text stringlengths 270 8.19k | meta dict |
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) be the second derivative of -52*m**3/3 - 2*m - 290. Let z(c) = -9*c**2. What is x(z(g))?
936*g**2
Let t = 3332 - 3329. Let n(q) be the third derivative of 1/6*q**t + 0 + 1/24*q**4 - 26*q**2 + 0*q. Let i(r) = 2*r. Determine n(i(y)).
2*y + 1
Let t(h) be the first derivative of 59*h**6/360 - 10*h**3 - 7. Let d(b) be the... | {
"pile_set_name": "DM Mathematics"
} |
949
What is the third derivative of -2*z**4 + 5456*z**3 - 3*z**2 + 1088 wrt z?
-48*z + 32736
Differentiate 2262*j**2 - 14*j - 21649 with respect to j.
4524*j - 14
Differentiate -10*l*q*z - 1658*l*z**2 + 2*q*z**2 + 4*q*z - z**2 - 453 with respect to l.
-10*q*z - 1658*z**2
Find the third derivative of 2*g**6 + 452894*g**... | {
"pile_set_name": "DM Mathematics"
} |
(h(q)).
134*q
Let l(c) = -58204799*c. Let v(t) = -5*t**2. Determine v(l(j)).
-16938993133152005*j**2
Let r = 505 - 503. Let n(y) = 6*y**2 - 8*y**r + 2*y**2 + 4*y**2. Let s(f) = -5*f**2 + 10*f. Calculate s(n(w)).
-80*w**4 + 40*w**2
Suppose -2*g - 4*k - 12 = 0, 2*g - 2*k - 20 = 2*k. Let a(d) be the first derivative of 9 ... | {
"pile_set_name": "DM Mathematics"
} |
ulate the smallest common multiple of p and d.
357
Let g be (-2 - (-310)/144)/(28/213996). Let m = -8144/7 + g. Calculate the common denominator of m and (-74)/66*(-9)/(-2).
264
Let g(n) = 40 - n - 2*n + 6*n - 12. Calculate the smallest common multiple of 16 and g(2).
272
Suppose 0 = 3*i + i - 3*p - 372, -5*i - 4*p + 4... | {
"pile_set_name": "DM Mathematics"
} |
e
Is 253703 a prime number?
True
Is 5971 a composite number?
True
Is 389219 composite?
False
Is 62459 a composite number?
False
Is 95813 a composite number?
False
Is 2149 a prime number?
False
Is 56299 prime?
True
Is 208061 a prime number?
False
Is 541 a prime number?
True
Is 60563 prime?
False
Is 27299 prime?
True
Is ... | {
"pile_set_name": "DM Mathematics"
} |
c*n*t**2 + 2*n*t**3 wrt c.
6*c*n + 18*c - 6*n + 4*t**3
What is the derivative of 17*i**3 + 28*i + 11270?
51*i**2 + 28
What is the second derivative of -507*h**3*r**2 - h**2*r**3 + 170*h*r + r**3 - 2*r**2 wrt h?
-3042*h*r**2 - 2*r**3
What is the third derivative of -307*g**3*x**3 + 38*g**3 - 2*x**2 + x wrt x?
-1842*g**3... | {
"pile_set_name": "DM Mathematics"
} |
ue
Suppose -386*z = -389*z + 33. Let y(h) = 3*h**3 - 6*h**2 - 2. Is y(z) prime?
False
Let k(q) = 114*q**3 + 17*q**2 + 226*q - 111. Is k(14) a prime number?
True
Let x(u) = 11*u - 6. Let h be x(1). Is (-78)/130 - (-15818)/h prime?
True
Suppose 5*v = 3*z - 6105, -2*z + v = -4*z + 4057. Let f = z - -1329. Is f prime?
True... | {
"pile_set_name": "DM Mathematics"
} |
). Let m be 2/(-6)*w*-3. What is the biggest value in m, k, -0.3?
-0.3
Let n(i) = -i**3 + i - 1. Let b be n(-2). Suppose 3*w + 55 = 8*w. Suppose -w - 14 = b*j. What is the third biggest value in -0.2, 1, j?
j
Let u = -22 + 15. Let h = -7.6 - u. Which is the second smallest value? (a) 4 (b) -5 (c) h
c
Let p = 173 - 1... | {
"pile_set_name": "DM Mathematics"
} |
-166846.8?
-13/6
What is the second biggest value in 7783, 0.19, -1.23?
0.19
What is the second biggest value in -9.5, -2/13, -848, 2/5, -4?
-2/13
Which is the third biggest value? (a) 36844 (b) -280 (c) -1/5
b
Which is the seventh biggest value? (a) 2 (b) -3 (c) -15/16 (d) 2/7 (e) 0.4 (f) 95 (g) 1/8
b
Which... | {
"pile_set_name": "DM Mathematics"
} |
96*y - 100*y + 37656. Suppose -17*j + y + 11309 = 0. Is j a composite number?
True
Suppose -14*d + 203177 = 21471. Is d prime?
True
Let w(p) = -p**2 + p + 2. Let k be w(-2). Let f be k - (-2 + 3)*-7. Is -30*(2/f + -1) composite?
True
Let y(n) = 5227*n**3 + 2*n**2 + 6*n - 9. Is y(2) composite?
True
Let d = -12319 + 1828... | {
"pile_set_name": "DM Mathematics"
} |
*h**2 - 245304*h + 2736864 = 0.
-8772, -13, -3, 2
What is h in -2*h**3/9 + 33266*h**2/9 - 136497526*h/9 - 15276053738/9 = 0?
-109, 8371
Factor -3*y**2 - 1490652612*y - 185170434138535212.
-3*(y + 248442102)**2
Solve -30*x**5 + 1282*x**4/11 - 58*x**3 - 2034*x**2/11 + 1168*x/11 + 952/11 = 0.
-1, -17/33, 7/5, 2
Determine ... | {
"pile_set_name": "DM Mathematics"
} |
-15574, -31123, -46642, -62125, -77566, -92959, -108298, -123577?
-138790
What comes next: 27823, 27842, 27909, 28048, 28283, 28638?
29137
What is next in -70010, -70014, -70014, -70010, -70002?
-69990
What is the next term in -335177, -670470, -1005763, -1341056, -1676349?
-2011642
What comes next: -511, 492, 3009, 7... | {
"pile_set_name": "DM Mathematics"
} |
2*q(n) + 14*y(n). What is v(d(f))?
8*f**2
Let r(l) = 539*l**2. Let v(w) = 0*w**2 + 3*w**2 + 5*w**2 - 3*w**2 - 7*w**2. Determine v(r(b)).
-581042*b**4
Let l(c) = 5*c**2 - 18*c**2 - 11*c - c + 12*c. Let r(j) = 26*j. Calculate r(l(b)).
