text stringlengths 270 8.19k | meta dict |
|---|---|
.
2, 3, 5, 13
What are the prime factors of 70472?
2, 23, 383
List the prime factors of 5481.
3, 7, 29
What are the prime factors of 29512?
2, 7, 17, 31
What are the prime factors of 19946?
2, 9973
List the prime factors of 2469.
3, 823
List the prime factors of 117.
3, 13
What are the prime factors of 16122?
2, 3, 268... | {
"pile_set_name": "DM Mathematics"
} |
307. Let y be (-25)/m + 13/6. Factor -1/10*b**y + 0*b + 0.
-b**2/10
Let h(c) be the first derivative of c**5/12 + 5*c**4/6 - 25*c**3/6 + 98*c**2 - 87. Let o(x) be the second derivative of h(x). Solve o(r) = 0.
-5, 1
Let t(o) = 209*o**3 - o - 1. Let r be t(-1). Let d be r/(-133) - (-1)/7. Let 6/7 + d*f**3 - 10/7*f - 2/7... | {
"pile_set_name": "DM Mathematics"
} |
rest to n? (a) 0.5 (b) 0 (c) s
c
Let v = -908 - -912.9. What is the nearest to -1/2 in -1, v, -1/5, 1?
-1/5
Let i = 1385 - 12451/9. Which is the closest to -0.3? (a) -2/9 (b) -3 (c) 5 (d) i
a
Let s(z) = -3*z - 86. Let i be s(-29). What is the closest to 1 in -0.3, -0.5, i?
i
Let i = -1 + 0.5. Let s = 47.88 + -0.... | {
"pile_set_name": "DM Mathematics"
} |
-3.174. Let h = -3 - i. Let z = 1.1 - h. Which is smaller: 1/2 or z?
1/2
Let d be 3/6*-3 - -1. Which is smaller: 2 or d?
d
Let m = -0.4 + 0.3. Let s = m + 0. Let w = s + 0.2. Which is bigger: 2/9 or w?
2/9
Let s = 119 - 118. Let c = -7 + 1. Let m(y) = -y**2 - 5*y + 6. Let x be m(c). Is x >= s?
False
Let n = -69 - -68. ... | {
"pile_set_name": "DM Mathematics"
} |
0.2?
0.3
Let p = -44 + 44. Which is the nearest to p? (a) -0.1 (b) 3 (c) 0.5
a
Let p = 15.52 - 16. Let z = 0.08 + p. Which is the nearest to -3/2? (a) z (b) 0 (c) -0.3
a
Let p = 0.4 + -1.4. Suppose 0 = -6*j + 3*j. Let n = 15 - 10. Which is the closest to p? (a) n (b) 2 (c) j
c
Let i = -405 - -404.8. Let t = 1.... | {
"pile_set_name": "DM Mathematics"
} |
8
Put together -2969 and 3.
-2966
-26336 - 14
-26350
Add together -0.00118 and 0.194.
0.19282
Work out -594.3 + -109.
-703.3
Add together 1.8 and 0.4411.
2.2411
What is 0 + 0.48?
0.48
What is -502.69 less than 0.15?
502.84
Work out 2 + 3220.
3222
What is 15 minus 36218?
-36203
What is 0.3 less than -114310?
-114310.3
S... | {
"pile_set_name": "DM Mathematics"
} |
vided by 18.
11
Let s be (-2)/2*(-23)/(161/126). Let l = s - 15. What is the remainder when -1 + 98 + 3/l*4 is divided by 27?
20
Let s = 50 - 17. Let v(m) = -37*m + 127. Let o(d) = -114*d + 381. Let z(g) = 3*o(g) - 10*v(g). What is the remainder when z(8) is divided by s?
31
Calculate the remainder when (-2661)/(3/10*-... | {
"pile_set_name": "DM Mathematics"
} |
uppose 0 = -5*t + 4*z + 13, -2*t + 7 = -z - y*z. Let a(j) = 6*j + 1. Let f(v) = 5*v + 1. Calculate t*f(m) - 4*a(m).
m + 1
Let r(w) = -w + 1. Suppose 3*j + 80 = 98. Let s(x) = -9*x + 5. Determine j*r(t) - s(t).
3*t + 1
Let d(v) = 20*v + 1. Let c(z) = 21*z + 2. What is 3*c(x) - 4*d(x)?
-17*x + 2
Let t(x) = -x - 1. Suppos... | {
"pile_set_name": "DM Mathematics"
} |
8
What is the q'th term of 2111, -34, -2179, -4324, -6469, -8614?
-2145*q + 4256
What is the t'th term of 90778, 179012, 267246, 355480, 443714, 531948?
88234*t + 2544
What is the t'th term of -27322, -26224, -25126, -24028, -22930, -21832?
1098*t - 28420
What is the w'th term of 236, 799, 2190, 4823, 9112, 15471, 2431... | {
"pile_set_name": "DM Mathematics"
} |
Let q be c(-5). Suppose q*o = -9*o - 54. Let a be o/(-9) + -2 + 2. What is the second biggest value in a, -4, 0.5, 6?
a
Let j = -0.9514 - -1.044. Let p = j - 5.0926. Which is the third biggest value? (a) -4/7 (b) p (c) -1/2 (d) 222
a
Let a be 1/(-1*3)*1. Let m = -0.19 - -0.29. Suppose -1299*d - 224 = -1411*d. What ... | {
"pile_set_name": "DM Mathematics"
} |
qrt(19)
Simplify sqrt(242) + 2 + (sqrt(242)*-1)**2 + sqrt(242) + (1 + 2*sqrt(242))**2.
66*sqrt(2) + 1213
Simplify -1 + -4 + sqrt(99)/(sqrt(36)/sqrt(4)).
-5 + sqrt(11)
Simplify 0 + 2*sqrt(48) + -1.
-1 + 8*sqrt(3)
Simplify (sqrt(2299)*-2)**2 + 0.
9196
Simplify (sqrt(165)/sqrt(3) - sqrt(55) - sqrt(55))/sqrt(5) + -3.
-sqrt... | {
"pile_set_name": "DM Mathematics"
} |
28*y**2 - 35 + 0 with respect to y.
-56*y
Let o(i) be the first derivative of 0*i**3 - 1/2*i**4 - 1 + 0*i - 1/2*i**2. Find the second derivative of o(t) wrt t.
-12*t
What is the third derivative of -6*y**5 + 5*y**5 - y**5 - 7*y**2 - 2*y**2 wrt y?
-120*y**2
Suppose -s - 9 = -4*s. What is the second derivative of -2*j + ... | {
"pile_set_name": "DM Mathematics"
} |
*w = -3*b + 1, -2*b - 2*w = 2*b - 20. Let o = b - -3. Solve 0 - o = -3*y for y.
