text
stringlengths
270
8.19k
meta
dict
ing order. -210, -0.5, 2.9, 5 Put 3, 1, 15, -4 in decreasing order. 15, 3, 1, -4 Sort -2, 141, 4/9, -0.08, -8 in ascending order. -8, -2, -0.08, 4/9, 141 Put 910, 90, -3, -1 in ascending order. -3, -1, 90, 910 Sort -3, -32, -5, 0.022, -2 in decreasing order. 0.022, -2, -3, -5, -32 Put 1/5, -1/2, -173.2, -2, 32, 5 in in...
{ "pile_set_name": "DM Mathematics" }
Let l(k) = k**3 - 2*k + 66. Let z be l(y). What is the highest common divisor of 22 and z? 22 Suppose 15*y - 117 = 48. Calculate the greatest common divisor of 352 and y. 11 Let q(o) = o**2 - 4*o - 2. Let x be q(5). Let v(y) = 68 - 5*y + x*y - 65 - 15*y. Let w be v(-3). Calculate the highest common factor of w and 18. ...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from rkbdrrrpporpd? 1/858 What is prob of sequence yqxo when four letters picked without replacement from yxqossyq? 1/420 Four letters picked without replacement from {p: 3, c: 12}. What is prob of sequence ppcp? 1/455 Calculate prob of sequence hgw when three letters picked without replacem...
{ "pile_set_name": "DM Mathematics" }
3 What is the nearest to 23 in -0.2, -0.02, -110.72? -0.02 Which is the closest to -2? (a) -0.16 (b) 2/15 (c) -284 a Which is the closest to 0? (a) -19.9 (b) 2 (c) 4 (d) -3 (e) -0.11692 (f) 2/17 e Which is the closest to 10404? (a) 4/33 (b) -3 (c) 4 c Which is the nearest to -0.019? (a) 1 (b) -66.096 (c...
{ "pile_set_name": "DM Mathematics" }
derivative of 247*x**4 - 266*x**4 - 22 - a wrt x. -76*x**3 Let z(d) be the second derivative of -58*d**6 - d**4/6 - 430*d**3/3 + 2132*d. Find the third derivative of z(v) wrt v. -41760*v Let n(v) = 2*v + 2. Let j(m) = -294*m**2 + 4*m + 29. Let o(x) = -3*j(x) + 6*n(x). Find the first derivative of o(p) wrt p. 1764*p Dif...
{ "pile_set_name": "DM Mathematics" }
x dps? -0.000041 Round 0.10681255 to 4 decimal places. 0.1068 Round 0.1655402 to 1 dp. 0.2 What is 152660000 rounded to the nearest 100000? 152700000 What is 650.229 rounded to the nearest one hundred? 700 Round 873707.49 to the nearest one thousand. 874000 What is -15.636951 rounded to the nearest integer? -16 Round -...
{ "pile_set_name": "DM Mathematics" }
f -1/180*q**5 + 0*q**3 + 1/72*q**4 + 0 + 0*q - q**2. Factor u(w). -w*(w - 1)/3 Let q be (4/20)/(3/6). Factor -6/5*k - 4/5*k**2 - q. -2*(k + 1)*(2*k + 1)/5 Let q = -6 + 10. Suppose q*j - 6 = j. Solve 2 + f - 4*f**3 + 6*f**2 + 4*f**3 - 7*f - j*f**3 = 0. 1 Let f(d) be the third derivative of d**8/1680 - d**6/180 + d**4/24...
{ "pile_set_name": "DM Mathematics" }
y**2 + 19*y**2 - 18*y**2. Let n(x) = 2*x - 4. Let d(j) = 14 - 7 + 3*j - 8 - 6. Let q(g) = -4*d(g) + 7*n(g). Calculate i(q(b)). 32*b**2 Let f(b) = 2222*b. Let x(j) = -2*j - 3. Let u(r) = 32*r + 52. Let s(t) = 3*u(t) + 52*x(t). Calculate f(s(k)). -17776*k Let n(a) = 2*a. Let z(q) = 2*q**2 - 3214003*q. What is n(z(c))? 4*...
{ "pile_set_name": "DM Mathematics" }
- 1 Let f(m) = m + 1. Let q(j) be the third derivative of j**6/60 + j**5/60 + j**4/6 + j**3/3 + 19*j**2. What is 2*f(a) - q(a)? -2*a**3 - a**2 - 2*a Let r(m) = 2*m - 9. Let c(i) = i - 4. Let b(y) = -y**2 - y + 1. Let d be b(0). Let f be (-1 - -2)/(d/(-5)). Let v = 2 + 0. Calculate f*c(w) + v*r(w). -w + 2 Let f(a) = -6*...
{ "pile_set_name": "DM Mathematics" }
e? 3750 How many years are there in 1/20 of a century? 5 What is 2814.277kg in milligrams? 2814277000 How many millilitres are there in 11/2 of a litre? 5500 How many milliseconds are there in 0.8290929 nanoseconds? 0.0000008290929 How many seconds are there in one ninth of a hour? 400 How many meters are there in 630....
{ "pile_set_name": "DM Mathematics" }
f**3 + k and give k. -1 Rearrange -2*m**4 + 3*m**3 - 3*m**3 + 4*m**3 + 1 + 3*m**3 to x*m**3 + f*m + o*m**4 + c*m**2 + b and give x. 7 Express j**3 - 4*j + 26 - 3*j - 26 as c*j + z + t*j**3 + m*j**2 and give t. 1 Express 48*i**2 - 86*i**2 + 114*i**2 as u*i**2 + y*i + d and give u. 76 Rearrange -5*x**3 + 49*x - 48*x - 2 ...
{ "pile_set_name": "DM Mathematics" }
= 5*l - 14. Let o = -27 + 29. Let b be (1 - 1/o)/((-10)/(-120)). Calculate the highest common divisor of b and l. 2 Let v = 53 + -17. Calculate the highest common factor of 576 and v. 36 Suppose -37*o + 36*o + 2 = 0. Suppose -4*i = 5*q - 61, -o*i + 17 = q - 6*i. What is the highest common divisor of q and 13? 13 Let u...
{ "pile_set_name": "DM Mathematics" }
**(3/4)*j)**4)**(-1/16) assuming j is positive. j**(-7/16) Simplify (j/j**(-14))**(-3/4) assuming j is positive. j**(-45/4) Simplify (j**8)**31 assuming j is positive. j**248 Simplify (f**(-2/9))**5/((f*f**(-8))/(f/f**(4/7))) assuming f is positive. f**(398/63) Simplify z/(z**(-2/17)/z)*z/(z/z**(-4))*(z**(-1))**28 assu...
