text
stringlengths
270
8.19k
meta
dict
(-29025)/12900? 51 What is ((-6)/22)/(-1) + ((-91618)/302940 - 732/(-31110))? -1/162 Calculate (-56)/12*((-5)/(-2) - 1) - 9. -16 Calculate 126/36*41/((-7175)/(-1100)). 22 Calculate ((-198)/165)/(9/(-40)*(-28)/(-42)). 8 Evaluate (2025/(-1080))/(390/2080). -10 86/(-2) + (-306)/(-3723)*657 11 (6660/510)/74*(-1)/3 -1/17 Wh...
{ "pile_set_name": "DM Mathematics" }
n factor of 216 and 666. 18 What is the highest common factor of 40 and 95? 5 Calculate the greatest common factor of 60 and 12. 12 What is the greatest common factor of 17344 and 271? 271 What is the greatest common divisor of 384 and 11264? 128 What is the greatest common divisor of 50 and 16? 2 What is the greatest ...
{ "pile_set_name": "DM Mathematics" }
ded by 156266 1/78133 Calculate -9 divided by 7619702. -9/7619702 -5449399 divided by 57 -5449399/57 -159528744 divided by -13743 11608 What is -11848994 divided by 137779? -86 Divide 2256308 by 1128154. 2 3 divided by 8329324 3/8329324 What is -132094050 divided by -110? 1200855 What is -19328243 divided by 1? -193282...
{ "pile_set_name": "DM Mathematics" }
+ 2*-2. Let k = 51 + q. Suppose -7*x = -k - 133. Is 6 a factor of x? False Let c(n) = n**3 - 7*n**2 - n + 10. Let j be c(7). Let y(k) = 6*k + 4*k**2 - j + 0*k - 2*k**2. Does 19 divide y(-6)? False Let a = 15082 - 10121. Does 110 divide a? False Suppose -3*q - 8 - 4 = 0. Does 2 divide (-3 - -12 - q)/1? False Suppose 0 ...
{ "pile_set_name": "DM Mathematics" }
)/sqrt(12). 2 + 40*sqrt(11) Simplify (sqrt(968)*-1)/((sqrt(12) + sqrt(588))/sqrt(3)). -11*sqrt(2)/8 Simplify (((0 + sqrt(320) + 5)*-1 + -3)*5)**2. 3200*sqrt(5) + 9600 Simplify (((sqrt(72) - (sqrt(72) - (sqrt(72) + 1)))*6)**2 + sqrt(72))*-5 + ((-2*sqrt(72) - sqrt(72)) + 2)**2*3 + -4. -11188 - 2406*sqrt(2) Simplify 2*((-...
{ "pile_set_name": "DM Mathematics" }
u + 3. Let s(f) = -3*f - 40. Let o be s(-14). Let g be t(o). Let r(z) = z**3 + 5*z**2 - 2*z - 4. What is r(g)? 6 Suppose 488*l - 954*l + 60 = -476*l. Let y(q) = -8*q - 13. Give y(l). 35 Let p(x) be the first derivative of x**4/4 + 5*x**3/3 + 2*x**2 + 2*x + 1. Let y = -36 - -30. Let d be -3 + 0/7*(-1)/y. What is p(d)? 8...
{ "pile_set_name": "DM Mathematics" }
7 (b) 1/5 (c) 3/22 c What is the fourth smallest value in -1/7, 3, 0.5, 0? 3 Which is the smallest value? (a) -8 (b) 4/19 (c) -0.4 (d) 5 a What is the smallest value in 0.4, -6/11, 2, 1/5? -6/11 Which is the biggest value? (a) 0.99 (b) 1 (c) -0.2 b What is the smallest value in 3/4, 0, -8, -5? -8 Which is the ...
{ "pile_set_name": "DM Mathematics" }
t derivative of h(q) wrt q. 12*q**3 Suppose -6 + 0 = -2*i. What is the second derivative of 5*t + 0*t + i*t**3 - 2*t - t wrt t? 18*t Let f(m) = 10*m**4 - 6*m + 2. Let v(i) = 11*i**4 - 7*i + 3. Let o(z) = 7*f(z) - 6*v(z). Differentiate o(s) with respect to s. 16*s**3 Suppose -2*t + 4 = 0, 5*t = -b - 3*b + 30. What is th...
{ "pile_set_name": "DM Mathematics" }
1. Calculate the remainder when y is divided by f. 17 Calculate the remainder when (-2 + 2500/6)/(102/18 - 5) is divided by 25. 22 Suppose 4*y - 173 = -37. Let d = -333 - -418. Let i = d - y. What is the remainder when i is divided by 9? 6 Let k = 1024 - 976. What is the remainder when 79 + (-2 - -1) + -1 is divided by...
{ "pile_set_name": "DM Mathematics" }
e -a + 108 = 2*r, -166 = -m*r - 5*a + 38. Let k = r - 39. Does 6 divide k? False Suppose -16*g + 13*g = -45. Is g a multiple of 15? True Let r(d) = 49*d + 1. Let j be r(1). Suppose 7*m = 2*m + j. Is 9 a factor of m? False Is (-4)/(-12) + 50/3 a multiple of 14? False Let o(h) = h + 2. Let b(f) = -f**3 + 6*f**2 - 2*f + 4...
{ "pile_set_name": "DM Mathematics" }
- 10 - 37. What is the units digit of l? 7 Suppose 5*u - 823 = -53. Suppose b = -2*l + 3*b + 52, 0 = 5*l + 3*b - u. What is the units digit of l? 9 Let a(f) = 68*f**2 - 3*f - 3. What is the hundreds digit of a(-2)? 2 What is the units digit of 1 + 23 + (-2 - -3)? 5 Let u(g) = -4*g**2 + 8*g - 2. Let t(x) = x. Let k(o) =...
{ "pile_set_name": "DM Mathematics" }
ing order. g, 2, 3 Let g = 15 + -14.86. Let w = 0.24 - g. Put -6, w, -0.1 in increasing order. -6, -0.1, w Let l = -6.3 - -6.77. Let s = 0.03 + l. Let q = -3 + 4. Put s, -1, q in descending order. q, s, -1 Let w = 12.1 + -11.9. Let h = -0.05 + 0.35. Sort h, w, -1/4 in descending order. h, w, -1/4 Suppose r + 2 = 3*q - ...
