text
stringlengths
270
8.19k
meta
dict
14514. Calculate the greatest common factor of 13 and g. 13 Let q be (-60)/(-90)*(-54)/(-1). What is the highest common factor of 684 and q? 36 Let k = -1426 + 1431. Let o be (-4 - 1)/(1/(-7)). Calculate the greatest common divisor of k and o. 5 Let l(z) = 22*z - 629. Let t be l(48). What is the greatest common factor...
{ "pile_set_name": "DM Mathematics" }
, 5*r + 51 - 25 = 2*k for r. -4 Solve 5*i + 5*w - 44 = -74, 14 = -2*i - 4*w for i. -5 Solve 13 = -v - 2*o, -3*o + 22 = -4*v + 25 for v. -3 Solve -w - 3 = -2*l, -4*l = 3*w - 0 - 11 for l. 2 Solve -120*f - 1 = -119*f + 5*u, -4*u + 8 = 3*f for f. 4 Solve 3*c + f = -c + 18, c - 3 = -f for c. 5 Solve m + 4*v + 15 = -2*m, 0 ...
{ "pile_set_name": "DM Mathematics" }
-4825? -6519 What comes next: -542, -1055, -1556, -2039, -2498, -2927, -3320, -3671? -3974 What comes next: -52, -35, -6, 41, 112, 213? 350 What comes next: 324, 329, 336, 345, 356, 369? 384 What comes next: -78, -31, 100, 357, 782, 1417, 2304, 3485? 5002 What is the next term in 5, -6, -33, -82, -159, -270, -421, -618...
{ "pile_set_name": "DM Mathematics" }
(b**28*b*b))**41 assuming b is positive. b**(-6232/5) Simplify (h*h/h**(-4)*h**(-13))/(h*(h*h*h**(7/8)*h)/h*h**38) assuming h is positive. h**(-391/8) Simplify i**1*i**9*i*(i**(-3))**(3/20) assuming i is positive. i**(211/20) Simplify ((((v*v/(v*v**(2/9)*v)*v)/v)/((v/v**11)/v))/(v*v**4*v*v/((v/v**5)/v)))**(2/173) assum...
{ "pile_set_name": "DM Mathematics" }
nearest ten. -38910 What is 99.0893788 rounded to 2 dps? 99.09 Round 7.738920696 to 1 decimal place. 7.7 Round -5.86059471 to zero dps. -6 Round 11357476.6 to the nearest one hundred thousand. 11400000 What is 101.8386529 rounded to the nearest ten? 100 Round -34799.191 to the nearest ten thousand. -30000 Round -2.832...
{ "pile_set_name": "DM Mathematics" }
s = 1427 - 1433. Let c be ((-4)/24*s)/(-4 + 5). Is c > j? True Let f(v) = -2*v**3 - 10*v**2 + 92*v + 590. Let d be f(-6). Is 120 != d? True Suppose 0 = -5*m - 10*m - 2040. Let r = 114 + m. Which is bigger: -19 or r? -19 Let g = -112810/13 + 8705. Which is smaller: -3/5 or g? -3/5 Let t be -1 + 8 - ((-8)/(-2))/(46/69)....
{ "pile_set_name": "DM Mathematics" }
r? 4 What is 428 to the power of 1/3, to the nearest integer? 8 What is 737 to the power of 1/2, to the nearest integer? 27 What is 1946 to the power of 1/2, to the nearest integer? 44 What is 152427 to the power of 1/2, to the nearest integer? 390 What is 845 to the power of 1/2, to the nearest integer? 29 What is 574...
{ "pile_set_name": "DM Mathematics" }
/5)))/y))/y*y**16/y assuming y is positive. y**(-60) Simplify (c**(-1/27)*(c**(4/15)/c)/c)/(c**(-5)/c**8) assuming c is positive. c**(1516/135) Simplify k**(-1)*k**(1/14)*k*k/(k/(k*k/(k**(-8)*k)))*k/(k/(k**(-1/17)/k)) assuming k is positive. k**(1907/238) Simplify (p**(-2/9)*(p**(-16)*p)/p)/((p**(-1/14)/p)/p**(-1/6)) a...
{ "pile_set_name": "DM Mathematics" }
= x. Let a = 19 + t. Is 10 a factor of a? True Suppose 0 = 68*i - 66*i + 5*m - 2078, 2*i - 2062 = -m. Is i a multiple of 144? False Let n = -131 + 409. Let c = n + -188. Is c a multiple of 10? True Suppose -2*l - 232 - 32 = 0. Let g = l + 146. Is g a multiple of 7? True Let o be -4 + 6 + -3 - -25. Let n = 90 - o. Is 22...
{ "pile_set_name": "DM Mathematics" }
Let n be (-13 - -41)/(2/5200). What is n rounded to the nearest ten thousand? 70000 Let x = 1090.00615 + -1090. Round x to four decimal places. 0.0062 Let m = 0.9208 - 0.0748. Let p = 1.335 - m. What is p rounded to one decimal place? 0.5 Let x = 0.453 - 0.452997781. Round x to seven decimal places. 0.0000022 Let z = -...
{ "pile_set_name": "DM Mathematics" }
ind the third derivative of -55*v**2 - 5*v**6 + 51948*v**3 + 2*v**4 - 51948*v**3 wrt v. -600*v**3 + 48*v Suppose -45 = 9*q - 12*q. Find the first derivative of -q + 9 + 36*b**2 + 20 wrt b. 72*b What is the third derivative of p**3 - 55*p**2 - 199 + 201 + 201*p**4 - 195*p**4 wrt p? 144*p + 6 Let s(j) = -20*j**2 + 3. Let...
{ "pile_set_name": "DM Mathematics" }
se 4, what is -12220 - 10? -12230 In base 8, what is 1334 + 2? 1336 In base 10, what is 6643 - 2? 6641 In base 3, what is 20 - -1220? 2010 In base 7, what is -2 + -420? -422 In base 10, what is -14 - 706? -720 In base 12, what is 5 - 98? -93 In base 3, what is 10200212 + 12? 10201001 In base 6, what is -51 - 50? -141 I...
{ "pile_set_name": "DM Mathematics" }
What is 2192 to the power of 1/3, to the nearest integer? 13 What is the cube root of 260 to the nearest integer? 6 What is 13683 to the power of 1/2, to the nearest integer? 117 What is the ninth root of 73773 to the nearest integer? 3 What is the tenth root of 9601 to the nearest integer? 3 What is 8322 to the power ...