{ "pile_set_name": "DM Mathematics" }
? 20 What is the highest common divisor of 27 and 18729? 9 Calculate the highest common factor of 6048 and 3787. 7 Calculate the highest common divisor of 14 and 118. 2 Calculate the greatest common factor of 10 and 642340. 10 Calculate the highest common factor of 15 and 1373. 1 Calculate the greatest common divisor o...
{ "pile_set_name": "DM Mathematics" }
. 127 What is (4811/(-340) - -14)/(1 - (-316)/(-304))? 19/5 Evaluate (-5089742)/(-1757460) + (-1)/(15/(-2)) - 3. 1/34 Evaluate -44 + (-44 - -76 - -38). 26 Calculate 1617/(-14)*(129/(-18) - -8)*(-16)/(-20). -77 What is the value of 3/(-108)*30348/13488? -1/16 Calculate 4/60 - 0 - (-30171)/(-512640). 1/128 (-117)/(-104) ...
{ "pile_set_name": "DM Mathematics" }
he terms in 21*r - 56*r + 18*r + 21*r. 4*r Collect the terms in -185 - 6*m + m**2 + 6*m. m**2 - 185 Collect the terms in 179*d**3 + 197*d**3 - 124*d**3. 252*d**3 Collect the terms in 2400 - 2400 - 2*o**3. -2*o**3 Collect the terms in 0*q**2 - 252 - 5*q**2 - q**2. -6*q**2 - 252 Collect the terms in 3 + 2 - 5 + 3*x**3. 3...
{ "pile_set_name": "DM Mathematics" }
/108 + (-4)/18 is divided by b. 9 Let a(r) = r**3 - 8*r**2 + 6*r + 2. Let w be a(7). Let z(c) = -c**3 - 5*c**2 - 4*c + 6. Calculate the remainder when 103 is divided by z(w). 25 Suppose -125 = -3*m - b, -2*m + 3*b = -47 - 51. Let k = -47 - -75. Let y = k + -13. What is the remainder when m is divided by y? 13 Suppose 4...
{ "pile_set_name": "DM Mathematics" }
rt(7)/2 Simplify ((sqrt(1872)*1)**2 - (sqrt(13) + 0)*1) + -3 + -6*(-2*sqrt(468)*4)**2. -177843 - sqrt(13) Simplify (5 + (sqrt(36)/(sqrt(2)*2) - sqrt(162)/sqrt(441)))*5. 75*sqrt(2)/14 + 25 Simplify 5*(2 + sqrt(1872) + sqrt(1872)*2 - (2 + sqrt(1573)*2)). 70*sqrt(13) Simplify sqrt(204)/(3*sqrt(432)) - ((sqrt(51)*-1 - sqrt...
{ "pile_set_name": "DM Mathematics" }
= 4*q. Calculate the remainder when 53 is divided by s. 4 Suppose -5*o = -2*z + 21, -4*o - 9 = 3. Suppose -5*u + 290 = -w, -u - 4*w = z*u - 256. What is the remainder when u is divided by 4 + -6 - (-1 + -31)? 29 Let g = -722 - -857. What is the remainder when 941 is divided by g? 131 Let r(i) be the first derivative o...
{ "pile_set_name": "DM Mathematics" }
for p. -1 Solve 12*f + 48 = 4*f for f. -6 Solve 1 + 9 = 5*l for l. 2 Solve 0 = -o - 10*o + 2*o for o. 0 Solve 67*i - 76*i + 36 = 0 for i. 4 Solve 76 = -88*j - 804 for j. -10 Solve 71*h = -40*h - 444 for h. -4 Solve 16*r + 26 = -6 for r. -2 Solve -242*m - 78 = -255*m for m. 6 Solve -85 + 95 = 5*b for b. 2 Solve -23*f =...
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from {d: 2, h: 3}. Give prob of picking 2 d and 1 h. 3/10 Three letters picked without replacement from {u: 15, d: 3}. Give prob of picking 3 d. 1/816 Calculate prob of picking 2 j when two letters picked without replacement from jhjjjhhjjjjjjjjhjjj. 35/57 What is prob of picking 2 e and 2...
{ "pile_set_name": "DM Mathematics" }
/(-212)) + (2 - -1)? 5, 43 Let c = 1088 - 472. List the prime factors of c. 2, 7, 11 Let k(w) = -53*w - 2. Let j be k(-3). Let x = j - 60. What are the prime factors of x? 97 Suppose -h = -2*h - 10. Let w be ((-16)/(-20))/((-1)/h). What are the prime factors of (w/(-10))/(4/(-80))? 2 Suppose -p = 3*x + 23 - 106, 2*p = ...
{ "pile_set_name": "DM Mathematics" }
j - 3*j = 3*i - 24, -9 = -3*j. Suppose c = i*o - 6 - 22. What is the units digit of o? 7 What is the thousands digit of -4*51/(-68)*10072? 0 Suppose 0 = -3*r - 15, 3*b - 2*r + 147438 - 58375 = 0. What is the tens digit of (-22)/(-209) - b/57? 2 Suppose -366 - 685 = -x + 2*k, 4*x - 4240 = -4*k. Let i = x + -350. What is...
{ "pile_set_name": "DM Mathematics" }
ppose 2*k**3/3 - 736*k**2/3 + 1466*k/3 - 244 = 0. What is k? 1, 366 Factor y**3/5 + y**2/5 - 8*y/5 - 12/5. (y - 3)*(y + 2)**2/5 Factor 3*f**3/5 + 3*f**2/5 - 3*f + 9/5. 3*(f - 1)**2*(f + 3)/5 Find w, given that 147*w**5/2 - 1218*w**4 + 3561*w**3/2 - 726*w**2 + 90*w = 0. 0, 2/7, 1, 15 Determine o, given that -o**3 + 43*o...
{ "pile_set_name": "DM Mathematics" }
sqrt(2)*2 + sqrt(2)))**2. -sqrt(17)/60 + 230417/57600 Simplify 6*(1 + sqrt(1331) + 0 + (sqrt(99)*-2*-4)/sqrt(9))*1*3. 18 + 342*sqrt(11) Simplify (sqrt(352)/(sqrt(8) + (sqrt(288)*-3 - sqrt(8))) + -1*sqrt(2816) + -2)*5. -725*sqrt(11)/9 - 10 Simplify -3 + 4*sqrt(12)*-6 + sqrt(12) - (sqrt(363)*2 - (4*sqrt(3) + -4)). -64*sq...
