= 12*g**5 + 171*g**4 + 27*g**3 - 156*g**2 - 27. Let k(h) = 2*i(h) + 27*q(h). Factor k(z).
-3*z**2*(z - 1)*(z + 2)**2
Determine m so that -2 + 125/4*m**3 - 19/4*m**4 - 15/4*m**5 - 141/4*m**2 + 29/2*m = 0.
-4, 1/3, 2/5, 1
Let w be -8 - 1 - 2172/(-240). Let x(f) be the first derivative of -1/5*f**3 + 0*f**2 - 10 - w*f**4 + 4/5*f. Factor x(d).
-(d - 1)*(d + 2)**2/5
Suppose -5*k - 15 = -60. Let u = k - 6. Factor -5*f**4 + 9*f**3 + f - f - 7*f**2 + 2*f - 2*f**5 + u*f**5.
f*(f - 2)*(f - 1)**3
Let s(x) = -5*x**4 - 23*x**3 - 17*x**2 + 19*x + 18. Let r(l) = 36*l**4 + 162*l**3 + 120*l**2 - 132*l - 126. Let k(v) = 2*r(v) + 15*s(v). Factor k(d).
-3*(d - 1)*(d + 1)**2*(d + 6)
Suppose -2*x + 3*q - 9 = -28, 5*q + 29 = 2*x. Factor 2 + 4 - i**3 - 8*i**3 + 40*i**2 - 24*i**x + 31*i.
-(i - 3)*(i + 1)*(9*i + 2)
Let n be ((-6)/21)/(2/(-28)). What is h in -109*h**2 + 10 - h - n*h + 104*h**2 = 0?
-2, 1
Let u = 1593 - 3185/2. Find f such that u*f**3 - 7/2*f**2 - 6 + 8*f = 0.
2, 3
Let g be ((-55)/(-495))/(4/18). Let g - 1/4*j**3 - 1/2*j**2 + 1/4*j = 0. What is j?
-2, -1, 1
Suppose 0*w - 2*w = -104. Factor -55*x - 7*x**2 - 4*x**4 + w*x + 15*x**3 - x**2.
-x*(x - 3)*(x - 1)*(4*x + 1)
Let z(v) be the second derivative of v**5/120 - v**4/8 + 3*v**3/4 + 45*v**2/2 + 4*v - 4. Let c(r) be the first derivative of z(r). Factor c(t).
(t - 3)**2/2
Let a(t) be the first derivative of -t**3/9 - 53*t**2 - 8427*t + 350. Factor a(d).
-(d + 159)**2/3
Let j(l) be the third derivative of -l**8/13440 + l**6/1440 - l**4/192 - 11*l**3/2 + 50*l**2. Let r(k) be the first derivative of j(k). Factor r(v).
-(v - 1)**2*(v + 1)**2/8
Factor 0*z - 20/9*z**3 - 56/9*z**2 + 0 + 4/9*z**4.
4*z**2*(z - 7)*(z + 2)/9
Let m be (-1)/3 - ((-66)/36 - -1). Suppose 6 = 5*p - 4. Let -m*l + l**p + 0 = 0. What is l?
0, 1/2
Let j(d) be the third derivative of -40*d**2 + 0 + 0*d + 13/960*d**6 + 3/64*d**4 - 1/24*d**3 + 1/20*d**5. Factor j(y).
(y + 1)**2*(13*y - 2)/8
Let t(r) be the third derivative of -r**9/25920 - r**8/20160 + r**7/2160 + r**6/720 - 2*r**5/5 + 9*r**2. Let x(a) be the third derivative of t(a). Factor x(m).
-(m - 1)*(m + 1)*(7*m + 3)/3
Let k(l) = 3*l**2 + 5*l - 6. Let u(f) = 16*f**2 + 24*f - 33. Let b(d) = -11*k(d) + 2*u(d). Factor b(y).
-y*(y + 7)
Let x(t) be the third derivative of -1/150*t**6 + 0*t + 34*t**2 - 11/120*t**4 + 0 + 13/300*t**5 + 1/15*t**3. Determine d, given that x(d) = 0.
1/4, 1, 2
Let g(p) be the first derivative of p**4 + 188*p**3/3 + 182*p**2 + 180*p - 443. Factor g(y).
4*(y + 1)**2*(y + 45)
Let a(p) be the third derivative of -p**7/840 + p**6/480 + p**5/240 - p**4/96 - 88*p**2. Factor a(l).
