15*n + 10. Let q(w) = -4*h(w) + 7*p(w). Factor q(j).
-(j - 2)*(j - 1)*(j + 3)
Let f(h) be the second derivative of 2*h + 1 - 1/50*h**5 - 2/5*h**2 + 1/15*h**3 + 1/15*h**4. Factor f(b).
-2*(b - 2)*(b - 1)*(b + 1)/5
Let a(f) be the second derivative of 4*f**6/3 - 27*f**5/5 + 7*f**4 - 2*f**3/3 - 6*f**2 + 2*f + 911. Suppose a(c) = 0. Calculate c.
-3/10, 1
Let q be 0 + 8/(-6)*1*-2. Let f = q + -2. Solve 2/3*j - 2/3*j**3 - 2/3*j**2 + f*j**4 + 0 = 0.
-1, 0, 1
Let j(v) be the second derivative of 0*v**2 - 1/12*v**4 + 1/30*v**6 + 1/20*v**5 - 4*v + 0 - 1/6*v**3. Solve j(k) = 0.
-1, 0, 1
Let x(n) = -8*n**2 - 2 + 5*n**2 + 2*n**2 + 5*n. Let t be x(4). Factor -12*b**3 - 4*b**4 - 2*b**2 + 3*b**t + 9*b**3.
-b**2*(b + 1)*(4*b - 1)
Let x(b) = -b**3 + 7*b**2 + 15*b - 11. Let w be x(8). Let c be (-8)/(-18) + 160/w. Factor 6/11*v**c + 6/11*v**3 + 0 + 2/11*v**2 + 0*v + 2/11*v**5.
2*v**2*(v + 1)**3/11
Let b(v) = -4*v**3 + 24*v**2 - 12*v + 8. Let d(u) = -2. Let k(h) = b(h) + 24*d(h). Factor k(s).
-4*(s - 5)*(s - 2)*(s + 1)
Let j(p) = -p**3 + 36*p**2 + 430*p + 1734. Let m(d) = d**3 + d - 3. Let y(x) = -3*j(x) - 6*m(x). Determine h, given that y(h) = 0.
-12
Suppose 312/5 - 784/5*n + 14/5*n**3 - 1082/5*n**2 = 0. What is n?
-1, 2/7, 78
Let d be (-1 - 9)/(4/24*-2). Factor 10*n**3 - d*n + 27*n**4 - 146*n**5 + 41*n**4 - 23*n**4 - 5 + 166*n**5 - 40*n**2.
5*(n - 1)*(n + 1)**3*(4*n + 1)
Let k(j) = 4*j**2 + 2*j - 24. Let t(q) = 11*q**2 + 8*q - 72. Let a(z) = 17*k(z) - 6*t(z). Factor a(x).
2*(x - 4)*(x - 3)
Let n(y) = y**3 + 4*y**2 - 6*y + 1. Let i = -7 + 2. Let m be n(i). Suppose 2 + 2*u**4 - 5 - m*u**2 + 3 - 4*u = 0. Calculate u.
-1, 0, 2
Let x = 16 - 16. Let w = 240 - 1196/5. Find v such that w*v - 2/5*v**2 + x = 0.
0, 2
Let r(p) be the second derivative of p**7/252 - p**6/15 + 13*p**5/60 + 20*p**4/9 - 75*p**3/4 + 125*p**2/3 + 25*p - 3. Determine g so that r(g) = 0.
-4, 1, 5
Let r(x) be the third derivative of x**8/336 + 2*x**7/105 + x**6/20 + x**5/15 + x**4/24 - 4*x**2 + 3. Solve r(g) = 0 for g.
-1, 0
Let a(m) = 2*m**2 + m - 1. Let q(s) = -7*s**2 - 96*s + 411. Let d(x) = 6*a(x) + q(x). Factor d(k).
5*(k - 9)**2
Let v be 8*8/(220/33*3). Factor -12/5 - 4/5*k**2 - v*k.
-4*(k + 1)*(k + 3)/5
Let r(x) be the first derivative of 17 + 0*x + 9*x**3 + 0*x**2 + 9/2*x**4 + 3/5*x**5. Factor r(a).
3*a**2*(a + 3)**2
Let d(a) be the second derivative of a**7/98 + a**6/210 - a**5/35 + 112*a + 2. Determine p, given that d(p) = 0.
-4/3, 0, 1
Suppose -5*a - b + 17 = 0, 2*a - b = -0*a + 4. Suppose 67*v = 66*v + a. Factor 20*w**2 + 29*w - 12*w**3 - 34*w - v*w**3.
-5*w*(w - 1)*(3*w - 1)
Suppose 2*y = 7*y. Suppose y*l - 4*l + 8 = 0. Factor 2*u + 3*u - l*u - u**2 - 2*u.
