or 1/3 - j - 1/3*j**s + j**2.
-(j - 1)**3/3
Let m(f) be the second derivative of -f**6/135 + f**5/30 - f**4/27 - 6*f. Factor m(d).
-2*d**2*(d - 2)*(d - 1)/9
Let a be 0/(3*1/(-3) + 2). Let t(z) be the second derivative of 1/4*z**5 + a*z**2 - 1/12*z**4 - 2*z - 1/3*z**3 - 1/15*z**6 + 0. Factor t(b).
-b*(b - 2)*(b - 1)*(2*b + 1)
Let d(c) be the third derivative of 5*c**8/336 + c**7/14 - 7*c**6/24 - 5*c**5/4 + 15*c**4/4 + 9*c**2. Factor d(q).
5*q*(q - 2)*(q - 1)*(q + 3)**2
Let k(s) = -s**2 + 4*s - 2. Let t be k(3). Suppose -5*z - 9 = -2*c - c, -5*c - 2*z = -15. Factor t + 1 + 6*g**3 - 4*g**c + 6*g + 6*g**2.
2*(g + 1)**3
Factor 0*u**2 + 2/3*u + 0 - 2/3*u**3.
-2*u*(u - 1)*(u + 1)/3
Let t(z) be the third derivative of 5*z**8/168 + 5*z**7/14 + 29*z**6/24 + 7*z**5/4 + 25*z**4/24 - z**2. Let t(h) = 0. Calculate h.
-5, -1, -1/2, 0
Let o(h) be the second derivative of -2*h**6/15 + 3*h**5/5 - 2*h**4/3 - 2*h. Let o(g) = 0. Calculate g.
0, 1, 2
Let r(p) = p - 2. Let z be r(2). Let u = 14 + -14. Factor -2/3*o**3 + u + z*o - 2/3*o**2.
-2*o**2*(o + 1)/3
Find s such that s - 16*s + 20*s**2 - 2*s**3 - s**3 - 2*s**3 = 0.
0, 1, 3
Let h(t) be the first derivative of 0*t**4 - 4/3*t**3 + 7 + 0*t + 1/3*t**6 + 4/5*t**5 - t**2. Factor h(v).
2*v*(v - 1)*(v + 1)**3
Let r = 11 + -5. Let j(q) be the third derivative of 0*q**3 - 1/120*q**r + 0*q**4 + 0 + 0*q - 2*q**2 + 0*q**5 - 1/210*q**7. Factor j(n).
-n**3*(n + 1)
Let y(l) be the first derivative of -l**6/24 - l**5/5 - 5*l**4/16 - l**3/6 - 6. Determine p so that y(p) = 0.
-2, -1, 0
Suppose 5*p + 3*s = -9, 0 = 18*s - 15*s + 9. Factor p*g**2 - 1/4*g**5 + 1/2*g**4 + 0 + 0*g - 1/4*g**3.
-g**3*(g - 1)**2/4
Let o(g) be the first derivative of -g**6/24 + g**5/20 + g**4/8 - g**3/6 - g**2/8 + g/4 - 6. Let o(y) = 0. What is y?
-1, 1
Let h(c) be the first derivative of 8*c**5/5 - c**4/5 - 68*c**3/15 - 12*c**2/5 + 10. Determine s so that h(s) = 0.
-1, -2/5, 0, 3/2
Let t(m) be the third derivative of m**8/6720 - m**7/2520 - m**4/6 + 4*m**2. Let c(n) be the second derivative of t(n). Factor c(p).
p**2*(p - 1)
Let z(l) be the third derivative of 1/12*l**4 + 0*l + 1/30*l**5 - 1/3*l**3 - 1/60*l**6 - 3*l**2 + 0. What is y in z(y) = 0?
-1, 1
Let j(q) be the first derivative of 5*q**3 + 33*q**2/2 + 6*q - 24. Factor j(k).
3*(k + 2)*(5*k + 1)
Let z(i) be the first derivative of 9/4*i**2 + 3/8*i**4 - 3/2*i**3 - 2 - 3/2*i. Factor z(y).
3*(y - 1)**3/2
Let w(k) = -k**3 + 15*k**2 - 2*k + 32. Let g be w(15). What is f in 0 + 0*f**3 + 0*f**g - 3/4*f**4 + 0*f = 0?
0
Factor 15*x**2 - 20*x**3 + 4 + 3 - 25*x**2 + 5*x**5 + 3 + 15*x.
5*(x - 2)*(x - 1)*(x + 1)**3
Let f(b) be the third derivative of b**7/3360 - b**6/1440 - b**3/6 - b**2. Let z(t) be the first derivative of f(t). Factor z(h).
h**2*(h - 1)/4
Suppose 35*z - 12*z - 92 = 0. Factor 1/8*d**2 - 1/8*d**z + 0 - 1/8*d**5 + 0*d + 1/8*d**3.
