 j be (-6)/(-8) + 125/100. Let -1/4*p**j - 1/2*p - 1/4 = 0. Calculate p.
-1
Let r(y) be the third derivative of y**10/52920 + y**9/52920 - y**8/23520 + y**4/6 + 4*y**2. Let f(i) be the second derivative of r(i). Factor f(t).
2*t**3*(t + 1)*(2*t - 1)/7
Let d(c) be the third derivative of -4/3*c**3 - 1/30*c**5 - 1/3*c**4 + 0*c - 4*c**2 + 0. Determine w, given that d(w) = 0.
-2
Let n be 1*(0 + 1)*20/40. Factor 1/2 + n*l**2 - l.
(l - 1)**2/2
Let a(g) = g**4 - g**3 - 5*g**2 - 3*g + 3. Let b(u) = 2*u**4 - 4*u**3 - 14*u**2 - 8*u + 8. Let y(h) = -8*a(h) + 3*b(h). Find k, given that y(k) = 0.
-1, 0
Suppose 0*b - 5 = 5*b. Let x be b/4 - (-36)/16. Factor 6/7*t**x + 6/7*t + 2/7 + 2/7*t**3.
2*(t + 1)**3/7
Let v(i) be the third derivative of -i**4/8 - 5*i**3/3 - 15*i**2. Let f be v(-4). Factor -4/3*a + 1/3*a**f + 1.
(a - 3)*(a - 1)/3
Suppose -u = -4, 0*n - n - u + 7 = 0. Factor -1 + 3*k**4 - 29*k**3 + 23*k**3 + n*k**2 + 1.
3*k**2*(k - 1)**2
Let y(s) be the second derivative of -s**10/151200 - s**9/37800 - 5*s**4/12 - 8*s. Let v(j) be the third derivative of y(j). Factor v(k).
-k**4*(k + 2)/5
Let t(i) = 2*i**5 + 9*i**4 - 9*i**3 - 16*i**2 - 7. Let r(l) = 7*l**2 - 15*l**2 - 5 + 6*l**4 - 3*l**2 - 6*l**3 + l**5. Let b(m) = -7*r(m) + 5*t(m). Factor b(y).
3*y**2*(y - 1)*(y + 1)**2
Suppose 2*g = -2*g + 20. Determine j, given that -4*j + g*j**4 - j**4 + 3*j - 3*j**2 = 0.
-1/2, 0, 1
Factor -41*c**3 + 15*c**2 + 22*c**3 + 10*c + 24*c**3.
5*c*(c + 1)*(c + 2)
Let a(j) be the second derivative of 0 - 1/24*j**3 - 1/48*j**4 + 1/80*j**5 - 5*j + 1/8*j**2. Factor a(o).
(o - 1)**2*(o + 1)/4
Let n(a) be the first derivative of -2*a**5/5 + a**4/6 + 4*a**3/3 - a**2 + 2*a + 3. Let i(v) be the first derivative of n(v). Find y such that i(y) = 0.
-1, 1/4, 1
Let r(x) be the second derivative of x**4/42 + 2*x**3/21 - 3*x**2/7 - x. Solve r(y) = 0 for y.
-3, 1
Let a(g) be the first derivative of 2/9*g**3 + 2 + 0*g + 1/3*g**2. Let a(d) = 0. What is d?
-1, 0
Let d(m) be the second derivative of m**6/10 - m**4/2 + 3*m**2/2 - 9*m. Factor d(k).
3*(k - 1)**2*(k + 1)**2
Let u(h) = -h - 5. Let v(d) = -4*d - 20. Let x(t) = 26*u(t) - 6*v(t). Let s be x(-7). Factor 4/3*o + 0*o**2 - 2/3*o**s + 2/3 - 4/3*o**3.
-2*(o - 1)*(o + 1)**3/3
Let v(c) be the first derivative of c**6/60 - 3*c**5/40 + c**4/8 - c**3/12 + c**2 - 1. Let n(f) be the second derivative of v(f). Solve n(p) = 0.
1/4, 1
Suppose -1/10*b**5 + 7/10*b**2 - 9/10*b**3 + 0 + 1/2*b**4 - 1/5*b = 0. Calculate b.
0, 1, 2
Suppose 0 = -3*a + 2*h + 12, 3*a + h = -h. Factor 2 + 4*u - 4*u**a + 2*u**2 + 4*u**2.
2*(u + 1)**2
Factor 32/3*p**3 + 32/15 + 16/5*p**2 - 128/15*p + 10/3*p**4.
2*(p + 2)**2*(5*p - 2)**2/15
Find n such that 2*n + 4/3*n**2 + 2/3 = 0.
-1, -1/2
Let v(f) be the first derivative of -1/10*f**4 + 0*f + 3 + 2/5*f**3 - 2/5*f**2. Solve v(w) = 0 for w.
