2 - f + 1. Let v(b) = -16*c(b) - n(b). Factor v(g).
4*(g - 2)*(g - 1)**2*(g + 1)
Let -22*l**2 - 512/3 + 2/3*l**3 + 192*l = 0. Calculate l.
1, 16
Let o(m) = 7*m**4 + 20*m**3 - 25*m**2. Let g(j) = 155*j**4 + 440*j**3 - 550*j**2. Let k(l) = 2*g(l) - 45*o(l). Determine h, given that k(h) = 0.
-5, 0, 1
Let z = -18/139 + 682/973. Solve 2/7*s**3 - z*s**2 + 2/7*s + 0 = 0.
0, 1
Let f be (2 - (-363)/(-180))*-3*1. Let s(i) be the second derivative of -1/4*i**4 + 0*i**3 + 2*i**2 + 0 + 5*i - f*i**5. Factor s(t).
-(t - 1)*(t + 2)**2
Factor 41*y - 1/4*y**3 - 19/2*y**2 - 42.
-(y - 2)**2*(y + 42)/4
Let h = -173 - -158. Let u be ((-8)/420*-12)/((-6)/h). Let -4/7*i - 4/7*i**2 + u*i**3 + 4/7 = 0. Calculate i.
-1, 1
Let o(h) = h - 9. Let j be o(9). Suppose -5*a + 30 = -2*s - 3*s, j = 3*a + 3*s. Factor 3*l**4 - 4*l**2 + 2*l**4 + 2*l - 4*l**a - l**4 + 2*l.
4*l*(l - 1)**2*(l + 1)
Let o(n) be the first derivative of n**6/9 - 5*n**4/6 + 4*n**2/3 + 185. Determine k, given that o(k) = 0.
-2, -1, 0, 1, 2
Let s(w) = -w**4 + 30*w**3 - 65*w**2 + 64*w - 16. Let k(o) = -82*o + 4*o**4 - 45*o - 60*o**3 - o**4 + 130*o**2 + 33. Let b(a) = -4*k(a) - 7*s(a). Factor b(y).
-5*(y - 2)**2*(y - 1)**2
Let k(w) be the second derivative of -w**5/50 - 2*w**4/5 - 7*w**3/5 - 2*w**2 - w + 30. Determine t, given that k(t) = 0.
-10, -1
Let w = -26 - -41. Let s be (-2)/(-6) - (-55)/w. What is j in 5*j**4 - 5*j**s + 2*j**2 + 5*j**3 + 3*j**4 = 0?
-1, -2/3, 0
Let w(s) be the first derivative of -s**7/735 + s**6/105 - s**5/42 + s**4/42 - 3*s**2 + 10. Let j(v) be the second derivative of w(v). Factor j(y).
-2*y*(y - 2)*(y - 1)**2/7
Suppose 5*s - 13 = -3*m, -63*s + 66*s = -2*m + 8. Let b = -136/3 - -46. Factor 2/3*l**s + b*l + 0.
2*l*(l + 1)/3
Determine k so that -46*k**2 - 26*k - 4*k**4 + 2*k**4 + 98*k**2 - 82*k**2 - 8 - 14*k**3 = 0.
-4, -1
Let k(z) = -z**3 - 4*z**2 + 6*z + 5. Let y be k(-5). Let b be 4/(-14) + y - (-112)/49. Determine o so that -14/3*o + 10*o**b + 2/3 + 8/3*o**4 - 26/3*o**3 = 0.
1/4, 1
Suppose 9*p - 32 = 31. Factor p*y**2 + 8*y**2 + y**2 - 6 - 3*y**3 + 3*y - 3*y**4 - 7*y**2.
-3*(y - 1)**2*(y + 1)*(y + 2)
Let x(l) be the second derivative of -2/45*l**5 + 1/135*l**6 - 8*l + 4/27*l**3 + 1/18*l**4 - 4/9*l**2 + 0. Solve x(q) = 0.
-1, 1, 2
Let o(k) be the first derivative of 3*k**5/5 + 25*k**4/12 - 14*k**3/3 + 4*k**2/3 - 234. Factor o(f).
f*(f - 1)*(f + 4)*(9*f - 2)/3
Let v = -216 + 865/4. Let s(z) be the second derivative of 0 - 1/48*z**4 - 4*z - v*z**2 + 1/8*z**3. What is p in s(p) = 0?
1, 2
Let c(h) = -h**3 + 14*h**2 + 3. Let i be c(14). Factor 12*p**5 - 3*p**i - 7*p**5 + 3*p**4 + 7*p**4 - 12*p**3.
5*p**3*(p - 1)*(p + 3)
Let y = 1488 + -4462/3. Find m, given that -2*m**2 - y - 2*m - 2/3*m**3 = 0.
