+ 4. Let w be (-6)/(-4)*136/(-51). Let s be v(w). Factor -1 - 1/2*o + 5/2*o**5 - 4*o**s + 5*o**2 - 2*o**3.
(o - 1)**3*(o + 1)*(5*o + 2)/2
Let y(r) = -r**3 - 9*r**2 - 7*r + 10. Let g be y(-8). What is f in 0*f - 3*f**2 + f - 3 - g*f - 5*f = 0?
-1
Let q(s) = 2*s**2 - s**2 - 21*s**3 - 4*s**2 + 8*s - 2*s. Let g(a) = a**3. Let h(o) = -18*g(o) - q(o). Factor h(f).
3*f*(f - 1)*(f + 2)
Let l(z) be the third derivative of 0*z**3 + 3/20*z**5 + 0 + 0*z + z**2 + 1/8*z**6 - 1/4*z**4. What is h in l(h) = 0?
-1, 0, 2/5
Let y(a) be the third derivative of -a**11/1995840 + a**10/453600 - a**9/362880 + a**5/60 + 4*a**2. Let m(g) be the third derivative of y(g). Factor m(l).
-l**3*(l - 1)**2/6
Let c be (0 + 3/(-9))/(-30). Let k(l) be the second derivative of 0*l**2 + l + c*l**6 + 0 - 1/36*l**4 + 0*l**5 + 0*l**3. Factor k(j).
j**2*(j - 1)*(j + 1)/3
Let t = -86 + 88. Factor -1/3*a**t - a - 2/3.
-(a + 1)*(a + 2)/3
Let v(j) be the third derivative of j**6/24 + j**5/12 - 11*j**2. Solve v(i) = 0 for i.
-1, 0
Let w be 1 - ((-1)/(-4) + (-77)/132). Find u such that -2/3*u**5 + 0 + 0*u**2 + w*u**3 + 0*u**4 - 2/3*u = 0.
-1, 0, 1
Factor 430*b - 5 + 5*b**2 - 430*b.
5*(b - 1)*(b + 1)
Let n(f) = -f**4 + f**3 - f**2 - f. Let o(l) = -l**4 + 2*l**3 - 2*l**2 - 2*l. Let c(a) = -3*n(a) + 2*o(a). Determine k so that c(k) = 0.
-1, 0, 1
Let g = 10 - 5. Let r(t) be the third derivative of t**2 - 1/180*t**g + 0 + 1/72*t**4 - 1/360*t**6 + 0*t + 1/18*t**3. Factor r(q).
-(q - 1)*(q + 1)**2/3
Let j = 3812/205 + -8/41. Factor 12/5 + 32*t**2 + 64/5*t**3 - j*t.
4*(t + 3)*(4*t - 1)**2/5
Let r = -461 + 464. Determine q, given that 15/2*q**3 + 0 - r*q - 9/2*q**2 = 0.
-2/5, 0, 1
Let p = 242 - 239. Let y(x) = -2*x - 4. Let i be y(-3). Factor -1/5 + 1/5*u**p + 3/5*u - 3/5*u**i.
(u - 1)**3/5
Let v(c) be the second derivative of -c**5/70 - c**4/42 - 57*c. Determine f so that v(f) = 0.
-1, 0
Let p be -1 + (-2)/((-2)/3). Factor p*h - 2*h - 3*h**2 + h**2 + h**3.
h**2*(h - 2)
Let h be ((-4)/12)/((-2)/(-12)) - -2. Factor 0*g + 2/5*g**4 + 0 - 2/5*g**5 + 0*g**3 + h*g**2.
-2*g**4*(g - 1)/5
Suppose -8 = -2*j, 2*v + j = -2*v + 8. Let m be v/2*(-10 - -14). Find b, given that 0 + 1/2*b**3 + m*b + 2*b**2 = 0.
-2, 0
Let m(h) be the first derivative of 4 - 6*h**3 + 6*h**2 - 3/5*h**5 - 3*h + 3*h**4. Solve m(u) = 0 for u.
1
Let d(c) be the second derivative of -c**4/27 - 8*c**3/27 - 2*c**2/3 + 18*c + 1. Factor d(m).
-4*(m + 1)*(m + 3)/9
Factor -6*q + 8*q + 9*q**2 - 8*q**2.
q*(q + 2)
Suppose 2*i = -u + 19 - 8, -4*u = -2*i - 14. Suppose -i*b = 2*b - 15. Suppose 0 + 3*x**b + 3*x + 2 - 4*x**3 = 0. Calculate x.
-1, 2
Let q(a) = a**2 - a - 1. Let d(o) = -7*o**2 - o - 1. Let y(p) = d(p) + 6*q(p). Let m be y(-5). Determine f so that -2*f**m - 14*f**2 - 4*f + 2*f + 10*f**2 = 0.
