 ((-149)/3)/((-28)/(-6)). Let m = 78/7 + z. Let -1/6*w**2 + 2/3 + m*w = 0. Calculate w.
-1, 4
Let b(h) be the third derivative of 2*h**6/45 - 89*h**5/135 + 16*h**4/27 + 14*h**3/9 - 15*h**2 + h. Determine i, given that b(i) = 0.
-1/3, 3/4, 7
Let c be ((-12)/3 + 17/(153/36))/1. Find x such that 0*x + 0*x**2 + c + 1/5*x**3 = 0.
0
Let k be 45/(-150) + 4/8. Solve -1/5*h**3 - 4/5*h**2 + k*h**4 + 4/5*h + 0 = 0 for h.
-2, 0, 1, 2
Let a(z) = 7*z**2 + 3*z - 6. Let d(s) = -18*s**2 - 5*s + 13. Let p(t) = -10*a(t) - 4*d(t). Determine c, given that p(c) = 0.
1, 4
Let n(x) be the first derivative of -x**5 - 35*x**4/2 - 55*x**3 + 280*x**2 - 320*x - 25. Suppose n(v) = 0. What is v?
-8, 1
Let b(q) = q**4 + 10*q**3 - 21*q**2 - 8*q + 22. Let s(y) = -y**4 - 11*y**3 + 21*y**2 + 8*y - 23. Let u(g) = -6*b(g) - 4*s(g). Let u(d) = 0. What is d?
-10, -1, 1, 2
Let y(q) be the third derivative of 0*q - 18*q**2 - 1/3*q**3 - 1/120*q**6 + 0*q**5 + 0 + 1/8*q**4. Factor y(c).
-(c - 1)**2*(c + 2)
Let c = -713 + 713. Solve 0 + c*u - 1/4*u**3 - 1/4*u**2 = 0.
-1, 0
Suppose 20*m - 65 = 7*m. Let f(h) be the first derivative of -1/2*h**6 - 3/2*h**2 + 0*h**m + 2 + 0*h**3 + 3/2*h**4 + 0*h. What is d in f(d) = 0?
-1, 0, 1
Let t(j) = j**3 - 3*j**2 - 6*j - 10. Let c be t(5). Suppose -11*u + 9*u + 5*u**4 + 5 - c*u**2 - 5*u**5 - 3*u + 10*u**3 = 0. Calculate u.
-1, 1
Let c(n) = 5*n**4 + 5*n**3 - 6*n**2 + 2*n - 2. Let l(t) = 10*t**4 + 10*t**3 - 15*t**2 + 5*t - 5. Let g(r) = -5*c(r) + 2*l(r). What is i in g(i) = 0?
-1, 0
Suppose 0 = 7*n - 6*n - 8. Factor 3 + 7*f**2 - 3*f**2 - n*f + 1.
4*(f - 1)**2
Let m = -52 + 55. Factor -53*n - 2*n**m + 53*n - 2*n**4.
-2*n**3*(n + 1)
Let k(v) be the third derivative of -v**8/33600 - v**7/2520 + v**6/450 + v**5/4 - 13*v**2. Let a(y) be the third derivative of k(y). Let a(t) = 0. What is t?
-4, 2/3
Let o(w) be the third derivative of w**8/112 + 17*w**7/70 + 17*w**6/8 + 159*w**5/20 + 45*w**4/4 + 8*w**2 + 5. Determine k, given that o(k) = 0.
-10, -3, -1, 0
Let u(m) = -m. Suppose 0*a - 108 = 6*a. Let b(y) = y**2 - 8*y - 2. Let q(l) = a*u(l) + 2*b(l). Factor q(j).
2*(j - 1)*(j + 2)
Let k(l) be the third derivative of -3*l**5/35 - 37*l**4/56 - 3*l**3/14 - 4*l**2 - 3. Factor k(v).
-3*(v + 3)*(12*v + 1)/7
Let u(t) = 4*t**2 - 25*t + 10. Let a be u(6). Let x be (4/(-4))/(a/(-8)). Factor 2/7*y**x - 8/7*y + 8/7.
2*(y - 2)**2/7
Let l(d) = -14*d**3 - 8*d - 8. Let r = -18 - 0. Let z = r - -23. Let v(b) = 9*b**3 + 5*b + 5. Let j(y) = z*l(y) + 8*v(y). Factor j(g).
2*g**3
Suppose -40/7*b - 18/7*b**2 - 8/7 = 0. Calculate b.
-2, -2/9
Let r = 2411/12 - 602/3. Suppose 1/4*d + r*d**2 - 3/2 = 0. What is d?
-3, 2
Let x(c) be the third derivative of -c**7/105 + c**6/60 + c**5/5 - 5*c**2. Solve x(z) = 0 for z.
