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= -z**3 - 13*z**2 + 2. Let y be o(-13). Solve 3*w + 3*t - 5 = 4, y*t = 2 for w. 2 Suppose 0 = -y + 10 - 7. Solve y*r - 2*r + 6 = -3*l, 3*l + 3*r = 0 for l. -3 Let d = -14 - -17. Let p = 4 + -4. Solve 1 = -b - p*t - 4*t, d*b + 14 = -t for b. -5 Let v be 1 + (1 - -4 - 6). Solve v = -h - f, 6*h + 4*f - 5 = h for h. 5 Supp...
{ "pile_set_name": "DM Mathematics" }
- 2*w + 2. Suppose -3*s = 115 - 16. Let r = s - -31. Give k(r). 6 Let j(a) = 10*a**3 + 8*a**2 - 16*a + 7. Let x(c) = -7*c**3 - 5*c**2 + 11*c - 4. Let z(y) = -5*j(y) - 7*x(y). Determine z(-5). -22 Let z(r) = -3*r - r - r**2 - 2*r - 1. Let s be (3*5/45)/(1/(-15)). Determine z(s). 4 Let l(n) = n**2 - 22*n + 41. Let j be ...
{ "pile_set_name": "DM Mathematics" }
*3 + 336 + y - 117 - 108 - 113. Give -22*b(l) - 4*s(l). 2*l**3 - 2*l Let a(g) = -22*g + 10. Let b(x) = -15*x + 7. Let o(u) = -5*a(u) + 7*b(u). Let h(n) = 6*n - 2. What is -3*h(f) + 4*o(f)? 2*f + 2 Suppose 0 = -4*r - 61 + 37. Let j(n) = -9*n - 37. Let l(t) = 2*t + 9. Give r*j(z) - 26*l(z). 2*z - 12 Let i(w) = -367*w**3 ...
{ "pile_set_name": "DM Mathematics" }
0 for f. 1 Let a = -165 + 170. Solve 5 = -a*w + 30 for w. 5 Let u(j) = j**2 - 5*j - 6. Let t be u(6). Suppose -17 = -4*l + c - 3, 0 = -2*l + 2*c + 10. Suppose t*f - l = -f. Solve -p + f*p = 0 for p. 0 Let z = 14 - 5. Suppose -b = -z*b + 40. Solve p = -b + 1 for p. -4 Let h(b) = 6*b**3 + 2*b**2 - 2*b. Let q be h(1). So...
{ "pile_set_name": "DM Mathematics" }
+ -1. Suppose v = -g + 3*g. Let c(a) = -2*a**2 + 449*a - 7050. Let n be c(17). Solve -2*s - 22 = -g*s + n*x, 3*x + 11 = s for s. -1 Suppose i + 7 = 3*u - 5, 0 = i. Suppose 0 = -u*o + 55 + 45. Solve g + 5*a = o, 2*a = -3*g + a + 19 for g. 5 Let r be 1 + 20/(-4) + 7. Suppose -5*c - 1979 = 3*g, r*g = 7*c - 5*c - 1993. Let...
{ "pile_set_name": "DM Mathematics" }
2, 0 = 4*q - 5*p - 293. Let f = -388 + 1951/5. Calculate the common denominator of f and 60/q - 4/6. 30 Suppose -2*b + 39 - 3 = 0. Let q = -159 - -307/2. Find the common denominator of 14*-5*(-1)/b and q. 18 Let m(t) = 968317*t**2 - 2*t + 5. Let z be m(-4). Let q = -217102553/14 + z. Let x = q + 14232. Find the common ...
{ "pile_set_name": "DM Mathematics" }
27 Which is smaller: 63799 or -27? -27 Which is bigger: 8 or 2021/293? 8 Which is smaller: 1 or 85/7688? 85/7688 Is -2/31991297 <= 1? True Does -78 = -208? False Which is bigger: -0.1 or -1296.6? -0.1 Which is smaller: -1 or 0.0528258? -1 Which is smaller: 2833 or 5665/2? 5665/2 Is -64910 < -64904? True Do -0.21 and -5...
{ "pile_set_name": "DM Mathematics" }
s divided by 49. 28 What is the remainder when 16382 is divided by 264? 14 Calculate the remainder when 190487 is divided by 17316. 11 Calculate the remainder when 560008 is divided by 15. 13 What is the remainder when 47235 is divided by 598? 591 Calculate the remainder when 1514 is divided by 130. 84 Calculate the re...
{ "pile_set_name": "DM Mathematics" }
for r. 6 Solve 0 = -8*d + 4*d - 4 for d. -1 Solve -8 = -10*b - 38 for b. -3 Solve 0 = -20*r + 19*r + 6 for r. 6 Solve -12 - 12 = -8*g for g. 3 Solve 30*t - 24*t - 12 = 0 for t. 2 Solve 0 = 5*t + 41*t + 322 for t. -7 Solve -19*n + 53*n + 68 = 0 for n. -2 Solve -5*q + 7 = 22 for q. -3 Solve 64 = 10*m + 6*m for m. 4 Solve...
{ "pile_set_name": "DM Mathematics" }
or o. 3 Solve 574*o - 777 - 8407 = 0 for o. 16 Solve 0 = 96*u + 1403 - 443 for u. -10 Solve -915*m - 66 = 11829 for m. -13 Solve 326 = 43*n + 1057 for n. -17 Solve 64 = -16*p + 11*p - 27*p for p. -2 Solve 21*o + 7319 = 6878 for o. -21 Solve 183*u - 259 = -893 - 1379 for u. -11 Solve -1434*r - 456 = -1377*r for r. -8 So...
{ "pile_set_name": "DM Mathematics" }
c = 1 - k. Which is greater: c or -0.1? -0.1 Let z = 397/9 + -44. Which is bigger: -1 or z? z Let f(l) = 2*l**2 + 3*l - 2. Let z be f(-3). Suppose 0 = -2*u + z*u - 5. Is u greater than or equal to 1? True Let o = -0.081 + 0.081. Which is bigger: o or 30/11? 30/11 Let f be (-2)/(-11) - (-40)/22. Suppose -j = -y - 5, -f...
