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. Does 2 divide (z/5)/(4/60)? False Let j(f) be the second derivative of 22*f**3/3 - 8*f**2 + 159*f. Does 5 divide j(4)? True Suppose 10*n - 10498 + 2048 = 0. Suppose -6*c = -11*c + n. Does 13 divide c? True Does 14 divide ((-140)/(-1))/((13/(-16))/(-13))? True Let n(j) = j**2 + 3*j + 5. Let q be n(0). Suppose -q*v + 7...
{ "pile_set_name": "DM Mathematics" }
s(c) = -2*c**3 - 509*c**2 + 3533*c + 36532. What is s(-261)? -8 Let d(l) = l**3 + 53*l**2 + 726*l + 50055. Calculate d(-56). -9 Let z(x) = -x**3 + 2*x**2 + 404*x + 685. Calculate z(22). -107 Let g(b) = 8*b**3 + 28*b**2 + 103*b + 106. Calculate g(-2). -52 Let t(d) = -12716*d + 63594. Give t(5). 14 Let i(r) = -r**3 + 97...
{ "pile_set_name": "DM Mathematics" }
Let r = -38224 - -59507. Is r a composite number? False Suppose -2*l = 12, -607*o + 96543 = -604*o - 5*l. Is o a composite number? True Suppose 19*t - 50 = 9*t. Suppose 0 = -t*r + n + 40291, 0 = -r - 28*n + 32*n + 8043. Is r a composite number? False Let r = -310250 + 595351. Is r a prime number? True Let p = 28065 + -...
{ "pile_set_name": "DM Mathematics" }
positive. x**(-83/63) Simplify ((w**1*w)**(-46))**(4/5)/(w**0*w**5)**20 assuming w is positive. w**(-868/5) Simplify (((f*f**(-2/35))/(f**(-1)*f))/((f*f**11)/(f*f/(((f/((f*f**(7/4))/f))/f*f)/f))))**(-6/11) assuming f is positive. f**(279/70) Simplify (x**(-13)/x*x*x/(x**(1/5)/x*x)*(x*(x/(x/(x*x**8*x)))/x*x*x)**(12/11))...
{ "pile_set_name": "DM Mathematics" }
5/30 - 4*g**2. Let y(t) = -t. Determine y(v(z)). -2*z**2 Let u(w) be the third derivative of -1/15*w**5 - w**2 + 0*w + 0*w**4 + 0 + 0*w**3. Let q(y) = -12 - 2*y**2 + 12. What is u(q(t))? -16*t**4 Let b(r) = -2*r**2. Let p(d) = 86*d**2. Give b(p(u)). -14792*u**4 Let i(a) = 6*a**2. Let s(q) = 33*q + 5. Calculate s(i(d))....
{ "pile_set_name": "DM Mathematics" }
is divided by 9. 5 Calculate the remainder when 4245 is divided by 95. 65 What is the remainder when 40937 is divided by 66? 17 What is the remainder when 102912 is divided by 2450? 12 Calculate the remainder when 120633 is divided by 264. 249 Calculate the remainder when 3876 is divided by 3821. 55 Calculate the rema...
{ "pile_set_name": "DM Mathematics" }
.0000003 Let o = 47 - 47. Suppose 3*j = -4*s - 91512, o*s + 4*s = -2*j - 61012. What is j rounded to the nearest 1000? -31000 Let d = 20.68 - -1192.32. Let n = 1060.4 - d. Round n to the nearest ten. -150 Let c = 532 - -70. Let w = c - 602.000000987. What is w rounded to 7 decimal places? -0.000001 Let h = 0.155177825 ...
{ "pile_set_name": "DM Mathematics" }
culate -393 divided by 1. -393 -30 divided by 11 -30/11 Divide -27122 by -71. 382 1020 divided by -51 -20 Calculate 450 divided by -9. -50 What is 195 divided by 102? 65/34 Calculate 312 divided by -78. -4 Divide -6612 by -3. 2204 Divide -274 by 34. -137/17 Calculate 1032 divided by -2. -516 -5313 divided by -1771 3 Wh...
{ "pile_set_name": "DM Mathematics" }
1/20 Calculate prob of sequence yphp when four letters picked without replacement from {y: 1, j: 1, h: 1, p: 2}. 1/60 Two letters picked without replacement from {p: 7, g: 3, l: 2, t: 8}. What is prob of sequence pt? 14/95 Three letters picked without replacement from {i: 1, m: 6, p: 4, w: 3, b: 4, x: 1}. Give prob of ...
{ "pile_set_name": "DM Mathematics" }
+ w*g**n + 0*g. (g - 1)*(g + 1)/6 Let u(z) be the third derivative of 1/6*z**3 - 1/96*z**4 + 0*z - 1/1440*z**6 + z**2 + 0 + 1/240*z**5. Let m(g) be the first derivative of u(g). Factor m(b). -(b - 1)**2/4 Let m be (28/35)/((-4)/(-50)). Suppose -3*j - 2*j + m = 0. Factor -2/3*d**4 - 4*d**j - 2/3 - 8/3*d - 8/3*d**3. -2*...
{ "pile_set_name": "DM Mathematics" }
- -3.4. What is the nearest to -0.2 in f, 5, u? f Let x = 62 + -62.1. What is the nearest to x in -1/5, -4, -5? -1/5 Let m be ((-13)/(-3))/((-5)/(-40)). Let j = m - 35. Let z(x) = x + 1. Let r be z(4). What is the nearest to j in -0.1, r, -1? -0.1 Suppose 2*g + 0*k = -2*k - 2, -7 = 3*g + 2*k. Let d = -699 - -703. Let ...
{ "pile_set_name": "DM Mathematics" }
What is the units digit of i? 2 Let f(s) = 87*s**2 - 42*s - 166. What is the units digit of f(-4)? 4 Suppose 5*y + 2 = -3. What is the units digit of y/2 - (-81)/2? 0 Let b be ((-1)/(-3))/(1/117). Let n = 55 - b. Suppose 19*v - 81 = n*v. What is the units digit of v? 7 Let y(a) = -5*a - 171. Let r(u) = u + 43. Let k(s...
{ "pile_set_name": "DM Mathematics" }
factor of 204293406? True Does 1144 divide 239297344? True Is 37865028 a multiple of 12? True Is 63915008 a multiple of 256? True Is 43 a factor of 7351495? True Is 12 a factor of 14456016? True Is 87 a factor of 756027216? True Is 58 a factor of 212420360? True Does 12 divide 1734081977? False Does 2 divide 39150929? ...
