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j**3 - 19*j + 35*j to o + a*j + v*j**4 + k*j**3 + w*j**2 and give k. -2 Express (-10 + 10 - 35*s**2)*(26 - 23 + 10) in the form x + l*s + y*s**2 and give l. 0 Express (61*a + 145*a - 17*a)*(-22*a + 5 + 8*a + 15*a) as v + m*a**2 + r*a and give r. 945 Express -13*w - 15*w + 19*w**2 - 14*w - 13*w + 35*w in the form n + a*...
{ "pile_set_name": "DM Mathematics" }
- 583*i + 128. 34*i + 93 Collect the terms in -178*l - 236*l + 391*l. -23*l Collect the terms in -136*w**2 + 225*w**2 + 57*w**2 - 147*w**2. -w**2 Collect the terms in -4*s + 3*s + 1267012 - 1267125. -s - 113 Collect the terms in 8*l + 75904 - 75904 + 11*l + 15*l - 39*l. -5*l Collect the terms in -383*x - 90*x**2 - 19*...
{ "pile_set_name": "DM Mathematics" }
est to k? (a) 5 (b) 0.2 (c) n b Let i = -2.3 + 2. Let g = 1.3 + i. Which is the nearest to g? (a) -4 (b) -5 (c) -0.5 c Let n = 0.008 - 0.508. What is the closest to -8 in -4, 4, n? -4 Let y = 4 - 3. Let b = 7/17 + -181/357. Let i = 0.14 - 1.14. What is the nearest to i in -2/7, y, b? -2/7 Let m = 18 + -18. What i...
{ "pile_set_name": "DM Mathematics" }
thout replacement from drawrww? 6/35 What is prob of picking 1 q, 1 i, and 1 l when three letters picked without replacement from {l: 1, v: 1, i: 3, q: 2, c: 13}? 1/190 What is prob of picking 2 n and 2 w when four letters picked without replacement from nnngnnwnnnnnnwnwng? 13/170 Four letters picked without replacemen...
{ "pile_set_name": "DM Mathematics" }
z. Put a, w, 4/3 in increasing order. w, a, 4/3 Let v = -1068.045 - -1065. Let c = v + 0.045. Let z = -4.3 + 0.3. Put z, -2/9, c in descending order. -2/9, c, z Suppose 5*b - 21 - 29 = 0. Suppose -13 = -2*z - i, -b = -5*z + 2*i - 0*i. Sort z, -3, -8, 1 in ascending order. -8, -3, 1, z Let o = -273 + 269. Sort -8, 4, o,...
{ "pile_set_name": "DM Mathematics" }
))))/z*z*z/(z/(z/((z*z*(z*z**1)/z)/z)))*(z**(-1/8))**10 assuming z is positive. z**(-217/100) Simplify g**(-12/7)/g**(-2/43)*(g/g**(-3))/(g*g*g**7*g*g) assuming g is positive. g**(-2609/301) Simplify x**(1/4)*x**(4/9)*x**(1/5)*x*x**(-2) assuming x is positive. x**(-19/180) Simplify (((y*(y*y/((y/(((y/y**(-2/95))/y)/y))...
{ "pile_set_name": "DM Mathematics" }
3 - -4? 1 What is 4 - (4 - (4 - (5 + -3)))? 2 0 + 6 - (-6 - -9) 3 What is -3 + (-1 + 1 - -2)? -1 Calculate -2 + (5 - 4) - 1 - -1. -1 What is (3 - -7 - 4) + -2 + 1? 5 -3 - -23 - (55 + -43) 8 Evaluate (-1 - (4 - 2)) + 4 + -1. 0 (2 - 0) + 1 + 2 5 What is -2 + (2 - -1) - 3? -2 Calculate -6 - (-5 - (9 + -9)). -1 What is the...
{ "pile_set_name": "DM Mathematics" }
2*a - 194 + 194. Let v(k) be the third derivative of 0*k**3 + 1/30*k**5 + 0*k**4 + 0 + 0*k + k**2. Calculate h(v(n)). -4*n**2 Let x(d) = 3*d + 2. Let i(n) = -6*n - 5. Let o(y) = 2*i(y) + 5*x(y). Let w(l) = 2*l**2. Calculate o(w(h)). 6*h**2 Let o(k) be the first derivative of k**2 + 14. Let t(p) = 30*p**2. Determine t(o...
{ "pile_set_name": "DM Mathematics" }
from opvpmoya. 1/840 Two letters picked without replacement from uuuuuuuqqq. What is prob of sequence qq? 1/15 Four letters picked without replacement from cakfkckkkcrccrkakcr. Give prob of sequence frca. 1/2584 What is prob of sequence pqph when four letters picked without replacement from {q: 3, h: 1, c: 4, u: 4, p:...
{ "pile_set_name": "DM Mathematics" }
True Is 33 a factor of 21116? False Does 123 divide 5031? False Does 39 divide 3589? False Is 500 a multiple of 50? True Is 22 a factor of 154? True Does 31 divide 1156? False Is 6 a factor of 2850? True Is 14212 a multiple of 44? True Is 21 a factor of 420? True Does 272 divide 57028? False Is 5936 a multiple of 8? Tr...
{ "pile_set_name": "DM Mathematics" }
is 38826 to the power of 1/3, to the nearest integer? 34 What is the cube root of 4484 to the nearest integer? 16 What is the tenth root of 261 to the nearest integer? 2 What is 173 to the power of 1/2, to the nearest integer? 13 What is the cube root of 261 to the nearest integer? 6 What is 96980 to the power of 1/3, ...
{ "pile_set_name": "DM Mathematics" }
+ 6*f(s). What is v(i(r))? 2784*r**2 + 1 Let d(x) = 2*x**2. Suppose 2*b + 67 = 5*b - i, b - 3*i = 17. Let a(h) = b*h**2 - 17*h**2 - 137*h**2. What is d(a(j))? 34322*j**4 Let n(d) = 29*d - 25. Let w(y) = -595*y + 510. Let s(a) = -102*n(a) - 5*w(a). Let r(g) = 8*g + 17. Let h(q) = -q - 2. Let v(p) = 51*h(p) + 6*r(p). Gi...
{ "pile_set_name": "DM Mathematics" }
1 - -3? -778e In base 11, what is 30216 + 2? 30218 In base 15, what is 4 + 4e66? 4e6a In base 12, what is 0 + -15926? -15926 In base 3, what is 10122 + 1002221? 1020120 In base 6, what is -21434 - 522? -22400 In base 4, what is 22 - -3101101? 3101123 In base 4, what is 2003020 + 30323? 2100003 In base 8, what is 623 - ...