{ "pile_set_name": "DM Mathematics" }
3 + a**2. Let m(o) = 3*o**3. Give 4*d(s) + 5*m(s). 3*s**3 + 4*s**2 Let j(i) = -5*i**3 + 2*i**2 + 15 - 16 + 4*i + 2*i**2. Let n(m) = -14*m**3 + 11*m**2 + 11*m - 2. Calculate 11*j(v) - 4*n(v). v**3 - 3 Let g be (-20)/(-6)*(-18)/(-15). Let s(y) = -7*y**2 + 4*y - 2. Let d(l) = 8*l**2 - 5*l + 3. Give g*d(f) + 5*s(f). -3*f**...
{ "pile_set_name": "DM Mathematics" }
t h = -77 + 80. Suppose -11*d + 264 = 11. Let x = -23 + d. Sort h, x, -4, -6 in increasing order. -6, -4, x, h Let s be 330/90*(-2 + -8 - 2). Let n be s/(-286)*(-26)/(-4). Sort 2, n, -15 in decreasing order. 2, n, -15 Let g = -0.143 - -0.043. Suppose -196*q - 30 = -190*q. Put q, g, -2.3, 3/8 in ascending order. q, -2.3...
{ "pile_set_name": "DM Mathematics" }
Which is the closest to 0? (a) 1/7 (b) 3/12353 (c) -9 (d) -3 (e) 2 b What is the closest to 0.3 in -4/53, 36, -3/7, 2/33, -0.3? 2/33 What is the nearest to -0.1 in -1, 0.4, 0.3, -1137.75? 0.3 What is the closest to 4/2365 in -4/7, -2/5, -4/3, -11, 3? -2/5 What is the closest to -80 in -2/3, -3, -33646.4, 5? -3 Wh...
{ "pile_set_name": "DM Mathematics" }
+ 102 = 2*r. What is the remainder when 412 is divided by r? 44 Let u(r) = -2*r**2 - 2*r. Let n be u(-2). Calculate the remainder when 23 - n/(5 - 4) is divided by 7. 6 Suppose 4*l + 5*s + 2245 = 8876, 4*s - 12 = 0. What is the remainder when l is divided by 72? 70 Suppose -c - q = 8 - 13, -4*c + 4*q = 4. What is the ...
{ "pile_set_name": "DM Mathematics" }
Let t(r) = 2847*r**3 + 11*r**2 - 11*r + 31. Let i(h) = 11*k(h) + 2*t(h). What is the first derivative of i(y) wrt y? -1860*y**2 Let g(y) be the first derivative of -397*y**5/5 + 3*y**4/4 + y**2/2 - 1985*y - 7869. Find the second derivative of g(x) wrt x. -4764*x**2 + 18*x Let w(n) = 4*n**2 + 8*n - 29. Let u(c) = -8*c*...
{ "pile_set_name": "DM Mathematics" }
ltiple of 2 and c(p)? 6 Suppose 3*a - 2*j - 72 = -0*a, -3*a + 5*j + 81 = 0. What is the smallest common multiple of 12 and a? 132 Let f be ((-2)/12)/((-6)/(-416)). Let p be 3/9 + 83/(-9). Let r = f - p. Find the common denominator of r and 33/2. 6 Let f = -54 + 55. What is the smallest common multiple of f and 16? 16 L...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {c: 6, n: 3, q: 4, o: 1, x: 1, w: 5}. 3/95 Three letters picked without replacement from qqkkkqqkwok. Give prob of picking 3 q. 4/165 Calculate prob of picking 1 f, 1 o, and 1 i when three letters picked without replacement from hhioifiiiihoiffiifi. 80/969 Four letters picked wi...
{ "pile_set_name": "DM Mathematics" }
True Suppose -15*t - 40816 - 4034 = 0. Is (18/10)/((-26)/t) a multiple of 9? True Suppose -19*w = -20*w - 4*v + 26156, -130876 = -5*w - 4*v. Is 55 a factor of w? True Let z = 157 + -150. Suppose -z*f + 768 = f. Is 29 a factor of f? False Let j = 243 + -225. Suppose 5*n - 376 = -4*c, -c - 2*c - 3*n = -285. Suppose -17*...
{ "pile_set_name": "DM Mathematics" }
/5)/((-2)/(-280))*1. Let d = 52 + w. Are -4 and d equal? True Let n = -14/65 + 8/13. Let y = -206 - -145. Let w = 73 + y. Which is smaller: n or w? n Let g = 2/314783 + 532298017/5666094. Let a = -94 + g. Which is smaller: 1 or a? a Let f = 108 + -63. Is 45 equal to f? True Let f(w) = -2*w + 194. Let m be f(-20). Which...
{ "pile_set_name": "DM Mathematics" }
2 + 10 for h. 1 Solve -3*h + 3*x - 10 = 5*x, 20 = -4*x for h. 0 Solve -95*x + 92*x - 6 = -h, x = -4 for h. -6 Solve 3*j = -4*u - 15, -9 = -3*j - u + 5*u for j. -1 Solve 18 = 3*p + 2*j + 1, 5*p - j - 11 = 0 for p. 3 Solve -3*u - 7*l - 11 = -2*l, 5*u - 4*l - 31 = 0 for u. 3 Solve 2*h = 2*i - 10, -9*i + 7*i - 8 = 4*h for...
{ "pile_set_name": "DM Mathematics" }
prob of sequence im when two letters picked without replacement from mabnmmmbmmmmininki? 4/51 Calculate prob of sequence vtww when four letters picked without replacement from {r: 1, t: 1, j: 1, w: 2, q: 2, v: 2}. 1/756 Calculate prob of sequence jlj when three letters picked without replacement from jljvjmjoj. 5/126 F...
{ "pile_set_name": "DM Mathematics" }
= -6*w**2 - 6*w + 8. Let a(u) = -5*o(u) + 4*q(u). Factor a(x). 2*(x - 4)*(x + 1) Let j(u) = -9*u**3 + 72*u**2 - 199*u - 274. Let d(v) = -29*v**3 + 217*v**2 - 599*v - 824. Let t(q) = 2*d(q) - 7*j(q). Suppose t(w) = 0. What is w? -1, 6, 9 Let a(w) = -8*w**2 - 30*w - 10. Let z(b) = b**2 + b + 1. Suppose 0 = -4*m + 6*m - ...
{ "pile_set_name": "DM Mathematics" }
-270 - -652. Is c a multiple of 70? False Suppose -3*o + 4*o - 4 = 0. Suppose 0 = -s + 2*x + 16, 2*s - o*s - x = -12. Let w(t) = t**2 - 5*t - 8. Is w(s) a multiple of 11? False Does 63 divide 575*13/((-130)/(-8))? False Suppose -11 = -3*z + 4*r, -4*r = -4*z - 0*z + 16. Let k = z + 19. Does 5 divide k? False Suppose 178...
