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. -15*sqrt(11) Simplify (sqrt(275) + sqrt(275)*-4*5)*-6 + -4 + 4. 570*sqrt(11) Simplify (6*sqrt(153))**2*-2 - ((sqrt(17) - (5 + sqrt(17) + sqrt(68)/sqrt(4))**2) + (2*sqrt(119) + sqrt(119))/sqrt(7)). -10923 + 16*sqrt(17) Simplify -5 + 0 + sqrt(2299) + -4 - (0 + sqrt(684))*4*-2. -9 + 59*sqrt(19) Simplify (-4*3*2*(0 + sqr...
{ "pile_set_name": "DM Mathematics" }
*v + 5*v)*(5*v + 300 - 300). -40*v**3 - 40*v**2 Expand (22*w**3 - 5*w**3 + 6*w**3)*(-3 + 3 + 1)*((w + w - 3*w)*(8 - 7 + 6) - 5*w + 3 - 3). -276*w**4 Expand (14*r**3 + 7*r**3 + 44*r - 18*r**3)*(1 - 1 - 2)*(-3*r + 3*r + 2*r**2). -12*r**5 - 176*r**3 Expand (5 - 3 - 4)*((-4*m**3 + 3*m**3 + 3*m**3)*(3 - 4 + 13) + (-356 - 40...
{ "pile_set_name": "DM Mathematics" }
0.68 + 0.02. Let y = 176256 - 176247. Which is the closest to g? (a) y (b) -1/2 (c) 0 c Let u = -1.66 - -1.69. Let l = -0.43 + u. Let i be 3/(-1)*8/(-108). What is the closest to i in l, -0.2, -0.1? -0.1 Let u be ((-5)/(-7))/(19910/1448). Which is the closest to 0.1? (a) -4 (b) -3 (c) u (d) 0.2 c Let v = -0.1 - ...
{ "pile_set_name": "DM Mathematics" }
taaa. 35/572 Two letters picked without replacement from cycyccmcimmbc. Give prob of sequence bi. 1/156 What is prob of sequence ess when three letters picked without replacement from llselleeeleeees? 8/1365 Two letters picked without replacement from jmmjommb. Give prob of sequence jb. 1/28 Calculate prob of sequence ...
{ "pile_set_name": "DM Mathematics" }
704, 675, 628, 563, 480, 379, 260? 123 What comes next: 647, 628, 609? 590 What comes next: -532, -996, -1460, -1924, -2388? -2852 What comes next: 3781, 3695, 3609, 3523, 3437, 3351? 3265 What comes next: -1332, -9598, -32034, -75726, -147760, -255222, -405198, -604774? -861036 What is next in 20604, 41065, 61526, 819...
{ "pile_set_name": "DM Mathematics" }
ose -5*c - 3*c**k - 4*c - 8*c + 8*c = 0. Calculate c. -3, 0 Let z(t) = -28*t + 286. Let i be z(10). Let s(d) be the third derivative of -1/300*d**i + 0*d**5 + 7*d**2 + 1/20*d**4 + 0*d + 0 - 2/15*d**3. Factor s(a). -2*(a - 1)**2*(a + 2)/5 Find v, given that -27/7*v - 24/7 - 3/7*v**2 = 0. -8, -1 What is n in -3*n - 13/4 ...
{ "pile_set_name": "DM Mathematics" }
Find the common denominator of 37/4 and 69/11098. 22196 Calculate the common denominator of -87/7280 and -43/140. 7280 What is the common denominator of 111/20 and -129/140? 140 Calculate the common denominator of 137/6 and 7/318. 318 What is the common denominator of -55/122 and -69/2? 122 Calculate the lowest common...
{ "pile_set_name": "DM Mathematics" }
an or equal to -20? True Is 116 at least as big as 117? False Is -39 at most as big as -189/5? True Which is smaller: 629 or 5043/8? 629 Is -127 > 0? False Which is smaller: 1054/23 or 47? 1054/23 Is 1811 greater than 1806? True Which is smaller: 5229 or 5227? 5227 Which is smaller: 128 or 130? 128 Do -10785/4 and -269...
{ "pile_set_name": "DM Mathematics" }
st value? (a) -5 (b) -7 (c) -2/3 (d) 2/7 b Which is the smallest value? (a) -1 (b) 5 (c) -881 c Which is the third biggest value? (a) 0.03 (b) 1/3 (c) -1/5 (d) -11 c What is the smallest value in 48, -0.02, -3? -3 What is the smallest value in 0, -6, -5, -2/21? -6 What is the second smallest value in -2, 0.5...
{ "pile_set_name": "DM Mathematics" }
*o**2 + 4*o**2 wrt o? -2952*o Let f(o) be the first derivative of -o**8/240 - o**6/30 - 4*o**3/3 + 1. Let a(g) be the third derivative of f(g). What is the third derivative of a(n) wrt n? -168*n Let a(u) = -214*u**5 + 7*u**3 - 741*u + 7. Let x(j) = -107*j**5 + 3*j**3 - 371*j + 3. Let y(o) = -3*a(o) + 7*x(o). What is th...
{ "pile_set_name": "DM Mathematics" }
*i. Let o(g) = j*v(g) - 5*l(g). Let y(h) = 3*h. What is o(y(q))? 3*q Let j(w) = -4*w**2. Let s(q) = -3*q - 9. Let x be s(-4). Let d(z) be the second derivative of -1/6*z**x + z + 0*z**2 + 0. Give j(d(t)). -4*t**2 Let r(c) = 2*c + 3. Let i(v) = -5*v - 8. Let b(s) = 3*i(s) + 8*r(s). Let m(y) be the third derivative of y*...
{ "pile_set_name": "DM Mathematics" }
(b) 4 (c) 299 (d) 2 d Which is the closest to 2/5? (a) 1/2640 (b) -9 (c) 1/7 c Which is the nearest to -1318? (a) 3 (b) 2 (c) 12 (d) -0.5 d Which is the nearest to 4? (a) 0.002 (b) 3 (c) 1/43 (d) 0.3 b What is the nearest to 0 in 1, -4, -53, -0.4, -17? -0.4 Which is the closest to 3433? (a) 0 (b) 2/21 ...
{ "pile_set_name": "DM Mathematics" }
b - 3*b + 30 = 0. Suppose -2*z - b = -0*z. Let u(a) = 17*a + 11. Let o(d) = 37*d + 24. Let v(q) = -6*o(q) + 13*u(q). Calculate v(z). 4 Let n(c) = c**2 - 9*c + 8. Let l be n(8). Let h(o) be the third derivative of o**5/60 - o**4/24 + 2*o**3/3 - 2*o**2. Determine h(l). 4 Let s(t) be the third derivative of t**5/60 - t**4...
