 161*j**4/16 + 1945*j**3/24 - 1461*j**2/8 - 15934*j. Factor w(i).
-(i - 3)*(i - 1)*(i + 487)/4
Let y(s) be the first derivative of -s**9/432 - 17*s**8/1680 - s**7/140 - 23*s**3/3 + s**2/2 - 117. Let k(t) be the third derivative of y(t). Factor k(z).
-z**3*(z + 2)*(7*z + 3)
Let r(d) = -7*d**2 - 1083*d + 1106. Let z(n) = 50*n**2 + 7580*n - 7750. Let p(q) = 15*r(q) + 2*z(q). Solve p(c) = 0.
-218, 1
Let i = 27 + -22. Factor 324*m**i - 156*m**5 - 163*m**5 - 10*m**4 - 20*m**3 + 40*m**2.
5*m**2*(m - 2)**2*(m + 2)
Let o = 97 + -92. Suppose 3*h + 3*s = -s + 18, 5*h - 5*s = -o. Factor -10*r - 1458*r**4 - 6*r - 697*r**3 - 275*r**3 - 216*r**h.
-2*r*(9*r + 2)**3
Let z(w) be the second derivative of 2*w**6/15 + 61*w**5/5 + 989*w**4/3 + 3598*w**3/3 + 1740*w**2 - 5*w - 9. Find g, given that z(g) = 0.
-30, -29, -1
Let f(s) = 77*s**3 - 4*s**2 - 13*s - 24. Let u be f(-2). Let q be (-324)/u + (-2)/(-7). Factor -2/5*p**3 - q*p + 6/5*p**2 + 0.
-2*p*(p - 2)*(p - 1)/5
Let k = 29737/17346 - 1/17346. Factor k*w + 2/21*w**2 + 64/21.
2*(w + 2)*(w + 16)/21
Let l(n) be the second derivative of 7*n**6/180 - 383*n**5/120 + 491*n**4/36 + 26*n**3/3 + 2495*n. Factor l(a).
a*(a - 52)*(a - 3)*(7*a + 2)/6
Let y(h) = 3 - 9*h + 2*h**3 + 10*h**3 - 11*h**3 + 8*h**2. Let s be y(-9). Factor 11*c + c**4 + 2*c**2 + c**2 - s*c**3 - 25*c + 13*c.
c*(c - 1)**3
Let d(x) be the second derivative of -4/33*x**4 + 4/11*x**3 - 1/22*x**5 + 1/165*x**6 + 7 + 0*x**2 - 15*x. Factor d(c).
2*c*(c - 6)*(c - 1)*(c + 2)/11
Let l = 5176/1551 - -515/517. Solve 8/9*i**3 + l*i**2 + 34/9*i - 5/9*i**4 + 8/9 = 0 for i.
-1, -2/5, 4
Factor 1/2*w**4 - w**2 + 140 + 15/2*w**3 - 102*w.
(w - 2)**2*(w + 5)*(w + 14)/2
Factor -58*v**2 + 2/11*v**3 + 636/11*v + 0.
2*v*(v - 318)*(v - 1)/11
Let j(g) be the third derivative of -g**6/360 - 2*g**5/15 + 17*g**4/24 - 47*g**3/6 - 36*g**2. Let k(s) be the first derivative of j(s). Factor k(c).
-(c - 1)*(c + 17)
Suppose 317*c + 237*c + 156 = 632*c. Factor 10/7*n - 2/7*n**c + 0.
-2*n*(n - 5)/7
Let n(d) = 5*d**3 + 34*d**2 - 139*d - 152. Let j(l) = -4*l**3 - 35*l**2 + 137*l + 154. Let y(p) = -8*j(p) - 7*n(p). Suppose y(g) = 0. Calculate g.
-1, 7, 8
Suppose -782*r = -1558*r + 759*r. Let d(z) be the second derivative of -16/5*z**5 + 0*z**2 + r + 15*z - 8*z**4 - 6*z**3. Factor d(o).
-4*o*(4*o + 3)**2
Let g = -473465 + 473467. Factor -5/2*f - 5/4*f**4 + 5/2*f**3 + 0 + 5/4*f**g.
-5*f*(f - 2)*(f - 1)*(f + 1)/4
Let g(i) = -376*i - 1876. Let p be g(-5). Let l(n) be the second derivative of -5/6*n**3 + 5/2*n**2 - 18*n + 5/48*n**p + 0. Factor l(f).
5*(f - 2)**2/4
Let z(w) be the third derivative of 57*w**2 + 0 + 1/64*w**4 + 0*w + 0*w**3 - 1/160*w**5. Find o, given that z(o) = 0.