{ "pile_set_name": "DM Mathematics" }
k + 302*k**2 - 6624994*k. 302*k**2 Collect the terms in 9*w - 24*w - 8*w + 162*w - 52*w. 87*w Collect the terms in -6506*y**3 - 385*y**3 - 3*y**2 + 5 - 23*y**2. -6891*y**3 - 26*y**2 + 5 Collect the terms in 145571*t - 145571*t - 19*t**3 + 18*t**3. -t**3 Collect the terms in -934166166 + 934166166 - k. -k Collect the te...
{ "pile_set_name": "DM Mathematics" }
12 Multiply 269061 and 0.1. 26906.1 1*18983 18983 Product of -27 and 11.34. -306.18 Work out 257801 * -0.1. -25780.1 -0.5 times 2.21124 -1.10562 -12727 * -0.6 7636.2 What is 414 times 79? 32706 What is 5 times -9561.73? -47808.65 0.3 times -2318 -695.4 Multiply -226645.3 and 4. -906581.2 0.3*31868.9 9560.67 What is the...
{ "pile_set_name": "DM Mathematics" }
7/6 + 92. What is the biggest value in -2, -1, y? y Let s(f) = 7*f - 21. Let t be s(25). Let x = t + -153. Which is the second smallest value? (a) -20 (b) -2 (c) x b Let p = 1/53 + -65/636. Let g = -0.26 + 0.26. What is the second smallest value in g, 2/7, p? g Let q(c) = -c**3 + 2*c**2 + 2*c + 2. Let p be q(3). Let...
{ "pile_set_name": "DM Mathematics" }
7*((-8)/(-7) + y)? 2, 3 Suppose -15 + 5 = -2*p. Let v be 16/p - 2/10. Suppose h = v*s - s + 10, 0 = 4*h + s - 40. List the prime factors of h. 2, 5 Suppose 164 = 7*a - 3*a. What are the prime factors of a? 41 Suppose 2*q = -0*q + 6. Let v be (0/q + -2)*-11. Suppose -2*n = -0*n - v. What are the prime factors of n? 11 S...
{ "pile_set_name": "DM Mathematics" }
9, -48227076? -7*m - 48227055 What is the a'th term of -40780, -81716, -122652, -163588, -204524? -40936*a + 156 What is the i'th term of 888, 1882, 2902, 3948, 5020, 6118, 7242? 13*i**2 + 955*i - 80 What is the l'th term of 1714114, 3428223, 5142334, 6856447, 8570562, 10284679, 11998798? l**2 + 1714106*l + 7 What is t...
{ "pile_set_name": "DM Mathematics" }
> c? True Let c be (5/15)/(2/(-246)). Let w = c + 44. Let s be ((-6)/(-3))/(-2) + w. Is s > 3? False Let m be (((-21)/4)/7)/3. Let z = 307 - 296. Which is bigger: z or m? z Suppose -2*k = -6*z + 24 + 6, -35 = 5*k - 5*z. Let t = -6/223 + 704/9589. Is k bigger than t? False Let h = 191 + -381. Let c = 5891/31 + h. Let d(...
{ "pile_set_name": "DM Mathematics" }
m. -5 Solve -3*q + 200 = -3*o + 188, -2*q + 26 = 4*o for q. 7 Solve v + 4*k - 39 = 0, 51 = -14*v + 16*v + 5*k for v. 3 Solve o + 1085 = 5*y + 1065, 2*o = -6*y + 2 - 10 for y. 2 Solve 0*f + n - 4 = -2*f, -9*f - 3*n + 12 = 0 for f. 0 Solve -3*u = -q + 65, 1122*u = 1117*u - 105 for q. 2 Solve -3*p = -4*s - 8, -4*s + 5 = 2...
{ "pile_set_name": "DM Mathematics" }
m**3 Let a = 29935 - 29929. Let m(o) = 61*o**3 + 13*o**2 + 11*o. Let v(n) = 30*n**3 + 6*n**2 + 5*n. Determine a*m(d) - 13*v(d). -24*d**3 + d Let b = 10666 + -10657. Let k(q) = -q**2 + 4*q + 3. Let c(s) = -2*s**2 + 9*s + 6. What is b*k(z) - 4*c(z)? -z**2 + 3 Let u = 1 - 1. Let f = -3043 + 3045. Suppose 0 = 2*k - f + 12,...
{ "pile_set_name": "DM Mathematics" }
11*k)*(19 - 8 + 9) + (-3*k + 6*k - 2*k)*(0 + 3*k + 0). -37*k**2 - 240*k Expand (1 - 7*h + 4*h - 7*h)*(-541*h**2 - 3*h + 5*h + 533*h**2). 80*h**3 - 28*h**2 + 2*h Expand (40732 + 5*s - 40732)*(-s + s - 2*s + 0*s + 6*s - 3*s + (s + 3 - 3)*(-2 + 3 + 0)). 10*s**2 Expand (4720 - 8792 + 4421)*(2*h - 1 + 1). 698*h Expand (14*p...
{ "pile_set_name": "DM Mathematics" }
a kilometer? 2750 What is ten thirds of a decade in months? 400 What is 3/10 of a minute in seconds? 18 Convert 99.61205 millennia to decades. 9961.205 What is 1/4 of a millennium in years? 250 How many nanograms are there in 21/2 of a microgram? 10500 Convert 2.870176l to millilitres. 2870.176 What is 4222.193ml in l...
{ "pile_set_name": "DM Mathematics" }
t g(j) = -j**3 + j**2 - 1. Let u(x) = k*t(x) + 6*g(x). Give u(2). -3 Let g(o) = -8*o**2 + 2*o + 1. Let u be g(-1). Let f = -99 + 101. Let m(t) = 13*t + t**3 - 24*t + 2*t + 2 + 8*t**f. Give m(u). 2 Let x be (12 - 7) + (-4 - -1). Suppose -8*o = -11*o - 9. Let r be -2*(x + (-3 - o)). Let y(g) = -g**3 - 3*g**2 + 3*g - 1. W...
{ "pile_set_name": "DM Mathematics" }
, s, -1? s Let i be ((-52)/51)/((-18)/7452). Let q = i - 422. What is the closest to -1 in 0.2, 17, q? q Let j(w) = w**3 + 8*w**2 - 3*w - 26. Let v be j(-8). Which is the nearest to v? (a) -1/2 (b) 6 (c) -4 a Let o(w) = -w - 25. Let u be o(-23). Which is the closest to 1/4? (a) u (b) 2/11 (c) -4/3 b Let d = 0.2 -...
