text
stringlengths
270
8.19k
meta
dict
k is positive. k**(155/12) Simplify ((f**3*f*f*f**7)/((f/(f*f**5*f))/(((f**6*f)/f*f*f*f)/f)))/((f**(1/3)*f)**(-33))**(4/7) assuming f is positive. f**(358/7) Simplify (c*c**(-5)/c*c**(-1/11))**(13/4)/(c**(1/2)/(c**(5/4)/c)*(c**4/c)/(c**3/c)) assuming c is positive. c**(-783/44) Simplify (z**5*z**(-7/2))/(z**2*z*(z*z**(...
{ "pile_set_name": "DM Mathematics" }
(g). g**3 - 2*g - 1 Let x(k) = 11*k**3 + 8*k**2 - 9*k - 7. Let w(r) = 8*r**3 + 7*r**2 - 7*r - 7. Calculate 5*w(d) - 4*x(d). -4*d**3 + 3*d**2 + d - 7 Let l(g) = -2895*g + 27 - 2897*g + 11583*g - 2892*g - 2898*g. Let f(j) = 1. Give 4*f(r) - l(r). -r - 23 Let c(x) = 243*x + 54. Let j(g) = 4*g + 1. Let w(v) = c(v) - 60*j(v...
{ "pile_set_name": "DM Mathematics" }
e 0 = g - 6 - 4. Let t be 3 + g/(-1) + 2. Does 18 divide (-240)/(1 + t) - 0? False Suppose 2*f + 16 = -2*h, 5*f = -0*f + 3*h - 8. Let m be f/(-3 - 1 - -2). Suppose 0 = m*b + b + 4*p - 44, 48 = 2*b - 2*p. Does 17 divide b? False Let s = -10133 + 6998. Is (-4)/6*s/10 a multiple of 29? False Let d be 4*(-3 + 5) + -2. Does...
{ "pile_set_name": "DM Mathematics" }
ommon divisor of v and j. 11 Suppose 13*d = 14*d - 143. What is the greatest common divisor of d and 39? 13 Let w(n) = 23*n + 379. Let i be w(-16). Calculate the greatest common divisor of i and 1023. 11 Let i be 1215/75 + (-4)/(-60)*-3. What is the highest common divisor of 1424 and i? 16 Let a(u) = 5*u**2 - 2*u - 2. ...
{ "pile_set_name": "DM Mathematics" }
rounded to the nearest one thousand? 493000 What is -101.4787775 rounded to one decimal place? -101.5 What is -531.1655 rounded to the nearest one hundred? -500 Round 0.010063796 to 3 dps. 0.01 Round -0.000148856585 to five decimal places. -0.00015 What is -409628.7 rounded to the nearest one hundred? -409600 Round -31...
{ "pile_set_name": "DM Mathematics" }
f 202820. 2, 5, 10141 List the prime factors of 488712. 2, 3, 7, 2909 What are the prime factors of 1268059? 13, 23, 4241 List the prime factors of 24702. 2, 3, 23, 179 What are the prime factors of 6134463? 3, 681607 What are the prime factors of 280103? 280103 List the prime factors of 73375. 5, 587 List the prime fa...
{ "pile_set_name": "DM Mathematics" }
w**3 as r*w + h*w**3 + o + a*w**4 + b*w**2 and give a. -1 Rearrange -15 - 7*t + 9*t - 13 to the form l*t + d and give l. 2 Rearrange p**2 - 3*p**3 - p**2 - 24*p**3 + 0*p**3 - 35*p**3 + (-2*p**3 + 5*p**3 - 2*p**3)*(1 + 1 + 0) to the form r*p**2 + y*p**3 + a + x*p and give r. 0 Express -10*f**4 - 4*f**3 - 12*f**4 - 2*f**...
{ "pile_set_name": "DM Mathematics" }
.11910829. -1.05910829 -24289537+-1865740 -26155277 What is 0.52 + -105623022.72? -105623022.2 Calculate -356894 + 80001.3. -276892.7 What is -3955 - 192627160? -192631115 Calculate 277997957756 + -4.4. 277997957751.6 186600093447 - 34 186600093413 Subtract -9 from -1274796792.629. -1274796783.629 What is -3 plus 15646...
{ "pile_set_name": "DM Mathematics" }
+ 151a0? 9a66 In base 15, what is 0 - -61274a? 61274a In base 2, what is -110110100011111110101011 + 101? -110110100011111110100110 In base 11, what is -851a413 - -4? -851a40a In base 14, what is -3 - 6418c? -64191 In base 14, what is 3c8 + -2c29? -2841 In base 7, what is 21 + 12301423? 12301444 In base 7, what is 1134...
{ "pile_set_name": "DM Mathematics" }
/735? 1/21 What is the value of 7/(56/88) + -8 + 11? 14 What is (5/2*180/50)/(-3)? -3 Evaluate 2464/(-858) + 5 + (-10)/6. 6/13 Evaluate ((-6)/(-78) - (2828/91 - 3)) + -5. -33 Evaluate 5 + (-6 + (-168)/(-20))/((-6)/15). -1 Evaluate 19/(-10)*30/(-63) + 2/3. 11/7 Evaluate (-12 + (-37)/(-3))/((-4)/36). -3 238/68*-1*(-42)/(...
{ "pile_set_name": "DM Mathematics" }
meters? 8306296 What is 6/25 of a centimeter in micrometers? 2400 What is 8.35868 centimeters in meters? 0.0835868 What is three tenths of a tonne in kilograms? 300 How many months are there in 9290.43 years? 111485.16 What is 3/5 of a century in decades? 6 Convert 96.40886 centuries to millennia. 9.640886 How many mil...
{ "pile_set_name": "DM Mathematics" }
sqrt(132)/sqrt(3)*-3)))*1)**2*-4. -11280 - 256*sqrt(11) Simplify ((sqrt(228) - -5*sqrt(228)*-2 - sqrt(228))/(((sqrt(12)*1)/sqrt(3) - sqrt(4)) + sqrt(4)))/(6*sqrt(147) - -5*sqrt(147)). -10*sqrt(19)/77 Simplify (5*(sqrt(110)/(sqrt(10) - (sqrt(1000) + sqrt(1000)*-3 + sqrt(1000))) + 4 + (0 + sqrt(176) - sqrt(176)) + -1 + ...
