text stringlengths 270 8.19k | meta dict |
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2, 27
Let c(r) be the first derivative of -r**3 - 46 + 3/5*r**5 + 0*r**2 - 1/2*r**6 + 0*r + 3/4*r**4. Determine u, given that c(u) = 0.
-1, 0, 1
Let r = -2181 - -297. Let o be r/(-156) - 1 - 10. Let -6/13*f**5 - 16/13*f - 24/13*f**2 + 12/13*f**3 + o*f**4 + 0 = 0. What is f?
-1, -2/3, 0, 2
Suppose -38 - 1/9*r**2 + 13*r... | {
"pile_set_name": "DM Mathematics"
} |
ive of 7*l**5/20 + 7*l**3/6 - 19*l. Find the second derivative of t(q) wrt q.
42*q
Let l(d) be the third derivative of -3*d**8/112 + d**4/24 + 2*d**2. What is the second derivative of l(s) wrt s?
-180*s**3
Let a(x) be the third derivative of -2*x**2 + 0*x**3 + 0*x - 1/60*x**5 + 0 + 0*x**6 - 1/210*x**7 + 0*x**4. What is... | {
"pile_set_name": "DM Mathematics"
} |
ivisor of w and 9.
9
Suppose 3*w + 16 = 5*w + 4*q, -20 = -3*w - 4*q. Suppose -5*f = w*d + 17, d - 4*d = -5*f - 31. What is the greatest common factor of 6 and d?
2
Suppose -g + 96 - 33 = 0. What is the greatest common divisor of g and 7?
7
Let z be 3*(160/(-6))/(-2). Suppose -2*c = 2*s - s - z, 2*s = 0. What is the hig... | {
"pile_set_name": "DM Mathematics"
} |
b/(b*b**7))/b*b)))**(-44) assuming b is positive.
b**(-3212)
Simplify ((z*z**10)**(-19))**16 assuming z is positive.
z**(-3344)
Simplify (a**(-2)*a*((a/(a*a/(a/((((a**(-1/14)/a)/a*a*a)/a)/a))))/a)/a)/(a*a**(-3/2)/a)**21 assuming a is positive.
a**(214/7)
Simplify n**(-3)*n*n**(8/11)/n*n*n**(6/13)*(n/(n/(n/n**14)))/n as... | {
"pile_set_name": "DM Mathematics"
} |
565?
867.435
-5 - -0.043
-4.957
-17 + -13935
-13952
-2.9 + -1.393
-4.293
What is -4.802 plus 719?
714.198
Sum 0.1 and 132.
132.1
Total of 2.07 and -0.12887.
1.94113
Add together 3.12721 and 0.7.
3.82721
What is the difference between 14 and 6639?
6625
Total of 2 and 45488.
45490
269+-10
259
Work out 1 - 0.100889.
0.899... | {
"pile_set_name": "DM Mathematics"
} |
25?
-282.6675
Multiply -0.0355 and -18581.
659.6255
Calculate 3863*-76.18.
-294283.34
Work out 9 * 960671.
8646039
What is the product of 1521563 and 0.192?
292140.096
119993*0.2
23998.6
Work out 0.6 * 3470181.09.
2082108.654
What is the product of 3540.1257 and 2?
7080.2514
Calculate -93.1*3688.
-343352.8
-102.8954*-0... | {
"pile_set_name": "DM Mathematics"
} |
.
-2*b
Collect the terms in -8*m**3 + m**3 - 4*m**3.
-11*m**3
Collect the terms in -b**2 - 14*b**2 - b**2 + 18*b**2 + 0*b**2.
2*b**2
Collect the terms in -28 - 11*q**3 + 29 + 73*q**3.
62*q**3 + 1
Collect the terms in 7*h + 0*h - 3*h + 9*h.
13*h
Collect the terms in -12*f**2 + 5*f**2 - 15*f**2.
-22*f**2
Collect the term... | {
"pile_set_name": "DM Mathematics"
} |
(-1 - 5 - 12) - 3 + 4 - 2 + 32 + 1 - 7) in the form c*s + m + n*s**2 and give n.
-126
Express -3888*z + 258 - 576 + 318 in the form m*z + c and give m.
-3888
Express -2*d + 6*d + 4916*d**2 - 2*d - 3*d as n*d**2 + z + x*d and give x.
-1
Rearrange 0*x**4 + 41*x**2 - 15*x**2 - 22*x**2 - 11*x**4 - 39*x**3 to i*x**3 + g*x +... | {
"pile_set_name": "DM Mathematics"
} |
the highest common divisor of s and 369.
9
Suppose -8*q - 9 = -25. Suppose 4*g - 88 = 5*w + 40, 140 = 4*g - q*w. What is the highest common factor of g and 703?
37
Let w = -7889 + 7913. Let p be (0 - 1)/(-1) + -7. Let o be (3 + -33)*p/5. Calculate the highest common divisor of w and o.
12
Suppose -136*i + 132*i = 2*d -... | {
"pile_set_name": "DM Mathematics"
} |
when 28 is divided by d(b)?
8
Let c(m) = -m**2 - 9*m + 20. Calculate the remainder when 110 is divided by c(-8).
26
Suppose -j - 3*j = 4*b - 4, -5*b - j + 25 = 0. Calculate the remainder when 15 is divided by b.
3
Let j(d) = d**3 - 7*d**2 - 4*d + 5. Let o be j(7). Let k = -7 - o. What is the remainder when 63 is divid... | {
"pile_set_name": "DM Mathematics"
} |
e terms in 31501*n + 1 - 31504*n - 1.
-3*n
Collect the terms in 6 - 17 + 11 - 8*r.
-8*r
Collect the terms in 16*d**2 - 5*d**3 + 14*d**2 + 4*d**3 - 30*d**2.
-d**3
Collect the terms in -4 + 4 - 25*v + 35*v.
10*v
Collect the terms in -1676*x + 2*x**3 + 1676*x.
2*x**3
Collect the terms in 22*r**2 + 45*r + 4*r**2 - 45*r.
26... | {
"pile_set_name": "DM Mathematics"
} |
- 16 for j.
-1
Solve 0 = 57*c - 56*c + 4*f + 13, 10 = -4*c + 5*f for c.
-5
Solve -10*b - 23 = -7*b + 4*t, -5*b + t = 0 for b.
-1
Solve 0*n + 26 = -3*r + 4*n, 0 = 3*n - 15 for r.
-2
Solve n + 2 = 0, 3*j = 2*n - 7 - 1 for j.
-4
Solve b - 5*z - 30 = -11, 4*b - 3*z - 25 = 0 for b.
