text
stringlengths
270
8.19k
meta
dict
28 + 28. Does 1/36 = r? False Let h = 19 - 19. Which is smaller: 1.1 or h? h Let v = -14 - -14.27. Is 0 greater than v? False Let s = -29 + 33. Suppose 0*g + 4*g = 0. Suppose g = s*i + 2*p - 8, 1 = 5*i + 2*p - 8. Is i <= 2/9? False Suppose 0*x = -2*a + 2*x + 10, 5*a - 25 = 3*x. Suppose a = 5*p, 6*h - 26 = h + 4*p. Whic...
{ "pile_set_name": "DM Mathematics" }
te the remainder when (10/6)/((-35)/(-1260)) is divided by 7 + z + 15*1. 12 Let l(p) = 4*p**2 - 3*p + 8. Let c = 21 + -19. What is the remainder when l(c) is divided by 10? 8 Suppose 3*y - 416 = 361. Calculate the remainder when y is divided by 29. 27 Let f = -17 + 1. Let b = f + 16. Suppose 14 = -2*p - 5*z, b = -2*p -...
{ "pile_set_name": "DM Mathematics" }
greatest common divisor of k and z. 1 Let c = -19 - -22. Suppose -c*y = -0*y + 57. Let b = 31 + y. Calculate the highest common factor of 12 and b. 12 Suppose 0 = -5*y + h + 2794, 1901 + 336 = 4*y + h. What is the greatest common factor of y and 13? 13 Let x(u) = -36*u + 122. Let m be x(-8). What is the greatest commo...
{ "pile_set_name": "DM Mathematics" }
)*c)*c)**46) assuming c is positive. c**(-1223/63) Simplify ((p**1/p**(-1))/(p**(2/7)/p*p)**(-21))/((p/p**(2/5))**(26/5)/((p**2*p)/(p**(1/8)*p))) assuming p is positive. p**(1351/200) Simplify ((((c**(-3/16)/c)/c**(-24))**(1/8))**28)**(-4/3) assuming c is positive. c**(-2555/24) Simplify p*p**(1/5)/p*p*p**(-39)/p*(((p*...
{ "pile_set_name": "DM Mathematics" }
-93? -93 Let t = 287 + -283. Suppose 19 - 23 = -t*k. Which is greater: k or 1/194? k Let w be (12685470/108)/(-29) - (-10)/(-45). Are -4050 and w nonequal? True Suppose 5*n = -q + 23, 5*n + 5 = 4*q + 13. Let g be 6/(-7)*(-1218)/q. Let y be 1 + g/(-410) + (-19)/95. Which is smaller: y or 0? y Suppose -4*s = 12, -26*x +...
{ "pile_set_name": "DM Mathematics" }
0 Solve 1537*w - 1589*w - c - 250 = 0, 5*w = 3*c - 55 for w. -5 Solve 6*h + 518433*w + 13 = 518434*w, w = 2*h + 1 - 0 for h. -3 Solve 4*f + 7*r = -43, -32 + 57 = -7*f + r + 16 for f. -2 Solve -52*j + z + 21 = -29*j - 21*j, 15 = -3*z for j. 8 Solve 8 = -24925*n + 24929*n - o, 0 = -4*o - 16 for n. 1 Solve -20*i + w - 360...
{ "pile_set_name": "DM Mathematics" }
12 and 16330 equal? False Do 1172621 and 1172623 have the same value? False Which is smaller: -1 or -265672? -265672 Which is smaller: 49/867025 or -1? -1 Which is greater: -68562 or -67900? -67900 Do 65705801 and 65705801 have different values? False Is 101367726 greater than or equal to 101367724? True Is -0.015314 !...
{ "pile_set_name": "DM Mathematics" }
45*v - 6213. Calculate b(-14). 17 Let z(l) = -l**2 + 25*l + 153. Calculate z(-5). 3 Let v(b) = 10*b**3 - 6*b**2 + b + 3. Determine v(-1). -14 Let q(j) = 2*j**3 + 11*j**2 + 12*j + 11. Determine q(-4). 11 Let a(i) = i**3 + 73*i**2 - 236*i - 6. What is a(3)? -30 Let j(t) = -t**3 - 8*t**2 + 17*t + 98. What is j(-5)? -62 Le...
{ "pile_set_name": "DM Mathematics" }
er. 2, 1, z Let p(o) = -o**2 + 5*o + 3. Let j be p(5). Suppose -2*z - 3*v - j = 0, z + v - 9 = 2*z. Sort z, 5, -4 in decreasing order. 5, -4, z Suppose 0 = -2*x - 1 - 9. Suppose 0 = 8*i - 202 - 134. Suppose -i*y - 7 = -35*y. Sort x, y, 4. x, y, 4 Let z = 79 - 73. Put -1, z, 4 in ascending order. -1, 4, z Let f = 7.79 -...
{ "pile_set_name": "DM Mathematics" }
r be j(w). Is 78 - (-3)/6*r a multiple of 30? False Let u = -1 + 5. Let y be (-1)/(-2)*(-8 + u). Let g = 38 + y. Does 14 divide g? False Suppose -17*t + 144 = -6486. Is t a multiple of 13? True Is ((-1)/(-4)*18)/(31/682) a multiple of 9? True Is 15 a factor of (86 - -20) + 1/(-1)? True Let u = 73 + -63. Suppose u*p - 1...
{ "pile_set_name": "DM Mathematics" }
k*c(i) - 5*b(i). i Let y(k) = k - 1. Let f(a) = a**3 - 3*a**2 + 9*a - 20. Let x be f(3). Suppose x*c = -c + 8. Let l(p) = 5*p - 2. Determine c*l(s) - 4*y(s). s + 2 Let s(z) = -42*z**2 - 146*z + 8. Let a(h) = 54*h**2 + 144*h - 10. What is -4*a(r) - 5*s(r)? -6*r**2 + 154*r Let w be (112/(-40))/(4/(-30)). Suppose -w*d - 2...
{ "pile_set_name": "DM Mathematics" }
9, f, v Let k = -77 + 46. Let m(d) = -2*d**2 + 43*d + 90. Let n be m(24). Let h = n - k. Sort h, -15, 0 in descending order. h, 0, -15 Let o = -359 + 291. Let v = 148 - 76. Let h = o + v. Put -3/16, h, -0.3 in increasing order. -0.3, -3/16, h Suppose 24*g + 65 = 11*g. Sort g, 284, 0, 1 in descending order. 284, 1, 0, g...
