0). Find r such that -h*r**4 + 18/7*r + 4*r**3 - 32/7*r**2 - 4/7 + 2/7*r**5 = 0.
1, 2
Let w be ((-1)/(-4) - (-13)/(-52)) + 47. Let c = w - 44. Factor 0 - 1/3*p**c - 1/3*p + 2/3*p**2.
-p*(p - 1)**2/3
Let h(s) = 2*s**2 - 12*s - 3. Let b be h(8). Suppose 5*q - 49 = -o - 3*o, -3*o = -4*q - b. Find w, given that 3*w**2 + w**2 + o*w - 19*w = 0.
0, 2
Let h(l) be the second derivative of -1/24*l**4 + 0*l**3 + 1/60*l**6 + 1/84*l**7 + 0*l**2 + 0 - 1/40*l**5 + 22*l. Factor h(a).
a**2*(a - 1)*(a + 1)**2/2
Determine n so that 6/7*n - 6/7*n**3 + 0*n**2 - 3/7*n**4 + 3/7 = 0.
-1, 1
Let y(f) be the first derivative of 5/4*f**4 + 0*f**3 + 0*f + 0*f**2 + 9. What is g in y(g) = 0?
0
Suppose -6*v + 5 = -j - 2*v, 5*j - 3*v - 9 = 0. Let b(a) be the first derivative of -1/5*a**2 + 1/10*a**4 + 0*a + j - 2/15*a**3 + 2/25*a**5. Factor b(w).
2*w*(w - 1)*(w + 1)**2/5
Let k(d) be the third derivative of d**6/240 + d**5/10 + d**4 + 16*d**3/3 - 42*d**2 + 1. Let k(x) = 0. What is x?
-4
Solve -2/3*g**4 - 26/3*g**3 - 32*g**2 - 136/3*g - 64/3 = 0.
-8, -2, -1
Let s(q) be the third derivative of q**5/50 + q**4/12 + 2*q**3/15 + 64*q**2. Let s(j) = 0. What is j?
-1, -2/3
Let f be ((-12)/(-20))/((-12)/(-40)). Find y such that 8 + 21*y + 3 - 9*y**3 - 5 + 6*y**f = 0.
-1, -1/3, 2
Let 0 + 2/11*d**2 + 0*d - 2/11*d**3 = 0. What is d?
0, 1
Let h(r) be the third derivative of -5*r**8/336 + 13*r**7/21 - 193*r**6/24 + 26*r**5 - 30*r**4 + 27*r**2. Factor h(b).
-5*b*(b - 12)**2*(b - 1)**2
Suppose 8*n = 9*n - 17. Let 5*c**3 - 40*c**2 - 5 + 40*c**4 + 5*c**2 - 25*c + 3*c**5 + n*c**5 = 0. What is c?
-1, -1/2, 1
Let k(w) be the first derivative of w**5/70 - w**4/21 - w**3/21 + 2*w**2/7 + 11*w + 17. Let v(f) be the first derivative of k(f). Determine n so that v(n) = 0.
-1, 1, 2
Let z(k) be the first derivative of -1/9*k**3 + 0*k + 1/12*k**4 + 2 + 0*k**2. Determine i, given that z(i) = 0.
0, 1
Let p(y) = -y**3 - y - 4. Let b(s) = 9*s**3 + 30*s**2 + 308*s + 1032. Let v(l) = 3*b(l) + 24*p(l). Let v(f) = 0. What is f?
-10
Let r - r**3 + 1/3*r**2 - 2/3 + 1/3*r**4 = 0. Calculate r.
-1, 1, 2
Find l such that -3/10*l**2 - 6/5 - 1/10*l**3 + 8/5*l = 0.
-6, 1, 2
Let z(n) be the third derivative of -n**10/982800 - n**9/98280 - n**8/32760 - n**5/4 + 14*n**2. Let o(a) be the third derivative of z(a). Factor o(j).
-2*j**2*(j + 2)**2/13
Let m(j) be the third derivative of -j**7/1050 + 13*j**6/600 - 4*j**5/75 - 8*j**4/5 + 106*j**2 + j. Suppose m(f) = 0. Calculate f.
-3, 0, 8
Suppose 0 = 9*o - 4*o - 70. Let r be 4/(-6) - o/(-12). Factor r*k**2 - 1 - 1/2*k.
(k - 2)*(k + 1)/2
Suppose -4*y - 4 = 4*h - 0*y, 3*y = -15. Let -5*f**2 + 8*f**3 + 81*f**h - 76*f**4 - 10*f + 2*f**3 = 0. Calculate f.
-2, -1, 0, 1
Let 156/5*g + 4/5*g**5 - 7/5*g**4 - 46/5*g**3 + 37/5*g**2 + 36/5 = 0. Calculate g.
