 = 0.
-1, 2/7
Suppose 22 = 4*f - 2. Factor 8*c**2 - f*c**2 + 2*c**4 - 3*c**3 - c**3.
2*c**2*(c - 1)**2
Suppose 0 = -w + 3*w - 6. Factor -3*x**5 - x**3 - x**3 + w*x**3 + 2*x**5.
-x**3*(x - 1)*(x + 1)
Let c(t) = 19*t**4 - 85*t**3 + 75*t**2 - 29*t + 2. Let z(a) = -a**4 - a**2 - a. Let i(x) = -c(x) + 6*z(x). Suppose i(o) = 0. Calculate o.
1/5, 1, 2
Suppose 0 = -o - a - 7, 2*a = 2*o - 5 - 1. Let i = o - -4. Solve -3*j - 1 - 17*j**i - 1 + 22*j**2 = 0.
-2/5, 1
Suppose 3/7 - 3/7*v**2 + 0*v = 0. Calculate v.
-1, 1
Let h(c) be the third derivative of -25*c**8/168 - 19*c**7/21 - 139*c**6/60 - 97*c**5/30 - 8*c**4/3 - 4*c**3/3 + c**2. Factor h(o).
-2*(o + 1)**3*(5*o + 2)**2
Factor -4*o + 24*o**2 - 23*o**2 - 2 + 2*o + 3.
(o - 1)**2
Let n(o) be the second derivative of o**7/2940 + o**3/3 - 4*o. Let m(s) be the second derivative of n(s). Factor m(l).
2*l**3/7
Let a(h) be the first derivative of h**5 - 25*h**4/4 + 10*h**3 + 10*h**2 - 40*h + 23. What is x in a(x) = 0?
-1, 2
Let k(u) be the second derivative of -u**9/1512 - u**8/280 - u**7/140 - u**6/180 + 2*u**3/3 + u. Let h(t) be the second derivative of k(t). Factor h(z).
-2*z**2*(z + 1)**3
Let l(s) = -s**5. Let r be 1/(-2) + (-12)/(-8). Let w(k) = -9*k**5 + 6*k**4 - 3*k**3. Let z(a) = r*w(a) - 6*l(a). Let z(g) = 0. What is g?
0, 1
Let r(b) = -b + 13. Let x be r(10). Let f be (-30)/20 + (x - 1). Suppose -f*t**3 - 1/4*t**4 + 1/2*t + 1/4 + 0*t**2 = 0. Calculate t.
-1, 1
Let w(s) be the second derivative of -s**7/315 + s**6/108 - s**5/180 + s**3/2 + 4*s. Let u(j) be the second derivative of w(j). Factor u(m).
-2*m*(m - 1)*(4*m - 1)/3
Find b such that -2*b**2 + 42*b - 18*b - 20 - 2*b**2 = 0.
1, 5
Find f, given that 6*f**4 - 4*f**5 + 4*f**3 + 20*f - 20*f + 6*f**4 - 12*f**2 = 0.
-1, 0, 1, 3
Let s(z) = 0 + 0*z**2 - z**2 - 1 + z + 0. Let c(j) = 5*j**2 - 4*j + 4. Let y(r) = -c(r) - 4*s(r). Factor y(u).
-u**2
Let g(z) = -z**4 - 25*z**3 - 5*z**2 + 72*z - 41. Let p(n) = 12*n**3 + 3*n**2 - 36*n + 21. Let q(w) = -3*g(w) - 7*p(w). Suppose q(u) = 0. Calculate u.
-2, 1, 2
Let b(x) = x**2 - x. Let d(l) = 2*l**3 + 2*l**2 + 16*l + 4. Suppose -1 = -i - 3*k + 1, -2*k - 1 = 3*i. Let m(z) = i*d(z) - 6*b(z). Factor m(s).
-2*(s + 1)**2*(s + 2)
Let h = 3/179 + 337/1253. Factor 0*v + 2/7 - h*v**2.
-2*(v - 1)*(v + 1)/7
Suppose 0 = -0*f + 3*f. Let y = -6700/9 + 746. Find r, given that 0 + f*r - y*r**4 - 14/9*r**3 - 4/9*r**5 - 4/9*r**2 = 0.
-2, -1, -1/2, 0
What is d in 0 + 2/17*d**3 - 2/17*d**2 + 0*d = 0?
0, 1
Factor 4/5 + 97/5*w**2 + 5*w**5 + 32/5*w + 139/5*w**3 + 19*w**4.
(w + 1)**3*(5*w + 2)**2/5
Let u(i) be the second derivative of -i**7/2520 + i**6/720 + i**5/60 + i**4/12 + 5*i. Let b(s) be the third derivative of u(s). Factor b(w).
