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4*q**2/9 + 16*q/3 - 16. Solve g(c) = 0. -3, -2/5, 2 Let a(d) = d**2. Let w(r) = 4*r + 4. Let x(s) = -a(s) - w(s). Find k, given that x(k) = 0. -2 Let s = 2 + 0. Let y be 0/(2/(4/(-2))). Factor 0 + 1/2*b**3 + y*b + 0*b**s. b**3/2 Let y(v) be the second derivative of v**5/70 + v**4/21 + 11*v. Factor y(d). 2*d**2*(d + 2)/...
{ "pile_set_name": "DM Mathematics" }
05 to the power of 1/9, to the nearest integer? 6 What is 4615551 to the power of 1/3, to the nearest integer? 166 What is 98908 to the power of 1/3, to the nearest integer? 46 What is the square root of 10067246 to the nearest integer? 3173 What is the square root of 2685263 to the nearest integer? 1639 What is the sq...
{ "pile_set_name": "DM Mathematics" }
Solve -i = -r*i for i. 0 Let h = 4 - 1. Suppose 3*s - 5*s = h*w + 13, -4*w - 5*s = 22. Let y(x) = -2*x + 1. Let t be y(w). Solve 1 = -2*z + t for z. 3 Suppose -3*d + 44 = -14*d. Let s be d/(-2) - 3 - (15 - 19). Solve s*i + 1 = 4 for i. 1 Suppose 0 = -107*c + 98*c + 72. Solve 0 = -c*k + 19*k - 33 for k. 3 Suppose 3*t - ...
{ "pile_set_name": "DM Mathematics" }
20 = -3*m, 2*a - 39 = -5*m - 15. Suppose 0 = -2*c + m*t - 10 + 32, -c + 17 = -4*t. Solve 6*k + c = k for k. -1 Suppose -v + n = -9, -2*v - 2*n - n = -3. Suppose 0 = 3*p - v. Suppose -4 = o - 12. Solve -p*h = -0*h - o for h. 4 Let b be 0/(4/(8/6) - 1). Solve b = -3*j - j + 12 for j. 3 Suppose -3*o = -2*x + 2*o + 15, 115...
{ "pile_set_name": "DM Mathematics" }
9. Let g be o(j). Suppose 0 = -g*b - 51 + 236. What is the tens digit of b? 3 Suppose -3*k - 15 = -3*s, -3*k - 8 + 5 = s. Suppose -s*l = -4*w + 258 + 29, -4*l + 67 = w. What is the tens digit of w? 7 Let p = -36 + 30. What is the hundreds digit of p/4 - 3075/(-30)? 1 Let c(r) = 7*r + 6. Let j be c(5). Suppose 5*b + 3*y...
{ "pile_set_name": "DM Mathematics" }
541, -8327540, -8327539, -8327538? -8327537 What is the next term in 1154821, 1154832, 1154843, 1154854? 1154865 What is the next term in -19091329, -19091325, -19091321? -19091317 What comes next: -2494109, -2494124, -2494139, -2494154, -2494169, -2494184? -2494199 What is the next term in 120830, 120781, 120732, 1206...
{ "pile_set_name": "DM Mathematics" }
hich is greater: 0 or -638/461? 0 Is 248613 greater than or equal to 1243064/5? True Is 2154/5111 greater than or equal to -1? True Are 17231 and 172301/10 unequal? True Is -53949 equal to -53954? False Which is bigger: 39 or 6721/171? 6721/171 Which is smaller: -5201/17 or -307? -307 Which is bigger: 1 or -4.2253? 1 I...
{ "pile_set_name": "DM Mathematics" }
0.3 b Let q be (-284)/(-120) + 0 + 14/105. What is the second biggest value in -0.37, q, 3? q Let q = 0 - -0.03. Let r = -82.33 - -82. Let u = r + q. What is the third biggest value in u, -3, 0.5? -3 Let v = 231/5 - 46. Let w(d) = d**2 - 1. Let n be w(1). Let o = n + -4. What is the biggest value in o, 3/2, v? 3/2 Let ...
{ "pile_set_name": "DM Mathematics" }
49101, -449115, -449131, -449149? -f**2 - 5*f - 449065 What is the r'th term of -88, -337, -772, -1405, -2248, -3313, -4612? -2*r**3 - 81*r**2 + 8*r - 13 What is the m'th term of -36320666, -36320673, -36320684, -36320699, -36320718, -36320741? -2*m**2 - m - 36320663 What is the v'th term of 2008349, 2008374, 2008423, ...
{ "pile_set_name": "DM Mathematics" }
n*w + a and give t. -8408 Rearrange (2*r + 0*r + r)*((-1 - 3 + 3)*(4 - 3 - 3) + (0 + 1 - 7)*(-23 + 73 - 20)) to d + z*r and give z. -534 Rearrange (-6*z - 47*z + 7*z)*(-1 + 2 + 0) + 0 + 3*z + 0 + (4*z - 5*z + 3*z)*(2 - 2 + 1) + 4*z + 0*z - 2*z to i + b*z and give b. -39 Rearrange (-256 + 626 - 275)*(-p + p - 8*p)*(-2*p...
{ "pile_set_name": "DM Mathematics" }
(i) = 2*i - 12. Determine p(7). 2 Let j(y) = 3*y + 21. Give j(-4). 9 Let w(o) = -4*o**2 + 3*o + 1. Calculate w(3). -26 Let p(x) = -56*x + 480. Determine p(9). -24 Let o(j) = -2*j**2 - 18*j - 34. Determine o(-11). -78 Let y(p) = 3*p - 1. Determine y(2). 5 Let q(x) = -98*x**3 + 2*x**2 - x - 1. What is q(1)? -98 Let u(d) ...
{ "pile_set_name": "DM Mathematics" }
at 7/5*d**3 + d**4 + 2/5*d**2 + 0 + 0*d = 0. -1, -2/5, 0 Let q(n) be the third derivative of -n**5/75 + n**4/10 - 4*n**3/15 + 26*n**2. Let q(s) = 0. Calculate s. 1, 2 Let p(s) be the first derivative of -s**6/30 + s**5/10 - s**4/12 + 3*s - 1. Let t(x) be the first derivative of p(x). Factor t(w). -w**2*(w - 1)**2 Let x...
{ "pile_set_name": "DM Mathematics" }
t q be (2 - (3 - 3))*-1*-1. Suppose 5*t = -3*m + 24, q*t + m = 3*t. Suppose -t*r + 24 = 3*s - 342, 3*s = -4*r + 361. What is the tens digit of s? 2 What is the units digit of ((-148)/185)/((-1)/5680)? 4 Let b = -6550 + 12181. What is the units digit of b? 1 Let y = -5441 + 2608. Let b = -1613 - y. What is the thousands...
