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1047494000 rounded to the nearest one million? 1047000000 Round -205.47082 to 0 dps. -205 What is 3233.49 rounded to the nearest one thousand? 3000 What is 0.0073677 rounded to 3 decimal places? 0.007 What is -0.0001602254 rounded to five decimal places? -0.00016 Round -0.0000831417 to 7 decimal places. -0.0000831 Wha...
{ "pile_set_name": "DM Mathematics" }
- 0. Solve 3*u - 2*i = -3, -3*i - 2 = -j*u + 2*u for u. -1 Let u(t) = -t**2 + 2*t - 1. Let g be u(1). Solve -3*d = -4*w - g*d + 23, -4*d = -3*w + 26 for w. 2 Let x = -6 + 10. Suppose -33 - 19 = -x*m. Let a = 0 - -3. Solve j - 3*c - m = -0*c, -a*j + 4*c = -24 for j. 4 Let k = -49 - -54. Let l = 39 - 20. Solve -2*w - l =...
{ "pile_set_name": "DM Mathematics" }
5, 1183725, 1183747, 1183771? r**2 + 11*r + 1183645 What is the u'th term of 22733, 44913, 67097, 89285, 111477? 2*u**2 + 22174*u + 557 What is the z'th term of -258, -1265, -3018, -5511, -8738? z**3 - 379*z**2 + 123*z - 3 What is the c'th term of -2075409, -4150808, -6226207? -2075399*c - 10 What is the y'th term of 9...
{ "pile_set_name": "DM Mathematics" }
2 Let a = -49 + 28. Let m = 25 + a. Suppose -62 = -4*n + n - 4*f, 0 = -m*f + 8. What are the prime factors of n? 2, 3 Let n be -3 + 69/12 - (-4)/16. Suppose -124 = -3*f - n*q + 38, -f + 4*q = -39. What are the prime factors of f? 3, 17 Let s be (-162)/15 - 3/15. Let v(d) = 3*d**2 + 11*d + 1. What are the prime factors...
{ "pile_set_name": "DM Mathematics" }
est ten. 120 What is -1055.85 rounded to zero dps? -1056 Round -0.0000197384 to 7 dps. -0.0000197 Round 1393.3598 to the nearest 10. 1390 Round -0.001346119 to 6 decimal places. -0.001346 What is -14.9764 rounded to one dp? -15 Round -4577.7957 to the nearest 1000. -5000 Round -0.2766008 to four decimal places. -0.2766...
{ "pile_set_name": "DM Mathematics" }
for c. 2 Suppose -2*w = 2*w - 16. Suppose w*a - 10 = 26. Let u be 3/a*3 - -14. Solve -3*z - u = 0, -9 = -5*x + 2*z - 24 for x. -5 Let m be ((-2)/3)/(4/(-18)). Solve 2*h + 8 = -2*c - 8, h + 18 = -m*c for h. -3 Let q = 3 + -30. Let v be (-2)/(-9) - 156/q. Solve 5*m - r + v*r - 5 = 0, -2*m - r + 3 = 0 for m. 2 Let h be -...
{ "pile_set_name": "DM Mathematics" }
*w + 4*w)*(0*w + 0*w + w) + 5*w + 6*w**2 - 5*w. 8*w**2 Expand (4 + 2 + 3)*(3*f - 4*f + 0*f). -9*f Expand (-232*y - 2 + 0 + 233*y)*(-3 + 0 + 0). -3*y + 6 Expand (-2*y - y + y)*(y + y + 0*y) + (3*y + 2*y - 4*y)*(3*y - y - y) + y**2 - y**2 - 6*y**2. -9*y**2 Expand 0*q**2 + 0*q**2 + 5*q**3 + (0 + 3 - 1)*(-2*q**2 + 2*q**2 +...
{ "pile_set_name": "DM Mathematics" }
2 + 28*b)*(-4*b + 6*b - b)*(2*b**2 + b**2 - b**2). 8*b**5 Expand (-2*z**2 - 2*z + 2*z)*((2 - 5 + 4)*(2*z**3 - 6*z**3 + 3*z**3) - z**2 - 5*z**3 + z**2). 12*z**5 Expand (12*l - 3*l + 3*l)*(l + l - l)*(2*l - 5*l + 2*l)*(-l - 2*l + l). 24*l**4 Expand (-28*w + 26*w - 4*w**2 + 5*w**2 + 3)*(-2*w**2 - 4*w**2 + 4*w**2). -2*w**4...
{ "pile_set_name": "DM Mathematics" }
a) -0.1 (b) -2/9 (c) 0.1 (d) z b Let z = -0.065 + 0.345. Let d = -0.18 + z. What is the second biggest value in -19, -3, d? -3 Let k = -3.7 + 4. Let i(q) = q**2 - 2*q - 1. Let h be 2*(-4 - -1)/(-3). Let a be i(h). What is the biggest value in a, 1/4, k? k Let k be (-1)/(-2)*(-18)/21. Let d = 5 + -11. Let i be (-28)/...
{ "pile_set_name": "DM Mathematics" }
he remainder when 149 is divided by 119? 30 Calculate the remainder when 320 is divided by 23. 21 Calculate the remainder when 156 is divided by 85. 71 Calculate the remainder when 359 is divided by 91. 86 What is the remainder when 116 is divided by 1? 0 Calculate the remainder when 145 is divided by 20. 5 What is the...
{ "pile_set_name": "DM Mathematics" }
000168. What is n rounded to six dps? 0.000017 Let g = -34 - -43. Let j be 8/12 + 0 - (-22494)/g. Suppose -7*x = -9*x - j. Round x to the nearest one hundred. -1300 Let u = -0.843711267 + 0.8437. What is u rounded to 6 dps? -0.000011 Let g = -367.97 - -368.045137. What is g rounded to 4 decimal places? 0.0751 Let l = 2...
{ "pile_set_name": "DM Mathematics" }
- 1) - (-23 + (27 - 10)) 12 Evaluate (-2 + -4 - (160 - 143)) + -25. -48 -13 + (3 - -2) + 79 - 22 49 6 - (91 + 16 + -36) -65 Calculate (2 - -4) + (-38 - (5 - -6)) + -26. -69 -28 + (0 + 38 - 27) -17 What is -27 - (16 - (-28 + 120 + 6))? 55 What is -28788 - -28798 - (-1 + 0 - -25)? -14 Evaluate 103 + (14 - (6 + 25)) + 4 +...
{ "pile_set_name": "DM Mathematics" }
1}. Give prob of sequence eetf. 0 What is prob of sequence romo when four letters picked without replacement from omaoorrotomr? 1/99 Two letters picked without replacement from {m: 5, k: 3, x: 2}. What is prob of sequence xx? 1/45 What is prob of sequence ii when two letters picked without replacement from {e: 6, u: 1,...
