/5*f**3 + 1/5*f**2 + 0. Factor m(p).
2*(p + 1)**3/5
Suppose -3*a + 25 = 13. Let w(h) be the second derivative of -1/4*h**5 + 1/6*h**7 - 3/4*h**a - 1/3*h**3 + 0*h**2 + 3/10*h**6 + 0 + h. What is j in w(j) = 0?
-1, -2/7, 0, 1
Let l(t) = -3*t - 15. Let d be l(-6). Factor 3*v**d - 5 + 3*v**2 - v - 2*v - 2 + 4.
3*(v - 1)*(v + 1)**2
Let l = 18 + -82/5. Find i such that 0 + 2/5*i + l*i**2 - 8/5*i**4 - 2/5*i**3 = 0.
-1, -1/4, 0, 1
Suppose -a + 3 = 2*j - 8, -3*a + 8 = j. Let 16/5 - 16*y**3 + 24/5*y**2 + 64/5*y + j*y**4 = 0. What is y?
-2/5, 2
Let u = -3 + -1. Let g = -1 - u. Factor 0 + 1/2*a - 7/4*a**g + 5/4*a**2.
-a*(a - 1)*(7*a + 2)/4
Let n(h) = h**3 + 5*h**2 + 8*h + 9. Let s(d) = 1 + 1 - 3. Suppose 0 = 3*z - 15, -3*z - 10 = 2*m - 27. Let g(a) = m*n(a) + 5*s(a). Factor g(y).
(y + 1)*(y + 2)**2
Let y(m) = -48*m**4 - 13*m**3 + 3*m**2 + 3. Let w(s) = 95*s**4 + 25*s**3 - 5*s**2 - 5. Let v(t) = 3*w(t) + 5*y(t). Factor v(a).
5*a**3*(9*a + 2)
Let p(i) be the second derivative of i**6/30 + i**5/10 - 47*i. Factor p(g).
g**3*(g + 2)
Let r be (-78)/(-65) - (-13)/(-15). What is v in -2/3*v - 1/3 - r*v**2 = 0?
-1
Let u(s) be the third derivative of -s**9/6048 - s**8/3360 + 11*s**3/6 + 10*s**2. Let m(v) be the first derivative of u(v). Suppose m(l) = 0. Calculate l.
-1, 0
Let v(t) be the first derivative of 2*t**5/35 - 3*t**4/14 + 2*t**3/7 - t**2/7 - 4. Factor v(a).
2*a*(a - 1)**3/7
Suppose 5*f - 20 = -g - 3*g, 2*g - 10 = 3*f. Determine o, given that 1/3*o**4 + o**2 + 1/3*o + o**3 + f = 0.
-1, 0
Suppose 0*t - 2*t = -10. Suppose -18 = -j - j + 2*p, 4*j = -t*p. Let 94/3*z**2 + 104/3*z**3 + 8*z - 32*z**4 + 2/3 - 128/3*z**j = 0. Calculate z.
-1, -1/4, 1
Factor -10/7*u - 8/7*u**2 - 2/7*u**3 - 4/7.
-2*(u + 1)**2*(u + 2)/7
Suppose 0 = -c + 1 + 1. Factor -4*a + 3*a + 32*a**3 + c*a + 16*a**2 + a.
2*a*(4*a + 1)**2
Let z(a) be the third derivative of 1/126*a**8 + 0 - 2*a**2 + 2/9*a**4 - 1/9*a**3 + 0*a + 7/45*a**6 - 11/45*a**5 - 17/315*a**7. Find s such that z(s) = 0.
1/4, 1
Let m(q) be the first derivative of 3 + 4/9*q**3 - 2/5*q**5 + 1/6*q**4 + 0*q**2 + 0*q. Factor m(n).
-2*n**2*(n - 1)*(3*n + 2)/3
Let x(u) be the third derivative of -u**6/300 + 2*u**5/75 - u**4/20 + 9*u**2. Solve x(g) = 0 for g.
0, 1, 3
Let d = -61 + 63. Suppose -4/7*x - 2/7 - 2/7*x**d = 0. What is x?
-1
Let o be -1 - -2 - (-4)/(-4). Solve 1/2*l**3 + 0 + 0*l**2 + o*l = 0.
0
Let f = -72 + 147/2. Factor -3/2*b + 1/2 + f*b**2 - 1/2*b**3.
-(b - 1)**3/2
Let c(s) be the second derivative of 1/240*s**6 + 0 + 1/12*s**3 - s**2 + 1/16*s**4 - 4*s + 1/40*s**5. Let h(p) be the first derivative of c(p). Solve h(r) = 0.
-1
Let f(w) be the third derivative of -w**6/600 + w**5/300 + w**4/60 + 11*w**2. Factor f(c).
