ppose 0 = -y - 3*y + 36. Let o be -4 - ((-588)/y)/7. Let 32/3 + 2/3*t**2 - o*t = 0. What is t?
4
Find p, given that -p**5 - 10*p**3 - 64*p - 54*p**3 - 3*p**5 + 3*p**5 - 405*p**4 + 252*p**2 - 24*p**5 = 0.
-16, -1, 0, 2/5
Let q(b) be the second derivative of b**4/8 + b**3 - 63*b**2/4 - 571*b. Factor q(n).
3*(n - 3)*(n + 7)/2
Let o = 8842/5 - 1767. Suppose f**3 - 1/5*f**4 - o*f**2 + 3/5*f + 0 = 0. What is f?
0, 1, 3
Let h(f) be the second derivative of 3*f**5/20 + 5*f**4/12 - 7*f**3/6 - 5*f**2 + 7*f - 10. Let q be h(-2). Factor -2/3*v**3 + 4/3*v**2 + 0*v + q.
-2*v**2*(v - 2)/3
Let m(i) be the first derivative of 1/12*i**6 - 4*i**2 - 34 + 0*i + 2/5*i**5 + 0*i**4 - 8/3*i**3. Determine f, given that m(f) = 0.
-2, 0, 2
Let s(j) be the third derivative of -j**7/1050 - j**6/600 + j**5/300 + j**4/120 - 47*j**2. Find i, given that s(i) = 0.
-1, 0, 1
Let y(a) = -14*a**3 - 15*a**2 - 15*a - 2. Let g be (-94)/(-8) - (91/28)/(-13). Let x(z) = -z**3 + z**2 - z. Let f(o) = g*x(o) - 3*y(o). Let f(s) = 0. What is s?
-1, -1/2, -2/5
Determine q so that 0*q**2 + 50*q - 22*q - q**2 = 0.
0, 28
Let s(p) be the second derivative of -1/12*p**3 + 1/48*p**4 + 1/8*p**2 - 34*p + 0. Determine k so that s(k) = 0.
1
Let -2/13*q**2 + 0 + 0*q + 0*q**3 + 2/13*q**4 = 0. Calculate q.
-1, 0, 1
Let p(d) be the second derivative of -d**4/6 - 3*d**3 - 8*d**2 - 4*d - 9. Determine a so that p(a) = 0.
-8, -1
Let z = 53/156 - 7/78. Find k such that 3/4*k**2 + z + 3/4*k + 1/4*k**3 = 0.
-1
Suppose 5*b - 2*a = 50, -4*b + a = -33 - 10. Let s be -3*b/(-9) + -2. What is g in -1 - g**4 + s*g**2 - 3/2*g**3 + 3/2*g = 0?
-2, -1, 1/2, 1
Suppose -30*u - 54 + 3/8*u**4 + 12*u**2 + 15/2*u**3 = 0. Calculate u.
-18, -2, 2
Let i(k) be the second derivative of 25*k**4/6 - 49*k**3/3 - 2*k**2 - 25*k + 2. Factor i(g).
2*(g - 2)*(25*g + 1)
Let v(h) be the first derivative of -8*h**3/3 + 71*h**2 + 36*h - 223. Factor v(g).
-2*(g - 18)*(4*g + 1)
Let p be (15*6/(-75))/(1*(-8)/15). Suppose -p*b**5 + 0 - 69/4*b**3 - 21/2*b**4 - 12*b**2 - 3*b = 0. Calculate b.
-2, -1, -2/3, 0
Let x(f) be the second derivative of -f**5/5 - 23*f**4/3 - 80*f**3 + 288*f**2 + 140*f. Factor x(w).
-4*(w - 1)*(w + 12)**2
Let z(t) be the third derivative of 1/1470*t**7 + 0 + 0*t + 3/140*t**5 + 1/21*t**3 + 1/168*t**6 + 26*t**2 + 1/24*t**4. Factor z(c).
(c + 1)**3*(c + 2)/7
Factor 0 + 4/5*k - 2/5*k**2.
-2*k*(k - 2)/5
Let a(q) be the second derivative of 1/3*q**3 + 1/18*q**4 + 2/3*q**2 + 0 + 27*q. What is n in a(n) = 0?
-2, -1
Suppose 2*v - 4 + 0 = 0. Let -28*t**5 + t**2 + 16*t + 79*t**v + 22*t**4 - 30*t**4 + 84*t**3 = 0. Calculate t.
-1, -2/7, 0, 2
Suppose -251 = 2*p - 257. Let y(d) be the first derivative of -4 + 15/4*d**2 + 15/4*d**4 + 5*d**p + 3/2*d**5 + 3/2*d + 1/4*d**6. Factor y(s).
