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+ 43*v. Differentiate t(x) with respect to x. -8*x**3 - 34*x Let k be (50/8 + -3)*8. Suppose 31 = 5*g - 3*g - 3*p, -k = -2*g + 2*p. What is the third derivative of -g*r**4 + r**2 - 3*r**4 + 3*r**4 wrt r? -192*r Let o(m) be the third derivative of 20/3*m**3 + 4/105*m**7 + 0*m**5 + 0 + 0*m - 27*m**2 + 0*m**6 + 0*m**4. Di...
{ "pile_set_name": "DM Mathematics" }
-2)/a? 2 Suppose m - 2 = -2*v, 3*v + 15 = 2*m + m. Let g be 239/2 - (21/6 + -4). Suppose -k - m*f - 6 + 21 = 0, -4*k + g = -4*f. List the prime factors of k. 3 Let i = 1471 - 452. What are the prime factors of i? 1019 Suppose 4*p - 1420 = 29*x - 32*x, -2*p = 2*x - 946. What are the prime factors of x? 2, 59 Let w = -3 ...
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 2 j? 2/21 Three letters picked without replacement from mmmmcgmmm. What is prob of picking 3 m? 5/12 What is prob of picking 2 t and 1 d when three letters picked without replacement from oooodtottoddoodoodt? 10/323 Three letters picked without replacement from {e: 9}. Give prob of picking 3 e....
{ "pile_set_name": "DM Mathematics" }
12. Let m(t) = -t**3 - t**2 - 10. Calculate j(d) - 7*m(d). -3*d**3 + d**2 + d + 82 Let l(z) = 5*z**3 - 1041*z**2 - 6*z + 3. Let g(s) = -7*s**3 + 1039*s**2 + 8*s - 4. Calculate 3*g(p) + 4*l(p). -p**3 - 1047*p**2 Let z(a) = 2252*a**2 - 38*a - 18. Let t(v) = -250*v**2 + 4*v + 2. Give 19*t(l) + 2*z(l). -246*l**2 + 2 Let o...
{ "pile_set_name": "DM Mathematics" }
247 Calculate the highest common divisor of 1661 and 4444. 11 What is the highest common divisor of 11905 and 475? 5 What is the highest common factor of 6903 and 3? 3 What is the highest common factor of 130740 and 336? 12 What is the greatest common divisor of 2338 and 98? 14 Calculate the highest common factor of 6...
{ "pile_set_name": "DM Mathematics" }
ithout replacement from ycyykckdykqykyy. What is prob of sequence yqk? 2/195 What is prob of sequence jrr when three letters picked without replacement from rhhjhphrh? 1/252 Calculate prob of sequence rk when two letters picked without replacement from {x: 1, r: 1, j: 1, k: 4, y: 1}. 1/14 Calculate prob of sequence wwx...
{ "pile_set_name": "DM Mathematics" }
. Let h(d) = -4*d + 10*d + d - 2*d**3 + 3*d**k - 7*d**2. Give h(6). 6 Suppose 18*t - 32 = 16*t. Suppose -t - 26 = -6*y. Let h(n) = -4*n + 1. Determine h(y). -27 Let o(q) = -55*q**2 - 1 - 3*q**3 + 57*q**2 - 3*q**3. Let f be o(1). Let a(s) = -s - 5. What is a(f)? 0 Let f(g) be the first derivative of -2*g - g**2 - 6 - 1/...
{ "pile_set_name": "DM Mathematics" }
unded to two decimal places? -0.5 What is 84.14 rounded to the nearest 10? 80 Round 0.00061946 to six dps. 0.000619 What is -0.0017876 rounded to 4 decimal places? -0.0018 Round 0.3765 to 2 dps. 0.38 What is -51010000 rounded to the nearest one million? -51000000 What is -0.03053 rounded to 2 dps? -0.03 What is -0.0018...
{ "pile_set_name": "DM Mathematics" }
ase 5) in base 4? -1122 1 (base 2) to base 13 1 Convert -1a (base 15) to base 3. -221 What is -4 (base 5) in base 15? -4 Convert -2 (base 16) to base 15. -2 13 (base 5) to base 2 1000 Convert -3 (base 13) to base 4. -3 -2 (base 7) to base 13 -2 Convert 67 (base 11) to base 5. 243 Convert 35 (base 7) to base 10. 26 110 ...
{ "pile_set_name": "DM Mathematics" }
- 6*f Let t(v) be the second derivative of v**3 - v**2/2 + 561*v. Let d(o) = -7*o + 1. Calculate -3*d(b) - 2*t(b). 9*b - 1 Let i(m) = 9*m - 39. Let t(k) = 6*k - 11*k + 25 + 2*k - 12. Calculate 2*i(b) + 7*t(b). -3*b + 13 Let n(l) = 2*l - 2. Let y(q) be the first derivative of -q**2/2 - 102. Let v = 1 - 2. What is v*n(k)...
{ "pile_set_name": "DM Mathematics" }
2/55 Calculate prob of picking 3 g when three letters picked without replacement from ndnddddggggdnnngddnn. 1/114 Three letters picked without replacement from rrffprfplpf. What is prob of picking 2 f and 1 r? 6/55 What is prob of picking 2 f when two letters picked without replacement from {j: 3, f: 5}? 5/14 What is p...
{ "pile_set_name": "DM Mathematics" }
7*z**2 + 4*z + 2. Let n(s) = 193135*s**2 - 2166*s - 1083. Let w(i) = 1083*d(i) + 2*n(i). Give w(h(j)). -361*j**4 Let v(o) = -2*o. Let j(z) = 9*z + 56. Let m be j(-6). Let t(d) = 15*d**2 + 8*d**2 - 8*d**2 + 2*d**m. Give v(t(l)). -34*l**2 Let x(v) = -40*v**2. Let c(b) = -15*b - 11. Let j(f) = -8*f - 5. Let y(o) = -4*c(o)...
{ "pile_set_name": "DM Mathematics" }
16 (b) -0.068855 (c) 2 b What is the nearest to 1 in 0.041, 2, -1904.86, -2/7, -1/4? 0.041 Which is the closest to 1? (a) 4/11 (b) -1 (c) -3 (d) 2146 a Which is the nearest to 0.038? (a) -6.2 (b) 0.1 (c) -832 b What is the closest to 0 in -153420, 1/2, -3/2, 0.025? 0.025 Which is the closest to -0.1? (a) -1/...
