 - 4*k(y). Factor p(v).
-2*(v - 1)**2*(v + 1)
Let h(w) be the first derivative of -w**3 + 0*w + 29 - 3/2*w**2 + 3/5*w**5 + 3/4*w**4. Factor h(l).
3*l*(l - 1)*(l + 1)**2
Let c(q) = q**4 + 3*q**3 - q**2 - q. Let g(v) = -4*v**4 - 14*v**3 + 4*v**2 + 4*v. Let r(d) = 15*c(d) + 3*g(d). Solve r(f) = 0.
-1, 0, 1
Let g be 0/(5*(2/10 + 0)). Let w be 0/((g - -2)/2). Solve -3/4*x**3 + w*x + 0 + 3/4*x**2 = 0.
0, 1
Suppose -3*f + 17 = 5*x, 0 = -f + 3*x + 2 - 1. Let p(z) be the third derivative of 0 - 1/75*z**5 + 2/15*z**3 + 6*z**2 + 0*z**f + 0*z. Solve p(u) = 0 for u.
-1, 1
Let d be ((-88)/70 - 4/(-10)) + (-7980)/(-9310). Let k be -2 - (-2)/(-1 + 2). Find u such that 2/11*u**2 + k*u + d = 0.
0
Let s(u) = 14 - u - 2 + 0. Let v be s(9). Determine f so that 0 - v*f**4 + f**4 + 0 = 0.
0
Let k(l) = -2*l**2 + 16*l + 259. Let f be k(16). Let m(h) be the first derivative of 2*h - 10 - 1/6*h**f + 0*h**2. Determine b, given that m(b) = 0.
-2, 2
Let y(l) be the second derivative of -l**5/50 + 17*l**4/30 - 21*l**3/5 - 81*l**2/5 + 9*l. Let y(b) = 0. What is b?
-1, 9
Let s = 396/7 + -11873/210. Let y(z) be the second derivative of -1/8*z**3 + 1/8*z**2 + s*z**6 - 5/48*z**4 - 8*z + 0 + 3/80*z**5. Find f such that y(f) = 0.
-1, 1/4, 1
Let y(v) be the second derivative of -3*v**5/10 + 190*v**4/9 - 1351*v**3/3 + 294*v**2 - 6*v - 9. Factor y(n).
-2*(n - 21)**2*(9*n - 2)/3
Let x(z) be the third derivative of z**8/2016 + 17*z**7/1260 + z**6/8 + 9*z**5/20 - 3*z**4/16 - 27*z**3/4 - 71*z**2 + 1. Suppose x(o) = 0. What is o?
-9, -3, 1
Let i(p) be the second derivative of 25/13*p**2 + 1/78*p**4 - 29*p + 0 + 10/39*p**3. Factor i(q).
2*(q + 5)**2/13
Let b(u) = 9*u**2 + 6*u. Let v(t) be the third derivative of -t**5/60 + 6*t**2. Let x(m) = b(m) + 6*v(m). Suppose x(d) = 0. Calculate d.
-2, 0
Let z(j) be the third derivative of j**7/1050 - 11*j**6/600 + 2*j**5/25 + 3*j**4/10 + 169*j**2. Determine d so that z(d) = 0.
-1, 0, 6
Let g(v) = -v - 5*v + v + 6*v. Let m(r) be the first derivative of 4*r**3/3 + 5*r**2/2 - 2*r + 2. Let t(j) = 3*g(j) - m(j). Factor t(a).
-2*(a + 1)*(2*a - 1)
Let v(c) be the third derivative of -c**9/7560 - c**8/1680 + c**6/180 - 7*c**5/60 + 5*c**3/6 + 24*c**2. Let q(s) be the third derivative of v(s). Factor q(p).
-4*(p + 1)**2*(2*p - 1)
Factor 48/5*o - 174/5*o**2 + 21/5*o**3 + 0.
3*o*(o - 8)*(7*o - 2)/5
Let s(i) be the second derivative of i**4/24 - 3*i**3/2 + 17*i**2/4 + 24*i + 1. Suppose s(w) = 0. Calculate w.
1, 17
Let f(q) = q**2 + 7*q + 16. Let b be f(-7). Let j = b - 12. Solve 3*u**2 - 8*u**4 - 3 + 5*u**j + 3*u**2 = 0 for u.
-1, 1
Let i(b) be the first derivative of b**4/26 + 76*b**3/39 - 79*b**2/13 + 80*b/13 - 249. Solve i(k) = 0.
-40, 1
Find j such that -4/5*j - 4/5*j**2 + 8/5 = 0.
-2, 1
Suppose s + 4*x + 81 = 0, -x = 5*s - 2*x + 489. Let q = 389/4 + s. Find j, given that -1/4*j**2 - q*j + 1/2 = 0.
