*-2)/(z/3). Find b such that 2*b**4 + 4*b - u*b**3 - 3*b + 4*b**2 - 1 + b**5 - 8*b**2 + 3 = 0.
-2, -1, 1
Let h(o) = -9*o**3 + 54*o**2 - 52*o - 94. Let p(b) = -3*b**3 + 18*b**2 - 17*b - 32. Let t(l) = 2*h(l) - 7*p(l). Factor t(a).
3*(a - 4)*(a - 3)*(a + 1)
Let h(a) be the first derivative of -a**6/90 - a**5/6 - 2*a**4/3 - 16*a**3/3 + 11. Let l(s) be the third derivative of h(s). Let l(o) = 0. What is o?
-4, -1
Let j(v) = 2*v - 3 + 7*v**2 - 2*v**3 + 5*v**3 - 4*v**3. Let n(k) = 6*k**2 + 2*k - 2. Let s(z) = -2*j(z) + 3*n(z). Factor s(h).
2*h*(h + 1)**2
Let z(s) be the second derivative of s**6/75 - 2*s**5/25 + s**4/10 + 4*s**3/15 - 4*s**2/5 + 21*s - 1. Factor z(f).
2*(f - 2)**2*(f - 1)*(f + 1)/5
Let j(r) = 17*r**3 - 908*r**2 - 2779*r - 1854. Let i(w) = 11*w**3 - 605*w**2 - 1852*w - 1236. Let t(y) = 8*i(y) - 5*j(y). Factor t(o).
3*(o - 103)*(o + 1)*(o + 2)
Suppose 5*a - 53 = 37. Solve -3*b**5 - a + 13*b**3 - 4*b - 8*b**2 + 18 + 2*b**4 = 0.
-2, -1/3, 0, 1, 2
Let u(f) = -7*f**2 - f + 2. Let r be u(1). Let m(b) = -10*b**2 - 6*b + 6. Let y(p) = -9*p**2 - 5*p + 5. Let j(k) = r*y(k) + 5*m(k). Factor j(z).
4*z**2
Let v(g) be the third derivative of g**5/80 - 5*g**4/16 + 9*g**3/8 - 161*g**2. Let v(f) = 0. What is f?
1, 9
Solve -19*v**2 + 2 - v**3 + 12*v**2 + 11*v**2 - 5*v = 0.
1, 2
Let y(m) be the second derivative of -81*m**5/160 + 141*m**4/16 - 91*m**3/12 + 5*m**2/2 + 113*m. Factor y(s).
-(s - 10)*(9*s - 2)**2/8
Suppose -30 = -2*r - 3*r. Let o = -4 + r. Factor -2*b**o + 3*b**2 + 4*b - 5*b**2 - 4*b**3 + 4*b**4.
4*b*(b - 1)**2*(b + 1)
Let y be 10*3/(-6) - -29. What is h in 0*h + 4 - 17*h + h**4 - 13*h**3 + y*h**2 + h**4 = 0?
1/2, 1, 4
Let r(a) be the first derivative of 21*a**5 - 95*a**4/4 - 10*a**3/3 + 438. Factor r(j).
5*j**2*(j - 1)*(21*j + 2)
Let m(f) = f + 2. Let y be m(0). Factor -7*h**y - 40*h - 12 - 3*h**2 - 8*h - 11*h**2.
-3*(h + 2)*(7*h + 2)
Let l(k) = -5*k**2 + 161*k - 653. Let u(a) = 60*a**2 - 1930*a + 7835. Let s(x) = -35*l(x) - 3*u(x). Let s(j) = 0. What is j?
5, 26
Let b(m) be the first derivative of m**7/21 - m**5/5 + m**3/3 + 4*m + 30. Let y(k) be the first derivative of b(k). Factor y(i).
2*i*(i - 1)**2*(i + 1)**2
Find a such that 3*a - 336520*a**3 + 336517*a**3 + 273*a**2 - 3*a = 0.
0, 91
Let w(y) be the third derivative of 0*y + 1/60*y**5 + 1/2*y**3 + 0 - 1/120*y**6 + 5/24*y**4 + 3*y**2. What is n in w(n) = 0?
-1, 3
Let v(o) = 6*o**2 - 407*o - 42926. Let u(k) = -k**2 - k + 11. Let j(f) = -28*u(f) - 4*v(f). Factor j(t).
4*(t + 207)**2
Let l(r) be the second derivative of -r**8/336 + r**6/120 + 8*r**2 - 5*r. Let u(m) be the first derivative of l(m). Factor u(c).
-c**3*(c - 1)*(c + 1)
Factor 3*w**3 + 3973*w - 7*w**3 - 3985*w - 6*w**4 + 38*w**2.
