**2 + f - 1. Let m(n) = -6*n**2 - 14*n - 2. Let h(j) = -2*k(j) - m(j). Factor h(u).
4*(u + 1)*(2*u + 1)
Let n(t) be the second derivative of -t**5/4 - 5*t**4/12 + 5*t**3/3 + 15*t. Find g such that n(g) = 0.
-2, 0, 1
Let z(y) be the first derivative of -2/21*y**3 + 3 - 18/7*y - 6/7*y**2. Find b such that z(b) = 0.
-3
Suppose 0 = 3*z - 0*k + 3*k, 5*z = 4*k + 36. Factor 0*g**2 + 1/2*g**z + g - g**3 - 1/2.
(g - 1)**3*(g + 1)/2
Let c = 17/58 + 6/29. Let a(p) be the first derivative of 1/2*p**4 - c*p**2 + 0*p**3 + 2 + 0*p - 1/6*p**6 + 0*p**5. Factor a(g).
-g*(g - 1)**2*(g + 1)**2
Let w(x) = x**2 - 6*x - 1. Let h be w(7). Let m(j) = j**2 - 6*j. Let k be m(h). Factor -1/4*n + 1/4*n**2 + k.
n*(n - 1)/4
Let h be (-1 - -2)/(-120)*-2. Let q(o) be the third derivative of 0*o**3 + 0*o**4 + 0 + 1/70*o**7 + 1/336*o**8 + 2*o**2 + 0*o + h*o**5 + 1/40*o**6. Factor q(w).
w**2*(w + 1)**3
Let l(o) = 3*o - 1. Suppose 2*x - 3 = -1. Let r be l(x). Factor r*w**2 + w - 2*w + w**3 - 2*w**3.
-w*(w - 1)**2
Let -3*n**2 + 20 + 5*n**5 + 6*n**3 - 11*n**3 - 32*n**2 + 0*n**5 + 15*n**4 = 0. Calculate n.
-2, -1, 1
Suppose -3*k = -5*h - k + 11, 0 = -3*h + 2*k + 5. Determine f, given that -h*f**5 + 20*f + f**5 - 5*f**5 + 19*f**2 - 9*f**4 - 13*f**3 - 14*f**4 + 4 = 0.
-2, -1, -2/7, 1
Let u(i) be the first derivative of -2*i**2 + 1 - 5/3*i**3 - 4/5*i. Factor u(c).
-(5*c + 2)**2/5
Let a = -3 + 5. What is w in -a*w**2 - 14*w**3 + 0*w**4 + 0*w**4 + 14*w**5 + 4*w**4 - 2*w**2 = 0?
-1, -2/7, 0, 1
Let v(a) = a**3 - 8*a**2 - a - 9. Let k be v(9). Factor -4*b**5 + 8*b**2 + 5*b**5 - 26*b**5 + k*b**4 + 7*b**4 - 44*b**3.
-b**2*(b - 2)*(5*b - 2)**2
Let p(z) be the second derivative of -5*z - 13/70*z**5 + 1/49*z**7 - 1/7*z**4 + 4/105*z**6 - 8/7*z**2 + 0 + 20/21*z**3. Determine d so that p(d) = 0.
-2, 2/3, 1
Let n(q) be the third derivative of q**6/360 - q**5/120 + q**3/6 - 2*q**2. Let z(r) be the first derivative of n(r). Find b such that z(b) = 0.
0, 1
Let r = 6409/5 - 1281. Let r*s - 2/5 - 2/5*s**2 = 0. Calculate s.
1
Let f be ((-4)/16)/(-6 - 77/(-14)). Factor 1/4*h**4 - 3/4*h**3 + 0 + 0*h + f*h**2.
h**2*(h - 2)*(h - 1)/4
Find c, given that -10/9*c**2 - 2/3*c + 2 - 2/9*c**3 = 0.
-3, 1
Factor 0 - 6*y**2 - 9/4*y**3 - 3*y.
-3*y*(y + 2)*(3*y + 2)/4
Let a be ((-40)/(-70))/(2/7). Factor 12*k**2 + 90 - a*k**3 - 2*k**3 - 106.
-4*(k - 2)**2*(k + 1)
Let y(g) be the second derivative of -3*g**5/20 - 5*g**4/8 + 3*g**3/4 + 16*g. Factor y(b).
-3*b*(b + 3)*(2*b - 1)/2
Factor 0 + 2/7*n**2 + 2/7*n.
2*n*(n + 1)/7
Let d be (-20)/(-16)*3/(-75). Let i = d + 3/10. Suppose 0*o + 1/4*o**2 - i = 0. Calculate o.
-1, 1
Let f(k) be the second derivative of -k**8/4480 - k**7/560 - k**6/160 - k**5/80 + k**4/4 + 5*k. Let q(w) be the third derivative of f(w). Factor q(m).
