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Simplify ((s/(s**(-2/5)/s))**(2/67)/((s**5/s)/(s**2/s)))/((s**(-3)*s*s*s)**(-2/61))**(3/20) assuming s is positive. s**(-981/335) Simplify (t/(t**(1/36)/t)*t)/t**24*(t*t**(-12/13))/t**(-10) assuming t is positive. t**(-5125/468) Simplify (((f*f/(f/f**(-2/11)))**(-39)*((f*f*f**2)/f)**(-1/12))**(-45))**(-7/5) assuming f...
{ "pile_set_name": "DM Mathematics" }
-30, -10/7, 1 Factor 18*c**3 - 1894506*c**2/5 + 1993986510*c - 132930750. 6*(c - 10525)**2*(15*c - 1)/5 Let 45*k**2/4 - 2841*k/4 + 471/2 = 0. What is k? 1/3, 314/5 Suppose 3*l**3 - 3720*l**2 + 889377*l + 893100 = 0. What is l? -1, 325, 916 Let o**5/7 + 88*o**4/7 + 1490*o**3/7 + 5456*o**2/7 - 1005*o = 0. Calculate o. -...
{ "pile_set_name": "DM Mathematics" }
16447 to the nearest integer? 128 What is 15445 to the power of 1/3, to the nearest integer? 25 What is 111992 to the power of 1/2, to the nearest integer? 335 What is 1904 to the power of 1/10, to the nearest integer? 2 What is 12543 to the power of 1/4, to the nearest integer? 11 What is the tenth root of 52631 to t...
{ "pile_set_name": "DM Mathematics" }
+ 1 + 4*(sqrt(80) + -2 - sqrt(80) - sqrt(80))))**2. 4704*sqrt(5) + 13921 Simplify 1 + (-2 + sqrt(432) + sqrt(432) + -3 - sqrt(432) - -3*2*sqrt(363)). -4 + 78*sqrt(3) Simplify (-5 + (-2*sqrt(704)*3 - -4*(1 + sqrt(704))**2))*-1*-2. 32*sqrt(11) + 5630 Simplify 6*(-2*(sqrt(2448) + sqrt(2448) + sqrt(2448)*1*6))**2. 3760128 ...
{ "pile_set_name": "DM Mathematics" }
d 143/138? 3588 Suppose -40*l = -41*l - 15. Let r = -8 - l. Let n(y) = 8*y - 1. Calculate the lowest common multiple of r and n(1). 7 Suppose -39*t + 16*t = -110*t + 783. Suppose l + 9 = -5*z, z = -5*l + 29 - 170. Let r = -8 - l. What is the smallest common multiple of t and r? 63 Suppose 2*v - 76 = s + 158, -4*v - 4*s...
{ "pile_set_name": "DM Mathematics" }
multiple of 2303235 and 255915? 2303235 Find the common denominator of -10/207 and -49/2944. 26496 Calculate the smallest common multiple of 295865 and 15. 887595 What is the smallest common multiple of 32 and 1470380? 11763040 Calculate the common denominator of 133/673986 and -113/6. 673986 What is the smallest commo...
{ "pile_set_name": "DM Mathematics" }
. Let l be o(-4). Let v(t) = t**3 - 3*t**2 + t + 2. Let n be v(l). Solve 25 = -n*d, 2*d = -q - d - 16 for q. -1 Let j(r) = -r**3 - 35*r**2 + 37*r + 39. Suppose 4*i = -2*p - 52, -5*p + 0*i + 4*i = 200. Let u be j(p). Solve 0 = u*h + 15, 4*c - 36 + 11 = h for c. 5 Suppose 4*i + 3*f + 11 - 43 = 0, 2*i = -4*f + 26. Solve 0...
{ "pile_set_name": "DM Mathematics" }
5*o - f, 4*o + n - 926 - 2147 = 0. Is o a prime number? True Is (120/18 + -7)/(2/(-20334)) a prime number? True Let x(s) = -3*s + 12. Let a be x(5). Is (-445 - 2)/(3/(a/1)) a composite number? True Let i(w) be the second derivative of w**4/6 + 2*w**3/3 + 5*w**2/2 + w. Let d be i(-7). Let r = d - 53. Is r a prime numbe...
{ "pile_set_name": "DM Mathematics" }
12. Solve 25 = s*w + 5 for w. 5 Suppose -j = k - 6, 2*j - 5*j + 20 = 4*k. Solve -7*b = -k*b + 15 for b. -3 Suppose -2*a - 4*c - 16 = -0*a, 5*a - 5*c = 35. Suppose 3*g + 2*o = 6, 3*g + o + a*o - 9 = 0. Suppose 3*b = 8*b - 20. Solve -v + b*v - 15 = g for v. 5 Let y(d) be the first derivative of d**2/2 - 6*d + 3. Let q be...
{ "pile_set_name": "DM Mathematics" }
0)/24180 1/31 What is ((-4160)/600)/(-26)*(-12)/(-16)? 1/5 Evaluate (-3)/(-7)*-150*217/(-732375). 2/105 What is -4*85/(-160) + (78 - 34)/(-44)? 9/8 (-14)/3 + 2 - (-32340)/6930 2 What is (-24)/(-40)*858/(-234) - 0? -11/5 Evaluate (-931)/42 + -6 + (-10)/(-4)*(-3220)/(-12075). -55/2 What is the value of (-1 + 0 - -9)/(277...
{ "pile_set_name": "DM Mathematics" }
g. What is prob of sequence vguv? 1/728 Calculate prob of sequence pcc when three letters picked without replacement from {c: 3, p: 11}. 11/364 Two letters picked without replacement from {w: 1, j: 3, k: 5, i: 1, v: 3}. Give prob of sequence vv. 1/26 Calculate prob of sequence txt when three letters picked without repl...
{ "pile_set_name": "DM Mathematics" }
rt(252) + -1*sqrt(252) - (sqrt(700) - sqrt(700)*-1))*-6 + 1. -3*sqrt(5)/14 + 1 Simplify (sqrt(300) - -2*sqrt(300))/(sqrt(54)*-1) - (sqrt(50) + -3 - -3*sqrt(8)/sqrt(4)). -13*sqrt(2) + 3 Simplify 3*(5*(0 + sqrt(475)) + -3 + -2*sqrt(475))**2*2*4*-5. -514080 + 10800*sqrt(19) Simplify (-4*(sqrt(130) - (sqrt(130) - (sqrt(130...