{ "pile_set_name": "DM Mathematics" }
is l? -9, 14, 20, 232 What is q in q**3/4 + 485*q**2/4 - 14337*q/4 + 13851/4 = 0? -513, 1, 27 Let -4*w**3 - 932676*w**2 + 932688*w + 1865360 = 0. Calculate w. -233170, -1, 2 What is s in -2*s**3 + 4408*s**2 - 91866*s + 392940 = 0? 6, 15, 2183 Solve -w**5/3 - 896*w**4/3 + 35479*w**3/3 - 12994*w**2/3 - 265700*w - 414696 ...
{ "pile_set_name": "DM Mathematics" }
thout replacement from vwwuuwwwv. 5/18 Two letters picked without replacement from {w: 7, j: 5}. Give prob of sequence jj. 5/33 What is prob of sequence mq when two letters picked without replacement from {m: 2, q: 1, w: 1, u: 1, s: 1, t: 1}? 1/21 What is prob of sequence mou when three letters picked without replaceme...
{ "pile_set_name": "DM Mathematics" }
= -14*d**2 + 12*d**2 + 9*d**2. Let k(c) = 0 + 2*c + 0 + 0. Determine q(k(m)). 28*m**2 Suppose 4*p = 3*h + 14, 5*h + 5*p - 20 - 15 = 0. Suppose -7*u = -h*u - 25. Let v(y) = -2*y**2 - 5*y + u*y. Let n(t) = t**2. Determine v(n(z)). -2*z**4 Let n(l) = 6*l. Let p(s) = -11*s**2 - 5*s**2 - 12*s**2 + 26*s**2. Determine n(p(j)...
{ "pile_set_name": "DM Mathematics" }
of 3? True Is 1219 a multiple of 25? False Is 131 a factor of 548226? False Does 15 divide 407835? True Is 2979592 a multiple of 196? True Does 479 divide 1459992? True Does 24 divide 273816? True Does 36 divide 9056? False Does 78 divide 125795? False Is 146756 a multiple of 76? True Does 62 divide 855972? True Does 2...
{ "pile_set_name": "DM Mathematics" }
35/286 Calculate prob of sequence lf when two letters picked without replacement from {f: 2, l: 4, b: 1, g: 1}. 1/7 Calculate prob of sequence trr when three letters picked without replacement from {f: 2, r: 2, t: 2}. 1/30 Calculate prob of sequence bxx when three letters picked without replacement from bxbbbbsbbbsxss...
{ "pile_set_name": "DM Mathematics" }
g prime? False Suppose -3*v = -3*r - 459, 4*v - 624 = 3*r - 2*r. Is v a prime number? True Let g(u) = -79471*u - 14. Is g(-1) composite? True Let t = 42 + -22. Suppose 15*d + 355 = t*d. Is d a composite number? False Let y(a) = 12*a**2 - 5*a - 14. Let t be y(7). Let l = t + 1006. Suppose -4*o - o + 1203 = 4*q, -5*q + 2...
{ "pile_set_name": "DM Mathematics" }
and 9. 9 Suppose -9*m + 300 = -4*m. Suppose -2*u - m = 2*s, 2*s + s + 90 = u. Let c = 18 - s. What is the greatest common factor of c and 12? 12 Suppose -3*u = 0, 4*u + 15 = x + 4*x. Let z be (-1)/2 - 717/(-6). Suppose 2*h - s - z = 2*s, -h = x*s - 46. Calculate the greatest common divisor of h and 11. 11 Suppose 0 = ...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {t: 4, r: 2}. 2/5 Two letters picked without replacement from {n: 4, w: 10}. What is prob of sequence wn? 20/91 Two letters picked without replacement from {c: 3}. Give prob of sequence cc. 1 Calculate prob of sequence iyi when three letters picked without replacement from {x: 1, i: 2, ...
{ "pile_set_name": "DM Mathematics" }
51*r(a). 9*a**3 Let j be 0 + 2*(2 - 1). Let y(p) = -5*p - 4*p**3 + 5 + 0*p**3 - 3*p**3 - 7*p**j. Let g(x) = 6*x**3 + 6*x**2 + 1 + 2*x - 5 + 2*x. Determine -5*g(i) - 4*y(i). -2*i**3 - 2*i**2 Let v(y) = 5*y**2 + 2*y - 7. Let m(j) = -14*j**2 - 5*j + 21. Determine -3*m(c) - 8*v(c). 2*c**2 - c - 7 Let h(f) = -2*f**3 - 5*f**...
{ "pile_set_name": "DM Mathematics" }
23 + r**2 - 7 - 5*r. Calculate 3*o(m) + 4*u(m). m**2 - 2*m - 2 Let a(f) = 4*f - 2. Let h(t) = -t + 1. Calculate -2*a(z) - 6*h(z). -2*z - 2 Let p(k) = 3*k**2 + 2*k + 7. Let y = 93 + -100. Let c(q) = -q**2 - q - 3. Give y*c(d) - 3*p(d). -2*d**2 + d Let f(m) = 16*m - 12. Let s(y) = -1. Let a(z) = z + 1. Let l(r) = a(r) + ...
{ "pile_set_name": "DM Mathematics" }
1727 In base 7, what is 2552335665 + 5? 2552336003 In base 16, what is -f7fd - -18? -f7e5 In base 5, what is -1430424 - 11102? -1442031 In base 16, what is -1 + 17ed72e? 17ed72d In base 14, what is -1051605 + 1? -1051604 In base 5, what is 234 + 222301? 223040 In base 12, what is -1a597 + -360? -1a937 In base 2, what i...
{ "pile_set_name": "DM Mathematics" }
80. 742 Calculate the remainder when 2680 is divided by 267. 10 What is the remainder when 27134 is divided by 26? 16 Calculate the remainder when 9436 is divided by 1331. 119 What is the remainder when 2946 is divided by 38? 20 Calculate the remainder when 3721 is divided by 957. 850 Calculate the remainder when 6950 ...
{ "pile_set_name": "DM Mathematics" }
41*l - 150. Give i(-2). -260 Let m(s) = 2*s**2 - 20927*s - 167565. What is m(-8)? -21 Let w(v) = -17*v**2 + 201*v - 73. Calculate w(12). -109 Let u(a) = 48956*a + 244782. Determine u(-5). 2 Let z(w) = 77229*w + 386151. Calculate z(-5). 6 Let w(k) = -825958*k - 3303829. Calculate w(-4). 3 Let w(s) = -163*s + 35084. What...