{ "pile_set_name": "DM Mathematics" }
e the remainder when 1198 is divided by 8. 6 What is the remainder when 462 is divided by 93? 90 Calculate the remainder when 10506 is divided by 31. 28 What is the remainder when 104 is divided by 7? 6 What is the remainder when 1068 is divided by 22? 12 What is the remainder when 138 is divided by 59? 20 Calculate th...
{ "pile_set_name": "DM Mathematics" }
0808.7183s to days. 0.12510090625 What is 17/2 of a centimeter in millimeters? 85 What is 10/3 of a decade in months? 400 Convert 504354.4 days to hours. 12104505.6 How many meters are there in 6596.51um? 0.00659651 How many nanograms are there in 0.2986709 tonnes? 298670900000000 Convert 64878.92 millennia to months. ...
{ "pile_set_name": "DM Mathematics" }
60000. -4*(t - 6044)**2*(t - 50)**2 What is s in 4*s**5 + 880936*s**4 - 23787820*s**3 + 81056048*s**2 = 0? -220261, 0, 4, 23 Find w such that -12*w**5 + 216507*w**4 - 974861073*w**3 - 15408846111*w**2 + 4644201585*w + 11739289104 = 0. -16, -3/4, 1, 9029 What is y in 2*y**5 - 84*y**4 + 670*y**3 + 7044*y**2 - 59472*y + 5...
{ "pile_set_name": "DM Mathematics" }
the nearest 1000000? 10000000 Let s(x) = -21*x**3 - 3*x + 4. Suppose -4*k + o - 13 = 0, -5*k + o = 2*o + 14. Let i be s(k). What is i rounded to the nearest one hundred? 600 Let g(a) = -92500*a**2 - 2*a + 5. Let f be g(2). Let i be 1 + f + (13 - 15). Round i to the nearest 100000. -400000 Let m = -450 - -449.99998064....
{ "pile_set_name": "DM Mathematics" }
ivative of 309626*o**2 - 258766 wrt o. 619252*o What is the derivative of 267107*f**4 - 152685? 1068428*f**3 What is the third derivative of 5*q*v**4 - 6*q*v**3 + 27990*q*v + 84*v**4 - v**3 - 13*v**2 wrt v? 120*q*v - 36*q + 2016*v - 6 Differentiate 5*r**4 - 5891*r**3 + r**2 + 174978 with respect to r. 20*r**3 - 17673*r...
{ "pile_set_name": "DM Mathematics" }
67. Solve 5*n + 4*k = 40, 4*k - 8 = -3*n + o for n. 4 Suppose 3*f - 7 = -4. Let v = 5 - 3. Solve 0 = 2*x + 5*c + 13, -v*x + 4 + f = -c for x. 1 Let p(o) = 6*o + 36. Let c be p(-6). Solve 5*m - 4 = 3*m - 2*q, c = -2*m + q - 11 for m. -3 Suppose 0 = 5*o - 26 + 6. Solve -3*f + 4*j = 4, f = -f + 3*j - o for f. 4 Let l(v) =...
{ "pile_set_name": "DM Mathematics" }
tive of 442*a**2 - 43*a - 2*a - 2 + 44*a + 1 - 2916*a**5 wrt a? -174960*a**2 Let x(r) be the second derivative of 717*r**5/10 + 625*r**2/2 - r - 111. Find the first derivative of x(c) wrt c. 4302*c**2 Let x(f) be the third derivative of -23*f**6/60 + f**5/6 + 865*f**3/6 + 1443*f**2. Find the first derivative of x(a) wr...
{ "pile_set_name": "DM Mathematics" }
/720 + m**6/24 + 4*m**3/3 + 22*m. Let u(l) be the second derivative of z(l). Find the third derivative of u(i) wrt i. -840*i**3 Let p(l) = 16*l**4 + 6*l**3 - 22*l**2 - 2. Let x(v) = 33*v**4 + 14*v**3 - 45*v**2 - 4. Let k(m) = 7*p(m) - 3*x(m). What is the third derivative of k(z) wrt z? 312*z Let b(y) = y**3 - y**2 - y ...
{ "pile_set_name": "DM Mathematics" }
= -4*p - 6. Let r be v(-2). Suppose -3*y + 13 = 5*k, -3 = -3*y - r*k + 4. Let u be 25/290*(12/(-15) - -2). Is u < y? True Let x = -32 - -78. Let q = x - 42.1. Let p = -3.6 + q. Which is bigger: p or 0.7? 0.7 Let b(f) = f**3 + 56*f**2 - 7*f + 17. Let p be b(7). Which is smaller: p or 9166/3? p Let h = 45/11 - 5. Suppose...
{ "pile_set_name": "DM Mathematics" }
0, 43*c + 3*j - 1928 = -208 for c. 40 Solve g - 70 = -5*o - 6*g + 4*g, 503*o - g = 2500 for o. 5 Solve -246*o + 5*q - 55 = -251*o, 0 = 2*o - 5*q + 6 for o. 7 Solve -2*d - 2*a - 2 = 0, -139*d = -130*d - 2*a + 4*a + 8 + 8 for d. -2 Solve -29 = -18*h + 21*h - 5*c, -5*c = -4*h + 19 - 40 - 21 for h. -13 Solve 4*b - 5*n - 42...
{ "pile_set_name": "DM Mathematics" }
without replacement from {b: 5, i: 11}. What is prob of sequence bbib? 11/728 Calculate prob of sequence eee when three letters picked without replacement from eeesa. 1/10 Four letters picked without replacement from wgomoogwm. Give prob of sequence gmgm. 1/756 Two letters picked without replacement from ppccccccc. Gi...
{ "pile_set_name": "DM Mathematics" }
4676, 25086, 39434? 58344 What comes next: 94878, 94883, 94892, 94905, 94922? 94943 What comes next: 1276, 909, 540, 169? -204 What is the next term in 3447551, 3447553, 3447555, 3447557, 3447559, 3447561? 3447563 What comes next: -362257, -362227, -362177, -362107, -362017, -361907? -361777 What is the next term in -1...
{ "pile_set_name": "DM Mathematics" }
second derivative of k(n). Find i, given that o(i) = 0. 0 Let z = -11 + 10. Let b be (z/(-4))/((-15)/(-160)). Factor -8*o**2 + 32/3*o - 16/3 - 1/3*o**4 + b*o**3. -(o - 2)**4/3 Let d be (3/(27/6))/((-6)/(-18)). Suppose 0 + 0*m + 1/4*m**d = 0. Calculate m. 0 Let c = 34/59 + -52/295. Factor 0*w + 3/5*w**3 + 0 + c*w**2. w*...