{ "pile_set_name": "DM Mathematics" }
-284 + 458. Let p = d - 93. Let n = 81 - p. Put 1, 1/2, n in ascending order. n, 1/2, 1 Let r = -884 - -1475. Let k = 591 - r. Sort -198, k, 3 in descending order. 3, k, -198 Let j = -13234 - -11893. Sort j, -5, -2, 5 in descending order. 5, -2, -5, j Let p be 1/(1*-1 + -14 + 14). Put 15, p, 12, 3 in decreasing order....
{ "pile_set_name": "DM Mathematics" }
mplify -1*(-2 + sqrt(1900) + -1)**2. -1909 + 60*sqrt(19) Simplify (-4 + (sqrt(567) + sqrt(7) - sqrt(7)))*-6. -54*sqrt(7) + 24 Simplify sqrt(38)/sqrt(2) + -1 + sqrt(19) + sqrt(1539) + -1. -2 + 11*sqrt(19) Simplify sqrt(20)/(sqrt(4) - ((sqrt(8)*-1)/sqrt(2) - sqrt(4))). sqrt(5)/3 Simplify sqrt(170)/(sqrt(40)/sqrt(4)) - sq...
{ "pile_set_name": "DM Mathematics" }
tters picked without replacement from kkjuukkcukjjajjkjkj. Give prob of sequence cku. 7/1938 What is prob of sequence ffjf when four letters picked without replacement from {j: 2, f: 16}? 14/153 Three letters picked without replacement from ddvbdvvdvddsdkk. Give prob of sequence kds. 1/195 Calculate prob of sequence jj...
{ "pile_set_name": "DM Mathematics" }
4.6811. What is the closest to z in 67, -0.3, -0.2? -0.2 Let o be (-5)/2*(-2042)/(-5). Let i = o - -7145/7. Let d(l) = l**2 - 6*l + 5. Let r be d(4). Which is the nearest to i? (a) r (b) 0 (c) -0.7 b Let j be (6/(-18))/(6/9). Let t be (-4)/(500/(-60) + 1*7). Which is the closest to -2? (a) t (b) 2 (c) j (d) -0.4...
{ "pile_set_name": "DM Mathematics" }
est value in -6/5, z, -0.4, -5, 2/33? -6/5 Suppose -2*m = -2*i + 562, -3*i + 5*m - 6*m = -823. Let u = i + -1936/7. What is the smallest value in 1, 3, u? u Let u(s) = -20*s - 1620. Let r be u(-81). Which is the biggest value? (a) 1/3 (b) 3/8 (c) r (d) -1 b Let s = -5121.9 - -5122. Which is the second biggest value...
{ "pile_set_name": "DM Mathematics" }
5 - 15)*(-11*l + 4*l**2 + 11*l). -464*l**3 Expand (-5*v + 3*v + 0*v)*(-580*v**2 + 225*v**2 + 182*v**2). 346*v**3 Expand (-53 + 17 - 26 - 10)*(12 + 14 - 6)*(5*u**3 - 2*u**3 - 2*u**3). -1440*u**3 Expand (-1 + 3*o**2 - o - 1 - o**2)*(252 + 272 + 244). 1536*o**2 - 768*o - 1536 Expand 2*f**4 + 0 + 0 + (3*f**2 + 2*f**2 + 26*...
{ "pile_set_name": "DM Mathematics" }
k + 42 = 5*v - 4*k. Calculate the remainder when 28 is divided by v. 4 Let l(m) = -m**3 + 14*m**2 + 2*m - 10. Calculate the remainder when 51 is divided by l(14). 15 Suppose -58 = -2*t + 2*u, -4*u - 38 = 3*t - 4*t. Calculate the remainder when 127 is divided by t. 23 Let v(g) = 4*g + 2. Let r(c) = -2*c - 1. Let i be r(...
{ "pile_set_name": "DM Mathematics" }
when q is divided by 35? 34 Let i(g) = -g**3 - 15*g**2 - 31*g - 5. Let y be i(-13). Suppose 7*v - v - y = 0. What is the remainder when 44 is divided by v? 4 Suppose 32*b - 35*b = -3. Calculate the remainder when (-3)/b - (-150 + 5) is divided by 18. 16 Suppose 0 = a + 2*a - 9. Suppose 6 = -g + a*s, 2*g - s + 6 = 3*g....
{ "pile_set_name": "DM Mathematics" }
392*j**2 + j**4 + 481*j - 5 + 30393*j**2 to the form h*j**4 + g + p*j**3 + t*j + m*j**2 and give g. -5 Express -39*r + 85*r + 103*r - 10*r**2 + 1 as o + p*r**2 + c*r and give p. -10 Express 3703 - g**3 - 7396 + 3699 + 39*g + 0*g**3 + g**2 as f*g**3 + h + o*g + x*g**2 and give x. 1 Rearrange 4*l - 4*l - 3*l**3 - 4*l**4 ...
{ "pile_set_name": "DM Mathematics" }
be the third derivative of -q**6/120 - 7*q**5/60 - q**4/24 - 2*q**3/3 - 2*q**2. Let r be b(-7). Let -2/7*i**r - 2/7*i**2 + 2/7*i + 2/7 = 0. What is i? -1, 1 Let m be (-1 - -3)/1 - -1. Factor -j**5 - 1 - 2*j**2 - 2*j**3 + 4*j - 2*j + m*j**4 + j. -(j - 1)**4*(j + 1) Let v(u) be the second derivative of 0*u**2 + 0 - 3*u ...
{ "pile_set_name": "DM Mathematics" }
2 at least q? True Let z(j) = -10*j**3 + 11*j**3 + 6 + 4*j**2 + 5*j**2 + 8*j. Let p be z(-8). Suppose -p*o = -3*o + 36. Which is greater: -13 or o? o Let w = -1.79 - -0.19. Let x = -1.49 - w. Let l = 1.89 + x. Which is smaller: -0.4 or l? -0.4 Let j = 971.1 - 971. Which is smaller: j or 3/64? 3/64 Let u = 0.109 + 0.041...
{ "pile_set_name": "DM Mathematics" }
2*sqrt(1539) + 5)))**2. -7200*sqrt(19) + 616000 Simplify -1*((sqrt(13) - -2*(sqrt(13) - sqrt(117))) + sqrt(13) + (1*sqrt(117))**2)*-2. -4*sqrt(13) + 234 Simplify (sqrt(22) + (sqrt(22)*-3 - sqrt(22)))/sqrt(11) + 5 - 6*(sqrt(2) + (2 + sqrt(2))*5). -39*sqrt(2) - 55 Simplify ((-1*(-2 + sqrt(2057)) + (sqrt(2057) - (sqrt(205...
