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What is h rounded to the nearest ten? 450 Let n = 4217368731892.999932 - 4217359712478. Let g = -9019387 + n. Let c = 28 - g. What is c rounded to five decimal places? 0.00007 Let y = 29678 - 32131.6. Round y to the nearest 100. -2500 Suppose -7*p = -154993478 - 156107522. Round p to the nearest 1000000. 44000000 Let k...
{ "pile_set_name": "DM Mathematics" }
1/445185? 7122960 Calculate the common denominator of 151/213206832 and 127/13704. 213206832 What is the lowest common multiple of 754 and 194010? 2522130 Find the common denominator of 4/255491 and 53/12828. 3065892 Calculate the common denominator of -83/255 and -27/590515. 30116265 Calculate the smallest common mult...
{ "pile_set_name": "DM Mathematics" }
z + 29. Calculate the remainder when y is divided by 18. 16 Suppose 2*d + 7*u - 36 = 3*u, 5*u = 15. What is the remainder when 19 is divided by d? 7 Let a(i) = -i**3 + 14*i**2 + 2*i + 3. Calculate the remainder when 154 is divided by a(14). 30 Let t be 18*-1 + 9 + -12. Calculate the remainder when 49 is divided by -3 +...
{ "pile_set_name": "DM Mathematics" }
f (b) -5 (c) 4 c Let h = 0.414 - 5.414. What is the third biggest value in 74, h, 3? h Let y be (-26)/(-42) - 2/7. Suppose -20*x + 15*x = 50. Let p = x + 21/2. What is the second biggest value in p, 2, y? p Let g = -0.18 - -0.05. Let w = -1583.2 + 1583. Which is the second biggest value? (a) 4 (b) w (c) g c Let h ...
{ "pile_set_name": "DM Mathematics" }
g + 2*g, 5*g - u = k. Solve 2*l = -2*l + k for l. 2 Suppose -2*i + 60 = 52. Solve 7 = -i*q - 1 for q. -2 Let w(m) = -m**3 + 8*m**2 + 15*m - 42. Let j be w(9). Let h be 42/j*(-4)/(-7). Solve 14 - 6 = -h*l for l. -4 Suppose -5*f + 12 = -13. Suppose 0 = -f*p + 15, -4*a + 6 = -0*p + 2*p. Let j = 4 + a. Solve -10 = -j*d - ...
{ "pile_set_name": "DM Mathematics" }
004, 175707031, 303621740, 482140067? 719695948 What comes next: 1242, 2364, 3342, 4164, 4818, 5292, 5574, 5652? 5514 What comes next: -2683574, -2683580, -2683586? -2683592 What is the next term in 3918, 7792, 11680, 15582, 19498, 23428, 27372? 31330 What is next in -454, -2023, -6258, -14491, -28054, -48279? -76498 W...
{ "pile_set_name": "DM Mathematics" }
Calculate the greatest common divisor of 28450994 and 31. 31 What is the greatest common divisor of 91 and 60016450? 13 Calculate the greatest common factor of 706896 and 1584. 144 Calculate the highest common divisor of 44828101 and 461. 461 Calculate the greatest common divisor of 184758 and 585438. 2226 What is the...
{ "pile_set_name": "DM Mathematics" }
(20 + -32) - (-496)/(-168)? 1/21 Evaluate 43/387*(-42)/2*3. -7 -81*(3745/(-105) + 37)/(1*-6) 18 What is the value of 3171/1359*(-2)/((-1)/(3/4))? 7/2 -11 + (18/10)/(48/640) + -6 7 120/(-105) + ((-58)/(-14) - 3) 0 Evaluate (-6*286/273 - -7) + 2/7. 1 What is (-72)/(-1296) - (-605)/(-198)? -3 What is the value of (((-810...
{ "pile_set_name": "DM Mathematics" }
42544)/(-96) + z/(-6) composite? False Suppose 5*q + 2*y - 8 = 4*q, -6 = -3*y. Let n(j) = -3*j**3 - 3*j**2 + 9*j - 7. Let i be n(q). Let d = i - -620. Is d a composite number? False Let q(u) be the third derivative of u**4/24 + 2*u**3 - 9*u**2. Let i be q(11). Let t(b) = 30*b - 17. Is t(i) a composite number? False Sup...
{ "pile_set_name": "DM Mathematics" }
-2*y - o - 4 = 0, y + 4*o = 5 - 0 for y. -3 Solve j + 2*q = -3, 0*j + 3 = -3*j - 3*q for j. 1 Solve -2*f = o - 10, -5*o - 4*f = f - 30 for o. 2 Solve -2*v + 10 = 4*m, 5*m = -71*v + 68*v + 13 for m. 2 Solve -10 = 4*t + 4*w + 10, w = -2*t - 7 for t. -2 Solve 6 = 3*q, 0*d - 4*q = -5*d - 13 for d. -1 Solve u = 3*q + 4*u - ...
{ "pile_set_name": "DM Mathematics" }
smaller: -3/13 or o? -3/13 Let n = 25 + -21. Let q be (n/45)/((-18)/15). Let i be -2 - (-1 - 3/6). Is i greater than or equal to q? False Let n be 4/5 - 2/(-10). Let l be 12/(-56)*(-28)/8. Is n at least as big as l? True Suppose -24*l = -27*l - 18. Which is smaller: l or -7? -7 Suppose 12*x - 15*x - r = 218, 3*x - r + ...
{ "pile_set_name": "DM Mathematics" }
- 11/4*a**4 + 0*a**2. Give b(1). -11 Let p(f) be the first derivative of 5*f**2/2 - 9*f + 135. What is p(6)? 21 Let o(m) be the third derivative of m**4/24 - 2*m**3 - 165*m**2. Determine o(10). -2 Suppose 0 = -2*a + 129 + 5. Suppose 14*w + 3 = -a. Let d(r) = -r**3 - 4*r**2 + 5*r - 4. Determine d(w). -4 Let p(l) = 3*l**...
{ "pile_set_name": "DM Mathematics" }
5, 0 = -5*o + 15. Suppose 4*l + 22 = 4*u + 42, -u = -3*l + 25. Let r = s - l. What is the units digit of r? 5 Let n = 6272 + 40783. What is the hundreds digit of n? 0 What is the units digit of (-4)/(-8)*10*(-511184)/(-215)? 8 Suppose -2*p - 8486 = -g, -198*g + 200*g + 3*p - 17007 = 0. What is the tens digit of g? 9 Le...
