 127*i**2 to c*i**3 + k*i**2 + v*i + s and give c.
2
Express -709*k**3 + 348*k**3 + 42 + 350*k**3 + k in the form d + o*k + u*k**3 + f*k**2 and give d.
42
Express -1 + 2*j**4 - 277*j**3 - j + 201*j**2 - j - 272*j**3 + 546*j**3 in the form c + d*j**3 + f*j + t*j**2 + a*j**4 and give d.
-3
Express (-3*n - n + 2*n)*(-1 + 8*n + 3 + 0)*((-4 + 5 + 0)*(-2 - 2 + 2) - 359 + 1550 + 508)*(-2 + 2 + n) in the form x*n**2 + r + p*n + a*n**3 and give p.
0
Express 4*n + 2*n - 99041*n**4 - 3*n - 2 - 3*n**3 + 99039*n**4 + 5*n**2 as o*n**4 + d*n**2 + g*n**3 + y*n + b and give g.
-3
Express (5*j - 5*j + 2*j**3)*(-j - 1 + 1) - 4*j**4 + j**4 + 2*j**4 - 740*j**4 - 2990*j**4 + 1095*j**4 as s*j**2 + t + i*j + d*j**4 + y*j**3 and give d.
-2638
Rearrange (-20*s**2 + 9 - 9)*(45 - 139 + 44 - 849*s + 48) to q*s**3 + b*s + w + o*s**2 and give o.
40
Express 1214*z - 1 - 2*z**2 + 1 + 252*z + 32*z as x + c*z**2 + n*z and give n.
1498
Express 135*c**2 + 14*c + 1 - 156*c**2 + 22*c**2 + 13*c**4 in the form y*c**2 + k + d*c**4 + j*c + i*c**3 and give i.
0
Express (-72*l - 46*l + 14*l)*(149 + 17*l - 149)*(0 - 2 + 1) as h + g*l**2 + r*l and give g.
1768
Rearrange 4*l - 2 - 843855*l**2 + 5*l + 843977*l**2 to the form m + r*l + n*l**2 and give m.
-2
Rearrange h + 248*h**2 - 5*h**4 + 5 - 449*h**2 + 212*h**2 to the form n*h**2 + j*h**4 + x + g*h**3 + l*h and give l.
1
Express 26*a**3 - 4*a**4 - 64*a**3 + 3*a**4 + 12*a**3 + 28*a**3 + 138*a**2 as p*a + y + x*a**4 + u*a**2 + f*a**3 and give f.
2
Rearrange 79 + 9*g - 28 - 42*g + 10*g + 15*g to the form m*g + p and give p.
51
Express -87*o**3 - 82*o**3 - 95 - o - 109 + 171*o**3 + 2*o**2 as l*o**2 + w*o**3 + c*o + u and give l.
2
Express 4 - 142*d**4 - 2*d**3 + 49*d**4 + 7*d**3 + 46*d**4 + 46*d**4 in the form n*d**2 + k*d**3 + x*d + m*d**4 + h and give k.
5
Rearrange 230533*h + 22 - 58 + 96 - 60 + (2 + 4 - 5)*(-4*h + 5*h + 0*h) to s*h + v and give s.
230534
Express (-12 - 11 + 5)*(-35 + 95 + 77)*(-16*o + 5*o**3 + 16*o) as f + j*o + q*o**2 + k*o**3 and give f.
0
Express -5*k**3 + k**3 + 31 - 1076*k**2 + 1075*k**2 in the form b*k**2 + o + w*k + h*k**3 and give b.
-1
Express (1725 - 1725 + 817*x)*(5*x - 5*x - 3*x) in the form y*x + v + k*x**2 and give k.
-2451
Express (0 + 0 + 3)*(6 - 4 - g**4 + 3*g**4) + (-76*g**4 + 14*g**4 - 39*g**4)*(1 - 3 + 1) in the form h*g**2 + y*g**4 + q*g**3 + d + p*g and give d.
6
Express 8*h**2 + 1529*h + 1560*h + 1535*h - 4680*h in the form a*h + t + q*h**2 and give q.
8
Rearrange (2 - 1 + 1)*(0*y - 2*y + 0*y)*(-8258 - 1087 - 9946) to the form p + w*y and give w.
77164
Express -490780 + 490780 - 12*c**2 + 3*c**4 + 6*c**3 as f*c**2 + z*c**3 + y*c + o + s*c**4 and give f.
-12
Rearrange 51*d**3 + 136*d - 136*d + (-7*d**3 + 0*d**3 + 2*d**3)*(-1 - 6 + 3) to u*d**3 + n*d + t*d**2 + p and give u.
71
Express (290*b + 13768 - 13768)*(-2*b - 1 + 1) - 4*b**2 - 2*b**2 + 17*b**2 as p*b + q*b**2 + d and give q.
-569
Rearrange (48 - 48 + 6*c)*(-1 + 5 + 6)*(-43*c + 84*c - 70*c) to the form f*c**2 + g + u*c and give f.
-1740
Express -9 + 1 - m**3 + 197*m**2 - 19*m**2 - 6 + 966*m**2 as t + i*m + s*m**3 + k*m**2 and give s.
-1
Rearrange -f**3 + 9*f**3 - f
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 47*v**3 - 268453*v.
47*v**3
Collect the terms in 285*n + 323*n + 318*n + 327*n + 328*n - 1914*n + 335*n.
2*n
Collect the terms in -132*v - 6210 - 1386 + 841.
-132*v - 6755
Collect the terms in -4581*g + 2 + 2292*g + 2291*g - 2 - 1020*g**2.
-1020*g**2 + 2*g
Collect the terms in 29195*v + 5639*v - 8621*v.
26213*v
Collect the terms in 7*w + 5103 - 14333 + 4139 + 5091.
7*w
Collect the terms in -8173*t + 10255*t + 10003*t.
12085*t
Collect the terms in -699*j + j**2 + 202*j + 202*j + 196*j + 95*j.
j**2 - 4*j
Collect the terms in -14519*x + 29007*x - 14487*x - 17 + 17.
x
Collect the terms in u**2 + 194 - 173 - 4*u + 7*u + 15*u - 2*u.
u**2 + 16*u + 21
Collect the terms in 4068 - 4068 - 2414996*h.
-2414996*h
Collect the terms in -219*d**2 + 117*d**2 + 74 - 127 + 71.
-102*d**2 + 18
Collect the terms in a**2 - 7*a**2 - 9569458*a + 7*a**2.
a**2 - 9569458*a
Collect the terms in -1902*u**3 - 12 - 4 + 2275*u**3 + 16.
373*u**3
Collect the terms in 234617 + 2*n**2 + n - 234655 - n**2.
n**2 + n - 38
Collect the terms in -4003256 + 4003256 + 531*f.
531*f
Collect the terms in 182*x - 1366159*x**2 - 182*x.
-1366159*x**2
Collect the terms in 13*l**3 - 13*l**3 - 20*l**3 - 15*l**3 + 13*l**3 + 13*l**3.
-9*l**3
Collect the terms in -764*c - 20 + 201*c + 29 - 1175*c.
-1738*c + 9
Collect the terms in 284073*r - 142424*r - 141650*r.
-r
Collect the terms in -1928*b - 1882*b + 3810*b + b**3 - 11*b**3.
-10*b**3
Collect the terms in -129 + 26 - 9*d + 18 + 26 + 24 + 25 + 9.
-9*d - 1
Collect the terms in -30*d**2 - 234*d**2 + 342*d**2 + 44*d**3 - 23*d**2 - 27*d**2 - 32*d**2.
44*d**3 - 4*d**2
Collect the terms in 46*b**2 + 2*b**3 + 10*b**2 - b**3 - 72*b**2 - 8*b**2 - 7*b**2.
b**3 - 31*b**2
Collect the terms in 227*g**3 + 944*g**3 + 61*g**3 - 52*g**3 + 300.
1180*g**3 + 300
Collect the terms in -22970*h**2 + 22970*h**2 + 34*h - 34*h + 9*h**3 + 0*h.
9*h**3
Collect the terms in -11*v - 12*v - 4*v + 88*v - 17*v - 22*v - 13*v.
9*v
Collect the terms in 2972370*w + 44 - 2972353*w + 3.
17*w + 47
Collect the terms in 5684*o**2 - 78 + 4292*o**2 + 78.
9976*o**2
Collect the terms in -127*a**2 + 206*a**2 - 383*a - 105*a**2 + 382*a + 3*a**3.
3*a**3 - 26*a**2 - a
Collect the terms in 0*f - 75880*f**2 + 75880*f**2 - 127*f**3 + 0*f - 21*f**3.
-148*f**3
Collect the terms in -2*d + 62 - 126 + 87*d**2 + 64 - 2*d - 106*d**2.
-19*d**2 - 4*d
Collect the terms in -1880*q + 34 + 12*q**2 + 921*q + 18*q**2 + 959*q.
30*q**2 + 34
Collect the terms in 1346 - 10*j**2 - 887 - 459.
-10*j**2
Collect the terms in 354*l + 361*l + 343*l - 1395*l + 363*l.
26*l
Collect the terms in 870740 - 4*i**3 - 29*i**3 - 870973 - 2*i.
-33*i**3 - 2*i - 233
Collect the terms in 32 + 739*m - 38 + 3597*m + 2*m**3.
2*m**3 + 4336*m - 6
Collect the terms in -38508*z**3 + z + 38788*z**3 - z.
280*z**3
Collect the terms in 185 + 1899*u - 985*u - 185 + 1801*u.
2715*u
Collect the terms in -13*k - 15*k - 1038 + 1021 + 26*k.
-2*k - 17
Collect the terms in 528*x + 4 - 20*x**2 - 533*x + 5*x + 8.
-20*x**2 + 12
Collect the terms in 8814 + 4*v**3 + 8815 - 17630 - 2*v**3 + 374*v.
2*v**3 + 374*v - 1
Collect the terms in 1797 - 1740 - 467*r + 246*r.
-221*r + 57
Collect the terms in 31925*s**3 - 15809*s**3 - 15733*s**3.
383*s**3
Collect the terms in 3*r**3 + 5*r**3 + 529*r**2 - 2*r + r - 35*r**3 - 2.
-27*r**3 + 529*r**2 - r - 2
Collect the terms in 294 + 273 - 861 + 235*p + 294.
235*p
Collect the terms in 2241 + 2201 - 44*h**2 + 50*h**2 - 4442.
6*h**2
Collect the terms in 5 - 1691*c**2 - 1686*c**2 - 1696*c**2 - 5 - 1692*c**2 + 6766*c**2.
c**2
Collect the terms in -51 + 30*v**2 - 34*v + 427 - 376.
30*v**2 - 34*v
Collect the terms in -4*o**2 + 213*o**3 + 685*o**3 + 4*o**2 - 379*o**3 + 206*o**3.
725*o**3
Collect the terms in 425*o**2 - 637*o**2 + 2979*o**2.
2767*o**2
Collect the terms in 8626*a**3 + 48892*a**3 - 1127*a**3.
56391*a**3
Collect the terms in -4*q**2 + 220864 + 220862 - 662594 + 220868.
-4*q**2
Collect the terms in 10919*x**2 - 5535*x**2 + 50*x - 5382*x**2.
2*x**2 + 50*x
Collect the terms in -3907*d**2 + 5*d + 59 - 25 - 29 - 4*d.
-3907*d**2 + d + 5
Collect the terms in 12*z - 24*z - 355*z**2 + 356*z**2 - 1 + 12*z.
z**2 - 1
Collect the terms in 1944412*a - 3743667*a + 1799254*a.
-a
Collect the terms in 25*b - 2511 + 2507 - 33*b.
-8*b - 4
Collect the terms in -198111547 + 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1)*(f + 1)/7
Suppose -17*m + 30 = -14*m. Suppose i - 18 = -3*l, -5*i + 4*l = -l + m. What is o in -1 - 42*o + 39*o + 7 - i*o**2 = 0?
-2, 1
Let t be ((-60)/(-16))/(9*35/126). Factor -t*h + 1 + 1/2*h**2.
(h - 2)*(h - 1)/2
Let f(v) = -7*v**3 - 8*v**2 - 3*v - 2. Let h be f(-1). Let j(c) be the second derivative of 0 + h*c**3 + 0*c**2 + 1/36*c**4 + 11*c. Factor j(x).
x**2/3
Let c(w) = w**2 + 60*w - 1596. Let n be c(20). Factor -16/7*l**n - 40/7*l**3 + 0 - 3/7*l + 23/7*l**2.
-l*(l + 3)*(4*l - 1)**2/7
Let j(b) be the first derivative of b**4/10 + 2*b**3/15 - b**2 + 6*b/5 + 115. Let j(g) = 0. What is g?
-3, 1
Let d(z) = -z - 8. Let k be d(-5). Let u be 184/56 - ((-6)/7)/k. Solve 2/3*f**4 + 4/3*f + 0 + 8/3*f**u + 10/3*f**2 = 0 for f.
-2, -1, 0
Let y(d) be the third derivative of d**8/84 - 2*d**7/21 - 17*d**6/30 + 25*d**5/3 - 92*d**4/3 + 160*d**3/3 + 5*d**2 - 13*d. Suppose y(c) = 0. Calculate c.
-5, 1, 4
Suppose -7*d - 1168 = -1203. Let p(r) be the third derivative of 0 + 0*r + 10*r**2 + 0*r**6 + 0*r**3 + 0*r**d + 0*r**4 + 1/945*r**7. Let p(a) = 0. Calculate a.
0
Let k(d) be the third derivative of d**9/393120 - d**8/131040 + 2*d**5/15 + 18*d**2. Let p(r) be the third derivative of k(r). Factor p(x).
2*x**2*(x - 1)/13
Suppose -173*a**3 - 168*a**4 + 49*a**3 + 374108*a**2 - 373932*a**2 - 48*a + 180*a**5 = 0. What is a?
-1, 0, 3/5, 2/3
Let p(t) be the first derivative of 3*t**4/34 + 32*t**3/51 + 5*t**2/17 - 135. Determine o so that p(o) = 0.
-5, -1/3, 0
Let s(z) be the third derivative of 0 + 1/560*z**7 - 1/160*z**6 + 0*z**3 + 1/32*z**4 + 0*z - 1/160*z**5 - 7*z**2. Factor s(n).
3*n*(n - 2)*(n - 1)*(n + 1)/8
Let q(u) be the first derivative of -u**4/32 - u**3/24 + 5*u**2/8 - u + 39. Factor q(c).
-(c - 2)*(c - 1)*(c + 4)/8
Let g(z) = -43*z - 2. Let n be g(-2). Let y = n - 29. Solve -y - 3*t**3 + 3*t**2 + 55 = 0.
0, 1
Let h = -58 - -143/2. Solve -h*n**2 - 36*n - 24 = 0.
-4/3
Let u(c) = c**3 - c**2 - 2*c + 8. Let m be u(0). Suppose -m*q + 2 = -14. Find g such that -281*g**4 + 637*g**3 + 92*g - 8 - 62*g**4 - 74*g**q - 304*g**2 = 0.
2/7, 1
Determine j so that 2*j**2 + 0 + 9/4*j - 1/4*j**3 = 0.
-1, 0, 9
Find u, given that -40*u - 600 + 40*u**3 + 2/3*u**4 + 1798/3*u**2 = 0.
-30, -1, 1
Factor 0*i**5 + 0*i**2 + 15*i**4 - 5*i**5 - 15*i**3 + 5*i**2 + 122*i - 122*i.
-5*i**2*(i - 1)**3
Let s(z) = -14*z**4 + 16*z**3 - 8*z**2 + 6*z + 6. Let b(q) = -2*q**4 + q**3 + q + 1. Let j(y) = -6*b(y) + s(y). What is w in j(w) = 0?
0, 1, 4
Suppose 0 = -2*h + 2*d - 40 + 10, -4*d = 2*h + 60. Let v be (-1)/(-3) - h/12. Factor -2*r**4 + r**4 - v*r**5 - 3*r**4 - 2*r**3.
-2*r**3*(r + 1)**2
Let y(m) be the third derivative of m**6/780 + 61*m**5/390 + 58*m**4/39 + 76*m**3/13 + 6*m**2 - 26*m. Factor y(d).
2*(d + 2)**2*(d + 57)/13
Suppose 0 = -5*h + y + 13 - 6, -2*y = -4*h + 2. Suppose -2/11*w**h - 4/11 + 6/11*w = 0. What is w?
1, 2
What is o in -9/4 + 3/4*o**2 - 3/2*o = 0?
-1, 3
Suppose 5*a + n - 12 = 0, -8*a = -4*a - 24*n - 84. Determine w so that 8/3*w**4 - 4*w**a + 0 - 8/3*w**2 + 0*w = 0.
-1/2, 0, 2
Let s = -7 + 9. Factor -31*z - 40 - z**2 - 2*z**s + z - 35.
-3*(z + 5)**2
Determine p, given that -8/3 - 66*p**2 + 27*p**3 + 76/3*p = 0.
2/9, 2
Let a(o) be the second derivative of 5/6*o**3 - 5*o + 0*o**4 + 1/1800*o**6 + 0 + 0*o**2 + 1/200*o**5. Let x(n) be the second derivative of a(n). Factor x(q).
q*(q + 3)/5
Let x(s) be the third derivative of s**7/210 - s**6/90 - 3*s**3/2 - 2*s**2. Let d(p) be the first derivative of x(p). Factor d(k).
4*k**2*(k - 1)
Let g(f) be the third derivative of -f**6/160 - 41*f**5/80 + 21*f**4/16 + 59*f**2. Factor g(l).
-3*l*(l - 1)*(l + 42)/4
Let a(u) = -74*u**3 + 105*u**2 + 165*u + 7. Let i(t) = -50*t**3 + 70*t**2 + 110*t + 5. Let m(o) = -5*a(o) + 7*i(o). Factor m(q).
5*q*(q + 1)*(4*q - 11)
Let s(k) be the third derivative of k**5/45 - 113*k**4/9 + 25538*k**3/9 + 3*k**2 + 16. Factor s(i).
4*(
|
{
"pile_set_name": "DM Mathematics"
}
|
- 67*d = 4253 + 6931 - 1315 for d.
71
Solve 310*d - 4114 - 26390 = 728*d + 2518 for d.
-79
Solve -82*c = -625*c - 10317 for c.
-19
Solve 549*x + 14780 = -6474 + 7930 - 14675 for x.
-51
Solve 59*s + 93*s - 1343 + 306 - 787 = 0 for s.
12
Solve 114*u = -2026355 + 2025671 for u.
-6
Solve -36*h - 250*h + 1587 = 5759 + 6982 for h.
-39
Solve -712*g = -27298 - 26814 for g.
76
Solve -9*y - 29*y - 15964 = -16990 for y.
27
Solve 5450*d + 496 + 1316 = 5148*d for d.
-6
Solve 0 = 1124*v - 13002 - 4982 for v.
16
Solve 286*o - 189*o - 208*o + 5106 = 0 for o.
46
Solve -1201*k - 5594 = 19167 - 3143 for k.
-18
Solve -4317 = -376*n + 7381 - 3802 for n.
21
Solve -19063 = 535*x - 168*x - 1080 for x.
-49
Solve -37*m - m - 49*m - 8*m - 3420 = 0 for m.
-36
Solve 2361 + 2781 + 14724 = 903*g for g.
22
Solve -8516 = 1737*r + 3065 + 7526 for r.
-11
Solve -15953 - 167722 = 1975*v for v.
-93
Solve -1714 - 1232 + 272 = -191*n for n.
14
Solve 204449*y - 11872 = 204237*y for y.
56
Solve 85*j - 25228 = 986*j for j.
-28
Solve -2078*m - 75764 = -1479*m + 1845*m for m.
-31
Solve -6470 + 7479 = 163*p + 14212 for p.
-81
Solve -17*c + 147 = -86 - 16 - 23 for c.
16
Solve 70*r - 240 = 100*r for r.
-8
Solve -4308 + 1306 = 260*k + 10778 for k.
-53
Solve 0 = 22237*g - 22260*g + 920 for g.
40
Solve -80*h - 1652009 + 1650809 = 0 for h.
-15
Solve 15539*i + 5217 = 15398*i for i.
-37
Solve 16*r - 9226 = 1004*r + 14486 for r.
-24
Solve 7453*d + 507 = 7466*d for d.
39
Solve -191*p - 11*p - 8840 = 58*p for p.
-34
Solve -794*t - 3528 = -30524 for t.
34
Solve -1730 - 12382 = 288*o for o.
-49
Solve 24*k - 218 = 378 + 844 for k.
60
Solve -1132*a + 522*a = -8*a + 55384 for a.
-92
Solve 420*n + 2400 = 290*n + 170*n for n.
60
Solve 1043545*k - 1043556*k = 693 for k.
-63
Solve 18810*d = 19092*d + 10998 for d.
-39
Solve -2470*o - 74147 + 156556 = 17413 - 194354 for o.
105
Solve 0 = 131*g - 680 - 3381 for g.
31
Solve -111*x - 599 - 2244 = 236 - 637 for x.
-22
Solve -580 - 2443 - 3097 - 2140 = -590*r for r.
14
Solve 0 = -42255*n + 42948*n - 6930 for n.
10
Solve -221*j = -1267*j - 217*j + 66939 for j.
53
Solve -277*t - 31454 = -6801 for t.
-89
Solve 8098*a = 8629*a + 11682 for a.
-22
Solve -16*p + 3808 = 265*p - 43*p for p.
16
Solve 0 = 64*k + 425541 - 425861 for k.
5
Solve -1600*t - 757 = -8757 for t.
5
Solve -1916*c + 1044 = -989*c - 985*c for c.
-18
Solve 4738*c + 134513 = 608313 for c.
100
Solve 981*q + 53575 = -7428 + 11953 for q.
-50
Solve -115*v + 580 + 3100 = 0 for v.
32
Solve 14*q + 42 + 80 = -300 - 180 for q.
-43
Solve 49*u - 549 = -17*u + 16*u + 2551 for u.
62
Solve -277029 = 985*l - 1605*l - 3139*l + 140220 for l.
111
Solve 475*w - 386*w - 6372 = -2549*w - 154100 for w.
-56
Solve 0 = -163*s - 352 + 6057 for s.
35
Solve 241*f + 12951 = 840*f - 16999 for f.
50
Solve 0 = 63635*t - 63631*t - 64 for t.
16
Solve -6032 - 1909 - 7203 = -258*s + 4980 for s.
78
Solve -18113*m + 17940*m - 8131 + 1903 = 0 for m.
-36
Solve -401*x + 368*x + 11360 = 677*x for x.
16
Solve -328 + 951 + 1181 = -82*v for v.
-22
Solve 0 = 62*w - 797 + 3959 for w.
-51
Solve -118*n - 145*n = -377*n + 171*n + 399 for n.
-7
Solve -100*v + 317*v + 36*v = 253 for v.
1
Solve -28*i + 4536 = -302*i - 6150 for i.
-39
Solve -16*r - 1355 - 1095 = -74*r - 40*r for r.
25
Solve -23*o - 9*o = 18*o + 144*o - 1164 for o.
6
Solve 0 = 281*v + 918*v - 644*v + 1517*v + 8288 for v.
-4
Solve -88*l - 20703 - 21233 = -40088 for l.
-21
Solve -7621 - 11480 + 12941 = 112*k for k.
-55
Solve 3410*s + 52839 = -113838 - 10643 for s.
-52
Solve 318*i - 53130 = -15606 for i.
118
Solve -43*d - 1175 - 3210 = -6234 for d.
43
Solve -23*h + 220 = -76*h + 1545 for h.
25
Solve 4041*b - 3303*b + 7793 = 49859 for b.
57
Solve -790*j = 1033*j - 1567*j + 2920 + 6296 for j.
-36
Solve 1282 - 1826 - 1766 = 105*n for n.
-22
Solve -706*k + 1267 = -13559 for k.
21
Solve -82971*n + 82957*n + 618 + 26 = 0 for n.
46
Solve 554 = 78*f + 13*f - 811 for f.
15
Solve 4816 - 8900 = 3*k - 4372 for k.
96
Solve 737939*t = 738013*t - 5698 for t.
77
Solve 0 = -28509*d + 28448*d + 366 for d.
6
Solve 84299 = 2205*k - 74461 for k.
72
Solve 823*p + 470*p - 37601 = -11741 for p.
20
Solve -31612 = -911*h + 9383 for h.
45
Solve -2377*y - 52210 = 2754*y + 35017 for y.
-17
Solve 3452*g + 17506 + 26883 = -35007 for g.
-23
Solve -462249 = -6420*f + 269631 for f.
114
Solve 65*y - 85 + 4561 = 381 for y.
-63
Solve -
|
{
"pile_set_name": "DM Mathematics"
}
|
st the prime factors of 4/(-16)*40/i + 289.
2, 3, 7
Suppose -26 = -4*q - 5*p, -5*q + 7*p = 10*p - 26. Suppose 0*h = -4*h - q, -5*b = h - 8809. List the prime factors of b.
2, 881
Let x = -53116 - -83598. What are the prime factors of x?
2, 15241
Let p(u) = -39*u - 38. Let j(c) = -3*c + 23. Let g be j(15). What are the prime factors of p(g)?
2, 5, 41
Suppose 5*s - 11*b - 23417 = -15*b, b - 23408 = -5*s. What are the prime factors of s?
31, 151
Let z(p) = 3*p**3 + 3*p**2 - 4*p + 4. Let x = 42 - 42. Suppose -w + x*w = -f + 2, 4 = 2*f - 4*w. List the prime factors of z(f).
2
Let z = -98 + 94. What are the prime factors of z/12 - (-2 - 1144/3)?
383
Let l = 44559 - 107. What are the prime factors of l?
2, 11113
Let d be (-178584)/(-98) - 6/21. Let q = -833 + d. What are the prime factors of q?
23, 43
Let p = 31325 - 16871. Let r be 3*(-2)/(-4) + p/36. Suppose r = 2*l - 4*k - 155, -5*l - 4*k = -1381. What are the prime factors of l?
277
Let q = 133 - -139. Let y = q - 789. Let s = -330 - y. List the prime factors of s.
11, 17
Suppose -5*v - 36 = -n, 2*n - n - 2*v - 42 = 0. Let w = 37 - n. What are the prime factors of -44*(w/4 - 2)?
11, 17
Let o = -262 - 326. Let d = o + 945. List the prime factors of d.
3, 7, 17
Let d = 62 + -98. Let f be -6*((-4)/18 + 700/d). What are the prime factors of f + -12 + 4/(-1)?
2, 3, 17
Let m(v) = 74*v**2 + v + 220. List the prime factors of m(-13).
12713
Suppose o - 11 = 23. Let a = 475 - 350. Suppose o = -g + a. What are the prime factors of g?
7, 13
Suppose -2185130 = -98*t - 162116. List the prime factors of t.
3, 7, 983
Let t = 49 + -56. Let c be ((-786)/8)/((-1)/(t + 3)). Let p = -281 - c. What are the prime factors of p?
2, 7
Let o = -233 + 623. Suppose -2*v + 226 = -4*d - 170, -2*v - 2*d = -o. What are the prime factors of v?
2, 7
Let o = -53 + 117. Suppose f + 5*y + o = 5*f, -5*f + 80 = -4*y. Suppose -f*w - 148 = -18*w. What are the prime factors of w?
2, 37
Let m = 13214 - -46602. List the prime factors of m.
2, 7477
Let j(z) = -94 - 57*z + 45 - 61 - 42 + 107*z. What are the prime factors of j(4)?
2, 3
Suppose -5 + 15 = 5*f. Suppose -f*n + 13 = -103. What are the prime factors of n?
2, 29
Suppose 2 - 12 = 5*k, 3*l + k = -1058. Let m = 801 + l. List the prime factors of m.
449
What are the prime factors of -117 + 4091 - 28/2?
2, 3, 5, 11
Let x(v) = 175 - 91 - v**3 + 296. Let t be x(0). Suppose -20*s + 15*s + t = 0. List the prime factors of s.
2, 19
Let s(d) = -d**3 + 3*d**2 + 9*d + 3. Let y be s(6). Let a = 20 - y. What are the prime factors of a?
71
Let w(y) = 2*y**3 - 4*y**2 + 18*y + 8. Let m be 3*((-88)/3)/(-11). What are the prime factors of w(m)?
2, 5, 23
Suppose 76 = -17*l + 15*l + 3*b, -2*l + 5*b - 68 = 0. What are the prime factors of (-4653)/l + 2/8 - -2?
2, 3
Let i(b) = -b**3 - b**2 + 2*b - 7. Suppose 15*z - 20*z = 15. Let k be i(z). Let o(x) = 3*x**2 + x - 12. List the prime factors of o(k).
2, 17
What are the prime factors of (-1 + 4/6)/((-6)/135180)?
2, 5, 751
Let j = -100 + 107. Suppose -297 = x - 2*r, 2*x - 3*r + j = -591. List the prime factors of (12/20 + (-24)/15)*x.
5, 61
Let h = 383 + -380. List the prime factors of (291/15)/((18/h)/30).
97
Let s(o) be the second derivative of -157*o**3/6 + 19*o**2/2 + 30*o + 3. What are the prime factors of s(-6)?
31
Suppose -57*a - 842 = -58*a + n, -a - 2*n = -827. What are the prime factors of a?
3, 31
Suppose 4*g - 29 = -5*k, 5*k - 9*k + 16 = 5*g. Suppose -486 - 585 = -k*r. List the prime factors of r.
7, 17
Let s be 175/((85/130)/17). Let h = s - 2970. List the prime factors of h.
2, 5, 79
Let s be 108/15*420/63. Suppose 0 = 81*f - s*f - 13926. What are the prime factors of f?
2, 211
Suppose 0 = 3*n - 1537 - 536. Suppose 16*y - 3533 = n. List the prime factors of y.
2, 3, 11
Let p be (6 - 5)/((-1)/(-4)). Suppose a + 42 = -3*v - 2*a, 0 = 4*a + p. Let t(m) = -m**3 - 11*m**2 + 20*m + 15. What are the prime factors of t(v)?
3, 31
Let v be (-96)/9*(-4)/((-32)/(-1140)). Suppose -9*i = -13*i + v. Suppose -3*h + i = h. What are the prime factors of h?
5, 19
Suppose 5*i = p - 65, p - 5*i = 3*p - 55. What are the prime factors of ((-1084)/10)/((-8)/p)?
2, 271
Let k = 2 - -10. Suppose 2688 = -4*t + k*t. List the prime factors of t.
2, 3, 7
Let o = 45 - 42. Suppose -o = -5*p + 157. Suppose -12 = p*q - 36*q. List the prime factors of q.
3
Let y(v) = -v**3 + 2*v + 108. Let z be y(0). Suppose 0 = 210*c - 209*c - z. List the prime factors of c.
2, 3
Suppose -608148 + 103554 = -153*c. What are the prime factors of c?
2, 17, 97
Let d(z) = 8*z + 1. Let q(s) = s**3 - 5*s**2 + 2*s - 10. Let i be q(5). Suppose i*n + 4*n = 44. List the prime factors of d(n).
89
Suppose 0*t + 5*t = 5. Let p be (3 - 4)*1 - (t - 4). What are the prime factors of (p + 2)/((-4)/(-32))?
2
Let m = 1164 + -571. Suppose f + 71 = m. List the prime factors of f.
|
{
"pile_set_name": "DM Mathematics"
}
|
ect the terms in 2*c**3 - 287 + 95*c - 284 - 289 + 858.
2*c**3 + 95*c - 2
Collect the terms in -20087*p**2 + 3348*p**2 - 11536*p**2.
-28275*p**2
Collect the terms in -1061360*k**2 + 530876*k**2 + 530496*k**2.
12*k**2
Collect the terms in 23*u - 2 + 1 - 20*u + 140*u**2 - 27*u**2 - u.
113*u**2 + 2*u - 1
Collect the terms in -5 - 4*w**2 + 4*w**2 - 4*w**2 - 1069*w + w**2.
-3*w**2 - 1069*w - 5
Collect the terms in -42*i - 45*i + 35*i + 159*i - 40*i - 39*i - 47*i.
-19*i
Collect the terms in 1408 + 58140*c**3 - 1408 - 14126*c**3.
44014*c**3
Collect the terms in -38892 + 10*c**2 - 38542 - 14*c**2 + 77434.
-4*c**2
Collect the terms in 47*z + 1991*z**2 - 97*z + 25*z + 25*z.
1991*z**2
Collect the terms in -30*o**3 - 60652011 + 2*o**2 + 60652011 + o.
-30*o**3 + 2*o**2 + o
Collect the terms in -2971*m**3 + 3124*m**3 - 187*m**3.
-34*m**3
Collect the terms in 111*w**2 - 108*w**2 + 3179399 - 3179335.
3*w**2 + 64
Collect the terms in 2305 - 1142 - 119*c**2 - 1164.
-119*c**2 - 1
Collect the terms in 3936 - 1315 - 1313 - 1308 - 21*l**2 + 17*l**2.
-4*l**2
Collect the terms in -1 + 0 - 226*l**2 - 505*l - 203*l + 222*l**2.
-4*l**2 - 708*l - 1
Collect the terms in -14654666846371*z**2 + 3*z**3 + 14654666846371*z**2.
3*z**3
Collect the terms in -374*n - 52*n + 158*n + 1 - 364*n.
-632*n + 1
Collect the terms in -269*d**3 - 48*d**3 - 1288*d**3.
-1605*d**3
Collect the terms in 57145 + 15*p**2 + p**2 + 2*p**2 + 0*p**2 - 17*p**2 - 57145 - 2*p**2.
-p**2
Collect the terms in -34*s**3 - 556*s - 36*s**3 + 1860*s.
-70*s**3 + 1304*s
Collect the terms in 2268*k + 2273*k + 2275*k + 2278*k - 13630*k + 2264*k + 2268*k.
-4*k
Collect the terms in -46037 + 46037 + 4*v**2 - 4*v**2 - 15603*v**3.
-15603*v**3
Collect the terms in -67*c - 653 + 316 + 337 - 498*c.
-565*c
Collect the terms in -257 - 69*b + 107 + 72*b + 52 + 50 + 48.
3*b
Collect the terms in -23*p - 356*p**2 - 2 + 2 - 329*p**2 + 619*p**2.
-66*p**2 - 23*p
Collect the terms in 0*f**3 - 3030 - 2*f**3 - 73181*f + 73181*f.
-2*f**3 - 3030
Collect the terms in 346420*q**2 - 8197*q - 346416*q**2 + 2303*q.
4*q**2 - 5894*q
Collect the terms in 4*i**2 - 9 + 460*i - 2235*i + 885*i + 890*i.
4*i**2 - 9
Collect the terms in -30*b - 14*b - 24*b - 3454 + 3455 - 20*b + 120*b - 13*b.
19*b + 1
Collect the terms in -74 + 8 + 14 - 425*l - 1285*l + 52.
-1710*l
Collect the terms in 880663*y - 1761397*y + 880734*y + 4 + 13*y**2.
13*y**2 + 4
Collect the terms in 125 + 129 - 387 - 367*i + 1701*i + 129.
1334*i - 4
Collect the terms in 1496859421*x**3 - 1 - 1496859399*x**3 + 2.
22*x**3 + 1
Collect the terms in 3 - 2*h - 2 + 6*h**2 - 678*h**3 - 4*h.
-678*h**3 + 6*h**2 - 6*h + 1
Collect the terms in -289*x**2 + 16 - 142*x**2 - 16 + 31*x**2 - 8*x**3 - 2.
-8*x**3 - 400*x**2 - 2
Collect the terms in t**2 + 528 - 528 - 10*t**3 + 380*t.
-10*t**3 + t**2 + 380*t
Collect the terms in 3572 - 1758 - 1814 - 781*t**2.
-781*t**2
Collect the terms in 3*d + 0*d + 5335*d**2 - 8*d + 13667*d**2.
19002*d**2 - 5*d
Collect the terms in 5*r - 12 + 1 + 3 - 465*r**2 + 5.
-465*r**2 + 5*r - 3
Collect the terms in -685*u + 0*u**2 - 3297*u + 4*u**2 - 1742*u.
4*u**2 - 5724*u
Collect the terms in -x**2 + 81287*x**3 + 285257*x**3 + x**2.
366544*x**3
Collect the terms in 27*d - 53*d**2 + 162*d**2 - 1472*d**3 - 109*d**2.
-1472*d**3 + 27*d
Collect the terms in 6785*g**3 - 3 - 11*g**2 + 6727*g**3 - 13644*g**3.
-132*g**3 - 11*g**2 - 3
Collect the terms in -1407*s - 14665*s + 2981*s - 5422*s.
-18513*s
Collect the terms in 459*x**2 + x - x - 1353*x**2 + 6 + 431*x**2 + 464*x**2.
x**2 + 6
Collect the terms in 9924*k - 10 - 11880*k + 10.
-1956*k
Collect the terms in 2*x + 0*x**2 + 637261 - 637278 + 2*x**2 + 0*x**2.
2*x**2 + 2*x - 17
Collect the terms in -148 - 232 - 149 - 2*o**2 - 7*o - 154 + 683.
-2*o**2 - 7*o
Collect the terms in 11*w**2 + 21*w**2 - 31*w**2 + 33*w**2 - 2 + 8*w - 4*w.
34*w**2 + 4*w - 2
Collect the terms in 5*x**2 + 1317*x - 3481*x + 2*x**2 + 2164*x.
7*x**2
Collect the terms in 655 + s**2 + 3560 - 11*s + 4259.
s**2 - 11*s + 8474
Collect the terms in 5379*d**3 + 552*d**3 + 456*d**2 - 456*d**2.
5931*d**3
Collect the terms in -346*t**2 - t + 203086 - 203086 + 76*t**2 - 218*t**2.
-488*t**2 - t
Collect the terms in -31 - 3 - 105*n + 34 + 2 - 2.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
55618528?
True
Does 63 divide 14351904?
True
Is 3658 a factor of 56592918?
True
Is 186 a factor of 1684730635?
False
Is 258589827 a multiple of 130?
False
Is 31315065 a multiple of 200?
False
Is 22291142 a multiple of 19?
True
Is 48459777 a multiple of 157?
True
Does 114 divide 296409690?
True
Does 2 divide 68051261?
False
Is 536 a factor of 157942313?
False
Is 297 a factor of 51833355?
False
Is 39625560 a multiple of 2340?
True
Is 1921631050 a multiple of 1246?
False
Does 19 divide 365526949?
False
Does 12 divide 100363335?
False
Is 7704 a factor of 1007752356?
False
Is 3137090110 a multiple of 110?
True
Is 116 a factor of 82140528?
True
Does 48 divide 6129119952?
True
Does 238 divide 171449726?
True
Is 317 a factor of 65770209?
True
Is 1234 a factor of 417793397?
False
Is 3827 a factor of 340267306?
False
Is 13078276 a multiple of 12?
False
Is 9 a factor of 314667?
True
Is 9484598 a multiple of 617?
False
Does 17 divide 31718770?
True
Is 2376276 a multiple of 12?
True
Does 84 divide 66965472?
True
Does 371 divide 47146309?
True
Is 56835353 a multiple of 114?
False
Does 53 divide 21435235?
False
Does 24 divide 61130553?
False
Is 528367535 a multiple of 4993?
False
Is 8233497 a multiple of 9?
True
Is 64 a factor of 575459468?
False
Is 49853520 a multiple of 680?
True
Is 476032365 a multiple of 19?
True
Is 20 a factor of 479626042?
False
Is 97610432 a multiple of 461?
False
Is 1274368 a multiple of 64?
True
Is 84602272 a multiple of 4?
True
Does 2460 divide 128987640?
True
Is 186 a factor of 983207646?
False
Is 121866287 a multiple of 131?
True
Is 922035486 a multiple of 1187?
True
Is 71 a factor of 14603626?
False
Does 130 divide 2848515?
False
Does 25 divide 36367050?
True
Is 1503 a factor of 115747533?
True
Is 14 a factor of 7910070?
True
Does 64 divide 232374784?
True
Does 3007 divide 122324445?
False
Is 313302968 a multiple of 383?
False
Is 6 a factor of 239315451?
False
Is 62569698 a multiple of 1201?
True
Is 3138 a factor of 295872606?
True
Does 11 divide 54187177?
True
Does 15 divide 200371964?
False
Is 7829292 a multiple of 19?
True
Is 882 a factor of 156119845?
False
Does 125 divide 6241000?
True
Is 358460884 a multiple of 74?
True
Is 19130116 a multiple of 15?
False
Does 30 divide 51205890?
True
Does 42 divide 75129399?
False
Is 799240 a multiple of 13?
True
Is 51 a factor of 53352171?
True
Does 19 divide 28700431?
True
Is 6856343 a multiple of 13?
True
Is 483283800 a multiple of 30?
True
Does 290 divide 123940896?
False
Is 2531618 a multiple of 3?
False
Does 38 divide 2619834?
True
Is 326945619 a multiple of 21?
True
Is 1021 a factor of 107222479?
False
Is 334625176 a multiple of 5?
False
Does 1630 divide 156346340?
True
Is 11 a factor of 208983964?
False
Does 316 divide 15972651?
False
Is 480714390 a multiple of 4635?
True
Does 4394 divide 584191088?
True
Is 28650401 a multiple of 460?
False
Is 4 a factor of 1067097?
False
Does 72 divide 14644566?
False
Is 17281103 a multiple of 13?
False
Is 47 a factor of 9983802?
False
Does 32 divide 3156704?
True
Is 4308930515 a multiple of 1895?
False
Does 80 divide 62651840?
True
Is 2287 a factor of 38632004?
True
Is 3 a factor of 8250294?
True
Does 19 divide 25193259?
True
Does 951 divide 31444255?
False
Is 5616196284 a multiple of 28?
False
Is 611631394 a multiple of 17?
False
Is 7163372 a multiple of 380?
False
Is 559538978 a multiple of 202?
False
Does 7568 divide 3996871546?
False
Is 34800519 a multiple of 13?
True
Is 988401870 a multiple of 194?
True
Does 206 divide 180978828?
True
Is 2263201586 a multiple of 161?
False
Is 239 a factor of 32994189?
True
Is 27 a factor of 26520680?
False
Does 306 divide 500323464?
True
Is 257492109 a multiple of 1108?
False
Is 5 a factor of 23444264?
False
Does 11 divide 779726695?
True
Does 624 divide 746865377?
False
Is 35 a factor of 15177890?
True
Is 131555613 a multiple of 3?
True
Is 224877840 a multiple of 15?
True
Is 24 a factor of 49788792?
True
Is 24840349 a multiple of 44?
False
Is 13396249 a multiple of 13?
False
Does 217 divide 64384518?
False
Is 641107264 a multiple of 68?
True
Does 960 divide 5071680?
True
Is 1535207589 a multiple of 199?
True
Is 309749271 a multiple of 199?
True
Does 23 divide 40576046?
False
Is 980243098 a multiple of 38?
True
Is 48 a factor of 2588405952?
True
Is 9085002 a multiple of 13?
False
Is 2057651304 a multiple of 51?
True
Is 13720599 a multiple of 55?
False
Is 81 a factor of 38325430?
False
Is 50 a factor of 255200550?
True
Is 137487294 a multiple of 3906?
True
Does 51 divide 2363593595?
False
Is 599951016 a multiple of 36?
True
Is 2380219168 a multiple of 32?
True
Is 10 a factor of 6903250?
True
Is 2571 a factor of 857867036?
False
Is 1507159448 a multiple of 364?
False
Does 11 divide 83080624?
True
Does 44 divide 9002550?
False
Is 2598513189 a multiple of 2917?
True
Is 850786816 a multiple of 176?
True
Is 2931 a factor of 518593554?
True
Is 36 a factor of 6619140?
True
Does 605 divide 14287075?
True
Is 856 a factor of 157513285?
False
Is 3341 a factor of 783116275?
False
Is 993 a factor of 281859078?
True
Is 350 a factor of 5098424100?
True
Is 288 a factor of 3693508?
False
Does 1606 divide 532149706?
True
Does 453 divide 199409694?
True
Is 1060 a factor of 414696380?
True
Does 32 divide 380091168?
True
Is 243371904 a multiple of 16?
True
Is 2605496 a multiple of 3?
False
Does 4 divide 313957584?
True
Is 46266710 a multiple of 665?
True
Does 104 divide 312129360?
False
Is 124 a factor of 70397404?
True
Does 832 divide 2499506048?
True
Does 23 divide 9926931?
False
Is 15834144 a multiple of 57?
True
Is 43086654 a multiple of 39?
True
Is 1576613399 a multiple of 1720?
False
Is 52600102 a multiple of 431?
True
Is 550801251 a multiple of 117?
True
Is 168795298 a multiple of 46?
True
Is 47 a factor of 929215070?
False
Is 230 a
|
{
"pile_set_name": "DM Mathematics"
}
|
olve 295 = -179*y - 242 for y.
-3
Solve 436*a = 449*a + 65 for a.
-5
Solve 28*c - 20*c = 152 for c.
19
Solve 11*i = 23*i - 24 for i.
2
Solve 314*g + 170*g + 4866 = -4330 for g.
-19
Solve -259*k - 3 = -59*k + 1797 for k.
-9
Solve 42*s = 327*s + 125*s for s.
0
Solve 0 = 39*a - 40 - 80 + 3 for a.
3
Solve -513 = 2134*j - 2115*j for j.
-27
Solve r = -5039 + 5036 for r.
-3
Solve 63 - 126 = -2*y - 67 for y.
-2
Solve -p + 71 + 439 = 50*p for p.
10
Solve -40035*t = -39965*t - 1470 for t.
21
Solve 543*m = 259*m + 259*m + 325 for m.
13
Solve -420*l + 176 = 430*l - 861*l for l.
-16
Solve -92*k + 1938 = 246 - 976 for k.
29
Solve 6*p + 20 = 44 for p.
4
Solve 16*o = 23021 - 23005 for o.
1
Solve -5656 = -179*s + 79*s - 102*s for s.
28
Solve 297*v - 160 = -292*v + 579*v for v.
16
Solve 109*r = -215*r - 1620 for r.
-5
Solve -399*l = -345*l + 409*l - 463 for l.
1
Solve 3365*k = 3136*k - 2290 for k.
-10
Solve -4*v = 242 - 270 for v.
7
Solve -1252*j + 10744 + 9521 = 3989 for j.
13
Solve -336*r - 54 = -301*r - 474 for r.
12
Solve -860*p = -894*p + 374 for p.
11
Solve -239 = 38*o - 845 + 226 for o.
10
Solve -16*i - 276 + 52 = 0 for i.
-14
Solve 16 - 94 = -22*c + 28*c for c.
-13
Solve -6*m + 133215 = 133149 for m.
11
Solve -1673*h + 2164*h = -17185 for h.
-35
Solve -45*a - 2244 = -68*a - 109*a for a.
17
Solve -1012124*a - 516 = -1012081*a for a.
-12
Solve 3456 - 3441 = 3*i for i.
5
Solve -93*k - 113*k + 3654 = -1496 for k.
25
Solve -122*s = -342 + 708 for s.
-3
Solve -158*h + 104 - 262 = 0 for h.
-1
Solve 0 = 248*y - 28*y + 1980 for y.
-9
Solve 59 = -18*w - 10*w - 25 for w.
-3
Solve -1332 + 4835 = 398*d - 6049 for d.
24
Solve -22331*h + 22351*h = 160 for h.
8
Solve -103*q + 915*q + 9925 + 2255 = 0 for q.
-15
Solve -46*i + 24 = -49*i for i.
-8
Solve 125*h = 116*h + 27 for h.
3
Solve -19*f - 13*f + 83 + 109 = 0 for f.
6
Solve 2*a + 1782 = 144*a - 61*a for a.
22
Solve 1205*h - 225 - 5139 = -136*h for h.
4
Solve 11*m - 14*m - 126 = 39*m for m.
-3
Solve -70*z = -22*z + 51*z - 1089 for z.
11
Solve 5*o + 18*o + 28*o + 51 = 0 for o.
-1
Solve 102*c + 2540 + 34 = 3*c for c.
-26
Solve -207*o - 1744 = -295 for o.
-7
Solve -31*b - 187 = -590 for b.
13
Solve -456*w = 7503 + 4353 for w.
-26
Solve -12*j - 61 = -17 - 32 for j.
-1
Solve 40*d - 40 + 149 = 29 for d.
-2
Solve -12*w + 1 + 127 = 32 for w.
8
Solve 95*o - 12*o = -15*o + 1960 for o.
20
Solve 28*p + 41*p - 48 = 85*p for p.
-3
Solve -457*m + 439*m - 198 = 0 for m.
-11
Solve -32*t - 10890 = 318*t + 145*t for t.
-22
Solve -32923 + 31273 = -66*v for v.
25
Solve 4338 = 18*c + 4230 for c.
6
Solve -1064 = 5198*f - 5122*f for f.
-14
Solve -6349 = 12*n - 6469 for n.
10
Solve 64*p + 360*p = -444*p - 5208 for p.
-6
Solve -52*m - 239*m - 4365 = 0 for m.
-15
Solve -216*w = -2727 + 4671 for w.
-9
Solve 37*j - 294 + 38 - 3 = 0 for j.
7
Solve -297 - 83 - 1276 = -92*x for x.
18
Solve 0 = 10*v - 108*v - 31*v - 387 for v.
-3
Solve -343 - 53 = 36*c for c.
-11
Solve 19*u + 152 = -23*u - 34*u for u.
-2
Solve 168*w + 5 = 140*w + 5 for w.
0
Solve -1846*u = -1858*u + 24 for u.
2
Solve 10986*b = 11002*b - 192 for b.
12
Solve -957*p = -996*p + 195 for p.
5
Solve 0*m + 6380 = 151*m + 168*m for m.
20
Solve 810 = -150*b - 111*b + 2376 for b.
6
Solve -11*h + h = -9*h + 7 for h.
-7
Solve -43*m = -171 - 1 for m.
