text stringlengths 270 8.19k | meta dict |
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**3/3 + 2*c**2. Let w be q(-6). What is the units digit of w/21*(-18)/8?
0
Suppose -37*g - 47*g + 7524804 = 0. What is the thousands digit of g?
9
Let z be 3 + 192/(-176) + (-1)/(-11). Suppose 5*q - 5798 = 2*j, q - 353 = -z*j + 809. What is the hundreds digit of q?
1
Suppose 4*u - 4*h = -24, 13 = 3*h + 1. What is the h... | {
"pile_set_name": "DM Mathematics"
} |
02/119)
Simplify (g*g**0)**(2/11)/(g*g*g*g/(g/(g/g**(-3)))*g**(-3))*(g**0/g*g/(g/(g**11/g*g)))**(-3/16) assuming g is positive.
g**(-501/88)
Simplify (f/f**(1/46))**(-2/3)/((f/f**(-4/9)*f)/f**(-4/5)) assuming f is positive.
f**(-4033/1035)
Simplify g/g**(1/13)*(g*(g**(-7)*g)/g)/g*g*g/(g/(g/g**(1/9)))*g**(-1/5)*(g/(g**9... | {
"pile_set_name": "DM Mathematics"
} |
309 microseconds to days.
0.0000000025504896875
How many years are there in 0.4385468 centuries?
43.85468
How many litres are there in 8350.346 millilitres?
8.350346
What is 8/25 of a micrometer in nanometers?
320
What is three tenths of a centimeter in micrometers?
3000
What is 0.8727211t in milligrams?
872721100
How ... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(12)))**2 - sqrt(28)) + sqrt(252)*-2*4 + ((sqrt(252) + 0 + sqrt(252) + sqrt(252))*2 - sqrt(252))**2)*-6.
-264792/7 + 300*sqrt(7)
Simplify ((sqrt(162)/sqrt(3))/sqrt(6) + (sqrt(9) - -1*sqrt(1089)))/((sqrt(33)*-3*3)/(sqrt(11) + -3*sqrt(891))).
338*sqrt(3)/9
Simplify 1*((sqrt(320) - sqrt(320)*1) + 2) + (2*sqrt(1000))/... | {
"pile_set_name": "DM Mathematics"
} |
- -100.4. What is i rounded to zero decimal places?
35
Suppose 0 = -d - 5*n + 27, 2*d - n - 1 = -d. Suppose 200 = 2*l - 2*q, -6*q + d*q + 279 = 3*l. Round l to the nearest 10.
100
Let p(w) = -w**3 + w**2 - 2*w + 2450. Let g be p(0). What is g rounded to the nearest one hundred?
2500
Let j = -9.53 + -0.57. Let h = -10.... | {
"pile_set_name": "DM Mathematics"
} |
5 - 67 + 42)*(2*t + 2 - 2) + (-1 - 1 + 0)*(-t + 2*t + 0*t) as a + v*t and give v.
-482
Rearrange (-1 + 1 + 2)*(0*p - p - 6*p)*(-234*p - 82 + 82) to w + x*p**2 + o*p and give x.
3276
Express 26*p**4 + 9*p - 2055*p**2 + 2*p**3 + 2036*p**2 - 37*p**4 + 12*p**4 in the form g*p**3 + d*p + b*p**2 + u + a*p**4 and give g.
2
Ex... | {
"pile_set_name": "DM Mathematics"
} |
b) = b. Suppose 8 = 3*t - 5*v, 85*v - 6 = -4*t + 87*v. Determine t*m(l) - 6*i(l).
l + 2
Let v(r) = -13*r**2 - r + 6. Let g(b) = -67*b**2 - 5*b + 33. Give -4*g(p) + 22*v(p).
-18*p**2 - 2*p
Let d(r) = r + 1. Let y(g) = 5*g + 59. Give 3*d(q) - y(q).
-2*q - 56
Let h(u) = 12. Suppose -50*x - 58 = 8*x. Let d(q) = q + 1. Give... | {
"pile_set_name": "DM Mathematics"
} |
-2*l - 152. What is the least common multiple of c and q?
54
Suppose -8*w + 9*w = s - 192, -2*w = -4*s + 762. Calculate the least common multiple of 147 and s.
1323
Let k(y) = -y**3 + 7*y**2 + y + 5. Let p be k(4). Let o = p - 16. What is the smallest common multiple of 8 and o?
328
Let t(q) = -q**2 + 10*q - 22. Let m... | {
"pile_set_name": "DM Mathematics"
} |
arest 1000?
3000
What is -0.000005674 rounded to six decimal places?
-0.000006
Round 0.062616 to 4 dps.
0.0626
What is -1845.1 rounded to the nearest one hundred?
-1800
What is 10948 rounded to the nearest one thousand?
11000
What is -458300 rounded to the nearest 100000?
-500000
Round -3208000 to the nearest one hundr... | {
"pile_set_name": "DM Mathematics"
} |
d the third derivative of k(b) wrt b.
-4782
Let q(c) be the first derivative of 3793*c**4/4 + 484*c - 2105. Find the first derivative of q(y) wrt y.
11379*y**2
Let x(l) = -9*l**2 + l - 35. Let c(k) = k - 11*k**2 - 3 - 10 + k - 17 - 5. Let r(m) = -3*c(m) + 4*x(m). Differentiate r(w) with respect to w.
-6*w - 2
Let h(b) ... | {
"pile_set_name": "DM Mathematics"
} |
ive of 225*a*d**2*p + 3*a*d*p**3 + 2*d**2*p**2 + 2*d*p**3 wrt a.
225*d**2*p + 3*d*p**3
Find the second derivative of 22884*l**2 + 19166*l.
45768
Find the second derivative of -n**5*z + 4560*n**3*z**3 + 1006*n*z**3 - 2*z**3 - 2*z**2 wrt n.
-20*n**3*z + 27360*n*z**3
What is the derivative of 30*h**2*v + h**2 - 32*v wrt h... | {
"pile_set_name": "DM Mathematics"
} |
rt i?
180*i**2 + 576
Let i(x) = -1593*x - 1089. Let k(y) = 199*y + 136. Let w(p) = 4*i(p) + 33*k(p). What is the derivative of w(s) wrt s?
195
Let q(r) be the second derivative of -248*r**6/15 + 35*r**4/12 + 9*r**2/2 + 429*r. What is the third derivative of q(w) wrt w?
-11904*w
Suppose -4*a = -25 + 1. Suppose 5*x + 29 ... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 33*m - 28*m - 10 = 0. Let p be w(m). Solve p = z - 5*d + 6, 0*z - 4*d = 5*z - 28 for z.
4
Let g be 5*6*(-22)/(-30). Suppose z + z = -4*f + g, -4*z + 12 = 0. Solve 0*m - 4*n + 4 = f*m, -n = -5*m + 29 for m.
