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= -5*a, m*a = 6*a + 4*o + 4 for a. 0 Suppose -2*k = -g + 41, 5*g = -k + 6*k + 225. Let u = -44 + g. Solve -u*d + 20 - 45 = 0, 0 = 4*a + 4*d + 8 for a. 3 Let m(w) = w**3 + 14*w**2 - 50*w + 20. Let i = 139 - 156. Let u be m(i). Solve t - 11 = 5*y, 3*y = 3*t + u - 12 for y. -2 Suppose -2*g - 16 = 0, 167*k - 43 = 164*k - ...
{ "pile_set_name": "DM Mathematics" }
*g + f, 5*g - 16 = -c - 4 for c. 2 Let g = -79084 - -79088. Let w be ((-6)/(-4))/((-2)/(-4)). Solve -2*d = -w*f - 4*d + 23, g*d - 41 = -5*f for f. 5 Let c(i) = 43 + 39*i**2 - 18 + 24*i - 79*i**2 + 39*i**2. Let p be 2/7 - 692/(-28). Let a be c(p). Solve -2*b + g = a, -3*g - g = 5*b - 13 for b. 1 Let b(a) = a. Let q be b...
{ "pile_set_name": "DM Mathematics" }
ind the third derivative of -3*l**6 + 2*l**j - 7*l**6 - 19*l**2 + 2*l**6 wrt l. -960*l**3 Let n(y) be the first derivative of 698*y**3/3 - y**2 - 18*y + 372. Find the second derivative of n(b) wrt b. 1396 Let b(q) be the third derivative of 8*q**7/35 + 49*q**4/24 - 51*q**2. Find the second derivative of b(u) wrt u. 576...
{ "pile_set_name": "DM Mathematics" }
Let o(a) = 450*a + 8834. What is o(-19)? 284 Let a(j) = -14*j**3 + 74*j**2 - 44*j + 195. Calculate a(7). -1289 Let y(g) = 210*g**3 - 390*g**2 - 40*g + 73. What is y(2)? 113 Let l(b) = -b**3 + 10*b**2 - 24*b + 55. What is l(13)? -764 Let j(d) = 2*d**2 - 340*d - 82481. Calculate j(305). -131 Let s(v) = -3*v**2 + 243*v - ...
{ "pile_set_name": "DM Mathematics" }
s of v(-17)? 41 Suppose -7*u + 2*u = 25, -4*g = -4*u - 164. Suppose 3*n - n + 5*a - 64 = 0, -2*n = -2*a - g. What are the prime factors of n? 2, 11 What are the prime factors of (-3 + 30)*88/12? 2, 3, 11 Let n be (-8)/(-12)*1*63. Suppose -5*r + 157 = n. What are the prime factors of r? 23 List the prime factors of (-11...
{ "pile_set_name": "DM Mathematics" }
two letters picked without replacement from {t: 4}? 1 Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {e: 2, l: 1}. 2/3 Four letters picked without replacement from ggccgocgcocg. What is prob of picking 3 g and 1 c? 10/99 Three letters picked without replacement from ibqqggyybiabb...
{ "pile_set_name": "DM Mathematics" }
st derivative of -2 - 1/3*t**m + 0*t + 0*t**2. Let j(g) = -g**2. Give j(n(p)). -p**4 Let j(k) = k**2 - 10*k + 11*k - k. Let i be 1/(-2)*-2 - -1. Let a(u) = -3*u**i + 3*u**2 - u**2. Determine j(a(t)). t**4 Let y(i) = 73*i. Let o(t) = -t**2. Determine y(o(v)). -73*v**2 Let d = -21 - -23. Let k(v) = -d*v**2 + v - 2*v + v....
{ "pile_set_name": "DM Mathematics" }
. Solve t = -2*c - 2 for c. -2 Let h = 5 - 2. Suppose -h*k - 2 = -14. Solve 3 = k*x + 11 for x. -2 Let l(a) = a + 7. Let t(b) = -b - 7. Let w be t(-7). Let g be l(w). Let j be (-1)/2*(-35 - 1). Solve -5*v - j = g for v. -5 Let c = 19 - 9. Let i be 4*-1*(-3)/(-3). Let j be 2/8 - 11/i. Solve 0 = -2*y - j*y + c for y. 2 S...
{ "pile_set_name": "DM Mathematics" }
e units digit of g(-12)? 5 Suppose 0 = -3*s - 396*h + 391*h + 26713, -h + 35623 = 4*s. What is the thousands digit of s? 8 Let o(i) be the third derivative of i**5/60 - i**4/12 - 2*i**3/3 - 5*i**2. Let w be o(-2). What is the tens digit of (w/(16/(-10)))/((-7)/70)? 2 What is the units digit of (561 + -542)/(2/754)? 3 L...
{ "pile_set_name": "DM Mathematics" }
hat is fifty-seven halves of a tonne in kilograms? 28500 How many minutes are there in twenty-seven fifths of a hour? 324 How many grams are there in 1.997464kg? 1997.464 How many milligrams are there in 845559.3t? 845559300000000 What is 847252.8 centuries in millennia? 84725.28 How many nanograms are there in 288.996...
{ "pile_set_name": "DM Mathematics" }
ple of 11? False Is 50 a factor of 900? True Is 79 a factor of 3318? True Is 43 a factor of 817? True Does 20 divide 900? True Is 57 a factor of 13281? True Is 9 a factor of 937? False Does 18 divide 41036? False Does 32 divide 1828? False Is 788 a multiple of 10? False Does 50 divide 33300? True Does 23 divide 58397? ...
{ "pile_set_name": "DM Mathematics" }
-4, -1624. -1624, -188, -5, -4 Sort 0.06, 198, -3.2, 0. -3.2, 0, 0.06, 198 Sort 49, 3, -2, -3, 2 in increasing order. -3, -2, 2, 3, 49 Put 3, -21, -2, 1, -8, -467 in decreasing order. 3, 1, -2, -8, -21, -467 Sort 0, -3, -5, -2, -5135 in decreasing order. 0, -2, -3, -5, -5135 Put 0, 4, -3, 240, 18 in ascending order. -3...
