*(i - 2)*(i - 1)**2
Let h(g) be the second derivative of -1/3*g**2 + 1/18*g**4 + 0 + 2*g + 0*g**3. Suppose h(t) = 0. What is t?
-1, 1
Let z(n) be the second derivative of -1/5*n**5 - 1/15*n**6 + 1/3*n**3 + 0 + 1/21*n**7 + 1/3*n**4 + 2*n - n**2. Factor z(y).
2*(y - 1)**3*(y + 1)**2
Factor 5*o**2 - 4*o**2 - 5*o + 14*o**2 - 10.
5*(o - 1)*(3*o + 2)
Let m(w) = 11*w**4 - 7*w**3 + 5*w**2 - 5. Let b(r) = 39*r**4 - 24*r**3 + 18*r**2 - 18. Let j(a) = -5*b(a) + 18*m(a). Factor j(p).
3*p**3*(p - 2)
Let h(k) = -6*k**3 + 7*k**2 + 11*k - 35. Let l(p) = 2*p**3 - 2*p**2 - 4*p + 12. Suppose 3*g + 6 + 6 = 0. Let n(a) = g*h(a) - 11*l(a). Factor n(w).
2*(w - 2)**2*(w + 1)
Let p = 2210 + -42008/19. Let y = 129/76 + p. Suppose -1/4*k**3 + 1/4 + y*k**2 - 3/4*k = 0. What is k?
1
Let j(w) = -120*w**3 - 510*w**2 - 800*w - 305. Let s(u) = 7*u**3 + 30*u**2 + 47*u + 18. Let x(k) = -2*j(k) - 35*s(k). Suppose x(n) = 0. What is n?
-4, -1
Let h = -481319/180 + 2674. Let n(u) be the third derivative of -h*u**5 - 1/18*u**3 - u**2 + 0*u + 0 + 1/36*u**4. Let n(z) = 0. Calculate z.
1
Let k(w) be the first derivative of -w**3/18 + w**2/6 - 3. Let k(l) = 0. Calculate l.
0, 2
Let l(p) = -p**4 + p**3 + p**2 - p - 1. Let u(z) = 10*z**4 - 13*z**3 - 7*z**2 + 13*z + 6. Let h(k) = 36*l(k) + 4*u(k). Factor h(b).
4*(b - 3)*(b - 1)**2*(b + 1)
Suppose -4*o + 2*z = 6*z - 4, 2*o - 3*z = 22. Let l(c) be the second derivative of -1/60*c**o + 0 + 1/6*c**2 + 1/18*c**3 + c - 1/36*c**4. Factor l(t).
-(t - 1)*(t + 1)**2/3
Let j(m) be the third derivative of -m**7/840 + m**6/120 + m**4/3 + 7*m**2. Let q(x) be the second derivative of j(x). Factor q(y).
-3*y*(y - 2)
Let t(s) = s**2 - 10*s + 8. Let r be t(10). Let m = r + -5. Factor z**4 + 0*z**4 + 2*z**m - 2*z**3 + z**3 - 2*z**2.
z**2*(z - 1)*(z + 2)
Suppose g = -w - 6, -2*w + g = 5 + 1. Let k be (-4)/(-10) - w/(-10). Determine t, given that 0 + 2/5*t**2 + k*t - 2/5*t**3 = 0.
0, 1
Let j(s) be the second derivative of s**4/42 + s**3/21 + 49*s. Let j(a) = 0. Calculate a.
-1, 0
Factor 2*x**2 - 3*x**2 + 0*x**2 + 1.
-(x - 1)*(x + 1)
Let y(z) be the third derivative of 0*z + 1/45*z**6 - 1/90*z**5 + 1/9*z**3 - 4*z**2 + 0 - 1/9*z**4. What is u in y(u) = 0?
-1, 1/4, 1
Let n = -12 - -14. Factor -1/2*u**5 - u**n + 0*u**3 + 1/2*u + u**4 + 0.
-u*(u - 1)**3*(u + 1)/2
Factor 5/2*j + 0 - 5/4*j**2.
-5*j*(j - 2)/4
Let g = -10 - -13. Let v(t) be the first derivative of -3/20*t**5 + 5/8*t**4 + t - 3/2*t**2 - 2 - 1/4*t**g. Find h, given that v(h) = 0.
-1, 1/3, 2
Let j(x) be the first derivative of x**7/560 - x**5/80 + 5*x**3/3 + 7. Let l(d) be the third derivative of j(d). Factor l(s).
3*s*(s - 1)*(s + 1)/2
Let j be -1*(-12)/(3 - -1). Let m(i) = -3*i - 2. Let c be m(-2). Solve 5*d**5 + j + c*d**3 + 2*d**3 + 21*d**4 - 17*d**5 - 24*d**2 + 6*d = 0.
