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(j) = -68*j + 1698. Give f(25). -2 Let h(v) = -229*v - 9. Calculate h(0). -9 Let g(a) = -2*a**3 + 8*a**2 + 6*a - 20. What is g(4)? 4 Let x(z) = -39*z**2 + 209*z - 8. Give x(5). 62 Let m(x) = 23*x - 2. Determine m(0). -2 Let j(b) = -3*b**2 - 298*b - 149. Give j(-99). -50 Let s(z) = 4*z**2 + 10*z - 43. What is s(-7)? 83 ...
{ "pile_set_name": "DM Mathematics" }
se 0 = 3*v - 5*v. What is the second smallest value in 0.4, x, v? x Let s = 3.75 + -4. Let w = 9.75 - s. Let y = w + -6. What is the smallest value in -0.1, y, 1/3? -0.1 Let u = -7 - -8. Let w be ((-8)/(-30))/(12/10). Which is the second biggest value? (a) -0.1 (b) u (c) w c Let f = 2.9 + -3. Let l = f - 0.9. Let t(...
{ "pile_set_name": "DM Mathematics" }
x(s). Factor w(t). -3*(t + 1)*(9*t - 2) Factor 1/5*m**3 - 9/5*m - 1/5*m**2 + 9/5. (m - 3)*(m - 1)*(m + 3)/5 Factor -84*n - 2*n**2 - 7*n**2 + 588 + 12*n**2. 3*(n - 14)**2 Let o(s) = -8*s - 6. Let t(n) = n**2 - 17*n - 13. Let k = 6 - 8. Let l(d) = k*t(d) + 5*o(d). Let l(c) = 0. Calculate c. -2, -1 Let y be (-5 + 4)*(-3 -...
{ "pile_set_name": "DM Mathematics" }
(c) k a Suppose -2*o = -8 + 10. Let x be 10 - 9 - o/2. Let f be (5 - 1 - 3)*-1. What is the fourth biggest value in -6/7, f, x, 1? f Let w = 1 - 0.6. Let o = 14102.9 - 14103. What is the smallest value in w, -1/2, -3/2, o? -3/2 Let w = 456.477 + -456. Let o = 0.023 + w. What is the second biggest value in 1, o, 1.4? 1...
{ "pile_set_name": "DM Mathematics" }
term of 1688, 1699, 1726, 1775, 1852, 1963, 2114, 2311? n**3 + 2*n**2 - 2*n + 1687 What is the p'th term of -10131, -10132, -10133, -10134? -p - 10130 What is the g'th term of -26288, -52577, -78866, -105155, -131444? -26289*g + 1 What is the c'th term of -4, -5, -6, -7? -c - 3 What is the n'th term of -144, -262, -40...
{ "pile_set_name": "DM Mathematics" }
-1452646 + 4451? -1445165 In base 11, what is -50aa4 - 506? -514aa In base 9, what is 606 - -434? 1141 In base 16, what is 0 - -15648cd? 15648cd In base 12, what is 5 - 108620? -108617 In base 13, what is 21b1166 - 5? 21b1161 In base 5, what is -11210 - -110014234? 110003024 In base 2, what is -1011001100 + -101110101...
{ "pile_set_name": "DM Mathematics" }
+ 4056*b - 12 What is the third derivative of 152*s**6 + 4*s**2 + 16*s wrt s? 18240*s**3 Find the second derivative of 158*b**5 - 233*b wrt b. 3160*b**3 What is the second derivative of d**5 + 2*d**3 + 650*d**2 + 728*d + 1? 20*d**3 + 12*d + 1300 Find the third derivative of -1509*z**5 + 2*z**2 + 30 wrt z. -90540*z**2 W...
{ "pile_set_name": "DM Mathematics" }
-23654.9912112 + 23655. Round x to four dps. 0.0088 Let j = 8.5 - 9.09. Let z = 0.269 - 0.615. Let y = j - z. What is y rounded to 2 decimal places? -0.24 Let n = -0.406 - -184.406. Let q = n + -183.9995. What is q rounded to four dps? 0.0005 Suppose 11*a - 60 = -27. Let z be 10392199961/(-91) - a/(-28)*-4. What is z ...
{ "pile_set_name": "DM Mathematics" }
Calculate v(d). 0 Let w(a) = a**3 + 47*a + 4 + 8*a**2 - 3*a**2 - 101*a + 57*a. Determine w(-5). -11 Let v(j) = -j - 2. Suppose 0 = -5*n + n + f + 18, 4*n = 3*f + 22. Let d be (n - 1/1) + -4 + -2. Determine v(d). 1 Let l(i) be the third derivative of i**5/60 + i**4/12 - i**3/3 + 38*i**2 - 3. Give l(5). 33 Suppose -i - ...
{ "pile_set_name": "DM Mathematics" }
rivative of 2*g**2*l**3 + 74*g**2 + 23*g*l**3 + 55*g*l**2 wrt g? 4*l**3 + 148 What is the first derivative of -12831*s - 12901 wrt s? -12831 What is the third derivative of 2*a**5 + 1969*a**3 + 1833*a**2 - 4*a wrt a? 120*a**2 + 11814 Find the second derivative of 44*f**3*t**2 - 58*f**3*t - 2*f**2*t - 4*f*t**2 wrt t. 88...
{ "pile_set_name": "DM Mathematics" }
r for r. 4 Let m = 26 - -19. Suppose 0 = -3*d + m + 12. Solve 0 = -4*v + z + d, 3*v - 15 = -z - 6 for v. 4 Let q be (-3)/(-2 - (-39)/24). Let m = q - 5. Let v be (-2)/((-5)/(30/4)). Solve -4*a + v*h = -5, m*a + 0*a = -2*h + 8 for a. 2 Suppose 3*m = -2*m + 460. Let d be 2/(-3) + m/3. Solve 2*x = -4*a - d, a - 4 = 3*x + ...
{ "pile_set_name": "DM Mathematics" }
(sqrt(6) + sqrt(48)/sqrt(2)) + -4. -4 + 10*sqrt(3)/3 Simplify ((-2*sqrt(800)*-1)/(6*(sqrt(1210) - 1*sqrt(1210) - sqrt(1210))))**2. 80/1089 Simplify (-5 + (sqrt(3800) + sqrt(3800) + -1*sqrt(3800))/sqrt(2)*-5 + -3)**2. 800*sqrt(19) + 47564 Simplify (4*(4*sqrt(117)*-2)/(1*sqrt(144))*-6)**2. 29952 Simplify (sqrt(275) + ((3...