{ "pile_set_name": "DM Mathematics" }
1 In base 16, what is 3 + 71? 74 In base 12, what is 8 - -6a? 76 In base 4, what is 2 - -101? 103 In base 15, what is -1a - 2db? -306 In base 15, what is -2c + 6? -26 In base 8, what is -636 + -3? -641 In base 8, what is -40 - -10? -30 In base 6, what is 242 - 20? 222 In base 5, what is 4323 - 2? 4321 In base 11, what ...
{ "pile_set_name": "DM Mathematics" }
mmon factor of 9 and j. 9 Let w(h) = -h**2 + 6*h + 3. Let l(a) = -3*a**2 + 11*a + 6. Let m(z) = -2*l(z) + 5*w(z). Let n be m(-9). What is the highest common divisor of n and 108? 12 Let p be (-83)/(-2) - 3/(-6). Let i = 95 - p. Suppose -a + 0*q = -3*q - i, -182 = -4*a + 2*q. What is the greatest common divisor of a and...
{ "pile_set_name": "DM Mathematics" }
- 20. Let x = -2411 - y. Is x a composite number? True Let m(a) = -9*a - 14. Is m(-11) a composite number? True Let o(j) = j**3 + 2*j**2 - 3*j + 7. Let m be o(-5). Let k = m - -90. Is k a prime number? True Let u = 145 - -162. Is u prime? True Let o be ((-1)/2 + 0)*-8. Suppose 2*w - 158 = o*u, 4*w = 5*u + 6 + 325. Is w...
{ "pile_set_name": "DM Mathematics" }
4, -696, -868, -1040? -172*u - 8 What is the x'th term of 22, 16, 10, 4? -6*x + 28 What is the v'th term of -128, -130, -134, -140, -148, -158, -170? -v**2 + v - 128 What is the h'th term of 503, 1001, 1501, 2003? h**2 + 495*h + 7 What is the y'th term of -4305, -4304, -4303, -4302, -4301? y - 4306 What is the n'th ter...
{ "pile_set_name": "DM Mathematics" }
between 2:42 AM and 12:24 PM? 582 What is 223 minutes after 7:05 AM? 10:48 AM What is 2 minutes after 12:36 PM? 12:38 PM What is 92 minutes after 6:18 PM? 7:50 PM What is 662 minutes before 6:56 PM? 7:54 AM How many minutes are there between 6:27 PM and 12:41 AM? 374 How many minutes are there between 12:02 AM and 9:1...
{ "pile_set_name": "DM Mathematics" }
+ (2*v + v + 0*v)*(-3 + 5 - 3))*(-22 + 81 - 12) + (0*v - v + 0*v)*(-2 + 6 - 3). -95*v Expand (2*u - 5*u + 2*u)*(0 + 0 + 2) + 517*u + 1304*u - 495*u - 4*u + 0*u + 5*u. 1325*u Expand (-4 + 16 - 9)*(-x + 2 - 2 + 3*x + 0*x - 4*x + (4 + 0 - 3)*(-3 - x + 3) - x - 3*x + 8*x - 4*x - 4*x + 6*x). -3*x Expand (3*x**2 - 3*x**2 - ...
{ "pile_set_name": "DM Mathematics" }
me? True Is 10295053 a prime number? False Is 316068451 composite? True Is 11492023 composite? False Is 9877981 a composite number? True Is 14266214 composite? True Is 4256506 a composite number? True Is 615421529 a composite number? False Is 24321467 composite? False Is 1159894 composite? True Is 304187069 prime? Fals...
{ "pile_set_name": "DM Mathematics" }
i**3*o - 3*o Differentiate -3109*k*x**2 - 129*k*x + 509*k + 196441516*x**2 wrt k. -3109*x**2 - 129*x + 509 What is the second derivative of r**3*z**2 - 21605792*r**3 + r*z**2 + 3*r + 583499 wrt r? 6*r*z**2 - 129634752*r What is the derivative of -h**2 + 126366887*h*x + 114*x + 1427148 wrt h? -2*h + 126366887*x What is ...
{ "pile_set_name": "DM Mathematics" }
e nearest ten thousand? -118350000 Round -0.01131221559 to 5 dps. -0.01131 What is 5.6864662 rounded to three dps? 5.686 Round -601.248009 to two decimal places. -601.25 Round 48396447.8 to the nearest 100000. 48400000 Round -0.239370291 to three dps. -0.239 What is -0.0521378967 rounded to 5 decimal places? -0.05214 R...
{ "pile_set_name": "DM Mathematics" }
15 = -3*o, -5*x + x - 3*o + 15 = 0. Suppose x = -36*g - 113 + 5. Let l(k) = 5*k - 3. Calculate g*w(c) + 2*l(c). -2*c + 3 Let n(o) be the first derivative of -1/3*o**3 + 7*o + 1 - 9/2*o**2. Let a(y) = 159 + 5*y + y**2 - 334 + 171. Give -5*a(p) - 3*n(p). -2*p**2 + 2*p - 1 Let c(k) = 62*k**2 + 2*k - 34. Let s(m) = 61*m**2...
{ "pile_set_name": "DM Mathematics" }
4*c + 2210 = 170. What is the remainder when c is divided by 31? 29 Let t be 2*15/(-6) - (3 - 0). Suppose -3*s + 10 = q, -5*s + 6 + 9 = 2*q. What is the remainder when t/(5/10*-1) is divided by s? 1 Suppose 0 = -29*a - 1519 + 3955. Let z = -12 + 34. Calculate the remainder when a is divided by z. 18 Suppose -3*f + 46 =...
{ "pile_set_name": "DM Mathematics" }
t r? -10*c**3*u**3 - 5446780*c Find the third derivative of 8*g**6 + 98*g**5 - 1963*g**4 - 2088695*g**2 - 2 wrt g. 960*g**3 + 5880*g**2 - 47112*g Find the second derivative of -459133100*t*x**2 - 33*t - 1657274*x wrt x. -918266200*t What is the derivative of 383221*g**2 - 2483510? 766442*g What is the derivative of 124...
