0*i**2 + 0 - 1/21*i**3 + z*i**7 + 2*i. Factor c(h).
2*h*(h - 1)*(h + 1)**3/7
Let -8/13*m + 2/13 + 8/13*m**2 = 0. Calculate m.
1/2
Let a be 2 + (0 - (0 + -2)). Factor -4*o + o**2 - 7*o**2 - 1 - o**a + 0*o**4 - 4*o**3.
-(o + 1)**4
Let p(b) = b**3 - 8*b**2 - 8*b - 3. Let j be p(9). Factor 6*f + 3*f**3 + 5*f + 6*f - j - 12*f**2 - 2*f.
3*(f - 2)*(f - 1)**2
Let g(i) = -2*i**2 - 18*i. Let j(x) = 5*x**2 + 55*x. Let m(b) = 10*g(b) + 3*j(b). Suppose m(h) = 0. Calculate h.
-3, 0
Let s(u) be the first derivative of 5*u**3/3 - 20*u + 12. What is z in s(z) = 0?
-2, 2
Let i be -1 + 69/45 + 22/33. Find p, given that -4/5 + 2/5*p**2 + 6/5*p**3 - i*p + 2/5*p**4 = 0.
-2, -1, 1
Let x be 65/(-7) + 12/42. Let i = x - -11. Let 0 + 1/4*n + n**4 + 3/2*n**3 + 1/4*n**5 + n**i = 0. Calculate n.
-1, 0
Suppose 5*p = -l + 2*p + 9, -4*l + p = -49. Suppose -g = -4*g + l. Factor -4*f**2 - 2 - 12*f + g*f**2 - 3*f**2 - 10.
-3*(f + 2)**2
Let a = 5/27 + 7/108. Factor 0 - 1/4*s**4 - a*s + 1/4*s**2 + 1/4*s**3.
-s*(s - 1)**2*(s + 1)/4
Let i(o) be the third derivative of -1/6*o**3 + 0 + 0*o - 1/48*o**4 + 1/120*o**5 - 2*o**2. Suppose i(f) = 0. Calculate f.
-1, 2
Let y(b) be the first derivative of -b**5/80 - b**4/32 - b**2 + 4. Let q(t) be the second derivative of y(t). Factor q(n).
-3*n*(n + 1)/4
Let r(z) be the second derivative of 2*z**6/35 - z**5/5 - z**4/21 + 2*z**3/3 - 4*z**2/7 + 9*z + 4. What is k in r(k) = 0?
-1, 1/3, 1, 2
Let c be 15/(-4)*18/135*-5. Solve -2 - c*w**4 - 4*w + 4*w**3 + 9/2*w**2 = 0 for w.
-1, -2/5, 1, 2
Let c = 130 + -648/5. Factor 7/5*m**3 + 0 + 0*m + c*m**2.
m**2*(7*m + 2)/5
Let m(i) be the third derivative of 0*i - i**2 + 0 - 1/40*i**6 - 1/70*i**7 + 1/10*i**5 + 0*i**3 + 0*i**4. Factor m(f).
-3*f**2*(f - 1)*(f + 2)
Let x(u) be the third derivative of u**11/221760 + u**10/50400 + u**9/40320 + u**5/30 - 6*u**2. Let i(f) be the third derivative of x(f). Factor i(w).
3*w**3*(w + 1)**2/2
Let h be (-10)/(-5) + -3 + 5. Find j such that -2/3*j**3 - 6*j + 0 - h*j**2 = 0.
-3, 0
Let a(r) = -23 - r**3 - 6*r**2 - 13*r - 7*r**2 + 15. Let u be a(-12). Factor 4/9*h + 0*h**2 - 4/9*h**3 - 2/9*h**u + 2/9.
-2*(h - 1)*(h + 1)**3/9
Suppose -b + 105*b**2 - 3*b - 101*b**2 = 0. What is b?
0, 1
Let k(r) = -5*r**2 + 2*r. Let u(l) = -4*l**2 + 2*l. Let b(w) = -3*k(w) + 4*u(w). Factor b(s).
-s*(s - 2)
Let z(w) be the third derivative of w**7/315 + w**6/90 + w**5/90 - 2*w**2. Let z(u) = 0. What is u?
-1, 0
Let w(o) be the first derivative of -o**5/70 - o**4/42 + 5*o**3/21 - 3*o**2/7 + o - 1. Let b(x) be the first derivative of w(x). Factor b(n).
-2*(n - 1)**2*(n + 3)/7
Let t(a) be the second derivative of -3*a + 4/3*a**3 - 3/2*a**2 + 1/4*a**4 + 0. Let x(z) = z**2 + 1. Let p(f) = t(f) - 5*x(f). Determine g so that p(g) = 0.