-1, 0
Let q = -699/4 - -176. Solve -o**2 - 1/2 + q*o + 1/4*o**3 = 0.
1, 2
Let f(z) = -2*z**2 + 8*z - 2. Let b be f(3). Determine u, given that 2/3*u**b + 0*u + 2/3*u**2 - 4/3*u**3 + 0 = 0.
0, 1
Let u(x) be the third derivative of x**6/30 - x**5/15 + 13*x**2. Factor u(s).
4*s**2*(s - 1)
Suppose 10*c = 11*c. What is g in c - 2/5*g - 2/5*g**2 = 0?
-1, 0
Let c(u) be the first derivative of u**4/30 - 2*u**3/45 - u**2/15 + 2*u/15 + 6. Determine s, given that c(s) = 0.
-1, 1
Let s(r) = r**2 + 3*r - 2. Let u be s(-4). Suppose 4 = -u*o + 6. Find z, given that -3/2*z + 0*z**2 + 1/2*z**3 - o = 0.
-1, 2
Let c be (8/(-1255))/((-26)/4927). Let s = -2/251 + c. Factor 3/5*z**4 + 3/5*z**5 - s*z**3 - 6/5*z**2 + 3/5*z + 3/5.
3*(z - 1)**2*(z + 1)**3/5
Let v(o) be the first derivative of 1/3*o**2 + 0*o - 2/27*o**3 - 2. Find w, given that v(w) = 0.
0, 3
Suppose -4*l + 5*o = 0, -5*l + 12 = o - 17. Suppose -2*r = 4*x - 2, -r + 5*r + l*x = 7. Factor n + n**5 + n - n - 2*n**r.
n*(n - 1)**2*(n + 1)**2
Let p = 689 + -687. Suppose 1/2*y**p + 0 + y = 0. Calculate y.
-2, 0
Let x be (-1)/(-30)*1/12. Let w(l) be the third derivative of 0*l**3 + x*l**6 + 0 + 0*l**4 + 0*l + 0*l**5 - l**2. Factor w(b).
b**3/3
Let c(m) be the second derivative of 4*m**4/21 + 2*m**3/7 - 2*m**2/7 - 22*m. Find f, given that c(f) = 0.
-1, 1/4
Let x = 2201/10 + -219. Let i = x + -3/5. Factor -1/4 - 1/4*t + i*t**2.
(t - 1)*(2*t + 1)/4
Let c(u) = 3*u**5 + 6*u**4 - 24*u**3 + 6*u**2 + 3*u + 6. Let g(a) = 7*a**5 + 11*a**4 - 49*a**3 + 11*a**2 + 7*a + 13. Let t(v) = -13*c(v) + 6*g(v). Factor t(m).
3*m*(m - 1)**4
Factor 2/11*q + 4/11 - 2/11*q**2.
-2*(q - 2)*(q + 1)/11
Let d be 72/30 - 6/15. Factor r**4 + 10*r**4 - d - 37*r**2 - 19*r**4 - 15*r - 33*r**3 - r**4.
-(r + 1)*(r + 2)*(3*r + 1)**2
Let c(a) be the second derivative of a**7/630 - a**6/90 + 7*a**4/12 - a. Let b(y) be the third derivative of c(y). Determine n, given that b(n) = 0.
0, 2
Let q(r) = r**3 + 5*r**2 - 8*r - 6. Let w be q(-6). Suppose b = 5*o - 23, 2*b + w*o - 3*o - 19 = 0. Factor l**3 + 0*l**3 + b*l**2 + 0*l**4 - l**4.
-l**2*(l - 2)*(l + 1)
What is a in 6/7*a**2 + 0 + 6/7*a**3 + 2/7*a + 2/7*a**4 = 0?
-1, 0
Let s(v) = v**5 + v**4 + v. Let i(r) = -6*r**5 - r**4 + 10*r**3 - 6*r. Let m(y) = -i(y) - s(y). Factor m(d).
5*d*(d - 1)**2*(d + 1)**2
Factor u**2 - 3*u**2 + 0*u**2 - 4*u + 20*u.
-2*u*(u - 8)
Let t(s) be the second derivative of s**7/420 + s**6/30 + 3*s**5/20 - 9*s**3/4 + s**2 + 7*s. Let z(o) be the first derivative of t(o). Factor z(y).
(y - 1)*(y + 3)**3/2
Let a = 34 - 203/6. Let z(h) be the second derivative of 1/4*h**2 + 0 - 3*h + 0*h**4 - a*h**3 + 1/20*h**5 - 1/60*h**6. Solve z(k) = 0.
-1, 1
Let l(t) be the second derivative of -t**9/6048 + t**7/840 - t**5/240 + t**3/3 + 3*t. Let x(b) be the second derivative of l(b). Suppose x(n) = 0. What is n?
