= 0. Calculate j.
-6, -1, 5
Suppose 2*u = 3*u + 5*u. Let o(j) be the third derivative of 1/70*j**5 + 0*j + u - 1/42*j**4 - 1/420*j**6 + 7*j**2 + 0*j**3. Factor o(p).
-2*p*(p - 2)*(p - 1)/7
Let o(d) = -2*d**3 + 21*d**2 - 7*d - 28. Let g be o(10). Factor 7/5*j**g + 0 + 2/5*j.
j*(7*j + 2)/5
Let h = 27/45719 - -46034011/8503734. Let v = -5/62 + h. Factor -44/9*n**2 - v*n**3 - 16/9*n - 2*n**4 - 2/9.
-2*(n + 1)**2*(3*n + 1)**2/9
Let d(y) be the second derivative of -1/6*y**3 - 15*y + 0 + 3*y**2 - 1/12*y**4. Find o, given that d(o) = 0.
-3, 2
Let w be (-369)/(-5) - (6 - 10). Let q = 78 - w. Factor 0 + 0*n - q*n**2.
-n**2/5
Suppose -1 + 4 = m. Let r(a) = -a**3 + 2*a**2 + 5*a - 6. Let g be r(m). Let 2/7*b + g + 2/7*b**2 = 0. Calculate b.
-1, 0
Let k(h) be the first derivative of -h**2 - 1/6*h**4 - 20 + 8/9*h**3 + 0*h. Factor k(o).
-2*o*(o - 3)*(o - 1)/3
Let d(z) be the first derivative of z**7/3360 + z**6/240 + z**3 - 47. Let n(k) be the third derivative of d(k). Find g, given that n(g) = 0.
-6, 0
Let j = -251 - -401. Find p, given that 40 + 10*p**4 - 140*p + 12*p**3 + j*p**2 - 35*p**3 - 42*p**3 = 0.
1/2, 2
Let i(h) be the first derivative of -h**6/2 + 4*h**5 - 6*h**4 - 10*h**3/3 + 27*h**2/2 - 10*h - 141. Solve i(f) = 0 for f.
-1, 2/3, 1, 5
Let b(v) = -10*v**3 - 10*v**2 + 20*v + 25. Let k(g) = -11*g**3 - 11*g**2 + 20*g + 26. Let i(j) = -6*b(j) + 5*k(j). Solve i(p) = 0 for p.
-2, -1, 2
Find n such that -147 - 69 + 28 + 192*n - 4*n**2 = 0.
1, 47
Suppose 0 = m - z + 2, -23*z = -4*m - 24*z + 12. Let j(a) be the second derivative of -4*a + 1/21*a**3 + 0 + 0*a**m + 1/42*a**4. Find n such that j(n) = 0.
-1, 0
Let h(y) = 10*y**4 + 35*y**3 + 45*y**2 + 25*y. Let s(i) = -5*i**4 - 17*i**3 - 22*i**2 - 13*i. Let l(z) = -3*h(z) - 5*s(z). Find a such that l(a) = 0.
-2, -1, 0
Factor 16/5*j**3 - 16/5*j - 24/5*j**2 + 4/5*j**4 + 4.
4*(j - 1)**2*(j + 1)*(j + 5)/5
Let k(g) be the first derivative of 7 + 0*g - 1/30*g**5 + 1/8*g**4 + 1/12*g**2 - 1/6*g**3. Determine b, given that k(b) = 0.
0, 1
Let g(n) be the third derivative of 0 + 22/315*n**7 - 19/90*n**6 - 13/36*n**4 - 5/504*n**8 + 0*n + 2/9*n**3 + 28*n**2 + 16/45*n**5. Factor g(q).
-2*(q - 1)**4*(5*q - 2)/3
Let z(u) be the first derivative of u**6/6 - 3*u**4/4 - 2*u**3/3 + 59. Let z(r) = 0. Calculate r.
-1, 0, 2
Let y be 7*((-348)/(-21) + 4). Let c = y - 1294/9. Let 0 - 4/9*p + c*p**2 = 0. What is p?
0, 2
Let j(y) be the third derivative of 1/30*y**6 + 0*y + 5*y**2 + 3/2*y**4 - 2/5*y**5 + 0 - 8/3*y**3. Factor j(t).
4*(t - 4)*(t - 1)**2
Let x(k) be the first derivative of -k**3 + 6*k - 3/2*k**2 + 21. Suppose x(g) = 0. What is g?
-2, 1
Let d(m) = -m. Let c(p) = p**2 - 3*p**2 - 4*p**2 - 4*p**2. Let s(x) = c(x) - 4*d(x). Factor s(r).
-2*r*(5*r - 2)
Let y be (138/60)/((-1)/(-2)). Let d(j) be the first derivative of 16*j - 5/6*j**6 + 5 - 32/3*j**3 + 16*j**2 - 5*j**4 + y*j**5. Solve d(a) = 0 for a.
