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f be -17*(-44)/(-374) - (-1)/2*2. Which is the closest to 0.01? (a) f (b) -0.2 (c) 13 (d) -0.1 d Suppose -4*p - 8 = -16. Let s(f) = -2*f + 2*f**p - 6 - 3*f**2 + 8*f. Let d be s(4). What is the nearest to -1/4 in d, 0, -3/5? 0 Let r = 1/49 - 101/147. What is the nearest to 1.1 in 0.2, 3, r, -0.14? 0.2 Let u = 101.1...
{ "pile_set_name": "DM Mathematics" }
s)/s) assuming s is positive. s**(-248/5) Simplify (i**(-1/3)/i*i**(-1/24))/(i/((i*i/i**(8/3))/i)*(i/(i/((i/(i*(i/(i*i**(2/39)))/i*i))/i)))/i) assuming i is positive. i**(-653/312) Simplify (b**(-14)*b)**(-2/87)*(b**(-7/2))**(-10) assuming b is positive. b**(3071/87) Simplify ((((v**(-2/3)/v*v)/v)/v)**(-5/2))**(14/5) a...
{ "pile_set_name": "DM Mathematics" }
divided by 89. 88 Calculate the remainder when 1488734 is divided by 148567. 3064 What is the remainder when 2574817 is divided by 2301? 2299 What is the remainder when 794733 is divided by 263844? 3201 Calculate the remainder when 549318 is divided by 2215. 2213 What is the remainder when 167150 is divided by 398? 38...
{ "pile_set_name": "DM Mathematics" }
752 What is prob of sequence kbyy when four letters picked without replacement from {k: 1, r: 5, g: 6, b: 1, y: 2}? 1/16380 Calculate prob of sequence yz when two letters picked without replacement from {z: 8, y: 1, g: 8, s: 1}. 4/153 Three letters picked without replacement from ttptrtrkwrtt. What is prob of sequence ...
{ "pile_set_name": "DM Mathematics" }
-0.1 Let h be -2 + 4 - (-1)/1. Suppose 9*q - 3*q - 30 = 0. Suppose 7*l = 2*l + q. Sort l, 5, h. l, h, 5 Suppose -8 = 17*f + 43. Put f, 3, 1, -1 in decreasing order. 3, 1, -1, f Let w(z) = 3*z**2 + 5*z + 3. Let t(u) = -4*u**2 - 5*u - 3. Let d(p) = 5*t(p) + 6*w(p). Let j be d(4). Let a = j - -5. Sort a, 0, -2 in ascendi...
{ "pile_set_name": "DM Mathematics" }
*a**3 - a**2 - 2*a + 1. Let d be m(0). Are 2/23 and d unequal? True Let t be (((-24)/(-3))/(5 + -3))/6. Is -3/2 less than or equal to t? True Suppose g = -0*g + 9. Let c be g/(-12) + 2 - 1. Which is greater: c or -1? c Let x = -0.11 - -0.05. Is x smaller than 1/4? True Let m(d) = 3*d - 7. Let y be m(2). Is y smaller th...
{ "pile_set_name": "DM Mathematics" }
the greatest common factor of 2409 and 14016? 219 What is the highest common divisor of 6817977 and 9? 9 Calculate the highest common divisor of 65060 and 190. 10 What is the greatest common divisor of 716 and 262? 2 What is the highest common factor of 15096 and 31672? 296 What is the highest common divisor of 2512 an...
{ "pile_set_name": "DM Mathematics" }
tive. g**(-59/19) Simplify ((x*x**(-4/3))/x**1)/((x**6/x)/x**(-4/5))*(x*(x/(x**(-2)/x))/x)**(-2/21)*((x*x/(x**(-2/17)/x))/x)/(x*x**(3/5)) assuming x is positive. x**(-4163/595) Simplify (z**33)**(-1/56)/((z*z**10)/z**(-15)) assuming z is positive. z**(-1489/56) Simplify ((s/(s*s**(-5))*s/(s**(-3)*s)*(s*s**(2/5))**(1/37...
{ "pile_set_name": "DM Mathematics" }
Let u(z) = -144*z + 49. Is u(-16) prime? False Suppose 4*t = 6*t - 290. Suppose 3*v + l = 149, -2*v + l = v - t. Is v a prime number? False Suppose -798 = -5*j + 4*d, 5*d - 15 = -0. Suppose -5*n + 17 + 433 = -l, 2*n - 4*l - j = 0. Is n composite? True Let b(t) = t**2 - 5*t - 10. Let i be b(7). Suppose 282 + 79 = 3*h -...
{ "pile_set_name": "DM Mathematics" }
p? 8*k**2 - 280*k What is the derivative of 1743*a**3*g - 3*a**2*g - 2*g - 1096 wrt a? 5229*a**2*g - 6*a*g What is the derivative of k*s**2*v**3 + 124*k*s**2 + 2*k*v**2 + 968*s**2*v**3 + v**3 wrt k? s**2*v**3 + 124*s**2 + 2*v**2 Find the first derivative of -5510*q**2*u**2*z**2 - 12*q**2*z**2 - 10*q**2 - 10 wrt u. -11...
{ "pile_set_name": "DM Mathematics" }
ive y(-12). -6 Let a = 4 - 9. Let b = -6 + 9. Let k(w) = 9 - 2 - 4*w - 6*w**2 + 0*w**3 - w**b. Calculate k(a). 2 Let d(k) = k**3 - k**2 - k + 1. Let v(l) = 2*l + 2. Let b(t) = 2*t + 3. Let q(m) = 3*b(m) - 4*v(m). Let r be q(1). Let j be ((0 - 0)*-1)/r. Calculate d(j). 1 Let r be 76/(-16) + 6/8. Let p be (-9 + -1)*2/r. ...
{ "pile_set_name": "DM Mathematics" }
r when 11209352 is divided by 105? 77 Calculate the remainder when 12531306 is divided by 125313. 6 What is the remainder when 50108689 is divided by 1460? 29 What is the remainder when 1558682 is divided by 448? 90 Calculate the remainder when 31257 is divided by 30817. 440 Calculate the remainder when 122847 is divid...
{ "pile_set_name": "DM Mathematics" }
- 2*k**2 - 3*k + 3*k - k + k - k**2 + (0 + 2 + 0)*(0 + 0 - 2*k**2) + 3 - k**2 - 3 to the form a*k**2 + q*k + y and give a. -16 Express (-5*a + 3*a - 8*a)*(-3 + 4 + 1) + 2 - 2 - a as t + n*a and give n. -21 Rearrange h**2 + 2*h**2 - 4 + 0*h**2 to p + v*h**2 + m*h and give v. 3 Express 1 - 33*l + 12*l + 7*l + 12*l as o ...
