 9/4 - 3/2. Let r be ((-8)/(-16))/(4/10). Factor -1/2 + r*b**2 + o*b.
(b + 1)*(5*b - 2)/4
Let y(l) be the first derivative of -l**4/30 + l**2/15 + 4. Find w such that y(w) = 0.
-1, 0, 1
Suppose 0 = 3*s - 4*s + 4*d + 14, 2*s + 5*d + 11 = 0. Suppose y**2 + y**4 - 2*y**2 - 4*y**5 + 0*y**s - 9*y**4 - 5*y**3 = 0. Calculate y.
-1, -1/2, 0
Let w = 6206/165 - 162/55. Let z = w - 704/21. Factor 10/7*x**2 + z + 16/7*x + 2/7*x**3.
2*(x + 1)*(x + 2)**2/7
Let t = 1/774 + -12397/10062. Let a = -22/39 - t. What is r in 1/3*r - 1/3*r**2 + a = 0?
-1, 2
Let d(h) be the second derivative of 0*h**3 + 0*h**4 - 1/20*h**5 + 0*h**2 + 0 + h. Suppose d(c) = 0. Calculate c.
0
Suppose -u + 2 = u - w, 0 = -5*u + 4*w + 2. Suppose 4*m - 2*m - 4 = 0. Determine c so that c**2 - 3*c - c**u + c**m = 0.
0, 3
Let c = 7 - 10. Let n be ((-43)/(-15) + c)*-21. Suppose n*i**3 + 6/5*i**4 + 4/5*i**2 + 0 + 0*i = 0. What is i?
-2, -1/3, 0
Factor -10*u**2 - 15 - 4*u + 6*u**2 + 9*u**2 + 14*u.
5*(u - 1)*(u + 3)
Suppose 3*f + 7 = -5*w, -2*w - 8 = 2*w + 3*f. Let v(o) be the first derivative of 2/3*o**2 - 2/3*o - 2/9*o**3 - w. Factor v(q).
-2*(q - 1)**2/3
Let x = 22 + -28. Let b be (3/4)/(x/(-2)). Find a, given that 0*a**2 + 0 + 0*a**3 - 1/4*a**4 - b*a**5 + 0*a = 0.
-1, 0
Let q(u) be the second derivative of 2/3*u**3 + 6*u + 2/3*u**4 + 1/5*u**5 + 0 + 0*u**2. Factor q(b).
4*b*(b + 1)**2
Let c = -11/3 + 23/6. Let z(d) be the second derivative of 2*d**2 + 1/3*d**3 - c*d**4 + d + 0. Solve z(x) = 0 for x.
-1, 2
Suppose 2*k - 3*f + 4 = -7, -3*f = -9. Let z be (2/(-6))/(k/6). Factor 4/3*d**2 - z*d**4 - 2*d + 4/3*d**3 + 2/3*d**5 + 2/3.
2*(d - 1)**4*(d + 1)/3
Let x(k) be the first derivative of -2 + 14/5*k**5 + 19/2*k**4 - 4*k + k**2 + 10*k**3. Factor x(d).
2*(d + 1)**3*(7*d - 2)
Let c(v) be the third derivative of v**7/420 + v**6/60 - 11*v**5/120 + v**4/8 - 48*v**2. Suppose c(s) = 0. What is s?
-6, 0, 1
Let t be ((-15)/(-10))/((-2)/(-4)). Factor -4*l**4 - 3*l**t + 2*l**4 + 3*l**3.
-2*l**4
Let l(i) = -3*i**2 - 2. Let z(g) = -7*g**2 + g - 5. Let t(h) = 10*l(h) - 4*z(h). Suppose t(s) = 0. What is s?
-2, 0
Let a(r) be the first derivative of 2 - 1/6*r**3 + 0*r - 1/4*r**2. Factor a(f).
-f*(f + 1)/2
Suppose -a - 27 = -q, 5*q = 3*a - 2*a + 31. Let s = 30 + a. Factor 1/3*i**s - 1/3*i - i**3 + 0 + i**2.
i*(i - 1)**3/3
Let z = 97/2 + -48. Solve -1/4*b**3 - b**4 - z - 5/4*b + 3*b**2 = 0 for b.
-2, -1/4, 1
Let i(x) be the second derivative of -x**7/420 - 13*x**6/1980 - x**5/330 + 7*x**3/6 - 6*x. Let g(f) be the second derivative of i(f). Find s such that g(s) = 0.
-1, -2/11, 0
Let i(o) be the first derivative of 6*o**4 - 6*o**3 + 3*o**2/2 - 4. Factor i(d).
3*d*(2*d - 1)*(4*d - 1)
Let b(r) be the first derivative of r**8/84 + 3*r**7/70 + r**6/20 + r**5/60 - 2*r**2 + 1. Let d(x) be the second derivative of b(x). Factor d(n).
n**2*(n + 1)**2*(4*n + 1)
Factor -10*u**2 + 14*u + 5*u**2 - 5 - 20 + 16*u.
