 + 8*i + 5. Let c(k) = 11*k**2 + 17*k + 11. Suppose -2*n - n = 6. Let h(o) = n*c(o) + 5*z(o). Factor h(w).
3*(w + 1)**2
Let z = -65 + 717/11. Factor -2/11*v**3 + 2/11*v**2 - 2/11 + z*v.
-2*(v - 1)**2*(v + 1)/11
Let i(o) be the second derivative of -o**6/135 + o**5/10 - 11*o**4/27 + 32*o**2/9 - 31*o. Let i(c) = 0. Calculate c.
-1, 2, 4
Suppose 0*w + 3 = w. Solve -9*o**4 + 2*o**w + 71*o**2 + 7*o**5 - 71*o**2 = 0.
0, 2/7, 1
Let z(n) be the second derivative of n**4/3 - 20*n**3/3 + 50*n**2 + 2*n. Factor z(k).
4*(k - 5)**2
Let s(v) = v**2 - 5*v + 6. Let l be s(4). Factor 8*y**2 - 4*y - 2*y**2 - 8*y**l.
-2*y*(y + 2)
Let z(d) be the third derivative of 0 + 0*d - 1/12*d**3 - 4*d**2 - 1/480*d**5 - 1/48*d**4. Determine q, given that z(q) = 0.
-2
Suppose -7 = -3*m + 6*a - 5*a, 2*a + 6 = 4*m. Factor 0*k + 5*k**2 - m*k**2 + k.
k*(k + 1)
Let x(n) be the first derivative of n**6/240 + n**5/40 + n**4/16 + n**3/12 + 2*n**2 + 3. Let s(g) be the second derivative of x(g). Solve s(h) = 0 for h.
-1
Let d(f) = f**4 + f**2 + 1. Let n(s) = 6*s**4 - 3*s**3 + 7*s**2 + 5. Let b(z) = -5*d(z) + n(z). Suppose b(l) = 0. What is l?
0, 1, 2
Let p(f) be the third derivative of 2*f**7/105 - f**5/15 + f**2. Factor p(m).
4*m**2*(m - 1)*(m + 1)
Let x(z) = -z - 8. Suppose -5*g - 39 = 11. Let r be x(g). Determine y so that -y**4 + 3*y**3 + 1 + 3 - 6 + 4 - y**r - 3*y = 0.
-1, 1, 2
Let j(t) = -2*t**3 - t**2 - 4*t + 2. Let u be j(0). Find z, given that -2/7 + 0*z + 18/7*z**u - 8/7*z**3 - 24/7*z**4 = 0.
-1, -1/3, 1/2
Let u(g) = g**2 - 8*g + 12. Let v(f) = 7*f**2 - 2*f + 1. Let h be v(1). Let i be u(h). Determine s, given that 0*s**3 + 1/2 + 1/2*s**4 + i*s - s**2 = 0.
-1, 1
Solve -2*d**4 - 2/5 - 2*d - 4*d**3 - 2/5*d**5 - 4*d**2 = 0 for d.
-1
Factor 3*b + 4*b**2 + 2*b**2 + 0*b**2.
3*b*(2*b + 1)
Let b be -68 + -3*2/3. Let p be (-1)/2 - 135/b. Factor 10/7*s + 2/7*s**5 + p*s**4 + 20/7*s**2 + 20/7*s**3 + 2/7.
2*(s + 1)**5/7
Factor -1/12*s**2 + 1/12*s + 1/2.
-(s - 3)*(s + 2)/12
Let n(g) be the second derivative of -g**6/30 + g**4/12 + 3*g. Factor n(d).
-d**2*(d - 1)*(d + 1)
Let h(l) be the second derivative of l**7/294 - 4*l**6/105 + 5*l**5/28 - 19*l**4/42 + 2*l**3/3 - 4*l**2/7 - 2*l. Suppose h(i) = 0. Calculate i.
1, 2
Let r be (-138)/24 + 6 + (-1)/(-4). Factor -r*t + 0 + 1/4*t**2.
t*(t - 2)/4
Let c(r) = -5*r - 102. Let n be c(-21). Let z(s) be the second derivative of 0 - 1/15*s**n - 2*s + 0*s**2 - 1/30*s**4. Let z(l) = 0. Calculate l.
-1, 0
Factor p**3 - p**2 + 0*p**2 + 3*p**2 + p**2.
p**2*(p + 3)
What is f in -28/9*f**4 + 8/3 - 28/9*f - 52/3*f**2 - 44/3*f**3 = 0?
-3, -1, 2/7
Let g(o) be the third derivative of -o**7/84 + o**6/30 - o**5/40 - o**2. Let g(i) = 0. Calculate i.
