econd derivative of z**5/40 - 4*z**4/3 + 61*z**3/12 - 15*z**2/2 - 2*z + 472. Factor f(a).
(a - 30)*(a - 1)**2/2
Factor 88*x - 7*x**2 - 3*x**2 - 8*x**2 + 160 + 35*x**2 - 13*x**2.
4*(x + 2)*(x + 20)
Let s(y) = 8*y**4 + 20*y**3 + 26*y**2 + 14*y. Let d(l) = -9*l**4 - 21*l**3 - 27*l**2 - 15*l. Let c(u) = -5*d(u) - 6*s(u). What is n in c(n) = 0?
-3, -1, 0
Let x(y) be the first derivative of 3/25*y**5 - 33/10*y**2 - 12/5*y + 43 - 9/5*y**3 - 3/20*y**4. Determine a so that x(a) = 0.
-1, 4
Let s(u) = -23*u**2 + 1479*u + 138375. Let v(k) = -5*k**2 + 370*k + 34594. Let f(b) = -2*s(b) + 9*v(b). Solve f(r) = 0 for r.
-186
Suppose 5*t + 3*y = 137, -8*t - 2*y = -3*t - 138. Suppose -33*x + t*x + 15 = 0. Suppose -6/5 + 3/5*l - 9/5*l**4 - 3/5*l**3 + x*l**2 = 0. Calculate l.
-1, 2/3, 1
Find p, given that -288/7*p + 6/7*p**2 + 3456/7 = 0.
24
Let r(k) be the second derivative of -k**4/4 - 5*k**3/12 + k**2/4 - 2*k + 120. Factor r(b).
-(b + 1)*(6*b - 1)/2
Factor -1/7*x**4 + 21*x**2 - 450/7 + 9/7*x**3 + 295/7*x.
-(x - 18)*(x - 1)*(x + 5)**2/7
Let a(f) be the first derivative of 4*f**6/15 + 38*f**5/25 - f**4/2 + 397. Solve a(u) = 0.
-5, 0, 1/4
Let y = -11 + 18. Suppose -y*j - 20 = -12*j. Determine c, given that -j*c + c - c**2 + 3*c - c = 0.
-1, 0
Let x(b) be the first derivative of -b**6/5 + 76*b**5/25 - 66*b**4/5 + 48*b**3/5 - 71. Factor x(n).
-2*n**2*(n - 6)**2*(3*n - 2)/5
Let w be (8/18)/((-305)/45 + 7). Let s = -739/7 - -106. Factor -s*h**w + 3/7*h + 0.
-3*h*(h - 1)/7
Let a(n) = 6*n**2 + 99*n + 447. Let c(q) = -q**2 - 16*q - 75. Let o(h) = -6*a(h) - 34*c(h). Find t such that o(t) = 0.
-22, -3
Let h = -1382 - -5531/4. Find i, given that 0 - i - h*i**2 = 0.
-4/3, 0
Suppose 10*u + 4 = 114. Let n be u/(-55) - 1/(-5). Factor -d**2 + 0*d + 1/2*d**4 - 1/2*d**3 + n.
d**2*(d - 2)*(d + 1)/2
Let d(g) be the second derivative of 1/40*g**5 + 0 - 1/12*g**3 + 1/180*g**6 - 1/6*g**2 + 1/72*g**4 - 8*g. Factor d(z).
(z - 1)*(z + 1)**2*(z + 2)/6
Factor -54/7 - 57/7*t - 3/7*t**2.
-3*(t + 1)*(t + 18)/7
Let y(b) be the second derivative of -b**7/7560 + b**6/1620 - b**5/1080 - 7*b**3/6 - 8*b. Let l(t) be the second derivative of y(t). Factor l(z).
-z*(z - 1)**2/9
Suppose 3*f + q = 25, 2*f + 2*f - 4*q - 28 = 0. Let x(o) = 4*o - 12. Let w be x(8). Factor -4*m - f + w*m**2 - 3*m - 22*m**2 - m.
-2*(m + 2)**2
Let o(p) be the second derivative of -2*p**6/15 - 3*p**5 - 4*p**4 + 56*p**3/3 - 131*p. Factor o(y).
-4*y*(y - 1)*(y + 2)*(y + 14)
Let k = -337 - -651. Let y = k + -311. Find s such that 8/5*s**4 + 8/15 - 8/5*s - 14/5*s**2 + 34/15*s**y = 0.
-2, -2/3, 1/4, 1
Let w(g) = -g**4 + 25*g**3 - 145*g**2 + 117*g - 2. Let r(k) = 6*k**4 - 151*k**3 + 871*k**2 - 700*k + 13. Let m(n) = 6*r(n) + 39*w(n). Let m(q) = 0. Calculate q.