{ "pile_set_name": "DM Mathematics" }
Give prob of picking 1 k and 1 q. 3/5 Two letters picked without replacement from bbnvbbnvnbn. What is prob of picking 1 n and 1 v? 8/55 Calculate prob of picking 2 t when two letters picked without replacement from urrrtrrrrthrbtrtt. 5/68 Calculate prob of picking 2 d when two letters picked without replacement from ...
{ "pile_set_name": "DM Mathematics" }
7? 45/7 (-10270)/(-36340)*20/13 10/23 What is (-376)/2444*(-91)/12*((-99)/70)/(-11)? 3/20 Evaluate 47816/834*16/(-160)*15/(-2). 43 What is the value of (12551/17115)/(1/(-5))? -11/3 738/3*(-652)/1956 -82 Calculate -1*9/(45/134)*1810/724. -67 What is the value of ((-2)/(32/(-16)))/((-140)/(-6720))? 48 315/3969*-105*-9 7...
{ "pile_set_name": "DM Mathematics" }
term of 3865, 7728, 11591? 3863*b + 2 What is the p'th term of 32, 12, -10, -34, -60, -88, -118? -p**2 - 17*p + 50 What is the v'th term of 4412, 4410, 4408, 4406? -2*v + 4414 What is the y'th term of -32, -65, -96, -125, -152, -177, -200? y**2 - 36*y + 3 What is the c'th term of -1154, -2316, -3482, -4652, -5826? -2*...
{ "pile_set_name": "DM Mathematics" }
200 In base 10, what is -3 + -7648? -7651 In base 9, what is 416546 - 2? 416544 In base 5, what is 2 + -1103044? -1103042 In base 15, what is -26e36 - -3? -26e33 In base 3, what is 21 + -12001120210? -12001120112 In base 8, what is -4 - 73521? -73525 In base 3, what is -21110 + 202122? 111012 In base 4, what is 11222 -...
{ "pile_set_name": "DM Mathematics" }
-0*b + 4*s + 72. Let c be (b/35)/((-2)/(-14)). Calculate the highest common divisor of 96 and c. 12 Suppose 4*s + 24 = 4*n, 0 = -2*s - 0*s. Suppose -4*q = -n*q. Suppose -4*c - 2*h + 20 = q, 3*c - c - h - 14 = 0. What is the highest common divisor of c and 24? 6 Let z be (-5)/((-2)/4*60/90). Calculate the greatest comm...
{ "pile_set_name": "DM Mathematics" }
t derivative of -3*c*y + 58405*c - 12*y**4 + y**3 - 551*y wrt y? -3*c - 48*y**3 + 3*y**2 - 551 Find the second derivative of 10*m**3*y**2 + 8567*m**3*y + 2*m**3 - 50129*y**2 wrt y. 20*m**3 - 100258 Find the third derivative of 53*f**6 - 295*f**3 + 2072*f**2 - 3*f wrt f. 6360*f**3 - 1770 Find the third derivative of 162...
{ "pile_set_name": "DM Mathematics" }
-0*m - m. Suppose a*h - 2*h = -m. Solve -h*r - 12 = -7*r for r. 4 Suppose -5*f + 5 = 5*u, 4*u = -0*u + 4*f - 4. Solve u*m + 2*m = 10 for m. 5 Suppose p = -5*q + 26, -23 = -3*p - 10*q + 6*q. Suppose -r = 3*u - 4, 4*u - 3*r + 16 = r. Solve p = -u*b - b for b. -1 Let i(t) be the first derivative of -t**4/24 + 3*t**3/2 - t...
{ "pile_set_name": "DM Mathematics" }
+ 17. Let k be q(13). Suppose -3*z = 2*p - k, -11 = -4*p - 4*z + 17. Calculate the lowest common multiple of 8 and p. 8 Let t(s) = 32*s**2 - s - 1. Suppose 0 = 4*f + 2*q + 170, -62 - 153 = 5*f + 3*q. Calculate the common denominator of t(-1) and (22/f)/(6/(-135)) - 2. 8 Let v = -111/43 + 10777/2709. Calculate the commo...
{ "pile_set_name": "DM Mathematics" }
b Let n = 3 - 2.9. Let u = 0.2 + -0.19. Let i = 2103.3 + -2103. Which is the nearest to n? (a) -3 (b) i (c) u c Let y = -1858 + 1417. Let u = -440.9 - y. Let s = 3/5 - 2/5. Which is the closest to -7? (a) -1/4 (b) u (c) s a Let g be (-7)/(-5) + (-1610)/(-350) + -3. Suppose -4*b - 101 + 257 = 0. Let n be g + b/(-1...
{ "pile_set_name": "DM Mathematics" }
*k - 2/5*k**3 - 246/5*k**2 = 0. What is k? -123, -1, 1 Let r(h) be the second derivative of 9/7*h**2 - 2/7*h**3 + 34*h + 1/42*h**4 + 0. Factor r(f). 2*(f - 3)**2/7 Let u(z) be the second derivative of -z**5/25 - 19*z**4/30 - 18*z**3/5 - 9*z**2 + z - 111. Suppose u(k) = 0. What is k? -5, -3, -3/2 Let j(f) = -101*f**2 - ...
{ "pile_set_name": "DM Mathematics" }
+ q - 2*q + (1 - 2 + 2)*(-2*q + 0*q + 0*q) + 17*q + 13 - 13)*(5*q - 5*q + q). 13*q**2 Expand (7*o + 4*o**2 + 10*o - 7*o**2)*(-5*o**2 - 2*o**2 + 4*o**2). 9*o**4 - 51*o**3 Expand (5*z + 11*z - 2*z + 57*z**3 - 210*z**3)*(-3*z**2 + 4*z**2 + 0*z**2). -153*z**5 + 14*z**3 Expand -3*x**3 + 4*x**3 - 2*x**3 + (2*x**2 - 3*x**2 + ...
{ "pile_set_name": "DM Mathematics" }
*l + 18*f What is the second derivative of 230*j**4 + 4*j**3 - 88*j + 10? 2760*j**2 + 24*j What is the second derivative of -1506*c**2 + 92*c? -3012 Find the third derivative of 854*x**4 + 2*x**2 - 618*x. 20496*x Find the second derivative of -446*z**4 - 564*z. -5352*z**2 Find the second derivative of -399*k**2 + 10*k ...
{ "pile_set_name": "DM Mathematics" }
= 0, -3*s + 3*l = 1416. Let q = s - -325. Let w = 281 + q. Does 51 divide w? False Let s(g) = -23*g - 3. Suppose -7 = 6*n + 23. Does 28 divide s(n)? True Suppose -2*q + 42 = 4*t, 3*q = -0*q + 3*t + 81. Let k = q + -21. Suppose 2*x = -x + 2*w + 228, x - 76 = -k*w. Does 19 divide x? True Let k(o) = 0 - 3 - 5*o + o**3 - o...