{ "pile_set_name": "DM Mathematics" }
= 12 - 8. Let j = 1 + a. Let s(u) = -u + 11. Give s(j). 6 Let p(i) = -i**2 - 5*i - 2. Let d be p(-4). Let z(o) = -o**d + 3*o + 1 + o + 2. What is z(4)? 3 Let k(d) be the second derivative of 3/2*d**2 + 0 + 7*d - 1/6*d**3. Suppose -3*f + 46 - 8 = -4*b, -3*f + 8 = 2*b. What is k(f)? -3 Let k(r) = r**2 + r + 4. Let y = 1...
{ "pile_set_name": "DM Mathematics" }
53 = 10*h - 9083. What are the prime factors of h? 19, 37 Let y = -294 - -206. List the prime factors of ((-56)/(-32))/((-2)/y). 7, 11 Let i = -27 - -40. Suppose 4*w + 108 = 4*u, -35 - i = -2*u + 4*w. Let h = u + 3. What are the prime factors of h? 3, 11 Let w be (3 - -5)*(-10)/(-8). Suppose 5*q + 80 = w. Let n = 18 + ...
{ "pile_set_name": "DM Mathematics" }
te ((-7)/7*3)/3*6. -6 What is 7/((-6)/66*11)? -7 2*1*-7*(-93)/434 3 Calculate ((-16)/24)/(((-58)/60)/(-29)). -20 What is the value of (-7)/(-285)*-5*1/42*-9? 1/38 Calculate (-1)/(128/40)*(-4)/(-20). -1/16 What is the value of (-55)/(990/324)*5/10? -9 What is the value of (-3)/((4/(-8))/(2/45*5))? 4/3 Evaluate -35*(-5)/...
{ "pile_set_name": "DM Mathematics" }
he form q*v**2 + j*v**3 + x + a*v and give j. -5662 Express n - 83 + 156 - 84 in the form f*n + w and give w. -11 Rearrange (-q - 2*q + q + 2)*(9*q - 8*q - 32*q) + 10 - 10 - 2*q**2 to h + c*q + y*q**2 and give y. 60 Rearrange ((-3*p - 3*p + 4*p)*(6 - 6 + 1) - 5*p + 4*p + 0*p)*(9*p + 0*p - 3*p)*(3*p - 3*p - p) to v*p**2...
{ "pile_set_name": "DM Mathematics" }
*w + 13 = -l. Let a = c - 26. List the prime factors of a. 11 Let w(r) = 9*r**2 - 2*r + 2. Let h be w(1). Let t = h + 0. List the prime factors of t. 3 Let x(h) = -h - 4. Let c be x(-7). Suppose -2*q - c*q = -110. Suppose 2*d + 2*o - q = -2*d, -d - 2*o = -1. What are the prime factors of d? 7 Let a = 36 + -21. Let z be...
{ "pile_set_name": "DM Mathematics" }
erivative of 0*z - 1 + 1/12*z**4 + 0*z**3 - 1/6*z**2. Solve f(n) = 0 for n. -1, 0, 1 Let l(i) be the second derivative of 1/7*i**2 + 0 + 2/21*i**3 - 13*i + 1/42*i**4. Factor l(s). 2*(s + 1)**2/7 Suppose 3*h - 4*h - 2*s = 0, h + 5*s = -6. Factor -1/4*y + 0 + 1/4*y**3 + 1/4*y**h - 1/4*y**2. y*(y - 1)*(y + 1)**2/4 Let f b...
{ "pile_set_name": "DM Mathematics" }
et z(x) = -4*x. Let t(j) = 131*j**2 - 2427*j. Let o(h) = -30*h**2 + 560*h. Let f(y) = 35*o(y) + 8*t(y). What is f(z(v))? -32*v**2 - 736*v Let p(g) = 191*g. Let s(y) = 48*y. Let o(i) = 1169*i. Let c(l) = 2*o(l) - 49*s(l). Determine p(c(v)). -2674*v Let l(u) = 1843*u - 2. Let g(p) = 45*p + 13. Calculate g(l(r)). 82935*r ...
{ "pile_set_name": "DM Mathematics" }
Let d be (-1)/2*3/(12/(-16)). Is (-60)/h*(4 - d) a multiple of 12? True Let x = 481 + -459. Suppose -h + 25*t + 939 = x*t, -3*t = 3*h - 2805. Does 18 divide h? True Let p = 11194 + 277. Is 84 a factor of p? False Suppose -4 = -2*t + 38. Let o(h) = t - h**3 + 0 + 19*h - 19*h**2 + 2*h**3. Is 13 a factor of o(18)? True Le...
{ "pile_set_name": "DM Mathematics" }
Let b(w) be the first derivative of 2/3*w - 1 + 1/9*w**3 + 1/2*w**2. Factor b(g). (g + 1)*(g + 2)/3 Let y(w) be the third derivative of 0 + 2*w**2 + 0*w - 1/150*w**5 + 1/60*w**4 + 0*w**3. Determine r, given that y(r) = 0. 0, 1 Let r(g) be the first derivative of -1/6*g**4 - 4 + 2/3*g**3 + 2*g - g**2. Let v(i) be the fi...
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? -8 Let s = 6444 + -6375.6. Let i = -1.21 + -76.79. Let b = i + s. Round b to the nearest integer. -10 Let b(l) be the second derivative of -l**4 - 2*l**3 + 17*l**2/2 - 26*l - 1. Let y be b(-11). What is y rounded to the nearest one hundred? -1300 Let s be 36/33 + 173413094/1727. What is s rounde...
{ "pile_set_name": "DM Mathematics" }
es after 11:04 PM? 4:32 AM How many minutes are there between 1:44 PM and 6:39 PM? 295 What is 337 minutes after 11:18 PM? 4:55 AM What is 607 minutes before 9:54 PM? 11:47 AM How many minutes are there between 8:15 PM and 2:40 AM? 385 How many minutes are there between 11:47 AM and 6:31 PM? 404 What is 144 minutes aft...
{ "pile_set_name": "DM Mathematics" }
*f**2 + t*f and give s. 139 Rearrange ((-2*y - 8*y + 2*y)*(3 + 5 - 5) - 8*y + 6*y - 7*y)*(-2 + 2*y + 2) to v + x*y + o*y**2 and give o. -66 Express -1 + 1 - 2*t**2 + (-6*t + 4*t + t)*(-3*t + 2*t + 2*t) - 1 + 1 + t**2 + 295*t**2 - 102*t**2 + 159*t**2 as k + c*t**2 + u*t and give c. 350 Rearrange -1 + 2 + m**2 - 3 + (106...
{ "pile_set_name": "DM Mathematics" }
a) q (b) p (c) u a Let w = 8 + -5. Let l = -0.09 - -0.19. Which is the closest to l? (a) -3/2 (b) w (c) -0.2 c Let l = 142 + -146.08. Let z = l + 0.08. Let a = -3 - -3. What is the nearest to a in z, 5, 2/15? 2/15 Let d = -45 + 49. Which is the closest to -0.1? (a) 0 (b) 5 (c) d a Let v be 1*(-2)/(-10 - -2). Le...