5
Let m = -19 + 21. Suppose 2*n - 5*b = -12, m*n + 0 = b + 4. Solve -f + 1 = 2*g, 0 = -5*g + n*g - 2*f - 7... | {
"pile_set_name": "DM Mathematics"
} |
-24*sqrt(2) + 76
Simplify ((sqrt(143) + 1*(sqrt(143) - (sqrt(143) + sqrt(143) + sqrt(143)*2 + sqrt(143))) + sqrt(143))/sqrt(11) - ((-1 + sqrt(52))*-5 - sqrt(52)))**2.
-100*sqrt(13) + 1325
Simplify (5*(-1*-2*sqrt(320)*2 - (4 + (-2*sqrt(320)*-4 - sqrt(320)))))**2.
4800*sqrt(5) + 72400
Simplify ((sqrt(153) + -2 + -3)*6 -... | {
"pile_set_name": "DM Mathematics"
} |
0 = 5*f - 3*y - 20 - q for f.
4
Let w(v) = 11*v**2 + 77*v + 3. Let z be w(-7). Suppose 5*j = z*j + 2*o, -o + 4 = 0. Solve 0*y = -3*y + 4*b + 3, j*y = 3*b + 11 for y.
5
Suppose -2712 = -55*k - 204*k - 80*k. Solve 5*c + k*o - 20 = 7*o, -3*c + 2*o = 1 for c.
3
Suppose 110*j = -71*j + 362. Solve 2*q - l - 1 = 4, j*q + l -... | {
"pile_set_name": "DM Mathematics"
} |
j. Solve -b = -d - 5*y, -18 = -5*d - 4*y + 2*y for d.
2
Let j(d) = d**2 - 2*d - 36. Let t be j(9). Suppose 6*r - t = -3*r. Solve -r*v = 3*x + 18, 5*v = x - 2*x - 22 for v.
-4
Let y(b) = -b**3 + 57*b**2 - 53*b - 164. Let n be y(56). Solve 32 = 4*k - 4*v, -8*k + n*k = 3*v + 10 for k.
2
Suppose 54*p = -p. Solve 3*j + u = ... | {
"pile_set_name": "DM Mathematics"
} |
q**2 - 3744*q - 2592 = 0. Calculate q.
-6, -3, -2, 18
Factor -36*a**4 + 445492*a**3 + 99000*a**2.
-4*a**2*(a - 12375)*(9*a + 2)
Find w such that -2*w**4/5 + 58*w**3/5 + 7052*w**2/5 + 6992*w/5 = 0.
-46, -1, 0, 76
Find m, given that -18*m**3 + 119631*m**2 + 99708*m - 19941 = 0.
-1, 1/6, 6647
Suppose -5*z**4/2 + 255*z**3/... | {
"pile_set_name": "DM Mathematics"
} |
*g = -2*g + 12, 3*h - 2*g + 3 = 0 for h.
1
Let o(j) = 3*j**2 - j - 1. Let l be o(-1). Let z = 9 + l. Suppose -7*u + 6*u + 3 = 0. Solve 0 = 4*c + u*y + 1 - z, 0 = 2*c - 4*y - 22 for c.
5
Let d = 2 - 0. Suppose -q = 4*j - 1, 3*q + 3*j + j = 3. Solve -4*n + d*a = 0, a + 0 = 3*n + q for n.
-1
Suppose -f - 8 = 3*f. Let x = ... | {
"pile_set_name": "DM Mathematics"
} |
divided by 152.
97
Calculate the remainder when 44872 is divided by 359.
356
What is the remainder when 159765 is divided by 634?
631
What is the remainder when 1708 is divided by 833?
42
What is the remainder when 865430 is divided by 171?
170
What is the remainder when 2344 is divided by 264?
232
Calculate the remain... | {
"pile_set_name": "DM Mathematics"
} |
1 prime?
True
Is 15307 a composite number?
False
Is 318077 a composite number?
False
Is 8161 a prime number?
True
Is 48417 a prime number?
False
Is 957071 a prime number?
True
Is 129242 prime?
False
Is 46601 composite?
False
Is 9089 a prime number?
False
Is 2098 a prime number?
False
Is 124171 prime?
True
Is 10757 a pr... | {
"pile_set_name": "DM Mathematics"
} |
4
Solve -17*y + 463 = 3*x - 60*y + 153, -5*x - 6*y - 27 = 0 for x.
3
Solve -233*v + 5*b = 2*b - 2*b - 1122, 3*v - 6*b - b + 26 = -8*b for v.
4
Solve 3*b = -4*i - 202, -11401*i - 104 = 2*b - 11406*i for b.
-62
Solve 6*u + 3*y = -201, u + 569181 - 568975 = -3*y for u.
1
Solve -7*k - 60 = -5*v - 8*k - 0*k + 6*k, 72 = -6*v... | {
"pile_set_name": "DM Mathematics"
} |
/440585079. Let f = 1171/3 - k. Which is bigger: f or 1?
1
Let c be (-680)/(-975) + 2/(-3). Let y = c - 144/455. Let f(t) = t**2 + 6*t - 5. Let w be f(-5). Which is greater: y or w?
y
Let b(c) = -2*c**3 - 17*c**2 + 8*c - 10. Let q be b(-9). Which is smaller: 1/40 or q?
q
Let d = 6156553/204 - 120739/4. Let i = -16/3 - ... | {
"pile_set_name": "DM Mathematics"
} |
c**2 - c + 5 - c - 207*c**2. Let y be 2/(-8) - 9/(-4). Let v(l) = -4*l**2 + l - 2. What is y*a(m) + 5*v(m)?
-2*m**2 + m
Let j(c) = 4*c - 1. Let t(v) = 7*v + 37. What is j(w) - t(w)?
-3*w - 38
Let r(l) = 65*l**2 + 40*l + 40. Suppose 2*c - 3*c + 40 = -6*a, 0 = 5*a. Let y(z) = -2*z - 5 - 3*z**2 - 2*z**2 + 2 - z. Determine... | {
"pile_set_name": "DM Mathematics"
} |
. What is the closest to -1 in -0.1, 0, s?
-0.1
Let j(v) = -v**2 - 2*v + 2. Let f be j(-3). Let u be 0 + (1 - 1) + f. Which is the closest to 0? (a) 1/7 (b) -0.1 (c) u
b
Suppose -s - 6 = -4*j + 5, 0 = -4*j - s + 5. Suppose 520 = j*x - 7*x. Let k be 4/(-18) - x/306. Which is the nearest to 1/3? (a) k (b) 3 (c) 2
a... | {
"pile_set_name": "DM Mathematics"
} |
in -2*i - 3*i - 4*i + 7*i.
-2*i
Collect the terms in 1 - 4*i**3 + i**3 + 0*i**3.
