v + 24. Let k(c) = 6*j(c) - 10*p(c). Determine b so that k(b) = 0.
-2, 6
Let h be (-8)/(-20) - 42/5. Let f be ((-12)/(-8))/((-6)/h). Factor 5*a**4 - a**3 - f*a**4 - a**5 - a**4.
-a**3*(a - 1)**2
Let i = -8 - -13. Let m(x) be the third derivative of 0*x**3 + 0 + 1/150*x**i + 0*x + 2*x**2 - 1/30*x**4. Suppose m(u) = 0. What is u?
0, 2
Let c(p) be the second derivative of -p**7/168 + p**6/60 - p**5/80 - 26*p. Factor c(s).
-s**3*(s - 1)**2/4
Let g(j) = -j**3 + 6*j**2 + 6*j + 10. Let m be g(7). Let n = -8/19 - -100/57. Factor 8/3*h**m - n*h + 14/3*h**2 + 0.
2*h*(h + 2)*(4*h - 1)/3
Factor -1 - 2/3*h + 1/3*h**2.
(h - 3)*(h + 1)/3
Suppose -y - 5 = 0, 5*y - 2*y = -3*b - 12. Solve -4*x + 2 - 1 - 2*x**2 - b = 0.
-2, 0
Let q be 2/(-4 + 5) + (-24)/15. Find g, given that -12/5*g - 18/5 - q*g**2 = 0.
-3
Suppose y + 36 = 2*y. Let g be (30/(-35))/(y/(-56)). Suppose 8/3*q + 2*q**2 - 8/3 - g*q**3 - 2/3*q**4 = 0. What is q?
-2, 1
Let v(j) be the first derivative of -j**3/9 - j**2/3 + 8*j/3 + 19. Let v(r) = 0. What is r?
-4, 2
Let t(p) be the second derivative of 0*p**5 + 0*p**2 + 0 + 1/24*p**4 - 1/6*p**3 + p - 1/360*p**6. Let l(x) be the second derivative of t(x). Factor l(q).
-(q - 1)*(q + 1)
Let k(a) be the first derivative of a**7/525 - a**6/50 + 13*a**5/150 - a**4/5 + 4*a**3/15 + a**2 + 10. Let r(p) be the second derivative of k(p). Factor r(v).
2*(v - 2)**2*(v - 1)**2/5
Let y(v) be the first derivative of -1/30*v**6 + 0*v**4 - 3/25*v**5 + 0*v**3 + 4 + 0*v**2 + 0*v. Factor y(l).
-l**4*(l + 3)/5
Let l(w) be the third derivative of -1/168*w**8 + 0*w - 7*w**2 + 0 + 1/3*w**3 - 1/15*w**5 + 1/30*w**6 - 1/12*w**4 + 1/105*w**7. Factor l(k).
-2*(k - 1)**3*(k + 1)**2
Let j(w) = -3 + 0 + 5 - w + 0*w. Let m be j(2). What is q in m + 0*q**2 + 0*q - 4/9*q**4 + 0*q**3 + 2/9*q**5 = 0?
0, 2
Let t be 97*4/(-196) - -2. Let r = t - -45/196. Factor 1/4 - r*h**2 - 1/2*h**3 + 1/2*h.
-(h - 1)*(h + 1)*(2*h + 1)/4
Suppose 0 = -0*w - w - 5*k - 8, 4*w - 2*k - 12 = 0. Determine i, given that 3*i**w + 3*i**3 + 11*i**2 + 12*i - 2*i**2 = 0.
-2, 0
Let h be 36/54*(-9)/(-15). Solve h*w**2 - 2/5 + 2/5*w - 2/5*w**3 = 0 for w.
-1, 1
Let h(a) be the first derivative of 7/6*a**3 + 0*a - 4 - 1/2*a**2 + 3/10*a**5 - a**4. Determine f so that h(f) = 0.
0, 2/3, 1
Let q(n) = -8*n**2 + 3*n + 2. Suppose 5*y + 2*o = 60, 2*o + 2 + 8 = 0. Let u(a) = 17*a**2 - 6*a - 4. Let b(v) = y*q(v) + 6*u(v). Find x such that b(x) = 0.
-2/5, 1
Let u = 12/35 - -2/35. Let d(l) be the first derivative of 0*l - 1/2*l**4 + u*l**5 - 2 + 1/3*l**6 - 2/3*l**3 + 0*l**2. Determine i, given that d(i) = 0.
-1, 0, 1
Let j(y) = y**3 - 6*y**2 - 7*y + 3. Let h(b) = b**2 - 2. Let x be h(3). Let m be j(x). Solve -1 + 3*i - 2*i - i**m + 2 - i**2 = 0 for i.