-3*(m + 1)**3/2
Let v(x) be the first derivative of -x**4/14 + 8*x**3/21 + 12*x**2/7 - 37. Find i, given that v(i) = 0.
-2, 0, 6
Let f(z) be the second derivative of -2/3*z**3 - 1/15*z**6 + 1/5*z**5 - 3*z + z**2 + 0 + 0*z**4. Factor f(o).
-2*(o - 1)**3*(o + 1)
Find v, given that -v**3 - 2*v**3 + 10*v**2 + 8*v**3 = 0.
-2, 0
Let m = -3/820 - 42631/2460. Let k = m + 18. Suppose -8/3*r + k + 2*r**2 = 0. Calculate r.
1/3, 1
Let r(l) = -5*l**3 + 7*l**2 + 2*l - 10. Let f(a) = 11*a**3 - 15*a**2 - 5*a + 21. Let i = -14 + 1. Let k(n) = i*r(n) - 6*f(n). What is d in k(d) = 0?
-2, -1, 2
Let z be (-2)/(-2*(-5)/(-5)). Suppose -1/2*y + z + 1/2*y**3 - y**2 = 0. What is y?
-1, 1, 2
Let u(z) = -2*z - 5*z**2 - 11*z - 2*z**2 + 13*z**3 + 7. Let r(f) = 40*f**3 - 22*f**2 - 40*f + 22. Let c(j) = 5*r(j) - 16*u(j). Factor c(y).
-2*(y - 1)*(y + 1)*(4*y - 1)
Let s(u) be the second derivative of 0*u**2 + 0 + 1/45*u**6 + 3*u + 1/60*u**5 + 0*u**3 + 1/126*u**7 + 0*u**4. Suppose s(v) = 0. Calculate v.
-1, 0
Let r be ((-4 - -7)/3)/1. Let l be (r/(-9))/(2/(-24)). Solve -2/3*f**2 - 2/3*f + l = 0.
-2, 1
Let o(i) = 8*i**2 - 12. Let n(t) = -t**2 - t + 1. Let s(u) = u**3 - 7*u**2 + 7*u + 6. Let w be s(6). Let y(f) = w*n(f) + o(f). Factor y(m).
-4*m*(m + 3)
Factor -5*y**2 - 2*y**3 - 2*y**3 + y**4 + 3*y**4 + 4*y**5 + y**2.
4*y**2*(y - 1)*(y + 1)**2
What is h in -21/2*h**2 - 9 - 69/2*h = 0?
-3, -2/7
Let d(g) be the first derivative of 2*g**5/95 - 4*g**3/57 + 2*g/19 - 14. Determine m, given that d(m) = 0.
-1, 1
Let m(v) be the third derivative of 0*v - 1/630*v**7 - 1/180*v**5 + 4*v**2 - 1/504*v**8 + 1/9*v**3 - 5/72*v**4 + 0 + 7/360*v**6. Let m(p) = 0. Calculate p.
-2, -1, 1/2, 1
Let x = 2 - 2. Suppose s + s - 14 = x. Suppose s*d**5 - 7*d**3 - 4*d**5 + 2*d**2 - 2*d**4 + 4*d**5 = 0. Calculate d.
-1, 0, 2/7, 1
Let h(s) be the second derivative of s**4/42 + s**3/42 - s**2/14 - s. Factor h(a).
(a + 1)*(2*a - 1)/7
Let p = 11 + -75/7. Factor 4/7*n + 0 - p*n**2.
-2*n*(n - 2)/7
Let j be (44/(-28) - -2)/(8/7). Let z(r) be the first derivative of 0*r**3 + 0*r + j*r**4 + 4 + 0*r**2. What is v in z(v) = 0?
0
Suppose 7*i - 42 = -14. Let h(o) be the second derivative of 1/48*o**4 + 1/24*o**3 + i*o + 0*o**2 + 0. Factor h(g).
g*(g + 1)/4
Suppose -3 = -s, 0 = -x + 4*x - 3*s - 21. Let k be ((-16)/(-10))/(4/x). Suppose 22/3*h**2 - 7*h**5 - 20/3*h**k + 8*h**3 - 2/3 - h = 0. What is h?
-1, -2/7, 1/3, 1
Let y(i) = 2*i + 4. Let q be y(-2). Let b(m) be the second derivative of q + 0*m**5 - 1/60*m**6 + 1/24*m**4 + m + 0*m**3 + 0*m**2. Determine a so that b(a) = 0.
-1, 0, 1
Let m(n) be the second derivative of 0*n**2 + 0*n**3 + 1/50*n**5 + 0 + 0*n**4 - 4*n. Factor m(u).