-1, -1/4, 1
Let x(l) be the second derivative of -l**5/50 - l**4/15 + 7*l**3/15 - 4*l**2/5 - 10*l. What is b in x(b) = 0?
-4, 1
Suppose 15 = 2*s - 9. Suppose -8*h**3 - 7 - 1 - s*h + 12*h**3 = 0. Calculate h.
-1, 2
Let l(z) be the second derivative of -z**7/210 + z**6/50 + 3*z**5/50 - z**4/6 - 7*z**3/10 - 9*z**2/10 + 9*z. Factor l(a).
-(a - 3)**2*(a + 1)**3/5
Let u = 4 + -6. Let w(s) = -2*s - 2. Let a be w(u). Factor 4 + 5*z**2 + 3*z**2 + a*z**3 + 0 + 10*z.
2*(z + 1)**2*(z + 2)
Let d = 43 + -36. Let h(n) be the second derivative of -1/15*n**4 + 0 + 1/5*n**3 - 2/25*n**5 + 0*n**6 + 2/5*n**2 + 1/105*n**d - 3*n. Factor h(t).
2*(t - 2)*(t - 1)*(t + 1)**3/5
Let i = 2881/15 + -192. Let l = 19/60 - i. Factor l*h**2 + 0*h**3 - 1/4*h**4 + 0 + 0*h.
-h**2*(h - 1)*(h + 1)/4
Let v(c) be the second derivative of c**5/4 + 5*c**4/6 - 10*c**3/3 - 20*c**2 + 12*c. Solve v(h) = 0.
-2, 2
Let z = 613 - 611. Factor 2/5*x**3 + 2/5*x + 0 - 4/5*x**z.
2*x*(x - 1)**2/5
Let b(l) = -l**2. Let q(k) = k**2 - 6*k - 9. Let d(u) = -6*b(u) - 3*q(u). Suppose d(z) = 0. What is z?
-3
Let z(s) be the first derivative of 2*s**3/51 + s**2/17 - 1. Factor z(y).
2*y*(y + 1)/17
Factor -13/5*q - 13/5*q**2 + 4*q**3 + 6/5.
(q - 1)*(4*q + 3)*(5*q - 2)/5
Let r(c) be the first derivative of c**5/6 - 17*c**4/24 + c**3/3 - 18. Let r(p) = 0. Calculate p.
0, 2/5, 3
Suppose l = -3*l + 12. Find g, given that 3 - l - g**2 + 2*g**2 = 0.
0
Let b be -1*2 - (-1 + -3). Let k(d) = -d**2 - 14*d + 120. Let w be k(-20). Solve 0*c + 1/7*c**5 - 1/7*c**3 - 1/7*c**b + w + 1/7*c**4 = 0 for c.
-1, 0, 1
Let l(v) = v**3 + v**2. Let u(d) = d**3 + 7*d**2 + 6*d. Suppose -2*j + 4*h = -2, -2*j = 5*h + 10 - 3. Let x(c) = j*u(c) + 4*l(c). Factor x(p).
3*p*(p - 2)*(p + 1)
Let s(p) be the second derivative of -4*p + 0 + p**2 + 4/3*p**3 - 2/5*p**5 - 1/6*p**4. Suppose s(z) = 0. Calculate z.
-1, -1/4, 1
Let a be 169/78 - 1/6. Determine b so that -1/2 - 1/4*b**4 - 1/4*b**3 + 1/4*b + 3/4*b**a = 0.
-2, -1, 1
Let z(w) be the first derivative of 21*w**5/5 + 12*w**4 + 11*w**3 + 3*w**2 - 15. Factor z(r).
3*r*(r + 1)**2*(7*r + 2)
Factor -91*l - 101*l - 108*l**2 + 180*l + 112*l**3 + 8.
4*(l - 1)*(4*l - 1)*(7*l + 2)
Determine l so that 1/3*l**3 - 1/3*l + 1/3*l**2 - 1/3 = 0.
-1, 1
Let r(p) = 4*p - 1. Let o be r(1). Let d = 6 - o. Find f such that 6*f**d + 9/2*f**4 - 2 - 6*f - 5/2*f**2 = 0.
-1, -2/3, 1
Let v(m) be the second derivative of -54*m**6/5 - 126*m**5/5 - 13*m**4/3 + 56*m**3/3 - 8*m**2 - m. Determine z, given that v(z) = 0.
-1, 2/9
Let d(r) be the second derivative of -3*r**5/160 + 9*r**4/32 - 3*r**3/2 + 3*r**2 - 9*r. Suppose d(i) = 0. Calculate i.
1, 4
Let x(l) be the second derivative of -l**6/40 - l**5/5 - 5*l**4/8 - l**3 - 3*l**2 + l. Let z(y) be the first derivative of x(y). Suppose z(q) = 0. Calculate q.