2
Let u(o) = -4*o + 56. Let y be u(14). Suppose -1/2*g**2 + y + 0*g**3 + 1/3*g + 1/6*g**4 = 0. Calculate g.
-2, 0, 1
Let s = -1654/5 - -12067/35. Let g = -67/5 + s. Factor -2/7*f**3 + 0 - 2/7*f - g*f**2.
-2*f*(f + 1)**2/7
Let c(o) = o**3 + 7*o**2 - 19*o + 8. Let k(b) = 8*b**3 + 64*b**2 - 170*b + 72. Let r(q) = 52*c(q) - 6*k(q). Factor r(g).
4*(g - 2)**2*(g - 1)
Let t(q) be the third derivative of -q**8/168 - q**7/105 + q**6/12 + q**5/30 - 2*q**4/3 + 4*q**3/3 + 6*q**2. Factor t(b).
-2*(b - 1)**3*(b + 2)**2
Let n(t) be the third derivative of t**8/3360 + t**4/24 + 2*t**2. Let m(k) be the second derivative of n(k). Factor m(p).
2*p**3
Let v(z) be the third derivative of 1/30*z**6 - 3/35*z**7 + 0*z**4 + 0*z**5 + 0 + 0*z + 0*z**3 - z**2 + 1/24*z**8. Find q, given that v(q) = 0.
0, 2/7, 1
Suppose 4 = -8*g + 10*g. Solve 0 + 24/7*r**4 + 10/7*r**5 + 4/7*r**g + 18/7*r**3 + 0*r = 0 for r.
-1, -2/5, 0
Let t(b) be the second derivative of -5*b**4/12 - 5*b**3/3 - 5*b**2/2 + 4*b. Suppose t(l) = 0. Calculate l.
-1
Let 0*q + 0 + 36/7*q**2 - 8/7*q**4 - 68/7*q**3 = 0. Calculate q.
-9, 0, 1/2
Let q(u) be the third derivative of 0 + 1/240*u**5 - 1/480*u**6 - 1/840*u**7 + u**2 + 0*u + 1/96*u**4 + 0*u**3. Factor q(j).
-j*(j - 1)*(j + 1)**2/4
Let o(d) = 2*d**2. Let l be o(-1). Factor 2*u**2 + l*u + 3*u + 4 + 3*u - 2*u.
2*(u + 1)*(u + 2)
Let t(s) be the third derivative of s**6/540 - s**5/270 - s**4/108 + s**3/27 - 6*s**2. Let t(h) = 0. Calculate h.
-1, 1
Suppose 4*j + 11 - 39 = -4*v, -5*v = j - 15. Suppose -v*b + 3*b - 2 = 0. Factor -u**2 - b*u + u**4 + 4*u - 2 + 2 - 2*u**3.
u*(u - 2)*(u - 1)*(u + 1)
Let f(o) = -o**3 + 1. Suppose 18 = 5*q - 4*i, 2*q + 4*i = 3*q - 10. Let m(u) = 4*u**3 - u - 3. Let n(x) = q*m(x) + 6*f(x). Determine y so that n(y) = 0.
-1, 0, 1
Let p(x) be the second derivative of x**5/30 - x**4/3 + 4*x**3/3 - x**2 - 2*x. Let s(n) be the first derivative of p(n). Factor s(k).
2*(k - 2)**2
Let k = 278041/210 + -1324. Let p(y) be the third derivative of -1/21*y**3 + 0*y + k*y**5 + 2*y**2 + 0*y**4 + 0. Find g, given that p(g) = 0.
-1, 1
Let y be 2/590*20/12. Let l = 235/177 + y. Factor l*n + 2/3 - 16/3*n**2.
-2*(2*n - 1)*(4*n + 1)/3
Suppose -4*m = -m + 30. Let j be (-12)/(-27) - m/45. Determine x, given that 1/6*x**2 + j + 2/3*x = 0.
-2
Let r(g) be the first derivative of g**6/40 + g**5/20 - g**4/8 - g**3/2 + g**2 - 2. Let p(j) be the second derivative of r(j). Suppose p(u) = 0. Calculate u.
-1, 1
Suppose -5*w = -0*w - 10. Factor 6*b**w + 0*b**2 + 0*b**2 - 4*b**2.
2*b**2
Let n(b) be the second derivative of 0*b**3 + 0 + 0*b**2 + 5*b - 1/54*b**4 + 1/90*b**5. Factor n(z).
2*z**2*(z - 1)/9
What is l in -2/7*l**2 - 2/7*l + 0 = 0?
-1, 0
Factor -3/4*u**2 - 9/4 - 3/4*u**3 + 15/4*u.
