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13? -33002 In base 4, what is -203 + -2002? -2211 In base 11, what is 3 + 6187? 618a In base 10, what is -293 + -1779? -2072 In base 4, what is -2 + -3031311303? -3031311311 In base 11, what is -1252 + 30? -1222 In base 15, what is 1 - 3118e? -3118d In base 12, what is 737b + 16? 7395 In base 10, what is -17 - 6148? -6...
{ "pile_set_name": "DM Mathematics" }
hout replacement from iitsaiidiittasiaaa. What is prob of picking 1 s, 1 a, and 2 t? 1/102 Four letters picked without replacement from qbibiqiqqbb. Give prob of picking 4 b. 1/330 Three letters picked without replacement from {e: 1, c: 3, o: 3, a: 6}. What is prob of picking 2 a and 1 e? 15/286 Two letters picked with...
{ "pile_set_name": "DM Mathematics" }
*s + 21 What is the r'th term of 1340, 1325, 1308, 1289, 1268, 1245, 1220? -r**2 - 12*r + 1353 What is the v'th term of 34, 152, 342, 598, 914, 1284? -v**3 + 42*v**2 - v - 6 What is the s'th term of 19, -6, -49, -116, -213? -s**3 - 3*s**2 - 9*s + 32 What is the p'th term of -95, -81, -55, -11, 57? p**3 + 7*p - 103 What...
{ "pile_set_name": "DM Mathematics" }
*3 + 16*w**2 + 14*w - 17. Let g be u(-15). Let z = g - -34. What is the greatest common divisor of z and 16? 16 Suppose -2*g - 112 = -10*g. Suppose 9*d - g*d + 45 = 0. Let z be (1/(-2))/(2/(-72)). What is the greatest common factor of d and z? 9 Let r be 188*((-45)/(-84) + (-10)/35). Let b = r + 29. Suppose 0 = 2*p - 1...
{ "pile_set_name": "DM Mathematics" }
-1/2 (c) 0.8 (d) 3 (e) -6 a What is the third smallest value in -0.2, 503, 1? 503 What is the smallest value in 3, -5, -2, -4? -5 Which is the smallest value? (a) -4 (b) 191 (c) 1 a Which is the third smallest value? (a) 58 (b) -2 (c) 3/7 a Which is the fourth biggest value? (a) 0.02 (b) 0.07 (c) 0 (d) 3/4...
{ "pile_set_name": "DM Mathematics" }
2*v**2 - v Let k(n) = -42*n - 22. Let t(r) = 14*r + 7. What is 4*k(o) + 11*t(o)? -14*o - 11 Let b(i) = -5*i**3 + 11*i + 3*i**2 + 4*i - 4*i - 14*i. Let g(x) = 16*x**3 - 9*x**2 + 10*x. Determine -7*b(z) - 2*g(z). 3*z**3 - 3*z**2 + z Suppose -100*c + 108*c = 32. Let u(t) = -t**3 + 4*t. Let y(r) = r**3. Calculate c*y(a) + ...
{ "pile_set_name": "DM Mathematics" }
41 What is the next term in 59, 221, 505, 923, 1487, 2209, 3101? 4175 What is the next term in -897314, -1794626, -2691936, -3589244, -4486550, -5383854, -6281156? -7178456 What is next in 338, 421, 504, 587, 670, 753? 836 What is the next term in 2460, 4924, 7388? 9852 What is the next term in -80, -291, -476, -623, -...
{ "pile_set_name": "DM Mathematics" }
f 269, 269, 279, 305, 353? g**3 - g**2 - 4*g + 273 What is the n'th term of 14, 14, 0, -34, -94? -n**3 - n**2 + 10*n + 6 What is the s'th term of 4, 62, 218, 520, 1016, 1754, 2782? 8*s**3 + s**2 - s - 4 What is the x'th term of 49, 187, 417, 739, 1153, 1659? 46*x**2 + 3 What is the a'th term of -41, -87, -137, -191, -2...
{ "pile_set_name": "DM Mathematics" }
. Calculate the common denominator of (-1)/(-1) + (-105)/(-48) and k. 16 Let a be (97 - -1)/(21 + -19). Let y = a - 32. What is the least common multiple of y and 4? 68 Let d(x) = -4*x**2 + 3*x - 10. Let y be d(-7). Let u = -41056 - -165121/4. Let v = u + y. Find the common denominator of v and -3/4. 4 Let l = 3/239 - ...
{ "pile_set_name": "DM Mathematics" }
ded to the nearest ten? 40 Let n = 0.382393747 - 282.382510747. Let z = 302 + -584. Let j = z - n. What is j rounded to five decimal places? 0.00012 Let j(u) = -12*u - 1. Let h be j(-3). Suppose -q + h = -53. What is q rounded to the nearest ten? 90 Let l = 0.09 - -0.01. Let o = l + 0.2. Let i = 0.3000001 - o. Round i ...
{ "pile_set_name": "DM Mathematics" }
Let l = 47 - 46. Calculate k(l). -8 Let q(h) = 4*h + 6*h + 4 + 11*h**2 + 2*h**3 - h**3 + 4. Calculate q(-10). 8 Let b(n) be the second derivative of -n**4/12 + 7*n**2/2 - 45*n. Calculate b(5). -18 Let l(a) be the first derivative of a**4/4 + 4*a**3/3 + a + 2. Let q be (24/(-60))/((-1)/(-5)). Let c be (2 - q) + (-2 - 4)...
{ "pile_set_name": "DM Mathematics" }
thousand? 90000 What is -6.84285128 rounded to one decimal place? -6.8 What is -49717844.4 rounded to the nearest one thousand? -49718000 What is -1405.947081 rounded to the nearest integer? -1406 Round 0.00015354025 to 7 dps. 0.0001535 What is 15669.270524 rounded to the nearest 10? 15670 What is -6142.8332 rounded t...
{ "pile_set_name": "DM Mathematics" }
Let k(y) = y**2 + 5*y - 1. Let c be k(-6). Let x be 1761 - (c + -3 + 0). Let z = x - 17561/10. What is the common denominator of z and 11/10? 10 Find the common denominator of -91/2 and (-13)/3*42/4. 2 Let k = 47247/54758 + 2/2489. Find the common denominator of k and -103/22. 22 Suppose 10 = 5*o - 4*c - c, 4*o = -2*c...
