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lowest common multiple of 370 and 1110. 1110 Find the common denominator of -49/3420 and -15/4. 3420 Calculate the common denominator of 79/1800 and -89/450. 1800 Find the common denominator of 11/610 and -139/12. 3660 What is the smallest common multiple of 5888 and 512? 11776 What is the lowest common multiple of 40...
{ "pile_set_name": "DM Mathematics" }
- 12 = -4. What is the units digit of h? 6 Suppose a + 4 = -5*p + 3, -2*p = 4. Let u be 2/a + (-4)/18. Suppose 4*w + 6*c - 56 = c, u = 2*w - 2*c - 10. What is the units digit of w? 9 Let l(q) = q**2 - 2. Let c be l(2). What is the units digit of c/(-4)*-12*3? 8 Let c be 14/4 - (-9)/(-6). Suppose 0 = 5*l - c*i - 5, l +...
{ "pile_set_name": "DM Mathematics" }
ue Suppose 12*u + 490 = 14*u. Is 33 a factor of (1/(-5)*-6)/(2/u)? False Suppose -4*z = -4*k - 36, 0 = -0*k + 2*k + 10. Suppose -z*u + 355 = -433. Is 33 a factor of u? False Let b = 5 - 3. Let j be (-1)/((b/(-3))/2). Let c = 22 - j. Does 6 divide c? False Suppose -8 = -2*x, 4*u - 404 = -0*u - x. Is u a multiple of 6? F...
{ "pile_set_name": "DM Mathematics" }
= -f. Let p = c - -4. Give h(p). 5 Let j(h) = -3*h + 2. Suppose -13 = -4*f - 1. Suppose 15 = -f*t + 6*t. Determine j(t). -13 Let y(o) = -o**2 + 2*o - 2. Suppose 25*l - 4 = 24*l. Suppose 0*g + 2*g - l = 0. What is y(g)? -2 Let i(x) = -31415*x + 3*x**3 + 31414*x + 4*x**2 + 7 - 2*x**3 - 14*x**2. Calculate i(10). -3 Suppo...
{ "pile_set_name": "DM Mathematics" }
et m(h) = -h**2 + 5*h - 3. Let g be 9 + -10 + 1 + 0. Suppose g = 3*q + 3*z - 3, 0 = -2*z - 2*z - 4. Calculate m(q). 3 Suppose 0 = -4*a + a + 18. Let p be 1/(a/7 - 1). Let c be (-5)/(-3)*(4 + p). Let t(b) = b**3 + 6*b**2 + 4*b - 1. Determine t(c). 4 Let c(j) be the second derivative of j**5/20 - j**4/3 - j**3/6 + j**2/2...
{ "pile_set_name": "DM Mathematics" }
= 877*v**2. Let w(o) = 53*o**2. What is w(s(m))? 40763837*m**4 Let x(s) be the first derivative of -s**2/2 - 2. Suppose f - 4*r = 14, -4*f + 4*r - r = -17. Let t(c) = 3*c - c - 2*c + 11*c**f. Determine x(t(d)). -11*d**2 Suppose 0 = -5*z + 4*v + 25, 5*z - 25 = -v - 2*v. Let m = -2 + z. Let p(b) = 4 - b - m - 1. Let i(u...
{ "pile_set_name": "DM Mathematics" }
ator of c and (-60)/8*-7 - 4. 8 Suppose -14 = 3*q - 5*s, -3*q + 3*s + 0*s - 6 = 0. Suppose -q*v - 4*a = -80, -2*v + 5*a = a - 40. Calculate the common denominator of (3/4)/(v/(-25)) and 3/5. 40 Let q = 22883/9 + -2535. Find the common denominator of q and 130/(-8) - 2/1. 36 Let l be (-27)/(-45) - 4082/6870. Let g = l -...
{ "pile_set_name": "DM Mathematics" }
256*c wrt c? 114*c + 66 Find the third derivative of 82*m**2 - 1 - 182*m**2 - 165*m**2 - 18*m**3 + 18*m**3 - 475*m**4 wrt m. -11400*m Let v(b) = 138*b - 18. Let k(n) = 2 - 2*n + 0*n + 5*n - 5*n. Let m(q) = -8*k(q) - v(q). What is the first derivative of m(x) wrt x? -122 Let o(v) be the first derivative of -827*v**4/4 -...
{ "pile_set_name": "DM Mathematics" }
+ 0*r**3)*(1248*r - 2109*r - 2 - 2227*r) to d*r**3 + l*r + p + f*r**4 + y*r**2 and give d. -4 Rearrange 2*w**3 + 17*w**4 + 9*w**4 + 16*w**4 + 133*w**2 - 44*w**4 + 0*w**3 to the form n*w**3 + r*w + k*w**2 + s + l*w**4 and give n. 2 Rearrange (2 - 2*f - 2)*(-77*f**2 + 30*f**2 - 55*f**2)*(-3 + 15 + 0) + (-3*f**2 - f**2 +...
{ "pile_set_name": "DM Mathematics" }
nearest to 1 in -0.4, -366/7, 5? -0.4 Which is the nearest to 0.03? (a) -683 (b) -86 (c) -0.2 c Which is the closest to -0.7? (a) -4/5 (b) 1/7 (c) -765 (d) -29 a What is the closest to 303 in 7, 0, -3/2? 7 What is the nearest to -2 in 133, 16, -4, 2, -2? -2 What is the closest to 15 in 0.56, -2/9, 9? 9 What is t...
{ "pile_set_name": "DM Mathematics" }
38*w**2 - 3*w. Let l(x) = -48*x**2 + 3*x + 1. Let q(m) = 5*d(m) + 4*l(m). Give q(3). -23 Suppose 3*l = 4*l + 2*z - 10, -3*l - 3*z = -18. Let p(a) be the third derivative of 0*a + 0*a**3 - 1/15*a**5 + 0 + 9*a**2 + 1/8*a**4. What is p(l)? -10 Let w(y) = -1 + 2396*y - 10 + 0 - 2390*y. Give w(3). 7 Let w(r) be the third d...
{ "pile_set_name": "DM Mathematics" }
55*h - 3. Let s be z(-2). Suppose 6*v - 255 = s. Is v a prime number? True Let j(t) = 3 - 8*t + 8*t - t**2. Let u be j(0). Suppose 545 = 2*g - u*o, 2*g = 2*o + 2*o + 550. Is g a prime number? False Suppose -425443 = -2*b - 3*n, -3*b + 2*b - 3*n + 212720 = 0. Is b prime? False Suppose 4*t - 2*j = -t - 1682, -998 = 3*t -...