{ "pile_set_name": "DM Mathematics" }
71 Factor j**3/6 - 130*j**2/3 + 257*j/2. j*(j - 257)*(j - 3)/6 Factor t**3 - 493*t**2 - 2000*t + 5964. (t - 497)*(t - 2)*(t + 6) Find a such that 5*a**2 - 4310*a = 0. 0, 862 Let 2*n**4 - 1466*n**3 - 89838*n**2 - 175270*n - 86900 = 0. Calculate n. -55, -1, 790 Let 3*d**2/4 - 2289*d/2 - 16170 = 0. What is d? -14, 1540 Su...
{ "pile_set_name": "DM Mathematics" }
6 + 1*(-6*(sqrt(1053)*-2 + sqrt(1053) + sqrt(1053)))**2. 18*sqrt(13) Simplify 3 + 3 + ((2*sqrt(2835)*1)/(-1*sqrt(7)*2 - (-1*sqrt(847) - sqrt(847))))**2. 201/20 Simplify 4 + 0 + -4*((sqrt(637)*-2)**2 + -4 + (-3*(-1 + sqrt(637) + sqrt(637)))**2) + 2. -101934 + 1008*sqrt(13) Simplify ((2*sqrt(50)*5 + sqrt(50) + -3 + -1 + ...
{ "pile_set_name": "DM Mathematics" }
value? (a) z (b) 0.5 (c) i b Let c = -29/2 + 151/10. Let a be 3 + ((-1 - -42)*1)/(-1). Let l be a/(-10) + 0 - 18/6. What is the biggest value in c, l, 2? 2 Suppose 4*y - 3*d = -33, 3*y + 0*y + 30 = -3*d. Suppose -3*r + 35 = 5*q, 3*r + r = 2*q + 12. Let m be q/18 + 8/126. What is the biggest value in -0.4, m, y? m Le...
{ "pile_set_name": "DM Mathematics" }
*f*n + 16*f + 2*n - 17732037 wrt n? -258264737*f + 2 What is the third derivative of 281*z**6 - 201*z**4 - z**3 - 5116095*z**2 wrt z? 33720*z**3 - 4824*z - 6 Differentiate 19036519*u*y**2 - 1717*y**2 + 1657*y with respect to u. 19036519*y**2 What is the first derivative of -6073*g*i*t**3 - 231*g*t**3 + 4*g*t**2 + 2*g +...
{ "pile_set_name": "DM Mathematics" }
.9451566 Multiply -20375840 and -1. 20375840 Product of 16258.8 and -576. -9365068.8 Work out 455.57916 * 5. 2277.8958 Work out -101 * -1080017. 109081717 1.7*-292531.35 -497303.295 Product of 55312.69 and -0.071. -3927.20099 What is the product of -37.1 and -4214.7? 156365.37 Product of -1.16 and 1079859. -1252636.44 ...
{ "pile_set_name": "DM Mathematics" }
what is 2 + 225? 227 In base 7, what is -50634 - -3? -50631 In base 14, what is -b - 7? -14 In base 11, what is -9a - -3? -97 In base 2, what is 1111011 - 1110011? 1000 In base 2, what is -110011 + 11? -110000 In base 14, what is -2 + 8c? 8a In base 3, what is -12221110 - 11? -12221121 In base 3, what is -1110 + -112? ...
{ "pile_set_name": "DM Mathematics" }
common multiple of 28575 and 36. 114300 What is the smallest common multiple of 18378 and 54? 55134 Calculate the common denominator of 2/72969 and 74/9. 218907 Calculate the least common multiple of 4235 and 128744. 643720 What is the least common multiple of 22 and 145230? 1597530 Calculate the common denominator of ...
{ "pile_set_name": "DM Mathematics" }
z*s and give n. -16 Express (44 + 67 + 71)*(-4 + 5 - 2)*(1195 + a - 595 - 587) as j*a + c and give j. -182 Express -32*i**2 + 14*i**3 + 4*i - 5*i**3 + 3*i**2 - 6*i**3 in the form u*i**2 + r*i + h*i**3 + d and give r. 4 Express (170 + 335 - 136 - 61 + 401)*(23*a - 18*a - 16*a) in the form t + c*a and give c. -7799 Expre...
{ "pile_set_name": "DM Mathematics" }
ecimal places. 0.01 Let p = 56.919145 + -56.9. Round p to four dps. 0.0191 Let k = -650892 - -348492. Round k to the nearest ten thousand. -300000 Let a = -129626286047328973.99999887 + 129626274052459216. Let h = a + 11994869499. Let b = 259 + h. Round b to 7 dps. 0.0000011 Let w = 28513 + -28513.0000067621. What is w...
{ "pile_set_name": "DM Mathematics" }
ative of a**4/8 + 7*a**3/2 - 10*a**2. What is the remainder when k(6) is divided by 8? 7 Let f = 29 - 21. Let z be (-110)/8 + (-2)/f. Let n = 23 + z. What is the remainder when 22 is divided by n? 4 Let t(s) = s**3 - 7*s**2 + 3*s - 3. Let k(f) = -f + 13. Let h be k(6). Calculate the remainder when 2/3*(-426)/(-4) is di...
{ "pile_set_name": "DM Mathematics" }
at is the hundreds digit of 43508? 5 What is the hundreds digit of 1117? 1 What is the tens digit of 10362? 6 What is the units digit of 88270? 0 What is the tens digit of 5764? 6 What is the thousands digit of 3549? 3 What is the units digit of 1088? 8 What is the hundreds digit of 1189? 1 What is the tens digit of 82...
{ "pile_set_name": "DM Mathematics" }
be g(-20). Solve -5*b = -r*i + 12*i + 21, 0 = -i + 2*b + 8 for i. -2 Let p(v) = v**2 - 26*v - 183. Let y be p(29). Let r = 100 + y. Solve r*s = -5*q - 12 - 13, 2*s - 5 = q for q. -5 Let q = -13 - 57. Let i = 643 + -567. Let b = i + q. Solve -2*g + 0 = 2*m + b, -13 = 5*g + 3*m for g. -2 Let d(j) = -j - 2. Let m be d(-2...
