6*y**2 - 13*y + 10*y = 0.
-1, -2/5, 0, 1, 2
Let m(l) be the second derivative of -11*l**4/12 - l**3/6 - 3*l**2 - 21*l. Let y(v) = -4*v**2 - 2. Let j(a) = 3*m(a) - 8*y(a). Factor j(k).
-(k + 1)*(k + 2)
Suppose 0 + 2*c**3 + 12*c**4 - 8*c - 10/3*c**5 - 64/3*c**2 = 0. Calculate c.
-1, -2/5, 0, 2, 3
Let v(c) be the first derivative of 1/6*c**4 + 2/15*c**5 + 5 + 0*c - 1/3*c**2 - 2/9*c**3. Factor v(t).
2*t*(t - 1)*(t + 1)**2/3
Let d(n) = -17*n + 2. Let h = -251 + 251. Let s be d(h). Find x such that 0*x - 2/9 + 2/9*x**s = 0.
-1, 1
Let a(b) = -b**2 + 7*b + 9. Let f(d) = 2*d**2 + 5*d + 4. Let o be f(-3). Let y be a(o). Find g such that 1 + 16*g**3 - 36*g - 6*g**2 - y - 2*g**2 - 4*g**2 = 0.
-1, -1/4, 2
Solve 0*a + 0 + 2/15*a**2 - 4/15*a**4 + 2/15*a**3 = 0.
-1/2, 0, 1
Factor -4/7*g + 4/7 - 4/7*g**2 + 4/7*g**3.
4*(g - 1)**2*(g + 1)/7
Let y(g) be the first derivative of 0*g - 1/5*g**2 - 2/45*g**3 + 8. Determine q so that y(q) = 0.
-3, 0
Let q(n) be the first derivative of -2/3*n + 15 - 4/9*n**3 + 1/12*n**4 + 5/6*n**2. Find t, given that q(t) = 0.
1, 2
Let r(v) be the third derivative of v**5/180 - 17*v**4/36 + 2*v**2 - 25. Factor r(s).
s*(s - 34)/3
Solve 1541*l - 1516*l + 5*l**2 + 0*l**2 = 0 for l.
-5, 0
Let g(x) = -3*x**2 - 1. Let l(s) = 32*s**2 - 12*s + 10. Let h(n) = -10*g(n) - l(n). What is f in h(f) = 0?
0, 6
Let k = -206 + 208. Let t(j) = 2*j**2 - j - 4. Let v be t(k). Factor 2/5*a**v - 2/5*a**3 + 0*a + 0.
-2*a**2*(a - 1)/5
Suppose -30 = 308*j - 318*j. Let o(m) = -m**2 + 7*m - 6. Let g be o(5). Factor 2*l**2 - j*l - 14*l**5 - 2*l**4 + 13*l**5 + g*l.
-l*(l - 1)*(l + 1)**3
Let a = -3700 - -18518/5. Suppose -54/5*k - 54/5 - a*k**2 - 2/5*k**3 = 0. Calculate k.
-3
Let a(n) = -5*n**2 - 177*n. Let x(z) = 3*z**2 + 90*z. Let l(b) = 6*a(b) + 11*x(b). Solve l(k) = 0.
0, 24
Let g = 4310 + -17239/4. Find v, given that -g*v**3 - 1/4*v**2 + 0 + 0*v = 0.
-1, 0
Let q be 3/6 + 19/24*-2. Let c = q - -79/36. Let -2*y**2 + 2/9 - c*y**3 - 2/3*y = 0. What is y?
-1, 1/5
Let j = 60 + -57. Let u be 4*3/(60/56). Suppose -98/5*w**j + 0 - 8/5*w + u*w**2 = 0. Calculate w.
0, 2/7
Factor 180*a**5 + 2*a**4 + 0*a + a**3 + 0*a - 183*a**5.
-a**3*(a - 1)*(3*a + 1)
Let c(h) be the second derivative of h**6/100 - 17*h**5/150 + 7*h**4/15 - 4*h**3/5 - 17*h**2 + 3*h. Let g(x) be the first derivative of c(x). Factor g(m).
2*(m - 3)*(m - 2)*(3*m - 2)/5
Let k be (63/(-6))/(-7)*2. Suppose -k = -6*g + 5*g. Factor 0*z + 0 + 1/5*z**4 + 2/5*z**2 + 3/5*z**g.
z**2*(z + 1)*(z + 2)/5
Let v(x) be the third derivative of -x**8/264 - 2*x**7/1155 - 87*x**2. Factor v(o).
-2*o**4*(7*o + 2)/11
Suppose -62*f = -65*f + 21. Let x(s) be the third derivative of s**3 - f*s**2 + 1/6*s**4 + 0*s + 0 + 1/90*s**5. Factor x(t).