-1
Let w(n) = -25*n**3 - 613*n**2 - 3837*n - 1440. Let f(p) = 25*p**3 + 612*p**2 + 3838*p + 1440. Let h(v) = 3*f(v) + 2*w(v). Factor h(z).
5*(z + 12)**2*(5*z + 2)
Let y(v) be the second derivative of -v**4/54 - 7*v**3/27 - 2*v**2/3 + v + 84. Factor y(n).
-2*(n + 1)*(n + 6)/9
Let h(o) be the third derivative of -o**6/30 - 53*o**5/15 + 9*o**4 - 662*o**2. Factor h(g).
-4*g*(g - 1)*(g + 54)
Let h(l) be the first derivative of 1/66*l**4 + 2/33*l**3 + 0*l**2 + 7*l + 8 - 1/110*l**5. Let u(c) be the first derivative of h(c). Factor u(o).
-2*o*(o - 2)*(o + 1)/11
Let p = 559/60 - -1/60. Let d(s) be the first derivative of 6*s**2 - 3 - p*s**3 - 2*s - 18/5*s**5 + 2/3*s**6 + 8*s**4. Solve d(m) = 0 for m.
1/2, 1
Find u, given that -24 + 2/3*u**3 - 10*u + 4/3*u**2 = 0.
-3, 4
Suppose 50/7*i + 6/7*i**2 + 16/7 = 0. Calculate i.
-8, -1/3
Let q(p) = 2*p**5 + 12*p**4 - 42*p**3 + 67*p**2 + 3*p + 3. Let d(u) = u**5 + 2*u**3 + u**2 + u + 1. Let s(l) = 3*d(l) - q(l). Factor s(f).
f**2*(f - 4)**3
Let m(o) = o**2 - 9*o + 10. Let g be m(8). Factor -z**2 - 155*z - 16 - 3*z**g + 139*z.
-4*(z + 2)**2
Let n be -2 + (0 - (2 - 3)). Let g = 3 + n. Suppose -g*c**2 - 5*c**3 + 0*c**3 - 4*c**4 + 2*c**4 = 0. Calculate c.
-2, -1/2, 0
Let a be (-6)/30*5*-6. Let s(d) be the second derivative of 1/9*d**3 + 1/6*d**2 + 0 - 11*d + 0*d**4 - 1/30*d**5 - 1/90*d**a. Let s(w) = 0. What is w?
-1, 1
Let p(j) = j**3 - 5*j**2 + 4*j + 1. Let m be p(4). Let n be (-1 + (-18)/(-2))/m. Suppose 4*h**3 + 3*h**4 - 20*h - 28*h - 48 + n*h**3 = 0. Calculate h.
-2, 2
Let q(z) be the third derivative of z**6/24 + z**5/6 - 5*z**4/24 - 5*z**3/3 - 55*z**2 + 3. Factor q(g).
5*(g - 1)*(g + 1)*(g + 2)
Solve 10/3 - 5/6*x**5 - 35/6*x**3 + 20/3*x - 25/6*x**4 + 5/6*x**2 = 0 for x.
-2, -1, 1
Solve 18/5*k**2 + 32/5 - 48/5*k - 2/5*k**3 = 0 for k.
1, 4
Let u(m) be the third derivative of 1/300*m**6 + 1/450*m**5 + 0 + 0*m - 1/60*m**4 - 12*m**2 - 1/1575*m**7 + 0*m**3. Determine h, given that u(h) = 0.
-1, 0, 1, 3
Let f(p) be the second derivative of 0*p**3 + 0*p**2 + 5*p + 1/50*p**5 - 1/150*p**6 + 0 - 1/60*p**4. Factor f(s).
-s**2*(s - 1)**2/5
Let q(h) be the third derivative of -h**8/504 + h**7/45 - h**6/60 - 19*h**5/90 + h**4/9 + 4*h**3/3 - 339*h**2. Suppose q(p) = 0. Calculate p.
-1, 1, 2, 6
Let d = -7583/5 - -1517. Suppose 1/5*l**3 - 1/5*l - d + 3/5*l**2 - 1/5*l**4 = 0. Calculate l.
-1, 1, 2
Let q(u) be the first derivative of 1/15*u**5 + 1/120*u**6 + 0*u + 1/8*u**4 + 7 + 0*u**3 + 4*u**2. Let t(a) be the second derivative of q(a). Factor t(h).
h*(h + 1)*(h + 3)
Suppose 37 = -2*c + 43. Let n(v) be the third derivative of 0*v - 1/270*v**5 - 16/27*v**c + 0 - 2/27*v**4 - 2*v**2. Factor n(t).
-2*(t + 4)**2/9
Let o(g) = -202*g + 202. Let f be o(1). Factor f*b + 9/2*b**3 - 15/2*b**4 + 0 + 3*b**2.
