e a(z) = 0. Calculate z.
-1, 0, 1
Let n(w) = 4 + 0 + w - 3 + 0*w - w**2. Let g(s) = -10*s**2 + 14*s + 12. Let c(f) = -g(f) + 12*n(f). Factor c(p).
-2*p*(p + 1)
Let m(k) = -k**2 - 5*k + 4. Let x be m(-5). Suppose 0*o**2 - 3*o**x + 0*o**2 = 0. What is o?
0
Suppose 0 = -7*b + 11*b. Suppose b = 3*h - 4*h. Let -2/5*v**3 + 8/5*v**2 + h - 8/5*v = 0. Calculate v.
0, 2
Factor 0*p + 0 - 1/2*p**4 - p**3 - 1/2*p**2.
-p**2*(p + 1)**2/2
Let a(z) be the third derivative of -1/735*z**7 - 1/210*z**6 - 2*z**2 + 0*z**5 + 0 + 1/1176*z**8 + 0*z**4 + 0*z + 0*z**3. Factor a(g).
2*g**3*(g - 2)*(g + 1)/7
Let j(n) = n**3 - 10*n**2 + 10*n - 6. Let h be j(9). Factor 6*w**3 + 6*w**h - 11*w**3.
w**3
Let g(u) be the third derivative of 0*u - 2*u**2 - 1/3*u**4 - 1/105*u**7 - 1/3*u**3 + 0 - 1/5*u**5 - 1/15*u**6. Factor g(t).
-2*(t + 1)**4
Suppose 0 = -4*w - 0*w + 2*p + 26, 3*w + p - 12 = 0. Let j be 646/765 + (-2)/w. Determine a so that 2/9 + 2/3*a + j*a**2 = 0.
-1, -1/2
Suppose 3*f + g - 16 = 13, -21 = -3*f - 3*g. Suppose -2*m + f = 5*t, -19 = -3*t - 2*t + 2*m. Factor 2/7*r - 8/7*r**4 + 0 + 2/7*r**5 + 12/7*r**t - 8/7*r**2.
2*r*(r - 1)**4/7
Let g(i) be the third derivative of i**7/4200 - i**5/600 - i**3/3 - 5*i**2. Let c(h) be the first derivative of g(h). Let c(q) = 0. Calculate q.
-1, 0, 1
Let k(m) = m**2 - m + 4. Let g(r) = 1. Let q(d) = 6*g(d) - k(d). Let v be q(2). Find l, given that 1/4*l**3 - 1/2*l**2 + v*l + 0 = 0.
0, 2
Factor 12/5 - 2/5*x - 2/5*x**2.
-2*(x - 2)*(x + 3)/5
Let n(s) be the first derivative of -3*s**2 - 12/5*s**5 - 5*s**3 + 0*s - 2 + 33/4*s**4. Factor n(m).
-3*m*(m - 2)*(m - 1)*(4*m + 1)
Let p(t) be the third derivative of 3*t**2 + 1/10*t**5 + 0*t + 0 - 1/40*t**6 - t**3 + 1/8*t**4. What is r in p(r) = 0?
-1, 1, 2
Suppose 4*j - 12 = 0, 4*r - 2*j - 38 = 2*r. Let t = 41 - r. Solve -2/3 - 42*q**5 + t*q**4 + 7*q + 85/3*q**3 - 25*q**2 = 0 for q.
-1, 2/7, 1/3, 1/2
Suppose -4*l = v + 1, -5*v + 3*l + 2*l + 20 = 0. Solve v*k**3 - k**2 + 7*k**2 + 0*k**2 + 0*k**3 = 0.
-2, 0
Let s(x) be the second derivative of -1/24*x**4 + 0*x**3 + 0*x**5 + 0 - 2*x + 1/8*x**2 + 1/120*x**6. Find j such that s(j) = 0.
-1, 1
Let n(x) = x**2 + 19*x - 66. Let c be n(-22). Solve 2/3*g**2 + c - 4/3*g = 0.
0, 2
Let c(v) be the third derivative of v**8/2520 - v**7/525 + v**6/450 + 5*v**2. Factor c(w).
2*w**3*(w - 2)*(w - 1)/15
Let g = 193 - 359/2. Factor -40*l - 8 - g*l**4 - 72*l**2 - 54*l**3.
-(l + 2)*(3*l + 2)**3/2
Let p(t) be the first derivative of -1/8*t**4 + 2 + 0*t**2 + 1/20*t**5 + 0*t**3 + 0*t. Find s, given that p(s) = 0.
0, 2
Solve 8/19*c - 8/19*c**2 + 4/19*c**4 + 0 + 2/19*c**5 - 6/19*c**3 = 0 for c.
-2, 0, 1
Suppose 4*y - 2*y - 3*p = 0, 5*y = 4*p. Let q(s) be the third derivative of 0 - 2*s**2 + 0*s**4 - 1/300*s**5 + y*s + 0*s**3. Factor q(d).