2
Suppose -3*p + 5*c - 74 = 0, 6*p - 3*p + 66 = 3*c. Let f be (-152)/(-36) - (-4)/p. Solve 0*z - f*z = -4 for z.
1
Suppose 3 - 19 = -2*g. Solve 0 = -4*b - g - 12 for b.
-5
Suppose -2*u - 1 = -1. Solve u = -y - 3*y for y.
0
Suppose -12 = -4*... | {
"pile_set_name": "DM Mathematics"
} |
ggest value in 4, -81, -3/5, -16, -2/15, 0.05, 2/19?
-81
Which is the fourth biggest value? (a) 0 (b) 0.7 (c) -1/11 (d) 912.3
c
Which is the second biggest value? (a) -0.011 (b) -0.345 (c) 0.5 (d) 3 (e) -2
c
Which is the second smallest value? (a) 2 (b) -2/13 (c) -128897
b
Which is the fifth smallest value?... | {
"pile_set_name": "DM Mathematics"
} |
What is the greatest common divisor of 12 and w?
12
Let l(b) = 3*b**3 + 4*b**2 - 4*b - 1. Let i be l(3). Let q = -55 + 68. What is the highest common factor of i and q?
13
Suppose -6*j - 6*j = -15*j. Suppose j = -5*c - 4*x + 192, -3*c - 5*x + 195 = 2*c. Suppose -2*i + i + 4 = 0. What is the greatest common factor of c ... | {
"pile_set_name": "DM Mathematics"
} |
. Let w(z) be the first derivative of z**4/4 - z**3 + z**2 + 3*z - 2. Give q*n(i) + 4*w(i).
4*i**3 + 2*i
Suppose 2*t + 5*l - 23 = 0, t - 5*t = l - 1. Let q(j) = -j + 1. Let o(a) = -a + 6. Let f(m) = 3*m - 11. Let v(y) = -4*f(y) - 7*o(y). What is t*v(k) + 3*q(k)?
2*k + 1
Let d(o) = -55*o + 13. Let y(i) = 54*i - 11. Calc... | {
"pile_set_name": "DM Mathematics"
} |
are there between 8:58 AM and 8:25 PM?
687
What is 398 minutes after 5:47 AM?
12:25 PM
How many minutes are there between 2:41 AM and 2:31 PM?
710
How many minutes are there between 8:52 PM and 1:43 AM?
291
What is 255 minutes after 7:45 PM?
12:00 AM
How many minutes are there between 6:27 PM and 1:30 AM?
423
How many ... | {
"pile_set_name": "DM Mathematics"
} |
Let g be s(-6). Suppose -2*f = g - 84. Calculate the remainder when (-15)/10*f/9*-20 is divided by 8.
4
Let n(q) = q**3 - 10*q**2 - 2*q + 1. Let l be n(15). Calculate the remainder when (-9)/7 + 1 - l/(-14) is divided by 20.
18
Suppose 0*u + 3*u = k + 146, -5*k = 3*u + 748. Let l = k - -315. Calculate the remainder whe... | {
"pile_set_name": "DM Mathematics"
} |
179, 27281
List the prime factors of 110074528.
2, 3439829
List the prime factors of 5261228490.
2, 3, 5, 7, 353, 10139
List the prime factors of 1544291850.
2, 3, 5, 241, 42719
List the prime factors of 4729653564.
2, 3, 41, 419, 22943
List the prime factors of 33348444.
2, 3, 73, 38069
What are the prime factors of 2... | {
"pile_set_name": "DM Mathematics"
} |
7
Calculate -3 divided by -13769281.
3/13769281
What is 274181277 divided by 3?
91393759
What is 4 divided by -8740582?
-2/4370291
Divide 4 by -12787775.
-4/12787775
51 divided by -718272
-17/239424
Divide -807977 by 20.
-807977/20
Divide -109754352 by 9.
-12194928
Divide 2811946 by 9.
2811946/9
Divide -427695765 by -3... | {
"pile_set_name": "DM Mathematics"
} |
r of -61/162 and -67/34422.
929394
What is the common denominator of -91/31929840 and -23/60?
31929840
Find the common denominator of -95/6106668 and 83/156.
79386684
What is the common denominator of 7/1511600 and -1/528?
49882800
Calculate the least common multiple of 208 and 446199.
7139184
Calculate the common deno... | {
"pile_set_name": "DM Mathematics"
} |
)/6
Suppose 31 = 37*v - 80. Let j be -4 + 4 + -2 - -6. Factor -13*h**3 - 17*h**4 - 10*h - 37*h**j - 55*h**2 - 52*h**v + 34*h**4.
-5*h*(h + 1)*(h + 2)*(4*h + 1)
Let v(c) = -13*c**3 + 109*c**2 - 80*c - 52. Let n(q) = 18*q**3 - 164*q**2 + 120*q + 80. Let g(h) = 5*n(h) + 8*v(h). Suppose g(a) = 0. Calculate a.
-2/7, 2
Let v... | {
"pile_set_name": "DM Mathematics"
} |
b*n**3 + w and give b.
-97
Express -2303*l - 14*l**3 - 33 + 1166*l - 5*l**2 + 1136*l in the form z*l + v + d*l**3 + x*l**2 and give x.
-5
Express 2*d**2 - 6*d**2 - 2*d**2 + 1693*d - 38*d**2 - 1693*d + (-2 - d + 2)*(-4*d - 6*d + 2*d) in the form l + o*d + y*d**2 and give y.
-36
Rearrange -2*u**3 + 76 + 66 - 213 + 46*u*... | {
"pile_set_name": "DM Mathematics"
} |
2*z**3 - 11*j**2*z**2 - 4008*j**2*z + 4*j**2 - 2*j*z**2 - 137462*j - 3*z**3 - 3*z**2 wrt j?
-2*z**3 - 22*z**2 - 8016*z + 8
Find the second derivative of 110015739*i**2*s**2 + 26808*i**2 + 503*i*s - 1 wrt s.
220031478*i**2
Find the second derivative of -228231*a*y**3 - 37049106*a*y - 295*y**4 - 2*y - 3 wrt y.
-1369386*a... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 8*w - 5. Is m(l) a composite number?
True
Let w(j) = 0 + 6 - 3 + 45*j. Let b be w(3). Suppose -4*h + b = 5*g - 41, 5*h = -2*g + 228. Is h a composite number?
True
Suppose 22*a - 26*a + 10532 = 0. Is a a composite number?
False
Let i(x) = 442*x**2 + x + 1. Is i(-4) a prime number?
True
Let q be 0/(-2 + 1 + -1). Sup... | {
"pile_set_name": "DM Mathematics"
} |
6
Solve 225*s - 40*s - 8*s = -47*s + 8960 for s.