{ "pile_set_name": "DM Mathematics" }
s 30712 a multiple of 44? True Does 38 divide 1239? False Does 21 divide 210? True Is 219 a multiple of 32? False Is 7 a factor of 32921? True Is 17 a factor of 1003? True Is 5 a factor of 6735? True Is 209 a multiple of 11? True Is 1324 a multiple of 27? False Does 6 divide 13817? False Is 351 a multiple of 9? True Do...
{ "pile_set_name": "DM Mathematics" }
nearest integer? 5 What is 896139 to the power of 1/10, to the nearest integer? 4 What is 31746 to the power of 1/2, to the nearest integer? 178 What is 36887807 to the power of 1/3, to the nearest integer? 333 What is 4799509 to the power of 1/4, to the nearest integer? 47 What is the square root of 394396 to the near...
{ "pile_set_name": "DM Mathematics" }
0008 What is the common denominator of 7/1353 and -52/41? 1353 Calculate the common denominator of 101/3312 and 107/1840. 16560 What is the common denominator of -35/32 and 67/42464? 42464 Calculate the common denominator of 13/10760 and -119/172160. 172160 Find the common denominator of -49/328 and -89/5304. 217464 Wh...
{ "pile_set_name": "DM Mathematics" }
o four dps? -0.0005 Let s = -49 + 33. Let b = 15.36 + s. Round b to one decimal place. -0.6 Let p be 1 - (-2 + (0 - -1)). Let m = -4 + p. Let g be 26599/2 - 1/m. Round g to the nearest 1000. 13000 Let u(m) = 3*m + 12. Let o be u(-4). What is o rounded to 7 dps? 0 Let z = -721242 - -1645591. Suppose z = 3*d + 2394349. R...
{ "pile_set_name": "DM Mathematics" }
i or -3? i Suppose 0 = -y + 12 + 4. Is y <= 16? True Let b be 575/185 + -4 + (1 - 0). Which is smaller: b or -1? -1 Let g = 10.2 - 11. Let i = g - -5.8. Let c = -4.9 + i. Is c bigger than -1? True Suppose -4*m + 108 = -2*a, 0 = 3*a - 2*m - 13 + 171. Is -52 at most a? True Let h = 4 + -4. Let c be (3 + -1)*(-2)/(-4). I...
{ "pile_set_name": "DM Mathematics" }
lculate the remainder when 958 is divided by 22. 12 What is the remainder when 1491 is divided by 1445? 46 What is the remainder when 3918 is divided by 109? 103 What is the remainder when 899 is divided by 26? 15 What is the remainder when 1212 is divided by 36? 24 What is the remainder when 78 is divided by 28? 22 Ca...
{ "pile_set_name": "DM Mathematics" }
). Solve 4*k = -u + 3*u + g, 0 = -2*u - 2*k + 2 for u. -3 Let d(k) = -k**3 - 2*k**2 - k + 2. Let u be d(-2). Solve -4*r + u*b + 4 = 0, -4*r - b + 4*b = -3 for r. 0 Let s = 35 + -17. Let w be (s/5)/(4/20). Solve 4*v - 1 = -2*h + 13, 5*v + 2*h - w = 0 for v. 4 Let n be (-1 + -5)/((-6)/4). Suppose -n*s = -7*s. Solve 3*k -...
{ "pile_set_name": "DM Mathematics" }
5*x - 4*t = t - 25. Suppose 0 = -x*j + 3*b + 3, 2*j + 6*b + 4 = 2*b. Suppose 0*q + 5*q - 135 = j. Is 15 a factor of q? False Let b = 2 + -2. Suppose b*o - 4*y = o - 13, 4*o + 3*y = 13. Suppose 0 = -3*h - o + 13. Does 2 divide h? True Let y = -3 + -8. Let b = 16 + y. Is 5 a factor of b? True Let i be 1 + 11 - (-5 - -5)....
{ "pile_set_name": "DM Mathematics" }
t is the remainder when 844651 is divided by 1474? 49 What is the remainder when 27071 is divided by 26853? 218 Calculate the remainder when 16024030 is divided by 638. 22 Calculate the remainder when 41085 is divided by 17834. 5417 Calculate the remainder when 6365971 is divided by 795738. 67 Calculate the remainder w...
{ "pile_set_name": "DM Mathematics" }
63, -166, -169? -172 What is the next term in 24, 17, -28, -129, -304, -571, -948, -1453? -2104 What is next in 41, 97, 171, 263? 373 What is the next term in 20, 36, 54, 74, 96? 120 What is the next term in 55, 76, 99, 124, 151, 180? 211 What comes next: -1, 11, 47, 119, 239, 419? 671 What comes next: 1422, 2843, 4264...
{ "pile_set_name": "DM Mathematics" }
- 18*z**3 + 7*z**3 wrt z? 12*z Let r(n) = 489*n**2 + 268. Let h(a) = -122*a**2 - 67. Let i(y) = 18*h(y) + 4*r(y). Differentiate i(s) wrt s. -480*s Suppose 6 = -3*r + 6. Let z(y) be the third derivative of r + 1/3*y**3 + 1/12*y**4 - 5*y**2 + 0*y. Differentiate z(q) with respect to q. 2 Let t(b) = -b - 3. Let p(v) = -v*...
{ "pile_set_name": "DM Mathematics" }
) 10.2 (e) 0.2 (f) -3 c Which is the second smallest value? (a) 1/3 (b) -1/2 (c) 77 (d) 12 (e) -1.5 b What is the smallest value in -4, -2846, 17? -2846 Which is the fifth smallest value? (a) -68 (b) 0 (c) -0.11 (d) 1/11 (e) 5 (f) 3 f What is the third smallest value in -4, -45, -20, 1? -4 What is the thir...
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from uuhhuvuuvuuuuu? 20/91 Two letters picked without replacement from vddvovodvdodovvodvo. Give prob of picking 2 o. 5/57 Two letters picked without replacement from {p: 1, i: 2, c: 2, m: 3, f: 3, v: 4}. What is prob of picking 2 m? 1/35 What is prob of picking 1 l, 1 n, and 2 d when fou...
{ "pile_set_name": "DM Mathematics" }
et n = 6 + -8. Put -12, n, b in increasing order. -12, b, n Let t = 0.5 + -3.5. Let j = -13331.1 + 13333. Sort j, 5, t, -0.3 in descending order. 5, j, -0.3, t Suppose -7*x = 6 + 15. Let v be 1/7*(x + 50/12). Let h = 7 + -2. Sort v, h, 0.4 in increasing order. v, 0.4, h Suppose -2*d - 3*r + 6 = 0, 38*r = -4*d + 39*r - ...