{ "pile_set_name": "DM Mathematics" }
-27532, -54910, -82114, -109150, -136024, -162742, -189310? -215734 What comes next: -4832, -4853, -4916, -5045, -5264, -5597, -6068? -6701 What is the next term in 522611, 1045228, 1567851, 2090480, 2613115, 3135756, 3658403? 4181056 What comes next: 4200, 8324, 12372, 16344? 20240 What is the next term in -21960, -4...
{ "pile_set_name": "DM Mathematics" }
halves of a micrometer in nanometers? 28500 How many nanometers are there in 840826.1 kilometers? 840826100000000000 How many centimeters are there in 47/4 of a meter? 1175 What is 27/4 of a millimeter in micrometers? 6750 How many months are there in 93973.64 centuries? 112768368 What is seven halves of a century in ...
{ "pile_set_name": "DM Mathematics" }
. Let q be d(z). Suppose -a = -6*n + 3*n + q, 0 = -2*n + 3*a + 98. Is n a prime number? False Suppose -3*h + 100 = -j, -j - 164 = 6*h - 11*h. Suppose 2*x = 4*x - h. Is 2/8 + 1068/x a prime number? True Let f(c) be the first derivative of -5*c**4/12 - c**3/6 - 3*c**2/2 + 2. Let w(b) be the second derivative of f(b). Is ...
{ "pile_set_name": "DM Mathematics" }
8394? 0 Calculate 9197 divided by 107. 9197/107 Divide -258585630 by -285. 907318 Calculate -770437108 divided by 4. -192609277 Divide 471654 by -205. -471654/205 Divide 137 by 39133. 137/39133 -25 divided by -1091195 5/218239 What is -14 divided by 1362451? -14/1362451 Divide -3871308 by 1935654. -2 What is 249784610 ...
{ "pile_set_name": "DM Mathematics" }
et b(n) = -4*n + 12. Determine r(b(x)). -44*x + 134 Let r(j) = -7*j + 6. Let d(u) = 169*u - 143. Let f(k) = -6*d(k) - 143*r(k). Let x(s) = 2*s. Determine x(f(q)). -26*q Let k(x) = -107*x**2 - 1. Let s(b) be the second derivative of b**3/3 - b + 109. Determine s(k(v)). -214*v**2 - 2 Let u(j) = 5*j. Let w(z) = 3*z**2 + 3...
{ "pile_set_name": "DM Mathematics" }
the fourth root of 573429 to the nearest integer? 28 What is 566979 to the power of 1/6, to the nearest integer? 9 What is 2146996 to the power of 1/2, to the nearest integer? 1465 What is the fifth root of 101077 to the nearest integer? 10 What is 15108034 to the power of 1/2, to the nearest integer? 3887 What is the...
{ "pile_set_name": "DM Mathematics" }
1307 and 29. 29 Calculate the highest common factor of 66 and 128062. 22 What is the greatest common factor of 965 and 2905? 5 What is the highest common divisor of 69712 and 48? 16 What is the greatest common divisor of 49890 and 210? 30 What is the greatest common divisor of 2360 and 80535? 295 Calculate the highest ...
{ "pile_set_name": "DM Mathematics" }
ich is the nearest to 20? (a) 8 (b) 3 (c) -2 (d) -4 (e) 12 e Which is the nearest to -139/3? (a) -0.1 (b) 0.5 (c) 4.2 a What is the nearest to 1 in 3, 4, 171/61? 171/61 Which is the closest to 0? (a) -0.3 (b) 0.20156 (c) 1 b Which is the closest to -1306? (a) -1/10 (b) -2/7 (c) -0.2 (d) -12 (e) 0 d What...
{ "pile_set_name": "DM Mathematics" }
= 0. What is j? -632, 1 Find o such that 2*o**4 - 908*o**3 + 104858*o**2 - 408600*o + 405000 = 0. 2, 225 Let p**2 - 698*p + 697 = 0. Calculate p. 1, 697 Solve -4*y**3 + 156*y**2 + 324*y + 164 = 0 for y. -1, 41 Factor -r**3/5 + 721*r**2/5 + r/5 - 721/5. -(r - 721)*(r - 1)*(r + 1)/5 Factor -3*m**4 + 255*m**3 - 6012*m**2 ...
{ "pile_set_name": "DM Mathematics" }
es -127 -127 Calculate -7*-1.1. 7.7 -7 * -110 770 -0.023 * 0.4 -0.0092 Product of 2.4 and 0.006. 0.0144 Product of 13 and 0.0188. 0.2444 Work out 0.2 * 0.198. 0.0396 1.08*2 2.16 What is the product of 156 and 3.6? 561.6 -0.053 times -173 9.169 What is the product of -6.3 and -0.6? 3.78 Calculate 0*139. 0 5 * 54 270 Wor...
{ "pile_set_name": "DM Mathematics" }
pose r = -3*w + 18 + 3. Solve -2*m = -5*j + w, 3*m + 2*j - 4*j = -c for m. -1 Suppose -3*m - 14 = u - 3, 11 = -m - 4*u. Suppose 5*o = 5*t + 9 + 11, -5*t + 2*o - 11 = 0. Let g = t - m. Solve 3*a + 15 = -4*y, 0 = g*y + 2*y - 4*a - 20 for y. 0 Let h = -143 - -145. Solve -2*v - z - 1 = 0, 0 = -3*v + h*z + 2 - 14 for v. -2 ...
{ "pile_set_name": "DM Mathematics" }
the biggest value? (a) -6 (b) 0.2 (c) n b Let s(w) = 5*w**2 + w. Let n be s(1). Let y = 10 - n. Which is the third biggest value? (a) y (b) -1/9 (c) -0.2 c Let x = -0.08 + -0.12. Let q = 0.2 + x. Which is the smallest value? (a) q (b) 0.4 (c) -3 c Let h = 13/10 + -121/70. Let r = -0.5 + -1. Let o = 2 + r. Whic...
{ "pile_set_name": "DM Mathematics" }
value in 2/3, -0.08, w, -0.07? -0.08 Let v = 0 + 2.5. Let o = v + -2. Suppose 5*n - 23 = -2*j, 0*n + 16 = 4*n + 4*j. Which is the third smallest value? (a) n (b) 4 (c) o a Let j be 0 - ((-3)/(-5) - 0). Let l = 14/15 + j. Let z = -43 + 127/3. Which is the third smallest value? (a) 0.5 (b) z (c) l a Let r = -1.96 ...