{ "pile_set_name": "DM Mathematics" }
nder when 261388 is divided by 2. 0 Calculate the remainder when 9891672 is divided by 1648591. 126 Calculate the remainder when 32118372 is divided by 572. 0 What is the remainder when 95153455 is divided by 299? 293 What is the remainder when 403504 is divided by 374? 332 Calculate the remainder when 6407476 is divid...
{ "pile_set_name": "DM Mathematics" }
g order. t, -3, y Let o = 0.29 + -0.14. Sort o, 1, 4. o, 1, 4 Suppose -79*a + 42*a + 111 = 0. Put 7, -3, 0, a in ascending order. -3, 0, a, 7 Suppose 0*v + 5*r + 41 = -2*v, -5 = r. Suppose -4*j - 10 = 6. Let g be (28/(-42))/(2/(-12)). Put g, j, v in ascending order. v, j, g Let p = -0.008 - -1.378. Let l = p + -1.3. Le...
{ "pile_set_name": "DM Mathematics" }
2). Determine f(k). 4 Let h(w) be the first derivative of -w**3/3 - 5*w**2/2 + w - 87. Calculate h(-7). -13 Let g(x) = -x - 2. Let l = -22 - -24. Let b be (3 + (4 - 7))/l. Let c = b + -1. Determine g(c). -1 Let k = 13 + -8. Suppose -k*m = -5*l + 2*l - 44, -4*m + l + 31 = 0. Let g be (-9 - 1)*m/(-14). Let z(i) = -i**3 +...
{ "pile_set_name": "DM Mathematics" }
osite number? True Suppose -5*u = -41 + 16. Let b = -6 + u. Is (-3)/b - (-289 + -1) composite? False Let z(s) be the first derivative of 9*s**3 - 3*s**2/2 - s + 15. Is z(-2) composite? False Let u = 42 - 47. Let v(s) = -31*s + 23. Is v(u) a composite number? True Suppose -y - 731 = -2212. Is y a prime number? True Let ...
{ "pile_set_name": "DM Mathematics" }
lse Let s(o) = 6*o - 15. Let n be s(-8). Let b be (n/(-2) - (-14)/(-28)) + 0. Is 33 <= b? False Suppose -5*h + 9 = 4*t, 2 + 17 = -t + 3*h. Let s be (t + 6 + -3)*(-3)/(-3). Is s equal to -3? False Suppose -3 = -2*p + t + 20, -4*t = -p + 29. Suppose -6*k + p = -3*k. Suppose k*q + 8 = 5. Are q and 0 non-equal? True Let d ...
{ "pile_set_name": "DM Mathematics" }
695.94 + 857. -16332838.94 What is -4 + 250318965990? 250318965986 What is 73808775421961 - 0.4? 73808775421960.6 What is -133 - -198435.386308? 198302.386308 What is 96 + -291113925241? -291113925145 Calculate -587606512386 + -3. -587606512389 Add together 24816504 and -39181. 24777323 Total of 0.5 and 388636.818878. ...
{ "pile_set_name": "DM Mathematics" }
he tens digit of g(x)? 1 Let y(x) = -x**3 + 9*x**2 + 9*x + 13. Let v be y(10). What is the units digit of 1/v + 4/6? 1 Let q = 5 + 13. What is the units digit of q? 8 Suppose 0 = -2*i - 0*i + 5*k + 55, 0 = -2*k - 10. Suppose 5*n = 3*b - 34, 0 = b + b + 5*n + 19. Let l = i - b. What is the tens digit of l? 1 Let z(u) = ...
{ "pile_set_name": "DM Mathematics" }
/54 (b) 2/33 (c) 71 a What is the third biggest value in -0.072, -4/5, 0.1, -5/3, -2/43? -0.072 Which is the third biggest value? (a) 87/131 (b) 1/7 (c) 0.03 c What is the biggest value in -6/4801, 3, -10? 3 Which is the third smallest value? (a) -15 (b) 2.3 (c) 6/13 (d) -2/11 c What is the second smallest val...
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 1374 What is the square root of 308985 to the nearest integer? 556 What is 4397954 to the power of 1/6, to the nearest integer? 13 What is 1915046 to the power of 1/2, to the nearest integer? 1384 What is 188272 to the power of 1/6, to the nearest integer? 8 What is the fourth root of 227771 to ...
{ "pile_set_name": "DM Mathematics" }
t v? -57049479 Find the first derivative of 6*v**2*x**4 - 13274776*v**2*x - 1019420072*v**2 wrt x. 24*v**2*x**3 - 13274776*v**2 What is the first derivative of 3424397*d*l*n - d*l*t - 1268*d*n*t - 3*l*n*t + 267*n - 2 wrt l? 3424397*d*n - d*t - 3*n*t Find the third derivative of -1287510414*y**5 + 69196*y**2 - y + 166. ...
{ "pile_set_name": "DM Mathematics" }
v - 6. Let o be h(2). Suppose -47*w - 12387 + 33678 = o. Is w a multiple of 5? False Suppose -2*j - 5*g = -7*j + 204475, 4*g = 3*j - 122688. Is j a multiple of 35? False Let l = -1232 - -1666. Is 3 a factor of l? False Suppose -71*l + 2534 + 63922 = 0. Is l a multiple of 36? True Let u(k) = 452*k**2 - 266*k - 2. Is 143...
{ "pile_set_name": "DM Mathematics" }
+ v**2 + 526*v. Factor n(o). (o + 6)**2*(6*o + 1)**2/3 Let z(d) be the third derivative of 121/28*d**4 - 33*d**2 + 11/70*d**5 + 0*d + 1331/21*d**3 + 1/420*d**6 + 0. Solve z(n) = 0 for n. -11 Let y = 38/7 + -83/14. Let u = y - -9/14. Factor -1/7*l**2 + 0 + u*l**3 + 0*l. l**2*(l - 1)/7 Suppose 2*k = 2*v, v - 3*v + 14 = 5...
{ "pile_set_name": "DM Mathematics" }
- 89/15*c**3. Find g, given that h(g) = 0. -1/6, 1/3, 10 Let k(c) be the third derivative of c**6/480 - 9*c**5/20 + 71*c**4/32 - 53*c**3/12 + 18*c**2 - 14*c. Factor k(t). (t - 106)*(t - 1)**2/4 Suppose -14 - 321 = -5*l. Let o be (210/33)/(-2) + l + -62. Suppose 24/11*m**2 + 2/11*m**4 + o*m + 6/11 + 12/11*m**3 = 0. What...
