-z*c**2 - 1/2 - 3/4*c.
-(c + 1)*(c + 2)/4
Let w(d) be the third derivative of d**5/30 - d**4/12 - 9*d**2. Suppose w(q) = 0. Calculate q.
0, 1
Let y(c) be the third derivative of -1/210*c**7 + 0*c**3 + 0*c + 0 + 1/60*c**6 - 5/168*c**8 + 0*c**4 + 0*c**5 + 8*c**2. Find w, given that y(w) = 0.
-1/2, 0, 2/5
Let a(u) be the first derivative of u**7/700 - u**6/450 - 7*u**5/300 - u**4/30 - 4*u**3/3 - 4. Let s(l) be the third derivative of a(l). Solve s(x) = 0 for x.
-1, -1/3, 2
Suppose 5 - 1 = g. Determine o, given that -2*o + g*o**3 - o - 5*o + 5*o**2 - o**2 = 0.
-2, 0, 1
Let s(c) = -c**3 + 4*c**2 + 5*c + 2. Let z be s(5). Let -25*o**z - 3*o**2 - 4*o - 20*o**3 - 4*o = 0. Calculate o.
-1, -2/5, 0
Let q(r) be the first derivative of r**6/120 - r**5/40 - 2*r**3/3 + 4. Let w(h) be the third derivative of q(h). Factor w(a).
3*a*(a - 1)
Let y be (-1 - -1)/(8/8). Factor 2/3*k**2 + y + 0*k - 2/3*k**3.
-2*k**2*(k - 1)/3
Factor 21*t - 3*t**5 - 18*t**3 + 22*t**4 - 7*t**4 + 16*t**2 - 9 - 22*t**2.
-3*(t - 3)*(t - 1)**3*(t + 1)
Suppose 0*u = -3*u + 6. Factor c - 2*c**5 + 0*c**2 - 3*c**4 + c**4 + c**5 + u*c**2.
-c*(c - 1)*(c + 1)**3
Let z(v) be the second derivative of v**5/4 - 5*v**4/12 - 40*v**3/3 - 50*v**2 + 20*v. Factor z(f).
5*(f - 5)*(f + 2)**2
Let v(g) be the second derivative of -g**7/21 - 4*g**6/15 - 2*g**5/5 + g**4/3 + 5*g**3/3 + 2*g**2 - 13*g + 2. Determine f, given that v(f) = 0.
-2, -1, 1
Let b(z) be the first derivative of -2*z**6/3 - 4*z**5/5 + 3*z**4 + 4*z**3/3 - 4*z**2 - 10. Let b(r) = 0. What is r?
-2, -1, 0, 1
Let m = -459 - -2302/5. Determine s so that -m*s**3 + 7/5*s - 2/5*s**2 + 2/5 = 0.
-1, -2/7, 1
Let z(m) be the first derivative of -m**4/18 - 2*m**3/9 - m**2/3 - 7*m + 1. Let b(l) be the first derivative of z(l). Determine c so that b(c) = 0.
-1
Suppose -5*u + u + 100 = 0. Let n = u - 25. Let n - 2/5*y**2 + 4/5*y = 0. Calculate y.
0, 2
Find g such that 3*g**3 - 28*g**3 - 45*g**4 - 5*g**2 + 55*g**3 = 0.
0, 1/3
Let q(o) be the second derivative of 3*o**6/10 - 3*o**5/10 + o**4/12 - 9*o. Factor q(r).
r**2*(3*r - 1)**2
Determine k, given that 10/11*k**3 + 0 - 4/11*k**5 + 0*k + 4/11*k**2 + 2/11*k**4 = 0.
-1, -1/2, 0, 2
Let n be 11/(-330)*(-3)/2. Let h(r) be the first derivative of 0*r**2 + 1/24*r**6 + 0*r**3 - 1/8*r**4 - n*r**5 + 0*r + 4. Factor h(m).
m**3*(m - 2)*(m + 1)/4
Suppose -3*a + 28 = 2*a + 4*h, -3*a - h + 14 = 0. Find c such that 0 - a*c**2 + 3 + c**2 = 0.
-1, 1
Let 0 - 4/9*a**2 - 1/9*a = 0. Calculate a.
-1/4, 0
Let r(n) be the second derivative of -n**8/1176 - 2*n**7/735 + n**5/105 + n**4/84 + n**2/2 + n. Let q(p) be the first derivative of r(p). Factor q(c).
-2*c*(c - 1)*(c + 1)**3/7
Suppose -o - 3*q = o + 13, 2*q = 2. Let c be 6/o*(-32)/42. Determine p, given that c*p**5 - 2/7*p**2 + 0*p - 10/7*p**4 + 8/7*p**3 + 0 = 0.