{ "pile_set_name": "DM Mathematics" }
t g be j(-9). What is the first derivative of -2*h**2 + h**g + 0 + 4 + 3*h**2 wrt h? 4*h Let f(b) = 42*b**3 - 6*b**2 - 8*b. Let j(h) = h**3 + h**2. Let x(p) = f(p) + 3*j(p). What is the third derivative of x(t) wrt t? 270 Let z(b) = b**3 + b**2 - b + 1. Let x(s) = s**3 - 6*s**2 + 2*s - 2. Let y(j) = -3*x(j) - 6*z(j). F...
{ "pile_set_name": "DM Mathematics" }
*1)**(2/169) assuming y is positive. y**(970/1183) Simplify (i/(i**1*i))**(2/5)*(i**(1/2))**(-3/13)*(i**11*((i**(-5)*i)/i)/i)**(-2/179) assuming i is positive. i**(-13293/23270) Simplify (i**7/(i*i**1)*i**(-1/3)*i*i*(i**0*i)/i*i*i)/(i**4*i**7*(((i**(-2/9)/i)/i*i)/i)**23) assuming i is positive. i**(439/9) Simplify ((z/...
{ "pile_set_name": "DM Mathematics" }
t n = -5 - -9. Put n, 3, 0.3 in ascending order. 0.3, 3, n Let y be (-3)/((9/(-4))/3). Sort -12, 3, y in increasing order. -12, 3, y Let q be (-3)/3 + 11/1. Suppose 3*j + i + q = 0, -2*j + 0 = -3*i - 8. Sort j, 5, 4 in descending order. 5, 4, j Let g = -0.511 - -0.011. Put g, 4/7, -2/3 in increasing order. -2/3, g, 4/7...
{ "pile_set_name": "DM Mathematics" }
) -2 (b) -0.004 (c) -40946 b What is the fifth biggest value in -1/2, 0.4, -57, -1, -665.21? -665.21 Which is the sixth smallest value? (a) 1/2 (b) 3/7 (c) 5/2 (d) -1/3 (e) 28/5 (f) 9.78 f What is the smallest value in -4183.253, -3, 1/8? -4183.253 What is the third smallest value in 118.1, -5, 10, -15/7, -1? -...
{ "pile_set_name": "DM Mathematics" }
9.96757 - 0.06757. Round f to the nearest 10. 310 Let p = -4109570.671 + 4112109. Let h = -2537 + p. Round h to 1 dp. 1.3 Let h = 238.0427 - 0.0427. Let g = h + -238.0538. What is g rounded to 2 dps? -0.05 Suppose -10 = -1001*x + 996*x. Suppose -x*h - 3875995 = -b, -3*h + 3*b - 6*b = 5814015. What is h rounded to the n...
{ "pile_set_name": "DM Mathematics" }
24, -174 Sort -938, -1/4, 4/19, -6 in increasing order. -938, -6, -1/4, 4/19 Put -0.216, 1600, 0.4 in descending order. 1600, 0.4, -0.216 Sort 4/71, 2455, -2.1 in increasing order. -2.1, 4/71, 2455 Sort -2, 6, 1004, -5, 3 in increasing order. -5, -2, 3, 6, 1004 Sort 81, -0.06, -16774, 0 in increasing order. -16774, -0...
{ "pile_set_name": "DM Mathematics" }
te (17051/(-4248))/(-289)*-4. -1/18 What is 3/(-30)*36000/226800? -1/63 Evaluate -21*56/1372*(-9)/(108/(-4)). -2/7 What is the value of 40/50*-30*6/3384? -2/47 (1155/(-42))/(((-2)/(-5))/((-128)/(-160))) -55 What is ((5/15)/((-4)/(-15)))/(125*18/17100)? 19/2 What is the value of ((-9)/(-18))/(7/(-35))*((-384)/(-8))/(-8)...
{ "pile_set_name": "DM Mathematics" }
z be l(4). Let b = 0 + z. Calculate the remainder when b is divided by 9. 8 Let t(z) be the second derivative of -z**5/20 + z**4 + 17*z**3/6 - 15*z**2/2 - 2*z. Calculate the remainder when 109 is divided by t(13). 35 Let q be 2/7 - 80/(-14). Let k be 1/3 + 4/q. Suppose k + 12 = u. Calculate the remainder when u is div...
{ "pile_set_name": "DM Mathematics" }
base 9, what is 86 + -4262? -4165 In base 13, what is 307cc + -31a? 304b2 In base 15, what is -13 + 1385c0? 1385ac In base 7, what is 11353 - 201515? -160132 In base 9, what is -1081015 - 31? -1081046 In base 13, what is -8462 - -33? -842c In base 16, what is 13d054 + -4? 13d050 In base 14, what is bbc0381 - 4? bbc037b...
{ "pile_set_name": "DM Mathematics" }
factor of 172459 and 2082. 347 Calculate the greatest common factor of 767 and 1833. 13 What is the highest common factor of 39 and 3659903? 13 Calculate the greatest common factor of 251686 and 1342. 122 What is the greatest common divisor of 1480688 and 704? 176 Calculate the highest common divisor of 490568 and 356...
{ "pile_set_name": "DM Mathematics" }
u(-6)? -5 Let k(j) = -8*j**2 + 6*j + 31. Let u(y) = y**2 - 5. Let x(c) = k(c) + 6*u(c). Determine x(0). 1 Let v(q) = 8*q**2 - 1821*q + 3646. Let o be v(2). Let z(g) = g**3 - 37*g**2 + 37*g - 52. Determine z(o). -16 Let f(a) = 2*a - 10. Let m = -113 - -92. Let p be m*1/(-3)*(-1 - -2). Determine f(p). 4 Let v(p) = p**2 ...
{ "pile_set_name": "DM Mathematics" }
rt(5040) + 2*sqrt(5040)) - sqrt(5040)))/((-1*sqrt(7920))/sqrt(11))*-3)**2. 20412 Simplify ((sqrt(65) + 1*sqrt(65))*6 - (sqrt(65) - ((sqrt(65) + sqrt(65)*1)*3 + sqrt(65) - sqrt(65))))/(-1*(sqrt(5)*-3 + sqrt(5))*5). 17*sqrt(13)/10 Simplify ((-3*-1*sqrt(704) + sqrt(704) - 4*2*sqrt(704))*3 + -4)**2. 768*sqrt(11) + 101392 S...