0, 3/5, 1
Let u be (-4)/8*-2 - 0. Let i be -5*u*6/(-45). Find m, given that -2/3*m - 4/3 + i*m**2 = 0.
-1, 2
Let t(j) be the third derivative of -j**5/270 + j**4/36 + 7*j**2. Factor t(o).
-2*o*(o - 3)/9
Let m(a) be the third derivative of 2/9*a**3 + 1/180*a**5 + 0*a + 0 - 2*a**2 - 1/18*a**4. Factor m(l).
(l - 2)**2/3
Let t(v) be the first derivative of v**3/6 - v**2/4 + 3. Find s such that t(s) = 0.
0, 1
Let u be 2*(18/8 + -2). Let j(p) be the first derivative of -u*p**2 + 1/3*p**3 - 1/12*p**4 + 1/3*p + 1. Factor j(v).
-(v - 1)**3/3
Let l(b) be the third derivative of -b**6/120 + b**5/30 + b**4/24 - b**3/3 + 27*b**2. Find o, given that l(o) = 0.
-1, 1, 2
Let i(b) = b**2. Let w = -2 - 1. Let d be ((-2)/w)/(2/3). Let h(f) = -3*f**2 - 2*f. Let t(z) = d*h(z) + 2*i(z). Determine q, given that t(q) = 0.
-2, 0
Suppose -5*j + 4*y = -6, y + 3*y = -j + 6. Suppose 4*a + 16 = -2*x, 0*x - j*a = -x + 8. Find u such that -2*u + u**2 - u + x*u**2 + 4*u = 0.
-1, 0
Suppose 250*o - 255*o = 0. Let m(f) be the second derivative of o*f**2 - 1/12*f**3 - 2*f + 0*f**5 + 0 - 1/16*f**4 + 1/120*f**6. Factor m(c).
c*(c - 2)*(c + 1)**2/4
Let k(q) be the first derivative of 1/14*q**4 + 0*q**2 - 2/21*q**3 + 0*q + 4. Suppose k(b) = 0. What is b?
0, 1
Suppose 3 = 4*q - 0*q + 5*v, 0 = -2*q - 4*v. Suppose d = -q*d. Factor -1/4*o**2 + 1/4 + d*o.
-(o - 1)*(o + 1)/4
Factor -2/5*t**2 - 4/5*t + 6/5.
-2*(t - 1)*(t + 3)/5
Let s(t) be the second derivative of 0 + 1/120*t**5 + 0*t**3 + 3*t + 1/24*t**4 - t**2. Let c(g) be the first derivative of s(g). Factor c(q).
q*(q + 2)/2
Suppose 0 + 0*d**3 - 1/3*d + 2/3*d**4 - 2/3*d**2 + 1/3*d**5 = 0. Calculate d.
-1, 0, 1
Let p(z) be the third derivative of -7/48*z**4 + 0 + 0*z - 1/30*z**5 - 4*z**2 + 1/6*z**3. Factor p(m).
-(m + 2)*(4*m - 1)/2
Let w(l) be the second derivative of 0 - 3/2*l**3 - 9*l**2 + l - 1/6*l**4. Let k(i) = -4*i**2 - 17*i - 36. Let c(h) = 3*k(h) - 7*w(h). Let c(p) = 0. What is p?
-3
Let h(o) be the third derivative of -3/40*o**6 + 3/2*o**4 + 0 - 9/112*o**8 - 2*o**2 + 4/3*o**3 - 9/35*o**7 + 23/30*o**5 + 0*o. Factor h(n).
-(n - 1)*(n + 1)*(3*n + 2)**3
Let w(u) be the first derivative of 4*u**5/35 + u**4/14 - 2*u**3/21 - 15. Determine b, given that w(b) = 0.
-1, 0, 1/2
Let s(f) be the first derivative of f**5/80 - f**4/96 + 2*f**2 - 4. Let m(b) be the second derivative of s(b). Find v such that m(v) = 0.
0, 1/3
Suppose 2*y + 1 - 3 = 0. Let i = 2 + y. Determine b, given that -1 - b + 3*b**2 - 4*b**2 + 0*b**i + 2*b**2 + b**3 = 0.
-1, 1
Let x(n) be the second derivative of n**5/20 + n**4/12 - n**3/3 + 2*n. Factor x(q).
q*(q - 1)*(q + 2)
Let c = 2/1473 + 2936/7365. Factor -2/5*p**5 + 0 + 2/5*p**3 + c*p**2 - 2/5*p**4 + 0*p.
-2*p**2*(p - 1)*(p + 1)**2/5
Let x(a) be the second derivative of -a**7/315 - 3*a**2/2 + a. Let c(h) be the first derivative of x(h). Factor c(i).
