h + 1)**2/9
Let l = 13 - 10. Factor -4 - 20*i**l + 8*i**2 + 1 + 20*i - 5.
-4*(i - 1)*(i + 1)*(5*i - 2)
Solve 4 + 3*b**2 - 15*b - 4*b**3 + 6*b**2 + 3*b + 3*b**2 = 0 for b.
1
Let q(u) = -3*u**4 - 3*u**3 + 2*u. Let n be (8/10)/((-2)/(-5)). Let j(b) = 13*b**4 + 13*b**3 - 9*b. Let y(o) = n*j(o) + 9*q(o). Factor y(d).
-d**3*(d + 1)
Let k(t) be the first derivative of -2*t**5/25 + t**4/5 - 2*t**3/15 + 6. Find j, given that k(j) = 0.
0, 1
Let h(t) be the first derivative of 33*t**5/5 + 105*t**4/4 + 39*t**3 + 51*t**2/2 + 6*t + 12. Factor h(b).
3*(b + 1)**3*(11*b + 2)
Let j(v) be the first derivative of v**4/28 + 2*v**3/21 - 3*v**2/14 + 15. Factor j(r).
r*(r - 1)*(r + 3)/7
Let s(q) = 110*q**5 - 65*q**4 - 65*q**3 + 155*q**2 + 45. Let f(a) = 5*a**5 - 3*a**4 - 3*a**3 + 7*a**2 + 2. Let r(v) = 45*f(v) - 2*s(v). Factor r(c).
5*c**2*(c - 1)**2*(c + 1)
Let o(c) = -6*c**2 - 32*c - 18. Let z(f) = 2*f**2 + 11*f + 6. Let l(p) = -3*o(p) - 8*z(p). Factor l(g).
2*(g + 1)*(g + 3)
Let i = 110 - 108. Let 0*j + 0*j**i - 1/5*j**3 + 0 = 0. Calculate j.
0
Let p be (80/15)/(9 + -3). Factor -2/9*u**2 - 8/9 - p*u.
-2*(u + 2)**2/9
Let i(n) be the first derivative of n**5/5 - n**4/4 - n**3 + n**2/2 + 2*n - 12. What is z in i(z) = 0?
-1, 1, 2
Let d(j) = -j**3 - j**2 + j + 1. Let b(u) = 9*u**3 + 11*u**2 - 10*u - 10. Let n(k) = -b(k) - 6*d(k). Find w such that n(w) = 0.
-2, -2/3, 1
Suppose 24*w + 200 = 19*w. Let c be (-10)/27*24/w. Factor 2/9*g**2 + 0 + c*g.
2*g*(g + 1)/9
Let p(m) = m**3 + 11*m**2 - 10*m + 4. Let r(d) = -5*d**3 - 45*d**2 + 40*d - 16. Let c(n) = -26*p(n) - 6*r(n). Factor c(o).
4*(o - 2)*(o - 1)**2
Find r such that 1/4*r**3 + 1/2 + r**2 + 5/4*r = 0.
-2, -1
What is f in -6/11*f**2 - 4/11 - 10/11*f = 0?
-1, -2/3
Suppose -5*q + 0*q - 3 = l, 0 = 4*l - 8. Let g = q - -3. Find p such that 3 + g + p**2 + 2*p - 4 = 0.
-1
Let h(l) be the third derivative of 4*l**7/1365 + l**6/780 - 2*l**5/195 - l**4/156 + 3*l**2. Find t, given that h(t) = 0.
-1, -1/4, 0, 1
Suppose -2*k - s - 7 = 0, 5*s = -0*s + 15. Let b = -3 - k. Factor -2*f + 3 + b*f**2 - 3.
2*f*(f - 1)
Determine k so that 65/6*k**4 + 4*k - 2/3 + 25/2*k**5 - 25/6*k**2 - 21/2*k**3 = 0.
-1, 1/3, 2/5
Let c(g) be the second derivative of g**7/6300 + g**6/300 + 3*g**5/100 + 2*g**4/3 + 4*g. Let i(y) be the third derivative of c(y). Solve i(o) = 0 for o.
-3
Let d be 3/(1 + -7)*4/(-10). Let 0*w + d - 1/5*w**2 = 0. Calculate w.
-1, 1
Let c(m) be the first derivative of -2*m**3/9 + 2*m**2/3 - 2*m/3 - 3. Let c(g) = 0. Calculate g.
1
Let x(a) = 23*a**3 + 11*a**2 - 17*a - 11. Let t(d) = -22*d**3 - 10*d**2 + 18*d + 10. Let f(y) = 3*t(y) + 2*x(y). Suppose f(r) = 0. Calculate r.
-1, -2/5, 1
Let h(g) be the third derivative of -g**5/48 + 35*g**4/24 - 245*g**3/6 - 16*g**2. Factor h(s).
