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he form q*i**2 + u + k*i + h*i**4 + z*i**3 and give u. -49 Express (-2*y + 0*y - 2*y)*((5*y**2 - 4*y**2 + y**2)*(-1 - 2 + 1) - 80*y**2 - 88*y**2 + 49*y**2) as t + f*y + l*y**2 + c*y**3 and give c. 492 Express -9 + 3*d**3 + 21*d + 19*d - 44*d + 1 + 2 + 3*d**2 in the form b*d**2 + x*d**3 + n*d + r and give b. 3 Rearrange...
{ "pile_set_name": "DM Mathematics" }
rder. -2, l, 2 Suppose 4 = m + 4*h - 5, -2*m = 2*h - 12. Let i be -8*((-6)/(-16))/(-3). Sort i, m, 9. i, m, 9 Suppose -6 = 5*g - 26, 2*g = -4*r + 4. Let l(p) = 3*p**3 - p**2 - 3*p - 1. Let n be l(r). Let w be 1*n + 0/(-1). Sort -7, 2, w in decreasing order. 2, w, -7 Let j(n) be the second derivative of n**5/20 - n**4/1...
{ "pile_set_name": "DM Mathematics" }
Expand (q**2 + 2*q**2 - q**2)*(0 + 1 + 0 + (2 + 0 + 1)*(2 + 0 + 0) + 0 - 4 + 2). 10*q**2 Expand 12*s**3 - 23*s**2 + 23*s**2 + (1 - 1 + 1)*(0*s**2 + 0*s**2 + 2*s**3). 14*s**3 Expand (-4*k + 2*k + 0*k)*(-2*k - 3*k + 6*k) + k**2 + 2 - 2 + 1 + 2*k**2 - 1 - 4*k**2 + k + 6*k**2 + 2 - 5*k**2. -2*k**2 + k + 2 Expand (2*n - 5*n...
{ "pile_set_name": "DM Mathematics" }
ided by (-16)/(-1) + 12/(-4)? 10 Suppose k = -3*w + 43, 3*k + 0*k + 79 = 4*w. Suppose -10*r - 37 + 187 = 0. Suppose -2*i = -r + 7. Calculate the remainder when w is divided by i. 0 Let t(v) = 3*v**2 - 657*v - 14853. Calculate the remainder when t(-22) is divided by 211. 209 What is the remainder when (-13)/(31500/1659 ...
{ "pile_set_name": "DM Mathematics" }
What is h? 0, 8/11, 1 Factor 5*l**4 + 710*l**3 + 2100*l**2 + 2090*l + 695. 5*(l + 1)**3*(l + 139) Factor w**4/5 + 11*w**3/5 - 8*w**2 + 28*w/5. w*(w - 2)*(w - 1)*(w + 14)/5 Suppose -4*z**3 - 80*z**2 - 253*z + 1587 = 0. Calculate z. -23/2, 3 Factor 3*t**2 - 9870*t + 8118075. 3*(t - 1645)**2 Factor -27*k**4/8 - 35631*k**...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {c: 5}. Give prob of sequence ccc. 1 Three letters picked without replacement from anddndundd. What is prob of sequence nna? 1/120 Calculate prob of sequence koj when three letters picked without replacement from sfsoksjbsjff. 1/660 What is prob of sequence nh when two letters picked wit...
{ "pile_set_name": "DM Mathematics" }
34527*w + 13 What is the v'th term of 875369, 875945, 876497, 877013, 877481? -2*v**3 + 590*v + 874781 What is the o'th term of -5845, -20427, -43757, -75835, -116661, -166235, -224557? -4374*o**2 - 1460*o - 11 What is the y'th term of -1146, 621, 5304, 12903, 23418? 1458*y**2 - 2607*y + 3 What is the z'th term of 4356...
{ "pile_set_name": "DM Mathematics" }
(((y*y**(-2/7))/y)/y))*(y**(3/5)*y)**(-11/7))**(-1/16) assuming y is positive. y**(-13/40) Simplify ((f**(-10)/(f*f**(1/16)))/(((f/f**20)/f)/f*f**(1/7)))**(-41) assuming f is positive. f**(-44977/112) Simplify b*b/(b**(4/3)*b)*b**0/b*(b**0)**(-7)*b**6*b**3*(b**0)**(-42) assuming b is positive. b**(23/3) Simplify (k/(k/...
{ "pile_set_name": "DM Mathematics" }
w**2 - 5*w + 2. What is -5*f(t) + 3*v(t)? -2*t**2 - 2*t - 1 Let o(s) = -11*s + 19. Let z(u) = 7*u - 12. Let m(t) = 5*o(t) + 8*z(t). Let g(h) be the third derivative of -7*h**4/24 + h**3/2 - 37*h**2. Give -g(f) - 2*m(f). 5*f - 1 Let w(d) = -6*d + 2. Let s(z) = 29*z - 9. Let c(q) = s(q) + 7*w(q). Let t(v) = -6*v + 3. Giv...
{ "pile_set_name": "DM Mathematics" }
that t(l) = 0. -2, -1/4, 0 Factor 5/3*k - 1/3 - 4/3*k**2. -(k - 1)*(4*k - 1)/3 Let q = 11 - 5. Find y such that -y**2 + 7*y - 4 + 4*y**5 - q*y**2 + 6 - 11*y**3 + 0*y**3 + 5*y**4 = 0. -2, -1, -1/4, 1 Let f be (-126)/4*2/(-3). Let q = f + -17. Find a such that -2/9*a**2 + 0*a**3 + 0 + 2/9*a**q + 0*a = 0. -1, 0, 1 Factor ...
{ "pile_set_name": "DM Mathematics" }
*y + 6*y**2 - y**2. -2*y**2 - 16*y Collect the terms in 14 + 80*x**2 - 14 - 324*x**2. -244*x**2 Collect the terms in 43*h**2 + 6*h**2 - 1 + 3 - 8*h**2. 41*h**2 + 2 Collect the terms in 756*m**2 - 6 - 800*m**2 - 4. -44*m**2 - 10 Collect the terms in 29*j - 5*j - 3 - 8*j**2 - 2*j + 1. -8*j**2 + 22*j - 2 Collect the terms...
{ "pile_set_name": "DM Mathematics" }
se 3) to base 8. -22 What is -b (base 13) in base 10? -11 Convert -5 (base 7) to base 6. -5 What is 60 (base 13) in base 11? 71 Convert -100 (base 5) to base 8. -31 -7 (base 14) to base 9 -7 What is 1010 (base 3) in base 6? 50 What is -45 (base 16) in base 5? -234 -116 (base 7) to base 9 -68 Convert -1 (base 7) to base...