0, 1
Let z be ((-1)/(-48)*6)/((2/4)/1). Let n(m) be the first derivative of -26 - 2*m**3 + 0*m**2 + 0*m - z*m**4. Factor n(p).
-p**2*(p + 6)
Let k(w) be the second derivative of w**6/15 - 951*w**5/20 + 113761*w**4/12 - 56327*w**3/2 + 56169*w**2/2 + w + 12. Solve k(j) = 0 for j.
1/2, 1, 237
Let f(o) = o**3 + 7*o**2 + 12*o + 13. Let z be f(-4). What is r in -6*r**2 - 9*r**3 + z*r**3 + r**2 + r**2 = 0?
0, 1
Suppose -18*q - 9 = -21*q. Let a be (-12)/(3/(-6)*2). Let -q*f - 3*f**5 - 8*f**4 - 23*f**3 + 5*f**3 - a*f**2 - 4*f**4 = 0. Calculate f.
-1, 0
Suppose 833 = 107*s - 100*s. Factor -w**3 + 3*w**2 - 250*w + s*w + 0*w**3 + 128*w + 1.
-(w - 1)**3
Let g(m) = 6*m + 23. Let v be g(7). Suppose -87 = -8*l + v. Factor 2*c - 6*c + l*c + 20 - 5*c**2.
-5*(c - 4)*(c + 1)
Let b(p) be the third derivative of p**7/70 + 69*p**6/160 - 119*p**5/160 - 195*p**4/64 + 27*p**3/8 + 3975*p**2. Find n such that b(n) = 0.
-18, -1, 1/4, 3/2
Let f(n) = 4*n + 144. Let q be f(-35). Let i be 816/160 + (q/(-1))/40. Factor 3/5*o**i - 3/5*o**2 + 24/5*o - 12/5 - 3*o**3 + 3/5*o**4.
3*(o - 1)**3*(o + 2)**2/5
Let f(v) = 6*v**3 + 12*v**2 + 5. Let o(p) be the second derivative of 3*p**5/20 + p**4/2 + 3*p**2/2 - p - 21. Let d(u) = -3*f(u) + 5*o(u). Factor d(r).
-3*r**2*(r + 2)
Let j(m) be the third derivative of -5*m**8/336 + 2*m**7/7 - 41*m**6/24 + 7*m**5/2 + 7*m**2 + 417*m. Find o such that j(o) = 0.
0, 2, 3, 7
Let l be (-46)/92*-8*(-8)/(-20). What is m in -l + 8/5*m**3 - 8/5*m + 2/5*m**4 + 6/5*m**2 = 0?
-2, -1, 1
Let y(s) be the second derivative of 15*s - 5/6*s**5 + 16/3*s**3 - 1/21*s**7 - 35/18*s**4 + 19/45*s**6 + 12*s**2 + 0. Solve y(d) = 0.
-1, -2/3, 2, 3
Let b(i) be the third derivative of -i**8/168 + 7*i**6/60 + i**5/5 - 90*i**2. Solve b(v) = 0.
-2, -1, 0, 3
Let u(o) = -7*o**4 + 104*o**3 - 310*o**2 + 291*o - 118. Let r(q) = -20*q**4 + 312*q**3 - 928*q**2 + 874*q - 350. Let z(v) = 5*r(v) - 14*u(v). Factor z(s).
-2*(s - 49)*(s - 1)**3
Let t(c) be the second derivative of -c**4/18 + 8*c**3/3 - 119*c**2/3 + c + 396. Factor t(k).
-2*(k - 17)*(k - 7)/3
Let a(m) = -m**3 - 12*m**2 + 22*m + 2. Let q be a(-14). Let d = q + -51. Solve -7*u**4 - d*u + 1247*u**2 - 1182*u**2 - 25*u**3 + 2*u**4 = 0 for u.
-7, 0, 1
Let 124*a + 1100/9*a**3 - 736/3*a**2 - 8/9 = 0. Calculate a.
2/275, 1
Suppose 5*g = -5*r + 35, 0 = 34*g - 30*g + 2*r - 14. Let q(v) be the first derivative of -1/15*v**5 - 1/18*v**3 - 1/8*v**4 + 0*v**2 - 8 + g*v. Factor q(p).
-p**2*(p + 1)*(2*p + 1)/6
Let r(n) = 3*n**2 - 95*n + 184. Let l be r(2). Suppose -11*s = -l*s + 3*b, 25 = -5*b. Factor 0 + 1/5*u**s + 0*u - 1/5*u**2.
u**2*(u - 1)/5
Let f(s) = 4*s**2 - 10*s - 60. Let v(q) = -20*q**2 + 52*q + 296. Let x(u) = 14*f(u) + 3*v(u). Factor x(y).