-l*(l - 1)**2*(l + 1)/4
Suppose -119 = 7*u - 140. Let j(r) be the second derivative of 0 + 1/20*r**4 + u*r + 1/10*r**3 + 0*r**2. Factor j(x).
3*x*(x + 1)/5
Let f(m) be the third derivative of -m**5/30 + 11*m**4/6 + 23*m**3/3 + 4*m**2 - 12. Factor f(t).
-2*(t - 23)*(t + 1)
Find w such that -4*w**2 + 18 - 5*w**4 + 88*w**3 - 9*w**4 + 2*w**5 - 30*w - 60*w**3 = 0.
-1, 1, 3
Let h(o) be the third derivative of -o**8/224 - 16*o**7/35 - 361*o**6/20 - 326*o**5 - 2300*o**4 - 8000*o**3 + 2*o**2 + 74*o. Let h(d) = 0. What is d?
-20, -2
Let j(v) be the second derivative of 0 + 3/20*v**5 - 16*v - 1/2*v**3 + 1/10*v**6 + 3*v**2 - 3/4*v**4. Factor j(n).
3*(n - 1)**2*(n + 1)*(n + 2)
Suppose 126 - 24 = 51*m. Let l be (-6)/(-18) + (-2)/(-6). Solve -2*y - l*y**m + 0 = 0 for y.
-3, 0
Let x(s) be the first derivative of 4*s**5/15 - s**4/3 - 234. Factor x(t).
4*t**3*(t - 1)/3
Let a(v) be the second derivative of 5*v + 35/36*v**4 + 5/3*v**2 - 5/2*v**3 + 0. Find c such that a(c) = 0.
2/7, 1
Let m(l) be the third derivative of l**6/480 + l**5/120 - l**4/96 - l**3/12 - 26*l**2. Find z such that m(z) = 0.
-2, -1, 1
Let m be 4/(-8) + (22/(-12) - (-260)/52). Factor 16/15 + 6/5*w**3 + 4/5*w**2 - m*w.
2*(w + 2)*(3*w - 2)**2/15
Let w be -3 + -1 + 804/(-4). Let k = w - -205. Solve 1/3*i**2 + 0*i + 0 - 1/3*i**4 + k*i**3 = 0.
-1, 0, 1
Let f(v) = -236*v + 4486. Let p be f(19). Factor -2 + 32/3*t - 32/3*t**p.
-2*(4*t - 3)*(4*t - 1)/3
Let m = -29 + 31. Suppose 2 = 3*h - m*h. Factor -y**5 + 2*y**3 + 0*y**4 - h*y**5 + 5*y**5 + 4*y**4.
2*y**3*(y + 1)**2
Let p be 2/48*(-192)/(-896). Let x(t) be the third derivative of 0*t**3 - 3/20*t**6 - 8*t**2 + 0 + 2/35*t**7 + 1/5*t**5 + 0*t - 1/8*t**4 - p*t**8. Factor x(n).
-3*n*(n - 1)**4
Let k be ((-2)/(-68))/((-276)/(-7038)). Let g be (0 - 5/(-2)) + -1. Factor -k*j**2 - 3/4 + g*j.
-3*(j - 1)**2/4
Let c be 8/56 - (-110)/14. Let n(a) = -2*a + 18. Let x be n(c). Factor 0*i + 0 + 2/3*i**x + 1/3*i**3.
i**2*(i + 2)/3
Let x(w) be the first derivative of -w**5/35 + 3*w**4/14 - 13*w**3/21 + 6*w**2/7 - 4*w/7 - 536. Factor x(z).
-(z - 2)**2*(z - 1)**2/7
Let w(j) be the second derivative of -3*j**5/140 + j**3/14 + 2*j - 19. Solve w(b) = 0 for b.
-1, 0, 1
Factor 1/3*d**3 + 1/3*d**2 - 1/3*d + 0 - 1/3*d**4.
-d*(d - 1)**2*(d + 1)/3
Factor -3*b**2 + 2*b**3 - 36 + 21*b**2 - 22*b - 9*b**2 + 7*b**2.
2*(b - 2)*(b + 1)*(b + 9)
Let t(r) be the first derivative of -2/15*r**5 + 2/9*r**3 - 1/6*r**4 + 1/9*r**6 + 0*r + 0*r**2 - 19. Factor t(m).
2*m**2*(m - 1)**2*(m + 1)/3
Let h(j) be the first derivative of -11 - 5/24*j**4 - 7/12*j**2 - 1/3*j - 1/30*j**5 - 1/2*j**3. Factor h(o).