-2*w*(w - 2)*(w + 3)*(3*w - 1)
Let d(x) be the third derivative of 0*x + 0 - 1/15*x**4 - 4*x**2 - 4/15*x**3 - 1/150*x**5. Factor d(m).
-2*(m + 2)**2/5
Let t be (1 - 6)/(2/4). Let x be 80/(-48)*12/t. Factor 10/11*p**x - 2/11 - 2/11*p - 6/11*p**3.
-2*(p - 1)**2*(3*p + 1)/11
Let c(s) be the third derivative of 0*s**3 - 7*s**2 + 1/168*s**7 + 0*s**4 + 0*s + 5/1344*s**8 + 0 - 1/48*s**5 - 1/96*s**6. Determine h so that c(h) = 0.
-1, 0, 1
Factor 248*n**2 + 1624*n**2 + 12*n**4 - 8788 - 8*n**4 + 152*n**3 + 6760*n.
4*(n - 1)*(n + 13)**3
Let l(z) = 2*z**2 + 37*z - 16. Let k be l(-19). Factor -44*c**k + 20*c**3 + 25*c**3.
c**3
Let u(a) be the second derivative of -3/8*a**3 - 3*a + 9/80*a**5 - 1/16*a**4 + 0 + 0*a**2 + 1/40*a**6. Factor u(z).
3*z*(z - 1)*(z + 1)*(z + 3)/4
Let q(a) = -23*a - 205. Let h be q(-9). Factor 0 + 3*c - 9/2*c**h + 3/2*c**3.
3*c*(c - 2)*(c - 1)/2
Let v(y) be the first derivative of -3*y**4/8 - 4*y**3 - 12*y**2 - 323. Suppose v(i) = 0. What is i?
-4, 0
Let w(d) = -5*d**3 + 39*d**2 + 120*d + 104. Let f(c) = 48*c**3 - 390*c**2 - 1200*c - 1041. Let n(l) = -4*f(l) - 39*w(l). Factor n(m).
3*(m + 2)**2*(m + 9)
Let m(s) be the third derivative of 11*s**7/70 - 31*s**6/40 + 4*s**5/5 + s**4/2 - 2*s**2 - 3*s. What is w in m(w) = 0?
-2/11, 0, 1, 2
Let g be 0/((-10)/(-34 - -24)). Factor -2/3*z**3 + 8*z + 32/3 + g*z**2.
-2*(z - 4)*(z + 2)**2/3
Let g(z) = -40*z**2 - 216*z. Let j(d) = -d**3 + 39*d**2 + 214*d. Let f(a) = 3*g(a) + 4*j(a). Factor f(c).
-4*c*(c - 13)*(c + 4)
Let a(x) = -7*x**5 - 32*x**4 - 14*x**3 + 8*x**2 - 9. Let q(b) = b**5 + 8*b**4 + 3*b**3 - 2*b**2 + 2. Let u(s) = -2*a(s) - 9*q(s). Factor u(p).
p**2*(p - 1)**2*(5*p + 2)
Let u be 1 + 12 + (1 - 5). Suppose -j = -4*j + 12. Let c**4 - 9*c**2 + u*c**2 + 0*c**j = 0. Calculate c.
0
Let x(n) = -3*n + 20. Let s be x(14). Let i = s + 23. Factor -2*j + 3*j - j + j**2 + i + 2*j.
(j + 1)**2
Let g be (-7 - (-135)/((-15)/(-1)))*2. Factor 0*i + 5/2*i**3 + 0 + 0*i**2 + 5/2*i**g.
5*i**3*(i + 1)/2
Factor 112*f**2 + 6*f**3 - 472/3*f + 160/3.
2*(f + 20)*(3*f - 2)**2/3
Let s(x) be the first derivative of 20*x**3/3 + 76*x**2 - 64*x - 407. Factor s(h).
4*(h + 8)*(5*h - 2)
Let y(b) = -b**3 + 4*b**2 + 19*b - 67. Let q be y(5). Let p(r) be the first derivative of 169/12*r**4 + 0*r + 2/3*r**2 + 7 - 52/9*r**q. Factor p(k).
k*(13*k - 2)**2/3
Suppose 9*c**3 - 6 + 138*c**2 - 147*c**2 + 18 - 12*c + 3*c**3 - 2*c**4 - c**4 = 0. What is c?
-1, 1, 2
Let p be 408/(-4032) + (-1)/(-7). Let o(y) be the third derivative of 0*y**3 + 0 - y**2 - p*y**4 - 1/60*y**5 + 0*y. Solve o(g) = 0.
-1, 0
Let y(w) be the second derivative of w**7/21 - 5*w**6/3 + 231*w**5/10 - 931*w**4/6 + 1372*w**3/3 - 2*w - 21. Factor y(u).
