*o**3 - z*o**2 - 3*o**4 = 0.
-2, -1, 0
Let n(o) be the third derivative of -14/3*o**3 - 13/12*o**4 + 0*o - 81*o**2 + 0 + 1/30*o**5. Factor n(g).
2*(g - 14)*(g + 1)
Let c = 2/5123 - -30728/25615. Let j(v) be the first derivative of 21/10*v**2 - c*v + 4/5*v**3 - 2. Find g, given that j(g) = 0.
-2, 1/4
Determine g so that -36*g**2 + 216*g**3 + 1715 - 45*g**5 - 12*g**4 + 3564*g + 1616 - 415 + 1548*g**2 + 41*g**5 = 0.
-3, 9
Let g(p) be the first derivative of -p**6/6 + p**5/5 + 3*p**4/2 - 14*p**3/3 + 11*p**2/2 - 3*p - 103. Factor g(x).
-(x - 1)**4*(x + 3)
Let q(c) be the second derivative of c**5/5 - 100*c**4/3 + 392*c**3/3 - 56*c - 5. Factor q(t).
4*t*(t - 98)*(t - 2)
Let z be 6/14 + 0 + (-1)/(-7)*(21 + -24). Find r such that 2/7*r**2 - 68/7*r + z = 0.
0, 34
Let k be (-14)/(-3) + 1808/(-678). Find w, given that -1/10*w**k + 3/5*w + 8/5 = 0.
-2, 8
Let i(v) be the third derivative of -v**6/24 + 471*v**5/4 - 1109205*v**4/8 + 174145185*v**3/2 + 2*v**2 + 35*v + 80. Let i(n) = 0. What is n?
471
Let q(n) = n**2 + 4*n + 2. Let u be q(-4). Let z = -305/396 + 73/44. What is x in -z*x - 40/9*x**4 + 10*x**u - 8/9 - 34/9*x**3 = 0?
-2, -1/4, 2/5, 1
Let n = -13721 - -96063/7. Let 0 - 52/7*s**2 - 5/7*s**4 + 32/7*s**3 + n*s = 0. Calculate s.
0, 2/5, 2, 4
What is w in 1/4*w**4 + 0*w - 13*w**2 + 0 - 51/4*w**3 = 0?
-1, 0, 52
Let x(f) be the second derivative of 961/3*f**2 - 12*f**4 - 29*f + 2201/6*f**3 - 1 + 7/60*f**5. Factor x(c).
(c - 31)**2*(7*c + 2)/3
Suppose -4*m - i + 22138 = 0, -7239 = -5*m - 3*i + 20430. Let q be (m/36)/15 - 10. Let -1/4*d**2 + 0 + 1/4*d + 1/4*d**4 - q*d**3 = 0. Calculate d.
-1, 0, 1
Let x(o) be the second derivative of -o**6/135 - 17*o**5/45 + 2*o**4 - 110*o**3/27 + 37*o**2/9 - o - 566. Factor x(k).
-2*(k - 1)**3*(k + 37)/9
Let p(x) be the second derivative of 1 + 6/19*x**3 + 25/38*x**4 + 2*x + 0*x**2 + 7/285*x**6 + 22/95*x**5. Suppose p(h) = 0. Calculate h.
-3, -2/7, 0
Let x(q) = -3*q**2 + 11511*q + 9. Let s(i) = -i**2 + 2876*i + 2. Let p(d) = 9*s(d) - 2*x(d). Factor p(j).
-3*j*(j - 954)
Solve -67*n**2 - 436 + 166*n - 76 + 2*n**3 - 91*n - 9*n**2 + 325*n = 0 for n.
2, 4, 32
Let k(j) = -5*j - 70. Let y be k(-6). Let d be (-1 - y/45)*3/(-2). Let 0*i + 0 - 1/6*i**2 + 1/6*i**5 + d*i**4 - 1/6*i**3 = 0. Calculate i.
-1, 0, 1
Let h(l) be the first derivative of 194*l**3/21 + 107*l**2/7 + 20*l/7 - 3624. Factor h(n).
2*(n + 1)*(97*n + 10)/7
Let 32 - 2*q**3 + 151 + 1150*q**2 + 2306*q - 120 + 1091 = 0. Calculate q.
-1, 577
Let l(z) be the third derivative of -1/420*z**7 + 1/120*z**5 + 1/672*z**8 + 0*z**4 + 0 + 0*z**3 + 0*z - 1/240*z**6 + 74*z**2. Factor l(c).
c**2*(c - 1)**2*(c + 1)/2
Let -36*z**4 - 9975*z**2 + 2440*z**3 + 1153*z**3 + 4978*z - 81*z**4 - 3283*z + z**5 + 4803*z = 0. Calculate z.
