derivative of 3*v**5/20 - 63*v**4/4 + 540*v**3 - 8424*v**2 + 4852*v. Factor k(j).
3*(j - 39)*(j - 12)**2
Let f(m) = -44*m**2 - 834*m + 41. Let h be f(-19). Let n(x) be the first derivative of -3*x + h + 1/3*x**3 - x**2. Factor n(j).
(j - 3)*(j + 1)
Let g = -1352384 - -1352387. Suppose 4*v + 7 = -2*a - a, -3*v - a + 1 = 0. Factor -1/3*q**4 + 0 + 1/2*q**g + 0*q**v - 1/6*q.
-q*(q - 1)**2*(2*q + 1)/6
Let o be ((-12)/(-7))/(3/(-63)). Let a be (-1)/(-4) - 99/o. Factor -3/5*t**2 + a*t - 3/5*t**3 - 9/5.
-3*(t - 1)**2*(t + 3)/5
Factor 5*b**3 - 6*b**3 - 1048391*b**2 - 170*b + 1048220*b**2.
-b*(b + 1)*(b + 170)
Solve 235*n**3 - 765/2 - 465/2*n + 355*n**2 - 5/2*n**5 + 55/2*n**4 = 0.
-3, -1, 1, 17
Let g be 3/(-15) + 696/5. Let o = 19 + g. What is r in -o*r**3 + 153*r**3 + r**2 + 4*r**2 = 0?
0, 1
Let j(d) be the second derivative of -d**7/21 - d**6/3 - 4*d**5/5 - 2*d**4/3 + 112*d - 1. What is l in j(l) = 0?
-2, -1, 0
Let a be (10/7)/((-64)/((-26880)/(-450)))*54/(-52). Factor -2/13*b**3 + 0 - a*b**2 - 28/13*b.
-2*b*(b + 2)*(b + 7)/13
Let p(u) be the third derivative of u**5/120 + 1043*u**4/24 + 1087849*u**3/12 - 10*u**2 + 52*u. Find k such that p(k) = 0.
-1043
Suppose 0 = 8*f - 34 + 10. Factor -6*x**4 + 27*x**f + 5*x**4 + 0*x**5 + 3*x**5 - 17*x**4.
3*x**3*(x - 3)**2
Suppose -29*o + 201*o - 860 = 0. Let h(l) be the first derivative of 2/65*l**o + 1/13*l**4 - 2/13*l**2 - 2/39*l**3 + 0*l + 14. Solve h(q) = 0 for q.
-2, -1, 0, 1
Let j(c) be the third derivative of 5/24*c**4 - 1/120*c**6 + 0 + 0*c - 1/15*c**5 + 0*c**3 + 54*c**2. Factor j(z).
-z*(z - 1)*(z + 5)
Suppose 2*y - 6 = -2. Find r such that 48 - 79*r**2 - 296*r + 134*r**2 + 298*r**2 + 115*r**y - 70*r**3 = 0.
2/7, 2/5, 6
Let u be 8/(80/9925)*(-3)/(-140). Let g = -169/8 + u. Solve -1/7*a**3 + g*a + 2/7 + 1/7*a**4 - 3/7*a**2 = 0 for a.
-1, 1, 2
Suppose -513*h - 20 = -518*h. Let k be ((-901)/85 + 12)*h/42. Factor -2/15*d + k*d**3 + 4/15*d**2 - 4/15.
2*(d - 1)*(d + 1)*(d + 2)/15
Let o(t) be the second derivative of t**5/4 + 53*t**4/12 - 11*t**3/3 + 56*t + 3. Factor o(z).
z*(z + 11)*(5*z - 2)
Factor -2/7*i**3 + 0 + 0*i - 76/7*i**2.
-2*i**2*(i + 38)/7
Suppose -5*o = -5*c + 25, 0 = -9*o + 10*o + 2. Let f(y) be the first derivative of 1/8*y**4 - 2/3*y**c + 36 + 5/4*y**2 - y. Factor f(q).
(q - 2)*(q - 1)**2/2
Let r be 4/10 + (-11)/(110/(-136)). Factor 9 - 78*k - 43*k - 3*k**3 + 227*k + r*k + 123 + 21*k**2.
-3*(k - 11)*(k + 2)**2
Let r(t) be the first derivative of -26 + 4/3*t**3 + 36*t - 20*t**2. Factor r(d).
4*(d - 9)*(d - 1)
Let h(m) be the third derivative of -m**7/42 + 9*m**6/4 + m**5/12 - 45*m**4/4 + 4242*m**2. Factor h(k).