{ "pile_set_name": "DM Mathematics" }
5 Suppose -25 = -5*c, -h = -c + 3 - 2. Suppose 4*l + 3*q + 2*q = 57, 3*q = h*l - 17. Solve 0 = 3*m - m - l for m. 4 Suppose 4*j = 21 - 5. Let c be 8/j - (-1 - -1). Solve -c*r + r = 1 for r. -1 Suppose 4*h + 212 = 4*g, h + 2*h = 2*g - 101. Let v be g/5 - (-14)/35. Let z = v + 8. Solve 4*j = -0*j + z for j. 5 Suppose 4 =...
{ "pile_set_name": "DM Mathematics" }
+ i*b wrt b. 14 Let n(s) be the second derivative of s**8/48 + s**5/20 + 9*s**2/2 + 3*s. Let d(x) be the first derivative of n(x). Find the third derivative of d(t) wrt t. 420*t**2 Let q(i) be the third derivative of i**7/840 - i**5/60 - i**3/6 + 4*i**2. Let r(j) be the first derivative of q(j). Find the second deriva...
{ "pile_set_name": "DM Mathematics" }
Solve -4*z + d = -14, -l*d = -d - 8 for z. 4 Suppose 10 = 4*c - 2. Suppose -c*q + 4*q = 0. Let z be 10/(0 - (2 + -4)). Solve q = 3*u - 12, 2*o + 0*u = z*u - 12 for o. 4 Suppose -16*f + 13*f = -15. Solve -2*x + 12 = 4*l - 0*x, 2*l + f*x - 14 = 0 for l. 2 Suppose -8*w = -7*w - 17. Suppose -2*p - w = 4*r - r, 0 = -5*p + 5...
{ "pile_set_name": "DM Mathematics" }
08*m + 12 Find the second derivative of 8464072*b**5 - 7461694*b. 169281440*b**3 Find the second derivative of -481*v**3 - 5635*v**2 - 39630781*v. -2886*v - 11270 What is the second derivative of 14*k**3*l - 6*k**3 - 291*k**2*l + 43*k**2 - 1561*k*l - 3*k - 2*l + 2 wrt k? 84*k*l - 36*k - 582*l + 86 What is the third der...
{ "pile_set_name": "DM Mathematics" }
1031 - 0.4? -11031.4 What is -0.1 + 978301? 978300.9 What is the distance between -4 and -34.5? 30.5 What is the difference between -229002 and -0.01? 229001.99 What is 548 plus 0.1? 548.1 What is 5 minus -2.83? 7.83 Sum 51798 and 0.05. 51798.05 What is 0.3 + -1018? -1017.7 Add -0.0835 and 0.04. -0.0435 Calculate 0.1 -...
{ "pile_set_name": "DM Mathematics" }
32)*(d + 391)/9 Find k, given that 3*k**3/4 - 7683*k**2/2 - 7686*k = 0. -2, 0, 5124 Solve 2*z**2/19 + 442*z/19 + 14760/19 = 0 for z. -180, -41 Factor 9*r**3 - 5070*r**2 + 712332*r + 477144. 3*(r - 282)**2*(3*r + 2) Let 4*f**5 + 1550532*f**4 - 3101076*f**3 + 1550540*f**2 = 0. What is f? -387635, 0, 1 Factor 2*w**3 - 594...
{ "pile_set_name": "DM Mathematics" }
s: 5, a: 2, i: 3, l: 1, h: 1}? 1/143 What is prob of picking 1 e and 1 l when two letters picked without replacement from blelp? 1/5 Four letters picked without replacement from qqqq. Give prob of picking 4 q. 1 Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {f: 3, b: 2, g: 1, i:...
{ "pile_set_name": "DM Mathematics" }
)). -1/4 (32/3168*-3)/(((-1)/(-6))/1) -2/11 Evaluate 1/((-4)/6*(-10)/(-2040)*-18). 17 What is the value of 203/290*(-6)/(-168)*10? 1/4 ((2592/156)/18)/((-9)/(-78)) 8 ((-10)/(-9))/(85/102)*3/(-10) -2/5 What is the value of 1/((-1)/(-8)*(-64)/16)? -2 ((-340)/(-3570))/((-2)/7) -1/3 Evaluate -3*5/(-385)*119/51. 1/11 91/208...
{ "pile_set_name": "DM Mathematics" }
c(v) wrt v. -246*v**2 - 2*v Let c(x) be the second derivative of 523*x**7/14 - x**3/3 + 35*x**2/2 - 149*x + 1. What is the second derivative of c(z) wrt z? 31380*z**3 Let z(b) = -2663*b**3 + 56*b**2 + 29*b + 10. Let l(x) = 2662*x**3 - 52*x**2 - 30*x - 8. Let f(k) = 5*l(k) + 4*z(k). Find the third derivative of f(o) wrt...
{ "pile_set_name": "DM Mathematics" }
*2 + v and give g. -660 Rearrange (-21 - 311*k**2 + 21)*((0*k - 6*k + 4*k)*(-3*k + 6*k - k) - k**2 + 12*k**2 + 8*k**2) to f*k**4 + d + y*k**2 + l*k + h*k**3 and give f. -4665 Rearrange 37 - 78 + 2092*x + 41 to f*x + y and give f. 2092 Express -6*c**3 - 14*c - c**2 - 34 + 74 - 41 + c**4 + 0*c**2 as m*c + x*c**3 + s*c**4...
{ "pile_set_name": "DM Mathematics" }
115.849. Let q = i + u. What is q rounded to two decimal places? 0.1 Let g = -340 + 370. Let a = 32.444 + -0.244. Let r = g - a. Round r to zero dps. -2 Let s = -412944813.0998338 + 412944737. Let t = s + 76.1. What is t rounded to 5 dps? 0.00017 Suppose 0 = -3*i + 204259964 - 40472207. Suppose 47404081 = 4*q - i. Sup...
{ "pile_set_name": "DM Mathematics" }
(b) 3 (c) l a Let u(j) = 5*j + 6. Let v be u(-1). Which is the fourth biggest value? (a) 0 (b) v (c) 3 (d) 4 a Let l = 3 - 1. Let j = 6 - l. Let d be 0 - (-12)/(-45)*3. Which is the second smallest value? (a) d (b) j (c) -3 a Let t = -15.7 + -3.3. Let l = t - -18. Which is the third biggest value? (a) -3/7 (...
{ "pile_set_name": "DM Mathematics" }
b Let z = -12.7 - -13. Which is the closest to -1/3? (a) -1 (b) z (c) 4 b Let x be (16/(-20))/(28/(-10)). Which is the closest to x? (a) -2/11 (b) 0.03 (c) -2/3 b Let i = -25 + 20. What is the closest to 0 in 0.4, i, -3? 0.4 Suppose q + 3*z - 1 = -0*q, 9 = -5*q - z. Let p(f) = -f**2 - 5*f. Let i be p(-4). Which i...