{ "pile_set_name": "DM Mathematics" }
ut replacement from {g: 1, q: 2}. Give prob of picking 1 g and 1 q. 2/3 Calculate prob of picking 2 j and 1 v when three letters picked without replacement from jvkkkjvvvvvjjjvv. 1/7 Three letters picked without replacement from hzbsjba. What is prob of picking 1 z, 1 b, and 1 s? 2/35 Two letters picked without replace...
{ "pile_set_name": "DM Mathematics" }
= -15 for n. 5 Solve 4196*r = 4181*r + 30 for r. 2 Solve -106 + 138 = 8*k for k. 4 Solve 387 = 92*i - 349 for i. 8 Solve -5*s - 35 = 2*s for s. -5 Solve 6*d + 60 - 54 = 0 for d. -1 Solve -a = 51 - 56 for a. 5 Solve 0 = 50*q - 46*q for q. 0 Solve 3*w = -0*w + 2*w for w. 0 Solve r + 4 = 4 for r. 0 Solve -5*b - 15 = -0 fo...
{ "pile_set_name": "DM Mathematics" }
1 + 0.0949. Which is the closest to 1/2? (a) 6 (b) x (c) 5/4 b Let q be 1/(-25)*5*(-2 + 7). What is the closest to -1/3 in q, -4, 8? q Let f = 31.2 + -30. Let z = f - 0.2. Which is the nearest to 1? (a) -3 (b) z (c) 0.4 b Let d = 72 + -121. Let t be (-26)/(-14) + (-7)/d. Let x be (t/12)/((-8)/(-32)). Which is the...
{ "pile_set_name": "DM Mathematics" }
ue Is 946 < 967? True Is 2/51 <= -7.7? False Is 12/3167 less than 277? True Which is greater: 260042 or 260040? 260042 Which is greater: 1 or 2/39265? 1 Is -83.7 <= -1.26? True Which is smaller: 1 or -2/578033? -2/578033 Is 866 <= 71031/82? True Which is smaller: -5/2708231 or -1? -1 Is 6781 at most as big as -0.9? Fal...
{ "pile_set_name": "DM Mathematics" }
(b) 2/5 (c) 0.179 (d) 1/5 (e) 0 (f) 4 e What is the closest to 1 in 13, -0.102, -2/11, 0, 138? 0 Which is the closest to 0? (a) -3 (b) 4 (c) -13 (d) -0.04 (e) -284 (f) 1/7 d Which is the nearest to 1.461? (a) 4/9 (b) -0.735 (c) 0.5 c Which is the closest to -0.1? (a) -15 (b) 1 (c) -11944/21 (d) -1 d Wh...
{ "pile_set_name": "DM Mathematics" }
the tens digit of t/(-12) + 2 + 1? 4 Let q(k) = 51*k**2 + 13*k - 37. What is the tens digit of q(4)? 3 What is the hundreds digit of 12650/14 - 81/(-189)? 9 What is the units digit of (-6)/3*(-2 - 42) + -1? 7 Let a = -9 - -11. Suppose f - a - 2 = 0. Suppose -4*v + 2*q + 40 = 0, -3*v + 0*q = -f*q - 20. What is the tens...
{ "pile_set_name": "DM Mathematics" }
695? -1030 What is the next term in -22, -182, -452, -832, -1322? -1922 What comes next: 66400, 531225, 1792888, 4249807, 8300400, 14343085? 22776280 What comes next: 10, 536, 1410, 2632? 4202 What is next in -8579, -17036, -25489, -33938? -42383 What is next in 81, 40, -113, -372, -731, -1184, -1725? -2348 What is nex...
{ "pile_set_name": "DM Mathematics" }
derivative of 1/84*i**4 + 3*i**2 + 0*i**3 + 0 + 0*i - 1/210*i**5. Factor j(m). -2*m*(m - 1)/7 Let h be 320/60 - (4 + 1). Factor -h - 1/6*l**2 - 1/2*l. -(l + 1)*(l + 2)/6 Let f(v) = v**4 + v**3 + v**2 - v + 1. Let l(g) = 9*g**4 + 258*g**3 + 7944*g**2 + 111126*g + 583449. Let m(t) = 6*f(t) - l(t). Suppose m(x) = 0. Calc...
{ "pile_set_name": "DM Mathematics" }
lve 12*p + 2*p + 5*p - 375 = 24*p for p. -75 Solve 12 + 2452 - 495 = -179*u for u. -11 Solve -42*f - 423 + 431 - 275 = 783 for f. -25 Solve 199*j - 684*j - 1571 = -7876 for j. 13 Solve -1357*n - 2815*n = 2984*n + 2026*n + 468282 for n. -51 Solve -190494 = 4354*o - 7696*o for o. 57 Solve -8020 = 2645*c - 52985 for c. 17...
{ "pile_set_name": "DM Mathematics" }
4108797, 73648077? 96193399 What is next in -1780263, -1780306, -1780385, -1780506, -1780675, -1780898, -1781181, -1781530? -1781951 What is the next term in -36625548, -73251094, -109876640, -146502186? -183127732 What comes next: -142627, -570293, -1283003, -2280757? -3563555 What is the next term in 112, 1460, 5266,...
{ "pile_set_name": "DM Mathematics" }
Suppose -450 = -8*f - 58. Is (-33 + f)/(-2 + 1 - -2) a multiple of 10? False Suppose -5*j + 9*y - 8*y + 9991 = 0, 5*j + 2*y = 9973. Is j a multiple of 37? False Let f(v) = 25*v**2 - 27*v + 16. Let j be f(8). Suppose 2*a = -216 + j. Does 16 divide a? True Suppose -420*r = -437*r + 41055. Is 105 a factor of r? True Supp...
{ "pile_set_name": "DM Mathematics" }
= 16 + -7. Let f = c + -10. Let a be 1/(-2)*(2 - -2). Sort a, 1, f in ascending order. a, f, 1 Let j = -19 - -15. Let t be ((46/j)/1)/2. Let m = t + 107/20. Sort -1/3, -4/3, m in descending order. -1/3, m, -4/3 Let h = 4.7 - 0.7. Let i = -0.03 - 0.13. Let q = -5.16 - i. Sort q, h, 1/6 in increasing order. q, 1/6, h Su...
