/9*k**2 + 0*k**3 + 0 - 2/9*k.
2*k*(k - 1)*(k + 1)**3/9
Let p(a) be the second derivative of -a**6/75 + 3*a**5/50 + 3*a**4/10 + a**3/3 + 144*a. Solve p(q) = 0.
-1, 0, 5
Factor -20/7*t**4 + 16/7*t**3 + 4/7*t**5 + 0 + 0*t**2 + 0*t.
4*t**3*(t - 4)*(t - 1)/7
Let r(p) = -22*p**4 - 2*p**3 + 90*p**2 + 200*p + 94. Let v(h) = -47*h**4 - 3*h**3 + 179*h**2 + 400*h + 187. Let x(q) = 13*r(q) - 6*v(q). Factor x(w).
-4*(w - 5)*(w + 1)**2*(w + 5)
Find u, given that 112*u**3 - 39*u**2 + 21*u**2 - 39*u - 38*u**2 - 108*u**3 - 21*u = 0.
-1, 0, 15
Let q(y) = y**2 + y + 1. Let g(z) = 4*z**5 - 4*z**3 + 10*z**2 + 10*z + 10. Let f = -6 - -5. Let b(l) = f*g(l) + 10*q(l). Solve b(o) = 0 for o.
-1, 0, 1
Let q(w) = 4*w**3 + 40*w**2 + 4*w - 72. Let j(b) = -3*b**3 - 27*b**2 - 3*b + 48. Let m(z) = -8*j(z) - 5*q(z). Solve m(a) = 0 for a.
-3, -2, 1
Let l(h) be the first derivative of h**5 - 145*h**4/4 + 250*h**3/3 + 290*h**2 - 1080*h + 272. Factor l(n).
5*(n - 27)*(n - 2)**2*(n + 2)
Let r(t) = 13*t**2 + 76*t - 12*t**3 + 14 + 11*t**3 - 26*t**3 + 69*t**2. Let v(c) = 136*c**3 - 411*c**2 - 380*c - 69. Let f(g) = 11*r(g) + 2*v(g). Factor f(q).
-(q - 4)*(5*q + 2)**2
Let d be 32/54*(-36 - -32 - (-19)/4). What is i in -d*i - 4/9*i**2 + 0 = 0?
-1, 0
Suppose -5*t + 17 = 2*a, 4*a - 7 = -2*t + 3*a. Let h be t - (-2 - (-1 - 1)). Factor g**2 - 3*g**3 + 2*g**3 + 2*g**h - 1 - g.
(g - 1)*(g + 1)**2
Let d(i) = 32*i + 66. Let u be d(-2). Let a(b) be the first derivative of 1 + b - 3*b**3 + 9/4*b**4 - 1/2*b**u. Factor a(h).
(h - 1)*(3*h - 1)*(3*h + 1)
Suppose 0 = 4*a + 10*a + 462. Let c be -11 - -6 - 195/a. Factor -16/11*d + 8/11 + c*d**3 - 14/11*d**2.
2*(d - 2)*(d + 1)*(5*d - 2)/11
Let k(b) be the third derivative of -b**6/270 - b**3 - 4*b**2. Let i(l) be the first derivative of k(l). Factor i(x).
-4*x**2/3
Let q(t) = 10*t**3 + 260*t**2 + 2000*t + 5000. Let y(l) = -5*l**3 - 129*l**2 - 1000*l - 2500. Let i(g) = 2*q(g) + 5*y(g). Factor i(s).
-5*(s + 5)*(s + 10)**2
What is c in 2 - 2/3*c + 1/6*c**3 - 1/2*c**2 = 0?
-2, 2, 3
Let n = -571/2 - -286. Let z(x) be the first derivative of -n*x**6 + 0*x + 0*x**2 + 0*x**3 + 3/2*x**4 + 7 + 3/5*x**5. Let z(i) = 0. Calculate i.
-1, 0, 2
Let p(c) = c**4 - 2*c**3 - 2*c**2 - 2*c - 1. Let w(b) = -7*b**4 - 2*b**3 + 58*b**2 - 42*b + 23. Let a(v) = 5*p(v) + w(v). Factor a(t).
-2*(t - 1)**3*(t + 9)
Let n = -907/5 + 182. Let c(y) be the first derivative of -3/2*y**4 + y**6 + 0*y + 1 + 0*y**2 - y**3 + n*y**5. Suppose c(v) = 0. Calculate v.
-1, -1/2, 0, 1
Let b(w) = -5*w**4 + 8*w**3 + 39*w**2 + 28*w + 8. Let o(m) = -m**4 - m**3 + m**2 - m. Let l(v) = -b(v) + 3*o(v). Factor l(k).
(k - 8)*(k + 1)**2*(2*k + 1)
Let k(h) be the first derivative of -h**5/10 - 5*h**4/8 - 7*h**3/6 - 3*h**2/4 + 318. Factor k(i).