3*(s + 1)**5/2
Let p(k) = 4*k**3 + k**2. Let u be p(2). Suppose -5*d - 6 = -u. Factor d*b**2 + 4/3*b + 0.
2*b*(9*b + 2)/3
Let g(f) = -f + 16. Let y be g(-5). Let k(w) = -w**2 + 22*w - 16. Let v be k(y). Factor 0*u**4 + 9/4*u - 3/2*u**2 + 3/2 - 3*u**3 + 3/4*u**v.
3*(u - 2)*(u - 1)*(u + 1)**3/4
Let i = 3020 + -3020. Factor 3/2*p**3 + i*p + 3/2*p**2 - 3*p**4 + 0.
-3*p**2*(p - 1)*(2*p + 1)/2
Let p(k) = -k**2 + 18*k + 19. Let w be p(-1). Factor 2/5 - 2/5*u**2 + w*u.
-2*(u - 1)*(u + 1)/5
Let d = 10 - 8. Suppose 7 + 3 = d*g. Let -3*x**3 + 6*x**4 + x**g - 3*x**2 - 2*x - 3*x**4 + 4*x**3 = 0. What is x?
-2, -1, 0, 1
Let q(w) = -2*w**3 - 6*w**2 + 4*w + 6. Let z(u) = -8*u**3 - 25*u**2 + 17*u + 25. Let a(l) = 18*q(l) - 4*z(l). Solve a(x) = 0 for x.
-2, -1, 1
Let g(m) be the first derivative of m**3/12 + m**2/8 - 5*m + 542. Determine p, given that g(p) = 0.
-5, 4
Let z be 8/50*(-25)/(-2). Suppose -3/2*n**z - 3/2 + 3*n = 0. Calculate n.
1
Let i = -1145/18 - -46007/720. Let t(c) be the second derivative of -9/16*c**4 - 13/24*c**3 - i*c**5 - 1/4*c**2 + 0 + 5*c - 7/120*c**6. Factor t(u).
-(u + 1)**3*(7*u + 2)/4
Let j(c) = 2*c**2 - 3*c. Let h(o) = -o**2 - o - 2. Let n be h(0). Let m = 7 + n. Let u(f) = -4*f**2 + 7*f. Let p(d) = m*j(d) + 3*u(d). Factor p(r).
-2*r*(r - 3)
Let m(k) be the second derivative of -5*k**4/12 - 75*k**3 - 20*k + 10. Determine h, given that m(h) = 0.
-90, 0
Let q(c) be the second derivative of -13*c**6/240 - 11*c**5/160 + 7*c**4/24 - c**3/12 - c - 6. Determine o, given that q(o) = 0.
-2, 0, 2/13, 1
Factor -26896 + 56*r - 171*r - 434*r - 107*r - 4*r**2.
-4*(r + 82)**2
Let g(p) = p**3 + 16*p**2 - 19*p - 20. Let z be g(-17). Let s = z - 9. Find l, given that -14*l - 16*l**2 - l**3 + 0*l**3 - 4 - s*l**3 = 0.
-1, -2/3
Let k(s) = 2*s**3 + 10*s**2 + 14*s + 10. Suppose 40 = m + 36. Let c(u) = 1. Let b(p) = m*c(p) - k(p). Determine z so that b(z) = 0.
-3, -1
Let g(t) be the third derivative of -t**5/15 + 29*t**4/6 + 20*t**3 + 153*t**2. Determine l, given that g(l) = 0.
-1, 30
Let r(c) = -57*c - 736. Let y be r(-13). Find n such that -1/2*n**2 + 9/2*n + y = 0.
-1, 10
Let s be 8 + 64/((-16)/2). Let x(v) be the first derivative of -3/2*v**2 - 6/5*v**5 + 4 + 2*v**3 + s*v + 3/4*v**4. Factor x(n).
-3*n*(n - 1)*(n + 1)*(2*n - 1)
Let x = -12 - -16. Suppose x*f + s = 5, 0 = -4*f + 7*f - 5*s - 21. Solve -40/7*q + 16/7 + 25/7*q**f = 0.
4/5
Let o be (-1)/((-15)/(-12)) + (-317)/(-390). Let u(k) be the second derivative of o*k**4 + 0*k**2 + 0 - 2*k + 0*k**3. What is t in u(t) = 0?
0
Suppose 6*t + 15 = 11*t, -5*m + 5*t - 5 = 0. Let l be (-84)/(-16) - 8/m. Factor -1/2*a**2 + 0 + 0*a + 3/4*a**4 - l*a**3.
a**2*(a - 2)*(3*a + 1)/4
Let u = -30390 - -2580304/85. Let d = u - -168/5. Solve -2/17*n**2 - d*n**3 + 2/17 + 2/17*n = 0 for n.
