se 0*d + 25 = 5*d. Let z(r) = -r + 7. Let a be z(d). Let -4 + 18*k**3 - 26*k**2 - 6*k**4 - 4*k**a + 18*k + 4*k**3 = 0. Calculate k.
2/3, 1
Let p(k) be the first derivative of k**6/2 - 8*k**5/5 + 7*k**4/4 - 2*k**3/3 - 7. Factor p(c).
c**2*(c - 1)**2*(3*c - 2)
Let l(z) be the second derivative of 1/21*z**7 + 1/5*z**6 + 0*z**4 + 0*z**2 + 0 + 1/5*z**5 + 7*z + 0*z**3. Find o such that l(o) = 0.
-2, -1, 0
Let j(i) = 3*i**3 - 5*i**2 + i + 1. Let f(y) = y**3 - y**2 - y + 1. Let t(d) = f(d) - j(d). Factor t(w).
-2*w*(w - 1)**2
Let w(k) = -k**2 - 13*k - 1. Let y be w(-13). Let u be ((-81)/12)/9 - y. Let 1/2*t - 1/4 - u*t**2 = 0. What is t?
1
Let c(a) = a**3 - 2*a**2 + 2*a - 2. Let s be c(3). Suppose 3*p - 3*l + 2*l - s = 0, 3*p + 5*l = -11. Factor -w**2 - w**3 + 0*w**p + 3*w**2 - w.
-w*(w - 1)**2
Let w(s) = -s**3 - 3*s + 4. Let n be w(-3). Suppose 4*r = 5*y + 33, -n + 9 = -3*r + 5*y. Factor -5*i**3 + 4*i - r*i**2 + 2*i**3 + i**3.
-2*i*(i - 1)*(i + 2)
Let j be (0/1 - 1)/(32/(-96)). Let z be (-4)/18 + (-2)/(-9). Factor -2/5*x**j + 2/5*x + 0*x**2 + z.
-2*x*(x - 1)*(x + 1)/5
Let v(r) be the second derivative of r - 1/60*r**6 + 0 + 1/6*r**3 - 1/20*r**5 + 1/4*r**2 + 0*r**4. Solve v(l) = 0 for l.
-1, 1
Suppose -2*k + 8 = 2*y, 11 + 4 = -5*y + 2*k. Let i be 1/y - 1 - -4. Factor s + 1 + i*s + s**2 + 1.
(s + 1)*(s + 2)
Let f(q) be the first derivative of q**4/54 - q**2/9 + 4*q + 3. Let u(h) be the first derivative of f(h). What is g in u(g) = 0?
-1, 1
Let w be (12/(-10))/((-111)/(-120) - 1). Factor -34/5*g + 4/5 - 32/5*g**3 + w*g**2.
-2*(g - 2)*(4*g - 1)**2/5
Suppose 5*i - 5*g = -256 - 104, i + 2*g = -87. Let c be ((-6)/7)/(22/i). Solve 2/5*u**2 - 2/5*u - 2/5 + 2/5*u**c = 0 for u.
-1, 1
Let l = 5 - -2. Suppose -5*h + r + 24 = l, 0 = -4*h + 2*r + 10. Determine v, given that 0 + 2/5*v**h + 6/5*v**3 + 2/5*v + 6/5*v**2 = 0.
-1, 0
Let b(q) = 3*q**2 - 4*q + 3. Let m(f) = -4*f**2 + 4*f - 2. Let v(j) = 4*b(j) + 6*m(j). Solve v(x) = 0.
0, 2/3
Let u be (6 - -2)/(4/(-6)). Let s be u/(-90) - (-128)/90. Determine r, given that -s*r**4 - 2*r**3 + 4/9 + 2*r + 10/9*r**2 = 0.
-1, -2/7, 1
Let q(p) = -p**3 + 4*p**2 - 2*p - 2. Let y(g) be the first derivative of g**3/3 - g**2/2 - g - 6. Suppose 4*j + 2 = 6. Let h(b) = j*q(b) - 2*y(b). Factor h(m).
-m**2*(m - 2)
Suppose -4*l + 29 = -2*l + 5*s, 0 = -3*l + 2*s - 4. Factor -3/4*o**l + 1/4*o + 3/4*o**3 + 0 - 1/4*o**4.
-o*(o - 1)**3/4
Let w(h) be the third derivative of -1/12*h**4 - 1/30*h**5 + 4*h**2 + 1/60*h**6 + 0*h + 1/3*h**3 + 0. Find u such that w(u) = 0.
-1, 1
Let n be 6/(-9) - 4/(-6). Solve 2/15*d**3 + 0*d**2 - 2/15*d + n = 0.
-1, 0, 1
Let j(l) = 3*l**2 - 6*l + 10. Let s(h) = h**2 - 2*h + 3. Let c(t) = 6*j(t) - 21*s(t). Factor c(m).
