 + 6*l**2 + 5. Let f be i(6). Factor 0*o**3 - 2*o**4 + 0*o**3 - 2*o**f.
-2*o**4*(o + 1)
Factor -4/13 + 10/13*f + 6/13*f**2.
2*(f + 2)*(3*f - 1)/13
Let p(h) = h**3 + 3*h**2 - 2*h - 2. Let q(c) = 1 + 3*c**2 + 0 - 4*c**2. Suppose -4*g - 12 = 5*j + 2, -4*g = j + 6. Let d(i) = g*p(i) - 2*q(i). Factor d(y).
-y*(y - 1)*(y + 2)
Let l(y) = -4*y**2 - 52*y + 96*y**3 - 1 - 7 - 11*y**2 - 17*y**3. Let b(m) = 78*m**3 - 15*m**2 - 51*m - 9. Let r(g) = -4*b(g) + 3*l(g). Factor r(f).
-3*(f - 1)*(5*f + 2)**2
Let n(d) = -4*d**2 - 2. Let o(c) = 0 + 2 + 7*c**2 + 2 + 0*c**2. Let y(b) = 11*n(b) + 6*o(b). Factor y(k).
-2*(k - 1)*(k + 1)
Factor 2/3*i**2 + 0*i + 0.
2*i**2/3
Let v be (3/5)/((-3)/(-15)). Factor 2*n**2 + 3*n**v - n**5 - 43*n + 43*n.
-n**2*(n - 2)*(n + 1)**2
Let w be 5/(210/(-7)) + (-14)/(-36). Factor 2/9*t**2 + 0 + w*t**3 + 0*t - 2/9*t**5 - 2/9*t**4.
-2*t**2*(t - 1)*(t + 1)**2/9
Let k(i) = -2*i**3 - 4*i**2 + 8*i - 2. Let g(z) = -z**3 - 4*z**2 + 7*z - 2. Let r(o) = -3*g(o) + 2*k(o). Factor r(m).
-(m - 2)*(m - 1)**2
Suppose w = -4*w + 10. Find d such that 4/7*d**3 + 16/7*d**2 - 8/7*d**5 - 2/7 + 4/7*d - w*d**4 = 0.
-1, 1/4, 1
Let n(f) = f**2 - 7*f. Let w(a) = a**2 + 8 + 8 - a - 16. Let s(j) = n(j) - 3*w(j). Factor s(v).
-2*v*(v + 2)
Let q(p) be the first derivative of 4*p**3/3 + 8*p**2 + 16*p + 10. Factor q(r).
4*(r + 2)**2
Let l(t) = -3*t**2 - 2*t - 1. Let d be l(-1). Let x be (-1 - -11)*(-1)/d. Factor -q**4 - x*q**2 + q + 3*q**4 + q**5 - 2*q**5 + 3*q**2.
-q*(q - 1)**3*(q + 1)
Let f(n) = -8*n**4 + 2*n**3 + 8*n**2 - 8*n - 6. Let a(r) = -24*r + r**2 + 25*r + 1 - 2*r**2 + r**4. Let i(w) = -6*a(w) - f(w). Find d, given that i(d) = 0.
-1, 0, 1
Factor 124 - 108 - 10*d + 4*d**2 - 6*d.
4*(d - 2)**2
Let a(c) be the third derivative of c**7/420 + 7*c**6/240 + c**5/8 + 3*c**4/16 + 16*c**2. Factor a(q).
q*(q + 1)*(q + 3)**2/2
Let k be (-4)/(0 - 4)*1. Let q(b) be the first derivative of -3/7*b**2 + 4/7*b - k + 2/21*b**3. Factor q(t).
2*(t - 2)*(t - 1)/7
Let a(b) = b + 13. Let m be a(-8). Suppose m*y = -0*y + 15. Solve -2/9*g**y - 2/3*g + 2/3*g**2 + 2/9 = 0 for g.
1
Let l be 12/(-14)*(7 - 1078/126). Find a such that -2/3*a + 2*a**3 + 8/3*a**2 - l = 0.
-1, 2/3
Let o(z) be the third derivative of -z**6/180 + z**5/9 - 6*z**2. Factor o(d).
-2*d**2*(d - 10)/3
Let t(d) be the first derivative of -d**5/5 - 3*d**4/4 + 2. Factor t(y).
-y**3*(y + 3)
Let q be 0*(-1)/3*5/10. Find s, given that s**4 + s**3 + 0 + 1/3*s**2 + q*s + 1/3*s**5 = 0.
-1, 0
Suppose 0 = -g + 5. Suppose 0 = 4*u - g*u + 4. Find d, given that 0 + 1/5*d**u + 2/5*d**2 + 0*d + 3/5*d**3 = 0.