{ "pile_set_name": "DM Mathematics" }
6 = -a, 4*a - d = -4*g + 2*g for g. 3 Let k = -17 + 32. Let p = k + -9. Let l = -5530 - -5530. Solve p*a - 2*a + 12 = 4*d, l = -d + 5*a + 23 for d. -2 Suppose 3*z - 3 = 0, 0 = v - z - 0*z - 2. Let p be (-5)/15 + (-1)/(-3). Suppose p = m - 2*m + 2. Solve -m*g - 5 = r, -2*g + v*r = -r + 10 for g. -3 Let h(t) be the thir...
{ "pile_set_name": "DM Mathematics" }
(t*t**(1/19)*t)/(t**2*t*t)) assuming t is positive. t**(-9498/323) Simplify ((t**(-1)*t)**(2/81)/(((t*t**(-1/6))/t)/t**(1/8)))**(3/34) assuming t is positive. t**(7/272) Simplify ((u/(u*((u**(-2/37)*u)/u)/u*u*u*u))/u**(-13))/(u*(u/u**(-10))/u)**(-1) assuming u is positive. u**(816/37) Simplify ((q*q*(q/(q**12*q))/q)/q*...
{ "pile_set_name": "DM Mathematics" }
h**3/6 + 21*h. Let i(t) = 4*t**2 - 4*t - 527599 + 4*t + 527599. Calculate i(s(b)). 3844*b**2 Let l(x) = -6*x - 8*x + 2*x. Let k(n) be the first derivative of 3*n**2 - 645. Calculate l(k(i)). -72*i Let q(m) = -37*m. Let v(z) = 32504*z**2 - 18. Calculate v(q(n)). 44497976*n**2 - 18 Let g(j) = -7559919*j. Let o(v) = -v**2...
{ "pile_set_name": "DM Mathematics" }
+ 21*s + 28 = -31*s for s. -2 Solve 3*t + 4 = 34 for t. 10 Solve 23*b - 7 = 39 for b. 2 Solve 39*n + 100 = 49*n for n. 10 Solve 93 = 15*p - 87 for p. 12 Solve 311*b = 272*b + 101 + 172 for b. 7 Solve -20*a - 978 = -47*a - 136*a for a. 6 Solve -101*h - 480 = 227 for h. -7 Solve 389*v + 6528 + 474 = 0 for v. -18 Solve 75...
{ "pile_set_name": "DM Mathematics" }
f = -31 + 32. Sort a, x, f in increasing order. x, f, a Let t(u) = -u. Let y be t(-5). Let v be (-75)/6*2/10*18. Let b = 41 + v. Put b, -5, y in decreasing order. y, b, -5 Let t(a) = -2*a**2 + 1. Let u be t(4). Let y = u - -24. Let v = 3 - -2. Put -0.4, v, y in descending order. v, -0.4, y Let x = 31/2 - 15. Let r be ...
{ "pile_set_name": "DM Mathematics" }
e number? False Is 196437281 prime? True Is 46306451 prime? True Is 3527311 prime? True Is 1991177 composite? False Is 104345627 composite? False Is 57860519 composite? False Is 1561583 a composite number? True Is 5214351 a prime number? False Is 52773871 a prime number? True Is 91930831 prime? True Is 35688721 composi...
{ "pile_set_name": "DM Mathematics" }
ed by 45. 39 Suppose -28418*o = -28400*o - 216. What is the remainder when 2938 is divided by o? 10 Let j(r) = -r**3 + 2*r**2 + r - 2. Suppose 3*z + 2*x = -3*x + 14, -5*x = -4*z - 28. What is the remainder when (-35 - 14)*20/(-14) is divided by j(z)? 10 Let x(b) = -11*b - 1. Let v be x(1). Let m = -2141 + 2157. Calcula...
{ "pile_set_name": "DM Mathematics" }
f -67267, -67259, -67243, -67219, -67187, -67147? 4*b**2 - 4*b - 67267 What is the g'th term of -236306, -236308, -236282, -236204, -236050? 4*g**3 - 10*g**2 - 236300 What is the f'th term of 3227, 3406, 3591, 3782, 3979, 4182? 3*f**2 + 170*f + 3054 What is the f'th term of -2743412, -5486816, -8230220, -10973624, -137...
{ "pile_set_name": "DM Mathematics" }
f + b*f + 7 = 5*k for f. 4 Let j(b) = b**2 + 8*b + 11. Let t be j(-8). Suppose 0 = 7*v - t*v + 20. Solve 4*y - 27 = y - 3*q, v*q + 5 = 5*y for y. 5 Let h be 2/(-17) + (-4685)/(-85). Let s = -53 + h. Solve o - s*o = 2*x - 5, -2*x + 6 = 2*o for x. 2 Suppose -n + 17 = 3*a, -37 = -5*n - 5*a + 6*a. Solve 2*m - n = 0, -2*q +...
{ "pile_set_name": "DM Mathematics" }
mplify ((y/(y**0*y)*y)/y**1)/(y/y**5*y**(-2/11))*((y**(1/3)/y)/y)/(y*y*y**(-4/3)*y)*y**(-2)*y**(-1) assuming y is positive. y**(-71/33) Simplify ((z**(-1))**22*z**(-6/5)*z*z**(-1)*z)/((z**(-3)*z**(-1/7))/(((z*z**(-2/5))/z)/(z/(z/(z*z*z**(-2/9)*z))))) assuming z is positive. z**(-7004/315) Simplify ((u*u/(u*(u*u/(u**(-5...
{ "pile_set_name": "DM Mathematics" }
- 51 = 54. Calculate the remainder when i is divided by (r + 2)*1 + -3. 3 Let s = -18 + 93. Suppose -s = -3*d + 2*f, -5*f + 8 = -2*d + 3*d. Calculate the remainder when d is divided by 12. 11 Suppose -w + 53 = 5*r, 9 + 4 = r + w. Suppose -5*s + r = -0. Suppose 114*o - 111*o - 3 = 0. What is the remainder when s is div...
{ "pile_set_name": "DM Mathematics" }
i + 47*s - 2 wrt i. 48624*s What is the second derivative of 115*c**2*y**3 - 6*c**2*y + c**2 + 12*c*y - 63*y**5 + 8*y**2 + 25*y + 2 wrt y? 690*c**2*y - 1260*y**3 + 16 Find the third derivative of -2*h**3*i**4 + 9320*h**3*i**3 + 297*h**3*i**2 + 4*h**3*i + 10*h**2*i + h - 2*i**4 wrt i. -48*h**3*i + 55920*h**3 - 48*i Wha...
