). Let r(z) be the third derivative of -1/40*z**5 + 0*z + 0 + 1/8*z**4 - 1/4*z**3 - 3*z**f. Factor r(p).
-3*(p - 1)**2/2
Let f(n) be the first derivative of 2/3*n**3 - 1 + 2*n**2 + 2*n. Factor f(i).
2*(i + 1)**2
Let h(z) = -z**3 - z**2 - z + 1. Let a(n) = -2*n**4 - 7*n**3 - 21*n**2 - 19*n - 13. Let i = 1 + -6. Let t(x) = i*h(x) - a(x). Solve t(c) = 0 for c.
-2, -1
Let v(y) = -3*y**2 + 2*y - 5. Let p be v(5). Let r = 212/3 + p. Determine z, given that -2/3 - 4/3*z**3 + 2/3*z + 2/3*z**5 - r*z**4 + 4/3*z**2 = 0.
-1, 1
Let h(j) be the second derivative of 4/3*j**3 + 0*j**2 - 7/2*j**5 + 2/3*j**4 + 0 - 3*j. Factor h(r).
-2*r*(5*r - 2)*(7*r + 2)
Let y(t) = 9*t - 6. Let i be y(9). Let r = 377/5 - i. Suppose 0 + 2/5*n - r*n**2 = 0. What is n?
0, 1
Let k(q) be the third derivative of 1/60*q**5 + q**2 + 0 + 0*q + 0*q**4 - 1/6*q**3. Factor k(n).
(n - 1)*(n + 1)
Factor 2/9*v**3 + 0 + 0*v**2 - 8/9*v.
2*v*(v - 2)*(v + 2)/9
Let a = 6 - 4. Determine n, given that 2*n**2 + 2*n**3 - 5*n**4 + 0*n**5 + a*n**4 - 2*n**5 + n**4 = 0.
-1, 0, 1
Let p(a) = a**3 - 9*a**2 + a - 7. Let l be p(9). Suppose 2 + l = 2*y. Factor -5*c**2 + 0*c**2 + 2*c + 4*c**2 + 0*c**y.
-c*(c - 2)
Let c(v) be the first derivative of -4*v**3/15 + 4*v**2/5 - 4*v/5 + 24. Suppose c(w) = 0. What is w?
1
Let h be (1 + -1 - -23) + 1. Let o = 73/3 - h. Find v such that 2/3*v**2 - o*v**3 + 0 + 0*v = 0.
0, 2
Let i(m) = 3*m + 7*m**3 + m**2 - m - 2*m**2 + 2*m**2. Let h(z) = 8*z**3 + 2*z**2 + 2*z. Let g(l) = -5*h(l) + 6*i(l). Factor g(r).
2*r*(r - 1)**2
Let k = -594 - -594. Factor 0*v**2 + 4/5*v**3 + 0 - 2/5*v**5 + k*v**4 - 2/5*v.
-2*v*(v - 1)**2*(v + 1)**2/5
Let t(d) = 20*d**4 + 22*d**3 - 12*d**2 - 3. Let w(m) = 20*m**4 + 22*m**3 - 12*m**2 - 2. Let g(o) = 2*t(o) - 3*w(o). Factor g(s).
-2*s**2*(2*s + 3)*(5*s - 2)
Let -2/7*q**5 + 8/7*q**3 - 4/7*q**2 + 4/7 - 6/7*q + 0*q**4 = 0. Calculate q.
-2, -1, 1
Let b(g) = -20*g**3 + 24*g**2 + 20*g - 32. Let x(d) = -7*d**3 + 8*d**2 + 7*d - 11. Let l(u) = -3*b(u) + 8*x(u). Solve l(t) = 0.
-1, 1, 2
Let q(s) = 13*s**2 - 10*s + 7. Let n(l) = -13*l**2 + 15*l + 11*l**2 - 10 - 17*l**2. Let i(b) = -5*n(b) - 7*q(b). Factor i(x).
(x - 1)*(4*x - 1)
Let c = -77/3 + 413/12. Let x = 9 - c. Factor x*l**2 + 0 + 0*l.
l**2/4
Let f = -13 + 16. Let h(p) be the first derivative of -2 + 1/16*p**4 + 1/12*p**f - 1/8*p**2 + 0*p - 1/20*p**5. Factor h(b).
-b*(b - 1)**2*(b + 1)/4
Let h = 306 + -306. Factor 1/5*d**3 + 0 + h*d**2 - 4/5*d.
d*(d - 2)*(d + 2)/5
Find x such that 12/7*x**4 - 2/7*x + 16/7*x**2 + 0 - 26/7*x**3 = 0.
0, 1/6, 1
Let i(v) be the first derivative of v**4/50 - v**2/25 - 16. What is j in i(j) = 0?