-5*(u - 5)*(u - 1)
Let u(h) = 4*h - 2 + 4*h**2 - 3*h**3 - 2 - 2*h**3. Let j(f) = 4*f**3 - 3*f**2 - 3*f + 3. Let r(n) = 4*j(n) + 3*u(n). Let r(s) = 0. Calculate s.
0
Let l(m) be the first derivative of -m**3/3 + m**2 - 10*m + 5. Let u(g) = -1. Let v(d) = -2*l(d) + 18*u(d). Find s, given that v(s) = 0.
1
Let u be (-2)/4*(-10)/5. Let l be 2 - 2 - -2*u. Determine j so that 6*j**4 - 2*j**2 + 4*j**l - j**3 - 5*j**3 - 2*j**5 = 0.
0, 1
Let d(j) be the second derivative of -7*j**6/30 - 51*j**5/20 - 119*j**4/12 - 31*j**3/2 - 9*j**2 + 6*j. Factor d(f).
-(f + 1)*(f + 3)**2*(7*f + 2)
Let m be 2/(-1) + (-4)/5*-5. Factor 1/2*c**3 + 0 - c**m + 1/2*c.
c*(c - 1)**2/2
Suppose 4*o - 6 - 1 = 3*j, 3*o = -3*j + 21. Suppose -o*w + 6 = -6. Let -3*u**w - 3*u + 3*u - u - u**4 - 3*u**2 = 0. What is u?
-1, 0
Factor -10*t**2 + 20 + 5*t - 8 + 5*t**3 - 62 - 70*t.
5*(t - 5)*(t + 1)*(t + 2)
Let 0 + 12*l - 9*l**2 + 3/2*l**3 = 0. What is l?
0, 2, 4
Let b be 1 + (-6)/(-3)*2. Let g(t) be the third derivative of 0*t**3 + t**2 + 1/24*t**4 + 0*t + 0 - 1/60*t**b. Suppose g(i) = 0. What is i?
0, 1
Let d be ((-1)/3)/((-4)/36). Solve -11/3*u**3 + 7/3*u**2 + 11/3*u - d*u**4 + 2/3 = 0.
-1, -2/9, 1
Suppose 3*n - 5*n - 2*d = -14, -3*n - d = -13. Let l(y) be the first derivative of 4 + 1/3*y + 5/12*y**2 + 1/6*y**n. Factor l(b).
(b + 1)*(3*b + 2)/6
Let q = 19 - 27. Let l be (2/3)/(q/(-16)). Suppose 16/3*u**2 + 2*u**3 + 2*u - l = 0. What is u?
-2, -1, 1/3
Suppose s - 8*r - 10 = -6*r, 2*r + 10 = 2*s. Suppose -1/5*b**3 + s*b**2 + 0 + 1/5*b = 0. What is b?
-1, 0, 1
Let x(h) = -11*h**3 - 1. Let l be x(-1). Factor n**3 + 10*n - l*n - n**4.
-n**3*(n - 1)
Factor -3/2*z**4 + 0 - 9/2*z**2 + 3/2*z + 9/2*z**3.
-3*z*(z - 1)**3/2
Let l(m) be the first derivative of 0*m**2 + 0*m - 2 - 1/27*m**6 + 1/18*m**4 + 0*m**5 + 0*m**3. Factor l(g).
-2*g**3*(g - 1)*(g + 1)/9
Let k(p) be the third derivative of 5*p**2 - 1/42*p**4 + 0*p**3 + 0*p - 1/147*p**7 - 3/140*p**6 - 1/30*p**5 + 0 - 1/1176*p**8. Factor k(w).
-2*w*(w + 1)**3*(w + 2)/7
What is f in -2/9*f**3 + 0 + 0*f + 0*f**2 = 0?
0
Let u(t) = t**2 - 5*t + 10. Let b be u(3). Factor 1/3 + 2/3*c**2 + 2/3*c**3 + 1/3*c**5 - c**b - c.
(c - 1)**4*(c + 1)/3
Factor 0 - 16/9*r - 4/9*r**2.
-4*r*(r + 4)/9
Let o(s) be the third derivative of s**5/120 - 5*s**4/48 - 12*s**2. Let o(a) = 0. What is a?
0, 5
Let z(x) be the first derivative of x**5/25 - x**4/10 + x**3/15 + 8. Determine o so that z(o) = 0.
0, 1
Let q(x) = 2*x**3 + 3*x**2 - 5*x. Let t(n) = 15*n**3 + 25*n**2 - 40*n. Let u(a) = -25*q(a) + 3*t(a). Factor u(p).