{ "pile_set_name": "DM Mathematics" }
w - 10020 = 0, -2*w = -6*w + 16. Let j = -980 - o. Let z be ((-2)/(-3))/((-40)/j). Round z to the nearest ten. -20 Let p(s) = 809*s**2 - 4 - s + 5*s - 16*s + 8*s. Let m be p(-2). Round m to the nearest one hundred. 3200 Suppose 0 = 4*k - 15 - 13. Suppose -2*h - 8 = -4*m, -3*m + k = -4*h - 4*m. Let q be h/(-36)*4 + 3310...
{ "pile_set_name": "DM Mathematics" }
**2 + 2. Determine h(n(m)). -50*m Let t(g) = -191*g + 46*g + 70*g + 72*g. Let o(k) = 759*k. Calculate t(o(u)). -2277*u Let g(c) = c. Let v(u) = -164*u - 106 + 280*u + 195*u + 146*u + 107. Give g(v(a)). 457*a + 1 Let f(n) be the second derivative of -n**5/60 + 4*n**3/3 + 7*n. Let o(x) be the second derivative of f(x). L...
{ "pile_set_name": "DM Mathematics" }
*2 - 7*d**2 + 26 - 5*d**2 + 11*d**2 in the form h*d**2 + b*d + t and give t. 26 Express 2 + q**2 - 3*q**2 - 7 - 2*q**2 - 2 + 2 + (q - 4 + 4)*(2*q - q - 3*q) - 6*q**2 - q**2 + 4*q**2 as k*q**2 + d*q + r and give d. 0 Express (6*o**4 - o**4 + 3*o**4)*(0 - 1 + 4) in the form j*o**2 + a*o**4 + c*o**3 + t*o + l and give a. ...
{ "pile_set_name": "DM Mathematics" }
32 - 3? -26171635 In base 14, what is 2 - 274dcb? -274dc9 In base 5, what is -10401340 - -10242? -10341043 In base 5, what is -103123 - -214423? 111300 In base 10, what is 562 - -67464? 68026 In base 16, what is 22c37 - -b? 22c42 In base 14, what is 1 - -728a695? 728a696 In base 15, what is -1202 - 182b? -2a2d In base ...
{ "pile_set_name": "DM Mathematics" }
133 composite? True Is 758191281 a prime number? False Is 739640239 a composite number? True Is 13120685713 prime? True Is 256015681 composite? False Is 1571437346 prime? False Is 15074093 a prime number? False Is 38717108821 composite? True Is 1160245379 a prime number? True Is 12304987319 composite? True Is 151968513...
{ "pile_set_name": "DM Mathematics" }
Solve -2*w**4/7 + 9980*w**3 + 279478*w**2/7 - 209568*w/7 - 1257624/7 = 0. -3, 2, 34934 Suppose 52*i**5 - 47432*i**4 - 3082271*i**3 + 3600427*i**2 - 1265024*i + 120652 = 0. Calculate i. -62, 2/13, 1/2, 973 Find t such that -4*t**5/5 + 78092*t**4/5 - 380873004*t**3/5 - 2690560188*t**2/5 + 20100775968*t + 186743672640 = 0...
{ "pile_set_name": "DM Mathematics" }
p, -0.3, f Suppose 0 = -2*v - 2*v - 4, 18 = 5*m - 3*v. Let i(s) = -6*s - 7. Let c be i(-2). Suppose 20 = -4*l - l, l + 14 = -c*b. Put m, 2, 4, b in ascending order. b, 2, m, 4 Let z(x) = x + 4. Let q be z(-7). Suppose 5*s - 20 = 0, 4*s - 20 = 4*b + s. Let g = 2880 - 2876. Put b, q, 5, g in ascending order. q, b, g, 5 ...
{ "pile_set_name": "DM Mathematics" }
1 Calculate the smallest common multiple of 43575 and 525. 43575 What is the least common multiple of 3929 and 75? 294675 Calculate the common denominator of -181/8790 and 25/8. 35160 What is the least common multiple of 1284 and 554? 355668 What is the common denominator of -67/124 and 34/358267? 1433068 What is the l...
{ "pile_set_name": "DM Mathematics" }
uppose l - 5 - 26 = 0. Suppose -l = -3*x - 2*x - 2*a, -x - c*a = -17. Sort 0, -3, x in decreasing order. x, 0, -3 Let k be (22425/(-11206) + -1 + 3)*-4. Let q = 3462/3017 - k. Sort -3, 5, q in increasing order. -3, q, 5 Suppose 2*w + 3*t = 6*w + 297, 4*w = -t - 285. Let m = -35 - w. Sort m, -3, -4 in decreasing order. ...
{ "pile_set_name": "DM Mathematics" }
. Let a be j(-8). Let v be n(a). Sort -2, -1, v. v, -2, -1 Let q(z) = z**2 - 9*z + 8. Let a be q(8). Suppose -4*n = -3 - 1. Let m = n + a. Sort 3, -1, m in decreasing order. 3, m, -1 Suppose 3*y + 4*t = -35, -2*y - 14 = 5*t + 21. Let i(g) = g**3 - 11*g**2 + 10*g + 3. Let x be i(10). Sort y, x, 1 in descending order. x,...
{ "pile_set_name": "DM Mathematics" }
2*b**5 - 4*b**5 + 5*b**5) + 3*b**3 - 5*b**5 - 3*b**3. -8*b**5 Expand (1 + 2 + 1)*(g**2 + 3*g**2 - 2*g**2) - 4 - 2*g**2 + 4 - g**2 - 3 + 3 + (-4 + 1 + 2)*(2*g**2 + 3*g - 3*g). 3*g**2 Expand (2 + 4 - 5)*(0*t - t - t) + 42*t - 56*t + 26*t. 10*t Expand ((-2 + 2 - 2)*(-4 + 3 + 3) - 1 + 3 - 4)*(b**3 - 5*b**3 + 2*b**3). 12*b*...
{ "pile_set_name": "DM Mathematics" }
o letters picked without replacement from {c: 1, r: 3, z: 5}. What is prob of picking 1 r and 1 z? 5/12 Two letters picked without replacement from {t: 2, u: 2, c: 4}. What is prob of picking 1 c and 1 u? 2/7 Two letters picked without replacement from {r: 2, o: 4, x: 3}. What is prob of picking 1 r and 1 x? 1/6 Two le...
{ "pile_set_name": "DM Mathematics" }
ulate the highest common divisor of p and j. 10 Let j(h) = 146*h - 114. Let r be j(4). What is the greatest common divisor of r and 658? 94 Let m(n) = 63*n**2 - n - 7. Let t be m(2). Let v = 106 - 72. Let p = v + -7. What is the greatest common divisor of t and p? 27 Suppose -2*c + 417 - 161 = 0. Suppose 143*j - 151*j ...