0, 1, 11
Let n(b) = -b - 7. Let i be (-1)/((-2)/((-36)/2)). Let w be n(i). Solve d**4 - 4 + 2 + d**3 - 2*d**3 + d**w - 3*d + 4*d**3 = 0 for d.
-2, -1, 1
Suppose 0 = -4*d - 0*d, 3*p - 30 = -5*d. Let t(v) = 5*v**2 - 12*v + 10. Let f(z) = 15*z**2 - 35*z + 30. Let n(o) = p*t(o) - 3*f(o). Factor n(w).
5*(w - 2)*(w - 1)
Find h, given that -2/5*h**4 + 3*h**3 - 4*h - 4/5*h**2 + 0 - 1/5*h**5 = 0.
-5, -1, 0, 2
Let d(u) be the first derivative of 3*u**3/2 + 33*u**2/4 + 15*u + 15. Determine y, given that d(y) = 0.
-2, -5/3
Let s(o) be the first derivative of 0*o + o**3 + 3/25*o**5 - 3/5*o**4 + 13 - 3/5*o**2. Suppose s(n) = 0. What is n?
0, 1, 2
Solve -65*r**2 + 58*r**2 + 2*r + 3 + 2*r = 0.
-3/7, 1
Let b(p) = p - 6*p**5 - p**2 + 2*p**5 + 3*p**5 + p**3. Let i(m) = -4*m**5 + m**4 + 6*m**3 - 2*m**2 - m. Let h = -3 + 2. Let y(z) = h*i(z) + b(z). Factor y(t).
t*(t - 1)**2*(t + 1)*(3*t + 2)
Factor j - 25*j**2 + 6*j + 15*j**2 + 9*j**2 - 8 - 2.
-(j - 5)*(j - 2)
Let k(y) be the first derivative of -7*y**5/15 + 4*y**4/3 - 11*y**3/9 + y**2/3 + 36. Factor k(r).
-r*(r - 1)**2*(7*r - 2)/3
Let d(p) = -p**3 + 8*p + 2. Let w be d(-3). Let f**3 + f**3 - 2*f**4 - 2*f**3 + 2*f**w = 0. Calculate f.
0, 1
Let u be 2 - (60/25 + 9/15). Let l be (-17 - -16)*(u - (-1 + 2)). Factor 0 - 4/9*d - 10/9*d**l - 2/9*d**4 - 8/9*d**3.
-2*d*(d + 1)**2*(d + 2)/9
Suppose 36 = -7*k + 16*k. Suppose k*u + 2*o - 9 + 1 = 0, 5*u = -4*o + 7. Factor 0*w**2 - 2/5*w**u + 2/5*w - 1/5 + 1/5*w**4.
(w - 1)**3*(w + 1)/5
Let q(v) be the third derivative of -4/105*v**5 + 1/49*v**7 + 0*v**3 + 0*v + 13*v**2 - 1/21*v**4 + 0 + 11/420*v**6. Solve q(i) = 0.
-1, -2/5, 0, 2/3
Let d(o) = o**4 + 2*o**3 + o**2 + o + 2. Let t(h) = 14*h**4 - 2*h**3 + 34*h**2 + 38*h. Let f(j) = 12*d(j) - t(j). Factor f(l).
-2*(l - 12)*(l - 1)**2*(l + 1)
Let l(m) be the first derivative of -3*m**5/10 + 9*m**4/4 - 9*m**3/2 - 158. Factor l(u).
-3*u**2*(u - 3)**2/2
Let h be (6 - 63/72) + (-5)/1. Let w(j) be the second derivative of 1/8*j**2 + 0 - 3*j + 1/168*j**7 + h*j**5 + 1/24*j**6 + 5/24*j**4 + 5/24*j**3. Factor w(d).
(d + 1)**5/4
Let q(p) be the second derivative of -13/2*p**4 - 17/15*p**6 + 20/3*p**3 + 1/7*p**7 + 0 - 4*p**2 + 10*p + 37/10*p**5. Factor q(g).
2*(g - 2)*(g - 1)**3*(3*g - 2)
Factor -3/2*w**5 + 0*w**2 + 3*w**3 + 0*w + 0 - 3/2*w**4.
-3*w**3*(w - 1)*(w + 2)/2
Suppose -4*f + 3 = -i + 14, 2*i + f = 4. Factor -1/4*u**2 - 1/4*u**4 + 1/2*u**i + 0 + 0*u.
-u**2*(u - 1)**2/4
Let y(w) = 8*w**3 - 6*w + 3. Let l be y(2). Let o = l - 28. Factor -10*n**4 - 27 + o + 2*n**5 - 8*n**2 + 16*n**3.
2*n**2*(n - 2)**2*(n - 1)
Suppose 2*c = 9*c + 77. Let s = c - -25/2. Factor s*w**3 + 6*w**2 + 6*w + 0.
