*z + 1. Let p(l) be the first derivative of g(l). Factor p(v).
-2*v*(v + 1)**2/7
Let j be (-7 - 3)*(-1)/(-2) - -5. Factor 2/9*r**3 + 0 - 2/9*r + j*r**2.
2*r*(r - 1)*(r + 1)/9
Find l, given that 6*l**3 + 10*l**2 - 10*l**4 - 6*l - l**2 + l**4 = 0.
-1, 0, 2/3, 1
Let i = 20 - 17. Factor -2*v + 0 + 2*v**2 - 1/2*v**i.
-v*(v - 2)**2/2
Find v, given that 5*v**2 + v**4 - 6*v**2 + 2*v**3 + 2*v**2 = 0.
-1, 0
Let h(j) = 2*j**2 - 46*j + 244. Let g be h(15). Solve -8/3*w**2 + 0 - 10/3*w**5 + 8/3*w**g + 4*w**3 - 2/3*w = 0 for w.
-1, -1/5, 0, 1
Suppose -36*x + 3*x = -66. Factor -2/11*n**4 + 0 + 8/11*n**3 + 4/11*n - 10/11*n**x.
-2*n*(n - 2)*(n - 1)**2/11
Let u(s) = -3*s**3 - s**2 + s - 3. Let q(t) = -16*t**3 - 6*t**2 + 5*t - 16. Let x(j) = -2*q(j) + 11*u(j). Factor x(o).
-(o - 1)**2*(o + 1)
Let n(a) be the first derivative of 3*a**5/20 + 9*a**4/8 - 15*a**3/4 + 3*a**2 + 17. Suppose n(l) = 0. What is l?
-8, 0, 1
Let w = 2365/6 - 394. Determine v so that -w*v + 1/6*v**3 + 0 + 1/6*v**2 - 1/6*v**4 = 0.
-1, 0, 1
Let d(k) = 12*k**2 - k + 14. Let r be 86/8 + 2/8. Let x(u) = 4*u**2 + 5. Let i(f) = r*x(f) - 4*d(f). Determine w, given that i(w) = 0.
1/2
Let p = -155/3 - -53. Let q = -56/3 - -19. Find c, given that -q*c**2 - p - 4/3*c = 0.
-2
Let t(q) be the third derivative of -q**8/50400 - q**7/3150 - q**6/450 + q**5/30 + 4*q**2. Let n(k) be the third derivative of t(k). Factor n(l).
-2*(l + 2)**2/5
Let h = -21 + 20. Let y be 3 - (h - 20/(-7)). Let 2/7 + y*q + 8/7*q**3 + 2/7*q**4 + 12/7*q**2 = 0. What is q?
-1
Suppose -78 = -4*r - 0*q - 5*q, -2*q + 4 = 0. Find o, given that r*o**3 + 8*o + 11*o**3 + 17*o**2 + 19*o**2 = 0.
-1, -2/7, 0
Let q(x) be the third derivative of x**7/105 - x**6/30 - x**5/10 + x**4/3 + 4*x**3/3 + 28*x**2. Solve q(w) = 0 for w.
-1, 2
Let q(h) = -h**2 - 7*h - 4. Let t be q(-6). Suppose 3*p - 5*l = -5, -3*p - 2*l + 6 = 4. Factor p - 1/3*z**t + 0*z.
-z**2/3
Suppose -2*g + 33 = -5*m, 4*m = 3*g + g - 24. Let w be 10 + m - (3 + 0). Factor -6/5*n**3 - 2/5*n**4 + 0*n + w - 4/5*n**2.
-2*n**2*(n + 1)*(n + 2)/5
Let i(k) = -k**3 - 7*k**2 - 8*k - 9. Let h be i(-6). Let j = h - 0. Suppose 4*y**4 - j*y**4 + 0*y**3 - 2*y**3 + y**2 = 0. Calculate y.
0, 1
Let r(l) = l**2 + 2*l + 4. Let s be r(-3). Let i(d) = 2*d - 12. Let f be i(s). Suppose 0*v - 2/9*v**3 + 0*v**f + 0 = 0. What is v?
0
Suppose 10*h - 28 - 2 = 0. Let b(d) be the first derivative of -1/6*d**6 + 1/4*d**4 + 1/5*d**5 - 1/3*d**h + 2 + 0*d + 0*d**2. Solve b(r) = 0 for r.
-1, 0, 1
Let x be -6 + 3 + 16/5. Let 0*w - 1/5*w**2 + x*w**4 + 0*w**3 + 0 = 0. What is w?
-1, 0, 1
Let y(g) be the second derivative of -g + 0*g**3 + 0*g**2 + 1/20*g**5 + 0 + 1/12*g**4. Find h such that y(h) = 0.