{ "pile_set_name": "DM Mathematics" }
q*j for d. -5 Let n(m) = -m - 2. Suppose 0 = 3*y - 6*y + 24. Let g be n(y). Let s be (-2 + 12)*(-5)/g. Solve -s*u + 3*q - q = 16, 2*q = -u + 4 for u. -2 Suppose 149 + 71 = 4*j. Let m = j - 26. Suppose -2*h - m = -5*i, -3*i = -h - 2*h - 21. Solve -i*v = -t + 6 + 10, 3*t = -4*v - 28 for v. -4 Suppose 44*r = 8*r + 108. S...
{ "pile_set_name": "DM Mathematics" }
nd 1988. 14 Calculate the highest common factor of 81 and 1395. 9 Calculate the greatest common divisor of 138 and 139242. 138 Calculate the highest common divisor of 831 and 762581. 277 What is the highest common factor of 961095 and 255? 255 What is the greatest common divisor of 4 and 81938? 2 What is the highest co...
{ "pile_set_name": "DM Mathematics" }
. -9.3 What is 405917900 rounded to the nearest 100000? 405900000 Round -4.755202 to two decimal places. -4.76 Round -388624200 to the nearest 100000. -388600000 Round 0.0004532837 to 5 dps. 0.00045 What is -6791081 rounded to the nearest one hundred thousand? -6800000 Round -1787.354 to the nearest 100. -1800 What is ...
{ "pile_set_name": "DM Mathematics" }
15 = 5*n + 3*o - 8, 0 = -5*n - 2*o + 22 for n. 4 Solve 0 = 3*j + f + 3 + 2, 0 = -3*j - 2*f - 1 for j. -3 Solve -l - 3*m = l + 2, -2*l = -m - 14 for l. 5 Solve 4*h + 4*x + 16 = 0, -x = -10*h + 13*h + 14 for h. -5 Solve -4*o - 2*s = 18, 0 = 4*o - 2*s + 7*s + 21 for o. -4 Solve 0 = -2*l + 6, 79*l - 75*l = -5*t + 27 for t...
{ "pile_set_name": "DM Mathematics" }
x be 4/y*15*(-2)/(-4). Let n(i) = 2*i**3 - 5*i**2 + 5*i - 5. Give x*p(c) + n(c). 7*c**3 Let c(w) = 4*w - 23. Let u be c(5). Let x(i) = -24*i + 4. Let q(a) = 25*a - 5. What is u*x(p) - 2*q(p)? 22*p - 2 Suppose -2*b - 18 + 42 = 0. Let s(w) = 25*w - b*w - 14*w. Let y(n) be the second derivative of n**4/3 + 5*n**3/6 + n**...
{ "pile_set_name": "DM Mathematics" }
*m**3 + 0*m**3 + 38 + 4*m**3 + m - m**2. Calculate the remainder when q(0) is divided by 20. 18 Let t be (1 - 2) + 1*5. Suppose -7 = t*w - 35. What is the remainder when (-6)/(-21) + 243/w is divided by 12? 11 Let t(n) = n**3 - 10*n**2 + 11*n + 1. Let u be (6/9)/(2/27). Calculate the remainder when 37 is divided by t(u...
{ "pile_set_name": "DM Mathematics" }
u = 831 + -794. Suppose 95*z = u*z + 13224. List the prime factors of z. 2, 3, 19 Let n(b) = -3*b**3 - 19*b**2 - 5*b - 20 + 5*b + 8*b + 4*b**3. List the prime factors of n(19). 2, 3, 11 Suppose -16*c - 3490 = -5*m - 20*c, -5*c + 2783 = 4*m. Suppose -2*h + m = 48. What are the prime factors of h? 3, 109 Let h = -10910 ...
{ "pile_set_name": "DM Mathematics" }
+ 49864500 Simplify -1*(4*sqrt(77)*2*-2)/((sqrt(88)*-2*-3 + sqrt(88))/sqrt(8)). 16*sqrt(7)/7 Simplify 5 + (-3 + ((2*sqrt(243)*-1 - sqrt(243)) + 1 - (-1 + (sqrt(243) - (-1 + sqrt(243))) + sqrt(243) + sqrt(243) + 0 + 1*sqrt(243))))**2 + -2. 216*sqrt(3) + 8755 Simplify ((sqrt(260) + -2*sqrt(260)*-4 - sqrt(260))/(-4*sqrt(...
{ "pile_set_name": "DM Mathematics" }
*c + 65. Let y be j(-20). Suppose 4*d + m - 1771 = 0, y*d + 5*m - 2762 = -537. What is the hundreds digit of d? 4 Suppose 0 = 4*i + 5*q - 32490, i + 3*q = 10176 - 2043. What is the units digit of i? 5 Suppose -5*i = 4*c - 26, 5*c + 4*i - 16 = 3*c. Suppose -c*d = -5*b + 327, 103 + 89 = 3*b - d. What is the units digit o...
{ "pile_set_name": "DM Mathematics" }
Determine u(t(d)). -9*d**2 Let n(b) = 2*b**2 + 9. Let s(u) = -2*u. What is s(n(k))? -4*k**2 - 18 Let r(c) = 2*c**2 - c - 1. Let k be r(-1). Let h(o) = 0*o**k - 7*o**2 - 9*o**2 + 4*o**2. Let q(f) = -2*f**2. Calculate h(q(s)). -48*s**4 Let x(w) = -w**2. Suppose -4*t + 3*r = t - 25, 0 = -2*t - 3*r - 11. Let z(l) = -30*l ...
{ "pile_set_name": "DM Mathematics" }
156 - 157 = -316. Let y(b) be the first derivative of 7/24*b**4 + 13/9*b**n + 5/3*b - 43/12*b**2 + 41. Factor y(v). (v - 1)*(v + 5)*(7*v - 2)/6 Determine z so that 7625016/5*z + 296*z**3 - 4/5*z**4 - 183024/5*z**2 - 7443468/5 = 0. 1, 123 Factor -363*x**3 - 116/3 - 10571*x**2 - 3832/3*x. -(x + 29)*(33*x + 2)**2/3 Let f...
{ "pile_set_name": "DM Mathematics" }
0 = 0. What is m? -8, 0, 1/3, 1 Let u(t) be the second derivative of -3*t**5/20 + 822*t**4 - 1801824*t**3 + 1974799104*t**2 + 15704*t. Factor u(p). -3*(p - 1096)**3 Let -11552/5*w**3 - 3666/5*w + 9424*w**2 + 72/5 = 0. Calculate w. 3/76, 4 Suppose 0*r - 1/5*r**5 - 18/5*r**2 + 0 - 6*r**3 + 23/10*r**4 = 0. What is r? -1/2...
