). Let i(v) be the first derivative of 0*v**5 - 2/3*v**3 + 5 + 0*v**2 - 3/2*v**4 + 0*v + 4/3*v**r. Solve i(s) = 0 for s.
-1/2, 0, 1
Let u be 4/18 - 116/36. Let y be -2 - ((-93)/(-33) + u) - -2. Factor y*t**2 - 4/11 - 2/11*t.
2*(t - 2)*(t + 1)/11
Let p = 18 + -14. Factor 8 + 12*i**3 - 5*i**4 - 4*i**2 - 4*i**4 + 2*i**4 + 3*i**p - 12*i.
-4*(i - 2)*(i - 1)**2*(i + 1)
Let n(t) = -t**2 - 94*t - 524. Let h be n(-88). Factor -2/3*w - 1/3*w**2 + 2/3*w**3 + 0 + 1/3*w**h.
w*(w - 1)*(w + 1)*(w + 2)/3
Suppose 4*x - o = 49, 0*x = -4*x - o + 47. Let i be (2/2)/((x/16)/3). Suppose 2/7*l**3 - 2/7*l + 0 - 2/7*l**i + 2/7*l**2 = 0. Calculate l.
-1, 0, 1
Factor 1/4*i**2 - 4 + 0*i.
(i - 4)*(i + 4)/4
Let b = 496 - 496. Let d(w) be the third derivative of -1/96*w**4 - 4*w**2 + 1/120*w**5 + 0*w + 1/480*w**6 + b - 1/12*w**3. Factor d(i).
(i - 1)*(i + 1)*(i + 2)/4
Let u(y) be the second derivative of y**2 - 1/2*y**3 - 5*y + 1/12*y**4 + 0. Factor u(c).
(c - 2)*(c - 1)
Let g(p) be the second derivative of p**4/6 + 46*p**3/3 + 529*p**2 - 4*p - 2. Let g(x) = 0. Calculate x.
-23
Solve 266*h + 960*h**2 + 3610 - 1972*h - 25*h**3 - 7699*h = 0 for h.
2/5, 19
Let f(m) be the second derivative of -m**5/5 - 113*m**4/3 - 6496*m**3/3 - 6272*m**2 - 138*m + 2. Find u, given that f(u) = 0.
-56, -1
Suppose 3 + 0 = s. Factor -25*c + 95*c**2 + 33*c**3 - 8*c**s - 10 - 85*c**2.
5*(c - 1)*(c + 1)*(5*c + 2)
Let d(i) be the third derivative of i**7/840 - 13*i**6/120 + 169*i**5/40 + 5*i**4/12 - 18*i**2. Let z(r) be the second derivative of d(r). Factor z(g).
3*(g - 13)**2
Factor -24*z + 57 - 12 + 9*z - 5*z**3 - 33*z**2 + 8*z**2.
-5*(z - 1)*(z + 3)**2
Let r(q) be the first derivative of 5*q**6/2 - 7*q**5 + 25*q**4/6 + 10*q**3/3 - 5*q**2/2 - 5*q/3 + 62. Factor r(h).
5*(h - 1)**3*(3*h + 1)**2/3
Let t(q) be the second derivative of q**5/70 - 9*q**4/7 - 37*q**3/7 - 8*q**2 + 42*q + 1. Solve t(a) = 0.
-1, 56
Find a such that -3 + 4*a**5 - 12 - 112*a**2 + 48*a**3 - 32*a**4 - 9 + 40*a**3 + 8 + 68*a = 0.
1, 4
Let k be -3 - (2/7 - (-428)/(-28)). Factor 7*o + o - o**3 + k + 0*o - o**2.
-(o - 3)*(o + 2)**2
Let p(h) be the second derivative of -h**5/20 + 5*h**4/12 - 7*h**3/6 + 3*h**2/2 - 70*h. Suppose p(q) = 0. What is q?
1, 3
Let y be (-12)/(-87)*(3/2 - 1). Let s = 110/87 + y. Factor s*c - 2/3 - 2/3*c**2.
-2*(c - 1)**2/3
Suppose -422*j + 427*j = 25. Suppose 5*a - 8 = -2*h, a - j*h = -0 + 7. What is z in -1/3*z**3 + 1/6*z + 1/6 + 1/6*z**5 - 1/3*z**a + 1/6*z**4 = 0?
-1, 1
Factor 14 + 2/3*f**2 + 20/3*f.
2*(f + 3)*(f + 7)/3
Let n(v) be the first derivative of v**8/1512 - v**6/270 + v**4/108 + 3*v**2 + 13. Let u(x) be the second derivative of n(x). Factor u(c).
