 -3*p**2 - 63*p + 54. Let l(x) = 3*x**2 + 67*x - 54. Let n = 794 + -798. Let c(f) = n*j(f) - 3*l(f). Factor c(g).
3*(g - 1)*(g + 18)
Let j(b) be the first derivative of -1/15*b**3 - 2809/5*b + 8 - 53/5*b**2. Factor j(p).
-(p + 53)**2/5
Let p(m) = -40*m**3 + 58*m**2 - 332*m + 278. Let r(x) = -299*x**3 + 407*x**2 - 2323*x + 1945. Let v(d) = 15*p(d) - 2*r(d). Factor v(k).
-2*(k - 20)*(k - 7)*(k - 1)
Factor -646416/7 + 3216/7*f - 4/7*f**2.
-4*(f - 402)**2/7
Let a be ((-310)/279)/(((-72)/243)/(3/9)). Find n, given that 1/4*n**5 - 3/2*n + 5/4*n**2 + 5/4*n**3 - a*n**4 + 0 = 0.
-1, 0, 1, 2, 3
Let z = -85/18 - -704/9. Find b, given that -z*b**2 - 2 - 21*b - 343/4*b**3 = 0.
-2/7
Let u(i) = 41*i - 39. Let h be u(1). Let j(d) be the first derivative of 0*d**3 - 4/85*d**5 - 25 + 1/34*d**4 + 0*d + 1/51*d**6 + 0*d**h. Factor j(a).
2*a**3*(a - 1)**2/17
Let z(n) be the second derivative of n**6/60 + n**5/15 + n**4/12 + 48*n**2 - 2*n + 7. Let w(q) be the first derivative of z(q). What is v in w(v) = 0?
-1, 0
Let u(o) = -o**2 + 13*o - 58. Let m(x) = 2*x**2 - 25*x + 114. Let q(c) = -3*m(c) - 7*u(c). Solve q(y) = 0 for y.
8
Let n = 21/68 - 45/476. Let s(f) be the first derivative of -4/7*f**3 + 3 + 12/35*f**5 + 3/14*f**2 - n*f**6 + 3/14*f**4 + 0*f. Suppose s(u) = 0. What is u?
-1, 0, 1/3, 1
Factor 32/3 - 200/3*z - 17/2*z**2.
-(z + 8)*(51*z - 8)/6
Let w(q) be the second derivative of 5/12*q**3 + 12*q - 5/16*q**4 + 4*q**2 + 0 - 1/6*q**5. Let s(l) be the first derivative of w(l). Factor s(j).
-5*(j + 1)*(4*j - 1)/2
Find v, given that -38/7*v - 18/7*v**2 + 8 = 0.
-28/9, 1
Let j(b) be the first derivative of 4*b**3/5 + 73*b**2/5 - 986*b/5 - 9689. Factor j(i).
2*(i + 17)*(6*i - 29)/5
Let k = -8053/30 - -537/2. Let y(r) be the second derivative of 0 + k*r**5 + 0*r**2 - 1/18*r**3 - 1/12*r**4 - 21*r. Factor y(j).
j*(j - 1)*(4*j + 1)/3
Let j(c) be the second derivative of -289*c**5/90 + 1343*c**4/54 + 167*c**3/9 + 5*c**2 + 40*c - 12. Determine l, given that j(l) = 0.
-3/17, 5
Let a(o) be the third derivative of -o**6/360 - 23*o**5/180 + 25*o**4/36 - 11*o**2 - 79*o. Solve a(h) = 0 for h.
-25, 0, 2
Let w(v) be the first derivative of -v**5/5 + 20*v**4/3 - 200*v**3/3 + 20*v - 19. Let k(x) be the first derivative of w(x). Determine f so that k(f) = 0.
0, 10
Let h = -239 + 242. Factor -b**2 - b**h + 63 - 64 + b + 2*b**2.
-(b - 1)**2*(b + 1)
Determine q so that -5/2*q + 0 - 3*q**2 - 1/2*q**3 = 0.
-5, -1, 0
Let y be (1510/2 - -1)*(540274/(-3885))/(-298). What is f in -84/5*f - 1/5*f**2 - y = 0?
-42
Let v(b) be the second derivative of -3*b**5/20 - 17*b**4/4 - 31*b**3/2 - 45*b**2/2 + 1306*b. Suppose v(y) = 0. Calculate y.
-15, -1
Let q(o) = o**2 - 12*o - 11. Let p be q(13). Determine d so that 196 + 8*d - 10*d + 0*d + 30*d + d**p = 0.
-14
Let n = 346 - 181. Factor -39*g**2 + 11*g**2 - n*g + 148*g**3 - 149*g**3 + 450.
