 1/2*w**4 + 2*w**3 = 0.
-1
Let b(s) be the first derivative of -2*s**5/55 + s**4/22 + 2*s**3/33 - s**2/11 + 11. Factor b(v).
-2*v*(v - 1)**2*(v + 1)/11
Let b be 20/(-28) + 0 + 1. Suppose -38*h + 41*h = 9. Factor 2/7 - 2/7*g**2 - 2/7*g**h + b*g.
-2*(g - 1)*(g + 1)**2/7
Let d = -5 + 10. Suppose 0 = -h + d*h. Factor -2/5*j**3 + 0 + 0*j + h*j**2 - 2/5*j**4.
-2*j**3*(j + 1)/5
Suppose 0*o + 3/5*o**2 + 0 = 0. What is o?
0
Suppose -f - v - 4 = -3, 0 = f - 4*v - 9. Let -f - 5*c**2 - 2 - 7*c**3 + 3 + 2*c = 0. What is c?
-1, 0, 2/7
Let t(c) be the third derivative of c**8/30240 - c**7/11340 - c**4/24 - 2*c**2. Let p(z) be the second derivative of t(z). Find u, given that p(u) = 0.
0, 1
Let j = 435 + -15659/36. Let h(y) be the third derivative of 1/9*y**3 + 0 + 1/180*y**6 - j*y**4 - 2*y**2 - 1/90*y**5 + 0*y. Factor h(x).
2*(x - 1)**2*(x + 1)/3
Factor 5*j**2 + 2*j**2 + 2*j**3 - 2*j**4 - 2*j + 0*j**2 - 5*j**2.
-2*j*(j - 1)**2*(j + 1)
Let f(a) be the third derivative of a**6/900 - a**5/100 + a**4/30 + a**3/2 - a**2. Let q(v) be the first derivative of f(v). Determine h, given that q(h) = 0.
1, 2
Let t(x) be the first derivative of -3*x**4/2 + 2*x**3/3 + 7*x**2 + 14*x - 4. Let f(y) = -2*y**3 + y**2 + 5*y + 5. Let z(a) = -8*f(a) + 3*t(a). Factor z(k).
-2*(k - 1)*(k + 1)**2
Let y(o) = -10*o**2 + 6*o + 4. Let b(u) = 9*u**2 - 6*u - 3. Let x(p) = -7*b(p) - 6*y(p). Suppose x(j) = 0. Calculate j.
1
Let r be (21/6 - 0 - 3)*4. Let d(o) be the third derivative of -1/336*o**8 + 0*o**5 + 0*o + 1/105*o**7 - r*o**2 + 0 + 0*o**6 + 0*o**3 + 0*o**4. Solve d(n) = 0.
0, 2
Let m(o) = -o**2 + o - 1. Let q(n) = 4*n**2 - 6*n + 4. Let i(l) = 2*m(l) + q(l). Factor i(x).
2*(x - 1)**2
What is h in 3/7*h**3 - 3/7*h - 9/7*h**2 + 9/7 = 0?
-1, 1, 3
Determine c so that -4*c**3 - 4 + 4 - 37*c - 4*c**2 + 45*c = 0.
-2, 0, 1
Let m(p) be the third derivative of 7*p**5/180 + 11*p**4/72 + 2*p**3/9 + 2*p**2. Solve m(z) = 0.
-1, -4/7
Let d be (0/(-2))/(2 + 3). Let a(b) be the first derivative of 2/15*b**3 + 0*b + d*b**2 + 1 + 2/25*b**5 - 1/5*b**4. Determine r so that a(r) = 0.
0, 1
Let b = 5 + -3. Let y(i) be the first derivative of 2/9*i + 1 - 2/9*i**b + 2/27*i**3. Determine l so that y(l) = 0.
1
Let b(f) = 4*f + 32. Let u be b(-8). Let q(x) be the second derivative of -1/36*x**4 - 2*x + u - 1/9*x**3 + 0*x**2. What is k in q(k) = 0?
-2, 0
Determine v so that -230 + 4*v**3 - 53 + 192*v + 27 + 60*v**2 = 0.
-8, 1
Let q(k) be the third derivative of -k**7/70 - k**6/20 - k**5/20 + 6*k**2. Factor q(w).
-3*w**2*(w + 1)**2
Let l(a) be the third derivative of -a**9/302400 + a**7/25200 + a**5/60 - 2*a**2. Let g(q) be the third derivative of l(q). What is t in g(t) = 0?
-1, 0, 1
Let n(b) be the first derivative of -1 - 3/22*b**4 - 2/11*b - 14/33*b**3 - 5/11*b**2. Find g, given that n(g) = 0.
-1, -1/3
Let m(f) be the third derivative of f**6/24 - f**5/12 - 5*f**4/24 + 5*f**3/6 + 3*f**2. Suppose m(x) = 0. What is x?