{ "pile_set_name": "DM Mathematics" }
smallest common multiple of 6071 and 11208? 145704 What is the common denominator of 143/265758 and -149/30? 1328790 Calculate the smallest common multiple of 2405 and 28405. 1050985 What is the common denominator of 57/271270 and 87/1844636? 9223180 Find the common denominator of -55/904 and -63/1370. 619240 Calculate...
{ "pile_set_name": "DM Mathematics" }
of picking 1 f and 1 q when two letters picked without replacement from qpqbqffbqbffqtbbbqf? 10/57 Three letters picked without replacement from {y: 1, x: 5, u: 1, e: 1, q: 1}. What is prob of picking 1 e, 1 q, and 1 x? 5/84 What is prob of picking 2 s and 1 e when three letters picked without replacement from {e: 1, s...
{ "pile_set_name": "DM Mathematics" }
16, 5*r + v*x - 16 = 0 for r. 5 Suppose 4*t - 3*m + 398 = 8*t, -2*t + 5*m + 186 = 0. Let k = t + -95. Solve -6*g + 35 = -g - 5*l, 25 = k*g - 5*l for g. 5 Let s = 90 + -81. Suppose 0 = -2*b - s*b + 110. Solve 4*z = -2*g + 2 - b, 4*g = 3*z + 6 for g. 0 Let i = 1358 - 1342. Solve 0 = 5*t + 15, f - 4*t - i = t for f. 1 Let...
{ "pile_set_name": "DM Mathematics" }
is the closest to -0.1? (a) -0.52 (b) -0.11 (c) -0.33 b What is the closest to 1/9 in 0, -2, -0.3, 0.78, -39/7? 0 What is the closest to 0.1 in -4, -0.5, -5723, -0.8, -2? -0.5 What is the nearest to 0.1 in -52, 107, -4? -4 Which is the closest to -2/9? (a) -12 (b) -275 (c) -0.2 c Which is the closest to -13/27? ...
{ "pile_set_name": "DM Mathematics" }
What is the next term in 226192, 226224, 226256, 226288? 226320 What is next in -202071671, -202071673, -202071675, -202071677, -202071679? -202071681 What is the next term in -116489, -214845, -313211, -411593, -509997? -608429 What is the next term in 2631, 3170, 4089, 5400, 7115? 9246 What is next in -140316, -14033...
{ "pile_set_name": "DM Mathematics" }
546/93 -251250 divided by -12 41875/2 Divide 7182 by -1751. -7182/1751 Divide 705173688 by -556. -1268298 Divide -170493 by -51. 3343 What is -6 divided by 376854? -1/62809 What is -4210 divided by 119925? -842/23985 Divide 3 by 1926088. 3/1926088 -7996868 divided by 726988 -11 Calculate -158564868 divided by -15856486...
{ "pile_set_name": "DM Mathematics" }
. 0.001 Let x = 0.05940997 + 280.93747003. Let f = x + -281. Round f to four decimal places. -0.0031 Let g = 1.23 + -1.27. Let w = -0.28 - g. Let r = w - 1.04. What is r rounded to one dp? -1.3 Let x = 588 + -201. Let s = x - 386.625. What is s rounded to two decimal places? 0.38 Let n(u) = 83056*u - 96. Let k(v) = -v*...
{ "pile_set_name": "DM Mathematics" }
0 Simplify (-3 + (sqrt(700) - (sqrt(700) + -4*(sqrt(700) + 2)) - (0 + (sqrt(700) - (sqrt(700) + -1)))))**2. 320*sqrt(7) + 11216 Simplify ((-2*sqrt(160) + sqrt(160))/((sqrt(2) + sqrt(4)/sqrt(2))*1))**2*-1. -20 Simplify (1*sqrt(768))**2 + ((sqrt(768) + -3)**2 - sqrt(48)) + (-2 + -1*sqrt(48))*4. -116*sqrt(3) + 1537 Simpl...
{ "pile_set_name": "DM Mathematics" }
Let z be (w/68)/(1/(-4)). What is the highest common divisor of 9 and z? 9 Let t = 14002 + -13862. Calculate the highest common factor of t and 110. 10 Suppose 0 = 9*s - 175 - 149. Suppose -4*b - 13 = -5*a, 4*b - s = -2*a - 14. What is the greatest common factor of 160 and a? 5 Suppose -d = 4*o - 521, 62 = 2*d - o - 95...
{ "pile_set_name": "DM Mathematics" }
*1*6)/(sqrt(88)/sqrt(32)))**2). 9408 Simplify (-3*(sqrt(1575) + sqrt(63))*6)/(-5*sqrt(27)/((sqrt(48) - sqrt(3)) + sqrt(3))) + 2. 2 + 432*sqrt(7)/5 Simplify ((2*sqrt(400)*1 - sqrt(400))/(6*sqrt(50)/sqrt(5)))/(5*(sqrt(8) + sqrt(72)*-5 + sqrt(72)*-6)). -sqrt(5)/960 Simplify ((((-1*sqrt(132) - sqrt(132) - sqrt(132)) + sqrt...
{ "pile_set_name": "DM Mathematics" }
*2 + 9*a - 10. Let q(k) = -3*p(k) - 2*r(k). Calculate q(-8). -14 Let q(j) be the first derivative of 3*j**2/2 - j - 69. Let z(g) = 6 - 1 + 4*g - 16*g. Let d(w) = -9*q(w) - 2*z(w). Determine d(1). -4 Suppose 0*w = -3*s + 2*w - 45, 4*s + 60 = 4*w. Let c be s/35 + 76/14. Let m(u) be the first derivative of -u**3/3 + 7*u**...
{ "pile_set_name": "DM Mathematics" }
Is -1381/25477 at most as big as -1? False Is -1 at least 4544/85579? False Which is bigger: 4026508 or -1/5? 4026508 Which is bigger: -4795462 or -4795465? -4795462 Is -6004 greater than or equal to 2.0193? False Which is smaller: 2132.027 or -3/13? -3/13 Is 0 less than or equal to 2/16634407? True Is -62857 greater ...
{ "pile_set_name": "DM Mathematics" }
+ -56 + 63). What is the closest to 0.05 in -1, l, -2/7? l Let q = -9.9 + 10.3. Let y be 29/10 - (-4 + 7). Which is the nearest to -2? (a) q (b) y (c) -3/7 c Let d be (-8)/3*75/(-10) - 1. Suppose 16*r - 18 = d*r. Which is the nearest to 0.1? (a) r (b) -0.4 (c) -4/3 b Suppose 52*a = 110*a - 290. What is the neares...