{ "pile_set_name": "DM Mathematics" }
*g + a*v + 14 for g. 1 Let d(i) = 11*i**3 - 2*i - 1. Let q be d(-1). Let y = -6 - q. Suppose -3*m = h - 8, 6 = y*m - m. Solve -5*r - 35 = 5*t, -6*t + 2*t - 20 = h*r for t. -3 Let o = 15 - 15. Suppose o = -4*f + 24 - 4. Let x be (-1)/(-3) + (-2)/6. Solve -k - 2*k + 4*b + 3 = 0, x = -4*k - f*b + 4 for k. 1 Suppose 5*c = ...
{ "pile_set_name": "DM Mathematics" }
- 2)*(2 + 24 - 2*l**2 - 8) as q*l**2 + x*l + w and give x. 0 Express -q - 3*q**4 + 5*q**4 - 2 - 3*q**4 + 10*q in the form a*q**2 + r*q**4 + z*q**3 + k*q + m and give m. -2 Express 6*o**3 + 5*o**3 + 45*o - 2 - 45*o in the form r*o**2 + c + g*o + u*o**3 and give c. -2 Express (-3*t + 0*t + 5*t)*(4 + 0 - 1) + (4 - 5 - 4)...
{ "pile_set_name": "DM Mathematics" }
- 0) + -17)? 19 (3 + 12 - 4) + -7 4 Evaluate 0 + 4 + 226 + -242. -12 What is the value of -36 - (4 + -23) - -15? -2 Evaluate -13 + -1 - (0 + (6 - 0)). -20 Calculate -24 + 37 + -9 - -32. 36 Evaluate 19 - (9 + -2 - -1) - (2 + 3). 6 What is the value of 11 + 0 + (175 - 199)? -13 What is 2 + (28 - 15) + -16? -1 What is (-9...
{ "pile_set_name": "DM Mathematics" }
he remainder when 51 is divided by b. 18 Suppose -3*h - y + 47 = 0, 8*y - 7*y = 5*h - 73. What is the remainder when 33 is divided by h? 3 Suppose 8*m - 42 = 3*m + 4*c, -2*m + 24 = -4*c. Let u = -80 - -83. Suppose 9*s - u*s - 84 = 0. Calculate the remainder when s is divided by m. 2 Let a be ((-2)/(-2))/((-55)/(-10) + ...
{ "pile_set_name": "DM Mathematics" }
next in 147, 447, 925, 1563, 2343, 3247, 4257, 5355? 6523 What comes next: 4418, 8911, 13494, 18173, 22954, 27843, 32846? 37969 What is the next term in 2345, 2335, 2335, 2351, 2389, 2455, 2555? 2695 What is next in -126, -255, -372, -471, -546, -591, -600? -567 What comes next: -511, -2132, -4833, -8614? -13475 What ...
{ "pile_set_name": "DM Mathematics" }
digit of n? 7 Suppose 5*u - 15 = 0, -8*x + 5*u = -3*x. Let v(r) = -r**3 + 8*r**2 + 2. Let k be v(8). Suppose -6 + k = 2*f, f + 23 = x*w. What is the units digit of w? 7 Let l(h) = -2*h**3 - h**2 + h. Let b be l(2). What is the units digit of (-660)/(-54) + 4/b? 2 Let r = 174 - 99. Let u = -43 + r. What is the units di...
{ "pile_set_name": "DM Mathematics" }
Is 2241 a factor of 290153475? True Is 14005505 a multiple of 29? False Is 39 a factor of 153232872? True Is 39536673 a multiple of 13? False Does 153 divide 331597053? True Does 403 divide 36283053? False Is 14 a factor of 3135118? True Is 1038494 a multiple of 15? False Is 225 a factor of 202835700? True Is 11 a fac...
{ "pile_set_name": "DM Mathematics" }
-6*x = -g*x - 116. Let m = -13 + x. What is the tens digit of m? 1 Let o = -13 - -18. Suppose -3*s = -z - 14, z = -2*s - 0*z + 16. What is the units digit of (6/o)/(s/20)? 4 Suppose -5*z = -2*s - 4*z + 7, 0 = -5*z + 5. Suppose 4*a = 3*d - 17 - 2, s = -4*d - 2*a. What is the units digit of (-3 - -2) + d - -1? 1 Suppose ...
{ "pile_set_name": "DM Mathematics" }
et g = 4972 - 4913.06. Let d = -59 + g. Let q = -204 - -203.5. Which is bigger: q or d? d Suppose -27*b = -18*b. Suppose b = 3*s - 2*s - 3*s. Let z be (4/(-448))/((-1)/2). Which is bigger: z or s? z Let b = -9.374 + 0.074. Let s = 0.3 + b. Let o = 19 - s. Which is smaller: 0.1 or o? 0.1 Let k(v) = -v**3 + 8*v**2 - 10*v...
{ "pile_set_name": "DM Mathematics" }
is the common denominator of i and (-1 + 14/20)*-1? 90 Suppose 4*i - 4*s = 3*i + 18, 4*i + 12 = -5*s. Let y(d) = d**3 - 8*d**2 + 0*d + 1 + 2*d**i + d. What is the lowest common multiple of y(6) and 3? 21 Find the common denominator of -27/166 and 95/(-7)*(-28)/(-32). 664 Let d(p) = p**3 - 6*p**2 + 5*p + 1. Suppose -9*...
{ "pile_set_name": "DM Mathematics" }
b) 23 (c) -0.063 a Which is the third biggest value? (a) -2.83 (b) -3 (c) -0.18 b Which is the biggest value? (a) 62 (b) -4 (c) -0.1 (d) 0.1 (e) 5 a What is the second biggest value in 3, 0.2, 102.4504? 3 Which is the third biggest value? (a) 7 (b) 0.06 (c) -2 (d) 52 (e) 3/5 e Which is the second biggest ...
{ "pile_set_name": "DM Mathematics" }
denominator of t and 45. 2 Let f(n) = -n**2 + 7*n + 4. Let p be (-4)/(-1)*1 - -3. What is the smallest common multiple of 6 and f(p)? 12 Calculate the smallest common multiple of 0 + -3 + -6 + 21 and 9. 36 Suppose -5*b - 29 = -149. Calculate the smallest common multiple of b + 0 + -2 - 0 and 14. 154 Let j(h) = 4*h**3 -...
{ "pile_set_name": "DM Mathematics" }
2, 27, 62 Factor 5*c**2 + 4265*c + 166460. 5*(c + 41)*(c + 812) Solve 2*l**2 - 19318*l - 115980 = 0. -6, 9665 Solve 2*g**5/3 - 3536*g**4/3 + 1562906*g**3/3 + 10604*g**2/3 - 4681664*g/3 - 3125824/3 = 0 for g. -1, 2, 884 Factor 360*x**3 - 4715*x**2 - 4585*x + 490. 5*(x - 14)*(x + 1)*(72*x - 7) Suppose -2*g**4 + 5740*g**3...