-3*i**3 + 1
Collect the terms in -3*w**3 - 27*w**3 - 12*w**3.
-42*w**3
Collect the terms in 777*g**3 + 4*g**2 - 4*g**2 - 780*g**3.
-3*g**3
Collect the terms in -57*v**2 + 108*v**2 - 55*v**2.
-4*v**2
Collect the terms in 6*k**3 + 4*k**3 - 5... | {
"pile_set_name": "DM Mathematics"
} |
be -3*(-1 - 0)*1. Suppose -3*r + 2*a = 0, -6 = -3*r + a - m. What is the derivative of 0 + 0*n**2 - n**r - 2 + 0*n**2 wrt n?
-2*n
Let w(t) be the second derivative of -17*t**6/15 - t**5/20 - 36*t**2 + 3*t + 5. What is the derivative of w(p) wrt p?
-136*p**3 - 3*p**2
Let c(u) be the first derivative of -3*u**4/4 + 10*u*... | {
"pile_set_name": "DM Mathematics"
} |
by 9.
4
Let d = -84 + 193. Let i = 47 - 32. Calculate the remainder when d is divided by 280/i*(2 - -1).
53
Let c(o) = 10*o**2 + 1. Let m be c(-1). Suppose -d + 81 = 2*a, 0 = -a - 3*d + 27 + m. Calculate the remainder when 161 is divided by a.
38
Suppose 15*n = -16*n - 93. Calculate the remainder when ((-42)/5)/(n*10/... | {
"pile_set_name": "DM Mathematics"
} |
8 + 5*h + 31 - 7*h**2. Let r(z) = 4*d(z) + 5*s(z). Differentiate r(o) wrt o.
-14*o + 9
Let t = 480 - 478. What is the third derivative of -573*n**t + 749*n**2 + 2*n**4 - 114*n**5 - 2*n**4 wrt n?
-6840*n**2
Let a(u) be the third derivative of 146*u**2 - 47/24*u**4 + 0*u - 20*u**3 - 1/30*u**5 + 0. What is the first deriv... | {
"pile_set_name": "DM Mathematics"
} |
3*q + 8*f**2*l**3 + 117839*f**2*l - 7*f*l**3*q + 272*f*q + 4*f - l**3 + 2*l**2*q wrt f?
2*l**3*q + 16*l**3 + 235678*l
What is the first derivative of -3*a**2 + 9309998*a*u**3 - 1171371742*u**3 wrt a?
-6*a + 9309998*u**3
What is the second derivative of 2136*n**3*z**2 + 22*n**3*z - 11*n**3 + 43*n**2*z**2 - 14*n**2*z + 2... | {
"pile_set_name": "DM Mathematics"
} |
*t
What is the third derivative of -684280*f**4 + f**2 + 1836140*f?
-16422720*f
Find the third derivative of -158*n*w**4 + 10*n*w**3 + 168*n*w**2 + n*w - 433*n + 154*w**3 - w**2 wrt w.
-3792*n*w + 60*n + 924
What is the third derivative of -281*o**4 + 200*o**3 - 16*o**2 + 7*o - 49 wrt o?
-6744*o + 1200
Find the first d... | {
"pile_set_name": "DM Mathematics"
} |
0*g**5 + w*g**2 - 6*g**2 - 5*g**2 wrt g?
600*g**2
Let j(p) = -p**3 - p - 2. Let c be j(-2). Suppose 5*h = 3*h + c. Find the first derivative of 2*o**3 + h + 2*o**3 - 2 wrt o.
12*o**2
Let n(b) be the first derivative of -2*b**3/3 + b**2/2 + 51*b + 7. Differentiate n(v) with respect to v.
-4*v + 1
Suppose 0 = 3*l + 1 + 5... | {
"pile_set_name": "DM Mathematics"
} |
ivide h?
True
Suppose -2*m - 5*i = -13, 0*m + 4*i = 4*m + 16. Does 37 divide 11 + 68 + 1 + m?
False
Suppose 0 = -h + 5 + 1. Does 8 divide (2/h + 1)*6?
True
Let q = 15 + -8. Let f(v) = 9*v**3 + v**2 + 7*v + 3. Let a(j) = -5*j**3 - j**2 - 4*j - 2. Let t(c) = q*a(c) + 4*f(c). Is 14 a factor of t(4)?
True
Let t(q) = q**2 +... | {
"pile_set_name": "DM Mathematics"
} |
(j))?
-12*j - 324
Let n(g) = 1293*g**2 - 3*g. Let p(a) = a. Calculate n(p(t)).
1293*t**2 - 3*t
Let w be 0/2 + -2 + 4. Let o(c) = -4*c**2 - 2*c + 2*c**2 + w*c. Let r(u) = -5*u**2. Calculate o(r(j)).
-50*j**4
Let y(o) = o**2. Let f(b) be the first derivative of b**4/24 - b**2 - 3. Let d(w) be the second derivative of f(w... | {
"pile_set_name": "DM Mathematics"
} |
t derivative of -9*j**4/4 + 13*j**2/2 + 5*j - 111. Let g(q) = -5*q**3 + 6*q + 3. What is -3*c(l) + 5*g(l)?
2*l**3 - 9*l
Let o(g) = 4*g + 7. Let t(r) = -r - 2. Let j(a) = -a - 7. Let p be j(-5). Let c be (-9)/(-54) + (-245)/30 + 1. Determine c*t(y) + p*o(y).
-y
Let a(n) = 4*n + 62. Let i(j) = -3*j - 63. What is 4*a(x) +... | {
"pile_set_name": "DM Mathematics"
} |
the first derivative of -r**3/2 - 45*r**2/2 - 87*r/2 - 72. Factor d(l).
-3*(l + 1)*(l + 29)/2
Let v(q) be the first derivative of q**4/18 - 4*q**3/9 + 8*q**2/9 - 17. Factor v(p).
2*p*(p - 4)*(p - 2)/9
Factor 166*m**2 + 8*m - 330*m**2 + 166*m**2 - 4*m - 2*m**3.
-2*m*(m - 2)*(m + 1)
Let i(l) = 27*l**4 + 96*l**3 - 87*l**... | {
"pile_set_name": "DM Mathematics"
} |
(42) + sqrt(42))/(sqrt(7) + ((sqrt(567) - sqrt(567)*1) + sqrt(7) - sqrt(7)))).
-9*sqrt(13)/5
Simplify (-6*-4*sqrt(140)*-1*-2)/((sqrt(252)*-1*1 - sqrt(252) - sqrt(252)) + sqrt(252) + (-1*sqrt(252) + sqrt(252))*1 + sqrt(252) + sqrt(252) + sqrt(252)).
16*sqrt(5)
Simplify (0 + sqrt(5) + 4 - (-2 + sqrt(20)/sqrt(4)))**2 + -2... | {
"pile_set_name": "DM Mathematics"
} |
losest to -0.2 in -1, r, 0.4?