0, 1, 2
Let -18*a**2 - 37*a + 49*a + 3*a**3 + 6*a**2 = 0. What is a?
0, 2
Factor 2/13*z**3 + 0*z + 0 - 4/13*z**2.
2*z**2*(z - 2)/13
Solve 0 + 0*n + 10/3*n**3 + 1/3*n**2 + 25/3*n**4 = 0.
-1/5, 0
Let u be 4*((-135)/50 + 3). Factor u*t**2 + 9/5*t**4 + 0*t + 0 - 3*t**3.
3*t**2*(t - 1)*(3*t - 2)/5
Let z be 0/4 + 1 + 4. Factor t**z + 11/3*t**4 + 2*t**2 - 1/3*t - 1/3 + 14/3*t**3.
(t + 1)**4*(3*t - 1)/3
Let m(y) = -y**5 + 9*y**4 - 11*y**3 - 8*y**2 + 12*y - 1. Let l(t) = -4*t**5 + 28*t**4 - 32*t**3 - 24*t**2 + 36*t - 4. Let b(g) = -3*l(g) + 8*m(g). Factor b(q).
4*(q - 1)**4*(q + 1)
Suppose -4*l + 22 = 6. Let m(k) be the first derivative of -1/5*k**5 + 2 - k**3 + 0*k + 3/4*k**l + 1/2*k**2. Factor m(w).
-w*(w - 1)**3
Let u(o) be the first derivative of 2*o**5/25 + 3*o**4/10 - 2*o**3/15 - 3*o**2/5 - 8. Solve u(j) = 0.
-3, -1, 0, 1
Let v(i) = i**4 + i**3 + i**2 + i + 1. Let n(o) = 3*o**4 + 4*o**3 + 3*o**2 + 2*o + 2. Let j(s) = -5*n(s) + 10*v(s). Factor j(q).
-5*q**2*(q + 1)**2
Suppose -5*i + 21 - 11 = 0. What is l in -1/2*l + 0 - l**i = 0?
-1/2, 0
Let v(c) = -22*c**3 + 42*c**2 - 18*c - 2. Let f(l) = 9*l**3 - 17*l**2 + 7*l + 1. Let u(d) = 12*f(d) + 5*v(d). Factor u(n).
-2*(n - 1)**3
Let k(v) be the second derivative of v**7/14 - v**6/10 - 3*v**5/10 + v**4/2 + v**3/2 - 3*v**2/2 + v. Factor k(r).
3*(r - 1)**3*(r + 1)**2
Suppose 4*z + 0 - 4 = -3*v, 0 = 4*v + z - 1. Suppose 4*q - 2 + q**3 - 5*q**3 + v*q**3 + 2*q**4 = 0. Calculate q.
-1, 1
Let v be (-2)/(-6) + 2/18. Suppose 5*o = 4*l + 8, 5*o + l = 3*o - 2. Factor o + v*u + 2/3*u**2.
2*u*(3*u + 2)/9
Let w = 54 + -52. Suppose 2/7 + 0*b**w - 2/7*b**4 + 4/7*b**3 - 4/7*b = 0. What is b?
-1, 1
Factor 12/7*k**3 + 0 - 5/7*k**4 - 9/7*k**2 + 2/7*k.
-k*(k - 1)**2*(5*k - 2)/7
Factor 41*b**4 + 50*b**4 - 48*b**3 - 16*b**5 - 31*b**4 - 16*b**2.
-4*b**2*(b - 2)**2*(4*b + 1)
Determine o so that 3*o**3 + 14*o - 2*o + 15*o**2 + 9 + 9*o = 0.
-3, -1
Let z be (-126)/(-330) - 4/22. Factor 1/5*i**2 - 1/5*i**5 + 0*i + 1/5*i**3 + 0 - z*i**4.
-i**2*(i - 1)*(i + 1)**2/5
Let q(k) be the first derivative of k**6/180 - k**5/30 - 2*k**3 + 8. Let n(x) be the third derivative of q(x). Factor n(g).
2*g*(g - 2)
Let i = -3/35 - -2/7. Let u(r) be the first derivative of 2/5*r + 1 + i*r**2 - 1/10*r**4 - 2/15*r**3. Factor u(z).
-2*(z - 1)*(z + 1)**2/5
Let n(i) = -i**3 - i**2 - 1. Let k(w) = 92*w**3 + 148*w**2 + 64*w + 2. Suppose -12 = 2*a - 0*a. Let j(q) = a*n(q) + k(q). Factor j(m).
2*(m + 1)*(7*m + 2)**2
Suppose -u = -3*u + 16. Suppose 2*v = 2*y, v + 0*v = -3*y + u. Suppose 0*q + q - 5*q**2 + 4*q**v = 0. What is q?
0, 1
What is z in -9*z**2 + 5 + 3*z**2 - 3*z**3 + 2*z**3 - 12*z - 13 = 0?