40
Solve 69458 = 91*h + 77193 for h.
-85
Solve -17412*n = -5061*n + 334889 - 124922 for n.
-17
Solve 121*z - 4282 - 660 = -344 for z.
38
Solve 805915*i - 403119*i = 402959*i - 3749 for i.
23
Solve 70*c = -92871 + 93641 for c.
11
Solve -714*k + 1187*k - 67623 - 37219 = -1... | {
"pile_set_name": "DM Mathematics"
} |
500000
Suppose -2*x + 10 = 3*x. Let i(m) = 545000*m**2. Let b be i(x). What is b rounded to the nearest one hundred thousand?
2200000
Let a(s) = -1173*s - 3. Let u(i) = i**3 - 12*i**2 + 11*i - 11. Let p be u(11). Let q be a(p). What is q rounded to the nearest one thousand?
13000
Let q = 8 + 18. Let n = -26.0062 + q. R... | {
"pile_set_name": "DM Mathematics"
} |
(72) - (3*sqrt(72) - sqrt(72))))/((sqrt(240)/sqrt(4)*1)/(-5*sqrt(250))).
-25*sqrt(3)
Simplify -4*((4*(sqrt(448) - 2*sqrt(448)))/(sqrt(8)*2*-3))/((1*(sqrt(72)*2 + sqrt(72)) + sqrt(72))/(-2*sqrt(441))).
28*sqrt(7)/3
Simplify ((sqrt(3024)*1)/(sqrt(28)/(sqrt(4)*2)) - (-4 + -2 + sqrt(192) + 3 + 2*sqrt(192)))**2.
9
Simplify ... | {
"pile_set_name": "DM Mathematics"
} |
- 2*w + 1. Let q be r(-4). Suppose k + 3*u = -q, 5*k = 3*k + u - 4. Which is the nearest to 0? (a) -0.2 (b) -4 (c) k
a
Let x = -0.01 - -1.01. Let z = x + -1.1. Which is the closest to 1? (a) 0.5 (b) -2/17 (c) z
a
Let l = 2 - 6. Let v = -0.4 + 0.2. Let p = -5 - -6. What is the closest to 1 in p, l, v?
p
Let u = 1... | {
"pile_set_name": "DM Mathematics"
} |
- d - 5)*(-32*d + 15*d + 63*d) + 2*d**2 - 5 + 5 in the form w + u*d + h*d**2 and give h.
-44
Rearrange -12 - f**2 + 8 + 2*f**3 + 7 to i + b*f + w*f**3 + y*f**2 and give w.
2
Express -2*g**2 - 2*g**3 - 31*g**4 + g**3 + 2 + 28*g**4 - 4*g as d*g**2 + l*g**3 + i*g + n + h*g**4 and give d.
-2
Rearrange 33 - 19 - 26*t + 27*t... | {
"pile_set_name": "DM Mathematics"
} |
t is the common denominator of (-6)/(-4)*12/116 and w?
58
Let i = 29345/1156 - 39/289. Let b = -2/1747 + 92607/13976. What is the common denominator of i and b?
8
Let b = -64750/27591 + -10/1623. Calculate the common denominator of (-2)/(-8)*(-1054)/(-119) and b.
238
Suppose -2*d = 3 + 27. Calculate the common denomina... | {
"pile_set_name": "DM Mathematics"
} |
rqrr.
5/504
Calculate prob of sequence kpz when three letters picked without replacement from {b: 10, z: 2, p: 2, u: 4, k: 1}.
2/2907
Calculate prob of sequence dadd when four letters picked without replacement from {d: 11, a: 3}.
45/364
Two letters picked without replacement from ttet. What is prob of sequence et?
1/4... | {
"pile_set_name": "DM Mathematics"
} |
46*a - p for a.
2
Let w(g) = -g**2 + 9*g - 12. Let j be w(7). Suppose 0 = 3*x + 5*y + 163, j*x - 3*y = -0*y - 134. Let o = x + 66. Solve -o*v + 22 + 3 = 0 for v.
5
Let k(h) = h**3 + 17*h**2 - 135*h - 196. Let r be k(7). Solve -128 = -r*w + 47 for w.
5
Let t be 6/4*1144/33. Let l be t/(-2)*2/(-4). Suppose 21*y = l*y + 2... | {
"pile_set_name": "DM Mathematics"
} |
-6
Suppose 0 = a - l + 4, -2*l - 22 = 4*a - 0*a. Let d be -1 + (a - -2 - -5). Let r(c) = 5*c**2 - 1. Determine r(d).
4
Suppose 0 = i + 2*p - 4, 2*p + 3*p - 10 = -4*i. Suppose 5*k - 6 + 46 = i. Let h = -6 - k. Let t(f) = 2*f**2 - 4*f + 3. Determine t(h).
3
Let w(i) = i**3 + i**2. Let f(d) = -2*d**3 - 7*d**2 - 6*d - 6. L... | {
"pile_set_name": "DM Mathematics"
} |
et x(j) = -4*j + 28. Let u(y) = -2*m(y) - 3*x(y). Let t be u(15). Suppose -4*d = q - d, -q = -3*d. Solve t*g + 1 + 3 = q for g.
-1
Let k be (3/6)/((-1)/(-6)). Let s = 6 - k. Suppose -3*i = -i - 10. Solve 0 = -2*c + s - i for c.
-1
Suppose -4*l + 2*k = 260, -3*k - 347 = 3*l + 2*l. Let d = -65 - l. Solve d*u = -2*u - 4 f... | {
"pile_set_name": "DM Mathematics"
} |
actors of 2540.
2, 5, 127
What are the prime factors of 89134?
2, 41, 1087
What are the prime factors of 15161?
15161
List the prime factors of 212.
2, 53
List the prime factors of 10821.
3, 3607
List the prime factors of 4351.
19, 229
What are the prime factors of 5522?
2, 11, 251
List the prime factors of 2384.
2, 14... | {
"pile_set_name": "DM Mathematics"
} |
rt(77))/sqrt(11) - sqrt(7) - sqrt(7)))**2.
1849/48
Simplify -1*((((sqrt(85)*-3 - sqrt(85))*-5 - sqrt(85))/sqrt(5) + (1 + sqrt(1700))*-2)*4 + -5).
13 + 4*sqrt(17)
Simplify ((sqrt(114) - (1*(sqrt(114) - (sqrt(114) + sqrt(114)*3 + sqrt(114))) - sqrt(114))) + sqrt(114)*-3*6)/((sqrt(120)/(sqrt(2)*1))/(sqrt(90)*-1)).
36*sqrt... | {
"pile_set_name": "DM Mathematics"
} |
kmm.