4
Solve -676*l - 17038 + 2680 = 1190 for l.
-23
Solve 0 = -122707*p + 122685*p - 484 for p.
-22
Solve -1603 - 245 = 168*x for x.
-11
Solve 4842 - 4275 = 27*t for t.
21
Solve -47*p + 652 - 558 = 0 for p.
2
Solve -229*h + 597 - 175 = -265 for h.
3
Solve -21*f = -50*f + 12*f - 238 for f.
-14
Solve 35*y = -14*y + 686 for y.
14
Solve 480*k - 958*k + 493*k = 150 for k.
10
Solve -105*g - 41*g - 2774 = 0 for g.
-19
Solve 112*n - 471 = -45*n for n.
3
Solve -11*p = -150*p + 1390 for p.
10
Solve 178*s + 1288 = -6*s for s.
-7
Solve 0 = -219*k + 4148 - 425 for k.
17
Solve 407*f = 279*f - 1152 for f.
-9
Solve 1598 + 442 = -120*c for c.
-17
Solve -40*v + 1045 = 55*v for v.
11
Solve 1795 = -121*x - 451 - 658 for x.
-24
Solve -28 - 35 = 3*b - 57 for b.
-2
Solve -72*j + 65*j = -70 for j.
10
Solve 388 - 836 = -49*y + 385 for y.
17
Solve -78 = -235*u + 120*u + 89*u for u.
3
Solve 15*q + 31*q = -414 for q.
-9
Solve -263*d + 278*d - 30 = 0 for d.
2
Solve 230
|
{
"pile_set_name": "DM Mathematics"
}
|
prime factors of n.
5
Let x = -27 - -32. Let a(n) = n**3 - 5*n**2 + 6*n - 4. What are the prime factors of a(x)?
2, 13
Let k be 3*((-2)/2 - -2). Suppose 2*n = 3*n - 2. Suppose d = k + n. What are the prime factors of d?
5
Suppose 2*r - 3*p + 12 = 0, r + 2*r = -3*p + 12. Suppose 0*b = -2*n - b + 23, -3*n + 4*b + 29 = r. Let k = -3 + n. List the prime factors of k.
2
Let k(z) = 5*z - 6. Let u = 18 - 12. List the prime factors of k(u).
2, 3
What are the prime factors of 110 + (-5 - -3)*(-5 - -4)?
2, 7
Suppose -2*i - 2*y + 18 = 0, -2*y + 5*y - 19 = -i. Suppose -i*o - 39 = -7*o. List the prime factors of (-2)/(-2 + 0)*o.
13
Suppose -5*b + 28 = 2*h, 2*h = -2*b + b + 12. Suppose h = f - 0. Suppose f*z - 36 = z. List the prime factors of z.
2, 3
Let y = 13 + -8. Suppose 0 = 5*r + g - 22, -y = -5*g + 5. Suppose -5*s = -4*h + 79, -r*h - s = 2*s - 55. List the prime factors of h.
2
Let m(u) = -u**3 - 3*u**2 + 3*u + 6. Let n be m(-4). Suppose -3*t - 6*g - n = -g, 3*g = 4*t - 6. Suppose 10 = 2*b - t. What are the prime factors of b?
5
Suppose 5*c - 76 + 6 = 0. Suppose 4*t = 18 + c. Suppose -6 = -2*a, t*a - 16 = -2*n + 4*a. What are the prime factors of n?
2
Let q = 94 + -29. List the prime factors of q.
5, 13
Let y = 119 + -49. Suppose -3*s - 6 - 9 = 0, -3*s = 5*b - y. What are the prime factors of b?
17
Suppose 38 = z - 2. List the prime factors of z.
2, 5
Let r(q) = q**3 + 5*q**2 + q - 5. Suppose 0 = -3*o - 16 + 4. What are the prime factors of r(o)?
7
Let a = 281 + -182. What are the prime factors of a?
3, 11
Suppose 0 = x - 3 - 11. List the prime factors of 10/(-15)*(-1 - x).
2, 5
Let o(t) = 3*t**3 - 4*t**2 + t + 4. List the prime factors of o(5).
2, 71
Let z(j) = -6*j + 1. Let w be z(1). Let b be w*1*(-12)/(-30). Let k(v) = -v**3 + v**2 + v - 1. List the prime factors of k(b).
3
Let r(n) = n**3 + 3*n**2 - 4. What are the prime factors of r(2)?
2
Suppose -q = -4*q. Suppose -3*o + 12 + 12 = -5*w, 2*o + w - 16 = q. Let i = o - -2. What are the prime factors of i?
2, 5
Suppose a + 3*a = 116. Let g = a - -2. List the prime factors of g.
31
Let f = -5 + 7. Suppose f*p - 15 = -3*p. List the prime factors of p.
3
Let q(v) = v**3 + 9*v**2 - v + 11. What are the prime factors of q(-9)?
2, 5
Suppose -9 = 4*c - 41. What are the prime factors of 2 + (c - 1 - -2)?
11
Suppose 15 = 3*k, -4*n - 5*k = -0*n - 85. Suppose -r = -4*r + n. List the prime factors of r.
5
Let x = 35 + -25. What are the prime factors of x?
2, 5
Let d be 2 + 15/(3 + -6). What are the prime factors of (-28)/d*(-3)/(-2)?
2, 7
Let a(z) = -z**2 - 14*z + 8. List the prime factors of a(-11).
41
Let b = 3 - 1. Let m be (7 + -6)/(b/(-6)). What are the prime factors of (-40)/m + (-2)/6?
13
Let r = -4 + -2. Let m(l) = 4*l - 3*l + l**3 - 6*l + 1 + 6*l**2 + 3*l. What are the prime factors of m(r)?
13
What are the prime factors of -7 + 7 - (2 + -72)?
2, 5, 7
Let w be (-7 - -89) + 1 + 1. Suppose -14*u - w = -17*u. What are the prime factors of u?
2, 7
Suppose -5*m = -3*m - 12. What are the prime factors of ((-423)/27)/((-2)/m)?
47
Suppose 0 = -a + 26. Suppose -5 = -h + 32. Let r = h - a. List the prime factors of r.
11
List the prime factors of (-3020)/(-15) + 1/(-3)*4.
2, 5
Suppose -4*o + 3*o + 343 = -5*l, 0 = 4*o + 2*l - 1372. List the prime factors of (-1)/4 - o/(-28).
2, 3
Let q be 6/5*(-20)/(-8). Let w be 9/1 + 2/(-2). Suppose q*s = -s + w. List the prime factors of s.
2
Let n(r) = -24*r + 37. What are the prime factors of n(-6)?
181
Let z be 2/(-8) - (-65)/20. Suppose 3*k + p + 1 = 2*k, 0 = z*k - 5*p + 35. Let s = k - -10. What are the prime factors of s?
5
What are the prime factors of 0*(5 + -4) - -68?
2, 17
Let i be -2 - -4 - (2 - 48). Let o = i + -21. List the prime factors of o.
3
Let q be 2/(-1)*50/4. Let h = q - -41. What are the prime factors of h?
2
Let y(a) = -a**3 - 3*a**2 - 3*a + 3. List the prime factors of y(-4).
31
Suppose 6 = p + 4*i, 4*p + 4*i - 2*i - 24 = 0. List the prime factors of p.
2, 3
Let j = -6 - -12. List the prime factors of 1/j + (-339)/(-18).
19
Let n = -70 + 119. Suppose 5*r - n = 66. Let k = r + -13. What are the prime factors of k?
2, 5
Suppose i = 4*w + 20, -66 = -4*i - 4*w + 14. List the prime factors of i.
2, 5
Suppose 0 = 4*w - w - 5*v - 25, 3*w - 3*v = 21. Suppose 2*s + w*g = 34, -2*s = 3*g - 0*g - 30. What are the prime factors of s?
2, 3
Let x = 4 - 1. Suppose -42 = w - x*w. What are the prime factors of w?
3, 7
Let r(j) = 2*j + j - 3 + j**2 + 0*j. Let b be r(-4). Let u(g) = 8*g**2. List the prime factors of u(b).
2
Suppose 5*d = 26 + 29. What are the prime factors of d?
11
Let r(m) be the third derivative of -m**6/120 + 3*m**5/20 + m**4/3 - 7*m**3/2 - 3*m**2. What are the prime factors of r(9)?
3, 17
Suppose 0 = -3*p + r +
|
{
"pile_set_name": "DM Mathematics"
}
|
3 + 540*j**2
Expand -32*q**4 - 2*q**3 - 754*q - 1 + 754*q + (12*q**3 - 54*q**3 - 10*q**3)*(-3*q - 3*q + 4*q).
72*q**4 - 2*q**3 - 1
Expand (-73*h**2 + 116*h**2 + 221*h**2)*(-4*h + h + h) - 2*h**3 + 3*h**3 - 2*h**3 + (-h - 4*h + 3*h)*(-h**2 + h**2 - h**2).
-527*h**3
Expand (v**2 - 21355*v + 24144802 - 24144802)*(3*v**2 + 0*v**2 - 5*v**2).
-2*v**4 + 42710*v**3
Expand (-44*t + 11*t - 16*t)*(0*t**3 - 3*t**3 + 2*t**3) + 15*t - 15*t - 2*t**4.
47*t**4
Expand (25 - 10 + 3*k - 10)*(-2 + 0 - 36*k + 88*k + 3*k - 3*k + k + 0 + 0 - k + k - 3*k + 3*k - 4*k + 2*k + 0*k + (-3*k + 0*k + 5*k)*(2 + 2 - 2) + 3 - 3 - k).
162*k**2 + 264*k - 10
Expand (23112 + 4 - 12230)*(-2*b + 2*b + b**2).
10886*b**2
Expand (-3 + 3 - 25 + (-4 + 0 + 1)*(-3 + 0 + 1))*(-1 - r**2 + 1).
19*r**2
Expand -20539*o - 330 - 2*o**2 + 20539*o + (-2*o - 1 + 1)*(2*o + o - 5*o).
2*o**2 - 330
Expand (-30*x + 45*x + 577 - 16*x)*(-2*x + 0 + 0).
2*x**2 - 1154*x
Expand -83 + 135*d + 83 + 5*d + (-4 + 2 + 0)*(-d - 3*d + 6*d).
136*d
Expand 24380656*d - 24380656*d + 210*d**5 - 15 + (-3*d - 2*d**4 + 3*d)*(2*d + 0*d - 4*d) - 2*d**3 + 2*d**3 + 2*d**5.
216*d**5 - 15
Expand -5*s**3 + 3*s**3 + 4*s**3 + (-28*s + 12*s + 21*s)*(-211*s + 211*s + 275*s**2) - 3*s**3 + 9*s**3 - 2*s**3.
1381*s**3
Expand (899*z + 808*z - 261*z)*(-4 + 4 + 2*z + 5 - 5 - z + (2*z + 0*z - z)*(-3 + 2 + 2) - 2*z + 5*z - z).
5784*z**2
Expand (-2*r + 3*r - 3*r)*(-4 + 4 + 11*r)*(20 + 118 + 66).
-4488*r**2
Expand (-8*a + 17*a - 12*a - 40)*(-2 + 19 - 1).
-48*a - 640
Expand (-8 - 12*a**2 + 4 + 3*a**2)*(23*a**3 - 14*a**3 - 2*a**3).
-63*a**5 - 28*a**3
Expand (2 - 72*t**3 + 4884*t**2 - 2*t - 4884*t**2)*(0 - 2 + 8)*(4*t + 7*t - 4*t).
-3024*t**4 - 84*t**2 + 84*t
Expand (5779*z + 22*z + 2041*z + 1442*z)*(-6*z**2 + 3*z**2 + z**2).
-18568*z**3
Expand 0*i**3 + 4*i**3 - 5*i**3 + 11*i**3 + 5*i**3 - 2*i**3 + (3*i - 3*i - 2*i**3)*(1 - 2 - 1) - 3*i**3 + 4*i**3 - 3*i**3 - 2*i**3 + i**3 + 9*i**3.
23*i**3
Expand ((-7*z - 9*z + z)*((z - 2*z + 2*z)*(-1 - 1 - 1) + 3 - 3 - 2*z) + 5*z**2 + z**2 + 9*z**2)*(4*z - 2*z - 3*z).
-90*z**3
Expand (-19967 + 14592 - 26690 - 15214)*(-2 + k**3 + 0*k**3 + 3).
-47279*k**3 - 47279
Expand (10*c + 4*c**2 + 0*c**2 - 5*c**2)*(-53 + 54 + 16*c - 76*c).
60*c**3 - 601*c**2 + 10*c
Expand 4*t - 3*t + t + 4 - t - 4 + (4 + 1 - 3)*(-t + 2*t - 2*t) + 2*t - t + 11*t + 2*t + 3 - 3 + (0 + 0 - 5*t)*(-2 + 0 - 1).
28*t
Expand (4735*u - 2233*u - 2260*u)*(-2*u + u**2 + 2*u) - 2*u**3 + 9*u**3 + u**3.
250*u**3
Expand (-q + 3*q - 3*q)*(-22*q - 5646 + 5643 + 127*q).
-105*q**2 + 3*q
Expand -2*l**4 + 0*l**4 + 3*l**4 + (-5*l**2 + l**2 + 2*l**2)*(-l**2 + 2 - 2) + 2*l**2 - 2*l**2 - 2*l**4 + (-4*l + 7*l + 0*l**3 + 2*l**3)*(-264*l + 5*l - 111*l).
-739*l**4 - 1110*l**2
Expand (0 - 4 + 2)*(4442 - 8864 - 165*d + 4431).
330*d - 18
Expand (2*n**3 - 2*n**3 - 18*n**4)*(-8 + 49*n - 228*n + 9) + (1 - n - 1)*(1 - 1 - 2*n**4).
3224*n**5 - 18*n**4
Expand (95 - 95 - 6*q)*(-q**3 - 2*q + 2*q) + 84*q**4 - 5*q**4 - 4*q**4.
81*q**4
Expand (-16*f**3 - 9*f**3 + 7*f**3)*(236*f - 233*f + 202*f).
-3690*f**4
Expand g - 7*g**2 - 94*g**2 - 59*g**2 - 2*g**2 + g**2 + 2*g**2 + (13*g - 5*g + g)*(2*g - 2*g + 2*g).
-141*g**2 + g
Expand (4*r + r - 3*r)*(-2*r**3 - 3*r**3 + 2*r**3 - 5) - 305*r**4 - 172*r**4 + 32*r**4.
-451*r**4 - 10*r
Expand (-h - 755 + 755)*(-128 - 79 + 23) - 4*h + 0 + 5*h + 1.
185*h + 1
Expand (-10*n + n - 9*n)*(3*n**3 - 3*n**3 + n**3 - 87*n**3 + 86*n**3 - 15 - 5*n**2 + 3*n**2 + (n + n - 4*n)*(1 - n**2 - 1)).
-36*n**4 + 36*n**3 + 270*n
Expand (-5 - 4 + 43)*(-2 - 3 - 1)*(-2*r - 2*r - 3*r).
1428*r
Expand (a**4 - 6*a**4 + a**4)*(-5 + 8 + 4)*(-7*a + 9*a + 29*a).
-
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) 2 (c) -0.1
c
Which is the closest to 8? (a) -34427 (b) 0.02 (c) 0.4
c
Which is the closest to -0.4? (a) -4/3 (b) -1/23 (c) -82 (d) -0.0005 (e) -5
b
What is the closest to -1/3 in 1185, -1, 1/9?
1/9
What is the closest to -3/79 in 3, 0.16, 140/9?
0.16
Which is the nearest to -2/31? (a) -3/83 (b) -2/9 (c) 3 (d) -1.8 (e) -26/3
a
What is the closest to 7174 in -30, 0.2, 2?
2
What is the closest to -2 in -1/3, 5, -698479?
-1/3
Which is the closest to -1? (a) 3 (b) 43348/19 (c) -1 (d) 2
c
Which is the nearest to 1702? (a) 5 (b) 0 (c) 0.08 (d) -5 (e) 42
e
What is the nearest to -31894 in 0.4, -5.3, 0.2?
-5.3
What is the closest to -0.1 in -0.3187841, -1, -2?
-0.3187841
What is the nearest to -12/7 in -12.257, 1, -10, -0.2, -3?
-3
Which is the closest to 3.3? (a) 91 (b) 0 (c) 5 (d) -2/29
c
What is the closest to -2 in -3.9, 4, -2/9, 211, -4?
-2/9
Which is the closest to -2/11? (a) -1/8 (b) -0.06 (c) -11 (d) -4 (e) -16/67
a
What is the nearest to -0.14 in 0.3, 2/461, 7, 0, 29, 6?
0
Which is the nearest to -1? (a) 0.24 (b) -1.2 (c) 1/5 (d) 3 (e) -11
b
What is the nearest to -1 in -2, 218.22, 0.4, -4, 3?
-2
Which is the closest to 0.329? (a) 11 (b) 9/26 (c) -0.1
b
What is the nearest to -1382 in -2/7, 5/8, -193?
-193
What is the closest to 2/7 in -2, -1/2, 163, -9/10, -1/55?
-1/55
What is the closest to 0.07 in -6/5, -2961/8, 5, -3/7, 17?
-3/7
What is the closest to 2 in -174.14, -12/13, -13, -0.5, -5?
-0.5
Which is the closest to 2? (a) -4 (b) 3 (c) -0.1 (d) -1/7 (e) 5/4 (f) -159
e
Which is the closest to 101? (a) -0.22 (b) -26 (c) 0.1 (d) -3 (e) 5 (f) -0.11
e
Which is the nearest to -0.02? (a) 0 (b) 52409 (c) -3
a
What is the nearest to -212 in -0.05038, -6/5, -0.4, 2/5?
-6/5
Which is the closest to -2? (a) 0 (b) -5/2 (c) -5 (d) -159 (e) -0.2 (f) -102
b
What is the closest to -16 in -4, -4.6, -0.6, -1?
-4.6
What is the closest to -5514 in 11, 0.3, 3, -9?
-9
What is the closest to 4454 in 0.93, -1, 3/7, 0.4, 0, -3?
0.93
What is the closest to -2 in -0.21, 2/7, -5, 0.5, 981, 0.1?
-0.21
What is the closest to -8624 in -9, 19.1, 2/5?
-9
Which is the closest to 1/4? (a) -2/125 (b) -1/5 (c) -403.9 (d) 1
a
What is the closest to -16096 in 5, 6, 3, -5, -0.41?
-5
Which is the closest to -13? (a) -1/2 (b) -20 (c) -5 (d) -0.7
b
What is the closest to -1/4 in -5350, -3/2, -3/8, -2/9?
-2/9
What is the nearest to 0.035 in 3, -3, 0.1, 124, -1/2, -5?
0.1
Which is the nearest to -8/7? (a) 4/3 (b) 16 (c) 3/4 (d) -7/3 (e) -27
d
What is the nearest to -11 in -7, 2/9, -40, -2?
-7
What is the closest to -0.1791 in -0.5, -2/11, 3.32?
-2/11
What is the nearest to 17 in 0.2, -0.17, 4, 1/14, -1?
4
Which is the nearest to 0.1? (a) -5 (b) 180 (c) -52 (d) -1.7 (e) 2/3
e
Which is the nearest to 25? (a) 5861 (b) 5 (c) -5
b
What is the nearest to 0.2 in -5, 1318/9, -4, 0, -210?
0
What is the closest to -27545 in -4, 2/113, -4/9?
-4
Which is the closest to 1/6? (a) 7 (b) 0 (c) -1/6 (d) -179
b
Which is the closest to 21? (a) -0.3 (b) 0 (c) 3 (d) 4062
c
What is the nearest to -0.2 in 3/7, 0.02359, 1.7?
0.02359
What is the nearest to -23067 in -4, 1, 3, -2/19, -12?
-12
What is the closest to 849/5 in 2, 1, -25?
2
What is the nearest to 3 in -3, -79296, -2/17?
-2/17
Which is the closest to 0? (a) 3476 (b) 0.3 (c) 4.87
b
What is the nearest to -1 in -4, -477.38, 48?
-4
What is the nearest to 0.2 in 0.06, -0.5, -16, -17691?
0.06
Which is the closest to 1? (a) 2/3693 (b) 2/3 (c) 12/7 (d) -2/7
b
Which is the closest to 5? (a) -3 (b) -0.322 (c) -5/2
b
What is the closest to -2/311 in -2/15, -153, 4, 0.5?
-2/15
What is the nearest to 16206 in 33, -15, 3?
33
Which is the nearest to 2? (a) 6 (b) 0.2 (c) 1/1668136
b
What is the closest to 1 in 0.3, -1.73, -300/13, -4, -3?
0.3
What is the closest to -0.1 in 6273, -0.36, 3, -19?
-0.36
Which is the nearest to 2/7
|
{
"pile_set_name": "DM Mathematics"
}
|
)*5 + (sqrt(192) - (5*sqrt(192) + sqrt(192)))*2).
-20 + 40*sqrt(3)
Simplify -4*(sqrt(22) + sqrt(22) + ((sqrt(22) - sqrt(550)) + sqrt(22))*5)/(sqrt(1100) + sqrt(1100) + sqrt(1100)*2).
13*sqrt(2)/10
Simplify (-3 + (-4*(sqrt(320)*-1 + 5))**2)*-6.
-33102 + 7680*sqrt(5)
Simplify 2 + sqrt(13) + sqrt(208) + sqrt(208) + 3 + sqrt(208) + 4 + ((sqrt(117) + sqrt(117) + 3 + sqrt(117) - sqrt(117))**2 - sqrt(117)).
46*sqrt(13) + 486
Simplify ((1*sqrt(539)*5 - sqrt(539)) + 3 - ((sqrt(539)*-1 + -2 + sqrt(539))**2 + 5*(sqrt(539)*-1 - sqrt(539)))) + -1.
-2 + 98*sqrt(11)
Simplify (sqrt(140)/(2*(2*sqrt(7) - sqrt(7)) - sqrt(7)))/((sqrt(96)*-1)/sqrt(6)).
-sqrt(5)/2
Simplify (sqrt(336)/(4*sqrt(24)))/(sqrt(48)/(sqrt(6) + -6*(sqrt(24)/sqrt(4) - sqrt(6))))*3.
3*sqrt(7)/8
Simplify ((-1*sqrt(102)*2 + sqrt(102))*6)/(sqrt(384)*2 - sqrt(384) - (sqrt(84)/sqrt(2))/sqrt(7)).
-6*sqrt(17)/7
Simplify ((3 + sqrt(832)*-1 + -1)*5*3)**2.
-7200*sqrt(13) + 188100
Simplify ((2*(sqrt(66)*2 + sqrt(66) + sqrt(66)))/(sqrt(384)*2 + sqrt(384)))**2*6.
22/3
Simplify (0 + ((sqrt(704) + -1*sqrt(704)*1)*-1)**2)*5.
0
Simplify ((2*sqrt(1872)*-2 + sqrt(1872) + sqrt(1872))*-3)**2 - ((sqrt(65)*-1 - sqrt(65))*-1)/(sqrt(180)*-2 - sqrt(180)).
sqrt(13)/9 + 67392
Simplify ((2*sqrt(245) + 3 + (sqrt(245) - (-1 + sqrt(245) + 3 - sqrt(245))))*5)**2.
1050*sqrt(5) + 55150
Simplify -6*5*(sqrt(384)/((sqrt(800)*-2 - sqrt(800)) + sqrt(800)) + -4)**2.
-2418/5 - 48*sqrt(3)
Simplify (((sqrt(96) - (-6*(sqrt(96) + (sqrt(96)*2 - sqrt(96))) - sqrt(96)))/sqrt(8))/((sqrt(96) - (sqrt(96) + 2*sqrt(96)))*-3 + sqrt(96) - sqrt(96)))**2.
49/72
Simplify -4*((-3*sqrt(5040))/sqrt(7) - ((sqrt(90)*1)/sqrt(6))/sqrt(3)).
148*sqrt(5)
Simplify 2*((1*sqrt(171) + sqrt(171))/sqrt(3))/(-1*(sqrt(48) + sqrt(3))).
-4*sqrt(19)/5
Simplify -4 + 4*(-6*((sqrt(85)*6 - sqrt(85)) + sqrt(85))/sqrt(5) + 4).
-144*sqrt(17) + 12
Simplify (((sqrt(360)*1)/sqrt(6))/(-1*sqrt(432) + sqrt(432) + sqrt(432))*-4 + -2)**2.
8*sqrt(5)/3 + 56/9
Simplify (sqrt(539) + 0)**2 + (sqrt(132)/(sqrt(12)*-1))**2 + sqrt(264)/sqrt(24).
sqrt(11) + 550
Simplify (4*sqrt(170)*-6)/(sqrt(360)*4 - sqrt(10)).
-24*sqrt(17)/23
Simplify (3 + -3 + sqrt(10)/sqrt(5))**2 + sqrt(4)/(sqrt(18)/(-3*sqrt(9)) + sqrt(2)).
2 + 3*sqrt(2)/2
Simplify -3*(-1 + sqrt(7)) - sqrt(189)/sqrt(3) - ((sqrt(315)/sqrt(5))/sqrt(9) + -3).
-7*sqrt(7) + 6
Simplify -1 + (sqrt(11) - (sqrt(77)/sqrt(7) - sqrt(11))**2*-3 - 2*sqrt(99))*2 + 0.
-10*sqrt(11) - 1
Simplify 5 + (-2*sqrt(1053))**2 + (-3*sqrt(26)/sqrt(2))**2 + 4 + -1*(sqrt(13) - sqrt(52)).
sqrt(13) + 4338
Simplify (((sqrt(143)/(1*sqrt(11)) - (sqrt(13) + 4*sqrt(39)/sqrt(3))) + -5)*6)**2.
1440*sqrt(13) + 8388
Simplify (3 + ((sqrt(832)*2 + sqrt(832))*-4 - sqrt(832)) + -6*(sqrt(832) + sqrt(832) + 4))**2.
8400*sqrt(13) + 520441
Simplify 5 + 2*(sqrt(27) + sqrt(27)*1)*-5*-3.
5 + 180*sqrt(3)
Simplify (sqrt(104)*-1*-5 - -3*(1*sqrt(104) + sqrt(104)))/(-6*(sqrt(8) + sqrt(32)/sqrt(4))*-1).
11*sqrt(13)/12
Simplify 1 + (3*(sqrt(168) + sqrt(168) + sqrt(168) + (sqrt(168)*-1 - sqrt(168) - sqrt(168)) + sqrt(168)))/(sqrt(294)*-2).
-3*sqrt(7)/7 + 1
Simplify 2*(sqrt(1900) - ((sqrt(1900)*-1)**2*6 + sqrt(1900)) - ((sqrt(1900)*1)**2 + 1) - (-3 + -4*(-1*sqrt(1900) - sqrt(1900)))).
-26596 - 160*sqrt(19)
Simplify (sqrt(1008) + -3*sqrt(1008) + 5)**2*1 + 5 + (-1 + sqrt(1008) + sqrt(1008))*-2.
-288*sqrt(7) + 4064
Simplify (sqrt(588)/(-2*sqrt(12)))/((2*sqrt(70))/sqrt(10)) + (-1*(0 + sqrt(700))*1)**2.
-sqrt(7)/4 + 700
Simplify (sqrt(784)*1 + sqrt(49) + (2*sqrt(539))/sqrt(11))/(sqrt(252)*-1 - (((sqrt(21) - sqrt(42)/sqrt(2)) + sqrt(21))/sqrt(3) - sqrt(7))).
-7*sqrt(7)/6
Simplify 2 + sqrt(180) + -2 + -4 + (-4 + (sqrt(80)/(sqrt(32) - sqrt(8)))/sqrt(2))**2.
-2*sqrt(5) + 17
Simplify -2 + 6*(1 + ((sqrt(1008)*1)**2 - sqrt(1008)) + (sqrt(1008) + 4*1*sqrt(1008) - sqrt(1008))).
216*sqrt(7) + 6052
Simplify -4*(sqrt(112) + -1) - (1*sqrt(28)*-1 + (sqrt(112) - sqrt(112)*-1)).
-22*sqrt(7) + 4
Simplify ((sqrt(170) + sqrt(170)*3)*-5)/(-1*sqrt(810) - sqrt(810)).
10*sqrt(17)/9
Simplify (2*1*sqrt(42)*-5)/((sqrt(144) - sqrt(144)*-2)/sqrt(6) - sqrt(24)).
-5*sqrt(7)/2
Simplify ((sqrt(325) - 1*(-1 + sqrt(325))) + -1 + sqrt(325)*-1 + -4 + 2)**2.
20*sqrt(13) + 329
Simplify -6*((sqrt(1700) - (5*(1*sqrt(1700) + sqrt(1700)) + sqrt(1700))) + 0)*4.
2400*sqrt(17)
Simplify (sqrt(153) + (sqrt(153) - (-1 + sqrt(153) + -5) - sqrt(153)) + sqrt(153) + sqrt(153) + (sqrt(153) - -2*sqrt(153)) + -2 + 4)**2.
240*sqrt(17) + 3889
Simplify (sqrt(156)/(6*(sqrt(4) - sqrt(100))))/(sqrt(9)/(sqrt(3)*-1*2)).
sqrt(13)/12
Simplify ((sqrt(208))**2*6 -
|
{
"pile_set_name": "DM Mathematics"
}
|
f 5735?
5
What is the tens digit of 321?
2
What is the tens digit of 3665?
6
What is the thousands digit of 13219?
3
What is the tens digit of 6881?
8
What is the hundreds digit of 2038?
0
What is the units digit of 4885?
5
What is the units digit of 76575?
5
What is the hundreds digit of 44916?
9
What is the thousands digit of 91098?
1
What is the thousands digit of 31818?
1
What is the units digit of 8557?
7
What is the thousands digit of 65985?
5
What is the thousands digit of 9944?
9
What is the hundreds digit of 1806?
8
What is the thousands digit of 2371?
2
What is the units digit of 35243?
3
What is the hundreds digit of 20803?
8
What is the tens digit of 15328?
2
What is the units digit of 1195?
5
What is the hundreds digit of 8565?
5
What is the tens digit of 2350?
5
What is the hundreds digit of 1009?
0
What is the hundreds digit of 6489?
4
What is the hundreds digit of 4925?
9
What is the thousands digit of 2837?
2
What is the hundreds digit of 1517?
5
What is the hundreds digit of 3292?
2
What is the tens digit of 2645?
4
What is the units digit of 46382?
2
What is the tens digit of 1845?
4
What is the hundreds digit of 1675?
6
What is the ten thousands digit of 12383?
1
What is the units digit of 22970?
0
What is the tens digit of 31316?
1
What is the tens digit of 1772?
7
What is the ten thousands digit of 20274?
2
What is the thousands digit of 69303?
9
What is the hundreds digit of 291?
2
What is the hundreds digit of 18591?
5
What is the hundreds digit of 115555?
5
What is the units digit of 175?
5
What is the thousands digit of 35219?
5
What is the units digit of 39?
9
What is the hundreds digit of 4645?
6
What is the tens digit of 854?
5
What is the thousands digit of 76039?
6
What is the thousands digit of 6216?
6
What is the hundreds digit of 63903?
9
What is the units digit of 30185?
5
What is the units digit of 1793?
3
What is the tens digit of 814?
1
What is the units digit of 29771?
1
What is the units digit of 3264?
4
What is the thousands digit of 69630?
9
What is the tens digit of 974?
7
What is the thousands digit of 55546?
5
What is the thousands digit of 3396?
3
What is the units digit of 683?
3
What is the thousands digit of 11448?
1
What is the units digit of 6433?
3
What is the tens digit of 618?
1
What is the units digit of 3990?
0
What is the tens digit of 225?
2
What is the hundreds digit of 24182?
1
What is the hundred thousands digit of 113280?
1
What is the thousands digit of 4143?
4
What is the tens digit of 6475?
7
What is the hundreds digit of 11949?
9
What is the thousands digit of 3852?
3
What is the tens digit of 2066?
6
What is the tens digit of 1311?
1
What is the units digit of 346?
6
What is the thousands digit of 34466?
4
What is the thousands digit of 5739?
5
What is the hundreds digit of 894?
8
What is the units digit of 19295?
5
What is the tens digit of 4331?
3
What is the hundreds digit of 18231?
2
What is the tens digit of 6657?
5
What is the tens digit of 4452?
5
What is the tens digit of 2352?
5
What is the hundreds digit of 1242?
2
What is the units digit of 1138?
8
What is the ten thousands digit of 15152?
1
What is the units digit of 669?
9
What is the units digit of 1073?
3
What is the hundreds digit of 13928?
9
What is the tens digit of 2875?
7
What is the tens digit of 35311?
1
What is the ten thousands digit of 14540?
1
What is the hundreds digit of 5718?
7
What is the units digit of 85437?
7
What is the hundreds digit of 7516?
5
What is the hundreds digit of 2042?
0
What is the tens digit of 46812?
1
What is the hundreds digit of 25919?
9
What is the units digit of 13721?
1
What is the hundreds digit of 518?
5
What is the tens digit of 16360?
6
What is the units digit of 82?
2
What is the units digit of 25993?
3
What is the thousands digit of 3937?
3
What is the units digit of 2290?
0
What is the units digit of 1919?
9
What is the thousands digit of 85283?
5
What is the ten thousands digit of 81561?
8
What is the units digit of 884?
4
What is the hundreds digit of 50431?
4
What is the tens digit of 28266?
6
What is the thousands digit of 71429?
1
What is the units digit of 25128?
8
What is the tens digit of 192?
9
What is the units digit of 13176?
6
What is the hundreds digit of 2059?
0
What is the hundreds digit of 9174?
1
What is the tens digit of 3969?
6
What is the thousands digit of 36833?
6
What is the units digit of 530?
0
What is the thousands digit of 1578?
1
What is the units digit of 971?
1
What is the hundreds digit of 32359?
3
What is the tens digit of 1690?
9
What is the tens digit of 143?
4
What is the hundreds digit of 2695?
6
What is the ten thousands digit of 33210?
3
What is the tens digit of 10290?
9
What is the hundreds digit of 6090?
0
What is the units digit of 2758?
8
What is the thousands digit of 1903?
1
What is the units digit of 21670?
0
What is the tens digit of 11267?
6
What is the hundreds digit of 33658?
6
What is the tens digit of 1110?
1
What is the units digit of 394?
4
What is the units digit of 4571?
1
What is the hundreds digit of 899?
8
What is the ten thousands digit of 33846?
3
What is the units digit of 566?
6
What is the tens digit of 858?
5
What is the tens digit of 816?
1
What is the hundreds digit of 75491?
4
What is the units digit of 2550?
0
What is the tens digit of 691?
9
What is the tens digit of 38608?
0
What is the thousands digit of 9361?
9
What is the ten thousands digit of 15314?
1
What is the hundreds digit of 21725?
7
What is the thousands digit of 4432?
4
What is the units digit of 1707?
7
What is the tens digit of 152082?
8
What is the units digit of 17835?
5
What is the units digit of 21?
1
What is the ten thousands digit of 77471?
7
What is the thousands digit of 8374?
8
What is the units digit of 386?
6
What is the tens digit of 6549?
4
What is the tens digit of 9502?
0
What is the tens digit of 25141?
4
What is the tens digit of 7844?
4
What is the hundreds digit of 106780?
7
What is the thousands digit of 68795?
8
What is the hundreds digit of 44463?
4
What is the thousands digit of 3926?
3
What is the units digit of 408?
8
What is the hundreds digit of 949?
9
What is the thousands digit of 23712?
3
What is the hundreds digit of 25764?
7
What is the units digit of 65?
5
What is the ten thousands digit of 21344?
2
What is the units digit of 3284?
|
{
"pile_set_name": "DM Mathematics"
}
|
of h**4/8 + 7*h**3/6 + 3*h**2. Let k(m) = 6*j(m) - t(m). Differentiate k(p) with respect to p.
3
Let r be (4/(-1))/(4/(-2)). Let t be (-1*1)/(r/(-2)). Find the second derivative of -t + 1 - a - 3*a**3 wrt a.
-18*a
Let c(g) = -g + 10. Suppose -82 = -5*u - 3*w - 30, -3*w = -5*u + 28. Let v be c(u). What is the third derivative of -3*z**4 - 2*z**4 + 6*z**4 - z**v wrt z?
24*z
Let n be (-26)/(-10) + 8/20. Find the first derivative of 1 + 3 - 8*q**n - 2 wrt q.
-24*q**2
Let b(w) be the second derivative of -w**6/15 + 7*w**3/6 + 9*w. What is the second derivative of b(s) wrt s?
-24*s**2
Let j = 147 - 143. Let v(i) be the first derivative of i**3 + 0*i**2 - 1/5*i**5 + 1 + 0*i + 0*i**j. Find the third derivative of v(o) wrt o.
-24*o
What is the third derivative of -9*w**2 + 0*w**4 - 2*w**2 - 4*w**2 - 6*w**4 wrt w?
-144*w
Let z(j) = 6*j**4 + j**3 - 3*j**2 + j - 1. Let r(c) = c**4 + c**3 + c**2 + c - 1. Let l(b) = r(b) - z(b). What is the third derivative of l(p) wrt p?
-120*p
What is the second derivative of 6*i + 4*i**5 - 13*i**5 + i**5 wrt i?
-160*i**3
Let x(g) = -26*g**3 + 104*g. Let q(j) = -9*j**3 + 35*j. Let s(o) = 16*q(o) - 5*x(o). What is the second derivative of s(u) wrt u?
-84*u
Let a(x) = x**4 + x**3 + x**2 - x + 1. Let h(s) = -5*s**4 - s**3 - s**2 - 1. Let f(z) = -a(z) - h(z). Find the second derivative of f(w) wrt w.
48*w**2
What is the third derivative of 21*n**2 + 9*n**4 + 9*n**4 - 22*n**4 wrt n?
-96*n
Let k be 2 - 4/8*-2. Let d(q) be the first derivative of 0*q**2 + 0*q + 1/2*q**4 - q**k - 2. Find the third derivative of d(h) wrt h.
12
Let k(d) be the first derivative of 23*d**4/4 - 6*d**3 - 24. What is the third derivative of k(i) wrt i?
138
Let z(j) be the third derivative of 7*j**6/15 + 31*j**5/60 + 2*j**2 + 6. What is the third derivative of z(i) wrt i?
336
Let d(z) = z - 1. Let n be d(3). Differentiate -8 + i**n - i**4 - 6*i**4 - i**2 with respect to i.
-28*i**3
Let h(g) be the second derivative of g**3/6 - 7*g**2/2 + 8*g. Find the first derivative of h(f) wrt f.
1
Let s(i) = 4*i**2 - 3. Let f(j) = -j - 2. Let g be f(0). Let b(v) = v**2 - v - 1. Let t(l) = g*s(l) + 6*b(l). What is the second derivative of t(m) wrt m?
-4
Let z(t) = -11*t**3 - 3*t**2 + 22*t - 3. Let b(m) = 21*m**3 + 5*m**2 - 43*m + 5. Let r(f) = 3*b(f) + 5*z(f). What is the second derivative of r(o) wrt o?
48*o
Suppose 0 = 5*w - 5*k + 30, -2 + 26 = -4*w + k. Let f = 12 + w. What is the third derivative of -2*d**f + 0*d**6 - 2*d**2 + d**2 wrt d?
-240*d**3
Let w(x) be the first derivative of -x**6/24 - x**5/12 + x**2 - 5. Let a(p) be the second derivative of w(p). What is the third derivative of a(g) wrt g?
-30
Suppose i - 8 = -3*i. What is the second derivative of -4*a + i*a + 4*a**5 - a wrt a?
80*a**3
Let y = 8 + -14. Let c = 10 + y. Differentiate -1 + o**3 + c - 1 wrt o.
3*o**2
Let y(f) = f**3 - 3*f**2 + 2*f - 1. Let p be y(3). Let m be p + 2/(-2 - 0). Differentiate -1 + 4*o**4 + o**m - 2*o**4 with respect to o.
12*o**3
Let d(h) = -67*h**2 - 9. Let j(m) = -67*m**2 - 9. Let w(f) = 4*d(f) - 5*j(f). Differentiate w(q) with respect to q.
134*q
Let f(x) = 1 - 2*x**2 + 3*x**2 + 0. Let z(c) = 4*c**2 + 8. Let t(s) = -5*f(s) + z(s). What is the derivative of t(u) wrt u?
-2*u
Let o be 2/12 + (-34)/(-12). Differentiate 3*b**o + 3 + 20*b - 20*b with respect to b.
9*b**2
Let q(o) be the second derivative of -o**7/3 - 14*o**3/3 - 36*o. Find the second derivative of q(s) wrt s.
-280*s**3
Let u(w) be the first derivative of -12*w**5 + w + 21. Differentiate u(x) with respect to x.
-240*x**3
Let q(y) = 6*y**2 - 7. Let c(l) = -l**2 - 1. Let a(x) = -c(x) + q(x). Find the first derivative of a(n) wrt n.
14*n
Let n(a) = a**4 - 1. Let o be (-3)/1*(-20)/(-12). Let j(w) = 3*w**5 + 5*w**4 + 3*w - 5. Let g(h) = o*n(h) + j(h). Find the second derivative of g(u) wrt u.
60*u**3
Suppose 1 + 2 = f. Find the second derivative of 3*p + p**3 - p**f - 3*p**3 wrt p.
-18*p
Let g(f) be the third derivative of 8*f**7/105 - 3*f**3/2 - 5*f**2. Differentiate g(t) wrt t.
64*t**3
Find the third derivative of -11*g**2 + 0*g**2 - 2*g**4 - 7*g**4 wrt g.
-216*g
Let m(s) be the third derivative of 31*s**6/120 + 11*s**4/12 - 41*s**2. Find the second derivative of m(x) wrt x.
186*x
Let b(q) be the second derivative of -1/6*q**6 + 4*q + 0 + 0*q**2 + 1/6*q**3 + 0*q**5 + 0*q**4. What is the second derivative of b(s) wrt s?
-60*s**2
Let n(j) = 13*j**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
)
Simplify (d*d**(-3))/(d/d**(-13/3))*d**16/(d/(d*d*d/d**(3/16))) assuming d is positive.
d**(503/48)
Simplify (d*d**(2/5)/d)**(-49)*d*d**(9/5)/d*d*d*d**17 assuming d is positive.
d**(6/5)
Simplify (d*d**(-1/4))**(-2/31)*d**(-11)/((d/(d/(d/(d/(d*d*d**(-2/23)/d)))))/d) assuming d is positive.
d**(-15631/1426)
Simplify (u/(u*u**(-2/7)))**(3/10)*(u/(u*u/((u/(u/u**(-1/4)))/u)*u))/(u**(-2/29)/u) assuming u is positive.
u**(-8507/4060)
Simplify ((w/(w*w/w**(-1))*w)/(w*w**23))/(((w*(w*w**6*w)/w)/w)/(w**(-1/12)/w)) assuming w is positive.
w**(-397/12)
Simplify b**(3/8)*b/b**(12/11)*b**8/(b**(-8)/b) assuming b is positive.
b**(1521/88)
Simplify (r*r**5/r)/r**2*r**(-1/2)/(r**(-2/11)/r) assuming r is positive.
r**(81/22)
Simplify (j**(-6/7)*(j*j*j**(8/3))/j)/(j**(2/57)/(j/((j/((j**30/j)/j))/j))) assuming j is positive.
j**(4226/133)
Simplify (((y/(y/(y**(-2/11)/y)))/y)/y*y**31)**(17/4) assuming y is positive.
y**(2601/22)
Simplify ((l*l/l**(2/9)*l*l)/(l**(-10)/l))/(l**(-2)*l/(((l*l**(8/3))/l)/l)) assuming l is positive.
l**(157/9)
Simplify (d/d**(2/11))**(25/2)*d**(2/13)*d*d**8*d assuming d is positive.
d**(5829/286)
Simplify ((m/(((((m/((m*m**(-10)/m)/m))/m)/m)/m)/m))/m*m**(-5))/(m**(-2/11))**(3/22) assuming m is positive.
m**(-1570/121)
Simplify (d**(-9)/(d**(-32)*d*d))**(-2/49) assuming d is positive.
d**(-6/7)
Simplify (p**(-5)/((p**(-1/10)*p)/p)*(p**0*p)**(-14))**(2/33) assuming p is positive.
p**(-63/55)
Simplify (h**(-4)*h*(h/(h/(h**(1/3)*h*h*h)*h))/h)/((h*h**(-2)*h)/h)**(9/4) assuming h is positive.
h**(7/12)
Simplify ((q/q**(1/2)*q*q**(-6)*q)**(-43))**(-14/5) assuming q is positive.
q**(-2107/5)
Simplify (m**(-1/17)/(m/(m**(1/22)*m*m)))/((m/(m**(-27)*m*m))/m*m**(-13)) assuming m is positive.
m**(-4119/374)
Simplify (q*(q*q**(-1/8)*q)/q)**(-13)/((q*q*((q**(-8)*q)/q)/q)/q**(1/8)) assuming q is positive.
q**(-69/4)
Simplify ((f*f**(-7)/f)/f)**9*f**(-20)/f**(-16) assuming f is positive.
f**(-76)
Simplify ((y/y**(-7/5))/y**(-9))/(y**5/y**13) assuming y is positive.
y**(97/5)
Simplify (w*w*w**(-3))**39/(w**20*w**4) assuming w is positive.
w**(-63)
Simplify (b/b**(-32)*b*b/(b/b**(-2/65)))/(((b**(-10)*b)/b)/(b**(-32)/b)) assuming b is positive.
b**(713/65)
Simplify ((j*j**(4/3)*j*j)**(-9/11))**33 assuming j is positive.
j**(-117)
Simplify (k**(-8))**(-2/117)/((k*k**(-25))/k*k**(2/17)/k) assuming k is positive.
k**(51752/1989)
Simplify (c**(1/5))**35*(c/(c**(2/3)/c))**0 assuming c is positive.
c**7
Simplify (o**(-7)/(o**(-8/7)/o))/((o*o**(-1/9))/(o/(o*o**2))) assuming o is positive.
o**(-488/63)
Simplify r*r/((r*(r/(r*r/r**(-1/2)))/r*r)/r)*r*r*r**6*r**(-6)*r**12 assuming r is positive.
r**(35/2)
Simplify ((q/(q*q/q**4)*q)**38*(q/q**4)**(-45))**(1/2) assuming q is positive.
q**(287/2)
Simplify ((p**(1/18)/(p**(2/13)/p))/(p**(-8)/p*p*p*p**(2/13)))**(-32) assuming p is positive.
p**(-29008/117)
Simplify ((p/p**1)**(-33)*p/p**(-6)*p**(-1/10))**15 assuming p is positive.
p**(207/2)
Simplify (z/z**(-13)*z)/z*z**(-3/14)/z*(z**(-4))**(18/13) assuming z is positive.
z**(1319/182)
Simplify n**(-2/29)/n**(-5/7)*(n**4)**(-2/3) assuming n is positive.
n**(-1231/609)
Simplify (a/a**16)/a*a*a**(-1/9)*a**(2/29)/(a/((a/a**(3/13)*a*a)/a)) assuming a is positive.
a**(-48428/3393)
Simplify (j*j/(j/(j**(1/21)*j)))/j**(4/7)*(j**(2/9)*j)/(j/(j**(-25)*j)) assuming j is positive.
j**(-1405/63)
Simplify (l**(-3/23)*l)/((l*l*l*l**(-1/2))/l)*(l/l**(-7/2)*l)/l*l*l*l**17 assuming l is positive.
l**(526/23)
Simplify j**7*j**(-23)/j*j*j**19*j/(j/j**(-2/83)) assuming j is positive.
j**(247/83)
Simplify ((r**(4/23))**(-38))**8 assuming r is positive.
r**(-1216/23)
Simplify (q**34*q*q**(3/4))/(q**(-5/6)/q*q*q/(q**(-10/11)*q)*q*q) assuming q is positive.
q**(4445/132)
Simplify (s/(s*s*s**5)*s*s**(-4)/s)/((s/(s/(s**5*s*s))*s*s)/(s/(((s*s**6)/s)/s))) assuming s is positive.
s**(-23)
Simplify ((c**(16/7)*c*c)/(c*c*c*c*(c/c**(-13))/c*c))/(c**(-8)*c*(c*c**(1/14)*c)/c) assuming c is positive.
c**(-109/14)
Simplify (i/i**(-3/5))**44*i**(-2/5)*i*i*i**(-2/45)/i*i assuming i is positive.
i**(3238/45)
Simplify (c*c*c**(-4/11)*c*c*(c*c**31)/c)/(c**(-2/41)*(c/c**(-16))/c) assuming c is positive.
c**(8427/451)
Simplify (x/(x**(1/5)*x))**(-2/59)*(x*(((x/x**(2/5)*x*x)/x)/x)/x*x*x)/x*x/x**11 assuming x is positive.
x**(-2476/295)
Simplify ((w/w**(2/7))**19*(w**(-8)*w)/w**(-1/11))**(-46) assuming w is positive.
w**(-23598/77)
Simplify ((l**(-6)*l/(l**(-26)*l)*l)**(-1/19))**(7/8) assuming l is positive.
l**(-147/152)
Simplify (s
|
{
"pile_set_name": "DM Mathematics"
}
|
4908112?
True
Is 9303576 a multiple of 1584?
False
Is 869661280 a multiple of 562?
True
Does 14 divide 11994178?
True
Is 1084454735 a multiple of 893?
True
Is 10 a factor of 1298311370?
True
Is 110 a factor of 59201225?
False
Does 2895 divide 3304040340?
True
Is 355378 a multiple of 195?
False
Is 20 a factor of 47937280?
True
Does 1899 divide 132062157?
True
Is 85072256 a multiple of 128?
True
Is 8595521 a multiple of 287?
False
Does 541 divide 529737763?
False
Is 51 a factor of 663384132?
True
Does 4225 divide 431989350?
