rivative of o(t). Factor r(a).
2*(a - 1)*(3*a + 1)*(5*a + 2)
Let a = 847 - 10163/12. Let l(b) be the third derivative of 0*b**3 + 5/24*b**4 + a*b**5 + 0*b + 0 - 9*b**2. Solve l(m) = 0.
-1, 0
Factor -43*z + z**2 + 64*z - 27 + 12*z**2 + 14*z**2 - 21*z**3.
-3*(z - 1)*(z + 1)*(7*z - 9)
Let p(v) be the first derivative of 0*v - 8/21*v**3 + 4/7*v**5 + 19 + 3/7*v**4 + 0*v**2. Factor p(t).
4*t**2*(t + 1)*(5*t - 2)/7
Let t(o) = 2*o**2 - 108*o - 25. Let p(z) = z**2 - 54*z - 10. Let g(i) = 5*p(i) - 2*t(i). Factor g(s).
s*(s - 54)
Let p(b) = 2*b**2 - 11*b - 24. Let q be p(7). Let i be ((-4)/(-84))/(q/27*-3). Determine v so that 1/7*v**2 + 0*v + 2/7*v**3 + 0 + i*v**4 = 0.
-1, 0
Let g(z) be the first derivative of 7*z**4/5 + 4*z**3/15 - 12*z**2/5 - 35. Factor g(c).
4*c*(c + 1)*(7*c - 6)/5
Let l(v) = 15*v + 304. Let x be l(-20). Find d such that 0*d**2 - 16/3*d + x*d**3 + 4/3*d**4 + 0 = 0.
-2, 0, 1
Let k be 1/2*0/(11 + -19). Let z(d) be the second derivative of -4/3*d**3 - 1/15*d**6 + k + 8*d**2 + 1/2*d**5 - 2*d - d**4. Factor z(j).
-2*(j - 2)**3*(j + 1)
Let x(u) be the second derivative of -u**5/30 - u**4/9 - u**3/9 + 232*u. Find w such that x(w) = 0.
-1, 0
Let h(u) be the first derivative of 2*u**3/57 + 29*u**2/19 + 56*u/19 + 135. Factor h(r).
2*(r + 1)*(r + 28)/19
Let c(z) be the second derivative of -z**5/150 + z**4/9 + 11*z**3/45 + 13*z - 6. What is m in c(m) = 0?
-1, 0, 11
Let h(z) be the first derivative of 7/8*z**4 + 1/2*z**2 - 3/2*z**3 + 0*z + 2. Factor h(s).
s*(s - 1)*(7*s - 2)/2
Let q be 12/18 + -1 - 52/(-12). Suppose 5*d - 3*v + 1 = -0, 0 = -5*d - 3*v + 11. Factor -4*s**3 + 3*s**2 + 3*s**q + 9*s - 9*s**3 + 4*s**3 - 5 - d.
3*(s - 2)*(s - 1)**2*(s + 1)
Factor 59/2 + 117/4*f - 1/4*f**2.
-(f - 118)*(f + 1)/4
Let a(s) = -23*s**2 + 516*s + 301. Let q be a(23). Determine c, given that 28/3*c**5 + 160/3*c**4 + 16/3*c + 232/3*c**q - 32/3 + 316/3*c**3 = 0.
-2, -1, 2/7
Let m be (-48)/(-60)*5/6. Let f be (-4)/24 - (-3)/2. Factor -m*c**2 - f*c - 2/3.
-2*(c + 1)**2/3
Let k(f) = 3*f**2 - 64*f + 21. Let x be k(21). Let a(q) be the second derivative of -2*q + 0 - 1/48*q**4 + x*q**2 - 1/24*q**3. Let a(w) = 0. What is w?
-1, 0
Let h = -57 + 63. Let q(f) be the third derivative of -2/105*f**7 - 1/40*f**h + 0*f + 1/60*f**5 + 0*f**4 - 4*f**2 + 0*f**3 + 0. Factor q(w).
-w**2*(w + 1)*(4*w - 1)
Let k = 18 - 42. Let f = -18 - k. Factor -f + 4*s - 2/3*s**2.
-2*(s - 3)**2/3
Let h(y) = -15*y**2 - 55*y + 37. Let o(a) = 138*a + 45*a + 91*a + 59*a**2 + 15*a**2 - 186. Let j(x) = -14*h(x) - 3*o(x). Suppose j(i) = 0. Calculate i.
-5, 2/3
Suppose 0 = -5*w + 23 + 2. Suppose -4*b - p - 3 = 0, w*p + 18 = -4*b + 3. Let b*t + 2/9*t**2 - 2/9 = 0. What is t?
-1, 1
Factor -2/3*i**2 - 8/3*i + 8/3 + 2/3*i**3.
