 such that a(z) = 0.
-2, 0
Suppose 2*q + 2 - 10 = 0. Suppose -3*p + q = -2. Factor -r**5 + 8*r**p - r + 2 - 6*r - 2*r**3 + 2*r**5 - 2*r**4.
(r - 1)**4*(r + 2)
Factor -6*l**3 - 4*l + 0*l**3 + 4*l**3 + 12*l.
-2*l*(l - 2)*(l + 2)
Factor 4/7*y**2 + 0 + 0*y - 6/7*y**3 + 2/7*y**5 + 0*y**4.
2*y**2*(y - 1)**2*(y + 2)/7
Determine m, given that -35/4*m - 5/2 + 15/2*m**2 + 35/4*m**3 - 5*m**4 = 0.
-1, -1/4, 1, 2
Let l = -7/2 - -29/6. Solve -4/3 - 8/3*x**3 + 10/3*x + 8/3*x**4 - l*x**2 - 2/3*x**5 = 0.
-1, 1, 2
Let u = 7 - 3. Suppose -5*c = 5*o, -c - 4 = -2*o + c. Determine s so that s**3 + o - 1 - 2*s**u = 0.
0, 1/2
Let l(w) be the third derivative of -w**7/90 - w**6/40 + w**5/15 + w**4/18 - 7*w**2. Determine x, given that l(x) = 0.
-2, -2/7, 0, 1
Let x = 154/3 + -51. Suppose 0 - 1/3*b**2 + x*b = 0. Calculate b.
0, 1
Let b(k) be the third derivative of 0*k**3 + 6*k**2 + 8/105*k**7 + 0 + 1/30*k**5 + 0*k + 1/48*k**8 + 0*k**4 + 11/120*k**6. What is i in b(i) = 0?
-1, -2/7, 0
Let b(l) be the second derivative of -l**6/60 - 7*l**5/40 - 2*l**4/3 - l**3 + 54*l. Solve b(w) = 0 for w.
-3, -2, 0
Solve 0 - 2/5*c**5 + 0*c + 2/5*c**3 + 0*c**4 + 0*c**2 = 0.
-1, 0, 1
Let c be (1 + 1)/((-2)/3). Let n = 5 + c. Determine o, given that n*o + o**5 - 3*o**4 + 3*o**2 - o**3 - o**5 - 3*o**5 + 2*o**5 = 0.
-2, -1, 0, 1
Suppose 57*k = 48*k + 27. Factor -1/2*d + d**2 - d**4 + 0*d**k + 0 + 1/2*d**5.
d*(d - 1)**3*(d + 1)/2
Let y(v) be the second derivative of -3*v**5/20 + v**3/2 - 6*v. Factor y(i).
-3*i*(i - 1)*(i + 1)
Let u(z) be the first derivative of -2/27*z**3 - 4/9*z**2 - 8/9*z + 6. Factor u(r).
-2*(r + 2)**2/9
Suppose 0 = -4*t + 4*l + 12, -2*t + 12 = -t - 4*l. Suppose t*u + u - 2 = 0. Factor -7*s**2 + 9*s + 5*s**2 + 6 + 5*s**u.
3*(s + 1)*(s + 2)
Let g be 4*1 + (-3)/(-3). Factor -4/11*m**2 + 2/11*m + 4/11*m**4 - 2/11*m**g + 0*m**3 + 0.
-2*m*(m - 1)**3*(m + 1)/11
Suppose -4*k + o + 6 = 0, -3*k - 2*k = -5*o. Let y be -2*2/k + 2. Factor 2/9*t**4 - 2/3*t**3 + 8/9*t + 0*t**2 + y.
2*t*(t - 2)**2*(t + 1)/9
Let g(f) = -2*f + 14. Let i be g(6). Let d(h) be the first derivative of 0*h + 1 - 2/9*h**3 - 1/3*h**i. Suppose d(c) = 0. What is c?
-1, 0
Let z(j) be the second derivative of -3*j**5/50 + j**4/6 + 2*j**3/15 + 11*j. Factor z(s).
-2*s*(s - 2)*(3*s + 1)/5
Let l(i) = i**3 - 3*i**2 + 6. Let g be l(3). Let t be (-14)/(-42)*g/7. Factor 4/7*d**2 + 8/7*d**4 - 2*d**3 + 0 + t*d.
2*d*(d - 1)**2*(4*d + 1)/7
Let a(s) = -s**3 + 3*s**2 + 5*s - 4. Let i be a(4). Let t(p) be the first derivative of i*p**2 + 0*p - 2 - 1/16*p**4 + 0*p**3. Solve t(q) = 0.
