 9*f**2. Factor z(u).
-(u - 1)*(u + 1)/5
Let i = -408 + 747. Let v = 3059/9 - i. Factor -2/9*x**2 - 8/9*x - v.
-2*(x + 2)**2/9
Let y(q) be the second derivative of 0*q**2 - 1/147*q**7 - 1/35*q**5 + 0*q**4 + 0*q**3 - 1/35*q**6 + 0 - 8*q. Factor y(x).
-2*x**3*(x + 1)*(x + 2)/7
Let z(y) be the first derivative of 1/2*y**4 - 6 + 0*y + 1/3*y**6 + 4/5*y**5 + 0*y**3 + 0*y**2. Factor z(g).
2*g**3*(g + 1)**2
Let s(h) = 2*h**2 - 3*h + 3. Let v(p) = -p**2 + 2*p - 2. Let j be -3 - -3 - (3 + 1). Let b = 9 + j. Let m(r) = b*v(r) + 2*s(r). Find u such that m(u) = 0.
2
Suppose 0 = -w - 4*w + 135. Factor 5 + w*g**2 + 43*g - 124*g - 3*g**3 + 76.
-3*(g - 3)**3
Let i = -12/13 + 589/624. Let a(q) be the second derivative of q + 0*q**2 + i*q**4 - 1/24*q**3 + 0. Factor a(w).
w*(w - 1)/4
Let n(l) be the second derivative of l**5/60 + 7*l**4/36 + 4*l**3/9 - 8*l**2/3 + 51*l. Suppose n(j) = 0. What is j?
-4, 1
Let a be 2/(-4)*0 + 365. Let z = a - 4001/11. Factor -4/11 - z*b + 10/11*b**2 + 8/11*b**3.
2*(b - 1)*(b + 2)*(4*b + 1)/11
Let j(y) be the first derivative of -18*y**5/65 - 3*y**4/26 + 4*y**3/3 + 28*y**2/13 + 16*y/13 - 40. Determine w so that j(w) = 0.
-1, -2/3, 2
Let d(r) = -r - 4. Let p be d(-7). Let l(k) = 10 - 1 - 20*k + p*k + 4*k**2. Let m(j) = 3*j**2 - 18*j + 10. Let h(u) = 6*l(u) - 5*m(u). Factor h(w).
(3*w - 2)**2
Factor 5*j**2 + 7*j**2 - 4*j + 2*j**3 - 10*j**2.
2*j*(j - 1)*(j + 2)
Let j(k) = -k**2 - k + 1. Let r = 1 + -4. Let w(v) = -4*v**2 - 5*v + 2. Let z(q) = r*j(q) + w(q). Solve z(o) = 0 for o.
-1
Let h(a) be the first derivative of 5*a**4/4 - 5*a**2/2 + 5. Let h(i) = 0. Calculate i.
-1, 0, 1
Suppose 2*w = 3*p + 2, -5*p + 7*w - 3*w - 6 = 0. Suppose 6*d + 0*d - 18 = 0. Let 2*v - 3 + d + p*v**2 = 0. What is v?
-1, 0
Factor -9 - p**3 + 5*p**2 - 8*p - 13*p + 18*p.
-(p - 3)**2*(p + 1)
Suppose 0 = c - 3 + 1. Let o be (c/4)/((-9)/(-27)). Suppose -o*b + 3/2*b**2 + 1/2 - 1/2*b**3 = 0. Calculate b.
1
Let p be ((-22)/4 - -2)*2. Let y(x) = x**3 + 6*x**2 - 8*x - 4. Let n be y(p). Factor -4*q - n*q**3 + 2*q**2 - 4*q**2 + 7*q**3 + 2*q**4.
2*q*(q - 1)*(q + 1)*(q + 2)
Factor -28*y**2 + 16*y**2 + 3 + 13*y**2 + 4*y.
(y + 1)*(y + 3)
Let l(r) = -6*r**4 - 2*r**3 + 4*r**2 + 2*r + 2. Let z(n) = n**3 + n**2 + n + 1. Let d(o) = l(o) - 2*z(o). Factor d(p).
-2*p**2*(p + 1)*(3*p - 1)
Let n(v) be the first derivative of 1/12*v**6 - 1/4*v**4 + 3 + 0*v + 0*v**5 + 1/4*v**2 + 0*v**3. Suppose n(g) = 0. What is g?
-1, 0, 1
Let r(o) be the first derivative of -o**7/630 - o**6/360 + o**5/180 + o**4/72 - o**2/2 - 5. Let d(m) be the second derivative of r(m). Factor d(s).
-s*(s - 1)*(s + 1)**2/3
Suppose 3*g = -0*g. Factor -1/3*c**4 + 0*c + g*c**2 + 0 - 1/3*c**3.