-5*p*(p - 1)*(p + 1)
Let p(w) be the second derivative of w**7/42 + w**6/10 + 3*w**5/20 + w**4/12 + 14*w. Suppose p(m) = 0. What is m?
-1, 0
Let s(t) be the second derivative of -t**6/105 + t**5/35 + t**4/14 - 8*t**3/21 + 4*t**2/7 + 6*t. Suppose s(m) = 0. Calculate m.
-2, 1, 2
Factor 160*n + 24*n**4 - 97*n**2 - 4*n**4 - 20*n**3 - 64 + 4*n**5 - 3*n**2.
4*(n - 1)**3*(n + 4)**2
Let c be 2/7 + 182/49. Let m(w) be the first derivative of 1/5*w**2 - 1 - 1/5*w**c + 1/15*w**6 + 2/25*w**5 + 2/5*w - 4/15*w**3. Factor m(b).
2*(b - 1)**2*(b + 1)**3/5
Let u = 297572/195 - 1526. Let h = u - -376/1365. Solve 0*w - 2/7 + h*w**2 = 0 for w.
-1, 1
Let m(b) be the first derivative of -5 + 2/15*b**3 + 2/5*b**2 + 2/5*b. Solve m(o) = 0.
-1
Factor -5*v**3 + 24*v**2 - 2*v**3 - 12*v**2 + 4*v - 9*v**3.
-4*v*(v - 1)*(4*v + 1)
Let z = 11 + -13. Let q(c) = -2*c**3 + 5*c**2 - 4*c - 2. Let x(v) = v**3 - v**2 - v. Let h(l) = z*q(l) + 6*x(l). Suppose h(i) = 0. Calculate i.
-2/5, 1
Let x be (-4 + 20/8)*(-80)/30. Factor 0 + 1/2*m + m**3 + 5/4*m**2 + 1/4*m**x.
m*(m + 1)**2*(m + 2)/4
Let h(v) be the third derivative of v**8/210 - 2*v**7/175 - 79*v**6/1200 + 47*v**5/300 + v**4/4 + 2*v**3/15 - 6*v**2. What is u in h(u) = 0?
-2, -1/4, 2
Let d(t) = -7*t**2 + 10*t - 3. Let r(x) = -15*x**2 + 20*x - 5. Let k(l) = -7*d(l) + 3*r(l). Factor k(q).
2*(q - 1)*(2*q - 3)
Let h(w) = 3*w - 22. Let j be h(8). Suppose 2/7*z**5 + 0*z + 2/7*z**j + 6/7*z**3 + 6/7*z**4 + 0 = 0. What is z?
-1, 0
Factor -102*m + 7*m**2 + 111*m + 3*m**3 + 5*m**2.
3*m*(m + 1)*(m + 3)
Let k(i) be the second derivative of -i - 1/16*i**4 + 0 + 1/6*i**3 + 1/120*i**5 + i**2. Let d(o) be the first derivative of k(o). Factor d(m).
(m - 2)*(m - 1)/2
Let p = 38 + -17. Let y = p - 18. Factor 1/3 - 1/3*d**y - d + d**2.
-(d - 1)**3/3
Let j = 6 - 5. Factor -y - j - y**2 + 0 + 1.
-y*(y + 1)
Let q be (-60)/18 - 4*-1. Let a(x) be the second derivative of 1/18*x**4 + q*x**2 + 0 + 1/3*x**3 + x. Factor a(t).
2*(t + 1)*(t + 2)/3
Solve 2*z - 3 + 40*z**3 + 2*z**5 - 44*z**3 + 3 = 0.
-1, 0, 1
Let z(x) be the third derivative of 0 + 1/54*x**4 + 1/27*x**3 + 1/270*x**5 - 2*x**2 + 0*x. Factor z(s).
2*(s + 1)**2/9
Let u(t) be the second derivative of -t**7/126 - t**6/90 - 4*t. Factor u(g).
-g**4*(g + 1)/3
Let h = -4 - -1. Let v be (4 + -4 - h) + -3. Factor 0*l**2 + 0 + v*l - 1/4*l**4 + 1/4*l**3.
-l**3*(l - 1)/4
Let b(s) be the second derivative of s**5/20 - 3*s**4/4 + 9*s**3/2 - 7*s**2/2 + 2*s. Let c(k) be the first derivative of b(k). Factor c(r).
3*(r - 3)**2
Let o be (-32)/(-6) - 36/27. Suppose 0 = -3*y + 4*y - 2*u + 3, -o*y = -u - 9. Factor 1/2 + 1/4*h**y + 5/4*h + h**2.
(h + 1)**2*(h + 2)/4
Let s(a) be the first derivative of 0*a - 2/55*a**5 - 2/11*a**3 + 3/22*a**4 + 1/11*a**2 + 4. Solve s(q) = 0.
0, 1
Let s = -4/39 + 10/13. Find p, given that 