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nd 9? 9 Calculate the highest common divisor of 407 and 31783. 37 Calculate the greatest common factor of 275 and 451. 11 What is the highest common factor of 13440 and 42? 42 What is the greatest common divisor of 45 and 4545? 45 What is the greatest common factor of 4778388 and 116? 116 Calculate the highest common f...
{ "pile_set_name": "DM Mathematics" }
erms in 122431475 + 5*v - 122431475. 5*v Collect the terms in 3641*a**3 + 3705*a**3 + 3709*a**3 - 11048*a**3. 7*a**3 Collect the terms in 22630*w - 11330*w - 11303*w. -3*w Collect the terms in 581*j**3 - 16*j**2 + 3*j**2 + 10*j**2 - 109*j**3. 472*j**3 - 3*j**2 Collect the terms in -22*g**2 - 54 + 17*g**2 + 54 + 6*g + 7...
{ "pile_set_name": "DM Mathematics" }
hich is smaller: 1 or -296261.2? -296261.2 Is 0 greater than or equal to -4/9916485? True Is 0 at least as big as 3/274505? False Is -52419 bigger than 10? False Which is smaller: 10/729 or 1? 10/729 Is -1/257205 bigger than 1? False Which is bigger: -5375 or -5365? -5365 Which is greater: 21171/65 or 325? 21171/65 Is ...
{ "pile_set_name": "DM Mathematics" }
What is the second derivative of 2*g**2 + 3*g - 592*g**3 - 13 - 2*g**2 + 842*g**3 wrt g? 1500*g Find the second derivative of 44*j + 38*j**4 + 52*j**4 - 606*j**4 + 442*j wrt j. -6192*j**2 Let b(s) = -325*s**2 - 55*s + 1810. Let i(v) = 12*v**2 + 2*v - 67. Let r(g) = -2*b(g) - 55*i(g). Find the first derivative of r(a) ...
{ "pile_set_name": "DM Mathematics" }
-6.3? 2/111 What is the second biggest value in 22/9, 2, -3/2, 3/41? 2 Which is the second biggest value? (a) -1.3 (b) 2/3 (c) 3 (d) 4 (e) 2/157 c Which is the third biggest value? (a) 5/2 (b) 4 (c) -1.8 (d) 27 (e) 1 a Which is the smallest value? (a) -0.0719 (b) -2 (c) 782 b Which is the biggest value? ...
{ "pile_set_name": "DM Mathematics" }
lect the terms in -3*h + 4*h + 0*h - 125. h - 125 Collect the terms in -5*i + 8*i + 15*i. 18*i Collect the terms in 19*v**3 + 17*v**3 - 3 - 35*v**3. v**3 - 3 Collect the terms in -16*x**3 - 19*x**3 - 10*x**2 + 10*x**2. -35*x**3 Collect the terms in 14*k**2 + 10*k**2 - 11*k**2. 13*k**2 Collect the terms in -11*j**3 + 2*...
{ "pile_set_name": "DM Mathematics" }
- 13 - 6*i)*(0*i + 3*i - 2*i) - 18*i + 18*i - 3*i**2 as g + p*i**2 + d*i and give d. 18 Rearrange -2651*o**3 - 1303*o + 0*o**2 + 2*o**2 + 2*o**4 + 1327*o**3 + 1324*o**3 + 2 to l + h*o**2 + v*o**4 + p*o + f*o**3 and give v. 2 Express 2083 - 6*m**2 - 1034 + m - 1024 in the form r + n*m**2 + l*m and give n. -6 Rearrange 1...
{ "pile_set_name": "DM Mathematics" }
give t. -40 Express -3*v + 8 + v**4 + 3*v + (-v + v - 2*v)*(0*v**3 - v**3 + 0*v**3) as l*v**4 + b*v**3 + r*v + k*v**2 + i and give l. 3 Rearrange -9 + 8*u**3 + 2*u - 5 + 21 - 8 to the form i + a*u**2 + t*u**3 + j*u and give t. 8 Express (3*n**2 + n + 0*n**2 + 0*n)*(7 - 7 + 4*n) in the form h + d*n**2 + j*n + y*n**3 and...
{ "pile_set_name": "DM Mathematics" }
452964 to 2 decimal places. 357.45 Round 0.00030030814 to 5 decimal places. 0.0003 Round -31.68186 to one decimal place. -31.7 What is 32.434261 rounded to one decimal place? 32.4 Round -141.441551 to one decimal place. -141.4 Round -0.000001564824141 to seven decimal places. -0.0000016 Round -0.8829105883 to 1 dp. -0....
{ "pile_set_name": "DM Mathematics" }
**2 + 3*p + 2. Let m be (-1 + 3)/(8/16). Determine m*y(n) + 3*w(n). n**3 - 2*n**2 + 2 Let t(z) = -2*z - 5. Let b be t(-5). Let g(v) be the first derivative of 4*v**3/3 + 3*v**2/2 + v + 18. Let q(w) = 6*w**2 + 4*w + 1. What is b*q(l) - 7*g(l)? 2*l**2 - l - 2 Let w(p) = 2*p + 2. Let a(j) be the first derivative of 0*j - ...
{ "pile_set_name": "DM Mathematics" }
*sqrt(648)))**2 + -5 + sqrt(19)*-1 + 1)*1 + -2)*-6. 6*sqrt(19) + 1925/54 Simplify (((-2 + sqrt(405))*-1 + sqrt(405) - (sqrt(405) - (-1*sqrt(405) + sqrt(405))*-2)) + -4 + sqrt(180) + (2 + sqrt(180) - sqrt(180)) + 1)**2. -6*sqrt(5) + 46 Simplify -1 + 3 + (sqrt(2057) - (sqrt(2057) + -1 + 2)**2) + -4 + (0 + sqrt(2057) - sq...
{ "pile_set_name": "DM Mathematics" }
e the third derivative of 0*g**4 - 12*g**k + 0 + 0*g**3 + 0*g - 1/60*g**5. Determine s(l(w)). -w**4 Let s(a) be the second derivative of 0*a**3 - 5 + 1/12*a**4 + 0*a**2 - 10*a. Let u(t) = 65*t. What is s(u(m))? 4225*m**2 Let j(k) = 12199928*k. Let t(a) = a**2 - 5. What is t(j(f))? 148838243205184*f**2 - 5 Let t(n) = -1...