{ "pile_set_name": "DM Mathematics" }
13 What is 3 + -2 - (121 + -147 + 0 + 8)? 19 What is -14 + (-34 - (-9 - 20))? -19 Calculate (0 - 1) + -6 + (-36 - (-79 + 35)). 1 Calculate 2 + (9 - 0) - (92 - 80). -1 -9 - (2 - (19 + -1)) 7 What is (3 - 16) + 3 + 2 + 4 + -20? -24 What is the value of -8 + 35 + -14 + -10 - (1 + -23)? 25 1 + -16 + 22 - -4 11 Evaluate 9 -...
{ "pile_set_name": "DM Mathematics" }
+ 1.8. Let f = -1.2 - j. Sort h, f, 0 in descending order. 0, h, f Let x = -8 - -12. Suppose 5*b + 65 = -3*h, b = -x*h - 0*h - 13. Let t = -9 - b. Put 1, -5, t in descending order. t, 1, -5 Let y be (-8)/(-12)*(-15)/(-2). Suppose 0*m + y*m + 10 = 0, 0 = 3*u + m - 7. Sort u, 0, -5 in increasing order. -5, 0, u Let r = ...
{ "pile_set_name": "DM Mathematics" }
t b be z(5). Suppose -19 + 79 = b*h. What is the greatest common divisor of 96 and h? 12 Let g(j) = 2*j**2 + 5*j + 31. Let f be g(9). What is the greatest common factor of f and 14? 14 Suppose b + 1 = -2*m, -3*b - 2*m + 4 = -5. Suppose 54 = -b*n + 7*n. Calculate the greatest common factor of n and 9. 9 Let f(z) = 3*z**...
{ "pile_set_name": "DM Mathematics" }
*2 + k Collect the terms in -264532*q**2 - 32*q + 696*q**3 - 671*q**3 + 264532*q**2. 25*q**3 - 32*q Collect the terms in -f - 127011*f**2 - 119047*f**2 + f. -246058*f**2 Collect the terms in 8966*h + 8903*h - 17856*h + 2*h**2. 2*h**2 + 13*h Collect the terms in 16*i**3 + 12*i**3 + 22136 - 65*i**3 + 20*i**3 + 19*i**3 - ...
{ "pile_set_name": "DM Mathematics" }
? 2, 2141311 What are the prime factors of 85655? 5, 37, 463 What are the prime factors of 564978? 2, 3, 17, 29, 191 List the prime factors of 1972541. 1972541 What are the prime factors of 38946806? 2, 113, 172331 What are the prime factors of 106211? 7, 15173 List the prime factors of 338128. 2, 7, 3019 List the prim...
{ "pile_set_name": "DM Mathematics" }
is next in 20211, 20215, 20217, 20217, 20215, 20211? 20205 What comes next: -688, -691, -694, -697, -700, -703? -706 What is next in -297, -2131, -7099, -16767, -32701? -56467 What comes next: 32475, 32472, 32469, 32466? 32463 What is the next term in 80, -16, -176, -400, -688, -1040, -1456? -1936 What is next in 1836...
{ "pile_set_name": "DM Mathematics" }
+ k for h. -5 Let v(p) = p**2 + 6*p + 5. Let w be (-8 + 11)*4/(-3). Let y be v(w). Let s = y + 4. Solve -i - s = -2*i for i. 1 Let h(c) be the first derivative of c**4/4 - 13*c**3/3 - 7*c**2 + 2*c - 4. Let j be h(14). Let m be 54/15 - (-6)/15. Solve -j*s - 2 = m for s. -3 Suppose -4*t + 8 = -2*t. Suppose -2*d = -t*d +...
{ "pile_set_name": "DM Mathematics" }
form v*b**2 + n*b + k and give k. -1 Rearrange (-365 + 454*q + 365)*((0 - 1 + 0)*(3 + 1 - 2) + 1 - 5 + 0)*(17 - 5*q - 17) to the form c*q**2 + y*q + z and give c. 13620 Express 37*n + 12*n - 5 + 12*n + 64 - 82*n in the form r*n + s and give s. 59 Express 4*h**2 + h**2 + 3*h**2 + (-21 - 2*h**2 + 21)*(-5 + 2 + 0 + 4 - 3...
{ "pile_set_name": "DM Mathematics" }
term of 1688, 1699, 1726, 1775, 1852, 1963, 2114, 2311? n**3 + 2*n**2 - 2*n + 1687 What is the p'th term of -10131, -10132, -10133, -10134? -p - 10130 What is the g'th term of -26288, -52577, -78866, -105155, -131444? -26289*g + 1 What is the c'th term of -4, -5, -6, -7? -c - 3 What is the n'th term of -144, -262, -40...
{ "pile_set_name": "DM Mathematics" }
10*q**2 + 5153 What is the d'th term of -11564, -11526, -11486, -11444? d**2 + 35*d - 11600 What is the c'th term of 226, 135, 70, 43, 66, 151, 310, 555? 2*c**3 + c**2 - 108*c + 331 What is the s'th term of 61, -73, -205, -335? s**2 - 137*s + 197 What is the f'th term of 541, 1978, 4377, 7738? 481*f**2 - 6*f + 66 What...
{ "pile_set_name": "DM Mathematics" }
Let l(u) = 24*u**2 + 11*u + 42. Let y be l(7). Calculate the greatest common factor of 70 and y. 35 Let m(w) = 12*w**2 + 173*w - 23. Let r be m(-23). Calculate the greatest common factor of r and 138. 138 Let n = 7548 - 4273. What is the highest common factor of 131 and n? 131 Let o = -721 - -733. Calculate the highes...
{ "pile_set_name": "DM Mathematics" }
+ 0*c + 4*c - 4*c. Give y(v(l)). 9*l**2 Let i(n) = 2*n**2. Let g(z) be the third derivative of 0*z**4 - 2*z**2 + 0 + 0*z - 1/15*z**5 + 0*z**3. What is i(g(o))? 32*o**4 Let l(m) = 2*m. Let t(q) = -9*q**2 - 5. Let c(a) = -14*a**2 - 7. Let i(b) = -5*c(b) + 7*t(b). Give i(l(n)). 28*n**2 Let g = 11 - 7. Let i(l) = -2*l + g...
{ "pile_set_name": "DM Mathematics" }
536 What is 101022221010 (base 3) in base 10? 203340 Convert 536492 (base 10) to base 6. 15255432 Convert 22866 (base 11) to base 15. 9b8e What is 14c23db (base 14) in base 11? 580145a -1100000010001111 (base 2) to base 4 -30002033 -25423354 (base 7) to base 8 -10634740 -1101110111011101 (base 2) to base 11 -39744 What...
