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0 = -3*y + 3. Find the second derivative of 4*o - 2*o**4 - 3*o + r*o - o wrt o. -24*o**2 Let c(w) be the second derivative of -w**7/360 + w**5/30 - 5*w**4/12 + 8*w. Let v(x) be the third derivative of c(x). Differentiate v(i) with respect to i. -14*i Let q = -8 + 11. Suppose q*t - 6 = 0, 4*y - t - 3 = 7. Find the secon...
{ "pile_set_name": "DM Mathematics" }
t is the j'th term of 2275762, 4551529, 6827288, 9103033, 11378758, 13654457, 15930124? -j**3 + 2*j**2 + 2275768*j - 7 What is the b'th term of 59902, 60053, 60204, 60355, 60506? 151*b + 59751 What is the r'th term of -4164302, -4164301, -4164300, -4164299, -4164298? r - 4164303 What is the n'th term of -732, -1313, -2...
{ "pile_set_name": "DM Mathematics" }
to 10 in 5, 2/21, 3, 19? 5 What is the closest to -0.1 in 0.7, 1/7, 0.5? 1/7 What is the nearest to -1/16 in -1/5, -2/3, -3/2, -1/3? -1/5 Which is the nearest to 0? (a) -4 (b) 2/9 (c) -79 (d) -1/3 b Which is the closest to -0.1? (a) 0.1 (b) 0.05 (c) 3 (d) 0.4 b What is the closest to 1 in -0.5, 20/41, -3? 20/41...
{ "pile_set_name": "DM Mathematics" }
i**2 + 3*i - 415554 What is the c'th term of -1182228, -1182229, -1182238, -1182261, -1182304, -1182373, -1182474, -1182613? -c**3 + 2*c**2 - 1182229 What is the j'th term of -17360991, -17360992, -17360991, -17360988, -17360983, -17360976, -17360967? j**2 - 4*j - 17360988 What is the c'th term of -640008, -639960, -63...
{ "pile_set_name": "DM Mathematics" }
*v - 3. Let z be u(5). Let k = z + 242. Is k composite? True Let j(h) = -7752*h + 967. Is j(-50) a prime number? True Suppose -3*d + 3*s + 0*s + 9114 = 0, 0 = 5*d + s - 15184. Is d a composite number? False Suppose 28 = 15*k - 10*k + 4*n, -k - 4 = -4*n. Suppose k*b = 13220 + 7632. Is b a composite number? True Is (-143...
{ "pile_set_name": "DM Mathematics" }
-u for a. 2 Let w(r) = 9*r**3 - 2*r - 1. Let q(c) = 9*c**3 - c**2 - 3*c - 1. Let f(l) = -2*q(l) + 3*w(l). Let d be f(1). Solve -2 - d = -4*u for u. 3 Let w(y) = 17*y - 58. Let k be w(3). Let m(n) = 7*n**2 - 4*n**3 + n**3 + 4*n**3 + 4. Let z be m(k). Solve g = -z + 2 for g. -2 Suppose 3*p - 41 = 40. Solve -31*f + p*f = ...
{ "pile_set_name": "DM Mathematics" }
erivative of -45904*t**2 - 10347*t - 3 wrt t. -91808 What is the second derivative of 82927*j**4*k**3 - j**3*k**3 - 6*j*k**2 - 1435*j*k - k**3 - 6*k**2 wrt j? 995124*j**2*k**3 - 6*j*k**3 Differentiate -19871*p*s**2 + 25566*s**2 wrt p. -19871*s**2 What is the derivative of -62077*h**2*s + 354289*h**2 wrt s? -62077*h**2 ...
{ "pile_set_name": "DM Mathematics" }
w(-7). -28 Let j(z) = z**2 - 14*z - 24. What is j(16)? 8 Let t(c) = -c**3 + 3*c**2 + 5*c - 9. What is t(4)? -5 Let m(d) = 32*d + 34. Determine m(-3). -62 Let h(b) = -b**3 - 2*b**2 + 5*b + 5. Give h(-3). -1 Let g(f) = 14*f - 6. Determine g(-2). -34 Let k(l) = -3*l + 29. Determine k(2). 23 Let s(p) = p**2 + 11*p - 26. Ca...
{ "pile_set_name": "DM Mathematics" }
74*v**4 - v**3 - 324*v**2 + 23948594? -12696*v**3 - 3*v**2 - 648*v Find the third derivative of 371881*p**4 - 5*p**3 + 27789118*p**2. 8925144*p - 30 What is the second derivative of -2*c**2*m**3*u**2 - 15157529*c**2*m**3*u + 994*c*m**3*u**2 + 4538*c*u**2 + 24*m**3*u**2 wrt c? -4*m**3*u**2 - 30315058*m**3*u Find the thi...
{ "pile_set_name": "DM Mathematics" }
5*u + 2 = 12. Let a be 4/(u - 111/(-54)). What is the greatest common factor of 9 and a? 9 Let l = -31 + -9. Let v(x) = -x**3 - 2*x**2 + 5*x + 4. Let d be v(-3). Let n be 5/d*32/l. What is the greatest common divisor of 16 and n? 2 Let r = 173 - 103. What is the greatest common divisor of r and 14? 14 Let f = -6 + 37. ...
{ "pile_set_name": "DM Mathematics" }
oot of 8924369 to the nearest integer? 55 What is 8153782 to the power of 1/5, to the nearest integer? 24 What is the square root of 2483749 to the nearest integer? 1576 What is 110461 to the power of 1/7, to the nearest integer? 5 What is 3735064 to the power of 1/3, to the nearest integer? 155 What is the square root...
{ "pile_set_name": "DM Mathematics" }
sing order. 9, 1, -2, -6, -91 Put 0.79507, 3, 0.15, 0 in decreasing order. 3, 0.79507, 0.15, 0 Sort -6, 3, -22161 in ascending order. -22161, -6, 3 Put -0.5, 4, -83, -5, 10 in ascending order. -83, -5, -0.5, 4, 10 Put -5, -1, 23, 3, -2 in decreasing order. 23, 3, -1, -2, -5 Put -5647, -7, 15 in increasing order. -5647,...
