text stringlengths 270 8.19k | meta dict |
|---|---|
)/c**(-4))/(c**2/c)**(-45)) assuming c is positive.
c**(-3453/55)
Simplify ((p**(1/5)/p)/p*p)/p**(-10)*p*p*p**(-1/10)/p*p**(-24)*p*p assuming p is positive.
p**(-119/10)
Simplify (w**(-2)*(w**(-5/4)*w)/w*w)/(w**(1/11)/(w/w**(-4)))*(((w**(-1/2)*w)/w)/(w*(((w*w**0)/w)/w)/w*w))/(w**(-1))**(1/13) assuming w is positive.
w*... | {
"pile_set_name": "DM Mathematics"
} |
for o.
-1
Let m be (-10 + 8)*(-14)/4. Suppose -3*s + m = -2. Solve -2*r + 5*n - 2 = s*n, 4*n = r - 8 for r.
-4
Suppose 0 = 7*a - 10*a + 6. Solve 4*y = -0*y - 3*d - 3, a*y = 4*d + 26 for y.
3
Let l be (-13)/(-2) - (-3)/(-6). Let o(b) = 2*b - 9. Let g be o(l). Solve -5*s = -5*r - 2 - 3, -g*r - 9 = -5*s for r.
2
Let n be ... | {
"pile_set_name": "DM Mathematics"
} |
axaaaawaawax?
6/715
Three letters picked without replacement from {k: 3, r: 9, g: 7}. Give prob of sequence grg.
21/323
Three letters picked without replacement from ttvvvtvvvvvv. What is prob of sequence vtt?
9/220
Two letters picked without replacement from jjb. Give prob of sequence jj.
1/3
Two letters picked withou... | {
"pile_set_name": "DM Mathematics"
} |
-4*h + h - 4*h = m for h.
0
Let p = -34 - -17. Let x = p - -5. Let k be x*(-1 - 1/(-2)). Solve -r = -k*r for r.
0
Let p be -3*(5/(-3) + 3). Let h be 18/p*(-2)/3. Suppose v - 19 = 4*x, -v - 4*v - h*x + 3 = 0. Solve -v*r = -0*r - 6 for r.
2
Let x = 89 - 89. Let o be (1 - 3/3)/(x - -2). Solve o = -0*n - n - 1 for n.
-1
Le... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 70*a)*(-3*a + 0*a + a) + 8 - 36*a**3 + 73*a**3 - 8 + 104*a**3 - 2*a.
77*a**3 - 2*a
Expand (-3 + i + 2 + 2)*(-406 - 391 + 12959*i + 797).
12959*i**2 + 12959*i
Expand (2 - 2 + 2*c)*(-11 - 1 + 3)*(-63*c**4 - 59*c**4 + 156*c**4 + 5*c).
-612*c**5 - 90*c**2
Expand 0*n**2 - n**2 - 3*n**2 + (2*n + 0*n - 3*n)*(0 - 2*n + 0... | {
"pile_set_name": "DM Mathematics"
} |
3, 0 = -11*r + 16*r + 5*f - 25. Suppose -15*h + r*h = -2835. List the prime factors of h.
3, 5, 7
Suppose -2*p - 226 = 2*v, 5*v - 484 = 4*p + v. Let t = p - -242. List the prime factors of t.
5
List the prime factors of 18/63 + 148756/28.
3, 7, 11, 23
Let y(r) = -4*r + 7. Let o(h) = -11*h + 20. Let c(p) = -6*o(p) + 17... | {
"pile_set_name": "DM Mathematics"
} |
n divisor of 3087 and 5345655.
1029
What is the highest common divisor of 108 and 7428?
12
Calculate the greatest common factor of 88276 and 3805.
761
What is the greatest common factor of 54 and 31788?
18
Calculate the greatest common factor of 3114 and 7344.
18
What is the highest common divisor of 210 and 734160?
21... | {
"pile_set_name": "DM Mathematics"
} |
r?
False
Is 3088963 a prime number?
False
Is 18876499 prime?
True
Is 165953207 prime?
False
Is 1685969 composite?
True
Is 23396113 a prime number?
False
Is 26941097 prime?
False
Is 9182387 a prime number?
True
Is 18303854 composite?
True
Is 1124432687 a prime number?
False
Is 33541154 composite?
True
Is 83623789 a prim... | {
"pile_set_name": "DM Mathematics"
} |
divide (a - (-4 + -2))*7?
True
Let c be (0 - -5)/((-814)/(-136) - 6). Let b = 400 + c. Does 6 divide b?
True
Let f(u) = -106*u**3 + 6*u + 5. Let m be f(-1). Let i = -94 + m. Suppose 27*n = i*n + 480. Does 10 divide n?
True
Is 40 a factor of 1/14 - 65899822/(-1204) - (-2)/(-14)?
False
Suppose 8947 = 6*b - 4006 + 1871. I... | {
"pile_set_name": "DM Mathematics"
} |
2 + 6*s. Calculate y(m).
-36
Let a(k) = k**2 - 3*k. Let h(z) = -z**2 - 18*z - 23. Let t = 13 - 27. Let j be h(t). Suppose 11*b = 11 + j. What is a(b)?
4
Let t(k) be the first derivative of -k**3/3 + 3*k**2 + 8*k - 29. Let m = 9 + 30. Suppose 2*z = 5*s - 36, 6*z = 4*s + z - m. Calculate t(s).
8
Let p(j) = -28*j - 29. Le... | {
"pile_set_name": "DM Mathematics"
} |
of v.
2, 3
Let c be 1*4 + (-12)/12. Suppose -5*d = -p + 55, -3*p - c*d - 2*d = -205. List the prime factors of p.
5, 13
Let g(l) = 2*l**3 + 7*l**2 - 6*l + 1. Let w be g(4). Suppose 3*k + 6 = 0, -3*s - 2*s - 4*k = -w. What are the prime factors of s?
3, 5
List the prime factors of (0 - (4 + -1))/((-12)/40).
2, 5
Suppos... | {
"pile_set_name": "DM Mathematics"
} |
13?
False
Does 5 divide (-4 + 95/10)*10?
True
Suppose -4*h = -r - h + 23, -3*h = -12. Is r a multiple of 5?
True
Let k(l) = 61*l - 5. Let a be k(-3). Is 9 a factor of (-6)/15 + a/(-20)?
True
Let l(g) = g**3 - g**2 - g + 1. Let t(w) = -3*w**3 + 8*w**2 + 6*w + 2. Let z(n) = -4*l(n) - t(n). Let d be z(-4). Is (4/(-6))/(d... | {
"pile_set_name": "DM Mathematics"
} |
. Is t(p) a composite number?
True
Suppose 5*b = 3*s + 2*b - 522, b = -2*s + 351. Let r = s + -124. Is r a composite number?
