88/3*r**2 - 56*r**q.
-(r + 2)**2*(7*r - 2)**2/3
Let p(x) = -x**3 + 7*x**2 + 7*x + 11. Let u be p(8). Let m be (-5)/u*(-6)/15. Factor 0 - 2/3*w - m*w**2.
-2*w*(w + 1)/3
Let z(y) = -32*y**2 + 104*y - 112. Let p(h) = -h**3 + 33*h**2 - 105*h + 111. Let f(v) = 4*p(v) + 3*z(v). Factor f(o).
-4*(o - 3)**3
Suppose 17*d = 16*d. Let g(n) be the second derivative of -1/147*n**7 + d*n**3 + 0*n**4 - 3*n + 0 + 0*n**2 + 2/105*n**6 - 1/70*n**5. Factor g(w).
-2*w**3*(w - 1)**2/7
Let m(b) = b - 2. Let c be m(4). Let h(i) be the third derivative of 2/21*i**4 - 1/42*i**5 + 4/21*i**3 + 0 + 0*i + c*i**2. Factor h(r).
-2*(r - 2)*(5*r + 2)/7
Factor -15*z**3 + 3*z**4 + 115*z**2 - 136*z**2 + 15*z + 18 + 0*z**4.
3*(z - 6)*(z - 1)*(z + 1)**2
Let s(m) be the third derivative of 5*m**8/588 - 34*m**7/735 + m**6/10 - 11*m**5/105 + m**4/21 + 3*m**2. Let s(c) = 0. What is c?
0, 2/5, 1
Let a(p) be the first derivative of p**3/3 + 12*p**2 + 144*p + 50. Factor a(g).
(g + 12)**2
Let b(d) be the first derivative of -d**8/1176 - d**7/735 + d**6/420 + d**5/210 - d**2 - 1. Let r(t) be the second derivative of b(t). Factor r(l).
-2*l**2*(l - 1)*(l + 1)**2/7
What is x in 8*x**5 - 5*x**5 - x**5 + 2*x + 8*x**4 + 8*x**2 + 12*x**3 = 0?
-1, 0
Let j be (2*9)/(21/14). Find b, given that 3*b**5 + j*b**3 - 4*b**2 + b**2 - 3*b**3 - 9*b**4 = 0.
0, 1
Let y(f) be the first derivative of 0*f**2 + 1 - 1/18*f**4 + 1/9*f**3 - f. Let w(c) be the first derivative of y(c). Factor w(m).
-2*m*(m - 1)/3
Let t be (10/4 + -3)*-12. Let v = 10 - t. Factor 0*g + 0*g**2 + 1/2*g**v - 1/2*g**3 + 0.
g**3*(g - 1)/2
Suppose 2*o + 4*c + 3 - 25 = 0, 0 = 3*c - 9. Factor 7*x**5 - 6*x**3 - x - 4*x**o + 4*x.
3*x*(x - 1)**2*(x + 1)**2
Suppose 4*c = -6 + 58. Factor -3*d + 6 - 19 + c - 9*d**2.
-3*d*(3*d + 1)
Let c(v) = -v**2 - 8*v - 7. Let d be c(-6). Suppose -l + d*l = 8. Factor 4*y - 7 - 4*y**l + 7 - 14*y**2.
-2*y*(9*y - 2)
Let b(o) be the third derivative of -1/21*o**7 + 0 + 1/30*o**6 + 0*o**5 + 0*o + 0*o**4 + 0*o**3 + 2*o**2. Determine t, given that b(t) = 0.
0, 2/5
Factor 3/2*r**3 + 3 + 0*r**2 - 9/2*r.
3*(r - 1)**2*(r + 2)/2
Factor -3*z - 3*z**2 + 54 - 54.
-3*z*(z + 1)
Factor 4/7 - 6/7*a**2 + 2/7*a.
-2*(a - 1)*(3*a + 2)/7
Let u(r) be the second derivative of 1/18*r**4 + 0 - 2*r - 1/126*r**7 + 5/18*r**3 + 1/3*r**2 - 1/15*r**5 - 2/45*r**6. Solve u(k) = 0.
-2, -1, 1
Let n(k) = 4*k**5 - 23*k**4 + 23*k**3 + 11*k**2 - 3*k + 3. Let z(d) = -3*d**5 + 22*d**4 - 24*d**3 - 12*d**2 + 4*d - 4. Let a(h) = 4*n(h) + 3*z(h). Factor a(i).
i**2*(i - 2)**2*(7*i + 2)
Let f(o) be the first derivative of 4/27*o**3 + 3/2*o**2 + 3 + 1/27*o**4 + 1/270*o**5 + 0*o. Let u(z) be the second derivative of f(z). Solve u(s) = 0 for s.
-2
What is o in 3*o**5 + 36*o**2 + 28*o**4 - 64*o**3 + 4*o**3 + 8*o**5 - 15*o**5 = 0?