-3*(m - 1)**2
Suppose 5*d + o - 4 = 3*d, 0 = 5*o. Factor -3*h**d - 9 + 9 + 3*h**3.
3*h**2*(h - 1)
Let v(a) = -2*a**3 + 82*a**2 + 3. Let h be v(41). Factor j**2 - 1/2*j - 1/2*j**h + 0.
-j*(j - 1)**2/2
Let r be (-3 + 6)/((-728)/46). Let m = 5/52 - r. Factor 0 + m*j**5 + 0*j**3 + 4/7*j**4 - 2/7*j - 4/7*j**2.
2*j*(j - 1)*(j + 1)**3/7
Let 0 - 7/3*u**2 - 5/3*u**3 - 1/3*u**4 - u = 0. What is u?
-3, -1, 0
Let w(t) = 0 + 3*t**2 + 14*t + 0 - t**2. Let y(c) = c**2 + 5*c. Let o(h) = -3*w(h) + 8*y(h). Factor o(a).
2*a*(a - 1)
Let v be 2/8*8/7. Factor 0*u**3 + 0 + 4/7*u**2 - v*u - 4/7*u**4 + 2/7*u**5.
2*u*(u - 1)**3*(u + 1)/7
What is h in -12/11*h**2 - 18/11*h - 2/11*h**3 - 8/11 = 0?
-4, -1
Let a(j) be the second derivative of -5*j**4/84 + 19*j**3/21 + 8*j**2/7 - 41*j. Factor a(n).
-(n - 8)*(5*n + 2)/7
Let z(a) be the third derivative of 3*a**2 + 0*a - 1/48*a**4 - 1/192*a**8 + 23/840*a**7 + 13/240*a**5 + 0*a**3 + 0 - 9/160*a**6. Factor z(t).
-t*(t - 1)**3*(7*t - 2)/4
Let k(i) be the second derivative of 0 + 1/10*i**4 - 2/15*i**3 - 1/5*i**2 + 2*i. What is l in k(l) = 0?
-1/3, 1
Let f(k) be the first derivative of 0*k + 1/2*k**2 - 1/60*k**5 + 1/24*k**4 - 1 + 0*k**3. Let c(u) be the second derivative of f(u). Factor c(v).
-v*(v - 1)
Let u(d) = 5*d**4 + 2*d**3 - 24*d**2 - 6*d + 33. Let h(s) = 4*s**4 + 3*s**3 - 23*s**2 - 5*s + 32. Let l(k) = 6*h(k) - 5*u(k). What is n in l(n) = 0?
-1, 3
Let f = -9 + 11. Factor -4*u**2 - 12*u**2 + u**f - 6*u.
-3*u*(5*u + 2)
Let n(m) be the third derivative of 0*m - 2*m**2 + 1/6*m**4 + 1/30*m**5 + 0 + 1/3*m**3. Determine k so that n(k) = 0.
-1
Let t = 639/115 + -45/23. Factor 0 + 4/5*f + t*f**4 + 26/5*f**2 + 8*f**3.
2*f*(f + 1)**2*(9*f + 2)/5
Let x = 470936548/219 - 2150402. Let k = -10/73 - x. Factor 7/3*m**3 + k*m - 1/3*m**4 - 6*m**2 - 8/3.
-(m - 2)**3*(m - 1)/3
Let k(m) be the third derivative of -m**7/1260 - m**6/240 - m**5/180 - 4*m**2. Factor k(q).
-q**2*(q + 1)*(q + 2)/6
Let h(p) = -p**3 + 4*p**2 - 3*p + 3. Let d be h(4). Let t(r) = 2*r**2 + 6. Let f(o) = 4*o**2 - o + 13. Let y(n) = d*t(n) + 4*f(n). Factor y(b).
-2*(b + 1)**2
Let z(t) be the first derivative of 1/6*t**2 - 1/9*t**3 + 4 + 2/3*t. Factor z(a).
-(a - 2)*(a + 1)/3
Let k = 5 - 0. Let q be -3 - k/(-2)*2. Find p, given that -9/2*p**3 - 1 - 12*p**q - 13/2*p = 0.
-2, -1/3
Let o(c) = c**3 + 3*c**2 - c. Let m be o(-3). Determine y, given that 9*y**5 + 4*y + 2 + 4 + m*y + 12*y**4 - 12*y**3 - 18*y**2 - 4*y = 0.
-1, 2/3, 1
Let u = 562 + -2794/5. Factor -24*v - u - 60*v**2 - 50*v**3.
-2*(5*v + 2)**3/5
Factor -10/3*s**3 + 11/3*s**2 + 0*s + 0 - 1/3*s**4.
-s**2*(s - 1)*(s + 11)/3
Factor -44*i**3 + 11*i**4 - 101*i**3 + 470*i**2 - 700*i - i**5 + 173 + 219 + 9*i**4.
