2 + 5*f**3 + 2*f**5 - 9*f**2 + 2*f - f**3 - 8*f - 6*f**4.
2*(f - 1)**4*(f + 1)
Let s = 883/6 + -1763/12. Factor 1/4*x**3 - s*x - 1/4*x**4 + 3/4*x**2 - 1/2.
-(x - 2)*(x - 1)*(x + 1)**2/4
Let x(m) be the first derivative of 2*m**5/5 - 15*m**4/8 - 40*m**3/3 - 75*m**2/4 - 7*m + 485. Solve x(k) = 0.
-2, -1, -1/4, 7
Suppose 5 = -j + 12. Find k such that -3*k + 9*k**4 + 0*k + 2 - 4*k - 11*k**2 + j*k**3 = 0.
-1, 2/9, 1
Let m = 10315 - 41253/4. Determine r so that 1/4*r**2 + m*r + 3/2 = 0.
-6, -1
Let i(g) be the third derivative of -g**8/2240 + g**7/280 - g**6/80 + g**5/40 + g**4/6 - 3*g**2. Let z(l) be the second derivative of i(l). Factor z(u).
-3*(u - 1)**3
Factor 13/3*y**2 + 12 - 1/3*y**3 - 40/3*y.
-(y - 9)*(y - 2)**2/3
Let z(f) = -6*f + 224. Let p be z(37). Let 7/5*y**p + 2/5*y + 6/5*y**3 + 0 = 0. What is y?
-2/3, -1/2, 0
Suppose -162/13*f + 108/13 + 90/13*f**2 - 22/13*f**3 + 2/13*f**4 = 0. Calculate f.
2, 3
Let y = 10684 + -138890/13. Suppose 6/13 + 10/13*u + 2/13*u**2 - y*u**3 = 0. Calculate u.
-1, 3
Let g(s) be the third derivative of -29*s**2 + 0*s - 1/8*s**4 + 1/40*s**6 - 1/70*s**7 + 3/20*s**5 - s**3 + 0. Factor g(p).
-3*(p - 2)*(p - 1)*(p + 1)**2
Let s(h) be the first derivative of h**3/3 + 9*h**2/2 + 8*h - 102. Factor s(o).
(o + 1)*(o + 8)
Let i(g) be the second derivative of -g**4/3 + 64*g**3/3 - 512*g**2 + 4*g. Factor i(k).
-4*(k - 16)**2
Factor 2/7*q**4 + 30/7*q**2 + 2*q**3 + 18/7*q + 0.
2*q*(q + 1)*(q + 3)**2/7
Let i(g) be the third derivative of -5*g**8/336 - 13*g**7/42 - 23*g**6/24 - 11*g**5/12 + 139*g**2. Solve i(p) = 0.
-11, -1, 0
Let n be 2/(-7) - 7004/35. Let l = n + 201. What is d in -6/5*d + l*d**2 + 3/5 = 0?
1
Let k(f) = 6*f**2 + 6*f. Let l(o) be the third derivative of 13*o**5/60 + o**4/2 - o**3/6 - 9*o**2. Let r = 6 - 2. Let x(t) = r*l(t) - 9*k(t). Factor x(u).
-2*(u + 1)*(u + 2)
Let p = 2/17735 + 248256/301495. Let -50/17 - 92/17*y**2 + p*y**4 - 4/17*y**3 + 130/17*y + 2/17*y**5 = 0. What is y?
-5, 1
Let r(x) be the first derivative of -x**7/350 + x**6/200 + x**5/50 - 13*x**2/2 - 9. Let p(q) be the second derivative of r(q). Factor p(z).
-3*z**2*(z - 2)*(z + 1)/5
Let m(v) be the first derivative of 2/15*v**3 + 98/5*v - 14/5*v**2 - 3. Factor m(l).
2*(l - 7)**2/5
What is i in -20*i**2 + 28*i**3 - 20*i**3 - 324 - 4*i**2 - 10*i**3 + 198*i = 0?
-18, 3
Factor -3260 + 121*d + 40*d**3 - 3*d**4 + 7*d**4 + 760 - 1121*d.
4*(d - 5)*(d + 5)**3
Let o(w) = 13*w**2 + 13*w + 6. Let j(l) = 70*l**2 + 66*l + 30. Let r(h) = -2*j(h) + 11*o(h). Factor r(k).
(k + 3)*(3*k + 2)
Let o(x) be the second derivative of x**4/48 - 17*x**3/24 - 9*x**2/4 - 128*x. Find h, given that o(h) = 0.
-1, 18
Let a(f) be the second derivative of f**9/5040 - 3*f**8/2240 + f**7/420 + f**4/2 - 7*f. Let h(n) be the third derivative of a(n). Solve h(d) = 0.