0, 1, 3
Let s(r) be the first derivative of -7*r**6/2 - 8*r**5/5 + 25*r**4/4 + 8*r**3/3 - 2*r**2 - 22. Solve s(y) = 0 for y.
-1, -2/3, 0, 2/7, 1
Let v be (-7)/(-12)*(-5)/(-35). Let w(d) be the third derivative of -1/40*d**5 + 0*d - v*d**3 + 0 + 1/12*d**4 - d**2. Find g, given that w(g) = 0.
1/3, 1
Let v be -14*(-1 + 15/21). Let g be (-10*(-2)/v)/3. Factor -2/3 + g*c**2 + c.
(c + 1)*(5*c - 2)/3
Let q(j) = -5*j**4 + j**3 - 2*j**2 - 4*j + 4. Let f(x) = -4*x**4 + x**3 - x**2 - 3*x + 3. Let a(t) = -4*f(t) + 3*q(t). Factor a(b).
b**2*(b - 2)*(b + 1)
Let p(o) be the third derivative of -o**8/2240 + o**6/80 + o**5/20 - o**4/3 - 7*o**2. Let i(c) be the second derivative of p(c). Factor i(x).
-3*(x - 2)*(x + 1)**2
Let w = 3 - 0. Suppose 4*n = -0*l - w*l, -l = -n. Determine p, given that l + 1/3*p + 1/3*p**2 = 0.
-1, 0
Let i be 1 - 1/(9/(-15)). Let 2/3*d**2 - i*d + 8/3 = 0. Calculate d.
2
Let w(z) be the first derivative of 3*z**5/35 + 9*z**4/28 + 3*z**3/7 + 3*z**2/14 + 19. Factor w(a).
3*a*(a + 1)**3/7
Let b(k) be the second derivative of -k**7/210 - k**6/40 - 2*k**2 + 2*k. Let w(h) be the first derivative of b(h). Factor w(x).
-x**3*(x + 3)
Suppose -4*x = 3*i + 14, 5*x = -i + 2*x - 13. Find y, given that 0 + 0*y - 1/3*y**3 + 1/6*y**4 + 1/6*y**i = 0.
0, 1
Suppose 0 = -10*r + 5*r. Suppose z = -r*z. Factor 8/7*i**4 + 2/7*i**5 + 12/7*i**3 + z + 8/7*i**2 + 2/7*i.
2*i*(i + 1)**4/7
Solve 24/11*l**4 - 2*l**3 + 6/11*l + 2/11*l**2 - 8/11*l**5 - 2/11 = 0 for l.
-1/2, 1/2, 1
Let h(r) = -4*r**4 + 3*r**3 + 4*r - 3. Let t(u) = 7*u**4 - 6*u**3 + u**2 - 7*u + 5. Let o(z) = 5*h(z) + 3*t(z). Find g, given that o(g) = 0.
0, 1
Let k = -3/4 - -13/12. Let l(x) = -x**3 + 5*x**2 + 7*x - 3. Let b be l(6). Factor 0*c + 0*c**4 - k*c**5 + 0*c**2 + 0 + 1/3*c**b.
-c**3*(c - 1)*(c + 1)/3
Suppose 0*u - 3*u - n = -69, 3*n = 3*u - 69. Let g = u - 20. Factor -7/5*c + 3/5*c**5 - 2/5 + 8/5*c**4 - 6/5*c**2 + 4/5*c**g.
(c - 1)*(c + 1)**3*(3*c + 2)/5
Suppose 3*k = k + g + 4, 2*g - 24 = -4*k. Let d(m) be the third derivative of 1/180*m**5 + 0*m + 0 + 2/9*m**3 - m**2 + 1/18*m**k. Let d(p) = 0. Calculate p.
-2
Let q(t) = 2*t**2 + t + 5. Let p(h) = 4*h**2 + 3*h + 9. Let g(x) = -3*p(x) + 5*q(x). Find i such that g(i) = 0.
-1
Suppose 3*n = 4*o - 12, 3*n = 5*o - 4*o - 3. Solve 2/9*g**o - 2/3*g**2 + 4/9*g + 0 = 0.
0, 1, 2
Solve 4*a**5 + 14*a**4 - 18*a**3 + a**4 + 6*a**3 - 7*a**4 = 0 for a.
-3, 0, 1
Suppose o - 4*x = 9 + 10, 0 = -4*x - 16. Let -2/9*m**5 + 2/9*m**o + 0*m + 0 + 2/9*m**2 - 2/9*m**4 = 0. Calculate m.
-1, 0, 1
Let g(j) be the second derivative of j**5/4 + 5*j**4/12 - 5*j**3/6 - 5*j**2/2 + 31*j. Factor g(h).
5*(h - 1)*(h + 1)**2
Let b(a) = 5*a**4 - 3*a**3 - 2*a**2 - 2*a + 2. Let j(y) = -25*y**4 + 14*y**3 + 11*y**2 + 11*y - 11. Let x(m) = -11*b(m) - 2*j(m). Solve x(u) = 0 for u.
