4 = -i - 3*v, v = -5*i + 4*v - 20. Let y be i/10*4*-5. Factor 3*r + r - r - 2*r - 1 - r**3 + r**y.
-(r - 1)**2*(r + 1)
Factor -5 - 4*c**4 - 8*c**3 + 4*c**5 + 1 + 4*c**2 + 4*c**2 + 4*c.
4*(c - 1)**3*(c + 1)**2
Let n(g) be the second derivative of -5*g**4/12 + 5*g**3/3 + 13*g. Find b such that n(b) = 0.
0, 2
Determine b, given that -40*b - 429 + 100*b**2 - 30*b**3 + 429 - 45*b**4 = 0.
-2, 0, 2/3
Let v(i) be the first derivative of -i**5/5 - i**4/4 + 4*i**3/3 + 2*i**2 - 2. Factor v(f).
-f*(f - 2)*(f + 1)*(f + 2)
Let h(p) be the first derivative of 1/6*p**6 + 0*p + 1/2*p**2 - 4 + 4/5*p**5 + 4/3*p**3 + 3/2*p**4. Determine z so that h(z) = 0.
-1, 0
Let z(v) be the first derivative of 5*v**6/33 - 24*v**5/55 - v**4/22 + 8*v**3/11 - 4*v**2/11 + 2. Let z(p) = 0. Calculate p.
-1, 0, 2/5, 1, 2
Let v(a) be the third derivative of a**5/90 - a**4/18 + a**3/9 + a**2. Let v(f) = 0. Calculate f.
1
Suppose 3 = 2*r - 1. Let l**3 - 21*l + 21*l + r*l**2 = 0. What is l?
-2, 0
Let v = -46/9 + 58/9. Suppose 4 = -2*w + 10. What is t in 2*t**5 + 0 - 10/3*t**w + v*t + 2/3*t**2 - 2/3*t**4 = 0?
-1, -2/3, 0, 1
Let w(l) be the first derivative of -l**8/840 - l**7/210 - l**6/180 + 2*l**3/3 + 3. Let p(h) be the third derivative of w(h). Find d such that p(d) = 0.
-1, 0
Let x = -9 + 14. Determine d so that 3*d**5 - 2*d**5 + 2*d**x - d**4 - 2*d**5 = 0.
0, 1
Suppose -8/9*f + 2/3 + 2/9*f**2 = 0. Calculate f.
1, 3
Let c(d) = d**2 - 12*d + 6. Let w be c(12). Let l(b) be the first derivative of 0*b + 1/3*b**2 + 0*b**4 - 4/9*b**3 - 1 + 4/15*b**5 - 1/9*b**w. Factor l(j).
-2*j*(j - 1)**3*(j + 1)/3
Let o(w) be the second derivative of w**7/168 - w**6/120 - w**5/80 + w**4/48 - 2*w. Factor o(z).
z**2*(z - 1)**2*(z + 1)/4
Let a(b) be the first derivative of 2 + b**2 + 0*b + 1/2*b**4 + 4/3*b**3. Find c, given that a(c) = 0.
-1, 0
Factor 2/9 + 0*t**2 + 4/9*t - 2/9*t**4 - 4/9*t**3.
-2*(t - 1)*(t + 1)**3/9
Factor -45/2 - 5/2*j**2 - 15*j.
-5*(j + 3)**2/2
What is d in 4/9*d + 2/9*d**2 - 4/9*d**3 - 2/9*d**4 + 0 = 0?
-2, -1, 0, 1
Let x be (-3 + 2)/(-27)*6. Factor -2/9*j**4 - x*j + 2/9*j**2 + 0 + 2/9*j**3.
-2*j*(j - 1)**2*(j + 1)/9
Let -26*f**2 + f**2 + 20 - 17*f - 3*f + 15*f**3 = 0. Calculate f.
-1, 2/3, 2
Let q be 10*-3*3/(-9). Suppose 5*f = -0 + q. Solve 3*l**f - 3*l**4 + l**3 + 2*l**4 - l**2 + 0*l**4 = 0.
-1, 0, 2
Let c(k) be the first derivative of -2/9*k**3 + 3 + 2/9*k**4 - 2/45*k**5 - 4/9*k**2 + 8/9*k. Solve c(h) = 0.
-1, 1, 2
Let -2/3*s**2 + 2*s + 0 - 10/9*s**3 - 2/9*s**4 = 0. Calculate s.
-3, 0, 1
Let j(d) be the third derivative of -d**7/4200 + d**6/1800 - 2*d**3/3 + 3*d**2. Let h(m) be the first derivative of j(m). Factor h(c).
-c**2*(c - 1)/5
Factor -158*u**2 - 74*u**2 + 38*u + 260*u**3 + 34*u + 50*u**4 - 24*u.