0
Suppose -3*t = -0*t - 9. Let n be ((-2)/t)/(8/(-18)). Factor -s - 1/4*s**4 - s**3 - n*s**2 - 1/4.
-(s + 1)**4/4
Let g(i) be the second derivative of i**4/48 - i**2/8 + 6*i. Factor g(w).
(w - 1)*(w + 1)/4
Let n(i) = 2*i - 2. Let t = -9 - -7. Let j(h) = h**2 + 3*h - 3. Let w(m) = t*j(m) + 3*n(m). Factor w(r).
-2*r**2
Suppose -8*q = -11 - 5. Determine f so that 1/2*f**5 + 0*f**3 + 0*f + 0*f**q + 1/2*f**4 + 0 = 0.
-1, 0
Suppose 3*z + 3*y = 0, -2*z - 3*z + 20 = -5*y. Factor -d**3 + 2*d**z + 4*d**4 - d**2 + d - 5*d**4.
-d*(d - 1)*(d + 1)**2
Let g(s) be the third derivative of s**6/1440 - s**5/160 + s**4/48 + s**3/2 - 3*s**2. Let f(i) be the first derivative of g(i). Solve f(v) = 0 for v.
1, 2
Let d(n) be the first derivative of -n**4/10 + 2*n**3/15 + 2*n**2/5 - 1. Determine f so that d(f) = 0.
-1, 0, 2
Let o = -1 - -4. Let 3*x**2 - 6*x**o - 22*x + 22*x + 3*x**4 = 0. What is x?
0, 1
Let q = 89/8 + -11. Let c(m) be the first derivative of -q*m**2 + 1/8*m**4 + 1 - 1/24*m**6 + 0*m**3 + 0*m**5 + 0*m. Suppose c(w) = 0. Calculate w.
-1, 0, 1
What is b in 4*b**2 + 2*b**4 + 15*b**3 + 20*b**3 - 29*b**3 = 0?
-2, -1, 0
Let n = -29/18 - -16/9. Let f(z) be the first derivative of -1/4*z**2 + 0*z + n*z**3 - 1. Factor f(a).
a*(a - 1)/2
Let g(a) be the third derivative of a**8/392 + a**7/490 - a**6/280 + 3*a**2. Factor g(l).
3*l**3*(l + 1)*(2*l - 1)/7
Let g(n) be the third derivative of -n**5/12 - 16*n**2. Solve g(a) = 0 for a.
0
Let b be 2 - (0 + -2 + 2). What is d in -d**4 - 3*d + b*d + d**2 + d = 0?
-1, 0, 1
Let d(b) be the first derivative of b**5/3 - 2*b**4/3 + b**3/9 + b**2/3 - 53. Factor d(t).
t*(t - 1)**2*(5*t + 2)/3
Let v(z) be the third derivative of -z**8/16 - 8*z**7/35 - 11*z**6/40 - z**5/10 + 24*z**2. Determine r, given that v(r) = 0.
-1, -2/7, 0
Let v(q) be the first derivative of -q**5/5 + 5*q**4/2 - 8*q**3 - 5*q**2 + 25*q - 32. Find u, given that v(u) = 0.
-1, 1, 5
Let h(l) = 11*l**4 + 14*l**3 + 31*l**2 + 4*l - 6. Let s(i) = -12*i**4 - 13*i**3 - 32*i**2 - 3*i + 7. Let o(d) = 7*h(d) + 6*s(d). Find g such that o(g) = 0.
-2, -1, 0
Let z(j) be the first derivative of 0*j + 0*j**3 + 1/30*j**5 + 1/180*j**6 + 1/18*j**4 - 3/2*j**2 - 1. Let p(r) be the second derivative of z(r). Factor p(m).
2*m*(m + 1)*(m + 2)/3
Let d(t) be the first derivative of t**6/90 + t**5/15 + t**4/6 - 3*t**3 - 7. Let u(m) be the third derivative of d(m). Factor u(l).
4*(l + 1)**2
Let f(z) be the third derivative of -1/6*z**3 - 1/20*z**5 + 1/120*z**6 + 0*z + 3*z**2 + 0 + 1/8*z**4. Factor f(w).
(w - 1)**3
Let t(d) be the third derivative of -d**9/50400 + d**8/12600 - d**7/12600 - d**5/20 - d**2. Let u(i) be the third derivative of t(i). Factor u(v).
-2*v*(v - 1)*(3*v - 1)/5
Let w(k) be the first derivative of k**6/30 - k**5/20 - k**4/12 + k**3/6 - 4*k - 3. Let x(r) be the first derivative of w(r). Factor x(f).
f*(f - 1)**2*(f + 1)
Let s(q) = -2*q**3 + 12*q**2 + 3*q - 3. Let k(f) = -f**3 + f**2 - f + 1. Let i(b) = -3*k(b) - s(b). Let i(z) = 0. What is z?