{ "pile_set_name": "DM Mathematics" }
2022201121121 (base 3) in base 16? 5bd24e 111011111010100 (base 2) to base 8 73724 What is 5156650 (base 7) in base 5? 124310234 What is 1301333 (base 6) in base 12? 34849 Convert 2142224120 (base 5) to base 6. 243345324 Convert -25144243 (base 7) to base 6. -120301551 What is -23245314 (base 6) in base 2? -10110000001...
{ "pile_set_name": "DM Mathematics" }
sands digit of 41855? 1 What is the hundreds digit of 743? 7 What is the units digit of 1124? 4 What is the tens digit of 5818? 1 What is the ten thousands digit of 91510? 9 What is the thousands digit of 27268? 7 What is the hundred thousands digit of 109824? 1 What is the tens digit of 22670? 7 What is the ten thousa...
{ "pile_set_name": "DM Mathematics" }
h(f) = f**3 - 7*f**2 + 7*f - 4. Let y be h(6). Suppose -2*a**4 + 8*a**3 + 14*a - 2 - 12*a**y - 5*a - a = 0. Calculate a. 1 Let -2*o**2 + 2/5*o**3 + 0 + 8/5*o = 0. What is o? 0, 1, 4 Let f = -3529 - -3529. Factor 0*r**2 - 1/9*r**3 + f + 2/9*r**4 + 0*r - 1/9*r**5. -r**3*(r - 1)**2/9 Let v(f) be the second derivative of ...
{ "pile_set_name": "DM Mathematics" }
ivided by 41. 13 Calculate the remainder when 5819085 is divided by 3811. 3499 Calculate the remainder when 73215 is divided by 2820. 2715 Calculate the remainder when 44797 is divided by 7388. 469 What is the remainder when 16478498 is divided by 5492823? 29 Calculate the remainder when 545190454 is divided by 9889. 9...
{ "pile_set_name": "DM Mathematics" }
0. What is the remainder when 610 is divided by j? 12 Suppose 3*i = i + 166. What is the remainder when i is divided by (-19)/(-3)*5 + (-87)/(-261)? 19 Suppose 0 = -t - 3*k + 20, -2*k + 28 = -2*t + 84. What is the remainder when 115 is divided by t? 11 Suppose 15*z + 42*z - 30235 = 14168. Calculate the remainder when 1...
{ "pile_set_name": "DM Mathematics" }
n. Calculate the greatest common factor of q and l. 1 Let y = -4 + 5. Suppose 3*j + 3*t + 6 = 0, -5*t + 0*t = 2*j + y. Let b(g) = -4*g - 2. Let d be b(j). What is the greatest common divisor of 70 and d? 10 Let q(c) = 5*c - 1. Let y be q(5). Let a = y - 11. Let h = -9 - -22. Calculate the highest common factor of a and...
{ "pile_set_name": "DM Mathematics" }
sqrt(2)))**2. -248*sqrt(2) + 675 Simplify -3*(5 + sqrt(700)). -30*sqrt(7) - 15 Simplify 2 + sqrt(19) + 1 - sqrt(190)/(sqrt(20)/sqrt(2)). 3 Simplify -3 + 3 + 6*(sqrt(10)/sqrt(2))**2. 30 Simplify (sqrt(68) + (sqrt(68) + sqrt(68) + sqrt(68)*-1)*-2)/(sqrt(4) + sqrt(4) + sqrt(44)/(sqrt(22)/sqrt(2)) + sqrt(4)). -sqrt(17)/4 S...
{ "pile_set_name": "DM Mathematics" }
*2 Let g(v) be the first derivative of -3*v**2 + 11*v + 3. Let q(h) be the second derivative of -h**3/6 + h**2 + 2*h + 23. Determine -4*g(b) + 22*q(b). 2*b Let h(p) = -3*p**2 - 2*p - 3. Let f(s) = s**3 + 12*s**2 + 12*s + 13. Let r be f(-11). Let l(j) = j**r + 0 - 5 + j + 8 - 2. Determine 3*h(a) + 7*l(a). -2*a**2 + a - ...
{ "pile_set_name": "DM Mathematics" }
32 = 0. Calculate k. -46, 364 Factor 2*n**2 - 2026*n + 45540. 2*(n - 990)*(n - 23) Determine n, given that -5*n**3/4 + 2765*n**2/4 - 95910*n + 95220 = 0. 1, 276 Factor -j**2/9 + 641*j/9 + 644/3. -(j - 644)*(j + 3)/9 Let -8*c**2/9 - 21022*c/9 + 584 = 0. What is c? -2628, 1/4 Solve -4*g**2 + 1304184*g - 106305994116 = 0 ...
{ "pile_set_name": "DM Mathematics" }
231 What are the prime factors of 948116? 2, 13, 18233 What are the prime factors of 2793658? 2, 7, 31, 41, 157 What are the prime factors of 10901959? 10901959 What are the prime factors of 567850? 2, 5, 41, 277 List the prime factors of 24117134. 2, 197, 61211 What are the prime factors of 1249984? 2, 19531 List the ...
{ "pile_set_name": "DM Mathematics" }
r when 26 is divided by k? 8 Suppose 5*c - 344 = c. Suppose 3*k = 5*g + 56, 3*g = -3*k - k + 94. Calculate the remainder when c is divided by k. 20 Suppose -5*o = 2*j - 160, 2*o - 99 + 19 = -4*j. Calculate the remainder when o is divided by 8. 6 Suppose 5*m = -2*u + 49, 15 = 3*m - 2*u - 8. Suppose 5*f - 2*f = m. Suppos...
{ "pile_set_name": "DM Mathematics" }
e of -89/20*q**5 + 34/3*q**4 + 0*q**3 + 115*q + 0*q**2 - 1/15*q**6 + 0. What is the third derivative of v(c) wrt c? -48*c - 534 Let z(l) be the second derivative of -2307*l**3/2 - 7819*l**2/2 - l + 2119. Differentiate z(y) wrt y. -6921 Let l(j) = -4535*j**3 + 9*j**2 - 862*j. Let a(r) = 7936*r**3 - 16*r**2 + 1508*r. Let...
{ "pile_set_name": "DM Mathematics" }
/1405. Which is the biggest value? (a) o (b) 1/9 (c) -4 b Let b = 122 - 128. Let t = -4.07 + 0.07. What is the second smallest value in 3, b, 1/5, t? t Let u = -105.4 - -105. What is the biggest value in -1/6, -4/3, -2, u? -1/6 Let l = 249 - 178. Let d = -69 + l. What is the third smallest value in -2/15, 0.2, d? d ...
