 6*r + 0*r**4 + 0 - 2*r**2 + 2/3*r**3 - 1/20*r**5. Factor l(t).
(t - 2)**3*(t + 2)/4
Let f = 65/16 - -6587/80. Let a = f + -86. Factor 0 + 0*b + 0*b**3 - a*b**4 + 0*b**2 + 2/5*b**5.
2*b**4*(b - 1)/5
Let w(x) be the first derivative of 2/3*x**2 - 16/3*x + 16/9*x**3 + 11 - 1/3*x**4. Find t, given that w(t) = 0.
-1, 1, 4
Let x = -5/4 - -77/60. Let o(t) be the second derivative of -5*t + 4/5*t**2 - x*t**4 + 4/15*t**3 + 0 - 1/50*t**5. Factor o(w).
-2*(w - 2)*(w + 1)*(w + 2)/5
Factor 8*s**3 - 41 + 63*s + 4*s**4 - 71*s + 23 + 14.
4*(s - 1)*(s + 1)**3
Let q = 6/5 + -5/4. Let x = 3/10 + q. Factor 1/4*d**2 - 1/4 + 1/4*d**3 - x*d.
(d - 1)*(d + 1)**2/4
Factor -3/2*t - 2 - 1/4*t**2.
-(t + 2)*(t + 4)/4
Let y(j) = 25*j**3 + 24*j**2 + 48*j. Let d(n) = -9*n**3 - 8*n**2 - 16*n. Let p(i) = -11*d(i) - 4*y(i). Factor p(v).
-v*(v + 4)**2
Suppose -2*a = -5*a + 9. What is s in 5*s**3 - 4 + 93*s**4 + 3*s**a - 8*s - 89*s**4 = 0?
-1, 1
Let b(j) be the first derivative of -2*j**3/15 - 178*j**2/5 - 15842*j/5 + 33. Solve b(m) = 0.
-89
Let l be ((-45)/10 + 4)*0. Let c(x) be the third derivative of 2*x**2 + 0*x**3 + 1/132*x**4 - 1/330*x**5 + 0*x + l. Factor c(q).
-2*q*(q - 1)/11
Let v(s) be the first derivative of -1/9*s + 1/27*s**3 - 19 + 0*s**2. Determine a, given that v(a) = 0.
-1, 1
Let g(b) be the first derivative of -b**3/3 + 9*b**2/2 - 8*b - 62. Solve g(t) = 0 for t.
1, 8
Let h(s) be the third derivative of -s**8/10080 - s**7/1440 + s**6/720 - 2*s**5/15 + 3*s**2. Let q(n) be the third derivative of h(n). Solve q(g) = 0.
-2, 1/4
Let r(b) = -7*b**2 + 20*b - 19. Let n(m) = 4*m**2 + m + 1. Let a(p) = -n(p) - r(p). Find v, given that a(v) = 0.
1, 6
Let u(d) be the second derivative of d**4/28 - 2*d**3/7 - 9*d**2/2 + 2*d + 127. Factor u(r).
3*(r - 7)*(r + 3)/7
Let a(r) be the third derivative of -r**5/45 - 4*r**4/9 + 40*r**3/9 - r**2 + 85. Determine o, given that a(o) = 0.
-10, 2
Suppose 5*r - 3*p - 11 = 0, -2*r + r - 4*p = -16. Let t(f) be the second derivative of -f**2 + 0 - 1/10*f**5 - 1/2*f**r + 5*f - f**3. Factor t(v).
-2*(v + 1)**3
Let w be -5 + (4204/600 - (8 + -6)). Let q(f) be the third derivative of w*f**5 + 0*f**4 + 0*f**3 + 0*f + 0 + 5*f**2. Find g such that q(g) = 0.
0
Solve 0*s + 36*s**2 + 0 - 3/2*s**4 - 15/2*s**3 = 0 for s.
-8, 0, 3
Suppose 0 = 5*p - 9*p. Suppose 2*b - 2 = 2. Factor p - 1/2*n - 1/2*n**b.
-n*(n + 1)/2
Let x(l) be the second derivative of -5*l**7/252 - 4*l**6/45 - 3*l**5/20 - l**4/9 - l**3/36 - 117*l. Factor x(y).
-y*(y + 1)**3*(5*y + 1)/6
Let v(k) be the second derivative of 1/10*k**4 + 0*k**2 + 0 + 1/50*k**5 + 1/600*k**6 - 4/3*k**3 + 2*k. Let i(c) be the second derivative of v(c). Factor i(r).
3*(r + 2)**2/5
Determine g so that 0 + 4/3*g**3 - 2/9*g**5 - 8/9*g**4 + 8/9*g**2 - 10/9*g = 0.