-1, -2/5, 2
Let a be ((-10235)/(-8))/5 - (-1)/8. Factor 0*l**2 + a + 57*l + 7*l + 4*l**2.
4*(l + 8)**2
Suppose 53*t + 48 = 50*t. Let m be ((-20)/t + -1)/1. Solve 1/2*b**2 - m*b - 1/2 + 1/4*b**3 = 0 for b.
-2, -1, 1
Let w(p) = p**2 + 5*p + 4. Let v be w(-5). Factor 0*s**5 - 3*s**v - 13*s**2 + 12*s**2 - 3*s**3 - s**5.
-s**2*(s + 1)**3
What is a in 2/3 + 10/3*a**2 + 4*a = 0?
-1, -1/5
Suppose 8 + 12 = 4*t. Find j, given that -t - 38*j**2 - 5*j + 40*j**2 - 5*j + 13 = 0.
1, 4
Let x(q) be the first derivative of q**4/8 + 5*q**3/3 + 23*q**2/4 + 7*q + 203. Factor x(f).
(f + 1)*(f + 2)*(f + 7)/2
Let -40*q**2 + 9*q + 11*q + 115*q**3 - 35*q**4 - 210*q**3 = 0. Calculate q.
-2, -1, 0, 2/7
Let l = 11 - 8. Factor 3*c - c**l - 2*c**2 + 0*c**2 - 4*c.
-c*(c + 1)**2
Let z = -16679 + 33359/2. Determine c so that -1/2*c**2 - z - c = 0.
-1
Let w be 76/171 + (-327)/(-540). Let z(k) be the second derivative of 0 + 7/2*k**3 + 3*k**2 - w*k**5 - 1/2*k**4 + 13*k. Find t such that z(t) = 0.
-1, -2/7, 1
Suppose -8 = 14*z - 13*z. Let s(q) = -q - 5. Let m be s(z). Factor -39*u**2 - 63*u**m + 12 + 10*u + 12*u + 14*u.
-3*(u + 1)*(3*u - 2)*(7*u + 2)
Let w(t) be the third derivative of -t**8/1512 - 16*t**7/945 - 29*t**6/540 - 7*t**5/135 + 2*t**2 - 23. Find n, given that w(n) = 0.
-14, -1, 0
Let r(v) be the second derivative of 9/2*v**2 + 0 + 12*v - 1/4*v**3 - 1/8*v**4. What is b in r(b) = 0?
-3, 2
Let k = -54 + 66. Let -11*h**2 - 9*h**2 - k*h + 22*h**2 = 0. What is h?
0, 6
Let r(z) = 7*z**2 - 8*z + 3. Suppose -2*m = 19 - 7. Let b(q) = -7 + 4*q**2 - 23*q**2 + 10*q**2 + 17*q - 6*q**2. Let h(j) = m*b(j) - 13*r(j). Factor h(w).
-(w - 3)*(w + 1)
Factor 19/4*j - 91/4*j**2 + 1/2.
-(7*j - 2)*(13*j + 1)/4
Suppose 2*k = 57 - 27. Factor -19*r + 14*r**4 + 13*r - 7*r**3 - 8 - 14*r - k*r**4 - 18*r**2.
-(r + 1)*(r + 2)**3
Factor -47*h - 1922 + 130*h + 41*h - 2*h**2.
-2*(h - 31)**2
Let a = 139 + -135. Let l be ((-3)/(-5))/((-2)/(-10)). Let 4*d**3 + 4*d**2 + 0*d**2 - d**l - 6*d**2 - d**a = 0. Calculate d.
0, 1, 2
Let f be 7*((-54)/(-21) + -2). Solve f*k - 12*k**2 - 3*k + 11*k**2 = 0.
0, 1
Let j(r) = -5*r**3 + 36*r**2 + 101*r + 50. Let a(h) = -25*h**3 + 178*h**2 + 508*h + 250. Let d(u) = -2*a(u) + 11*j(u). Let d(b) = 0. What is b?
-1, 10
Let x(i) = 9*i**5 - 51*i**4 + 5*i - 5. Let b(n) = 4*n**5 - 26*n**4 + 2*n - 2. Suppose 4*r = -0*r, 3*r + 25 = 5*p. Let f(z) = p*b(z) - 2*x(z). Factor f(y).
2*y**4*(y - 14)
Let y be 392/84*(-6)/20 + (-267)/(-105). Factor -y - 8/7*n - 2/7*n**2.
-2*(n + 2)**2/7
Let b(k) be the third derivative of 0*k**3 + 0*k + 1/15*k**5 + 0*k**4 + 0 - 1/84*k**8 - 2/105*k**7 + 1/30*k**6 + 48*k**2. Solve b(l) = 0.