{ "pile_set_name": "DM Mathematics" }
ement from bbbbbbxb. Give prob of picking 4 x. 0 Calculate prob of picking 2 y when two letters picked without replacement from {x: 1, n: 4, h: 9, y: 2}. 1/120 What is prob of picking 2 z when two letters picked without replacement from {z: 2, a: 5, w: 3}? 1/45 Two letters picked without replacement from lglgtltlgttxxl...
{ "pile_set_name": "DM Mathematics" }
**2. Let v(g) be the first derivative of z(g). Give v(-6). 18 Let c(l) = 3*l**2 - 3*l - 3. Let t(q) = q**2 + q. Let k be 1 + (-1 - 4/4). Let o(n) = k*c(n) + 4*t(n). What is o(-5)? -7 Suppose 9*b = 5*b + 848. Let h(s) = 5*s**2 + 1 - s**3 + 207*s + 6 - 2 - b*s. What is h(4)? 1 Let r(g) = 41*g**2 - 22*g**2 - 4*g + 2 - 17*...
{ "pile_set_name": "DM Mathematics" }
et r = 4 + 1. Suppose 2*f - 27 = r*w, f - 46 + 0 = -4*w. What is the tens digit of f? 2 Suppose -5*h + 0*h - 175 = 0. Let z = -53 + 103. Let n = h + z. What is the units digit of n? 5 Let b(a) = -a**3 - 10*a**2 - 10*a + 2. Let r be (2 - (3 + -10))/(-1). What is the tens digit of b(r)? 1 Let h = 7 - 3. Let d(x) be the t...
{ "pile_set_name": "DM Mathematics" }
564 Collect the terms in -40853*x + 163415*x + 33*x**2 - 40850*x - 40848*x - 40864*x. 33*x**2 Collect the terms in 5877*k**2 - 315*k**2 + 4855*k**2 + 164*k**2. 10581*k**2 Collect the terms in 0*z**3 + 359466 + 254155 - z**3. -z**3 + 613621 Collect the terms in 1783*t - 8414*t + 2121*t - 6791*t - 1011*t. -12312*t Collec...
{ "pile_set_name": "DM Mathematics" }
f 633, 607, 581? -26*i + 659 What is the j'th term of -11, -99, -333, -785, -1527, -2631, -4169? -12*j**3 - j**2 - j + 3 What is the k'th term of 238, 493, 748, 1003, 1258, 1513? 255*k - 17 What is the i'th term of -40, -54, -104, -208, -384, -650, -1024, -1524? -3*i**3 + 7*i - 44 What is the y'th term of -92, -832, -2...
{ "pile_set_name": "DM Mathematics" }
*t + 7. Let c = -1836 - -1836. What is b(c)? 7 Let k(h) = 108*h**2 - 91. Let s(v) = 37*v**2 - 32. Let t(j) = 6*k(j) - 17*s(j). What is t(-1)? 17 Let h(c) = 4*c + 4. Let b(t) be the first derivative of -t**3/3 - 3*t**2/2 - 20*t - 18. Let r be b(-7). Let p = r + 44. Determine h(p). -12 Let p(i) = 7*i**2 - i + 0*i**2 - 8*...
{ "pile_set_name": "DM Mathematics" }
prime factors of 1384475. 5, 79, 701 What are the prime factors of 1045109? 13, 17, 4729 What are the prime factors of 4593805? 5, 109, 8429 What are the prime factors of 18740830? 2, 5, 1874083 What are the prime factors of 292690? 2, 5, 29269 What are the prime factors of 294418? 2, 147209 List the prime factors of 1...
{ "pile_set_name": "DM Mathematics" }
5, 8 Put 3/8, 12/11, 0.5 in decreasing order. 12/11, 0.5, 3/8 Sort -13, 0.5, -0.2, 3/5 in increasing order. -13, -0.2, 0.5, 3/5 Sort -1, 2, 14 in decreasing order. 14, 2, -1 Put 149, 0, 3, 4 in descending order. 149, 4, 3, 0 Put 3, -67, -5, -3, 4 in decreasing order. 4, 3, -3, -5, -67 Put -15, -16, 4, -5 in decreasing ...
{ "pile_set_name": "DM Mathematics" }
00000752. What is y rounded to six decimal places? -0.000008 Let w = 3313.7 - 3457.03. Let t = 144 + w. Round t to 1 decimal place. 0.7 Let n(i) = 12292*i**3 + i**2 - 3*i - 2. Let k be n(3). Let h be k/(-6)*-3 - 3. Suppose 2*w + h = 45938. What is w rounded to the nearest 100000? -100000 Suppose 0 = -3*o + 9. Suppose t...
{ "pile_set_name": "DM Mathematics" }
(a) 4 (b) 1/5 (c) -20 (d) 537 (e) 3 (f) -3 c Which is the fifth biggest value? (a) 5.9 (b) 1/2 (c) 1/6 (d) -0.53 (e) -6 (f) 1 (g) 3 c Which is the fourth smallest value? (a) 7 (b) 0.14 (c) 4 (d) 12 (e) 0.4 a What is the biggest value in 1, -94, -3, 5, 12, -1, -2/21? 12 Which is the second biggest value...
{ "pile_set_name": "DM Mathematics" }
is next in 210938, 843800, 1898582, 3375284? 5273906 What comes next: -62027, -62298, -62569? -62840 What is the next term in -2424264, -2424257, -2424250? -2424243 What is next in 16139238, 16139216, 16139194, 16139172, 16139150, 16139128? 16139106 What is next in -352, -369, -418, -499, -612? -757 What is next in 94...
{ "pile_set_name": "DM Mathematics" }
ose 20*l = 41*l - 62916. List the prime factors of l. 2, 7, 107 Let r(x) be the first derivative of 90*x**2 - 7*x - 20. List the prime factors of r(2). 353 Suppose 3*w + 4*w = 98. Let m = w - -386. List the prime factors of m. 2, 5 Suppose -5*a = -v - 67858, 5*a - 13322 = -3*v + 54544. List the prime factors of a. 2, 3...
{ "pile_set_name": "DM Mathematics" }
*g + 5*v, -1 = -g + 3*v - 21. Let k = -11 - g. Suppose 0 = 2*x - 4*c - 4, 6*c - 2*c + 18 = -5*x. Put x, k, -4 in increasing order. -4, k, x Let r be (-1)/(-1) - ((-132)/(-32) + -3). Sort -1, 0.2, r, 3. -1, r, 0.2, 3 Let k = -12.91 + 13. Let n = -4.91 - k. Let v be 1/((-2)/4) - -3. Put v, n, 2 in descending order. 2, v,...