{ "pile_set_name": "DM Mathematics" }
AM? 8:53 PM How many minutes are there between 6:20 AM and 10:03 AM? 223 How many minutes are there between 2:31 AM and 2:51 AM? 20 What is 67 minutes after 11:15 PM? 12:22 AM How many minutes are there between 6:18 AM and 9:40 AM? 202 How many minutes are there between 1:41 AM and 8:09 AM? 388 What is 313 minutes bef...
{ "pile_set_name": "DM Mathematics" }
1034. Is d a prime number? False Suppose 5*o - 5 = 15. Suppose -b - 242 = -g - o*b, -4*b = 20. Is g prime? True Suppose -28*w + 10844 = -136464. Is w a prime number? True Suppose 4*c - 376 = -2*k, 4*c + 711 = 4*k - 5. Suppose 2*g - k = 144. Is g a composite number? False Let h(b) = b**3 + 4*b**2 + b + 4. Let y be h(-4...
{ "pile_set_name": "DM Mathematics" }
ose 0 = -85*q - 830 + 35170. What are the prime factors of q? 2, 101 Suppose -6*f + 2156 = x - 3095, 0 = -5*x + 5. List the prime factors of f. 5, 7 List the prime factors of 4/(-7) + 26252/28. 937 Suppose -f - 4*f = -100. Suppose -f = -d - 3*d. Suppose 0 = -2*i + 2, -160 = -2*y - 3*y + d*i. List the prime factors of y...
{ "pile_set_name": "DM Mathematics" }
1161*u**3 + 3550? 3483*u**2 Find the third derivative of -909*a**3*x**2 + a**2*x**2 - 77*x**2 + x wrt a. -5454*x**2 Find the third derivative of 3*m*u*v**3*z**2 - m*u*v - 4*m*v**3*z**2 - 2*m*v**2*z - m*v**2 - 10*u*z**2 + 22*v**3 - z**2 wrt v. 18*m*u*z**2 - 24*m*z**2 + 132 What is the second derivative of 102*h**2*r**2...
{ "pile_set_name": "DM Mathematics" }
. Let c be a(3). Let v be 7/((-14)/3)*2. Calculate the remainder when -1 + v*(c - 13) is divided by 10. 9 Suppose -452 = -3*f + h - 2*h, 5*f + 4*h = 751. Suppose 6*r = r + 5*n - 115, 5*r + 105 = 3*n. What is the remainder when 66 is divided by f/9 - 4/r? 15 Let m(r) = -r**3 + 7*r**2 - 2*r + 6. Let z be m(7). Let g(n) =...
{ "pile_set_name": "DM Mathematics" }
2)/357 + 20/35. Let j = m + 603/136. Find the common denominator of j and (8 + -4)/28*742/12. 24 Let h = -42 - -106. What is the common denominator of 65/2 and (2/h)/((-40)/(-2480))? 16 Let p = 165494157/15614 + -23977/422. Let z = -10541 + p. What is the common denominator of 34 and z? 37 Let b = -63 + 89. Let z = -18...
{ "pile_set_name": "DM Mathematics" }
((x**(1/20)*x)/x)**(1/27) assuming x is positive. x**(1/540) Simplify (m/(m*m*m**(-2/7))*m)**5/(m**(4/7)/(m*((m/(m*m*m**(-4)))/m)/m)) assuming m is positive. m**(20/7) Simplify (i**(-3/2)/i)/i**(-2) assuming i is positive. 1/sqrt(i) Simplify ((l**(-3)/l)/l**(-8))/(l**(1/2)/l*l*l)**(-28) assuming l is positive. l**46 S...
{ "pile_set_name": "DM Mathematics" }
d -40/39591. 3721554 Calculate the smallest common multiple of 104148 and 1952775. 7811100 What is the common denominator of 31/963 and -131/2565126? 274468482 Calculate the common denominator of 7/265355 and -16/411. 109060905 What is the lowest common multiple of 145 and 3466145? 100518205 Calculate the least common ...
{ "pile_set_name": "DM Mathematics" }
e (-12)/(-28) - 1/((-14)/610). Let x = z + -41. Suppose i = -x*i + 400. Round i to the nearest 1000. 0 Let h = -726.237 - -1.237. Let b = 486 + h. Let w = -238.9999887 - b. Round w to six dps. 0.000011 Let j = -8 + 8.018. Let u = 0.039 + j. Let y = u - 0.05753. Round y to four decimal places. -0.0005 Let i = -0.146977 ...
{ "pile_set_name": "DM Mathematics" }
4*n for n. 0 Solve 121*y + 110 = 143*y for y. 5 Solve 62 = h + 59 for h. 3 Solve 28*d - 180 - 44 = 0 for d. 8 Solve -4*z + 42 - 50 = 0 for z. -2 Solve -26 = -16*f + 38 for f. 4 Solve 33*h + 49 + 50 = 0 for h. -3 Solve 19 - 62 = 43*z for z. -1 Solve 7 = 31*b - 30*b for b. 7 Solve -14*f - 6 = -15*f for f. 6 Solve -20*g =...
{ "pile_set_name": "DM Mathematics" }
1 - (-28 - -26). Calculate the greatest common factor of l and 128. 16 Let j = 9 - 3. Suppose -3*i = -3*b - 5 - 19, 0 = -2*i - 2*b + 8. Calculate the highest common factor of j and i. 6 Let r(a) = a - 1. Let q be r(5). What is the highest common divisor of q and 36? 4 Let o(b) = b**3 - 7*b**2 + 4. Let q be o(7). Suppos...
{ "pile_set_name": "DM Mathematics" }
s) be the first derivative of 70*s**3/3 + 34*s - 90. Differentiate y(m) wrt m. 140*m Let w(r) be the second derivative of 0*r**2 - 12*r + 5/6*r**4 + 0 - 16/3*r**3. What is the second derivative of w(t) wrt t? 20 Let a = 0 + 2. Find the second derivative of a*q**5 + 15*q**3 + 11*q - 15*q**3 + 2*q wrt q. 40*q**3 Let y(p)...
