l**3 - 176*l**2 + 3*l + 4*l**4 + 185*l**2 - l**4. Let b(o) = w*f(o) + 3*d(o). Factor b(j).
-3*j*(j + 1)**3
Suppose o = 5*b + 26, -b - 10 = 5*o + 2*b. Determine x, given that 2 - 5*x**2 - 1 - o + 10*x = 0.
0, 2
Let m be 1/((252/(-9))/4 + (-132)/(-16)). Let p(f) = -f + 1. Let u be p(-2). Factor 22/5*n**u + 0*n + 14/5*n**5 + 0 - 32/5*n**4 - m*n**2.
2*n**2*(n - 1)**2*(7*n - 2)/5
Suppose -4*l + 1 = j + l, j - l = 7. Suppose -4*p + p + j = 0. Factor 6 + b**2 - b**5 - 2*b**4 - 16*b + b**p + 2 + 10*b**3 - b**5.
-2*(b - 1)**3*(b + 2)**2
Let a(z) be the second derivative of z**6/40 - z**5/80 - 5*z**4/48 + z**3/24 + z**2/4 + 7*z - 5. Factor a(o).
(o - 1)**2*(o + 1)*(3*o + 2)/4
Let o(c) be the third derivative of 0*c - 1/525*c**7 - 30*c**2 + 0*c**3 + 0*c**6 - 1/120*c**4 + 1/150*c**5 + 0 + 1/1680*c**8. Let o(h) = 0. What is h?
-1, 0, 1
Let l(x) be the first derivative of 0*x - 9/4*x**4 + 3/5*x**5 + 6 + 0*x**3 + 6*x**2. Solve l(v) = 0.
-1, 0, 2
Let j = -2 + 8. Let z = -6 + j. Factor 23*p**4 + z*p**5 - 26*p**4 + 3*p**3 + 3*p**2 - 3*p**5.
-3*p**2*(p - 1)*(p + 1)**2
Suppose 20*j - 19*j = 2. Let y(z) = -2*z**3 - 11*z**2 - 24*z - 1. Let a(p) = -p**3 - p**2 + p - 1. Let h(w) = j*a(w) - 2*y(w). Factor h(m).
2*m*(m + 5)**2
Let n(m) be the first derivative of -1/36*m**6 + 0*m + 1/9*m**3 - 1/15*m**5 + 1/12*m**2 + 0*m**4 + 6. Find c, given that n(c) = 0.
-1, 0, 1
Suppose -5*l + 4*c = -5425, 3*l + 2*c - 5355 = -2078. Factor -l*y - 3993 - 80*y**2 - 19*y**2 + 12*y**3 - 15*y**3.
-3*(y + 11)**3
Factor 0 - 11/3*z**2 - 2*z**3 - 1/3*z**4 - 2*z.
-z*(z + 1)*(z + 2)*(z + 3)/3
Let j(w) be the third derivative of 1/13*w**3 - 1/78*w**4 + 0*w + 15*w**2 + 0 - 1/390*w**5. Find c, given that j(c) = 0.
-3, 1
Let d = 385 + -3849/10. Let q(n) be the second derivative of -2*n + 2/3*n**4 + 0 + 2*n**2 + 5/3*n**3 + d*n**5. Find w such that q(w) = 0.
-2, -1
Factor 3/5*t**2 + 9/5*t - 12/5.
3*(t - 1)*(t + 4)/5
Let y(r) be the third derivative of r**8/20160 + r**7/270 + 49*r**6/540 + r**4/4 - r**3/6 - 14*r**2. Let h(q) be the second derivative of y(q). Factor h(b).
b*(b + 14)**2/3
Suppose -2*p + 146 = -2*z + 5*z, 2*p = -z + 46. Factor 4*k + z*k**3 - k - 53*k**3 + 6 - 6*k**2.
-3*(k - 1)*(k + 1)*(k + 2)
Let w be 4/(-15)*11/(-22). Let v(p) be the first derivative of 0*p**2 + 0*p - w*p**3 - 1/10*p**4 - 2. Factor v(y).
-2*y**2*(y + 1)/5
Let p(f) be the third derivative of 5*f**8/336 - 17*f**7/42 + 67*f**6/24 + 161*f**5/12 - 490*f**4/3 - 3430*f**3/3 - 100*f**2. Solve p(x) = 0 for x.
-2, 7
Suppose -11/3*f + 11/3*f**3 - 4 - 1/3*f**4 + 13/3*f**2 = 0. Calculate f.
-1, 1, 12
Let y(v) be the third derivative of v**5/10 - 19*v**4/24 - 15*v**3/2 - 15*v**2. Let f(m) = m**2 - 4*m - 9. Let w(i) = 11*f(i) - 2*y(i). Factor w(d).