{ "pile_set_name": "DM Mathematics" }
late c(x) - 3*q(x). -8*x - 2 Let b(a) = a - 3. Let x be b(6). Let t(u) = 5*u - 4. Let v(p) be the third derivative of 3*p**4/8 - 7*p**3/6 - 26*p**2 + 1. What is x*v(f) - 5*t(f)? 2*f - 1 Let n(k) = 11*k**2 - 2*k + 8. Let c(b) = b**2 - b + 3. Give 4*c(t) - n(t). -7*t**2 - 2*t + 4 Let y(q) = -13*q. Let v(s) = 39*s + 2. De...
{ "pile_set_name": "DM Mathematics" }
e) 0.5 c Which is the fourth biggest value? (a) 2/19 (b) -31 (c) -1 (d) 0.8 (e) 10 (f) 3/7 a What is the biggest value in -2/41, -99, 0.08? 0.08 What is the fifth biggest value in 5/3, 4, -0.4, -0.3, -2? -2 Which is the biggest value? (a) -0.02 (b) -0.5 (c) -1 (d) -0.169 (e) -4 a Which is the smallest value?...
{ "pile_set_name": "DM Mathematics" }
-3*k + 2*k. Suppose 0 = -2*g + 3*g - 2. Suppose n + 4*t - 7 = 0, -g*n + 2*t - 3*t + 7 = 0. Sort k, n, -1. -1, k, n Suppose -42 - 38 = 16*y. Put 3, y, 5, 21 in decreasing order. 21, 5, 3, y Let s = 0.018 + -34.018. Let z = -35 - s. Sort z, 0, -0.4 in decreasing order. 0, -0.4, z Suppose 3 = w, -2*a + 3*w = 4 - 1. Suppos...
{ "pile_set_name": "DM Mathematics" }
om {p: 1, q: 3, w: 1, r: 2}. Give prob of sequence rpr. 1/105 Four letters picked without replacement from {p: 4, w: 3, v: 6}. What is prob of sequence wvwv? 3/286 Four letters picked without replacement from {t: 3, m: 3}. What is prob of sequence tmtt? 1/20 Calculate prob of sequence bbup when four letters picked with...
{ "pile_set_name": "DM Mathematics" }
a*r = 23*r - 1104. Calculate the greatest common factor of 432 and r. 48 Let j(z) = z + 2. Let i be j(4). Let s(l) = -2*l**2 - 861*l - 4239. Let r be s(-5). What is the highest common divisor of i and r? 2 Let k = -626 - -914. What is the greatest common divisor of k and 64? 32 Suppose j = -n + 3159 - 149, 2*j + n - 60...
{ "pile_set_name": "DM Mathematics" }
9.033 Work out -1.055 - -0.5. -0.555 -118557 - -4 -118553 2.8165 + 0.1 2.9165 Add -9229 and -0.13. -9229.13 -291474 - -0.2 -291473.8 Work out 0.2 - 1576. -1575.8 Subtract -0.4 from 582.63. 583.03 Work out -0.0364 - -1.32. 1.2836 183 + 560 743 What is 17.72892 plus -4? 13.72892 0.1018+-2 -1.8982 Add 13 and 7.08. 20.08 A...
{ "pile_set_name": "DM Mathematics" }
True Let z(d) = 2*d**3 - 8 - 5 + 13*d**2 + 7 + d. Let j(k) = 2*k**3 + 13*k**2 - 6. Let n(t) = 5*j(t) - 6*z(t). Let h be n(-6). Which is bigger: h or 11? 11 Suppose p - 179 = -4*b - b, b + 457 = 3*p. Suppose m - 5*z + 2 = 0, -z + 35 + 7 = 3*m. Suppose -m*k = k - p. Is k equal to 11? True Suppose -68 = -12*o + 11*o + 5*t...
{ "pile_set_name": "DM Mathematics" }
or -98? -98 Is -669509/5 at most -133902? False Is 0 != 45/1007? True Which is smaller: 6310 or 113575/18? 113575/18 Is 19589 at least as big as 19655? False Is -302/1923 equal to 0? False Which is greater: 0 or -103/11431? 0 Which is smaller: -15361 or -15373? -15373 Is -18149 equal to -18155? False Which is bigger: ...
{ "pile_set_name": "DM Mathematics" }
- 7*k + 5. Let r be f(7). Suppose r*d - 18 = 4*d. List the prime factors of d. 2, 3 Suppose -617 = -8*t - 17. List the prime factors of t. 3, 5 Suppose -9*x + 7*x = -44. List the prime factors of x. 2, 11 Suppose 0 = -0*l + 2*l - 8. Let z(g) = -4*g**3 + 5*g**3 + 3*g - 10 - 3*g**2 - l*g**2. List the prime factors of z(7...
{ "pile_set_name": "DM Mathematics" }
et w(y) = 2*y. Let b(g) be the second derivative of -17*g**4/4 + 27*g. Determine b(w(o)). -204*o**2 Let b(f) = -26*f**2. Let u(l) be the third derivative of -l**5/60 + 2*l**2. Calculate u(b(c)). -676*c**4 Let p(j) = -j. Let u(d) be the second derivative of -5*d**4/12 + 5*d**3/6 + 5*d**2/2 + d. Let q(k) = k + 1. Let g(m...
{ "pile_set_name": "DM Mathematics" }
a) x (b) -4 (c) 1 c Let z = 69/13 + -815/156. Let r = -2.87 + 0.07. Let l = r - -3. Which is the smallest value? (a) 3 (b) 2/5 (c) l (d) z d Let i = 1443.8 + -1439.7. What is the fifth biggest value in -1/3, -0.4, -0.2, -2/15, i? -0.4 Suppose 125 + 7 = 102*h + 30. Let g = 2 - 7. Let i = -49/4 - -23/2. Which is th...
{ "pile_set_name": "DM Mathematics" }
term of -3846, -7101, -9738, -11757? 309*k**2 - 4182*k + 27 What is the a'th term of -2944, -12306, -28082, -50272, -78876, -113894, -155326? -3207*a**2 + 259*a + 4 What is the t'th term of 11106126, 11106138, 11106150, 11106162? 12*t + 11106114 What is the s'th term of 13639, 58400, 134285, 241294, 379427, 548684? 155...