-i*(i + 1)**2*(i + 3)/2
Let w(r) be the third derivative of r**8/224 + r**7/140 - 3*r**6/40 + r**5/20 + 5*r**4/16 - 3*r**3/4 + r**2 + 12. Find h such that w(h) = 0.
-3, -1, 1
Factor 10*n**4 + 2*n - 23*n**4 + 27*n**3 - 2*n**5 + 9*n**4 - 27*n**3 + 4*n**2.
-2*n*(n - 1)*(n + 1)**3
Let s = 5783/3 + -1927. Let -4/3*j + s*j**2 - 2 = 0. What is j?
-1, 3
Suppose 2*h = 5*p - 448, 451 = 5*p + 16*h - 15*h. Suppose -p + 87 = -i. Factor -12/5*z + 3/5 - 6/5*z**3 + i*z**2.
-3*(z - 1)**2*(2*z - 1)/5
Let i(r) = 392*r + 1570. Let z be i(-4). Let j = -3 - -3. What is o in -2/5*o**z - 1/5*o + j - 1/5*o**3 = 0?
-1, 0
Factor 10*u + 32*u**3 - 40*u**3 + 7*u**3 - 25*u**2 + 6*u**3 + 10*u**4.
5*u*(u - 1)*(u + 2)*(2*u - 1)
Let a(y) be the second derivative of -y**7/189 - 4*y**6/45 - 23*y**5/45 - 10*y**4/9 - 25*y**3/27 + 212*y. Factor a(p).
-2*p*(p + 1)**2*(p + 5)**2/9
Let k(x) = -6 + x - 3*x - 5. Let d(q) = -q - 5. Let t(p) = 9*d(p) - 4*k(p). Let w(s) = 3*s**2 + 18*s + 18. Let f(h) = 18*t(h) + w(h). Factor f(z).
3*z**2
Factor 18*s**5 + 21*s - 138*s**2 - 15*s**5 + 144*s**3 + 24*s - 54*s**4.
3*s*(s - 15)*(s - 1)**3
Let k(t) be the second derivative of -t**4/12 - t**3/6 + 10*t**2 - 19*t - 4. Suppose k(v) = 0. What is v?
-5, 4
Let f(l) be the third derivative of 5*l**8/336 - l**7/7 + l**6/3 + 65*l**2 - 2. Solve f(u) = 0 for u.
0, 2, 4
Let y(m) = m**2 + 9*m + 15. Let x be y(-8). Determine r so that -4*r + 10*r - x*r + 19*r - 2*r**2 - 16 = 0.
1, 8
Suppose 4*f + 2 = -2, -5 = -i + f. Factor -y**4 - 11*y**i - 16*y**2 + 0*y**2 - 40*y**3 + 32*y.
-4*y*(y + 2)**2*(3*y - 2)
Suppose 0*m + 5*m = 5*c - 50, 3*m = 0. Suppose 5*k = c*k. Let 0 + 0*p**2 - 2/5*p**5 + 2/5*p**3 + 0*p**4 + k*p = 0. What is p?
-1, 0, 1
Let g(z) be the second derivative of 5/8*z**3 + 27*z - 5/24*z**4 - 1/16*z**5 + 0*z**2 + 0. Let g(j) = 0. What is j?
-3, 0, 1
Let n = -20071 - -260927/13. Let 10/13*a**2 - n*a**3 - 2/13*a - 4/13 = 0. Calculate a.
-1/2, 1, 2
Let m(c) be the second derivative of c**5/80 - 13*c**4/48 + 7*c**3/4 + 523*c. Factor m(b).
b*(b - 7)*(b - 6)/4
Let x be (30/25 + (-3)/15)*1. Factor -5*y**2 - x + 2*y**2 + 9*y - 5.
-3*(y - 2)*(y - 1)
Solve 4*k + 11*k**2 + 0*k**2 + 4*k**4 - 8*k - 12*k**3 + k**2 = 0.
0, 1
Factor 195*j**3 - 11421*j**2 - 50*j**4 + 5*j**5 + 75*j + 11051*j**2 - 59 + 265*j - 61.
5*(j - 3)*(j - 2)**3*(j - 1)
Let x = 261 - 258. Let i(f) be the first derivative of -1/20*f**4 + 5 + 0*f + 0*f**2 + 1/25*f**5 + 0*f**x. Factor i(d).
d**3*(d - 1)/5
Let u = 54 + -50. Suppose 2*p = -u*p + 12. Solve -1/4*g**p + 0 - 1/2*g + 1/4*g**3 = 0 for g.
-1, 0, 2
Let r(x) be the third derivative of 1/1890*x**7 + 0*x**3 + 0 + 0*x - 7/540*x**5 - 1/36*x**4 + 0*x**6 + 4*x**2. Solve r(l) = 0.