{ "pile_set_name": "DM Mathematics" }
ase 16, what is -1 - -1ac6a7? 1ac6a6 In base 6, what is 204535523 + -30? 204535453 In base 4, what is 20 + -303322210? -303322130 In base 11, what is -523a781 - -9? -523a773 In base 3, what is 2012 + 1102022001012? 1102022010101 In base 9, what is 145 + -525558? -525413 In base 7, what is -2 - 1234650651? -1234650653 I...
{ "pile_set_name": "DM Mathematics" }
y**4 Let w(f) = 146*f**2 - 5*f. Let i(t) = -145*t**2 + 4*t. Let d(z) = -5*i(z) - 4*w(z). Let n(a) = -6*a**2. Calculate d(n(l)). 5076*l**4 Let c(b) = -71*b. Let m(h) = -7*h**2 + 9*h. Let d(o) = -2*o**2 + 2*o. Let n(q) = -9*d(q) + 2*m(q). Determine n(c(w)). 20164*w**2 Let a(q) = 328*q**2 + 17*q - 4*q - 13*q. Let p(h) = -...
{ "pile_set_name": "DM Mathematics" }
+ 7*p. Find the third derivative of v(r) wrt r. -30 Let t = -3 + 3. Suppose -x - x = t. What is the first derivative of -4 + x*y**2 - 4*y**3 + 3 + 0*y**2 wrt y? -12*y**2 Let q(a) = a - 7. Let b be q(6). Let g be (0 - (0 - -2))*b. Find the second derivative of -2 - 3*f**3 + 2 - g*f + 0 wrt f. -18*f Suppose -5*g = -4*q ...
{ "pile_set_name": "DM Mathematics" }
ked without replacement from wdwaxwgxaabawxw. Give prob of sequence wxa. 2/91 Three letters picked without replacement from cxlccgccxtgccclcxtcg. Give prob of sequence ltl. 1/1710 Two letters picked without replacement from {z: 1, d: 5, j: 1, c: 5}. Give prob of sequence jz. 1/132 Calculate prob of sequence ptt when th...
{ "pile_set_name": "DM Mathematics" }
-154*m + 159*m = -5*d + 2545, -d + 3054 = 6*m. Calculate the remainder when m is divided by 8. 5 Let a = 144 + 136. Suppose 98*n - 102*n - 352 = 0. Let f = n + a. What is the remainder when f is divided by 39? 36 Calculate the remainder when (2 - 3*85/30)*-34 is divided by 52. 13 What is the remainder when ((-2*1118)/...
{ "pile_set_name": "DM Mathematics" }
*2 + z + 1. Let t(k) = -5*k**2 + 8*k + 6. Let q be 21/(-15) - (-8)/20. What is q*t(o) + 6*j(o)? -o**2 - 2*o Let u(c) = -1. Let p(v) = -21*v + 3. Calculate -p(o) - 4*u(o). 21*o + 1 Let h(w) = w - 1. Let k(g) = -12*g + 6. Give -18*h(p) - 3*k(p). 18*p Let x(z) = -2 - 3*z**2 - 3 + 2*z + 3 - 4*z**2. Let q(k) = k. Let a be q...
{ "pile_set_name": "DM Mathematics" }
4*n - b, 105 = 3*n - 0*b - 2*b. Is n composite? True Let m(z) = 32*z**2 - z - 4. Let b be m(7). Suppose -b = -4*d + 2*j - 41, 2*d - 758 = -j. Is d a composite number? False Suppose -3*j = -6*j + 399. Is j prime? False Let u(d) be the first derivative of d**3/3 + 3*d**2/2 + 4*d + 2. Let i be u(-3). Suppose 3*t + c - 31 ...
{ "pile_set_name": "DM Mathematics" }
i**2. Determine v(z(g)). -2*g**2 - 32 Let t(d) be the third derivative of d**6/120 - 5*d**3/2 + d**2 - 2. Let i(l) be the first derivative of t(l). Let c(w) = 4*w**2. What is c(i(f))? 36*f**4 Let c(g) be the second derivative of -g**4/3 + 5325*g. Let k(i) = 728*i. What is c(k(q))? -2119936*q**2 Let y(f) = -10*f - 133. ...
{ "pile_set_name": "DM Mathematics" }
+ (3 + sqrt(17))*-6))**2. 720*sqrt(17) + 2996 Simplify ((sqrt(14) + sqrt(28)/sqrt(98))/(sqrt(2) + (sqrt(16)/sqrt(2))/sqrt(4)))**2. 16/7 Simplify -1 + sqrt(11) + sqrt(539)*2. -1 + 15*sqrt(11) Simplify ((sqrt(441)/sqrt(7)*-3)/sqrt(9))**2*2. 126 Simplify 3*(-2*sqrt(1331))**2*-5. -79860 Simplify sqrt(539)*2 + 3. 3 + 14*sq...
{ "pile_set_name": "DM Mathematics" }
arest integer? -57 What is -11.38093304 rounded to two decimal places? -11.38 Round -0.0004964650093 to six dps. -0.000496 What is 155.105305 rounded to the nearest integer? 155 What is -592.375323 rounded to the nearest one hundred? -600 Round -0.0493205306 to five dps. -0.04932 What is 0.13220437341 rounded to four d...
{ "pile_set_name": "DM Mathematics" }
160*d**3 - 12 What is the second derivative of 185*i**3*v**2 - 4*i*v - 2*v**2 + 5*v wrt i? 1110*i*v**2 Find the first derivative of -296*a**4 + 316 wrt a. -1184*a**3 What is the derivative of 68*k**2*n - 21*k**2 + 2*k*n**4 - 2*k*n wrt n? 68*k**2 + 8*k*n**3 - 2*k Find the third derivative of -403*r**6 + 2*r**4 + 2*r**3 ...
{ "pile_set_name": "DM Mathematics" }
t replacement from hhhhhhhshhhhhhh. What is prob of sequence hs? 1/15 Three letters picked without replacement from {w: 7, x: 1, b: 5}. Give prob of sequence xbw. 35/1716 What is prob of sequence aaa when three letters picked without replacement from aacictcchajcc? 1/286 Four letters picked without replacement from tzp...