{ "pile_set_name": "DM Mathematics" }
4 - o wrt o. 24*o**2 Find the third derivative of -44*x**5 + 0*x - 15*x**2 + 33*x**5 + 0*x wrt x. -660*x**2 What is the first derivative of 3 + 20 - 1 - q + 0 + 15*q**2 wrt q? 30*q - 1 What is the third derivative of 14*q**6 - 17*q**2 - 9*q**2 + 12*q**6 - 6*q**6 wrt q? 2400*q**3 Let h(x) be the second derivative of 0*x...
{ "pile_set_name": "DM Mathematics" }
5*s**3/4 + 8666694*s**2 - 3*s. -3*s*(s - 2)*(5777795*s - 2)/4 Factor 4*s**3 - 10276*s**2 + 112232*s + 818560. 4*(s - 2558)*(s - 16)*(s + 5) Find u such that 2*u**4 + 62064*u**3 + 21660672*u**2 + 1900687360*u = 0. -30680, -176, 0 Suppose -3*r**3/8 - 87867*r**2/4 + 87873*r = 0. Calculate r. -58582, 0, 4 Factor -3*z**3/2 ...
{ "pile_set_name": "DM Mathematics" }
209719*v + 279191*v. 365804*v Collect the terms in 6*r - 108*r + 25*r + 29*r + 35*r + 32*r. 19*r Collect the terms in 3 - 4 - 10087*i - 10444*i + 841*i + 3665*i. -16025*i - 1 Collect the terms in 30*b - 9*b - 3*b - 5*b + 12*b - 15*b - 12*b. -2*b Collect the terms in 3 + 1395*c - 1478*c + 33*c - 3 + 52*c + 0. 2*c Collec...
{ "pile_set_name": "DM Mathematics" }
67/15. Which is bigger: 47 or j? 47 Suppose 2791 = -6*n + 2701. Is n < 2/7? True Let h = -162 - -164. Which is smaller: -0.006 or h? -0.006 Let r(l) = l**3 + l**2 + l - 9. Let d be 17/51 + 2/(-6). Let f be r(d). Let o(g) = g**3 + 9*g**2 - 3*g - 6. Let w be o(f). Which is bigger: w or 1? w Let v(y) = -y**3 - 7*y**2 - 9*...
{ "pile_set_name": "DM Mathematics" }
17167429 rounded to 6 decimal places? -0.000017 Round -0.0820153 to two decimal places. -0.08 What is -7.80112 rounded to zero decimal places? -8 What is 90701 rounded to the nearest 10000? 90000 Round 1360630 to the nearest one million. 1000000 Round 0.0002111535 to five decimal places. 0.00021 What is -1068.06663 rou...
{ "pile_set_name": "DM Mathematics" }
, y? y Let w = 28 + -33. Let f = 0.08 - -0.02. What is the third biggest value in -2, f, w? w Let v be (5/(-14343))/((-14)/230699). Let p = -13/2049 + v. Let r = -31/6 + p. What is the smallest value in 1, r, -1/5? -1/5 Let n be 102/14 - 6/21. Let a = n + -10. Let s(y) = -y**2 + y. Let r be s(1). What is the second sma...
{ "pile_set_name": "DM Mathematics" }
r a. -3 Solve 144*c - 145*c + 13 = 2*n, -3*c + 13 = 3*n - 8 for n. 6 Solve 1387*r + 12 = -3*s + 1384*r, 4*s + 3*r + 13 = 0 for s. -1 Solve -5*z - 25 = -5*l, 1133*l = 1130*l + z + 7 for l. 1 Solve -3*c - 14*x - 5 = -13*x, 3*x + 15 = 0 for c. 0 Solve -2*l + 2*i - 43 + 61 = 0, 3*i = -l - 11 for l. 4 Solve v = 5*i + 11 - 2...
{ "pile_set_name": "DM Mathematics" }
e t(y(z)). 15*z**2 Let q(b) = 509*b + 2. Let i(y) = y**2. Give i(q(j)). 259081*j**2 + 2036*j + 4 Let d(r) = -20 + 47 + 7*r - 27. Let x(v) = -v. Determine x(d(u)). -7*u Let o(f) = -3*f**2 - f + 1. Let d(q) = q**2 - q + 1. Let c(n) = d(n) - o(n). Let g(h) be the third derivative of h**4/24 + 2*h**2. What is c(g(k))? 4*k*...
{ "pile_set_name": "DM Mathematics" }
r n + 0*g**3 + 0*g + 9/7*g**4 + 6/7*g**5 - 3/7*g**2. 3*g**2*(g + 1)**2*(2*g - 1)/7 Let v be (-162)/36 - 8 - (8 - 22). Suppose -1/4*n**3 + 1/4*n**4 + 13/4*n - 7/4*n**2 - v = 0. Calculate n. -3, 1, 2 Suppose -12 + 10 = -2*o, 3*w - 3*o = 9. Let d(s) be the third derivative of 0*s + 0 - 1/42*s**7 + 1/12*s**5 + 0*s**6 + 0*s...
{ "pile_set_name": "DM Mathematics" }
45*v(u) - 2*w(u). 5*u**2 Let o(q) = -q. Let t(k) = 18*k**2 + k. Give o(m) + t(m). 18*m**2 Let u(y) = y**2 - y + 1. Let c(h) = -h**2 + 3*h**2 + 3*h**2 - 4*h**2 + 2 - 2*h. What is -3*c(a) + 6*u(a)? 3*a**2 Let f(b) = -b**3 - b**2 - b - 1. Let x(l) = 4*l + 4. Determine -2*f(n) - x(n). 2*n**3 + 2*n**2 - 2*n - 2 Let d(y) = y...
{ "pile_set_name": "DM Mathematics" }
-132)/(-88)*(-24)/(-702)). 13/5 What is the value of ((-6)/16)/((192/72*12/16)/(-1))? 3/16 What is the value of (-2*7*6/5166)/(-5*(-11)/(-330))? 4/41 What is the value of (136/(-24))/(202/(-606))? 17 What is ((-376)/(-564))/((-14)/(-1323))? 63 What is the value of (-42)/49*((-3)/(-6))/((31640/80)/(-113))? 6/49 Evaluate...
{ "pile_set_name": "DM Mathematics" }
02101 In base 14, what is -16b + 2? -169 In base 12, what is -496 - -7? -48b In base 4, what is -2231 + -1? -2232 In base 2, what is -100000011 + 0? -100000011 In base 13, what is 2 - b? -9 In base 13, what is 2346 - 5? 2341 In base 14, what is -1a + b? -d In base 4, what is 212 + -10? 202 In base 14, what is 12 - -266...
