 114. Factor c(h).
4*h**2*(h - 1)*(h + 32)
Suppose -134 - 1277 = -364*r + 45. Factor 4/3*p - 4/3*p**3 - 2/3*p**r + 2/3 + 0*p**2.
-2*(p - 1)*(p + 1)**3/3
Suppose 0 = -s + 3*s - 60. Suppose 5*n - 25 = -2*u, -4*n = -3*u - 9*n + s. Suppose 0 + 3/4*w**u - 3/4*w**2 - 9/4*w**3 + 1/2*w - 1/4*w**4 = 0. Calculate w.
-1, 0, 1/3, 2
Let v = 18/5 + -751/210. Let f(i) be the third derivative of 1/840*i**6 + 1/140*i**5 + 0*i + v*i**3 - 5*i**2 + 0 + 1/56*i**4. Factor f(a).
(a + 1)**3/7
Factor -36*n**3 - 2*n**2 - 106*n**2 - 4*n**4 + n**4.
-3*n**2*(n + 6)**2
Let j(u) = 18*u**2 - 17*u + 1. Let z be j(1). Factor 0 + 8/7*h + 2/7*h**z.
2*h*(h + 4)/7
Let t(a) be the first derivative of 64*a**3 - 2*a**2 - 136. Factor t(s).
4*s*(48*s - 1)
Let o(m) be the first derivative of 3*m**4 + 0*m + 8/3*m**3 + 0*m**2 - 2/3*m**6 + 0*m**5 + 10. Factor o(a).
-4*a**2*(a - 2)*(a + 1)**2
Suppose 12 = -4*x + 24. Suppose 17*c**3 - 4*c**4 - 25*c**x + 2*c - 4*c**2 - 2*c = 0. What is c?
-1, 0
Let u(l) = l**2 - l - 10. Let z be u(4). Factor n**z + n**2 - n + 0*n**2 - n.
2*n*(n - 1)
Let f be (-62)/465 - 9/(-30). Let r be 0 + (2 - 1) - -2. Let -1/6*i**2 + f*i + 0 + 1/6*i**4 - 1/6*i**r = 0. Calculate i.
-1, 0, 1
Let f(j) = -4*j**5 - 23*j**4 - 32*j**3 - 13*j**2 + 3*j. Let r(z) = 20*z**5 + 116*z**4 + 160*z**3 + 64*z**2 - 16*z. Let t(p) = -16*f(p) - 3*r(p). Factor t(i).
4*i**2*(i + 1)*(i + 2)**2
Suppose -3/5*d**4 + 9/5*d**3 + 0 + 27/5*d**2 + 3*d = 0. Calculate d.
-1, 0, 5
Let g = 37 + -35. What is x in x**3 + 3*x**5 - 4*x**3 + g*x**2 + 3*x**4 - 5*x**2 = 0?
-1, 0, 1
Let m(h) = -3*h**4 + 5*h**3 + 6*h**2 - 8*h - 2. Let g(t) = 7*t**4 - 10*t**3 - 11*t**2 + 14*t + 5. Let p(k) = -2*g(k) - 5*m(k). Determine a so that p(a) = 0.
-2, 0, 1, 6
Let i = -18 + 5. Let v = i + 15. Determine l so that 29*l - 38*l - l**v - 2*l**2 = 0.
-3, 0
Let a(j) = 20*j**3 - 52*j**2 + 56*j - 16. Let x(k) = 58*k**3 - 156*k**2 + 167*k - 47. Let i(d) = 11*a(d) - 4*x(d). Solve i(y) = 0.
1/3, 1, 3
Let j be (-14)/(-63) - (-5286)/27. Let d = -196 + j. Determine l, given that d*l + 0 + 0*l**4 - 1/2*l**5 + 1/2*l**3 + 0*l**2 = 0.
-1, 0, 1
Factor 89/7*i - 5/7*i**3 + 26/7 + 58/7*i**2.
-(i - 13)*(i + 1)*(5*i + 2)/7
Let z = -1518 - -3037/2. Let h(c) be the second derivative of -3/20*c**5 - 5*c + 0 + 0*c**4 + z*c**3 + 0*c**2. Factor h(f).
-3*f*(f - 1)*(f + 1)
Let m = -52 - -65. Determine y so that 8*y - m*y**3 + 4*y**2 - 25*y**3 + 22*y**3 - 12*y**4 = 0.
-1, 0, 2/3
Let r(j) = -2*j**2 + 16*j + 21. Let t be r(9). Find v such that 3*v**t - 44 - 42*v**2 + 83*v + 12*v - 20*v + 8 = 0.
1, 12
Suppose 5*l + 4*r = -8, -2*l = -5*l + 5*r + 10. Let x(p) be the first derivative of 3 + l*p + 1/2*p**4 - 4*p**2 + 0*p**3. Find h such that x(h) = 0.
