= -5*k**2 - k. Let t be u(1). Let j(d) = -4*d**2 + 33*d - 23. Let b(m) = -2*m**2 + 16*m - 12. Let q(r) = t*j(r) + 10*b(r). What is w in q(w) = 0?
1/2, 9
Let s(d) be the first derivative of d**5/150 - d**4/20 + 2*d**3/15 + 6*d**2 - 2. Let t(h) be the second derivative of s(h). Find k, given that t(k) = 0.
1, 2
Let t(i) = 3*i**3 + i**2 - 4*i + 4. Let h(j) = -13*j**3 - 5*j**2 + 16*j - 16. Let p(c) = -2*h(c) - 9*t(c). Solve p(n) = 0 for n.
-2, 1, 2
Let h be ((-2)/(-45))/(0 + 16/10). Let p = h + 13/18. Factor 1/4*d**4 + p*d**3 + 0*d + 1/2*d**2 + 0.
d**2*(d + 1)*(d + 2)/4
Let j(y) = -y**3 - 18*y**2 - y - 5. Let x be j(-18). Let l = 43/3 - x. Factor -l + 2/3*p + 2/3*p**2.
2*(p - 1)*(p + 2)/3
Let g = -2739/13 + 2779/52. Let r = -157 - g. Find k, given that 5/4*k - 1/4*k**3 + r*k**4 - 1/2 - 3/4*k**2 = 0.
-2, 1
Factor 18/7*g**2 + 0 - 810/7*g - 2/7*g**4 + 26/7*g**3.
-2*g*(g - 9)**2*(g + 5)/7
Let i(x) = 2*x**2 + 8*x + 14. Let k be i(-6). Let h be ((-1)/(-3))/((-5)/(8 - k)). Factor 12/7*a + 12/7*a**h + 3/7*a**3 + 0.
3*a*(a + 2)**2/7
Suppose 2*r - 48 = -2*r. Factor 5*k**5 - 9*k - r*k**3 + 4*k**4 + k**4 - 3*k**3 - 25*k**2 - k.
5*k*(k - 2)*(k + 1)**3
Suppose 8*o - 43 = 53. Solve 22*p**2 + o*p**4 - 10 - 32*p**2 - 45*p + 29*p**3 + 16*p**3 + 8*p**4 = 0.
-2, -1, -1/4, 1
Let g(s) be the second derivative of -s**5/75 + s**4/15 - 2*s**3/15 + 5*s**2 - 10*s. Let i(r) be the first derivative of g(r). Factor i(p).
-4*(p - 1)**2/5
Let c(w) be the first derivative of 12*w**4 - 136*w**3 + 195*w**2/2 - 24*w + 96. Let c(x) = 0. Calculate x.
1/4, 8
Let j be -3 + (5 - -3) + -3. Find r, given that -3/2*r**j + 1/2*r + 3/2 - 1/2*r**3 = 0.
-3, -1, 1
Let l(u) be the third derivative of u**6/120 + 3*u**5/40 + u**4/4 - 23*u**3/6 + 12*u**2. Let m(g) be the first derivative of l(g). Solve m(v) = 0.
-2, -1
Factor 18*h + 5*h**2 + 22*h - 97*h - 8*h + 110.
5*(h - 11)*(h - 2)
Suppose r + 6 = -1. Let w = -2 - r. Factor 8*s - 2 + w - 4*s**2 - 3.
-4*s*(s - 2)
Let l(w) be the first derivative of w**3/18 + 2*w**2 + 22*w/3 + 85. Factor l(b).
(b + 2)*(b + 22)/6
What is z in -21*z**2 - 10*z**2 - 18*z**3 - 3*z**2 + 10*z**4 - 6*z = 0?
-1, -1/5, 0, 3
Let t be (-144)/(-760)*15/9. Factor 8/19 - 2/19*x**2 + t*x.
-2*(x - 4)*(x + 1)/19
Suppose 4 = 3*a - h, 43 = h + 38. Solve 16/11*s**5 - 2*s**a + 6/11*s + 14/11*s**2 - 2/11 - 12/11*s**4 = 0.
-1, -1/2, 1/4, 1
Let q(g) be the first derivative of -2*g**5/15 + 35*g**4/3 - 46*g**3/3 + 436. Factor q(h).
-2*h**2*(h - 69)*(h - 1)/3
Suppose -96 = -12*p + 6*p. Suppose 0 = 3*c - 0*h + 2*h - p, -13 = -4*c - h. Determine j, given that 3 + 1/3*j**2 + c*j = 0.
-3
Let z(n) be the first derivative of 10*n**3/21 - 24*n**2/7 - 10*n/7 - 286. Suppose z(c) = 0. Calculate c.
