b - 2)*(b + 1)/5
Let k(c) be the second derivative of 20*c + 10/27*c**3 + 0 + 1/27*c**4 + 0*c**2. Factor k(s).
4*s*(s + 5)/9
Let a be 4 + 2 + 1*20/(-5). Suppose -32 = -3*g - 5. Factor -3*c + 3*c**3 + g*c**2 + 2 + 1 - a - 10.
3*(c - 1)*(c + 1)*(c + 3)
Factor -1/3*t - t**4 - 5/3*t**2 + 0 - 7/3*t**3.
-t*(t + 1)**2*(3*t + 1)/3
Let i = 1850/9 - 9241/45. Let -1/10*m**5 + 0 + 0*m - i*m**4 + 1/10*m**3 + 1/5*m**2 = 0. Calculate m.
-2, -1, 0, 1
Let n = 58 + -54. Let t be -2 + (-34)/(-5) - n. Factor 2/5*z**3 + t*z**2 - 4/5 - 2/5*z.
2*(z - 1)*(z + 1)*(z + 2)/5
Let s(a) = a + 1. Let z(j) = j**3 - 4*j**2 + 4*j + 1. Let f be z(2). Let m(d) = -14*d**4 + 8*d**3 + 6*d**2 - d - 1. Let o(x) = f*m(x) + s(x). Factor o(q).
-2*q**2*(q - 1)*(7*q + 3)
Let u = 47728 - 5345497/112. Let h = u + -1/16. Factor 6/7*k**2 + 6/7*k + 2/7*k**3 + h.
2*(k + 1)**3/7
Suppose -11*r - 36 = -29*r. Factor 75*s**2 + 9 - 95*s**r - 5*s + 21 - 5*s**3.
-5*(s - 1)*(s + 2)*(s + 3)
Let q(h) be the second derivative of h**6/165 - h**4/66 + h - 32. Let q(z) = 0. Calculate z.
-1, 0, 1
Let d(a) = -11*a**3 - 14*a**2 + 74*a - 14. Let t(o) = 12*o**3 + 13*o**2 - 73*o + 13. Let s(j) = -3*d(j) - 2*t(j). Solve s(q) = 0.
-4, 2/9, 2
Let l(n) = -17*n**2 + 81*n - 91. Let c be l(2). Factor 0 + 0*b - 1/3*b**2 + 1/3*b**4 + 0*b**c.
b**2*(b - 1)*(b + 1)/3
Let u(h) be the second derivative of h**7/14 - 7*h**6/5 + 183*h**5/20 - 21*h**4 + 18*h**3 - 313*h - 1. Factor u(a).
3*a*(a - 6)**2*(a - 1)**2
Suppose 0 = -5*p - a - 3*a + 35, 5*p = 5*a - 10. Let k be 3/(p/2 - 0). Factor -k*w**4 - w**5 + 5*w**4 - 2*w**5 + 2*w**3 + 4*w**5.
w**3*(w + 1)*(w + 2)
Find k, given that 22472/3 - 424/3*k + 2/3*k**2 = 0.
106
Let j(d) be the third derivative of d**5/210 - 11*d**4/28 - 10*d**3/3 - 563*d**2. Let j(r) = 0. Calculate r.
-2, 35
Let r be 3/21 + (-143)/(-77). Factor 6/5*o**r + 9/5*o + 0 - 3/5*o**3.
-3*o*(o - 3)*(o + 1)/5
Determine k so that 136/3*k**2 + 4/3*k**3 + 336*k - 864 = 0.
-18, 2
Let s(d) = d**3 - 10*d**2 + 10*d - 1. Let f be s(9). Solve 11*z**4 + 85*z**4 + 16*z + 32 - 36*z**5 - 104*z**2 + 4*z**3 - f*z**3 = 0 for z.
-2/3, 1, 2
Factor -8 + 0*f**3 - 68/3*f + 16/3*f**4 - 56/3*f**2 + 4/3*f**5.
4*(f - 2)*(f + 1)**3*(f + 3)/3
Let r(q) be the third derivative of q**8/47040 - q**7/2352 - q**6/280 - 3*q**5/10 - 28*q**2. Let y(j) be the third derivative of r(j). Solve y(l) = 0.
-1, 6
Suppose 2*h = 4*h + 80. Let p be h/(-16) - (-1)/6*-3. Solve 0 + 2/7*g**3 - 6/7*g - 4/7*g**p = 0.
-1, 0, 3
Suppose 5*k = 4*y - 6, -k - 23*y = -25*y + 6. Factor 0 + 0*i - 9/5*i**k + 3/5*i**3.
3*i**2*(i - 3)/5
Factor -1403*n**2 - 1/2*n**4 - 52*n**3 - 2652*n - 2601/2.