-338*b**2
Let g(r) = 41463*r**2. Let z(q) = -2*q. Determine z(g(n)).
-82926*n**2
Let y(... | {
"pile_set_name": "DM Mathematics"
} |
ifths of a millennium?
4200
What is 7083.295 tonnes in nanograms?
7083295000000000000
How many centimeters are there in 72/5 of a meter?
1440
How many micrometers are there in 17/4 of a millimeter?
4250
How many millilitres are there in six fifths of a litre?
1200
How many microseconds are there in 70859.86 days?
61222... | {
"pile_set_name": "DM Mathematics"
} |
) - sqrt(21))*-6))/(sqrt(21)/sqrt(3)*4 + (-2*sqrt(567) - sqrt(7) - sqrt(7))).
25*sqrt(3)/16
Simplify (1 + (sqrt(6)/sqrt(3)*-6 - (sqrt(2) + -4 + sqrt(2))*-4))**2.
-60*sqrt(2) + 233
Simplify ((-1*(5*sqrt(209)*2 + sqrt(209)))/((sqrt(704)*1 - sqrt(704)) + sqrt(704) + -2*sqrt(11)*-2))**2.
2299/144
Simplify 5*(sqrt(30) - sqr... | {
"pile_set_name": "DM Mathematics"
} |
ors of t?
2, 7
Suppose 3*u + 9 = 3*w, 5*w - 21 = 2*u - 3*u. Suppose w*v - 5*v = -11. List the prime factors of v.
11
Let a = 1 - 3. What are the prime factors of 2*(a + 27/2)?
23
Let w be (-10)/5*2/(-4). Let j = -1 + 11. Let b = j + w. List the prime factors of b.
11
Let k be (-3 + 1)*(-1)/(-2). Let j = k + 5. What are... | {
"pile_set_name": "DM Mathematics"
} |
divide ((-8)/q)/((-2)/39)?
False
Let c(f) = 2*f + 16. Let x be c(-6). Suppose 2*v + 2 = -x, -3*w + v + 156 = 0. Does 4 divide w?
False
Suppose 0*y = 4*f - 5*y - 697, -5*y = -5*f + 865. Is f a multiple of 70?
False
Let p(z) = -z**2 - 6*z - 3. Let b be p(-6). Let x be (-1)/((-1)/b)*1. Is 15 a factor of 450/10 - (-1 - x)... | {
"pile_set_name": "DM Mathematics"
} |
o six decimal places.
0
Let s = 1471.29 - 1458. Let v = 14.3 - s. Let o = -0.73 + v. Round o to 1 dp.
0.3
Let f = 0.062489 - 0.0682844. What is f rounded to 5 dps?
-0.0058
Let p = -522 - -779. Let r = -99 + p. Round r to the nearest 100.
200
Let v(y) = 47*y - 39 + 103*y**2 + 45 - 18*y. Let d be v(-6). What is d rounded... | {
"pile_set_name": "DM Mathematics"
} |
f 1743, 3493, 5243, 6993?
1750*f - 7
What is the q'th term of -442, -422, -396, -364, -326, -282, -232?
3*q**2 + 11*q - 456
What is the t'th term of -4147112, -4147123, -4147148, -4147193, -4147264, -4147367?
-t**3 - t**2 - t - 4147109
What is the d'th term of -20478, -40963, -61448, -81933?
-20485*d + 7
What is the o'... | {
"pile_set_name": "DM Mathematics"
} |
+ 3215 = t. What is the highest common factor of h and 37?
37
Let t(u) = -13*u**3 + 3*u**2 + 2*u - 1. Let p(w) = -w**3 + 5*w**2 - 1. Let y be p(5). Let b be t(y). Calculate the highest common divisor of 1 and b.
1
Suppose 5*k - 388 = m, 3*k + k + m = 314. Suppose -2*x = -s - 20, 3*s - 30 = 5*x - k. Calculate the greate... | {
"pile_set_name": "DM Mathematics"
} |
80526, -45720784, -60961042, -76201300?
-15240258*r - 10
What is the d'th term of -5500, -10719, -16404, -22789, -30108, -38595, -48484?
-39*d**3 + d**2 - 4949*d - 513
What is the d'th term of -121, -928, -2371, -4450, -7165, -10516?
-318*d**2 + 147*d + 50
What is the i'th term of -33533, -67041, -100549, -134057?
-335... | {
"pile_set_name": "DM Mathematics"
} |
e the first derivative of b(j). What is s in z(s) = 0?
-1, 1, 2
Suppose -2*w - 12 = -5*w. Let m be ((-1)/(-4))/(w*(-3)/(-72)). Let 9/2 + m*c**2 + 6*c = 0. What is c?
-3, -1
Suppose z - 7 = -5*f, -2*f - 3*f + 3*z = -19. Let 0 - 1/6*h**f - 1/2*h = 0. What is h?
-3, 0
Let s(j) = -j**3 + 6*j**2 - 5*j + 1. Let w be s(5). Le... | {
"pile_set_name": "DM Mathematics"
} |
s 3*d**4 + 2*d**4 - 6*d**4 + (2*d + 3*d - 3*d)*(-3077*d**3 + 1564*d**3 + 1652*d**3) in the form p*d**2 + f*d**4 + m + i*d**3 + u*d and give f.
277
Express -2*h**3 + 2923*h**2 - 41 - 2939*h**2 + 308*h - 305*h as y*h**3 + v + d*h**2 + s*h and give d.
-16
Rearrange -69*d + 110*d - 5*d**2 + 116*d - 13*d + 213*d to the form... | {
"pile_set_name": "DM Mathematics"
} |
ose -6*r + 11*r - j = 0. Let o = 914 + r. Is o a composite number?
True
Suppose 10*t - q - 2026125 = 0, -t - 15*q + 202633 = -11*q. Is t composite?
False
Let d be (5 - 11 - -7)*5/1. Let x(b) = 35*b**3 + 4*b**2 + 11*b + 1. Is x(d) a composite number?
True
Suppose 2*s + 985631 = 5*c, 4*c - 3392*s - 788495 = -3389*s. Is c... | {
"pile_set_name": "DM Mathematics"
} |
y(a) wrt a.
120*a
Let v(i) be the first derivative of -2*i**7/7 - 7*i**3/3 + 7. What is the third derivative of v(r) wrt r?
-240*r**3
Let k(f) be the second derivative of 0 + 0*f**4 - 1/2*f**3 - 3/20*f**5 + 0*f**2 + f. What is the second derivative of k(d) wrt d?
-18*d
Let p(l) be the first derivative of -l**4/4 + 5*l ... | {
"pile_set_name": "DM Mathematics"
} |
PM and 9:54 PM?
572
How many minutes are there between 2:31 AM and 9:43 AM?
432
What is 123 minutes after 11:20 PM?
1:23 AM
What is 679 minutes after 4:32 PM?