-2, -1/4, 3
Let z be (25/(-300)*(-2 - -5))/(6/(-64)). Factor -2/3*c**4 + 0*c**2 - z*c + 0 + 2*c**3.
-2*c*(c - 2)**2*(c + 1)/3
Let m(y) be the first derivative of y**6/15 - 2*y**5/5 + y**4/2 - 11*y - 22. Let u(i) be the first derivative of m(i). Find l such that u(l) = 0.
0, 1, 3
Suppose -4*z = -2*p - 32, 8*p - 8 = -z + 4*p. Suppose z*g + 8 = 24. Factor 2/3*c**3 + 0 - 2/3*c**g + 0*c.
2*c**2*(c - 1)/3
Let y(v) be the second derivative of -v**6/630 - v**5/70 + 2*v**4/21 - 5*v**3/6 - 16*v. Let w(t) be the second derivative of y(t). Find q such that w(q) = 0.
-4, 1
Let l = -1/26 + 17/104. Let i(q) be the second derivative of 1/60*q**6 - l*q**4 - 5*q - 1/6*q**3 + 0 + 0*q**5 + 0*q**2. Determine p, given that i(p) = 0.
-1, 0, 2
Suppose 7*q + 2*q - 18 = 0. What is o in -8*o + o**2 + 130 + o**3 - 142 - 5*o**2 + 5*o**q = 0?
-2, 3
Let t = 22 - 23. Let b be (1 - t)/(-6)*(1 - 1). Factor 1/5*g**5 + 0*g**2 + 0 - 2/5*g**3 + b*g**4 + 1/5*g.
g*(g - 1)**2*(g + 1)**2/5
Let i(f) be the second derivative of -1/21*f**7 + 0*f**6 + 0 + 0*f**3 + 4*f + 1/3*f**4 + 3/10*f**5 + 0*f**2. Factor i(z).
-2*z**2*(z - 2)*(z + 1)**2
Let a(o) = 8*o - 1. Let y be a(-1). Let s = -7 - y. Factor 3*n**4 - 9*n**s + 4*n + 3*n - n.
3*n*(n - 1)**2*(n + 2)
Suppose l = -m, -5*l + 2*m + 8 + 20 = 0. Factor -4*d**4 - 3*d**3 + 5*d**l - d + 0*d**4 + 5*d.
d*(d - 2)**2*(d + 1)
Let k = 269/31 - 1097/155. Let -8/5 - 2/5*d**2 - k*d = 0. What is d?
-2
Let j(r) = 8*r**2 - 20*r + 2. Let g(i) = -i**3 + 9*i**2 - 20*i + 3. Let d(o) = 2*g(o) - 3*j(o). Factor d(l).
-2*l*(l - 2)*(l + 5)
Factor 23/2*j**2 - 14*j + 6 - 4*j**3 + 1/2*j**4.
(j - 3)*(j - 2)**2*(j - 1)/2
Let w(k) be the second derivative of -k**6/180 - k**5/60 + 4*k**3 - 12*k. Let o(d) be the second derivative of w(d). Factor o(c).
-2*c*(c + 1)
Let h = 26 - 31. Let k = h - -8. Solve 5*l**k + 12*l**2 - l**3 - 4 + 4*l**3 = 0 for l.
-1, 1/2
Let f(h) = 2*h**2 - 42*h. Let q be f(21). Let c(d) be the third derivative of 1/27*d**3 + 0*d - 1/90*d**5 - 1/54*d**4 - 3*d**2 + q. Solve c(o) = 0 for o.
-1, 1/3
Suppose 0 = a - 4*s + 93, 5*s - 43 + 216 = -2*a. Let j = -799/9 - a. Find b such that -16/9*b + j*b**2 + 32/9 = 0.
4
Let s(z) be the second derivative of z**6/120 - z**5/30 - 11*z**2/2 + 9*z. Let i(m) be the first derivative of s(m). Factor i(c).
c**2*(c - 2)
Let k(f) be the third derivative of 10*f**2 + 0*f**3 + 1/8*f**4 + 0*f + 0 - 1/32*f**6 - 1/10*f**5. Factor k(x).
-3*x*(x + 2)*(5*x - 2)/4
Let -1/4*f - 1/2 + 3/4*f**2 + 1/4*f**3 - 1/4*f**4 = 0. Calculate f.
-1, 1, 2
Let l(n) be the second derivative of -2*n**7/21 - 28*n**6/15 - 12*n**5 - 24*n**4 + 39*n. Determine m, given that l(m) = 0.
-6, -2, 0
Let g(s) be the second derivative of s**7/105 - s**6/75 - s**5/50 + s**4/30 + s - 38. Factor g(b).