0.4
Suppose 0*h = -6*h + 7*h. Let y be 0/(-1) + (-4)/14. Let u = 9 + -11. Which is the nearest to h? (a) y (b) 4 (c) u
a
Let p be (4 - 12/8)*-2. Let q be 5*-2*(-2)/p. Which is the closest to -0.4? (a) 3/7 (b) -1 (c) q
b
Let c = -0.12 + -4.38. Let p = c - -4.5. Let i = -91 - -818/9. W... | {
"pile_set_name": "DM Mathematics"
} |
the n'th term of 406217, 812333, 1218447, 1624559, 2030669, 2436777?
-n**2 + 406119*n + 99
What is the o'th term of -147998, -295986, -443974, -591962, -739950, -887938?
-147988*o - 10
What is the r'th term of 93263, 186521, 279779?
93258*r + 5
What is the d'th term of 13977, 8687, 3397?
-5290*d + 19267
What is the b'... | {
"pile_set_name": "DM Mathematics"
} |
-13062
Let o(h) = -1057*h - 168. Let a(p) = 1050*p + 172. Let g(m) = -6*a(m) - 7*o(m). What is the derivative of g(q) wrt q?
1099
Suppose 0 = 2*i + i - 6. Suppose -i*d + 28 - 10 = 0. Find the second derivative of -v**3 + 618*v + d*v**3 - 628*v wrt v.
48*v
Let q(t) be the first derivative of 0*t + 3/4*t**4 + 2*t**3 - 9... | {
"pile_set_name": "DM Mathematics"
} |
31700000 rounded to the nearest 1000000?
-132000000
What is 85.35 rounded to the nearest 10?
90
What is 0.00003117 rounded to six dps?
0.000031
Round -3251000 to the nearest 100000.
-3300000
Round 46539000 to the nearest one million.
47000000
Round -1844000 to the nearest 100000.
-1800000
What is -0.20054 rounded to 2 ... | {
"pile_set_name": "DM Mathematics"
} |
8*w**2 - 5*w**3 - 9 - y*w**3.
4*(w - 1)**3*(w + 1)*(w + 4)
Suppose -2/11*x**5 + 0 - 14/11*x + 16/11*x**3 - 12/11*x**2 + 12/11*x**4 = 0. Calculate x.
-1, 0, 1, 7
Solve 1083/4 - 57/2*i + 3/4*i**2 = 0.
19
Let p(s) be the second derivative of -s**7/280 + s**6/120 + s**5/10 - s**4/2 - 31*s**3/6 - 14*s. Let v(l) be the secon... | {
"pile_set_name": "DM Mathematics"
} |
alue? (a) y (b) -5 (c) x
c
Let f = 23 + -50. Let x = 107/4 + f. Suppose -5*z - 3*p - 3 = 3, -4 = -2*z + 2*p. Which is the second biggest value? (a) x (b) -4 (c) z
a
Let l = 40 + -40.012. Let p = l - 0.488. Let v = -0.7 - 3.3. Which is the smallest value? (a) -5 (b) v (c) p
a
Let p = -0.345 + 0.015. Let t = -0.... | {
"pile_set_name": "DM Mathematics"
} |
+ k*o**2. Let c(y) = 6*y. Determine c(d(n)).
-6*n**2
Let f(l) = l**2. Let t(q) = 4766*q**2 - 1927*q - 1. What is t(f(o))?
4766*o**4 - 1927*o**2 - 1
Let a(r) = r - 2. Let k(f) = 2*f**2 - 3*f + 6. Let m be (910/20)/(-13) + (-2)/(-4). Let u(t) = m*a(t) - k(t). Let s(c) = 7*c. Give s(u(x)).
-14*x**2
Let y(f) = -10*f**2. Le... | {
"pile_set_name": "DM Mathematics"
} |
1)/5
Let t be ((-6)/(-18))/(2/42). Suppose -t*i - 22 = -5*a - 3*i, -i = -a + 5. Factor -3/2*k**a + 0 + 3*k.
-3*k*(k - 2)/2
Suppose 22 = d + 5*c, -d + 4*d - 3*c = -6. Let b(r) be the second derivative of 1/2*r**4 + 2*r - 4/5*r**d - 4/15*r**3 + 0. Factor b(z).
2*(3*z - 2)*(5*z + 2)/5
Let p(c) = -3*c**4 - 4*c**2 + 4*c - 4... | {
"pile_set_name": "DM Mathematics"
} |
replacement from cczzzcczzczcccccccz. What is prob of sequence czzc?
77/1292
Calculate prob of sequence rrq when three letters picked without replacement from rqqrqrrr.
5/28
Three letters picked without replacement from qpqpw. Give prob of sequence qwq.
1/30
Four letters picked without replacement from {d: 5, p: 2, b: ... | {
"pile_set_name": "DM Mathematics"
} |
r of 9 and 41922?
9
Calculate the greatest common factor of 135 and 11145.
15
What is the highest common divisor of 75141 and 21384?
297
Calculate the greatest common divisor of 28251 and 11997.
387
What is the greatest common divisor of 169 and 18213?
13
Calculate the highest common divisor of 33 and 532048.
11
Calcul... | {
"pile_set_name": "DM Mathematics"
} |
*y = 12, 5*o - 16 = -y - 3*y for o.
0
Let u(m) = m**3 + 3*m**2 - 21*m + 1. Let d be u(-6). Suppose d*i = 14*i + 5. Solve -1 - i = -c, -1 = -q - 3*c for q.
-5
Let w(j) = -j + 21. Let d be 17/3 - 14/21. Let b be w(d). Suppose 3*f = -0*l - 2*l - 12, -4*f = -l + b. Solve 2*h - 3*c + 3 = -l*h, 0 = -2*c + 6 for h.
3
Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
5*m(f).
14*f**3 + 16
Let g(r) = 10*r**3 - 5*r**2 - 14*r + 10. Let m(l) = -l**3 + l**2 + l - 2. Determine -g(j) - 5*m(j).
-5*j**3 + 9*j
Let j(u) = -23*u**2 - 48*u. Let t(m) = -11*m**2 - 24*m. Determine 2*j(c) - 5*t(c).
9*c**2 + 24*c
Let p(n) = -n + 1. Let d(c) = 14*c - 30. Let j(g) = -27*g + 56. Let s(a) = -7*d(a) - 4*... | {
"pile_set_name": "DM Mathematics"
} |
1, r: 2, n: 1, f: 2}.
1/15
Calculate prob of picking 2 j, 1 g, and 1 b when four letters picked without replacement from ndndgjnbdnbbsjbdggnn.
4/1615
Three letters picked without replacement from nmomnmonnmmm. Give prob of picking 1 m and 2 o.
