**3 + 19*f**2 - 5*f - 3. Let j(a) = 3*g(a) - 5*z(a). Let j(w) = 0. Calculate w.
0, 2/5, 4
Let z be 2/8 - 42/(-24). Suppose 2*u + z*u = 20. Factor u - 2 + 2*t**2 - 3 + 2 + 4*t.
2*(t + 1)**2
Let q(p) be the third derivative of 3*p**6/280 - p**5/28 - p**4/14 + 2*p**3/7 - 8*p**2. Factor q(i).
3*(i - 2)*(i + 1)*(3*i - 2)/7
Let p(x) be the first derivative of 14/15*x**3 - 4 - 4/5*x + x**2. What is b in p(b) = 0?
-1, 2/7
Let w = 151/7 - 21. Let l be -3 - (0 - 92/28). Solve -l*a**2 + w*a + 0 = 0.
0, 2
Let h = -9 - -15. Suppose 3*v + 4*r + h = 2*v, r = -2*v + 2. Find w, given that -2/3*w**2 - 4/3 - v*w = 0.
-2, -1
Find g, given that -1/5*g**4 + 0 + 1/5*g**3 - 1/5*g + 1/5*g**2 = 0.
-1, 0, 1
Let 25*r**3 + 23*r**3 + 4*r**4 + 216*r**2 + 89 + 235 + 432*r = 0. What is r?
-3
Let g(d) be the first derivative of -7*d**4/8 + d**3/3 + 7*d**2/4 - d + 15. Factor g(f).
-(f - 1)*(f + 1)*(7*f - 2)/2
Let f(r) be the third derivative of -r**5/30 + r**4/6 - 7*r**2. Factor f(z).
-2*z*(z - 2)
Suppose 0 = -0*b - 5*b + 10. Factor -2/11 - 8/11*q**b - 10/11*q.
-2*(q + 1)*(4*q + 1)/11
Let h(z) be the second derivative of -5*z**4/12 + 10*z**3/3 - 15*z**2/2 + 5*z. Determine o, given that h(o) = 0.
1, 3
Let j(g) be the third derivative of 0*g - 1/840*g**7 - 3*g**2 - 1/48*g**4 - 1/120*g**6 + 0*g**3 - 1/48*g**5 + 0. Factor j(w).
-w*(w + 1)**2*(w + 2)/4
Let i(q) = -q**2 + 3*q + 2. Let u be i(3). What is g in -3*g - g - 2 - 13*g**2 + 11*g**u = 0?
-1
Let f(s) = 10*s**4 + 17*s**3 + 7*s**2 + 3. Let o(t) = 10*t**4 + 16*t**3 + 6*t**2 + 2. Let x(n) = -4*f(n) + 6*o(n). Factor x(r).
4*r**2*(r + 1)*(5*r + 2)
Let n(o) = 0 - 4 - 3 + o + 0*o. Let w be n(9). Factor -2/7*a**w - 8/7 - 8/7*a.
-2*(a + 2)**2/7
Let w be -2*3/12*-12. Suppose 4*s - o + 2 = 4*o, -w = -5*s + 2*o. Factor -1/3*f**4 + 0*f**s + 1/3 + 2/3*f**3 - 2/3*f.
-(f - 1)**3*(f + 1)/3
Suppose 4*j = -4*n + 8*j + 8, 0 = 4*n + 2*j - 14. Factor -a + 2*a**5 + 3*a + 5*a**n - 9*a**3.
2*a*(a - 1)**2*(a + 1)**2
Let c = -137 + 21. Let w = c + 582/5. Factor w + 8/5*z**2 - 2*z.
2*(z - 1)*(4*z - 1)/5
Let g(c) be the second derivative of c + 0*c**3 + 0 + 1/42*c**4 + 0*c**2. Solve g(q) = 0.
0
Let n(o) = -9*o**3 - 4*o**2 + 13*o + 5. Let v(y) = 10*y**3 + 4*y**2 - 14*y - 6. Let z(p) = -6*n(p) - 5*v(p). Factor z(j).
4*j*(j - 1)*(j + 2)
Let o(b) = b**2 + 13*b. Let v(k) = 6*k. Let z(h) = 3*o(h) - 7*v(h). Factor z(m).
3*m*(m - 1)
Suppose -3*a - 2*u - 2*u - 2 = 0, 2*a + 6 = -5*u. Let -4*k + k**2 + 4*k**3 - 2 - k**a + 2*k**4 = 0. Calculate k.
-1, 1
Let 4/7 + 18/7*h - 10/7*h**2 = 0. Calculate h.
-1/5, 2
Let t(a) be the first derivative of -2*a**3/9 - 2*a**2/3 - 2*a/3 + 8. Suppose t(c) = 0. What is c?
-1
Let o(b) be the second derivative of b**8/840 - b**6/120 + b**5/60 - b**4/4 - 2*b. Let z(k) be the third derivative of o(k). Find f such that z(f) = 0.