-(g - 2)*(g + 15)**2
Let g(u) = u + 1. Let n be g(-6). Let h(c) = -c**2 - 6*c - 3. Let k be h(n). Let -k*w + 2 - 16*w**2 + 17*w**2 - w = 0. Calculate w.
1, 2
Let x(u) = -u**2. Let t(k) = 10*k**2 + 180*k + 1620. Suppose 4*m - 7*c + 11*c = -24, 4*c = -4. Let f(q) = m*x(q) - t(q). Factor f(z).
-5*(z + 18)**2
Let u(i) be the third derivative of i**8/1680 - 3*i**7/350 - 11*i**6/200 - 7*i**5/60 - i**4/10 + 1933*i**2 + 1. Factor u(m).
m*(m - 12)*(m + 1)**3/5
Let x(g) be the second derivative of -g**9/16632 - g**8/3080 + g**7/462 - 41*g**3/3 - 15*g. Let r(f) be the second derivative of x(f). Factor r(s).
-2*s**3*(s - 2)*(s + 5)/11
Let w(n) = 2*n**2 + 121*n + 60. Let h be w(-60). Let l(y) be the second derivative of 23*y + 7/4*y**5 - 10*y**3 + h - 10*y**2 + 15/4*y**4. Factor l(k).
5*(k - 1)*(k + 2)*(7*k + 2)
Let h(l) be the third derivative of l**6/60 + 11*l**5/210 - 5*l**4/14 - 52*l**2 + 5. Let h(a) = 0. What is a?
-3, 0, 10/7
Let b = -1981 - -1984. Let q(z) be the second derivative of -1/40*z**5 + 1/12*z**b + 0 + 14*z - 1/120*z**6 + 0*z**2 + 1/48*z**4. Factor q(u).
-u*(u - 1)*(u + 1)*(u + 2)/4
Suppose -26 = -2*p + 5*j, -22*j + 26*j = 4*p - 28. Solve -1241*s**3 + 2485*s**3 + 125 - 1239*s**p - 45*s**2 + 75*s = 0 for s.
-1, 5
Let d(h) be the third derivative of 1/3*h**4 + 0 + 0*h**3 - 1/60*h**5 + 0*h - 25*h**2. Let d(i) = 0. What is i?
0, 8
Let -706056*w + 3*w**2 - 1890 + 1412466*w - 706227*w = 0. Calculate w.
-70, 9
Let v(r) be the third derivative of -13/6*r**4 + 2 + 1/6*r**5 + 1/20*r**6 + 0*r - 143*r**2 + 8/3*r**3. Factor v(w).
2*(w - 2)*(w + 4)*(3*w - 1)
Factor -3/4*p**3 - 195/4*p**2 + 195/4 + 3/4*p.
-3*(p - 1)*(p + 1)*(p + 65)/4
Let j(m) = 5*m**2 + 500*m + 12500. Let h be 4 - (-9)/((-9)/2). Let y(v) = 20*v**2 + 2000*v + 50000. Let u(w) = h*y(w) - 9*j(w). Determine g so that u(g) = 0.
-50
Let y(k) be the first derivative of -k**4/34 - 308*k**3/51 + 155*k**2/17 - 5973. Suppose y(x) = 0. What is x?
-155, 0, 1
Let p = 713/517 - 71/1551. Suppose 0 + 2/3*k**4 + p*k**2 + 2*k**3 + 0*k = 0. Calculate k.
-2, -1, 0
Let k(q) be the third derivative of -q**6/20 - 667*q**5/30 + 223*q**4/6 - 3502*q**2. Factor k(r).
-2*r*(r + 223)*(3*r - 2)
Let g(b) = 90*b**2 - 75*b - 144. Let f(p) = -18*p**2 + 15*p + 29. Let d(n) = -21*f(n) - 4*g(n). Let u(z) = -z**3 - 1. Let h(s) = -d(s) - 3*u(s). Factor h(l).
3*(l - 4)*(l - 3)*(l + 1)
Let b(y) = -y**2 - 7*y - 7. Let o be b(-2). Let -d**2 - 5*d**2 - o*d**3 + 15*d - 18*d = 0. Calculate d.
-1, 0
Let t(d) be the first derivative of d**4/18 - d**3/3 - 4*d**2/3 + 112*d - 59. Let m(h) be the first derivative of t(h). Factor m(p).
2*(p - 4)*(p + 1)/3
Let a = -81 + 96. Factor -16*c + 36 + c**2 - a*c + 2*c**2 + 7*c.