{ "pile_set_name": "DM Mathematics" }
+ 0*r - 60) to g*r + v + k*r**2 and give g. 37 Express z**4 - 926*z**3 - 933*z**3 - 3*z - 13*z**2 + 1863*z**3 + 2*z in the form p + u*z**3 + s*z**4 + w*z**2 + a*z and give w. -13 Rearrange 139999*r - 139999*r - 1 + 3*r**2 - r**4 to b*r**4 + m*r**3 + u*r + d*r**2 + l and give d. 3 Express 34*i**2 + 2 + 82*i**3 + 77*i**...
{ "pile_set_name": "DM Mathematics" }
the h'th term of -246194, -246911, -247628, -248345, -249062? -717*h - 245477 What is the a'th term of -35642, -34611, -31792, -26291, -17214, -3667, 15244, 40413? 149*a**3 - 12*a - 35779 What is the k'th term of 54898, 109791, 164686, 219583, 274482, 329383, 384286? k**2 + 54890*k + 7 What is the y'th term of 5772594...
{ "pile_set_name": "DM Mathematics" }
323202 In base 6, what is 411 + 102331405? 102332220 In base 15, what is -19e8 - -2430? 937 In base 5, what is 10 + 240321413? 240321423 In base 3, what is -1221211 + -11001212? -20000200 In base 14, what is -79811 + 96? -79759 In base 4, what is 10301 - 132232013? -132221112 In base 13, what is -2691 - 15a? -281b In ...
{ "pile_set_name": "DM Mathematics" }
Let p(c) = 9760*c**2 + 18*c - 554. Let d be p(-27). Round d to the nearest one million. 7000000 Suppose 3*p = -5*w - 20, 0 = -0*p - p - w - 4. Suppose p = -3*h + h + 665358. Suppose -h - 287321 = -k. What is k rounded to the nearest 100000? 600000 Let o = -3386314944 + 3386314946.865998637. Let p = o - 2.866. What is ...
{ "pile_set_name": "DM Mathematics" }
+ 6*c = 8. Let k(b) = -16*b**2 - 2*b + 11*b**c + 6*b**2. Calculate k(2). 0 Let l(k) = 18*k**2 - 3*k - 4. Let o(a) = -19*a**2 + 4*a + 5. Let c(w) = -6*l(w) - 5*o(w). Determine c(-1). -12 Let u(x) be the second derivative of x**5/20 - 5*x**4/12 - x**3/6 + 7*x**2/2 + 16*x - 2. Give u(5). 2 Let p(i) = -16*i - 11. Let f(v)...
{ "pile_set_name": "DM Mathematics" }
t is f(z(h))? 6840*h**2 Let y(r) = 4*r**2. Let u(o) = -210*o + 449*o - 240*o - 3 + 1. Let s = -1 - 1. Let l(z) = z + 1. Let a(m) = s*l(m) - u(m). What is a(y(h))? -4*h**2 Let d(w) be the third derivative of -7*w**4/6 + 25*w**2. Let h(n) be the third derivative of -n**4/12 + 24*n**2 + 2*n. Calculate h(d(c)). 56*c Let v(...
{ "pile_set_name": "DM Mathematics" }
*c - 2*c = -4*x - 20 for x. -5 Suppose 3 = -3*f - 3. Let c = -1 - f. Let o be (-34)/(-8) - c/4. Solve -k + 2*s + 4 = -0*k, -7 = -o*k - s for k. 2 Let w(m) = m**3 + 12*m**2 + m + 14. Let q be w(-12). Solve -7 = -4*c + u, -2*c - 2 = -4*c + q*u for c. 2 Let v be (-8)/12*(-18)/4. Suppose 5 = 2*k - 5. Suppose 3*t - 6*t + 9 ...
{ "pile_set_name": "DM Mathematics" }
3 + 34439292*o**2 - 17186648*o + 2146956 = 0. What is o? -2933, 1/4, 183 What is j in 2*j**3 - 6618*j**2 + 4725504*j - 968597504 = 0? 448, 2413 Factor a**3/2 - 7175*a**2/2 - 184058*a - 1481330. (a - 7226)*(a + 10)*(a + 41)/2 Factor -3*m**2 + 158898534*m - 2104062008945763. -3*(m - 26483089)**2 Solve 16*o**5 - 2340*o**4...
{ "pile_set_name": "DM Mathematics" }
t is next in -349, -700, -1051? -1402 What comes next: -488, -480, -458, -416, -348, -248? -110 What is next in 39, 101, 189, 315, 491? 729 What is next in 20, 44, 84, 140, 212, 300, 404? 524 What comes next: -151, -593, -1331, -2365, -3695, -5321, -7243? -9461 What is the next term in 260, 259, 260, 263, 268, 275, 284...
{ "pile_set_name": "DM Mathematics" }
of 1/2, to the nearest integer? 150 What is 24634 to the power of 1/2, to the nearest integer? 157 What is the square root of 3250 to the nearest integer? 57 What is the fifth root of 403 to the nearest integer? 3 What is 5771 to the power of 1/3, to the nearest integer? 18 What is the eighth root of 611 to the nearest...
{ "pile_set_name": "DM Mathematics" }
. Suppose a + a = j. Suppose 0 = f + 4*g - a, -5*f - 5*g - 1 - 9 = 0. Which is bigger: -1 or f? -1 Suppose -2*j + 8 = 0, 4*j - 9 = 3*q + 19. Let t be (-2 - 10/q)*-2. Which is smaller: 6/19 or t? t Let w be 1 - 0 - (-2)/(-24)*10. Let b(g) = 3*g**3 + 2*g - 1. Let f be b(1). Suppose -8 = 4*t - f. Are t and w unequal? True...
{ "pile_set_name": "DM Mathematics" }
) = 70*h**2 - 7280*h - 84. Calculate m(104). -84 Let v(h) = -14*h + 13. Give v(2). -15 Let a(r) = 3*r**2 + 211*r - 349. Determine a(-72). 11 Let n(v) = -110*v + 6768. Calculate n(61). 58 Let d(x) = 8*x**2 - 3*x + 43. Calculate d(0). 43 Let q(y) = y**3 + 12*y**2 - 43*y + 34. Give q(-14). 244 Let d(b) = b**3 + 2*b**2 - 5...
{ "pile_set_name": "DM Mathematics" }
1240 divided by 19 7960 Divide -156488 by 1262. -124 Calculate 0 divided by -373847. 0 Calculate 5924 divided by -2. -2962 Divide 2 by -17846. -1/8923 Divide -21251 by -18. 21251/18 -472332 divided by -33738 14 What is 34930 divided by -158? -17465/79 Divide -82536 by -19. 4344 153657 divided by -51219 -3 What is -1951...