True
Let l(c) = 3*c**3 - 8*c**2 + 11*c + 5. Let t(m) = -4*m**3 + 8*m**2 - 11*m - 4. Let f(k) = 5*l(k) + 4*t(k). Is f(-11) a prime number?
True
Let c = 7 + 0. Suppose -5*n + c = -3. Is 462/4 - 1/n... | {
"pile_set_name": "DM Mathematics"
} |
be y(v). Solve 6 = -d*n - 4 for n.
-2
Let y be 138/(-21) + (-3)/7. Let g = y - -10. Solve -6*v = -g*v + 6 for v.
-2
Suppose 0 = -2*h + 3*t + 4, h + 4*t + 13 = -4*h. Let g be (-1)/1*(-3 - h). Suppose g*d = -3*f + 1, 4*d - 8*d - 3*f + 5 = 0. Solve -2 = 4*j - d*j for j.
-1
Let a(l) = -l**2 - 6*l + 5. Let x be a(-6). Solve... | {
"pile_set_name": "DM Mathematics"
} |
derivative of -17/60*m**6 + 0 + 0*m + 7/10*m**n + 2/3*m**3 - 11/12*m**4 + 2*m**2 + 1/21*m**7. Factor u(b).
2*(b - 1)**3*(5*b - 2)
Suppose 5*c - 12 + 5*c**2 + 27 - 15 = 0. Calculate c.
-1, 0
Find i, given that 8*i**4 + 2*i**5 - 8*i + 1 + 6*i**3 - 8*i**2 - 1 = 0.
-2, -1, 0, 1
Let w(c) = -c + 4. Let h be w(4). Let d be 0 ... | {
"pile_set_name": "DM Mathematics"
} |
o(l) = -3*l + 15 + l**2 + 7*l - w*l + 19. Is 17 a factor of o(0)?
True
Suppose -49 = 2*i - 9*i. Suppose 229 = i*c - 338. Is c a multiple of 16?
False
Let u(y) = -11*y + 271. Let w(d) = -5*d + 136. Let s(o) = -2*u(o) + 5*w(o). Is 56 a factor of s(0)?
False
Let g(h) = 103*h + 2. Let b be g(-1). Let p = -61 - b. Does 10 d... | {
"pile_set_name": "DM Mathematics"
} |
ative of 2*r**4 - y - 3 + 3 wrt r?
8*r**3
Let u be (4 - 0)/2 - -1. Suppose -u*g = g - 16. Find the first derivative of 0 + 1 + q**g + 1 wrt q.
4*q**3
Let k(i) = -9*i**3 + 3*i**2 + 4. Let b(t) = 26*t**3 - 8*t**2 - 13. Let u(j) = -3*b(j) - 8*k(j). Find the first derivative of u(c) wrt c.
-18*c**2
Suppose 0*w - 3*w = -24.... | {
"pile_set_name": "DM Mathematics"
} |
o. Solve -c + 5*z - 4 = 0, 4*c + g - 10 = -4*z for c.
-4
Suppose 0 = -s - z + 5*z + 18, -4*s + 46 = -3*z. Solve -c - 9 + 4 = 2*p, s = -2*c - 2*p for c.
-5
Let u(o) = -o**2 + 8*o - 2. Let l be u(6). Let c be (-17)/(-5) + (-4)/10. Solve c*g + 4*d = -2*g + 12, 2*g = d + l for g.
4
Suppose 0 = -5*h + 7*h - 48. Solve 4*c +... | {
"pile_set_name": "DM Mathematics"
} |
ue
Is 619042 prime?
False
Is 90858607 composite?
True
Is 205204957 a composite number?
True
Is 55067629 prime?
False
Is 12848509 a composite number?
True
Is 1683811 a prime number?
False
Is 22388701 a composite number?
True
Is 822601541 prime?
False
Is 265580257 composite?
True
Is 4999567 a prime number?
False
Is 34775... | {
"pile_set_name": "DM Mathematics"
} |
5*u - 42*d - 20. Solve k + 4*k = 5*y, u*k - 20 = 0 for y.
4
Let k = 446 + -443. Solve k*f = 4*o + 5, -3*f + 3 = -o + 13 for o.
-5
Suppose 3*z + 5*f = -56, -4*f - 28 = -0*z + z. Let j = -9 - z. Solve 2*y + j*y = 5*o - 15, 12 = -2*y - 4*o for y.
-4
Let c = -93 - -55. Let j = -35 - c. Suppose -n = 1, 2*n = -3*o + 6*n + 19... | {
"pile_set_name": "DM Mathematics"
} |
vative of f(y) wrt y?
6*y
Let z(a) = -a**3 - 6*a**2 - 7*a - 7. Let r(o) = -3*o + 4. Let s be r(3). Let j be z(s). Find the second derivative of 3*h + 4*h**j - 4*h - 2*h**3 wrt h.
12*h
Let g(d) = 29*d**3 - 2*d**2 + 2*d + 14. Let s(w) = -57*w**3 + 5*w**2 - 5*w - 28. Let f(n) = -5*g(n) - 2*s(n). What is the derivative of ... | {
"pile_set_name": "DM Mathematics"
} |
63657 + -173457. Round x to the nearest 10000.
-110000
Let w be (-5869733)/(1/2*2). Let h(p) = -p**3 - p**2 - 3*p + 1669733. Let x be h(0). Let g = w + x. Round g to the nearest one million.
-4000000
Let s = 2.36 - 0.46. Let f = s - 1.90056. Round f to four dps.
-0.0006
Let g = 1.4 - 1.54. Let a = -49.08 - -50. Let z ... | {
"pile_set_name": "DM Mathematics"
} |
of (-8 - (-104)/12)*(-45)/3?
-10
What is the value of (-6 - (-12 - -6))*1?
0
What is the value of (-78)/(-19) + 2064/(-114) + 18?
4
Evaluate 6/(-14)*273/(-468).
1/4
What is the value of (288/(-108))/((-4)/9)?
6
Calculate 33/11 + 4/(-3).
5/3
What is (-12)/(-9) + 77/(-33)?
-1
What is the value of (-4)/(-18) - (-2867)/(-5... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 3*u + 6
Let r(w) = 1686*w**2. Let j(a) = -201*a. Calculate r(j(n)).
68116086*n**2
Let j(t) = t**2. Let g(h) = -10162*h + 5083*h + 5079*h - 352*h**2. Calculate j(g(z)).
123904*z**4
Let b(r) = 34*r. Let s(m) be the first derivative of 0*m**2 - 1/6*m**3 + 12 + 14*m. Let g(p) be the first derivative of s(p). What is ... | {
"pile_set_name": "DM Mathematics"
} |
derivative of -r**2 - 4. Calculate f(g(u)).
-2*u**2
Let a(w) be the second derivative of 0*w**2 + 6*w + 0 + 5/6*w**4 + 0*w**3. Let o(n) = n**2. Determine o(a(d)).
