**3 + o**2 + 7*o - 2. Let j(l) = -7*l**3 + 5*l**2 - 27*l - 30. Let p(i) = -j(i) - 5*u(i). Factor p(b).
2*(b - 5)*(b - 2)*(b + 2)
Let c be 11/(-11)*6 - 546. Let q be (-23)/(c/16) + 1/(-6). Factor -s**3 + s - 1/2*s**2 + 0 + q*s**4.
s*(s - 2)*(s - 1)*(s + 1)/2
Let n(r) = -20*r + 22. Let s(o) = -4*o**2 + 1. Let v be s(-1). Let a be n(v). Factor -9*l**2 - 90*l - 4*l**3 - 3*l**2 + a*l.
-4*l*(l + 1)*(l + 2)
Suppose 58*j - 64 = 50*j. Let r be (-2)/(j/3)*72/(-297). Suppose 0*b - 2/11*b**5 + 2/11*b**2 - r*b**4 + 2/11*b**3 + 0 = 0. Calculate b.
-1, 0, 1
Let f(m) = -m**2 - 6*m + 1. Let x(s) = -s**2 - 69*s + 214. Let u(n) = 2*f(n) - x(n). What is b in u(b) = 0?
4, 53
Suppose -y = -5, -3*y + 23 = -c + 2*y. Factor -64*h**5 + 0*h**3 - 2*h + 3*h + 65*h**5 - c*h**3.
h*(h - 1)**2*(h + 1)**2
Let l = -70976 + 354881/5. Factor -1/5*s**3 - 1/5 + 1/5*s + l*s**2.
-(s - 1)**2*(s + 1)/5
Let m be -4*(-81)/144*98/441. Factor -1/2*n**4 + 0 + 0*n**3 + 0*n + m*n**2.
-n**2*(n - 1)*(n + 1)/2
Let s be (-8)/8490*8/(16/(-3)). Let g = s + 3394/1415. Factor 4/5*w**5 + 8/5*w**2 + 24/5*w**3 - 4*w**4 - 28/5*w + g.
4*(w - 3)*(w - 1)**3*(w + 1)/5
Let j(o) = 16*o**3 + 388*o**2 + 8204*o - 38392. Let i(h) = h**3 + h**2 + 14*h + 2. Let r(c) = 12*i(c) - j(c). Find b such that r(b) = 0.
-49, 4
Suppose 39/7*o**3 - 6*o + 3*o**4 - 24/7 + 3/7*o**2 + 3/7*o**5 = 0. Calculate o.
-4, -2, -1, 1
Factor -58/11*r**2 + 0 + 244/11*r.
-2*r*(29*r - 122)/11
Let v(a) be the second derivative of a**6/165 + a**5/110 - 85*a**4/66 + 25*a**3/3 - 7819*a. Find c, given that v(c) = 0.
-11, 0, 5
Let k(x) be the third derivative of -x**6/720 - 61*x**5/18 + 2443*x**4/144 - 611*x**3/18 + x**2 + 17*x - 3. Factor k(y).
-(y - 1)**2*(y + 1222)/6
Let h be 595/51 - (-1)/3. Let u be 3/h + (-3)/12. Let u*x**2 - 6*x - 7*x + 2*x**2 + 14*x - 3*x**3 = 0. What is x?
-1/3, 0, 1
Factor 165*j + 9*j - 14*j + 51*j**2 + 21 + 149*j - 3.
3*(j + 6)*(17*j + 1)
Factor 1072/7 + 76*x - 2/7*x**2.
-2*(x - 268)*(x + 2)/7
Let k(r) = -r**2 - 4*r + 416. Let y be k(-22). Let g(q) be the first derivative of -y + 0*q - 4/3*q**3 - 4*q**2. Factor g(d).
-4*d*(d + 2)
Let s be 33/5 - -42*(-75)/875. Suppose -5/3*r**4 - 10*r**s - 25/3*r**2 + 0 + 20*r = 0. Calculate r.
-4, -3, 0, 1
Let g = -8548 - -8552. Let z(d) be the third derivative of 0*d**3 + 0*d**g + 2/315*d**7 + 1/504*d**8 + 0 + 1/180*d**6 + 0*d**5 - 17*d**2 + 0*d. Factor z(h).
2*h**3*(h + 1)**2/3
Let w(y) = -y**3 - 18*y**2 - 21*y - 56. Let s be w(-17). Suppose -s*h + 211 - 175 = 0. Let -1/3*z**h + 0 + 0*z**2 + 1/3*z = 0. What is z?
-1, 0, 1
Suppose 252 = -5*c + 47*c. Let l be (4 - c)*10/(-4). Factor -4/3*f**4 - 8/9*f - 8/3*f**2 - 26/9*f**3 - 2/9*f**l + 0.