{ "pile_set_name": "DM Mathematics" }
factor of 91337 and 149. 149 What is the greatest common factor of 3168 and 27? 9 What is the greatest common factor of 275 and 130405? 55 What is the highest common divisor of 6127564 and 668? 668 What is the greatest common factor of 8927835 and 105? 105 Calculate the greatest common factor of 123848 and 137. 137 Ca...
{ "pile_set_name": "DM Mathematics" }
4*n - 4*m - 124, m - 40 = -n + 1. What is the highest common divisor of n and 18? 18 Let d = -6 + 71. Let b(a) = a**3 + 6*a**2 + 3*a + 6. Let v be b(-4). What is the highest common divisor of d and v? 13 Let t(s) = 2*s**3 - 3*s**2 - 6*s + 7. Let v be t(4). What is the greatest common divisor of 7 and v? 7 Let u be (40...
{ "pile_set_name": "DM Mathematics" }
0. Let x be (-6)/3 - (-33)/p. Which is the closest to 4/3? (a) -0.5 (b) -3 (c) x c Let l = -27 + 40. Suppose 5*j - l = -3. What is the nearest to j in 0.4, -1, 2/9? 0.4 Let u = -1222 + 1246. Let z = 28.7 - 5.7. Let p = z - u. What is the nearest to p in -5, -0.2, -0.1? -0.2 Suppose 2*z + 6*j - 2*j + 110 = 0, -z - j ...
{ "pile_set_name": "DM Mathematics" }
s the greatest common factor of 36 and 25514448? 12 What is the highest common factor of 33737 and 192395977? 3067 Calculate the greatest common divisor of 2817790 and 4730. 430 What is the highest common factor of 20409187 and 212? 53 What is the highest common divisor of 351711808 and 9408? 3136 Calculate the highest...
{ "pile_set_name": "DM Mathematics" }
o + 21*o - 33 + 9*o. Is u(14) composite? False Is -5 + 4 + (672786 - 1) + -5 a prime number? True Let r be 45 - 50 - (0 + 13593). Let g = r + 22689. Is g prime? True Suppose 0*a - 5*a = 4*a - 6239007. Is a prime? True Let d be -8*(-5)/(-30)*3. Let v be 0/((-16)/d + -2). Suppose v = -4*u + 3370 + 42. Is u a prime number...
{ "pile_set_name": "DM Mathematics" }
12:27 AM? 386 How many minutes are there between 7:40 PM and 1:08 AM? 328 What is 253 minutes before 11:15 AM? 7:02 AM How many minutes are there between 12:01 AM and 11:49 AM? 708 What is 503 minutes before 6:54 AM? 10:31 PM How many minutes are there between 3:41 AM and 3:45 AM? 4 What is 39 minutes after 2:45 AM? 3:...
{ "pile_set_name": "DM Mathematics" }
Suppose -2*r - 34 = -2*m - r, 3*r + 86 = 5*m. Let b(d) = d**3 - 15*d**2 - 3*d + 13. Is b(m) composite? True Let y(l) = -19*l**3 + 3*l**2 + 2*l + 1. Let n = -16 - -26. Let t(h) = h**2 - 9*h - 12. Let p be t(n). Is y(p) a prime number? False Let g = 276 + 2453. Is g a prime number? True Suppose 5*p = 25, 5*v - 3*p - 25 =...
{ "pile_set_name": "DM Mathematics" }
en h is divided by 27? 20 Suppose 0*l - 182 = -l. Suppose l = 6*g + 14. What is the remainder when g is divided by ((3 - 1)/2)/(12/180)? 13 Let y be (2/(-3))/(-2)*(-16 - -13). Let h be 120 + 0 + y + -1 + -3. Let o = h + -96. Calculate the remainder when 53 is divided by o. 15 Suppose 2*q + 18*h - 17 = 17*h, -5*h = -15....
{ "pile_set_name": "DM Mathematics" }
or c? t Suppose 3*c - 15825 = -5*m, 42*m = 5*c + 43*m - 26353. Is 5270 at most as big as c? True Let w = 54908 + -54886. Suppose -21 = -c + 2. Is c bigger than w? True Let v = -20078 + 20281.9. Are 3/2 and v equal? False Let y = 318 + -318. Let j be 2/(-4)*(0 + y). Which is greater: 26/19 or j? 26/19 Suppose 34*x - 221...
{ "pile_set_name": "DM Mathematics" }
(4*k + k - 3*k)*(-2*k - 3 + 3) + k**2 - 2*k**2 + 0*k**2 + 0*k**2 - 6*k**2 - 6*k**2). -19*k**2 Expand (5*m**2 - 2*m**2 - 5*m**2)*(-3*m + 2*m - 2*m + (6*m - m - 3*m)*(2 + 2 - 3) - 62 + 62 + 73*m). -144*m**3 Expand (-15*k + 41*k - 23*k)*(2*k - k + 0*k + (3 - 4 + 2)*(-4 + k + 4)). 6*k**2 Expand (-m**3 + 7*m**2 - 7*m**2)*(...
{ "pile_set_name": "DM Mathematics" }
allest value? (a) -2 (b) r (c) w c Let g = 5 + -8. Which is the second biggest value? (a) g (b) -1/2 (c) 1/9 b Let t = 30/23 + -182/69. What is the second smallest value in 3, t, -0.5? -0.5 Let d = 329 - -357. Let n = 24061/35 - d. Let i = -6/7 + n. Which is the smallest value? (a) i (b) 2 (c) -3/5 c Let r = 1...
{ "pile_set_name": "DM Mathematics" }
5)*(j**(1/2)/j)/j**(-4)*(j/(j/((j/j**0)/j)))**11 assuming j is positive. j**(4141/1190) Simplify ((l**(-4)*l)/l**(-1))/(l/(l*l**1*l))**(-3)*(l**(-2/13)*l*l*l**(-6))/((l**0*l)/l)**(-37/4) assuming l is positive. l**(-158/13) Simplify (n**(-8)*n*n/(n*n*n**(-5/8)*n*n*n)*(n/n**(2/5))**(1/27))**(-24) assuming n is positive....
