se f(t) = 0. Calculate t.
-1, 0, 1
Let c(l) = -2*l**2 - 17*l + 9. Let s be c(-9). Factor s*h**2 - 6 - h**2 + 11 - 4*h.
-(h - 1)*(h + 5)
Let w(x) be the first derivative of -x**8/3360 + x**7/280 - x**6/80 + 11*x**3/3 + 10. Let y(r) be the third derivative of w(r). What is n in y(n) = 0?
0, 3
Let j(c) be the second derivative of -c**5/10 + 9*c**4/8 - 2*c**3 - 6*c**2 + 5*c. Let p(g) be the first derivative of j(g). Let p(o) = 0. What is o?
1/2, 4
Let x(j) be the second derivative of 0*j**2 - 1/84*j**7 + 1/10*j**6 + 0*j**3 - 2*j + 0*j**4 - 9/40*j**5 + 0. Factor x(m).
-m**3*(m - 3)**2/2
Let i(w) be the second derivative of -w**6/75 - w**5/25 + w**4/6 + 2*w**3/5 + 27*w. Solve i(c) = 0 for c.
-3, -1, 0, 2
Let t(n) be the second derivative of n**5/150 - n**4/90 - 3*n + 4. Find w, given that t(w) = 0.
0, 1
Find j such that 240/7*j + 100/7 + 48/7*j**3 + 4/7*j**4 + 184/7*j**2 = 0.
-5, -1
Suppose 4*c - 69 = -19*c. Let m(a) be the second derivative of -1/9*a**c - 1/6*a**2 - 9*a - 1/36*a**4 + 0. Factor m(x).
-(x + 1)**2/3
Suppose 0 = 5*u - 5*c - 45, 31 = 199*u - 195*u - 3*c. Factor -14/3*w + 6*w**2 - 10/3*w**3 + 4/3 + 2/3*w**u.
2*(w - 2)*(w - 1)**3/3
Let k(y) = 2*y**2 - 1328*y - 149167. Let g(r) = -9*r**2 + 5310*r + 596664. Let t(v) = 5*g(v) + 21*k(v). Factor t(f).
-3*(f + 223)**2
Let q(c) be the second derivative of -c**10/6048 + c**8/448 + c**7/252 + c**4/4 + 10*c. Let i(r) be the third derivative of q(r). Factor i(w).
-5*w**2*(w - 2)*(w + 1)**2
Let z(c) be the first derivative of 1/9*c**3 - 9 + 0*c + 1/6*c**2. Factor z(w).
w*(w + 1)/3
Let i(b) be the first derivative of b**6/15 - b**5/5 - b**4/6 + 2*b**3/3 + 11*b - 6. Let n(s) be the first derivative of i(s). Suppose n(a) = 0. Calculate a.
-1, 0, 1, 2
Suppose 3*r = 9*r - 12. Factor 5*f - 2*f - 2*f**3 - r*f**2 + 9*f.
-2*f*(f - 2)*(f + 3)
Let p be ((-164)/(-1476))/(3/81). Factor -7*f**2 - 1/2*f**5 - f**4 + 6*f**p + 5/2*f + 0.
-f*(f - 1)**3*(f + 5)/2
Let z(t) = t**4 + 12*t**3 + 51*t**2 + 55*t + 25. Let k(f) = f**2 - f. Let b(w) = 10*k(w) - 2*z(w). Suppose b(a) = 0. What is a?
-5, -1
Find t such that 9*t**3 - 6*t**5 + 23*t**3 + 32*t**2 - 8*t**3 + 27*t + 3*t**5 - 6*t**4 + 22*t**2 = 0.
-3, -1, 0, 3
Let u(l) = -l**3 - l**2 + 66*l - 64. Let p be u(1). Factor -16/5*a - 8/5*a**2 + 2/5*a**4 + p + 4/5*a**3.
2*a*(a - 2)*(a + 2)**2/5
Determine b so that -21/4*b - 1/4*b**2 - 5 = 0.
-20, -1
Let w = -254 + 266. Suppose 9*q = 30 - w. Factor -2/3*x**q - 16/3*x - 32/3.
-2*(x + 4)**2/3
Factor -4*g**3 - 29*g + 306*g**2 - 24 - 330*g**2 - 15*g.
-4*(g + 1)*(g + 2)*(g + 3)
Let p(n) be the first derivative of 2*n + 1/5*n**3 + 1/20*n**4 - 12 + 3/10*n**2. Let w(d) be the first derivative of p(d). Factor w(s).
3*(s + 1)**2/5
Let b(h) be the second derivative of h**4/48 - h**3/3 + 7*h**2/8 - 66*h. Solve b(x) = 0.