-2, 0, 3
Let s(c) be the third derivative of 0*c - 1/180*c**5 - 5/72*c**4 + 0 - 8*c**2 - 2/9*c**3. Let s(u) = 0. Calculate u.
-4, -1
Let m(c) be the second derivative of 13*c - 2/3*c**3 - 1/6*c**4 + 1/10*c**5 + 0 + 0*c**2. Solve m(b) = 0.
-1, 0, 2
Let w(s) be the second derivative of -s**6/180 + s**5/14 - 2*s**4/21 + s**3/6 + 20*s. Let x(z) be the second derivative of w(z). Solve x(a) = 0 for a.
2/7, 4
Let l(f) be the third derivative of f**5/40 - 3*f**4/16 - f**3 + 135*f**2. Factor l(m).
3*(m - 4)*(m + 1)/2
Let i(n) be the third derivative of n**7/210 + 7*n**6/120 + n**5/12 - 7*n**4/24 - n**3 + 363*n**2. Factor i(l).
(l - 1)*(l + 1)**2*(l + 6)
Let q(v) = 2*v**3 - 6*v**2 + 4. Let x(c) = 2*c**3 - 5*c**2 - c + 3. Let g(n) = -3*q(n) + 4*x(n). Let g(t) = 0. Calculate t.
-1, 0, 2
Determine t so that 5/9*t**3 + 1/9*t**4 + t**2 + 7/9*t + 2/9 = 0.
-2, -1
Let a(s) be the second derivative of -s**5/20 - 5*s**4/4 + 250*s**2 + 75*s. Suppose a(n) = 0. Calculate n.
-10, 5
Let q(g) be the second derivative of g**7/210 + 4*g**6/45 + 7*g**5/30 + g**3/3 - 25*g. Let z(h) be the second derivative of q(h). Suppose z(d) = 0. What is d?
-7, -1, 0
Find r such that -228910 - 30*r**4 - 5*r**5 - 20*r**2 + 228910 - 45*r**3 = 0.
-4, -1, 0
Suppose -1/3*i**2 - 1/3*i**3 + 0 + 4*i = 0. What is i?
-4, 0, 3
Suppose -4*h + 28 = 4*k, -4*h + 2 = k - 14. Suppose -o = 5*p + o - 230, -p - h*o = -33. Factor -231/2*g**3 - p*g**2 - 6*g - 147/2*g**4 + 0.
-3*g*(g + 1)*(7*g + 2)**2/2
Let b(n) be the second derivative of n**5/10 - n**4/3 - 8*n**3/3 - 73*n. Factor b(w).
2*w*(w - 4)*(w + 2)
Factor 5*j**2 - 32*j**2 - 2*j**3 + 8*j**4 + 5*j**5 - 3*j**5 + 23*j**2 - 4*j**2.
2*j**2*(j - 1)*(j + 1)*(j + 4)
Let f(q) be the second derivative of q**6/10 + 3*q**5/4 - 2*q**4 - 6*q**3 - 450*q. Factor f(x).
3*x*(x - 2)*(x + 1)*(x + 6)
Let p = 119 - 116. Suppose -p*o - 3*j = 0, -7*o + 5*o = -3*j - 15. What is l in 15/2*l**4 + 0 + 15/2*l**o + 5/2*l**5 + 5/2*l**2 + 0*l = 0?
-1, 0
Suppose -8 = 8*h - 0*h. Let a be h/12*(2 - 31/2). Factor a + 1/8*k**2 + 3/4*k.
(k + 3)**2/8
Let z = -57 - -63. Factor -4*r**5 + 20*r**4 + z*r**3 + 0*r**4 - 26*r**3 - r**5.
-5*r**3*(r - 2)**2
Suppose 0 + 0 = 9*d. Let u(o) be the second derivative of -1/60*o**6 - 1/8*o**4 + d*o**2 - 1/12*o**3 + 3*o + 0 - 3/40*o**5. Suppose u(w) = 0. Calculate w.
-1, 0
Let y(w) be the third derivative of w**11/498960 - w**9/90720 - 3*w**5/10 - 16*w**2. Let d(a) be the third derivative of y(a). Factor d(u).
2*u**3*(u - 1)*(u + 1)/3
Suppose z + 0*z = -3*h + 14, -2*h - 9 = -3*z. Suppose 7*n - 9*n = -3*l + 8, h*n - 18 = -3*l. Determine k, given that 1/5 - 1/5*k**n + 0*k = 0.
-1, 1
Let u(r) = 80*r + 800. Let y be u(-10). What is d in 2/7*d**3 - 12/7*d - 2/7*d**2 + y = 0?
-2, 0, 3
Suppose 4*y + 20 = 0, -5*q + 4*y + 40 + 5 = 0. Let z(s) be the third derivative of 0*s**3 + 1/42*s**4 + 1/420*s**6 + 0*s + q*s**2 + 0 - 1/70*s**5. Factor z(k).