{ "pile_set_name": "DM Mathematics" }
13052*v**2/9 + 2432*v/9 - 448/3 = 0 for v. -4, -1/2, 42/181 Suppose -522808225*g**5/3 + 349788770*g**4 + 2083726456*g**3/3 - 4197451792*g**2/3 + 10008592*g - 53792/3 = 0. Calculate g. -2, 82/22865, 2 Factor 2*r**3/9 + 53300*r**2 + 2558272*r/3 + 30698752/9. 2*(r + 8)**2*(r + 239834)/9 Factor -s**2/4 - 1109*s/4 + 85351/...
{ "pile_set_name": "DM Mathematics" }
uppose 0*d - 1/2*d**4 - 1/2*d**o + 0 + d**3 = 0. What is d? 0, 1 Suppose -17 = -4*s - 9. Let a(i) be the first derivative of 5*i**s + 1/2*i**4 + 8/3*i**3 + 2 + 4*i. Find j such that a(j) = 0. -2, -1 Let a(h) = -4*h + 15. Let s be a(3). Determine z so that -7/3*z**2 - 5/3*z - 1/3 - z**s = 0. -1, -1/3 What is c in -c + 3...
{ "pile_set_name": "DM Mathematics" }
ve of o(l) wrt l? -27*l**2 Let b(j) be the first derivative of 0*j + 0*j**3 - 11/2*j**4 - 4*j**2 + 20. What is the second derivative of b(w) wrt w? -132*w Let l(j) be the second derivative of -j**4/2 - 5*j**3/2 + 17*j**2/2 + 20*j. Let b(i) be the first derivative of l(i). Find the first derivative of b(f) wrt f. -12 Le...
{ "pile_set_name": "DM Mathematics" }
ograms? 50 How many millilitres are there in one quarter of a litre? 250 How many minutes are there in twenty-one quarters of a day? 7560 What is 50.35154 kilograms in milligrams? 50351540 How many micrograms are there in 380703.2ng? 380.7032 What is nineteen quarters of a centimeter in micrometers? 47500 What is 42/5 ...
{ "pile_set_name": "DM Mathematics" }
w) to t + h*w and give h. -12 Express 122*y - 290*y - 5 + 102*y + 5 - 5*y**2 + 2*y**3 as k + c*y**2 + f*y + s*y**3 and give s. 2 Rearrange (42*y + 15*y**2 - 42*y)*(8 + 7 - 4) + (0 + 2 - 3)*(-2 - 2*y**2 + 2) + 0 + 2*y**2 + 0 to the form c + t*y + u*y**2 and give u. 169 Express -4*p + 6*p - 19*p + 79 + 15*p in the form w...
{ "pile_set_name": "DM Mathematics" }
i**2 - 12*i Find the second derivative of -g**3 - 147*g**2 + 5*g + 14 wrt g. -6*g - 294 Differentiate j**4 + 183*j**2*x**2 - 6612*x**2 wrt j. 4*j**3 + 366*j*x**2 What is the second derivative of d**3*k**2 - 4446*d**2*k**2 - 5*d*k**2 - d*k - 171*d wrt d? 6*d*k**2 - 8892*k**2 Differentiate 5*o**2*v**2 + 8*o**2*v + 4*o*v*...
{ "pile_set_name": "DM Mathematics" }
r when k is divided by 5. 3 Suppose -n + 2*m - 11 = -4*n, -m = 2*n - 6. Calculate the remainder when 24 is divided by (n - 2) + -1 + 15. 11 Let b(z) = -z**3 + 19*z**2 + 19*z + 27. What is the remainder when 12 is divided by b(20)? 5 Let b(m) = m**2 - 8*m - 6. Let x be b(8). Let v = x - -14. Calculate the remainder when...
{ "pile_set_name": "DM Mathematics" }
e r(c). 17 Let p(j) be the first derivative of 2*j**3/3 + 7*j**2/2 - 13*j + 6384. What is p(3)? 26 Let j(v) = 22118 - 14*v**2 - v**3 + 22062 - 44260 - 30*v. What is j(-12)? -8 Suppose -4*r = -5*q - 4, 4*r = -q - 4*q + 4. Suppose -s - 2*m + r = 4, 5*m = -20. Let a(c) = -c**2 + 2*c + 2. Determine a(s). -13 Let h(d) = 64*...
{ "pile_set_name": "DM Mathematics" }
cond derivative of -n**5/20 - n**4/2 - 7*n**3/6 - 2*n + 21. Let s be m(-5). Solve 2*h = -3*h + s for h. 2 Let o be (-192)/(-704)*(1828 - -9). Solve 30 = 491*u - o*u for u. -3 Let d be (-2 - (4 - 6)) + (-6 - -17). Solve -d*p = -45 + 56 for p. -1 Let s be 21/(-35) + (-43)/(-5). Suppose -37 = -3*d - 2*p, -p + 4*p - 23 = -...
{ "pile_set_name": "DM Mathematics" }
in 24151.22ml? 24.15122 What is 5865.162 centuries in millennia? 586.5162 How many litres are there in 99.69276ml? 0.09969276 How many millilitres are there in one quarter of a litre? 250 How many minutes are there in 8/3 of a week? 26880 How many nanometers are there in 8629.38 centimeters? 86293800000 What is 86.607...
{ "pile_set_name": "DM Mathematics" }
Is d a prime number? True Suppose 236*a = -405658546 + 1331143638. Is a prime? False Let c = 178311 - 122950. Suppose 5*u + 4*t - 3272 = c, 0 = -5*u - t + 58642. Is u a prime number? False Let q be (5 - (-69)/(-15)) + 2582/(-5). Let g = q + 10815. Is g a prime number? False Let a(o) = o**2 + 12*o + 35. Let q be a(-4). ...
{ "pile_set_name": "DM Mathematics" }
ighest common divisor of 420518546 and 5034. 1678 Calculate the highest common divisor of 2790 and 2776608. 558 Calculate the highest common divisor of 194196642 and 6. 6 Calculate the greatest common divisor of 121304 and 366744. 472 Calculate the greatest common divisor of 3926 and 350896. 26 What is the highest comm...
{ "pile_set_name": "DM Mathematics" }
8? 32316776151.4 -75 - 33511.72588981 -33586.72588981 9.485606 + 6.43 15.915606 What is -0.09 less than -41424190288953? -41424190288952.91 Work out 558.8 - 119570558. -119569999.2 -0.5 + -1143588.29354887 -1143588.79354887 1668.5 + 4796743060 4796744728.5 Add 2754834840133 and -32. 2754834840101 Work out -163941 - 113...
{ "pile_set_name": "DM Mathematics" }
r**2/2 + 4*r - 2. Let s be l(-5). Solve -1/2*h**s + 0 - 1/2*h + 1/2*h**3 + 1/2*h**2 = 0 for h. -1, 0, 1 Let n = 14 - 14. Let r be n*(-2)/2*1. Find j such that -4/3*j**2 + r - 2/3*j - 2/3*j**3 = 0. -1, 0 Let a(p) be the second derivative of p**7/105 - p**6/25 + 3*p**5/50 - p**4/30 + 38*p. Factor a(k). 2*k**2*(k - 1)**3/...
