5 + z**5 + z**4/3 - 16*z**3/3 + 8*z**2 - 6*z. Factor g(w).
-4*(w - 1)**3*(w + 2)**2
Suppose 18 - 48 = -5*m. Let n(i) be the first derivative of -24/35*i**5 - 9/14*i**4 - 5/21*i**m + 0*i**2 + 0*i + 1 - 4/21*i**3. Factor n(b).
-2*b**2*(b + 1)**2*(5*b + 2)/7
Let i be (-9)/(-3) + (-7)/7. Suppose -1/4*a**i - 1/2*a + 0 = 0. What is a?
-2, 0
Let a = 0 - 0. Suppose a*f = -4*f. Suppose 0*l**2 - 1/4*l**3 + f + 0*l = 0. Calculate l.
0
Let z(w) be the first derivative of -w**6/180 - w**5/36 - w**4/18 + 4*w**3/3 - 6. Let f(i) be the third derivative of z(i). Determine j so that f(j) = 0.
-1, -2/3
Let z(o) be the first derivative of -o**5/20 - o**4/8 + o**3/3 + o**2/4 - 3*o/4 - 17. What is i in z(i) = 0?
-3, -1, 1
Let k(l) = -l**2 - 7*l - 7. Let q be k(-5). Let -20*x + 20*x + 588*x**q + 16*x - 686*x**4 - 168*x**2 = 0. What is x?
0, 2/7
Let b(i) = -15*i**3 + 15*i**2 + 5*i + 5. Let t(n) = n**3 - n**2 - 1. Let y(d) = b(d) + 10*t(d). Find f such that y(f) = 0.
-1, 1
Factor 1/5*n**2 + 1/5*n + 0.
n*(n + 1)/5
Let j = 10 - 6. Suppose 7*p**4 - 6*p**2 - 6*p - 6*p**2 + 3*p**2 - j*p**4 = 0. Calculate p.
-1, 0, 2
Let f = 3/191 + 743/1337. Determine w so that 0 - 2/7*w - f*w**2 = 0.
-1/2, 0
Let v(r) = -10*r**2 - 16*r - 8. Let m(l) be the first derivative of -l**3/3 - l**2/2 - 1. Let h(b) = -8*m(b) + v(b). Factor h(f).
-2*(f + 2)**2
Factor 16*x + 4*x**3 + 15*x**4 - x**3 - 36*x**2 - 4*x + 6*x**3.
3*x*(x - 1)*(x + 2)*(5*x - 2)
Let h be -5*10/(-75) + (-1)/2. Let f(u) be the second derivative of -1/60*u**5 + 1/18*u**3 - h*u**2 + 1/36*u**4 + 0 - 3*u. Factor f(w).
-(w - 1)**2*(w + 1)/3
Let b be (2/(-4))/((-3)/12). Let p(a) be the third derivative of 0*a**4 - 1/60*a**6 + 0*a**3 + 0 + 3*a**b - 1/30*a**5 + 0*a. Solve p(w) = 0 for w.
-1, 0
Let n = 47/9 - 275/63. Let y be 6*2*6/126. Factor -2/7*k**2 + y*k**5 + 0*k**3 + 0*k + n*k**4 + 0.
2*k**2*(k + 1)**2*(2*k - 1)/7
Let d = 43 + -41. Let n(k) = -k + 5. Let v be n(3). Determine x so that 5*x**3 + d*x**5 + 2*x**v - 3*x**3 - 2*x**4 - 4*x**3 = 0.
-1, 0, 1
Let s(b) be the first derivative of b**5 - 5*b**4/2 + 5*b**3/3 - 21. Suppose s(y) = 0. Calculate y.
0, 1
Let i = -26 + 16. Let v be i*-3*6/45. Factor v*r**2 - 5/4*r**3 - 25/4*r**4 - r + 0.
-r*(r + 1)*(5*r - 2)**2/4
Let o(r) = -11*r**2 - 17*r - 11. Let f(p) = -5*p**2 - 8*p - 5. Let c(g) = 13*f(g) - 6*o(g). Solve c(a) = 0.
1
Let i = -83/6 - -427/30. Let f = 8 + -38/5. Factor 0 + 0*t**2 + 4/5*t**3 - i*t + 0*t**4 - f*t**5.
-2*t*(t - 1)**2*(t + 1)**2/5
Let p(v) = v**2 + v. Let y(c) = -7*c**2 - 12*c - 9. Let f(t) = -6*p(t) - y(t). Factor f(u).
(u + 3)**2
Let c be 1*(-17)/6 - (-3 - 0). Let m(q) be the second derivative of 0 - 1/10*q**5 + 1/2*q**2 + 1/42*q**7 - 3*q + 1/30*q**6 + 1/6*q**3 - c*q**4. Factor m(y).