3:51 AM
What is 714 minutes before 2:22 AM?
2:28 PM
How many minutes are there between 12:14 PM and 6:09 PM?
355
How many minutes are there between 11:49 AM and ... | {
"pile_set_name": "DM Mathematics"
} |
11
Let a(s) = s**3 + 11*s**2 + 6*s + 7. Let z be (1*(-15)/(-6))/((-124)/496). What is a(z)?
47
Suppose -114*p + 129*p + 75 = 0. Let x(l) = -14*l**2 - 5*l - 14. Let y(m) = 5*m**2 + 2*m + 5. Let h(w) = -6*x(w) - 17*y(w). Determine h(p).
-6
Let x be (2 - 3)/(1/(-32)). Let y = -7 + 36. Let o = y - x. Let v(z) = z**3 + 3*z... | {
"pile_set_name": "DM Mathematics"
} |
. Calculate i(f(k)).
18*k**4
Let i(g) = -3*g. Let q(k) = -18*k**2. Give i(q(u)).
54*u**2
Let n(u) be the third derivative of u**4/8 + 28*u**2. Let x(a) = 16*a**2. Give n(x(y)).
48*y**2
Let d(u) = -u - 18. Let z(g) = 2. Let r(b) = 2*d(b) + 18*z(b). Let q(f) = 8*f. Give r(q(t)).
-16*t
Let s(n) = 6*n**2. Let f(p) = -441*p... | {
"pile_set_name": "DM Mathematics"
} |
uming b is positive.
b**(15652/75)
Simplify (t/(t/(t**(-2/13)*t))*t*t*t**(-2)*t)**(3/7)/((t*t**5)/(t*(t*t*(t**2*t)/t)/t))**(7/10) assuming t is positive.
t**(-277/455)
Simplify ((((v*v*v/(v**1/v))/v)/v)/(v/v**(-1))*(v*v*v**(-3/7)/v)/v*v**(-8))/((v**(1/2))**(1/30)*v**(-1)/(v/v**(2/5))) assuming v is positive.
v**(-659/8... | {
"pile_set_name": "DM Mathematics"
} |
ive.
q**(-87/40)
Simplify (((o*o**(5/6))/o*o*o)/o**(-2/23)*(o**(5/4))**(-19))**(4/3) assuming o is positive.
o**(-5749/207)
Simplify (q/(q*q**0/q))**(3/19)*q**(-2/7)*q**(1/3)*(q**(1/9)*q*(q/(q**(-2/3)/q)*q)/q)/(q**4*q/(q/q**2)) assuming q is positive.
q**(-2414/1197)
Simplify ((n*n**(1/29)*n)/(n/(n/(n*(n/n**(-1/25))/n)... | {
"pile_set_name": "DM Mathematics"
} |
least common multiple of (42/(-10) - -1)*(-250)/m and 45?
360
What is the least common multiple of (-189225)/(-375) + (-3)/5 and 4?
504
Let x = -73648575/466 - -158044. What is the common denominator of x and -65/14?
3262
Calculate the least common multiple of 6 and -75*2*(-3)/6.
150
Let t(a) = -11*a - 30. Let y be t(... | {
"pile_set_name": "DM Mathematics"
} |
pose 11 = -5*w - 3*j, 0 = 6*w - 5*w + j + 1. Let m = -3 - w. Let i(d) = -d**3 - 6*d**2 - 3*d + 14. Let b be i(-5). Which is smaller: m or b?
m
Let x = 1 - 1. Let q = 1.09 - 1. Let y = 0.01 + q. Is y < x?
False
Let m = 11 + -7. Let o = m - 6. Which is bigger: 0 or o?
0
Suppose h - 54 = 10*h. Does 0 = h?
False
Let a = 0.... | {
"pile_set_name": "DM Mathematics"
} |
ch is the closest to -1.3? (a) 69 (b) 21 (c) -3 (d) -0.12 (e) -5
d
Which is the closest to -2? (a) 3/4 (b) -0.114 (c) -1711 (d) 4 (e) 5 (f) 6
b
What is the nearest to 26 in 0.4, 10, -4, -5997?
10
Which is the closest to 1.3? (a) -33 (b) -6509 (c) -1/4
c
What is the closest to 0.07 in -2.47, -2, 4, -4?
-2
... | {
"pile_set_name": "DM Mathematics"
} |
be y(12). Let n = -7 + 4. What is the third biggest value in -0.5, n, o?
o
Suppose m + 0 = 3. What is the third smallest value in 0.2, m, 1?
m
Let o = 12.2 - 12. Let n be (-7)/(-15) + 2/6. What is the third smallest value in n, -5, o?
n
Let i = -6 - -11. Suppose -3*z - 2*v + 8 - 21 = 0, -23 = 3*z + 4*v. Which is the bi... | {
"pile_set_name": "DM Mathematics"
} |
(c) = c**3 + 15*c**2 + c + 13. Let t be s(z). Put t, -1, d in ascending order.
t, -1, d
Suppose 0 = -g - h, -3*g - 2*g + 6 = 3*h. Suppose g = 2*b - b. Let c(p) = 201*p - 202. Let s be c(1). Put b, s, 6 in descending order.
6, b, s
Let i = -9 - 0. Let p = i + 9. Let c be (p - -3)*(3 + -4). Put c, 4, 5 in decreasing orde... | {
"pile_set_name": "DM Mathematics"
} |
*y + 488807 = 490535 for y.
24
Solve 0 = -237227*l + 236001*l - 98080 for l.
-80
Solve -2843*w = 507*w - 688*w - 130438 for w.
49
Solve -309*h + 628*h - 240 = 331*h for h.
-20
Solve -4207*p = 4251*p - 8730*p - 17408 for p.
-64
Solve 5369*y = -580*y - 12797*y + 18746 for y.
1
Solve 804 - 878 - 2212 = 561*o + 7812 for o.... | {
"pile_set_name": "DM Mathematics"
} |
t**4 + 36*t**3 + 0*t + 0*t**2 + 95. Find the third derivative of i(y) wrt y.
102
Let p = 354 - 351. Differentiate -15 - 1 - 9 - 102*i**p wrt i.
-306*i**2
Let u(x) = x**3 - 22*x**2 + 6*x + 13. Let q be u(22). What is the second derivative of -231 + 76*c**3 + 231 - 17*c**3 + q*c wrt c?
354*c
Suppose 89 = 2*u - 47. Suppos... | {
"pile_set_name": "DM Mathematics"
} |
hen 182 is divided by x(12).
27
Suppose 0 = 9*m - 49 - 509. Suppose 0 = -6*y + 2*y + 20. Let h(n) = n + 11. What is the remainder when m is divided by h(y)?
14
Suppose 10 + 2 = -4*q - 4*v, 5*q + 3*v = -5. Suppose 5*u - 120 = -0*w - 3*w, -q*u = -w + 51. Calculate the remainder when w is divided by 12.