0, 3
Let w(d) be the third derivative of -d**7/315 - d**6/90 + d**4/18 + d**3/9 - 6*d**2. Factor w(m).
-2*(m - 1)*(m + 1)**3/3
Let v(m) be the first derivative of -m**9/1512 + m**8/840 + m**3 + 1. Let j(s) be the third derivative of v(s). Suppose j(z) = 0. What is z?
0, 1
Let i(y) = -12*y**3 + 18*y**2 - 1. Let c(n) = 6*n**3 - 9*n**2 + 1. Let s = -10 + 5. Let z(m) = s*c(m) - 2*i(m). Factor z(a).
-3*(a - 1)**2*(2*a + 1)
Let v(n) be the first derivative of -1/2*n**3 + 0*n + 6 + 3/8*n**4 + 0*n**2. Solve v(l) = 0.
0, 1
Let o be 55/11 - (0 - (-132)/28). Determine z, given that -2/7*z**4 + o*z**2 + 0 + 6/7*z**3 - 6/7*z = 0.
-1, 0, 1, 3
Let u(h) be the second derivative of h**7/49 + 8*h**6/105 - 5*h**4/21 - h**3/7 + 2*h**2/7 + 13*h. Solve u(p) = 0.
-2, -1, 1/3, 1
Factor 0*w + 0 + 0*w**2 + 1/5*w**4 - 1/5*w**3.
w**3*(w - 1)/5
Let b(y) be the third derivative of 2*y**7/105 + y**6/30 - y**5/5 - 5*y**4/6 - 4*y**3/3 - 24*y**2 - 2*y. Factor b(i).
4*(i - 2)*(i + 1)**3
Let v be (-476)/(-2016) + 1/(-8). Let o(h) be the first derivative of 3 - v*h**3 + 1/3*h**2 + 0*h. Find c such that o(c) = 0.
0, 2
Let c be (-2)/(-2) + (-16)/(-16). Let g(w) be the first derivative of 1 + 1/3*w**3 + 5/4*w**c + w. Factor g(m).
(m + 2)*(2*m + 1)/2
Let m(q) be the first derivative of -q**5/15 + q**4/3 + 4*q**2 + 8. Let p(k) be the second derivative of m(k). Factor p(n).
-4*n*(n - 2)
Let w(q) be the first derivative of -q**5/50 - q**4/20 + 7*q**3/30 + q**2 + 6*q/5 + 10. Factor w(g).
-(g - 3)*(g + 1)*(g + 2)**2/10
Let a be (3 - 3) + -3 + 3. Let g(h) be the second derivative of 1/80*h**5 + 1/16*h**4 + 1/12*h**3 - 3*h + 0*h**2 + a. Factor g(l).
l*(l + 1)*(l + 2)/4
Let f(z) be the first derivative of z**8/8400 - z**7/4200 - z**6/600 + z**5/120 - z**4/60 + 4*z**3/3 - 2. Let g(c) be the third derivative of f(c). Factor g(i).
(i - 1)**3*(i + 2)/5
Let z(b) = 2*b + b**3 + b - 6*b**3 - 4*b**2. Let h(c) = -c**2 + c. Let a(r) = -2*h(r) + 2*z(r). Factor a(w).
-2*w*(w + 1)*(5*w - 2)
Let m = -105 - -159. Let y be 30/m - 2/6. Find p, given that 0*p + 0 - 2/9*p**3 - 2/9*p**2 + y*p**4 + 2/9*p**5 = 0.
-1, 0, 1
Let v(t) be the third derivative of -t**9/40320 - 11*t**8/40320 - t**7/840 - t**6/360 - t**5/20 - 4*t**2. Let d(x) be the third derivative of v(x). Factor d(z).
-(z + 1)*(z + 2)*(3*z + 2)/2
Let r(u) be the third derivative of -u**6/660 + u**5/165 + u**4/33 - 8*u**3/33 - 15*u**2. Solve r(s) = 0 for s.
-2, 2
Suppose 7*y = 2*y - 4*w + 8, -w = -2*y + 11. Suppose y*b = 5*u - 22, -4*u + u - 5*b = 9. Find i, given that -1/4*i + 0 + 1/4*i**u = 0.
0, 1
Suppose 5*n + 0*n - 20 = 0. Suppose 6*l**3 - 2*l - 4*l + 3 - 11*l**2 - l**2 + 9*l**n = 0. Calculate l.
-1, 1/3, 1
Let s(h) = -h - 7. Let i be s(-12). 