-2, -1, 0, 3
Let m(b) be the first derivative of -b**6/21 - 38*b**5/35 - 51*b**4/14 - 14*b**3/3 - 16*b**2/7 - 801. Factor m(x).
-2*x*(x + 1)**3*(x + 16)/7
Suppose 5*c + 3*p = 20, -3*c + c - 5*p = 11. Let c*q**2 - 12*q**5 + 4*q**4 + 14*q**5 + q**2 + 4*q**4 + 2*q + 12*q**3 = 0. Calculate q.
-1, 0
Let p(x) be the first derivative of x**3/18 - 5*x**2/6 + 4*x - 434. Solve p(s) = 0 for s.
4, 6
Let g(v) be the third derivative of v**5/30 + v**4/20 - 14*v**3/15 + v**2 + 32*v. Let g(k) = 0. Calculate k.
-2, 7/5
Let r(t) be the second derivative of -5*t**4/12 - 5*t**3/2 + 10*t**2 - 41*t. Find x, given that r(x) = 0.
-4, 1
Let l(k) be the first derivative of 5*k**6/6 - 6*k**5 + 55*k**4/4 - 10*k**3/3 - 30*k**2 + 40*k + 95. Factor l(c).
5*(c - 2)**3*(c - 1)*(c + 1)
Let z(o) = -o**2 - 7*o - 7. Let f be z(-5). Suppose 0 = 2*q + 6 - 18. Find y, given that -3*y + 0*y - y**4 + y**f - q*y**3 - 7*y**2 = 0.
-3, -1, 0
Let o be 23/13 - (-19 + 19 - -1). Factor -4/13*s**2 + 6/13 - o*s.
-2*(s + 3)*(2*s - 1)/13
Factor -3*z**3 - 17*z**2 - 32*z**2 + 68*z - 200*z - 120 + 7*z**2.
-3*(z + 2)**2*(z + 10)
Let b(s) be the third derivative of -s**8/672 - s**7/420 + s**6/48 - s**5/40 - 124*s**2. Find c, given that b(c) = 0.
-3, 0, 1
Let w be (-20)/(-6) + 64/(-12) + (-102)/(-17). Factor -6/11*z**2 - 10/11*z - 4/11 + 2/11*z**3 + 2/11*z**w.
2*(z - 2)*(z + 1)**3/11
Suppose -2*p - 4*g = -9*g - 205, 2*g = 2*p - 190. Let h be 10*(-4)/p*-6. Find i such that 14/3*i + 4/3 - h*i**2 = 0.
-1/4, 2
Let h(x) = -13*x**3 + 104*x**2 - 189*x + 90. Let z(a) = -11*a**3 + 103*a**2 - 188*a + 90. Let f(c) = 3*h(c) - 4*z(c). Let f(r) = 0. What is r?
1, 18
Let k(z) = -46*z**2 - 48*z - 65. Let t(f) = 16*f**2 + 16*f + 22. Let i(a) = -6*k(a) - 17*t(a). Factor i(g).
4*(g + 2)**2
Let m(z) = 2*z**2 + 18*z - 17. Suppose -4*g + 26 - 14 = 0. Let n(x) = 25*x**2 + 235*x - 220. Let t(u) = g*n(u) - 40*m(u). Solve t(l) = 0.
-4, 1
Factor 2*a - 10 + 2*a**2 + 12 - 4 - 2.
2*(a - 1)*(a + 2)
Let c(d) = d - 1. Suppose 2*v = -3*j + 3, -3*v = -3*j - j + 4. Let k be c(j). Solve -7/4*h**3 + 3/2*h**4 + 1/2*h**2 + k + 0*h = 0.
0, 1/2, 2/3
Let b(m) be the second derivative of -3*m + 0*m**2 - 1/10*m**6 + 0 + 0*m**3 - 1/2*m**4 + 9/20*m**5. Factor b(z).
-3*z**2*(z - 2)*(z - 1)
Factor -76*j - 146*j - 34622 - 34547 + 3*j**2 - 4*j**2 - 304*j.
-(j + 263)**2
Let y(s) be the second derivative of -s**8/57120 - s**7/21420 - 11*s**4/6 + 10*s. Let c(l) be the third derivative of y(l). Determine a, given that c(a) = 0.
-1, 0
Let b be -2*4/12*-3. Find i, given that -2/5 - 1/5*i**b + 3/5*i = 0.
1, 2
Let h(v) = -15*v**3 + 80*v**2 - 185*v - 235. Let s(p) = 4*p**3 - 2*p**2 + 2*p - 1. Let t(r) = -h(r) - 5*s(r). Factor t(i).
-5*(i - 3)*(i + 1)*(i + 16)
Let f(a) be the first derivative of a**4 - 128*a**3/3 + 442*a**2 + 2312*a + 185. What is u in f(u) = 0?
-2, 17
Let 