{ "pile_set_name": "DM Mathematics" }
five sixths of a millennium in months? 10000 Convert 13223.2527 minutes to weeks. 1.311830625 How many minutes are there in 4/7 of a week? 5760 How many millilitres are there in twenty-six fifths of a litre? 5200 How many centimeters are there in one quarter of a kilometer? 25000 Convert 7751.543um to kilometers. 0.000...
{ "pile_set_name": "DM Mathematics" }
z)? 1 Let w = 820 - 514. What is the units digit of w? 6 What is the tens digit of 472/20 + (-4)/(-10)? 2 Suppose 4*f = -3*b + 112, -f + 148 = 4*b + 4*f. Let p = 0 + b. What is the units digit of p? 2 What is the tens digit of (29/(-2))/(1/(-2))? 2 Let y(b) = -b**3 - 5*b**2 + 7*b + 8. Let p be y(-6). What is the units ...
{ "pile_set_name": "DM Mathematics" }
2*j**2 - 12*d**2*j - 92*j**2 wrt d? 12*j**2 - 18*j + 12912 What is the third derivative of f**3*w**2 - 45178*f**3 + 22*f**2 - 1577*f*w**2 - 2*f*w - 1 wrt f? 6*w**2 - 271068 What is the second derivative of -d**3*k**2 + 25*d**3*k - 381*d**2 + 2*d*k**2 + 10*d*k + 10796*k**2 wrt k? -2*d**3 + 4*d + 21592 What is the third ...
{ "pile_set_name": "DM Mathematics" }
8. 2, 3, 523 List the prime factors of 6651. 3, 739 List the prime factors of 21460. 2, 5, 29, 37 What are the prime factors of 5295? 3, 5, 353 What are the prime factors of 22402? 2, 23, 487 List the prime factors of 4673. 4673 List the prime factors of 2989. 7, 61 List the prime factors of 11826. 2, 3, 73 List the pr...
{ "pile_set_name": "DM Mathematics" }
c(o) be the second derivative of -o + 0*o**2 + 0 + 0*o**3 + n*o**4. Let i(s) = 2*s**2. What is c(i(t))? 8*t**4 Let m(w) = 505*w - 5. Let b(f) = -2*f. Calculate m(b(l)). -1010*l - 5 Let o(p) = 36*p**2. Let r(l) = 3*l**2. Calculate r(o(b)). 3888*b**4 Let l(u) be the third derivative of -u**4/8 - 2*u**2. Let r(y) = 2*y**...
{ "pile_set_name": "DM Mathematics" }
8147 composite? False Is 12149 composite? False Is 54959 prime? True Is 11467 a prime number? True Is 14741 a composite number? False Is 9953 a composite number? True Is 40151 composite? False Is 948971 composite? False Is 480477 a composite number? True Is 348487 a composite number? False Is 737 a composite number? Tr...
{ "pile_set_name": "DM Mathematics" }
k, t - 12 = -2*k + l*t for k. 2 Let u = 482 + -489. Let q be 1*3 - u*(-13)/91. Solve q*x - 2*g + 6 = -2*x, -x - 4*g = -3 for x. -1 Let d(v) = -v**3 - 50*v**2 - 404*v - 158. Let l be d(-40). Solve -2*g + 29 = 19, l*o = -5*g + 17 for o. -4 Let z = -134 - -136. Let k(m) = -3*m - 7. Let b be k(-4). Solve -z = -u + b*r, 10 ...
{ "pile_set_name": "DM Mathematics" }
+ 0*j + 10*j wrt j? -22 Let j(h) = h**3 + 6*h**2 - 17*h - 8. Let s be j(-8). Find the third derivative of -32*i**4 + s*i**2 + 17 - 8 - 3 + 3*i**2 wrt i. -768*i What is the second derivative of 156*y**2 + 3196*y - 1837*y + 11*y**3 - 1675*y - 648*y wrt y? 66*y + 312 Let l(v) be the second derivative of -303*v**5/5 + 3723...
{ "pile_set_name": "DM Mathematics" }
-13039 Put together -26683 and 21. -26662 What is -45 - -10? -35 2 - -6355 6357 What is -133 - 1123? -1256 What is 180 less than -0.112? -180.112 Add together 16.0131 and 1. 17.0131 Calculate 33 - -1581. 1614 What is the distance between 206 and -0.533? 206.533 Put together 16.1 and -0.5977. 15.5023 Subtract -2 from 0....
{ "pile_set_name": "DM Mathematics" }
3*c**4 - 33*c**2 + 33*c**2 + 6 + c to the form p*c**4 + d*c + o*c**2 + l*c**3 + s and give p. -3 Express 2*j - 2*j - 2*j**2 + (j - 2*j + 3*j)*(j - 5*j + j) + 2*j**2 + 0*j**2 + j**2 + j**2 - 5*j**2 + 2*j**2 in the form i*j + f + w*j**2 and give i. 0 Express -r**4 - r**2 + r + 7*r - 7*r + 5*r**3 + 3 as s*r + g*r**3 + t*r...
{ "pile_set_name": "DM Mathematics" }
of -t**6/120 + t**5/60 + t**4/24 - t**3/6 + 5*t**2. Let j be b(0). Is -3/8 less than or equal to j? False Let d = -80/1419 - 2/473. Which is smaller: d or 1? d Let b(l) = l**3 + 20*l**2 + l - 4. Let c be b(-20). Which is smaller: c or 1/4? c Suppose 8*q - 24 = 4*q. Is q greater than or equal to 5? True Let p = 1 + -1/...
{ "pile_set_name": "DM Mathematics" }
(c) -2 c What is the nearest to -9 in -0.4, -1, 56/25, -3/7? -1 What is the closest to 0.05 in 2/33, 1.1, 2/7, 0.041, -0.2? 0.041 Which is the nearest to -16? (a) -5/4 (b) -2 (c) -0.3 (d) 17/7 b What is the nearest to 2/5 in -0.1, -2.19, 1/6? 1/6 Which is the closest to -4? (a) 13858 (b) 19 (c) 0 c Which is th...
{ "pile_set_name": "DM Mathematics" }
thout replacement from {v: 10, p: 9}. 35/646 Three letters picked without replacement from jjsjjsjj. Give prob of sequence jsj. 5/28 Two letters picked without replacement from wwwwwwwwwwjww. Give prob of sequence ww. 11/13 Two letters picked without replacement from vvaavvvvvaaaval. What is prob of sequence lv? 4/105 ...