{ "pile_set_name": "DM Mathematics" }
4. What are the prime factors of (416/(-24))/(s/6)? 2, 13 Let w = -31 - -34. Suppose 4*k - w*k - 2 = 0. What are the prime factors of k? 2 Let y(c) = 2*c**2 + 3*c - 2. Let u be y(-3). Let r = u - 1. Suppose r*s = 4*s + 8. List the prime factors of s. 2 Let p be -2 + -22 + 5 + -3. Let f = 0 - -1. Let t = f - p. List th...
{ "pile_set_name": "DM Mathematics" }
t(99))). sqrt(17)/12 Simplify (1*sqrt(539))**2 + (1 + sqrt(1584))**2 + sqrt(1584) + 2. 36*sqrt(11) + 2126 Simplify (sqrt(9)/sqrt(3)*1*-3 + 4*sqrt(33)/(sqrt(44) - sqrt(11)))**2. 3 Simplify -1 + sqrt(252)*-4 + -1. -24*sqrt(7) - 2 Simplify ((sqrt(3168)*3)/(2*sqrt(99)))**2. 72 Simplify -2 + sqrt(35)/(sqrt(5)*1) + (sqrt(252...
{ "pile_set_name": "DM Mathematics" }
nd derivative of -d**4/36 - 23*d**3/18 + 187*d**2/3 + 1854*d - 2. Find w such that i(w) = 0. -34, 11 Let x(g) be the second derivative of -2/45*g**5 + 0*g**3 + 0 + 1/135*g**6 + 0*g**2 + 74*g + 2/27*g**4. Determine v, given that x(v) = 0. 0, 2 Let n be (-4)/(-48)*6*(-12)/(-2). Factor -11*s**2 - 49*s**2 - 18*s + n*s + 15...
{ "pile_set_name": "DM Mathematics" }
multiple of 10? True Is 1892 a multiple of 8? False Does 7 divide 2016? True Is 9519 a multiple of 19? True Is 13896 a multiple of 8? True Is 18 a factor of 107854? False Does 131 divide 3494? False Is 13460 a multiple of 5? True Is 12 a factor of 1764? True Does 53 divide 12927? False Is 124 a factor of 14243? False I...
{ "pile_set_name": "DM Mathematics" }
-2, -4*q + h + 20 = 0. Solve 4*b - 8 = -v - b, -5 = -q*b for v. 3 Let m(c) = -6*c - 71. Let h be m(-15). Solve -2*p = 6 + 4, 0 = 2*r + 5*p + h for r. 3 Let p be (-60)/(-9)*(0 - -3). Suppose 0 = 4*f - p - 0. Solve -k - 3 = b - 5, f*b - 15 = 0 for k. -1 Suppose 0 = -2*v + 4*v + 4*h + 2, -5*v + 11 = 2*h. Solve -c + 7 = 4*...
{ "pile_set_name": "DM Mathematics" }
. 3 Let l(k) = -2*k**2 + 19*k - 45. Let y be l(12). Suppose c - 63 = 37. Let s = c + y. Let r(p) = 2*p**2 + 8*p + 5. Calculate r(s). 15 Let z(o) = o**3 - 6*o**2 - 8*o + 4. Let q be (0/(-3))/(-4) - 1 - -3. Suppose 0 = 5*b - 2*r - 29, q*r = -39*b + 41*b - 8. Determine z(b). -3 Suppose d = -3*f + 75, -f - 64 = -3*f + 4*d....
{ "pile_set_name": "DM Mathematics" }
-43865225450.387 What is -30209.6964086 - -2? -30207.6964086 Total of 710482.28 and -2699697. -1989214.72 What is 0.318756 less than -50330705? -50330705.318756 Work out 2256567912 + 24.82. 2256567936.82 What is -0.1 + -563.5846153? -563.6846153 -0.4 + -45160728267321 -45160728267321.4 253.56429 + -122.0336 131.53069 W...
{ "pile_set_name": "DM Mathematics" }
ve of 18*h**4*j*k - h**4 + 8*h**3*j*k - 3*h**2*j - 27*h*j*k + h*j - h wrt h? 432*h*j*k - 24*h + 48*j*k Differentiate -4474*n - 2253 with respect to n. -4474 Find the first derivative of 533*s + 439. 533 What is the second derivative of q**5*r**3 + 4*q**3*r + 4*q**2*r**3 - 15*q*r**3 + 3*q - 3*r**3 wrt q? 20*q**3*r**3 + ...
{ "pile_set_name": "DM Mathematics" }
770. Does 14 divide b? False Let r(p) be the first derivative of p - 1/2*p**2 + 1/4*p**4 + 5/3*p**3 - 1. Is r(-5) a multiple of 6? True Let b(x) = -x**2 + x. Let w(s) = 4*s**2 + 7*s - 6. Let p(n) = -2*b(n) + w(n). Suppose 0 = 2*j - 10 + 4. Does 21 divide p(j)? True Suppose -5*i - q = -1502, -2*q - 298 = -i - q. Does 30...
{ "pile_set_name": "DM Mathematics" }
c + 9084. List the prime factors of m. 13, 233 Suppose -300*l + 319*l = 4902. What are the prime factors of l? 2, 3, 43 Let x(y) = -65*y**2 + 1. Let a be x(-1). What are the prime factors of (-4)/(a/780) - (-3)/12? 7 List the prime factors of 1162 + 2 + (-5 + -2)*1. 13, 89 Let x(d) = -4*d**2 + 2. Let f(l) = 7*l**2 - 1 ...
{ "pile_set_name": "DM Mathematics" }
.25, 460.3, -2, -4, 6, 1. -4, -2, 0.25, 1, 6, 460.3 Sort -2, -192895795, 3 in increasing order. -192895795, -2, 3 Sort 0, 0.3, 4, -24257, 3, -877 in descending order. 4, 3, 0.3, 0, -877, -24257 Put -5, 13, 0.3736, 7 in ascending order. -5, 0.3736, 7, 13 Put 2/5, -4, 0.5, 98, 6, -19, 130 in descending order. 130, 98, 6,...
{ "pile_set_name": "DM Mathematics" }
d + 17 for n. -2 Solve -78*i = -80*i - 5*g - 11, 3*i = -3*g - 3 for i. 2 Solve -6*g = -7*x + 3*x, 4*g = -g - 4*x + 44 for g. 4 Solve 35 = -4*t - 3*u, -8*u = 4*t + 34 + 6 for t. -8 Solve -5*s = 4*g - 9, 0 = 2*s - 441*g + 447*g + 14 for s. 5 Solve 39*b + 2*g = 43*b - 18, -4*b - 2*g + 14 = 0 for b. 4 Solve -3*n + 10 = -2*...