-2
Suppose -16/3 + 0*g + 1/6*g**3 + g**2 = 0. Calculate g.
-4, 2
Let r(k) be the third derivative of -k**8/1512 - 4*k**7/945 - k**6/90 - 2*k**5/135 - k**4/108 - 4*k**2. Factor r(o).
-2*o*(o + 1)**4/9
Let k be (-8)/(-10)*(-5)/(-2). Let z(r) be the first derivative of r**3 - k + 0*r - r**2 + 5/4*r**4. Solve z(h) = 0 for h.
-1, 0, 2/5
Let j(k) be the second derivative of k**7/42 + k**6/30 - 3*k**5/20 - k**4/12 + k**3/3 + 2*k. Factor j(l).
l*(l - 1)**2*(l + 1)*(l + 2)
Let t(z) be the first derivative of -1/4*z + 2 - 1/8*z**4 + 1/4*z**2 + 1/12*z**3. Suppose t(j) = 0. Calculate j.
-1, 1/2, 1
Let m(t) = t - 8. Let k be m(11). Let l(d) be the second derivative of -3*d + 0*d**2 + 0*d**k + 0 + 1/6*d**4. Solve l(z) = 0 for z.
0
Let r(f) be the first derivative of -2*f - f**2 + 2/3*f**3 - 5 + 1/2*f**4. Find y, given that r(y) = 0.
-1, 1
Let y(i) = -i**4 + i**3. Let x = -6 + 5. Let s(a) = -2*a**4 + 2*a**3. Let f(h) = x*s(h) - y(h). Factor f(v).
3*v**3*(v - 1)
Let z(j) be the first derivative of -3/2*j**2 + 1/3*j**3 + 2*j - 3. Factor z(a).
(a - 2)*(a - 1)
Let l(h) be the first derivative of -h**4/12 - h**3/6 + 3*h + 1. Let m(g) be the first derivative of l(g). Let m(u) = 0. What is u?
-1, 0
Suppose -3*c + 3*j + 6 = 0, 4*c = 3*j + 14 - 5. Suppose -2/7*f**c + 0 + 0*f + 2/7*f**4 + 0*f**2 = 0. Calculate f.
0, 1
Suppose -2*n - 1 + 5 = 0. Find m such that -2*m**2 + 2*m**2 + 3*m**3 - m**3 + 6*m**n = 0.
-3, 0
Let m(p) = 2*p**4 + 6*p**3 + 2*p**2 + 2. Let j(a) = -a**3 - 1. Suppose 3*x = -6 - 0. Let d(c) = x*j(c) - m(c). Suppose d(o) = 0. What is o?
-1, 0
Let j = -30 + 28. Let s = -9/5 - j. Find w, given that -2/5*w**2 - s*w + 2/5*w**3 + 1/5*w**4 - 1/5*w**5 + 1/5 = 0.
-1, 1
Let s(a) be the first derivative of a**6/24 - 2*a**5/5 + 25*a**4/16 - 19*a**3/6 + 7*a**2/2 - 2*a - 1. Solve s(z) = 0.
1, 2
Suppose -v - 14 = -5*l, -4*l = -l - 4*v - 22. Let m(d) be the first derivative of -2/3*d**3 + 3 - 4*d**l - 8*d. What is w in m(w) = 0?
-2
Let l(s) = 54*s + 3*s**4 - 3*s**2 - 54*s. Let c(h) = -h**5 - 2*h**4 - h**3 + 4*h**2. Let f(n) = -3*c(n) - 4*l(n). Find g, given that f(g) = 0.
0, 1
Let r be 5 + 0 + 3/(-3). Factor -2*x**3 + 7*x**3 - 3*x**3 - 2*x**4 - r*x**3.
-2*x**3*(x + 1)
Let x(w) be the first derivative of 2*w**5/5 + w**4 - 2*w**2 - 2*w - 9. Factor x(p).
2*(p - 1)*(p + 1)**3
Let w(s) be the second derivative of -1/16*s**4 + 3*s - 1/80*s**5 + 0 + 0*s**2 - 1/12*s**3. Let w(i) = 0. What is i?
-2, -1, 0
Factor -3*n**4 - 6*n**3 + 49*n - 3*n**2 - 49*n.
-3*n**2*(n + 1)**2
Let m(k) = -10*k**5 + 11*k**4 - 34*k**3 + 12*k**2. Let d(q) = 7*q**5 - 7*q**4 + 23*q**3 - 8*q**2. Let a(w) = -7*d(w) - 5*m(w). Factor a(z).
z**2*(z - 4)*(z - 1)**2
Let n = -16/71 - -8000/213. Let r = -104/3 + n. Find z, given that 2/3*z**2 + r + 8/3*z = 0.
-2
Let n(l) be the secon