True
Is 685578502 a multiple of 5282?
False
Is 131 a factor of 307325586?
False
Is 37310227 a multiple of 34?
False
Is 3015000 a multiple of 1675?
True
Is 19 a factor of 368398124?
False
Does 887 divide 236215196?
True
Does 128 divide 1249944064?
True
Is 24581190 a multiple of 866?
False
Does 5997 divide 918902319?
True
Does 370 divide 241516390?
True
Is 1675 a factor of 20843700?
True
Is 14 a factor of 300260025?
False
Is 48 a factor of 1717294272?
True
Does 103 divide 103736553?
True
Does 540 divide 33038404?
False
Is 102 a factor of 24199296?
True
Is 41645787 a multiple of 182?
False
Is 29669476 a multiple of 134?
True
Is 19 a factor of 376491179?
False
Is 331764624 a multiple of 19?
True
Does 15 divide 711802518?
False
Is 378908412 a multiple of 186?
True
Is 30983904 a multiple of 2?
True
Does 12 divide 162471695?
False
Does 48 divide 547097610?
False
Is 17 a factor of 1072853?
True
Is 21 a factor of 325398917?
False
Is 16714 a factor of 759868582?
True
Is 12 a factor of 12267540?
True
Is 104 a factor of 233255646?
False
Does 18 divide 17385241?
False
Does 91 divide 2271978841?
False
Does 215 divide 8485190?
True
Does 465 divide 4236126?
False
Does 16 divide 414126931?
False
Is 966407548 a multiple of 9?
False
Is 114226328 a multiple of 41?
True
Is 97 a factor of 312719455?
False
Does 60 divide 42662421?
False
Is 3843747 a multiple of 261?
True
Does 16 divide 294148112?
True
Does 1163 divide 89142787?
True
Does 29 divide 68467695?
True
Does 42 divide 3005901444?
True
Does 16 divide 2147418368?
True
Is 643924 a multiple of 257?
False
Is 26 a factor of 165849600?
False
Is 136041836 a multiple of 49?
True
Does 6 divide 5167770?
True
Is 326 a factor of 1907042227?
False
Is 213710540 a multiple of 6388?
True
Is 48 a factor of 116354?
False
Does 4188 divide 1456297428?
True
Is 89115690 a multiple of 10?
True
Is 312261978 a multiple of 7?
True
Is 102551507 a multiple of 32?
False
Does 46 divide 150286218?
False
Is 186577834 a multiple of 3?
False
Does 1361 divide 41034422?
False
Is 121716660 a multiple of 860?
True
Is 22 a factor of 831253948?
False
Is 1002296550 a multiple of 8912?
False
Does 44 divide 433377868?
True
Does 7872 divide 93585290?
False
Is 18 a factor of 331337542?
False
Does 15 divide 38240371?
False
Is 108323853 a multiple of 27?
False
Is 1404411665 a multiple of 3215?
True
Does 7 divide 18923709?
True
Is 29012006 a multiple of 58?
True
Is 322186 a multiple of 12?
False
Is 886338 a multiple of 18?
True
Is 8 a factor of 364392?
True
Does 643 divide 45950066?
True
Does 291 divide 25622781?
False
Does 1225 divide 312770675?
True
Is 447 a factor of 87373537?
False
Is 59 a factor of 2289200?
True
Is 487 a factor of 435520204?
True
Is 131 a factor of 12110557?
True
Does 4 divide 32672880?
True
Is 142772313 a multiple of 76?
False
Does 105 divide 14142348?
False
Does 774 divide 165500550?
True
Is 1358 a factor of 39096844?
False
Is 196 a factor of 796151804?
True
Is 421 a factor of 90513737?
True
Does 1982 divide 4968874?
True
Is 12 a factor of 500072364?
True
Is 26304478 a multiple of 11?
False
Does 18 divide 250672734?
True
Does 41 divide 29885925?
True
Is 508443244 a multiple of 157?
True
Does 1471 divide 2095173763?
False
Is 597398187 a multiple of 59?
True
Does 45 divide 57069831?
False
Is 1569658 a multiple of 5?
False
Is 141962102 a multiple of 4?
False
Is 154075369 a multiple of 8?
False
Is 19 a factor of 121530953?
False
Does 470 divide 527774280?
True
Is 271276443 a multiple of 5877?
True
Does 14 divide 18517240?
True
Does 4 divide 76315068?
True
Is 996987925 a multiple of 25?
True
Does 131 divide 13817225?
True
Is 66 a factor of 157274436?
True
Does 9 divide 39709649?
False
Does 59 divide 141506639?
False
Is 65062940 a multiple of 366?
False
Is 2135 a factor of 1963245655?
True
Is 183 a factor of 25486593?
True
Does 252 divide 15654744?
True
Is 109095676 a multiple of 38?
False
Does 23 divide 61463189?
False
Does 23 divide 32970782?
False
Is 54330440 a multiple of 49?
False
Is 10 a factor of 9090400?
True
Is 141021101 a multiple of 1321?
False
Is 424695350 a multiple of 62?
True
Is 1385 a factor of 243294977?
False
Is 3 a factor of 207320940?
True
Does 64 divide 51837376?
True
Is 352368 a multiple of 24?
True
Does 909 divide 377118648?
True
Is 224739592 a multiple of 4114?
True
Does 8073 divide 1152904849?
False
Is 41648968 a multiple of 1420?
False
Is 91 a factor of 4800825?
False
Is 1799779536 a multiple of 9?
True
Is 2180160812 a multiple of 17?
False
Does 742 divide 109851616?
True
Does 5 divide 6605455?
True
Is 37873983 a multiple of 21?
True
Does 12 divide 27020364?
True
Is 3197 a factor of 935371721?
False
Is 24 a factor of 241016615?
False
Is 2504 a factor of 793154520?
True
Does 271 divide 350178341?
True
Is 21 a factor of 11831968?
False
Does 105 divide 18112213?
False
Does 72 divide 288064312?
False
Is 224 a factor of 201475008?
True
Is 25 a factor of 17515600?
True
Does 22 divide 5338234?
True
Does 2050 divide 63711950?
True
Is 144 a factor of 31459104?
True
Does 15 divide 130243500?
True
Does 30 divide 11871540?
True
Is 2119 a factor of 34619845?
False
Is 93 a factor of 1587228117?
True
Is 2173022581 a multiple of 61?
True
Is 15776362 a multiple of 20?
False
Is 4967567 a multiple of 645?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
he remainder when 40112 is divided by 2192.
656
What is the remainder when 119785 is divided by 17090?
155
What is the remainder when 521121 is divided by 521110?
11
Calculate the remainder when 9494279 is divided by 78465.
14
What is the remainder when 29288104 is divided by 135?
124
What is the remainder when 2973373 is divided by 112?
109
What is the remainder when 2851607 is divided by 219?
8
What is the remainder when 3064508 is divided by 56749?
62
What is the remainder when 1059290 is divided by 529559?
172
What is the remainder when 80201 is divided by 637?
576
What is the remainder when 534 is divided by 260?
14
What is the remainder when 219146 is divided by 1033?
150
Calculate the remainder when 645545962 is divided by 1028.
1026
What is the remainder when 195003 is divided by 2169?
1962
What is the remainder when 84633 is divided by 44?
21
Calculate the remainder when 3751282 is divided by 159.
154
Calculate the remainder when 1080343 is divided by 360084.
91
Calculate the remainder when 13788727 is divided by 17410.
7
Calculate the remainder when 771067371 is divided by 17.
3
What is the remainder when 213067293 is divided by 6?
3
Calculate the remainder when 63176 is divided by 3326.
3308
Calculate the remainder when 168413 is divided by 33654.
143
What is the remainder when 490461419 is divided by 11686?
11685
What is the remainder when 279310 is divided by 588?
10
Calculate the remainder when 971553 is divided by 971452.
101
Calculate the remainder when 300232835 is divided by 1367.
1359
Calculate the remainder when 492482 is divided by 98491.
27
What is the remainder when 1808517 is divided by 301404?
93
What is the remainder when 8615 is divided by 434?
369
Calculate the remainder when 67890 is divided by 16954.
74
What is the remainder when 88825850 is divided by 21649?
3
Calculate the remainder when 38460200 is divided by 457.
451
What is the remainder when 388426 is divided by 478?
290
Calculate the remainder when 7111 is divided by 6819.
292
What is the remainder when 3601873 is divided by 3601686?
187
Calculate the remainder when 8559 is divided by 8550.
9
What is the remainder when 1851493 is divided by 11944?
173
Calculate the remainder when 348890 is divided by 34696.
1930
What is the remainder when 32732694 is divided by 165?
159
What is the remainder when 52931 is divided by 4909?
3841
Calculate the remainder when 398169 is divided by 27.
0
What is the remainder when 1662615 is divided by 319?
306
What is the remainder when 108476 is divided by 673?
123
Calculate the remainder when 51167928 is divided by 5914.
0
Calculate the remainder when 3333956 is divided by 168.
164
Calculate the remainder when 242828 is divided by 1103.
168
Calculate the remainder when 22492023 is divided by 397.
385
Calculate the remainder when 931869 is divided by 76.
33
What is the remainder when 364668 is divided by 517?
183
What is the remainder when 5614681 is divided by 155963?
13
What is the remainder when 113454 is divided by 779?
499
Calculate the remainder when 3701516 is divided by 1233305.
1601
What is the remainder when 4424947 is divided by 1?
0
Calculate the remainder when 551594 is divided by 4086.
4070
What is the remainder when 6515424 is divided by 94?
2
What is the remainder when 367561 is divided by 52250?
1811
Calculate the remainder when 5516443 is divided by 67.
65
Calculate the remainder when 29538456 is divided by 94.
84
What is the remainder when 295007 is divided by 219?
14
Calculate the remainder when 188326 is divided by 1224.
1054
What is the remainder when 1638935095 is divided by 180?
175
What is the remainder when 139721 is divided by 10644?
1349
Calculate the remainder when 97059099 is divided by 49.
46
Calculate the remainder when 10366812 is divided by 50.
12
What is the remainder when 427506030 is divided by 3482?
3480
Calculate the remainder when 395605059 is divided by 5.
4
What is the remainder when 2864 is divided by 700?
64
What is the remainder when 524180 is divided by 9360?
20
Calculate the remainder when 80662285 is divided by 173.
170
What is the remainder when 122368893 is divided by 2723?
2719
What is the remainder when 180313151 is divided by 55?
51
Calculate the remainder when 8628698 is divided by 105228.
2
Calculate the remainder when 385952 is divided by 192695.
562
Calculate the remainder when 365584 is divided by 46.
22
Calculate the remainder when 118543 is divided by 9857.
259
What is the remainder when 8317255 is divided by 166?
157
What is the remainder when 18933114 is divided by 1920?
1914
Calculate the remainder when 173374 is divided by 85087.
3200
What is the remainder when 258288 is divided by 1285?
3
What is the remainder when 17333317 is divided by 787878?
1
What is the remainder when 494136 is divided by 65?
6
What is the remainder when 9935172 is divided by 1183?
338
Calculate the remainder when 51064691 is divided by 644.
643
Calculate the remainder when 432340 is divided by 2113.
1288
Calculate the remainder when 123711660 is divided by 8812.
8804
What is the remainder when 642133380 is divided by 19?
13
What is the remainder when 926831 is divided by 8059?
46
Calculate the remainder when 48755 is divided by 455.
70
Calculate the remainder when 4674239 is divided by 565.
559
Calculate the remainder when 2689788 is divided by 2689773.
15
Calculate the remainder when 854951 is divided by 13358.
39
Calculate the remainder when 3341945 is divided by 1635.
5
What is the remainder when 11660879 is divided by 481?
477
Calculate the remainder when 309260782 is divided by 17.
12
Calculate the remainder when 17672 is divided by 1231.
438
What is the remainder when 155591 is divided by 16920?
3311
Calculate the remainder when 1215418 is divided by 4372.
2
Calculate the remainder when 4434429 is divided by 25932.
57
Calculate the remainder when 311813270 is divided by 152.
14
Calculate the remainder when 132661 is divided by 943.
641
What is the remainder when 26939 is divided by 3778?
493
What is the remainder when 6118221 is divided by 6867?
6591
Calculate the remainder when 115291 is divided by 115028.
263
Calculate the remainder when 11249 is divided by 282.
251
What is the remainder when 27882 is divided by 22850?
5032
Calculate the remainder when 88316 is divided by 3048.
2972
Calculate the remainder when 447599 is divided by 475.
149
What is the remainder when 1740985 is divided by 248710?
15
Calculate the remainder when 2518329 is divided by 1184.
1145
What is the remainder when 24470290 is divided by 116?
90
Calculate the remainder when 294104398 is divided by 20.
18
Calculate the remainder when 1933002 is divided by 168.
162
Calculate the remainder when 641799842 is divided by 3657.
3656
Calculate the remainder when 221421850 is divided by 23.
22
Calculate the remainder when 163250 is divided by 13.
9
What is the remainder when 429754 is divided by 23852?
418
What is the remainder when 40160882 is divided by 385?
377
What is the remainder when 59914541 is divided by 2267?
2265
Calculate the remainder when 120977062 is divided by 239.
42
What is the remainder when 2785980 is divided by 500?
480
What is the remainder when 3411857 is divided by 294?
281
What is the remainder when 27180838 is divided by 140?
118
Calculate the remainder when 82558446 is divided by 2639.
2609
Calculate the remainder when 182210354 is divided by 4857.
4856
What is the remainder when 17585 is divided by 924?
29
Calculate the remainder when 9323970 is divided by 1708.
1706
What
|
{
"pile_set_name": "DM Mathematics"
}
|
*n = 3*r + 26. Suppose 0 = -2*j + v + 3, -2*j + 3*v = n - 5. Differentiate -2*i - 8 - 29*i**2 + 43*i**2 + j*i with respect to i.
28*i
Let l be 4 + 4518/63 - (-4)/14. What is the third derivative of 181*f**2 - 4*f**3 - 263*f**2 + l*f**3 wrt f?
432
What is the first derivative of 3094 - 6016 + 4*i**3 + 4192 + 26*i wrt i?
12*i**2 + 26
Let d(p) be the third derivative of 419*p**4/12 + 758*p**3/3 + 258*p**2. Differentiate d(o) wrt o.
838
Suppose 11*n - 21*n + 20 = 0. Find the third derivative of -555495*g**4 + 555495*g**4 - 5*g**2 + 149*g**5 - 184*g**n wrt g.
8940*g**2
Find the third derivative of -740*d**2 - 561*d**2 - 39*d + 39*d - 696*d**3 wrt d.
-4176
Let s(c) = 10*c. Let w be s(1). Suppose 4*t + 4 = 0, 3*z + t - 2*t - 58 = 0. What is the second derivative of -18*f**3 - w*f + 13*f + z*f wrt f?
-108*f
Let y = 179 - 177. Find the third derivative of -10*q**3 + 27*q**y - 2*q**4 + 0*q**3 - 2*q**4 + 2*q**4 wrt q.
-48*q - 60
Let y(z) be the first derivative of -6*z**4 - z**3/3 + 1375*z - 688. Differentiate y(p) with respect to p.
-72*p**2 - 2*p
Let x(s) = -12*s**2 + 7*s - 1. Let y = 37 + -31. Let k(h) = -h**2 - h. Let d(b) = y*k(b) + x(b). Find the second derivative of d(c) wrt c.
-36
Let f(v) = 2134*v**2 - 1923. Let t(w) = -4267*w**2 + 3841. Let u(s) = -5*f(s) - 3*t(s). What is the derivative of u(c) wrt c?
4262*c
Suppose -130 = -3*f + 98. Let c = 78 - f. Find the second derivative of -6*w**c + 9*w - 5*w**2 + 18*w wrt w.
-22
Let u(n) be the third derivative of -n**6/60 - 38*n**5/15 - 485*n**4/12 + 911*n**2. What is the second derivative of u(s) wrt s?
-12*s - 304
Let c(s) = -2*s**2 + 12*s. Let z be c(5). Suppose -5*m + 2*w + z = -13, -2*m + 3*w = -18. Differentiate 1189*g**m - 1 - 6 - 11*g**4 - 1189*g**3 wrt g.
-44*g**3
Let d(g) = 85*g**3 + g**2 - 45*g - 4601. Let y(s) = -97*s**3 - s**2 + 46*s + 4594. Let u(z) = -6*d(z) - 5*y(z). What is the derivative of u(m) wrt m?
-75*m**2 - 2*m + 40
Suppose 5*m - 69 = 2*r, -m - 2*r - 24 = -3*m. What is the second derivative of 6*z - m*z + 7 + 79*z**5 + 8*z wrt z?
1580*z**3
Let a(p) be the third derivative of -p**5/12 - 59*p**4/6 - 807*p**3/2 + 1081*p**2. Differentiate a(o) with respect to o.
-10*o - 236
Suppose -61*n = -59*n - 8. What is the third derivative of 16*x**3 + 0*x + 94*x**2 - 2*x**n + 7*x - 7*x wrt x?
-48*x + 96
Suppose -3*v + 2*m - 3624 = -6*v, -2*v + 2416 = -3*m. What is the second derivative of -1207*c - 25 - 27*c**2 + 122*c**2 + v*c - 93 wrt c?
190
Suppose -2 = -50*a + 51*a. Let w be (a*3/(-6))/((-8)/(-24)). What is the derivative of 20 + 1915*j**w - 31*j**4 - 1915*j**3 wrt j?
-124*j**3
Let o(i) be the second derivative of 23*i**4/12 + 2465*i**2 - 4552*i. Find the first derivative of o(a) wrt a.
46*a
Suppose 0 = o + 3*o - 20. Let d = 14 - o. What is the derivative of 0 + 5 + d + 8*u - u wrt u?
7
Let p(m) be the first derivative of -35*m - 62*m**2 + 0 + 36 + 2 - 4 + 63. Differentiate p(y) wrt y.
-124
Let r = 226 + -224. Differentiate -4168*d - r + 4168*d + 27*d**4 with respect to d.
108*d**3
Let t(m) = 8564*m**2 - 18928*m. Let l(o) = -4285*o**2 + 9464*o. Let a(y) = 13*l(y) + 6*t(y). Find the second derivative of a(k) wrt k.
-8642
Let w(u) = u**3 - 11*u**2 + 10*u + 4. Let m be w(10). Find the third derivative of -16*i**2 + 55*i**2 + 212*i**6 + 33*i**4 - 33*i**m wrt i.
25440*i**3
Let y(w) be the second derivative of -747*w**6/10 - 1222*w**3/3 + 2861*w. What is the second derivative of y(q) wrt q?
-26892*q**2
Suppose -8*s + 246 = 14. Find the first derivative of 10 - 13*a + 6*a + 15 - s*a**4 + 8*a wrt a.
-116*a**3 + 1
Let p(n) be the second derivative of 189*n**4/2 + 475*n**2/2 - 1394*n. What is the derivative of p(v) wrt v?
2268*v
Let l(m) be the third derivative of 387*m**8/112 + m**4/12 - 142*m**3/3 - 3*m**2 + 19. What is the second derivative of l(j) wrt j?
23220*j**3
Find the third derivative of -17*o**3 - 198*o**2 + 39*o**3 - 1875*o**2 - 14*o**3 + 30*o**4 - 63*o**2 wrt o.
720*o + 48
Let f(t) be the second derivative of 535*t**8/28 + 121*t**4/12 - 11*t + 1. What is the third derivative of f(c) wrt c?
128400*c**3
Let b(o) = -311*o**4 - 9*o**3 - 6*o + 1733. Let d(w) = -155*w**4 - 5*w**3 - 3*w + 866. Let u(q) = -5*b(q) + 9*d(q). What is the first derivative of u(z) wrt z?
640*z**3 + 3
Suppose -3*b = 2*k - 0*b + 7, -4*b - 20 = 0. What is the second derivative of -1268*f**3 - 13*f**k + 1267*f**3 + 170*f + 150*f**4 wrt f?
1644*f**2 - 6*f
Suppose 0 = -6*r + r
|
{
"pile_set_name": "DM Mathematics"
}
|
1}. Give prob of picking 3 u.
1/165
Calculate prob of picking 2 j and 1 v when three letters picked without replacement from {v: 1, j: 2, r: 1}.
1/4
Three letters picked without replacement from iiiaikk. Give prob of picking 2 i and 1 a.
6/35
Calculate prob of picking 2 m, 1 o, and 1 x when four letters picked without replacement from tmaamtoaxm.
1/70
What is prob of picking 1 n and 1 e when two letters picked without replacement from qzqeaeqqqqrenqqqzq?
1/51
Two letters picked without replacement from omoqa. What is prob of picking 1 o and 1 a?
1/5
Three letters picked without replacement from kkcvnvckceckcn. Give prob of picking 2 k and 1 c.
15/182
Four letters picked without replacement from {r: 5, x: 1, f: 6, q: 3}. What is prob of picking 1 f, 1 r, and 2 q?
6/91
Four letters picked without replacement from {v: 3, q: 3}. What is prob of picking 2 q and 2 v?
3/5
Two letters picked without replacement from {c: 4, m: 5, l: 1}. What is prob of picking 1 c and 1 m?
4/9
What is prob of picking 3 u and 1 b when four letters picked without replacement from {u: 5, b: 5}?
5/21
Four letters picked without replacement from {d: 9, f: 10}. What is prob of picking 2 d and 2 f?
135/323
Calculate prob of picking 1 p and 2 x when three letters picked without replacement from apppxxpxapxpp.
21/143
Two letters picked without replacement from {t: 3, l: 8, g: 2, s: 2}. Give prob of picking 1 l and 1 g.
16/105
What is prob of picking 3 r when three letters picked without replacement from {w: 5, r: 5}?
1/12
Three letters picked without replacement from wwvuv. Give prob of picking 2 v and 1 u.
1/10
Three letters picked without replacement from trhr. What is prob of picking 2 r and 1 h?
1/4
Calculate prob of picking 1 s and 2 p when three letters picked without replacement from grprprrrsrsrsccsp.
3/170
Four letters picked without replacement from {z: 1, g: 14, l: 5}. What is prob of picking 1 g, 2 l, and 1 z?
28/969
Calculate prob of picking 1 b and 1 r when two letters picked without replacement from rbrrrrrrrb.
16/45
Three letters picked without replacement from {t: 2, o: 1, q: 5, g: 1, y: 3, i: 8}. Give prob of picking 3 q.
1/114
Two letters picked without replacement from {x: 2, r: 5, a: 5}. Give prob of picking 1 r and 1 a.
25/66
Two letters picked without replacement from {r: 2, p: 4, e: 5}. Give prob of picking 1 r and 1 p.
8/55
What is prob of picking 2 n when two letters picked without replacement from vnn?
1/3
What is prob of picking 1 y and 1 k when two letters picked without replacement from kmmnngggsnmkkggymsnn?
3/190
What is prob of picking 2 r and 2 g when four letters picked without replacement from grkgggrr?
9/35
Three letters picked without replacement from lgwgqggglqg. Give prob of picking 1 w, 1 l, and 1 q.
4/165
Two letters picked without replacement from {z: 2, t: 11, b: 1, v: 1, w: 1}. What is prob of picking 1 v and 1 b?
1/120
Calculate prob of picking 2 o when two letters picked without replacement from {t: 1, n: 2, o: 2}.
1/10
What is prob of picking 1 o and 1 n when two letters picked without replacement from {l: 3, d: 6, o: 1, x: 1, n: 2}?
1/39
Three letters picked without replacement from {k: 1, m: 1, p: 2, y: 1, r: 1, q: 1}. Give prob of picking 1 k, 1 y, and 1 r.
1/35
Two letters picked without replacement from {b: 2, g: 3}. What is prob of picking 1 g and 1 b?
3/5
Two letters picked without replacement from ooorr. What is prob of picking 2 o?
3/10
Two letters picked without replacement from {e: 5, l: 4, g: 1}. What is prob of picking 1 g and 1 e?
1/9
Calculate prob of picking 1 m and 1 w when two letters picked without replacement from {s: 2, w: 1, d: 2, m: 1, g: 1}.
1/21
What is prob of picking 1 r and 3 p when four letters picked without replacement from {r: 3, p: 13}?
33/70
Two letters picked without replacement from dvddddddddvdvddddd. What is prob of picking 2 d?
35/51
Calculate prob of picking 3 w when three letters picked without replacement from {h: 1, d: 2, o: 3, v: 5, w: 8}.
56/969
Calculate prob of picking 1 q and 3 z when four letters picked without replacement from {y: 1, q: 1, r: 1, v: 1, z: 1}.
0
Calculate prob of picking 2 y when two letters picked without replacement from {y: 4, z: 4, j: 2}.
2/15
Four letters picked without replacement from dddzzrfrfzddzrtdzd. Give prob of picking 4 z.
1/612
Calculate prob of picking 1 o and 2 t when three letters picked without replacement from jljoltltlljlltljtlo.
4/323
What is prob of picking 1 k, 1 u, and 1 b when three letters picked without replacement from {a: 1, g: 2, b: 2, u: 1, z: 1, k: 2}?
1/21
What is prob of picking 2 z and 2 l when four letters picked without replacement from {o: 5, q: 4, z: 2, l: 8}?
7/969
Two letters picked without replacement from zynrzvnvraaannz. What is prob of picking 1 z and 1 a?
3/35
What is prob of picking 3 e when three letters picked without replacement from eeeeeereoeoeeeereere?
91/228
Two letters picked without replacement from kkkkakkakwkkkk. What is prob of picking 1 k and 1 w?
11/91
Calculate prob of picking 1 o and 2 a when three letters picked without replacement from {a: 3, x: 2, f: 3, o: 1, z: 4, b: 2}.
3/455
What is prob of picking 4 t when four letters picked without replacement from {q: 2, m: 1, w: 1, t: 12, f: 1}?
99/476
Four letters picked without replacement from kkkkikskpkiidzpii. What is prob of picking 1 p, 2 i, and 1 s?
1/119
Four letters picked without replacement from nnnnvtnkntk. What is prob of picking 3 n and 1 k?
4/33
What is prob of picking 1 m and 1 i when two letters picked without replacement from {i: 1, m: 3, s: 5, b: 4}?
1/26
What is prob of picking 2 c and 2 z when four letters picked without replacement from {c: 3, z: 4, y: 4, j: 5}?
9/910
Calculate prob of picking 2 e and 1 j when three letters picked without replacement from {j: 1, e: 4, l: 2, t: 3, p: 1, r: 1}.
3/110
Two letters picked without replacement from {u: 1, b: 1, h: 7}. Give prob of picking 1 u and 1 h.
7/36
What is prob of picking 2 b and 1 m when three letters picked without replacement from mbflb?
1/10
Calculate prob of picking 3 d when three letters picked without replacement from ddffdddddddddddf.
143/280
Three letters picked without replacement from mzhczmz. Give prob of picking 1 m, 1 c, and 1 h.
2/35
Four letters picked without replacement from {a: 4, j: 5, v: 3}. Give prob of picking 3 j and 1 v.
2/33
Four letters picked without replacement from {x: 3, n: 5, c: 5}. Give prob of picking 1 x and 3 c.
6/143
What is prob of picking 1 d and 1 n when two letters picked without replacement from nggngndgnng?
1/11
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
r of c and g?
7
Suppose -11 = 5*n - 41. Calculate the highest common factor of 30 and n.
6
Suppose 0 = 9*y - 11*y + 16. What is the highest common divisor of 40 and y?
8
Suppose 0 = 3*i - 153 + 36. What is the greatest common divisor of i and 156?
39
Let v(s) = 2*s + 7. Let q be v(0). Let z = q - -4. What is the highest common divisor of z and 77?
11
Let i(t) = 9*t**2. Suppose 3*n - 3 = 3. Suppose -n - 1 = -3*y. Let f be i(y). Calculate the greatest common factor of f and 18.
9
Let d = 15 - 4. Suppose -2*g - 7*p = -3*p - 54, g - p - 36 = 0. Calculate the greatest common factor of d and g.
11
Let n = 24 - 21. Suppose n*s - 50 = -2*s. Let o = -15 + 85. Calculate the highest common factor of s and o.
10
Suppose 2*r + 2*r - 12 = -5*n, -6 = -n + r. Let d be (1 - n)*-1*13. What is the greatest common divisor of 26 and d?
13
Suppose 0 = 2*r + c - 9, 3*r + 4*c = -c + 17. Let k(z) = -22*z - 100. Let j be k(-6). What is the highest common factor of r and j?
4
Let a(k) = -k**3 + 5*k**2 + 7*k. Let u be a(6). Let g be (-2 + 11)*28/u. What is the greatest common factor of g and 6?
6
Let o be (120/14)/6*7. What is the greatest common factor of 110 and o?
10
Suppose 0 = 6*z - 730 - 596. What is the greatest common divisor of 13 and z?
13
Suppose -2*c = 2*c. Suppose 5*i - 33 - 27 = c. Calculate the highest common divisor of i and 48.
12
Let s be 5/2 + 2/(-4). Suppose -a = -s*a + 9. Let u = 4 - 3. Calculate the greatest common divisor of a and u.
1
Suppose 6*w - 735 = -w. Suppose -1 = -p - 2. Let x = 20 - p. What is the highest common divisor of x and w?
21
Let n be 2/(-6) + (-67)/(-3). Suppose -93 = -4*k + z, -4 = 5*k + 3*z - 99. What is the greatest common divisor of k and n?
22
Suppose 13*h = 8*h + 260. What is the greatest common factor of h and 26?
26
Let x be 6/8 + 270/24. Suppose 0 = -s + 20 - x. Calculate the greatest common factor of 72 and s.
8
Let w = 0 + 9. Calculate the highest common factor of w and 63.
9
Suppose 0 = -4*f + 2*r + 138, -3*f + f = -3*r - 71. Calculate the greatest common divisor of 306 and f.
34
Let u = -13 - -20. Suppose 0 = 2*l - 21 - 7. Suppose -l = 6*a - 7*a. What is the greatest common divisor of a and u?
7
Let m(f) = f**2 + f - 2. Let x be m(-3). Suppose 0 = -r - 4*u - u - 8, -22 = -x*r - 2*u. Calculate the greatest common divisor of r and 7.
7
Let f = 41 + 1. Suppose 3*v = 5*z + f, 0 = 2*v + z - 3*z - 24. Let o be (-3)/((-6)/2)*54. Calculate the highest common factor of o and v.
9
Let s = -21 + 41. Calculate the greatest common divisor of 30 and s.
10
Suppose 275 = 4*w + 71. Suppose 6*m - 273 = w. Let p(f) = -f**3 + 4*f**2 + 3*f - 6. Let u be p(4). Calculate the greatest common divisor of m and u.
6
Let v be (-6 - -13)*(-44)/(-14). Calculate the highest common factor of 176 and v.
22
Suppose -180 = -2*y - 3*y - 4*h, 2*y + 2*h - 74 = 0. Let t = y + -17. Calculate the highest common divisor of 165 and t.
15
Let f be 2/8 + (-3663)/(-36). Let s = 256 - f. What is the highest common factor of 22 and s?
22
Let n(l) = 5*l - 13. Let b be n(6). Suppose -237 - 396 = -3*s - 3*u, 2*s = 2*u + 422. Suppose 3*v - s = -7. What is the greatest common factor of v and b?
17
Suppose -5*h + 7 = -83. Let g = -6 + h. What is the greatest common factor of g and 96?
12
Suppose 0 = -2*u + 4*h + 4, 2*u + h = 4*h + 2. Let p be ((-3)/u)/1*42. Calculate the greatest common factor of 9 and p.
9
Suppose 2*r - 1 = -13. Let a be (-4)/r - (-21)/9. Calculate the greatest common factor of 24 and a.
3
Suppose -4*l + 64 = 2*x, 5*x - 2*l - 124 = -0*l. Suppose -x = -5*f + 4*f. Let s be (-4)/f + 54/13. What is the greatest common divisor of s and 8?
4
Suppose -2*b = 2*b - 364. What is the highest common divisor of 13 and b?
13
Suppose -389 = 13*c - 16*c - 4*n, -3*c - 3*n + 384 = 0. What is the highest common divisor of c and 41?
41
Suppose h + 3 = 0, -o - 2*o - 2*h + 264 = 0. Calculate the greatest common factor of 60 and o.
30
Let t = -17 - -12. Let p = 11 + t. Let v(a) = 6*a. Let x be v(5). Calculate the greatest common divisor of p and x.
6
Let l(i) = 2*i + 3. Let w be l(7). Suppose 6*g - 5*g - w = 0. What is the greatest common divisor of g and 136?
17
Let f be 111/18 + (-3)/(-36)*-2. Let k be (4/(-3))/(4/(-18)). What is the highest common factor of f and k?
6
Suppose x = 3*l + 33, -3*x - 17*l = -12*l - 155. What is the highest common divisor of 9 and x?
9
Let o be (-2 - -6)/((-1)/(-2)). What is the highest common divisor of 56 and o?
8
Let b be ((-30)/(-25))/(2/(-30)). Let h be 36/(-27)*b*1. What is the highest common factor of 216 and h?
24
Let v = 8 + 16. Calculate the greatest common factor of v and 3.
3
Let n = 63 + -60. Suppose 2*g - 12 = -2*t, -3 = g - t - 1. What is the greatest common factor of n and g?
1
Let q = -6 - -22. Calculate the greatest common divisor of q and 24.
8
Let d be (-45)/(-6)*(-32)/(-5). Suppose d + 22 = 2*z. What is the highest common divisor of z and 5?
5
Suppose -y + 0*y - 4*f = -16, 5*y + 5*f = 35. What is the highest common divisor of 12 and y?
4
Suppose 0 = -2*u - 2*z + 144, -3*u + 216 = -z - 3*z. What is the highest common factor of 8 and u?
8
Let d(x) = x**2 - 6*x + 20. Let z be d(11). Let v be -2 - -2 - 60/(-2). Calculate the highest common factor of z and v.
15
Let d(k) = k + 2. Let m be d(-7). Let z be 4/8*-2*m. What is the highest common divisor of 15 and z?
5
Let q be 4/(-6)*-15*5. Let h = 60 + -40. What is the greatest common divisor of h and q?
10
Suppose 4*i - 3*s - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
ascending order.
0, 2, 10
Sort 2, -5, -1, -4 in decreasing order.
2, -1, -4, -5
Sort -8, -2, 2, -1 in decreasing order.
2, -1, -2, -8
Sort 0, -4, -3/8, 3 in ascending order.
-4, -3/8, 0, 3
Sort 0.06, 2/25, 1 in decreasing order.
1, 2/25, 0.06
Sort -1/2, -4, 3, 0.1, -6/11.
-4, -6/11, -1/2, 0.1, 3
Put 3, -3, 1773 in descending order.
1773, 3, -3
Sort -9, -0.6, 1/10.
-9, -0.6, 1/10
Sort -1, -6, 4, 279 in ascending order.
-6, -1, 4, 279
Put 0.4, 0, -5, -3.9 in increasing order.
-5, -3.9, 0, 0.4
Put -2693, 1, 0 in descending order.
1, 0, -2693
Sort 0, 1/6, 30, 1/3 in descending order.
30, 1/3, 1/6, 0
Put 0, -7, -4, 7 in increasing order.
-7, -4, 0, 7
Put -1, 1/5, 2 in ascending order.
-1, 1/5, 2
Sort 2/109, -4, 10, -2 in ascending order.
-4, -2, 2/109, 10
Put -0.1, -5, 2, 2/43 in descending order.
2, 2/43, -0.1, -5
Put 4, -3, -5, -24 in descending order.
4, -3, -5, -24
Put 1/36, -5, 3 in decreasing order.
3, 1/36, -5
Put -4, 4, 60 in decreasing order.
60, 4, -4
Put 5, 1, 4 in decreasing order.
5, 4, 1
Sort 16, -1.8, -5, -3/5, -0.3 in increasing order.
-5, -1.8, -3/5, -0.3, 16
Sort 3, 4, -20 in descending order.
4, 3, -20
Sort -2/3, -2.8, -4, 0.2, 5 in decreasing order.
5, 0.2, -2/3, -2.8, -4
Sort -3, -10, -4, -23 in increasing order.
-23, -10, -4, -3
Put 43, 0, -4, -1 in descending order.
43, 0, -1, -4
Sort 5, 3, -3, 4 in decreasing order.
5, 4, 3, -3
Sort -5, -0.33, -0.2 in increasing order.
-5, -0.33, -0.2
Sort -1/15, -0.2, 3/5.
-0.2, -1/15, 3/5
Put -0.2, 1, -1, 5 in ascending order.
-1, -0.2, 1, 5
Put -5, -4, 4, 3/7 in descending order.
4, 3/7, -4, -5
Put -29, -0.2, 3, 3/14 in decreasing order.
3, 3/14, -0.2, -29
Sort 0.3, 20, 0.08, -5 in decreasing order.
20, 0.3, 0.08, -5
Put -2, 14, -4, 0 in descending order.
14, 0, -2, -4
Sort -4, 1, 0.3, -0.21, -5 in descending order.
1, 0.3, -0.21, -4, -5
Sort -172, 5, 2/9 in increasing order.
-172, 2/9, 5
Put -50, -0.4, 1/3 in ascending order.
-50, -0.4, 1/3
Sort -0.08, 2, 1/8 in descending order.
2, 1/8, -0.08
Sort 4, 0, -1, 55 in increasing order.
-1, 0, 4, 55
Put 18, 4/5, -12, 2/3 in ascending order.
-12, 2/3, 4/5, 18
Sort 11, -61, 6, 3 in decreasing order.
11, 6, 3, -61
Sort 2/15, -0.3, 0.3 in increasing order.
-0.3, 2/15, 0.3
Sort 3, 8, -4 in decreasing order.
8, 3, -4
Sort 16, -4, 10 in decreasing order.
16, 10, -4
Sort 8, -5, 28, 0, 1.
-5, 0, 1, 8, 28
Sort 10, 3, -2, -7 in decreasing order.
10, 3, -2, -7
Put 0.047, 9, -0.05 in descending order.
9, 0.047, -0.05
Put 0.02, -2/17, -3, 0.14 in increasing order.
-3, -2/17, 0.02, 0.14
Put 1, -1, 23, 2 in ascending order.
-1, 1, 2, 23
Put -4, 13, -2, 6 in increasing order.
-4, -2, 6, 13
Put 3/14, 4/7, 0.1 in descending order.
4/7, 3/14, 0.1
Put 4, 2, -34, -0.08 in descending order.
4, 2, -0.08, -34
Put -5, -4, 0, 9 in decreasing order.
9, 0, -4, -5
Sort 4, -0.8, 0, 0.5 in increasing order.
-0.8, 0, 0.5, 4
Sort 4, -6/7, 27, -4 in descending order.
27, 4, -6/7, -4
Sort -2, 2/11, -9 in decreasing order.
2/11, -2, -9
Sort 2/19, 57, -0.1 in increasing order.
-0.1, 2/19, 57
Sort -2, 92, 1, -3 in descending order.
92, 1, -2, -3
Put 34, 1, -9 in decreasing order.
34, 1, -9
Sort -3, 0, -1, 7, 4 in increasing order.
-3, -1, 0, 4, 7
Put 3, 4, 2416 in descending order.
2416, 4, 3
Put 8, 3, 5, 0 in descending order.
8, 5, 3, 0
Sort 2/5, 0.5, 74, 1 in ascending order.
2/5, 0.5, 1, 74
Put -12, 0.5, -0.6, 5 in ascending order.
-12, -0.6, 0.5, 5
Put -4, -5, 23, 1 in ascending order.
-5, -4, 1, 23
Sort -1/25, 14, 0 in decreasing order.
14, 0, -1/25
Put 1, 2, 4, -4, 0 in descending order.
4, 2, 1, 0, -4
Sort 1, -2, 2, 4 in ascending order.
-2, 1, 2, 4
Sort -108, -5, -2, -3 in descending order.
-2, -3, -5, -108
Put 3, 1.7, 13 in decreasing order.
13, 3, 1.7
Sort -5, 157, -2 in descending order.
157, -2, -5
Sort 0.2, -10, 4, 3, 0.3.
-10, 0.2, 0.3, 3, 4
Sort 1/5, -0.05, 0.3, -5 in descending order.
0.3, 1/5, -0.05, -5
Sort 0, -1/10, -2/7, -1/5.
-2/7, -1/5, -1/10, 0
Sort -0.2, 2/13, -1/6, 2/3, -6/7 in ascending order.
-6/7, -0.2, -1/6, 2/13, 2/3
Put -0.2, 44.3, -0.3 in decreasing order.
44.3, -0.2
|
{
"pile_set_name": "DM Mathematics"
}
|
89, -692?
-695
What is the next term in -91, -182, -275, -370, -467, -566, -667?
-770
What is the next term in -1708, -3416, -5122, -6826, -8528, -10228, -11926?
-13622
What comes next: -29, -45, -71, -107, -153, -209?
-275
What is the next term in -1218, -1217, -1216, -1215, -1214?
-1213
What is the next term in -2825, -2824, -2821, -2816?
-2809
What is the next term in 37, 213, 683, 1591, 3081?
5297
What is next in -9, -21, -31, -33, -21, 11, 69, 159?
287
What is next in 720, 716, 710, 702, 692, 680?
666
What is next in -2296, -2303, -2310, -2317, -2324, -2331?
-2338
What comes next: -46, -186, -420, -748, -1170?
-1686
What is next in 93, 193, 293, 393, 493?
593
What is next in -598, -2415, -5448, -9697, -15162, -21843, -29740?
-38853
What is the next term in 105, 160, 213, 264?
313
What is the next term in 29, 183, 459, 851, 1353?
1959
What is the next term in -105, -368, -807, -1422, -2213, -3180?
-4323
What is next in 576, 604, 666, 774, 940, 1176, 1494?
1906
What is next in -2333, -4667, -6999, -9329, -11657, -13983?
-16307
What is the next term in 87, 197, 309, 423, 539, 657, 777?
899
What comes next: 1453, 2911, 4369, 5827, 7285?
8743
What comes next: 159, 108, 23, -96, -249, -436?
-657
What is the next term in 145, 246, 347, 448, 549?
650
What comes next: 52, 159, 338, 589, 912?
1307
What is the next term in -33, -113, -233, -381, -545, -713, -873, -1013?
-1121
What is the next term in 18, 40, 66, 96?
130
What is the next term in 135, 310, 493, 690, 907?
1150
What is next in -701, -699, -697?
-695
What is the next term in 315, 663, 1011, 1359?
1707
What comes next: 490, 487, 482, 475, 466, 455?
442
What comes next: 43, 74, 95, 100, 83, 38?
-41
What is the next term in 10, 11, -2, -35, -94?
-185
What is the next term in -318, -292, -266, -240, -214?
-188
What is next in 2624, 2615, 2594, 2555, 2492, 2399, 2270?
2099
What comes next: 42, 86, 130, 174?
218
What comes next: 70, -34, -214, -476, -826, -1270?
-1814
What is next in 424, 455, 486, 517, 548, 579?
610
What is next in -52, -103, -154?
-205
What is the next term in 407, 408, 409?
410
What comes next: -27707, -55412, -83117, -110822, -138527, -166232?
-193937
What is the next term in 23, 184, 623, 1478, 2887?
4988
What is next in 29, 102, 219, 374, 561?
774
What is the next term in 44, 109, 230, 413, 664, 989?
1394
What is the next term in -36, 10, 126, 348, 712, 1254, 2010?
3016
What is the next term in 467, 462, 453, 440, 423, 402, 377?
348
What is the next term in 116, 211, 306, 401, 496?
591
What comes next: 1059, 2120, 3181, 4242, 5303, 6364?
7425
What comes next: 1, -6, -13, -14, -3, 26, 79, 162?
281
What comes next: -477, -516, -567, -636, -729?
-852
What comes next: -5, -7, -3, 13, 47, 105, 193, 317?
483
What is the next term in -145, -111, -53, 29, 135, 265?
419
What is the next term in -55, -54, -43, -16, 33, 110, 221, 372?
569
What comes next: -184, -367, -550?
-733
What comes next: -282, -283, -284, -285?
-286
What comes next: 37, 69, 121, 193?
285
What is next in 14573, 14572, 14571, 14570?
14569
What is the next term in 318, 644, 970?
1296
What is next in 68, 84, 96, 92, 60, -12, -136?
-324
What is next in 141, 1458, 5031, 11988, 23457, 40566, 64443, 96216?
137013
What is the next term in 990, 991, 992, 993, 994?
995
What comes next: 188, 197, 220, 263, 332?
433
What is next in -493, -494, -495, -496, -497?
-498
What comes next: -1340, -1345, -1352, -1361, -1372?
-1385
What is next in 198, 223, 248?
273
What comes next: -9, -27, -45?
-63
What is next in 605, 604, 603?
602
What is next in -20, -65, -138, -239, -368, -525, -710?
-923
What comes next: -76, -78, -80, -82, -84?
-86
What is the next term in -562, -555, -536, -499, -438, -347, -220?
-51
What is next in 41, 112, 235, 416, 661?
976
What is next in 5, -16, -77, -202, -415, -740, -1201?
-1822
What comes next: -34, -37, -42, -49, -58, -69?
-82
What is next in -225, -923, -2093, -3735, -5849, -8435, -11493?
-15023
What is the next term in -20, -38, -66, -110, -176?
-270
What is next in -76, -71, -70, -79, -104, -151?
-226
What comes next: 3, -15, -43, -87, -153?
-247
What is next in 156, 166, 182, 204, 232?
266
What is the next term in -7, -64, -173, -346, -595?
-932
What comes next: 63, 68, 73, 78, 83?
88
What is next in 199, 200, 195, 178, 143, 84?
-5
What is the next term in -38, -44, -60, -92, -146, -228, -344, -500?
-702
What comes next: -19, -40, -65, -94?
-127
What is next in 28, 35, 54, 91, 152, 243, 370, 539?
756
What comes next: -926, -1862, -2800, -3740, -4682, -5626, -6572?
-7520
What is next in 871, 1747, 2627, 3511?
4399
What is next in 2588, 2586, 2594, 2618, 2664, 2738, 2846, 2994?
3188
What comes next: -46, -196, -450, -
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) -1 (b) q (c) y (d) -14
b
Let t be 2 - 3 - (-4)/5. Let h be (2/26)/((7/(-7))/89). Let j = 7 + h. What is the closest to 0 in -5, j, t?
j
Suppose -7 = 308*t - 301*t. Which is the nearest to 0.9? (a) -2/3 (b) -2/15 (c) 3 (d) t
b
Let h = -1.2 + 2.2. Let p = 13.019 + -12.969. What is the nearest to p in 0.3, -3, 0.5, h?
0.3
Let q = 23661.4 - 23661. Which is the nearest to 118? (a) 1/10 (b) 2 (c) q (d) -0.4
b
Let x = 0.833 + -0.033. Let s = 10.2 + x. Let p = s + -15. Which is the closest to 1/2? (a) -1 (b) p (c) -1/6
c
Let z = -279 - -315. Let r be 36/40*8/z. Which is the closest to r? (a) 1 (b) 5/4 (c) -3/7
c
Let u = 61663 - 61670. Let o(t) = t**2 - 3. Let z be o(3). Which is the nearest to 0? (a) u (b) z (c) -2/3
c
Let q = -1.13 - -0.93. Suppose -10 = 7*t + 18. Let v = -0.01 - 4.99. What is the closest to 0 in q, t, v?
q
Let u be 6970/1700 - (-36)/(-10). What is the nearest to 1/3 in 0.01, u, -5/2, -1?
u
Let h = 47.83 - 46.63. Let m be 0 - (32/14 - 2). Which is the closest to h? (a) m (b) -0.2 (c) 0.5
c
Let w(k) = -k + 4. Let n be w(6). Let j = 1232.17 - 1232.21. What is the closest to n in 4, j, -4/3?
-4/3
Let q = 54.006 - 54. Let j = q - -0.994. Let z be 1*(-3 - 9*(-8)/30). Which is the nearest to j? (a) z (b) -26 (c) 1
c
Suppose -93 = -7*l - 23. Let n be (-4)/(-45)*(-15)/l*-3. Let i = -29 - -28.5. What is the closest to n in i, 0.1, 3?
0.1
Let h = -0.12 + 0.02. Let k = 1.1 + -1. Let j = -105911.8 + 105913. Which is the nearest to -0.1? (a) j (b) h (c) k
b
Let j = 6051 - 6049.2. What is the nearest to 0 in 1/28, j, -3/8?
1/28
Let z = -66.94 + 66.88. Which is the closest to -0.4? (a) z (b) -2/11 (c) 1 (d) -0.3
d
Suppose -16*w + 75 = -31*w. Let y = 7 - 6.9. Let n = y + 0.2. Which is the closest to 1/2? (a) -3/4 (b) n (c) w
b
Let w = 696 - 694. Suppose 0 = l + 3*r + 2, -4*l + r - 10 = -w. Which is the closest to l? (a) -2/9 (b) -3 (c) -1/4 (d) -0.1
b
Let j = 9.43 - 9.53. Let s be (-2)/4 + 4/(-8). Which is the nearest to s? (a) j (b) -20 (c) -0.5
c
Let v = 9.073 + -47.105. Let i = v - -38. Let y = 0.032 + i. What is the closest to y in -1, 0.4, 0.2?
0.2
Let t be (16/(-20))/((-25)/(-500)*56). Let c = -0.05 - 4.95. What is the closest to t in c, -4, -2.4?
