be 18*6/72*8/3. Let x(y) be the second derivative of 0 + 0*y**2 + 1/315*y**7 + 1/150*y**5 - 2/225*y**6 + 0*y**3 + 0*y**w + 7*y. Factor x(u).
2*u**3*(u - 1)**2/15
Let s(g) = 4*g - 55. Let t be s(13). Let u(k) = 6*k**2 - 3*k**2 - 1 - 4*k**2. Let h(m) = -2*m**2 + m - 2. Let l(c) = t*u(c) + 2*h(c). Factor l(o).
-(o - 1)**2
Factor -8/3*z**2 + 0*z + 2/3*z**5 - 4/3*z**4 + 0 - 14/3*z**3.
2*z**2*(z - 4)*(z + 1)**2/3
Let i(r) = r**3 + 16*r**2 + r + 9. Suppose 0 = 3*q + 61 - 34. Let z(x) = 8*x**2 + 4. Let u(s) = q*z(s) + 4*i(s). Determine m so that u(m) = 0.
0, 1
Factor f**2 - 2/3 - 1/3*f + 1/3*f**3 - 1/3*f**4.
-(f - 2)*(f - 1)*(f + 1)**2/3
Suppose 57*c = 26*c + 22*c. Suppose c - 5/6*d**2 - 5/6*d = 0. What is d?
-1, 0
Let r(z) = -z**3 + 12*z - 16. Let h be r(2). Factor -4/7*i**4 + h*i + 0*i**2 - 2/7*i**5 + 0 + 0*i**3.
-2*i**4*(i + 2)/7
Let z be (0 - ((-506)/(-34) + (-20)/(-170)))/(-7). Let 9/7*o - 3/7*o**4 - 3*o**2 + 0 + z*o**3 = 0. Calculate o.
0, 1, 3
Factor 1/6*f**2 - 17/2 - 25/3*f.
(f - 51)*(f + 1)/6
Let b(w) be the first derivative of 1/5*w**2 + 0*w + 1/15*w**3 - 34. Find o, given that b(o) = 0.
-2, 0
Suppose 0 = w - k - 3*k + 738, 0 = -3*w - 2*k - 2186. Let b = w - -5118/7. Find t such that -2/7*t - 4/7 + 4/7*t**3 + b*t**2 - 2/7*t**5 - 4/7*t**4 = 0.
-2, -1, 1
Factor 18/11*x + 4/11 + 2/11*x**5 + 12/11*x**4 + 28/11*x**3 + 32/11*x**2.
2*(x + 1)**4*(x + 2)/11
Suppose 31*s = 35*s - 20. What is z in -s + 10 - z**2 - 4 + 2*z**3 - 3*z**3 + z = 0?
-1, 1
Let q(f) = -f - 3. Let g be q(-6). Suppose 0 = -5*j + u + 13, -6*j + g*j = 2*u - 13. Factor 8*p + j*p**3 - 12*p**2 + 4*p + 0*p.
3*p*(p - 2)**2
Let w = -59 + 59. Let r(p) be the second derivative of 0*p**3 + w - 1/30*p**6 + 0*p**2 - 1/6*p**4 + 4*p + 3/20*p**5. Let r(v) = 0. Calculate v.
0, 1, 2
Let i = 241 + -2167/9. Let k = 31/19 + -203/171. Find j, given that -i*j**2 - 2/9 + k*j = 0.
1
Let j be 406/72 + (1 - (1 + 4)). Let y = -8/9 + j. Factor 3/4*n - 3/4*n**3 - y + 3/4*n**2.
-3*(n - 1)**2*(n + 1)/4
Let q(m) = m**3 + 6*m**2 - 3*m + 30. Let v be ((-14)/(-6))/((-42)/126). Let g be q(v). Factor -1/4*c**g + c - c**3 + 0 + 1/4*c**4.
c*(c - 4)*(c - 1)*(c + 1)/4
Suppose -4*p + 10 + 6 = 0. Let m be ((-1)/1)/(-2)*p. Determine j, given that -15*j - 4*j**m - 20*j + 31*j = 0.
-1, 0
What is k in 136/3*k + 4/3*k**2 + 1156/3 = 0?
-17
Let q be ((-555)/6)/((-6)/3). Let u = -46 + q. Let 0 + u*r + 1/2*r**2 + 1/4*r**3 = 0. Calculate r.
-1, 0
Let n = 586/5 + -8019/70. Let x = n - 8/7. Solve -1/2*q**3 - 3/2*q + x*q**2 + 1/2 = 0 for q.
1
Factor -4*w**4 - 813*w**2 - 524*w**2 + 132*w**3 - 223*w**2 + 27024*w - 19424*w - 12000.
-4*(w - 10)**3*(w - 3)
Let o(v) = 127*v - 5205. Let t be o(41). Factor 3*c - 9/2 + 3/2*c**t.