{ "pile_set_name": "DM Mathematics" }
35, 9*r - 11*r = -5*d + 1860. Is 26 a factor of d? False Let i be (0/(-3))/(6 + -3). Suppose -3*l + 5*f = -311, -3*l + 3*f + i*f + 309 = 0. Is 17 a factor of (l - 0)*4/12? True Does 7 divide ((15/(-2))/(-5))/((-6)/(-44))? False Let s(y) = -2460*y + 5 + 2 + 1 + 2458*y. Let x(v) = v**3 - 4*v**2 + 2*v - 2. Let w be x(2). ...
{ "pile_set_name": "DM Mathematics" }
erivative of -u**4/24 + 13*u**3/6 + 13*u**2. Let k be y(10). Solve -4*n = 5*a + 9, 4*a - a + 3*n = -k for a. -5 Let m(i) = -i**3 + i**2 + 5*i - 3. Let r be m(3). Let q = -94 - -84. Let a = r - q. Solve 7*c = -a*u + 2*c, 5*u = -3*c - 13 for u. -5 Let d = 12 - 7. Suppose 0*q + 3*q - d*a - 15 = 0, -2*a = -5*q + 44. Solve ...
{ "pile_set_name": "DM Mathematics" }
001101 - -1110110? 101001 In base 8, what is -10511 + 34? -10455 In base 11, what is -1 - 762? -763 In base 12, what is 28043 - -25? 28068 In base 5, what is 234400020 + 0? 234400020 In base 9, what is -10 - 211324? -211334 In base 5, what is 1220 - 111344? -110124 In base 15, what is -12d9 - -a? -12ce In base 4, what ...
{ "pile_set_name": "DM Mathematics" }
Sort j, -0.5, m in increasing order. -0.5, j, m Let f = -0.03 - -0.13. Let i be ((-6)/(-9))/(2/6). Sort i, f, -1/7 in decreasing order. i, f, -1/7 Let m = 5 - 3. Let k(n) = n + 10. Let d be k(-10). Suppose -2*t + 5 = 5*j, d = -4*j - 4*t + m + 2. Sort -2/5, 0.4, j in ascending order. -2/5, 0.4, j Suppose 0 = -0*p - p - ...
{ "pile_set_name": "DM Mathematics" }
divisor of v and 38? 38 Let i = 43 - 21. Calculate the greatest common divisor of i and 2. 2 Let r be (-7 + 15)/(3/30). Calculate the greatest common factor of r and 10. 10 Let z(c) = -c**2 + 11*c - 17. Let o be z(5). What is the highest common factor of 143 and o? 13 Suppose -4*n + 35 = 5*h, 0*n - 13 = -h - 2*n. Let ...
{ "pile_set_name": "DM Mathematics" }
w - 3. Let c be a(g). Solve o - 15 = 2*l, c*o + d*o = -5*l for l. -5 Let c(d) = d**2 + 6*d + 4. Let f be c(-6). Solve 5*z = 2*v - 6*v + 2, -12 = f*v - 2*z for v. -2 Let n(j) = -j**3 - j**2 + 3*j + 3. Let h be n(-2). Let x = 2 + h. Let o = x - 0. Solve k - 7 = -6*i + i, 4*k - o*i - 5 = 0 for k. 2 Let x = 10 - 6. Suppose...
{ "pile_set_name": "DM Mathematics" }
be 0 - (93/(-351) - (1 - 60/54)). Which is the closest to 2? (a) p (b) 133 (c) 2 (d) -0.2 c Let k = 1 - 0.5. Let h = 2510 - 29971/12. Let r = h + -38/3. What is the nearest to -1 in r, 2/9, k? r Suppose 20*o - 15*o + 2*r = 8, 0 = -2*o - r + 4. Which is the closest to -12/7? (a) o (b) 4 (c) 0.4 (d) -146 a Let p...
{ "pile_set_name": "DM Mathematics" }
4)/20. Find the common denominator of o/30 + (-7)/21 and -85/8. 40 Find the common denominator of ((-20)/14)/5 + 7943/728 and 2/6 - (-257)/(-24). 8 Let h = -424 - -436. What is the lowest common multiple of 146 and h? 876 Let q be 33/(-77) + 255/7. What is the common denominator of -28 and (-5)/(-30) - (-50)/q? 9 Let y...
{ "pile_set_name": "DM Mathematics" }
-618 What is next in 6, 32, 106, 252, 494, 856, 1362, 2036? 2902 What is next in -69, -64, -59, -54? -49 What is next in 8354, 8352, 8350? 8348 What is next in 41, 52, 65, 80? 97 What comes next: 51, 50, 49, 48, 47, 46? 45 What comes next: 41, 92, 169, 284, 449, 676, 977, 1364? 1849 What is the next term in 9338, 1867...
{ "pile_set_name": "DM Mathematics" }
s the nearest to -1475 in -2/15, -1/4, -16, 2? -16 Which is the closest to -33? (a) 4/7 (b) 0.123 (c) -1/189 (d) 1 (e) 0.2 c Which is the nearest to 2/7? (a) 111 (b) 60 (c) -9/7 c What is the closest to -1 in 2/29, -0.4, -1.413, -9/8, -0.3? -9/8 Which is the closest to 0.92? (a) 4/5 (b) -2 (c) 666/5 a What i...
{ "pile_set_name": "DM Mathematics" }
-150. What are the prime factors of c? 2, 23 Suppose 0 = -179*x + 192*x - 18382. What are the prime factors of x? 2, 7, 101 Suppose -296*l - 1468818 + 6648839 = -10461803. What are the prime factors of l? 2, 11, 1201 Suppose 4 = -11*u + 10*u. Let h be 956/16 + 3/u. Suppose -4*o + 3*o = -h. List the prime factors of o....
{ "pile_set_name": "DM Mathematics" }
ment from wwgksk? 1/10 Two letters picked without replacement from {q: 2, j: 18}. Give prob of picking 2 j. 153/190 What is prob of picking 2 u, 1 i, and 1 e when four letters picked without replacement from eddduiueut? 1/35 Calculate prob of picking 2 a and 2 j when four letters picked without replacement from {j: 4, ...
{ "pile_set_name": "DM Mathematics" }
wcmvvwvwvwm. 1/55 Calculate prob of picking 2 r when two letters picked without replacement from uururpun. 1/28 Two letters picked without replacement from {m: 11, z: 5, w: 1}. Give prob of picking 2 z. 5/68 Calculate prob of picking 1 c, 1 k, and 1 w when three letters picked without replacement from {h: 1, k: 1, w: 2...