-d**2*(d - 1)*(d + 1)**2/8
Let u(t) be the first derivative of -2*t**6/3 + 4*t**5/5 + 3*t**4 - 20*t**3/3 + 4*t**2 - 1. Factor u(k).
-4*k*(k - 1)**3*(k + 2)
Let w(j) = -10*j**4 - 12*j**3 + 2*j**2 + 4*j. Let v(x) = -x**5 + 10*x**4 + 13*x**3 - 3*x**2 - 5*x. Let o(q) = -4*v(q) - 5*w(q). Find h such that o(h) = 0.
-1, -1/2, 0
Let r be 0 + -3 - (14497/(-252))/19. Let d(u) be the second derivative of -4*u + r*u**4 + 0 + 0*u**2 + 0*u**3. What is g in d(g) = 0?
0
Let a be 3/18 - (-3)/9. Let q = 236/95 + 3/190. Factor 9/2*k**2 + q*k**3 + 7/2*k + a*k**4 + 1.
(k + 1)**3*(k + 2)/2
Let f(a) = 6*a**5 - 20*a**4 + 2*a**3 + 8*a**2 - 4*a - 4. Let u(c) = -c**5 - c**4 + c**2 - c - 1. Let n(b) = f(b) - 4*u(b). Factor n(m).
2*m**2*(m - 1)**2*(5*m + 2)
Let p be (-3)/(-3) + (-2)/(-4). Let 1 - p*v + 1/2*v**2 = 0. Calculate v.
1, 2
Suppose -3*z = y + 6 + 1, -19 = -2*y + 5*z. Determine s, given that -8*s**2 - 8*s**2 + s**3 + 2 + 10*s**2 + 2*s**4 + 3*s - y*s = 0.
-2, -1/2, 1
Let p(s) be the second derivative of 1/10*s**5 + s**3 + s**2 + 0 - 2*s + 1/2*s**4. Factor p(a).
2*(a + 1)**3
Suppose 2*v - 18 = -3*s, -4*v + 4*s = -9*v + 31. Suppose -2*i**3 + 11*i**4 + v*i**2 - i - 10*i**4 - i**3 = 0. What is i?
0, 1
Let k(n) = 4*n**4 + 4*n**3 - 4*n**2 - 2*n - 2. Let a(t) = -17*t**4 - 17*t**3 + 16*t**2 + 9*t + 9. Let f(b) = -2*a(b) - 9*k(b). Suppose f(c) = 0. What is c?
-2, 0, 1
Factor 0*h**2 + 10*h**5 - 9*h**5 + 4 + 7*h**3 - 5*h**4 + 2*h**2 - h**2 - 8*h.
(h - 2)**2*(h - 1)**2*(h + 1)
Let r(a) = -a**5 + a**4 - a**2 - a. Let o(i) = -6*i**5 + 11*i**4 + 5*i**3 - 5*i**2 - 7*i. Let f(c) = -5*o(c) + 35*r(c). Factor f(j).
-5*j**2*(j + 1)**2*(j + 2)
Let m = -21 + 21. Let t(n) be the first derivative of -8/33*n**3 - 8/55*n**5 + m*n + 1/11*n**2 + 1 + 1/33*n**6 + 3/11*n**4. Solve t(c) = 0 for c.
0, 1
Factor 70/3*s + 76/3*s**2 + 4 + 6*s**3.
2*(s + 1)*(s + 3)*(9*s + 2)/3
Let c(q) be the third derivative of -2*q**2 + 0*q + 1/12*q**4 - 1/360*q**6 + 0 + 1/2*q**3 + 1/120*q**5. Let r(g) be the first derivative of c(g). Factor r(v).
-(v - 2)*(v + 1)
Let h(p) = -p**2 - p + 74. Let f be h(-9). Determine x so that 2 - 5/2*x**3 + 6*x + 3/2*x**f = 0.
-1, -2/5, 2
Suppose -5*f + 5*j - 10 = 0, -5*j + 2 = 5*f - 28. Factor -4*q - 4*q**5 - 7*q**4 + q**f - 2*q**3 + 4*q.
-q**2*(q + 1)**2*(4*q - 1)
Let u(g) be the third derivative of g**6/240 + g**5/15 - g**4/48 - 2*g**3/3 + 51*g**2. Factor u(b).
(b - 1)*(b + 1)*(b + 8)/2
Let i be -2*3/(-2)*-3. Let u(k) = -k**2 - 8*k + 11. Let h be u(i). Factor 0*a**3 - h*a**4 + 2*a**2 + 0*a**3.
-2*a**2*(a - 1)*(a + 1)
Let s(k) = -2*k**3 - 2*k**2 + 2*k - 6. Let x = -3 - -7. Let t(b) = 0*b + 3*b**2 + 0 + b**3 + 5 - 3*b. Let l(m) = x*t(m) + 3*s(m). Factor l(d).