{ "pile_set_name": "DM Mathematics" }
Find the second derivative of u(q) wrt q. 3800*q**3 - 12*q Let j(y) be the second derivative of 34*y**7/3 + 391*y**4/12 - 682*y. Find the third derivative of j(b) wrt b. 28560*b**2 Let k(o) = -159*o**4 + 26*o - 260. Let s(v) = -40*v**4 + 6*v - 65. Let p(z) = -6*k(z) + 26*s(z). What is the derivative of p(h) wrt h? -344...
{ "pile_set_name": "DM Mathematics" }
s digit of 485/2 - t/(-2)? 4 Let s(u) = -1607*u - 24 - 1607*u + 3052*u. What is the thousands digit of s(-8)? 1 Let h be (3 - (-9 + -144))/(2/6). Suppose f - h = -3*w - 2*f, 4*w + 2*f = 622. What is the hundreds digit of w? 1 Suppose -1282*b + 3047720 = -1178*b. What is the units digit of b? 5 Suppose 2*j - 5*c = 22243...
{ "pile_set_name": "DM Mathematics" }
wrt m. -266*h**2 Find the second derivative of 4*m**4*z**2 - 43*m**4 - m**2*z + 2*m*z**2 + 325*m*z wrt m. 48*m**2*z**2 - 516*m**2 - 2*z What is the third derivative of 6*n*p*u**3 + 14*n*p*u**2 - n - 119*p*u**3 + 3*p - 5*u**2 wrt u? 36*n*p - 714*p Find the second derivative of -3*g**2*r**3 - 23*g**2*r + 6*g*o*r - 228*o*...
{ "pile_set_name": "DM Mathematics" }
0:53 PM? 9:12 PM What is 296 minutes before 6:36 PM? 1:40 PM How many minutes are there between 8:43 AM and 1:45 PM? 302 What is 62 minutes before 4:47 PM? 3:45 PM What is 470 minutes after 4:27 AM? 12:17 PM How many minutes are there between 10:00 AM and 7:41 PM? 581 What is 374 minutes before 7:44 PM? 1:30 PM How man...
{ "pile_set_name": "DM Mathematics" }
ive q(a(p)). 18*p**2 Let m(p) be the second derivative of p**3/3 - 2*p. Let j = -1 + 4. Let a(x) = j + 2*x**2 - 1 - 2. Determine a(m(w)). 8*w**2 Suppose -b = 4 - 6. Let w(r) = 2*r + 1. Let y be w(1). Let s(z) = -y*z**2 - 3*z**2 + 3*z**b. Let q(m) = -2*m. Determine s(q(f)). -12*f**2 Let k(f) = f. Let m(r) = 643*r. Give ...
{ "pile_set_name": "DM Mathematics" }
e -r - 4*r = n for r. -3 Let y(g) = g**3 + 15*g**2 + 12*g - 28. Let r be y(-14). Solve r + 20 = 5*k for k. 4 Suppose -3*b + 179 = 5*r, -r = b - 4*r - 41. Suppose -69 = -4*v - b. Solve -v*o - 1 + 17 = 0 for o. 4 Suppose 0 = 6*v - 39 + 9. Suppose -5*k + j = -0*j - 12, j - 18 = -v*k. Solve -2 = 5*w + k for w. -1 Suppose -...
{ "pile_set_name": "DM Mathematics" }
vert 18878 (base 11) to base 7. 136541 1162302 (base 7) to base 8 444301 What is -11200323113 (base 4) in base 12? -59869b 18766247 (base 9) to base 8 44152511 Convert 14232404 (base 5) to base 6. 3110144 What is -332073 (base 8) in base 6? -2221003 What is -170284 (base 12) in base 5? -100104442 Convert 11000010101110...
{ "pile_set_name": "DM Mathematics" }
he common denominator of ((-2)/10)/(-3 - 121/(-33)) and q. 30 Let v be 1*(-1)/(-2)*34. Let c = -8 + v. Suppose -14 - 13 = -3*b. What is the least common multiple of b and c? 9 Let m = 5837/1420 + -3/284. What is the common denominator of m and 13/4? 20 Let f = 39019/9 - 4331. Let v(n) = n**3 - 2*n**2 - 7*n + 6. Let o b...
{ "pile_set_name": "DM Mathematics" }
4, g: 3}? 1/20 Calculate prob of picking 1 w and 2 m when three letters picked without replacement from {v: 3, w: 1, m: 7, z: 3}. 3/52 Calculate prob of picking 2 u and 1 v when three letters picked without replacement from {u: 3, h: 4, v: 13}. 13/380 What is prob of picking 1 q, 1 w, and 1 i when three letters picked...
{ "pile_set_name": "DM Mathematics" }
2*k**2 Let y(u) = 7*u**3 + 68*u - 43. Let b(r) = 2*r**3 + 23*r - 15. Let s(i) = -17*b(i) + 6*y(i). Let c(d) = -3*d**3 - 6*d + 1. Calculate 17*c(m) + 6*s(m). -3*m**3 - 1 Let s(r) = 9*r**2 + 4*r**2 - 3 - 13*r + 1. Let c = 24 - 3. Let d = 25 - c. Let a(h) = -6*h**2 + 6*h + 1. Calculate d*s(v) + 9*a(v). -2*v**2 + 2*v + 1 ...
{ "pile_set_name": "DM Mathematics" }
24 + -22e7? -22c3 In base 16, what is a54 - aa? 9aa In base 6, what is 14553 + -34? 14515 In base 16, what is -9d + 13f8? 135b In base 7, what is -4 + -3605? -3612 In base 9, what is -62 - -16008? 15836 In base 12, what is -a719 + -10? -a729 In base 2, what is -10 + 10110001011010? 10110001011000 In base 7, what is -5...
{ "pile_set_name": "DM Mathematics" }
)/((-3)/(-4)). Let a(n) = 15*n**2 - n - 1. Let j be a(u). Suppose 5*i - 203 = -3*c, -5*c + 2*i = j - 420. What is the units digit of c? 1 Let d(h) = h**3 - 20*h**2 - 21*h - 81. Let f be d(21). Let o = f + 152. What is the units digit of o? 1 Suppose -1132*g + 416*g + 9153742 - 1446718 = 0. What is the tens digit of g? ...
{ "pile_set_name": "DM Mathematics" }
prob of sequence eyy when three letters picked without replacement from yyyyeeeeeyee? 7/66 Two letters picked without replacement from ttkpptautpuppuppk. What is prob of sequence pa? 7/272 What is prob of sequence jjj when three letters picked without replacement from {j: 19, w: 1}? 17/20 Calculate prob of sequence tr...