-2, -1
Suppose p - 2*k - 2 = 2*k, 0 = p + k - 2. Let 0*n**p + 1/2*n**3 + 0*n - 1/2*n**4 + 0 = 0. Calculate n.
0, 1
Let f(r) be the first derivative of -4/3*r**3 - 3*r**4 - 2/3*r**6 + 0*r + 0*r**2 - 12/5*r**5 - 2. Factor f(d).
-4*d**2*(d + 1)**3
Find d, given that 1/5*d**3 + 2/5 + 1/5*d**4 - 1/5*d - 3/5*d**2 = 0.
-2, -1, 1
Let z(c) be the second derivative of -98*c**7/9 - 392*c**6/5 - 469*c**5/5 + 2150*c**4/9 - 472*c**3/3 + 48*c**2 - 8*c. Factor z(w).
-4*(w + 3)**2*(7*w - 2)**3/3
Let u(r) = -2*r**2 + 5*r + 1. Let y(h) = h**2 - 5*h. Let q(d) = 2*u(d) + 3*y(d). Let z be q(-5). Factor 4 + n + 0*n**2 + n - n**z - n**2.
-2*(n - 2)*(n + 1)
Let h(r) be the third derivative of r**8/1008 - r**7/315 + r**5/90 - r**4/72 + r**2. Find u such that h(u) = 0.
-1, 0, 1
Let h(r) be the first derivative of 1/30*r**5 - 1/72*r**4 + 0*r**2 + 3 + 1/60*r**6 - r - 1/18*r**3. Let m(x) be the first derivative of h(x). Factor m(t).
t*(t + 1)**2*(3*t - 2)/6
Let f(x) be the second derivative of -7/90*x**6 - 11/36*x**4 - x + 0*x**2 - 4/15*x**5 + 0 - 1/9*x**3. Factor f(l).
-l*(l + 1)**2*(7*l + 2)/3
Suppose 3*c = -c - 4*c. Factor -3/4*r**4 - 1/4*r**2 + 3/4*r**3 + 1/4*r**5 + 0*r + c.
r**2*(r - 1)**3/4
Let m(q) be the second derivative of 5*q**4/12 + 40*q**3/3 + 160*q**2 - 11*q. Factor m(n).
5*(n + 8)**2
Let y be (0 - -2)*-1 - -2. Suppose -3*r - r - 4 = -4*f, y = 3*f - r - 9. Factor -1 - 1 - f*p**2 + 3*p**2 + 2*p + 1.
-(p - 1)**2
Find s such that -12*s**2 - 100 - 60*s - 4/5*s**3 = 0.
-5
Let f be (-5 - -3) + (3 - -2). Find j such that 3*j - j + 2*j**f - 4*j = 0.
-1, 0, 1
Let k(n) be the first derivative of n**4/12 - n**2/2 + 9*n - 7. Let y(q) be the first derivative of k(q). Factor y(t).
(t - 1)*(t + 1)
Let i(r) be the second derivative of -r**7/63 - r**6/45 + r**5/6 - r**4/6 + 3*r. Factor i(l).
-2*l**2*(l - 1)**2*(l + 3)/3
Let t = -79/30 + 33/10. Factor 0*m - 2/3*m**2 + t.
-2*(m - 1)*(m + 1)/3
Suppose 1 = n + 19. Let q be 4/18 - 8/n. Factor -2/3*m**2 + 2/3*m**4 + q*m**3 - 2/3*m + 0.
2*m*(m - 1)*(m + 1)**2/3
Let a be (6 - 9) + 1 + 5. Find j such that 9/4*j + 0*j**2 - 3/4*j**a - 3/2 = 0.
-2, 1
Let z(u) be the third derivative of 9*u**7/140 - 3*u**6/8 + 7*u**5/10 - u**4/2 - 16*u**2. Factor z(y).
3*y*(y - 2)*(3*y - 2)**2/2
Let w(p) = -2*p**5 - 4*p**4 - 2*p**3 + 3*p**2 - 3. Let n(l) = l**2 - 1. Let c(h) = -3*n(h) + w(h). Factor c(y).
-2*y**3*(y + 1)**2
Let d be 15*(3/9 - 0). Let 9*h**4 + 3*h**5 - 5*h**2 + 6*h**3 + 3 - 7*h**2 - 9*h**d = 0. What is h?
-1, -1/2, 1
Let l be -4 + (-6)/21*-20. Factor 0*f + 0 - 8/7*f**2 + 20/7*f**3 - l*f**4.
-4*f**2*(f - 1)*(3*f - 2)/7
Let z be 14/(-63) - 2/(-3). Let b(p) be the first derivative of -2/9*p - 4/9*p**2 - 2/45*p**5 