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placement from {z: 1, c: 2, i: 4, f: 2, q: 1, s: 2}. What is prob of picking 2 s? 1/66 Calculate prob of picking 1 c, 1 n, and 1 k when three letters picked without replacement from nccccckccccccn. 11/182 Calculate prob of picking 1 c, 2 e, and 1 f when four letters picked without replacement from echhfe. 1/15 Calculat...
{ "pile_set_name": "DM Mathematics" }
+ 85*j + 23. Let q be f(z). Factor -6/7*n + 0 + 3*n**q + 27/7*n**3. 3*n*(n + 1)*(9*n - 2)/7 Let c = -295559/180 - -1642. Let o(t) be the third derivative of 0*t + 6*t**2 + c*t**6 + 0 + 0*t**4 + 1/30*t**5 + 0*t**3. Factor o(p). 2*p**2*(p + 3)/3 Let -128*d**2 + 2978 + 129*d**2 + 2332*d - 1222*d + 1869*d = 0. What is d? ...
{ "pile_set_name": "DM Mathematics" }
5314 + -15385. -42 (-3 - -12) + 1 + (16 - (8 + 4)) 14 36 + -7 - 24 - (-1 + -69 - (-28 - -28)) 75 Calculate 9 - ((-6 - 2) + 30) - -28. 15 What is (-1 - -11 - (5 + -1)) + (-7 - -25) + -10? 14 Evaluate (-47 - (1 - -3) - 1) + -61 + (42 - -5). -66 Evaluate (-2 - 36) + 1 + 39. 2 Evaluate 22 - (10 + 5 + 5 - -59). -57 What is ...
{ "pile_set_name": "DM Mathematics" }
z be (-1 + 46/4)*(-16)/6. Which is bigger: z or -27? -27 Suppose -2*w - 2*m + 2 = -12, -2*w + 3*m = 1. Let z be 2 - w - (-10)/4. Which is greater: 0 or z? z Let l = 5 - 4. Let b be (l/(-1) - 0)/18. Let q = 7/36 - b. Is q smaller than 1? True Suppose 5*c = -3*f + 150, 3*f - 3*c - 12 = 114. Let k be 25/f + 2/(-9). Which...
{ "pile_set_name": "DM Mathematics" }
= -703 + 573.6. Let s = -130 - d. Sort l, s, 2/9 in descending order. 2/9, l, s Suppose 65*s + 9515 = 238*s. Sort 2, -3, s. -3, 2, s Let x = 0.2564 - 0.7564. Let u = -16/27 - -58/189. Put -5, 0.4, x, u in increasing order. -5, x, u, 0.4 Let o = 11.9 + -1.9. Let j(b) be the first derivative of -b**4/4 + 2*b**3/3 + 3*b*...
{ "pile_set_name": "DM Mathematics" }
(-4) + 6/d. What is the third smallest value in -4, z, 4/3, -5? z Let v = 0.5 + 3.5. Let b = 0.1906 - -0.8094. Let h = v + b. What is the third smallest value in -1, h, -0.1? h Let d = 1.0851 - -0.0149. Which is the second smallest value? (a) 11/6 (b) d (c) 5 a Let c(a) = -2*a**3 - 53*a**2 - 29*a - 76. Let n be c(-2...
{ "pile_set_name": "DM Mathematics" }
ch is the nearest to -2? (a) -0.04 (b) 75782 (c) 4 a What is the closest to 1.7 in 2/7, 11.9, 7, 1.1? 1.1 Which is the closest to -19? (a) 172 (b) 0.1 (c) -2 (d) -1/2 c Which is the closest to -2/611? (a) -4 (b) -13 (c) 2/5 (d) -1 (e) 4 (f) 14 c What is the closest to 0.39 in -1/7, -0.05, -55/2, 4, -3, 26?...
{ "pile_set_name": "DM Mathematics" }
3*j**4 - 2*j**4)*(165*j - 316*j - 406*j)*(1 + 4 - 4)*(0 - 4 + 2)*(-1 + 0 + 6). -11140*j**5 Expand 3*r**5 - 2*r**5 - 3*r**5 + (0*r**5 + 4*r**5 - 3*r**5)*(-1 - 1 + 0) + r**5 + 2*r**5 - 5*r**5 - 19*r**5 + 38*r**5 - 9*r**5 + 124*r**5 - 32*r**5 + r**5. 97*r**5 Expand (-1 - 2 + 4 + (-1 + 3 - 4)*(2 + 0 - 1))*(77232*u - 77230...
{ "pile_set_name": "DM Mathematics" }
? False Let y be 5*21/15680*-7. Let q be -2*(-4 + 2)/(-4). Which is bigger: y or q? y Let c = -2.08 - -0.08. Let x = -5.2 - -17.3. Let l = x + -12. Is c at most as big as l? True Let s be 3/14 + (-6)/(-21). Let t(n) = n**3 + n**2 - 3*n + 1. Let k be t(-3). Let w(c) = c + 8. Let m be w(k). Which is bigger: m or s? s Sup...
{ "pile_set_name": "DM Mathematics" }
= y + y. Suppose r + a = y, 52 = 4*r - a - 4*a. Suppose r*z - 17*z = -17811. Is z composite? False Let q(m) be the first derivative of -m**4 - m**3 - 3*m**2/2 - 3*m + 100. Is q(-14) a prime number? True Suppose -13*x = -100 + 269. Let v = x - -13. Suppose 5*z + 3*f = 7328, -3*z - 2*f - 535 + 4932 = v. Is z a composite ...
{ "pile_set_name": "DM Mathematics" }
f**(-1017/5) Simplify (g*g/(((g/g**(-9))/g)/g))/((g**(1/6)/g)/g)*(g*g*(g*g**(-2/3))/g)**23 assuming g is positive. g**(53/2) Simplify (j**(-21)/(j*(j/j**(-16))/j*j))**(14/3) assuming j is positive. j**(-182) Simplify (w**(-2/9)*w)**(-12)*(w**(-7))**(1/15) assuming w is positive. w**(-49/5) Simplify ((y*y**(-2/7)/y*y)**...
{ "pile_set_name": "DM Mathematics" }
072? 2, 311, 596119 What are the prime factors of 5065537645? 5, 7, 353, 409999 List the prime factors of 309013079. 309013079 What are the prime factors of 1432035950? 2, 5, 29, 47, 21013 What are the prime factors of 52824691? 157, 336463 List the prime factors of 4039894336. 2, 61, 1034809 List the prime factors of ...
