ctor d(c).
-2*(c + 1)*(c + 5)**3
Suppose -4*d = -0*d. Suppose o - 6*o + 15 = d. Factor 0*r**2 + 0*r**4 - 1/2*r + r**o - 1/2*r**5 + 0.
-r*(r - 1)**2*(r + 1)**2/2
Let m(g) be the second derivative of g**5/150 + g**4/90 - 2*g**3/45 - 38*g. Suppose m(q) = 0. Calculate q.
-2, 0, 1
Let u(l) be the second derivative of l**6/15 - l**5/10 - 2*l**4/3 + 4*l**3/3 + 5*l. Determine z so that u(z) = 0.
-2, 0, 1, 2
Let h be (((-2)/(-6))/(-1))/((-4)/36). Solve 5/3*m**2 + 1/3*m**4 - 2/3*m - 4/3*m**h + 0 = 0 for m.
0, 1, 2
Let s = 1847/9 - 205. Find h, given that 0*h + s*h**2 - 2/9 = 0.
-1, 1
Suppose 3*u + i - 8 = -0*i, 5*i = u + 8. Factor 0*j + 5*j**u - 6*j**2 - 2*j**3 + 4*j + 3*j**2.
-2*j*(j - 2)*(j + 1)
Let s = 3403/11 + -309. Factor -s*v - 2/11*v**2 + 0.
-2*v*(v + 2)/11
Let q(o) be the third derivative of -o**8/50400 + o**7/4200 - o**6/900 - o**5/20 + 3*o**2. Let x(p) be the third derivative of q(p). Factor x(u).
-2*(u - 2)*(u - 1)/5
Let q(y) be the second derivative of 4*y + 0 + 1/28*y**4 + 2/7*y**3 + 6/7*y**2. Factor q(f).
3*(f + 2)**2/7
Let l be (-6)/(-6) + (-6)/(-2). Let d(g) be the first derivative of 2/25*g**5 - 1/5*g**2 + 0*g + 1/10*g**l - 2/15*g**3 - 1. Factor d(v).
2*v*(v - 1)*(v + 1)**2/5
Let t be ((-24)/(-81))/4*3. Let d be (-2)/(-7)*35/15. Find h, given that -2/9*h**2 - 2/3*h**4 + 0*h + t*h**5 + d*h**3 + 0 = 0.
0, 1
Let l(k) = 3*k**3 + 9*k**2 + 26*k - 36. Let z(o) = -16*o**3 - 44*o**2 - 131*o + 180. Let x(y) = -11*l(y) - 2*z(y). Factor x(a).
-(a - 1)*(a + 6)**2
Let t(x) be the first derivative of x**4/3 - x**3/9 - 2*x**2/3 + x/3 - 50. Suppose t(u) = 0. Calculate u.
-1, 1/4, 1
Let p(k) = -k**3 + 6*k**2 - 4*k - 3. Let t be p(5). Suppose -i + 8 = 3*i. Suppose h - h**i - 2 + t = 0. What is h?
0, 1
Let b(d) be the second derivative of -d**8/4200 + d**7/1050 - d**5/150 + d**4/60 - d**3/6 + d. Let y(h) be the second derivative of b(h). Factor y(j).
-2*(j - 1)**3*(j + 1)/5
Let 0*p**3 - 4/7*p**4 - 2/7*p + 4/7*p**2 + 0 + 2/7*p**5 = 0. What is p?
-1, 0, 1
Suppose 0*x**2 + 0 + 2/9*x**5 + 0*x**3 + 0*x + 8/9*x**4 = 0. What is x?
-4, 0
Let o(a) = a**2 - a - 2. Let r be o(3). Suppose -7*l**r - 4*l**2 - 3*l + 2*l**2 + 9*l**4 + 4*l - l**5 = 0. What is l?
-1, 0, 1
Suppose 7 = 5*j - 3. Factor z**2 + 3*z**4 - 3*z**4 - 3*z**4 + j*z**4.
-z**2*(z - 1)*(z + 1)
Let p be (-741)/(-117) - (-8)/(-6). What is z in -1/4*z + 1/2*z**3 + 1/4*z**4 - 1/4*z**p + 1/4 - 1/2*z**2 = 0?
-1, 1
Let a be 7/3 + (-1)/3. Suppose -2*n + a + 2 = 0. Factor -2/3*s**n + 4/3*s - 2/3.
-2*(s - 1)**2/3
Suppose 4*w - 16 = 0, -5*y - 2*w + 33 = -5. Let p**2 + 2 - 3*p + 4 + 2*p**2 - y*p**2 = 0. What is p?
-2, 1
Let r(d) = 6*d**2 + 13*d - 7. Let v(m) = 4*m**2 + 9*m - 5. Let o(x) = 5*r(x) - 7*v(x). What is i in o(i) = 0?