1/10
Two letters picked without replacement from tttttuttuaatuu. What is prob of sequence aa?
1/91
Two letters picked without replacement from {y: 4, a: 6, o: 3}. What is prob of sequence yy?
1/13
Three letters picked without replacement from kokjooojbbooouubbjjo. Give prob of sequence kou.
4/855
Four letters pick... | {
"pile_set_name": "DM Mathematics"
} |
Express 4*i**2 - 2 - 19*i**2 - 41*i**3 + 8*i**2 + 10*i**2 - i in the form d*i**2 + y*i**3 + h + q*i and give q.
-1
Express -b**2 + 0*b**2 + 2*b**2 - 36*b**3 - 129*b**3 as s*b**2 + z*b + i*b**3 + f and give s.
1
Express -2*t - 52*t**2 + 12 - 11 - 1 + 12*t**2 in the form z*t**2 + g + y*t and give y.
-2
Rearrange -9*g**3 ... | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from ccuucu. What is prob of picking 2 u?
1/5
What is prob of picking 1 u, 1 c, and 1 l when three letters picked without replacement from {u: 4, d: 2, i: 3, v: 2, l: 6, c: 1}?
1/34
Two letters picked without replacement from dddvdddddddddddddddd. Give prob of picking 2 d.
9/10
Four letters ... | {
"pile_set_name": "DM Mathematics"
} |
*t**2 + 61*t + 6. What is 4*i(r) + 9*k(r)?
-r**2 + 65*r + 2
Let m(i) = 3994*i - 58. Let o(s) = 1332*s - 22. Give 3*m(k) - 8*o(k).
1326*k + 2
Let x(k) = 2*k**3 + k**2 - 4*k + 3. Let w(a) be the third derivative of -a**5/60 - a**4/24 + a**3/6 - 2*a**2 - 929. What is w(n) + x(n)?
2*n**3 - 5*n + 4
Let f = 180 - 336. Let w ... | {
"pile_set_name": "DM Mathematics"
} |
t k(a) = y*f(a) + b(a). Determine h(k(o)).
10*o**2
Let z(p) = 4*p. Let s(r) be the third derivative of r**5/30 - 5*r**2. Give z(s(x)).
8*x**2
Let j(k) = -9*k**2 - 3 + 4*k**2 + 9*k**2 + 7. Let h(o) = 4*o**2 + 3. Let f(q) = -4*h(q) + 3*j(q). Let b(m) = -m**2. Calculate b(f(n)).
-16*n**4
Let q(c) = -3*c. Let g(n) = 42*n**... | {
"pile_set_name": "DM Mathematics"
} |
uence qr when two letters picked without replacement from qqqqqqqqqqqqqrqqrqqr?
51/380
Calculate prob of sequence oo when two letters picked without replacement from {k: 2, w: 2, o: 1, v: 1, t: 4}.
0
Calculate prob of sequence jtg when three letters picked without replacement from {j: 1, t: 10, z: 1, g: 1}.
5/858
Two l... | {
"pile_set_name": "DM Mathematics"
} |
= -2. Solve -z = -3*q + 7, -2*q = -z - w*q + 14 for z.
2
Let n(r) = 12*r + 80. Let h be n(-6). Solve -w + 2*c = 3*c + h, 0 = 3*w + 5*c + 32 for w.
-4
Let g = 81 + -64. Suppose 3*b + 8 = g. Solve -4*k - 4 = 0, b = v - 0*k + k for v.
4
Suppose 2*v = y + 3, y = 3 - 0. Solve 5*w = -3*x - 11, 0*w - v*w = 12 for x.
3
Let o =... | {
"pile_set_name": "DM Mathematics"
} |
c**2 + 0.
2*c*(c + 6)*(c + 15)/7
Suppose -616 = -6*k - 38*k. Suppose -9*g = -2*g - k. Factor -2*a**g + 1/2*a**4 + 0 - a**3 + 4*a.
a*(a - 2)**2*(a + 2)/2
Let r be 47/22 + -2 - (-1587)/(-11638). Determine c so that -1/5*c**2 - 1/10*c**4 + 0*c + 3/10*c**3 + r = 0.
0, 1, 2
Let a(u) be the second derivative of -64*u**2 - 4/... | {
"pile_set_name": "DM Mathematics"
} |
27*l. Let c be ((-12)/18)/(1/l). Is c at most as big as 0.2?
True
Let k = 90222 + -407893664/4521. Is k > 1?
False
Suppose 4*o = -433 + 2273. Let y be (-2)/6 + o/30. Suppose 2*m - 24 = -n - 2*m, 3*m = 5*n - 74. Is y != n?
True
Suppose 0 = -5*x + 3*c - 200, 0*x + c - 40 = x. Let k = x - -45. Suppose -3 = -m - 6, -3*z -... | {
"pile_set_name": "DM Mathematics"
} |
-115*k + 3*h, -h + 2145 = 5*k - 2*h + 2069 for k.
16
Solve 5*s + 56 = 1566628*y - 1566631*y, 0 = -4*s - 11*y - 148 for s.
-4
Solve 4*n + 520 = -9*f + 4*f + 123, f + f + 10 = -0*f for n.
-93
Solve 26190*y - 26195*y - 8*c = -2*c - 93, 0 = 5*y - 3*c + 24 for y.
3
Solve -29 = -n + 2*g - 5*g + 20, 49*n + 4*g = -21 - 152 fo... | {
"pile_set_name": "DM Mathematics"
} |
.
720*z**3 - 30*z
What is the second derivative of 3416*t**3*y**2 + 142*t**3*y - 2*y wrt y?
6832*t**3
What is the first derivative of 2*f**2 - 47*f*v**2 - 166*v**2 wrt f?
4*f - 47*v**2
What is the derivative of -6*k*n**2 - 13*k*n + 8157*k + 14*n wrt n?
-12*k*n - 13*k + 14
Find the third derivative of 23*y**3*z**2 - 2*y... | {
"pile_set_name": "DM Mathematics"
} |
5*b
Collect the terms in -18*y**2 - 8*y + 2*y**2 + 2*y**2 + 10*y**2 + 409*y**3 + 7*y**2.
409*y**3 + 3*y**2 - 8*y
Collect the terms in -876207*h + 413897*h - 2502800*h.
-2965110*h
Collect the terms in 69408*b + 9 + 69283*b - 138690*b.
b + 9
Collect the terms in 2*k - 8889*k**2 + 0 - 11 + 49.
-8889*k**2 + 2*k + 38
Collec... | {
"pile_set_name": "DM Mathematics"
} |
64*sqrt(3)
Simplify (6*(sqrt(704) + -1 - sqrt(704))*4*1 + 2)**2.