3/110
Calculate prob of picking 1 o and 1 r when two letters picked without... | {
"pile_set_name": "DM Mathematics"
} |
3*c**4 + 2*c**4 to r*c**4 + n*c**3 + k + w*c**2 + y*c and give r.
-3
Rearrange (-n - 3*n + 0*n)*(-17 - 19 - 29) to the form d + y*n and give y.
260
Rearrange 11*r**4 - 15 + 15 + (-2*r**2 + r**2 - r**2)*(-2*r**2 - 1 + 1) to the form c*r**4 + b*r + w + d*r**2 + o*r**3 and give c.
15
Express (-10*i - 16 + 16)*(-2 - 3 + 3... | {
"pile_set_name": "DM Mathematics"
} |
(2*m - m - 2*m)*(1 + 2 + 2)*(-m**2 - 3*m**2 + 5*m**2).
-5*m**3
Expand (-22 + 0 - 15)*(0 + 2*z + 2 - 1).
-74*z - 37
Expand -3*m**5 + 2*m**5 - m**5 + (0*m**4 + 2*m**4 + 0*m**4)*(-26*m + 53*m + 14*m) + (0 - m**2 + 0)*(-m**3 + 4*m**3 - 4*m**3).
81*m**5
Expand (-21 - 28 + 29)*(3*c - 3*c + c**3 - c).
-20*c**3 + 20*c
Expand (... | {
"pile_set_name": "DM Mathematics"
} |
-23.83, -5, -2, 1, 988
Sort 6, -10059, -79, 1, -3 in decreasing order.
6, 1, -3, -79, -10059
Sort 1/4, -4/3, -1, 0.3, 4553, 0.2.
-4/3, -1, 0.2, 1/4, 0.3, 4553
Put -8, 0, -18588, 0.1 in ascending order.
-18588, -8, 0, 0.1
Put 1, 31, 0, 4, -4, 286, -5 in ascending order.
-5, -4, 0, 1, 4, 31, 286
Put -87, -12, 134, 141.3 ... | {
"pile_set_name": "DM Mathematics"
} |
. Let m = d - -281. What is the greatest common divisor of 16 and m?
16
Let v be (32/(-120))/(2/5)*-6. Suppose -l = 4*g - 2*g - 182, v*g = 4. What is the greatest common factor of 144 and l?
36
Let d(n) = 23*n + 23. Let t be d(-1). Let a be (5 + t)/(272/24 - 11). What is the highest common divisor of a and 30?
15
Let g... | {
"pile_set_name": "DM Mathematics"
} |
- 152*l + 36422
Let i(j) = -17*j. Let v(s) = 34*s**2 + 9. Let t(c) = -16*c**2 - 4. Let u(y) = 13*t(y) + 6*v(y). Let b(f) be the first derivative of u(f). Determine i(b(r)).
136*r
Let u(j) = j**2 - j - 1. Let b(v) = 6*v**2 - 3*v - 8. Let t(l) = b(l) - 3*u(l). Let m(d) be the first derivative of t(d). Let k(s) = 5*s**2. ... | {
"pile_set_name": "DM Mathematics"
} |
**5 wrt a?
360*a**2
Let t(z) = -23*z**3 + 3*z**2 + 5*z + 127. Let d(j) = 24*j**3 - 2*j**2 - 4*j - 128. Let a(f) = -3*d(f) - 2*t(f). What is the first derivative of a(q) wrt q?
-78*q**2 + 2
Let y = -1 + 5. Suppose y*b - c = 40, 0 - 2 = -2*b - 4*c. Differentiate -4*h + 3*h - b - 4 + 1 wrt h.
-1
Let o(n) be the first deri... | {
"pile_set_name": "DM Mathematics"
} |
, given that -16*v**3 - 6*v**4 + v**4 - 9*v**3 + 0*v**4 - 20*v**2 = 0.
-4, -1, 0
Let l = 66 + -261/4. Let t(y) be the first derivative of -l*y**2 - 5 - 1/12*y**3 - 9/4*y. Let t(x) = 0. What is x?
-3
Let f(i) be the first derivative of -2*i**3/9 + 7*i**2/2 - 10*i/3 - 140. What is j in f(j) = 0?
1/2, 10
Solve 6/11*q - 16... | {
"pile_set_name": "DM Mathematics"
} |
- 29 = -n. Is o a multiple of 6?
True
Let f = 18 + -14. Suppose z + 4*q - 15 = 0, -3*z - f*q = -127 + 42. Is 7 a factor of z?
True
Let m(z) = 23*z**2 + 80*z + 2. Is m(5) a multiple of 48?
False
Suppose 470 = 4*d - 1754. Is 20 a factor of (-3)/((-18)/d) + (-22)/33?
False
Let o = 9 - -2176. Does 23 divide o?
True
Let y ... | {
"pile_set_name": "DM Mathematics"
} |
6. Calculate the remainder when 32 is divided by j.
10
Let p(w) = 30*w**2. Let x be p(1). Let y(i) = -i**2 - 8*i - 5. What is the remainder when (64/(-10))/((-6)/x) is divided by y(-4)?
10
Let k(r) = -r - 5. Let b be k(5). Let s = -8 - b. Let z(h) = -h**2 + 3*h - 1. What is the remainder when s is divided by z(1)?
0
Ca... | {
"pile_set_name": "DM Mathematics"
} |
u.
5
Let r be (-60)/42*7/(-2). Suppose 0 = -r*y - s + 7, 5*y + 1 = 7*y + s. Solve 0 = 5*u - y - 3 for u.
1
Let t(a) = -5*a**3 + 12*a**2 + 5*a + 63. Let p(k) = 8*k**3 - 24*k**2 - 10*k - 125. Let q(u) = -3*p(u) - 5*t(u). Let l be q(-12). Solve l = f - 7 + 5 for f.
2
Let d(c) = -2*c**2 - 13*c + 22. Let g be d(-7). Solve ... | {
"pile_set_name": "DM Mathematics"
} |
8780169. Let k = p - 11/51. Calculate the common denominator of k and -71/44.
44
Let x(u) = -10577*u - 200918. Suppose 0 = -4*j, -2*j - 160 = -4*i - 0*i. What is the least common multiple of x(-19) and i?
360
Find the common denominator of -117/28 and (-6480)/10752*35/(-510).
7616
Suppose -4*b = -b + 2*l + 70, 5*l + 10... | {
"pile_set_name": "DM Mathematics"
} |
east as big as 9?
False
Let z = 45.54 - 45.14. Which is smaller: z or 0.157?
0.157
Let m = 87 - 102. Let r = 88 - 103. Is m smaller than r?
False
Let m be 12/2496*(-144776)/116 - -6. Which is greater: 0 or m?
0
Let u be 22*((-20)/35 - 1416/(-112)). Are 266 and u unequal?