4
Solve 2*t = 4*z + 7*t + 6, 0 = 2*t + 4 f... | {
"pile_set_name": "DM Mathematics"
} |
+ 1)/2
Suppose 298*u**5 - 25326*u**4 + 398086*u**3 - 716706*u**2 + 338968*u + 4680 = 0. Calculate u.
-2/149, 1, 18, 65
What is j in -4*j**3/3 + 2000*j**2 - 95132*j/3 + 77168 = 0?
3, 13, 1484
Find o such that -540*o**4 + 4476*o**3 + 3856*o**2 - 3664*o + 576 = 0.
-4/3, 2/9, 2/5, 9
Suppose 3*i**2 + 2202*i + 10935 = 0. Wh... | {
"pile_set_name": "DM Mathematics"
} |
- 5*g**3 - 4*g**j wrt g.
-18*g**2
Let y(i) be the second derivative of -301*i**6/30 + 155*i**4/6 - 213*i. Find the third derivative of y(l) wrt l.
-7224*l
Let p(z) = -33*z**3 - 6*z**2 - 103*z + 5. Let k(a) = -a**3 - 2*a**2 + 1. Let t(l) = -3*k(l) + p(l). Find the second derivative of t(j) wrt j.
-180*j
Let l = 77 + -7... | {
"pile_set_name": "DM Mathematics"
} |
o (b) -44 (c) 1/4 (d) 0.2
c
Let k = 11/123 + -115/369. What is the closest to k in -2/7, -2/3, -0.2?
-0.2
Let t = -9117 + 9120. Let n = 6 + -8. What is the nearest to n in 2/19, -2, 2/3, t?
-2
Let v be 1/(-3) - 1/3. Let t be ((-108)/(-126))/((-105)/(-98)). Let g = 198 + -1780/9. Which is the nearest to t? (a) v (b... | {
"pile_set_name": "DM Mathematics"
} |
the second derivative of 4418*q**4 + 40796*q wrt q?
53016*q**2
What is the first derivative of -5414*i**3 + 40593?
-16242*i**2
What is the derivative of -5*f**3*t + 13464*f**3 - 2083*f**2*t**2 wrt t?
-5*f**3 - 4166*f**2*t
What is the third derivative of 7729*r*x**5 - 2*r*x**2 + 171*r*x + 7*r - 3*x**2 wrt x?
463740*r*x*... | {
"pile_set_name": "DM Mathematics"
} |
3*w - c + 5*c - 32. What are the prime factors of w?
2, 3
Let l = 248 + -236. List the prime factors of l.
2, 3
Let l(o) = -2*o + 12. Let y be l(6). Suppose y = 3*b + 3, -3*a + b = -163. Suppose -d - a = -2*d. What are the prime factors of d?
2, 3
Let c(l) be the second derivative of -l**4/12 + 5*l**3/2 - 9*l**2/2 - 1... | {
"pile_set_name": "DM Mathematics"
} |
t is the hundreds digit of 5120493?
4
What is the millions digit of 15213514?
5
What is the units digit of 1297495?
5
What is the hundred thousands digit of 2956917?
9
What is the hundreds digit of 463568?
5
What is the thousands digit of 4800260?
0
What is the ten millions digit of 20138328?
2
What is the hundred thou... | {
"pile_set_name": "DM Mathematics"
} |
number?
False
Let r(n) = n**2 - 9*n - 42. Let t be r(14). Is ((-1)/(-3))/(t/3970428) a prime number?
False
Let w(k) = 117*k**3 + 9*k**2 - 4*k - 10. Is w(6) prime?
False
Let f = -816912 + 1145825. Is f a composite number?
True
Let g be 2/13 + 2/((-546)/(-38451)). Suppose -3*s + 158 = -52. Let v = s + g. Is v a composit... | {
"pile_set_name": "DM Mathematics"
} |
Calculate the lowest common multiple of b and 10.
110
Suppose 3*r - 5 = 4. Calculate the common denominator of r - 47/15 - 2 and 39/10.
30
Suppose -5*a + y + 11 = 0, -4*a - 4*y + 5 = -23. Suppose -29 = -13*x + 10. What is the smallest common multiple of a and x?
3
Let d = -978 - 512. Let m = d - -23793/16. Find the co... | {
"pile_set_name": "DM Mathematics"
} |
/(-8) - 826/(-8) a multiple of 8?
False
Suppose n = 3*l - 2975, -17*n = 4*l - 12*n - 3973. Suppose 4*u - 4*q - l = 0, -u + 245 = -0*q + 2*q. Does 13 divide u?
True
Let y be (-18)/6 - 2/2. Is ((-6930)/(-27))/(y/(-6)) a multiple of 7?
True
Is 105/(240/16) + 1023 a multiple of 2?
True
Let v(q) = 7*q**2 - 29*q - 118. Is v(... | {
"pile_set_name": "DM Mathematics"
} |
Is 350511647 composite?
False
Is 21674697193 a prime number?
False
Is 26002062433 a composite number?
False
Is 157883860639 composite?
True
Is 564343123 a composite number?
True
Is 13975828709 composite?
False
Is 4226752427 composite?
False
Is 8701962233 prime?
False
Is 226175868587 a composite number?
False
Is 2937964... | {
"pile_set_name": "DM Mathematics"
} |
taaja.
1/52
Two letters picked without replacement from {j: 7, d: 6}. What is prob of sequence dd?
5/26
What is prob of sequence yyyl when four letters picked without replacement from yyyyyyyyylylyyyyyyyy?
8/95
Three letters picked without replacement from gzqks. What is prob of sequence gkz?
1/60
What is prob of seque... | {
"pile_set_name": "DM Mathematics"
} |
3*q**2.
q**2
Collect the terms in -5*f**2 - 2*f + 5*f - 8*f.
-5*f**2 - 5*f
Collect the terms in 15394 - 15394 - 15*z + 17*z.
2*z
Collect the terms in 44 - 3*u + 5*u - 36.
2*u + 8
Collect the terms in -2*q + 5*q + 20*q**2 - 13*q**2.
7*q**2 + 3*q
Collect the terms in 15*l - 27 - 11*l - 9.
4*l - 36
Collect the terms in -1... | {
"pile_set_name": "DM Mathematics"
} |
7*b - 6. Let n be r(-8). Suppose n*p + p - 5*o = a, -4*p = 2*o - 48. What is the tens digit of p?
1
Suppose -i = 4*i - 25. Suppose -v - v = j - i, -v + 25 = 3*j. What is the units digit of j?
9
Let o(d) be the first derivative of -3/2*d**2 - 2*d + 1. What is the units digit of o(-6)?
6
Let h = 18 - 9. Suppose 20 = h*b... | {
"pile_set_name": "DM Mathematics"
} |
composite?
False
Is 31363502101 a composite number?
False
Is 3336931811 composite?