{ "pile_set_name": "DM Mathematics" }
*s - 25. Solve -f = 4*u + 6 for u. -5 Let h(f) be the second derivative of 5*f**4/12 - 3*f. Let x be h(-1). Let k = -3 + x. Solve -d = -k*d + 4 for d. 4 Suppose p - 3*p = -30. Suppose 3*n + 2*n = p. Solve 0 = -n*f + 4*f - 4 for f. 4 Suppose -2*m = -10 - 2. Let q(t) = t**2 - 8*t + 13. Let z be q(7). Solve 3*a = m*a - z ...
{ "pile_set_name": "DM Mathematics" }
e there between 9:57 AM and 6:13 PM? 496 How many minutes are there between 8:50 AM and 10:47 AM? 117 What is 505 minutes after 4:23 AM? 12:48 PM What is 404 minutes after 10:14 PM? 4:58 AM How many minutes are there between 12:25 PM and 10:50 PM? 625 How many minutes are there between 1:43 AM and 3:40 AM? 117 What is ...
{ "pile_set_name": "DM Mathematics" }
0 - 212*p**2 - 7*p. Let k be u(i). What is k rounded to the nearest 100? -1800 Let z = 49.7 - 341.7. Let j = 292.57 + z. What is j rounded to the nearest integer? 1 Let y = -17747.6881 + 17749. What is y rounded to one dp? 1.3 Let g = 2935.999993765 - 2936. Round g to 7 decimal places. -0.0000062 Let z = 20.481427 - 20...
{ "pile_set_name": "DM Mathematics" }
1 + -4 + 2 + 2. 1 (-7 - (-5 - 6)) + -2 2 What is the value of -4 + (-60 + 65 - (-6 - -1))? 6 What is the value of (0 - -4) + -2 + 0? 2 What is the value of -4 - (3 + -5) - (-5 - -1)? 2 Calculate (2 - 3 - -4) + (3 - 1). 5 What is the value of -8 - ((4 - 12) + 16 - 10)? -6 What is (1 - 0) + (7 - (-17 - -32))? -7 Calculat...
{ "pile_set_name": "DM Mathematics" }
(b) 214 (c) -0.5 (d) -0.2 (e) 5 (f) 3 (g) 0.11 a Which is the third smallest value? (a) -2/65 (b) -4 (c) -0.4 (d) 1/17 (e) 69/4 (f) -0.73 c What is the smallest value in -1702, 3/4, 0.1, 14, 1/6? -1702 What is the fourth smallest value in 1.1, -1, 25785, -2? 25785 Which is the third smallest value? (a) 2/1...
{ "pile_set_name": "DM Mathematics" }
at is m(-5)? -53 Let x(s) = -2*s**2 + 29*s + 273. What is x(-7)? -28 Let q(b) = b**3 - 21*b**2 + 73*b - 7. What is q(17)? 78 Let h(s) = s**2 + 59*s + 480. Determine h(-49). -10 Let v(f) = 3*f**3 + 126*f**2 + 447*f - 335. What is v(-38)? 7 Let a(q) = 57*q + 1530. Calculate a(-26). 48 Let d(q) = 5*q**2 - 186*q + 49. Dete...
{ "pile_set_name": "DM Mathematics" }
to -2/7 in t, w, -0.4? -0.4 Let r be (-2)/(-9)*3/2. What is the closest to 1 in 0.3, 5, r? r Let f(j) = -j + 4. Let h be f(4). Let d = -0.2 + 0.3. Let i = 138 + -415/3. Which is the nearest to h? (a) i (b) 4 (c) d c Let y = -16 + 22. Let h = y + -5.6. What is the closest to 0 in 1/9, -4, h? 1/9 Let l be -3 + ((-36)/...
{ "pile_set_name": "DM Mathematics" }
y and give x. -2 Express -368*i + 368*i + 2*i**2 - 23 + (0*i - 4*i + 3*i)*(2*i - 4*i - i) as n*i + b*i**2 + x and give b. 5 Rearrange (0 - 2 + 3*d**2 + 4)*(-d + d - 6*d)*(-4 + 6 + 5) to the form q + f*d**3 + x*d + y*d**2 and give x. -84 Rearrange (0*z + z - 3*z)*(2 + 4 - 4) + (19789 - 19789 + 92*z)*(-4 - 2 + 5) to x + ...
{ "pile_set_name": "DM Mathematics" }
ob of sequence cl? 2/55 Two letters picked without replacement from fxffffxbxfbffx. Give prob of sequence ff. 4/13 Two letters picked without replacement from {i: 4, t: 4, n: 3, s: 3, j: 5}. What is prob of sequence ji? 10/171 Three letters picked without replacement from hghxohihgomxxihoxh. What is prob of sequence ig...
{ "pile_set_name": "DM Mathematics" }
t is the second biggest value in 10/11, -3, 17/2? 10/11 What is the third biggest value in 1, 0.3, 52, -2/5, -1, -8? 0.3 Which is the second smallest value? (a) 9 (b) 4/85 (c) 6 c What is the second smallest value in 5, 7209, -0.5, -11? -0.5 Which is the smallest value? (a) 1 (b) 3 (c) 0.07 (d) -409 d Which is t...
{ "pile_set_name": "DM Mathematics" }
- 27.992. Let l = 0.108 - g. Which is greater: 89 or l? 89 Let n be (-1)/((-31)/8 + 4). Let r be ((-1)/(n/(-36)))/6. Which is bigger: r or 0.1? 0.1 Let j = -16001/23 + 696. Which is smaller: j or -1? -1 Let h = 92 - 90. Suppose 3*u + h*r = -1, -5*r - 1 = u - 5. Which is smaller: u or -2/105? u Let f(t) = -t**3 + 12*t*...
{ "pile_set_name": "DM Mathematics" }
5*i**2 - i**2 + (-3*i - i + 2*i)*(-14*i + 2*i - 4*i) - 5*i**2 + 2*i**2 + i**2 + 3*i**2 + i**2 - 6*i**2 to f*i + a*i**2 + x and give a. 26 Express 13*x**3 - 2*x**3 + 2*x**2 + 0*x**3 in the form i*x**3 + w*x + q*x**2 + o and give i. 11 Rearrange (-20 - 39*l**2 + 20)*(5*l + l**2 - 5*l) + 0*l + 2*l**4 + 0*l to the form s +...
