 first derivative of -1 + 1/26*d**4 - 4/13*d + 5/13*d**2 - 8/39*d**3. Factor k(f).
2*(f - 2)*(f - 1)**2/13
Let x = -10 + 16. Let d be 2*(-1 + 20/x). Suppose 7/3*o**5 - o + 2/3 + 4*o**4 - d*o**2 - 4/3*o**3 = 0. Calculate o.
-1, 2/7, 1
Let z = 3 + -2. Suppose -2*k + 116 = 4*c, -2*c - 4*k + 47 = z. Factor -94*b + c*b**2 + 22*b + 131*b**2 + 8.
2*(9*b - 2)**2
Let w be (2/(-4))/(5/(-120)). Let m be w/(-18) + (-2)/(-3). Determine n, given that m + 0*n + 2/7*n**2 = 0.
0
Let t(a) = a**3 - a**2 - 2*a + 3. Let q be t(2). Suppose 5*z - q*z = 0. Factor -2/7 + 2/7*f**2 + z*f.
2*(f - 1)*(f + 1)/7
Find a such that 15*a + 17 - 26 - 3*a - 3*a**2 + 0*a**2 = 0.
1, 3
Let m(o) be the first derivative of 0*o + 1/4*o**2 + 1/8*o**4 + 1/3*o**3 - 3. Solve m(x) = 0 for x.
-1, 0
Let f(h) = h**4 - h**3. Let n(x) = 2*x**4 - 6*x**3 + 4*x. Let o(y) = 3*f(y) - n(y). Let o(q) = 0. Calculate q.
-2, 0, 1
Let w(k) be the first derivative of 1/2*k**3 + 0*k**2 + 3 + 0*k - 9/4*k**4 + 27/10*k**5 - k**6. Find u such that w(u) = 0.
0, 1/4, 1
Suppose 14 = 372*l - 365*l. Solve -1/2*g**4 - 4*g**l + 2*g + 0 + 5/2*g**3 = 0 for g.
0, 1, 2
Let y(p) = -p**3 + 6*p**2 + 3*p + 4. Let r = 5 + -9. Let f(q) = 2*q**3 - 13*q**2 - 7*q - 9. Let d(u) = r*f(u) - 9*y(u). Find b, given that d(b) = 0.
0, 1
Factor -34*z**3 - 224*z - 11*z**3 + 5*z**4 + 4*z + 150*z**2 + 120.
5*(z - 3)*(z - 2)**3
Let o(j) = j**3 + 12*j**2 + 9*j - 11. Let i be o(-11). Let k = -9 + i. Factor -1/3*t**3 + 0 + 0*t + 1/3*t**k.
-t**2*(t - 1)/3
Let u be 2/8 - (-9)/18. Factor -1/4*c**2 - 1/2 + u*c.
-(c - 2)*(c - 1)/4
Suppose -4*k = -5*c - 124, k + c - 4*c = 38. Suppose k*b**3 + 8 - 10*b**2 - 12 - 8*b**3 + 14*b**4 - 18*b = 0. What is b?
-1, -2/7, 1
Let j(c) be the third derivative of -c**8/120960 + c**7/10080 - c**6/2160 + 7*c**5/60 + c**2. Let l(k) be the third derivative of j(k). Solve l(h) = 0.
1, 2
Let r(h) = h**2 + 3*h - 2. Suppose 5*p + 0*p = 2*u - 24, 5*p = -2*u - 16. Let f be r(p). Factor 2*t**4 + t**4 + t**2 - f*t**5 + t**5 - 4*t**4 + t**3.
-t**2*(t - 1)*(t + 1)**2
Let f(h) be the third derivative of h**6/420 - h**4/21 + 11*h**2. Find x, given that f(x) = 0.
-2, 0, 2
Let s(o) be the second derivative of o**5/20 - 7*o**4/12 + o**3 + 37*o. Determine m, given that s(m) = 0.
0, 1, 6
Let d be (-16)/20 - (-304)/180. Suppose d*f - 2/9*f**2 - 8/9 = 0. Calculate f.
2
Suppose 3*w + 5*c + 13 = 0, 0*w + 5*w = -4*c - 26. Let x(k) = k**2. Let n(l) = -7*l**2 - 4*l - 4. Let o(i) = w*x(i) - n(i). Determine y, given that o(y) = 0.
-2
Factor -4/11 - 18/11*j - 32/11*j**2 - 12/11*j**4 - 28/11*j**3 - 2/11*j**5.
-2*(j + 1)**4*(j + 2)/11
Let v = -891/5 - -179. Let t(f) be the first derivative of -3/2*f**4 + v*f**5 + 3*f**2 + 3 - 2/3*f**3 - 2*f. Find p, given that t(p) = 0.
