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Let l(c) be the third derivative of 1/132*c**4 - 2/1155*c**7 + 0*c**3 - 1/1848*c**8 + 1/165*c**5 - 4*c**2 + 0 + 0*c + 0*c**6. Solve l(i) = 0 for i.
-1, 0, 1
Suppose -3*i + 5 = -2*i. Let g(y) be the third derivative of 0*y - 2/15*y**4 + 2*y**2 + 3/100*y**6 - 1/50*y**i + 0 + 4/15*y**3. Suppose g(h) = 0. What is h?
-1, 2/3
Let v(f) be the third derivative of f**5/240 + f**4/48 + 10*f**2. Factor v(k).
k*(k + 2)/4
Let o(r) be the second derivative of -r**9/83160 - r**8/18480 + r**4/4 + 3*r. Let b(h) be the third derivative of o(h). Determine c so that b(c) = 0.
-2, 0
Factor 0 - 1/3*h**3 + 1/3*h**4 + 1/3*h**5 - 1/3*h**2 + 0*h.
h**2*(h - 1)*(h + 1)**2/3
Let y = -5 + 5. Let a(j) be the first derivative of y*j**4 + 0*j - 3 + 2/9*j**3 - 2/15*j**5 + 0*j**2. Factor a(t).
-2*t**2*(t - 1)*(t + 1)/3
Let k(j) be the first derivative of -j**4/30 + 2*j**3/15 - 2*j**2/15 - 3. What is c in k(c) = 0?
0, 1, 2
Let t be 1 + 2 + 0 + 1. Let k be 6/5*(-40)/(-16). Factor 4*l + k*l**2 + 0*l**2 - 8 - 2*l**3 + t - l**4.
-(l - 1)**2*(l + 2)**2
Let q(v) be the third derivative of -v**8/588 + v**7/735 + v**6/210 - v**5/210 - 9*v**2. Let q(i) = 0. What is i?
-1, 0, 1/2, 1
Let d(o) = -o**2 + 1. Let u(f) = -9*f**2 - 16*f - 25. Let v(a) = 14*d(a) - 2*u(a). Solve v(c) = 0.
-4
Let t(w) = 27*w**5 + 21*w**4 + 9*w**2 + 9*w. Let v(j) = 7*j**5 + 5*j**4 + 2*j**2 + 2*j. Let b(k) = -2*t(k) + 9*v(k). Find m, given that b(m) = 0.
-1/3, 0
Factor 13/2*f**2 - 6*f + 1/2*f**4 + 2 - 3*f**3.
(f - 2)**2*(f - 1)**2/2
Let o(s) = s**2 + 6*s + 5. Suppose -5 + 0 = u. Let d be o(u). Find z, given that 3*z + 3*z**4 + 3*z**3 + 6*z**3 + d*z**4 + 9*z**2 = 0.
-1, 0
Let y(d) = d**5 + 9*d**3 - 9. Suppose -4*s - 11 = 2*f - 45, -s + 2*f = -11. Let l(b) = -2*b**3 + 2. Let o(z) = s*l(z) + 2*y(z). Determine c so that o(c) = 0.
0
Let n(r) = r**4 + 10*r**3 + 13*r**2 + 6*r - 2. Let t(i) = 15*i**4 + 159*i**3 + 207*i**2 + 96*i - 33. Let z(g) = -33*n(g) + 2*t(g). Factor z(h).
-3*h*(h + 1)**2*(h + 2)
Let f(x) be the second derivative of x**6/240 + x**5/120 - x**4/24 - 3*x**2/2 - 4*x. Let s(k) be the first derivative of f(k). Factor s(l).
l*(l - 1)*(l + 2)/2
Determine c so that 2*c**5 - 6*c**2 - 2*c**4 + 2*c**3 - 7*c + 8*c**4 + 3*c = 0.
-2, -1, 0, 1
Let o be 44 - (0 - -1)*2. Suppose -o = 5*f - 117. Suppose 0*v**4 + 5*v + 6*v**2 + 4 - f*v + 2*v**3 - 2*v**4 = 0. Calculate v.
-2, 1
Let s be (-8 + 0)*(-3)/14. Let q be ((-4)/42)/(17/18 + -1). Suppose s*o**4 + 3/7 + 6/7*o - 9/7*o**2 - q*o**3 = 0. What is o?
-1/2, 1
Let z = -7/346 + -32849/1038. Let u = 32 + z. Factor -1/3*h**2 + 0 - 1/3*h**5 + 1/3*h**4 + 0*h + u*h**3.
-h**2*(h - 1)**2*(h + 1)/3
Let c(i) be the second derivative of -i**7/98 + i**6/35 + 3*i**5/140 - i**4/14 + 16*i. What is n in c(n) = 0?
-1, 0, 1, 2
Let v = -5 - -5. Suppose -3*g + 3 + 3 = v. Let 0 + 1/3*n + 1/3*n**g = 0. What is n?