100*d**4
Let m(s) be the second derivative of 2*s - s - s**3 - 3*s. Let b(p) = -p**2. Give m(b(g)).
6*g**2
Let a(h) = 115*h**2. Let o(q) = 3*q**2. Determine ... | {
"pile_set_name": "DM Mathematics"
} |
n 1523 is divided by 61/4 - (-42)/(-168).
8
Suppose -87 = -6*o - 15. Suppose -7*v + o*v - 785 = 0. Calculate the remainder when v is divided by 8.
5
Let g = -12679 - -12685. What is the remainder when 9616 is divided by g?
4
Let x be -7 - -6 - -3 - 4. Let r = 7 + x. What is the remainder when 12 is divided by r?
2
Supp... | {
"pile_set_name": "DM Mathematics"
} |
3*m - 439 = -s + 231, -2760 = -4*s - 4*m. Suppose -7*b = 5*l - 3*b - 685, -5*l + s = 5*b. Let u = 74 + l. Is u prime?
True
Suppose 2*t - l = 205, 4*t + 3*l - 413 = 2*l. Let s = t + -29. Is s a prime number?
False
Suppose -5147 = 6*c - 36389. Is c composite?
True
Let p = 1395 - 384. Is ((-3)/((-36)/p))/(4/16) a composit... | {
"pile_set_name": "DM Mathematics"
} |
ed to five dps?
0.00001
Let g = 0.034 - 0.404. Round g to one dp.
-0.4
Let k = -4235744 - -4235922.9917. Let m = k + -179. What is m rounded to 3 decimal places?
-0.008
Let k(a) = -a**3 + 6*a**2 + 8*a - 7. Let s be k(7). Suppose -3*l = -4*l + 4*x + 15420, 4*l + 5*x - 61575 = s. What is l rounded to the nearest one thou... | {
"pile_set_name": "DM Mathematics"
} |
s the second derivative of v(r) wrt r?
-1140*r**3
Let i be (-13)/(-2) - 6/4. Find the third derivative of -5*l**i + l**2 + 4*l**2 - 3*l**2 - 4*l**2 wrt l.
-300*l**2
Let q(c) = -2*c**3 + 6*c**2 - c - 4. Let k be q(2). Let v(l) be the second derivative of 0 + 0*l**3 + l**k - l - 1/6*l**4. What is the derivative of v(y) w... | {
"pile_set_name": "DM Mathematics"
} |
vative of -3765*r*w - 30821*w wrt r?
-3765*w
What is the third derivative of -6845*f*l*y**3 + 2*f*l*y**2 + 22*f*y**4 - f - l*y**4 + l*y**2 - 10*y**2 - 397 wrt y?
-41070*f*l + 528*f*y - 24*l*y
What is the second derivative of -1574*a**2*y**4 + 68*a**2*y**2 + 5*a**2 - 2252*a*y - 4*a wrt y?
-18888*a**2*y**2 + 136*a**2
Dif... | {
"pile_set_name": "DM Mathematics"
} |
-3
What is the fourth smallest value in -5, 5, -4, 0.5?
5
Which is the second biggest value? (a) -7 (b) -2/15 (c) 9
b
What is the second smallest value in -3, -310, -1/6?
-3
What is the fourth biggest value in -1/6, -298, -2/5, 1?
-298
What is the biggest value in -7, -0.5, 0.1, 0.4, -0.1?
0.4
Which is the second sm... | {
"pile_set_name": "DM Mathematics"
} |
-3?
g
Let f be (-6)/(-9) + 8/6. What is the closest to 1/4 in -1/9, -1, f?
-1/9
Let r = -1 + 1.03. Let s = -0.37 - r. Which is the closest to 0? (a) s (b) -1/2 (c) 0
c
Let t = -3.9 - 0.1. Let p = -1 - -0.9. Which is the closest to p? (a) 4 (b) t (c) -3
c
Suppose c = 5*c. Suppose -5*z = -0*z - 15. What is the clos... | {
"pile_set_name": "DM Mathematics"
} |
d be t(6). Let b be (-8)/12*(-2)/(-20). Which is smaller: d or b?
b
Let h = -0.341 + 0.152. Let r = h - 0.011. Which is greater: -0.13 or r?
-0.13
Let w = 61 + -66. Suppose 9 + 105 = -19*j. Which is smaller: j or w?
j
Let p be (-12)/(-40)*6/(-18). Suppose -5 = 5*f - 0. Is f not equal to p?
True
Let n(y) = -y**3 - 9*y**... | {
"pile_set_name": "DM Mathematics"
} |
*y**2 - y + 1/6*y**4 + 0. Find the second derivative of a(h) wrt h.
4
Let x(a) = 5*a**2 + 2*a + 1. Let h be x(-1). What is the first derivative of -3 + 11 - h - 3*f wrt f?
-3
Let d(y) = 37*y**3 - 32*y**2 - 4*y. Let r(w) = 36*w**3 - 32*w**2 - 3*w. Let b(g) = 3*d(g) - 4*r(g). Find the third derivative of b(n) wrt n.
-198... | {
"pile_set_name": "DM Mathematics"
} |
xll.
1/560
Calculate prob of sequence cc when two letters picked without replacement from {e: 4, z: 6, c: 5}.
2/21
Two letters picked without replacement from {j: 4, y: 3, l: 5}. What is prob of sequence jl?
5/33
Calculate prob of sequence bbx when three letters picked without replacement from babaabax.
1/56
What is p... | {
"pile_set_name": "DM Mathematics"
} |
9/3 - (-14)/(-2))?
False
Let u(x) = -x**3 - 11*x**2 - 3*x + 8. Is u(-11) a multiple of 16?
False
Let s = 19 - 16. Suppose -25 + 4 = -5*c + 2*h, -3*h = s*c - 21. Does 3 divide c?
False
Suppose 20 = -4*a - 188. Let v = a - -81. Is v a multiple of 13?
False
Suppose -3*w = -f + 24, -3*f + 0*w + 72 = 4*w. Is f a multiple of... | {
"pile_set_name": "DM Mathematics"
} |
= i + -7. What is the tens digit of (2 - -10) + (g - 2)?
1
Let c be (-4)/(-12) - (-2)/(-6). Suppose -5*b - 4*p - 23 + 437 = c, -b = 2*p - 78. What is the units digit of b?
6
Let j = 1294 - 852. Let h = j - 196. What is the units digit of h?
6
Let w = -12 + 6. Let v(u) be the third derivative of u**5/60 + u**4/6 - 2*u*... | {
"pile_set_name": "DM Mathematics"
} |
5/63
What is prob of picking 1 d and 1 g when two letters picked without replacement from {g: 7, d: 3, q: 2}?