{ "pile_set_name": "DM Mathematics" }
= -13*m + 12*m - 6 for m. -6 Let h(m) be the third derivative of m**5/60 - m**4/6 + m**3/3 + 2*m**2 + 78*m. Suppose -2*s + 4 = -s. Let l be h(s). Solve 2*p = p - l for p. -2 Suppose -5*p - 192 = -2*w, 5*w + 5*p - 263 = 2*w. Suppose -44*q = -31*q - w. Let z be ((-4)/(-6))/(1/3). Solve -z*i - 3 = q for i. -5 Suppose -2*...
{ "pile_set_name": "DM Mathematics" }
e 3 = l + 2*l. Let f(c) = 2 - 2*c + l - c**2 + 2*c**2. Let y be f(2). Let n(m) = -m - 4. Calculate n(y). -7 Let v be (8/(-20))/((-2)/10). Let o(w) = -4*w + 0 - 4 + 1 + v*w. Give o(-4). 5 Let g(h) = 7 - 6*h**2 - 7*h - h**3 + 11*h**2 + 2*h**2. Calculate g(6). 1 Suppose -2*k - 3*x = 5, -24*x + 6 = -k - 29*x. Let q(m) = -1...
{ "pile_set_name": "DM Mathematics" }
d to three dps? -13.374 What is 0.0210158639 rounded to six dps? 0.021016 What is -1929403135 rounded to the nearest 100000? -1929400000 What is 0.0002028501491 rounded to six dps? 0.000203 What is -4926.14744 rounded to the nearest integer? -4926 Round -580.9078853 to the nearest integer. -581 Round 0.014215179924 to ...
{ "pile_set_name": "DM Mathematics" }
o(p). -2*p**2 + 3 Let a(l) = -13*l - 4. Let t(n) = 10*n + 3. Let q(b) = -3*a(b) - 4*t(b). Let o(h) = 6*h - 2. Determine -o(r) - 5*q(r). -r + 2 Let k(p) be the second derivative of -p**3 + 3*p**2/2 - 2*p + 59. Let m(j) = 3*j - 1. Determine 3*k(u) + 7*m(u). 3*u + 2 Let h(t) = t - 3. Suppose -9*i = 6*i + 150. Let x(s) be ...
{ "pile_set_name": "DM Mathematics" }
z? 13/95 What is prob of picking 4 t when four letters picked without replacement from {l: 3, o: 2, t: 4, x: 1}? 1/210 What is prob of picking 1 t and 1 w when two letters picked without replacement from {x: 5, i: 1, w: 10, t: 4}? 4/19 What is prob of picking 2 q when two letters picked without replacement from hcccchh...
{ "pile_set_name": "DM Mathematics" }
lve 2*j + h*j - 16 = 0 for j. 4 Let w be 1*(-2)/4*2/(-1). Suppose -2*m + 2 = 0, 5*p - 34 = -2*m + 3*m. Solve -p = 4*r + w for r. -2 Suppose 5*c - 2*x + 20 = 0, -2*c = -c + 2*x + 4. Let u be (2 + 11/c)*-20. Suppose -k - 2*k + u = 0. Solve -15 = 4*n + k for n. -5 Suppose 2*m = o - 6, 4*o + 5 = -2*m + 9. Solve -o*d + 6*d ...
{ "pile_set_name": "DM Mathematics" }
divided by y(1)? 6 Suppose 66 = -2*w + 4*o - 20, -2*w - 4*o - 110 = 0. Let f be (-6678)/w - 2/7. Let i = -78 + f. Calculate the remainder when i is divided by 20. 18 Let v(i) = 3*i - 3. Calculate the remainder when 7 + -3 + 1 - (-3 + -8) is divided by v(3). 4 Suppose -6*n = -2*n - 32. Let i(u) = u - 2. Let o be i(4). ...
{ "pile_set_name": "DM Mathematics" }
. 3*sqrt(5) + 322 Simplify sqrt(156)/sqrt(432)*6 + 0 + sqrt(78)/(sqrt(6)*-3). 2*sqrt(13)/3 Simplify sqrt(20)/(sqrt(10) - (sqrt(90)*-2 + sqrt(90))/sqrt(9)) + (sqrt(14)/(sqrt(7)*-2*-3))**2. 1/18 + sqrt(2)/2 Simplify (sqrt(85) + sqrt(85)*-1*-5 + (sqrt(85) - 1*1*sqrt(85)))/(-3*(-5*sqrt(80) + sqrt(80) - sqrt(80))). sqrt(17)...
{ "pile_set_name": "DM Mathematics" }
))*-3)/(sqrt(12)/(sqrt(3) + sqrt(12) - sqrt(3)) + sqrt(4) - (sqrt(40)/sqrt(5))/sqrt(2)). 240*sqrt(11) Simplify ((-5*3*((sqrt(119) - (sqrt(119) + -1*sqrt(119))) + sqrt(119))*6)/(2*(sqrt(112) - (sqrt(112) + -3*sqrt(112) + sqrt(112)))*2))**2. 34425/64 Simplify ((sqrt(1100) - 1*sqrt(1100))*3)**2 + 1 + 2*-2*sqrt(11) + 1*-1*...
{ "pile_set_name": "DM Mathematics" }
xt: 55871, 111746, 167621, 223496? 279371 What comes next: -40154, -40175, -40210, -40259, -40322, -40399, -40490? -40595 What comes next: 18248, 18247, 18246, 18245, 18244, 18243? 18242 What comes next: -9972, -9791, -9598, -9387, -9152, -8887, -8586? -8243 What is the next term in 43802, 87606, 131410, 175214? 219018...
{ "pile_set_name": "DM Mathematics" }
+ 31*o + 163. Let k be j(-6). Let t = u - k. What is the tens digit of t? 4 Suppose 4*t - 408 = -2*t. Suppose 5*j - t = -383. Let u = j - -95. What is the units digit of u? 2 Let k(s) = -s**3 + 21*s**2 - 21*s + 9. Let p = 100 + -81. What is the tens digit of k(p)? 3 Suppose 16 = -2*y - 56. Let o = y + 176. Suppose 3*q...
{ "pile_set_name": "DM Mathematics" }
**(1/21)) assuming j is positive. j**(689/210) Simplify v*(v*((v**(-6)*v*v)/v)/v)/v*v**(-4)*(v*v/v**5)**(-1/14) assuming v is positive. v**(-123/14) Simplify ((t/t**13)/t**15)/((t/(t**14*t)*t)/t**8) assuming t is positive. t**(-6) Simplify ((j*j*j**(-1/4))/j)**(-3/7)/(((j/(j*j*j*j/(j*(j**(-2)/j)/j*j)*j))/j)/j*j)**(-18)...
