 3*n. Let x(c) be the second derivative of q(c). Factor x(j).
-5*(j + 1)*(j + 28)/3
Let v(j) be the first derivative of 4*j**3/9 + 20*j**2/3 - 44*j/3 + 714. Solve v(p) = 0.
-11, 1
Let j(z) = 6*z**3 + 185*z**2 + 212*z - 154. Let t(y) = y**3 + 37*y**2 + 42*y - 28. Let f(r) = 6*j(r) - 33*t(r). Factor f(l).
3*l*(l - 38)*(l + 1)
Suppose -21*j + 42 = -19*j. Suppose -3*d + l + 1077 = 0, -d - j = 2*l - 387. What is x in -3 - 43*x**4 - 38*x**4 - 160*x - 472*x**2 - 21 - d*x**3 + 8 = 0?
-2, -2/9
Let o(r) = -3*r**4 + r**2 + 11*r + 2. Let t(c) = -12*c**4 - 192*c**3 - 1380*c**2 - 2169*c - 1002. Let i(b) = 3*o(b) - t(b). Determine x so that i(x) = 0.
-56, -6, -1
Factor -1323*p**2 - 5347*p - 1329 - 4542*p + 11865*p + 3*p**3 - 4631*p.
3*(p - 443)*(p + 1)**2
Let h(c) be the third derivative of -2*c**7/105 - c**6/3 + 17*c**5/15 + 11*c**4 - 5*c**2 + 134. Factor h(l).
-4*l*(l - 3)*(l + 2)*(l + 11)
Let -250/7*r**2 + 6/7*r**3 - 456/7 + 848/7*r = 0. Calculate r.
2/3, 3, 38
Let d(p) be the second derivative of -24*p + 7/8*p**2 + 1/3*p**3 + 1/48*p**4 + 1. Factor d(r).
(r + 1)*(r + 7)/4
Factor 8*m**2 - 34*m - 5*m**2 - 4*m**2 - 59*m - 198 + 4*m**2.
3*(m - 33)*(m + 2)
Solve 2633*q**2 - 466*q**3 + 727*q**2 - 2125*q + 867 - 2539*q**2 + 865*q**2 - q**5 + 39*q**4 = 0.
1, 3, 17
Let c(g) be the third derivative of -g**7/84 - 17*g**6/48 - 5*g**5/8 + 85*g**4/48 + 20*g**3/3 + 1983*g**2. Suppose c(i) = 0. What is i?
-16, -1, 1
Let q(d) = 6*d**3 - 499*d**2 + 1030*d - 502. Let n(p) = 20*p**3 - 1496*p**2 + 3092*p - 1504. Let x(k) = 5*n(k) - 16*q(k). Factor x(t).
4*(t - 1)**2*(t + 128)
Let s be ((-7)/(-189)*3)/(54/(-45) - 4458/(-3690)). Factor -13*q**2 - s + 1/3*q**3 - 27*q.
(q - 41)*(q + 1)**2/3
Let m(h) be the third derivative of -3*h + 1/270*h**5 + 0 + 1/54*h**4 + 51*h**2 + 0*h**3. Factor m(f).
2*f*(f + 2)/9
Let z = 2/194789 + 447819893/1753101. Let c = z - 255. Factor -2/9*b**3 + c*b**2 + 2/9*b - 4/9.
-2*(b - 2)*(b - 1)*(b + 1)/9
Let s(b) be the second derivative of -b**9/3780 - b**8/1680 + b**7/630 + b**6/180 + 33*b**4/4 - 69*b. Let m(d) be the third derivative of s(d). Factor m(k).
-4*k*(k - 1)*(k + 1)**2
Let z(g) = 15*g**2 + g - 19. Let s be z(4). Factor -2*h + 227*h**2 + 10*h - s*h**2 - 10.
2*(h - 1)*(h + 5)
Let g = 702 - 695. Let f(o) = 6*o**2 - 77*o - 15. Let l(k) = 12*k**2 - 156*k - 31. Let v(b) = g*f(b) - 3*l(b). Factor v(i).
(i - 12)*(6*i + 1)
Suppose 3*b - 3*i = 4*b - 2, 0 = -4*b + 5*i - 60. Let m be b/90 - 2/(-18) - 0. Find k such that -12/11*k + m + 2/11*k**2 = 0.
0, 6
Suppose -4*u = -3*u - 48. Suppose u = 2*n + 4*n. Solve -n*o**3 + 2*o**4 + 2*o**5 + 4*o**2 - 4*o**2 - 4*o**2 - 4*o**2 = 0.
-2, -1, 0, 2
Suppose 3*z = 4*m, 6*z + 51*m = 46*m. What is g in 21/5*g**2 - 3/5*g**3 + z - 18/5*g = 0?
