 + 2*z**5.
2*z**2*(z + 1)*(z + 3)**2
Let s be (-221)/(-26)*8/2. Let x(p) = p**2 + 16*p - 29. Let j(k) = 40 + 5*k**2 - 215 - 13*k + 109*k. Let f(b) = s*x(b) - 6*j(b). Factor f(t).
4*(t - 4)**2
Suppose -171 = 12*l - 207. Let g(j) be the third derivative of 0*j + 0 + 1/4*j**l - 1/40*j**5 + 3/32*j**4 - 2*j**2. Factor g(t).
-3*(t - 2)*(2*t + 1)/4
Let -8/5*v**2 + 2/5*v**4 + 0 + 2/5*v**3 - 8/5*v = 0. What is v?
-2, -1, 0, 2
Let v(u) be the second derivative of -u**5/10 + u**4/2 + u**3/3 - 3*u**2 + 13*u - 5. Let v(w) = 0. What is w?
-1, 1, 3
Let u(v) be the third derivative of -9*v**2 + 0 + 1/18*v**4 - 2/9*v**3 + 0*v - 1/180*v**5. Find o, given that u(o) = 0.
2
Let q be 8/(-244) - 1530/(-2013). Determine h so that 4/11 + q*h**2 + 2/11*h**3 + 10/11*h = 0.
-2, -1
Let o(c) = -3*c**3 + 5*c**2 + 4*c. Let m be o(2). What is x in -6*x**2 + 3*x**3 + 3*x**5 - 3/2 + 15/2*x**m - 6*x = 0?
-1, -1/2, 1
Let c(n) be the first derivative of -2*n**3/9 - n**2 + 20*n/3 + 185. Factor c(p).
-2*(p - 2)*(p + 5)/3
Find r, given that 0 - 98/3*r - 10*r**3 + 2/3*r**4 + 42*r**2 = 0.
0, 1, 7
Let b(p) be the third derivative of 0 + 0*p**3 + 0*p - 1/1785*p**7 + 1/510*p**5 + 1/340*p**6 - 1/102*p**4 - 1/2856*p**8 + 6*p**2. Suppose b(u) = 0. What is u?
-2, -1, 0, 1
Let v be (-11825)/(-1892) - (10/8 - 0). What is p in -4/9 - 2/9*p**v - 4/3*p**4 - 2*p - 28/9*p**3 - 32/9*p**2 = 0?
-2, -1
Let k(x) be the first derivative of 5*x**6/6 - 7*x**5 + 15*x**4 + 20*x**3/3 - 40*x**2 + 741. Factor k(m).
5*m*(m - 4)*(m - 2)**2*(m + 1)
Let j(l) be the first derivative of 8 + 0*l + 0*l**5 + 0*l**3 + 1/24*l**4 + 2*l**2 - 1/120*l**6. Let m(c) be the second derivative of j(c). Factor m(h).
-h*(h - 1)*(h + 1)
Let q(f) be the third derivative of f**8/2240 - f**6/160 - f**5/80 - 11*f**3/6 - 29*f**2. Let g(h) be the first derivative of q(h). Factor g(y).
3*y*(y - 2)*(y + 1)**2/4
Let q(c) = -c**3 + 2*c**2 + 3*c + 2. Let r be q(3). Let u be (0/r)/((-6)/3). Suppose 5*h**4 + 6*h - 2*h**4 + 3 - 6 - 6*h**3 + u = 0. Calculate h.
-1, 1
Let n = 974 - 974. Factor 3*d**2 + d + 3/2*d**4 + 1/4*d**5 + n + 13/4*d**3.
d*(d + 1)**2*(d + 2)**2/4
Suppose 57 + 39 = 16*s. Let z(a) be the second derivative of -1/60*a**5 + 1/90*a**s - 1/36*a**4 + 0 + 1/18*a**3 - 5*a + 0*a**2. Factor z(b).
b*(b - 1)**2*(b + 1)/3
Let q(d) = 9*d**5 - 18*d**3 - 7*d**2 + 2*d + 7. Suppose 17 - 3 = -2*n. Let p(b) = 3*b**5 - 6*b**3 - 2*b**2 + b + 2. Let y(k) = n*p(k) + 2*q(k). Factor y(x).
-3*x*(x - 1)**2*(x + 1)**2
Suppose 6*i - 3*i = 6. Let y(m) be the second derivative of 0*m**i + 6*m + 1/28*m**7 + 0*m**4 + 1/4*m**3 - 3/20*m**5 + 0*m**6 + 0. Factor y(w).
3*w*(w - 1)**2*(w + 1)**2/2
Suppose 0 = -c - 4*s + 18, -c + s + 22 = 6*s. Suppose -c*j + 7 = 1. Solve v - 5*v**j + 7*v**3 - 3*v**3 = 0.