-(w - 2)*(w + 1)
Suppose 18/5*w**2 + 32/5 + 2/5*w**3 + 48/5*w = 0. What is w?
-4, -1
Factor 0 + 0*c + 0*c**2 - 4/5*c**3 + 4/5*c**4.
4*c**3*(c - 1)/5
Let k(q) = -2*q**5 + 4*q**4 + 6*q. Let c(m) = m**2 + m. Let n(p) = 4*c(p) - k(p). Factor n(x).
2*x*(x - 1)**3*(x + 1)
Let a(k) be the third derivative of -k**7/350 + k**5/100 + 11*k**2. Find z, given that a(z) = 0.
-1, 0, 1
Let w(r) be the first derivative of -3*r**4/16 - 5*r**3/6 - 9*r**2/8 - r/2 + 2. Factor w(g).
-(g + 1)*(g + 2)*(3*g + 1)/4
Find q, given that -3/7*q**3 + 9/7*q**2 + 12/7*q + 0 = 0.
-1, 0, 4
Let 21 + 0*c**4 + 4*c**4 + 2 - 28*c**3 - 7 + 60*c**2 - 52*c = 0. Calculate c.
1, 4
Let z be (-93)/220*6 + 3. Let k = z - -2/55. Let k*y**3 - 1/2 - 1/2*y + 1/2*y**2 = 0. Calculate y.
-1, 1
Let n be 0 + 0 + (-5)/(-45). Let t(m) be the first derivative of 4/9*m - 2/27*m**3 - 1 + n*m**2. Factor t(k).
-2*(k - 2)*(k + 1)/9
Let j(c) be the second derivative of 0*c**3 + 3/2*c**2 + 0 - 1/4*c**4 - 4*c. Factor j(y).
-3*(y - 1)*(y + 1)
Let y(j) be the first derivative of -3*j**5/7 + 33*j**4/14 - 33*j**3/7 + 30*j**2/7 - 12*j/7 - 7. Determine g so that y(g) = 0.
2/5, 1, 2
Let f(d) = -2*d**2 + 12*d - 4. Let t(c) = c + 1. Let m be ((-3)/12)/(2/8). Let h(p) = m*f(p) + 4*t(p). Solve h(y) = 0.
2
Factor 2/11*q**4 - 6/11*q**3 + 0 - 2/11*q + 6/11*q**2.
2*q*(q - 1)**3/11
Let q be ((-4)/(-10))/((-1)/(-5)). Let s(w) be the first derivative of -1/4*w - q + 1/16*w**4 + 1/12*w**3 - 1/8*w**2. Solve s(x) = 0.
-1, 1
Suppose -111 = -6*c + 9. Suppose -4*x - x - c = -3*y, -5*x - 20 = 0. Factor -1/4*f**2 + 1/4 + y*f.
-(f - 1)*(f + 1)/4
Factor 40 + 9*b**2 + 34*b - 4*b**2 - 4*b.
5*(b + 2)*(b + 4)
Let u(n) be the first derivative of n**6/6 - n**4 + 2*n**3/3 + 3*n**2/2 - 2*n - 48. Factor u(s).
(s - 1)**3*(s + 1)*(s + 2)
Let m be (-3)/12 - 26/(-8). Factor 0*b**2 - 6*b**2 + 6*b**3 + 3 - 3*b + m*b**4 - b**5 - 2*b**5.
-3*(b - 1)**3*(b + 1)**2
Let p be (2/6)/(2/18 + 0). What is a in 3 + 15/4*a**2 + 6*a + 3/4*a**p = 0?
-2, -1
Factor -3/7*i**4 - 3/7*i - 9/7*i**2 + 0 - 9/7*i**3.
-3*i*(i + 1)**3/7
Suppose 0 = -16*w + 18*w - 12. Let f(g) be the third derivative of 0*g**5 + 0*g**3 + 0 + 1/420*g**w - g**2 + 0*g + 0*g**4. Factor f(z).
2*z**3/7
Let f(r) be the third derivative of 0*r**3 - 1/8*r**4 + 1/5*r**5 + 7*r**2 - 3/20*r**6 + 0*r + 0 - 1/112*r**8 + 2/35*r**7. Factor f(h).
-3*h*(h - 1)**4
Let h be -1 + (5/(-10) - -6). Factor 3 + 3/2*k**2 + h*k.
3*(k + 1)*(k + 2)/2
Let 8/9*c - 4/9*c**3 + 8/9 - 2/3*c**2 + 2/9*c**4 = 0. Calculate c.
-1, 2
Let k = -367/65 - -76/13. Factor 1/5*z**2 - 1/5*z**4 + 0 + 1/5*z - k*z**3.
-z*(z - 1)*(z + 1)**2/5
Suppose -2*j - 2*o = -0*j - 12, -3*j = o - 14. Suppose -l - 8*l**2 - 7*l**j + 43*l**3 - 16*l**2 + 2 - 13*l**4 = 0. Calculate l.