{ "pile_set_name": "DM Mathematics" }
iate -5*k**i + 2*k**2 + 7 - 2*k**2 with respect to k. -10*k Suppose 12 = 8*d - 4*d. Suppose -4*b - 2*n + 10 = 0, 3*b - 6 = n + 4. What is the first derivative of d*o - 3*o - 4 - b*o**2 - 3 wrt o? -6*o Let s(w) = -182*w**4 + 277*w**2 + 5. Let r(h) = -180*h**4 + 277*h**2 + 6. Let d(a) = -5*r(a) + 6*s(a). Find the third d...
{ "pile_set_name": "DM Mathematics" }
l**2 + r*l**3 + o + g*l + n*l**4 and give n. -128 Rearrange -25*y - 26*y + 52*y + 12 to the form j*y + a and give j. 1 Express 2*n**2 - 2*n**2 - 6*n**2 + n**2 in the form h*n**2 + k + y*n and give h. -5 Rearrange (-2*h - 13*h**2 + 20*h**2 - 10 - 10*h**2)*(1 - 1 + 1) to n*h + w + t*h**2 and give n. -2 Rearrange 2*s**2 -...
{ "pile_set_name": "DM Mathematics" }
is the smallest value in 2, m, -4? -4 Suppose 12 - 3 = -j - 4*t, 3*j + 3*t + 18 = 0. Let i = -27.7 - -3.7. Let w = i - -23.6. What is the second smallest value in j, w, 0? w Suppose -2*o + 5*d + 29 = 0, 4*o - 5*d + 3*d = 18. Let m be (-46)/(-14) + 286/(-1001). Let w = -8 + 7.7. Which is the second biggest value? (a) ...
{ "pile_set_name": "DM Mathematics" }
3406 Is 2/430396803 != 0? True Is 7 equal to -2438947? False Is 3743016 bigger than 3742997? True Which is bigger: -36508 or -36744? -36508 Are 0 and 11272/106053 unequal? True Is 0.02 smaller than -2956015? False Which is smaller: -3992 or -10514? -10514 Which is smaller: -1 or 2/392713371? -1 Which is smaller: 0.2 or...
{ "pile_set_name": "DM Mathematics" }
207.1 in ascending order. -0.3, -0.1, 2/3, 207.1 Sort -4, 5, 33 in decreasing order. 33, 5, -4 Put -9, -0.3, -2/9, -4 in ascending order. -9, -4, -0.3, -2/9 Sort -3/8, -2, 1/17, 2 in descending order. 2, 1/17, -3/8, -2 Sort 6, -63, 3, 5, -5 in descending order. 6, 5, 3, -5, -63 Put -1, 2, 6, -5, 5 in descending order....
{ "pile_set_name": "DM Mathematics" }
2 r? 36/91 Two letters picked without replacement from ekdededededddkdeddd. Give prob of picking 2 d. 55/171 Three letters picked without replacement from {n: 3, i: 2, p: 2, o: 3, q: 3}. What is prob of picking 3 q? 1/286 What is prob of picking 2 w and 2 d when four letters picked without replacement from dwwwwwwdwww...
{ "pile_set_name": "DM Mathematics" }
ple of 3? False Let v(z) = z**2 + 2*z. Let y be v(-3). Suppose -l + y*l - 2*t - 38 = 0, -4*l = t - 51. Is 4 a factor of l? False Let x(y) = y**3 + y**2 + y + 1. Let l be x(-1). Is 21 a factor of 47 + -1 + l/6? False Let g(s) = 4*s**2 + 3*s - 2. Suppose -2 = -2*d - 3*h - 10, -d - 5*h = 18. Let m be d/7 + 12/7. Does 7 di...
{ "pile_set_name": "DM Mathematics" }
ed by (24*(-8)/(-24))/((-4)/(-18)). 34 Suppose 4*a + 5*k = 9812, -a = 3*k + 1474 - 3913. What is the remainder when a is divided by 147? 111 Suppose 5*s = -12*n + 16*n + 40, 5*n = -s - 21. Suppose -2*u + 822 = s*u. Calculate the remainder when u is divided by 7. 4 Suppose 4*w - w - 17 - 307 = 0. What is the remainder w...
{ "pile_set_name": "DM Mathematics" }
4 + 3))*-1. Let t be w(l). Suppose -t = 4*q + 2. Which is smaller: -8/3 or q? q Let x(j) be the third derivative of j**5/60 - j**4/6 + j**3/6 - 19*j**2. Let p be x(-2). Which is smaller: 15 or p? p Let v(j) = j**2 - 6*j + 8. Let c be v(6). Let s be (76/6)/(c/12). Let r = 11 - s. Is -8 smaller than r? False Suppose 92*u...
{ "pile_set_name": "DM Mathematics" }
*3 + f*n + l*n**2 and give l. 6 Rearrange (-680 - 900 - 185 + 452)*(3*g - 3*g - 2*g) to the form q + p*g and give p. 2626 Express 1 - 4*u**2 - 2*u**3 + 4*u**3 - 18*u + 4*u**2 - 2 as o*u**2 + l*u + z + t*u**3 and give l. -18 Rearrange -11*z**3 - 33 + 3*z**3 + z - 3*z**2 - 3*z**3 + 32 to i*z**2 + h*z**3 + r*z + d and giv...
{ "pile_set_name": "DM Mathematics" }
/24221 3 divided by 14407 3/14407 1 divided by -1868 -1/1868 -2 divided by -43514 1/21757 Divide -604098 by 6. -100683 Divide 1364920 by 682460. 2 What is 1654954 divided by 1? 1654954 -5 divided by 12749 -5/12749 Divide 64440 by 180. 358 Calculate -213780 divided by -14. 15270 Calculate -187632 divided by -187632. 1 D...
{ "pile_set_name": "DM Mathematics" }
d: 5, i: 4, c: 8}? 1/119 What is prob of sequence dp when two letters picked without replacement from ddddddddpddddpddddd? 17/171 What is prob of sequence pvnv when four letters picked without replacement from {d: 2, c: 1, p: 2, n: 1, q: 7, v: 2}? 1/8190 Two letters picked without replacement from mcciluxmu. What is pr...
{ "pile_set_name": "DM Mathematics" }
+ 6*d(y). Determine o so that i(o) = 0. -2, 0, 2 Let f(y) be the third derivative of y**6/600 + 11*y**5/60 + 104*y**4/15 + 338*y**3/5 + 968*y**2. Let f(u) = 0. Calculate u. -26, -3 Let n(o) be the first derivative of -35*o**3/3 - 39435*o**2/2 + 11270*o + 601. Factor n(y). -5*(y + 1127)*(7*y - 2) Let h = 3/28496 - -911...