-c*(c - 2)*(c + 1)/5
Let m(z) be the third derivative of -1/12*z**4 + 9*z**2 - 1/24*z**6 + 3/20*z**5 + 0*z**3 + 0 + 1/48*z**8 + 0*z - 3/70*z**7. Factor m(u).
u*(u - 1)**2*(u + 1)*(7*u - 2)
Suppose 47 = 5*v + 5*b - 18, b + 3 = v. Factor -g**2 + v - 7*g + 3*g**2 - g.
2*(g - 2)**2
Let a(q) be the first derivative of -1/2*q**4 + 0*q + q**2 - 2/3*q**3 + 2 + 2/5*q**5. Factor a(n).
2*n*(n - 1)**2*(n + 1)
Suppose 0 = 2*d - 10, 2*q + d - 6 = 13. Factor 2*f**3 + 8*f - 3*f**3 - 2*f**2 - q*f - 2*f.
-f*(f + 1)**2
Let k(s) be the third derivative of s**5/75 + s**4/5 + 6*s**3/5 + 8*s**2. What is z in k(z) = 0?
-3
Let b(s) = -55*s**2 + 160*s - 160. Let c(v) = 8*v**2 - 23*v + 23. Let t(j) = 3*b(j) + 20*c(j). Solve t(r) = 0.
2
Let y be (-36)/(-13) + 2*-1. Suppose 16 = -4*f - 4, -4*f = -2*o + 20. What is l in -14/13*l**5 - 4/13*l - y*l**4 + 18/13*l**3 + 10/13*l**2 + o = 0?
-1, 0, 2/7, 1
Suppose o = -o + 4. Let q be 8/14*(-14)/(-12). Determine k so that q*k**3 + 0 - 4/3*k**o + 2/3*k = 0.
0, 1
Let l = -7 + 9. Let n(p) = -p - 2 - p**l + p + p. Let v(o) = 6*o**2 - 5*o + 11. Let y(f) = 11*n(f) + 2*v(f). Determine c so that y(c) = 0.
-1, 0
Let p(t) = t**2 - 9*t + 20. Let b be p(6). Let i(w) be the first derivative of -b + 0*w**3 + 0*w + 1/16*w**4 + 0*w**2. Suppose i(u) = 0. Calculate u.
0
Let d(x) be the first derivative of 0*x + 0*x**2 + 2 + 1/9*x**3. Let d(w) = 0. What is w?
0
Suppose 2*h - 6*h = -24. Factor h*d + 33*d**2 - 2*d - 27*d**2 - 2*d.
2*d*(3*d + 1)
Let y = -22 + 22. Suppose y = 4*f - 8*f. Suppose 3/4*u**2 - 1/2*u + 17/4*u**3 + f + 3*u**4 = 0. What is u?
-1, -2/3, 0, 1/4
Let j be (-20)/(-14) + (-12)/(-21). Find f such that -3*f - 2*f**j - 7*f**5 + 2*f**4 - 6*f**3 + 7*f + 9*f**5 = 0.
-2, -1, 0, 1
Factor -3/2*o**2 - 15/2*o - 6.
-3*(o + 1)*(o + 4)/2
Let x(n) be the second derivative of -2*n**7/7 + 4*n**6/3 - 12*n**5/5 + 2*n**4 - 2*n**3/3 + 10*n. Determine f so that x(f) = 0.
0, 1/3, 1
Let f = 107 + -107. Let q be 56/90 - 2/5. Factor -2/9*k**2 - 4/9*k + f + q*k**3.
2*k*(k - 2)*(k + 1)/9
Let h be ((-2)/(-27))/(10/30). Suppose 11 + 1 = 4*v. Factor -2/9*c**v + h*c + 0 - 2/9*c**4 + 2/9*c**2.
-2*c*(c - 1)*(c + 1)**2/9
Let g(z) = -2*z**3 - 2*z**2 + 3*z + 2. Let c be g(-2). Let p(o) be the second derivative of -2*o + 0 - 1/24*o**c - 1/4*o**2 + 1/6*o**3. Solve p(b) = 0 for b.
1
Suppose 2*w + 6 = 0, -f + 5*w + 6 = 2*f. Let u = 5 + f. Let 3*z**3 + 5*z**4 - 4*z**4 + u*z**4 = 0. Calculate z.
-1, 0
Suppose -108*b**4 - 108*b**5 + 124*b**2 + 108*b**3 - 16 - 12*b**5 + 12*b**5 = 0. Calculate b.
-1, -2/3, 1/3, 1
Let t(s) be the first derivative of 2*s**3/7 - 11*s**2/7 + 12*s/7 + 26. Factor t(c).
2*(c - 3)*(3*c - 2)/7
Let t(f) be the third derivative of -f**7/1120 + f**6/240 - f**3/6 - f**2. Let b(k) be the first derivative of t(k). Factor b(a).