-3*b**2*(b - 1)*(5*b + 2)/2
Let z be -2*((-85)/30)/17. Let x(a) be the second derivative of 1/10*a**5 + z*a**3 + 0*a**2 + a + 0 + 1/3*a**4. Factor x(y).
2*y*(y + 1)**2
Let i = -31285/3 + 10429. Find f such that 2/9*f**2 - 8/9*f + i = 0.
1, 3
Let w(y) be the third derivative of y**9/1008 + y**8/560 + 20*y**3/3 + 26*y**2. Let x(t) be the first derivative of w(t). Factor x(c).
3*c**4*(c + 1)
Suppose 0*x = 4*x - 8. Suppose x*u = -2*u + 8, 2*y + 2*u = 12. Determine d so that 5*d**5 + 0*d**5 - d**2 - 8*d**2 - 20*d**y + 25*d**3 - d**2 = 0.
0, 1, 2
Suppose -3*v = 4*y - 60, -y - 20 = -2*v + 9. Suppose -6*o = -2*o - v. Solve -6*m**2 - 8 + 8*m - 3*m**4 + 16 + 5*m**4 - o*m**3 = 0.
-1, 2
Let h(c) = -2*c**2 - 53*c - 3. Let u(g) = g**2 - g - 1. Let p(b) = h(b) - 3*u(b). Let p(s) = 0. What is s?
-10, 0
Factor -81/4*k + 27/2*k**2 + 3/4*k**5 - 81/4 - 21/4*k**4 + 15/2*k**3.
3*(k - 3)**3*(k + 1)**2/4
Let l be ((-110)/33)/(-5)*(-2)/4*-1. Determine h so that 1/3 + 4/3*h - 4/3*h**3 - l*h**2 = 0.
-1, -1/4, 1
Let f(o) = 28*o**2 - 24*o + 20. Let y(w) = w**2 + w + 1. Let j(m) = m**2 + m - 1. Suppose 5*g - 7*g = 0. Let p be j(g). Let n(s) = p*f(s) + 8*y(s). Factor n(l).
-4*(l - 1)*(5*l - 3)
Let k(m) be the second derivative of 0 + 1/3*m**4 + 0*m**2 + 1/3*m**3 + 1/10*m**5 - 4*m. Find q such that k(q) = 0.
-1, 0
Let r(d) be the third derivative of 0 + 1/15*d**5 - 1/105*d**7 - 1/60*d**6 + 0*d**3 + 0*d**4 + 32*d**2 + 0*d. Factor r(o).
-2*o**2*(o - 1)*(o + 2)
Let g = -127 - 114. Let l = 244 + g. Determine b, given that 42/5*b**l + 18/5*b**2 - 3/5*b + 33/5*b**4 + 9/5*b**5 - 3/5 = 0.
-1, 1/3
Let s(l) = 2*l - 10. Let j be s(11). Factor -13 - 5*h**2 + 28 - j*h - 19.
-(h + 2)*(5*h + 2)
Let h(y) be the third derivative of -y**7/280 - y**6/160 + 3*y**5/10 - 9*y**4/8 - 639*y**2. Factor h(p).
-3*p*(p - 3)*(p - 2)*(p + 6)/4
Let u = 33/7 + -389/84. Let c(k) be the second derivative of 0*k**2 + 0 + 0*k**5 + k + 1/30*k**6 + 0*k**3 - u*k**4. Suppose c(w) = 0. What is w?
-1, 0, 1
Let p(h) = -3*h**2 - h - 2. Let x(i) = -2*i**2 - i - 18. Let j(w) = 4*p(w) - 4*x(w). Let j(v) = 0. What is v?
-4, 4
Let p(a) be the second derivative of 0 + a**5 + 0*a**2 - 5/12*a**4 + 0*a**3 + 8*a. Factor p(o).
5*o**2*(4*o - 1)
Let y(v) be the third derivative of -v**6/360 - v**5/45 - 5*v**4/72 - v**3/9 + v**2 + 12. Determine u, given that y(u) = 0.
-2, -1
Let x = 11 + -30. Let j = x - -23. Suppose -2*l**5 + 50*l**4 + 10*l**2 - 50*l**j - 3*l**5 + 15*l**3 = 0. Calculate l.
-1, 0, 2
Let z(j) be the third derivative of j**6/480 + 427*j**5/240 + 5671*j**4/12 - 11449*j**3/6 - 17*j**2 - 5*j. What is g in z(g) = 0?
-214, 1
Let y(d) be the third derivative of d**6/120 + d**5/20 - 3*d**4/8 + 11*d**3/6 - 16*d**2. Let t(o) be the first derivative of y(o). What is g 