2*(t + 3)**2/3
Let a(c) be the third derivative of c**6/3600 + 7*c**5/600 + 16*c**3/3 - 37*c**2. Let w(g) be the first derivative of a(g). Determine z, given that w(z) = 0.
-14, 0
Let b(u) be the third derivative of -u**8/64 + 9*u**7/280 + 103*u**6/160 + 131*u**5/80 + 3*u**4/4 - 5*u**3/2 - 718*u**2. Solve b(a) = 0.
-2, -1, 2/7, 5
Let d = 47112 + -47108. Factor 0 + 15/7*x**2 + 3/7*x**d - 6/7*x - 12/7*x**3.
3*x*(x - 2)*(x - 1)**2/7
Let f = 838/3 + -279. Factor 343/3*q**4 + 490/3*q**3 + 56*q**2 + f + 22/3*q.
(q + 1)*(7*q + 1)**3/3
Let -12/5*h**3 + 16/5*h**4 - 10*h - 16*h**2 - 2/5*h**5 + 0 = 0. What is h?
-1, 0, 5
Suppose -3*g + 14 + 1 = 0. Suppose 15 = -g*h, 4*w = h - 7 - 6. Let n(u) = -u**3 - u**2 - 1. Let b(p) = p**3 + 4*p**2 + 4. Let v(c) = w*n(c) - b(c). Factor v(o).
3*o**3
Let h = -3/623 - -8755/6853. Factor 2/11*a - h*a**3 - 4/11*a**2 - 8/11*a**4 + 0.
-2*a*(a + 1)**2*(4*a - 1)/11
Let v(m) be the first derivative of 0*m**2 + 0*m**3 + 11 + 0*m + 1/12*m**4. Factor v(a).
a**3/3
Let k(m) be the third derivative of 1/6*m**4 - 1/60*m**6 + 0*m**3 + 0 + 1/10*m**5 + 0*m - 1/35*m**7 - 1/168*m**8 - 6*m**2. Suppose k(v) = 0. Calculate v.
-2, -1, 0, 1
Solve -4*a**2 - 40 - 73*a + 28*a + a = 0 for a.
-10, -1
Let i(m) be the first derivative of m**4 - 2/5*m**5 - 2*m**2 - 30 + 8/3*m**3 - 6*m. Factor i(k).
-2*(k - 3)*(k - 1)*(k + 1)**2
Let g(a) = -a**3 + 8*a**2 - 7*a + 4. Let k be g(7). Suppose -k = -m - m. Find s such that 1 - 5 - m*s - s**2 - s - s = 0.
-2
Let c(s) be the first derivative of s**4/4 - 2*s**3 + 7*s**2/2 - 5*s - 20. Let w be c(5). Factor 2/3*h**3 + 1/3 - h**4 - h + 1/3*h**w + 2/3*h**2.
(h - 1)**4*(h + 1)/3
Let p(c) = -c**3 + c**2 + 1. Let y(u) = -7*u**2 - 3*u - 5. Let m(b) = -b**2 - 1. Let h(w) = 6*m(w) - 2*y(w). Let o(f) = h(f) - 2*p(f). Factor o(d).
2*(d + 1)**3
Suppose 0 - 35/4*r - 9*r**4 + 1/4*r**5 + 9*r**2 + 17/2*r**3 = 0. Calculate r.
-1, 0, 1, 35
Let s(q) be the second derivative of 2/27*q**4 + 0*q**3 + 17*q + 0*q**2 + 0 - 2/135*q**6 + 1/45*q**5. Let s(j) = 0. What is j?
-1, 0, 2
Let k be 8 - 1 - (-12)/(-6). Suppose j = -5*p - 3, -10 = -k*j + 3*p + 3. Factor j*l**2 + 27 + l**3 + 0*l**2 - 27.
l**2*(l + 2)
Let r(u) be the third derivative of u**8/2016 + u**7/315 + u**6/240 - 2*u**2. Factor r(f).
f**3*(f + 1)*(f + 3)/6
Let w be (0 + 3)*(2 + 4/(-3)). Factor -5*t**4 + 4*t**2 + 11*t**w - 6*t + 16*t.
-5*t*(t - 2)*(t + 1)**2
Let i be 4/22 + (-60)/(-33). Suppose 0*q + q = i. What is b in -4*b**q - 2*b**4 + 5*b**2 + b**2 = 0?
-1, 0, 1
Let f(w) = 9*w**5 + 60*w**4 + 33*w**3 - 78*w**2 - 36*w. Let d(u) = -u**5 - u**4 - u**3 + u**2. Let b(y) = 6*d(y) - f(y). Solve b(z) = 0.
-3, -2, -2/5, 0, 1
Let v = 60 + -56. Let t(g) be the first derivative of -1/6*g**v + 2 + 0*g + 1/9*g**3 + 1/15*g**5 + 0*g**2. Factor t(u).
u**2*(u - 1)**2/3
Let o(s) be the first derivative of -5*s**3/3 - 15*s**2/2 + 50*s - 220. Factor o(b).