{ "pile_set_name": "DM Mathematics" }
the power of 1/3, to the nearest integer? 534 What is the square root of 752054823 to the nearest integer? 27424 What is the third root of 908709721 to the nearest integer? 969 What is 210707392 to the power of 1/2, to the nearest integer? 14516 What is the seventh root of 5481414688 to the nearest integer? 25 What is ...
{ "pile_set_name": "DM Mathematics" }
or m. 2 Let s = 3 - 0. Suppose s*i - 4 = 8. Suppose 2*p + i*x = 6*x + 20, 5*p + x - 80 = 0. Solve 5*a - 7 = 2*y + 2*y, p = -5*y for a. -1 Let v = -43 + 45. Solve -2*d = 2*a + v, 0*d + 3*d - 2 = -2*a for a. -5 Let l(g) be the third derivative of g**5/15 + 5*g**4/24 + g**3/6 - 4*g**2. Let y be l(-2). Solve 0 = 5*z + 5*p ...
{ "pile_set_name": "DM Mathematics" }
2)? 3 Let m = 1573 + 4617. What are the prime factors of m? 2, 5, 619 Suppose 0*q - 10 = -5*q. Suppose 32*k - 57 = 39 + 192. Suppose 924 = q*j + k*j. List the prime factors of j. 2, 3, 7 Let b = -917 + 12. Let h = 1715 + b. List the prime factors of h. 2, 3, 5 Let o(v) = v**2 + 15*v + 36. Let c be o(-11). What are the ...
{ "pile_set_name": "DM Mathematics" }
98. Is 20 a factor of g? False Let r(z) = 3*z**2 + 2*z - 3. Let x be r(-3). Is (-24)/5*(-60)/x even? True Let n be 3*(-4 - -9 - 7). Let t(i) = i**3 + 9*i**2 - 2*i - 10. Does 10 divide t(n)? True Let l = 68 + -64. Suppose 3*x - 576 = -l*s - 119, 5*x + 2*s = 757. Is 9 a factor of x? False Suppose 1080 = 5*c - 750. Suppos...
{ "pile_set_name": "DM Mathematics" }
/3 (c) m c Let y = 0.3 - 0.8. Let g = 76183 - 76186. What is the closest to 2 in y, g, 5? y Let r = 4.4 + -0.4. Let g = 0.06 + -0.36. Let t = 8 - 9. What is the nearest to t in r, 0.3, g? g Let n = 4.674619 - -0.325381. Suppose 20 = 2*z + 3*z. Let i be -5*2*(-1)/z. What is the closest to -1 in -1, n, i? -1 Let b be ((...
{ "pile_set_name": "DM Mathematics" }
or 117*j**2 - 26*j**5 + 30*j**5 + 116*j**2 + 91*j**c + 76*j**4 + 396*j**3. 4*j**2*(j + 1)*(j + 9)**2 Let m(g) = -g**5 + g**4 + g. Let w(n) = -n**5 + n**4 - 5*n**3 - 3*n**2 + 2*n. Let o(x) = -x - 6. Let b be o(-7). Let z(t) = b*w(t) - 2*m(t). Factor z(s). s**2*(s - 3)*(s + 1)**2 Let p = -119/66 - -3/22. Let g = -4/3 - p...
{ "pile_set_name": "DM Mathematics" }
= 2*j**3 + 6*j**2 - 732. Calculate -6*h(q) + 5*x(q). -2*q**3 + 720 Let n(w) = -9*w**3 - 7*w**2 - 3*w - 1. Let d(f) = 8*f**3 + 5*f**2 + 3*f. Determine 4*d(k) + 3*n(k). 5*k**3 - k**2 + 3*k - 3 Let c(b) = 2*b**2 + 8*b - 2. Let g(f) = -f. Let t(i) = 2*c(i) + 14*g(i). Let u(r) = -5*r**2 - 2*r + 5. Suppose -37*w + 28*w = 27....
{ "pile_set_name": "DM Mathematics" }
0.06, -0.101 Sort -8, 11, 3, 1 in increasing order. -8, 1, 3, 11 Sort -5, 2, 0, 1. -5, 0, 1, 2 Put -2, -3, 2, 13, 0 in descending order. 13, 2, 0, -2, -3 Put 62, 42, 1 in increasing order. 1, 42, 62 Sort -0.3, -2, -18/7 in descending order. -0.3, -2, -18/7 Put -7, 5, -43, -3 in decreasing order. 5, -3, -7, -43 Put 1, -...
{ "pile_set_name": "DM Mathematics" }
42.2 + -1342. Which is the second smallest value? (a) t (b) -4/3 (c) 0.4 (d) 0.1 d Let h be ((-108)/20 + 5)/(6/10). Which is the biggest value? (a) h (b) 0.4 (c) -5 (d) -0.06 b Let m = 0.3056 + -0.9056. Let i = -38/7 + 145/28. Which is the third smallest value? (a) m (b) i (c) -0.2 c Let o be ((-6138)/(-54))...
{ "pile_set_name": "DM Mathematics" }
and 6:48 PM? 647 How many minutes are there between 7:47 PM and 2:57 AM? 430 How many minutes are there between 4:53 AM and 4:08 PM? 675 How many minutes are there between 8:07 PM and 7:19 AM? 672 What is 655 minutes after 7:27 AM? 6:22 PM How many minutes are there between 3:54 PM and 12:05 AM? 491 What is 253 minute...
{ "pile_set_name": "DM Mathematics" }
c + k*y + w*y**3 + u*y**2 and give w. 7220 Rearrange (44*h + 9*h + 92*h + 46*h)*(17 + 4 - 79) to the form i*h + f and give i. -11078 Rearrange (-2 + 0 - 2)*(-1387*x - 1 - 1392*x + 2766*x) to j + q*x and give q. 52 Express (-4 + 4 - 1)*(21883 + 62135 - 4787 - 13914)*(t**3 - 5*t**3 + t**3) as i*t + u*t**2 + r*t**3 + l a...
{ "pile_set_name": "DM Mathematics" }
is bigger: 0 or l? l Let z be 60*((-30)/18)/(-5). Which is smaller: z or 27? z Let f be 1*(-4 + 3 + 2). Let c be ((-3026)/(-62664))/(f/(-2)). Let q = -1/746 - c. Is q less than -1? False Let u = 29/7 + -9/14. Suppose -2*n - 14 = -5*y, 2*y - 6*y = -16. Which is smaller: u or n? n Let m be (-32)/(-56) + (-2580)/595. Is -...