-(i - 7)**2*(i - 2)**3
Suppose 0 = -12*v + 31 - 7. Solve -18/7*w**v + 4/7 - 2*w = 0.
-1, 2/9
Let m(r) be the third derivative of 0*r + r**2 + 0 - 8/9*r**3 - 1/180*r**5 - 1/9*r**4. Solve m(l) = 0 for l.
-4
Suppose -3*d = -17 - 13. Let s = d - 7. Factor 0 - 4/3*q**2 + 0*q - 13/3*q**4 - q**5 - 16/3*q**s.
-q**2*(q + 2)**2*(3*q + 1)/3
Let f(w) be the third derivative of -1/90*w**5 + 1/27*w**3 + 0 - w**2 + 0*w - 1/54*w**4. Factor f(r).
-2*(r + 1)*(3*r - 1)/9
Find n, given that 6*n - 4*n**2 + 6*n**3 - 3*n**3 - n**3 - 4*n**2 = 0.
0, 1, 3
Suppose 0*g = 5*m + 3*g - 109, -m + 5*g = -5. Let v = m - 15. Let -h**v + 0*h - 2/3*h**2 + 0 - 7/3*h**3 - 8/3*h**4 = 0. What is h?
-1, -2/3, 0
Factor -64*z**4 + 22*z**4 - 39*z**4 - 117*z**3 - 40*z**2 - 4*z.
-z*(z + 1)*(9*z + 2)**2
Let w be -1 + (-2)/2*1. Let h be (-80)/(-45) + w/(-9). Solve 3*r**2 - r**2 - r**h + r = 0.
-1, 0
Let k(t) be the third derivative of -t**7/2100 + t**5/100 - t**4/30 + 2*t**3/3 - 3*t**2. Let o(q) be the first derivative of k(q). Factor o(w).
-2*(w - 1)**2*(w + 2)/5
Let v be 73/30 + -2 - (-1)/(-3). Let r(n) be the second derivative of -n + 1/21*n**7 + 0*n**4 + 0*n**6 + 0*n**2 - v*n**5 + 0*n**3 + 0. Factor r(x).
2*x**3*(x - 1)*(x + 1)
Factor -2/9*k**3 - 10/9*k - 4/9 - 8/9*k**2.
-2*(k + 1)**2*(k + 2)/9
Let z = 538/57 - 78/19. Determine p, given that 4/3 - 8/3*p - z*p**3 - 28/3*p**2 = 0.
-1, 1/4
Let b(g) = g + 5. Let a be b(-5). Let y(x) be the second derivative of -1/30*x**5 + 0 - 1/45*x**6 + a*x**2 + 1/9*x**3 - 2*x + 1/18*x**4. Factor y(w).
-2*w*(w - 1)*(w + 1)**2/3
Let a(l) be the third derivative of -l**7/105 + l**6/20 - l**5/10 + l**4/12 + 7*l**2. Factor a(h).
-2*h*(h - 1)**3
Let x(s) be the second derivative of -27*s**5/40 - 3*s**4/8 + 2*s**3 + 3*s**2 + 10*s. Find g, given that x(g) = 0.
-2/3, 1
Let j(u) be the third derivative of 0*u**3 + 0 + 0*u + 0*u**5 - 2*u**2 - 1/240*u**6 + 0*u**4. Factor j(k).
-k**3/2
Let b(x) be the first derivative of -9*x**5/20 - 33*x**4/16 - 3*x**3 - 3*x**2/2 - 10. Let b(f) = 0. Calculate f.
-2, -1, -2/3, 0
Let r be (4 - 5)*(56/(-6) - 4). Suppose -4/3 + 26/3*j - r*j**2 + 6*j**3 = 0. What is j?
2/9, 1
Let t(x) be the third derivative of x**6/24 - x**5/12 - 14*x**2. What is m in t(m) = 0?
0, 1
Factor 1/9*f**5 - 1/9*f**4 + 0 - 2/9*f**3 + 0*f**2 + 0*f.
f**3*(f - 2)*(f + 1)/9
Let y(l) be the first derivative of 1/3*l - 1/15*l**5 + 0*l**3 + 1/6*l**4 - 3 - 1/3*l**2. Factor y(p).
-(p - 1)**3*(p + 1)/3
Factor 4/5*u + 0 + 2/5*u**2.
2*u*(u + 2)/5
Let n(s) = 1 + 2*s**2 + s + 1 + 5*s. Suppose 1 = 5*l - 9. Let x(t) = 6*t**2 + 19*t + 7. Let c(m) = l*x(m) - 7*n(m). Factor c(d).
-2*d*(d + 2)
Let f(k) be the first derivative of 1/4*k**2 - 3/4*k - 5 + 1/12*k**3. Determine u so that f(u) = 0.
-3, 1
Let m(n) be the second derivative of n**4/6 + 2*n**3/3 + n**2 + 7*n. Find o, given that m(o) = 0.
-1
Let x(o) be th