 1 + b - 2*s**2 + u.
-2*(s - 1)*(s + 1)
Suppose -3*w + 8*w = 15. Suppose v = 5*d - 10, 7*v = 4*d + 2*v - 8. Suppose 0 + 1/2*c**5 + 1/2*c**w + 0*c**d + 0*c + c**4 = 0. Calculate c.
-1, 0
Let m be (-8)/(9/((-9)/2)). Let x(y) be the third derivative of 1/20*y**6 + 0*y**m - 1/45*y**5 + 0*y - 1/45*y**7 + 0*y**3 + 0 - y**2. Factor x(d).
-2*d**2*(d - 1)*(7*d - 2)/3
Let s = 102 + -96. Let w(n) be the third derivative of 0*n + 0 - 1/30*n**5 - 2*n**2 - 1/210*n**7 - 1/40*n**s + 0*n**4 + 0*n**3. Let w(b) = 0. What is b?
-2, -1, 0
Let n = -18 + 18. Factor -1/2*b**2 + 1/4*b**4 + 0*b**3 + n*b + 1/4.
(b - 1)**2*(b + 1)**2/4
Let h = -466 - -270. Let k be (-2)/(-4) + (-574)/h. Factor -18/7*a - 10/7*a**3 + 4/7 + k*a**2.
-2*(a - 1)**2*(5*a - 2)/7
Let s(w) be the second derivative of -w**3/2 + 3*w**2/2 + 34*w. Let l(t) = 4 - 2*t + 1 - 2 - t**2. Let g(y) = -6*l(y) + 5*s(y). Solve g(d) = 0 for d.
-1/2, 1
Let w(f) be the third derivative of f**7/2520 - f**6/720 - f**5/60 + 5*f**4/24 + f**2. Let u(t) be the second derivative of w(t). Factor u(q).
(q - 2)*(q + 1)
Let i(b) be the third derivative of -b**5/30 - b**4/12 + 4*b**2. Factor i(h).
-2*h*(h + 1)
Factor -8/19 - 26/19*c**2 + 24/19*c + 12/19*c**3 - 2/19*c**4.
-2*(c - 2)**2*(c - 1)**2/19
Let n(k) = k**3 - 5*k**2 + 3. Let j be n(5). Factor -10*y**j - 24*y**3 - 4*y**3 - 18*y - 2*y**5 - 14*y + 50*y**2 + 8 + 14*y**4.
-2*(y - 2)**2*(y - 1)**3
Let v(x) = x**2 - 6*x. Let t(l) be the second derivative of -l**3/6 + 6*l. Let a(y) = 6*t(y) - v(y). Factor a(b).
-b**2
Let d(m) = 5 + 11*m - m**2 + 3*m**2 + 0. Let y(f) = -2*f**2 - 10*f - 6. Let h(q) = -2*d(q) - 3*y(q). Find g, given that h(g) = 0.
-2
Let m(k) be the third derivative of k**5/12 - 5*k**2. What is i in m(i) = 0?
0
Let f be 1/(-3) + (-13)/(-3). Factor -6*n - 28*n**2 - 15*n**f - 3*n**5 - 14*n**3 + 7*n**2 - 13*n**3.
-3*n*(n + 1)**3*(n + 2)
Let i = -31 - -24. Let a be 8/12 + i/15. Find p, given that -a*p**2 - 2/5 + 3/5*p = 0.
1, 2
Let d(c) be the third derivative of c**5/240 - c**4/48 - 6*c**2. Factor d(r).
r*(r - 2)/4
Factor 210/11*u**2 + 200/11*u**3 + 72/11*u + 8/11.
2*(4*u + 1)*(5*u + 2)**2/11
Let c = 476/1065 - 10/213. Factor 0*l**2 + c*l**3 + 0 - 2/5*l.
2*l*(l - 1)*(l + 1)/5
Suppose -v = -4 + 6. Let g = v + 3. Find u such that u**4 - 2*u**3 + 4*u - g - u**3 + 1 = 0.
-1, 0, 2
Let n = -274 + 11509/42. Let v(t) be the second derivative of 0 - n*t**7 - 2*t - 1/6*t**4 + 1/6*t**3 + 0*t**5 + 0*t**2 + 1/15*t**6. Factor v(z).
-z*(z - 1)**3*(z + 1)
Suppose -3*d - 18 = -i, 4*i + 4*d - 16 = 2*d. Let g be (i/(-18))/(2/(-8)). Factor 2/3*w**2 + 2*w + g.
2*(w + 1)*(w + 2)/3
Let h = -47 - -142/3. What is r in -1/3*r**4 + 0 + h*r**3 + 0*r**2 + 0*r = 0?
0, 1
Let p be (-4)/((-20)/12 - -1). Suppose p*b + 4*b + 5*b**2 + 4*b**2 + 1 - 4*b = 0. What is b?