{ "pile_set_name": "DM Mathematics" }
+ 466*l**3 - 18208*l**2/9 + 6904*l/9 + 9856/3 = 0? -1, 2, 6, 11, 112 Find l, given that 2*l**3 + 282*l**2 + 2572*l - 6288 = 0. -131, -12, 2 Determine n so that -9*n**4/10 + 3959*n**3/5 - 21937*n**2/10 + 1052*n + 1754/5 = 0. -2/9, 1, 2, 877 Solve -36*z**5/5 + 17128*z**4/5 + 7724*z**3 - 36224*z**2 - 248464*z/5 - 45888/5...
{ "pile_set_name": "DM Mathematics" }
+ 9. Calculate s(t). -2 Let g(q) = 8253 - 8349 + 211*q - 231*q - q**2. Calculate g(-6). -12 Suppose 3*x + 2*n = 5*x + 6, 2*n = 5*x. Suppose 31*t - 186 - 31 = 0. Suppose 5*u + d - 28 = -x, u + 2*d = t. Let v(o) = o + 2. Calculate v(u). 7 Suppose -21 + 0 = -3*i. Suppose 0 = -t - 1, h - 5*t + t = 9. Let x(v) = 6 + 5*v - v...
{ "pile_set_name": "DM Mathematics" }
factors of n? 2, 3, 41 Suppose p = -3*p. Suppose -44 = 4*m - p*m. Let a(v) = v**3 + 11*v**2 - 2*v - 5. What are the prime factors of a(m)? 17 Suppose 0 = -7*u + 656 + 163. What are the prime factors of u? 3, 13 Let v be 28/4*(-12)/(-14). Let u = 5 + -4. Let c = v + u. What are the prime factors of c? 7 Let w(t) = t**3...
{ "pile_set_name": "DM Mathematics" }
3*l**3 + l**2. Let p be d(1). Let q = -263 - -252. What is the second smallest value in q, p, -0.1? p Let u = -13 - -12.985. Let d = u - 0.285. What is the third smallest value in 2/11, d, -2? 2/11 Let n be (2/(-3))/(8 - 4). Let q = -28 + 17. Let r = q - -14. What is the second smallest value in r, -1, n? n Suppose 0 =...
{ "pile_set_name": "DM Mathematics" }
of ((-3)/(-2) - 3/4)*2? 3/2 Calculate (2 - (-12)/(-3))/((-98)/(-28)). -4/7 What is -5 - 147/(-30) - 13/70? -2/7 Calculate (2 - (-28)/(-8))/(2/4). -3 What is the value of (1 - 24/9)/(6/(-18))? 5 (642/66 + -10)/(4/(-22)) 3/2 -3*(-40)/(-90) - -1 -1/3 Evaluate (-19 - -20)*2/1. 2 What is the value of 0 + (-28)/(-16)*(-11)/1...
{ "pile_set_name": "DM Mathematics" }
atest common factor of 67951 and g? 13 Suppose 0 = -88*s - 2382 + 3438. Let z = 8 - -25. Calculate the highest common factor of z and s. 3 Suppose -17*c + 18*c - 5 = 0. Suppose 0 = c*o - 174 - 51. Calculate the highest common divisor of 10 and o. 5 Suppose -7*i + 19*i + 36 = 0. Let s be 14 - 3/1*(-2 - i). Calculate the...
{ "pile_set_name": "DM Mathematics" }
without replacement from {x: 4, w: 1, b: 2}. Give prob of sequence wxb. 4/105 Calculate prob of sequence sdv when three letters picked without replacement from {y: 3, z: 1, v: 2, d: 6, s: 5}. 1/68 Calculate prob of sequence eeu when three letters picked without replacement from {e: 2, u: 2, s: 1}. 1/15 Two letters pick...
{ "pile_set_name": "DM Mathematics" }
of 1793933? 631, 2843 What are the prime factors of 31113749? 31113749 What are the prime factors of 21624592? 2, 11, 122867 What are the prime factors of 16576? 2, 7, 37 List the prime factors of 4287155. 5, 857431 List the prime factors of 3038898. 2, 3, 19, 23, 61 List the prime factors of 1082985. 3, 5, 17, 31, 13...
{ "pile_set_name": "DM Mathematics" }
326*x**2. Let u(t) = 125*t**3 + 33*t**2 + 17*t + 10. Let w be u(9). Let a(d) = 93961 - w - d. Determine a(l(n)). -326*n**2 Let m(v) = 2081*v**2. Let y(s) = -8*s - 27. Give y(m(p)). -16648*p**2 - 27 Let u(z) = -126*z + 3. Let w(n) = 13800*n. Determine u(w(l)). -1738800*l + 3 Let y(b) = -4*b**2. Let n = 29 + -27. Let c(x...
{ "pile_set_name": "DM Mathematics" }
00 Round -0.000026525 to 7 decimal places. -0.0000265 Round 0.0018401 to four dps. 0.0018 What is 0.00058461 rounded to five dps? 0.00058 What is 49000 rounded to the nearest 10000? 50000 Round 16.7 to the nearest 10. 20 Round 76707000 to the nearest 1000000. 77000000 Round -952.8 to the nearest 10. -950 Round 23250 to...
{ "pile_set_name": "DM Mathematics" }
culate the remainder when j is divided by f. 8 Let d(c) = 88*c - 99. Let g be d(6). Let w = -13 + g. What is the remainder when w is divided by 14? 10 Let o be 111/39 - 3 - 6256/(-104). Let l = o - 95. Let s = l - -41. What is the remainder when 18 is divided by s? 0 Suppose -5*j + 3*q + 88 = 0, -20*j - 4*q + 47 = -17*...
{ "pile_set_name": "DM Mathematics" }
f(d) = -d**3 - 4*d**2 + 5*d + 4. Calculate f(c). 4 Let o(h) = -12*h - 26. Let g(k) = 3*k - 3*k + 4*k + 9. Let a(i) = -17*g(i) - 6*o(i). Let x be ((-4)/(-8))/((-1)/4). Calculate a(x). -5 Let p(m) be the second derivative of m**2 - m**3 + 1/12*m**4 - 2*m + 0. Calculate p(4). -6 Let k(f) be the first derivative of 3*f - ...
{ "pile_set_name": "DM Mathematics" }
*x + 28, -107 = 8*x - 3*q - 99 for x. -4 Solve g = -3*j, 152*j - 304*j + 5*g = -151*j + 32 for j. -2 Solve 2*w - 107 = 3*b - 96, b = -2*w + 15 for b. 1 Solve -25*t + 27*t = -4*q + 14, 3*q - t = 18 for q. 5 Solve -2*z = l + 11, 0 = 4*z + l + 43 - 22 for z. -5 Solve 0 = -11*s + 6*s + 5*k - 5, 7*k = 14 for s. 1 Solve -4*b...