{ "pile_set_name": "DM Mathematics" }
(b) 1 (c) -0.2 a Which is the biggest value? (a) 0 (b) -2/7 (c) -1.8 a What is the smallest value in -3, 2/7, 12? -3 Which is the smallest value? (a) -23 (b) 0.05 (c) 5 (d) -0.4 a Which is the smallest value? (a) 10 (b) -6 (c) 1/3 (d) 0 b Which is the smallest value? (a) 4 (b) 135 (c) 0 c Which is the t...
{ "pile_set_name": "DM Mathematics" }
(w) = 3*w**2 + 21*w + 32. Let t(r) = q*i(r) + 7*b(r). Determine t(-7). -6 Let n = -294 + 304. Let x(h) = 67 - n*h**2 - 68 + 9*h**2 - h. What is x(0)? -1 Let h(g) = g**3 - 6*g**2 - 8*g - 4. Let u(w) = -6*w**2 - 84*w - 18. Let y be u(-14). Let m be ((-1)/(-2))/(9/y) - -8. Calculate h(m). -11 Let p(x) be the third derivat...
{ "pile_set_name": "DM Mathematics" }
68. What is the hundreds digit of c? 5 What is the tens digit of ((-4)/(-6)*(-17070)/6)/((-15)/45)? 9 Suppose 0 = -5*b - 5*b + 45960. What is the units digit of b? 6 Suppose -7*m = -252 - 658. Let u = m + 56. Suppose 0 = 4*k + 2*k - u. What is the units digit of k? 1 Let n be (-37)/(-2)*(5 + -3 + -4). Let k = n + 45. W...
{ "pile_set_name": "DM Mathematics" }
divided by 93. 90 What is the remainder when 10966 is divided by 59? 51 What is the remainder when 384518 is divided by 40? 38 Calculate the remainder when 41033 is divided by 661. 51 What is the remainder when 17785 is divided by 79? 10 What is the remainder when 204473 is divided by 40? 33 Calculate the remainder whe...
{ "pile_set_name": "DM Mathematics" }
52/65*205/(-574). -2/7 Evaluate 355/(-15)*(-8)/36*9*(-36)/24. -71 What is (6/130)/(((-98670)/575)/(-143))? 1/26 Evaluate 4/2*-28*118/28084. -4/17 What is the value of 34/((-101)/(-13736)*68)? 68 Calculate ((-5)/(-7))/(8085/(-53361)). -33/7 Evaluate ((-2658)/5316)/(((-21)/234)/(-7)). -39 ((15/42)/((-3290)/(-2303)))/((-...
{ "pile_set_name": "DM Mathematics" }
*10 + -3. 10 Let b(a) = a**2 - 7*a - 5. Suppose o + 2*o - 30 = 0. Calculate the remainder when b(o) is divided by 13. 12 Suppose x - 20 = c + 3*c, c = -3*x + 21. Let o(y) = y**2 - 2*y + 3. Let l be o(2). Suppose -z = -2*z + l. What is the remainder when x is divided by z? 2 Let o(z) = 3*z + 1. Calculate the remainder w...
{ "pile_set_name": "DM Mathematics" }
*w**2 + 2*w - 3. Let x(r) = 5*r**3 + 9*r**2 + r - 3. Let h(p) = -2*b(p) + 3*x(p). Determine h(-7). 4 Let s(p) = 29*p + 36. Let j(u) = 16*u + 19. Let z(w) = 11*j(w) - 6*s(w). Let y(n) = -4. Let i(q) = -2*y(q) + z(q). Let o be 6/(-8)*2*-2. What is i(o)? 7 Let r(y) = y**2 + 22*y - 68. Let a be ((-5)/((-10)/24))/(51/(-102)...
{ "pile_set_name": "DM Mathematics" }
2*l Suppose -9*w + 24 = -6*w. Let k(l) be the first derivative of l**4/2 - 2*l**3/3 - l - 17. Let r(h) = 6*h**3 - 6*h**2 - 3. Calculate w*k(q) - 3*r(q). -2*q**3 + 2*q**2 + 1 Let i(a) = 49*a**3 - 6*a - 4. Let s(y) = y**3 + y. Calculate -i(v) - 6*s(v). -55*v**3 + 4 Let r(p) = -p**2 + p - 1. Let y(a) = 35*a**2 - 7*a + 5. ...
{ "pile_set_name": "DM Mathematics" }
cement from svwgsgwwggwgg? 1/13 What is prob of picking 1 l and 1 p when two letters picked without replacement from {r: 2, l: 1, t: 1, g: 1, p: 2, h: 1}? 1/14 Four letters picked without replacement from rrrrzrzzrrrzzzzzrzrz. What is prob of picking 3 r and 1 z? 80/323 Two letters picked without replacement from gpvvv...
{ "pile_set_name": "DM Mathematics" }
.4 What is the product of 18.066 and 66.3? 1197.7758 Product of -429 and -5913. 2536677 0.348625 * -37 -12.899125 0.099 * -308725 -30563.775 0.5 times -234.8693 -117.43465 Product of 1966.953 and -3. -5900.859 -286448*0.24 -68747.52 54283.25*-0.2 -10856.65 Calculate 0.3*21932286. 6579685.8 Product of 2.79013 and -37. -...
{ "pile_set_name": "DM Mathematics" }
**3 + 36*q. Let j(x) = x**3 - x. What is h(v) + 12*j(v)? -4*v**3 + 24*v Suppose -25 = -16*o + 11*o. Let r(a) = -2*a**2 + a + 2. Let q(k) = 2*k**2 - 2*k - 3. What is o*r(m) + 4*q(m)? -2*m**2 - 3*m - 2 Let b = -31 + 21. Let m(f) = -12*f**3 + 10*f**2 - 10*f - 10. Let t(y) = -y + 9. Let x be t(8). Let u(g) = -g**3 + g**2 -...
{ "pile_set_name": "DM Mathematics" }
are the prime factors of 19408200? 2, 3, 5, 7, 4621 What are the prime factors of 316047845? 5, 63209569 What are the prime factors of 83668287? 3, 31, 899659 What are the prime factors of 66048339? 3, 7, 463, 6793 List the prime factors of 29638270. 2, 5, 743, 3989 What are the prime factors of 6392381037? 3, 7, 83, 1...
{ "pile_set_name": "DM Mathematics" }
m. 3132 What is the third derivative of -2*w**2 - 18*w**3 - 2 + 0 + 21*w**2 + 21*w**2 + 13*w**2 wrt w? -108 Let f(i) be the third derivative of -211*i**7/210 + 47*i**3/2 + i**2 + 52*i. Differentiate f(d) wrt d. -844*d**3 Suppose 0 = 9*v - 5*v - 12. Differentiate v - 9 - 6*g**2 + g**2 + 0 wrt g. -10*g Let g(o) = 16*o + ...