{ "pile_set_name": "DM Mathematics" }
0 Let c = -22 - -10. Let l = c + 11.81. Let a = -0.105 - l. What is a rounded to 2 dps? 0.09 Let l be (7/((-140)/25))/((-3)/24384). What is l rounded to the nearest one thousand? 10000 Let o = -989 + 988.99996543. What is o rounded to six decimal places? -0.000035 Suppose 0 = -113*j + 118*j - 37600. What is j rounded t...
{ "pile_set_name": "DM Mathematics" }
order. 8, 2, -2, -4 Sort 1/10, -5/8, -0.59 in decreasing order. 1/10, -0.59, -5/8 Put -1/3, 3, 0.3, 5 in ascending order. -1/3, 0.3, 3, 5 Sort -172, -5, 3, -2 in increasing order. -172, -5, -2, 3 Sort 0, 1, 15 in increasing order. 0, 1, 15 Sort -2, -10, -4, -5, 37 in ascending order. -10, -5, -4, -2, 37 Sort -4, -1, 96...
{ "pile_set_name": "DM Mathematics" }
le of (16/(-28))/(2/(-7)) and r. 4 Suppose -z = -2*r + 5, -4 = -5*r - z + 12. Suppose 6*p - 1589 = 3*p - 2*t, 2120 = 4*p + r*t. Let h = 1125/2 - p. What is the common denominator of -89/10 and h? 10 Let w = 7/2554 - -36265/1677978. Let t = -63857/5256 + w. Calculate the common denominator of t and -45/2. 8 Let s = 419 ...
{ "pile_set_name": "DM Mathematics" }
- 18 = 2*t, -10*t - 3*s + 159 = 0 for t. 15 Solve 3*g - 18789 + 19015 = -5*k, 0 = 7*g + 3*k + 120 for g. 3 Solve 0 = 9*o - 4*o + 19*n - 11*n - 34, 0 = 3*n - 9 for o. 2 Solve 0*y + y + 73*g = 223, 0 = -4*y + 3244*g - 3239*g + 1 for y. 4 Solve -94*m - 112*z - 661 = -115*z, 2*z = 2 for m. -7 Solve 123*k - 4*y + y - 24 = 1...
{ "pile_set_name": "DM Mathematics" }
m**5/30 - 2*m**2. Let j(x) be the third derivative of a(x). Let g(c) = 54289 - 54289 + 6*c. Give j(g(h)). 36*h**2 Let t(i) = -5*i**2. Let m(n) = 5*n + 6. Let k(l) = -6*l - 5. Let s(r) = -6*k(r) - 5*m(r). Let q(d) = 341*d. Let g(f) = -6*q(f) + 187*s(f). What is g(t(z))? -55*z**2 Let p(v) = 0*v + 5*v - 12*v. Let g(z) = -...
{ "pile_set_name": "DM Mathematics" }
-10) + 2 + (3 - 0)? -3 What is -5 + 21 + -6 + -8? 2 What is 2 - (-5 + -4 + 5 - -2)? 4 What is (-5 - -4 - 0) + (-1 - 2)? -4 What is the value of -12 + 13 + -6 + -3? -8 0 - (1 + 0 + 2 + -4) 1 What is the value of (-1 - -1) + (6 - 7 - 3)? -4 Evaluate 4 + (-1 - -1) + -7 + 6. 3 Evaluate 1 - -1 - -1 - (-37 - -39). 1 What is ...
{ "pile_set_name": "DM Mathematics" }
*(-2)/b)**(1/11)*b**(-9)/b**(-5/3))**(-36) assuming b is positive. b**(3012/11) Simplify (p**(1/3)/(p*p**(2/27)/p*p))/((p*(p/(p*p**17/p))/p)/(p/(p/(((p*p**(-23)*p*p)/p)/p)))) assuming p is positive. p**(-182/27) Simplify (u**30/((u*u**(-24)*u)/u))/((((u/u**(13/4))/u)/u)/u**(-29/4)) assuming u is positive. u**50 Simplif...
{ "pile_set_name": "DM Mathematics" }
ivided by 16. 14 Calculate the remainder when 171 is divided by 75. 21 What is the remainder when 766 is divided by 24? 22 What is the remainder when 3675 is divided by 408? 3 Calculate the remainder when 18398 is divided by 100. 98 What is the remainder when 83 is divided by 37? 9 Calculate the remainder when 1210 is ...
{ "pile_set_name": "DM Mathematics" }
-2/3, -2/7? 11 What is the fourth biggest value in 1, 1402, 2/7, 0.9? 2/7 Which is the fifth biggest value? (a) -2 (b) -0.5 (c) 2/5 (d) -6071 (e) 2 (f) -5 f Which is the second biggest value? (a) 1/5 (b) 5 (c) -5 (d) 20056 (e) 0.5 b Which is the third smallest value? (a) -3 (b) 0.4 (c) 6.4 (d) -4/3 (e)...
{ "pile_set_name": "DM Mathematics" }
ich is the closest to 1/2? (a) -2 (b) -92 (c) 0.3 c Which is the nearest to 0? (a) -0.11 (b) -4 (c) 1/3 a Which is the nearest to -3/8? (a) 3/4 (b) 2 (c) -1/7 (d) -1/3 d What is the closest to -1/3 in -88, 0.4, 1/4? 1/4 What is the closest to 8/5 in 0.1, -6, 0.3? 0.3 Which is the closest to -2/5? (a) -3 (b)...
{ "pile_set_name": "DM Mathematics" }
? (a) -5 (b) 2 (c) 4 (d) o d Let n = 3.751 - -0.249. Let g be (-4)/18 + (1 - 39/(-54)). Let w be -1*(2 + 1)/3. What is the nearest to -1 in w, n, g? w Let i = 0.13848 - 0.23848. Which is the nearest to 0.0112? (a) -2 (b) i (c) 2/5 b Let d(o) = -o**3 - 71*o**2 - 145*o - 572. Let n be d(-69). What is the nearest t...