{ "pile_set_name": "DM Mathematics" }
Let x = 150323 - 69959. Let q = 80406.079 - x. Let f = q - 42. Round f to 2 dps. 0.08 Let m = -43.295 - -80.48. Round m to zero dps. 37 Let d = -2231.5584 - 0.4416. Let w = 2232.000002257 + d. What is w rounded to seven decimal places? 0.0000023 Suppose -25*m = 1170 + 630. Let b be 3125/2*5868*m/(-135). What is b roun...
{ "pile_set_name": "DM Mathematics" }
Let y = 0.67 - -0.08. Let k = y + -0.9. Let q = -0.05 + k. What is the third smallest value in q, 2, -0.5? 2 Let t(l) = l**2 - 2*l - 11. Let x be t(-3). Which is the second smallest value? (a) 0 (b) x (c) -4 (d) 0.1 a Let k be (-1 + (-9)/(-3))/(-2). Let i be (-30)/12 - (k + -2). What is the second smallest value i...
{ "pile_set_name": "DM Mathematics" }
w = s, f*s + w + w = o for s. 5 Let f be ((-24)/(-16))/((-2)/(-52)). Let x = f - 34. Suppose -x*q - 4 = -14. Solve 2*c = q*d + 6 + 6, -2*d = 4 for c. 4 Let l(d) = -d**3 + 6*d**2 + 12*d - 31. Let t be l(7). Solve 0 = -4*h - 2*u + 18, -4*h - 3*u + 9 = -t*u for h. 3 Suppose 5 + 13 = -z. Let q = z - -21. Solve -3*c = -3*n,...
{ "pile_set_name": "DM Mathematics" }
. Suppose v = -m + 5*w - 1, 0 = 5*m - 2*w + 2. What is m rounded to one decimal place? 0 Let y be 0 + 2 - (-6)/3. Let d(l) = 650*l**3 - 4*l**2 + 2*l - 6. Let z be d(y). Let q = -32462 - z. Round q to the nearest ten thousand. -70000 Let z(v) = 312*v**2 + 3*v + 8. Suppose -2*g - 1 + 31 = 0. Let l be (-18)/g*(-20)/3. Let...
{ "pile_set_name": "DM Mathematics" }
= 36 + -11. Suppose -6*t + 5*t - 88 = 4*o, 0 = 5*t - o + 356. Let f = d - t. Is f a multiple of 11? False Suppose y + 156 = -3*w + 4*y, 0 = w - 3*y + 48. Let h = w + 64. Let o(d) = d**2 + d - 19. Does 13 divide o(h)? True Suppose 3*o - 101787 = d, 5*o - 44088 = -5*d + 125577. Is 174 a factor of o? True Suppose 2*f - 1...
{ "pile_set_name": "DM Mathematics" }
+ -37 -34 Calculate -3 + -2 - (-11 + 12) - (-48 + 1). 41 Calculate -2 + -40 - (-2106 + 2206). -142 Evaluate 1 - (20 + -18 + (-2 - -6)) - (-2 + 55). -58 What is the value of 12 - 16 - (49 - 1 - 1) - (-370 + 357)? -38 Calculate -101 + 79 - (5 - (0 + 0 - (-7 + 3))). -23 (-12 - (-14 + -25 + 4)) + 9 + -1 31 What is (0 - 13...
{ "pile_set_name": "DM Mathematics" }
*d**2/2 + 8613*d/2 + 7623 = 0. Calculate d. -231, -33/2, -2 Let -3*q**4/5 + 909*q**3/5 + 1839*q**2/5 - 549*q = 0. What is q? -3, 0, 1, 305 Factor 5*i**4 + 681505*i**3 + 23222794000*i**2 + 23222112500*i. 5*i*(i + 1)*(i + 68150)**2 Factor -3*j**3 - 651*j**2 + 71043*j - 70389. -3*(j - 79)*(j - 1)*(j + 297) Factor -u**2/3 ...
{ "pile_set_name": "DM Mathematics" }
6)) - -3. Suppose -3*p = -k - 10. Suppose 5*l = p*i + 30, 2*i = l - 2*l + 15. What are the prime factors of l? 3 Suppose 10*s = 5*s - 90. Let b = s + 23. Suppose -193 = -b*j - 13. List the prime factors of j. 2, 3 Let a(u) = 4*u - 2. Let k(t) = -t + 1. Let m(p) = -3*a(p) - 8*k(p). Let x(r) = -5*r - 3. Let w(q) = -4*m(q...
{ "pile_set_name": "DM Mathematics" }
2. Let s(h) = -h. Let i(u) = -u**2 - 3*u. Let t(w) = i(w) - 3*s(w). What is n(t(v))? v**2 Let c(n) = 17*n + 2. Let x(h) = -2*h**2. What is x(c(v))? -578*v**2 - 136*v - 8 Let r(l) be the third derivative of l**4/24 - 3*l**2 + 1. Let w(a) = 16*a. Give r(w(k)). 16*k Let x(i) be the first derivative of -1 + 0*i - 3/2*i**2....
{ "pile_set_name": "DM Mathematics" }
t is the remainder when 1042119 is divided by 43401? 495 What is the remainder when 22933355 is divided by 282? 269 Calculate the remainder when 2753856 is divided by 458973. 18 Calculate the remainder when 8918571 is divided by 330. 321 What is the remainder when 2603557 is divided by 3243? 2671 Calculate the remainde...
{ "pile_set_name": "DM Mathematics" }
= 0 for x. -35 Solve 0 = 5*q - 3*b + 7, 12*b - 9*b + 169 + 632 = -399*q for q. -2 Solve -16*p - w = 52, 2*p + 33797*w - 33800*w - 56 = 0 for p. -2 Solve 0*w + 20 = 20*f - 2*w + 48, f - 6*w + 5*w + 9 = -4*f for f. -1 Solve 13*p + 2*p + 1449 = -3*m + 1653, 3*p - 3*m = 48 for p. 14 Solve 35*r - 596 = o - 1193, -23 = r - ...
{ "pile_set_name": "DM Mathematics" }
n 99, 2, -0.2, -5, -2/339? -0.2 What is the smallest value in 0.5, -3, -0.2, 256/5, 1/4, -1? -3 What is the biggest value in 3, -2, 246.379? 246.379 What is the second biggest value in 0.46, -4/5, 2.767, 2/5? 0.46 What is the second smallest value in -3, -59, -1364? -59 What is the biggest value in -4, -0.3, -1/4, -178...