2*b**2*(b - 1)**2*(b + 1)/5
Let v(z) = 21*z**3 + z**2 - 21*z + 13. Suppose 3*y - 28 = -y. Let n(i) = 14*i**3 + i**2 - 14*i + 9. Let x(w) = y*n(w) - 5*v(w). Factor x(k).
-(k - 1)*(k + 1)*(7*k - 2)
Let f = -13224 + 13228. Factor 36 + 48*s - 28*s**3 + 49/4*s**f - 26*s**2.
(s - 2)**2*(7*s + 6)**2/4
Let h(a) be the second derivative of -4/9*a**3 + 0*a**2 - 31/10*a**5 + 35/18*a**6 + 17/9*a**4 - 7/18*a**7 - 2*a + 0. Find v, given that h(v) = 0.
0, 2/7, 1, 2
Let o = 16938 - 50810/3. Find a such that 80/3*a + o*a**2 + 400/3 = 0.
-10
Let n(k) be the second derivative of -3*k**5/10 - 8*k**4/9 + 11*k**3/9 + 14*k**2/3 + k + 227. Let n(l) = 0. Calculate l.
-2, -7/9, 1
Let z(a) be the first derivative of 5*a**3/3 - 65*a**2/2 + 60*a + 44. What is c in z(c) = 0?
1, 12
Factor 18/19*g - 4/19*g**2 - 20/19.
-2*(g - 2)*(2*g - 5)/19
Let w(n) be the second derivative of -n**6/90 + n**4/36 + 46*n. Factor w(q).
-q**2*(q - 1)*(q + 1)/3
Let y(d) = -d**3 + 19*d**2 + 44*d - 78. Let s be y(21). Let b be 30/s*3*3/(-15). Solve -5/2*k**2 + k + 0 + 1/2*k**4 - b*k**5 + 3/2*k**3 = 0 for k.
-2, 0, 1
Let f(n) = 4*n**3 - 24*n**2 + 2. Let c(w) = 6*w**2 - 2*w - 2. Let p be c(-1). Let l be f(p). Solve -1/8 - 1/8*j**3 + 1/8*j**l + 1/8*j = 0 for j.
-1, 1
Factor 0*z + 0*z**3 + 0 - 11/2*z**4 - 1/2*z**5 + 0*z**2.
-z**4*(z + 11)/2
Suppose -29*j = 17 - 104. Let g(y) be the first derivative of j*y - 9/2*y**2 + 3*y**3 - 3/4*y**4 + 7. Solve g(w) = 0 for w.
1
Determine j, given that 24/7*j - 3/7*j**3 + 0 + 3*j**2 = 0.
-1, 0, 8
Suppose 3*a = -5 + 11. Let o be -1 + a + 4 - 2. Suppose -22*b + 14*b**5 + 46*b**4 + 11*b + 54*b**o + 26*b**2 + 15*b = 0. Calculate b.
-1, -2/7, 0
Let n(l) be the first derivative of -l**6/8 - 5*l**5/6 - 5*l**4/8 - 13*l**2/2 - 15. Let z(h) be the second derivative of n(h). Factor z(u).
-5*u*(u + 3)*(3*u + 1)
Let b(t) be the first derivative of -3*t**5/50 - t**4/4 - t**3/10 + 3*t**2/5 + 20*t + 2. Let s(z) be the first derivative of b(z). Factor s(l).
-3*(l + 1)*(l + 2)*(2*l - 1)/5
Let q(n) = -n**3 - n**2. Let p(k) = 4*k**2 + 2*k - 3*k - 3*k**2 + 5*k - 3*k**3. Let m = 4 + -3. Let v(j) = m*p(j) - 5*q(j). Factor v(l).
2*l*(l + 1)*(l + 2)
Let j = 127 - 66. Suppose -61*v + j*v - 5*v**3 - 5*v**4 = 0. What is v?
-1, 0
Let x(l) be the first derivative of 25/8*l**2 + 20/3*l**3 + 45/8*l**4 + 2*l**5 + 0*l + 38 + 5/24*l**6. Factor x(y).
5*y*(y + 1)**3*(y + 5)/4
Suppose 0 = 2*u - 15*u. Suppose 0*i + u + 1/6*i**4 - 2/3*i**3 + 2/3*i**2 = 0. What is i?
0, 2
Let -14*r**2 - 1756 - 2*r**3 - 12*r**4 - 14*r**2 + 1756 + 58*r**3 - 16*r = 0. What is r?
-1/3, 0, 1, 4
Factor 0 + 24/5*x + 6*x**3 + 6/5*x**4 + 48/5*x**2.
6*x*(x + 1)*(x + 2)**2/5
Let y be (9/(-12))/(1/4). Let m be 17/4 - y/(-12). Factor 2*s - 2*s**2 - 8*s 