2*c*(c - 1)**2*(c + 1)**2/9
Let q(i) be the second derivative of i**4/132 + i**3/11 + 4*i**2/11 - 7*i + 1. Factor q(j).
(j + 2)*(j + 4)/11
Let c(f) be the first derivative of 1/15*f**5 + 1/6*f**4 - 2 - 1/3*f + 0*f**3 - 1/3*f**2. What is z in c(z) = 0?
-1, 1
Let a(i) be the second derivative of 7*i**4/18 - i**3/3 - 59*i. Factor a(m).
2*m*(7*m - 3)/3
Let c be 15 - 14 - -1*31/1. Factor c*z + 208 + 4*z**2 - 208.
4*z*(z + 8)
Let l(d) be the third derivative of 1/120*d**5 + 0*d + 1/120*d**6 - 1/24*d**4 - 10*d**2 - 1/8*d**3 + 1/840*d**7 + 0. Factor l(w).
(w - 1)*(w + 1)**2*(w + 3)/4
Let p(m) be the second derivative of 2*m**7/105 + m**6/30 + 10*m**2 + 15*m. Let g(s) be the first derivative of p(s). Factor g(w).
4*w**3*(w + 1)
Factor -32/9*i**2 + 8*i**3 - 22/9*i**4 + 0 - 128/9*i + 2/9*i**5.
2*i*(i - 4)**3*(i + 1)/9
Let p(j) be the first derivative of -j**6/45 + 2*j**5/15 + j**4/18 - 4*j**3/9 + 23*j + 37. Let u(l) be the first derivative of p(l). Factor u(y).
-2*y*(y - 4)*(y - 1)*(y + 1)/3
Suppose s**2 + 1/3*s**3 + 0*s - 4/3 = 0. What is s?
-2, 1
Let f be 12/(-3) + 0 + 8. Suppose 4*x - 4*q = 32, -2*q = 5*x - f*q - 31. Let 0*j - j**3 - 1/3*j**x - 1/3*j**2 + 0 - j**4 = 0. What is j?
-1, 0
Find k, given that -40/3 + 5/3*k**2 + 10/3*k = 0.
-4, 2
Let d(i) = -4*i - 17. Let a be d(-3). Let o be (-4)/7*(15/6)/a. Determine r, given that -2/7*r**2 + 4/7*r - o = 0.
1
Let k(m) be the third derivative of -m**5/15 - 5*m**4/6 - 8*m**3/3 - 83*m**2 - m. Determine c, given that k(c) = 0.
-4, -1
Let g be (-12)/(-16)*(-280)/(-105). Let t(w) be the first derivative of -15/2*w**g - 9 - 3*w**4 - 8*w**3 - 3*w. Suppose t(a) = 0. Calculate a.
-1, -1/2
Let k(t) be the third derivative of -t**7/105 - t**6/12 - 7*t**5/30 - t**4/4 - 5*t**2 - 6*t. Factor k(b).
-2*b*(b + 1)**2*(b + 3)
Let w(g) be the second derivative of g**4/6 - 10*g**3/3 - g + 9. Find x, given that w(x) = 0.
0, 10
Let c(v) be the first derivative of -5*v**4 - 5*v**3 + 40*v**2 + 60*v + 420. Factor c(u).
-5*(u - 2)*(u + 2)*(4*u + 3)
Let p(k) be the third derivative of 3*k**6/40 + 19*k**5/20 - 13*k**4 + 30*k**3 - 2*k**2 + 29*k. Let p(s) = 0. What is s?
-10, 2/3, 3
Let g be (1 - -1 - 5) + (5 - 2). Let q(a) be the first derivative of 3 + 0*a + 2/21*a**3 + g*a**2. Factor q(d).
2*d**2/7
Let z(q) be the first derivative of -1/6*q**3 + 12 + 0*q + 1/2*q**2. Determine y so that z(y) = 0.
0, 2
Determine x, given that 27*x**4 + 15*x**5 - 81*x**3 - 36*x - 20*x**2 - 76*x**2 + 12 - 15*x**2 + 30*x**3 = 0.
-2, -1, 1/5, 2
Let h(l) = -l**5 + l**4 + l**3 - l**2 + 1. Let b(q) = -13*q**5 - 3*q**4 + 67*q**3 - 65*q**2 + 6*q + 14. Let s(x) = b(x) - 6*h(x). Factor s(m).
-(m - 1)**3*(m + 4)*(7*m + 2)
Suppose 15 = -35*d + 120. Let g(m) be the third derivative of 0 + 0*m - 1/6*m**d - 1/240*m**5 - 1/24*m**4 - 11*m**2. Suppose g(c) = 0. What is c?
-2
Let v(h) be the first derivative of 2*h**5 + 11*h**4 + 22*h**3 + 20*h**2 + 8*h + 106. Factor v(u).