True
Let t be 5 + 0 + 1421050/(-283100). Let j =... | {
"pile_set_name": "DM Mathematics"
} |
et x(f) be the third derivative of -13*f**6/40 + f**4/12 + f**3/6 + 8*f**2. Suppose 5*b = -2 - 3. What is the units digit of x(b)?
8
Let b be ((-4)/(-6))/(18/81). Suppose 599 = -b*p + 8*p - 4*l, 4*p + 5*l - 471 = 0. Let m = p + -84. What is the units digit of m?
5
Let t(a) = a**3 + 9*a**2 + 7*a - 3. Let g be t(-8). Wha... | {
"pile_set_name": "DM Mathematics"
} |
= 3*s - 26 for s.
-3
Solve 3*x = -64*k + 59*k + 5, 0 = 2*x + 5*k for x.
5
Solve 30*p + 2*b - 48 = 17*p, 20 = 3*p - 4*b for p.
4
Solve -5*a = -2*z + 30, 82*a - 3*z = 64*a - 87 for a.
-4
Solve 0 = 4*i - 4*m - 16, -4*i - 35 = m - 26 for i.
-1
Solve 3*b = -7*z + 2*z + 7, -18*b - z + 71 = 0 for b.
4
Solve -42 + 53 = -3*i +... | {
"pile_set_name": "DM Mathematics"
} |
se -5*m - 29 = -2*a, 6*a = a - 3*m + 119. Let k(x) = 6 - a - 53*x - 10*x. Is k(-11) a prime number?
True
Let c be 18723/6 + 2/4. Suppose 2*t = 5*h - c, -12 + 3 = 3*t. Is h composite?
True
Let u = -255 + -380. Let i = 277 + u. Is (-2 + -1)*i/6 a composite number?
False
Suppose -3*o + 3*p = 6, -o = -p - 2*p. Is ((-166)/(... | {
"pile_set_name": "DM Mathematics"
} |
inator of 41/7 and 41/5737.
40159
What is the lowest common multiple of 28 and 72?
504
What is the smallest common multiple of 294 and 252?
1764
What is the common denominator of 43/20 and 37/564?
2820
What is the lowest common multiple of 759 and 230?
7590
Find the common denominator of 95/24 and 109/42.
168
What is t... | {
"pile_set_name": "DM Mathematics"
} |
to 7 dps.
-0.000001
Let j = -17.73 + -0.27. Let d = j - -14. Let g = 4.000018 + d. What is g rounded to 5 dps?
0.00002
Let f = 3.56 + -3.9. Let t = 0.6 + f. Let v = 0.25999995 - t. What is v rounded to 7 dps?
-0.0000001
Let t = 8427751 + 283316. Suppose 10008969 + t = 4*x. Let u be (-3)/4 + x/12. Round u to the nearest... | {
"pile_set_name": "DM Mathematics"
} |
s -170998575 divided by 11?
-15545325
17 divided by -823608
-17/823608
166864004 divided by 8782316
19
-5624850 divided by 267850
-21
What is -13145220 divided by -22?
597510
What is -155067635 divided by 525653?
-295
Calculate -4 divided by 1278877.
-4/1278877
What is 6320774 divided by -2818?
-2243
What is -13779996 ... | {
"pile_set_name": "DM Mathematics"
} |
*v - 55/24*v**4 + 5*v**2 + 3 + 0*v**3. Find the second derivative of p(t) wrt t.
-172
Let g(i) = 1165*i**3 + 7*i - 4. Let b be g(1). Let a be -1*(1 - -9)/(-2). Find the third derivative of -23*d**5 - 1174*d**2 - 20*d**a + b*d**2 wrt d.
-2580*d**2
Let p be -6 + (-18)/(-4) + 7/2. Let f be (p - 0) + 8 + -5. Differentiate ... | {
"pile_set_name": "DM Mathematics"
} |
i = -3600 - -3496. Which is bigger: -74 or i?
-74
Suppose p - 4*y - 5 = 0, 4 = y + y. Suppose -p*i + 7*i = -12. Let b be (4/(-4 + i))/(4/58). Which is greater: -31 or b?
b
Let o = -3 - -3. Let w = -1466/29 + 546847/10817. Is o at least w?
False
Suppose -26 = 16*y - 74. Suppose 0 = y*c - 42 + 45. Which is smaller: 6/23... | {
"pile_set_name": "DM Mathematics"
} |
1
List the prime factors of 580190.
2, 5, 13, 4463
List the prime factors of 70896.
2, 3, 7, 211
What are the prime factors of 6643099?
1091, 6089
What are the prime factors of 9240409?
9240409
List the prime factors of 20460884.
2, 1213, 4217
What are the prime factors of 19448322?
2, 3, 3241387
What are the prime fac... | {
"pile_set_name": "DM Mathematics"
} |
et w(q) = q**2 + 4*q + 4. Let z be w(k). Let u(n) = -1 + n**2 + z. Let c(a) = 2*a. Calculate c(u(t)).
2*t**2
Let k(j) = -6*j. Let m(y) = -330*y. What is m(k(i))?
1980*i
Let d(y) = y. Let z(l) = -103*l + 55*l - 28*l**2 + 48*l. What is z(d(c))?
-28*c**2
Let w(v) = v. Let x be 19/3 - 5/15. Let m(g) = -7*g. Let n(s) = x*m(... | {
"pile_set_name": "DM Mathematics"
} |
f 32, 63, 94?
31*a + 1
What is the n'th term of 37, 68, 101, 136, 173?
n**2 + 28*n + 8
What is the p'th term of -115, -224, -339, -460, -587?
-3*p**2 - 100*p - 12
What is the p'th term of -3, 5, 13, 21, 29?
8*p - 11
What is the r'th term of -133, -134, -135?
-r - 132
What is the k'th term of 7, 21, 45, 79, 123?
5*k**2 ... | {
"pile_set_name": "DM Mathematics"
} |
) 0.02 (d) -18
a
What is the third biggest value in -3/23, -3/2, -0.7, 3/4, -0.1?
-3/23
What is the smallest value in 0.1, -25, 0?
-25
Which is the fourth biggest value? (a) -3/8 (b) -46 (c) -14 (d) 3
b
Which is the third smallest value? (a) 2/5 (b) -7/30 (c) -2/15
a
Which is the third biggest value? (a) 3 (b... | {
"pile_set_name": "DM Mathematics"
} |
4 - 12*h**2. Let s(k) be the second derivative of j(k). Calculate d(s(p)).
-10*p
Let d(t) = 15604*t**2. Let b(c) = 2*c. Determine d(b(o)).
62416*o**2
Let z(k) = -90621*k. Let h(s) = 2*s**2. What is h(z(n))?
16424331282*n**2
Let v(l) = -2*l**2. Suppose -6 = 2*j - 18. Let x(h) = 4*h + 2*h - 9*h + j*h. What is x(v(m))?