{ "pile_set_name": "DM Mathematics" }
when 49416 is divided by 49398? 18 Calculate the remainder when 995675 is divided by 481. 5 Calculate the remainder when 206257 is divided by 41234. 87 Calculate the remainder when 14558 is divided by 500. 58 Calculate the remainder when 302365812 is divided by 262. 258 What is the remainder when 14303081 is divided b...
{ "pile_set_name": "DM Mathematics" }
of y? True Let d(v) be the third derivative of v**6/120 + v**4/24 + 7*v**3/6 - 2*v**2. Let t be d(0). Is t/1 - (-1)/1 a multiple of 4? True Suppose 2*f = -3*f + 3*v, 3*v - 15 = 0. Suppose 4*p - 49 - 19 = -a, f*a + 4 = p. Does 8 divide p? True Let b(o) be the second derivative of o**2 - 1/20*o**5 + 1/2*o**4 + 0 - o - 1/...
{ "pile_set_name": "DM Mathematics" }
fy (s*s/(s**(-2/17)*s)*s**(1/3))**(-41)/((s/(s*s/(s/(s/s**(1/4)*s))*s))**40)**(1/2) assuming s is positive. s**(-229/51) Simplify ((v*(v*v**(-7/2))/v*v**0*v)/(v**(-1/5))**(-1/14))**15 assuming v is positive. v**(-159/7) Simplify ((p*p*(p**(-1/8)*p)/p)/(p*p*p**(-7)))**(-1/62)*((p/p**(-3/2))/p*p**(-2/23))**(-27/5) assumi...
{ "pile_set_name": "DM Mathematics" }
32, -3*g + 40 = 5*k. Suppose -4*c + 2 = -2*c, 0 = -4*d + c + g. Let o(h) = -6*h**2. Let r(x) = -5*x**2. Give d*o(j) - 5*r(j). j**2 Let i(x) = -4*x**3 - x - 2. Let u be 1 - 1 - (-7 + 5). Let s(p) = -14*p**3 + p**3 - 5 - p + 4*p**3 - u*p. Determine -5*i(z) + 2*s(z). 2*z**3 - z Suppose -28 + 13 = -3*k. Let s(r) = -2*r**2 ...
{ "pile_set_name": "DM Mathematics" }
order. -42, -16.6, -2/5, 1/2, 1257 Put 0.1, 24, -28394 in increasing order. -28394, 0.1, 24 Put -56/27, -43, -4, 0, -5 in decreasing order. 0, -56/27, -4, -5, -43 Sort -3, -162, -1, -5, 5, 8178. -162, -5, -3, -1, 5, 8178 Sort 2, -4, 5, 26, -2, -88, 1 in ascending order. -88, -4, -2, 1, 2, 5, 26 Sort -3, 1, 684, -1, 5,...
{ "pile_set_name": "DM Mathematics" }
7.24612821 and 36. 25563.24612821 What is 0.138834 + 1154209.35? 1154209.488834 Sum 0.0044496 and -0.0468701382. -0.0424205382 Subtract -0.727 from -1740072499. -1740072498.273 What is -0.4 plus 161598486317? 161598486316.6 -16817557332+8.34 -16817557323.66 Work out -616 - -25640732150. 25640731534 What is the differen...
{ "pile_set_name": "DM Mathematics" }
st value? (a) 0.8 (b) 5 (c) -2/1067 (d) -31 a Which is the fifth smallest value? (a) 3/8 (b) 2 (c) -0.3 (d) -27.91 (e) -2 b Which is the fifth smallest value? (a) 1/2 (b) -0.07 (c) -2 (d) -1 (e) -69.92 a What is the biggest value in -2/5, 7, -7, 64, -7/5? 64 What is the third smallest value in 3/7, 0.2, 3...
{ "pile_set_name": "DM Mathematics" }
-41, 6, 79, 184, 327? 514 What is the next term in 90, 133, 186, 243, 298, 345, 378? 391 What comes next: -141, -159, -179, -195, -201, -191, -159? -99 What is the next term in -240, -485, -730, -975? -1220 What comes next: -1201, -1199, -1197, -1195, -1193? -1191 What comes next: 4, -18, -58, -122, -216, -346? -518 Wh...
{ "pile_set_name": "DM Mathematics" }
e nearest 10? -70 Let t = 696.1 + -696.22462. What is t rounded to three dps? -0.125 Let s = 17269.28296 - 17269. Round s to 2 dps. 0.28 Let y(d) = 226*d**2 - 10*d - 16. Let f be y(-9). Let h be 16/(6/3*1). Suppose h*n - f + 235180 = 0. Round n to the nearest one thousand. -27000 Suppose 66*d - 2453318 = -836648. Round...
{ "pile_set_name": "DM Mathematics" }
at is the w'th term of -3275, -6476, -9571, -12506, -15227, -17680? 9*w**3 - w**2 - 3261*w - 22 What is the g'th term of -65901, -131643, -197387, -263133, -328881, -394631, -460383? -g**2 - 65739*g - 161 What is the x'th term of 49102, 49105, 49108, 49111, 49114? 3*x + 49099 What is the j'th term of 138539, 138546, 13...
{ "pile_set_name": "DM Mathematics" }
the form b*q**3 + u*q + i*q**2 + z + k*q**4 and give i. -1 Rearrange (-13*x**2 - 9*x + 9*x)*((7*x + 3*x - 3*x)*(-6 + 3 + 1) + (-2 - 3 + 3)*(-3*x + 3*x + 2*x) - 3*x + 7*x - 2*x) to s*x**3 + g*x**2 + d*x + h and give s. 208 Express -197*r**2 + 64*r**2 + 70*r**2 + 223*r**3 + 65*r**2 in the form u*r + v*r**3 + c + z*r**2 ...
{ "pile_set_name": "DM Mathematics" }
(c) -0.1 b What is the third smallest value in -0.45, 0.01, 43? 43 Which is the third biggest value? (a) -2 (b) 0.4 (c) 27 (d) 3 b Which is the fourth biggest value? (a) -2 (b) 2 (c) -0.4 (d) 87.6 a What is the fourth biggest value in 2/3, 43, -5, 0.78? -5 What is the fourth smallest value in 4, -2/7, -2/3, -...
{ "pile_set_name": "DM Mathematics" }
ositive. 1 Simplify ((x*x**4)/x*x/(x**(-7)*x))**4 assuming x is positive. x**44 Simplify (z*z*z*z**(-2))/(z*z**(-4/9)*z*z*z*z)*z**2/(z*z*z**(-2)) assuming z is positive. z**(-14/9) Simplify d*d*d/d**(-8)*d**1*(d/(d/d**6))/d**(-5) assuming d is positive. d**23 Simplify (w/(w*w**2))**(1/4)/(w**(-10)*w/(w**(-1/4)*w)) assu...