-1, 1
Factor 4*c**4 - c - 3*c**2 + c**3 + 2*c**2 + c**4 - 4*c**4.
c*(c - 1)*(c + 1)**2
Factor 2*q**2 - 8/3 + 0*q + 2/3*q**3.
2*(q - 1)*(q + 2)**2/3
Suppose -p + 1 - 9 = 0. Let w = p - -10. Factor 7*c**3 - 5*c**w + 6*c**2 + 3*c**4 + c**5 - 4*c**3.
c**2*(c + 1)**3
Let g(v) be the first derivative of -v**6/33 - 2*v**5/55 + 3*v**4/22 + 2*v**3/33 - 2*v**2/11 + 12. What is a in g(a) = 0?
-2, -1, 0, 1
Let -8/5 + 17/5*s**2 - s**3 + 14/5*s = 0. What is s?
-1, 2/5, 4
Let n(d) be the third derivative of -d**7/70 - d**6/40 + d**5/20 + d**4/8 - 2*d**2. Factor n(i).
-3*i*(i - 1)*(i + 1)**2
What is f in 2/3*f - 1/3 + 4/3*f**2 - f**4 - 2/3*f**3 = 0?
-1, 1/3, 1
Suppose 38 = 4*l - 2*s, -7*s - 25 = -3*l - 2*s. Let p be (2/10)/(3/l). Factor 0 + 1/3*g - p*g**2 - g**3.
-g*(g + 1)*(3*g - 1)/3
Let f(a) = -9*a**2 + 18*a + 6. Let i(c) be the third derivative of 3*c**5/20 - 17*c**4/24 - 7*c**3/6 + c**2. Let y(x) = -5*f(x) - 6*i(x). Factor y(h).
-3*(h - 2)*(3*h + 2)
Let -16/5 + 14/5*y**4 + 12/5*y**2 + 56/5*y - 46/5*y**3 = 0. Calculate y.
-1, 2/7, 2
Suppose 29 = 4*f + 13. Determine n so that -2/7 + 8/7*n**f + 22/7*n**3 + 2/7*n + 18/7*n**2 = 0.
-1, 1/4
Suppose 0 = -2*h - 3*f + 24, 3*h - 36 = -0*f - f. Let 2*y + 13*y**2 + 2*y**5 - 2*y**2 + 8*y**4 - 3*y**2 + h*y**3 = 0. Calculate y.
-1, 0
Let d(k) = 3*k**3 - 2*k**2 + 5*k - 4. Let b(a) = 7*a**3 - 3*a**2 + 10*a - 9. Let v(u) = 2*b(u) - 5*d(u). Factor v(y).
-(y - 2)*(y - 1)**2
Let s(b) = 3*b**2 + 14. Let o(y) = y**2 + 5. Let i(c) = -17*o(c) + 6*s(c). Solve i(h) = 0.
-1, 1
Let m(w) = -w**2 + 15*w - 11. Let f be m(14). Suppose 5*o - 3*y - 10 = -y, f*o - 4*y - 20 = 0. Factor 2/3*k**2 + o + 0*k.
2*k**2/3
Let k(l) = -9*l**2 + 7*l. Let i(c) = 46*c**2 - 36*c. Let a(r) = -3*i(r) - 16*k(r). Factor a(j).
2*j*(3*j - 2)
Let h(x) be the second derivative of x**4/30 + 8*x**3/15 - 43*x. Factor h(k).
2*k*(k + 8)/5
Let a(z) be the third derivative of z**8/2016 - z**7/252 + z**6/72 - z**5/36 + 5*z**4/144 - z**3/36 + 7*z**2. Factor a(l).
(l - 1)**5/6
Let r(c) be the second derivative of -64*c**6/15 - 24*c**5/5 - 2*c**4 - c**3/3 + 6*c. Factor r(n).
-2*n*(4*n + 1)**3
Let a be (-6)/(-8) + (-68)/(-16). Suppose -10 - 3*u - u**2 + 2 - u**2 - a*u = 0. What is u?
-2
Factor -18/5*q**2 - 14/5*q + 4/5.
-2*(q + 1)*(9*q - 2)/5
Let b(u) be the third derivative of 1/18*u**4 + 1/90*u**5 - u**2 + 0*u + 1/9*u**3 + 0. Determine p, given that b(p) = 0.
-1
Let g be (7 + -2)*18/290. Let h = g - -89/87. What is p in h*p**2 + 2/3*p**3 + 0 + 2/3*p = 0?
-1, 0
Let f be -3 - (39/(-6) - -3). Let -k**3 + f*k**4 + 1/2*k**2 + 0*k + 0 = 0. What is k?
0, 1
Find l, given that 12/5*l**2 + 4/5*l + 0 - 16/5*l**3 = 0.