7/22
Calculate prob of picking 3 z when three letters picked without replacement from {z: 6, l: 4, b: 2, i: 1}.
10/143
Two letters picked without replacement from eeeeffeffefe. Give prob of picking 2 f.
5/33
T... | {
"pile_set_name": "DM Mathematics"
} |
In base 3, what is -210 - -11200221?
11200011
In base 3, what is -1100021112210 - -10?
-1100021112200
In base 13, what is b9 + -26?
93
In base 3, what is -1022112 - 1212?
-1101101
In base 9, what is -70565 + -4?
-70570
In base 3, what is -11011 + 221001?
202220
In base 12, what is -382471 - -4?
-382469
In base 2, what ... | {
"pile_set_name": "DM Mathematics"
} |
rivative of -1/112*p**8 - 3*p**2 + 0 - 1/24*p**4 + 1/21*p**7 - 1/10*p**6 + 1/10*p**5 + 0*p**3 + 0*p. Let q(m) = 0. What is m?
0, 1/3, 1
Let y = 55 + -60. Let r be (2/3)/(y/(-30)). Solve 2/5*l**3 + 0*l + 2/5*l**2 + 0 - 2/5*l**r - 2/5*l**5 = 0 for l.
-1, 0, 1
Factor -52*l**2 - 1827*l + 15 + 12*l**2 + 1712*l.
-5*(l + 3)*(... | {
"pile_set_name": "DM Mathematics"
} |
to base 4.
-2230
What is 11232122 (base 4) in base 13?
a89b
1342 (base 8) to base 5
10423
-63 (base 9) to base 4
-321
What is 3612 (base 7) in base 16?
534
Convert 2111 (base 4) to base 7.
302
Convert c75 (base 13) to base 8.
4114
11101000110011 (base 2) to base 16
3a33
-110000 (base 3) to base 2
-101000100
-8b9 (base ... | {
"pile_set_name": "DM Mathematics"
} |
What is l(g)?
7
Let v(o) = -o**3 - 6*o**2 - 5*o + 1. Suppose -10*f - 33 - 17 = 0. Give v(f).
1
Let k(l) be the third derivative of l**7/5040 + 17*l**6/720 + l**5/60 + 3*l**2. Let h(a) be the third derivative of k(a). Calculate h(0).
17
Let g(c) = -3*c**3 + 7*c**2 + c + 8. Let l be (0/4 - -1) + 2. Let r(b) = 2*b**3 - 6*... | {
"pile_set_name": "DM Mathematics"
} |
1/32 (b) -4 (c) -1/3
b
What is the nearest to -0.3 in -0.2, -2, 0.05, -1?
-0.2
Which is the nearest to -0.03? (a) -1/3 (b) -2/5 (c) -0.1
c
Which is the closest to 0.09? (a) -4 (b) -3/5 (c) 1/3 (d) -3
c
Which is the nearest to 2? (a) 0.3 (b) -0.02 (c) -4 (d) 5
a
What is the nearest to -5 in 3, 0, 4/3, -4?
-... | {
"pile_set_name": "DM Mathematics"
} |
= 0. What is the third derivative of -26*g**3 + g**f + 22*g**3 - 3*g**2 wrt g?
-24
Let f(x) = -45*x**2 + 33*x + 9. Let r(p) = -11*p**2 + 8*p + 2. Let j(o) = -2*f(o) + 9*r(o). Find the second derivative of j(l) wrt l.
-18
Let q(h) = 5*h**2 - 20*h + 8. Let m(d) = -d**2 + 10*d - 3*d - 4*d**2 - 3 + 3*d**2. Let i(p) = -8*m... | {
"pile_set_name": "DM Mathematics"
} |
3)/(-9)*9*-72. Is 30/(-50) + x/(-10) a prime number?
False
Suppose 2*i - 3*p = -13, -3*i + 0*p - 5*p = 10. Let q be (-1 - -594) + i + 4. Is ((q/(-4))/4)/(-1) composite?
False
Let d = 762 - 425. Is d a composite number?
False
Suppose 12844 = -5*u - 4*w, u - 2*w = -0*w - 2566. Let c be ((-6)/9)/((-4)/u). Let z = c + 927.... | {
"pile_set_name": "DM Mathematics"
} |
. Let f(p) = -p**3 - p - 3. Let u(t) = 4*t**3 + 4*t + 13. What is s*u(c) - 18*f(c)?
2*c**3 + 2*c + 2
Let x(l) = 42*l**2 + 5*l + 23. Let c(t) = -15*t**2 - 2*t - 8. Calculate 11*c(r) + 4*x(r).
3*r**2 - 2*r + 4
Let h(k) = -20*k - 5. Suppose 3 = -z - 4*t + 1, 4*z + 3*t - 5 = 0. Let m(u) = 4*u + 1. Determine z*h(b) + 11*m(b... | {
"pile_set_name": "DM Mathematics"
} |
ce nn when two letters picked without replacement from nngzkzn.
1/7
What is prob of sequence ooo when three letters picked without replacement from {o: 3}?
1
Four letters picked without replacement from {y: 4, r: 2, e: 4}. What is prob of sequence eyee?
2/105
Four letters picked without replacement from {y: 2, w: 9}. W... | {
"pile_set_name": "DM Mathematics"
} |
-187 = -55*h + 133 + 175 for h.
9
Solve 751365 = 1729*f + 632064 for f.
69
Solve 278227 - 52634 = -8969*a - 739*a - 17107 for a.
-25
Solve -9987723*g = -9987627*g + 288 for g.
-3
Solve -1237*k - 3827*k = -334594 - 426657 + 52291 for k.
140
Solve 28221 = 3445*v + 124381 + 1255 + 67945 for v.
-48
Solve -2185*n - 75*n = ... | {
"pile_set_name": "DM Mathematics"
} |
+ 11 = -3*l. Let o(x) = -3*x**2. What is o(c)?
-12
Let x(z) = z - 2. Let j be x(0). Let c(a) = 15*a - 9. Let k(h) = -16*h + 11. Let o(r) = 7*c(r) + 6*k(r). What is o(j)?
-15
Let v(k) = -k**3 - 5*k**2 - 1. Suppose -49*d + 66 = -48*d. Let z be 22/d + 24/(-9)*2. Calculate v(z).
-1
Suppose -150*s + 24*s = 378. Let j(c) = -... | {
"pile_set_name": "DM Mathematics"
} |
4*t - t**5.
10*t**5 + t**4
Expand (-1 + 10 + 6)*(0*p - 7*p + 4*p) + (6 - 3 - 2)*(0*p + 0*p + p) + 3*p - 1 + 1 + (-3*p - 4*p + 5*p)*(0 + 0 - 2) - p + 2*p + 0*p - 3*p + 5*p - p.
-35*p
Expand -57*g**2 - 2 + 0*g**3 + 53*g**2 - g**3 + (3 + 2*g**2 - 3)*(3*g + 0*g + 0*g).