-2*i**4/3
Factor 2/5*n**4 + 2/5*n**2 + 0 + 8/5*n**3 - 12/5*n.
2*n*(n - 1)*(n + 2)*(n + 3)/5
Let v(o) be the first derivative of -o**6/30 - o**5/20 + o**4/12 + o**3/6 + 2*o - 2. Let u(a) be the first derivative of v(a). Factor u(z).
-z*(z - 1)*(z + 1)**2
Let c(p) = -p**2 - p. Let z(f) = -f**4 - 10*f**3 - 26*f**2 - 24*f - 7. Let m(k) = 2*c(k) - z(k). Let m(q) = 0. What is q?
-7, -1
Let v(q) be the second derivative of 0 + 0*q**5 + 1/63*q**7 - 1/9*q**4 + 0*q**2 - 1/9*q**3 + q + 2/45*q**6. Factor v(c).
2*c*(c - 1)*(c + 1)**3/3
Find k, given that -3*k**3 - 7*k**4 - 6*k**3 - k**3 - 2*k**2 + k**3 = 0.
-1, -2/7, 0
Factor -25/4*z**4 - 6*z**2 + 45/4*z**3 + z + 0.
-z*(z - 1)*(5*z - 2)**2/4
Let c be 22/(-55) - 2/(-5). Factor c - 1/2*y**2 - 1/2*y.
-y*(y + 1)/2
Let d(z) = 8*z**4 + 16*z**3 - 4. Let v(s) = 9*s**4 + 17*s**3 - 5. Let n(q) = -5*d(q) + 4*v(q). Factor n(k).
-4*k**3*(k + 3)
Let n(j) be the third derivative of 0*j + 31/65*j**5 + 0 + 7/195*j**7 - 35/156*j**6 + j**2 + 8/39*j**3 - 17/39*j**4. Determine b so that n(b) = 0.
2/7, 1, 2
Factor 0 - 2/5*o - 1/5*o**2.
-o*(o + 2)/5
Let c(d) be the first derivative of -d**5/180 + d**3/18 - d**2/2 - 3. Let t(z) be the second derivative of c(z). Factor t(a).
-(a - 1)*(a + 1)/3
Suppose 7*c - 9*c = -4. Solve 4/9*u + 2/9 + 2/9*u**c = 0.
-1
Let a(d) be the first derivative of 2*d**5/15 + d**4/2 - 8. Factor a(f).
2*f**3*(f + 3)/3
Let c(a) be the third derivative of a**7/840 + a**6/240 - a**4/12 + 4*a**2. Let y(r) be the second derivative of c(r). Factor y(t).
3*t*(t + 1)
Suppose -3*j = j - 32. Factor -4 + 2*w - 3*w**3 + 4 - j*w + 9*w**2.
-3*w*(w - 2)*(w - 1)
Let a(r) = -5*r - 6. Let n be a(-2). Let c(z) be the first derivative of -20/3*z**3 + 0*z - 16*z**5 - 33/2*z**n - 16/3*z**6 - z**2 + 4. Factor c(u).
-2*u*(u + 1)**2*(4*u + 1)**2
Suppose -4*d - 2 - 10 = 0, 5*s = -5*d. Factor 1/3*m**2 + s - 2*m.
(m - 3)**2/3
Let q(t) be the first derivative of t**6/24 + t**5/20 - t**4/16 - t**3/12 - 24. Suppose q(x) = 0. What is x?
-1, 0, 1
Let r = -6 - -3. Let d(x) = 6*x**3 - 3*x**2 + 4*x - 4. Let s(m) = 5*m**3 - 2*m**2 + 3*m - 3. Let g(n) = r*d(n) + 4*s(n). Factor g(w).
w**2*(2*w + 1)
Factor -17*k + 5*k - 5*k**3 + 25*k**2 - 23*k + 15.
-5*(k - 3)*(k - 1)**2
Let o(d) be the first derivative of -d**3/12 - d**2 - 4*d - 2. Find n such that o(n) = 0.
-4
Let m(k) = 160*k**3 - 16*k**2 - 88*k - 28. Let b(a) = 29*a**3 - 3*a**2 - 16*a - 5. Let h(z) = -28*b(z) + 5*m(z). Solve h(v) = 0 for v.
-2/3, 0, 1
Let q = -1/7 - -9/14. Factor 1 + q*g - 1/2*g**2.
-(g - 2)*(g + 1)/2
Let p be (16/14)/(17/(714/36)). Factor -2*r**2 - 4/3*r**3 - 1/3 - p*r - 1/3*r**4.
-(r + 1)**4/3
Solve 519*q**3 - 1 + 15*q**2 - 4 - 509*q**3 = 0 for q.
-1, 1/2
Let z(f) = -f**2 - 1