9
Calculate the re... | {
"pile_set_name": "DM Mathematics"
} |
ond derivative of -4*a**4 + 4*a**2*f**3 - 3*a**2 - 7*a + 3*f**3 wrt a?
-48*a**2 + 8*f**3 - 6
Differentiate 23*b**3 + 733 wrt b.
69*b**2
Find the third derivative of 413*c**6*x**3 - 2*c**6 + 3*c**2*x + 6*c*x**3 wrt c.
49560*c**3*x**3 - 240*c**3
Find the third derivative of 3*n**5*q - 282*n**3*q - 3*n**2*q + n**2 - 223*q... | {
"pile_set_name": "DM Mathematics"
} |
8, -504, -45, -0.5?
-0.5
What is the closest to 0.01 in 4, 2/11, -0.3, 20, -2/9?
2/11
What is the closest to -15/2 in -238, 1, 1/3?
1/3
What is the closest to -1/5 in 0.3, -5, -3, 1/9, 1?
1/9
What is the closest to -0.055 in -1/3, -2/9, -5, -0.8, -0.06?
-0.06
What is the nearest to 0.12 in 10, -5, -69?
-5
Which is the ... | {
"pile_set_name": "DM Mathematics"
} |
. Let p be d(-6). Let t = -35 - p. Is 3 + (-172)/8*t a composite number?
True
Let z(f) = f**3 + 187. Suppose 4*b + 4*b = 3*b. Is z(b) prime?
False
Let a(r) = -r**3 + 7*r**2 + 3*r - 8. Let g be a(7). Let w = -11 + g. Suppose -3*d + w*q = -0*d - 1395, -5*d + q + 2332 = 0. Is d prime?
True
Suppose -k = 4*w - 317, -k = 2*k... | {
"pile_set_name": "DM Mathematics"
} |
(c) 4/7
b
Let c = -146.8 + 147. Let a = 49 + -55. Let i be ((-2)/(0 + 6))/((-3)/a). What is the nearest to -0.2 in -1, c, i?
c
Let k = -6.215 - -6.215. What is the closest to k in -2, -0.1, 4/3?
-0.1
Let b = 643 - 643.2. Let x = 32 + -31.9. What is the closest to 0.2 in 0.4, b, x?
x
Let f be ((-18)/189 - (-109)/42)*6/1... | {
"pile_set_name": "DM Mathematics"
} |
third derivative of c(f) wrt f.
-264*f
Let g(k) be the first derivative of 0*k**3 + 2*k - 3 + 1/6*k**4 - 5/2*k**2. Let m(w) be the first derivative of g(w). Find the first derivative of m(z) wrt z.
4*z
What is the third derivative of 21*j**2 - j**4 + 0*j**4 - 2*j**4 - 9*j**2 wrt j?
-72*j
Let u = 6 + -2. What is the th... | {
"pile_set_name": "DM Mathematics"
} |
15/28
Three letters picked without replacement from emmemmeememm. Give prob of picking 3 m.
7/44
Four letters picked without replacement from {p: 3, t: 1, b: 2, g: 6}. Give prob of picking 1 t and 3 p.
1/495
Calculate prob of picking 1 r and 1 v when two letters picked without replacement from rrvvvvvvvrvvvvv.
12/35
Tw... | {
"pile_set_name": "DM Mathematics"
} |
n be b(-3). Factor -12 - 22*p**3 - 96*p**2 - 12*p**3 + 61*p**n - 70*p - 9*p**3.
2*(p - 6)*(3*p + 1)**2
Suppose -9 = 5*r - 34. Let a be (-117)/78*(-2 + 0/(-1)). Suppose 4*x**2 + 4*x**4 - 3*x**2 - r*x**4 + 2*x + x**a - 3*x = 0. Calculate x.
-1, 0, 1
What is v in 8*v**2 + 17*v - 3*v - 8*v**2 + 5*v**2 - 7*v**2 = 0?
0, 7
Su... | {
"pile_set_name": "DM Mathematics"
} |
y + 14. Solve 0 = y*n - d*n - 2 for n.
2
Let n be 5 - (3/(-3) + 2). Let v(u) = u + 1. Let m be v(n). Solve 0 - m = h for h.
-5
Suppose -3*d = -4*j - 12, -5*j - d - d + 8 = 0. Let t(s) = s**3 - s**2 - s - 3. Let b = 16 - 13. Let f be t(b). Solve j = -0*h + 4*h + f for h.
-3
Suppose -5 + 3 = -l. Solve 4*u = l*u + 8 for ... | {
"pile_set_name": "DM Mathematics"
} |
m + 67*m - 53821306. Is m a composite number?
True
Let l = -152707 + 217440. Is l a prime number?
False
Let w(p) = -p - 10. Let x(j) = -j**3 + 4*j**2 - 5*j - 4. Let l be x(3). Let m be w(l). Suppose m = 7*g + 457 - 3306. Is g a composite number?
True
Let j be 8*(6/15 + (-35)/25). Suppose -3*z + 16 = -z. Is 2/j + 2362/z... | {
"pile_set_name": "DM Mathematics"
} |
alue of ((-15)/(-90)*33 + (-3069)/165)*-10?
131
What is 341600/2812320 + 6/(-62)?
2/81
Evaluate (126/(-630))/(35/(-6825)).
39
What is the value of (-9)/2*((-128)/38 - (935/255 - 7))?
3/19
Calculate -5 - 120/(-204)*3*3.
5/17
452/32*(-639 - -631)
-113
What is (-422)/9292 + (-99843)/(-2323) + -43?
-3/46
What is ((-2178)/(... | {
"pile_set_name": "DM Mathematics"
} |
p(w) prime?
True
Let h(p) = -59*p + 3. Let j(k) = -k**3 - 2*k**2 + 4*k - 1. Let l be ((-6)/(-4))/((-3)/6). Let m be j(l). Is h(m) a prime number?
True
Suppose r = -4, 4*d - 3*r = 4 - 0. Let w be -94*2/8*d. Suppose -2*c + c = -w. Is c a prime number?
True
Suppose -3*i - 12 = 3*a, 0 = 4*i - 7*i + 3*a + 18. Let z(l) = l*... | {
"pile_set_name": "DM Mathematics"
} |
4) - 11/(484/(-16)). What is the closest to -1 in 5, -2/13, -5, v?
-2/13
Let n = -0.97 - 0.03. Let y = -139 + 139.006. Let o = y + -0.606. What is the nearest to n in 3, o, 2/5?
o
Let b = -1/8873 - -541256/26619. What is the nearest to -2/7 in 0.3, -31, b?