{ "pile_set_name": "DM Mathematics" }
. 14 Solve -1007*s + 952*s = 550 for s. -10 Solve 182*x + 72 = 2*x - 648 for x. -4 Solve -2*j + 151 = 30*j - 137 for j. 9 Solve -1570 = 9*v + 271*v - 170 for v. -5 Solve 18*w + 52 = 69 + 73 for w. 5 Solve 46*p = -114*p + 160 for p. 1 Solve 122*d = 23*d + 282 - 84 for d. 2 Solve -130*w + 295 = -392 - 223 for w. 7 Solve ...
{ "pile_set_name": "DM Mathematics" }
. Let g = -197.0000464 - l. Round g to six dps. -0.000046 Let h = 328.0216 + -328. Let a = 0.01417 - h. Round a to four dps. -0.0074 Let w = -8.7 - -150.2. Let d = -106 + w. What is d rounded to the nearest integer? 36 Let w = -476481 + -1892223. Let v = w + 2368702.360177. Let d = v - -1.64. What is d rounded to five ...
{ "pile_set_name": "DM Mathematics" }
/5 in 2, 1, x? x Let a be 6/15*(1 + (-8)/18). What is the closest to -0.2 in 0.3, a, -2/9? -2/9 Let j = -310/7 - -44. Let q = 35 - 39. Which is the closest to 0.4? (a) j (b) -1/3 (c) q a Let c(b) = b + 3. Let s = 0 + -6. Let z be c(s). Let r = 33.8 + -34. What is the nearest to r in -2/5, 1, z? -2/5 Suppose -l = -0 ...
{ "pile_set_name": "DM Mathematics" }
ctor of g and d. 12 Suppose -14*w + 8*w + 576 = 0. Let o be (6/2)/(8/w). Calculate the greatest common divisor of o and 90. 18 Let h(b) = b**3 + 42*b**2 + 77*b - 104. Let i be h(-40). What is the highest common divisor of i and 144? 16 Suppose -29*p + 36*p - 35 = 0. Suppose 4*l + 10 = p*l. Let v be 1*(-1)/2*-4. What is...
{ "pile_set_name": "DM Mathematics" }
40667733, 47445674? 54223611 What is the next term in -7393622, -7393594, -7393552, -7393490, -7393402? -7393282 What is next in -27878, -27917, -27980, -28067, -28178, -28313, -28472? -28655 What comes next: 758111, 1516254, 2274397, 3032540? 3790683 What is the next term in 1356, 2612, 3726, 4662, 5384, 5856, 6042? 5...
{ "pile_set_name": "DM Mathematics" }
What is ((-18)/(-63))/((12/21)/(1430/4004))? 5/28 Evaluate 15/132*4 + 4743/(-561). -8 Evaluate (-14)/16*(-2 + (-3328)/(-182) + -18). 3/2 Calculate 531/(-8850)*((-30)/(-27))/(-5). 1/75 What is (-1 + (-48)/(-21))/((-2346)/(-644))? 6/17 Calculate -2*(-6)/30 + 1235/(-25). -49 Calculate ((-1665)/87 - -19)/(6/(-87)). 2 Calc...
{ "pile_set_name": "DM Mathematics" }
to the nearest ten? -5140 What is -0.005542393 rounded to 4 dps? -0.0055 Round -0.61984706 to 3 decimal places. -0.62 Round -6533.2089 to zero dps. -6533 Round -9486.5195 to 1 dp. -9486.5 Round 7.478902643 to 1 dp. 7.5 What is 0.000290865113 rounded to 6 dps? 0.000291 What is -62562.14402 rounded to zero dps? -62562 W...
{ "pile_set_name": "DM Mathematics" }
438 Find the first derivative of -3*i**2*j**3 - 46*i**2 - 143*j**3 wrt i. -6*i*j**3 - 92*i What is the third derivative of 11*h*y**6 - 462*h*y**2 - h*y + 24*y**6 wrt y? 1320*h*y**3 + 2880*y**3 What is the third derivative of 837*w**3 + 86*w**2 + 4*w wrt w? 5022 What is the second derivative of 74*o**5 + 63*o**4 - 3*o ...
{ "pile_set_name": "DM Mathematics" }
s + 2 = l, 0 = -23*l + 24*l - 2*s - 14. What is the second derivative of -9 + 8*m - l*m + 209*m**4 - 55*m**4 + 2 wrt m? 1848*m**2 Let h(b) be the third derivative of 2 + 1/6*b**3 - 8/3*b**4 + 28*b**2 - 29/10*b**5 + 0*b. Find the second derivative of h(n) wrt n. -348 What is the second derivative of 11*x**4 + 1 + 658*x ...
{ "pile_set_name": "DM Mathematics" }
sitive. f**(8/3) Simplify ((x**3*x**(-1/6)*x)/(x/(x/((x*x**(1/4)/x)/x))*x**(2/7)))/((x*x/x**(2/7))**35/((x*x**1)/(x*x/x**5*x))) assuming x is positive. x**(-4343/84) Simplify ((z**(6/11)*z)/z*z**(-6/5)/z*z*z*z*(z/(z*z*z*z/(z/((z*z/(z/(z*z/z**6)))/z)))*z)**(-2/59))**(-27/2) assuming z is positive. z**(-54486/3245) Simpl...
{ "pile_set_name": "DM Mathematics" }
= -0*z - 2*z + 4. Solve -9 = -o - 4*c, -7*c = -a*o - z*c - 7 for o. 1 Suppose 30*o + 11 = 2*w + 31*o, 0 = 5*w - 5*o + 10. Solve 2*d + w*a = 9, 2 = -d + 5*a - 0 for d. 3 Let f(i) = -2*i + 27. Let d be f(13). Suppose 3 = -p, 3*m + 5*p - d = -10. Solve -m*y + r + 4 = 0, 5*y - r + 1 = 5 for y. 0 Let y be (-275)/(-25) - (2 ...
{ "pile_set_name": "DM Mathematics" }
ement from keekeeeeeeeee? 3/26 Calculate prob of sequence gqq when three letters picked without replacement from {q: 4, g: 6}. 1/10 Four letters picked without replacement from {f: 4, n: 3, k: 1}. Give prob of sequence fknn. 1/70 Calculate prob of sequence roqs when four letters picked without replacement from {s: 2, o...