{ "pile_set_name": "DM Mathematics" }
= b + -10932. Is z composite? True Suppose 7 + 23 = 10*m. Suppose 2*j = 5*k + 22308, -3*k = -m + 9. Is j composite? False Let n be (-8)/(-36) - 38/9 - -1279. Suppose u - 5528 = n. Is u prime? True Suppose -46 = -d + 14. Let k = d + 144. Let b = k + -109. Is b composite? True Let j(q) be the first derivative of 53*q**6...
{ "pile_set_name": "DM Mathematics" }
om atta. What is prob of sequence atta? 1/6 Two letters picked without replacement from {c: 2, z: 3}. What is prob of sequence zc? 3/10 Calculate prob of sequence dt when two letters picked without replacement from ddtdcudddcuctccdd. 1/17 Two letters picked without replacement from {d: 2, j: 2, c: 3, i: 3, e: 9, f: 1}....
{ "pile_set_name": "DM Mathematics" }
t. 1 Let d = 31 + -28. Let r be 2*(4 + (-36)/d). Let g = r - -18. Solve -h = -2*h + g for h. 2 Let l(k) = -k - 2. Let f be l(-4). Suppose 0*u = u - f. Suppose 0 = w - u*w + 5. Solve -1 = -w*s - 26 for s. -5 Let y be 1 - (-3)/(-4) - (-153)/(-612). Suppose -2*f + 3*s = -6, f + 3*s = 6*f - 33. Let o = -5 + f. Solve 2*n -...
{ "pile_set_name": "DM Mathematics" }
8/8)/(-1) - 1464/(-1472)). 46 What is the value of 33 + 18*((-3)/(-18))/((-18)/(-648)*-9)? 21 -2*(3 - ((-861)/(-82) - (-2 - (-30)/3))) -1 Evaluate (10 + (180/(-675))/((-6)/(-207)))*-10. -8 Evaluate 7665/1752 + 0/(270/36*(-2)/(-3)). 35/8 ((-4)/(-22) - (-19888)/(-77440))/((-18)/15) 1/16 What is the value of ((-1)/(-6))/(...
{ "pile_set_name": "DM Mathematics" }
70015 (base 8) to base 16. 27f00d 2780ad (base 14) to base 10 1366665 530140 (base 7) to base 10 91315 -211110201111102 (base 3) to base 6 -1103543315 What is -48742 (base 10) in base 4? -23321212 What is -730312 (base 10) in base 9? -1332717 What is -2b0973 (base 12) in base 14? -14cdcb -1d230d (base 15) to base 7 -15...
{ "pile_set_name": "DM Mathematics" }
. 39 What is the remainder when 8028128 is divided by 3245? 3243 What is the remainder when 816841 is divided by 272262? 55 Calculate the remainder when 2871893 is divided by 9117. 38 Calculate the remainder when 223059677 is divided by 6068. 6065 What is the remainder when 141133987 is divided by 141133980? 7 What is ...
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from egggegeggggggegeggg. What is prob of sequence ge? 35/171 What is prob of sequence vlri when four letters picked without replacement from lirtv? 1/120 Calculate prob of sequence ff when two letters picked without replacement from orffrrfoooof. 1/11 Two letters picked without replacement...
{ "pile_set_name": "DM Mathematics" }
15624 is divided by 668? 12 What is the remainder when 5005698 is divided by 38? 34 Calculate the remainder when 7890781 is divided by 147. 115 What is the remainder when 199351 is divided by 5048? 2479 What is the remainder when 109414 is divided by 5193? 361 Calculate the remainder when 4190834 is divided by 14352. 5...
{ "pile_set_name": "DM Mathematics" }
wrt z? 384 Find the third derivative of 827*v**3 + 4961*v**2 - 4582*v**2 + v**6 + 0*v**6 wrt v. 120*v**3 + 4962 Suppose -34 = -4*g - 13*g. What is the second derivative of 19*n + 24*n - 18*n + 88*n**g + 75*n wrt n? 176 What is the second derivative of -391*a**5 - 1792*a**5 - 97*a**5 + 1019*a wrt a? -45600*a**3 Find th...
{ "pile_set_name": "DM Mathematics" }
of 5691? 1 What is the hundreds digit of 22532? 5 What is the ten thousands digit of 32992? 3 What is the tens digit of 46? 4 What is the units digit of 19199? 9 What is the hundreds digit of 103453? 4 What is the hundreds digit of 33345? 3 What is the ten thousands digit of 15351? 1 What is the units digit of 100303?...
{ "pile_set_name": "DM Mathematics" }
3, 21050190? -3*n + 21050208 What is the c'th term of -831005, -1662022, -2493039, -3324056? -831017*c + 12 What is the b'th term of -29825, -29822, -29811, -29786, -29741, -29670, -29567? b**3 - 2*b**2 + 2*b - 29826 What is the k'th term of -2423122, -4846249, -7269376, -9692503, -12115630? -2423127*k + 5 What is the ...
{ "pile_set_name": "DM Mathematics" }
ppose 3*o + 3 + 12 = 0. Sort -3, -10, o, 6. -10, o, -3, 6 Suppose -l + 5*l + 8 = 0. Let d = -107 + 106. Put l, d, 0 in ascending order. l, d, 0 Let p = -172 - -171.8. Sort -40, -4, p in decreasing order. p, -4, -40 Let i = 0.15 + 0.55. Let c = 0.9 - i. Let t = 15 + -12. Sort c, -0.4, t. -0.4, c, t Let k be 16/(-20)*25/...
{ "pile_set_name": "DM Mathematics" }
= -2146*w - 298318. Calculate t(-139). -24 Let w(y) = 834201*y + 1668433. Calculate w(-2). 31 Let c(z) = -178*z + 7741. Calculate c(44). -91 Let f(l) = 686*l - 15088. Calculate f(22). 4 Let f(k) = -105*k**2 + 27*k - 130. What is f(4)? -1702 Let o(g) = -g**3 - 132*g**2 - 3397*g - 333. What is o(-97)? -139 Let x(i) = -50...