{ "pile_set_name": "DM Mathematics" }
-8037 (base 12) to base 16. -362b What is -12224 (base 9) in base 3? -102020211 What is 7002 (base 12) in base 6? 132002 What is -16156 (base 9) in base 5? -323232 Convert -1301 (base 5) to base 11. -173 Convert 11001110101000 (base 2) to base 9. 20123 Convert 52bb (base 14) to base 6. 150033 What is -2a75 (base 16) i...
{ "pile_set_name": "DM Mathematics" }
ulate prob of picking 1 i and 1 l when two letters picked without replacement from {l: 5, c: 5, i: 2, o: 3}. 2/21 Four letters picked without replacement from {c: 2, v: 8}. Give prob of picking 3 v and 1 c. 8/15 Four letters picked without replacement from {c: 2, j: 4, u: 1, r: 1, d: 7}. Give prob of picking 1 d, 1 r, ...
{ "pile_set_name": "DM Mathematics" }
five decimal places? 0.00002 Suppose -2*v - 2492600 = 20*v. Round v to the nearest ten thousand. -110000 Let t = 401.65 + -433. Let k = 32 + t. What is k rounded to 1 decimal place? 0.7 Let j = 0.0618 - -0.9142. What is j rounded to two dps? 0.98 Let w be 230400*-6*(-200)/36. Suppose -w = -2*f - 10*f. What is f rounde...
{ "pile_set_name": "DM Mathematics" }
2/(-5)). Which is the nearest to 0? (a) -2 (b) h (c) 3 (d) g b Let a = -22/69 + -8/23. Let w be 10/35 + -7 + (-1245)/(-175). What is the closest to a in w, 1/2, 2? w Suppose f + 4 = 5*v, -20 = -4*v + f + 4*f. Suppose v = -z + 5 - 7. Let n = 93 - 93.4. Which is the nearest to 2/9? (a) z (b) n (c) 0.5 c Let j = -3...
{ "pile_set_name": "DM Mathematics" }
he units digit of c? 4 Let n(o) = o**3 + 43 - 4*o + o + 2*o**2 - 3*o**2 - 41. What is the units digit of n(3)? 1 Let a(q) be the first derivative of 5*q**3/3 - q**2/2 - 2*q + 2. What is the tens digit of a(2)? 1 Suppose 6*z - 3*z = -6, z = -s + 2. Let f(g) = g**3 - 4*g**2 + g. Let v be f(s). Let p(k) = 2*k + 4. What is...
{ "pile_set_name": "DM Mathematics" }
Let y(u) = -u**2 + 8*u + 64. Let l be y(v). Which is the third biggest value? (a) l (b) w (c) -0.4 a Let o = 2/351 - 236/351. Let i(t) = -t**3 + 10*t**2 - 9*t. Let s be i(9). Suppose s = -4*h - 2*h - 24. Which is the third smallest value? (a) h (b) 3 (c) o b Let j be 44/(-11726) + (6 - -4) - 10. Which is the thir...
{ "pile_set_name": "DM Mathematics" }
876 (base 10) to base 13. 28cb7 104525 (base 6) to base 11 6704 What is -247a210 (base 12) in base 9? -14366503 Convert -1d96c (base 15) to base 12. -47b03 What is -980c8 (base 13) in base 4? -1003011211 Convert -1700362 (base 8) to base 11. -306517 What is 149b8c (base 14) in base 16? af680 What is 508a47a (base 12) i...
{ "pile_set_name": "DM Mathematics" }
1 + 111 - 59 to the form p*a + u*a**2 + j and give u. 226 Rearrange (-4285 + 4994 - 2231)*(0 - x + 0) to t*x + i and give t. 1522 Rearrange (2*b + b + 6*b)*(b + 4*b - 2 - 2*b) to the form a*b + i*b**2 + f and give a. -18 Rearrange -11 - 2*m**2 + 0*m**2 + 16*m**2 - 7*m**2 - 5*m**2 to the form y + d*m**2 + u*m and give u...
{ "pile_set_name": "DM Mathematics" }
(l + 0). Solve -1 = -3*i - p + 1, x = 2*i - 3*p - 5 for i. 1 Suppose 2*j = 15*j - 65. Solve -j*d = -o - 10*d - 15, 29 = 5*o - d for o. 5 Suppose 0 = -4*x - 4*i + 44, 0 = -x + 5*x - 4*i - 20. Suppose 4*v + 6 - 18 = 0. Suppose 9 = 3*o - 3. Solve -v*t + o = -n, 2*t = t - n + x for t. 3 Let u = -7 - -11. Let c be (0 + 12)*...
{ "pile_set_name": "DM Mathematics" }
factors of ((-12)/12)/(a/(-5)). 5 Suppose 9 + 1 = -2*k. What are the prime factors of k*((-366)/(-5))/(-6)? 61 Let u(p) = -1 + 2 + 15*p - 1 - 9. List the prime factors of u(5). 2, 3, 11 Let a(k) be the second derivative of -k**5/20 + 7*k**4/12 - k**3/3 + k**2 + 20*k. Let u = 2 + 4. What are the prime factors of a(u)? 2...
{ "pile_set_name": "DM Mathematics" }
r/(1/(-64000)*-2). Round f to the nearest 1000000. -4000000 Let u = -9.3 - 66.7. Let x = 106873506.999947 + -106873431. Let s = x + u. Round s to five decimal places. -0.00005 Let v = 1299136 + -246636. What is v rounded to the nearest 100000? 1100000 Let y = 0.005 - -57.345. Round y to the nearest 10. 60 Let p = 6.028...
{ "pile_set_name": "DM Mathematics" }
Let g = -160/7 - -12626/553. Which is smaller: f or g? g Let s(m) = -m**3 + 4*m**2 - 5*m - 1. Let v be s(4). Suppose -6*d = -4*d - q + 42, -d - 5*q - 10 = 0. Which is smaller: d or v? v Let c = 2 + 9. Let r = c + -17. Let w = r + 1. Which is smaller: w or 2/3? w Let c(v) = -v**3 - 15*v**2 + 15*v - 20. Let q be (-24)/9*...
{ "pile_set_name": "DM Mathematics" }
/7) Simplify v**12/v**(-5/6)*(v*v/v**3*v*v)/(v**(6/7)/v) assuming v is positive. v**(587/42) Simplify (((x/(x**(2/11)/x*x*x))/x*x)**(-39)*x**(-4/7)/(x**(-4)/x))**32 assuming x is positive. x**(28384/77) Simplify z**3*z/((z/z**(-2/9))/z)*(z**(-3/7)*z*z*z)**(-47) assuming z is positive. z**(-7376/63) Simplify ((t/(t**(1/...