-1/3
Let k(q) be the first derivative of 3/2*q**4 + 0*q + 2 + 2*q**3 + 2/5*q**5 + q**2. Solve k(z) = 0.
-1, 0
Let q = -108 + 108. Let u(w) be the first derivative of q*w**2 - 3 + 1/4*w - 1/12*w**3. Find f, given that u(f) = 0.
-1, 1
Let k(m) = m**3 + 3*m**2 - 6*m - 6. Let u be k(-4). Factor -14*a**3 + 7 - 27*a**u - 40*a + 9*a**2 - 18*a**2 - 2*a**4 - 23.
-2*(a + 1)*(a + 2)**3
Let m(p) be the first derivative of -2*p**3/27 - 2*p**2/3 - 2*p - 1. Factor m(u).
-2*(u + 3)**2/9
What is x in 1 - 2*x**3 + 6*x + 0*x - 4*x - x**4 = 0?
-1, 1
Suppose -5*q + 4*k = -17, 6*k = -q + 2*k + 13. Factor -q*j**2 + 4*j**3 - j**2 - 1 + 3.
2*(j - 1)**2*(2*j + 1)
Let j = 6 - 3. Let d(y) = y**3 + 5*y**2 + 2*y - 5. Let r be d(-4). Factor -j*l**2 - 4*l**r - 3*l**2 + 3*l**2 + l.
-l*(l + 1)*(4*l - 1)
Let g(m) be the first derivative of m**6/90 + m**5/30 - m**3/9 - m**2/6 - 8*m - 5. Let i(a) be the first derivative of g(a). Solve i(y) = 0.
-1, 1
Let t be (81/(-5))/(-3) + 8/(-20). Factor 0 - 1/3*c**2 + 1/3*c**4 - 1/3*c**3 + 1/3*c**t + 0*c.
c**2*(c - 1)*(c + 1)**2/3
What is j in -2/3*j**2 - 10*j - 28/3 = 0?
-14, -1
Let x be ((-296)/24)/(2/3). Let f = x + 19. Determine z so that -z - 1/4*z**4 + 2*z**3 + f*z**2 - 1/4 - z**5 = 0.
-1, -1/4, 1
Let x(t) = 6*t**5 + 2*t**4 - 2*t**3 + 6*t**2 - 6*t. Let c(i) = i**5 - i**2 + i. Let r(a) = -6*c(a) - x(a). What is q in r(q) = 0?
-1/2, 0, 1/3
Let o(q) be the second derivative of 2*q**2 - q + 0*q**4 + q**3 + 0 - 1/10*q**5. Determine l, given that o(l) = 0.
-1, 2
Let l(r) be the third derivative of -r**2 - 1/3*r**3 + 1/60*r**5 + 1/24*r**4 + 0 + 0*r. Let l(i) = 0. Calculate i.
-2, 1
Let u = 50 + -47. Let g(x) be the first derivative of -3/8*x**2 + 3/16*x**4 + 2 - 1/4*x**u + 3/4*x. Factor g(q).
3*(q - 1)**2*(q + 1)/4
Let k(g) = -18*g**2 + 24*g - 8. Let m be -9*1*1/(-3). Let p(q) = -54*q**2 + 72*q - 24. Let h(l) = m*p(l) - 8*k(l). Factor h(w).
-2*(3*w - 2)**2
Suppose -b - 4*b = 4*x - 13, -3*x = b - 7. Factor 4/7*g + 0 + 10/7*g**3 + x*g**2.
2*g*(g + 1)*(5*g + 2)/7
Let x(j) = -17*j**3 - 18*j**2 - 18*j - 6. Let r(g) = -9*g + 3*g - 2 - 5*g**2 - g**2 - 4*g**3 - 2*g**3. Let v(p) = -11*r(p) + 4*x(p). Let v(s) = 0. Calculate s.
-1
Let y(n) be the second derivative of 2/13*n**2 + 7/65*n**5 + 0 + 8/39*n**4 + 2/65*n**6 + 1/273*n**7 + 3/13*n**3 + n. Factor y(k).
2*(k + 1)**4*(k + 2)/13
Let v(a) be the third derivative of -a**5/30 - a**4/2 - 5*a**3/3 - 2*a**2 - 2*a. Factor v(l).
-2*(l + 1)*(l + 5)
Let c(t) be the second derivative of t**7/210 - t**5/60 - 3*t**2/2 + t. Let u(z) be the first derivative of c(z). Factor u(b).
b**2*(b - 1)*(b + 1)
Let z = -159 + 163. Let s(v) be the second derivative of 17/40*v**5 + 1/4*v**2 - 1/24*v**z + 4*v + 1/5*v**6 - 5/12*v**3 + 0. Let s(c) = 0. What is c?