{ "pile_set_name": "DM Mathematics" }
tance between 0.35489739515 and -1.3? 1.65489739515 0.5 + -446981851871 -446981851870.5 -220224.7 + -0.0656305 -220224.7656305 Sum -0.4 and -47737.513955. -47737.913955 What is -4465 + 40960282237? 40960277772 Add 0.02634 and 18816.7364. 18816.76274 Add together -326108.8 and -3.64864. -326112.44864 Work out 59209091 +...
{ "pile_set_name": "DM Mathematics" }
+ 1 Let n(j) = 112*j**2 + 3*j + 38. Let k(l) = l + 8. Give -5*k(f) + n(f). 112*f**2 - 2*f - 2 Let m(u) = 168*u - 128. Let h(s) = -244*s + 192. Give 5*h(q) + 7*m(q). -44*q + 64 Let g(n) = 4*n + 18. Let c(l) = 41 - 12 - 19 - 3*l - 27. What is -3*c(i) - 2*g(i)? i + 15 Let x(w) = -21*w - 2354. Let m(y) = -158*y - 16477. W...
{ "pile_set_name": "DM Mathematics" }
)*(-2*d - 2*d + 2*d) + 3*d**2 + d**3 - 3*d**2 + 21*d**2 - 54*d**2 + 33*d**2 - 23*d**3. -26*d**3 Expand (-k**3 + 0*k**2 + 0*k**2)*(-3 + 5 - 1)*(-2 - 2*k + 2) + (-k + 0*k + 3*k)*(104*k + 28*k**3 - 104*k). 58*k**4 Expand ((0*g**2 - g**2 + 2*g**2)*(5*g + 2*g - 2*g) + 2*g**3 - g**3 - 3*g**3)*(4*g**2 + 0*g + 0*g) - g**2 - g*...
{ "pile_set_name": "DM Mathematics" }
ly -40.3 and 0. 0 2*-0.039728 -0.079456 0.3821*-1.05 -0.401205 What is -0.69 times 19? -13.11 20 times 1.1623 23.246 0.07 times -8214 -574.98 Product of 15524263 and -4. -62097052 -117 times -0.08 9.36 Work out -0.5 * -221.587. 110.7935 -261084 times -0.4 104433.6 Work out -17 * 23497. -399449 Product of -24908 and -3....
{ "pile_set_name": "DM Mathematics" }
(b) h (c) x c Let t = 2.69 - 0.69. Which is the second biggest value? (a) -0.06 (b) 4 (c) t c Let g = 6.03 + -0.03. Let p = g - 7. Which is the third smallest value? (a) p (b) 3 (c) -0.3 b Let z = -0.1 + 0.4. Let i = z + 0.1. Which is the second biggest value? (a) 5 (b) i (c) -0.4 b Let x be -3*(-2 + 4/6). S...
{ "pile_set_name": "DM Mathematics" }
-22? False Let y = -17.488 - -14.488. Which is smaller: y or -435? -435 Let q = 0.123 - -2681.877. Do 1 and q have the same value? False Let b(y) = y - 8. Let g be b(6). Suppose 24 = p + 4*a - 4, -68 = -3*p + 4*a. Let j be (-21)/p - g - 0/(-2). Which is greater: -0.2 or j? j Suppose -2*j + f = -7, -j = -4*j + 4*f + 23....
{ "pile_set_name": "DM Mathematics" }
(10)*-1 - sqrt(10) - sqrt(10))*-5) + 2. -4*sqrt(17)/15 + 2 Simplify 2 + sqrt(49)/(sqrt(700) - sqrt(7)) + -2. sqrt(7)/9 Simplify (2 + sqrt(7))*-2 + -1. -2*sqrt(7) - 5 Simplify (-1 + (sqrt(2) + sqrt(98) + 1 - sqrt(588)/sqrt(6)))**2. 2 Simplify sqrt(228)/(sqrt(588) + sqrt(588)*-1 + sqrt(588)). sqrt(19)/7 Simplify (3*(sqrt...
{ "pile_set_name": "DM Mathematics" }
5, 1019, 887, 713? -p**3 - 5*p + 1265 What is the m'th term of -23704, -47398, -71094, -94792? -m**2 - 23691*m - 12 What is the n'th term of -832, -1501, -2166, -2827, -3484, -4137, -4786? 2*n**2 - 675*n - 159 What is the z'th term of -2586274, -2586272, -2586270, -2586268, -2586266, -2586264? 2*z - 2586276 What is the...
{ "pile_set_name": "DM Mathematics" }
and 78023. 11 What is the highest common factor of 231 and 1351119? 231 What is the highest common factor of 962 and 4472? 26 Calculate the highest common divisor of 75874 and 1888. 118 Calculate the greatest common factor of 1602 and 1854. 18 Calculate the highest common factor of 1705 and 99169. 31 What is the highes...
{ "pile_set_name": "DM Mathematics" }
j = 7.813 + y. What is j rounded to the nearest integer? 8 Let z = -15.911562 - -15.877. Round z to 4 dps. -0.0346 Suppose 63*d - 66*d + 15120797 = 4*w, 3780205 = w - 5*d. Round w to the nearest one million. 4000000 Let j = 12063.100092527 - 12063.1. Round j to 6 decimal places. 0.000093 Let j = -17.9898661 + 17.991. R...
{ "pile_set_name": "DM Mathematics" }
ator of 26 and (s/(-8))/(9/(-86))? 6 Let g = -7 + -6. Calculate the common denominator of -5/8 and g/(-4) - 3/2. 8 Let v = -102035/18 - -5671. What is the common denominator of 7/2 and v? 18 Suppose g + 3*g - 2*r = -4, 4 = -3*g + r. Calculate the least common multiple of 11 and ((-55)/(-20))/(g/(-8)). 11 Suppose 4*b = ...
{ "pile_set_name": "DM Mathematics" }
factors of 32829. 3, 31, 353 List the prime factors of 2759. 31, 89 List the prime factors of 1310. 2, 5, 131 List the prime factors of 12271. 7, 1753 What are the prime factors of 1570? 2, 5, 157 What are the prime factors of 38565? 3, 5, 857 What are the prime factors of 5726? 2, 7, 409 What are the prime factors of ...
{ "pile_set_name": "DM Mathematics" }
inder when 19 is divided by 17. 2 What is the remainder when 21 is divided by 20? 1 What is the remainder when 163 is divided by 74? 15 What is the remainder when 6100 is divided by 11? 6 What is the remainder when 2032 is divided by 9? 7 What is the remainder when 611 is divided by 157? 140 Calculate the remainder whe...