3*(c - 6)*(c - 2)
Factor 8460*b**3 - 2630 + 47780*b**2 + 60*b**4 + 10630 + 37600*b + 345*b**4.
5*(b + 10)**2*(9*b + 4)**2
Let o(y) be the third derivative of y**6/40 - 21*y**4/8 + 10*y**3 + 2*y**2 - 325*y. Factor o(b).
3*(b - 4)*(b - 1)*(b + 5)
Let h(u) = 4*u**2 + 90*u - 46. Let g be h(-23). Let p(c) be the third derivative of g - 10*c**2 + 1/180*c**5 + 0*c - 1/24*c**4 + 1/9*c**3. Factor p(q).
(q - 2)*(q - 1)/3
Let f be (36/315)/(68/(-238) + (-3)/(-7)). Suppose f*t**2 - 8/5 + 4/5*t = 0. What is t?
-2, 1
Let d(b) = 5*b**3 + 58*b**2 + 29*b. Let f(i) = 2*i**2 + 2*i. Let p(n) = -2*d(n) + 22*f(n). Factor p(c).
-2*c*(c + 7)*(5*c + 1)
Let q(v) = -5*v + 1. Let g be q(1). Let z be (-22)/g - 15/(-40)*-4. Factor -22*p**3 - 2*p**4 + 6*p**2 - 2*p**4 - 4*p**z.
-2*p**2*(p + 3)*(4*p - 1)
Let q be (0 - -1 - 2)*(-3 - -43). Let n(i) = -7*i**2 + 12*i - 4. Let y(g) = g**2 - g + 1. Let x(r) = q*y(r) - 5*n(r). Solve x(c) = 0 for c.
-2
Let w(j) = j**3 + 12*j**2 + 8*j - 3. Let v be w(-11). Let a = -27 + v. What is s in 5*s**a + 171*s**2 - s**3 + 1372 + 588*s - 87*s**2 = 0?
-7
Suppose -32 = -117*c + 101*c. Let t(d) be the second derivative of 0*d**5 + 1/36*d**4 - 1/90*d**6 - 11*d + 0 + 0*d**3 + 0*d**c. Determine v so that t(v) = 0.
-1, 0, 1
Let y(d) be the third derivative of d**5/210 + 5*d**4/21 - 23*d**3/7 - d**2 + 1100. Find l, given that y(l) = 0.
-23, 3
Let j(s) = s - 4. Let u be (4 - 2)/(-2)*-6. Let x be j(u). Find r, given that 23*r**x + 27*r**2 + 196 + 60*r - 178 = 0.
-3/5
Let i(c) be the third derivative of c**5/150 + 98*c**4/15 + 38416*c**3/15 + 1666*c**2. Factor i(f).
2*(f + 196)**2/5
Suppose 3*q - 5*g - 8 - 10 = 0, 4*q - g = 7. Let b be (22/(-44))/(q/(-12)). Factor -3*v + 9*v**3 - 14*v**2 - 2 + 16*v - b*v**2.
(v - 1)**2*(9*v - 2)
Let l(b) be the second derivative of b**6/6 - b**5 - 55*b**4/4 + 10*b**3/3 + 80*b**2 + 257*b - 5. Solve l(a) = 0 for a.
-4, -1, 1, 8
Let r(k) = k**3 - 1 + 4*k**2 - 5172*k + 5172*k. Let i be r(-1). Factor -6/7 + 4/7*n + 2/7*n**i.
2*(n - 1)*(n + 3)/7
Let r = 9573 - 9569. Let 0 + 2/3*v**3 + r*v - 11/3*v**2 = 0. Calculate v.
0, 3/2, 4
Let q(z) be the third derivative of -z**7/105 + 3*z**6/20 + 3*z**5/2 - 27*z**4/4 - 108*z**3 + 9*z**2 - 104. What is o in q(o) = 0?
-3, 3, 12
Let v(d) be the second derivative of -d**9/3528 + 3*d**7/980 + d**6/210 - 19*d**3/3 + d**2 + 44*d + 2. Let n(u) be the second derivative of v(u). Factor n(z).
-6*z**2*(z - 2)*(z + 1)**2/7
Let j(w) be the second derivative of w**4/96 + 37*w**3/3 + 5476*w**2 - 20*w. Let j(m) = 0. What is m?
-296
Let j = 53 - 62. Let w be (-6)/j*4*(-12)/(-16). Factor 0*h**w - 18*h**2 + 2*h**3 + 48*h - 13 + 0*h**2 - 19.
2*(h - 4)**2*(h - 1)
Solve 36*u**2 - 3/7*u**3 + 9408 - 1008*u = 0.
28
S