-(n + 1)**2*(n + 51)**2/2
Let f(m) = -5 - 9*m**2 + 4*m**3 - 2*m**3 + 16*m - 10*m. Let l(u) = 4*u**3 - 17*u**2 + 12*u - 9. Let b be (3 - 4)*5*1. Let p(q) = b*f(q) + 3*l(q). Factor p(x).
2*(x - 1)**3
Let b = -916 + 15574/17. Solve 4/17*d - 4/17*d**3 + 2/17*d**2 + 0 - b*d**4 = 0 for d.
-2, -1, 0, 1
Let p = -13 + 10. Let z be p/((-3)/(-2))*12/(-96). Suppose -1/4*c**2 - z*c**3 + 0 + 1/4*c + 1/4*c**4 = 0. Calculate c.
-1, 0, 1
Factor -3/4*n**2 - 39/4*n + 45/2.
-3*(n - 2)*(n + 15)/4
Let f = -4 - -5. Suppose 2*a = 3*b + 17 + 4, -5*a = 3*b. Factor a + 3*o**2 - 4 + f + 3*o**3 - 6*o.
3*o*(o - 1)*(o + 2)
Let t(m) = -9*m - 13. Let l(k) = -65*k - 90. Let b(f) = 2*l(f) - 15*t(f). Let a be b(-3). Factor a + 5/2*c**2 + 1/2*c + 2*c**3.
c*(c + 1)*(4*c + 1)/2
Let b = 0 - -2. Let q(s) = 4*s + 31. Let k be q(-7). What is i in -5*i**2 + k*i - i**5 + i**b + i**2 + i**2 + 3*i**4 - 1 - 2*i**3 = 0?
-1, 1
Let c = 11 - 9. Let r(y) = 2*y**3 + 4*y - 3. Let k be r(c). Factor -69*o**4 - 28*o**5 + k*o**4 + 7*o**2 - 12*o**3 + o**2.
-4*o**2*(o + 1)**2*(7*o - 2)
Let a(h) be the first derivative of h**6/60 - h**5/30 - h**4/12 + h**3/3 - 39*h**2/2 + 39. Let j(y) be the second derivative of a(y). Factor j(i).
2*(i - 1)**2*(i + 1)
Let d(h) be the second derivative of -h**5/4 - 15*h**4/4 - 20*h**3 - 40*h**2 + 19*h. Factor d(m).
-5*(m + 1)*(m + 4)**2
Let d = -1531 + 3067/2. Let g(p) be the first derivative of 10 + 27/8*p**4 - 8/3*p**2 - d*p**3 - 2/3*p. Suppose g(j) = 0. What is j?
-2/9, 1
Let n(x) = -x**2 + 12*x + 3. Let p(v) = v**3 + 22*v**2 + 22*v + 33. Let u be p(-21). Let q be n(u). Find y such that -1/4*y**q + 1/2*y + 0 + 1/4*y**2 = 0.
-1, 0, 2
Let a(f) be the first derivative of -f**6/6 + 3*f**5 - 41*f**4/2 + 66*f**3 - 205*f**2/2 + 75*f + 688. Factor a(m).
-(m - 5)**2*(m - 3)*(m - 1)**2
Let q = -211 - -214. Find t, given that 3/4*t**q - 3/4*t**4 + 3/4*t**2 - 3/4*t + 0 = 0.
-1, 0, 1
Let i(z) be the first derivative of 2*z**5/35 - 29*z**4/7 + 598*z**3/7 - 232*z**2 + 224*z - 307. Factor i(p).
2*(p - 28)**2*(p - 1)**2/7
Suppose 6 = 5*k + 26. Let o be k/(0 + 12/(-8)). Determine u, given that 0*u - 2/3*u**3 - o*u**4 + 0*u**2 + 0 - 2*u**5 = 0.
-1, -1/3, 0
Let b(i) be the second derivative of i**5/80 - 5*i**4/48 + i**3/3 - i**2/2 + 28*i + 1. Factor b(o).
(o - 2)**2*(o - 1)/4
Let y = 252 + -249. Let s(n) be the third derivative of 1/84*n**7 + 1/8*n**5 + 5/12*n**4 + y*n**2 + 0 - 1/12*n**6 + 0*n - 5/3*n**3. Find d such that s(d) = 0.
-1, 1, 2
Let t = 1693 - 1686. Let j(l) be the third derivative of 1/315*l**t + 0 + 0*l**3 - 1/1512*l**8 - 1/180*l**6 + 1/270*l**5 + 3*l**2 + 0*l**4 + 0*l. Factor j(y).
-2*y**2*(y - 1)**3/9
Let s = -76 + 89. Let a = 13 - s. Let 6/7*g + a + 2/7*g**2 = 0. What is g?
-3, 0
Suppose 2*x = -5*c - 283, -733 = -7*x + 12*x + 4*c. Let r = x + 151. Determine w, given that 0 - 5/3*w**5 - w**4 - 2/3*w + 7/3*w**3 + w**r = 0.