{ "pile_set_name": "DM Mathematics" }
-21)/(a**(-19)*a))**(3/11) assuming a is positive. a**(-258/55) Simplify ((d*((d*d**12*d)/d)/d*d)/(d*d*d/d**(-16))*(d*d**(7/5))/d*d*(d**(-3)*d)/d)**(-4/23) assuming d is positive. d**(112/115) Simplify (((x**(-6)/((x/(x/(x*x*x**13)))/x))/(x**(1/9)/(x/(x/(x*x**(3/7))))))**(-18))**(3/5) assuming x is positive. x**(7062/3...
{ "pile_set_name": "DM Mathematics" }
. 2 Suppose -8*v + 23 + 9 = 0. Solve -2*k = -v*k - 2 for k. -1 Let k be 1 + -2 + 1 + 3. Let c = -95 + 105. Solve q - k*q = c for q. -5 Let n = 21 + -11. Let j(q) = q**2 - 8*q + 9. Let o be (-5)/15 - (-22)/3. Let w be j(o). Solve -3*v - n = w for v. -4 Let f(o) be the second derivative of o**3 - 3*o**2/2 + 3*o. Let a be...
{ "pile_set_name": "DM Mathematics" }
first derivative of 0*a**4 - 9/2*a**2 + 12 - 2/5*a**5 + 0*a**3 + 0*a. What is the second derivative of m(x) wrt x? -24*x**2 Let w(g) be the third derivative of -7*g**7/30 + g**6/120 + 19*g**4/8 - 44*g**2. What is the second derivative of w(y) wrt y? -588*y**2 + 6*y Let n(i) be the third derivative of -i**5/60 + 49*i**4...
{ "pile_set_name": "DM Mathematics" }
- 111*y - n - 325699 = 0. List the prime factors of y. 107, 761 Suppose 3*q + 26 = 44. List the prime factors of (-76755)/(-102)*q/5. 3, 7, 43 Let y(n) = -265*n - 2927. What are the prime factors of y(-30)? 5023 Suppose a - 14*p - 329 = -19*p, -4*p = 4. Let c = -1 - -1. Suppose -5*j = v - 179, 3*v - v - 2*j - a = c. Li...
{ "pile_set_name": "DM Mathematics" }
-8 Solve -11*d + 62 = -5*u, 3*d - 27 = 139*u - 141*u for u. 3 Solve a - 8 = -4*w - a, -383*w + 33 = -386*w + 5*a for w. -1 Solve -3*p - 4*k + 5 + 21 = 0, -35 = -5*p - 5*k for p. 2 Solve 0 = -3*s - 2*b - 16, -5*s - 22 = b - 0 for s. -4 Solve -5*f - 16 + 13 = 4*j, 5*j + 5*f = 0 for j. 3 Solve -289*o + 292*o + 5*x - 72 = ...
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from cdrykrcdkyrcd. 3/715 Two letters picked without replacement from {f: 2, r: 4, x: 6, l: 1, w: 3}. What is prob of picking 2 r? 1/20 Calculate prob of picking 1 k and 3 m when four letters picked without replacement from kmmkmkkjkmjj. 4/99 Calculate prob of picking 2 i when two letter...
{ "pile_set_name": "DM Mathematics" }
he n'th term of -2, -86, -330, -818, -1634, -2862, -4586, -6890? -14*n**3 + 4*n**2 + 2*n + 6 What is the l'th term of -12, -60, -140, -252, -396, -572, -780? -16*l**2 + 4 What is the h'th term of -24, -73, -122, -171? -49*h + 25 What is the m'th term of -77, -75, -71, -65? m**2 - m - 77 What is the u'th term of 36, 35,...
{ "pile_set_name": "DM Mathematics" }
) = 119*v**2. Calculate n(s(i)). 11900*i**2 Let t(g) = 23*g**2. Let n(j) = 13*j**2. What is t(n(x))? 3887*x**4 Let w(f) = -64*f**2 + 3. Let j(c) = -7*c**2. What is j(w(u))? -28672*u**4 + 2688*u**2 - 63 Let w(m) be the first derivative of 2*m**3/3 + 1. Let q(c) be the first derivative of c**2 + 30. Determine q(w(o)). 4*...
{ "pile_set_name": "DM Mathematics" }
unded to the nearest 100? -2300 Let d = -7.8 - -11.9. Let o = -60739585 - -60739580.89999971. Let k = o + d. What is k rounded to seven dps? -0.0000003 Let o = 1.32 - 0.12. Let s = -0.2 + o. Let k = -1.00000045 + s. Round k to 7 dps. -0.0000005 Let x = 1.974407891 - 1.9744. Round x to six dps. 0.000008 Let v = 0.18 - 2...
{ "pile_set_name": "DM Mathematics" }
w(d) = -d**3 - 7*d**2 + 3*d + 15. Give w(-7). -6 Let u(d) = -7*d + 25. Calculate u(5). -10 Let u(r) = -6*r**2 + 40*r + 8. Calculate u(7). -6 Let w(g) = g**2 - 2*g - 5. Determine w(4). 3 Let g(w) = w + 6. Determine g(11). 17 Let z(a) = -a**3 - 5*a**2 + 6*a + 58. Determine z(-6). 58 Let t(j) = j**3 - 8*j**2 + 2*j - 8. D...
{ "pile_set_name": "DM Mathematics" }
is n rounded to the nearest ten thousand? -800000 Let o = -31 + 34. Suppose -15*b = b - 64. Suppose -3*j - 2*m = -867004, 2*j + b*m = -o*j + 1445008. What is j rounded to the nearest 10000? 290000 Let p be 3*4/(60/35) - 19601. Round p to the nearest one hundred. -19600 Let c = -59.85 - -12.81. Let p = c + 1.04. Let q ...
{ "pile_set_name": "DM Mathematics" }
and 0.6. -715092141113.4 What is the distance between -1 and 298151017744? 298151017745 5519.4539309 - -0.08 5519.5339309 Calculate 38563871 + -11566943. 26996928 -12224138+-29352.66 -12253490.66 What is 52733742186 plus -0.35? 52733742185.65 What is the difference between -0.026702 and -10861188180? 10861188179.973298...
{ "pile_set_name": "DM Mathematics" }
3*(z + 6)*(z + 275)/4 Factor -c**3/9 - 8435*c**2. -c**2*(c + 75915)/9 Find p, given that -4*p**5/5 - 112*p**4/5 - 716*p**3/5 - 1568*p**2/5 - 192*p = 0. -20, -4, -3, -1, 0 Factor 5*x**2 - 1007070*x + 50709499245. 5*(x - 100707)**2 Suppose -2*c**4/19 - 25412*c**3/19 - 80670378*c**2/19 + 322986520*c/19 - 323088200/19 = 0....