{ "pile_set_name": "DM Mathematics" }
e j(6). Suppose -4*a = -36 - k. Solve 8 = 5*r - a for r. 4 Let t be (5 - 4) + 3 + 6/(-2). Solve -f - t + 5 = 0 for f. 4 Suppose 33*w + 20 = 38*w. Solve -w*u + 15 = -5 for u. 5 Let j(m) = -3*m**2 - 4*m + 0*m + 2*m**2 + 0*m**2. Let q be j(-3). Solve -q*t = -4*t + 1 for t. 1 Let i be 2/7 - 26/(-7). Let k(n) = n**2 - 3*n -...
{ "pile_set_name": "DM Mathematics" }
18 Find q, given that q**3/5 - 141*q**2/5 + 1320*q - 20500 = 0. 41, 50 Determine u so that 256*u**4 + 4672*u**3 + 10756*u**2 - 96360*u + 108900 = 0. -11, 15/8 Factor -h**4 - 20*h**3 - 83*h**2 - 124*h - 60. -(h + 1)*(h + 2)**2*(h + 15) Factor -3*r**5 + 12*r**4 - 3*r**3 - 30*r**2 + 12*r + 24. -3*(r - 2)**3*(r + 1)**2 Fac...
{ "pile_set_name": "DM Mathematics" }
+ d*s + 2*o**2*s wrt o? -6*d*s - 1686*d + 4*s What is the first derivative of -c*l*w - 58*c*l + 2*c*w + 4*c + 91*l*w - 8690*w - 10 wrt l? -c*w - 58*c + 91*w Differentiate 5010*d**2*y + 35*d**2 + 128*d*y**2 - d + 3252 with respect to y. 5010*d**2 + 256*d*y Find the second derivative of 62376*o**3 - 96109*o wrt o. 37425...
{ "pile_set_name": "DM Mathematics" }
*y(u). u - 11 Let a(k) = 10*k - 5. Let x(o) be the first derivative of -9*o**2/2 + 4*o + 69. Determine 3*a(s) + 4*x(s). -6*s + 1 Let i(k) = k + 3*k + 14 - k - 9 - 11*k. Let o(g) = -20*g + 12. Let c = -10 - -15. Suppose -w = -0*w + c. What is w*o(v) + 12*i(v)? 4*v Let l = -93 + -23. Let s = l - -124. Let f(d) = -5*d - 2...
{ "pile_set_name": "DM Mathematics" }
2 + 28*h - 10 What is the u'th term of 96, 92, 88? -4*u + 100 What is the s'th term of 45, 89, 135, 183, 233, 285, 339? s**2 + 41*s + 3 What is the k'th term of -25, -15, 3, 29, 63? 4*k**2 - 2*k - 27 What is the p'th term of -673, -682, -695, -712? -2*p**2 - 3*p - 668 What is the t'th term of -3, -123, -445, -1071, -21...
{ "pile_set_name": "DM Mathematics" }
(-6)*(-21)/1. Suppose 0 = 5*b + 3*s + o, 0*s = 2*b - s + 5. Let p = 1083048.4 - 1083049. What is the third smallest value in 5, p, b? 5 Suppose 0 = 54*o - 55*o - 2*l + 8, -o + 3*l - 12 = 0. What is the fourth biggest value in -3, 10, o, -223? -223 Let a = 520 - 1069. Let k = -549 - a. What is the biggest value in k, 7....
{ "pile_set_name": "DM Mathematics" }
-1? -10 Calculate -49 + (101 - 45) + 20. 27 (-45 - (0 + 2)) + 12 + 1 -34 What is -388 + 457 + (-19 - -2)? 52 Evaluate -10 + -33 - (-2 + -2 + 7 - -10). -56 -23 + (-90 + 77 - (4 + -71)) 31 What is 12 - (-4 - (9 - (-8 + (21 - -3))))? 9 Calculate 65 - 1 - ((18 + -39 - -62) + -45). 68 Calculate (879 - 952) + (7 - 2 - 25). ...
{ "pile_set_name": "DM Mathematics" }
nder when 39833 is divided by 74. 21 Calculate the remainder when 3527 is divided by 501. 20 What is the remainder when 57597 is divided by 447? 381 What is the remainder when 16197 is divided by 424? 85 What is the remainder when 8996 is divided by 896? 36 Calculate the remainder when 23283 is divided by 1455. 3 What ...
{ "pile_set_name": "DM Mathematics" }
584*h/19 - 1882944 = 0. -235368, 76 Suppose l**5/4 - 5003*l**4/4 + 3750*l**3 = 0. Calculate l. 0, 3, 5000 Find k such that 3*k**5/4 + 142887*k**4/4 + 285705*k**3/4 - 2714799*k**2/4 - 714405*k = 0. -47627, -5, -1, 0, 4 Find x such that x**5 - 18857*x**4 + 169660*x**3 - 527780*x**2 + 678544*x - 301568 = 0. 1, 2, 4, 18848...
{ "pile_set_name": "DM Mathematics" }
the w'th term of -77, -84, -95, -110, -129, -152? -2*w**2 - w - 74 What is the i'th term of -16, -47, -78? -31*i + 15 What is the s'th term of -39, -72, -105, -138, -171, -204? -33*s - 6 What is the z'th term of 42, 33, 26, 27, 42, 77, 138? z**3 - 5*z**2 - z + 47 What is the a'th term of -22, -26, -40, -70, -122, -202...
{ "pile_set_name": "DM Mathematics" }
12 = -4*r for p. 0 Solve -3*p - 2*z + 3*z + 46 = 0, -41 = -3*p + 2*z for p. 17 Solve 29*y - 33 = 3*t + 45*y, -10 = t + 5*y for t. 5 Solve -6*s + 56 = 5*b + 32, -16 = -3*b - 4*s for b. 0 Solve -2*g = 4*w - 38, -39 = -3*g - 1106*w + 1102*w for g. 1 Solve 2*o = -4*s + 12, -60*o - 15 = -55*o + s for o. -4 Solve 0 = -4*g + ...
{ "pile_set_name": "DM Mathematics" }
/1872). 7/2 What is the value of (18/(-40))/((2961/(-13160))/((-3)/5))? -6/5 Calculate (-140)/(-360)*48 - 19. -1/3 Evaluate (-1)/(38/(-209) + 146/(-44)). 2/7 What is (-422)/38 - (-19 - (-6462)/342)? -11 Evaluate 1/61 - (-450648)/16104. 28 Evaluate -11*(18 + (-23 - -7)). -22 What is (-57 - -1)*87/((-28536)/205)? 35 Calc...
