4 + d**2/2 + d/2 - 8. Factor f(t).
-(t - 1)*(t + 1)**3/2
Let d be -1 + 1*184/188. Let i = d - -381/235. Solve -2/5*l**2 + 8/5*l - i = 0.
2
Suppose -2*f - 16 = -6*f. Solve 2 + 4*p**3 + 4*p - p**f - 2 - 1 - 6*p**2 = 0 for p.
1
Let n be 3/(-3 - 38/(-12)). Let x be n/15*10/21. Find b, given that 0*b**3 + 0*b - 2/7*b**4 + x*b**2 - 2/7 = 0.
-1, 1
Let d(c) be the first derivative of -1/2*c**2 + 3 - 1/6*c**3 + 0*c. Let d(w) = 0. Calculate w.
-2, 0
Suppose 0 = 3*d - 17 + 11. Let j(r) be the third derivative of 0*r**5 + 1/224*r**8 + 0*r**3 - 1/210*r**7 + 0*r**6 + 0*r + r**d + 0 + 0*r**4. Solve j(b) = 0.
0, 2/3
Let n(z) = 1. Let j(u) be the second derivative of -u**4/6 + 4*u**3/3 - 5*u**2 - 3*u. Let i be (-2)/8 + 7/(-4). Let r(w) = i*n(w) - j(w). Solve r(o) = 0 for o.
2
Let m(n) be the first derivative of -n**5/120 + n**4/16 - n**3/6 + 3*n**2/2 + 4. Let l(y) be the second derivative of m(y). Determine p, given that l(p) = 0.
1, 2
Let x be ((-16)/280)/((-4)/28). Solve 0*h + 8/5*h**5 + 0*h**2 - x*h**3 - 6/5*h**4 + 0 = 0 for h.
-1/4, 0, 1
Let d(m) be the second derivative of -m**6/10 + 3*m**5/10 - m**4/4 + m + 12. Factor d(z).
-3*z**2*(z - 1)**2
Let k = 5 - 3. Let z be k - ((-8)/2 - -3). Suppose -c**z - 12*c**2 - 8*c**3 + 2*c**5 - 5*c**5 + 12*c**4 + 12*c = 0. Calculate c.
-1, 0, 1, 2
Factor 16*i + 9*i - 3*i**3 - 14*i**2 + 11*i**2 - 7*i.
-3*i*(i - 2)*(i + 3)
Let w(k) be the first derivative of -1 + 3/5*k**2 - 4/5*k - 2/15*k**3. Determine z, given that w(z) = 0.
1, 2
Suppose -2*f = 3*m - 6*m - 16, 3*f - m - 38 = 0. Let x be 4/2 - 24/f. Factor 0 + x*b**2 + 2/7*b**3 + 0*b.
2*b**2*(b + 1)/7
Let u = -419/12 + 35. Let y(w) be the third derivative of 1/32*w**4 - u*w**3 - 3*w**2 + 0 + 0*w - 1/240*w**5. Factor y(h).
-(h - 2)*(h - 1)/4
Let v(o) = o - 1. Let n be v(1). Let c = 1481/5 + -293. What is l in -6/5*l**5 - c*l**4 + 0*l - 14/5*l**3 - 4/5*l**2 + n = 0?
-1, -2/3, 0
Factor -3/2*s**2 - 1/2 - 3/2*s - 1/2*s**3.
-(s + 1)**3/2
Let b = 5 + -2. Suppose b + 2*d**3 + 5 - 4 - 2*d - d**2 - 3 = 0. Calculate d.
-1, 1/2, 1
Suppose -13*f + 8*f + 15 = 0. Factor -f*w**2 + 11 - 11 + 6*w.
-3*w*(w - 2)
Let a be ((-2)/4)/((-2)/2). Let d be (-2 + -1)*(-4)/6. Determine i, given that 0 + 1/2*i**d + a*i = 0.
-1, 0
Suppose -53 + 21 = 4*m. Let g be (m/(-5))/(12/30). Factor -336/5*a**3 + 176/5*a**2 + 98/5*a**g + 32/5 + 192/5*a.
2*(a - 2)**2*(7*a + 2)**2/5
Let q be ((-24)/(-18))/(3*2). Let a = 44/3 + -14. Factor q*m**3 - a*m**2 + 4/9*m + 0.
2*m*(m - 2)*(m - 1)/9
Let q(n) = 2*n + 33. Let o be q(-15). Let k(p) be the first derivative of 1/12*p**2 + 3 - 1/24*p**4 + 1/18*p**o - 1/6*p. Factor k(d).
-(d - 1)**2*(d + 1)/6
Let m(c) be the third derivative of -1/54*c**5 - c**2 + 2/27*c**3 - 1/36*c**4 + 0*c + 0. Factor m(n).
