 be the second derivative of k**6/120 - k**5/40 + k**3/12 - k**2/8 + 46*k. Factor p(q).
(q - 1)**3*(q + 1)/4
Suppose -4*n + 3*r = -215, 5*n + 3*r - 245 = 2*r. Factor 52*c**3 - n*c**3 - c**5 + 0*c - c.
-c*(c - 1)**2*(c + 1)**2
Let n(w) = 2*w**2 - 3*w + 4. Let j be n(2). Suppose 4*c - 12 = -4*t, -2*t + 4*c = -0 + j. Determine d, given that -t - d**2 + d**2 + 3 - 2*d**2 = 0.
-1, 1
Let z(h) be the third derivative of h**6/840 - h**5/210 + h**4/168 - 270*h**2. Factor z(o).
o*(o - 1)**2/7
Let x be (198/(-136) + (-21)/(-14))/(3/8). Determine f, given that -x*f**3 + 2/17*f**2 - 8/17 + 8/17*f = 0.
-2, 1, 2
Let z be 3/30*((-377)/(-52) + -6). Factor 0*v + 0 - z*v**2 + 1/8*v**3.
v**2*(v - 1)/8
Let d(h) be the third derivative of 0*h + 1/72*h**4 + 0 + 1/180*h**5 - 10*h**2 - 1/9*h**3. Solve d(t) = 0 for t.
-2, 1
Let k = -96 - -116. Factor -k*u**3 - 5*u**4 - 7*u + 51*u**2 + 4*u**2 - 23*u.
-5*u*(u - 1)**2*(u + 6)
Let u = -197/114 - -36/19. Determine p, given that 0*p + u*p**5 - 1/2*p**4 - 1/6*p**2 + 0 + 1/2*p**3 = 0.
0, 1
Let d be -6 - ((-52)/6)/(6 + (10 - 15)). Find g, given that 148/3*g**2 - d*g + 42*g**5 - 16/3 - 118/3*g**3 - 44*g**4 = 0.
-1, -2/7, 2/3, 1
Let j(r) be the first derivative of r**4/22 + 16*r**3/11 + 144*r**2/11 + 49. Factor j(h).
2*h*(h + 12)**2/11
Let l(v) = -4*v**4 - 72*v**3 - 61*v**2 - 7. Let h(t) = -4*t**4 - 72*t**3 - 62*t**2 - 6. Let d(n) = 7*h(n) - 6*l(n). Find k such that d(k) = 0.
-17, -1, 0
Let p = 17 - 15. Let h(c) be the first derivative of 2/35*c**5 + 2/21*c**3 - 1/7*c**4 + 0*c + 5 + 0*c**p. Let h(o) = 0. Calculate o.
0, 1
Factor i**2 - 18796*i**4 + 18797*i**4 - 6*i**3 + 12*i + 4*i**2.
i*(i - 4)*(i - 3)*(i + 1)
Let h(l) be the first derivative of 0*l + 3/8*l**2 + 1/4*l**3 - 1. Factor h(q).
3*q*(q + 1)/4
Solve 0 - 4/7*g**2 - 4/7*g**3 + 4/7*g**4 + 4/7*g = 0.
-1, 0, 1
Let k = 2 - 2. Let m(u) = -323*u - 2259. Let b be m(-7). Solve -15/2*p**3 + 9/2*p**5 + 0*p + k - 6*p**4 + 3*p**b = 0 for p.
-1, 0, 1/3, 2
Factor -4*o - 6*o**3 + 3*o**3 - 12*o**2 + 12 + o**3 + 6*o.
-2*(o - 1)*(o + 1)*(o + 6)
Let r(d) = d**3 + 21*d**2 - 3*d - 1. Let l(o) = 3*o**3 + 60*o**2 - 10*o - 2. Let v(y) = 6*l(y) - 17*r(y). Find h, given that v(h) = 0.
-5, 1
Let w = -82858/15 - -5524. Factor 8/15 + w*u**3 - 14/15*u + 4/15*u**2.
2*(u - 1)**2*(u + 4)/15
Let a(j) = 35*j + 14. Let f be a(-2). Let q be ((-4)/(-14))/((-20)/f). Factor -q - g - 1/5*g**2.
-(g + 1)*(g + 4)/5
Let o(w) be the third derivative of w**8/168 - w**6/60 + w**2 - 114*w. Factor o(i).
2*i**3*(i - 1)*(i + 1)
Let j(w) be the third derivative of 11/12*w**4 - 121/6*w**3 + 0 - 34*w**2 - 1/60*w**5 + 0*w. Factor j(h).