{ "pile_set_name": "DM Mathematics" }
205234)/(-1513). -136 (-2)/((163/(-489))/(191/(-16))) + (-15)/(-24) -71 (-233730)/(-43407) - (-5)/(-1) 5/13 Evaluate (-306726)/109545*(-390)/28. 39 10/6*(-170 + 15 - -158) 5 What is the value of ((-64)/(-20))/(858/240)*1 + (-986)/(-5423)? 14/13 Calculate (-1093683)/346024 - (-18)/14. -15/8 What is the value of 44 + 382...
{ "pile_set_name": "DM Mathematics" }
Convert 11000000110101000101 (base 2) to base 12. 3210b1 What is -134024433 (base 5) in base 10? -689368 Convert 813614 (base 9) to base 2. 1110101100101100111 What is 1304505 (base 10) in base 16? 13e7b9 -454072 (base 10) to base 7 -3600553 What is -561206 (base 8) in base 5? -22022222 Convert -15712050 (base 8) to ba...
{ "pile_set_name": "DM Mathematics" }
j + 15, 0 = 2*k - 5*j - 13 for k. 4 Let j = 4692 - 4684. Solve -8*a + 10*a = -4*g + 4, g = 3*a + j for g. 2 Suppose 5*j - 2*v - 9 - 12 = 0, 3*j = 2*v + 11. Solve 6*r - 33 = j*c + 2*r, -4*c - 10 = 5*r for c. -5 Let j(c) = 2*c**3 + 2*c**2 - 7*c + 6. Let d be j(-6). Let n be ((-702)/d)/(6/8). Solve 0 = -5*g - b + 23, 0*g ...
{ "pile_set_name": "DM Mathematics" }
. 14*k**2 + 7*k Expand (-6 - i + 6)*(44 + 90 - 25). -109*i Expand -2008*n - 39*n**2 + 2008*n + (0 + n + 0)*(-1 + 1 - 3*n). -42*n**2 Expand (2 - 6 + 1)*(r**4 + r**4 - r**4) + 2592*r**2 + 13*r**4 - 2592*r**2. 10*r**4 Expand (-2 + 2 + 2*u)*(-3 + 2*u + 3) + 0 + 2*u**2 + 0 + 0*u**2 + 0*u**2 - u**2 + 285*u**2 - 78*u**2 - 57*...
{ "pile_set_name": "DM Mathematics" }
0800 divided by 16800. -9281 Calculate 4594660 divided by -2590. -1774 Calculate -17825324 divided by -82. 217382 What is -207381126 divided by 2? -103690563 What is 2 divided by 78175195? 2/78175195 Calculate 8508000 divided by 11344. 750 Divide -1171387 by -64. 1171387/64 Divide -50062767 by -16687589. 3 Divide 5926 ...
{ "pile_set_name": "DM Mathematics" }
*2 + 3*l*t - 5*l + 7*t**5 wrt t. -2*a*l - 2*a + 140*t**3 Find the second derivative of 2*l*p**3 - 70*l*p**2 - 24*l*p + 14*l + 9*p**3 wrt p. 12*l*p - 140*l + 54*p What is the second derivative of -4*u**5 - 31*u**2 + u + 117 wrt u? -80*u**3 - 62 Find the third derivative of 2*d**2*u**4 - 4*d**2*u**2 + 69*d**2 - 1357*u**4...
{ "pile_set_name": "DM Mathematics" }
? t Let b = 0 - -0.1. Let t = -0.1 + b. Let v = -1 + t. Which is smaller: -0.3 or v? v Let w = -367 + 374.04. Let g = w + -0.04. Let h = 5 - g. Is 2/9 <= h? False Let o be 4 + 2/1*-1. Let d be ((-12)/99)/(o/9). Suppose 3*g + 12 - 6 = 2*i, g = -4*i - 2. Do d and g have the same value? False Let s = 7.1 + -7. Let a = -1....
{ "pile_set_name": "DM Mathematics" }
e 2*q - 39 = -q. Let w(y) = y**2 + y + 24. What is the remainder when w(0) is divided by q? 11 Let k = -14 + 24. Suppose -k = -2*u + u. Calculate the remainder when -3 - 0 - -1 - -21 is divided by u. 9 Let g be (-4)/14 - (-32)/14. Suppose 2*d - 2*f + 6*f = 22, -3 = -d + g*f. What is the remainder when 26 is divided by ...
{ "pile_set_name": "DM Mathematics" }
Let l(i) = -59*i + 92. Let r(j) = 7*j - 12. Give 6*l(p) + 51*r(p). 3*p - 60 Let h be (-2)/9 - (-32)/(-18). Let o(i) be the first derivative of -i**3 - i**2 - 2*i + 609. Let m(q) = 3*q**2 + 3*q + 3. What is h*m(y) - 3*o(y)? 3*y**2 Let u(n) = -n**2 - n + 1. Let d be 2 - (6/(-2) - -2). Let b(q) = -2*q**2 - 3*q + 3. Let i ...
{ "pile_set_name": "DM Mathematics" }
c/30) prime? False Let q = -74 + -57. Let r be (-25)/((11/(-8))/11). Let a = r + q. Is a a prime number? False Let h(y) = 2*y**2 - y + 6*y - 29*y**3 - 18 + 17. Let k(v) = 28*v**3 - 2*v**2 - 4*v + 2. Let p(l) = 3*h(l) + 2*k(l). Is p(-3) composite? True Let c(t) = 908*t**2 + 42*t - 509. Is c(9) composite? False Let s(t) ...
{ "pile_set_name": "DM Mathematics" }
9. Which is the closest to d? (a) w (b) 1/4 (c) 0.4 b Let d = -1 + 0.8. Let m be -636 - -646 - 73/7. Which is the nearest to -3? (a) 0 (b) m (c) d b Suppose 2*s = 4*v + 536, -2*v - 18*s - 276 = -20*s. What is the nearest to 0 in v, 1, 8? 1 Let s = 18.8 - 19. Let h(j) = 3*j. Let q be h(1). Let n = -0.37 + 1.37. Wh...
