15*i**2/2 - 6*i - 89. Solve f(z) = 0 for z.
1, 2
Let h(x) be the second derivative of -1/210*x**6 - 23*x + 1/21*x**3 + 0 + 1/84*x**4 + 1/294*x**7 + 0*x**2 - 3/140*x**5. Factor h(g).
g*(g - 2)*(g - 1)*(g + 1)**2/7
Let m(a) be the first derivative of -a**3/12 + 5*a**2/4 + 6*a + 80. Factor m(i).
-(i - 12)*(i + 2)/4
Let p(f) be the second derivative of -f**4/18 + 124*f**3/9 - 3844*f**2/3 + 2*f + 40. Find s, given that p(s) = 0.
62
Let z be -4 + -6 - 6*-2. Solve 14/17*a**z + 0 - 10/17*a**3 - 4/17*a = 0.
0, 2/5, 1
Factor 20 + 2/5*i**3 - 198/5*i + 96/5*i**2.
2*(i - 1)**2*(i + 50)/5
Let r = 1/4 + 5/4. Suppose -w = 2*g - 7 - 3, 4*w - 4*g = -20. Solve 3/2*l**2 + w - r*l = 0.
0, 1
Suppose 4*g + 2*n - 74 = 0, -3*n + 9 = -g + 2*n. Suppose -6 = u - g. Factor -8*j**3 + j**3 + 2*j**3 - u*j**2.
-5*j**2*(j + 2)
Let o(u) be the first derivative of -4*u**3/3 - 4*u**2 - 4*u - 21. Factor o(f).
-4*(f + 1)**2
Let u = -2124 + 2128. Let j(k) be the second derivative of 1/6*k**6 + 5/12*k**u - 3*k + 0 - 5/2*k**3 + 3/4*k**5 - 5*k**2. Factor j(m).
5*(m - 1)*(m + 1)**2*(m + 2)
Let r be ((-4)/8*-4 - -1)*1. What is x in 10*x**r - 6*x**2 + 2*x**4 - 21*x**3 + 15*x**3 = 0?
-3, 0, 1
Let p = -4 + 5. Let h(r) = r**4 - 2*r**3 - 3*r**2 + 5*r. Let m(q) = -q + 0*q + q**4 - 2*q**4 + q**2. Let u(z) = p*h(z) + 5*m(z). Factor u(c).
-2*c**2*(c + 1)*(2*c - 1)
Suppose 48*u = 45*u + 6. Let a(t) be the second derivative of 1/2*t**4 + 0 + 0*t**u + 2*t - 2/3*t**3. Determine y, given that a(y) = 0.
0, 2/3
Let v(n) be the third derivative of 1/30*n**5 - 1/24*n**4 + 1/120*n**6 + 0 - 1/3*n**3 + 0*n + 11*n**2. Factor v(w).
(w - 1)*(w + 1)*(w + 2)
Let l(j) be the third derivative of -j**6/960 + j**4/192 + 45*j**2 - 4*j. Let l(x) = 0. Calculate x.
-1, 0, 1
Let r(w) be the first derivative of w**5/480 - w**4/32 + 3*w**3/16 + 4*w**2 - 3. Let z(v) be the second derivative of r(v). Find i such that z(i) = 0.
3
Let g(v) = -v + 7. Let z be g(3). Let q(x) = x**2 - 3*x - 1. Let j be q(4). Suppose 5*o - j*o + 6*o**3 - 6*o**2 + 2*o - 2*o**z - 2*o = 0. Calculate o.
0, 1
Factor -12 + 187*b**2 + 63/2*b**3 - 14*b.
(b + 6)*(7*b - 2)*(9*b + 2)/2
Suppose 0 = -6*i - i + 49. Suppose i*d = d + 2*d. Solve -1/2*x**2 - 1/2*x + d = 0 for x.
-1, 0
Let t(q) = -q**3 - q**2 + q + 1. Let n(d) = -5*d**3 - 5*d**2 - 91*d + 197. Let y(i) = n(i) - 8*t(i). Factor y(x).
3*(x - 3)**2*(x + 7)
Let j be (1 - 2)/((-9)/(27/21)). Let c(l) be the first derivative of 2/21*l**3 + 0*l**2 - 5 + 2/35*l**5 + 0*l - j*l**4. Factor c(o).
2*o**2*(o - 1)**2/7
Let n = 501/602 - -1/903. Suppose 0*x + 0 - 5/6*x**2 - 5/6*x**3 + n*x**4 + 5/6*x**5 = 0. Calculate x.
-1, 0, 1
Let p(n) = 5*n**2 + 10*n - 10. Let b be p(-11). Let y = -3389/7 + b. Solve -3/7*z**3 - 3/7*z + 0 + y*z**2 = 0.