0, 1, 2
Let p = 3 - 1. Determine y, given that -4*y**p - 6*y - 5*y**2 + 11*y**2 = 0.
0, 3
Let w(b) be the second derivative of 1/2*b**2 + 2/9*b**3 + 1/36*b**4 + 16*b + 0. Let w(i) = 0. Calculate i.
-3, -1
Let g(u) be the first derivative of 72/5*u - 12/5*u**2 - 2 + 2/15*u**3. Let g(l) = 0. Calculate l.
6
Let v(q) = -q**3 - 14*q**2 + 14*q - 11. Let o be v(-15). Find c such that -o*c**2 + 5 - 12*c**5 - 12*c**4 + 12 - 48*c - 8*c**5 + 68*c**3 - 1 = 0.
-2, -1, 2/5, 1
Determine x so that 56*x - 25*x - 30 - 34*x - 3*x**2 - 30*x = 0.
-10, -1
Let p(o) = o**5 - 3*o**4 - 4*o**3 + 9*o**2 - o - 1. Let z(x) = x**4 - x**2 + x + 1. Let k(d) = -3*p(d) - 3*z(d). Suppose k(l) = 0. Calculate l.
-2, 0, 2
Let t(w) be the first derivative of 50*w**2 + 13 + 1/3*w**4 + 5*w - 20/3*w**3. Let g(p) be the first derivative of t(p). Factor g(h).
4*(h - 5)**2
Let x(w) be the second derivative of 1/14*w**7 + 0 + 3/4*w**4 + 0*w**2 - 2*w + 3/20*w**5 - w**3 - 3/10*w**6. Suppose x(g) = 0. Calculate g.
-1, 0, 1, 2
Let u(d) be the third derivative of 0 + 1/1155*d**7 + 10*d**2 + 0*d**5 + 0*d - 1/330*d**6 + 1/66*d**4 - 1/33*d**3. Determine q, given that u(q) = 0.
-1, 1
Let b = -8235 + 8235. Factor b + 2/15*w - 2/15*w**2.
-2*w*(w - 1)/15
Let d = -1/1179 + 5503/1179. Determine t so that 2/3*t**4 + 8/3 + 10*t**2 + d*t**3 + 26/3*t = 0.
-4, -1
Let z(p) be the second derivative of -5*p**7/42 + p**6/2 + p**5/2 - 5*p**4/2 - 5*p**3/6 + 15*p**2/2 - p - 42. Find k such that z(k) = 0.
-1, 1, 3
Determine b so that -25*b**3 - 14*b**2 - 4*b**4 + 37*b**3 + 8*b - 24*b**3 + 4*b**5 + 18*b**2 = 0.
-1, 0, 1, 2
Let i be (20/6)/(966/414). Find p such that i*p + 12/7 + 2/7*p**2 = 0.
-3, -2
Let d(i) = -2*i**2 + 20*i + 57. Let a(h) = -25*h**2 + 240*h + 685. Let r(o) = -3*a(o) + 35*d(o). Factor r(z).
5*(z - 6)*(z + 2)
Let t(g) = 25*g**3 - 140*g**2 - 15*g + 120. Let q(c) = 8*c**3 - 46*c**2 - 5*c + 40. Let j(n) = 10*q(n) - 3*t(n). What is s in j(s) = 0?
-1, 1, 8
Let r(v) be the third derivative of -v**8/1176 + v**7/147 + v**6/70 - 45*v**2 + 3*v. Let r(m) = 0. Calculate m.
-1, 0, 6
Let q(c) = -2*c - 2. Let x be q(-5). Let g be (x/(-12))/(3/(-18)). Factor a**3 + 4*a**3 - 3*a**3 - 4*a**2 + 3*a**4 - a**g.
2*a**2*(a - 1)*(a + 2)
Let k(f) = f**2 + 130*f - 675. Let n be k(5). Factor 0*b**2 + 1/3*b**4 + n*b + 0 - 5/3*b**3.
b**3*(b - 5)/3
Let j(z) be the second derivative of z**6/45 - 2*z**5/15 - 8*z**4/3 + 320*z**3/9 - 512*z**2/3 + 3*z + 70. Factor j(s).
2*(s - 4)**3*(s + 8)/3
Let y = 519/13600 + 1/544. Let a(v) be the second derivative of -2*v + 0*v**3 - 1/5*v**2 + 0 + y*v**6 + 1/5*v**4 + 4/25*v**5. Solve a(z) = 0.
-1, 1/3
Let t be 5*(-6)/165 + (-105)/(-33). Let -2/3*u**5 - 2/3*u**2 + 0 - 2*u**t + 0*u - 2*u**4 = 0. What is u?
