 q = -124 - -129. Factor 0 + 2/9*f**4 + 0*f - 2/9*f**2 - 2/9*f**q + 2/9*f**3.
-2*f**2*(f - 1)**2*(f + 1)/9
Let r = 44 + -43. Suppose 0 = -c - r + 3. Factor -2/5*n**3 + 0*n + 2/5*n**c - 2/5*n**4 + 0 + 2/5*n**5.
2*n**2*(n - 1)**2*(n + 1)/5
Let l be (-1)/(1/(-9)*-3). Let r be 5 - 6/(6 + l). Factor 0*i + 1/5*i**r + 0*i**2 + 0 - 1/5*i**4.
-i**3*(i - 1)/5
Suppose 0 = -2*r - 4*b - 4, r - 21 = -2*r + 3*b. Suppose r*q + 4*y - 20 = 0, -5*q - y - 1 = -14. Factor 2/5*j - 1/5 - 1/5*j**q.
-(j - 1)**2/5
Suppose 15*z**3 - z**2 + z**2 - 16*z**3 + 5*z - z**2 - 3 = 0. Calculate z.
-3, 1
Let x(n) be the second derivative of 1/30*n**4 + 0*n**2 - 1/100*n**5 - 3*n + 0*n**3 + 0. Let x(c) = 0. What is c?
0, 2
Let o be (-3 + -3)*1 + 8. Let 0*k**o - 8/7*k + 0 + 2*k**3 + 6/7*k**4 = 0. Calculate k.
-2, -1, 0, 2/3
Suppose 5*m = x - 5, 0 = 5*x - 2*x - 3*m - 3. Factor x*g**4 + 4*g**4 - 2*g**3 - 6*g**4.
-2*g**3*(g + 1)
Suppose 2*j + 6 = 0, 5*x - 21 = -0*x + 2*j. Factor 0 - 1/3*p**x + 0*p - 1/3*p**2.
-p**2*(p + 1)/3
Let r be (-1)/5 + 3/15. Let f(x) be the third derivative of -x**2 + 0*x**3 + 1/108*x**4 + r + 0*x - 1/270*x**5. Determine w so that f(w) = 0.
0, 1
Let i(x) be the third derivative of -x**9/1512 + x**8/420 - x**6/90 + x**5/60 - x**3/3 - 3*x**2. Let s(k) be the first derivative of i(k). Factor s(c).
-2*c*(c - 1)**3*(c + 1)
Let w(a) = 2*a + 6. Let d be w(0). Let z = 4 + -2. Let 4*u**3 + z*u + 10*u**4 + 1 + 0 - 13*u**2 + 1 + u**2 - d*u**5 = 0. Calculate u.
-1, -1/3, 1
Let k(n) be the second derivative of -n**5/50 + n**3/15 - 8*n. Factor k(w).
-2*w*(w - 1)*(w + 1)/5
Let h(x) = 5*x**3 + 21*x**2 - 12*x + 4. Let f(b) = b**3 + 5*b**2 - 3*b + 1. Let a be -1*((-9)/3 - 1). Let c(v) = a*h(v) - 18*f(v). Suppose c(n) = 0. What is n?
1
Let q(r) = 6*r**2 + 2*r + 2. Let f be q(-2). Find t such that 4 - f*t - 4*t**2 + 18*t**2 + 4*t = 0.
2/7, 1
Let n(y) be the first derivative of y**9/3024 - y**7/420 + y**5/120 - 8*y**3/3 + 8. Let r(l) be the third derivative of n(l). Find o, given that r(o) = 0.
-1, 0, 1
Factor 3/8*z + 1/8*z**3 - 1/8 - 3/8*z**2.
(z - 1)**3/8
Suppose -h + 0*h = 0. Let y(p) = -p**2 - p + 4. Let a be y(h). Find x, given that -2*x**4 - x**4 + 0*x**4 + 2*x**2 - x**2 + 2*x - a*x**3 = 0.
-1, 0, 2/3
Let h(w) be the second derivative of -w**6/285 + w**5/190 + w**4/57 + 62*w. Factor h(n).
-2*n**2*(n - 2)*(n + 1)/19
Let u = 178/15 - 56/5. Let 0*q + 0 + u*q**3 - 2/3*q**2 = 0. Calculate q.
0, 1
Let x(s) be the second derivative of s**5/90 - 2*s**4/27 + 5*s**3/27 - 2*s**2/9 - 2*s. Suppose x(p) = 0. What is p?
1, 2
Let u(b) = 8*b**3 + 11*b**2 - 17*b. Let p = 5 - 3. Let a(v) = p*v**3 + 4*v**2 + 3*v**3 - 6*v - 2*v**3. Let z(n) = -17*a(n) + 6*u(n). Let z(o) = 0. Calculate o.
