 33 = 0. Let g(s) be the third derivative of 1/3*s**4 + 0 + 0*s - r*s**3 + 1/15*s**5 - 5*s**2. Factor g(j).
4*(j - 1)*(j + 3)
Suppose 9*g - 16 = 8*g. Factor -2*p**2 - 11 - 10 - 11 - g*p.
-2*(p + 4)**2
Let f be (-4)/(-48)*(-2256)/(-94). Factor 5/6 + 1/6*q**f - q.
(q - 5)*(q - 1)/6
Let g(t) = t. Let a(o) = 4*o**3 + 6*o**2 - 21*o - 12. Let w(n) = -2*a(n) - 22*g(n). Find x, given that w(x) = 0.
-2, -1, 3/2
Let z(x) = 4*x**5 + 14*x**4 - 38*x**3 + 13*x**2 - 7. Let f(t) = -t**5 + 3*t**3 - t**2 + 1. Let k(s) = 28*f(s) + 4*z(s). What is g in k(g) = 0?
0, 2/3, 1, 3
Factor -17*z**2 + 0 + 16*z**2 + 4.
-(z - 2)*(z + 2)
Let b(a) be the second derivative of -3*a**5/80 - 11*a**4/16 - 19*a**3/4 - 15*a**2 + 726*a. Factor b(o).
-3*(o + 2)*(o + 4)*(o + 5)/4
Find i such that -21*i**5 + 57/2*i**2 - 135/2*i**4 - 6 - 42*i**3 + 18*i = 0.
-2, -1, 2/7, 1/2
Let t(x) = x**3 - 2*x**2 + x + 1. Let s = -2 - -4. Let a be t(s). What is f in f**5 - 2*f**2 + 2*f + 2*f**4 - a*f - 4*f**3 + 4*f**3 = 0?
-1, 0, 1
Find f, given that -6/11*f**3 + 140/11*f - 48/11 + 14/11*f**2 = 0.
-4, 1/3, 6
Let x(k) be the third derivative of 1/120*k**6 - 5*k**2 + 0 + 1/15*k**5 + 1/3*k**3 + 5/24*k**4 + 0*k. Factor x(v).
(v + 1)**2*(v + 2)
Let o(b) be the first derivative of b**4/2 + 2*b**3/3 + 35. Let o(a) = 0. Calculate a.
-1, 0
Let d(c) = -2*c. Let x(p) = -2*p**2 - 1008*p - 124002. Let s(n) = 6*d(n) - x(n). Factor s(l).
2*(l + 249)**2
Let f = 39 + -35. Let m(x) be the first derivative of 0*x**2 - 4 + 0*x + 1/3*x**6 - 6/5*x**5 + x**f + 0*x**3. Solve m(r) = 0.
0, 1, 2
Let x(f) be the third derivative of -f**6/120 - f**5/4 - 21*f**4/8 - 27*f**3/2 - 288*f**2. Determine w, given that x(w) = 0.
-9, -3
Let n(a) be the third derivative of -a**8/13440 + a**7/1680 - a**6/480 - a**5/20 - 12*a**2. Let u(h) be the third derivative of n(h). Factor u(w).
-3*(w - 1)**2/2
Let k be 5*((-12337)/1235 + 10). Let j(p) be the second derivative of 1/114*p**4 + p + 0 - k*p**3 + 2/19*p**2. Factor j(x).
2*(x - 2)*(x - 1)/19
Let k(z) = z**3 + 8*z - 3. Let s(n) = 3*n**3 + 18*n - 7. Let y(w) = 7*k(w) - 3*s(w). What is j in y(j) = 0?
-1, 0, 1
Let x be (-4)/22*22/(-48). Let i(o) be the second derivative of 3*o + 0*o**4 + 0*o**2 - x*o**3 + 0 + 1/40*o**5. Let i(w) = 0. What is w?
-1, 0, 1
Suppose 0 = -2*j + 3*h + 45, j - 6*j - h = -87. Suppose 28*l = j*l + 20. Suppose 5/7*n - 1/7*n**3 + 3/7 + 1/7*n**l = 0. Calculate n.
-1, 3
Let c = -1283/7 - -7705/42. Factor -1/6*u**4 + 0*u + c*u**3 + 0 - 1/6*u**5 + 1/6*u**2.
-u**2*(u - 1)*(u + 1)**2/6
Let k(h) be the third derivative of -h**5/450 - 11*h**4/180 - 2*h**3/5 - 34*h**2 + 1. Let k(s) = 0. What is s?
-9, -2
Let k = -4356 - -4360. Find g such that 0 - 21/2*g**k - 2*g - 2*g**5 - 37/2*g**3 - 12*g**2 = 0.
