a - 5257. Let c(t) = -9*i(t) - 4*o(t). Solve c(j) = 0.
-41, 1, 8
Let d(b) = -165*b**2 - b + 13. Let f be d(3). Let m = f - -1480. Determine c, given that -65/2*c**4 - 35*c**2 + 8*c**m + 10*c - 1/2 + 50*c**3 = 0.
1/16, 1
Let y = -438/85 + 3053/510. Let v(s) be the second derivative of 0 + 1/4*s**5 + 0*s**2 + 25*s + 5/6*s**4 + y*s**3. Factor v(h).
5*h*(h + 1)**2
Suppose 5*u = 138*a - 139*a + 49, 7*a = -4*u + 64. Factor -13122/7 - 72/7*j**3 - 972/7*j**2 - 5832/7*j - 2/7*j**a.
-2*(j + 9)**4/7
Let y be (-2616)/3597*(-11)/30. Let k(p) be the second derivative of -2/3*p**3 - 1/2*p**4 + 22*p + y*p**6 + 2/5*p**5 + p**2 + 0. Factor k(r).
2*(r + 1)**2*(2*r - 1)**2
Let f(r) be the second derivative of 15/14*r**2 + 4*r + 0 + 1/84*r**4 - 8/21*r**3. Suppose f(w) = 0. What is w?
1, 15
Let q = 20825/5169 - 624/1723. Find f such that -q*f**2 + 1/3*f**4 - f + 10/3 + f**3 = 0.
-5, -1, 1, 2
Suppose -t - 5*p - 11 = 0, -2*t - 4*p - 17 = -13. Determine f, given that 12 + 9*f - 3*f - 5*f**t - 3 - 15*f**2 + 20*f**3 - 26*f + 11 = 0.
-1, 1, 2
Let y(k) be the first derivative of k**5/15 + 158*k**4/3 + 49928*k**3/3 + 7888624*k**2/3 + 623201296*k/3 - 609. Factor y(t).
(t + 158)**4/3
Let k(g) be the third derivative of -5/4*g**4 + 1/24*g**6 + 0*g**3 + 5/12*g**5 + 0 + 0*g + 28*g**2. Factor k(f).
5*f*(f - 1)*(f + 6)
Let p(s) = s**3 - 7*s**2 + 4*s - 11. Let l be p(7). Suppose -19*i + 16*i = 12, h + l = -5*i. Factor -5/2*d**2 - 35/4*d + 5/4*d**h - 5.
5*(d - 4)*(d + 1)**2/4
Suppose 21 = 5*t - w, -w = 4*t + 2*w - 13. Factor -10*m**t - 3 + m**4 - 5 + 6*m**2 + 36*m + 0 - 25*m**3.
-(m - 1)*(m + 2)**2*(9*m - 2)
Let m be (1 - -1 - (-1551)/(-564)) + (-99)/(-68). Factor m + 2/17*k - 2/17*k**2.
-2*(k - 3)*(k + 2)/17
Let l be (44 - 44 - 24) + 24. Find a, given that -3/8*a**2 + 5/8*a**3 - 1/8*a**5 + 0 + l*a - 1/8*a**4 = 0.
-3, 0, 1
Let g = -71/3 + 25. Let d = 20762/3 - 6903. Factor 9*s**4 + 5/3*s**5 + d*s**2 + g + 55/3*s**3 + 8*s.
(s + 1)**3*(s + 2)*(5*s + 2)/3
Let t(a) be the first derivative of -a**5 - 190*a**4 - 11440*a**3 - 206720*a**2 - 1479680*a + 5365. Suppose t(l) = 0. What is l?
-68, -8
Suppose 4*q + q - 7*i = -88, 5*i = 70. Factor -88/21*y + 10/21*y**q - 6/7.
2*(y - 9)*(5*y + 1)/21
Let v(j) be the third derivative of j**6/180 - 19*j**5/30 + 14*j**4/9 - 3480*j**2. Let v(g) = 0. What is g?
0, 1, 56
Let x(n) be the first derivative of -n**3/21 + 249*n**2/7 - 71*n - 330. Solve x(o) = 0 for o.
1, 497
Suppose -5*k - 8 = l, 4*k + k = -10. Find f, given that 3*f + 9*f**3 + 14*f**2 - 18 - 13*f**2 - 36*f - 10*f**l + 3*f**4 = 0.
-3, -1, 2
Let y(z) be the first derivative of -z**4/16 + 21*z**3/8 - 15*z**2/2 - 40*z - 26. Let o(m) be the first derivative of y(m). Suppose o(k) = 0. What is k?
1, 20
Let t(j) be the second derivative of j**7/70 - 11*j**6/40 + 13*j**5/10 - 2*j**4 + 83*j**2/2 - 193*j. Let a(f) be the first derivative of t(f). Factor a(c).
