0 + u**5/160 - u**4/3 + 8*u**2. Let b(w) be the second derivative of j(w). Solve b(n) = 0.
-1, 1
Suppose 7*m - 2*m = 35. Let k(y) = -y**2 - y - 3. Let x(j) = 2*j**2 + 2*j + 7. Let f(o) = m*k(o) + 3*x(o). Factor f(c).
-c*(c + 1)
Let v(u) be the first derivative of -u**5/15 + 2*u**4/9 + 12*u - 12. Let k(y) be the first derivative of v(y). Factor k(x).
-4*x**2*(x - 2)/3
Let q(z) = z**5 + 139*z**4 + 134*z**3 - 4*z**2 - 4*z. Let p(h) = -10*h**5 - 1530*h**4 - 1475*h**3 + 45*h**2 + 45*h. Let y(d) = 4*p(d) + 45*q(d). Factor y(b).
5*b**3*(b + 1)*(b + 26)
Let y(q) be the third derivative of -q**5/12 - 3*q**4/8 + q**3/2 - 9*q**2. Let m(z) = 9*z**2 + 17*z - 5. Let t(v) = 3*m(v) + 5*y(v). Factor t(i).
2*i*(i + 3)
Let d(u) be the second derivative of 0 + 1/40*u**5 - 13/12*u**3 + 7/24*u**4 + 3/2*u**2 - 1/60*u**6 - 26*u. Solve d(k) = 0.
-3, 1, 2
Let w(r) = -r**2 + 3*r - 2. Let a(n) = n**2 + 2*n**2 - 12*n**2 + 30*n - 21. Suppose 12*d = 8*d - 84. Let l(t) = d*w(t) + 2*a(t). Find h such that l(h) = 0.
0, 1
Let c = -483 + 486. Let o(m) be the third derivative of 8/9*m**c - 5*m**2 + 1/45*m**5 + 0 + 2/9*m**4 + 0*m. Factor o(i).
4*(i + 2)**2/3
Let r(i) be the first derivative of i**6/27 + 68*i**5/45 + 107*i**4/9 - 2512*i**3/27 + 1729*i**2/9 - 1444*i/9 - 233. Let r(k) = 0. Calculate k.
-19, 1, 2
Let o be -7*(-1 - -4)/3. Let h = o + 13. Factor 2*s**2 + 2/9*s**3 + 6*s + h.
2*(s + 3)**3/9
Suppose -3*b - 4 = 2*h - 0, -5*h - 19 = 3*b. Find a such that 0*a**2 + 24 - 16 + 12*a + 4*a**b = 0.
-2, -1
Determine b so that 0 - 16/23*b**3 - 2/23*b**5 + 0*b + 0*b**2 + 18/23*b**4 = 0.
0, 1, 8
Let f = 590 + -590. Let c(m) = -m**3 + 11*m**2 - 11*m + 14. Let p be c(10). Suppose -3/5*z - 18/5*z**3 - 3/5*z**5 + f - 12/5*z**2 - 12/5*z**p = 0. Calculate z.
-1, 0
Let -11*v + 151*v**2 - 2 + 6 - 142*v**2 - v**4 - v**3 = 0. What is v?
-4, 1
Let f(u) be the third derivative of 0 + 33*u**2 + 1/30*u**5 - 1/60*u**6 - 1/3*u**3 + 1/12*u**4 + 0*u. Factor f(d).
-2*(d - 1)**2*(d + 1)
Determine n so that -250/19*n**5 - 48/19*n - 104/19*n**2 + 340/19*n**3 + 0 + 650/19*n**4 = 0.
-2/5, 0, 2/5, 3
Let s(x) = -5*x - 39. Let z be s(-9). Let k be z/(-5) + 8/4. Factor 2/5*l + 2/5*l**5 - 2/5*l**4 + k*l**2 - 4/5*l**3 - 2/5.
2*(l - 1)**3*(l + 1)**2/5
Solve 52*k**4 - 4792/3*k**2 + 1708*k + 4/3*k**5 + 424*k**3 - 588 = 0 for k.
-21, 1
Let u be (-7 + 7)/(-1) - 0. Let s(a) be the third derivative of 0 - 3*a**2 + u*a + 2/15*a**4 + 2/5*a**3 + 1/75*a**5. Factor s(n).
4*(n + 1)*(n + 3)/5
Let f = 16 - 3. Suppose -5*m - 5*l = -6*l - f, -22 = -4*m - 5*l. Factor 1 + 8*d**2 + d - 3 - 6*d**m - 2 + d.
-2*(d - 1)**2*(3*d + 2)
Let x(f) = 2*f**2 + 54*f - 53. Let o be x(-28). Suppose -5*n + o = -4*s - 32, 4*n - 17 = s. Factor 3/2*q**2 - 3/2*q**4 - 3/4*q + 0 + 3/4*q**5 + 0*q**n.