{ "pile_set_name": "DM Mathematics" }
03 = -3*x. Suppose -13769 = 21*o - a*o. Is o prime? False Suppose -93*z - 997759 = -100*z. Is z composite? False Let t(m) = -15*m**2 + 3*m - 38. Let k(s) = 8*s**2 - 2*s + 19. Let j(i) = 7*k(i) + 3*t(i). Is j(-6) prime? False Let k(h) = -h. Let o(l) be the first derivative of 27*l**4/4 + 2*l**3/3 - 2*l + 3. Let c(d) = -...
{ "pile_set_name": "DM Mathematics" }
rt i, b, g. g, i, b Let a = -2 + 5. Put a, -2, -0.06 in decreasing order. a, -0.06, -2 Suppose -d - 4*d + 5*a = -5, -2*d + 4 = -4*a. Put -2, d, 5, -5 in decreasing order. 5, d, -2, -5 Let s = 0.14 - 0.08. Let c = s - -0.14. Sort 0.4, 1/3, c. c, 1/3, 0.4 Let c = -4193/20 - -813/4. Suppose -3*r = 2*r - 5*h - 55, 3*h = -1...
{ "pile_set_name": "DM Mathematics" }
lse Is 80767 a composite number? True Is 33249 composite? True Is 109159 a prime number? True Is 21701 prime? True Is 176173 a composite number? True Is 13649 composite? False Is 2071 prime? False Is 144023 composite? True Is 170743 a prime number? False Is 45457 composite? True Is 1691897 composite? False Is 16477 com...
{ "pile_set_name": "DM Mathematics" }
. Let g = m + -9. Calculate the remainder when g is divided by 12. 9 Suppose -4*r + 51 = 7. Suppose 0 = -b - 2*b + 6. What is the remainder when r is divided by 4/(-8) - (-13)/b? 5 Suppose 8 = -3*p + 53. Suppose 2*b + 5*t = -21, -t = 4*b - 0 + p. Calculate the remainder when (-61)/(-1 + 3 + b) is divided by 21. 19 Let ...
{ "pile_set_name": "DM Mathematics" }
et j = 0.216 - -89.784. Let v = -78 + j. Let d = 11.9918 - v. What is d rounded to 3 decimal places? -0.008 Let k = 6928 + -6927.93943. Round k to 2 decimal places. 0.06 Let v = 122 - 79. Suppose -4*g - v = 13. Let o(m) = m**2 + 8*m + 46. Let c be o(g). Round c to the nearest ten. 130 Let y = -0.0868 + -3.2492. Let q =...
{ "pile_set_name": "DM Mathematics" }
at is ((-4 + 6 - 8) + 15 - 11) + (0 - 2)? -4 Evaluate -2 + 4 + -56 - (188 - 190). -52 Calculate -216 + 283 - (44 - -9). 14 Calculate 11 + -18 + -26 - (0 - -10 - 14). -29 What is (29 - -2) + -132 + (266 - 136)? 29 (62 - (-65 + 117)) + (-42 - (-1 + -1)) -30 Evaluate (113 - (-5 - -161) - (0 - -14)) + -1. -58 What is the v...
{ "pile_set_name": "DM Mathematics" }
10 Let l(x) = 3*x**2 + x + 2. Suppose 2*i + 6 = 3*i. Let p = 5 + i. Calculate the remainder when l(3) is divided by p. 10 Suppose 319 = 5*g - 136. Let a = g + -41. Suppose 2*n + 2*p = -2*n + 72, p + 15 = n. Calculate the remainder when a is divided by n. 16 Let o be 80/6 + 7/(-21). Suppose -o*v + 11*v = -22. Suppose q...
{ "pile_set_name": "DM Mathematics" }
t replacement from xzxxzxzvzjxzxccx. What is prob of picking 1 j and 3 x? 1/52 What is prob of picking 2 g and 2 m when four letters picked without replacement from mmggmggmmggmmmggmgg? 135/323 Calculate prob of picking 4 t when four letters picked without replacement from {z: 12, t: 5, s: 1}. 1/612 What is prob of pic...
{ "pile_set_name": "DM Mathematics" }
+ 22*n with respect to n. 36*n**3 - 2 Let u be (30/9)/((-6)/(-9)). Suppose u = 4*k - 31. What is the first derivative of -32 + 13 + 20*p + k wrt p? 20 Let d(v) be the second derivative of -1/42*v**7 + 1/6*v**3 + 9/20*v**5 - 3*v - 3*v**4 + 5 + 0*v**2 + 0*v**6. What is the third derivative of d(h) wrt h? -60*h**2 + 54 Le...
{ "pile_set_name": "DM Mathematics" }
= -b - 2*j, -v*j - j + 17 = -5*b for b. -5 Let y = -275 + 279. Let a = 27 + -24. Solve 5*b = 20, 0 = -4*i + a*b - 0*b + y for i. 4 Let n(z) = -z**3 + 7*z**2 + 19*z - 6. Suppose 0 = 14*s - 0*s - 126. Let k be n(s). Solve 4*g - k*l = 9, -g - l + 4 = -0*l for g. 3 Suppose 6*i - 35 = -5*j, 100*j = 4*i + 101*j - 21. Solve ...
{ "pile_set_name": "DM Mathematics" }
. 1 Solve 16*a - 18 + 2 = 0 for a. 1 Solve 7*i + 12 = 5 for i. -1 Solve -22 = 6*p + 5*p for p. -2 Solve -113*u + 137 = 24 for u. 1 Solve 16*w = 11*w - 5 for w. -1 Solve 0 = -13*r + 2 - 54 for r. -4 Solve -10 = -7*v + 2*v for v. 2 Solve 0 = -8*o + 7 - 63 for o. -7 Solve 18*d = 14 - 14 for d. 0 Solve 25 = 30*d - 35*d for...
{ "pile_set_name": "DM Mathematics" }
+ 50)**2 Find k such that -5*k**2 + 33435*k + 234290 = 0. -7, 6694 Determine c, given that -4*c**3 + 3444*c**2 - 27344*c + 40944 = 0. 2, 6, 853 Determine o, given that 402*o**4 - 2774*o**3/5 - 3272*o**2/5 + 1544*o/5 + 32/5 = 0. -1, -4/201, 2/5, 2 Factor -t**3 - 16597*t**2 + 432029*t - 2809287. -(t - 13)**2*(t + 16623)...
{ "pile_set_name": "DM Mathematics" }
3/6 + g - 1. Let p(t) be the first derivative of s(t). What is p(n)? -10 Let s = -10 - -1. Let j(m) = m + 4. Calculate j(s). -5 Let y(g) be the second derivative of -g + 0 - 1/2*g**2 + 1/6*g**3. Calculate y(-6). -7 Let g(d) be the first derivative of d**3/3 + 3*d**2/2 + 2*d + 3. Determine g(-4). 6 Let i(q) = q**3 + 7*q...