-d**2/5
Let m(y) be the second derivative of -y**6/2 - 3*y**5/10 + 15*y**4/4 + 8*y**3 + 6*y**2 - 7*y. Determine f so that m(f) = 0.
-1, -2/5, 2
Let j(o) be the first derivative of -3*o**4/16 + o**3/2 + 9*o**2/8 - 48. Find a such that j(a) = 0.
-1, 0, 3
Let b = 765 - 763. Solve -1/3*z**b + 0 - 1/3*z = 0 for z.
-1, 0
Let m(v) be the first derivative of -2*v**3/3 - v**2 + 4*v + 4. Factor m(g).
-2*(g - 1)*(g + 2)
Let v(c) be the second derivative of -c**6/180 + c**5/120 + 40*c. Factor v(u).
-u**3*(u - 1)/6
Let b(y) = -y - 3. Let i be b(-5). Let r(m) be the first derivative of -i*m + 1/16*m**4 + 3/2*m**2 + 2 - 1/2*m**3. Suppose r(n) = 0. Calculate n.
2
Determine u, given that -2*u - 1/3*u**2 - 5/3 = 0.
-5, -1
Let z = 6 + -4. Suppose 4*l**4 + 5*l**4 - l**5 - l - 5*l**4 - 4*l**3 + 4*l**z - 2*l**3 = 0. What is l?
0, 1
Let i = 5893 - 29289/5. Let q = i - 35. Let -1/5*h + 0*h**4 - q*h**5 + 0 + 2/5*h**3 + 0*h**2 = 0. Calculate h.
-1, 0, 1
Factor -1/7*a**4 + 0*a - 1/7*a**3 + 0 + 2/7*a**2.
-a**2*(a - 1)*(a + 2)/7
Let a be (((-32)/36)/(-4))/((-2)/(-6)). Factor -a*x - 2/3*x**2 - 2/9 - 2/9*x**3.
-2*(x + 1)**3/9
Let -3*c**4 + 0*c**2 - 2 + 6*c**2 - 1 = 0. Calculate c.
-1, 1
Let z(f) be the second derivative of -f**7/2940 + f**5/420 + f**3/3 + 2*f. Let h(w) be the second derivative of z(w). Find b, given that h(b) = 0.
-1, 0, 1
Factor 0*l**5 + 5*l**4 + 5*l**5 - l**4 - 10*l**2 + 6*l**4 - 5*l.
5*l*(l - 1)*(l + 1)**3
Let c(t) be the first derivative of t**6/180 + t**5/20 + t**4/6 + 4*t**3/3 - 2. Let q(h) be the third derivative of c(h). Determine y, given that q(y) = 0.
-2, -1
Let -2/3*f - 1/3*f**3 - 5/3*f**4 + 5/3*f**2 + 0 + f**5 = 0. Calculate f.
-1, 0, 2/3, 1
Factor -4*x**3 + 5*x**3 + 8*x - 5*x**2 - 4 + 0*x.
(x - 2)**2*(x - 1)
Determine a, given that -1/4*a + 0*a**2 - 1/4*a**5 + 0*a**4 + 1/2*a**3 + 0 = 0.
-1, 0, 1
Let f(y) be the third derivative of y**7/175 - 13*y**6/300 + 8*y**5/75 - y**4/15 + 14*y**2. Find h such that f(h) = 0.
0, 1/3, 2
Let b(d) be the third derivative of -d**6/150 - d**5/60 + d**4/60 + d**3/10 - 32*d**2 + 1. Suppose b(j) = 0. Calculate j.
-1, 3/4
Let w = 33 + -31. Determine s, given that 0*s + 0 + 1/5*s**4 + 0*s**3 + 0*s**w = 0.
0
Factor -1/2*y**2 + 0*y + 5/4*y**5 + 0 + 1/4*y**3 + 2*y**4.
y**2*(y + 1)**2*(5*y - 2)/4
Factor 4/3*t**2 + 2*t**3 + 1/3*t + 4/3*t**4 + 0 + 1/3*t**5.
t*(t + 1)**4/3
Let r be (-1)/(0 + (-8)/22). Let p(x) be the first derivative of 3*x**3 - x + 4/5*x**5 - 2 + 1/2*x**2 + r*x**4. Solve p(w) = 0 for w.
-1, 1/4
Let o = -17 - -29. Suppose 0 = 4*v - v + 2*q - 16, -o = -v - 2*q. Determine i so that -2*i**2 + i**4 + 4*i**v - i**2 + 2*i**3 = 0.
-1, 0
Suppose 14 = 4*o + 2*m, -3*m - 21 = -3*o - 8*m. Factor 0 - 3/2*b + 1/2*b**o.
b*(b - 3)/2
Factor 0 - 4/3*s + 2/3*s**4 + 10/3*s**2 - 8/3*s**3.