{ "pile_set_name": "DM Mathematics" }
w(h) = m*s(h) - 8*c(h). Find the first derivative of w(v) wrt v. -9*v**2 Let d(u) be the first derivative of -5*u**9/504 + 2*u**5/15 + 3*u**2 + 7. Let b(v) be the second derivative of d(v). Find the third derivative of b(p) wrt p. -600*p**3 Let x(y) = -22*y**3 + 9*y**2 + 20. Let q(t) = -11*t**3 + 4*t**2 + 10. Let c(u)...
{ "pile_set_name": "DM Mathematics" }
is -14*h(c) - 5*n(c)? 16*c**2 + 2*c - 2 Let g(n) = n**2. Let d(a) = 5*a**2 + 53*a + 2. Give d(u) + 6*g(u). 11*u**2 + 53*u + 2 Let l(q) = 10*q**2 - 13. Let c(h) = 5*h - 31. Let n be c(7). Suppose n = -0*a + 2*a. Let f(g) = -3*g**2 + 4. Give a*l(m) + 7*f(m). -m**2 + 2 Let b(m) = 1427*m + 32. Let f(w) = 1427*w + 26. Calc...
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from {j: 1, o: 1, z: 1, i: 2, s: 2, c: 2}? 1/18 What is prob of picking 2 f and 1 c when three letters picked without replacement from cfffcjcfjcjjffj? 12/91 Three letters picked without replacement from {v: 2, b: 5, i: 3, w: 2, z: 3}. What is prob of picking 1 i and 2 v? 3/455 What is pro...
{ "pile_set_name": "DM Mathematics" }
of 6800307 and 3. 3 Calculate the greatest common factor of 165600145 and 85. 85 What is the greatest common factor of 236844 and 6188? 68 Calculate the greatest common factor of 782546256 and 144. 144 Calculate the greatest common factor of 44366 and 35350. 14 Calculate the highest common divisor of 1392855 and 555. 1...
{ "pile_set_name": "DM Mathematics" }
*f + 7. Let y(t) = -5 - 2 - 7 - 3*t. Let s be y(-6). Calculate s*w(a) - 7*p(a). -2*a + 3 Let u(t) = -3*t**2 - 9*t + 3. Let g(y) = -2*y**2 - 5*y + 2. Let f(o) = -o**3 + 23*o**2 + 169*o + 138. Let a be f(29). Calculate a*g(m) + 4*u(m). 2*m**2 - m - 2 Let o(c) = -16*c + 5. Let x = 1414 + -1418. Let r(b) = 15*b - 6. Determ...
{ "pile_set_name": "DM Mathematics" }
uppose 52 = 2*q - m*q - w, -2*q = 4*w - 52. What are the prime factors of q? 2, 13 Let u(n) = -n**2 + 0*n**2 - 1 - 6*n - 2. Let k be u(-5). Suppose -8 = k*x - 28. List the prime factors of x. 2, 5 Let y(k) be the first derivative of k**3/3 - 2*k + 3. List the prime factors of y(2). 2 Suppose 44 = 5*l - 3*l. What are th...
{ "pile_set_name": "DM Mathematics" }
m + 6.1. Let r = -0.4 - h. Put 2, r, 2/3 in ascending order. r, 2/3, 2 Let t = -7.2 + 7. Sort 0.1, t, 1/2 in increasing order. t, 0.1, 1/2 Let c be -2*1 - 0 - -4. Suppose -35*z = -26*z + 45. Sort 1, c, z in ascending order. z, 1, c Let j = 0.1 - 3.1. Suppose 2*i = u + 8, 10 = 2*i - 3*u - 2. Let t be (i/2)/(9/(-12)). S...
{ "pile_set_name": "DM Mathematics" }
17 for k. 97 Solve 183219*o + 12788 = 183497*o for o. 46 Solve -9628 - 3819 - 26489 = -384*t for t. 104 Solve -2579*t = -2549*t - 2400 for t. 80 Solve -27552*j = -27401*j - 1208 for j. 8 Solve -1118 = 13455*x - 13481*x for x. 43 Solve -124*y + 2093 = 192*y - 17*y for y. 7 Solve -251*i = -6*i - 7228*i - 523725 for i. -7...
{ "pile_set_name": "DM Mathematics" }
3, x: 2, h: 6, v: 4}? 2/273 Calculate prob of sequence jww when three letters picked without replacement from {j: 10, w: 10}. 5/38 Four letters picked without replacement from zqvzpqqbcqpbzpq. What is prob of sequence bcbv? 1/16380 What is prob of sequence gg when two letters picked without replacement from gotgogs? 1/...
{ "pile_set_name": "DM Mathematics" }
r when 1398 is divided by 47? 35 What is the remainder when 8966 is divided by 30? 26 What is the remainder when 33407 is divided by 514? 511 What is the remainder when 32472 is divided by 92? 88 What is the remainder when 480 is divided by 317? 163 Calculate the remainder when 1306 is divided by 69. 64 Calculate the r...
{ "pile_set_name": "DM Mathematics" }
term of 1777, 3662, 6061, 9232, 13433, 18922, 25957? 43*q**3 - q**2 + 1587*q + 148 What is the w'th term of 102101661, 102101660, 102101659, 102101658? -w + 102101662 What is the w'th term of 1474441120, 2948882239, 4423323358, 5897764477, 7372205596, 8846646715? 1474441119*w + 1 What is the o'th term of -1607, -12506...
{ "pile_set_name": "DM Mathematics" }
6/8. Let k = 470 + -490. What is the units digit of (-4)/k + (-1122)/f? 5 Let g(r) = 3*r**2 - 103*r - 94. Let h be g(39). Suppose -b + a + h = 0, -40*b - 1352 = -43*b + 4*a. What is the hundreds digit of b? 4 Suppose 4*u = -19031 - 7129. What is the hundreds digit of (9/45)/((-4)/u)? 3 Let x = 9003 + -142. What is the ...
{ "pile_set_name": "DM Mathematics" }
+ 4*r + 78. Suppose -4*s = -x + 5. What is the greatest common factor of s and 10? 10 Let u(q) = -q**2 - 3*q + 7. Let l be u(-5). Let g be 3 + 0 + l + 10. Calculate the highest common factor of 15 and g. 5 Let q(i) = 2*i**3 - 8*i**2 - 4*i. Let n be q(6). What is the greatest common divisor of 15 and n? 15 Let d = 28 -...
{ "pile_set_name": "DM Mathematics" }
-3*q + 8 = q. Suppose -18 = -4*d - 2*s, -2*s = q*d - 6*d + 30. What is the units digit of d? 6 Let i(l) = -7*l**3 + l**2 + 2*l. Let t be i(2). Let j = -25 - t. What is the tens digit of j? 2 Suppose -z - 5 + 4 = 0. Let c = z + 34. What is the tens digit of c? 3 Let v = 119 - 110. What is the units digit of v? 9 Let v b...