{ "pile_set_name": "DM Mathematics" }
the tens digit of y? 3 Let o(n) = 221*n + 4. Let d be o(1). Suppose -2*c + d = -125. What is the hundreds digit of c? 1 Let u = 456 - 159. What is the hundreds digit of u? 2 Let v(l) = -2*l**3 - 8*l**2 + 4*l - 7. Suppose -34*b + 30 = -39*b. What is the units digit of v(b)? 3 Let n(v) = v**3 - 3*v + 1. Let m be n(2). S...
{ "pile_set_name": "DM Mathematics" }
25. Suppose 0 = -2*d - d + s + 15, -5 = -5*d - 5*s. Find the first derivative of 22 - 25 + 0*a**4 - h*a**d wrt a. -20*a**3 Let k(o) be the second derivative of 0 + 0*o**2 - 1/12*o**4 - 6*o + 1/2*o**3. What is the second derivative of k(l) wrt l? -2 Suppose 0 = -4*b + 1 + 11. Suppose 5*v - 7 = 2*w - 1, -v = -w + b. Wha...
{ "pile_set_name": "DM Mathematics" }
0000 What is 53/5 of a gram in milligrams? 10600 How many milliseconds are there in 1/6 of a minute? 10000 What is seven eighths of a micrometer in nanometers? 875 Convert 757417.5 meters to centimeters. 75741750 Convert 16277.6859 hours to weeks. 96.8909875 What is 345.1636 micrograms in milligrams? 0.3451636 How many...
{ "pile_set_name": "DM Mathematics" }
= 8*b**2 - 36. Let m(t) = t**2 - 9. Let d(p) = -4*m(p) + w(p). Let n(r) = -4*r. What is d(n(g))? 64*g**2 Let v(n) = 10*n. Let r(q) be the first derivative of q**6/90 - 2*q**3/3 - 17*q - 18. Let s(b) be the third derivative of r(b). Determine s(v(j)). 400*j**2 Let b(a) = 3*a + 48. Let h(v) = 359*v**2 + 2*v - 7. Determin...
{ "pile_set_name": "DM Mathematics" }
-q**5 + 0*q**5 + 2*q**5 - 2*q**5 - 2*q**5 + 3*q**5 + (-9*q**2 + 3*q - 3*q)*(0 - 2*q**3 + 0). 18*q**5 Expand (-2*c + c + 2*c)*(9 - 5 + 3) + c - 1 + 1. 8*c Expand (0*a**2 - 2*a**2 + 0*a**2)*(-a + a - 2*a**2)*(0*a - 2*a + 3*a)*(-3 - 1 + 5). 4*a**5 Expand (-3 + 7 - 6)*(1 - 2 - 2)*(-3*d - d + 5*d). 6*d Expand (1 + 0 + 1 + ...
{ "pile_set_name": "DM Mathematics" }
4 + 4*i + 95*i**3 to the form u + s*i + t*i**4 + r*i**2 + b*i**3 and give u. 4 Rearrange ((-2*j + 6*j - 3*j)*(-1 - 1 + 1) - 18*j + 2*j + 9*j)*(-3*j + 2*j - 3*j**2 + 5*j**2) to y*j**2 + k*j**3 + r + g*j and give y. 8 Express 26 - 26 + 17*g as a + i*g and give i. 17 Rearrange -3*s**3 + 2 - 16*s**2 + 4*s**3 + 4*s**3 + 17*...
{ "pile_set_name": "DM Mathematics" }
decreasing order. 5, 1.6, 3/2, u Let m be 182/(-210) + 1/5. Sort 0.4, m, -0.4. m, -0.4, 0.4 Let t = 0.9 + -4.9. Let c = t - -3.7. Let q = 27 + -26. Sort q, 0.1, c in ascending order. c, 0.1, q Let x = -1 + 6. Suppose 4*i + 8 = r - 10, 3*i + 2*r = -19. Put x, i, -4 in increasing order. i, -4, x Let a(n) = -n**3 + 10*n**...
{ "pile_set_name": "DM Mathematics" }
x = 2 - 2.6. Let p = x + 4.6. What is the closest to p in f, -1/2, -2? f Suppose -4*p + 54 = 210. Let l be p/(-12) - (-3 - -6). Let s = l - -1. Which is the nearest to -0.1? (a) -4 (b) -1 (c) s b Let b(n) = -128*n. Let d be b(2). Let f = 2814/11 + d. What is the nearest to f in -1/3, -3, -0.2? -0.2 Let w = -251 + 12...
{ "pile_set_name": "DM Mathematics" }
places? 0.00004 Let f = -452.9253 + 453. Let s = 3.7413 + f. What is s rounded to the nearest integer? 4 Let z be 86/10 - 8/(-20). Suppose -z*u + 10*u - 218997 = -c, 0 = -4*c - 5*u + 875985. Round c to the nearest 10000. 220000 Suppose 3*j + 3*d + 78648 = 0, 2*j + 6107 + 46331 = 4*d. Round j to the nearest ten thousand...
{ "pile_set_name": "DM Mathematics" }
*l + w = -15. Are l and k nonequal? True Suppose 1772*h = 1763*h + 6138. Which is bigger: h or 666? h Let f(x) = x**3 - 14*x**2 - 27*x - 19. Let p be f(16). Let v = -1519/25 + p. Is 0 < v? True Let p(r) = r**2 - 14*r + 50. Suppose 0*s = 9*s - 54. Let b be p(s). Which is smaller: -1.7 or b? -1.7 Let o = 7.7 + -27.7. Let...
{ "pile_set_name": "DM Mathematics" }
e number? True Is 10123 prime? False Is 10473 a composite number? True Is 553 prime? False Is 168697 composite? False Is 19766 a prime number? False Is 1574 a prime number? False Is 2921 prime? False Is 27043 a prime number? True Is 113257 a composite number? True Is 946717 a composite number? False Is 2067331 a prime ...
{ "pile_set_name": "DM Mathematics" }
Work out -6.16719 + -1251.096. -1257.26319 -526511013109 + -56 -526511013165 Calculate -819680615096 + -2.1. -819680615098.1 What is -2.82100821 plus -355? -357.82100821 What is -206.39 minus 28762.822? -28969.212 What is the distance between 2.096 and 22587.316? 22585.22 Work out -0.78818 - 1084808353. -1084808353.788...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from cxoxhcccxhheh. What is prob of sequence cec? 1/143 Calculate prob of sequence qh when two letters picked without replacement from {q: 1, z: 3, p: 9, m: 1, h: 2, t: 3}. 1/171 Two letters picked without replacement from {m: 2, z: 3, r: 3, b: 2, p: 1, i: 1}. Give prob of sequence r...