{ "pile_set_name": "DM Mathematics" }
(-2 - -17) - 18)? 88 -122 + 45 - (251 - 371) 43 Evaluate (38 - 118) + -23 - (-2 + 5 + -23). -83 What is the value of -39 - -4 - (1027 - 996)? -66 Calculate 46 + (29 + -22 - 5). 48 Evaluate (11 - 19) + -13 - -28 - -43. 50 (-38 - -43 - 27 - -65) + 52 95 (2834 - 2956) + 85 + -3 -40 -6 + 1 - (7 + -34 - (-18 + -6)) -2 Calc...
{ "pile_set_name": "DM Mathematics" }
*y - 4*q + 34. Let k = -9 - y. Calculate the remainder when 2 is divided by k. 0 Suppose 0*t - 4*t = 0. Suppose -2*a + 10 + 4 = t. Calculate the remainder when 19 is divided by a. 5 Suppose 3*b + p + 21 = 4*p, 0 = -2*b - p - 11. Suppose -4*n = -3*z - 24, -2*n = z - 4*z - 18. Calculate the remainder when 56 is divided b...
{ "pile_set_name": "DM Mathematics" }
n z, x, 2/13? x Let g = -0.05 - 0.25. Let x = -126/55 - -34/11. Which is the nearest to 1? (a) g (b) 4 (c) x c Let x(i) = i**2 - 3*i + 3. Let l be 16/4 + 0 + -2. Let j be x(l). Which is the nearest to j? (a) -2/11 (b) 3 (c) 2 c Let r = -113/3 - -38. What is the nearest to r in -2/5, -2/3, 24? -2/5 Let j be ((-6)/...
{ "pile_set_name": "DM Mathematics" }
b Find the second derivative of -1462 - 13*o + 39*o**3 + 1462 wrt o. 234*o Let t(r) be the third derivative of -r**7/105 + 2*r**5/15 - 12*r**2. What is the third derivative of t(g) wrt g? -48*g Let p be (-2 - -2) + 1 + 7. Suppose 2 + p = 2*o - 3*q, 0 = o + 5*q + 8. What is the derivative of 0*w**3 - o*w**3 - 2 + 4 wrt ...
{ "pile_set_name": "DM Mathematics" }
t: 9, d: 4}. Give prob of sequence dd. 1/20 Calculate prob of sequence ddhd when four letters picked without replacement from {f: 2, h: 6, b: 1, d: 3}. 1/330 Two letters picked without replacement from {t: 15, w: 4}. Give prob of sequence tw. 10/57 Three letters picked without replacement from tktlttntlnnnl. What is p...
{ "pile_set_name": "DM Mathematics" }
k and give a. 156 Express (-21*w**2 + 0*w - 2*w + 32*w**2)*(-2*w + 4*w + 2*w) in the form o + c*w + i*w**3 + h*w**2 and give h. -8 Rearrange 2*o**2 - 8 + 5 + 4 - 53 to the form q + j*o + c*o**2 and give c. 2 Rearrange -1504*i**2 + 1739*i**2 - 2*i + 0*i to the form o*i + n*i**2 + b and give o. -2 Express 207 - 204 + s*...
{ "pile_set_name": "DM Mathematics" }
What is the tens digit of 67030985? 8 What is the ten millions digit of 24170388? 2 What is the hundred millions digit of 998648613? 9 What is the millions digit of 21417703? 1 What is the hundreds digit of 3628281162? 1 What is the units digit of 21106157? 7 What is the hundreds digit of 53117405? 4 What is the thous...
{ "pile_set_name": "DM Mathematics" }
2, 11 What are the prime factors of (-352)/220 - (-7748)/5? 2, 3, 43 Let w = -14 - -28. Let j = w + 19. Suppose 5*y = 5*a - 595, 0 = a - 4*y - 98 - j. List the prime factors of a. 5, 23 Suppose -2*r - 9 = -4*r - w, 0 = -r + 4*w - 9. What are the prime factors of r/12*1957 - (-12)/(-48)? 3, 163 Let r = -33 - -18. Let g...
{ "pile_set_name": "DM Mathematics" }
*a**2 + 328*a Differentiate 3*o**4 - 233*o + 13175. 12*o**3 - 233 Find the third derivative of 27207*b*v**3 - 4*b*v**2 + 8*b + 2*v**2 - 12*v wrt v. 163242*b What is the third derivative of 8906*x**5 + 1043508*x**2? 534360*x**2 Find the second derivative of 21817*a**2*r**2 + 2*a**2*r + 2*a**2 + 12964*a*r - 8*r**2 wrt a....
{ "pile_set_name": "DM Mathematics" }
17/772. 3088 What is the smallest common multiple of 605 and 165? 1815 What is the least common multiple of 63 and 2576? 23184 Find the common denominator of 26/11 and -101/88. 88 Calculate the common denominator of 49/8720 and -41/6976. 34880 What is the common denominator of -101/44 and 79/228? 2508 Find the common ...
{ "pile_set_name": "DM Mathematics" }
third derivative of 36*j**2 - 1/270*j**5 - 1/54*j**4 + 0*j + 0 - s*j**3. Determine i so that n(i) = 0. -1 Let p(d) = d**3 + 20*d**2 - 383*d - 7220. Let r be p(-23). What is i in -16384/7 - 512/7*i - 4/7*i**r = 0? -64 Let q(a) be the first derivative of 0*a - 6*a**2 + 13/84*a**4 + 11 - 1/42*a**5 + 2/7*a**3. Let r(f) be...
{ "pile_set_name": "DM Mathematics" }
1}? 3/110 Three letters picked without replacement from tkrrnttjtktttrtkr. Give prob of sequence rjt. 2/255 Two letters picked without replacement from {m: 7, v: 5, n: 2}. What is prob of sequence vv? 10/91 Two letters picked without replacement from ttttwttt. What is prob of sequence tw? 1/8 Calculate prob of sequence...
{ "pile_set_name": "DM Mathematics" }
+ 0 + sqrt(7623))**2 - sqrt(14)/(sqrt(24)/(sqrt(12)*1)). -sqrt(7) + 68607 Simplify 0 + sqrt(52)/sqrt(4)*-3 - (sqrt(1872) + sqrt(1872) + -5*1*sqrt(1872))**2. -16848 - 3*sqrt(13) Simplify (sqrt(200)/(sqrt(80) + sqrt(5)))/(sqrt(405)*-5). -2*sqrt(2)/225 Simplify (-3*((sqrt(2736) - (0 + sqrt(2736) + 0) - (sqrt(2736) + 1 + s...