{ "pile_set_name": "DM Mathematics" }
rue Is 3220 a multiple of 14? True Does 13 divide 312? True Is 84 a multiple of 12? True Is 18 a factor of 2121? False Is 9 a factor of 585? True Does 57 divide 171? True Is 3 a factor of 147? True Does 197 divide 22458? True Is 27 a factor of 26236? False Is 40 a factor of 2360? True Is 10447 a multiple of 4? False Do...
{ "pile_set_name": "DM Mathematics" }
305 Work out 6 * -9. -54 Work out 14709 * -5. -73545 Work out 5.75 * -4. -23 Multiply 605 and 3. 1815 Multiply -5.93 and 0.6. -3.558 Product of -11473 and 4. -45892 -0.477 times -0.071 0.033867 Product of 0.4 and 423. 169.2 Product of -0.7 and -4603. 3222.1 Multiply -0.448 and 4. -1.792 Calculate 15941*0. 0 8 * -0.5 -4...
{ "pile_set_name": "DM Mathematics" }
= 4*n**3 + 38*n**2 - 25*n - 57. Determine q(-10). -7 Let o(s) = s**2 + 46*s - 126. Give o(-50). 74 Let w(p) = -4*p - 260. Calculate w(-19). -184 Let g(m) = -m**3 + 3*m**2 + 20*m + 13. Determine g(6). 25 Let t(b) = 10*b**2 + 7*b - 29. Give t(4). 159 Let s(f) = -23*f**2 - 3*f - 5. Calculate s(-2). -91 Let i(w) = w**3 + 5...
{ "pile_set_name": "DM Mathematics" }
- 2. Let x(f) = 37*f + 30*f - 66*f. Let h(b) = w*q(b) - 4*x(b). Let i(v) = 4*v - 11. Calculate -5*h(j) - 3*i(j). -2*j + 3 Let c(b) = b - 6. Let t = 45 + 0. Let x(d) = t - 3*d + 5*d - 58. Let v(k) = -3*k + 2. Let q be v(2). Give q*x(p) + 9*c(p). p - 2 Let y(h) = 186*h - 11. Let a(n) = 2. What is -5*a(s) - y(s)? -186*s ...
{ "pile_set_name": "DM Mathematics" }
rounded to the nearest one million? -5000000 Round 124.4685 to the nearest 100. 100 Round -1.420392 to one decimal place. -1.4 Round -0.000002162873 to seven dps. -0.0000022 What is -13605.912 rounded to zero decimal places? -13606 What is -0.00488141 rounded to three dps? -0.005 What is -15532600 rounded to the neares...
{ "pile_set_name": "DM Mathematics" }
= 2*t for t. -5 Let s be 5/((-25)/15) - -7. Suppose 3*x + 9 = -0*n + 4*n, -s*x = 4*n - 16. Suppose n*p - 4*p = 0. Solve p = 3*w + 15, 0*w - 9 = -d + w for d. 4 Suppose 2*w = -50 - 22. Let h = w - -38. Suppose -n + 10 = f, -5*n = -6*f + h*f - 5. Solve 4*d + 4 = 0, o - d + 0*d = n for o. 4 Suppose 13 = -5*o - 4*i - 4, 0 ...
{ "pile_set_name": "DM Mathematics" }
c Which is the closest to -1? (a) 3 (b) -0.5 (c) 0 (d) 4 (e) 1/390 b What is the nearest to -1 in -15, 38, -974, 2/11? 2/11 What is the closest to 12.7 in 3, 15, 0.5, 0.2, 7/6, -1/4? 15 Which is the nearest to 2.1? (a) 3/4 (b) -15.91 (c) -4/9 a Which is the nearest to -0.13? (a) 0.018 (b) -12 (c) 1/7 (d) -1...
{ "pile_set_name": "DM Mathematics" }
t 217 (base 8) to base 11. 120 Convert -a (base 11) to base 3. -101 What is 10011 (base 3) in base 8? 125 Convert 4 (base 14) to base 4. 10 What is 1 (base 8) in base 7? 1 -37 (base 16) to base 14 -3d What is -10111 (base 2) in base 11? -21 -24 (base 7) to base 12 -16 -123 (base 8) to base 7 -146 53 (base 13) to base 1...
{ "pile_set_name": "DM Mathematics" }
64 - -86. Let a = q - 18. Suppose 73 = w - k - 50, w - 138 = a*k. What are the prime factors of w? 2, 59 Let l(o) = 580*o - 648. List the prime factors of l(20). 2, 37 Suppose -53*d + 230912 = -8*d - 87148. List the prime factors of d. 2, 3, 19, 31 Suppose 15 = -v + 3*i, 4*v = 5*i - 4*i - 5. Suppose v = -8*c + 13*c - 1...
{ "pile_set_name": "DM Mathematics" }
Find the common denominator of (3 + 23/(-2))*(-2)/10 and 7/8. 40 Let v(l) = l**3 + 7*l**2 + 5*l + 8. Let p be v(-6). Let h = 2 + p. Calculate the least common multiple of h and 28. 112 Suppose -2*i - 4*k - 5 + 1 = 0, 12 = i - 5*k. Suppose i*g = -g - 354. Find the common denominator of (2/4)/((-9)/g) and 79/6. 18 Let t(...
{ "pile_set_name": "DM Mathematics" }
-14. Is s a multiple of 2? True Let c(x) = 162*x - 9. Does 34 divide c(3)? False Let s(z) = z**3 + 3*z + 4. Let d be s(0). Suppose 0 = 4*q - t - 39, -t = 2*q - d*q + 17. Is q a multiple of 8? False Suppose -22*n + 1412 = -2460. Does 6 divide n? False Let c(m) = 51*m - 282. Is 30 a factor of c(32)? True Let q(r) = 17*r...
{ "pile_set_name": "DM Mathematics" }
nd g - 3*g**4 - g + (g - 3*g + g)*(32*g**2 - 32*g**2 - 11*g**3). 8*g**4 Expand (3*y**3 + 3*y**3 - 5*y**3)*(0*y**2 + y - y**2 + 0*y). -y**5 + y**4 Expand (-17 + 15 + 6)*(-4*f**3 + 3*f**3 + 0*f**3)*(-f + 4*f + 3*f). -24*f**4 Expand (3 - m**2 - 3)*(-2 + 2 - 4*m)*(0*m - 3*m + 4*m). 4*m**4 Expand (-165*x**3 + 31*x**3 - 2205...