{ "pile_set_name": "DM Mathematics" }
43625 Convert 6.05567 years to decades. 0.605567 What is 201278.01 months in centuries? 167.731675 How many centimeters are there in 229.687nm? 0.0000229687 Convert 7696.42um to nanometers. 7696420 How many minutes are there in 28/9 of a week? 31360 Convert 67.04471l to millilitres. 67044.71 How many centuries are ther...
{ "pile_set_name": "DM Mathematics" }
.2, 6, -3, 242, 7? -0.2 What is the closest to 8 in 2/9, -3/83, 47, -0.2? 2/9 What is the closest to -0.41 in -1333, -24, -2/25? -2/25 Which is the closest to -0.1? (a) 4 (b) 41.2 (c) 0.0503 c What is the nearest to -743 in -0.4, -0.035, -1/4, 3? -0.4 Which is the closest to 1/3? (a) -1/4 (b) -1008 (c) 96144 a Wh...
{ "pile_set_name": "DM Mathematics" }
41*n**2 - 9*n + 37. What is 9*b(l) - 2*t(l)? -5*l**3 - l**2 + 7 Suppose 0 = a + 1 - 7. Suppose 4*z = -18 - a. Let i(y) = 6 + 5*y**2 - 9 + 5 + 7*y**3 + 3 + 1. Let k(b) = 8*b**3 + 6*b**2 + 7. Give z*i(l) + 5*k(l). -2*l**3 - 1 Let s(j) = 19*j**3 - 6*j**2 - 29*j - 5. Let y(x) = 9*x**3 - 2*x**2 - 10*x - 2. Let p(t) = 3*s(t...
{ "pile_set_name": "DM Mathematics" }
4*y + 11 - 82 = -3*q, 21 = q - 2*y. Let b = q - j. Let x(w) = 2*w + 6. What is x(b)? 18 Let l(h) = -23 + 39*h - 42*h + 0 + 7 + 3. Give l(0). -13 Let v be (2 - 0)/(1/1). Let s be 8/v - (4 - 72). Let c(u) = -76*u - s*u + 148*u - 14*u**3 - 1. Give c(-1). 13 Let f(c) = -c**2 - 5*c - 1. Suppose 2*x = 4*d - 1034, 51 = 3*d + ...
{ "pile_set_name": "DM Mathematics" }
3. Let m be w(-6). Let q(l) = -37*l**2 - 4*l + 6. Let c be q(3). Let d = c + 342. Calculate the highest common divisor of m and d. 3 Suppose 69*k - 46*k + 2382611 = 144*k. Calculate the greatest common factor of k and 203. 203 Let p = -1445 - -2012. Calculate the greatest common divisor of 324 and p. 81 Suppose -14*i =...
{ "pile_set_name": "DM Mathematics" }
s**2 + m*s + r*s**3 + y*s**4 + a and give r. -7 Rearrange -128*n**4 - 142*n**4 + 4*n - 31*n**3 - 2 + 273*n**4 to the form o*n**2 + i*n + c + y*n**4 + v*n**3 and give v. -31 Rearrange (-k**2 + 0*k**2 + 4*k**2)*(-4*k + 5*k + 0*k) + 2*k**3 - 5 - 3808*k**2 + 2 + 3836*k**2 to f*k + a*k**2 + b + p*k**3 and give p. 5 Rearrang...
{ "pile_set_name": "DM Mathematics" }
ithout replacement from {o: 1, a: 1, m: 2, f: 1, i: 2}. Give prob of picking 1 m and 1 a. 2/21 Three letters picked without replacement from itttiittazii. What is prob of picking 1 t, 1 i, and 1 z? 5/44 Three letters picked without replacement from dxdsldlldldldddxsddd. What is prob of picking 2 d and 1 x? 11/114 Two l...
{ "pile_set_name": "DM Mathematics" }
et r be (5/(-15))/((-2 - -3)/75). Does 10 divide 36/((-15)/r*4/6)? True Suppose 2*x + 23 = 5. Does 16 divide (-525)/(-20)*(24/x)/(-1)? False Let o = 267 + 272. Does 11 divide o? True Suppose -16 = -4*l + 4*g, -l + 4*l - 16 = 2*g. Let o = 25 - l. Does 4 divide o? False Let f(v) = -v**2 - 10*v - 11. Let a(r) = -3*r - 4. ...
{ "pile_set_name": "DM Mathematics" }
) Simplify (((y*y**1)/y)**(-37)/((y*y**(-2/13))/y**(-7)))**(2/89) assuming y is positive. y**(-1166/1157) Simplify s**(-1/10)*s**(-7)*(s/s**(3/2)*s)**(-3) assuming s is positive. s**(-43/5) Simplify (p**14*p**(-7/5)/p)**20 assuming p is positive. p**232 Simplify s**(-1/17)*s*s**(-19)*s*((s**(-4)*s)/s)**(-46) assuming s...
{ "pile_set_name": "DM Mathematics" }
Calculate the common denominator of -101/39525 and 24/21607. 1620525 Calculate the smallest common multiple of 109101 and 21. 763707 What is the common denominator of -43/576 and 17/6144? 18432 What is the common denominator of -13/291929 and -7/79617? 875787 Calculate the common denominator of 56/51 and -10/257. 13107...
{ "pile_set_name": "DM Mathematics" }
+ 47*d**2 + 3*d**5)*(-2 + 0 + 1). -163*d**5 - d**4 Expand (2*t**2 - 4*t**2 - 3*t**2)*(6*t - 4*t - 4*t)*(-2*t + 7*t + 8*t). 130*t**4 Expand (10*o**2 + 25*o**2 - 2*o**2)*(-4 - 8 + 19). 231*o**2 Expand (18*n + 22*n + 38*n)*(-60 + 0*n + 53 + 3*n). 234*n**2 - 546*n Expand (5*i + 0*i - 2*i)*(-64 - 50 + 39). -225*i Expand (3*...
{ "pile_set_name": "DM Mathematics" }
Let r = 78 - 78.3. Which is the closest to r? (a) 4 (b) -1.9 (c) -2 b Let g = -143 + 2147/15. Which is the nearest to g? (a) 2 (b) 0.1 (c) -1/6 b Let f be (3/8)/(-8 - 184/(-32)). Let i = 6 + -3. What is the closest to 2 in i, 2, f? 2 Suppose 0 = -2*s - 6 - 2. Let w be 2*(s + 6) - 6. What is the closest to -0.1 in...