-1, 0
Let m be 20/1*(-3)/(-12). Let r(k) = k**3 - 4*k**2 - 6*k + 7. Let x be r(m). Factor 0 + 0*u - 1/3*u**x.
-u**2/3
Let -25*g**2 + 39 + 9*g + 33*g + 28*g**2 = 0. Calculate g.
-13, -1
Let l = 11 + -3. Determine g so that -98*g**5 - l*g**3 - 6 + 6 + 82*g**4 - 26*g**4 = 0.
0, 2/7
Let z(u) = -2*u**2 + 4*u + 3. Let g(r) be the first derivative of r**3/3 - r**2 - r - 3. Suppose 3*o + 6 = 6*o. Let t(f) = o*z(f) + 5*g(f). Factor t(j).
(j - 1)**2
Let v be (-4)/(-2)*4/4. Let i = 5 - v. Factor -2*t**4 - 7*t**3 - i*t**3 + 4*t**3 - 2*t - 6*t**2.
-2*t*(t + 1)**3
Let z(t) be the third derivative of -t**8/70560 + t**6/2520 - t**5/60 - 3*t**2. Let k(u) be the third derivative of z(u). Factor k(v).
-2*(v - 1)*(v + 1)/7
Suppose 0 = 5*q + c + 107 - 42, -5*q - 5*c - 85 = 0. Let n be (-16)/q*(-6)/(-4). Factor 8/9 + 8/9*l + 2/9*l**n.
2*(l + 2)**2/9
Let l = 9 + -5. Suppose -v + 0 = -2*w - 6, -2*w + 24 = l*v. Factor -4*g**2 - 9*g + v*g**4 - 2 + 3*g**3 + 3*g + 2*g**5 + 0*g**3 + g**3.
2*(g - 1)*(g + 1)**4
Factor 5*g**3 - 22*g**2 - 38*g**2 + 245*g - 10*g**2.
5*g*(g - 7)**2
Let y(t) be the second derivative of t**4/3 + 4*t**3 + 10*t**2 + 52*t + 1. Factor y(w).
4*(w + 1)*(w + 5)
Let k(g) be the first derivative of 3 + 1/18*g**6 + 0*g**2 + 0*g + 1/9*g**3 + 1/5*g**5 + 1/4*g**4. Factor k(t).
t**2*(t + 1)**3/3
Factor -2/5 + 6/5*i + 2/5*i**3 - 6/5*i**2.
2*(i - 1)**3/5
Let j = 13/509 + -73844/1527. Let g = j - -49. Suppose g + 0*a - 2/3*a**2 = 0. What is a?
-1, 1
Let p(f) = 11*f**5 - f**4 - f**3 + 2*f**2 - 3*f - 1. Let c(a) = -10*a**5 + a**4 + 2*a**3 - 2*a**2 + 2*a + 1. Let k(s) = -7*c(s) - 6*p(s). Solve k(w) = 0 for w.
-1, 1/4, 1
Let l(d) be the first derivative of -d**4/4 - d**3/3 - 3. Solve l(f) = 0 for f.
-1, 0
Let g(a) be the second derivative of -a**7/84 + 4*a**6/45 + 2*a**5/15 - 11*a**4/36 - 13*a**3/36 + a**2/2 - a + 2. Find i such that g(i) = 0.
-1, 1/3, 1, 6
Let f(y) be the third derivative of -y**8/50400 - y**7/4200 - y**6/900 + y**5/60 - 2*y**2. Let c(a) be the third derivative of f(a). Factor c(w).
-2*(w + 1)*(w + 2)/5
Suppose g + 3 = -0. Let u(x) = -x**2 - 3*x. Let f be u(g). Factor 4/3*j**2 + 0*j + f + 2*j**3.
2*j**2*(3*j + 2)/3
Suppose 23 = r + 4*r - 2*j, 13 = 3*r - 2*j. Factor f + 2*f**4 + 6 - 2 - 4*f - 2*f**3 - 6*f**2 + r*f.
2*(f - 2)*(f - 1)*(f + 1)**2
Let x = -2 + -1. Let d be 1 - (0 - -3)/x. Factor -2*v**2 + 2*v**3 - v - v**3 + v**d + 1.
(v - 1)**2*(v + 1)
Let c(w) be the third derivative of -w**8/3360 - w**7/630 - w**6/360 - w**4/8 - 2*w**2. Let n(m) be the second derivative of c(m). Factor n(s).
-2*s*(s + 1)**2
Let z(m) be the second derivative of m**7/28 + m**6/60 - m**5/20 - 2*m. Determine n so that z(n) = 0.
-1, 0, 2/3
Let t be 2/((-20)/(-1))*4. Suppose -6/5*u**2 - 2/5*u**4 - 6/5*u**3 + 0 - t*u = 0. What is u?