{ "pile_set_name": "DM Mathematics" }
s a(7) a composite number? True Let d be (-2)/(-5) + 148/(-20). Suppose 2*s - 2*p + 46 = p, 0 = 4*s + p + 92. Is 4/(-14) + s/d composite? False Let s be (-1*1)/((-4)/12). Suppose 0*d - 3 = -d, s*i + 3*d - 9 = 0. Suppose 5*j - 601 = -3*n + n, i = -4*n + 12. Is j a composite number? True Is (-1)/(((-2)/(-2))/(-841)) a co...
{ "pile_set_name": "DM Mathematics" }
) be the second derivative of w**5/2 - 5*w**4/12 - 5*w**3/6 - 50*w. Calculate -3*o(q) + 5*p(q). -5*q**3 Let s(y) = -3*y - 4. Let t(f) be the third derivative of -7*f**4/24 - 7*f**3/6 - 3*f**2. Let w(l) = -l - 1. Let v(o) = -t(o) + 6*w(o). Determine -s(c) - 2*v(c). c + 2 Let i(y) = -7*y + 3. Suppose 3*r = -4*m + 29, 5 =...
{ "pile_set_name": "DM Mathematics" }
0. Let y = z + 131/3. What is the nearest to 1 in 1/6, -2, y? 1/6 Let o be 16/8*(-2)/(-20). Let j = -8 - -7. Which is the nearest to j? (a) o (b) 2/3 (c) -5 a Let d = 32.5 - 32. What is the closest to 0.1 in -0.4, d, -1? d Let u = 36.6 + -33. Let w = u - 0.6. Let y = -1 + 0. Which is the closest to y? (a) 2/9 (b) ...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {r: 1, t: 4, z: 1, b: 3, v: 7, p: 4}. Give prob of sequence ptr. 2/855 Three letters picked without replacement from kekemmikleimmmke. Give prob of sequence mee. 1/56 Three letters picked without replacement from oopjwjoesspo. Give prob of sequence oep. 1/165 Calculate prob of s...
{ "pile_set_name": "DM Mathematics" }
is the third derivative of y(s) wrt s? -192*s Differentiate 10 + 6*x**3 - 22 - 10 + x**3 wrt x. 21*x**2 Let p(y) = -y**3 - 9*y**2 + 11*y + 12. Let x be p(-10). Let j = 5 - x. What is the third derivative of -s**2 + s**2 + s**2 - j*s**4 wrt s? -72*s Let w(j) = -j**2 + 12*j + 12. Let p(x) = -x - 1. Let r(l) = -22*p(l) - ...
{ "pile_set_name": "DM Mathematics" }
10 = 0, 3*j + 3*r = j + 340. What are the prime factors of j? 167 Let l = -34 - -34. Suppose i - 283 = -3*w, w + i - 95 = -l*i. What are the prime factors of w? 2, 47 Let k(w) = 13*w**3 + 2*w**2 + 6*w + 4. List the prime factors of k(3). 17, 23 Let v be (48/(-9) - 2/(-6)) + 1. What are the prime factors of 4802/35 + v/...
{ "pile_set_name": "DM Mathematics" }
75 Put together 2736411410.097 and 24. 2736411434.097 What is the distance between 2 and 0.7874628987772? 1.2125371012228 What is the distance between -4 and -3.62392402102? 0.37607597898 What is -217387.6 - -924965.6? 707578 Work out -94.43722379977 - 9. -103.43722379977 Work out 42 + -17467586836319. -17467586836277 ...
{ "pile_set_name": "DM Mathematics" }
Solve 8*k - 6*k - 6 = w for k. 3 Suppose 0 = d - 6*a + 2*a - 13, -55 = -3*d + 4*a. Solve -d*n - 40 = -13*n for n. -5 Suppose -3*y + 52*y - 784 = 0. Solve 12 = 10*g - y*g for g. -2 Let k be (-3 - 3)/3 + (0 - 3). Let x(w) = 6*w + 35. Let j be x(k). Solve -5*v + j = -15 for v. 4 Let s = -5 + 13. Let m(q) = -2*q**3 + q**2...
{ "pile_set_name": "DM Mathematics" }
t - 5*j + 8 = -j. Let d(z) = -13*z + 1. Let h be d(t). What are the prime factors of (6/7)/(2/h)? 2, 3 Let g be (-4)/(-5)*(-45)/2. What are the prime factors of 8/(-36) - 526/g? 29 Let u(o) = -2*o - 5. Let l be u(-4). Let j be l - (-2 + 1)*1. Suppose -18 = b - j*b. List the prime factors of b. 2, 3 Suppose h = -2*n + 1...
{ "pile_set_name": "DM Mathematics" }
, 1 Let w(l) = -15*l - 163. Let r be w(-11). Factor 1/3*x**r - 1 - 2/3*x. (x - 3)*(x + 1)/3 Let t(p) = -4*p - 1. Let s(q) = -q - 6. Let r be s(-5). Let l be t(r). Determine y, given that 6/5*y**2 + 0*y**l + 0 - 2/5*y**4 + 4/5*y = 0. -1, 0, 2 Solve -2/5*j - 3/5*j**2 + 1/5 = 0 for j. -1, 1/3 Factor 0*y + 2/13*y**2 - 2/13...
{ "pile_set_name": "DM Mathematics" }
ose -56*n + 15 = -51*n. Let t(u) be the first derivative of 16*u + 0*u**n - 12 + 0*u**2 - 17/4*u**4. What is the derivative of t(d) wrt d? -51*d**2 Let w(a) = 108*a**2 - 127. Let b be (60/(-24))/((-5)/12). Let y(p) = -110*p**2 + 126. Let n(k) = b*y(k) + 5*w(k). What is the first derivative of n(t) wrt t? -240*t Differe...
{ "pile_set_name": "DM Mathematics" }
r, -4*k + 14 = -r for k. 4 Let w = 3535 - 3500. Solve 4*m + 13 + 27 = -4*j, -2*m - w = 5*j for m. -5 Let p = -365 + 680. Suppose 34*c = 19*c + p. Solve -6*x + 3*x = -5*o - c, -x + 5*o + 17 = 0 for x. 2 Let m(g) = -g**3 - 4*g**2 + 6*g + 4. Let a be m(-6). Suppose 0 = -214*t + 190*t + 96. Solve 0 = -4*z - t*s - a, 3 + 1...