{ "pile_set_name": "DM Mathematics" }
thout replacement from kkggggk. 1/7 Four letters picked without replacement from {d: 1, l: 2, u: 4}. What is prob of picking 3 l and 1 d? 0 Calculate prob of picking 1 j, 1 u, and 1 a when three letters picked without replacement from eaojuou. 2/35 Calculate prob of picking 1 g and 1 u when two letters picked without r...
{ "pile_set_name": "DM Mathematics" }
(sqrt(99) + 3*sqrt(99))) + 2)**2. -651*sqrt(11) + 3873 Simplify ((sqrt(88)*-2*-5 + (-1*sqrt(88) + sqrt(88))*-6)/(sqrt(288)*4 + sqrt(64)/(sqrt(8)*2)))**2. 4400/2401 Simplify -1 + ((sqrt(605) - -2*sqrt(605)*3) + 2*sqrt(605) + -2 - ((-2*(sqrt(30)/sqrt(2) + sqrt(15)))/sqrt(3) + 6*(sqrt(5) + -1) + 4)). -1 + 97*sqrt(5) Simp...
{ "pile_set_name": "DM Mathematics" }
. 2 Let g(l) = -l**2 - l + 3. Let i be g(0). What are the prime factors of 4 - 8*i*-2? 2, 13 Let o(y) = -19*y - 14. What are the prime factors of o(-6)? 2, 5 Let z(a) be the first derivative of 2*a**2 + 3*a - 2. What are the prime factors of z(3)? 3, 5 Suppose -5*s + 43 = -172. Suppose -5*u + 7 + s = 0. What are the pr...
{ "pile_set_name": "DM Mathematics" }
+ l. Calculate the greatest common divisor of 90 and k. 30 Suppose 0 = -f + 3*r + 32 + 6, 4*f - 120 = -4*r. Calculate the greatest common factor of f and 4. 4 Let v(g) = -9*g - 35. Let a be v(-7). What is the greatest common divisor of 98 and a? 14 Let r = 27 - 39. Let h = 10 - r. Let i = -13 + 24. Calculate the highes...
{ "pile_set_name": "DM Mathematics" }
- 39*a = 17. Solve -4*q = -3*r + 9, -4*r = 4*q + r + o for q. -3 Suppose 183*r = 201*r. Solve -3*c - 8 = -7*j + 3*j, 5*j + 4*c + 21 = r for j. -1 Suppose -u + 48 = u. Suppose 0 = -4*q - 5*d + u, 3*d - 7 = -3*q + 8. Suppose 3*l - q - 5 = 0. Solve -2*g - 12 = -l*s, -2*s - s - 3*g = 0 for s. 3 Let q be -4 + (-6 - (-56 - 0...
{ "pile_set_name": "DM Mathematics" }
? 5 Suppose -4*g + 54 = d - g, -2*d + 5*g = -75. Let r(o) = -o**2 - o + 9. Let k be r(0). Let l be (1*-2*k)/(-2). Calculate the greatest common divisor of d and l. 9 Suppose -7*h = -2*h - 10, 0 = t + 5*h - 6. Let x = 6 + t. Suppose -4*j + 12 = -4*i, -x*j - i = -5*i. What is the highest common divisor of 18 and j? 6 Let...
{ "pile_set_name": "DM Mathematics" }
et s = 4.4 + -4. Let l = -0.9 + s. Let c = -0.3 - l. Is c not equal to 0.2? False Let r be (4/6)/(132/(-36)). Is -1 at least as big as r? False Let c be 0 - 0 - (16 - -5). Let l be ((-1)/(-8))/((-7)/c). Which is bigger: 0 or l? l Let w(q) = -q + 4. Let m be w(3). Let b be 234*(-24)/(-1778) - 3. Let v = -2/127 + b. Is m...
{ "pile_set_name": "DM Mathematics" }
*b**3*p + 16*b**2*p**2 - 4*b**2 + 2*b - 3 wrt b. -18*p**2 + 3444*p What is the third derivative of 7*d*o**6 + 610*d*o**3 - 1247*d*o**2 - d*o + o**6 + 2*o wrt o? 840*d*o**3 + 3660*d + 120*o**3 Differentiate -4*u**4 + 89*u**3 - 1188 wrt u. -16*u**3 + 267*u**2 Differentiate 457*i**2*s**2 - 2*i*s**2 - 15*s**2 - 15*s with r...
{ "pile_set_name": "DM Mathematics" }
+ 25*s**3 + 277*s wrt s. 150*s - 10 Let k(h) be the second derivative of 3*h**8/560 + h**5/15 + 2*h**3 - 10*h. Let q(o) be the second derivative of k(o). Find the second derivative of q(n) wrt n. 108*n**2 Let f = 18 + -13. Suppose 25 = f*b - 5. Differentiate -4*v + b - 5*v - 3 + 5*v with respect to v. -4 Let c(i) be t...
{ "pile_set_name": "DM Mathematics" }
= -m. Let a be -2 - (m - (4 + 0)). Let w = -11 - a. Let h(k) = k**3 + 4*k**2 - 2*k + 5. Give h(w). 13 Let s(t) = t**3 - 10*t**2 + 7. Let z be s(10). Let m(x) = 14*x - z - x**3 + 17*x**2 - 11*x**2 - 6*x. Give m(7). 0 Suppose -9 = -13*n + 4. Let a(h) = -5*h**3 + 1. Calculate a(n). -4 Let a(g) = 17 - 27669*g**3 + 4 + 2767...
{ "pile_set_name": "DM Mathematics" }
o the nearest integer? 10 What is the square root of 1734 to the nearest integer? 42 What is the square root of 36483 to the nearest integer? 191 What is the cube root of 11528 to the nearest integer? 23 What is the square root of 13416 to the nearest integer? 116 What is the cube root of 1501 to the nearest integer? 1...
{ "pile_set_name": "DM Mathematics" }
emainder when m is divided by 13. 12 Let f(g) = -503*g**2 + 75*g - 35. Let q(s) = 126*s**2 - 19*s + 8. Let v(h) = 2*f(h) + 9*q(h). Calculate the remainder when v(1) is divided by 0 + 1 + 1*27. 25 Let g(i) be the first derivative of -2*i**3/3 - 15*i**2/2 + 14*i - 91. Calculate the remainder when 207 is divided by g(-7)....