3*(c - 1)*(c + 3)/2
Let x be (-1)/(-1 + 2)*(16 - 18). Let u(j) be the first derivative of -4 - 3*j**2 + 2*j - 1/2*j**4 + x*j**3. Find y such that u(y) = 0.
1
Solve -2/3 + 1/9*f**2 + 1/9*f = 0.
-3, 2
Suppose 34 - 10 = 5*m + 4*z, z - 5 = -m. Find y, given that 3*y**3 - m*y**3 - y - 3*y**3 + 5*y**3 = 0.
-1, 0, 1
Let q(z) be the first derivative of 7 - 32/3*z**6 + 54*z - 3*z**3 + 49*z**4 - 135/2*z**2 - 48/5*z**5. Factor q(p).
-(p + 1)*(p + 2)*(4*p - 3)**3
Let g(a) be the first derivative of a**4/2 - 13*a**3/2 - 27*a**2/2 - 11*a/2 + 313. Factor g(m).
(m - 11)*(m + 1)*(4*m + 1)/2
Let b = 6 + -13. Let d = -3 - b. Suppose -2*h - 4*h + 83*h**d - 86*h**4 + 6*h**3 + 3*h**2 = 0. Calculate h.
-1, 0, 1, 2
Factor -1 - 2/3*b - 1/9*b**2.
-(b + 3)**2/9
Let w = -37 - 3. Let a = w + 40. Find s, given that 3/2*s + a - 3/4*s**2 = 0.
0, 2
Let t(g) be the first derivative of 5/3*g - 5/9*g**3 + 5/12*g**4 - 6 - 5/6*g**2. Factor t(x).
5*(x - 1)**2*(x + 1)/3
Let u = -14 - -14. Let v(m) be the third derivative of 0*m**3 - 1/210*m**7 - 5*m**2 + 0*m + 0*m**4 + u + 0*m**5 + 1/120*m**6. Factor v(y).
-y**3*(y - 1)
Let g be (6 + (-13)/(39/6))/2. Let a(q) be the first derivative of 40/3*q**3 + 3 - 18*q**g + 8*q - 3*q**4. Factor a(i).
-4*(i - 2)*(i - 1)*(3*i - 1)
What is g in -3 - 7 + g + 8*g**2 - 7*g**2 + 4*g - 2*g = 0?
-5, 2
Let t(j) be the first derivative of -j**5/20 + j**4/2 - 2*j**3 + 7*j**2/2 + 2. Let o(y) be the second derivative of t(y). Factor o(x).
-3*(x - 2)**2
Solve -667*j**3 - 665*j**3 - 40 + 1336*j**3 - 4*j + 40*j**2 = 0 for j.
-10, -1, 1
Let s(p) = p**3 - 3*p**2 - 6*p + 8. Let v be 0/(-2) - 3/((-3)/4). Let n be s(v). Factor n*m + 2/11*m**2 + 0.
2*m**2/11
Let a(p) be the third derivative of 2*p**7/105 - 17*p**6/30 + 26*p**5/5 - 16*p**4/3 - 256*p**3/3 + 4*p**2 - 12. Factor a(q).
4*(q - 8)**2*(q - 2)*(q + 1)
Let j(l) = -5*l**2 - 5*l + 10. Let t be ((-3)/21)/((-4)/28). Let f(r) = 0*r**2 - t - 2*r**2 + r**2 - r + 2. Let x(p) = -10*f(p) + j(p). Factor x(s).
5*s*(s + 1)
Let b = 2/38839 + 310702/194195. Suppose 2/5*q**4 - b*q**3 + 0 + 6/5*q**2 + 0*q = 0. What is q?
0, 1, 3
Let w = 3 - 1. Let j be (-2)/(-12) - (-1096)/48. Factor -36*v**2 + 4*v + j*v**w + 15*v**2.
2*v*(v + 2)
Let x = 51 + -47. Let w(j) be the first derivative of -3/2*j**x - 3/5*j**5 + 0*j + 0*j**2 + 2 + 0*j**3. Factor w(r).
-3*r**3*(r + 2)
Let k(t) = -t**2 - 47*t + 119. Let j(a) = -a**2 + 48*a - 121. Let m(c) = -3*j(c) - 2*k(c). Factor m(x).
5*(x - 5)**2
Suppose 22*h = h. Let z(p) be the second derivative of 1/66*p**4 - 4*p + 0*p**3 + h*p**2 + 0. Determine q so that z(q) = 0.
0
Let z(y) = -y**3 + 9*y**2 + 10*y - 7. Let r be z(10). Let w = -4 - r. Factor 8*i + w*i**2 + 4*i + 18 - i**2.
2*(i + 3)**2
Let k(a) be the first derivative of 1/60*a**5 - 1/8*a**2 - 1/48*a**4 + 3 + 0*a - 5/36*a**3. Determine d so that k(d) = 0.