-1, 1/4, 1/3
Let r(g) be the third derivative of g**7/105 + 4*g**2. Factor r(o).
2*o**4
Suppose 3*h - 6 = 3*q, -2*h + 4 = 4*q - 0*h. Factor q*s + 0 + s**3 + 1/2*s**4 + 1/2*s**2.
s**2*(s + 1)**2/2
Let h(u) be the second derivative of u**8/11200 - u**6/1200 + u**4/2 + u. Let r(v) be the third derivative of h(v). Factor r(d).
3*d*(d - 1)*(d + 1)/5
Suppose 3*t + 2*t = 105. Let z be ((-7)/t)/(4/(-6)). Factor 2*n**2 + z - 5/2*n.
(n - 1)*(4*n - 1)/2
Let w(k) be the second derivative of -k**6/10 + 3*k**5/20 + k**4/4 - k**3/2 + k. Determine u so that w(u) = 0.
-1, 0, 1
Let v be 7*(6/21 + 0). Let q(p) be the first derivative of 0*p + 2 + 7/2*p**4 + 8/5*p**5 - p**v + 4/3*p**3. What is t in q(t) = 0?
-1, 0, 1/4
Factor 5*m**2 + 4957 - 4957 - 55*m.
5*m*(m - 11)
Suppose 9*r = 12*r. Find j, given that 0*j**2 - 1/4*j**3 + 0*j + r + 1/4*j**4 = 0.
0, 1
Let w(r) be the third derivative of r**6/780 - r**5/390 - r**4/78 + r**2. Factor w(x).
2*x*(x - 2)*(x + 1)/13
Suppose -2*r = -g - g + 2, -r - 2*g + 11 = 0. Suppose -6 - 4*v**r + 2*v**4 + 2*v**2 + 6 = 0. Calculate v.
0, 1
Let c(i) = -i**3 + i**2 - i + 1. Let u(f) = -23*f**3 - 13*f**2 - 9*f + 5. Let a = 13 - 12. Let z(n) = a*u(n) - 5*c(n). Suppose z(k) = 0. What is k?
-2/3, -1/3, 0
Let w(s) = s**2 + 1. Let o(u) = 4*u**2 + 12*u - 31. Let f(a) = -3*o(a) + 15*w(a). Determine y so that f(y) = 0.
6
Let w be (2/(-18))/(1/(-6)). Suppose 0*j + 0 + 7/3*j**3 - 8/3*j**4 - w*j**2 + j**5 = 0. What is j?
0, 2/3, 1
Let j(u) be the second derivative of -u**5/10 - u**4/6 + 4*u**3/3 + 4*u**2 + 10*u. Factor j(w).
-2*(w - 2)*(w + 1)*(w + 2)
Let b(u) be the third derivative of 3/8*u**4 + u**3 + 0*u + 0 + 6*u**2 + 1/20*u**5. Find k, given that b(k) = 0.
-2, -1
Let s(j) be the first derivative of -4/5*j**5 - j - 3*j**4 - 13/3*j**3 - 2 - 3*j**2. Find b such that s(b) = 0.
-1, -1/2
Let l(r) = 16*r**4 - 28*r**3 + 4*r**2 - 24*r - 18. Let b(g) = -g**4 + g**3 - g**2 + g + 1. Let i(p) = -36*b(p) - 2*l(p). What is o in i(o) = 0?
-3, -1, 0
Let m(d) = 3*d**5 - 19*d**4 + 24*d**3 - 13*d**2 + 5. Let c(f) = 4*f**5 - 28*f**4 + 36*f**3 - 20*f**2 + 8. Let q(w) = -5*c(w) + 8*m(w). Solve q(p) = 0 for p.
0, 1
Let u(q) be the first derivative of 0*q + 2/9*q**2 - 2/27*q**3 + 7. Factor u(w).
-2*w*(w - 2)/9
Let t(r) be the third derivative of -r**8/504 + 29*r**7/1575 - 59*r**6/900 + 47*r**5/450 - 2*r**4/45 - 4*r**3/45 - 25*r**2. Solve t(w) = 0.
-1/5, 1, 2
Let p(o) = -3*o**2 - 2*o - 2. Let n(u) = 2*u**2 + 3*u + 3. Let v(w) = 2*n(w) + 3*p(w). Find t such that v(t) = 0.
0
Let g(l) be the third derivative of 0*l**5 + 0*l + 1/32*l**4 - 1/160*l**6 + 0 + 0*l**3 - 2*l**2. Factor g(a).
-3*a*(a - 1)*(a + 1)/4
Let u = 53/35 + 3/35. Factor -2/5 - 8/5*b**2 + u*b.
-2*(2*b - 1)**2/5
Suppose -k + 1