{ "pile_set_name": "DM Mathematics" }
16. Suppose -10 = -v*l + 2. Solve -l*h + 2*n + 5 = 3*n, -4*n - 16 = p for h. 3 Suppose 16*b = 12*b + 420. Let u be (b/(-6))/(-7)*2. Solve 2*k + 19 = -u*d - 9, 20 = -d - 4*k for d. -4 Let o(y) = -y**2 + 5*y + 5. Let p be o(5). Suppose c = p - 0, -1 = 4*t - 5*c. Let u = -1 + t. Solve u*d + z + 12 + 8 = 0, 0 = d - 4*z - 1...
{ "pile_set_name": "DM Mathematics" }
-6 + (sqrt(133) + sqrt(133)*-3)*-6 + sqrt(133))/(-1*sqrt(84)/(-6*sqrt(972))). 1026*sqrt(19) Simplify (((sqrt(168)*2*3 - sqrt(168))/((sqrt(70)*-1)/sqrt(10)))/(-3*sqrt(128) + sqrt(8) - sqrt(8) - (sqrt(96)/sqrt(3) + sqrt(8))))**2. 1/3 Simplify 3 + (((sqrt(255)*-3)/sqrt(5))/(-4*sqrt(363) + sqrt(363)))**2 + -2. 138/121 Simp...
{ "pile_set_name": "DM Mathematics" }
sequence odul? 1/7752 Two letters picked without replacement from rroookoroorrorjrjr. What is prob of sequence kr? 4/153 What is prob of sequence mz when two letters picked without replacement from {m: 5, z: 14}? 35/171 Calculate prob of sequence nngh when four letters picked without replacement from ngnnygyyvjh. 1/66...
{ "pile_set_name": "DM Mathematics" }
**3 - 15*z**3 + 26*z**3). -35*z**4 Expand -1 - 555*n - 678*n + 120*n + (-6 + 4 + 5)*(-2*n + 0*n + n). -1116*n - 1 Expand (7 - f - 7)*(269*f + 106*f - 14*f). -361*f**2 Expand (-3*s + 2*s + 2*s)*(21404 + 15188*s + 21403 - 42807). 15188*s**2 Expand (-222*m**2 + 222*m**2 - 23*m**3 + (m - 1 + 1)*(m**2 - m**2 + m**2))*(-10 -...
{ "pile_set_name": "DM Mathematics" }
rt(4) + sqrt(64)))**2 - sqrt(17)). -2*sqrt(17) + 2697/400 Simplify -5*-3*sqrt(175)*-1. -75*sqrt(7) Simplify (sqrt(13)*2 - sqrt(13)) + -5 + sqrt(325)*-1. -4*sqrt(13) - 5 Simplify 1 + (3*sqrt(7) + -3 - (sqrt(350) - sqrt(14))/sqrt(2))**2. 6*sqrt(7) + 17 Simplify (sqrt(153)*2 + 5)*5. 25 + 30*sqrt(17) Simplify (-1*sqrt(35))...
{ "pile_set_name": "DM Mathematics" }
*r + 0*r - 4*r)*(-r**2 - 3*r**2 + 3*r**2) - 1744*r**3 - 11868*r**3 + 2030*r**3). 23158*r**3 Expand 19*s - s + s + (-5 + 5 - 3*s)*(2 + 0 - 6). 31*s Expand (17*u - 34*u**2 - 17*u)*(50 + 9*u**2 - 50)*(0 + 4 - 2). -612*u**4 Expand -1090*x + 1090*x + 51*x**4 + 2*x**3 - 6*x**4 - 2*x**3 + x**4 - x**4 + 2*x**4 + (-x**2 - 2*x**...
{ "pile_set_name": "DM Mathematics" }
= -7 + 2, -5*w - 2*v = -u. Calculate the remainder when 12 is divided by w. 2 Let x(c) = 4*c**2 + 2*c + 3. What is the remainder when x(-2) is divided by 13? 2 Let q(d) = -8*d + 1 + 0*d**2 - 1 - d**2 - 1. What is the remainder when 17 is divided by q(-7)? 5 Let i(l) = -l**2 - 3*l + 4. Calculate the remainder when 7 is ...
{ "pile_set_name": "DM Mathematics" }
Let o(n) be the second derivative of f(n). Let a(p) = 3*p. Determine o(a(u)). 99*u**2 Let o(f) = -f - 4. Let p(c) = -3*c + 39. Let s be p(12). Let n(m) = s*m**2 - 2*m**2 - 5*m**2 + 3*m**2. Determine o(n(v)). v**2 - 4 Let c(d) = -d. Let f(a) be the second derivative of 0 + 1/3*a**3 - 35*a + 0*a**2. Determine c(f(w)). -...
{ "pile_set_name": "DM Mathematics" }
- 7/6*c**3 + 0 + 2*c + 1/360*c**6. Let y(u) be the second derivative of v(u). Give y(6). -6 Let g = -49 - -22. Let b be (16/12)/((-6)/g). Suppose -2 = 4*w + b. Let v(k) = -2*k**2 + k - 1. What is v(w)? -11 Let z(c) = c**3 + 3*c**2 + 5. Let j be 9/(-6) + (-9)/6. Let l(u) = -u + 6*u**2 + 7*u**2 + 2 + u**3 - 11*u**2. Let...
{ "pile_set_name": "DM Mathematics" }
ut replacement from {t: 5, o: 3}? 1/56 Calculate prob of picking 2 v and 1 g when three letters picked without replacement from gggvgvvgvgg. 14/55 Two letters picked without replacement from vpu. Give prob of picking 1 v and 1 u. 1/3 Calculate prob of picking 1 m, 1 v, and 2 b when four letters picked without replaceme...
{ "pile_set_name": "DM Mathematics" }
, 5*k - 8 = d + w for d. -5 Let v(r) = r**3 + 5*r**2 + 2*r - 4. Let h be v(-4). Suppose -3*b - 6 = 0, -3*j = b + b - 20. Let x = -200 + 203. Solve d + j = -x*y, -h*y - 2 = -y - 2*d for y. -2 Let x = -101 + 158. Let o = -45 + x. Solve 3*z - o = 3*u, 7*z = -u + 3*z + 16 for u. 0 Let x(p) = p**3 - 7*p**2 - 2*p + 16. Let s...