5*g**3 - 4*g**2 - 2
Expand (-3 - 2*v**4 + 3)*(-3 + 3 +... | {
"pile_set_name": "DM Mathematics"
} |
2*s**2 + 549695*s*x**2 wrt x.
-8*s**2 + 1099390*s
Find the third derivative of -89*l**6*v**3 + 658*l**3*n**2 - 56*l**2*n**2*v**2 + l**2*n**2*v + 6*n**2*v + 8*n*v**3 wrt l.
-10680*l**3*v**3 + 3948*n**2
Find the third derivative of 2*k**5 + 3500*k**3*r + 2*k**2 - 33*k*r - 16*r wrt k.
120*k**2 + 21000*r
What is the third ... | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from {q: 1, h: 4, c: 3, d: 1, k: 4}.
1/429
What is prob of sequence ii when two letters picked without replacement from pkkidirkk?
1/36
Four letters picked without replacement from {g: 1, m: 3, a: 4, e: 10}. Give prob of sequence meag.
1/612
Calculate prob of sequence cd when two letters pick... | {
"pile_set_name": "DM Mathematics"
} |
*b**2 + 0*b**4 - 3*b**4 + 2*b**4 wrt b.
-24*b
Let i(u) be the first derivative of -u**10/720 - 11*u**6/360 - 2*u**3 + 4. Let z(q) be the third derivative of i(q). Find the third derivative of z(j) wrt j.
-840*j**3
Let w(n) = -n + 1. Let m be w(-5). Let z(k) = k + 9. Let s be z(-6). Differentiate 6*r - m*r - 3*r**4 + s ... | {
"pile_set_name": "DM Mathematics"
} |
j and 2?
2
Let n = 532 + -499. Calculate the highest common divisor of n and 27.
3
Suppose -i - v + 373 = -500, -5*v + 3496 = 4*i. What is the greatest common divisor of 11 and i?
11
Let x(s) = -s**3 - s**2 + 5*s + 7. Let p be x(-5). Suppose 2*q - p - 78 = 0. Let d be 24/(-16)*20/(-3). What is the highest common diviso... | {
"pile_set_name": "DM Mathematics"
} |
4796, 34035, 32820, 31037, 28572, 25311?
21140
What is the next term in 47, -1024, -3667, -8668, -16813, -28888?
-45679
What comes next: 539301, 1078869, 1618437?
2158005
What is next in -4770, -4659, -4472, -4215, -3894, -3515?
-3084
What is the next term in -31165, -62279, -93393, -124507, -155621?
-186735
What is ne... | {
"pile_set_name": "DM Mathematics"
} |
976, 1468, 1960, 2452?
492*q - 8
What is the o'th term of -72225, -72268, -72339, -72438, -72565, -72720?
-14*o**2 - o - 72210
What is the b'th term of -332, -297, -288, -305, -348, -417?
-13*b**2 + 74*b - 393
What is the v'th term of -194, -373, -536, -677, -790?
v**3 + 2*v**2 - 192*v - 5
What is the w'th term of 23,... | {
"pile_set_name": "DM Mathematics"
} |
) = -7*l(d) + 3*z(d). Let r be m(3). Calculate a(r).
4
Let v be 3 + (-130)/16 - 2/(-16). Let m(z) = 17*z - 5. Determine m(v).
-90
Let b(k) = -k**2 + k + 10. Let t(q) = -q + 3. Let y(d) = -b(d) + 6*t(d). Give y(7).
8
Let d(c) = -c**2 + 4*c. Let h(a) = -2*a**2 + 9*a. Let s(k) = -9*d(k) + 4*h(k). Let t be 1/(6/1 + 11/(-2)... | {
"pile_set_name": "DM Mathematics"
} |
earest to n in -3, y, -1/5?
-1/5
Suppose 8*y = -59 + 75. Which is the nearest to y? (a) 4 (b) 3/4 (c) 1 (d) -3/5
c
Let t = 2253 + -2254. What is the nearest to 2 in t, -0.1, -3.1?
-0.1
Let i = -27.1 - -4.1. Let q = 22 + i. What is the nearest to 4/5 in q, 0.5, 1/6?
0.5
Let t = 2.9 - 0.9. Let u = -64 - -59. Which is... | {
"pile_set_name": "DM Mathematics"
} |
prob of sequence odd when three letters picked without replacement from dqgqgofggfodf?
1/429
Four letters picked without replacement from dcndodgdglgdg. Give prob of sequence ddoc.
1/858
Three letters picked without replacement from ssdsdrdsvssv. Give prob of sequence vds.
3/110
Two letters picked without replacement f... | {
"pile_set_name": "DM Mathematics"
} |
actors of q?
2, 79
Let v be (-2)/(-8) - 14/(-8). Suppose 0 = 5*a, k + 2*a - 4 = -v. What are the prime factors of -5 - -3 - (-29 - k)?
29
Let y(x) = -x**2 - 10*x - 11. Suppose 24 = j - 3*j. Let a be y(j). Let r = 51 + a. List the prime factors of r.
2
Let l = 135 - 27. Let g = l - 30. What are the prime factors of g?
2... | {
"pile_set_name": "DM Mathematics"
} |
(b) -3 (c) -0.5
c
Let u = -4.91 - 0.09. Let h(c) = -9*c + 2. Let j(x) = 4*x - 1. Let i(y) = 6*h(y) + 13*j(y). Let n be i(-3). What is the nearest to -0.08 in u, n, -1?
-1
Let w(k) = -5*k - k**3 - 8 - k**3 - 5*k**2 + 3*k**3 + 0*k. Let s be w(6). Which is the closest to 0? (a) s (b) 4 (c) 0.2
c
Let m = -320 - -320.1... | {
"pile_set_name": "DM Mathematics"
} |
prob of picking 1 t, 2 o, and 1 m.
6/65
Two letters picked without replacement from {b: 4, m: 4, y: 1, k: 1, p: 2, i: 2}. What is prob of picking 2 p?
1/91
What is prob of picking 2 b and 2 v when four letters picked without replacement from {b: 4, v: 2}?
2/5
What is prob of picking 1 q and 1 c when two letters picked ... | {
"pile_set_name": "DM Mathematics"
} |
- 10220850*u = 0.
-1, 0, 18, 113565
Solve 4*n**2 + 80444024*n + 404452562332036 = 0.
-10055503
Solve -2*k**3 + 17723868*k**2 + 17723882*k - 106343220 = 0.
-3, 2, 8861935
Factor -2*u**3/5 + 133718*u**2/5 + 1016690*u + 48299634/5.
-2*(u - 66897)*(u + 19)**2/5
Factor g**4 + 1711*g**3 - 124533*g**2 + 243929*g - 121108.
