*s - 4*a + 25/4*a**2 + 1.
-(a - 2)**2*(a - 1)**3/4
Let n(i) = -2*i**2 + 15*i - 13. Let d(x) = -4*x**2 + 31*x - 25. Let l(m) = 3*d(m) - 7*n(m). Factor l(b).
2*(b - 4)*(b - 2)
Let h(w) be the third derivative of -1/27*w**3 + 0*w**4 - w**2 + 0*w + 1/270*w**5 + 0. Factor h(a).
2*(a - 1)*(a + 1)/9
Suppose -22*l + 16 = -18*l. Let r(g) be the first derivative of -3 + 2/5*g**5 + 1/2*g**l - 2/3*g**3 + 0*g - g**2. Factor r(i).
2*i*(i - 1)*(i + 1)**2
Let k(s) be the third derivative of -s**7/140 + s**6/80 + s**5/40 - s**4/16 + 3*s**2. Factor k(m).
-3*m*(m - 1)**2*(m + 1)/2
Let v(r) be the third derivative of -r**5/330 - r**4/44 - 2*r**3/33 + 31*r**2. Determine z so that v(z) = 0.
-2, -1
Factor 2*d**2 + 13*d**3 - 12*d**3 + d + 0*d.
d*(d + 1)**2
Factor 1/4*v**3 + 1/2*v**2 + 0 + 1/4*v.
v*(v + 1)**2/4
Let b(i) be the first derivative of -2 - 1/3*i**3 + 2*i - 1/2*i**2. Factor b(h).
-(h - 1)*(h + 2)
Let i = 24193/126 + -192. Let c(t) be the second derivative of 0*t**2 + 0*t**4 + 1/90*t**6 + 0*t**5 + 0 - t + 0*t**3 + i*t**7. Suppose c(w) = 0. Calculate w.
-1, 0
Let g(w) be the second derivative of w**4/96 - w**3/48 - w**2/8 + 4*w. Solve g(d) = 0 for d.
-1, 2
Let o = -785 - -5501/7. Factor -3/7*h**2 + 0 - o*h.
-3*h*(h + 2)/7
Let s(o) be the third derivative of o**6/240 + o**5/24 + 7*o**4/48 + o**3/4 + o**2. Find g, given that s(g) = 0.
-3, -1
Let -14/11*s + 14/11*s**3 - 4/11 + 10/11*s**4 - 6/11*s**2 = 0. Calculate s.
-1, -2/5, 1
Find b such that 20*b + 11*b - 26*b + 11*b - 4*b**2 = 0.
0, 4
Let h(g) = g - 11. Let d be h(14). Suppose -4*l = -l. Factor 1/3*w**4 - 1/3*w**2 + 1/3*w**d + 0*w + l - 1/3*w**5.
-w**2*(w - 1)**2*(w + 1)/3
Let r(a) = -2*a**3 + 15*a**2 + 12*a - 5. Let y(f) = -f**3 + 7*f**2 + 6*f - 3. Let q(z) = 3*r(z) - 7*y(z). Let x be q(5). Factor 7*g + 5 - x - 1 + 4*g**2.
(g + 1)*(4*g + 3)
Let h(p) be the second derivative of 0 + 0*p**3 - 3/2*p**2 + 3*p + 1/4*p**4. Factor h(b).
3*(b - 1)*(b + 1)
Let x = 1 + 0. Let m be (6/(-8) - x) + 2. What is f in -1/2*f + m + 1/4*f**2 = 0?
1
Let t(b) = -55*b**2 - 100*b + 155. Let m(w) = 5*w**2 + 9*w - 14. Let c(s) = 45*m(s) + 4*t(s). Factor c(d).
5*(d - 1)*(d + 2)
Suppose -2 = 2*u - 2*o, 2*u - 5*u + 5*o - 11 = 0. Factor 0 - z**3 + 1 + u - 3*z**2 + 0.
-(z - 1)*(z + 2)**2
Let z(k) be the second derivative of -5*k**4/24 + k**3/4 + k**2/2 + 5*k. Factor z(f).
-(f - 1)*(5*f + 2)/2
Let y(z) = -z**3 + z**2 - 2. Let c(b) = -8*b**3 + 6*b**2 + 18*b - 12. Let p(o) = c(o) - 6*y(o). Factor p(s).
-2*s*(s - 3)*(s + 3)
Let j be (-74)/(-24) - 3/9. Let z(p) be the first derivative of j*p**4 - 3*p**3 - 4/5*p**5 + p + 1/2*p**2 + 3. Let z(s) = 0. What is s?
-1/4, 1
Suppose -30 = -10*l + 20. Let t(y) be the second derivative of 3/10*y**l - 3*y**2 - 2*y**4 + 2*y - 1/14*y**7 + 7/2*y**3 + 0 + 1/5*y**6. Factor t(v).