{ "pile_set_name": "DM Mathematics" }
) + sqrt(108) + -3 + 1 + sqrt(108))**2. -252*sqrt(3) + 1021 Simplify (sqrt(9) + sqrt(576) + sqrt(576) + 2*sqrt(576) + (sqrt(729)*1 - sqrt(729)))/((sqrt(243)*1 + sqrt(243))*-3 + sqrt(243)). -11*sqrt(3)/15 Simplify ((-4 + 2*sqrt(176))**2 - ((sqrt(176) - (sqrt(176) + sqrt(176) + 1 + sqrt(176)))**2 + sqrt(176) + sqrt(176))...
{ "pile_set_name": "DM Mathematics" }
3*q). -136*q**4 Expand (1496 - 31*b - 1496)*(-3*b**2 + 3*b**2 + b**4) + (0 + 2*b**2 + 0)*(2*b**3 - b**3 - 4*b**3). -37*b**5 Expand (3*v - 4*v - 4*v)*(-30*v**2 + 108*v**2 + 19*v**2). -485*v**3 Expand 0*r**2 + 0*r**2 + r**3 + (-2*r + 4*r + 0*r)*(-r + r - 2*r**2) - 2*r**3 + 0*r + 0*r + (r**2 - 3*r + 3*r)*(-6*r + 0 + 0) +...
{ "pile_set_name": "DM Mathematics" }
9:56 PM? 10:27 AM How many minutes are there between 1:41 PM and 8:19 PM? 398 How many minutes are there between 1:19 AM and 11:31 AM? 612 How many minutes are there between 3:50 PM and 1:41 AM? 591 How many minutes are there between 5:12 PM and 2:48 AM? 576 What is 573 minutes after 9:00 PM? 6:33 AM How many minutes ...
{ "pile_set_name": "DM Mathematics" }
72 What is next in 23070, 23033, 22926, 22713, 22358? 21825 What is the next term in -3742, -3684, -3612, -3520, -3402, -3252? -3064 What is next in 1387, 1679, 2475, 4027, 6587? 10407 What is the next term in 181, 219, 277, 361, 477, 631, 829, 1077? 1381 What comes next: 1399, 1433, 1483, 1543, 1607, 1669? 1723 What c...
{ "pile_set_name": "DM Mathematics" }
ommon multiple of 33 and 99. 99 Calculate the least common multiple of 1064 and 22. 11704 Calculate the least common multiple of 192 and 36. 576 What is the common denominator of -7/152 and -33/380? 760 Calculate the common denominator of 107/24 and 95/24. 24 Calculate the least common multiple of 8 and 1752. 1752 Find...
{ "pile_set_name": "DM Mathematics" }
92 and -49/1824. 12768 What is the smallest common multiple of 195 and 78? 390 What is the least common multiple of 423 and 47? 423 Find the common denominator of -19/358 and 83/6. 1074 What is the common denominator of -103/912 and -109/384? 7296 What is the smallest common multiple of 4 and 812? 812 Find the common d...
{ "pile_set_name": "DM Mathematics" }
r g. -3 Let x(t) = 2*t**2 + 24*t + 25. Let p be x(-11). Solve 0*b = -j - 4*b + 4, p*j - 2*b - 12 = 0 for j. 4 Let y = 20309 + -20300. Solve -s - 4 = g, -4*s = -2*g + 49 - y for s. -8 Let f be 32/6 + 34 + 6784/(-192). Solve 4 = 107*h - 109*h + 2*l, 0 = f*h + 4*l for h. -1 Let c be 0/(-1) - 14/(-7). Suppose 91 = 5*u - c*...
{ "pile_set_name": "DM Mathematics" }
80*f**3*g - 72*f*g**3 Find the first derivative of b**3 - 3*b*t**2 + 3*b*t*x**3 - 4*t**2*x - 3*t*x**3 wrt b. 3*b**2 - 3*t**2 + 3*t*x**3 Find the second derivative of 8*v**3 + 124*v**2 - 5892*v. 48*v + 248 What is the second derivative of -601*a**2*z + 3*a*z - 12*z wrt a? -1202*z What is the third derivative of -2*g*k**...
{ "pile_set_name": "DM Mathematics" }
125509160 -0.007116 * -0.065 0.00046254 What is 49 times 100455? 4922295 Multiply -11.82 and 40.59. -479.7738 Work out 647156 * -33. -21356148 What is -2 times -79056301? 158112602 1010415 times -44 -44458260 -0.1 times 854.09998 -85.409998 162116.4*31 5025608.4 11 times 34023.661 374260.271 -1059382*-2.3 2436578.6 -1 ...
{ "pile_set_name": "DM Mathematics" }
/(6/10))/((-25)/30) -4/5 Evaluate 76/(-19)*((-495)/12)/(-11). -15 Evaluate (-5)/(-30)*(1428/147)/(-17). -2/21 Calculate ((-15)/(-27)*6)/(24/684*19). 5 (16/(-12))/((10/45)/(80/(-15))) 32 Evaluate (161/(-14))/(-23)*(-3)/((-15)/100). 10 (-46)/30*15*7/(-21) 23/3 Evaluate ((-22)/99*-2)/(-2*(-1)/36). 8 Evaluate (0*1/(16/8))/...
{ "pile_set_name": "DM Mathematics" }
/19 Simplify (sqrt(84)/sqrt(6))/sqrt(2) - 2*sqrt(7)*-2. 5*sqrt(7) Simplify (sqrt(13)*3 + 2 - (sqrt(104)/sqrt(8) + -1))**2. 12*sqrt(13) + 61 Simplify 3*(-4 + (sqrt(7) + 1)**2 + sqrt(7)). 12 + 9*sqrt(7) Simplify (sqrt(121)*-5)/sqrt(11) + 3. -5*sqrt(11) + 3 Simplify (-4*-1*(sqrt(11) + sqrt(11) + 3))**2. 192*sqrt(11) + 848...
{ "pile_set_name": "DM Mathematics" }
2 = 0. List the prime factors of p. 41 Let j = 3970 - -3053. What are the prime factors of j? 3, 2341 Let g(p) = 59*p**2 - 6*p + 5. Let j be g(1). Suppose j*d = 56*d + 16. Suppose -d*m + 336 = -5*m. What are the prime factors of m? 2, 7 Let z(g) = -2*g**3 - 3*g. Let p be z(-3). Let a(i) = -3*i**3 - 18*i**2 + 2*i - 39. ...
{ "pile_set_name": "DM Mathematics" }
derivative of 0 + 31*n**2 + 5 - 30*n**2. Calculate v(k(s)). -16*s**2 Let g(j) = -j**2 - 3. Let x(z) = 4*z**2 + 11. Let t(u) = -22*g(u) - 6*x(u). Let a(q) = 3*q + 3*q - 3*q. Calculate a(t(p)). -6*p**2 Let a(o) = -4 + 4 + 2*o. Let f(d) be the third derivative of -d**4/12 + d**2. What is a(f(i))? -4*i Let z(g) = 10*g - 5...