{ "pile_set_name": "DM Mathematics" }
k. What is the second biggest value in l, -0.4, 20? -0.4 Let u = -3 + 2.88. Let v = 3281 + -3281. Which is the third biggest value? (a) -0.5 (b) u (c) v a Let z = 0.199 - 0.172. Let q = 0.373 + z. Which is the second biggest value? (a) -0.5 (b) -4/9 (c) q b Let x = 0.5 - 0.3. Let w(j) = -3*j**2 + 81*j - 56. Let f...
{ "pile_set_name": "DM Mathematics" }
0. Suppose k = f - 120 - 23. Is f prime? False Is 51/(-4*(-6)/16) prime? False Let a be (1 + 20/(-12))*-579. Suppose 106 - a = -5*s - 5*d, 62 = s + 3*d. Is s a prime number? True Let p = -2 + 7. Suppose -g + 5*w + 4 = 0, -3*w + 3 = -0*w. Suppose -p = -2*f + g. Is f composite? False Suppose 8*g - 804 = 4*g. Is g a prim...
{ "pile_set_name": "DM Mathematics" }
100 (base 2) to base 14. -c16c What is -1001110000101001 (base 2) in base 3? -2000211122 Convert -45412005 (base 7) to base 5. -2002441422 -22567420 (base 8) to base 11 -2854672 What is -216cc (base 13) in base 10? -60501 What is -1190604 (base 13) in base 6? -312540013 What is 1509805 (base 10) in base 6? 52205501 Con...
{ "pile_set_name": "DM Mathematics" }
5 and 465? 15 What is the highest common divisor of 68 and 3383? 17 Calculate the greatest common divisor of 44 and 1012. 44 What is the highest common factor of 35 and 448? 7 Calculate the highest common divisor of 56 and 16184. 56 Calculate the highest common factor of 320 and 112. 16 What is the greatest common fact...
{ "pile_set_name": "DM Mathematics" }
- 80821/8. What is the common denominator of m and y? 104 Let b(u) = 2*u**2 - 14*u + 15. Let q be -2 + 30/16 - (-49)/8. Let v = -9 + 15. Calculate the smallest common multiple of v and b(q). 6 Suppose -2*y + 10 = -2*t - 4*y, -2*t - 18 = 4*y. Let g = 473 - 471. Find the common denominator of -50/11 and 8/(-1)*g/t. 11 L...
{ "pile_set_name": "DM Mathematics" }
third smallest value in -12/29, 3/2, -0.5, -0.4, 10, -2, 0.2? -12/29 Which is the third smallest value? (a) 1 (b) -2/5 (c) -430/1097 a Which is the third smallest value? (a) -0.3 (b) -0.016 (c) -66/1747 (d) -6.4 c What is the third smallest value in 117574, -0.1, 6, -209? 6 What is the second biggest value in -...
{ "pile_set_name": "DM Mathematics" }
00 rounded to the nearest one hundred thousand? 300000 What is 49.2 rounded to the nearest 100? 0 Round -6.89 to 1 dp. -6.9 Round -1.75 to 1 dp. -1.8 Round -131480 to the nearest 1000. -131000 What is -0.032862 rounded to two dps? -0.03 What is 2.7217 rounded to the nearest integer? 3 What is -11109000 rounded to the n...
{ "pile_set_name": "DM Mathematics" }
a composite number? True Is 1336426519 a composite number? False Is 2686223297 a prime number? True Is 402875563 a prime number? False Is 12776266397 a composite number? False Is 23791508927 prime? True Is 1605086111 prime? True Is 4037596945 a prime number? False Is 7407343001 composite? True Is 46147807 composite? F...
{ "pile_set_name": "DM Mathematics" }
f/(f*f**(1/42)*f)*f*f)) assuming f is positive. f**(23939/1806) Simplify ((i/i**(-5))/i)**(1/15)*i**(-2/9)*i/(i**(-4)*i)*i assuming i is positive. i**(46/9) Simplify (m*m/m**(26/9)*m)/((m**(2/11)/m)/m)*(m*m/m**(-20))**(-2/149) assuming m is positive. m**(24103/14751) Simplify (r**2)**(-22)*r**1/r**(-29) assuming r is p...
{ "pile_set_name": "DM Mathematics" }
- 11 What is the i'th term of 529, 452, 329, 166, -31, -256, -503, -766? i**3 - 29*i**2 + 3*i + 554 What is the u'th term of 2843, 2848, 2855, 2864, 2875? u**2 + 2*u + 2840 What is the a'th term of 4594, 4576, 4558, 4540, 4522? -18*a + 4612 What is the h'th term of -579, -566, -545, -516, -479, -434? 4*h**2 + h - 584 W...
{ "pile_set_name": "DM Mathematics" }
2873? -b**2 + 418*b - 4 What is the k'th term of -132, -265, -398, -531? -133*k + 1 What is the y'th term of -48, -67, -92, -123, -160, -203, -252? -3*y**2 - 10*y - 35 What is the a'th term of 80, 73, 60, 41, 16, -15, -52? -3*a**2 + 2*a + 81 What is the c'th term of -204, -403, -602? -199*c - 5 What is the h'th term o...
{ "pile_set_name": "DM Mathematics" }
272 What is the remainder when 3163638 is divided by 499? 477 What is the remainder when 388968 is divided by 7549? 3969 What is the remainder when 1806565 is divided by 836? 805 What is the remainder when 20190942 is divided by 55622? 156 Calculate the remainder when 2375432 is divided by 339346. 10 Calculate the rema...
{ "pile_set_name": "DM Mathematics" }
ppose -6*w + 356 - 32 = 0. What is the remainder when w is divided by 29? 25 Suppose 2*g = 4, g - 49 = p - 2*p. Calculate the remainder when 185 is divided by p. 44 Suppose -v = 4 - 3, -4*v + 74 = 3*f. Calculate the remainder when 83 is divided by f. 5 Suppose -p + 2 = 0, -p + 5 = -2*b + 37. Calculate the remainder whe...
{ "pile_set_name": "DM Mathematics" }
usands digit of 113570448? 7 What is the ten millions digit of 3735557263? 3 What is the ten millions digit of 290637312? 9 What is the units digit of 401980203? 3 What is the ten millions digit of 1707048610? 0 What is the hundred thousands digit of 41750470? 7 What is the tens digit of 160456326? 2 What is the millio...