{ "pile_set_name": "DM Mathematics" }
14592*sqrt(19) Simplify (2 + (sqrt(275) - (1*sqrt(275)*-3 + sqrt(275)))*-2 + (3*sqrt(275)*1 - -1*sqrt(275)*-2) + 4)**2. -300*sqrt(11) + 6911 Simplify (-2*sqrt(76)*5 + 6*sqrt(76)*-2)/(-6*(-2*sqrt(4) - sqrt(4)) + -1*sqrt(324)) + 4. -22*sqrt(19)/9 + 4 Simplify 4*(((2*sqrt(275)*-5)**2 - (2 + (sqrt(275) + -2)**2)) + (sqrt(2...
{ "pile_set_name": "DM Mathematics" }
-14508*l**3 Collect the terms in 1435851 + 1435635 - 2871486 + 3*f. 3*f Collect the terms in 51821*v**2 + 53551*v**2 - 105341*v**2. 31*v**2 Collect the terms in 119*x**3 + 1436*x**2 - 360*x**2 - 363*x**2 - 355*x**2 - 358*x**2. 119*x**3 Collect the terms in -3*j**3 + 119*j - j**2 - 119*j + 136 + 20*j**3. 17*j**3 - j**2 ...
{ "pile_set_name": "DM Mathematics" }
3*o Find the first derivative of -32*a*f**3*z**2 + a*z**2 + a*z - a - 313*f**3 wrt z. -64*a*f**3*z + 2*a*z + a What is the third derivative of -59*f**3 - 153*f**2 wrt f? -354 Find the second derivative of 4*b*h**2*o*v**2 + b*h**2*o - 41*b*h*o*v**2 + 5*b*h*o + 6*b + 31*h**2*o*v**2 + o*v**2 wrt h. 8*b*o*v**2 + 2*b*o + 62...
{ "pile_set_name": "DM Mathematics" }
increasing order. -3, v, 0.2, 3 Let o = 9 + -7.5. Let s = o - 1.1. Sort 0, 0.1, s in descending order. s, 0.1, 0 Suppose 13 = -4*u + f, 3*u + 21 = -f - 2*f. Sort -5, u, -5/6 in descending order. -5/6, u, -5 Let i = 3 - 1. Suppose 3*v - 10 = -i*v. Sort -0.2, v, -3/2 in increasing order. -3/2, -0.2, v Let x(k) = k**3 - k...
{ "pile_set_name": "DM Mathematics" }
u(7). Suppose 2*c + 5*k - p = 0, c - 113 = 5*k - k. What is the remainder when c is divided by 4? 1 Calculate the remainder when (-6324)/24*(-37 - 13) is divided by 216. 215 Suppose -700*j - 78 = -702*j. Suppose -17*x = -j - 250. Calculate the remainder when 174 is divided by x. 4 Calculate the remainder when 71 is di...
{ "pile_set_name": "DM Mathematics" }
he second derivative of 615*d**2*z - d*z + 2*d - 3 wrt d. 1230*z What is the second derivative of -3*y**3*z**2 + y**2*z**2 - 2*y**2 + 27*y*z**2 + z wrt y? -18*y*z**2 + 2*z**2 - 4 Differentiate 107*v - 162 with respect to v. 107 Find the third derivative of 23*n*o**4*u + 2*n*o - 27*n*u - o**5*u - o**4 + 5*o**2 wrt o. 55...
{ "pile_set_name": "DM Mathematics" }
09 1275909 divided by 3 425303 -5343 divided by -62 5343/62 What is -974 divided by 89? -974/89 What is -3 divided by -24912? 1/8304 What is -261 divided by 5018? -261/5018 Divide -1213 by -2688. 1213/2688 What is -44736 divided by 233? -192 What is -10 divided by 839? -10/839 Calculate 129985 divided by 2. 129985/2 22...
{ "pile_set_name": "DM Mathematics" }
-17? (a) 3 (b) 1/2 (c) -36 b What is the nearest to 7 in 0.2, -4, -1/5, -0.06? 0.2 Which is the nearest to 19? (a) 0.2 (b) -3 (c) 3/7 c What is the nearest to -0.1143 in -2/5, -4/9, -2/13? -2/13 What is the nearest to -1 in 122/3, -3/2, 3? -3/2 Which is the nearest to -1/2? (a) 1/3 (b) -3 (c) -4 a What is the...
{ "pile_set_name": "DM Mathematics" }
104648 What is the y'th term of -7073, -13379, -19685, -25991? -6306*y - 767 What is the c'th term of -62955974, -125911948, -188867922? -62955974*c What is the m'th term of 2335, 7610, 16407, 28732, 44591, 63990? m**3 + 1755*m**2 + 3*m + 576 What is the w'th term of 112266, 224587, 336910, 449235, 561562, 673891? w**2...
{ "pile_set_name": "DM Mathematics" }
there in sixty-seven fifths of a microgram? 13400 How many kilograms are there in 103690.6 nanograms? 0.0000001036906 Convert 21.78571cm to micrometers. 217857.1 What is 17/2 of a litre in millilitres? 8500 How many milligrams are there in twenty-nine halves of a gram? 14500 How many seconds are there in 1/15 of a day?...
{ "pile_set_name": "DM Mathematics" }
+ s*a**2 + 54*a - 6*a**2 - 16*a wrt a. 30 Let b(p) be the first derivative of 30*p**4 + p**3/3 - 109*p**2 + 2059. Find the third derivative of b(v) wrt v. 720 Let c be 1*-2 - (-6 + (-196)/4). Find the second derivative of -13*d**4 - c*d - 207*d**2 + 204*d**2 + 0*d wrt d. -156*d**2 - 6 Let s = 12 - 8. What is the third ...
{ "pile_set_name": "DM Mathematics" }
ided by 8452? 980 Calculate the remainder when 593900 is divided by 13587. 9659 Calculate the remainder when 7186913 is divided by 156. 149 What is the remainder when 295104 is divided by 36729? 1272 What is the remainder when 2090826 is divided by 1674? 0 What is the remainder when 1064498 is divided by 47? 42 What is...
{ "pile_set_name": "DM Mathematics" }
- 26. Let m be (-2)/6 + (9 - 40/d). Solve -m*h - 3 = 1 for h. -2 Suppose 3*i - 9 = 0, 11 = 4*c - 8*i + 5*i. Solve 24*t - c - 91 = 0 for t. 4 Suppose -242 = 2*v - l + 1312, -l - 1550 = 2*v. Let i = v + 786. Solve 12*p - 17*p - i = 0 for p. -2 Let m = -13400 - -13400. Solve -26*g + 195 + 13 = m for g. 8 Let k(p) = p**3 -...
