 the second derivative of 77/24*y**4 + 9/10*y**5 + 28*y - 27/20*y**6 - 3*y**3 + 0 + y**2. Let c(g) = 0. What is g?
-1, 2/9, 1
Let m(b) be the first derivative of 0*b**2 + 7 + 1/2*b**4 + 0*b**3 + 0*b + 2/5*b**5. Factor m(i).
2*i**3*(i + 1)
Let x(b) = 5*b**2 + 11*b - 14. Let k(t) = -42*t**2 - 89*t + 114. Let q(o) = 6*k(o) + 51*x(o). Let q(c) = 0. Calculate c.
-10, 1
Let b(v) be the third derivative of v**7/105 - 17*v**6/240 + v**5/5 - 13*v**4/48 + v**3/6 + 38*v**2. Factor b(f).
(f - 2)*(f - 1)**2*(4*f - 1)/2
Suppose -14*i = -37*i + 69. Let q(o) be the first derivative of 13 + 0*o - 1/6*o**6 - 1/4*o**4 + 0*o**2 - 2/5*o**5 + 0*o**i. Let q(p) = 0. Calculate p.
-1, 0
Let t be 2/14*2 - (-38)/(-133). Factor 8/5*q + t*q**2 - 2/5*q**3 + 0.
-2*q*(q - 2)*(q + 2)/5
Find w, given that -38/3*w + 2/3*w**3 + 11/3*w**2 + 16/3 = 0.
-8, 1/2, 2
Suppose -392*f + 55 = -381*f. Let n(z) be the third derivative of 1/2*z**4 + 4/3*z**3 + 1/15*z**f + 0*z + 0 - 2*z**2. Let n(y) = 0. What is y?
-2, -1
Solve -10 + 75*g**2 + 45*g**2 + 4*g**4 - 42*g**3 + 17 - 7 - 50*g = 0 for g.
0, 1/2, 5
Let q(a) be the third derivative of 1/21*a**7 + 0*a + 0 - 13*a**2 - 1/6*a**6 - 5/12*a**4 - 1/168*a**8 + 1/3*a**3 + 1/3*a**5. Factor q(n).
-2*(n - 1)**5
Let n(o) = o**3 - 17*o**2 + 31*o - 11. Let a be n(15). Let b(z) be the third derivative of 0*z**3 + z**2 + 0*z + 1/36*z**a + 0 - 1/90*z**5. Factor b(k).
-2*k*(k - 1)/3
Suppose -h + 2*h - 16 = -3*y, 3*y - 4 = 2*h. What is c in -3*c**4 + 6*c + 0*c**y - c**3 - 5*c**3 + 3 = 0?
-1, 1
Suppose -5*l + 8*l - 8 = -4*w, 3*l = 0. Let u(d) be the first derivative of 2 - d**3 + 0*d - 3/4*d**4 + 0*d**w. Factor u(r).
-3*r**2*(r + 1)
Let t(h) be the third derivative of -5/8*h**4 - 9*h**2 + 4/5*h**5 - h**3 + 0*h + 0 - 9/40*h**6. What is d in t(d) = 0?
-2/9, 1
Let x(u) = 3*u**2 + 5*u + 8. Let f(m) = 11*m**2 + 16*m + 23. Let j(y) = -6*f(y) + 21*x(y). Determine p, given that j(p) = 0.
-2, 5
What is h in 75/2*h**3 + 15/4 - 3*h**5 + 51/2*h + 21/4*h**4 + 51*h**2 = 0?
-1, -1/4, 5
Let u(d) be the second derivative of 5/24*d**6 + 5*d - 3/4*d**5 - d**2 + 0 + d**4 - 2/3*d**3. Let x(i) be the first derivative of u(i). Factor x(t).
(t - 1)*(5*t - 2)**2
Let d(i) = -2*i**4 + 94*i**3 - 1056*i**2 - 1147*i - 5. Let b(y) = 2*y**4 - 94*y**3 + 1056*y**2 + 1148*y + 4. Let l(f) = -5*b(f) - 4*d(f). Factor l(z).
-2*z*(z - 24)**2*(z + 1)
Suppose -3*o + 1 = -2*o. Let j be (o/(-2))/((-9)/54). Factor -h**2 + 6*h**j - 7*h**3 - h - h**2.
-h*(h + 1)**2
Let r(v) be the first derivative of -v**4/2 + 34*v**3/3 - 10*v**2 - 192*v - 574. Factor r(b).
-2*(b - 16)*(b - 3)*(b + 2)
Suppose 5*j - 6*j = -1, -5*j + 29 = b. Suppose -5*p + k - 3*k = -7, 4*p = 3*k + b. Factor 16/15 + 4/5*z**2 - 8/5*z - 2/15*z**p.