3*c*(c - 8)*(c - 2)*(c - 1)
Let i(y) = y**3 + 21*y**2 + 119*y + 195. Let r be i(-13). Solve 8*p**2 + 144/5*p**3 + 14/5*p**4 + r + 0*p = 0 for p.
-10, -2/7, 0
Let o(d) = -2*d**3 + 2*d**2. Let u = 620 - 623. Let c(v) = v**2 - 7*v - 4. Let i be c(8). Let w(s) = -s**3 + 2*s**2. Let z(a) = i*o(a) + u*w(a). Factor z(x).
-x**2*(5*x - 2)
Let q(w) = -302*w**4 - 1298*w**3 + 1948*w**2 + 2386*w - 68. Let b(g) = 27*g**4 + 118*g**3 - 177*g**2 - 217*g + 6. Let z(s) = 68*b(s) + 6*q(s). Factor z(n).
4*n*(n - 2)*(n + 11)*(6*n + 5)
Factor 13651*u**3 + 169*u**4 + 335*u**2 + 48*u**2 - 13209*u**3 + 13 + 136*u + 10*u**2 + 3.
(u + 1)**2*(13*u + 4)**2
Solve -34/9 + 11/3*f + 1/9*f**2 = 0.
-34, 1
Let o = -391920 + 391922. Let 8/3 + 8/3*l - 2*l**o + 2/3*l**4 - 4/3*l**3 = 0. What is l?
-1, 2
Let m(s) be the first derivative of 128*s**5/5 + 35*s**4 + 4*s**3 + 1623. What is h in m(h) = 0?
-1, -3/32, 0
Let v(t) be the second derivative of t**7/21 - 5*t**6/3 + 143*t**5/10 + 169*t**4/6 - 16*t + 29. Solve v(f) = 0.
-1, 0, 13
Let a(q) = q - 10. Let v be a(14). Factor -61*x + 42*x**4 + 32*x**2 + 21*x - 44*x**v + 10*x**2.
-2*x*(x - 4)*(x - 1)*(x + 5)
Let p = -801 + 812. Factor r - 4*r**2 - 6*r - 42*r - 13*r - p + 75.
-4*(r - 1)*(r + 16)
Let s(v) be the first derivative of v**3/3 - 174*v**2 + 30276*v + 1442. Factor s(r).
(r - 174)**2
Let h(p) be the third derivative of p**5/120 + 9*p**4 + 330*p**2 - 1. Let h(w) = 0. Calculate w.
-432, 0
Suppose -2187*y + 32*y**4 + 867*y**2 - 31*y**4 - 68*y**2 + 856 + 279*y**2 + 471*y - 219*y**3 = 0. What is y?
1, 2, 214
Let p = -5 - -6. Let o(g) = 5*g**2 + 8*g + 12. Let n = 624 - 620. Let a(r) = -r**2 + 1. Let k(s) = n*a(s) + p*o(s). Factor k(i).
(i + 4)**2
Let -6*c**2 + 58*c - 256*c - 6930 - 6737*c + c**2 = 0. What is c?
-1386, -1
Let s(h) be the second derivative of -3/2*h**2 - 10 + h + 1/24*h**4 + 5/12*h**3. Factor s(l).
(l - 1)*(l + 6)/2
Factor 7/2*d**2 - 1/2*d**3 - 2*d - 6.
-(d - 6)*(d - 2)*(d + 1)/2
Let a be (-17)/(-612)*-28 + 9/(9/2). Let b(l) be the first derivative of 35 - a*l**3 + 0*l - 1/15*l**5 - l**2 - 1/2*l**4. Factor b(k).
-k*(k + 1)*(k + 2)*(k + 3)/3
Suppose 3 = -b, -2*b - 103 - 74 = 3*f. Let q = f - -60. Factor -9*r**4 - r**4 - 5*r**q - 5*r**5 - 10*r**3 + 10*r**3.
-5*r**3*(r + 1)**2
Suppose -1/3*g**4 + 7/3*g**2 + 0 - 2*g + 0*g**3 = 0. Calculate g.
-3, 0, 1, 2
Let i be (4 + -5)/((-2)/4). Factor 9*c**5 - 10*c**5 + 12*c + 45*c**3 + 4*c**5 + 39*c**i + 21*c**4.
3*c*(c + 1)**3*(c + 4)
Let l = -447 + 451. Let -29*b**2 - 28*b**l + 15*b**4 + 13*b**2 + 3*b**3 + 17*b**4 - 2*b**3 - 4*b = 0. What is b?