{ "pile_set_name": "DM Mathematics" }
+ 6)/7 Let o(y) be the third derivative of y**7/105 + 13*y**6/10 - y**5/10 - 59*y**4/3 - 52*y**3 + 3*y**2 + 4*y + 32. Determine a, given that o(a) = 0. -78, -1, 2 Let s = 531 + -531. Let z(w) be the third derivative of 0 + 1/90*w**5 + 7/36*w**4 + 0*w + s*w**3 - 10*w**2. Factor z(j). 2*j*(j + 7)/3 Let n(d) be the third ...
{ "pile_set_name": "DM Mathematics" }
*y. What is the units digit of (-2)/(3/t*j)? 4 Let w(f) = -f**2 + 5*f - 4. Let i be w(5). Let s = 12 + i. What is the units digit of s? 8 Let i(p) = p + 2. Let j be i(-5). Let h(o) = -o**3 - 2. Let w be h(j). Suppose -w + 10 = -5*b. What is the units digit of b? 3 Let c = 48 + -80. Let m = -25 - c. What is the units di...
{ "pile_set_name": "DM Mathematics" }
2/81 Which is the nearest to -3/5? (a) 0 (b) 3.723 (c) -2/45 c What is the closest to -0.1 in -737, -1/3, 4/1567? 4/1567 Which is the nearest to 1/4? (a) -233 (b) 4/7 (c) 4 (d) 1 (e) -1/15 e Which is the closest to -2608? (a) 1/10 (b) -0.11 (c) -12 c Which is the closest to -353? (a) 125 (b) -2 (c) 2/31 ...
{ "pile_set_name": "DM Mathematics" }
= -3*s. Is n a multiple of 9? True Let k(f) = f**3 - 5*f**2 - f + 4. Let o be k(5). Let t(a) = 39*a**2 + a. Does 19 divide t(o)? True Let d = 38 - 24. Let y be (-4)/(-6) - 23/3. Let p = d + y. Is 7 a factor of p? True Let m = -24 - -123. Is 7 a factor of 2061/m + (-2)/(-11)? True Let m be 3*186/9*2. Let n = m - 80. Is...
{ "pile_set_name": "DM Mathematics" }
: 1, i: 4, c: 4, r: 1, k: 1}. 1/1001 Four letters picked without replacement from trtpttcttdlttttttdtl. Give prob of sequence crpt. 13/116280 Four letters picked without replacement from eegegege. What is prob of sequence egee? 3/28 Three letters picked without replacement from {l: 4, u: 2}. Give prob of sequence lll. ...
{ "pile_set_name": "DM Mathematics" }
. Let s be r(13). Give s*d(w) - u(w). 2*w + 1 Let k(p) be the second derivative of -p**3/6 - 3*p**2/2 + 9*p. Let j(m) = -3*m - 7. Calculate -2*j(x) + 5*k(x). x - 1 Let y(n) = -2*n**3 + 5*n**2 - 6*n - 7. Let d(l) = -l**3 + l**2 - l - 1. What is -5*d(q) + y(q)? 3*q**3 - q - 2 Suppose -w = -4*h + 1, 3*w - 5 = 2*h + 2*h. S...
{ "pile_set_name": "DM Mathematics" }
p is positive. p**(-5009/180) Simplify ((r/((r*r*r**(5/7))/r))/r**(-1/11))**(10/13)/(r**(-2/13)/((r/r**(-5))/r)*r*r**(2/15)*r**(-7/4)) assuming r is positive. r**(317777/60060) Simplify ((k/(k*k*k/(k/(k/(k/((k**1*k)/k*k)))))*k)**(1/4)/((k/k**(-23))/k**(-4)))**2 assuming k is positive. k**(-57) Simplify (((o*o*(o*o/(o*o...
{ "pile_set_name": "DM Mathematics" }
c - 96000 = 0. -16, -5, 48 Determine b so that -5*b**5 - 2799815*b**4 - 64393815*b**3 - 400357705*b**2 - 338763700*b = 0. -559940, -11, -1, 0 Factor 2*p**2 + 364320*p + 728632. 2*(p + 2)*(p + 182158) Factor 11250000*v**3 + 212955000*v**2 + 892859045*v - 1117064045. 5*(v - 1)*(1500*v + 14947)**2 Factor 4*o**2/7 - 338193...
{ "pile_set_name": "DM Mathematics" }
itive. v**(33637/11) Simplify (x**(-2)/(x*x**(-2/25)*x*x)*(x*(x/(x*x*x/(x*x**(-1/4))*x))/x)**(5/4))/((x**(1/4)*x**(-4))/(x**(-6/11)/(x*x/(x*x**(-2/5))))) assuming x is positive. x**(-26083/4400) Simplify (z**0)**(-2/23)*z**(1/2)*((z/z**0)/z*z)/z*z*(z*((z/(z**(-2)/z))/z)/z*(z**(-2/3)/z)/z)**(-4/17) assuming z is positiv...
{ "pile_set_name": "DM Mathematics" }
8988849050. Let w = 899730 + p. Let s = w - 42. What is s rounded to three dps? -0.006 Let r = 41.9 - 220.9. Let j = 13780873038 - 13780872859.00000154. Let v = r + j. What is v rounded to seven dps? -0.0000015 Let z(m) = 2*m - 9. Let y be z(9). Let d = y - 3. Let c(p) = 55000*p. Let h be c(d). Round h to the nearest 1...
{ "pile_set_name": "DM Mathematics" }
871.113 Sum 4539 and 385.42855. 4924.42855 What is -48.515989 take away -2.2? -46.315989 -51637201 + -20.8 -51637221.8 What is -8686781.1 take away -94? -8686687.1 507168637 + -31 507168606 What is -2071.2 plus -0.00077? -2071.20077 Calculate 6 + 1875.71407. 1881.71407 What is 3717697 - -0.1? 3717697.1 28222174+-0.096 ...
{ "pile_set_name": "DM Mathematics" }
t) = -t**2 - 6*t - 1. Let k = -42 + 76. Suppose -2*m = 4*v + 26, -5*m = 3*v + 10 + k. Determine b(m). -8 Let k(f) = -2*f + 12. Let l(v) = v - 8. Let d(a) = -5*k(a) - 8*l(a). Let z = -37 - -32. Let w be 6/3 + 35/z. Give d(w). -6 Let o(r) = -3*r + 9. Let q(f) be the second derivative of 0 - 19/2*f**2 - 10*f + 7/6*f**3. L...
{ "pile_set_name": "DM Mathematics" }
/(-5) + 146/(-290). Let i = c + m. What is the common denominator of i and 48/11? 22 Suppose 45 = 4*l + 1. Calculate the common denominator of (21/56)/(1/(-44)) and l. 2 What is the common denominator of -69/10 and (-15)/(-20)*33/27? 60 Let w(a) = a**2 - 8*a + 5. Let k be w(10). Let f = -15 + k. What is the least commo...