{ "pile_set_name": "DM Mathematics" }
maller: -3/10 or 1? -3/10 Which is smaller: 1 or -32/545? -32/545 Which is greater: 36 or 42? 42 Which is smaller: 769 or 770? 769 Which is smaller: -156/331 or 1? -156/331 Is 1/123337 >= 0? True Is -1 greater than 5/539? False Is 8/121 smaller than -1? False Which is greater: 3/33388 or 1? 1 Is -1412/3 >= -470? False ...
{ "pile_set_name": "DM Mathematics" }
o = q + w. What is the second smallest value in 1, o, 3? 1 Let t = 8.05 - -1.55. Let j = t - 9.592. Which is the third smallest value? (a) 0 (b) j (c) -1/4 b Suppose -34*s + 5*v + 4 = -35*s, -2*v = -s - 4. Which is the fifth biggest value? (a) 0 (b) 0.4 (c) s (d) -1 (e) -9/8 c Let w(q) = 2*q**2 + 136*q - 278. ...
{ "pile_set_name": "DM Mathematics" }
factor of r? False Let d(h) = 4*h**2 - 10*h + 6. Let c be d(7). Suppose 0 = 7*u - 4*u - c. Does 22 divide u? True Suppose 37 = -5*z + 137. Is 20 a factor of z? True Suppose 162 = 3*g - 4*k - 293, 3*g + 3*k - 420 = 0. Suppose -g = -6*m + m. Does 13 divide m? False Let c(m) = 3*m**3. Is c(1) a multiple of 3? True Let i ...
{ "pile_set_name": "DM Mathematics" }
3364? 1282*x**2 + x + 330539 What is the w'th term of -10178781, -10178779, -10178777, -10178775? 2*w - 10178783 What is the v'th term of 5115, 10184, 15223, 20232, 25211, 30160? -15*v**2 + 5114*v + 16 What is the w'th term of 2716152264, 2716152265, 2716152266? w + 2716152263 What is the p'th term of -10360, -11828, -...
{ "pile_set_name": "DM Mathematics" }
.0000074 What is 0.00000298332 rounded to 6 decimal places? 0.000003 Round -727.4367 to 0 decimal places. -727 Round -9438.1 to the nearest 100. -9400 Round 0.00479828 to three decimal places. 0.005 What is -198.0338 rounded to the nearest ten? -200 What is 0.0006727 rounded to 3 dps? 0.001 What is -30.0771 rounded to ...
{ "pile_set_name": "DM Mathematics" }
r of 1/9, to the nearest integer? 11 What is the square root of 148283800 to the nearest integer? 12177 What is the third root of 258483840 to the nearest integer? 637 What is 3223560560 to the power of 1/3, to the nearest integer? 1477 What is 32974177 to the power of 1/2, to the nearest integer? 5742 What is the nint...
{ "pile_set_name": "DM Mathematics" }
ite? False Is 541757971 a composite number? False Is 809614369 a prime number? True Is 374235523 a composite number? False Is 168654010706 prime? False Is 15270601 composite? False Is 3171393349 composite? False Is 962996537 composite? False Is 1092687423 a composite number? True Is 54288360947 composite? False Is 2954...
{ "pile_set_name": "DM Mathematics" }
1 t and 1 q when two letters picked without replacement from {t: 1, v: 2, q: 4, r: 1}? 1/7 Four letters picked without replacement from {n: 5, l: 2, e: 9}. What is prob of picking 2 n, 1 l, and 1 e? 9/91 What is prob of picking 2 b when two letters picked without replacement from {b: 11, l: 1}? 5/6 What is prob of pic...
{ "pile_set_name": "DM Mathematics" }
7. Determine c*u(y) - 5*v(y). 3*y + 1 Suppose 3*i + 3*c + 9 + 6 = 0, 4*i = -2*c - 16. Let j(r) = -3*r**3 + 8. Let g(x) = -3*x**3 + 9. Give i*g(h) + 4*j(h). -3*h**3 + 5 Let u(s) = -4*s + 1. Let j(x) = -x. Determine 4*j(p) - 2*u(p). 4*p - 2 Let x(y) = 4*y. Suppose 3*d = 4*b + 21, 4*d = 3*b + d + 18. Let r(s) be the seco...
{ "pile_set_name": "DM Mathematics" }
meters? 6000 What is three fifths of a second in milliseconds? 600 How many weeks are there in 115566.5637 milliseconds? 0.00019108228125 Convert 24.33577 centuries to decades. 243.3577 What is 882013.2 decades in centuries? 88201.32 What is twenty-one halves of a litre in millilitres? 10500 Convert 513516.3um to centi...
{ "pile_set_name": "DM Mathematics" }
5804*w**4/5 + 92696*w**3/5 + 509536*w**2/5 + 222288*w + 833472/5 = 0. -5788, -6, -2 Factor t**2/7 + 142*t - 29667/7. (t - 29)*(t + 1023)/7 Factor -3*j**2/8 - 721689*j/4 - 173611670907/8. -3*(j + 240563)**2/8 Let -2*q**5/3 - 80*q**4/3 + 4312*q**3/3 + 178348*q**2/3 + 165034*q/3 - 347612/3 = 0. What is q? -43, -2, 1, 47 F...
{ "pile_set_name": "DM Mathematics" }
4205435? 112504205438 Work out -213 + -1098385.114. -1098598.114 What is 0.1 minus 53076602931604? -53076602931603.9 What is 85020886 minus -19248? 85040134 Work out -13285401355787 - 1.2. -13285401355788.2 738.856 + 1687.15 2426.006 Work out 0.3 + -22.8955541069. -22.5955541069 What is 0.011452676238 minus 3.2? -3.188...
{ "pile_set_name": "DM Mathematics" }
e 2*h = d*h for h. 0 Suppose -3*o + 3*i + 30 = -18, 0 = 2*o + 3*i - 52. Solve o = 14*l - 4*l for l. 2 Let i(y) = y**3 - 5*y**2 + 6*y - 21. Let f be i(5). Solve -46 = -32*o + f*o for o. 2 Suppose 5*g = 4*g + 29. Let b = -41 + g. Let d be (-249)/b - (-15)/(-20). Solve -k = 3*k - d for k. 5 Let w(k) = -k**3 + 18*k**2 - 16...