{ "pile_set_name": "DM Mathematics" }
151495? 56 Calculate the remainder when 4102942 is divided by 1624. 718 Calculate the remainder when 613371 is divided by 1809. 120 What is the remainder when 4170813 is divided by 32083? 23 Calculate the remainder when 79264 is divided by 39257. 750 Calculate the remainder when 737551 is divided by 1621. 1617 What is ...
{ "pile_set_name": "DM Mathematics" }
est to 1/2 in -2, -0.5, c? -0.5 Suppose 3*t - 13 = 8*t - 2*v, 4*v = -4. Which is the nearest to 0.1? (a) 0.2 (b) 1/4 (c) t a Suppose 7*w - 2*w = 5*h, -2*w + 3 = -h. Suppose -z + w = -0. Let v be 4/(-2) - -2 - 3. What is the nearest to v in -2, 2/3, z? -2 Suppose -2*o + r + 5 = 0, -5*r + r - 9 = 3*o. Let f be (0 - o)...
{ "pile_set_name": "DM Mathematics" }
/2) Simplify (a*a*a**(-20))/a**(4/23) assuming a is positive. a**(-418/23) Simplify (j*j*j*j**(-6)/j)/j**(2/9) assuming j is positive. j**(-38/9) Simplify (z*(z*z**(-3/7))/z*z*z*z*(z*z*z**(-8)*z*z)/z)/(z**(6/11)/(z*z**(1/5))) assuming z is positive. z**(-298/385) Simplify (v*v*v*v**0)**(-1/10)*(v**0)**(-10/9) assuming ...
{ "pile_set_name": "DM Mathematics" }
pose -2*g = -u + 3, 6 = -4*u + 3*g + 23. Sort z, d, u in decreasing order. u, z, d Let q = -4.1 - 0.9. Suppose 2*f - 9 = -a, -5*f + 3*a + 24 = -4. Put q, f, 1 in decreasing order. f, 1, q Suppose -i + 3*f = i + 6, -5*i + 27 = 3*f. Let h(q) = -q + 2. Let x be h(5). Sort x, 1, i. x, 1, i Let g be (-1)/(-4) - 30/(-8). Let...
{ "pile_set_name": "DM Mathematics" }
Let c(h) = -347*h - 11093. Determine c(-32). 11 Let f(p) = -3*p**2 - 56*p - 334. Determine f(-9). -73 Let f(h) = -h**2 - 5*h - 54. Determine f(-13). -158 Let v(u) = 6*u**2 + 138*u - 47. What is v(-23)? -47 Let w(d) = 7*d - 9. Give w(2). 5 Let u(a) = a**2 - 42*a - 660. What is u(-12)? -12 Let v(y) = -2*y**2 - 1801*y + ...
{ "pile_set_name": "DM Mathematics" }
actor u(p). -2*(p - 3)*(p - 1)**2/7 Let m(p) be the second derivative of -p**8/560 + p**7/280 + p**6/24 + 3*p**5/40 - 31*p**3/6 + 22*p. Let r(y) be the second derivative of m(y). Factor r(q). -3*q*(q - 3)*(q + 1)**2 Let h be -7 + 2 + (-26)/(-2). Let p = h - 4. Find m such that -2/9*m**3 + 0 + 2/9*m**p - 2/9*m**2 + 2/9*...
{ "pile_set_name": "DM Mathematics" }
0.1855 - l. Let p = 0.895 - z. What is p rounded to the nearest ten? 60 Let u = 1430993.29394 - 1414671.6369553. Let q = 16333.657 - u. Let v = -12 + q. What is v rounded to 6 decimal places? 0.000015 Let k be 872238990/294 + (-15)/(-21). What is k rounded to the nearest 10000? 2970000 Let m = 247.6 + -269. Let h = 21...
{ "pile_set_name": "DM Mathematics" }
= 0, 5*r + q - 172 + 79 = -78 for r. -2 Solve -4*n = 4*l + 28, -15*n + 19*n = 4*l - 36 for n. -8 Solve -4*p + 51 = 3*a, -170*p + 169*p - a = -14 for p. 9 Solve 19*b = 2*j + 14*b + 41, b = -4*j + 17 for j. 2 Solve -3*c - 246 = 21*w - 39*w, 3*w = c + 43 for c. -4 Solve l = -236*s + 241*s + 5, -4*s + 5 = l for l. 5 Solve ...
{ "pile_set_name": "DM Mathematics" }
n denominator of 83/6 and (b/(-15))/((-2)/37)? 30 Let p(j) = 6*j - 2. Let r be p(8). Let m = -65/2 + r. What is the common denominator of m and -45/16? 16 Suppose 3*n + 2*n = 25. Suppose 0 = -3*d - n*c + 9 + 32, 0 = 3*d - 4*c - 86. What is the least common multiple of d and 8? 88 Let t = 125 - 95. Calculate the least c...
{ "pile_set_name": "DM Mathematics" }
se -17*a = -20*a, -5*d + 2*a - 205 = 0. Let r(b) = 4*b - 4. Let w be r(-3). Let h = w - d. List the prime factors of h. 5 Suppose -g - 46 = 2*g - 4*o, -43 = 3*g - o. Let d be 4/(-14) + 162/(-21). Let q = d - g. What are the prime factors of q? 2, 3 Suppose 5*q = 2*a + 6657, 0 = -2*a - 5 + 3. List the prime factors of q...
{ "pile_set_name": "DM Mathematics" }
ven that g(q) = 0. -9, -1, 1 Factor -4*c**5 - 32*c**3 - 33*c - 46*c**2 + 3*c**5 + 2*c**3 - 9*c**4 - 9. -(c + 1)**3*(c + 3)**2 Let z be 2/16*4*0. Let u(n) be the second derivative of 0 + 2*n + 1/80*n**5 - 1/168*n**7 + 0*n**3 + 0*n**2 + 0*n**6 + z*n**4. Factor u(v). -v**3*(v - 1)*(v + 1)/4 Solve 0 - 2/11*y**2 + 0*y = 0 f...
{ "pile_set_name": "DM Mathematics" }
actor of 203502445 and 1705? 155 What is the greatest common divisor of 702 and 19803446? 26 Calculate the highest common factor of 22594 and 36472878. 2054 Calculate the greatest common divisor of 2212 and 262280. 316 Calculate the highest common factor of 49310325 and 75. 75 What is the greatest common factor of 7265...
{ "pile_set_name": "DM Mathematics" }
order. -62, 0.4, 2, 20 Sort -3, -3/5, 3, -823, 2/5, -1/31. -823, -3, -3/5, -1/31, 2/5, 3 Sort -4, -129, -2, 4, -5, -3 in ascending order. -129, -5, -4, -3, -2, 4 Sort -3/2, 0.2, -301, 7, 1. -301, -3/2, 0.2, 1, 7 Put 4, -336.6, 0.17 in increasing order. -336.6, 0.17, 4 Sort -0.01, 0.06, -1, -68 in descending order. 0.06...