-5*(s - 14)**2/4
Let c(w) = -22*w**3 + 22*w**2 + 22*w - 6. Let z(v) = 7*v**3 - 7*v**2 - 7*v + 2. Let m(d) = 5*c(d) + 16*z(d). Factor m(p).
2*(p - 1)**2*(p + 1)
Suppose 4*g - 22 - 2 = 0. Suppose -2*x = x - g. Determine n so that 0 + 0*n - 1/2*n**5 + 1/2*n**x + 3/2*n**4 - 3/2*n**3 = 0.
0, 1
Let m(f) be the first derivative of -2*f**4 + 4*f**3/3 + 4*f**2 - 4*f + 8. Factor m(j).
-4*(j - 1)*(j + 1)*(2*j - 1)
Let h = -6 - -7. Factor 6*x + 3*x**2 - 10 + 2 - h.
3*(x - 1)*(x + 3)
Let q(u) be the first derivative of -u**6/18 + u**5/5 + u**4/12 - 7*u**3/9 + 4*u/3 + 17. Suppose q(k) = 0. Calculate k.
-1, 1, 2
Factor 5/2*j**4 + 0*j + 0 + 3/2*j**3 + 1/2*j**5 - 9/2*j**2.
j**2*(j - 1)*(j + 3)**2/2
Let o(k) be the first derivative of 0*k**2 + 0*k**3 + 0*k - 2/45*k**5 + 0*k**4 + 7 - 1/27*k**6. Factor o(a).
-2*a**4*(a + 1)/9
Let m(o) be the third derivative of o**6/360 - o**5/120 - o**4/12 + 5*o**3/6 - 4*o**2. Let s(g) be the first derivative of m(g). Suppose s(y) = 0. What is y?
-1, 2
Let y be (-216)/(-81) + (-1 - -2) + -3. What is f in y*f**2 + 8/3*f + 8/3 = 0?
-2
Let f(q) = -q - 5. Let k be f(-8). Let s(j) be the second derivative of 2*j + 1/4*j**k - 1/8*j**4 + 0 + 0*j**2. Factor s(c).
-3*c*(c - 1)/2
Let k be -1 + (1 - 4/(-2)). Let b be k/4*(-16)/(-4). Determine a, given that 0 + 8/3*a**5 - 10/3*a**3 + 2/3*a - b*a**4 + 2*a**2 = 0.
-1, -1/4, 0, 1
Let l(d) be the first derivative of 2/39*d**3 - 1/26*d**4 - 2/13*d - 2 + 1/13*d**2. Factor l(g).
-2*(g - 1)**2*(g + 1)/13
Find u, given that 9*u**3 + 3*u**2 + u - u - 5*u - 3 - 4*u = 0.
-1, -1/3, 1
Let a(w) = w**3 + 5*w**2 - 2. Let m be a(-2). Let c = -8 + m. Factor 2/3 + 4/3*t + 2/3*t**c.
2*(t + 1)**2/3
Let j = 9 + -13. Let z be (j/(-3))/(18/21). Factor 0 + 8/3*r**3 - 4/9*r + 10*r**4 - z*r**2.
2*r*(3*r + 1)**2*(5*r - 2)/9
Let w be (15/10)/(-1 - (-25)/4). Factor 0 + w*f**2 - 2/7*f.
2*f*(f - 1)/7
Let o(d) = 13*d**2 - 8*d. Let c(m) = -25*m**2 + 15*m. Let n(w) = 2*c(w) + 5*o(w). Factor n(y).
5*y*(3*y - 2)
Let v = -7990/9 + 888. Factor v*m**3 + 2/9 + 2/3*m + 2/3*m**2.
2*(m + 1)**3/9
Let g = 6313/5 + -185602/147. Let y(u) be the third derivative of 0*u**5 - 1/1176*u**8 + 0*u**6 + 0*u**4 + 0 + 0*u + 0*u**3 + g*u**7 - u**2. Factor y(x).
-2*x**4*(x - 1)/7
Let p(a) = a + 6. Let u be p(0). Let m(g) = g. Let r be m(u). Factor 3*k**2 + 2*k**4 - r*k**3 - 2*k + 6*k**2 - 3*k**2.
2*k*(k - 1)**3
Let r(u) = u + 17. Let q = 7 - 19. Let k be r(q). Factor -4*t - t**3 - k*t + 3*t + 2 + t + 4*t**2.
-(t - 2)*(t - 1)**2
Suppose -2*p = -2*s - 2, 0 = 2*s + 1 - 3. Let l(o) be the first derivative of 0*o**3 + 2 - o**p + 3/2*o**4 + 0*o + 4/5*o**5. Let l(w) = 0. What is w?
-1, 0, 1/2
Factor -1/2*z**4 + 1/2*z + 1/2*z**2 - 1/2*z**3 + 0.