-1, 0, 1
Suppose 4*q = c - 2, 5*c + 105 - 115 = 4*q. Let u(h) be the third derivative of -2/15*h**3 - 9*h**2 + 0*h**4 + 0*h + q + 1/75*h**5. Factor u(i).
4*(i - 1)*(i + 1)/5
Let b(r) be the first derivative of 0*r - r**2 + 19 + 1/3*r**3. Solve b(m) = 0.
0, 2
Let x(b) = -b - 1. Let u(m) = 585*m**2 + 225*m + 25. Let y(n) = n - 1. Let z be y(-4). Let c(s) = z*x(s) - u(s). Factor c(l).
-5*(9*l + 2)*(13*l + 2)
Suppose j + 0*j = 19. Let w = 19 - j. What is p in -64 - p**3 - 12*p**2 - 66*p + w*p**2 + 18*p = 0?
-4
Let i = 11 + -9. Suppose 0 = v + i*v - 12. Find u, given that -2*u**2 + 3*u**v + 3*u**4 + u**3 + 3*u**3 = 0.
-1, 0, 1/3
Determine z so that -42/5*z**4 + 0 - 192/5*z - 312/5*z**2 - 36*z**3 - 3/5*z**5 = 0.
-8, -2, 0
Suppose -16 = 10*h - 14*h. Suppose 0 = m - h - 1. Solve 0*t - 3/2*t**m + 0 + 3/2*t**2 - 3/2*t**4 + 3/2*t**3 = 0.
-1, 0, 1
Let k(j) = -6*j**4 + 5*j**3 - 10*j**2 + 13*j + 2. Let v = -39 + 43. Let g(p) = -p**4 - p**3 + p**2 + p + 1. Let b(a) = v*g(a) - k(a). Factor b(s).
(s - 2)*(s - 1)**2*(2*s - 1)
Let m = -45394 - -45394. Factor m*u + 1/3*u**2 - 1/3.
(u - 1)*(u + 1)/3
Let n(z) = 9*z**3 + 9*z**2 - 36*z + 27. Let o = 125 - 130. Let m(c) = c**4 - 18*c**3 - 17*c**2 + 72*c - 53. Let t(a) = o*n(a) - 3*m(a). Factor t(i).
-3*(i - 2)**2*(i - 1)*(i + 2)
Suppose -121 + 115 = 3*f + 4*t, 2*f + t = 1. Let z = 1103/245 + -5/49. Factor o**f + 8/5 - z*o.
(o - 4)*(5*o - 2)/5
Let o(h) be the third derivative of -h**7/42 + h**6/120 + h**5/4 - 13*h**4/24 + h**3/3 + 107*h**2. Find z, given that o(z) = 0.
-2, 1/5, 1
Let n(f) be the first derivative of 2*f**5/9 + 11*f**4/9 - 14*f**3/27 - 32*f**2/3 - 8*f + 416. Suppose n(z) = 0. Calculate z.
-3, -2/5, 2
Suppose 106 + 44 - 36 = 38*o. Let -136/21*y + 50/21*y**4 - 8/7 - 74/7*y**2 - 20/7*y**o = 0. Calculate y.
-1, -2/5, 3
Let u be (4 + -1)*((-6)/(-1) + -5). Suppose 14*d - 34 = -u*d. Factor 4/3 - 10/3*p - 2/3*p**4 + 2*p**d + 2/3*p**3.
-2*(p - 1)**3*(p + 2)/3
Let d(b) be the third derivative of 0 - 1/24*b**6 - 245/2*b**4 + 0*b - 6860/3*b**3 - 7/2*b**5 - 43*b**2. Factor d(r).
-5*(r + 14)**3
Let z be (20/50)/(2/(-30)). Let j be 18/12*(-8)/z. Determine w, given that w**2 + 5*w**2 - j*w**2 - 2 - 2*w = 0.
-1/2, 1
Let i(h) = -h**3 - h**2 + 3*h + 2. Let r be i(0). Let -12 - 24*g + 3*g**2 + 0*g**2 - 5*g**r - 7*g**2 = 0. Calculate g.
-2, -2/3
Let h(m) = 8*m**3 - 19*m**2 + 26*m - 12. Let c(q) = -58*q**3 + 134*q**2 - 182*q + 84. Let r(w) = -6*c(w) - 44*h(w). Find b, given that r(b) = 0.
1, 6
Suppose y + t + 1 = 3*y, y + 5*t = 28. Let d be 148/48 + -3 - (-2)/y. Factor d*z + 0 - 15/4*z**3 - 3*z**2.
-3*z*(z + 1)*(5*z - 1)/4
Let b(r) be the second derivative of -18*r + 0 + 1/6*r**4 - 1/3*r**3 - 2*r**2. Factor b(g).
2*(g - 2)*(g + 1)
Let c(k) be t