False
Is 12402174467 prime?
True
Is 71443057667 prime?
False
Is 44828875211 a prime number?
False
Is 232645151 a composite number?
False
Is 4005988643 a prime number?
False
Is 17622329629 a prime number?
True
Is 294372293 a prime number... | {
"pile_set_name": "DM Mathematics"
} |
+ 3397. Solve 10*l - p = 40*l for l.
-2
Suppose 2*d - 2*f - 3*f = -9, 0 = -3*d - 2*f + 15. Suppose z + 5*u + 0*u = -10, 0 = -3*z + u + 2. Solve -d*r - 6 = -z for r.
-2
Suppose -47*a + 162 = 7*a. Solve -11*f - 8 = -a*f for f.
-1
Suppose -23*u + 2 = -w - 24*u, -3*w + 10 = -u. Suppose -5*y + 5*h = 25, -2*h - h = -4*y - 15... | {
"pile_set_name": "DM Mathematics"
} |
+ 6*s = 0.
-24, 0
Suppose 75*m**3 + 2760*m**2 - 3393*m + 1026 = 0. Calculate m.
-38, 3/5
Factor 4*v**2 - 1258*v - 630.
2*(v - 315)*(2*v + 1)
Factor -5*w**2 + 2420*w + 2425.
-5*(w - 485)*(w + 1)
Factor -3*b**3 - 57*b**2.
-3*b**2*(b + 19)
Determine x so that 4*x**3 + 328*x**2 - 1740*x = 0.
-87, 0, 5
Factor 2*h**2/17 + 3... | {
"pile_set_name": "DM Mathematics"
} |
-o*s. Suppose -3 - s = -2*q + 4*m, 3*m = q - 21. What are the prime factors of q?
3, 5
What are the prime factors of 76 - ((-1 - -4)/1 - 2)?
3, 5
Suppose -3*d = 4 - 1. Let j(x) = -10*x**3 + x**2 + 2*x + 1. List the prime factors of j(d).
2, 5
Suppose 5*b + 15 = 0, 2*v - 16 = -3*v - 3*b. Suppose -n - 4*c - 20 = -v*n, 0... | {
"pile_set_name": "DM Mathematics"
} |
0 - 1810.2. Sort -89, f, -1 in descending order.
f, -1, -89
Let k = -51/10 + 49/10. Let u = 34 - 34.06. Sort u, 0.4, k in ascending order.
k, u, 0.4
Let h = -32994 + 32992. Put -21, 2, -3, -1, h in descending order.
2, -1, h, -3, -21
Let u = -0.469 - 3.531. Let c = 24 - 34. Let d = -23 - c. Sort u, -2/3, d in decreasin... | {
"pile_set_name": "DM Mathematics"
} |
-262
Rearrange -1819*f + 2393*f - 2357*f to l + q*f and give q.
-1783
Express (-88*w - 245*w - 235*w)*(-671 + 12*w + 671) as h*w**2 + t*w + p and give h.
-6816
Rearrange (-5 + 5 + 6)*(-14*v - 5*v + 5*v)*(21*v**2 - 2*v**2 + v**2) to the form s*v + r + g*v**3 + b*v**2 and give g.
-1680
Express (451 - 228 - 210)*(35*h + ... | {
"pile_set_name": "DM Mathematics"
} |
-a**4*u - 149*a**4 - 5364*a**3*u + 2*a**2*u - 2*a*u + 8*a + 5*u - 52216 wrt a.
-24*a*u - 3576*a - 32184*u
Differentiate -2*b**3*l**3 + 36940*b*l**3 - 2*l**3 - 13*l**2 + 666452 with respect to b.
-6*b**2*l**3 + 36940*l**3
Differentiate -2*w**2*z + 573*w**2 + 2638*w + 7582582*z**3 - z**2 with respect to z.
-2*w**2 + 227... | {
"pile_set_name": "DM Mathematics"
} |
8*o for o.
5
Let m(y) = y**3 - 16*y**2 + 12*y + 56. Let f be m(15). Solve -h - f*h + 36 = 0 for h.
3
Let n be (-4)/10 - 4/(-10). Let h(s) = -s**2 - 1 + 10 - 2 + s**3 + 5. Let q be h(n). Solve 5*w - 8 - q = 0 for w.
4
Suppose -89 = 10*f - 309. Solve -f*a + 20*a = 0 for a.
0
Suppose 4*t - 16 = -5*n, -5*n = t - 3 - 1. Sup... | {
"pile_set_name": "DM Mathematics"
} |
f a microgram?
75
What is 62/7 of a week in hours?
1488
What is 908861.7 millimeters in nanometers?
908861700000
How many millimeters are there in eleven eighths of a meter?
1375
How many minutes are there in three sixteenths of a week?
1890
What is twenty-seven quarters of a meter in centimeters?
675
How many millisec... | {
"pile_set_name": "DM Mathematics"
} |
w**2 - w - 1. Let q(h) = m(h) + 4*z(h). What is q(-1)?
2
Let l be (48/4)/4 - 5. Let r(o) = -2*o**3 - 2*o**2 + 2*o + 1. Give r(l).
5
Let d(r) be the first derivative of 2*r**3/3 + r**2/2 - 4*r - 1. Let m be d(-3). Let f = 8 - m. Let h(q) = q. Give h(f).
-3
Suppose 3*r - 4*r + 5 = 0. Let t(b) = -16*b + r*b + 12*b + 11. W... | {
"pile_set_name": "DM Mathematics"
} |
3, m: 2, s: 5}. What is prob of picking 1 m, 2 s, and 1 q?
4/33
What is prob of picking 1 i and 1 o when two letters picked without replacement from {o: 3, x: 5, p: 3, j: 1, i: 3}?
3/35
What is prob of picking 1 z and 1 x when two letters picked without replacement from {g: 1, z: 3, x: 2, p: 1}?
2/7
What is prob of pic... | {
"pile_set_name": "DM Mathematics"
} |
c**8/6720 - c**7/60 + c**5 + c**3/3 + 10*c**2 + 5*c. Let w(b) be the third derivative of n(b). Factor w(j).
-3*j*(j + 28)
Let v(g) be the third derivative of g**8/210 - 17*g**7/525 + 17*g**5/150 - g**4/15 + 2*g**2 + 139. Find r, given that v(r) = 0.
-1, 0, 1/4, 1, 4
Let z = 68973/40 - 8621/5. Factor -15/8*n - z*n**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
lculate prob of sequence nvd when three letters picked without replacement from {d: 1, v: 2, c: 3, n: 7, e: 3, x: 2}.
7/2448
Three letters picked without replacement from {e: 4, j: 5, i: 4, q: 3}. What is prob of sequence qje?