{ "pile_set_name": "DM Mathematics" }
hird derivative of -k**4/12 + k**3/6 + 4*k**2. Let m be b(-5). Suppose 4*o + m = 51. What is the tens digit of o? 1 Suppose -7 - 17 = -4*t. Suppose y - 10 = -t. Suppose 3*f + 5*z = 4*z + 11, 4*f + 4*z = y. What is the units digit of f? 5 Let n = -12 + -3. Let v = 12 + -7. Let b = v - n. What is the units digit of b? 0 ...
{ "pile_set_name": "DM Mathematics" }
What is the second derivative of -784*x**5 - 14*x**4 - 45714*x wrt x? -15680*x**3 - 168*x**2 What is the derivative of 2515*o**3 + 13*o**2 + 87506? 7545*o**2 + 26*o Find the second derivative of -1423*g**3*v**2 + g**3 + 118*g**2*v**2 + 143861*g**2*v + 4*g*v wrt v. -2846*g**3 + 236*g**2 What is the second derivative of...
{ "pile_set_name": "DM Mathematics" }
275, 379? a**3 + a**2 + 2*a + 115 What is the n'th term of -59, -63, -65, -65, -63? n**2 - 7*n - 53 What is the r'th term of 42, 137, 292, 507, 782, 1117? 30*r**2 + 5*r + 7 What is the w'th term of -2040, -2051, -2076, -2121, -2192? -w**3 - w**2 - w - 2037 What is the y'th term of 2066, 2064, 2062, 2060, 2058? -2*y + ...
{ "pile_set_name": "DM Mathematics" }
**5 = 0. -2, -1, 0, 1 Let l(f) = -27*f**2 + 345*f + 810. Let k(r) = -138*r - 55 - 117 - 118 + 29 + 11*r**2 - 64. Let x(a) = -12*k(a) - 5*l(a). Factor x(w). 3*(w - 25)*(w + 2) Let n = 544206 + -544202. Factor -1/4*t**3 - 3/2 + 13/4*t - 7/4*t**2 + 1/4*t**n. (t - 2)*(t - 1)**2*(t + 3)/4 Let h(d) = -d**2 + 672*d - 110220. ...
{ "pile_set_name": "DM Mathematics" }
170))*3)/(-1*sqrt(10)*-2) + (sqrt(425)*2 + 2)*-1. -11*sqrt(17)/2 - 2 Simplify ((sqrt(85) - (-2*sqrt(85) - sqrt(85))*-2) + -2*1*sqrt(85))/((-2*(sqrt(10) + sqrt(360)))/sqrt(2)). sqrt(17)/2 Simplify -4*((sqrt(99)*-3 - sqrt(99))*4 + -5 + -1) + 5. 29 + 192*sqrt(11) Simplify 1 + (1*sqrt(384)*1)/(sqrt(108) - sqrt(108)*-1 - sq...
{ "pile_set_name": "DM Mathematics" }
, -4, -35 Put 52, 5, -8, -10, -2, 3, 7 in increasing order. -10, -8, -2, 3, 5, 7, 52 Put -4, -13, 5, -37, 2, 19, 6 in increasing order. -37, -13, -4, 2, 5, 6, 19 Put -1/7, 2/13, -0.2, -533, 3, -1 in increasing order. -533, -1, -0.2, -1/7, 2/13, 3 Sort -5, 11153, -321. -321, -5, 11153 Put 0, -4, -45, 2, -121, 3 in ascen...
{ "pile_set_name": "DM Mathematics" }
is the second derivative of -x*c**3 + c**3 - v*c + 81*c wrt c? -30*c Suppose 0 = -8*x + 13*x. Let m(i) be the first derivative of 0*i - 1/3*i**3 - i**5 + 3 + 0*i**4 + x*i**2. Find the third derivative of m(z) wrt z. -120*z Suppose -3*g = -8 - 1. Let w(n) = -n**3 + 4*n**2 - n - 4. Let h be w(g). Find the third derivati...
{ "pile_set_name": "DM Mathematics" }
56*y**3/39 - 2*y**2 + 195*y. Find c such that o(c) = 0. -56, -1, 1 Let c be 6*(1 - 14/(-4)). Suppose 0 = -28*q + c*q + 3. Factor 8*r**q - 4*r**5 - 4*r**4 + 1571 - 1571. -4*r**3*(r - 1)*(r + 2) Factor -13972644/5 + 14952/5*u - 4/5*u**2. -4*(u - 1869)**2/5 Let q(c) be the third derivative of c**5/300 + 19*c**4/60 + 23*c...
{ "pile_set_name": "DM Mathematics" }
-16*q**3 - 8*q**2 - 2*q + 2 Let m = -10296 - -10299. Let r(k) be the first derivative of k**m - 9/2*k**2 - 4*k - 22. Let s(p) = -2*p**2 + 5*p + 2. Calculate 4*r(j) + 7*s(j). -2*j**2 - j - 2 Let t(h) = 4*h**3 - 4*h**2 + 2. Let z(d) = 4*d**3 + 19*d**2 - 4*d - 5. Let i(k) = 3*k**3 + 13*k**2 - 3*k - 3. Let m(g) = -3*i(g) +...
{ "pile_set_name": "DM Mathematics" }
s -39d2 - 2d? -3a10 In base 15, what is -b + -126? -132 In base 14, what is dc5 - -d7? 10bc In base 10, what is -403363 + 5? -403358 In base 9, what is 13 - -255828? 255842 In base 4, what is 1112321 - -10? 1112331 In base 13, what is -4 + -1abc2? -1abc6 In base 2, what is 101001 - 1001000001110? -1000111100101 In base...
{ "pile_set_name": "DM Mathematics" }
rt 5, x, t in descending order. 5, t, x Suppose -2*i = -7*i. Let g = 893/5 + -179. Sort i, -5, g, -2. -5, -2, g, i Suppose 0 = -3*j - 2*c - 4, -5*j = -2*c + 7 + 5. Suppose 9*m = 119 - 65. Sort j, 3, m in ascending order. j, 3, m Suppose 20*m - 16*m - 3*p = -38, -4*p = 2*m + 30. Sort -2/7, -0.4, 0.5, m in descending ord...
{ "pile_set_name": "DM Mathematics" }
lculate -3401112 divided by -1133704. 3 What is -3408590 divided by -3? 3408590/3 What is 30105 divided by 293? 30105/293 Calculate 368980110 divided by 18. 20498895 Divide -1 by -8878859. 1/8878859 -1 divided by -3897521 1/3897521 Divide 13227054 by -34. -389031 Divide -19989 by 63. -2221/7 Divide 3264816 by -48012. -...