(y - 1)**2*(y + 1)**3
Let w(p) be the third derivative of -3/280*p**7 - 1/192*p**8 + 0*p + 0 + 0*p**5 + 0*p**3 - 1/240*p**6 + 0*p**4 - 3*p**2. Factor w(v).
-v**3*(v + 1)*(7*v + 2)/4
Let y(u) = 5*u**2 + 5*u - 10. Let f(g) = -g + 1. Let b(a) = -25*f(a) - y(a). Solve b(h) = 0 for h.
1, 3
Suppose -2*q - 3*q = -10. Let b(x) be the first derivative of -5/3*x**3 + q + x**4 + 0*x + 1/2*x**2. Suppose b(r) = 0. What is r?
0, 1/4, 1
Suppose -4*a - 4 = -0*a. Let k be a/(-3) + 1/(-3). Determine q, given that 2*q**2 - 3*q**2 + k*q**2 - 2*q + 2*q**2 + 1 = 0.
1
Let i(y) = -y**3 - y**2 - 3*y - 1. Let t be i(-1). Let x(z) be the second derivative of 2*z - 1/6*z**t - 1/36*z**4 + 1/9*z**3 + 0. Factor x(k).
-(k - 1)**2/3
Let k(a) be the first derivative of 5*a**6/6 + 3*a**5 + 5*a**4/2 + 12. Find j such that k(j) = 0.
-2, -1, 0
What is a in 0 - 1/5*a**2 + 6/5*a = 0?
0, 6
Let c = 107 + -104. Factor -6/7*w**c + 2/7*w + 4/7 - 8/7*w**2.
-2*(w + 1)**2*(3*w - 2)/7
Let a(l) = -l**2 + 13*l + 27. Let f be a(15). Let q be 135/(-30)*1/f. Factor -q*w**2 - 3/2*w + 0.
-3*w*(w + 1)/2
Determine w, given that -6/5*w**3 + 3/5*w**4 + 0*w + 0*w**2 + 0 + 3/5*w**5 = 0.
-2, 0, 1
Let a(y) be the second derivative of y**8/840 - y**6/180 - 7*y**3/6 - 5*y. Let c(h) be the second derivative of a(h). Factor c(m).
2*m**2*(m - 1)*(m + 1)
Let o be (-3)/(-10) - (3 + 0)/(-15). Find q, given that 0*q + o - 1/2*q**2 = 0.
-1, 1
Let x(p) be the second derivative of p**9/25200 - p**8/11200 - p**7/2100 - p**4/2 - 5*p. Let c(a) be the third derivative of x(a). Factor c(l).
3*l**2*(l - 2)*(l + 1)/5
Suppose 11 - 4*z - 16 + 11 - 2*z**2 = 0. Calculate z.
-3, 1
Let u(g) be the first derivative of -g**3/15 - 2*g**2/5 - 3*g/5 + 7. Let u(l) = 0. Calculate l.
-3, -1
Let q(x) = -x - 1. Let l(k) = -3*k**3 + 18*k**2 - 41*k + 19. Let u(d) = l(d) - 5*q(d). What is z in u(z) = 0?
2
Let k(s) be the second derivative of s**8/6720 - s**7/1680 + s**6/1440 - s**3/3 + 4*s. Let f(r) be the second derivative of k(r). What is g in f(g) = 0?
0, 1
Let f(m) be the second derivative of m**6/30 + m**5/20 - m**4/6 + 6*m. Find y, given that f(y) = 0.
-2, 0, 1
Let z(m) be the first derivative of 3*m**3/4 - 51*m**2/8 - 9*m/2 - 42. Factor z(d).
3*(d - 6)*(3*d + 1)/4
Let f(a) be the second derivative of 2*a**7/63 - 8*a**6/45 + a**5/15 + 14*a**4/9 - 40*a**3/9 + 16*a**2/3 - 25*a. Solve f(i) = 0 for i.
-2, 1, 2
Let g(c) = -c**3 + 14*c**2 + 15*c + 3. Let t be g(15). Factor -y**4 + 0*y**2 + 0*y**2 + 0*y**2 - 2*y + t*y**2.
-y*(y - 1)**2*(y + 2)
Let h(l) be the first derivative of -3*l**5 + 5*l**4/2 + 21. Find r such that h(r) = 0.
0, 2/3
Let c(i) be the second derivative of -i**8/560 - i**7/140 + i**5/20 + i**4/8 - i**3/2 - i. Let b(g) be the second derivative of c(g). What is m in b(m) = 0?