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from {w: 7, h: 4, b: 1, t: 1}. What is prob of picking 2 w and 1 h? 42/143 What is prob of picking 1 q and 1 c when two letters picked without replacement from qfecm? 1/10 Four letters picked without replacement from cenyemmennjmj. Give prob of picking 3 m and 1 y. 1/715 Calculate prob of ...
{ "pile_set_name": "DM Mathematics" }
g(-12) prime? False Let f = 8 + -4. Suppose -141 = 87*z - 1185. Is f/(-24) - (-9446)/z prime? True Let t(n) = -n**3 + 20*n**2 - 4*n + 82. Let d be t(20). Is 2*d/22 - 791595/(-231) composite? True Let d(o) = 15*o - 37. Let i be (0 - -3)*(3 - -7). Suppose v - g + 0 = 6, -5*v + i = 4*g. Is d(v) a composite number? False ...
{ "pile_set_name": "DM Mathematics" }
s the greatest common factor of 100 and d? 10 Let f(j) = j**3 + 7*j**2 + 3*j - 8. Let m be f(-5). Calculate the greatest common factor of m and 72. 9 Let o = -14 - -47. Suppose -3*w = 5*q - 232, 13*q = 8*q - w + 224. What is the greatest common divisor of q and o? 11 Let k be (14 - (-2 - 0)) + -2. Let n = k - 6. Let h ...
{ "pile_set_name": "DM Mathematics" }
is the units digit of 8413? 3 What is the ten thousands digit of 141055? 4 What is the hundreds digit of 1505? 5 What is the ten thousands digit of 10978? 1 What is the tens digit of 54584? 8 What is the thousands digit of 91891? 1 What is the ten thousands digit of 23050? 2 What is the hundreds digit of 98999? 9 What ...
{ "pile_set_name": "DM Mathematics" }
72, -5931, -8570, -11689? -240*i**2 + i + 64 What is the k'th term of -39083, -39075, -39061, -39041, -39015, -38983, -38945? 3*k**2 - k - 39085 What is the a'th term of 238, 876, 1932, 3400, 5274, 7548, 10216, 13272? -a**3 + 215*a**2 + 24 What is the s'th term of 89154, 89113, 89062, 88995, 88906, 88789? -s**3 + s**2 ...
{ "pile_set_name": "DM Mathematics" }
w**4/12 - 4*w**3/3 - w**2 - w - 26. Give f(-6). 10 Let z(w) = w**3 + 6*w**2 - 9*w - 9. Let c be (-21)/14*8/(-3). Let a(p) = p**2 - 3*p - 11. Let f be a(c). What is z(f)? 5 Let h(r) = 4*r**3 + r**2. Let d be h(1). Let o(k) = 3*k**2 - 3*k**2 + d*k**2 - 4*k**2. Suppose 2*c + 10 = -3*c + 2*t, 0 = c - 5*t + 25. Calculate o(...
{ "pile_set_name": "DM Mathematics" }
Let d = -8.02 + 8.12. Which is the nearest to d? (a) 1 (b) y (c) w b Suppose 4*j - 5 = 3*q + 5*j, 4*q + 4*j = -4. Let t = -10 + 86. Let d = -76.5 + t. What is the nearest to 1 in q, 2/5, d? 2/5 Let p be (6 + 6)/6 - 5 - -6. Let t = -0.3 - 0.7. Which is the closest to t? (a) -0.3 (b) p (c) -4/7 c Let n = 29 + -17. ...
{ "pile_set_name": "DM Mathematics" }
- 8*t + 5*v + 54 = 0, 2*t + 5*v = 61. What is the remainder when 87 is divided by t? 18 Suppose n + 17 = 2*y + 2, 0 = -4*y + 4*n + 36. Let w be (-72)/(-16)*(-8)/y. Calculate the remainder when 9 is divided by (-30)/(-4)*(-4)/w. 4 Let a(d) = -d**3 + 6*d**2 + 4*d - 3. Let z be a(5). Suppose -2*g - g - 6 = 0. Let u = g +...
{ "pile_set_name": "DM Mathematics" }
12 = -5*f, 4*c + f = 25. Solve c = -l + v for l. 5 Let k = -219 + 256. Solve 0 = 9*s + 19 - k for s. 2 Suppose -7*j + 36 = 1. Suppose -6*m + j*m + 6 = 0. Solve -4*f + f = m for f. -2 Let c = 8 - 4. Suppose f - 7 = -5*h + 18, 0 = 5*f + 5*h - 25. Solve f*b = -c*b for b. 0 Suppose -2 + 44 = 5*j + 4*w, -5*w = 3*j - 33. Le...
{ "pile_set_name": "DM Mathematics" }
*x wrt v. -3*j - 12*u*x**2 + 26*v*x Differentiate -64*c**2*f*h**2 + c**2*h + 12*c*f**2*h + 312*h**2 with respect to f. -64*c**2*h**2 + 24*c*f*h What is the second derivative of -1232*a**2 - 3303*a - 1? -2464 Find the third derivative of 1081*t**5*u**2 + 2*t**5*u + 6*t**2*u**2 - 23*t**2*u wrt t. 64860*t**2*u**2 + 120*t*...
{ "pile_set_name": "DM Mathematics" }
i = 0.53695 - 0.54. What is i rounded to 4 dps? -0.0031 Suppose 55184 = -0*o + 2*o. Let r = 1592 - o. Round r to the nearest ten thousand. -30000 Let p = -1976090 - -136090. Round p to the nearest one million. -2000000 Let q be 108 + 3 + (-1)/1. What is q rounded to the nearest 10? 110 Let t = -12039.601 - 9.399. Let ...
{ "pile_set_name": "DM Mathematics" }
618.94989. -7922021.05011 What is -21618.5 minus 530161? -551779.5 What is -1645136275 take away 3.3885? -1645136278.3885 407 + 9961086714.4 9961087121.4 -3175 - 36937160.5 -36940335.5 What is 13975208.263 - -0.152? 13975208.415 Work out -4116527091 + -394. -4116527485 What is 2.487 - 6045463.0749? -6045460.5879 300 +...
{ "pile_set_name": "DM Mathematics" }
hat is 0.17 take away -5290? 5290.17 What is -352 take away 6? -358 Calculate 5 + 1697. 1702 0.5+456992 456992.5 What is 0.028 + 0? 0.028 What is 12.11 - 0.13? 11.98 Calculate -2 + -1262. -1264 Calculate -0.0458 + -0.62. -0.6658 0.3 - -791396 791396.3 0.5+-585 -584.5 Calculate 26160 + 0.2. 26160.2 What is 83 plus 88? 1...