2*(i - 2)*(i - 1)*(i + 2)/3
Let h(u) be the first derivative of -1/9*u**3 + 4/3*u + 3 + 1/2*u**2. Factor h(g).
-(g - 4)*(g + 1)/3
Let s = 79/6 + -541/42. Suppose -2*g = d - 7, -3*d = -4*d + 5*g - 7. Let -16/7*t + 8/7 - s*t**d + 10/7*t**2 = 0. What is t?
1, 2
Let s(q) be the third derivative of 1/108*q**4 + 30*q**2 + 0*q + 1/135*q**5 - 2/27*q**3 - 1/540*q**6 + 0. Suppose s(j) = 0. Calculate j.
-1, 1, 2
Factor 15/2 - 27/4*o**2 + 3/4*o.
-3*(o + 1)*(9*o - 10)/4
Let t(h) be the second derivative of -h**4/27 + 34*h**3/9 - 100*h**2/9 + 138*h. Factor t(w).
-4*(w - 50)*(w - 1)/9
Find k such that 72/17 + 2/17*k**2 + 24/17*k = 0.
-6
Let b = -10 - -14. Let m(a) = 245*a**2 - 214*a + 40. Let d(i) = -1470*i**2 + 1285*i - 240. Let z(x) = b*d(x) + 25*m(x). Factor z(l).
5*(7*l - 4)*(7*l - 2)
Let c(x) be the third derivative of x**6/135 + x**5/30 + x**4/54 + 32*x**2 - 2. Determine y, given that c(y) = 0.
-2, -1/4, 0
Let p(w) be the first derivative of -19 - 5/16*w**4 + 0*w - 1/4*w**3 + 1/4*w**2. Solve p(s) = 0.
-1, 0, 2/5
Let u(d) be the second derivative of 4*d**6/15 + d**5/10 - 2*d**4/3 - d**3/3 - 70*d - 2. Factor u(v).
2*v*(v - 1)*(v + 1)*(4*v + 1)
Let o(d) = d**2 - 15*d. Let i be o(17). Find k, given that -34*k + 2*k**3 + i*k = 0.
0
Let c(v) = -8*v**2 + 22*v. Let f(y) = y**2 - 2*y. Let x(w) = -2*c(w) - 18*f(w). Factor x(u).
-2*u*(u + 4)
Suppose -8*p + 54 = -90. Let d be 8/p - (136/36 + -4). Solve 0 + d*x**4 - 2/3*x**2 + 7/3*x**3 + 0*x - 7/3*x**5 = 0.
-1, 0, 2/7, 1
Let g(y) be the second derivative of -5/2*y**2 + 0 - 5/2*y**3 + 1/3*y**6 - 5/12*y**4 + 3/4*y**5 + 10*y. Factor g(m).
5*(m - 1)*(m + 1)**2*(2*m + 1)
Let f be 418/133 - 12/(-14). Let u(r) be the third derivative of 0 + 0*r + 1/210*r**5 + 1/21*r**f + 4*r**2 - 1/105*r**6 - 1/21*r**3. Let u(b) = 0. What is b?
-1, 1/4, 1
Let c(q) = -289*q - 2*q**3 - 60*q**2 - 6*q**3 - 7*q**3 - 500. Let h(a) = 8*a**3 + 30*a**2 + 144*a + 250. Let r(o) = -6*c(o) - 11*h(o). Let r(y) = 0. What is y?
-5
What is u in -2/5*u**3 + 3286064/5 + 708/5*u**2 - 83544/5*u = 0?
118
Determine p so that 4*p**4 - 4*p**4 + 31*p**2 + p**2 - 12*p**3 - 3*p**4 + p**4 = 0.
-8, 0, 2
Let k(q) be the first derivative of -q**7/9240 + q**6/660 - 3*q**5/440 + q**4/66 - 35*q**3/3 + 25. Let u(l) be the third derivative of k(l). Factor u(s).
-(s - 4)*(s - 1)**2/11
Let p(r) = 20*r**4 + 104*r**3 + 212*r**2 + 128*r - 8. Let z(a) = 7*a**4 + 35*a**3 + 71*a**2 + 43*a - 3. Let o(b) = -3*p(b) + 8*z(b). Factor o(k).
-4*k*(k + 1)*(k + 2)*(k + 5)
Let v = 116722/109455 + 2/7297. Find g, given that v*g**3 + 32/15*g - 12/5*g**2 - 2/3 - 2/15*g**4 = 0.
1, 5
Let c(n) be the first derivative of n**6/33 + 4*n**5/55 - 7*n**4/22 + 8*n**3/33 + 10. Factor c(y).
2*y**2*(y - 1)**2*(y + 4)/11
Let -40/3 + 14*f - 2/3*f**2 = 0. Calculate f.