2*u*(u + 6)*(5*u - 2)**2
Suppose -o - 15 + 5 = 5*a, 0 = -2*o - a - 2. Let 1/5*l**2 + o - 3/5*l = 0. Calculate l.
0, 3
Suppose q + 0 = 5. Let a be (-9)/(-6) - 5/q. Find n, given that n**3 + 0 + 0*n + a*n**2 + 1/2*n**4 = 0.
-1, 0
Let d(q) = 10*q**5 - 7*q**4 - 10*q**3 + 7. Let u(g) = -2*g**3 + g**4 - 2 - 3*g**5 + 5*g**3 + g**4. Let h(r) = -2*d(r) - 7*u(r). Solve h(l) = 0 for l.
-1, 0, 1
Let t(g) = 7*g**3 + 7*g**2 + g + 1. Let l(m) = 8*m**3 + 8*m**2 + 2*m + 2. Let a(i) = 4*l(i) - 5*t(i). What is s in a(s) = 0?
-1, 1
Let y(r) be the second derivative of -r**8/8400 + r**7/2100 - r**6/1800 - r**3/6 + 2*r. Let s(n) be the second derivative of y(n). Factor s(x).
-x**2*(x - 1)**2/5
Let r(d) be the first derivative of 0*d**2 + 0*d + 1/9*d**3 - 4. Factor r(p).
p**2/3
Let j(m) = -6*m**2 + 6*m + 2. Let c(b) = -31*b**2 + 31*b + 11. Suppose -3*y = 25 + 8. Let g(f) = y*j(f) + 2*c(f). Let g(r) = 0. Calculate r.
0, 1
Let s(h) be the second derivative of h**4/6 - 2*h**3/3 + 12*h. Solve s(c) = 0 for c.
0, 2
Let a(k) be the first derivative of 0*k + 0*k**2 + 7 + 0*k**4 + 4/5*k**5 - 4/3*k**3. Factor a(g).
4*g**2*(g - 1)*(g + 1)
Let i(z) be the third derivative of 0 + 0*z**4 + 0*z - 1/135*z**5 - 1/180*z**6 + 0*z**3 + 4*z**2 - 1/945*z**7. Factor i(j).
-2*j**2*(j + 1)*(j + 2)/9
Let -2*z**2 - 5*z**4 - 6*z**2 - 15*z**3 + z**4 + 3*z**3 = 0. What is z?
-2, -1, 0
Let q(y) = -6*y + y - 6*y**3 + y - 7*y - 3*y**2. Let o(s) = -2*s**3 - s**3 - 5*s - s - s**2. Let h(f) = -7*o(f) + 4*q(f). Let h(x) = 0. Calculate x.
-1, -2/3, 0
Let a be (2/(-1))/(2/(-3)). Let k(n) be the third derivative of 2*n**2 + 1/120*n**6 + 0*n**a + 0 + 0*n**7 + 0*n + 0*n**5 - 1/48*n**4 - 1/672*n**8. Factor k(p).
-p*(p - 1)**2*(p + 1)**2/2
Let s be 6*(-12)/32*4. Let t = 9 + s. Find b such that -1/4*b**2 + t*b + 0 - 1/4*b**3 = 0.
-1, 0
Let o be (1*3)/(-3 + 0 + 4). Let s(k) be the first derivative of 0*k**4 + 4/9*k**o + 3 - 2/15*k**5 + 0*k**2 - 2/3*k. Factor s(d).
-2*(d - 1)**2*(d + 1)**2/3
Let f = -172/9 - -1946/99. Solve f*i**2 - 2/11*i**4 + 0*i**3 + 0 - 4/11*i = 0 for i.
-2, 0, 1
Suppose 5*h + 18 = 3*b, 4*h = 2*b + 3*h - 12. Factor 21*s**3 - 8*s**4 + 2*s**4 - 19*s**2 + b*s - 2*s**2.
-3*s*(s - 2)*(s - 1)*(2*s - 1)
Suppose 2*d - 4*d + 6 = 0. Find g such that -4/5*g**d - 2/5*g**4 + 2/5*g**2 + 4/5*g + 0 = 0.
-2, -1, 0, 1
Let v(p) be the second derivative of 2*p**7/39 - p**6/65 - 8*p**5/65 + p**4/26 + 2*p**3/39 - 3*p. Determine n so that v(n) = 0.
-1, -2/7, 0, 1/2, 1
Find z, given that 4/7*z**2 + 144/7 + 48/7*z = 0.
-6
Let p = -23 + 26. Let l(s) be the first derivative of -9*s - 15/2*s**2 - 2*s**3 - p. Factor l(j).
-3*(j + 1)*(2*j + 3)
Let r(m) be the second derivative of m**6/180 - m**5/30 - m**4/12 + m**3/9 + 5*m**2/12 - 22*m. Factor r(p).
