 - 4/5*a**3 = 0.
-1, 3/4, 1
Let s(t) be the third derivative of t**5/240 + 17*t**4/24 + 289*t**3/6 - 118*t**2. Factor s(d).
(d + 34)**2/4
Let b(d) be the first derivative of -3/2*d**2 + 3*d + 1/4*d**3 + 1. Factor b(v).
3*(v - 2)**2/4
Let v be 6/7*((-10)/(-2) + 9). Suppose -4*x - v = -4*p, 0 = 7*p - 8*p + 3. Find j, given that -3/5*j**3 + 0 + 3/5*j**4 + x*j - 1/5*j**5 + 1/5*j**2 = 0.
0, 1
Let q(b) = -5*b**5 - 86*b**4 - 405*b**3 - 8*b. Let l(f) = 10*f**5 + 173*f**4 + 810*f**3 + 14*f. Let i(g) = 4*l(g) + 7*q(g). Factor i(o).
5*o**3*(o + 9)**2
Let h(q) = -2*q**3 + 4*q**2 - 37*q + 47. Let v(p) = 3*p**3 - 9*p**2 + 75*p - 93. Let j(c) = -5*h(c) - 3*v(c). Determine f, given that j(f) = 0.
-11, 2
Let d(p) = 12*p + 28. Let o(v) = -v**2 - 12*v - 25. Let a(t) = -5*d(t) - 4*o(t). Factor a(k).
4*(k - 5)*(k + 2)
Let y(x) be the second derivative of x**6/90 - x**5/30 + 15*x**3/2 - 3*x - 2. Let c(a) be the second derivative of y(a). Factor c(r).
4*r*(r - 1)
Let h(o) be the second derivative of -1/2*o**2 + 22*o - 2/3*o**3 + 0 + 3/5*o**5 - 3/10*o**6 + 1/6*o**4. Solve h(t) = 0.
-1/3, 1
Let q(z) = -z**2 + 7*z - 8. Let f be q(2). Let u = f - 1/2. Let 3/2*o + 0*o**3 - u*o**5 + 3*o**4 - 3*o**2 + 0 = 0. What is o?
-1, 0, 1
Let m(q) = -291*q - 1161. Let y be m(-4). Factor -3 + 9/2*z + 3/2*z**2 - 9/2*z**y + 3/2*z**4.
3*(z - 2)*(z - 1)**2*(z + 1)/2
Determine s so that -1048 - 159*s**2 + 76*s + 158*s**2 - 396 = 0.
38
Suppose 82*a - 16 = 148. Factor 2/9*j**3 + 10/3*j - 50/9 + a*j**2.
2*(j - 1)*(j + 5)**2/9
Let i be (-176)/(-234) - 324/729. Factor i*k**2 + 0*k + 0 + 2/13*k**4 + 6/13*k**3.
2*k**2*(k + 1)*(k + 2)/13
Let k = -52 - -55. Factor 103*o + 76*o**3 + 60*o**2 - 112*o**3 + 4*o**4 - k*o.
4*o*(o - 5)**2*(o + 1)
Let y(n) = -2*n. Let r(w) = w**3 + 31*w**2 + 63*w + 29. Let t(b) = 3*r(b) + 6*y(b). Factor t(k).
3*(k + 1)**2*(k + 29)
Let v(m) = 17*m**3 + 7*m + 23*m**3 - 2*m - 27*m**2 + 3. Let y(x) = 40*x**3 - 28*x**2 + 5*x + 2. Let u = 336 + -338. Let j(c) = u*v(c) + 3*y(c). Factor j(l).
5*l*(2*l - 1)*(4*l - 1)
Let -47*w**2 - 3072 + 12*w**2 + 18*w**2 + 14*w**2 - 73*w - 119*w = 0. What is w?
-32
Let i = 1341/4 + -335. Let v(q) be the third derivative of 1/4*q**5 - i*q**4 + 0 - 2*q**2 + 0*q + 0*q**3. Factor v(r).
3*r*(5*r - 2)
Suppose l - 3 = 0, -i + 0*i - 3*l + 5 = 0. Let v = -4 - i. Factor 0*k + 0*k**2 + 4/5*k**3 - 4/5*k**4 + v + 1/5*k**5.
k**3*(k - 2)**2/5
Let b(r) be the third derivative of -r**7/525 - 40*r**2 + 1. Find p, given that b(p) = 0.
0
Suppose 22*g**3 - 18*g**3 - 2*g**3 - 22*g**2 + 20*g = 0. What is g?
0, 1, 10
Let a(s) = 23*s**2 - 3*s. Let c(b) = 369*b**2 - 48*b. Let y(k) = 33*a(k) - 2*c(k). Factor y(h).
3*h*(7*h - 1)
Let y = -19 + 35. Let j(v) = -20*v**2 - 24*v + 176. Let i(q) = 4*q**2 + 5*q - 35. Let f(k) = y*i(k) + 3*j(k). Find o, given that f(o) = 0.