-2, 0, 2
Let z(v) be the second derivative of -1/12*v**4 + 3*v - 1/40*v**5 + 2/3*v**3 + 0*v**2 - 1/360*v**6 + 0. Let b(j) be the second derivative of z(j). Factor b(l).
-(l + 1)*(l + 2)
Let c be ((56/(-8))/35)/(2/(-15)). Let u(k) be the first derivative of 1/2*k**3 + 0*k**2 + 4 - c*k. Factor u(p).
3*(p - 1)*(p + 1)/2
Let a be -4 + 5/4060*3058. Let k = 3/58 - a. Factor 0*f**2 - 2/7*f + 0 + 4/7*f**3 - k*f**5 + 0*f**4.
-2*f*(f - 1)**2*(f + 1)**2/7
Let g(q) = q**2 + 25*q - 81. Let u be g(-28). Let w(m) be the first derivative of 2/3*m**u + 1/2*m**2 + 3 - 1/4*m**4 - 2*m. Factor w(h).
-(h - 2)*(h - 1)*(h + 1)
Let v = -8778 - -17559/2. Factor 0 + 3/2*h - v*h**3 + 0*h**2.
-3*h*(h - 1)*(h + 1)/2
Let j(h) be the third derivative of 1/8*h**5 + 0 - 11*h**2 + 1/8*h**4 + 1/20*h**6 + 0*h**3 + 1/140*h**7 + 0*h. Determine d so that j(d) = 0.
-2, -1, 0
Let h(j) be the third derivative of -j**7/11340 - j**6/1620 + j**5/180 - j**4/8 + 9*j**2. Let q(d) be the second derivative of h(d). Let q(g) = 0. What is g?
-3, 1
Let c be (8 - 8)/(8 + -3 - 3). Let z be (-4)/(-6)*(-1)/(-2). Find p, given that 1/3*p**5 + c + 0*p - 1/3*p**4 - z*p**3 + 1/3*p**2 = 0.
-1, 0, 1
Factor 4*g**4 - 37 + 19 - 20*g**3 + 28*g**2 - 12*g + 18.
4*g*(g - 3)*(g - 1)**2
Factor 213*m + 41 - 8 + 39 + 18*m**2 - 39*m**2 + 12*m**2.
-3*(m - 24)*(3*m + 1)
Let x(q) be the second derivative of -5*q**4/12 - 5*q**3/3 - 5*q**2/2 + 257*q. Factor x(j).
-5*(j + 1)**2
Let g(c) be the first derivative of 49*c**4/4 - 217*c**3/3 - 68*c**2 - 20*c + 210. Let g(h) = 0. What is h?
-2/7, 5
Suppose 5*y = 4*s + 4*y - 5, 0 = -2*s + 4*y - 8. Let -7*z**3 - 12*z**s + 16*z**2 - 4*z**4 + 3*z**3 + 4*z**5 = 0. Calculate z.
-1, 0, 1
Solve 4/5*p**2 + 0*p + 2/5*p**3 + 0 = 0.
-2, 0
Suppose 0 = -15*q + 20*q. Let r(u) be the second derivative of 0*u**2 + q*u**4 - 1/6*u**3 + 0 + 1/20*u**5 + 7*u. Factor r(k).
k*(k - 1)*(k + 1)
Let f be 110/25 - 9/(-15). Solve -133*p**4 + 127*p**4 - p**f - 8*p**5 = 0.
-2/3, 0
Let c be 20/(-4) - (3 + (-343)/42). Let r(m) be the second derivative of -c*m**3 + 0*m**2 + 0 - m - 1/12*m**4. Factor r(a).
-a*(a + 1)
Let h be 0 - ((-2)/(-4))/(8/(-48)). Let j(s) be the second derivative of 0 - 1/18*s**4 + 0*s**h + 1/3*s**2 - 4*s. Find f such that j(f) = 0.
-1, 1
Let t(f) = 3*f**2 - 400*f - 414. Let y(o) = -o**2 + 80*o + 83. Let h(a) = 2*t(a) + 11*y(a). Find i such that h(i) = 0.
-1, 17
Let y be 2/((2/(-20))/(8/(-16))). Factor 4*l**3 - 6*l**2 + y - 4*l**2 + l**3 - 4*l - l.
5*(l - 2)*(l - 1)*(l + 1)
Let y(k) be the second derivative of 0 + 0*k**2 + 0*k**4 + 1/15*k**6 + 0*k**3 - 1/10*k**5 + k. Find p such that y(p) = 0.
0, 1
Let v(z) = -100*z**3 - 255*z**2 - 165*z + 15. Let u(n) = 25*n**3 + 64*n**2 + 41*n - 4. Let q = 23 - 17. Let h(l) = q*v(l) + 25*u(l). Solve h(p) = 0.