{ "pile_set_name": "DM Mathematics" }
14)**3*(b + 1847) Suppose -3*m**2/4 + 125265*m/4 = 0. Calculate m. 0, 41755 Factor 8*p**3/3 - 157742*p**2/3 + 777559612*p/3 + 194399762/3. 2*(p - 9859)**2*(4*p + 1)/3 Solve -c**4/2 - 109*c**3 - 1316*c**2 + 3405*c + 9225/2 = 0. -205, -15, -1, 3 Let -3*m**5/5 - 48*m**4/5 - 216*m**3/5 + 66*m**2/5 + 447*m + 630 = 0. Calcul...
{ "pile_set_name": "DM Mathematics" }
o) + 5*k(o). Let t be r(16). Calculate the highest common factor of t and 24. 12 Let u(x) = x - 3. Let g be u(-4). Let z be 0 + (-4 - g) - -9. Let v = 187 - 175. What is the highest common divisor of v and z? 12 Suppose -317 - 235 = -8*b. Let z = 30 + b. Calculate the greatest common factor of z and 22. 11 Let v(l) = -...
{ "pile_set_name": "DM Mathematics" }
= o. Is k a multiple of 13? False Suppose 4*m = 2*m + 28. Let w = m + -10. Is w a multiple of 3? False Let z be 376/6 + (-2)/3. Suppose 0*o - z = -4*y + 5*o, 0 = 4*o - 8. Is y a multiple of 12? False Suppose 2*r + 252 = 5*r. Does 12 divide r? True Let y be (-15 + 3)*(-1)/(-2). Let u = -5 - y. Is 2 + u/(-2)*-4 a multip...
{ "pile_set_name": "DM Mathematics" }
43921347 Calculate the common denominator of 1/153 and 37/5756472. 5756472 Calculate the least common multiple of 2851825 and 8783621. 219590525 What is the lowest common multiple of 3028136 and 8? 3028136 Calculate the smallest common multiple of 437250 and 4884. 32356500 Find the common denominator of -19/17394 and -...
{ "pile_set_name": "DM Mathematics" }
692*a - 1 + 0 - 3*a**2. -3*a**2 - 18456*a - 1 Collect the terms in 3*s - 1039 + 1937 + 1375 + 2*s. 5*s + 2273 Collect the terms in 6348985*k - 6348985*k + 3*k**3. 3*k**3 Collect the terms in -11*v + 85*v**2 + 12*v + 582*v**3 - 14*v**2 - 655*v**3. -73*v**3 + 71*v**2 + v Collect the terms in -11 - 1 + 21*c - 3 + 7 - 282*...
{ "pile_set_name": "DM Mathematics" }
*4/12 - 7*c**3/6 + 3*c**2 + 2*c. Suppose 82 = -9*u + 19. Determine w(u). 6 Let x(l) = -2*l**2 + 682 - 309 - 382. Calculate x(0). -9 Let b = 340 - 336. Suppose 3*f - 9 = 5*d + 13, -b*f + 6 = -2*d. Let t(r) = 4*r**2 - r - 1. Calculate t(f). 4 Let w be 300/45*-3*16/(-20). Let b(j) = j**2 - 12*j - 18. Calculate b(w). 46 Le...
{ "pile_set_name": "DM Mathematics" }
e 24/20*541 + (-7)/35. Calculate the greatest common divisor of o and 59. 59 Let b be 36/(-12 - -6) - -51. Suppose 9 = s - 0. Calculate the greatest common divisor of s and b. 9 Suppose 8*u - 75 = 245. Suppose 91 + 29 = 2*b. What is the highest common factor of b and u? 20 Let i(c) = 4*c**3 + 2*c**2 - 4*c + 2. Let y be...
{ "pile_set_name": "DM Mathematics" }
/7) Simplify d/((d/d**(-3/16))/d)*d**25*d assuming d is positive. d**(429/16) Simplify ((y/(y*(y*y**(-1/6)*y)/y))/(((y*y/(y/(y/(y**(-2)*y)))*y)/y)/y))**(-17/5) assuming y is positive. y**(289/30) Simplify (m**1)**41/(m*m/(m/(m*m/m**5*m))*m*(m/m**(-2/5)*m)/m) assuming m is positive. m**(198/5) Simplify (((b*(b/b**(-7))/...
{ "pile_set_name": "DM Mathematics" }
3*h - 8*h) in the form n*h**2 + p + w*h and give p. 0 Express -t - 2*t + 5 + 3*t + 6*t**2 + 3 in the form i + g*t**2 + c*t and give i. 8 Rearrange 3*j - 6*j**3 + 2*j**3 - 4*j - 10*j**3 - 2 - j**3 to the form t + w*j**3 + c*j + i*j**2 and give t. -2 Rearrange (50*i - 52*i - 130*i)*((3 - 3 - 2)*(-2 + 1 + 0) + 0 - 2 + 1)*...
{ "pile_set_name": "DM Mathematics" }
ulate the remainder when (-18)/(-4)*(20/3 + -4) is divided by 9. 3 Suppose 80*k - 81 = 77*k. Calculate the remainder when k is divided by (-20)/6*(-24)/20. 3 Suppose 0 = -2*q - 18 + 52. Suppose 0 = r + 4*w - 47, 5*r = -2*w + 135 + 28. Calculate the remainder when r is divided by q. 14 Suppose 1 = m - 2*t, 2*m - 18 = -2...
{ "pile_set_name": "DM Mathematics" }
+ 200/35. Suppose -11*x + 140 = -c*x. What is the remainder when x is divided by j? 13 Suppose -6 = -a + s - 1, -s = -2*a + 6. Let h = a - -17. What is the remainder when 35 is divided by h? 17 Let o(b) = -2*b + 8. Calculate the remainder when o(-6) is divided by 2/(-6)*(17 - 38). 6 Let u(x) = x**3 - 6*x**2 + 2. Let m ...
{ "pile_set_name": "DM Mathematics" }
55/4? 4/7 What is the nearest to 2 in -2/5, -0.136, 2, 7? 2 Which is the nearest to 0.65? (a) -26 (b) 1 (c) 10 b What is the nearest to -1/12 in -1.362, 0.2, 5, -4/7? 0.2 Which is the closest to 1/3? (a) -2/11 (b) -3/7 (c) -172 (d) -9 (e) -4 a What is the closest to -1/4 in 5, -13, -1, 3? -1 Which is the neares...
