r(b). Factor t(z).
-2*(z - 1)**3*(z + 1)
Let n(t) = -t**2 + 19*t. Suppose 0 = 3*b - 17 + 5. Let l(k) = -4*k. Let f(g) = b*n(g) + 22*l(g). Find m, given that f(m) = 0.
-3, 0
Let u(g) be the third derivative of 5*g**7/126 - 7*g**6/72 + g**5/18 - 22*g**2. Factor u(d).
5*d**2*(d - 1)*(5*d - 2)/3
Determine l, given that -44/5*l**2 - 34/5*l**4 - 8/5*l**5 - 16/5*l - 56/5*l**3 - 2/5 = 0.
-1, -1/4
Suppose -z - 4*w = -20, -z - 2*w = 3*w - 24. Factor -r**z + 5*r - 5*r - r**2 + 5*r + 2 + 4*r**2 - r**3.
-(r - 2)*(r + 1)**3
Let 0*g + 6/5*g**4 + 2/5*g**2 - 8/5*g**3 + 0 = 0. Calculate g.
0, 1/3, 1
Let q be 10/5 + -1 + 0. Let g(v) = v**3 + v**2. Let k(p) = 9*p**3 - 3*p**2 + 9*p - 3. Let t(d) = q*k(d) - 6*g(d). Factor t(y).
3*(y - 1)**3
Factor -3/2 + 3*m**2 - 21/4*m.
3*(m - 2)*(4*m + 1)/4
Let z be ((-3)/2)/(675/(-3)). Let h(a) be the third derivative of 0*a + 0*a**3 + 1/60*a**4 + z*a**5 - a**2 + 0. Factor h(d).
2*d*(d + 1)/5
Suppose 2*o + 5 - 19 = 4*x, -x + 4 = 2*o. Find v, given that -22*v - o*v**4 + 5*v**4 - 4 - 20*v**4 - 6*v**5 - 48*v**2 - 52*v**3 - 10*v**4 = 0.
-1, -2/3
Let f(o) be the first derivative of -o**5/15 + o**4 - 46*o**3/9 + 10*o**2 - 25*o/3 - 28. Factor f(g).
-(g - 5)**2*(g - 1)**2/3
Suppose 2*c = c + 3. Factor 2*q + q + 3 + c + 0 - 3*q**3 + 3*q**4 - 9*q**2.
3*(q - 2)*(q - 1)*(q + 1)**2
Let c(h) = h**5 - h**3 - 4*h**2 + 4*h + 4. Let b(s) = -s**5 + s**3 + 3*s**2 - 3*s - 3. Let n(q) = -4*b(q) - 3*c(q). What is z in n(z) = 0?
-1, 0, 1
Let a(h) = 26*h + 312. Let o be a(-12). Find u, given that 2/5*u**4 - 4/5*u**2 + 0*u**3 + o*u + 2/5 = 0.
-1, 1
Suppose 6*b + y + 10 = 10*b, 0 = -5*b - 4*y + 2. Factor 3/5*w**b + 0*w - 3/5.
3*(w - 1)*(w + 1)/5
Let n = 1/40 + 9/40. Let o = -1268 - -1268. What is g in -1/2*g**4 + o*g - 1/4*g**5 + 0*g**2 - n*g**3 + 0 = 0?
-1, 0
Let p(q) be the first derivative of -4 + 2/65*q**5 + 0*q**4 + 0*q**2 + 0*q**3 + 4/39*q**6 + 0*q. Factor p(z).
2*z**4*(4*z + 1)/13
Suppose -w = 4*w - 10. Suppose 2 = -3*g + t, w*g - 8 = g - 4*t. Solve 0 + 2/3*d**3 + g*d**2 - 2/3*d = 0 for d.
-1, 0, 1
Let d be 6/14 + 15/(-35). Let l(b) be the first derivative of 0*b**2 + d*b + 1 - 2/3*b**3 - b**4 - 2/5*b**5. Factor l(i).
-2*i**2*(i + 1)**2
Let f(w) be the third derivative of 0 - 1/36*w**4 - w**2 - 1/135*w**5 - 1/27*w**3 + 0*w. Factor f(a).
-2*(a + 1)*(2*a + 1)/9
Let b be (-3 + -1)*3/(-8). Let f = b + -1. Determine v, given that -1/4*v**2 - 1/4 + f*v = 0.
1
Let l = 93/7 + -2225/168. Let r(k) be the second derivative of 0*k**2 + 0*k**3 + 1/60*k**6 - l*k**4 - k + 0*k**5 + 0. Factor r(p).
p**2*(p - 1)*(p + 1)/2
Suppose -3*w - 1 + 16 = 0. Suppose -12 = -w*a + a. Let 9*p - a*p**3 + 21*p**3 - 49*p - 16 - 12*p**2 = 0. Calculate p.