0, 1, 2, 57
Let 5929/8 - 5775/8*l - 1/8*l**3 - 153/8*l**2 = 0. Calculate l.
-77, 1
Let x(u) be the third derivative of u**5/75 + 6*u**4/5 + 66*u**3/5 - 664*u**2. What is f in x(f) = 0?
-33, -3
Find a such that -1070 - 156*a + 91 - 3*a**2 - 636 + 453 - 866 = 0.
-26
Factor -76*l**3 + 94*l + 114*l**3 + 26*l**2 + 70 - 36*l**3.
2*(l + 1)*(l + 5)*(l + 7)
Let o = -88659/65 + 23860/13. Let z = o + -471. Determine p, given that 2/5*p + z*p**3 + p**2 + 0 = 0.
-2, -1/2, 0
Let d be 6350*((-36)/144 - (-10)/8). Let -63 - 6410*a - 3*a**2 + d*a + 5*a**2 + a**2 = 0. What is a?
-1, 21
Let d(m) = -m**3 + m**2 - 11*m - 11. Let g be d(-1). Suppose -2*u = -u. Find o, given that 0*o - 3*o**2 + u*o - g*o**2 + 15*o = 0.
0, 3
Factor -3*r**2 - 421*r - 4*r**3 - 6*r**2 - 35*r**2 - 57 - 39 + 285*r.
-4*(r + 1)*(r + 4)*(r + 6)
Let a(v) be the first derivative of 72/5*v - 40 + 6/25*v**5 - 6/5*v**3 - 9/5*v**4 + 48/5*v**2. Factor a(l).
6*(l - 6)*(l - 2)*(l + 1)**2/5
Suppose -5*d + 24 = -d + 2*y, 3*d - 28 = y. Let g = -5 + d. Solve -g + o**2 + 76*o - 75*o + 1 = 0.
-2, 1
Let f(a) be the third derivative of 0*a**4 - 1/240*a**5 + 0*a + 0 + 36*a**2 + 1/24*a**3. Factor f(y).
-(y - 1)*(y + 1)/4
Suppose -3*p + 4*d = 47 + 53, 5*p + 5*d = -120. Let n = 48 + p. Determine l so that 60*l**4 - 31*l**5 + 5*l**5 - 70*l**2 + 15*l + n*l**3 - 9*l**5 + 10 = 0.
-1, -2/7, 1
Let z(k) be the first derivative of 9/7*k**2 + 0*k + k**3 + 3/28*k**4 + 42. Determine a so that z(a) = 0.
-6, -1, 0
Let q = -62621/189 + 994/3. Let y(z) be the second derivative of 1/27*z**3 - 1/45*z**5 + 0 - 21*z + q*z**7 - 1/9*z**2 + 1/27*z**4 - 1/135*z**6. Factor y(n).
2*(n - 1)**3*(n + 1)**2/9
Suppose 8625 = 127*a + 8244. Let w(s) be the third derivative of -25 + 0*s**a - 1/120*s**6 + 0*s - s**2 - 1/12*s**4 - 1/20*s**5. Let w(d) = 0. What is d?
-2, -1, 0
Let j(d) be the second derivative of d**7/3780 - d**6/1620 + 30*d**3 + 269*d. Let k(o) be the second derivative of j(o). Suppose k(z) = 0. Calculate z.
0, 1
Let z be ((-432)/96)/(81/(-90)). Let -25/8*d - 5/4*d**4 + 3*d**3 + 1/8*d**z + 5/4*d**2 + 0 = 0. Calculate d.
-1, 0, 1, 5
Let h be 7 - -7 - 1 - (-2)/(24/(-141)). Factor 35/4*x**3 - 5 - 75/4*x**2 - h*x**4 + 65/4*x.
-5*(x - 4)*(x - 1)**3/4
Let x = 1387/41 - 26995/861. Factor -x + 50/21*n + 2/21*n**2.
2*(n - 1)*(n + 26)/21
Suppose -22*x + 26*x - 159 = 5*u, -4*x + 132 = 4*u. Let a be (2/28)/(x/42)*3. Factor 1/4*f + 0 - a*f**2.
-f*(f - 1)/4
Solve -16/3*d**2 - 38*d + 2/9*d**3 - 60 = 0.
-3, 30
Let d(c) be the second derivative of 57/20*c**5 - 3*c**2 + 7/10*c**6 - 28*c + 15/4*c**4 + 1/2*c**3 + 0. Let d(j) = 0. Calculate j.
-1, 2/7
Let l be (5242/(-4))/(7/(-2)). Let a = 375 - l. Determine s, given that 4/7 - a*s**2 + 12/7*s - 12/7*s**3 = 0.