-2*(n + 1)*(5*n - 2)/9
Let 3/8*y**3 - 3/2*y**2 + 15/8*y - 3/4 = 0. Calculate y.
1, 2
Let w(f) = 3*f**3 - 2*f**2 + 4*f - 4. Let b = -2 + -3. Let c(s) = -4*s**3 + 3*s**2 - 5*s + 5. Let p(v) = b*w(v) - 4*c(v). Determine i, given that p(i) = 0.
0, 2
Let p(g) be the third derivative of g**8/1680 - g**7/420 + g**6/360 + g**3/2 + 2*g**2. Let h(x) be the first derivative of p(x). Let h(k) = 0. What is k?
0, 1
Let o be 2/16*8/18. Let r(b) be the third derivative of -5/72*b**4 + o*b**3 + 1/315*b**7 - 2*b**2 - 7/360*b**6 + 0*b + 1/20*b**5 + 0. Let r(w) = 0. Calculate w.
1/2, 1
Let i(n) be the third derivative of -n**8/112 - 3*n**7/70 - n**6/20 + n**5/10 + 3*n**4/8 + n**3/2 - 6*n**2. Determine o so that i(o) = 0.
-1, 1
Let x = -1/231 + -449/3003. Let b = x - -88/65. Factor 0 + 0*q - 4/5*q**2 - b*q**3.
-2*q**2*(3*q + 2)/5
Let v(s) = -4*s**5 - 3*s**4 + 27*s**3 + 11*s**2 + 3*s + 6. Let g(t) = -4*t**5 - 2*t**4 + 26*t**3 + 12*t**2 + 3*t + 5. Let y(w) = -6*g(w) + 5*v(w). Factor y(o).
o*(o - 3)*(o + 1)**2*(4*o + 1)
Let m(z) be the second derivative of -z**5/80 + z**4/12 - z**3/6 + 14*z. Determine o, given that m(o) = 0.
0, 2
Let l = -608/7 + 88. Factor l*h + 12/7*h**2 + 2/7*h**4 + 8/7*h**3 + 2/7.
2*(h + 1)**4/7
Let -1/8*s**4 - 1/8 - 1/4*s + 1/2*s**3 - 1/4*s**5 + 1/4*s**2 = 0. What is s?
-1, -1/2, 1
Let l(z) be the third derivative of z**8/20160 - z**7/1260 + z**6/180 + z**5/30 - 5*z**2. Let x(c) be the third derivative of l(c). Let x(k) = 0. What is k?
2
Let i = 117 - 112. Determine y so that -1/3*y**3 - 7/3*y**2 - i*y - 3 = 0.
-3, -1
Let a(l) be the second derivative of l - 1/2*l**2 - 1/12*l**4 - 1/3*l**3 + 0. Suppose a(r) = 0. Calculate r.
-1
Let m be ((-2)/(-3))/(12/90). Let i be 4/2 - (4 - m). Factor 0*h**2 - h**i + 2*h - h - 2*h - 2*h**2.
-h*(h + 1)**2
Let f be (-8)/6 - -1 - 238/(-210). Let d be (-6)/(-20)*64/6. Solve 2*n**5 - f - 2/5*n - 8/5*n**3 + 4*n**2 - d*n**4 = 0.
-1, -2/5, 1
Let u = -1 + 16. Let d = u - 15. What is j in -1/3*j**3 + 1/3*j + d + 0*j**2 = 0?
-1, 0, 1
Let g = 44 + -527/12. Let y(r) be the first derivative of -1 - g*r**3 + 1/4*r + 0*r**2. Let y(q) = 0. Calculate q.
-1, 1
Let p(i) = i**3 - 4*i**2 + 3*i + 3. Let z(m) = -m**2 - 6*m + 4. Let w be z(-6). Let x(a) = -a**3 + 5*a**2 - 4*a - 4. Let g(v) = w*p(v) + 3*x(v). Factor g(c).
c**2*(c - 1)
Let l(m) be the second derivative of -2*m**6/15 - m**5/5 - 9*m. Factor l(p).
-4*p**3*(p + 1)
Let w be (1/(-5))/((-6)/12). Suppose 4*d - 1 - 4 = -j, 5*d - 5*j = -25. Find p, given that 6/5*p**3 + 0*p + w*p**2 + d + 6/5*p**4 + 2/5*p**5 = 0.
-1, 0
Let d(s) be the first derivative of -1/11*s**2 + 2/11*s**3 - 1 + 0*s - 3/22*s**4 + 2/55*s**5. What is w in d(w) = 0?
0, 1
Suppose 0 = -6*n + n + 5. Let o(w) be the first derivative of 0*w - 1/24*w**6 + 0*w**3 + 1/8*w**4 - 1/8*w**2 + 0*w**5 + n. Let o(j) = 0. Calculate j.
