*4.
w*(w - 2)**2*(w + 1)/4
Let j(g) = g**2 - 4. Let r be j(3). Suppose o + 4 + 9 = 5*f, -17 = -3*f - 4*o. Find q, given that -49/4*q**r + 0*q + 6*q**f - q**2 - 21/4*q**4 + 0 = 0.
-1, 0, 2/7
Let b be ((-56)/(-630))/(2/55) + -2. Factor -b*z**4 + 2/9*z**3 + 0*z + 0*z**2 + 0 + 2/9*z**5.
2*z**3*(z - 1)**2/9
Let a(s) = 6*s**5 - 2*s**4 - 2*s**3 - 2*s**2 + 4. Let w(f) = f**4 + 0*f**5 - f**5 + 3 - 4 + 0. Let l(p) = -a(p) - 4*w(p). Solve l(b) = 0.
-1, 0, 1
Let y(t) be the second derivative of 0*t**2 + 0 - 1/60*t**5 + 1/36*t**3 + 1/72*t**4 + 4*t. Suppose y(v) = 0. Calculate v.
-1/2, 0, 1
Let v(i) = -17*i - 2. Let d be v(-1). Find n such that 5 - 8 - 3*n**3 - 4 - 24*n - d*n**2 - 5 = 0.
-2, -1
Suppose 154 - 132 = 11*r. Suppose 1/3*h**r + 4/3*h**3 + 0*h + h**4 + 0 = 0. What is h?
-1, -1/3, 0
Let n(l) = 2*l**4 + l**3 - 3*l**2 + l + 2. Suppose 4*c - 2*c = 6. Let f(x) = -2*x**2 + 5 + 4 + c*x**4 - 6. Let y(g) = 3*f(g) - 4*n(g). Factor y(v).
(v - 1)**4
Let z(c) be the second derivative of -5*c**7/42 - c**6/3 + 5*c**5/2 + 10*c**4/3 - 55*c**3/2 + 45*c**2 + 5*c + 1. Let z(y) = 0. What is y?
-3, 1, 2
Let p(c) be the second derivative of -c**10/10080 - c**9/7560 + c**4/12 + c. Let l(i) be the third derivative of p(i). Solve l(z) = 0 for z.
-2/3, 0
Find s such that 9 + 2*s**4 - 2 + 2*s - 6*s**2 - 3 - 2*s**3 = 0.
-1, 1, 2
Let u(s) be the first derivative of -4*s**3/3 + 4*s**2 + 12*s - 12. Factor u(x).
-4*(x - 3)*(x + 1)
Let w(j) be the third derivative of -2*j**2 + 1/15*j**5 + 0 + 0*j + 1/2*j**4 + 4/3*j**3. Factor w(u).
4*(u + 1)*(u + 2)
Factor -50*q**3 + 4*q**5 - 2*q**5 - 24*q**4 - 4*q**5 - 22*q**3.
-2*q**3*(q + 6)**2
Solve 26*c + 3*c**2 + 29*c + c**3 + c**2 - 52*c = 0 for c.
-3, -1, 0
Let s(t) be the first derivative of -45*t**4/4 - 125*t**3/3 + 15*t**2 + 19. Find w such that s(w) = 0.
-3, 0, 2/9
Let x(h) = h**2. Let c(q) = -9*q**3 + 29*q**2 - 21*q + 6. Let w(j) = c(j) - 5*x(j). Factor w(i).
-3*(i - 1)**2*(3*i - 2)
Let w(s) = -22*s**2 - 6*s + 2. Let h(f) = -23*f**2 - 7*f + 3. Suppose -4*g - b - b = 4, g - 3*b + 15 = 0. Let a(p) = g*w(p) + 2*h(p). Factor a(q).
4*q*(5*q + 1)
Let g = 161/3 - 53. Determine u so that -g*u**2 + 8/3*u - 8/3 = 0.
2
Let s(d) be the second derivative of d**6/180 - d**5/30 + d**4/12 - d**3/2 - 2*d. Let b(j) be the second derivative of s(j). Solve b(c) = 0 for c.
1
Factor 10*a**4 + a**5 + 8*a**2 - 19*a**5 - 16*a**3 + 7*a**5 + 9*a**5.
-2*a**2*(a - 2)**2*(a - 1)
Let a = -6 - -9. Let c = -19 + 25. Factor 2 + 8*w**a - 6*w + 0 + c*w**2 - 10*w**3.
-2*(w - 1)**3
Suppose 0 = 5*x - x - 16. Suppose -w = -3*w + x. Factor -s**w + 3*s - 5*s**2 - s - 2*s**4 + 6*s**3.
-2*s*(s - 1)**3
Let d(n) be the first derivative of -n**4/38 - 10*n**3/57 - 8*n**2/19 - 8*n/19 + 11. Factor d(s).