{ "pile_set_name": "DM Mathematics" }
sqrt(11))*2 - ((sqrt(77)*-1*6)/sqrt(7))**2. -393 Simplify (-2*sqrt(104)*-2)/sqrt(8) + -2. -2 + 4*sqrt(13) Simplify -1 + sqrt(7) + 1 - (5 + sqrt(35)/sqrt(5)). -5 Simplify (6*((sqrt(192)*1 + 0 - sqrt(192)) + 2))**2. 144 Simplify (6*sqrt(33)/(sqrt(396)*-3))**2. 1/3 Simplify -2 + sqrt(272) + 5. 3 + 4*sqrt(17) Simplify ((sq...
{ "pile_set_name": "DM Mathematics" }
when 2628632 is divided by 213. 212 Calculate the remainder when 38351 is divided by 30. 11 What is the remainder when 3375 is divided by 1114? 33 What is the remainder when 399 is divided by 329? 70 Calculate the remainder when 191091 is divided by 23. 7 Calculate the remainder when 3007 is divided by 2384. 623 What i...
{ "pile_set_name": "DM Mathematics" }
to the nearest ten? -20 Let d be (-8)/(-4) + 3*4461. Let c = 117385 - d. Round c to the nearest ten thousand. 100000 Let o = -14 - -11. Let t = 2 - 4. Let n be (t - o) + 55001/(-1). Round n to the nearest ten thousand. -60000 Let r = -531153592.6 - -531153615.90000103. Let d = r + -23.3. What is d rounded to seven dps...
{ "pile_set_name": "DM Mathematics" }
**2 + 13*v - 4. Let r(a) = -a**3 + 2*a**2 - 3*a + 1. Give l*r(o) - 2*y(o). -o**3 + o - 1 Let w(t) = -3*t - 2. Let n(m) be the first derivative of -3*m**2/2 - 3*m - 65. Give -3*n(u) + 4*w(u). -3*u + 1 Let x(n) = -n + 1. Let l(f) = 17*f**2 - 102*f + 102. What is l(p) - 102*x(p)? 17*p**2 Let h = 146 + -149. Let u(x) = 0*x...
{ "pile_set_name": "DM Mathematics" }
80*t - 253)*(-3*t + 6*t + 0*t). 242*t**2 - 2*t + 1 Expand (-15*g - 14*g - 11*g)*(0*g**3 - g**3 - g**3 + (-2 + 2 - g**3)*(-1 - 2 + 2)). 40*g**4 Expand (-3*a + 2*a + 2*a)*(3558*a - 515*a**2 - 3558*a). -515*a**3 Expand 34*a**5 + 19*a**5 - 10*a**5 + (0*a + 2*a + a)*(2*a**3 - a**4 - 2*a**3). 40*a**5 Expand (5*a - 2*a + 3*a ...
{ "pile_set_name": "DM Mathematics" }
z and 3? 3 Let h(a) = a**2 + a + 110. Let o be h(0). Suppose -16 = 5*l - 3*l. Let v(c) = -c**3 - 8*c**2 + 10. Let s be v(l). What is the highest common factor of o and s? 10 Suppose 212 = 2*c - 2*f - 2*f, 418 = 4*c - 2*f. Let l(a) = a**3 - 10*a**2 - 11*a + 13. Let p be l(11). What is the greatest common divisor of p a...
{ "pile_set_name": "DM Mathematics" }
((sqrt(768)*-4 + sqrt(768))*-3*-2)/(-6*-4*sqrt(36)*6). -sqrt(3)/3 Simplify 1 + (4*5*(2*sqrt(605) + 3 - (sqrt(605) + ((sqrt(605) - sqrt(605)*2) + sqrt(605))*-5)) + 5)**2 + 3. 28600*sqrt(5) + 246229 Simplify (-2*-1*(-3 + -2 + -6*(-1 + (sqrt(200) - (sqrt(200) + -1)))) + 1)**2. 81 Simplify (5*(sqrt(648) + (sqrt(648) - (sqr...
{ "pile_set_name": "DM Mathematics" }
Let k(t) = -4*t**3 + t**2. Let z be k(w). Solve -g + q + 6 = -2*g, 0 = c*g - z*q - 16 for g. -2 Suppose -3*g + 16*g - 2*g = 0. Suppose 5*a + 9 = 4*d - 3*d, 3*d = 2*a + 14. Let w = d - -10. Solve -4*m + 2*h + w + g = 0, 4*m = -2*h - 6 for m. 1 Let m(i) = -2*i - 7. Suppose 4*y = 8*y. Suppose 0 = -y*s + 3*s + 18. Let f b...
{ "pile_set_name": "DM Mathematics" }
in nanometers? 375 Convert 0.4908252mg to grams. 0.0004908252 How many millilitres are there in 32/5 of a litre? 6400 What is 31/5 of a kilogram in grams? 6200 What is 7/2 of a millennium in months? 42000 How many nanograms are there in twenty-one eighths of a microgram? 2625 Convert 0.9723582km to nanometers. 97235820...
{ "pile_set_name": "DM Mathematics" }
, 0.06, -0.3, -2? 0.06 What is the nearest to -38 in 2/19, 6, 3, -0.3? -0.3 Which is the closest to -2? (a) 0.1 (b) -0.2 (c) -28 (d) -8 (e) -2/7 e What is the closest to -0.4 in -109/5, 5, -2/17? -2/17 What is the nearest to -714 in 2, 0, 0.2? 0 Which is the nearest to -2/5? (a) -6 (b) -0.047 (c) -5 (d) -9 (e...
{ "pile_set_name": "DM Mathematics" }
3, 59 List the prime factors of 269. 269 List the prime factors of 45518. 2, 11, 2069 What are the prime factors of 136697? 11, 17, 43 What are the prime factors of 8987? 11, 19, 43 List the prime factors of 2234. 2, 1117 What are the prime factors of 1710? 2, 3, 5, 19 What are the prime factors of 151544? 2, 19, 997 L...
{ "pile_set_name": "DM Mathematics" }
2.05. What is the second biggest value in 2, u, -5, b? b Let b = -0.83 + 1.09. Let p = b - -0.04. Let g = 37/2 - 19. What is the second smallest value in p, g, -2? g Let p be -1 + 6 - (-2 + 1). Let t be (4/9)/((-6)/(-27)). Let h be t/p + 5/3. Which is the third biggest value? (a) 5 (b) 3/5 (c) h b Let k = -193 - -19...