{ "pile_set_name": "DM Mathematics" }
-145 + j. Let g be -10*(-2)/(-9) + 2. Which is the third smallest value? (a) g (b) t (c) 4 c Let z = -6 - -20. Let f be (-2 - (-9)/6)*6. What is the third smallest value in -0.4, z, f, -0.5? -0.4 Let a = -9392.92 - -7731. Let f = a - -1696. Let o = 34 - f. What is the second biggest value in 4, 2/7, o? 2/7 Let p(g)...
{ "pile_set_name": "DM Mathematics" }
1 in 0.3, s, 3? 0.3 Suppose 9*v - 4*v + 20 = 0. Let w = 0.24 + -2.24. What is the closest to 0 in w, v, 1/3? 1/3 Let j be (-6)/(-4) - 58/44. Let l = 4 + -4. Let b be l + 3/2*-2. What is the nearest to 1/3 in b, -2, j? j Let n = 333/4 + -83. Let r = 3 - 3.1. Which is the nearest to r? (a) n (b) -1/4 (c) -4 b Suppose ...
{ "pile_set_name": "DM Mathematics" }
or of 8848 and 134540. 28 Calculate the greatest common factor of 116595620 and 67652. 5204 Calculate the highest common divisor of 293148 and 187884. 612 What is the greatest common factor of 5559207 and 94? 47 Calculate the greatest common factor of 209479384 and 3320. 664 What is the greatest common factor of 982291...
{ "pile_set_name": "DM Mathematics" }
+ 0*x**7 + 0 + 1/4*x**4. What is the third derivative of f(v) wrt v? 360*v**3 Let s(x) = 34*x**4 - 11*x**3 + 16*x + 11. Let c(g) = 7*g**4 - 2*g**3 + 3*g + 2. Let m(r) = -11*c(r) + 2*s(r). What is the second derivative of m(i) wrt i? -108*i**2 Let a(n) = n**2 + 3*n - 5. Let z be a(-5). What is the third derivative of 3*...
{ "pile_set_name": "DM Mathematics" }
8). 7 Let p(h) = -7*h**2 - 90*h + 21. What is p(-13)? 8 Let s(f) = f**2 - 682*f + 30388. Determine s(48). -44 Let m(y) = -8*y**2 - 14*y + 7. What is m(-3)? -23 Let z(j) = 2*j**3 + 5*j**2 + j - 35. Give z(4). 177 Let d(l) = -l**3 + 99*l**2 - 91*l - 820. What is d(98)? -134 Let u(d) = -d**3 + 5*d**2 + 86*d - 508. Determi...
{ "pile_set_name": "DM Mathematics" }
387? 1 What is the thousands digit of 63105? 3 What is the units digit of 1350? 0 What is the hundreds digit of 328? 3 What is the units digit of 740? 0 What is the units digit of 652? 2 What is the hundreds digit of 6447? 4 What is the thousands digit of 100950? 0 What is the thousands digit of 1739? 1 What is the tho...
{ "pile_set_name": "DM Mathematics" }
? 289 What is 154 minutes before 5:13 PM? 2:39 PM What is 595 minutes after 4:54 AM? 2:49 PM What is 665 minutes after 5:06 AM? 4:11 PM What is 332 minutes before 11:09 PM? 5:37 PM What is 27 minutes after 1:45 AM? 2:12 AM What is 707 minutes after 3:45 PM? 3:32 AM How many minutes are there between 3:43 AM and 8:22 AM...
{ "pile_set_name": "DM Mathematics" }
. 9 Simplify (sqrt(2448) + (sqrt(2448) + 2*sqrt(2448) + -5 - sqrt(2448)) + -4 + sqrt(2448)*-2 - (-4*((sqrt(2448) - -1*sqrt(2448)) + 1))**2)*-3. 2268*sqrt(17) + 470091 Simplify (sqrt(11) - (sqrt(11)*3 + 2) - (sqrt(11) + (sqrt(11) + -6*-4*sqrt(11) + sqrt(11))**2)) + -4. -7442 - 3*sqrt(11) Simplify -1 + 2*5*-2*(-6*sqrt(12...
{ "pile_set_name": "DM Mathematics" }
0 = 1424*t - 1440*t + 776368. Is t composite? False Is 2 - (5 + -7)/((12/(-367203))/(-2)) composite? True Suppose -49*j + 51*j + 8 = 0. Is 2 + j + 4 - -975 prime? True Let l be (14 + -2)*(-1)/2. Let b(x) = 2*x + 14. Let n be b(l). Is 9/(1 + n) - -68 a composite number? False Let g(y) = 15*y + 96. Let d be g(-7). Is 1/(...
{ "pile_set_name": "DM Mathematics" }
17 What is the i'th term of 336, 660, 970, 1260, 1524, 1756, 1950? -i**3 - i**2 + 334*i + 4 What is the z'th term of -3456, -6919, -10384, -13851, -17320, -20791? -z**2 - 3460*z + 5 What is the h'th term of -2270, -2269, -2268, -2267, -2266? h - 2271 What is the s'th term of -1647, -6605, -14869, -26439, -41315, -59497...
{ "pile_set_name": "DM Mathematics" }
j, q, -3/2? q Let n(z) = -z**3 - 11*z**2 + 9*z + 268. Let t be n(-8). Which is the third biggest value? (a) -0.042 (b) 0 (c) 0.4 (d) t b Let z = 612254/27 + -22676. Which is the second smallest value? (a) z (b) 0.013 (c) -0.2 b Let o = -9 - -23. Let i be (54/(-120))/((-474)/790). Which is the smallest value? (...
{ "pile_set_name": "DM Mathematics" }
t integer? 216 What is the cube root of 18055724 to the nearest integer? 262 What is the square root of 17316 to the nearest integer? 132 What is the third root of 849677 to the nearest integer? 95 What is the cube root of 915557 to the nearest integer? 97 What is the third root of 4364058 to the nearest integer? 163 W...
{ "pile_set_name": "DM Mathematics" }
s ((-1375)/33 - -9)/(2/(-12)) a multiple of 37? False Let j(g) be the third derivative of g**4/24 + 17*g**3/3 + 22*g**2. Does 14 divide j(0)? False Suppose t - 4*x + 24 = 5*t, 0 = -3*t - 5*x + 26. Let y(f) = -25*f + 2. Let i be y(-4). Suppose -i = -t*v + v. Is 22 a factor of v? False Let j(s) = -5 + 9*s**3 + 1 + 6*s**2...
