is z?
0, 1
Let g(a) = -20*a**2 - 71*a + 91. Let m(h) = 5*h**2 + 18*h - 23. Let z(v) = -2*g(v) - 9*m(v). Factor z(b).
-5*(b - 1)*(b + 5)
Let y(d) be the second derivative of -6*d + 1/120*d**6 + 1/2*d**2 + 1/6*d**3 - 1/16*d**4 + 0 - 1/40*d**5. Factor y(n).
(n - 2)**2*(n + 1)**2/4
Let y(t) = t**2 - t - 4. Let w be (1/(-1))/((-2)/4). Let n(v) = 2*v**w + v - 1 - v**2 + 0*v**2. Let b(j) = -2*n(j) + y(j). Factor b(f).
-(f + 1)*(f + 2)
Let m(p) be the first derivative of -6 - 1/3*p**2 + 2/3*p**3 + 0*p. Factor m(s).
2*s*(3*s - 1)/3
Let u(i) = 12*i - 57. Let c be u(5). Factor 4/3*f**2 + 0 - 1/3*f**c - f.
-f*(f - 3)*(f - 1)/3
Let t(z) be the third derivative of 1/15*z**5 + 0*z**3 + 0 - 1/24*z**4 - 4*z**2 - 1/120*z**7 + 0*z - 1/96*z**6. Factor t(w).
-w*(w - 1)*(w + 2)*(7*w - 2)/4
Let h(v) be the third derivative of v**8/392 + v**7/245 - v**6/140 - v**5/70 + 12*v**2. Factor h(n).
6*n**2*(n - 1)*(n + 1)**2/7
Let n(g) = 2*g**4 + 3*g**3 - g**2 + 3*g - 1. Let s(m) = -8*m + 2 - 2*m**4 - 4*m**4 - 7*m**3 + 2*m**2 - m**3 + 2*m**2. Let u(a) = -8*n(a) - 3*s(a). Factor u(v).
2*(v - 1)**2*(v + 1)**2
Suppose -w = -3*r + 4, 2*w - 2*r + 8 = 4*w. Let o be 10/8 + (w - 3). What is z in z - 1 - 11/4*z**3 + 3/4*z**5 - o*z**4 + 9/4*z**2 = 0?
-2, -2/3, 1
Let a = -7 - -9. Determine j, given that 8/11 + 2/11*j**a - 8/11*j = 0.
2
Let n(f) be the first derivative of -f**6/360 - f**5/60 - f**4/24 - f**3 - 5. Let k(q) be the third derivative of n(q). Factor k(a).
-(a + 1)**2
Factor 18*o**3 + 0*o + 21*o**4 + 11/2*o**5 - 4*o**2 + 0.
o**2*(o + 2)**2*(11*o - 2)/2
Suppose 28 = 5*l - 2*z, -9*l + z = -4*l - 24. Factor 3*a**l + 3*a**5 - 3*a**2 + 2*a**4 - 3*a**3 - 2*a**4.
3*a**2*(a - 1)*(a + 1)**2
Let v = -1/7 + 3/7. Find q such that -2/7*q**2 + 4/7 + v*q = 0.
-1, 2
Let d(o) be the third derivative of o**6/30 - 7*o**5/60 + o**4/12 + o**3/6 - 23*o**2. Let d(u) = 0. What is u?
-1/4, 1
Let v be (-7)/28 + (-34)/(-8). Find b such that -2*b + v*b**4 - 3*b**2 + 2*b**5 - 4*b**2 - b**2 + 4*b**2 = 0.
-1, 0, 1
Let w(y) = -y**2 + 5*y - 2. Suppose i - 5*t - 5 = -4*i, 0 = t - 3. Let b be w(i). Let 0 - 3/2*h**4 + h + 4*h**3 - 7/2*h**b = 0. What is h?
0, 2/3, 1
Let m(g) be the second derivative of 4*g + 0 + 3/20*g**5 - 3/4*g**4 + 6*g**2 + 0*g**3. Factor m(h).
3*(h - 2)**2*(h + 1)
Let t(o) be the first derivative of -o**7/525 + o**5/50 - o**4/30 + o**2/2 + 11. Let s(q) be the second derivative of t(q). Determine f, given that s(f) = 0.
-2, 0, 1
Let m(j) be the first derivative of 28*j**2 + 2 + 35/2*j**4 - 8*j - 118/3*j**3. Solve m(i) = 0.
2/7, 2/5, 1
Let w(v) be the third derivative of -v**6/24 + v**5/4 - 5*v**4/8 + 5*v**3/6 + 21*v**2. Factor w(g).
-5*(g - 1)**3
Let s(y) be the first derivative of -y**6/900 - y**5/75 - y**4/20 - 5*y**3/3 + 6. Let w(c) be the third derivative of s(c). What is v in w(v) = 0?