-1, 0
Let w(f) be the second derivative of f**7/56 - 3*f**6/40 + 3*f**5/40 + f**4/8 - 3*f**3/8 + 3*f**2/8 - 13*f. What is h in w(h) = 0?
-1, 1
Suppose -w = 5*h - 49, -h + 5 = w + 4*w. Let u be 2/h - (-19)/5. Let 2*j**2 - 6*j**3 + 6*j**u - j + j - 2*j**5 = 0. What is j?
0, 1
Let z = -18 + 22. Let g(m) = -m**2 + 4*m + 2. Let n be g(z). Let 2/3*i**n - 2/3*i - 4/3 = 0. Calculate i.
-1, 2
Factor -3*z - 2*z**3 - 9/2*z**2 - 1/2.
-(z + 1)**2*(4*z + 1)/2
Suppose 105 = 5*h - 75. Solve -27*z**3 + z**2 - 7*z**2 - h*z**4 - 9*z**5 - 6*z**5 + 0*z**2 = 0 for z.
-1, -2/5, 0
Let w(t) be the first derivative of -3/8*t**2 - 3 - 1/4*t - 1/4*t**3 - 1/16*t**4. Suppose w(o) = 0. What is o?
-1
Suppose -4*d = -4*g + 6 - 2, 2*d = 5*g - 8. Suppose g*u - 3 = 1. Let 3*q + 3*q**u - q**2 - q = 0. What is q?
-1, 0
Let v be 1/((-7)/(-5) + (-18)/45). Let y(a) be the first derivative of v + 0*a**2 + 1/6*a**4 + 4/9*a**3 + 0*a. Determine c so that y(c) = 0.
-2, 0
Let b(i) be the first derivative of i**4/38 - 4*i**3/57 + i**2/19 - 5. Factor b(g).
2*g*(g - 1)**2/19
Let q(v) be the first derivative of -7*v**6/15 + 12*v**5/5 - 5*v**4 + 16*v**3/3 - 3*v**2 + 4*v/5 - 1. Solve q(w) = 0.
2/7, 1
Solve -531*n + 547*n + 5 - 10*n**2 + 2*n**3 - 13 = 0 for n.
1, 2
Let s(r) be the third derivative of r**8/1008 + r**7/126 + r**6/90 - 4*r**5/45 - 4*r**4/9 - 8*r**3/9 - 10*r**2. Factor s(h).
(h - 2)*(h + 1)*(h + 2)**3/3
Let p(u) be the second derivative of 1/5*u**6 - 1/2*u**4 - 1/5*u**5 + 0*u**2 + 6*u + 2/3*u**3 + 0. Let p(g) = 0. Calculate g.
-1, 0, 2/3, 1
Let m(z) = z**3 + z. Let g be m(1). Factor x**4 - 6*x**2 + 7*x**4 + 3*x - 3*x**5 - g*x**4.
-3*x*(x - 1)**3*(x + 1)
Let h = 260 - 5199/20. Let p(v) be the second derivative of -1/20*v**6 - 1/84*v**7 - h*v**5 + 2*v + 1/4*v**2 + 1/12*v**4 + 0 + 1/4*v**3. Factor p(g).
-(g - 1)*(g + 1)**4/2
Factor -5*g**4 + 9*g**2 - 14*g**2 - 8*g**3 - 2*g**3.
-5*g**2*(g + 1)**2
Let q(s) be the third derivative of -s**6/40 - s**5/5 - 3*s**4/8 - 3*s**2. Factor q(g).
-3*g*(g + 1)*(g + 3)
Let f = -7 - -10. Suppose 2*z**3 + 4*z**f + 4*z + 2*z**4 - 4*z + 4*z**2 = 0. Calculate z.
-2, -1, 0
Let i = 5 - 1. Suppose -i*y + 2 = 2*u, 3*y - 4*u - 9 = -3*u. Factor -2/5*a**3 + 2/5*a + 0 + 2/5*a**y - 2/5*a**4.
-2*a*(a - 1)*(a + 1)**2/5
Let g(h) = -7*h**4 + 2*h**3 - 7*h**2 + 6*h. Let r(o) = -o**4 - o**3 + o**2. Let d(w) = -g(w) + 6*r(w). Factor d(q).
q*(q - 6)*(q - 1)**2
Let g(j) be the third derivative of 1/120*j**6 + 1/8*j**4 + 5*j**2 + 1/6*j**3 + 1/20*j**5 + 0 + 0*j. Solve g(f) = 0 for f.
-1
Let y = -95/6 + 49/3. Factor 1/2*g**2 + 0*g - y.
(g - 1)*(g + 1)/2
Let n(a) = -a**3 + 17*a**2 + a - 17. Let j(k) = -4*k**2 + 4. Let d be (-4)/(-7) + (-80)/(-56). Let w(v) = d*n(v) + 9*j(v). Factor w(p).