-4*(y - 6)*(y + 2)
Suppose -2*s = -n - 192, -2*n = -5*n - 6. Factor -s*g**3 - 32*g + 210*g**2 + 4*g**4 + 11*g**4 + 40 - 148*g.
5*(g - 2)**3*(3*g - 1)
Let p(w) be the second derivative of w + 1/50*w**6 - 23/100*w**5 - 11 + 8/15*w**3 + 0*w**2 + 2/3*w**4. Let p(a) = 0. What is a?
-1/3, 0, 4
Let n = 1939/38860 - -1/9715. Let k(w) be the second derivative of -n*w**5 + 1/6*w**3 + 1/24*w**4 - 1/60*w**6 - 7*w + 0*w**2 + 0. Factor k(g).
-g*(g - 1)*(g + 1)*(g + 2)/2
Suppose -41*u**3 + 14*u**3 + 23*u**3 - 2212 + 236 - 96*u**2 + 2076*u = 0. Calculate u.
-38, 1, 13
Let c(f) be the first derivative of 37/8*f**2 + 11/16*f**4 + 11/4*f**3 + 1/20*f**5 - 138 + 7/2*f. Suppose c(p) = 0. What is p?
-7, -2, -1
Let g be (-192)/544 + 1480/629. What is i in 22/3*i - 20/3 - 2/3*i**g = 0?
1, 10
Let t(a) = -a**3 - 31*a**2 - 143*a - 167. Let y be t(-2). Determine x, given that -72*x + 36*x**2 + 2/3*x**4 + 54 - 8*x**y = 0.
3
Factor -4076*l + 8068*l - 27*l**2 - 4064*l - 3*l**3 - 48.
-3*(l + 1)*(l + 4)**2
Let k be ((-2882)/420)/(-11) + 285/(-475). Let m(b) be the third derivative of 0*b + 1/8*b**6 - 7*b**2 - 1/6*b**5 + 0 + 0*b**4 + 0*b**3 - k*b**7. Factor m(c).
-5*c**2*(c - 2)*(c - 1)
Let g(a) be the third derivative of -a**7/840 + 3*a**6/40 - 81*a**5/40 - a**4/8 + 4*a**2. Let b(w) be the second derivative of g(w). Solve b(x) = 0 for x.
9
Let g(c) = c**4 + 310*c**3 + 23408*c**2 + 45898*c + 22801. Let t(d) = 3*d**3 + d**2 - 3*d. Let b(i) = -5*g(i) + 10*t(i). Find n such that b(n) = 0.
-151, -1
Let d(o) = -11*o**2 + 9528*o - 7565328. Let p(i) = 12*i**2 - 9528*i + 7565340. Let l(x) = -9*d(x) - 8*p(x). What is y in l(y) = 0?
1588
Let x(n) be the second derivative of 7*n**4/3 - 124*n**3/3 + 110*n**2 - 1753*n - 1. Let x(d) = 0. What is d?
1, 55/7
Suppose 0 = 18*p - 41*p + 7797. Factor 20*n**2 - 6*n**3 - 2*n**3 - p*n + 16 + 383*n.
-4*(n - 4)*(n + 1)*(2*n + 1)
Let g be 44/(-77) - 340/(-7). Suppose 63*t**4 + 24*t - 35*t**4 - 45*t**2 - 24*t**3 - 31*t**4 + g = 0. What is t?
-4, -1, 1
Let d(j) be the second derivative of j**6/540 + j**5/27 - 105*j**2 + 238*j. Let m(h) be the first derivative of d(h). Factor m(q).
2*q**2*(q + 10)/9
Let j = -26 + 12. Let k be 2/(j/21) + 60 + -1. Solve 12*c**2 - 5*c**5 - 22*c**2 - 44*c**4 + 45 - 70*c**3 + k*c + 9*c**4 + 19*c = 0 for c.
-3, -1, 1
Let n(v) be the third derivative of v**5/20 - 4*v**4 - 969*v**3/2 + 168*v**2 - 21. Let n(d) = 0. What is d?
-19, 51
Suppose 14135*c - 14139*c = -4 - 12. Let q(x) be the first derivative of -4/3*x**2 + 13 + 16/9*x + 2/15*x**5 + 7/18*x**c - 4/9*x**3. Let q(u) = 0. What is u?
-2, 2/3, 1
Suppose x + 5*u = -13, 3*u = 3*x + 2*u - 9. Factor x*a**2 - 7*a - 8*a + 4*a - 2*a + 36 - 9*a.
2*(a - 9)*(a - 2)
Let i be 81/27 + 222/(-80). Let w = i + 7/40. Find j such that 0*j**3 + 4/5*j**2 - w + 0*j - 2/5*j**4 = 0.
-1, 1
Suppose 4*j = -1 - 55. Let f = 17 + j. De