{ "pile_set_name": "DM Mathematics" }
duct of -8065.424 and -2? 16130.848 Product of -53918 and -0.346. 18655.628 Calculate -2*3941784. -7883568 Work out -2064851 * 0.1. -206485.1 3 times 167131.9 501395.7 Calculate -65411.526*1. -65411.526 What is the product of -3.78 and -35.2517? 133.251426 -0.5*-0.0425219 0.02126095 Multiply 141956 and 331. 46987436 -2...
{ "pile_set_name": "DM Mathematics" }
e Does 598 divide 3632698706? True Is 4909873860 a multiple of 27? True Is 252 a factor of 12080996? False Is 529485894 a multiple of 1179? False Is 255926229 a multiple of 7417? False Is 63133460 a multiple of 860? True Is 1028332458 a multiple of 127? False Does 40 divide 41364190? False Is 168105261 a multiple of 36...
{ "pile_set_name": "DM Mathematics" }
14*z + 238 - 238. Suppose 0*b - 2*b = q - 1, -q = 5. Let h(o) = -b*o + o + o. Give h(n(f)). 14*f Let u(j) = -4*j - j + 19 - 14 - 11 - 3. Let k(p) = p**2. What is k(u(h))? 25*h**2 + 90*h + 81 Let v(l) = 2*l**2. Let o(h) = -2*h + 10. Let w be o(6). Let r(t) = -t. Let p(j) = -6*j. Let g(f) = w*r(f) + p(f). Give g(v(a)). -...
{ "pile_set_name": "DM Mathematics" }
. Suppose -336 = -20*z + 13*z. Let x be (3/(-10))/(z/40). Which is the biggest value? (a) 0.5 (b) x (c) h c Suppose 5*g - 2 = 6*g - 5*i, 4*i = -4*g - 8. What is the third biggest value in -69, g, -5? -69 Let l = 7.36 + -7.16. Which is the second biggest value? (a) -0.5 (b) l (c) 0.1 (d) -9 (e) -6/7 c Let l(w) =...
{ "pile_set_name": "DM Mathematics" }
*(-4)/12)/2. Suppose -4*f - 4*l = 28, 5 = -3*f - l - 14. Let o be (4/f)/(4/6). Which is the closest to v? (a) 1 (b) o (c) 2 a Let n = 5 + -5.2. Let o = n + 0.2. Let y = 0.1 - 5.1. Which is the closest to o? (a) 2 (b) -3 (c) y a Let r = 0.9 + -1. Let o = 0.04 + 3.96. Let d = 6 - o. Which is the closest to 1? (a) ...
{ "pile_set_name": "DM Mathematics" }
Let x be (-93 + -1)/(0 + -1). Suppose 127 = -2*v + 13. Let b = x + v. Is b prime? True Let b(o) = 17*o**3 + 3*o**2 + 4*o. Let t(n) = 52*n**3 + 8*n**2 + 11*n. Let a(p) = 11*b(p) - 4*t(p). Let w be a(-1). Let z = 43 - w. Is z composite? True Suppose -p + 0*p = -a - 462, -894 = -2*p - 4*a. Is p a composite number? False ...
{ "pile_set_name": "DM Mathematics" }
) = i**3 - 3*i**2 + 2*i - 1. Give d(k). 5 Let o(f) = -f**2 - 7*f - 1. Let a(j) = -7*j**2 - 35*j - 16. Let v(m) = -a(m) + 6*o(m). What is v(9)? 28 Suppose 6 = -x - 0*x + 3*a, -4*x = a - 41. Let f = x - 21. Let s be (-3)/f + 10/(-8). Let p(k) = -12*k**2 + k + 1. Determine p(s). -12 Let b(y) be the third derivative of y**...
{ "pile_set_name": "DM Mathematics" }
e remainder when 1626437 is divided by 8471. 5 Calculate the remainder when 2053995 is divided by 2053970. 25 Calculate the remainder when 258857 is divided by 42. 11 Calculate the remainder when 85553 is divided by 90. 53 What is the remainder when 36939 is divided by 36782? 157 Calculate the remainder when 23789230 i...
{ "pile_set_name": "DM Mathematics" }
= -s - 6. Sort m, 4, 3. m, 3, 4 Suppose 2*b = 2*s + 2, b + b = 5*s - 10. Let p be 11/5 + (-5)/25. Suppose -a + 1 = p*a + t, -a = t + 1. Put -4, s, a in descending order. s, a, -4 Let x = 1649/4974 - -3/1658. Sort 0.052, x, 2/11, -4 in descending order. x, 2/11, 0.052, -4 Let i = -0.73 + 0.93. Sort 1, i, 6 in increasin...
{ "pile_set_name": "DM Mathematics" }
biggest value? (a) 0 (b) -0.7 (c) 2/3 a Which is the second smallest value? (a) -2/7 (b) 2 (c) -3/4 (d) 0 (e) 50 a Which is the third biggest value? (a) 0.04 (b) 3/7 (c) 3 (d) -5 (e) -7 a Which is the third smallest value? (a) 4/5 (b) -29 (c) 1 c What is the fourth biggest value in -2/3, -215, -0.3, 1/...
{ "pile_set_name": "DM Mathematics" }
hat is -2965930 rounded to the nearest one hundred thousand? -3000000 Round 2101.4 to the nearest ten. 2100 What is -0.002507 rounded to 4 decimal places? -0.0025 Round 0.44149 to two decimal places. 0.44 Round -0.00008737 to 6 decimal places. -0.000087 What is 21.26 rounded to zero dps? 21 Round 0.304 to one decimal p...
{ "pile_set_name": "DM Mathematics" }
What is the smallest value in q, -5/3, r? r Let a = 10 - 8. Let s = 5 + 0. What is the smallest value in s, a, -2? -2 Let z = 84.8 + -96. Let f = z - -11. Which is the third biggest value? (a) 4 (b) 2 (c) f c Let z = 14 - 16. Let v = z + 2.2. Let o = 71 + -211/3. What is the third smallest value in o, v, -5? o Let ...