0.3
Let j(w) = -3*w**2 + 21*w + 437. Let d be j(16). Let s = -9... | {
"pile_set_name": "DM Mathematics"
} |
, -1, 1, 22
Suppose x**2/2 - 1170813*x/2 + 19317870 = 0. Calculate x.
33, 1170780
Let 34*c**5/7 - 1994*c**4/7 + 30754*c**3/7 - 94214*c**2/7 + 96220*c/7 - 4400 = 0. Calculate c.
11/17, 1, 2, 20, 35
Factor f**2/4 - 43820894*f + 1920270750959236.
(f - 87641788)**2/4
Find p such that 3*p**3/2 - 198*p**2 - 5756985*p/2 - 141... | {
"pile_set_name": "DM Mathematics"
} |
ming m is positive.
m**(-3602/2145)
Simplify (k**(-1)/k**(2/13))/((k*(k/(k*k**(2/7)))/k)/(k**(6/11)/k))*(k**2*k**(-2/3))/(k**(1/5)/k**(4/5)) assuming k is positive.
k**(9169/15015)
Simplify (a**(-3/8)*a*a/(a/a**3))**(-25)*a**(4/5)/(a**5/a)*(a/a**(3/4))/((a/(a/a**(1/2)))/a) assuming a is positive.
a**(-3723/40)
Simplify... | {
"pile_set_name": "DM Mathematics"
} |
x, q, w, 2 in increasing order.
q, w, x, 2
Let k = -64 + 101. Suppose 4*f - 3*f = 33. Suppose 10*r = -k - f. Sort 3, -4, r in ascending order.
r, -4, 3
Let p = 59691 + -59687. Let s = -30 + 9. Put s, p, -1/7 in descending order.
p, -1/7, s
Suppose 5 = -0*m - m. Let b = -48610 - -48610. Put m, b, -1 in ascending order.... | {
"pile_set_name": "DM Mathematics"
} |
True
Does 24 divide 14449?
False
Does 75 divide 4280?
False
Is 9 a factor of 25501?
False
Does 16 divide 73333?
False
Is 2172 a multiple of 12?
True
Is 78778 a multiple of 11?
False
Is 324 a multiple of 18?
True
Is 5 a factor of 1942?
False
Is 366 a multiple of 122?
True
Is 32570 a multiple of 113?
False
Does 15 divid... | {
"pile_set_name": "DM Mathematics"
} |
ecreasing order.
10.5, 1/4, -0.2, -2
Sort 3, 15, -2/5, 1, -5/12.
-5/12, -2/5, 1, 3, 15
Sort 4, -1, -65, -3 in decreasing order.
4, -1, -3, -65
Sort 4, 55, -4 in decreasing order.
55, 4, -4
Sort 4, -2, 1, 5.
-2, 1, 4, 5
Sort 3, 0, 1472.
0, 3, 1472
Sort -3, -5/2, 0.08 in descending order.
0.08, -5/2, -3
Sort -73, -3, 3 i... | {
"pile_set_name": "DM Mathematics"
} |
+ q + 1. Give g(d) - 3*x(d).
4*d**3 - 3*d**2
Let j(n) = -2*n + 3 - 2*n + 3*n. Suppose 0*u = -2*o - u + 40, -2*o + 2*u + 52 = 0. Let w(r) = o - r + 2*r - 6*r - 6. Determine -11*j(z) + 2*w(z).
z - 1
Let k(v) = 3*v - 9. Let o(u) = u - 4. Let g = 65 - 60. Calculate g*o(c) - 2*k(c).
-c - 2
Let y be (3 - 8)*9/15. Let q(v) = ... | {
"pile_set_name": "DM Mathematics"
} |
nded to 2 dps?
-0.56
Let w be (0 - (2 + -2))*(-17)/34. Suppose w = -64*h + 8*h + 7464800. Round h to the nearest ten thousand.
130000
Let k = -13.7069 - -13.707049353. Round k to 5 dps.
0.00015
Let m = -2135.012 - -2128. What is m rounded to the nearest integer?
-7
Suppose -26115 = 5*f - 15*u + 10*u, -2*f - 10431 = 3*u... | {
"pile_set_name": "DM Mathematics"
} |
t from {l: 4, z: 2, r: 1, w: 5, i: 4}. What is prob of picking 1 r and 2 z?
1/560
What is prob of picking 1 d and 1 w when two letters picked without replacement from wcebdwbddeuddwbee?
15/136
Two letters picked without replacement from yyyyeygyegyyyagegg. Give prob of picking 2 e.
1/51
Calculate prob of picking 2 z wh... | {
"pile_set_name": "DM Mathematics"
} |
+ 10, -o*z - 6 = -3*t + z. Suppose -4 = -4*r + t. Solve r*w + 0*w + 1 = 3*u, -4*w - 4 = -4*u for w.
-2
Let t be ((-36)/(-16))/((-6)/(-16)). Let w(r) = -r**3 - 5*r**2 - 6*r - 5. Let o be w(-4). Suppose -o*i = -t*i + 12. Solve -s + 1 = -j, j - 3*j + 4*s = i for j.
0
Suppose 0 = 4*b + 2*t, b - 17 + 6 = 5*t. Let x(h) = -1... | {
"pile_set_name": "DM Mathematics"
} |
y**2
Collect the terms in -785*s + 225 - 1641*s - 223.
-2426*s + 2
Collect the terms in 9*f**3 + 530907*f**2 - 96 - 530907*f**2 + 0*f**3 + 96.
9*f**3
Collect the terms in 3*d**2 + 7 - 15*d**2 - 14*d**2 - 4 + 19*d**2.
-7*d**2 + 3
Collect the terms in 56731*c**2 + 58196*c**2 + 58188*c**2 - 173121*c**2.
-6*c**2
Collect th... | {
"pile_set_name": "DM Mathematics"
} |
= g - 3, -4*g - 8 = 61*j - 59*j for j.
2
Solve 2378*p = -n + 2374*p - 18, -3*n = -p - 11 for n.
2
Solve 0 = -5*i + m - 23, 2*m = -2*i + 340398 - 340400 for i.
-4
Solve 5*p + 5 = 7*q, -2*q = -53*p + 48*p - 5 for p.
-1
Solve -51 + 37 = 2*h - 4*w, 0 = -5*w + 15 for h.
-1
Solve 2*a + 21 = 417*t - 414*t, 0 = -5*a - 4*t + 28... | {
"pile_set_name": "DM Mathematics"
} |
. Let l(w) = 59105*w. Determine r(l(c)).
2541515*c
Let l(i) = -i**2. Let w(o) be the second derivative of -15*o + 0*o**4 + 0 + 0*o**3 + 1/30*o**5 + 6*o**2. Let p(f) be the first derivative of w(f). Give p(l(u)).
2*u**4
Let a(x) = 2602*x. Let z(r) = -87*r**2 - r + 5. Determine a(z(k)).