1/56
Four letters picked without replacement from eiivvveivvi. What is prob of sequence vevi?... | {
"pile_set_name": "DM Mathematics"
} |
) - (4 + 2*sqrt(891))**2) + 4)*1.
-3578 - 144*sqrt(11)
Simplify (((sqrt(288) - (-4 + 1*sqrt(288))) + (1*2*sqrt(288) - sqrt(288)))*-6)**2.
3456*sqrt(2) + 10944
Simplify (1 + (sqrt(209)*-2*4)/sqrt(11)*-2 + -4)**2.
-96*sqrt(19) + 4873
Simplify (-1 + (((sqrt(65) - (sqrt(65) + -1*sqrt(65) + sqrt(65)))/sqrt(5) - sqrt(13)) + ... | {
"pile_set_name": "DM Mathematics"
} |
+ -6)*-1 prime?
True
Let g = 1264512 - 630455. Is g prime?
False
Suppose 11*f - 1915933 = -3*m, -3*m = -42*f + 39*f - 1915863. Is m composite?
True
Is 10/60 - ((-866570)/60 - -5) composite?
True
Suppose -5*i = -w + 15, -5*i + 45 = 3*w - 0*i. Let p be (-180)/((9/w)/(2/(-5))). Is 16/p - 7213/(-15) a prime number?
False
... | {
"pile_set_name": "DM Mathematics"
} |
*2)*(-2 - 1 - 1)*(1 + 0 + 1).
112*c**2
Expand (-l - l + 3*l)*(-5 + 5 - 4*l) + (0*l**2 - 3*l**2 + l**2)*(2 + 4 - 5) + 4*l**2 - l**2 - 2*l**2.
-5*l**2
Expand (9 + 9 + 8*f**2 - 16)*(2*f - 3*f + 0*f).
-8*f**3 - 2*f
Expand (0 + 3 - 4)*(-4*f**2 - 12*f + 9*f + 2*f + 3*f**5).
-3*f**5 + 4*f**2 + f
Expand ((t - 2*t + 3*t)*(8 + 2... | {
"pile_set_name": "DM Mathematics"
} |
)*-1*u. Suppose 1 = y*s - 5. What is the units digit of s?
3
Suppose -4*j + 521 = 193. Let u = -59 + j. What is the tens digit of u?
2
What is the hundreds digit of 2/5 - (1 - 2696/10)?
2
What is the units digit of (4 + 0)*(1 + (-6)/(-4))?
0
Suppose 0 = k + 2*k - 21. Let i = 18 - k. Suppose -2*h + 4*d = -10, h + 2*d + ... | {
"pile_set_name": "DM Mathematics"
} |
tters picked without replacement from {j: 2, x: 2, f: 8, s: 6}. What is prob of picking 1 x, 1 f, and 2 j?
4/765
Four letters picked without replacement from ootqotqjuzqoott. Give prob of picking 2 q, 1 t, and 1 o.
4/91
What is prob of picking 1 v and 3 u when four letters picked without replacement from dddddvvtvrrdvu... | {
"pile_set_name": "DM Mathematics"
} |
*g**2 + 1. Let u be 6*(1 - (-2)/(-3)). Let t(w) = 3 - 3 - 13*w**u + 0. What is t(s(r))?
-13*r**2
Let i(d) be the first derivative of -212 + 216 - d**3 - 107. Let p(y) = 60*y. Calculate p(i(a)).
-180*a**2
Let w(j) = 42901*j + 23. Let c(a) = 26*a**2. Determine w(c(v)).
1115426*v**2 + 23
Let d(f) = -1464*f + 1464*f + 4*f*... | {
"pile_set_name": "DM Mathematics"
} |
e closest to 0? (a) -0.3 (b) 0.03 (c) -211329
b
What is the closest to 311 in 14, 0.034, -0.5?
14
Which is the nearest to 4.3? (a) 19 (b) -332/23 (c) -5 (d) 3/8 (e) 0.1
d
Which is the nearest to -1? (a) -0.03 (b) 3/4 (c) 4/9 (d) -6 (e) 1
a
What is the closest to -0.1 in 18, 21/4, -1935?
21/4
What is the cl... | {
"pile_set_name": "DM Mathematics"
} |
5))/(f**(2/21)/f))/(f/(f*f*f**(-3/7))*(f**(6/11)*f)/f)) assuming f is positive.
f**(-62903/2310)
Simplify q**(-5)/q*q*q**(2/3)*q*q**(-3/5)*q**(1/8)*q*q*(q*q*q/q**(-2))**(-26)/(q**(1/2))**(19/3) assuming q is positive.
q**(-5399/40)
Simplify (z**(4/3)*z*z**(-3)*z)**(12/13)*((z/(z*z/z**0)*z)/(z/z**7))/(z*z*z**0)**33 assu... | {
"pile_set_name": "DM Mathematics"
} |
*v + 7*v**i. Let a(p) = 2*p**2 + 4*p. Let b(n) = 3*n**2 + 5*n. Let q(z) = 5*a(z) - 4*b(z). What is q(l(m))?
-98*m**4
Let t(n) = 2*n + 1. Let b be t(1). Let r be ((-40)/24)/(15/(-18)). Let w(s) = -2*s - s + b*s - r*s. Let p(d) = 3*d**2. What is p(w(f))?
12*f**2
Let m(s) = 5880*s**2. Let q(r) = 3*r. What is q(m(k))?
1764... | {
"pile_set_name": "DM Mathematics"
} |
7
What are the prime factors of 29896?
2, 37, 101
What are the prime factors of 52400?
2, 5, 131
What are the prime factors of 4420?
2, 5, 13, 17
List the prime factors of 22966.
2, 11483
What are the prime factors of 345?
3, 5, 23
List the prime factors of 3507.
3, 7, 167
What are the prime factors of 953?
953
What ar... | {
"pile_set_name": "DM Mathematics"
} |
- -140. Let n = -0.64 - -0.94. Let f = 7 - 6. Which is the closest to y? (a) f (b) n (c) 2
c
Suppose 3*l = -h + 181, 47*l - 43*l = -5*h + 234. Which is the nearest to -0.1? (a) 3 (b) -2 (c) l
b
Let h = -480.8 - -481. Which is the nearest to -2.3? (a) 0 (b) -5 (c) h
a
Suppose -5*z - 1360 = 3*y - 1323, 3*y - 27 ... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*h**3 + h**3)*(-3 - 2*h + 0*h + 0).
8*h**5 + 12*h**4
Expand (-v**3 + 2*v - 2*v + (3*v**3 - 4*v**3 + 0*v**3)*(-3 + 3 + 2) - v**3 - v**3 - 3*v**3)*(-2*v**2 - 2 + 2).