-1, 0, 1
Determine f so that -63*f**3 - 58*f**3 + 5 - 155*f**2 + 41*f**3 + 249*f - 319*f = 0.
-1, 1/16
Let x(l) be the first derivative of l**5/5 - 2*l**4 + 5*l**3 + 4*l**2 - 16*l + 234. Factor x(j).
(j - 4)**2*(j - 1)*(j + 1)
Let w(o) be the second derivative of o**6/6 - 3*o**5/4 - 5*o**4/6 + 10*o**3 - 20*o**2 + o + 2. Let w(y) = 0. What is y?
-2, 1, 2
Factor -2/11*y**2 - 12/11 + 10/11*y.
-2*(y - 3)*(y - 2)/11
Let a(q) be the first derivative of -q**4/2 + 32*q**3/3 - 52*q**2 + 96*q - 20. Factor a(f).
-2*(f - 12)*(f - 2)**2
Let o(z) = z - 10. Let v be o(14). Suppose v + 0 = 2*u. Let 15 + 22 - 18*r**u - 13 - 21*r**4 - 10*r**3 - 59*r**3 + 84*r = 0. Calculate r.
-2, -2/7, 1
Let q(a) be the first derivative of 5/9*a**2 + 20 + 4/3*a - 4/27*a**3 - 1/18*a**4. Factor q(w).
-2*(w - 2)*(w + 1)*(w + 3)/9
Suppose 0 = 3*v - 2*w - 3, 9 = v - 2*v + 4*w. What is m in -m**2 - v*m**3 + 24 - 8*m**2 + 67*m - 49*m = 0?
-4, -1, 2
Let n(p) be the first derivative of 11*p**6/12 - 53*p**5/10 + 23*p**4/8 + 61*p**3/6 - 17*p**2/2 - 4*p + 161. Find f such that n(f) = 0.
-1, -2/11, 1, 4
Determine h so that 0 + 16/11*h**2 + 14/11*h + 2/11*h**3 = 0.
-7, -1, 0
Let u(p) be the second derivative of -p**7/5040 + p**6/360 - p**5/80 - p**4/6 - 2*p**3/3 + 21*p - 1. Let d(s) be the third derivative of u(s). Factor d(w).
-(w - 3)*(w - 1)/2
Factor 217 - 5*i**2 - 8*i**2 + 203 - 4*i**2 - 88*i + 21*i**2.
4*(i - 15)*(i - 7)
Let w be (0 - -1) + 0/(-3) + -101. Let h = w - -100. Suppose -1/5*r**4 + 1/5*r**3 - 2/5*r**5 + 0 + 0*r + h*r**2 = 0. Calculate r.
-1, 0, 1/2
Factor -8/9*h**3 + 8/9*h + 14/9 - 14/9*h**2.
-2*(h - 1)*(h + 1)*(4*h + 7)/9
Factor 2/5 - 2/5*y**2 + 4/5*y - 4/5*y**3.
-2*(y - 1)*(y + 1)*(2*y + 1)/5
Factor -16/5 + 56*m**3 + 12/5*m**2 - 196/5*m**4 - 16*m.
-4*(m - 1)**2*(7*m + 2)**2/5
Let m(j) be the second derivative of j**8/1680 - j**7/350 + j**6/200 - j**5/300 - 8*j**2 + 6*j. Let v(l) be the first derivative of m(l). Solve v(u) = 0 for u.
0, 1
Let q(i) be the first derivative of 6*i**2 + 12 + 1/180*i**5 + 0*i + 1/2*i**3 + 1/12*i**4. Let j(u) be the second derivative of q(u). Let j(k) = 0. What is k?
-3
Let u be ((-22)/935)/(1/(-5)*1). Factor 6/17*o**3 + u*o**2 + 2/17*o**5 + 6/17*o**4 + 0*o + 0.
2*o**2*(o + 1)**3/17
Let u be (-11 - 1040/(-100))/((-3)/2). What is f in -6/5*f**2 + 4/5 + u*f = 0?
-2/3, 1
Let l(g) be the second derivative of -3*g**5/35 - g**4/4 - 3*g**3/14 + 276*g. Factor l(i).
-3*i*(i + 1)*(4*i + 3)/7
Let -3*w**5 - 224*w**3 - 50*w + 2*w + 248*w**3 = 0. Calculate w.
-2, 0, 2
Let f(h) be the third derivative of h**6/1620 + h**5/540 - h**4/54 + 4*h**3/3 + 8*h**2. Let r(g) be the first derivative of f(g). Factor r(p).
2*(p - 1)*(p + 2)/9
Let x(d) = -11*d + 49. Let b(o) = -22*o + 100. Let k(f) = -3*b(f) + 5*x(f). Let j be k(5). Find c, given that j + 1/5*c + 1/5*c**2 = 0.