{ "pile_set_name": "DM Mathematics" }
Let q = 15 + -18. Let p(l) = -2*l + 5. Let m be p(q). Let d(j) = 2*j**2 - 12*j - 25. What is the units digit of d(m)? 5 Let x = 26471 - 9228. What is the ten thousands digit of x? 1 Let b(v) be the first derivative of 8*v**3/3 + 39*v**2/2 - 22*v - 223. What is the tens digit of b(-14)? 0 Suppose -3*u = -4*s + 33934, 5...
{ "pile_set_name": "DM Mathematics" }
)*j)/j*j*j)))**(3/7) assuming j is positive. j**(178/7) Simplify (c**(-6/11)*c**6/c)/(c**(1/3)/c**(-2))*((c/c**(-3)*c)/c)/c**2*(c*c*c**6)/(c/((c/c**(1/11))/c)) assuming c is positive. c**(364/33) Simplify (((z*z/(z/(z**(-8)*z*z)))/z*z*(z**(-4)*z)/z*(z**(1/4)/z)**3)**(-2/45))**(2/111) assuming z is positive. z**(1/111) ...
{ "pile_set_name": "DM Mathematics" }
escending order. 298, 31, 7, 2, -2 Put 69, 1, 7, 10 in descending order. 69, 10, 7, 1 Put 2, 5, -151, -90 in descending order. 5, 2, -90, -151 Put 63, -21, -94 in descending order. 63, -21, -94 Put 0.1, -1, 13, -516 in decreasing order. 13, 0.1, -1, -516 Put -67.7, -28, -98 in decreasing order. -28, -67.7, -98 Put -4, ...
{ "pile_set_name": "DM Mathematics" }
to 4 dps? -0.0004 Let p = -777 - -250. Let t = -217 - p. What is t rounded to the nearest 100? 300 Suppose -s + 44 = 5*q, -3*q + 44 = s + 4*s. Let r be q/(-14) + 2446/(-7). What is r rounded to the nearest one hundred? -400 Let o = 0.19 + -0.44. What is o rounded to 1 dp? -0.3 Suppose 0*y = -4*o + 3*y - 33560015, -o =...
{ "pile_set_name": "DM Mathematics" }
Differentiate -1762*p + a*p + 32*p**2 + 25 wrt p. 64*p Let p = 245 + -145. Let o be -3*(p/12)/(-5). Find the third derivative of 10*r + 3*r**2 + 6*r**5 + 4*r**o - 10*r wrt r. 600*r**2 Let z(a) = 10*a**3 - 19*a**2. Let j(t) = 21*t**3 - 39*t**2. Let n be -3*(-3)/9*(-10 + 3). Let d(f) = n*z(f) + 3*j(f). Find the third de...
{ "pile_set_name": "DM Mathematics" }
lve 11*i - 8*i = 12*i for i. 0 Solve 0 = 75*z - 81*z + 6 for z. 1 Solve 2*f = -11 + 21 for f. 5 Solve -5*m + 6 + 19 = 0 for m. 5 Solve 8*m + 120 = -4*m for m. -10 Solve 304 = 44*g - 92 for g. 9 Solve 9*a - 8 = a for a. 1 Solve 0 = 9*x + 26 - 8 for x. -2 Solve -131 = -27*w + 4 for w. 5 Solve 0 = -v - 4 + 8 for v. 4 Solv...
{ "pile_set_name": "DM Mathematics" }
n thousand. 1800000 Let v = -564.2000003636 + 564.2. Round v to seven decimal places. -0.0000004 Let a(g) = -2130*g**3 + 2131*g**3 - 13*g**2 - 13 + 16*g - 15. Let k be a(15). What is k rounded to the nearest one hundred? 700 Suppose -2*i = -3*v, -3*v - i + 15 - 6 = 0. Let p be -5157080 + 6 + v/(8/4). Let z = 57073 + p....
{ "pile_set_name": "DM Mathematics" }
closest to 1/5 in 0.2, -3/4, a? 0.2 Let u be (-22)/12 - (-1)/3. Let r(l) = l + 1. Let x be r(-3). Let d be -1 - x - (-12)/(-16). Which is the nearest to d? (a) u (b) -4/5 (c) -5 b Let a(s) = -s**3 - 16*s**2 + 41*s + 89. Let h be a(-18). What is the nearest to h in -2/13, -6, 1, -0.05? -2/13 Let i(p) = -p - 20. Let ...
{ "pile_set_name": "DM Mathematics" }
+ 3076*n = -6, -n - 5 = 2*w for w. -2 Solve 3*o = x + 15, -4*x + 3*o - 18 = 60 for x. -21 Solve -4 = 4*w, -w - 28 = -5*j + 2*w - 5 for j. 4 Solve -4*w = 4*b - 28, -5*w + 5*b + 405 = 470 for w. -3 Solve -1134*c = 5*a - 1139*c + 20, -2*a - 5*c + 6 = 0 for a. -2 Solve 2*a + 17 = 5*s, -47*a = -46*a + 8*s - 2 for a. -6 Sol...
{ "pile_set_name": "DM Mathematics" }
Let a be 7/(2/4 + (-1 - -4)). Solve 4*y = -a*t - 26, -7*y = -11*y - 16 for t. -5 Let o be 51/13 + -4 - 6732/(-1326). Suppose 0*k + 4 = k, 0 = 2*q - 4*k - 12. Solve m + 4*t + t = -7, -4*t - q = o*m for m. -2 Let v be 8/(-14)*(-441)/126. Solve v*a - 1 = -4*y - 3, 0 = -2*y + 2*a - 4 for y. -1 Suppose 3*s = 5*p + 64, -2*p...
{ "pile_set_name": "DM Mathematics" }
er. -8, -4, 3 Put -4, 2, -2, -3, 5 in decreasing order. 5, 2, -2, -3, -4 Sort 43, 1/3, -2/9, -5. -5, -2/9, 1/3, 43 Sort -46, -1, 4, -19 in decreasing order. 4, -1, -19, -46 Put -4, 5, -10 in ascending order. -10, -4, 5 Sort -988, 4, -4. -988, -4, 4 Put -7, -5/4, -4.2 in ascending order. -7, -4.2, -5/4 Sort 19, -3, 2, 1...
{ "pile_set_name": "DM Mathematics" }
= -2*q. Suppose -3*b + 1 = -4*l, -4*b - 4 = -2*l - q. Is b > 1? False Let y = -7.05 + 7. Let s = -0.05 + y. Which is smaller: s or 13? s Let l = 9 - 20. Let k = -5.84 + -0.16. Let c = l - k. Is -0.1 <= c? False Let x = -34 - -34.2. Which is smaller: x or 0? 0 Let i be 2/(-5) - 188/130. Let r = 231/104 + i. Which is sm...
{ "pile_set_name": "DM Mathematics" }
1, f: 1}. Give prob of picking 2 z, 1 b, and 1 w. 10/99 Four letters picked without replacement from kbmlghmhlmhmkhh. What is prob of picking 2 h and 2 l? 2/273 Calculate prob of picking 3 x and 1 o when four letters picked without replacement from pjjjpxxoxejajjxoj. 2/595 Calculate prob of picking 1 p and 1 b when tw...