-2*f*(f + 1)**2*(f + 2)**2/9
Let f(v) = v**3 + 4*v**2 - 3*v + 1. Let i(n) = -4*n**3 - 94*n**2 + 722*n - 1542. Let p(x) = -12*f(x) - 2*i(x). Factor p(q).
-4*(q - 16)**2*(q - 3)
Let l = 1504 - 178977/119. Let y = l - -18/119. Factor 1/7 + 0*q**2 - 2/7*q**3 + 2/7*q - y*q**4.
-(q - 1)*(q + 1)**3/7
Let z be ((-84)/15)/(48/(-20) - -2). Suppose -2*s - 9 = 3*w, 3*s = w - 0*w + z. Determine x, given that -21*x**s - 3*x**5 + 17*x**3 + 2*x + 5*x**5 = 0.
-1, 0, 1
Let d be (-6)/(-70) - 21*(-28)/2940. Determine p, given that 0 - d*p**3 - 36/7*p**2 - 162/7*p = 0.
-9, 0
Let i(o) be the first derivative of 4*o**3 + 4*o**2 - 2*o**2 - 3*o**2 - 20*o - 76 - 6*o**2 + 3*o**2. What is b in i(b) = 0?
-1, 5/3
Factor 16218*q**3 - 718 + 4743*q**4 + 3060*q**4 + 9039*q**2 + 730 + 636*q.
3*(q + 1)**2*(51*q + 2)**2
Find t, given that 73*t**2 - 25*t - 13*t - 74*t**2 = 0.
-38, 0
Let o(m) be the second derivative of m**6/120 + 41*m**5/160 + 29*m**4/16 - 119*m**3/48 - 49*m**2/8 - 2500*m. Solve o(t) = 0 for t.
-14, -7, -1/2, 1
Let a(g) = 6*g**2 - 42 + g**2 + 46 - g**3. Let n be a(7). Find m, given that 1 + 24*m + 18 + 4*m**2 + n - 3 = 0.
-5, -1
Let q(z) = 44*z**2 + 161*z + 158. Let r(c) = 62*c**2 + 241*c + 237. Let n(o) = -7*q(o) + 5*r(o). Let g be n(-38). Factor b**g - 13/5*b**2 - 6/5*b + 0.
b*(b - 3)*(5*b + 2)/5
Let w(j) be the second derivative of j**6/540 - 11*j**5/135 - j**4/108 + 22*j**3/27 + 90*j**2 - 3*j - 2. Let p(s) be the first derivative of w(s). Factor p(z).
2*(z - 22)*(z - 1)*(z + 1)/9
Suppose -2/11*f**4 - 172/11*f**3 - 1440/11*f**2 - 4212/11*f - 378 = 0. What is f?
-77, -3
Let m(l) be the second derivative of -l**5/60 + 61*l**4/36 + 257*l**3/18 + 65*l**2/2 + 3*l + 132. Factor m(i).
-(i - 65)*(i + 1)*(i + 3)/3
Let h be 1 + (-5)/4 + 2111940/144. Factor 14720 + 2*f**3 - h + 54*f + 16*f**2 + 2*f**2.
2*(f + 3)**3
Factor 11952/11 - 98/11*g**3 + 146468/11*g**2 - 83672/11*g.
-2*(g - 1494)*(7*g - 2)**2/11
Let x = -812905/42 - -19355. Let y(q) be the second derivative of 0*q**3 + 1/2*q**5 + 0*q**2 + 0 + 1/6*q**6 + 26*q + 0*q**4 - x*q**7. Factor y(p).
-5*p**3*(p - 2)*(p + 1)
Factor -112/3*t - 100/3*t**3 - 152/3*t**2 - 4/3*t**5 - 32/3 - 32/3*t**4.
-4*(t + 1)**2*(t + 2)**3/3
Factor 1/4*w - 1/4*w**3 + 5/4*w**2 - 5/4.
-(w - 5)*(w - 1)*(w + 1)/4
Suppose 8 - 30*g**4 - 5*g**5 - 38 + 60*g**2 - 3*g**3 + 45*g - 23*g + 13*g**3 - 27*g = 0. Calculate g.
-6, -1, 1
Let w be (82 + -88)/(3/(-2)). Let q(l) be the first derivative of -3/20*l**w - 1/15*l**3 + 1/25*l**5 + 3/10*l**2 - 16 + 0*l. Factor q(h).
h*(h - 3)*(h - 1)*(h + 1)/5
Let h be 33/(-55)*3/(-36). Let z(b) be the second derivative of 0 - 3/10*b**3 + 0*b**2 + h*b**4 - 10*b. Factor z(i).
3*i*(i - 3)/5
Let h = -414746 + 414748. Factor -6/11*u**4 + 0*u + 0 + 12/11*u**h - 6/11*u**3.