{ "pile_set_name": "DM Mathematics" }
7, 2, -3, -7 in descending order. 7, 2, -3, t, -7 Suppose -60 = -0*y - 2*y. Let v be (21 - 17)*3/y. Let b be (3/4)/((-2)/8). Sort v, b, -3/13. b, -3/13, v Let d = 57 - 38. Suppose -2*b + d = 145. Let m be (5 + 1)*(-3)/b. Put -7, m, -3 in descending order. m, -3, -7 Let u = -19801.2 - -19801. Sort u, 9, -0.5, -0.4, 5 i...
{ "pile_set_name": "DM Mathematics" }
y 30? 11 What is the remainder when 115843 is divided by 40? 3 What is the remainder when 13543 is divided by 98? 19 What is the remainder when 52418 is divided by 15? 8 Calculate the remainder when 3026 is divided by 146. 106 Calculate the remainder when 1318937 is divided by 439636. 29 What is the remainder when 162 ...
{ "pile_set_name": "DM Mathematics" }
2 + 30. Let t be a(-5). Put t, -2, 4 in descending order. 4, -2, t Let f = 394/105 - 19/5. Let v = 0.09 - 0.27. Let j = 3.82 - v. Put f, -0.3, j in decreasing order. j, f, -0.3 Let i be 4/(-2) - -2*2. Suppose 3 - 1 = i*z. Let q(w) = w**3 + 7*w**2 + 9*w + 13. Let t be q(-6). Sort z, t, 3 in increasing order. t, z, 3 Let...
{ "pile_set_name": "DM Mathematics" }
when two letters picked without replacement from {k: 1, x: 2}? 1/3 Three letters picked without replacement from {s: 1, y: 2}. What is prob of sequence yys? 1/3 Two letters picked without replacement from {o: 13, r: 6}. What is prob of sequence oo? 26/57 Two letters picked without replacement from {d: 9, t: 5}. Give p...
{ "pile_set_name": "DM Mathematics" }
. Suppose u*m + 1 = m. Let y = 15 - m. Calculate the highest common factor of y and 112. 14 Suppose 3*u - 1032 = -225. Suppose -5*v + i + u = 0, 3*v - 4*v = -5*i - 49. Suppose -4 = 5*x - 34. What is the highest common factor of v and x? 6 Suppose 3*p + 0*p = 60. Calculate the greatest common divisor of p and 4. 4 Suppo...
{ "pile_set_name": "DM Mathematics" }
ange (3 - 2*r**2 - 3)*(-2*r + 2*r - r) + (17*r - 2*r + 28*r)*(-r + r - r**2) to the form c*r**3 + v*r + h*r**2 + x and give c. -41 Rearrange 30*n**3 + 96*n + 16*n**3 - 107*n + 5 - 31*n**3 to the form q*n**2 + g*n**3 + h + o*n and give q. 0 Express -118*l**3 + 116*l**3 - 11*l**2 - 5 + 9 - 6 + 6*l**4 - 3 in the form v*l*...
{ "pile_set_name": "DM Mathematics" }
+ 1 - 281*r. Calculate 6*q(o) - 5*s(o). -2*o**2 + o + 5 Let r(l) = -3*l - 1. Let p(w) = 194*w - 5. Determine p(q) - 3*r(q). 203*q - 2 Let g(v) = -10*v**2 - 17*v + 6. Let w(p) = 8*p**2 + 16*p - 5. Determine -5*g(a) - 6*w(a). 2*a**2 - 11*a Let u(y) = -y**3 + 2*y**2 + 2*y - 1. Let c = -3 + 5. Let i be u(c). Suppose -4*r ...
{ "pile_set_name": "DM Mathematics" }
= 0.177 + 0.023. What is the closest to 0.1 in -4, d, -0.3? d Suppose 72 = 7*p - 10*p. Let n be (-2)/4*(-16)/p. Which is the nearest to n? (a) 1 (b) -0.4 (c) -1 b Suppose -s - 20 = 4*s. Let u = -8 + 6. Let t = 2.1 + u. What is the nearest to -1 in s, t, 1? t Let f = 23 - 160/7. Let z be (-2)/4 - 6/(-15). Which is th...
{ "pile_set_name": "DM Mathematics" }
(n**(-2/13)*n**(2/9))**(1/9) assuming n is positive. n**(8/1053) Simplify (q**3/q)**(-11) assuming q is positive. q**(-22) Simplify (t*(t*t**(2/59))/t*t*t)**37 assuming t is positive. t**(6623/59) Simplify a/(a**(15/4)/a)*a**(-2/49)/a*a assuming a is positive. a**(-351/196) Simplify (c/(c*c**(1/4)*c))/(c**(-2)*c)*c*c*...
{ "pile_set_name": "DM Mathematics" }
6696? True Is 7 a factor of 98? True Is 342 a multiple of 16? False Is 53 a factor of 8745? True Is 8 a multiple of 4? True Is 27 a factor of 2241? True Does 3 divide 27828? True Does 11 divide 4014? False Is 775 a multiple of 17? False Is 305 a multiple of 9? False Does 168 divide 13250? False Is 10 a factor of 10? T...
{ "pile_set_name": "DM Mathematics" }
*q**2 + v + y*q and give l. 18 Express (7*k**3 + 2*k**3 - 4*k**3)*(-642 - 1089 - 26 - 784) in the form l + i*k + n*k**3 + d*k**2 and give n. -12705 Express (-3*x + 2*x + 3*x)*(-x + 1 - 1)*(-6264 + 6264 + 780*x) as l + c*x**3 + n*x**2 + k*x and give c. -1560 Rearrange -213*b - 424*b + 29*b**2 - 45*b - 26*b**2 + 121*b to...
{ "pile_set_name": "DM Mathematics" }
roduct of 0.93 and 0.11. 0.1023 Calculate 0.3*36. 10.8 What is the product of -9005 and 1? -9005 Calculate -1.24*8. -9.92 What is the product of 236 and -1? -236 -160*15 -2400 What is the product of -4.99 and 0.23? -1.1477 0.1085 * -0.2 -0.0217 Work out 27 * 38. 1026 Multiply 3.6 and -0.03. -0.108 -20.1 * -0.6 12.06 Wh...
{ "pile_set_name": "DM Mathematics" }
n 0.05, 1/7, 2/11, 265, -8? 0.05 What is the closest to 0.32 in 0.1, 2/9, -0.032, 3, 52? 2/9 What is the nearest to -113281 in 0.1, 0, -0.4, -2/11, -1/13? -0.4 Which is the closest to 0.1? (a) 0.2 (b) 23408 (c) 104 (d) -2 a Which is the closest to -1/3? (a) 2 (b) 3.2 (c) 1.04 (d) -4 (e) -54 c What is the close...