-2, -1/4, 0, 2
Let v(h) be the first derivative of -142/3*h**2 - 370/9*h**3 - 12 - 56/3*h - 25/12*h**4. Factor v(j).
-(j + 14)*(5*j + 2)**2/3
Suppose 39*n + 11 - 75 - 14 = 0. Let 9*q**5 + 147/4*q**4 + 45/4*q**n + 0 - 25/4*q + 181/4*q**3 = 0. Calculate q.
-5/3, -1, 0, 1/4
Let v = 2/25 - -221/50. Let p(s) = -s**3 + 4*s**2 - 44*s + 182. Let g be p(4). Let 12*d + v*d**2 + g = 0. What is d?
-2, -2/3
Let p = 725181/13 + -55783. Factor 6/13 + p*r**2 + 8/13*r.
2*(r + 1)*(r + 3)/13
Let i(t) be the third derivative of -912673*t**6/75 - 9409*t**5/25 - 97*t**4/20 - t**3/30 - 878*t**2. Factor i(s).
-(194*s + 1)**3/5
Let c be (-4)/99*(1 - (-30)/(-12)). Let d(v) be the first derivative of -2/11*v**2 + 17 + c*v**3 + 0*v + 1/22*v**4. Find j, given that d(j) = 0.
-2, 0, 1
Let u(d) be the first derivative of d**3/3 - 357*d**2/2 + 1412*d - 3492. Factor u(f).
(f - 353)*(f - 4)
Let y be -2*(2 + -3)*2. Let h(c) be the second derivative of 1/3*c**y + 0*c**2 - 2/15*c**3 + 0 + 12*c - 9/25*c**5 - 4/105*c**7 + 14/75*c**6. Factor h(n).
-4*n*(n - 1)**3*(2*n - 1)/5
Suppose 5*m = -21 + 76. Suppose -1 = 5*d - m. Let 7*x**2 + 3*x**2 - d*x**2 - 8*x**4 - 4*x + 4*x**5 + 0*x**2 = 0. What is x?
-1, 0, 1
Let x = -155 - -156. Let g(r) = r**2 + 2. Let u(t) = -2*t**3 + 12*t**2 - 8*t - 28. Let y(b) = x*u(b) + 2*g(b). Factor y(k).
-2*(k - 6)*(k - 2)*(k + 1)
Let f(y) be the third derivative of -7/20*y**7 - 81*y**3 + 549/4*y**4 - 35*y + 0 - 427/40*y**6 - 3469/40*y**5 + 2*y**2. Factor f(u).
-3*(u + 9)**2*(7*u - 2)**2/2
Let q = 1607 + -297296/185. Let v = 223/185 + q. Solve 0*f**3 - 6/5*f**2 - 3/5*f**5 + 0 + 3/5*f + v*f**4 = 0 for f.
-1, 0, 1
Let q(y) be the first derivative of -12 - 25*y - 2*y**2 + 0*y**3 + 1/12*y**4. Let p(f) be the first derivative of q(f). Let p(z) = 0. What is z?
-2, 2
Let v be 5/(-60)*831512/(-55). Let q = 1260 - v. Factor 2/5*t**2 + q + 2/15*t**3 + 2/5*t.
2*(t + 1)**3/15
Let q = -879/299 + 7349/2093. Factor 1/7*u + 3/7*u**5 + 4/7*u**4 + 2/7 - q*u**3 - 6/7*u**2.
(u - 1)*(u + 1)**3*(3*u - 2)/7
Let l(g) be the first derivative of g**8/672 + g**7/70 + 3*g**6/80 + g**5/30 + g**2/2 + 13*g + 248. Let c(j) be the second derivative of l(j). Factor c(k).
k**2*(k + 1)**2*(k + 4)/2
Let v(u) = -2*u**2 - 14*u + 5. Let m(i) = -i**2 + i. Let x(q) = -5*m(q) - v(q). Let l(p) = 6*p**2 + 9*p - 5. Let f(c) = -5*l(c) + 4*x(c). Factor f(b).
-(b + 5)*(2*b - 1)
Let l(x) be the first derivative of x**4/20 + 19*x**3/15 + 17*x**2/5 + 63. Factor l(b).
b*(b + 2)*(b + 17)/5
Let z be 18 + (-40)/10 + -10. Let k(c) be the second derivative of -12*c**3 + 27/2*c**4 + 0 + 21*c + z*c**2. Suppose k(v) = 0. What is v?
2/9
Suppose -4*w = w - 15. Suppose 32 = w*m - 25. What is x in 15*x + m*x**3 - 16*x**3 + 2*x**2 + 6 + 10*x**2 = 0?
-2, -1
Let r be ((-52)/(-14))/((-34)/119). Let u be r/((-416)/60)*6/3. Find k, g