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of j? 2 Let f(v) = 3*v**3 - v**3 + v**3 + 7*v**2 - 2*v**3 + 7*v + 9. What are the prime factors of f(-6)? 3 Let d(c) = -31*c - 2. List the prime factors of d(-10). 2, 7, 11 Suppose 6*s + 4 = 2*s - f, -4 = -2*s + f. Suppose 5*m + 18 = -2*j, 2*j + 16 = -4*m - s*j. List the prime factors of (-11...
{ "pile_set_name": "DM Mathematics" }
f**4 - 4*f + 3*f + 8*f**2 to s*f**3 + x*f**2 + y + a*f**4 + z*f and give x. 2 Rearrange (337*i + 331*i + 2*i**2 - 670*i - 10)*(3*i - 2*i - 2*i) to b*i**3 + q*i**2 + r + s*i and give r. 0 Express -4*w - w - 2*w as y + z*w and give z. -7 Express (1 - 1 + 4)*(-z + 53 - 53) as i*z + f and give i. -4 Rearrange 2*n - 2*n**3 ...
{ "pile_set_name": "DM Mathematics" }
1)? False Suppose 3*z = 4*z. Suppose -2*f + 0*f + 40 = z. Is f a multiple of 10? True Let g = 232 - 138. Suppose 4*b - 34 - 162 = 2*a, a = -2*b + g. Is 18 a factor of b? False Let l = 8 - -2. Let o = l + -2. Is o a multiple of 8? True Suppose -3*y = 2*k - 187, 120 = 2*k + y - 77. Let l = -65 + k. Does 9 divide l? True ...
{ "pile_set_name": "DM Mathematics" }
= 0, -v*t - 4 = 2*b for b. 3 Let u be (5 + 0)/5 + -1. Solve u = -g + 3, -12 = h - 4*g for h. 0 Let f(y) = -y**2 - 2*y - 3. Let u be f(-3). Let s = u + 1. Let z be s + 3 - 12/(-2). Solve 0*d = v - 5*d + 24, 5*v + 15 = z*d for v. 1 Let h be 1/(-5) - (-64)/20. Solve h*a = 5*q + 10, -5*a - 3*q = -0*a - 28 for a. 5 Let x b...
{ "pile_set_name": "DM Mathematics" }
+ 2*w + 7*w - 1 + 2*w**3. Let r be y(u). Are -1/4 and r nonequal? True Let p(h) = -5*h - 51. Let a be p(-24). Which is greater: a or 67? a Let k = -33067/19 + 1741. Let l = k - 53/114. Is l bigger than 0? True Suppose -821*a + 160 = -816*a. Let s(i) = -i**2 + 11*i. Let l be s(6). Is a < l? False Let t be (-3)/6*1*-2. ...
{ "pile_set_name": "DM Mathematics" }
(637) + sqrt(637) + -2. 14*sqrt(13) + 58 Simplify (sqrt(936) - (sqrt(936) + (sqrt(936)*-1 + sqrt(936))*-5 - sqrt(936)))/(sqrt(8)/(-1*sqrt(4)) + sqrt(50)*2). 2*sqrt(13)/3 Simplify ((sqrt(50)*2 - sqrt(50) - sqrt(50))*3 - (sqrt(50) + (sqrt(150) - -1*sqrt(150))/sqrt(3)))/(-1*sqrt(250) + (sqrt(1210)*2 - sqrt(10))). -3*sqrt(...
{ "pile_set_name": "DM Mathematics" }
of 0*i**2 + 1/28*i**4 + 6*i - 1/14*i**3 + 7. Let g(y) be the first derivative of r(y). Let g(t) = 0. Calculate t. 0, 1 Let n(u) be the first derivative of u**4/22 - 64*u**3/33 + 89*u**2/11 - 116*u/11 - 3858. Find q such that n(q) = 0. 1, 2, 29 Factor 10/3 - 1/6*r**4 + r**3 + 8*r + 35/6*r**2. -(r - 10)*(r + 1)**2*(r + ...
{ "pile_set_name": "DM Mathematics" }
nearest ten? -30 Round -1918613 to the nearest 1000. -1919000 What is 18877.67 rounded to the nearest one thousand? 19000 What is 0.26862348 rounded to 4 decimal places? 0.2686 Round -0.02232151 to three decimal places. -0.022 What is -1143783 rounded to the nearest 1000? -1144000 What is -1385569000 rounded to the ne...
{ "pile_set_name": "DM Mathematics" }
5, 1, 197, 0, -2 in decreasing order. 197, 1, 0, -2, -4, -15 Sort -3, 188, -0.1, 0.2, -1 in descending order. 188, 0.2, -0.1, -1, -3 Sort -12, -10, -4, -5 in increasing order. -12, -10, -5, -4 Sort -0.1, 0.1, -88582 in decreasing order. 0.1, -0.1, -88582 Put -11, -2/3, -1, 308 in descending order. 308, -2/3, -1, -11 Pu...
{ "pile_set_name": "DM Mathematics" }
ify (w/w**(-7)*w*w*w/(w*w/(w**(-2/29)/w)))/(w**1)**8 assuming w is positive. w**(-2/29) Simplify (g*g/((g/g**(1/11))/g))/(g/g**(-13))*g**(-18)/g**(-5) assuming g is positive. g**(-274/11) Simplify (s*s/s**(13/2))/(s**(-3/7)*s)*s**(-2/15)*(s*s/(s/s**(-4/9)))/s assuming s is positive. s**(-3559/630) Simplify m**(10/3)*(m...
{ "pile_set_name": "DM Mathematics" }
of 88/136731 and 41/13405? 683655 Find the common denominator of 15/302797852 and 57/4. 302797852 What is the common denominator of -1/3215070 and 19/714460? 6430140 Calculate the common denominator of 155/2514732 and -109/312. 65383032 Calculate the lowest common multiple of 2876397 and 33201. 1026873729 Calculate th...
{ "pile_set_name": "DM Mathematics" }
6 microseconds to nanoseconds. 83016560 How many micrometers are there in 8/25 of a centimeter? 3200 How many kilometers are there in 6.097183mm? 0.000006097183 How many nanoseconds are there in 0.560389 minutes? 33623340000 How many centimeters are there in thirty-three tenths of a meter? 330 What is 972394.5 centurie...
{ "pile_set_name": "DM Mathematics" }
m be t(k). Find the common denominator of (m/(-3))/((-2)/(-13)) and 145/24. 24 Let x = 35626571/7752 - 78134/17. Calculate the common denominator of x and 41/1368. 1368 Let u(g) = g**3 + 12*g**2 + 12*g + 8. Let m be u(-11). Let i = -463 + 462. What is the common denominator of 274/44 + 2 + i + m and -115/14? 154 Suppos...