{ "pile_set_name": "DM Mathematics" }
be o(-1). Let c(p) = -p**3 - 3*p**2 - 10*p - 54. Let b be c(-4). Solve -b*l - 1 = -a*l for l. 1 Let x(z) = z**2 - 7*z + 2. Let v be x(7). Suppose 6*c = -74 - 10. Let g be (-175)/(-49) - 6/c. Solve -2*n + v = -g*n for n. -1 Suppose 4104*n + 904 = 4217*n. Let w = 9 + 9. Solve -n*i - w - 14 = 0 for i. -4 Suppose 8*i + 4*...
{ "pile_set_name": "DM Mathematics" }
, m: 3, x: 5, i: 2, r: 1}. What is prob of sequence xr? 1/42 Calculate prob of sequence lr when two letters picked without replacement from lrlrrlrrrrlrrrlrrr. 65/306 Calculate prob of sequence af when two letters picked without replacement from {i: 2, c: 1, a: 2, f: 1}. 1/15 Three letters picked without replacement fr...
{ "pile_set_name": "DM Mathematics" }
. 210 Calculate the least common multiple of 105 and 30. 210 Find the common denominator of -39/20 and -51/1300. 1300 Calculate the common denominator of -69/28 and 33/68. 476 What is the lowest common multiple of 99 and 102? 3366 Find the common denominator of 71/21 and 25/91. 273 What is the common denominator of 41/...
{ "pile_set_name": "DM Mathematics" }
-2)/(-5))/((-2)/10). Let p be (-2)/t*(8 + s). Which is smaller: 2 or p? p Suppose 7*d = 2*d + 5660. Let k be ((-13)/(-130))/((-2)/d). Let z = k - -57. Which is smaller: 3 or z? z Suppose -a - 2*a + 9 = -3*j, 4*a = -2*j + 30. Let r = 12 + a. Suppose h + 3*m = 4*h - r, 2*h - 4*m = 18. Is h greater than 0? True Suppose -3...
{ "pile_set_name": "DM Mathematics" }
-i - 3*i = -5036. Is i a composite number? False Let z = 10 - 7. Suppose -4*a + 0*n + 4*n = -216, -83 = -2*a - z*n. Is a composite? True Let p be (-1)/(-3 + (-2310)/(-771)). Suppose 0 = -5*m + 3*m - q + p, -q + 638 = 5*m. Is m prime? True Is 560/(0 + 4) - -2 a prime number? False Suppose 0*s + 8396 = 4*s. Is s composi...
{ "pile_set_name": "DM Mathematics" }
2111 (base 3) in base 13? -1bb59 What is -5743 (base 11) in base 6? -54541 1a5 (base 15) to base 2 101111100 What is -101011001101110 (base 2) in base 6? -250234 Convert 13163 (base 7) to base 3. 11211112 Convert -2d1 (base 16) to base 11. -5a6 39080 (base 11) to base 10 55990 -5050 (base 7) to base 15 -7ba What is -65...
{ "pile_set_name": "DM Mathematics" }
*o)/(o*o/o**(1/7)))/((o/o**(-4/7))/o**(-3/8)) assuming o is positive. o**(-65/24) Simplify j**(-4)/(j/(j*j**(-1))) assuming j is positive. j**(-5) Simplify (x**(-10)*x*x**(-8))/(x**(-1)/(x*(x*x*x*x**(-7/3)*x)/x*x*x)) assuming x is positive. x**(-37/3) Simplify ((g/(g/g**(-4/9)*g)*g)/g*g**(-7/3))**(-3/46) assuming g is ...
{ "pile_set_name": "DM Mathematics" }
, -157092, -241075, -325058? -409041 What is next in 52513321, 105026644, 157539967, 210053290, 262566613, 315079936? 367593259 What comes next: -41592, -166383, -374368, -665547, -1039920, -1497487? -2038248 What comes next: -862, -610, -378, -166? 26 What is the next term in 5669, 22753, 51233, 91103, 142357, 204989,...
{ "pile_set_name": "DM Mathematics" }
.3 (b) 80 (c) 1/4 (d) 5 (e) -19/5 (f) 58/7 (g) -3 a Which is the third biggest value? (a) -0.2 (b) -25656.7 (c) 32 b What is the fifth biggest value in 6/5, 8, 7190, -0.3, 2, -0.5, 9? 6/5 What is the third smallest value in 4, 12, -3, -2/5, 1, 3.0364? 1 Which is the third smallest value? (a) 4 (b) -4 (c) -2...
{ "pile_set_name": "DM Mathematics" }
z**2 + x*z**3 + g*z and give o. 2 Express o + 3361*o**3 - 2102*o**3 - 1583*o**3 - 2 - 13 as s + u*o**3 + m*o**2 + j*o and give j. 1 Express 21*t**4 + 45200296 - t**2 + t - 2*t**2 - t**3 - 45200309 as v + k*t**2 + h*t + c*t**3 + o*t**4 and give c. -1 Rearrange 146*d + 155*d - 14*d**2 - 22*d - 978647 + 978646 to the form...
{ "pile_set_name": "DM Mathematics" }
t m(s) = 2*s**2 - s**2 + 0*s**2. Calculate m(h(i)). 4*i**4 Suppose 3*k - 3*a - 83 = -2*k, 2*a = -2. Let f(y) = -k*y**2 + 2*y**2 + 11*y**2. Let c(j) = 5*j + j - 4*j. What is c(f(q))? -6*q**2 Let h(s) = -20*s**2 + 3*s + 3. Let c(v) = 1219*v**2 - 184*v - 184. Let a(p) = -3*c(p) - 184*h(p). Let i(m) = 2*m. Determine i(a(j)...
{ "pile_set_name": "DM Mathematics" }
53 prime? False Is 195751446302 composite? True Is 34093615487 a composite number? True Is 12881784967 composite? False Is 920145367 prime? False Is 1201104901 composite? False Is 832977259 composite? True Is 22411642397 a composite number? False Is 607683407 prime? True Is 8980183659 composite? True Is 1632719409 a co...