{ "pile_set_name": "DM Mathematics" }
e there in 9.116692us? 0.000009116692 How many micrograms are there in 7.971095 kilograms? 7971095000 What is 1/4 of a day in hours? 6 How many hours are there in nineteen quarters of a day? 114 What is 27/4 of a litre in millilitres? 6750 How many millilitres are there in 3/50 of a litre? 60 How many millilitres are t...
{ "pile_set_name": "DM Mathematics" }
- 75 = 20 for f. 20 Solve 60 = -36*i - 98*i - 878 for i. -7 Solve 29*l = -285*l + 6276 + 4 for l. 20 Solve -25*b + 14*b + 1334 = -69*b for b. -23 Solve 12*u + 4188 = 4044 for u. -12 Solve -75062*g = -75064*g - 0 - 42 for g. -21 Solve 0 = b - 2174 + 2166 for b. 8 Solve -170 = 201071*t - 201054*t for t. -10 Solve 76*b + ...
{ "pile_set_name": "DM Mathematics" }
ermine f(n(q)). -22*q Let q(l) = -l**2. Let k(h) = -20*h + 20*h - 240*h - 638*h. What is k(q(d))? 878*d**2 Let o(k) = -k. Let l(b) = 40053*b**2. Give o(l(s)). -40053*s**2 Let r(v) = -2*v + 3. Let m(n) be the third derivative of 5*n**4/8 - 25*n**3/6 - 10*n**2. Let j(u) = -6*m(u) - 50*r(u). Let y(p) = -3*p**2. What is y(...
{ "pile_set_name": "DM Mathematics" }
11*i**2 + i + 41. Calculate the lowest common multiple of u(6) and 19. 152 Let b = 134 + -107. Find the common denominator of 3 + (-6)/((-72)/260) and b/108 - (-1)/4*-89. 3 Let s = 147523/5 - 20800829/705. What is the common denominator of s and -71/105? 4935 Let n be 4/(61152/(-3542714)) + (-1 - 0). Let d = 2785/12 + ...
{ "pile_set_name": "DM Mathematics" }
)/g) assuming g is positive. g**(-7/3) Simplify (b*b**25*b)/(b*b/b**19*b) assuming b is positive. b**43 Simplify ((p/(p*p/(((p*p*p/(p/(((p/(p*p*p**(-26)/p))/p)/p)*p))/p)/p)))/p)**2 assuming p is positive. p**42 Simplify (p*p*(p/(p*p**(2/11)))/p*p/p**(1/4)*p*p*p)/(p**0)**10 assuming p is positive. p**(201/44) Simplify (...
{ "pile_set_name": "DM Mathematics" }
- 1 + 108*f**y wrt f? 93*f**2 Let o(h) = -266*h - 109. Let x be o(-15). Find the second derivative of -3880*t**3 + 2*t**2 + x*t**3 + 6*t - 49*t wrt t. 6*t + 4 Let g(h) = h**2 - 7*h - 16. Let o be g(20). Let w = 66 + o. Differentiate 22*i - w - 7*i + 321 with respect to i. 15 Let z(t) = -15807*t**3 - 3684*t**2 - 65. Let...
{ "pile_set_name": "DM Mathematics" }
next term in 11686245, 23372490, 35058735, 46744980, 58431225, 70117470? 81803715 What is next in 224349057, 224349056, 224349055, 224349054, 224349053? 224349052 What comes next: 270112, 540183, 810232, 1080259, 1350264, 1620247? 1890208 What is next in -143237, -142109, -140229, -137597, -134213? -130077 What comes ...
{ "pile_set_name": "DM Mathematics" }
) - (2 + -4) - 1? 2/23 What is ((-40)/30)/(4/6)? -2 Evaluate 0/((-1 - -1) + (-11 - -10)). 0 What is the value of (-5)/1 + 3 + 5 - 3? 0 28/18 + 11/(-9) + 1 4/3 Evaluate ((-7)/(-2))/(-7) + (-1)/14. -4/7 Evaluate 27/(-6)*4/(-6) - 2. 1 What is 3 - (2 - -2)/4? 2 77/(-99) + 4/2 + -1 2/9 ((-12)/(-171))/((-14)/(-21)) 2/19 What...
{ "pile_set_name": "DM Mathematics" }
- 8*m. 8*m Collect the terms in -8*q**3 + 13*q**3 + 14*q**3. 19*q**3 Collect the terms in 35*o**3 - 6 + 158*o**3 + 6. 193*o**3 Collect the terms in 47*a**3 - 30*a**3 - 20*a**3. -3*a**3 Collect the terms in 22*t + 3*t + 11*t. 36*t Collect the terms in 16*z**3 + 13*z**3 - 8*z**3 - 4*z**3. 17*z**3 Collect the terms in 11...
{ "pile_set_name": "DM Mathematics" }
1. What is 3*d(x) + 5*k(x)? 102*x - 2 Suppose -7*n = -42 + 49. Let q(x) = -5*x**3 - 6*x**2 + 6*x + 6. Suppose -20 = 3*t - 2. Let i(g) = g**3 + g**2 - g - 1. Calculate n*q(u) + t*i(u). -u**3 Suppose 0 = l - 5*l + 28. Let q(r) = r**3 - 7*r**2 + 3*r - 19. Let k be q(l). Let x(i) = -4*i**2 - 13. Let d(h) = h**2 + 3. Deter...
{ "pile_set_name": "DM Mathematics" }
0*x = -5*x + 20. Suppose -x*f - f = -15. What is the second derivative of -4*r**2 - 9*r - 2*r**f + 4*r**2 - 3*r**3 wrt r? -30*r Let f(o) = 3*o**2 + 3*o - 1. Let t be f(3). Let q = -25 + t. What is the third derivative of 2*i**2 - 11*i**2 + q*i**4 - 18*i**4 wrt i? -192*i Let a(s) be the first derivative of 19*s**6/6 + 5...
{ "pile_set_name": "DM Mathematics" }
f for l. -2 Suppose -z - 2*z = f - 15, 0 = -4*z + 5*f + 1. Suppose 2*q + 2 = z. Let p = q - -5. Solve -3*y - g + 4 = 0, -2*y + y - 5*g + p = 0 for y. 1 Suppose -50 = -6*g - 4*g. Let h be 1/(1/8) - (7 - g). Solve 2*d + 0*c = -c - h, 3*d = 5*c - 9 for d. -3 Let b = -50 - -59. Solve -3*j + 4*u - 2 = -0*j, 3*j + b = -3*u f...