0, 1
Let n(g) be the first derivative of -1/21*g**6 + 0*g + 6/35*g**5 + 0*g**2 + 5 + 2/21*g**3 - 3/14*g**4. Factor n(z).
-2*z**2*(z - 1)**3/7
Let k be (2*-1)/(-8) - 319/(-116). Factor -4*n**2 - 2*n**3 + 6*n + 4 - n - k*n.
-2*(n - 1)*(n + 1)*(n + 2)
Factor 34*f + 7*f**2 - 38*f - 17*f**2 + 2*f**3 + 10*f**4 + 4*f**3 - 2*f**3.
2*f*(f - 1)*(f + 1)*(5*f + 2)
Let g = -123/7 + 629/35. Solve -2/5 + 0*j + g*j**2 = 0.
-1, 1
Suppose -22*m = -5 + 27. Let q(j) = -j**2 + 1. Let o(l) = -2 - 7 + 0*l + 6*l**2 - 3*l. Let n(g) = m*o(g) - 3*q(g). Factor n(k).
-3*(k - 2)*(k + 1)
Let b(d) be the second derivative of -d**9/5040 - d**8/2800 + d**7/1400 + d**6/600 - 5*d**3/6 - 26*d. Let i(f) be the second derivative of b(f). Factor i(y).
-3*y**2*(y - 1)*(y + 1)**2/5
Suppose -12*d + 18 = -6. Let i be 221/357 + d/14*-2. Factor i*f**2 + 16/3 - 8/3*f.
(f - 4)**2/3
Let y(a) be the first derivative of 5*a**4/4 + 35*a**3/3 + 25*a**2 + 375. Determine r so that y(r) = 0.
-5, -2, 0
Suppose 0 = 47*u + 86 - 227. Let p(l) be the first derivative of 1/27*l**u - 1/18*l**2 + 0*l + 1. Let p(k) = 0. Calculate k.
0, 1
Suppose -j - 5*d = -27, -3*d - 10 = -2*j - 2*d. Factor -2*a + 7*a + 0*a + j*a**2 + 2 + 2*a**3 + 2*a.
(a + 1)*(a + 2)*(2*a + 1)
Let r be (5 + ((-5)/(-30))/(1/(-31)))*-32. Factor 5*q**2 - r*q**4 - 2/3*q - 8*q**3 + 0.
-q*(q + 2)*(4*q - 1)**2/3
Let n(b) = -10*b - 67. Let d be n(-7). Let h(m) be the second derivative of 0 + 4*m**d + 1/10*m**5 + 5*m + m**4 + 8*m**2. Factor h(u).
2*(u + 2)**3
Let a(t) be the first derivative of -t**5/10 + t**4 - 3*t**3 + 4*t**2 - 21*t + 17. Let u(k) be the first derivative of a(k). Find p, given that u(p) = 0.
1, 4
Suppose -4*s + 10 = -j, s - 11 = 2*j - 12. Let b(z) be the first derivative of 4*z + 0*z**2 - 4/3*z**s - 10. Solve b(h) = 0.
-1, 1
Let v(y) = y**2 - y - 1. Let b(h) = -h**2. Let t(f) = 13*f**2 + 5*f. Let o(j) = -15*b(j) - 3*t(j). Let l(s) = -o(s) - 9*v(s). Factor l(r).
3*(r + 1)*(5*r + 3)
Let n = -231508/55 - -4211. Let x = n - 15/11. Factor 0*i - 2/5*i**3 + 0 + 0*i**2 + 4/5*i**4 - x*i**5.
-2*i**3*(i - 1)**2/5
Let x(t) be the first derivative of 4*t**3/3 - 48*t**2 - 240. Factor x(s).
4*s*(s - 24)
Let b be (1/(-3))/((-64)/48). Let c = 55 - 53. Determine k so that 0 + 3/4*k**3 + 3/4*k**c + b*k + 1/4*k**4 = 0.
-1, 0
Let t be 50/15*(-240)/(-1000). Factor -12/5*w**2 + 0 + 0*w - t*w**3.
-4*w**2*(w + 3)/5
Suppose 7*w = 5*w + 26. Find s, given that 5*s**2 - 3 + w + 3*s + 12*s = 0.
-2, -1
Let p(k) be the first derivative of -k**3/3 + 6*k**2 - 36*k - 71. Factor p(f).
-(f - 6)**2
Let n(y) = -6*y**2 + 9*y + 9. Let r(w) = 11*w**2 - 18*w - 19. Let o(k) = -5*n(k) - 3*r(k). Factor o(v).
-3*(v - 4)*(v + 1)
Let s be (-310)/(-1140) - 8/76. Factor -1/3 - s*b + 1/3*b**2 + 1/6*b**3.
(b - 1)*(b + 1)*(b + 2)/6
Let f(g) be the second derivative of -g**4/42 - g**3/21 + 20*g**2/7 - 34*g. Solve f(y) = 0.