{ "pile_set_name": "DM Mathematics" }
6 (b) 35/11 (c) v b Let z = 1649.5 - 1649. Which is the third smallest value? (a) z (b) -0.5 (c) 115.6 c Let c = -2.4 + -0.6. Let j = 381117 - 381115. What is the second biggest value in j, c, -3/103? -3/103 Let b = 3.2 - -30.8. Let u = -31 - b. Let q = u - -89. What is the biggest value in q, -0.5, -5? q Let f be...
{ "pile_set_name": "DM Mathematics" }
)*2 - sqrt(171))))*-1 + sqrt(171))))/(sqrt(108)/(sqrt(108) - 2*sqrt(108))). 27*sqrt(19) Simplify ((-3 + 2*sqrt(272))**2 + 0 + sqrt(272)*2)*1. -40*sqrt(17) + 1097 Simplify (((sqrt(168) + sqrt(168)*2)*-4)/sqrt(4))/(sqrt(150)*1*5). -12*sqrt(7)/25 Simplify -1*(0 + sqrt(1331))**2*3 - ((5 + sqrt(11)*2)**2 + -6*sqrt(66)/sqrt(...
{ "pile_set_name": "DM Mathematics" }
tive of q**7/1260 - q**6/135 + q**5/36 - q**4/18 - q**3/2 - q**2. Let s(h) be the first derivative of v(h). Factor s(r). 2*(r - 2)*(r - 1)**2/3 Let i(v) be the first derivative of -4 + 0*v + 0*v**2 + v**3 - 3/2*v**4 + 3/5*v**5. Suppose i(u) = 0. What is u? 0, 1 Let f(y) = -y**5 + y**4 + y**3 - y**2. Let d(o) = -16*o**5...
{ "pile_set_name": "DM Mathematics" }
nearest integer? 5 What is the third root of 1560 to the nearest integer? 12 What is 3639 to the power of 1/3, to the nearest integer? 15 What is the third root of 6164 to the nearest integer? 18 What is the fourth root of 8819 to the nearest integer? 10 What is the fourth root of 12961 to the nearest integer? 11 What...
{ "pile_set_name": "DM Mathematics" }
+ 157. What is the hundreds digit of u(a)? 4 Let a(w) = -4*w**3 + 70*w**2 + 37*w - 20. Let o be a(18). What is the tens digit of (-9)/(-5) + o + 163443/215? 6 Let r = -3626 + 12621. What is the tens digit of r? 9 Let a = -30 - -66. Let t = 65 + a. What is the hundreds digit of t? 1 Let z be (-3)/2 + 125/10. Suppose z*...
{ "pile_set_name": "DM Mathematics" }
(15 - -3) + (-3 - 13) - (1 - 5) - 37? -31 Calculate -19 + -1 - (44 - (-50 + 125)). 11 What is the value of -134 + (7 - 2 - -85)? -44 What is the value of (13 - (-1 + -2)) + (107 - (-104 - -125))? 102 Evaluate (-8 - (1 + -1)) + (18 - 16) + -15. -21 Evaluate 4 - -42 - (177 + -93). -38 -9 + (-22 - (-21 - -9)) + 2 + 6 -11...
{ "pile_set_name": "DM Mathematics" }
t derivative of j**4/4 + j**3/3 + j**2 - 21*j + 476. Give t(0). -21 Let x(p) = p**2 - 10*p + 18. Let n be x(7). Let d be (-3)/(-3 - (n - -1)). Suppose -18*k + 17*k = d. Let l(i) = 4*i + 4. Determine l(k). -8 Let g be 2/((-45)/(-50) - 2/5). Suppose -6*n = -2*a - g*n, -4*a + 3*n = -3. Let l(i) = -i - 1. Determine l(a). -...
{ "pile_set_name": "DM Mathematics" }
= -2*h + 15, -4*v - 22 = -2*h. Let j be (-255)/(-476) - (-1 + (-10)/v). Let j*g**4 - 4/7*g - 4/7*g**5 + 2/7 - 4/7*g**2 + 8/7*g**3 = 0. What is g? -1, 1/2, 1 Suppose 5*b + 3*y - 2*y = 47, 2*b = -y + 17. Factor -209*n**3 - b*n + 112*n**3 + 15*n**2 + 107*n**3. 5*n*(n + 2)*(2*n - 1) Find y such that -24*y + 36/5*y**2 - 2/5...
{ "pile_set_name": "DM Mathematics" }
et t(w) = -6*w**3 + 2*w**2 - 2*w - 1. Let a be t(-2). Let u be (-2)/((-12)/(-6)*-1). Let x = a + u. Calculate the remainder when x is divided by 32. 28 Suppose 715 = -63*t + 4087 + 27309. Calculate the remainder when t is divided by 24. 7 Let c = -6797 - -10748. What is the remainder when c is divided by 16? 15 Suppose...
{ "pile_set_name": "DM Mathematics" }
of 0 - 1/6*k**4 + 48*k + 37/6*k**3 - 1/20*k**5 + 0*k**2. What is the third derivative of v(a) wrt a? -6 Let x(k) be the first derivative of 5*k**4/4 + 10*k**3 - 2343*k - 2548. Differentiate x(n) with respect to n. 15*n**2 + 60*n Let w(k) = -124*k + 1367. Let t be w(11). Let h be 3/9*(0 - -9). What is the third derivati...
{ "pile_set_name": "DM Mathematics" }
terms in -2449518 - 2*t + 2449518. -2*t Collect the terms in 22*m**2 - 52*m**2 + 26*m**2. -4*m**2 Collect the terms in -15*k - 7*k - 13*k + 43*k. 8*k Collect the terms in -294*s + 295*s - 4 + 4. s Collect the terms in 13*s**2 + 31*s + 32*s - 63*s. 13*s**2 Collect the terms in 76 + v**2 - 76. v**2 Collect the terms in ...
{ "pile_set_name": "DM Mathematics" }
+ 2*sqrt(12)*-2)/(sqrt(384) + sqrt(384) + 4*-1*sqrt(384)). 7*sqrt(2)/16 Simplify ((sqrt(1210)*2 + sqrt(1210) - sqrt(1210) - sqrt(1210)) + sqrt(100)/sqrt(160))/(1*(sqrt(5) + (sqrt(10)/sqrt(2) - sqrt(5)))*2). 45*sqrt(2)/8 Simplify 4*(3 + (-4 + sqrt(343) + 0)*-1). -28*sqrt(7) + 28 Simplify ((sqrt(110)/sqrt(2) - sqrt(55))*...