{ "pile_set_name": "DM Mathematics" }
+ 1260*q*v - 245772*v**2 + 1 wrt q? -18*q*v - 20*q - v**2 + 1260*v Find the second derivative of -16*q**5 - 669*q**3 + 4*q + 14318 wrt q. -320*q**3 - 4014*q Find the second derivative of -45*f*r**2*z**2 + 32852*f*r*z**2 + 10*f*r*z - 29167*f*r + 3*f - 2*r**2*z wrt z. -90*f*r**2 + 65704*f*r Find the third derivative of ...
{ "pile_set_name": "DM Mathematics" }
ind the common denominator of v and 85/18. 72 Let n = 3 - -3. Suppose f + 2*w = -2, 2*w - 22 = -5*f - 0. What is the lowest common multiple of n and f? 6 Calculate the smallest common multiple of 45 and 1 + (-2*3/(-2) - -26). 90 Calculate the common denominator of 0 - 20/272*-10 and -109/12. 204 Let t(o) = o**2 + 4*o -...
{ "pile_set_name": "DM Mathematics" }
*p. 4*p*(p - 3)*(p - 1)**2 Factor l**2/9 - 34*l/9 - 8. (l - 36)*(l + 2)/9 Factor 3*a**2/5 - 2133*a/5 - 2136/5. 3*(a - 712)*(a + 1)/5 Factor -4*q**2 - 1120*q + 2256. -4*(q - 2)*(q + 282) What is a in 4*a**4 - 10520*a**3 + 6916900*a**2 = 0? 0, 1315 Find d such that -4*d**4/5 + 74*d**3/5 - 342*d**2/5 + 118*d/5 + 154/5 = 0...
{ "pile_set_name": "DM Mathematics" }
(l) be the second derivative of 5215*l**4/12 - l**3/6 + 1267*l**2/2 - l - 2291. What is the derivative of f(i) wrt i? 10430*i - 1 Suppose 0 = -5*w + 2*r - 628, 4*w + 0*r = 3*r - 501. Let o = -103 - w. Find the second derivative of o*z**3 + 8*z - 2*z**4 - 23*z**3 + 14*z wrt z. -24*z**2 Suppose 0 = 4*n + 2*o - 16, 3*o + ...
{ "pile_set_name": "DM Mathematics" }
the greatest common divisor of 200529 and 1569267? 189 What is the highest common divisor of 27908 and 35084? 4 Calculate the greatest common divisor of 4657 and 549400261. 4657 Calculate the highest common factor of 30823 and 11453. 13 What is the greatest common factor of 5580048 and 336? 48 Calculate the highest com...
{ "pile_set_name": "DM Mathematics" }
-4*sqrt(88))/(1*sqrt(8)*1) + -2 + -3). -24*sqrt(11) + 30 Simplify ((1*-1*sqrt(99))/(1*sqrt(27)/sqrt(3)) - (-3*sqrt(11) + 2 - (-3 + sqrt(704) + sqrt(704))))**2. -180*sqrt(11) + 3589 Simplify -5*((-4*-3*(sqrt(20) + sqrt(20)*-3*-4 - sqrt(20)))/((sqrt(480) + sqrt(480) + -4*2*sqrt(480))/sqrt(12)))**2. -1440 Simplify ((sqrt(...
{ "pile_set_name": "DM Mathematics" }
8, -6594? -6620 What comes next: 375084, 750167, 1125250, 1500333, 1875416, 2250499? 2625582 What is next in 3909, 7817, 11731, 15651, 19577? 23509 What comes next: -8036, -8032, -8028, -8024, -8020, -8016? -8012 What is the next term in 614, 641, 682, 737? 806 What is the next term in 113, 179, 293, 455? 665 What is n...
{ "pile_set_name": "DM Mathematics" }
*r*z**3 + 1913*g**3*k*r*z**2 - 8*g**2*k*r - g**2*z + 135*g*r*z**3 + 2*k*r*z - 4*k - 2*z**3 wrt g? 90*k*r*z**3 + 11478*k*r*z**2 What is the second derivative of -153148*l*v**3 - 475*l*v + 1642*l + 5*v**4 wrt v? -918888*l*v + 60*v**2 What is the second derivative of 442785*t**2 + 43*t - 13912 wrt t? 885570 What is the th...
{ "pile_set_name": "DM Mathematics" }
y c Let x = 3 + -3.2. Let o = -43 + 46. What is the third smallest value in 1/4, x, o? o Let k = -7.6 + 7.52. What is the third smallest value in 2/5, 1/6, -3/2, k? 1/6 Let y = -1 - -0.6. Let x = -85/12 - -827/132. Let w = x - -3/44. What is the smallest value in -0.1, w, y? w Let o(z) = -2*z - 16. Let u(l) = 1. Let v...
{ "pile_set_name": "DM Mathematics" }
- 4*t**4 + 2*t**4. Let i(g) = -7*g**4 + 5*g - 7. Let y(l) = 5*b(l) + 2*i(l). What is the first derivative of y(h) wrt h? 4*h**3 Suppose 2*t = -t. Suppose -2*z = g + z - 8, -3*g + 4*z - 2 = t. What is the second derivative of 2*s**3 + g*s - 2*s**3 - 2*s**4 wrt s? -24*s**2 Let j(r) be the first derivative of 6*r**5/5 + 3...
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from eessshpppsss. 1/330 Calculate prob of sequence kbmi when four letters picked without replacement from kymlkibbmymkybiy. 9/7280 Three letters picked without replacement from nnnnnnmnnnnnnnmnnn. Give prob of sequence mnm. 1/153 Three letters picked without replacement from {k: 2, j: 1}....
{ "pile_set_name": "DM Mathematics" }
Let h = -3 + o. Suppose h = 2*t - 3*t + 30. Is t a multiple of 11? False Let w = 2 - -2. Suppose -16 = w*m - 72. Suppose -m = -4*f + 82. Is f a multiple of 9? False Let f = 55 - 2. Let c = -38 + f. Suppose 0 = 2*i + i - c. Is i a multiple of 5? True Is (-261)/6*(-6)/9 - 0 a multiple of 14? False Suppose 0 = 3*n - 3, 2...
{ "pile_set_name": "DM Mathematics" }
pose 2*y + x*s = -2*y + b, -y + 11 = 2*s. Calculate the remainder when 21 is divided by y. 10 Suppose 2*y + 1 = 3. Calculate the remainder when (-79)/2*(3 + 7)/(-5) is divided by 27 + (0 - 0/y). 25 Suppose -5*b = -5*y + 3115, 2*y - 940 = -4*b + 330. Calculate the remainder when y is divided by 90. 87 Suppose 23 = -5*o ...