{ "pile_set_name": "DM Mathematics" }
**(-15))))**45 assuming i is positive. i**948 Simplify ((u*u**(-2)*u*u/u**(-2/7))/(u**3/((u*u**1)/u)))/(u**(2/11)/u**(-2/25))**44 assuming u is positive. u**(-2141/175) Simplify ((k*k**(1/10))/k*k/(k*k*k*k**(-7)/k*k*k)*(k**1/k)**(-21))/(k**(1/10)/(k**(-6)*k))**(-1) assuming k is positive. k**(46/5) Simplify ((l**(1/3))...
{ "pile_set_name": "DM Mathematics" }
/51) assuming n is positive. n**(224/28305) Simplify (q**(-2/11)*(q/q**(-7))/q*q**7*q/q**(-2/7))**(-2/27) assuming q is positive. q**(-2326/2079) Simplify (((v**6/v)/v)/v)/v**(3/16)*v**17/(v/(v/(v*v/(v**(-2/5)*v)))) assuming v is positive. v**(1473/80) Simplify (((l/(l**(-9/2)*l))/l)/(l/(l/(l**(-2)/l))))/((l/((l*l*l*l/...
{ "pile_set_name": "DM Mathematics" }
nding order. k, p, -14 Let x be -2*((-21)/6 + 1). Let t be x*(12/10)/(-3). Sort 2, 3, t in increasing order. t, 2, 3 Suppose n + 18 = -n. Let q be n/6*2*-1. Sort 0.1, q, 2 in increasing order. 0.1, 2, q Let w = 2 + 3. Let h be -2 + -2*3/6 + 5. Sort 4, h, w in decreasing order. w, 4, h Suppose 16 = -5*h - 0*c - c, -4*h ...
{ "pile_set_name": "DM Mathematics" }
s the second biggest value in 5, 1, 3, 6? 5 Which is the third smallest value? (a) -2 (b) 10 (c) -7 (d) -5 a What is the third biggest value in -0.2, 2, 0.3601? -0.2 What is the biggest value in 4/13, -2/13, -90/31? 4/13 What is the second smallest value in -0.76, -0.2, -1.1, 2, 3/5? -0.76 What is the third smalles...
{ "pile_set_name": "DM Mathematics" }
-6 Let r(s) = -18*s + 1. Calculate r(2). -35 Let x(k) = k**2 - 81*k - 251. Calculate x(84). 1 Let n(u) = 6*u + 41. Calculate n(14). 125 Let s(m) = -7*m**3 + m + 1. Calculate s(-1). 7 Let n(w) = -w**3 - 4*w**2 - 8*w - 3. Calculate n(-3). 12 Let g(a) = -a**2 + 11*a + 21. Determine g(14). -21 Let c(p) = -2*p**3 + 4*p**2 -...
{ "pile_set_name": "DM Mathematics" }
f -0.09 and 2264? -203.76 Product of 9747 and -30. -292410 What is -290 times -726? 210540 16448*4 65792 What is the product of -1405 and -161? 226205 3.9942 * 4 15.9768 Work out -0.5 * 22268. -11134 Work out -3009 * 3.46. -10411.14 What is the product of 4 and -386? -1544 Calculate -2730*-0.39. 1064.7 Work out 8168 * ...
{ "pile_set_name": "DM Mathematics" }
. 16 Calculate the remainder when 116477 is divided by 115. 97 Calculate the remainder when 10972 is divided by 192. 28 Calculate the remainder when 3653 is divided by 47. 34 What is the remainder when 239 is divided by 80? 79 Calculate the remainder when 82268 is divided by 41118. 32 Calculate the remainder when 2205 ...
{ "pile_set_name": "DM Mathematics" }
+ j. Let w be v(-1). Let l be -2*(60/(-8))/w. What is the second derivative of -2*q**l + 5*q**3 - 3*q - 2*q**3 wrt q? 6*q Suppose -9*w + 935 + 199 = 0. Find the first derivative of 3 - 155*j**4 - 5 - 14 + w*j**4 wrt j. -116*j**3 Let w(j) be the first derivative of -7*j**5/20 + 17*j**2/2 + 3*j + 14. Let x(k) be the firs...
{ "pile_set_name": "DM Mathematics" }
the third derivative of u(g) wrt g? -1920*g**2 Suppose 4*c = 16, -5*c + 29 = -2*h + 5*h. Suppose 0*i = h*i - 15, 3*t = 3*i - 15. Find the second derivative of -2*f + t*f**3 - 3*f**3 + 5*f**3 wrt f. 12*f Let n = -14 + 15. Find the second derivative of 0 + 3*m**4 + 1 - n - 4*m wrt m. 36*m**2 Let d(p) be the second deriva...
{ "pile_set_name": "DM Mathematics" }
third derivative of 65*g*p**4 + 201*g - 143*p**4 - 27*p**2 wrt p. 1560*g*p - 3432*p What is the third derivative of 2838*g**6 - 3*g**5 + 2*g**4 - 25*g**2 + 79*g? 340560*g**3 - 180*g**2 + 48*g What is the first derivative of 13*u**3 - 8*u**2 + u + 9534? 39*u**2 - 16*u + 1 What is the second derivative of 3*a**3*p**3 - 5...
{ "pile_set_name": "DM Mathematics" }
0*w + w, -3*j = -4*w - 263. What is the units digit of j? 1 Suppose -13 = -5*k + 7. Suppose 4*n + 13 - 47 = 2*j, -3*j - k*n = 11. Let p = j - -17. What is the units digit of p? 8 What is the tens digit of 117 - (-6 - (1 + -5))? 1 Let w(x) = x - 6. Let y be w(6). Suppose 2*v + v + 12 = y. What is the units digit of ((-...
{ "pile_set_name": "DM Mathematics" }
What is g(v)? 1 Let w(y) = 2*y + 44. Let n be w(-13). Suppose 3*p = n - 3. Let b(d) = -d**2 + 2*d + 6. Calculate b(p). -9 Let q be ((-18)/(-15))/((-4)/(-10)). Suppose 4*x + 6*x + 20 = 0. Let s(n) = -3*n**2 - 4*n - 5. Let y(w) = -w**2 - w - 2. Let l(p) = x*s(p) + 7*y(p). Give l(q). -10 Let p(c) = 19 - 19 + c. Let b be p...