(g ... | {
"pile_set_name": "DM Mathematics"
} |
0. Let q(z) = t*o(z) + 3*a(z). What is y in q(y) = 0?
-1, 0
Let y(h) be the third derivative of 0*h - 1/5*h**5 - 1/105*h**7 - 1/3*h**3 + 0 - 1/3*h**4 - 1/15*h**6 - 2*h**2. Find q such that y(q) = 0.
-1
Let m = 763 + -761. Factor -15/2*v**4 + 0 - 21/2*v**m + 27/2*v**3 + 3*v + 3/2*v**5.
3*v*(v - 2)*(v - 1)**3/2
Let s be ... | {
"pile_set_name": "DM Mathematics"
} |
*m**2 - 37*m
What is the u'th term of 32480, 32487, 32564, 32747, 33072, 33575, 34292, 35259?
6*u**3 - u**2 - 32*u + 32507
What is the d'th term of -11711, -19545, -40807, -82211, -150471, -252301, -394415?
-1119*d**3 - d - 10591
What is the d'th term of -1784, -1680, -1518, -1298, -1020, -684?
29*d**2 + 17*d - 1830
Wh... | {
"pile_set_name": "DM Mathematics"
} |
.3?
7093.83453
What is 181 take away -674803947?
674804128
Total of 10 and -3802215.174.
-3802205.174
Subtract 0.2 from -28415155.
-28415155.2
Add together 15253279 and 0.3.
15253279.3
What is -653167 minus 2.513?
-653169.513
What is -7611 plus -121596?
-129207
0.36 - -70493490
70493490.36
What is -125373 - -0.206?
-12... | {
"pile_set_name": "DM Mathematics"
} |
77 = 5*o - 38. Suppose -o + 5 = -3*u. Solve 4*d - 3*v = -u, -2*d + v - 2 = -0 for d.
0
Let t(w) = -w**2 + 6*w. Let y be t(3). Let n = y - 4. Solve -3*j - 35 = n*a - a, 5*j + a + 30 = 0 for j.
-5
Let b(z) = 3*z + 1. Let j be ((-6)/(-4))/((-1)/(-4)). Let g be b(j). Solve -13 = -3*m - 2*i, -i = 4*m - 0*m - g for m.
5
Let... | {
"pile_set_name": "DM Mathematics"
} |
.
-h**2 - 6*h - 1
Let z(c) = -6*c - 10. Let j(h) = -2*h - 3. Let t be (2 - 66/4) + 83/166. Give t*j(a) + 4*z(a).
4*a + 2
Suppose -50*w + 46*w + 12 = 0. Suppose 5*l + w - 33 = 0. Let y(o) = 8*o**2 - 6*o - 6. Let t(x) = -7*x**2 + 5*x + 5. Determine l*y(v) + 7*t(v).
-v**2 - v - 1
Let w = 395 - 351. Let x(z) = -z - 1. Let ... | {
"pile_set_name": "DM Mathematics"
} |
3662
Calculate -5 divided by 36443031.
-5/36443031
-103236903 divided by -17
6072759
What is -74099055 divided by -307?
241365
Calculate -88 divided by 6669223.
-8/606293
-2 divided by -113774955
2/113774955
Calculate 361 divided by -31674.
-361/31674
Calculate -76155040 divided by 40.
-1903876
What is 431924 divided b... | {
"pile_set_name": "DM Mathematics"
} |
= 5*s - 3*l + 242. Let q = 49 - s. Is q composite?
False
Suppose -6751 = m + 3*o, -3*o = -7*o + 20. Let d be 6/21 + m/14. Let i = -272 - d. Is i composite?
False
Let z(l) be the third derivative of l**6/60 + l**5/60 - l**4/6 - l**3/6 - 2*l**2. Is z(4) a prime number?
True
Is (4 - -334) + (1 - 2) a composite number?
Fa... | {
"pile_set_name": "DM Mathematics"
} |
.
-1
Solve -182*j - 224 + 770 = 0 for j.
3
Solve -181*i - 3529 = 91 for i.
-20
Solve 0 = -89*f + 11305 - 8635 for f.
30
Solve 384 = 316*f + 1016 for f.
-2
Solve 33*q + 42*q = 41*q - 102 for q.
-3
Solve -62*w + 298 + 101 = 27 for w.
6
Solve 8833*j - 352 = 8855*j for j.
-16
Solve -2745 = -589*p - 17711 - 5060 for p.
-34
... | {
"pile_set_name": "DM Mathematics"
} |
*y + 84 = 0, 3*d - y + 242 = -5*y. Let r be d/(-12) + 6/(-4). Let a = 3 + 1. Solve r*v - 4*m = -8*m, 20 = a*m for v.
-4
Let c(t) = -t**3 - 2*t**2 - 5*t - 5. Let m be c(-2). Suppose 0 = 3*g - l + m*l - 1, -3*g - 2*l = -5. Solve 5*f + 3*w = -g, 5*f + 3 = 2*w + 5 for f.
0
Let i be 3 - (160/140 + (-1)/7). Solve u = -3*u - ... | {
"pile_set_name": "DM Mathematics"
} |
. Suppose 0 = -z*v + 2 + 2. What is the biggest value in -0.5, v, 5?
5
Let s(n) = -n**3 + 5*n**2 + 7*n - 1. Let h be s(6). Let w(d) = -3*d**2 + 4*d + 5. Let v be w(-1). Which is the biggest value? (a) h (b) v (c) 4
a
Let n = 0.87 - 0.37. What is the second smallest value in n, 3, 1/4?
n
Suppose 3*j = 2*j + 3. Suppos... | {
"pile_set_name": "DM Mathematics"
} |
et b be i(5). Let r = b + -20. Solve -3*q + 3 = -4*s - 2, -2*q - 4*s = -r for q.
3
Let f = -32 - -29. Let o = 18 + f. Solve 3*p + 2*p - o = -3*h, 5*h = 5*p - 15 for h.
0
Suppose 13*v = -2*g + 8*v - 16, -6 = g + 2*v. Solve 0 = -3*s + k - 5*k, -2*k = -g*s for s.
0
Let w = -329 + 333. Solve 3*h + 12 = 3*b, 0 = 5*b + w*h -... | {
"pile_set_name": "DM Mathematics"
} |
b) -1/9 (c) 1
b
Let x be (-1 - 15/(-21))/(6/(-30)). What is the nearest to -1/4 in -0.3, 1, x?
-0.3
Let m = 51 + -51.1. Which is the nearest to m? (a) -5 (b) 14 (c) 5
a
Let k = 2 + -3. Let r = k - -1.1. Let j = -25.7 + 26. Which is the closest to 0.1? (a) j (b) 0 (c) r
c
Let q be 2/4 + 2/(-4). Suppose 6*g - 5*i ... | {
"pile_set_name": "DM Mathematics"
} |
vided by 8.