-2.4
Let d = 1708 + -1712. What is the closest to 4 in -11, d, -5?
d
Let q = -32 - -32.3. Let v = 20.09 + -20.19. Which is the closest to -2/7? (a) q (b) v (c) 2/17
b
Let r = -3790 - -3789.9. What is the nearest to -2/7 in -3.2, -4/5, 0, r?
r
Suppose 0 = -2*m + 5*r + 70, -45*m + 196 = -40*m - 2*r. Let h = -5 + 14. Suppose l = h*l - m. Which is the closest to -27? (a) -1/2 (b) l (c) 2/11
a
Let k = 282.05 - 282.04. Which is the closest to 0.2? (a) -1/2 (b) -5/3 (c) 1.2 (d) k
d
Let i = 0.622 + 1.378. Which is the nearest to -1? (a) 0.4 (b) 11 (c) i
a
Let j be ((-12)/(-14))/((-221)/(-3094)). Which is the closest to 1? (a) j (b) 1/7 (c) 0.5
c
Let z = -170 + -80. Let h be ((-4)/(-18))/(z/150). What is the nearest to 0.1 in h, -0.3, 3?
h
Let c = -0.107 - -0.007. Let n = -34.562 + 0.662. Let a = n - -34. What is the nearest to a in 4, c, -1/2?
c
Let o = 79/36 - 85/36. Which is the closest to 0? (a) 0.3 (b) 1 (c) o
c
Let k = 10.1 + -11. Let u be 1404/((-1053)/(-39)) - 55. Let f = -1 - -0.9. Which is the nearest to f? (a) 5 (b) k (c) u
b
Let y = -12512 + 12512.003. What is the closest to y in -2/5, -2, 2, 2/3?
-2/5
Let r = -79/252 - 5/252. Which is the nearest to -2/7? (a) r (b) -15 (c) -4 (d) -1/2
a
Let p = 938 - 955. What is the nearest to p in -2, 5, 2/5, 8?
-2
Let z be 231/(-42)*(-3)/11. Let u(r) = r**3 - 5*r - 2. Let d be u(-3). Which is the closest to 2? (a) z (b) -1/4 (c) d
a
Let v = 76 - 78.13. Let d = -0.17 + v. Let u = 2.2 + d. What is the closest to u in 0.5, -3/4, 3?
0.5
Suppose -3*f = -4*h + 6, -10 = -f - 3*h + 1. Suppose -23*i = 21 + f. What is the nearest to i in 0.06, 2/23, 3/2?
0.06
Let k = 330716/7 + -47245. Let j = -5 - -2. What is the closest to 1 in j, -5, k?
k
Let k = -0.03523 - -0.33523. Which is the nearest to 41? (a) -4 (b) 0.2 (c) -3/10 (d) k
d
Let x be (-19 + 16)*3204/54
|
{
"pile_set_name": "DM Mathematics"
}
|
ked without replacement from bzhbzzznz. What is prob of picking 1 z and 1 h?
5/36
Three letters picked without replacement from ffxlllxlxxlfxlxxlx. What is prob of picking 2 l and 1 x?
7/34
Four letters picked without replacement from jfjjrrjrrrrjjrrfr. What is prob of picking 2 r and 2 j?
27/119
Four letters picked without replacement from fkskyyuqffsy. Give prob of picking 2 u and 2 s.
0
Three letters picked without replacement from {a: 11, x: 9}. What is prob of picking 3 x?
7/95
What is prob of picking 1 s, 1 w, and 2 q when four letters picked without replacement from qwwos?
0
Calculate prob of picking 2 f when two letters picked without replacement from {j: 7, l: 3, m: 4, f: 2, a: 3}.
1/171
What is prob of picking 3 i and 1 s when four letters picked without replacement from {s: 5, a: 1, i: 5}?
5/33
What is prob of picking 3 r and 1 c when four letters picked without replacement from ucrccrrrrcucurc?
8/91
Two letters picked without replacement from zzzzzzvzzzzzzzzzzzzz. Give prob of picking 1 v and 1 z.
1/10
What is prob of picking 1 i and 2 p when three letters picked without replacement from {p: 3, i: 3}?
9/20
Calculate prob of picking 1 u and 2 k when three letters picked without replacement from {s: 1, u: 1, k: 3}.
3/10
Two letters picked without replacement from {y: 1, f: 3}. Give prob of picking 2 f.
1/2
Four letters picked without replacement from {v: 7, c: 4, t: 4}. What is prob of picking 1 t and 3 v?
4/39
Two letters picked without replacement from qnndqqnqnnn. Give prob of picking 1 n and 1 q.
24/55
Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {e: 2, r: 4, n: 1, s: 6}.
2/39
What is prob of picking 2 g when two letters picked without replacement from {g: 12, q: 3, s: 2}?
33/68
What is prob of picking 1 g and 2 l when three letters picked without replacement from {z: 2, s: 3, l: 7, g: 5, o: 3}?
7/76
Three letters picked without replacement from {o: 12, m: 6}. What is prob of picking 3 o?
55/204
Calculate prob of picking 4 h when four letters picked without replacement from hhhhwhhhhhhhhhh.
11/15
Four letters picked without replacement from {r: 1, a: 3, g: 3, n: 4, z: 5, b: 4}. What is prob of picking 3 b and 1 z?
4/969
What is prob of picking 2 c when two letters picked without replacement from qqxxcqqcqxx?
1/55
Calculate prob of picking 2 x when two letters picked without replacement from xxxpxxpxx.
7/12
What is prob of picking 2 y and 1 d when three letters picked without replacement from pdpdddydpddpydddddyd?
13/380
Three letters picked without replacement from {l: 5, s: 4, z: 5}. Give prob of picking 2 z and 1 s.
10/91
Three letters picked without replacement from {f: 1, a: 1, u: 2, k: 3, m: 3, e: 2}. Give prob of picking 3 k.
1/220
Calculate prob of picking 4 j when four letters picked without replacement from {j: 10}.
1
Calculate prob of picking 1 p and 2 t when three letters picked without replacement from {y: 6, t: 6, j: 1, q: 3, p: 1, f: 1}.
5/272
Calculate prob of picking 3 i when three letters picked without replacement from wwiiwiiiiw.
1/6
Four letters picked without replacement from {m: 4, v: 3}. What is prob of picking 4 m?
1/35
Three letters picked without replacement from {r: 3, p: 3, a: 1, v: 3, h: 2, i: 2}. Give prob of picking 1 i, 1 h, and 1 p.
3/91
Three letters picked without replacement from xixxxxxi. What is prob of picking 1 x and 2 i?
3/28
Calculate prob of picking 3 h when three letters picked without replacement from {h: 7}.
1
What is prob of picking 1 y and 1 d when two letters picked without replacement from dyyuu?
1/5
Two letters picked without replacement from {k: 2, z: 2, x: 7}. What is prob of picking 2 k?
1/55
Three letters picked without replacement from uuuu. Give prob of picking 3 u.
1
Two letters picked without replacement from {f: 2, k: 4, l: 7, t: 1}. Give prob of picking 1 l and 1 f.
2/13
Four letters picked without replacement from gokkpqag. What is prob of picking 2 k and 2 g?
1/70
Two letters picked without replacement from {w: 1, r: 5, k: 2, g: 1, q: 1}. What is prob of picking 2 r?
2/9
Two letters picked without replacement from {r: 2, v: 1, s: 4, g: 1, b: 1}. What is prob of picking 1 v and 1 r?
1/18
Four letters picked without replacement from {g: 3, j: 3}. What is prob of picking 2 g and 2 j?
3/5
Three letters picked without replacement from wffwifwiwffiiiffii. What is prob of picking 1 i and 2 w?
7/136
Two letters picked without replacement from rnntrntttnrnntnntnt. What is prob of picking 2 n?
4/19
What is prob of picking 2 p and 1 g when three letters picked without replacement from gppgpp?
3/5
Calculate prob of picking 1 j, 1 h, and 1 l when three letters picked without replacement from {j: 7, m: 1, l: 4, h: 1}.
14/143
Four letters picked without replacement from kkzkzczzzk. Give prob of picking 3 k and 1 z.
2/21
Three letters picked without replacement from jdwsjla. What is prob of picking 1 w, 1 l, and 1 s?
1/35
Four letters picked without replacement from iiiiiiiiii. What is prob of picking 4 i?
1
Calculate prob of picking 1 o and 1 s when two letters picked without replacement from sooosoosooooooosooo.
20/57
Calculate prob of picking 2 k when two letters picked without replacement from {t: 1, s: 1, x: 4, g: 2, k: 8}.
7/30
Calculate prob of picking 4 t when four letters picked without replacement from {u: 9, v: 4, t: 4}.
1/2380
What is prob of picking 1 j, 1 p, and 1 x when three letters picked without replacement from {x: 1, j: 1, c: 1, y: 1, p: 1}?
1/10
What is prob of picking 1 g and 1 j when two letters picked without replacement from ggjgggjjjggjzzggmmgj?
6/19
Two letters picked without replacement from doooododooooooo. Give prob of picking 2 d.
1/35
Three letters picked without replacement from {i: 1, p: 4, z: 1, u: 2, n: 1}. What is prob of picking 1 i, 1 n, and 1 z?
1/84
Three letters picked without replacement from {z: 1, k: 4, p: 7, a: 1}. What is prob of picking 3 p?
35/286
Three letters picked without replacement from {q: 7, p: 3}. Give prob of picking 1 p and 2 q.
21/40
Three letters picked without replacement from qyrttqrrqyyrt. What is prob of picking 2 t and 1 y?
9/286
What is prob of picking 1 l and 1 o when two letters picked without replacement from {q: 2, z: 1, t: 1, l: 2, o: 1, g: 1}?
1/14
What is prob of picking 2 s and 1 x when three letters picked without replacement from {x: 7, s: 5}?
7/22
Calculate prob of picking 1 w, 1 k, and 1 b when three letters picked without replacement from {w: 2, k: 2, b: 2}.
2/5
Two letters picked without replacement from djjjdjj. What is prob of picking 1 j and 1 d?
10/21
Four letters picked without replacement from {
|
{
"pile_set_name": "DM Mathematics"
}
|
the third biggest value in 6881341, -0.1, -2/9?
-2/9
What is the third biggest value in 143, 6, -0.1, -1/289, -0.3?
-1/289
Which is the third smallest value? (a) -34 (b) 4 (c) 358.1 (d) 3/4 (e) 12
b
What is the biggest value in 240, 0, -5, 13/5124?
240
What is the fourth smallest value in -35, -3, 2002, 0.2, 0.3?
0.3
Which is the smallest value? (a) 0.2 (b) 0.051003 (c) 99
b
Which is the second smallest value? (a) -3 (b) 20755.61 (c) -5 (d) 3
a
Which is the biggest value? (a) -7027 (b) 0.03 (c) 2 (d) 4/3
c
Which is the biggest value? (a) -61190 (b) -3 (c) -2
c
What is the third biggest value in -33/13988, -236, 2/9, 2/7?
-33/13988
What is the smallest value in 2/7, -1, 0.5, -3/5, -96/11, 0.6, 26?
-96/11
What is the second biggest value in -26341/275, -0.4, 3?
-0.4
Which is the fifth smallest value? (a) 3 (b) 0 (c) 0.01 (d) 0.3 (e) -3/667
a
What is the second biggest value in 0.3, 0.2, 536, 3.4, -15, -0.2?
3.4
What is the smallest value in 478659, 0.5, 69/4?
0.5
Which is the second smallest value? (a) -3/31 (b) 15.157 (c) -4
a
Which is the fifth biggest value? (a) 1/4 (b) 2 (c) 5 (d) 4 (e) 0.05 (f) 5.368
a
What is the second biggest value in 5/9, -0.4, 7, -99, -3.57?
5/9
What is the fourth biggest value in 7, 566, -2/13, 2/77?
-2/13
What is the sixth biggest value in 1, 2/5, -2, -20, 0.2, 5, 1134?
-2
Which is the third biggest value? (a) -4 (b) 0.14 (c) -1/3 (d) -3 (e) -0.1 (f) 1477 (g) 0.4
b
Which is the biggest value? (a) 5 (b) 72/11 (c) -0.01 (d) 0.2 (e) 95.5 (f) 0.1
e
Which is the third smallest value? (a) 1852 (b) 3/7 (c) -8 (d) 5/4
d
What is the fifth biggest value in -11, 0.01, 1/7, 9, 1910/3?
-11
What is the fifth smallest value in -13635970, 1, -2, -5, -1/4?
1
Which is the seventh biggest value? (a) -3 (b) -9 (c) -99 (d) 2 (e) 6 (f) -2/9 (g) 0.612
c
What is the seventh biggest value in -2, 0.4, 2/9, -5/6, -244, 1/2, 19?
-244
Which is the second smallest value? (a) 1/5 (b) 3644 (c) 29 (d) 25
d
Which is the smallest value? (a) -34 (b) 127309 (c) 3
a
Which is the fourth biggest value? (a) -1/5 (b) -33/5 (c) -0.61 (d) -477/2
d
What is the fourth biggest value in -0.08, -246, 0, 9953?
-246
Which is the third biggest value? (a) 2 (b) 406 (c) 0 (d) 1 (e) -5 (f) -2/13
d
Which is the sixth biggest value? (a) -28 (b) -38 (c) -6 (d) 1/4 (e) 0.2 (f) 0.1704 (g) 0
a
What is the sixth smallest value in 0.1, -9/47, 0.21, 1, -21, -2, -4?
0.21
What is the smallest value in 29, -10, -20, 2/7, -6?
-20
Which is the second biggest value? (a) 12 (b) 68/3 (c) -23403
a
What is the biggest value in 0, -807, 322, 1?
322
What is the smallest value in -26, 3/16, -67/44?
-26
What is the fifth smallest value in 3/44, 30, 2/3, 9/4, -364?
30
What is the third biggest value in -10, -2/13, 3.4, -10/159?
-2/13
What is the biggest value in 1, -0.56, -132154?
1
Which is the third biggest value? (a) -0.3 (b) 355/2 (c) 0 (d) -4/571 (e) 0.2
c
What is the fifth smallest value in -8, -4484, -2, 3, 0, 0.08?
0.08
Which is the third biggest value? (a) 0.18 (b) -2532 (c) -520 (d) 2/7 (e) -1/10
e
Which is the second smallest value? (a) 0.2 (b) 4 (c) 1 (d) 3693/76 (e) 0.01
a
What is the fourth smallest value in 3.5, -2230, -69.7, 5?
5
What is the third biggest value in 65, 7, -450, 2/7?
2/7
Which is the biggest value? (a) -3/211 (b) 3/2 (c) 0.1 (d) 1/11 (e) 0.4 (f) -3/5 (g) -9
b
What is the sixth biggest value in 2/11, -1/3, 0.18, 6, 5/8, 0.11, 1?
0.11
Which is the third smallest value? (a) -6 (b) 4 (c) 2/7 (d) 7288
b
Which is the third biggest value? (a) 1 (b) 0 (c) 401 (d) 0.07 (e) 5 (f) -2/9 (g) 4
g
Which is the third smallest value? (a) -1 (b) -0.602024 (c) 1/6 (d) 2 (e) 1
c
What is the seventh smallest value in -8, 18, -3, -2/29, -13, -5, 3.4?
18
Which is the second smallest value? (a) 1.45 (b) -12/11 (c) -0.5 (d) -1/722
c
What is the fourth biggest value in 8/7, -2/13, -0.4, 6, 616?
-2/13
What is the fourth smallest value in -0.0371, 14, 29, 2/107?
29
What is the seventh smallest value in 5, -4, -3, -138, 3/7, 6, 17?
17
Which is the third smallest value? (a) 997 (b) 4 (c) -1/2 (d) -3 (e) -0.2
e
Which is the second biggest value? (a) -3 (b) -30 (c) -0.06 (d) 26 (e) 0.951 (f) -5
e
Which is the biggest value? (a)
|
{
"pile_set_name": "DM Mathematics"
}
|
.726
Work out -0.4 + -3.204.
-3.604
Work out 31365 + 0.2.
31365.2
Total of 1478 and -1207.
271
21 - -5.74
26.74
What is -0.0442 + -5?
-5.0442
-4 - 0.213073
-4.213073
Add together -529.497 and 5.
-524.497
Subtract -15979 from -0.0391.
15978.9609
What is -5271 plus -1.07?
-5272.07
What is 0.1 - 241.8?
-241.7
What is -602 plus -162?
-764
Add -6 and 470050.
470044
What is -11434 - 4?
-11438
Put together 24 and -158232.
-158208
Subtract 0.8 from -1.2757.
-2.0757
Subtract 0.5 from 58920.
58919.5
What is 108 less than -241?
-349
537.6 - -1.1
538.7
What is 21 + -94?
-73
Calculate -2.49 - -236.
233.51
-5497140 - 1
-5497141
What is -2.8 take away -0.068?
-2.732
Work out 217.2 + 113.
330.2
Work out 8.4 - 18.71.
-10.31
Sum 1.2035 and -16.
-14.7965
0.6241 - 0.3
0.3241
Calculate -42 - 0.37.
-42.37
What is 0.00753531 plus 4?
4.00753531
10469+8
10477
What is -719805 + -2?
-719807
0.3 + -4.856
-4.556
Add 0.5 and -5.9.
-5.4
Total of 0.3521 and -3.47.
-3.1179
Add together 18 and -76.06.
-58.06
Sum -218702 and 0.02.
-218701.98
Add together 3 and -97.422.
-94.422
Work out -0.1 + 1231.
1230.9
What is -29.5249 minus 3?
-32.5249
What is -3 + -358873?
-358876
What is the distance between 0.119374 and -1.1?
1.219374
1.2 + -0.353
0.847
What is -57 plus -1511?
-1568
Total of 31 and 109.
140
-0.02489 - -3
2.97511
What is 354 - -3.89?
357.89
-3 + 0.1627964
-2.8372036
-638.61 + 0.3
-638.31
What is 0.15702 take away 5?
-4.84298
Put together 0.2 and 29.8.
30
Total of 4.54 and 0.3.
4.84
What is -0.4 - 5860?
-5860.4
Total of -170 and 0.1.
-169.9
Subtract -150.56 from -0.09.
150.47
5.69 - -0.4
6.09
Calculate -0.4 + 589.99.
589.59
-2422.18 + -10
-2432.18
What is -5650 minus 4?
-5654
Total of 1426816 and 2.
1426818
What is the distance between 15.714 and 0.4?
15.314
-7 - 5939
-5946
What is 0.06 minus -5?
5.06
Add 25 and -0.4.
24.6
What is 1.528 less than -70?
-71.528
What is -13.4 plus 5.549?
-7.851
Work out -76116 + -42.
-76158
-0.1 - 3.609
-3.709
Calculate 0.2 + 20189.
20189.2
0.2 - -0.874
1.074
Work out 27 + -1810.2.
-1783.2
65430.7+-4
65426.7
Subtract 22.25 from -9.
-31.25
Calculate -547696 + 0.1.
-547695.9
What is -2.81 + -11860?
-11862.81
Add together 0.3 and -5.405.
-5.105
Calculate 640.6 - -100.
740.6
Total of 7 and -113.352.
-106.352
-2.68 - -6.7
4.02
0.03051 + -1
-0.96949
What is 0.1 plus -173?
-172.9
Total of -1551257 and 0.5.
-1551256.5
Calculate -257801 - 8.
-257809
Calculate 1.611 + 0.1106.
1.7216
What is -3540 + 0.3?
-3539.7
What is -22463 - -2.91?
-22460.09
Put together -0.0323206 and -3.
-3.0323206
Subtract 176 from 80.
-96
-1.26 + 36
34.74
What is -0.12 take away -0.2748?
0.1548
Sum -12 and -125319.
-125331
25+59
84
2 + -1377
-1375
Calculate -15 + -72.7.
-87.7
What is 0.3 - -1904277?
1904277.3
Subtract -0.118 from -18.
-17.882
What is the difference between -119.5 and 2.3?
121.8
Sum -5586.109 and -0.5.
-5586.609
Add -882 and 41.
-841
Sum -2 and 700.
698
Total of -0.12 and -25528.
-25528.12
Add -5 and 481.15.
476.15
1+1325.16
1326.16
Total of 2.2 and 139.
141.2
Total of 4 and 1739.
1743
What is -218 minus 4?
-222
1.01489+0.2
1.21489
-801.82 - 0.6
-802.42
Calculate -0.032 - -34.
33.968
0.054067 + 0.01
0.064067
What is the distance between -103.7 and 31?
134.7
What is 0.432 less than 21.7?
21.268
What is the difference between -54 and 0.03362?
54.03362
What is -119.813 take away -0.2?
-119.613
Put together -0.01 and 1.77.
1.76
What is 0.2123 + -45.6?
-45.3877
-251+-0.037
-251.037
What is 0.6 - 2328487?
-2328486.4
Add together 2538 and 0.3.
2538.3
What is the distance between 2741 and 11?
2730
What is 4 less than -4111?
-4115
-3+-1279
-1282
What is 0.4 less than -113912?
-113912.4
Calculate 1.049 - -0.10795.
1.15695
Work out -121083 - 0.5.
-121083.5
Total of -5038444 and -0.5.
-5038444.5
What is -64.67 + 14.3?
-50.37
-198+-3449
-3647
What is -391679 plus 0.11?
-391678.89
What is -1.05 take away 8.4?
-9.45
Add together 1 and 412.
413
-139.4 - -6
-133.4
Total of 2076411 and -0.3.
2076410.7
Sum -0.608 and -113.
-113.608
Total of 4 and -3.07.
0.93
Work out 62 - -24670.
24732
What is the difference between -8218 and 4?
8222
What is 0.3 minus -3.5247?
3.8247
Put together 1 and 0.0874.
1.0
|
{
"pile_set_name": "DM Mathematics"
}
|
-182/3 + 60. Let r = 13.5 - -76.5. Let i = 78 - r. Which is the third biggest value? (a) m (b) 2/7 (c) i
c
Let t = -1726 + 1828.1. Let l = 102 - t. Suppose -3*c + 5*c + 3*m = -2, 2*c - 4*m - 12 = 0. What is the second biggest value in l, c, 1?
1
Let y = -0.85 - -7.87. Let l = 2.02 - y. Let q be (-35)/(-84) + 1/3. What is the third smallest value in q, l, -1/4, 1?
q
Let q = 10/99 - -365/1287. Let n = -14/65 - q. Which is the fourth biggest value? (a) 0.23 (b) -5 (c) 1/3 (d) n
b
Let g be (13 - 12)/(-85 - -2). What is the third smallest value in 2/11, -4/19, 0.4, g, 4/3?
2/11
Let x = 9.158 - 8.968. What is the third biggest value in x, 0.4, 3/10?
x
Suppose -44*q = -72 + 147 - 75. What is the third biggest value in 0.1, 0.033, -5/3, q, 7?
0.033
Let v = -436 + 445. Suppose 4*z = 8*z - v*z. What is the smallest value in -1, -0.5, z, 11?
-1
Let i = 44/3 + -223/15. Let d = 82.94 - 83. Let o = 110 + -326/3. What is the third biggest value in o, 5, i, d?
d
Let p = -0.2942 - 0.0628. What is the smallest value in 0.4, p, -0.4?
-0.4
Let z = -1 - -3. Let u = -461.637 + 465.637. Which is the smallest value? (a) z (b) u (c) -4/3
c
Let r(y) = y**3 + 17*y**2 - 15*y + 55. Let g be r(-18). Let x = -69 + 68. Which is the third biggest value? (a) g (b) 7 (c) x
c
Let p(k) = -21*k - 88. Let d be p(-8). Let q be d/(-84) - (-16)/24. Which is the third smallest value? (a) -3/7 (b) q (c) -0.59
b
Let s be (-2)/(-38) + (-3828)/(-22572). Which is the smallest value? (a) 0 (b) s (c) -1/2
c
Let u = 18040 - 18041. Which is the fourth smallest value? (a) 2 (b) 357 (c) u (d) 1/7
b
Let o = -382 + 383.73. Let a = o - 11.73. What is the third smallest value in 2, -3, a?
2
Let g = -1 + 0.5. Let w = 6/1165 - 2384/10485. Which is the third biggest value? (a) g (b) -3 (c) w (d) -0.1
a
Let l = 161.39 + -162.39. Let h = -1 - -15. What is the biggest value in h, l, -2?
h
Let t be ((-143)/33)/(10/9 - 1). Let h be t + (1 - 1) + 3. Let g be (1/3)/(-5 - 150/h). What is the biggest value in g, -1, 1/6?
1/6
Let v = 6806 + -6802. Which is the smallest value? (a) 0.068 (b) 5 (c) v
a
Let u = 0.0093 + 56.2907. Let s = 56.43 - u. Which is the third biggest value? (a) 0.2 (b) -1 (c) s (d) 0
d
Let o be (-1)/6*(20/(-120) - (-10)/(-12)). What is the third smallest value in -51, -3/8, o?
o
Let x = 605.49 + -600. Let v = 5.59 - x. Which is the third biggest value? (a) 3 (b) -0.01 (c) 0.4 (d) v
d
Let l(r) = 249*r - 2491. Let u be l(10). Which is the third smallest value? (a) 1 (b) 70 (c) u
b
Let f be (-27)/(-18) + (-237)/150. What is the smallest value in -98, f, -4?
-98
Suppose 2328 = 4*j - 5*h, 1757 = 3*j + 32*h - 33*h. Let r = -584 + j. What is the smallest value in 0.3, r, 7, -0.1?
-0.1
Let w = -2561.1 + 2561.1. Which is the third smallest value? (a) -1/3 (b) w (c) 49
c
Let q = -3 + -12.02. Let y = -15 - q. Let m = -315 + 314.8. Which is the third smallest value? (a) y (b) m (c) -2 (d) 0.5
a
Let r = 673 + -672.9844. Let m = r - 0.4156. Which is the third smallest value? (a) -2/15 (b) m (c) 4 (d) 2/7
d
Suppose -3*z = z. Let a = 21373 + -21372.9. Suppose 5*o = -2 + 7. What is the biggest value in z, a, o, 0.7?
o
Let m = -2.09715 - -0.09715. Which is the fourth smallest value? (a) 11 (b) m (c) -57 (d) 3
a
Let n be (7 - 563136/(-238)) + -2 + 96/51. Which is the smallest value? (a) n (b) -3 (c) 3/2 (d) 0
b
Let x = 0.5704 - -0.4296. What is the biggest value in -14, -0.1, x?
x
Let j = -4775 + 28645/6. Which is the third smallest value? (a) 2/5 (b) -3/2 (c) 0.1 (d) -1 (e) j
e
Let n(h) = -h - 5. Let k(z) = 11*z + 289. Let l(u) = k(u) + 4*n(u). Let t be l(-38). Which is the smallest value? (a) 40 (b) 3/4 (c) t (d) -1
d
Let s = 2/2011 + 4016/6033. What is the second biggest value in -0.5, 32, s, -1?
s
Let l be (6 + -3 - 1)/((-52)/1738). Let h = 67 + l. Let t = -0.06 - -0.21. Which is the second smallest value? (a) -3 (b) t (c) h
b
Let i = 109.3 - 195.15. Let g = -1.15 + i. Let q = g - -89. Which is the smallest value? (a) q (b) 15 (c) 5
a
Let k = -2 - -6. Let v be 14*(6/4 - 2). Let g = k + v. What is the second biggest value in g, 5, -1/3?
-1/3
Let t = 89 + -88.6. Suppose -3*k - 2*g = -137, -g - 51 = 2*k - 141. Suppose -3*z = -37 + k. Which is the fourth smallest value? (a) -10 (b) z (c) 2/9 (d) t
d
Let q = -36.25 + 33.25. Which is the second biggest value? (a) -0.2 (b) q (c) 2 (d) -1.66 (
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*q + v, 0 = -5*a + q - 30. What is x(a)?
18
Let c(h) = 3*h**2 - 2*h - 3. Suppose 5*n = -2*b + 8, 14*b + 4*n - 5 = 11*b. Determine c(b).
2
Let f(d) = 7*d**3 - 11*d**2 - 8*d + 7. Let a(q) = 6*q**3 - 10*q**2 - 8*q + 7. Let y(b) = 6*a(b) - 5*f(b). Let g be 9/((-1)/6*27/(-3)). Calculate y(g).
-5
Let j be 2/4 + (-20)/8 - 13. Let d be ((-6)/(-15))/((2 - 3)/j). Let i(x) = -2*x + 6. What is i(d)?
-6
Let g(f) = -f + 12. Suppose -36 = 7*z - 11*z. What is g(z)?
3
Let q(h) = -37*h + 105. Let u(p) = 12*p - 37. Let b(z) = 6*q(z) + 17*u(z). What is b(2)?
-35
Suppose 0 = -14*k - 37 - 89. Let g(c) = -2*c - 9. Determine g(k).
9
Let b(w) be the third derivative of -w**6/120 - 2*w**5/15 - w**4/12 - w**3/3 - 4*w**2 + 91*w. What is b(-8)?
14
Let u(b) = -b**2 + 6*b. Let j = 76 - 71. Suppose 15 + 20 = j*m. What is u(m)?
-7
Let u(k) be the first derivative of k**5/60 + k**4/12 + k**3/3 - 2*k**2 - 13. Let y(l) be the second derivative of u(l). Determine y(-2).
2
Let w be (-4)/(3 + -1) + 15. Let b(v) = -4 - w*v + 3*v + v**2 + v. Determine b(6).
-22
Let b(u) = 2*u - 4. Let s(f) = -f. Let w(d) = -b(d) - 4*s(d). Suppose -11 = -5*q + 9. Determine w(q).
12
Let t(i) = i**2 - 6*i - 7. Let x be (-8)/6 + (-3 - 251/3). Let y = x + 95. Give t(y).
0
Let s(i) = i**3 - 12*i**2 + 2*i + 3. Let f(c) = -10*c**2 + 2*c + 3. Let d(l) = -5*f(l) + 4*s(l). Give d(-2).
-23
Suppose -2*g + 4*g = 4*b - 2, 0 = 2*b + 2*g - 16. Let u = 21 - 10. Let c(a) = -10*a + 3*a + 3*a**2 + u*a - a**3 - 4. Determine c(b).
8
Let s(n) = -3*n - 135 + 73 + 51. What is s(-9)?
16
Let j(d) be the second derivative of -d**3/2 - 15*d**2/2 - 2*d + 65. What is j(-4)?
-3
Let q(z) = z**3 - 2*z**2 - 4*z + 2. Let x be q(3). Suppose -12 = -o - 5*k, -2*o - 3*k = -5*o. Let r(i) = -3*i + 2*i**o + i - 5*i**2 + 0 - 1. Determine r(x).
-2
Let z be 1/(3/(-2))*-9. Suppose q + 0 = z. Let p(v) = -13*v**2 + 7 - 12*v**2 - 4*v**2 + 30*v**2 - 2 - 6*v. Give p(q).
5
Suppose -38 = 9*a + 97. Let i = 13 + a. Let h(r) = -r**2 - 4 - 2 - 3*r + 3. Give h(i).
-1
Let c(x) = 3*x**2 - 29*x + 53. Let d(q) = q**2 - 10*q + 17. Let b(k) = 2*c(k) - 7*d(k). What is b(10)?
7
Suppose -4*g + 4*u - 4 = 0, -6*u - 7 = -g - u. Let o(j) = j**3 + 4*j**2 - 5*j - 13. Let d(y) = -y**2 - y - 1. Let s(x) = g*d(x) + o(x). What is s(-7)?
4
Suppose 8*d + 90 = 194. Let h(v) = v**3 - 14*v**2 + 12*v + 16. Give h(d).
3
Let h(m) = m**2 - 2*m - 4. Let a(x) = 35*x**2 + 3*x - 1. Let c be a(1). Suppose -77 = -4*q - 5*k, q + k - c = -q. Let d = q + -14. Calculate h(d).
4
Let h(x) = 12*x**2 + 9*x + 38. Let v(c) = -17*c**2 - 14*c - 57. Let a(b) = -7*h(b) - 5*v(b). Give a(-5).
9
Let j(a) = a - 1. Let f(k) = k**2 + 4*k. Let c(u) = f(u) - 6*j(u). Let x be (6 + -5)/((-42)/24) + (-64)/(-14). Determine c(x).
14
Let p(h) be the first derivative of -h**3/3 - 7*h**2/2 - 6*h + 6. Calculate p(-5).
4
Let b(y) = 14*y - 11. Let o(i) = -3*i + 2. Let a(u) = 2*b(u) + 11*o(u). Let j(t) = -6*t. Let m be j(1). Let n = 5 + m. Calculate a(n).
5
Let h(n) = -13*n**2 + n. Let f(c) = -15*c**2 + c. Let d(m) = -6*f(m) + 7*h(m). Suppose 0 = -4*s + 2*s + 6. What is d(s)?
-6
Let l(i) be the first derivative of -i**3/3 - i + 83. Calculate l(-3).
-10
Let o(m) be the second derivative of -m**6/120 - m**5/10 + m**4/3 + 5*m**3/6 + m**2/2 - 4*m. Let g(n) be the first derivative of o(n). Give g(-7).
-2
Let y(t) = -1. Suppose -h - 4*h - 75 = 0. Let p(g) = -3*g + 12. Let b(w) = h*y(w) - p(w). What is b(-2)?
-3
Let l(c) = 2*c**3 - c**2 + 3*c - 2. Let g be (-1)/(11/(0 - 11)). Calculate l(g).
2
Let v(c) = c + 6. Let u(i) = -i - 3. Let b(k) = -5*u(k) - 4*v(k). Give b(8).
-1
Let z(k) be the second derivative of -5*k**3/6 - 3*k**2/2 + k - 40. Suppose 0 = -2*u + 3*i + 1, 2*u = -4*i + i - 17. Determine z(u).
17
Suppose -3*f + 3*g = 34 - 10, -f + 5*g = 20. Let d(u) = -u + 12. What is d(f)?
17
Suppose 0 = h - 7 - 3. Suppose -h - 112 = 2*k - d, -3*d = -6. Let l be (-1 - 0
|
{
"pile_set_name": "DM Mathematics"
}
|
ommon factor of 216 and 783.
27
What is the highest common divisor of 332 and 20?
4
Calculate the highest common divisor of 143 and 22.
11
What is the highest common divisor of 144 and 6096?
48
Calculate the highest common divisor of 38 and 380.
38
What is the highest common divisor of 16 and 9032?
8
What is the highest common divisor of 527 and 17?
17
Calculate the highest common divisor of 56 and 9072.
56
What is the greatest common divisor of 24 and 29208?
24
What is the greatest common divisor of 303 and 9797?
101
Calculate the highest common factor of 39 and 13182.
39
Calculate the highest common divisor of 51 and 12189.
51
What is the greatest common factor of 30017 and 13?
13
What is the highest common factor of 20234 and 453?
151
Calculate the greatest common divisor of 2028 and 576.
12
Calculate the greatest common divisor of 48 and 114.
6
Calculate the highest common factor of 108 and 1260.
36
What is the highest common divisor of 424 and 288?
8
Calculate the greatest common divisor of 29 and 27637.
29
What is the highest common factor of 24 and 1668?
12
Calculate the greatest common factor of 17089 and 23.
23
What is the highest common factor of 3 and 4?
1
What is the highest common divisor of 399 and 1425?
57
Calculate the greatest common divisor of 7807 and 259.
37
What is the greatest common factor of 3980 and 40?
20
What is the greatest common divisor of 252 and 52?
4
What is the greatest common factor of 980 and 20?
20
Calculate the greatest common divisor of 722 and 266.
38
What is the greatest common divisor of 708 and 21004?
236
Calculate the greatest common divisor of 11 and 539.
11
Calculate the highest common divisor of 6920 and 280.
40
What is the highest common divisor of 19 and 589?
19
What is the greatest common divisor of 90 and 54?
18
Calculate the highest common factor of 738 and 234.
18
What is the greatest common factor of 750 and 90?
30
Calculate the highest common divisor of 2587 and 559.
13
Calculate the highest common factor of 250 and 440.
10
Calculate the greatest common divisor of 256 and 16.
16
What is the greatest common factor of 15903 and 62?
31
Calculate the highest common divisor of 243 and 891.
81
What is the greatest common divisor of 7 and 21?
7
What is the highest common divisor of 160 and 20480?
160
What is the highest common divisor of 6 and 20?
2
What is the highest common divisor of 325 and 26?
13
Calculate the greatest common factor of 8 and 1.
1
Calculate the greatest common factor of 544 and 1360.
272
Calculate the greatest common factor of 3350 and 1072.
134
What is the greatest common divisor of 112 and 96?
16
What is the greatest common factor of 330 and 451?
11
What is the greatest common divisor of 375 and 105?
15
What is the greatest common divisor of 1028 and 4?
4
Calculate the highest common divisor of 583 and 159.
53
Calculate the highest common factor of 1521 and 819.
117
What is the greatest common divisor of 554 and 34?
2
Calculate the greatest common factor of 4216 and 68.
68
What is the greatest common factor of 100 and 75?
25
Calculate the highest common divisor of 2449 and 248.
31
Calculate the greatest common factor of 170 and 3264.
34
Calculate the greatest common divisor of 15 and 255.
15
What is the highest common divisor of 40 and 25?
5
What is the greatest common divisor of 26 and 650?
26
What is the highest common factor of 737 and 22?
11
What is the highest common factor of 112 and 4648?
56
Calculate the greatest common divisor of 169 and 39377.
169
What is the highest common divisor of 48 and 2?
2
Calculate the greatest common divisor of 13302 and 36.
18
What is the greatest common divisor of 280 and 448?
56
Calculate the highest common factor of 93 and 341.
31
Calculate the greatest common factor of 7378 and 714.
238
What is the greatest common divisor of 14396 and 488?
244
Calculate the highest common divisor of 96 and 664.
8
What is the greatest common divisor of 6726 and 177?
177
What is the highest common factor of 45 and 9?
9
What is the greatest common divisor of 56 and 728?
56
Calculate the greatest common divisor of 152 and 2375.
19
Calculate the highest common divisor of 15 and 40.
5
Calculate the greatest common divisor of 155 and 31.
31
Calculate the greatest common divisor of 4223 and 82.
41
What is the greatest common divisor of 174 and 522?
174
Calculate the greatest common divisor of 24876 and 72.
36
What is the highest common divisor of 166 and 1079?
83
Calculate the greatest common divisor of 3 and 128.
1
Calculate the highest common divisor of 56 and 6.
2
What is the highest common divisor of 288 and 112?
16
What is the highest common factor of 285 and 30?
15
Calculate the greatest common divisor of 456 and 24.
24
What is the greatest common divisor of 24 and 147?
3
Calculate the highest common factor of 24 and 8.
8
Calculate the highest common factor of 2534 and 14.
14
Calculate the greatest common divisor of 12833 and 41.
41
Calculate the greatest common divisor of 9478 and 14.
14
Calculate the highest common factor of 533 and 26.
13
What is the greatest common divisor of 459 and 27?
27
Calculate the greatest common factor of 2865 and 75.
15
Calculate the greatest common divisor of 28 and 294.
14
What is the greatest common factor of 782 and 23?
23
Calculate the greatest common divisor of 25 and 242.
1
What is the greatest common divisor of 21746 and 786?
262
Calculate the highest common divisor of 754 and 4234.
58
What is the greatest common divisor of 1212 and 12?
12
Calculate the greatest common factor of 2013 and 66.
33
What is the highest common divisor of 8 and 536?
8
What is the greatest common divisor of 392 and 49?
49
What is the highest common divisor of 7275 and 873?
291
Calculate the highest common divisor of 99 and 18.
9
Calculate the greatest common divisor of 5071 and 143.
11
What is the highest common factor of 405 and 16767?
81
What is the greatest common divisor of 104 and 676?
52
Calculate the greatest common factor of 130 and 40.
10
What is the highest common factor of 121 and 484?
121
Calculate the highest common factor of 6 and 946.
2
Calculate the highest common factor of 1001 and 33.
11
What is the highest common divisor of 312 and 64?
8
What is the greatest common divisor of 66 and 2046?
66
What is the greatest common factor of 1120 and 35?
35
Calculate the highest common divisor of 604 and 2567.
151
Calculate the highest common factor of 288 and 3936.
96
What is the greatest common divisor of 1472 and 115?
23
What is the highest common factor of 29 and 551?
29
What is the highest common divisor of 36 and 3036?
12
Calculate the highest common divisor of 5539 and 955.
191
Calculate the highest common divisor of 34 and 850.
34
What is the highest common factor of 4 and 15640?
4
What is the highest common divisor of 1485 and 770?
55
What is the greatest common factor of 196 and 1344?
28
Calculate the greatest common divisor of 85 and 391.
17
What is the greatest common factor of 152 and 2698?
38
What is the highest common factor of 19 and 570?
19
Calculate the highest common divisor of 3397 and 43.
43
What is the highest common factor of 32 and 36?
4
What is the greatest common factor of 41 and 656?
41
What is the highest common factor of 23 and 6394?
23
What is the greatest common factor of 1360 and 289?
17
Calculate the greatest common divisor of 12 and 132.
12
Calculate the highest common factor of 24 and 984.
24
Calculate the greatest common divisor of 25 and 2.
1
What is the highest common divisor of 413 and 14?
7
What is the highest common divisor of 192 and 336?
48
Calculate the greatest common divisor of 344 and 16.
8
What is the highest common factor of 1056 and 12?
12
Calculate the greatest common factor of 276 and 759.
69
What is the greatest common divisor of 2880 and 96?
96
Calculate the highest common factor of 21 and 162.
3
What is the greatest common factor of 370 and 2664?
74
What is the highest common factor of 38880 and 160?
|
{
"pile_set_name": "DM Mathematics"
}
|
0 = -2*j + 6. Suppose 5*f - 80 = -5*o, 2*f - i = -2*f - 2*o. Calculate the remainder when (-154)/(-4) - (-2)/(-4) is divided by f.
12
Let t = -8 + 11. What is the remainder when t*118*4/24 is divided by 30?
29
Let o(i) = 2*i - 4. Let y(a) be the second derivative of 13*a**3/6 + a**2 + 2*a. Calculate the remainder when y(2) is divided by o(7).
8
Let z(y) = -7*y**3 + y**2 - y + 1. Let q be z(1). Let i(x) = 2*x**2 + 3*x + 2. What is the remainder when i(q) is divided by 19?
18
Let h(j) = -3*j - 2. Let w be h(-2). What is the remainder when 7 is divided by (2 - w) + 12/2?
3
Let u(o) = -5*o + 0 + 5 + o**2 + 0*o. What is the remainder when u(7) is divided by 7?
5
Suppose -4*n + 12 = -2*n. What is the remainder when 29 is divided by n?
5
Suppose 0 = 4*s - 3*s - 6. Suppose 0*n - 198 = -s*n. Calculate the remainder when 98 is divided by n.
32
Suppose 3*p - 3*t - 24 = 0, -3*t - 3 - 1 = p. Let r(n) = -n**3 + 9*n**2 - 2*n + 3. What is the remainder when r(p) is divided by 24?
21
Let v be (-1)/(-3) + 14/(-6). Suppose 0*z - 80 = -4*z. Calculate the remainder when (-4 + 2)*59/v is divided by z.
19
Let c(h) = -1 - 2 + h + 0 + 4*h**2 - h**3. What is the remainder when 17 is divided by c(3)?
8
Calculate the remainder when 81 is divided by (-8)/(-6)*126/14.
9
Let n be 1*(-3 - (-2 + 1)). What is the remainder when -2*(n + 76/(-8)) is divided by 8?
7
Suppose 2*k = 4*a + 18, 3*k - 6 - 12 = -3*a. What is the remainder when 18 is divided by k?
4
Let p = 6 - 3. Suppose 0*v = p*v - 66. What is the remainder when v is divided by 2 - (1 + -1*11)?
10
Suppose 6 = o - 8. Suppose -3*r + 9*h + o = 4*h, -5*r + 5*h + 20 = 0. What is the remainder when 11 is divided by r?
2
Suppose 5 = 4*n + 1. Let a be 3 + 5/((-15)/(-6)). Suppose a*l - 2 = 8. Calculate the remainder when l is divided by n.
0
Let f(y) = y**2 + 23*y + 4 - 23*y. Suppose 4*z = -1 + 25. Calculate the remainder when f(z) is divided by 14.
12
Suppose -5*v = -w - 4*w + 100, -3*w = -4*v - 60. Suppose 4*c = 4*g - 0*g - 28, 4*c = -w. What is the remainder when 6 is divided by g?
0
Suppose -5*u + 2*t + 141 = -64, 5*t + 25 = 0. Calculate the remainder when u is divided by 8.
7
Suppose 5*m + 4*f = 105, 4*m + 7 - 100 = -5*f. Calculate the remainder when 65 is divided by m.
14
Let s = 71 - 57. What is the remainder when 69 is divided by s?
13
Calculate the remainder when 19 is divided by -4*(-9)/36*4/1.
3
Suppose -3 = j + 1. Let v = j - -9. Suppose p + v*z + 0 = 3, 0 = 3*p - z - 25. Calculate the remainder when 31 is divided by p.
7
Let j(b) = -b - 4. Calculate the remainder when j(-6) is divided by 1 + 0/(2 - 3).
0
Let s(h) = 5*h**2 + h + 6. Calculate the remainder when s(3) is divided by 11.
10
Suppose -8*x = -45 - 3. What is the remainder when 14 is divided by x?
2
Let j(o) = o**3 - o**2 - o + 45. What is the remainder when 87 is divided by j(0)?
42
Suppose 0 = 2*l - 5*l + 60. Let a(s) = 15*s - 2. What is the remainder when a(4) is divided by l?
18
Suppose 2*i - d + 5*d = 6, -5*i + 3*d = 11. Let n(o) = 4*o**3 - o**2 + 1. Calculate the remainder when 3/12*(27 - i) is divided by n(1).
3
Let u(t) = -t**3 - 5*t**2 - 4. Let b be u(-4). Calculate the remainder when 15 is divided by (b/15)/(1/(-3)).
3
Suppose 12 = -6*v + 9*v. What is the remainder when (-1)/((v/(-13))/4) is divided by 4?
1
Let c = -53 - 23. Let z = -42 - c. What is the remainder when z is divided by 12?
10
Suppose -1 = -2*b + 35. Suppose d = 4*d + 45. Let l = d - -25. What is the remainder when b is divided by l?
8
Let l(z) = z**2 - 5*z + 2. Calculate the remainder when l(9) is divided by 13.
12
Let f(k) = k**2 - 2. Let a be f(2). Suppose -s + 2 = 3, -2*l - 2*s = a. Calculate the remainder when 6*((-6)/(-9) - l) is divided by 2.
0
Suppose 3*q - 5*p + 333 - 92 = 0, q = p - 77. Let s be q/16 - 1/2. Let b = 4 - s. What is the remainder when 25 is divided by b?
7
Let o(m) = 4*m + 3. Let g(w) = w + 1. Let a(k) = -3*g(k) + o(k). Let n(p) = -8*p + 1. What is the remainder when n(-1) is divided by a(5)?
4
Let g(u) = u + 24. What is the remainder when 47 is divided by g(0)?
23
Let c(i) = i**3 - 5*i**2 + 7*i. Suppose 23 = 5*b - 2. What is the remainder when c(b) is divided by -15*(0 + 4/(-5))?
11
Let j = 2 - 1. What is the remainder when 46 is divided by 4/(-8)*(-24)/j?
10
Let f = 1 - -2. Suppose -5*i = -3*s - 0*i + 5, -2*i + 19 = f*s. Suppose -s*r + 148 = -r. What is the remainder when r is divided by 13?
11
Suppose 47 = 4*a - 3*l, 6*l - 28 = -3*a + l. What is the remainder when 53 is divided by a?
9
Let j(m) = -m - 2. Suppose -10 = 3*o + 2*x, 0 = 3*o + x + 3 + 2. Let g be j(o). Calculate the remainder when (-1)/g + 57/6 is divided by 4.
2
Let u be -10 + -1 - 0/1. Let g = 10 + u. What is the remainder when 22 is divided by 9 + -1 + 1 + g?
6
Suppose 0 = 2*f - 5*f + 51. What is the remainder when 29 is divided by f?
12
Let p(o) = -o**2 + 14*o + 4. Calculate the remainder when 43 is divided by p(13).
9
Suppose 3*w = -4*r - 14, 2*r - 3 = w + 3*r. Suppose -w*b = 5*k - 141, -k + 60 = k - b. What is the remainder when k is divided by 15?
14
Let v(q) = -2*q + 5. Let h be v(6). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
is 3 - -452323500?
452323503
In base 8, what is -115 + 45063566?
45063451
In base 12, what is b4 - -48928?
48a20
In base 13, what is -747418 + -5?
-747420
In base 3, what is -222100 - -200220020?
122220220
In base 10, what is 3639146 - 2?
3639144
In base 8, what is -25416 - 145?
-25563
In base 7, what is 1265 - 1566?
-301
In base 8, what is -46 - 4162630?
-4162676
In base 3, what is 11210210222101 + -222?
11210210221102
In base 14, what is -8486d7 + 1d?
-8486b8
In base 2, what is 111010010 - 1010101111101000001?
-1010101110101101111
In base 5, what is -2 + 1221110342?
1221110340
In base 4, what is 313201312302 + -12?
313201312230
In base 7, what is -535 + -1324040?
-1324605
In base 2, what is 111 + 11010010000001010001?
11010010000001011000
In base 5, what is -3 - -1222333243?
1222333240
In base 11, what is -4 + -a958484?
-a958488
In base 6, what is -135 - 25430335?
-25430514
In base 7, what is -2 - -400422403?
400422401
In base 13, what is 5a76a1aa + -2?
5a76a1a8
In base 3, what is -202112210020 - -1200?
-202112201120
In base 3, what is 10220111110201022 - -12?
10220111110201111
In base 10, what is 999 + -63900?
-62901
In base 7, what is -2214433 + -632?
-2215365
In base 8, what is 1 + -212303761?
-212303760
In base 7, what is -131163 - -244?
-130616
In base 4, what is -20110 + 2103322?
2023212
In base 8, what is 37 - -355627?
355666
In base 4, what is 31020 - -10002?
101022
In base 15, what is 3eb - -371b?
3b17
In base 6, what is -15004134223 + 2?
-15004134221
In base 16, what is b - -69cf17?