{ "pile_set_name": "DM Mathematics" }
2*a**2 - 4*a - 7. Let v be h(-9). Let y be v/(-30)*(-1)/4. Let l = y + -21/10. Is -1 at most l? True Let f = -83.7 + 1.7. Let m = -65 - f. Which is smaller: 1/4 or m? 1/4 Let v(q) = -4*q**2 + 39*q + 9. Let d be v(10). Which is smaller: -61 or d? -61 Let l be (-2)/(-9) + (-4136)/(-18). Let n = l + -2532/11. Let c = -57....
{ "pile_set_name": "DM Mathematics" }
). Find the third derivative of w**2 - u*w**4 + 16*w**4 + 2*w**2 wrt w. 168*w Let n(m) be the first derivative of -101*m**2 - 293*m + 226. Differentiate n(z) with respect to z. -202 Let x be 1*-1 - (0 - 2). Let z be (-1258)/(-518) + (-4)/(-7). Differentiate -q**2 - 1 + z - x wrt q. -2*q Find the third derivative of -13...
{ "pile_set_name": "DM Mathematics" }
3? 4 What is the thousands digit of 10198? 0 What is the ten thousands digit of 228840? 2 What is the units digit of 5955069? 9 What is the units digit of 1916502? 2 What is the tens digit of 283127? 2 What is the units digit of 406528? 8 What is the tens digit of 1458001? 0 What is the units digit of 7754453? 3 What i...
{ "pile_set_name": "DM Mathematics" }
sqrt(2)) + sqrt(2) + -1*sqrt(10)/sqrt(5) + sqrt(2). 2*sqrt(2) Simplify sqrt(24)/(sqrt(24)/(sqrt(2)*1)) + -1. -1 + sqrt(2) Simplify (sqrt(108) + 2*sqrt(108))*3. 54*sqrt(3) Simplify (sqrt(128) + (sqrt(128) - (-1 + sqrt(128) + 0)))**2. 16*sqrt(2) + 129 Simplify (-3 + ((sqrt(99) + sqrt(99) + -1)*4 - 2*(sqrt(99)*-1 - sqrt(9...
{ "pile_set_name": "DM Mathematics" }
se -5*t = -236 - y. What is the greatest common factor of t and 3? 3 Let q(j) = j**3 + 7*j**2 + 5*j + 8. Let p be q(-6). Suppose -15624 = 79*i - 236*i - 91*i. Calculate the greatest common divisor of p and i. 7 Suppose -j = -10*w + 20, -5*j + 0*w + 92 = -2*w. Calculate the highest common divisor of 20 and j. 20 Let d(c...
{ "pile_set_name": "DM Mathematics" }
- (sqrt(360) + 2*sqrt(360)*1 + sqrt(360))). -7*sqrt(2)/6 Simplify (4*(1 + sqrt(180) + sqrt(180)) + 2 + -1*(sqrt(5) + sqrt(20)/sqrt(4)) + sqrt(5))**2. 564*sqrt(5) + 11081 Simplify (-2*(sqrt(80) - (sqrt(80) + -2*(sqrt(80) + sqrt(80)*-3)))*6)**2. 184320 Simplify (2*-1*sqrt(288) - (sqrt(288) - (-4 + 4*sqrt(288) - sqrt(288...
{ "pile_set_name": "DM Mathematics" }
Solve j = 2, -2*b + 5*j = 5 + u for b. -1 Let p(j) = -29 + 46*j + 38 - 11*j - 164. Let g be p(5). Solve d - 15 = 4*q, -3*q + 4*d = 5*d + g for q. -5 Let g(h) be the third derivative of h**5/30 - 11*h**4/12 + 11*h**3/6 - 13*h**2. Let d be g(12). Solve -4*s + d = 3*k - 6*k, -3*s = k - 10 for s. 5 Suppose 0 = -0*h - h + ...
{ "pile_set_name": "DM Mathematics" }
cked without replacement from tatbttkhtttkttqaqbt? 2/2907 Calculate prob of sequence bqeb when four letters picked without replacement from {q: 1, e: 1, b: 2, m: 2, g: 1}. 1/420 What is prob of sequence xny when three letters picked without replacement from ryrtyxtytrrnprrpxtyn? 2/855 Two letters picked without replace...
{ "pile_set_name": "DM Mathematics" }
se -6*z = -q - 0. List the prime factors of z. 5, 13 Suppose -3*j + 9 = -q, j + 8 = -q + 5*q. Let p(f) = f**2 - 5*f + 2. Let m be p(q). Let s = m - -56. What are the prime factors of s? 2, 13 Let p = 88 - 83. Suppose 2*o + 2*u = 53 + 27, o - 52 = -p*u. List the prime factors of o. 37 Let t = -163 + 276. Let a = t - 57....
{ "pile_set_name": "DM Mathematics" }
d: 5, i: 4, c: 8}? 1/119 What is prob of sequence dp when two letters picked without replacement from ddddddddpddddpddddd? 17/171 What is prob of sequence pvnv when four letters picked without replacement from {d: 2, c: 1, p: 2, n: 1, q: 7, v: 2}? 1/8190 Two letters picked without replacement from mcciluxmu. What is pr...
{ "pile_set_name": "DM Mathematics" }
What is the smallest value in 1, 0, k, s? k Let f = -16364 - -49088/3. Which is the smallest value? (a) -0.9 (b) 2 (c) f c Let k = 1222 + -18352/15. Let r = k + 131/120. Let j = -5/3 - -4/3. Which is the fourth smallest value? (a) -2/11 (b) j (c) 1/2 (d) r c Let s = 40665 - 40669. Which is the third smallest va...
{ "pile_set_name": "DM Mathematics" }
*p - 6. Determine 6*s(d) - 11*v(d). -22*d**3 Suppose -3*c + 5*c = -4. Let l(h) be the second derivative of -13*h**3/6 - 9*h**2/2 - 25*h. Let r(b) = 3*b + 2. Calculate c*l(g) - 9*r(g). -g Let t(p) = -1. Let k(b) = b - 5. Let s(y) = y - 4. Let c(x) = 4*k(x) - 6*s(x). What is -c(q) - 3*t(q)? 2*q - 1 Let y(b) = -5*b**3 - 2...
{ "pile_set_name": "DM Mathematics" }
11 Calculate the remainder when 16206 is divided by 16. 14 What is the remainder when 97 is divided by 55? 42 Calculate the remainder when 207 is divided by 71. 65 Calculate the remainder when 75 is divided by 51. 24 Calculate the remainder when 138 is divided by 122. 16 Calculate the remainder when 191 is divided by 3...