2*k*(k - 2)*(k - 1)/7
Suppose 0 = -28*m + 12*m + 8 + 24. Factor -7/3*p**3 - 1/3*p**4 + 32/3 - m*p**2 + 32/3*p.
-(p - 2)*(p + 1)*(p + 4)**2/3
Let a(g) be the first derivative of -5/6*g**3 + 7/8*g**4 + 0*g - 1/2*g**2 + 14. Determine m so that a(m) = 0.
-2/7, 0, 1
Let r(y) = 2. Let t(q) = -5. Let m(n) = 8*r(n) + 3*t(n). Suppose -5*a + 6 = 1. Let b(j) = -j**3 + 6. Let p(g) = a*b(g) - 6*m(g). Suppose p(z) = 0. Calculate z.
0
Let p(s) be the first derivative of 1/2*s - 2/5*s**5 - 3/2*s**3 + 11/8*s**4 + 1 + 1/4*s**2. Factor p(g).
-(g - 1)**3*(4*g + 1)/2
Suppose 12*m + 14 = -2*b + 7*m, -20 = -4*b + 2*m. Factor -1/3*x**4 - 2*x**3 + b + 2*x - 8/3*x**2.
-(x - 1)*(x + 1)*(x + 3)**2/3
Let x(y) be the second derivative of -y**4/9 + 11*y**3/12 - y**2/3 + 799*y. Suppose x(f) = 0. What is f?
1/8, 4
Let s be (4 + (-95)/20)*64/24*-1. Factor -2*g + 0*g**s + 0 + 1/2*g**3.
g*(g - 2)*(g + 2)/2
Let b = 146/1065 - 5/71. Let q(h) be the first derivative of -6 - 1/30*h**4 + b*h**2 + 0*h + 0*h**3. Suppose q(p) = 0. Calculate p.
-1, 0, 1
Suppose -3*r - 4*q + 28 = 34, -2*q - 4 = r. Factor -1/6*i**r + 1/3*i + 0.
-i*(i - 2)/6
Factor 436*a**2 - 441*a**2 + 152 - 25*a - 32.
-5*(a - 3)*(a + 8)
Let g be 4/(-6) + (-666)/(-27). Suppose 6*p = -g + 36. Factor 6/5*b - 2/5*b**p - 4/5.
-2*(b - 2)*(b - 1)/5
Let c(q) be the third derivative of -q**7/10080 + q**6/960 - q**5/240 + q**4/24 + 9*q**2. Let s(n) be the second derivative of c(n). Factor s(f).
-(f - 2)*(f - 1)/4
Let t(u) = 2*u**2 + 5*u + 2. Let p be t(-3). Suppose 0*s + y - 6 = -2*s, p*s = -3*y + 15. Solve 2/9*c**2 + 0 + 0*c + 0*c**s - 2/9*c**4 = 0.
-1, 0, 1
Let b = -20/67 - -187/402. Factor 0 + 1/6*h**4 + b*h**2 + 0*h + 1/3*h**3.
h**2*(h + 1)**2/6
Let w(r) be the first derivative of -2*r**5/5 - 4*r**4 - 14*r**3 - 22*r**2 - 16*r - 278. Factor w(k).
-2*(k + 1)**2*(k + 2)*(k + 4)
Let v(p) be the second derivative of 27*p**6/10 + 2223*p**5/20 + 62953*p**4/48 + 2223*p**3/2 + 729*p**2/2 + 912*p. Let v(t) = 0. Calculate t.
-27/2, -2/9
Let v(s) = -s - 7. Suppose 4*r = 10*r + 54. Let f be v(r). Factor -a**5 + 0*a - 5/3*a**3 - 7/3*a**4 + 0 - 1/3*a**f.
-a**2*(a + 1)**2*(3*a + 1)/3
Suppose j + 15 = 2*c - 2*j, -4*c = j - 65. Factor 5*r**3 - 2*r - 16*r**4 - 3*r - 5*r**2 + 6*r**4 + c*r**4.
5*r*(r - 1)*(r + 1)**2
Let f(t) be the second derivative of -t**5/60 + t**4/18 + 5*t**3/18 - t**2 - t - 12. Factor f(s).
-(s - 3)*(s - 1)*(s + 2)/3
Let s(d) be the third derivative of -1/30*d**5 + 0 - d**2 - 1/3*d**4 + 5/3*d**3 + 0*d. Find q such that s(q) = 0.
-5, 1
Let g be 4/(-6) + (7 - (-278)/(-6)). Let w = g - -83/2. Factor 0 - 1/2*z + 1/2*z**4 - 3/2*z**3 + w*z**2.
z*