69cf22
In base 11, what is -3464aa88 - -2?
-3464aa86
In base 2, what is 11 - 1001011101110110001010101110?
-1001011101110110001010101011
In base 9, what is 15855 + -23504?
-6538
In base 5, what is 3303002401 + -2?
3303002344
In base 7, what is -403654 - -13?
-403641
In base 7, what is -521 + -21656653?
-21660504
In base 5, what is -203004 + 42141?
-110313
In base 2, what is 1011100111011 + -1010001010101?
1011100110
In base 3, what is -100010122002 + 102021?
-100010012211
In base 6, what is -12 - -124432122?
124432110
In base 7, what is -335636 + -4560?
-343526
In base 12, what is -7 + 672b0?
672a5
In base 2, what is 111000110101 - -111001101?
1000000000010
In base 7, what is 341125151 - 14?
341125134
In base 16, what is -1197 + -a1?
-1238
In base 3, what is 1200211 - -220002002211?
220010210122
In base 6, what is -2 + -3533451?
-3533453
In base 9, what is -581672 + -22?
-581704
In base 13, what is 185918 - -10?
185928
In base 10, what is -5831 - -107?
-5724
In base 12, what is -12 + 4227a6?
422794
In base 6, what is -213 + 11401420?
11401203
In base 10, what is -1151 + -555373?
-556524
In base 12, what is -615560 + 1?
-61555b
In base 5, what is 10 + -313114032411?
-313114032401
In base 5, what is 341231 - 201233?
134443
In base 9, what is -2406356 + -5?
-2406362
In base 3, what is -1200 + -11212200202202?
-11212200211102
In base 12, what is 10b73 - 507b?
7ab4
In base 13, what is 1 + 3b96b053?
3b96b054
In base 16, what is -2100c2 - 2?
-2100c4
In base 15, what is 0 - dd80a4a?
-dd80a4a
In base 5, what is -43234 + 240124?
141340
In base 3, what is -1002111212220012 - -100?
-1002111212212212
In base 7, what is -43132642 - -3?
-43132636
In base 2, what is 1000011111 - -1101010111011?
1110011011010
In base 11, what is -102124 + 38?
-102097
In base 11, what is 10734 - -10508?
21141
In base 13, what is 2 + 148114b?
1481150
In base 8, what is 252031 - 1525?
250304
In base 10, what is -35023 - 1372?
-36395
In base 12, what is 1b5440225 + 5?
1b544022a
In base 7, what is -5634143 - 101?
-5634244
In base 7, what is 1306 + -532014?
-530405
In base 15, what is 7 - -21aadab?
21aadb3
In base 10, what is 198999 - -42?
199041
In base 14, what is 2 + c8d27a?
c8d27c
In base 6, what is -12 + 4340143214?
4340143202
In base 7, what is 1332 + -134122?
-132460
In base 2, what is -101 - 10011011001110110010111?
-10011011001110110011100
In base 12, what is -21a95 - 29?
-21b02
In base 10, what is 29285 - -52?
29337
In base 13, what is 1398bc277 - -4?
1398bc27b
In base 10, what is -1 + -1950115?
-1950116
In base 13, what is -7 - 2c3759?
-2c3763
In base 8, what is -451601 - 1204?
-453005
In base 4, what is -1110320 - -132023?
-312231
In base 4, what is 22112112110023 - -2?
22112112110031
In base 12, what is -64163785 - -1?
-64163784
In base 7, what is 1115 + 3136233?
3140351
In base 7, what is -12 + -202443413?
-202443425
In base 3, what is -12220 - 1022200120210?
-1022200210200
In base 15, what is -b0 + 2840?
2780
In base 15, what is 16422 - 78?
16399
In base 16, what is 3d - -245969?
2459a6
In base 15, what is -7623dc - -e?
-7623cd
In base 10, what is 90900 - -607?
91507
In base 12, what is 35b07 - -154?
3605b
In base 2, what is 100 + -10000111000011100111110000110?
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.29 - 0.71. Which is bigger: i or -17?
i
Let k(j) = 3*j**2 - j. Let i be k(1). Let n be i - (-2 - -3)*9. Which is bigger: -1/4 or n?
-1/4
Let f = -47/184 - -3/23. Suppose -1 - 3 = -4*t. Is f < t?
True
Let w = -9 - -4. Let x = -12 - -21. Let l = -10 + x. Which is smaller: l or w?
w
Let l be 4/(-2) - 320/(-162). Which is smaller: l or 0?
l
Let w = -12 - -82/7. Let h be -1 - -1 - (-30)/5. Let u be h/21 + (-24)/35. Is w at most as big as u?
False
Let d(v) = -v + 15. Let g be d(11). Let p be ((-3)/(-2))/(g/8). Suppose 0*c - 2*f = 3*c - 19, 2*c - 5*f + 19 = 0. Is c < p?
False
Let b = -10607/5 + 2113. Is b <= -9?
False
Suppose -n - 3*f = 27, 0*n + 3*n + 5*f + 61 = 0. Let v be 9/(-12)*(-4)/n. Is 1/4 less than v?
False
Let y = -25.04 - -22. Let h = y - -0.04. Which is smaller: h or 1?
h
Suppose 0*n - 24 = -6*n. Suppose -3*g - 30 = -t - t, -n*t = 12. Is -11 > g?
True
Let g = -0.9 - 0.1. Suppose 4*j - 4 - 4 = 0. Suppose -2*o = -j - 2. Which is smaller: g or o?
g
Let x be -3 - 2/(-6)*403. Let m = 127 - x. Which is smaller: -4 or m?
m
Let a = 232/187 + -18/17. Suppose -2*m - 5 = -4*d + m, -4*d - 5*m = -45. Suppose 3*q = 5*t - 7, 0 = d*t - 5*q - 0*q - 15. Which is smaller: a or t?
t
Suppose 0 = p - 6*p. Suppose 27 = -5*m + 7. Is p at most m?
False
Suppose 0 = -l - 4*n - 11, 3*l + 4*n = n - 6. Is l greater than 3/11?
True
Suppose 2*p + w = 2322, 3*p - 2*w + 0*w - 3490 = 0. Let f = 3361/3 - p. Let t = -491/12 - f. Which is smaller: 2 or t?
t
Let w = -5 - 12. Let h = -9 - w. Let n be 2/(-6)*h/12. Which is smaller: n or -1?
-1
Let y(d) = -d + 27. Let x be y(26). Which is smaller: x or -1/49?
-1/49
Let m be 0*(40/(-15) + 3). Are m and -2/679 equal?
False
Let p = -54 + 109. Let m be p/(-60) + (-2)/(-3). Is m at most 1?
True
Let l(s) = -s**3 + 6*s**2 + s - 6. Let b be l(6). Let n be (-349)/(-3) + (-1)/3. Let u = -1046/9 + n. Is u bigger than b?
False
Let b = -0.9 - -0.7. Which is greater: 0 or b?
0
Let z = 2 + -2. Suppose b + b = z. Which is bigger: -0.1 or b?
b
Let x = -54 + 29. Let l = x + 17. Let f be 14/(-8) - (-2)/l. Is f bigger than -2?
False
Let i = -10 + 12. Let p = 2/125 - -371/250. Which is bigger: i or p?
i
Let w be 2/(-5) + 91/(-35). Let k be w/(-6)*(-1 - -3). Which is smaller: 0.06 or k?
0.06
Let l = 81.9 + -82. Is l at least 0.56?
False
Let f(x) = -7*x + 13. Let d(b) = 3*b - 7. Let a(o) = 9*d(o) + 4*f(o). Let w be a(-7). Are w and -4 equal?
True
Suppose s - 2 = -0*s. Let l be (1 + 0)/2*s. Which is bigger: 1/9 or l?
l
Let c = -20 + 58/3. Let a = -23.3 - -30. Let q = 7 - a. Which is smaller: q or c?
c
Let t = 4.18 + -4. Let g = t + -0.08. Let b = 127/3 + -883/21. Is g smaller than b?
True
Let i = 62 - 45. Is i at least as big as 16?
True
Let i = -108 + 106. Is -1 >= i?
True
Let z be 18/(-72) - (-53)/180. Does z = 0?
False
Let u be 1/1*(1 - 0). Let s(l) = -l**3 + l - 1. Let t be s(u). Let i be (0 - t)*(-2)/4. Does i = 0?
False
Let p be 2 - 3/(-6)*(-110)/33. Suppose 4*r = -r - 5*b, -r + 3*b + 4 = 0. Do r and p have different values?
True
Let r = -3588/17 - -211. Which is smaller: r or 0?
r
Suppose 0 = 4*w - 3*n - 19, 4*w + 19 = 5*n + 48. Let p be (1 - -2)*w/(-7). Suppose 2*b = 4*b. Which is bigger: b or p?
b
Suppose 5*n = -0*n + 25. Suppose 4*w = -j - j - 4, n*j + 10 = 2*w. Which is greater: 0 or j?
0
Let y = 5 - 4.6. Let u = -1.4 + 0.8. Let f = y + u. Is 0.1 greater than f?
True
Let z = 119 + -112. Are 2 and z non-equal?
True
Let l = -7 + 3. Let r = l - -3. Let f be -1 + (-3)/9*-1. Is r less than or equal to f?
True
Let x be 3 + 0 - (-1 - -1). Is x smaller than 5?
True
Let t be -1*0/(-1)*-1. Let l = -4/97 + -376/291. Is l greater than t?
False
Suppose 9*l = 14*l. Let a(u) = 2*u**3 + u**2 + u + 1. Let h be a(-1). Which is smaller: l or h?
h
Suppose -3*b = 3*b + 6. Which is bigger: -15/7 or b?
b
Let y be 5/((-2)/2 + 3 + -1). Let u(h) = h**3 + 6*h**2 - 3*h - 9. Let l be u(-6). Suppose 0 = -3*v - 2*t + 16, 2*v + t = 1 + l. Which is greater: v or y?
y
Let v = 63 - 55. Is v not equal to 3?
True
Suppose -2*n - 1 - 9 = 0. Is -5 greater than n?
False
Let s = -257/2 - -131. Let m = -2 + 2.1. Which is greater: s or m?
s
Let t(c) = c**3 + c**2 - c + 1. Let h be t(-2). Let r be (-6 - 0)*1*1. Let y be (2/(-4))/(21/r). Is h > y?
False
Let i = -6 - -18. Let x = 12.1 - i. Let h = 967/9 - 107. Is h at most x?
False
Suppose 3*c + 3*n - 24 = 0, -4*c = -5*n + 3*n - 8. Which is smaller: 9 or c?
c
Let n = -256/435 - 1/87
|
{
"pile_set_name": "DM Mathematics"
}
|
= -0.109 - -4.109. Let i = -222 + 1551/7. Let s = 15248/9 + -1694. Which is the fourth biggest value? (a) h (b) 0.4 (c) i (d) s
c
Let q = -3.97494 - 0.02506. What is the third biggest value in q, 4, 5/8, 0.2?
0.2
Let b = -123 + 144. Let o = 0.286 - 3.286. What is the second smallest value in 4, o, b?
4
Suppose 8*g - 6*g = -2*z + 54, g + 1 = 0. Let k be ((-105)/z)/(15/(-10)). Which is the second smallest value? (a) k (b) 1.3 (c) 2
c
Suppose 5*h = -2*a + 155, 2*h + 0*h + 5*a - 83 = 0. Let q = h - 33. Suppose -p + 21 = 22. What is the third smallest value in 3, 0, p, q?
0
Let r = 11/316 - -577/1580. What is the fourth biggest value in -0.2, r, -4.8, -2?
-4.8
Let v be 0 + 1 + 18/(-21). Let w = -1.226 + 1.026. Which is the smallest value? (a) v (b) -0.4 (c) 1.3 (d) w
b
Let r(n) = 13*n**2 - 7*n + 2. Let z be r(2). Let g be 4/z*5 - (-93)/(-162). Which is the second smallest value? (a) -2/11 (b) 0.2 (c) g
c
Let t be (-2)/7 + 582/(-21). Let o be (-21)/(-24)*8/t. Let y = -4 + 14. What is the third smallest value in y, -3, o, -2/3?
o
Let t be (-3 - -52)/(-7) + (10 - 3). Which is the second smallest value? (a) t (b) -8.1 (c) -1
c
Let x = -211.7 + 215.7. What is the smallest value in -2810/9, x, -2?
-2810/9
Let t = -22.18 - -24.18. Let r = -1.71 + 1.71. Which is the fourth biggest value? (a) r (b) 4 (c) t (d) -33
d
Let a = -10 - -6. Let s = 1.61 + -2.61. What is the second biggest value in a, s, 0.2, -3/2?
s
Let m = 10384/5 + -2070. Let d = m - 6. Let u = d + -21/20. What is the smallest value in -5, -2, -4, u?
-5
Let w be (78/(-19) - 380/(-3610))/(4/(-2)). Which is the second smallest value? (a) -2 (b) 1 (c) 193 (d) -0.2 (e) w
d
Let f = 152.54 - 1.54. Let k = f + -156. Let h = -1 + 1.5. Which is the second smallest value? (a) h (b) -2/15 (c) k
b
Let i = -0.68504 + 0.28504. What is the fourth biggest value in 3/2, i, -11/34, -0.3?
i
Let f = -223 + 227. Let k be 3/(6/f) + (-1 - 6). Which is the smallest value? (a) k (b) 0.4 (c) 0
a
Let u be 5/(-4) - 3/12. Let h = -13.943 + 12.743. What is the second smallest value in 2, h, u?
h
Let u = -105.2 + 135. Let w = u + -24.8. Let j = 14.8 + -16. Which is the second smallest value? (a) 5/4 (b) j (c) w
a
Let q = -236910/17 + 13936. What is the second biggest value in 3/23, -2/9, q, -181?
q
Suppose -3*g + 2*w + 0*w = 1, 3*g + 3*w = -21. Let o = -6354/7 + 908. What is the smallest value in o, -6, g?
-6
Suppose 361*p - t + 19 = 366*p, 4*t = -2*p + 40. Let n = -2 + 2.02. What is the biggest value in n, p, 0.4, 2/3?
p
Let n be (1/5)/((-4)/12). Let k = 4.3 + -210.3. Let c = k - -206. What is the fourth smallest value in c, 3, n, 0.5?
3
Let v(z) be the first derivative of 2/3*z**3 - 3/2*z**2 - 7 + 4*z - 1/4*z**4. Let r be v(2). Which is the biggest value? (a) r (b) 2 (c) -3
b
Let d be ((-4486)/(-14))/(4 - 3). Let v = d - 321. Let a = 26526 - 132628/5. What is the second biggest value in v, a, 1, -2/3?
a
Let v = -12436 - -12472. Which is the second smallest value? (a) -1 (b) -0.5 (c) 6 (d) v
b
Let n = -6491/1732 + -1/433. Let o = 69058 - 69063. Which is the fourth biggest value? (a) n (b) 1/3 (c) o (d) -2
c
Let y = -0.05 + 0.08. Let l = 82543 + -82542.9. What is the biggest value in y, 0, l?
l
Let i = -349 + -54. Let p = -412 - i. Which is the fourth smallest value? (a) p (b) -2/7 (c) -0.3 (d) 0.5
d
Let g = -223.16 - -217. Let q = -5.5 - g. Let y = -0.76 + q. Which is the third smallest value? (a) y (b) 4 (c) -0.4 (d) -4
a
Let h = 35239/20 - 1762. What is the third biggest value in -5, 0, h, -3?
-3
Let x = -26 + 59. Let k = x + -37. Let b = -113 + 120. What is the second smallest value in k, 0.5, b?
0.5
Let w = -360 + 373. Suppose w*q = -4 - 48. Which is the biggest value? (a) 234 (b) -0.2 (c) q
a
Let n = -139/360 - 1/72. Let x = -31 - -30. Which is the smallest value? (a) x (b) -0.05 (c) n
a
Let y = -4065.476 - -4066. What is the biggest value in y, -4, 0, 3?
3
Let z(f) = -f. Let c be z(2). Let s = -0.029 + 6.329. Let o = 7.3 - s. What is the third smallest value in o, c, 2/11?
o
Let v = 1345 + -1341.9. Which is the fourth smallest value? (a) -2 (b) -2/7 (c) -6 (d) v
d
Let n = -265/8 + 1333/40. Which is the fourth biggest value? (a) -5 (b) n (c) -3/4 (d) 0 (e) 0.04
c
Let n = 0.36 + -48.36. Let u = -48.3 - n. Suppose -5*l - 2*d = -0*d - 11, -l - 3*d - 3 = 0. What is the third smallest value in u, l, -16?
l
Let h = -0.17 - -0.37. Let g = 5754 - 5756
|
{
"pile_set_name": "DM Mathematics"
}
|
replacement from uvhu.
1/12
What is prob of sequence ddri when four letters picked without replacement from rrriidiiiiiiidi?
1/546
Three letters picked without replacement from {e: 2, v: 1, j: 1, n: 6, q: 4, f: 4}. What is prob of sequence nfv?
1/204
Calculate prob of sequence ctb when three letters picked without replacement from dvcpbpdt.
1/336
Three letters picked without replacement from {z: 3, g: 2, w: 10, f: 1, c: 1, e: 2}. Give prob of sequence fee.
1/2907
What is prob of sequence qq when two letters picked without replacement from {p: 2, o: 3, z: 1, q: 3, k: 1}?
1/15
Calculate prob of sequence yy when two letters picked without replacement from {y: 2, o: 5}.
1/21
Three letters picked without replacement from {o: 3, g: 3, v: 4, m: 6, b: 2}. What is prob of sequence gbm?
1/136
Three letters picked without replacement from ttll. Give prob of sequence llt.
1/6
Calculate prob of sequence rr when two letters picked without replacement from {v: 5, r: 11}.
11/24
Three letters picked without replacement from {q: 1, w: 14}. Give prob of sequence wwq.
1/15
Four letters picked without replacement from {z: 3, i: 9}. Give prob of sequence zziz.
1/220
Calculate prob of sequence hhb when three letters picked without replacement from hhbbhbhbbbhbbhbhhbh.
40/323
Three letters picked without replacement from {p: 1, b: 2, o: 1, l: 1, j: 1, w: 1}. Give prob of sequence olw.
1/210
Two letters picked without replacement from {j: 3, k: 2, y: 4, s: 1, h: 1, d: 1}. What is prob of sequence jy?
1/11
What is prob of sequence iro when three letters picked without replacement from {i: 1, o: 2, d: 1, r: 2}?
1/30
Calculate prob of sequence gpp when three letters picked without replacement from capagkgpgakgga.
5/1092
Four letters picked without replacement from tptttttppttttttppt. Give prob of sequence ttpp.
13/306
Calculate prob of sequence zdz when three letters picked without replacement from {d: 3, z: 11}.
55/364
Two letters picked without replacement from kjjtkhjkkkkkkjjktht. Give prob of sequence hh.
1/171
Three letters picked without replacement from {o: 1, x: 14}. Give prob of sequence xxo.
1/15
What is prob of sequence nx when two letters picked without replacement from {n: 1, q: 2, x: 1}?
1/12
Four letters picked without replacement from {t: 6, c: 4, w: 3}. Give prob of sequence ccwc.
3/715
Calculate prob of sequence vaaa when four letters picked without replacement from {v: 7, a: 6}.
7/143
Calculate prob of sequence ui when two letters picked without replacement from igglavvlu.
1/72
Calculate prob of sequence qhd when three letters picked without replacement from ddkdhdfdqkhdddkdddkc.
11/3420
What is prob of sequence hrt when three letters picked without replacement from {u: 11, h: 1, r: 1, d: 4, f: 1, t: 1}?
1/5814
What is prob of sequence bcb when three letters picked without replacement from cbcb?
1/6
Four letters picked without replacement from aecceoaccccwec. What is prob of sequence ocoo?
0
Two letters picked without replacement from {p: 7, g: 1, s: 2}. What is prob of sequence gp?
7/90
What is prob of sequence aap when three letters picked without replacement from pppapapa?
5/56
What is prob of sequence ngcg when four letters picked without replacement from {g: 10, n: 1, c: 8}?
5/646
Four letters picked without replacement from {s: 1, h: 2, j: 1, z: 4, u: 1}. Give prob of sequence hzuh.
1/378
Three letters picked without replacement from {m: 7, v: 2, w: 5}. Give prob of sequence mwv.
5/156
Calculate prob of sequence jjj when three letters picked without replacement from {j: 4, l: 3, i: 4, h: 2, p: 2, t: 3}.
1/204
Two letters picked without replacement from {m: 6}. Give prob of sequence mm.
1
Calculate prob of sequence cw when two letters picked without replacement from bwbbcrxxbdcbw.
1/39
Three letters picked without replacement from {v: 1, u: 18}. What is prob of sequence uuv?
1/19
Calculate prob of sequence bb when two letters picked without replacement from {b: 2, v: 1, z: 2}.
1/10
What is prob of sequence wv when two letters picked without replacement from {n: 2, v: 6, w: 2, g: 2}?
1/11
Calculate prob of sequence ggg when three letters picked without replacement from gggggggggg.
1
Two letters picked without replacement from vvpvvpvvpepee. Give prob of sequence ep.
1/13
Calculate prob of sequence hbwr when four letters picked without replacement from bbhhrw.
1/90
What is prob of sequence eed when three letters picked without replacement from iietddvddddtttde?
1/240
Calculate prob of sequence yrw when three letters picked without replacement from {w: 1, r: 1, y: 2, l: 1}.
1/30
Calculate prob of sequence gq when two letters picked without replacement from ggqggggggggqgqgqgggg.
16/95
Four letters picked without replacement from {j: 9, u: 6, q: 2, c: 1}. What is prob of sequence juqc?
1/680
What is prob of sequence rlrr when four letters picked without replacement from {r: 3, l: 1}?
1/4
What is prob of sequence rddd when four letters picked without replacement from rrkddrrdkdrkrdnrrk?
1/153
What is prob of sequence uuii when four letters picked without replacement from {i: 3, u: 13}?
3/140
Two letters picked without replacement from eddhheweeege. Give prob of sequence gh.
1/66
What is prob of sequence jjv when three letters picked without replacement from {v: 1, e: 1, z: 4, j: 3, m: 2}?
1/165
Calculate prob of sequence ttt when three letters picked without replacement from {t: 7, m: 1, y: 2, x: 2}.
7/44
What is prob of sequence kf when two letters picked without replacement from {f: 3, k: 1}?
1/4
What is prob of sequence mscc when four letters picked without replacement from mmmmsmcmms?
0
What is prob of sequence vvv when three letters picked without replacement from {r: 3, v: 4}?
4/35
Two letters picked without replacement from fadafdfffazjza. Give prob of sequence zf.
5/91
What is prob of sequence im when two letters picked without replacement from {i: 2, m: 1, j: 4}?
1/21
Four letters picked without replacement from dkdkkd. Give prob of sequence kkdd.
1/10
Four letters picked without replacement from lsileseslsecrls. Give prob of sequence lill.
1/1365
Calculate prob of sequence if when two letters picked without replacement from kkikikkffkhkckkikhf.
1/38
Three letters picked without replacement from {t: 1, b: 3}. Give prob of sequence bbt.
1/4
Calculate prob of sequence nfnq when four letters picked without replacement from {m: 1, f: 1, n: 2, q: 1}.
1/60
Three letters picked without replacement from {c: 4, k: 4, q: 3, o: 4}. What is prob of sequence kko?
8/455
Calculate prob of sequence xrl when three letters picked without replacement from uuqurqquqluxxuq.
1/1365
Two letters picked without replacement from lbcqp. Give prob of sequence bl.
1/20
Calculate prob of sequence kda when three letters picked without replacement from {d: 1, j: 1, k: 2, a: 2}.
1/30
Two letters picked without replacement from {x: 3, g: 4}.
|
{
"pile_set_name": "DM Mathematics"
}
|
i be u(1). Suppose 4*y - 4 = i. Suppose 4*h - 72 = y. What are the prime factors of h?
19
Let l(g) = 21*g**2 - 14*g + 46. What are the prime factors of l(5)?
3, 167
Suppose i + 0*i - 6 = -2*d, -4*i = d + 11. Let k(n) = 11*n**2 - 2*n + 35. List the prime factors of k(d).
2, 3, 5
Let m(z) = 2*z**2 + z**2 + 11 + z**3 + 10*z**2 + 9*z - 3. What are the prime factors of m(-11)?
151
Suppose 2*r + 0*g - 6 = g, 0 = -4*r - 4*g + 36. Suppose 4*l - r = 4*a + 191, -2*a + 90 = 2*l. List the prime factors of l.
47
Let p = 1218 - 521. What are the prime factors of p?
17, 41
Let u(r) = r**2 - 8*r + 9. Let s be u(7). Let y(t) = -13*t + 2. Let m be y(s). List the prime factors of 1*-2 + m/(-4).
2
Suppose 0 = 7*r + 9*r - 4512. What are the prime factors of r?
2, 3, 47
Suppose 29*t = 1006 + 12015. What are the prime factors of t?
449
Let j(c) = -5*c - 12. Let t be j(-8). Suppose 11*q - t = 9*q. List the prime factors of q.
2, 7
Suppose 21*d - 2512 = -139. What are the prime factors of d?
113
Suppose 0*y = -2*y + 5*c + 193, 2*y - c = 205. List the prime factors of y.
2, 13
Let a(u) = u**2 - 8*u - 5. Let h be (-2)/4 - (-14)/(-4). What are the prime factors of a(h)?
43
Let v(b) = -5*b**2 - 8*b - 12. Let k be v(-2). List the prime factors of (0 - -78) + (-19 - k).
3, 5
Suppose 2044 = 4*i - 4*t, 5*i + t - 2366 = 183. List the prime factors of i.
2, 3, 5, 17
Let o = -23 + 23. Suppose o = 5*s, -5*s - 12 = g - 2*s. What are the prime factors of (7/(-4))/(1/g)?
3, 7
Let j(z) = -20*z - 1. Let p be j(7). Let f = p - -67. Let w = -24 - f. List the prime factors of w.
2, 5
Suppose 64 = -8*q - 48. Let b = q + 39. What are the prime factors of b?
5
Let q be 16/(-10) + 10/(-25). Let t(v) = v**2 + 5*v + 2. Let x be t(q). Let r = x - -8. What are the prime factors of r?
2
Let t(k) = k + 11. Let x(u) = -u - 11. Let l be x(-6). Let z be t(l). Suppose 6*f - 3*q = f + 42, -3*f - 3*q + z = 0. What are the prime factors of f?
2, 3
Suppose -39*h + 29*h + 5640 = 0. What are the prime factors of h?
2, 3, 47
Suppose 4*j + 5 = 5*j. Suppose j*r = 3*b + 247, -r - 2*b + 55 = 3*b. List the prime factors of r.
2, 5
Suppose 4*a = -a. Let s(c) = c**2 + 22. Let v be s(a). Let x = -15 + v. List the prime factors of x.
7
Let u(s) = 1846*s**2 - 28*s - 1. What are the prime factors of u(-1)?
1873
Suppose 0 = 4*j - 2*u - 5120, -6*j - 2*u + 1285 = -5*j. What are the prime factors of j?
3, 7, 61
Let x = 451 - 95. What are the prime factors of x?
2, 89
Suppose -610 - 214 = -8*n. Let j = n - 28. List the prime factors of j.
3, 5
Suppose 4*d + 2*d - 4008 = 0. List the prime factors of d.
2, 167
Suppose -3*k = -8*k - 35. Suppose 0*q - 16 = 4*q. Let v = q - k. What are the prime factors of v?
3
Let l = 4 + -5. Let w be (1/l)/((-1)/(-3)). Let s(i) = -i**3 - i**2 + 3*i - 3. What are the prime factors of s(w)?
2, 3
Suppose -47 = k + 4*f - 137, 2*k + 3*f = 185. Let z = -59 + k. List the prime factors of z.
5, 7
Let m be (-21)/(-5) + (-1)/5. Suppose -2 = 6*x - m*x. Let g(q) = 26*q**2 - 3*q - 1. List the prime factors of g(x).
2, 7
Let a = -7 + 1. Let m be (a/2)/3*5. List the prime factors of m + 4 + -1 + 16.
2, 7
Suppose -24*q + 4745 + 5263 = 0. List the prime factors of q.
3, 139
Let t be 4/(-5) + ((-16)/(-20) - 1). Let p = 375 - 265. List the prime factors of (p/(-33))/(t/6).
2, 5
Let m(d) = 4*d**2 - 11*d + 58. What are the prime factors of m(10)?
2, 3, 29
Let j(s) = 5*s**3 - 2*s**2 - s + 1172. List the prime factors of j(0).
2, 293
Let s(r) = 23*r + 55. What are the prime factors of s(0)?
5, 11
List the prime factors of (-57874)/(-30) + (-17)/((-2040)/(-16)).
3, 643
Let o(w) = 9*w - 3. Let v be o(-3). Let z(h) = h**3 - 13*h**2 + 9*h - 27. Let t be z(12). Let s = v - t. List the prime factors of s.
3, 11
Suppose -14 + 55 = 5*k - 4*g, 0 = -4*k - 5*g. Suppose -2*y + k*s - 100 = 0, 0*s + 3*s - 288 = 5*y. Let v = y - -115. List the prime factors of v.
5, 11
Suppose -68*i + 78*i = 2650. What are the prime factors of i?
5, 53
Let r(w) = -199*w + 98. List the prime factors of r(-10).
2, 3, 29
Let f(t) = 5*t + 39. Let o be f(0). Suppose -3*m + 12 = -o. What are the prime factors of m?
17
Let x be 11 - 3/15*0. Let z(p) = 2*p**2 - 6*p - 13. List the prime factors of z(x).
163
Let a = 62 - 33. Let g = a - 21. List the prime factors of g.
2
Suppose -3*t = 3*i - 300 - 330, 0 = -4*i + 20. Suppose -t = 12*s - 1429. List the prime factors of s.
2, 3, 17
Let q = 1945 - 1022. List the prime factors of q.
13, 71
Suppose -2*j + 8 + 82 = -2*b, 4*b - 220 = -4*j. Suppose -j*d + 750 = -45*d. List the prime factors of d.
2, 3, 5
Suppose 0 = 3*v - 8 - 4. Suppose 0 = -v*a - 10 + 34. What are the prime factors of a*((-63)/(-6) - 2)?
3, 17
Let j(s) = 5*s**2 - 8*s - 4. Let o be j(6). Let f = o -
|
{
"pile_set_name": "DM Mathematics"
}
|
der when 406445307 is divided by 10?
7
Calculate the remainder when 61000542 is divided by 146.
136
Calculate the remainder when 2306096 is divided by 1003.
199
What is the remainder when 83832 is divided by 41382?
1068
What is the remainder when 3894504 is divided by 133?
131
Calculate the remainder when 14591756 is divided by 858338.
10
What is the remainder when 9504447 is divided by 530?
487
What is the remainder when 7366469 is divided by 2986?
7
Calculate the remainder when 24652067 is divided by 219.
113
What is the remainder when 25374 is divided by 4871?
1019
Calculate the remainder when 408241 is divided by 4295.
216
Calculate the remainder when 267204 is divided by 2489.
881
Calculate the remainder when 901418 is divided by 76.
58
Calculate the remainder when 8004514 is divided by 1143502.
0
Calculate the remainder when 35808590 is divided by 671.
4
Calculate the remainder when 14394996 is divided by 162.
0
Calculate the remainder when 4760747 is divided by 1586910.
17
Calculate the remainder when 6899390 is divided by 18.
8
Calculate the remainder when 20395185 is divided by 44.
41
What is the remainder when 91787262 is divided by 64?
62
What is the remainder when 554175 is divided by 387?
378
What is the remainder when 177049 is divided by 3479?
3099
Calculate the remainder when 296438016 is divided by 1580.
1576
What is the remainder when 742521 is divided by 61876?
9
Calculate the remainder when 2615632 is divided by 1063.
652
What is the remainder when 20281 is divided by 6289?
1414
Calculate the remainder when 35062935 is divided by 262.
261
Calculate the remainder when 1058090 is divided by 10077.
5
What is the remainder when 5202950 is divided by 58?
2
What is the remainder when 452619 is divided by 3688?
2683
What is the remainder when 3359 is divided by 644?
139
Calculate the remainder when 1412177 is divided by 148.
109
What is the remainder when 302807 is divided by 151375?
57
What is the remainder when 331361 is divided by 66268?
21
What is the remainder when 151042546 is divided by 292?
290
Calculate the remainder when 37027920 is divided by 248.
32
What is the remainder when 167035 is divided by 483?
400
What is the remainder when 2414641 is divided by 154?
75
What is the remainder when 40694 is divided by 714?
710
What is the remainder when 1183897 is divided by 591925?
47
What is the remainder when 33381 is divided by 16642?
97
Calculate the remainder when 4528507 is divided by 1611.
1597
Calculate the remainder when 1338241 is divided by 1439.
1410
Calculate the remainder when 329936 is divided by 305.
231
Calculate the remainder when 9767331 is divided by 2569.
2562
Calculate the remainder when 999586 is divided by 499781.
24
Calculate the remainder when 6073189 is divided by 962.
83
Calculate the remainder when 78774 is divided by 15.
9
What is the remainder when 22714 is divided by 22144?
570
Calculate the remainder when 1241289 is divided by 248253.
24
What is the remainder when 4461 is divided by 2112?
237
What is the remainder when 6465212 is divided by 17?
10
Calculate the remainder when 18606 is divided by 3510.
1056
Calculate the remainder when 1681389 is divided by 1104.
1101
Calculate the remainder when 4467797 is divided by 8351.
12
Calculate the remainder when 2187105 is divided by 546722.
217
Calculate the remainder when 36527 is divided by 4519.
375
Calculate the remainder when 239041457 is divided by 6.
5
What is the remainder when 139884 is divided by 46621?
21
Calculate the remainder when 59406802 is divided by 18.
16
What is the remainder when 2425665 is divided by 46?
39
What is the remainder when 186961822 is divided by 13?
8
Calculate the remainder when 1382222 is divided by 460732.
26
Calculate the remainder when 58509 is divided by 5312.
77
Calculate the remainder when 223899 is divided by 223879.
20
Calculate the remainder when 29978620 is divided by 467.
22
Calculate the remainder when 30644046 is divided by 1590.
1566
What is the remainder when 444765 is divided by 4?
1
Calculate the remainder when 152126 is divided by 13618.
2328
Calculate the remainder when 1168298 is divided by 77.
54
What is the remainder when 153612 is divided by 12781?
240
Calculate the remainder when 367952528 is divided by 110.
108
Calculate the remainder when 19266609 is divided by 48.
33
Calculate the remainder when 204970 is divided by 68016.
922
Calculate the remainder when 1221631 is divided by 18.
7
Calculate the remainder when 2295666 is divided by 62.
54
What is the remainder when 1999508 is divided by 605?
588
What is the remainder when 971461 is divided by 4727?
2426
What is the remainder when 1277952 is divided by 102?
96
Calculate the remainder when 76643 is divided by 25155.
1178
What is the remainder when 45602834 is divided by 1685?
1679
Calculate the remainder when 30183 is divided by 5999.
188
What is the remainder when 5021919 is divided by 19?
10
Calculate the remainder when 1989408 is divided by 707.
617
What is the remainder when 1611695 is divided by 208?
111
Calculate the remainder when 5548956 is divided by 37.
29
Calculate the remainder when 657153 is divided by 64.
1
What is the remainder when 75073 is divided by 181?
139
What is the remainder when 1811500882 is divided by 12972?
12970
What is the remainder when 8656593 is divided by 2164148?
1
Calculate the remainder when 90405 is divided by 1352.
1173
What is the remainder when 30838 is divided by 5128?
70
What is the remainder when 702593 is divided by 568?
545
Calculate the remainder when 22974 is divided by 269.
109
What is the remainder when 498141 is divided by 5355?
126
What is the remainder when 468575 is divided by 2798?
1309
Calculate the remainder when 3017520 is divided by 298.
270
What is the remainder when 5752060 is divided by 43576?
28
What is the remainder when 957127 is divided by 1028?
59
Calculate the remainder when 249990 is divided by 2828.
1126
What is the remainder when 111975 is divided by 362?
117
What is the remainder when 433380 is divided by 1027?
1013
Calculate the remainder when 1074139 is divided by 179023.
1
What is the remainder when 61105 is divided by 789?
352
What is the remainder when 105949829 is divided by 4567?
4563
Calculate the remainder when 86061 is divided by 1039.
863
What is the remainder when 50470 is divided by 192?
166
What is the remainder when 65461304 is divided by 77?
62
Calculate the remainder when 607717 is divided by 26.
19
What is the remainder when 17318 is divided by 23?
22
Calculate the remainder when 144546 is divided by 1690.
896
Calculate the remainder when 234104 is divided by 21277.
57
Calculate the remainder when 574989 is divided by 303.
198
Calculate the remainder when 11746635 is divided by 464.
11
What is the remainder when 10109 is divided by 7608?
2501
Calculate the remainder when 837891 is divided by 4433.
54
Calculate the remainder when 833871 is divided by 208458.
39
Calculate the remainder when 13602531 is divided by 209.
184
What is the remainder when 64212967 is divided by 568?
567
What is the remainder when 603253 is divided by 201080?
13
Calculate the remainder when 7011511 is divided by 1752861.
67
What is the remainder when 189630 is divided by 2673?
2520
What is the remainder when 2890211 is divided by 49?
44
What is the remainder when 596207 is divided by 595956?
251
What is the remainder when 17859274 is divided by 2748?
22
What is the remainder when 254175 is divided by 129?
45
Calculate the remainder when 38334 is
|
{
"pile_set_name": "DM Mathematics"
}
|
23*z**3 - 19*z + 9*z with respect to z.
69*z**2
Let g(r) be the second derivative of r**4/6 + 1948*r**3/3 - 3749*r**2 - 12*r + 25. Differentiate g(x) wrt x.
4*x + 3896
Let i(g) = 2*g - 1. Let r(s) = 3*s + 84. Let p be 6 + -14*6/12. Let y(w) = p*r(w) - 2*i(w). Find the first derivative of y(m) wrt m.
-7
Let v(d) = d**3 + 2. Let h = 767 + -768. Let m(z) = 113*z**3 + 135*z**2 - 6. Let p(k) = h*m(k) - 3*v(k). Find the third derivative of p(r) wrt r.
-696
Suppose 101 = -2*s + 85. Let n be (-6)/9*36/s + 4. Find the second derivative of n*m + 238 + 3*m + 34*m**2 - 238 wrt m.
68
Differentiate -21*y - 534 - 69 - y**3 - 222*y + 3*y**4 wrt y.
12*y**3 - 3*y**2 - 243
Suppose 11*d - 15 - 7 = 0. What is the second derivative of -331*h**d + 631*h**2 - 391*h**2 - 75*h wrt h?
-182
Let o(j) = -j + 16. Let i be o(0). Suppose 3*b - b + 4*u - 28 = 0, 0 = b - 4*u + i. What is the first derivative of 4*v**4 + 17 - 6*v**b + 11*v**4 wrt v?
36*v**3
What is the first derivative of -2*t**2 + 326 + 641 - 5*t + 494*t**3 - 6*t + 11*t wrt t?
1482*t**2 - 4*t
Let a(q) = q**3 + 4*q**2 - 8*q. Let t be a(2). Find the second derivative of 19*l - t*l + 11*l**2 + 107*l + 33*l**2 wrt l.
88
Let o(t) be the second derivative of -9/4*t**5 + 0*t**2 + 0*t**3 + 49*t + 2 - 17/3*t**4. Find the third derivative of o(w) wrt w.
-270
Let l(m) = -3*m**3 + 60*m**2 - m + 22. Let d be l(20). Find the third derivative of i**4 - 13*i**3 + 5*i**5 - 134*i**d - i**4 + 33*i**3 wrt i.
300*i**2 + 120
Let c(k) = 9*k**3 - 12*k**2 + 108*k + 5971. Let z(a) = -8*a**3 + 10*a**2 - 107*a - 5964. Let m(w) = -6*c(w) - 7*z(w). Differentiate m(x) wrt x.
6*x**2 + 4*x + 101
Let r = 145 - 80. Let u = -58 + r. Find the second derivative of 61*y**4 + u*y + 1 - 1 - 60*y**4 wrt y.
12*y**2
Let q(v) = v**2 + 10*v - 30. Let a be q(-15). Find the third derivative of 63*z**2 + 42*z - 109*z**2 - 237*z**3 + 130*z + a*z**2 wrt z.
-1422
Let j(r) = -7*r + 19*r - 17 + 8*r + 31. Let m(h) = 6*h - 6 + 11*h + 13 - 7*h. Let z(u) = 3*j(u) - 5*m(u). What is the derivative of z(y) wrt y?
10
Let j(l) = -8*l - 89. Let n be j(-22). What is the third derivative of 9*o**3 - n + 87 + 5*o**5 + o + 2*o**2 - 2*o wrt o?
300*o**2 + 54
Let j(u) be the third derivative of 0*u**4 - 10*u**2 + 167/120*u**6 + 0*u + 0*u**5 + 0 + 167/6*u**3. What is the first derivative of j(l) wrt l?
501*l**2
Let x(w) = 3 - w**3 + 0*w**2 + 3*w**2 + 2*w**3 - 2 - w**2. Let i(h) = 141*h**3 + 10*h**2 - 30. Let r(l) = -i(l) + 5*x(l). Differentiate r(t) wrt t.
-408*t**2
Let w(v) = 603*v**2 - 7*v - 19. Let j(x) = -603*x**2 + 8*x + 19. Let m(g) = 6*j(g) + 5*w(g). Find the second derivative of m(q) wrt q.
-1206
What is the third derivative of 41*z**4 + 12*z**4 - 16*z**2 + 5*z**5 + 170*z**4 - 7315*z**2 wrt z?
300*z**2 + 5352*z
Let u(h) = 41*h**2 + h - 964. Let d(v) = 38*v**2 - 964. Let f(l) = 4*d(l) - 5*u(l). Differentiate f(s) with respect to s.
-106*s - 5
Find the second derivative of 733124*o**2 + o + 304 - 731426*o**2 + 0*o wrt o.
3396
Let c be 14/2 - (-1)/(-1). Suppose 0 = c*w - 3*w - 369. Differentiate -17*d**2 - 36 + w - 40 - 38 with respect to d.
-34*d
Differentiate 355*v - 4846 - 211*v - 1038 + 419*v with respect to v.
563
Let u(o) be the third derivative of -o**7/105 + 18*o**5 - 3535*o**4/8 + 66*o**2 - 69*o. What is the second derivative of u(c) wrt c?
-24*c**2 + 2160
Let i be ((-10)/6)/((-17)/663). What is the derivative of -i + 33*m + 61*m + 24 + 4*m**2 - 40 - 2*m**2 wrt m?
4*m + 94
Let b(k) be the first derivative of -5/6*k**4 + 0*k**3 + 25 + 6*k**2 - 9*k. Let s(i) be the first derivative of b(i). Differentiate s(o) with respect to o.
-20*o
Let v(y) be the third derivative of -839*y**7/105 + 3299*y**3/6 - 141*y**2 - y + 9. What is the first derivative of v(r) wrt r?
-6712*r**3
Let d(j) be the third derivative of -4013*j**5/60 + 3883*j**3/6 + 12*j**2 - 3*j. What is the first derivative of d(h) wrt h?
-8026*h
Let f(y) = 1399*y**2 + 569*y - 3. Let m(s) = 100*s**2 + 1. Let q(n) = f(n) - m(n). Find the second derivative of q(x) wrt x.
2598
Suppose -61*o = 64*o - 130*o. Let z(k) be the second derivative of 0 - 10*k - 4/3*k**3 + 0*k**4 + o*k**2 + 1/4*k**5. Find the second derivative of z(t) wrt t.
30*t
Let p(n) be the first derivative of 481*n + 8 + 481/2*n**2. Let g(i) = -30*i - 30. Let t(y) = 65*g(y) + 4*p(y). Differentiate t(x) with respect to x.
-26
Find the third derivative of -1865*s**4 - 512*s
|
{
"pile_set_name": "DM Mathematics"
}
|
?
False
Suppose 6*a - 3*z = 5*a - 109, -z + 381 = -4*a. Let k = a + 217. Is k composite?
True
Is (-133188)/(-110) - (6/(-5) + 1) a composite number?
True
Suppose 0 = 5*z - 2*p + 1369 + 4745, 4*p = -3*z - 3684. Is z/54*6/(-4) a prime number?
False
Let f(b) = -4*b + 13816. Let s be f(0). Suppose 4*k - 2*x = s, 2*k = -3*k + x + 17273. Is k prime?
False
Is (21 - 19)*2638/4 composite?
False
Let y(a) = -3*a**3 + 2*a**2 - a - 2. Let v be y(-1). Is (-2)/4*(2 - (2732 - v)) a composite number?
True
Let j = 61505 + -43498. Is j composite?
True
Let v(g) = -61*g**2 - 15*g - 2. Let n(q) = 31*q**2 + 8*q + 1. Let c(z) = -11*n(z) - 6*v(z). Let b be c(-1). Let r = b - 14. Is r a composite number?
True
Let x = 15 - -33. Let p = x + 93. Is p composite?
True
Let i(n) = n + 36. Let x be i(-7). Suppose 28*m = x*m - 2843. Is m a prime number?
True
Suppose 4*c + 4*b = 2330 + 614, 2*c - 1470 = -b. Is c a prime number?
False
Let s be (-4)/14 - ((-36714)/21)/1. Suppose -2*f = -6*f + s. Is f prime?
False
Suppose -8*y + 15839 + 1401 = 0. Is y composite?
True
Let v(s) = -3*s - 7. Let w be v(-5). Let m(o) be the second derivative of o**5/10 - o**4/2 - o**3/3 - o**2/2 - 195*o. Is m(w) prime?
False
Let n be (12/8)/(2/4). Suppose i + 5*q - 8 = 0, -n*q + 8 = 3*i - 4*q. Suppose i*s - 78 = 81. Is s a prime number?
True
Suppose x - 1797 = 5*l + 1563, -3*l - 3370 = -x. Is x prime?
False
Let i be -20*(-1095)/2*(-3)/(-18). Let l = i - -612. Is l prime?
True
Let r(s) be the third derivative of 14*s**5/3 - s**4/6 - s**3/2 + 19*s**2. Is r(-4) composite?
False
Let r = 7677 + 2446. Is r a prime number?
False
Let f be (2 + -3)*(-9 - -6). Suppose -5*k + f*k + 132 = 0. Is 10/8*(k - -10) prime?
False
Let t = 2105 + 4998. Is t a prime number?
True
Suppose -3*t + 61021 = 4*g, 0 = t + 1 + 4. Is g a prime number?
True
Suppose 21*t - 16*t = 9215. Is t a composite number?
True
Suppose 8 = 5*j - 3*j. Let t be 7*(22 + (j - 2)). Let s = 419 - t. Is s prime?
True
Suppose 103*k - 7554 = 97*k. Is k composite?
False
Let d = -4703 - -10846. Is d a composite number?
False
Let g be (-8)/10*(-2990)/(-4). Let j = 890 + g. Suppose y = 4*y + 2*v - 431, -2*y + v = -j. Is y a composite number?
True
Suppose 21*w = 17*w + 12908. Is w composite?
True
Suppose -4*u + 4 = -5*x, -6*u = -2*u - 2*x - 16. Is 9238/3 - 2/36*u composite?
False
Let o be ((-365)/4)/(3 + (-13)/4). Let w = o + -66. Is w prime?
False
Let j = 67 - 63. Suppose -3*m = -j - 5, -1178 = -2*i - 4*m. Is i a prime number?
False
Let s be (10/4)/(1/6). Suppose -s*j + 16*j = 97. Is j prime?
True
Suppose -4*g - 4*c = -4, -2*g + 6 = 4*c - 0. Is 87/6*(15 + g) a prime number?
False
Let u(o) be the third derivative of 17*o**7/504 + o**6/720 - o**5/120 + o**4/8 - 2*o**2. Let f(a) be the second derivative of u(a). Is f(-2) a prime number?
True
Suppose 51*l + d = 49*l + 118414, -5*d = -3*l + 177621. Is l prime?
True
Let f(g) = 2*g**2 - 8*g + 5. Let t be f(-6). Suppose -10*l + 59 = -11. Suppose -l*n = -2*n - t. Is n prime?
False
Suppose -5*q + 0*q + 3*g + 77 = 0, -4*g = -5*q + 76. Suppose -q = 4*z - 524. Is z a composite number?
False
Let w = -109 - -464. Suppose -x = -4*a + w, 3*x - 5*x = -2*a + 176. Is a a composite number?
False
Let p = -11 - -9. Is 149/p*(-9 - -7) a prime number?
True
Suppose -4*a + 28 = 5*q, 4*a + 5*q = q + 32. Let b be 1/(1 - a/16). Suppose k = 3*k - 4*h - 226, b*k = -2*h + 462. Is k prime?
False
Suppose 4*r = l - 16, -6*r - 2*l - 4 = -2*r. Is (-45)/(-30)*(-614)/r composite?
False
Suppose 4*h - 4*r + 835 + 1269 = 0, -h = -2*r + 526. Let x = h + 777. Is x prime?
True
Let l(s) = s**2 + 4 + 14 + 2*s + 0*s. Let i(w) = -12*w + 13. Let f be i(0). Is l(f) prime?
False
Let l(m) = -14 + 1379*m**2 - 1359*m**2 + 0*m + m**3 - 2*m. Is l(-17) composite?
False
Let o(s) = s**2 + 20*s - 47. Let b be o(-22). Is 258/(-9)*b + -1 prime?
False
Suppose 2*o - 36900 = -5*j, 6647 = -2*j - 4*o + 21391. Is j prime?
False
Let d = -1167 - -3326. Is d prime?
False
Let x = 65 - 53. Suppose x*r = 11*r + 499. Is r a composite number?