{ "pile_set_name": "DM Mathematics" }
or p. 3 Let m(z) = z**3 - 62*z**2 - 123*z - 215. Let y be m(64). Solve 20*s = 25 - y for s. -4 Let b(k) = -4*k**3 + 7*k**2 - 145*k - 755. Let o be b(-5). Solve -619 = 13*w - o for w. 2 Let j = 21541 - 21521. Solve j*t - 487 + 567 = 0 for t. -4 Let y(z) = -5 + 2*z - 2 - 4*z + 8 + 3. Suppose -16 = -3*b - 4*l + 10, -b + 1...
{ "pile_set_name": "DM Mathematics" }
e nearest to y? (a) t (b) w (c) -3 b Let h = -218 - -216. Which is the closest to 3? (a) h (b) -0.3 (c) 0.1 c Let r be -1 + (-86)/(-40) + (-21)/28. Which is the closest to r? (a) 2 (b) 0.3 (c) 4 b Let w = -61 - -60.7. Let i = 2.3 + w. Let k be 4/5*10/28. Which is the nearest to k? (a) i (b) -0.4 (c) 1 b Let...
{ "pile_set_name": "DM Mathematics" }
it of 1635661? 6 What is the thousands digit of 42392? 2 What is the hundred thousands digit of 8030986? 0 What is the hundreds digit of 1586724? 7 What is the thousands digit of 224188? 4 What is the ten thousands digit of 2876967? 7 What is the tens digit of 332511? 1 What is the units digit of 159772? 2 What is the ...
{ "pile_set_name": "DM Mathematics" }
o = 131 + -74. Let y = o + -28. What is the greatest common factor of 174 and y? 29 Suppose -5*b + 2*b - 18 = 0. Let l(n) = n**2 + 3*n - 8. Let y be l(b). Let k be 264/18 - 7/(-21). Calculate the highest common factor of k and y. 5 Let q(l) = 69*l**3 - 3*l**2 + l. Let x be q(2). Suppose -8*u = -x + 182. What is the gr...
{ "pile_set_name": "DM Mathematics" }
cked without replacement from {o: 2, h: 10, s: 6}. Give prob of sequence hho. 5/136 What is prob of sequence feq when three letters picked without replacement from eqeffefffqqqqe? 25/546 Calculate prob of sequence qq when two letters picked without replacement from qaaqqaaalqqqqaqaqqa. 5/19 Four letters picked without ...
{ "pile_set_name": "DM Mathematics" }
divide 206386560? True Is 2 a factor of 15681848? True Does 631 divide 2656092909? True Is 1746500573 a multiple of 104? False Does 8 divide 513869832? True Is 804 a factor of 684544896? True Is 43 a factor of 3155297? True Is 65976817 a multiple of 2003? True Is 8 a factor of 14189051? False Does 823 divide 46022983?...
{ "pile_set_name": "DM Mathematics" }
7, 29646, 42543? -2*h**3 + 1189*h**2 + 171 What is the d'th term of 9488, 37960, 85402, 151826, 237244, 341668, 465110? 2*d**3 + 9473*d**2 + 39*d - 26 What is the z'th term of -157999387, -157999385, -157999383, -157999381, -157999379? 2*z - 157999389 What is the n'th term of -277417310, -554834622, -832251934, -110966...
{ "pile_set_name": "DM Mathematics" }
erivative of -167*f + 30? -167 What is the second derivative of -17*a*c + 12*a*h**3 - c*h**4 - 88*c*h**2 + 10*c*h + 2*h wrt h? 72*a*h - 12*c*h**2 - 176*c Differentiate 408*n**2*w + 776*n**2 wrt w. 408*n**2 What is the third derivative of -2208*m**3 - m**2 + 8*m + 132 wrt m? -13248 What is the second derivative of q**4 ...
{ "pile_set_name": "DM Mathematics" }
201000 Convert 40036 (base 10) to base 5. 2240121 Convert 110110 (base 2) to base 8. 66 220202010 (base 3) to base 11 1260a Convert -2122121020 (base 3) to base 13. -1a9b2 Convert -17623 (base 10) to base 3. -220011201 What is 267 (base 9) in base 7? 436 Convert 1fd (base 16) to base 8. 775 Convert -3c67 (base 14) to b...
{ "pile_set_name": "DM Mathematics" }
22. What is the highest common factor of 54 and v? 18 Let w be (-1201)/(-2) - 0 - (-24)/48. Suppose 4*f + w = i + 48, 0 = -4*f - 20. What is the greatest common factor of 82 and i? 41 Suppose 2*i - 3*u + 18 = 4*i, -2*u = -i + 16. Suppose 4*b = -i*b + 2688. What is the highest common divisor of 28 and b? 28 Let r be ((-...
{ "pile_set_name": "DM Mathematics" }
= 6 + 64. Suppose m*k - 10*k - 7*k = 0. What is the second smallest value in 2, k, -1/9? k Let d = 24.211 - 3.601. Let y = 0.39 + d. Let v = y - 21. What is the second biggest value in v, 0.4, -3? v Let i be 19/2 + (-6)/12. Suppose -5*d + 16 + i = 0. Which is the third smallest value? (a) -2/3 (b) 0.3 (c) d c Let l...
{ "pile_set_name": "DM Mathematics" }
lve -1605*r - 3482*r - 1166*r - 29682 = -1306*r for r. -6 Solve -161*c + 14631 = 23164 for c. -53 Solve -23135*k + 23242*k - 5029 = 0 for k. 47 Solve 5532752 = 102*w + 5533466 for w. -7 Solve -27004 = -176*w - 12809 + 941 for w. 86 Solve 65*i - 6424 = 202*i - 49*i for i. -73 Solve 887*y - 44337 + 59692 = -615*y - 14235...
{ "pile_set_name": "DM Mathematics" }
e v(g(p)). 3*p Let p(m) = 2*m**2 - 3*m. Let i(z) be the second derivative of z**4/6 - z**3/3 - 2*z. Let c(s) = -3*i(s) + 2*p(s). Let g(d) = 2*d. Calculate g(c(b)). -4*b**2 Let a(k) = -4*k. Let g(t) = -14*t + 3*t**2 + 14*t. Give a(g(y)). -12*y**2 Let g(k) = -88*k**2. Let y(o) = -o. What is g(y(j))? -88*j**2 Let t(k) = -...