-c**3*(c + 1)/3
Let f(b) = -8*b**5 + 20*b**4 + 8*b**3 + 8*b**2 + 14*b - 14. Let l(o) = 3*o**5 - 7*o**4 - 3*o**3 - 3*o**2 - 5*o + 5. Let r(d) = -5*f(d) - 14*l(d). Factor r(t).
-2*t**2*(t - 1)*(t + 1)**2
Let v = -261 + 277. Factor -14*i**4 + 98/3*i**5 + 0 - 8/3*i**2 - v*i**3 + 0*i.
2*i**2*(i - 1)*(7*i + 2)**2/3
Let h(r) be the third derivative of r**5/150 - r**4/30 - r**3/5 - 12*r**2. Solve h(n) = 0 for n.
-1, 3
Let z(h) be the first derivative of h**4/34 + 16*h**3/51 + 20*h**2/17 + 32*h/17 + 16. Solve z(d) = 0.
-4, -2
Suppose 3*q**2 - 45 + 42 + q**2 + 11*q = 0. Calculate q.
-3, 1/4
Let l(p) be the second derivative of p**6/20 - 9*p**5/40 + p**4/4 - 19*p. Factor l(b).
3*b**2*(b - 2)*(b - 1)/2
Let x(p) be the first derivative of -5*p**3/3 - 55*p**2/2 + 57. Factor x(k).
-5*k*(k + 11)
Let r(v) = 12*v**5 + 12*v**4 - 39*v**3 - 12*v**2. Let a(b) = b**5 + b**4 - 3*b**3 - b**2. Let k(z) = 27*a(z) - 2*r(z). Let k(p) = 0. Calculate p.
-1, 0, 1
Let t(z) = 23*z**3 + 38*z**2 + 11*z - 6. Let k(y) = y**3 + y**2 + y. Let u(o) = 2*k(o) - t(o). Suppose u(q) = 0. Calculate q.
-1, 2/7
Let q(j) be the second derivative of -j**4/18 - j**3/9 - 10*j. Factor q(r).
-2*r*(r + 1)/3
Let m = 61/2130 - -1/213. Let u(l) be the third derivative of 3*l**2 + 0*l + 0 - m*l**5 + 0*l**3 - 1/12*l**4. Let u(p) = 0. Calculate p.
-1, 0
Let a(u) = 4*u**3 - u**2 + u - 1. Let h be a(1). Find f such that -8*f + 0 + 5*f**2 + 4 - 2*f**h - f**3 + 2*f**3 = 0.
1, 2
Solve 25 + 3*g**2 + 3*g**2 + 3*g**3 - 3*g - 31 = 0.
-2, -1, 1
Let q be (-2)/(-5) + (-69)/(-15). Solve 18*l**3 + q*l**4 - 14*l**3 - 3*l**4 = 0 for l.
-2, 0
Let j(h) = h**2 - 4*h - 3. Let p be j(6). Suppose 2*x - p + 1 = 0. Factor -3*o**4 - o**x + 2*o**2 - 2*o**3 + 2*o + 2*o**4.
-2*o*(o - 1)*(o + 1)**2
Let g(v) be the first derivative of -3/2*v**2 + v**3 + v + 3 - 1/4*v**4. Suppose g(f) = 0. Calculate f.
1
Suppose -3*x - 223 = -b, -3*b + 649 = 4*x - 3*x. Let s = 443/2 - b. Factor 3*n + 0 + 3/2*n**4 - s*n**2 + 0*n**3.
3*n*(n - 1)**2*(n + 2)/2
Suppose s - 3/2 + 1/2*s**2 = 0. Calculate s.
-3, 1
Let u(l) be the second derivative of -3*l**5/20 + l**4/4 + l**3/2 - 3*l**2/2 + 8*l. Factor u(p).
-3*(p - 1)**2*(p + 1)
Factor -4 + 3/4*k**5 + 2*k**3 - 4*k + 6*k**2 - 13/4*k**4.
(k - 2)**3*(k + 1)*(3*k + 2)/4
Let f(k) be the third derivative of -k**5/360 - k**4/144 + k**3/18 + 2*k**2. Determine l, given that f(l) = 0.
-2, 1
Let u(a) be the third derivative of a**5/30 + a**4/12 - 2*a**3 - 17*a**2. Solve u(j) = 0.
-3, 2
Let y be (-36)/(-405) + 4 + 232/(-60). Factor 16/9 - 8/3*u - y*u**3 + 4/3*u**2.
-2*(u - 2)**3/9
Let y(c) be the third derivative of c**8/84 - 2*c**7/105 - c**6/6 - c**5/5 + 7*c**2. Let y(i) = 0. What is i?
-1, 0, 3
Suppose 3*h + 3 = 4*h. Factor 0 - 3/4*u**2 + 1/4*u + 3/4*u**h - 1/4*u**4.