-2, -1, -1/4, 0
Factor -4*y**3 - 5*y**3 - 48*y**2 - 9*y**3 - 10*y**3 + 27*y**3.
-y**2*(y + 48)
Let i = 27 + -183. Let v = 1718/11 + i. Suppose -10/11*n**4 + v*n**5 + 18/11*n**3 + 0 + 4/11*n - 14/11*n**2 = 0. What is n?
0, 1, 2
Let a(g) be the third derivative of g**5/20 + g**4 + 6*g**3 - g**2 + 60*g. Factor a(t).
3*(t + 2)*(t + 6)
Let z(y) = y - 1 - 3 - y - y. Let d be z(-5). Factor -4*l**2 - 2 - d + 7.
-4*(l - 1)*(l + 1)
Let r(j) be the third derivative of 0 + 1/420*j**7 - 1/60*j**5 + 0*j + j**2 + 0*j**3 - 1/240*j**6 + 0*j**4. Suppose r(b) = 0. Calculate b.
-1, 0, 2
Let l(z) be the third derivative of -z**6/480 - z**5/10 + 17*z**4/32 - 13*z**3/12 - 6*z**2 + 14. Find u such that l(u) = 0.
-26, 1
Let r(k) be the third derivative of -k**8/1848 + k**6/132 - k**4/33 - 101*k**2 - 2*k. Let r(a) = 0. Calculate a.
-2, -1, 0, 1, 2
Let s(n) be the first derivative of -2*n**6/21 - 2*n**5/5 + 3*n**4/7 + 2*n**3/3 - 4*n**2/7 + 37. Let s(g) = 0. What is g?
-4, -1, 0, 1/2, 1
Let d be -6 + (-259)/(-49) - 4/14. Let h(v) = 12*v**2 - 20*v. Let y(u) = -u**2. Let l(j) = d*h(j) - 16*y(j). Factor l(n).
4*n*(n + 5)
Let w(v) = v**3 - 2*v - 1. Let q(r) = -r**3 - 18*r**2 - 13*r + 28. Let d(t) = -q(t) + 2*w(t). Factor d(a).
3*(a - 1)*(a + 2)*(a + 5)
Let d(m) be the first derivative of m**3 - 9*m**2 + 27*m + 215. Factor d(i).
3*(i - 3)**2
Let b(o) be the first derivative of o**4/54 - o**3/27 - 2*o**2/3 - 18*o - 8. Let w(j) be the first derivative of b(j). Suppose w(g) = 0. What is g?
-2, 3
Factor -2/7*g**4 + 6*g**3 + 0 + 0*g + 0*g**2.
-2*g**3*(g - 21)/7
Let u(l) be the third derivative of 5*l**5/72 + 185*l**4/72 - 25*l**3/12 - 289*l**2. Factor u(a).
5*(a + 15)*(5*a - 1)/6
Factor -1/4*f**2 + 1/4*f**3 + 3/8*f**4 + 1/8*f**5 - 1/8 - 3/8*f.
(f - 1)*(f + 1)**4/8
Let z be 20/(-60) - (-208)/3. Factor -z*a - a**2 + 35*a + 32*a.
-a*(a + 2)
Let l(c) = -c - 5. Let a be l(-7). Let d be (4/78)/(90/390). Solve -d*t**a - 8/9 + 8/9*t = 0 for t.
2
Let n(m) be the second derivative of -m**7/210 - m**6/45 - m**5/30 + 5*m**3 - 7*m. Let i(h) be the second derivative of n(h). Let i(s) = 0. What is s?
-1, 0
Let b(z) be the third derivative of -z**6/480 - 3*z**5/20 - 9*z**4/2 + 10*z**3/3 - 47*z**2. Let d(o) be the first derivative of b(o). Factor d(x).
-3*(x + 12)**2/4
Let i = 237 - 212. Suppose -25 + i = w. Factor -1/2*g**3 + 0*g**4 + 0*g**2 + w + 1/4*g + 1/4*g**5.
g*(g - 1)**2*(g + 1)**2/4
Let b = 2/85249 - -426241/170498. Factor -37/4*w**2 - 9 + 15*w + b*w**3 - 1/4*w**4.
-(w - 3)**2*(w - 2)**2/4
Factor 279*t - 51526 + 963*t - 3*t**2 - 77021.
-3*(t - 207)**2
Suppose 0 = -29*f - 6*f + 840. Let o(v) be the first derivative of -49/2*v**4 + 1 - 88*v**2 - f*v - 350/3*v**3. Find j such that o(j) = 0.
-3, -2/7
Let u(a) be the second derivative of 19/9*a**3 + 4/9*a**4 - 1/30*a**5 + 35*a + 10/3*a**2 + 0. What is j in u(j) = 0?
