ctor x(n).
(n - 1)*(n + 1)
Let u(w) = 25*w + 352. Let v be u(-14). Factor -2*f**v + 0 - 2*f**3 + 0*f - 1/2*f**4.
-f**2*(f + 2)**2/2
Let h(i) be the second derivative of -2*i**7/21 - 2*i**6/15 + 2*i**5/5 + 2*i**4/3 - 2*i**3/3 - 2*i**2 + 257*i. Factor h(r).
-4*(r - 1)**2*(r + 1)**3
Find c such that 5*c + 5*c**5 - 2*c**2 - 12*c**4 - 15*c + 10*c + 9*c**3 = 0.
0, 2/5, 1
Determine o so that 0 + 4*o**2 - 4*o**4 - 2/7*o**5 + 26/7*o - 24/7*o**3 = 0.
-13, -1, 0, 1
Determine f so that 21*f**3 - 19*f**2 - 197*f**2 + 278 + 564*f - 422 = 0.
2/7, 4, 6
Let z(j) be the second derivative of 0 - 5/4*j**4 - 25/6*j**3 + 5*j**2 + 8*j. Factor z(s).
-5*(s + 2)*(3*s - 1)
Let a = 91/25 - 199/100. Let i(t) be the first derivative of 1/10*t**2 + 8/15*t**6 + 8/5*t**5 + 2/3*t**3 + 7 + a*t**4 + 0*t. Suppose i(x) = 0. What is x?
-1, -1/4, 0
Determine v, given that -40 - 1/3*v**2 + 29/3*v = 0.
5, 24
Let u(q) = -18*q**2 + q - 1. Let m be u(1). Let o be ((-4)/6)/(3/m) - 4. Factor -1/3*s**2 + o*s + 1/3.
-(s - 1)*(s + 1)/3
Let p(l) be the first derivative of l**6/720 - l**5/120 - l**4/16 - 4*l**3 - 12. Let x(o) be the third derivative of p(o). Factor x(j).
(j - 3)*(j + 1)/2
Let j(c) be the first derivative of 18 + 0*c + 1/20*c**4 + 1/10*c**2 - 2/15*c**3. Factor j(p).
p*(p - 1)**2/5
Suppose -c = -3*c - 2. Let y(s) = s**4 - s**3 + s**2 + s - 1. Let f(x) = -9*x**4 + 9*x**3 - 15*x**2 - 9*x + 12. Let u(z) = c*f(z) - 12*y(z). Factor u(m).
-3*m*(m - 1)**2*(m + 1)
Let x(c) be the second derivative of -6*c + 1/2340*c**6 + 0*c**4 - c**3 + 0 - 1/390*c**5 + 0*c**2. Let u(q) be the second derivative of x(q). Solve u(g) = 0.
0, 2
Let k(q) = q**2 + 11*q - 12. Let v(j) = -2*j**2 - 32*j + 34. Let b(f) = -17*k(f) - 6*v(f). Factor b(o).
-5*o*(o - 1)
Let y(g) = 2*g**4 - g**3 - 2*g**2. Let h(l) = -10*l**4 + 10*l**3 + 12*l**2 - 24*l + 16. Let z(m) = h(m) + 4*y(m). Factor z(u).
-2*(u - 2)**2*(u - 1)*(u + 2)
Let h(y) = -7*y**2 - 58*y - 128. Let o(k) = 14*k**2 + 109*k + 256. Let v(g) = -15*h(g) - 6*o(g). Let v(b) = 0. What is b?
-8, -16/7
Let a = 14 - 9. Suppose 0 = -a*m - 0*m + 25. Determine x so that 12*x**2 - 5*x**3 + 51*x**4 + 58*x**3 + 8*x**3 - x**3 + 12*x**m = 0.
-2, -1/4, 0
Let b be (-94)/6*(2 + (-1 - 6)). Let r = -78 + b. Find g, given that -2/3*g**2 + 1/3*g + 0*g**3 - r*g**5 + 2/3*g**4 + 0 = 0.
-1, 0, 1
Let r = 12814 + -12811. Let 0*f - 6/7*f**2 + 3/7*f**r + 0 = 0. What is f?
0, 2
Let q(b) be the first derivative of -b**6/6 + b**4 + 2*b**3/3 - 3*b**2/2 - 2*b + 36. Find u, given that q(u) = 0.
-1, 1, 2
Let f(p) = -3*p**4 - 57*p**3 - 147*p**2 - 30*p + 15. Let i(k) = -k**3 + k**2 + 2*k - 1. Let l(o) = -f(o) - 15*i(o). Find m such that l(m) = 0.
-22, -2, 0
Let w(l) be the first derivative of 0*l**3 - 1/42*l**4 - 4 + 0*l + 0*l**2. Factor w(q).