{ "pile_set_name": "DM Mathematics" }
of g(d)? 2 Suppose -n = -4*k + 226, 3*n + 4 = 5*n. List the prime factors of k. 3, 19 Let n be (0 - (-1 + 0))*3. Suppose 40 = a - 2*d, 161 = 2*a + n*a + 3*d. What are the prime factors of a? 2, 17 Let d(o) = -2*o**2 + 3*o - 2. Let g(p) = -3*p**2 + 5*p - 4. Let n(i) = 5*d(i) - 3*g(i). Let x be n(0). Suppose -50 = -x*z -...
{ "pile_set_name": "DM Mathematics" }
. Suppose 0*m - 2*m + 4*q + 18 = 0, 11 = -m - 3*q. Let j be ((-4)/9)/((-1)/3). What is the closest to m in y, j, -2/7? j Let i = -428 - -428.4. What is the nearest to -0.06 in 5, i, -2, 2? i Let w = -224 + 196.8. Let t = w - -26. Let j = t - -1.5. Which is the nearest to 0.1? (a) -4 (b) 4 (c) j c Suppose 17 = -4*f +...
{ "pile_set_name": "DM Mathematics" }
nd -0.0001186087 to five dps. -0.00012 Round -12740.387 to the nearest one hundred. -12700 Round -0.0102907 to 4 decimal places. -0.0103 Round -0.1404231 to 2 decimal places. -0.14 Round 0.013701937 to five decimal places. 0.0137 Round -0.018956757 to 5 dps. -0.01896 Round 248.97952 to the nearest 10. 250 Round -0.0000...
{ "pile_set_name": "DM Mathematics" }
the remainder when k is divided by 3. 0 Suppose -5*h - 5*s = 31 + 9, 0 = -4*h + 5*s - 41. Let p = h - -24. What is the remainder when p is divided by 6? 3 Suppose -2*n - 4*c = -158, 2*c = 9*n - 11*n + 150. What is the remainder when n is divided by 13? 6 Suppose 3*v = 462 + 759. Suppose 5*i = -20, 3*n + 3*i = -i + v. W...
{ "pile_set_name": "DM Mathematics" }
-4/3*o - 2/3*o**2 - 2/3 = 0. -1 Let w(d) = -10*d**4 - 20*d**3 + 14. Let h(b) = 2*b**4 + 4*b**3 - 3. Let f(q) = -14*h(q) - 3*w(q). Factor f(x). 2*x**3*(x + 2) Let b(y) be the second derivative of 1/480*y**6 + 0*y**5 - y + 0 + 1/840*y**7 + 0*y**3 + y**2 + 0*y**4. Let a(f) be the first derivative of b(f). Factor a(h). h*...
{ "pile_set_name": "DM Mathematics" }
- 455*m**2 - 2 + 2. -815*m**2 Collect the terms in -375995*h + 188000*h + 187997*h. 2*h Collect the terms in 4611*y - 9222*y - 2*y**2 + 4611*y. -2*y**2 Collect the terms in 4*g**2 + 28*g**2 + 10*g**3 - 59*g**2 + 27*g**2. 10*g**3 Collect the terms in -3012*m + 1 - 1 - 21. -3012*m - 21 Collect the terms in -107*f - 51*f...
{ "pile_set_name": "DM Mathematics" }
rivative of -b**2*c*d**2 + 2*b**2*d**3 - 14*b*c*d**3 - 82*b*c*d**2 + b*d**3 + 119*d**3 - 52*d**2 wrt d. 12*b**2 - 84*b*c + 6*b + 714 What is the second derivative of -1293948*u**4 + 219247*u + 4? -15527376*u**2 Find the first derivative of -538666*h**2 - 242397. -1077332*h What is the first derivative of -113476*z**2 -...
{ "pile_set_name": "DM Mathematics" }
.7025 rounded to 2 dps? 0.7 Round 1390000 to the nearest one million. 1000000 What is -0.03098 rounded to 3 dps? -0.031 What is 196400 rounded to the nearest 10000? 200000 Round -7583.3 to the nearest 100. -7600 What is -0.04768 rounded to two dps? -0.05 Round -0.009696 to four decimal places. -0.0097 Round -0.0000158 ...
{ "pile_set_name": "DM Mathematics" }
+ 13. Suppose 0 = -t + 19 - 26. Is 15 a factor of p(t)? False Let c = 7 + 207. Let z = -6 + c. Does 26 divide z? True Suppose -4*g + 180 = -4*s, -2*g - 2*s = -58 - 48. Suppose -j + 5 = -0, 2*i + g = -3*j. Let v = i + 55. Is v a multiple of 9? False Let c(j) = j**3 - j - 2. Let i be c(2). Suppose 3*d = 2*p + 122, -3*d +...
{ "pile_set_name": "DM Mathematics" }
+ 6 - 1 - 9*n**2 - 3 to s*n**2 + f + y*n and give s. -9 Rearrange -16*o - 39*o + 1 - 1 to t + w*o and give w. -55 Rearrange (-2*m - 2*m**2 + 2*m)*(-21 - 30 + 11) to the form u + q*m + n*m**2 and give n. 80 Express -2*a + 4*a - a + (-4 + 4 - 2)*(1 - 1 - a) + 3*a - 1 + 8*a - 7*a as z + k*a and give z. -1 Rearrange -33*z...
{ "pile_set_name": "DM Mathematics" }
econd derivative of 0*f - 3*f + 0*f - 4*f**3 + f**r wrt f. -18*f Suppose -k + 2 = -3. Find the third derivative of f**5 + 0*f**5 + 3*f**2 + 2*f**k wrt f. 180*f**2 Let p(c) be the third derivative of c**9/3780 + c**7/630 + c**4/12 + 3*c**2. Let g(i) be the second derivative of p(i). Find the third derivative of g(t) wrt...
{ "pile_set_name": "DM Mathematics" }
he third derivative of z(j). Give i(d(b)). 108*b Let i(s) = -13*s - 2. Let h = 505 - 383. Let g(n) = -6*n**2 + h - 62 - 60. Give i(g(u)). 78*u**2 - 2 Let r(m) = -41319*m + 2 + 41317*m - 2. Let q(y) = 352*y**2. Give q(r(a)). 1408*a**2 Let t(j) be the second derivative of -j**3 + j. Let p(i) be the second derivative of -...
{ "pile_set_name": "DM Mathematics" }
e prob of sequence dcf. 3/286 Four letters picked without replacement from mmmmmnmmnnmmnmnnmmn. Give prob of sequence mnmm. 385/3876 Two letters picked without replacement from vfvfyfsssvvyvvvvvywv. What is prob of sequence yv? 3/38 What is prob of sequence gfjk when four letters picked without replacement from {k: 4, ...
