 be the second derivative of -1/9*u**4 + 3*u + 0 + 8/3*u**2 + 4/9*u**3 - 1/30*u**c. Factor v(i).
-2*(i - 2)*(i + 2)**2/3
Let v = -30771/11 - -2798. Factor 6/11 + 1/11*h**2 + v*h.
(h + 1)*(h + 6)/11
Let x(y) be the first derivative of 3*y**4 - y**3/2 - 6*y**2 + 3*y/2 + 25. Factor x(i).
3*(i - 1)*(i + 1)*(8*i - 1)/2
Suppose 0 = 3*j - s - 4, 3*s - 145 + 157 = -3*j. Suppose 2/7*p + j + 1/7*p**2 = 0. What is p?
-2, 0
Let n be -3*(-3)/81 - 205/1845. Factor 0 + n*q + 5/2*q**2 - 10/3*q**3 + 5/6*q**4.
5*q**2*(q - 3)*(q - 1)/6
Let f be (-1)/(-428 - (1 - 9)). Let i(g) be the third derivative of 8*g**2 + 2/35*g**5 + f*g**6 + 64/21*g**3 + 4/7*g**4 + 0 + 0*g. Find x such that i(x) = 0.
-4
Let i be 201 + (-1)/3*3. Let t be 1*2*60/i. Factor 0*o - 3/5*o**4 + 0 + 0*o**3 + t*o**2.
-3*o**2*(o - 1)*(o + 1)/5
Suppose -12 = 2*m - 5*m. Suppose -2*a = -m*a + 6. Factor -5*r**2 + 5*r**2 + 3*r**5 + a*r**4.
3*r**4*(r + 1)
Factor -1/2*n + n**3 - 1/2*n**5 + 0*n**2 + 0*n**4 + 0.
-n*(n - 1)**2*(n + 1)**2/2
Let n(c) be the second derivative of 3*c**5/40 - 9*c**4/4 + 81*c**3/4 - 4*c + 1. Factor n(o).
3*o*(o - 9)**2/2
Let x(j) be the third derivative of -j**5/20 + 33*j**4/8 - 46*j**2. Factor x(u).
-3*u*(u - 33)
Let p(t) = -t**2 - 17*t + 20. Let n be p(1). Let g(q) be the first derivative of 3/2*q**n - 1 - q**3 + 6*q. Factor g(o).
-3*(o - 2)*(o + 1)
Suppose 2*l - 4*g - 28 = 0, 66 = 5*l + 5*g - 34. Suppose -4*v + 30 = l. Factor -1/2*x**v - 1/2*x**2 + 0 + x.
-x*(x - 1)*(x + 2)/2
Let w(f) be the second derivative of f**9/3024 - f**7/504 + f**4/2 + 3*f. Let d(v) be the third derivative of w(v). Determine b, given that d(b) = 0.
-1, 0, 1
Suppose 0 = 3*q - 11 - 4. Let g be ((-6)/4)/(q/(-10)). Solve -12*d**2 - 2 - 2*d**g - 3*d**3 - d - 3*d - 5*d = 0.
-1, -2/5
Let i(t) be the second derivative of 64*t**6/15 + 32*t**5/7 + 2*t**4/7 - 26*t**3/21 - 4*t**2/7 - 152*t. Solve i(f) = 0 for f.
-1/2, -1/4, 2/7
Let q(n) be the first derivative of n**3 - 1/8*n**4 - 11/4*n**2 + 3*n + 29. Suppose q(u) = 0. What is u?
1, 2, 3
Let s(p) be the second derivative of p**5/80 + p**4/16 + p**3/8 + p**2/8 + 78*p. Let s(z) = 0. Calculate z.
-1
Let g = 7 - 11. Let m be (-3 - g) + (-1 - -3). Determine n, given that -2*n + 4*n**4 - 3*n**m + 3*n**3 - 2*n**5 - 4*n**2 + 4*n = 0.
-1, 0, 1
Factor -4*r + 1/3*r**3 + 1/3*r**4 - 8/3*r**2 + 0.
r*(r - 3)*(r + 2)**2/3
Let s(w) be the first derivative of -w**8/448 + w**7/140 - w**6/160 - 7*w**2/2 - 9. Let j(o) be the second derivative of s(o). Factor j(h).
-3*h**3*(h - 1)**2/4
Let o = -12/43 - -103/215. Determine u, given that -1/5*u**3 + 1/5*u - o*u**2 + 0 + 1/5*u**4 = 0.
-1, 0, 1
Let u(d) be the third derivative of 0*d + d**3 + 1/20*d**5 - 3/8*d**4 + 4*d**2 + 0. Factor u(g).