{ "pile_set_name": "DM Mathematics" }
ent from {e: 3, a: 4, z: 6}. 1/13 Four letters picked without replacement from aawdwfddfafdfspdddda. What is prob of sequence wdad? 56/14535 Three letters picked without replacement from {j: 6, m: 2, v: 4, c: 1}. What is prob of sequence jjv? 10/143 What is prob of sequence cjh when three letters picked without replace...
{ "pile_set_name": "DM Mathematics" }
31. Suppose 0 = 5*i + 15 - c. Is y less than i? True Let c(v) = -4*v + 87. Let d be c(17). Let w be ((-3)/1 - -3) + d. Which is smaller: 21 or w? w Let t be (72/60)/((-6)/(-20)). Suppose -t*g + 0*g + 704 = 0. Suppose 24 + g = -5*b. Is b != -39? True Suppose -5*o = 5*h + 2645, -326 = h - 2*o + 218. Let a = h + 535. Is a...
{ "pile_set_name": "DM Mathematics" }
rst derivative of 4*t**4/3 + 20*t**3/3 + 20*t - 28. Let w(v) be the first derivative of b(v). What is the second derivative of w(a) wrt a? 32 Let y = 11 + -15. Let i = -1 - y. What is the third derivative of -3*t**5 + 3*t**2 - t**5 - i*t**5 + 3*t**2 wrt t? -420*t**2 Let p(s) be the third derivative of -2*s**2 + 1/2*s**...
{ "pile_set_name": "DM Mathematics" }
ivided by 17. 14 Suppose 4*k = -3*d - k + 117, 0 = -4*k. Calculate the remainder when 465 is divided by d. 36 Let o(y) = -y**3 + 35*y**2 - 34*y + 37. Suppose 3*g = -2*u - 2*u + 577, 0 = 3*g + 3. What is the remainder when u is divided by o(34)? 34 Let q(x) = 7*x**2 + 16*x - 37. Calculate the remainder when q(-8) is div...
{ "pile_set_name": "DM Mathematics" }
-8)*60/(-210). 1/2 What is the value of (1/3)/(136/544)? 4/3 What is 2/((-24)/18)*(-40)/(-15)? -4 What is -9*10/105*-7? 6 Evaluate (3*17/357)/((-6)/14). -1/3 (2/8)/((-3)/(-60)) 5 Calculate (-6)/9*2/(20/6). -2/5 What is ((-1*1)/(-1))/(534/3204)? 6 What is the value of 12/18*(35/77)/(-5)? -2/33 (-2)/(-6)*0*(-7)/(-35) 0 (...
{ "pile_set_name": "DM Mathematics" }
1*k - 10. Let d be k/5*2/4. Differentiate d + y + 0 + 4*y**4 - y wrt y. 16*y**3 Let f(g) be the third derivative of g**5/20 + g**4/12 + 94*g**3/3 - 90*g**2 + 1. Find the first derivative of f(t) wrt t. 6*t + 2 Let v(n) = n**5 + n**3 - n + 1. Let x(w) = 116*w - 3. Let r(j) = -3*v(j) - x(j). What is the second derivative...
{ "pile_set_name": "DM Mathematics" }
? 5 Let p = 169 + 185. What is the units digit of p? 4 Let p(t) = -t**3 - 6*t**2 + 7. Let s be p(-4). Let j = -23 - s. What is the tens digit of -1 - 111/(-6)*j? 3 Let l = 1470 - 852. What is the hundreds digit of l? 6 Let x = 20 + 8. Let z = 33 - x. Suppose 4*v = h - 0 - 10, 5*v = z*h - 35. What is the units digit of ...
{ "pile_set_name": "DM Mathematics" }
Let u be 32/15 + l + -5. Let i = -0.7 - -5.7. Sort 3, i, u in ascending order. u, 3, i Let w = 0.4 + -0.41. Let u = 3.01 + w. Let c = -15 + 15.3. Sort u, 1, c in descending order. u, 1, c Let a = -7 + 8.4. Let k = 0.9 + 0.1. Let l = k - a. Sort l, 0, 2. l, 0, 2 Let m be (-1)/((-11)/55 - (-14)/20). Put 2, 0, m, 5 in as...
{ "pile_set_name": "DM Mathematics" }
- 5*n(r). Determine m(g(p)). -57*p**2 + 5 Let u(z) = 25*z + 13. Suppose -a + 23*h - 18*h = 9, 5*a - 21 = 3*h. Let k(x) = 1 + 0*x + 4*x + 1. Let n(b) = a*u(b) - 39*k(b). Let o(p) = p. What is n(o(c))? -6*c Let m(q) = -2*q. Let f(p) = 3462540*p**2. Give f(m(v)). 13850160*v**2 Let y(s) = -152938*s**2. Let z(o) = 22*o**2. ...
{ "pile_set_name": "DM Mathematics" }
u - 1 What is the s'th term of -121, -186, -241, -280, -297? s**3 - s**2 - 69*s - 52 What is the h'th term of 450, 920, 1404, 1908, 2438, 3000, 3600? h**3 + h**2 + 460*h - 12 What is the b'th term of -56, -110, -164, -218, -272, -326? -54*b - 2 What is the n'th term of -459, -463, -469, -477? -n**2 - n - 457 What is th...
{ "pile_set_name": "DM Mathematics" }
What is 2*a(m) - 3*l(m)? 2*m + 4 Let y(r) = r - 1. Let g(w) = -5*w**2 + 12*w - 17. Let v(f) = -3*f**2 + 8*f - 11. Let j(k) = 5*g(k) - 8*v(k). Determine -j(u) - 4*y(u). u**2 + 1 Let g(m) = -m**2 - 2*m + 2. Let y(p) = -3 + 1 - 3 + 4. Suppose n + 2 = 3*n. Give n*g(w) + 3*y(w). -w**2 - 2*w - 1 Let w(b) = b. Let s(t) = -2*t...
{ "pile_set_name": "DM Mathematics" }
245 What is 106766 to the power of 1/10, to the nearest integer? 3 What is 9058 to the power of 1/3, to the nearest integer? 21 What is 56935 to the power of 1/10, to the nearest integer? 3 What is 6722 to the power of 1/2, to the nearest integer? 82 What is 297 to the power of 1/2, to the nearest integer? 17 What is t...