-6*u**2*(u - 1)*(u + 2)/11
Suppose -2*o + 2*w - 10 = 0, -8740*o + 2*w = -8742*o + 18. Solve -4/7*z**o + 0 - 48/7*z = 0.
-12, 0
Let t be (-6)/(-14) - ((-1)/(-3))/((-553)/1501). Let p(v) be the first derivative of 14/5*v**5 + 9 + 0*v**2 + t*v**6 + v**4 + 0*v - 2/3*v**3. Factor p(l).
2*l**2*(l + 1)**2*(4*l - 1)
Let u(m) be the first derivative of -4/5*m**5 - 24*m**2 + 4*m**4 - 36*m - 78 + 8/3*m**3. Let u(y) = 0. Calculate y.
-1, 3
Let h(k) = 8*k**2 - 984*k - 1998. Let b be h(125). Factor 1/4*w**b - 1 + 0*w.
(w - 2)*(w + 2)/4
Let l(j) be the third derivative of j**5/80 - 253*j**4/16 + 64009*j**3/8 + 15*j**2 + 44*j. Factor l(v).
3*(v - 253)**2/4
Let a be 342/(-190) + 3793/1035 - 12/138. Determine j so that -4/9*j**4 - 8/9*j - a*j**3 + 0 - 20/9*j**2 = 0.
-2, -1, 0
Let x(y) be the first derivative of -y**4/78 + 2*y**3/13 - 9*y**2/13 + 71*y + 78. Let g(i) be the first derivative of x(i). Factor g(d).
-2*(d - 3)**2/13
Let d(l) be the second derivative of l**6/30 - l**5/15 + 17*l**2 + 52*l. Let k(h) be the first derivative of d(h). Determine i, given that k(i) = 0.
0, 1
Let s(y) be the second derivative of -y**6/30 - y**5/2 - 2*y**4/3 + 5*y**3/3 + 9*y**2/2 + 4*y - 12. Factor s(d).
-(d - 1)*(d + 1)**2*(d + 9)
Let f(k) be the second derivative of -42/13*k**2 - 154*k + 0 + 43/39*k**3 - 1/78*k**4. Factor f(y).
-2*(y - 42)*(y - 1)/13
Let g(l) be the second derivative of -l**4/4 - 5*l**3/2 + 264*l**2 + 247*l + 1. Let g(m) = 0. Calculate m.
-16, 11
Let f = 315082 + -945244/3. Suppose 0*y + 2*y = 0. Factor 0 - f*p**2 + y*p.
-2*p**2/3
Let d = -33 + 38. Factor w + 10 - d*w**2 + 0*w**3 + 14*w + 2*w**3 - 5*w**4 - 17*w**3.
-5*(w - 1)*(w + 1)**2*(w + 2)
Solve 2 + 7/9*g - 1/9*g**2 = 0.
-2, 9
Let p(f) be the second derivative of f**4/3 + 48*f**3 - 450*f**2 - 81*f - 8. Factor p(r).
4*(r - 3)*(r + 75)
Let l = -3265629/7 - -466519. Suppose -2*j = -3 - 3. Factor -2/7*z**j + 2/7*z - l*z**2 + 4/7.
-2*(z - 1)*(z + 1)*(z + 2)/7
Let s(r) be the second derivative of -r**4/66 - 35*r**3/11 + 1233*r. Find x, given that s(x) = 0.
-105, 0
Let m(i) be the first derivative of 68*i**3/9 + 146*i**2/3 + 80*i/3 - 1780. Factor m(d).
4*(d + 4)*(17*d + 5)/3
Let y = -763186/5 + 152638. Let l be (-3)/(-5) + (-5)/25. Factor -2/5*u**2 + 0*u - l*u**4 + y*u**3 + 0.
-2*u**2*(u - 1)**2/5
Let q be 4640/400 - (-4 + 2). Let d(l) be the first derivative of 28*l**4 - 4*l + 15 + 8/3*l**6 + 16*l**2 - q*l**5 - 88/3*l**3. Solve d(z) = 0.
1/4, 1
Let j(y) be the second derivative of y**5/110 - 131*y**4/66 - 4*y**3 + 57*y + 10. Factor j(r).
2*r*(r - 132)*(r + 1)/11
Suppose 388/11*n**2 - 8/11*n**4 + 0 + 96/11*n + 14/11*n**3 = 0. What is n?
-6, -1/4, 0, 8
Find x, given that 55/2*x**3 + 0 - 15*x + 25/2*x**2 + 15/2*x**5 - 65/2*x**4 = 0.
-2/3, 0, 1, 3
Let c be (1/24)/((-33)/(-99)). Suppose -9*k = 4*k - 3*k. Factor k*f + 1/8*f**2 - c.
(f - 