{ "pile_set_name": "DM Mathematics" }
divided by -59. 8 What is -265 divided by -5? 53 25570 divided by -2 -12785 What is 110 divided by 7? 110/7 Calculate 8455 divided by 5. 1691 Calculate -9 divided by 2. -9/2 Divide -92 by -5. 92/5 What is 300 divided by -60? -5 What is -3567 divided by -5? 3567/5 Calculate -411 divided by -411. 1 -2 divided by -28 1/1...
{ "pile_set_name": "DM Mathematics" }
7978? 82*b**3 + 3*b**2 + 14*b - 393 What is the h'th term of 902, 7514, 25408, 60224, 117602, 203182, 322604, 481508? 940*h**3 + h**2 + 29*h - 68 What is the n'th term of 20783, 21136, 22097, 23972, 27067, 31688, 38141? 51*n**3 - 2*n**2 + 2*n + 20732 What is the h'th term of -8085640, -8085641, -8085642, -8085643, -808...
{ "pile_set_name": "DM Mathematics" }
i. 5*i - 3 Collect the terms in 409 + 6*h - 12*h + 3*h. -3*h + 409 Collect the terms in -20*t**2 - 6*t**2 + 1 + 676*t - 1351*t + 675*t. -26*t**2 + 1 Collect the terms in -78 - 40 - 24 - q. -q - 142 Collect the terms in -26*r - 28*r - 38*r - 33*r - 7 + 142*r. 17*r - 7 Collect the terms in 28*t**3 - 62*t**3 + 86*t**3. 52...
{ "pile_set_name": "DM Mathematics" }
-y - 4*t - 8 + 69, 0 = -3*y + 3*t + 198. Find the first derivative of -y*s**3 + 56*s**3 + 20 - 47 wrt s. -27*s**2 Suppose 36*m - 44*m = -16. Find the second derivative of -206*g**2 - 1 - 2*g + 203*g**m + 46*g wrt g. -6 Differentiate 313 + 96 - 1005373*c**3 - 4097*c**2 + 1005375*c**3 wrt c. 6*c**2 - 8194*c Suppose 8*c -...
{ "pile_set_name": "DM Mathematics" }
**3 - 9662196*b**2*g What is the first derivative of 181625672*t**2 + 339240166? 363251344*t Differentiate -125187360*r + 73054069. -125187360 Find the third derivative of -167541655*s**3 + 2813*s**2 - 4891 wrt s. -1005249930 What is the second derivative of 433*z**5 + 225125*z**4 + 867280407*z wrt z? 8660*z**3 + 27015...
{ "pile_set_name": "DM Mathematics" }
*c**2 + 15*c + 12. What is the tens digit of n(12)? 9 Let b = 150 + -84. What is the tens digit of b? 6 Suppose 2*t = 6*t + 60. Let j = 6 + -17. Let c = j - t. What is the units digit of c? 4 Suppose 3*j = -j + 112. What is the units digit of j? 8 Let l(v) = 6*v**2 + v + 2. Let g(p) be the first derivative of -5*p**3/3...
{ "pile_set_name": "DM Mathematics" }
a factor of 9288? True Is 1883 a multiple of 72? False Does 15 divide 5955? True Is 18727 a multiple of 24? False Is 690 a multiple of 23? True Is 44 a factor of 6406? False Is 27 a factor of 4737? False Is 19 a factor of 2622? True Is 14057 a multiple of 21? False Does 9 divide 14205? False Is 104 a factor of 7776? Fa...
{ "pile_set_name": "DM Mathematics" }
mon multiple of i and c. 14 Suppose -3*j - 2*w + 56 = -34, 47 = j - 5*w. Calculate the smallest common multiple of j and 16. 32 Suppose 2*t = 0, 48 = 2*c - 2*t + 7*t. Suppose -2*a + 48 = 3*a - 3*i, -3*a + 3*i + c = 0. Calculate the lowest common multiple of 8 and a. 24 Let u = -4 - -6. What is the common denominator of...
{ "pile_set_name": "DM Mathematics" }
be y(-17). Let j be (-14)/(-4)*(x + -11). Let z(m) = m + 1. Determine z(j). 8 Let r(p) = 0 + 99*p**2 + 3 - 102*p**2 + 3. Calculate r(-2). -6 Let h = -100 + 97. Let b(y) be the second derivative of -y**4/12 - y**3/3 - y**2/2 + 4*y. Give b(h). -4 Let z(v) = 6*v + 9. Let o(x) = x + 4. Let m(s) = 5*o(s) - z(s). Determine m...
{ "pile_set_name": "DM Mathematics" }
2 + 2). -62*n Expand -z**2 + 0 + 0 + (-767*z + 127*z + 64*z)*(z - 2*z + 2*z). -577*z**2 Expand (-g + 5*g - 2*g)*(1362*g - 1362*g - g**3 - 21*g**2) + (g**2 - 2 + 2)*(-3*g**2 - g**2 + g**2). -5*g**4 - 42*g**3 Expand (-12 + 1 - 9)*(-8*x**3 + 19*x**2 + 1 - 21*x**2 + 58*x**3). -1000*x**3 + 40*x**2 - 20 Expand (3*n**3 - 5*n*...
{ "pile_set_name": "DM Mathematics" }
be (-1)/3 + (-39)/(-9). Suppose -14 = -z*i + 2. Suppose -n + 2*n = i. Solve w + n = -w for w. -2 Suppose 9 = -11*q + 14*q, 0 = -f + 5*q. Solve f = b + 16 for b. -1 Let b be (-1)/((1/14)/1). Suppose -11 = 3*x + 25. Let p = x - b. Solve 0 = 5*c + 7 - p for c. -1 Let a(j) = -j**3 - 6*j**2 + 8*j - 4. Let h be a(-7). Let b ...
{ "pile_set_name": "DM Mathematics" }
en 40 is divided by 22? 18 Calculate the remainder when 765 is divided by 18. 9 What is the remainder when 495 is divided by 67? 26 What is the remainder when 45 is divided by 2? 1 Calculate the remainder when 5711 is divided by 197. 195 What is the remainder when 133 is divided by 45? 43 Calculate the remainder when 9...