{ "pile_set_name": "DM Mathematics" }
rty-three tenths of a milligram in micrograms? 3300 How many meters are there in 11/8 of a kilometer? 1375 What is 3/50 of a centimeter in micrometers? 600 Convert 2720.5101s to hours. 0.75569725 How many nanograms are there in 21/5 of a microgram? 4200 Convert 358970.7ml to litres. 358.9707 What is 26661.516ms in minu...
{ "pile_set_name": "DM Mathematics" }
*l + 4*l, 0 = -5*s + 5. Suppose 8*z + z = l. Is 32 a factor of f(z)? True Let w(a) = -a**3 + 29*a**2 + 8*a + 161. Is 13 a factor of w(22)? False Let w be 5 - 1*(6 + 328). Let l = -241 - w. Does 4 divide l? True Let i = -31 + 41. Suppose y + 3*f = 53, -2*f = 5*y - i*y + 180. Does 2 divide y? True Let x = 259 + -257. Doe...
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from {p: 1, k: 2, h: 4, l: 2, a: 2, r: 1}. What is prob of sequence la? 1/33 Calculate prob of sequence gg when two letters picked without replacement from qqqggq. 1/15 Calculate prob of sequence zzg when three letters picked without replacement from {p: 1, g: 2, a: 1, w: 1, z: 4}. 1/21 ...
{ "pile_set_name": "DM Mathematics" }
0 Express b**2 - 115*b + 0*b**2 + 7*b as v*b + g*b**2 + u and give v. -108 Express c**2 + 0 - c + c**3 - 4 + 1 + 2*c**3 - c + c + (-c + c - c)*(0*c**2 - 2*c**2 + c**2) + 12 - 12 + 10*c**3 as o*c**3 + q*c**2 + w + k*c and give q. 1 Express (64*k**3 - 868*k**2 + 868*k**2)*(k - 3*k + 4*k)*(-4 + 1 - 2) as c*k + f*k**4 + z...
{ "pile_set_name": "DM Mathematics" }
est integer? 2 What is the third root of 138993 to the nearest integer? 52 What is 36131 to the power of 1/9, to the nearest integer? 3 What is 13067 to the power of 1/2, to the nearest integer? 114 What is the sixth root of 157478 to the nearest integer? 7 What is 11812 to the power of 1/5, to the nearest integer? 7 W...
{ "pile_set_name": "DM Mathematics" }
h**4 - 8 - 83*h**3 + 162*h**3 - 83*h**3 = 0. -2, 1, 4 Let x be (106/4)/((-25)/10 - -6) - 7. Let 0 + x*h**4 + 4/7*h**3 - 16/7*h - 16/7*h**2 = 0. What is h? -2, -1, 0, 2 Determine w, given that 0 + 22*w**3 - 36*w - 2*w**5 + 42*w**2 - 14/3*w**4 = 0. -3, 0, 2/3, 3 Let a(h) be the third derivative of h**5/12 + 25*h**4/24 +...
{ "pile_set_name": "DM Mathematics" }
3 - q. Let r = 49 + -195/4. Put -0.5, l, r in increasing order. -0.5, r, l Suppose 2 = d - 1. Let s(r) = r**3 - 4*r**2 - r - 6. Let x be s(5). Let u = 10 - x. Sort d, u, -1 in descending order. d, -1, u Suppose -i + 8 + 20 = 5*u, 5*u - 19 = 2*i. Suppose 6 = -6*x + 4*x, 0 = -o + 3*x + 18. Let f = u - o. Sort 0, f, -1 in...
{ "pile_set_name": "DM Mathematics" }
Let u(c) = c. Let d(r) be the second derivative of -5*r**3/6 - 2*r - 25. Calculate -d(i) + 6*u(i). 11*i Let h(q) = -6*q**3 + 20*q**2 + 11*q. Suppose 37*v - 33*v = -44. Let a(g) = -2*g**3 + 7*g**2 + 4*g. Calculate v*a(k) + 4*h(k). -2*k**3 + 3*k**2 Let t(q) be the third derivative of -7*q**5/30 - 5*q**3/3 + 4*q**2. Let i...
{ "pile_set_name": "DM Mathematics" }
Let b = -13 + q. Sort b, 2, -3 in ascending order. -3, b, 2 Let l be 30/9*-10*207/42. Let z = l - -164. Sort -4, 3, z in decreasing order. 3, z, -4 Let p = 298 - 301. Sort -2.7, p, 1, -9. -9, p, -2.7, 1 Suppose -25 = x - 6*x. Let a(t) = t + 5. Let k be a(-6). Let o = k + 3. Sort x, 3, o in descending order. x, 3, o Le...
{ "pile_set_name": "DM Mathematics" }
en four letters picked without replacement from cccjacuacrrsauu? 1/1092 Calculate prob of sequence xq when two letters picked without replacement from {x: 3, q: 1, f: 5, a: 1}. 1/30 Two letters picked without replacement from {s: 8, t: 1, e: 6}. What is prob of sequence tt? 0 Calculate prob of sequence iqi when three l...
{ "pile_set_name": "DM Mathematics" }
a factor of (15/4)/(4/s)? False Let z be -39 - (2 - (-1 - -1)). Let r be 2/(-4) - 131/(-2). Let q = z + r. Is q a multiple of 8? True Let d be 10/(-25) - 17/(-5). Suppose 5*s + 3 + 2 = 0, d*s = -2*p + 113. Suppose -6*i - 2*f + p = -2*i, 2*i - 38 = -4*f. Is 5 a factor of i? False Suppose -3*w = -76 - 8. Let c = w - -16....
{ "pile_set_name": "DM Mathematics" }
9 381 (base 14) to base 16 2bd 13303302 (base 4) to base 9 47780 Convert -11402 (base 5) to base 11. -705 What is 20432 (base 6) in base 5? 42011 What is -1101101010 (base 2) in base 7? -2356 What is 2788 (base 9) in base 6? 13425 What is -1442333 (base 5) in base 7? -156200 What is c8aa (base 15) in base 9? 64217 Conv...
{ "pile_set_name": "DM Mathematics" }
-30583 In base 11, what is -14651451 - -15? -14651437 In base 3, what is 11 + 101010101010100001? 101010101010100012 In base 13, what is -399c477 + 3? -399c474 In base 11, what is -476 + 93028? 92662 In base 9, what is -35706 + -10265? -46072 In base 3, what is 110002101100222 + -2? 110002101100220 In base 7, what is ...