-3*(u - 1)**2*(u + 3)/4
Let d be 0/1*11/55. Suppose 0 = 5*l - 0 - 10. Factor l*c**2 + d - 1/2*c**3 - 2*c.
-c*(c - 2)**2/2
Factor -4/3*d**2 + 0 - 1/6*d**3 + 3/2*d.
-d*(d - 1)*(d + 9)/6
Let k(s) = 4*s**2 - 1. Let m(c) = c**2. Let z(j) = j**2 - 4*j + 2. Let b be z(3). Let q(d) = b*k(d) + 3*m(d). Solve q(r) = 0.
-1, 1
Suppose 13*o - 12*o = 24. Solve o*b**2 + 0 - 16/5*b + 98/5*b**4 - 252/5*b**3 = 0 for b.
0, 2/7, 2
Suppose 0 = -5*w + 14 + 16. Find a such that -27*a**3 + 0*a**4 + 15*a**2 + 9*a**5 + 12*a**5 - 15*a**4 + w*a = 0.
-1, -2/7, 0, 1
Factor -4*p**4 + 4*p**3 - 9*p**3 + 40*p**2 + 33*p**3 + 8*p**3.
-4*p**2*(p - 10)*(p + 1)
Suppose -2*v = -v + v. Let c(a) be the third derivative of 0*a - 1/48*a**4 + 1/120*a**5 - 2*a**2 + 0*a**3 + v. Let c(b) = 0. What is b?
0, 1
Suppose 0 = -0*k + 5*k - 10. Suppose 2*d = -k*d. Determine x, given that d - 2/5*x - 2/5*x**2 = 0.
-1, 0
Let w(u) be the first derivative of u**5/50 - u**3/15 + 5*u + 2. Let q(a) be the first derivative of w(a). Find f, given that q(f) = 0.
-1, 0, 1
Let z(g) be the first derivative of -g**6/60 - g**5/40 + g**4/24 + g**3/12 + g - 3. Let n(j) be the first derivative of z(j). Solve n(x) = 0 for x.
-1, 0, 1
Determine u so that -27*u + 23*u + 10*u**4 + 6*u**2 + 12*u**2 - 24*u**3 = 0.
0, 2/5, 1
Let p(f) be the second derivative of -f**4/54 - f**3/9 - 2*f**2/9 - 9*f. Factor p(j).
-2*(j + 1)*(j + 2)/9
Let a(b) be the first derivative of -b**6/1800 + b**5/600 - 2*b**3/3 + 2. Let l(j) be the third derivative of a(j). Factor l(f).
-f*(f - 1)/5
Factor -2*o**2 - 45*o**3 - o**2 - 216*o**4 + 159*o**4 - 21*o**5 + 6*o.
-3*o*(o + 1)**3*(7*o - 2)
Suppose -x + 12 = 4*x - 2*w, -3 = -x + w. Let n(r) be the first derivative of -1/2*r**x - 1/3*r**3 - 2 + 0*r. Factor n(q).
-q*(q + 1)
Let b(g) = g**3 - 6*g**2 + 5*g + 2. Let n be b(5). Solve -2/9*i**n + 4/9*i - 2/3*i**3 + 0 = 0 for i.
-1, 0, 2/3
Let a = 7 - 2. Let o(z) = -7*z**2 - 2*z. Suppose 3 - 6 = -c. Let k(d) = 4*d**2 + d. Let n(u) = a*k(u) + c*o(u). Factor n(f).
-f*(f + 1)
Factor 4/15*t**3 + 0 + 2/5*t**4 - 2/15*t**2 + 0*t.
2*t**2*(t + 1)*(3*t - 1)/15
Let i(c) be the second derivative of c**6/420 + c**5/210 + 7*c**2/2 - 3*c. Let r(q) be the first derivative of i(q). Suppose r(s) = 0. Calculate s.
-1, 0
Let j(z) = z**5 + z**4 - z**3 + z - 1. Let l(r) = -40*r**5 - 55*r**4 + 10*r**3 + 10*r**2 - 15*r + 15. Let u(x) = 15*j(x) + l(x). Factor u(n).
-5*n**2*(n + 1)**2*(5*n - 2)
Let z be (-2*(-1)/(-2))/(-3). Let a(y) be the second derivative of 0 + 5/6*y**4 - z*y**3 - 17/15*y**6 + 1/10*y**5 - 4/7*y**7 + 2*y + 0*y**2. Solve a(p) = 0.
-1, 0, 1/4, 1/3
Let z(y) be the first derivative of y**5/10 - y**4/4 - y**3/6 + y**2/2 - 31. Factor z(o).
o*(o - 2)*(o - 1)*(o + 1)/2
Let v(n) be the third derivative of 0 + 1/36*n**4 + 1/18*n**3 + 1/180