1, 7
Let s = 213 - 206. Let l(a) be the second derivative of -2*a + 0*a**2 + 0 + 2/15*a**6 - 1/6*a**4 + 3/20*a**5 - 1/6*a**3 - 2/21*a**s. Factor l(d).
-d*(d - 1)**2*(2*d + 1)**2
Let c be 2/4 + 4/(-8) + 2. Factor -2*a**c + 17 - 13 - 14*a - 2*a**2 + 14*a**3.
2*(a - 1)*(a + 1)*(7*a - 2)
Let w(p) be the first derivative of -p**6/13 + 16*p**5/65 + 4*p**4/13 - 28*p**3/39 - 5*p**2/13 + 12*p/13 + 157. Suppose w(g) = 0. What is g?
-1, 2/3, 1, 3
Let x(l) be the first derivative of 15*l**4/4 - 7*l**3 - 69*l**2 - 72*l + 83. Determine q so that x(q) = 0.
-2, -3/5, 4
Let m be (-16)/(-7) - 6/21. Determine r, given that -10*r + 5*r**3 + 0*r**3 - 7*r**2 + 2*r**m = 0.
-1, 0, 2
Let p(y) be the second derivative of 0*y**2 + 0 + 5/12*y**4 + 21*y - 25/6*y**3. Let p(l) = 0. Calculate l.
0, 5
Let d be (1/6)/(2/(-6))*-6. Solve 12 + 16*g**4 - 3*g**5 + 0*g**5 + 10*g + 5*g**5 + 4*g**5 - 28*g**2 - 16*g**d = 0.
-3, -1, -2/3, 1
Determine n, given that -30*n + 60*n - 21 - 3*n**2 - 6*n = 0.
1, 7
Suppose 2*w = r + 4*w - 3, -5*w + 5 = 2*r. Let o(m) be the third derivative of 0*m**3 - 2*m**2 + 0*m + 0 - 1/18*m**4 - 1/90*m**r. Find j such that o(j) = 0.
-2, 0
Determine j, given that 0*j - 96*j**2 - 3/2*j**3 + 0 = 0.
-64, 0
Factor -25/4*w**3 - 65/4*w**2 + 0 + 15/2*w.
-5*w*(w + 3)*(5*w - 2)/4
Let h(t) be the first derivative of t**7/420 + t**6/60 - t**4/3 - 4*t**3/3 - 7*t**2/2 - 48. Let f(y) be the second derivative of h(y). Solve f(a) = 0.
-2, 2
Let y = -37 - -37. Let c(a) be the second derivative of 0*a**2 + 1/9*a**4 - 1/45*a**6 + y + 0*a**3 + 1/30*a**5 - a. Factor c(h).
-2*h**2*(h - 2)*(h + 1)/3
Let l(v) be the third derivative of -7*v**6/120 - 3*v**5/20 - v**4/12 - 115*v**2. Factor l(g).
-g*(g + 1)*(7*g + 2)
Let b = 191 + -187. Suppose -5*k = -2*c + 5, -k + b = -2*c - 5*k. Solve c*z**2 + 0 + 4/3*z**4 + 0*z + 2/3*z**3 + 2/3*z**5 = 0 for z.
-1, 0
Let g(m) be the first derivative of -2*m**6/15 + 24*m**5/25 - 8*m**4/5 + 44. Factor g(b).
-4*b**3*(b - 4)*(b - 2)/5
Suppose -4*l = 3 + 9. Let h be 5/(5/l) - -5. Factor -6*f + 2 + 2 - 2 + 10*f + 2*f**h.
2*(f + 1)**2
Let f(h) be the second derivative of -16*h - 1/9*h**2 + 5/54*h**3 + 1/54*h**4 - 1/36*h**5 + 0. Factor f(o).
-(o - 1)*(o + 1)*(5*o - 2)/9
Let r be (1 + 2)*48/36*1. Let n(t) be the second derivative of t**2 - t + 0*t**3 + 0 - 1/6*t**r. Find b, given that n(b) = 0.
-1, 1
Suppose -3*b + 66 + 16 = -5*z, 3*b - 4*z - 83 = 0. Suppose -b*t**2 + 45*t**2 - 19*t**2 + 3 = 0. What is t?
-1, 1
Let r(x) be the first derivative of 3*x**4/28 + x**3/7 - 27*x**2/14 - 27*x/7 - 11. Solve r(y) = 0 for y.
-3, -1, 3
Let w(p) = 120*p**2 + 460*p + 545. Let a(o) be the second derivative of 7*o**4/12 + 9*o**3/2 + 16*o**2 - 9*o - 1. Let z(n) = 35*a(n) - 2*w(n). Factor z(u).