{ "pile_set_name": "DM Mathematics" }
smallest value? (a) d (b) 3/20 (c) n b Let z = -544/3 + 181. Let o = -95/3 - -281/9. Which is the smallest value? (a) 0.3 (b) o (c) z b Let o = 62/319 + -3/29. Let j be 4/(-72)*(5 - 1). Which is the third smallest value? (a) -0.5 (b) o (c) j b Let x = 1246 - 1245.5. What is the second biggest value in x, -0.1...
{ "pile_set_name": "DM Mathematics" }
lse Let g = -7 + 11. Suppose -p = -g*p + 789. Is p composite? False Let d = -1 + 5. Suppose -3*r + 3*t = -2*r - 22, -d*r - 2*t = -18. Is r composite? False Let u(m) = -m**3 + 4*m**2 + 5*m + 4. Let p be u(5). Is (6/p)/(-3)*-26 prime? True Suppose -6*i + 4*i + 1307 = c, 1316 = c - i. Is c a composite number? True Suppose...
{ "pile_set_name": "DM Mathematics" }
4. Let g(x) = 8*x + 3. Give g(h). 27 Suppose -3*x = -1566*d + 1569*d + 6, -x + 13 = -4*d. Let f(o) = 2*o**3 + 3*o**2 + o + 3. Calculate f(d). -27 Let w(x) = -2 - 6*x**2 + 7*x**2 + 8*x + 3. Let h(o) = 2*o**2 + 22*o + 12. Suppose 0 = -11*f + 8*f - 30. Let b be h(f). Calculate w(b). 1 Suppose -2*m - 30 = -36. Suppose b + ...
{ "pile_set_name": "DM Mathematics" }
= 3*w - 16. Let t(o) = -4*o + 19. Let y(u) = 3*d(u) + 2*t(u). Let p be y(-15). Which is the smallest value? (a) -3/4 (b) 5 (c) p c Let o = -6/151 + 380/1963. Let g = 178 + -183. What is the second biggest value in -2, g, o? -2 Let q = -9475 - -9480. What is the smallest value in 1/4, -1/9, -0.3, q, -8? -8 Let a = 2 ...
{ "pile_set_name": "DM Mathematics" }
3)/15 Let p(q) be the third derivative of q**6/480 + 23*q**5/240 + 57*q**4/32 + 135*q**3/8 + 1336*q**2. Factor p(d). (d + 5)*(d + 9)**2/4 What is w in -1/4*w**4 + 57/4*w**3 + 59/4*w**2 - 57/4*w - 29/2 = 0? -1, 1, 58 Let q = 423989/989324 + 1/141332. Factor 30/7*x + 33/7 - q*x**2. -3*(x - 11)*(x + 1)/7 Let r be 2123/310...
{ "pile_set_name": "DM Mathematics" }
, given that 9*p**5/7 + 141*p**4/7 - 207*p**3/7 - 45*p**2/7 + 102*p/7 = 0. -17, -2/3, 0, 1 Determine a, given that -a**3/4 - 5*a**2/2 - 27*a/4 - 9/2 = 0. -6, -3, -1 Let -5*s**2 - 35*s + 40 = 0. Calculate s. -8, 1 Factor 6*a**3/5 - 38*a**2/5 + 8*a/5 + 24/5. 2*(a - 6)*(a - 1)*(3*a + 2)/5 Solve -3*x**3 + 15*x**2 - 12*x = ...
{ "pile_set_name": "DM Mathematics" }
**4 - 4 - 3*x + 3/2*x**2 + 0*x**3. Calculate t(j). -5 Suppose -22 = -2*o + 5*y, 0 = 5*o + 3*y - 2*y - 28. Let j(u) = -o + 233*u**2 - 465*u**2 + 8*u + 230*u**2. Calculate j(5). -16 Suppose -b + 4 = 0, 0 = -4*m + 4*b + 28 + 20. Suppose 14 + m = 15*u. Let l(z) = -4*z - 3. Determine l(u). -11 Let t(n) = 0*n**3 - n**3 + 172...
{ "pile_set_name": "DM Mathematics" }
105 + 45 = 0. Suppose 0 = -4*r - r - l. Does -5 = r? False Let o = -0.09 - -0.79. Let i = o - 0.2. Let b = 0.7 - i. Which is smaller: -3 or b? -3 Suppose l = 4*y - 47, y + 45 = -l + 6*y. Which is smaller: l or -56? -56 Suppose -2*u + 4 = 3*t, -3*t = -2*u + 2 + 2. Suppose -h = 0, 0 = -u*i + 2*h - 3 - 1. Suppose 2*b = 3*...
{ "pile_set_name": "DM Mathematics" }
he o'th term of 345, 344, 343? -o + 346 What is the z'th term of 33, 51, 81, 123? 6*z**2 + 27 What is the m'th term of 2, -3, 4, 35, 102, 217, 392? 2*m**3 - 6*m**2 - m + 7 What is the w'th term of -55, -111, -167, -223, -279? -56*w + 1 What is the l'th term of -36, -67, -110, -171, -256, -371? -l**3 - 24*l - 11 What is...
{ "pile_set_name": "DM Mathematics" }
lue of -3 + (-2 - (-4 - (3 - 2))) - 10? -10 What is the value of -28 + 0 + (173 - 141)? 4 2 + -2 + 7 + -2 - 29 -24 What is -2 + -10 + (2 + -11 - (70 - 45))? -46 Evaluate -38 - (-76 - (-42 + -4)). -8 What is the value of -8 + 8 + -70 + 143 + -97? -24 -22 + 55 + -23 - 24 - 23 -37 What is the value of (-37 - -13 - -13) + ...
{ "pile_set_name": "DM Mathematics" }
12)/(-1). Factor 1/2*k + u*k**2 + 0. k*(6*k + 1)/2 Let b(w) = -w**3 - 3*w**2 + 5*w + 6. Let f be b(-4). Suppose f = 2*m + m - 2*t, 3*t = -3*m + 12. Factor -3*i**m + 2*i**2 + i + i - i**2. -2*i*(i - 1) Suppose 3*r = 3 - 6. Let p be (7 - r) + -2 - 4. Determine c, given that 2*c - 5*c - 3*c**2 - 8*c**p + 12*c**3 + 2*c**2 ...
{ "pile_set_name": "DM Mathematics" }
a**2 + 208*a + 1920 = 0? -40, -12 Suppose u**5 - 7*u**4 + 15*u**3 - 5*u**2 - 16*u + 12 = 0. What is u? -1, 1, 2, 3 Factor 2*w**2 - 10*w + 12. 2*(w - 3)*(w - 2) Factor 4*w**2 - 716*w. 4*w*(w - 179) Let 4*a**3 - 20*a**2 + 16*a = 0. What is a? 0, 1, 4 Factor 12*m**4 - 68*m**3 + 88*m**2 - 32*m. 4*m*(m - 4)*(m - 1)*(3*m - 2...