{ "pile_set_name": "DM Mathematics" }
1:47 PM and 4:16 PM? 149 How many minutes are there between 1:40 AM and 8:05 AM? 385 How many minutes are there between 5:23 PM and 4:04 AM? 641 How many minutes are there between 6:27 AM and 3:19 PM? 532 How many minutes are there between 6:32 PM and 5:53 AM? 681 What is 448 minutes before 5:13 PM? 9:45 AM How many mi...
{ "pile_set_name": "DM Mathematics" }
). -2*v**2 - 8*v + 6 Let x(c) = -8*c + 7. Let v(m) = m**2 + 10*m - 8. Give -2*v(j) - 3*x(j). -2*j**2 + 4*j - 5 Let h(j) = -30*j**2 + 25*j + 25. Let a(l) be the third derivative of -l**5/60 + l**4/24 + l**3/6 + 29*l**2 + 2*l. Calculate -100*a(f) + 4*h(f). -20*f**2 Let c(g) = 3*g**3 + 969*g**2 - 6*g. Let f(o) = o**3 + 32...
{ "pile_set_name": "DM Mathematics" }
multiple of m and l? 15 Let k be ((-3)/(-6))/(((-3)/20)/3). Let o = k - -16. What is the smallest common multiple of 18 and o? 18 Find the common denominator of 31/11 and (-223 + 4)*(-1)/549. 2013 Suppose 0 = 13*v - 46 - 32. Let a(p) = -2*p. Let c be a(-2). Suppose 4*k - 52 = -3*f, -f + 19 = c*k - 9. Calculate the lea...
{ "pile_set_name": "DM Mathematics" }
m of 17649, 35296, 52943? 17647*h + 2 What is the p'th term of 409, 453, 491, 523, 549, 569? -3*p**2 + 53*p + 359 What is the c'th term of 15881, 31825, 47767, 63707, 79645, 95581, 111515? -c**2 + 15947*c - 65 What is the z'th term of 1679, 6707, 15085, 26813? 1675*z**2 + 3*z + 1 What is the d'th term of -143, -207, -3...
{ "pile_set_name": "DM Mathematics" }
3*y + 135170 = 5*l, 148*y = 150*y + 4*l - 90116. What is the units digit of y? 0 Let i = 100 - 103. Let c(b) = -2*b**3 + 6*b**2 + 13*b + 5. What is the units digit of c(i)? 4 Let k = 138 - -54. Suppose r + 74 = -4*g, -5*g + k = -3*r - 2*g. Let s = -37 - r. What is the tens digit of s? 2 Let z(u) = 567*u - 33. Let d be ...
{ "pile_set_name": "DM Mathematics" }
q**2 - q - 1. Calculate l(c). 11 Let n(a) be the first derivative of -2*a**3/3 - 2*a**2 + a - 11. What is n(-3)? -5 Let z(b) be the third derivative of -b**5/120 + 3*b**4/8 + 4*b**3/3 + 7*b**2. Let w(m) be the first derivative of z(m). Suppose 3*q = q + 8. Calculate w(q). 5 Suppose 0*p - p - 28 = 3*z, 0 = z + 3*p - 4. ...
{ "pile_set_name": "DM Mathematics" }
hat is the s'th term of 453, 442, 449, 480, 541, 638? s**3 + 3*s**2 - 27*s + 476 What is the n'th term of 452, 3654, 12224, 28808, 56052, 96602, 153104, 228204? 441*n**3 + 38*n**2 + n - 28 What is the h'th term of -802, -1530, -2264, -3004, -3750? -3*h**2 - 719*h - 80 What is the j'th term of -21097, -21158, -21221, -2...
{ "pile_set_name": "DM Mathematics" }
of 25590 and 1610? 10 Calculate the highest common factor of 118 and 6807937784. 118 What is the greatest common factor of 7028071 and 163? 163 What is the greatest common divisor of 4119374 and 203? 7 Calculate the greatest common divisor of 669 and 26954233. 223 What is the greatest common divisor of 47996 and 350882...
{ "pile_set_name": "DM Mathematics" }
8*h**3 + h. Calculate the remainder when x(3) is divided by 25. 24 Suppose 2*i - 64 = 36. Calculate the remainder when 598 is divided by i. 48 Let x = 2862 + -2150. What is the remainder when x is divided by 235? 7 Let f(y) = -y**3 - 5*y**2 + y - 3. Let g be f(-3). Calculate the remainder when 34 is divided by -4 - 1*...
{ "pile_set_name": "DM Mathematics" }
s prob of picking 2 e, 1 m, and 1 f? 1/35 Three letters picked without replacement from xcxmgc. What is prob of picking 1 c, 1 m, and 1 x? 1/5 Calculate prob of picking 1 o and 2 n when three letters picked without replacement from doknwwnowoonwo. 15/364 Two letters picked without replacement from {s: 2, d: 1, f: 1, t:...
{ "pile_set_name": "DM Mathematics" }
ors of 1590. 2, 3, 5, 53 List the prime factors of 341. 11, 31 What are the prime factors of 4634? 2, 7, 331 What are the prime factors of 14299? 79, 181 List the prime factors of 2586. 2, 3, 431 What are the prime factors of 741? 3, 13, 19 What are the prime factors of 4255? 5, 23, 37 List the prime factors of 17246. ...
{ "pile_set_name": "DM Mathematics" }
0*s**3 - 5*s**3 + 56*s wrt s? -390*s Let t(u) be the third derivative of 0*u + 0*u**6 - 1/30*u**5 - 1/105*u**7 + 0*u**4 + u**2 + 0 + 0*u**3. Find the third derivative of t(r) wrt r. -48*r Let a(s) be the first derivative of -s**6/180 - s**5/120 - s**3 + 1. Let i(b) be the third derivative of a(b). What is the second de...
{ "pile_set_name": "DM Mathematics" }
8*k + k**2. Let h be a(-8). Suppose 4*b = -3*t + 989, h*t = 4*b - 640 - 331. What is the tens digit of b? 4 Let m = -354 + 375. Suppose -4*z = -m*z + 5304. What is the hundreds digit of z? 3 Let i(p) = -p**3 - 42*p**2 + 40*p + 378. What is the thousands digit of i(-45)? 4 Suppose -10871*a + 10873*a - 4884 = 0. What is ...