-1, -1/3, 1
Let d(j) = -2664*j + 1776890. Let x(v) = -v**2 + 2*v + 1. Let b(i) = -3*d(i) + 3*x(i). Solve b(n) = 0 for n.
1333
Let t(q) be the third derivative of -q**5/20 + 387*q**4/8 + 194*q**3 - q**2 + 523*q. Find p, given that t(p) = 0.
-1, 388
Let f = -21313 + 1023025/48. Let r(x) be the third derivative of 0*x + 0 + 7/120*x**5 - f*x**6 - 1/3*x**3 + 1/6*x**4 + 30*x**2. Factor r(q).
-(q - 2)*(q + 1)*(5*q - 2)/2
Let a(s) = 13*s - 179. Let n be a(14). Suppose -n*d + 15 + 7 = 5*k, 0 = -3*k + 5*d - 14. Factor -3/2 - 1/4*z + 1/4*z**k.
(z - 3)*(z + 2)/4
Let i(x) be the second derivative of 0*x**2 + 43*x + 1/20*x**5 - 1/4*x**4 + 1/3*x**3 + 0. Factor i(j).
j*(j - 2)*(j - 1)
Let -3*g**2 - 14*g + 8 + 14*g**3 - 648*g**4 + 1191*g**4 - 548*g**4 = 0. Calculate g.
-1, 4/5, 1, 2
Let b(z) be the first derivative of -6*z**4 + 0*z - 2/3*z**6 - 8/3*z**3 + 14 - 18/5*z**5 + 0*z**2. Solve b(i) = 0.
-2, -1/2, 0
Let h(v) be the third derivative of 1/75*v**5 + 49*v**2 + 1/600*v**6 + 0*v + 0*v**3 + 1/30*v**4 + 0. Factor h(w).
w*(w + 2)**2/5
Let r(a) be the first derivative of -1/14*a**4 + 0*a**3 - 81 + 0*a + 1/7*a**2. Factor r(u).
-2*u*(u - 1)*(u + 1)/7
Determine b, given that 5/3*b**4 - 100/3*b**3 + 0 - 245*b**2 - 390*b = 0.
-3, 0, 26
Let h(x) be the third derivative of -1/48*x**4 - 2*x**2 + 1/15*x**3 - 12 + 0*x + 1/600*x**5. Suppose h(z) = 0. Calculate z.
1, 4
Let v = -19935/4 + 111167/20. Let k = v + -574. What is l in k*l**3 + 18/5*l - 3*l**2 + 0 = 0?
0, 2, 3
Suppose -9*v - 4 + 40 = 0. Factor -2*u**v - 24*u**3 - 72*u**2 + 86 - 86.
-2*u**2*(u + 6)**2
Let i be ((-16)/(-2))/(-8)*0. Suppose 3*x + h - 4 = i, 2*x + 5*h + 10 = -3*x. Factor -x - 5*v**2 - 19/2*v.
-(2*v + 3)*(5*v + 2)/2
Let r = -12403/267360 - -27/557. Let h(d) be the third derivative of 0*d**3 - 1/24*d**4 + 0 - 32*d**2 - r*d**6 + 1/60*d**5 + 0*d. Suppose h(k) = 0. What is k?
0, 2
Suppose z + 2*q + 12 = 0, 5*z + 74*q = 73*q + 3. Determine l, given that -4 - 2/3*l**3 + 10/3*l + 4/3*l**z = 0.
-2, 1, 3
Let h(t) be the third derivative of t**5/90 + 31*t**4/36 + 28*t**3/3 - t**2 - 425. Factor h(j).
2*(j + 3)*(j + 28)/3
Let h(n) be the first derivative of 5*n**4/12 + 5*n**3 + 45*n**2/2 + 62*n + 27. Let x(d) be the first derivative of h(d). Find k, given that x(k) = 0.
-3
Let f be (-30)/(-16)*(-8)/(-6). Let t be (-416 - -414) + 1 + 4. Factor 5*u**2 - 5/2*u**t - 5 + f*u.
-5*(u - 2)*(u - 1)*(u + 1)/2
Let p(f) be the third derivative of 507/4*f**3 - f**2 + 0 + 13/8*f**4 - 39*f + 1/120*f**5. Factor p(b).
(b + 39)**2/2
Let o = -121621/24 - -40551/8. Determine x, given that o - 1/2*x**2 - x + 1/6*x**3 = 0.
-2, 1, 4
Let m(v) be the first derivative of -v**4/4 + 29*v**3/3 - 103*v**2/2 + 75*v - 637. Factor m(h).
-(h - 25)*(h - 3)*(h - 1)
Let t(i) = 5265*i**3 - 74260*i**2 + 221000*i + 3004