{ "pile_set_name": "DM Mathematics" }
-5, 4? 1/9 Which is the nearest to -2/253? (a) -1/5 (b) -5 (c) 0.4 a What is the closest to 2 in -5, 1, -231, 2/7? 1 Which is the closest to 3/7? (a) -6 (b) 46 (c) -5 (d) 4 d What is the closest to -0.71 in 5, 13/12, -1, -18? -1 What is the nearest to -1/3 in -9/133, 2/7, 8, 0.5? -9/133 What is the nearest to -...
{ "pile_set_name": "DM Mathematics" }
(c) -0.2 a What is the second biggest value in -2/11, -1/124, -1/2, 13/2, -0.03, 0.3, -0.3? 0.3 What is the biggest value in -17, 7, -4, 4, -0.06, 1427/2? 1427/2 Which is the fourth smallest value? (a) 3/2 (b) -3 (c) 3 (d) 0 (e) 2 (f) 6944 (g) -54 a Which is the biggest value? (a) -32 (b) 6 (c) 1/4 (d) 0.4 ...
{ "pile_set_name": "DM Mathematics" }
ite number? True Is 4792156433 composite? False Is 762975971 a prime number? False Is 199295523883 composite? False Is 1266081769 a composite number? True Is 21868819277 a prime number? True Is 244979899 a composite number? False Is 244967507 a composite number? True Is 882125117 a composite number? False Is 3542347109...
{ "pile_set_name": "DM Mathematics" }
8 - -1)? -11 Calculate -2 + 2 + 0 + (236 - 227). 9 -4 + (-2 - -9 - -6) 9 What is 2 + 0 + -2 + -10 + 4? -6 What is (5 - -3) + -14 - -2? -4 20 + -16 + 1 + -2 3 -8 - -10 - (1 - -5) -4 4 + (1 - 1) + -2 2 What is (-3 - -4) + (-5 - -8)? 4 What is (-5 - -1 - -4) + 3? 3 Evaluate -5 - (1 - (13 + -1)). 6 What is -3 - -1 - (-38 -...
{ "pile_set_name": "DM Mathematics" }
2). 8 Let g(w) = -w**3 - 6*w**2 + 4*w + 9. Calculate g(-6). -15 Let v(t) = -8*t - 20. What is v(-2)? -4 Let w(h) = h**2 + 5*h - 14. Determine w(-6). -8 Let t(s) = -s**2 - 17*s - 72. Give t(-10). -2 Let l(v) = 3*v**2 + 45*v + 103. Give l(-12). -5 Let p(k) = -7*k + 3. Determine p(-2). 17 Let d(t) = -t**3 - 13*t**2 + 11*t...
{ "pile_set_name": "DM Mathematics" }
7 = -6*r for f. 1 Solve 0 = 7*z - 0*j + 2*j - 27, -3*z - 111728 = 2*j - 111735 for z. 5 Solve 4*t = -947*z + 948*z + 4, -17 = -77*t + 3*z - 5 for t. 0 Solve 8*j - 212*i = -441*i + 232*i - 40, 0 = -4*j + 2*i - 24 for j. -2 Solve 2*o + 5*p = -2*o - 52, -5*o - 20 = 2777*p - 2782*p for o. -8 Solve -320*f + 13*f = -y - 616,...
{ "pile_set_name": "DM Mathematics" }
+ 16. Let p(x) be the third derivative of m(x). Factor p(f). -2*f*(f - 2)/7 Let g be 5 + -30 + 20 + 150/26. Factor -2*d**2 + 8/13 + g*d**3 + 8/13*d. 2*(d - 2)*(d - 1)*(5*d + 2)/13 Let y be 17176/(-22035) + 4/5 + 2/15. Suppose 8/13*t**3 - y*t**2 - 8/13*t + 2/13 = 0. What is t? -1, 1/4, 1 Let a(z) = -6*z**4 + 76*z**3 + ...
{ "pile_set_name": "DM Mathematics" }
8383, -68385, -68387, -68389, -68391? -68393 What comes next: 436, 882, 1326, 1768, 2208? 2646 What comes next: -1916, -3813, -5710, -7607? -9504 What comes next: -25, -285, -1005, -2413, -4737, -8205, -13045, -19485? -27753 What is next in -5115, -40865, -137875, -326775, -638195? -1102765 What is next in 1509, 1870, ...
{ "pile_set_name": "DM Mathematics" }
u*b + i*b**4 + h*b**3 and give x. 1 Express (-3*v + 2*v + 0*v)*(-38 + 8 - 2*v - 5) + 2*v**2 - 3*v**2 + 2*v**2 in the form d*v + k*v**2 + q and give d. 35 Express 2*p - p - 8 - 12 - 1 in the form b + o*p and give o. 1 Rearrange 2*k - k + 0*k - 3*k + 0*k + k + (2 + 1 - 1)*(4*k - 4*k + 2*k) + 15*k - k + 7*k to the form v ...
{ "pile_set_name": "DM Mathematics" }
xt in 16, 27, 36, 43, 48, 51? 52 What is the next term in -22, -43, -78, -133, -214, -327, -478, -673? -918 What comes next: 19, 18, 17, 16? 15 What is the next term in -154, -164, -172, -178, -182, -184? -184 What is the next term in -14, -31, -48, -65? -82 What comes next: -2, -12, -24, -38, -54? -72 What is next in ...
{ "pile_set_name": "DM Mathematics" }
(b) -0.3 (c) 0.3 (d) 1/4 d Let l = -1/30 + 23/90. Let m be 0 - (13/(-741))/((-1)/(-6)). What is the nearest to -0.1 in l, m, 1? m Let m = -13.1 + 13.01. What is the closest to m in 4, 0.1, -4? 0.1 Let h be ((-20)/35)/((-60)/66). Let i = 10/7 - h. What is the nearest to 1/4 in 1/4, -5, i? 1/4 Let w be (-5)/(-10) - 2/...
{ "pile_set_name": "DM Mathematics" }
(-3 + (sqrt(11) + 0 + sqrt(11) + 0)*1)**2. -12*sqrt(11) + 55 Simplify 6*(sqrt(1620) - (5 + 3*sqrt(1620)) - sqrt(1620))**2. 3240*sqrt(5) + 87630 Simplify (5 + -3 + (0 + sqrt(128) - sqrt(128)) + -3 + 4*-1*sqrt(128))**2*-5. -10245 - 320*sqrt(2) Simplify 1*(0 + (5 + 3 + sqrt(117) - sqrt(117))**2*-2*-2). 256 Simplify 1*(sq...