{ "pile_set_name": "DM Mathematics" }
s the fifth root of 3399116 to the nearest integer? 20 What is 11823427 to the power of 1/8, to the nearest integer? 8 What is 690175 to the power of 1/2, to the nearest integer? 831 What is the square root of 3786846 to the nearest integer? 1946 What is 2494085 to the power of 1/3, to the nearest integer? 136 What is ...
{ "pile_set_name": "DM Mathematics" }
8*l**2 - 187*l + 69. (l - 23)*(8*l - 3) Find p such that -p**2/2 + 10*p - 18 = 0. 2, 18 Factor 2*a**2/7 - 44*a/7 + 6. 2*(a - 21)*(a - 1)/7 Factor 3*g**4 + 15*g**3 + 24*g**2 + 12*g. 3*g*(g + 1)*(g + 2)**2 Factor -2*c**2/7 - 1492*c/7 + 2992/7. -2*(c - 2)*(c + 748)/7 Suppose -1755*p**5/2 + 5*p**4/2 + 14045*p**3 - 40*p**2...
{ "pile_set_name": "DM Mathematics" }
40. Solve -3*g = 5*i - 0*g - y, 4*g - 4 = -4*i for i. 5 Let q(j) = 21*j - 48. Let d be q(3). Solve -s = 4*z + 7, -3*s + z + d = -3 for s. 5 Suppose -3*z + 35 = 4*x, 11*z + 10 = 3*x + 10*z. Solve -2*i - 19 = t + 2*i, 0 = -2*t - x*i - 26 for t. -3 Suppose 1 = -2*w + 11. Suppose -w = -0*v - v. Suppose 0 = -2*g - 0 + 2. S...
{ "pile_set_name": "DM Mathematics" }
(48*p**2 + 1727 - 1727)*(-1 + 0 + 3*p - 3). 144*p**4 - 192*p**3 Expand ((-2 + 2 + u**3)*(-2*u - 2*u + 6*u) - 24*u**4 + 23*u**4 - 33*u**4)*(-1 + 2 + 1) + 2*u**4 + 0*u**4 - 3*u**4 + (-2 + 2 + u**4)*(-2 + 2 - 2). -67*u**4 Expand (2*s**2 - 4*s + 4*s)*(-4*s + 3*s - s) + 216*s**3 - 21*s**3 + 125*s**3. 316*s**3 Expand -521*x*...
{ "pile_set_name": "DM Mathematics" }
at is prob of sequence pp? 1/5 Calculate prob of sequence hv when two letters picked without replacement from hvfvd. 1/10 Two letters picked without replacement from wkhwwwkwww. What is prob of sequence wh? 7/90 Four letters picked without replacement from {h: 2, n: 1, r: 2, p: 1, t: 1}. What is prob of sequence phnr? ...
{ "pile_set_name": "DM Mathematics" }
s s(-1)? -8 Let w(z) be the second derivative of 0 - 1/12*z**4 + 3*z**2 + 2/3*z**3 - 7*z. Determine w(6). -6 Suppose 3*c + 0*c = 0. Let y(p) = p**2 - 2. Calculate y(c). -2 Let m(n) = -n**3 + 7*n**2 + 3*n + 3. Let t(d) = -2*d**3 + 13*d**2 + 6*d + 5. Let r(k) = -7*m(k) + 4*t(k). Let f be 4/((-3)/(3/(-1))). Give r(f). -5 ...
{ "pile_set_name": "DM Mathematics" }
*w + 2*s + 3. Suppose -k - k - 3*j + 43 = 0, 3*k - w = -2*j. What is the units digit of k? 6 Let f(w) = w**3 + 3*w**2. Let o be f(-3). Suppose o = -0*m - m + 3. What is the units digit of (4 - m) + 30/3? 1 Let d = -27 + 41. Suppose 3*j = -5 + d. What is the tens digit of (-20)/(-30) - (-97)/j? 3 Let v(d) = d**2 + 3*d +...
{ "pile_set_name": "DM Mathematics" }
c - 3*n - 21 = 0, -3*c + s = 4*n - 0*n. What is the least common multiple of c and 16? 144 Let d = -247/176 + -27/16. Let q be (3 - 0) + 1 + 8140. Let g = -49015/6 + q. Find the common denominator of g and d. 66 Suppose 15*m = 22*v + 16*m - 81, 0 = 3*v - 4*m - 40. Suppose -3*d + 244 = -d. Calculate the smallest common...
{ "pile_set_name": "DM Mathematics" }
itre? 200 How many hours are there in 298.13445 microseconds? 0.000000082815125 How many minutes are there in 1/28 of a week? 360 How many millilitres are there in one fifth of a litre? 200 How many decades are there in 8298.743 years? 829.8743 What is 7684.675ug in nanograms? 7684675 What is 13/4 of a millimeter in mi...
{ "pile_set_name": "DM Mathematics" }
) - (-1 + sqrt(1872) + 3)) + sqrt(1872) + sqrt(1872) + -1 + 1)**2*-1. -7489 - 48*sqrt(13) Simplify sqrt(90)/(sqrt(12)/sqrt(6)) - 4*sqrt(6480). -141*sqrt(5) Simplify ((sqrt(77) - -5*3*sqrt(77))*-2)/(sqrt(252)*-2 - 4*sqrt(175)). sqrt(11) Simplify -1 + (sqrt(96)/sqrt(4))/sqrt(12)*4 - (3 + 3 + sqrt(18)*2). -7 - 2*sqrt(2) S...
{ "pile_set_name": "DM Mathematics" }
Convert 1657.6 years to centuries. 16.576 Convert 4681.571 meters to micrometers. 4681571000 What is 0.9037132 years in decades? 0.09037132 Convert 621.4555ms to seconds. 0.6214555 What is 0.3635619mg in grams? 0.0003635619 Convert 5666.23m to micrometers. 5666230000 What is 36.02347l in millilitres? 36023.47 How many...
{ "pile_set_name": "DM Mathematics" }
45)*(-75)/l. 66 What is the common denominator of -29/4 and ((-18)/(-64))/((-9)/186*-2)? 32 Let v(k) = -k**3 + 12*k**2 + 16*k - 30. Let g = -20 + 31. What is the lowest common multiple of v(13) and g? 99 Suppose -3*q = 3*f + 2*q + 25, 3*q - 72 = 4*f. Let t = 20 + f. Suppose 37 + 3 = t*y. What is the lowest common multi...