484
Simplify -1 + (sqrt(76) + -1*(sqrt(76)*2 - sqrt(76)))/(-4*sqrt(36)).
-1
Simplify (-2*sqrt(5040))/((sqrt(50)*-1 - sqrt(50))/sqrt(10)) - ((sqrt(4032) + 1 + sqrt(4032) - sqrt(28))**2 + 3).
-14816 - 80*sqrt(7)
Simplify 2*((-3*(sqrt(119) + sqrt(119) + 4*sq... | {
"pile_set_name": "DM Mathematics"
} |
/12 - -157/6. Suppose 212 = 22*a - 118. Calculate the common denominator of y and (-2)/a*650/39.
36
Suppose -24*q + 9*q = 3780. Let o(t) = -8*t**2 + 2. Let z be o(-2). What is the common denominator of q/z*(-45)/24 and -53/2?
4
Suppose -4*k = -875 + 895. Let j = -50 - -35. What is the common denominator of -24/11 and (... | {
"pile_set_name": "DM Mathematics"
} |
- 42 + 0)*(3 + 3 - 3))*(10 - 10 - 3*g**2) in the form c + t*g**2 + q*g and give t.
291
Express -1358 + 1358 + 122*n + 137*n as d*n + g and give d.
259
Express (z - 3*z + 4*z)*(0*z - 2*z**3 + 0*z) + (1458*z**2 + 62*z**2 + 943*z**2)*(1 - 1 - 5*z**2) as s*z + v*z**3 + i*z**2 + p*z**4 + a and give i.
0
Express (60 - 49 + 6... | {
"pile_set_name": "DM Mathematics"
} |
of -o**4/8 + o**3/6 - 4*o**2. Give r(2).
-5
Let n(j) = -4*j - 4*j + 3 + j + 4*j + j**2. Determine n(2).
1
Let p(o) = o**3 + 3*o**2 - 2*o - 4. Let b be p(-3). Suppose 0 = -0*i + b*i + 10. Let r(l) = l**3 + 6*l**2 + 6*l - 3. Determine r(i).
-8
Suppose -w - 1 = 2*i + 4, -5*i = -4*w - 7. Let y = -1 - i. Let t(q) = -7*q - ... | {
"pile_set_name": "DM Mathematics"
} |
ba + 129?
6405
In base 5, what is 10002244 + -10?
10002234
In base 8, what is -5326 - 125?
-5453
In base 5, what is -11344 + -130?
-12024
In base 4, what is -3302100313 - 1?
-3302100320
In base 13, what is 28 - 30c?
-2b4
In base 2, what is -100101 + 1110000111011?
1110000010110
In base 4, what is -1012 - 21102?
-22120
... | {
"pile_set_name": "DM Mathematics"
} |
3*m**2 in the form t + s*m**2 + y*m and give y.
3
Express 70872*v - 739*v**2 - 70872*v in the form m + l*v + z*v**2 and give z.
-739
Rearrange (4*a - 4 + 4)*(-43*a + 20*a + 26*a) + (-a + 0*a + 0*a)*(-3*a + 2*a - a) to the form b + m*a + l*a**2 and give l.
14
Rearrange -116*t**2 + 0*t**3 + 113*t**2 - 62*t**4 + 2 - 1 - 2... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*q - 168 = 0. Suppose -x - x + j = 0. Does 14 divide x?
True
Suppose -2*h + 14 = -4. Is 6 a factor of h?
False
Suppose -4*u - 15 = -7*u. Suppose -4*t - 4 = -2*v + 4*v, -3*v + u*t = -5. Suppose v*j - 14 = -3*q - 2*j, -2*q + 5*j + 41 = 0. Is 4 a factor of q?
True
Suppose -3*l = -4*l + 4. Suppose b = 5*c - 1 - 123, -c... | {
"pile_set_name": "DM Mathematics"
} |
f 693?
9
What is the hundreds digit of 7226?
2
What is the thousands digit of 5662?
5
What is the ten thousands digit of 32770?
3
What is the units digit of 159?
9
What is the tens digit of 996?
9
What is the units digit of 27247?
7
What is the units digit of 1912?
2
What is the units digit of 16737?
7
What is the hund... | {
"pile_set_name": "DM Mathematics"
} |
10*k**2. Calculate -2*g(n) - 11*v(n).
2*n**2
Let c(f) = -11*f - 75. Let x(z) = -13*z - 78. What is 7*c(u) - 6*x(u)?
u - 57
Let d(r) = -r**2 + 3*r + 9. Let n(z) be the third derivative of -z**5/60 + z**4/6 + 5*z**3/3 - 6*z**2 - 1. Determine -4*d(f) + 3*n(f).
f**2 - 6
Let y(s) = -12*s**3 + 6*s**2 - 6*s + 6. Let m be (-1... | {
"pile_set_name": "DM Mathematics"
} |
= l - 1. Let q(w) = -65*w + 55. Let n(k) = 110*g(k) + 2*q(k). Let c(x) = x**2. Give n(c(b)).
-20*b**2
Let g(s) = -2*s. Let y(w) = 3*w**2 - 3*w**2 - w**2. Determine g(y(a)).
2*a**2
Let n(w) = -83 + 83 + 2*w. Let r(f) = f**2. Calculate n(r(x)).
2*x**2
Let b(q) = -61*q**2 + 2*q. Let i(d) = 2*d**2. Determine b(i(x)).
-244... | {
"pile_set_name": "DM Mathematics"
} |
15282356 divided by -111062?
-1038
Divide 75733350 by 30415.
2490
35808193 divided by 1155103
31
What is -64648732 divided by -324868?
199
Divide -784800 by 225.
-3488
Calculate -13768536 divided by -138.
99772
Divide -1126 by 2441.
-1126/2441
Calculate 4 divided by 27282118.
2/13641059
Divide 6944498 by 28.
3472249/14... | {
"pile_set_name": "DM Mathematics"
} |
the form c*s**3 + i*s + n + f*s**2 and give c.
430
Rearrange 1 - 1 + 4*z + (-25 - 16 - 12)*(0*z + 0*z - z)*(0 + 2 - 3) to k*z + q and give k.
-49
Rearrange -67 + 5*z**2 + 2*z**4 - 18*z**3 + 210 - 71 - 70 to the form y*z + u*z**4 + v*z**2 + j + s*z**3 and give u.
2
Express (-6*x**2 + 5*x**2 + 2*x**2)*(0 + x + 0) - 3*x**... | {
"pile_set_name": "DM Mathematics"
} |
-3*i**3 + 2*i + 1. Let y = 62 + -60. Let f be -2*y + (-7)/(-42)*0. Calculate f*k(o) + r(o).
o**3 + 2*o + 1
Let u(f) = -f**3 + 33*f**2 + 2. Let c(a) = -2*a**3 + 100*a**2 + 7. Give 2*c(r) - 7*u(r).