-1, 0
Let u(t) be the second derivative of -5*t**7/84 - 2*t**6/15 + t**5/10 + 5*t**4/12 + t**3/12 - t**2/2 - t. Suppose u(h) = 0. Calculate h.
-1, 2/5, 1
Factor 3*o + 4*o**3 + 21*o**2 - 4*o**3 + 13*o**3 - 48*o**4 + 11*o**3.
-3*o*(o - 1)*(4*o + 1)**2
Let v be 2/(-10) + (-142)/(-10). Suppose d - 3*d + v = 0. Factor -4*m**2 + d*m**3 - 6*m**2 + 4*m - m**3 + 0*m**2.
2*m*(m - 1)*(3*m - 2)
Let t(y) be the third derivative of 0 + 0*y + 1/210*y**5 - 1/28*y**4 - 4*y**2 + 2/21*y**3. Determine b, given that t(b) = 0.
1, 2
Let n be 4/(-6)*(-2 - 1). Let s(m) = m**2 - 7*m + 9. Let c be s(6). Determine b, given that 16/5*b**n + 2/5*b - 4/5 + 2*b**c = 0.
-1, 2/5
Let 2*o**4 + 4*o**4 + 10*o**4 + 41*o - 25*o + 48*o**2 - 60*o**3 = 0. What is o?
-1/4, 0, 2
Factor 7*f**2 + f**5 + f**3 - 5*f**5 - 3*f**2 + 3*f**3 - 4*f**4.
-4*f**2*(f - 1)*(f + 1)**2
Let q(g) be the second derivative of g**6/75 - 7*g**5/100 + g**4/10 + g**3/30 - g**2/5 + 19*g. Determine i so that q(i) = 0.
-1/2, 1, 2
Factor 1/6*m**2 + 1/6*m - 1/6*m**3 - 1/6*m**4 + 0.
-m*(m - 1)*(m + 1)**2/6
Let h be 4 + -1 - (5 - 4). Suppose -3 = -2*k + 1. Factor 1/2 + 3*y**k - h*y - 2*y**3 + 1/2*y**4.
(y - 1)**4/2
Suppose 21 = 5*b - 4*q + 6*q, -3*b = -q - 6. Factor 0 + 4/9*v**2 - 2/9*v - 2/9*v**b.
-2*v*(v - 1)**2/9
Find d, given that 0 - 1/9*d**3 - 25/9*d + 10/9*d**2 = 0.
0, 5
Factor 7*l**3 - 20*l**2 + 4*l + 10*l**3 - 3 - 5*l**3 + 7.
4*(l - 1)**2*(3*l + 1)
Suppose -2*f + f - 1 = 3*v, -5*v = -2*f + 20. Let j be ((-2)/(-3))/((-4)/(-18)). Factor 0 + 1/6*b**j + 0*b - 1/6*b**4 + 1/6*b**2 - 1/6*b**f.
-b**2*(b - 1)*(b + 1)**2/6
Determine k, given that 33*k + 48 - 4*k**2 + 3*k**2 + 4*k**2 - 9*k = 0.
-4
Let b(d) = -d**2 + 11*d + 14. Let k be b(12). Let h(c) be the first derivative of -1/3*c**3 - c**k - c + 1. Factor h(y).
-(y + 1)**2
Factor 8*z**4 - 7*z**4 + 10*z**3 - 60*z + 11*z**2 + 2*z**2 + 36.
(z - 1)**2*(z + 6)**2
Let t(y) = y + 8. Suppose 3*z + 22 = -2. Let p be t(z). Suppose 0 + 2/3*b**2 + 0*b**3 - 2/3*b**4 + p*b = 0. What is b?
-1, 0, 1
Let b(j) be the first derivative of -j**4/18 + 4*j**3/9 - j**2 - 4*j + 6. Let g(h) be the first derivative of b(h). Factor g(n).
-2*(n - 3)*(n - 1)/3
Let o(w) be the second derivative of -w**7/70 - w**6/20 + w**2 - 2*w. Let f(q) be the first derivative of o(q). Solve f(k) = 0 for k.
-2, 0
Let g(v) be the second derivative of v**6/6 - 5*v**5/4 + 15*v**4/4 - 35*v**3/6 + 5*v**2 - 10*v. Let g(a) = 0. What is a?
1, 2
Let z be (-15)/3*(-1 - 0). Let a = z - 3. Factor -22*w + 125*w**4 - 15*w**a + 175/2*w**3 - 4.
(2*w - 1)*(5*w + 2)**3/2
Suppose 5*o - 33 = -13. Suppose 3*d = -o*w + 2 + 7, -4*w - 9 = -3*d. Let -1/4 + 0*z**d - 1/4*z**4 + 0*z + 1/2*z**2 = 0. Calculate z.