16*v**5
Expand (-2 + 5 - 4)*(b - 1 + 1) + 5*b - 5*b - 3*b.
-4*b
Expand ((2 - 3 + 2)*(-5 + 3 + 1) + (-1 + 1 - 1)*(4 - 3 + 1))*(-v**3 + 11*v**3 - 5*v**3).... | {
"pile_set_name": "DM Mathematics"
} |
two dps.
-1.73
Round -586997 to the nearest one hundred thousand.
-600000
What is 2.6390515 rounded to one decimal place?
2.6
Round 0.000373632 to four dps.
0.0004
Round -2544.925 to the nearest one hundred.
-2500
What is 9860.74 rounded to the nearest one hundred?
9900
What is 391159250 rounded to the nearest 1000000?... | {
"pile_set_name": "DM Mathematics"
} |
772*q + 5768
Let y(k) = k**2. Let r(f) be the first derivative of -3*f**2 - 3*f + 7 + 4 + 3 + f**2. Give r(y(q)).
-4*q**2 - 3
Let u(j) = -5*j**2 + 2. Let c(y) = -6*y**2 + 3. Let x(n) = 2*c(n) - 3*u(n). Let b(s) = -2*s**2. Determine b(x(f)).
-18*f**4
Let h(c) = -5*c. Let l(v) be the second derivative of 61*v**3/6 - 142*... | {
"pile_set_name": "DM Mathematics"
} |
lue? (a) -29 (b) -1.1 (c) -2/13 (d) -5
c
What is the smallest value in -2/7, 5/2, 0.4?
-2/7
What is the second biggest value in -2/13, 2, -0.32, 2/3?
2/3
Which is the fourth biggest value? (a) -2/7 (b) -3 (c) 2/7 (d) 0.3
b
Which is the biggest value? (a) 2 (b) 1/5 (c) 1 (d) -32.3
a
Which is the fourth bigge... | {
"pile_set_name": "DM Mathematics"
} |
2*j + 7*j**3)*(3707 + 3823 + 879 + 1931 - 1702).
60466*j**3
Expand (0*r**2 + r**2 - 2*r**2)*(0 + 0 + 2) - 3*r**2 - 3*r**2 + 7*r**2 + (3*r**2 - 4*r**2 + 2*r**2)*(-4 - 2 + 3) + (-r - 2 + 2)*(-2 + 2 - r) - 43*r**2 - 7 + 7.
-46*r**2
Expand -94165155 + 209*j**2 - 2*j + 94165155 + (-2*j + 2*j + 2*j**2)*(2 - 3 - 2).
203*j**2... | {
"pile_set_name": "DM Mathematics"
} |
(-7).
-6
Let j(f) = -2*f**2 + 172*f + 1709. Determine j(-9).
-1
Let r(w) = 508*w + 27. Determine r(0).
27
Let f(t) = -t**3 - 48*t**2 - 213*t + 6. What is f(-5)?
-4
Let u(o) = -o**3 - 9*o**2 + 19*o + 12. What is u(-11)?
45
Let k(c) = 19*c - 656. Give k(43).
161
Let q(u) = 25*u**2 + 291*u + 27. What is q(-11)?
-149
Let s... | {
"pile_set_name": "DM Mathematics"
} |
1
What is the n'th term of 8944, 8943, 8942, 8941, 8940, 8939?
-n + 8945
What is the u'th term of -11, -24, -37, -50, -63?
-13*u + 2
What is the k'th term of -137, -148, -173, -218, -289, -392, -533, -718?
-k**3 - k**2 - k - 134
What is the v'th term of 15, 37, 63, 93?
2*v**2 + 16*v - 3
What is the n'th term of 177, 21... | {
"pile_set_name": "DM Mathematics"
} |
he hundreds digit of q(-20)?
9
Let o be 5/((5 - 1) + -5). Let c = 723 - o. What is the units digit of c?
8
Suppose 4*y - 10*t = 180002, 55 - 52 = 3*t. What is the tens digit of y?
0
Let n(g) = 252*g**2 + 152*g + 20. What is the units digit of n(-4)?
4
Suppose -2*a = -5*d + 1962, 4*d + 2*a - 681 = 903. Let w = d + 284. ... | {
"pile_set_name": "DM Mathematics"
} |
e (-2)/((-7)/(-2) - 4). Let n(g) = -6*g + 8. Let d(v) = v - 1. Let m(b) = 3*d(b) + n(b). Calculate m(j).
-7
Let n(h) = 4*h**3 - h**2 - 3*h - 3. Suppose d - 8 = 4*y, y + 4*d = 3*y - 10. Let z(r) = 3*r**3 - r**2 - 2*r - 3. Let s(t) = y*z(t) + 2*n(t). Calculate s(3).
-15
Let r(v) be the first derivative of -v**4/4 + 4*v**... | {
"pile_set_name": "DM Mathematics"
} |
f 2984 and 106678?
746
Calculate the highest common divisor of 18260 and 2596.
44
What is the highest common divisor of 2376 and 314226?
594
Calculate the greatest common factor of 2136 and 19402.
178
Calculate the greatest common divisor of 460 and 15339620.
460
Calculate the highest common divisor of 8023 and 1917.
7... | {
"pile_set_name": "DM Mathematics"
} |
hat is prob of picking 3 j?
1/140
Two letters picked without replacement from {a: 2, x: 17}. What is prob of picking 1 a and 1 x?
34/171
Two letters picked without replacement from xwwxxjxwx. What is prob of picking 1 w and 1 x?
5/12
Four letters picked without replacement from anuuusuuaununuaunaua. Give prob of pickin... | {
"pile_set_name": "DM Mathematics"
} |
4. Let z(u) be the first derivative of -43/10*u**4 + k + 0*u + 56/25*u**5 + 34/15*u**3 - 2/5*u**2. Solve z(b) = 0 for b.
0, 1/4, 2/7, 1
Suppose -5*v - 2 = -12. Factor -5*t + 4*t**v - 7*t - 3*t**3 - 16*t**2.
-3*t*(t + 2)**2
Let s(g) be the first derivative of -g**4/26 - 4*g**3/39 + 7*g**2/13 - 8*g/13 - 16. Let s(u) = 0... | {
"pile_set_name": "DM Mathematics"
} |
st integer?
287
What is the third root of 1537885448 to the nearest integer?
1154
What is the third root of 1606390383 to the nearest integer?
1171
What is the cube root of 50858782 to the nearest integer?
371
What is 226576718 to the power of 1/7, to the nearest integer?
16
What is the third root of 1632671927 to the ... | {
"pile_set_name": "DM Mathematics"
} |
and give y.
9
Rearrange (2*l - 3*l + 4*l - 3)*(24 + 2*l + 31 - 5*l) to the form x*l + o + d*l**2 and give o.