-5*k*(k - 54)*(k - 1)*(k + 1)
Suppose -v + 37 = -20*r + 25*r, 0 = 2*v - 5*r - 44. Let q(l) be the first derivative of 81/20*l**5 - v + 397/3*l**3 - 76*l**2 + 16*l - 171/4*l**4. Factor q(j).
(j - 4)**2*(9*j - 2)**2/4
Let w = -673 - -705. Suppose -22*t + w = -6*t. Factor 3/2 - t*p**2 + 11/2*p.
-(p - 3)*(4*p + 1)/2
Let f(l) be the second derivative of -7*l**4/6 - 38*l**3 + 85*l**2 + 31*l. Factor f(x).
-2*(x + 17)*(7*x - 5)
Let p = -5108 + 5112. Let d(h) be the first derivative of h**5 + 25/2*h**p + 65/3*h**3 - 150*h**2 + 40 + 180*h. Factor d(g).
5*(g - 1)**2*(g + 6)**2
Let k(n) be the second derivative of n**7/147 + 29*n**6/70 + 123*n**5/140 - 32*n**4/21 - 2*n**3 + 90*n + 10. What is x in k(x) = 0?
-42, -2, -1/2, 0, 1
Let s(a) be the second derivative of a**7/49 - 86*a**6/105 + 278*a**5/35 + 145*a**4/7 + 75*a**3/7 + 1337*a. Solve s(o) = 0.
-1, -1/3, 0, 15
Let m(p) be the second derivative of -2*p**7/189 + 4*p**6/135 + 8*p**5/5 - 218*p**4/27 + 434*p**3/27 - 16*p**2 - 2*p + 3551. Solve m(j) = 0.
-9, 1, 8
Let t = -5304713/5 + 1060943. Determine x so that -56/5 - 6/5*x + t*x**2 = 0.
-4, 7
Solve 282/11*g**2 + 2/11*g**3 + 276/11*g - 560/11 = 0.
-140, -2, 1
Let s = -29432 - -29435. Let -8/5*q + 8/5 + 2/5*q**s - 2/5*q**2 = 0. Calculate q.
-2, 1, 2
Let w(z) be the second derivative of 0 + 7/6*z**3 - 1/12*z**4 - 5*z**2 - 74*z. Suppose w(l) = 0. Calculate l.
2, 5
Let y = -772965 - -6956687/9. Find c such that -34/9*c + 32/9 + y*c**2 = 0.
1, 16
Suppose 4*z - 3*r = 556978, 696217 = 5*z - 2*r + r. Factor 432*h**2 + z + 20263*h + 14*h**3 + 47381 - 10*h**3 - 4711*h.
4*(h + 36)**3
Factor -4942*r**3 + 2476*r**3 + 2469*r**3 - 96*r**2 + 717*r + 816.
3*(r - 17)*(r - 16)*(r + 1)
Let l(h) = 13*h**4 - 169*h**3 - 612*h**2 - 236*h + 4. Let x(g) = 28*g**4 - 337*g**3 - 1217*g**2 - 474*g + 9. Let o(q) = -9*l(q) + 4*x(q). Solve o(b) = 0 for b.
-3, -2/5, 0, 38
Find s such that -32 + 31/6*s**2 + 19/3*s - 1/6*s**3 = 0.
-3, 2, 32
Let b = 345473/230302 - 10/115151. Factor 1/2*h**4 - b*h**3 - 9/2*h**2 - 5/2*h + 0.
h*(h - 5)*(h + 1)**2/2
Factor 1/4*q**2 + 3/4*q - 1.
(q - 1)*(q + 4)/4
Solve -66*l + 2/9*l**3 - 532/9 - 20/3*l**2 = 0 for l.
-7, -1, 38
Let d = -863/11640 + -1/120. Let l = 428/485 + d. Factor -4/5*a - l*a**2 + 0.
-4*a*(a + 1)/5
Let n = 0 + 8. Suppose 96*m + n*m**2 + 4*m**3 + 64 - 9*m**2 + 27*m**2 + 10*m**2 = 0. What is m?
-4, -1
Let n(x) be the second derivative of -9*x**5/20 - x**3/6 - x**2/2 - 3*x. Let a be n(-1). Factor g + 6 + 3*g**4 + 15*g**3 + 27*g**2 + a*g + 11*g.
3*(g + 1)**3*(g + 2)
Factor 0 + 317/8*o**2 - 1/2*o**3 - 79/8*o.
-o*(o - 79)*(4*o - 1)/8
Let h(n) = -4*n**2 + 4*n + 16. Let y be (-3 - -5 - 3)*(-10 - -2). Let k(c) be the first derivative of c + 26. Let d(p) = y*k(p) + h(p). Let d(z) = 0. What is z?
-2, 3
Let f(n) be the first derivative of -n**8/13440 + n**3/3 + 27*n**2/2 + 55. Let b(w) be the third derivative of f(w). Factor b(m).