-4, 2
Let s(h) be the second derivative of 1/78*h**4 + 1/130*h**5 + 4*h - 1/13*h**2 + 0 - 1/39*h**3. Factor s(n).
2*(n - 1)*(n + 1)**2/13
Let g be 18*(-2)/(-8 + 0). Let k(u) be the first derivative of g*u**2 + 11/4*u**4 - 3/5*u**5 - 5*u**3 + 4 - 2*u. Suppose k(f) = 0. Calculate f.
2/3, 1
Let q(w) = 94*w**4 + 180*w**3 - 284*w**2 - 744*w - 398. Let m(j) = -j**4 + 2*j - 1. Let v(a) = -6*m(a) + q(a). Factor v(l).
4*(l - 2)*(l + 1)*(5*l + 7)**2
Suppose 32 - 4 = 14*c. What is l in 14 - 4*l**4 - 2 - 38*l - 8*l**2 + 24*l**3 - 6*l**5 + c*l**5 + 18*l = 0?
-3, -1, 1
Let p(g) be the third derivative of -10*g**2 + 0 - 1/280*g**6 - 1/35*g**5 + 0*g - 3/56*g**4 + 0*g**3. Factor p(b).
-3*b*(b + 1)*(b + 3)/7
Let r = 279 + -276. Let y(q) be the first derivative of -9/4*q + 1/4*q**r - 2 + 3/4*q**2. Factor y(x).
3*(x - 1)*(x + 3)/4
Factor -7/10*x + 1/5 + 4/5*x**2 - 1/5*x**4 + 1/10*x**5 - 1/5*x**3.
(x - 1)**4*(x + 2)/10
Let d be 1/2*40/10. Factor -7*h**3 + 3*h**5 + 3*h**2 - h**d + 5*h**3 - 2*h**4 - h**5.
2*h**2*(h - 1)**2*(h + 1)
Suppose 5 = -5*t - 3*w + 32, 3*t + w - 17 = 0. Let k be (-20)/(-9) + t/(-27). Factor 2/9*q**3 + 0 + 2/9*q**k + 0*q.
2*q**2*(q + 1)/9
Suppose -o + 6*o = 10. Let u be 1/o*-3*-4. Find x, given that 3*x**5 + 6*x**3 + x**5 + 2*x**2 + u*x**4 - 3*x**5 + x**5 = 0.
-1, 0
Let a = -42 + 42. Suppose v - 17 = -0*v + 5*p, -2*v = -4*p - 16. Factor -2*b**4 - 15*b + 2*b**2 + 15*b + a*b**v.
-2*b**2*(b - 1)*(b + 1)
Let o(l) be the second derivative of -5/48*l**4 - 1/80*l**5 - 9*l + 0 - 1/4*l**3 + 0*l**2. Factor o(n).
-n*(n + 2)*(n + 3)/4
Suppose -228*s - 45 = -237*s. Let o(j) be the second derivative of 8*j - 1/28*j**7 - 27/20*j**s + 0*j**2 + 0 - 2*j**3 + 7/20*j**6 + 5/2*j**4. Factor o(i).
-3*i*(i - 2)**3*(i - 1)/2
Let o(q) be the third derivative of q**8/112 - 27*q**7/70 - 3*q**6/40 + 83*q**5/20 - 27*q**4/4 + 328*q**2. Determine r so that o(r) = 0.
-2, 0, 1, 27
Let x = 15 + -12. Suppose -8 - 6*v**2 - x*v**2 + 10*v**2 - 5*v**2 - 12*v = 0. Calculate v.
-2, -1
Let p = -13154 - -26359/2. Factor p*q - 12*q**2 + 3/2*q**3 - 15.
3*(q - 5)*(q - 2)*(q - 1)/2
Suppose 4*l + 246 = -2*u + 18, 3*u = -3*l - 333. Let f be (2 - u/(-52))*-2. Suppose 0*c - f*c**3 + 0 + 4/13*c**2 = 0. Calculate c.
0, 2
Let x(c) be the second derivative of -c**7/231 - 13*c**6/165 - 49*c**5/110 - 79*c**4/66 - 58*c**3/33 - 16*c**2/11 - 39*c. Find d such that x(d) = 0.
-8, -2, -1
Let u be (-64)/(-80) + (2709/390)/(-7). Let v = u - -41/78. Solve v*n**4 + 0*n - 1/3*n**3 - 1/3*n**2 + 0 + 1/3*n**5 = 0 for n.
-1, 0, 1
Let a(u) be the third derivative of 8/5*u**5 + 19*u**2 + 0*u + 1/2*u**4 + 0 + 71/40*u**6 + 0*u**3 + 2/5*u**7. Find x, given that a(x) = 0.