{ "pile_set_name": "DM Mathematics" }
(a) s (b) -4/7 (c) y c Let m = -3158 + 3157.7. Which is the biggest value? (a) -10 (b) 0.401 (c) m b Let p = -457/8 - -453/8. What is the biggest value in 0.5, -0.054, p? 0.5 Let x = 4.7461 - -0.0539. Let b = -5.8 + x. What is the third biggest value in b, 2/11, -2/7? b Suppose -9 - 2 = r. Let k(h) = h**2 + 13*h...
{ "pile_set_name": "DM Mathematics" }
) = 15 + 55*o**2 - 15*o - 104*o**2 + 50*o**2. Calculate the remainder when j(20) is divided by 20. 15 Let y(l) = 463*l - 1381. Calculate the remainder when y(5) is divided by 242. 208 Let p = -162 + 178. Let a(v) = -v**2 + 24*v - 102. Calculate the remainder when 102 is divided by a(p). 24 Let i = 6348 + -6322. Calcula...
{ "pile_set_name": "DM Mathematics" }
0. -2, 0 Suppose 0 = 3*v - 8 - 4. Suppose 0 = 3*w - v*w. Find a, given that 0 + w*a + 0*a**2 - 2/7*a**4 - 2/7*a**3 = 0. -1, 0 Let h = 77 - 70. Let l(i) be the second derivative of 0*i**4 + 0*i**5 + 0*i**3 + 0*i**2 - 3*i - 1/135*i**6 - 1/189*i**h + 0. Factor l(r). -2*r**4*(r + 1)/9 Let b(p) = 2*p - 10. Let m be b(7). F...
{ "pile_set_name": "DM Mathematics" }
-3 - 83) + ((-1)/(-14) - 25419/(-3206)). -78 Calculate (32/(-14))/(93/3472) + (24 - (-444)/(-18)). -86 What is the value of 100/(-1400) + -9*(-15)/(-70) + (-26)/(-10)? 3/5 Evaluate (-42054)/(-2795) + -3 - (23 - 11). 3/65 Evaluate (-20894)/323857 - (166/(-155))/(-2). -3/5 What is the value of (-862)/920 + 855/684 - 2/5?...
{ "pile_set_name": "DM Mathematics" }
c - -139. Solve f = 5*z + 6 for z. -1 Let d be (3 + -13 + 2)/(9 + -11). Suppose -5*c + k + 193 = 0, 0 = 3*c - 2*k + d*k - 121. Solve -42*p + c*p = 0 for p. 0 Suppose i - 868 = 23*f - 27*f, 2*i + 5*f = 1739. Solve -862 = -2*w - i for w. -5 Let h(i) = -i**2 + 17*i - 16. Let b be h(14). Let s = b + -30. Let f = s - -4. S...
{ "pile_set_name": "DM Mathematics" }
lse Is -3 greater than -509? True Is -452 bigger than -452? False Does 1 = -44/105? False Are 26 and -0.3 nonequal? True Is 1 > -1/1402? True Is -723 < -723? False Which is smaller: -0.5 or 8/37? -0.5 Is -253 smaller than -250? True Is -3 less than -58/23? True Is -87/4 equal to -21? False Which is smaller: -0.7 or -0....
{ "pile_set_name": "DM Mathematics" }
2*i**5/7 + 184*i**4/7 - 52*i**3/7 = 0. 0, 13/33, 1 Factor z**3/2 + 135*z**2/2 - 273*z/2 + 137/2. (z - 1)**2*(z + 137)/2 Suppose t**5/4 - 3*t**3/4 - t**2/2 = 0. What is t? -1, 0, 2 Factor -6*a**2 + 266*a/5 + 36/5. -2*(a - 9)*(15*a + 2)/5 Factor -5*q**3 - 45*q**2 + 105*q + 1225. -5*(q - 5)*(q + 7)**2 Find b, given that 3...
{ "pile_set_name": "DM Mathematics" }
13) + 9017/4 Simplify (4*sqrt(756))/sqrt(12) + sqrt(63) + (3 + sqrt(63))*2 + sqrt(63). 6 + 24*sqrt(7) Simplify -2 + 3 + 5 + 4 + (-4*sqrt(152))/sqrt(8). -4*sqrt(19) + 10 Simplify 1 + ((sqrt(110) - -3*sqrt(110))/sqrt(10) + sqrt(11) - -4*-3*sqrt(11)). -7*sqrt(11) + 1 Simplify sqrt(22)/(sqrt(11) + ((sqrt(77)*2)/sqrt(7) - s...
{ "pile_set_name": "DM Mathematics" }
e g(-3). Solve u*l - 2*l = 0 for l. 0 Suppose -7*u + 4 = -5*u. Solve -u*y + 25 = -7*y for y. -5 Let z be ((-4)/(-2))/(6/3). Solve 2*k - k - z = 0 for k. 1 Let w(q) = 4*q**3 - 8*q**2 + 4*q - 1. Let t = 6 + -3. Let b(k) = 3*k**3 - 8*k**2 + 3*k - 2. Let i(f) = t*b(f) - 2*w(f). Let z be i(8). Solve 4*l = -z + 8 for l. 1 Le...
{ "pile_set_name": "DM Mathematics" }
What is 347 to the power of 1/2, to the nearest integer? 19 What is the square root of 621 to the nearest integer? 25 What is the third root of 19343 to the nearest integer? 27 What is the third root of 11083 to the nearest integer? 22 What is the third root of 849 to the nearest integer? 9 What is the ninth root of 8...
{ "pile_set_name": "DM Mathematics" }
. Which is the smallest value? (a) d (b) m (c) 2/13 b Let w = 5.4 + -5. Suppose 4*n - 13 = 3. Suppose k + 20 = -n*k. Which is the third smallest value? (a) w (b) k (c) -3 a Let k = 0.173 + -0.073. Which is the third smallest value? (a) 0.5 (b) 1/5 (c) k a Let j = -3.1 + 3.3. Let s = -3 + 5. Let r = 0 - s. What...
{ "pile_set_name": "DM Mathematics" }
ist the prime factors of 518354. 2, 259177 What are the prime factors of 545277? 3, 181759 What are the prime factors of 832137? 3, 103, 2693 List the prime factors of 715922. 2, 311, 1151 List the prime factors of 6301208. 2, 41, 19211 What are the prime factors of 547300? 2, 5, 13, 421 What are the prime factors of 1...
