29/20 + -31/5. Let m(l) be the first derivative of -1/6*l**3 + 3/20*l**5 - 2 - 1/8*l**4 + 3/8*l**2 - 1/24*l**6 - h*l. Factor m(c).
-(c - 1)**4*(c + 1)/4
Solve -12/13*b**2 + 24/13*b - 16/13 + 2/13*b**3 = 0.
2
Let m be (9/(-6))/((-1)/2). Factor 1 + m*a**3 + 3*a**2 - 4*a**3 + 2*a**3 + 3*a + 0*a**3.
(a + 1)**3
Let s(l) = -l**3 - l**2 - l + 1. Let k(n) = 8*n**3 + 10*n**2 - 5*n - 7. Let r be ((-1)/(-3))/((-2)/(-6)). Let p(y) = r*k(y) + 3*s(y). Factor p(x).
(x - 1)*(x + 2)*(5*x + 2)
Let i = 91 - 363/4. Let 0 - 1/8*l**2 - i*l + 1/4*l**3 + 1/8*l**4 = 0. Calculate l.
-2, -1, 0, 1
Suppose -2*p + 3 + 7 = 0, -4*p + 11 = -3*g. Determine i, given that -i**3 + 2*i**2 - 6*i**2 + g*i**2 = 0.
-1, 0
Let v(a) = a**2 - a - 1. Suppose x + 20 = 5*y + 6*x, -x + 2 = 0. Let l(c) = -4*c**2 - 4*c - 2. Let f(o) = y*v(o) + l(o). Factor f(i).
-2*(i + 1)*(i + 2)
Let k(z) = -3*z**3 + z. Let y be k(-1). Suppose 0 - y*l**2 - 5 - 3 - 8*l = 0. What is l?
-2
Determine r, given that -3*r**4 - 8*r + 5*r**3 - 9*r**4 + 11*r**2 + r**2 + 3*r**3 = 0.
-1, 0, 2/3, 1
Let -207*z**2 - 86*z - 12 + 135*z**5 + 219*z**4 + 3*z**3 - 7*z**3 - 35*z**3 - 10*z = 0. Calculate z.
-1, -2/5, -2/9, 1
Let h = -69 + 69. Let t(s) = -s**2 - 3*s - 2. Let z be t(-2). Factor h*j**2 + 0 + 1/4*j**3 + z*j - 1/4*j**4.
-j**3*(j - 1)/4
Let s = 20 - 29. Let c = -6 - s. Solve 3 + d**5 - c = 0 for d.
0
Let d(c) be the second derivative of -7*c**6/30 - 23*c**5/20 - c**4/2 + 14*c**3/3 + 4*c**2 + 34*c. Determine z so that d(z) = 0.
-2, -2/7, 1
Let w be (-2)/((-2)/1)*3. Let m(p) be the first derivative of -1 + 1/4*p + 0*p**2 - 1/12*p**w. Factor m(h).
-(h - 1)*(h + 1)/4
Let v = -300 + 300. Factor -8/7*b - 20/7*b**2 + v.
-4*b*(5*b + 2)/7
Let s(a) be the second derivative of 1/14*a**7 - 1/5*a**6 + 0*a**5 + 0 + 0*a**2 + 1/2*a**4 + 3*a - 1/2*a**3. Find m such that s(m) = 0.
-1, 0, 1
Let b = -96 - -98. What is l in 0 - 8/3*l + 8/3*l**b - 2/3*l**3 = 0?
0, 2
Let i(n) = -n**5 + n**4 + n**2 + 1. Let r(a) = 8*a**5 + 20*a**4 - 64*a**3 - 60*a**2 + 64*a + 4. Let o(p) = -4*i(p) + r(p). Determine f so that o(f) = 0.
-2, 0, 2/3, 2
Let o = -27 + 30. Let m(p) be the first derivative of -p**2 + p + 1/3*p**o + 1. Factor m(d).
(d - 1)**2
Let a(j) be the second derivative of 0*j**3 - 3*j - 1/3*j**4 + 0*j**2 + 0. Factor a(b).
-4*b**2
Let h(z) = -z - 5. Let c be h(-7). Let q be (c/(-9))/(2/(-2)). Suppose 0 - 2/9*l**2 + 0*l - 2/9*l**3 + 2/9*l**5 + q*l**4 = 0. Calculate l.
-1, 0, 1
Suppose 16/7*w - 8/7 + 2/7*w**3 - 10/7*w**2 = 0. What is w?
1, 2
Let v(h) = h**3 + h**2 - 1. Let y(k) = 13*k**3 + 10*k**2 - 6. Let s(j) = -6*v(j) + y(j). Let u(x) = 15*x**3 + 9*x**2. Let q(c) = -13*s(c) + 6*u(c). Factor q(n).