{ "pile_set_name": "DM Mathematics" }
14, -4*z = o*n + z + 11. Solve 4*c + n = 13 for c. 3 Suppose g = 4*w - 0*w - 1, -3*w = -g. Suppose -2 = g*z - 4*z. Solve 3*c = -z*c - 15 for c. -3 Let z be (-5)/((-20)/12) - -1. Solve -2 = -h - z for h. -2 Let i(a) = -a**2 + 6*a - 2. Let r be i(5). Let c(s) = 5 + 2*s**2 + 2 + 6*s - r*s**2. Let z be c(7). Solve 0 = x - ...
{ "pile_set_name": "DM Mathematics" }
1 to 6 decimal places. 0.000014 Round 159748500 to the nearest one million. 160000000 What is 0.000806935 rounded to 5 dps? 0.00081 Round 0.004452453 to 3 dps. 0.004 What is 1.112089 rounded to 2 dps? 1.11 Round -268.53102 to zero dps. -269 Round 202882820 to the nearest 100000. 202900000 Round -0.1056828 to 5 dps. -0....
{ "pile_set_name": "DM Mathematics" }
(base 9) to base 13. 0 15 (base 6) to base 4 23 Convert 31 (base 9) to base 5. 103 What is -a (base 16) in base 14? -a Convert 28 (base 12) to base 14. 24 Convert -10 (base 3) to base 8. -3 What is 10 (base 8) in base 11? 8 What is 110101 (base 2) in base 10? 53 Convert 5b (base 15) to base 10. 86 -3 (base 14) to base...
{ "pile_set_name": "DM Mathematics" }
r**3 + 12*r**2 + 4. Let i be p(12). Let x(s) = -s + 8. Let h be x(i). Suppose -2*l + 3*l - 17 = -h*a, 4 = -2*a + 2*l. Which is greater: -1 or a? a Let a(n) = -3*n - 3. Let t be a(-2). Suppose 8 = -5*y - t*y. Do -5/6 and y have the same value? False Let l be (-2508)/110 - (-1)/(-5). Let m = l + 20. Does -3 = m? True Let...
{ "pile_set_name": "DM Mathematics" }
: 7}? 7/12 Three letters picked without replacement from {u: 10, h: 9}. Give prob of sequence uhh. 40/323 Four letters picked without replacement from vhthxthmxthvqtxtthv. What is prob of sequence tthm? 25/15504 What is prob of sequence jjx when three letters picked without replacement from xxxxjjxyxpyx? 7/660 What is ...
{ "pile_set_name": "DM Mathematics" }
tor of -27/11 and (-12)/(-18) - h/42? 154 Let d = -1263 - -10037/8. Let a = 206595/22 + -9389. Find the common denominator of a and d. 88 Suppose -2*b = 5*d - 60, 4*d + 4*b = d + 50. What is the least common multiple of 670 and d? 670 Let y(j) = j**2 + j - 352. Calculate the smallest common multiple of y(20) and 12. 20...
{ "pile_set_name": "DM Mathematics" }
/4? (a) -0.5 (b) d (c) 1/3 a Let j be ((-2)/(-10))/((-4)/10). Which is the nearest to j? (a) -3/4 (b) -2 (c) 2/5 a Let z = 23 - 27. What is the closest to z in 1/2, 3, 3/2? 1/2 Let p(l) = -l**3 - 3*l**2 - 4*l - 2. Suppose -4*y = -0*y + 8. Let n be p(y). Let f be n/7 + (-46)/14. What is the nearest to -1 in f, -2,...
{ "pile_set_name": "DM Mathematics" }
5)/(-10)). Is m greater than or equal to -1686? False Suppose -157*r - 198 = -151*r. Let y(h) = 6 + 8 + 47*h - 39*h. Let x be y(-6). Which is bigger: x or r? r Let j(b) = -4*b + 11. Suppose 5*x + g + 2*g = 0, 4*g + 29 = 3*x. Let l be j(x). Let c = 0.98 - 1. Which is smaller: l or c? l Let o = 4.15 + -176.15. Let c = o ...
{ "pile_set_name": "DM Mathematics" }
r of 1 and k. 1 Suppose 0 = -10*m + 9 + 21. Suppose -t + 30 = 2*j, 4*t + m*j = -2*j + 117. Suppose k = -2*k + 210. What is the highest common divisor of k and t? 14 Suppose 12*w - 20 = 16*w, -380 = -2*i - 2*w. Calculate the greatest common divisor of 975 and i. 195 Let d(u) = -5*u + 3. Let n be d(-6). Let t = -266 + 27...
{ "pile_set_name": "DM Mathematics" }
hen 379 is divided by 22? 5 Calculate the remainder when 1941 is divided by 160. 21 What is the remainder when 347 is divided by 88? 83 Calculate the remainder when 427 is divided by 86. 83 Calculate the remainder when 1461 is divided by 291. 6 What is the remainder when 2229 is divided by 9? 6 What is the remainder wh...
{ "pile_set_name": "DM Mathematics" }
- 3*d = 65. Let l(j) = -5*j**3 - 11*j**2 - 11. Give k*n(h) + q*l(h). 3*h**3 Let z(q) = 3*q**2 - 2*q - 2. Let d(g) = 54*g - 7. Determine -d(i) + z(i). 3*i**2 - 56*i + 5 Let v(u) = 14*u**3 - 2*u**2 + 14*u. Let s(k) = -532*k**3 + 77*k**2 - 532*k. What is 2*s(c) + 77*v(c)? 14*c**3 + 14*c Let h(j) = 3*j. Let t(p) be the se...
{ "pile_set_name": "DM Mathematics" }
qrt(13)*-4 + -1 - (sqrt(13) - sqrt(52)/(sqrt(12)/sqrt(3) + sqrt(4))))**2. -243/4 + 9*sqrt(13) Simplify 2*(1 + -1*1*sqrt(98)) - (2 + (-6*sqrt(12)*2)/((sqrt(72)*1)/sqrt(12))). -2*sqrt(2) Simplify (sqrt(10) + (sqrt(360)*3 - sqrt(360) - sqrt(360)))/(sqrt(4)/(sqrt(12)/sqrt(6))) - (sqrt(120)/sqrt(2)*-4)/(sqrt(108)*-4 + sqrt(...
{ "pile_set_name": "DM Mathematics" }
. s, 2, 5 Let s be 0 + (-2)/(-1) - -8. Let z be 8/(-6)*(s - 7). Sort z, -5, -1 in ascending order. -5, z, -1 Let i be (1/(-2))/((-2)/(-16)). Let d be (7 - -1)/((-2)/i). Suppose d = 2*l + 4*a, 2*l - 5*a = -l - 9. Sort l, -5, -1 in ascending order. -5, -1, l Let o(v) = v**2 - 6*v + 5. Let p be o(6). Sort 3, 9, 2, p in in...