{ "pile_set_name": "DM Mathematics" }
-16/29575 not equal to 1? True Is 3480359 <= 10441073/3? False Which is greater: -42/11 or -6998? -42/11 Which is bigger: 0 or 573/886? 573/886 Is -13622 less than -4/7? True Which is bigger: -1557 or -23356/15? -1557 Which is greater: 391381 or 391380? 391381 Which is smaller: 266781 or 266780? 266780 Are 2989770 and...
{ "pile_set_name": "DM Mathematics" }
- -531. Let t be -4*(2 + 10/(-4)). Calculate the least common multiple of 6/9*3/t and o. 1 Let b = -12/7339 - -14084045/308238. Let s = b - 46. Find the common denominator of 87/2 and s. 42 Suppose 0 = 14*y - 22*y + 64. What is the lowest common multiple of 8 and (30/y)/(15/40)? 40 Suppose -2*d - 36 = 2*d + 3*m, 2*m + ...
{ "pile_set_name": "DM Mathematics" }
y = -6 - -8. Solve -15 = y*n + 2*h + h, -5*h - 25 = -o*n for n. 0 Suppose -3*t = h + 10, 7*t + 11 = h + 3*t. Let b = 1 + h. Suppose b = -4*a + 4 + 16. Solve -3*r = -p - 5, 2*r - 3 = 3*p + a*r for p. -2 Suppose 4*w = -w + 45. Suppose 0*s = -s + w. Solve 12 = -d - 3*l, 4*l = l - s for d. -3 Suppose 2*x + 4*x = 30. Solve...
{ "pile_set_name": "DM Mathematics" }
1 - 347*d**3 + 14940 - 4980 - 627*d**3 - 4979. -974*d**3 Collect the terms in -287 + 17*b**2 - 523*b**2 - 252 - 288 + 827. -506*b**2 Collect the terms in 19 - 21102*w - 21118*w + 63332*w - 21110*w. 2*w + 19 Collect the terms in -1697*v**3 - 3577*v**2 - 3578*v**2 - 590*v**3 + 7155*v**2. -2287*v**3 Collect the terms in 2...
{ "pile_set_name": "DM Mathematics" }
0.4545*0.0256. -0.0116352 Work out -91 * 30.9. -2811.9 Calculate 0.2*5694.3. 1138.86 5.7 times 7151 40760.7 Multiply -50.289 and -1. 50.289 Product of -61.456 and -10. 614.56 -0.4 * 1651 -660.4 Work out -5991 * 833. -4990503 Product of -1606 and 0. 0 Product of -383 and 109. -41747 -23788 times 0.07 -1665.16 -0.29593*-...
{ "pile_set_name": "DM Mathematics" }
. Calculate -10907*i(m) + 6*x(m). 1678*m Let b(p) = 2*p**3 - 4*p**2 - 4*p + 5. Suppose 2*q = 3 - 11. Let w(v) = -v + 0 - 6*v**2 + 0 + v**3 + 5*v**2 + 1. Calculate q*w(h) + b(h). -2*h**3 + 1 Let z(b) = b + 1. Let p be (-16)/(-6) - (-6)/(-9). Let u(k) = -3*k**p - 2 - k - k + 2*k**2. Suppose 111 = 4*q + 115. Determine q*u...
{ "pile_set_name": "DM Mathematics" }
-678 Sort -1, 3, 1, 51 in decreasing order. 51, 3, 1, -1 Put -3, 3, -7, -5, 2 in ascending order. -7, -5, -3, 2, 3 Put 0, 8, 1, -84 in decreasing order. 8, 1, 0, -84 Put 3, -3, 359 in descending order. 359, 3, -3 Put -47, -26, -2 in descending order. -2, -26, -47 Put 32, -7, -1 in descending order. 32, -1, -7 Put 2/7,...
{ "pile_set_name": "DM Mathematics" }
: 1, z: 1, h: 1}. Give prob of sequence hby. 1/60 Four letters picked without replacement from {q: 10, a: 7, v: 1}. What is prob of sequence vaaq? 7/1224 Calculate prob of sequence hf when two letters picked without replacement from {h: 4, v: 1, f: 3}. 3/14 What is prob of sequence gwuo when four letters picked without...
{ "pile_set_name": "DM Mathematics" }
s in 766*w**2 - 1845*w**2 + 1067*w**2. -12*w**2 Collect the terms in 15 + 10 + 55 + k. k + 80 Collect the terms in -9760 - 3*v + 17*v + v + 9750. 15*v - 10 Collect the terms in -18*h**2 - 22*h**2 - 23*h**3 - 4*h + 4*h + 43*h**2. -23*h**3 + 3*h**2 Collect the terms in -7589*d + 2468*d + 5 - 14 + 8. -5121*d - 1 Collect t...
{ "pile_set_name": "DM Mathematics" }
ltiple of 351 and q. 351 Suppose -4*f = -3*p + 31, -f + 17 = 3*p - p. Suppose 0 = 3*y - p - 21. Suppose -16*l + 18*l = 26. Calculate the least common multiple of l and y. 130 Let j be (2 + -2)/(3 + -6). Suppose 5*w - 5*o - 210 = j, o - 136 = -3*w - o. Calculate the least common multiple of w and 12. 132 Let m = -858207...
{ "pile_set_name": "DM Mathematics" }
71 Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {o: 4, f: 1, u: 3, m: 4, q: 7, l: 1}. 2/95 Calculate prob of picking 1 v and 1 i when two letters picked without replacement from biivvmiiil. 2/9 What is prob of picking 2 c when two letters picked without replacement from ccctccm...
{ "pile_set_name": "DM Mathematics" }
51)/7. Let x = 2/9 - -1/9. What is the closest to z in 1, 1/4, x? 1/4 Let l(k) = 9*k - 130. Let v be l(15). Which is the closest to -0.1? (a) 0 (b) -2/7 (c) v a Let c = -190 - -285. Let b = 569/6 - c. What is the nearest to -0.1 in b, -2/11, 1? b Let n be 3 - (-4)/(-12) - (-2)/(-1). Let g = 4.3 + -4.7. Which is the ...