2*u**3/5
Let u(m) = 2*m**4 - m**3 + 22*m**2 - 10*m. Let w(t) = -t**4 + t**3 - 11*t**2 + 5*t. Let x(s) = -6*u(s) - 13*w(s). Factor x(y).
y*(y - 5)*(y - 1)**2
Let y(q) be the third derivative of 0 + 1/735*q**7 + 0*q**4 + 0*q**6 - 1/210*q**5 - q**2 + 0*q**3 + 0*q. Solve y(a) = 0.
-1, 0, 1
Let c(z) be the first derivative of z**6/4 - 3*z**5/10 - 3*z**4/4 + 21. Find l such that c(l) = 0.
-1, 0, 2
Factor 4*c**2 - 48*c + 9*c**2 - 9*c**2 + 144.
4*(c - 6)**2
Suppose -1 = -2*s + 5. Find j, given that -s*j**3 - 45*j - j**3 - 29*j**2 + j**3 - 27 + 8*j**2 = 0.
-3, -1
Factor -1/2*g**2 - 2*g + 2 + 1/2*g**3.
(g - 2)*(g - 1)*(g + 2)/2
Let f(z) be the third derivative of -1/540*z**6 + 0*z**5 + 0*z**3 + 0 + 0*z + 1/108*z**4 - 3*z**2. Suppose f(s) = 0. Calculate s.
-1, 0, 1
Let a(d) be the third derivative of -1/15*d**3 - 1/60*d**4 + 1/300*d**6 - d**2 + 1/150*d**5 + 0 + 0*d. Factor a(x).
2*(x - 1)*(x + 1)**2/5
Solve 3*o**3 + 3/2*o**5 - 9/2*o + 9/2*o**4 - 3/2 - 3*o**2 = 0.
-1, 1
Let f(d) = -d**2 + 6*d + 11. Let w be f(7). Factor 0 + 0*v + 1/3*v**w + 1/3*v**2 - 2/3*v**3.
v**2*(v - 1)**2/3
Let b be -6 + (675/12)/9. Solve 1/4*x**2 + 0*x - b*x**3 + 0 = 0.
0, 1
Let c(r) be the third derivative of -r**6/420 + r**5/420 + r**4/168 - r**2. Factor c(u).
-u*(u - 1)*(2*u + 1)/7
Let z(y) be the first derivative of 1/18*y**4 + 1 - 1/9*y**2 + 2/9*y - 2/27*y**3. Factor z(o).
2*(o - 1)**2*(o + 1)/9
Suppose -3/7*m + 3/7*m**2 + 0 = 0. What is m?
0, 1
Let f = -7 + 10. Let q(j) be the first derivative of -3 - 1/3*j**f - 1/2*j + 3/10*j**5 - 3/4*j**2 + 1/12*j**6 + 1/4*j**4. What is h in q(h) = 0?
-1, 1
Factor 4/9*j**3 - 2/9*j**4 + 2/9*j**2 - 4/9*j + 0.
-2*j*(j - 2)*(j - 1)*(j + 1)/9
Suppose 3*r + 15 = -d, 5*d + 4*r + 22 - 2 = 0. Factor d*v - 1/5*v**3 + 4/5 - 3/5*v**2.
-(v - 1)*(v + 2)**2/5
Let t(n) be the first derivative of -n**5/60 + n**4/6 - 2*n**3/3 + 4*n**2/3 - 10*n + 4. Let c(j) be the first derivative of t(j). Factor c(x).
-(x - 2)**3/3
Let z(s) be the second derivative of -s**9/60480 + s**8/26880 + s**7/10080 - s**6/2880 - s**4/3 - 3*s. Let j(y) be the third derivative of z(y). Factor j(b).
-b*(b - 1)**2*(b + 1)/4
What is x in -12/5*x**2 + 0 + 4/5*x**3 + 8/5*x = 0?
0, 1, 2
Suppose -15 = -2*x - x - 4*m, x + 5*m = 5. Factor -19*k**3 + 19*k**3 + k**4 - k**x.
-k**4*(k - 1)
Let z(j) be the first derivative of j**4/3 - 2*j**2 + 8*j/3 + 10. Factor z(i).
4*(i - 1)**2*(i + 2)/3
Let s(x) = 7*x + 5. Let f(y) = 4*y + 2. Let g(h) = 5*f(h) - 3*s(h). Let z be g(-5). What is w in 2/9*w**3 + z*w**2 - 2/3*w - 4/9 = 0?
-1, 2
Let x be (-1)/(2 - (-33)/(-15)). Let 3*j**4 + j**5 - j**5 + j**5 + 2*j**x = 0. Calculate j.
-1, 0
Let w be 4*-2*(-6)/84*2. Let 12/7*l**4 + 16/7*l**5 - 4/7*l**2 + 36/7*l - w - 52/7*l**3 = 0. What is l?
-2, -1, 1/4, 1
Let l be (-3)/15*(-1 - 23). Let p = l + -23/5. Factor -2/5*r + 0 + p*r**2.
r*(