+ 45/2*z**2 - 22 + 5*z**3 - 5/4*z**4. Factor v(y).
-5*(y - 5)*(y + 1)**2
Let n(h) be the second derivative of h**6/540 + 4*h**5/135 + 4*h**4/27 + 9*h**2 - 5*h. Let k(w) be the first derivative of n(w). Factor k(u).
2*u*(u + 4)**2/9
Find k such that -4/3*k + 0 - 2/3*k**2 + 2/3*k**3 = 0.
-1, 0, 2
Let l(n) = -n + 16. Let u be l(14). Solve -5*t**3 - 2*t**2 - 3*t - 6*t**3 + u*t + 10*t**3 = 0 for t.
-1, 0
Solve -1/3*s - 7/3*s**2 + 2 + 1/3*s**4 + 1/3*s**3 = 0 for s.
-3, -1, 1, 2
Let w(g) be the third derivative of -g**8/3360 + g**7/630 + g**6/360 - g**5/30 + 11*g**4/24 + 3*g**2. Let p(a) be the second derivative of w(a). Factor p(d).
-2*(d - 2)*(d - 1)*(d + 1)
Let o be (-14 + (-605)/(-44))/(-2). Determine m, given that -1/4 + 1/8*m**3 - o*m + 1/4*m**2 = 0.
-2, -1, 1
Let l be (-144)/1656 - 215/(-92). Factor -3/2*u - 3/4*u**2 + l.
-3*(u - 1)*(u + 3)/4
Let s(j) = -4*j**5 - 4*j + 2 + 6*j**4 - 3*j**4 - 2 + 5*j**3. Let f(a) = a**4 - a**3. Let h(m) = 3*f(m) - s(m). Let h(t) = 0. What is t?
-1, 0, 1
Factor -1/7*o**4 + 0 - 4/7*o**3 + 0*o + 5/7*o**2.
-o**2*(o - 1)*(o + 5)/7
Let m(g) = 5*g**2 - 150*g + 25. Let j(o) = 4*o + 1. Let k(u) = -25*j(u) + m(u). Factor k(t).
5*t*(t - 50)
Let n = -51 - -72. Find v such that 4*v**3 + 32*v + 3 - 81*v + n*v + 21 = 0.
-3, 1, 2
Let v = -2505785/16874 + -2/8437. Let m = 149 + v. Factor 0 - p - m*p**2.
-p*(p + 2)/2
Let s(q) be the first derivative of q**6/1980 + q**5/55 + 3*q**4/11 - 3*q**3 + 9. Let z(l) be the third derivative of s(l). What is g in z(g) = 0?
-6
Let r(c) be the first derivative of 1 + 0*c - 3/2*c**4 - 2/5*c**5 - 2*c**3 - c**2. Suppose r(u) = 0. What is u?
-1, 0
Let z(d) be the second derivative of -d**4/6 - 146*d**3/3 - 5329*d**2 - 85*d. Let z(g) = 0. What is g?
-73
Let o(k) = k**2 + k - 3. Let d be o(-3). Let -4*h - 8 - d*h**2 + 3*h - 9*h + h**2 = 0. What is h?
-4, -1
Find y such that 5/6*y**4 + 35/6*y**3 + 0*y - 20/3*y**2 + 0 = 0.
-8, 0, 1
Let h(k) = 3*k**3 + 48*k**2 + 92*k + 57. Let w(c) = -c - 3. Let b(q) = -h(q) - 5*w(q). Factor b(z).
-3*(z + 1)**2*(z + 14)
Let r(b) = -6*b**2 + 14*b + 2. Let i(f) = -19*f**2 + 41*f + 7. Let m(x) = -2*i(x) + 7*r(x). Factor m(j).
-4*j*(j - 4)
Suppose -2*z + 1 = -z. Suppose 159 = 7*x + 145. Let -z - 1/4*m**x + m = 0. Calculate m.
2
Suppose 40*c + 15*c = 0. Let q(v) be the third derivative of 0*v + 1/75*v**5 + 1/24*v**4 + c + 10*v**2 + 1/600*v**6 + 1/15*v**3. Factor q(o).
(o + 1)**2*(o + 2)/5
Let i be (2 + -1)*(-7 + 27). Suppose -5*s + i = -0*s. Solve 0 - q**s + 3/2*q**3 + 1/4*q**5 + 1/4*q - q**2 = 0.
0, 1
Let h(q) be the third derivative of q**6/1140 + q**5/38 + q**4/6 + 8*q**3/19 + 41*q**2 - 2. Factor h(w).
2*(w + 1)*(w + 2)*(w + 12)/19
Suppose -4*r = 4*r - 80. Let f = r - 7. Factor 1/5*u**2 - 1/5*u**4 + 0 + 1/5*u**f - 1/5*u.