0, 1, 6
Let v(t) be the second derivative of -t**9/13608 + t**8/7560 + t**7/1890 - t**3/3 + 9*t**2 - 4*t + 9. Let r(i) be the second derivative of v(i). Factor r(f).
-2*f**3*(f - 2)*(f + 1)/9
Let y = -6279/3193777 - -1/2501. Let c = y + 19171/10216. Find r, given that 0 - 3/8*r**3 - 9/4*r + c*r**2 = 0.
0, 2, 3
Let v(s) be the third derivative of 1/15*s**5 - 13 + 7*s**2 + 0*s + 80/3*s**3 - 7/3*s**4. Factor v(o).
4*(o - 10)*(o - 4)
Let g(q) = -q**2 - 2*q + 1. Let a = 182 + -181. Let i(b) = 6*b**3 + 15*b**2 + 9*b + 12. Let v(s) = a*i(s) - 6*g(s). Factor v(t).
3*(t + 1)*(t + 2)*(2*t + 1)
Let d = 97171 + -97171. Factor 12/7 + d*x - 3/7*x**2.
-3*(x - 2)*(x + 2)/7
Let p(x) = 44*x**3 - 76*x**2 - 134*x + 216. Let j(d) = 13*d**3 - 25*d**2 - 45*d + 72. Let k(r) = -10*j(r) + 3*p(r). Determine i so that k(i) = 0.
-6, 1
Let l = 2575 - 2575. Let v(n) be the second derivative of -1/25*n**5 + 1/12*n**4 + 0*n**2 - 1/15*n**3 + 1/150*n**6 + l - 12*n. Factor v(z).
z*(z - 2)*(z - 1)**2/5
Let w(l) be the first derivative of -5/4*l**4 - 25/3*l**3 + 0*l + 15*l**2 + 29. Factor w(a).
-5*a*(a - 1)*(a + 6)
Let i(a) = 7*a**3 - 129*a**2 + 1269*a - 1129. Let g(m) = -22*m**3 + 378*m**2 - 3806*m + 3390. Let b(h) = -3*g(h) - 10*i(h). Factor b(q).
-4*(q - 28)*(q - 10)*(q - 1)
Let m be (6/9*39)/1. Let d(v) = -7*v + 59. Let s be d(8). Let 2*u**2 - 8 - s*u + m*u**2 - 17*u = 0. What is u?
-2/7, 1
Let k(n) be the first derivative of 5*n**2 - 2*n - 14/3*n**3 + 3/2*n**4 + 29. Factor k(b).
2*(b - 1)**2*(3*b - 1)
Let y = -5876 - -88142/15. Let v(b) be the second derivative of -1/21*b**7 + 0*b**5 + 0*b**2 + y*b**6 + 0 + 8*b + 1/3*b**3 - 1/3*b**4. Factor v(s).
-2*s*(s - 1)**3*(s + 1)
Let s = -82436297/1373 + 60041. Let x = s + 232045/2746. Solve 1/2*i**2 + 13*i + x = 0 for i.
-13
Let b be (-273)/(-224) + (-7)/6. Let q(a) be the second derivative of 0*a**2 + 0 - b*a**4 - 1/240*a**6 - 1/40*a**5 - a - 1/24*a**3. Factor q(x).
-x*(x + 1)**2*(x + 2)/8
Let s(b) be the third derivative of b**5/150 - 8*b**4/15 + 112*b**3/15 + 3*b**2 - 1346*b. Factor s(p).
2*(p - 28)*(p - 4)/5
Let i(g) be the third derivative of -8/3*g**4 - 1/30*g**6 - 7/15*g**5 - 40*g**2 + 0*g + 0 - 8*g**3. Solve i(w) = 0 for w.
-3, -2
Let o(k) be the first derivative of -5/12*k**2 - 4*k - 140 + 1/18*k**3. Factor o(s).
(s - 8)*(s + 3)/6
Let g(b) = -17*b - 134. Let h be g(-9). Suppose -5*v + 2 = -v - 2*z, -2*v = 5*z - h. Determine x, given that -4/7*x**v - 5/7 - 3*x = 0.
-5, -1/4
Let n(q) be the second derivative of -13*q**4/20 + 5*q**3/2 + 57*q**2/5 - 4273*q. Factor n(k).
-3*(k + 1)*(13*k - 38)/5
Let j = 8501 - 8501. Factor 1/10*r**4 + 1/5*r**3 + 0 + 0*r + j*r**2.
r**3*(r + 2)/10
Let p be (-1)/(5/(-100)*(-5)/(-8)). Find j, given that -p*j + 116*j + 5*j**3 - 4*j + 85*j**2 = 0.