{ "pile_set_name": "DM Mathematics" }
or h. -1 Let s(p) = p**2 - 7*p + 6. Let d be s(6). Let v be ((-8)/6)/((-6)/18). Solve -2*f + 2 = -2*h, h + d*h = v for f. 5 Suppose 23*b + 248 - 616 = 0. Solve -2*v + 0 = 5*u - b, -5*v = 5*u - 10 for v. -2 Suppose 14*v - 4*v - 540 = 0. Suppose v = 5*y - 121. Solve -y = 5*x - 5*r, x - 11 = 4*r - 27 for x. -4 Suppose 0 =...
{ "pile_set_name": "DM Mathematics" }
u + 128. What is the nearest to 29 in u, -0.4, -3, -4? u Let h be (-2 + 5)*(-4)/(-54). Let w = -497 + 518. Let l = -23 + w. Which is the nearest to 0? (a) 0.1 (b) l (c) h a Let m be (-9 - 63/(-12))*4/(-3). Which is the closest to 1? (a) m (b) 1/11 (c) -16 b Let f = 1002.6 - 1003. Suppose 0 = 2*z - 4*z + 14. Let s...
{ "pile_set_name": "DM Mathematics" }
33))/sqrt(7))**2. 30*sqrt(19) + 4276 Simplify (sqrt(20)/(-3*sqrt(10)) - ((-2 + sqrt(2) + sqrt(2))*6)**2) + -5. -437 + 863*sqrt(2)/3 Simplify (sqrt(300)*3 + -3*sqrt(300))**2. 0 Simplify -2 + -3*(sqrt(44)/sqrt(4))**2*4. -134 Simplify (2 + sqrt(684) + (sqrt(684) - (sqrt(684) + 0)))**2 - sqrt(684). 18*sqrt(19) + 688 Simpli...
{ "pile_set_name": "DM Mathematics" }
Suppose -5*w + 5*g = -50, w = -3*w - p*g + 4. Calculate the highest common factor of 6 and w. 6 Suppose 3*z = -z + 96. Calculate the greatest common divisor of 24 and z. 24 Let a(q) = -3*q**3 - q**2. Let b be a(-1). What is the greatest common divisor of 20 and b? 2 Let p be 3/(-9) - 403/(-3). Let q = 188 - p. Calculat...
{ "pile_set_name": "DM Mathematics" }
z**2 + 5*z - 5. Let g be v(5). Sort o, w, g in ascending order. g, w, o Let w = 2.07 - 3. Let n = w - 0.07. Put -5, 3, n in increasing order. -5, n, 3 Let p = -0.4 - -0.2. Suppose 2191*n = 2193*n - 8. Put p, n, -0.01 in descending order. n, -0.01, p Let l = -115 + 121. Sort 3, l, 2, -4 in descending order. l, 3, 2, -4 ...
{ "pile_set_name": "DM Mathematics" }
-2/63)*t*(t*t**(4/11)/t*t*t*t)/t*t)/(t/(t*(t*t**7)/t)*t)**(-22) assuming t is positive. t**(-88474/693) Simplify (r/r**(7/6))**(1/14)*(r*r**12*r)**(1/27) assuming r is positive. r**(383/756) Simplify f**(-29)/(f*f*f/(f**0/f)*f*f)*f*f*f**(-2/15)*f*(f*f**(-3/19))/f assuming f is positive. f**(-9203/285) Simplify (k/(k/k*...
{ "pile_set_name": "DM Mathematics" }
the second derivative of -l**4/6 - 2*l**3/3 + 4*l**2 + 3*l. Let g(t) = -t**2 - t + 1. Suppose 0 = -164*f + 161*f + 3. What is f*w(y) - 4*g(y)? 2*y**2 + 4 Let s(w) = 4*w - 6. Let v(h) = h + 1. Let o be v(5). Suppose 0 = -y + 4*u + 13, -3*y + o*y - 18 = 5*u. Let k(x) = 3 + 6*x - 13 + y. What is 5*k(t) - 7*s(t)? 2*t - 3 L...
{ "pile_set_name": "DM Mathematics" }
0010? -112002 In base 6, what is -1 - -15? 14 In base 15, what is 1e4 + -4? 1e0 In base 10, what is -2 - -512? 510 In base 8, what is -14623 - -4? -14617 In base 6, what is 2 - 205? -203 In base 3, what is 10021 - 12? 10002 In base 16, what is -d - c? -19 In base 7, what is 1360 + 14? 1404 In base 14, what is 20 + 24? ...
{ "pile_set_name": "DM Mathematics" }
1)*6*4. 8*sqrt(5) Simplify -3*(-1*sqrt(1088))**2*-6*6. 117504 Simplify (sqrt(15)/sqrt(5) + 1 - (sqrt(432) - sqrt(3))) + -4*(sqrt(21)/sqrt(7) + -1) + 5. -14*sqrt(3) + 10 Simplify (sqrt(99) - ((sqrt(99)*-2 + sqrt(99) - sqrt(99)) + sqrt(99)) - sqrt(99))/sqrt(9)*-3 - sqrt(77)/(sqrt(28)/sqrt(4)*1). -4*sqrt(11) Simplify ((-2...
{ "pile_set_name": "DM Mathematics" }
5*h + 5. Let p(k) = 1. Let l(y) = -5*p(y) + w(y). What is the second derivative of l(m) wrt m? 16 Let i = -93/2 - -48. Let l(n) be the second derivative of i*n**2 + 0*n**3 + 0*n**5 + n + 0*n**4 + 0 - 1/30*n**6. Differentiate l(b) with respect to b. -4*b**3 Find the second derivative of 9*v**2 + 8*v**2 - 15*v - v**2 + ...
{ "pile_set_name": "DM Mathematics" }
2. What is z(-7)? -20 Let w(r) = 12*r**3 + 30*r**2 - 41*r - 41. Let k(z) = 4*z**3 + 10*z**2 - 14*z - 14. Let l(c) = -8*k(c) + 3*w(c). Give l(-3). 4 Let n(k) be the third derivative of 0 + 0*k - 11*k**2 + 1/180*k**6 - 1/120*k**5 - 2/3*k**4 + 0*k**3. Let l(g) be the second derivative of n(g). Give l(-1). -5 Let r be (6 -...
{ "pile_set_name": "DM Mathematics" }
8, what is -653 + -5? -660 In base 10, what is 98 + 13? 111 In base 9, what is -312 - -1? -311 In base 9, what is 5 - 22? -16 In base 9, what is 3 + 5? 8 In base 11, what is -899 + 5? -894 In base 10, what is -5 - -469? 464 In base 5, what is 1 - 123? -122 In base 9, what is -32 + -38? -71 In base 10, what is -2548 + ...