-2, -1, 0
Let r be (2 - 11)*28/(-63). Let c(t) be the second derivative of 3/40*t**5 + 1/8*t**4 + 0*t**3 - r*t + 0 + 0*t**2. Factor c(n).
3*n**2*(n + 1)/2
Let l(q) be the third derivative of -q**9/332640 - q**5/20 + 3*q**2. Let f(k) be the third derivative of l(k). Factor f(p).
-2*p**3/11
Let u(h) be the first derivative of -h**5/30 + h**4/9 + h**3/9 - 2*h**2/3 - 7*h - 6. Let i(v) be the first derivative of u(v). Suppose i(s) = 0. Calculate s.
-1, 1, 2
Let z(a) be the third derivative of a**7/840 + a**6/120 + a**5/40 + a**4/24 + a**3/24 - 2*a**2. Factor z(i).
(i + 1)**4/4
Let b(z) = -2*z + 4. Let w(o) = -4*o + 9. Let d(c) = -5*b(c) + 2*w(c). Let f be d(2). Find n such that f*n**2 + 5*n - 2*n + 4 + n - 2 = 0.
-1
Let y be (-2 - 0) + (-6 - -3) + 9. Let q(d) be the third derivative of -1/40*d**5 + 1/12*d**3 + 3*d**2 + 1/24*d**y + 0*d + 0. Find t, given that q(t) = 0.
-1/3, 1
Let s(m) = 5*m**4 + 6*m**3 - 4*m**2 - 10*m - 5. Let x(g) = 5*g**4 + 6*g**3 - 4*g**2 - 11*g - 6. Let b(t) = -5*s(t) + 4*x(t). What is r in b(r) = 0?
-1, -1/5, 1
Let q = 8 - 5. Let t(h) = -h. Let n(d) = d**3 - 8*d - 2. Let v(k) = q*n(k) - 15*t(k). Factor v(i).
3*(i - 2)*(i + 1)**2
Let t(u) = -9*u**4 + 3*u**3 + 9*u**2 + 3. Let w(q) = -q**2 + q**4 + q**3 - 5*q**3 - 1 + q**5 - q + 4*q**3 - q**3. Let o(c) = t(c) + 3*w(c). Factor o(b).
3*b*(b - 1)**3*(b + 1)
Suppose -4/5*u**2 + 0 + 8/5*u = 0. Calculate u.
0, 2
Factor -7/5*i**3 - 9/5*i**2 - 1/5 - i - 2/5*i**4.
-(i + 1)**3*(2*i + 1)/5
Let f be (6 + -3)*((-7)/(-3) - 1). Find m such that -2/9*m**f + 2/9*m**2 - 2/9*m**3 + 2/9*m + 0 = 0.
-1, 0, 1
Let g be (-6)/(-18) + (-5)/15. Factor -3/2*n**4 + 3*n**2 + g*n - 3/2 + 0*n**3.
-3*(n - 1)**2*(n + 1)**2/2
Let j(m) be the second derivative of -m**10/151200 + m**8/16800 - m**6/3600 + 5*m**4/12 + 7*m. Let o(b) be the third derivative of j(b). Solve o(d) = 0 for d.
-1, 0, 1
Let i(o) be the second derivative of o**4/3 - 10*o**3/3 + 8*o**2 - 31*o. Find a, given that i(a) = 0.
1, 4
Let s be (3 - -1)/8*6. Factor -1 - p**s + 4*p + 2*p**2 + 0*p**3 - 7 + 0*p.
-(p - 2)**2*(p + 2)
Let y(b) = 2*b - 3*b + 3*b - 2 - b. Let n be y(5). Find z, given that -2 + 11*z - 2*z + n*z**3 + 3*z**3 - 12*z**2 - z**3 = 0.
2/5, 1
Let v(p) be the third derivative of p**5/30 - p**4 + 12*p**3 + 7*p**2. Find d such that v(d) = 0.
6
Let s(y) be the first derivative of 5*y**6/2 - 18*y**5/5 - 27*y**4/5 - 8*y**3/5 - 3. Let s(p) = 0. Calculate p.
-2/5, 0, 2
Let m(x) = -3*x**2 + 19*x - 5. Let c(r) = 5*r**2 + 6*r + 4. Let j(b) = 4*b**2 + 6*b + 3. Let a(q) = -5*c(q) + 6*j(q). Let z(y) = -7*a(y) + 2*m(y). Factor z(t).
(t - 2)**2
Let l = 41/114 - 1/38. Let x**3 - l + 1/3*x**2 - x = 0. Calculate x.
-1, -1/3, 1
Let f(v) be the second derivative of -v**6/30 + v**5/4 - 3*v**4/4 + 7*v**3/6 - v**2 - 9*v. Solve f(z) = 0 for z.
1, 2
Let q(g) be the third derivative of -g**5/20 - g**4/2 + 14*g**2. What is u in q(u) = 0?