{ "pile_set_name": "DM Mathematics" }
10, 0 = 2*f + 3*g - 2 for f. -5 Solve -2*j = 3*p + 1, 4*p - 12 - 10 = 2*j for p. 3 Solve -5*j + 5*y + 10 = 0, 2*j - y = 1 - 2 for j. -3 Solve -4*h - 3 = -7*h + 3*u, 0 = -h - u + 1 for h. 1 Solve -3*y = -c - 2*y, -5*c + y - 12 = 0 for c. -3 Solve 4*l + 15 = y, 4*y + 0 - 9 = -l for l. -3 Solve 3*j + 5*n + 145 - 161 = 0,...
{ "pile_set_name": "DM Mathematics" }
2 Solve -3*y + 3*s + 3 = 0, -16*y + 5 = -17*y - 5*s for y. 0 Solve b + 5 = 5*a - 17, 2*b - 2*a = -12 for b. -2 Solve 4*c + 5 - 13 = 0, 9 = -3*h - 3*c for h. -5 Solve 2*o = 2*i - 9 + 3, 4*i = -5*o - 15 for i. 0 Solve 0*u - 3*u - m + 17 = 0, 5*u - 19 = 3*m for u. 5 Solve 144*w = 5*y + 142*w - 15, 5*y - 5*w - 30 = 0 for ...
{ "pile_set_name": "DM Mathematics" }
3*g - d - 2 for g. -1 Let j be (2/(-4))/(1/(-4)). Let n(b) = 208*b + 2708. Let k be n(-13). Solve -k*a + j*a = -10 for a. 5 Let p(q) = q**3 - 2*q**2 + 10*q - 5. Let t be p(5). Suppose 0 = 5*k - 135 + t. Solve -12 = -z - k*z for z. 3 Let s be 43/(-2)*-6 - 1. Let h = s - 128. Solve -4*q - 10 - 6 = h for q. -4 Let u be 11...
{ "pile_set_name": "DM Mathematics" }
on factor of 18 and n. 6 Let t be ((-8)/(-18))/((-8)/(-36)). Let p be 12/2 + (1 - 2). Suppose -i + 372 = t*i - 4*n, -i - p*n = -143. Calculate the greatest common factor of 16 and i. 16 Suppose -2*a + a = -56. Calculate the highest common divisor of a and 8. 8 Let o = -62 + 113. What is the highest common divisor of o ...
{ "pile_set_name": "DM Mathematics" }
9*z**4 - z**4 + 0*z**4. 5*z**4 + z**2 Expand (1 - 6*q + 10*q - 3*q)*(-8 - 4 + 5). -7*q - 7 Expand (-3*s - s**3 + 3*s)*(11*s + 3*s - s). -13*s**4 Expand (-4*s + 0*s + 2*s)*(5*s + 3*s - 2 - 10*s). 4*s**2 + 4*s Expand (2 + 3*b - 2)*(1 + 2*b - 1)*(-6*b + 3*b + 5*b). 12*b**3 Expand -4*r - 4*r + 6*r + (0*r - r - r)*(-11 + 2 ...
{ "pile_set_name": "DM Mathematics" }
et c(d) = 4*d**2 - d + 4. Let q(g) = -28*g**2 + 12*g - 13. Let s(o) = 10*c(o) + 2*q(o). Let m(y) = -y**2 + y + 1. Give l*s(u) - 28*m(u). -4*u**2 Let a(w) = w - 15*w**3 - 4*w - w**2 + 13*w**3 - w**2 - 3. Suppose -3 = -5*p + 27. Let g(v) = 14 + v**2 - 27 + v + 5 + 4 + v**3 + 5. Calculate p*g(d) + 2*a(d). 2*d**3 + 2*d**2 ...
{ "pile_set_name": "DM Mathematics" }
y. Let h = -7741/84 - -369/4. Which is the second smallest value? (a) q (b) 0.5 (c) h c Let k = -0.005 + -0.395. Which is the fourth smallest value? (a) 0.4 (b) k (c) 0 (d) -3 a Suppose 16 = 5*r + 1. Which is the third biggest value? (a) -2/19 (b) r (c) -4 c Let w = 8 + -4. Let f = w + -4.4. Let g = 0.6 + -0...
{ "pile_set_name": "DM Mathematics" }
- z**2 + z**2). -z**5 Expand (6*a**3 + 5*a**3 - 4*a**3)*(-1 + 1 + 1) + (a - a + 2*a)*(0 + 0 + a**2). 9*a**3 Expand -6 + 6 + r**5 - 2*r**5 + 0*r**5 + r**5 + (r**3 + 3*r**3 - 6*r**3)*(-2*r**2 + 5*r**2 - 5*r**2) + r**5 + 7*r**5 - 3*r**5. 9*r**5 Expand -r + r - 3*r**2 + (-5 + r + 5)*(-9*r + 5 - 5) - 2*r**2 + 0*r**2 + r**2....
{ "pile_set_name": "DM Mathematics" }
to the nearest 10000. 100000 Let s = 0.24 - -31.76. Let c = s - 40.1. Let p = c - -8.1000083. What is p rounded to six decimal places? 0.000008 Let t(o) = 986*o**3 + 4*o**2 + 19*o + 35. Let h be t(5). What is h rounded to the nearest 10000? 120000 Let m = -4.272 - -3.89. What is m rounded to two decimal places? -0.38 L...
{ "pile_set_name": "DM Mathematics" }
omposite number? False Let a(w) = -131*w - 5. Let t be a(-5). Suppose -3*k + t = 185. Is k prime? False Suppose 17*p - 10727 = -0*p. Is p a prime number? True Suppose 0 = 5*k + 20, 3*v - 4*k - 239 = -2*k. Is v a composite number? True Let h be -1 - -1 - -11*1. Let u(m) = m**2 + 3*m - 5. Let n(w) = 5*w**2 + 15*w - 25. L...
{ "pile_set_name": "DM Mathematics" }
1 for s. -2 Let r(a) = -a**2 + 19*a - 44. Let t be r(16). Solve 2 = -t*n + 6 for n. 1 Suppose 32*w = 35*w - 132. Suppose -4*b + w = 4*o + 16, -5*b = -2*o - 56. Solve -6 = -4*f + b for f. 4 Suppose -y = -5*y + 44. Solve 8*k - 3 = -y for k. -1 Let s(f) = -19*f**2 - 43*f + 3. Let j be s(-2). Solve -16*z = -j*z + 3 for z. ...