{ "pile_set_name": "DM Mathematics" }
Is 14/439 greater than -1? True Is -9/143 bigger than 1? False Which is greater: 449 or 446? 449 Which is smaller: -1963 or -1958? -1963 Which is smaller: -7/8 or -2? -2 Which is smaller: 10 or 39? 10 Is -564 less than -546? True Which is smaller: 273 or 242? 242 Which is bigger: 0 or -8/183? 0 Is 31 at most as big as...
{ "pile_set_name": "DM Mathematics" }
3*m + 8 = -d*m. Let n = -2 + 2. Solve 0 = 4*c - n*c + m for c. -2 Suppose -28 + 0 = 4*g. Let l = 12 + g. Suppose 2*c - 18 = -l*h, -h + 3*c - 4*c = -3. Solve -h*t + 3 = -9 for t. 3 Let c be 336/(-35) - 4/10. Let y = -7 - c. Solve y*u + u - 8 = 0 for u. 2 Let m = 28 - 25. Solve 0 = t - m - 2 for t. 5 Suppose -s - 1 = 4*n...
{ "pile_set_name": "DM Mathematics" }
13) to base 5 -40113 Convert -26543 (base 8) to base 6. -125443 -44 (base 7) to base 5 -112 2174 (base 14) to base 6 42442 What is 207 (base 9) in base 4? 2221 What is -7025 (base 9) in base 15? -17bb Convert -1a1 (base 12) to base 14. -14d What is 10111011 (base 2) in base 13? 115 What is -723 (base 11) in base 13? -5...
{ "pile_set_name": "DM Mathematics" }
derivative of s**4/24 - s**2. Let a(u) = 3*u. Determine l(a(w)). 3*w Let h(u) be the third derivative of u**5/15 + 25*u**2. Let i(p) = 3*p**2. Give i(h(v)). 48*v**4 Let z(j) = 5086*j. Let s(y) = -y**2. Give z(s(n)). -5086*n**2 Let n(z) be the third derivative of z**4/8 - 14*z**2. Let w(h) be the second derivative of h*...
{ "pile_set_name": "DM Mathematics" }
value? (a) -5 (b) d (c) f c Let y = 0.001 + 14.999. Let t = y + -15.3. What is the third biggest value in -2/3, 0, 0.2, t? t Let d = -64.2 + 64.3. Which is the biggest value? (a) 1/6 (b) 1/24 (c) d a Suppose 4*l - 5*n = -19, 5*n = -l + 7 + 7. Which is the fourth biggest value? (a) -0.5 (b) 0 (c) l (d) -0.1 c ...
{ "pile_set_name": "DM Mathematics" }
/5 (d) -43 a Which is the second smallest value? (a) 7/6 (b) 1/4 (c) -0.1 (d) -0.5 (e) 0.1 c Which is the smallest value? (a) -6 (b) -5 (c) 0.2 (d) 2 a What is the biggest value in -31, 2/19, 0.1, -0.4? 2/19 What is the third smallest value in 65, -6, 2/7, -2/7, 5? 2/7 Which is the second biggest value? (a) ...
{ "pile_set_name": "DM Mathematics" }
939932.7 0.167 * 0.00536468 0.00089590156 -0.066 * 14355 -947.43 -9349 times -291 2720559 4 * -2857385 -11429540 What is the product of 0.3 and 21923940? 6577182 What is the product of 1 and 0.12514697? 0.12514697 What is -0.96471 times 157? -151.45947 What is the product of 16754 and -347? -5813638 Work out 10349082 *...
{ "pile_set_name": "DM Mathematics" }
v be (-6)/(-3)*(a - -7). Solve -2*u - 5*s = -7, s = -3*s + v for u. -4 Suppose -t + 4*c - 9 = 0, 4*c - 6 - 6 = 0. Suppose t*i + 15 = -0*i. Let x = i + 9. Solve 6 + 2 = -y - 4*z, -8 = -3*y + x*z for y. 0 Let u(q) = 2*q - 10. Let o be u(8). Let m(g) = -g**2 + 8*g - 1. Let b be m(o). Solve d + 3*r - 1 = 0, 4*d + b = 5*r ...
{ "pile_set_name": "DM Mathematics" }
07)*(h - 23)**2/3 Let g**2 + 16457*g - 3787268 = 0. Calculate g. -16684, 227 Find y such that 5*y**2 + 360589780*y + 6501249472022420 = 0. -36058978 Factor 2*g**4/3 + 1102*g**3/3 + 1100*g**2/3. 2*g**2*(g + 1)*(g + 550)/3 Determine i, given that -i**2/2 - 180947128*i - 16370931565724192 = 0. -180947128 Suppose -2*p**2/9...
{ "pile_set_name": "DM Mathematics" }
3*q = 949*p + 951*p - 15 for p. 3 Solve 3*o = 6*r + 42, -5*o - 3*r + 110 = 92 for o. 6 Solve 3*n + 42 - 58 = -5*w, 11*w = 2*n + 61 for w. 5 Solve 3*m - 5*x + 32 = 7*m, 0 = 5*x - 20 for m. 3 Solve -5*w - 26*a - 37 = -30*a, -3*w - 2*a - 9 = 0 for w. -5 Solve -23*g + 20*g + 31 = 2*m, 4*g + 5*m = 60 for g. 5 Solve 4*l + 2...
{ "pile_set_name": "DM Mathematics" }
9689837 kilograms to milligrams. 968983.7 What is 2016.742 millennia in centuries? 20167.42 What is 1494.511 millennia in centuries? 14945.11 How many micrograms are there in 13/8 of a milligram? 1625 What is 3/5 of a centimeter in millimeters? 6 How many millilitres are there in 3/8 of a litre? 375 Convert 2.213583 mi...
{ "pile_set_name": "DM Mathematics" }
u**5/15 - 7*u**3/3 - 26. Let c(q) be the third derivative of v(q). What is the second derivative of c(m) wrt m? 280*m**3 Suppose l = 4*s + 4, -20 = -2*l - 3*l + 5*s. What is the derivative of -11*t**4 - 17*t**l + 2151 - 2172 wrt t? -112*t**3 Let n(x) = -3*x - 3. Let c be n(-2). Suppose c*m - 2 = 7. Find the second deri...