{ "pile_set_name": "DM Mathematics" }
(base 7) to base 4 122 Convert 113 (base 8) to base 4. 1023 Convert 5 (base 10) to base 7. 5 103 (base 4) to base 14 15 Convert 3 (base 10) to base 11. 3 What is 3 (base 11) in base 5? 3 4 (base 15) to base 2 100 What is 3 (base 12) in base 4? 3 Convert -6a (base 11) to base 9. -84 What is -b (base 16) in base 10? -11...
{ "pile_set_name": "DM Mathematics" }
Let i(a) = v*a**2 + 1 + 1 - a**3 + 2*a**3. Give i(r). 2 Let y(b) = 42*b**2 - 36*b**2 - b**3 + 2 + 5 - 4*b. Determine y(5). 12 Let j be (-1095)/75 + 4/(-10). Let p be j/6 - 1/2. Let z(g) = g**3 + 3*g**2. Determine z(p). 0 Suppose 2*t - 2 = -10. Suppose 4*y - 5 + 1 = 0. Let f(k) = 5*k + k**2 - y + 2 - 2*k. Give f(t). 5 ...
{ "pile_set_name": "DM Mathematics" }
value? (a) 4 (b) 1/6 (c) 0 (d) -2/9 (e) 1/14 (f) -465.4 f What is the fifth biggest value in 39/11, 11, -0.5, -7, 3? -7 What is the fifth biggest value in -0.5, -3/7, -80/9, 1/3, -809? -809 Which is the sixth smallest value? (a) -0.2 (b) -6 (c) 0.7 (d) 0.037 (e) 1 (f) -0.5 (g) 2/3 c What is the biggest va...
{ "pile_set_name": "DM Mathematics" }
r = 2*j - 3*j + 11 for j. -4 Solve -5*u + 4*n - 26 = 0, u + 6 = 5*n - 16 for u. -2 Solve h = -3*h - 4*m - 8, -3*m = -3*h + 18 for h. 2 Solve 0 = -6*j + 3*j + 5*o - 32, -5*o + 12 = 2*j for j. -4 Solve -5*y - 55 = 5*c, -4*y + c = 4*c + 35 for y. -2 Solve -4*c + 5*d = 17, -3*c + 11*d - 16*d + 31 = 0 for c. 2 Solve 5*s + 9...
{ "pile_set_name": "DM Mathematics" }
5. Let y = -22.1 - -22. What is the nearest to -0.1 in y, s, l? y Let o = -0.030515 - -1.030515. Let k(g) = g + 5. Let y be k(-6). Let r be (2/(-26))/(y/2). What is the closest to 1/3 in o, -3/4, r? r Let o = 5195099/799 - 6502. Let q = o - 3201/3995. Which is the nearest to 2? (a) q (b) 0 (c) 2 c Let u = -102.859 -...
{ "pile_set_name": "DM Mathematics" }
rrange 3*i**3 - 2*i**3 + 6*i + 9165*i**2 - 9183*i**2 to the form q + h*i**2 + t*i + o*i**3 and give o. 1 Rearrange (-3 + 7 - 3)*(-6 + 4*v + 641 + 287 - 5*v) to b*v + g and give g. 922 Rearrange 6*q - 5*q**3 + q**2 + q**2 + 1 - 2*q**2 + q**3 to the form h*q + j + d*q**3 + x*q**2 and give d. -4 Express (2*h**2 + 1 - 1)*(...
{ "pile_set_name": "DM Mathematics" }
+ 359*a*b*k**2 + 39*a*b*k - 2*b wrt k? 488*a**3*b + 8*a**3 + 718*a*b Find the third derivative of -5*n*x**5 + 3*n*x**4 + 247*n*x**3 - 21*n*x**2 + n*x - 1274*x**2 wrt x. -300*n*x**2 + 72*n*x + 1482*n Find the third derivative of -6*h**2*p**6 - 1283*h**2*p**3 + 134689*h**2*p**2 wrt p. -720*h**2*p**3 - 7698*h**2 What is t...
{ "pile_set_name": "DM Mathematics" }
30 - 25 + 9*v + 55. 9*v Collect the terms in -12*o - 15*o - 29*o. -56*o Collect the terms in r**3 - 282 + 282. r**3 Collect the terms in -2*a**3 + 332*a + 4*a**3 - 332*a. 2*a**3 Collect the terms in -h**2 + 0*h**2 + 4*h**3 - 5*h**3 - 2*h**3. -3*h**3 - h**2 Collect the terms in -4*a**2 - 4 + 2*a**2 + 38. -2*a**2 + 34 Co...
{ "pile_set_name": "DM Mathematics" }
llect the terms in -399*x**2 - 10 + 5*x - 8 + 7 + 18 - 9. -399*x**2 + 5*x - 2 Collect the terms in -78 + 69*r + 78*r - 62*r - 9. 85*r - 87 Collect the terms in 2*x + 1 - x - 1421*x**3 + 0 + x. -1421*x**3 + 2*x + 1 Collect the terms in -11 - 1576*w + 11. -1576*w Collect the terms in -17 + 8*n - 30 + 73 - 26. 8*n Collect...
{ "pile_set_name": "DM Mathematics" }
-8*f**2 - 51*f Let a(z) = 15468*z**3 + 48*z**2 + 33*z. Let c(y) = 967*y**3 + 3*y**2 + 2*y. Determine 2*a(m) - 33*c(m). -975*m**3 - 3*m**2 Let q(h) = 4210*h - 41. Let r(j) = 2103*j - 23. Calculate 4*q(s) - 7*r(s). 2119*s - 3 Let y(d) = 4*d**2 + 3*d - 2. Let i(b) = -10*b + 72. Let j be i(7). Let l(r) = -5*r**2 + 4 - 5*r ...
{ "pile_set_name": "DM Mathematics" }
. Let l(i) = 3*i**2 - 5*i + 20. Let o be l(13). Let b = o + -451. Solve 5*z - 5*v + 35 = 0, q*z + b = 2*v - v for z. -2 Suppose -5*j - 773 = -48. Let k = -133 - j. Solve -4*w - 2*n = -4*n - 4, 4*n - k = -2*w for w. 2 Let d = 3706 - 3702. Suppose 11*u = 4*l + 6*u - 8, -5*l + 10 = 3*u. Solve -5*c = d*k - 8, -4*c - l - 4 ...
{ "pile_set_name": "DM Mathematics" }
se -3*y - 2*y = 5*g, 0 = 5*g + y + 16. Let u be g/5*(9 - 4). Let z(j) = 2*j**2 - j + 1. Is z(u) composite? False Let j(l) = 12*l**2 - 1. Suppose 0 = 2*a + 2*a. Let v = 1 - a. Is j(v) a composite number? False Is 105 + 6 - (-1 - 1) a prime number? True Suppose 5*i + 3 + 7 = 0. Let f(q) = 94*q**2 + q - 1. Is f(i) composi...