{ "pile_set_name": "DM Mathematics" }
**3 + 15*c**2 + 34*c - 15. Let n be h(-12). Let d be 34/(-2)*(-10 + n). Solve -5*l + 12 = -l, 0 = 2*r - 3*l + d for r. -4 Suppose 2*v = -w + 3, -2*v + 167*w - 170*w = -9. Solve -x + 4*r = 3*r - 3, v = 3*r + 3 for x. 2 Let h be 2/(-1*1) - (10 + 26 - 57). Solve -14*x + h*x = 2*f - 6, -x + 3 = f for x. 0 Let h(b) be the f...
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from ddbibddbdiiibb. What is prob of picking 2 d and 1 b? 25/182 Three letters picked without replacement from {h: 1, m: 2, j: 1}. Give prob of picking 1 h, 1 m, and 1 j. 1/2 Three letters picked without replacement from {c: 2, s: 4}. What is prob of picking 2 s and 1 c? 3/5 Calculate ...
{ "pile_set_name": "DM Mathematics" }
/6 - 2*o. Let w(h) be the third derivative of r(h). Solve w(y) = 0. -2/3, -2/5, 0 Let h(z) = -79 + 15 + 45 - z**3 - 12*z**2 - 2*z. Let u be h(-12). Factor 1/4*b**4 + 1/4*b**u - 1/4*b**2 + 0 + 0*b - 1/4*b**3. b**2*(b - 1)*(b + 1)**2/4 Let d(a) = -a**2 - a - 4. Let p be d(0). Let f = p - -8. Solve -q**4 - 7*q**4 + f*q**4...
{ "pile_set_name": "DM Mathematics" }
j**3/3 + 16. What is m(u(l))? 16*l**2 Let l(z) = -z. Let k(u) = -1269*u**2. Give k(l(i)). -1269*i**2 Let c(l) = -l**2 - 5*l + 4. Let d = -17 + 12. Let x be c(d). Let q(m) = -5*m - m + 5*m + x*m. Let z(y) = -y**2. What is z(q(t))? -9*t**2 Let w(n) = 6*n. Let s(j) be the third derivative of j**4/24 + 11*j**2. What is s(w...
{ "pile_set_name": "DM Mathematics" }
t to 2/3? (a) -12.425 (b) 0.05 (c) 49 b Which is the nearest to -2? (a) 2/11 (b) -2/7 (c) 1590 (d) -599 (e) 0 (f) -1 f What is the closest to -15 in 9, 1/5, -8, -1/4, -19/4, -0.4? -8 Which is the closest to -1? (a) -1/1609 (b) -5 (c) -3/2 (d) -78 c Which is the nearest to -0.04? (a) 9/26 (b) 0 (c) 22 (...
{ "pile_set_name": "DM Mathematics" }
suming m is positive. m**(72/25) Simplify (v*v**0*v*v)**(19/3)/((v*v/(v**(1/2)/v))/(v/((v/((v*v**3*v)/v))/v))) assuming v is positive. v**(43/2) Simplify m/m**(8/5)*m/(m*m/((m**(-2/37)*m)/m*m*m)*m) assuming m is positive. m**(-121/185) Simplify (y**(-2))**(-13/8)/((y*y*y/(y*y**3*y))/y**(-2/3)) assuming y is positive. y...
{ "pile_set_name": "DM Mathematics" }
3, 2/5 Let k(x) = x**3 - 6*x**2 + 7*x - 8. Let j = 43 - 38. Let q be k(j). Find n such that -3/2*n**q - 3*n + 0 = 0. -2, 0 Let c(m) = 10*m**5 + 2*m**4 - 39*m**3 - 31*m**2 + 409*m + 9. Let k(j) = -j**5 - j**2 - j - 1. Let a(q) = 2*c(q) + 18*k(q). Suppose a(r) = 0. Calculate r. -5, 0, 4 Suppose -2*c = 2*g - 9 + 5, 0 = -3...
{ "pile_set_name": "DM Mathematics" }
2674 = 4*a. Suppose -5*r - 5*n = -a, -r - 3*n - 2*n + 67 = 0. Calculate the remainder when r is divided by 24. 20 Let z = -2563 - -2579. Calculate the remainder when 122 is divided by z. 10 Let p(a) = -a**2 - 22*a - 21. Let v = 80 - 40. Suppose 54*x = 59*x + v. What is the remainder when p(x) is divided by 19? 15 Let ...
{ "pile_set_name": "DM Mathematics" }
. 8 Suppose 3*a = -5*i + 44, -i + 3*a = 8*a. Let t(j) = j**3 - 11*j**2 - 15*j + 4. Let u be t(12). Let s = u + 54. What is the least common multiple of s and i? 110 Find the common denominator of (-30)/((-66)/154 + 1875/63) and -151/66. 132 Calculate the common denominator of (11/(-2))/(-1 - 14 - -7) and -83/2. 16 Let ...
{ "pile_set_name": "DM Mathematics" }
terms in -837*f**2 + 3147*f**3 + 837*f**2. 3147*f**3 Collect the terms in 71*g**2 - 20*g**2 - 23*g**2 - 24*g**2 - 18*g**2 + 8*g**3. 8*g**3 - 14*g**2 Collect the terms in 29*a**3 + 23*a**3 - 33*a**3 + 24*a**3 - 4*a**3 - 38*a**3. a**3 Collect the terms in -12*f**3 + 2*f**2 - 3*f**2 + f**2 - 14*f**3. -26*f**3 Collect the ...
{ "pile_set_name": "DM Mathematics" }
05 Let w(y) = -5750*y + 201268. What is w(35)? 18 Let o(p) = -3515*p - 1185. Calculate o(-1). 2330 Let h(v) = -2*v**3 + 38*v**2 - 88*v + 522. Determine h(17). 182 Let c(p) = p**3 + 20*p**2 + 10580*p + 222610. What is c(-21)? -11 Let i(b) = -b**3 + 103*b**2 - 1700*b - 1821. Give i(82). -17 Let o(y) = -12*y**2 - 161*y + ...
{ "pile_set_name": "DM Mathematics" }
-72 - -102. Suppose 5*j = 4*j + 75. Calculate the greatest common factor of j and l. 15 Let x be (3 - 351/5)*(-40)/12. What is the highest common divisor of 7 and x? 7 Let y(c) = 39*c - 27. Let d be y(9). Let t = d - 198. Calculate the greatest common factor of t and 14. 14 Let j(a) = a**2 + 7*a + 12. Let y be j(8). Su...