-1, 0, 1
Let z(q) be the first derivative of 0*q + 1/6*q**4 - 4/9*q**3 + 2/15*q**5 - 3 + 0*q**2. Factor z(r).
2*r**2*(r - 1)*(r + 2)/3
Let b(h) = -22*h**2 + 52*h + 500. Let y(r) = -2*r**2 - r - 1. Let l(c) = -b(c) + 12*y(c). Factor l(w).
-2*(w + 16)**2
Let n(j) = 2*j**2 + 8*j + 2. Suppose 5*h = 7 + 8. Let k(g) = -g**2 - 7*g - 1. Let q(o) = h*n(o) + 4*k(o). Find r such that q(r) = 0.
1
Suppose 3*k - 2*t = -2 + 18, 2*k = -4*t. Let -2/11*x**3 - 2/11*x**5 + 0*x + 0 + 0*x**2 - 4/11*x**k = 0. Calculate x.
-1, 0
Let w = 2/1539 - 686/1539. Let x = -1/9 - w. Factor 1/3*g**2 - x + 0*g.
(g - 1)*(g + 1)/3
Let c(a) be the first derivative of a**7/126 + a**6/90 - a**5/60 - a**4/36 + 5*a - 7. Let q(m) be the first derivative of c(m). Factor q(j).
j**2*(j - 1)*(j + 1)**2/3
Factor -4*s**2 - 5*s**2 - 6*s**2 + 12*s**2.
-3*s**2
Let d(m) be the second derivative of -m**7/2 + 3*m**6 - 15*m**5/2 + 10*m**4 - 15*m**3/2 + 3*m**2 + m. Factor d(v).
-3*(v - 1)**4*(7*v - 2)
Suppose -5*c = 5*x - 5, 9 = 5*x - 0*c + 3*c. Find u such that 12*u + 18*u**2 + 8/3 + 9*u**x = 0.
-2/3
Let -40 + 10*h**2 + 52 - 42 + 25*h - 5*h**3 = 0. What is h?
-2, 1, 3
Let d(i) be the second derivative of -i**7/840 + i**6/240 - i**4/3 - i. Let b(q) be the third derivative of d(q). Determine n, given that b(n) = 0.
0, 1
Factor 66*f**2 - 4*f + 3*f - 68*f**2 - f**3.
-f*(f + 1)**2
Let n(f) be the second derivative of -1/18*f**3 + 0 + 2/45*f**6 + 1/9*f**4 - 1/10*f**5 - 1/126*f**7 + 0*f**2 + 2*f. Determine v, given that n(v) = 0.
0, 1
Suppose 20 - 4 = 4*u. Suppose -u*m + 7*m = 0. Factor 2/9*j**2 - 2/9*j**3 + 0*j - 2/9*j**4 + m + 2/9*j**5.
2*j**2*(j - 1)**2*(j + 1)/9
Let d(w) = 2*w**5 + 9*w**4 + 3*w**3 - w**2 - 3. Let u(y) = -6*y**5 - 26*y**4 - 10*y**3 + 2*y**2 + 8. Let f(j) = 8*d(j) + 3*u(j). Factor f(l).
-2*l**2*(l + 1)**3
Let o(s) = 7*s**4 + 12*s**3 + 19*s**2 + 2*s + 4. Let j(x) = -8*x**4 - 12*x**3 - 20*x**2 - x - 5. Let l(q) = -4*j(q) - 5*o(q). What is y in l(y) = 0?
-2, -1, 0
Let z be 0/(6 - 3) + 36/14. Factor 8/7*r**2 + 4/7 - z*r.
2*(r - 2)*(4*r - 1)/7
Let t = -4048/3 + 1350. Factor 0*f**2 - t*f**4 + 0*f - 4/3*f**3 + 0.
-2*f**3*(f + 2)/3
Factor -2/9*a**2 + 0*a + 2/9*a**3 + 2/9*a**4 - 2/9*a**5 + 0.
-2*a**2*(a - 1)**2*(a + 1)/9
Let y(v) be the third derivative of -v**6/360 - v**5/60 - v**4/24 - v**3/18 + 13*v**2. Factor y(w).
-(w + 1)**3/3
Let x(j) = 4*j**2 + 19*j - 7. Let l(g) = -5 + g**2 + 10*g + g**2 + 0*g + 1. Let f(u) = 7*l(u) - 4*x(u). Factor f(b).
-2*b*(b + 3)
Solve 0*v**2 + 0*v - 4/19*v**3 + 2/19*v**4 + 0 = 0.
0, 2
Let m(h) be the third derivative of 3*h**2 + 1/120*h**6 - 1/336*h**8 - 1/210*h**7 + 0 + 0*h**4 + 0*h**3 + 0*h + 1/60*h**5. Factor m(u).
-u*