-3*(v - 1)**4*(v + 2)
Suppose 0 = l - 2*l + 6. Suppose 0 = r + m + 2, -4*m = -m + l. What is z in -1/2*z**3 + 0*z**2 + 1/2*z + r = 0?
-1, 0, 1
Let w(n) be the second derivative of -n**4/30 - 4*n**3/15 - 4*n**2/5 + 6*n. Factor w(t).
-2*(t + 2)**2/5
Factor -186 + 300*k - 54*k**2 - 156 - 306 + 24*k + 3*k**3.
3*(k - 6)**3
What is z in -9*z**2 + 3/4*z**3 + 27*z + 0 = 0?
0, 6
Let v(o) = 13*o**4 - 17*o**3 + 2*o**2 + 9*o - 7. Let s(t) = t**4 - t**3 + t - 1. Let d(l) = -14*s(l) + 2*v(l). Factor d(i).
4*i*(i - 1)**2*(3*i + 1)
Let v = -760 - -763. Factor -10/7*r + 4/7 + 6/7*r**2 + 2/7*r**v - 2/7*r**4.
-2*(r - 1)**3*(r + 2)/7
Let i(h) be the second derivative of 5*h**7/42 + h**6/3 - 5*h**4/6 - 5*h**3/6 + 16*h. Factor i(u).
5*u*(u - 1)*(u + 1)**3
Let g be (-2)/8 + (210/(-40) - -6). Factor -g*u**4 + 0*u**2 + 0*u + 0 - 1/2*u**5 + u**3.
-u**3*(u - 1)*(u + 2)/2
Let d(c) = -c**3 - 12*c**2 - 10*c + 11. Let i be d(-11). Let b(g) be the second derivative of 2/9*g**3 + 5*g + i - 1/2*g**2 - 1/36*g**4. Factor b(n).
-(n - 3)*(n - 1)/3
Let j(g) be the first derivative of -2/5*g**5 - 2/3*g - 16/9*g**3 - 6 - 7/6*g**4 - 1/18*g**6 - 3/2*g**2. Suppose j(p) = 0. What is p?
-2, -1
Let x(h) be the third derivative of 0*h + 0 - 1/448*h**8 + h**2 + 0*h**3 + 1/480*h**6 + 0*h**5 + 0*h**4 - 1/420*h**7. Factor x(b).
-b**3*(b + 1)*(3*b - 1)/4
Let v(o) be the third derivative of 0*o - 1/600*o**6 - 1/60*o**4 + 1/100*o**5 + 4*o**2 + 0 + 0*o**3. Factor v(j).
-j*(j - 2)*(j - 1)/5
Suppose 0 = -5*t + u + 2*u - 10, 5*t + u = 10. Suppose -d - t = -3. Solve -8/3*f**4 + 1/3 - 16/3*f**5 + 7/3*f**d - 7/3*f + 23/3*f**3 = 0.
-1, 1/4, 1
Let f(s) be the second derivative of -27*s**4/14 + 24*s**3/7 - 16*s**2/7 + 25*s. Let f(i) = 0. What is i?
4/9
Let f(i) = i**2 + i + 6. Let p(h) = -6*h**2 - 6*h - 30. Let z(s) = -21*f(s) - 4*p(s). Suppose z(t) = 0. What is t?
-2, 1
Let l be 18/(-30) - (-36)/10. Let u = l + 5. Factor 0 + 1/2*p + 3*p**2 - 12*p**4 + 1/2*p**3 + u*p**5.
p*(p - 1)**2*(4*p + 1)**2/2
Let -2/9*m**4 - 4/9*m + 2/9 + 0*m**2 + 4/9*m**3 = 0. What is m?
-1, 1
Let r(t) = 6*t**3 - 2*t. Let l be r(1). Let p(v) be the second derivative of 1/33*v**3 - 1/110*v**5 - 1/66*v**l + 0 - v + 1/11*v**2. Factor p(d).
-2*(d - 1)*(d + 1)**2/11
Let q = 1359/5 + -271. Factor -2/5*x**2 - q*x**3 - 1/5*x**5 - 2/5 + x + 4/5*x**4.
-(x - 2)*(x - 1)**3*(x + 1)/5
Let r(s) be the first derivative of 21*s**5/5 + 39*s**4/2 + 13*s**3 - 9*s**2 + 4. Factor r(k).
3*k*(k + 1)*(k + 3)*(7*k - 2)
Let v(h) be the third derivative of 0 - 1/8*h**4 - 2*h**2 + 1/210*h**7 + 1/40*h**6 - 1/3*h**3 + 0*h + 1/60*h**5. Let v(c) = 0. Calculate c.
-2, -1, 1
Let f(m) be the first derivative of m**9/4536 + m**8/840 + m**7/420 + m**6/540 - 2*m**3/3 + 1. Let j(h) be the third derivative of f(h). Factor j(y).