{ "pile_set_name": "DM Mathematics" }
common denominator of -22/9 and q. 63 Let w = 3757901745001/5580 + -673459099. Let t = 4/1395 - w. Calculate the common denominator of (-1)/(-16)*(-484)/(-10) and t. 120 Let t(h) = h**3 + 6*h**2 - h + 5. Let y be t(-6). Find the common denominator of (8/(-32))/(7/(-15)) and 0 + (286/12)/y. 84 Let f(i) = -2*i**2 + 9*i -...
{ "pile_set_name": "DM Mathematics" }
69 rounded to the nearest one hundred? 11904700 Round 0.0004062916 to six decimal places. 0.000406 What is -0.169080897 rounded to 3 decimal places? -0.169 Round -0.0000154902094 to six decimal places. -0.000015 What is -3184779.9 rounded to the nearest ten thousand? -3180000 What is 401287270 rounded to the nearest on...
{ "pile_set_name": "DM Mathematics" }
- 37*y. y*(y - 2)*(y + 37)/2 Determine o, given that -4*o**2 - 244*o - 696 = 0. -58, -3 Suppose -2*y**3 + 148*y**2 - 678*y - 828 = 0. Calculate y. -1, 6, 69 Factor -4*y**4 + 72*y**3 - 244*y**2 - 720*y - 400. -4*(y - 10)**2*(y + 1)**2 Determine n, given that -n**5/2 + 2*n**4/3 + 7*n**3/6 - 2*n**2/3 - 2*n/3 = 0. -1, -2/...
{ "pile_set_name": "DM Mathematics" }
the common denominator of 11/457477 and -22/3968347? 170638921 What is the common denominator of -125/782802 and -47/2770? 3914010 Calculate the common denominator of 139/1386 and -35/27822. 6426882 What is the common denominator of 23/140 and -63/109599320? 767195240 What is the least common multiple of 30381975 and 1...
{ "pile_set_name": "DM Mathematics" }
placement from oooohohoohohhoohooo. Give prob of sequence hoo. 52/323 Three letters picked without replacement from {x: 6, e: 1, r: 7, f: 2, s: 3}. Give prob of sequence esx. 1/323 What is prob of sequence ccb when three letters picked without replacement from cccb? 1/4 Three letters picked without replacement from iki...
{ "pile_set_name": "DM Mathematics" }
08111624/33535 + -3933446. Let m = y - 996057032/1106655. Let q = m + 900. Which is the second smallest value? (a) -1/3 (b) 3 (c) q c Let w be -4 - 0 - 1075/20. Let o = 58 + w. Which is the third biggest value? (a) 0.2 (b) 10 (c) o a Let n = 0.213 - 7.403. Which is the second smallest value? (a) -0.3 (b) n (c)...
{ "pile_set_name": "DM Mathematics" }
l)). -l**2 + 133*l - 4 Let m(b) be the third derivative of b**5/20 + 53*b**3/2 - 7*b**2 + 6*b. Let y(l) = -3*l. Give y(m(a)). -9*a**2 - 477 Let q(z) = -4*z**2. Let x(s) = 6182624*s. Calculate q(x(t)). -152899358101504*t**2 Let q(h) = h + 2*h - 4*h. Let a(n) = 5*n + 33*n + 0 + 11 - 21. Let j(z) = -24*z + 7. Let g(v) = 5...
{ "pile_set_name": "DM Mathematics" }
of 115/54 and 1/3838. 103626 Find the common denominator of -115/1078 and 43/154. 1078 What is the lowest common multiple of 1131 and 816? 307632 Calculate the common denominator of 13/62 and 7/12580. 389980 Calculate the smallest common multiple of 4720 and 19824. 99120 Calculate the lowest common multiple of 2552 an...
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 1 h, 1 z, and 2 v when four letters picked without replacement from hhzhhzvhhhzhhvzhhzh? 5/323 Three letters picked without replacement from ccdcczudcr. What is prob of picking 1 c, 1 u, and 1 z? 1/24 What is prob of picking 1 g and 1 w when two letters picked without replacement from ppfwwvgr?...
{ "pile_set_name": "DM Mathematics" }
of 233*x**5/10 + 5*x**4/12 - x**3/6 + 10*x**2 - 2. Is d(3) a prime number? True Is (27/108)/(-3*(-3)/923868) prime? False Let x(g) = -11*g**3 + 5*g**2 + 6*g + 18. Let s be x(-9). Suppose 4311 = 9*l - s. Is l a composite number? True Let z be 16/((-24)/(-3)) + -4. Let s(q) = -1281*q + 25. Is s(z) a prime number? False ...
{ "pile_set_name": "DM Mathematics" }
at comes next: 5708, 11364, 17020? 22676 What is next in -2516, -2467, -2386, -2273? -2128 What comes next: -345, -1229, -2703, -4767? -7421 What is next in -11, 78, 207, 382, 609? 894 What is next in 108, 328, 644, 1050, 1540, 2108, 2748? 3454 What is the next term in -65, -112, -159, -206? -253 What comes next: 356, ...
{ "pile_set_name": "DM Mathematics" }
biggest value? (a) -1/2 (b) -195171 (c) 2/3 (d) 10 (e) 2/7 b What is the second biggest value in -76206, 3/7, -14/27? -14/27 Which is the smallest value? (a) -9 (b) 0.006 (c) 759 a What is the third smallest value in -0.682, -24.2, -8, -5, -3, 3/4, -4? -5 What is the second biggest value in -0.319, -73, 1/5, 0....
{ "pile_set_name": "DM Mathematics" }
). 30*b**4 - 10*b**3 Expand (6*k - 2*k - 2*k)*(-426*k + 9 + 404*k - 4). -44*k**2 + 10*k Expand (23*m + 16*m - 50*m)*(-2*m + 6*m - 2*m)*(-2 + 1 - 1). 44*m**2 Expand -3 - 565*i + 543*i + 4 + (0*i + 3*i - i)*(3 + 4 - 6) + i + i + 0*i. -18*i + 1 Expand (2*u**2 + u**2 - 4*u**2 + (u - 3*u + 4*u)*(3*u + 2*u - 3*u))*(-u + u + ...
