+ 4*f**5 - 1596*f**2 - 13769*f**3 - 1604*f**4.
4*f**2*(f - 399)*(f - 1)**2
Let z = 202 - 189. Suppose -z*p - 4*p**3 + 4*p + 8*p**2 + 5*p = 0. Calculate p.
0, 1
Let s(i) = -9*i**2 - 10*i + 11. Let y(u) = -4*u + 102. Let a be y(24). Let x(o) = -5*o**2 - 6*o + 6. Let k(g) = a*s(g) - 11*x(g). Solve k(q) = 0.
-6, 0
Let u(f) be the second derivative of -4*f**2 - 1/3*f**4 + 0 + 1/60*f**5 + 233*f + 35/18*f**3. Suppose u(o) = 0. Calculate o.
1, 3, 8
Find u, given that -u**4 + 0*u + 0 - 15*u**2 + 49/3*u**3 - 1/3*u**5 = 0.
-9, 0, 1, 5
Suppose t - 285 - 50 = -a, -4*a + 4*t + 1372 = 0. Let z = -331 + a. Factor 22/9*v**2 - z - 16/3*v - 2/9*v**3.
-2*(v - 6)**2*(v + 1)/9
Let l(g) be the third derivative of -22*g - 1/448*g**8 + 3/160*g**6 + 1/280*g**7 + 0 - 1/80*g**5 + 0*g**3 + g**2 - 1/16*g**4. Solve l(z) = 0 for z.
-1, 0, 1, 2
Let a(x) = 14*x**4 - 1825*x**3 + 10164*x**2 - 8243*x - 11. Let w(c) = 3*c**4 - 365*c**3 + 2033*c**2 - 1651*c - 2. Let b(z) = -2*a(z) + 11*w(z). Factor b(o).
5*o*(o - 67)*(o - 5)*(o - 1)
Let f(d) = d**4 - 2*d**2 - 1. Let n(v) = -23*v**4 - 29*v**3 + 28*v**2 + 21. Let u(t) = -42*f(t) - 2*n(t). Factor u(k).
2*k**2*(k + 14)*(2*k + 1)
Let w(u) be the first derivative of -85 - 1/5*u**5 + 3*u - 2*u**2 + u**4 - 2/3*u**3. Factor w(z).
-(z - 3)*(z - 1)**2*(z + 1)
Let p be (-25)/4 - 3300/(-400). Determine o, given that -552/5*o**p + 162/5 + 411/5*o - 21/5*o**3 = 0.
-27, -2/7, 1
Let m(y) be the first derivative of -1/4*y**2 + 46 + 1/18*y**3 + 1/3*y. Find n such that m(n) = 0.
1, 2
Let g = 425239/3 + -141746. Suppose -7/3*o - 2 - g*o**2 = 0. What is o?
-6, -1
Suppose 10 = 32*m + 3402. Let j be (-686)/12*m/371. Determine w so that -2/3 + 4*w**5 + 41/3*w**4 + j*w**3 + 7*w**2 - 1/3*w = 0.
-1, -2/3, 1/4
Let p(r) = 23*r - 1896 - r**2 + 1896 + 0*r**2. Let f(u) = -24*u. Let l(z) = 3*f(z) + 4*p(z). Factor l(w).
-4*w*(w - 5)
Let k = 75717 - 75715. Factor -w - 1/10*w**k - 5/2.
-(w + 5)**2/10
Let v(z) = 2*z**3 + 10*z**2 + 10*z + 11. Let x be v(-4). Suppose -7 - x = -5*u. What is k in -14/5*k**4 - 36/5*k**3 - 44/5*k**u - 26/5*k - 6/5 - 2/5*k**5 = 0?
-3, -1
Factor 5*l**2 + l**2 - 273*l - 57 - 47*l - 51 + 6*l**2.
4*(l - 27)*(3*l + 1)
Let r be 15*(-1)/(10/(-6)). Factor -r*a + 36*a + 12 + 24*a + 12*a**2.
3*(a + 4)*(4*a + 1)
Let c(h) be the second derivative of h**4/9 + 32*h**3 - 584*h**2/3 - 3714*h + 2. Factor c(q).
4*(q - 2)*(q + 146)/3
Let k = -177/10 + 44953/2540. Let j = 379/1016 - k. Factor 0 + j*a + 9*a**3 - 6*a**4 - 27/8*a**2.
-3*a*(a - 1)*(4*a - 1)**2/8
Let j be (361/(-13))/(105/(-840)). Let j + 152/13*f + 2/13*f**2 = 0. Calculate f.
-38
Let o(k) = -42*k**3 - 1833*k**2 - 3621*k - 1821. Let u(f) = 19*f**3 + 916*f**2 + 1811*f + 910. Let j(y) = -4*o(y) - 9*u(y). Factor j(l).