{ "pile_set_name": "DM Mathematics" }
-2828*s - 74 What is the first derivative of -15338*k**4 - 89570 wrt k? -61352*k**3 Find the third derivative of -12513*c**3 + 46*c**2 - 202*c. -75078 Find the second derivative of 2*g**5*z + 32657*g**3*z + 2*g*z - 7*g + 1684 wrt g. 40*g**3*z + 195942*g*z What is the third derivative of -1904661*b*d**3 + 1887*b*d**2 -...
{ "pile_set_name": "DM Mathematics" }
et p be b(1). Let g = u + p. What are the prime factors of g? 3 Let b(c) = -9*c**3 - c**2 - 4*c. Suppose 0 = -d - 4*d - 10. What are the prime factors of b(d)? 2, 19 Let v(i) = -i**3 - 8*i**2 - 5*i - 11. Let j be v(-8). Let c = j + -26. Suppose c*a - 57 = 3*x, 2*a = -2*x + x + 47. List the prime factors of a. 2, 11 Let...
{ "pile_set_name": "DM Mathematics" }
*2 - 10*k + 4. Let h be l(10). Which is smaller: h or n? n Let d = 25 - 24. Let y = -12 - 2. Let n be (-8)/(-20) + y/10. Which is bigger: d or n? d Let p = -0.3 + -0.7. Let u = -13 - -15. Is u less than p? False Let l = 13 - 10. Let t = 1 - l. Is t < 1? True Let a(p) = 5*p**2 - 5*p + 2. Let d(v) = 5*v**2 - 4*v**2 - v -...
{ "pile_set_name": "DM Mathematics" }
o'th term of 174661, 698642, 1571943, 2794564? 174660*o**2 + o What is the h'th term of -348, -598, -1016, -1602? -84*h**2 + 2*h - 266 What is the s'th term of -837779, -837777, -837775, -837773, -837771, -837769? 2*s - 837781 What is the q'th term of -8336, -16672, -25008, -33344, -41680, -50016? -8336*q What is the ...
{ "pile_set_name": "DM Mathematics" }
(c) = 9*c**2 - 63*c + 6. Let h be r(7). Suppose -9*k = -11*k - h. Let w(n) = 2*n. Let j(v) = v. Determine k*w(l) + u*j(l). -2*l Let b(s) = -34*s**3 + 6*s**2 - 3*s + 8. Let m(l) = -34*l**3 + 4*l**2 - 3*l + 6. Calculate -3*b(y) + 4*m(y). -34*y**3 - 2*y**2 - 3*y Let f be (-13676)/(-2630)*(-10)/4. Let t(u) = -7*u**3 - 15*u...
{ "pile_set_name": "DM Mathematics" }
is the thousands digit of 123362? 3 What is the thousands digit of 9287? 9 What is the thousands digit of 27121? 7 What is the thousands digit of 29737? 9 What is the hundreds digit of 1872? 8 What is the ten thousands digit of 11164? 1 What is the units digit of 899? 9 What is the tens digit of 6307? 0 What is the hun...
{ "pile_set_name": "DM Mathematics" }
i) = 2*a(i) + 10*r(i). Give -5*n(m) + 4*t(m). m + 1 Let q(g) = -6*g**2 + 5*g - 5. Let w(h) = h**2 - h + 1. Let c be -2*(6/(-20) - 25/125). Determine c*q(f) + 5*w(f). -f**2 Let p(d) = -2*d + 1. Let o(l) = 4*l - 2. Suppose q + 50 = 61. Suppose 2*u = -3 + q. Calculate u*o(w) + 9*p(w). -2*w + 1 Let m(n) = -44*n - 3. Let o(...
{ "pile_set_name": "DM Mathematics" }
term of -400218, -800431, -1200642, -1600851, -2001058, -2401263, -2801466? s**2 - 400216*s - 3 What is the o'th term of 28474362, 28474361, 28474360, 28474359, 28474358, 28474357? -o + 28474363 What is the o'th term of -1987, -3954, -5921, -7888, -9855, -11822? -1967*o - 20 What is the w'th term of -72148, -72150, -72...
{ "pile_set_name": "DM Mathematics" }
*288/(-56). -18 Evaluate 3/(-108)*21/(-210)*45. 1/8 Calculate (0/(-3))/((-11)/11). 0 Calculate (5/10)/((119/(-70))/(-17)). 5 98/49*(2/9)/(40/(-30)) -1/3 What is the value of ((-197)/788)/(87/(-6))? 1/58 (-3168)/432*(-18)/231 4/7 What is (1*-4)/((-2)/9)*(-26880)/(-17280)? 28 Calculate (48/(-168))/((24/9)/(-4)). 3/7 (23/...
{ "pile_set_name": "DM Mathematics" }
54833 List the prime factors of 48428507. 48428507 What are the prime factors of 52679431? 7, 7525633 List the prime factors of 853326248. 2, 106665781 What are the prime factors of 150358187? 7, 443, 48487 What are the prime factors of 112104762? 2, 3, 7, 11, 167, 1453 What are the prime factors of 350997538? 2, 17, 6...
{ "pile_set_name": "DM Mathematics" }
0)). -10*y Expand (-o + 3*o - 3*o)*(-3*o - 2*o + 3*o)*(-1 + 3 - 3)*(-9 - 8 + 0)*(0 + 0 - 2). -68*o**2 Expand (13 + 3 + 6)*(187 - 187 + 61*h). 1342*h Expand 6 - 4*y - 6 + (1 + 0 + 1)*(-y - 4*y + 3*y) + 2*y + y - y - 3*y + 3*y - y + 2*y + 4*y - 3*y + (0 + 0 - 5)*(4*y + 0*y - 6*y) + (-3 + 1 + 0)*(5 + 2*y - 5). 2*y Expand ...
{ "pile_set_name": "DM Mathematics" }
is the remainder when (15/p)/((-8)/(-48)) is divided by n? 3 Let h(v) = -11*v - 13 + 12*v - 18 + 10. Let t be h(12). What is the remainder when 33 is divided by (0 - (-2)/t) + (-260)/(-36)? 5 Suppose h = -0*h + 22. Suppose -3*f = 4*s + 55, -2*f - 2*s = 38 - 2. Let t = 76 + f. What is the remainder when t is divided by...