{ "pile_set_name": "DM Mathematics" }
greatest common factor of 20 and r? 4 Let d(a) = -a**2 + 2*a + 207. Let l be d(-13). Calculate the highest common divisor of 544 and l. 4 Let g(y) = 5*y**2 - 2*y - 6. Let h be g(6). Let a = h - 114. Let j = a - 27. Calculate the greatest common divisor of 14 and j. 7 Suppose 3 = -3*p, -3*k + 13*p = 18*p - 22. What is ...
{ "pile_set_name": "DM Mathematics" }
5 - 16*d*f**2 + 2*d*f + d + 13779616*f + 5 wrt f. 432621800*d*f**3 - 32*d Find the third derivative of 2*c**3*d + 76031649*c**3 + 1679*c**2*d + c*d + c - 120*d wrt c. 12*d + 456189894 What is the second derivative of -131702*o**3 + 68*o**2 - 2154104*o - 1? -790212*o + 136 What is the third derivative of -2549001*f*l**4...
{ "pile_set_name": "DM Mathematics" }
= f**2 + 3*f - 3. Let a be m(2). Suppose 5*u - 5 = -5*s, 3*u - a = -s - 3*s. Suppose 4*g - 80 = -4*v, 8 = g + s*v - 15. Is g composite? False Is 4/(-26) - 8235/(-39) composite? False Suppose -4 = -b - 1. Suppose n + q + q = -8, -12 = 3*q. Suppose -3*k = y - 89, n = -b*y - 0*y - 2*k + 239. Is y a composite number? True ...
{ "pile_set_name": "DM Mathematics" }
3224 - -4? -3220 In base 6, what is -1125 + 34? -1051 In base 14, what is -4 - 315? -319 In base 15, what is -ec6 - -3? -ec3 In base 11, what is 212 - -2? 214 In base 9, what is 6 + -80? -73 In base 11, what is -33 + -261? -294 In base 8, what is 373 + -3? 370 In base 5, what is -121 + -1? -122 In base 16, what is -4 +...
{ "pile_set_name": "DM Mathematics" }
w**3/2 + 2231*w**2/2 - w/2 - 2231/2 = 0. -2231, -1, 1 Find a, given that 5*a**5 - 110*a**4 + 520*a**3 - 640*a**2 = 0. 0, 2, 4, 16 Let -2*d**2/11 - 28044*d/11 + 28046/11 = 0. What is d? -14023, 1 Suppose 3*f**4/2 - 648*f**3 + 134013*f**2/2 + 205578*f + 137922 = 0. Calculate f. -2, -1, 181, 254 Factor -4*t**2/9 + 127528*...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {b: 2, h: 5}. Give prob of sequence bh. 5/21 What is prob of sequence vv when two letters picked without replacement from vvnvlvvvnlvv? 14/33 Calculate prob of sequence zy when two letters picked without replacement from xmjzyymj. 1/28 Three letters picked without replacement fro...
{ "pile_set_name": "DM Mathematics" }
ided by 33? 12 What is the remainder when 10097 is divided by 22? 21 What is the remainder when 1351 is divided by 431? 58 What is the remainder when 50 is divided by 7? 1 Calculate the remainder when 56 is divided by 40. 16 Calculate the remainder when 33 is divided by 5. 3 Calculate the remainder when 2804 is divided...
{ "pile_set_name": "DM Mathematics" }
earest to -8 in 2, -2.5, 4, 0.5? -2.5 Which is the closest to -1? (a) 4/9 (b) -0.4 (c) 3452 (d) 0.5 b What is the nearest to -2/9 in 4, 1, -1/7, -0.5? -1/7 Which is the nearest to -1? (a) 2/3 (b) 2/9 (c) -0.3 c Which is the closest to 3? (a) -2/11 (b) -0.119 (c) -0.3 b What is the closest to -0.2 in 1/3, 0.2,...
{ "pile_set_name": "DM Mathematics" }
**3 + 2*y**2 - 2*y + 3. Let d be t(2). Let f = -2961 + d. Let a = 4298 - f. Round a to the nearest one thousand. 2000 Let p = -4 + -9. Let q = 11.2 + p. Let g = q + 1.7999984. What is g rounded to six dps? -0.000002 Suppose 0 = -15*l + 10 + 4685. Round l to the nearest ten. 310 Let s = -0.91 + 0.17. Let o = s + 0.7484....
{ "pile_set_name": "DM Mathematics" }
+ 4*p - 50. What is the lowest common multiple of 2022 and t? 10110 Let c = 23 + -14. Suppose 3*f - 2*k - 12 = c, f + 2*k = 15. Let p = 10 - f. What is the least common multiple of 9 and p? 9 Let m(i) = -i**2 - 77*i - 596. Calculate the smallest common multiple of 2392 and m(-9). 4784 Suppose 2*q = -707 + 755. What is...
{ "pile_set_name": "DM Mathematics" }
fourth biggest value? (a) -887 (b) 8/17 (c) 0.05 (d) -8 a What is the seventh biggest value in -0.03, -5, 5/2, 11, -20, 3, 4? -20 Which is the second smallest value? (a) 15791 (b) 1 (c) 108 c What is the smallest value in -0.23, -5344/9, -3, -26? -5344/9 Which is the fourth biggest value? (a) 2 (b) 1/3 (c) -0...
{ "pile_set_name": "DM Mathematics" }
c Let i be 1*(-10 - -19)*(0 + 1). Suppose 5*g - 20 = 4*v, -6*v + i*v + g = -15. Let w = -0.5 - -4.5. Which is the second biggest value? (a) w (b) 7/5 (c) v b Let y = -32 - -65/2. Let j = -464.7 + 461.7. What is the biggest value in 1/5, y, j? y Suppose 4*b = 5*p + 14, 3*p - 10*b + 7 = -9*b. Let s = 4.02 + -0.02. Le...