{ "pile_set_name": "DM Mathematics" }
2752551, 4128816? 5505081 What comes next: -110620, -442337, -995162, -1769101, -2764160? -3980345 What is the next term in 389755, 779566, 1169373, 1559176, 1948975, 2338770? 2728561 What comes next: -2924957, -5849973, -8774989, -11700005? -14625021 What is the next term in 1105458, 2210751, 3316046, 4421343, 552664...
{ "pile_set_name": "DM Mathematics" }
is the biggest value in u, -1, c? c Let w = 22.1 + -3.1. Let k = w + -21. Which is the third smallest value? (a) 5 (b) 4/9 (c) k a Suppose d = -4*p, 2*d - 10 = -d - 2*p. Let f be d/40*4*-1. Let n be 8/(-6) - (-2 + 2). Which is the biggest value? (a) n (b) 1 (c) f b Let f = -247/5 + 49. What is the fourth smalles...
{ "pile_set_name": "DM Mathematics" }
41, 11098? u**3 - u**2 + 1543*u + 3 What is the n'th term of -66, -246, -548, -972, -1518? -61*n**2 + 3*n - 8 What is the p'th term of 3604, 3606, 3608, 3610? 2*p + 3602 What is the q'th term of 795, 1572, 2337, 3084, 3807? -q**3 + 784*q + 12 What is the k'th term of 35455, 35454, 35453, 35452? -k + 35456 What is the v...
{ "pile_set_name": "DM Mathematics" }
et r = 16 - 13.49. Let j = 2.4 - r. Let z = j + -6.89. What is the closest to 1 in 5, -4/3, z? -4/3 Let z = -12 + 12.1. Let o = -0.4 - -0.3. What is the nearest to z in 2, -4/7, o? o Let y = -367 + 444.6. Let s = y - 78. What is the nearest to 16 in s, 0.2, 2? 2 Let p be (160/25 - 6)*10. What is the nearest to p in -4/...
{ "pile_set_name": "DM Mathematics" }
w. Is 6 a factor of o? False Let k(x) = 30*x**2 + 41*x - 21. Is 8 a factor of k(-6)? False Suppose 2*b + 82 + 108 = 0. Let v = b - -99. Does 3 divide v? False Suppose 0 = -2*r + 5*p + 4, -4*p = -4*r - 3*p + 8. Is (-11)/(7/(-21)*(r - -1)) a multiple of 5? False Let a = -349 + 637. Is 9 a factor of a? True Let a(o) = 44...
{ "pile_set_name": "DM Mathematics" }
n + 11. Let d(q) = -u(q) + 6*v(q). What is 3*d(r) + 5*s(r)? r**2 + 2*r - 3 Let m(f) = 7*f**3 - 2*f**2 - 4*f - 11. Let l(x) = -15*x**3 + 5*x**2 + 9*x + 23. Calculate 4*l(p) + 9*m(p). 3*p**3 + 2*p**2 - 7 Let y(j) = -67*j. Let g(u) = 68*u. What is 4*g(t) + 5*y(t)? -63*t Let p(l) = -3*l**2 - 17*l - 7. Let j(o) = 15*o**2 + ...
{ "pile_set_name": "DM Mathematics" }
21? 7 What is -315468 divided by -92? 3429 Calculate -133 divided by -1053. 133/1053 Divide -1161 by 15. -387/5 Divide 294691 by 61. 4831 What is 89880 divided by -60? -1498 Calculate 1 divided by -202829. -1/202829 9 divided by 83896 9/83896 What is 196 divided by -719? -196/719 -878972 divided by -74 11878 -1 divided...
{ "pile_set_name": "DM Mathematics" }
ded by 12. 8 Calculate the remainder when 1586595 is divided by 385. 10 Calculate the remainder when 496351 is divided by 425. 376 What is the remainder when 4443948 is divided by 87136? 12 Calculate the remainder when 419901 is divided by 29954. 545 What is the remainder when 353894 is divided by 29491? 2 Calculate th...
{ "pile_set_name": "DM Mathematics" }
uppose 2*z = 5*v - 30, -v = v - 3*z - 1. Let g = v + -2. Solve k - u = -4 - g, -k - 5*u = -20 for k. -5 Let l(n) = 7*n**2 - n - 1. Let d be l(2). Suppose 3*h + d - 61 = 0. Solve 3*t = t - 5*p, -2*t = -p + h for t. -5 Let h be 0 - (2 + -2) - -1. Let r be 20 + h/((-1)/(-2)). Solve -4*m - r = 2*v - 52, 0 = -3*v + 3*m for ...
{ "pile_set_name": "DM Mathematics" }
of 0.1 and 57. 5.7 6 times 0.077 0.462 Product of -277 and -0.2. 55.4 Product of 0.2 and 185.2. 37.04 What is the product of 0.3 and -6.9? -2.07 Work out -66 * 0.3. -19.8 -0.32 times 191 -61.12 Calculate -9*-0.01. 0.09 271*0.3 81.3 Multiply 0.139 and -198. -27.522 What is the product of -1.3 and 3? -3.9 42 times -2 -84...
{ "pile_set_name": "DM Mathematics" }
3, e: 5}. What is prob of picking 1 e and 2 y? 15/56 Calculate prob of picking 2 c and 1 s when three letters picked without replacement from qwqcccccswwc. 3/44 Four letters picked without replacement from qhpprrfppprrpfkf. Give prob of picking 4 p. 3/364 What is prob of picking 4 x when four letters picked without re...
{ "pile_set_name": "DM Mathematics" }
(i)). -2*i**2 Suppose 3*r + 5 = -2*o, o - 27 = 4*r - 2. Let l(i) = 5*i**2 - o*i**2 - 3*i**2. Let f(s) = s - 2*s - s. Give f(l(w)). 6*w**2 Let x(h) be the second derivative of h**3/3 + h. Let f(v) = 90*v + 85*v - 173*v. Determine f(x(m)). 4*m Let f(t) be the third derivative of t**5/60 + 5*t**2. Let x(k) = 8*k**2. Give ...
{ "pile_set_name": "DM Mathematics" }
culate the remainder when p is divided by o(z). 20 Suppose -32 = -15*w + 11*w. Let p(j) = -j**3 + 6*j**2 + 20*j - 16. What is the remainder when 61 is divided by p(w)? 13 Let f = 194 - 100. Calculate the remainder when f is divided by 2673/135 + (1 - (-4)/(-5)). 14 Let f(x) be the first derivative of x**2/2 + 10*x - 8....