-2, 1
Let k(f) = 11*f**2 - 3*f + 4. Let h be k(1). Let n be (3/(-6))/((-14)/h). Factor -6/7*i**2 + 3/7 + n*i**4 + 0*i**3 + 0*i.
3*(i - 1)**2*(i + 1)**2/7
Let r(o) be the first derivative of 0*o + 0*o**2 - 4/3*o**3 - 26 + o**4. Factor r(j).
4*j**2*(j - 1)
Let g(z) be the first derivative of -z**4/12 - 82*z**3/3 - 3362*z**2 - 551368*z/3 + 196. Find u, given that g(u) = 0.
-82
Let i = 1094 - 1094. Let h(u) be the first derivative of 6 + 2/3*u**3 + i*u - u**2. Factor h(m).
2*m*(m - 1)
Let m(z) = 175*z - 2623. Let h be m(15). Factor -2/3*n**3 + h*n + 0 + 4/3*n**2.
-2*n*(n - 3)*(n + 1)/3
Let j(r) = -r**2 + 14*r + 25. Let u be j(17). Let n = u + 28. Factor 2*z**2 - 3*z**3 + n*z**4 + z**4 - 2*z**4 + 0*z**4.
z**2*(z - 2)*(z - 1)
Let z(f) be the third derivative of -f**5/20 + 7*f**4/24 + 5*f**3/3 + 9*f**2. Let y(g) = -g**2 + 4*g + 5. Let h(l) = 15*y(l) - 6*z(l). Factor h(o).
3*(o + 1)*(o + 5)
Let q(l) = l**2 - l + 1. Let i(r) = -5*r - 6 + 0*r - 2*r**2 + 2*r**3 + 11*r. Let h(w) = -i(w) - 6*q(w). Let h(m) = 0. What is m?
-2, 0
Let d(x) be the first derivative of x**6/9 - 8*x**5/15 + x**4/2 - 1. Suppose d(u) = 0. Calculate u.
0, 1, 3
What is y in 27 + 2*y**2 - 69 + 12*y + 30 - 6*y**3 - 3*y**4 + 7*y**2 = 0?
-2, 1
Determine p, given that -18 + 3*p**3 + 54 - 24 + 36*p - 3*p**5 + 33*p**2 - 9*p**4 = 0.
-2, -1, 2
Let u(a) = -a**3 + 4*a**2 + a. Let h(b) = -13*b**3 + 26*b**2 + 31*b. Let j(q) = -2*h(q) + 22*u(q). Factor j(f).
4*f*(f - 1)*(f + 10)
Let h = 40 + -37. Let s be 2 - h/27*-2*-8. Factor -2/9*a**2 + s + 0*a.
-2*(a - 1)*(a + 1)/9
Let n(p) be the first derivative of 5/4*p**2 + 5 + 25/4*p + 1/12*p**3. Solve n(t) = 0.
-5
Let b = 64 + -52. Factor 20*n**2 + 16*n**4 + b*n**3 - 12*n - 36*n**2 + 4*n**5 - 4*n.
4*n*(n - 1)*(n + 1)*(n + 2)**2
Let i(m) = 7*m**4 + 2*m**3 + 3*m**2 - 2*m + 5. Let r(g) = 3*g**4 + g**3 + g**2 - g + 2. Let o(a) = -2*i(a) + 5*r(a). Let o(d) = 0. What is d?
-1, 0, 1
Let l(a) be the third derivative of a**5/20 - 7*a**4/8 - 4*a**3 + 195*a**2. Find x, given that l(x) = 0.
-1, 8
Let q(h) = -h**2 - 8*h - 3. Let d be q(-3). Suppose 0 = 7*f - 8*f + 6. Factor 2*o**5 - 5*o**4 + d*o**5 + f*o**4 + 3*o**4.
2*o**4*(7*o + 2)
Suppose 9*b + 2 = 10*b. Factor 14*n + 3*n**4 - 45*n - 35*n + 72*n**b + 21 - 30*n**3.
3*(n - 7)*(n - 1)**3
Let f(o) be the first derivative of -o**6/1440 + o**5/240 - 4*o**3/3 - 9. Let u(l) be the third derivative of f(l). Factor u(n).
-n*(n - 2)/4
Let t(s) = 2*s - 3. Let w be t(4). Suppose -h - 3*u - 2 = w, 0 = 3*u + 12. Solve -2/5 - 64/5*a**3 + 2/5*a + 64/5*a**2 - 512/5*a**4 + 512/5*a**h = 0.
-1/4, 1/4, 1
Let u(z) be the second derivative of -3*z**7/7 + 10*z**6 - 17*z**5/2 - 30*z**4 + 20*z**3 + 64*z**2 - 4*z - 11. Let u(n) = 0. Calculate n.