{ "pile_set_name": "DM Mathematics" }
What is the closest to -1 in 5, -4, n? n Let t = 1.0594 - 0.0594. What is the closest to t in 3, -0.2, -0.3, 0.2? 0.2 Let f = -2959.018 + 2955. Let x = f + -0.082. Let h = x - -4. What is the closest to 1 in 0.1, h, 4? 0.1 Let k = 1058 + -1056. What is the closest to 0 in -4, -13, k, 0.4? 0.4 Let g = -69/2 + 1039/30. L...
{ "pile_set_name": "DM Mathematics" }
/5*m**4 + 2/5*m**5 + 2/5*m**2 + 0*m + 0 - 2/5*m**3. 2*m**2*(m - 1)**2*(m + 1)/5 Let x(g) = g**3 - 8*g**2 + g - 6. Let f be x(8). Suppose 6*c = f*c + 16. Factor 9*h + h**2 - 4*h**3 - 3*h**c - 4*h**2 + 6 - 5*h**3. -3*(h - 1)*(h + 1)**2*(h + 2) Let h(p) be the first derivative of -1/10*p**4 + 0*p**2 - 8/25*p**5 + 0*p**3 +...
{ "pile_set_name": "DM Mathematics" }
c. -38 Express (j + j - 5*j)*(-13869*j + 27726*j - j**2 - 13878*j - 5) in the form u*j + a*j**2 + q + b*j**3 and give a. 63 Rearrange (838*a - 172580 + 172580)*(-9*a - 8*a + 2*a)*(2*a**2 - a**2 - 2*a**2) to c*a**4 + w*a + i*a**2 + s + y*a**3 and give w. 0 Express -31*s - 636 - 647 + 1293 in the form n*s + i and give i....
{ "pile_set_name": "DM Mathematics" }
- 2*a**2)*(246 - 188 - 267) + 6*a**2 - 4*a**2 - a**2). 8380*a**4 + 419*a**3 Expand (-2*c - 3 + 3)*(4*c + 2*c - 4*c) + 175*c + 542*c**2 + 12795*c**2 - 175*c. 13333*c**2 Expand (0 - 2*m + 0)*(-2*m**2 + 5*m**2 + 4*m**2 + m**2 - 3*m**2 - m**2 + (1 - 3 + 1)*(-1 - 2*m**2 + 1))*(-25*m**2 + 13*m**2 - 17*m**2). 348*m**5 Expand...
{ "pile_set_name": "DM Mathematics" }
+ 4*q**4 + 4*q**4 - 2*q**4 as w*q**4 + a*q + g + p*q**2 + h*q**3 and give p. -1 Express -25*t**2 + 0*t**3 + 4*t**4 + 3 + 24*t**2 + 2*t**3 as f*t + i*t**4 + x + n*t**2 + s*t**3 and give s. 2 Express -s**3 - 2*s**4 - 9*s**2 - 3*s - 9*s**2 + 17*s**2 in the form b*s + f*s**3 + v + t*s**4 + i*s**2 and give i. -1 Express -1...
{ "pile_set_name": "DM Mathematics" }
85868 Calculate 502852 divided by -17959. -28 Calculate 21 divided by -85896. -7/28632 What is -4 divided by -19850? 2/9925 Calculate 4688 divided by 16. 293 690 divided by 2 345 Calculate 2 divided by -2879. -2/2879 Calculate -25372 divided by -9. 25372/9 What is 145289 divided by -1? -145289 Calculate -9 divided by -...
{ "pile_set_name": "DM Mathematics" }
-4. What is the remainder when (-13)/((r/(-2))/9) is divided by 8*2 + (1 - 3)? 11 Let n = -5 + 16. Let w(x) = x + 7. Let o be w(-3). Suppose o = -9*z + 175. What is the remainder when z is divided by n? 8 Let c(f) = -f**3 - 5*f**2 + 2. Let v be c(-5). Suppose -v*h = 4*i - 26, 2*i + 5*h = 18 - 1. What is the remainder w...
{ "pile_set_name": "DM Mathematics" }
744784815? 32.304784815 -10474702 - 156922957 -167397659 Work out -17.4241531769 + 0.7. -16.7241531769 What is -218023.6821 less than -82185? 135838.6821 Subtract -5539.93755048 from 0.5. 5540.43755048 What is 95684442.3864 take away -1164? 95685606.3864 Calculate 6793132164 - -9957. 6793142121 Put together -1012331541...
{ "pile_set_name": "DM Mathematics" }
of 3271 to the nearest integer? 57 What is the seventh root of 17384 to the nearest integer? 4 What is the seventh root of 549 to the nearest integer? 2 What is 37060 to the power of 1/9, to the nearest integer? 3 What is 1039 to the power of 1/10, to the nearest integer? 2 What is 88120 to the power of 1/2, to the nea...
{ "pile_set_name": "DM Mathematics" }
= 15167/9 + -1675. Suppose 0 = -5*a - 4 + 24. Factor -2/9*n + 4/9 - 68/9*n**a - f*n**3 - 16/3*n**2 - 2*n**5. -2*(n + 1)**4*(9*n - 2)/9 Let t(q) = 2*q**2 + 7*q. Let f(w) be the third derivative of -w**5/60 - w**4/8 - w**2. Let k(z) = -9*f(z) - 4*t(z). Factor k(a). a*(a - 1) Let q(d) = -d**2 - d. Let g = 2 + 1. Suppose -...
{ "pile_set_name": "DM Mathematics" }
*u + r + s*u**2 and give s. -2 Rearrange -17635*q + 17594*q - 1 - 3*q**3 - 2 to j*q**2 + c + i*q**3 + n*q and give n. -41 Rearrange 669*j - 682*j**2 + 228*j**2 + 223*j**2 + 228*j**2 to r*j**2 + v*j + d and give r. -3 Rearrange (38*p**3 - 9*p**2 - 41*p**3 - p**2)*(56*p - 104*p + 484 + 47*p) to the form u*p + k + q*p**3 ...
{ "pile_set_name": "DM Mathematics" }
cond derivative of c(o) wrt o? 580*o**3 - 12*o Let b(h) be the first derivative of h**6/3 + 2*h**5/5 - 1397*h**4/4 + 2*h**3/3 + h**2 + 94*h + 3705. Find the third derivative of b(s) wrt s. 120*s**2 + 48*s - 8382 Let x(k) be the third derivative of -1/20*k**6 + 1/20*k**5 + 1/3*k**3 + 0 + 91*k**2 + 0*k**4 + 0*k - 1/35*k*...