{ "pile_set_name": "DM Mathematics" }
mplify ((h*h**(2/5)*h)**(-2)/((h/h**(-1))/(h/(h**(-6)/h))))/(h**(-3/4)*h*h**(1/2)/h)**(2/9) assuming h is positive. h**(113/90) Simplify ((d*d**9)/d*d/d**(-2/11)*(d**0)**(2/37))**5 assuming d is positive. d**(560/11) Simplify (f/(f/(f/(f*f*f**(-7)*f))))/f**7*f**(-8)*f**(1/3)*(f*f*f**(1/2)*f**(-1/3)/f*f)/((f**(-2/3)/f)/...
{ "pile_set_name": "DM Mathematics" }
- 81432 Find the second derivative of 29929352*n**2 - 18329052*n wrt n. 59858704 What is the second derivative of -14920*x**4 + 29*x**3 + 208863*x + 19 wrt x? -179040*x**2 + 174*x Find the second derivative of -6*f**2*n**2*x + 20*f**2*n**2 + 18*f**2*n*x - 3*f**2 + 22*f*n*x + f*n + 13*f*x + 683*n**2 wrt n. -12*f**2*x + ...
{ "pile_set_name": "DM Mathematics" }
10 = 0, -4*c = 4*j - 32. Solve -2*q = -q + c for q. -4 Let j = 1953 + -1931. Solve 6*x - j*x + 48 = 0 for x. 3 Suppose 4*c + 22 = 5*f + 3, f - 4*c = 7. Solve 5 - 2 = f*w for w. 1 Let v be (20/(1 - -1))/(-1). Let i(a) be the third derivative of a**6/120 + 3*a**5/20 - 5*a**4/12 + 2*a**3/3 + 5*a**2. Let c be i(v). Solve s...
{ "pile_set_name": "DM Mathematics" }
? True Let m = -2107 + 1294. Let u = 375 + m. Is 14 a factor of 6/(-9) - u/9? False Suppose 5903 = 8*p - 625. Does 12 divide p? True Let r be (932/(-16))/((-3)/12). Suppose -29 = 4*z - r. Is z a multiple of 17? True Suppose -12*g + 7861 = -5*g. Is 19 a factor of g? False Let k = 28 + -28. Suppose 0*h = 5*h - 360. Suppo...
{ "pile_set_name": "DM Mathematics" }
). Solve -s + f = 5*f, 19 = 4*s - r*f for s. 4 Let h(c) = 2*c**2 - 2*c. Suppose 3*q = -0*q + 6. Let y be h(q). Suppose -y = -4*u + 12. Solve 15 = 3*r - 5*m, -r + u*m + 5 = -m for r. 5 Suppose 3*m + 5*h - 27 = 0, 2*m + 3 = 5*h - 4. Solve -m*j = -4*f + 8, 1 - 2 = -j + 2*f for j. -5 Suppose 5*n - 115 = -0*n. Suppose 3*l +...
{ "pile_set_name": "DM Mathematics" }
+ 1. Sort 2, m, 0.05 in descending order. 2, m, 0.05 Let q(i) be the third derivative of -i**6/40 + i**5/60 - i**4/24 + 2*i**2. Let z be q(1). Let o = -0.4 - -5.4. Sort -2, o, z in descending order. o, -2, z Let h = -4.08 - -0.08. Sort h, -0.5, 2/3 in descending order. 2/3, -0.5, h Let a = -0.18 - -0.12. Let y = -2.04 ...
{ "pile_set_name": "DM Mathematics" }
0*s for s. 0 Solve -10*c = -17 - 3 for c. 2 Solve -9*b = -13*b - 4 for b. -1 Solve 4*g - 6*g - 10 = 0 for g. -5 Solve -483 = -83*q + 14*q for q. 7 Solve 20*f = -41 + 1 for f. -2 Solve y = 30 - 29 for y. 1 Solve -308*x + 306*x + 12 = 0 for x. 6 Solve 90*b - 56 = 76*b for b. 4 Solve -83 = -17*p - 32 for p. 3 Solve 0 = -...
{ "pile_set_name": "DM Mathematics" }
(12)/sqrt(3))). 30*sqrt(7) Simplify -5 + (((5*(3 + sqrt(847)) + 5)*-5)**2 + -1)*-6. -3236249 - 330000*sqrt(7) Simplify ((-1*(sqrt(475) + -3 + sqrt(475)) + sqrt(475))*1 + (sqrt(19) + (sqrt(76)*4 - sqrt(76)) - ((sqrt(19) - sqrt(1539)) + -2)))**2. 100*sqrt(19) + 1925 Simplify 4 + (((sqrt(85) + sqrt(85) + -2*sqrt(85)*4 + s...
{ "pile_set_name": "DM Mathematics" }
*k/9 - 112/3. 2*(k - 12)*(k + 14)/9 Factor 4*u**3 + 60*u**2 + 48*u - 112. 4*(u - 1)*(u + 2)*(u + 14) Let -3*v**5/4 + 45*v**4/4 - 60*v**3 + 150*v**2 - 180*v + 84 = 0. What is v? 2, 7 Suppose -6*z**5 + 5259*z**4 - 1158936*z**3 + 2875026*z**2 - 2294250*z + 572907 = 0. What is z? 1/2, 1, 437 Determine k, given that -2*k**3...
{ "pile_set_name": "DM Mathematics" }
- 12*s**2 - 2*s**3 - 9*s. Let t be j(-11). Does 3 divide 4*-1*t/6? True Suppose -16 = -4*s - 4*x, -11 = -5*s - 3*x + 9. Suppose -2*r - 32 = -4*l - 5*r, s*l + 5*r - 40 = 0. Is l even? False Let p(q) = -q**3 + 17*q**2 - q + 23. Let c be p(17). Let j(b) be the second derivative of b**5/20 - 5*b**4/12 + b**3/3 - 4*b**2 + ...
{ "pile_set_name": "DM Mathematics" }
r of 1/2, to the nearest integer? 263 What is the seventh root of 505 to the nearest integer? 2 What is 14694 to the power of 1/8, to the nearest integer? 3 What is the seventh root of 201986 to the nearest integer? 6 What is 27108 to the power of 1/2, to the nearest integer? 165 What is 3125 to the power of 1/3, to th...
{ "pile_set_name": "DM Mathematics" }
actor of c? True Let q be (-1)/1 - (2 - -6). Let b(u) be the first derivative of -6*u**2 - 6*u + 83. Is 17 a factor of b(q)? True Let i be (-10)/25 + (-5342)/(-5) + -3. Suppose -2*p + 441 = x, 2*p - 7*p = -5*x - i. Suppose 3*d - 5*k - p = 0, -5*d = -0*k - k - 356. Does 6 divide d? False Suppose -13*u = -40 - 7240. Let ...