-1, 1/2, 1
Suppose 2 = -3*d - b + 3, -3*d - 3 = -3*b. Solve d*s**2 - 2/5*s**3 + 0 + 2/5*s = 0.
-1, 0, 1
Let f(b) be the third derivative of b**5/360 + b**4/72 - 2*b**3/9 + 9*b**2 + 5*b. What is x in f(x) = 0?
-4, 2
Let j be ((-1)/2)/(3/(-3)) + 0. Factor -j*b**2 + 3/4*b**3 + 0 + 0*b.
b**2*(3*b - 2)/4
Factor 4 - 4*w**5 - 4*w**4 - 8*w**4 + 6*w**3 + 12*w + 8*w**2 - 14*w**3.
-4*(w - 1)*(w + 1)**4
Find s, given that -19*s**3 - 10*s**3 - 2*s + 38*s**3 - 7*s**2 = 0.
-2/9, 0, 1
Let h(s) be the first derivative of s**9/504 - s**8/420 - s**7/140 + s**6/90 + 2*s**3 + 7. Let i(y) be the third derivative of h(y). Solve i(r) = 0 for r.
-1, 0, 2/3, 1
Let r(f) be the third derivative of -f**9/10080 - f**8/2016 + f**7/630 + f**6/90 + f**5/20 + 6*f**2. Let v(l) be the third derivative of r(l). Factor v(d).
-2*(d - 1)*(d + 2)*(3*d + 2)
Let z(t) = -t**5 + 2*t**4 - 11*t**3 - 13*t**2 + t. Let x(c) = 0*c**2 - 2*c**2 + c**2 - c**3. Let r(o) = -22*x(o) + 2*z(o). What is u in r(u) = 0?
-1, 0, 1
Factor k**2 + 5*k - 4*k - 2*k - 3 + 3*k.
(k - 1)*(k + 3)
Let q(i) be the second derivative of i - 3*i**3 - 2*i**2 - 2*i**4 + 0 - 2/5*i**5. Factor q(p).
-2*(p + 2)*(2*p + 1)**2
Let l(q) be the first derivative of q**6/27 - 2*q**5/15 + q**4/6 - 2*q**3/27 + 3. Factor l(g).
2*g**2*(g - 1)**3/9
Let g be (4/(-6))/(100/(-5)). Let y(o) be the third derivative of 2*o**2 - g*o**5 + 0*o**3 - 1/84*o**6 + 0 + 0*o - 1/42*o**4. Factor y(l).
-2*l*(l + 1)*(5*l + 2)/7
Factor 2*n - 60*n**2 + 2*n + 66*n**2.
2*n*(3*n + 2)
Let v(h) = -10*h**5 - 30*h**4 - 20*h**3 + 12*h**2 - 12. Let r(q) = -4*q**5 - 12*q**4 - 8*q**3 + 5*q**2 - 5. Let k(w) = -12*r(w) + 5*v(w). Factor k(n).
-2*n**3*(n + 1)*(n + 2)
Let l(x) be the second derivative of x**2 + x - 7/6*x**3 + 1/4*x**4 + 0. Factor l(t).
(t - 2)*(3*t - 1)
Factor 0 - 12/5*o**3 - 12/5*o**2 - 4/5*o**4 - 4/5*o.
-4*o*(o + 1)**3/5
Suppose 3*s - 30 = -2*s. Find x, given that 0*x**3 + x**3 + 0*x**3 - 2 - 6*x**2 + s*x + x**3 = 0.
1
Let t = -26 + 29. Let d(i) be the second derivative of 0 + 0*i**2 + 0*i**t + 1/120*i**6 + 0*i**5 + 0*i**4 - 2*i. Factor d(m).
m**4/4
Let z(o) be the first derivative of -3*o**5/5 - 3*o**4/2 + 3*o**2 + 3*o - 2. Factor z(q).
-3*(q - 1)*(q + 1)**3
Factor 1/2*y**2 + 0 + y - 1/2*y**3.
-y*(y - 2)*(y + 1)/2
Factor 7/8 + 17/4*l - 1/2*l**3 + 23/8*l**2.
-(l - 7)*(l + 1)*(4*l + 1)/8
Factor -3*u - 3/2*u**2 - 3/2.
-3*(u + 1)**2/2
Let n be (-62)/(-4) + (-3)/(-6). Let d be n/(-6)*7/(-42). Find t, given that -2/9*t + 4/9*t**2 + 0 + 2/9*t**5 + 0*t**3 - d*t**4 = 0.
-1, 0, 1
Suppose -5/2*w + 5/2*w**2 - 5 = 0. What is w?
-1, 2
Suppose -28*o = -30*o + 8. Suppose -4*y + o*r = 0, 2*r = y - r + 6. Factor 0*g**2 - 2/5*g + 2/5*g**y + 1/5 - 1/5*g**4.
-(g - 1)**3*(g + 1)/5
Solve o + 1/2 + 1/2*o**2 = 0 for o.