{ "pile_set_name": "DM Mathematics" }
implify (sqrt(2057) - (2*sqrt(2057)*-1)**2 - sqrt(2057)*-1*3)*-4. -176*sqrt(17) + 32912 Simplify -3 + (0 + sqrt(192) + sqrt(192))**2 + sqrt(192) + 5 - (0 + (-1*sqrt(192) + sqrt(192) - sqrt(192))*2)**2. 2 + 8*sqrt(3) Simplify (-5*1*sqrt(684)*1 - (0 + sqrt(684) + -2 + 1*(0 + sqrt(684))))**2. -168*sqrt(19) + 33520 Simplif...
{ "pile_set_name": "DM Mathematics" }
cking 1 c, 1 w, 1 r, and 1 v when four letters picked without replacement from {c: 1, w: 2, y: 6, u: 2, r: 1, v: 6}. 1/255 Four letters picked without replacement from {p: 4, l: 7}. What is prob of picking 2 p and 2 l? 21/55 Three letters picked without replacement from {n: 5}. What is prob of picking 3 n? 1 Four lette...
{ "pile_set_name": "DM Mathematics" }
221382? -i + 5221388 What is the b'th term of 16760, 67029, 150810, 268103, 418908, 603225? 16756*b**2 + b + 3 What is the r'th term of -60160, -60166, -60172, -60178, -60184? -6*r - 60154 What is the n'th term of -1436, -5771, -13004, -23141, -36188? -n**3 - 1443*n**2 + n + 7 What is the q'th term of 26357, 26349, 263...
{ "pile_set_name": "DM Mathematics" }
8 = -y*x. Is 8 a factor of x? True Let z(d) = -d**3 - 4*d**2 + 8*d - 4. Suppose g + 11 = -4*q - 4, 25 = -5*g + 5*q. Is z(g) a multiple of 29? True Let w be (0 + -1)/(-8 - -9). Let n(t) = -10*t. Let s be n(w). Is (-2)/s + (-324)/(-20) a multiple of 11? False Let o = -1124 - -1341. Is 9 a factor of o? False Let i(s) = 20...
{ "pile_set_name": "DM Mathematics" }
*3 + 4*z**2 - 58*z - 3. Calculate r(0). -3 Let l(w) = 2514*w + 7544. Calculate l(-3). 2 Let a(l) = -2136*l + 89719. What is a(42)? 7 Let f(b) = -b**3 + 14*b**2 - 35*b + 611. What is f(14)? 121 Let r(t) = -t**3 - 32*t**2 - 40*t + 1372. Determine r(-29). 9 Let m(h) = -h**3 - 17*h**2 - 3*h + 45. Give m(-16). -163 Let h(f)...
{ "pile_set_name": "DM Mathematics" }
ing a is positive. 1 Simplify ((a**(-30)*a/a**25)/(a*a**19*a)**(-2/27))**49 assuming a is positive. a**(-23128/9) Simplify (n*(n**(-1/16)/n)/n*n*n**(6/7)/n*n)**(-42)/(n**(-6)*n*n**(-6)*n**0*(n**(-1/4)*n)/n*n) assuming n is positive. n**(-185/8) Simplify (b/(b*b**(-1/69)))**19/(b**(1/6)/b)**(26/5) assuming b is positive...
{ "pile_set_name": "DM Mathematics" }
of c**2/2 - c - 2. Let y be v(2). Solve -y + 4 = 3*h for h. 1 Suppose 3*q - 13 = -1. Let p = q - 4. Solve a - 4*a + 3 = p for a. 1 Let k = -7 + 9. Solve k*a + 2*a - 8 = 0 for a. 2 Suppose 6 - 18 = -2*y + 2*q, 5*y = -5*q. Solve -y*f + f = 0 for f. 0 Let t = 4 + -1. Let m = 8 - t. Solve -m*o + 0*o - 15 = 0 for o. -3 Let...
{ "pile_set_name": "DM Mathematics" }
0.11088 + 0.110883549. What is g rounded to 7 decimal places? 0.0000035 Let k = -131.7 + 16.7. Let x = k - -115.00000678. Round x to 7 decimal places. 0.0000068 Let t = -3.2490422 - -3.2426. Round t to 4 dps. -0.0064 Let m = 67992351.999914 - 67992266. Let u = 86.055 + -0.055. Let q = u - m. What is q rounded to five d...
{ "pile_set_name": "DM Mathematics" }
1*z**3 Collect the terms in -1840 + 2*o**3 - 6*o**3 + 16741. -4*o**3 + 14901 Collect the terms in -3*i**3 - 24*i**3 + 51*i**3 + 2*i**2. 24*i**3 + 2*i**2 Collect the terms in -272581*n + 136292*n + 136309*n. 20*n Collect the terms in 0 + 4 - 3 - 36*x - 9 + 8. -36*x Collect the terms in 290 - 290 + 2845*d - 2845*d - 4*d*...
{ "pile_set_name": "DM Mathematics" }
he third biggest value in 0.5, n, -1/3? n Let x = -0.33 - -0.03. Let l = 1.5 + -1.1. Let z be 2/(16/(-6) + 2). Which is the third biggest value? (a) z (b) x (c) l a Let z = -14 - -5. Let w = z - -9. Let i = w + 5. Which is the second biggest value? (a) 2 (b) i (c) 1/2 a Let q = 4453/15 - 297. What is the second s...
{ "pile_set_name": "DM Mathematics" }
er: 2 or d? d Suppose -2*c + 1 = -5*x + 8, 5*c + 3*x = -33. Let t = 20 + c. Does 15 = t? False Let b = 0.3 - -0.2. Is b at most -0.4? False Let z(y) = -3*y**2. Let h = 3 + -1. Let b be z(h). Which is smaller: -11 or b? b Let d(u) = -u + 15. Let x be d(10). Let v be 3*(-4)/9*-3. Which is smaller: x or v? v Let c(a) = a*...
{ "pile_set_name": "DM Mathematics" }
5 Let y(p) = -2*p - 7. Give y(-3). -1 Let i(k) = 5*k + 1. Determine i(-1). -4 Let l(q) = q**2 + 10*q + 10. Determine l(-10). 10 Let l(t) = t**2 - 6*t - 4. What is l(7)? 3 Let z(x) = -x + 98. Calculate z(-10). 108 Let k(b) = -3*b - 14. Determine k(-6). 4 Let t(s) = 19*s**2 - 134*s + 6. Give t(7). -1 Let x(h) = -h**3 + 5...
{ "pile_set_name": "DM Mathematics" }
of f and 16? 16 Let d = 1961/4 - 496. What is the common denominator of ((-3)/(-144)*-2)/(4/234) and d? 16 Suppose -5*s + 17 = 2. Let n be 36/6*((-7)/s + 3). Find the common denominator of 64/(-18) - (4/n - 2) and -71/27. 27 Let j(h) = -h**2 - 4*h + 20. Suppose 0 = l + 2*l - 4*m + 25, -2*l = 2*m + 12. Let z be j(l). Fi...