-1, 1
Let s = 2/77735 - -1154914/233205. Let q = -30/7 + s. Factor -2/9*u**3 - 2/3*u + q*u**2 + 2/9.
-2*(u - 1)**3/9
Let y(b) be the first derivative of 0*b + 9/14*b**4 + 0*b**2 - 4/21*b**3 + 3. Find f, given that y(f) = 0.
0, 2/9
Let d(p) = 18*p**3 - 18*p**2 + 12*p + 18. Let r(k) = 5*k**3 + k**2 - 22*k**3 + 7*k**3 - k + 9*k**3 - 1. Let f(v) = -d(v) - 15*r(v). Let f(a) = 0. What is a?
-1, 1
Let x = 66 - 63. Let u(o) be the first derivative of 1/20*o**5 - 5/8*o**2 - 1/2*o + 1/16*o**4 - 2 - 1/4*o**x. Factor u(m).
(m - 2)*(m + 1)**3/4
Suppose 0 = -5*x + 9 + 1. Let w be x/4 + (-36)/(-8). Find p such that 2*p + w*p**2 + p**2 - 4*p**2 - 6*p**2 + 2*p**3 = 0.
0, 1
Let y(i) = -i - 3 - 2*i - i - 14*i**3 - 4*i**2 + 15*i**3. Let h be y(5). Let 0*r**h + 1/4*r + 0 + 0*r**4 - 1/2*r**3 + 1/4*r**5 = 0. What is r?
-1, 0, 1
Suppose 0 = 100*j - 102*j + 6. Let s(p) be the first derivative of -2/5*p**2 - j + 2/15*p**3 + 2/5*p. Factor s(k).
2*(k - 1)**2/5
Let g(b) = 10*b**4 + 7*b**3 + 9*b + 9. Let x(r) = r**4 + r**3 + r + 1. Let k(q) = 2*g(q) - 18*x(q). Solve k(z) = 0.
0, 2
Suppose 16 = -15*s + 19*s. Let y(f) be the first derivative of -2/5*f**5 - 1 - 1/2*f**s + 0*f + 1/3*f**6 + 2/3*f**3 + 0*f**2. Factor y(c).
2*c**2*(c - 1)**2*(c + 1)
Let c(t) = 10*t**5 - 4*t**4 + 4*t**3 + 4*t**2. Let q(a) = -3*a**5 + a**4 - a**3 - a**2. Suppose -3 = -2*d - 17. Let v(u) = d*q(u) - 2*c(u). Factor v(x).
x**2*(x - 1)*(x + 1)**2
Suppose -4*y + 0 = -2*t - 18, -t = 3*y - 1. Suppose -3*o = -y*o + 4*n - 19, -2*n = 4*o - 20. Let -2*x**2 + 8 - 7*x**2 + 3*x**2 - 2*x**o = 0. What is x?
-2, 1
Let q(v) = v**3 - v**2 - 1. Let i(z) = 2 - 11 + 11*z**3 - 3*z**2 + 0*z**2 - 6*z + z**3. Let p(j) = -i(j) + 6*q(j). Determine u so that p(u) = 0.
-1, -1/2, 1
Suppose -3 + 15*g**4 + 4*g**2 - 17*g**4 + 1 = 0. What is g?
-1, 1
Factor -q**4 - 545*q**2 - q**3 + 531*q**2 + 8*q**3 + 8*q.
-q*(q - 4)*(q - 2)*(q - 1)
Let x(a) be the second derivative of 9*a**6/80 + 3*a**5/4 + 7*a**4/4 + 2*a**3 - 3*a**2/2 + 2*a. Let w(q) be the first derivative of x(q). Solve w(y) = 0.
-2, -2/3
Let g(p) be the first derivative of -2*p**3/39 - 6*p**2/13 + 14*p/13 - 63. Factor g(c).
-2*(c - 1)*(c + 7)/13
Let p(z) be the first derivative of z**4/6 + 3. Solve p(y) = 0.
0
Suppose 0 = -2*v + 12 + 2. Factor -3*p + 2*p**3 + v*p**3 - p**2 + 7*p**2.
3*p*(p + 1)*(3*p - 1)
Let k(n) be the second derivative of -n**7/11340 + n**4/6 - 3*n. Let v(j) be the third derivative of k(j). Factor v(y).
-2*y**2/9
Let a(g) be the second derivative of 25*g**4/4 - 65*g**3/6 - 5*g**2 + 2*g. Factor a(x).
5*(x - 1)*(15*x + 2)
Let q(n) = 3*n**2 + 2. Let l = -4 - -3. Let s(x) = -x**2 - 1. Let f(i) = l*q(i) - 2*s(i). Let u(b) = b**3 + 3*b**2 + b. Let m(r) = -f(r) - u(r). Factor m(d).