-2/3, 0
Let s be 99/(-11)*10/(-4). Let x = s - 22. Factor x*w + 5/4*w**2 + 0.
w*(5*w + 2)/4
Let u(q) = -6*q**2 + 5*q. Suppose 5*v = 36 - 11. Let w(a) = v - 5 - a + a**2. Let y(o) = u(o) + 5*w(o). Factor y(n).
-n**2
Let 3*p + 5910 - 5920 - 2*p**2 + 3*p**2 = 0. Calculate p.
-5, 2
Let x(g) = g**2 - 6*g - 2. Suppose -4*f + 0*f + 28 = 0. Let l be x(f). Determine w so that w**l + 6*w - 2*w**4 - 12*w + 6*w = 0.
0, 2
Let w = -254 + 10669/42. Let i(k) be the second derivative of w*k**4 - 2/7*k**2 - 1/21*k**3 + 3*k + 0. Find u, given that i(u) = 0.
-1, 2
Let h(t) be the third derivative of t**9/1512 + t**8/420 - t**6/90 - t**5/60 + 2*t**3/3 - 4*t**2. Let l(q) be the first derivative of h(q). Factor l(w).
2*w*(w - 1)*(w + 1)**3
Let t(b) be the third derivative of 0 + 0*b - 1/540*b**6 - 2*b**2 + 1/135*b**5 - 1/108*b**4 + 0*b**3. Factor t(v).
-2*v*(v - 1)**2/9
Solve -4 - 16/3*d + d**2 = 0.
-2/3, 6
Suppose 2*b - 4*b = -r, -3*b + 2*r - 2 = 0. Find i such that 722/9*i**3 + 16/9 + 508/9*i**b + 152/9*i + 448/9*i**4 + 98/9*i**5 = 0.
-2, -1, -2/7
Let z = 1 - 0. Let p(n) = 2*n**3 + n**2 - n. Let y be p(z). Factor c - 3*c**3 + 4*c**3 - y*c.
c*(c - 1)*(c + 1)
Let m be (-3 - -2*1)*-2. Let v = 51 + -49. Solve m*o**v - 8*o + o + 5*o = 0 for o.
0, 1
Let s(q) = -q**2 + 6*q + 1. Let j be s(7). Let f be ((-12)/9)/(3/j). Solve 1/3*h**2 + 4/3 - f*h + h**3 = 0.
-2, 2/3, 1
Let n be (-15)/(-5) - (1 + 2). Let z(k) be the first derivative of k**2 - 2/3*k**3 + n*k - 1. Find f, given that z(f) = 0.
0, 1
Let o = 3/28 - -1/7. Let r = -4/71 + 87/284. Let 0*x + 0 - 3/4*x**4 - r*x**2 - o*x**5 - 3/4*x**3 = 0. Calculate x.
-1, 0
Let v be 12/(-14)*((-12)/16 + -1). Let o(p) be the first derivative of 6*p - p**3 - 3 + v*p**2. Factor o(y).
-3*(y - 2)*(y + 1)
Let q be 1/20 + 1*9/45. Factor 0 - q*m**3 + 1/4*m**2 + 0*m.
-m**2*(m - 1)/4
Solve -8/9*w**3 - 34/9*w**2 - 40/9*w - 8/9 = 0 for w.
-2, -1/4
Let k be (6/(-4))/((-2)/4*4). Let k*w + 0 + 9/4*w**3 - 9/4*w**2 - 3/4*w**4 = 0. What is w?
0, 1
Suppose -5*o - 2*a = -115, 0*o + a = -3*o + 70. Suppose k - o = 5*b, 0*b = -2*b - 10. Factor 4/7*d**2 + 2/7*d**3 + k + 2/7*d.
2*d*(d + 1)**2/7
Let f be -1*24/(-14) + (-4)/(-14). Factor 1/3*j**4 + 0 + 0*j + 4/3*j**3 + 4/3*j**f.
j**2*(j + 2)**2/3
Determine q, given that 2/3*q + 4 - 2/3*q**2 = 0.
-2, 3
What is d in 3/5*d**2 - 3/5*d - 3/5 + 3/5*d**3 = 0?
-1, 1
Let 12/5 + 3/5*k**3 - 21/5*k + 6/5*k**2 = 0. Calculate k.
-4, 1
Let g(z) be the third derivative of -1/20*z**5 - 2*z**2 + 0*z + 1/2*z**3 + 0 - 1/8*z**4 + 1/40*z**6. Factor g(l).
3*(l - 1)**2*(l + 1)
Let b = 24 + -21. Let x = -104/33 + 42/11. Solve -2/3*c**2 - x*c + 2/3*c**b + 2/3 = 0 for c.
-1, 1
Let h(v) be the second derivative of -1/6*v**3 - v + 2*v**2 + 1/60*v**5 - 1/24*v**4 + 0 + 1/120*v**6. Let b(l) be the first derivative of h(l). Factor b(z).