-3*(l + 1)**2*(l + 302)
Let m be (4 + 16/(-4))/((-4)/1). Suppose -3*t = -m*t - 6. Factor 12 + 28 - 24*z**2 - z**t - 90*z.
-5*(z + 4)*(5*z - 2)
Let g(i) be the second derivative of -98*i**6/25 + 8386*i**5/5 - 9959*i**4/15 - 9128*i**3/15 + 456*i**2 - 102*i - 4. Determine x, given that g(x) = 0.
-1/3, 2/7, 285
Let d(f) = -f**4 + 6*f**3 - f + 1. Let w(i) = -249*i**4 - 3006*i**3 + 120*i**2 + 1409*i - 385. Let n(y) = -2*d(y) - 2*w(y). Determine k so that n(k) = 0.
-12, -4/5, 2/5
Solve 2*u**2 + 1117*u - 156 - 702*u**3 - 23*u**2 - 565*u + 27*u**4 = 0 for u.
-1, 1/3, 2/3, 26
Factor -7*y**3 + 18*y**3 + 1524*y - 1103 + 339 - 3*y**3 + 963*y**2 - 3*y**3.
(y + 2)*(y + 191)*(5*y - 2)
Let g(l) = 7*l**2 + 6585*l + 5412315. Let x(j) = 6*j**2 + 6584*j + 5412262. Let p(v) = -4*g(v) + 5*x(v). Factor p(y).
2*(y + 1645)**2
Let a(u) be the first derivative of -u**5/5 + 3*u**4/2 + 9*u**3 - 2376. Factor a(v).
-v**2*(v - 9)*(v + 3)
Determine l so that -72/17*l**2 + 70/17 - 4/17*l + 2/17*l**4 + 4/17*l**3 = 0.
-7, -1, 1, 5
Suppose -2*p - t - 4*t = -20, -4*p + 22 = t. Suppose 6 = p*j - 4*w, 2*w = -j - 0 + 4. What is k in 24*k**4 - 6*k**2 - 11*k**4 + 4*k**j - 11*k**4 = 0?
-1, 0, 1
Find l, given that -3*l**2 - 1/3*l**3 + 16*l + 448/3 = 0.
-8, 7
Let i(g) be the second derivative of g**4/60 + g**3/30 - 3*g**2 + 2071*g. Factor i(d).
(d - 5)*(d + 6)/5
Let l(p) be the third derivative of -3*p**2 + 0*p**3 + 1/6*p**4 - 1/120*p**6 + 0*p**5 + 2*p + 0. Factor l(h).
-h*(h - 2)*(h + 2)
Let n(a) be the first derivative of -a**6/240 + a**5/60 + 9*a**2 + 2*a + 44. Let u(x) be the second derivative of n(x). Determine j, given that u(j) = 0.
0, 2
Let c(q) = 15*q**2 - 505*q - 4320. Let r(p) = 2*p**2 - p. Let z(t) = -c(t) + 5*r(t). Factor z(d).
-5*(d - 108)*(d + 8)
Let a = -3286 + 3294. Let m(i) be the first derivative of 15/4*i - 1/4*i**3 - 3/2*i**2 - a. Factor m(y).
-3*(y - 1)*(y + 5)/4
Let s = 1545 - 1554. Let d be 10 + (468/16)/s. Suppose -w**2 + w + 0 - 13/2*w**4 - 7/4*w**5 - d*w**3 = 0. Calculate w.
-2, -1, 0, 2/7
Suppose -6*a = 6*a - 24. Factor -9*d - 18*d**a - 12*d**3 + 245 - 248 - 3*d - 3*d**4.
-3*(d + 1)**4
Let -10*x**3 - 54*x - 243/2 + 1/2*x**4 + 57*x**2 = 0. Calculate x.
-1, 3, 9
Let r be (-34)/(-51) - 5/((-75)/(-136)). Let k = -36/5 - r. Find b, given that -k - 1/5*b**2 - b = 0.
-3, -2
Let g(d) be the first derivative of -d**4/21 + 2*d**3/7 + 61*d + 73. Let q(v) be the first derivative of g(v). Find z such that q(z) = 0.
0, 3
Let f(d) = -137*d + 38. Let j be f(-8). Let c be (-16)/2 + j/135. Factor 6/5 - c*t**2 - 1/5*t**3 + t.
-(t - 2)*(t + 1)*(t + 3)/5
What is b in -16 - 141*b**2 + 44*b**2 - 6*b + 48*b**2 - b**3 + 58*b**2 + 0*b**3 = 0?