{ "pile_set_name": "DM Mathematics" }
the greatest common divisor of 920 and 15. 5 What is the highest common divisor of 7 and 14? 7 Calculate the greatest common divisor of 30 and 25. 5 What is the greatest common factor of 763 and 203? 7 Calculate the greatest common factor of 805 and 140. 35 What is the greatest common factor of 1313 and 808? 101 What ...
{ "pile_set_name": "DM Mathematics" }
uppose 2*v + 5*s = -3*v + 20, 4*v = 2*s + 46. What is the least common multiple of t and (3/v)/((-3)/(-27))? 33 Let h = -3092/7 + 111389/252. Calculate the common denominator of h and 4074/12416*-2*(14/6 + -2). 288 Suppose -3*m = -76 - 32. Let q = m - -72. Calculate the lowest common multiple of 5 and q. 540 Let k = -2...
{ "pile_set_name": "DM Mathematics" }
equence nnf. 1/340 Two letters picked without replacement from ffwffffwfwffwfwffff. What is prob of sequence ff? 91/171 Calculate prob of sequence kd when two letters picked without replacement from {z: 3, k: 1, p: 2, d: 6}. 1/22 Three letters picked without replacement from {x: 2, a: 5, z: 3, w: 2, i: 1, o: 6}. What i...
{ "pile_set_name": "DM Mathematics" }
o the nearest integer? 153 What is the square root of 6290 to the nearest integer? 79 What is the square root of 82166 to the nearest integer? 287 What is the third root of 1223 to the nearest integer? 11 What is the fifth root of 6983 to the nearest integer? 6 What is 264 to the power of 1/2, to the nearest integer? 1...
{ "pile_set_name": "DM Mathematics" }
common factor of k and 27? 27 Suppose 0 = 2*a - m - 1, 5*a - 6*m = -4*m + 2. Let r(s) = -s**3 - s**2 + 10. Let z be r(a). Calculate the greatest common factor of z and 20. 10 Let w(f) = -3*f + 7. Let l(v) = 9*v - 21. Let a(z) = -6*l(z) - 17*w(z). Let x be a(-2). Calculate the highest common divisor of 52 and x. 13 Let ...
{ "pile_set_name": "DM Mathematics" }
t is the next term in -1, 8, 27, 56, 95, 144? 203 What is next in 0, 5, 10, 15, 20? 25 What comes next: 28, 184, 606, 1426, 2776, 4788, 7594? 11326 What is next in 388, 760, 1132, 1504, 1876? 2248 What is next in 38462, 38459, 38446, 38417, 38366, 38287, 38174, 38021? 37822 What is next in -34, -67, -100, -133, -166, -...
{ "pile_set_name": "DM Mathematics" }
-200 in ascending order. -2688, -200, -4, -1, 0 Put 4, -3/4, -74695, -8, 1/3, 3 in decreasing order. 4, 3, 1/3, -3/4, -8, -74695 Put 1, -10091, -10, -1/8 in ascending order. -10091, -10, -1/8, 1 Sort -1, 1, -20, -10, 2, 14, -3 in decreasing order. 14, 2, 1, -1, -3, -10, -20 Sort 67, -582, 3, -2 in decreasing order. 67...
{ "pile_set_name": "DM Mathematics" }
c? False Let j(b) = -b + 97. Is j(20) a multiple of 37? False Suppose -72*j + 202 = -70*j. Does 32 divide j? False Let l(v) = -v**3 - 15*v**2 - 40*v + 22. Is l(-12) a multiple of 19? False Suppose 10*t - 3*t - 21 = 0. Suppose -t*u + 55 = -0*u - b, 0 = -u - 5*b + 45. Is 3 a factor of u? False Suppose -r + 4*s - s = -19...
{ "pile_set_name": "DM Mathematics" }
6370 Convert 1346 (base 11) to base 4. 123100 Convert -33d0 (base 15) to base 14. -4015 What is -104021 (base 5) in base 12? -2130 Convert -202212111 (base 3) to base 11. -10481 731 (base 12) to base 3 1102201 Convert 221212000 (base 3) to base 2. 100100110011110 Convert 252 (base 8) to base 13. 101 Convert -789e (base...
{ "pile_set_name": "DM Mathematics" }
*2 - 2568954 What is the third derivative of 24475064*k*l**3*o*v + k*l - k*o*v**3 - l**3*o*v**3 + 180*l**2*o*v**3 + 4*l**2*o*v**2 - 1256*l*v**3 wrt l? 146850384*k*o*v - 6*o*v**3 Differentiate -24292*b*c*y + 134795*b*c + 380*c**3*y + 2*c**3 - 3 wrt y. -24292*b*c + 380*c**3 What is the third derivative of -15*i**3*o**3 +...
{ "pile_set_name": "DM Mathematics" }
*f for f. -3 Let r be (80/(-24))/((-2)/3 - 0). Suppose r*u - 14 = -4. Suppose 0*l = 2*l - u. Solve -l = -k + 1 for k. 2 Let y be (3 - (-2 + 2)) + -7. Let u be (-44)/(((-32)/y)/(-4)). Suppose 5*c + u = 62. Solve 4*q = -0*q + c for q. 2 Let c(n) = 3*n**3 + n**2 + 16*n + 13. Let g be c(0). Solve g*b + 7 = 14*b for b. 7 Le...
{ "pile_set_name": "DM Mathematics" }
) assuming d is positive. d**(1201/84) Simplify (n**(4/5)*n**(-3)*((n*n*n/(n/(n*n**1))*n)/n)/n**2)/((n**0)**(-32)/(n**2)**(-4/23)) assuming n is positive. n**(-63/115) Simplify (((h**2*h)**(-29)/(h*h/(h*h/(h*h**5)*h*h*h)*(h*h**(-2/15)*h)/h))**(-15/7))**43 assuming h is positive. h**(58609/7) Simplify ((o**(8/5)*o**(1/9...
{ "pile_set_name": "DM Mathematics" }
2*(l - 34)**3/5 Let y(i) be the third derivative of 0 + i**2 - 3/2*i**4 + 0*i - 1/30*i**6 + 0*i**3 - 2/5*i**5. Suppose y(v) = 0. What is v? -3, 0 Let i be ((-4)/(-34))/((-302)/(-5134)). What is h in 1/4*h**3 + 0 + 0*h + 3/4*h**i = 0? -3, 0 Let b(p) be the first derivative of -p**5/130 + p**3/13 + 2*p**2/13 - 3*p + 31....
{ "pile_set_name": "DM Mathematics" }
- -8). Let v = n + -518701/1352820. Find the common denominator of v and 79/84. 420 Let a = 3988470 - 15355609361/3850. Find the common denominator of a and 57/20. 7700 Suppose -5*q + 5*v = 118393 + 30817, 0 = q + 4*v + 29832. Let t = -1879861/63 - q. Find the common denominator of t and 61/36. 252 Let t = -22 + 37. F...