-1, 0
Let d(y) be the third derivative of y**9/15120 - y**8/1008 + y**7/420 + y**6/20 - 7*y**5/60 - 8*y**2. Let w(v) be the third derivative of d(v). Factor w(f).
4*(f - 3)**2*(f + 1)
Let q(l) be the first derivative of 5/96*l**6 - 4 + 1/48*l**5 + 1/6*l**3 + 0*l - 1/6*l**4 - 6*l**2. Let m(x) be the second derivative of q(x). Factor m(p).
(p + 1)*(5*p - 2)**2/4
Suppose 129 = u + 171. Let k be -2 - (4/(-6) + 80/u). Determine o so that 0 - 2/7*o**3 - k*o**2 + 0*o = 0.
-2, 0
Suppose -6 = 4*c + 6. Let m(z) = z**2 - 2*z - 15. Let p be m(c). Suppose 2/7*r + 0 - 4/7*r**4 - 2/7*r**5 + p*r**3 + 4/7*r**2 = 0. What is r?
-1, 0, 1
Suppose -2*w + 2 + 8 = 0. Suppose -25 = -5*u + w*j, 2*u - 3*j - 18 = -7. Factor -2 + d**3 + u*d + 2 - 3*d**2 - 2*d.
d*(d - 2)*(d - 1)
Solve -10 - 42*j**3 - 79*j**2 - 50*j + 12*j**4 + 8 + 17*j**3 - 6 = 0.
-1, -2/3, -1/4, 4
Let t = 1/418 - -207/836. Let w(v) be the second derivative of 0 + 1/28*v**7 - 9*v + 0*v**6 + t*v**3 + 0*v**4 + 0*v**2 - 3/20*v**5. Factor w(s).
3*s*(s - 1)**2*(s + 1)**2/2
Let r(i) = -15*i**3 - 120*i**2 + 40*i + 95. Let x = -30 - -27. Let d(b) = -2*b**3 - 15*b**2 + 5*b + 12. Let q(f) = x*r(f) + 25*d(f). Let q(o) = 0. What is o?
-3, -1, 1
Let i(g) = 15*g - 581. Let q be i(39). Find r such that 66*r**3 + 0*r - 21*r**5 - 111/2*r**2 + 6 + 9/2*r**q = 0.
-2, -2/7, 1/2, 1
Let v(k) be the second derivative of -1/84*k**4 - 1/14*k**3 - k - 1/7*k**2 + 0. Factor v(n).
-(n + 1)*(n + 2)/7
Factor -6/5*n - 4 + 2/5*n**2.
2*(n - 5)*(n + 2)/5
Let f be (12/10)/(117/260). Let h = f - -11/6. Determine u so that -3*u + 0 + h*u**2 - 3/2*u**4 + 0*u**3 = 0.
-2, 0, 1
Let t(o) be the first derivative of o**6/6 + 9*o**5/2 + 217*o**4/8 - 68*o**3 + 36*o**2 - 21. Solve t(p) = 0.
-12, 0, 1/2, 1
Factor -4*r + 9*r**2 - 31*r**2 - 200 + 114*r + r**3 + 30*r.
(r - 10)**2*(r - 2)
Let o = 401 + -398. Factor 0 - 2/3*u + 1/3*u**2 + 2/3*u**o - 1/3*u**4.
-u*(u - 2)*(u - 1)*(u + 1)/3
What is u in 0*u**2 + 6*u**2 - 2*u**4 + 44*u - 19 - 8 - 16*u**3 - 5 = 0?
-8, -2, 1
Let w = 36 - 36. Let z(f) be the second derivative of 5*f + 1/16*f**4 + w - 1/120*f**6 - 1/6*f**3 + 1/40*f**5 - 1/2*f**2. Solve z(x) = 0 for x.
-1, 2
Let g(f) = 6*f**4 - 36*f**3 - 114*f**2 - 114*f - 36. Let q(k) = k**5 + k. Let d(o) = g(o) + 3*q(o). Factor d(r).
3*(r - 4)*(r + 1)**3*(r + 3)
Let u(f) be the second derivative of f**8/16800 - f**6/1800 + f**4/240 - 2*f**3/3 + 8*f. Let y(i) be the second derivative of u(i). Find h, given that y(h) = 0.
-1, 1
Let x(b) be the third derivative of -b**8/2352 - b**7/294 - 8*b**2 + 3*b. Solve x(k) = 0.
-5, 0
Let t(c) = c**3 + c**2 - c + 10. Let k be t(0). Let -10*y**2 + 0*y**3 - k*y - 15*y**3 - 23*y**2 + 8*y**2 = 0. What is y?
-1, -2/3, 0
Suppose -6*v + 400 = 5*s - 2*v, 0 = 4*s - 5*v