-1, 0, 1
Suppose -m = -0 - 2. Suppose -4*f = m*p + 16, -5*p + 3*p + 9 = -f. Factor 0*g**3 - 2*g - 3*g**2 - p*g**3 - g**2.
-2*g*(g + 1)**2
Let j(i) be the second derivative of -i**7/735 + i**5/70 - i**4/42 + 9*i**2/2 - 2*i. Let v(f) be the first derivative of j(f). Factor v(d).
-2*d*(d - 1)**2*(d + 2)/7
Let h = 1 + -1. Let b(p) be the second derivative of h*p**3 + 0 - 1/90*p**6 + 1/36*p**4 + 0*p**5 + 0*p**2 - p. Factor b(a).
-a**2*(a - 1)*(a + 1)/3
Let o be (-8)/(-20) + 26/10. Let -o - 10*t - 8*t - 4*t**2 - 10*t**2 - 1 = 0. Calculate t.
-1, -2/7
Let j be -2 + (-64)/(-15) - (-36)/(-60). Factor -2/3 + 5/3*g - j*g**3 + 2/3*g**2.
-(g - 1)*(g + 1)*(5*g - 2)/3
Suppose -2*n = -3*j - 0*j - 9, j = 5. Solve -3*c - 3*c - n*c**2 - 4*c**4 - 2*c**3 - 10*c**3 + 2*c = 0.
-1, 0
Let v(n) be the third derivative of 0*n + 0*n**3 - 1/120*n**5 + 1/420*n**7 + 1/24*n**4 + 0 - 1/120*n**6 + n**2. Determine j so that v(j) = 0.
-1, 0, 1, 2
Let t be (-410)/2 - (-2 - -4). Let k be -3*1 - t/45. Factor k + 2/5*v**3 + 2*v**2 + 16/5*v.
2*(v + 1)*(v + 2)**2/5
Let l(o) be the third derivative of -o**7/168 + 5*o**6/96 - o**5/12 + 9*o**2 - 1. Suppose l(j) = 0. What is j?
0, 1, 4
Determine u so that 4/7*u + 2/7*u**2 - 4/7*u**3 + 0 - 2/7*u**4 = 0.
-2, -1, 0, 1
Suppose -4*t = k - 5*t - 2, -2*k - t + 1 = 0. Suppose 3*b - 5 = -2*a - k, 2*a = -2. Determine n so that b*n**2 + 0*n**5 - 2*n**4 - n**5 + 0*n**2 + n + 0*n = 0.
-1, 0, 1
Let h(s) = -s**2 + 6*s + 5. Let f be h(5). Determine j so that -75*j**4 + f*j**2 - 13*j - 58*j**2 + j - 135*j**3 - 24*j**2 = 0.
-1, -2/5, 0
Let z(l) be the first derivative of l**3 - 12*l**2 + 48*l - 6. Factor z(y).
3*(y - 4)**2
Let n(b) = 3*b**2 - 15*b + 4. Let l(k) = 14*k**2 - 74*k + 19. Let i(m) = 2*l(m) - 11*n(m). Factor i(y).
-(y - 3)*(5*y - 2)
Let h(r) be the second derivative of r**4/30 - 5*r. Solve h(t) = 0.
0
Let u(k) be the third derivative of -k**5/60 + k**3/6 - 11*k**2. Suppose u(p) = 0. What is p?
-1, 1
Factor -2/13*f**3 + 2/13*f**4 - 4/13*f**2 + 0 + 0*f.
2*f**2*(f - 2)*(f + 1)/13
Suppose 28 + 38 - 96*q - 4*q**4 - 24*q**3 + 72*q**2 - 18 + 7*q**4 = 0. Calculate q.
2
Let i(k) be the third derivative of k**6/40 - k**5/60 - k**4/8 + k**3/6 - 4*k**2. Solve i(j) = 0 for j.
-1, 1/3, 1
Let n(c) be the first derivative of -9*c**6/8 - 27*c**5/20 - 9*c**4/16 - c**3/12 + 5. Solve n(j) = 0 for j.
-1/3, 0
Solve 2/7*q + 2/7*q**5 - 4/7*q**3 - 4/7*q**2 + 2/7 + 2/7*q**4 = 0.
-1, 1
Let r(z) = 128*z**3 - 320*z**2 + 264*z - 63. Let q(s) = -64*s**3 + 160*s**2 - 132*s + 32. Let f(g) = 9*q(g) + 4*r(g). Factor f(l).
-4*(l - 1)*(4*l - 3)**2
Suppose l - 24 = -7*l. Let w(d) be the first derivative of 13/2*d**2 + 23/4*d**4 + 2*d + 2 + 7/5*d**5 + 9*d**l. What is s 