{ "pile_set_name": "DM Mathematics" }
ply -39 and -220402. 8595678 Work out -719347 * -0.076. 54670.372 What is 908.601 times 0? 0 What is the product of -4 and 66287814? -265151256 Multiply -0.7 and 123834. -86683.8 -661.8763*-0.14 92.662682 -2653889 * -0.4 1061555.6 -3 * 991168 -2973504 Work out -68031030 * 4. -272124120 Multiply 12 and -754.047. -9048.5...
{ "pile_set_name": "DM Mathematics" }
4*f**7 + 0*f**5 + 0 + 1/60*f**6 + 0*f**2. Determine h so that o(h) = 0. 0, 1 Let v(b) be the third derivative of b**8/42 + 13*b**7/105 + 11*b**6/60 + b**5/15 + 39*b**2. Let v(z) = 0. What is z? -2, -1, -1/4, 0 Let m = -28036/45 - -623. Let q = m - -31/45. Factor q*w**2 - 2/3*w + 0. 2*w*(w - 1)/3 Suppose 2*w = -3*w - 10...
{ "pile_set_name": "DM Mathematics" }
and 1 p when two letters picked without replacement from {k: 2, a: 1, c: 1, p: 1, e: 2}. 2/21 What is prob of picking 1 e and 1 a when two letters picked without replacement from {a: 7, e: 7}? 7/13 Three letters picked without replacement from {c: 2, o: 1, f: 6, p: 3, z: 4, t: 2}. Give prob of picking 1 c, 1 z, and 1 ...
{ "pile_set_name": "DM Mathematics" }
s 34 a factor of 14586? True Is 7514 a multiple of 59? False Is 1850 a multiple of 38? False Does 251 divide 9357? False Does 61 divide 65837? False Does 21 divide 957? False Is 54 a factor of 864? True Is 17 a factor of 82? False Does 68 divide 1020? True Is 64 a factor of 1152? True Is 19 a factor of 7486? True Is 6 ...
{ "pile_set_name": "DM Mathematics" }
eeze. 1/364 What is prob of sequence we when two letters picked without replacement from siwswswwsisuwewe? 1/20 Four letters picked without replacement from nvnnnvn. Give prob of sequence nnnv. 1/7 Four letters picked without replacement from uuktuttt. Give prob of sequence uttu. 3/70 Calculate prob of sequence mom whe...
{ "pile_set_name": "DM Mathematics" }
-f**2 + 1. Let r(l) = -2*c(l) + m(l). Give y(r(v)). 16*v**4 Let c(k) = -1724 + 1724 + 32*k. Let o(q) = q. Give o(c(b)). 32*b Let i(o) = o**2. Let r(g) = 23*g. Determine r(i(d)). 23*d**2 Let l(j) = -25*j - 17. Let w(p) be the third derivative of -p**4/8 - p**3/3 + 3*p**2. Let k(o) = 6*l(o) - 51*w(o). Let g(a) = -a. Giv...
{ "pile_set_name": "DM Mathematics" }
*v**2 + v**2 to m*v**2 + g*v + h*v**4 + c*v**3 + k and give h. 2 Rearrange (6 - 12 - 23)*(2 - 1 + 1)*(0*a + 0*a - a**2) to the form y + j*a + f*a**2 and give f. 58 Express -6*o**3 + 0*o**3 - 3*o**3 + 2*o**2 + 6*o**3 + 1 in the form l*o + a*o**3 + q*o**2 + g and give q. 2 Express (-1 - 1 + 4)*(1 + 1 - 4)*(78 - 78 + 135*...
{ "pile_set_name": "DM Mathematics" }
. What is the greatest common divisor of 1 and r? 1 Suppose -o + 5*l + 35 = -5, -2*o - 5*l = -20. Suppose 0 = 7*f - 6*f + 2. Let v = 8 - f. Calculate the greatest common divisor of v and o. 10 Suppose 0 = 8*r - 5*r + a - 73, 23 = r - a. Calculate the highest common factor of 30 and r. 6 Suppose 2*i + 1 = 3*i. Let d be ...
{ "pile_set_name": "DM Mathematics" }
-4*k + 45078473 What is the first derivative of 3*i*x**2 - 6668005*i*x + 2*x**2 + 37*x - 154552 wrt i? 3*x**2 - 6668005*x Find the second derivative of -4*f*k**5 + 51809024*f*k + 8599116*k**3 wrt k. -80*f*k**3 + 51594696*k What is the third derivative of 2*h*z**4 - 5*h*z**3 + 7*h*z + 5*h + 595463*z**4 + 37289*z**2 - 1 ...
{ "pile_set_name": "DM Mathematics" }
uppose 0 = -12*g - 4 - 8. Let h(y) = -9*y - 8. Let x be h(g). What is the closest to 6 in x, 4, -3/7? 4 Let d = -267 - -256.4. Let g = d - -9.6. Let r = 7.3 - -0.7. What is the closest to 0.1 in g, 1, r? 1 Let a = 262 - 260. What is the nearest to -3/7 in -0.1, a, 24? -0.1 Let s = 506/243 + 9815/486. Let o = s + -45/2....
{ "pile_set_name": "DM Mathematics" }
+ 1379, -5*y = -40. What is the remainder when v is divided by 21? 11 Suppose -2*x + 766 = -3*r, x - 10*r = -8*r + 385. Calculate the remainder when x is divided by 91. 13 Calculate the remainder when 407 is divided by (-756)/(-168)*(-164)/(-9). 79 Suppose 46*g + 142*g = 46*g + 8662. Calculate the remainder when 391 is...
{ "pile_set_name": "DM Mathematics" }
. Let k = p + 129627. What is k rounded to the nearest 10000? 120000 Let c = 36530.91 - 36749. Let a = 217 + c. Let n = 14.71 - a. Round n to 0 dps. 16 Let f = -3752 + 3751.20456. Let z = f + 0.05974. What is z rounded to 1 decimal place? -0.7 Let z be 21291*(-6 - -24 - -2). Let b = z + 354180. Round b to the nearest o...
{ "pile_set_name": "DM Mathematics" }
(10 - 11) is divided by 31. 29 Let x(d) = d**3 - 9*d**2 - 11*d + 12. Let l be x(10). Suppose 0 = y - 4*f, -5*y + l*y + 21 = -5*f. What is the remainder when 35 is divided by y? 11 Suppose 4*j = -0*j + 4*c + 8, -j - 3*c = -10. What is the remainder when 9 is divided by j? 1 Let x = 15 + -7. Calculate the remainder when ...