-1, 0, 3
Let t(a) = 5*a**3 - 12*a**2 + 18*a - 7. Let r(b) = -b**3 + b**2 - 2*b + 1. Let x(w) = 6*r(w) + 2*t(w). Suppose x(y) = 0. Calculate y.
1/2, 2
Suppose -6*r = 89 - 101. Let l(g) be the second derivative of -1/10*g**3 + 0 - 1/20*g**4 + 0*g**r - 2*g. Solve l(a) = 0 for a.
-1, 0
Let w(l) be the first derivative of l**3/3 - 3*l**2 + 5*l - 183. Solve w(i) = 0.
1, 5
Suppose -16 = -6*p + 8*p. Let c = 19 + p. Determine d so that -c*d**3 + 3*d - 16 + 4*d + d**3 + 12*d**2 + d + 2*d**4 = 0.
-1, 2
Let p(s) be the first derivative of -18*s**3/5 - 342*s**2/5 - 2166*s/5 + 10. Factor p(f).
-6*(3*f + 19)**2/5
Suppose -21*b = -4*b - 68. Let m(t) be the third derivative of -3*t**2 + 0 + 1/270*t**5 + 1/108*t**b + 0*t + 0*t**3. Factor m(r).
2*r*(r + 1)/9
Find s, given that 3*s + 0 - 1/2*s**2 = 0.
0, 6
Suppose -279*b - 15 = -284*b. Let i(o) be the first derivative of 4/5*o**5 + 3/4*o**4 - 5/3*o**b + 4 + o - 3/2*o**2. Factor i(s).
(s - 1)*(s + 1)**2*(4*s - 1)
Let l be (315/(-840) - (-11)/40)/((-2)/5). Find r such that 1/2 + l*r**3 - 1/4*r - 1/2*r**2 = 0.
-1, 1, 2
Let s be ((-42)/9 - -6)*(-72)/(-16) - 1. Determine f, given that 3/4 - 3/2*f**3 - 9/4*f**4 + 3/2*f**2 + 9/4*f - 3/4*f**s = 0.
-1, 1
Suppose 18*z - 13*z = 25. Factor 28*p**3 - z*p + 33*p**3 - 5*p**2 + 24*p**3 - 25*p**3.
5*p*(3*p - 1)*(4*p + 1)
Let l(m) be the first derivative of 5*m**3/3 - 35*m**2/2 - 90*m + 106. Factor l(h).
5*(h - 9)*(h + 2)
Let n(c) = -c**2 + 18. Let v be n(-4). Suppose -v = 2*i - 6. Solve -1/2 + 1/4*l**3 - 3/4*l**4 + 3/4*l + 9/4*l**i = 0 for l.
-1, 1/3, 2
Suppose -23*a + 266 = -21*a. Suppose -127*q + a*q = 12. What is i in 3/2*i**q - 1 - 1/2*i = 0?
-2/3, 1
Let m be 11/(-55)*(-1)/156. Let a(g) be the third derivative of -1/195*g**5 + 2/39*g**3 - 7*g**2 + 0 + m*g**6 + 0*g - 1/156*g**4. Factor a(q).
2*(q - 2)*(q - 1)*(q + 1)/13
Let u(m) be the third derivative of m**8/1176 + 4*m**7/735 + m**6/140 - 2*m**5/105 - m**4/21 + 165*m**2. Let u(q) = 0. What is q?
-2, -1, 0, 1
Suppose 2*t = -173 - 137. Let d = t - -779/5. Suppose 2/5*n**4 + d*n + 0*n**2 - 2/5 - 4/5*n**3 = 0. Calculate n.
-1, 1
Let l(q) be the first derivative of q**6/7 - 92*q**5/35 - 83*q**4/14 - 68*q**3/21 - 400. Let l(y) = 0. Calculate y.
-1, -2/3, 0, 17
Solve -2/9*q**3 + 56/9 - 10/3*q**2 - 8/3*q = 0.
-14, -2, 1
Let z(x) be the second derivative of -x**5/40 + 7*x**4/24 - 5*x**3/6 + 26*x + 3. What is h in z(h) = 0?
0, 2, 5
Let b(r) be the third derivative of r**6/90 + r**5/15 - r**4 + 2*r**2 + 5*r. Factor b(g).
4*g*(g - 3)*(g + 6)/3
Suppose 0 = -r + 2*r - 6. Suppose 2 + r = 4*n. Factor -b**n + b**5 + b**3 - b**3 + 3*b**3 - 3*b**4.
b**2*(b - 1)**3
Let z(o) = -3*o + 4 + 0 - 1 + 4*o**3 - 4*o**2. Let u(n) = 28*n**3 - 28*n**2 - 20*n + 20. Suppose -2*j -