2*(u + 1)**2*(u + 2)*(5*u + 2)
Let i(q) = -4*q**3 - 16*q**2 + 16*q. Let u(g) = -g**2. Let f(z) = -z**3 + 3*z**2 + 3*z + 3. Let s be f(4). Let v(h) = s*i(h) + 16*u(h). Factor v(m).
4*m*(m - 2)*(m + 2)
Let m = 4343 + -4339. Factor -m*w - 8 - 1/2*w**2.
-(w + 4)**2/2
Suppose 26/3*m**2 - 4/3 + 3*m - 4/3*m**4 + 3*m**3 = 0. What is m?
-1, 1/4, 4
Let j = 1436 - 1434. Let o(s) be the first derivative of -1 + 8/15*s**3 + 4/5*s - s**j - 1/10*s**4. Determine m so that o(m) = 0.
1, 2
Let s(x) be the second derivative of x**8/30240 - x**7/5670 - x**6/1080 + x**4/6 - 10*x. Let v(h) be the third derivative of s(h). Factor v(y).
2*y*(y - 3)*(y + 1)/9
Let j(f) be the third derivative of -12*f**2 - 11/6*f**4 - 121/3*f**3 + 0*f - 1/30*f**5 + 0. Factor j(i).
-2*(i + 11)**2
Let n = -4625/2 + 2315. Let -2 - 1/2*g**2 - n*g = 0. What is g?
-4, -1
Let z = -16 + 17. Factor 2 - z + 6*t**2 - 4 - 5 - 2*t**3.
-2*(t - 2)**2*(t + 1)
Suppose 4*s - 38 = 2*t, -s + 28 = 4*t - 4. Let v = -9 + s. Factor -8*k + 9*k**3 + 20*k**2 - 25*k**v + 4*k.
-4*k*(k - 1)*(4*k - 1)
Let r(s) be the first derivative of s**4/30 - s**3/5 - 4*s**2/5 + 4*s - 10. Let g(v) be the first derivative of r(v). Factor g(t).
2*(t - 4)*(t + 1)/5
Suppose 0 = 536*t - 497*t. Factor 4/7*f**4 + 4/7*f**2 + t - 1/7*f**5 - 1/7*f - 6/7*f**3.
-f*(f - 1)**4/7
Let t(m) be the first derivative of -m**4/14 - 4*m**3/3 - 64*m**2/7 - 192*m/7 + 17. Factor t(f).
-2*(f + 4)**2*(f + 6)/7
Factor 4/5*l**2 + 44/5 + 48/5*l.
4*(l + 1)*(l + 11)/5
Let v(l) be the second derivative of l**5/50 + l**4/15 - 13*l**3/15 + 2*l**2 - 14*l - 3. Factor v(w).
2*(w - 2)*(w - 1)*(w + 5)/5
Let t(x) be the first derivative of 5/4*x**2 - 5/12*x**3 - 42 + 15/4*x. Factor t(u).
-5*(u - 3)*(u + 1)/4
Let j be (-6534)/(-858) - 21/3. Factor 10/13*m**3 + 0 - j*m**2 - 2/13*m**4 + 0*m.
-2*m**2*(m - 4)*(m - 1)/13
Let i = -596 - -598. Solve 0 + 1/5*b**i - 3/5*b**3 - 1/5*b**4 + 3/5*b = 0 for b.
-3, -1, 0, 1
Let l be 12 + (-1644)/66 + 14. Solve 2/11*j**5 + 8/11*j**4 + 2/11*j + 0 + 8/11*j**2 + l*j**3 = 0.
-1, 0
Determine k so that 5*k**3 - k**3 - 64*k**2 - 24*k**2 = 0.
0, 22
Let g = -13/14 - -10/7. Let r(t) be the first derivative of -1/2*t - g*t**2 - 1/6*t**3 + 4. Factor r(f).
-(f + 1)**2/2
Determine j so that 57/5*j**2 - 63/5*j - 9/5*j**3 + 3 = 0.
1/3, 1, 5
Let d(g) be the first derivative of -g**6/180 + g**4/12 + 2*g**3/3 + 7. Let x(r) be the third derivative of d(r). Find f such that x(f) = 0.
-1, 1
Let v be -2*(-1)/(-5)*25. Let r = 13 + v. Factor -38*k**4 - 30*k**r + 16*k**2 - 18*k**2 - 14*k**5 + 8*k - 4*k.
-2*k*(k + 1)**3*(7*k - 2)
Factor 12/7*s**3 + 0 + 2/7*s + 8/7*s**4 + 8/7*s**2 + 2/7*s**5.
2*s*(s + 1)**4/7
Let v(l) be the first d