*i - 3*p + 8*p, p + 8 = 2*i. Let w(t) = i*b(t) + s*h(t). Factor w(k).
-4*(k - 1)*(k + 1)
Let b(g) be the first derivative of -g**4/8 - 62*g**3/3 - 896*g**2 + 8192*g + 588. Solve b(j) = 0.
-64, 4
Let n(l) be the second derivative of l**7/14 + 27*l**6/10 - 9*l**5/20 - 83*l**4/4 - 27*l**3 + 7*l - 66. Let n(c) = 0. What is c?
-27, -1, 0, 2
Let u(i) = -i**3 + 2*i**2 + 13*i - 37. Let h be u(3). Let f be (-364)/(-208)*(-66)/h. Solve 7/2*t**4 - 33/2*t + f*t**3 + 5 - 17/2*t**2 = 0.
-5, -1, 2/7, 1
Let c(u) be the third derivative of u**7/42 + 167*u**6/24 + 6715*u**5/12 - 36125*u**4/8 - 2173*u**2. Factor c(x).
5*x*(x - 3)*(x + 85)**2
Let r(x) be the third derivative of x**7/595 + 65*x**6/204 + 4427*x**5/255 + 225*x**4/17 - 1944*x**3/17 - 85*x**2 + 15*x. Find s, given that r(s) = 0.
-54, -1, 2/3
Let j(r) = -23*r**2 - 537*r - 2320. Let l(k) = -36*k**2 - 804*k - 3480. Let q(d) = -14*j(d) + 9*l(d). What is c in q(c) = 0?
-4, 145
Let j = 8/37337 - -111995/74674. Factor 21/2*g - 9*g**2 - j*g**3 + 0.
-3*g*(g - 1)*(g + 7)/2
Let g(b) be the first derivative of -b**4/5 - 4*b**3 - 54*b**2/5 - 52*b/5 + 875. Factor g(j).
-4*(j + 1)**2*(j + 13)/5
Let b = 11 + -6. Suppose -70 = -5*g + l, -b*g + 5*l = -27 - 23. Suppose g*q + 4*q**3 - 4 - 39*q + 4*q**2 + 20*q = 0. What is q?
-1, 1
Let k(b) = 9*b**5 + 25*b**4 + 76*b**3 + 58*b**2 - 2. Let v(d) = -93*d**5 - 249*d**4 - 762*d**3 - 579*d**2 + 21. Let r(h) = 21*k(h) + 2*v(h). Factor r(w).
3*w**2*(w + 2)**2*(w + 5)
Let x be -10*(342/12540)/(-1*3)*(-10)/(-5). Let 0 - x*n - 7/11*n**2 - 3/11*n**3 = 0. What is n?
-2, -1/3, 0
Factor -g**3 + 61*g**2 + 15*g - 72*g - 175*g**2 - 447*g + 4*g**3.
3*g*(g - 42)*(g + 4)
Let o be ((-8)/(-20))/((-4)/(-50)). Suppose -o*f**4 + 0*f**4 + 4*f**4 + 30*f**3 - 160*f - 4*f**4 = 0. Calculate f.
-2, 0, 4
Let p be 1*((-10)/45 - (-68)/306). Factor p + 3/7*w + 1/7*w**2.
w*(w + 3)/7
Let t(v) be the second derivative of v**4/15 + 2*v**3/15 - 544*v**2/5 + 24*v + 7. Factor t(d).
4*(d - 16)*(d + 17)/5
Let c be 14 + 0 - (-152 + 164). Let f(i) be the second derivative of -1/30*i**4 + 0 - 2/5*i**2 - c*i + 1/5*i**3. Solve f(l) = 0.
1, 2
Let i(z) be the first derivative of -2/15*z**5 + 0*z - 3/4*z**4 - 11/18*z**3 + 2/9*z**6 - 24 - 1/6*z**2. Determine l, given that i(l) = 0.
-1/2, 0, 2
Let y be 46/112 + 2/(-7). Let i be 5154/552 + -9 + (-4)/46. Factor -1/8*n**5 + 1/8*n**4 + 1/8 + i*n**3 - 1/4*n**2 - y*n.
-(n - 1)**3*(n + 1)**2/8
Let g(l) = -8*l**4 + 189*l**3 - 1134*l**2 + 973*l - 5. Let s(x) = -4*x**4 + 95*x**3 - 566*x**2 + 487*x - 3. Let t(d) = -3*g(d) + 5*s(d). Factor t(w).
4*w*(w - 11)**2*(w - 1)
Let y(g) be the second derivative of -g**2/2 - 4*g + 1. Let r(p) = 4*p**2 - 92*p + 98. Let d(l) = r(l) + 10*y(l). Factor d(x).