3*r**3 - 31*r**2
Let m(t) = 6*t**3 + 8*t**2 + 6*t - 4. Let g(n) = -5*n**3 - 6*n**2 - 5*n + 3. What is -4*g(s) - 3*m(s)?
2*s*... | {
"pile_set_name": "DM Mathematics"
} |
081*x + 2
What is the f'th term of 24929, 51803, 78677, 105551, 132425, 159299?
26874*f - 1945
What is the q'th term of -2736816, -2736852, -2736888?
-36*q - 2736780
What is the j'th term of -2712, -5482, -8268, -11070, -13888?
-8*j**2 - 2746*j + 42
What is the b'th term of -3993, -4033, -4077, -4125, -4177?
-2*b**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
+ f and give u.
72
Rearrange (3*t + 14*t - 533*t)*(-4*t**3 + 4 - 4)*(-7 + 2 + 2) to the form z*t**2 + b*t + a*t**3 + i*t**4 + g and give i.
-6192
Express (o - 1 - o + o)*(5 - 6 + 0)*(75 - 368 + 1684) in the form v + y*o and give v.
1391
Express (-3*d + 3*d - d)*(-2 + 2 + 1) + (-8*d - 4*d - 37*d)*(-10 + 2 + 1) as z + p*... | {
"pile_set_name": "DM Mathematics"
} |
1/5. Let l be (-2)/4*0 - r. Suppose l + 190 = d. Is d a composite number?
False
Let t = -16 - -23. Let w be (-4)/14 - 236/t. Is -2*(-1 - w/(-4)) composite?
False
Let o = -5 + 138. Is o a composite number?
True
Suppose -5*w + 492 = -563. Is w a composite number?
False
Let h(s) = s + 8. Let a be h(-7). Is a/(-5) - (-596)... | {
"pile_set_name": "DM Mathematics"
} |
-0.5?
y
Let g = 3964 + -3992. Which is the third biggest value? (a) -1/18 (b) 5/3 (c) g
c
Let f = -4326 + 5404. Which is the smallest value? (a) 0.4 (b) -3 (c) -2 (d) f
b
Let d be ((-8)/(-100))/((6/(-8))/((-45)/(-6))). What is the second smallest value in 0.4, 5, d, -5.51, -5?
-5
Let a = -453 + 462. Let h be a/(... | {
"pile_set_name": "DM Mathematics"
} |
s are there between 2:26 AM and 7:03 AM?
277
How many minutes are there between 11:57 AM and 7:43 PM?
466
What is 44 minutes before 6:21 AM?
5:37 AM
What is 63 minutes before 2:41 AM?
1:38 AM
How many minutes are there between 11:18 AM and 9:46 PM?
628
What is 416 minutes after 10:53 AM?
5:49 PM
How many minutes are th... | {
"pile_set_name": "DM Mathematics"
} |
19*o**2 - 4*o + 116. Let c(g) = k*j(g) + 2*s(g). Differentiate c(a) wrt a.
-42*a + 2
Suppose 4*b - 750 = -3*w, -3*b + 5*w + 176 = -2*b. Find the third derivative of 27*l**3 - b*l + 185*l + 41*l**3 - l**3 - 51*l**2 wrt l.
402
Let y(h) be the second derivative of 323*h**5/5 - h**4/6 + 859*h**3/6 + 1558*h - 2. Find the th... | {
"pile_set_name": "DM Mathematics"
} |
ose 572*b - 107026990 + 21820021 = 39974659. Is b a prime number?
True
Let i = 2066 - -4714. Let q = i + 2219. Is q a composite number?
False
Let x(y) = -2*y**3 - 107*y**2 - 196*y - 1200. Is x(-77) a composite number?
True
Let a = -1042 - 22. Let b = a - -5763. Is b a prime number?
False
Suppose i - c - 12 = 2*c, -5*i ... | {
"pile_set_name": "DM Mathematics"
} |
rs of 1616?
2, 101
What are the prime factors of 1007?
19, 53
List the prime factors of 2472.
2, 3, 103
List the prime factors of 539.
7, 11
List the prime factors of 29153.
29153
List the prime factors of 1057.
7, 151
List the prime factors of 9841.
13, 757
What are the prime factors of 70418?
2, 137, 257
What are the... | {
"pile_set_name": "DM Mathematics"
} |
*5/30 + 59*n**4/12 - 122*n**3/3 - 5*n**2 - 505*n. Factor c(l).
2*(l - 2)*(l + 61)
Let s be ((-2108)/(-248))/(34/12). Suppose -9/4*g**2 + 21/4 + 3/8*g**s - 27/8*g = 0. What is g?
-2, 1, 7
What is o in 3/4*o**2 - 411*o + 56307 = 0?
274
Let a be (9 + -4 - 19) + (-212)/(-14). Suppose 2*h - h = 3. Factor 0 - a*g**4 + 0*g + ... | {
"pile_set_name": "DM Mathematics"
} |
*3 - 24*h**2 + 5*h. What is the units digit of l(19)?
1
Let p(y) = 18203*y + 31. What is the ten thousands digit of p(1)?
1
Suppose -8*j = -4*j - 4*n - 36, 4*j - 5*n - 41 = 0. Suppose -648 + 3076 = 4*p - j*z, 0 = 3*p - 2*z - 1824. What is the tens digit of p?
1
Let b = 91 - 155. Let w = b - -181. What is the units digi... | {
"pile_set_name": "DM Mathematics"
} |
. Let r be o(4). Suppose 160 = 5*b + r*t, -2*t - 50 - 75 = -5*b. List the prime factors of b.
3
Suppose 0 = -4*k - 2*l - 6, 0 = k - 6*k + 4*l - 14. Suppose 0 = -2*z + 3*t + 30, -4*z + 35 = -z - 2*t. List the prime factors of k/z - 714/(-54).
13
Let j(r) = 9*r**2 + 4*r - 2. Let g be j(1). Suppose 1050 = 17*v - g*v. What... | {
"pile_set_name": "DM Mathematics"
} |
u?
True
Let t(x) = -x**2 + 11*x + 14. Suppose -2*n + 3*n - 8 = 2*z, 0 = -z - 1. Let u be t(n). Suppose -131 = -3*g - h, -u = -g + 2*h + 9. Is g a multiple of 9?
True
Let s be ((-20)/24)/5 - 791/6. Does 3 divide -13*(s/10 - (-5)/25)?
False
Let p be ((-88)/33)/(2/(-3)). Suppose 138 = p*m + y, 1 = -y + 3. Is m a multiple... | {
"pile_set_name": "DM Mathematics"
} |
25 take away 0.05947?