-2, -2/7, -1/4, 0
Let y(p) = -p**2 + 10*p + 16. Let f(j) = 2*j**2 - 11*j - 16. Let z be ((-104)/(-12)*-3)/2. Let t = z + 10. Let k(h) = t*y(h) - 2*f(h). Factor k(w).
-(w + 4)**2
Let -120*r**2 - 40/3*r**4 - 54*r - 2/3*r**5 - 236/3*r**3 + 0 = 0. Calculate r.
-9, -1, 0
Let z(w) be the third derivative of 1/360*w**6 + 0*w + 1/6*w**4 + 7*w**2 - 1/3*w**3 + 0 + 1/30*w**5. Let f(a) be the first derivative of z(a). Factor f(x).
(x + 2)**2
Suppose 3*f + 0*f = -4*a + 8, 4*f = 3*a + 19. Suppose -6 = -f*n + n. Factor -15*o**5 - o**n + o**3 + 14*o**5 + 4*o**4 - 3*o**4.
-o**2*(o - 1)**2*(o + 1)
Let o be 4/(-55) + 39/143. Let o*z**3 - 1/5*z**2 + 0*z - 1/5*z**5 + 0 + 1/5*z**4 = 0. Calculate z.
-1, 0, 1
Let b(m) be the second derivative of m**5/230 + 5*m**4/138 - 2*m**3/23 - 56*m - 1. What is k in b(k) = 0?
-6, 0, 1
Let g be 53/((-1749)/110)*-1. Find c such that g*c**3 + 56/3*c + 16/3 + 44/3*c**2 = 0.
-2, -2/5
Let d be 2/18*((-15)/(-14))/5. Let z(b) be the third derivative of -4*b**2 + 0 + 0*b + 0*b**3 + 1/42*b**4 + d*b**5. Factor z(a).
2*a*(5*a + 2)/7
Let x(w) be the first derivative of w**4 - 20*w**3/3 - 2*w**2 + 20*w + 27. Suppose x(u) = 0. Calculate u.
-1, 1, 5
Let l(w) be the third derivative of -w**7/630 - w**6/360 + 2*w**5/45 + w**4/6 + 5*w**2 - 37. Find a such that l(a) = 0.
-2, 0, 3
Let i = 138 - 136. Suppose -14 = l + 5*a + 11, -10 = -2*l + i*a. Factor 0 + 32/5*o**4 + 26/5*o**3 + 6/5*o**2 + l*o + 8/5*o**5.
2*o**2*(o + 3)*(2*o + 1)**2/5
Suppose -t + 3 = 9. Let j(v) = -11*v**3 - 25*v**2 - 29*v - 9. Let p(l) = -10*l**3 - 25*l**2 - 30*l - 10. Let z(n) = t*p(n) + 5*j(n). Factor z(q).
5*(q + 1)**2*(q + 3)
Solve 0 + 3/2*k**2 + 3/2*k = 0.
-1, 0
Let m(t) = 67*t**3 + 139*t**2 - 115*t + 31. Let q(b) = 33*b**3 + 69*b**2 - 57*b + 15. Let u = 43 + -37. Let z(v) = u*m(v) - 13*q(v). Factor z(h).
-3*(h + 3)*(3*h - 1)**2
Let r(w) be the second derivative of 0 + 1/14*w**4 - 12*w - 3/140*w**5 + 6/7*w**2 + 1/2*w**3. Factor r(f).
-3*(f - 4)*(f + 1)**2/7
Let i = -1922/3 - -650. Determine v so that 0 - 2*v**3 - 16/3*v + i*v**2 = 0.
0, 2/3, 4
Let r(c) be the third derivative of -2/11*c**3 - 1/220*c**6 + 1/55*c**5 - 16*c**2 + 0 + 0*c + 1/44*c**4. Factor r(y).
-6*(y - 2)*(y - 1)*(y + 1)/11
Let f(q) = 9*q - 9. Let n(k) = 3*k**2 + 2*k - 1. Let o(t) = t**2 + t. Let s(b) = -n(b) + 2*o(b). Let p(a) = -f(a) - 3*s(a). What is v in p(v) = 0?
1, 2
Suppose 0 = -3*q - 3 + 9. Factor 3 - 3*t**q + 1 - t**2.
-4*(t - 1)*(t + 1)
Let y(q) be the third derivative of 0 + 15*q**2 + 2*q**4 + 1/15*q**6 - 24/7*q**3 - 61/105*q**5 + 0*q - 2/735*q**7. Factor y(i).
-4*(i - 6)**2*(i - 1)**2/7
Let b(w) be the third derivative of w**10/252000 - w**9/50400 - w**8/4800 - w**7/2100 - w**5/4 - 18*w**2. Let k(i) be the third derivative of b(i). Factor k(p).
3*p*(p - 4)*(p + 1)**2/5
Let d 