{ "pile_set_name": "DM Mathematics" }
**2 + q + c*r and give n. 574 Express -2*q + 3*q - 226*q**2 + 474*q**2 - 1 - 235*q**2 + 0*q as k*q**2 + d + o*q and give d. -1 Rearrange 4*r - 2*r**3 - 55582 - 4*r - 9*r**2 + 55584 to h + w*r**3 + a*r + t*r**2 and give t. -9 Express 0 + 21*x**2 - 2 + 58*x**2 + 12*x**2 in the form h*x**2 + r + l*x and give h. 91 Express...
{ "pile_set_name": "DM Mathematics" }
be (k/(-24))/(1/3804). Suppose -b = -18*v + 16*v. Round v to the nearest 10000. 60000 Let r = -0.03191 - -139.38191. Let j = r + -2.85. Let u = j + -96. Round u to the nearest integer. 41 Let b = -0.31799 + -0.06347. Round b to two decimal places. -0.38 Let q = 0.035 - 60.035. Let n = -342030.39974 - -342090.4. Let l =...
{ "pile_set_name": "DM Mathematics" }
p(d) = -7*d - 5. Let a(b) = -8*b - 6. Let s(m) = -5*a(m) + 6*p(m). Give j(s(n)). 20*n Let x(r) be the third derivative of -r**5/15 - r**3/3 - r**2. Let y(c) = -5*c**2 - 3. Let f(u) = 3*x(u) - 2*y(u). Let t(w) = 2*w. Determine t(f(v)). -4*v**2 Let j(l) = 20*l**2 + 8*l. Let s(q) = 13*q**2 + 5*q. Let x(i) = 5*j(i) - 8*s(i...
{ "pile_set_name": "DM Mathematics" }
he nearest one million? 345000000 Round 937289.28 to the nearest ten thousand. 940000 Round -8654083.91 to the nearest one hundred thousand. -8700000 Round 0.00128517134 to 4 decimal places. 0.0013 Round 0.000935871588 to 7 decimal places. 0.0009359 What is 0.0160034685 rounded to five dps? 0.016 What is -0.00795881929...
{ "pile_set_name": "DM Mathematics" }
culate the remainder when 17861 is divided by 2158. 597 What is the remainder when 33124 is divided by 125? 124 What is the remainder when 99062 is divided by 28? 26 What is the remainder when 37719 is divided by 287? 122 Calculate the remainder when 981 is divided by 187. 46 Calculate the remainder when 6779 is divide...
{ "pile_set_name": "DM Mathematics" }
**2*r + 240*o*r**3 What is the second derivative of 5228*i**2 - 8954*i wrt i? 10456 What is the third derivative of -13*r**2*z**4 + 113*r**2*z**2 - 2*r**2*z + r*z**6 + 2*z**2 wrt z? -312*r**2*z + 120*r*z**3 Find the second derivative of -6*n**4 + n**3 - 303*n**2 + 7098*n wrt n. -72*n**2 + 6*n - 606 Differentiate -5431*...
{ "pile_set_name": "DM Mathematics" }
5*-2*-4*6/(-8). -74 -50*(-356)/(-13350)*402/8 -67 What is 1570/314*(-23)/(575/(-160))? 32 What is ((-16568)/(-6213))/(3/((-12)/4))? -8/3 ((-7)/(-280)*-15*2/(-3))/(11376/(-576)) -1/79 (((-572)/(-32))/13)/(((-5)/4)/((-190)/(-38))) -11/2 What is (-5)/150*-5*7776/(-486)? -8/3 What is (872/(-1308))/((-9)/30)? 20/9 What is t...
{ "pile_set_name": "DM Mathematics" }
). Let j be 2*k - (-2 - 1). Let y(i) = -i**3 + 29*i**2 - 28*i - 2. Let m be y(28). Sort j, m, 1. j, m, 1 Let y = 18 - 32. Let k be (-4)/y + 132/(-21). Let g(o) = o**2 + 6*o + 1. Let v be g(k). Sort -1, -3, v in descending order. v, -1, -3 Suppose -15*r - 26*r + 205 = 0. Put -32, 0, r in increasing order. -32, 0, r Let ...
{ "pile_set_name": "DM Mathematics" }
- 35 = -3*u. Calculate the greatest common factor of u and 117. 13 Let w = -1 - -3. Let n(y) = 3*y**2 + y - 2. Let z be n(w). Let b(r) = -2*r - 8. Let x be b(-7). Calculate the greatest common divisor of z and x. 6 Let k be 2/(1/((-38)/(-4))). Suppose -415 = -2*c - 86*n + 83*n, 4*c = -4*n + 832. Calculate the greatest...
{ "pile_set_name": "DM Mathematics" }
0)/sqrt(2) - (sqrt(12) + -4*sqrt(12))/sqrt(6)). -24*sqrt(2) Simplify (0 + 4*sqrt(48))**2 - ((-4*sqrt(27))**2 + sqrt(27) + 3). -3*sqrt(3) + 333 Simplify (((sqrt(1573) - sqrt(1573)*1)*-1 - 2*sqrt(1573)*5)*2)**2 + -5. 629195 Simplify (2*(sqrt(176)*-1 + sqrt(176)) - sqrt(440)/(sqrt(10) + (2*sqrt(100) - sqrt(100))/sqrt(10))...
{ "pile_set_name": "DM Mathematics" }
be o(0). Let f be t*(-2)/(-4)*18. Solve g = -2*g + f for g. 3 Let w(k) = -2*k + 6. Let s be w(4). Let o be 4/8 - s/(-4). Solve -n + 2 + o = 0 for n. 2 Let t be -3*(-3)/9*3. Solve -m + 0*m + t = 0 for m. 3 Let k be -3 - 3*(0 + -3). Suppose 0 = a + 2*a - k. Solve 0 = a*w - 4*w - 8 for w. -4 Let j(w) = -w**3 - 5*w**2 + 7...
{ "pile_set_name": "DM Mathematics" }
79. Suppose -r*a + g = -2*a. What is the greatest common divisor of a and 11? 11 Suppose -3*z + 909 + 1296 = 5*y, -2*z - 441 = -y. Let s = y - 155. What is the highest common divisor of 26 and s? 26 Let g = 56 + -45. What is the greatest common factor of 11 and g? 11 Let c be 9 - (1 + -2)*-2. Let r be (-6)/(-21) + 26/c...