-5, -1, 0, 1
Determine u, given that -4*u**2 + 17 - 8 - 85 + 28 + 28*u = 0.
3, 4
Let 1/8*m**2 + 13/4*m - 27/8 = 0. What is m?
-27, 1
Let j(r) = 6*r**3 + 68*r**2 + 112*r + 36. Let x(u) = -5*u**3 - 60*u**2 - 112*u - 36. Let v(n) = 3*j(n) + 2*x(n). Factor v(y).
4*(y + 1)*(y + 9)*(2*y + 1)
Solve -8/7*q + 12/7*q**2 - 16/7 + 2/7*q**3 - 2/7*q**4 = 0 for q.
-2, -1, 2
Let z(b) be the second derivative of -4*b**6/105 - 11*b**5/70 - 3*b**4/14 - b**3/21 + b**2/7 + 78*b. Factor z(c).
-2*(c + 1)**3*(4*c - 1)/7
Let d(l) be the third derivative of -l**7/1680 - l**6/120 - l**5/20 - l**4/6 - 7*l**3/6 + 10*l**2. Let z(u) be the first derivative of d(u). Factor z(m).
-(m + 2)**3/2
Suppose 2*a - 56 = -4*l, l - 2*a - 24 = -0*l. Let t be 6/(-1)*-1 - 64/l. Factor 1/2*n**4 - 1/2 + 0*n**t - n + n**3.
(n - 1)*(n + 1)**3/2
Let y(l) be the second derivative of -l**6/72 + 13*l**3/6 + 20*l. Let t(b) be the second derivative of y(b). Factor t(z).
-5*z**2
Let z be -9*5/(-15) + -1. Solve 12*s + 4*s**2 - 8*s**3 + 10*s**z + 2*s**2 - 16*s**4 - 4*s**5 = 0 for s.
-3, -1, 0, 1
Let f(g) be the first derivative of -g**6/15 - 8*g**5/25 - 3*g**4/10 + 85. What is b in f(b) = 0?
-3, -1, 0
Let h(b) be the third derivative of -12*b**2 + 1/840*b**8 + 1/60*b**4 + 2/75*b**5 - 2/15*b**3 - 1/150*b**6 + 0*b - 2/525*b**7 + 0. Suppose h(r) = 0. What is r?
-1, 1, 2
Let l = -2 + 6. Let 4*t**4 + l*t**3 + 12*t**2 + 4*t + t**3 + 7*t**3 = 0. Calculate t.
-1, 0
Let d be 27/12 + -2*(1 + 0). Let g(p) be the second derivative of -3/20*p**5 + 0*p**2 + 1/2*p**3 + 0 - d*p**4 + 1/10*p**6 + 4*p. Factor g(f).
3*f*(f - 1)**2*(f + 1)
Let t(x) = x**3 + 30*x**2 + 3*x + 3. Let u(m) = -6*m**3 - 152*m**2 - 14*m - 14. Let f(o) = 14*t(o) + 3*u(o). Factor f(w).
-4*w**2*(w + 9)
Let r(v) be the first derivative of 66*v**5/35 + 247*v**4/14 + 194*v**3/21 - 103*v**2/7 + 4*v - 113. Suppose r(f) = 0. What is f?
-7, -1, 2/11, 1/3
Let h(a) be the second derivative of -1/105*a**6 - 10/7*a**4 - 29 - 64/7*a**2 + 16/3*a**3 + 13/70*a**5 - a. Factor h(d).
-2*(d - 4)**3*(d - 1)/7
Let d = 471 + -467. Let y(m) be the first derivative of 1/3*m**3 + 0*m + 4 + 1/4*m**2 + 1/8*m**d. Factor y(n).
n*(n + 1)**2/2
Let t(r) = r**4 - 172*r**3 + 2340*r**2 - 8103*r - 27006. Let u(a) = -a**4 - a - 2. Let q(g) = t(g) - 3*u(g). Find p such that q(p) = 0.
-2, 15
Suppose 6*a = -10 + 34. Factor 99*m**5 + 1392*m + 110 - 342*m**5 + 130 + 567*m**a + 2952*m**2 + 2592*m**3.
-3*(m - 5)*(3*m + 2)**4
Let q(n) = -6*n**2 - 8*n - 12. Let i(d) = -8*d**2 - 10*d - 13. Let s(f) = 4*i(f) - 5*q(f). Factor s(b).
-2*(b - 2)*(b + 2)
Let y(z) = 22*z + 3 - 3 + z**3 - 24*z - z**4. Let f(p) = -p**3 + p**2 + p. Let d(j) = 2*f(j) + y(j). Factor d(h).
-h**2*(h - 1)*(h + 2)
Let s = 3/622 + 281/6220. Let o(z) be the second derivative of 0*z**3 + 0*z**2 + 5*z - s*z**4 - 9/100*z**5 + 0. Factor o(m).