{ "pile_set_name": "DM Mathematics" }
- 14 for n. -2 Solve -1763 + 1895 = -12*w for w. -11 Solve 12*j + 66 = 34*j for j. 3 Solve 6*v = 8*v + 2 for v. -1 Solve 8*d = 3 + 37 for d. 5 Solve -184*m - 12 = -181*m for m. -4 Solve -462 = -44*i + 121*i for i. -6 Solve 3*k = -5*k - 40 for k. -5 Solve -51 = -5*t - 41 for t. 2 Solve 3*r = 10*r + 35 for r. -5 Solve -5...
{ "pile_set_name": "DM Mathematics" }
= v**3 + 20*v**2 - v - 20. Let z be d(-20). Suppose z = -5*w + 71 + 179. Is w smaller than 51? True Let k = 5 + -6. Let v = -1096 + 208. Let d be 96/v*1/2. Is k greater than or equal to d? False Let k = 37 + -183/5. Let o = 0 + 6. Let h(u) = u**2 - 6*u - 1. Let p be h(o). Which is bigger: k or p? k Let b = -23 + 209/9...
{ "pile_set_name": "DM Mathematics" }
6 Calculate the highest common factor of 45 and 657. 9 Calculate the highest common factor of 30328 and 34. 34 Calculate the highest common divisor of 1022 and 14. 14 Calculate the greatest common factor of 35 and 2065. 35 What is the greatest common divisor of 138 and 1863? 69 What is the highest common factor of 150 ...
{ "pile_set_name": "DM Mathematics" }
*q - 4*k. Is 884/24 + q/(-18) a multiple of 12? False Suppose t = 5*w - w - 17, 3*w = -2*t + 10. Suppose -w*g = g - 30. Is 5 a factor of g? False Suppose 3*s - 21 = 3. Let c = -2 + s. Does 6 divide c? True Let o = 5 + -2. Suppose 220 = o*m + 2*m. Is 22 a factor of m? True Let w(g) = -g**3 + 8*g**2 - g - 3. Suppose -2*n...
{ "pile_set_name": "DM Mathematics" }
Evaluate ((-75)/(-7))/(31*90/13020). 50 Calculate ((-543)/724)/(((-104625)/120)/(-25)). -2/93 Evaluate ((-1484)/2597)/(12/(-399)). 19 What is ((-4160)/1120)/(((-80)/(-10))/56)? -26 What is the value of (22/605)/(28/((-2100)/45))? -2/33 (-3)/1*(-7)/(-21)*5/(-510)*8 4/51 Evaluate (-9)/(-19*(-330)/(-102410)). 147 76284/13...
{ "pile_set_name": "DM Mathematics" }
z**3 + 5*z**2 + 2*z + 21. Let l be v(-5). Solve l*x - 36 = -3 for x. 3 Let k = -17 - -8. Let g = k - -18. Let x be (8/(-18))/((-2)/g). Solve -3*v - x*v = -20 for v. 4 Let u(j) = -2*j + 42. Let s be u(-13). Solve -14*v + s = 20*v for v. 2 Suppose 0 = -4*a + 21 + 3. Let n(y) be the second derivative of -y**3/6 + 9*y**2/2...
{ "pile_set_name": "DM Mathematics" }
-20)/v). Which is smaller: i or -10? i Let m(s) = 15*s**2 - 827*s + 57. Let t be m(55). Which is smaller: -31 or t? t Let v = 16744 + -16734.31. Which is bigger: v or 2/19? v Let x(n) = -38*n**3 - 2*n**2 + 3*n - 1. Let w be x(1). Let r = 38 + w. Let l be 0 - (-1 + r - -1 - 2). Do l and 2 have the same value? True Let n...
{ "pile_set_name": "DM Mathematics" }
313)/(-117) - 11)*105. 6 Let x = 47937/4460 + 2/1115. Suppose 0 = 3*f + 3*j + 4758, -6340 = 4*f - 0*f + 3*j. Let g = f - -4676/3. Calculate the common denominator of g and x. 12 Let t = -2/7423 - 37083/118768. What is the common denominator of -59/362 and t? 2896 Let k = 3676 + -3666. What is the least common multiple ...
{ "pile_set_name": "DM Mathematics" }
17) Simplify -5*(1 + sqrt(7)) + sqrt(49)/sqrt(112) + sqrt(7) - 2*(sqrt(7) + -3)*5. -55*sqrt(7)/4 + 25 Simplify ((-5*(sqrt(128) - (sqrt(128) + 3)))**2 + (sqrt(128) - -6*-2*sqrt(128)) + -5)*-2. -440 + 176*sqrt(2) Simplify (-3 + sqrt(1088) + 1 + 0 - (-2*(0 + sqrt(1088)) - sqrt(1088) - (0 + -1 + sqrt(1088))))**2 + -1. -240...
{ "pile_set_name": "DM Mathematics" }
(a) 1/13 (b) -21.1 (c) -0.3 (d) 0.06 (e) 2/97 b Which is the second biggest value? (a) -2 (b) 206 (c) 2/3667 (d) -5 c Which is the smallest value? (a) -1 (b) 179 (c) 1/27 (d) -130 (e) -0.4 d What is the smallest value in -201, 3/5, 117/82? -201 What is the fifth smallest value in 5, -2/17, -13, -6/11, -2.8...
{ "pile_set_name": "DM Mathematics" }
p) be the first derivative of p**7/525 + p**6/150 + p**5/150 + p**2/2 - 2. Let y(q) be the second derivative of r(q). Let y(v) = 0. Calculate v. -1, 0 Let c(s) be the third derivative of 4/3*s**3 + 0 - 1/2*s**4 - s**2 + 1/15*s**5 + 0*s. Factor c(h). 4*(h - 2)*(h - 1) Let a = -5/13 + 77/65. Solve 4/5 + 1/5*c**2 - a*c = ...
{ "pile_set_name": "DM Mathematics" }
49*m = 23*m + 13081345. Is m prime? True Let p be -13 - (10 + -20) - (1 - 6982). Suppose -2*j - p = -2*l, 3*l + j = -3*j + 10481. Is l a prime number? True Suppose 0 = -2*b - 6, -15*o + 3*b = -17*o + 911393. Is o a composite number? False Let k(g) = -g**3 - 36*g**2 - 7*g + 53. Let x be (-3 + -2 - -2)/(6/72). Is k(x) co...
{ "pile_set_name": "DM Mathematics" }
2). Solve 20 - 8 = -b*t for t. -4 Let d(h) = h**3 - 7*h**2 + 5*h + 8. Let m be d(6). Suppose 4*k - 268 = -4*o, 2*k - m*o - 122 = -0*k. Let n = 66 - k. Solve j = 2*j + n for j. -2 Let f = -19477 - -19502. Solve -8*z - 136 = -f*z for z. 8 Let f(x) = -3*x + 34. Let d be f(8). Suppose 0 = 5*n + d + 10. Let y be -2 - (-8)/2...