-2/3, 2
Let s(f) be the third derivative of 3*f**8/98 - 37*f**7/735 - f**6/420 + f**5/105 - f**2. Find y such that s(y) = 0.
-2/9, 0, 1/4, 1
Solve 2*w - w + w**2 + 0*w - 2*w**2 = 0.
0, 1
Let l = 62 - 59. Let x(q) be the first derivative of -1/2*q**2 + 0*q + 4 + 1/3*q**l. Determine f so that x(f) = 0.
0, 1
Let g(j) = -j**3 - j**2 - 1. Let i(h) = -13*h**3 + 34*h**2 - 44*h + 4. Let n(q) = 4*g(q) - i(q). Factor n(z).
(z - 2)**2*(9*z - 2)
Let d(c) be the first derivative of 3 - 4/15*c**5 + 0*c**4 + 4/9*c**3 + 0*c + 1/3*c**2 - 1/9*c**6. Factor d(u).
-2*u*(u - 1)*(u + 1)**3/3
Let p = -22 - -22. Suppose p - 2*o + 4*o**2 + 3 - 3*o**4 + 12*o**2 - 12*o - 2*o**3 = 0. Calculate o.
-3, 1/3, 1
Let k(q) be the third derivative of q**7/1260 - q**6/60 + 3*q**5/20 - q**4/6 - 3*q**2. Let z(n) be the second derivative of k(n). Determine h so that z(h) = 0.
3
Let j = -13 - -13. Factor j*t + 0 + 0*t**3 + 0*t**2 + 2/9*t**4.
2*t**4/9
Determine n so that 1 + 3/2*n + 1/2*n**2 = 0.
-2, -1
Factor 45/4*z**2 - 3/2 - 3/4*z + 21/4*z**4 - 57/4*z**3.
3*(z - 1)**3*(7*z + 2)/4
Let t be 32/3 + 0/(-5). Factor -t*j**4 - 2/3*j - 16*j**3 + 0 - 6*j**2.
-2*j*(j + 1)*(4*j + 1)**2/3
Let a = -30 - -30. Let b(j) be the first derivative of a*j**4 + 0*j**2 + 2/5*j**5 - 2 + 0*j + 0*j**3. Factor b(t).
2*t**4
Let q be (2 - 1) + (0 - (-6 - -4)). What is n in 0 - 1/4*n - 1/4*n**q - 1/2*n**2 = 0?
-1, 0
Let p be 4/(-14) - 4/(-14). Suppose -4*v + 6 + 6 = p. Factor 0*s - 4*s**2 - 2*s + 0*s**2 - 2*s**v.
-2*s*(s + 1)**2
Let x = 1/516 - -85/516. Factor -3/2*l - 9/2*l**3 + x + 9/2*l**2.
-(3*l - 1)**3/6
Let r(w) be the third derivative of w**8/1680 - w**7/210 + w**6/90 - w**4/6 + 7*w**2. Let a(p) be the second derivative of r(p). Determine z so that a(z) = 0.
0, 1, 2
Let o be (-4)/(-1)*3/6. Let t(y) = -y**2 - 5*y. Let h be t(-5). Solve 2/5*w**o - 2/5 + h*w = 0 for w.
-1, 1
Factor -2/3 + 2/9*g**2 + 4/9*g.
2*(g - 1)*(g + 3)/9
Let c(h) = -h**2 - 8*h - 5. Let o = -5 - 2. Let i be c(o). Factor 0 + 0*l**2 - 2 + i*l**2.
2*(l - 1)*(l + 1)
Let o = -3 + 5. Suppose -8 = -o*x - 0. Factor -l**x + l**3 - 4*l**2 + 4*l**2.
-l**3*(l - 1)
Let s(c) be the second derivative of c**6/105 + 3*c**5/70 - c**4/42 - c**3/7 + 11*c. Factor s(u).
2*u*(u - 1)*(u + 1)*(u + 3)/7
Let a = 341/5365 - -1/185. Let y = a + 83/58. Suppose 1 + 1/2*g + 1/2*g**4 - 1/2*g**3 - y*g**2 = 0. What is g?
-1, 1, 2
Let y = -4 - -6. Solve -2/7*i**3 - 2/7*i + 0 - 4/7*i**y = 0 for i.
-1, 0
Suppose 0 = -5*y - 15, -3*d + y + 0*y + 3 = 0. Solve 0 + d - 2*o**4 + 2*o**3 = 0.
0, 1
Let j(g) be the second derivative of -g**4/4 - 3*g**3 + 21*g**2/2 - 7*g. Let j(h) = 0. What is h?
-7, 1
Suppose 4 = 3*g - 5. Let s(f) be the first derivative of 0*f**g - 1/2*f**2 - 2 + 0*f + 1/4*f**4. Factor s(k).
k*(k - 1)*(k + 1)
Let z(u) be the second derivative of u**8/7560 - u**6/1620 + 7*u**3/6 + 8*u. Let x(f) be the second derivative of z(f). Factor x(m).