{ "pile_set_name": "DM Mathematics" }
t n(m) = -z*m**2 - 6*m**2 + 11*m**2. Determine l(n(t)). -12*t**2 Let o(b) = -2*b + 2*b + 3*b. Let a = 73 + -84. Let r(h) = -5*h**2 + 2*h + 2. Let z(d) = -26*d**2 + 11*d + 11. Let p(w) = a*r(w) + 2*z(w). Determine p(o(i)). 27*i**2 Let q(g) = -4*g. Let s(w) = 9*w - 3. Let r(y) = -9*y + 2. Let v(k) = 3*r(k) + 2*s(k). Let ...
{ "pile_set_name": "DM Mathematics" }
asing order. 8, 4, j Let i = -7 - -18. Let n = 9 - i. Let w = 0.9 - 1.3. Sort w, 0.08, n in descending order. 0.08, w, n Let y = 2.25 - 2.25. Put -4, 14/3, y in ascending order. -4, y, 14/3 Suppose 0 = 4*k - s + 14, 20*s = 4*k + 18*s + 16. Suppose 9*h - 70 = 4*h. Suppose -2*r = 2*a - h, 5*a + 0*r + 2*r = 47. Sort a, 5,...
{ "pile_set_name": "DM Mathematics" }
31 (c) 1/5 (d) 0 c What is the biggest value in 1/18, -3, -2/3, 1, 4? 4 What is the fifth biggest value in 0.3, -1/5, 1/4, 2/73, 0.4? -1/5 Which is the fifth biggest value? (a) 2 (b) -5 (c) 0.1 (d) -8 (e) 4/9 d What is the third smallest value in 0, 5, 0.3, -12? 0.3 What is the third biggest value in 1, -5, 0.2...
{ "pile_set_name": "DM Mathematics" }
c is divided by 22. 14 Suppose -1073 = 77*b - 106*b. What is the remainder when 103 is divided by b? 29 Let m(v) = 2*v**2 - 6*v - 71. Calculate the remainder when m(-7) is divided by 14. 13 Suppose 0*p + p = 5. Let a be 0*((-3)/(-2) - (-5 - -7)). Suppose j - 1 - p = a. What is the remainder when 22 is divided by j? 4 ...
{ "pile_set_name": "DM Mathematics" }
of 2086? 2, 7, 149 What are the prime factors of 1128? 2, 3, 47 What are the prime factors of 7219? 7219 List the prime factors of 1487. 1487 What are the prime factors of 1666? 2, 7, 17 List the prime factors of 548. 2, 137 What are the prime factors of 166? 2, 83 List the prime factors of 55919. 199, 281 What are th...
{ "pile_set_name": "DM Mathematics" }
424? 13 What is the greatest common factor of 887222 and 176646? 998 Calculate the highest common factor of 39446088 and 264. 264 Calculate the greatest common divisor of 706988055 and 642. 321 Calculate the highest common factor of 2423634 and 1537137. 8133 Calculate the highest common factor of 258 and 9873789. 129 W...
{ "pile_set_name": "DM Mathematics" }
What is (-1)/((-10)/(-128))*(3825/(-90))/(-17)? -32 Evaluate (420/24)/7*(-5)/(15/2). -5/3 What is 15/((-720)/(-112))*3*1? 7 Evaluate ((-2)/(-22))/(1309/(-2057))*15. -15/7 Calculate ((-30)/(-275))/((-24)/320*4). -4/11 What is the value of -1*4*3/(-180)*(-3)/1? -1/5 Calculate (12/(-28)*2730/156)/((-2)/4). 15 Calculate 6...
{ "pile_set_name": "DM Mathematics" }
e b(l(t)). -7350*t**2 - 1911*t - 66 Let b(z) be the second derivative of -z**5/10 - z**3/6 + 28*z. Let r(w) be the second derivative of b(w). Let c(x) = 0 - 4*x**2 + 0 + 2*x**2. Calculate c(r(a)). -288*a**2 Let o(q) = -3*q + 409168. Let l(g) = 2*g**2. Calculate o(l(y)). -6*y**2 + 409168 Let f(t) = 28*t**2 + 447*t - 447...
{ "pile_set_name": "DM Mathematics" }
Let m(t) = -t**3 - 6*t**2 - t - 1. Suppose -11 = 3*f + 25. Let k be (9/4)/(f/32). What are the prime factors of m(k)? 5 Suppose 0 = -3*q + 5 + 1. Suppose -5*m + q*m + 6 = 0. What are the prime factors of m? 2 Let y(p) = 6*p**2 + 5*p + 3. List the prime factors of y(-2). 17 Suppose 4*w = 28 + 116. What are the prime fa...
{ "pile_set_name": "DM Mathematics" }
11*s - 8*s - o = 5*z. Which is the smallest value? (a) 36 (b) 0.2 (c) z c Let f = 394 - 5908/15. Let a = -502 - -462.3. Let q = a - -34.7. What is the second biggest value in q, -2/7, f? -2/7 Let n = -619423 + 619427. Let m = -0.3 + -0.2. Let j = 2759/11 - 251. Which is the biggest value? (a) m (b) j (c) n c Let...
{ "pile_set_name": "DM Mathematics" }
om mppppmpppppppmp. Give prob of picking 3 p. 44/91 Four letters picked without replacement from {i: 2, r: 1, b: 1, p: 1, f: 2, v: 1}. Give prob of picking 2 i, 1 v, and 1 f. 1/35 What is prob of picking 1 q and 1 h when two letters picked without replacement from {q: 1, h: 1, v: 7, k: 2, w: 4}? 1/105 Calculate prob of...
{ "pile_set_name": "DM Mathematics" }
ded by 5? 4 Let x(v) = -3*v + 3. Let f be x(2). Calculate the remainder when 6 is divided by f/(-9) + (-22)/(-6). 2 Let x = -69 - -153. Suppose -x = -w - w. Calculate the remainder when w is divided by 11. 9 Calculate the remainder when 13 is divided by (-3)/4 + (-190)/(-40). 1 Let y = 235 - 218. Let j(z) = -3*z**2 - 8...
{ "pile_set_name": "DM Mathematics" }
t from cyucvyqr. Give prob of picking 1 v, 2 y, and 1 c. 1/35 Calculate prob of picking 3 z when three letters picked without replacement from {a: 1, j: 1, z: 5, r: 4, k: 1, y: 3}. 2/91 Four letters picked without replacement from xxawxnnwhiinnxwxxx. What is prob of picking 2 x and 2 n? 7/170 What is prob of picking 1 ...