-3*a**2*(a - 2)/4
Let h(j) = j**2 - j - 1. Let l(v) = v**2 + 2*v - 1. Let z be 8/32 + 6/8. Let a(n) = z*l(n) + 2*h(n). Factor a(t).
3*(t - 1)*(t + 1)
Let t(s) be the third derivative of -s**8/1008 - s**7/630 + s**6/360 + s**5/180 + 27*s**2. Let t(b) = 0. Calculate b.
-1, 0, 1
Factor 4/3*h + 4/3*h**2 + 1/3*h**3 + 0.
h*(h + 2)**2/3
Let y = -1/5 - -3/5. Factor -y + 4/5*c**2 - 2/5*c.
2*(c - 1)*(2*c + 1)/5
Let i = -6513/226 + 36/113. Let w = i - -29. Factor 0 - 1/2*b - b**2 - w*b**3.
-b*(b + 1)**2/2
Let h be -4 + 1 - 6/(-2). Let x(v) be the third derivative of 1/120*v**5 + 2*v**2 + 0*v**4 - 1/240*v**6 + 0*v**3 + h + 0*v. Factor x(o).
-o**2*(o - 1)/2
Suppose 0 = 3*b - 2*m - 22, -4*b + 0*m + 11 = m. Suppose 22 - b = 3*i. Factor -6*k**2 + 2*k - i*k**4 + 9*k**3 - 3*k**3 + 4*k**4.
-2*k*(k - 1)**3
Factor 216 + 2/3*b**2 + 24*b.
2*(b + 18)**2/3
Let -6*x**2 + 4*x + 10*x**2 + 0*x**2 = 0. What is x?
-1, 0
Suppose 8 = -0*f + 2*f. Solve 2*r**f - r + 0*r - r**2 - r**4 + r**3 = 0 for r.
-1, 0, 1
Let k = -98 - -102. Let r(s) be the third derivative of 1/120*s**6 + 0*s**7 - 1/32*s**k + 0 + 1/12*s**3 - 1/1344*s**8 + 0*s - 1/120*s**5 + s**2. Solve r(c) = 0.
-2, -1, 1
Let h be 24/3 - (3 + 0). Let 3*f**4 + 0*f**h + f + f**5 + 6*f**3 - 7*f**4 - 4*f**2 = 0. What is f?
0, 1
Let h(m) = 4*m**5 - 8*m**3 - 4*m**2 + 4*m + 6. Let f(j) = 5*j**5 - 8*j**3 - 4*j**2 + 3*j + 7. Let l(z) = -2*f(z) + 3*h(z). Suppose l(k) = 0. What is k?
-1, 1, 2
Let b(d) be the first derivative of -1/3*d**6 + 3/5*d**5 + 2*d - 5/3*d**3 - 3/2*d**2 + 1 + 5/4*d**4. Determine x so that b(x) = 0.
-1, 1/2, 1, 2
Let k = -34 + 34. Solve -4/5*t**4 - 14/5*t**5 + 0*t + 4/5*t**2 + 14/5*t**3 + k = 0.
-1, -2/7, 0, 1
Suppose -3*z - 8 = l - 3, 3*z - l - 5 = 0. Solve -6/11*x**3 + z*x + 2/11*x**2 + 0 = 0 for x.
0, 1/3
Let l(w) be the first derivative of -49*w**4/9 - 308*w**3/27 - 64*w**2/9 - 16*w/9 - 13. Factor l(f).
-4*(f + 1)*(7*f + 2)**2/9
Suppose 2*h = s - 4, -h + 0*h = -4*s + 9. Let t be (1/(-2))/(h/36). Factor 3 - l + t*l**2 - 11*l - 3*l**4 + 6*l**4 - 12*l**3 + 0*l**2.
3*(l - 1)**4
Let s(r) be the third derivative of -r**5/8 + 17*r**4/16 - 3*r**3/2 + 8*r**2. Factor s(c).
-3*(c - 3)*(5*c - 2)/2
Determine w so that -12/7*w + 12/7 - 3/7*w**4 - 9/7*w**2 + 12/7*w**3 = 0.
-1, 1, 2
Let g = 311 + -3419/11. Find h, given that g + 2/11*h**2 + 4/11*h = 0.
-1
Let z(u) be the third derivative of -u**5/210 + u**4/84 + 2*u**3/21 + 8*u**2. Suppose z(r) = 0. What is r?
-1, 2
Factor 2/9 + 2/9*n**2 + 4/9*n.
2*(n + 1)**2/9
Let q(z) be the second derivative of z**4/24 - 5*z**3/24 - 7*z**2/8 - 2*z - 6. Suppose q(c) = 0. What is c?
-1, 7/2
Factor -25*b**2 - 5*b**3 - 7 + b - 41*b + 0 - 13.
-5*(b + 1)*(b + 2)**2
Let l(x) be the second derivative of 0*x**2 + 1/6*x**4 - x + 0 - 1/3*x**3. Suppose l(v) 