-1, 2, 8
Let x(z) be the second derivative of -z**4/3 - 4*z**3/3 - 6*z**2 + 18*z - 2. Let y(a) = -a**2 - 2*a - 4. Let d(i) = 3*x(i) - 8*y(i). Factor d(h).
-4*(h + 1)**2
Factor 63075 + 3/4*o**2 - 435*o.
3*(o - 290)**2/4
Suppose 4*z - 203 = 3*h, -3*h + 156 = 3*z - 4*h. Suppose -22*q + z*q = 19*q. Factor 0 + 0*n + q*n**2 - 2/5*n**4 - 2/5*n**3.
-2*n**3*(n + 1)/5
Let g(i) be the third derivative of -i**5/15 + 226*i**4 - 306456*i**3 + 4050*i**2. Solve g(k) = 0 for k.
678
Let f be 3770/3016 + (-21)/36. Factor 2/5*g + f*g**2 - 4/15*g**3 + 0.
-2*g*(g - 3)*(2*g + 1)/15
Let b(i) be the first derivative of -i**6/150 + 7*i**5/100 + 2*i**4/15 - 123*i + 3. Let k(d) be the first derivative of b(d). Let k(t) = 0. Calculate t.
-1, 0, 8
Let z(h) be the first derivative of -7/6*h**3 - 9/4*h**2 - 1/40*h**5 - 9/32*h**4 + 104 - 2*h. Determine w, given that z(w) = 0.
-4, -2, -1
Let k = -36 - -54. Let w(s) = -s + 19. Let i be w(k). Factor 7*c**2 - 10*c**2 + 2 - i + 2.
-3*(c - 1)*(c + 1)
Let s(h) = -4*h**3 - 96*h**2 - 336*h - 576. Let f = 467 + -475. Let c(p) = -4*p**2. Let m(y) = f*c(y) + s(y). Factor m(g).
-4*(g + 4)*(g + 6)**2
Determine d, given that 10*d + 2*d**4 + 3*d**3 + 120 - 201*d**2 + 175*d**2 + 5*d**3 - 66*d = 0.
-5, -3, 2
Factor 7/2*m + 0 + 1/2*m**4 - 1/2*m**2 - 7/2*m**3.
m*(m - 7)*(m - 1)*(m + 1)/2
Let a(w) be the third derivative of w**6/180 - 31*w**5/90 + 73*w**4/12 - 21*w**3 - 2*w**2 + 2*w + 3008. What is d in a(d) = 0?
1, 9, 21
Let t(g) be the first derivative of -3/16*g**4 + 9/2*g + 73 + 0*g**3 + 21/8*g**2. Suppose t(p) = 0. Calculate p.
-2, -1, 3
Let t(x) be the third derivative of x**6/120 - x**5/8 + x**4/2 - 26*x**3/3 + 5*x**2 + 3*x. Let n(g) be the first derivative of t(g). Let n(q) = 0. Calculate q.
1, 4
Suppose -38*j + 15125 = 15049. Suppose -4*w - 4*v = -3*v + 5, -2*v - 10 = 3*w. Factor 56/3*z**j + 98/3*z**3 + 8/3*z + w.
2*z*(7*z + 2)**2/3
Let i = 50 + -46. Suppose 5*t - 3*v - 28 - 22 = 0, -5*t - i*v = -50. Factor -130*j**4 + t*j + 9*j**2 + 6*j**2 + 125*j**4.
-5*j*(j - 2)*(j + 1)**2
Let l(k) = 3*k - 34. Let q(s) = -2*s + 33. Let y(f) = 5*l(f) + 6*q(f). Let d be y(-8). Factor -25*j + 37*j + 24*j - d*j**2.
-4*j*(j - 9)
Let k(g) be the first derivative of -g**5 + 115*g**4/4 - 715*g**3/3 + 605*g**2/2 + 216. Find h such that k(h) = 0.
0, 1, 11
Let b(w) be the first derivative of -5/3*w**3 + 2 + 1/160*w**5 + 0*w**2 + 0*w - 1/1440*w**6 + 0*w**4. Let k(n) be the third derivative of b(n). Factor k(r).
-r*(r - 3)/4
Let u = 21262/3 - 6713. Let d = -374 + u. Let 7/6*c**2 + d*c**3 + 1/3 + 7/6*c = 0. Calculate c.
-2, -1, -1/2
Let j(r) = -694*r**2 - 20 + 16*r + 692*r**2 + 26. Let v(p) = -2*p**2 + 14*p + 8. Let q(h) = 4*j(h) - 3*v(h). Suppose q(u) = 0. What is u?
0, 11
Factor -405 - 63845/4*a**2 - 5085*a.
-5*(113*a + 18)**2/4
Let i(a) be the third derivative of 0*a - 1/40*a**6 - 2 - 1/2*a**4 - 1/4*a**5 + 32