{ "pile_set_name": "DM Mathematics" }
)/i - 30/8. What is the units digit of ((-44)/1)/(a - -2)? 2 Let f(s) = s**2 - 2*s - 3. Let w be f(4). Suppose 4*p = w + 3. Suppose -p*n = -49 - 11. What is the units digit of n? 0 Let u = 629 + -382. Suppose -r + u = 1. What is the tens digit of r? 4 Suppose 8*h - 6355 = -667. What is the hundreds digit of h? 7 Let i(...
{ "pile_set_name": "DM Mathematics" }
(-g + 2*g + g). 9*g Expand 2*q**4 - 2*q**4 - q**4 + 0*q**3 + q**4 + 0*q**3 + (3*q**3 + 2*q**3 - 4*q**3)*(-3*q - q - 3*q). -7*q**4 Expand (t**2 - 3*t**2 + 3*t**2)*(-1 + 2 + 0)*(-1 + 0 + 0). -t**2 Expand (2*d - 2*d - 3*d)*(1 - 1 - 2*d**3 + (d**2 - 4*d**2 + 2*d**2)*(5*d - d - 2*d) - 6*d**2 - d**3 + 6*d**2 + (d**2 + d**2 -...
{ "pile_set_name": "DM Mathematics" }
hat is the third derivative of c(x) wrt x? -1440*x Let g(w) = 4*w**2 - 69*w - 858. Let h(c) = c**2 - 24*c - 286. Let s(r) = 2*g(r) - 7*h(r). Differentiate s(x) with respect to x. 2*x + 30 Let l = -51 - -60. Find the second derivative of -10*t**2 - 6*t - 9*t + l*t wrt t. -20 Find the first derivative of 190 - 14*z**4 - ...
{ "pile_set_name": "DM Mathematics" }
.3, w Let o(f) = -3*f + 1. Let n be o(-4). Let w = n - 38/3. Sort 2, w, 0.2 in descending order. 2, w, 0.2 Suppose -4*z = -8 - 8. Sort z, 0, -3/4. -3/4, 0, z Let d = -40 + 35. Let l = 1 - 16. Let w = -11 - l. Put 5, w, d in descending order. 5, w, d Let h be 2211/27 - (1 - 4). Let k = h - 85. Put 2/3, k, 4 in descendin...
{ "pile_set_name": "DM Mathematics" }
0*l = l + 1782. Is l/(-12) + m/(-4) a composite number? False Let i = 11 + 224. Let l(b) = -235*b. Let j be l(-3). Suppose -2*z + j = z - r, -2*r = -z + i. Is z a prime number? False Suppose -240 + 4204 = 4*p. Is p prime? True Let y be ((-7)/(21/18))/(-1). Suppose y*p - 3231 = 2031. Is p prime? True Let v(s) = -s**3 +...
{ "pile_set_name": "DM Mathematics" }
ided by 14? 13 Suppose -4*l + 3*l + 5*i + 7 = 0, -3*l = -5*i - 31. Let m be 2/6 - (-472)/6. Let f = m + -45. Calculate the remainder when f is divided by l. 10 Let q(d) = -d**2 - 15*d + 14. Suppose -3*k = 12, -n + k = 5*k + 11. What is the remainder when q(-15) is divided by n? 4 Let i(a) be the third derivative of -a*...
{ "pile_set_name": "DM Mathematics" }
thout replacement from zzzzzz? 1 Four letters picked without replacement from {h: 2, g: 3, x: 1, a: 3, m: 10}. What is prob of picking 2 a and 2 h? 1/1292 What is prob of picking 1 w and 1 p when two letters picked without replacement from {w: 1, v: 1, f: 5, p: 1, q: 1}? 1/36 What is prob of picking 2 j when two letter...
{ "pile_set_name": "DM Mathematics" }
derivative of h(s) wrt s? -7 Let g be (-39)/(-9) - 4/1. Let r(u) be the second derivative of -g*u**3 + 2*u + 1/12*u**4 + 0 + 0*u**2. What is the second derivative of r(w) wrt w? 2 Let k(j) = -j**3 + 8*j**2 + 10*j - 1. Let x be k(9). What is the first derivative of -x*a - 3*a**4 + 8*a + 0 + 2 wrt a? -12*a**3 Suppose 0 =...
{ "pile_set_name": "DM Mathematics" }
eplacement from {o: 6, i: 5, t: 4, f: 1}. What is prob of picking 1 o and 2 i? 3/28 Four letters picked without replacement from {o: 13, q: 5}. Give prob of picking 2 q and 2 o. 13/51 Calculate prob of picking 4 p when four letters picked without replacement from {l: 5, p: 15}. 91/323 Three letters picked without repla...
{ "pile_set_name": "DM Mathematics" }
the greatest common factor of 222 and 86. 2 What is the highest common factor of 17 and 9673? 17 What is the highest common factor of 30 and 30? 30 Calculate the greatest common factor of 323 and 76. 19 What is the greatest common factor of 14944 and 96? 32 Calculate the greatest common factor of 1850 and 1369. 37 What...
{ "pile_set_name": "DM Mathematics" }
ds? 36 How many minutes are there in one quarter of a hour? 15 What is 933.049 minutes in microseconds? 55982940000 What is 0.9366042 minutes in nanoseconds? 56196252000 How many millilitres are there in 6/5 of a litre? 1200 How many years are there in nine tenths of a millennium? 900 What is 899.5783 micrometers in na...
{ "pile_set_name": "DM Mathematics" }
remainder when y is divided by 9? 6 Suppose 34 = -3*h + 103. What is the remainder when h is divided by 23? 0 Let w(p) = -p - 1. Let q be w(1). Let k be (-1)/(0 + q/118). Let g = k - 39. What is the remainder when 37 is divided by g? 17 Suppose -4*f + 4*p = -52, -p + 3*p = -f + 10. Let j be -7*6*(-2)/(-4). Calculate th...
{ "pile_set_name": "DM Mathematics" }
0.4. -3.264 What is -0.189837 less than -16? -15.810163 Calculate 1805 + -0.4. 1804.6 What is the distance between 8042 and -1.6? 8043.6 Subtract 0.2 from 65612. 65611.8 Add together 22 and -121. -99 What is -2 - 5.61? -7.61 What is -0.105 plus -9.78? -9.885 What is the difference between 130 and 0? 130 -0.43+3 2.57 W...