-1/4, 2/5, 1
Let a(m) be the first derivative of 0*m + 5/18*m**6 - 4/5*m**5 + 0*m**2 - 1 + 3/4*m**4 - 2/9*m**3. Solve a(i) = 0.
0, 2/5, 1
Let n(l) be the second derivative of -l**7/168 + l**6/120 + l**5/80 - l**4/48 - l. Suppose n(k) = 0. What is k?
-1, 0, 1
Let b(h) be the first derivative of 9*h**6/20 + 81*h**5/40 + 21*h**4/8 + 19*h**3/12 + h**2/2 + 8*h + 9. Let d(n) be the first derivative of b(n). Factor d(r).
(r + 2)*(3*r + 1)**3/2
Let d(c) be the first derivative of -3*c**4/4 + 3*c**3 + 27*c**2/2 + 15*c - 22. Find n such that d(n) = 0.
-1, 5
Suppose n - 82 = 3*n. Let g = n - -124/3. Factor 0*w**2 - g + 2/3*w**3 + 1/3*w**4 - 2/3*w.
(w - 1)*(w + 1)**3/3
Factor 3/7 + 3/7*c**2 + 6/7*c.
3*(c + 1)**2/7
Suppose 2 - 4*u**3 - 4*u**4 + u**2 + 72*u - 67*u + u**2 - u**5 = 0. Calculate u.
-2, -1, 1
Let t(f) be the second derivative of -f**4/4 - 2*f**3 - 6*f**2 - 3*f. Factor t(a).
-3*(a + 2)**2
Suppose -v - 4*v = 0. Let z(x) be the third derivative of 1/210*x**5 + 0*x**4 + v + 0*x**3 + 0*x - 2*x**2. Factor z(d).
2*d**2/7
Let m(b) be the first derivative of b**7/840 + b**6/180 + b**5/120 + 2*b**3 + 1. Let n(r) be the third derivative of m(r). Factor n(k).
k*(k + 1)**2
Let y(d) be the third derivative of d**10/604800 + d**5/60 - 2*d**2. Let g(m) be the third derivative of y(m). Determine b, given that g(b) = 0.
0
Suppose -15 = -d + 6*d. Let p = 0 - d. Suppose 0 - 2/5*k**2 + 2/5*k**p + 0*k = 0. Calculate k.
0, 1
Let z be (7 - 5)*(0 + (3 - 2)). Factor -1/4*i**4 + 1/4*i**z - 1/4*i + 0 + 1/4*i**3.
-i*(i - 1)**2*(i + 1)/4
Let l be ((-6)/(-15))/(3/30). Let k(c) be the second derivative of -1/6*c**3 + 0 - 2*c + 0*c**2 - 1/12*c**l. Factor k(o).
-o*(o + 1)
Suppose -l + 7 = c - 0*c, -2*c + 24 = 4*l. Let 1/6*k**c + 0 - 1/3*k = 0. Calculate k.
0, 2
Let s(y) be the second derivative of y**8/560 + y**7/140 + y**6/120 - y**3/2 + 3*y. Let f(z) be the second derivative of s(z). Solve f(d) = 0 for d.
-1, 0
Suppose b = -3*b - s + 29, -2*b + 3*s + 25 = 0. Let n = b + -8. Let n - 2/9*k**2 + 0*k = 0. Calculate k.
0
Let m(a) be the first derivative of 0*a**2 - 3/22*a**4 - 1 - 2/33*a**3 + 0*a - 6/55*a**5 - 1/33*a**6. Determine q so that m(q) = 0.
-1, 0
Solve -48/5 - 64/5*h - 28/5*h**2 - 4/5*h**3 = 0 for h.
-3, -2
Let c(o) be the third derivative of -o**6/120 + 3*o**5/20 + 11*o**4/24 - 4*o**3/3 + 8*o**2. Let j be c(10). Factor 6/7*k + 4/7 + 2/7*k**j.
2*(k + 1)*(k + 2)/7
Let t(p) be the second derivative of p**4/8 + p**3/6 - p**2/4 - 8*p. Factor t(b).
(b + 1)*(3*b - 1)/2
Let g = 6 - 4. Determine s so that s**2 - 3*s**3 + 2 + 3*s + 2*s**2 - 5*s**g = 0.
-1, -2/3, 1
Let v(f) be the third derivative of -f**6/120 - f**5/60 + f**4/24 + f**3/6 - f**2. Let v(m) = 0. Calculate m.
-1, 1
Let x = -1 - -4. Factor x*y + 9*y**2 + 9*y**3 + 0*y - 3*y**4 + 4*y**4 + 2*y**4.
3*y*(y + 1)**3
Suppose -