{ "pile_set_name": "DM Mathematics" }
p(z) = 33*z**2 + 2*z. What is p(w(r))? 297*r**4 - 6*r**2 Let f = 6 + -3. Let s(n) = -n - 1 + 4 - f. Let v(b) be the third derivative of -35*b**4/24 - 93*b**2. What is s(v(y))? 35*y Let p(x) = -4*x. Let s(y) = 7198126*y. Calculate s(p(m)). -28792504*m Let m(a) = 556*a. Let v(w) = 680741 + w - 680741. What is v(m(o))? 5...
{ "pile_set_name": "DM Mathematics" }
ultiple of p and i? 28 What is the least common multiple of ((-24)/(-14))/(4/42) and 18? 18 Let p(u) = 2*u + 25. What is the lowest common multiple of 24 and p(7)? 312 Let a = 6111517304 - 81955447140229/13410. Let l be 38/(-596)*(-6)/(-5). Let d = a + l. Find the common denominator of d and 31/2. 18 Suppose 7 = -f - 2...
{ "pile_set_name": "DM Mathematics" }
4*u + 3? -25904400*u**3 Find the third derivative of -3*n**6*t**3 + 1033*n**6*t + 29*n**2*t**3 - n*t + 72 wrt n. -360*n**3*t**3 + 123960*n**3*t Find the second derivative of 2*t**4 - 539*t**3 + 14*t**2 - 6451*t. 24*t**2 - 3234*t + 28 Find the second derivative of -2621437*d**3 + 1272223*d wrt d. -15728622*d What is th...
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 11203376 is divided by 135? 131 Calculate the remainder when 17887946 is divided by 137. 130 What is the remainder when 1376347 is divided by 648? 643 Calculate the remainder when 465443 is divided by 182. 69 What is the remainder when 361514 is divided by 51600? 314 Calculate the remainder ...
{ "pile_set_name": "DM Mathematics" }
k*h + 22, -2*f - f + 14 = 2*h. Let a(w) = -w**2 + 7*w - 5. Is a(f) a multiple of 7? True Suppose -2*n - 3*n = -5. Is (-19)/(-3 - -2) - n a multiple of 16? False Suppose 0*q = -q. Suppose -4*r + 14 - 2 = q. Suppose f + r*f = 48. Is f a multiple of 9? False Let m = -24 + 24. Let r = -52 - -93. Suppose 4*o + 3*a + 2*a - r...
{ "pile_set_name": "DM Mathematics" }
- 14. Let v be l(-6). Let u(z) = -132*z - 512. Let x be u(-4). Solve v*g - x = 34 for g. 5 Suppose 1 = -6*u + 19. Suppose -x - 4*d = -15, 3*x - 2*d + u = 2*d. Solve 0*g + x*g + 3 = 0 for g. -1 Let p(t) = 17*t - t**2 + 1 - 10 - 8 + 8*t**2. Let c be p(1). Let v = -2 - -7. Solve v*b + 8 = c*b for b. 4 Let l(n) = n**3 + 4...
{ "pile_set_name": "DM Mathematics" }
y**3 + 0*y - 11*y + y**4 + 0*y - 13*y + 119*y**3 to c*y + t*y**4 + p*y**2 + z + s*y**3 and give p. 4 Express ((-s + 4 - 4 + (-2 + 2 + 1)*(4*s - 2*s + 0*s) - 2 + 2 + s)*(1 - 3 + 0) - 201*s + 8711 - 8711)*(-3*s - s + 3*s) as d*s + o*s**2 + p and give d. 0 Express (1 - 1 + 2)*(-373*r - 359*r + 307*r - 445*r) in the form x...
{ "pile_set_name": "DM Mathematics" }
/9 -1 What is the value of (14/(-10))/(32/160) + 14? 7 What is 0 + (3 - (5 - 7 - -8))? -3 What is the value of (-8)/2 + -4 + 5? -3 Evaluate 30/4 + 46/(-92). 7 Calculate (25 + -24)*1/5. 1/5 What is the value of (-342)/(-1386) + 3/(-7)? -2/11 What is the value of 649/236*1/11? 1/4 What is the value of 4 - (28/98 + 26/7)?...
{ "pile_set_name": "DM Mathematics" }
3*w**4 + 1131*w**3 + 4473*w**2 - 1131*w - 4476 = 0. What is w? -373, -4, -1, 1 Find d such that -11*d**5/3 - 775*d**4/6 + 1630*d**3/3 + 295*d**2/2 - 78*d = 0. -39, -1/2, 0, 3/11, 4 Factor -t**5 + 2953*t**4 - 2181528*t**3 + 2178576*t**2. -t**2*(t - 1476)**2*(t - 1) Factor 24*b**3 - 468224*b**2 - 2341270*b/3 - 975550/3. ...
{ "pile_set_name": "DM Mathematics" }
+ l**2 + 2*l**3) + 483*l**4 + 1431*l**4 - 343*l**4. 1567*l**4 Expand (-8902*f**2 - 7804*f**2 - 1 + 7763*f**2)*(-2 - 2*f + 2). 17886*f**3 + 2*f Expand (-3*b - b + b)*(b**2 + 245 + b - 244 + b**2). -6*b**3 - 3*b**2 - 3*b Expand (-4 + 0 + 2)*((-2 - 1 + 7)*(-8*b + 39*b - b) + 0*b - b - 2*b)*(2*b**2 + 91*b - 91*b + 10 + b*...
{ "pile_set_name": "DM Mathematics" }
3 - -4) composite? False Suppose -a - 193507 = -o - 44303, a - 149190 = -o. Is o composite? False Let a(o) = -30*o**3 - 4*o**2 + 5*o - 17. Let j be a(5). Let z = 3875 - j. Is z a prime number? True Let n be (-8 - -17)/(2/(-60)). Let o = -495 - n. Let k = 614 + o. Is k composite? False Suppose -14666 = 40*g - 83506. Let...
{ "pile_set_name": "DM Mathematics" }
er: y or 6525? 6525 Let l(m) = -2*m**3 + 14*m**2 - 11*m + 1. Let g be l(1). Which is smaller: g or -755? -755 Suppose -116*s + 200*s = -4704. Which is smaller: s or -59? -59 Suppose 9*z - 272 = -25*z. Are 127/14 and z unequal? True Suppose g - 9*r + 7*r + 10 = 0, -g + 18 = 5*r. Let h be (-7412)/1768 - g/4. Which is sma...