-5, 4
Let t(h) be the second derivative of -1/6*h**3 + 1/60*h**6 - 1 + 3/4*h**2 - 1/6*h**4 + 1/20*h**5 - 3*h. Factor t(q).
(q - 1)**2*(q + 1)*(q + 3)/2
Let h be 24/10 - ((-7)/(-28) + (-7)/(-4)). Let m = -1/307 - -3689/1535. Suppose 18/5 + h*l**2 + m*l = 0. What is l?
-3
Suppose -11*y**3 - 28*y**3 + 13*y**2 + 98*y**2 - 28*y**3 - 18*y - 576*y**4 + 49*y**3 + 96*y**5 = 0. What is y?
-1/2, 0, 1/4, 6
Let v(r) = -r**4 - 56*r**3 + 54*r**2 - 3*r. Let o(i) = 56*i**3 - 54*i**2 + 2*i. Let w(c) = -3*o(c) - 2*v(c). What is d in w(d) = 0?
0, 1, 27
Let t(r) = r**3 - 7*r**2 + 5*r + 6. Let w be t(6). Let f be 2/10 - w - 7/(-15). Factor -2/3*j - f - 1/6*j**2.
-(j + 2)**2/6
Let s(z) be the third derivative of -z**6/420 - 2*z**5/35 + 13*z**4/84 + 22*z**2. Factor s(q).
-2*q*(q - 1)*(q + 13)/7
Let p(l) = -l**3 + l**2 + 1. Let d(b) = 2*b**5 - 6*b**4 - 3*b**3 + 11*b**2 - 4*b + 5. Let q(a) = -d(a) + 5*p(a). Find v, given that q(v) = 0.
-1, 0, 1, 2
Suppose 411 = -5*k - 594. Let q be (-2)/13 - k/39. Factor 4*r + 3*r - q*r**2 + 2*r**2 + 2*r.
-3*r*(r - 3)
Let g(v) = -v**3 - v**2 + v - 1. Let w(y) = 7*y**3 - 3*y**2 - 12*y + 2. Let k(x) = 2*g(x) + w(x). Suppose k(h) = 0. Calculate h.
-1, 0, 2
Let x(g) = -g**3 + g**2 + 157. Let b be x(0). Find y, given that -y - 4*y**3 + 157 - b + 5*y**2 = 0.
0, 1/4, 1
Let w(o) = -22*o**2 - 272*o - 1690. Let c(a) = 676 + 0*a**2 + 88*a + 9*a**2 + 7*a + 14*a. Let s(f) = -12*c(f) - 5*w(f). Factor s(n).
2*(n + 13)**2
Let -4/13 + 4/13*l**2 - 62/13*l**3 + 62/13*l = 0. What is l?
-1, 2/31, 1
Let u(a) = a**4 + a**3 - a - 1. Let w(g) = -3*g**4 + 5 - g**3 - 3*g**2 - 2*g**3 + 2*g - 1 - g**3. Let c(h) = -4*u(h) - w(h). Factor c(m).
-m*(m - 2)*(m + 1)**2
Suppose -2*v = 4*v - 24. Let 91*w**v + 12*w**5 + 66*w**3 - 2*w - 38*w**4 + 12*w**2 - 6*w = 0. What is w?
-2, -2/3, 0, 1/4
Solve 12/7*a**3 + 16/7*a**4 - 12/7 - 12*a**2 + 68/7*a = 0.
-3, 1/4, 1
Suppose -5*j = -10, -3*j + 7*j - 543 = -5*v. Solve -104*c**4 - 2*c**2 - c**2 + v*c**4 = 0 for c.
-1, 0, 1
Factor 11*h**3 - 19*h**3 + 80 - 17*h**2 - 19*h - 62*h + 17*h + 9*h**3.
(h - 20)*(h - 1)*(h + 4)
Suppose -24*a = -22*a - 8. Factor 6*s**3 - a*s**3 - 4*s - 24*s**2 + 1 - 30*s**3 + 1 - 10*s**4.
-2*(s + 1)**3*(5*s - 1)
Let p(t) be the second derivative of 5*t**4/12 + 790*t**3/3 + 62410*t**2 + 133*t. Factor p(z).
5*(z + 158)**2
Let u be (0 + 1)*(-47 - -47). Let w(y) be the third derivative of u*y**4 + 1/30*y**6 + 1/35*y**7 + 4*y**2 + 0*y**5 + 0*y + 0*y**3 + 0 - 5/168*y**8. Factor w(v).
-2*v**3*(v - 1)*(5*v + 2)
Suppose -20*j - 16 = m - 15*j, -5*j = 4*m + 4. Let p(l) be the first derivative of 0*l - 3/20*l**5 + 0*l**2 - 1/2*l**3 - 9/16*l**m + 6. Factor p(w).
-3*w**2*(w + 1)*(