{ "pile_set_name": "DM Mathematics" }
is prob of sequence mm when two letters picked without replacement from {m: 2, h: 4, u: 7}? 1/78 Calculate prob of sequence yiig when four letters picked without replacement from kkjkkkjikikkjgjyi. 1/9520 Four letters picked without replacement from uqddidiuiuidydugiuyi. Give prob of sequence iyyd. 1/1938 What is prob...
{ "pile_set_name": "DM Mathematics" }
(r**(4/7)/(r**(1/13)/r)*(r*r*r**(-3/2)/r*r*r)**(18/5))**(2/21) assuming r is positive. r**(6274/9555) Simplify ((w**9)**(-21)/(w**10)**(9/7))**(5/6) assuming w is positive. w**(-2355/14) Simplify (((l/(l**11*l))/l**(-2/49))/(l**10/l)**(-1/42))**(-4/7) assuming l is positive. l**(2106/343) Simplify (((d/(d/d**(1/29)))/(...
{ "pile_set_name": "DM Mathematics" }
/k assuming k is positive. k**(55/4) Simplify (z**(3/8)*z**(2/5))**(-9/5) assuming z is positive. z**(-279/200) Simplify ((q*q**(8/7))/q)/((q*q*q/(q*q**(-15/11)))/q) assuming q is positive. q**(-94/77) Simplify ((t**(1/10)*t)/t)/t*t*t**42 assuming t is positive. t**(421/10) Simplify y**(-9)/y**(6/13) assuming y is posi...
{ "pile_set_name": "DM Mathematics" }
- 5 = -5*b + 2*b, -d + 1 = -h*b. Solve 2/7*y + b - 2/7*y**2 = 0 for y. 0, 1 Let p(h) be the first derivative of -h**4 - 1892*h**3/3 + 1900*h**2 - 321. Factor p(w). -4*w*(w - 2)*(w + 475) Let k = 20/619 - -149059/3714. Let u = k - 1097/30. Find i, given that 168/5*i + 144/5 + 36/5*i**2 - 6/5*i**4 - u*i**3 = 0. -2, 3 Let...
{ "pile_set_name": "DM Mathematics" }
l**2 + 12/5*l**4 - 9/5*l**5 + 2/5*l**3 - 1/5*l = 0? -1/3, 0, 1 Determine t, given that 110*t - 37*t**2 - 44038*t**3 + 44033*t**3 + 19*t**2 + 480 - 57*t**2 = 0. -16, -2, 3 Suppose -5*m - 58 + 56 = 2*a, -m - 16 = 3*a. Factor -5/3*z**3 + 0 + 3*z + 4*z**m. -z*(z - 3)*(5*z + 3)/3 Let y be 75/9 + -2 - (188 + -182). Let b(n) ...
{ "pile_set_name": "DM Mathematics" }
1) Simplify ((f**9*f)/f*f**(-12))/((f*f/(f/(f*f*f**(-2/61)*f*f)))/f**(-7)) assuming f is positive. f**(-913/61) Simplify (d**(-6)*d*d**4*d*(d/d**(1/2))/(((d*d**(2/7))/d*d)/d))/((d**(2/7)*d)**(1/4)*d*d**(1/7)*d*d*d/(d*d*d/(d*d**(4/5)/d)*d)) assuming d is positive. d**(-21/20) Simplify (((q**(2/7)*q*q*q)**(-20)/((q**1*q*...
{ "pile_set_name": "DM Mathematics" }
be q(3). Does 28 divide 1 - -3*(d + w)? False Suppose 4*s + 2 = 122. Does 13 divide 119/3 - 20/s? True Does 4 divide 6/8 - ((-1125)/36 + 8)? True Let h = 123 - 83. Does 6 divide (h/(-3))/((-2)/6)? False Let x(j) = j - 2. Let s be x(7). Suppose 2*z - s*z - h + 28 = 0, h - 10 = -z. Does 16 divide 55*z/((-135)/(-6))? Fals...
{ "pile_set_name": "DM Mathematics" }
= b**3 + 4*b**2 + 4*b + 3. Let a be t(-2). Is (-16533)/(-21) + 4/(-42)*a a composite number? False Suppose 0 = -f + 2*f - 9. Let d(c) = -50*c + 6 + 86*c - 23. Is d(f) composite? False Suppose 16 = -4*t, 1442987 = 5*w - 2*t - 267526. Is w a composite number? False Let r(m) = 29634*m + 83. Is r(1) composite? False Is (-...
{ "pile_set_name": "DM Mathematics" }
of c. 3, 67 Suppose 2*f - 14 = 0, -69903 = -4*a - 5*f + 63584. List the prime factors of a. 3, 11, 337 Let u(n) = 46*n - 10. Let l be u(3). Let f = l - 118. Suppose 0 = 5*m + f*m - 375. List the prime factors of m. 5 Let j = -1898 + 897. Let q = j - -1799. What are the prime factors of (1 + 25/(-15))/((-4)/q)? 7, 19 L...
{ "pile_set_name": "DM Mathematics" }
c**2) - 1397*c**2 + 1397*c**2 + 308*c**3 - 3*c - 2*c**3 + 3*c + c**3 + 3*c**2 - 3*c**2. 301*c**3 Expand ((-d**2 + 4*d**2 + 0*d**2)*(3*d - 4 + 4) + d**2 - 3*d**3 - d**2)*((4 + 1 + 0)*(-4*d**2 + 8 - 8) - 5*d**2 + 0*d**2 + d**2). -144*d**5 Expand -3*j**3 + 4*j**3 - 2*j**3 + (j + j**2 - j)*(855 - 855 - 331*j). -332*j**3 Ex...
{ "pile_set_name": "DM Mathematics" }
0358104 What is the distance between -3217998194 and 2.048? 3217998196.048 What is -76558 less than 4453893556? 4453970114 Add together -0.503543 and -1652.1587. -1652.662243 Put together -27547 and 0.0602885224. -27546.9397114776 Work out 212636.28504 - -21.771. 212658.05604 Work out -57332427 - 8235. -57340662 -39855...
{ "pile_set_name": "DM Mathematics" }
*(-7/5)))**47 assuming y is positive. y**(-17437/5) Simplify ((s**(-2/3))**(-45)*(s*s**(-4)/s*s*s)**(-2/91))**24 assuming s is positive. s**(65616/91) Simplify ((y**(-1/4)*y**14*y*(y*(y*y/y**8)/y)/(y**6/y*y))**22)**(1/6) assuming y is positive. y**(121/12) Simplify (n*n*n**(-9)*n**(-2)/n)**(-40)*(((n/(n/(n/(n**(7/4)*n)...