4*(x - 22)*(x - 1)
Let d(y) = -2*y**3 + 148*y**2 + 2. Let h be d(74). Let 0*p - 3/2*p**4 + 2*p**3 + 0 + h*p**2 = 0. What is p?
-2/3, 0, 2
Let o(u) be the second derivative of -u**7/357 + 2*u**6/255 - u**4/51 + u**3/51 - 2610*u. Solve o(r) = 0.
-1, 0, 1
Let p(v) = 68*v**2 - 9*v - 59. Let t = -403 - -406. Let a(n) = 68*n**2 - 10*n - 58. Let g(w) = t*a(w) - 2*p(w). Factor g(y).
4*(y - 1)*(17*y + 14)
Let i = -408386 + 408389. Factor 5/3*v - 1 - 1/3*v**i - 1/3*v**2.
-(v - 1)**2*(v + 3)/3
Let k(r) = -27*r - 1482. Let d be k(-55). Let z(u) be the first derivative of 9/4*u**4 + 5 + 0*u - 2*u**d + 1/2*u**2. Let z(n) = 0. Calculate n.
0, 1/3
Suppose -15*z - 168 = 147. Let w = -11 - z. Factor 2*p**2 + 8*p**3 + 6*p**4 + 10*p**2 - w*p**4.
-4*p**2*(p - 3)*(p + 1)
Determine l, given that 3528 - 117*l**3 + 3409*l**2 - 1302*l - 3292*l**2 + 114*l**3 = 0.
4, 14, 21
Let j(q) be the first derivative of -10*q**6/3 - 88*q**5/5 + 57*q**4 + 664*q**3/3 - 488*q**2 - 480*q + 1004. Determine i, given that j(i) = 0.
-5, -3, -2/5, 2
Let b(d) be the first derivative of -d**5 + 305*d**4/2 + 3155*d**3/3 + 1270*d**2 - 1476. Suppose b(j) = 0. What is j?
-4, -1, 0, 127
Let y be ((-407)/(-39) - 1) + (-142 - -133). Let m(d) be the third derivative of 0 + 0*d + 21/65*d**5 - 27/260*d**6 + y*d**4 + 8/39*d**3 - 25*d**2. Factor m(x).
-2*(x - 2)*(9*x + 2)**2/13
Factor -75*i - 190960/3*i**3 + 38720/3*i**4 - 4385*i**2 + 0.
5*i*(i - 5)*(88*i + 3)**2/3
Let g(j) be the third derivative of -1/175*j**7 - 14*j**2 + 0 + 1/100*j**6 + j + 1/25*j**5 - 1/40*j**4 - 1/5*j**3 - 1/560*j**8. Solve g(z) = 0.
-2, -1, 1
Let v = 30181/3 - 10059. Let -4/3*z**2 + 4/3 - 4/3*z + v*z**3 = 0. What is z?
-1, 1
Let b(p) = -2*p**2 + 61*p + 178. Let q(a) = 21*a + 56. Let i(s) = -2*b(s) + 7*q(s). Factor i(z).
(z + 4)*(4*z + 9)
Suppose 5*d - 44 = -4*b, b + 4*d = 7*d + 11. Let m(i) be the first derivative of 0*i**3 + 3/28*i**4 + 0*i - 3/14*i**2 + b. Factor m(g).
3*g*(g - 1)*(g + 1)/7
Let -3/2*u**4 + 0 - 30*u + 57/2*u**2 + 3*u**3 = 0. What is u?
-4, 0, 1, 5
Suppose -5*p + 7*p - 4 = 5*s, p - 32 = -5*s. Factor -1/2*g**3 - 5/2*g**2 - g + s.
-(g - 1)*(g + 2)*(g + 4)/2
Let i be 513/1539*(0 + 0). Let x(y) be the second derivative of i*y**3 + 3/20*y**5 - 1/60*y**6 + 11*y + 0*y**2 - 3/8*y**4 + 0. Let x(h) = 0. What is h?
0, 3
Let x(f) = -f**4 + 43*f**3 - 4595*f**2 + 4547*f. Let b(i) = 3*i**4 - 44*i**3 + 4595*i**2 - 4546*i. Let c(j) = -3*b(j) - 4*x(j). Factor c(t).
-5*t*(t - 26)*(t - 1)*(t + 35)
What is j in -2/11*j**2 - 5861888/11 - 6848/11*j = 0?
-1712
Let o(n) = 7*n + 44. Let b be o(-6). Factor 12 + 4985*k**2 + b*k**3 - 14*k - 4985*k**2.
2*(k - 2)*(k - 1)*(k + 3)
Let j be 143/66 - 6/36. Let n be (3/((-9)/3))/(-2). Factor -7/4 + 7/4*t**j + 1/2*t - n*t**3.