{ "pile_set_name": "DM Mathematics" }
isiiiiii. What is prob of sequence siss? 1/455 Two letters picked without replacement from {e: 1, a: 11, v: 3, n: 2, m: 1, u: 1}. What is prob of sequence uv? 1/114 What is prob of sequence hcc when three letters picked without replacement from ceecheece? 1/84 Three letters picked without replacement from ddudmdumdmmud...
{ "pile_set_name": "DM Mathematics" }
t is the ten thousands digit of 784192632? 9 What is the hundreds digit of 2169050962? 9 What is the tens digit of 3241326066? 6 What is the hundreds digit of 32289926? 9 What is the thousands digit of 338202033? 2 What is the ten millions digit of 586410879? 8 What is the hundreds digit of 60674279? 2 What is the hund...
{ "pile_set_name": "DM Mathematics" }
92*o as t*o**2 + z + l*o and give t. -1800 Express (3 - 3 - 1)*(2086*g**2 + 22*g**2 - 6253 + 6253) as k*g**2 + r*g + t and give t. 0 Rearrange -10*z**3 - 3*z**2 - 2*z**4 + 30*z**3 + 4*z**4 - z**2 to s*z**2 + q*z + y*z**4 + m*z**3 + n and give n. 0 Rearrange 4147*b - 3*b**3 + b**3 - 3957*b + b**3 - 2*b**4 to the form z*...
{ "pile_set_name": "DM Mathematics" }
121201*w**3 + 4*w - 5711283? -60727206*w Differentiate -27*w*y**3 - 59444*w + 2*y**3 - 25*y**2 - 3*y - 82397 wrt w. -27*y**3 - 59444 What is the derivative of -163608437*z + 65189248? -163608437 Find the second derivative of -8947586*k**2*q - 4123955*k*q wrt k. -17895172*q What is the first derivative of -86*o**2 - 471...
{ "pile_set_name": "DM Mathematics" }
? False Is 24673449293 composite? False Is 1136272057 a composite number? False Is 303925003 composite? True Is 20081244461 composite? False Is 2715047221 a prime number? True Is 950807569 a composite number? True Is 18945078247 composite? False Is 53731172767 prime? True Is 4540114837 a composite number? False Is 7307...
{ "pile_set_name": "DM Mathematics" }
is divided by 11. 8 Suppose 2921 = 23*b + 61*b + 737. Let u(c) = c**2 + c + 9. Let k be 6/10 + (-3)/5. What is the remainder when b is divided by u(k)? 8 Suppose -146*i = 5*l - 148*i - 3496, 4*i + 2092 = 3*l. Calculate the remainder when l is divided by 656. 44 Let d = -109 + 391. Suppose -6*u + d = -48. Let t = u - 38...
{ "pile_set_name": "DM Mathematics" }
- 31085*x/4 + 73425/4 = 0? -3, 11/6, 5, 89 Determine t, given that -3*t**5 + 339*t**4 - 7734*t**3 - 25266*t**2 - 25959*t - 8769 = 0. -1, 37, 79 Factor -z**2/3 - 23629072*z/3 - 7876357. -(z + 1)*(z + 23629071)/3 Solve -2*a**5/15 + 50*a**4/3 - 10808*a**3/15 + 188488*a**2/15 - 1136096*a/15 + 1600768/15 = 0. 2, 8, 26, 37, ...
{ "pile_set_name": "DM Mathematics" }
nce me? 3/20 Two letters picked without replacement from {p: 2, c: 1, f: 1, s: 1, b: 2, g: 1}. What is prob of sequence gb? 1/28 Two letters picked without replacement from illbiiililbii. What is prob of sequence il? 7/39 Calculate prob of sequence vjy when three letters picked without replacement from jvjpjpvcjy. 1/90...
{ "pile_set_name": "DM Mathematics" }
92.09 What is 951.2213ns in microseconds? 0.9512213 What is 141.4625 decades in centuries? 14.14625 How many millimeters are there in one tenth of a centimeter? 1 Convert 86694.19 meters to nanometers. 86694190000000 How many days are there in 214.483491s? 0.0024824478125 What is 645.731 years in centuries? 6.45731 Con...
{ "pile_set_name": "DM Mathematics" }
-1659009 4102341 divided by -16 -4102341/16 Calculate 0 divided by 35496697. 0 What is 18653850 divided by 25? 746154 What is 6068830 divided by -71398? -85 Calculate 105966 divided by -87. -1218 What is -2054455 divided by 65? -31607 Calculate -966095 divided by 6. -966095/6 What is 86210 divided by 1828? 43105/914 -1...
{ "pile_set_name": "DM Mathematics" }
-0.2106 (d) -4 c Which is the nearest to -1? (a) -0.6 (b) -2/11 (c) -16/235 a What is the closest to 1/3 in -3, -35, 2, -0.08? -0.08 What is the nearest to 0 in 5, -2/119, -2/129, 0.4? -2/129 Which is the closest to 0? (a) -676 (b) 1 (c) 0 (d) -2 (e) -2/5 c Which is the closest to -0.7? (a) 6/541 (b) -29 (...
{ "pile_set_name": "DM Mathematics" }
ree letters picked without replacement from {e: 3, k: 2, v: 4, b: 2}. Give prob of picking 2 e and 1 v. 4/55 What is prob of picking 1 x and 3 u when four letters picked without replacement from {u: 7, e: 1, h: 2, y: 1, x: 6}? 3/34 Three letters picked without replacement from rnrg. Give prob of picking 1 n and 2 r. 1/...
{ "pile_set_name": "DM Mathematics" }
7 -1044 divided by 58 -18 -595 divided by -85 7 Divide -5 by -16. 5/16 74 divided by -1 -74 -4088 divided by 5 -4088/5 -21360 divided by -16 1335 Divide -56 by -7. 8 Divide 20 by -95. -4/19 858 divided by 3 286 Calculate -2 divided by 289. -2/289 Divide -5 by 1528. -5/1528 What is 32 divided by 16? 2 What is 6 divided ...
{ "pile_set_name": "DM Mathematics" }
et t(a) be the second derivative of a + i*a**3 + 1/12*a**4 + 0 + a**2. Factor t(s). (s + 1)*(s + 2) Let v = 75 + -72. Solve 5*p**v + 1/2 + 1/2*p**5 + 5*p**2 + 5/2*p + 5/2*p**4 = 0. -1 Let y be 1 + (-8)/10 + 217/(-1260). Let z(j) be the second derivative of -1/6*j**2 + y*j**4 + 0 + 4*j + 0*j**3. Let z(m) = 0. Calculate ...