{ "pile_set_name": "DM Mathematics" }
0.2 c Which is the second smallest value? (a) -2.25 (b) -2 (c) -1/6 (d) 5 (e) 2 b What is the second biggest value in -3321, -1.09, 1/2? -1.09 What is the biggest value in 1/6, -2, -129, -0.1, -0.071, -0.2? 1/6 What is the third smallest value in 0.2, 12, 16, -0.1? 12 Which is the third biggest value? (a) 1 (b) ...
{ "pile_set_name": "DM Mathematics" }
s 17581.7502 minutes in weeks? 1.74422125 What is 45.41391ms in nanoseconds? 45413910 What is fifty-one fifths of a decade in months? 1224 What is three fifths of a litre in millilitres? 600 How many meters are there in 6/5 of a kilometer? 1200 What is seven eighths of a millennium in months? 10500 What is 7/25 of a ce...
{ "pile_set_name": "DM Mathematics" }
ose 0 = n + 5 - 1. Let l(j) = j + 4. Let w be l(-6). Let b(g) = 3*g + 1. Let v be b(w). Put n, 5, v in decreasing order. 5, n, v Let r(f) = f**2 - 11*f + 8. Let a be r(11). Suppose -a + 4 = -2*n. Put 4, 5, n in descending order. 5, 4, n Let k = 38 - 34. Put k, 1/24, -3/4 in ascending order. -3/4, 1/24, k Let h = -0.04 ...
{ "pile_set_name": "DM Mathematics" }
cking 1 v, 2 s, and 1 o. 9/455 What is prob of picking 1 j and 1 i when two letters picked without replacement from {j: 2, w: 3, h: 5, i: 1, n: 5}? 1/60 What is prob of picking 2 s, 1 e, and 1 t when four letters picked without replacement from {t: 2, s: 11, e: 6}? 55/323 Two letters picked without replacement from {u:...
{ "pile_set_name": "DM Mathematics" }
(c) h c Let y = 0.06 - -2.94. Let i = y - -2. Which is the second biggest value? (a) -0.5 (b) i (c) -5 a Let d = 18.9 - 19. Let w be ((-3)/(-4))/3*(-2 + 8). Let n = -68 - -267/4. Which is the smallest value? (a) n (b) d (c) w a Let f = -0.2 + 0.5. Let r = -0.64 - -1.24. Let x = r - f. What is the biggest value in...
{ "pile_set_name": "DM Mathematics" }
denominator of 19*-1*(-1)/2*432/324 and 38/5379? 5379 Let h = -39013/10 + 3905. Find the common denominator of h and 265/90*(-27)/342. 1140 Let j be 827*(-1)/(-62) + -3 - 1. Let q = 26/31 - j. Let v = -2/227 - -12943/454. What is the common denominator of q and v? 2 Suppose -4*y + 31 = 3. Suppose y*i = 5*i + 4. Suppose...
{ "pile_set_name": "DM Mathematics" }
- 2*u**4 - u**3 + u**3. -22*u**4 Expand 2*t**3 - 2*t**3 + 3*t**3 + (-t**2 + 3*t**2 - 4*t**2)*(-2*t - t + 5*t) - 2*t**3 + 0*t**3 + t**3 + (t**2 - 14*t**2 + 4*t**2)*(-1 + 1 + t). -11*t**3 Expand 6*r - 3*r + 0*r + 3 + r - 3 + (-4*r + r + r)*(-3 - 1 + 1). 10*r Expand (-6*f + 2*f + f + (0*f - 3*f + f)*(-5 + 4 - 1) + 2*f + 2...
{ "pile_set_name": "DM Mathematics" }
+ b*r**2 and give q. -220 Rearrange -3*w**2 + 1 + 21*w**3 - 683*w + 38*w**3 + 678*w - 1 - 2 to the form t*w**2 + k + d*w**3 + z*w and give k. -2 Express -2*d**3 - 13*d**2 - 127 + 328 + d - 4*d**4 - 101 - 98 as s*d + n*d**2 + u*d**3 + i*d**4 + f and give s. 1 Express -15*r + 13*r + 172 + 3*r - r**4 - 2*r**2 + 284 in th...
{ "pile_set_name": "DM Mathematics" }
, t. 0.03, t, 3/2 Suppose 2*w + y = -0*w - 29, w = -3*y - 12. Let z = 24 + w. Suppose 0 = -4*c + 6*j - 3*j + 19, -4*c + j = -17. Put 3, c, z in descending order. z, c, 3 Let k = -0.364 + 3.34. Let s = 0.024 + k. Sort -0.2, s, -0.3, -4 in increasing order. -4, -0.3, -0.2, s Let d(x) = 2*x**2 - 14*x - 1 + 2 + 23. Let c b...
{ "pile_set_name": "DM Mathematics" }
f -23*x**3/2 - 143*x. Let n(i) = -2*i**2. Give n(c(q)). -9522*q**2 Let g(x) = 2*x**2 + 2510*x + 2504*x - 7522*x + 2508*x. Let y(t) = -2*t**2 + t**2 - 6*t - 16*t. What is g(y(s))? 2*s**4 + 88*s**3 + 968*s**2 Let g(f) be the third derivative of -f**5/60 - 63*f**2. Let u(h) = -h**2 + 124*h. Determine g(u(w)). -w**4 + 248*...
{ "pile_set_name": "DM Mathematics" }
086396*g + 130161641348777185. (g - 154931)**3*(g - 35) Factor -14*o**2 + 7906*o/5 + 452/5. -2*(o - 113)*(35*o + 2)/5 Determine c, given that -34*c**4/5 + 23201*c**3 - 98828478*c**2/5 - 41372559*c - 17483094/5 = 0. -2, -3/34, 1707 Find r, given that -3*r**2 - 1103976*r + 3311955 = 0. -367995, 3 Factor 4*l**2 - 3602648*...
{ "pile_set_name": "DM Mathematics" }
*h. Find l such that 28/9 + 74/9*l - 14/9*l**3 - 88/9*l**h = 0. -7, -2/7, 1 Let h(j) be the first derivative of j**5/15 - j**4/12 - 5*j**3/9 - j**2/2 + 2754. Factor h(p). p*(p - 3)*(p + 1)**2/3 Let g(y) be the third derivative of y**8/392 + 71*y**7/490 - 89*y**6/280 - 8191*y**5/70 - 3036*y**4/7 - 576*y**3 + 11*y**2 + 3...