{ "pile_set_name": "DM Mathematics" }
= t*w(s) - r(s). Determine i(2). -3 Let h be 0/((-3 - -4) + -3)*1. Let g(z) = -4*z**2 + 114*z**3 - 50*z**3 + z + 1 - 63*z**3 + 4*z**2. Calculate g(h). 1 Let v(w) = -w**2 - 2*w. Let d(g) = -g**3 - 11*g**2 - 13*g - 5. Let r(b) = -d(b) + 6*v(b). Suppose -7*o = 32 + 3. Determine r(o). 0 Let x(m) = m**2 + 2*m + 1. Let z(b)...
{ "pile_set_name": "DM Mathematics" }
e ((-2)/9)/(1298/(-99) + 13). Solve -2*u = -4*u - q for u. -1 Let t(v) = v**3 - 5*v**2 + 5*v + 1. Let c be t(4). Let j(i) = 2*i - 10. Let f be j(9). Suppose 0 = -3*m + f - 2. Solve m*z = c*z - 12 for z. 4 Suppose 10 = -5*g + 305. Let d = g + -47. Solve -2*m = m - d for m. 4 Suppose q - 32 = -3*q - 3*u, 12 = 3*u. Solve ...
{ "pile_set_name": "DM Mathematics" }
5*p**2 + 84*p + 7. Let m be f(28). Solve -h - v = 1, 3*h + 17 = m*h - 3*v for h. 2 Let y(s) = -14*s - 109. Let b be y(-19). Let i = b + -155. Solve a = -a - 6, -2*a - 4 = i*z for z. 1 Let f = -30 + 33. Let z = 12 - 12. Suppose -n + 10 - 8 = z. Solve a - f*g = -n*a + 3, 5*a = 2*g + 17 for a. 5 Suppose -b + 2 = h, 3*b - ...
{ "pile_set_name": "DM Mathematics" }
for g. 3 Let a = 1557 + -1554. Solve 4*r + a*o + 2 = 30, -r - o + 8 = 0 for r. 4 Suppose -73*p = -69*p - 112. Suppose -p + 33 = j. Solve x = -x + h - 7, 0 = -j*x - h - 21 for x. -4 Suppose 139 - 7 = 22*l. Solve 15 = p - 4*d, -d - l = 8*p - 6*p for p. -1 Suppose -6*d + d = 4*b, 4*b = -4*d. Solve 4*l - m - 12 = 0, -2*l ...
{ "pile_set_name": "DM Mathematics" }
4 Let y = -33 + 40. Suppose f = -3*f - 5*c + 27, 2*f - 4*c + 6 = 0. Solve -5*m = 4*r + y, -5 = 3*r + f*m + 1 for r. -3 Suppose -8*w + 3*w + 4 = 4*r, 2*r + 2*w = 2. Let u be (7/2 - 2)*14. Suppose -2*i = -3*i + u. Solve -4*l - i = 5*g, -3*l - r - 6 = -5*g for l. -4 Let l(q) = 2*q - 5. Let u be l(4). Let g(i) = 3*i + 1. ...
{ "pile_set_name": "DM Mathematics" }
What is the tens digit of 1993? 9 What is the hundreds digit of 82098? 0 What is the units digit of 1768? 8 What is the hundreds digit of 183? 1 What is the hundreds digit of 9012? 0 What is the tens digit of 2627? 2 What is the tens digit of 12882? 8 What is the tens digit of 46406? 0 What is the tens digit of 5734? ...
{ "pile_set_name": "DM Mathematics" }
p - 16 = 0. -4, -1 Let n**5 - 4*n**3 = 0. What is n? -2, 0, 2 Let -2*m**2/9 - 16*m/3 = 0. What is m? -24, 0 Find d such that d**5 + 7*d**4/2 - 3*d**3/2 - 17*d**2/2 + 5*d/2 + 3 = 0. -3, -2, -1/2, 1 Factor -3*a**2/4 - 9*a/2 + 561/4. -3*(a - 11)*(a + 17)/4 Let -7*b**5/2 + 47*b**4/2 + 21*b**3/2 - 47*b**2/2 - 7*b = 0. Calcu...
{ "pile_set_name": "DM Mathematics" }
-168*m Let q(y) be the second derivative of y**10/10080 + y**6/240 + y**4/12 + 3*y. Let p(s) be the third derivative of q(s). Find the second derivative of p(u) wrt u. 60*u**3 Let a(i) be the second derivative of -2*i**6 - 7*i**3/6 - 5*i**2/2 - 14*i. What is the second derivative of a(q) wrt q? -720*q**2 Let n(k) = -16...
{ "pile_set_name": "DM Mathematics" }
4:06 AM? 11:45 AM How many minutes are there between 5:13 AM and 10:05 AM? 292 How many minutes are there between 12:37 AM and 11:18 AM? 641 What is 173 minutes before 11:06 PM? 8:13 PM What is 691 minutes after 10:03 AM? 9:34 PM How many minutes are there between 3:14 PM and 2:54 AM? 700 How many minutes are there be...
{ "pile_set_name": "DM Mathematics" }
from memmmmmmmem. 1/55 Three letters picked without replacement from ppnpppppnp. Give prob of picking 1 n and 2 p. 7/15 Three letters picked without replacement from pgpxccdpppgrrppx. What is prob of picking 1 x and 2 g? 1/280 Three letters picked without replacement from nhhhsndsshdsnsnsr. What is prob of picking 1 r ...
{ "pile_set_name": "DM Mathematics" }
Convert 1234 (base 6) to base 7. 622 What is 288 (base 15) in base 5? 4303 1030 (base 9) to base 4 23310 What is -2547 (base 10) in base 3? -10111100 12311 (base 4) to base 14 233 Convert -65b (base 14) to base 2. -10011101001 What is -125 (base 12) in base 2? -10101101 -382 (base 16) to base 13 -541 What is -84b (bas...
{ "pile_set_name": "DM Mathematics" }
212. Suppose -2*j - 3*j + q = 4*c, 4*j + 4*c = 1724. Suppose -2*b + j = 97. Is 24 a factor of b? True Suppose 22*h - 18*h = -k + 7736, 0 = h + 3. Is k a multiple of 298? True Let y(s) = -3 + 4 - 4 - 15 + 3*s. Let r be y(7). Suppose f = -r*x + 6*x - 89, x + 3*f - 33 = 0. Is 10 a factor of x? True Suppose -822804 - 14680...