-2*(d - 1)**3
Let c(a) be the second derivative of 0*a**3 - 1/28*a**4 + 1/70*a**6 + 0 - 3/70*a**5 + 1/49*a**7 + 0*a**2 - 3*a. Determine h, given that c(h) = 0.
-1, -1/2, 0, 1
Factor 8/9*g - 2/3*g**3 + 0 - 8/9*g**2.
-2*g*(g + 2)*(3*g - 2)/9
Let g(c) be the third derivative of -c**8/336 - c**7/210 + c**6/120 + c**5/60 - 2*c**2. Factor g(i).
-i**2*(i - 1)*(i + 1)**2
Let t(w) be the second derivative of 0 + 1/2*w**6 - 1/2*w**4 + 0*w**3 - 9/20*w**5 + 0*w**2 - 9*w. Solve t(v) = 0 for v.
-2/5, 0, 1
Factor -18*g**4 + 37*g**3 + 8*g**5 - 25*g**3 - 14*g**2 + 12*g**2.
2*g**2*(g - 1)**2*(4*g - 1)
Suppose 5*i - 36 = 4*s - 8*s, -5*s + 4 = -4*i. Let l be i/6*-1*-3. What is j in -3*j - j**3 + j + 0*j + l + 5*j = 0?
-1, 2
Let y be 4 + (-4)/(2 - 0). Determine j so that -2*j**5 + y*j**2 + 1 + 6*j**5 - 3*j**5 - 3*j**4 - 3*j + 2*j**3 = 0.
-1, 1
Let q(j) = -5*j**2 - 7*j - 2. Let v(n) = n**2 + n. Let z be 2/2 - (-1 + 4). Let r(m) = z*q(m) - 4*v(m). Factor r(c).
2*(c + 1)*(3*c + 2)
Let u = -11/48 - -557/336. Solve u*c**3 + 8/7*c + 16/7*c**2 + 0 + 2/7*c**4 = 0 for c.
-2, -1, 0
Let y = -7 + 9. Determine b so that -1 + 8*b**2 + 1 - 9*b**3 - 4*b + 4*b**y = 0.
0, 2/3
Let u(i) = -i**2 - 7*i - 7. Let m(w) = w**2 + 8*w + 8. Let l(g) = 3*m(g) + 4*u(g). Let d be l(-2). Factor -1/3*o**4 + d + 2/3*o**2 + 0*o + 1/3*o**3.
-o**2*(o - 2)*(o + 1)/3
Suppose -91*o = -94*o + 3. Let t(r) be the first derivative of -o + 0*r**2 + 0*r - 2/3*r**3. Factor t(f).
-2*f**2
Suppose -2*w = 46 + 98. Let h be (6/63)/((-3)/w). Suppose 32/7*p**3 - h*p**2 - 2/7 - 2*p = 0. Calculate p.
-1/4, 1
Let a(p) be the first derivative of 2*p**5/15 + 5*p**4/6 - 2*p**3/9 - 5*p**2/3 + 62. Suppose a(h) = 0. What is h?
-5, -1, 0, 1
Let c(g) be the third derivative of g**7/8820 + g**6/840 + g**5/210 - g**4/24 + 4*g**2. Let t(a) be the second derivative of c(a). Factor t(k).
2*(k + 1)*(k + 2)/7
Suppose 2*k - 4 + 14 = 0. Let f be 3/k - (-9)/15. Suppose -1/5*q**2 + 0 + f*q + 1/5*q**4 + 1/5*q**5 - 1/5*q**3 = 0. Calculate q.
-1, 0, 1
Let v = -1 + -2. Let g be v + 10/2 + 0. Factor 2/3*n + 0 + 0*n**g - 2/3*n**3.
-2*n*(n - 1)*(n + 1)/3
Let n(c) be the first derivative of 9*c**5/5 + 3*c**4/2 + c**3/3 + 2. Factor n(k).
k**2*(3*k + 1)**2
Let i(x) be the third derivative of -x**6/360 + x**5/240 + x**4/48 + 2*x**3/3 - 5*x**2. Let o(h) be the first derivative of i(h). Suppose o(n) = 0. Calculate n.
-1/2, 1
Let q(p) = -p**2 + 2*p - 6. Suppose 0 = z - 6 + 3. Let b(o) = -z + 5 - 1. Let s(i) = 5*b(i) + q(i). Let s(m) = 0. Calculate m.
1
Let o(d) = d - 9. Let t be o(11). Let i = t - 2. Factor 0*c - 8/7*c**3 + i - 2/7*c**2.
-2*c**2*(4*c + 1)/7
Suppose 0 = 10*b - 13*b. Solve -2/7*g**2 + 0*g + b*g**3 + 2/7*g**4 + 0 = 0 for g.
-1, 0, 1
Let h(u) be t