5*(u + 2)*(u + 3)
Let s(b) be the first derivative of b**6/180 - b**5/15 + b**4/3 - 6*b**3 + 24. Let y(o) be the third derivative of s(o). Find x, given that y(x) = 0.
2
Suppose 0 = -4*c + 8, 0*y = 3*y - 5*c + 1. Let o = -51 + 257/5. What is m in -o*m**y + 0 - 6/5*m**2 - 4/5*m = 0?
-2, -1, 0
Let s(y) be the first derivative of y**9/6552 + y**8/2730 - y**7/5460 - y**6/1170 - 2*y**3/3 + 7. Let t(h) be the third derivative of s(h). Factor t(r).
2*r**2*(r + 1)**2*(3*r - 2)/13
Let m(c) = 5*c**4 - 2*c**3 - 83*c**2 + 83*c - 3. Let s(o) = 10*o**4 - 5*o**3 - 165*o**2 + 165*o - 5. Let v(j) = -5*m(j) + 3*s(j). Let v(k) = 0. Calculate k.
-4, 0, 1, 4
Let w(z) be the third derivative of 44*z**2 + 4/3*z**3 + 0*z + 0 + 1/72*z**8 + 1/9*z**4 + 43/60*z**6 - 91/90*z**5 - 61/315*z**7. Find i, given that w(i) = 0.
-2/7, 1, 6
Let p(r) = -r**2 + 38. Suppose -2*o + 5*g - 25 = 0, -20 = -2*o + o - 4*g. Let m be p(o). Factor -l**2 + m*l - 32*l - l**2.
-2*l*(l - 3)
Let a(o) be the first derivative of 38/5*o**3 + 24/5*o - 28 + 24/25*o**5 - 15/4*o**4 - 42/5*o**2 - 1/10*o**6. Factor a(t).
-3*(t - 2)**3*(t - 1)**2/5
Let c be ((-2 - -3)/40)/((-33)/(-66)). Let g(t) be the third derivative of 0 + 0*t**3 + 0*t + 0*t**4 - 3/40*t**5 + c*t**6 + 6*t**2 - 1/140*t**7. Factor g(q).
-3*q**2*(q - 3)*(q - 1)/2
Let d(q) be the second derivative of -q**4/8 - 49*q**3/36 - 5*q**2/3 + 318*q. Let d(b) = 0. Calculate b.
-5, -4/9
Let d(j) = -5*j**3 - 1 + 5*j**3 + 0*j**2 + j**4 + j + j**2 + j**3. Let q(a) = 8*a**4 - 42*a**3 + 172*a**2 - 156*a - 132. Let v(f) = -4*d(f) + q(f). Factor v(i).
2*(i - 4)**3*(2*i + 1)
Suppose -14*q = -10*q - 36. Factor q + 3*h**3 + 4 + 2*h**2 - h**2 - 3*h - 14.
(h - 1)*(h + 1)*(3*h + 1)
Let p = 1 + 2. Factor -9*n + 8 - 18*n**2 - 23*n**3 + 18*n + 9*n**p + 15*n.
-2*(n - 1)*(n + 2)*(7*n + 2)
Let z(m) = -21*m**4 - 12*m**3 + 69*m**2 + 3. Let j(w) = w**5 - 41*w**4 - 24*w**3 + 139*w**2 + 5. Let y(t) = 3*j(t) - 5*z(t). Factor y(u).
3*u**2*(u - 6)*(u - 2)*(u + 2)
Factor -768/7*z - 4/7*z**3 + 2048/7 - 120/7*z**2.
-4*(z - 2)*(z + 16)**2/7
Let d be 8/(-20)*(6 - (-62)/(-10)). Let p(w) be the first derivative of 5 - d*w**5 + 1/5*w**2 + 2/15*w**3 - 1/10*w**4 + 0*w. What is n in p(n) = 0?
-1, 0, 1
Factor 1/5*n**2 + 156/5*n + 6084/5.
(n + 78)**2/5
Let b be (4/(-6))/(-10 - -4)*-44. Let u = 50/9 + b. Factor 16/3*f - u*f**2 - 32/3.
-2*(f - 4)**2/3
Suppose -44 = -13*w - 7*w - 2*w. Let -10/7*l - 2/7*l**3 - 4/7 - 8/7*l**w = 0. What is l?
-2, -1
Let u(g) be the second derivative of 4*g**5/5 + 7*g**4/3 + 4*g**3/3 - 2*g**2 - 2*g + 37. Determine d so that u(d) = 0.
-1, 1/4
Let o = 3 + 0. Suppose 0 = -y - y + 2. Factor n**2 - 2*n + o*n**2 - 3*n**2 - y + 2.
(n - 1)**2
Let f = -14 - -18. Let j be f + -1 + (4 - 3). Factor 