{ "pile_set_name": "DM Mathematics" }
b Let y = -0.13 - -7.13. Let d = y + -7.3. Let p = -242555.5 + 242556. What is the nearest to 0.5 in d, p, -4? p Let a = -2278.8 - -2279. What is the nearest to a in 0.3, -17, -3, -4? 0.3 Let t = 32.634 + -32.934. What is the nearest to 35 in -2, 0.5, t? 0.5 Let j be 126/344 - 224/896. What is the closest to j in -0.5...
{ "pile_set_name": "DM Mathematics" }
2 n. 1/40 Two letters picked without replacement from {x: 1, q: 8, r: 2, t: 1, u: 4}. Give prob of picking 1 u and 1 x. 1/30 Two letters picked without replacement from {r: 2, x: 1, a: 2, n: 1, u: 1, l: 1}. Give prob of picking 1 a and 1 n. 1/14 Calculate prob of picking 1 e and 2 r when three letters picked without re...
{ "pile_set_name": "DM Mathematics" }
0))? 5 What is the value of 3/6*2*-8? -8 Calculate 8/(-40)*(5 - -5). -2 7/(-294)*-7*30 5 What is 2 + (-42)/(-9) + -8? -4/3 Evaluate -3 - (222/(-42) + 2/7). 2 Evaluate 505/101 + 2/(-6)*13. 2/3 Calculate 2/(-4)*-42*(-26)/78. -7 Evaluate (16/(-9))/(228/(-171)). 4/3 -11 + 8 + (-1)/(10/(-36)) 3/5 Calculate (-1)/(-2)*(-3)/(-...
{ "pile_set_name": "DM Mathematics" }
1313 (base 5) to base 11 17a What is 67ae (base 15) in base 6? 245445 -351 (base 9) to base 8 -441 Convert 4c (base 13) to base 6. 144 What is -33142 (base 7) in base 9? -12354 Convert d98 (base 16) to base 7. 13101 What is 1220 (base 3) in base 8? 63 What is -711 (base 10) in base 14? -38b What is -1241211 (base 5) in...
{ "pile_set_name": "DM Mathematics" }
the terms in -4757805 + 6*v + 4757805. 6*v Collect the terms in -8601*a - 4472 + 4472. -8601*a Collect the terms in -15 + 500273*i**2 + 23 - 8. 500273*i**2 Collect the terms in 5132834*i**2 - 2 + 2 + 40904750*i**2. 46037584*i**2 Collect the terms in -25260*u + 3 - 53 - 34223*u + 50. -59483*u Collect the terms in 2173*k...
{ "pile_set_name": "DM Mathematics" }
-c Let k(b) = -11*b. Let m(j) = 20*j + 40. Let p(a) = a + 1. Let f(t) = 5*m(t) - 200*p(t). Give -6*f(g) + 55*k(g). -5*g Let n(w) = -1 + 1 + 5*w - 5. Let b(o) = -1 - 11*o + 2 + o + 9*o. Suppose -51 = 3*g - v, -2*g - 33 = v - 2*v. What is g*b(q) - 4*n(q)? -2*q + 2 Let m(n) = -3*n - 2. Let i(h) = -2*h - 2. Let r be (-1 -...
{ "pile_set_name": "DM Mathematics" }
d -1? -1154802 Work out -0.2 * 1.3015. -0.2603 Product of 2 and 183. 366 Calculate 1.5*-39796. -59694 Product of 6169 and 11. 67859 What is -5 times 87.16? -435.8 Product of 200 and 0.214. 42.8 What is the product of 21706 and -0.7? -15194.2 Work out -4 * -7.39. 29.56 -9 * 36 -324 What is 0.0344 times -1.346? -0.046302...
{ "pile_set_name": "DM Mathematics" }
2/15 f What is the closest to -1/2 in -1, 0.3, -0.21, -1/3, 24/7? -1/3 Which is the closest to 3? (a) -5 (b) -1/122631 (c) 1 (d) 10 c Which is the closest to 0.5? (a) 5/24 (b) 46/7 (c) 12 (d) -2 a Which is the closest to 0.1? (a) -2/17 (b) 0 (c) 88/17 (d) -172.2 (e) 1/4 b Which is the closest to -2/5? (a...
{ "pile_set_name": "DM Mathematics" }
6641. What is the closest to 7/3 in w, -0.4, t? w Let w = -4.94 - -5. Let q = 1130/9 + -1129/9. Which is the closest to w? (a) q (b) -5 (c) 5 (d) -1 a Let j = 5432 - 5434. Which is the nearest to -1/4? (a) j (b) -0.4 (c) -6/17 c Suppose 3 = 21*x + 108. Which is the nearest to -0.1? (a) -2/17 (b) x (c) 1/4 (d...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {m: 2, p: 2, y: 1}. Give prob of sequence ppmy. 1/30 Two letters picked without replacement from {f: 5, t: 4, r: 1, d: 6}. What is prob of sequence dd? 1/8 Calculate prob of sequence jpp when three letters picked without replacement from {p: 2, j: 7}. 1/36 What is prob of sequen...
{ "pile_set_name": "DM Mathematics" }
y + a*v**2 + i*v and give y. 25 Express -2*v**4 + 25*v**2 + 2 + 0*v + 9*v - 49*v**2 + 29*v**2 as g + m*v**2 + y*v**3 + x*v + u*v**4 and give u. -2 Rearrange -1 + y + 1 - 18*y + 65*y - 24*y + (-2 + 2*y + 2)*(-4 + 0 + 0) - 9*y + 3*y + 11*y to v*y + s and give v. 21 Rearrange 2 - 318*g + 105*g - 112*g to the form q*g + w...
{ "pile_set_name": "DM Mathematics" }
be (t/70)/((-6)/(-21)). Is w less than or equal to y? True Let a(o) = -o**3 + 6*o**2 + 8*o - 17. Let g be a(7). Let d(l) = -5*l + 11. Let i be d(g). Which is bigger: i or 123/2? 123/2 Let v be ((11 - 0)/(-22))/((-26)/244). Which is smaller: v or 5? v Let m = 102 - 102.02. Let o = -4.96 - -5. Let y = -1.96 - o. Does y =...
{ "pile_set_name": "DM Mathematics" }
4*sqrt(19) Simplify (-4*(sqrt(704) + sqrt(704)*-1 - 4*sqrt(11)*2))**2. 11264 Simplify sqrt(130)/(sqrt(250)*-3). -sqrt(13)/15 Simplify sqrt(7) - (sqrt(14)/sqrt(8))**2 - ((sqrt(7) - 1*sqrt(175)) + sqrt(7))**2. -259/4 + sqrt(7) Simplify 6*((2*sqrt(65) - sqrt(65))/sqrt(5) - ((sqrt(13) + -1)*-5)**2). -2100 + 306*sqrt(13) Si...