{ "pile_set_name": "DM Mathematics" }
186? -3*x**2 + 3*x + 222 What is the a'th term of -40, -124, -264, -460, -712, -1020? -28*a**2 - 12 What is the z'th term of 137, 131, 105, 47, -55, -213? -2*z**3 + 2*z**2 + 2*z + 135 What is the z'th term of -8, 2, 12, 22? 10*z - 18 What is the z'th term of 263, 278, 275, 242, 167? -2*z**3 + 3*z**2 + 20*z + 242 What ...
{ "pile_set_name": "DM Mathematics" }
2*s**2 - s + 4. Let a be j(4). Suppose 0 = -0*k - 8*k + a. What is the remainder when 63/2*(-20)/(-30) is divided by k? 9 Let j(y) = 79623*y + 3. Let i be -2*(-2)/4 - -1. Suppose 0 = -2*z + i + 8. What is the remainder when z is divided by j(0)? 2 Suppose 13 = 2*i + 23. Let o(f) = 2*f**2 - 8*f - 19. Calculate the remai...
{ "pile_set_name": "DM Mathematics" }
v be i(-9). What is the second derivative of 25520*z**3 + v*z + 144*z**5 - 25520*z**3 wrt z? 2880*z**3 Let y(m) = -4815*m**4 + 24*m**2 + 828. Let v(r) = 1605*r**4 - 9*r**2 - 278. Let p(s) = -8*v(s) - 3*y(s). Differentiate p(n) with respect to n. 6420*n**3 Let r(h) be the third derivative of 0*h**3 + 47*h + 2*h**2 + 49...
{ "pile_set_name": "DM Mathematics" }
). -11 Suppose 1616 + 2164 = 210*q. Let o(z) = z**3 - 19*z**2 + 19*z - 20. What is o(q)? -2 Let w(i) = -8*i**2 + 0*i**2 + 47 + 124*i - 182*i - 34. Give w(-8). -35 Let h be (-8)/12*((-143)/22 - -5). Let v(t) = -61*t + 1 + 115*t - 75*t. Calculate v(h). -20 Suppose -205*b + 1170 = -166*b. Let i(o) = o**2 - 33*o + 64. What...
{ "pile_set_name": "DM Mathematics" }
in 498000.24 nanoseconds? 0.0000001383334 What is 417454.5 kilometers in centimeters? 41745450000 What is 978038.9ug in grams? 0.9780389 What is thirty-three fifths of a second in milliseconds? 6600 What is 0.7024296ml in litres? 0.0007024296 What is thirty-four fifths of a millennium in months? 81600 Convert 867.576 y...
{ "pile_set_name": "DM Mathematics" }
w: 3, v: 1, t: 2, s: 6}. What is prob of picking 1 s, 1 p, 1 v, and 1 w? 18/715 Calculate prob of picking 2 z when two letters picked without replacement from iiiiiiiiziiiiiziii. 1/153 Calculate prob of picking 3 u when three letters picked without replacement from uuquuunqsq. 1/12 Calculate prob of picking 2 b when t...
{ "pile_set_name": "DM Mathematics" }
-65)/15)? 6 Let y = -286 - -278. Let j(r) = 8*r**2 - 60*r + 6. What is the hundreds digit of j(y)? 9 Suppose -33*r = 18487 + 31211. Let j = -483 - r. What is the units digit of j? 3 Suppose 1909 = 5*y - 491. What is the units digit of y - (7 + -2 - 13/13)? 6 Let s = 2380 + -1821. What is the tens digit of s? 5 Let i(v)...
{ "pile_set_name": "DM Mathematics" }
Is (-4)/22 - 1636/f a composite number? False Is (-1)/4 - (-425469)/132 prime? False Suppose 13*t + 19566 = 31*t. Is t a composite number? False Let z = -6687 + 18538. Is z composite? True Let r = 11441 + -2070. Is r composite? False Let r(d) = -107*d + 331. Is r(-24) composite? True Suppose 4*x - 8*x + 404 = 0. Suppos...
{ "pile_set_name": "DM Mathematics" }
04.68. -160737.68 What is -264749 + 5.01? -264743.99 Subtract -39 from -96842982. -96842943 Sum -6.5 and 28969.3. 28962.8 Sum 45114 and -16.2. 45097.8 Sum 8 and 0.62205648. 8.62205648 Add -19.2 and -1.1497. -20.3497 Calculate -7.1 - -669.80677. 662.70677 Work out -0.1 + -69590.5. -69590.6 What is -3 + -3723410.7? -3723...
{ "pile_set_name": "DM Mathematics" }
2 + 6*g - 3. Let b be w(8). Let x = -91 + b. What is the highest common factor of x and 90? 18 Let c(d) be the first derivative of -5*d**4/2 - d**3/3 + d**2/2 + d + 41. Let v be c(-1). What is the highest common divisor of 18 and v? 9 Let g(o) = 5*o - 10. Let q be g(8). Suppose 6*h + 24 = q. Calculate the greatest comm...
{ "pile_set_name": "DM Mathematics" }
for j. 4 Let u(b) = -19*b**3. Let s be u(-1). Suppose -4*t - 3 + s = 0. Solve 0*a = 2*f - 4*a + 8, 4*f = -t*a + 20 for f. 2 Suppose -u + 30 = 3*w - 0*w, 5*u - 110 = 5*w. Solve 3*o - 4*r = 4*o - 18, 4*r - u = -4*o for o. 2 Suppose -3*i - 33 = -4*f, 2*i + 15 = 2*f + i. Solve f = 2*b - 4*p, b - 7 = -0*p - 2*p for b. 5 Le...
{ "pile_set_name": "DM Mathematics" }
ed by 2223352? -4 Calculate -17220298 divided by -32926. 523 Divide -236570 by -39. 236570/39 Calculate 2040334692 divided by -1. -2040334692 Divide 186206 by 116. 93103/58 -43073284 divided by -4 10768321 Calculate -93628 divided by -12. 23407/3 Calculate -1010 divided by -1617. 1010/1617 Calculate -6686988 divided by...
{ "pile_set_name": "DM Mathematics" }
0.5 Suppose y + y + 6 = 0. Sort y, 4, 3 in increasing order. y, 3, 4 Let l = 8 - 8.3. Suppose -4*h - 3*a + 17 = -4*a, -12 = h + 3*a. Suppose -h*j + 0*j = 0. Sort l, 1/4, j. l, j, 1/4 Let s = -0.41 - -3.41. Put 4/3, s, -1 in descending order. s, 4/3, -1 Let z be (10/(-8))/(1/(-4)). Suppose n - z = -0*n + o, 4*n = 5*o +...