-d*(d + 1)**2
Let h(t) = 3 + 2*t**3 - 3*t + 17*t**2 + 11*t - 2*t + 5*t. Let n(z) = z**3 + 9*z**2 + 6*z + 2. Let a(w) = -6*h(w) + 11*n(w). Factor a(f).
-(f - 1)*(f + 2)**2
Let g(t) be the third derivative of -t**8/2240 + t**7/840 - t**5/12 - 6*t**2. Let q(x) be the third derivative of g(x). Factor q(h).
-3*h*(3*h - 2)
Let x(l) be the third derivative of 2/1155*l**7 + 1/1848*l**8 + 0*l**4 + 0*l + 0*l**5 + 0*l**3 + 0 + 4*l**2 + 1/660*l**6. Factor x(s).
2*s**3*(s + 1)**2/11
Let r = 3854/5 - 770. Find u such that 0*u + 0 - 8/5*u**3 + r*u**2 + 8/5*u**5 - 4/5*u**4 = 0.
-1, 0, 1/2, 1
Let b(s) = s + 192. Let v be b(0). Let m be ((v/9)/(-2))/(-2). Factor m*n - 8/3 - 2*n**2.
-2*(n - 2)*(3*n - 2)/3
Let y(n) = n + 10. Let m be y(-9). Let -1 + g**3 + m - 2 - 3*g = 0. Calculate g.
-1, 2
Factor -8/11 + 12/11*d**3 - 26/11*d**2 + 24/11*d - 2/11*d**4.
-2*(d - 2)**2*(d - 1)**2/11
Let d(o) be the second derivative of o**7/49 + 2*o**6/105 - o**5/7 + o**3/3 - 2*o**2/7 - 10*o. Suppose d(n) = 0. Calculate n.
-2, -1, 1/3, 1
Let t = -116 - -120. Let h(l) be the third derivative of 0*l - 1/8*l**6 + 5/8*l**t + 4*l**2 + 0 + l**3 - 1/10*l**5. Solve h(n) = 0 for n.
-1, -2/5, 1
Let y be 37 - (1 + 2 - 2). Let d be ((-2)/12)/((-27)/y). Factor d*b**2 - 8/9*b**3 + 8/9*b - 2/9.
-2*(b - 1)*(b + 1)*(4*b - 1)/9
Determine z, given that 12/5 + 1/5*z**3 + 7/5*z**2 + 16/5*z = 0.
-3, -2
Let z(x) be the third derivative of -1/135*x**6 + 0 - 1/3*x**3 + 0*x - 2*x**2 + 1/36*x**4 - 1/60*x**5. Let b(d) be the first derivative of z(d). Factor b(m).
-2*(m + 1)*(4*m - 1)/3
Let p(n) be the first derivative of -n**5/100 + n**4/20 - n**3/10 + n**2/10 - 2*n + 2. Let g(w) be the first derivative of p(w). Factor g(k).
-(k - 1)**3/5
Let h be 2/12 - (-1 - -1). Let u(v) be the first derivative of -1/2*v**2 + 2/5*v**5 + 0*v + 0*v**4 + 2 - 2/3*v**3 + h*v**6. Suppose u(w) = 0. Calculate w.
-1, 0, 1
Let i(n) be the third derivative of n**5/75 + 2*n**4/15 + 2*n**3/5 + 6*n**2. Let i(w) = 0. What is w?
-3, -1
Suppose 2*m = 8 + 28. Let h be (-4 - -2)*(-16)/m. Find s such that 14/9*s**4 + h*s**2 - 38/9*s**3 + 0 + 8/9*s = 0.
-2/7, 0, 1, 2
Let m(k) = k**3 - k**2 + 4. Let b be m(0). Factor -22*t**2 + 2*t - 2*t**3 + t**b - 4 + 3 + 22*t**2.
(t - 1)**3*(t + 1)
Let -3*t**4 + 6 - 3/4*t**3 - 3/4*t**5 + 15*t + 21/2*t**2 = 0. Calculate t.
-2, -1, 2
Determine d, given that 5*d**2 - 6*d**3 - 8*d**4 + 5*d**4 - 8*d**2 = 0.
-1, 0
Let f be 4/14*49/84. Let w(j) be the second derivative of -f*j**4 + j**2 + 2*j + 0 + 0*j**3. Find d such that w(d) = 0.
-1, 1
Let y(a) = a**3 - 9*a**2 + 8*a + 2. Let n be y(8). Let c(z) = z**2 + 4*z + 2. Let j be c(-4). Factor 0 - 8*v - n*v**2 + 4*v - j.
-2*(v + 1)**2
Let o be (-8)/66*9/(-6). Factor -2/11*f + 0 - o*f**2 + 2/11*f**3 + 2/11*f**4.
2*f*(f - 1)*(f + 1)**2/11
Let c(r) be the third 