-1, 1
Let p(f) be the first derivative of -f**4/12 + f**3/12 - 3*f - 3. Let j(g) be the first derivative of p(g). Factor j(c).
-c*(2*c - 1)/2
Factor -v + 17*v**3 - 2*v**2 - v - v**2 - 18*v**3.
-v*(v + 1)*(v + 2)
Let b(x) be the third derivative of -x**7/280 - x**3/2 - 2*x**2. Let y(j) be the first derivative of b(j). Factor y(i).
-3*i**3
Suppose 8*n - 6*n + 40 = 0. Let l = n + 23. Determine o, given that 0*o**2 + 0*o**4 + 0*o + 1/3*o**l - 1/3*o**5 + 0 = 0.
-1, 0, 1
Let s(z) be the first derivative of -z**5/30 - 5*z**4/84 + 2*z**3/21 + z**2/2 - 2. Let w(h) be the second derivative of s(h). Factor w(c).
-2*(c + 1)*(7*c - 2)/7
Let h(v) be the first derivative of v**6/60 - v**5/48 - v**4/24 - v**3/3 + 1. Let c(j) be the third derivative of h(j). Solve c(k) = 0.
-1/4, 2/3
Let c(w) = -3*w**3 - 18*w**2 + 6*w - 6. Let l(r) = -8*r**3 - 53*r**2 + 17*r - 17. Let x(k) = -17*c(k) + 6*l(k). Find n, given that x(n) = 0.
0, 4
Let m(r) be the third derivative of -r**5/90 + r**4/12 + 4*r**3/9 + r**2. Factor m(l).
-2*(l - 4)*(l + 1)/3
Let m(o) be the first derivative of -2*o**5/25 - o**4/10 - 30. Determine i so that m(i) = 0.
-1, 0
Let a(w) be the first derivative of 0*w**3 + 1/4*w**4 + 0*w**2 + 2 + 1/5*w**5 + 0*w. Factor a(i).
i**3*(i + 1)
Let g(o) = -8*o**5 + 12*o**4 - 4*o**3 - 7*o**2 + 6*o + 1. Let y = -20 + 26. Let t(u) = u**5 - u**2 + u - 1. Let p(a) = y*t(a) + 2*g(a). Solve p(c) = 0.
-1, 2/5, 1
Let q(w) = -w**3 + w**2 + 8*w - 6. Let j(k) = -4*k**3 + 2*k**2 + 23*k - 17. Let h(g) = -6*j(g) + 17*q(g). Factor h(t).
t*(t + 1)*(7*t - 2)
Let f(j) = 18*j**3 + 12*j**2 - 2*j - 9. Let x(q) = -q**3 - q**2 + 1. Let h(l) = -4*f(l) - 36*x(l). Factor h(v).
-4*v*(3*v - 1)*(3*v + 2)
Let s = 2 + 4. Suppose -g + 3*a + s = 0, a + 0 + 2 = 4*g. Factor 0*i**2 + 1/3*i**3 + g + 1/3*i**5 + 2/3*i**4 + 0*i.
i**3*(i + 1)**2/3
Let y(s) be the first derivative of s**2 + 1 - 1/84*s**4 + 0*s**3 + 0*s - 1/420*s**6 + 1/105*s**5. Let m(o) be the second derivative of y(o). Factor m(q).
-2*q*(q - 1)**2/7
Let h(m) be the third derivative of -m**8/10080 + m**7/2520 - m**5/20 - 4*m**2. Let g(z) be the third derivative of h(z). Factor g(v).
-2*v*(v - 1)
Factor 4/5*l**2 + 4/5 - 2/15*l**3 - 22/15*l.
-2*(l - 3)*(l - 2)*(l - 1)/15
Let n = 158/3 + -52. Determine v, given that 2/3*v**4 + 2/9*v**5 + 0 + 2/9*v**2 + n*v**3 + 0*v = 0.
-1, 0
Let i(u) = 28*u**4 - 68*u**3 + 36*u**2. Let x(o) = 85*o**4 - 204*o**3 + 109*o**2 - o. Let w(k) = 11*i(k) - 4*x(k). Factor w(t).
-4*t*(t - 1)**2*(8*t - 1)
Let f = 40 - 21. Let m = f + -17. Find y, given that 4/9*y**3 - 2/3*y**m + 2/9 + 0*y = 0.
-1/2, 1
Let n be (-2)/(3/((-9)/2)). Let w(u) be the first derivative of 1/2*u**n + 0*u**2 - 1/2*u - 3 + 1/4*u**4. Determine t so that w(t) = 0.
-1, 1/2
Let l(y) be the second derivative