-6... | {
"pile_set_name": "DM Mathematics"
} |
0.1
Suppose -4*t - 10 = -8*g + 7*g, -4*t = 2*g + 4. Sort -7, -1, 0, t.
-7, t, -1, 0
Let u be (2/3)/(1/6). Suppose -3*h + 4*y - 15 = -3, u*h - 5*y = -15. Suppose 3*i + 4*b + 23 = h, 31 = -4*i - i - 3*b. Put -4, i, 1 in ascending order.
i, -4, 1
Let r = 18.9 - 17. Let h = r - 1.6. Suppose 0 = -4*k - 3*z + 26, 2*k - 2*z ... | {
"pile_set_name": "DM Mathematics"
} |
2*p**4 wrt p?
72*p**2
Let j = 3 + -1. What is the third derivative of 3*m**2 + 0*m**4 - m**j - 2*m**4 wrt m?
-48*m
Let m(f) be the second derivative of 8*f**7/21 + 5*f**3/2 + 17*f. What is the second derivative of m(t) wrt t?
320*t**3
Let j(b) be the third derivative of -b**6/720 - b**5/30 + b**4/6 + 6*b**2. Let l(x) ... | {
"pile_set_name": "DM Mathematics"
} |
3 + 0 + -9)/(-1). Suppose 0 = -27*u + 30*u + g. What is the smallest value in -1/4, 1/6, u, -2/105?
u
Let s be (-7 - -10) + 86/(-30). Let v = -5/4 - -11/4. Let n = 16214/3 - 5405. What is the third smallest value in n, v, s?
v
Let x = -5489 - -5509. What is the fourth smallest value in 5, 2, 30, x?
30
Suppose -7*f - 5 ... | {
"pile_set_name": "DM Mathematics"
} |
, d: 6}. Give prob of sequence vs.
1/66
What is prob of sequence qqq when three letters picked without replacement from xqxqqxxqqxxxqxxqqxq?
28/323
Three letters picked without replacement from enneneee. What is prob of sequence enn?
5/56
Two letters picked without replacement from ppxpaapxxpapa. Give prob of sequence ... | {
"pile_set_name": "DM Mathematics"
} |
- -4?
-13324532013
In base 9, what is 5 - -181806?
181812
In base 2, what is 1 + -111000000000101000101?
-111000000000101000100
In base 7, what is 11645 - 24552?
-12604
In base 5, what is 122 + -411312?
-411140
In base 14, what is 1355b2177 + 4?
1355b217b
In base 16, what is -3fca54d - -10?
-3fca53d
In base 13, what is... | {
"pile_set_name": "DM Mathematics"
} |
w(v) = 42*v + 42. Let u(s) = -18*a(s) + 5*w(s). What is the first derivative of u(r) wrt r?
-6
Suppose -z + i = 0, -5*z = -2*i + 4*i. Let t(d) be the first derivative of z*d**2 + 1/4*d**4 - 1 + 0*d**3 + 2*d. Differentiate t(f) wrt f.
3*f**2
Find the second derivative of -11*v**2 - 5*v - v + 3*v + 6*v**2 wrt v.
-10
Let... | {
"pile_set_name": "DM Mathematics"
} |
81/10 + -48/5. Sort 2/5, 3, z, 12/11 in decreasing order.
3, 12/11, 2/5, z
Let n = 6.3 - 6.308. Let m = -0.408 - n. Sort m, -3, -1, 0.2 in decreasing order.
0.2, m, -1, -3
Suppose f = 4*f. Suppose -2*y = 0, -3*y + 2*y = 4*b - 20. Suppose -5*q = -2*r + 14, -b*r + 12 = -0*q - q. Sort r, 5, f in ascending order.
f, r, 5
... | {
"pile_set_name": "DM Mathematics"
} |
2 - 6. Suppose 2*p = -2*p - s + 16, -p = -5*s + 17. Suppose -16 = -p*y - y. Give y*o(h) - l(h).
h + 2
Let k(g) = -4*g**2 + 5*g + 4. Let s(i) = 5*i**2 - 6*i - 5. Suppose -2*p - 7 = -3, 5*y - 2*p + 36 = 0. Let l be (-6)/y*(14 + -10). Determine l*s(f) + 4*k(f).
-f**2 + 2*f + 1
Let z(n) = -4*n + 286. Let c be z(0). Let r(v... | {
"pile_set_name": "DM Mathematics"
} |
l(3). Let w(n) = 5*n + 7. Let y(r) = 14*r + 20. What is c*y(a) - 17*w(a)?
-a + 1
Let t = -194 + 196. Let j(p) = p + 2 - 2. Let h(b) = -2*b. Determine t*j(o) + 2*h(o).
-2*o
Let a(i) = -i**3 - i**2 - i + 1. Let t(m) be the first derivative of 2*m**3/3 - 2*m + 13. Give 2*a(u) + t(u).
-2*u**3 - 2*u
Let r(j) = -2*j + 7. Le... | {
"pile_set_name": "DM Mathematics"
} |
s: 1}. What is prob of sequence sg?
1/20
Two letters picked without replacement from {q: 4, t: 3, a: 2}. What is prob of sequence at?
1/12
Calculate prob of sequence nn when two letters picked without replacement from unnuunn.
2/7
Three letters picked without replacement from {f: 1, d: 4, y: 2, k: 9}. Give prob of sequ... | {
"pile_set_name": "DM Mathematics"
} |
c(h) wrt h?
-60*h**3
Suppose -w = 4*w - 20. Let b(k) be the second derivative of 1/6*k**w + 0*k**3 - 2*k + k**2 + 0. Find the first derivative of b(c) wrt c.
4*c
Suppose d = -3*h - 10, 0 = 3*d - d - 3*h - 16. Suppose -4*c = -3*z - 12, -2*c + 5*z + 5 + 1 = 0. Differentiate c + v**2 + v**2 - 5*v**2 + v**d wrt v.
-4*v
Let... | {
"pile_set_name": "DM Mathematics"
} |
Let o(x) be the third derivative of -x**5/60 - x**4/3 + 8*x**3/3 + 276*x**2. Calculate o(-10).
-4
Let b(y) = -14*y**2 + 25*y + 363. Let d(r) = -17*r**2 + 22*r + 365. Let l(g) = 6*b(g) - 5*d(g). Give l(-13).
2
Suppose 9*i - 4*i = 0, -4*i - 12 = 4*f. Let x be (-23)/f + (2/1)/6. Let g be 5/(-2)*x/(-4). Let c(t) = t - 9. C... | {
"pile_set_name": "DM Mathematics"
} |
rob of sequence mim?
1/165
Two letters picked without replacement from nbeqeqbbqe. What is prob of sequence en?
1/30
Calculate prob of sequence uquu when four letters picked without replacement from {q: 7, u: 3, m: 4}.