{ "pile_set_name": "DM Mathematics" }
5. Suppose -2*x + 33 = t. Calculate the least common multiple of x and w. 99 Let f(l) = -l**2 - 9*l - 4. Let j be f(-7). Suppose 0*i + i = -j. Let k = i - -26. Calculate the smallest common multiple of k and 12. 48 Suppose t + 35 = 6*t. Suppose -27 = -m - 2. Suppose 2*k = 5*r - 19, -2*r + m = 5*k - 0*r. Calculate the l...
{ "pile_set_name": "DM Mathematics" }
d less than x? False Suppose 5 - 2 = n. Suppose 5*p + n*a - 170 = a, -2*p = -2*a - 82. Let h be (-70)/(-72) - p/48. Which is bigger: h or 0.1? h Let v(g) be the third derivative of g**6/120 + g**5/15 - 5*g**4/24 - g**3/6 - 20*g**2. Let d be v(-5). Let w = -1/21 - 59/84. Which is smaller: d or w? d Let l = -37 - -11. L...
{ "pile_set_name": "DM Mathematics" }
)/x? 7 Let u = -28 + 879. What is the hundreds digit of u? 8 What is the tens digit of (7 + -533)*(-1)/2? 6 Let f(k) = 8*k**2 - 2*k - 6. What is the units digit of f(8)? 0 Suppose -632 = -2*o + 4*k, -9*k + 20 = -4*k. What is the tens digit of o? 2 Let p be (-6)/(-2) - (-13 - -11). Suppose -7 = -p*c + 28. What is the un...
{ "pile_set_name": "DM Mathematics" }
*4/24 + 5*b**3/3 - 2*b**2 - b. Let g(l) = -772 - 4*l + 386 + 386. What is c(g(y))? -4*y + 10 Let f(y) = 4*y - 11. Let o(a) be the second derivative of 11*a**4/3 - 4743*a. Determine f(o(l)). 176*l**2 - 11 Let w(g) = -3*g + 1. Let j = 54 - 52. Let h(a) = a - 1. Let l(i) = j*w(i) + 2*h(i). Let p(o) be the third derivative...
{ "pile_set_name": "DM Mathematics" }
*z - 21 = -c*m, 4*z = s - 3 for m. 2 Suppose 33 = -43*t + 162. Solve -5*q = t*n + 23, -4*n - q + 26 = 34 for n. -1 Let r(n) = -18*n + 126. Let u be r(7). Suppose x - 4*x = -12. Suppose -2*w = 3*w - 5*d + 5, w - x*d + 4 = 0. Solve -5*o - 17 = m - w*o, -3*m - o - 9 = u for m. -2 Suppose 5*f = 2*y - 116, 5*y + 2*f + 2*f =...
{ "pile_set_name": "DM Mathematics" }
-7? 5 Let r(s) = 2*s**2 + s - 1. What is the remainder when 49 is divided by r(-3)? 7 Suppose 7*p - 2*p = 10. Suppose 6*v - p*v = 28. What is the remainder when 25 is divided by v? 4 Suppose 4*w - 205 = -3*m, -95 = -2*w - 2*m - m. Calculate the remainder when 109 is divided by w. 54 Suppose -3*a + 136 = 832. What is t...
{ "pile_set_name": "DM Mathematics" }
give t. 1 Express 33*b - 33*b + 8 + 1 - 2*b**2 as l + a*b + r*b**2 and give r. -2 Rearrange -26*r**2 + 5*r**2 - 15*r**2 + (0*r + r - 3*r)*(r - 6*r + 4*r) - 2*r**2 - r**2 + 0*r**2 to n + o*r + b*r**2 and give b. -37 Express -r**3 + 3*r + 12*r - 20*r + 4*r**3 - 3*r**2 as g*r**3 + u*r + n + i*r**2 and give u. -5 Express ...
{ "pile_set_name": "DM Mathematics" }
) Simplify (((y*y**1)/y)**(-37)/((y*y**(-2/13))/y**(-7)))**(2/89) assuming y is positive. y**(-1166/1157) Simplify s**(-1/10)*s**(-7)*(s/s**(3/2)*s)**(-3) assuming s is positive. s**(-43/5) Simplify (p**14*p**(-7/5)/p)**20 assuming p is positive. p**232 Simplify s**(-1/17)*s*s**(-19)*s*((s**(-4)*s)/s)**(-46) assuming s...
{ "pile_set_name": "DM Mathematics" }
5) assuming d is positive. d**(-16/3) Simplify v*v/(v/(v*v**(8/9)*v))*v*v**(1/4)/v assuming v is positive. v**(149/36) Simplify (d**(3/5)*d*d**6)/(d/d**(2/9)*d*d*d**(-2)) assuming d is positive. d**(307/45) Simplify (w/(w*w*w**(2/49)/w*w*w*w)*w)**42 assuming w is positive. w**(-600/7) Simplify (u/(u*u**(3/2)*u))/u**10 ...
{ "pile_set_name": "DM Mathematics" }
ose p(t) = 0. Calculate t. -1, 0, 1, 6 Let q be (5 + -4)/(1/(-18)*-6). Let z(o) be the first derivative of 0*o**q - 4 - 1/18*o**4 + 0*o + 1/9*o**2. Factor z(f). -2*f*(f - 1)*(f + 1)/9 Let v(n) be the first derivative of 4*n**7/315 - n**6/30 + n**4/18 + 5*n**2/2 + 24. Let m(p) be the second derivative of v(p). Factor m(...
{ "pile_set_name": "DM Mathematics" }
0 + q. Round l to 6 decimal places. -0.000036 Let h be (-8)/(-28) + (-60)/14. Let k be (-171599828)/(-22) + h/22. Suppose 0 = -2*j - 4, d = j - 5*j + k. Round d to the nearest one million. 8000000 Suppose 28809828 + 23990163 = 3*q. Let x be 9/(-12) + q/(-4). Round x to the nearest one million. -4000000 Let y = 0.1 - 0....
{ "pile_set_name": "DM Mathematics" }
2. 40 Suppose 3 = 102*k - 101*k, 2*k = 4*g - 42. Let h = 10 + 13. What is the remainder when h is divided by g? 11 Let x(g) = 8*g - 11. Let m(n) = n**3 + 3*n**2 - 3*n - 3. Let w be m(-3). Let f = -1 - -14. Calculate the remainder when x(w) is divided by f. 11 Let z be (-2)/3 + 34/6. Suppose -2*s + 3*j + 20 = 2, z*s - 6...