3*q*(q - 1)**3*(q + 1)/4
Let i(z) be the second derivative of z**6/75 - 7*z**4/30 - 2*z**3/5 - 2*z + 21. Solve i(s) = 0.
-2, -1, 0, 3
Let n(k) be the second derivative of -k**4/84 + k**3/14 + 5*k**2/7 + 82*k + 2. Factor n(l).
-(l - 5)*(l + 2)/7
Let x(g) be the second derivative of -64*g**2 - 12*g + 1/80*g**5 + 8*g**3 - 1/2*g**4 + 0. Factor x(v).
(v - 8)**3/4
Let t(d) = 5*d**5 - 15*d**4 + 5*d**3 + 15*d**2 - 25*d. Let x be (3/(-3) + -2)*5. Let h(k) = -k. Let r(v) = x*h(v) + t(v). Factor r(m).
5*m*(m - 2)*(m - 1)**2*(m + 1)
Let t(y) = -y**3 - 19*y**2 + 18*y - 38. Let r be t(-20). Factor 1/3*f - 1/3*f**r + 2/3.
-(f - 2)*(f + 1)/3
Suppose -18*v + 6*v - 9*v = -42. Factor 14/3*q + 2/3*q**v + 0.
2*q*(q + 7)/3
Factor 0*c**2 - 4/7*c**4 + 0 - 2/7*c**5 + 6/7*c**3 + 0*c.
-2*c**3*(c - 1)*(c + 3)/7
Let p(r) be the third derivative of -169*r**5/12 + 65*r**4/12 - 5*r**3/6 + 132*r**2. Factor p(d).
-5*(13*d - 1)**2
Let h(i) be the third derivative of 1/12*i**5 + 0*i - 29*i**2 + 5/6*i**3 + 0 + 5/12*i**4. Let h(w) = 0. What is w?
-1
Factor -6 - 8/3*d**3 + 8*d - 2/3*d**4 + 4/3*d**2.
-2*(d - 1)**2*(d + 3)**2/3
Factor -105/4*w + 6 + 21/8*w**3 + 141/8*w**2.
3*(w - 1)*(w + 8)*(7*w - 2)/8
Factor 160*v**3 - 58*v**3 - 48*v**3 + 6*v**2 - 10*v - 50*v**3.
2*v*(v - 1)*(2*v + 5)
Let v(x) be the third derivative of x**6/360 - 7*x**5/60 + 5*x**4/18 - 70*x**2. Factor v(g).
g*(g - 20)*(g - 1)/3
Let w(s) be the third derivative of s**8/140 - 3*s**6/200 + s**5/100 + 6*s**2 + 10*s. Find a, given that w(a) = 0.
-1, 0, 1/2
Suppose 2*w - b + 78 = 79, 37 = 4*w + 5*b. Let f(m) be the second derivative of 0*m**2 + 1/22*m**w + 0 + 1/132*m**4 - m. Determine t so that f(t) = 0.
-3, 0
Suppose -2*n = 2 + 2. Let b be ((-24)/9 - n)/((-4)/9). Determine p, given that 9*p**2 + b + 6*p**3 + 6*p + 3/2*p**4 = 0.
-1
Let u(l) = -25*l**3 + 85*l**2. Let f(g) = -2*g**3 + 7*g**2. Let v be (105/(-20))/(-7)*4. Let a(z) = v*u(z) - 35*f(z). Determine m so that a(m) = 0.
0, 2
Suppose -8*p - 2640 = -23*p. Suppose 17*u = 6*u + p. Find n, given that -8/3 - 30*n**2 + 50/3*n**3 + u*n = 0.
2/5, 1
Let n(v) be the second derivative of -v**7/945 - v**6/540 + v**5/270 + v**4/108 + 4*v**2 + 14*v. Let b(g) be the first derivative of n(g). Factor b(y).
-2*y*(y - 1)*(y + 1)**2/9
Let c(f) be the third derivative of f**9/20160 + f**8/2240 - f**6/60 + 13*f**5/60 + 36*f**2. Let i(g) be the third derivative of c(g). Factor i(a).
3*(a - 1)*(a + 2)**2
Let r(d) be the second derivative of 5*d - 1/30*d**4 + 1/75*d**6 - 2/15*d**3 + 1/25*d**5 + 0*d**2 + 0. Factor r(i).
2*i*(i - 1)*(i + 1)*(i + 2)/5
Let x(r) be the second derivative of -2*r**6/15 + 2*r**5/5 + r**4 + 31*r - 1. What is h in x(h) = 0?
-1, 0, 3
Suppose -2*v + 4 = 0, 0*v - 68 = -2*y - 3*v. Factor 80*q - 19*q**2 - 18*q**2 - y*q**2 + 5*q**3 - 60 + 33*q**2.