-1, 0, 1
Factor -4/15*m**4 + 0*m**3 + 0 + 2/15*m - 2/15*m**5 + 4/15*m**2.
-2*m*(m - 1)*(m + 1)**3/15
Let j(i) = i**2 + 4*i - 3. Let g be -3 + 6 + (-4 - -2). Let m be j(g). Determine b, given that 4/3*b + 2 + 2/9*b**m = 0.
-3
Let g(h) be the second derivative of 2*h**6/15 - 9*h**5/5 + 7*h**4/3 + 6*h**3 - 16*h**2 - 77*h. Suppose g(q) = 0. What is q?
-1, 1, 8
Let a(x) be the first derivative of -x**6/120 - x**5/60 + x**4/24 + x**3/6 - 3*x**2/2 + 3. Let k(q) be the second derivative of a(q). Find m such that k(m) = 0.
-1, 1
Let o(s) = -s**4 + s**3 + s. Let q(i) = -3*i**2 + 2*i + 2. Let p(c) = -5*o(c) + 5*q(c). Factor p(u).
5*(u - 2)*(u - 1)*(u + 1)**2
Let d(a) be the second derivative of -a**6/15 - 3*a**5/7 - a**4/42 + 10*a**3/7 + 8*a**2/7 + 9*a. Determine n, given that d(n) = 0.
-4, -1, -2/7, 1
Let m(h) be the first derivative of h**6/90 - h**5/30 - h**4/36 + h**3/9 - 2*h + 4. Let j(c) be the first derivative of m(c). Factor j(b).
b*(b - 2)*(b - 1)*(b + 1)/3
Factor 0*d**2 - 1/6*d**3 - 1/3*d**4 + 0 - 1/6*d**5 + 0*d.
-d**3*(d + 1)**2/6
Let w = 35 - 31. Determine l so that 0*l**w + 2/7*l**5 + 0*l**2 + 2/7*l + 0 - 4/7*l**3 = 0.
-1, 0, 1
Let p be 152/28 - 24/(-42). Let a be (-2 + p - 0)/2. Find t, given that 2/5*t**4 + 2/5 + 0*t**3 - 4/5*t**a + 0*t = 0.
-1, 1
Let q be 3/1 - ((-140)/12)/(-5). Find i such that 2/9*i**2 - q*i + 4/9 = 0.
1, 2
Let q(z) be the third derivative of -z**8/10080 - z**7/1260 - 7*z**4/24 + 6*z**2. Let l(x) be the second derivative of q(x). Factor l(m).
-2*m**2*(m + 3)/3
Suppose 102 = 5*i + 12. Let r = i - 15. Factor 0*z**r - 1/3*z**2 + 0 + 1/3*z**4 + 0*z.
z**2*(z - 1)*(z + 1)/3
Let x = -3 + 1. Let a(y) = -17*y**3 - 19*y**2 + 26*y + 12. Let f(h) = 120*h**3 + 132*h**2 - 183*h - 84. Let r(v) = x*f(v) - 15*a(v). Let r(w) = 0. Calculate w.
-2, -2/5, 1
Let y(h) be the first derivative of h**6 - 8*h**5/5 - 2*h**4 + 4*h**3 + h**2 - 4*h - 4. Find j such that y(j) = 0.
-1, -2/3, 1
Determine p so that 1 - 1/2*p - p**4 - 3*p**2 + 7/2*p**3 = 0.
-1/2, 1, 2
Let k be (-24)/(-2*(-15)/(-174)) + -2. Factor 16/5 + 168/5*j + 588/5*j**2 + k*j**3.
2*(7*j + 2)**3/5
Let v(d) = -20*d - 6. Let r be v(7). Let j = r - -587/4. Find w, given that 1/4*w**4 - 1/4*w + 0 + j*w**2 - 3/4*w**3 = 0.
0, 1
Let h(r) = 3*r**5 - 3*r**4 - 6*r**3 + 3*r**2. Let j(o) = -3*o**5 + 3*o**4 + 5*o**3 - 3*o**2. Let c(p) = -2*h(p) - 3*j(p). Factor c(f).
3*f**2*(f - 1)**2*(f + 1)
Let b(p) = -5*p**2 - 12*p + 1. Let y(d) = 6*d**2 + 12*d. Let r(t) = -3*b(t) - 4*y(t). Factor r(l).
-3*(l + 1)*(3*l + 1)
Let r(d) be the third derivative of -d**9/30240 - d**8/10080 + d**5/15 - 4*d**2. Let s(y) be the third derivative of r(y). Factor s(j).
-2*j**2*(j + 1)
Let q(f) be the third derivative of f**5/180 + f**2. What is a in q(a) = 0?