2*y**2*(y + 1)**3/3
Let b(z) be the second derivative of 0*z**2 + 0*z**3 + 1/70*z**6 + 9/140*z**5 + 1/14*z**4 + 0 + 8*z. Solve b(v) = 0.
-2, -1, 0
Let y(q) = -q. Let u(m) = 11*m**2 - 10*m - 2. Suppose -3*v = -2*x - 3 - 4, 0 = -v + 3. Let c(w) = x*y(w) - u(w). Suppose c(b) = 0. What is b?
-2/11, 1
Let l(o) be the second derivative of -o**6/30 - o**5/10 + o**3/3 + o**2/2 + 4*o. Factor l(n).
-(n - 1)*(n + 1)**3
Let y(k) be the third derivative of -k**6/60 + k**5/30 + k**4/12 - k**3/3 - 8*k**2. Let y(n) = 0. Calculate n.
-1, 1
Find t such that -4/7 - 1/7*t**2 - 5/7*t = 0.
-4, -1
Factor 0 + 9/7*n + 15/7*n**3 - 3/7*n**4 - 3*n**2.
-3*n*(n - 3)*(n - 1)**2/7
Let y(n) be the third derivative of -n**6/40 - n**5/5 - n**4/2 - 9*n**2. Factor y(h).
-3*h*(h + 2)**2
Solve 46/3*k**3 - 32/3*k**2 + 0 + 2*k**5 - 28/3*k**4 + 8/3*k = 0.
0, 2/3, 1, 2
Let h(u) be the third derivative of u**6/80 + 7*u**5/120 + 5*u**4/48 + u**3/12 + 5*u**2. Factor h(w).
(w + 1)**2*(3*w + 1)/2
Let p(h) be the third derivative of h**5/240 - h**3/24 + h**2. Factor p(v).
(v - 1)*(v + 1)/4
Let w(m) = 9*m**2 - 11*m - 1. Let i(q) = -9*q**2 + 11*q + 2. Let o(z) = -3*i(z) - 4*w(z). Factor o(x).
-(x - 1)*(9*x - 2)
Suppose -4*f - f = -2*f. Factor 0*b**3 + 1/2*b**5 + b**2 - b**4 - 1/2*b + f.
b*(b - 1)**3*(b + 1)/2
Let m(j) be the second derivative of j**7/14 + j**6/5 - j**4/2 - j**3/2 + j + 28. Solve m(n) = 0.
-1, 0, 1
Let k(q) = -4*q**2 - 7*q - 3. Let a(c) = -2*c**2 - 3*c - 1. Let m(l) = -7*a(l) + 3*k(l). Factor m(u).
2*(u - 1)*(u + 1)
Let f be 6/(-33) - 108/(-110). Factor 0*a**2 + f*a**3 + 2/5 - 4/5*a - 2/5*a**4.
-2*(a - 1)**3*(a + 1)/5
Let j(w) = -w + 1. Let z(g) = -g**4 - 6*g**3 - 13*g**2 - 11*g - 5. Let l(d) = -3*j(d) - 3*z(d). Solve l(r) = 0.
-2, -1
Let l = 35/66 + -4/11. Let u(x) be the first derivative of 0*x + 2 + l*x**4 + 0*x**2 + 0*x**3 + 2/15*x**5. What is b in u(b) = 0?
-1, 0
Suppose 6 - 1 = 5*t, -5 = -2*b - t. Let g be b/(-6)*3/(-2). Find k such that -g*k + 2*k**4 - 3*k**3 + 0 - 1/2*k**5 + 2*k**2 = 0.
0, 1
Let a(f) = 16*f**4 + 48*f**3 - 30*f**2 - 34*f - 6. Let m(p) = -31*p**4 - 96*p**3 + 61*p**2 + 69*p + 12. Let c(j) = 5*a(j) + 2*m(j). Factor c(l).
2*(l - 1)*(l + 3)*(3*l + 1)**2
Suppose 10*u = 12*u. Factor 2/11*p + u - 2/11*p**2.
-2*p*(p - 1)/11
Let b = 57 + 43. Find u, given that -66*u**3 - u**2 - u**2 + 8*u - 42*u**5 + 2*u**2 - b*u**4 = 0.
-1, -2/3, 0, 2/7
Let o(u) be the first derivative of -u**4 + 2*u**2 + 3. Factor o(w).
-4*w*(w - 1)*(w + 1)
Let m = -70 - -74. Determine z, given that -2/5 + 3/5*z**2 - 1/5*z**m + 1/5*z - 1/5*z**3 = 0.
-2, -1, 1
Let d be (4 + 3*(-4)/3)/(-2). Determine n so that d - 1/5*n**3 + 2/5*n**2 + 0*n = 0.
0, 2
Let u(y) be the first derivative of y**5