{ "pile_set_name": "DM Mathematics" }
4*s + 4*z, -i*z = 4*s + 3 + 17 for s. -2 Let k = -741 + 747. Solve -h = -6*m + 4*m - k, -h = -3*m - 11 for m. -5 Let o = 9 - 7. Suppose 0 = -o*j + 5*f + 23 + 27, -3*f = -12. Suppose -5*x - h + 3*h = -5, j = 5*x + 4*h. Solve -5*y - 5 = -3*m, 2*m + x*y = -0*y - 3 for m. 0 Suppose 57*b - 77*b + 120 = 0. Solve 3*f = f - o ...
{ "pile_set_name": "DM Mathematics" }
Let w(n) = 3*n**2 + 183*n - 185. What is w(-63)? 193 Let n(h) = 2*h**3 - 85*h**2 + 411*h - 147. Calculate n(37). 1 Let g(m) = -1400*m + 793803. Determine g(567). 3 Let h(x) = -37069*x - 259451. What is h(-7)? 32 Let y(q) = -217*q**2 - 482*q + 1930. Calculate y(4). -3470 Let d(x) = 1152*x**2 + 681*x - 460. Calculate d(...
{ "pile_set_name": "DM Mathematics" }
Which is the second smallest value? (a) -5 (b) -0.16 (c) 76 (d) 27 (e) 9 b What is the seventh smallest value in -29, 3, -4460, -1/8, -0.3, 0.2, -1/4? 3 Which is the third smallest value? (a) 2.7 (b) 0.4 (c) 32 (d) 773/55 d Which is the smallest value? (a) -5 (b) -0.11 (c) -16 (d) -0.4 (e) 10495 c Which i...
{ "pile_set_name": "DM Mathematics" }
t is the closest to 2/5 in 1/2, 1/4, z? 1/2 Suppose -d = -4*k, 0*k = -3*k + 3*d. Which is the nearest to k? (a) 3 (b) -0.02 (c) -1/6 b Let p = 71 - 70. What is the closest to 0 in -0.1, 0.3, p? -0.1 Let b = 8 - 9. Let u be ((-7)/7)/(b - 2). What is the nearest to -0.1 in 2/21, u, -1/2? 2/21 Let k(n) = n**3 + 6*n**2 ...
{ "pile_set_name": "DM Mathematics" }
17*j(u). u**2 + 6 Let l(h) = h**2 + 10*h - 59. Let y(b) = 3*b. Calculate -l(q) + 4*y(q). -q**2 + 2*q + 59 Let k = -22064 + 22036. Let f(g) = -8*g - 14. Let s(c) = 14*c + 14. Let h(a) = -5*a - 5. Let w(q) = 11*h(q) + 4*s(q). Determine k*w(j) - 2*f(j). -12*j Let r be 2244/442 - ((-54)/(-26) - 2). Let u(x) = 3*x**2 - 14*...
{ "pile_set_name": "DM Mathematics" }
f -8*t**4 - 4*t**4 + 6*t**2 - t**4 + v*t**4 wrt t? -168*t Let k(q) be the second derivative of 0 + 2*q + 0*q**2 - 1/3*q**3 + 3/20*q**5 + 0*q**4. Find the second derivative of k(l) wrt l. 18*l Let o be (16/1)/(-5 + 6). Let c be 18/8 - 4/o. Find the second derivative of -k + k + k + k**c wrt k. 2 Suppose 0 = w - 6*k + k ...
{ "pile_set_name": "DM Mathematics" }
-0*u. Let l = u - 63. Is l a composite number? True Suppose -4*x + 0*o - 33 = -5*o, -18 = -x - 4*o. Let t(s) = -s - 1. Let q be t(x). Is (-2)/(4/(-110))*q prime? False Suppose 0*h = -h + 382. Is h a prime number? False Let k be 6 + (-3 + 1)*1. Suppose 20 = k*x - 8. Is x a prime number? True Let y = 3 + -1. Let u be (-...
{ "pile_set_name": "DM Mathematics" }
the hundreds digit of l? 2 Let i be (-85)/(-15) + -6 - (-272)/6. Suppose -3*f + 6 + 24 = w, -i = -4*f - 3*w. What is the units digit of f? 9 Let b = 103 - 119. Let x = 242 + b. What is the hundreds digit of x? 2 Let h = -2289 - -3243. What is the units digit of h? 4 Let c be 44/(-33)*6/(-4). Suppose -2*k = 5*g + 14, 4*...
{ "pile_set_name": "DM Mathematics" }
- 22 - -48 - 25. 4 What is 77 + (-10 + 24 - 63)? 28 What is 61 + -8 + -1 + -26? 26 What is the value of -1 + 7 - (-14 - (16 - 10) - 7)? 33 Calculate ((-10 - -18) + -6 - 17 - 5) + 2. -18 What is -20 - (16 - 15 - 17) - -17? 13 What is 7 - ((8 - 8) + 17 + -29 + -2)? 21 What is (17 + -3 - (46 - 32)) + (-1 - -8)? 7 What is...
{ "pile_set_name": "DM Mathematics" }
+ 867395 = 24*z + 867429 for a. 7 Solve 3*d - 8407*h - 9 = -8409*h, 0 = -5*d - 2*h + 15 for d. 3 Solve 0 + 28 = 7*q + 15*o - 28*o + 8*o, q - 5*o - 4 = 0 for q. 4 Solve r = -5*t - 17, 49*r = -18*r - 30*r - 48*t + 54*t + 806 for r. 8 Solve 17 - 3 = g, 3*r = 799*g - 802*g + 54 for r. 4 Solve -1012*g + 4*o = -1010*g - 140...
{ "pile_set_name": "DM Mathematics" }
125/12 and g. 48 Let d = -45 - -429/8. Let g(z) = z**3 - 10*z**2 + 13*z - 9. Let w be g(9). Let i = w - -3. Find the common denominator of d and i. 8 Let g(w) = 6*w - 6. Suppose 4*p = -3*t - 8, -3*p - 5 = -0*p + 2*t. Let q(s) = -s. Let r(z) = p*g(z) + 5*q(z). What is the least common multiple of 4 and r(9)? 12 Let m(i)...
{ "pile_set_name": "DM Mathematics" }
j when three letters picked without replacement from lmmnnmmnjnj. 4/495 Calculate prob of sequence rnry when four letters picked without replacement from {r: 3, c: 3, y: 2, e: 4, n: 4}. 1/910 Four letters picked without replacement from {h: 2, l: 2, d: 7}. Give prob of sequence lldh. 7/1980 Two letters picked without r...