5
What is the remainder when 2703 is divided by 71?
5
Calculate the remainder when 389 is divided by 190.
9
Calculate the remainder when 329 is divided by 66.
65
What is the remainder when 851 is divided by 41?
31
What is the remainder when 2296 is divided by 36?
28
What is the remainder when 1909 is divide... | {
"pile_set_name": "DM Mathematics"
} |
112438.
2, 17, 3307
What are the prime factors of 408684?
2, 3, 34057
What are the prime factors of 2315216?
2, 144701
List the prime factors of 1051685.
5, 29, 7253
What are the prime factors of 200920?
2, 5, 5023
List the prime factors of 208891.
208891
List the prime factors of 57767.
61, 947
List the prime factors... | {
"pile_set_name": "DM Mathematics"
} |
1)/25)?
False
Suppose 0 = -2*o + 66 - 6. Is o a multiple of 5?
True
Let c(z) = 22*z**2 - 2*z - 1. Does 23 divide c(-1)?
True
Let z(v) = -v**3 - v**2 + 9. Let w = -4 - -4. Let a be z(w). Let x = 19 - a. Does 10 divide x?
True
Let x = 43 + -23. Let c = -2 + 2. Suppose c = -t - t + x. Is 5 a factor of t?
True
Suppose -6 =... | {
"pile_set_name": "DM Mathematics"
} |
j + 46 = 3*c, -611697*j - 4 = -611698*j + 4*c for j.
-4
Solve -56*s = 2*v + 104, -14 = -0*v - 7*v - 4*s - 8 + 14 for v.
4
Solve 4*l + 3*g - 80 = 0, -104*l - 112*l + 4*g + 35 = -213*l for l.
17
Solve 4*k + k + 3*w = -63, 3921*w = -4*k + 3931*w - 100 for k.
-15
Solve 4*y - s = -44, 2*y + 4*s - 2468 + 2508 = 0 for y.
-12
... | {
"pile_set_name": "DM Mathematics"
} |
hat is 368878 to the power of 1/2, to the nearest integer?
607
What is the third root of 285521 to the nearest integer?
66
What is 200179 to the power of 1/8, to the nearest integer?
5
What is the ninth root of 13223754 to the nearest integer?
6
What is 2371876 to the power of 1/8, to the nearest integer?
6
What is the... | {
"pile_set_name": "DM Mathematics"
} |
675
Multiply 22 and -128.
-2816
Work out 45 * 0.3.
13.5
Work out 128 * -0.2.
-25.6
-0.037 times -0.63
0.02331
What is 11 times 134?
1474
-16*-1.3
20.8
Calculate 0*-0.171.
0
What is 18 times 119?
2142
5*-7214
-36070
What is the product of -5 and 0.412?
-2.06
Work out -0.3 * 35.08.
-10.524
Calculate 58*-5.
-290
What is t... | {
"pile_set_name": "DM Mathematics"
} |
r**3/3 + 60*r**2. Let v be -16 + 2*12/(-8). Let l = v - -21. Calculate x(l).
8
Let s(p) = 32*p + 9 + 31*p**2 - 3524*p**3 - 3508*p**3 + 7031*p**3. Give s(32).
9
Let l = 16 - 13. Let i(a) = 2*a - 5*a - 7 + 8 + 4*a**2 - a**l. Suppose -12 = -151*d + 147*d. Calculate i(d).
1
Let s = 10077 - 10082. Let g(w) = -8*w - 54. Det... | {
"pile_set_name": "DM Mathematics"
} |
t z(a) = 15*a**2. What is w(z(f))?
675*f**4 - 40
Let t(f) = 2*f + f - 5*f. Let d(i) = -i - 7. Let k(n) = -n - 6. Let m(b) = -6*d(b) + 7*k(b). What is m(t(h))?
2*h
Let v(d) = 3*d**2. Let p(t) be the second derivative of 2*t + 0*t**3 + 0*t**2 + 0 - 1/6*t**4. Determine v(p(r)).
12*r**4
Let o(p) = 5*p**2. Let n(b) be the t... | {
"pile_set_name": "DM Mathematics"
} |
?
2*w**2 + 2
Suppose 38 = 16*y + 118. Let q(u) = 4*u + 3. Let l(i) = -11*i - 3*i - 4 + 10*i. Calculate y*l(w) - 6*q(w).
-4*w + 2
Let s(y) = 10*y**3 - 77*y**2 - 2*y + 10. Let g(l) = -22*l**3 + 154*l**2 + 5*l - 22. Determine -4*g(o) - 9*s(o).
-2*o**3 + 77*o**2 - 2*o - 2
Let n(l) = -4*l**3 + 160*l**2 + 107*l - 13. Let o(w... | {
"pile_set_name": "DM Mathematics"
} |
t v = 0.1 + 0. Suppose 5*l - 2*f + 449 = -6*f, 85 = -l + 4*f. Let r = l + 181/2. Which is the nearest to v? (a) -3 (b) 0 (c) r
b
Let w = 118.248 + -0.248. Let m = 123 - w. What is the nearest to 21 in m, 0.3, 2?
m
Let w = -873 - -875. What is the closest to -0.1 in w, 0.4, -0.1, 0?
-0.1
Suppose -93 = 4*q - 7*q + 3*o... | {
"pile_set_name": "DM Mathematics"
} |
y(7). Let m(u) = 13*u + 11*u - f*u. Let l(s) = 15*s. Give m(l(t)).
30*t
Let k(t) be the first derivative of t**3/3 + 26. Let j(g) = 17*g. What is k(j(m))?
289*m**2
Let s(g) = 15346*g**2 + 3*g. Let w(o) = -o**2. What is s(w(z))?
15346*z**4 - 3*z**2
Let k(p) be the second derivative of -3*p**3/2 - 84*p. Let j(a) be the s... | {
"pile_set_name": "DM Mathematics"
} |
2) + 2*n - 4*n + 3*n + 3*n + 0*n + 0*n.
-2*n
Expand (-k + k + k**4 + (-k**3 + 4 - 4)*(4*k + k - 2*k) + 2*k**2 - 2*k**4 - 2*k**2)*(-1 - k + 1).
4*k**5
Expand -2*q**2 + 5*q**2 - 2*q**2 + (-1 + 1 + q)*(2*q + 2*q - 10*q).
-5*q**2
Expand (8 - 59 - 19)*((1 - 1 - 2)*(2*y - 3 + 3) + y + 0*y + 0*y + 4 - 4 + 2*y + (2*y + 4*y - 4... | {
"pile_set_name": "DM Mathematics"
} |
5*d
Let b(x) = 8*x - 6. Let z(c) = c + 1. Let v be z(5). Let t be (-4)/(-62)*-1 - (-142760)/(-20584). Let j(l) = 9*l - 5 - 2 + 0. What is t*b(a) + v*j(a)?