-1, 0
Let i = -5 + 6. Let b be (((-4)/(-9))/i)/1. Find v such that 0 + 2/9*v**3 + 0*v**2 - b*v**4 + 2/9*v**5 + 0*v = 0.
0, 1
Let d(z) be the second derivative of 0 + 29/40*z**5 + 2*z + 3/20*z**6 + 1/2*z**2 + 5/4*z**3 + 11/8*z**4. Solve d(y) = 0.
-1, -2/9
Let h(l) be the first derivative of -2 + 0*l**3 - l**2 - 1/150*l**6 + 1/150*l**5 + 0*l + 1/60*l**4. Let f(k) be the second derivative of h(k). Factor f(r).
-2*r*(r - 1)*(2*r + 1)/5
Let t(g) = 4*g**2 + 11*g + 3. Suppose m - 2*j + 22 = -7*j, j - 4 = -3*m. Let l(f) = 8*f**2 + 21*f + 5. Let x(s) = m*l(s) - 5*t(s). Factor x(u).
4*u*(u + 2)
Suppose 0 = 4*o - 4, -73 = -2*s - 2*o - o. Let t be 27/s - (-2)/(-10). Factor -2/7*x**5 + 0*x**3 + 4/7*x**4 + 2/7*x - t*x**2 + 0.
-2*x*(x - 1)**3*(x + 1)/7
Let c(y) = y**3 + 4*y**2 + y + 3. Let q be c(-4). Let h be (-1)/(-7) + q/(-7). Suppose -2/7 - h*g**2 + 4/7*g = 0. Calculate g.
1
Let j(p) be the first derivative of -1/4*p**4 + 0*p**2 + 0*p**3 + 1/5*p**5 - 1 + 0*p. Let j(h) = 0. What is h?
0, 1
Let x(s) be the third derivative of s**7/70 + s**6/40 - s**5/20 - s**4/8 - 6*s**2. Factor x(v).
3*v*(v - 1)*(v + 1)**2
Let n = 7 - 1. Let u be -1 + (27/n - 2). Suppose -z**2 + u*z - 1/2 = 0. What is z?
1/2, 1
Let n(p) be the first derivative of -16/7*p**2 - 48/5*p**5 - 7/3*p**6 + 64/7*p**3 + 2 - 44/7*p**4 + 0*p. Let n(y) = 0. What is y?
-2, 0, 2/7
Let n(z) = 4*z**5 - 4*z**4 - 2*z**3 + 6*z**2 - 2*z + 2. Let b(j) = -12*j**5 + 12*j**4 + 5*j**3 - 19*j**2 + 7*j - 7. Let v(u) = -2*b(u) - 7*n(u). Factor v(r).
-4*r**2*(r - 1)**2*(r + 1)
Let l(w) be the second derivative of -w**7/840 + w**6/120 + 3*w**5/40 + w**4/12 + 6*w. Let m(o) be the third derivative of l(o). Factor m(q).
-3*(q - 3)*(q + 1)
Let i(n) be the second derivative of 3*n**5/80 - 3*n**4/16 + 3*n**2/2 + 2*n. What is z in i(z) = 0?
-1, 2
Let 119*r**5 + 4*r**4 + 3*r**3 + 2*r**2 - 118*r**5 - 2*r**2 = 0. What is r?
-3, -1, 0
Let t(m) be the third derivative of -m**4/24 + m**3/3 + 2*m**2. Let a be t(-3). Factor 5*j**5 + 2*j**3 - 2*j**2 - 4*j**5 + 2*j**4 - 3*j**a.
-2*j**2*(j - 1)**2*(j + 1)
Let x(p) be the third derivative of p**8/504 + p**7/105 + p**6/90 - p**5/45 - p**4/12 - p**3/9 - 13*p**2. Solve x(v) = 0.
-1, 1
Let r = 44 + -44. Let o(m) be the third derivative of -1/60*m**5 + 1/210*m**7 - 1/24*m**4 + 0 + 0*m + 4*m**2 + 1/120*m**6 + r*m**3. Suppose o(b) = 0. What is b?
-1, 0, 1
Suppose 0 = -2*q + 3*q - 2. Determine j so that -2*j**4 - 3*j + 3*j + 0*j - q*j**3 + 4*j**2 = 0.
-2, 0, 1
Let x(k) be the third derivative of k**8/1680 - k**7/210 + k**6/60 - k**5/30 + k**4/24 - k**3/30 + k**2. What is r in x(r) = 0?
1
Solve -30 - 575*a + 326*a + 334*a - 60*a**2 = 0 for a.
2/3, 3/4
Determine h, given that 0 + 0*h - 1/3*h**2 = 0.
0
Let m(z) be the first derivative of -z**4/2