{ "pile_set_name": "DM Mathematics" }
+ 1 = g for n. -4 Let c(t) be the third derivative of -t**4/24 - 3*t**2. Let o be c(-10). Solve 3*j - o = -4 for j. 2 Suppose 4 = 3*k - 2. Solve -k*j + j - 5 = 0 for j. -5 Suppose 5*z + 5 = 5*s, -5*z - 3*s + 2 + 1 = 0. Solve 0 = -2*l - z - 2 for l. -1 Let m(d) = d**3 - 6*d**2 - 11*d + 9. Let v be m(7). Let c = -9 - v....
{ "pile_set_name": "DM Mathematics" }
16 = -o. What is the least common multiple of y and 3? 24 Suppose 0 = -17*l + 13*l + 8. Suppose -x + 78 = 4*v + x, -4*x = 2*v - 24. Suppose 0 = -2*m + m + v. Calculate the lowest common multiple of m and l. 22 Let u = 321 + -223. Suppose -5*m - 385 = -3*g, 2*m + 185 = 2*g - 7*g. What is the lowest common multiple of u...
{ "pile_set_name": "DM Mathematics" }
*n**2 + 53421856*n**2. -3*n**2 Collect the terms in -13416*z - 13378*z - 13455*z - 13471*z + 53935*z. 215*z Collect the terms in 924*p**2 - 145 - 137 + 562 - 140 - 730*p**2 - 140. 194*p**2 Collect the terms in -22354*p**3 + 128*p**2 - 67*p**2 - 61*p**2. -22354*p**3 Collect the terms in 1851*d**3 - 9136*d**3 + 5611*d**3...
{ "pile_set_name": "DM Mathematics" }
46 Calculate the remainder when 15214 is divided by 12. 10 Calculate the remainder when 557 is divided by 26. 11 Calculate the remainder when 106317 is divided by 106. 105 What is the remainder when 858 is divided by 224? 186 What is the remainder when 48 is divided by 8? 0 Calculate the remainder when 222 is divided b...
{ "pile_set_name": "DM Mathematics" }
prime factors of 150/1 - (-9 + i)? 5, 29 Let p(l) = -2*l - 6. Let u be p(-5). Suppose -3*v + 40 = 17*v. List the prime factors of 10*4/u*v. 2, 5 Let a = -7206 + 10321. List the prime factors of a. 5, 7, 89 Suppose -3 = z - b - 13, 2*b = 4*z - 30. Suppose -4*j - 6*l = -2*l - 20, 3*j = z*l + 7. List the prime factors of ...
{ "pile_set_name": "DM Mathematics" }
4 Expand (-3*s**4 + 0*s**4 + s**4)*(-2 + 3 + 0) + 2 - s**4 - 2 - 1390*s**4 - 43580*s + 43580*s - 1 + 1 + 2*s**4. -1391*s**4 Expand (0 + 3 + 2)*(-8471264 - 4432*d + 8471264). -22160*d Expand (-608106 + 608106 - 1832*p)*(3 - 3 + 2*p). -3664*p**2 Expand (2 + 0*m + 2*m + 8)*(2 - 4 + 0) - m + 0*m + 4*m + (m - m - 2*m)*(1 + ...
{ "pile_set_name": "DM Mathematics" }
9 divide 3*(-3 - f/9)? True Suppose 0 = -418*c + 433*c - 8250. Is c a multiple of 10? True Is ((-5320)/49)/(6/(-21)) a multiple of 38? True Let s(w) be the third derivative of -w**4/4 + w**3 - 5*w**2. Does 10 divide s(-6)? False Is 15/45 - (-879)/9 a multiple of 13? False Let n(v) = v + 3. Let s be n(-5). Let i = s + 6...
{ "pile_set_name": "DM Mathematics" }
22*t**2 + 4*t. -4314 What is the third derivative of -119*g**3*t*v**3 - 2*g**3*t*v**2 + 12*g**3*t + 3*g**2*v**6 - 2*t*v + v**2 wrt v? -714*g**3*t + 360*g**2*v**3 Find the second derivative of 3*l**4 - 120*l**3 + 8*l + 23. 36*l**2 - 720*l Differentiate 5*b*d**2*j**2 - 5*b*d + 9*b*j**2 - 2*j**2 + 7*j wrt d. 10*b*d*j**2 -...
{ "pile_set_name": "DM Mathematics" }
3441896*g/13 + 181440/13 = 0. -648, -35, 2/13, 1/6 Factor -5*x**3 - 1296730*x**2 - 84094882220*x - 2521679544600. -5*(x + 30)*(x + 129658)**2 Factor -b**4/4 + 23055*b**3/2 + 588336*b**2 + 20008337*b/2 + 226788993/4. -(b - 46161)*(b + 17)**3/4 Factor -3*o**3 + 31400874*o**2 - 82167813127620*o - 493008009197832. -3*(o -...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {k: 4, o: 3, t: 4, j: 3}? 18/1001 What is prob of picking 1 f and 1 c when two letters picked without replacement from ccobcofcfsccobf? 6/35 What is prob of picking 2 z and 2 l when four letters picked without replacement from zzllzzlz? 3/7 Three letters picked without replacemen...
{ "pile_set_name": "DM Mathematics" }
g*c + 10 = -0*c for c. -2 Let s = 16 - 12. Suppose -s*n = 3*q + n, -5*q = -3*n. Let v = -25 - -27. Solve o - v = -q for o. 2 Let i(o) = o**3 + 2*o**2 - 4*o + 12. Let h be i(0). Solve -6 + h = 2*k for k. 3 Let k be (-7 + (-200)/(-24))*6. Solve -9*d + k = -d for d. 1 Suppose -l + 5 = z, -l + 6 = -2*z + 31. Let v be (-22...
{ "pile_set_name": "DM Mathematics" }
tor of -25/776 and 54/283115. 219697240 Find the common denominator of 71/308902 and -135/2162314. 2162314 Find the common denominator of -37/78782488 and -17/14. 551477416 What is the common denominator of 35/108498 and -19/43550? 181734150 Calculate the lowest common multiple of 22171296 and 2184. 288226848 What is t...
{ "pile_set_name": "DM Mathematics" }
- (sqrt(99) + 0) - (-3 + sqrt(176)*-2)))*1. sqrt(11) + 8 Simplify sqrt(847) - 5*(-1*sqrt(847))**2 - (-3 + 2 + sqrt(847)) - ((sqrt(77) - (sqrt(77) + (-1*sqrt(77) - sqrt(77) - sqrt(77))))*4)/(sqrt(88)/(sqrt(8)*2)). -4234 - 24*sqrt(7) Simplify -4*(4*-3*(sqrt(297) + sqrt(297)*2 + sqrt(297)))/((sqrt(176) + sqrt(176) + 2*sq...
{ "pile_set_name": "DM Mathematics" }