{ "pile_set_name": "DM Mathematics" }
*3 - 363*y**2 + 146*y + 44. What is the remainder when k(-73) is divided by 12? 8 Let c(z) be the first derivative of z**3 + 2*z**2 - 19. Let t be 1/(((-12)/9)/4). Calculate the remainder when c(t) is divided by 9. 6 Suppose 2*y - 70 = 5*o, -16*y + 14*y = -4*o - 74. Calculate the remainder when 1707 is divided by y. 42...
{ "pile_set_name": "DM Mathematics" }
/216)? 8 Let w be (-1)/2*(-2 + 10). Suppose 2*i = -1 + 13. What is the units digit of (3/i + -2)*w? 6 Suppose 5*b + 5*o - 340 = 0, -4*b + b + 208 = 2*o. Suppose 5*f - 18 - b = 0. What is the units digit of f? 8 Suppose -7*c + 100 = 5*h - 2*c, 4*c = 3*h - 39. What is the units digit of h? 7 Let i(r) be the first derivat...
{ "pile_set_name": "DM Mathematics" }
plify (i/(i**(6/7)*i)*i**(-4))/(i/(i/(i*i**(-3)))*i*i*i**10) assuming i is positive. i**(-104/7) Simplify ((v**(1/2))**(-1/6)*(v/(((v**(-2/3)*v)/v)/v))**14)**(3/4) assuming v is positive. v**(447/16) Simplify o**(-2)/o*o*o/o**(2/23)*(o**(1/3))**(-2/7) assuming o is positive. o**(-571/483) Simplify ((j**(-6))**(-1/25))*...
{ "pile_set_name": "DM Mathematics" }
. 2 Solve 0 = 5*x + 35 for x. -7 Solve 0 = d - 2*d + 2 for d. 2 Solve -26 + 20 = -6*a for a. 1 Solve 0 = 16*g + 4*g - 120 for g. 6 Solve -91*h = -86*h - 25 for h. 5 Solve -2*w = -0*w + 12 for w. -6 Solve -8 = 94*j - 93*j for j. -8 Solve 24*o + 165 = -9*o for o. -5 Solve -14*y + 10 = -16*y for y. -5 Solve 10*r = 7*r - 1...
{ "pile_set_name": "DM Mathematics" }
Suppose -2*j + z*j - 32 = 0. Suppose 2*a + 6 = -4*x, x - 2*x - 2*a = 6. Solve -3*l + j*l = x for l. 0 Let q(p) = -p + 8. Let s be q(4). Suppose -30 = s*g - 9*g. Solve -2*m + g = -5*m for m. -2 Suppose 6 = -2*n + 4*n. Suppose -3 = 2*f - 3*r, 0 = -5*f - 2*r - 1 + n. Let t be (-1)/((-1)/4) - 2. Solve f*b + t*b = -10 for ...
{ "pile_set_name": "DM Mathematics" }
w many minutes are there between 12:34 AM and 1:51 AM? 77 What is 652 minutes before 6:23 PM? 7:31 AM What is 700 minutes before 12:21 AM? 12:41 PM How many minutes are there between 4:45 AM and 7:46 AM? 181 How many minutes are there between 10:41 PM and 5:27 AM? 406 What is 252 minutes before 9:16 AM? 5:04 AM What is...
{ "pile_set_name": "DM Mathematics" }
a be (2/(-5))/((-14)/30)*49. Let g = -39 + a. Solve -4*h = -4, 5*n + g*h + h + 1 = 0 for n. -1 Let d(r) = -2*r + 1. Let m be d(0). Suppose -4*o + 4*l = -40, 0 = -4*o - 4*l - m + 49. Solve -3*u + 4 + o = 0, -45 = 5*n - 4*u for n. -5 Let j(k) = -k**2 + 2*k + 3. Let p be j(0). Suppose 6*q = 5*q + p. Solve 3*m - 2 = -4*r, ...
{ "pile_set_name": "DM Mathematics" }
, i: 1}. 1/20 What is prob of sequence mh when two letters picked without replacement from hlaqm? 1/20 Calculate prob of sequence hf when two letters picked without replacement from rrrrfccqhrqqkffcrqq. 1/114 Four letters picked without replacement from {f: 3, u: 4, j: 4, q: 1, c: 1, l: 4}. Give prob of sequence ulqj. ...
{ "pile_set_name": "DM Mathematics" }
15 a factor of 3038938725? True Is 85489140 a multiple of 110? True Is 2132616 a multiple of 51? True Does 1198 divide 2000861264? True Is 7 a factor of 144018736? False Is 10 a factor of 504466970? True Is 14 a factor of 649083? False Does 29 divide 659155507? False Is 1550 a factor of 86105600? True Is 33 a factor o...
{ "pile_set_name": "DM Mathematics" }
t s(j) = 4*j + 5. Determine -10*b(n) - 4*s(n). 4*n + 10 Let i(q) = -2*q - 6. Let o(z) = -z - 1. Let u(v) = -v - 6. Let c be u(-5). Let p be ((-8)/3 + 0)*(-96)/64. Determine c*i(n) + p*o(n). -2*n + 2 Let p(h) be the first derivative of 0*h + 6 - 11/3*h**3 - 11/2*h**2. Let w(v) = 5*v**2 + 5*v. Let c(k) = -k - 3. Let a be...
{ "pile_set_name": "DM Mathematics" }
2*k + k = -3*z + 21. Suppose 0 = 5*s + 2*i - 81, i - 75 = -4*s - 4*i. What is the remainder when s is divided by z? 7 Let a be (2/(-7))/(1/(-14)). Suppose -4*s + 341 = 5*i, 0 = -a*s - s + 2*i + 418. Calculate the remainder when s is divided by 22. 18 Let i = -42 + 65. Let s(l) = l**3 - 10*l**2 - 9*l - 16. Let r be 12/(...
{ "pile_set_name": "DM Mathematics" }
. 8, 0, -1, -2, -5, -6, -502 Put -1, -40, 1, 2, -8965 in descending order. 2, 1, -1, -40, -8965 Sort -5771, -2/5, -1/4, -187. -5771, -187, -2/5, -1/4 Sort 1, -24163, 3, 12. -24163, 1, 3, 12 Put -2, -1, -70008891 in descending order. -1, -2, -70008891 Put -62/9, -82744, -2/7, -1, -3 in descending order. -2/7, -1, -3, -6...