-4, 0
Let j(p) be the first derivative of 3 + 0*p**2 - 1/9*p**3 + 0*p. Factor j(i).
-i**2/3
Let m(n) be the third derivative of -n**7/3780 - n**6/540 - n**5/180 + 5*n**4/24 + 3*n**2. Let f(j) be the second derivative of m(j). Solve f(q) = 0 for q.
-1
Let t be (-2)/10*(-120)/48. What is r in -1 + 3/2*r + r**2 + t*r**5 - 2*r**3 + 0*r**4 = 0?
-2, -1, 1
Solve 0*r + 2/7*r**3 - 8/7 + 6/7*r**2 = 0.
-2, 1
Solve -6*w**3 + 3*w**5 + 0*w**2 - 93*w + 49*w + 3*w**4 + 47*w - 6*w**2 + 3 = 0 for w.
-1, 1
Let d(y) be the second derivative of 0*y**3 + y + 1/120*y**6 + 1/48*y**4 + 1/40*y**5 + 0 + 0*y**2. Suppose d(h) = 0. What is h?
-1, 0
Solve -5*f**3 + 7*f**2 - f**2 - 4*f**3 + 3*f**4 = 0 for f.
0, 1, 2
Let z(g) = g**2 - 14*g - 11. Let u be z(15). Let s be (-3)/14*u/(-3). Factor 10/7*m**4 + 20/7*m**2 + 2/7*m**5 + 10/7*m + 20/7*m**3 + s.
2*(m + 1)**5/7
Let s(g) = 5*g**2 + 6*g - 11. Let a(q) = -q**2 - q + 1. Let y be a(3). Let v(l) = -l**2 - l + 2. Let t(f) = y*v(f) - 2*s(f). Find d such that t(d) = 0.
0, 1
Let n(v) be the first derivative of -1 - 2/9*v**3 - 2/9*v - 1/3*v**2 - 1/18*v**4. Find g such that n(g) = 0.
-1
Factor -4/5*m - 4/5*m**3 + 0 - 8/5*m**2.
-4*m*(m + 1)**2/5
Let 18/5*w**4 + 0 + 2*w**2 - 4/5*w + 32/5*w**3 = 0. What is w?
-1, 0, 2/9
Let f = -36 + 40. Let z(s) be the third derivative of -1/30*s**5 - 1/6*s**3 + 0*s + 0 - 5/48*s**f - 1/240*s**6 - 2*s**2. Solve z(g) = 0 for g.
-2, -1
Suppose 3*i + 0*i + 12 = 2*r, -4*i = -4*r + 32. Suppose -g - r = -5*g. Factor 1/3*b + b**g - b**2 - 1/3*b**4 + 0.
-b*(b - 1)**3/3
Suppose -m = -4 + 2. Suppose 0 = j - 7 + m. Find q such that -1 - 5*q - 2*q**5 - 3*q**5 - 10*q**2 + 4*q**5 - j*q**4 - 10*q**3 = 0.
-1
Suppose 3*r = -4*b - 2*r + 16, r + 16 = 4*b. Suppose 0*h + 2*h**4 - 4*h**3 + 2*h**5 + 3*h - h - b*h**2 + 2 = 0. Calculate h.
-1, 1
Let z(x) be the first derivative of x**7/126 + x**6/90 - x**5/60 - x**4/36 + 4*x + 1. Let u(t) be the first derivative of z(t). Factor u(m).
m**2*(m - 1)*(m + 1)**2/3
Let m(n) = -29*n + 234. Let g be m(8). Let u = -22/15 + 9/5. Factor 0 - 1/3*p**g - u*p**3 + 0*p.
-p**2*(p + 1)/3
Solve 3*c**2 - 10*c**5 - 17*c**4 + 9*c**2 - 5*c**5 + 24*c**3 - 4*c**4 = 0 for c.
-2, -2/5, 0, 1
Suppose -5*n + 5*u = 2 + 23, 5*n = u - 17. Let c be 1*(-2 - -1) - n. Factor 1/4*y - 1/4*y**c + 0.
-y*(y - 1)/4
Let n = 74 + -68. Let c(s) be the second derivative of 0*s**3 - 1/120*s**n + 2*s + 0*s**2 + 0*s**5 + 1/48*s**4 + 0. Find b, given that c(b) = 0.
-1, 0, 1
Suppose -13 = 2*f + 7. Let i = f + 54/5. Factor -i - 1/5*q**2 + 4/5*q.
-(q - 2)**2/5
Let f be -2*2/(-4) + 0. Let q be 2/(-4)*(-2 - 4). Factor -f - 5*a**3 + a**2 + 2*a + 4*a**q - a.
-(a - 1)**2*(a + 1)
Let g(p) be the second derivative of p**9/4536 + p**8/840 + p**7/420 + p**6/540 - p**3/6 - 3*p. Let f(v) be the second derivative o