-165
Express (3*y**2 + y**2 - 2*y**2)*(179*y + 208*y - 7*y) + (-3 - 2 + 2*y + 3)*(6*y**2 - 4*y**2 - 4*y**2) as l + s*y + k*y**2 + g*y**3 and give k.
4
Express (c - 3*c + 4*c)*(-161 + 2*c + 161)*(-7 - 7*c + 7) as... | {
"pile_set_name": "DM Mathematics"
} |
d 11:06 AM?
56
What is 373 minutes before 8:39 PM?
2:26 PM
What is 641 minutes before 8:30 AM?
9:49 PM
What is 432 minutes after 11:19 AM?
6:31 PM
What is 253 minutes after 9:20 AM?
1:33 PM
What is 463 minutes after 6:53 AM?
2:36 PM
How many minutes are there between 3:44 AM and 2:14 PM?
630
What is 526 minutes after 2... | {
"pile_set_name": "DM Mathematics"
} |
= 45*w. Calculate u*j(l) + 4*h(l).
40*l
Let b(x) = 23*x - 576. Let r(a) = -64*a + 1707. What is -17*b(h) - 6*r(h)?
-7*h - 450
Let w(j) = -35*j**3 + 5*j**2 + 12*j + 4. Let v(d) = -d**3 - d**2 - 2*d - 1. Determine 6*v(z) + w(z).
-41*z**3 - z**2 - 2
Let g(s) = 3*s + 3. Let w(q) = -35*q - 46. Give 5*g(y) + w(y).
-20*y - 3... | {
"pile_set_name": "DM Mathematics"
} |
1 (b) 5881 (c) 6/7 (d) 0 (e) -0.5
a
Which is the fourth biggest value? (a) 3/19 (b) -2/9 (c) 60 (d) -0.2 (e) 1/4
d
What is the third biggest value in -159.3, -0.01, 1, 2/7, 1/7, -2?
1/7
Which is the fifth biggest value? (a) 1 (b) -1/6 (c) 1.97 (d) 38 (e) 3
b
Which is the biggest value? (a) -0.04 (b) 2/2... | {
"pile_set_name": "DM Mathematics"
} |
3
Let r(d) = 3*d + 25. Let b = -52 - -56. Suppose 0 = -2*j + 4*y - 18 - b, -j - 17 = -5*y. Let p be r(j). Solve -8 = -4*g + w + 5, -p*g = -5*w - 17 for g.
3
Let t be 50/8 + (-282)/(-376). Let c be (-2)/4 - 6/(-12). Suppose c = -0*n - t*n + 28. Solve p - n = 2*r, -4*p - p + 11 = -r for p.
2
Let k(c) = 20*c - 319. Let u(... | {
"pile_set_name": "DM Mathematics"
} |
ihrhrhhrr?
2/495
Two letters picked without replacement from qllllqllllll. Give prob of sequence lq.
5/33
What is prob of sequence hdrr when four letters picked without replacement from drdhdrdhrdrr?
5/297
Calculate prob of sequence wrr when three letters picked without replacement from rwrwrrwrrwww.
3/22
What is prob ... | {
"pile_set_name": "DM Mathematics"
} |
(l - 5 - -3)*60. What is the greatest common divisor of d and 12?
12
Let t = -29 - -92. Calculate the highest common divisor of t and 21.
21
Let s be (13 + -2)/(1/5). Calculate the greatest common factor of 5 and s.
5
Suppose 3*u = -0*u + 75. Suppose -5*g = -4*c - 4 - u, -5*g - 5*c + 20 = 0. What is the highest common... | {
"pile_set_name": "DM Mathematics"
} |
housand?
1000000
What is -60673.55063 rounded to the nearest one hundred?
-60700
Round -236.650868 to two decimal places.
-236.65
Round 32952.3312 to the nearest 10.
32950
Round -0.264295186 to three dps.
-0.264
What is 1702.2005 rounded to the nearest ten?
1700
Round 35.133638 to two dps.
35.13
What is -318338355.8 ro... | {
"pile_set_name": "DM Mathematics"
} |
, w: 1}?
1/5940
Calculate prob of sequence zvt when three letters picked without replacement from {z: 1, d: 2, v: 1, a: 3, t: 1, c: 3}.
1/990
Calculate prob of sequence cmcm when four letters picked without replacement from {i: 1, m: 1, q: 1, c: 2}.
0
What is prob of sequence zs when two letters picked without replacem... | {
"pile_set_name": "DM Mathematics"
} |
ixth smallest value? (a) -10 (b) -18 (c) 0.03 (d) -1 (e) -0.1 (f) -5/3
c
What is the second smallest value in 5/46, -12/11, -3.4, -1/4, -0.5, -4, 1?
-3.4
Which is the smallest value? (a) 0.2 (b) -77/15 (c) -0.34 (d) 22 (e) 4 (f) 1 (g) 5
b
Which is the smallest value? (a) 18 (b) -1 (c) 3.1 (d) -836 (e)... | {
"pile_set_name": "DM Mathematics"
} |
12*(-18)/(-52) - -2. Suppose 3 - 9 = -2*g. Suppose -3*i + g = -4*s - 4*i, 0 = 2*s - i + 3. Which is greater: s or p?
p
Let i = 463 - 124. Let f = -345.9 + i. Is f not equal to 2?
True
Suppose -2*d + 767 = z, 3*d - 1 = -10. Does z = 772?
False
Let c(u) = -u**2 + 5*u + 3. Let k be c(6). Let h = 62888/39 - 4850/3. Is k le... | {
"pile_set_name": "DM Mathematics"
} |
- 7*f**2/2 - 8. Find the second derivative of d(r) wrt r.
-40*r**3
Suppose i + 3*i - 10 = -2*a, -a = i - 3. What is the third derivative of -r**i + 14*r - 10*r**6 - 3*r - 11*r wrt r?
-1200*r**3
Let m(w) be the third derivative of -w**6/12 - 7*w**3/2 + w**2 - 6*w. What is the first derivative of m(h) wrt h?
-30*h**2
Wh... | {
"pile_set_name": "DM Mathematics"
} |
, 60033, 60057, 60081?
24*c + 59937
What is the c'th term of -83, -751, -2569, -6113, -11959, -20683, -32861?
-96*c**3 + c**2 + c + 11
What is the d'th term of -136915, -136916, -136917, -136918, -136919?
-d - 136914
What is the y'th term of 102515, 410059, 922631, 1640231, 2562859, 3690515, 5023199?
102514*y**2 + 2*y ... | {
"pile_set_name": "DM Mathematics"
} |
-3*r + 122. What is the remainder when h is divided by (-18)/12*-10*1?