-(d + 3)**2
Suppose -12 = -18*a - 3*m, 11*a = 8*a - 4*m + 16. Let d(v) = -v**3 + 4*v**2 + 5*v + 3. Let s be d(5). Factor a*n**2 - 4/5*n**4 + 0*n + 0 - 4/5*n**s.
-4*n**3*(n + 1)/5
Suppose -3*b + 1664 = -4*u, -2*u = b - 68 - 480. Suppose 113 + b = 5*l. Factor 2*o - 2*o + 132*o**2 - l*o**2 + 1.
-(o - 1)*(o + 1)
Let p(x) = 27*x**3 - 5*x**2 - 325*x + 1136. Let c(f) = -5*f**3 + f**2 + 65*f - 227. Let a(t) = 11*c(t) + 2*p(t). Factor a(z).
-(z - 5)**2*(z + 9)
Let a(k) be the third derivative of k**7/315 + k**6/180 - k**5/30 - 5*k**4/36 - 2*k**3/9 + 167*k**2 - 2. Solve a(h) = 0.
-1, 2
Let r(g) be the first derivative of 2*g**3/27 + 2*g**2/9 + 2*g/9 + 22. Find b such that r(b) = 0.
-1
Let d be (-6)/10 - (7410/525 - 15). Determine j, given that d*j - 1/7*j**2 - 1/7 = 0.
1
Let f = 69 - 34. Factor f*o**2 - 10*o**3 - 50*o**2 + 6*o + 20 + 14*o + 5*o**4.
5*(o - 2)**2*(o + 1)**2
Let d = 2009/2605 + 15/521. Solve -d*z**3 - 8/5 + 0*z**2 + 12/5*z = 0.
-2, 1
Suppose 0 = 32*s + 11 - 75. Factor 1/2*w**3 - 1/2*w + 1 + 1/2*w**4 - 3/2*w**s.
(w - 1)**2*(w + 1)*(w + 2)/2
Suppose -46*a = -29*a - 34. Determine p, given that 2/3*p**3 - 2*p**a + 4/3*p + 0 = 0.
0, 1, 2
Let z(g) = g + 14. Let c be z(-12). Suppose -c*d - 4 = -4*d. Factor -2*u + 1 + 8*u**4 + d*u**3 - 9*u**4 + 0.
-(u - 1)**3*(u + 1)
Let n be (-330)/(-27) + 6/(-27). Let t be 9/(n/(-4)) + (-46)/(-14). Factor t*y**2 + 4/7*y + 2/7.
2*(y + 1)**2/7
Let p(n) = n**3 + 4*n**2 - 9*n - 6. Let y(c) = 4*c**2 - 3*c**2 - 28 - c + 13 + 14. Let h = -9 - -4. Let b(q) = h*p(q) + 30*y(q). Factor b(i).
-5*i*(i - 3)*(i + 1)
Factor -5/4*d**2 - 5*d + 15.
-5*(d - 2)*(d + 6)/4
Let g = 125 - 105. Let p be 5*(-8)/(-900) - (-8)/g. Factor 2/9 + p*q**2 - 4/9*q**3 - 2/9*q**5 + 2/3*q - 2/3*q**4.
-2*(q - 1)*(q + 1)**4/9
Let h(t) = -3*t**3 + 4*t**2 - t + 2. Let a(b) = -10*b**3 + 14*b**2 - 4*b + 7. Let d(v) = -4*a(v) + 14*h(v). Factor d(y).
-2*y*(y - 1)*(y + 1)
Let o(n) = n**2 + 6*n + 6. Let x be o(-6). Let r be x/9*(5 - 2). Find l such that 1/2*l**r - 1 + 1/2*l = 0.
-2, 1
Let q(c) be the first derivative of -2/7*c + 0*c**2 + 2/21*c**3 - 37. Factor q(m).
2*(m - 1)*(m + 1)/7
Let y = -1/92 - -189/460. Suppose -9*k - 5 + 23 = 0. Factor 2/5 - 4/5*b**k + y*b**4 + 0*b**3 + 0*b.
2*(b - 1)**2*(b + 1)**2/5
Let q be (1/(-2))/(6/(-24)). Let l(o) be the first derivative of 3/4*o**2 + 1/2*o**3 + q + 0*o. Factor l(f).
3*f*(f + 1)/2
Suppose -2*c = -10, -p - 431 = 2*c - c. Let i be p/(-18) + (-8)/36. Determine v so that -4*v**3 + 12 + 14*v**2 + v**3 + 0*v**2 - i*v + v**2 = 0.
1, 2
Let f(w) be the third derivative of -w**8/224 + w**7/14 - 7*w**6/80 - 9*w**5/20 + w**2 - 114. What is m in f(m) = 0?
-1, 0, 2, 9
Factor -37*c - 5*c**2 + 379 - 129 - 78*c.