{ "pile_set_name": "DM Mathematics" }
157? False Is -0.3 less than or equal to 97? True Are -15 and -7 nonequal? True Which is smaller: -158 or 0.2? -158 Is 3916 not equal to 3916? False Which is smaller: -1.15 or 16? -1.15 Is -1 bigger than 27/85? False Which is smaller: 937 or 6562/7? 937 Is -316/83 at least -5? True Is 1 smaller than 2/157? False Which ...
{ "pile_set_name": "DM Mathematics" }
41*f - 2341. Calculate c(-74). 101 Let l(k) = -6*k**2 + 1600*k - 15985. Give l(10). -585 Let v(z) = 6*z**2 + 164*z - 3358. Calculate v(19). 1924 Let x(y) = -y**3 - 5*y**2 + 886*y - 6345. What is x(8)? -89 Let l(s) = -s**3 - 30*s**2 + 85*s + 40. What is l(3)? -2 Let w(p) = 5491*p - 466744. Determine w(85). -9 Let c(j) =...
{ "pile_set_name": "DM Mathematics" }
- 135)*(v + 1)*(v + 4) Factor x**2/11 - 175*x/11 - 2850. (x - 285)*(x + 110)/11 Determine q, given that 2*q**4/17 + 2270*q**3/17 + 692058*q**2/17 + 26631970*q/17 - 27326300/17 = 0. -545, -46, 1 Factor 2*g**4/11 - 7486*g**3/11 + 6986272*g**2/11 + 35118760*g/11. 2*g*(g - 1874)**2*(g + 5)/11 Determine p, given that 3*p**5...
{ "pile_set_name": "DM Mathematics" }
))/((sqrt(90)/sqrt(75))/sqrt(5)))**2. 5200 Simplify 3 + 2*(sqrt(162) + -1) - -2*(sqrt(128) - 4*(sqrt(128) + 0)). -30*sqrt(2) + 1 Simplify ((sqrt(108)/sqrt(81) - sqrt(12) - sqrt(108)/(sqrt(27)/sqrt(3)))/(-6*sqrt(600)*-3 + sqrt(600)))**2. 1/6498 Simplify 1 + ((5 + sqrt(11)*-3)**2*-2 - (-2 + -4 + sqrt(55)/sqrt(5))**2). -2...
{ "pile_set_name": "DM Mathematics" }
be -9*2*(-2)/v. What is the closest to 8 in 3, 1, q? 3 Let z = 33 + -167/5. Let q(t) = -t**3 + 7*t**2 - 5*t - 8. Let o be q(6). Let l be (-1 + 2 + o)/4. What is the nearest to z in 4/9, l, 0? l Suppose z - n - 4 = -3*z, 4 = 4*z + 2*n. Let h(x) = -x - 2. Let m be h(-2). Let f = m - z. Which is the nearest to 0.1? (a) ...
{ "pile_set_name": "DM Mathematics" }
tters picked without replacement from bbbbbbbbbb. What is prob of picking 3 b? 1 Three letters picked without replacement from aanrnaanaaaaazrna. What is prob of picking 2 a and 1 z? 9/136 Two letters picked without replacement from hhhjhhhjeeehhjhheh. What is prob of picking 2 e? 2/51 Three letters picked without repl...
{ "pile_set_name": "DM Mathematics" }
he second derivative of -4079*l**3 + 970*l? -24474*l What is the second derivative of -107712*d**3*y**2 + 2*d**3 - 26*d**2*y - 7*d**2 - 7 wrt y? -215424*d**3 What is the first derivative of 108450*t**3 - 418177? 325350*t**2 What is the third derivative of 190313*g**3 - 274752*g**2? 1141878 Find the second derivative of...
{ "pile_set_name": "DM Mathematics" }
late d(c(j)). -2*j - 102 Let d(a) = -2*a. Let r(v) = 7*v + 4. Suppose -2*h + 5*h - 15 = 0. Let l be r(h). Let c(g) = 10*g**2 - 39 + l. Calculate d(c(q)). -20*q**2 Let x(l) = -201*l**2. Let d(t) = 5*t**2 - 6*t + 2. Let w(h) = 11*h**2 - 15*h + 5. Let v(i) = -5*d(i) + 2*w(i). What is v(x(p))? -121203*p**4 Let n(c) = c. Le...
{ "pile_set_name": "DM Mathematics" }
0 - 1) as c*f**4 + m*f**2 + k*f + z*f**3 + i and give c. 5256 Express -1173*k - 356 - 361 + 717 - 20519*k as v + j*k and give j. -21692 Express (-2 + 0 + 3)*(y + 7*y - 2*y + (125*y - 298 + 298)*(0 + 0 - 1))*(-2 - 2*y + 2 + (0*y - 2*y + 4*y)*(-2 + 1 - 1)) in the form g*y + u + l*y**2 and give l. 714 Rearrange ((-1 + 1 -...
{ "pile_set_name": "DM Mathematics" }
0*n**2 + 6. Let w(f) = -2*f**3 - 3*f**2 + 2. Give 7*w(g) - 2*z(g). -2*g**3 - g**2 + 2 Let o(k) = k**2 - 2*k**3 + 1 - 2 + k**3. Let j(y) = -y**2 - 1. Suppose 5*v - 1 = 2*x, 4*v + 17 - 15 = 3*x. Calculate v*o(h) - j(h). -h**3 + 2*h**2 Let r(y) = -3*y**3 - 3*y**2 - 8*y - 15. Let z(l) = -l**2 - 2*l - 1. Determine -r(t) + 3...
{ "pile_set_name": "DM Mathematics" }
2 - -81? 83 In base 13, what is -1 - 929? -92a In base 3, what is 1 - 10022? -10021 In base 7, what is 1 + 535? 536 In base 14, what is 0 + -35? -35 In base 7, what is -11314 + 4? -11310 In base 10, what is -12 - -48? 36 In base 14, what is 96 - -5? 9b In base 2, what is -1001100 + 101? -1000111 In base 2, what is 1001...
{ "pile_set_name": "DM Mathematics" }
. 3 Calculate -3 - (26 + -12 - 14). -3 What is 124 - 116 - (15 + -1)? -6 What is -1 + 14 - (-5 + 24)? -6 Calculate 0 + (-7 - -1) + 351 + -345. 0 Calculate 3 + (3 - 9 - (2 - 7)). 2 Evaluate (4 - 1) + (2 - 0). 5 Calculate -7 + -3 + -1 + 6. -5 -2 + (0 - 3) + -1 + 3 -3 What is the value of -24 + 10 + 18 + (-10 - -1)? -5 4 ...