{ "pile_set_name": "DM Mathematics" }
xpress (-9 + 2*h + 9)*(48*h**2 - 15*h**2 + 12*h**2) as x*h**2 + j*h**3 + a*h + y and give j. 90 Rearrange c**3 + 10*c - 7*c**3 + 7*c**3 + c**3 to d*c**2 + k*c**3 + t*c + n and give k. 2 Rearrange -17 + 17 + 22*u to y + c*u and give c. 22 Rearrange l**2 + 2*l**2 + 8 - 4*l**2 to the form w*l**2 + o + q*l and give w. -1 E...
{ "pile_set_name": "DM Mathematics" }
et k = -1.1 - -1.1. Suppose -4*z = -x - 2*x + 19, 0 = -5*x - 5*z - 15. What is the nearest to p in x, -5, k? k Suppose 0 = -d, d - 12 = -3*j + 5*d. Let r be 10/115 - (-504)/(-1035). Let m be 6/27 - 13/18. Which is the nearest to m? (a) j (b) r (c) 2/5 b Let u = -368 + 367.97. What is the nearest to -1 in u, 5, 4, -2...
{ "pile_set_name": "DM Mathematics" }
9 = 8*c - 423*c - 524 for c. 7 Solve -87*a + 15 = 299 + 151 for a. -5 Solve -123*s + 108*s - 150 = 0 for s. -10 Solve 0 = 52484*m - 52499*m - 195 for m. -13 Solve 147*o - 169 = 160*o for o. -13 Solve 0 = 22*m - 29*m + 121*m - 684 for m. 6 Solve -56*b = -9*b - 21 - 355 for b. 8 Solve -2561 = -549*l + 9517 for l. 22 Solv...
{ "pile_set_name": "DM Mathematics" }
nearest integer? 3 What is 590 to the power of 1/4, to the nearest integer? 5 What is the square root of 13173 to the nearest integer? 115 What is the fifth root of 964 to the nearest integer? 4 What is the cube root of 116213 to the nearest integer? 49 What is the fifth root of 782 to the nearest integer? 4 What is 69...
{ "pile_set_name": "DM Mathematics" }
q) = q**2 - 8*q - 10 + 3 - 2. Give w(a). -9 Let q(r) = -r - 7. Let a be q(-21). Suppose 5*t = -a + 104. Suppose 7*p = -2*p + t. Let y(v) = -v**3 + v**2 + 2*v - 3. What is y(p)? -3 Let r(m) = 15*m**2 - 759*m - 276. Let b(y) = 3*y**2 - 151*y - 55. Let n(q) = -11*b(q) + 2*r(q). Calculate n(48). 5 Let h be 3/(-6) - (-2)/4....
{ "pile_set_name": "DM Mathematics" }
**4 - 19*f**3 + 28874*f**2 + 192076221. -156*f**3 - 57*f**2 + 57748*f Find the third derivative of 823*m*t**4 - 184*m*t**3 - 22*m*t**2 - 22*m*t - t**4 + 2*t**3 - 114 wrt t. 19752*m*t - 1104*m - 24*t + 12 Find the second derivative of 3145*q**4 + 2198*q**3 - 21999*q + 204 wrt q. 37740*q**2 + 13188*q What is the second d...
{ "pile_set_name": "DM Mathematics" }
inator of 45/602 and -133/2838. 19866 Calculate the common denominator of 19/895560 and -11/2448. 5373360 Calculate the common denominator of -1/36 and -19/2959333. 106535988 What is the lowest common multiple of 79974269 and 1648954? 159948538 What is the common denominator of 13/539400 and 133/5520? 24812400 Find the...
{ "pile_set_name": "DM Mathematics" }
/(b/(-20)). Sort 2/9, 0, q in decreasing order. q, 2/9, 0 Suppose 4*c + 14 = -2. Sort c, 1, 2 in ascending order. c, 1, 2 Let b = 4/11 - 5/44. Sort b, 0, 1/8 in ascending order. 0, 1/8, b Let o = 0.04 + -6.04. Let j = -9 - o. Let n = j - 0. Put n, -2, -1 in ascending order. n, -2, -1 Let x(j) = -14*j - 2. Let t(p) = -2...
{ "pile_set_name": "DM Mathematics" }
17616. -1 11734744 divided by -2933686 -4 -34516568 divided by -4 8629142 -21116445 divided by -1 21116445 Calculate -296361461 divided by -43. 6892127 What is 232 divided by 1841355? 8/63495 Divide -15 by -5544997. 15/5544997 What is -6342472 divided by -4? 1585618 Divide -9632574 by -1. 9632574 790888 divided by -28 ...
{ "pile_set_name": "DM Mathematics" }
s prob of picking 3 m when three letters picked without replacement from mimmmmmim? 5/12 What is prob of picking 1 h, 1 a, and 1 y when three letters picked without replacement from hyayi? 1/5 Calculate prob of picking 1 d and 1 p when two letters picked without replacement from tttptddd. 3/28 Calculate prob of picking...
{ "pile_set_name": "DM Mathematics" }
ve prob of sequence eeem. 1/7 Calculate prob of sequence bjb when three letters picked without replacement from njbvv. 0 What is prob of sequence vipi when four letters picked without replacement from izvpvppivv? 1/210 Three letters picked without replacement from {q: 1, b: 1, k: 2, g: 4, x: 3}. Give prob of sequence x...
{ "pile_set_name": "DM Mathematics" }
a) -4655/6 (b) 5 (c) -5 (d) -8 d What is the closest to 86/3 in 0.4, -10, -2/13, 13, 0.3? 13 Which is the closest to -25.263? (a) -5 (b) 0 (c) -0.3 a What is the nearest to 82 in 1, 19, 0.01, -105/11? 19 What is the nearest to 0.06 in -1081, 4, -1, 5, 16? -1 What is the closest to 257 in -0.4, -2/13, -21, -1, -4?...