{ "pile_set_name": "DM Mathematics" }
q(j) = -21401*j**2 + 38*j - 153. Determine -19*p(r) - 2*q(r). -2380*r**2 + 2 Let r(q) = 6*q + 6. Let y(l) = -13*l - 11. Let p be (-3)/(-2)*(-1380)/414. What is p*r(z) - 2*y(z)? -4*z - 8 Let t(b) = -9128965*b**3 - 10473*b**2 - 73311. Let u(o) = -3487*o**3 - 4*o**2 - 28. Calculate -4*t(z) + 10473*u(z). -3491*z**3 Let w(r...
{ "pile_set_name": "DM Mathematics" }
z*f**2 + 89 - 94 + f - 3*f**2. Calculate r(w). -5 Let p = 22 + -26. Let s(n) = n**3 + 4*n**2 - 2*n - 4. Let r be s(p). Let o(h) = r*h**2 + 0 - 7*h**2 - 1 - 1 - 4*h. What is o(-3)? -17 Let j(b) = -113*b - 7 + 232*b - 120*b - 8. Suppose -3*i + 27 = -6*i. Give j(i). -6 Let t(j) = -3*j**2 + 3*j + 2. Suppose -14*v + 23 + 5 ...
{ "pile_set_name": "DM Mathematics" }
+ u + 1. Let w(a) = -2*a**3 + a + 1. What is h(r) - w(r)? r**3 Let i(s) = 6*s**2 - 6*s + 3. Let w be (-9)/6*-2 + 9. Suppose -w = 4*y + 4. Let u(q) = -2*q - 2*q + 1 + 3*q + q**2. What is y*u(b) + i(b)? 2*b**2 - 2*b - 1 Let p(h) = -h**2. Let q(z) = 2*z**2 - 4*z + 4. Let w(i) = -4*p(i) + q(i). Let g(x) = 11*x**2 - 7*x + ...
{ "pile_set_name": "DM Mathematics" }
4). Suppose 5*o = 3*u, 0 = -2*u + 3*u + 3*o. Is s at most u? False Let r = -5 + 10. Suppose r*c - 5 = 20. Suppose q + q + 6 = -4*z, c*z - 3*q + 2 = 0. Which is greater: z or 2/7? 2/7 Let u = 2 + 2. Suppose 10 = 2*s + 2*t - 2, -s = -5*t + 12. Suppose -s*q = -q - u. Are 3/5 and q unequal? True Let z(t) = t**3 - t**2 - 3*...
{ "pile_set_name": "DM Mathematics" }
+ -5 + sqrt(1872))**2*6. -721247 + 23040*sqrt(13) Simplify ((sqrt(3024)*-2 - sqrt(21) - sqrt(21)) + sqrt(21) - sqrt(63)/(sqrt(12)/sqrt(4)))/(-5*sqrt(6)/sqrt(2) + sqrt(18)/sqrt(54)). 39*sqrt(7)/7 Simplify (sqrt(30)*-2*-6*-5)/(sqrt(4000)*2). -3*sqrt(3)/2 Simplify (-6*sqrt(385)/(-2*sqrt(7)))/(sqrt(220)/(-1*sqrt(5))). -3*s...
{ "pile_set_name": "DM Mathematics" }
d 15? 5 Calculate the highest common factor of 26285133 and 777. 777 Calculate the greatest common divisor of 161 and 253253. 161 What is the highest common factor of 64779 and 78? 39 What is the greatest common factor of 18 and 95400? 18 What is the greatest common divisor of 11 and 530189? 11 What is the greatest com...
{ "pile_set_name": "DM Mathematics" }
placement from {x: 1, d: 1, z: 2, o: 1, v: 2, y: 1}. 1/14 What is prob of picking 2 a and 1 z when three letters picked without replacement from zoaazzaaoaooaooooao? 21/323 What is prob of picking 1 k and 1 o when two letters picked without replacement from {e: 4, o: 5, d: 8, k: 2}? 10/171 Calculate prob of picking 1 m...
{ "pile_set_name": "DM Mathematics" }
w. 3 Suppose -i + 2*x = -17, x + 7 + 19 = 3*i. Solve v - i = -4*b, 3*b - v + 0*v = 7 for b. 2 Let s(d) be the third derivative of d**4/12 - d**3/3 - 3*d**2. Let q be s(13). Solve -4*z - 4*f + q = 0, -z + f + 0*f + 2 = 0 for z. 4 Suppose -4*b = -6*b. Suppose b = -r + 5 - 3. Solve -1 = 2*k - m - 10, -r*k + 5 = -5*m for k...
{ "pile_set_name": "DM Mathematics" }
16*k - 14*k = 2 for k. 1 Solve 19 = -k + 24 for k. 5 Solve -8*v + 0 = 24 for v. -3 Solve -4*z + 5 = -3*z for z. 5 Solve 12*v - 19*v - 43*v = 0 for v. 0 Solve 0 = -3*a - a - 0*a for a. 0 Solve -19*v = -109 - 62 for v. 9 Solve 0 = i - 1 - 1 for i. 2 Solve 3 = 3*z - 9 for z. 4 Solve -11*v = 18 + 4 for v. -2 Solve -8*k - ...
{ "pile_set_name": "DM Mathematics" }
k wrt p? -20808*d**3 - 6*d*k Find the third derivative of -259*s**6 + s**2 - 3*s wrt s. -31080*s**3 What is the second derivative of -60*x**3 - 9*x**2 - 51*x - 3 wrt x? -360*x - 18 What is the third derivative of -927*k**4 + 333*k**2 + 1? -22248*k Find the first derivative of -t**3 - 8*t - 722. -3*t**2 - 8 Find the se...
{ "pile_set_name": "DM Mathematics" }
628? -123314 What comes next: 1539312, 3079019, 4618726, 6158433, 7698140, 9237847? 10777554 What is the next term in 49830718, 99661438, 149492158, 199322878, 249153598? 298984318 What is next in 692024, 691368, 690710, 690050, 689388, 688724? 688058 What comes next: -15416, -61573, -138500, -246197, -384664, -553901,...
{ "pile_set_name": "DM Mathematics" }
e remainder when p is divided by 53. 50 Let p be (-4)/(4/(-1)) - -2. Suppose -20 = -2*y - 0*j + 2*j, j = -p*y + 14. What is the remainder when 16 is divided by y? 4 Let l(t) = -12*t**2 - t**3 + 2*t**3 + 17*t**2 + 3*t. Calculate the remainder when 6 is divided by l(-4). 2 Suppose 3*x + 4*c = -21 - 2, c + 2 = 0. What is ...