{ "pile_set_name": "DM Mathematics" }
d smallest value? (a) -1 (b) 3 (c) o b Let b = 271.3 + -271. Let s = -2.06 + 0.06. What is the third smallest value in 2, s, b? 2 Suppose -2*h - 12 = -6*h. Suppose 5*p - 10 = h*p. Let g be (-1 + -1)*(-2)/(-18). What is the third biggest value in p, g, -3? -3 Let a = 39/4 - 10. Let l = 1.103 - 0.073. Let r = -0.03 + ...
{ "pile_set_name": "DM Mathematics" }
ed by (1 - (-3)/(-2))*-10? 3 Suppose -3*v + 168 = -0*v. Let a be (-303)/(-6)*2 - 12/3. Suppose 4*t + 4*o = o + a, -2*t = 4*o - v. What is the remainder when 43 is divided by t? 21 Let p be (6/1)/((-2)/(-2)). What is the remainder when 0 + 3 + (1 - p) - -19 is divided by 18/(-4)*(-8)/6? 5 Let p = 425 + -391. What is the...
{ "pile_set_name": "DM Mathematics" }
nits digit of n? 5 Let d = 8 - 11. Let n(w) = -2*w + 4*w - w**3 - 4 - w - w**2. What is the tens digit of n(d)? 1 Suppose -30 = -4*a + 2*i, i = 5*a - 4*i - 50. Let k = a - 0. What is the units digit of k? 5 Let t(g) = -g**3 - 8*g**2 - 5*g - 20. What is the hundreds digit of t(-10)? 2 Let v(s) = -8*s. Let a be v(-1). Su...
{ "pile_set_name": "DM Mathematics" }
m of -1102, -1104, -1106, -1108? -2*o - 1100 What is the t'th term of -48, -45, -42, -39, -36, -33? 3*t - 51 What is the o'th term of 18, 56, 94, 132? 38*o - 20 What is the b'th term of -275, -268, -251, -218, -163? b**3 - b**2 + 3*b - 278 What is the t'th term of 96, 60, -36, -222, -528, -984, -1620, -2466? -5*t**3 - ...
{ "pile_set_name": "DM Mathematics" }
54404 Calculate 1.3839*3703. 5124.5817 Calculate -0.2*-6819887. 1363977.4 -0.88483 * 0.3 -0.265449 Product of -0.07 and 5527750. -386942.5 What is -0.14 times -8073.63? 1130.3082 4 times -414.8061 -1659.2244 -10.457093*0.2 -2.0914186 What is the product of 40.63 and 24.441? 993.03783 Product of -4 and 130100. -520400 -...
{ "pile_set_name": "DM Mathematics" }
et a(b) = 4*b + 3. Let o be a(6). Let h = o + -10. Suppose 0 = 4*y + h - 29. Calculate the highest common factor of y and 6. 3 Let o(a) = -a - 60. Let s be o(-70). Calculate the highest common divisor of s and 105. 5 Let h be (-3 - 1) + (39 - 20). What is the highest common factor of h and 12? 3 Suppose 295 = 2*x - 5*t...
{ "pile_set_name": "DM Mathematics" }
f 1632169? True Is 645 a multiple of 3? True Is 6 a factor of 75444? True Does 123 divide 40590? True Is 1871560 a multiple of 54? False Is 12 a factor of 126005? False Is 93088 a multiple of 278? False Is 35 a factor of 15263255? True Does 24 divide 386862? False Does 172 divide 7239653? False Is 32 a factor of 678737...
{ "pile_set_name": "DM Mathematics" }
**2 + 1. Let z(k) = -7*k**2 + 4. Let v(p) = -4*j(p) + z(p). Let q(d) = 46*d + 1. What is v(q(l))? 2116*l**2 + 92*l + 1 Let u(a) = -3*a. Let s(r) = r**2 + 1165*r - 113. Determine s(u(j)). 9*j**2 - 3495*j - 113 Let z(m) = 1153*m + 2. Let x(k) = 2*k - 22. Determine z(x(h)). 2306*h - 25364 Let o(n) = n. Let r(d) = -774033*...
{ "pile_set_name": "DM Mathematics" }
Let r be 3*(2 - (2 + d)). What is the units digit of 2*-1 - 12/r? 2 What is the units digit of (-4)/(-6)*-3 + 9? 7 Let r(d) = d**2 + 4*d - 2. Let g be r(-5). Suppose g*y + 2*v - 12 = 0, -4*y + 11 = 4*v - 9. What is the units digit of y? 2 Let u(s) = s - 4*s + 3*s**2 - 2*s**2. What is the units digit of u(4)? 4 Let g(n)...
{ "pile_set_name": "DM Mathematics" }
2724*g**2 - 2748*g**2 + 5470*g**2. -2*g**2 Collect the terms in -118*w**3 + 32*w**2 - 1619 + 1619. -118*w**3 + 32*w**2 Collect the terms in -11*k**3 - 92707*k + 92707*k. -11*k**3 Collect the terms in -13885*x + 9420*x - 13004*x. -17469*x Collect the terms in 244*s - 435*s + 191*s + 2*s**2. 2*s**2 Collect the terms in 1...
{ "pile_set_name": "DM Mathematics" }
ithout replacement from rciirrirpri. Give prob of sequence crp. 1/198 What is prob of sequence afz when three letters picked without replacement from {g: 1, t: 1, m: 1, a: 1, f: 2, z: 1}? 1/105 Two letters picked without replacement from mksssms. What is prob of sequence sk? 2/21 Two letters picked without replacement ...
{ "pile_set_name": "DM Mathematics" }
to base 12. -22a Convert 2e7a (base 16) to base 6. 131030 -110a9 (base 11) to base 10 -16091 Convert 21255 (base 6) to base 13. 1433 1fbd (base 16) to base 14 2d65 1124 (base 10) to base 6 5112 379c (base 14) to base 5 302432 -221415 (base 7) to base 11 -27305 -ab (base 16) to base 2 -10101011 What is 9814 (base 10) i...
{ "pile_set_name": "DM Mathematics" }
What is the value of (6/27*-18)/(-1*4/16)? 16 What is the value of (14/(-6))/(6/(-21)*35/30)? 7 Calculate -4*11*(-16)/88. 8 What is 1/((-2)/((-6)/9*-9))*1? -3 Calculate ((-6)/(-9)*9/8)/(294/3528). 9 Calculate (3*2/(-3))/((-440)/540*9). 3/11 Calculate (-80)/28*210/(-60). 10 What is (2/3*(-693)/462)/(3/12)? -4 What is ((...