1, 20
Let x(k) be the first derivative of -k**3 + 12*k**2 - 19. Determine f, given that x(f) = 0.
0, 8
Let b(p) = -p + 2. Let z(w) = -9*w**2 - 51*w - 54. Let h(d) = 9*b(d) + z(d). Find f such that h(f) = 0.
-6, -2/3
Factor 6*x + 4*x**4 + 47*x**5 + x**4 - 8*x**3 - x**4 - 4*x**2 - 45*x**5.
2*x*(x - 1)**2*(x + 1)*(x + 3)
Let v = -10290 - -92611/9. Suppose -2/9*t**3 + 0*t**4 + 1/9*t + v*t**5 + 0*t**2 + 0 = 0. What is t?
-1, 0, 1
Suppose -5*c + 5*z - 470 = 0, 2*c - 5*z + z + 188 = 0. Let a = -373/4 - c. Factor -3/4*w + 3/2*w**2 + a*w**3 - 3/2.
3*(w - 1)*(w + 1)*(w + 2)/4
Factor -2/5*j**3 + 0*j + 0 - 72/5*j**2.
-2*j**2*(j + 36)/5
Let j(c) = -3*c**3 + 31*c**2 - 90*c - 5. Let i(a) = -a**3 + 16*a**2 - 44*a - 2. Let b(n) = -5*i(n) + 2*j(n). Let b(s) = 0. What is s?
-20, 0, 2
Let v be -1*23/(92/(-8)). Find j such that -2/21*j**v + 0 + 4/21*j = 0.
0, 2
Let q(k) be the first derivative of -k**3/15 + k**2/10 + 6*k/5 - 70. Determine f, given that q(f) = 0.
-2, 3
Let k(q) be the second derivative of -q**6/300 + 11*q**2/2 - 15*q. Let o(s) be the first derivative of k(s). Solve o(m) = 0.
0
Suppose 3*l + 30 = -4*n, 50 = -5*l - 5*n + n. Let x be 15/l + (-27)/(-10). Factor -3/5*d - x + 3/5*d**2.
3*(d - 2)*(d + 1)/5
Suppose -u = -z + 32, z - 3*u = 26 + 10. Suppose -51*n = -66*n + z. Factor 10/9*c**4 + 0 + 56/9*c**n + 16/9*c + 44/9*c**3.
2*c*(c + 2)**2*(5*c + 2)/9
Factor 81/5*j**2 - 1/5*j**3 + 320 - 336*j.
-(j - 40)**2*(j - 1)/5
Let q(d) be the third derivative of 1/12*d**4 + 0 + 1/10*d**5 - d**3 + 0*d + 3*d**2 - 1/60*d**6. Let q(a) = 0. What is a?
-1, 1, 3
Let m = 7 + -3. Suppose -m*q = 2*y - 16, -2*y - 16 = -0*y - 4*q. Factor -6*p**2 + 2*p**2 + 0*p**2 - 3*p**3 + p**4 + y*p**4.
p**2*(p - 4)*(p + 1)
Suppose 0 = 3*d + 3*v - 597, -4*d + 4*v + 967 = 203. Let y = d - 1363/7. Factor 0*q - y*q**4 + 0 + 2/7*q**2 + 0*q**3.
-2*q**2*(q - 1)*(q + 1)/7
Factor -1/2*u**3 + 11/2*u**2 - 27/2 - 15/2*u.
-(u - 9)*(u - 3)*(u + 1)/2
Let m(s) be the first derivative of -5*s**3 - 69*s**2/2 - 36*s + 739. Factor m(x).
-3*(x + 4)*(5*x + 3)
Let c be 2/(-6)*2*-3. Let y be (((-5412)/18)/22 - -15)/2. Factor 1/3*a**4 + 0*a**c - 1/3 - y*a + 2/3*a**3.
(a - 1)*(a + 1)**3/3
Let z(l) be the third derivative of -l**4/4 + 34*l**3/3 - 74*l**2. Let x be z(11). Factor -2/13*o**3 + 0 + 0*o**x + 8/13*o.
-2*o*(o - 2)*(o + 2)/13
Let o(v) be the second derivative of v**6/1020 - v**5/255 + v**4/204 + 8*v**2 + 8*v. Let f(b) be the first derivative of o(b). Factor f(q).
2*q*(q - 1)**2/17
Let s(n) = -2*n**2 + 5*n - 5. Let k be s(2). Let q be (-9 - (3 + k))/(-4). Let -3/4*d + q*d**2 + 0 = 0. What is d?
0, 1/3
Let p(m) be the second derivative of 3*m**4 + 7*m**3 + 3/10*m**5 + 0 + 15/2*m**2 - 23*m - 1/10*m**6. Factor p(i).
-3*(i - 5)*(i + 1)**3
Let h be (0 + -