-2*(z - 2)**3/15
Let t(q) be the second derivative of -q**7/3360 - q**6/80 - 9*q**5/40 - 3*q**4/2 + 10*q. Let i(p) be the third derivative of t(p). Suppose i(b) = 0. What is b?
-6
Let j(q) be the third derivative of -q**5/12 - 5*q**4/12 + 5*q**3/2 + 72*q**2. Factor j(m).
-5*(m - 1)*(m + 3)
Let p = -711 - -717. Let d(l) be the third derivative of 0*l**4 + 0*l + 6*l**2 - 3/112*l**8 + 0*l**3 + 0*l**5 + 1/20*l**p + 1/70*l**7 + 0. Factor d(u).
-3*u**3*(u - 1)*(3*u + 2)
Let l be -3*(8 + -4 - 5). Find r, given that -r + 435*r**2 + 8*r**l - 431*r**2 + r = 0.
-1/2, 0
Let i be (-24)/28 + 144/168. Find d, given that -6/7*d**2 - 8/7*d**3 + i*d + 0 = 0.
-3/4, 0
Determine s so that 2*s**2 - 1378*s + 1338*s - 44 + s**2 + s**2 = 0.
-1, 11
Let j = 639/175 - 25/7. Let r(d) be the first derivative of j*d**5 + 5 - 4/15*d**3 + 2/5*d - 1/15*d**6 - 1/5*d**2 + 1/5*d**4. Factor r(a).
-2*(a - 1)**3*(a + 1)**2/5
Let g = -6 + 26. Let i(b) = 28*b**3 + 32*b**2 + 30*b - 4. Let s(z) = -9*z**3 - 11*z**2 - 10*z + 1. Let r(j) = g*s(j) + 6*i(j). Solve r(u) = 0 for u.
-1, -1/3
Let r(t) be the second derivative of t**4/42 - t**3/21 - 12*t**2/7 - 66*t. Factor r(v).
2*(v - 4)*(v + 3)/7
Let r(d) be the third derivative of d**7/840 + 11*d**6/480 - 7*d**5/120 - d**4/4 + 848*d**2. What is n in r(n) = 0?
-12, -1, 0, 2
Let w(y) = -y**3 + y**2. Let b(t) = 6*t**3 - 71*t**2 - 135*t - 68. Let k(o) = b(o) + 5*w(o). Solve k(a) = 0 for a.
-1, 68
Let y(z) be the second derivative of 11*z - 1/9*z**3 + 0 - 1/18*z**4 + 0*z**2. Factor y(t).
-2*t*(t + 1)/3
Let p(c) = -c**2 - c. Let k(z) = 20*z**2 + 35*z. Suppose 7*t = t + 150. Let o(l) = t*p(l) + k(l). Solve o(s) = 0 for s.
0, 2
Let x(g) be the second derivative of 0 + 0*g**3 - 1/20*g**5 + 1/36*g**4 - 1/126*g**7 - 10*g + 1/30*g**6 + 0*g**2. Factor x(j).
-j**2*(j - 1)**3/3
Determine z so that 544*z**2 - 5*z**4 + 4*z**3 - 2*z**3 - 524*z**2 - 8*z = 0.
-2, 0, 2/5, 2
Suppose 364 = 115*r - 96. Solve -2/7*y**2 + 0 + 0*y + 2/7*y**r + 0*y**3 = 0.
-1, 0, 1
Suppose 0 = 4*s + 9*l - 5*l + 756, -5*l - 577 = 3*s. Let x = 186 + s. Suppose 16/5*g + 16/5 + 4/5*g**x = 0. What is g?
-2
Let j(u) be the second derivative of 0*u**2 - 1/4*u**4 + 9*u + 0 - u**3. Determine c so that j(c) = 0.
-2, 0
Suppose 2*k + 75 = 7*k. Suppose 0 = -h + 2*a + 19 + 2, -5*a - k = 0. What is i in h*i + 0*i**3 + 2 - 9*i**2 + 3*i**4 - 8 - 3*i**3 = 0?
-2, 1
Let d(r) be the first derivative of -1/3*r**3 - 25*r - 5*r**2 + 2. Solve d(h) = 0.
-5
Let y = 355 + -346. Let x(a) be the first derivative of -1/2*a**3 + 0*a - 3/4*a**2 + y. Find t, given that x(t) = 0.
-1, 0
Let z(c) be the second derivative of -5*c**4/48 - 5*c**3/4 - 100*c. Let z(h) = 0. What is h?
-6, 0
Factor 38/3 + 7/6*f**3 + 39/2*f**2 - 50*f.