{ "pile_set_name": "DM Mathematics" }
*3 + x*b + j*b**2 and give w. -5 Express (-4*u + 3*u + 2*u)*(u**3 + u**3 + u**3) + 0*u**3 + 5*u**3 - 22*u**4 + 20*u**4 as d + g*u**4 + v*u + a*u**3 + t*u**2 and give a. 5 Express ((4 - 4 + 4*v)*(3 - 2 + 3) + 22*v - 4*v - 11*v)*(-v - 3*v + 3*v) in the form g + a*v + u*v**2 and give u. -23 Rearrange (-125*c + 502*c + 6*c...
{ "pile_set_name": "DM Mathematics" }
hat is the third derivative of -4*i**6 + 73*i**4 + 263*i**2 wrt i? -480*i**3 + 1752*i Find the third derivative of 2*q**3*s**4 + 37*q**3 - q*s**2 - 38*s**4 wrt s. 48*q**3*s - 912*s What is the third derivative of -182*h**3 - 6*h**2 - 9*h? -1092 What is the first derivative of -4*x**2 - 42*x - 1499? -8*x - 42 Find the s...
{ "pile_set_name": "DM Mathematics" }
(2/(-14))/(18/k). Put w, 3/2, -0.5, h in descending order. 3/2, h, w, -0.5 Let d(f) = -615*f**2 + 1226*f + 1. Let q be d(2). Put -29/3, 0.5, 0, q in increasing order. -29/3, q, 0, 0.5 Suppose -2*y + r + 4 = 0, -3*y - 76*r + 77*r = -8. Sort y, -49, -2, -4, 1 in descending order. y, 1, -2, -4, -49 Let z = 1655 - 1650. S...
{ "pile_set_name": "DM Mathematics" }
**5/15 + 5*o**4/24 + 31*o**3/6 + 156*o**2. Let f be a(17). What is the greatest common factor of f and 45? 45 Let v(x) = -x**3 - 10*x**2 + 64*x - 442. Let l be v(-20). What is the greatest common factor of 134 and l? 134 Suppose 0 = 28*c - 23*c - 150. Let o = c - 47. Let n = o - -27. Calculate the greatest common facto...
{ "pile_set_name": "DM Mathematics" }
23*h. Let u be -8 + 14 - (-1)/(-1). Calculate q(u). 8 Let g(r) be the first derivative of -r + 1/6*r**3 + r**2 - 1. Let p(t) be the first derivative of g(t). Give p(0). 2 Let a(j) = -2*j - 35. Let w(v) = 45*v + 168. Let b be w(-4). Give a(b). -11 Let s(f) = -39*f**2 + 2*f - 3*f**3 + f**3 + 43*f**2 + f**3 - 9. What is ...
{ "pile_set_name": "DM Mathematics" }
. Let t(p) = h*j(p) - 2*q(p). Is 3 a factor of t(-10)? True Suppose -x = -312 + 81. Is x a multiple of 10? False Let q = 3 - -2. Suppose 4*p - q*s = 16, -5*p - 5*s + 3*s = -20. Let z(u) = -u**3 + 4*u**2 + 5*u - 2. Is 9 a factor of z(p)? True Let v = -127 - -430. Is v a multiple of 16? False Let i(d) = -3*d + 1. Let c b...
{ "pile_set_name": "DM Mathematics" }
Sort -0.026, -1870, 0.7 in increasing order. -1870, -0.026, 0.7 Sort -42, 118, -99. -99, -42, 118 Put 0, -4, 84390, -2 in decreasing order. 84390, 0, -2, -4 Put -26, -2, -3, 0.6, 0.5, 132 in increasing order. -26, -3, -2, 0.5, 0.6, 132 Sort 0, 13, -35, -1. -35, -1, 0, 13 Put -15, 8, -3, 0, 45 in ascending order. -15, ...
{ "pile_set_name": "DM Mathematics" }
any minutes are there between 7:32 PM and 11:15 PM? 223 How many minutes are there between 10:32 AM and 3:42 PM? 310 What is 463 minutes after 5:53 PM? 1:36 AM How many minutes are there between 3:42 AM and 6:43 AM? 181 How many minutes are there between 5:05 PM and 10:47 PM? 342 How many minutes are there between 1:12...
{ "pile_set_name": "DM Mathematics" }
om {r: 5, b: 14}. 35/171 Three letters picked without replacement from uuuppxppxpzux. What is prob of sequence upp? 20/429 Calculate prob of sequence nf when two letters picked without replacement from xxcflxxxn. 1/72 What is prob of sequence aafa when four letters picked without replacement from {a: 11, f: 5}? 165/145...
{ "pile_set_name": "DM Mathematics" }
e -5*j + c = 6. What is the greatest common divisor of j and 3? 1 Let y be 3/(-1) - (-10 + 6). Let i be y*3 + (9 - -12). Calculate the greatest common divisor of 3 and i. 3 Suppose w - 6 = -w. Suppose w*i = -2*h + 45, 0 = -4*i - h + 92 - 27. Let p be 4/6 + 98/6. Calculate the greatest common factor of i and p. 17 Let p...
{ "pile_set_name": "DM Mathematics" }
pose -2*h + 4*a - 6 = -3*h, 2*a - 14 = 5*h. Let c be (-4)/(-3)*24/(-16) + h. What is the closest to c in 0, -5, -1? -5 Let u = -1007 - -1089.6. Let m = -83 + u. Which is the closest to 0? (a) 0.2 (b) 4 (c) m a Let l = -127 - -126.8. Let n = -133/370 + -3/74. Let q be 7/(-6) - 1/(-2). Which is the closest to 4? (a) ...
{ "pile_set_name": "DM Mathematics" }
ulate 7 - ((6 - 2) + 1). 2 -5 - (3 - (-5 - -12)) -1 Calculate -11 - -2 - (-3 + -1). -5 What is 3 - (9 + 2 - 7) - 6? -7 What is the value of 2 - (2 + 5) - -5? 0 15 - (6 - (8 + -5)) - 5 7 (-15 - (-11 + 6)) + 2 + 4 -4 -9 - (-2 + 0 - (11 - 8)) -4 Evaluate (0 - -3) + -7 + 4 + 2. 2 4 + (6 + -2 - (9 - 5)) 4 9 - (1 + 4 + -18 +...