5*(q - 3)*(q - 2)**2
Let w(a) be the first derivative of a**3/5 + 3*a**2/10 - 216*a/5 + 147. Factor w(m).
3*(m - 8)*(m + 9)/5
Let 18/5*w + 0*w**3 + 0 - 18/5*w**5 + 12*w**2 - 12*w**4 = 0. Calculate w.
-3, -1, -1/3, 0, 1
Let s(o) be the second derivative of o**5/60 + o**4/12 - 5*o**3/9 - o + 6. Find m, given that s(m) = 0.
-5, 0, 2
Let n = -42/433 + 36582/2165. Factor -12/5 - n*p**2 - 24/5*p**4 + 3/5*p**5 + 51/5*p + 66/5*p**3.
3*(p - 4)*(p - 1)**4/5
Factor -z**4 - 8*z + 276*z**3 + 276*z**3 - 549*z**3 + 6*z**2.
-z*(z - 4)*(z - 1)*(z + 2)
Let v(m) = -m**2 - m + 1. Let x(t) = 3 + 13*t - 1 - 4*t**2 - 9*t. Let k(o) = -2*v(o) + x(o). Factor k(a).
-2*a*(a - 3)
Let x be 0*(35/10 - 3). Suppose 0 = y + 2*n - 6, 3*y + n = -x*n + 8. Suppose -4*i**4 + 2*i**2 - i**y - 4*i + 6*i**3 - i**2 + 6*i**2 = 0. What is i?
-1, 0, 1/2, 2
Let c(d) be the first derivative of -2*d**2 + 27 + 7/4*d**4 - 4*d**3 + 0*d. Solve c(h) = 0 for h.
-2/7, 0, 2
Let i(l) = -9*l**5 - 340*l**4 - 11*l**3 + 22*l - 11. Let u(m) = -2*m**5 - 68*m**4 - 2*m**3 + 4*m - 2. Let n(g) = -2*i(g) + 11*u(g). What is v in n(v) = 0?
-17, 0
Suppose 4*f - 26 = -2*x + 14, -4*x = -8. Factor 10 + 30*t + 3*t**4 + f + 36*t**2 - 5 - 5 + 18*t**3.
3*(t + 1)**3*(t + 3)
Let s(o) be the third derivative of -o**7/210 + o**6/12 - 23*o**5/60 + 7*o**4/12 - 967*o**2. Let s(b) = 0. Calculate b.
0, 1, 2, 7
Let y = 210 + -207. Let c(l) be the third derivative of 0*l + 0*l**4 + 0 + 1/210*l**7 + 1/60*l**6 + 6*l**2 + 0*l**y + 1/60*l**5. Factor c(f).
f**2*(f + 1)**2
Let r(p) be the second derivative of -p**5/100 + 7*p**3/30 - 3*p**2/5 - p + 49. Solve r(j) = 0.
-3, 1, 2
Let n(a) be the second derivative of -a**7/168 + a**6/20 - 7*a**5/80 - a**4/8 + a**3/3 + 174*a. Determine x so that n(x) = 0.
-1, 0, 1, 2, 4
Let d = -5 + 8. Suppose -d*g = -8*g. Solve -2*q**3 - 5 + 2*q**2 + g*q + 2*q + 2 + 1 = 0 for q.
-1, 1
Suppose g + 11 = 3*t, t - 3*g - 11 = -2. Let w(p) be the first derivative of 2/3*p - t + p**2 + 2/3*p**3 + 1/6*p**4. Let w(c) = 0. What is c?
-1
Factor 58*t**2 + 84*t - 3*t**3 + 61*t**2 + 0*t**3 - 155*t**2 + 48*t**2 + 96.
-3*(t - 8)*(t + 2)**2
Suppose -10*f - 1 = -25 + 4. Suppose -2/7*v**f + 2/7 + 2/7*v - 2/7*v**3 = 0. What is v?
-1, 1
Let h(j) be the first derivative of 2*j**7/735 - j**6/35 + 4*j**2 - 17. Let b(w) be the second derivative of h(w). Determine c so that b(c) = 0.
0, 6
Let l(u) = -5*u**4 - 12*u**3 - 7*u**2 + 2*u. Let s(b) = b**4 - b**2 - b. Let x(k) = -l(k) - 2*s(k). Factor x(m).
3*m**2*(m + 1)*(m + 3)
Let c be ((-2)/9 + (-306)/(-1134))*1. Let n(g) be the first derivative of 0*g + 16/21*g**3 + 12/35*g**5 - 6/7*g**4 - c*g**6 + 0*g**2 + 3. Factor n(p).
-2*p**2*(p - 2)**3/7
Let l(r) be the third derivative of -r**6