{ "pile_set_name": "DM Mathematics" }
-0.2 in d, -5, -2? d Let o = 2.9 - 4.9. Which is the nearest to 0.2? (a) o (b) 2/11 (c) 1/2 b Let k(q) = -q**3 + 7*q**2 + 9*q - 7. Let m be k(8). Let y = -220 - -219.5. What is the nearest to 1 in y, 4, m? m Let d be (7/(-20))/(-1) + 15/(-25). Which is the closest to 1? (a) 0.3 (b) d (c) -2/13 a Suppose 2*t - 2 ...
{ "pile_set_name": "DM Mathematics" }
m of 204487, 408975, 613463? 204488*l - 1 What is the r'th term of 8482, 16570, 24656, 32740, 40822, 48902? -r**2 + 8091*r + 392 What is the o'th term of 80935, 161866, 242797? 80931*o + 4 What is the b'th term of -24, -112, -236, -378, -520, -644, -732, -766? 3*b**3 - 36*b**2 - b + 10 What is the j'th term of 3802264,...
{ "pile_set_name": "DM Mathematics" }
Calculate prob of picking 2 w and 1 f when three letters picked without replacement from wnxngfw. 1/35 What is prob of picking 3 o and 1 t when four letters picked without replacement from {o: 4, t: 3}? 12/35 Two letters picked without replacement from yypzzrzpzyzk. What is prob of picking 1 y and 1 z? 5/22 Calculate p...
{ "pile_set_name": "DM Mathematics" }
ommon divisor of 46 and 782? 46 Calculate the greatest common divisor of 360 and 300. 60 What is the highest common factor of 460 and 1035? 115 What is the greatest common factor of 11604 and 60? 12 Calculate the highest common divisor of 33 and 42. 3 Calculate the highest common divisor of 16 and 1264. 16 Calculate th...
{ "pile_set_name": "DM Mathematics" }
Put i, m, 2/5 in descending order. 2/5, i, m Let o = -4 + 4.3. Let s = -0.0913 + -0.0087. Put -0.3, o, s in increasing order. -0.3, s, o Let b be 16/88 + (-172)/(-22). Let c = -7 + b. Let k be 0/(0 - (-5)/((-5)/(-2))). Put c, -5, k in increasing order. -5, k, c Let k = 228 - 226. Sort k, 5, 21 in decreasing order. 21,...
{ "pile_set_name": "DM Mathematics" }
30) + sqrt(130)*3*1 + sqrt(130) - sqrt(130)) - sqrt(130))*-6*-3)/((sqrt(80)/sqrt(98))/sqrt(4)*1). 630*sqrt(13) Simplify ((-5 + (sqrt(567) - sqrt(63)) - (sqrt(441)/sqrt(7) + 2)) + (((sqrt(28) - sqrt(7)) + -1)*-6 - (sqrt(84)/sqrt(3) - -6*sqrt(63))))**2. 46*sqrt(7) + 3704 Simplify ((sqrt(3564)*2 + (sqrt(396) + (2*sqrt(396...
{ "pile_set_name": "DM Mathematics" }
177, 0, 322 Let -4*d**5 - 429*d**4 - 11452*d**3 + 3087*d**2 + 162314*d + 148200 = 0. Calculate d. -57, -50, -13/4, -1, 4 Let -2835*b**3 - 34740*b**2 + 977200*b + 12936000 = 0. What is b? -140/9, 132/7 Determine x so that -2*x**2 + 571700*x + 33165328 = 0. -58, 285908 Suppose 2*u**5/11 - 46*u**4/11 - 4740*u**3/11 - 5921...
{ "pile_set_name": "DM Mathematics" }
ere between 12:21 AM and 9:49 AM? 568 How many minutes are there between 9:24 PM and 5:48 AM? 504 What is 195 minutes after 6:47 PM? 10:02 PM How many minutes are there between 2:58 PM and 8:01 PM? 303 How many minutes are there between 4:16 PM and 1:49 AM? 573 How many minutes are there between 10:18 PM and 7:46 AM? 5...
{ "pile_set_name": "DM Mathematics" }
*-180. -540 Multiply -0.4 and -0.00179. 0.000716 -100 * -0.03 3 Multiply -0.3 and -0.956. 0.2868 20*0.1 2 -0.3 times 101.9 -30.57 Product of -0.2 and 0.702. -0.1404 -0.2 times 0.149 -0.0298 Calculate -0.0282*0.1. -0.00282 Work out -3 * 0.45. -1.35 Product of 4.2 and -55. -231 Product of -159 and 0.5. -79.5 Calculate 0....
{ "pile_set_name": "DM Mathematics" }
se o = 3*s - 2*o - 42, 1 = o. Suppose -4*v = -3*z + s, 0 = 2*z - 2 - 8. Suppose 2*i - 2 = -v*i. Is 2 greater than i? True Let a = 15.6 + -18. Let k = -2.38 - a. Which is smaller: 2 or k? k Suppose 3*u + 804 = 2061. Which is bigger: 417 or u? u Let z = -25.24 - -25. Let a = 51 - 51.34. Let j = z - a. Is j not equal to 1...
{ "pile_set_name": "DM Mathematics" }
7 + -374609? 9836238 What is -1 plus 1226091131085? 1226091131084 Add together 181669232764 and 297. 181669233061 What is -451185.8 take away -5747? -445438.8 What is -9117403.7837 less than 160? 9117563.7837 What is -19614567.62 + 18.3? -19614549.32 Total of 7.5 and -88708149547. -88708149539.5 What is -18752574 + -13...
{ "pile_set_name": "DM Mathematics" }
p**7/560 + p**6/72 - 13*p**5/10 + 42*p**2 + p. Let k(x) be the third derivative of o(x). Calculate k(10). 0 Let z(s) = -292*s**2 + 8*s - 9. Let p(g) = 251*g**2 - 8*g + 8. Let b(j) = 7*p(j) + 6*z(j). Give b(3). 23 Let g(m) = m**3 - 5*m**2 + 6*m - 1. Let x = 5386 - 5382. Give g(x). 7 Suppose 4*u = 548*x - 553*x + 5, -2*x...