-16, -1, 0
Let i(q) be the first derivative of -q**5/40 + 11*q**3/24 + 9*q**2/8 + q + 1063. Factor i(s).
-(s - 4)*(s + 1)**2*(s + 2)/8
Let r(n) be the third derivative of n**7/42 - 7*n**6/24 + 11*n**5/12 - 25*n**4/24 - 34*n**2 + n - 19. Suppose r(t) = 0. What is t?
0, 1, 5
Let a be (1 - 35/(-3))/((-3)/9). Let x = a + 86. Let -4*z**2 + x*z - 12 - 20*z**3 + 21*z**3 - 11*z**2 + 76 = 0. Calculate z.
-1, 8
Let l(s) = s**4 - 2*s**2 - 1. Let a(o) = -15*o**4 + 160*o**3 - 295*o**2 - 4400*o + 1530. Let r(j) = a(j) + 30*l(j). Solve r(p) = 0.
-10, -6, 1/3, 5
Let w(b) be the second derivative of -b**6/75 - 6*b**5 - 199*b**4/10 - 298*b**3/15 + 302*b + 2. Factor w(l).
-2*l*(l + 1)**2*(l + 298)/5
Let u = 338 - 345. Let r(y) = 24*y**3 - 187*y**2 + 600*y + 2007. Let s(x) = 11*x**3 - 93*x**2 + 300*x + 1003. Let l(o) = u*s(o) + 3*r(o). Factor l(z).
-5*(z - 10)**2*(z + 2)
Factor 32*t**2 + 89 - 120*t**2 + 344*t + 27 + 76*t**2.
-4*(t - 29)*(3*t + 1)
Suppose 0 = 3*v - 2*p - 23, 0 = 5*p + 18 + 2. Suppose 0 = v*x - 6 - 4. Factor 10*h**3 - 14*h**2 - 18*h + 4*h**x + 5*h**2 - h**2 - 2*h**4.
-2*h*(h - 3)**2*(h + 1)
Let h = 81785 + -81785. Factor -12*c**2 + 108*c + h + 1/3*c**3.
c*(c - 18)**2/3
Let y(p) be the second derivative of p**4/96 + 23*p**3/48 - 35*p**2/4 + 13*p + 102. Factor y(i).
(i - 5)*(i + 28)/8
Let l(k) = -5*k**2 + 166*k + 191. Let c(n) = -2*n**2 - n + 11. Let s(t) = 10*c(t) - 5*l(t). Solve s(z) = 0 for z.
-1, 169
Let t(l) = 23072*l - 438364. Let d be t(19). Factor 6*r**2 - 243 + 108*r - 1/3*r**d - 4*r**3.
-(r - 3)**2*(r + 9)**2/3
Let x(m) be the third derivative of m**6/200 + 13*m**5/30 - 11*m**4/15 - 119*m**2 - 3. Determine p so that x(p) = 0.
-44, 0, 2/3
Let h(n) be the first derivative of 2*n**3/15 + 104*n**2/5 + 408*n/5 - 772. Factor h(w).
2*(w + 2)*(w + 102)/5
Let k(l) be the second derivative of l**7/15 + 82*l**6/75 + 23*l**5/25 - 52*l**4/15 - 53*l**3/15 + 22*l**2/5 + 720*l. Suppose k(p) = 0. What is p?
-11, -1, 2/7, 1
Let w be (6/7)/((-1)/(-42)). Solve -135 - w*g**5 - 92*g**2 - 196*g**3 - 148*g**4 + 135 - 8*g = 0.
-2, -1, -1/9, 0
Let a be 6 - (16132/1036 + ((-39)/3 - (-4 - -1))). Factor 24/7*k**4 - 54/7*k**3 - a*k**5 + 48/7*k**2 - 15/7*k + 0.
-3*k*(k - 5)*(k - 1)**3/7
Let s(z) be the second derivative of z**4/9 - 218*z**3/9 - 380*z**2 - 4336*z. Let s(g) = 0. What is g?
-5, 114
Determine t, given that 954/5*t - 1932/5 + 6/5*t**2 = 0.
-161, 2
Find t, given that -4*t**2 + 34*t**4 - 157032*t**3 + 156948*t**3 + 112*t + 0*t - 4*t**2 - 2*t**5 = 0.
-1, 0, 2, 14
Let z be -4 + 12 - 12/2. Let r = -7074/35 - -1012/5. Factor -12/7*j**2 - 5/7 + z*j + r*j**3 + 1/7*j**4.
(j - 1)**3*(j + 5)/7
Let p(y) = -5*y**2 - 127*y - 544. Let b(u) = 17*u - 1. Let h(g) = -4*b(g) + p(g). Find w, given that h(w) = 0.
-36, -3
Suppose -806