-1/4, 0, 1
Let c(b) = 7*b**3 - 2*b + 1. Let f be 8/2 + -3 - 0. Let z be c(f). Suppose 3*g**3 + 5 - 5 - 6*g**3 - z*g**2 = 0. Calculate g.
-2, 0
Find l, given that -15*l**2 + 13*l + 5*l**3 - 23*l + 5*l**5 + 15*l**4 + 0*l**5 = 0.
-2, -1, 0, 1
Let c(p) = -3 + 3*p - 6*p + 4*p. Let a be c(7). Factor 2/7*w**2 + 2/7*w**3 - 2/7*w + 0 - 2/7*w**a.
-2*w*(w - 1)**2*(w + 1)/7
Solve 0 + 2*a**3 - 50/9*a**5 - 10/3*a**4 + 0*a - 2/9*a**2 = 0.
-1, 0, 1/5
Let s be 260/48 + 9/(-6). Let q = s - 13/4. Factor 0*t**2 + t - 1/3*t**3 + q.
-(t - 2)*(t + 1)**2/3
Suppose 12 = -3*c, -5*l + 3*c + 5 = -22. Let 1/2*i**5 + 0*i**2 + 0*i + 0*i**4 + 0 - 1/2*i**l = 0. What is i?
-1, 0, 1
Let l(y) = -y**2 - 2*y + 5. Let n be (-3 + 1)*3/6. Let a(k) = k - 1. Let b(c) = n*l(c) - 3*a(c). Factor b(r).
(r - 2)*(r + 1)
Let v(i) be the third derivative of -i**4/24 - i**3/2 + 2*i**2. Let m be v(-3). Factor -1/4*t**3 + m + 1/4*t + 0*t**2.
-t*(t - 1)*(t + 1)/4
Let l(c) = -c - 6. Let p(v) = 5*v + 10. Let w be p(-4). Let y be l(w). Let 0*d + 2/5*d**y - 4/5*d**2 + 2/5 + 0*d**3 = 0. Calculate d.
-1, 1
Let k(h) = -h + 1. Let s(j) = j. Let p(l) = -k(l) - 2*s(l). Let c be p(-4). Factor 6*n**5 + 8*n**5 - 5*n**3 - 2*n**3 + 3*n**c + 10*n**4.
2*n**3*(n + 1)*(7*n - 2)
Let d = 291/115 + -3/23. Let -d*q - 3/5*q**2 - 12/5 = 0. What is q?
-2
Let y(u) be the second derivative of 0 + 4*u + 0*u**2 + 1/30*u**4 + 0*u**3. Determine h, given that y(h) = 0.
0
Let i(y) = -y**5 - 8*y**4 - 6*y**3 - 3*y**2. Let o(w) = w**5 - w**3. Let l(g) = i(g) + 5*o(g). Factor l(z).
z**2*(z - 3)*(2*z + 1)**2
Let n(y) = -17*y**3 + 11*y**2 + 8*y + 2. Let o(j) = j**3 - j**2 - j - 1. Let g(i) = n(i) + 2*o(i). What is z in g(z) = 0?
-2/5, 0, 1
Let f be ((-24)/30)/(4/(-10)). Factor 4 + 4*t**2 - 5 - t - 3*t**f - 2*t**3 + 3*t**3.
(t - 1)*(t + 1)**2
Let r be -1*(-4)/(-22) + 50/33. Find u, given that 0 + 2/3*u**3 + r*u**2 + 2/3*u = 0.
-1, 0
Let h be ((-513)/72)/19 + 6/16. Factor -1/4*f**5 + h - 1/2*f - 9/4*f**3 + 7/4*f**2 + 5/4*f**4.
-f*(f - 2)*(f - 1)**3/4
Suppose 0 = -g + 4*g. Let k(t) be the second derivative of g + t + 1/30*t**4 + 1/5*t**2 - 2/15*t**3. Solve k(i) = 0.
1
Let -7/3*w - 2/3 - w**2 = 0. Calculate w.
-2, -1/3
Suppose -2*o - 6*y = -5*y - 8, 4*o = y + 22. Factor 2*n**2 - 2*n**3 + 5*n**4 + 0*n**2 + n**o + n**5 - 7*n**4.
2*n**2*(n - 1)**2*(n + 1)
Let -192*y**2 - 3*y**5 + 144*y + 72*y**3 - 132*y**4 + 132*y**4 = 0. Calculate y.
-6, 0, 2
Factor 2*b**2 + 6*b - 2/3*b**3 + 10/3.
-2*(b - 5)*(b + 1)**2/3
Determine c so that 2*c**2 - 9*c**3 + c**2 + 3*c**5 - 6*c + 0*c**3 + 3*c**4 - 18*c**2 = 0.
-1, 0, 2
Let k(q) = q. Let x(m) = -2*m. Let o(g) = 3*k(g) + 2*x(g). Let u be o(-2). Factor -2*c**5 + 5*c**5 + 2*c**2 - 2*c**3 - u