-2*(s + 1)*(s + 2)**2/19
Let d(h) = -3*h**2 - 13*h + 11. Let p(b) = 2*b**2 + 6*b - 5. Let v be ((-21)/(-6) - 3)*-6. Let z(u) = v*d(u) - 7*p(u). Factor z(g).
-(g + 1)*(5*g - 2)
Let l(d) be the second derivative of 1/84*d**7 + 0*d**2 + 0 + 1/24*d**4 - 3*d - 1/60*d**6 - 1/40*d**5 + 0*d**3. Suppose l(h) = 0. What is h?
-1, 0, 1
Suppose 13 = 4*a + 5. Let 0*o + 0 - 2/5*o**a = 0. What is o?
0
Let t(k) be the first derivative of -k**6/8 + 3*k**5/20 + 3*k**4/8 - 23. Factor t(c).
-3*c**3*(c - 2)*(c + 1)/4
Solve 5/6*u**4 - 5/3*u**3 - 5/6*u + 5/3*u**2 - 1/6*u**5 + 1/6 = 0 for u.
1
Let n(b) = b**2 - 4*b. Let h be n(4). Let z(x) be the first derivative of h*x - 1 + 1/12*x**3 + 1/8*x**2. Solve z(r) = 0 for r.
-1, 0
Let t = 163 + -158. Factor g**3 + 1/2*g**t + 1/2 + g**2 - 3/2*g - 3/2*g**4.
(g - 1)**4*(g + 1)/2
Let z be 123/(-21) - (-9)/3. Let m = -33/14 - z. Factor 0*x + m*x**3 - 1/2*x**2 + 0.
x**2*(x - 1)/2
Let a(i) be the third derivative of i**8/4704 + 2*i**7/2205 + i**6/2520 - i**5/210 + i**4/12 - 4*i**2. Let x(k) be the second derivative of a(k). Factor x(o).
2*(o + 1)**2*(5*o - 2)/7
Let x(p) be the first derivative of p**5/120 + 7*p**2/2 + 5. Let t(w) be the second derivative of x(w). Solve t(o) = 0 for o.
0
Let j(i) = -4*i**2 - 100*i + 68. Let x(g) = -2*g**2 - 40*g + 27. Let t(o) = 5*j(o) - 12*x(o). Factor t(b).
4*(b - 4)*(b - 1)
Solve -4/3 + 2/3*o**3 - 2*o + 0*o**2 = 0 for o.
-1, 2
Let a = 557 - 2784/5. Solve -4/5*g**3 + 0 + g**2 + a*g**4 - 2/5*g = 0.
0, 1, 2
Let g = 17 - 12. Let h = -12/77 + 8/11. Factor 0*y**2 - h*y**4 + 0 + 0*y - 2/7*y**3 - 2/7*y**g.
-2*y**3*(y + 1)**2/7
Let q(s) be the first derivative of -8*s**5/5 + 5*s**4/2 - 2*s**3/3 - 11. Factor q(z).
-2*z**2*(z - 1)*(4*z - 1)
Factor 2 + 9*r**2 + 29 + 23 + 9*r**2 + 54*r + 2*r**3.
2*(r + 3)**3
Let s(b) be the first derivative of -b**4 + 4*b**3/3 + 4*b**2 + 7. Let s(c) = 0. Calculate c.
-1, 0, 2
Let u be (-5)/(-1) - -6*3/(-18). Factor -2/3*h**u + 0 + 0*h - 4/3*h**3 - 2/3*h**2.
-2*h**2*(h + 1)**2/3
Let u(h) = -h**2 + 20*h + 23. Let c be u(21). Determine a so that -1/2*a**c + 1 - 1/2*a = 0.
-2, 1
Let w(q) = -q**2 - 6*q + 3. Suppose -x = 3*r - 2*x + 13, -16 = r + 2*x. Let d be w(r). Factor -3*c**2 - c**d + c**4 - 3*c**3 - 2*c**4 + 4 + 4*c.
-(c - 1)*(c + 1)*(c + 2)**2
Let l(d) be the second derivative of 1/12*d**4 - 3*d + 0*d**2 + 1/3*d**3 + 0 - 1/20*d**5. Solve l(z) = 0 for z.
-1, 0, 2
Let a(i) be the first derivative of -2*i**5/5 - 2*i**4 - 2*i**3 + 5. Suppose a(s) = 0. Calculate s.
-3, -1, 0
Let i(b) be the second derivative of 125*b**7/42 - 10*b**6/3 - 21*b**5/4 + 25*b**4/3 - 10*b**3/3 - 11*b. Solve i(y) = 0 for y.
-1, 0, 2/5, 1
Let o(y) be the third derivative of 0*y**5 + 0*y + 1/630*y**7 + 1/180*y**6 - 1/36*y**4 + 5*y**2 - 1/18*y**3 + 0. Factor o(z).