-2*(p - 1)*(p + 1)**2
Suppose 12 = 4*d + 4. Determine i so that 2*i**d - 4*i**4 + 2 + 3*i**4 - 3 = 0.
-1, 1
Let m(g) be the second derivative of 2*g**6/75 - g**5/25 - 2*g**4/15 - 48*g - 1. Find x such that m(x) = 0.
-1, 0, 2
Let v(y) = 2*y - 3. Let o(z) = -z + 1. Let c(a) = 6*o(a) + 2*v(a). Let g be c(-1). Determine m so that 4*m - 2 - 3*m - m**g + 2*m = 0.
1, 2
Let w(o) be the third derivative of o**8/1344 + o**7/420 - o**5/120 - o**4/96 - 4*o**2. Factor w(m).
m*(m - 1)*(m + 1)**3/4
Let q(z) be the second derivative of -z**6/3 - 4*z**5/5 - z**4/6 + 2*z**3/3 - 4*z. Factor q(t).
-2*t*(t + 1)**2*(5*t - 2)
Let u(x) = x**2 - 4*x + 3. Let p be u(4). Let a be -6 + 5 + 1*p. Find o, given that -2*o**2 - a*o**2 - 2*o**3 + 4*o**3 + 2*o = 0.
0, 1
Let a be (-1)/5 + 51/180. Let r(j) be the third derivative of 0 - 1/30*j**6 + j**2 - a*j**4 + 0*j - 1/10*j**5 + 0*j**3. Let r(k) = 0. Calculate k.
-1, -1/2, 0
Let q(d) be the third derivative of -d**6/450 + d**5/150 + d**4/15 - 5*d**3/6 - 3*d**2. Let z(h) be the first derivative of q(h). What is c in z(c) = 0?
-1, 2
Let i(k) be the third derivative of -k**7/105 - k**6/60 + k**5/30 + k**4/12 - 34*k**2. Suppose i(t) = 0. Calculate t.
-1, 0, 1
Factor -12*s + 0*s + 4*s**2 - 10 - 6.
4*(s - 4)*(s + 1)
Let h(w) = -7*w**3 + 2*w**2 - 3*w - 2. Let u(f) = 4*f**3 - f**2 + 2*f + 1. Let g(t) = 3*h(t) + 5*u(t). Factor g(i).
-(i - 1)**2*(i + 1)
Let u(a) be the third derivative of -3/35*a**7 - 2/75*a**5 - 2/25*a**6 + 2*a**2 + 0 - 5/168*a**8 + 0*a**4 + 0*a**3 + 0*a. Solve u(c) = 0.
-1, -2/5, 0
Let c be -6*(-7)/84 + 1 + -1. Factor 1/2*x - c*x**3 + 0 + 1/2*x**4 - 1/2*x**2.
x*(x - 1)**2*(x + 1)/2
Let q(p) be the third derivative of p**5/30 + p**4/3 + 4*p**3/3 + 9*p**2. Suppose q(g) = 0. Calculate g.
-2
Let h(q) be the first derivative of q**5/5 + 2*q**4/5 + q**3/15 - q**2/5 - 6. Let h(l) = 0. What is l?
-1, 0, 2/5
Let v(a) be the third derivative of a**7/15 - a**6/12 - 3*a**5/10 + 5*a**4/12 + 2*a**3/3 - 8*a**2. Factor v(x).
2*(x - 1)**2*(x + 1)*(7*x + 2)
Let t(g) be the second derivative of g**5/80 + g**4/24 + g**3/24 + 8*g. Let t(m) = 0. Calculate m.
-1, 0
Let t(o) be the third derivative of o**5/12 - 15*o**4/8 + 20*o**3/3 - 38*o**2. Factor t(c).
5*(c - 8)*(c - 1)
Factor -10/13*x**4 + 0 - 14/13*x**3 + 0*x - 4/13*x**2.
-2*x**2*(x + 1)*(5*x + 2)/13
Find w such that -2/7 + 0*w + 2/7*w**2 = 0.
-1, 1
Let j(w) be the first derivative of -w**8/336 + w**6/60 - w**4/24 + 3*w**2/2 + 1. Let x(f) be the second derivative of j(f). Factor x(m).
-m*(m - 1)**2*(m + 1)**2
Let c(d) be the second derivative of -2*d - 1/9*d**3 + 0 + 0*d**2 + 1/30*d**5 - 1/18*d**4 + 1/45*d**6. Let c(o) = 0. What is o?
-1, 0, 1
Let b(q) be the first derivative of 5*q**6/6 + 11*q**5 + 225*q**4/4 + 135*q**3 + 135*q**2 + 44. Solve b(i) = 0 for i.
-3, -2, 0
Suppose 4*s - 18 + 10 = 0. Find q, given that 4 - 4 - 