{ "pile_set_name": "DM Mathematics" }
- 3). Let o(a) = 11*a. Determine u*i(t) - 3*o(t). -3*t Let q(z) = 52*z + 13. Let i(u) = 28*u + 7. Let m(c) = 11*i(c) - 6*q(c). Let y(a) = -13*a - 3. Determine -7*m(d) + 2*y(d). 2*d + 1 Let v be (78/12 - 4)*-2. Let h(t) = -2*t**2 - 8. Let w(r) = 1. What is v*w(x) - h(x)? 2*x**2 + 3 Let b(t) = 7*t - 1. Let p = 579 + -581...
{ "pile_set_name": "DM Mathematics" }
*3 - 142899634796*h**2 - 13996465086576*h - 342850522289618. -2*(h + 49)**2*(h + 267203)**2 Factor -y**3 - 881*y**2 + 8556*y + 2077920. -(y - 52)*(y + 45)*(y + 888) Determine v so that -25*v**3/3 + 819470*v**2/3 + 600985*v = 0. -11/5, 0, 32781 Determine z so that -z**2/2 - 909865*z/2 - 1819722 = 0. -909861, -4 Suppose ...
{ "pile_set_name": "DM Mathematics" }
minutes after 10:32 AM? 9:37 PM What is 675 minutes before 5:37 PM? 6:22 AM How many minutes are there between 5:46 PM and 8:22 PM? 156 How many minutes are there between 2:33 PM and 5:55 PM? 202 How many minutes are there between 6:45 AM and 5:02 PM? 617 What is 453 minutes after 6:55 AM? 2:28 PM What is 583 minutes ...
{ "pile_set_name": "DM Mathematics" }
-14)/3)/((-10)/150). Suppose -2*w + 18 = -2*u, -u - 5 = -w + 4*u. What is the greatest common factor of f and w? 10 Let y(i) = i - 4. Let f be y(6). Let h(v) = v**3 - 5*v**2 - v - 12. Let c be h(6). What is the highest common factor of f and c? 2 Let b(j) = j**2 + 6*j + 7. Let i be b(-6). Suppose -6*c = -i*c + 14. What...
{ "pile_set_name": "DM Mathematics" }
3 (e) 0 c Which is the nearest to 0? (a) 89 (b) -8895 (c) 3 c What is the closest to 14.6 in 0, -42/341, 0.3, 4? 4 Which is the nearest to -5054? (a) -23 (b) 1/5 (c) -3 a Which is the closest to 0? (a) 0 (b) -551409 (c) 0.2 (d) -0.73 a Which is the nearest to -11? (a) 11 (b) -204 (c) 7 (d) -0.3 d What is...
{ "pile_set_name": "DM Mathematics" }
0 Round 514589.97 to the nearest 1000. 515000 Round 140.64511 to the nearest integer. 141 What is -7.8570493 rounded to three dps? -7.857 What is -3534230.2 rounded to the nearest ten thousand? -3530000 What is -0.240814505 rounded to 2 dps? -0.24 Round 0.2854411 to four dps. 0.2854 What is 275281.68 rounded to the nea...
{ "pile_set_name": "DM Mathematics" }
2, u: 1, o: 1, a: 2, l: 1}? 2/21 Two letters picked without replacement from {n: 1, u: 3, q: 4, i: 4, h: 1, l: 4}. Give prob of sequence ul. 3/68 Two letters picked without replacement from {f: 1, v: 1, d: 1, j: 2}. Give prob of sequence vf. 1/20 Three letters picked without replacement from qvqqbbrvrrvvrfrq. What is p...
{ "pile_set_name": "DM Mathematics" }
-b + 15 = n*b for b. 5 Let j = -12 - -28. Suppose -17 = 5*s - 7. Let n = 6 + s. Solve n*g + 0 + j = 0 for g. -4 Suppose -l + 4*l + 9 = 0. Let f(c) = -c**2 - 14*c + 1. Let w(n) = -3*n**2 - 40*n + 3. Let s(g) = 17*f(g) - 6*w(g). Let x be s(l). Solve -1 - 1 = x*o for o. -1 Suppose m + 0*m - 7*m = 0. Suppose 4*i = -3*w - ...
{ "pile_set_name": "DM Mathematics" }
118. Is j prime? True Suppose -3*x - 51493 = -5*t - 4*x, -2*t + 20588 = 5*x. Is t a prime number? False Is (-4)/14 - (106200/(-35) + -1) prime? False Let r be 45/(-9) - (-2 - 163). Is 1310*(144/r - (-2)/(-5)) prime? False Suppose -5*b + 3*x + 4952 = 6*x, -x - 2974 = -3*b. Is b a prime number? True Suppose 0 = -2*y + 8....
{ "pile_set_name": "DM Mathematics" }
tens digit of i? 7 Suppose 3 - 2 = -2*r + 5*s, -2 = -3*r + 4*s. Suppose r*v - 6 = 34. What is the tens digit of v? 2 Let k(m) be the third derivative of m**5/30 + m**4/4 + 2*m**2. Let o(l) = -l**2 - 12*l - 4. Let r be o(-12). What is the units digit of k(r)? 8 Suppose 3*m - 3*f = -2*f - 125, -5*m + 5*f = 215. Let z = ...
{ "pile_set_name": "DM Mathematics" }
= 3*n**2 - 122*n - 517. Determine x(40). -597 Let z(w) = -9*w**2 - 55*w - 13. Determine z(-6). -7 Let k(v) = -v**2 - 96*v - 388. Determine k(-93). -109 Let z(r) = -r**2 - 58*r + 331. What is z(6)? -53 Let g(i) = -2*i**3 + 5*i**2 + 14*i + 4. Calculate g(-5). 309 Let k(m) = 744*m + 17. What is k(0)? 17 Let i(s) = -2*s**...
{ "pile_set_name": "DM Mathematics" }
Calculate prob of sequence vnp when three letters picked without replacement from nvznvynpny. 1/90 Four letters picked without replacement from spovoppeovopsoopossw. Give prob of sequence vseo. 7/14535 Two letters picked without replacement from {w: 1, p: 3, g: 6, r: 1, f: 3}. What is prob of sequence rp? 3/182 Four l...
{ "pile_set_name": "DM Mathematics" }
cement from xsmss? 3/10 Two letters picked without replacement from {k: 7, z: 8, e: 4, h: 1}. Give prob of picking 1 z and 1 e. 16/95 Three letters picked without replacement from {s: 1, b: 1, f: 1, w: 1, q: 2, x: 1}. Give prob of picking 1 x, 1 b, and 1 f. 1/35 What is prob of picking 1 n and 2 k when three letters pi...
{ "pile_set_name": "DM Mathematics" }