{ "pile_set_name": "DM Mathematics" }
.3. 2.5221 0.1*22.97 2.297 Product of 2 and -346.527. -693.054 Calculate -10766227*3. -32298681 Product of -4314 and -110.4. 476265.6 Calculate -3480*-0.25. 870 Product of 34801 and 0.5. 17400.5 Calculate 8960*-10. -89600 0.3*-423.99 -127.197 3.1 * -9320 -28892 -2477*0.05 -123.85 What is the product of -8.161 and 0.08?...
{ "pile_set_name": "DM Mathematics" }
204. Does 11 divide r? False Let y = 92 + -96. Does 23 divide 1 - (-137 - -1*(6 + y))? False Let j be ((-3)/(-6))/(3/6). Let o be j/5 - (-483)/(-15). Is (o/10)/((-26)/325) a multiple of 20? True Suppose 0 = 2*j + 2*w, 5*j + w + 3 = -1. Let n be 3/((-3)/2) + (-1128)/12. Is (1/(4/n))/j a multiple of 6? True Suppose 3*t ...
{ "pile_set_name": "DM Mathematics" }
= -2.0464 - -0.0464. Let d = -5/18 + 1/2. Which is the nearest to -2? (a) s (b) 0.11 (c) d a Let f be 5/((4/32)/1). Suppose 5*g + u + 4*u - f = 0, -g - 5*u + 20 = 0. What is the closest to -1/2 in 28, -0.5, g, 1/4? -0.5 Let g = 9.046 + -11.046. Which is the closest to 2? (a) 0 (b) g (c) 1/10 (d) 2 d Let b = 2551...
{ "pile_set_name": "DM Mathematics" }
-17.35 - -17.85. Let t = 0.1 + -0.2. What is the nearest to t in 2/19, -0.1, k? -0.1 Let z = -5 + 4.87. Let s = -178 - -178.87. Let o = s - z. Which is the nearest to 2? (a) -2/13 (b) o (c) -0.4 b Let v = 551 + -1654/3. What is the nearest to v in 3, 0, -0.1, 0.4? -0.1 Let d = -55 + 166/3. Which is the closest to d?...
{ "pile_set_name": "DM Mathematics" }
/(-3)). What are the prime factors of (-5)/((-20)/36) + g? 2, 5 Suppose 0 = -g - 4*g + w + 149, 0 = 4*g - 5*w - 136. What are the prime factors of g? 29 Let g = 28 + -16. Suppose 0 = x - 2 - g. List the prime factors of x. 2, 7 Let o(a) be the first derivative of -2 + 3*a**2 - 4*a - a**2 + 0*a**2. What are the prime fa...
{ "pile_set_name": "DM Mathematics" }
t of d? 1 Suppose 4*f = -2*r + 95842 + 18566, -5*r + 4*f + 286146 = 0. What is the ten thousands digit of r? 5 Let g = 2951 + 2093. What is the tens digit of g? 4 Suppose 1790 = 3*a - 4*y - 1113, 5*y + 2908 = 3*a. Let x = -181 + a. What is the tens digit of x? 8 Let t = 23435 - -18068. What is the units digit of 6/15 +...
{ "pile_set_name": "DM Mathematics" }
rt m? -41154*m**2 + 2*m + 2 What is the derivative of -8988*l**3*o*q**2 + 3*l**3*o*q + l**3*q + 908*l*q - 14*q**2 wrt o? -8988*l**3*q**2 + 3*l**3*q Find the third derivative of f*o**4 - 7*f*o**3 - f*o**2 - 15541*f + 33058*o**4 wrt o. 24*f*o - 42*f + 793392*o What is the derivative of 2*k**2 + 5438*k + 34275 wrt k? 4*k ...
{ "pile_set_name": "DM Mathematics" }
*c**2 + 134*c + 1581. What is i(-52)? 21 Let a(m) = 29*m + 1159. Determine a(-39). 28 Let m(i) = -i**3 - 114*i**2 - 225*i - 119. Determine m(-112). -7 Let i(s) = -s**3 + 6*s**2 + 13*s - 7. Calculate i(9). -133 Let k(f) = -f**3 - 14*f**2 - 26*f + 51. Calculate k(-9). -120 Let q(z) = z**2 - 190*z + 1092. Give q(6). -12 L...
{ "pile_set_name": "DM Mathematics" }
*k - 90*w - 53 wrt k? 84*k*w - 496880*w**2 Find the second derivative of 38197129*j**3*s**2 + 142914*j**3 - 3*j**2*s + 2*s wrt s. 76394258*j**3 What is the second derivative of 47367893*s**3 - 601862*s - 1 wrt s? 284207358*s What is the first derivative of -824217093*b - 260682264 wrt b? -824217093 Find the second deri...
{ "pile_set_name": "DM Mathematics" }
in base 7? -316 Convert -8 (base 15) to base 2. -1000 Convert -2 (base 12) to base 13. -2 What is -4 (base 10) in base 2? -100 Convert 1 (base 13) to base 2. 1 What is -8 (base 11) in base 9? -8 Convert 1010100 (base 2) to base 3. 10010 What is -152 (base 11) in base 2? -10110010 -7 (base 16) to base 11 -7 Convert 23 (...
{ "pile_set_name": "DM Mathematics" }
+ v**2 - 23*v + 10 + 2. Calculate u(28). 1 Let z = 1401 - 1403. Let g(u) = -4*u**2 + 3*u + 1. Calculate g(z). -21 Let l(u) be the first derivative of -4*u**3/3 + 2*u**2 + 10*u + 1588. Determine l(-3). -38 Suppose 0 = 3*l - z + 9, z - 28 = 4*l + 5*z. Let g(q) = -2*q - 4. Suppose -12 = 4*p - 0. Let x(r) = -10*r - 20. Let...
{ "pile_set_name": "DM Mathematics" }
mine g(j). -5 Let m(i) = 396*i**2 - 191*i**2 + 3 + 14*i - 201*i**2. Give m(-3). -3 Let w(s) = -12*s + 0*s**2 + 101 - 66 - 61 + 4*s**2 - 3*s**2. Determine w(14). 2 Let u(l) = 5*l**3 - 13*l + 16*l + 21 - 22. Determine u(2). 45 Let u(m) = 9*m - 8. Let i(d) = 10*d - 9. Let x = 23 - 14. Suppose 0 = -4*n - x + 29. Let c(y) =...