-1, 1/2
Suppose 5*b - 6*f + f + 35 = 0, 4*b - 12 = -4*f. Let s = b + 2. Find o such that -1/3*o**2 - 1/3*o + s = 0.
-1, 0
Suppose -3*k = 5*p - 1, 3*p + 4*k = -0 - 6. Find o such that 0*o**p + 1/3*o**3 + 1/6*o**4 - 1/6 - 1/3*o = 0.
-1, 1
Suppose -z + 25 = 22. Factor 4/3*l + 1/3 + 2/3*l**z + 5/3*l**2.
(l + 1)**2*(2*l + 1)/3
Let h be 0/(4/(-4) - 2). Suppose -2/5*c**3 + h + 2/5*c**4 + 0*c**2 + 0*c = 0. What is c?
0, 1
Let l be -4 + 7 - (3 + 0). Let v(y) be the second derivative of 0*y**3 + 0*y**2 + 1/10*y**5 - 1/10*y**6 + l - 5/42*y**7 - 3*y + 0*y**4. Factor v(m).
-m**3*(m + 1)*(5*m - 2)
Let g(b) be the third derivative of b**5/80 + 3*b**4/32 + b**3/4 - b**2. Factor g(j).
3*(j + 1)*(j + 2)/4
Let n be 3/15*(-2)/(-6). Let y(l) be the third derivative of -n*l**3 - 1/150*l**5 - l**2 + 0 + 0*l + 1/30*l**4. Determine x so that y(x) = 0.
1
Let v(d) be the second derivative of -d**6/180 - d**5/120 + d**4/36 - d. Determine f, given that v(f) = 0.
-2, 0, 1
Factor 7*q**2 - 2*q**2 - 14*q - 9 - 4*q**2 + 6*q.
(q - 9)*(q + 1)
Let y(c) be the first derivative of c**8/210 - c**7/60 + c**6/90 + c**5/60 - c**3/3 - 3. Let k(m) be the third derivative of y(m). Factor k(j).
2*j*(j - 1)**2*(4*j + 1)
Let t(s) = 4*s**3 + s. Let k(z) = 2*z**3 + z. Let r(l) = l**2 + 6*l + 6. Let a be r(-4). Let c be ((-5)/5)/(a/10). Let d(p) = c*k(p) - 3*t(p). Factor d(o).
-2*o*(o - 1)*(o + 1)
Factor 0*p + 0 + 0*p**2 - 2/9*p**4 + 2/9*p**3.
-2*p**3*(p - 1)/9
Suppose 3*d + w = -2, 0 = -2*d + 27*w - 28*w - 2. Factor 0 + 2/3*y**2 + d*y - 7/3*y**3.
-y**2*(7*y - 2)/3
Suppose 0 = 4*r + 7*f - 3*f - 12, -5*f = -2*r - 15. Factor -4/3*m + r + 2/3*m**2.
2*m*(m - 2)/3
Let z(v) be the second derivative of -2/3*v**3 + 1/30*v**5 + 3*v + 1/12*v**4 + 3/2*v**2 + 0. Let f(r) be the first derivative of z(r). Let f(j) = 0. What is j?
-2, 1
Let n(r) be the third derivative of -r**6/60 - r**5/15 - r**4/12 - 19*r**2. Suppose n(c) = 0. What is c?
-1, 0
Let a be -1*(-1 - 1)*8. Suppose 2*k - j - a = 0, 2*k + 2*j + 0*j - 4 = 0. Suppose -2 + 2 - 8*f**2 + 8*f + k*f**3 - 4*f**3 = 0. What is f?
0, 2
Let u be (-476)/(-204) + (-2)/6. Find o, given that 7/5*o - 2/5 + 3/5*o**4 - 1/5*o**u - 7/5*o**3 = 0.
-1, 1/3, 1, 2
Let d(k) = -k**2 + 1. Let c(q) = -7*q**2 + 7*q + 5. Let l(g) = -7*g**2 + 6*g + 5. Let z(v) = 4*c(v) - 5*l(v). Let u(w) = -5*d(w) - z(w). Factor u(o).
-2*o*(o - 1)
Let y(l) = 9*l**2 - 2*l - 2. Let p(q) = -q**2 + 1. Let u(v) = 6*p(v) + y(v). Let g(n) = -13*n**2 + 7*n - 16. Let k(t) = 2*g(t) + 9*u(t). Factor k(h).
(h - 2)**2
Let m(s) = 12*s**3 + s**2 - 4*s. Let d = 9 + -6. Let q(k) = 13*k**3 + k**2 - 5*k. Let g(i) = d*m(i) - 2*q(i). Determine n so that g(n) = 0.