{ "pile_set_name": "DM Mathematics" }
- 3*x**4 + 3*x**4 + x**4 as l*x**2 + t + z*x**4 + w*x + p*x**3 and give z. 1 Rearrange -21*c**3 + 42*c**3 - 22*c**3 + 4 + c**4 to the form j*c**3 + r*c + v*c**4 + b*c**2 + a and give a. 4 Rearrange 0*q**2 + q**2 - 5*q**2 + (1 - 2 + 3)*(-2*q**2 - 1 + 1) - 4 + 2*q**2 - 1 + 2 to v + t*q + m*q**2 and give m. -6 Rearrange ...
{ "pile_set_name": "DM Mathematics" }
55? 3, 5, 59, 12323 List the prime factors of 19040160. 2, 3, 5, 39667 List the prime factors of 313161. 3, 47, 2221 What are the prime factors of 426146? 2, 7, 61, 499 What are the prime factors of 5299340? 2, 5, 257, 1031 List the prime factors of 2359140. 2, 3, 5, 7, 41, 137 What are the prime factors of 394695? 3, ...
{ "pile_set_name": "DM Mathematics" }
, -100225, -100214? 11*w - 100258 What is the u'th term of -8749, -11323, -13897, -16471, -19045? -2574*u - 6175 What is the q'th term of -119749, -239499, -359249, -478999, -598749, -718499? -119750*q + 1 What is the k'th term of 270518208, 541036413, 811554630, 1082072865, 1352591124? k**3 + 270518198*k + 9 What is t...
{ "pile_set_name": "DM Mathematics" }
0, 5775, 10662, 16957, 24666, 33795, 44350? u**3 + 692*u**2 + 6*u - 498 What is the n'th term of 147395, 589607, 1326707, 2358761, 3685835, 5307995, 7225307? 11*n**3 + 147378*n**2 + n + 5 What is the b'th term of -9276687, -9276689, -9276691, -9276693, -9276695? -2*b - 9276685 What is the o'th term of -5846, -23687, -5...
{ "pile_set_name": "DM Mathematics" }
8b617 In base 12, what is 59431 + -2034? 573b9 In base 14, what is 197 - -14303a? 1431d3 In base 5, what is 143232331 - 143? 143232133 In base 13, what is -5 + -64ba97? -64ba9c In base 9, what is 32271505 + 6? 32271512 In base 7, what is 16 - -163501651? 163502000 In base 11, what is a29 - 2024a? -1a321 In base 7, what...
{ "pile_set_name": "DM Mathematics" }
by 2/3 + r/3? 9 Let b(t) = -t**2 - 11*t - 7. Suppose 2 = o - 2*o. Let r = 5 - o. Calculate the remainder when r is divided by b(-10). 1 Suppose -22 = c - 17. Calculate the remainder when 47 is divided by (24/c)/(4/(-10)). 11 Suppose -a + 18 = 3*f, a - 19 - 5 = -5*f. Calculate the remainder when ((-238)/35)/(-17) - 158...
{ "pile_set_name": "DM Mathematics" }
e nearest integer? 2 What is 3456 to the power of 1/6, to the nearest integer? 4 What is the tenth root of 2526 to the nearest integer? 2 What is 764 to the power of 1/3, to the nearest integer? 9 What is the tenth root of 740 to the nearest integer? 2 What is 31940 to the power of 1/3, to the nearest integer? 32 What ...
{ "pile_set_name": "DM Mathematics" }
Solve -1240*t - 341*t - 6452 = 32*t for t. -4 Solve -565 + 2725 = -108*i - 2376 for i. -42 Solve -675*t = -510*t + 9075 for t. -55 Solve -15283 = 6446*b + 25564 + 75181 for b. -18 Solve -11740 = 332*n - 2112 for n. -29 Solve -1235*k = -2372*k - 2259*k + 95088 for k. 28 Solve -2605*t - 14950 = -59235 for t. 17 Solve -13...
{ "pile_set_name": "DM Mathematics" }
+ -48.89. Put -2, t, a, -2/5 in increasing order. a, -2, -2/5, t Let b(g) = g**3 - 8*g**2 - 152*g + 6. Let f be b(-9). Sort f, -101, 2. -101, f, 2 Let s = 6.1 - 90.3. Let u = s + 84. Let a = 348 + -3128/9. Put u, 1.6, a in increasing order. u, a, 1.6 Let g = -6142 + 6142.2. Let t = -0.4 + 0.32. Put t, g, -0.4 in ascend...
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from kxkkokkdkkkkdkxkqkkx. Give prob of picking 3 x and 1 q. 1/4845 Four letters picked without replacement from {n: 5, b: 1, e: 2, y: 11}. What is prob of picking 1 b, 1 y, and 2 n? 55/1938 Calculate prob of picking 1 b and 1 o when two letters picked without replacement from ogggbmm....
{ "pile_set_name": "DM Mathematics" }
ogether 3697707737 and 0.19309. 3697707737.19309 Work out -228184832.41 - -0.452. -228184831.958 -287138698 + 2090.11 -287136607.89 Subtract -1.01 from -0.03831800521. 0.97168199479 Calculate -0.88750556645 + -1. -1.88750556645 Calculate 7.9 - 23368423930. -23368423922.1 Calculate -1268.77354 - -1025.1. -243.67354 -686...
{ "pile_set_name": "DM Mathematics" }
v(w) = 8 - 32 + 24 + w. Give i(v(s)). -8*s Let q(o) be the third derivative of 0 + 0*o**3 + 1/24*o**4 + 0*o + o**2. Let a(r) be the first derivative of -5*r**3/3 - 2. Give q(a(p)). -5*p**2 Let k = -38 + 42. Let c(u) = -6*u**2 - k*u**2 + 20*u**2. Let o(w) = 2*w. What is c(o(i))? 40*i**2 Let r(m) = -3*m**2 + 72 - m**2 -...