14
Let b(s) = 10*s**2 - 729*s + 1441. Calculate the remainder when (-2 - (-1 + 0))*-76 is divided by b(2).
7
Let c(f) = -108*f**2 + 30350*f - 542. Suppose -2*g = -g - 5. What is the remainder when 35/g*(12 + -1) is divided by c(281)?
17
Let b = -103... | {
"pile_set_name": "DM Mathematics"
} |
2).
12*sqrt(3)
Simplify sqrt(65)/(sqrt(10)/sqrt(2)) + sqrt(13) + (sqrt(208) + -1 + sqrt(208) - sqrt(208)).
-1 + 6*sqrt(13)
Simplify (sqrt(117)*-1*6)/(sqrt(63)/(1*sqrt(7))).
-6*sqrt(13)
Simplify -6*(sqrt(64)/sqrt(2) + -5).
-24*sqrt(2) + 30
Simplify (2*(1 + sqrt(5)) - (2 + sqrt(80)))**2.
20
Simplify -2 + sqrt(13) + sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
86 = 0. Let r(j) = j**2 - 19*j + 14. Let x be r(t). Let d be (-4)/6*(-6)/(-4). Sort d, -32, x in decreasing order.
d, x, -32
Let b = -2/3549 - -10655/14196. Sort 2, b, -2/15, 1/8, -5/3 in increasing order.
-5/3, -2/15, 1/8, b, 2
Let q = 65 + -61. Let d = -0.39 + 0.46. Let k = 0.59 - 0.19. Put 3, d, k, q in decreasing o... | {
"pile_set_name": "DM Mathematics"
} |
7 divide 1603?
True
Is 12 a factor of 1073?
False
Is 13 a factor of 553?
False
Does 13 divide 975?
True
Is 24 a factor of 720?
True
Is 46 a factor of 10565?
False
Is 36 a factor of 432?
True
Does 103 divide 12772?
True
Does 38 divide 407?
False
Is 5 a factor of 213?
False
Does 20 divide 25687?
False
Is 638 a multiple o... | {
"pile_set_name": "DM Mathematics"
} |
to base 2
1001101110010100
Convert 2453345 (base 7) to base 4.
1031011130
What is 3104232 (base 5) in base 15?
eeb2
12212210112120 (base 3) to base 16
2fb170
Convert -696b0 (base 15) to base 2.
-1010001111100011000
What is -1012110020012 (base 3) in base 15?
-c93eb
What is 11012020210 (base 3) in base 4?
110022000
101... | {
"pile_set_name": "DM Mathematics"
} |
- s = 0. What is the units digit of p?
6
Let k = 1642 - -123. What is the hundreds digit of k?
7
Suppose 126 + 1044 = 6*v. What is the units digit of v + 1/3*18/(-3)?
3
Let a(s) = -3*s**3 + 15*s**2 + 36*s + 22. What is the thousands digit of a(-7)?
1
Let u(o) = 8*o - 9. Let y(k) = -k + 5. Let v be y(-6). Let l = -8 + v... | {
"pile_set_name": "DM Mathematics"
} |
*f. Let a(l) = -5*n(l) + w(l). What is the remainder when a(b) is divided by 11?
10
Suppose -8 = 7*i - 8*i. What is the remainder when 46 is divided by i?
6
Let j = -309 - -340. Calculate the remainder when 76 is divided by j.
14
Let k(l) = -l**3 - 10*l**2 - 12*l - 88. What is the remainder when 157 is divided by k(-10... | {
"pile_set_name": "DM Mathematics"
} |
r?
False
Is 218656093 a composite number?
False
Is 9734160461 composite?
True
Is 32667553 a composite number?
True
Is 3346563323 a composite number?
True
Is 5240840641 a composite number?
True
Is 58584102743 a prime number?
False
Is 5218882973 prime?
True
Is 7604004781 a composite number?
False
Is 1019722719869 prime?
... | {
"pile_set_name": "DM Mathematics"
} |
/9 - 304*i.
-2*i*(i + 171)*(3*i + 2)**3/9
Factor m**3/3 + 35*m**2/3 - 284*m/3 + 140.
(m - 5)*(m - 2)*(m + 42)/3
Solve -8*z**5/9 - 158*z**4/3 - 634*z**3/3 - 1766*z**2/9 - 110*z/3 = 0.
-55, -3, -1, -1/4, 0
Solve x**4/10 + 92*x**3/5 - 954*x**2/5 + 3088*x/5 - 3104/5 = 0.
-194, 2, 4
Let 4*t**2 + 404*t + 1920 = 0. Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
, 9
Sort 1, -5, 28, -3.
-5, -3, 1, 28
Put 2, 873, 4, 5 in decreasing order.
873, 5, 4, 2
Sort -1939, -1, -2 in descending order.
-1, -2, -1939
Sort -0.232, 2, -5, 3 in descending order.
3, 2, -0.232, -5
Sort 3, -4, -6, 77, 4.
-6, -4, 3, 4, 77
Put 2, 23, 0.4, 4 in increasing order.
0.4, 2, 4, 23
Sort -50, -4, 12.
-50, -... | {
"pile_set_name": "DM Mathematics"
} |
**2 - l - 15. Let c be x(-13). Let n be 4 + 0 - (-1 - c). Let w(g) = -g + 1. Let f be w(-1). Solve k = 4*h + 8, 3 = 5*h - f*h - n*k for h.
-3
Let g(a) be the second derivative of -a**5/20 + 13*a**4/12 - 13*a**3/6 + 9*a**2 + 4*a. Let c be g(12). Solve -5*z + 4*b - c = 0, 0*b + 1 = -b for z.
-2
Suppose 3 = 2*h + 3*y - 2*... | {
"pile_set_name": "DM Mathematics"
} |
137
What is the h'th term of 460, 1830, 4110, 7300, 11400?
455*h**2 + 5*h
What is the t'th term of 52451, 52450, 52449, 52448, 52447, 52446?
-t + 52452
What is the u'th term of -8579, -17170, -25769, -34376?
-4*u**2 - 8579*u + 4
What is the w'th term of 160167, 160168, 160169, 160170, 160171?
w + 160166
What is the x't... | {
"pile_set_name": "DM Mathematics"
} |
+ 280. Does 14 divide n?
False
Let z be 224/36 - (-2)/(-9). Is 15 a factor of (-119)/(-3) - 4/z?
False
Let z(f) = -8*f**3 - 2*f**2 - 2*f - 1. Suppose 2*c = r - 10, -3*r + 5*c = -16 - 11. Suppose 2*i - 3*j + 0 = -2, 2*j = 4*i + r. Is z(i) a multiple of 7?
True
Let q(p) = -p**2 + 20*p. Does 9 divide q(18)?