-u*(u - 1)
Let u(d) be the second derivative of -d**4/102 + 6*d**3 - 1377*d**2 - 313*d. Solve u(c) = 0 for c.
153
Let n(u) = 7*u**2 + 19*u + 24. Let d(q) = 12*q**2 + 38*q + 46. Let o(h) = -3*d(h) + 5*n(h). Find v such that o(v) = 0.
-18, -1
Let a(j) be the first derivative of -9*j**4/2 + 4*j**3/3 + 9*j**2 - 4*j + 35. Determine l so that a(l) = 0.
-1, 2/9, 1
Factor 54 - 6*a**2 - 23*a + 410*a**3 - 407*a**3 - 4*a.
3*(a - 3)*(a - 2)*(a + 3)
Let u(q) be the second derivative of q**3/3 - 3*q**2 - q. Let s be u(5). Find p such that p - 2*p - s - 3*p**2 + 4 = 0.
-1/3, 0
Suppose 13 = 3*k - 5. Let a be (5/(-10))/(k/(-4)). Suppose -1/3*r - 2/3 + a*r**2 = 0. Calculate r.
-1, 2
Let u be (-10 + -2 - -14)/(15 + -3). Suppose -1/2*j**2 + u*j**3 - 1/3 + 1/6*j**4 - 5/6*j = 0. What is j?
-1, 2
Let c(a) = -a**2 + 1. Let j(y) = 10*y**2 + 24*y - 34. Let p(u) = -6*c(u) - j(u). Factor p(z).
-4*(z - 1)*(z + 7)
Let y = 837 - 835. Let h(c) be the second derivative of 0*c**y + 1/2*c**4 - 13/40*c**5 - 1/3*c**3 - 1/84*c**7 + 1/10*c**6 + 5*c + 0. Factor h(b).
-b*(b - 2)**2*(b - 1)**2/2
Let p(a) be the first derivative of 3*a**4/4 + 6*a**3 - 27*a**2/2 - 42*a + 5. Factor p(o).
3*(o - 2)*(o + 1)*(o + 7)
Let h(g) be the third derivative of g**8/33600 - g**7/12600 + 7*g**4/8 - 18*g**2. Let o(p) be the second derivative of h(p). Factor o(b).
b**2*(b - 1)/5
Let o(b) = -b**3 + 5*b**2 + 8*b - 6. Let a be o(6). Suppose 0 = -4*w - 2*v + 8, -3*w + 0*w - 5*v = -a. Factor -2/13 - 6/13*i + 8/13*i**w.
2*(i - 1)*(4*i + 1)/13
Let j(d) = 12*d**2 + 64*d - 40. Let b(z) = 13*z**2 + 65*z - 42. Suppose 0 = 10*q - 5*q - 20. Let k(u) = q*b(u) - 5*j(u). Suppose k(x) = 0. Calculate x.
-8, 1/2
Let a = -17782/9 - -1976. Suppose a*n - 2/9 - 2/9*n**3 + 2/9*n**2 = 0. What is n?
-1, 1
What is h in -4*h**4 - h**2 - 2*h - 2*h**4 + 7*h**4 - 12*h - 6*h**3 + 20*h**3 = 0?
-14, -1, 0, 1
Let x(m) be the first derivative of 2/7*m**2 + 0*m - 1/14*m**4 - 2/21*m**3 - 18. Factor x(s).
-2*s*(s - 1)*(s + 2)/7
Let k = -2277 + 2280. Solve 2/7*s - 4/21 + 0*s**2 - 2/21*s**k = 0.
-2, 1
Let c(m) = -2*m**2 - 283 - 3*m**2 + 3*m**3 + 277 - 9*m. Let j(o) = o**3 + o**2 + o. Let g(w) = c(w) - 5*j(w). Determine b, given that g(b) = 0.
-3, -1
Let f be (-7)/(154/3) - (-10)/55. Let z(h) be the first derivative of 0*h**5 + 0*h + 3 + 0*h**2 - f*h**4 + 0*h**3 + 1/33*h**6. Factor z(l).
2*l**3*(l - 1)*(l + 1)/11
Suppose 0*o - 2*o + 20 = 5*h, 3*h - 2*o = 28. Suppose 4*q = 4*j + 4, -h*j + 2*j + 16 = q. Suppose -z**4 - z**3 + z**2 - 2*z**2 + 3*z**j = 0. What is z?
0, 1
Let u be (-3)/(-2) + 0 - ((-8125)/130)/125. Factor 16/5 + 6/5*c - 1/5*c**u.
-(c - 8)*(c + 2)/5
Let l(q) = -16*q**2 + 25*q + 3. Let z(g) = 14*g**2 - 24*g - 6. Let s(y) = -8*l(y) - 9*z(y). Factor s(v).