-n**2*(n - 2)
Let u(i) be the second derivative of i**6/165 + i**5/55 - i**4/66 - 2*i**3/33 - 2*i. Factor u(s).
2*s*(s - 1)*(s + 1)*(s + 2)/11
Let f(i) be the first derivative of 2*i**5/25 - i**4/5 - 2*i**3/5 + 8*i**2/5 - 8*i/5 + 23. Factor f(u).
2*(u - 2)*(u - 1)**2*(u + 2)/5
Let d(a) be the first derivative of -2*a**3/21 - a**2/7 - 6. Factor d(c).
-2*c*(c + 1)/7
Let g(s) be the first derivative of 2*s**5/5 - s**4/2 + 19. Solve g(f) = 0.
0, 1
Let f(k) be the first derivative of k**4/8 - 5*k**3/12 + k**2/2 - k/4 + 14. Factor f(d).
(d - 1)**2*(2*d - 1)/4
Let s(y) be the first derivative of y**4/36 - y**3/9 + y**2/6 - y/9 + 1. Factor s(t).
(t - 1)**3/9
Let b(y) = y - 3. Let p be b(7). Determine v so that 3*v - 14*v**5 + v + v**2 - 30*v**3 - 4*v**p + 42*v**4 + v**2 = 0.
-2/7, 0, 1
Let y(t) be the third derivative of 1/36*t**4 + 0*t + 0*t**3 + 1/315*t**7 - 1/90*t**5 + 0 + 3*t**2 - 1/180*t**6. Determine r, given that y(r) = 0.
-1, 0, 1
Let p be 8/36 + (-364)/18. Let n be (-2)/(-11) + p/(-11). Find h, given that -4 + 0*h + n*h**2 - h + 3*h = 0.
-2, 1
Suppose 3*a - 6 = a. Factor 5*n**2 + 38*n - a*n**2 - 36*n.
2*n*(n + 1)
Let p(x) be the first derivative of -2*x**3 + 0*x - 3 + 2*x**2 + 1/2*x**4. Suppose p(s) = 0. Calculate s.
0, 1, 2
What is x in 2/15*x**3 - 2/15*x**2 - 2/5 - 2/3*x = 0?
-1, 3
What is b in 0 + 2/5*b**4 + 12/5*b**3 - 4/5*b**5 - 14/5*b**2 + 4/5*b = 0?
-2, 0, 1/2, 1
Let f(j) = -3 - 5*j**2 + 4*j**2 - j + 2. Let p(c) = -1 + 4*c**2 + c - 3 + c**2 + 3. Let k(w) = 3*f(w) + p(w). What is m in k(m) = 0?
-1, 2
Let m(u) = u**2 - 6*u - 5. Let j be m(6). Let l(y) = 6*y**2 - y - 4. Let p(w) = 12*w**2 - 3*w - 9. Let a(c) = j*l(c) + 2*p(c). Factor a(v).
-(2*v - 1)*(3*v + 2)
Let d(h) be the first derivative of -h**3 - 3*h**2 - 3*h - 13. What is a in d(a) = 0?
-1
Suppose 0 = -4*i + i. Let i*x - 6*x**4 + 0*x**2 + 2*x - 10*x**3 - 2*x**2 = 0. What is x?
-1, 0, 1/3
Let t(v) be the third derivative of 0 + 1/6*v**4 - 1/3*v**3 + 2*v**2 + 0*v - 1/30*v**5. Factor t(x).
-2*(x - 1)**2
Let j be (-2)/(-3)*(-10)/(-20). Let l(v) be the second derivative of 0 + 2*v - j*v**3 + 2*v**2 - 1/6*v**4. Factor l(d).
-2*(d - 1)*(d + 2)
Let o(m) be the first derivative of -5*m**3/3 + 5*m**2 + 40*m + 45. Solve o(i) = 0.
-2, 4
Let f(k) be the second derivative of -k**7/980 + k**6/630 + k**5/60 + k**4/42 - k**3/3 - 2*k. Let h(o) be the second derivative of f(o). Factor h(w).
-2*(w - 2)*(w + 1)*(3*w + 1)/7
Let p(c) be the second derivative of c**5/5 + 2*c**4/3 + 2*c**3/3 + 24*c. Solve p(n) = 0 for n.
-1, 0
Suppose -n + 4*n + n + 0*n - 6 + 2*n**2 = 0. Calculate n.
-3, 1
Let p(k) be the first derivative of 3*k**5/25 - 3*k**4/5 + 6*k**3/5 - 6*k**2/5 + 3*k/5 - 20. Factor p(a).
3*(a - 1)**4/5
Let m(w) be the first derivative of 3*w**4/28 - 4*w**3/7 + 15*w**2/14 - 6*w/7 + 4. Factor m(f).
3*(f - 2)*(f - 1)**2/7
Let h be 24/14*196/8. Let f be 44/h - 28/(-98). Factor 2/3 + 2/3*o - f*o**2.