-2*q**3/21
Let n(u) be the third derivative of u**9/15120 + u**8/6720 - 7*u**4/12 - 3*u**2. Let k(i) be the second derivative of n(i). Factor k(c).
c**3*(c + 1)
Let j(l) = 90*l + 1085. Let z be j(-12). Determine m so that -1/2*m**z + 0*m**2 + 0*m + 0 + 1/2*m**4 + 0*m**3 = 0.
0, 1
Let a(f) = -3*f**2 + 3*f + 6. Let b be (2/1 + -1)*-5. Let z(n) = -6*n**2 + 6*n + 12. Let k(t) = b*a(t) + 3*z(t). Solve k(w) = 0 for w.
-1, 2
Let g(r) be the first derivative of -242*r**5/5 + 253*r**4 - 382*r**3 + 92*r**2 - 8*r + 46. Determine n so that g(n) = 0.
1/11, 2
Let d(f) be the third derivative of -7*f**6/60 - f**5/5 + 5*f**4/4 - 2*f**3/3 - 52*f**2 - 5*f. Suppose d(q) = 0. What is q?
-2, 1/7, 1
Suppose 0 = -192*h + 198*h - 120. Suppose 2*s = 7*s - h. Factor 8/7*x**2 + 0*x**3 + 0*x - 4/7*x**s - 4/7.
-4*(x - 1)**2*(x + 1)**2/7
Suppose 15*c - 14*c = 29*c. What is b in -3/5*b**5 - 18/5*b**4 - 9/5*b - 6*b**2 - 36/5*b**3 + c = 0?
-3, -1, 0
Let w(z) = z**3 - 9*z**2 + 3. Let o be w(9). Suppose -c = 3*c - 8. Factor -3*u**o + 4 - 4*u**2 + u - c*u - 4.
-u*(u + 1)*(3*u + 1)
Let w(z) be the third derivative of -z**7/525 + 13*z**5/150 + z**4/5 - 102*z**2. Suppose w(v) = 0. Calculate v.
-3, -1, 0, 4
Suppose 2*o - 103 = 69. Let m = o - 61. Let -6*l + 2*l + 25 - m - 14*l**2 = 0. Calculate l.
-2/7, 0
Let g(f) be the second derivative of f**7/63 - 2*f**5/15 + 2*f + 7. Factor g(u).
2*u**3*(u - 2)*(u + 2)/3
Let b(p) = 118*p**3 + 19783*p**2 + 933420*p + 265080. Let o(c) = -39*c**3 - 6594*c**2 - 311140*c - 88360. Let n(y) = -4*b(y) - 13*o(y). Factor n(i).
5*(i + 94)**2*(7*i + 2)
Suppose 4*q = -4*b, -1 = 5*b + q - 9. Let x = -24 - -33. Factor x*l + 18 - l - b*l + 6*l + 2*l**2.
2*(l + 3)**2
Let s(t) be the third derivative of 1/240*t**5 + 1/4*t**3 - 19*t**2 + 0 + 0*t + 5/96*t**4. Determine p, given that s(p) = 0.
-3, -2
Let p(z) = z**3 + 19*z**2 + 18*z. Let d(g) = -g**3 - 37*g**2 - 36*g. Let n(i) = -4*d(i) - 7*p(i). Factor n(b).
-3*b*(b - 6)*(b + 1)
Let j(a) be the first derivative of -20 + 2/15*a**5 + 0*a**3 - 1/3*a**4 + 0*a + 0*a**2. Let j(t) = 0. What is t?
0, 2
Let f(k) be the second derivative of 20*k - 5/4*k**4 - 6*k**2 + 0 + 6*k**3. Solve f(c) = 0.
2/5, 2
Let g(m) be the third derivative of -2*m**2 + 1/10*m**3 - 11/120*m**4 + 0 - 1/75*m**5 - 13*m. Factor g(s).
-(s + 3)*(4*s - 1)/5
Determine r, given that 3*r - r**3 + 3 - 3 + 1095*r**2 - 1097*r**2 = 0.
-3, 0, 1
Factor -34*i - 28*i - 5 + 73*i**2 + 2*i**2 - 8*i.
5*(i - 1)*(15*i + 1)
Let q(g) = g**4 - 9*g**3 - 6*g**2 + 20*g - 18. Let o(s) = -s**3 - s**2 - 2. Let r(k) = 12*o(k) - 4*q(k). Let r(a) = 0. Calculate a.
-2, 1, 6
Let q(y) = 3*y**2 - 11*y - 15. Let d be q(5). Suppose 3*a - 19 = -5*k - 0*a, d*k + 2*a = 16. Suppose -2/5*i**k + 16/5*i - 32/5 = 0. Calculate i.