-1, 1
Let h(t) be the second derivative of 1/20*t**5 + 22*t - 25/2*t**2 + 3/4*t**4 + 0 + 5/2*t**3. Determine k, given that h(k) = 0.
-5, 1
Let m be ((-3)/2)/((-6)/8). Solve -640*l + 15*l**3 + 33*l**3 - 3*l**3 + 435*l**m + 220 = 0.
-11, 2/3
Suppose 12*s - 4*n = 8*s + 32, 3*s - 14 = n. Let h(t) be the first derivative of -3/2*t**2 + 3/4*t**4 + t**s - 3*t + 4. Determine q, given that h(q) = 0.
-1, 1
Let l(t) be the second derivative of t**9/3024 + t**8/1680 + t**3 + 12*t. Let n(c) be the second derivative of l(c). Factor n(a).
a**4*(a + 1)
Let z be ((-278)/4)/((-9)/(-18)). Let y = -969/7 - z. Find x, given that 2/7 - 4/7*x**2 + 2/7*x**5 - y*x**3 + 2/7*x**4 + 2/7*x = 0.
-1, 1
Let n be (-39)/12 + 3 + -8 + 1855/220. Find m such that -2/11*m**4 + 0 + 8/11*m**2 - n*m**3 + 8/11*m = 0.
-2, -1, 0, 2
Let p(c) be the third derivative of -1/140*c**5 - 1/140*c**6 + 0*c + 0*c**3 + 0 - 32*c**2 + 0*c**4. Solve p(a) = 0.
-1/2, 0
Factor 34/7*j**2 - 2/7*j**3 - 104/7*j + 0.
-2*j*(j - 13)*(j - 4)/7
Let r be (-147)/196*((-16)/(-3))/(-2). Find w such that -8/3*w - 1/3*w**3 - 16/3 + 7/3*w**r = 0.
-1, 4
Factor 319/2*m**2 + 121/2*m**3 - 64*m + 6.
(m + 3)*(11*m - 2)**2/2
Let s be (12/(-3) - -2) + 2. Factor 4*z**2 - 5*z**3 - 4*z + s*z**2 + 2*z**4 + z + 2*z.
z*(z - 1)**2*(2*z - 1)
Let s(w) be the first derivative of w**6/240 - w**5/10 + w**4 - 4*w**3/3 + 20. Let v(u) be the third derivative of s(u). Factor v(i).
3*(i - 4)**2/2
Factor -3*y**3 + 12*y + 30*y - 12*y**2 - 54*y.
-3*y*(y + 2)**2
Let c(r) be the third derivative of r**5/15 - 25*r**4/6 + 100*r**2 - r. Factor c(t).
4*t*(t - 25)
Let x = 1464230/9 - 162455. Let m = -237 + x. Let -2/3*c + m + 8/9*c**4 - 10/9*c**2 + 2/3*c**3 = 0. Calculate c.
-1, 1/4, 1
Suppose 6*r - 12 = -12. Let c(d) be the second derivative of 0 - 1/6*d**4 + d**2 + d + r*d**3. Let c(h) = 0. What is h?
-1, 1
Suppose -12*k - 2*h + 150 = -6*k, 5*h - 15 = 0. Factor -k - 27/2*y**3 - 36*y**2 + 66*y.
-3*(y + 4)*(3*y - 2)**2/2
Let i(d) = -10*d**5 + 7*d**3 + 3*d**4 + 0*d**5 + 6*d**3 + 9*d**5. Let q(x) = -x**4 - 3*x**3. Let t(r) = 2*i(r) + 9*q(r). Factor t(j).
-j**3*(j + 1)*(2*j + 1)
Let o be 30/(-8) - -3 - 15/(-4). Suppose h - x = 3*x + 20, -3*h = o*x. Determine m, given that -1/3*m**5 + 0 + 0*m + 1/3*m**h + 0*m**3 + 0*m**2 = 0.
0, 1
Let c(k) be the first derivative of -k**6/30 + 8*k**5/25 - 5*k**4/4 + 38*k**3/15 - 14*k**2/5 + 8*k/5 - 111. Let c(m) = 0. Calculate m.
1, 2
Suppose 100 - 28 = -4*j. Let l = 18 + j. Factor 4*o + 8*o**3 + l*o - 12*o**3.
-4*o*(o - 1)*(o + 1)
Let c = -110 - -113. Solve -c*g + 4*g**3 - 18*g**5 + 8*g**2 - 24*g**4 - 9*g + 10*g = 0.
-1, 0, 1/3
Let f be 187/55 - 4 - 13/(-5). Let c(x) be the third derivative of 0*x + 0 + 0*x**3 - 3*x**f + 1/240*x**5 - 