{ "pile_set_name": "DM Mathematics" }
be 140/56*(-4)/(-5). Suppose -3*k + 13 = 4*w, 3*k + w = s*k + 4. Let g = -0.1 + 0. Which is the closest to 2? (a) g (b) -4 (c) k c Let r = -5488 - -5486. Which is the nearest to -1? (a) 1 (b) r (c) -2/369 (d) 3 c Let p = -101 + 104. Let i be (p - 7 - (-56)/10) + -2. Let g = 17 + -16.9. Which is the closest to 2/...
{ "pile_set_name": "DM Mathematics" }
4*s + 445 - 1795 = -21*s. Solve 880*a - s = 874*a for a. 9 Let l(z) = -3*z**3 + 11*z**2 + 6*z + 3. Let y(n) = -5*n - 6. Let k be y(-2). Let i be l(k). Solve -8 = -i*p + 9*p for p. 4 Let b(o) = 6*o + 9. Suppose -5*z = 3*l - 0*l + 10, 10 = -5*z + 4*l. Let d be b(z). Let i(u) = -u**3 - 4*u**2 - 4*u - 3. Let v be i(d). So...
{ "pile_set_name": "DM Mathematics" }
what is 110101011000 + -11110? 110100111010 In base 9, what is 5 - -31022? 31027 In base 11, what is 3a761a + -1? 3a7619 In base 3, what is 2202221 - 1101? 2201120 In base 16, what is 1b19 + -2f? 1aea In base 3, what is -10 + -101021001112? -101021001122 In base 10, what is 735313 + 2? 735315 In base 3, what is -2 - -2...
{ "pile_set_name": "DM Mathematics" }
ide 93624057? False Is 2 a factor of 10811072? True Is 134 a factor of 78072268? False Is 139965620 a multiple of 5? True Is 3492 a factor of 203679880? False Is 29571789 a multiple of 1241? True Is 1859 a factor of 84275451? False Is 7066926 a multiple of 74? True Is 759162144 a multiple of 668? False Does 208 divide ...
{ "pile_set_name": "DM Mathematics" }
))/((-93)/(-2)). Let w be 125/93 + (-2)/3. Let g = w + s. Find the common denominator of g and 103/10. 30 Let j = -688 + 3403/5. Let n(s) = -322*s**2 - 5*s + 4. Let c be n(4). Let g = -51561/10 - c. Find the common denominator of g and j. 10 Let l = 81 + -75. Calculate the lowest common multiple of l and (-2)/5*(-5)/1....
{ "pile_set_name": "DM Mathematics" }
3. Which is the nearest to n? (a) -2 (b) 2/3 (c) j b Let q be (-3)/(-1 - 0/(-3)). Let v be -2*q/3 + 1. Let o = 75 - 377/5. Which is the closest to o? (a) v (b) -4 (c) -0.6 c Let z = 210 + -210.1. What is the closest to z in -1, 1, 1.85? -1 Let s = 17 - 33. Let b = -44.9 + 28.4. Let i = s - b. What is the closest ...
{ "pile_set_name": "DM Mathematics" }
2. Let t(i) = 38 - 3*i + i + 150 + 114. Calculate s(t(y)). -4*y**2 + 1208*y - 91204 Let u(z) = 3*z**2. Let x(p) = 9*p + 23*p + 23*p. Give x(u(c)). 165*c**2 Let z(u) = 2*u**2. Let a(t) = 2*t - 2. Let b be a(-3). Let f be (b/(-7))/((-12)/(-42)). Let v(x) = x - 3*x - 3*x + f*x. Give v(z(j)). -2*j**2 Let k(c) be the first ...
{ "pile_set_name": "DM Mathematics" }
etermine z, given that 54*z**5 - 75*z**4 - 130*z**3 + 95*z**2 + 76*z - 20 = 0. -1, -5/6, 2/9, 1, 2 What is s in -2*s**2/5 + 146*s/5 - 144/5 = 0? 1, 72 Factor -2*y**4/9 + 8*y**3/9 + 32*y**2/9 - 128*y/9. -2*y*(y - 4)**2*(y + 4)/9 Suppose -4*t**5/7 - 44*t**4/7 - 172*t**3/7 - 44*t**2 - 256*t/7 - 80/7 = 0. Calculate t. -5, ...
{ "pile_set_name": "DM Mathematics" }
95*j + 790. -5*(j - 79)*(j - 1)**2*(j + 2) Find q, given that -2*q**4 + 28*q**3 + 96*q**2 + 100*q + 34 = 0. -1, 17 Let -5*m**3/2 + 25*m**2 - 35*m/2 - 45 = 0. Calculate m. -1, 2, 9 Factor 2*z**4 + 12*z**3 + 16*z**2 - 12*z - 18. 2*(z - 1)*(z + 1)*(z + 3)**2 Factor -4*x**2 - 1504*x - 1500. -4*(x + 1)*(x + 375) Factor 3*l*...
{ "pile_set_name": "DM Mathematics" }
*l**2 + 1848*d*q + 12*l**2 What is the third derivative of a**5 - 27*a**3 - 54*a**2 + 4? 60*a**2 - 162 What is the third derivative of 8*j**4 + 17*j**3 - 9*j**2 - 6? 192*j + 102 Differentiate -2923*r**2 + 2*r + 3051 wrt r. -5846*r + 2 Find the second derivative of -8*l**2*t**3 - 57*l**2*t + 5*l*t**3 + 40*l*t**2 - 2*t**...
{ "pile_set_name": "DM Mathematics" }
26*z + 16*z. Give 10*d(h) + 6*l(h). 2*h**2 Let g(a) = 5*a - 3. Let w = -22 + 25. Let l(n) = 9*n - 5. Determine w*l(p) - 5*g(p). 2*p Let m(g) = g**3 + g**2 + 1. Let p(i) = -4 - 3*i**2 + 7*i + 3*i**2 - 3*i**3 - 6*i - 4*i**2. Suppose -4*u = -1 - 3. What is u*p(r) + 4*m(r)? r**3 + r Let v(q) = -3 + 0 + 4*q**2 - 5*q**2. Sup...
{ "pile_set_name": "DM Mathematics" }
thout replacement from {p: 4, d: 2}. 2/5 Calculate prob of picking 2 w when two letters picked without replacement from {w: 5, r: 1, p: 3, g: 3}. 5/33 Two letters picked without replacement from kwkokkookvkokkkkkwk. What is prob of picking 1 v and 1 o? 4/171 Calculate prob of picking 1 f and 2 h when three letters pick...
{ "pile_set_name": "DM Mathematics" }
*2 + 2 Expand (123*h**5 - 108*h**5 + 192*h**5)*(-9 + 18 - 6). 621*h**5 Expand -61*m**2 + 61*m**2 + 5*m**3 + (1 - 1 - 2*m)*(3*m**2 - 10*m**2 - 2*m**2). 23*m**3 Expand (3*a + 0*a - 2 - 2*a)*(4 + 3 + 1) + (5 - 3 - 3)*(-172*a + 19*a + 363*a). -202*a - 16 Expand -5*m + 4*m + 2*m + (-4 + 0 + 15)*(-30*m - 8*m + 0*m)*(-7 + 2 +...