True
Let d(z) ... | {
"pile_set_name": "DM Mathematics"
} |
-2 + 3 - 0/1. Suppose -j = 2*r + 3. Let l = 4 + r. What is the units digit of l?
2
What is the tens digit of ((-76)/(-7))/(22/77)?
3
Let j be 5 + (0 + 1 - 1). Let i(h) = -h**2 + 7*h - 7. Let r be i(j). Suppose v - r = -0. What is the units digit of v?
3
Let d(m) = m + 6. Let l be d(8). Suppose x = -0 + l. What is the ... | {
"pile_set_name": "DM Mathematics"
} |
-209 - -208. Let o be j(q). Sort o, -5, 1 in decreasing order.
1, o, -5
Let y = 34 - 33. Let c = -0.5 + 0.3. Let t = 873/8 + -109. Put y, t, c in descending order.
y, t, c
Let l = -1174 + 1163. Put l, -0.5, -19 in decreasing order.
-0.5, l, -19
Suppose -4*s + 3*s = -5. Let g = 10 - 8. Suppose g*x = 2*k, k + 9 - 1 = 5*... | {
"pile_set_name": "DM Mathematics"
} |
, 0 = -w - f - 1 for w.
-5
Let f(z) = -z**2 - 10*z - 8. Let w be f(-6). Let a = 4342 + -4339. Solve 4*d - w = j, -a*j - 18 = -d - d for d.
3
Let d = -372 - -375. Solve y + 0*y + 5*f = 0, -d*y = -3*f for y.
0
Let k be (-1)/((-6 + 4)/2). Suppose -4*h - 20 = -2*v, -4*v - 3*h = 3 + k. Solve -4 = -v*y, -2*y + 25 = -5*z + 3*... | {
"pile_set_name": "DM Mathematics"
} |
rest 1000000?
-8000000
Let j = -59.5307 + 59.5. Let w = -105 + 104.97. Let r = j - w. What is r rounded to four decimal places?
-0.0007
Let a = 7.58 + -597.58. Let x = a + 546.3. Round x to zero decimal places.
-44
Let r = -7897 - -7896.9999845884. Round r to 7 decimal places.
-0.0000154
Let i = 3751436 + -3751457.6000... | {
"pile_set_name": "DM Mathematics"
} |
*5/12 + y**3/3 - y**2. Let x = 8579 - 8574. Determine n(x).
2
Let d(i) be the third derivative of 5*i**4/12 + 155*i**3/6 - 4036*i**2. What is d(-15)?
5
Let j(o) be the second derivative of o**4/12 + 7*o**3/6 + 5*o**2 + 16*o. Let y be j(-6). Suppose 20 = y*b - 4. Let g(z) = z**3 - 7*z**2 + 8*z - 6. What is g(b)?
6
Let w... | {
"pile_set_name": "DM Mathematics"
} |
*sqrt(192) - sqrt(192))) + sqrt(192) - sqrt(192))*1))**2 - (sqrt(192) + -1 + 2)*-2)*-5*5.
-691250 - 400*sqrt(3)
Simplify (2 + ((1*sqrt(425)*-4*-2)**2 + (0 + -5 + sqrt(425)*1)**2)*4)*3.
-600*sqrt(17) + 331806
Simplify (2*(-1*sqrt(156) - sqrt(156) - sqrt(156)))/sqrt(12) + 2*(sqrt(117)*6)**2 - (1 + sqrt(325) + -1 + (-3 + ... | {
"pile_set_name": "DM Mathematics"
} |
-3*c - 12 = -v*c. Let i = 1 - c. What are the prime factors of i?
5
Let f(n) = -n. Let x be (0/1)/2 + 1. Let q be (12/14)/(x/(-7)). What are the prime factors of f(q)?
2, 3
Let f(h) = h - 2. Let l(p) = p**2 - 4*p + 6. Let m be l(4). Let x be f(m). Let u = 11 + x. List the prime factors of u.
3, 5
Let a be 2/(-7) + 65/... | {
"pile_set_name": "DM Mathematics"
} |
j*j**(-1/3))**(-5/8) assuming j is positive.
j**(62971/240)
Simplify d**(-8/3)*d*d**(-5)*((d*d/d**(2/37))/d)/((d**38/d)/d) assuming d is positive.
d**(-4631/111)
Simplify (s*s**5*s*(s*(s/(s**(2/13)*s)*s)/s*s*s)/s*s)**(1/10)*(s**(-4)*(s*s**(-5))/s)**(-4/25) assuming s is positive.
s**(788/325)
Simplify ((a**(1/5)*a*a**(... | {
"pile_set_name": "DM Mathematics"
} |
- 10. Suppose 115*x - 224 = 100*x + 76. Calculate the remainder when 57/(g/3 - -3) is divided by x.
17
Let u(j) = -118 - 45*j + 30*j**2 + 21*j**2 - 52*j**2. What is the remainder when u(-21) is divided by 15?
11
Let q be (-128)/(-28) - 3/(-7). Suppose -q = -3*c + 10. Let g(p) = -65*p + 6. What is the remainder when g(... | {
"pile_set_name": "DM Mathematics"
} |
divisor of 150 and 130?
10
What is the greatest common divisor of 100 and 325?
25
What is the highest common factor of 390 and 60?
30
What is the highest common factor of 36 and 3636?
36
What is the highest common divisor of 9228 and 12?
12
Calculate the highest common divisor of 51 and 1649.
17
Calculate the highest c... | {
"pile_set_name": "DM Mathematics"
} |
8/4. Suppose -3*h - t*q = h - 706, 348 = 2*h - q. Suppose 3*m + 0*m + 147 = 4*b, -5*b - 5*m = -h. Does 7 divide b?
False
Let i = 31 - 33. Let p be 11*((-18)/12 - 23/i). Suppose -7*n + p + 324 = 0. Does 31 divide n?
True
Let x(p) = 3*p**3 + 5*p**2 - 3*p - 8. Let w be x(2). Is 414/12*80/w a multiple of 17?
False
Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
t(95)/sqrt(45) - sqrt(19)))).
-7*sqrt(19)/3
Simplify (sqrt(63)/(sqrt(12)/sqrt(4)))/(-2*sqrt(363)) + -5 + (-5*(sqrt(7) + sqrt(14)/sqrt(2)) + (-2 + sqrt(63))**2)*3 + 5.
-1453*sqrt(7)/22 + 201
Simplify (sqrt(2156)*2 + sqrt(44) + sqrt(704)*-1 + sqrt(44))/(sqrt(12)/(-1*sqrt(3)) - sqrt(252)/sqrt(7)).
-3*sqrt(11)
Simplify 3 +... | {
"pile_set_name": "DM Mathematics"
} |
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