{ "pile_set_name": "DM Mathematics" }
ange 51*c**2 + 39*c**2 + 4*c**2 to the form m*c + i + p*c**2 and give i. 0 Rearrange (k - 3*k - 1 + 0*k)*(9*k + 0*k - 192*k) to the form z*k + r*k**2 + f and give z. 183 Express (0 + 4 - 1)*(-9*i + 0*i - 5*i) in the form d + p*i and give p. -42 Rearrange -2 + o - 3*o**4 - 5*o + 1 + 0 to the form j*o**2 + n + x*o**3 + m...
{ "pile_set_name": "DM Mathematics" }
4? 2 Which is the closest to -4? (a) 0.4 (b) -2 (c) -2/3 (d) 5/2 b What is the nearest to 0.06 in -3/11, -2, 1/5? 1/5 Which is the closest to 1? (a) 2/15 (b) 3/55 (c) -0.1 (d) -0.3 a What is the closest to 0.2 in 0.1, 2/21, 1/7, 4? 1/7 What is the nearest to -2/3 in -0.1, -1, 16, 4? -1 What is the nearest to 1 ...
{ "pile_set_name": "DM Mathematics" }
150) + -98? -80 What is the value of (4 - 19) + -2 + (-375 - -379)? -13 What is -5 - (-15 + 0 + (-9 - (13 + -20)))? 12 Calculate 33 - ((-12 - 1 - -9) + -12 - -9). 40 -158 + 213 - (75 + -1) -19 Evaluate 35 + -85 + (11 - -3) - 73. -109 Calculate -1 - (-15 - -2) - (-44 + 24 - -33 - -33). -34 What is -7 + 0 - (4 - (-4 + (-...
{ "pile_set_name": "DM Mathematics" }
What is 18017947 divided by 783389? 23 What is -102854471 divided by -799? 128729 Calculate 0 divided by -196944172. 0 Divide -29014 by 20285. -29014/20285 22650876 divided by 14034 1614 Divide -10007100 by -2501775. 4 Divide 5358 by 18719. 5358/18719 What is 209840456 divided by -2258? -92932 Divide -106 by -6582. 53/...
{ "pile_set_name": "DM Mathematics" }
- 25*i**2 = 0. 45 Factor -40*n**2 - 292*n**2 - 325*n**2 - 2100*n + n**3 - 2104 + 45*n**2 + 90*n**2. (n - 526)*(n + 2)**2 Let u be ((5/(-6))/(-5))/(12 - (-27 + (-18819)/(-486))). Let g = 3/13 - 2/65. Factor -8/5*o + u - g*o**4 + 6/5*o**2 + 0*o**3. -(o - 1)**3*(o + 3)/5 Factor -3780 - 129*x**3 + 59*x**3 + 864*x + 7*x**2 ...
{ "pile_set_name": "DM Mathematics" }
2)*-3 + 3))**2)*-2. -33722 + 432*sqrt(13) Simplify ((6*(sqrt(99) + sqrt(99)*2) + sqrt(99) + sqrt(99)*-2*-4 + sqrt(99) + sqrt(99))/((sqrt(72) - (sqrt(72) + sqrt(72)*-3*-5 - sqrt(72)))/sqrt(8)))**2. 9251/196 Simplify ((sqrt(30)/(sqrt(20)/sqrt(2)) + 3)*4)**2 - ((sqrt(15) + sqrt(15)*-1)*2 + sqrt(15))/((sqrt(90)/sqrt(3))/sq...
{ "pile_set_name": "DM Mathematics" }
0. Calculate the remainder when p is divided by 16. 14 Suppose 2*m = -4*f + 2152, 2*f - m = 2*m + 1076. Calculate the remainder when f is divided by 77. 76 Let g be 27/6 + 3/(-2). Suppose 4*q + g = -z + 1, -5*z + 32 = -q. Let m = 78 + -61. What is the remainder when m is divided by z? 5 Let m = 0 + 0. Suppose m = 5*v, ...
{ "pile_set_name": "DM Mathematics" }
pose g*d = 12 + 123. What is the tens digit of d? 2 Let l = 0 + 1. Let c be 3*(-1)/(-1)*l. Suppose 0 = c*s - 0*s - 72. What is the units digit of s? 4 Let l = -358 - -142. Let i = 126 + l. Let p = i - -153. What is the tens digit of p? 6 Suppose 0 = 3*s - p - 726, -s - 7*p = -4*p - 242. What is the units digit of s? 2 ...
{ "pile_set_name": "DM Mathematics" }
Round o to the nearest 10. 230 Let q = 2359212 + 666627. Let l = 1340839 - q. What is l rounded to the nearest 100000? -1700000 Let y = -87.5 + 65. Let g = 103.5 - y. Let j = 125.99998816 - g. Round j to 6 dps. -0.000012 Let y = 130972278 - 130972308.2000205. Let z = y - -30.2. What is z rounded to 5 decimal places? -...
{ "pile_set_name": "DM Mathematics" }
*t. What is -3*h(u) - 5*x(u)? 2*u**2 Let c(g) = g**2 + g + 1. Suppose 2 = -2*q - i, 5*i - 3*i + 10 = 2*q. Let d(t) = 7*t**3 - t - 1. What is q*d(n) + c(n)? 7*n**3 + n**2 Let j(a) = 2*a**2 + 12*a + 91. Let h(x) = -2*x**2 - 14*x - 90. Determine 5*h(f) + 6*j(f). 2*f**2 + 2*f + 96 Let m(k) = -7*k + 5. Let y(b) = -12*b + 4....
{ "pile_set_name": "DM Mathematics" }
e biggest value? (a) -2/23 (b) 0.8 (c) q c Suppose -3*z + 111 - 98 = 2*t, 5*t = -4*z + 22. What is the biggest value in -0.5, -10, t? t Let m = 17 + -13.8. Let q = 30.2 - m. Let s = q + -27.02. Which is the third biggest value? (a) s (b) -3/2 (c) 1 b Let j = 17 + -14.2. Let n = j + -1.8. Let o = 143 + -145. Which...
{ "pile_set_name": "DM Mathematics" }
k be h(-1). Let m(x) = -2 - 2 - x**k - 3 + 6*x**3 + 7*x**2. Calculate 7*j(r) - 4*m(r). r**3 Let t(g) be the first derivative of g**4/2 + 4*g**3/3 - 2*g**2 - 4. Let w = 8 + 3. Let i(x) = 0 + 0 - 6*x**3 + 11*x - 11*x**2. What is w*t(h) + 4*i(h)? -2*h**3 Let j(k) = -k - 1. Let b = -3 + 15. Let a(l) be the second derivati...