-226374*k**2 - 2602*k + 13010
Let ... | {
"pile_set_name": "DM Mathematics"
} |
z**3 - 4*r**2*z**3 wrt r?
-6*i**3*z**2 - 8*z**3
What is the derivative of -34*n**3*y - 13*n**3*z + n**3 + n**2*y*z - 2*n**2*z wrt y?
-34*n**3 + n**2*z
Find the third derivative of -48*a**3 - 349*a**2 wrt a.
-288
Differentiate 13*a*m*w**2 + a*m*w - a*m - 2*a*w - 2*a + 5*m with respect to w.
26*a*m*w + a*m - 2*a
What is ... | {
"pile_set_name": "DM Mathematics"
} |
b(f) = f**2 + 2*f - 11. Let w be b(-5). Suppose -a + w = -0*a. Factor -t**5 - 5*t**3 + 5*t**3 - 2*t**a + t + 2*t**2.
-t*(t - 1)*(t + 1)**3
Let x(k) be the third derivative of k**7/210 + 13*k**6/60 + 3*k**5 - 25*k**4/3 - 2000*k**3/3 + 34*k**2. Find d, given that x(d) = 0.
-10, 4
Let j(q) = 7*q**3 - 13*q**2 - 11*q + 31.... | {
"pile_set_name": "DM Mathematics"
} |
-15)/12). What is the second smallest value in p, 2, -2, c?
-2
Let k = 2213.3 - 2213. Which is the third biggest value? (a) 3/5 (b) -7 (c) -0.1 (d) k
c
Let u = -4979/5 + 29869/30. Let y(j) = j**2 - 4*j + 3. Let k be y(3). Which is the biggest value? (a) 17 (b) -3 (c) k (d) u
a
Let o = -6 - -5.6. Let t be (-364)... | {
"pile_set_name": "DM Mathematics"
} |
2, v, f in ascending order.
v, f, 2
Let g = -3 + 113. Let i = -12 - 787/8. Let y = g + i. Put 1/6, y, 0.2 in increasing order.
y, 1/6, 0.2
Let p be (-36)/7 + 5/35. Put -1, 1, p in descending order.
1, -1, p
Let w = -8 - -3. Let m = -5 - w. Put m, -3, -4 in decreasing order.
m, -3, -4
Let h be 60/33 - 8/(-44). Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
, 3?
-1/5
Let z be -8*4/16*-5. Suppose 6*y = z*y - 16. What is the biggest value in y, 1/2, -4/7?
y
Let g = 4.6 - 4.4. Let y = 0 + 0. What is the smallest value in y, g, -4?
-4
Let o = -8.64 + 0.04. Let j = -12 + 21. Let y = j + o. What is the biggest value in 0.2, y, 3?
3
Let s = 0.095 - -0.005. Let d = 16.3 + -3.3. L... | {
"pile_set_name": "DM Mathematics"
} |
n base 9, what is -125543 - 2?
-125545
In base 9, what is 0 - 481?
-481
In base 10, what is -2 + 58395?
58393
In base 13, what is b4 + 17c0?
18a4
In base 5, what is 10 + -10042033?
-10042023
In base 13, what is 30 + -33a0?
-3370
In base 8, what is 107 + 1201?
1310
In base 13, what is 1 - -b8135?
b8136
In base 2, what i... | {
"pile_set_name": "DM Mathematics"
} |
he terms in -4*t**3 + 6*t**3 - 6*t**3.
-4*t**3
Collect the terms in -4 - d**3 + 2*d**3 - 3.
d**3 - 7
Collect the terms in -2 + 82*n**2 - 55*n**2 + 2.
27*n**2
Collect the terms in -5288 + 5288 + 3*y.
3*y
Collect the terms in -8*h**2 + h**2 + 4*h**2.
-3*h**2
Collect the terms in 25 + 7*d**2 - 48 + 23.
7*d**2
Collect the ... | {
"pile_set_name": "DM Mathematics"
} |
Find the common denominator of -1/576580 and -91/9988.
6342380
Find the common denominator of 107/211500 and -179/33300.
7825500
What is the common denominator of 13/23064 and -85/1418064?
43959984
Calculate the common denominator of 49/355788 and -65/4244.
377491068
What is the least common multiple of 14196375 and 2... | {
"pile_set_name": "DM Mathematics"
} |
b
Suppose -25 = -x - 34. Let u be (-12)/x*6/(-20). Let q = 21.061 - 0.061. Which is the closest to u? (a) q (b) 0.3 (c) 4
b
Let n = -226.97 + 227.17. Which is the closest to 0.03? (a) -128 (b) n (c) 5
b
Let h = 13663 - 13658. Which is the nearest to -2? (a) 1 (b) 414 (c) 2/3 (d) h
c
Let z be ((-42)/15)/7 - 3... | {
"pile_set_name": "DM Mathematics"
} |
= f**3 - 2*f**2 - 4*f - 1. Give s(3).
-4
Let r(h) = h**3 - 17*h**2 + 32*h - 18. What is r(15)?
12
Let c(t) = t**3 - 9*t**2 - 12*t + 8. Calculate c(10).
-12
Let n(d) = -11*d**2. Calculate n(-1).
-11
Let m(c) = c**2 + 20*c + 105. Give m(-13).
14
Let l(x) = x**2 - 14*x + 36. Give l(11).
3
Let v(x) = x**3 - 15*x**2 - 17*x ... | {
"pile_set_name": "DM Mathematics"
} |
2 - 1 - (5 + -3). Suppose -4 = -4*f + c, -4*f - 8 = -6*c + 2*c. Let h(y) = -35*y. Let g(u) = -7*u. Let r(i) = f*h(i) - 11*g(i). What is r(v)?
-7
Let j(r) = -2*r + 5*r**2 + 23*r**3 - 22*r**3 - r. Determine j(-6).
-18
Let s(y) = 2*y**3 - y**2 + y. Let z(n) = -5*n**3 - 2*n**2 + 4*n + 6. Let b(g) = -2*s(g) - z(g). Determi... | {
"pile_set_name": "DM Mathematics"
} |
452?
567
What is next in -180, -358, -532, -702?
-868
What comes next: -175, -358, -541, -724, -907?
-1090
What is the next term in 215, 209, 203?
197
What comes next: -42, -103, -164, -225, -286, -347?
-408
What comes next: -36, -69, -102, -135, -168?
-201
What is next in -380, -392, -404, -416?
-428
What comes next:... | {
"pile_set_name": "DM Mathematics"
} |
5. Let w(y) = -1361*y - 2 - 1 + 1357*y. Let b(z) = -6*p(z) - 10*w(z). Determine g(b(j)).
-32*j**2 + 140*j
Let z(l) be the first derivative of -219*l**2/2 - 5189. Let i(n) = -4*n. What is i(z(u))?