3*(g - 2)*(g - 1)
Suppose 3*d + d**2 - 87 + 32 + 32 + 13 = 0. Calculate d.
-5, 2
Let q(n) be the second derivative of n**5/230 + n**4/69 - 29*n**3/69 - 30*n**2/23 - 581*n. Find t such that q(t) = 0.
-6, -1, 5
Factor 3*t - 44*t**2 - t - 7*t + 52*t**4 - 8*t**3 - 8*t**2 + 13*t.
4*t*(t - 1)*(t + 1)*(13*t - 2)
Let d(b) be the second derivative of b**8/336 - b**7/42 + b**6/18 - b**3/2 + 43*b. Let z(a) be the second derivative of d(a). Factor z(g).
5*g**2*(g - 2)**2
Let i(f) be the first derivative of f**7/1050 - f**6/120 + 2*f**5/75 - f**4/30 - 25*f**2/2 + 34. Let t(q) be the second derivative of i(q). Factor t(n).
n*(n - 2)**2*(n - 1)/5
Let r be 1/(9/(-6)) - (-78)/9. Let f be 10/40 - (-14)/r. Solve 1 + 1/2*u**f + 3/2*u = 0.
-2, -1
Let i = 7292/5 - 1456. Factor -16/5 - i*g + 4/5*g**2.
4*(g - 4)*(g + 1)/5
Suppose -2*d + 2*i + 8 = 0, -6*i - 8 = -2*d - 2*i. Let r(k) be the second derivative of 8*k + 1/2*k**2 + 1/40*k**5 + 5/12*k**3 + 1/6*k**d + 0. Factor r(p).
(p + 1)**2*(p + 2)/2
Let b(a) be the first derivative of -a**4/30 + 4*a**3/15 + 55. Factor b(i).
-2*i**2*(i - 6)/15
Let v(q) = -5*q**4 + 13*q**3 + 92*q**2 - 4*q + 4. Let p(r) = 10*r**4 - 28*r**3 - 182*r**2 + 9*r - 9. Let d(f) = 4*p(f) + 9*v(f). Suppose d(c) = 0. Calculate c.
-4, 0, 5
Let o(x) be the third derivative of -x**9/30240 + x**8/3360 - x**4/4 + 33*x**2. Let u(d) be the second derivative of o(d). Factor u(t).
-t**3*(t - 4)/2
Let n(a) be the third derivative of a**7/105 - a**6/5 + 23*a**5/15 - 5*a**4 + 25*a**3/3 + 116*a**2. Factor n(k).
2*(k - 5)**2*(k - 1)**2
Solve 0 + 16/7*k**2 - 16/7*k + 12/7*k**3 = 0.
-2, 0, 2/3
Let m(p) be the third derivative of -2*p**7/175 + 17*p**6/75 - p**5/25 - 14*p**4/5 - 88*p**3/15 - 7*p**2 + 8. Determine c so that m(c) = 0.
-1, -2/3, 2, 11
Let p(r) be the second derivative of 2*r**6/15 - 2*r**5/5 - r**4 + 16*r**3/3 - 8*r**2 + 83*r + 2. Determine i, given that p(i) = 0.
-2, 1, 2
Let x(v) be the first derivative of -7 - 2*v + 0*v**2 + 1/30*v**4 - 1/15*v**3. Let d(z) be the first derivative of x(z). Let d(p) = 0. Calculate p.
0, 1
Let u = -260 - -153. Let w = -107 - u. Solve l + w*l**2 - 1/4*l**3 + 0 = 0.
-2, 0, 2
Factor -19*m**2 + 20*m**3 + 5*m**4 + 19*m**2 - 70*m - 40 - 15*m**2.
5*(m - 2)*(m + 1)**2*(m + 4)
Suppose -4*i = 20, 0 = -3*v - 0*i - 4*i - 14. Solve 3*r**2 - 4*r**3 - 3*r - v + 7*r**3 + 1 - 2 = 0 for r.
-1, 1
Suppose -3*x + 20 = -z, -2*x + 61 = -13*z + 8*z. Let g be z/((-385)/340) - 0. What is v in -64/7*v**3 + 8/7 - g*v + 160/7*v**2 = 0?
1/4, 2
Let s(o) = -6*o**4 + 14*o**3 - 21*o**2 + 9*o - 2. Let f(k) = -12*k**4 + 30*k**3 - 43*k**2 + 19*k - 4. Let l(j) = 6*f(j) - 10*s(j). Factor l(r).
-4*(r - 1)**3*(3*r - 1)
Let u(p) be the second derivative of p**7/105 + 2*p**6/15 + 39*p**5/50 + 37*p**4/15 + 68*p**3/15 + 24*p**2/5 - 379*p - 1. Solve u(q) = 0 for q.