-m**4/8
Let t = 386 + -348. Suppose 0 = -6*k + t - 26. Factor 0 + 0*u**k + 3/5*u - 3/5*u**3.
-3*u*(u - 1)*(u + 1)/5
Let x(p) be the second derivative of 2*p**6/15 - 3176*p**5/5 + 1260872*p**4 - 4004529472*p**3/3 + 794899100192*p**2 + 279*p + 2. Factor x(y).
4*(y - 794)**4
Let h(m) = 4*m**2 - 39*m - 229. Let c(z) = 4*z**2 - 32*z - 228. Let s(x) = -5*c(x) + 4*h(x). Solve s(f) = 0 for f.
-7, 8
Let h(y) be the second derivative of -y**4/16 - 1251*y**3/4 - 4695003*y**2/8 - 7015*y. Determine l so that h(l) = 0.
-1251
Find c such that 3*c**2 - 23/8*c - 1/8 = 0.
-1/24, 1
Let u = 867597 + -867595. Solve -2/3*c**u + 36*c - 106/3 = 0.
1, 53
Let a = 158112 + -316223/2. Let a*w**2 + 5/2*w + 2 = 0. Calculate w.
-4, -1
Suppose 11*f - 638 = -451. Suppose -f - 8*z**2 - 14*z**4 + 17 + 8*z**2 - 2*z**5 - 20*z**3 = 0. What is z?
-5, -2, 0
Suppose 0 = 4*j + 12, -27*j = -4*u - 32*j - 7. Let o = 47/98 - -1/49. Factor -o*c**5 + 0*c**4 + 1 - c**u - 3/2*c + 2*c**3.
-(c - 1)**3*(c + 1)*(c + 2)/2
Let z(q) be the third derivative of -q**6/810 - q**5/54 - 2*q**4/27 + 23*q**3/3 - 2*q**2 + 8. Let w(y) be the first derivative of z(y). Factor w(i).
-4*(i + 1)*(i + 4)/9
Let x be -7 + (11 - 3)/(2 - (0 - -1)). Let n(h) be the second derivative of h**4/4 + h**3/2 + h. Let p(y) = -y**2 - y. Let j(b) = x*n(b) + 5*p(b). Factor j(d).
-2*d*(d + 1)
Let s be 813/(-234) - (40/(-15))/8. Let f = 5/26 - s. Let -4/3 + 2/3*k + 16/3*k**2 + f*k**3 = 0. Calculate k.
-1, 2/5
Let n be 1*-7 - 41/41 - -10. Let m(l) be the second derivative of -35/12*l**4 + 5/6*l**3 + 0*l**n + 3/2*l**5 + 0 - 6*l. Find j such that m(j) = 0.
0, 1/6, 1
Let v(f) = 5*f**5 - 15*f**4 - 4*f**2 - 12. Let d(n) = -6*n**5 + 18*n**4 + 4*n**2 + 14. Let m(g) = 6*d(g) + 7*v(g). Determine h, given that m(h) = 0.
-1, 0, 2
Let v be 18/(-8) - 5 - 3/(-12). Let u be ((-6)/2 - v)*4/12. Suppose -u + 14/9*s - 2/9*s**3 + 0*s**2 = 0. Calculate s.
-3, 1, 2
Suppose -237*i - 1338 = -683*i. Let k(y) be the first derivative of -21 + 2/7*y - 2/21*y**i - 1/14*y**4 + 1/7*y**2. Factor k(r).
-2*(r - 1)*(r + 1)**2/7
Let h(d) be the second derivative of 60*d**2 + 0 - 1/3*d**4 - 14/3*d**3 - 118*d. What is u in h(u) = 0?
-10, 3
Suppose -7*n - 4*n = -44. Let x be 3737/202 + (-1 + 0 - n). Solve 32 - 72*q - x*q**3 + 54*q**2 = 0.
4/3
Let s(o) be the third derivative of o**6/120 - 31*o**5/4 + 24025*o**4/8 - 3723875*o**3/6 + 27*o**2 + 8*o. Suppose s(n) = 0. Calculate n.
155
Let i(c) = 15*c**2 + 14691*c - 81. Let n(j) = j**2 + 1130*j - 6. Let d(t) = -2*i(t) + 27*n(t). Suppose d(z) = 0. What is z?
0, 376
Let f(q) be the third derivative of -1/60*q**5 - 5 - 1/180*q**6 + 0*q**4 + 0*q**3 + 0*q + 1/630*q**7 - 3*q**2. Suppose f(x) = 0. What is x?
-1, 0, 3
Let v = -2484601/3 - -828201. Factor 1/3*y*