 0*y - 4/5*y**4 + 0.
2*y**3*(y - 1)**2/5
Let d(r) be the third derivative of 2*r**5/75 - 7*r**4/60 - 12*r**3/5 + 249*r**2. Factor d(s).
2*(s - 4)*(4*s + 9)/5
Let y(i) be the third derivative of i**5/180 - 8*i**4/9 + 62*i**3/9 - 82*i**2. Solve y(v) = 0.
2, 62
Let j = -2/21679 + 51349/43358. Let k = j + 6/19. Factor -3/2*m + k*m**3 - 1/2*m**4 - 1/2*m**2 + 1.
-(m - 2)*(m - 1)**2*(m + 1)/2
Let m(n) = 5*n**2 + 27*n - 16. Let y be m(-6). Let a(u) be the second derivative of 0*u**y - 1/50*u**5 + 1/75*u**6 + 0*u**3 + 0*u**4 + 0 - 4*u. Factor a(c).
2*c**3*(c - 1)/5
Let n(y) = -4*y**3 - 5*y**2 - 10*y + 21. Let q be n(5). Let a = q + 4608/7. Determine b, given that a*b**5 + 3*b - 51/7*b**3 + 3/7*b**2 - 6/7 + 3/7*b**4 = 0.
-1, 2/5, 1/2, 1
Let h(o) be the first derivative of -o**7/2520 - o**6/360 - o**5/180 - 2*o**2 + 21. Let p(b) be the second derivative of h(b). Factor p(n).
-n**2*(n + 2)**2/12
Let l(a) be the second derivative of 0 - 1/40*a**6 + 0*a**4 + 17*a + 0*a**3 + 0*a**2 - 3/40*a**5. Let l(u) = 0. What is u?
-2, 0
Let q = -35 + 37. Determine y so that -6*y**2 + y**5 - 4*y**4 + y**q - 15*y**3 + 14*y**5 + 9*y**4 = 0.
-1, -1/3, 0, 1
Let u = -1181 + 1184. Let i(y) be the first derivative of 0*y - 2/3*y**2 - 4/9*y**u + 8. Find a such that i(a) = 0.
-1, 0
Let p(y) be the second derivative of y**4/12 + 10*y**3/3 - 22*y**2 + 29*y + 4. Factor p(v).
(v - 2)*(v + 22)
Let a(v) be the first derivative of v**6/60 - v**5/10 + v**4/4 - v**3/3 + 7*v**2/2 - 8. Let u(z) be the second derivative of a(z). Find j, given that u(j) = 0.
1
Suppose -20 = -3*v - 5. Factor -v*z - 121 + 58 + 63 - 5*z**2.
-5*z*(z + 1)
Let a(p) be the third derivative of -35/12*p**4 - 20/3*p**3 + 0 - 1/24*p**6 - 7*p**2 + 0*p - 7/12*p**5. Suppose a(s) = 0. Calculate s.
-4, -2, -1
Let q = 3635 + -3635. Determine o, given that 0*o**2 + 3/4*o**4 + 0 + 3/4*o**3 + q*o = 0.
-1, 0
Factor -108*b - 1944 - 3/2*b**2.
-3*(b + 36)**2/2
Let a = -1896 - -1898. Determine g so that 0*g + 1/5*g**3 + 0 + 0*g**a - 1/5*g**4 = 0.
0, 1
Suppose 1 = -5*q + 11. Suppose -d = -5*j - 2, q = d - j - 0. Solve 6 - 12 + 4*y**d + 6 - 2*y**3 = 0 for y.
0, 2
Let b(j) be the first derivative of 3/2*j - 1/2*j**3 - 1/8*j**4 + 1/4*j**2 + 7. Solve b(f) = 0.
-3, -1, 1
Let p be (70/8)/(-7)*3/(-15)*2. Factor -j**2 + 0 + p*j**4 + 0*j + 1/2*j**3.
j**2*(j - 1)*(j + 2)/2
Let g(c) be the first derivative of 2*c**5/5 - 32*c**4 + 682*c**3 + 64*c**2 - 2048*c + 362. Find a, given that g(a) = 0.
-1, 1, 32
Let z(d) = -12*d**4 + 11*d**3 - 7*d**2 + 11*d - 11. Let c(u) = -u**4 + u**3 - u**2 + u - 1. Let y(j) = 22*c(j) - 2*z(j). Solve y(x) = 0.
-2, 0, 2
Let q(c) = c**2 - 7*c + 7. Let d be ((-10)/(-30))/((-1)/(-21)). Let g(r) = 14 + 6*r**2 - 5 - 15*r + 6 - 4*r**2. Let l(i) = d*q(i) - 3*g(i). Factor l(u).