False
Let g be (-2)/6 + (-70)/(-30). Let o(p) = -g - p - 5*p + p + p. Is o(-4) a composite number?
True
Let c be 6184/2*(-2 - 3/(-4)). Is c/(-25) + (-4)/(-10) a prime number?
False
Suppose g = 4*b - 13376, -b + 3*g + 2*g + 3363 = 0. Is b a composite number?
False
Suppose -4*t + 1370 + 9913 = -5*x, 2*t + x - 5659 = 0. Is t a prime number?
False
Suppose 4*q - 2*d - 1114 = 0, 2*d + 5 = 3*d. Suppose -4*b - t = -b + 821, b + 4*t + q = 0. Let c = -62 - b. Is c a prime number?
True
Let p(m) = 4053*m**2 - 12*m - 11. Is p(-1
|
{
"pile_set_name": "DM Mathematics"
}
|
e y(-7). Let c(t) = -t**2 - 2*t + 1. Let p be c(-3). Sort p, r, 3 in decreasing order.
3, p, r
Suppose s + 3 = 2*d, -31 + 33 = -2*s. Let f = -8 - -4. Let y be 2*(-1)/f*-4. Sort y, 5, d in ascending order.
y, d, 5
Let k = -196 + -1. Let u = -1373/7 - k. Let n be (-532)/456 - -1*(-1)/(-1). Sort u, -0.3, n in decreasing order.
u, n, -0.3
Let l = -240 + 243. Sort -0.08, -0.9, l in decreasing order.
l, -0.08, -0.9
Let c be 27/72 + (-145)/(-40). Sort 5, -7, c, 2.
-7, 2, c, 5
Let x = -0.304 - -4.304. Put x, 0.1, 2/23 in descending order.
x, 0.1, 2/23
Let j = 230 - 2528/11. Suppose 3*f - 4*f = 5. Sort f, 1/4, j.
f, j, 1/4
Let v be 57/38*(-4)/(-15). Let u(s) = -s**2 - 6*s - 6. Let f be u(-4). Let x be f/(-3)*9/(-12). Sort 1/5, x, v in decreasing order.
x, v, 1/5
Let s be (-10)/2*4*2/(-120). Sort -1/57, 1, s in decreasing order.
1, s, -1/57
Let u = -122 + 122.5. Sort -2/11, -2/7, u, -4 in decreasing order.
u, -2/11, -2/7, -4
Let s = -377 + 377.2. Sort 0.1, s, 2/15, -0.3 in ascending order.
-0.3, 0.1, 2/15, s
Let j be (-210)/(-175)*(-5)/(-2). Suppose 3*s = 5*f - 3, -2*f - 4*s + 6*s = 2. Suppose o = 2*k - 7, -f*o - k - 17 = -6*k. Put j, 0, o in ascending order.
0, o, j
Suppose -2*q + 31 = -5*g, 2*g - 14 = -3*q + 3*g. Suppose 5*h - 188 + 178 = 0. Sort h, 4, -7, q.
-7, h, q, 4
Let n(i) = i**3 + 11*i**2 - 11*i + 14. Let j be n(-12). Suppose 16 = 6*x - j*x. Sort -5, x, 5 in decreasing order.
5, x, -5
Suppose 0 = -307*g + 288*g. Let h = -5/6 - -1/6. Put g, h, -7 in descending order.
g, h, -7
Let t(h) = h**2 - 20*h + 18. Let u be t(19). Sort 7, -5, -2, u in decreasing order.
7, u, -2, -5
Let m = -108 + 113. Put m, 0.1, -1/4, 0.17 in descending order.
m, 0.17, 0.1, -1/4
Suppose 4*k - 20 = 4*c - 2*c, 5*k + 3*c - 3 = 0. Sort k, 0.12, -0.07, -2 in decreasing order.
k, 0.12, -0.07, -2
Let q be ((-2)/7)/(42/(-441)). Put -4, q, 1, -3 in ascending order.
-4, -3, 1, q
Let h = -74 - -53. Let b = -288 - -270. Let s = b - h. Sort 0.3, 1, s.
0.3, 1, s
Let p = 10/3 - 67/21. Let j = 0.019 + -0.019. Sort 0.1, p, j, 0.3.
j, 0.1, p, 0.3
Let j = -697/5 - -139. Suppose -3*o + 25 = -8*o. Sort o, -4, j in increasing order.
o, -4, j
Suppose -4*l + 64 = 4*o, -23 + 71 = 3*o - 4*l. Let j be 14044/(-18) + 4/18. Let g be 2/o - j/160. Put g, 9, -3 in decreasing order.
9, g, -3
Let m be (0 + (4 - 1))*(-2)/(-6). Let o be (-3)/(-9) + 0 - (-2)/(-6). Put -4, o, m, -5 in descending order.
m, o, -4, -5
Let w = 18 - 32. Let k = -7.19 - 7.81. Let z = w - k. Sort -0.1, 2/13, z in descending order.
z, 2/13, -0.1
Let o(v) = 27*v + 109. Let q be o(-4). Sort -5, 5, 8, q in ascending order.
-5, q, 5, 8
Let q be 2/(-5) - (-153)/45. Suppose q*l - 15 = -2*l. Suppose -k - 16 = l*k. Sort k, -0.3, -1.
k, -1, -0.3
Let k = -0.3 + 0. Let s = -558777/20 + 27939. Put s, k, -4 in decreasing order.
s, k, -4
Suppose 2*m + 4*a - 6 = 2*a, -m - 3*a = -1. Sort -5, 1/8, m, -4/5 in ascending order.
-5, -4/5, 1/8, m
Let k(s) = -38*s + 52. Let a be k(2). Put a, -18, 1 in descending order.
1, -18, a
Let j be -4 + (0 - (-1 - 0)). Let h(b) = -b**2 - 5*b - 9. Let u be h(j). Put 0, u, -5 in descending order.
0, u, -5
Let t = -102.1 + 101.1. Sort t, -14.4, 2, 5 in decreasing order.
5, 2, t, -14.4
Let z = 226 + -226.03. Sort z, 4, 0, 1/4 in ascending order.
z, 0, 1/4, 4
Let t(i) = -i**2 + 10*i + 98. Let q be t(-6). Put q, -104, 0 in decreasing order.
q, 0, -104
Let n be (-4)/4 - (-4)/1. Let h(i) = 47*i + 371. Let b be h(-8). Sort 0.13, b, n in ascending order.
b, 0.13, n
Let w(c) = 9*c**2 + 306*c - 5. Let v be w(-34). Sort 220, 1, v.
v, 1, 220
Suppose -5 = 2*s + 5. Let c be -6 - s - (-1 + -7). Sort -2, c, 4 in ascending order.
-2, 4, c
Let a = 17 + -12. Let d(y) = y**2 - 13*y - 14. Let b(j) = -2*j**2 + 26*j + 29. Let x(z) = 2*b(z) + 5*d(z). Let q be x(14). Sort a, q, 4 in ascending order.
q, 4, a
Let y = 2.628 - 7.628. Suppose 0 = 5*z + 15, -2*f - 3*z = z + 2. Sort y, 1/2, f in ascending order.
y, 1/2, f
Let h be 8/6*(-1 + -6 + 19). Sort -4, -5, h in decreasing order.
h, -4, -5
Let m = 367/840 + -1/120. Put 3, -3/40, 4/5, m in descending order.
3, 4/5, m, -3/40
Suppose -2*m + 16 = -4*m. Let c be m/(-6)*(-19)/76. Let w = 3 + -6. Sort w, -6, c in descending order.
|
{
"pile_set_name": "DM Mathematics"
}
|
2/7)*r**(2/9)/r)/(r*r**3*r*r**29) assuming r is positive.
r**(-2146/63)
Simplify (((t/(t/(t/t**(-5/9))))/t)/t*(((t**(1/16)/t)/t)/t)/t)**(-40) assuming t is positive.
t**(3155/18)
Simplify ((q/(q*q*q/q**(-3/2))*q**(-3))**(-3/8))**(2/9) assuming q is positive.
q**(13/24)
Simplify ((f**2/(f/f**(-2/37)))/(f**1*f)**(3/11))**(-5) assuming f is positive.
f**(-815/407)
Simplify (l*(l*l*l**(-1/21)*l*l*l)/l*l/l**(-4/5))/((l**(-9/4)*l)/(l/l**(2/11))) assuming l is positive.
l**(40751/4620)
Simplify (i**(1/2)*i)/(i/i**(-27))*(i**(27/4)*i)/i**19 assuming i is positive.
i**(-151/4)
Simplify (r**0*r**(6/11)/r)/(r**(-2/7))**(3/8) assuming r is positive.
r**(-107/308)
Simplify (z/(z**18/z)*z*z)/(z*z/((z/((z/(z**(3/8)*z))/z))/z))*z/z**(4/5)*z*z/(z/(z*(z**(-4/7)/z)/z*z)) assuming z is positive.
z**(-3919/280)
Simplify l/(l*l/(l*(l*l*l**22)/l)*l)*l**(-27)*l*(l*l**(-7))**(-41) assuming l is positive.
l**242
Simplify (p**(-1/8))**(-39)*p/p**(-23)*p/(p**(4/11)/p*p) assuming p is positive.
p**(2597/88)
Simplify ((f**(-2/5)*f)**13/(f/f**(-3/2))**(-4/9))**(2/71) assuming f is positive.
f**(802/3195)
Simplify z/(z/(z**(2/19)/z))*z/(z/((z**(-2/7)/z)/z))*z*z*z**(-3/7)*z**(-8) assuming z is positive.
z**(-1278/133)
Simplify (v*v/v**(2/13))**(-3/44)/((v/(v*v**(-13)))/(v*v**(-12))) assuming v is positive.
v**(-3450/143)
Simplify (i**(9/2)/i)**(-2/13)/((i**(-6)*i)/i**(-2)) assuming i is positive.
i**(32/13)
Simplify (w/(w*w**3*w))**(-6)*(w**(-17)*w)/(w/(w*w**(-18/11))) assuming w is positive.
w**(70/11)
Simplify ((o**(2/5)/o)/o*o*o)**(-21/8)/(o**(-1))**10 assuming o is positive.
o**(179/20)
Simplify ((o**(3/7))**(1/58))**(-8/9) assuming o is positive.
o**(-4/609)
Simplify (((u**7/u)/(u/u**(4/5)))**32)**(4/13) assuming u is positive.
u**(3712/65)
Simplify (m**5/(m/m**(1/11)*m)*(m*m**(2/21))/(m*m*m**(-6)))**(7/8) assuming m is positive.
m**(1891/264)
Simplify (p**(-2/9)/p)/(p**(2/45)*p)*(p**(18/7)*p)**2 assuming p is positive.
p**(512/105)
Simplify (k/(k**0*k*k))/k**(4/7)*(k**12/k)/(k/(k*k**(-7/4))) assuming k is positive.
k**(215/28)
Simplify u**(9/4)/(u*u**(15/7))*(u**1)**(-12) assuming u is positive.
u**(-361/28)
Simplify (v**(1/8)/(((v*(v/(v**(-1/3)*v))/v*v)/v*v)/v*v))/((v**(-8)*v)/(v/((v*v**(-5/7))/v))) assuming v is positive.
v**(1261/168)
Simplify (u*(u*u**(-8)*u)/u*(u**(-6)/u*u)/u*u)/(u**(2/27)/u*u*u*u**(-7/6)/u*u) assuming u is positive.
u**(-643/54)
Simplify ((k/(k*k*k*k**3*k)*k)/k*k/(k/k**(-11/6)))/(((k**(-2/3)/k)/k)/k*k)**(-8/15) assuming k is positive.
k**(-833/90)
Simplify (z**(-10)*z**2/z)/(z/(z/((z/((z/(z/((z/(z*z**(-5)))/z)))/z))/z))*z**(1/12)) assuming z is positive.
z**(-73/12)
Simplify o**(-1/4)*o/o**12*(o**(-7)*o)**(9/11) assuming o is positive.
o**(-711/44)
Simplify (t**(-11))**38*t**(-2)/t**(-5/6) assuming t is positive.
t**(-2515/6)
Simplify (s*s*s**(2/19)*s*s*s*s**(-23))/(s**21*s**3) assuming s is positive.
s**(-796/19)
Simplify ((l*l*l/(l**4/l))/(l/(((l/l**1)/l*l)/l)))/(l/(l**(-3)/l))**(1/4) assuming l is positive.
l**(-13/4)
Simplify (w**(2/27)/w**(2/11))/(w**(-2/3)/w**(2/11)) assuming w is positive.
w**(20/27)
Simplify ((j/(j/j**(-9)))/j*j*j**(-1/18))**(-44) assuming j is positive.
j**(3586/9)
Simplify ((l*l**9)/l*l/((l*l/l**(-1/18))/l*l))/((l*l**(2/3)*l*l*l*l)/l)**(-2/9) assuming l is positive.
l**(485/54)
Simplify (q**(-27)*q**(2/3)*q)**(-3/2) assuming q is positive.
q**38
Simplify (v**(-4))**15/((v/(v*v**(-2/5)))/v*v**(-4/7)) assuming v is positive.
v**(-2059/35)
Simplify ((w*w/(w*w**(-16/5)))/w)/w*w**(-4)/w*w*(w/((w**(-10)/w)/w))**(-4/5) assuming w is positive.
w**(-61/5)
Simplify g**(-1/15)*g**(-13)/g*((g/((g*g*g/(g*g**(-1/3))*g)/g))/g)**(-5) assuming g is positive.
g**(-12/5)
Simplify ((y**15/(y*y*(y**(-1)/y*y)/y))**19)**(-4/5) assuming y is positive.
y**(-228)
Simplify (h*(h*h*h/((h/h**(-1/5))/h*h*h))/h)**(-1/61)/(h/(h**5*h))**(-5) assuming h is positive.
h**(-7629/305)
Simplify (a*a**(-3/4)*a*a*a)**(1/26)/((a*a**21)/(a/(a*a**7))) assuming a is positive.
a**(-231/8)
Simplify ((f*f/(f/(f*f/f**(2/15)*f*f*f)))/((f/(f*(f/(f**(-3/4)*f))/f*f))/f)*f**(-8)/(f/(f/(f*(f**0*f*f)/f))))**(-2/15) assuming f is positive.
f**(143/450)
Simplify (t/t**(-1/4))**(11/6)/(((t/t**(-5))/t*t)/t*(t**(-9)*t)/t) assuming t is positive.
t**(151/24)
Simplify ((l/(l/(l/l**7*l)))/l*l**15*l)/(l**2)**(-14/11) assuming l is positive.
l**(138/11)
Simplify (c**4*c*c/(c*c/(c*(c*c*c/(c/c**(-8))*c)/c)))/(c**(-12)/c*c**0)
|
{
"pile_set_name": "DM Mathematics"
}
|
7, -42739, -43951, -45163, -46375?
-47587
What comes next: -2535, -9158, -20193, -35634, -55475, -79710?
-108333
What comes next: -22714, -21277, -19840, -18403, -16966?
-15529
What is the next term in -6186, -12285, -18310, -24261, -30138, -35941, -41670?
-47325
What is the next term in 1052772, 2105543, 3158364, 4211259, 5264252, 6317367?
7370628
What comes next: -8228, -11084, -8568, -680?
12580
What is the next term in 2881, 2302, 1725, 1150, 577?
6
What is next in -2500, -3315, -4678, -6601, -9096, -12175, -15850, -20133?
-25036
What is next in -22001, -21475, -20061, -17315, -12793, -6051, 3355, 15869?
31935
What is the next term in -501, -2246, -5129, -9090, -14069?
-20006
What comes next: 80107, 160555, 241007, 321463, 401923, 482387, 562855?
643327
What is the next term in -1521, -1745, -1985, -2247, -2537, -2861?
-3225
What is the next term in -70504602, -141009205, -211513806, -282018405, -352523002, -423027597, -493532190?
-564036781
What is the next term in -45321, -68584, -91847?
-115110
What is the next term in 796, 1861, 2926, 3991, 5056, 6121?
7186
What is the next term in 17686, 70878, 159532, 283648, 443226?
638266
What is next in 2205945, 4411873, 6617801, 8823729?
11029657
What is the next term in 15185, 15084, 15005, 14960, 14961, 15020, 15149?
15360
What comes next: 415, 1067, 1749, 2485, 3299?
4215
What is next in -704093, -704117, -704141, -704165, -704189, -704213?
-704237
What is the next term in 244091, 1952658, 6590179, 15621128, 30509979, 52721206, 83719283?
124968684
What is the next term in 93516, 93681, 93846, 94011?
94176
What is the next term in -47716, -79401, -111096, -142807, -174540?
-206301
What comes next: 24783643, 24783638, 24783623, 24783592, 24783539, 24783458?
24783343
What is the next term in 33871496, 135485978, 304843448, 541943906, 846787352, 1219373786, 1659703208?
2167775618
What is next in -42679206, -42679209, -42679212, -42679215?
-42679218
What comes next: 12560327, 12560322, 12560315, 12560306, 12560295, 12560282?
12560267
What is next in -7339669, -14679338, -22019007, -29358676, -36698345?
-44038014
What is the next term in 150867, 301788, 452709, 603630, 754551, 905472?
1056393
What is next in 1336, -2551, -13100, -33641, -67504?
-118019
What is next in 21640, 39851, 70202, 112693, 167324, 234095?
313006
What is next in 309, -329, -1019, -1791, -2675?
-3701
What comes next: 6415137, 12830284, 19245431, 25660578, 32075725?
38490872
What comes next: 48755, 48551, 48345, 48137, 47927, 47715?
47501
What comes next: -871474, -871435, -871392, -871345?
-871294
What is the next term in -522342, -1044988, -1567634, -2090280?
-2612926
What is the next term in 654, 1686, 3424, 5868, 9018, 12874, 17436?
22704
What is next in -257, -753, -1597, -2909, -4809?
-7417
What is next in -26988, -56295, -85602, -114909, -144216?
-173523
What is next in -38672, -154697, -348072, -618797?
-966872
What comes next: 3284273, 13137057, 29558345, 52548125, 82106385, 118233113?
160928297
What comes next: 625, 639, 701, 835, 1065, 1415, 1909?
2571
What is next in 20369069, 40738175, 61107281, 81476387, 101845493, 122214599?
142583705
What is next in 45630, 45537, 45444, 45351, 45258?
45165
What is next in 20567197, 41134401, 61701613, 82268833?
102836061
What comes next: 492230, 492219, 492208?
492197
What is the next term in 239799, 959263, 2158391, 3837177, 5995615, 8633699, 11751423, 15348781?
19425767
What is the next term in 4070, 14699, 31918, 55733, 86150, 123175?
166814
What is the next term in 47232, 188627, 424194, 753933?
1177844
What comes next: 31145857, 62291786, 93437713, 124583638, 155729561?
186875482
What is next in 161876, 161898, 161946, 162032, 162168, 162366, 162638?
162996
What is the next term in 7602591, 7602589, 7602587, 7602585, 7602583?
7602581
What comes next: -193377, -386685, -579971, -773223, -966429, -1159577?
-1352655
What is next in 10206015, 20412036, 30618057, 40824078, 51030099, 61236120?
71442141
What comes next: -3179980, -6360195, -9540410?
-12720625
What comes next: -374745, -749421, -1124097, -1498773?
-1873449
What comes next: -30474, -122296, -275334, -489588, -765058, -1101744, -1499646?
-1958764
What comes next: 33603046, 33603048, 33603050, 33603052?
33603054
What is the next term in -2426, -3172, -4366, -6002, -8074, -10576, -13502, -16846?
-20602
What comes next: 3385663, 3385664, 3385665, 3385666, 3385667?
3385668
What is the next term in 447419, 447442, 447479, 447530?
447595
What comes next: -163, 3465, 9509, 17969, 28845?
42137
What is next in -117008, -115621, -111860, -104537, -92464, -74453, -49316, -15865?
27088
What comes next: 80846, 161056, 241266?
321476
What is next in 481300, 962672, 1444044, 1925416?
2406788
What is the next term in 3672, 75
|
{
"pile_set_name": "DM Mathematics"
}
|
tre in millilitres?
21750
What is 698.9043 weeks in days?
4892.3301
What is 5/4 of a millennium in years?
1250
How many millilitres are there in 6/25 of a litre?
240
How many millilitres are there in eleven quarters of a litre?
2750
How many days are there in 3642237.9 minutes?
2529.331875
How many months are there in 6283.254 millennia?
75399048
How many centimeters are there in 7/2 of a meter?
350
What is 7.797437ml in litres?
0.007797437
What is 43/2 of a day in minutes?
30960
What is 1/10 of a kilometer in meters?
100
What is one quarter of a litre in millilitres?
250
What is 0.8364518l in millilitres?
836.4518
What is 6542.427ug in nanograms?
6542427
How many millilitres are there in 3/5 of a litre?
600
How many micrograms are there in 34876.81kg?
34876810000000
How many years are there in 20.557452 months?
1.713121
Convert 64.57525 millilitres to litres.
0.06457525
How many seconds are there in 3/32 of a week?
56700
How many decades are there in 19894.6 centuries?
198946
Convert 54904.95 millimeters to micrometers.
54904950
How many centuries are there in 2591.646 months?
2.159705
How many millennia are there in 337590.2 decades?
3375.902
How many milliseconds are there in one quarter of a second?
250
What is five eighths of a litre in millilitres?
625
What is 6/5 of a litre in millilitres?
1200
Convert 2.1998157 months to millennia.
0.000183317975
Convert 0.1599601 hours to seconds.
575.85636
How many kilometers are there in 550.1029 nanometers?
0.0000000005501029
What is 3/5 of a litre in millilitres?
600
What is 13/4 of a millennium in decades?
325
What is 44/5 of a microsecond in nanoseconds?
8800
What is three sixteenths of a millennium in months?
2250
Convert 7399.249 millilitres to litres.
7.399249
How many millimeters are there in 3/40 of a kilometer?
75000
How many milliseconds are there in 13/8 of a minute?
97500
What is 64/5 of a litre in millilitres?
12800
What is 7/16 of a minute in milliseconds?
26250
How many micrometers are there in 6391.51 millimeters?
6391510
How many millilitres are there in 57/2 of a litre?
28500
How many millimeters are there in 1/4 of a meter?
250
How many centuries are there in 0.2669409 decades?
0.02669409
Convert 89.67677 meters to millimeters.
89676.77
What is 13/4 of a litre in millilitres?
3250
What is 6031.54l in millilitres?
6031540
What is fourty-nine fifths of a millennium in centuries?
98
What is 2.05352 millimeters in micrometers?
2053.52
How many milligrams are there in eighty-eight fifths of a gram?
17600
Convert 5.18607 centuries to decades.
51.8607
How many decades are there in twenty-nine fifths of a century?
58
How many milligrams are there in 3/50 of a gram?
60
Convert 231.7642g to kilograms.
0.2317642
What is one tenth of a litre in millilitres?
100
How many seconds are there in 10/9 of a day?
96000
How many micrometers are there in 45/4 of a millimeter?
11250
What is 112.2423mm in centimeters?
11.22423
What is 3/40 of a decade in months?
9
Convert 65.21738m to centimeters.
6521.738
Convert 7.416504 millennia to centuries.
74.16504
Convert 745.0548 weeks to minutes.
7510152.384
How many seconds are there in 1/36 of a day?
2400
What is 0.4538098s in microseconds?
453809.8
How many millilitres are there in seven quarters of a litre?
1750
How many minutes are there in 7/4 of a hour?
105
How many millimeters are there in three tenths of a meter?
300
What is twenty-one quarters of a millennium in years?
5250
How many millilitres are there in 3/5 of a litre?
600
What is 3/40 of a gram in milligrams?
75
How many litres are there in 7.783656 millilitres?
0.007783656
Convert 7374.566 hours to seconds.
26548437.6
How many centimeters are there in 11/4 of a meter?
275
Convert 46.9586 millennia to months.
563503.2
How many centuries are there in twenty-one halves of a millennium?
105
What is 79.73027ml in litres?
0.07973027
What is 3/5 of a second in milliseconds?
600
Convert 1973.384t to micrograms.
1973384000000000
How many micrometers are there in 939647.4 nanometers?
939.6474
How many months are there in thirteen eighths of a decade?
195
Convert 0.6324866 milligrams to grams.
0.0006324866
How many kilometers are there in 288200.1 meters?
288.2001
Convert 6.566265cm to millimeters.
65.66265
Convert 75.55976 millimeters to meters.
0.07555976
What is twenty-one quarters of a gram in milligrams?
5250
How many micrograms are there in 55/4 of a milligram?
13750
How many months are there in 1/5 of a decade?
24
What is 47/4 of a microgram in nanograms?
11750
How many kilograms are there in twenty-one quarters of a tonne?
5250
How many grams are there in 1/4 of a kilogram?
250
Convert 3281.527 hours to nanoseconds.
11813497200000000
What is 1106549.91s in days?
12.807290625
How many hours are there in 669415.9 weeks?
112461871.2
How many seconds are there in seven thirds of a hour?
8400
What is 7/4 of a litre in millilitres?
1750
Convert 1889.675 tonnes to kilograms.
1889675
What is 3/5 of a microgram in nanograms?
600
How many grams are there in three fifths of a kilogram?
600
What is twenty-one quarters of a week in minutes?
52920
How many months are there in 21/4 of a millennium?
63000
What is 6/25 of a millimeter in micrometers?
240
How many micrograms are there in 0.5394675mg?
539.4675
Convert 1.026912ng to kilograms.
0.000000000001026912
How many kilograms are there in one tenth of a tonne?
100
How many micrograms are there in 3/32 of a gram?
93750
Convert 4.99954kg to micrograms.
4999540000
What is 577.4722 centimeters in nanometers?
5774722000
What is 274.3386 litres in millilitres?
274338.6
What is 9.706708 tonnes in nanograms?
9706708000000000
What is 2.8497936 nanoseconds in minutes?
0.00000000004749656
What is 1/4 of a year in months?
3
What is seven eighths of a microgram in nanograms?
875
How many millilitres are there in 75/2 of a litre?
37500
How many hours are there in 794.28546ms?
0.00022063485
Convert 3.73758 millilitres to litres.
0.00373758
What is one quarter of a litre in millilitres?
250
What is one tenth of a kilometer in meters?
100
How many months are there in twenty-two fifteenths of a century?
1760
How many litres are there in 1.321145 millilitres?
0.001321145
What is 5/6 of a minute in milliseconds?
50000
Convert 322.582 days to hours.
7741.968
How many grams are there in 84.563 kilograms?
84563
What is twenty-nine fifths of a micrometer in nanometers?
5800
How many micrometers are there in 8.277478 kilometers?
8277478
|
{
"pile_set_name": "DM Mathematics"
}
|
of picking 1 g and 2 v.
3/110
Two letters picked without replacement from bpptfvvbpefp. What is prob of picking 2 p?
1/11
Four letters picked without replacement from eewnfeeeewefvewve. What is prob of picking 1 v, 1 e, and 2 f?
9/1190
Four letters picked without replacement from {k: 3, y: 13}. What is prob of picking 4 y?
11/28
Two letters picked without replacement from hobpphoxxhmx. Give prob of picking 1 x and 1 h.
3/22
Two letters picked without replacement from aalandlaaadddllnn. Give prob of picking 2 d.
3/68
Calculate prob of picking 4 p when four letters picked without replacement from bppppppp.
1/2
What is prob of picking 1 r and 1 u when two letters picked without replacement from ruuuuuurrrururrmr?
8/17
Calculate prob of picking 1 s, 1 f, and 2 y when four letters picked without replacement from yssssyysiyf.
1/11
Four letters picked without replacement from nnnbenbnbenbnn. What is prob of picking 3 b and 1 e?
8/1001
What is prob of picking 1 c and 1 q when two letters picked without replacement from qqccxx?
4/15
Four letters picked without replacement from {g: 5, s: 2, w: 3}. Give prob of picking 2 g and 2 w.
1/7
What is prob of picking 3 x when three letters picked without replacement from {x: 8, k: 3}?
56/165
Calculate prob of picking 2 j and 1 c when three letters picked without replacement from ccjxcjjxcxxxxj.
6/91
What is prob of picking 1 y and 1 c when two letters picked without replacement from {y: 4, w: 2, d: 4, c: 10}?
4/19
Two letters picked without replacement from qtttttqbttttzttbsnzt. Give prob of picking 2 t.
33/95
What is prob of picking 1 h and 2 j when three letters picked without replacement from jhhjjjhjhjjjjjhjjjj?
455/969
Calculate prob of picking 1 l, 1 h, and 2 m when four letters picked without replacement from {l: 4, m: 5, h: 1}.
4/21
Two letters picked without replacement from tdxdtxitxxxtxxxtxtd. What is prob of picking 1 x and 1 t?
6/19
What is prob of picking 4 n when four letters picked without replacement from {i: 1, y: 4, n: 5}?
1/42
Two letters picked without replacement from {i: 2, y: 1, v: 1, k: 3, n: 3, g: 3}. Give prob of picking 1 v and 1 g.
1/26
Three letters picked without replacement from {m: 2, z: 3, s: 1, g: 1, f: 1, w: 8}. What is prob of picking 2 z and 1 m?
3/280
What is prob of picking 2 k and 1 n when three letters picked without replacement from {k: 2, a: 1, t: 1, u: 2, n: 1}?
1/35
Two letters picked without replacement from {h: 10, d: 8, l: 1}. What is prob of picking 2 h?
5/19
What is prob of picking 1 e and 2 x when three letters picked without replacement from {x: 5, g: 1, e: 3, f: 2, d: 5}?
3/56
Two letters picked without replacement from zxcsxzxxxbboxzzxczz. What is prob of picking 1 c and 1 s?
2/171
Two letters picked without replacement from aazaaaaaazzzazaaua. Give prob of picking 2 a.
22/51
What is prob of picking 2 n and 1 o when three letters picked without replacement from {o: 4, n: 6}?
1/2
Two letters picked without replacement from ccjcjcccjc. What is prob of picking 1 c and 1 j?
7/15
Two letters picked without replacement from ddnnnd. What is prob of picking 2 d?
1/5
What is prob of picking 4 t when four letters picked without replacement from {m: 2, t: 7}?
5/18
Calculate prob of picking 1 b, 1 u, and 1 y when three letters picked without replacement from {z: 1, y: 1, b: 1, u: 2, w: 1, r: 1}.
2/35
Calculate prob of picking 1 b, 1 h, and 1 w when three letters picked without replacement from hbbhbbbhbhbbhbbwh.
3/34
Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {w: 8, n: 1, y: 8}.
1/17
What is prob of picking 3 a and 1 y when four letters picked without replacement from {a: 3, m: 1, y: 1}?
1/5
Four letters picked without replacement from {d: 2, q: 4, o: 5}. Give prob of picking 1 o and 3 q.
2/33
Calculate prob of picking 2 u and 1 y when three letters picked without replacement from yfuvagauyagyva.
3/364
Four letters picked without replacement from {t: 4, l: 3, c: 2, g: 3, d: 4, f: 4}. Give prob of picking 2 t, 1 l, and 1 d.
24/1615
What is prob of picking 1 z and 1 v when two letters picked without replacement from {v: 1, b: 1, z: 1, r: 2}?
1/10
Two letters picked without replacement from yznjj. Give prob of picking 2 y.
0
Four letters picked without replacement from mkddnmdkmukmm. Give prob of picking 4 m.
1/143
Calculate prob of picking 1 y and 1 z when two letters picked without replacement from zwyzzywwyyzzywwwzzy.
14/57
Three letters picked without replacement from {n: 4, o: 16}. What is prob of picking 1 n and 2 o?
8/19
What is prob of picking 1 e and 2 t when three letters picked without replacement from {j: 1, t: 9, i: 3, e: 4, q: 2}?
48/323
Four letters picked without replacement from ewwweweeeeewee. Give prob of picking 1 e and 3 w.
90/1001
What is prob of picking 2 a when two letters picked without replacement from assaasassa?
2/9
Four letters picked without replacement from {g: 2, k: 1, l: 4, f: 2, s: 3}. What is prob of picking 1 l and 3 s?
4/495
Three letters picked without replacement from cqeqczqzipcpep. What is prob of picking 1 i and 2 e?
1/364
What is prob of picking 3 z and 1 p when four letters picked without replacement from zzzzzpzppzp?
14/33
Four letters picked without replacement from {g: 1, v: 3, m: 13, o: 3}. Give prob of picking 1 o, 1 v, and 2 m.
234/1615
Four letters picked without replacement from mmddwmddmddwmwddm. What is prob of picking 4 m?
3/476
Calculate prob of picking 1 u, 1 d, and 1 p when three letters picked without replacement from ckucudqdddudupud.
3/56
Three letters picked without replacement from cqcqqc. Give prob of picking 3 q.
1/20
What is prob of picking 1 p and 2 w when three letters picked without replacement from {f: 3, p: 1, i: 3, x: 1, w: 7, d: 2}?
21/680
Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {n: 1, v: 1, u: 1, b: 1, x: 1, l: 2}.
2/21
Calculate prob of picking 2 j when two letters picked without replacement from uujjfvhf.
1/28
Calculate prob of picking 2 u and 2 w when four letters picked without replacement from awipiuupuwypaa.
3/1001
Three letters picked without replacement from {r: 1, z: 8, m: 7, q: 2}. Give prob of picking 1 m, 1 q, and 1 r.
7/408
Calculate prob of picking 1 s and 2 o when three letters picked without replacement from ooooooosooooooo.
1/5
What is prob of picking 4 c when four letters picked without replacement from {r: 3, c: 5}?
1/14
Two letters picked without replacement from {u: 5, w: 3, r: 9, x: 3}. Give prob of picking 1 r and 1 x.
27/190
What is prob of picking 2 m when two letters picked without replacement from {b: 5, m:
|
{
"pile_set_name": "DM Mathematics"
}
|
et c(x) = 36*x - 5. Let u(m) = -15*m**2 + 3. Calculate c(u(z)).
-540*z**2 + 103
Let w(h) = -4484788*h**2. Let a(i) = i**2. What is a(w(k))?
20113323404944*k**4
Let m(n) = -10*n. Let x(z) be the first derivative of -1/24*z**4 + 0*z - 5/2*z**2 - 6 + 0*z**3. Let v(u) be the second derivative of x(u). Determine m(v(q)).
10*q
Let x(m) = m**2. Let q be 0/(-5) - (0 - 2). Let v(w) = 3*w**2 - w**2 + 0*w**q. Calculate v(x(b)).
2*b**4
Let j(b) be the third derivative of -b**5/30 + 127*b**2. Let d(o) be the first derivative of 0*o + 3 + 3/2*o**2. What is j(d(g))?
-18*g**2
Let p(h) = 28*h + 5. Let u(i) = 4*i**2. Give p(u(b)).
112*b**2 + 5
Let p(h) = 130*h + 3. Let f(k) = 14 - 1 - 14 + 2*k + 1. Calculate p(f(u)).
260*u + 3
Let v(w) be the first derivative of w**2/2 - 54. Let l(d) = -d - d - 7*d - 2*d. Give v(l(m)).
-11*m
Let d(y) = 4*y. Let s(l) = 182718*l**2. Determine d(s(j)).
730872*j**2
Let k(v) = -57*v**2 + 4. Let q(b) = 9*b. Give k(q(w)).
-4617*w**2 + 4
Suppose -u + 5*s + 2 = 3*s, 4*u - 12 = 4*s. Let g(p) = -3*p + u*p + 4*p + 0*p. Let c(y) be the first derivative of -y**2/2 - 67. What is c(g(i))?
-5*i
Let o be (-204)/(-33) + (-4)/22. Let f be 0*((-15)/o + 2). Let c(q) = 3*q + f - 2 + 2. Let y(x) = 2*x**2. Determine c(y(g)).
6*g**2
Let g be 130/110 - 4/22. Let n(x) = -1 + 58*x + g - 59*x. Let b(f) = -f - 2*f + 5*f. Calculate n(b(a)).
-2*a
Let a(s) = 2*s. Let x(y) = 198*y**2 + 54*y + 37*y - 91*y. What is x(a(i))?
792*i**2
Let o(u) = 2*u + 96. Let z(g) = -97*g + 2. Calculate z(o(n)).
-194*n - 9310
Suppose 0 = -y, -52 = t - 3*t + y. Let n = 0 - -3. Let l(v) = -t + 26 - n*v**2. Let x(f) = -2*f**2. Calculate x(l(j)).
-18*j**4
Let w(g) = -3*g**2. Let a(l) = 28*l + 15*l - 27*l + 29*l + 69*l. Determine a(w(k)).
-342*k**2
Let m(r) = -10*r. Let d(h) = 35359*h + 1. Determine d(m(z)).
-353590*z + 1
Suppose 9 - 57 = -4*n. Let i(l) = -2*l + 5 - n*l - 5. Let q(f) = f. Determine q(i(m)).
-14*m
Let v(h) = h. Let q(b) = 168*b**2 + 120*b + 120. Let p(l) = l**2 + l + 1. Let g(j) = -240*p(j) + 2*q(j). Calculate g(v(z)).
96*z**2
Let r(c) = -4*c**2. Let n = 756 + -243. Let i(t) = -n*t + 513*t + 8*t**2. Determine i(r(v)).
128*v**4
Let n(b) = b**2 - 3*b. Let v(c) = 51*c - 20*c - 32*c. Calculate n(v(m)).
m**2 + 3*m
Let k(f) = 43*f**2. Let b(l) = -190*l**2. Determine b(k(j)).
-351310*j**4
Let u(f) be the first derivative of -11 + 0*f**2 + 1/3*f**4 - f + 0*f**3. Let j(s) be the first derivative of u(s). Let x(b) = -b. Give j(x(t)).
4*t**2
Let h(v) = 40*v. Let g(p) = 2145*p + 2146*p - 4295*p. Calculate g(h(c)).
-160*c
Let o(h) = -15*h. Let y(m) = 6*m - 5. Let g(p) be the second derivative of p**3/6 - p**2/2 - 23*p. Let w(a) = -5*g(a) + y(a). Calculate o(w(l)).
-15*l
Let w(t) = 363*t**2. Let j(o) = 63*o - 48. Let n(m) = 13*m - 10. Let f(z) = 5*j(z) - 24*n(z). Calculate f(w(x)).
1089*x**2
Let h(o) = o**2 + 82*o + 247. Let f(n) = 2*n. Determine f(h(l)).
2*l**2 + 164*l + 494
Let z(u) = 3*u**2 - 12. Let p(j) = 95*j**2 - 390. Let g(s) = 2*p(s) - 65*z(s). Let q(c) be the third derivative of -c**5/15 + c**2. Calculate g(q(n)).
-80*n**4
Let o(t) = -8795*t - 18. Let k(n) = -3*n**2. Calculate o(k(p)).
26385*p**2 - 18
Let k(r) be the first derivative of -5*r**2/2 + 358. Let a(l) = -l + 33. What is a(k(d))?
5*d + 33
Let a(u) be the first derivative of 2/3*u**3 + 0*u**2 + 0*u - 1. Let c(k) be the second derivative of 5*k**3/6 - 3*k + 10. Give c(a(m)).
10*m**2
Let o(m) = 9*m. Let c(q) = 4*q. Let w(i) = 5*c(i) - 2*o(i). Let d be (-963)/(-36) + 1/4. Let h(v) = 8*v + 5*v - d + 27. Determine w(h(k)).
26*k
Let o(d) = 12*d. Let n(l) = 3*l**2 + 6*l - 2. Calculate n(o(c)).
432*c**2 + 72*c - 2
Let a(t) = -90*t. Let j(q) = -26*q**2 + 2*q**2 + 22*q**2. What is j(a(z))?
-16200*z**2
Let t(c) = c. Let i(x) = 149602*x. Determine i(t(l)).
149602*l
Let i(f) = 25*f**2. Let o(p) = -6*p**2 + 4*p + 4. Let c(j) = -17*j**
|
{
"pile_set_name": "DM Mathematics"
}
|
*x**3/7 + 564*x**2/7 + 19008*x/7 - 62208/7.
4*(x - 3)*(x + 72)**2/7
Suppose 2*c**3 + 24*c**2 + 82*c + 60 = 0. What is c?
-6, -5, -1
Factor 5*i**5 - 60*i**4 + 205*i**3 - 190*i**2 - 180*i + 280.
5*(i - 7)*(i - 2)**3*(i + 1)
What is p in -5*p**4 + 38*p**3 - 101*p**2 + 108*p - 36 = 0?
3/5, 2, 3
Let 2*d**5/3 - 92*d**4/3 + 88*d**3/3 + 92*d**2/3 - 30*d = 0. Calculate d.
-1, 0, 1, 45
Factor -2*a**4/13 - 40*a**3/13 + 42*a**2/13.
-2*a**2*(a - 1)*(a + 21)/13
Find o, given that -o**2/2 - 677*o/8 - 105 = 0.
-168, -5/4
Solve -2*t**3 - 74*t**2 - 208*t - 136 = 0 for t.
-34, -2, -1
Determine w so that 2*w**4/7 - 20*w**3/7 + 16*w**2/7 + 20*w/7 - 18/7 = 0.
-1, 1, 9
Let -2*r**5/21 + 22*r**4/21 - 68*r**3/21 - 16*r**2/21 + 320*r/21 - 256/21 = 0. Calculate r.
-2, 1, 4
What is b in -3*b**4/4 - 1473*b**3/4 - 124425*b**2/2 - 3913107*b - 50289978 = 0?
-158, -17
Factor 5*w**3 - 90*w**2 + 540*w - 1080.
5*(w - 6)**3
Solve 2*s**3/21 + 4*s**2/7 + 6*s/7 = 0.
-3, 0
Suppose f**3 + 52*f**2 + 192*f = 0. Calculate f.
-48, -4, 0
Find r, given that -3*r**4 - 24*r**3 - 57*r**2 - 36*r = 0.
-4, -3, -1, 0
Determine v, given that 5*v**5 - 20*v**4 - 60*v**3 - 10*v**2 + 55*v + 30 = 0.
-1, 1, 6
Factor -3*n**5/4 - 1021*n**4/4 + 341*n**3/2.
-n**3*(n + 341)*(3*n - 2)/4
Find z, given that 6*z**4 - 28*z**3 + 10*z**2 + 28*z - 16 = 0.
-1, 2/3, 1, 4
Factor -3*b**3/2 + 1009*b**2/4 - 10626*b + 1764.
-(b - 84)**2*(6*b - 1)/4
Factor 20*p**5 + 48*p**4 + 16*p**3 - 40*p**2 - 36*p - 8.
4*(p - 1)*(p + 1)**3*(5*p + 2)
Suppose -4*k**2 - 4896*k - 1498176 = 0. Calculate k.
-612
Suppose -n**4/5 - 31*n**3/5 - 168*n**2/5 = 0. Calculate n.
-24, -7, 0
Determine c, given that 2*c**4 + 6*c**3 - 44*c**2 - 48*c = 0.
-6, -1, 0, 4
Factor 4*m**3 - 120*m**2 - 4*m + 120.
4*(m - 30)*(m - 1)*(m + 1)
Factor 4*h**2 + 20*h - 96.
4*(h - 3)*(h + 8)
Factor -5*f**2 - 440*f.
-5*f*(f + 88)
Factor -10*f**5 - 68*f**4 + 14*f**3.
-2*f**3*(f + 7)*(5*f - 1)
Suppose -2*f**5/21 - 296*f**4/21 - 2012*f**3/3 - 8976*f**2 + 421362*f/7 - 353736/7 = 0. What is f?
-51, 1, 4
What is u in -2*u**2 - 24*u - 64 = 0?
-8, -4
Suppose y**5 - 5*y**4 - 6*y**3 + 38*y**2 - 43*y + 15 = 0. What is y?
-3, 1, 5
Factor v**2 - 828*v + 171396.
(v - 414)**2
Factor 2*j**3/3 - 274*j**2/3 + 1070*j/3 - 266.
2*(j - 133)*(j - 3)*(j - 1)/3
Factor -2*h**3/7 + 4*h**2/7 + 16*h/7.
-2*h*(h - 4)*(h + 2)/7
Factor -5*t**4 - 85*t**3 - 285*t**2 - 335*t - 130.
-5*(t + 1)**2*(t + 2)*(t + 13)
Factor -2*q**4/13 + 36*q**3/13 - 122*q**2/13 - 360*q/13 - 200/13.
-2*(q - 10)**2*(q + 1)**2/13
Solve -m**2/4 - 103*m/4 - 101/2 = 0.
-101, -2
Factor -14*r**3/11 + 390*r**2/11 - 2688*r/11 - 392/11.
-2*(r - 14)**2*(7*r + 1)/11
What is l in 5*l**2/4 + 7485*l - 29945/4 = 0?
-5989, 1
Find q such that -5*q**5 + 275*q**4 - 3910*q**3 + 3370*q**2 + 3915*q - 3645 = 0.
-1, 1, 27
Factor -3*s**5 - 14*s**4 - 13*s**3 + 18*s**2 + 20*s - 8.
-(s - 1)*(s + 2)**3*(3*s - 1)
Factor s**2/2 + 77*s + 153/2.
(s + 1)*(s + 153)/2
Let 50*i**4 + 110*i**3 + 78*i**2 + 18*i = 0. Calculate i.
-1, -3/5, 0
Let -2*y**2/3 + 424*y/3 - 422/3 = 0. Calculate y.
1, 211
Let -2*w**2/9 - 584*w/9 = 0. Calculate w.
-292, 0
Determine t, given that -2*t**4/7 + 2*t**3 - 18*t**2/7 - 2*t + 20/7 = 0.
-1, 1, 2, 5
Suppose 6*j**4 - 112*j**3 - 1244*j**2 - 2832*j - 810 = 0. What is j?
-5, -3, -1/3, 27
Factor -2*x**4/5 + 8*x**3/5 - 6*x**2/5.
-2*x**2*(x - 3)*(x - 1)/5
Factor -4*s**3/7 - 216*s**2/7 + 912*s/7 - 928/7.
-4*(s - 2)**2*(s + 58)/7
Factor 14*z**3/5 - 58*z**2/5 + 64*z/5 - 8/5.
2*(z - 2)**2*(7*z - 1)/5
Find o such that o**4/2 - 48*o**3 + 1244*o**2 - 4416*o + 4232 = 0.
2, 46
Find f, given that f**3/6 - 19*f**2/2 + 28*f/3 = 0.
0, 1, 56
Determine r, given that r**5/3 + 9*r**
|
{
"pile_set_name": "DM Mathematics"
}
|
t of g?
6
Let c(z) = -15*z + 11. Let t(b) = 44*b - 32. Suppose -s = s - 34. Let x(f) = s*c(f) + 6*t(f). What is the units digit of x(5)?
0
Suppose -5*i + 22 = -28. Suppose 3*c + 1 - i = 0. Suppose c*u = -6, 4*s + u + 4 = 6. What is the units digit of s?
1
Let i = 14 + -6. Let y(g) = -4*g + 1. Let b be y(i). Let q = b - -66. What is the units digit of q?
5
Let r be 118 - 20/5 - 3. Suppose -y = -4*y + r. What is the tens digit of y?
3
Suppose -5*n + 1794 = x, -x + 1444 + 344 = 3*n. What is the thousands digit of x?
1
Suppose 0 = 2*l - 2*d - 538, 2*l - l + 3*d = 253. Suppose -i + l - 84 = 2*v, 553 = 3*i + v. What is the units digit of i?
5
Let l(z) = z**2 - 6*z - 4. Let b be l(5). Let j = b + 14. Let q = j - 1. What is the units digit of q?
4
Let g(u) = 8*u - 9. Let v(p) = -9*p + 9. Let d(h) = -7*g(h) - 6*v(h). Let m be (-8*1)/((-1)/(-1)). What is the tens digit of d(m)?
2
Let d(z) = -z - 4. Let i be d(-7). Suppose 3*l + 2 = -x, 3 + 5 = 5*x - i*l. What is the units digit of x?
1
Suppose -3*s - 58 = -13. Let k be 2/5 - 39/s. Suppose -k*z + 21 = -153. What is the tens digit of z?
5
Suppose -5*i - 23 = 2*g, 5*i = -15 - 0. What is the tens digit of (1275/34)/(0 + (-2)/g)?
7
Suppose -3*n + 4 = 4*v + n, -3*n = 6. Suppose -v*q = -4 - 5. Let t(o) = 11*o - 7. What is the units digit of t(q)?
6
Suppose 48*l = -26*l + 408628. What is the hundreds digit of l?
5
Let q(h) = 14*h + 24. Let v be q(-2). What is the tens digit of 212 - (21/(-14))/((-3)/v)?
1
Let p(v) = -3*v - 15*v**2 + 16*v**2 + 0*v + 3. Let f be p(4). Let n(b) = b**2 - 4*b + 10. What is the units digit of n(f)?
1
Suppose 2*p - 10*p + 2848 = 0. Suppose 72 + p = 4*m. What is the hundreds digit of m?
1
Let w = -272 + 606. Let a = w + -222. Suppose 3*c - 20 = a. What is the units digit of c?
4
Let u(m) = m**2 - 11*m - 8. Let r(o) = -2*o - 10. Let f(k) = -1. Let j(y) = -18*f(y) + 2*r(y). Let w be j(-4). What is the units digit of u(w)?
4
Suppose -2*f - 3*f + 1770 = 0. Suppose -5*a - 5*x - 94 = -f, 0 = 3*x - 3. What is the tens digit of a?
5
Let q(s) = 4*s**2 - 15*s - 11. Let u(t) = 3*t**2 - 54*t + 7. Let r be u(18). What is the tens digit of q(r)?
8
Let k(y) = 62*y**2 + y - 3. Let d be k(-3). Suppose -c + 2*u + d = 3*c, -3*u - 128 = -c. What is the units digit of c?
0
Suppose -5*q = -5*r + 275, -8*r + 5*r = 2*q - 145. What is the tens digit of r?