{ "pile_set_name": "DM Mathematics" }
0661 + -0.1339. Let v(a) = a + 6. Let p be v(-8). Let i be 2/(-8) - p/8. Which is bigger: m or i? i Let y = 47 - -459. Does 507 = y? False Let y = -16 + 14. Let v be y - (-2 - (-4)/(-24)). Suppose 5*b + 4 = b. Which is greater: b or v? v Let u(r) = r**2 + 11*r - 7. Let z be u(-12). Let g be z/20 + 2/(-8). Which is grea...
{ "pile_set_name": "DM Mathematics" }
at is prob of sequence nf when two letters picked without replacement from ffnzf? 3/20 Calculate prob of sequence ut when two letters picked without replacement from juuuujjjuutujtjaju. 8/153 Two letters picked without replacement from rphja. What is prob of sequence hp? 1/20 Two letters picked without replacement from...
{ "pile_set_name": "DM Mathematics" }
Let b = u + -4. What is the tens digit of b? 5 Let q(i) = 3*i**3 - 6*i**2 + 13*i + 17. What is the hundreds digit of q(7)? 8 Let i(m) = 2*m + 27. What is the tens digit of i(0)? 2 Suppose 3*x = -602 + 1832. What is the tens digit of x? 1 Suppose -6 = -4*d + 5*x, -9 = d + x + 3*x. What is the tens digit of (d/2)/(3/(-1...
{ "pile_set_name": "DM Mathematics" }
o*k**2 + l*k + g + a*k**4 and give g. 1 Express -80*i**3 + 20 - 20 + (3*i - i**3 - 3*i)*(-3 - 1 + 3) + 2*i**3 + 3 - 3 in the form h + s*i + c*i**2 + r*i**3 and give r. -77 Express 24726*y - 24726*y + 10*y**2 as x*y**2 + b*y + i and give x. 10 Express 3*b**2 + 15*b**2 + 2*b**3 - 4*b**2 as l + j*b**2 + y*b + r*b**3 and ...
{ "pile_set_name": "DM Mathematics" }
p**9/5040 - p**5/40 + p**4/12 - p. Let n(g) be the third derivative of j(g). What is the first derivative of n(d) wrt d? 12*d**3 What is the third derivative of 27*q**4 - 17*q**2 + 44*q**2 - 14*q**2 wrt q? 648*q Let n = -112 + 225/2. Let f(v) be the first derivative of 4 + 0*v - v**3 + n*v**2. Find the second derivati...
{ "pile_set_name": "DM Mathematics" }
568, -17563, -17558? 5*z - 17583 What is the a'th term of -5856, -5842, -5828? 14*a - 5870 What is the x'th term of -90588, -90583, -90578, -90573? 5*x - 90593 What is the o'th term of 28906, 57820, 86750, 115702, 144682, 173696, 202750, 231850? o**3 + 2*o**2 + 28901*o + 2 What is the m'th term of -6555, -13160, -19765...
{ "pile_set_name": "DM Mathematics" }
2, 397 List the prime factors of 2080. 2, 5, 13 What are the prime factors of 5495? 5, 7, 157 What are the prime factors of 2233? 7, 11, 29 List the prime factors of 712. 2, 89 List the prime factors of 870. 2, 3, 5, 29 List the prime factors of 635. 5, 127 List the prime factors of 7134. 2, 3, 29, 41 List the prime fa...
{ "pile_set_name": "DM Mathematics" }
ggest value in 0.01, 2/9, s? s Let x = -0.01 + -0.59. Let g = 2156.4 + -2156. Which is the smallest value? (a) g (b) -0.4 (c) x c Let d = 3 - 12. Let w be (-1)/((d/15)/3). Suppose 0 = -w*u + 10*u - 25. Which is the third smallest value? (a) u (b) -8 (c) -2 a Let b = 0.8854 + 1.1146. Let d = 0 - -1. What is the fo...
{ "pile_set_name": "DM Mathematics" }
. -11*s**3 Collect the terms in -4*j**3 + 20*j**3 - 2*j**2 + 0*j**2. 16*j**3 - 2*j**2 Collect the terms in -259*v**3 - 13*v + 13*v. -259*v**3 Collect the terms in -41 - 5*d + 89 - 48. -5*d Collect the terms in -5 - 78 - 30 + 2*a**2. 2*a**2 - 113 Collect the terms in -1024252 - 2*c**2 + 1024252. -2*c**2 Collect the term...
{ "pile_set_name": "DM Mathematics" }
))/((v**(-2/19)/v)/(v**(-3)*v)*(v*v**0)**(16/3)) assuming v is positive. v**(-2350/57) Simplify (((i*i**(-6))/i**(-7))/(i*(i*i**14)/i)**(-2/31))**(-12) assuming i is positive. i**(-1104/31) Simplify l**(-7)/((l/l**(-2/13))/l)*(l*l/(l/(l**1*l))*l)/(l*l**(-7)*l)*(((l**(-5/2)*l)/l)/((l/(l/(l*(l*l**1)/l)*l))/l))**(-2/33) a...
{ "pile_set_name": "DM Mathematics" }
. Determine p(41). 55 Let v(s) = -107*s**2 + s + 3. Calculate v(1). -103 Let d(z) = 20*z**3 - z**2 - 6*z + 6. Give d(1). 19 Let z(k) = 15*k**2 - 225*k + 5. What is z(15)? 5 Let k(l) = l**3 - 4*l**2 - 7*l + 39. Calculate k(5). 29 Let o(d) = -2189*d - 19722. Determine o(-9). -21 Let s(c) = -c**3 + 11*c**2 + 95*c + 151. C...
{ "pile_set_name": "DM Mathematics" }
264 What is the common denominator of 47/42348 and -125/36? 127044 What is the common denominator of -101/784 and -71/118874? 950992 Find the common denominator of 59/17472 and -133/12. 17472 Find the common denominator of 29/948 and 117/54194. 325164 What is the least common multiple of 15128 and 359290? 1437160 What ...
{ "pile_set_name": "DM Mathematics" }
2 v. 15/28 What is prob of picking 4 x when four letters picked without replacement from xxxxx? 1 Three letters picked without replacement from ffpfpfdpdpfd. What is prob of picking 3 p? 1/55 Three letters picked without replacement from {r: 1, w: 1, f: 5, b: 4}. Give prob of picking 1 b and 2 f. 8/33 Calculate prob of...
{ "pile_set_name": "DM Mathematics" }