-1/5, 5
Let o be (-212)/159*(-45)/4. Suppose 5*l - o = -0. Let 0*z - 1/11*z**4 + 0*z**l + 2/11*z**2 - 1/11 = 0. Calculate z.
-1, 1
Let l(t) be the first derivative of 10*t**3/11 + 261*t**2/11 + 204*t/11 + 54. Factor l(i).
6*(i + 17)*(5*i + 2)/11
Let a(u) be the third derivative of 0 + 0*u + 8*u**2 + 0*u**3 + 3/5*u**5 - 1/3*u**4. Find h such that a(h) = 0.
0, 2/9
Let z(k) be the second derivative of k**5/38 + 7*k**4/114 + 2*k**3/57 - 9*k. Factor z(t).
2*t*(t + 1)*(5*t + 2)/19
Let n = 187 - 229. Let f be (-15)/n*(-20)/(-25). Solve -4/7*v**3 - 2/7*v**2 + 0 + f*v**4 + 4/7*v = 0 for v.
-1, 0, 1, 2
Let h = 39 - 58. Let j = 21 + h. Determine k so that 2/7*k**j - 2/7 + 2/7*k**3 - 2/7*k = 0.
-1, 1
Let k = 13097 - 91670/7. Factor -3/7*q**3 + 9/7 - k*q**2 + 3/7*q.
-3*(q - 1)*(q + 1)*(q + 3)/7
Let x(u) be the first derivative of -4*u**2 + 0*u + 4/3*u**3 + 24 + u**4. Factor x(p).
4*p*(p - 1)*(p + 2)
Let d(u) be the third derivative of -u**5/450 + 2*u**4/45 - 4*u**3/15 - 2*u**2 + 50. Solve d(m) = 0 for m.
2, 6
Let l(u) be the second derivative of u**5/110 - 4*u**3/33 + 20*u. Factor l(s).
2*s*(s - 2)*(s + 2)/11
Solve -12/5*w**3 + 6/5*w + 6/5*w**5 - 4/5*w**4 - 4/5 + 8/5*w**2 = 0.
-1, 2/3, 1
Let b = 13 - 11. Suppose 3*n = 3*t + 54, t + 2*t = -b*n + 16. Factor -n*q**2 - q**4 + 12*q**2 + 3*q**4.
2*q**2*(q - 1)*(q + 1)
Let -5/4*v**2 + 1/4*v**3 + 5/4 - 1/4*v = 0. What is v?
-1, 1, 5
Let q be (-57)/(1*1/3). Let s = q - -1199/7. Determine k so that 4/7*k**2 + s - 9/7*k = 0.
1/4, 2
Let z(w) = 11*w**3 - 440*w**2 + 1298*w - 864. Let n(c) = -5*c**3 + 221*c**2 - 650*c + 432. Let s(y) = 5*n(y) + 2*z(y). Factor s(v).
-3*(v - 72)*(v - 2)*(v - 1)
Let n = -2/25495 - -76489/50990. Find u, given that -9/2*u**3 + 0 + n*u**4 + 0*u + 3*u**2 = 0.
0, 1, 2
Suppose -12*x + 5*b = -13*x - 17, 4*b = -2*x - 10. Determine j, given that 2/5*j**x - 8/15*j**2 + 4/15 - 2/3*j = 0.
-1, 1/3, 2
Let t(h) be the first derivative of -3*h**5/140 + 3*h**4/28 - h**3/7 + 16*h + 10. Let j(r) be the first derivative of t(r). Determine d so that j(d) = 0.
0, 1, 2
Find a, given that -12/7*a + 0 - 2/7*a**2 = 0.
-6, 0
Suppose 3*p + 2*p + 85 = 0. Let u = p + 16. Let n(o) = o. Let m(q) = -3*q**2 - 6. Let h(b) = u*m(b) + 9*n(b). Factor h(t).
3*(t + 1)*(t + 2)
Let h be (-268)/52 + (-2)/(-13). Let n = h + 9. Determine k, given that -5*k**5 - 7*k**n + 4*k**2 - 9*k**4 - k**5 - 6*k**3 = 0.
-2, -1, 0, 1/3
Find c, given that 6*c**3 - 8*c**3 - 80*c + 74*c - 7*c**2 - c**2 = 0.
-3, -1, 0
Let m(o) be the second derivative of -o**5/4 - 25*o**4/12 + 281*o. Solve m(f) = 0 for f.
-5, 0
Suppose 5*q = 2*b + 4, -2*q - 5 = -3*b - 0. Suppose 0 = 5*g + b*v - 10, -g = 2*g - 4*v - 6. Solve g - 2 - 27*u**4 - 8*u**2 - 56*u**3 - 71*u**4 = 0 for u.
-2/7, 0
Factor -1/5*s**2 - 3/5*s - 2/5.