-1, 10
Let c(p) be the first derivative of -3*p**4/2 - 52*p**3/3 + 9*p**2 + 359. Suppose c(u) = 0. Calculate u.
-9, 0, 1/3
Let b be -1 - 130/(-25) - 0. Let o(f) be the first derivative of -15/2*f**2 + 3/2*f**6 + 6*f**3 - 3 - b*f**5 + 3/2*f**4 + 3*f. Factor o(t).
3*(t - 1)**3*(t + 1)*(3*t - 1)
Let k(d) be the first derivative of -30*d**3/7 + 223*d**2/7 + 20*d/7 + 917. Let k(h) = 0. Calculate h.
-2/45, 5
Factor 2*i**4 - 10*i**3 + 8*i**2 - 119 + 119.
2*i**2*(i - 4)*(i - 1)
Let v = 21 - 16. Let y be (-4)/(-18) + (-125)/(-45). Suppose -b**5 + 3*b**v - 2*b**4 - b**y + 2*b**2 - b**3 = 0. Calculate b.
-1, 0, 1
Suppose 6/11*l + 2/11*l**2 - 20/11 = 0. Calculate l.
-5, 2
Factor -b**4 + 5*b**4 - 60*b + 12*b**5 + 12*b**2 + 45*b**3 - 34*b**4 + 8*b**2 - 7*b**5.
5*b*(b - 3)*(b - 2)**2*(b + 1)
Let h be (-25)/(-10)*(-48)/(-30). Let i(z) be the first derivative of 3/34*z**h + 8/17*z + 2 - 10/51*z**3 - 4/17*z**2. Factor i(u).
2*(u - 2)*(u + 1)*(3*u - 2)/17
Determine m, given that -67*m**3 - 306 - 2210*m**2 + 880*m + 407*m**3 + 674*m**3 + 18 + 608*m = 0.
1/3, 12/13
Suppose -3*l = -2*u + 931, 6*l - u = 2*l - 1248. Let d = -2187/7 - l. Factor 0 - d*m**3 + 2/7*m**2 + 2/7*m.
-2*m*(m - 1)*(2*m + 1)/7
Let p(r) be the third derivative of r**5/15 - 3*r**4/2 + 28*r**3/3 - 148*r**2 - 2*r. Suppose p(o) = 0. Calculate o.
2, 7
Let n(j) be the third derivative of 0*j - 29*j**2 + 0 + 0*j**4 + 0*j**3 - 1/60*j**5. Suppose n(z) = 0. Calculate z.
0
Let u be (6/(-4))/(-6*2/32). Let x be (-140)/(-150) + u/10. Solve -x*w - 2/3*w**2 + 2 = 0 for w.
-3, 1
Factor -220/3*o - 100 - 52/3*o**2 - 4/3*o**3.
-4*(o + 3)*(o + 5)**2/3
Let h(x) be the third derivative of 0*x + 1/50*x**6 + 0*x**4 + 7*x**2 + 0*x**3 + 0 - 1/350*x**7 - 3/100*x**5. Let h(l) = 0. Calculate l.
0, 1, 3
Let g(m) = -m**3 - 4*m**2 + 12*m + 6. Let f be g(-6). Factor 2*h**3 - 3*h - 7*h + 2*h**3 + f*h.
4*h*(h - 1)*(h + 1)
Suppose -9*l + 1728 = -0*l. Let v = 194 - l. Suppose -3/2*c**v - 3 - 9/2*c = 0. Calculate c.
-2, -1
Let b = -10823 + 10825. Suppose 8/3*f**b + 4/3*f**5 + 8/3*f**3 + 4/3 - 4*f - 4*f**4 = 0. Calculate f.
-1, 1
Let p(j) be the third derivative of j**7/27720 - j**5/1320 - j**4/3 - 3*j**2. Let x(y) be the second derivative of p(y). Determine l, given that x(l) = 0.
-1, 1
Let c be 5 + 0 - (-1)/(-7 + 6). Factor 25*i**3 + 261*i + 10*i**c - 7*i**3 - 257*i + 14*i**2 + 2*i**5.
2*i*(i + 1)**3*(i + 2)
Let d(g) be the third derivative of 4/3*g**3 + 0 + 1/30*g**6 + 0*g + 4/15*g**5 + g**2 + 5/6*g**4. Factor d(q).
4*(q + 1)**2*(q + 2)
Let n(z) be the third derivative of -z**5/180 - 29*z**4/72 - 6*z**2 + 5*z. Find k such that n(k) = 0.
-29, 0
Factor 2*t**2 + 4/3*t - 8 - 1/3*t**3.
-(t - 6)*(t - 2)*(t + 2)/3
Let 