{ "pile_set_name": "DM Mathematics" }
te 1 + 0 - (-5 + (2 - -3)). 1 Calculate (3 - (0 + 1)) + -6. -4 Evaluate 4 - -5 - (-4 + 11). 2 -4 + -10 + 8 - -8 2 Calculate 11 - (16 + -11) - (-1 + 3). 4 Calculate (4 + -6 - -3 - -3) + 1. 5 What is 4 - (-3 - (-18 - -8))? -3 0 + (13 - 8) + 1 6 What is the value of 3 + -13 + 3 - -9? 2 What is the value of (1 - -5 - 6 - 5...
{ "pile_set_name": "DM Mathematics" }
t is the smallest common multiple of 14 and 20? 140 Calculate the smallest common multiple of 338 and 572. 7436 What is the smallest common multiple of 56 and 8? 56 Calculate the common denominator of 1/294 and -25/21. 294 Calculate the least common multiple of 300 and 45. 900 Calculate the common denominator of -32/55...
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 331 What is the seventh root of 34313 to the nearest integer? 4 What is 21981 to the power of 1/2, to the nearest integer? 148 What is 12058 to the power of 1/3, to the nearest integer? 23 What is the square root of 15694 to the nearest integer? 125 What is the third root of 50294 to the neares...
{ "pile_set_name": "DM Mathematics" }
nd 270? 35370 What is the least common multiple of 756 and 27342? 164052 What is the smallest common multiple of 150 and 6412? 480900 Calculate the common denominator of 36/16933 and -33/14. 33866 What is the least common multiple of 1008 and 13272? 79632 What is the least common multiple of 11045 and 235? 11045 Calcul...
{ "pile_set_name": "DM Mathematics" }
4 - 44*j**3 - 4864*j**2 - 14224*j - 9408 = 0. -28, -2, -1, 42 Determine j so that -j**4 + 254*j**3 + 1552*j**2 + 2080*j = 0. -4, -2, 0, 260 Factor 4*f**4/9 - 8036*f**3/9 + 1798256*f**2/3 - 1219083968*f/9 + 5961552640/9. 4*(f - 668)**3*(f - 5)/9 Determine z so that 2*z**3/11 - 74*z**2 - 84688*z/11 + 44935200/11 = 0. -22...
{ "pile_set_name": "DM Mathematics" }
h(i) = -2*i - 1. Let q(x) = -5*h(x) + 6*w(x). Let y(u) = -5*u + 1. Give -6*q(f) - 5*y(f). f + 1 Let d(y) = -19*y**3 + 6*y**2 - 5*y + 5. Let g(i) = -10*i**3 + 3*i**2 - 3*i + 3. Calculate 3*d(m) - 5*g(m). -7*m**3 + 3*m**2 Let y(o) be the third derivative of -o**4/12 - o**3/2 + o**2. Let s be 16/12 + 1/(-3). Let d(q) = -q...
{ "pile_set_name": "DM Mathematics" }
= 4*t - 14. Which is the closest to -1? (a) 5 (b) -0.2 (c) t b Let a = -233.94 - -230. Let n = a - 0.06. Let h be (-11)/9 + 6/27. What is the nearest to -2 in n, 2, h? h Let l = -37694 - -263141/7. Let z = l + 102. Which is the nearest to 1? (a) -4 (b) 0.3 (c) z b Let j be (20/(-8))/((-2)/20). Suppose -3*n - w =...
{ "pile_set_name": "DM Mathematics" }
ions digit of 397483728? 7 What is the tens digit of 155652784? 8 What is the hundreds digit of 592792607? 6 What is the thousands digit of 1744967755? 7 What is the hundreds digit of 1438597339? 3 What is the thousands digit of 88915985? 5 What is the tens digit of 15543002? 0 What is the hundreds digit of 326799616? ...
{ "pile_set_name": "DM Mathematics" }
at is -25c - -3? -259 In base 4, what is -12 + 230? 212 In base 5, what is -343 + 44? -244 In base 9, what is 4 + -218? -214 In base 7, what is 4 - -10600? 10604 In base 6, what is -13 + -3? -20 In base 4, what is 220 + 1? 221 In base 6, what is 41455 - 4? 41451 In base 6, what is -115 - 104? -223 In base 13, what is -...
{ "pile_set_name": "DM Mathematics" }
3*k + t = -2*j. What is the highest common factor of k and 19? 19 Suppose -5*p - 4250 = -5*s, -62*p = -67*p. What is the highest common factor of s and 34? 34 Suppose -2*d - 310 = -5*h, 0 = h - d - 33 - 32. Let f be 44/(-33)*(-18)/1. What is the highest common divisor of f and h? 12 Let k(l) = 2*l**3 + 19*l**2 + 6*l - ...
{ "pile_set_name": "DM Mathematics" }
nd j. 9 Suppose -q = 2, 5*q - 34 = -4*z + 128. Calculate the greatest common factor of 172 and z. 43 Let a be ((-48)/28)/((-3)/42). What is the greatest common divisor of a and 96? 24 Let k = -35 - -59. What is the greatest common factor of 60 and k? 12 Suppose -8*q + 1584 = -4*q. What is the greatest common factor of ...
{ "pile_set_name": "DM Mathematics" }
z be 10 + (3 + -3)/s. Suppose 4 - z = l - y, -20 = -5*y. Determine b(l). -7 Let a be ((-8)/(-8))/(2/(-8)). Let z(y) = -2*y - 3. Let u be z(a). Suppose -u + 0 = -n. Let f(m) = m**2 - 5*m + 6. Calculate f(n). 6 Let v(s) = s + 1. Let g(p) = -11*p + 14*p - 4*p - 10. Let k(o) = g(o) + 4*v(o). Give k(6). 12 Suppose 0 = -2*t...
{ "pile_set_name": "DM Mathematics" }
t + 2*t + t). -240*t Expand (5*b**3 + 3*b**3 - b**3)*(-3 - 7 - 13). -161*b**3 Expand -5*y + y + 3*y + 31*y + 174 - 174 + 4 - 4 - y - 4*y + 0*y + 2*y + (2 - 2 + 2)*(y - 5*y + 2*y) - 1 - y + 1. 22*y Expand (23*d**3 + 18*d**2 - 18*d**2)*(0*d**2 + 11*d**2 + 2*d**2). 299*d**5 Expand (-2*m**3 + 0 + 0)*(-4 + 4 + 2*m) - 16*m**...
{ "pile_set_name": "DM Mathematics" }
prob of sequence yo when two letters picked without replacement from oyyoxxoxxboxxvxyy. 1/17 What is prob of sequence jjla when four letters picked without replacement from jlaljall? 1/105 Calculate prob of sequence yhcc when four letters picked without replacement from {y: 11, p: 2, h: 5, c: 2}. 11/11628 Two letters ...