{ "pile_set_name": "DM Mathematics" }
38*g - 2974*g - 18*g**2 - 15026 - 1301980 + 197998 + 536*g = 0. What is g? -748/3 Suppose -a = -97 + 81. Let -8*l**2 + 10*l**3 - 6*l**2 - 6*l**3 - a - 10*l**2 + 36*l = 0. What is l? 1, 4 Let h(j) be the first derivative of -529*j**3 + 46*j**2 - 4*j/3 - 751. Factor h(n). -(69*n - 2)**2/3 Let n(c) be the third derivative...
{ "pile_set_name": "DM Mathematics" }
(7))))*-3)**2 + -5. -1824*sqrt(17)/5 + 48068/25 Simplify -4*(-2*(sqrt(891) + 2 + 5 - sqrt(891))**2 + 4)*4 + -1. 1503 Simplify -1*(3*(sqrt(175)*-1 + sqrt(175)) + sqrt(175) + 1 + (sqrt(175) - (sqrt(175) - ((sqrt(175)*3 - sqrt(175)) + -5)))*-1)**2. -211 + 60*sqrt(7) Simplify -3*sqrt(612) + 1 + (3*sqrt(612) + -4)**2 - (-2 ...
{ "pile_set_name": "DM Mathematics" }
he first derivative of v(s). What is the units digit of a(-11)? 0 Suppose -3*r + 0*d + 3 = 3*d, 3*r + 2*d = 6. Let h be (-1)/((-1)/8) - r. Suppose h*b - b = 3*a + 33, -5*b - a = -73. What is the units digit of b? 4 What is the units digit of (-74)/481 - (-31620)/26? 6 Suppose i - 475 = -0*i - 2*v, -3*i - 2*v = -1437. W...
{ "pile_set_name": "DM Mathematics" }
(b) 0.2 (c) i c Let v = -26.4 + 26. Let x be (1/(-8))/((-3)/(-4)). Let i = 870 - 865. What is the second smallest value in i, v, x? x Let j = -3.16 - 0.3. Let t = j + 3.46. What is the smallest value in -2/7, t, -61? -61 Let j = -10691 - -10689. Let v = 6.9 - 7.2. Which is the second smallest value? (a) -24.3 (b) j...
{ "pile_set_name": "DM Mathematics" }
= -g*h + 2 - 0 for h. 1 Let l be (126/28)/(-9) - 1/(-2). Solve l = -12*n + n for n. 0 Suppose -2*i + 6 = -5*i. Let f be 1*(i + (0 - (-5 + 3))). Suppose k = -2*g + 11, -5*k = 5*g - 0*g - 30. Solve f*a + g = a for a. 5 Let s = -58 - -84. Let t be s + (-9)/3 - -2. Let u(d) = d**3 + 10*d**2 + 9*d + 6. Let r be u(-9). Solv...
{ "pile_set_name": "DM Mathematics" }
6052567 What are the prime factors of 8598126? 2, 3, 1433021 List the prime factors of 1825448. 2, 228181 List the prime factors of 1536338. 2, 768169 List the prime factors of 172684. 2, 23, 1877 List the prime factors of 177643. 401, 443 List the prime factors of 1167502. 2, 7, 89, 937 What are the prime factors of ...
{ "pile_set_name": "DM Mathematics" }
2, 5, 17 List the prime factors of 793. 13, 61 What are the prime factors of 8092? 2, 7, 17 What are the prime factors of 103? 103 What are the prime factors of 1104? 2, 3, 23 List the prime factors of 1084. 2, 271 List the prime factors of 128. 2 List the prime factors of 6465. 3, 5, 431 What are the prime factors of...
{ "pile_set_name": "DM Mathematics" }
t integer? 2 What is the square root of 53673 to the nearest integer? 232 What is 8800 to the power of 1/5, to the nearest integer? 6 What is the seventh root of 10951 to the nearest integer? 4 What is the cube root of 1036 to the nearest integer? 10 What is the seventh root of 71039 to the nearest integer? 5 What is t...
{ "pile_set_name": "DM Mathematics" }
55, 4*q - 4*u = u - 44. Sort -5, -3, q in descending order. -3, -5, q Let h = 46 + -51. Sort -0.17, h, -1/3 in ascending order. h, -1/3, -0.17 Suppose 2*d - d + 1 = 0. Suppose -4*c = 2*n - 12, -4*n + 2*c - 26 + 0 = 0. Let b be n - (-9)/((-135)/(-66)). Put 0.1, b, d in decreasing order. b, 0.1, d Let n = -0.8 + 0.8. So...
{ "pile_set_name": "DM Mathematics" }
thout replacement from {d: 2, v: 8, y: 2, k: 1}. 1/286 Four letters picked without replacement from wwwwwwwwwwwwwwwwws. Give prob of picking 1 s and 3 w. 2/9 Four letters picked without replacement from lllll. Give prob of picking 4 l. 1 Two letters picked without replacement from {v: 1, x: 3, d: 1, z: 2, s: 3, t: 2}. ...
{ "pile_set_name": "DM Mathematics" }
= a**2 - 4*a - 6. Let j be s(5). Suppose g + 22 = -5*x, -2*g - 4 = 4*x - 2*x. Sort j, -3, g. -3, j, g Suppose 2*r - 2*v = -0*v + 66, -2*r - 2*v = -58. Suppose -4*t + 17 = -r. Suppose 2*x + 15 = -x, -t = -2*y + 4*x. Sort 2/7, 3/7, y. y, 2/7, 3/7 Let i be (2 - (3 + -1))/2. Suppose -2*z - 12 = -2*q - q, -q - 4*z - 10 = i...
{ "pile_set_name": "DM Mathematics" }
2/z - 0). Which is the biggest value? (a) u (b) -1 (c) f a Let t be ((-16)/(-30))/(4/(-6)). Let j = 80821/5 - 16112. Let x = j - 52. Which is the second smallest value? (a) x (b) -2/9 (c) t b Let g = 15.5 - 16. What is the third smallest value in 5, g, 3/2? 5 Let f = 0 + 0. Let j be 6/(-1)*1/3. Let w be (-2 + 1)/...