0
Let j(t) be the second derivative of t**4/6 - 4*t**3/3 + 4*t**2 + 4*t. Factor j(c).
2*(c - 2)**2
Let y(d) be the second derivative of d**6/195 + d**5/65 + d**4/78 - 7*d. Factor y(f).
2*f**2*(f + 1)**2/13
Let j(g) = 4*g - 1 + 2 + 4*g**2 - g**2. Let l(w) = -4*w**2 - 5*w - 1. Let s(x) = -5*j(x) - 4*l(x). Factor s(d).
(d - 1)*(d + 1)
Let j(h) be the second derivative of h**8/5880 - h**7/735 + h**6/252 - h**5/210 + h**3/3 + h. Let y(n) be the second derivative of j(n). Factor y(l).
2*l*(l - 2)*(l - 1)**2/7
Let j(q) = q**2 + 4*q + 3. Let f be j(-4). Factor 2*b**3 - b**3 + b**f.
2*b**3
Let z(q) be the first derivative of -4/21*q**3 + 0*q + 6 + 0*q**2 + 1/2*q**4. Let z(j) = 0. What is j?
0, 2/7
Let f(h) be the first derivative of h**6/6 - 13*h**5/15 + 7*h**4/6 + 4*h**3/9 - 4*h**2/3 - 19. What is s in f(s) = 0?
-2/3, 0, 1, 2
Let s be (-276)/(-216) + (-2)/(-9). Let u(c) be the second derivative of 0 - s*c**2 - 1/10*c**6 + 2*c**3 - 3*c - 3/2*c**4 + 3/5*c**5. Let u(t) = 0. Calculate t.
1
Let r(b) be the second derivative of -b**7/3360 + b**6/720 + b**5/480 - b**4/48 + b**3/6 - 5*b. Let u(y) be the second derivative of r(y). Factor u(a).
-(a - 2)*(a - 1)*(a + 1)/4
Let b = -5/9 + 29/9. Let n(f) be the first derivative of 10/9*f**3 - 8/3*f + b*f**2 - 1. Solve n(t) = 0.
-2, 2/5
Let b be 0 - (0 + (2 - -1)). Let p = -1 - b. Determine m so that m - 2 - m**3 + 7*m**p + 0*m**2 + m**2 - 6*m**4 = 0.
-1, -2/3, 1/2, 1
Let k(l) = l - 4. Let p be k(4). Suppose 0*r - r - o = 0, p = 5*r + o - 8. Factor -6/5 - 3/5*i**r + 9/5*i.
-3*(i - 2)*(i - 1)/5
Let l = 5/9 + -1/18. Let z be 2/8 - (-14)/56. Solve -z + b - l*b**2 = 0 for b.
1
Let c(o) = -o**3 - 5*o**2 + 4. Let b be c(-5). Let s(w) be the first derivative of 1 - 4*w**3 + 16*w - 2/5*w**5 - 5/2*w**b + 4*w**2. Factor s(l).
-2*(l - 1)*(l + 2)**3
What is y in -6*y + 3*y**2 - 7 - 11 - 6 = 0?
-2, 4
Let p(k) be the third derivative of 31*k**5/15 - 9*k**4/4 - 2*k**3/3 + k**2. Determine r, given that p(r) = 0.
-2/31, 1/2
Let c(o) = o**3 + 3*o**2 + 2*o + 2. Let g be c(-2). Let 0*a**g - 3/2 - 3/4*a**3 + 9/4*a = 0. What is a?
-2, 1
Suppose -4*k + 0*k + 12 = 0. Let y(h) = -9*h**2 - 15*h + 3. Let t(d) = d**3 + 19*d**2 + 29*d - 5. Let j(p) = k*t(p) + 5*y(p). Find b, given that j(b) = 0.
-2, 0
Suppose -3*l = 5*z - 3*z - 20, -3*z = -2*l - 4. Let d(v) be the first derivative of 1/4*v**l - 4 - 1/3*v**3 + 0*v**2 + 0*v. Suppose d(q) = 0. What is q?
0, 1
Let z(q) = -q**3 + 5*q**2 - 5*q + 5. Let i(u) = -u**2 + u - 1. Let s(l) = -5*i(l) - z(l). Determine t so that s(t) = 0.
0
Determine n, given that -5*n**5 - 257 + 257 = 0.
0
Let m(a) be the second derivative of -a**7/21 - a**6/30 + 7*a**5/20 - a**4/12 - 5*a**3/6 + a**2 - 37*a. Find l, given that m(l) = 0.
-2, -1, 1/2, 1
Let y(b) be the second derivative of -5*b + 0*b**2 - 2/9*b**3 + 0 - 1/2*b**4. Factor y(t).
-2*t*(9*t + 2)/3
Let q(v) = -3*v**4 + 3*v**3 - 2*v*