{ "pile_set_name": "DM Mathematics" }
hich is greater: 0 or -32/30383? 0 Is -103995 greater than -103999? True Is -4560639 at least -4560638? False Is 50146 greater than 50145? True Which is smaller: -191 or -72? -191 Which is greater: -21/441853 or -1? -21/441853 Which is greater: -367/2 or -0.727? -0.727 Is 60349 equal to 60353? False Which is smaller: 1...
{ "pile_set_name": "DM Mathematics" }
without replacement from {s: 1, m: 2, y: 7, o: 7, f: 1}. What is prob of sequence sof? 7/4896 Two letters picked without replacement from {p: 2, i: 9, k: 5}. What is prob of sequence kp? 1/24 Four letters picked without replacement from {a: 4, k: 7, n: 2}. What is prob of sequence ankn? 7/2145 What is prob of sequence...
{ "pile_set_name": "DM Mathematics" }
9). 10 Let q(u) = u + 17. Determine q(-13). 4 Let l(b) = b - 33. What is l(2)? -31 Let u(o) = 8*o**2 - 1. Calculate u(-2). 31 Let y(k) = k**2 + 19*k - 19. Determine y(-20). 1 Let c(y) = y**3 - 5*y**2 - 4*y + 23. Give c(5). 3 Let j(t) = 3*t + 54. What is j(-17)? 3 Let w(z) = 11*z + 3. Calculate w(-7). -74 Let h(k) = -2*...
{ "pile_set_name": "DM Mathematics" }
- 3*u - 2. Let b be q(-2). Let r(z) = 9*z**2 - 7*z - 5. Is r(b) a composite number? True Let z = 803 + -478. Let d = 642 - z. Suppose -3*s = l - d, 3*s = l - 6*l + 1609. Is l a prime number? False Suppose -6 = l + 2*b, -9 = 5*l - 2*l + 3*b. Suppose -5*v + 4681 + 2929 = 5*k, l = 4*v. Is k a composite number? True Let u...
{ "pile_set_name": "DM Mathematics" }
Let m = o + 66. Calculate t(m). 6 Let q = -18 - -12. Let p(h) = -42*h - 1. Let b(o) = -40*o - 1. Let r(f) = q*b(f) + 5*p(f). Determine r(-1). -29 Let u(n) be the third derivative of -n**4/12 + n**3/3 - 2*n**2. Let x(b) = -7*b. Let z(j) = -2*u(j) + x(j). Calculate z(2). -10 Let y(a) = -2*a**3 - 108*a**2 - 128*a - 1166....
{ "pile_set_name": "DM Mathematics" }
tiple of 15? False Is 2 a factor of 278797456? True Does 25 divide 3566933800? True Is 8 a factor of 24875248? True Does 20 divide 873617739? False Does 16 divide 40170823? False Does 832 divide 445078172? False Is 410323580 a multiple of 167? False Is 145449664 a multiple of 32? True Is 2276565200 a multiple of 3679? ...
{ "pile_set_name": "DM Mathematics" }
4/7, l, 3/7? -4/7 Let u = 2707 - 2708. Which is the nearest to -3/13? (a) -2 (b) u (c) -2/7 (d) -3 c Let p = 20.5 - 20.3. Which is the nearest to 4? (a) 14 (b) 3 (c) p b Let r = 0.07 - 0.04. Let l = -5.03 + r. Let g = 29/10 - 17/5. Which is the nearest to g? (a) 5 (b) l (c) -0.3 c Let g(y) = -y**2 - 7*y - 6. ...
{ "pile_set_name": "DM Mathematics" }
4*m + 4*m)*(-3 + 3 + 2*m) + 1 + 3*m**3 - 1 + (2*m**2 + 2 - 2)*(2*m - 3*m + 3*m) to the form z*m + s*m**2 + g*m**3 + h and give g. 9 Express 15 - 14*y - 15 as g*y + f and give f. 0 Express 0*g + 3*g - 2*g + (1 - g - 1)*(-2 - 1 + 1) - 2*g + 2*g + g - g + g + 2*g + (29*g + 40*g + 7*g)*(1 + 2 - 4) in the form d + v*g and g...
{ "pile_set_name": "DM Mathematics" }
ich is the biggest value? (a) x (b) m (c) -0.4 b Let x = -47.6 + 52. Let d = -2.3 + x. Let a = -89.4 - -89. What is the smallest value in -1, a, d? -1 Let p = 637/3231 - -9/359. Suppose -2*o + 5*l = 28, 2*o - o - 2*l + 12 = 0. Let u = -6 - o. Which is the smallest value? (a) u (b) p (c) 4 a Let x = -22.731 + 30.7...
{ "pile_set_name": "DM Mathematics" }
termine n(y(z)). 18*z Let m(o) = o. Let f(n) = 1756*n**2 + 8003 - 8003. What is f(m(j))? 1756*j**2 Let t(z) = -11*z**2 + 10*z + 15. Let j(q) = 6*q**2 - 6*q - 9. Let n(g) = -10*j(g) - 6*t(g). Let f(v) = v**2 - 11*v. Determine f(n(k)). 36*k**4 - 66*k**2 Let v(y) = y**2. Suppose -j = 5*h - 9, 2*h - j - 9 = -2*h. Let w(l) ...
{ "pile_set_name": "DM Mathematics" }
uming v is positive. v**(34/5) Simplify (o*o**(-3/16))/o**(-6/5) assuming o is positive. o**(161/80) Simplify ((k/((k/(k*k**3)*k)/k))/k**(2/5))/(k/(k*k**(1/2)))**45 assuming k is positive. k**(261/10) Simplify ((t**2)**12)**(-5/8) assuming t is positive. t**(-15) Simplify w/(w*w*w*w**(-23)/w*w)*(w/w**29)/w assuming w i...
{ "pile_set_name": "DM Mathematics" }
of -65847*x**2 + 8*x - 38705. -131694 Find the second derivative of -13477*l**3 + 110*l - 473 wrt l. -80862*l What is the third derivative of 48*g**4 - 11496*g**3*r + 8*g**2*r - g*r - 22080*g wrt g? 1152*g - 68976*r What is the third derivative of -4*w**5 + 48596*w**3 + 263316*w**2? -240*w**2 + 291576 What is the deri...