-3, -1
Factor -4*t + 6*t**2 - 13*t**2 - 14*t**2 + t**2.
-4*t*(5*t + 1)
Suppose 0 = u - 4*a + 7, 3*u + u + a - 23 = 0. Let f = u + -3. Factor -2*b - 2*b - f*b**2 + 0*b.
-2*b*(b + 2)
Suppose 3*s - 7 = 2*n - 3*n, -5*s + 5*n + 5 = 0. Let 0*m + 4*m**2 - 4*m + s*m**2 + m**3 - 3*m**3 = 0. What is m?
0, 1, 2
Let t(y) be the third derivative of -y**8/7560 + y**7/1260 - y**6/810 + y**3 + 4*y**2. Let o(f) be the first derivative of t(f). Find h such that o(h) = 0.
0, 1, 2
Determine z so that 0*z - 3/5*z**2 + 0 + 3*z**3 = 0.
0, 1/5
Suppose 2*n - 3*n + 27 = 4*v, v - 9 = -n. Let m(d) = d**2 + 7*d + 1. Let p(i) = -i**2 - 8*i - 1. Let b(y) = v*m(y) + 5*p(y). Factor b(j).
(j + 1)**2
Let l(i) = i**2 - 4 + 0*i**3 - i**3 + 3*i**4 + 3*i**3 - 3*i - i**3. Let v(t) = 10*t**4 + 2*t**3 + 3*t**2 - 9*t - 13. Let z(n) = -7*l(n) + 2*v(n). Factor z(d).
-(d - 1)*(d + 1)**2*(d + 2)
Let u(q) be the third derivative of q**8/10080 + q**7/420 + q**6/40 + q**5/20 + q**2. Let n(z) be the third derivative of u(z). Let n(y) = 0. What is y?
-3
Let x be (-5)/((-10)/4) + 0. Suppose 6 = d + x*d. Let 3*h + h**2 - 2*h - d*h + 0*h = 0. What is h?
0, 1
Factor -622 - 28*h - 3*h**2 + h + 3*h + 574.
-3*(h + 4)**2
Let c(g) be the second derivative of g**8/504 + g**7/315 - g**6/180 - g**5/90 + 3*g**2/2 + 2*g. Let t(y) be the first derivative of c(y). Factor t(v).
2*v**2*(v - 1)*(v + 1)**2/3
Let b(u) = u**5 - u**4 - u**3 - u**2 + 1. Let p(f) = -4*f**5 + f**3 + 5*f**2 + 3*f - 2. Let z be (-14)/(-6) - 4/(-6). Let k(h) = z*b(h) + p(h). Factor k(y).
-(y - 1)*(y + 1)**4
Let b(x) be the first derivative of x**3 - 9*x**2/2 - 8. Determine c, given that b(c) = 0.
0, 3
Solve 3/5*c + 6/5*c**2 - 9/5*c**3 + 0 = 0.
-1/3, 0, 1
Let p = 1 - 4. Let t be (p/(-4))/((-2)/(-8)). Factor 0 + 8/5*h**4 - 6/5*h**t + 0*h - 2/5*h**2.
2*h**2*(h - 1)*(4*h + 1)/5
Let o(b) be the third derivative of -b**5/60 - b**4/12 - b**3/6 + 6*b**2. Factor o(a).
-(a + 1)**2
Let r(c) be the third derivative of 3*c**6/40 + c**5/5 + c**4/8 + 6*c**2. Determine d, given that r(d) = 0.
-1, -1/3, 0
Let q(n) be the third derivative of 5*n**8/336 - n**7/21 - n**6/8 - 24*n**2. Factor q(y).
5*y**3*(y - 3)*(y + 1)
Let j(f) be the third derivative of f**7/7560 + 7*f**4/24 - 2*f**2. Let z(w) be the second derivative of j(w). Factor z(t).
t**2/3
Let f(m) be the first derivative of m**4/6 - 26*m**3/27 - 11*m**2/9 + 10*m/9 + 12. Factor f(j).
2*(j - 5)*(j + 1)*(3*j - 1)/9
Let c(h) be the first derivative of h + 1/24*h**3 + 1/48*h**4 + 0*h**2 - 2. Let k(u) be the first derivative of c(u). Factor k(f).
f*(f + 1)/4
Let u(r) be the first derivative of r**6/4 + 3*r**5/5 - r**3 - 3*r**2/4 + 9. Determine p, given that u(p) = 0.