0, 1/2, 1
Let o(t) be the first derivative of -t**6/21 + 4*t**5/35 - 4*t**3/21 + t**2/7 + 23. Solve o(g) = 0.
-1, 0, 1
Factor 2/13*i**4 + 0*i + 2/13*i**2 + 0 + 4/13*i**3.
2*i**2*(i + 1)**2/13
Let v(p) = -3*p**2 - 4*p - 9. Let d(o) = -o**2 + o**2 + 6*o - 5*o - o**2. Let a(c) = -2*d(c) + v(c). Determine z so that a(z) = 0.
-3
Let z(v) be the first derivative of -3 + 0*v - 3/2*v**2 + v**3. Factor z(c).
3*c*(c - 1)
Let y = -6 - -10. Factor -p**3 + 0*p**5 - 4*p**y - p**5 + 2*p**4.
-p**3*(p + 1)**2
Let g be 12/(-16)*24/(-13). Let h = g + -100/91. Let -2/7*n + 0 + h*n**3 - 2/7*n**2 + 2/7*n**4 = 0. Calculate n.
-1, 0, 1
Factor 1/3*w + 1/3 - 2/3*w**2 + 1/3*w**4 + 1/3*w**5 - 2/3*w**3.
(w - 1)**2*(w + 1)**3/3
Determine r, given that 0*r + 3*r**4 - 4*r**5 + 0*r + 4*r**3 - 7*r**4 + 4*r**2 = 0.
-1, 0, 1
Factor 1/3*w**3 - 4/3*w + 2*w**2 - 1/3*w**4 - 8/3.
-(w - 2)**2*(w + 1)*(w + 2)/3
Let m(n) = 6*n**2 - 21*n + 48. Let b(h) = h**2 + h. Let u(z) = -3*b(z) + m(z). Factor u(j).
3*(j - 4)**2
Let n(g) be the second derivative of g**5/80 - g**3/8 + g**2/4 + 6*g. What is w in n(w) = 0?
-2, 1
Let h(v) be the first derivative of 0*v**4 - 1/75*v**5 + 1/2*v**2 + 0*v + 1/300*v**6 + 0*v**3 - 2. Let x(j) be the second derivative of h(j). Factor x(d).
2*d**2*(d - 2)/5
Let s = 38 + -36. Factor 0 + 2/7*w**3 + 0*w - 2/7*w**s.
2*w**2*(w - 1)/7
Factor 6*a + 4*a**2 - 4*a**2 - 9 + 3*a**2.
3*(a - 1)*(a + 3)
Let g(p) be the first derivative of p**7/2940 + p**6/630 - p**5/105 - 2*p**4/21 + p**3 - 5. Let i(h) be the third derivative of g(h). Factor i(j).
2*(j - 2)*(j + 2)**2/7
Let c(l) = l**3 + l**2 + l + 1. Let q(f) = 3*f**3 - f**2 + 2*f + 2. Let a(b) = -2*c(b) + q(b). Find z such that a(z) = 0.
0, 3
Let j(y) = y - 6. Let b be j(8). Determine x, given that -b - 2*x**4 - 2*x**2 - 8*x - 9*x**2 - x**2 - 8*x**3 = 0.
-1
Solve 0 - 3*s + 3/4*s**2 = 0 for s.
0, 4
Let a(d) be the first derivative of 2*d**3/3 - 6*d**2 + 18*d + 17. Find y, given that a(y) = 0.
3
Let g(p) be the second derivative of 0 + p + 1/3*p**3 - 1/4*p**2 - 1/6*p**4. Factor g(w).
-(2*w - 1)**2/2
Let k = -99737/15 + 6652. Let f = k + -8/3. Solve -1/5*i**2 + 0 - f*i**3 + 2/5*i = 0.
-2, 0, 1
Suppose 0*s**2 + 8 + 5*s**2 + 2*s**2 - 5*s**2 - 8*s = 0. What is s?
2
Let -5*k**3 - 15*k**2 - 4*k**3 - 3*k - 7*k + 4*k**3 = 0. What is k?
-2, -1, 0
Let k(h) be the first derivative of -h**4/8 - h**3/3 - 1. Factor k(u).
-u**2*(u + 2)/2
Factor 3*j - 9*j**2 + 4*j**3 + 2*j**3 + 2*j**3 - 2*j**3.
3*j*(j - 1)*(2*j - 1)
Let t(l) = -9*l**4 - 9*l**3 - l**2 + 4*l. Let x(p) = 14*p**4 + 14*p**3 + 2*p**2 - 6*p. Let m(g) = -8*t(g) - 5*x(g). Find c, given that m(c) = 0.
-1, 0, 1
Let o(v) be the second derivative of 1/2*v**2 + 0 - 2*v - 1/24*v**4 + 1/12*v**3. Solve o(l) = 0 for l.