{ "pile_set_name": "DM Mathematics" }
t is the biggest value in 0.1, 5/4, 0.06, 6, -3? 6 Which is the fourth biggest value? (a) 0 (b) 41 (c) -3/7 (d) 2 c Which is the third smallest value? (a) -0.5 (b) -1/7 (c) 3/8 c What is the smallest value in -4, 0.34, 5? -4 Which is the smallest value? (a) 2/9 (b) 1/2 (c) 5 (d) -14576 d What is the third sm...
{ "pile_set_name": "DM Mathematics" }
housands digit of 399244136? 4 What is the millions digit of 23438183? 3 What is the thousands digit of 63551807? 1 What is the millions digit of 108010933? 8 What is the units digit of 6358417429? 9 What is the tens digit of 558529049? 4 What is the hundred thousands digit of 2916916839? 9 What is the hundreds digit o...
{ "pile_set_name": "DM Mathematics" }
he hundreds digit of 34740939? 9 What is the millions digit of 17608427? 7 What is the tens digit of 2403168670? 7 What is the hundred thousands digit of 466230556? 2 What is the tens digit of 265926501? 0 What is the thousands digit of 1266192290? 2 What is the billions digit of 2426580031? 2 What is the hundreds digi...
{ "pile_set_name": "DM Mathematics" }
. Let w(l) = l. Let m(p) = 2*p. Let c(s) = -m(s) + 3*w(s). Determine c(r(x)). 11*x Let o(x) = 2*x. Let s(t) be the first derivative of -t**3/3 - 43*t**2 + 116. Calculate s(o(m)). -4*m**2 - 172*m Let c(s) = -161560*s + 2. Let l(o) = -4*o. What is c(l(f))? 646240*f + 2 Let v(d) = -7*d**2. Let z(s) be the first derivative...
{ "pile_set_name": "DM Mathematics" }
-3 = 3*n, -4*p - k*n - 8 = 4 for p. -2 Suppose -11*a = -15*a + 20. Let d = -34 - -37. Solve 0 = -4*y + 5*m + 25, a*y = -5*m + d + 17 for y. 5 Let d be (-396)/(-84) - ((-18)/21)/3. Solve -5*l = -d - 0, 4*j + 7 = 3*l for j. -1 Suppose 0 = -4*b - i + 140, 7*i + 4 = 6*i. Suppose z + b = 10*z. Solve 4*c - 4 = -4*g, -3*c + 5...
{ "pile_set_name": "DM Mathematics" }
4*y(o). -5*o**3 + o**2 - o Let f(j) = -296*j - 597. Let a be f(-2). Let y(r) = 9*r**2 + 2*r - 4. Let c(z) = 17*z**2 + 3*z - 7. Determine a*y(d) + 3*c(d). 6*d**2 - d - 1 Let h(o) = -140*o**2 + 23*o + 8. Let b(z) = 210*z**2 - 36*z - 13. What is 5*b(d) + 8*h(d)? -70*d**2 + 4*d - 1 Let j(y) = y + 33. Let c(v) = 7*v - 15. ...
{ "pile_set_name": "DM Mathematics" }
g - 22*c + 17 + 533 for g. 0 Solve 13*n - 307 = 5*c + 23, 4*c + 54 = 2*n for c. -1 Solve -7654*a + 7655*a - 5*q + 29 = 0, -25*a + 5*q = 605 for a. -24 Solve -6*h - 34*s + 13*s = -19*s + 396, -266 = 4*h + 2*s for h. -65 Solve 4*j = -3*l - 133, -j = -15*l - 3069 + 3181 for j. -37 Solve 9*u = 2*x + 10*u - 7, x + 22*u = 1...
{ "pile_set_name": "DM Mathematics" }
mmon divisor of 121 and s? 11 Suppose -2*h - 19 = -3*q - 70, 53 = 2*h - q. Calculate the highest common divisor of h and 36. 9 Suppose 2*s = -5*f + 630, 5*f - s = 2*s + 605. What is the highest common divisor of f and 93? 31 Let j be (-5)/30*3*0. Suppose -h + 9 = -q, j = -2*h + q - 2 + 23. Let x be 0 + (-1)/((-1)/4). W...
{ "pile_set_name": "DM Mathematics" }
ut replacement from bmsztsmbbrsrrts. What is prob of picking 1 z, 1 t, and 1 b? 6/455 Three letters picked without replacement from auuuauaauuu. What is prob of picking 3 u? 7/33 Calculate prob of picking 3 j and 1 i when four letters picked without replacement from {j: 3, i: 15}. 1/204 Calculate prob of picking 2 y wh...
{ "pile_set_name": "DM Mathematics" }
, 5175, 9363, 14631, 20979, 28407? 36915 What comes next: -802432569, -1604865141, -2407297713, -3209730285? -4012162857 What comes next: 5115, 24960, 44805, 64650? 84495 What is next in -111490, -111541, -111592, -111643, -111694, -111745? -111796 What is the next term in 223892, 447790, 671708, 895646? 1119604 What i...
{ "pile_set_name": "DM Mathematics" }
0? -16000000 Let z = -234.99415 - -235. Round z to 4 dps. 0.0059 Suppose s + 103370 = 473370. What is s rounded to the nearest one hundred thousand? 400000 Let p = 1.964 - 1.8753. Let t = p - 0.09. Round t to 3 dps. -0.001 Let z(r) = 9900001*r**3 + 1. Suppose 0 + 6 = 3*f. Suppose f*h - 4 = -6. Let a be z(h). Round a to...
{ "pile_set_name": "DM Mathematics" }
3? True Is -3 greater than 13182674? False Is 156619744 < -1? False Is -258700 greater than or equal to -1034803/4? True Is -868866 less than or equal to -868864? True Which is bigger: 4548764 or 4548803? 4548803 Which is smaller: -1 or -3/125299013? -1 Which is smaller: -1 or -131/801413? -1 Which is greater: 3/7 or -...
{ "pile_set_name": "DM Mathematics" }
))/(-2312)*-17? -3/17 What is ((-16)/(-30))/((-521)/(1297290/332))? -4 Calculate (-1808)/9831*-29*1/((-16)/(-2)). 2/3 What is 129/(-24510)*(-8)/1*10/(-4)? -2/19 Calculate ((-204)/595)/((-1184)/518). 3/20 Calculate 11880/(-346896)*(-4)/(-5). -2/73 Calculate ((16/((-2240)/84))/((-4)/(-52)))/(7/105). -117 What is the valu...