{ "pile_set_name": "DM Mathematics" }
ultiple of 32? True Let j(n) = -8*n - 12*n + 35*n - 23. Is 14 a factor of j(9)? True Let i = -30 + 650. Is 4 a factor of i? True Let v(s) = 10*s**2 + 2*s + 10. Does 20 divide v(9)? False Let g(v) = -v**2 + 4*v + 2. Suppose -3*p - 4*x - 1 = -6, 3*x = -p. Let a be g(p). Let c(j) = -j**3 + 5*j**2 + 4*j - 3. Is c(a) a mult...
{ "pile_set_name": "DM Mathematics" }
Work out -231 * 1.01. -233.31 What is 15.3 times -6? -91.8 -0.075 * -2 0.15 Calculate -177*-9. 1593 Calculate -0.3*-139. 41.7 What is 16 times 24.3? 388.8 13.15 * -0.5 -6.575 Product of 3 and 323. 969 -0.4*14 -5.6 Work out 193 * 2. 386 Product of 1 and 70. 70 -0.05 times 8 -0.4 Calculate -9*25. -225 568*0.2 113.6 4 tim...
{ "pile_set_name": "DM Mathematics" }
z + 7. Suppose -2*w - 6 = -w. What is the units digit of i(w)? 3 Suppose 5*j = 4*y - y + 3, 3*j - 1 = 2*y. Suppose 12 = 4*k + 2*p + 2, -y*p = -5*k + 6. Suppose k = f + 4*s, 2*s + 2 = -0*s. What is the units digit of f? 6 Let n(a) = -a**3 + 4*a - 1. What is the units digit of n(-7)? 4 Let h(n) = -n**3 - 3*n**2 + 7. Let...
{ "pile_set_name": "DM Mathematics" }
s are there between 10:39 AM and 6:47 PM? 488 How many minutes are there between 8:10 PM and 5:58 AM? 588 How many minutes are there between 7:00 AM and 2:24 PM? 444 What is 480 minutes after 4:19 AM? 12:19 PM How many minutes are there between 5:08 PM and 9:47 PM? 279 How many minutes are there between 12:03 AM and 5:...
{ "pile_set_name": "DM Mathematics" }
prob of sequence ioff. 3/2860 Three letters picked without replacement from huhuuuuuuuuhuhuhuhu. Give prob of sequence hhu. 65/969 Two letters picked without replacement from {s: 10, j: 1, y: 1, b: 2, n: 6}. What is prob of sequence nj? 3/190 Calculate prob of sequence fu when two letters picked without replacement fro...
{ "pile_set_name": "DM Mathematics" }
44*b**2 - 10398*b + 3482 Let p(f) = 5*f. Let d(g) = 30*g. Suppose 3*k - 12 = -0*k. Let o(y) = 9*y - 1. Let h be o(k). Let c(m) = h*p(m) - 6*d(m). Let n(u) = 3*u**2. Determine c(n(t)). -15*t**2 Let g(i) = -14*i. Let w(v) be the second derivative of 3*v**3/2 - 9*v + 1. Give w(g(c)). -126*c Let m(f) = -55*f**2. Let d(u) =...
{ "pile_set_name": "DM Mathematics" }
3/6 + 5*g**2 - 29*g. Let y(m) = -6*m. Give n(y(w)). -252*w**2 - 1 Let s(g) = 25814*g. Let r(z) = -61*z**2. Give s(r(b)). -1574654*b**2 Let i(x) = 94*x. Let j(v) = 27*v + 6. Let n(s) = -285*s - 63. Let f(b) = 42*j(b) + 4*n(b). Determine f(i(a)). -564*a Let n(c) = -201521*c. Let f(p) = -7*p**2. Determine f(n(x)). -284274...
{ "pile_set_name": "DM Mathematics" }
prob of picking 2 d when two letters picked without replacement from ddddddd? 1 Two letters picked without replacement from faqmbifbfqfmma. Give prob of picking 1 b and 1 i. 2/91 Calculate prob of picking 2 r and 2 i when four letters picked without replacement from {r: 8, i: 3}. 14/55 Four letters picked without repla...
{ "pile_set_name": "DM Mathematics" }
? -26 Which is smaller: 2/161 or -9283/4? -9283/4 Which is bigger: 34581 or 34580? 34581 Which is smaller: -432 or 502? -432 Do 134730.4 and 2 have the same value? False Which is smaller: -61886 or -61884? -61886 Which is smaller: -2.3 or 30.38? -2.3 Which is smaller: -88562 or -88568? -88568 Is -1 greater than -134/17...
{ "pile_set_name": "DM Mathematics" }
of z. 3, 5 Suppose 4*o + 4*f - 28 = 0, -3*o = -0*o - 5*f + 19. Suppose o*q - 9 - 11 = 0. What are the prime factors of q? 2, 5 Let b be ((-2)/1)/(8/28). Let v(d) = -2 - 1 + 3 - d - 3. List the prime factors of v(b). 2 Let b be ((-543)/(-6))/((-2)/(-4)). Suppose 0 = 2*q + 4, 2*v + b = 7*v - 3*q. List the prime factors o...
{ "pile_set_name": "DM Mathematics" }
4 Let y(r) = r**2 - 2. Let h be y(0). Let k be (1/h)/(42/36). Let n = 7.4 + -7. Sort n, k, 0.5 in increasing order. k, n, 0.5 Suppose 6 = 9*u - 7*u. Put 5, -4, u in increasing order. -4, u, 5 Let s = 5 - 3. Let j(y) = 2*y**3 - 3*y**2 + 1. Let a be j(s). Sort -5, a, 1. -5, 1, a Let b = 16 - 11. Sort b, -6, 1 in decreasi...
{ "pile_set_name": "DM Mathematics" }
ehg? 16/969 What is prob of sequence rqq when three letters picked without replacement from eeqrreeqqqeqeqqqqq? 5/136 Calculate prob of sequence lll when three letters picked without replacement from kkklkkkkkkkkklklkkkl. 1/285 What is prob of sequence jebw when four letters picked without replacement from {b: 2, e: 2,...
{ "pile_set_name": "DM Mathematics" }
3 - 217*b**2/3 + 249*b - 270 = 0. 2, 5, 9 Factor a**2 + 26*a + 160. (a + 10)*(a + 16) Find b, given that 2*b**4 + 1392*b**3 - 296706*b**2 + 14429536*b - 40656000 = 0. -875, 3, 88 Determine u so that -2*u**5/15 - 272*u**4/15 - 354*u**3/5 - 264*u**2/5 = 0. -132, -3, -1, 0 Factor 4*w**2/3 + 1628*w - 9784/3. 4*(w - 2)*(w +...
{ "pile_set_name": "DM Mathematics" }