-2/3, 1, 16
Let h(n) = -3*n**2 + 26*n**2 + 11*n - 7 - 6 - 5 - 11*n**3. Let o(q) = -6*q**3 + 12*q**2 + 6*q - 9. Let i(m) = -3*h(m) + 5*o(m). Factor i(z).
3*(z - 3)*(z - 1)*(z + 1)
Suppose 4*c - 9 + 1 = 0. Suppose 0*o - 4*y - 52 = -4*o, -4*o + 49 = -y. Factor o*a**c + 16*a**3 - 38*a + 28*a**5 - 6*a + 8 + 44*a**2 - 64*a**4.
4*(a - 1)**3*(a + 1)*(7*a - 2)
Let n be 20/(-170) + (-1222)/17. Let y be n/(-14) - 4 - 1. Factor y + 1/7*l**4 - 2/7*l**3 + 1/7*l - 2/7*l**2 + 1/7*l**5.
(l - 1)**2*(l + 1)**3/7
Let w(r) = -6*r**2 + 21*r + 7. Let x(q) = -5*q**2 + 19*q + 8. Let z(d) = -4*w(d) + 5*x(d). Factor z(j).
-(j - 12)*(j + 1)
Find o, given that 85*o**2 + 22*o + 35*o**4 + 85*o**3 + 2*o + 6*o + 5*o**5 = 0.
-3, -2, -1, 0
Factor 5/8*r**3 + 14*r**2 + 149/8*r + 21/4.
(r + 1)*(r + 21)*(5*r + 2)/8
Let z be (3 - 2)*((-3)/3 - -4). Let a be 4 - (z - 6/(-14)). Factor -a*j**2 + 2/7*j**3 + 0 + 2/7*j.
2*j*(j - 1)**2/7
Let d(q) be the first derivative of 2*q**5/35 - 2*q**3/7 + 2*q**2/7 + 164. Solve d(w) = 0.
-2, 0, 1
Let l(r) = -r**3 + r + 41. Let x be l(0). Factor 0*k - 45*k**4 - 4*k**3 + x*k**4 + 4*k**2 + 4*k.
-4*k*(k - 1)*(k + 1)**2
Factor -259*t**2 + 257*t**2 + 5*t**3 + 5*t**3 - 8*t**4.
-2*t**2*(t - 1)*(4*t - 1)
Let j(p) be the first derivative of -p**4/24 + p**3/2 - 5*p**2/4 + 24*p + 19. Let w(q) be the first derivative of j(q). Solve w(g) = 0.
1, 5
Let z(j) be the second derivative of -j**6/120 - j**5/5 + 35*j**4/48 - 3*j**3/4 + 146*j. Let z(a) = 0. Calculate a.
-18, 0, 1
Let y(r) be the second derivative of 0*r**2 - 16*r + 0 - r**3 + 2/3*r**4 - 1/10*r**5. Let y(j) = 0. Calculate j.
0, 1, 3
Let t(y) be the second derivative of 0*y**3 - y + 0*y**4 - 4/15*y**6 + 0*y**2 - 2/5*y**5 - 1/21*y**7 + 0. Solve t(v) = 0 for v.
-2, 0
Let i = 5913/5 - 1181. Factor 8/5*b + 2/5*b**2 + i.
2*(b + 2)**2/5
Let o = -353 + 2825/8. What is x in 1/8*x**3 - 1/8*x**4 + 0 + o*x**2 - 1/8*x**5 + 0*x = 0?
-1, 0, 1
Find c, given that -20*c**3 - c + 32*c + 96*c**2 + 16 - 25*c**4 + 49*c = 0.
-2, -2/5, 2
Let d(y) be the first derivative of -35/18*y**3 + 18 - 25/24*y**4 + 0*y - 5/4*y**2 - 1/6*y**5. Suppose d(f) = 0. Calculate f.
-3, -1, 0
Find x, given that 1 - 10*x**2 - x**3 + 3*x**3 - 3*x**3 + 71 - 12*x = 0.
-6, 2
Let j(p) be the second derivative of -3/5*p**5 - 12*p - 5/3*p**4 + 0 - 2/3*p**3 + 2*p**2. Factor j(q).
-4*(q + 1)**2*(3*q - 1)
Let g(w) = -3 - 2*w + 3*w + 3*w + 31. Let u be g(-6). Factor 0 + 2/3*f**3 + 2/3*f**u - 2/3*f**2 - 2/3*f.
2*f*(f - 1)*(f + 1)**2/3
Let i(v) be the third derivative of v**10/37800 + v**9/30240 - v**8/10080 + 5*v**5/12 + 27*v**2. Let r(n) be the third derivative of i(n). Factor r(h).
2*h**2*(h + 1)*(2*h - 1)
Factor -31/2*m**2 + 5/2*m**3 - 