4
Find r such that 178*r - 2*r**3 - 229*r - 150*r - 49*r**2 + r**3 + 625 - 374*r = 0.
-25, 1
Let i(d) be the first derivative of -3*d**4/4 - 26*d**3 + 3*d**2/2 + 78*d + 207. Suppose i(v) = 0. What is v?
-26, -1, 1
Let b(r) be the first derivative of -r**7/560 + r**6/240 - 2*r**3/3 + 19. Let o(x) be the third derivative of b(x). Factor o(v).
-3*v**2*(v - 1)/2
Factor 0 - 2/3*j**3 + 0*j + 0*j**2 - 1/3*j**4.
-j**3*(j + 2)/3
Suppose -i = -3*w + 15 - 5, 8 = -4*w - 4*i. Factor 24*j + 9 + 5 - 8 + 10 + 9*j**w + j**3.
(j + 1)*(j + 4)**2
Let u(d) = d**3 + 7*d**2 - 7*d + 11. Let s be u(-8). Solve i**5 + 0*i**s + 2*i**3 + 12*i**4 + i**5 - 16*i**4 = 0.
0, 1
Let q(l) be the second derivative of l**4/36 + 25*l**3/18 + 23*l**2/3 - 12*l - 1. Suppose q(v) = 0. Calculate v.
-23, -2
Let i(j) = j**3 - 8*j**2 + 5*j + 5. Let d be i(7). Let h(y) = -2*y - 1. Let b be h(d). Determine v, given that -5*v**2 - 5*v**4 - 7*v**4 + b*v**4 = 0.
-1, 0, 1
Let q(a) be the second derivative of 0 + 5/2*a**2 + 16*a - 5/12*a**4 + 0*a**3. Suppose q(c) = 0. What is c?
-1, 1
Find k such that 9*k**3 + 21/2*k**4 + 0 + 2*k**5 - 11/2*k**2 - 6*k = 0.
-4, -1, 0, 3/4
Find c, given that 12*c**2 + 0 - 15/2*c**3 - 6*c + 3/2*c**4 = 0.
0, 1, 2
Let h be (-23899)/(-4830) + 20/(-70). Let f = h - -1/230. Factor 4/3 + 6*p + f*p**2.
2*(p + 1)*(7*p + 2)/3
Let x(u) = u**4 - 16*u**3 + 10*u**2 + 30*u + 17. Let g(o) = o**3 - o**2 + o + 1. Let m(z) = 14*g(z) + 2*x(z). Factor m(w).
2*(w - 8)*(w - 3)*(w + 1)**2
Suppose -3*x = -18 + 9. Suppose -4*k + j = -5, k - x*j + 17 = 5*k. Find u, given that -u**4 - 1/2*u + 1/2*u**5 + u**k + 0 + 0*u**3 = 0.
-1, 0, 1
Let d(r) be the first derivative of -7*r**3/27 - 11*r**2/9 - 16*r/9 + 587. Suppose d(y) = 0. What is y?
-2, -8/7
Suppose -2*q = -0*q - 96. Let t be (q/(-40))/(1/(-10)). What is c in 5*c**2 - 2 - 5*c - 10 + t = 0?
0, 1
Suppose -51*z + 83 + 397 - 72 = 0. Factor -5 - 8/5*o**3 - 1/5*o**4 - 6/5*o**2 + z*o.
-(o - 1)**2*(o + 5)**2/5
Let c(t) be the first derivative of 3*t**6/4 + 3*t**5/5 - t**4 - t**3 - t**2/4 + 123. Find k such that c(k) = 0.
-1, -1/3, 0, 1
Let w(u) be the first derivative of -u**5/15 + u**4 + 20*u**3/3 + 32*u**2/3 - 368. Solve w(j) = 0.
-2, 0, 16
Let n(q) be the second derivative of 0 + 1/4*q**4 + 0*q**6 - 3/10*q**5 + 1/28*q**7 - 3/2*q**2 + 3/4*q**3 - 10*q. Factor n(w).
3*(w - 1)**3*(w + 1)*(w + 2)/2
Let n(q) be the second derivative of -1/48*q**4 + 0 + 1/4*q**2 + q - 1/24*q**3. Let n(b) = 0. Calculate b.
-2, 1
Suppose 2*y = 2*u - 24, -5*y = u + 14 + 22. Let z be 0/y + 1 + (-2)/2. Solve z + 1/4*b + 1/4*b**2 = 0.
-1, 0
Let t be (-20)/(-9) - (-34)/(-153). Let g(j) be the first derivative of -1/2*j - 1 - 1/6*j**3 + 1/2*j**t. Factor g(b).
-(b - 1)**2/2
Let z be 20/(-30)*-1*3. Let l(v) be the first