{ "pile_set_name": "DM Mathematics" }
implify ((i**(2/7))**(-1/3)*i**(-1/4)*i**(-6))**48 assuming i is positive. i**(-2132/7) Simplify w**(1/8)*(w*w**(-22)*w)/w*(w**(5/3))**(-22/5) assuming w is positive. w**(-677/24) Simplify (n*n*n/n**8)/(((n*n**(5/2))/n)/n)*(n**(9/4)/n)/n**(-11) assuming n is positive. n**(23/4) Simplify ((y**(-17)*y)**(1/68))**(11/6) a...
{ "pile_set_name": "DM Mathematics" }
Is 16 a factor of c? False Suppose 24*f + 10*f - 3672 = 0. Is f a multiple of 2? True Let n(q) = 2*q**2 - 14*q - 5. Let d be n(-11). Let t = d + -230. Does 23 divide t? True Suppose 0 = -f - 4*k + 2365, -k - 21 + 16 = 0. Is f a multiple of 53? True Suppose 0 = -2*r - 4, 4*x - 1 + 13 = -2*r. Let h be x/10 - 296/(-5). Su...
{ "pile_set_name": "DM Mathematics" }
r? False Is 765479863 composite? False Is 234369761 a prime number? False Is 479121037 a composite number? True Is 7719895151 prime? True Is 2492224733 composite? True Is 1026687521 a prime number? True Is 141134111 a composite number? True Is 143760977 composite? True Is 8037527423 a prime number? True Is 7654494227 a...
{ "pile_set_name": "DM Mathematics" }
. -4*(b - 4488)*(b - 17)*(b - 8) Factor 3*c**2 + 704955*c - 185610672. 3*(c - 263)*(c + 235248) Suppose -4*h**2/3 + 4583560*h/3 = 0. Calculate h. 0, 1145890 Factor 3*d**2 - 363473460*d + 11009413010364300. 3*(d - 60578910)**2 Find q such that -18*q**5 + 17971174*q**4 - 89855756*q**3/9 - 63897464*q**2/9 - 7987184*q/9 = ...
{ "pile_set_name": "DM Mathematics" }
-3 - (-1 + 1)) + -10? -17 What is the value of -9 + (18 - 4) + 2 + (-16 - 1)? -10 Calculate 4 + 10 + -5 - (-7 + 10 + 11). -5 12 + -31 + 2 + 7 -10 -20 + 13 - (-13 - 0) 6 -6 - 1 - (2 - -8 - 8 - -2) -11 Evaluate -37 + -22 + 30 - 3. -32 -30 - (47 + -24 + 0 + -19) -34 17 + (2 - 35) + 36 20 What is -3 + 2 + (-13 - (4 - 10))?...
{ "pile_set_name": "DM Mathematics" }
) Simplify ((r**0)**(-9)/(r**(-2/3))**(-2/23))/(r**5/r**(-3/7)*r*r**(-2/3)*(r*r**(-2/3))/r) assuming r is positive. r**(-2489/483) Simplify ((w*w*w**(-2/7))**(7/5)*(w**5)**(2/11))**(3/13) assuming w is positive. w**(42/55) Simplify (h*h/h**(-2/5))**30/(h*h**1)**37*(h/h**4*h/(h*h**6))**(4/5) assuming h is positive. h**(...
{ "pile_set_name": "DM Mathematics" }
+ 11*m**2. -3*(m + 1)*(m + 18) Let q(y) = 2*y**2 + 4*y + 1. Let r(s) = -105*s**2 - 147*s - 27. Let z(u) = -15*q(u) - r(u). Factor z(a). 3*(a + 1)*(25*a + 4) Let t(o) be the third derivative of 0*o**3 - 1/560*o**7 + 0*o + 13*o**2 + 0*o**4 - 1/896*o**8 + 0 + 1/160*o**6 + 0*o**5. Factor t(p). -3*p**3*(p - 1)*(p + 2)/8 Sup...
{ "pile_set_name": "DM Mathematics" }
232. Is c <= t? False Suppose v = -4*m + 36, -5*v + 290 = 6*m - 8*m. Suppose -2*b = -3*g + 42, -g - 3*g - 3*b = -v. Do g and 18 have the same value? False Suppose 0 = -177*o + 175*o + p - 24, -4*p = 5*o + 34. Let k = 8 - 26. Which is bigger: o or k? o Let g be (-12 - -1)/(12/(-48)). Let n = 40 - g. Let y be (-136)/6 + ...
{ "pile_set_name": "DM Mathematics" }
be (3/(-3) - -1)/(2 + 0). Sort 2, p, -1 in increasing order. -1, p, 2 Let y = 2 + -2. Let l = 1 - y. Sort 5, -5, l in decreasing order. 5, l, -5 Let b = 1954/9 + -217. Let y = 6/53 + 129/265. Sort b, y, 0.4 in decreasing order. y, 0.4, b Let q(s) = s + 5. Suppose 2*x - 16 = 2*n, -2*n + n + 5*x - 12 = 0. Let a be q(n)....
{ "pile_set_name": "DM Mathematics" }
rt h. -109640592*h**2 Differentiate -3*f*h*s**2 - 532*f*h + 159694*f*s**2 + 27*f - 3082*h*s**2 with respect to h. -3*f*s**2 - 532*f - 3082*s**2 Differentiate 2*v**3 - 922031*v**2 - 31752133 with respect to v. 6*v**2 - 1844062*v Find the first derivative of 2*g*p*x - 28*g*x - 339196*g - 2*p**2*x - 6218237*p**2 wrt p. 2*...
{ "pile_set_name": "DM Mathematics" }
= 28 + -2. Let u be (12 + -7)*1/1. Suppose 3 = -5*j - 2*l - u, 3*j - 20 = 5*l. Solve j = 2*f + s + 15, -s - 6 = -5*f - g for f. -5 Suppose 4*c + 4*r = -6 + 54, -3*c + 32 = r. Solve 2*s = -4*f - c, 7*s = 6*s + 5*f + 23 for s. 3 Let r be 3 + -74*1/1. Let o = r - -74. Suppose 0 = o*s - 17 + 8. Solve 2*g - i - 3 = -0*g, -1...
{ "pile_set_name": "DM Mathematics" }
ighest common divisor of 193007 and 1419154. 257 Calculate the greatest common divisor of 252 and 27886068. 252 What is the greatest common factor of 3275 and 69583925? 3275 Calculate the highest common divisor of 821860 and 60385. 65 What is the greatest common divisor of 350 and 153629? 7 What is the highest common f...