{ "pile_set_name": "DM Mathematics" }
alue in 130, -2, 3972, 4? 4 Which is the third smallest value? (a) -5 (b) -1 (c) 1 (d) 9/365 (e) -2 b What is the second smallest value in 1/10, -2/5, -1/2, 50, -20060? -1/2 What is the second smallest value in -2222, 0.209, 3, -3? -3 What is the sixth smallest value in -1/7, 1/7, -5, -1/3, -0.1, 1, -59? 1/7 Which...
{ "pile_set_name": "DM Mathematics" }
12010/7. Let a = l - 347/63. Put a, 1, 5, 1/2 in ascending order. a, 1/2, 1, 5 Let k be (8/12)/(110/(-15)). Put k, -2/19, -5 in ascending order. -5, -2/19, k Suppose -5 = 5*v - v - 3*r, 0 = 5*v - r + 9. Let q be (4 + 1)*((-156)/(-20) - 5). Sort -3, v, q, 4. -3, v, 4, q Suppose 0 = 3*s, -t - 3*s + 6*s = -5. Suppose k = ...
{ "pile_set_name": "DM Mathematics" }
? 28 Suppose 3*o - 3*q + 2*q - 10 = 0, o - 3*q - 6 = 0. Let r = 15 + o. What is the greatest common divisor of 36 and r? 18 Let z be 276/9 - (-2)/(-3). Let c(s) = s**3 + 5*s**2 - 3*s - 1. Let a be c(-4). Let q = a - 15. Calculate the greatest common factor of q and z. 6 Let d(v) = -v + 1. Let h(p) = -6*p - 1. Let k be ...
{ "pile_set_name": "DM Mathematics" }
to two decimal places. 0.19 Round 409270 to the nearest 100000. 400000 Round 10.9072 to 1 decimal place. 10.9 Round -0.0002789 to five decimal places. -0.00028 Round 2.48 to the nearest ten. 0 Round 0.0065101 to five decimal places. 0.00651 What is -24640000 rounded to the nearest 1000000? -25000000 What is -0.0000713...
{ "pile_set_name": "DM Mathematics" }
9*y - 2 + 11 = 0. Let z(d) = -d. Let v(q) = y*h(q) + 3*z(q). List the prime factors of v(4). 2, 3, 5 Let x be 0/(182/70 - 6/10). Let p(i) = -i**3 + 2*i**2 + 7*i + 1305. List the prime factors of p(x). 3, 5, 29 Suppose -25 + 29 = 2*k. Suppose 3*v - 14 = k*w, -5*w = -3*v - 10*w - 14. List the prime factors of v. 2 Let r ...
{ "pile_set_name": "DM Mathematics" }
+ -35370. Solve -r*w + 602*w = 0 for w. 0 Suppose 12*q + 224 = 668. Solve -2*c - q = -29 for c. -4 Let a(l) = l**3 - 4*l**2 + l - 26. Let z be (60/(-24))/(-1 + 2/4). Let m be a(z). Solve -2*h = -m*h - 2 for h. -1 Let o be ((-515)/(-9) - 192/864) + -12. Solve -40*f + o = -55*f for f. -3 Let x = -138377 + 138386. Let z(...
{ "pile_set_name": "DM Mathematics" }
he value of (13/2)/(1989/19278)? 63 What is the value of (-2915)/((-17543)/(-331))*2/5? -22 What is the value of ((-14)/4599)/((-124)/4464)*6/24? 2/73 What is the value of (-5)/20*-4*-2*-14*132/(-77)? -48 Evaluate 5775/(-77)*(-34)/(-34). -75 What is the value of ((-12500)/350)/((-26)/(-2548)*-35)? 100 What is (((-6)/(-...
{ "pile_set_name": "DM Mathematics" }
-16, -1 Let i(y) = -66*y**4 - 556*y**3 + 430*y**2 + 153*y. Let w(s) = 32*s**4 + 277*s**3 - 215*s**2 - 76*s. Let a(u) = 6*i(u) + 13*w(u). Suppose a(g) = 0. Calculate g. -14, -1/4, 0, 1 Let m(a) be the second derivative of a**5/90 - 13*a**4/54 - 10*a**3/9 - 9*a - 10. Factor m(s). 2*s*(s - 15)*(s + 2)/9 Suppose 32 + 6 = 2...
{ "pile_set_name": "DM Mathematics" }
9 Let t(m) = -m**3 + 7*m**2 - 27*m + 218. Let a be t(6). Calculate the highest common factor of 9407 and a. 23 Let n be 156*(0 - (-2)/4). Let d(v) = v**3 - 3*v**2 - 12*v + 49. Let p be d(8). What is the highest common divisor of p and n? 39 Suppose 12*n + 2*o - 6818 = 8*n, 4*o - 5116 = -3*n. What is the highest common ...
{ "pile_set_name": "DM Mathematics" }
nded to the nearest one million? -79000000 What is -0.699 rounded to one decimal place? -0.7 Round -15.4 to the nearest ten. -20 What is -0.00008068 rounded to six dps? -0.000081 Round 0.00005533 to 6 dps. 0.000055 What is -0.000007404 rounded to six decimal places? -0.000007 What is -1070.34 rounded to the nearest one...
{ "pile_set_name": "DM Mathematics" }
= -1 - 1. Let m(s) = -9*s - 51. Let u be m(-14). Let h = u + -75. Which is the closest to 0? (a) k (b) h (c) 5 b Let d = -1223 + 1358.2. Let o = -135 + d. Which is the nearest to o? (a) -0.1 (b) -2/13 (c) -0.02 c Let z(t) = t**3 + 9*t**2 + 13*t - 26. Let o be z(-8). Let s be 3*(o/(-30) - 2). Let l = -2 + 3. What ...
{ "pile_set_name": "DM Mathematics" }
-71676280 divided by -169. 424120 Calculate 188070165 divided by 395. 476127 Divide 1 by 4842298. 1/4842298 -9 divided by -118232468 9/118232468 What is 10153 divided by -152? -10153/152 Divide 631 by -2191. -631/2191 What is 45327321 divided by -29801? -1521 What is 180152280 divided by -804? -224070 What is -13071660...
{ "pile_set_name": "DM Mathematics" }