{ "pile_set_name": "DM Mathematics" }
11*v - 21 = i. Let q be 2 + v/((-28)/16). Solve -5*t = 3*f + 10, q = 4*f - f - 3*t for f. 0 Let y = -209 - -221. Suppose -4*h + 3*h - 5 = 0, -4*j - 4*h - y = 0. Solve -2*b + 4*l + 26 = 0, -3*l = j*b - 5*b + 24 for b. 3 Let h be 807/(-12)*(17 + -5)/(-3). Let a = h - 265. Solve -9 = x - j, -a*x = -2*x - 5*j + 30 for x. ...
{ "pile_set_name": "DM Mathematics" }
e nearest to 1? (a) 1/78 (b) 1138 (c) 4 (d) -1 a What is the closest to 1/3 in 2, 4195.147, -1, 4, 0.5? 0.5 Which is the nearest to -87459? (a) -17/7 (b) 0 (c) -3 c Which is the closest to -4.786? (a) -1 (b) 5 (c) 4/13 a What is the nearest to 3/21340 in -4, 4/3, -2/17? -2/17 Which is the closest to 30/17? (...
{ "pile_set_name": "DM Mathematics" }
2, a: 1}. What is prob of picking 1 s, 2 t, and 1 c? 4/21 Two letters picked without replacement from {t: 4, a: 10}. Give prob of picking 2 t. 6/91 Calculate prob of picking 1 t and 2 x when three letters picked without replacement from xxxxxxxxxxsxxxt. 6/35 Two letters picked without replacement from {h: 1, w: 2}. Wh...
{ "pile_set_name": "DM Mathematics" }
2*c**3 - c**2 - 5*c + 2 Let g(q) = 8553*q**3 + 5*q**2 + q. Let f(b) = 2*b**3 + 2*b**2 + b. Determine 2*f(u) - g(u). -8549*u**3 - u**2 + u Let i(r) = -4*r**2 + 7*r + 6. Let l = -541 - -566. Let k(w) = l - 10*w - 11 + 6*w**2 - 10 - 13. Give -7*i(v) - 5*k(v). -2*v**2 + v + 3 Let b(s) = 14*s + 23. Let i(f) = -10*f - 19. L...
{ "pile_set_name": "DM Mathematics" }
t q. -84292*q What is the second derivative of -1075*g**4 + 18*g**2 + 336389*g wrt g? -12900*g**2 + 36 What is the second derivative of 502767*t**2 - 722646*t wrt t? 1005534 What is the third derivative of -73*c**5 - 2694*c**4 - 1236162*c**2 wrt c? -4380*c**2 - 64656*c Find the first derivative of 58971*c - 159201 wrt ...
{ "pile_set_name": "DM Mathematics" }
c. 630 Express ((0 - h**2 + 0)*(-4*h**2 + 4*h**2 + 2*h**2) + 14*h**4 + 445*h - 444*h - 2*h**3 - 7*h**3)*(3 + 2 - 6) as r*h**4 + z*h + l*h**3 + d + s*h**2 and give z. -1 Express -2 - 31*i - 14*i**2 + 33*i + 4 + 15*i**3 - 14*i**3 in the form q*i**2 + u*i**3 + x*i + g and give q. -14 Express -124 + 209*o + 58 + 66 as d*o ...
{ "pile_set_name": "DM Mathematics" }
r and 1 b? 1/13 What is prob of picking 3 x and 1 b when four letters picked without replacement from {x: 4, b: 3}? 12/35 Calculate prob of picking 1 b and 2 h when three letters picked without replacement from {h: 6, k: 2, m: 1, s: 3, r: 1, b: 2}. 6/91 Four letters picked without replacement from kkkqqqqkqqkqkk. What...
{ "pile_set_name": "DM Mathematics" }
? (a) -0.01 (b) 0.163 (c) 949 (d) -2/17 d What is the sixth biggest value in -1/4, 5, -0.1, -254, -13, -5, -2? -13 What is the second biggest value in 1, 5, -9.8845, 1.2? 1.2 What is the biggest value in 0.61, -87, 38, -32? 38 What is the fourth biggest value in 5499, 292, -3, -4? -4 Which is the fourth biggest val...
{ "pile_set_name": "DM Mathematics" }
+ 66*p**2 - 2*p wrt p. 120*p**2 + 24 What is the second derivative of 295*g**4*s**3 - g*s**3 - 13*s wrt g? 3540*g**2*s**3 Find the third derivative of -2110*l**6 + l**4 - l**2 + 8705 wrt l. -253200*l**3 + 24*l What is the derivative of -1317*u - 2790 wrt u? -1317 Find the second derivative of -96*d**3*r**4 - 6*d**3*r +...
{ "pile_set_name": "DM Mathematics" }
11? 8 Let t = -209 - -346. What is the remainder when t is divided by 31? 13 What is the remainder when -106*((-2)/(-6) - 44/33) is divided by 55? 51 Let c(x) = x**2 - 21*x + 64. Calculate the remainder when 43 is divided by c(19). 17 Let b = -21 - -115. Let f(y) = y**3 + 10*y**2 - 9*y + 4. Let z be f(-9). Let j = z -...
{ "pile_set_name": "DM Mathematics" }
0. Let w = z - i. Calculate the common denominator of 37/14 and w. 140 Calculate the common denominator of -67/22 and -1 + 0 + (-65)/70. 154 Suppose 3*w + 2*w = 425. Suppose 5 = 5*f + w. Find the common denominator of 73/20 and 1 - 154/f - 0. 40 What is the common denominator of (-1265)/(-60) + 1/(-3) and 37/7? 28 Let ...
{ "pile_set_name": "DM Mathematics" }
15*y**2 + 5*y + 5. Let a(r) = -16925*r**3 - 24*r**2 + 8*r + 8. Determine -5*a(v) + 8*l(v). -5639*v**3 Let d(o) = -5*o - 24. Let x(v) = 415*v - 25 + 287*v - 706*v. Give 2*d(z) - 3*x(z). 2*z + 27 Let y(r) = -6*r**2 - 1. Let k(n) = 32*n**2 + 7*n + 1. Let u(o) = -k(o) - 5*y(o). Let b(p) = -p**2 - 4*p + 2. Calculate 5*b(a) ...
{ "pile_set_name": "DM Mathematics" }
is the product of 9 and 0.02? 0.18 -41*-0.2 8.2 What is 1.963 times 4? 7.852 -5 * -198.2 991 -0.5 times -94 47 What is the product of 0 and 15.9? 0 What is the product of 5 and -6.3? -31.5 0.02 * 0.1 0.002 0.22*-4 -0.88 Calculate 60.4*6. 362.4 Product of 0.11 and -0.574. -0.06314 Multiply -0.3 and -116. 34.8 11.8 * 6 7...
{ "pile_set_name": "DM Mathematics" }