-(h - 11)**2
Suppose -h + 5 = -4*y, -9*y = -7*y. Let l(x) be the second derivative of -h*x - 1/6*x**4 + 0 - 4*x**2 - 5/3*x**3. Solve l(a) = 0 for a.
-4, -1
Let u be 0 + 1 - (2 + 0/7). Let z be (u/6)/(5/(-20)). Factor -2/3*h**2 + 0 + z*h.
-2*h*(h - 1)/3
Let c(g) be the first derivative of -6*g + g**3 + 3/5*g**5 + 11 - 9/2*g**2 + 9/4*g**4. Solve c(m) = 0.
-2, -1, 1
Let b(o) be the third derivative of o**6/1080 - o**5/72 - o**4/12 + 5*o**3/3 + 8*o**2. Let k(c) be the first derivative of b(c). Factor k(h).
(h - 6)*(h + 1)/3
Let t(o) be the third derivative of -o**7/4095 - o**6/312 + o**5/195 + 3*o**4/4 + 17*o**2. Let a(h) be the second derivative of t(h). Factor a(g).
-2*(g + 4)*(4*g - 1)/13
Let h(y) = y**3 - 7*y**2 - 6*y - 6. Let i be h(8). Let p = -5 + i. Solve 2*q**3 - 11*q**2 + 3 + 15*q**4 + 7*q - 3*q**2 - 3*q**5 - 6*q**p - 4 = 0.
-1, 1/3, 1
Let g(r) be the third derivative of 0*r - 1/420*r**7 + 0 + 1/120*r**6 - 1/120*r**5 + 0*r**4 + 3*r**2 + 0*r**3. Find u, given that g(u) = 0.
0, 1
Let k be ((-48)/(-20) + -3)/(-6). Let u(m) be the first derivative of -1/2*m**3 - 3 + 0*m**2 + 0*m - k*m**5 - 1/2*m**4. Find z such that u(z) = 0.
-3, -1, 0
Suppose 14*v + 5*f + 11 = 17*v, -5*f + 5 = 5*v. Factor 2/5 + 3*s + 7/5*s**v.
(s + 2)*(7*s + 1)/5
Let x(v) be the first derivative of -3*v**4/4 - 13*v**3/3 - 13*v**2/2 - 3*v + 137. Factor x(t).
-(t + 1)*(t + 3)*(3*t + 1)
Let v(q) be the first derivative of -2/3*q**3 - 17 + 16*q + 2*q**2. Factor v(d).
-2*(d - 4)*(d + 2)
Let n(a) = a**3 + 4*a**2 + 3*a + 3. Let l be (-228)/(-18) + (-6)/9. Let j(f) = f**2 + f + 1. Let w(z) = l*j(z) - 4*n(z). Factor w(r).
-4*r**2*(r + 1)
Let t(j) be the first derivative of 5*j**3/27 - 23*j**2/18 - 28*j/9 + 279. Suppose t(m) = 0. Calculate m.
-1, 28/5
Let f(q) be the first derivative of -3 + 0*q**3 - 1/14*q**4 + 12/7*q + q**2. Factor f(n).
-2*(n - 3)*(n + 1)*(n + 2)/7
Let l(a) be the first derivative of a**3 - 24*a**2 + 192*a - 601. Factor l(y).
3*(y - 8)**2
Solve -2/5*d**2 - 23328/5 + 432/5*d = 0 for d.
108
Let i(k) be the first derivative of k**6/15 + 19*k**5/25 + 12*k**4/5 - 13*k**3/15 - 52*k**2/5 + 48*k/5 + 35. Determine f, given that i(f) = 0.
-4, -3, 1/2, 1
Let a = -19 - -39/2. Let s(p) be the first derivative of -1/8*p**4 + 1/10*p**5 + p - a*p**3 - 1 + 1/4*p**2. Solve s(w) = 0 for w.
-1, 1, 2
Let l(g) be the first derivative of -g**4/8 - g**3 - 9*g**2/4 + 31. Factor l(r).
-r*(r + 3)**2/2
Let t = 549 + -3839/7. Factor 0 + 6/7*k**2 + 2/7*k**3 + t*k.
2*k*(k + 1)*(k + 2)/7
Let q(i) be the first derivative of 128/5*i**5 + 25 - 104*i**4 - 135*i**2 + 54*i + 168*i**3. Determine s, given that q(s) = 0.
3/4, 1
Let r(u) be the first derivative of u**3 - 3*u**2/4 - 3*u/2 - 79. Factor r(i).
3*(i - 1)*(2*i + 1)/2
Let x(g) be the third derivative of g**8/3360 - g**7/1050 + g**5/300 - g**4/240 + 2*g**2 + 62. Solve x(j) = 0.