(z - 1)*(z + 1)**3/3
Let c(y) be the first derivative of -1/3*y**3 + 1/2*y**2 + 2*y - 2. Find n such that c(n) = 0.
-1, 2
Let p(s) = -s**4 - s**3 - s**2 - s. Let h(f) = 2*f**5 - 22*f**4 + 210*f**3 - 598*f**2 + 906*f - 512. Let g(k) = 2*h(k) + 20*p(k). Factor g(x).
4*(x - 4)**3*(x - 2)**2
Let j = 4 - 26/7. Let 4/7*n + 2/7*n**2 + j = 0. Calculate n.
-1
Let k(v) = v + 1. Let q be k(2). Factor -5*x**q + 20*x - 4*x**2 - 68 + x**3 + 56.
-4*(x - 1)**2*(x + 3)
Let v(z) = z**3 + 2*z**2 - 3*z + 2. Let p be v(-3). Find j, given that 4*j**2 - 3*j**2 + j**p - j + 0*j**2 - j**3 = 0.
0, 1
Let s = -4 + -25. Let k = s - -29. Solve 2/7*o**2 + k - 2/7*o**3 - 2/7*o**4 + 2/7*o = 0.
-1, 0, 1
Factor 1/4*f**2 + f + 0.
f*(f + 4)/4
Let c(o) be the first derivative of 0*o**3 - 1/60*o**4 + 0*o - 1/2*o**2 + 1 - 1/150*o**5. Let v(l) be the second derivative of c(l). Factor v(i).
-2*i*(i + 1)/5
Let o(u) = 4*u**4 + 4*u**3 + 5*u. Let t(n) = n**4 + n**3 + n. Let g(a) = 4*o(a) - 20*t(a). Determine k, given that g(k) = 0.
-1, 0
Let y(a) be the first derivative of -a**3/7 - 3*a**2/7 - 3*a/7 + 15. Suppose y(t) = 0. What is t?
-1
Let t(l) be the third derivative of -l**7/945 + l**6/90 - 4*l**5/135 - l**4/18 + l**3/3 - 7*l**2. Let t(k) = 0. Calculate k.
-1, 1, 3
Let l = 35 - 25. Let f = 13 - l. Find i, given that 4/5*i**2 + 0*i + 0*i**f - 2/5*i**4 - 2/5 = 0.
-1, 1
Let f(h) = 2*h**2 + 12*h. Let u(p) = p**2 + 11*p. Let t(w) = 3*f(w) - 4*u(w). Find q, given that t(q) = 0.
0, 4
Suppose -101*l = -83*l - 90. Let 1/4 - 1/2*a**2 - 1/4*a + 1/4*a**4 + 1/2*a**3 - 1/4*a**l = 0. Calculate a.
-1, 1
Suppose -b = -j - 7, -b = -6*b - 2*j. Let d(p) be the second derivative of -1/6*p**4 + 1/9*p**3 + 2*p + 0 + 0*p**b. Let d(a) = 0. What is a?
0, 1/3
Let t(n) = -3*n**2 + 11*n + 14. Let d(r) = 2*r**2 - 7*r - 9. Let v(j) = 8*d(j) + 5*t(j). Solve v(x) = 0 for x.
-1, 2
Let m be 1/(-5) + 2/10. Let a(q) be the third derivative of 1/6*q**3 - 2*q**2 + 1/12*q**4 + 1/60*q**5 + m + 0*q. Determine x so that a(x) = 0.
-1
Let n = 6 + -5. Let a = n + 2. Factor l**2 - a*l**2 + 0*l**2.
-2*l**2
Suppose 0 = 2*h - h - 4*c + 13, 10 = -2*h + 4*c. Factor 6*i**5 - 9*i**5 - h*i**4 - 3*i**4.
-3*i**4*(i + 2)
Let r(p) = -2*p + 3 + 0*p - 2. Let y be r(-2). Factor 2*h**2 + 4*h - y*h + 5*h.
2*h*(h + 2)
Let s(y) = -y - 5. Let r be s(-7). Solve 15 - 3 - 37*b - b + 27*b**r - 22*b = 0 for b.
2/9, 2
Factor -28/5*z**3 - 4*z**2 + 0 + 8/5*z.
-4*z*(z + 1)*(7*z - 2)/5
Let g(p) be the first derivative of p**9/504 + p**8/840 - 2*p**3/3 + 3. Let z(n) be the third derivative of g(n). Factor z(l).
2*l**4*(3*l + 1)
Factor 11 - 2*t**4 - 3*t**5 - 11 + t**3.
-t**3*(t + 1)*(3*t - 1)
Let t(h) = -h**3 - 10*h**2 + 2. Let j be t(-10). Let w(c) be the third derivative of 0*c**3 - 1/30*c**5 + 1/12*