{ "pile_set_name": "DM Mathematics" }
ch is the second smallest value? (a) v (b) -2 (c) 0 c Let k = 0.548 + -0.048. Let r = 213/4 + -423/8. What is the third smallest value in r, -4, k? k Let m = 1.3 + -0.6. Suppose -4*q - q - 20 = 0. Which is the smallest value? (a) m (b) 0.1 (c) q c Let c = 3 - -1. Suppose 0*o - 2*o = -c. Suppose -q - 3 = -o*q. Wha...
{ "pile_set_name": "DM Mathematics" }
is divided by 334. 329 Calculate the remainder when 133084 is divided by 541. 539 What is the remainder when 9018 is divided by 4508? 2 Calculate the remainder when 6927 is divided by 91. 11 Calculate the remainder when 74233 is divided by 232. 225 Calculate the remainder when 48819 is divided by 24346. 127 What is th...
{ "pile_set_name": "DM Mathematics" }
+ -8? 12881 In base 5, what is -341123 - -3? -341120 In base 7, what is -12 - -24624? 24612 In base 16, what is -5f02 + -5? -5f07 In base 7, what is 351140 - -31? 351201 In base 5, what is -1 + 120131? 120130 In base 15, what is 984 + -140? 844 In base 4, what is 10 + -103030022? -103030012 In base 7, what is 2531 - 10...
{ "pile_set_name": "DM Mathematics" }
uming b is positive. b**(243/145) Simplify y*(y**0/y)/y*(y/y**5*y)/y*(y**(-5)/y)/((y*y**(-8))/y) assuming y is positive. y**(-3) Simplify (r/((r/r**(-6))/r))**(7/3) assuming r is positive. r**(-35/3) Simplify (q**(-2/11))**(9/2) assuming q is positive. q**(-9/11) Simplify s*s**(5/2)*s**7/s assuming s is positive. s**(1...
{ "pile_set_name": "DM Mathematics" }
a) 2 (b) 8 (c) 5 c Which is the second biggest value? (a) 0.09 (b) 5 (c) 0 (d) -2/5 a What is the third smallest value in 2/17, 1/4, 2, 0.5, -0.4? 1/4 What is the smallest value in -0.4, 2/5, -390? -390 What is the biggest value in 3, -0.5, 0.94? 3 Which is the third biggest value? (a) -0.8 (b) 4 (c) 35 (d) -...
{ "pile_set_name": "DM Mathematics" }
8*c + 227*c = -5 for g. 3 Solve 67*i = 68*i - d + 4, 3*i - 5*d = -22 for i. 1 Solve 5*a = -5*d, -5*a + 2*a + 25 = -2*d for d. -5 Solve 0 = -5*a + 3*w + 60 - 103, 0 = -w - 4 for a. -11 Solve -16*i + 13*i = -14*m + 104, 0 = -3*i + m - 13 for i. -2 Solve 2*u + 5*r = 32, u - 23 = -4*u - 0*u - 3*r for u. 1 Solve -3*p = -4*l...
{ "pile_set_name": "DM Mathematics" }
? 110000 What is -86300 rounded to the nearest 10000? -90000 Round -29.91 to the nearest integer. -30 Round 0.004316 to 3 dps. 0.004 Round -0.5953 to two decimal places. -0.6 What is -0.00519 rounded to three dps? -0.005 What is 6.091 rounded to 1 decimal place? 6.1 What is -15871 rounded to the nearest one thousand? -...
{ "pile_set_name": "DM Mathematics" }
m of 130, 168, 220, 292, 390, 520? b**3 + b**2 + 28*b + 100 What is the i'th term of -70, -136, -202, -268? -66*i - 4 What is the s'th term of -209, -220, -245, -290, -361, -464, -605, -790? -s**3 - s**2 - s - 206 What is the i'th term of 716, 714, 712, 710? -2*i + 718 What is the c'th term of -412, -410, -408, -406, -...
{ "pile_set_name": "DM Mathematics" }
35 = 34*f - s*f. Solve -4*d + 5 = 3*m, f*m + 0 = -4*d + 3 for m. -1 Suppose -917*j = -911*j - 30. Solve 3*z + 2*s = j, 0 = 2*z + 15*s - 13*s - 6 for z. -1 Suppose -4*u - 4*o = -28, 3*u - 2*o + 53 = 49. Solve -u*f - 31 = 5*x - 14, -5*x - 4*f = 19 for x. -3 Suppose 0 = -2*u + 4*u. Let g(k) = -20*k + 126. Let l be g(6). S...
{ "pile_set_name": "DM Mathematics" }
What is c(r(u))? 162*u**4 + 1764*u**2 + 4802 Let g(q) = 4*q. Let p(y) = 1308761*y. Determine p(g(c)). 5235044*c Suppose 67*b = 66*b + 2. Let r(p) = -38*p**b - 626 + 626. Let v(i) = i**2. What is v(r(j))? 1444*j**4 Let f(x) = 13*x. Suppose -7*z = -32 + 4. Let s be (6 - (4 - -4))*-1. Let n(c) = -5*c**s + 4*c**2 + z*c**2 ...
{ "pile_set_name": "DM Mathematics" }
first derivative of x**2 - 9730. What is k(a(t))? 29674*t Let v(m) = -5*m + 7. Let j(w) = 3*w - 4. Let g(f) = 7*j(f) + 4*v(f). Let x(l) = -l**2 - l**2 - 1204*l + 1204*l + 113 + 9. Determine x(g(u)). -2*u**2 + 122 Let y(u) = 1326*u**2 - 2858*u**2 + 1525*u**2. Let m(q) = -69*q**2 - 2. Calculate y(m(v)). -33327*v**4 - 19...
{ "pile_set_name": "DM Mathematics" }
t a(g) = 10*g. Let d(l) be the first derivative of 17*l**2/2 - 48. What is a(d(w))? 170*w Let r = -13 + 17. Suppose 19 = 5*l - r*f, 3*l = f + 2*f + 9. Let o(z) = -3*z**2 - z**2 + l*z**2 + 0*z**2. Let v(j) = j**2. Determine o(v(h)). 3*h**4 Let y(g) be the first derivative of -3*g**2/2 + 35. Let z(h) = -4*h**2 - 9*h. Let...
{ "pile_set_name": "DM Mathematics" }