{ "pile_set_name": "DM Mathematics" }
ide 1624? True Is 2 a factor of 6455? False Does 78 divide 20436? True Is 9702 a multiple of 14? True Is 154 a factor of 10934? True Does 9 divide 172? False Does 10 divide 4066? False Is 6 a factor of 882? True Is 1308 a multiple of 12? True Does 26 divide 569? False Is 52 a factor of 3744? True Is 30 a factor of 6540...
{ "pile_set_name": "DM Mathematics" }
- (-43 + (9 - -16))). -38 Calculate (30 - -26 - 32) + 24 + 0. 48 Calculate 3 + (-8 - (-111 - (-7 + -10))) + (-3 - 7). 79 Calculate -58 + 1 + (24 - -4) + -7. -36 What is 3 + 1 + -6 - (4 - 3 - 0 - 21)? 18 What is the value of 41 + -8 + (29 - 25)? 37 What is (7 - 46) + 66 + -38 + -15? -26 Calculate (-21 - -40 - 8) + (13 ...
{ "pile_set_name": "DM Mathematics" }
-4*t = -1 - p for t. 2 Suppose 81 = 4*j - p, 2*j + 5*p - 28 = 3*p. Let v = j + 6. Solve 0*s = -5*s - v for s. -5 Let d be ((-12)/15)/((-146)/(-50) + -3). Solve d = 5*a - 3*a for a. 5 Suppose h - 25 = -0*t - 5*t, -2*h + 2*t - 10 = 0. Suppose 4*p = 3*g - h*p - 42, 0 = -g - 2*p + 24. Let n = g - 5. Solve 0 = -3*y + n - 1...
{ "pile_set_name": "DM Mathematics" }
-5 Solve -4 = 2*g - 14, 3*x - 4*g = -20 for x. 0 Solve -4*a + 2*u + 12 = 0, 3*a - 2*a - 12 = 5*u for a. 2 Solve 5 = -y, -4*h = -9*h + 4*y + 15 for h. -1 Solve -3*t - 18 = -3*c, -5*t + 3*c - c = 24 for t. -4 Solve 0 = -3*f - a + 4, -3 = 4*f + 3*a - 5 for f. 2 Solve 14 = 3*w - 5*s, -32*w - s = -27*w - 14 for w. 3 Solve ...
{ "pile_set_name": "DM Mathematics" }
4895.1. -4871.1 Work out 0.6 - -0.13317692. 0.73317692 What is 0.32680113 less than 46? 45.67319887 Sum 5196923.83 and 0.54. 5196924.37 What is -1252740.59 plus -0.006? -1252740.596 Put together 687667991 and -0.063. 687667990.937 Put together 294245 and -76.3. 294168.7 What is -20.13 minus 34972199? -34972219.13 -1 + ...
{ "pile_set_name": "DM Mathematics" }
3*g = -163 - k, -3*g = w - 241. Is w a multiple of 17? True Let q(o) = 7*o**3 - 3*o**2 + 16*o + 27. Let n(c) = -28*c**3 + 13*c**2 - 65*c - 106. Let v(p) = -2*n(p) - 9*q(p). Does 57 divide v(-2)? True Suppose 0 = -6*r - 619 + 10993. Suppose -5*x + 2052 = 3*k - r, -3*x + 2261 = -2*k. Is 43 a factor of x? False Is 26 a f...
{ "pile_set_name": "DM Mathematics" }
rom nwwnnnnngnng. 112/495 Three letters picked without replacement from {f: 1, d: 2, y: 1, v: 1}. Give prob of picking 2 d and 1 v. 1/10 Three letters picked without replacement from pknpmimq. Give prob of picking 2 p and 1 k. 1/56 Calculate prob of picking 1 n and 1 y when two letters picked without replacement from s...
{ "pile_set_name": "DM Mathematics" }
oes 9 divide m(0)? False Let a(m) = -10*m + 2. Let z be a(-2). Let y(p) = -11*p**3 + p**2 - 2*p + 1. Let h be y(1). Let k = z - h. Is k a multiple of 33? True Let j(r) = 10 - 208 - 81 + 28 - 42*r - 17. Is 41 a factor of j(-17)? False Suppose -5*x - 3*r = -1035, 4*x - 860 = 2*r + 2*r. Does 11 divide (84/(-10))/((-7)/x)?...
{ "pile_set_name": "DM Mathematics" }
common divisor of m and x. 17 Suppose -196 = -3*y - 205. Let h(f) = 34*f + 20. Let z be h(y). Let d be z/(-5) - 2*2/10. Calculate the greatest common factor of 144 and d. 16 Let f be 4 + (-3 - 189/15)*520/(-78). Calculate the greatest common divisor of 279 and f. 9 Suppose -9 = -3*g - 0. Let b be g*-5*(-7 - -4). Suppo...
{ "pile_set_name": "DM Mathematics" }
Let q(x) be the second derivative of -14/3*x**3 + 0 - 5/2*x**2 + x. Does 19 divide q(-2)? False Let i = -838 + 2955. Does 73 divide i? True Let y = 634 + -128. Is y a multiple of 49? False Let m = -248 + 153. Let c = m + 326. Is 33 a factor of c? True Suppose -2*b - 27 + 432 = -3*u, u + 201 = b. Does 9 divide b? True ...
{ "pile_set_name": "DM Mathematics" }
-a*s = 5 + 1. Is l prime? False Suppose -4 = -2*a - 3*a + 2*d, -2*a = -4*d + 8. Suppose y = k + 51, -114 = -4*y - a*k + 102. Is y a composite number? False Is 66094/30 + 10/(-75) a composite number? False Suppose 2*p + p - 2*h - 5541 = 0, -2*h = 5*p - 9235. Is p a composite number? False Let t be (-41)/5 - 3/(-15). Let...
{ "pile_set_name": "DM Mathematics" }
+ 210*b = 208*b - 3 for x. 1 Solve -3*l - 15 = 3*k - 45, 3*l - 5*k + 124045 = 124059 for l. 8 Solve -2*h = 2*p, 4 = -3*h + 7*p - p - 2*p + 11 for h. 1 Solve 0 = -2*u - 20, -34*k - u + 1138 = -29*k + 1163 for k. -3 Solve 24 = 4*l + 5*c, -36*l - 11 = 15*l - 42*l - 5*c for l. 1 Solve -6*u = -29*i - 2*u + 186, -544*i - 3 =...
{ "pile_set_name": "DM Mathematics" }