-2, -1, 1/5
Factor 2/17*k**2 - 46/17*k + 84/17.
2*(k - 21)*(k - 2)/17
Suppose -6 = -14*d + 36. Let i(x) be the second derivative of 0*x**d + 1/14*x**4 - x - 1/70*x**5 + 0 - 4/7*x**2. Find q, given that i(q) = 0.
-1, 2
Let n(y) be the second derivative of -2*y**5/55 - y**4/22 + y**3/33 - y - 28. Suppose n(b) = 0. What is b?
-1, 0, 1/4
Let z(w) = -32*w**2 + 8*w + 128. Let r(q) = -q**3 + 2*q**2 - q - 2. Let v(p) = -4*r(p) - z(p). Factor v(h).
4*(h - 2)*(h + 3)*(h + 5)
Let t be 75/40 + 2/16. Factor -6*r**2 + 66*r**3 - t*r**2 - 54*r**3 - 4*r**5.
-4*r**2*(r - 1)**2*(r + 2)
Let o(y) be the first derivative of -16/21*y**3 - 36/7*y + 3*y**2 + 8 + 1/14*y**4. Factor o(j).
2*(j - 3)**2*(j - 2)/7
Let w = -79 - -554/7. Let g(v) be the first derivative of 0*v**5 + 1/21*v**6 + 0*v**3 - w*v**4 + 1/7*v**2 + 0*v - 2. Factor g(d).
2*d*(d - 1)**2*(d + 1)**2/7
Suppose c + 19 = -27. Let o be c/23 - (0 - (-58)/(-12)). Let -7/3*f**2 - 1 + 1/2*f**3 + o*f = 0. Calculate f.
2/3, 1, 3
Let m = -21010 - -21010. Determine k, given that k**2 + m*k + 1/2*k**5 - k**4 - 1/2*k**3 + 0 = 0.
-1, 0, 1, 2
Let i = 4 - 45. Let j be 0/(-1 + -2) - i. Factor 9*b - 2*b**2 - 3*b + j - 45.
-2*(b - 2)*(b - 1)
Let d(s) be the second derivative of -s**7/6300 + 7*s**6/900 - 49*s**5/300 + 7*s**4/4 + 18*s. Let b(j) be the third derivative of d(j). Factor b(k).
-2*(k - 7)**2/5
Let t(n) be the second derivative of -n**7/1800 + 23*n**6/3600 - n**5/100 - n**4/3 + 20*n. Let v(d) be the third derivative of t(d). Solve v(j) = 0 for j.
2/7, 3
Factor -150*n + 0 - 2/3*n**3 + 20*n**2.
-2*n*(n - 15)**2/3
Let k(r) = r**2 + 26*r - 4. Let x be k(-26). Let w be x*10/(-16) + -2. Factor 0 + 3/2*u**2 - w*u**3 - u.
-u*(u - 2)*(u - 1)/2
Factor 26*k - k**2 - 56*k + 15 + 18*k - 2*k**2.
-3*(k - 1)*(k + 5)
Let 2/9*q**3 + 10/3*q + 2*q**2 - 50/9 = 0. Calculate q.
-5, 1
Let l(z) be the third derivative of 0 - 1/600*z**6 + 0*z - 6/5*z**3 - 39*z**2 + 11/300*z**5 - 1/5*z**4. Factor l(q).
-(q - 6)**2*(q + 1)/5
Let n be 0 + (-15)/9*-3. Suppose -n*c = -c - 16. Factor -7 + 12*o - 8 + 7 - c*o**2.
-4*(o - 2)*(o - 1)
Let m(w) be the third derivative of w**8/336 - 2*w**7/105 + w**6/60 + w**5/15 - w**4/8 - 101*w**2. Find f, given that m(f) = 0.
-1, 0, 1, 3
Let w(t) be the first derivative of t**4/12 + 11*t**3/3 - 107. Factor w(s).
s**2*(s + 33)/3
Suppose -6*o + 15 = 9. Let q = o + 4. Factor -1/5*l**q + 0 - 3/5*l**3 - 1/5*l**2 + 0*l - 3/5*l**4.
-l**2*(l + 1)**3/5
Let 4*c + 0 - 5/2*c**4 - 3*c**3 + 2*c**2 - 1/2*c**5 = 0. Calculate c.
-2, 0, 1
Suppose 4*b + 14 = n, -2*n = -7*n - 10. Let o = b + 7. Suppose -2*s + 81*s**3 - 42*s**3 - 2*s**5 - 35*s**o = 0. What is s?
-1, 0, 1
Suppose b + 8 = -5*z, -b = -0*b + 4*z + 4. Factor -21*x + 1 - 7 - 27*x**2 - b*x.
-3*(x + 1)*(9*x + 2)
Let i(p) be the third derivative of -p**6/40 + p**