-3*m**2*(3*m + 1)/5
Let w be (13/52 - 0)*(0 + 2). Let c(j) be the first derivative of -6 + 6*j + 3*j**2 + w*j**3. Suppose c(y) = 0. Calculate y.
-2
Let b(w) be the second derivative of 0*w**3 + 0*w**2 - 3/20*w**5 - 39*w - 7/4*w**4 + 0. Factor b(q).
-3*q**2*(q + 7)
Suppose -g + 23 = 3*d, -5*d + 45 = -0*g + 5*g. Find n, given that 2/7*n - 2/7*n**g + 0 = 0.
0, 1
Suppose -3*n = -3*z - 2538, 2*z = 4*z. What is f in 81 + 843*f**3 + 9*f - n*f**3 - 9*f**2 + 18*f = 0?
-3, 3
Suppose 4*a - 3*a - 3*f = 3, -5*a + 48 = -4*f. Determine h, given that 10*h + 5*h - 11*h - 20*h**2 + 4*h**4 + 4*h + a*h**3 - 4*h**5 = 0.
-2, 0, 1
Let o(d) be the second derivative of -1/21*d**3 + 0 - 1/42*d**4 + 0*d**2 + 19*d. What is z in o(z) = 0?
-1, 0
Suppose 0 = -4*w + 2*w - 3*w + 20. Find j such that -9/2*j**2 - 27/4*j**3 + 0 - 3*j**w - 3/4*j = 0.
-1, -1/4, 0
Let q(f) be the first derivative of 2*f**3/69 + 5*f**2/23 + 8*f/23 - 106. Determine a, given that q(a) = 0.
-4, -1
Determine z so that z**2 + 72*z - z**2 - 2846 + 2777 - 3*z**2 = 0.
1, 23
Let x(h) = 12*h**5 + 3*h**4 - 27*h**3 + 3*h**2 + 21*h - 9. Let v(w) = -w**5 + w**4 - w**3 - w**2 + 1. Let c(j) = 3*v(j) + x(j). Suppose c(z) = 0. What is z?
-2, -1, 1/3, 1
Let q(k) = 4*k**3 + 7*k**2 - 11*k. Let c(n) = 3*n**3 + 7*n**2 - 10*n. Let j(m) = -6*c(m) + 4*q(m). Factor j(p).
-2*p*(p - 1)*(p + 8)
Let h(u) = -u**2 - 32*u - 27. Let p(m) = 30*m + 25. Let y(n) = -5*h(n) - 4*p(n). Factor y(i).
5*(i + 1)*(i + 7)
Suppose -3*o - 1 = -13. Factor 3*h**2 - o*h**3 + 3*h**3 - h - h.
-h*(h - 2)*(h - 1)
Let q = 2/8649 + 69122/302715. Let w(t) be the first derivative of -1/7*t**4 + 3 + 0*t + 0*t**2 + q*t**5 + 0*t**3 + 2/7*t**6. What is b in w(b) = 0?
-1, 0, 1/3
Suppose 2*r + 2 = 2*n + 6, 2 = r + 5*n. Suppose -4*d + 2*d = -4. Solve -r + 0 - a**d + 1 + 2*a**2 = 0.
-1, 1
Suppose 22*y + 3*y = 150. Let d(s) be the first derivative of y - 1/3*s**3 - 9*s + 3*s**2. Suppose d(a) = 0. Calculate a.
3
Let v(o) be the first derivative of o**5/40 - o**3/4 - o**2/2 - 12*o + 8. Let d(f) be the first derivative of v(f). Factor d(p).
(p - 2)*(p + 1)**2/2
Let b(f) be the second derivative of -f**6/30 + 3*f**5/20 + 3*f**4/2 + 2*f**3/3 - 12*f**2 + 6*f + 2. Factor b(u).
-(u - 6)*(u - 1)*(u + 2)**2
Let b = -2 - 19. Let j = -18 - b. Factor j*i**4 - 8*i**3 - 2*i**3 - 2*i + i**3 + 9*i**2 - i.
3*i*(i - 1)**3
Suppose w = 3*w - 80. Find r such that 6*r + w*r**4 + 12*r**5 - 31*r + 28*r**3 - 16*r**2 + 9*r = 0.
-2, -1, 0, 2/3
Let w(x) be the second derivative of 0*x**3 + 11*x + 1/15*x**6 + 0*x**2 + 2/3*x**4 - 2/5*x**5 + 0. Find a, given that w(a) = 0.
0, 2
Let y be (-3 - -1) + (4/2 - 52/(-26)). Factor 1/6*n**3 - y*n**2 + 1/3 + 5/6*n + 2/3*n*