{ "pile_set_name": "DM Mathematics" }
8 - 8 + 8)*(l - 2 + 2). 10*l Expand (-1 + 0 + 3 - 3*n)*(-1 + 3 - 3) - 2*n + 0*n + 5*n. 6*n - 2 Expand -45*r + 0 + 42*r - 3 + (r + 4*r - 4*r)*(4 - 1 - 4). -4*r - 3 Expand (-p**2 + 3*p**2 + p**2)*(-p + p - p)*(p**2 - 3*p**2 + 4*p**2). -6*p**5 Expand (-41 - 9*l + 41)*(3 + 1 - 3 + 4 - 4 - 2 + 3 - 4 - 1 + (-1 + 0 + 3)*(-2 +...
{ "pile_set_name": "DM Mathematics" }
= -5*j. Is 51 a factor of j? False Let r = 173 + 133. Is r a multiple of 51? True Let a = 6 - 23. Does 25 divide (133 - a)*(-2)/(-3)? True Suppose -140*m + 134*m = -17952. Is m a multiple of 34? True Does 15 divide ((-38)/(-76))/(1/232)? False Suppose -5*k + 5*l = -30, 0 = l - 3. Let z(b) = b**3 - 9*b**2 + 3*b + 22. D...
{ "pile_set_name": "DM Mathematics" }
when two letters picked without replacement from {q: 1, e: 2, k: 3, s: 1, r: 3}. 1/15 Four letters picked without replacement from {r: 2, b: 4, i: 1, a: 10}. Give prob of picking 2 a and 2 r. 9/476 Three letters picked without replacement from wjgfjwwjjwaffw. Give prob of picking 1 a and 2 f. 3/364 Two letters picked ...
{ "pile_set_name": "DM Mathematics" }
here in 3/8 of a microgram? 375 How many millilitres are there in 1/5 of a litre? 200 What is one fifth of a decade in months? 24 Convert 344.6294nm to kilometers. 0.0000000003446294 What is 332.8962l in millilitres? 332896.2 What is 31/5 of a century in years? 620 Convert 13236.3 milligrams to nanograms. 13236300000 W...
{ "pile_set_name": "DM Mathematics" }
e -3430 = 3*x + 590. Let c = -1/37990 + 205240979/151960. Let r = c + x. What is the common denominator of r and 28/5? 40 Let u be 75/(-200) - (-1286)/16. Find the common denominator of (-1)/3 + (-4)/(-24) and 4 + (-365)/u - -1. 48 Let x = 7019/16 + -2898055/6608. Find the common denominator of 17/4 and x. 1652 Suppose...
{ "pile_set_name": "DM Mathematics" }
-21 Round 31780 to the nearest one thousand. 32000 What is 0.00015811 rounded to 4 dps? 0.0002 What is 0.001444 rounded to 4 decimal places? 0.0014 Round 287208000 to the nearest one million. 287000000 What is 0.17751 rounded to two dps? 0.18 Round -0.003283 to 4 dps. -0.0033 Round 722700 to the nearest 100000. 700000 ...
{ "pile_set_name": "DM Mathematics" }
395. Let s = -45 - b. What is s rounded to six decimal places? -0.000003 Let q = 24.3 - 24. Let z = -0.2999856 + q. What is z rounded to 6 decimal places? 0.000014 Let h = -140.64 + 1.64. Let w = h + 206. Let a = w + -64.1. Round a to the nearest integer. 3 Let n be (-66)/48 - -1 - (-302415)/40. What is n rounded to th...
{ "pile_set_name": "DM Mathematics" }
nded to five decimal places? 0.00004 Let m = -34420505.999878 + 34420476. Let c = 46 - 16. Let b = m + c. Round b to 5 dps. 0.00012 Let x = -7.13 - -7.0667. Let t = -43.1633 - x. Let g = 47 + t. What is g rounded to zero decimal places? 4 Let r = 203.69149 - 203.7. Round r to 3 dps. -0.009 Let j = 6.04 - -91.16. Round ...
{ "pile_set_name": "DM Mathematics" }
= -5496/455 - 11/91. Find the common denominator of -58/33 and r. 165 Suppose -3*f - 40 = -2*x + 2*f, 0 = 5*x - 3*f - 81. Calculate the lowest common multiple of x and 27. 135 Let c = -2899 - -34723/12. What is the common denominator of c and -77/2? 12 Suppose 0 = m + m. Suppose -14 = -m*w - 5*w - f, 3*w - 14 = -2*f. ...
{ "pile_set_name": "DM Mathematics" }
the greatest common factor of k and z. 11 Let j(c) = -2*c**2 + 27*c - 49. Let d be j(9). Calculate the greatest common factor of d and 48832. 32 Let t = 24117 + -23952. Calculate the greatest common divisor of 561 and t. 33 Let w be -14*-2*5/35. Let r be w/((52/(-32))/(-13)). What is the greatest common factor of 4 and...
{ "pile_set_name": "DM Mathematics" }
nominator of -133/36 and 47/120? 360 Calculate the common denominator of -59/4350 and 64/57. 82650 What is the common denominator of 1/148 and 45/26? 1924 Calculate the lowest common multiple of 66 and 12. 132 What is the lowest common multiple of 14 and 8? 56 Calculate the common denominator of -91/360 and 27/28. 2520...
{ "pile_set_name": "DM Mathematics" }
s(a) = 2*a - 21. Let p be s(14). Find the second derivative of 22*y - p*y - 45*y**2 + 49*y**2 wrt y. 8 Let q(n) be the second derivative of 11/20*n**5 + 0*n**2 + 7/12*n**4 + 0 - 10*n + 0*n**3. What is the third derivative of q(z) wrt z? 66 Let g(a) = 48*a**2 + 2*a - 46. Let p(h) = 100*h**2 + 4*h - 92. Let d(k) = -5*g(...
{ "pile_set_name": "DM Mathematics" }
/sqrt(3)). -5*sqrt(5)/4 Simplify (((-2*sqrt(77) - sqrt(77) - sqrt(77)) + sqrt(77))*5 + sqrt(77) + 3*(sqrt(77) + (sqrt(77)*-1 - sqrt(77))))/((1*sqrt(567) + sqrt(567))*-2). 17*sqrt(11)/36 Simplify -2*(sqrt(6) + -2*sqrt(726))/((-1*sqrt(50) - sqrt(50)) + sqrt(2)). -14*sqrt(3)/3 Simplify -6*sqrt(17)*-2 + 3*2*sqrt(17) - (sqr...
{ "pile_set_name": "DM Mathematics" }