{ "pile_set_name": "DM Mathematics" }
positive. p**(11/30) Simplify x*x**(2/7)*x/(x**(2/27)/x)*(x*x**(1/3))**(-24) assuming x is positive. x**(-5441/189) Simplify (b**(4/13)/b*b*(b*b**(-5))/b)**(-33) assuming b is positive. b**(2013/13) Simplify o**(-3/2)*o*o**7*o**(-1)/(((o*o/(o**0*o))/o)/o) assuming o is positive. o**(13/2) Simplify (p*p/(p**(-1/4)*p)*p)...
{ "pile_set_name": "DM Mathematics" }
-22. Suppose 0 = 5*g - 2*z + q + 3, 3*g = 2*z - 10. Which is greater: 2 or g? 2 Let l = 5173/11 + -470. Suppose -4*u - 6 = -2. Which is greater: l or u? l Let d be 921/(-165) + 6 - 6/10. Let a = -100 - -82.8. Let t = a - -17. Do t and d have different values? True Suppose 3*s + 16 = -s. Let r be (s/10)/((-1)/5). Let u...
{ "pile_set_name": "DM Mathematics" }
+ 5 + 0. Give x(q(m)). -3*m**4 Let q(i) = -3*i. Let l(z) = 38*z + 2. Determine q(l(h)). -114*h - 6 Let a(c) = -3601*c**2. Let l(r) = r. Calculate a(l(i)). -3601*i**2 Let g(k) = k. Let p(u) be the first derivative of -14*u**3/3 + 2. What is p(g(l))? -14*l**2 Let v(d) = 4*d**2. Let y(k) = 1558*k**2. Determine v(y(f)). 9...
{ "pile_set_name": "DM Mathematics" }
124. Suppose -5*g = -10, 2*g + 50 = -2*o + 112. Let r be z(o). Suppose -3*f = -100 - 8. Is r at most as big as f? False Suppose 0 = 7*b - b - 96. Let h(n) = b*n**2 - 30*n**2 + 15*n**2 + 1 - 4*n. Let m be h(6). Which is smaller: m or -1/3? -1/3 Let d be ((-46)/6)/(2/6). Let x = -111 + 328. Let y = -242 + x. Is d < y? Fa...
{ "pile_set_name": "DM Mathematics" }
in nanometers? 27500 How many centimeters are there in one twentieth of a kilometer? 5000 How many millimeters are there in 21/5 of a centimeter? 42 What is 1/9 of a hour in seconds? 400 What is 69110.85 decades in months? 8293302 How many litres are there in 380.015 millilitres? 0.380015 How many millimeters are ther...
{ "pile_set_name": "DM Mathematics" }
cimal places. 0.06 What is 114765557.6 rounded to the nearest 10000? 114770000 Round -0.52773103 to two decimal places. -0.53 What is -0.0000369417508 rounded to five decimal places? -0.00004 What is -712999.049 rounded to the nearest 1000? -713000 Round -103801.1302 to the nearest one thousand. -104000 What is -177506...
{ "pile_set_name": "DM Mathematics" }
+ 8. Let s(r) = -7*m(r) + 6*t(r). Let q be s(-8). Suppose 4*j = 0, -2*g - 3*g + 10 = -5*j. Solve -g*b + 2 + 0 = q for b. 1 Let g(b) = 0*b**2 - 2 - 3*b + 4*b**2 + 5 - 3*b**2. Let k be g(2). Let w be (-4 + 2/k)*-1. Solve -10 = -3*t - w*t for t. 2 Let u(z) = 3*z + 21. Let a be u(-6). Solve 0 = -a*n - 13 - 2 for n. -5 Sup...
{ "pile_set_name": "DM Mathematics" }
ator of x and -39/11. 77 Suppose -7*b + 2*b + 5 = 0, -2*m + 5*b + 35 = 0. What is the smallest common multiple of 18 and m? 180 Suppose 2*c - 4*p = 17796, -3*p = -c + 3*c - 17775. Let m = c + -159931/18. Calculate the common denominator of 83/22 and m. 198 Calculate the common denominator of ((-7)/(-20))/((-2)/45) and ...
{ "pile_set_name": "DM Mathematics" }
6 = v. Let j be b(v). Solve -12 = 3*n, -2*n + 5 = -j*a - 7*n for a. 3 Let y(h) = h**3 + 22*h**2 + 20*h - 18. Let g be y(-21). Solve 0 = -g*c + m - 15, 13 = -c - 0*m + 3*m for c. -4 Suppose 3*n - 2*n = -3. Let a = n - -7. Suppose -a*l + 0 = -8. Solve -q - 7 = 2*s - l, 14 = s - 5*q for s. -1 Let i(b) = -b**3 + 2*b**2 + 7...
{ "pile_set_name": "DM Mathematics" }
What is 5414988 to the power of 1/2, to the nearest integer? 2327 What is the square root of 19929122 to the nearest integer? 4464 What is the seventh root of 1096434 to the nearest integer? 7 What is the third root of 248876 to the nearest integer? 63 What is 101239 to the power of 1/2, to the nearest integer? 318 Wha...
{ "pile_set_name": "DM Mathematics" }
*5 Expand 2939*r**3 - r**2 - 5222*r**3 + 2785*r**3 - r**3 - 4*r**3 + 4*r**3 + (0*r - 3*r + 2*r)*(-r**2 + 2*r**2 - 3*r**2). 503*r**3 - r**2 Expand (0*z + 0*z - 2*z)*(-5*z + 2*z - 2*z)*(2 - 6 + 2)*(-22*z**2 + 0*z**2 - 23*z**2). 900*z**4 Expand (51 - 8 - 2)*(-26 - p + 15*p**2 - 7*p**2 - 6*p**2). 82*p**2 - 41*p - 1066 Expa...
{ "pile_set_name": "DM Mathematics" }
it of 1156500? 0 What is the ten thousands digit of 63129? 6 What is the millions digit of 2229606? 2 What is the millions digit of 23368690? 3 What is the units digit of 90280? 0 What is the tens digit of 1589802? 0 What is the ten thousands digit of 120211? 2 What is the units digit of 1488930? 0 What is the tens dig...
{ "pile_set_name": "DM Mathematics" }
00001 Let x be 9*(-1)/(2 + 1). Let v(a) = 1940002*a + 8. Let h(c) = -1940002*c - 7. Let p(r) = x*v(r) - 2*h(r). Let i be p(-5). Round i to the nearest 1000000. 10000000 Let j = 153 + 40.9. What is j rounded to the nearest 10? 190 Let s = -119 - -121. Suppose -1184 = s*f + 3*u, 3*f + 1490 + 275 = u. Round f to the neare...
{ "pile_set_name": "DM Mathematics" }