2*s*(s - 2)*(s - 1)**2/3
Factor g**3 + 1/2*g**2 + 0*g + 0 + 1/2*g**4.
g**2*(g + 1)**2/2
Let v(u) be the third derivative of -5*u**8/56 + u**7/10 + u**6/10 - u**5/20 - 19*u**2. Let v(a) = 0. What is a?
-1/2, 0, 1/5, 1
Suppose 0 = 2*z - 5*z + 12. Let -3 - q**2 + 2*q**3 + 3 - q**z = 0. What is q?
0, 1
Factor 4/9*i**2 - 44/9 + 40/9*i.
4*(i - 1)*(i + 11)/9
Let o(k) be the second derivative of k**6/10 - 3*k**5/10 - 3*k**4/4 - 24*k. Factor o(s).
3*s**2*(s - 3)*(s + 1)
Let m = 6285767/8688 + 1/8688. Let o = m + -699. Factor o*h**2 + 2 - 14*h.
(7*h - 2)**2/2
Let r(u) = 2*u**2 - 8*u + 2. Let b(p) = 6*p**2 - 24*p + 7. Let g(t) = -6*b(t) + 17*r(t). Let g(z) = 0. What is z?
2
Let h(u) = u**2 - 5*u - 5. Let m(j) = j + 1. Suppose -3*a + a + 12 = 0. Suppose -a*b - 10 = -b. Let z(n) = b*h(n) - 18*m(n). Solve z(o) = 0 for o.
-2
Let t(f) be the second derivative of -f**5/20 - f**4/2 - 2*f**3 - f**2/2 - f. Let m(i) be the first derivative of t(i). Let m(o) = 0. What is o?
-2
Let k(y) be the first derivative of 0*y**2 - 1/33*y**4 + 1/55*y**6 - 2 + 0*y**3 + 1/110*y**5 + 2*y. Let h(c) be the first derivative of k(c). Factor h(w).
2*w**2*(w + 1)*(3*w - 2)/11
Factor -z - 9*z**4 + 1 + z**2 + 10*z**4 + 2*z**3 - z**5 - 3*z**2.
-(z - 1)**3*(z + 1)**2
Let t be ((-1)/6)/(4/(-16)). Let m(q) be the first derivative of 0*q - 1 - 1/2*q**4 - 2/5*q**5 + q**2 + t*q**3. Factor m(i).
-2*i*(i - 1)*(i + 1)**2
Let a be 2/6 + 28/60. Let -a + 0*o**2 + 6/5*o - 2/5*o**3 = 0. Calculate o.
-2, 1
Let p be (10*1/(-2))/(-1) + -2. Let h(a) be the second derivative of 0*a**4 + 0 + 0*a**6 + 0*a**2 - 1/70*a**5 + 0*a**p - 2*a + 1/147*a**7. Factor h(g).
2*g**3*(g - 1)*(g + 1)/7
Let b = -176 - -179. Factor 15/2*o**3 - 6*o**2 + 3/2*o - b*o**4 + 0.
-3*o*(o - 1)**2*(2*o - 1)/2
Let h(m) = -6*m**4 + 14*m**3 - 11*m**2 + 8*m - 1. Let z(b) = -7*b**4 + 15*b**3 - 10*b**2 + 9*b - 1. Let u(y) = 3*h(y) - 2*z(y). Factor u(a).
-(a - 1)**2*(2*a - 1)**2
Let q = 16/57 + 289/76. Let t(n) be the first derivative of -q*n**3 - n + 7/2*n**2 - 2. What is i in t(i) = 0?
2/7
Let c be (7/(-35))/((-21)/35). What is o in -c*o**2 - o - 2/3 = 0?
-2, -1
Let y be (-1)/(4 + (-9)/2). Let 0 + 0*o + 2/9*o**y - 2/9*o**3 = 0. What is o?
0, 1
Factor 5/2*a - 5/2*a**3 - 5*a**2 + 5.
-5*(a - 1)*(a + 1)*(a + 2)/2
Let c(g) be the second derivative of g**7/315 + g**6/225 - g**5/75 - g**4/45 + g**3/45 + g**2/15 + 5*g. Factor c(d).
2*(d - 1)**2*(d + 1)**3/15
Let s(z) be the third derivative of -7*z**6/900 - z**5/225 + 7*z**4/180 + 2*z**3/45 - 27*z**2. Let s(x) = 0. What is x?
-1, -2/7, 1
Suppose 7/3*s**3 + 13/3*s + 1/3*s**4 + 5*s**2 + 4/3 = 0. Calculate s.
-4, -1
Solve 0 + 0*q - 1/6*q**4 - 1/2*q**3 - 1/3*q**2 = 0 for q.
-2, -1, 0
Let z(d) be 