-1/2, 0, 2/5
Suppose 0 = 3*o + y + 14, o - 4*y + 11 = -11. Let d be ((-1)/o)/((-3)/(-9)). Factor 0 + 0*i + 1/2*i**3 - d*i**2.
i**2*(i - 1)/2
Let h(j) be the second derivative of 15*j**7/7 + 17*j**6/15 - 102*j**5/5 - 32*j**4/3 + 32*j**3 - 16*j**2 + 31*j. Determine y, given that h(y) = 0.
-2, -1, 2/9, 2/5, 2
Suppose 2 = b - 0. Let o(j) be the third derivative of 1/20*j**5 + 0*j**4 + 0 + 0*j - 1/140*j**7 - j**b + 0*j**6 - 1/4*j**3. Factor o(y).
-3*(y - 1)**2*(y + 1)**2/2
Let y(w) = 2*w + 14. Let q be y(-6). Solve 3*u + 4*u**q - 6*u - 5*u - 2*u**2 = 0 for u.
0, 4
Suppose 0 = -29*j + 69 + 18. Let n be (-1 - 0) + (2 - 1). Factor -2/5*t**5 + n*t + 0*t**j + 0 + 0*t**4 + 0*t**2.
-2*t**5/5
Suppose 5*l = -2*p + 16, p + 5 = 6*l - 2*l. Let r(a) be the first derivative of a**l - 1 - 2/3*a**3 + 4*a. Factor r(s).
-2*(s - 2)*(s + 1)
Let k(t) = -15*t + 15. Let l(b) = 0*b**2 + 0*b - 29 - b**2 + 29*b. Let q(i) = -5*k(i) - 3*l(i). Factor q(d).
3*(d - 2)**2
Factor 9/5*z - 6/5 - 3/5*z**2.
-3*(z - 2)*(z - 1)/5
Let u(r) = -r**3 - r**2 - 1. Let s(w) = 4*w**2 - 4*w - 12. Let g(q) = -s(q) + 4*u(q). Factor g(j).
-4*(j - 1)*(j + 1)*(j + 2)
Let k = 15 + -8. What is v in 24*v - 2*v**2 + k + 1 + 16*v + 20*v**2 = 0?
-2, -2/9
Let o be (-2 - -1)/(2/(-6)). Factor -7*b**2 - 4*b**4 + b**5 + 7*b**4 + o*b**2.
b**2*(b - 1)*(b + 2)**2
Let d = 897/5 - 179. Factor 24*l**3 - d - 92/5*l**2 + 24/5*l - 10*l**4.
-2*(l - 1)**2*(5*l - 1)**2/5
Let h = 324 + -4210/13. Factor -h*i - 2/13*i**5 + 0*i**2 + 0*i**4 + 0 + 4/13*i**3.
-2*i*(i - 1)**2*(i + 1)**2/13
Suppose 3*w = -2*h - 3*h - 89, 3*h + 126 = -4*w. Let f = 133/4 + w. Determine s, given that 0 + 1/4*s**3 + 0*s - 1/4*s**2 - f*s**5 + 1/4*s**4 = 0.
-1, 0, 1
Let x be (-3)/12 - 51/(-12). Factor x - 5 + 9*l**2 + 12*l + 4.
3*(l + 1)*(3*l + 1)
Let -3 - 8*b**2 - 33*b**3 + 37*b**3 + 3 + 4*b = 0. Calculate b.
0, 1
Let c(j) be the third derivative of 0*j - 5/3*j**4 + 5/21*j**7 - 4*j**2 + 1/3*j**6 - 7/10*j**5 + 0 - 4/3*j**3. Factor c(l).
2*(l - 1)*(l + 1)*(5*l + 2)**2
Let n(b) be the third derivative of 0*b**5 + 0*b**4 + 0 + 0*b - 1/70*b**7 + 0*b**3 + 0*b**6 - 1/112*b**8 - 3*b**2. Let n(q) = 0. Calculate q.
-1, 0
Let l = -30 + 32. Let w(o) be the first derivative of -4/3*o**2 + 5/9*o**3 + l - 4/3*o. Factor w(s).
(s - 2)*(5*s + 2)/3
Let r(c) be the third derivative of -c**7/840 + c**5/240 + 15*c**2. Solve r(m) = 0 for m.
-1, 0, 1
Let t(x) be the second derivative of 16/75*x**6 + 0 + 0*x**2 - 8/25*x**5 + 1/15*x**3 - 3*x - 1/30*x**4. Find g such that t(g) = 0.
-1/4, 0, 1/4, 1
Suppose 5*f + a - 30 = 4*a, 4*a = 5*f - 35. Let t be (f/(-6))/(1/(-4)). Let g - 2*g - 2*g**t + 2*g**4 + 3*g**5 - 2*g**5 = 0. What is g?
-1, 0, 1
Let k be (0 + 1)/((-4)/(-20)). Factor k + h - 5 + 0*h**2 - h**2.
-h*(h - 1)
Let d(w) = 11*w**2 + 6*w. Let k(j) = j**2 + 4*j. 