2*u*(u - 7)**3*(u - 4)
Let 9/2*z + 1/2*z**3 + 5*z**2 + 0 = 0. Calculate z.
-9, -1, 0
Let p(m) = -2*m - 2. Let z(g) = -10*g + 28. Let s be z(3). Let o be p(s). Factor -4/5*b**4 + 0 - 2/5*b**3 + 0*b - 2/5*b**5 + 0*b**o.
-2*b**3*(b + 1)**2/5
Let q(x) be the third derivative of -x**5/12 - 85*x**4/24 + 50*x**3 - 4*x**2 - 82*x. Find m such that q(m) = 0.
-20, 3
Let l = 650409878/2308544665 - -58/640373. Let s = 2/515 + l. Factor 0 + s*j**3 + 4/7*j + 6/7*j**2.
2*j*(j + 1)*(j + 2)/7
Let v = 37 + -31. Let p(b) be the second derivative of 0*b**2 - 2/9*b**3 - 1/18*b**4 + 0 - v*b. Factor p(t).
-2*t*(t + 2)/3
Let c be 17/5 - (235 - 232). Solve -18/5*m**2 - c - 8/5*m**3 - 12/5*m = 0.
-1, -1/4
Let d be -4*((-3934)/196 - -20). Let w be (4/7)/(1/2). Let -w*u + d + 10/7*u**2 - 4/7*u**3 = 0. What is u?
1/2, 1
Let z(o) = o**3 + 3*o**2 + 3*o + 2. Let h be z(-2). Let m be (3 - h)*(-3 - -4). Let 4*a - a**4 - 12*a**2 + 4*a**4 - 4*a**m + 9*a**4 + 0*a = 0. Calculate a.
-1, 0, 1/3, 1
Suppose -s = -3*s + 184. Suppose -17 = 5*r - s. Find n, given that -8*n - 10*n**2 + 3 + r*n**2 + 5 - n**3 - 4 = 0.
1, 2
Determine f, given that 12*f**3 + 30*f**3 - 40*f**2 - 9*f**3 + 20*f - 8*f**3 - 5*f**4 = 0.
0, 1, 2
Let i(u) be the first derivative of -2*u**3/39 - 4*u**2 - 102*u/13 + 16. Factor i(z).
-2*(z + 1)*(z + 51)/13
Let f(s) be the second derivative of s**5/10 + 2*s**4/3 - s**3 + 3*s**2/2 - 7*s. Let p(r) be the first derivative of f(r). Factor p(u).
2*(u + 3)*(3*u - 1)
Let t(m) be the second derivative of 1/48*m**4 - 22*m - 1/80*m**5 + 0*m**2 - 1/120*m**6 + 0 + 1/24*m**3. Factor t(u).
-u*(u - 1)*(u + 1)**2/4
Suppose 0 = -x + 15 - 11. Find k, given that -16*k - 43*k**3 + 78*k**2 + 49*k**x + 1 - 69*k**3 + 0*k = 0.
1/7, 1
Let y(k) be the second derivative of k**7/126 + 4*k**6/45 + 13*k**5/60 - 11*k**4/18 - 16*k**3/9 + 16*k**2/3 + 81*k - 2. Find b such that y(b) = 0.
-4, -2, 1
Let a(o) be the second derivative of o**7/70 + o**6/40 - 3*o**5/20 - o**4/8 + o**3 - 7*o**2/2 - 8*o. Let g(k) be the first derivative of a(k). Factor g(b).
3*(b - 1)**2*(b + 1)*(b + 2)
Let 272/7*v**3 + 72/7 + 104/7*v**2 + 4*v**5 - 300/7*v - 176/7*v**4 = 0. Calculate v.
-1, 2/7, 1, 3
Determine t, given that 17*t**2 - 2*t + 2*t**3 - 4 + 26*t**2 - 39*t**2 = 0.
-2, -1, 1
Let z(s) be the third derivative of -s**7/3360 + s**6/288 - s**5/60 + s**4/24 + 10*s**3/3 + 19*s**2. Let k(h) be the first derivative of z(h). Factor k(l).
-(l - 2)**2*(l - 1)/4
Let d(g) be the second derivative of -5/4*g**4 - 25/2*g**2 + 23*g - 15/2*g**3 + 0 + 1/4*g**5. Suppose d(l) = 0. What is l?
-1, 5
Let q be (10/(-6))/((-10)/36). Let a be (-171)/(-39) - 18/q. Solve a*s**2 + 0 - 14/13*s**3 - 4/13*s = 0.
0, 2/7, 1
Let o(f) be the first derivative of -f**6/51 - 4*f**5/85 + 8*f**4/17 + 76*f**3/51 - 15*f**2/17 - 72*f/17 - 72. Determine u so that o(u) = 0.
-3, -1, 1, 4
Let p(k)