(u - 2)**2
Let l(p) be the second derivative of 14*p**6/135 + 61*p**5/45 - 172*p**4/27 + 88*p**3/27 + 224*p. Suppose l(k) = 0. Calculate k.
-11, 0, 2/7, 2
Let x(h) be the first derivative of h**5/6 - 25*h**4/24 + 85*h**3/36 - 5*h**2/2 - 23*h + 40. Let z(u) be the first derivative of x(u). Solve z(j) = 0 for j.
3/4, 1, 2
Let k(v) be the second derivative of v**5/20 - 4*v**4/3 + 41*v**3/6 - 13*v**2 + 175*v. Let k(p) = 0. What is p?
1, 2, 13
Suppose 18/7*b + 0 + 11/7*b**2 + 1/7*b**3 = 0. Calculate b.
-9, -2, 0
Let d(h) be the third derivative of 0 - 625/39*h**3 - 1/1365*h**7 + 14*h**2 + 1/39*h**6 + 0*h + 125/39*h**4 - 5/13*h**5. Determine p, given that d(p) = 0.
5
Let h(n) be the second derivative of -1/6*n**4 - 4*n**2 + 6*n + 0 + 4/3*n**3. Solve h(k) = 0.
2
Suppose 58 - 88 = -10*h. Determine j so that -11/2*j**2 + 0 - 3*j - h*j**3 - 1/2*j**4 = 0.
-3, -2, -1, 0
Let a = -10/999 - 99710/18981. Let m = a + 1109/171. Determine z, given that z**4 + 5/3*z**3 - 11/9*z**2 - 2/9 - m*z = 0.
-2, -1/3, 1
Let v(n) = n**3 - n - 1. Let z(a) = 33*a**3 - 39*a**2 - 96*a - 42. Let f(b) = -18*v(b) + z(b). Solve f(r) = 0.
-1, -2/5, 4
Factor -64/19*o**3 + 10/19*o**4 + 6*o**2 - 36/19*o + 0.
2*o*(o - 3)**2*(5*o - 2)/19
Let p be (-6)/10 - -28*(-4)/(-20). Suppose 0 = 3*x - 4 - 5. Factor -3 + 6*j + 5*j**4 + 2*j**4 - 11*j**3 + p*j**x - 4*j**4.
3*(j - 1)**3*(j + 1)
Let j(i) be the first derivative of -i**4/16 + 3*i**3/4 - 3*i**2/4 - 4*i + 95. Find t, given that j(t) = 0.
-1, 2, 8
Let x = 15 - 8. Let t = x - 7. Factor t + 2*k + 2 - 3 - k**2.
-(k - 1)**2
Let l be (-3)/((6/10)/(2/(-5))). Solve 75*c + 40 - 3*c**3 + 0*c**3 - 3*c**2 - l*c**3 + 33*c**2 = 0 for c.
-1, 8
Determine d so that 9 + 125*d**2 + 170*d + 5 + 41 + 10*d**3 = 0.
-11, -1, -1/2
Suppose -25*l - 868 = -918. Solve 1/2*n + 1/8 - 3/8*n**4 + 1/4*n**l - 1/2*n**3 = 0.
-1, -1/3, 1
Let m(f) be the first derivative of -162*f - 2/3*f**3 + 28 - 18*f**2. Factor m(q).
-2*(q + 9)**2
Let v = 8/173 - -322/519. Factor -v + 1/3*u + 2/3*u**2 - 1/3*u**3.
-(u - 2)*(u - 1)*(u + 1)/3
Let y(o) = -o - 3. Let a be y(-6). Factor -a*r**2 + 2*r**3 + r**4 + 3*r**2.
r**3*(r + 2)
Factor -32*i**3 + 12*i**2 + 31*i**2 - 24*i + 4*i**4 + 9*i**2.
4*i*(i - 6)*(i - 1)**2
Let b be ((-736)/552)/((-2)/3). Factor 0*a - 1/2*a**b + 9/2.
-(a - 3)*(a + 3)/2
Let h(a) be the second derivative of a**4/16 + 5*a**3/8 - 9*a**2/4 + 2*a - 58. Solve h(i) = 0 for i.
-6, 1
Let f be 2/16*67 + -8. What is n in -3/4*n**4 + 0 + 0*n**3 + f*n**5 + 0*n + 0*n**2 = 0?
0, 2
Find r such that 2/5*r**3 - 24/5*r**2 + 0*r - 2/5*r**5 + 0 + 24/5*r**4 = 0.
-1, 0, 1, 12
Let u(g) be the second derivative of -g**7/168 - g**6/40 - g**5/80 + g**4/16 + g**3/12 - 141*g. Let u(a) = 0. What is a?
-2, -1, 0, 1
Let z(m) = 74*m**2 + 4*m + 12. Let s be z(-4). Determine a so that -3 - 2*a + a - s*a**2 + 1184*a**2 = 0.