2*m**2*(m - 1)*(m + 1)/9
Let z(g) be the second derivative of -1/12*g**4 - 1/12*g**3 + 0*g**2 - g + 0 - 1/40*g**5. Factor z(r).
-r*(r + 1)**2/2
Let m(v) = -2*v**3 + 6*v**2 + 2*v + 2. Let n = -15 - -12. Let p(r) = r**3 - 2*r**2 - r - 1. Let c(o) = n*m(o) - 8*p(o). Factor c(q).
-2*(q - 1)*(q + 1)**2
Let p be -4*(2/(-10))/((-4)/(-4)). Determine c, given that 2/5*c**2 + p*c + 0 = 0.
-2, 0
Let u be 13/(-65) - 118/(-90). Let l = 47/18 - u. Suppose 1/2*n**5 + 0 + 3/2*n**3 + 1/2*n**2 + l*n**4 + 0*n = 0. Calculate n.
-1, 0
Let m = 85 - 509/6. Determine o so that -1/6*o**2 + m + 0*o = 0.
-1, 1
Let s(b) be the third derivative of b**9/241920 - b**7/20160 + b**5/20 + 3*b**2. Let k(w) be the third derivative of s(w). Determine o so that k(o) = 0.
-1, 0, 1
Let w = -37/24 - -15/8. Let q = 1/51 + 16/51. Factor 0 - w*o**2 - q*o.
-o*(o + 1)/3
Let n(v) be the first derivative of 0*v + 0*v**2 - 1/3*v**4 + v**3 + 4/15*v**5 - 7/180*v**6 + 3. Let j(i) be the third derivative of n(i). Solve j(q) = 0.
2/7, 2
Let a = -12 - -21. Suppose z = -4*c + 27 - 2, a = -3*z. Factor -m**3 + c*m**3 + 2*m**2 - 2*m**3 + 2*m**4.
2*m**2*(m + 1)**2
Let r = -11 + 14. Factor o**5 + 0*o**r - 4*o**4 + 2*o**5 + o**3.
o**3*(o - 1)*(3*o - 1)
Let d be (-28)/(-6) + (-3)/(-9). Let h be 17/5 + (-2)/d. Factor -2*g**3 + 3*g**3 - h*g**3 - 7*g**4.
-g**3*(7*g + 2)
Let h be -8*(14/10 + -2). Let g(t) = t**3 + 11*t**2 - 10*t + 26. Let p be g(-12). Solve -p*a**3 - 18/5*a - h*a**2 - 4/5 = 0.
-1, -2/5
Let r(q) be the second derivative of -q**6/30 + q**5/10 + q**4/12 - q**3/3 - 3*q. Factor r(p).
-p*(p - 2)*(p - 1)*(p + 1)
Factor 4/5*k + 6/5 - 2/5*k**2.
-2*(k - 3)*(k + 1)/5
Let a(m) be the third derivative of -m**5/40 - m**4/16 + 23*m**2. Let a(l) = 0. What is l?
-1, 0
Let x = -2 + 4. Suppose -2*g**2 - 6*g**3 - x*g**2 + g**5 - 3*g**4 - 2*g**5 - g**4 - g = 0. Calculate g.
-1, 0
Let v(a) = a + 2. Let d be v(0). Factor u**3 - 3*u**3 + 5*u**3 - d*u**3.
u**3
Let r(z) be the first derivative of z**4/24 + z**3/9 - 12. Factor r(g).
g**2*(g + 2)/6
Let c(u) be the first derivative of -u**4 - 20*u**3/3 - 14*u**2 - 12*u + 9. Factor c(f).
-4*(f + 1)**2*(f + 3)
Let w(o) = -3 - 2*o**3 + 5*o + 6*o**2 - o + 3*o**3. Let s be w(-5). Factor -q**2 + q - 2*q + 0*q**s.
-q*(q + 1)
Let g(r) be the second derivative of 1/5*r**5 - 1/21*r**7 + 1/15*r**6 + 7*r - 1/3*r**3 + r**2 - 1/3*r**4 + 0. Factor g(b).
-2*(b - 1)**3*(b + 1)**2
Suppose -4*m = 2*n - 12, -2*m - 5*n = -7*m. Let r be (0 + 0)*(-4)/(-8). Factor r*y - 5*y**2 - 3*y**2 + m*y.
-2*y*(4*y - 1)
Let a = -378/5 - -76. What is m in 4/5*m + a + 2/5*m**2 = 0?
-1
Let n be ((-1)/2)/((-3)/30). Suppose 4*h**5 - 8*h**2 + 9*h**4 + 0*h + 2*h**3 - 1 + 0*h**n - 6*h = 