3*w*(w + 2)**2/2
Let q(n) be the third derivative of -n**6/30 - 8*n**5/15 + n**4/6 + 16*n**3/3 + 101*n**2 - 3*n. Let q(s) = 0. Calculate s.
-8, -1, 1
Suppose -2*y - 2*y + 5*l + 18 = 0, -10 = 5*l. Factor 5*v**2 + 5*v**y - 3*v**2 - 2*v**5 - 3*v**2 + 2*v - 4*v**4.
-2*v*(v - 1)*(v + 1)**3
Let s(q) = q**3 - 5*q**2 + 2*q - 5. Let n be s(5). Suppose n*d - 17 + 4 = h, -3*d + 12 = 0. Factor -6*j**2 + j**3 - 2*j**2 + 3*j**3 + h*j**2.
j**2*(4*j - 1)
Let u(t) be the first derivative of -t**7/56 + t**6/20 + 9*t**5/80 - t**4/4 - t**3/2 + 14*t - 8. Let w(c) be the first derivative of u(c). Factor w(y).
-3*y*(y - 2)**2*(y + 1)**2/4
Let a = 159 + -157. Solve 2/5*v**4 - 4/5*v**2 - 2*v + 2/5 - a*v**5 + 4*v**3 = 0.
-1, 1/5, 1
Let w(r) be the second derivative of 16/21*r**3 + 1/6*r**4 - r + 0 + 4/7*r**2. Find o such that w(o) = 0.
-2, -2/7
Let x(o) be the third derivative of -o**6/180 + o**5/90 + o**4/18 + 6*o**2 - 2*o. Find k such that x(k) = 0.
-1, 0, 2
Suppose 5/3*j**3 + 0 + 10/3*j**2 - 40/3*j = 0. What is j?
-4, 0, 2
Let c(h) = -4*h**2 + 12*h. Let y(p) be the third derivative of p**5/60 + p**3/6 - 45*p**2. Let z(r) = c(r) + 8*y(r). Let z(n) = 0. Calculate n.
-2, -1
Let l(u) be the second derivative of -u**5/120 - u**4/24 + u**3/4 + 9*u**2/4 + 43*u + 1. Factor l(j).
-(j - 3)*(j + 3)**2/6
Solve -217*j**3 - 3*j**5 + 65*j**4 - 3*j**3 + 160*j**2 + 0*j**5 - j**5 - j**5 = 0 for j.
0, 1, 4, 8
Let i(c) be the third derivative of -1/80*c**5 - c**2 + 3 + 1/8*c**3 + 0*c + 0*c**4. Factor i(k).
-3*(k - 1)*(k + 1)/4
Find c, given that 96 + 78*c**2 + 256*c - 64*c - 3*c**5 - 4*c**4 - 39*c**3 - 20*c**4 = 0.
-4, -1, 2
Let j be 18*(19/152 + (-1 - -1)). Let r(s) be the first derivative of -10 + 0*s - 9/2*s**2 + 3/5*s**5 + j*s**4 - s**3. Factor r(i).
3*i*(i - 1)*(i + 1)*(i + 3)
Let f(z) be the third derivative of 1/150*z**6 + 0*z - 1/25*z**5 + 0 + 9*z**2 + 1/15*z**4 + 0*z**3. Find j such that f(j) = 0.
0, 1, 2
Let m(b) be the first derivative of 4*b**5/5 + 6*b**4 - 28*b**3/3 - 57. Factor m(o).
4*o**2*(o - 1)*(o + 7)
Let s(n) = n**3 + 35*n**2 + 84*n + 8. Let h(o) = 2*o**3 + 71*o**2 + 168*o + 18. Let b(i) = -4*h(i) + 9*s(i). Let b(t) = 0. Calculate t.
-28, -3, 0
Let p(k) be the third derivative of -k**5/36 - 25*k**4/72 + 20*k**3/3 - 56*k**2 - 4*k. Factor p(i).
-5*(i - 3)*(i + 8)/3
Let h(z) = 27331*z. Let f(m) = -151*m. Let l(p) = -906*f(p) - 5*h(p). Let k be l(1). Solve -153 + k - 2*j + 3*j**2 - 11*j**2 + 12*j = 0.
1/4, 1
Let m(d) be the third derivative of d**10/30240 + d**9/5040 + d**8/3360 - d**4 - 7*d**2. Let t(y) be the second derivative of m(y). Find f such that t(f) = 0.
-2, -1, 0
Let n(c) be the first derivative of 5*c**3/3 + 74. Find m, given that n(m) = 0.
0
Solve 12*m**3 + 3*m - 15*m + 7*m**2 - 816*m**4 + 812*m**4 - 3*m**2 = 0.
-1, 0, 1, 3
Let h(m) be the third derivative of m**9/30240 - m**7/5040 - 5*m**4/12 + 14*