{ "pile_set_name": "DM Mathematics" }
}? 1/180 What is prob of sequence pn when two letters picked without replacement from nljjjxnnllpcnpllxnnx? 3/95 Three letters picked without replacement from {q: 3, r: 3, l: 2}. Give prob of sequence lqq. 1/28 Calculate prob of sequence rp when two letters picked without replacement from flpffwflffwrl. 1/156 Two lette...
{ "pile_set_name": "DM Mathematics" }
(f) = -13*f**2 - 3*f - 22. Let r be l(-6). Let c = r + 790. Is c a multiple of 15? False Suppose 114*j = 138*j - 912. Is j*(-14)/4*280/(-98) a multiple of 53? False Suppose -5*l + 177 = -8*l. Let i = 421 - l. Does 24 divide i? True Let t be 3/(3 + (-104)/36). Suppose 0 = 5*g - 4*s + 3*s - t, 12 = 4*s. Suppose 0 = 2*x -...
{ "pile_set_name": "DM Mathematics" }
43141? 43141 Are -3139260 and -21974830/7 nonequal? True Which is smaller: -1135028 or -0.06? -1135028 Is -214577509 not equal to -214577507? True Which is bigger: -0.13973134 or 66? 66 Do -107041 and -107353 have the same value? False Is 1 not equal to 1021/1239460? True Which is greater: -111 or -2/3951? -2/3951 Is 1...
{ "pile_set_name": "DM Mathematics" }
Suppose -2*w = -3*o - 4, 5*o = a*w - 7 + 3. Solve -5*x - 7 - 3 = o for x. -2 Let i(b) = -2*b - 10. Let s be i(-9). Suppose s = 5*k - 7. Let h be (-2)/(3 + 1)*-2. Solve k*l - 4*l = h for l. -1 Suppose -5*i = -4*t - 8, t - 5*t = 2*i - 20. Solve f = t*f - 8 for f. 4 Let t(o) = o**2 + 8*o - 6. Let x be t(-9). Let q be 6/15...
{ "pile_set_name": "DM Mathematics" }
e Does 15 divide 5151007? False Does 2485 divide 97560229? False Does 673 divide 9109728? True Does 5 divide 1041102682? False Does 306 divide 2601084762? True Is 2 a factor of 38785174? True Is 126 a factor of 2505404827? False Is 27 a factor of 119241742? False Does 30 divide 72087820? False Does 205 divide 159488169...
{ "pile_set_name": "DM Mathematics" }
e -3*i - 692815*s = -692816*s - 10, -5*i - 3*s = -12 for i. 3 Solve 3*f - 1517 = -3*v + 1505 - 3046, 3*v - 2*f - 6 = 0 for v. -2 Solve 2*j + 11 = -q + 5*j, -13 = q - 4*j for q. -5 Solve 0 = -2179*c + 2176*c - 3*k + 174, -4*k - 4963 = 1043*c for c. -5 Solve 0 = 4*t + 3*w - 14, t - 1702*w = -1707*w + 12 for t. 2 Solve n ...
{ "pile_set_name": "DM Mathematics" }
e factors of q(3)? 1367 Suppose -n + 6*n + 3*d = 37, -n - 4*d = -21. List the prime factors of ((-2)/4)/(n/(-110)). 11 Suppose 5*n - 3831 + 791 = 0. Let p = 862 - n. What are the prime factors of p? 2, 127 Let s(l) = -l**3 - 2*l**2 + 2*l - 4. Let k(h) = -13 - 9*h**2 - h**3 + 44*h - 1 - 35*h. Let q be k(-10). What are t...
{ "pile_set_name": "DM Mathematics" }
t value? (a) 0.4 (b) 53 (c) -4 (d) -3 d Which is the second smallest value? (a) 0.5 (b) 171843 (c) 2/7 a Which is the biggest value? (a) -4 (b) -15 (c) -41 (d) 4/5 d Which is the sixth biggest value? (a) 29.1 (b) 3/4 (c) 0.5 (d) -6 (e) 1.8 (f) -1/6 d What is the biggest value in 91, 1/111, 4? 91 What i...
{ "pile_set_name": "DM Mathematics" }
(j))? -392*j**2 + 3735 Let o(y) = -277*y. Let z(q) = -1035030*q**2. Give o(z(v)). 286703310*v**2 Let q(o) = -726*o**2. Let l(p) = -3*p - 80. Let m(n) = -n - 32. Let c(s) = -4*l(s) + 10*m(s). Determine q(c(v)). -2904*v**2 Suppose -9 = -6*j + 9. Let r(k) = k**3 - k**2 - 3*k + 6. Let a be r(2). Let z(o) = j*o - o - a*o. L...
{ "pile_set_name": "DM Mathematics" }
st the prime factors of a(-2). 29 Let m(w) = -51*w + 30. Let s be m(-7). Suppose 3*n - 395 = -4*h, -4*h + 5*n = -0*h - s. What are the prime factors of h? 2, 7 Suppose 176 = -3*n + 2*i, -3*n - 3*i - 164 = -2*i. Let b = n - -16. Let t = -21 - b. What are the prime factors of t? 19 Suppose -208*k + 3914 = -207*k. What ar...
{ "pile_set_name": "DM Mathematics" }
ing 1 x and 1 h. 4/45 What is prob of picking 3 q when three letters picked without replacement from {q: 10}? 1 Four letters picked without replacement from {j: 2, i: 1, u: 2, r: 3, a: 3, z: 3}. What is prob of picking 1 z, 2 r, and 1 u? 18/1001 Calculate prob of picking 1 s and 1 y when two letters picked without repl...
{ "pile_set_name": "DM Mathematics" }
zaqzeq. What is prob of sequence zqa? 1/30 What is prob of sequence vv when two letters picked without replacement from vvvjvvjvjvjvjvvvjvv? 26/57 Four letters picked without replacement from iiggi. What is prob of sequence giig? 1/10 What is prob of sequence qzqx when four letters picked without replacement from xqqw...
{ "pile_set_name": "DM Mathematics" }
l rounded to six decimal places? 0.000006 Let w = 17599 - 17579.0025. Let z = w - 20. What is z rounded to three decimal places? -0.003 Let r = -0.761 - -0.8527. Round r to two dps. 0.09 Suppose -k = 3*k. Suppose -5*t - 8600005 = -2*q, -4*t + 17199996 = 4*q - k*t. What is q rounded to the nearest one million? 4000000 ...
{ "pile_set_name": "DM Mathematics" }