-2*(o - 1)*(2*o + 1)/3
Let q(i) = i**3 + 5*i**2 + i + 5. Let v be q(-5). Suppose 3*b = -v*b + 6. Factor -2/3*z**3 - 2*z + 2/3 + b*z**2.
-2*(z - 1)**3/3
Let q(t) be the second derivative of 10*t**7/21 + 26*t**6/15 + 9*t**5/5 - t**4/3 - 4*t**3/3 + 2*t. Factor q(p).
4*p*(p + 1)**3*(5*p - 2)
Let z = -103/30 + 23/6. Let c be 4/(-6)*(-6)/10. Find o such that -z + 4/5*o - c*o**2 = 0.
1
Let f = 378/13 + -2851/52. Let n = f + 26. Solve 0 - n*y - 1/2*y**2 = 0 for y.
-1/2, 0
Let z(u) = -11*u**2 - 10*u - 1. Let g(h) = -h**2 - h - 1. Let i(n) = -6*g(n) + 3*z(n). Find p, given that i(p) = 0.
-1, 1/9
Let s(k) = k**2 + 4*k - 2. Let u be s(-5). Factor -6 + 13*m + 0*m**3 - u*m**3 - 4*m.
-3*(m - 1)**2*(m + 2)
Factor -6*s**2 + 142 + 0*s**2 - 148 - 9*s + 3*s**2.
-3*(s + 1)*(s + 2)
Let n(j) be the third derivative of -j**8/11200 + j**7/4200 + j**6/600 - j**4/12 + j**2. Let g(c) be the second derivative of n(c). Factor g(o).
-3*o*(o - 2)*(o + 1)/5
Let i(s) be the first derivative of -s**8/560 + s**7/140 - s**5/20 + s**4/8 - s**3/3 - 3. Let k(v) be the third derivative of i(v). Factor k(q).
-3*(q - 1)**3*(q + 1)
Suppose -2*d + 10 = 3*d. Solve -4*q**3 - q**4 + 4*q + 4 - d + 0 - q**4 = 0.
-1, 1
Let y = 10 - 23. Let r = 17 + y. Factor 0 + 0*f**2 - 1/4*f**5 + 0*f - 1/4*f**3 + 1/2*f**r.
-f**3*(f - 1)**2/4
Let v(z) = 15*z**3 + 83*z**2 + 52*z - 8. Let u(j) = -10*j**3 - 55*j**2 - 35*j + 5. Let l(o) = -8*u(o) - 5*v(o). Factor l(x).
5*x*(x + 1)*(x + 4)
Let k(u) = 7*u**3 + 4*u**2 + 3*u - 3. Let y(v) = 20*v**3 + 12*v**2 + 8*v - 8. Let m(r) = -8*k(r) + 3*y(r). Factor m(f).
4*f**2*(f + 1)
Let a(k) = k - 1. Let h(s) = -2*s**2 + 10*s - 10. Let n(v) = 2*a(v) - h(v). Factor n(b).
2*(b - 2)**2
Let m(q) be the second derivative of -3*q**5/140 - q**4/7 + q**3/14 + 6*q**2/7 + 24*q. Determine v, given that m(v) = 0.
-4, -1, 1
Let b(f) = f**2 + 7*f + 3. Let t be b(-7). Determine q so that -q**3 - 3*q + t*q**3 + q = 0.
-1, 0, 1
Let d be (3/2)/(2/12). Factor d + 13*f**3 - f**2 - 2*f**4 - 5*f**2 - 5*f**3 - 1 - 8*f.
-2*(f - 2)**2*(f - 1)*(f + 1)
Suppose 7*q - 15*q + 40 = 0. Suppose -3*s + 3*w = 6, -q*s - w - 1 + 3 = 0. Solve 2/9*f**3 + s + 4/9*f**2 + 2/9*f = 0 for f.
-1, 0
Factor -2*s - 3*s**2 - s**2 - 10*s.
-4*s*(s + 3)
Let k(q) = q**2. Let a(r) = 7*r**2 + 6*r + 9. Let u(f) = -5*a(f) + 30*k(f). Solve u(s) = 0 for s.
-3
Let h be 5/20*-1*0. Let t(r) be the second derivative of 1/40*r**5 + 1/24*r**4 - 1/12*r**3 + 4*r - 1/4*r**2 + h. Solve t(u) = 0 for u.
-1, 1
Let p(a) = -275*a**2 - 5*a + 2. Let d(s) = -1650*s**2 - 30*s + 10. Let c(t) = 4*d(t) - 25*p(t). What is j in c(j) = 0?
-1/5, 2/11
Let v(u) be the third derivative of 0*u - 1/600*u**6 - 1/1050*u**7 + 0 + 1/300*u**