-1, 0, 2/5, 1
Factor 4 - q + 5*q**2 - 17*q**2 + q**3 + 8*q**2.
(q - 4)*(q - 1)*(q + 1)
Let s(i) be the second derivative of i**8/140 + 2*i**7/21 + 13*i**6/30 + 3*i**5/5 + 7*i**3/3 + 2*i - 8. Let q(g) be the second derivative of s(g). Factor q(o).
4*o*(o + 3)**2*(3*o + 2)
Factor -16*d**3 - 21628 + 21628 - 4*d**4.
-4*d**3*(d + 4)
Suppose r - 4 = -j, -5*j + 28 = -r - 2*r. Determine h so that 34*h + j*h**2 - 40*h - 2*h**2 = 0.
0, 2
Suppose -10*h - 2*h + 24 = 0. Suppose -n = -4*n - h*n. Find z, given that -z + n + 1/2*z**2 = 0.
0, 2
Let j = -98 - -188. Suppose -8*x = -149 + 125. Determine g so that -g + 21*g**4 + 129*g**2 + j*g**x + 20*g + 53*g + 12 = 0.
-2, -1, -2/7
Suppose -h - 3 = -x, -4*h = -321*x + 318*x + 10. Factor -16/3 - 1/3*o**x - 8/3*o.
-(o + 4)**2/3
Let g = -3/185 - -397/1665. Let j(y) be the first derivative of -1/3*y**2 - 4 - 4/3*y + g*y**3. Factor j(c).
2*(c - 2)*(c + 1)/3
Find n such that 0 + 0*n**2 + 14/15*n**5 + 8/15*n**3 + 32/15*n**4 + 0*n = 0.
-2, -2/7, 0
Let n be (-1 + (-354)/(-345))*(7 + -5). Let x = n + 164/1265. Factor 0 + 4/11*l - x*l**2.
-2*l*(l - 2)/11
Let q(v) be the second derivative of v**7/2100 - v**6/300 + v**5/100 - v**4/60 - 13*v**3/6 + 6*v. Let o(h) be the second derivative of q(h). Factor o(g).
2*(g - 1)**3/5
Let j(z) be the second derivative of -z**4/24 - 9*z**3/4 + 7*z**2 - 175*z. Factor j(c).
-(c - 1)*(c + 28)/2
Suppose 3*n = n + 4. Let g be (16/(-10))/(10/(-25)). Factor -n*k + 2*k**2 - 1 + g*k**2 + 0 - 3*k**2.
(k - 1)*(3*k + 1)
Let r(k) = 4*k**2 - 11*k + 3. Let f be r(3). Let m(z) be the second derivative of 5*z + 1/42*z**4 + 0*z**2 + 0 + 0*z**3 + 1/105*z**f + 1/35*z**5. Factor m(j).
2*j**2*(j + 1)**2/7
Let k be ((-8)/(-12))/(6/9). Let v be (-2*k)/(8/(-28)). Factor -d - 2*d - 2 + v*d - 2*d**2.
-2*(d - 1)**2
Let l = -1 - -3. Let f be 5 + -3 + -1 + l. Suppose 2*z**3 - 1 + 0*z - 3*z + z**5 + 0*z**3 - 5*z**2 + 3*z**2 + f*z**4 = 0. What is z?
-1, 1
Let s be 0/(-3)*(-15)/(-45). Factor -1/2*h**5 - 1/2*h**4 + 0 + 0*h**2 + s*h**3 + 0*h.
-h**4*(h + 1)/2
Let v be ((-2)/9)/((-125)/1350). Factor 6/5*m**2 + 8/5 + v*m + 1/5*m**3.
(m + 2)**3/5
Let n(a) = 33*a**3 - 2154*a**2 + 2802*a - 930. Let v(k) = 32*k**3 - 2152*k**2 + 2805*k - 931. Let d(y) = 5*n(y) - 6*v(y). Find h such that d(h) = 0.
2/3, 78
Factor 10 + 2 + 4*c + 258*c**2 - 2*c - 260*c**2.
-2*(c - 3)*(c + 2)
Let o(d) = 4*d**2 + 17*d - 8. Let u(t) = -2*t**2 - 8*t + 4. Let x(n) = 6*o(n) + 13*u(n). Let x(r) = 0. What is r?
-2, 1
Let k(p) = -p**3 + 3*p**2 - 5*p + 7. Let b be k(2). Let y(w) = -w**2 - 1. Let n(c) = -5*c**2 - c - 8. Let f(s) = b*n(s) - 6*y(s). Factor f(i).
(i - 2)*(i + 1)
Let m = 33833/38680 + 3/9670. Determine p, given that 21/8*p**2 - 1/4*p**3 - m*p**4 + 1/2 + 5/2*p = 0.
-1, -2/7, 2
Factor 1/6*n**4 + 8/3*n**3 + 0*n*