-1, 1
Let h(d) = -7*d**2 - 9*d + 5. Let y(k) = -11*k**2 - 14*k + 8. Let w(n) = 8*h(n) - 5*y(n). Factor w(i).
-i*(i + 2)
Let c = 66 - 64. Factor 2/5*h + 2/5*h**4 - 2/5*h**3 + 0 - 2/5*h**c.
2*h*(h - 1)**2*(h + 1)/5
Let r be ((-40)/(-35))/((-6)/(-7)). Suppose -14/3*l**3 + 2/3 - 10/3*l + r*l**4 + 6*l**2 = 0. What is l?
1/2, 1
Let z = -601 + 604. Factor 4/5*g**z + 2/5*g + 0 + 1/5*g**4 + g**2.
g*(g + 1)**2*(g + 2)/5
Let j = 6 - 3. Suppose 4*h = -i - 2*i + 317, j*i = -3. Factor 32*d**5 + 2*d - h*d**4 + 0*d - 20*d**2 + 66*d**3 + 0*d.
2*d*(d - 1)**2*(4*d - 1)**2
Let w = -18394/9 + 2044. Suppose 0 = -2*g + 10 - 4. Factor w*x**g - 2/9*x**5 + 0 + 0*x - 2/9*x**4 + 2/9*x**2.
-2*x**2*(x - 1)*(x + 1)**2/9
Let r = 9 + -7. Factor t - 4 - 2*t**2 + r*t + 3*t.
-2*(t - 2)*(t - 1)
Let z = 233/3 + -77. Let q = 5 + -3. Factor z*n - 4/3*n**q + 2/3.
-2*(n - 1)*(2*n + 1)/3
Let u(p) be the third derivative of 3*p**2 + 0*p - 1/350*p**7 + 0 + 0*p**3 + 1/200*p**6 - 1/40*p**4 + 1/100*p**5. Factor u(s).
-3*s*(s - 1)**2*(s + 1)/5
Let b(s) be the first derivative of -s**4/4 - 4*s**3/3 - 5*s**2/2 - 2*s - 6. Factor b(a).
-(a + 1)**2*(a + 2)
Let q be 1/(((-2)/(-8))/1). Suppose 2*n + 10 = -0, 2*h = 3*n + 23. What is r in 3*r**4 - r**h + 6*r**5 - q*r**5 = 0?
-1, 0
Let a(u) be the first derivative of 5*u**4/22 - 2*u**3 + 63*u**2/11 - 54*u/11 - 28. Find p such that a(p) = 0.
3/5, 3
Suppose -14 = -3*g - 2. Suppose 0 = -g*s - m + 8, -3*m + 5*m = -5*s + 13. Factor 14*w**2 + 11*w - 6*w**5 - 16*w**4 - 4*w**3 - 4*w**5 + s + 3*w**5 + 1.
-(w - 1)*(w + 1)**3*(7*w + 2)
Factor 2*j**5 - 91*j - 4*j**2 - 4*j**3 + 2 + 0*j**5 + 93*j + 2*j**4.
2*(j - 1)**2*(j + 1)**3
Let c = 1 + 4. What is t in 4*t**2 + c*t**2 + 2*t**3 + 9*t**3 - 2*t = 0?
-1, 0, 2/11
Let l(h) be the first derivative of h**4/6 + 38*h**3/27 + 11*h**2/3 + 2*h + 14. Factor l(q).
2*(q + 3)**2*(3*q + 1)/9
Let v(z) be the third derivative of 0 + 4/735*z**7 - 1/70*z**6 + 2/105*z**5 + 0*z**3 - z**2 - 1/84*z**4 - 1/1176*z**8 + 0*z. Factor v(b).
-2*b*(b - 1)**4/7
Factor -1/2*j**2 + 0 + 1/2*j**3 - j.
j*(j - 2)*(j + 1)/2
Let r(s) be the third derivative of -s**5/48 + 5*s**4/24 + 25*s**3/24 - s**2 + 9. Factor r(d).
-5*(d - 5)*(d + 1)/4
Let u be 10/(-85) + (-261)/(-51). Let k(x) be the second derivative of 0*x**u + 0*x**2 - 1/14*x**4 + 3*x - 2/21*x**3 + 1/105*x**6 + 0. Factor k(y).
2*y*(y - 2)*(y + 1)**2/7
Let p(s) be the second derivative of -1/90*s**4 + 1/50*s**5 - 1/15*s**3 + 2/225*s**6 + 0 + 9*s - 1/15*s**2. Suppose p(g) = 0. What is g?
-1, -1/2, 1
Let j(y) be the third derivative of 0 - 1/270*y**6 + 0*y - 1/270*y**5 - 1/945*y**7 + 0*y**3 + 0*y**4 + 3*y**2. Find b, given that j(b) = 0.
-1, 0
Let o be -1 + -15 - (-6)/(-3). Let k be 3/o - 51/(-18). Determine v, given that -4/