(f - 2)*(f + 19)*(7*f - 2)/6
Let y(u) be the first derivative of -u**8/840 + u**6/100 + u**5/75 - 3*u**2 - 18. Let j(w) be the second derivative of y(w). Factor j(l).
-2*l**2*(l - 2)*(l + 1)**2/5
Let q = 17852/5 - 3570. Factor -q*v**2 + 0*v + 2/5.
-2*(v - 1)*(v + 1)/5
Let 5/2*f**5 + 65/2*f**3 + 10*f + 0 + 15*f**4 + 30*f**2 = 0. What is f?
-2, -1, 0
Determine k, given that 2*k**3 + 0*k**4 - 11 - k**4 - 3*k**3 + 4*k + 6*k**2 + 0*k**4 + 3 = 0.
-2, 1, 2
Suppose -5*f - 1 = -11. Factor -7*p**2 + 8*p**4 - f + 6*p**4 + 61*p**2 + 8*p + 52*p**3 - 6.
2*(p + 1)**2*(p + 2)*(7*p - 2)
Let i(u) = u**3 - 12*u**2 + 2*u - 17. Let w be i(12). Let 3 + w + 18*f**2 + 12*f + 8*f**3 - 5 + f**4 + 4*f = 0. What is f?
-5, -1
Let f(r) be the third derivative of -2*r**6/75 + r**5/15 - r**4/30 - 4*r**2 - 9*r. Determine l, given that f(l) = 0.
0, 1/4, 1
Suppose 4*p - 58 = 3*q - q, -4*q - 8 = p. Suppose 4*c - 8*c + p = 0. Find v, given that -12*v**c - 7*v**4 - 12*v**4 - 16*v - 9*v**2 + 57*v**2 - v**4 = 0.
-2, 0, 2/5, 1
Let v(b) be the first derivative of -1/210*b**5 + 7 - 3/7*b**3 - 1/14*b**4 - 7/2*b**2 + 0*b. Let f(p) be the second derivative of v(p). Factor f(c).
-2*(c + 3)**2/7
Let y(s) = -11*s**2 - 4*s + 7. Let v(q) = 6*q**2 + 2*q - 4. Suppose -2*k = -7 - 1. Let d = 175 + -168. Let h(f) = d*v(f) + k*y(f). Factor h(t).
-2*t*(t + 1)
Let q = 138/17 - 7641/935. Let t = q + 397/220. Find p, given that -t*p**2 - 1/4 + 1/4*p**3 - 5/4*p + 2*p**4 + p**5 = 0.
-1, -1/2, 1
Let o(h) be the first derivative of -1/195*h**5 + 11 - 1/52*h**4 + 0*h**2 + 0*h - 1/2340*h**6 - 2*h**3. Let y(p) be the third derivative of o(p). Factor y(l).
-2*(l + 1)*(l + 3)/13
Let l be 29/12 - 2/(-8). Let n be (-5)/3*72/(-60). Determine b, given that -2 - l*b - 2/3*b**n = 0.
-3, -1
Suppose 0 = -60*q + 87*q - 39 - 15. Determine o so that 6/17*o**q - 8/17 + 2/17*o**3 + 0*o = 0.
-2, 1
Let x(a) be the third derivative of -a**7/420 + a**6/80 + a**5/20 - a**4/6 - 4*a**2. Factor x(i).
-i*(i - 4)*(i - 1)*(i + 2)/2
Suppose 55*w - 248*w = 53*w. What is v in 15/4*v + w + 5/4*v**2 = 0?
-3, 0
Let g(d) be the first derivative of -12 + 1/5*d**2 - 2/15*d**3 + 4/5*d. Find l such that g(l) = 0.
-1, 2
Let s(f) be the second derivative of -8*f**6/15 - f**5/5 + f**4/6 + 307*f. Factor s(x).
-2*x**2*(2*x + 1)*(4*x - 1)
Let o(m) be the first derivative of m**6/21 - 282*m**5/35 + 2589*m**4/7 - 29396*m**3/21 + 14421*m**2/7 - 9522*m/7 + 201. Find h, given that o(h) = 0.
1, 69
Let 20/11*a**2 + 64/11 - 64/11*a - 2/11*a**3 = 0. Calculate a.
2, 4
Let i(f) be the first derivative of -5*f**4/4 - 25*f**3 + 365*f**2/2 - 285*f + 212. Factor i(j).
-5*(j - 3)*(j - 1)*(j + 19)
Suppose 64 = 3*v - 4*w, 0 = -0*v - 5*v - 5*w + 60. Factor 24*k - 3*k**2 - v*k - 8 + k**2.
-2*(k - 2)**2
Let f(d) = -85*d**2 - 575*d + 1015. Let c(k) = -10*k**2 - 72*k + 127. Let x(b)