{ "pile_set_name": "DM Mathematics" }
**3 + 2*k**2 + k + 220 What is the f'th term of 19183, 38383, 57603, 76849, 96127, 115443, 134803? f**3 + 4*f**2 + 19181*f - 3 What is the i'th term of -665, -2805, -6373, -11369, -17793, -25645? -714*i**2 + 2*i + 47 What is the h'th term of 9266159, 9266158, 9266157, 9266156, 9266155? -h + 9266160 What is the a'th ter...
{ "pile_set_name": "DM Mathematics" }
*r = -3 + 9. Is (i/(-12))/(r/4) a prime number? True Let v(d) = d**2 + 3*d - 1. Let z(m) = m - 2. Let c be z(-2). Let b be v(c). Suppose -b*t - 4*p + 0*p + 45 = 0, -69 = -3*t + 4*p. Is t a prime number? True Suppose 0 = -5*o - 4*o + 27. Suppose 5279 = 2*q + o*l + 186, -5*l = 2*q - 5095. Is q a composite number? True Su...
{ "pile_set_name": "DM Mathematics" }
is the units digit of t? 8 What is the units digit of 24*(16/3 - 3)? 6 Let c(w) = -w**3 - w**2 + 2*w - 2. Let n be c(-3). Let v = -6 + n. What is the units digit of v? 4 Let j = -115 - -127. What is the tens digit of j? 1 Suppose -s - m - 5 = -2*m, 2*s - 3*m = -13. Suppose 0*t = 2*t + 2. What is the units digit of (4 ...
{ "pile_set_name": "DM Mathematics" }
497. 7 What is the greatest common divisor of 12077 and 13? 13 Calculate the highest common divisor of 12 and 167176. 4 What is the greatest common factor of 752 and 976? 16 Calculate the highest common divisor of 1120 and 196280. 280 What is the greatest common factor of 10268 and 4012? 68 What is the highest common ...
{ "pile_set_name": "DM Mathematics" }
- 7*s**4/2 + 2*s**3/3 + 705*s**2/2 - 1092. What is the third derivative of l(f) wrt f? 8880*f**3 - 84 Let m(y) = -66*y**3 + 40*y**2 + 364*y - 8. Let d(w) = -62*w**3 + 41*w**2 + 365*w - 9. Let r(l) = 3*d(l) - 4*m(l). Find the second derivative of r(t) wrt t. 468*t - 74 Suppose 0 = -3*c - 3*d + 4*d - 356, -5*c - 4*d - 59...
{ "pile_set_name": "DM Mathematics" }
3, 3 Put -4, -267, 105/8 in decreasing order. 105/8, -4, -267 Put -3, 5, -233, -1, 2, -2 in descending order. 5, 2, -1, -2, -3, -233 Sort -1, -14, -1.1, 3/7, -8. -14, -8, -1.1, -1, 3/7 Put 5/2, 2, 25.5, 8/31 in descending order. 25.5, 5/2, 2, 8/31 Put -1/11, 13/393, -0.03 in decreasing order. 13/393, -0.03, -1/11 Sort ...
{ "pile_set_name": "DM Mathematics" }
(9 - 2))*56/70. 4 Calculate ((-12)/(-10))/(26/(-65)). -3 (3/6)/(52/78) 3/4 -178 + 163 + (-74)/(-5) -1/5 What is the value of (-9 + 6)*(-1)/(-5)? -3/5 Evaluate ((-448)/(-40))/(-14)*10/(-28). 2/7 Calculate (-4)/(260/185) + 3. 2/13 (0/52)/(-2 - -1) 0 Calculate (-3)/(-9) + (-6)/9. -1/3 Calculate (0 + -1)/(2/(-6)*-1). -3 Wh...
{ "pile_set_name": "DM Mathematics" }
*3 Expand (774 - 1500 + 6298 + 2504)*(1 - 2*r - 1). -16152*r Expand 2*i**3 + 2*i**3 - i**3 + ((5 - 2 - 2)*(2*i + 1 - 1) + 444*i - 146*i - 55*i)*(4*i**2 - i**2 - i**2). 493*i**3 Expand (-9278014 + 9278014 + 1722*z**2)*(1 - 1 - 1). -1722*z**2 Expand (-4*b + 2*b + b)*(-1 - 2 + 2)*(-3 - 6 + 4)*(-316*b**2 + 44*b**2 - 294*b*...
{ "pile_set_name": "DM Mathematics" }
*2 - 3*b**2 - 8*b**2 - 3*b**2 to g*b + t*b**3 + y + s*b**2 and give t. -2 Rearrange 17 - 9*c**3 + 24 - 51 + 22*c**2 + 9 to the form y*c**3 + g + u*c**2 + l*c and give u. 22 Rearrange -5*r**2 + 13*r - 15*r**2 + 17*r - 34*r + 2*r**3 to the form i*r**3 + a*r**2 + g + b*r and give i. 2 Rearrange (-321 + 321 + 16*v)*(-8*v**...
{ "pile_set_name": "DM Mathematics" }
17 a factor of j? False Let p(c) = -33*c - 37. Let a = 440 - 445. Is 36 a factor of p(a)? False Let a(d) = d**2 - d. Let c be a(2). Suppose 3*j + 2*j = -25, c*y + 3*j = -9. Suppose -y*t + 31 = -5. Is t a multiple of 2? True Let g = 6576 + -5677. Is 30 a factor of g? False Suppose 13*y - 9*y + o = -2723, -665 = y - 5*o....
{ "pile_set_name": "DM Mathematics" }
prime factors of 7469700. 2, 3, 5, 7, 3557 List the prime factors of 5865593. 1319, 4447 List the prime factors of 4113883. 4113883 What are the prime factors of 1821365? 5, 7, 13, 4003 List the prime factors of 39827665. 5, 2473, 3221 List the prime factors of 5921389. 17, 47, 7411 List the prime factors of 1456618. 2...
{ "pile_set_name": "DM Mathematics" }
3*a - z - 27 = 0, 2*a + 10 = -z + 33. Suppose 168 = a*c - 3*c. What is the highest common factor of c and 6? 6 Let f be ((-4)/(-6))/(10/300). Calculate the highest common factor of f and 250. 10 Let x(t) = 2*t**3 - 18*t**2 + 4*t - 8. Let a be x(9). Calculate the highest common factor of 784 and a. 28 Suppose -4*s = -2*...
{ "pile_set_name": "DM Mathematics" }