876*u
Let i = 9 + -12. Let v(x) = -x + 6. Let a(l) = -2*l + 20. Let k(p) = i*a(p) + 8*v(p). Let m(g) = 2*g. Give m(k(o)).
-... | {
"pile_set_name": "DM Mathematics"
} |
ms in 79*z - 281*z + 213*z + 182*z + 25*z.
218*z
Collect the terms in 31246*p + 0 + 13635*p + 0 - 11465*p.
33416*p
Collect the terms in -2*n + 4*n - 3395*n**2 - 29*n**3 - 2*n + 3392*n**2.
-29*n**3 - 3*n**2
Collect the terms in -m + 1361 - 6531 - 825 - 3416 + 0*m.
-m - 9411
Collect the terms in 285*p - 3 + 5 - 2 - 1067*... | {
"pile_set_name": "DM Mathematics"
} |
digit of i?
1
Suppose 8 = f - 3. What is the units digit of f?
1
Suppose -2*c + 24 = -14*c. Let r(s) = -23*s**2 + s. Let g be r(-1). What is the units digit of 4/3*g/c?
6
Let v(u) = u**3 - 5*u**2 + 7*u + 1. What is the tens digit of v(5)?
3
Suppose -5 + 15 = 4*a + 2*x, -4*x = -4. Suppose y = a + 14. What is the units ... | {
"pile_set_name": "DM Mathematics"
} |
w) be the third derivative of -w**5/120 + 5*w**4/24 - w**3/6 + w**2. Let x(q) be the first derivative of t(q). Calculate x(-4).
9
Let t(p) = 4 + 1 + p - 4*p - 6 - p**2. Calculate t(-5).
-11
Let b = -7 + 13. Let c(a) = -a**3 + 6*a**2 - 3*a + 9. Calculate c(b).
-9
Let o(r) = -4*r**2 - 4*r**2 + 17 - 9 - 2*r - 9. Calculate... | {
"pile_set_name": "DM Mathematics"
} |
?
17/4
What is (-28)/8*(-137)/((-822)/(-36))?
21
Evaluate (((-2)/7)/((-32)/56))/(((-12903)/180)/(-253)).
30/17
What is the value of (((-288)/(-42))/(-16))/((-36)/42)?
1/2
What is the value of 1323/(-378)*(-130)/(-7)?
-65
What is the value of ((-2)/(-1))/2*(-101)/808*344?
-43
Evaluate 2798/6995*(-75)/(-24).
5/4
What is ... | {
"pile_set_name": "DM Mathematics"
} |
16.
16
Let w(l) = -6*l + 356. Let m be w(47). What is the highest common factor of m and 962?
74
Suppose 65*b + 1705 = 70*b. What is the greatest common divisor of b and 62?
31
Let g = 0 + 3. Suppose g*t - 660 = -0*t. Suppose -4*x + 0*x = -t. What is the greatest common factor of 5 and x?
5
Let u be 0 + 0 - (1 - 3). Su... | {
"pile_set_name": "DM Mathematics"
} |
*v + 3. Let r be q(4). Suppose 4*y - 800 = -5*t + r, 2*t - 5*y = 316. Is t prime?
True
Suppose 3*q - 6*q = 15. Let w(b) = -5*b**2 - 2*b - 9. Let o(h) = -6*h**2 - h - 10. Let u(y) = 3*o(y) - 4*w(y). Is u(q) a composite number?
False
Let x(l) = l**3 - 13*l**2 - 13*l - 12. Let f be x(14). Suppose -7 = f*k - d - 23, 44 = 4... | {
"pile_set_name": "DM Mathematics"
} |
53725450?
50
Calculate the greatest common factor of 1133290 and 29030.
10
Calculate the greatest common factor of 49734890 and 40.
10
Calculate the highest common divisor of 255335 and 76489.
223
What is the highest common factor of 312552 and 19548?
108
What is the highest common divisor of 2 and 1048412?
2
What is t... | {
"pile_set_name": "DM Mathematics"
} |
- 4*x**2 + 20*x + 3)*(-3*x + 5*x + x).
324*x**5 - 243*x**3
Expand ((3 - 1 + 0)*(2 - 2 - 2*z) + 2*z + 0*z - 3*z - 5*z - z + 2*z + 5*z + z - 2*z + 3*z - 3*z - 2*z)*(-2*z + 2*z + 2*z).
-14*z**2
Expand 0*v**3 + 2*v**3 - 3*v**3 + (2*v**2 + 0 + 0)*(6*v + 0*v + 0*v).
11*v**3
Expand (0*t + 3*t - 4*t)*(-893 + 36*t + 229*t + 891... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 0*q = -3*q + 15, 3*k + 2*q - 13 = t. Which is the second biggest value? (a) k (b) 0.2 (c) -0.4
b
Let g be (-2)/((-2 + -16)/(-2)). Which is the second smallest value? (a) -0.1 (b) 2/9 (c) g
a
Let i = 10.7 - -2.3. Let t = -12.8 + i. Let l = 2.5 + -2. What is the smallest value in t, 0.4, l?
t
Let v = 0.041... | {
"pile_set_name": "DM Mathematics"
} |
or of 10440 and 65235600?
360
Calculate the greatest common divisor of 182372 and 407162.
254
Calculate the highest common factor of 30744 and 8389208.
488
Calculate the greatest common factor of 537 and 219413546.
179
What is the highest common factor of 365 and 2008814?
73
What is the greatest common divisor of 23824... | {
"pile_set_name": "DM Mathematics"
} |
d(v(y)).
36*y**2
Let o(i) = 0*i**2 - 7*i**2 - 6*i**2. Let k(z) = -z. Let j(s) = -8*s. Let q(c) = j(c) - 6*k(c). Calculate o(q(m)).
-52*m**2
Let t(s) = 5*s**2. Let j(m) = 2091*m - 1. What is j(t(z))?
10455*z**2 - 1
Let d(b) = -b. Let f(y) = 2224*y. Give f(d(n)).
-2224*n
Suppose 2*p - 7 + 3 = 0. Let u(d) = -d - p*d + 7*... | {
"pile_set_name": "DM Mathematics"
} |
ulate the highest common divisor of 38 and h.
38
Let j(h) = h**2 + 24*h + 452. Let v be j(-26). Calculate the highest common factor of v and 2583.
63
Let w be 7/(1144/(-80) + 15). What is the greatest common divisor of 4050 and w?
10
Suppose -3*d = -5*q - 4*d + 14, 0 = -2*q - 3*d + 16. Suppose 87 = q*s - 5*h, -4*h - 48... | {
"pile_set_name": "DM Mathematics"
} |
n is positive.
n**(5279/91)
Simplify (b**(1/67)/b*b*b*b*b**(-1/46)*b/b**(1/29)*b*b**(7/4)/b*b)**(-22) assuming b is positive.
b**(-11225115/89378)
Simplify (g**(2/29)*(g/(g**(4/15)/g))/g*(g*g*g**15*g)/(g*g*g/(g/g**5)*g))**(6/19) assuming g is positive.
g**(9398/2755)
Simplify (m/(m**(-1/3)/m))**48*m/m**(-6/11)*m*m*m**(... | {
"pile_set_name": "DM Mathematics"
} |
822000000
What is -209.0041 rounded to the nearest integer?