-3, -2, -1
Suppose -8/9*r**2 - 4/9 + 2/9*r**3 + 10/9*r = 0. What is r?
1, 2
Let l(s) be the third derivative of s**6/600 - s**5/50 + s**4/24 + 163*s**2. Factor l(u).
u*(u - 5)*(u - 1)/5
Let p(f) be the third derivative of 1/144*f**6 + 1/40*f**5 + 20*f**2 + 0*f + 1/1260*f**7 + 1/18*f**3 + 0 + 7/144*f**4. Determine b, given that p(b) = 0.
-2, -1
Let j(x) be the second derivative of -1/30*x**5 - 1/18*x**4 + 4/3*x**2 + 0 - 3*x + 4/9*x**3. Suppose j(l) = 0. Calculate l.
-2, -1, 2
Let r be (-1646)/(-12) + (-8)/(-48). Let b = r + -136. Factor -2*c**5 + 0*c**2 + 0 + 2/3*c**3 + 0*c - b*c**4.
-2*c**3*(c + 1)*(3*c - 1)/3
Factor 8 - 46/3*t + 2/3*t**3 + 20/3*t**2.
2*(t - 1)**2*(t + 12)/3
Let v(q) be the second derivative of q**4/6 - 3*q**2 - 39*q. Let s be v(2). Factor -1/4*d**s + 0 + 0*d.
-d**2/4
Let m(r) = -r - 1. Let v(z) = -9*z**2 + 16*z - 23. Let u(k) = k**2 - k. Let w(q) = -6*u(q) - v(q). Let n(d) = -5*m(d) - w(d). Factor n(l).
-3*(l - 3)*(l - 2)
Solve -10/3*l + 0 - 1/6*l**2 = 0 for l.
-20, 0
Let u(j) = j**3 - 97*j**2 + 108*j + 3. Let q(y) = 4*y**3 - 486*y**2 + 538*y + 14. Let w(x) = -3*q(x) + 14*u(x). Factor w(t).
2*t*(t - 1)*(t + 51)
Let j(b) be the third derivative of -5/3*b**3 + 0*b - 1/15*b**5 - 11/12*b**4 + 0 - b**2. Solve j(o) = 0 for o.
-5, -1/2
Let o(r) be the second derivative of -r**5/5 + 13*r**4/3 - 46*r**3/3 + 22*r**2 + 75*r. Factor o(t).
-4*(t - 11)*(t - 1)**2
Suppose 7*v - 55 = 1. Suppose 2 = 5*m - v. Let m*j + 2*j**4 + 4*j + 15*j**2 - 6*j**3 - 17*j**4 = 0. What is j?
-1, -2/5, 0, 1
Let v(b) = -10*b**3 - b**2. Let c(u) be the first derivative of -9*u**4/4 - u**3/3 - 1. Let q(f) = -6*c(f) + 5*v(f). Factor q(g).
g**2*(4*g + 1)
Let p(z) = -z**3 - 6*z**2 + 16*z + 27. Let f(a) = a**2 - 1. Let m(d) = 21*f(d) + 3*p(d). Let m(v) = 0. What is v?
-2, 5
Find n, given that 3*n**3 - 13*n**2 + 3/2*n**4 - 9/2 + 27/2*n - 1/2*n**5 = 0.
-3, 1, 3
Let d(s) = -s**3 + 9*s**2 + 10*s + 4. Let m be d(10). Let w be -6*(-4)/m + -4. What is j in -8/5*j - 8/5*j**w + 6/5*j**3 + 0 + 4/5*j**4 - 2/5*j**5 = 0?
-1, 0, 2
Solve -251 - 3*q**3 - 64 - 453 + 0*q**3 - 419*q**2 + 455*q**2 = 0.
-4, 8
Let x be 2/4 + (-1090)/60. Let b = x - -19. Solve -7/3*g**2 + g**4 + b + 0*g + 1/3*g**5 - 1/3*g**3 = 0.
-2, -1, 1
Let r(p) be the first derivative of p**3/15 - 23*p**2/5 + 529*p/5 - 18. Factor r(g).
(g - 23)**2/5
Let z(v) = -10*v**2 + 187*v - 72. Let l(s) = -110*s**2 + 2058*s - 792. Let d(n) = -6*l(n) + 68*z(n). Factor d(g).
-4*(g - 18)*(5*g - 2)
Let l(o) be the third derivative of 0 + 5/6*o**3 - 8*o**2 + 0*o - 1/70*o**5 - 1/21*o**4 - 1/630*o**6. Let m(z) be the first derivative of l(z). Factor m(w).
-4*(w + 1)*(w + 2)/7
Let h(m) be the first derivative of -m**3/15 + 22*m**2/5 - 484*m/5 - 9. Factor h(f