-533.50872
Add 0.170467795451 and -0.2.
-0.029532204549
Sum -0.1578 and -62336.813988.
-62336.971788
Work out 2394.98696 + 11324.
13718.98696
Sum 1332805.06751761 and 5.
1332810.06751761
-15.09886136+0.13828
-14.96058136
What is the difference between -154561287395 and 0.363?
154561287395.363
Work... | {
"pile_set_name": "DM Mathematics"
} |
teger?
13
What is the third root of 11246 to the nearest integer?
22
What is the third root of 103 to the nearest integer?
5
What is the cube root of 52775 to the nearest integer?
38
What is the third root of 9475 to the nearest integer?
21
What is the square root of 31559 to the nearest integer?
178
What is the tenth ... | {
"pile_set_name": "DM Mathematics"
} |
h: 1}. Give prob of picking 1 h and 1 g.
2/3
What is prob of picking 2 j and 1 w when three letters picked without replacement from {w: 3, j: 5}?
15/28
What is prob of picking 2 r and 1 u when three letters picked without replacement from {u: 1, r: 2, s: 1, m: 3}?
1/35
Calculate prob of picking 2 d when two letters pic... | {
"pile_set_name": "DM Mathematics"
} |
Let c(j) = -65*j + 2*j**2 - 66*j - 4*j**2 + 131*j. Give i(c(b)).
-72*b**4
Let m(l) = l - 6*l - 4*l + 27*l. Let b(p) = -8*p. What is m(b(j))?
-144*j
Let w(p) = -2*p - 6 + 6. Let o(i) = -9*i - 72. Let v(a) = -2*a - 15. Let z(j) = 5*o(j) - 24*v(j). Determine z(w(x)).
-6*x
Let a(c) = -c + 237. Let u(p) = -23*p**2. Determin... | {
"pile_set_name": "DM Mathematics"
} |
- 2*t**3 + 0*t**3)*(4*t - t - 4*t).
11*t**4 - 2*t
Expand (l + l - 4*l)*(-1 + 2 - 2) - 44*l + 7*l + 6*l - 3 + 3 - l.
-30*l
Expand (0 + 2 - 3)*(-1 + 7*z**4 + 1).
-7*z**4
Expand 5*x**4 - 5*x**4 + 4*x**5 - x**5 - 4*x**3 + 4*x**3 + (-x**3 + 0*x**3 - x**3)*(-3 - x**2 + 3) + 5*x**5 - 6*x**5 + 0*x**5 + 4*x**5 + 3*x**5 - 6*x**5... | {
"pile_set_name": "DM Mathematics"
} |
of -97/13710 and -173/510?
233070
What is the common denominator of 43/472875 and 3/25?
472875
Calculate the common denominator of -13/4299 and 19/105.
150465
Calculate the lowest common multiple of 420 and 792.
27720
What is the least common multiple of 21 and 43113?
43113
What is the common denominator of 61/4320 and... | {
"pile_set_name": "DM Mathematics"
} |
1, 13, -4, -2 in increasing order.
-4, -2, 1, 13
Put -1, -7, 3, -3, 5 in descending order.
5, 3, -1, -3, -7
Put 0, -11, -18, 5 in ascending order.
-18, -11, 0, 5
Sort 5, -85, -3, -5.
-85, -5, -3, 5
Put 0.035, -2/5, -0.2, -5 in descending order.
0.035, -0.2, -2/5, -5
Put 11/5, 0.2, -0.2 in descending order.
11/5, 0.2, -... | {
"pile_set_name": "DM Mathematics"
} |
*2 - 5*n. Let m(x) = -13*c(x) - 6*z(x). Determine m(-5).
-6
Let p(w) = w + 5. Let d(x) = -14 - 4*x + 2*x - x + 0*x. Let n(l) = -3*d(l) - 8*p(l). Calculate n(-5).
-3
Suppose -2*m + 2*s = 3*m - 32, m - 4*s + 8 = 0. Suppose 7*o = 3*o - m. Let y = -4 - o. Let q(f) = 3*f + 1. Calculate q(y).
-5
Suppose 0 = 2*z - 4*n - 9 - 3... | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of 185297?
7, 103, 257
What are the prime factors of 3026303?
7, 97, 4457
What are the prime factors of 4485697?
349, 12853
List the prime factors of 1401980.
2, 5, 70099
What are the prime factors of 2424723?
3, 7, 19, 59, 103
What are the prime factors of 18672371?
18672371
What are the prime facto... | {
"pile_set_name": "DM Mathematics"
} |
arest integer?
3
What is the square root of 485 to the nearest integer?
22
What is 92869 to the power of 1/9, to the nearest integer?
4
What is the seventh root of 57182 to the nearest integer?
5
What is the square root of 65858 to the nearest integer?
257
What is the square root of 1666 to the nearest integer?
41
What... | {
"pile_set_name": "DM Mathematics"
} |
f sequence hh?
1/153
What is prob of sequence xwir when four letters picked without replacement from wiybrrxrbbx?
1/1320
Calculate prob of sequence dgig when four letters picked without replacement from {a: 1, k: 6, g: 5, d: 3, i: 2}.
1/476
Calculate prob of sequence pybr when four letters picked without replacement fr... | {
"pile_set_name": "DM Mathematics"
} |
10500
How many kilometers are there in 51985.54m?
51.98554
What is 31/5 of a decade in years?
62
Convert 0.9163317 kilograms to milligrams.
916331.7
What is 53582.7 decades in centuries?
5358.27
How many millilitres are there in thirteen quarters of a litre?
3250
How many millilitres are there in one quarter of a litre... | {
"pile_set_name": "DM Mathematics"
} |
4) + 6
5
Evaluate (-8 - -1) + (-1 + 3 - 2).
-7
What is the value of (-23 - -11) + (8 - -1)?
-3
What is -2 - -8 - (0 - -1)?
5
What is 43 + -42 + (-1 - -3)?
3
2 + 0 - (8 - 4)
-2
Evaluate (-2 - -6) + -1 + -76 + 75.
2
What is the value of 1 + -1 + -2 - -3?
1
Evaluate 0 - (-13 + 5) - 3.
5
Calculate 9 + -3 - (-2 - -8).
0
Cal... | {
"pile_set_name": "DM Mathematics"
} |
9 divided by -97.
7
Divide 2 by -510.
-1/255
896 divided by -7
-128
Calculate -264 divided by -6.
44
What is 234 divided by 74?
117/37
What is -2070 divided by 3?
-690
Divide 2232 by 6.
372
-115 divided by 2
-115/2
What is -296 divided by -4?
74
Divide -1030 by -2.
515
Divide -3 by 82.