{ "pile_set_name": "DM Mathematics" }
g and 3 t? 5/18 Four letters picked without replacement from yxyphhhnhpfhyhxhy. What is prob of picking 4 h? 1/68 Three letters picked without replacement from {h: 7, a: 1, v: 6}. Give prob of picking 2 a and 1 h. 0 Three letters picked without replacement from xhxhdduuqhhhhuuh. What is prob of picking 1 x and 2 d? 1/...
{ "pile_set_name": "DM Mathematics" }
tive of 7*l**3/6 - 2*l - 1. Let w(b) be the third derivative of -5/24*b**4 + 0 + 0*b**3 + 0*b - 21*b**2. Give w(u(g)). -35*g Let o(p) be the third derivative of p**4/24 - 1991*p**2. Let r(b) = -484*b. What is o(r(a))? -484*a Let c(h) = -4*h**2. Let a(d) = -15031740*d**2. What is c(a(n))? -903812829710400*n**4 Let c(p) ...
{ "pile_set_name": "DM Mathematics" }
-515. Let h = u + 0.092. What is h rounded to three decimal places? -0.015 Let a = -0.1 + 8.1. Let w = 29 + a. Let o = -32.2 + w. Round o to the nearest integer. 5 Let a = -0.025 + 0.02499767. Round a to six dps. -0.000002 Let i = -533424.32 + 550599. Let y = i - 17165.68000072. Let t = 9 - y. What is t rounded to sev...
{ "pile_set_name": "DM Mathematics" }
+ 0*t + 493 - j. Let f(p) = -23*p**2. Give z(f(w)). -69*w**2 Let o(j) = -6*j**2 + 23*j**2 + 10*j**2. Let v(a) be the first derivative of -a**2/2 - 125. What is o(v(h))? 27*h**2 Let j(w) = 153*w**2 + 7*w - 55*w**2 - 7*w + 415*w**2. Let z(k) = 2*k. Determine j(z(a)). 2052*a**2 Let o(m) = -2*m. Let y(k) be the third deri...
{ "pile_set_name": "DM Mathematics" }
positive. q**(4/11) Simplify ((v/(v**(-4)/v)*v**(1/10)*v**(5/2)*(v/(v*v**(-3/10)))/v)**(4/29))**41 assuming v is positive. v**(6478/145) Simplify ((w/((w**(-5)/w)/w))**(-2/49)*(w/(w**(-2/3)*w))**(-4/3))**(2/19) assuming w is positive. w**(-1072/8379) Simplify ((l*l/l**(-2/5)*l/l**9)/((l**(-9)*l)/l*l*l/l**2*l*l))/((((l...
{ "pile_set_name": "DM Mathematics" }
the units digit of 45339672? 2 What is the tens digit of 16174092? 9 What is the hundred thousands digit of 14876585? 8 What is the thousands digit of 1959730611? 0 What is the hundred thousands digit of 20209018? 2 What is the thousands digit of 2090954417? 4 What is the ten millions digit of 1945368900? 4 What is the...
{ "pile_set_name": "DM Mathematics" }
Solve -4*c + 28 = -3*u, 2*u = 5*c + 77 - 91 for c. -2 Solve 2*t + 5*z + 65 = 45, -4*t - z = 22 for t. -5 Solve -300 = -2*f - 2*f - 296, -x + 9*f = 14 for x. -5 Solve -4*x - 2*u + 122 = 118, -16 = -4*u for x. -1 Solve -5*y + 3 = 151*u - 154*u, 0 = -5*y - 3*u + 27 for y. 3 Solve 0 = 3*h - 3*j - 39, 364*h = 367*h - 2*j -...
{ "pile_set_name": "DM Mathematics" }
)/4 Simplify (-2*sqrt(1584) - sqrt(44)*2*3)/((sqrt(36) - sqrt(144))/sqrt(9) - sqrt(44)/(sqrt(33)/sqrt(3))). 9*sqrt(11) Simplify (-3*((sqrt(1911) + sqrt(1911) + -1*sqrt(1911))*-4)/((sqrt(3) - sqrt(33)/(sqrt(44)/sqrt(4))) + 1*sqrt(3)*-1) + -2)**2. 336*sqrt(13) + 91732 Simplify ((sqrt(360)/sqrt(10)*-6)/sqrt(12)*4 + 4*5*(5...
{ "pile_set_name": "DM Mathematics" }
noseconds? 320377861440000000000 Convert 56.43797 days to minutes. 81270.6768 What is twenty-five quarters of a litre in millilitres? 6250 What is seven halves of a millimeter in micrometers? 3500 Convert 648.954 kilograms to nanograms. 648954000000000 How many micrograms are there in twenty-nine fifths of a milligram?...
{ "pile_set_name": "DM Mathematics" }
15 = -x. Is c a composite number? True Suppose -2*z = -8*z + 348. Let u = z + 37. Is u prime? False Suppose 25*c = 56793 - 20168. Is c composite? True Let l be (-6 + (-5 - -5))*(-482)/(-3). Let s = l + 2937. Is s composite? False Let k(y) = 58*y + 8. Let i be k(6). Let z = i + 663. Is z a prime number? True Suppose -17...
{ "pile_set_name": "DM Mathematics" }
/55 Four letters picked without replacement from {q: 2, r: 3}. What is prob of sequence qqrr? 1/10 Four letters picked without replacement from vzvs. What is prob of sequence vzvs? 1/12 Calculate prob of sequence dz when two letters picked without replacement from dzjjddjdjjjdj. 5/156 Four letters picked without replac...
{ "pile_set_name": "DM Mathematics" }
-2756 divided by 689 -4 What is -385 divided by 1? -385 Divide -5 by -55. 1/11 4 divided by -541 -4/541 What is 14 divided by -4? -7/2 What is 19934 divided by 2? 9967 Calculate -587 divided by -4. 587/4 What is -370 divided by 3? -370/3 904 divided by 113 8 Calculate -126 divided by -3. 42 522 divided by 174 3 1326 d...
{ "pile_set_name": "DM Mathematics" }
**7/840 + u**6/90 - u**5/60 + u**4/12 - u**3/2 + u. Let n(c) be the second derivative of q(c). Calculate n(-5). -13 Let t(x) be the first derivative of -x**2 - 7*x + 2. Let k be t(-5). Let i(a) = -a + 3*a + 2*a**2 + 3*a**2 + a**k + 5 + 0*a. What is i(-5)? -5 Let v(y) = 2*y + 2. Let d(m) = m - 13. Let h be d(11). Let q ...
{ "pile_set_name": "DM Mathematics" }