{ "pile_set_name": "DM Mathematics" }
+ 1 - (5 + (-3 + (sqrt(12) + 3)*6)**2). -661 - 3601*sqrt(3)/10 Simplify (((sqrt(132)*-1*3 - sqrt(132) - sqrt(132)) + (sqrt(132)*-2 + sqrt(132) + sqrt(132))*-2)*-4)/(1*sqrt(432) - sqrt(48)*-2). 2*sqrt(11) Simplify (((sqrt(243) + 3*sqrt(243))*-4*-2)/(((sqrt(108) - sqrt(108)*2)*-4)/(sqrt(120)/(sqrt(20)/sqrt(2)))))**2. 17...
{ "pile_set_name": "DM Mathematics" }
+ -2*sqrt(3))**2*-2 + sqrt(3). -5 + 12*sqrt(3) Simplify sqrt(35)/(2*sqrt(28)) + sqrt(45)/(3*sqrt(81)). 13*sqrt(5)/36 Simplify (sqrt(77)/sqrt(44)*-4)**2 + 2*sqrt(1008) + -1. 27 + 24*sqrt(7) Simplify (-1 + -1 + sqrt(605) + -3)**2*-2. -1260 + 220*sqrt(5) Simplify -3 + ((sqrt(112) - 2*sqrt(112) - sqrt(112))/sqrt(4))**2. 10...
{ "pile_set_name": "DM Mathematics" }
7*y - 2. Suppose 25*w + 6165 = 30*w. Let d(u) = -w + 2*u - u + 1233. What is 6*d(m) - v(m)? -m + 2 Let v(w) = -23*w**2 - 39*w - 6. Let r(p) = -11*p**2 - 18*p - 3. Let g(s) = -13*r(s) + 6*v(s). Let h(n) = 2*n**2 + 1. Determine 6*g(b) - 17*h(b). -4*b**2 + 1 Let a(t) = -t**2 + t + 1. Let o(u) = -u**2 - 3*u - 3. Let q = -2...
{ "pile_set_name": "DM Mathematics" }
e root of 394 to the nearest integer? 7 What is the tenth root of 7694 to the nearest integer? 2 What is the fifth root of 11049 to the nearest integer? 6 What is 3356 to the power of 1/8, to the nearest integer? 3 What is 954 to the power of 1/2, to the nearest integer? 31 What is 12462 to the power of 1/5, to the nea...
{ "pile_set_name": "DM Mathematics" }
*2 - 21*l + 57. Let z be q(-24). What is the hundreds digit of 167 + (z/5 - -3)? 1 Let q(a) = -3*a**2 - 5*a - 21. Let x(j) = -2*j**2 - 6*j - 20. Let f(b) = 3*q(b) - 4*x(b). Let o be f(8). What is the units digit of 10/2*o*(-2 + 3)? 5 Suppose -596*k = -525*k - 2107067. What is the hundreds digit of k? 6 Let c(n) = 1338*...
{ "pile_set_name": "DM Mathematics" }
he first derivative of -8*y**4 + 3 + 15*y**4 - 18 + 2 wrt y. 28*y**3 Let z(g) be the third derivative of -g**6/24 + g**3/2 + 3*g**2. Differentiate z(o) wrt o. -15*o**2 Suppose 5*u = 15, -5*v + 5*u = -v + 7. Suppose 0 = 2*s - s - 3. What is the third derivative of s*n**v - 4*n**2 + n**6 + 3*n**2 wrt n? 120*n**3 Let p(z)...
{ "pile_set_name": "DM Mathematics" }
d by 1815? 58 What is the remainder when 11028 is divided by 868? 612 Calculate the remainder when 21308 is divided by 48. 44 Calculate the remainder when 147783 is divided by 196. 195 What is the remainder when 3988 is divided by 2? 0 Calculate the remainder when 123692 is divided by 5153. 20 Calculate the remainder w...
{ "pile_set_name": "DM Mathematics" }
4 What is 4 (base 13) in base 16? 4 Convert -1133 (base 5) to base 3. -20020 Convert -442 (base 5) to base 3. -11112 -4 (base 5) to base 7 -4 -6 (base 13) to base 15 -6 Convert 15 (base 14) to base 6. 31 What is -260 (base 11) in base 7? -620 31 (base 7) to base 12 1a Convert 0 (base 14) to base 12. 0 What is 102 (base...
{ "pile_set_name": "DM Mathematics" }
for l. -2 Let s = 70 - 58. Suppose -u - y = 0, -2*u + 0*y + s = -y. Solve 3*p - u*j + 8 = 0, -5 = 4*p - 2*j - 1 for p. 0 Let h(a) = -a**3 + 2*a**2 - a - 1. Let b be h(-1). Solve 0 = -c - 4*m - 9, -b*c + 2*m = -c - 2 for c. -1 Let f(t) = -t**2 - 9*t + 7. Let x be (-166)/18 - (-26)/117. Let v be f(x). Solve 2*w + 3*k + 1...
{ "pile_set_name": "DM Mathematics" }
964, -12854, -12748, -12652, -12572? -o**3 + 4*o**2 + 105*o - 13072 What is the w'th term of -1311293, -1311286, -1311275, -1311260, -1311241, -1311218? 2*w**2 + w - 1311296 What is the d'th term of 105047, 209966, 314895, 419834? 5*d**2 + 104904*d + 138 What is the g'th term of -17891, -143399, -484149, -1147763, -224...
{ "pile_set_name": "DM Mathematics" }
58 = -4*y + 8*y - 2*x. Is 37 a factor of y? True Suppose 99 = -3*m + 519. Does 20 divide m? True Let v = 2 + 8. Does 4 divide v? False Let v(y) = y**3 + 2*y - 1. Let l be v(-3). Let m = 74 + l. Is m a multiple of 14? False Suppose -8*s = -624 - 784. Is 44 a factor of s? True Suppose -k = 4*f + 29, 0*f + 1 = f + 3*k. Le...
{ "pile_set_name": "DM Mathematics" }
e of x**5/15 + 106*x**2. Let h(o) = 5*o. What is h(l(t))? 20*t**2 Let f(t) = -t**2 + 18. Let h(d) = -3*d**2 + 1733*d. Calculate h(f(x)). -3*x**4 - 1625*x**2 + 30222 Let j(m) = 2*m**2 + 3*m - 3. Let a(q) = 11*q**2 + 17*q - 17. Let z(u) = 6*a(u) - 34*j(u). Let h(s) = s + 25. Calculate h(z(b)). -2*b**2 + 25 Let b(g) = -17...