-u*(u - 1)**2*(u + 1)/5
Let j(t) be the third derivative of -t**6/180 + 16*t**5/45 - 89*t**4/36 + 58*t**3/9 + 52*t**2. Factor j(w).
-2*(w - 29)*(w - 2)*(w - 1)/3
Let x = 2179/1632 - 1/544. Suppose -4*f = -a + 12, f + 2 = -1. Solve 2/3*g**3 + 0*g**2 + a - x*g**4 + 0*g = 0.
0, 1/2
Let w = 37976725307/1128 + -33667307. Let l = w - 1/376. Factor 0 - 4/3*d - 5/3*d**3 - l*d**2 - 1/3*d**4.
-d*(d + 1)*(d + 2)**2/3
Let r = 679 + -675. Factor -8/3*b**3 - 5*b**2 + 0 + 16/3*b**r + 3*b.
b*(b + 1)*(4*b - 3)**2/3
Let y(o) be the second derivative of -o**7/168 + 7*o**6/120 - 19*o**5/80 + 25*o**4/48 - 2*o**3/3 + o**2/2 - 44*o + 1. Determine x so that y(x) = 0.
1, 2
Let i(r) = -14*r - 46. Let f(w) = -5*w - 15. Let g(z) = 11*f(z) - 4*i(z). Let p be g(-17). Find k, given that 3/2*k + 3/2*k**p + 0 = 0.
-1, 0
Let p(j) be the second derivative of -1/210*j**6 + 1/140*j**5 + 1/84*j**4 - 1/42*j**3 + 0 + 0*j**2 + 7*j. Factor p(c).
-c*(c - 1)**2*(c + 1)/7
Let -15/2*z + 3/8*z**4 + 0 - 3/2*z**2 + 15/8*z**3 = 0. Calculate z.
-5, -2, 0, 2
Suppose 5*t + 406*q = 407*q, t - q = 2*t. Suppose 3/5*r**4 - 33/5*r**2 + 54/5*r + t*r**3 - 24/5 = 0. What is r?
-4, 1, 2
Let z(j) = -2*j**2 - 11*j + 23. Let w be z(-7). Suppose -6*u**3 + 6*u - u**4 - 3 - u**2 + 4*u**4 + u**w = 0. Calculate u.
-1, 1
Let x = 15 - 12. Let d(c) = -x + 0 - 20*c - 3*c**2 - 24*c**2. Let u(p) = 108*p**2 + 81*p + 12. Let i(k) = 9*d(k) + 2*u(k). Factor i(h).
-3*(3*h + 1)**2
Find f, given that 16/3*f - 45*f**3 + 0 - 46*f**2 + 19/3*f**4 = 0.
-1, 0, 2/19, 8
Let b = -8 - -10. Factor -6*q**b + 228 + 3*q**2 - 18*q - 228.
-3*q*(q + 6)
Let g(f) = -f**4 + 1 + f**5 - f**4 - f + 2*f + 3*f**4. Let r(j) = 2*j**5 + 2*j**3 + 4*j**2 + 4*j + 4. Let a(b) = 4*g(b) - r(b). Factor a(c).
2*c**2*(c - 1)*(c + 1)*(c + 2)
Let l(d) be the first derivative of 5*d**4/4 - 30*d**2 - 80*d - 71. Solve l(c) = 0.
-2, 4
Let w(z) be the second derivative of z**9/15120 - z**8/4200 + z**6/900 - z**5/600 + 5*z**3/2 - 9*z. Let u(b) be the second derivative of w(b). Factor u(p).
p*(p - 1)**3*(p + 1)/5
Let b(u) be the second derivative of u**3 + 2*u**2 - 6*u - 1/10*u**5 + 0 + 0*u**4. Determine n so that b(n) = 0.
-1, 2
Let f(o) be the third derivative of o**8/224 + o**7/7 + 6*o**6/5 + 22*o**5/5 + 7*o**4 + 174*o**2. Determine i, given that f(i) = 0.
-14, -2, 0
Suppose 4*i = -5*t + 5*i + 54, 4*i + 40 = 4*t. Let d = -5 + t. Solve 5*q - d*q + 2*q**2 + 2 - 3*q**2 + 2*q = 0 for q.
-1, 2
Suppose -14*o + 13*o = 3. Let z be 2/6*(15 - 0) + o. Solve -2/9*k**5 + 0*k + 0*k**3 + 0*k**4 + 0*k**z + 0 = 0 for k.
0
Let h(d) be the third derivative of d**7/210 + d**6/30 - d**5/20 - 5*d**4/12 + 4*d**3/3 - 2*d**2 - 12*d. Factor h(r).
(r - 1)**2*(r + 2)*(r + 4)
Let d(a) be the first derivative of -2*a**3/3 - 8*a**2 - 14*a + 50. Factor d(w).