-3/82
-17350 divided by -1
17350
... | {
"pile_set_name": "DM Mathematics"
} |
vative of -3*v**2 + 0*v**5 + 0*v**4 + 0 + 1/60*v**6 + 0*v - 3/2*v**3. Find the first derivative of y(n) wrt n.
6*n**2
Let z be 1*(0 + -2)*(-3 - -2). Find the second derivative of 41*f**z + 1 - 2*f - 65*f**3 - 2 + 137*f**3 - 74*f**3 wrt f.
-12*f + 82
Differentiate -78 - 21*k**4 - 25 + 5*k**2 + 49*k**4 wrt k.
112*k**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
aller: h or u?
h
Let z = 624 + -617. Suppose z*k + 470 = -650. Is -159 != k?
True
Let n be (2/(-1) - 17)/(-5). Let m be (1/(28/80))/(10/35). Suppose 10*s - 12*s + m = 5*z, 5*z + 10 = 2*s. Which is bigger: n or s?
s
Suppose 0 = -y - 10*a + 12*a + 3, 0 = -4*y + 4*a + 8. Let v be 2 - (-2)/((-452)/451). Which is bigger: v ... | {
"pile_set_name": "DM Mathematics"
} |
1235.
25.33635
Put together 138828 and -60499.
78329
Calculate 577 + -335773.
-335196
-1652.91 + 1.43
-1651.48
Calculate -0.838 - -545506.9.
545506.062
1739035556 + 62
1739035618
What is 261591 - -271?
261862
Work out -3553185975 - 0.5.
-3553185975.5
Calculate -22306.5 - -420.
-21886.5
-2730.937 + 194
-2536.937
What is... | {
"pile_set_name": "DM Mathematics"
} |
.3 (b) 3 (c) -3 (d) 34 (e) 1/6 (f) -1.77
b
What is the third smallest value in -2, -4, -12, -2228, -1, -11.6, 0.1?
-11.6
What is the second biggest value in 3/16, -2, 66, -30?
3/16
Which is the fifth biggest value? (a) -0.1 (b) -0.4 (c) -2 (d) -62 (e) 0 (f) -1069 (g) -4
g
Which is the biggest value? (a) 2/... | {
"pile_set_name": "DM Mathematics"
} |
eater: k or g?
g
Let t be 8 - -1*(0 + 1). Suppose -1 = -5*b + t. Which is bigger: 3 or b?
3
Let t = -0.06 - 6.94. Let c = -6.8 - t. Is 2 greater than or equal to c?
True
Let k = -0.3 + -0.2. Let a = -5.4 + 5.5. Is a >= k?
True
Suppose 2*j + 6 = -3*w, 4*w = j + 4 - 1. Is j at least as big as 0?
False
Let q = 44 + -43. W... | {
"pile_set_name": "DM Mathematics"
} |
0.4 (b) -2/9 (c) 2 (d) -8 (e) -68
b
Which is the closest to 1/5? (a) 342 (b) 52.7 (c) -2/3
c
What is the nearest to -835.15 in 1, -1/7, -1/4, 0.2?
-1/4
What is the closest to 1 in 1/2, -0.01, 0, -30, -1/7?
1/2
Which is the nearest to -1? (a) 1/7 (b) -2/13 (c) 0.04 (d) 6 (e) 859/14 (f) 2
b
What is the neare... | {
"pile_set_name": "DM Mathematics"
} |
34. Let h = 10 + -9.7. Put h, -2/3, w in increasing order.
w, -2/3, h
Let h = 2 + -2. Suppose -4*t + 7*t = h. Let v = -4 - -3. Sort t, 3, v.
v, t, 3
Let a(b) = -b - 6. Let r be a(-2). Let x = -6 - -8. Suppose 1 = -l - x. Put l, r, 1 in descending order.
1, l, r
Let r be -4*-3*1/(-4). Suppose -t + z - 6*z = -12, 3*z - 6... | {
"pile_set_name": "DM Mathematics"
} |
with respect to t.
-33*m**2*t**2 - 832*m*t**3
What is the third derivative of -1208955*d**3 - 145763*d**2 + 3*d wrt d?
-7253730
What is the second derivative of 135*d*r*z**2 - 3*d*r*z - 8190*d*r + 3*d*z + 746*r*z**2 - 2*z**2 - 2 wrt z?
270*d*r + 1492*r - 4
Differentiate g*k**2 - 51*g*k - 33797*g - 119*k**2 with respec... | {
"pile_set_name": "DM Mathematics"
} |
4 for i.
5
Solve -11*x - 28 - 5 = 0 for x.
-3
Solve -24 = -5*s - 39 for s.
-3
Solve 82 = -16*r + 18 for r.
-4
Solve 0 = -10*d - 25 - 5 for d.
-3
Solve 9*u - 25 = 11 for u.
4
Solve -6*k + 2*k - 4 = 0 for k.
-1
Solve -3*i = -7 + 22 for i.
-5
Solve -5*a = 38*a - 86 for a.
2
Solve s = 13439 - 13432 for s.
7
Solve 3*n = 476... | {
"pile_set_name": "DM Mathematics"
} |
s(j) = a(j) + 3*y(j). What is the remainder when 416/(-24)*3/(-2) is divided by s(0)?
12
Suppose 2*c - 2*o = 6, -2*c = c - 4*o - 4. Calculate the remainder when 45 is divided by c.
5
Let l = -35 + 40. What is the remainder when l is divided by 4?
1
Let s = 40 - 70. Suppose 3*j + 12 = -39. Let x = j - s. Calculate the ... | {
"pile_set_name": "DM Mathematics"
} |
w**3 - 1688*w**2 - 28260*w + 17568 = 0. What is w?
-61, -24, 3/5
Find r such that 5*r**2 - 1505*r = 0.
0, 301
Let 5*q**2/2 - 265*q/2 - 885 = 0. Calculate q.
-6, 59
Factor -3*a**3 - 10800*a**2 + 108525*a + 812250.
-3*(a - 15)*(a + 5)*(a + 3610)
Find t such that -t**3/3 - 12*t**2 + 364*t/3 + 3648 = 0.
-38, -16, 18
Factor... | {
"pile_set_name": "DM Mathematics"
} |
15*(4 + -4 + 1). Suppose 0 = -g - 2*g + y. What are the prime factors of g?
5
Suppose -67 = -k + 5*o + 92, -4*o = -4*k + 572. What are the prime factors of k?
139
Let d(l) = -l**3 - 6*l**2 - 5*l - 4. List the prime factors of d(-6).
2, 13
Let b(k) = k**2 + 6*k - 7. Let a be b(-7). Suppose -3*m + 0*m + 45 = a. What are... | {
"pile_set_name": "DM Mathematics"
} |
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