-3/4, 1
Let r = 383/3175 + -2/3175. Let d(i) be the first derivative of -3/5*i - r*i**5 - 3/10*i**2 + 2/5*i**3 + 1 - 1/10*i**6 + 3/10*i**4. Find c such that d(c) = 0.
-1, 1
Factor 392/13 - 448/13*d - 2/13*d**3 + 58/13*d**2.
-2*(d - 14)**2*(d - 1)/13
Let w be 4/(-16)*0 - -13. Factor 8*j**4 - 9*j**3 + 8*j**2 - 2*j**5 - w*j**3 - 2*j + 10*j**3.
-2*j*(j - 1)**4
Let l = -509 - -513. Let s(w) be the first derivative of -2*w**3 + 0*w + 3/4*w**l - 7 + 3/2*w**2. Factor s(y).
3*y*(y - 1)**2
Let c = 63 + -59. Factor 0*s**3 + 158 - 4*s**3 + 16*s**2 - 182 - c*s.
-4*(s - 3)*(s - 2)*(s + 1)
Factor 1 - 1/4*i**2 - 3/4*i.
-(i - 1)*(i + 4)/4
Let q(y) = y**4 + y**3. Let a(c) = 4*c**5 - 16*c**4 - 32*c**3 + 8*c**2 + 12*c - 8. Let d(b) = -a(b) - 16*q(b). Factor d(v).
-4*(v - 1)**3*(v + 1)*(v + 2)
Suppose -2*h = -0*h + 2*u + 22, 3*h = 3*u - 15. Let z be (-14)/56 + (-4474)/h. Factor -1 + z*b - 559*b + b**2.
(b - 1)*(b + 1)
Suppose 11*l = -9*l. Let q(c) be the second derivative of l - 30*c**3 - 75/4*c**5 + 75/2*c**4 - 7*c + 12*c**2. Factor q(y).
-3*(5*y - 2)**3
Suppose 0 = -15*v - 14*v + 7*v. Let k(b) be the second derivative of -32*b**2 - 1/3*b**4 + v - 4*b - 16/3*b**3. Factor k(g).
-4*(g + 4)**2
Suppose 32 + 22 = -6*t. Let o be t/(-6)*(2 - 33/18). Factor 1/4*a - o*a**3 + 1/2 + 1/4*a**4 - 3/4*a**2.
(a - 2)*(a - 1)*(a + 1)**2/4
Let o(a) be the second derivative of -a**4/12 + 2*a**2 + 2*a - 2. Factor o(u).
-(u - 2)*(u + 2)
Let l = 1667/16 + -1659/16. Factor l*s**2 + s + 1/2.
(s + 1)**2/2
Let x(c) be the third derivative of -c**5/150 + c**4/60 + 2*c**3/15 - c**2 + 2*c. Factor x(y).
-2*(y - 2)*(y + 1)/5
Let n(q) be the second derivative of -q**5/90 + 2*q**4/9 - 41*q**3/27 + 14*q**2/3 + 150*q. Suppose n(j) = 0. What is j?
2, 3, 7
Find v such that 13*v**2 - 4 - 20*v**2 + 13*v - 8*v + 11*v = 0.
2/7, 2
Let l(s) be the first derivative of 15*s - 35/2*s**2 - 1 + 25/3*s**3 - 5/4*s**4. Factor l(h).
-5*(h - 3)*(h - 1)**2
Let n(c) be the second derivative of c**5/110 - 2*c**4/11 + 12*c**3/11 + 6*c. Factor n(r).
2*r*(r - 6)**2/11
Let y(f) = -4*f**4 - f**3 - f**2 + f - 1. Let j(s) = 19*s**4 + 75*s**3 + 184*s**2 + 141*s + 31. Let k(b) = 5*j(b) + 15*y(b). Find c, given that k(c) = 0.
-7, -2, -1, -2/7
Let r be (-15)/6 + 6/4. Let j(i) = -23 + 7*i + 3*i**2 + 40 + 13*i. Let v(k) = -k**2 + 1. Let m(s) = r*j(s) + 2*v(s). Determine n, given that m(n) = 0.
-3, -1
Let i(h) = -4*h**2 + 28*h + 28. Let d(u) = 4*u**2 - 29*u - 30. Let t(r) = -4*d(r) - 3*i(r). Factor t(c).
-4*(c - 9)*(c + 1)
Suppose 1/4*p**2 + 59/2*p + 3481/4 = 0. Calculate p.
-59
Let d(p) = p**2 - 23*p + 3. Let w be d(0). Factor 5/6*a**4 - 32/3*a - 16/3*a**w + 8/3 + 12*a**2.
(a - 2)**3*