5
Suppose y + 0 = 3*w - 1, 2*w - 8 = -3*y. Let g be y + 3/(-1) - 0. What is the units digit of (-1351)/(-21) - g/(-3)?
4
Let z be 2/(-4)*(-888)/6. Let q = 112 - z. What is the tens digit of q?
3
Let j(q) be the first derivative of 8*q**3/3 - q**2 + 6*q - 18. What is the tens digit of j(-3)?
8
Suppose 3*c = -10*g + 12*g - 1810, -4*g + 3620 = -c. What is the tens digit of g?
0
Let h be -1 - (-5)/((-5)/(-53)). Suppose y - 4*p = -2*y + 302, -2*y + 3*p + 201 = 0. Let x = y - h. What is the units digit of x?
0
Suppose 4*m - 2*d - 2*d - 5168 = 0, 0 = 3*m + 3*d - 3882. What is the hundreds digit of m?
2
Let k be 3665/25 - 6/10. Suppose x = -3*x + 2*i + k, 4*i = 5*x - 187. Let u = -30 + x. What is the units digit of u?
5
Let k(x) = 13*x**2 - x + 2. Let c(p) = -p**2 - 7*p - 8. Let m be c(-6). What is the units digit of k(m)?
6
Let m = 1340 - 651. What is the tens digit of m?
8
Suppose 4*i - c - 14119 = 0, -c - 6008 - 4581 = -3*i. What is the tens digit of i?
3
What is the hundreds digit of 4/(-54) - (-98861)/189?
5
What is the tens digit of (-20)/(-4)*-1 + 504?
9
Let g = -392 - -1663. What is the tens digit of g?
7
What is the thousands digit of (-11125)/(-10) - 1*3/(-6)?
1
Suppose 5*z - 7*z - 20 = 0. What is the tens digit of z/(-5)*-10*(-22)/8?
5
Suppose -9*o - 3*o + 60 = 0. Suppose -99 - 351 = -o*l. What is the tens digit of l?
9
What is the tens digit of -4 - (-5 + -2 + -5912)?
1
Suppose 4*f + 53*p - 58*p - 8839 = 0, 3 = -p. What is the tens digit of f?
0
Suppose -6042 = -4*f - 5*z, 3*z + 1037 = 2*f - 1995. What is the tens digit of f?
1
Suppose -a + 5*g = -3588, 25*g - 29*g = -5*a + 17982. What is the tens digit of a?
9
Let n be (-4)/(-8)*1*44. Let f = 40 - n. What is the tens digit of f?
1
Suppose p + 2*p = -6. Let v = p + 5. Suppose u = -v*u + 92. What is the tens digit of u?
2
Let f be (-25)/(-10) - 1/(-2). Suppose 2*j - 3*j + f = 0. Suppose -4*d + 4*c + 91 + 109 = 0, -56 = -d + j*c. What is the tens digit of d?
4
Let w(x) = x**2 + 8*x + 11. Let f be w(-7). Suppose -f*h - 1 = -9. What is the units digit of -4 + (24 - -4)/h?
0
Let v = 2921 + -2004. What is the hundreds digit of v?
9
Suppose 2*l - 5249 = -5*p - 1670, 4*l - 5*p = 7113. What is the thousands digit of l?
1
Let z(w) = w**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
ect the terms in -8*t**2 - 8*t**2 + 7*t**2 + 15*t**2 + 13*t**2.
19*t**2
Collect the terms in -10*h - 9 - 15*h - 11*h + 34*h.
-2*h - 9
Collect the terms in 13*b**3 - 37*b**3 + 9*b**3.
-15*b**3
Collect the terms in 37*b**2 - 124*b**2 + 46*b**2 + 44*b**2.
3*b**2
Collect the terms in -5*u - 36*u**2 + 5*u.
-36*u**2
Collect the terms in 2*w - 3*w + 13 - 37.
-w - 24
Collect the terms in -9*r**3 + 0*r**3 + 4*r**3 - 12*r**3.
-17*r**3
Collect the terms in 6 - 4*b - 2*b - 10*b.
-16*b + 6
Collect the terms in j**3 - 4*j**3 + j**3 + j**3 + 4*j**3.
3*j**3
Collect the terms in -32*o - 38*o + 70*o - 9*o**3.
-9*o**3
Collect the terms in 5*q - 17*q + 9*q + 7*q.
4*q
Collect the terms in 4*m**2 + 3*m**2 - 25*m**2 - m**2 + 14*m**2.
-5*m**2
Collect the terms in 94 - o**2 + 5*o**2 - 147 + 53.
4*o**2
Collect the terms in -191 + 2*h + 191.
2*h
Collect the terms in 618*w - 1222*w + 601*w.
-3*w
Collect the terms in 81*w - 68*w**3 - 81*w.
-68*w**3
Collect the terms in -15*l**3 + 63*l**3 + 32*l**3.
80*l**3
Collect the terms in 36*j**2 - 14*j**2 - 19*j**2.
3*j**2
Collect the terms in 0*r + 40*r - 8*r - 17*r.
15*r
Collect the terms in -32*v**3 - 4*v**2 + 2*v**3 + 4*v**2.
-30*v**3
Collect the terms in -2*u - 3*u + 7*u.
2*u
Collect the terms in m**3 + 2*m**3 + 5*m**3 + 0*m**3.
8*m**3
Collect the terms in -159*g**3 + 8*g**2 - 8*g**2.
-159*g**3
Collect the terms in -1 - 21*u**2 + 0*u**2 + 1.
-21*u**2
Collect the terms in 5*y**3 + 10*y**3 - 12*y**3.
3*y**3
Collect the terms in 11*q - 2*q**3 + 29*q**2 - 4*q**2 - 11*q.
-2*q**3 + 25*q**2
Collect the terms in 3*i - 112 + 51 + 17*i + 57.
20*i - 4
Collect the terms in -312 + 3*m - 5*m + 2*m + 4*m**2.
4*m**2 - 312
Collect the terms in 4*m - 3*m + 15*m.
16*m
Collect the terms in 10*t - 98*t - 72*t.
-160*t
Collect the terms in -3*k - 6*k**3 - 9*k**3 + 3*k.
-15*k**3
Collect the terms in 21*m**3 - 21*m**3 + 10*m**3.
10*m**3
Collect the terms in 13*w**2 + 18*w**2 - 48*w**2 + 18*w**2.
w**2
Collect the terms in 2 + p**2 - 1 - 1.
p**2
Collect the terms in -2*y**3 - y + 15*y - 14*y.
-2*y**3
Collect the terms in -9*n**3 + 23*n**3 - 10*n**3.
4*n**3
Collect the terms in s**2 - 4*s**2 + 5*s**2 + 5*s - 5*s.
2*s**2
Collect the terms in -32 - 6*d - 28 + 60.
-6*d
Collect the terms in 4*m + 0*m**2 + 0*m**2 + m**2.
m**2 + 4*m
Collect the terms in 44 + g**3 - 88 + 44.
g**3
Collect the terms in 450*i**3 - 226*i**3 - 226*i**3.
-2*i**3
Collect the terms in 52 - 93 + 41 - 2*a.
-2*a
Collect the terms in 596*f + f**3 - 596*f.
f**3
Collect the terms in 88*x**2 - 32*x**2 + 27*x**2.
83*x**2
Collect the terms in -7*b**3 + 13*b**3 + 16*b**3.
22*b**3
Collect the terms in 6*p**2 - 19*p**2 + 4*p**2 - 15*p**2.
-24*p**2
Collect the terms in -10*z**3 - 18*z**3 + 12*z**3.
-16*z**3
Collect the terms in -4*c**3 - 17*c + 16*c + c.
-4*c**3
Collect the terms in -8 + 11 - 4*j**2 - 3.
-4*j**2
Collect the terms in 7866*h - 3*h**2 - 7866*h.
-3*h**2
Collect the terms in -22*t + 14*t + 22*t.
14*t
Collect the terms in -11775 + 23*d + 11775.
23*d
Collect the terms in 108 - 8*t**2 + 12*t**2 - 59 - 49.
4*t**2
Collect the terms in -219*f**2 + 8*f**3 + 219*f**2.
8*f**3
Collect the terms in -35 + 29 + 25 + 3*a.
3*a + 19
Collect the terms in 2*c**2 + 9*c**2 - 5*c**2.
6*c**2
Collect the terms in 495*c - 6*c**3 - 495*c.
-6*c**3
Collect the terms in -14*o + 11*o + 29*o.
26*o
Collect the terms in -81*m + 40*m + 49*m.
8*m
Collect the terms in 38*x**2 + 35*x**2 - 73*x**2 + x**3.
x**3
Collect the terms in -34*s + s**2 + 34*s - 2*s**2.
-s**2
Collect the terms in 19*a**2 + 21*a**2 - 88*a**2 + 25*a**2 + 28*a**2.
5*a**2
Collect the terms in 4*q**2 - 2*q**2 + 0*q**2 + 5.
2*q**2 + 5
Collect the terms in -16 + 28 - 66*j - 13 + 10*j.
-56*j - 1
Collect the terms in -624*q + 329*q + 371*q.
76*q
Collect the terms in -1955*n**3 - 345*n**3 + 281*n**3.
-2019*n**3
Collect the terms in -4 - 30*j**3 + 4 + 25*j**3.
-5*j**3
Collect the terms in 504*i - 504*i - 17*i**3.
-17*i**3
Collect the terms in 746*g - 746*g + g**2 - 8*g**2.
-7*g**2
Collect the terms in -3*d - 662 + 662.
-3*d
Collect the terms in 4306 - x - 4306.
-x
Collect the terms in -s + 9*s + 4*s + 6*s.
18*s
Collect the terms in -72 + 2*s + 0*s**2
|
{
"pile_set_name": "DM Mathematics"
}
|
104. Determine p(7).
29
Let a(b) = 39*b**3 + 549*b**2 + 48*b + 50. Determine a(-14).
-34
Let g(q) = 32*q**2 + 346*q - 1366. Give g(4).
530
Let j(y) = -4*y**2 + 323*y - 1301. Calculate j(76).
143
Let n(b) = 3*b**3 - 108*b**2 + 901*b - 3162. What is n(26)?
-16
Let h(n) = -45*n**2 + 29*n + 62. What is h(-4)?
-774
Let z(o) = -27724*o - 8566720. What is z(-309)?
-4
Let m(o) = 21*o**3 + 6593*o**2 - 319*o - 1690. What is m(-314)?
-120
Let f(d) = -2*d**3 + 173*d**2 + 4509*d - 25. Give f(-21).
101
Let u(b) = -325*b - 4161. Determine u(-16).
1039
Let x(z) = -33*z + 1513. What is x(37)?
292
Let v(w) = 21360*w + 2221446. Calculate v(-104).
6
Let d(x) = -x**2 - 14421*x + 173203. Determine d(12).
7
Let y(w) = -43083*w + 85551. Determine y(2).
-615
Let z(v) = -v**3 - 23*v**2 + 7*v - 745. What is z(-27)?
1982
Let l(v) = -69*v**2 - 58363*v + 9301. Determine l(-846).
-5
Let l(k) = -367*k**3 + 4211*k**2 - 1913*k - 14. What is l(11)?
-3
Let r(k) = -5*k**3 - 532*k**2 - 239*k - 1662. Calculate r(-106).
1200
Let b(y) = -1073*y - 40933. Determine b(-39).
914
Let f(y) = 26*y**3 + 12*y**2 + 76*y + 220. Calculate f(-5).
-3110
Let s(l) = 202*l + 67938. Calculate s(-338).
-338
Let f(q) = q**2 - 1279*q + 30130. Calculate f(24).
10
Let c(x) = 116*x**2 + 5385*x - 134. Determine c(-47).
3015
Let c(o) = -106215*o - 424851. Determine c(-4).
9
Let q(x) = -x**3 + x**2 - 19*x - 499. Determine q(-7).
26
Let y(v) = 14*v**2 + 301*v - 6619. Calculate y(-35).
-4
Let r(c) = 3*c**3 - 336*c**2 + 3074*c - 2636. Determine r(9).
1
Let i(z) = -2002*z**2 - 28024*z + 49. What is i(-14)?
-7
Let n(o) = 9032*o + 1147059. What is n(-127)?
-5
Let h(w) = 229*w - 35548. What is h(155)?
-53
Let l(v) = 1320*v + 3960. Calculate l(-3).
0
Let s(i) = 14*i**2 - 308*i + 128. What is s(33)?
5210
Let s(r) = -2*r**3 - 158*r**2 + 1472*r + 126981. What is s(-78)?
-3
Let t(c) = -22*c**2 + 18829*c + 135474. Determine t(863).
-17
Let j(b) = -2*b**2 + 926*b - 52403. Determine j(397).
1
Let o(r) = 182*r + 1635. What is o(-9)?
-3
Let r(w) = -1209*w**2 + 12053*w + 19. Give r(10).
-351
Let p(d) = -426*d + 1001. Give p(1).
575
Let h(y) = -3265*y + 969699. Determine h(297).
-6
Let a(n) = -11719*n - 128711. What is a(-11)?
198
Let w(b) = b**3 + 31*b**2 + 2144*b + 63503. Give w(-30).
83
Let d(g) = -g**3 - 26*g**2 - 46*g - 151. Determine d(-21).
-1390
Let q(h) = -578*h - 799. Calculate q(-2).
357
Let u(t) = -1058*t - 405133. Calculate u(-383).
81
Let x(v) = -v**2 + 8221*v - 24651. Calculate x(3).
3
Let d(p) = 5*p**2 - 65*p - 45. What is d(14)?
25
Let p(k) = -48*k**3 + 2*k**2 - 5. What is p(2)?
-381
Let p(h) = -2419*h - 47379. What is p(-19)?
-1418
Let q(d) = -308*d + 1774. Calculate q(4).
542
Let k(x) = x**3 + 77*x**2 - 1139*x + 2899. Determine k(-90).
109
Let f(t) = t**3 - 45*t**2 + 485*t - 183. What is f(26)?
-417
Let o(t) = 2*t**3 + 28*t**2 + 39*t - 171. What is o(-6)?
171
Let j(d) = -7*d**2 + 132*d - 88. What is j(16)?
232
Let l(k) = -k**3 - 333*k**2 + 498*k + 54732. Calculate l(-334).
-44
Let w(d) = 16435*d + 4799022. Calculate w(-292).
2
Let a(b) = 5*b**2 + 7*b - 2751. Determine a(30).
1959
Let k(d) = 59*d**3 + 3*d**2 - 120*d - 241. Determine k(-2).
-461
Let j(c) = -14629*c + 2340630. Give j(160).
-10
Let n(f) = f**3 - 107*f**2 + 911*f - 97474. What is n(107)?
3
Let s(v) = 34052*v - 578878. Determine s(17).
6
Let b(u) = 23989*u - 2302960. Give b(96).
-16
Let s(w) = -w**2 - 133976*w - 2143437. Calculate s(-16).
-77
Let h(j) = j**3 - 7*j**2 - 300*j + 2111. What is h(7)?
11
Let g(u) = -4203*u - 32398. What is g(-8)?
1226
Let i(z) = 112*z**3 + 9*z**2 + 195*z + 187. Give i(-1).
-111
Let a(s) = -s**3 + 1217*s**2 + 6199*s + 442. Calculate a(-5).
-3
Let h(t) = 836*t - 41279. Calculate h(50).
521
Let a(p) = -2384*p + 483947. What is a(203)?
-5
Let d(i) = 2073*i - 441517. Determine d(213).
32
Let q(w) = 21*w**3 + 11*w**2 - 45*w + 66. What is q(3)?
597
Let m(n) = -4*n**3 - 97123*n**2 - 97111*n + 11. What is m(-1)?
3
Let a(l) = -10*l**2 - 944*l + 7101. What is a(7)?
3
Let h(r) = -1783*r + 123016. Determine h(69).
-
|
{
"pile_set_name": "DM Mathematics"
}
|
2.
-735 + 3*sqrt(3)
Simplify (-5*sqrt(432))/(sqrt(28)/(sqrt(7)*-2)) - ((sqrt(75) + -1 - -1*sqrt(48)) + sqrt(21)/((sqrt(126)/sqrt(2))/sqrt(9))).
1 + 50*sqrt(3)
Simplify -1*(5 + ((sqrt(539) + -2*sqrt(539)*-1)*-2 - (-5 + (sqrt(539) - (sqrt(539) + 0)) + sqrt(539))*1))**2*4.
-106044 + 3920*sqrt(11)
Simplify (sqrt(1936) + (sqrt(1936) - (sqrt(1936)*-1 + sqrt(1936))))/((sqrt(8) + sqrt(16)/sqrt(2))*1) + 6*(sqrt(968)*-1*1 - sqrt(968))**2.
11*sqrt(2) + 23232
Simplify (-5*1*(-2 + sqrt(242) - sqrt(242)) + -1 + -3*(sqrt(242) + 3) + 3 + 1*sqrt(242) + sqrt(242))**2 + 5.
-66*sqrt(2) + 256
Simplify (-2 + sqrt(11) + 3 - (sqrt(11) + 2 - sqrt(11))*6) + (-6*(sqrt(275) + (sqrt(275) + 0)**2) - ((3*(0 + sqrt(275) + sqrt(275)))**2 - sqrt(275))).
-11561 - 24*sqrt(11)
Simplify (-4*2*sqrt(117)*6*-6)/(sqrt(729) - (sqrt(729) + (sqrt(729) - 2*(sqrt(729) - (sqrt(729) - 1*sqrt(729))))) - (2*sqrt(729)*-1 + sqrt(729))) + 4.
4 + 16*sqrt(13)
Simplify 0 + (((sqrt(225)*-6)/(5*sqrt(12)/sqrt(4)))**2 - ((sqrt(75) - 2*sqrt(75))**2 + sqrt(75) - (sqrt(3) + (0 + sqrt(3) + 3 - sqrt(3))**2))).
-4*sqrt(3) + 42
Simplify ((-1*6*-2*sqrt(102)*-6)/(sqrt(36)/sqrt(6)*-4 + -3*sqrt(18)/sqrt(3))*-5)**2.
2203200/49
Simplify ((sqrt(42) - sqrt(42)*-5*6)/(3*sqrt(42)/sqrt(7) - sqrt(6)) + 0)*3.
93*sqrt(7)/2
Simplify ((sqrt(20)/(-3*sqrt(20)/sqrt(2)) - (-5 + sqrt(18)/(sqrt(36) + sqrt(9)))) + -1 + sqrt(162)*-3 + (sqrt(162) - (1 + sqrt(162)))*1)**2.
-166*sqrt(2) + 13859/9
Simplify -2*(2 + sqrt(891)) - 4*(3*sqrt(891) - sqrt(891)) - (-2 + (-1 + sqrt(891))*-4*-4).
-234*sqrt(11) + 14
Simplify (-1*(0 + (sqrt(210)/sqrt(6)*4)/sqrt(7) + sqrt(80)*3 + sqrt(45) + sqrt(405) + -4))**2.
-224*sqrt(5) + 3936
Simplify (1 + -3 + (sqrt(343) - (-4*(sqrt(343) + -3) + sqrt(343))) + -3*-5*1*sqrt(343)*1)**2.
-3724*sqrt(7) + 124019
Simplify 2*(-2*((sqrt(33) + -1*sqrt(825))/sqrt(11) - sqrt(12)/(sqrt(4) + (-1*sqrt(400) + sqrt(4) - sqrt(4)))))**2.
9800/27
Simplify 6*1*((sqrt(720) - (-1 + -1 + sqrt(720)) - ((sqrt(720) + (sqrt(720) - (sqrt(720) - 1*sqrt(720))))**2 + -2)) + (-1*sqrt(720)*-2*6)**2)*4.
2419296
Simplify 6*(1 + -1 + (4 + sqrt(288)*1 + sqrt(288) + -1)**2).
864*sqrt(2) + 6966
Simplify (2*(3*(-3*-1*sqrt(405) + sqrt(405) + sqrt(405) + sqrt(405)) - (0 + 0 + sqrt(405) - sqrt(405) - sqrt(405))*2)*-5)**2.
16200000
Simplify -1 + (-1 + 0 + -2 + sqrt(3) - ((sqrt(300) + 1)**2 + sqrt(3) + 1 + 3)) + 2.
-307 - 20*sqrt(3)
Simplify ((sqrt(294)*1 + sqrt(294))*-5 + sqrt(294))/(sqrt(30)/(sqrt(800)/sqrt(5)))*6.
-1512*sqrt(2)
Simplify 2*(((sqrt(500) + 1)*2)**2*-4 + 1*(2 + sqrt(500) + -3))*-3.
1860*sqrt(5) + 48102
Simplify (-6*6*sqrt(85)*1*6)/((sqrt(720) - 4*(sqrt(720)*-1 + sqrt(720))) + sqrt(720) + (5*-1*sqrt(720) - sqrt(720))).
9*sqrt(17)/2
Simplify (-3*(sqrt(48) + 0) + sqrt(48) - ((sqrt(432)/(sqrt(9)*3))**2 - sqrt(48))) + -6*(sqrt(48) + 0)*3*5.
-364*sqrt(3) - 16/3
Simplify ((-4*(sqrt(65) + sqrt(65)*1) - (sqrt(65) + (sqrt(65) - sqrt(65)*-1)*6))/(-3*sqrt(80)*2))**2 + -5.
317/64
Simplify 4*(3 + 0 + sqrt(252)*-1 + 0)**2*1*5.
-720*sqrt(7) + 5220
Simplify -4*sqrt(245)*1 + (sqrt(245) + 2 + sqrt(245) - sqrt(245))**2 + -1 + (0 + sqrt(245))*1 + (3*(sqrt(245) - (1 + sqrt(245))) + sqrt(245))**2 + 0.
-35*sqrt(5) + 502
Simplify (2*sqrt(130)*-1*-6*6)/((1*sqrt(80)*-2)/(sqrt(96)/(sqrt(12)*1 + sqrt(12) - sqrt(12)))).
-36*sqrt(13)
Simplify 5*(-2*sqrt(475) + -5 + -5*(sqrt(475) + (5*sqrt(475))**2)) + -2.
-296902 - 175*sqrt(19)
Simplify (-6*-1*(sqrt(152) + (sqrt(152) - -2*sqrt(152)))*-4)/(1*sqrt(1152)*1*4).
-2*sqrt(19)
Simplify sqrt(605) + 4 + 2 + sqrt(125) + 6*(-1 + sqrt(80) + 5)**2.
208*sqrt(5) + 582
Simplify (-5 + (-6*sqrt(637)*-1*-2*-6 - (1 + sqrt(637) + -5 + 3*1*sqrt(637))))**2.
-952*sqrt(13) + 2945489
Simplify (-4 + (sqrt(56)/sqrt(2)*6)/(-4*(sqrt(36) + sqrt(4))))**2 - ((sqrt(42)/sqrt(24) + sqrt(7))**2 + -5 + (2*sqrt(21))/sqrt(3)*-6).
399/64 + 15*sqrt(7)
Simplify ((sqrt(204) + 1*sqrt(204))*1)/(sqrt(144)/(1*sqrt(12))) - (-2*-2*(sqrt(425) + 2))**2.
-6864 - 318*sqrt(17)
Simplify (1*sqrt(2662)*-5 - ((sqrt(2662) - 5*-1*sqrt(2662)) + sqrt(2662)))/(1*(sqrt(2)*-1*-3 - 2*sqrt(128))).
132*sqrt(11)/13
Simplify -2*(((sqrt(112)*-1 + sqrt(28))*-6)/((sqrt(324) - sqrt(324)*-3)*-5))**2*3.
-7/150
Simplify (-1*sqrt(17)*-1 - sqrt(1700)*4) + (((5 + sqrt(2448) + 2 - sqrt(2448)) + sqrt(2448))*-4)**2.
2649*sqrt(17) + 39952
Simplify (5 + sqrt(2940)/sqrt(12) + sqrt(5))**2 + 0 + (sqrt(550)/(sqrt(10) + 2*sqrt(10)))/(sqrt(99) - sqrt(99)*-2).
2161*sqrt(5
|
{
"pile_set_name": "DM Mathematics"
}
|
((t/((t*(t/(t**(2/69)/t))/t)/t)*t*t**(-5/6))/(t**(-7)*t*t*t*t/(((t*t**(-31))/t)/t)))**(-17) assuming t is positive.
t**(22525/46)
Simplify t*(t*t**(-2/9))/t*t*t*t*t**8*(t**(-2))**(-17)*(t**1*t*t)**(-14/5)/(t*t/(((t**2/t)/t)/t))**(-2/155) assuming t is positive.
t**(52196/1395)
Simplify ((((s*s/s**3*s)**(-7/5))**(-30))**(2/43))**(-25) assuming s is positive.
1
Simplify ((j**(1/14)/(j*j/(j/j**(-26))*j))**21)**32 assuming j is positive.
j**16176
Simplify (((t/((t**(-2/33)/t)/t))/t**(-11))/((t/(t**(3/7)/t))/t**(-21)))**(1/21) assuming t is positive.
t**(-1966/4851)
Simplify (((z**5/z)/(z**(-1)*z))/((z**(-2/3)*z)/(z/(z**(2/19)*z))))/((z*z**(-2/7)*z*z)**(-5/2)/(z**(1/3)*(z**(1/6)*z)/z)) assuming z is positive.
z**(4328/399)
Simplify (p/(p/p**0)*p**(-2/9)*(p/(p*((p**1*p)/p)/p))**(-2/61))/(p**(5/6)*p/(p**10/p))**15 assuming p is positive.
p**(1931/18)
Simplify ((r**(-29)/(r/(r**(-2/33)/r)))/(((r/r**(-2/129))/r)/r)**9)**(2/81) assuming r is positive.
r**(-63004/114939)
Simplify ((n**4)**21*(n**(-11))**(-3/5))**(2/11) assuming n is positive.
n**(906/55)
Simplify ((v*v**(-1/4)*v*v)/(v**(3/11)/v))**(16/9)*(v*v/(v*v/v**2)*v)**26/(v*v**(-2))**23 assuming v is positive.
v**(1179/11)
Simplify (y**(1/9)/y*y*(y/y**(1/4))/y*y*(y/y**(2/3))/(y**(-2/15)*y))/((y*(y*((y*y*y**(-2/7))/y)/y)/y*y*y**(-1/3))/(y*y**1/y)**(1/32)) assuming y is positive.
y**(-10301/10080)
Simplify ((i/(i*i**0)*(i*i**(-3/5)/i)/i)/(((i/(i/(i*i**(-6/5))))/i*i)/i**6))**0 assuming i is positive.
1
Simplify ((((n/(n*(n*n**(-14))/n)*n)/n**(-4/13))**(-45))**(-29))**(-3/14) assuming n is positive.
n**(-779085/182)
Simplify ((m/(m/m**(-1/12)))/m**(-7))**(-45/7)*((m/m**(-9))/(m*m*((m/(m**(1/9)*m))/m)/m*m*m*m))**(3/16) assuming m is positive.
m**(-3623/84)
Simplify ((a/(((a/(a**(2/13)/a))/a)/a))**21/(a**(9/2)/a*a*a/a**12))**22 assuming a is positive.
a**(8789/13)
Simplify ((t**(-4))**(-1/11))**11/(((t*t*t/t**(-1/5))/t)/(t*t*t**(-7/2)*t))**(-13/4) assuming t is positive.
t**(511/40)
Simplify ((t/((t*t**(-1/3))/t)*t)**(2/21)/(t**4/t*t*t)**(2/9))**(-39) assuming t is positive.
t**(104/3)
Simplify ((((y*y**(1/5))/y)**(8/3)/(y**3)**17)**36)**(-6/11) assuming y is positive.
y**(54504/55)
Simplify ((f**(17/4))**(-46)*f**17/f**(-1/21))**(-7/4) assuming f is positive.
f**(7495/24)
Simplify ((o*o**5)/o*o*o*o*o/o**7)**46/((o**(-2/7))**(-47))**(-44) assuming o is positive.
o**(4780/7)
Simplify ((c*c/((c*c**(21/5)*c)/c))**(-5/2)*c*c**(2/59)*c**(4/11))**6 assuming c is positive.
c**(36594/649)
Simplify ((l**(-1)*l*l/l**6*(l**(2/7))**(-1/3))**(-2/69))**12 assuming l is positive.
l**(856/483)
Simplify ((s*s**0)/(s**9/s*s*s)*(s/((s*s**(-6/7)*s)/s))/s*s**(2/7))/((s**(-7/3)/s**(-4/7))/(s**(-1/4)/s**8)) assuming s is positive.
s**(-1289/84)
Simplify (y*(y**(-2/5)/y)/y)**10*((y*y**0)/y)**42*((y*y*y*y*(y**4/y)/y)/y*y/y**(2/9))/(y**(2/17)/y*y**(1/2)) assuming y is positive.
y**(-2399/306)
Simplify (((l*l/(l*(l*(l/l**(-8))/l)/l*l*l))/l)/l*l/l**(-2/39))**(-3/14)*(l**(-1/5)/l**(-5))/(l/(l**(-2/3)/l))**(10/3) assuming l is positive.
l**(-8014/4095)
Simplify ((a**(2/5))**(1/21)*(a**(-2/9)*a)**(-27/2))/(a**5*a**(1/9)*a*a)**(-35) assuming a is positive.
a**(150197/630)
Simplify (((h/(h*h*h**1))/h)**(4/9))**(-1/3)/((h**(-2/9)/(h*(h**5/h*h)/h*h*h))/((h/((h*h/h**5)/h)*h)/(h*h**(4/3)))) assuming h is positive.
h**(34/3)
Simplify ((n**1*n*n)**(-1/8))**(9/4)*(n**(2/5))**30*n**(-3/7)/(n/(n/n**(-5))) assuming n is positive.
n**(3523/224)
Simplify (l**(-2)/((l*l**(3/2))/l*l)*l**(2/5)/l**(-1))/(l**1/l**(-2/7)*(l*l**(-2))/(l/(l**(-1/5)*l))) assuming l is positive.
l**(-223/70)
Simplify ((c**(-2/11)/c)**20/((c*c**(-2/13))/c)**(-5/7))**(-1/9) assuming c is positive.
c**(23770/9009)
Simplify (y/(y*y**(-27/5))*y**(-14))/((y*y**(-2/17)/y)/(y**26*y)) assuming y is positive.
y**(1574/85)
Simplify ((d*d*d**(2/5))/d**(2/3)*(((d/(d**(1/10)/d))/d*d)/d)/((d**(1/5)/d)/d))/((d**(-7/4)/d*d)/(d*d*d*d/d**(1/2)))**(-10) assuming d is positive.
d**(-721/15)
Simplify ((w*w**(-3)*w**(-2/9))/(w**(1/3))**43)/((w*w/w**1*w)**(-20)/(w**(2/7)*w*w)**3) assuming w is positive.
w**(1909/63)
Simplify ((((z/(z*z*z**(3/4)*z))/z)/z)/(z/(((z**(1/5)*z)/z)/z)))**(-1/12)*((z*z*z/(z**5*z))/(z**(3/5)/z))**26 assuming z is positive.
z**(-16093/240)
Simplify (((i/(i*i**7/i)*i**(-7))/(i**4/i**(-3)))**38)**0 assuming i is positive.
1
Simplify ((k*k**(-2/23)*k**5*k)/(
|
{
"pile_set_name": "DM Mathematics"
}
|
decimal places.
-14048
Round -178672.3 to the nearest one hundred thousand.
-200000
What is 65203.0787 rounded to the nearest 100?
65200
Round 3433.617484 to the nearest ten.
3430
What is -0.0001417859318 rounded to 5 decimal places?
-0.00014
What is -1717.326349 rounded to the nearest one hundred?
-1700
What is 0.00531473731 rounded to 6 dps?
0.005315
What is -0.00116689828 rounded to 6 dps?
-0.001167
Round -17310921.817 to the nearest 1000.
-17311000
Round 7038.0414 to the nearest 10.
7040
What is 0.00001928563977 rounded to 7 decimal places?
0.0000193
What is -22149.4475 rounded to the nearest 10?
-22150
What is 460.356568 rounded to two dps?
460.36
What is 7237079.26 rounded to the nearest 1000000?
7000000
What is -0.000008886341 rounded to six dps?
-0.000009
What is -0.088480297 rounded to two decimal places?
-0.09
Round -0.00002625978705 to 7 dps.
-0.0000263
Round 0.00000841589096 to 6 decimal places.
0.000008
Round -0.0000194386493 to 7 decimal places.
-0.0000194
Round -0.00041711301 to four decimal places.
-0.0004
What is -0.008640059043 rounded to seven decimal places?
-0.0086401
What is -83799574.8 rounded to the nearest one million?
-84000000
What is -0.000318841121 rounded to five decimal places?
-0.00032
Round 3667883.55 to the nearest one hundred.
3667900
What is -45.4656178 rounded to zero decimal places?
-45
Round 118.2984799 to one dp.
118.3
Round -344.5390428 to the nearest 10.
-340
What is -0.8203277998 rounded to two decimal places?
-0.82
Round -0.0000574190907 to five decimal places.
-0.00006
What is 14090456.9 rounded to the nearest one hundred thousand?
14100000
Round -27992265510 to the nearest 1000000.
-27992000000
What is 4215.373056 rounded to 1 decimal place?
4215.4
What is -25.0608223 rounded to two decimal places?
-25.06
What is 3373060.502 rounded to the nearest 100000?
3400000
What is -423965860 rounded to the nearest one hundred thousand?
-424000000
What is -692973943.5 rounded to the nearest ten thousand?
-692970000
Round 3.530929127 to 3 decimal places.
3.531
Round 1047.7689 to the nearest 100.
1000
Round -0.004512067463 to six dps.
-0.004512
What is 0.00085588936 rounded to 4 decimal places?
0.0009
Round -1.28892748 to two decimal places.
-1.29
Round -130.45528257 to one dp.
-130.5
What is 18616368.29 rounded to the nearest one hundred thousand?
18600000
Round 658522.06 to the nearest 100.
658500
Round 86.041193 to two decimal places.
86.04
Round 0.581647801 to 3 dps.
0.582
Round 15532.71685 to the nearest 10000.
20000
Round 643.126177 to the nearest one hundred.
600
What is 0.019247446 rounded to three dps?
0.019
Round 0.000008918643 to 7 dps.
0.0000089
What is 0.00005376740263 rounded to 5 dps?
0.00005
What is -0.24383842346 rounded to 5 dps?
-0.24384
Round 642.579136 to the nearest 10.
640
Round -11645.9326 to the nearest 1000.
-12000
Round -14.2214783 to the nearest integer.
-14
Round -115614306 to the nearest one thousand.
-115614000
Round 0.0338461433 to 4 dps.
0.0338
Round 0.196312581 to 2 decimal places.
0.2
Round 5116.1293 to the nearest one thousand.
5000
Round -58.122928 to 1 dp.
-58.1
Round 1122.7616 to the nearest 100.
1100
Round 1.09467749 to 3 dps.
1.095
What is 25286456.15 rounded to the nearest one hundred thousand?
25300000
Round -2.737390462 to 2 decimal places.
-2.74
Round 2393713889 to the nearest one hundred thousand.
2393700000
What is -0.291997087 rounded to four dps?
-0.292
What is 0.0000968890772 rounded to 6 dps?
0.000097
Round 23.62575696 to the nearest 10.
20
What is -108725.35 rounded to the nearest ten thousand?
-110000
What is 0.0193928618 rounded to six decimal places?
0.019393
Round -205630996.1 to the nearest 10000.
-205630000
What is 7.0559632 rounded to 0 decimal places?
7
What is -0.0202491211 rounded to 4 dps?
-0.0202
What is 1047765.234 rounded to the nearest one thousand?
1048000
What is -5.02737952 rounded to two dps?
-5.03
What is 91633379 rounded to the nearest 1000000?
92000000
Round 0.0006496723 to seven dps.
0.0006497
Round -1905.2253 to the nearest integer.
-1905
What is -0.000000535107815 rounded to seven decimal places?
-0.0000005
Round -0.00558889947 to seven decimal places.
-0.0055889
Round -531205.41 to the nearest 1000.
-531000
What is -40218112.8 rounded to the nearest ten thousand?
-40220000
What is 1434.3417183 rounded to zero dps?
1434
Round 10.0092746 to the nearest integer.
10
What is 948688703 rounded to the nearest 100000?
948700000
Round 0.000003374828 to six decimal places.
0.000003
Round 3.2792772 to three decimal places.
3.279
Round -2.455782663 to four dps.
-2.4558
Round 0.000278441008 to 4 dps.
0.0003
What is -5520.012366 rounded to 1 dp?
-5520
Round 0.00000118786219 to seven decimal places.
0.0000012
What is 1267921.2 rounded to the nearest 10000?
1270000
What is -1921.1504384 rounded to the nearest 10?
-1920
Round -870376.98 to the nearest one thousand.
-870000
What is -61009126100 rounded to the nearest 1000000?
-61009000000
Round 2254.69566 to the nearest 100.
2300
Round -1.85772 to 1 dp.
-1.9
What is 0.01578503778 rounded to 5 decimal places?
0.01579
What is -0.001243871813 rounded to four decimal places?
-0.0012
What is 2671459.277 rounded to the nearest 100000?
2700000
What is -0.0120201775 rounded to 5 decimal places?
-0.01202
What is 0.000303127288 rounded to 6 dps?
0.000303
What is -815928.161 rounded to the nearest ten thousand?
-820000
What is 0.000001417474956 rounded to seven dps?
0.0000014
Round 1892.357 to the nearest 1000.
2000
What is 3786.161344 rounded to one dp?
3786.2
Round 48709.87825 to the nearest 100.
48700
What is 41.377172 rounded to 2 dps?
41.38
What is 0.25412891 rounded to one decimal place?
0.3
Round 2.49362512 to 2 decimal places.
2.49
Round 239.8245452 to 2 decimal places.
239.82
What is -629220400 rounded to the nearest one million?
-629000000
What is 12.9618019 rounded to the nearest
|
{
"pile_set_name": "DM Mathematics"
}
|
(sqrt(176) + 3*sqrt(176) + -3)))**2 + (4*sqrt(176) + -5 - (sqrt(176) + -2 + 3 + sqrt(176))**2).
-2160*sqrt(11) + 56539
Simplify ((-1 + sqrt(153)*-3 - (3 + sqrt(153) + sqrt(153))*3) + 0 + -1)**2*-2.
-25028 - 1188*sqrt(17)
Simplify ((-6*5*sqrt(468) + sqrt(468))*4)**2 - (sqrt(78)/(sqrt(36)/sqrt(6)) + -5 + (sqrt(13) + -2 - sqrt(13)) + -2).
-sqrt(13) + 6297417
Simplify -5 + 0 + (-2*sqrt(200)*4)/(sqrt(44)/(sqrt(11) - (sqrt(11) + (sqrt(1584) - (sqrt(1584) + -1*sqrt(1584) + sqrt(1584))) - sqrt(11)))).
-40*sqrt(2) - 5
Simplify ((sqrt(60)/sqrt(45))/sqrt(4) - (-1 + -3 + sqrt(12))) + (-1*sqrt(108))/(sqrt(9) + sqrt(99)/(sqrt(396) - sqrt(11))).
-10*sqrt(3)/3 + 4
Simplify (sqrt(1440)*2)/(sqrt(15)/(sqrt(3)*-2) - sqrt(5)) + (sqrt(686)*-2)/(sqrt(7)*2*1).
-23*sqrt(2)
Simplify (sqrt(196)/(sqrt(28)/sqrt(4)) + (sqrt(28) - 3*sqrt(1008)))/((sqrt(36) - (sqrt(72)*-2)/sqrt(2))/(sqrt(9) + sqrt(99)/(sqrt(22)/sqrt(2)) + sqrt(9))).
-16*sqrt(7)
Simplify (((-1 + sqrt(3) + 2)*-2)**2 - (sqrt(72) + sqrt(72) + 1*sqrt(72) + sqrt(72) + sqrt(72))/sqrt(6)) + -2 + 0.
-2*sqrt(3) + 14
Simplify (3 + 4 + sqrt(1872)*3 + (sqrt(130)*1*-6)/((sqrt(90)*-1)/sqrt(9)))**2.
588*sqrt(13) + 22981
Simplify (1 + (-5 + sqrt(1900)*-1 + sqrt(1900) - (-4 + 0 + sqrt(1900))) + (-3 + 1 + sqrt(171) - 5*-1*sqrt(304)))**2.
-52*sqrt(19) + 3215
Simplify -4*(sqrt(85) - (sqrt(85) - (sqrt(85)*-3 - sqrt(85)))*-5 - 4*(sqrt(85) + 1*sqrt(85)))/((sqrt(180)/sqrt(3))/sqrt(12) + 1*sqrt(80)).
-72*sqrt(17)/5
Simplify (sqrt(171)/sqrt(3)*1 + 4*sqrt(5700))/((sqrt(33) - (sqrt(396)*-2)/sqrt(12))/((sqrt(99)*1)/sqrt(9) - sqrt(11) - sqrt(11))).
-41*sqrt(19)/3
Simplify 2*(-5 + 3 + 2*(sqrt(468) + sqrt(468)*2*-6) + 4 + (0 + sqrt(468))*-6)**2.
-1344*sqrt(13) + 733832
Simplify (0 + ((-1 + sqrt(1331)*-2*-6)*-1 - (0 + sqrt(1331)*3 + -2 + 3*sqrt(1331))))**2.
-1188*sqrt(11) + 431253
Simplify ((sqrt(833)*1*-2 - sqrt(833) - (sqrt(833) + 4 + sqrt(833) + -1)) + 2)**2 - 6*4*(sqrt(1700) + 1)*-5.
1270*sqrt(17) + 20946
Simplify 5*((4 + sqrt(6)/(sqrt(27)*3))**2 - ((5*(sqrt(4) + sqrt(100)) + sqrt(4))/sqrt(128))**2).
-181525/2592 + 40*sqrt(2)/9
Simplify -5 + (-4*(0 + sqrt(21)/sqrt(3)) - (-1*sqrt(448) - sqrt(28)/sqrt(4)*-2)).
-5 + 2*sqrt(7)
Simplify 1 + 2 + -1*(sqrt(180) + 2) - ((sqrt(500) - sqrt(500)*2*3) + 5)**2*5.
-62624 + 2494*sqrt(5)
Simplify (-4 + (sqrt(931) - (-3 + (sqrt(931) - (sqrt(931) + -3) - sqrt(931)) + sqrt(931)))*-4 - (sqrt(931)*5 + -5 + 5 + 4))**2.
1008*sqrt(19) + 75475
Simplify ((-2 + (2*sqrt(147) + -2 - sqrt(147)))*2 + (sqrt(147) + (sqrt(147) + 1 - sqrt(147)) + 5 + 3*((sqrt(147) - (sqrt(147) + 1)) + sqrt(147)))*-1)**2.
308*sqrt(3) + 709
Simplify (-1*(sqrt(1216) + 2*sqrt(1216) + 0 + sqrt(1216) + sqrt(1216)) - ((1*sqrt(190) - sqrt(190))*-2)/(sqrt(1440) + sqrt(1440)*2 + sqrt(1440)))**2.
30400
Simplify 2*(6*-6*(1 + sqrt(7)))**2 + (1*sqrt(84)*-1)/sqrt(12)*1.
5183*sqrt(7) + 20736
Simplify (-4*sqrt(170)/sqrt(5)*3*-3)/((sqrt(2) + -5*sqrt(18) - (-1*sqrt(14) - sqrt(14))/sqrt(7))*-1).
3*sqrt(17)
Simplify (sqrt(176) + -4 - (sqrt(132)/sqrt(3))/sqrt(4) - -3*1*(0 + sqrt(44) + sqrt(44) - sqrt(44)))**2*-5.
-4535 + 360*sqrt(11)
Simplify -5*((sqrt(972) + (sqrt(972)*1*5 - sqrt(972)) + sqrt(972) + -1 + sqrt(675) + 2)**2 + 5).
-226965 - 1230*sqrt(3)
Simplify (2 + ((sqrt(117)/(5*sqrt(9)) - (sqrt(13) - (sqrt(13) - sqrt(91)/(sqrt(49)/sqrt(7))))) + -4)*2)**2*4.
384*sqrt(13)/5 + 6928/25
Simplify (2 + (2*sqrt(245) - sqrt(245)))**2*3 + 5 - (1 + (-1*(sqrt(245) + 0 - sqrt(245)))**2 + 2).
84*sqrt(5) + 749
Simplify (((-6*(sqrt(204) - (sqrt(204) + sqrt(204)*2)) - sqrt(204) - sqrt(204))*6)/(-1*sqrt(192)*5)*-5)**2*6.
22950
Simplify (6*-1*sqrt(448) - (((sqrt(7) - sqrt(35)/sqrt(5))*-5)**2 - (sqrt(84)/sqrt(2))/sqrt(6)))*-1.
47*sqrt(7)
Simplify 6*(sqrt(7) - (sqrt(7) + sqrt(21)/sqrt(3) + -3)) + -5*(sqrt(28)/sqrt(4)*-2 + sqrt(7)) + -2 + 4*(2*sqrt(175) + 1)**2.
79*sqrt(7) + 2820
Simplify 1 + ((0 + -1 + sqrt(76) - (sqrt(1539) - -5*sqrt(1539)*-1)) + 2)**2.
76*sqrt(19) + 27438
Simplify (1 + ((sqrt(68) - (-2*1*sqrt(68) - sqrt(68))) + sqrt(68) + 2*sqrt(68)*2)/((4*sqrt(1764) - sqrt(1764))/sqrt(9)))*-6.
-18*sqrt(17)/7 - 6
Simplify 2 + (((sqrt(153) + 5*sqrt(153)*-1 - sqrt(153) - sqrt(153))/sqrt(3))/(6*sqrt(192)*-2)*-2)**2.
145/64
Simplify (-2*(-6*2*(-1*sqrt(1008) - sqrt(1008)))**2*-5 + -2)*2.
11612156
Simplify (4*((sqrt(88) + (sqrt(88) - (sqrt(88) + (sqrt(88)*1 - sqrt(88)))))*4 + sqrt(88))*-6)/(sqrt(8)*-2*-2*-3*-6).
|
{
"pile_set_name": "DM Mathematics"
}
|
k + 2763
What is the f'th term of -45329, -45480, -45615, -45728, -45813?
f**3 + 2*f**2 - 164*f - 45168
What is the b'th term of 8094434, 16188869, 24283304, 32377739, 40472174?
8094435*b - 1
What is the p'th term of -6932, -7274, -7618, -7964, -8312, -8662?
-p**2 - 339*p - 6592
What is the y'th term of -216630051, -216630050, -216630049, -216630048, -216630047?
y - 216630052
What is the k'th term of 34348, 68774, 103304, 137938?
52*k**2 + 34270*k + 26
What is the f'th term of 297266, 594567, 891868, 1189169, 1486470?
297301*f - 35
What is the z'th term of 6116467, 12232955, 18349443?
6116488*z - 21
What is the q'th term of -1206, -1028, -888, -804, -794, -876?
-3*q**3 - q**2 + 202*q - 1404
What is the l'th term of -8930, -35798, -80606, -143378, -224138, -322910, -439718, -574586?
-4*l**3 - 8946*l**2 - 2*l + 22
What is the g'th term of 74, 670, 2384, 5816, 11566?
100*g**3 - 41*g**2 + 19*g - 4
What is the u'th term of -16793, -33618, -50477, -67376, -84321, -101318?
-u**3 - 11*u**2 - 16785*u + 4
What is the h'th term of -6008264, -12016526, -18024788, -24033050, -30041312?
-6008262*h - 2
What is the r'th term of 1692, 6965, 15858, 28461, 44864, 65157, 89430, 117773?
15*r**3 + 1720*r**2 + 8*r - 51
What is the h'th term of 76493, 153191, 229889, 306587?
76698*h - 205
What is the g'th term of -56709070, -113418163, -170127256, -226836349?
-56709093*g + 23
What is the o'th term of 47339686, 47339685, 47339684, 47339683, 47339682?
-o + 47339687
What is the b'th term of 163663565, 327327133, 490990701, 654654269, 818317837?
163663568*b - 3
What is the g'th term of 154182, 154187, 154194, 154203?
g**2 + 2*g + 154179
What is the p'th term of -154750, -154917, -155364, -156229, -157650, -159765, -162712?
-23*p**3 - 2*p**2 - 154725
What is the k'th term of 3245, 26387, 89211, 211559, 413273, 714195?
3307*k**3 - k**2 - 4*k - 57
What is the b'th term of -1306043, -5224227, -11754547, -20897003?
-1306068*b**2 + 20*b + 5
What is the p'th term of 3339, 7260, 11181, 15102?
3921*p - 582
What is the w'th term of -8238154, -8238158, -8238162, -8238166?
-4*w - 8238150
What is the y'th term of 629, 1194, 1743, 2276?
-8*y**2 + 589*y + 48
What is the k'th term of -13266, -13769, -14272, -14775, -15278?
-503*k - 12763
What is the y'th term of 35796, 71435, 106916, 142239, 177404, 212411, 247260?
-79*y**2 + 35876*y - 1
What is the m'th term of -7642, -7317, -6992?
325*m - 7967
What is the o'th term of 4882, 10445, 16046, 21691, 27386, 33137, 38950, 44831?
o**3 + 13*o**2 + 5517*o - 649
What is the m'th term of 8288096, 16576197, 24864300, 33152405, 41440512?
m**2 + 8288098*m - 3
What is the u'th term of -14511, -112928, -380051, -900234, -1757831, -3037196, -4822683?
-14059*u**3 + u**2 - 7*u - 446
What is the d'th term of -330284, -330500, -330716?
-216*d - 330068
What is the l'th term of -11785, -29934, -60183, -102532, -156981?
-6050*l**2 + l - 5736
What is the g'th term of 44637142, 89274280, 133911414, 178548544?
-2*g**2 + 44637144*g
What is the i'th term of 2391, 4971, 7495, 9963, 12375, 14731, 17031?