-5*(c - 2)*(c + 25)
Let j(r) be the first derivative of 6*r + 1/36*r**4 + 7 + 0*r**3 - 1/6*r**2. Let t(v) be the first derivative of j(v). Solve t(f) = 0 for f.
-1, 1
Let w(b) = -3*b**3 - b**2 - 2*b - 2. Let r be w(-1). Factor 0*h**4 + 0*h**r + 0*h - 3/5*h**5 + 3/5*h**3 + 0.
-3*h**3*(h - 1)*(h + 1)/5
Let o(w) be the third derivative of 3*w**6/200 + 83*w**5/300 - 3*w**4/5 - 2*w**3/3 + 5*w**2 + 71*w. Determine k so that o(k) = 0.
-10, -2/9, 1
Let t(c) be the third derivative of -c**6/8 - c**5/3 + 85*c**4/24 + 5*c**3 - 75*c**2. Factor t(o).
-5*(o - 2)*(o + 3)*(3*o + 1)
Let d(m) be the second derivative of 125*m**6/18 - 5*m**5/2 + m**4/4 + 2*m - 14. Factor d(t).
t**2*(25*t - 3)**2/3
Let l(z) be the second derivative of -z**4/6 - 114*z**3 - 29241*z**2 - 231*z. Suppose l(r) = 0. What is r?
-171
Let s(y) be the third derivative of -y**11/498960 - y**10/75600 - 13*y**5/30 - 4*y**2. Let q(r) be the third derivative of s(r). Factor q(l).
-2*l**4*(l + 3)/3
Solve 13/4*p**3 + 1/4*p**4 + 0*p - 7/2*p**2 + 0 = 0 for p.
-14, 0, 1
Determine y so that 6*y**5 + 18*y**5 + 5*y**2 - 22*y**5 + 3*y - 5*y**4 - 5*y**3 = 0.
-1, -1/2, 0, 1, 3
Let d(f) = 29*f**3 - 36*f**2 + 15*f - 4. Let q(m) = -m**3 - m**2 + 1. Let x(j) = d(j) + 4*q(j). Let x(i) = 0. Calculate i.
0, 3/5, 1
Factor 4/3*r + 0 + 2/3*r**2.
2*r*(r + 2)/3
Let y be (-5 - -5)/(0 - -1). Solve y*v**2 + 4*v - 4*v**4 - 4*v**3 + 4*v**2 + 0*v**2 = 0.
-1, 0, 1
Let m(w) be the third derivative of -w**7/210 - 29*w**6/120 - 27*w**5/10 + 88*w**4/3 - 256*w**3/3 - 418*w**2. What is j in m(j) = 0?
-16, 1, 2
Let w(q) be the first derivative of -2*q**3/33 + 52*q**2/11 + 106*q/11 + 19. Determine h, given that w(h) = 0.
-1, 53
Suppose -2*t + 12 = 8. Let w(l) be the first derivative of -3/11*l**4 + 8/11*l + 2/55*l**5 - 12/11*l**t - 2 + 26/33*l**3. Factor w(q).
2*(q - 2)**2*(q - 1)**2/11
Let c(j) = 2*j**2 - 10*j - 45. Let k(o) = 18*o**2 - 88*o - 406. Let d(g) = -52*c(g) + 6*k(g). Factor d(x).
4*(x - 6)*(x + 4)
Factor -1 - 3*a**2 + 6 - a + 2*a**2 - 3.
-(a - 1)*(a + 2)
Let f be (-117)/(-52) + 7/(-4). Find i, given that 0 - 1/2*i**2 - f*i - 1/8*i**3 = 0.
-2, 0
Let z(a) be the second derivative of 3/7*a**4 + 1/7*a**5 + 2/3*a**3 + 4/7*a**2 + 0 + 2/105*a**6 + 2*a. Find f such that z(f) = 0.
-2, -1
Suppose 20 = 17*g - 14. Let o(x) be the second derivative of 0*x**3 + 0*x**g - 1/27*x**4 + 0 - 1/90*x**5 + 2*x. Factor o(y).
-2*y**2*(y + 2)/9
Let r(a) = -3*a**2 + 29*a + 31. Let i(c) = -c**2 + 11*c + 15. Let s(x) = -7*i(x) + 3*r(x). Factor s(h).
-2*(h - 3)*(h - 2)
Suppose -3*g + 6*g - 17 = -2*j, -2*g + 2*j - 2 = 0. Solve -13*q**g - 27 - 5*q**3 + 3*q**5 + 61*q + 2*q + 9*q**4 - 30*q**2 = 0.
-3, 1
Let x = 10 - 12. Let g = x + 5. Solve -3*y**2 + g*y**5 - 3*y**4 + 9*y**3 - 2*y**4 - 4*y**4 = 0.
0, 1
Let m = -9/3985 - -59793/7970. Factor -9/2*k**4 + 3/2*k - 3/2*k**2 + 0 