-209
Round -0.0017496848 to 5 decimal places.
-0.00175
What is 1544.5484 rounded to the nearest 100?
1500
Round 0.01249587 to three decimal places.
0.012
Round -9447110 to the nearest 1000000.
-9000000
What is 10.43953 rounded to 1 decimal place?
10.4
Round -6... | {
"pile_set_name": "DM Mathematics"
} |
+ 32. Is n a composite number?
False
Suppose -3*m + 2780 + 1075 = 0. Suppose -5*p - 1285 = -5*d, -2*d = -7*d + 4*p + m. Is d a composite number?
False
Let x(w) = -6*w**2 - w**3 - 3*w**3 + 3*w + 1 + 5*w**3. Let l = 10 - 4. Is x(l) composite?
False
Suppose 88414 = 6*y + 28612. Is y a composite number?
False
Let x(q) = 22... | {
"pile_set_name": "DM Mathematics"
} |
Let l(h) = -7*h - 6. Let f be l(7). Let b = 55 + f. Which is smaller: 1 or b?
b
Let t(x) = x**3 + 9*x**2 + 13*x + 5. Let y be t(-13). Let s be 7/(196/16) + 459/y. Is -1 less than or equal to s?
True
Let r = 0.031 - -0.969. Let h = -191/5 + 38. Which is smaller: r or h?
h
Let a(g) = -14*g - 76. Let u be a(-11). Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
Give prob of sequence tww.
1/56
Calculate prob of sequence bnb when three letters picked without replacement from {b: 3, n: 11, w: 2, j: 3}.
11/969
Calculate prob of sequence pacc when four letters picked without replacement from {l: 1, a: 1, z: 4, p: 3, c: 4}.
3/1430
Calculate prob of sequence qxb when three letters ... | {
"pile_set_name": "DM Mathematics"
} |
lue? (a) 2/37 (b) 18 (c) 0
a
Which is the biggest value? (a) 1 (b) -10 (c) 0.2 (d) -0.4
a
What is the biggest value in -2/11, -3, 5, 0.245?
5
What is the fourth smallest value in -0.4, -0.1, 0.4, 13?
13
What is the third smallest value in 62, 4, 5?
62
Which is the second smallest value? (a) -3/4 (b) -0.1 (c) ... | {
"pile_set_name": "DM Mathematics"
} |
- f. List the prime factors of h.
2, 3
Let q(i) = -i**2 + 14*i - 11. List the prime factors of q(6).
37
Suppose 2*m + 3*p = 73, -4*p + 136 = 4*m - 0*p. Let d = m - 12. Suppose d = 4*y - 23. List the prime factors of y.
2, 5
Let t(v) = v**3 + v**2 - 7*v - 13. List the prime factors of t(6).
197
Suppose -2*d + 36 = z - 0... | {
"pile_set_name": "DM Mathematics"
} |
e -2*g - 7 = -3*p, 0*g - l*p + 27 = 3*g. Solve -4*i + 6 = 8*s - 6*s, -9 = g*s + i for s.
-3
Suppose -30 = -5*o + 3*h, -6*h + 4*h = 5*o - 30. Let y be (-16)/o*(-9)/2. Let v be -3*8/y*-2. Solve -d = -3*z + 11, -5*z + 9 = -v*d - 0*d for d.
4
Suppose 2*w - 2*g = -3*w + 45, -w = -g - 12. Let m = w - 3. Solve -m*y + 3*r + 20... | {
"pile_set_name": "DM Mathematics"
} |
actor of b?
False
Let s be (-46)/(-14) - 2/7. Suppose 7*u = s*u + 72. Does 3 divide u?
True
Suppose 4*h = -5 + 1, -2*b + 4*h - 12 = 0. Does 3 divide 2*((-18)/b + (-3)/(-4))?
True
Let m = 81 - 130. Let c = m + 82. Let b = c + -16. Is 17 a factor of b?
True
Suppose -3*k - 10047 = -3*t, -58*k + 54*k + 10040 = 3*t. Does 62... | {
"pile_set_name": "DM Mathematics"
} |
0*a**2.
-5*a**3
Collect the terms in -5167*m**2 - 5232*m**2 + 10354*m**2.
-45*m**2
Collect the terms in -51*f - 26*f + 32*f - 63*f - 2.
-108*f - 2
Collect the terms in 16476*p**3 + 5*p**2 - 5*p**2.
16476*p**3
Collect the terms in -22 + 15*o**2 + 0*o + 65 - 46 + 0*o.
15*o**2 - 3
Collect the terms in -8*m**2 + 11*m + 9*m... | {
"pile_set_name": "DM Mathematics"
} |
h(w) = -w**3 + 6*w**2 + 4*w + 2. Give h(r).
26
Let q = -4 + 9. Let s(n) = -3 + q - 6 + 5*n + 2*n**2 + 5. Calculate s(-4).
13
Let q(m) = m + 11. Let v be -12*(3/(-2))/((-9)/(-3)). Suppose 0 = 2*p - 3*s + 16, p + s + v + 2 = 0. Determine q(p).
3
Let l be (-2)/(-6) + 40/6. Let t(p) be the third derivative of 0 + 1/4*p**4... | {
"pile_set_name": "DM Mathematics"
} |
-0.5, 1
Sort -1/157, -1, 3, 0 in ascending order.
-1, -1/157, 0, 3
Sort -0.07, -1/2, 2/11, -11 in descending order.
2/11, -0.07, -1/2, -11
Put 2, 3, -12, -0.1, -0.04 in ascending order.
-12, -0.1, -0.04, 2, 3
Sort 2, -1, 4, 283, -5 in ascending order.
-5, -1, 2, 4, 283
Sort 16, 2, 4, -3 in ascending order.
-3, 2, 4, 1... | {
"pile_set_name": "DM Mathematics"
} |
Let k = 11 - 4. Let w(j) = -j**2 + 9*j - 3. Let u be w(k). Let x(y) = 2*y**2 + 3*y**2 - 4*y - 3 - 1. Let i(q) = 14*q**2 - 11*q - 11. Give u*x(h) - 4*i(h).
-h**2
Let v(q) = q**3 + 5*q**2 - 5. Let y(k) = -k**2 - 4. Let z(j) = 1. Let s(n) = 2*y(n) + 10*z(n). What is -5*s(d) - 2*v(d)?
-2*d**3
Let n(j) = 25*j**3 - 2*j**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
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