-1, 2
Suppose -o = -5*g + 18, 4*g - 22 = o - 8. Let m(x) be the second derivative of 0 - x + 1/30*x**4 - 2/5*x**o + 1/15*x**3. Determine t so that m(t) = 0.
-2, 1
Suppose 4*h = 36 - 28. Factor 1/4*g + 0 - 1/4*g**h.
-g*(g - 1)/4
Let m(b) be the second derivative of -b**5/4 - 5*b**4/4 + 10*b**2 - b + 5. Suppose m(v) = 0. What is v?
-2, 1
Let r(k) be the second derivative of k**6/11 - 17*k**5/110 + k**4/33 + 2*k. Factor r(d).
2*d**2*(d - 1)*(15*d - 2)/11
Let x = 5 - 4. Suppose 3 = 4*c - 9. Factor -6*g + g**2 + x + c + g**2.
2*(g - 2)*(g - 1)
Let o(y) be the third derivative of -y**7/840 + y**6/360 + y**5/120 - y**4/24 + y**3/2 - 3*y**2. Let m(l) be the first derivative of o(l). Factor m(j).
-(j - 1)**2*(j + 1)
Let q(t) be the first derivative of -t**4/2 + 2*t**3/3 + 5*t**2 + 6*t + 12. Factor q(a).
-2*(a - 3)*(a + 1)**2
Factor -1/3*y - 7/6*y**3 - 3/2*y**2 + 0.
-y*(y + 1)*(7*y + 2)/6
Let a(q) be the second derivative of -1/48*q**4 + 0 + 0*q**3 + 2*q + 0*q**2. Factor a(r).
-r**2/4
Let x be (2 + 0)/(-3 - -1). Let f(j) = -j**3 + j**2 - j + 1. Let k(h) = -h**4 - 7*h**3 + 6*h**2 - 6*h + 6. Let q(s) = x*k(s) + 6*f(s). What is m in q(m) = 0?
-1, 0
Let b(q) be the third derivative of q**8/448 + q**7/70 + 3*q**6/80 + q**5/20 + q**4/32 - 30*q**2. Factor b(j).
3*j*(j + 1)**4/4
Solve 18/7*p**3 + 9/7*p**5 - 3/7*p + 0*p**2 + 0 + 24/7*p**4 = 0 for p.
-1, 0, 1/3
Let b(u) be the second derivative of -u**5/10 - 5*u**4/6 - 8*u**3/3 - 4*u**2 + 20*u. Solve b(o) = 0 for o.
-2, -1
Suppose 0 = 4*n - 0 - 16. Factor 0*m**5 + 0*m**5 - 4*m**2 - 12*m**3 - 2*m**5 + 8*m + 6*m**5 + n*m**4.
4*m*(m - 1)**2*(m + 1)*(m + 2)
Let s be (6/4)/((-21)/(-28)). Factor 0*l**4 - 3*l**4 - s*l**2 + 2*l**4 - 3*l**3.
-l**2*(l + 1)*(l + 2)
Let u be -2*1 + 28/2. Suppose -4*a + 0*a = -u. Factor -j**2 + 1 + 1 - 2*j + a*j.
-(j - 2)*(j + 1)
Let t(b) be the second derivative of -b**7/4620 + b**6/396 - 2*b**5/165 + b**4/33 + b**3/2 + 3*b. Let u(w) be the second derivative of t(w). Factor u(h).
-2*(h - 2)**2*(h - 1)/11
Determine l, given that 1/2*l**2 - 5*l + 25/2 = 0.
5
Let -18*a**3 - a**5 - 2*a**5 + 33*a**3 - 18*a**3 + 6*a**4 = 0. Calculate a.
0, 1
Let c(h) = -17*h + 243. Let j be c(14). Let -32/3*f**2 - 8/3*f**4 + 8*f**3 + 16/3*f + 1/3*f**j + 0 = 0. What is f?
0, 2
Let t(b) be the third derivative of b**8/560 - 13*b**7/350 - 46*b**2. Suppose t(m) = 0. Calculate m.
0, 13
Suppose 3*c - 16 = -c. Let o = c + -2. Factor -4/7*y**3 + 4/7*y + 2/7*y**4 + 0*y**o - 2/7.
2*(y - 1)**3*(y + 1)/7
Suppose -3*i = -3*c - 24, 37 = 4*i + 5*c - 40. Factor 0 - i*t**3 + 10*t**2 + 4*t + 7/2*t**4.
t*(t - 2)**2*(7*t + 2)/2
Let y be -3 - 0 - 76/(-24). Let x(f) be the second derivative of 0 - 1/20*f**5 + y*f**3 + 1/2*f**2 - 1/12*f**4 - 2*