-2*a
Let r(u) = -2*u**2 + 4*u + 11. Let x = -231 + 233. Let w(h) = -2*h - 2*h**x + 3*h**2 - 6 + 6*h**2 - 6*h**2. Calculate 4*r(a) + 7*w(a).
-a**2 + 2*a + 2
Let h(b) ... | {
"pile_set_name": "DM Mathematics"
} |
i**2. Let w(h) = -3*h. Determine w(f(n)).
-111*n**2
Let v(b) = 5*b**2. Let l(n) = -9*n**2. Determine v(l(k)).
405*k**4
Suppose -4*t = -5 - 3. Let z(m) = 3*m - m - t*m + 3*m. Let y(n) = -2*n**2 + 3*n**2 - 3*n**2. What is y(z(s))?
-18*s**2
Let i(q) = 2*q. Let m(g) = g**2 - 3*g + 3. Let f(d) = -2*d + d + 7 - d**2 + 3*d**2... | {
"pile_set_name": "DM Mathematics"
} |
+ s*d**2 + f*d**3 and give f.
0
Express (-1165 - 403 - 464 - 839)*(2*d + 5 - 5)*(-3*d**2 + 8*d**2 - d**2) in the form z*d**3 + b + n*d**2 + j*d and give z.
-22968
Express (-t**2 - 8 - 3*t + 8)*(-2*t - 2*t - 8*t) - 1421 + 1421 - 140*t**3 as p + x*t + s*t**3 + l*t**2 and give x.
0
Rearrange 344*y**2 - 97*y**2 - 25*y + 3... | {
"pile_set_name": "DM Mathematics"
} |
s + 50 = s - 5*l, l + 22 = 3*s. Let b(u) be the first derivative of -u**4/4 + 7*u**3/3 - 3*u**2 - 2*u + 74. Give b(s).
-2
Let p(q) = -q**2 + 2*q + 6. Let w be (-14)/(-133) + 262/38. Calculate p(w).
-29
Let g(d) = -d**2 - 8*d + 10. Suppose -q = -o - 12, -12 = -o - 0*o - 5*q. Give g(o).
10
Suppose -4*b = -2*a - 34, -4*b ... | {
"pile_set_name": "DM Mathematics"
} |
ase 11?
3
What is 27 (base 9) in base 5?
100
Convert -19 (base 16) to base 2.
-11001
What is -10 (base 2) in base 9?
-2
What is 11 (base 6) in base 16?
7
Convert -11 (base 4) to base 12.
-5
131 (base 4) to base 10
29
What is 8 (base 9) in base 6?
12
Convert -23 (base 7) to base 5.
-32
Convert 37 (base 8) to base 16.
1f... | {
"pile_set_name": "DM Mathematics"
} |
s x a composite number?
False
Suppose -4*b - 3*w = -189 + 79, 4 = -2*w. Let i = b - -353. Is i a prime number?
False
Let i = -95 + 90. Let y(t) = -144*t - 1. Is y(i) a composite number?
False
Let m(o) = -o**3 + o**2 - o + 17305. Is m(0) composite?
True
Let w(l) = -l**2 - 12*l - 2. Let r be (-5 - 0) + (-44)/22. Is w(r) ... | {
"pile_set_name": "DM Mathematics"
} |
or s?
o
Suppose -u - 110 = 4*u + 2*k, -2*u + 2*k = 58. Do u and -24 have different values?
False
Suppose 14 = -2*c - 2*c - 3*u, c + u = -4. Is c equal to -2?
True
Let a = 94.87 - 95. Which is smaller: -1 or a?
-1
Let s = -0.3 + 0.4. Let g be 3/4*6*(-7)/(-63). Are g and s nonequal?
True
Suppose j = -1, 2*j - j + 23 = -2... | {
"pile_set_name": "DM Mathematics"
} |
31511
List the prime factors of 8072206.
2, 4036103
What are the prime factors of 2293892?
2, 573473
What are the prime factors of 107625?
3, 5, 7, 41
What are the prime factors of 203085?
3, 5, 4513
What are the prime factors of 202177?
181, 1117
What are the prime factors of 15246188?
2, 3811547
List the prime factor... | {
"pile_set_name": "DM Mathematics"
} |
is the n'th term of -9429298, -18858599, -28287904, -37717213, -47146526?
-2*n**2 - 9429295*n - 1
What is the t'th term of -2316588, -9266333, -20849242, -37065315, -57914552, -83396953?
-2316582*t**2 + t - 7
What is the w'th term of -65201, -130088, -194643, -258860, -322733, -386256, -449423, -512228?
w**3 + 160*w**... | {
"pile_set_name": "DM Mathematics"
} |
-9. Calculate the smallest common multiple of 5 and n.
10
Suppose -2*k + 5*h = k - 59, 0 = -2*k + 5*h + 41. Calculate the lowest common multiple of k and 8.
72
Let u(l) = l**2 - 11*l + 15. Let g be u(10). Let r be (-404)/5 + (-1)/g. Find the common denominator of 34/3 and 1/(-2) + r/42.
21
Let z = -381071/4770 + 13836... | {
"pile_set_name": "DM Mathematics"
} |
2*p + 2*k = -16*p + 2, -10 = 5*p + 5*k. Suppose -4*t + 5*t = -p*x + 15, 3*t = -4*x + 25. Solve -8*q = -t*q + 20 for q.
-4
Let t = 5000 + -4869. Solve 0 = 3*f - t + 107 for f.
8
Let b(u) = -67*u - 1452. Let r be b(-22). Solve -r*q = -63 - 25 for q.
4
Let i(p) = -p. Let c be i(-2). Suppose c*g = g + 3. Let u(w) = w**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 1. Let k(r) = -4*r**2 + 9*r - 5. What is j*k(b) - 5*m(b)?
b**2 + 9*b
Let d(g) = -6*g**3 + 23*g**2 - 17*g - 8. Let r(o) = -2*o**3 + 8*o**2 - 6*o - 3. Suppose 5*k - 25 - 12 = q, 5*q + 89 = k. What is q*r(i) + 6*d(i)?
-2*i**3 + 2*i**2 + 3
Let f(t) = -2*t**2 + 4. Let m(y) = y**3 + 11*y**2 - 3523*y - 21. Give 5*f(l) +... | {
"pile_set_name": "DM Mathematics"
} |
5041 equal?
False
Is -42661 < -42660?
True
Which is smaller: -14.9893 or -1?
-14.9893
Do -15784/11 and -1434 have the same value?
False
Do 50 and 4530/89 have the same value?
False
Is 65525 greater than or equal to 65518?
True
Is -1083 at most -954?
True
Is -1396 at most -89?
True
Which is greater: 55 or 2935/54?
55
Is... | {
"pile_set_name": "DM Mathematics"
} |
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