-z*(z - 1)*(z + 1)**2/2
Suppose 5*t - 23 = -3*p, 3 = -5*t + p + 22. Factor q**4 - q**t + q**3 + 0*q**4 + q**4.
q**3*(q + 1)
Let h = -14 + 24. Factor 3*c + 4 - 4*c**2 + 0*c**3 - h*c**3 + 7*c.
-2*(c - 1)*(c + 1)*(5*c + 2)
Let q(b) be the third derivative of -b**7/42 + b**6/8 - 5*b**2. Factor q(u).
-5*u**3*(u - 3)
Let a(c) be the first derivative of -3/2*c**2 + 0*c**3 + 7 + 3/4*c**4 + 0*c. Determine h so that a(h) = 0.
-1, 0, 1
Let o(h) be the first derivative of -h**6/3 + h**4/2 - 5. Factor o(u).
-2*u**3*(u - 1)*(u + 1)
Let u(x) be the first derivative of 0*x + 1/9*x**3 - 1/3*x**2 - 1/15*x**5 + 4 + 1/6*x**4. Factor u(s).
-s*(s - 2)*(s - 1)*(s + 1)/3
Factor 20 + 3*f**2 - 5 + 823*f - 805*f.
3*(f + 1)*(f + 5)
Let i = -18 + 25. Let v = -7 + i. Solve 0*t**2 + 0 + v*t + 6/5*t**5 + 4/5*t**3 - 2*t**4 = 0 for t.
0, 2/3, 1
Let 4/5*a - 4/5*a**3 + 8/5 - 1/10*a**4 - 3/2*a**2 = 0. Calculate a.
-4, -1, 1
Let a(d) be the first derivative of -16*d**3 - 51*d**2/2 - 3*d - 53. Determine s so that a(s) = 0.
-1, -1/16
Factor 22/9*v**2 + 14/3*v**3 + 10/9*v**5 + 34/9*v**4 + 0 + 4/9*v.
2*v*(v + 1)**3*(5*v + 2)/9
Let b(x) = x**3 - x**2 + x. Let c(q) = q**4 - q**3 + 4*q**2 - 3*q. Let d be 3/(-4) + (-5)/20. Let n(f) = d*c(f) - 3*b(f). Factor n(w).
-w**2*(w + 1)**2
Suppose j = -0*j. Suppose -4*m + 2*o + 4 = j, 3*o - 4 = -5*m + 6*m. Let p**m - 7/3*p + 2/3 = 0. What is p?
1/3, 2
Let n be (-62)/(-36) - (-7 + (-136)/(-16)). Factor -2/9 + 2/9*k**3 - 2/9*k + n*k**2.
2*(k - 1)*(k + 1)**2/9
Factor 0*b**2 + 0 + 2/3*b - 2/3*b**3.
-2*b*(b - 1)*(b + 1)/3
Let l(u) = u**3 + 2*u**2 - 3*u + 1. Let y = -2 - 1. Let i be l(y). Find m such that -i - 4*m - 3*m**2 - m**3 + 4*m - 3*m = 0.
-1
Let t(c) = -c**2 - c + 4. Let r be t(-2). Suppose 2*f = k + 9, -4*f - 2*k + 2 - 4 = 0. Factor -1/2*n**f - 2 + r*n.
-(n - 2)**2/2
Suppose -5 = 2*p - 19. Suppose -p*q = -10*q + 6. Let a + 3/2 + 1/6*a**q = 0. What is a?
-3
Let v(h) be the third derivative of -h**5/60 - h**3/6 + h**2. Let q(l) = -10*l**2 + 12*l - 15. Let d(g) = -q(g) + 6*v(g). Factor d(n).
(2*n - 3)**2
Suppose k - 1 = 2. Let d be k/6*1*4. Factor 2/5*r**4 + 0 + 0*r - 2/5*r**3 - 2/5*r**d + 2/5*r**5.
2*r**2*(r - 1)*(r + 1)**2/5
Suppose -2 = -b + 2*i, 2 + 2 = -4*i. What is s in -6 + 4 + b + 9*s - 3*s**2 - 4 = 0?
1, 2
Let l = -1 + 13. Let l*f**2 + 8*f + 4*f**4 - 32*f**2 - 51*f**3 - 4*f**5 + 63*f**3 = 0. What is f?
-2, 0, 1
Let a(m) be the second derivative of m**7/420 + m**6/60 + m**5/24 + m**4/24 + m**2 + 4*m. Let i(o) be the first derivative of a(o). Factor i(y).
y*(y + 1)**2*(y + 2)/2
Let f be ((-1)/(-1))/((-2)/(-6)). Let 16*q**4 + q + 3 - f - q**2 - 16*q**3 = 0. Calculate q.
-1/4, 0, 1/4, 1
Let v(n) be the second derivative of -n**9/3024 + n**7/280 + n**6/180 - n**3 + 6*n. Let p(c) be the second derivative of v(c). Suppose p(s) = 0. W