{ "pile_set_name": "DM Mathematics" }
2)). -2/9 What is (-22)/8 + 11/(-44)? -3 Evaluate (-120)/(-540)*(-54)/(-10). 6/5 Evaluate (0 - -7) + (-270)/40. 1/4 Calculate (-330)/(-54) + -3 + -3 + 0. 1/9 What is 4/14 + 14/(196/(-74))? -5 Calculate 20/(-105)*(-14)/12. 2/9 What is the value of 4*(-1 + 81/78)? 2/13 What is the value of (4/42)/(12/14)? 1/9 Calculate (...
{ "pile_set_name": "DM Mathematics" }
e third derivative of 3*p**r - 3*p**2 + 4*p**2 + 2*p**2 wrt p? 180*p**2 Let t be 8/6 + (-2)/(-3). Suppose 2*y + 8 = t*x, 0*y - y - 20 = -5*x. Find the second derivative of f + 3*f**4 - 5*f**x - 3*f wrt f. -24*f**2 Let s(b) be the third derivative of -b**8/24 - 7*b**4/12 + 16*b**2. What is the second derivative of s(g) ...
{ "pile_set_name": "DM Mathematics" }
- 3)*-3. Let z(p) = -10*p**2 + y*p**2 - p**2. Let w(v) = -2*v. Determine z(w(s)). -32*s**2 Let s(r) = -11*r. Let j(v) be the third derivative of v**4/8 + 23*v**2. What is j(s(i))? -33*i Let l(y) = 58*y. Let q(d) = -2*d**2. What is q(l(i))? -6728*i**2 Let p(a) = 8*a. Let c(h) = -h. Let u(i) = -6*c(i) - p(i). Let w(g) be...
{ "pile_set_name": "DM Mathematics" }
r*l(g) + w*p(g). -g Let i(f) be the third derivative of -f**4/24 - f**3/6 + f**2 + 716. Let l(j) = -11*j + 5. Give -6*i(a) - l(a). 17*a + 1 Let x(w) be the first derivative of -7*w**2/2 - 4*w + 2. Let m(z) = 2 - 17 + 50538*z + 50522*z - 101087*z. Give 4*m(v) - 15*x(v). -3*v Let c be 973/15290*-55*3*(-10)/21. Let a(y) ...
{ "pile_set_name": "DM Mathematics" }
+ 17 What is the n'th term of -132, -460, -982, -1698? -97*n**2 - 37*n + 2 What is the z'th term of 946, 902, 830, 730, 602, 446? -14*z**2 - 2*z + 962 What is the o'th term of -74, -92, -100, -92, -62, -4, 88, 220? o**3 - o**2 - 22*o - 52 What is the g'th term of -345, -665, -939, -1143, -1253, -1245, -1095? 4*g**3 - ...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {p: 11, n: 9}? 99/190 What is prob of picking 1 o and 2 t when three letters picked without replacement from {c: 1, o: 1, t: 2, v: 1, h: 2}? 1/35 Two letters picked without replacement from {q: 8, w: 5}. Give prob of picking 2 w. 5/39 Three letters picked without replacement from ccbbsc...
{ "pile_set_name": "DM Mathematics" }
lculate the common denominator of -145/18 and 9*2/(-6) - 381/18. 18 Let d(o) = -o**2 - 6*o + 75. Let r(c) = 17*c**2 + 1. What is the smallest common multiple of d(-12) and r(-1)? 18 Suppose -8*w + 2*v = -4*w + 20, -2*w = 3*v + 2. Let m be (3 - (-14)/w)*8. Find the common denominator of m/(-6) + (-183)/(-36) and 76/21. ...
{ "pile_set_name": "DM Mathematics" }
What is (10/(-35))/((-20)/350)? 5 What is the value of 52/130*10/4? 1 Evaluate 5/((-7)/((-168)/30)). 4 (((-20)/(-4))/5)/1 1 Calculate (-2)/(-7*(-5)/35). -2 Evaluate (-7)/21*18/(-15). 2/5 ((-6)/(144/56))/((-2)/(-3)) -7/2 Calculate -6*(63/(-9))/(-7). -6 Evaluate ((-18)/15)/(2/(-5)). 3 What is the value of ((-2)/(-2)*-1)/...
{ "pile_set_name": "DM Mathematics" }
der. v, 4, p Let p be ((-6)/(-4))/(48/64). Put p, -72, -5 in increasing order. -72, -5, p Let k = 1 + -1. Suppose v + v = k. Suppose s - 2*h + 1 = 2, -5*s = 2*h + 19. Put v, s, -5 in decreasing order. v, s, -5 Let i(k) = -k**2 + 5 + 0 + 4*k + k. Let j be i(5). Let d be (4 + 1)*-1*1. Put -1, j, d in descending order. j,...
{ "pile_set_name": "DM Mathematics" }
2 + (-2)/2 + 1653. Suppose -4*l - l + o = k. Is l a multiple of 44? False Let f = 12601 - 6471. Is f a multiple of 13? False Let x(i) = -26 + 28*i + 29*i + 11*i + 217*i**2 - 220*i**2. Is 5 a factor of x(18)? False Let i(r) = r**2 + 13*r + 24. Let c be i(-11). Let s be (c/(-3))/((-6)/441). Suppose 2*t - 15 - s = 0. Is t...
{ "pile_set_name": "DM Mathematics" }
= -l. Let w(b) = 7*b. Let c(k) = -14*j(k) - w(k). Let q(o) = 11*c(o) - 6*h(o). Let v(n) = 1 - 1 - 3*n. Calculate v(q(d)). 3*d Let s(i) = 6*i - i + 6*i - 9*i. Let f(n) = 3*n. Give f(s(m)). 6*m Let p(v) = -5*v**2. Let t(d) = 29*d. What is p(t(i))? -4205*i**2 Let t(z) = 3*z. Let n(o) be the third derivative of -o**5/40 + ...
{ "pile_set_name": "DM Mathematics" }
se Let g = -98 - -71. Let z = 31 + g. Let q = 62 - z. Does 13 divide q? False Let f be 18/(-2 - (-321)/156). Let l = f - 72. Does 20 divide l? True Let q be (-58)/580 - (-21)/10. Suppose q*p - 156 = 3*a, 8 = 2*a - 0. Does 12 divide p? True Suppose c = 5*c - 3*b - 5721, 2*b + 2860 = 2*c. Let q = c + -40. Is 13 a factor ...
{ "pile_set_name": "DM Mathematics" }