{ "pile_set_name": "DM Mathematics" }
9 Let f(c) = -5*c + 13*c + 0*c - 2*c - 2 - c**2. Suppose 5*o + 10 = -5*a, 2*o = -4*a - 13 + 3. Let y be a*(-3)/((-9)/(-4)). Determine f(y). 6 Let p(m) = 8*m**3 + m**2 + m + 1. Suppose 0 = 9*n - 106 + 115. Give p(n). -7 Let j(p) be the second derivative of -p**5/60 - p**4/3 - p**3/3 - 3*p**2/2 + 11*p. Let t(a) be the f...
{ "pile_set_name": "DM Mathematics" }
16105961 Calculate 32540706 divided by -986082. -33 Divide 26907 by 212. 26907/212 What is 3667635 divided by -547? -6705 What is 37007520 divided by -7824? -4730 Divide 33581285 by -5. -6716257 What is 246358767 divided by -31? -7947057 Calculate -7994010 divided by -532934. 15 641817250 divided by 3 641817250/3 What ...
{ "pile_set_name": "DM Mathematics" }
m uwuuutuxtntnuqutw. Give prob of sequence xt. 1/68 Calculate prob of sequence ioi when three letters picked without replacement from iiamiiiooiiii. 12/143 What is prob of sequence ak when two letters picked without replacement from {w: 1, t: 3, k: 2, d: 5, m: 1, a: 1}? 1/78 Two letters picked without replacement from ...
{ "pile_set_name": "DM Mathematics" }
4)/7*14/8*13/((-39)/12)? 14 Evaluate 1/(((-2432)/144704)/((-12)/14)). 51 What is (-14)/119*(4352/(-3120))/16? 2/195 What is the value of (-1*3)/(324/108)*(-15049)/149? 101 What is the value of ((-3)/((-36)/(-2)))/(141/(59220/(-10)))? 7 Calculate (-7)/(-46)*(-1968)/820*(-15)/21. 6/23 What is (-6)/10*(5130/621)/(-38)? 3/...
{ "pile_set_name": "DM Mathematics" }
7/2, 2, 0.2, -12.65 in increasing order. -12.65, -7/2, 0.2, 2 Put -7, -27, 35, 3, -3, 4 in descending order. 35, 4, 3, -3, -7, -27 Sort -4, 13, -1/2, -5, 21/23 in increasing order. -5, -4, -1/2, 21/23, 13 Sort 1, -1/7, 3/10, -131, -2 in decreasing order. 1, 3/10, -1/7, -2, -131 Sort -3, -12, 2751 in increasing order. -...
{ "pile_set_name": "DM Mathematics" }
of 9129? 3, 17, 179 What are the prime factors of 99459? 3, 43, 257 List the prime factors of 23794. 2, 11897 List the prime factors of 657. 3, 73 List the prime factors of 9920. 2, 5, 31 What are the prime factors of 888? 2, 3, 37 What are the prime factors of 1536? 2, 3 List the prime factors of 76121. 163, 467 List...
{ "pile_set_name": "DM Mathematics" }
th smallest value? (a) -1 (b) h (c) 2 (d) 0.1 (e) -0.2 c Let x = -0.23 + -0.07. Let s be (-1)/(-2)*(-12 - (-4117)/345). What is the third biggest value in x, s, -3? -3 Let i = 3.5 + -3. Let k = -1919.28 + 2128.3. Let n = 209 - k. Which is the third biggest value? (a) n (b) -0.5 (c) i (d) -1/3 d Let l be (28/(-...
{ "pile_set_name": "DM Mathematics" }
1893 a multiple of 13? False Does 14 divide 1241777? False Does 101 divide 116286? False Is 8 a factor of 10145984? True Is 10 a factor of 10734133? False Does 319 divide 1734083? False Does 28 divide 66005? False Is 77 a factor of 485254? True Is 781454 a multiple of 7? False Does 166 divide 458577? False Is 48818 a m...
{ "pile_set_name": "DM Mathematics" }
07, -4502, -7777, -12348, -18431? -36*m**3 + m - 7 What is the l'th term of -2386, -4774, -7162? -2388*l + 2 What is the k'th term of -152, -408, -824, -1394, -2112, -2972, -3968? k**3 - 86*k**2 - 5*k - 62 What is the m'th term of 9092, 9078, 9060, 9044, 9036? m**3 - 8*m**2 + 3*m + 9096 What is the y'th term of 60, 149...
{ "pile_set_name": "DM Mathematics" }
multiple of 20 and (4 - l)/((-2)/28). 140 Let p(q) = -q - 5. Let v(l) = -l - 5. Let s(b) = -3*p(b) + 2*v(b). What is the lowest common multiple of 9 and s(6)? 99 Let l = -4497/3514 + -3/502. Let m = -340 + 2003/6. Find the common denominator of l and m. 42 Calculate the least common multiple of (6 - 8)/(-1*2) and 7. 7 ...
{ "pile_set_name": "DM Mathematics" }
= 88*g + 32 for g. -4 Solve 44*s + 64 = 28*s for s. -4 Solve 0 = -29*t + 26*t - 15 for t. -5 Solve -45*n + 10 = 10 for n. 0 Solve 3 = -6*l - 21 for l. -4 Solve -57*a = 9 + 447 for a. -8 Solve -14*h + 144 = 10*h for h. 6 Solve 2*n = -6*n - 2*n for n. 0 Solve 6*r = 3*r + 6 for r. 2 Solve 0 = -223*g + 204*g for g. 0 Solv...
{ "pile_set_name": "DM Mathematics" }
260797*f/2 - 15064623/2 = 0. -1467, 1/2, 7 Solve -3*l**2/5 + 3474*l - 5028615 = 0. 2895 Suppose 3*n**5 - 1998*n**4 + 294360*n**3 = 0. Calculate n. 0, 220, 446 Find m such that -2*m**5/11 - 856*m**4/11 - 2514*m**3/11 + 15364*m**2/11 + 27008*m/11 - 81600/11 = 0. -425, -4, 2, 3 What is z in 2*z**4/15 - 1864*z**3/5 - 5598*...
{ "pile_set_name": "DM Mathematics" }
s prob of sequence ii? 5/22 Calculate prob of sequence ddgd when four letters picked without replacement from gdgdddg. 3/35 Three letters picked without replacement from {o: 2, h: 5, i: 2}. Give prob of sequence ihh. 5/63 Calculate prob of sequence ooee when four letters picked without replacement from oeoeoeooee. 5/63...