-1, 0, 1
Let c be ((-230)/(-69))/(2/3). Suppose 5*n + 0*n = -4*t + 8, c = 2*n + t. Factor 19*v**3 + 51*v**3 + 22*v + 6*v + 25*v**4 + 32*v**2 + 37*v**2 + n.
(v + 1)**2*(5*v + 2)**2
Let h(g) be the third derivative of 0*g + 1/95*g**5 - 6*g**2 + 0*g**3 - 1/228*g**4 + 0. Determine y, given that h(y) = 0.
0, 1/6
Let m(t) = t**2 + 36*t + 35. Let s be m(-1). Factor s - 2/5*c**2 - 12/5*c.
-2*c*(c + 6)/5
Let k be (-3)/4 + 459/68. Let 11*x - 24 - 16*x**2 - x**3 - 39*x + k*x**2 = 0. Calculate x.
-6, -2
Let l(u) be the first derivative of u**6/6 - 3*u**5/4 + 5*u**4/12 + 5*u**3/2 - 5*u**2 - 9*u + 15. Let t(w) be the first derivative of l(w). Factor t(d).
5*(d - 2)*(d - 1)**2*(d + 1)
Let k = -13185 + 13187. Suppose -k*a - 2/5*a**3 - 4/5 - 8/5*a**2 = 0. What is a?
-2, -1
Let p be (-216)/63*(-14)/4. Factor p + 180*j**2 - 14*j + 4 - 202*j + 792*j**2 - 1458*j**3.
-2*(9*j - 2)**3
Let w = 57 + -53. Solve 23 - 23 + 15*i**2 + 10*i - 5*i**w = 0.
-1, 0, 2
Let w(g) be the third derivative of 2*g**7/945 + 17*g**6/540 + g**5/45 - 17*g**4/108 - 8*g**3/27 - 44*g**2. What is x in w(x) = 0?
-8, -1, -1/2, 1
Suppose 55*h - 290 = 57*h. Let w = h + 1016/7. Determine z so that 0 + 1/7*z**4 + 0*z - w*z**3 - 2/7*z**2 = 0.
-1, 0, 2
Let a = 11 + -24. Let m = a - -15. Let -4*q**2 + q**2 - 2*q**2 + 3*q**m = 0. What is q?
0
Let h(z) be the first derivative of 1/2*z**6 + 9/2*z**2 + 2*z**3 - 3*z**4 + 0*z**5 - 6*z - 27. Factor h(r).
3*(r - 1)**3*(r + 1)*(r + 2)
Let i = 7/262 + -45209/524. Let r = -86 - i. Let 0*b - 3/4*b**2 + 1 - r*b**3 = 0. What is b?
-2, 1
Let l(j) be the second derivative of -j**8/20160 + j**6/720 + j**5/180 - 7*j**4/12 + 4*j. Let w(a) be the third derivative of l(a). Factor w(d).
-(d - 2)*(d + 1)**2/3
Let c = 7 + -1. Let x(u) = -4*u - 33. Let s be x(-9). Factor 1 + 1 - s*m**4 - 6*m + 1 + c*m**3.
-3*(m - 1)**3*(m + 1)
Factor -4/5*c**2 + 4/5*c + 0.
-4*c*(c - 1)/5
Suppose 19*v - 120 = -11*v. Let m(n) be the third derivative of 0*n**5 + 0*n**v + 1/360*n**6 + 0*n - 7*n**2 + 0*n**3 + 0. Factor m(g).
g**3/3
Let h be (9 - 30/5)*1. Let k(x) be the third derivative of 0*x + 1/45*x**6 - 1/45*x**5 - 8*x**2 + 0*x**h + 0*x**4 - 2/315*x**7 + 0. Solve k(p) = 0.
0, 1
Let y(k) be the first derivative of -k**4/14 + 30*k**3/7 - 432*k**2/7 - 3456*k/7 + 886. Factor y(f).
-2*(f - 24)**2*(f + 3)/7
Let b = 278 + -275. Let y(l) be the first derivative of 6/7*l**b + 0*l + 22/35*l**5 + 1/7*l**6 + 15/14*l**4 + 7 + 2/7*l**2. Factor y(q).
2*q*(q + 1)**3*(3*q + 2)/7
Let g(o) be the second derivative of -o**5/10 + 17*o**4/2 - 33*o**3 + 49*o**2 - 45*o. Suppose g(d) = 0. What is d?
1, 49
Let p(q) = -53*q**4 + 80*q**3 - 4*q**2 - 26*q - 3. Let l(u) = -52*u**4 + 79*u**3 - 5*u**2 - 27*u - 3. Let y(w) = 3*l(w) - 4*p(w). Determine x so that y(x) = 0.
-3/8, -1/7, 1
Factor s**4 + 235*s**