{ "pile_set_name": "DM Mathematics" }
the tens digit of 987? 8 What is the units digit of 17588? 8 What is the hundreds digit of 436? 4 What is the thousands digit of 18313? 8 What is the ten thousands digit of 24194? 2 What is the thousands digit of 89987? 9 What is the thousands digit of 1826? 1 What is the tens digit of 600? 0 What is the hundreds digi...
{ "pile_set_name": "DM Mathematics" }
et y be d(8). Give j(y). -1 Let r(g) = 30*g - 3. Let z(s) = s + 1. Let x(n) = r(n) + 2*z(n). Determine x(1). 31 Let s(j) be the first derivative of -j + 9/2*j**2 - 13. Determine s(1). 8 Let c(r) = -15*r**3 - 4*r**2 - 9*r - 2. Let x(m) = 7*m**3 + 2*m**2 + 4*m + 1. Let w(b) = 6*c(b) + 13*x(b). What is w(2)? 13 Let b(l) =...
{ "pile_set_name": "DM Mathematics" }
8047 * 0.016. 128.752 Work out -1.9 * 731. -1388.9 What is 0.20805 times 4? 0.8322 What is -646275 times -1.1? 710902.5 What is -0.5 times 611804? -305902 What is the product of -601 and 0.13482? -81.02682 Product of 5037 and -0.007. -35.259 Work out -0.03431 * -54.1. 1.856171 What is the product of -0.2 and 2769.4? -5...
{ "pile_set_name": "DM Mathematics" }
t q be ((-84)/88 + 1)*-4. Let o = -29 - -199/7. Which is the third biggest value? (a) -0.2 (b) q (c) o c Let l = 3 + 1. Let c = 848 + -842.97. Let j = 0.03 - c. What is the third biggest value in j, 5/4, l? j Let t = 5 + -11.5. Let u = t - -6. Which is the biggest value? (a) -0.1 (b) 0.4 (c) u b Let l(g) = g - 9....
{ "pile_set_name": "DM Mathematics" }
enominator of 101/3672 and 133/2040. 18360 What is the lowest common multiple of 13050 and 900? 26100 Calculate the common denominator of -53/12558 and -11/78. 12558 What is the common denominator of 30/104497 and -73/208994? 208994 What is the common denominator of -57/119 and 25/947682? 6633774 What is the least comm...
{ "pile_set_name": "DM Mathematics" }
rime factors of v(-17)? 2, 31 Suppose -7*g + 9 = 2. What are the prime factors of 41 + (-3)/g + 8/4? 2, 5 Let g(x) = -12*x + 56. Let f be g(9). Let m = 57 + f. Suppose 0 = -3*p + w + 310, 2*w = m*p - 2*w - 519. What are the prime factors of p? 103 Let g = -6694 + 7327. List the prime factors of g. 3, 211 Suppose -3*j +...
{ "pile_set_name": "DM Mathematics" }
1 x? 1/10 Two letters picked without replacement from cchencdenynhhec. Give prob of picking 2 c. 2/35 Three letters picked without replacement from {c: 1, h: 1, r: 1, s: 1, z: 1}. What is prob of picking 1 c, 1 h, and 1 r? 1/10 Two letters picked without replacement from {k: 5}. Give prob of picking 2 k. 1 Three lette...
{ "pile_set_name": "DM Mathematics" }
z*o - 71*o + 36 = 0 for o. -2 Let x(y) = -y - 13. Let i be x(-4). Let f(a) = a**2 + 7*a - 19. Let r be f(i). Let k be -3*r/(-3) - -4. Solve 1 - k = t for t. -2 Let g = 5033 - 4879. Solve -44*o = -g - 154 for o. 7 Let j(m) = m**3 + 7*m**2 - 8*m + 9. Let z be j(-8). Let l be z + (18/(-4) + 3)*2. Solve 3*y - l = 5*y for y...
{ "pile_set_name": "DM Mathematics" }
r: 0 or s? 0 Let w = 0 + 0. Suppose w*r = 5*r. Let k = 16254/5 - 3251. Which is smaller: k or r? k Let x = -494 - -495. Is x at most as big as 1/1664? False Let l(f) be the third derivative of -f**5/20 - f**4/24 + 2*f**3/3 - 10*f**2. Let v be l(2). Let b be 6/v - (-115)/150. Do b and 0 have different values? True Let h...
{ "pile_set_name": "DM Mathematics" }
M? 246 What is 573 minutes before 2:53 AM? 5:20 PM What is 195 minutes before 9:34 PM? 6:19 PM How many minutes are there between 5:59 PM and 4:27 AM? 628 What is 176 minutes before 3:37 AM? 12:41 AM What is 367 minutes before 6:40 PM? 12:33 PM How many minutes are there between 6:04 AM and 5:43 PM? 699 What is 405 min...
{ "pile_set_name": "DM Mathematics" }
n increasing order. a, f, 2 Let q = 2.1 - -5.9. Let d = q + -8.3. Let y = -204 - -206. Put -0.4, d, y in decreasing order. y, d, -0.4 Let x be ((-15)/(-21))/((-3)/(-21)). Suppose 0 = x*a + 9 - 29. Put a, -4, 8, 5 in decreasing order. 8, 5, a, -4 Let a be (-1 + 29)*2/(-4). Let o = 11 + a. Put 5, 0, o in decreasing order...
{ "pile_set_name": "DM Mathematics" }
sequence dvy when three letters picked without replacement from vcchvcvdyvcccykcv? 1/408 Four letters picked without replacement from nnmpnepennnpwwddpdw. Give prob of sequence wwmw. 1/15504 Calculate prob of sequence mpp when three letters picked without replacement from {p: 8, m: 3}. 28/165 Calculate prob of sequenc...
{ "pile_set_name": "DM Mathematics" }
e Let r = 39783 + -18910. Is r prime? True Let i(r) = 77*r**2 + 18*r - 44. Is i(3) composite? True Let v = -507 - 28. Let t = -2368 + 1384. Let x = v - t. Is x composite? False Suppose x = 4*q - 11527, 47*x = 42*x - 15. Is q a prime number? False Let i be (-50)/(-15)*(-12)/(-5). Suppose -2*c = -0*c + 118. Let v = i - c...
{ "pile_set_name": "DM Mathematics" }