2*(v + 3)*(v + 5)
Let u(p) be the third derivative of p**5/300 + p**4/10 + 2*p**2 - 3*p. Factor u(x).
x*(x + 12)/5
Let b(k) = -5*k + 151. Let f(r) = 3*r - 76. Let z(h) = -6*b(h) - 11*f(h). Let q be z(-24). Factor 0 + 2*t**3 + 0*t - 4/5*t**q.
2*t**2*(5*t - 2)/5
Let b(s) be the second derivative of s**5/230 + 5*s**4/138 - s**3/69 - 5*s**2/23 + s - 12. Factor b(m).
2*(m - 1)*(m + 1)*(m + 5)/23
Let h(p) be the third derivative of -p**8/840 - 2*p**7/105 - 2*p**6/25 + p**5/15 + 5*p**4/12 - 74*p**2. What is o in h(o) = 0?
-5, -1, 0, 1
Let q(r) be the second derivative of -r**4/42 + 17*r**3/7 + 6*r - 32. Suppose q(d) = 0. What is d?
0, 51
Let a be (5 + 290/(-60))/(2/2). Solve -a*w**2 - 5/6*w - 2/3 = 0 for w.
-4, -1
Suppose -a - 43 = -2*q - 8, 4*q - 3*a = 65. Let i = q - 17. Let -k - 6*k**4 + 7*k**4 + 4*k**i - k**2 - 3*k**3 = 0. What is k?
-1, 0, 1
Let z(c) be the third derivative of -8*c**7/105 + 37*c**6/30 - 23*c**5/5 - 85*c**4/6 + 50*c**3/3 - 99*c**2. Solve z(o) = 0.
-1, 1/4, 5
Let v be (132/21 - -2) + 6*-1. Determine b, given that 16/7*b - 76/7*b**2 - v*b**3 + 60/7*b**4 + 16/7 = 0.
-1, -2/5, 2/3, 1
Let u(a) be the second derivative of 0*a**2 - 1/24*a**4 - 1/20*a**6 - 3/40*a**5 - 1/84*a**7 - 16*a + 0*a**3 + 0. Factor u(f).
-f**2*(f + 1)**3/2
Let i(b) = -4*b**2 - 2*b - 2. Let h be i(-2). Let j = h - -17. Suppose 5*r**5 - 4*r**5 + r**3 + j*r**4 - 5*r**4 = 0. Calculate r.
0, 1
Let d(k) be the first derivative of -4*k**6/135 + k**5/30 + k**4/54 - 2*k + 7. Let a(v) be the first derivative of d(v). Suppose a(j) = 0. What is j?
-1/4, 0, 1
Factor -309 + 767 - 266 + 2*w**4 - 31*w**2 + 112*w + 7*w**2 - 12*w**3.
2*(w - 6)*(w - 4)*(w + 2)**2
Let g = -2369 - -2372. What is u in 2/11*u**g - 2/11*u**2 - 2/11*u + 2/11 = 0?
-1, 1
Let y(j) = j**2 + 7*j + 15. Let w be y(-6). Let h be 10/w*(72/20 - 3). Factor -4/3*o - 15/2*o**4 + 0 + h*o**2 + 7*o**3.
-o*(3*o - 2)**2*(5*o + 2)/6
Let a(y) = y**4 + y**3 + 13*y**2 + 3*y + 2. Let b = 51 - 71. Let m(k) = k**3 - k**2 + k. Let i(x) = b*m(x) - 5*a(x). Determine z, given that i(z) = 0.
-2, -1
Determine z so that 0*z - 2/3*z**2 - 2/3*z**3 + 0 = 0.
-1, 0
Suppose -2*z + 0*z - 2 = 0, 0 = -2*n - 2*z. Find r such that 6*r - n + 8*r**2 + 1 - 5*r**2 = 0.
-2, 0
Let v be (33/9 + -3)/((-2)/(-60)). Suppose -145 = -5*n - v. Determine c, given that 8/5 + 5*c**3 - 52/5*c + 18*c**2 - n*c**4 = 0.
-1, 2/5
Factor 2/3*z**3 - 26/9*z**2 - 8/9 + 32/9*z.
2*(z - 2)**2*(3*z - 1)/9
Let b(q) = 5*q**3 + 3*q**2 - 5*q + 3. Let v(l) = -7*l**3 - 3*l**2 + 6*l - 4. Let k(x) = -4*b(x) - 3*v(x). Determine z, given that k(z) = 0.
0, 1, 2
Let i(v) = 4*v**3 + 6*v**2 + 6*v - 14. Let g(m) = m**3 + m - 1. Let q = -23 - -17. Let j(o) = q*g(o) + i(o). Let j(z) = 0. What is z?
-1, 2
Let q(l) = 5*l**4 + 1590*l**3 + 126393*l**2 - 4*l + 4. Let z(n) = -3*n**2 - n + 1. Let d(b) = q(b) - 4*z(b). Factor d(a).