{ "pile_set_name": "DM Mathematics" }
Let g = -7 + p. Let g*i**2 + 2*i**5 + 2*i**2 + 2*i**3 + 0*i**2 - 2*i**4 - 4*i**3 = 0. Calculate i. -1, 0, 1 Let o(u) be the third derivative of -2*u**7/735 - u**6/70 - u**5/35 - u**4/42 - 12*u**2. Determine f, given that o(f) = 0. -1, 0 Let y(o) be the second derivative of o**5/10 + o**4/3 + o**3/3 - 3*o. Suppose y(w) ...
{ "pile_set_name": "DM Mathematics" }
the third derivative of 19*z**3 - 47*z**2 - 2*z**4 + 3*z**4 + 2*z**3 wrt z? 24*z + 126 Let z(q) = 28*q - 5. Let f(n) = -n + 2. Let i(d) = 2*f(d) - z(d). Find the first derivative of i(r) wrt r. -30 Let p(h) = 5*h. Let t(y) = 11*y. Let r(m) = -9*p(m) + 4*t(m). Let d be r(-3). What is the second derivative of 0*b**d - 3...
{ "pile_set_name": "DM Mathematics" }
+ 4*u. What is the second biggest value in g, w, 1? g Let g be (-5 + (-46)/(-9))/(14/27606). Let p = 219 - g. Let h = 0.3 - 0.2. Which is the fourth biggest value? (a) h (b) -4 (c) -1/5 (d) p b Suppose 14*h + 1235 = 1207. Which is the biggest value? (a) 75 (b) h (c) -2/25 (d) -1/6 a Let w = -211.62 + 209. Let s...
{ "pile_set_name": "DM Mathematics" }
3008? c + 3002 What is the t'th term of 51, 62, 73, 84, 95? 11*t + 40 What is the f'th term of 10591, 21182, 31773, 42364, 52955? 10591*f What is the a'th term of -281, -1268, -2921, -5246, -8249, -11936? -a**3 - 327*a**2 + a + 46 What is the k'th term of 44, 91, 136, 179, 220? -k**2 + 50*k - 5 What is the z'th term o...
{ "pile_set_name": "DM Mathematics" }
*f - 8 for x. 2 Let a(w) = -w**2 + 5. Suppose r = 4*j - r - 4, -3*r - 6 = j. Let b be a(j). Solve 4*p = 3*d - 20, -18 - 7 = b*p + d for p. -5 Let i = 12 - 4. Solve a + 3*v - i*v + 5 = 0, v = 3*a + 15 for a. -5 Let k be 478/10 + (-1)/(-5). Suppose 2*q + 5*z = -0*q + k, -2*q + 36 = -z. Suppose -57 = -2*u - q. Solve 4*g =...
{ "pile_set_name": "DM Mathematics" }
96891 List the prime factors of 785706624. 2, 3, 682037 List the prime factors of 64752216. 2, 3, 2698009 What are the prime factors of 90703259? 821, 110479 List the prime factors of 127718233. 29, 31, 142067 What are the prime factors of 773459781? 3, 257819927 What are the prime factors of 1158104207? 13, 19, 337, 1...
{ "pile_set_name": "DM Mathematics" }
et f = -6/335 - d. Let j = f - 615/3404. Which is smaller: j or 0? j Let t = 3 + -5. Suppose -4*d - 5*b + 148 = 145, -11 = -4*d + 3*b. Let v = t + d. Is -5/12 less than v? True Let b = -4218 - -4359. Do b and -1/3 have the same value? False Let l = 644 - 782. Let m = l - -137. Let y be (-6)/52*(-2)/1. Is y <= m? False ...
{ "pile_set_name": "DM Mathematics" }
positive. v**(-24) Simplify (((r*r**(16/7)/r)/r)/r)/r**(2/111) assuming r is positive. r**(208/777) Simplify (j/j**(2/11))/(((j*j/(j**3/j*j))/j)/j)*(j**5/j*j)/(j*j**3/j) assuming j is positive. j**(64/11) Simplify l**(-6/11)*l**(-11)*l**9*l**(-10)*l assuming l is positive. l**(-127/11) Simplify k*k**(2/13)*k*k*k**(-12...
{ "pile_set_name": "DM Mathematics" }
Let b = -45.334 + 0.534. Let m = b - -44.80000532. Round m to 6 decimal places. 0.000005 Let j be -6 - (1 + (-23021 - -7)). Suppose j + 15493 = n. What is n rounded to the nearest one thousand? 39000 Let g = -0.177 + -75.823. Let i = g + 34. Let n = -42.76 - i. Round n to one decimal place. -0.8 Let d = -0.4127 + 0.41...
{ "pile_set_name": "DM Mathematics" }
-4)/v*-88. 2, 11 Suppose -2580 = -3*i - 1080. List the prime factors of i. 2, 5 Let x(i) = -2 + i**2 - 11*i - i**2 + 9*i**2 + i**3 - i**2. Let c be x(-9). Suppose -j = j - c. List the prime factors of j. 2 Let u = 4 - 1. Suppose 4*p - 3*r = 689, r + u*r - 4 = 0. List the prime factors of p. 173 Let s = -3 + 186. List t...
{ "pile_set_name": "DM Mathematics" }
- 15 = 3*d + 5*o, -5*d + 210 = 2*o. Let m be d/30 - 262/201. Is m bigger than 0? True Let t = -22 - -22. Suppose t = 5*g + 4*g. Which is smaller: 3/17 or g? g Let f(a) = 5*a**3 - 2*a**2 + 2*a - 1. Let x be f(1). Suppose -2*q = -x*q. Let l be (-4)/(-2) + q/(-2). Do l and 2 have different values? False Let j be -8*(-78)/...
{ "pile_set_name": "DM Mathematics" }
king 1 h and 1 t. 2/21 Calculate prob of picking 1 f and 1 b when two letters picked without replacement from bnbbbbnnnf. 1/9 Two letters picked without replacement from {e: 2, g: 3, f: 2, v: 1, i: 3, l: 1}. Give prob of picking 1 e and 1 i. 1/11 What is prob of picking 4 z when four letters picked without replacement ...
{ "pile_set_name": "DM Mathematics" }