0, 1
Let w(b) be the third derivative of b**8/84 + 4*b**7/105 - b**6/30 - 2*b**5/15 - 2*b**2. Solve w(f) = 0 for f.
-2, -1, 0, 1
Let u(v) be the third derivative of -1/300*v**6 + 0 - 1/150*v**5 + 1/1680*v**8 - 2*v**2 + 0*v + 1/30*v**3 + 1/1050*v**7 + 1/120*v**4. Factor u(a).
(a - 1)**2*(a + 1)**3/5
Let 0*d - 2/3*d**2 + 1/3*d**3 + 0 = 0. What is d?
0, 2
Solve 6/7*r + 0 - 2/7*r**2 = 0 for r.
0, 3
Let u(x) = x**2 - 8*x. Let o be u(8). Suppose o*l + 12 = 3*l. Suppose 2 + 3*i**l - 12*i**2 + 11*i - i**4 - 16*i + 2*i**4 - i**3 = 0. Calculate i.
-1, 1/4, 2
Let n(x) be the second derivative of 2*x**7/21 - 2*x**6/5 + 2*x**5/5 + 2*x**4/3 - 2*x**3 + 2*x**2 + 7*x. Determine s so that n(s) = 0.
-1, 1
Let y(b) = b - 8. Let l be y(10). Let d be -1 + 5 + l + -2. Let 9/5*x**3 - 3/5*x**d + 3/5*x + 0 - 9/5*x**2 = 0. Calculate x.
0, 1
Suppose 3*l - 3 = 12. Factor 7*q + l*q - 6*q**4 - 86*q**2 + 2*q**5 + 98*q**2 - 9*q**3 + q**5.
3*q*(q - 2)**2*(q + 1)**2
Determine f, given that 0 + 1/3*f**3 + f**2 + 2/3*f = 0.
-2, -1, 0
Let o(m) = -m**2 + 2*m + 3. Let v be o(0). Suppose v*h = -5*c, -4 = -3*h - 19. Factor -686/11*l**4 - 588/11*l**c + 0 - 16/11*l - 168/11*l**2.
-2*l*(7*l + 2)**3/11
Let x(h) be the first derivative of h**6/33 + 4*h**5/55 + 23. Factor x(y).
2*y**4*(y + 2)/11
Let s be 1/1 + 56/8. Let 2 - s*c**2 - c**2 - 3*c + 10*c**2 = 0. Calculate c.
1, 2
Let d(f) be the second derivative of 2/5*f**4 + 64/5*f**2 + 3*f + 0 - 16/5*f**3 - 1/50*f**5. Factor d(k).
-2*(k - 4)**3/5
Suppose 4*b**2 - 144*b + 8*b**2 + 15*b**2 - 3*b**2 - b**3 = 0. What is b?
0, 12
Suppose u - 16 = 2*u. Let z be (-5)/2*u/20. What is q in 1/2*q**z + 1/2 + q = 0?
-1
Suppose -2*m - 2*x + 32 = 0, -2*x + x = 4. Let r = 102/5 - m. Factor -1/5*z**2 + r*z + 0.
-z*(z - 2)/5
Let d(t) be the first derivative of -5*t**4/3 - 128*t**3/9 - 38*t**2 - 24*t - 1. Suppose d(n) = 0. What is n?
-3, -2/5
Let q(l) = -l**2 + l. Let h(t) = -t**3 - 2*t**2 + 3*t - 4. Let i be h(-3). Let s(j) = -5*j**2 + 10*j - 9. Let m(v) = i*q(v) + s(v). Factor m(k).
-(k - 3)**2
Let p = 93 + -90. Let a(m) be the third derivative of 0*m**5 + 0 + 0*m + p*m**2 + 1/330*m**6 + 1/1155*m**7 - 1/33*m**3 - 1/66*m**4. Factor a(b).
2*(b - 1)*(b + 1)**3/11
Let n = -56/3 - -20. Factor n*w**3 + 0 + 0*w + 0*w**2 - 2/3*w**4.
-2*w**3*(w - 2)/3
Suppose 3*z + z = 0. Factor -3*b**3 - 2*b - 2*b**3 + z*b**2 + 0*b**2 + 7*b**2.
-b*(b - 1)*(5*b - 2)
Let t(c) = c**5 - 9*c**3 + 8*c**2 - 2*c - c**5 - 6*c + c**5. Let a(v) = v**3 - v**2 + v. Let z(f) = 24*a(f) + 3*t(f). Determine o so that z(o) = 0.
-1, 0, 1
Let i = -214 - -214. Factor 2/3*k**2 - 1/3*k**3 + i - 1/3*k.
-k*(k - 1)**2/3
Solve -6*y**2 + 2*y**4 - 5*y**4 + 6*y**4 + 3 = 0 for y.