-u*(u - 1)**3/4
Let n(s) = -5*s + 225. Let k be n(45). Let p be 1 + (-5)/3 + 2. What is h in -p*h**4 - 1/3*h - 3*h**3 + k - 2*h**2 = 0?
-1, -1/4, 0
Let u(l) be the second derivative of 1/150*l**6 + 0 + 1/100*l**5 + l - 1/30*l**4 + 0*l**3 + 0*l**2. Find o such that u(o) = 0.
-2, 0, 1
Let b(a) be the first derivative of a**4/26 - 4*a**3/39 + a**2/13 - 1. Determine p so that b(p) = 0.
0, 1
Suppose -m + 12 = 2*m. What is v in 3*v**4 - 14*v**3 - 6*v**2 - 14 + 14*v + 10 + 7*v**m = 0?
-1, 2/5, 1
Let a(z) be the second derivative of -z**8/5040 - z**7/1260 - z**6/1080 + z**3/6 + z. Let y(i) be the second derivative of a(i). Factor y(v).
-v**2*(v + 1)**2/3
Solve -3*l**4 + 6*l**4 + 3*l**4 - 2*l**3 - l**4 = 0.
0, 2/5
Let r(z) be the second derivative of -z**9/60480 + z**4/4 + z. Let c(g) be the third derivative of r(g). Suppose c(b) = 0. What is b?
0
Let j = 75 - 73. Factor 2/7*q**j - 2/7*q - 2/7 + 2/7*q**3.
2*(q - 1)*(q + 1)**2/7
Let h(f) be the second derivative of 3*f**5/4 - 25*f**4/6 + 15*f**3/2 - 5*f**2 + 16*f. Suppose h(c) = 0. What is c?
1/3, 1, 2
Suppose -65 = -2*m + u, 112 + 0 = 4*m + 4*u. Factor s + 27 + 5*s - m - 2*s**2.
-2*(s - 2)*(s - 1)
Let a(p) be the first derivative of p**6/3 - p**5/5 - 3*p**4/4 + p**3/3 + p**2/2 - 12. Solve a(x) = 0 for x.
-1, -1/2, 0, 1
Let y be (4 - (-2)/(-4))*6. Let v = y + -62/3. Determine l, given that v*l**3 + l**2 - 4/3 + 0*l = 0.
-2, 1
Let s(r) = r**4 + r**3 + r**2 + r + 1. Let w(m) = 3*m**4 + 3*m**3 + 11*m**2 + 7*m + 1. Let j(p) = 5*s(p) - w(p). Find v such that j(v) = 0.
-2, -1, 1
Let t = -631/6 + 104. Let a = t + 17/6. Solve 0 + 4/3*i**3 + a*i**2 + 1/3*i = 0.
-1, -1/4, 0
Let k(u) be the second derivative of -1/6*u**2 + 1/30*u**6 + 2*u + 1/30*u**5 + 0 - 1/18*u**4 - 1/6*u**3 + 1/126*u**7. Factor k(o).
(o - 1)*(o + 1)**4/3
Factor 3*x**3 - 8 - 6*x**3 + 7*x**3 + 20*x - 16*x**2.
4*(x - 2)*(x - 1)**2
Solve -b**3 + 0 - 1/3*b**4 - b**2 - 1/3*b = 0.
-1, 0
Let j(f) = f**5 + f**4 - f**3 - f + 1. Suppose -2*w - 3*w = -10. Let n(g) = 2*g**5 + g**4 - 3*g**3 + 1. Let u(a) = w*j(a) - 2*n(a). Solve u(q) = 0.
-1, 0, 1
Let k(s) = s**2 + s. Let x(a) = -a**3 + 5*a**2 - 4*a. Let j be x(4). Let t be k(j). Factor 0*q + 0*q**2 + 2/7*q**3 + t.
2*q**3/7
Factor -4*a - 17*a**3 + 3*a**3 + 4*a**2 + 4*a.
-2*a**2*(7*a - 2)
Let i(c) be the second derivative of c**5/100 + c**4/60 - c**3/30 - c**2/10 - 49*c. Factor i(f).
(f - 1)*(f + 1)**2/5
Let u(d) = -d**3 - 11*d**2 + 2. Let w be u(-11). Factor 0 + 0*z - 4/5*z**w - 2/5*z**3.
-2*z**2*(z + 2)/5
Let b(t) = -3*t**5 + 2*t**4 - 3*t**3 - 4*t**2. Let c(u) = -7*u**5 + 5*u**4 - 7*u**3 - 9*u**2. Let r(h) = 9*b(h) - 4*c(h). Factor r(x).
x**3*(x - 1)**2
Suppose 4*p - 4*c = -0*p - 16, -p = -5*c + 20. Factor -2/11*i**2 + 2/11 + p*i.
-2*(i - 1)*(i + 1)/11
Suppose 3*i - 2 = -14. Let l be (0 - 2) + (-10)/i.