{ "pile_set_name": "DM Mathematics" }
**2 - f**2*l*w + 20300*f**2*l - 2*f*l*w - 239*f*w**2 - f*w - f - 4*w**2 wrt f? -74*l*w**2 - 2*l*w + 40600*l Find the second derivative of 142536*y**5 - 1623415*y. 2850720*y**3 Find the first derivative of 9*i*v**3 + 11*i*v**2 - 4401*i + 2323436*v**3 wrt i. 9*v**3 + 11*v**2 - 4401 What is the third derivative of 6*v**4 ...
{ "pile_set_name": "DM Mathematics" }
2 is divided by n(3)? 35 Suppose 40*u - 805 = 115. What is the remainder when 292 is divided by u? 16 Let s(i) = -2*i**3 - 44*i**2 - 152*i - 3319. Calculate the remainder when s(-30) is divided by 11. 10 Suppose -2*i = 10, -3*m + 21*i - 25*i = -1351. What is the remainder when m is divided by 149? 10 Let h = -176 - -12...
{ "pile_set_name": "DM Mathematics" }
(-1 - 0)). 1 5 + (-2 + 9 - 11) + -7 -6 What is -41 - -35 - (-2 - (2 + 5))? 3 What is the value of (1 - 6) + 2 - (-3 + 4)? -4 What is the value of (5 - 6 - -3) + -4? -2 What is (3 + -5 - -9) + -3? 4 Evaluate 10 - (-6 + 7 - -3). 6 5 + -10 - (-2 + -3) 0 What is -8 + (2 - 6) + 5? -7 What is the value of 1 + (1 - 4 - -3) +...
{ "pile_set_name": "DM Mathematics" }
38 How many minutes are there between 11:08 AM and 1:11 PM? 123 What is 156 minutes after 3:26 PM? 6:02 PM How many minutes are there between 12:21 AM and 9:20 AM? 539 What is 454 minutes before 10:53 AM? 3:19 AM How many minutes are there between 7:13 PM and 11:43 PM? 270 What is 4 minutes before 10:22 PM? 10:18 PM Wh...
{ "pile_set_name": "DM Mathematics" }
m, 5*a - 12*m + 10 = -7*m for a. 1 Let k = 0 - -3. Suppose 158*a - 505 + 173 = 932. Solve -k*u + u - 3*b + a = 0, -b - 2 = -4*u for u. 1 Let b(z) = -2*z. Let u be b(-1). Let r be 89/4 - u/8. Suppose 2*x + j - 14 = 0, -x = 6*j - 3*j - 27. Solve 3 = i, x*i + i = -5*a + r for a. 2 Suppose 72*a - 3252 - 2220 = 0. Solve -a*...
{ "pile_set_name": "DM Mathematics" }
et p = -3.43 - -3.53. Let i be (2/(-5))/(1/(-5)). Let w be ((-2)/5)/(i/(-4)). What is the third smallest value in w, p, 2? 2 Let m = 0.3 + -0.3. Let r be 3/27 + 0 + (-88)/(-18). Which is the second biggest value? (a) m (b) 1 (c) r b Let j = 9 + -6.5. Let z = j + -0.5. Suppose 3*n - p + 21 = -n, 5*p = 25. What is the...
{ "pile_set_name": "DM Mathematics" }
31861, 996126? 1301047 What is the next term in 1079702, 1079925, 1080148, 1080371, 1080594? 1080817 What comes next: 3209, 12890, 29021, 51602, 80633? 116114 What is next in 63948, 255822, 575610, 1023312, 1598928, 2302458? 3133902 What is the next term in 18661949, 37323902, 55985853, 74647802, 93309749? 111971694 Wh...
{ "pile_set_name": "DM Mathematics" }
(2) + 1*sqrt(98)). 6*sqrt(7)/625 Simplify ((sqrt(378)/sqrt(6) + sqrt(7) - sqrt(7)) + sqrt(847) + 1 + sqrt(847) + sqrt(847) + (2 + sqrt(1008) - sqrt(112)*4))**2. 192*sqrt(7) + 7177 Simplify (-5*6*(sqrt(2835) - (sqrt(2835) - 2*sqrt(2835))))/(1*sqrt(252)*-2 + (sqrt(252) + sqrt(252)*2 + sqrt(252) + sqrt(252))*-2). 15*sqrt(...
{ "pile_set_name": "DM Mathematics" }
(-21)*-6)? 1/3 27/(-63)*2/(-3) 2/7 (2/(-4)*-4)/(20/(-40)) -4 Calculate 18/((-12)/4)*(-3)/18. 1 Calculate 60/4*2/24. 5/4 What is the value of ((21/(-49))/(6/4))/(-3)? 2/21 Evaluate (-15)/((-3150)/48)*(-30)/(-12). 4/7 What is ((-2)/4)/(24/(-16))? 1/3 What is 6/(-27)*-1*351/39? 2 Evaluate -1*2*(-45)/(-135). -2/3 Evaluate ...
{ "pile_set_name": "DM Mathematics" }
)/s*s*s)/(s/((s/(s**(-17)/s*s))/s))) assuming s is positive. s**(-34) Simplify d**(-2/5)/(d/(d**(-3/16)/d*d))*(d**(-2/11))**(1/13) assuming d is positive. d**(-18321/11440) Simplify (b/((b/(b*b/b**(3/4)*b))/b))**(-13)/((b*b/b**(-12)*b)/b*b*b/(b*b**1/b)) assuming b is positive. b**(-229/4) Simplify i**28/(i/i**(-19/3))*...
{ "pile_set_name": "DM Mathematics" }
3*o = -23. Let n = 58 + -61. Let k(y) = -4*y - 5. Let h(i) = -7*i - 9. Give l*k(b) + n*h(b). b + 2 Let v(g) = -4*g**3 - 3*g. Let y(r) = 17*r**3 + 13*r. Let q = 13 + -7. Give q*y(f) + 26*v(f). -2*f**3 Let l(m) = 4*m**2 - 2. Let p(j) = -3*j**2 + 7*j - 2. Let c(s) = -4*s**2 + 6*s - 1. Let v(a) = -6*c(a) + 5*p(a). Give 5*l...
{ "pile_set_name": "DM Mathematics" }
the remainder when r is divided by 1? 0 Let a = 73 + -28. Suppose 5*p + 1 = -39. Let b = p + 24. Calculate the remainder when a is divided by b. 13 Let l = -124 + 130. What is the remainder when 19 is divided by l? 1 Let h(z) = -z**2 + 10*z + 3. Calculate the remainder when h(7) is divided by 13. 11 Let h(q) = -q**3 +...
{ "pile_set_name": "DM Mathematics" }