{ "pile_set_name": "DM Mathematics" }
nd 8830000 to the nearest 1000000. 9000000 Round -181800000 to the nearest one million. -182000000 Round -0.0001374 to five dps. -0.00014 Round -0.0004026 to 5 dps. -0.0004 What is -128.4 rounded to the nearest ten? -130 What is -0.00016263 rounded to five decimal places? -0.00016 What is -0.000238 rounded to four dps?...
{ "pile_set_name": "DM Mathematics" }
value? (a) -3/7 (b) 2/5 (c) 3/28 (d) -4 a Which is the fourth biggest value? (a) 1/5 (b) -1/4 (c) -2 (d) 0.31 (e) -3/11 e What is the second biggest value in 2/9, 6, 5, -4/5? 5 Which is the smallest value? (a) -0.1 (b) -4553 (c) -2/5 b What is the smallest value in -304, -4/15, 2/5? -304 Which is the third...
{ "pile_set_name": "DM Mathematics" }
5). Let h = 11 + -19. Let w = i + h. Is 4 a factor of w? True Suppose 5*t + 3*l + 4 = 0, l + 3*l + 14 = 2*t. Suppose s = t + 10. Is 11 a factor of s? True Let y = 8 + -4. Let i = 0 + y. Suppose 3*n = 0, -6*m + m = i*n - 15. Does 3 divide m? True Let m(d) = 3*d**3 + 2*d**2 - d. Let i be m(1). Suppose -n = p - i*p - 16, ...
{ "pile_set_name": "DM Mathematics" }
u in increasing order. u, 2, 10 Let l = 287/62 + -128/31. Put 287, l, 2/5 in descending order. 287, l, 2/5 Suppose 5*k + 88 = -4*i, 15*k = 18*k - 3*i + 42. Sort 3, -6, k in descending order. 3, -6, k Let z(w) = -w**2 + 2*w + 44. Let v be z(-6). Let p be 66/(-24) - (-6)/(-24). Put p, 5, -1, v in ascending order. v, p, ...
{ "pile_set_name": "DM Mathematics" }
allest common multiple of 10 and v(-8). 110 Suppose o = 5*a + 1, -2*o - 4*a + 8*a = -8. Calculate the least common multiple of o and 562. 1686 Let c be -3*554 - (-5 - -8). Calculate the common denominator of (-1)/(-4) + c/(-300) and -37/7. 35 What is the smallest common multiple of 384 and (120/65)/((-48)/(-312))? 384 ...
{ "pile_set_name": "DM Mathematics" }
- 5)*(0 + 2 + 0) + 3 + 3 - 4) + 23*t**3 + 19*t**3 - 67*t**3. -37*t**3 Expand (1 + 1 - 4)*(-z + 0*z + 0*z)*(3 - 1 + 0)*(1 + 1 - 9)*(-37 - 236 - 284). 15596*z Expand (3*r**4 + 0*r**2 + 0*r**2)*(-2*r - r + 0*r) + 359*r + 40*r**5 - 359*r + 0*r**5 - 2*r**5 + 3*r**5 + 2*r**5 + 0*r**5 + 8*r**5. 42*r**5 Expand (56 + 71*j - 56)...
{ "pile_set_name": "DM Mathematics" }
q) = -13 - 326*q + 11 - 6. Let w be x(-8). What is w rounded to the nearest ten thousand? 0 Suppose -21*p + p + 387104640 = 0. Let j = p - 35755232. What is j rounded to the nearest one million? -16000000 Suppose 0 = 19*d + 93349351 + 225719587. Let n = d + 9203102. Round n to the nearest one hundred thousand. -7600000...
{ "pile_set_name": "DM Mathematics" }
546, 9840, 30326, 68452, 129666? 908*n**3 + 648*n**2 - 6*n - 4 What is the b'th term of -8440039, -16880028, -25320017, -33760006? -8439989*b - 50 What is the b'th term of 1287264, 1287217, 1287170, 1287123? -47*b + 1287311 What is the k'th term of -122838, -248634, -374430, -500226, -626022? -125796*k + 2958 What is t...
{ "pile_set_name": "DM Mathematics" }
)? False Let n = -217 - -363. Does 19 divide n? False Let m be (1*-1)/((-6)/(-72)). Let l = 13 - m. Suppose -2*s + 6*t + l = 3*t, 0 = -4*s + 4*t + 56. Is 7 a factor of s? False Let v be 1857/12 + (-1)/(-4). Suppose -2*g + 50 = m - 3*g, 3*m - 4*g = v. Does 15 divide m? True Does 7 divide 41/2 - 1/(-2)? True Let b be 128...
{ "pile_set_name": "DM Mathematics" }
= -3*t**2 + 2*t - 2. Let d be r(-3). Let x(a) = 7*a + 35. Let v(c) = d*j(c) + x(c). Determine z(v(h)). 49*h**2 Let k(t) = 31*t**2. Let h(x) = -86*x**2. Calculate k(h(n)). 229276*n**4 Let o(a) be the second derivative of -a**5/8 - 7*a**3/6 - 9*a. Let z(l) be the second derivative of o(l). Let b(r) = -r. What is z(b(j))?...
{ "pile_set_name": "DM Mathematics" }
the closest to -0.1? (a) o (b) 0.4 (c) p c Let o = 0.02 - 0.22. Suppose 2*f - 7*f + 25*f = -80. Which is the nearest to 0.01? (a) 2/9 (b) o (c) f (d) -1/30 d Let k be -1 + (5/(-20) - 6/(-8)). Which is the nearest to k? (a) -1/6 (b) -3/5 (c) -0.3 (d) -81 b Suppose -16 = 5*u - 298*i + 301*i, -4*u - 3*i - 14 =...
{ "pile_set_name": "DM Mathematics" }
1 or 10295? 10301 Is 84/53 at least -950? True Which is smaller: 9/1078 or 18? 9/1078 Which is smaller: -92 or -402? -402 Is -34697 < -34697? False Which is bigger: 3/650062 or -1? 3/650062 Which is greater: -142267 or -142264? -142264 Which is greater: 984233 or 984232? 984233 Is 0.1 smaller than 1894.86? True Which i...
{ "pile_set_name": "DM Mathematics" }