-1
Let u(g) be the second derivative of 3*g**5/170 - g**4/102 - 8*g**3/51 - 4*g**2/17 - g. Factor u(c).
2*(c - 2)*(c + 1)*(3*c + 2)/17
Let j(t) be the second derivative of -t**4/96 - t**3/12 - 3*t**2/16 - 28*t. Factor j(g).
-(g + 1)*(g + 3)/8
Let b(h) = -h. Let p(c) = -c**3 - c**2 - 3*c + 1. Let k(d) = -4*b(d) + p(d). Determine o so that k(o) = 0.
-1, 1
Factor -2*x**2 + 6*x - 8*x + 2*x**3 + 2*x.
2*x**2*(x - 1)
Let g(s) = 2*s**4 + 26*s**2 - s**3 + s - 25*s**2 - s - 1. Let h(b) = -b**5 + b**4 - b**3 + b**2 - 1. Let c(a) = -2*g(a) + 2*h(a). Factor c(m).
-2*m**4*(m + 1)
Let q(z) = -z**3 - z**2 + 1. Let y(v) = -7*v**2 - 13*v - 7. Let i(h) = -5*q(h) - 5*y(h). Factor i(x).
5*(x + 1)**2*(x + 6)
Suppose g + 4 - 3 = 0. Let m(l) = -l. Let v be m(g). Determine p so that p + 3*p - v - 2*p**2 - 1 = 0.
1
Let z(u) be the third derivative of -u**7/6300 - u**6/900 + u**4/45 - 5*u**3/6 - u**2. Let q(t) be the first derivative of z(t). Factor q(a).
-2*(a - 1)*(a + 2)**2/15
Factor 12/7*s**3 - 12/7*s**4 + 0*s + 0*s**2 + 3/7*s**5 + 0.
3*s**3*(s - 2)**2/7
Suppose 1 = -3*d + 13. Determine n, given that -2/7*n**2 + 2/7*n + 0 + 2/7*n**d - 2/7*n**3 = 0.
-1, 0, 1
Let w(r) be the third derivative of r**10/45360 - r**9/7560 + r**8/3360 - r**7/3780 + r**4/24 - r**2. Let h(g) be the second derivative of w(g). Factor h(n).
2*n**2*(n - 1)**3/3
Let t(j) be the second derivative of -3*j**5/20 + j**4/4 + 6*j. Factor t(w).
-3*w**2*(w - 1)
Let t = 0 - 0. Suppose -33*i = -243 + 111. Determine l, given that l**i - 2/3*l - 8/3*l**3 + t + 7/3*l**2 = 0.
0, 2/3, 1
Suppose 0 = 3*k - 1 + 4, -4*k - 2 = s. Suppose -3*q + 2*z + 11 = 4*z, -s*z - 4 = -2*q. Suppose 2/3 - 3*c - 5/3*c**q + 4*c**2 = 0. What is c?
2/5, 1
Let r be (-4)/(-16)*4 + 1/(-3). Find g, given that 1/6 + r*g**4 - 7/6*g - 13/6*g**3 + 5/2*g**2 = 0.
1/4, 1
Let l(n) be the second derivative of n**6/15 - n**4/6 + 4*n. Factor l(k).
2*k**2*(k - 1)*(k + 1)
Suppose 11*w - 2*w = w. Factor 4/7*x - 2/7*x**4 - 4/7*x**3 + 2/7 + w*x**2.
-2*(x - 1)*(x + 1)**3/7
Let s(i) be the first derivative of -1/2*i**4 + 0*i + 0*i**3 - 2/5*i**5 - 2 + 0*i**2. Solve s(h) = 0.
-1, 0
What is z in 12/7 - 10/7*z + 2/7*z**2 = 0?
2, 3
Suppose 0 = -z - v + 5, 2*z - v = 3*v + 10. Let o be 34/4 + (-45)/(-30). Factor g - 4 + o*g**2 + 0*g + z*g.
2*(g + 1)*(5*g - 2)
Let s(b) be the second derivative of -2*b**7/21 + 4*b**6/5 - 12*b**5/5 + 10*b**4/3 - 2*b**3 + 9*b. Factor s(t).
-4*t*(t - 3)*(t - 1)**3
Let r(a) be the third derivative of a**7/105 - a**6/60 - a**5/10 + a**4/12 + 2*a**3/3 + 2*a**2. Factor r(h).
2*(h - 2)*(h - 1)*(h + 1)**2
Suppose -3*a + 5 = -1. Let w be 1/4*2*0. Suppose w + 0*x - 1/3*x**a + 1/3*x**3 = 0. What is x?
0, 1
Let m(r) be the third derivative of -2*r**7/105 + r**6/30 + r**5/5 - r**4/6 - 4*r**3/3 - 7*r**2. 