{ "pile_set_name": "DM Mathematics" }
26? 4418 What comes next: -8, 17, 82, 205, 404, 697, 1102, 1637? 2320 What comes next: 30, 146, 414, 894, 1646, 2730? 4206 What is the next term in 107, 240, 375, 512, 651? 792 What is next in -593, -581, -569? -557 What is next in 1027, 4157, 9373, 16675? 26063 What is next in 34, 41, 60, 97, 158? 249 What is the next...
{ "pile_set_name": "DM Mathematics" }
1. Suppose -12*t - 5776 = -28*t. Suppose t = -6*d + 355. Calculate z(d). -20 Suppose 2*c + 3*t = 0, 2*c + 76 = 3*t + 52. Let b(y) = y**2 + 8*y - 9. Calculate b(c). -21 Let c(m) = -2*m + 6 - 2*m + 5*m. Let s be c(-8). Let y(x) = -10*x**2 - 7*x + 41. Let u(b) = -2*b**2 - b + 7. Let n(f) = -6*u(f) + y(f). Give n(s). 9 Le...
{ "pile_set_name": "DM Mathematics" }
of 1/2, to the nearest integer? 85377 What is 2047323973 to the power of 1/3, to the nearest integer? 1270 What is 59591771 to the power of 1/3, to the nearest integer? 391 What is the eighth root of 11245225 to the nearest integer? 8 What is the square root of 560835299 to the nearest integer? 23682 What is 100374644...
{ "pile_set_name": "DM Mathematics" }
6*x + 2 = 7*x. Let w be ((2 + 0)/x)/(-1). Is 7 - (-3 - -2)/w a composite number? True Let k(z) = 140*z**3 - 2*z + 1. Is k(1) composite? False Let j be 4*(1/(-2))/(-1). Let n be ((-3)/j + -1)*-2. Suppose -141 = -n*h + 2*h. Is h composite? False Is 2/4*(-17 + 11) - -1154 a composite number? False Suppose 6 = t - 3. Let r...
{ "pile_set_name": "DM Mathematics" }
he prime factors of 4221970005. 3, 5, 11, 191, 133967 List the prime factors of 22787257. 349, 65293 What are the prime factors of 200253302? 2, 17, 199, 1741 What are the prime factors of 175458837? 3, 7573, 7723 What are the prime factors of 103106292? 2, 3, 17, 673, 751 What are the prime factors of 840479344? 2, 52...
{ "pile_set_name": "DM Mathematics" }
: 2, q: 6, z: 4, y: 1, v: 4, l: 2}. What is prob of sequence zz? 2/57 Four letters picked without replacement from ylylymlyliiylmzy. What is prob of sequence mlyi? 1/364 Two letters picked without replacement from {b: 4, p: 4, l: 2}. Give prob of sequence pl. 4/45 What is prob of sequence vv when two letters picked wit...
{ "pile_set_name": "DM Mathematics" }
185051? -30*x + 185141 What is the n'th term of -1397, -1316, -1235, -1154, -1073? 81*n - 1478 What is the c'th term of 305, 1010, 2193, 3860, 6017? c**3 + 233*c**2 - c + 72 What is the n'th term of 28, 166, 332, 526? 14*n**2 + 96*n - 82 What is the t'th term of -4261, -4250, -4225, -4180, -4109, -4006? t**3 + t**2 + ...
{ "pile_set_name": "DM Mathematics" }
quence ll. 5/6 What is prob of sequence kkik when four letters picked without replacement from {k: 3, i: 7}? 1/120 Two letters picked without replacement from bdbddbxwbddwwbmdmdd. What is prob of sequence mx? 1/171 Calculate prob of sequence wo when two letters picked without replacement from {y: 1, p: 1, a: 1, w: 1, o...
{ "pile_set_name": "DM Mathematics" }
l be 4 + (-4)/3*-6. Solve -3*g + 0 = -l for g. 4 Let w be (11 + -1)*2/5. Suppose 0 = w*p + 5 - 21. Solve y + p = 9 for y. 5 Let n(p) = -p**2 - 8*p - 7. Let t be n(-7). Suppose 2*q - 3*q + 44 = t. Let a be (-1)/(-3) - q/(-12). Solve -2*f + 0*f = -a for f. 2 Let d = -8 + 8. Solve d*q = -3*q + 15 for q. 5 Suppose -10 = 5*...
{ "pile_set_name": "DM Mathematics" }
+ 1. Let g(m) = 2*f(m) + k(m). What is the third derivative of g(b) wrt b? 10380*b**2 Let w be (72/(-40))/((-3)/10). Find the first derivative of 5 - w + 1 + 6 + 13*j wrt j. 13 Let n(y) be the first derivative of -11*y**6/3 + y**4/4 + 2*y**3/3 + 2*y - 515. Find the third derivative of n(x) wrt x. -1320*x**2 + 6 Let i =...
{ "pile_set_name": "DM Mathematics" }
se 16. -116589 -30635520 (base 7) to base 5 -1130040043 Convert 220011302300 (base 4) to base 5. 10142300423 What is 632dee (base 15) in base 14? 8ab57a 23003221020 (base 4) to base 7 33431310 Convert -24899 (base 15) to base 10. -116694 11011211110210 (base 3) to base 10 2220879 -1302341213 (base 5) to base 11 -187444...
{ "pile_set_name": "DM Mathematics" }
3 + 7*p**2 + 6*p + 4. Let v be s(-6). What is the units digit of ((-46)/v)/(5/(-10))? 3 Suppose 3*r - 8 = 1. Let h be r/15 - 49/(-5). What is the units digit of (h/(-3))/((-2)/3)? 5 Let u be 4/(-18) + (-87)/(-27). Let i(y) = -4*y. Let n be i(1). Let f = u - n. What is the units digit of f? 7 Let n(r) = -r**2 - 3*r - 1....
{ "pile_set_name": "DM Mathematics" }
*y - 21910. -2*(y + 5)*(y + 2191) Solve 3*j**5 + 6*j**4 - 2628*j**3 + 34614*j**2 - 104895*j + 72900 = 0. -36, 1, 3, 15 Factor -4*v**3/7 - 1572*v**2/7 + 1584*v/7 + 3152/7. -4*(v - 2)*(v + 1)*(v + 394)/7 Factor -2*u**2/5 + 71716*u/5 - 71714/5. -2*(u - 35857)*(u - 1)/5 What is q in 20*q**3 + 21612*q**2 - 8648*q = 0? -1081...
{ "pile_set_name": "DM Mathematics" }