-5*(b - 2)*(b + 5)
Let m(b) be the first derivative of -3*b**2 + 0*b + 3/2*b**4 - b**3 + 4 + 3/5*b**5. Factor m(a).
3*a*(a - 1)*(a + 1)*(a + 2)
Let o be ((-48)/(-24) - (-21)/(-15))/((-6)/(-20)). Solve -8/11*f - 2/11*f**3 + 0 - 6/11*f**4 + 16/11*f**o = 0 for f.
-2, 0, 2/3, 1
Find t, given that -2/11*t**3 + 2/11*t + 0 + 0*t**2 = 0.
-1, 0, 1
Suppose -5*r = -3*v + 28, -6*v + 14 = -5*v - 4*r. Let z be 1 + -3 + v + (-17)/6. Factor -1/2*w**3 - z*w**4 + 1/2*w**2 + 1/3*w + 0 - 1/2*w**5.
-w*(w + 1)**3*(3*w - 2)/6
Let m(k) be the third derivative of -k**10/226800 - k**9/90720 - 3*k**5/5 + 2*k**2 + 19. Let i(p) be the third derivative of m(p). What is t in i(t) = 0?
-1, 0
Let w(i) = -i**4 - 18*i**3 - 9*i**2 + 8*i + 8. Let s(q) = -2*q**3 - q**2 + q + 1. Let v(u) = 40*s(u) - 5*w(u). Factor v(p).
5*p**2*(p + 1)**2
Let d(k) be the third derivative of 4/3*k**3 + 4/15*k**5 + 0 + 1/30*k**6 + 23*k**2 + 0*k + 5/6*k**4. Factor d(u).
4*(u + 1)**2*(u + 2)
Let h(c) = -2*c**2 + 394*c + 382. Let d(m) = m**2 - 131*m - 127. Let k(g) = 14*d(g) + 5*h(g). Let k(a) = 0. Calculate a.
-33, -1
Let z(p) be the first derivative of 3/2*p**2 + 1/4*p**4 + 2 + p + p**3. Factor z(l).
(l + 1)**3
Let b be (2 - 0/(-4))*(0 - -1). Factor u**4 + u**5 + 0*u**5 + 39*u**2 - 39*u**2 - b*u**3.
u**3*(u - 1)*(u + 2)
Let t(x) be the third derivative of 1/150*x**5 + 0*x - 12*x**2 + 0*x**3 + 0 - 1/12*x**4. Find p, given that t(p) = 0.
0, 5
Let q(t) = 5*t**2 - 28 + 3*t**2 - t**3 - 2*t**2 + 32 - t. Let m(u) = 3*u**3 - 12*u**2 + 3*u - 9. Let r(n) = -4*m(n) - 9*q(n). Factor r(l).
-3*l*(l + 1)**2
Suppose -16/7*d - 2/7*d**2 - 24/7 = 0. Calculate d.
-6, -2
Let u(z) = 14*z + 784. Let k be u(-56). Suppose -9/2*r**3 + k + 0*r + 3/2*r**2 - 3/2*r**5 + 9/2*r**4 = 0. Calculate r.
0, 1
Let m(c) be the first derivative of 1/24*c**4 - 1/4*c**2 + 0*c**3 + 1 + 1/3*c. Find z such that m(z) = 0.
-2, 1
Let j(u) = 9*u**2 + 32*u - 17. Let p(o) = o**2 + 4*o - 2. Suppose 5*x + 5 = 35. Let w = 0 + x. Let g(d) = w*j(d) - 51*p(d). Factor g(s).
3*s*(s - 4)
Let v(w) = w**2 + 10*w + 12. Let o be v(-6). Let h be 15*(3/(-3))/o. Factor -h*g**2 + 5/2 + 5/4*g.
-5*(g - 2)*(g + 1)/4
Determine t, given that 45*t + 3/2*t**2 + 87/2 = 0.
-29, -1
Let m(v) be the first derivative of -9*v**4/4 - 2*v**3/3 + 18*v**2 + 8*v - 100. Find x such that m(x) = 0.
-2, -2/9, 2
Let b be ((-6)/(-10))/(-1)*-5. Factor 0*x**b - 46*x - 4*x**3 + 50*x.
-4*x*(x - 1)*(x + 1)
Let o = 36527/123 - 297. Let i = 1070/123 + o. What is x in -i*x - 4/3 - 22/3*x**2 = 0?
-1, -2/11
Suppose 0 = -9*o + 43*o - 68. Factor -3/2*s**o - 3/2 + 2*s**4 - 5*s + 6*s**3.
(s - 1)*(s + 3)*(2*s + 1)**2/2
Let w(z) be the third derivative of z**11