-1, 0, 1
Suppose -2*m = 5*t - 24 - 0, 5*m + 2*t - 18 = 0. Let k(i) be the second derivative of 0*i**3 + 1/80*i**5 + 0 + 0*i**2 + m*i + 1/24*i**4. Factor k(d).
d**2*(d + 2)/4
Suppose 1 = -3*j + 7. Suppose -5*v = 3*l - 16, -2 = v + j*l - 1. Factor 4*b**2 - v*b**2 - 2 + 2.
-b**2
Let q = 824 - 2470/3. Let h = 1 + -1. Factor 0 - q*o**2 + h*o.
-2*o**2/3
Let z(a) be the second derivative of -a**6/120 + a**4/12 + 2*a + 24. Factor z(w).
-w**2*(w - 2)*(w + 2)/4
Let n(b) be the first derivative of -3 - 1/5*b**5 - 1/2*b**2 - 3/4*b**4 - b**3 + 0*b. Factor n(q).
-q*(q + 1)**3
What is q in -1/8*q + 0*q**2 + 1/8*q**3 + 0 = 0?
-1, 0, 1
Determine b so that -1/3*b**3 + 1/3*b + 0 - 1/3*b**2 + 1/3*b**4 = 0.
-1, 0, 1
Suppose -4*p + 331 = -g, 0*p - 5*p - 3*g = -401. Let y be (-6)/2 - p/(-10). Solve -18/5*t + 4/5 + 22/5*t**2 + 12/5*t**5 - y*t**4 + 6/5*t**3 = 0 for t.
-1, 1/2, 2/3, 1
Let h be 45/(-6)*16/(-40). Let y(t) be the first derivative of 0*t - 3/4*t**4 + 3/2*t**2 + 0*t**3 + h. Factor y(z).
-3*z*(z - 1)*(z + 1)
Let h(q) be the first derivative of -q**6/60 - q**5/15 - q**4/12 - 3*q**2/2 - 2. Let n(l) be the second derivative of h(l). Factor n(m).
-2*m*(m + 1)**2
Let i = 7 + -2. Let h be i/4*(0 - -2). What is l in 1/2*l**4 - l**2 + 1/2 - h*l**3 + 5/4*l + 5/4*l**5 = 0?
-1, -2/5, 1
Suppose -2/7 - 1/7*x**4 + x + 5/7*x**3 - 9/7*x**2 = 0. What is x?
1, 2
Let t(j) be the second derivative of 1/15*j**7 - 3*j + 0 + 16/75*j**6 + 11/50*j**5 + 1/15*j**4 + 0*j**3 + 0*j**2. Let t(f) = 0. What is f?
-1, -2/7, 0
Let f(v) be the second derivative of v**7/168 + v**6/120 - v**5/20 - v**4/12 + 17*v. Factor f(n).
n**2*(n - 2)*(n + 1)*(n + 2)/4
Let a be (3/(-3 + -9))/((-4)/8). Factor -4*b - 5/2*b**2 - 2 - a*b**3.
-(b + 1)*(b + 2)**2/2
Let 0 - 3/8*c**5 + 0*c**4 + 0*c**2 + 3/4*c**3 - 3/8*c = 0. What is c?
-1, 0, 1
Suppose 4*m - 6 = -2*k, 0*k + 1 = -2*m - 5*k. Let r = 3 + m. Factor -r*l**3 + l**3 + 4*l - 1 - 1 + 2*l**4.
2*(l - 1)**3*(l + 1)
Let w(f) be the second derivative of -f + 0*f**2 + 1/4*f**4 - 3/20*f**5 - 1/10*f**6 + 0 + 1/2*f**3. Factor w(o).
-3*o*(o - 1)*(o + 1)**2
Let z be (-18)/(-4)*(-8)/(-6). Suppose 2*k + 2 = v + 4*v, v = -k + z. Factor 1/3*g**k + 1/3*g + 0 - 1/3*g**2 - 1/3*g**3.
g*(g - 1)**2*(g + 1)/3
Let m(g) be the second derivative of -g**7/630 - g**6/45 - g**5/10 + 3*g**4/4 + g. Let h(b) be the third derivative of m(b). Factor h(i).
-4*(i + 1)*(i + 3)
Suppose 4*d + 0*d - 16 = 0. Let u(w) = w - 1. Let z be u(d). Factor -2/7*h - 2/7*h**2 + 2/7 + 2/7*h**z.
2*(h - 1)**2*(h + 1)/7
Let n(y) be the second derivative of 2*y**6/3 + 7*y**5/5 - y**4 - 14*y**3/3 - 4*y**2 + 13*y. Factor n(q).
4*(q - 1)*(q + 1)**2*(5*q + 2)
Let v(l) = 7*l - 4. Let y be v(-2). Let w be y/(-24) - 2/4. Factor w + 1/4*g**4 - 1/2*g**2 + 1/4*g + 1/4*g**5 - 1/2*g*