{ "pile_set_name": "DM Mathematics" }
4)*-13)/(30 - -8)? 19 Let u = 409201199/139152 + -2090/8697. Let i = 2942 - u. What is the common denominator of i and (4945/66)/5 - (-310)/1705? 48 Let n = 79113127998709843/192348 - 411302056684. Let o = -7/7398 - n. What is the common denominator of -11/18 and o? 468 Let u(o) = -o**3 - 5*o**2 + 3*o - 3. Let a be u(-...
{ "pile_set_name": "DM Mathematics" }
t). What is the derivative of z(y) wrt y? 28*y Let h(f) be the first derivative of -f**5/5 - 263*f**4 + 2715*f**2 - 4926. What is the second derivative of h(o) wrt o? -12*o**2 - 6312*o Let k(g) be the first derivative of 0*g**3 + 36*g + 3/2*g**2 + 79 - g**4. Differentiate k(u) with respect to u. -12*u**2 + 3 Suppose 0*...
{ "pile_set_name": "DM Mathematics" }
0. Solve v = -5*k - 7 for k. -3 Let r(k) = 2*k**2 - 4*k. Let a be r(4). Solve -2*n = 2*n - a for n. 4 Suppose 2*p = -2*p + 4. Let q be 2/(-4 - -2) - p. Let t be 9/5*(-10)/q. Solve 0*z + t = -3*z for z. -3 Let b(x) = 2 - 3*x + 8*x - x + 2*x**2. Let k be b(-2). Suppose 3*w - 50 = -2*w. Solve -k*j + 0*j - w = 0 for j. -5 ...
{ "pile_set_name": "DM Mathematics" }
0111011 In base 6, what is 550 + 0? 550 In base 14, what is 7cc - 0? 7cc In base 8, what is -15 - 25? -42 In base 3, what is -1112 - -112? -1000 In base 5, what is -4 - -33? 24 In base 13, what is -1 + -178? -179 In base 4, what is -102 + 100103? 100001 In base 8, what is -200 + 4? -174 In base 16, what is -1e6 + -2? -...
{ "pile_set_name": "DM Mathematics" }
253 minutes after 5:32 PM? 9:45 PM What is 279 minutes before 8:58 AM? 4:19 AM What is 528 minutes before 2:48 PM? 6:00 AM What is 324 minutes before 1:47 PM? 8:23 AM What is 39 minutes after 12:10 PM? 12:49 PM What is 374 minutes after 5:23 PM? 11:37 PM How many minutes are there between 7:16 PM and 3:03 AM? 467 What...
{ "pile_set_name": "DM Mathematics" }
placement from {k: 4, x: 3, u: 4, s: 1, o: 7}. 2/323 What is prob of sequence ho when two letters picked without replacement from bhbbhooohbhhhoo? 1/7 What is prob of sequence sfhf when four letters picked without replacement from ysyyddddyfhfsdyd? 1/10920 Two letters picked without replacement from {q: 4, y: 2, r: 1, ...
{ "pile_set_name": "DM Mathematics" }
le of 8? False Is 40 a factor of 9522760? True Is 1704 a factor of 5234549? False Is 157 a factor of 1638609? True Is 32 a factor of 691466? False Is 231900 a multiple of 19? False Is 53 a factor of 37581? False Is 652420 a multiple of 15? False Is 328 a factor of 360386? False Is 10 a factor of 302460? True Is 134 a f...
{ "pile_set_name": "DM Mathematics" }
ond smallest value in 81/596, 0, 2/9? 81/596 What is the biggest value in 1/2, -2/19, 23? 23 Which is the second smallest value? (a) 3 (b) 0.5 (c) -107/4 (d) 61/5 b What is the smallest value in 14.2, -5/6, -11, -1? -11 What is the smallest value in -2, 27, -1/4, 2/3, 1849? -2 Which is the fourth biggest value? (a...
{ "pile_set_name": "DM Mathematics" }
se Let m = -48 - -66. Let s(y) = -9*y + 232. Let x be s(m). Is 3 greater than x? False Let p(b) = -54*b + 282. Let h be p(5). Suppose -3*y - 3*g + 3 = 12, y = 4*g + h. Are y and 10/107 nonequal? True Let b = -234517791/3221 - -72809. Which is greater: -1 or b? b Let b be -23 - ((-52)/(-14) - ((-752)/(-112) + -7)). Supp...
{ "pile_set_name": "DM Mathematics" }
/(-3). 5 Suppose 13*x + 5143 = 5221. Let y = -14 + 39. What is the remainder when y is divided by x? 1 Suppose -2*i + i + 65 = -3*g, g + 219 = 3*i. Suppose -71*d - 333 = -i*d. What is the remainder when d is divided by 19? 16 Let c(u) = 2*u**3 + 6*u**2 + 3*u - 2. Calculate the remainder when c(3) is divided by 59. 56 W...
{ "pile_set_name": "DM Mathematics" }
o letters picked without replacement from xxhxhxhxxh. What is prob of picking 2 x? 1/3 What is prob of picking 1 h and 1 u when two letters picked without replacement from {f: 2, u: 1, p: 7, h: 8}? 8/153 Four letters picked without replacement from bwbuuwbbvunvn. What is prob of picking 2 v, 1 n, and 1 w? 4/715 Three l...
{ "pile_set_name": "DM Mathematics" }
What is the greatest common divisor of 247 and z? 19 Let k = -68 + 69. Let r = 10 - 1. What is the highest common factor of r and k? 1 Suppose -7*i + 78 = 6*i. Suppose -g + 15 = 3*k, 2*g + i = 4*g. What is the greatest common divisor of k and 16? 4 Let r = -17 + 39. Let a(b) = -b**2 - 9*b - 5. Let g be a(-8). Suppose ...
{ "pile_set_name": "DM Mathematics" }
2 + -2 + 28 - (8 - -22)? -16 Calculate -3 - (-17 - -30) - -44. 28 Calculate (13 - (29 - 5)) + 3. -8 What is the value of 10 + (-5 + 6 - 1 - 5) + 4? 9 What is 20 - ((0 - (12 - 3)) + 10)? 19 What is (5 - -17 - 16) + -16? -10 What is the value of 3 + 12 - 6 - (15 + -6)? 0 Calculate -11 - (-3 - ((9 - 14) + -6)). -19 -25 + ...
{ "pile_set_name": "DM Mathematics" }