-28*i**2 + 2664*i - 245
What is the c'th term of 5540, 7471, 9402, 11333?
1931*c + 3609
What is the h'th term of 1273623, 5094533, 11462715, 20378169, 31840895, 45850893, 62408163?
1273636*h**2 + 2*h - 15
What is the h'th term of 32910642, 32910640, 32910638?
-2*h + 32910644
What is the w'th term of -10863, -10106, -9279, -8346, -7271, -6018?
6*w**3 - w**2 + 718*w - 11586
What is the n'th term of -339052, -1356720, -3052834, -5427394, -8480400, -12211852?
-339223*n**2 + n + 170
What is the o'th term of -67902, -68201, -68500, -68799, -69098, -69397?
-299*o - 67603
What is the l'th term of -56098050, -56098056, -56098060, -56098062, -56098062, -56098060?
l**2 - 9*l - 56098042
What is the i'th term of 196002, 784006, 1764006, 3135996, 4899970, 7055922?
-i**3 + 196004*i**2 - i
What is the w'th term of 2713928, 2713933, 2713940, 2713949, 2713960?
w**2 + 2*w + 2713925
What is the p'th term of -6878, -55091, -185960, -440813, -860978, -1487783, -2362556?
-6888*p**3 + 3*p + 7
What is the u'th term of -893863, -894644, -895425, -896206, -896987, -897768?
-781*u - 893082
What is the t'th term of 411369, 1645582, 3702603, 6582432, 10285069, 14810514?
411404*t**2 + t - 36
What is the n'th term of 298418, 1192952, 2683842, 4771088?
298178*n**2 + 240
What is the x'th term of -90078, -180647, -271230
|
{
"pile_set_name": "DM Mathematics"
}
|
be (-26)/(-6) + 3/(-9). Let d(o) = l*o - 5*o + 3*o. Give d(f).
-4
Let l(p) be the second derivative of p**5/20 + p**4/12 - p**3/3 - 3*p**2/2 + 17*p. Give l(-2).
-3
Let q(w) = 2 + 2*w**2 - 3*w**2 - w**2. Suppose 4*m - 2*m = -4. Determine q(m).
-6
Suppose 3*y + h = -2*y + 14, -3*y = -h - 2. Let b(p) = 4*p + 2. Let i(t) = 8*t + 3. Let m(c) = -5*b(c) + 3*i(c). Give m(y).
7
Let y(o) be the second derivative of o**3/3 - o**2/2 + 4*o. Calculate y(-2).
-5
Let d(p) = -5. Let z(m) = -1. Let o = -13 - -7. Let y(n) = o*z(n) + d(n). Let t(s) = s**3 - 3*s**2 - 3*s - 6. Let h(i) = t(i) + 4*y(i). Determine h(4).
2
Let v(o) = o - 10. Let y(z) = -5*z + 51. Let k(f) = 11*v(f) + 2*y(f). Give k(5).
-3
Let f(w) = 4*w + 5. Let g(h) = -h - 1. Let d = -6 + 3. Let b(m) = d*g(m) - f(m). What is b(6)?
-8
Suppose 2*b - 4*b - 6 = 4*g, 0 = 4*b - 4*g. Let l(w) = 6*w - 7*w - 1 + w + 2*w**2 - 16*w**3. Give l(b).
17
Let q(n) be the first derivative of n**4/4 + 4*n**3/3 - n**2 + 2*n - 51. What is q(-5)?
-13
Let z be 8/(-8)*(0 + 0). Let i(h) = z*h**2 - 3 - 2*h - h**2 - 4*h + 2*h**2. What is i(5)?
-8
Let b(k) = -k + 7. Suppose 1 = q - 4. Calculate b(q).
2
Let r(t) = t**3 - 2*t**2 - 2*t + 2. Let y be 5*(-3)/((-60)/8). Determine r(y).
-2
Suppose 0 = 5*x - 4*p - 80, 3*x = -x + 2*p + 64. Suppose 5*c - 19 = -5*s + x, 2*s = -5*c + 26. Let k(r) = -2 + 3 - 2 - 2 - c*r. Determine k(-2).
5
Let w(o) = -o + 1. Let b(q) = 0*q - 4*q**2 + 5*q**2 - 1 + q. Let a be b(2). What is w(a)?
-4
Let m(t) = -t**2 - t + 5. Let p(y) = y + 7. Let x be p(-7). Suppose -5*a + x*a = 0. What is m(a)?
5
Let c(x) = -x - 2. Suppose -6*y + 5*y = 6. Calculate c(y).
4
Let u(d) = 5 + d**2 - 5 + 4 + 4*d. What is u(-4)?
4
Let w(m) = 5*m**2 + 6*m - 11. Let n(a) = -11*a**2 - 12*a + 23. Let y(r) = -4*n(r) - 9*w(r). Determine y(-7).
0
Let d(g) = 5*g. Let b(c) = 11*c + 1. Let n(u) = -2*b(u) + 5*d(u). Give n(-3).
-11
Let k(v) be the third derivative of v**6/120 + v**5/10 - v**4/24 - 4*v**3/3 + 3*v**2 + 6. Calculate k(-6).
-2
Let r(i) = -i**2 - 6*i - 1. Let v(t) = t**2 - t - 3. Let l be v(4). Let c = -14 + l. What is r(c)?
4
Let p(b) = b + 5. Let n be p(-8). Let y(v) = -2*v + 3. What is y(n)?
9
Let p(x) = 2*x - 12. Let r be p(10). Suppose r = 2*h - 2. Let b(w) = -w - w - w**3 + 6*w**2 - 1 - 3*w. Calculate b(h).
-1
Let o(d) = -d**2 + 5*d - 7. Let y = 5 - 2. Let i = y - -1. Let r be i/(-14) - (-148)/28. Determine o(r).
-7
Let l(k) = k - 1. Let c be (-15)/(-6)*48/20. Give l(c).
5
Let w(k) = -2*k + 14. Let c be w(6). Let v(q) = -2 + q**c - 2*q + 0 + 0*q + q. Let n(m) = m**3 + 6*m**2 + 5*m - 3. Let b be n(-5). Calculate v(b).
10
Let n = -5 + 1. Let h be (2/4)/(n/(-32)). Let j(d) = 4*d**3 - 5*d - 2*d**3 - d**3 + h*d**2 - d**2 - 2. What is j(-4)?
2
Let g = -4 - -4. Let x(r) = 6*r - 1 + g + 0. Calculate x(-1).
-7
Let k(a) = -2*a**2 + 3*a - 2*a**2 + 2*a**2 - 59 + 61. What is k(3)?
-7
Let b(c) = 3*c - 1 + 5*c - 18*c + 5*c. Give b(1).
-6
Let q(t) = t**3 + 8*t**2 + 3*t + 9. Let u be q(-8). Let k be 16/(-3) + (-5)/u. Let b(a) = a**3 + 5*a**2 - a - 1. Give b(k).
4
Let n(b) = b**2 + 8*b + 2. Let i(m) = -2*m**2 - 16*m - 5. Let c(g) = 3*i(g) + 5*n(g). Determine c(-5).
10
Let a(u) = 7*u**3 - 14*u**3 - 3 + 5 + 6*u**3 + u**2. Calculate a(2).
-2
Let u(x) = 5 - 5 + 3 + 1 + x. What is u(3)?
7
Let g = -3 - -8. Suppose -4*x = -2*h - 14, -g*x + h + 2 = -11. Let a be 2/(-4)*12/x. Let p(f) = 2*f + 3. Determine p(a).
-3
Let k = 95 + -98. Let h(m) = m**3 + 2*m**2 - m - 2. Give h(k).
-8
Let z(m) = 4*m - 1 - 2 + m - 2*m. Suppose 0 = -0*y - 3*y - 9. Calculate z(y).
-12
Let a = 0 - -3. Let f = -2 + a. Let i(u) = 9*u - 1. Determine i(f).
8
Let o = -13 - -7. Let s be 4/o*-6 + -1. Let z(j) = -j**2 + 3. What is z(s)?
-6
Let m(o) = -6*o**2 + 2*o + 8. Let d(c) = -5*c**2 + 2*c + 7.
|
{
"pile_set_name": "DM Mathematics"
}
|
rom bggbbbc.
0
What is prob of picking 2 c, 1 x, and 1 y when four letters picked without replacement from {p: 2, c: 6, y: 3, x: 1}?
1/11
Three letters picked without replacement from qeneqeqeeeeeqeqeqee. What is prob of picking 1 n and 2 q?
5/323
Three letters picked without replacement from {z: 3, o: 6, d: 2, q: 1}. What is prob of picking 1 z, 1 o, and 1 d?
9/55
Four letters picked without replacement from kmkkaakaaa. What is prob of picking 3 k and 1 m?
2/105
Four letters picked without replacement from ruwrdxp. What is prob of picking 1 w, 1 u, and 2 r?
1/35
What is prob of picking 1 x, 1 j, and 1 t when three letters picked without replacement from jjtwxzjpjtpz?
2/55
Calculate prob of picking 2 p when two letters picked without replacement from {z: 3, e: 3, l: 3, o: 3, u: 1, p: 5}.
10/153
What is prob of picking 1 g, 1 y, and 1 m when three letters picked without replacement from tbktbkgymbk?
1/165
Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {g: 2, l: 4}.
8/15
Two letters picked without replacement from yyyyyyzz. Give prob of picking 2 z.
1/28
Three letters picked without replacement from {a: 3, q: 1, n: 12}. Give prob of picking 2 a and 1 n.
9/140
What is prob of picking 2 w and 1 p when three letters picked without replacement from pwgwwwgpgggwwwg?
6/65
Three letters picked without replacement from blllhbhh. Give prob of picking 2 b and 1 h.
3/56
What is prob of picking 1 m and 1 h when two letters picked without replacement from {x: 1, i: 3, h: 2, m: 1}?
2/21
Three letters picked without replacement from {y: 2, l: 1, k: 2, g: 1, c: 2, s: 1}. What is prob of picking 2 k and 1 s?
1/84
Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {n: 13, y: 3}.
13/40
Two letters picked without replacement from ebqyyqppplq. Give prob of picking 1 e and 1 q.
3/55
Four letters picked without replacement from sshhsshhhhhs. Give prob of picking 4 h.
7/99
Two letters picked without replacement from {c: 4, g: 6, j: 4, k: 3}. What is prob of picking 2 c?
3/68
Calculate prob of picking 1 s and 1 v when two letters picked without replacement from vvs.
2/3
What is prob of picking 1 e and 1 c when two letters picked without replacement from {y: 1, d: 7, c: 1, e: 3}?
1/22
Three letters picked without replacement from {t: 5, a: 1, r: 2, k: 1, j: 1}. Give prob of picking 1 k, 1 r, and 1 a.
1/60
Two letters picked without replacement from {k: 1, e: 3, b: 4, y: 1, h: 6}. What is prob of picking 1 e and 1 h?
6/35
Two letters picked without replacement from uxxxxuuluux. What is prob of picking 1 u and 1 x?
5/11
Calculate prob of picking 2 n when two letters picked without replacement from ennneeeneeenn.
5/26
What is prob of picking 2 o when two letters picked without replacement from {o: 7, y: 5}?
7/22
Four letters picked without replacement from prhzrryyyhpkh. What is prob of picking 1 p, 1 y, 1 h, and 1 k?
18/715
What is prob of picking 1 m and 1 o when two letters picked without replacement from {o: 8, m: 2, p: 3, x: 2}?
16/105
Two letters picked without replacement from {t: 1, q: 2, e: 1}. What is prob of picking 1 q and 1 t?
1/3
What is prob of picking 1 t and 1 n when two letters picked without replacement from tcnuctt?
1/7
Four letters picked without replacement from {a: 12, j: 3, w: 3}. What is prob of picking 3 a and 1 w?
11/51
Calculate prob of picking 1 s, 1 w, and 1 z when three letters picked without replacement from {p: 3, s: 1, z: 2, w: 1}.
2/35
Three letters picked without replacement from ggilkkggiikkgkgglgg. What is prob of picking 1 k and 2 l?
5/969
Three letters picked without replacement from {j: 3, t: 9}. What is prob of picking 2 t and 1 j?
27/55
Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {i: 4, k: 4, r: 8, v: 2, g: 1, o: 1}.
8/95
Three letters picked without replacement from tti. Give prob of picking 3 t.
0
Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {f: 2, o: 7, y: 1, c: 3, z: 1}.
6/91
Three letters picked without replacement from ziwjzcoj. Give prob of picking 1 c, 1 w, and 1 o.
1/56
Three letters picked without replacement from {t: 1, u: 18}. What is prob of picking 1 t and 2 u?
3/19
What is prob of picking 1 l and 1 i when two letters picked without replacement from {n: 1, l: 1, f: 1, i: 1, t: 1}?
1/10
Four letters picked without replacement from knmmqnmmmrmmnrmtkm. Give prob of picking 1 m, 2 n, and 1 r.
3/170
What is prob of picking 3 g when three letters picked without replacement from ueg?
0
What is prob of picking 2 o when two letters picked without replacement from {d: 1, o: 2}?
1/3
Calculate prob of picking 1 z and 3 r when four letters picked without replacement from srrrrrrrrzr.
14/55
What is prob of picking 1 u and 2 q when three letters picked without replacement from quhwwfq?
1/35
Two letters picked without replacement from {a: 7, y: 2, v: 2, k: 1}. Give prob of picking 2 v.
1/66
What is prob of picking 2 f when two letters picked without replacement from fhvfhhhvffhh?
1/11
Four letters picked without replacement from {i: 5, s: 7, h: 2, b: 3}. What is prob of picking 1 i, 2 h, and 1 b?
3/476
What is prob of picking 2 t and 2 o when four letters picked without replacement from votoovvoogot?
1/33
What is prob of picking 2 k and 1 w when three letters picked without replacement from {j: 1, w: 10, b: 1, l: 3, h: 1, k: 3}?
10/323
Three letters picked without replacement from {r: 4, v: 1, y: 2, h: 10}. Give prob of picking 1 y, 1 h, and 1 r.
2/17
Two letters picked without replacement from fbimbbmfbbfmffi. What is prob of picking 2 m?
1/35
What is prob of picking 3 x and 1 f when four letters picked without replacement from fffxfxffxf?
1/30
What is prob of picking 2 c when two letters picked without replacement from {j: 4, y: 3, a: 3, z: 4, e: 4, c: 2}?
1/190
Three letters picked without replacement from {f: 1, a: 5, v: 1, r: 3}. Give prob of picking 1 a, 1 v, and 1 f.
1/24
Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, i: 1, b: 1}.
1/6
What is prob of picking 3 q when three letters picked without replacement from rqqqqr?
1/5
Three letters picked without replacement from eobooetoboqoeobe. Give prob of picking 1 o and 2 e.
3/40
Two letters picked without replacement from fmjxjmwwmfmwfxnwmm. What is prob of picking 1 j and 1 x?
4/153
Three letters picked without replacement from {y: 4, q: 2}. What is prob of picking 3 y?
1/5
Calculate prob of picking 2 g when two letters picked without replacement from lengglggegng
|
{
"pile_set_name": "DM Mathematics"
}
|
d 453058?
718
What is the highest common factor of 1598984 and 568?
8
What is the greatest common divisor of 13 and 53884883?
13
What is the greatest common factor of 96 and 14704192?
32
What is the greatest common divisor of 133 and 7363279?
133
What is the greatest common factor of 13669217 and 12952?
1619
Calculate the highest common factor of 2043 and 204453.
9
What is the highest common divisor of 30 and 10554890?
10
Calculate the highest common divisor of 176 and 8481344.
16
What is the greatest common divisor of 9822 and 538437129?
4911
Calculate the greatest common factor of 10489694 and 262.
262
Calculate the greatest common factor of 5790086 and 3749.
163
What is the highest common divisor of 53238730 and 5848?
1462
Calculate the highest common factor of 6032 and 1319916.
52
Calculate the highest common factor of 71906826 and 12.
6
Calculate the greatest common factor of 590868 and 46467.
27
Calculate the greatest common divisor of 1487484 and 93636.
324
Calculate the greatest common factor of 40717430 and 182.
26
What is the highest common divisor of 26144 and 1971808?
1376
Calculate the highest common factor of 1843777728 and 13.
13
What is the highest common factor of 4762195 and 95?
5
Calculate the greatest common factor of 192170 and 80.
10
Calculate the greatest common factor of 41300 and 35636.
236
Calculate the greatest common divisor of 19590 and 78225.
15
What is the greatest common divisor of 18 and 6104421?
9
What is the greatest common divisor of 117 and 11916242?
13
What is the highest common divisor of 112410818 and 2938?
2938
What is the greatest common divisor of 3488940 and 2010?
30
Calculate the greatest common divisor of 14478 and 319278.
762
Calculate the highest common divisor of 5207 and 1493774.
127
Calculate the greatest common factor of 439979 and 8251.
223
What is the highest common divisor of 8679519 and 15408?
963
Calculate the greatest common divisor of 30869568 and 1476.
36
What is the highest common factor of 40 and 208812920?
40
What is the highest common factor of 306 and 14489984?
34
What is the greatest common factor of 3363520 and 33304?
184
What is the highest common factor of 5510 and 564110?
190
What is the greatest common divisor of 1178 and 5577241?
589
What is the highest common factor of 1324692 and 45756?
1116
What is the highest common divisor of 60911322 and 2091?
123
What is the greatest common divisor of 2572911 and 297?
297
What is the greatest common divisor of 20604 and 189088059?
5151
What is the highest common divisor of 9150 and 9358071?
183
Calculate the greatest common divisor of 1693704 and 2328.
24
What is the highest common divisor of 14576 and 361667?
911
Calculate the highest common factor of 3501 and 6658124.
389
Calculate the greatest common divisor of 160 and 49140640.
160
Calculate the highest common divisor of 202 and 9311998.
202
Calculate the highest common factor of 2004 and 450835204.
668
What is the highest common factor of 61341368 and 184?
184
What is the highest common divisor of 38745314 and 184313?
1237
Calculate the greatest common factor of 100538472 and 148.
148
Calculate the highest common divisor of 217704704 and 1024.
256
What is the greatest common factor of 1290 and 782256?
258
What is the highest common divisor of 26465 and 983629?
79
Calculate the highest common divisor of 408892094 and 26.
26
Calculate the highest common divisor of 20119648 and 12932.
212
What is the greatest common divisor of 1350 and 5778?
54
Calculate the greatest common divisor of 1076692 and 1178.
1178
What is the greatest common divisor of 1892 and 33?
11
Calculate the highest common divisor of 141 and 48904675.
47
Calculate the highest common divisor of 23030 and 32477.
47
Calculate the greatest common divisor of 8528925 and 195.
15
Calculate the greatest common factor of 6098294 and 26.
2
What is the highest common factor of 198 and 14548545?
99
What is the greatest common divisor of 9945 and 156037815?
765
What is the highest common factor of 2738286 and 15120?
54
What is the greatest common factor of 109888 and 4726?
34
What is the highest common factor of 2409 and 141108?
33
What is the highest common divisor of 305518 and 1550426?
346
What is the greatest common divisor of 48 and 32582624?
16
Calculate the highest common divisor of 571933 and 9.
1
Calculate the highest common divisor of 962 and 195598.
26
Calculate the greatest common divisor of 149533945 and 220.
55
Calculate the greatest common factor of 886501 and 33292.
203
What is the greatest common divisor of 5940 and 83792940?
660
Calculate the highest common divisor of 7740 and 1906620.
2580
What is the greatest common divisor of 408 and 8102952?
24
Calculate the greatest common factor of 576 and 1450216.
8
Calculate the highest common divisor of 35782668 and 1353.
123
What is the greatest common divisor of 60 and 282832260?
60
Calculate the greatest common factor of 57936 and 1789981.
1207
Calculate the greatest common factor of 42021694 and 31759.
4537
Calculate the highest common divisor of 179278 and 3752716.
638
Calculate the greatest common factor of 1776866910 and 3590.
3590
Calculate the greatest common divisor of 8372 and 120302.
182
What is the highest common factor of 3633 and 588?
21
What is the greatest common divisor of 91 and 9408308?
91
Calculate the greatest common divisor of 1401150 and 19725.
75
What is the greatest common factor of 831240 and 64080?
360
Calculate the greatest common divisor of 5892 and 28986676.
1964
What is the highest common divisor of 5478 and 437877?
33
Calculate the highest common divisor of 4687699628 and 4204.
4204
What is the highest common divisor of 364 and 2105404?
28
Calculate the highest common divisor of 57975262 and 6306.
2102
Calculate the greatest common factor of 25569068 and 4060.
812
Calculate the greatest common factor of 62415 and 5870295.
3285
What is the highest common divisor of 3109190 and 6790?
70
Calculate the greatest common divisor of 10607472 and 2736.
2736
Calculate the greatest common divisor of 20091 and 1180482.
543
What is the highest common factor of 305 and 14048666?
61
Calculate the greatest common factor of 51493 and 190723.
221
Calculate the highest common divisor of 704612 and 196.
4
Calculate the highest common divisor of 1350002 and 49396.
466
What is the highest common factor of 781776 and 53802?
1098
What is the highest common factor of 2512 and 39617694?
314
What is the greatest common factor of 705834 and 5022?
162
Calculate the highest common factor of 1629264 and 25116.
1092
What is the highest common factor of 90459985 and 770?
385
Calculate the highest common divisor of 1414720 and 30.
10
Calculate the highest common divisor of 8290 and 316010.
10
Calculate the highest common divisor of 2356 and 77939520.
76
Calculate the greatest common divisor of 88919713 and 11919.
3973
Calculate the greatest common factor of 1891588 and 703.
37
Calculate the greatest common divisor of 13060818 and 54.
54
Calculate the greatest common factor of 10263 and 3485999.
3421
Calculate the highest common factor of 43494650 and 70.
10
What is the greatest common divisor of 2584 and 9335346?
646
What is the highest common factor of 656285 and 2198?
7
Calculate the greatest common factor of 21684822 and 12.
6
Calculate the highest common divisor of 30 and 40977030.
30
What is the highest common factor of 261 and 5843935?
29
Calculate the greatest common divisor of 10 and 355617830.
10
Calculate the greatest common divisor of 15874418 and 28.
14
What is the highest common divisor of 5930 and 2560?
10
What is the highest common factor
|
{
"pile_set_name": "DM Mathematics"
}
|
w**(3/2)
Simplify (((q/(q/(q*q*q/q**(-9))*q*q)*q*q)/(q*q**(3/4)))**(9/7))**26 assuming q is positive.
q**(4797/14)
Simplify (((n/(n*n/(n*n**(1/2))))/n)/n**(-29))/(n**(31/4)*n/((n*n**(1/24))/n)) assuming n is positive.
n**(475/24)
Simplify (y/((y*y/(y**(-2/15)*y))/y)*y*y/(y*((y/(y*y**(-16)*y*y))/y*y)/y*y))/(y**(-1/7)*y*y*y**(1/8)) assuming y is positive.
y**(-11857/840)
Simplify (((m**(-3/4))**(-48))**(2/19))**(1/40) assuming m is positive.
m**(9/95)
Simplify (((r**(-2)/r)/r)**(-2/3))**13 assuming r is positive.
r**(104/3)
Simplify (k*k/((k/(k/k**12))/k))/(k**(-12)/k)*k**(1/6)/(k/(k/k**(-10))) assuming k is positive.
k**(85/6)
Simplify (((m/(m*m*m**13/m))/m)/m**3)/(((m**(-7/4)/m*m)/m)/(m/((m*(m/m**(-17))/m)/m))) assuming m is positive.
m**(-121/4)
Simplify (x**(2/7))**(-42)*x**(-5/4)/(x**2*x) assuming x is positive.
x**(-65/4)
Simplify ((i/i**(-10/9))/i**0)/((i/i**4)/i*i*i/i**(-4/15)) assuming i is positive.
i**(173/45)
Simplify ((((q**2*q)/q)/(q**0/q*q))/(q**(2/3)/q)**(-33))**(1/74) assuming q is positive.
q**(-9/74)
Simplify (i*i**(3/8)*i**(-2/5))/(i/(((i/(i/(i**5*i)))/i*i)/i))**(-9) assuming i is positive.
i**(-1401/40)
Simplify ((c/(c**(-9/2)*c))/c)**(3/14)*(c**(-21)/c)**(1/8) assuming c is positive.
c**(-2)
Simplify (o/(o*o**(-5)))/(o*o**(2/13)*o)*o**(3/7)*o*o**(-5/2) assuming o is positive.
o**(323/182)
Simplify (j*(j**(-1/5)*j)/j*j*j)**(-3/19)/((j/(j*j**(-3/2)*j)*j)/j**(3/4)) assuming j is positive.
j**(-453/380)
Simplify (s*s**(2/9))**(9/2)*(s*s**(-25))/s**(-3/11) assuming s is positive.
s**(-401/22)
Simplify (m**(-1/3)/((m**(3/8)/m*m)/m)*((m*m/(m**2*m)*m)/m)**5)**(-13) assuming m is positive.
m**(1469/24)
Simplify (i*i/(i/(i/i**(-9))))**(-11)*i**3*i**(-1/18)/i*i assuming i is positive.
i**(-2125/18)
Simplify u**(1/15)*u*u/u**(-1/25)*(u*u/u**(-3)*u)**(-3/5) assuming u is positive.
u**(-112/75)
Simplify l*l/(((l*l**(5/2))/l)/l)*l/(l**(-19)/l)*l**(-1/11)*l/(l*l*l**6*l*l*l)*l assuming l is positive.
l**(273/22)
Simplify (s**(4/5)/(s/s**(-3/10)))/(s**(3/7)*(s**(6/5)*s)/s) assuming s is positive.
s**(-149/70)
Simplify (k*k*k*k**(13/3))/k**(3/16)*(k*k**6*k)**(-9/11) assuming k is positive.
k**(317/528)
Simplify (v*v/(v/(v/(v*v/v**35))))/(((v/v**(-8))/v*v)/v)*(v*v**33)**(-5/2) assuming v is positive.
v**(-58)
Simplify (j**1/(j/(j*j*j**(-3/7)*j)))/(j*j**(1/3))**(-9) assuming j is positive.
j**(102/7)
Simplify (t*t**(3/11))/(t*t**17)*(t**15)**(-6) assuming t is positive.
t**(-1174/11)
Simplify (k/k**(-20))/(k**(-7/6)/k)*((k/(k*k**(-3/5)))/k*k)/((k**(-1/3)*k)/k*k) assuming k is positive.
k**(231/10)
Simplify r**(3/11)*r*r/(r*r*r/(r**(-7/4)*r)*r)*r**4/(r**(5/6)*r) assuming r is positive.
r**(-41/132)
Simplify ((w**(-1/5)*w*w**(2/5))/(w/(w/(w*w/(w/(w/(w**1/w)))*w))*w)**42)**(-2/29) assuming w is positive.
w**(1668/145)
Simplify (n**14*n*n*n)**38*(n*n**(-6/11))/n**(-23) assuming n is positive.
n**(7364/11)
Simplify (w*w*w*(w*((w*w*(w**15*w)/w)/w)/w)/w*w**(2/17)*w)/(((w/(w*w**(-2/11)/w*w*w*w)*w)/w)/(w*w/(w**(-1/5)*w*w*w))) assuming w is positive.
w**(18827/935)
Simplify w/(w/w**(-6/5))*w**(-18)*w*(w**(-5))**(-33) assuming w is positive.
w**(734/5)
Simplify ((z/(z**(-28)/z))/z*z*z)/z*z/((z*z*(z*z*z**(-7))/z*z)/z)*((z*z**(-1/9))/z*z*z)/(z/z**(2/7)*z) assuming z is positive.
z**(2216/63)
Simplify (d**(-3))**(6/7)/(d**(3/11)*(d*d**(3/5))/d) assuming d is positive.
d**(-1326/385)
Simplify (k*k**19*k*k**10)/(k/((k*k*(k*k*k**22*k*k)/k*k)/k)*(k**(-3)/k)/k) assuming k is positive.
k**62
Simplify (g/g**(2/7))**(-34)*(g*g**7)/(g*g**6) assuming g is positive.
g**(-163/7)
Simplify (((y*y**11)/(((y/(y/(y/(y**(9/2)*y))))/y)/y))/(y/(y**(-6)/y*y)*y*y*y**(-5)))**41 assuming y is positive.
y**(1189/2)
Simplify p**(-2/13)*(p/((p**(2/17)*p)/p))/p*p**13/p*p*p**(13/4) assuming p is positive.
p**(14125/884)
Simplify (i**5*i**(2/15))/(i/i**(-2))**6 assuming i is positive.
i**(-193/15)
Simplify d/(d*((d**(2/35)*d)/d)/d)*d**(-4/5)*d**(-2/13)/(d*d**(5/4)) assuming d is positive.
d**(-823/364)
Simplify (g**14/g)/g*g*g**0*g**(3/5)*g/(g**5/g) assuming g is positive.
g**(53/5)
Simplify (a/((((a**(1/44)/a)/a)/a)/a))/a*a**(3/29)*(a**21*a)/a*a**(-20/7) assuming a is positive.
a**(198501/8932)
Simplify (c**(14/3)*c*c**(-12/13))**(14/3) assuming c is positive.
c**(2590/117)
Simplify ((p**7/p)/p**(-15))/(p*p*p*p**(-10)*p**5) assuming p is positive.
p**23
|
{
"pile_set_name": "DM Mathematics"
}
|
6*p**3 - 1 to m*p**3 + c*p**2 + n + r*p and give m.
-848
Rearrange (-2 + q + 2)*(-4 - 3 - 2)*(-5 - q**3 + 5) + (-5*q - q + 3*q)*(-q**3 + 3 - 3) to the form n*q**3 + t*q**2 + j + r*q**4 + k*q and give r.
12
Express (-8*t**3 + 3*t**3 + 0*t**3)*(89 + 0*t - 87 + 7*t) as o*t**3 + y*t**4 + m + h*t + d*t**2 and give y.
-35
Express (4*u**2 + u**2 + 2*u**2)*(43*u**2 - 18*u**2 + 62*u**2) as j*u**4 + g + t*u**2 + k*u**3 + m*u and give j.
609
Express 5887*i**2 - 3 - 5876*i**2 + 4 as k*i**2 + z + t*i and give k.
11
Rearrange 381*q**2 + 204*q**2 - 3 - 61*q**2 + 2 + 714*q**2 to l*q**2 + i*q + j and give l.
1238
Rearrange 13*o**3 + 8*o + 23*o**3 + 20*o**3 - 99*o**3 + 12*o**3 to the form i*o**3 + k*o + u*o**2 + z and give k.
8
Rearrange -176*s**3 - 1 + 176*s**3 + 2*s**4 + 47*s**2 + s to g*s**4 + k + z*s**3 + y*s + a*s**2 and give y.
1
Express (3 + 4 - 2 + 0 - 2 - 4 + (13 - 21 - 14)*(3 - 1 - 3))*(-4*a + 3*a + 3*a) as r + q*a and give q.
42
Express -128*x + 95*x + 255*x + 218*x + 9*x in the form y + v*x and give y.
0
Express -v**4 + 73*v**3 + 67*v**3 - 142*v**3 + 7 - 8*v**2 as t*v**3 + h + u*v**2 + o*v + b*v**4 and give u.
-8
Express (0*y**3 - y**3 + 7*y**3)*((6 - 3 - 1)*(-119 - 189 + 83) + 1 - 1 - 1) in the form a*y**3 + f + z*y + w*y**2 and give a.
-2706
Rearrange -380*w - 1179*w + 296*w - 920*w to n*w + q and give n.
-2183
Express (-845 - 1064 + 218)*(2*d**4 + 2*d - 2*d) as w + y*d**4 + v*d**2 + o*d**3 + s*d and give y.
-3382
Express -1338*c + 2*c**4 + 1345*c + c**2 - 36 - 26 in the form k*c**4 + d + h*c**3 + l*c + u*c**2 and give l.
7
Rearrange 28*f + 5*f**2 - 28*f + (11*f**2 + 2*f**2 + 27*f**2)*(-1 + 2 - 3) - f**2 - f**2 + f**2 to the form p + l*f + s*f**2 and give s.
-76
Express -f**3 + 47*f - 93*f + 48*f - 4 in the form a*f**2 + i*f**3 + p + m*f and give m.
2
Rearrange -97*c**3 + 0 + 0 + 39*c**2 - 89*c**3 + 184*c**3 to the form q + i*c + v*c**3 + j*c**2 and give i.
0
Express 29 - 18 + 8*d**3 - 10 - 15*d**2 as t*d + c + z*d**3 + n*d**2 and give c.
1
Rearrange 21*z - 972 + 47*z**3 - 22*z + 971 to o + n*z + i*z**2 + d*z**3 and give d.
47
Rearrange (-2 - 3*t + 2 + (1 + 0 + 1)*(3*t + 4*t - 3*t) + 4*t - 2 - 5*t + 2*t)*(1 + 3 - 2) to the form s*t + l and give s.
12
Rearrange -62*h**2 + 238*h**2 - 6*h + 6*h to n*h + s + d*h**2 and give d.
176
Express (-22 + 44 + 41)*(2*f**2 - 1 + 1) + f**2 + f**2 + 5*f**2 in the form j*f**2 + w*f + g and give j.
133
Express 43*b**2 + b - 17*b**2 - 52*b - 2*b**2 - 26*b**2 as k*b + c*b**2 + x and give k.
-51
Rearrange -12*c + 7 - 11 + 4 + 619*c to the form a*c + g and give g.
0
Express 730*f**3 - 48*f**2 - 728*f**3 + 9 - 14 as p*f**2 + o*f**3 + j*f + i and give p.
-48
Express -34*d**2 - 60*d**2 - 53*d**2 in the form z + r*d + t*d**2 and give t.
-147
Express -1847 + 3757 - 1853 + z + 2*z**2 in the form v*z**2 + g + r*z and give v.
2
Rearrange 2 - 59*o + 6 + 1 + 1 + 2*o**2 - 14 to b*o + n*o**2 + u and give u.
-4
Express (-21 - z + 12 + 11)*(1 + 2*z - 1)*(-9*z + 1 - 7 + 7) in the form i + v*z**3 + n*z + a*z**2 and give n.
4
Express 2*m**2 + 4*m**2 - 4*m**2 - 2*m**2 - 4*m**2 + 0*m**2 + (-1 + 1 - 2*m)*(-7*m + 13*m + m) + m**2 + 4*m**2 - 6*m**2 as j*m + p*m**2 + o and give p.
-19
Rearrange 254*t**4 - 609*t**4 - 117*t**4 - 400*t**4 + (0*t + 0*t - 2*t**4)*(-5 - 1 + 4) to v*t**2 + o + c*t**3 + l*t + p*t**4 and give p.
-868
Express (0 - 2 + 0 + (0 + 1 + 1)*(-2 + 3 + 0) + 19 - 9 - 12)*(8*r + 10 - 10) as u*r + z and give u.
-16
Rearrange 15*i**2 + 25*i**2 + 16*i**2 - 43*i**2 + 19*i to the form w + g*i + t*i**2 and give g.
19
Rearrange (-2 - 6 + 4)*(24*o**2 - 31*o + 31*o)*(3 - 2 + 2) to the form u*o**2 + m*o + k and give m.
0
Rearrange -64*s - 66*s + 137*s - 27 + 5 to the form a + h*s and give a.
-22
Rearrange 43*b + 49*b - 90*b + 1 - 4*b**3 to c*b**3 + p + w*b**2 + n*b and give c.
-4
Express 770*a**4 + a**2 - 2*a - 2*a**3 - 1541*a**4 + 772*a**4 in the form i*a + s*a**4 + m + y*a**3 + v*a**2 and give v.
1
Express 2*x - 2*x - 2*x**2 + (0*x - 3*x + x)*(5*x - 2*x - 2*x) +
|
{
"pile_set_name": "DM Mathematics"
}
|
4
Expand (n - 3*n + n)*((6 - 4 - 1)*(6 - 5 - 3) + 3 - 3 + 2 - 2 + 1 - 1 + 3 - 1 - 1)*(1 - 1 - 2*n).
-2*n**2
Expand -2*t**5 - t**5 + 5*t**5 + 3*t - 3*t - 2*t**5 + t**5 + t**5 + 0*t**5 - 3*t + t**5 + 3*t + (0*t + 0*t - t**4)*(1 - t - 1) + 10*t**5 - 3*t**5 - 4*t**5.
7*t**5
Expand -h**3 + 0*h**3 - h**3 + (-5*h**2 + 2*h**2 + h**2)*(43 - 3*h - 43) - h**3 + 0*h**3 + 2*h**3.
5*h**3
Expand (-3 + 1 + 5)*(10*m**3 - 12*m**3 + 5*m**3).
9*m**3
Expand (0 + 0 - 1)*(-2*v**2 + 80 - 70 + 4*v**2).
-2*v**2 - 10
Expand 2*o - 2*o + o**3 + (5*o**2 - 2 + 2)*(2*o + o - o).
11*o**3
Expand (0*q + 20*q**5 + 0*q)*(2 + 3 - 4) - 3*q**3 + 3*q**3 - q**5 + (-2*q**2 - 2*q**2 + 5*q**2)*(-2 + 2 - q**3).
18*q**5
Expand (2*o - 2*o**2 - 2*o)*(-o + 0*o + 0*o) + 2 - 2 + o**3 + 32*o - 45*o**3 - 32*o + (2 - 7 + 3)*(0*o**3 + o**3 - 2*o**3) - 2*o**3 + 0*o**3 + 4*o**3.
-38*o**3
Expand (7*y - y**4 - 7*y)*(2 - 1 - 2*y - 2).
2*y**5 + y**4
Expand (-4*p + 11*p + p)*(0*p**3 + p**3 + 5*p**3).
48*p**4
Expand (0 + 0 + u**2)*(2*u**2 - 2*u**2 + u**3) + 15*u**5 + 4*u**5 + 8*u**5.
28*u**5
Expand (-1 - 1 - z**2 - z**2)*((-z + 4 - 4)*(0 + 1 + 1) - 10*z + 5*z - 4*z).
22*z**3 + 22*z
Expand -3*l**4 + 3*l**4 + 2*l**4 + (-4*l + l + 4*l)*(-2*l**3 + 0*l**3 + l**3) + (2*l**2 - 1 + 1)*(0*l**2 - 16*l**2 + 7*l**2).
-17*l**4
Expand 4*z - 7*z - 2*z + ((-2 + 4 - 3)*(-3 + 1 + 0) - 3 + 4 - 2)*(-2*z + 5*z - z).
-3*z
Expand (-7*i + 3*i - 2*i)*(-5*i**2 + 5*i**2 - 4*i**2).
24*i**3
Expand (-1 - 3 - 5)*(0*u**2 + 0*u**2 - 2*u**2) - 1 + 3*u**2 - 3*u**2 - u - 2*u**2.
16*u**2 - u - 1
Expand ((-2 + 2 + 2)*(-2 + 3 + 1) - 6 - 2 + 2)*(-5*n + 2*n**3 + 2*n**3 + 6*n).
-8*n**3 - 2*n
Expand (-1 - f + 1)*(-3 + 16 + 6).
-19*f
Expand 2*l - 3*l + 0*l + (1 - 4 + 1)*(2*l + 0*l + 0*l) - 29*l + 11*l + 14*l + 2*l + 1 - 1.
-7*l
Expand (3 - 4 - 3)*(-6*y**2 - 3 - 2*y**2 + 7*y**2).
4*y**2 + 12
Expand (-8*s**3 + 29 - 29)*(s - 3*s + 0*s)*(-s + 6*s - 3*s).
32*s**5
Expand (-j**4 + 5*j**4 + 5*j**4)*(4*j + 3*j - 5*j).
18*j**5
Expand 4*g + 6*g + g + 0*g + (0*g - 3*g + 4*g)*(-5 + 3 + 4).
13*g
Expand (-2 + 2 - 2*n**3)*(n**2 - 2*n + 2*n) + 2*n**3 - 2*n**3 - n**5 + n + 2*n**5 - n + (-3 + 3 + n)*(-n**3 + n**3 + 7*n**4).
6*n**5
Expand -3*t**3 + 0*t**3 + t**3 + 2*t**3 + 0*t + 0*t + (0*t + 3*t - 5*t)*(-12 + 12 + 84*t**2).
-168*t**3
Expand (-2 - 2*v + 2)*(1 + 5 - 7)*(2*v - 3*v + 3*v).
4*v**2
Expand (-1 + 1 - 3*x)*(-4*x**3 + 4*x**3 - 2*x**3).
6*x**4
Expand (52*w**2 - 21*w**2 + 27*w**2)*(-3*w + w + 4*w) + (-2 - 4 + 4)*(-2*w**3 + 3*w**3 + w**3) + w**3 - 4*w + 4*w.
113*w**3
Expand (1 - 2*w**3 - 1)*(-w**2 - 2 - 10 + 5).
2*w**5 + 14*w**3
Expand (3*o - 8 + 8)*(-3*o**3 + 5*o**3 - 3*o**3) - 3*o**4 + 5*o**4 - 5*o**4.
-6*o**4
Expand (-4*s + 4*s + s)*(0*s + 0*s + 3*s)*(0 + 0 + 2*s)*(0 - 1 + 3).
12*s**3
Expand -f**2 - 4*f**2 + 2*f**2 + 3*f - 2 - 3*f - 7*f**2 - 2*f + (2*f + 3*f - 3*f)*(2*f - 2*f + f).
-8*f**2 - 2*f - 2
Expand (-5*m + 3*m + 3*m)*(-2*m - 40 - 38 + 72).
-2*m**2 - 6*m
Expand ((0*s**2 + 0*s**2 + s**2)*(-2*s - 2*s**2 + 2*s) + (3*s**3 + 0*s**3 - s**3)*(3*s - 3*s - s) - 2*s**4 - 3*s**2 + 3*s**2)*(-6 - 12 + 12).
36*s**4
Expand (2*m**2 - 5*m**2 + 4*m**2)*(12*m - 26*m + 10*m - 2).
-4*m**3 - 2*m**2
Expand (3*x - 2 + 2)*((x - x**2 - x)*(2*x**2 + 0*x + 0*x) - 55 - 3*x**4 + 55).
-15*x**5
Expand -w**2 + w**2 + 2*w**2 + 2*w**2 - 2 + 2 + (7*w**2 - 17*w**2 + 0*w**2)*(0 - 1 - 1) + (-2*w + 0 + 0)*(-2 + 3*w + 2).
18*w**2
Expand (x - x + x**2)*(2 - 1 - 3) - 2 + 0 + 3 + 3*x**2.
x**2 + 1
Expand 0*j**4 - 3*j**4 + j**4
|
{
"pile_set_name": "DM Mathematics"
}
|
m ikiikiikikkllkiii.
3/85
Three letters picked without replacement from {m: 4, q: 2, j: 1, c: 1, y: 1, p: 3}. What is prob of sequence qqj?
1/660
Three letters picked without replacement from qtmqqquqtmmqmqtmnn. What is prob of sequence muq?
35/4896
Three letters picked without replacement from zfaaaasqqqaqaaala. Give prob of sequence zqs.
1/1020
Four letters picked without replacement from {c: 1, g: 6, x: 1, v: 1, t: 3}. Give prob of sequence vcgx.
1/1980
Three letters picked without replacement from moosd. What is prob of sequence msd?
1/60
What is prob of sequence htht when four letters picked without replacement from {t: 3, h: 11}?
5/182
Two letters picked without replacement from uuuuuuuuuuzuhz. Give prob of sequence uu.
55/91
What is prob of sequence uuf when three letters picked without replacement from unxnxffnngf?
0
Calculate prob of sequence nn when two letters picked without replacement from {n: 3, i: 2}.
3/10
Calculate prob of sequence sgs when three letters picked without replacement from gsgse.
1/15
Calculate prob of sequence bb when two letters picked without replacement from {b: 7, t: 5}.
7/22
Calculate prob of sequence acdh when four letters picked without replacement from hahcd.
1/60
What is prob of sequence ww when two letters picked without replacement from wnnwwwngw?
5/18
Three letters picked without replacement from {a: 5, i: 5}. What is prob of sequence aii?
5/36
Three letters picked without replacement from {f: 1, c: 5, p: 3}. Give prob of sequence pfc.
5/168
Three letters picked without replacement from {z: 7, r: 3, b: 2, t: 8}. Give prob of sequence ztz.
14/285
Calculate prob of sequence cocn when four letters picked without replacement from wddconddnndkcnodd.
1/3570
What is prob of sequence elo when three letters picked without replacement from {l: 1, e: 5, o: 5}?
5/198
Calculate prob of sequence iaj when three letters picked without replacement from iraiaiiarj.
1/60
Four letters picked without replacement from noonoixioni. Give prob of sequence ooox.
1/330
Three letters picked without replacement from {z: 5, u: 2, k: 4}. What is prob of sequence uzz?
4/99
Two letters picked without replacement from mmmmmmmmvmmmmmvmmv. Give prob of sequence mv.
5/34
Four letters picked without replacement from {j: 6, k: 2, n: 4, i: 6}. What is prob of sequence jkik?
1/1020
What is prob of sequence tyu when three letters picked without replacement from xytug?
1/60
Calculate prob of sequence hh when two letters picked without replacement from hhlxlghhp.
1/6
Calculate prob of sequence hhz when three letters picked without replacement from {h: 2, z: 7}.
1/36
Calculate prob of sequence fhhf when four letters picked without replacement from hfhhfhhhfhhhhf.
45/1001
Calculate prob of sequence gggg when four letters picked without replacement from ogggggggogg.
21/55
Calculate prob of sequence www when three letters picked without replacement from wwwz.
1/4
What is prob of sequence anww when four letters picked without replacement from wgangwggn?
1/756
Two letters picked without replacement from {j: 5, o: 11, c: 1}. What is prob of sequence oc?
11/272
Calculate prob of sequence ny when two letters picked without replacement from ohnvrvy.
1/42
Four letters picked without replacement from uuuu. Give prob of sequence uuuu.
1
Two letters picked without replacement from {h: 1, p: 1, x: 1, m: 3, r: 5}. What is prob of sequence rp?
1/22
Two letters picked without replacement from xxwxwhcxhwwahhww. Give prob of sequence xc.
1/60
Three letters picked without replacement from {w: 2, c: 5, s: 1, p: 2, t: 6}. What is prob of sequence cww?
1/336
Three letters picked without replacement from qihwizg. Give prob of sequence qiw.
1/105
Two letters picked without replacement from {s: 2, q: 1, e: 2, x: 4, p: 3}. Give prob of sequence es.
1/33
Four letters picked without replacement from hhhhh. What is prob of sequence hhhh?
1
What is prob of sequence qq when two letters picked without replacement from irbqbqbizqzizzkiz?
3/136
Two letters picked without replacement from wttrbw. What is prob of sequence wb?
1/15
What is prob of sequence pk when two letters picked without replacement from tkpkjjpc?
1/14
Two letters picked without replacement from {t: 2, c: 5}. What is prob of sequence ct?
5/21
Calculate prob of sequence xf when two letters picked without replacement from fxfv.
1/6
Two letters picked without replacement from {m: 2, l: 4, a: 3, h: 2}. What is prob of sequence mm?
1/55
What is prob of sequence bsvk when four letters picked without replacement from {k: 1, s: 5, v: 5, b: 5}?
25/8736
Calculate prob of sequence pfa when three letters picked without replacement from afadfrrffrffpkfkff.
1/272
Two letters picked without replacement from szvvrvzvvze. Give prob of sequence zz.
3/55
Calculate prob of sequence vi when two letters picked without replacement from iuvuwuwuuuuuwuww.
1/240
Two letters picked without replacement from nnrtk. What is prob of sequence kr?
1/20
Two letters picked without replacement from {u: 2, g: 2, v: 6, e: 3}. What is prob of sequence gv?
1/13
What is prob of sequence ls when two letters picked without replacement from hlsno?
1/20
What is prob of sequence kk when two letters picked without replacement from {k: 2, w: 5, q: 7}?
1/91
Calculate prob of sequence br when two letters picked without replacement from {b: 1, w: 2, d: 3, l: 2, r: 2, f: 2}.
1/66
Three letters picked without replacement from bbbnbnnbbnbbnnbbbb. What is prob of sequence bbn?
11/68
Two letters picked without replacement from googooggiogoogogiog. Give prob of sequence oo.
4/19
Calculate prob of sequence ldtl when four letters picked without replacement from tllld.
1/20
Four letters picked without replacement from vvbvvbvbbvnvnb. What is prob of sequence bnbn?
5/3003
Two letters picked without replacement from {f: 8, n: 4, c: 5, s: 1}. Give prob of sequence ff.
28/153
Four letters picked without replacement from {i: 3, e: 1, v: 4, n: 6}. What is prob of sequence nivv?
9/1001
Three letters picked without replacement from nuwnvzr. Give prob of sequence nvz.
1/105
What is prob of sequence aj when two letters picked without replacement from taadaiajj?
1/9
Calculate prob of sequence vv when two letters picked without replacement from viiiiieiviivvi.
6/91
What is prob of sequence glgx when four letters picked without replacement from {l: 6, x: 1, g: 2, a: 5, p: 1}?
1/2730
Three letters picked without replacement from eeppppppepe. What is prob of sequence pep?
28/165
What is prob of sequence ssmr when four letters picked without replacement from smxmxrrxrxrssmm?
4/1365
What is prob of sequence isp when three letters picked without replacement from zkkzpikpsz?
1/360
Calculate prob of sequence sb when two letters picked without replacement from ssbbbbbbb.
7/36
Three letters picked without replacement from ffwkfkwwwfkwwff. Give prob of sequence wfw.
6/91
Two letters picked without replacement from {d: 10, m: 7, h: 1, x: 1}. What is prob of sequence hx?
1/342
Four letters picked without replacement from {i: 2, x: 4, j
|
{
"pile_set_name": "DM Mathematics"
}
|
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