{ "pile_set_name": "DM Mathematics" }
v) = v + 34. Let j be p(-15). Suppose j = -2*k - 21. Is k < -22? False Let v = 0.044 - 0.044. Is 1/136 at most as big as v? False Let j(s) = 11*s + 1. Let o be j(2). Suppose -l - 4*a = -18, -2*l + 9*a = 4*a - o. Let g be 12 - ((3 - 3) + -2). Is g > l? False Let j be 30/225 + (-182)/15. Let f be (-26)/(-8) - (-3)/j. Are...
{ "pile_set_name": "DM Mathematics" }
- 12*g**2. Let h(k) = 2*j(k) - 5*z(k). Let o(y) = 2*y**2. What is o(h(l))? 72*l**4 Let v(f) = -5*f. Let z(o) = -o**2 - 5*o. Determine v(z(y)). 5*y**2 + 25*y Let c(r) = -17*r**2 - 8*r. Let s(o) = 11*o**2 + 5*o. Let x(d) = 5*c(d) + 8*s(d). Let a(f) = -f**2. What is x(a(t))? 3*t**4 Let y(d) = 2*d**2. Let s(p) = -2162*p + ...
{ "pile_set_name": "DM Mathematics" }
l) + 37 + 6 + l - 6. -241*l + 37 Expand (5*f - f - 3*f)*(f + 9*f - 14*f)*(14 + 12 - 1). -100*f**2 Expand (4*m**4 + 5*m - 5*m + (4*m**2 - 2*m**2 + 0*m**2)*(m**2 + 3*m - 3*m) - 2*m**3 + 2*m**3 + 2*m**4)*(-1908 + 2512 - 1804). -9600*m**4 Expand (-24*d**2 - 2 - 46*d**2 + 12*d**2)*(7*d - 6*d + 9*d)*(0 - 3 + 1). 1160*d**3 +...
{ "pile_set_name": "DM Mathematics" }
. What is prob of sequence ege? 1/3 Two letters picked without replacement from {n: 1, j: 8, a: 4}. Give prob of sequence na. 1/39 Two letters picked without replacement from {m: 5, w: 5}. Give prob of sequence ww. 2/9 Calculate prob of sequence eccc when four letters picked without replacement from ocecc. 1/20 What is...
{ "pile_set_name": "DM Mathematics" }
Differentiate -842676*q**4 + q**3 + q - 267121. -3370704*q**3 + 3*q**2 + 1 What is the derivative of -2*q**4 + 5872*q**3 - 2154 wrt q? -8*q**3 + 17616*q**2 What is the first derivative of -3*k**3 - 646*k**2 - 2*k + 15708 wrt k? -9*k**2 - 1292*k - 2 Differentiate -7699*d**2 + 25861 wrt d. -15398*d What is the first deri...
{ "pile_set_name": "DM Mathematics" }
e -156*k = 133*k - 258*k. What is the smallest value in -25, -1/11, -1/3, k? -25 Let d = 485/4 - 120. Let t = -2251.3 - -2248.3. What is the biggest value in t, d, 4, -2? 4 Suppose -4*b - 2*f + f - 60 = 0, 0 = -2*b + 5*f - 52. Let u = b + 19. Suppose -14 = -u*s - 5*h, s - 6 = -4*s - 4*h. What is the smallest value in s...
{ "pile_set_name": "DM Mathematics" }
ine -5*j(q) - 3*v(q). 2*q**2 + 3*q - 15 Let y(q) = -15*q**3 - q**2 + 5*q + 4. Let m(j) = -j - 1. What is 5*m(z) + y(z)? -15*z**3 - z**2 - 1 Let t(c) = -c**2 - 9*c + 4. Let a(v) = -v**2 + 9*v - 9. Let h be a(7). Suppose 2*m = 7*m - 25, h*n + 40 = 2*m. Let l(o) = o - 1. Give n*l(j) - t(j). j**2 + 3*j + 2 Let m(y) = -4*y ...
{ "pile_set_name": "DM Mathematics" }
h Collect the terms in -1 + 72721304*h**3 + 1. 72721304*h**3 Collect the terms in 1960*w**3 - 9 + 5 + 4 - 3867*w**3 + 2196*w**3 - 2*w**2. 289*w**3 - 2*w**2 Collect the terms in 2*b**3 - b - 5*b**3 - 5630*b**2 + b - 76932*b**2. -3*b**3 - 82562*b**2 Collect the terms in -47*d**2 - 49*d**2 + 151*d**2 - 54*d**2 + 928*d. d*...
{ "pile_set_name": "DM Mathematics" }
ivative of -p + 5 + 4*v - f*v wrt v? 2 Let f be -3 + -1 + 6 - -3. What is the third derivative of -3*x**f + 2*x**6 - 14*x**2 + 10*x**2 + 3*x**5 wrt x? 240*x**3 Suppose -5*o - 43 = 3*d - 6*d, -5*d + 3*o = -45. Let t = d - 3. Find the third derivative of 0*x**3 + 3*x**t + 3*x**2 - 4*x**3 - x**2 wrt x. -6 Let g(k) be the ...
{ "pile_set_name": "DM Mathematics" }
s*p + w + q*p**2 + n*p**3 + u*p**4 and give w. 3 Express s**3 - 2*s**2 - 3*s**3 + s**4 + 3*s**2 - 3*s in the form p*s**2 + k*s**3 + a*s**4 + q*s + o and give p. 1 Express -13*i + 0 + 1 - 1 as q + y*i and give y. -13 Rearrange 3 - q**3 - 2*q**2 - 2*q**4 + 6*q**4 - 1 + 2 to t*q**2 + k + a*q**4 + f*q**3 + s*q and give k. ...
{ "pile_set_name": "DM Mathematics" }
p(y)). -3*y Suppose -u = -2*u - 8. Let x = 5 + -4. Let l(r) = 4*r + 8. Let h(b) = b + 1. Let z(k) = u*h(k) + x*l(k). Let d(w) = -2*w**2. Give d(z(m)). -32*m**2 Let y(u) be the third derivative of 7*u**4/24 - 15*u**2. Let q(d) = -3*d**2. Determine q(y(i)). -147*i**2 Let f(d) = -11*d**2. Let a(z) = 119*z**2 + 4. Determin...
{ "pile_set_name": "DM Mathematics" }
1, l: 1, i: 3}. What is prob of sequence iq? 3/44 What is prob of sequence rr when two letters picked without replacement from {r: 2, w: 3, m: 2, i: 5}? 1/66 What is prob of sequence apwa when four letters picked without replacement from wpmphwwaoowooopahowa? 1/1292 Three letters picked without replacement from {n: 10,...
{ "pile_set_name": "DM Mathematics" }