-(s + 1)*(s + 2)/5
Let w(i) be the first derivative of 2*i**3/21 + 110*i**2/7 + 6050*i/7 - 297. Factor w(h).
2*(h + 55)**2/7
Let s(t) = t**3 - 20*t**2 - 67*t - 43. Let i be s(23). Let m(z) be the first derivative of 10 + 3/8*z**2 - 1/12*z**i - 1/2*z. Factor m(u).
-(u - 2)*(u - 1)/4
Suppose 99*v = -501*v + 44*v + 2224. Factor 96*z + 80*z**3 + 0 + 192*z**2 + 112/9*z**v + 2/3*z**5.
2*z*(z + 6)**3*(3*z + 2)/9
Let a be 497/(-315) + 1*(-4)/20 + 2. Factor 2/9*i**2 + 2/9*i**3 - 2/9*i - a*i**4 + 0.
-2*i*(i - 1)**2*(i + 1)/9
Let z(j) be the second derivative of 3*j**5/25 - 13*j**4/30 + 8*j**3/15 - j**2/5 + 2*j - 71. Factor z(d).
2*(d - 1)**2*(6*d - 1)/5
Suppose 30*y + 18 = 39*y. Determine w, given that -w - 1/4*w**y - 1 = 0.
-2
Let g(q) be the second derivative of -2*q**2 + 13*q - 1/10*q**6 + 83/20*q**5 + 0 + 0*q**3 - 9/14*q**7 + 21/4*q**4. Solve g(w) = 0 for w.
-1, -1/3, 2/9, 2
Let d(z) be the second derivative of z**6/1620 + z**5/135 - 3*z**3/2 - 10*z. Let g(f) be the second derivative of d(f). Let g(c) = 0. Calculate c.
-4, 0
Let c(d) be the second derivative of -d**9/37800 + d**7/6300 + 5*d**4/4 - 3*d. Let q(w) be the third derivative of c(w). Let q(o) = 0. Calculate o.
-1, 0, 1
Suppose l - 9 = 2*m + 3, -10 = 2*m. Factor 14*c**4 + 4*c**4 - 18*c**2 - l + 2*c**2 + 8*c**5 - 7*c**3 + 11*c**3 - 12*c.
2*(c - 1)*(c + 1)**3*(4*c + 1)
Let i(w) be the third derivative of -w**5/30 + w**4/6 + 5*w**3 + 42*w**2 - 3. Solve i(n) = 0 for n.
-3, 5
Let r(i) be the second derivative of -i**6/90 - 2*i**5/15 + i**4/4 + 6*i**3 - 18*i**2 - 11*i - 10. Let r(s) = 0. What is s?
-6, 1, 3
Let g(r) be the first derivative of -r**5 - 5*r**4 - 10*r**3 - 10*r**2 - 5*r + 96. Factor g(o).
-5*(o + 1)**4
Let n(p) be the first derivative of 2*p**5/85 - 15*p**4/34 + 94*p**3/51 - 33*p**2/17 + 483. Suppose n(l) = 0. What is l?
0, 1, 3, 11
What is w in -178*w**3 - 35*w**4 + 10 + 207*w**2 + 11*w + 3*w**3 - 96*w + 18*w**2 + 60*w**5 = 0?
-2, 1/4, 1/3, 1
Let a(c) be the third derivative of -2*c**5/5 + 7*c**4/8 + c**3/2 - 273*c**2. Factor a(w).
-3*(w - 1)*(8*w + 1)
Factor -1/2*c**5 + 0 - 2*c**2 + 0*c + 0*c**3 + 3/2*c**4.
-c**2*(c - 2)**2*(c + 1)/2
Let j(a) = -7*a**4 - 31*a**3 - 32*a**2 + 20*a + 40. Let f(x) = -29*x**4 - 127*x**3 - 129*x**2 + 80*x + 160. Let g(y) = 2*f(y) - 9*j(y). What is t in g(t) = 0?
-2, 1
Let r(b) = -15*b**2 + 455*b - 10. Let h(y) = -y**2 + y - 1. Let j(d) = 10*h(d) - r(d). Factor j(v).
5*v*(v - 89)
Suppose 5*i**4 - 2*i**4 - 200*i**3 + 209*i**3 - 12*i**2 = 0. What is i?
-4, 0, 1
Let f(w) be the third derivative of -w**8/2352 + 19*w**7/735 - 53*w**6/105 + 4*w**5/3 + 154*w**4/3 + 784*w**3/3 - w**2 - 17*w. Suppose f(x) = 0. What is x?
-2, 14
Solve -33*n**4 - 7*n**4 - 80*n**2 - 69*n**3 + 15*n**3 - 46*n**3 - 5*n**5 = 0.
-4, -2, 0
Let d(c) be the third d