-(t - 1)*(t + 1)*(2*t - 7)/4
Let z(d) = -d**3 - 43*d**2 - 218*d + 26. Let k be z(-6). Factor 1250/3 - 100/3*u + 2/3*u**k.
2*(u - 25)**2/3
Let t(o) = -2*o**2 + 70*o - 58. Let g be t(34). Let m(x) be the second derivative of -150*x**2 + x + 0 + g*x**3 - 1/4*x**4. Factor m(w).
-3*(w - 10)**2
Let o(h) = 2*h**3 + 11*h**2 - 10*h - 13. Let i(z) = -4*z - 1. Let m(k) = -5*i(k) + o(k). Factor m(t).
(t + 2)*(t + 4)*(2*t - 1)
Suppose 5*c + 4*m = 4, m + 7977 = 4*c + 7978. Let u = 19 + -19. Determine g, given that c*g + u*g**2 + 6/7*g**5 - 2/7*g**4 + 0*g**3 + 0 = 0.
0, 1/3
Determine f so that -2522/3*f**2 - 1184/3 - 2992/3*f - 94/3*f**4 - 2/3*f**5 - 806/3*f**3 = 0.
-37, -4, -1
Suppose 4*y = -3*o + 91, 2*o = -y - 0*o + 19. Factor 16 + 21*l**5 + 3*l**3 + 17*l**3 - 4*l**4 + 4*l**2 - 32*l - y*l**5.
-4*(l - 1)**3*(l + 2)**2
Let g(t) be the third derivative of -t**7/84 - 821*t**6/24 - 677317*t**5/24 - 1120665*t**4/4 - 1117935*t**3 + 2134*t**2. Factor g(i).
-5*(i + 2)**2*(i + 819)**2/2
Find m such that -14981 - 6*m**4 - 14602 - 4712*m + 2*m**4 + 3756*m**2 - 928*m**3 + 31471 = 0.
-236, 1, 2
Let u(s) be the third derivative of -s**6/240 - 7*s**5/30 - 49*s**4/12 - 728*s**2. Factor u(j).
-j*(j + 14)**2/2
Let r(x) be the third derivative of x**8/4480 - x**7/1680 - 3*x**4/8 - x**3/6 + 13*x**2. Let z(c) be the second derivative of r(c). Let z(i) = 0. Calculate i.
0, 1
Let g be 20/9 + (-4)/18. Let v(c) = -5*c**3 - 33*c**2 + 115*c + 63. Let n be v(-9). What is m in 2/7*m**g + n + 0*m = 0?
0
Let p(u) be the second derivative of u**4/3 - 4*u**3/3 - 30*u**2 + 442*u. What is s in p(s) = 0?
-3, 5
Let w(v) be the first derivative of v**8/336 + v**7/56 + 50*v**3/3 + v**2 - 52. Let m(r) be the third derivative of w(r). Factor m(y).
5*y**3*(y + 3)
Suppose -31*y = -26*y - 3*b - 22, -5 = -5*b. Let o(m) be the first derivative of 9 + 2/5*m**3 + 0*m + 12/25*m**y + 1/10*m**6 + 0*m**2 + 3/4*m**4. Factor o(q).
3*q**2*(q + 1)**2*(q + 2)/5
Let -b**2 - 1356*b + 2651 + 7*b**2 + 605 - 264*b - 10*b**2 = 0. What is b?
-407, 2
Let o be (0 - (-12)/(-3)) + (-22333)/(-437). Let v = o - 47. Determine x, given that -12/19 + v*x**2 - 2/19*x = 0.
-2, 3
Let m(f) = -f**3 + 26*f**2 + 546*f - 1033. Let s be m(-15). Factor -1/5*h**s + 14/5 - 13/5*h.
-(h - 1)*(h + 14)/5
Let j(r) = -r**3 + 50*r**2 + 345*r - 21. Let l(k) = k**3 - 50*k**2 - 342*k + 14. Let o(w) = 2*j(w) + 3*l(w). Factor o(x).
x*(x - 56)*(x + 6)
Let c(p) = 14*p**4 - 16*p**3 - 14*p**2 + 206*p + 120. Let f(y) = y**4 + 2*y**3 - 5*y**2 + y. Let t(m) = -c(m) + 10*f(m). Factor t(j).
-4*(j - 6)*(j - 5)*(j + 1)**2
Let u(h) = -7*h**2 + 9*h + 2. Let v be u(3). Let n be (-72)/v - 6/51. Factor -7/6*j**3 + 1/3*j**n + 0 + 0*j - 2/3*j**4.
-j**2*(j + 2)*(4*j - 1)/6
Let j(v) be the third derivative of -v**9/10080 + v**7/840 - v**5/80 + v**4/3 - 14*v