{ "pile_set_name": "DM Mathematics" }
+ y. Solve -u*a = -a + 10 for a. -2 Let h = -684 + 705. Solve 2 = h*c - 22*c for c. -2 Let a be 13 - 14 - (5*-1 - -2). Suppose p + 15 = 4*w, p + 19 = 7*w - a*w. Solve 0*v - p = v for v. -1 Suppose -3*g = 4*z - 6*g - 17, 2*z - 3*g = 13. Suppose -p - 24 = 2*n, -4 = p - 2*p + 5*n. Let o = 16 + p. Solve o + z = -r for r. -...
{ "pile_set_name": "DM Mathematics" }
- -2 - 8 - (28 - 29))? -10 Calculate (-15 - -12 - 1) + 4. 0 -13 + (9 - (-3 + 13) - -10) -4 What is (-19 - -2 - -25) + 1 + -13 + 32? 28 What is 1 + 7 + 1 + 75 + -80 - -6? 10 What is 5 + 2 + -16 + 0 + 33? 24 What is (18 - -21) + (8 - 40)? 7 Evaluate (4 - 20) + 3 + (12 - 23) + 6. -18 Calculate -6 + 7 + -3 + -3 + 5. 0 Calc...
{ "pile_set_name": "DM Mathematics" }
1, z: 1}? 5/132 Three letters picked without replacement from {a: 1, i: 3, c: 3, q: 6, z: 2}. What is prob of sequence iai? 1/455 Two letters picked without replacement from dsk. What is prob of sequence sk? 1/6 Three letters picked without replacement from qsgqssgggps. Give prob of sequence pgq. 4/495 Two letters pick...
{ "pile_set_name": "DM Mathematics" }
+ (4*t**2 - 3*t**2 + 0*t**2)*(3*t**2 + 2*t**2 - 6*t**2). 9*t**4 Expand y**2 - y**3 - y**2 + 0*y**3 + 2*y**3 - y**3 - 2*y**2 + 2*y**2 - 5*y**3 + (-y**2 - 3 + 3)*(3*y - y + 0*y). -7*y**3 Expand (4*h - h - h)*(5*h**2 - 3*h**2 - h**2) + (7*h + 5*h**2 - 7*h)*(2*h + 2*h - 2*h). 12*h**3 Expand (-7*l + 2*l - 7 + 6)*(3 + 2 - 3)...
{ "pile_set_name": "DM Mathematics" }
Suppose l*y = y + 111. Is y a composite number? False Let n(q) = 2*q**3 - 2*q**2 - q + 2. Let g be n(2). Let k = -8 + 3. Let v = g + k. Is v a composite number? False Let s(o) = 553*o + 1. Let r be s(-1). Is 1/(3/r*-4) a prime number? False Is -1*(-321 - (-3 + -1)) a composite number? False Suppose 6*s - o = 2*s + 14,...
{ "pile_set_name": "DM Mathematics" }
of 2008. 2, 251 What are the prime factors of 47298? 2, 3, 7883 What are the prime factors of 5913? 3, 73 List the prime factors of 7531. 17, 443 List the prime factors of 629. 17, 37 List the prime factors of 7929. 3, 881 What are the prime factors of 1503? 3, 167 What are the prime factors of 403? 13, 31 List the pri...
{ "pile_set_name": "DM Mathematics" }
2 + u*y + s and give p. 1 Express (-y - 8*y + y)*(-6*y + 22*y + 35*y) in the form m*y + q*y**2 + g and give q. -408 Rearrange 4 + 0*f**4 - f**4 - 2 + 3*f**4 + 4*f**4 - f**4 + (-13 + 10 - 10)*(-2*f**4 + 0*f**3 + 0*f**3) to g*f**4 + q*f**2 + b + o*f + c*f**3 and give g. 31 Rearrange (1 - 1 + 3*i + (2 - 6 + 2)*(18*i + 40*...
{ "pile_set_name": "DM Mathematics" }
10/(-16)*(-1)/5. What is the smallest value in f, p, 2? p Let x = -322 + 4828/15. Let o = 0.02 - -0.28. What is the second biggest value in o, 1/8, x? 1/8 Let r = 696 - 1448. Let m be ((-12)/r)/((-18)/(-16)). Let f = 88/423 + m. What is the biggest value in f, 2, 4? 4 Let r(k) = -k + 6*k - 7*k - k + 9. Let z be r(5). ...
{ "pile_set_name": "DM Mathematics" }
s of 6207? 3, 2069 List the prime factors of 1703. 13, 131 List the prime factors of 498. 2, 3, 83 What are the prime factors of 6846? 2, 3, 7, 163 List the prime factors of 1136. 2, 71 What are the prime factors of 21561? 3, 7187 List the prime factors of 53760. 2, 3, 5, 7 What are the prime factors of 91? 7, 13 List ...
{ "pile_set_name": "DM Mathematics" }
2 Let i(x) = 2*x**2 - 944. Let c(p) = 71*p + 6. Let h(f) = 59*f + 5. Let u(t) = -5*c(t) + 6*h(t). Determine u(i(r)). -2*r**2 + 944 Let f(c) = 16*c + 91 - 110*c - 91. Let w(a) = -2*a**2. What is w(f(x))? -17672*x**2 Let s(l) = 1912*l + 2. Let h(g) = 50*g. Calculate h(s(k)). 95600*k + 100 Let j(b) = 1136*b**2. Let p(m) =...
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when k is divided by 2. 1 Suppose 11*i - 39 = 27. What is the remainder when i is divided by 3? 0 Let k(d) = d**2 - 3. Suppose 0*t + 2*t = 0. Suppose 3*x - 1 - 8 = t. Calculate the remainder when 10 is divided by k(x). 4 Let n = 26 + -13. Calculate the remainder when n is divided by 7. 6 Let w(...
{ "pile_set_name": "DM Mathematics" }
16))))) + 4)**2 + 2. 3264*sqrt(19) + 351571 Simplify 5*(3*(-1 + sqrt(5)) - (4 + sqrt(245)) - (0 + (0 + sqrt(320))**2*4)). -6435 - 20*sqrt(5) Simplify (1*sqrt(450)*-3 - (sqrt(450) + sqrt(450) + 2*sqrt(450)*1 + sqrt(450)))/((sqrt(2940)*-2)/(sqrt(6) + sqrt(60)/(sqrt(20)/sqrt(2)))). 24*sqrt(5)/7 Simplify -4 + ((sqrt(55) + ...
{ "pile_set_name": "DM Mathematics" }