{ "pile_set_name": "DM Mathematics" }
Suppose 0 = -i - c*i + 24. Solve -4*a + i = 0, -4*b - 10 = 2*a - a for b. -3 Let d = 62 - -13. Suppose 3*b - 2*a = 3*a + 35, 0 = -3*b - 3*a + d. Let k be (24/(-3))/((-2)/4). Solve -5*q - 3*r = -b, -k = -4*q - 0*q - 5*r for q. 4 Let i(h) = h**3 - 3*h**2 + 3*h + 1. Let d be i(3). Solve -z - 4*z = r - 14, 4*r = 3*z + d fo...
{ "pile_set_name": "DM Mathematics" }
051 a multiple of 83? True Is 667 a multiple of 8? False Is 87 a factor of 1367? False Is 335 a multiple of 9? False Is 704 a multiple of 84? False Is 45 a factor of 19452? False Is 133 a factor of 108360? False Does 219 divide 2409? True Is 283 a multiple of 13? False Is 109 a multiple of 2? False Does 14 divide 1222?...
{ "pile_set_name": "DM Mathematics" }
s are there between 2:01 PM and 7:11 PM? 310 How many minutes are there between 12:30 PM and 1:59 PM? 89 What is 660 minutes before 11:20 PM? 12:20 PM What is 11 minutes after 10:05 AM? 10:16 AM What is 48 minutes after 11:20 PM? 12:08 AM What is 386 minutes after 4:21 PM? 10:47 PM How many minutes are there between 7:...
{ "pile_set_name": "DM Mathematics" }
))**(-49) assuming m is positive. m**(714224/783) Simplify ((d**(-1/2)/d**(6/11))/(d**(6/7)/((d/d**(1/5)*d*d)/d)))**10 assuming d is positive. d**(-79/77) Simplify ((m/(m*m/(m**4/m)*m))/(m**(1/3)*m))/((m/m**(-1/4))/(m/(m/(m/(m**(-5)/m)))))*((m*m**2)/((m/m**(-5))/m))**(10/9) assuming m is positive. m**(115/36) Simplify ...
{ "pile_set_name": "DM Mathematics" }
ands digit of 50946? 0 What is the thousands digit of 17007? 7 What is the hundreds digit of 13645? 6 What is the thousands digit of 1567? 1 What is the units digit of 1144? 4 What is the thousands digit of 12219? 2 What is the thousands digit of 7255? 7 What is the tens digit of 1097? 9 What is the hundreds digit of 2...
{ "pile_set_name": "DM Mathematics" }
+ 22? -110131 In base 11, what is 4 + -521? -518 In base 11, what is -145 + -8? -152 In base 2, what is 11001110100110 - 0? 11001110100110 In base 12, what is -3 - -38? 35 In base 14, what is -78 + -23? -9b In base 13, what is -bc - 7? -c6 In base 16, what is 2 - 17a? -178 In base 5, what is 101 + 11? 112 In base 13, ...
{ "pile_set_name": "DM Mathematics" }
229 - 76 - 37 - 70. 46 Evaluate 12 + (-897 - -896) + 6 + 0. 17 12 + (21 - 0 - (-5 - -7)) 31 What is the value of -1438 + 1410 + 11 + 2? -15 Evaluate (24 - 37) + 18 + 7 + -96 + -2. -86 What is the value of -53 - (70 + -58 - 55)? -10 What is 12 + (-3 + 4 + -172 - (-73 + 34 + 27))? -147 Calculate 11 + (-6 + 16 - (18 + -1...
{ "pile_set_name": "DM Mathematics" }
thout replacement from {s: 3, v: 5, w: 1}. Give prob of sequence vws. 5/168 What is prob of sequence iss when three letters picked without replacement from {i: 6, s: 4}? 1/10 Calculate prob of sequence cxc when three letters picked without replacement from {c: 3, x: 4}. 4/35 Two letters picked without replacement from ...
{ "pile_set_name": "DM Mathematics" }
ber? False Let f(k) = k**3 + 4*k**2 - 2*k - 1. Let j be (-2)/9 + (-64)/36. Let w be f(j). Suppose -6*l - 665 = -w*l. Is l composite? True Let b(r) = r + 16. Let f be b(-7). Suppose -f = 3*z + 24. Let k = z + 20. Is k composite? True Suppose x + 4*n = 67, -5*x - 2*n + 5*n = -243. Suppose -5*l - a + x = 0, 0 = 4*a - 4 - ...
{ "pile_set_name": "DM Mathematics" }
Calculate the highest common factor of 68 and 402310712. 68 What is the greatest common factor of 91443160 and 3056? 1528 Calculate the highest common divisor of 12965698 and 3382. 178 What is the highest common divisor of 62574208 and 384? 128 Calculate the highest common divisor of 6392 and 9212. 188 Calculate the hi...
{ "pile_set_name": "DM Mathematics" }
19*y**4/4 - 626*y**3/3 + 1792. Find the third derivative of m(h) wrt h. -2514 Let o(c) be the third derivative of -8*c**6/5 + 101*c**5/60 - 25*c**2. Find the third derivative of o(z) wrt z. -1152 Let h(l) be the third derivative of -221*l**2 - 167/60*l**5 + 0*l**3 + 0*l**4 + 0 + 53/20*l**6 + 0*l. Find the third derivat...
{ "pile_set_name": "DM Mathematics" }
2*o - 2. Let d be (144/45)/((-2)/(-20)). Let u = d - 33. Let f(r) = -r. What is u*f(l) + n(l)? 3*l - 2 Let v(d) = 15*d**2 - 4*d - 12. Let p(r) = -7*r**2 + 2*r + 7. Give 13*p(k) + 6*v(k). -k**2 + 2*k + 19 Let v(r) = 55*r**2 - 44*r + 44. Let g(y) = -y**2 + y - 1. Let i(l) = l**3 + 12*l**2 + 13*l - 26. Let z be i(-10). C...
{ "pile_set_name": "DM Mathematics" }
/(q/q**(2/25)*q*(q/(q**(2/41)*q))/q) assuming q is positive. q**(-59093/26650) Simplify ((w*w**(1/4)/w*(w**(-2)/w)/w)/(w**(-2/7)/(w*w/(w/(w*w/w**(3/7))*w))))**(-16/5) assuming w is positive. w**(212/35) Simplify ((f/(f*f**(-2/27)/f))/f*f)/f*f/(f/(f/(f**(-9)*f)))*(f/(f/(f/f**0)*f))**18 assuming f is positive. f**(245/27...
{ "pile_set_name": "DM Mathematics" }