(z - 1)*(z + 1)**2
Suppose -66*f + 42*f + 96 = 0. Suppose -2*v**f - 4/7*v**5 + 0 + 2/7*v**2 + 4/7*v - 12/7*v**3 = 0. Calculate v.
-2, -1, 0, 1/2
Let t(k) be the third derivative of -k**8/8960 - k**7/1120 + k**5/40 - k**4/12 - k**2. Let s(j) be the second derivative of t(j). Factor s(h).
-3*(h - 1)*(h + 2)**2/4
Let i = 54 - 49. Factor 1/2*p**i + 0 - 1/2*p**3 + 0*p - 1/2*p**4 + 1/2*p**2.
p**2*(p - 1)**2*(p + 1)/2
Let t(u) be the third derivative of 1/54*u**4 + 0*u**3 + 0 + 0*u - 2*u**2 + 1/270*u**5. Factor t(a).
2*a*(a + 2)/9
Let p(a) be the second derivative of a**6/120 + a**5/8 + 11*a**4/16 + 5*a**3/3 + 2*a**2 - 18*a. Determine u so that p(u) = 0.
-4, -1
Let f = 440339/188 - 9367/4. Let m = 1/47 + f. Find c, given that m*c**3 - 1/2 + 3/2*c - 3/2*c**2 = 0.
1
Let m(f) be the first derivative of f**4 - 8*f**3/3 + 2*f**2 - 8. Factor m(l).
4*l*(l - 1)**2
Suppose 270 = -7*s + 12*s. Let l be 2/9 - 3/s. Solve l*a**5 + 0*a + 0 - 1/6*a**3 - 1/6*a**2 + 1/6*a**4 = 0 for a.
-1, 0, 1
Let r(f) be the second derivative of 2*f + 0*f**2 + 1/12*f**4 + 0 - 1/18*f**3 - 1/30*f**5. Factor r(m).
-m*(m - 1)*(2*m - 1)/3
Let z(j) = 2*j**2 + 2*j - 2. Let g be z(-2). Let f be 1/g*4 - -2. Factor f*d**3 + 3*d**3 - 2*d**3 + 2*d**2 - 4*d**3 + d.
d*(d + 1)**2
Let r(w) = w**2 - 3*w + 1. Let m be r(2). Let j(d) = -3*d**3 - d - 1. Let g be j(m). Factor -3*o**4 - 5*o**2 + 5*o**4 + g*o**2.
2*o**2*(o - 1)*(o + 1)
Suppose h = -4 + 6. Let q be 4 + (1 + h)/(-3). Factor 1/2*n**4 + 0 - 3/2*n**q + 3/2*n**2 - 1/2*n.
n*(n - 1)**3/2
Let v(w) be the second derivative of w**5/210 - w**4/84 + 4*w**2 + 6*w. Let d(f) be the first derivative of v(f). Let d(c) = 0. What is c?
0, 1
Let g(u) be the first derivative of -u**8/10080 - u**7/1680 - u**6/1080 + 3*u**3 - 6. Let q(t) be the third derivative of g(t). Suppose q(r) = 0. Calculate r.
-2, -1, 0
Let r(s) = s**3 - s**2 - s. Let k be r(0). Let h be (16/(-30))/8*-5. Suppose -h*i**2 + 0 + k*i = 0. Calculate i.
0
Let d(b) = -b - 20. Let m be d(-22). Find f such that -4/5 - 2*f**3 + 2*f - 2/5*f**m + 6/5*f**4 = 0.
-1, 2/3, 1
Let a(f) be the third derivative of 0*f**3 + 6*f**2 - 1/48*f**4 + 0*f + 1/480*f**6 + 0 - 1/240*f**5. Factor a(y).
y*(y - 2)*(y + 1)/4
Factor -5/4*g**3 + 160 - 35/2*g**2 - 40*g.
-5*(g - 2)*(g + 8)**2/4
Let n = 670 - 668. Factor 1/4*f**3 + 1/4 - 1/4*f - 1/4*f**n.
(f - 1)**2*(f + 1)/4
Let n(g) be the first derivative of -g**6/14 - g**5/35 + 9*g**4/28 - g**3/7 - g**2/7 - 2. Solve n(v) = 0.
-2, -1/3, 0, 1
Let d(n) be the second derivative of n**5/4 + 5*n**4/6 - 5*n**3/6 - 5*n**2 - 5*n. Determine a so that d(a) = 0.
-2, -1, 1
Let k = -293 + 2055/7. Solve k + 2/7*i**2 + 6/7*i = 0 for i.
-2, -1
Find o such that 0 + 3*o**2 - 3/4*o**4 + 9/4*o**3 + 0*o = 0.
-1, 0, 4
Let t(k) =