1/572
What is prob of sequence zv when two letters picked without replacement from ivivioittiothttz?
... | {
"pile_set_name": "DM Mathematics"
} |
cement from {w: 1, m: 1, e: 2, k: 2}?
1/30
Calculate prob of sequence an when two letters picked without replacement from aanaanaaaaaa.
5/33
What is prob of sequence ye when two letters picked without replacement from {y: 4, x: 2, d: 1, e: 3}?
2/15
Two letters picked without replacement from mmmsmnmummnnmmnnmmmm. What ... | {
"pile_set_name": "DM Mathematics"
} |
ters picked without replacement from {o: 4}.
1
What is prob of sequence dc when two letters picked without replacement from {i: 6, c: 1, d: 3, h: 2, m: 3, e: 4}?
1/114
What is prob of sequence njsr when four letters picked without replacement from {s: 1, m: 1, j: 6, r: 3, n: 3, i: 6}?
3/6460
Calculate prob of sequence ... | {
"pile_set_name": "DM Mathematics"
} |
ue? (a) -8/3 (b) -28 (c) -0.013 (d) -0.02 (e) -3 (f) -0.1 (g) -1/18
f
Which is the seventh biggest value? (a) 0.3 (b) 5 (c) -0.3 (d) -55 (e) -0.4 (f) -3/290 (g) 4
d
What is the smallest value in 0.1, 51, 1/3, -1/56024, -0.1?
-0.1
What is the second biggest value in 2, 71, -2/19, 1, 0.02, 1/14, -2?
2
What ... | {
"pile_set_name": "DM Mathematics"
} |
composite number?
True
Let l(y) = 2*y**3 + 43*y**2 + 6*y - 262. Is l(29) prime?
False
Suppose 0*c = -5*g - c - 35, -5*g + 5*c - 65 = 0. Let j(p) = 287*p + 40. Let m be j(g). Is 5 - m/15 - 4/10 prime?
False
Let z = -3851 - -12111. Let o = 2019 + z. Is o prime?
False
Suppose 8*x - 73 = 359. Suppose -3*u - 72 = -x. Is 40... | {
"pile_set_name": "DM Mathematics"
} |
(x)).
-376*x**4 - 6*x**2
Let z(f) = f. Let n(a) be the first derivative of -a**5/24 + 4*a**3/3 + 3. Let g(h) be the third derivative of n(h). Calculate z(g(q)).
-5*q
Let f(p) = -3*p**2 + 2*p**2 + 2*p**2 - 3*p**2. Let i(z) = -z. Determine f(i(m)).
-2*m**2
Let v(c) = 4*c**2. Let g(z) be the second derivative of -z**3/3 -... | {
"pile_set_name": "DM Mathematics"
} |
+ -1961. What is the remainder when p is divided by 34?
31
Suppose 623 = 6*n + 1637. Let h = -125 - n. What is the remainder when 87 is divided by h?
43
Let v = -294 + 428. Suppose -3*n - v = -146. Let t = -12 - -18. What is the remainder when t is divided by n?
2
Suppose j = 4*b + 1001 + 696, 0 = 4*b + 3*j + 1693. Le... | {
"pile_set_name": "DM Mathematics"
} |
ve -2*y = 5*h + 29, 4*h - 3*y + 8*y = -30 for h.
-5
Solve -2*v = l - 8, -2*v + 3*l = -2 + 10 for v.
2
Solve -4*a = l + 24, -a = 6*l - 2*l + 21 for a.
-5
Solve -14 = -4*r + 3*s, s - 8 = -54*r + 49*r for r.
2
Solve 2*k - 3*i - 22 = 0, -2*k - 5*i = -161 + 171 for k.
5
Solve z + 9 = 2*b, 0*z - 26 = -z - 5*b for z.
1
Solve ... | {
"pile_set_name": "DM Mathematics"
} |
55824580
What is 19557054 times -0.1?
-1955705.4
Multiply -1219.024 and 18.
-21942.432
58 times -0.00818063
-0.47447654
Multiply -8.6548 and 5564.
-48155.3072
84.4*-0.26986
-22.776184
-935.8043 times -5
4679.0215
64.1773*0.5
32.08865
Work out -2139231 * -0.01.
21392.31
7.5151609 times 1
7.5151609
Work out -755 * 2717.
... | {
"pile_set_name": "DM Mathematics"
} |
w(b) wrt b.
-198*b**2
Let i(a) be the third derivative of -25*a**4/2 + 487*a**3/6 - 428*a**2. Differentiate i(w) wrt w.
-300
Let p(c) = -23*c**2 + 2*c + 27. Let g(j) = -68*j**2 + 7*j + 81. Let v = 51 - 58. Let m(z) = v*p(z) + 2*g(z). Differentiate m(q) with respect to q.
50*q
Let x(v) = v**3 - v**2 + v. Let q(h) = 174... | {
"pile_set_name": "DM Mathematics"
} |
3232, -178993, -214754?
-35761*p - 188
What is the v'th term of -138294531, -138294530, -138294529?
v - 138294532
What is the s'th term of 237205, 474724, 712243?
237519*s - 314
What is the h'th term of 238113, 238077, 238007, 237885, 237693, 237413?
-3*h**3 + h**2 - 18*h + 238133
What is the m'th term of -48931744, -4... | {
"pile_set_name": "DM Mathematics"
} |
ppose o*c = c - 8. What is the greatest common divisor of 64 and c?
8
Suppose -557 = -11*i + 1555. What is the highest common divisor of 12 and i?
12
Let b be (-14)/63 - 112/(-18). Suppose 4*d + 4*p - 92 = 0, -b*d + 4*d + 2*p = -50. Calculate the greatest common divisor of 60 and d.
12
Let i be 7/(28/96) - 1. What is t... | {
"pile_set_name": "DM Mathematics"
} |
-0*t. Let c = t - -23. Is c prime?
True
Suppose -5*b + 2*b = -894. Is b a composite number?
True
Let i = 43 + 96. Is i a composite number?
False
Suppose -x = 4*j + 3, 0*j = 2*x + 4*j + 6. Let t = x - -10. Is t a composite number?
False
Let c(r) = 4*r**2 - r - 1. Let l be c(-1). Is (-1)/l + (-274)/(-8) composite?
True
L... | {
"pile_set_name": "DM Mathematics"
} |
?
-773662
What comes next: 66881, 66866, 66841, 66806, 66761, 66706?
66641
What is next in 24368, 48721, 73060, 97379, 121672?
145933
What comes next: -111, -182, -277, -378, -467?
-526
What is the next term in 758, 2179, 4264, 7013?
10426
What is the next term in -54, -86, -140, -222, -338, -494, -696, -950?
-1262
Wha... | {
"pile_set_name": "DM Mathematics"
} |
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