-2*(w + 1)*(w + 7)
Let c be (-546)/(-1183) - (-8)/39. Find y, given that 0 + c*y**2 + 2*y = 0.
-3, 0
Let c(p) be the second derivative of 21/2*p**2 + 0 - 3*p**3 - 1/4*p**4 + 22*p. Let c(b) = 0. What is b?
-7, 1
Let q(h) be the first derivative of -32*h**5/5 - 14*h**4 - 28*h**3/3 - 2*h**2 + 92. Let q(p) = 0. Calculate p.
-1, -1/2, -1/4, 0
Let d(q) be the third derivative of 0 + 1/945*q**7 + 0*q**4 + 1/270*q**5 - 1/270*q**6 - 3*q**2 + 0*q**3 + 0*q. Factor d(a).
2*a**2*(a - 1)**2/9
Let d(h) be the second derivative of -39*h - 1/20*h**5 + 1/150*h**6 + 7/60*h**4 - 1/10*h**3 + 0*h**2 + 0. Factor d(v).
v*(v - 3)*(v - 1)**2/5
Let u(v) be the second derivative of v**5/20 - 2*v**4/3 + 10*v**3/3 - 8*v**2 - v + 73. Determine j, given that u(j) = 0.
2, 4
Determine u so that -1938 + 2474 - 483*u + 4051 + 5*u**2 + 73*u + 3818 = 0.
41
Solve g**3 + 3*g**3 + 0*g**3 - 16*g**2 + 0*g**2 = 0 for g.
0, 4
Let j(m) be the second derivative of m**8/2016 - m**7/252 + m**6/240 + m**5/40 - 9*m**2 + 10*m. Let t(a) be the first derivative of j(a). Factor t(c).
c**2*(c - 3)**2*(c + 1)/6
Suppose -14*n + 77 - 7 = 0. Let p(b) be the third derivative of 11/600*b**6 - 5*b**2 + 0*b**3 - 1/175*b**7 - 1/75*b**n + 0*b - 1/120*b**4 + 0. Factor p(h).
-h*(h - 1)**2*(6*h + 1)/5
Suppose 5*g + 3 = -4*v, g + 3 = -2*v + 6. Suppose 49 - 7*z**2 - 14*z + 4*z**2 + 7*z**2 - v*z**2 = 0. Calculate z.
7
Let i be -11 - (920/(-48) + 8). Solve -3/2 + 5/6*c**2 + 1/2*c + i*c**3 = 0.
-3, 1
Let x(h) be the second derivative of h**6/15 - 19*h**5/10 + 35*h**4/2 - 49*h**3/3 - 686*h**2 + 2*h + 16. Find r, given that x(r) = 0.
-2, 7
Let s(t) = -3*t**4 + 13*t**3 + 5*t. Let p(w) = -w**4 + 6*w**3 + 2*w. Suppose n + 4*n = z + 7, n = 2*z + 5. Let o(d) = z*s(d) + 5*p(d). Factor o(f).
f**3*(f + 4)
Factor -w + 0*w - 3*w**2 - 5 - 18*w - 55 - 8*w.
-3*(w + 4)*(w + 5)
Suppose 0 = 2*h + 21 - 101. Solve 42*o**3 + h*o**2 - 32*o**5 + 8*o - 40*o**4 - 30*o**5 + 12*o**5 = 0.
-1, -2/5, 0, 1
Let l(j) be the first derivative of j**6/60 - j**4/12 - 2*j**2 - 17. Let y(k) be the second derivative of l(k). Solve y(t) = 0 for t.
-1, 0, 1
Let s = 193 + -574/3. Suppose 0 = 12*f - 41*f + 87. Factor 1/3 + s*h - 8/3*h**f + 2/3*h**2.
-(h - 1)*(2*h + 1)*(4*h + 1)/3
Let u = -37 - -56. Factor 7*o + 2 + o**3 + o**4 - u*o + 0 - 3*o**2 + 11*o.
(o - 1)**2*(o + 1)*(o + 2)
Let h be 3/(20/(-32) + 1). Let t be 5 + (-7 - h/(-2)). Factor -3*m**4 + m**t + m + m**4 + m**2 - m**5.
-m*(m - 1)*(m + 1)**3
Let l(p) = 15*p**2 - 25*p + 62. Let m(n) = -7*n**2 + 13*n - 30. Let x(v) = -6*l(v) - 13*m(v). Solve x(b) = 0.
1, 18
Factor 81 + 53*n - 15*n**2 + 70 + 102*n - 56*n**3 + n**3 - 41 + 5*n**4.
5*(n - 11)*(n - 2)*(n + 1)**2
Let t(k) be the second derivative of -1/2*k**3 + 0