(p - 5)*(p - 1)*(p + 1)**2/6
Suppose r = 2*r - 3. Suppose 3 = r*f - 6. Factor -i**3 - i - 3*i**2 - f*i + 3*i - i.
-i*(i + 1)*(i + 2)
Let a(n) = n**3 - 6*n**2 + 4*n - 77. Let v be a(7). Factor v - 1/2*y + 1/2*y**2.
y*(y - 1)/2
Let q(r) be the second derivative of 0 + 0*r**2 + 6*r + 2/3*r**3 + 5/6*r**4. Find g, given that q(g) = 0.
-2/5, 0
Let u be (-15)/25*(-16)/12. Suppose 2/5*n**4 + 6/5*n**5 + u*n - 2*n**3 + 0 - 2/5*n**2 = 0. What is n?
-1, 0, 2/3, 1
Let f(r) = -2*r**3 - 3*r**2 + r + 2. Let d be f(-2). Suppose 0 = -d*h + 25 - 9. What is i in i**h - 1/2*i**5 - i**2 + 0*i**3 + 1/2*i + 0 = 0?
-1, 0, 1
Suppose 0 = -p + 2*z - 3, z - 2 + 5 = 2*p. Let g(h) be the first derivative of -1/12*h**4 - 1/9*h**p + 4 + 0*h + 0*h**2. Find s such that g(s) = 0.
-1, 0
Let y = 2 + 0. Factor 5*i**3 - 4*i**3 - 3*i**2 + 4*i - y*i.
i*(i - 2)*(i - 1)
Let a(b) be the second derivative of b**4/54 - 2*b**3/27 + b**2/9 - 27*b. Factor a(w).
2*(w - 1)**2/9
Let o = 13 + 9. Let z be 4/o - (-140)/77. Factor -2/5*i**3 + 2/5*i + 2/5*i**z - 2/5.
-2*(i - 1)**2*(i + 1)/5
Let -1/3*m**3 + 1/3*m + 0 + 1/3*m**4 - 1/3*m**2 = 0. What is m?
-1, 0, 1
Let m be (-11)/(-5) + (-14)/70. Let o(k) be the second derivative of 1/80*k**5 + 1/8*k**3 + 2*k + 1/8*k**m + 1/16*k**4 + 0. Factor o(j).
(j + 1)**3/4
Let u = 31 - 29. Let 8/5 - 16/5*w + 2*w**3 - 14/5*w**u = 0. What is w?
-1, 2/5, 2
Let n(u) be the third derivative of 0*u**5 - 1/1176*u**8 + 0*u + 4*u**2 + 0*u**3 - 2/735*u**7 + 0 - 1/420*u**6 + 0*u**4. Factor n(a).
-2*a**3*(a + 1)**2/7
Let i(l) be the third derivative of -l**6/24 - l**5/12 + 5*l**4/24 + 5*l**3/6 - 2*l**2. Find t such that i(t) = 0.
-1, 1
Let b(l) be the third derivative of l**11/1164240 + l**10/264600 + l**9/211680 - 2*l**5/15 - 8*l**2. Let i(z) be the third derivative of b(z). Factor i(c).
2*c**3*(c + 1)**2/7
Let p(v) = v + 10. Let x be p(-7). Determine d, given that 2 - 4*d - 7 - d**2 - 2 + x = 0.
-2
Let x(s) be the second derivative of -s**5/35 + s**4/21 + 10*s**3/21 + 6*s**2/7 - 10*s. Find w such that x(w) = 0.
-1, 3
Let b(s) be the first derivative of -s**6/36 - s**5/30 + s**4/24 + s**3/18 - 4. Factor b(k).
-k**2*(k - 1)*(k + 1)**2/6
Let u(f) = f**2 + f + 2. Let g = 27 - 25. Let j(n) = -2*n**2 - 3*n - 5. Let z(d) = g*j(d) + 5*u(d). Factor z(c).
c*(c - 1)
Factor 0 + 0*s - 6/7*s**3 + 2/7*s**4 - 8/7*s**2.
2*s**2*(s - 4)*(s + 1)/7
Let l(q) be the first derivative of -q**4/32 + q**3/8 - q/2 + 20. Suppose l(s) = 0. Calculate s.
-1, 2
Let k(v) be the third derivative of -v**5/70 + v**4/7 - 3*v**3/7 + 36*v**2. Factor k(r).
-6*(r - 3)*(r - 1)/7
Let a(r) be the third derivative of -r**9/8400 - r**8/1600 - r**7/840 - r**6/1200 + r**4/24 + 5*r**2. Let q(t) be the second derivative of a(t). Factor q(l).
-3*l*(l + 1)**2*(3*l + 1)/5
Let u(n) be the thi