-1, 0
Let p(b) be the third derivative of b**9/362880 - b**8/60480 + b**7/30240 + 3*b**5/10 - 17*b**2. Let j(o) be the third derivative of p(o). Factor j(c).
c*(c - 1)**2/6
Let k(o) be the first derivative of 2*o**5/5 + 11*o**4/2 + 28*o**3 + 68*o**2 + 80*o - 121. Solve k(x) = 0.
-5, -2
Let f(t) be the first derivative of 1/7*t**3 - 14 + 3/7*t + 3/7*t**2. Find y such that f(y) = 0.
-1
Find k, given that -44/5*k**2 + 10*k**3 + 6/5*k - 12/5*k**4 + 0 = 0.
0, 1/6, 1, 3
Let x(r) be the third derivative of r**8/80640 + r**7/5040 + r**6/960 - r**5/4 - 7*r**2. Let k(o) be the third derivative of x(o). Factor k(q).
(q + 1)*(q + 3)/4
Let r(w) = w**3 - 11*w**2 + 12*w - 17. Let b be r(10). Solve -6*v**4 + 2 - 64*v**2 + 4*v**3 - b*v + 68*v**2 - 3*v + 2*v**5 = 0 for v.
-1, 1
Let f(o) be the second derivative of o**4/60 - 4*o**3/15 - 9*o**2/10 + 2*o + 13. Factor f(u).
(u - 9)*(u + 1)/5
Let p(d) be the third derivative of -d**8/168 + d**7/15 - 4*d**6/15 + 4*d**5/15 + 4*d**4/3 - 16*d**3/3 + 99*d**2. Factor p(b).
-2*(b - 2)**4*(b + 1)
Suppose -5*m - 15 + 50 = 0. Let b(f) be the third derivative of -1/48*f**4 - 1/40*f**5 + 0 + 1/6*f**3 + 1/240*f**6 + 0*f + 1/420*f**m + 3*f**2. Factor b(q).
(q - 1)**2*(q + 1)*(q + 2)/2
Let d be (-429)/78 - (-258)/44. Determine a, given that -d*a - 14/11*a**2 + 18/11*a**3 + 0 = 0.
-2/9, 0, 1
Let z be (6/4)/((-6)/(-64)). Factor 9*h**3 - z*h**3 + 3*h**3 + h**3 + 6*h**4 + 3 - 9*h**2 + 3*h.
3*(h - 1)**2*(h + 1)*(2*h + 1)
Factor 20/7*i**3 - 48/7*i + 16*i**2 + 0.
4*i*(i + 6)*(5*i - 2)/7
Factor 3*y**2 + 24/7*y - 12/7 - 15/7*y**3.
-3*(y - 2)*(y + 1)*(5*y - 2)/7
Let i(w) = -w**3 + 5*w**2 - 3*w + 5. Let g be i(4). Let z be (-1 + (-303)/g)*-3. Let 107*c**2 - 1 - 2 - z*c**2 = 0. Calculate c.
-1, 1
Suppose -24 = -3017*s + 3011*s. Suppose 2/15*n**s - 2/15*n**3 + 0 + 2/15*n**5 + 0*n - 2/15*n**2 = 0. Calculate n.
-1, 0, 1
Let u = -79 + 92. Determine z, given that -8*z**2 + 6*z - 2*z + u*z**2 - 8*z**2 - z**3 = 0.
-4, 0, 1
Let u(h) be the second derivative of -33*h**5/20 + h**4/4 + 11*h**3/2 - 3*h**2/2 - 5*h + 4. Factor u(k).
-3*(k - 1)*(k + 1)*(11*k - 1)
Let o(p) be the third derivative of p**8/141120 - p**7/11760 + p**6/2520 - p**5/30 - 10*p**2. Let c(g) be the third derivative of o(g). Factor c(x).
(x - 2)*(x - 1)/7
Find a, given that 1/5*a**4 + 0 + 0*a + 12/5*a**2 + 7/5*a**3 = 0.
-4, -3, 0
Let n(x) = -9*x**5 - 3*x**2 + 5*x**4 - 8*x**4 - 6*x**4 + x**3 - 4*x**3. Let w(v) = 8*v**5 + 9*v**4 + 4*v**3 + 3*v**2. Let s(b) = -5*n(b) - 6*w(b). Factor s(h).
-3*h**2*(h + 1)**3
Suppose 0 = -29*a + 9*a. Let x(o) be the third derivative of 0*o + 1/270*o**5 + 0 + 0*o**3 + a*o**4 - 4*o**2. Let x(r) = 0. What is r?
0
Let j(x) be the second deriv