-(o + 1)**3*(o + 2)/6
Let i be ((-1)/4)/((-7)/(-28)). Let l be (1*i/7)/((-24)/84). Factor -3/2*a + 1 + l*a**2.
(a - 2)*(a - 1)/2
Let m = -165 + 165. Let g(n) be the second derivative of m + 0*n**4 - 1/3*n**2 + 2/9*n**3 - 1/15*n**5 + 2*n + 1/45*n**6. Factor g(x).
2*(x - 1)**3*(x + 1)/3
Suppose 2*b - 5*b = 2*w - 5, -5*w + 5*b = 0. Let d(s) = -s**4 - 4*s**3 - 2*s - 5. Let r(t) = -t**3 - 1. Let p(c) = w*d(c) - 6*r(c). Factor p(n).
-(n - 1)**3*(n + 1)
Let t(d) be the first derivative of d**4/18 - 14*d**3/27 - 17*d**2/9 - 2*d + 992. Factor t(s).
2*(s - 9)*(s + 1)**2/9
Let c = 3103 - 3100. Factor -2/3*f - f**2 + 0*f**c + 0 + 1/3*f**4.
f*(f - 2)*(f + 1)**2/3
Factor 7 + 49*o + o + 84 + 2*o**2 - 11 + 3*o**2.
5*(o + 2)*(o + 8)
Let h(c) be the second derivative of 2*c**7/63 - 13*c**6/30 + 29*c**5/30 - 5*c**4/12 - 4*c**3/9 - 66*c. What is o in h(o) = 0?
-1/4, 0, 1, 8
Let n(k) be the second derivative of k**6/72 - k**5/12 - 5*k**4/8 - k**3 + 3*k. Let b(o) be the second derivative of n(o). Solve b(c) = 0.
-1, 3
Let j(m) = -10*m**2 - 1 - m**3 - m + 0*m**2 + 9*m**2. Let k(l) = -14*l**3 - 16*l**2 + 8*l - 2. Let t(p) = 6*j(p) - k(p). Find v such that t(v) = 0.
-2, -1/4, 1
Let a = 29 + -24. Determine s, given that 26*s + 8 + 48*s**2 + 8*s**3 - 4*s**a - 16*s - 8*s**4 - 16*s**2 + 18*s = 0.
-1, 2
Let u(o) be the second derivative of -5*o**5/14 + 55*o**4/42 + 8*o**3/3 + 12*o**2/7 + 25*o. Factor u(n).
-2*(n - 3)*(5*n + 2)**2/7
Let w = 227/819 + -5/91. Let a be ((-1)/(-1))/(11/33). Suppose -2/9*h**a + 0 + 4/9*h**2 - w*h = 0. What is h?
0, 1
Let r(v) = v**2 - 238*v - 7444. Let h be r(-28). Factor 2/3*a**4 + h*a**2 - 16/3*a**3 + 80/3*a + 50/3.
2*(a - 5)**2*(a + 1)**2/3
Factor -6/7*z - 32/7*z**3 - 8/7*z**4 + 0 - 26/7*z**2.
-2*z*(z + 3)*(2*z + 1)**2/7
Let b(k) be the third derivative of k**6/40 - 3*k**5/10 - 61*k**4/8 + 33*k**3 + 459*k**2. Suppose b(t) = 0. Calculate t.
-6, 1, 11
Factor -576600*a**2 + 3160*a**3 + 59582000*a - 6*a**4 - 680*a**3 + 8*a**4 - 2308802500 - 6*a**4.
-4*(a - 155)**4
Let c = -1 + 36. Let a = c + -31. Solve 55*g + 15*g**2 + g**2 + 4*g**3 - 4*g**4 + a - 41*g - 2*g**5 = 0.
-1, 2
Let j(g) = 7*g**4 + 32*g**3 + 50*g**2 - 35*g - 66. Let o(u) = -22*u**4 - 96*u**3 - 148*u**2 + 106*u + 200. Let f(x) = 10*j(x) + 3*o(x). Let f(a) = 0. What is a?
-5, -3, -1, 1
Let y(f) be the second derivative of -2*f**6/75 + f**5/25 + f**4/3 + 2*f**3/5 - 146*f. Factor y(x).
-4*x*(x - 3)*(x + 1)**2/5
Let s(f) = 18*f - 13*f - 2*f**3 - 4 - 5*f - 6*f**2 - 8*f. Let l be s(-2). Determine b, given that b**l + 1/2*b**5 + 1/2*b**3 + 0*b**2 + 0*b + 0 = 0.
-1, 0
Factor 3/5*f**3 - 2/5*f**2 + 1/5*f**4 - 8/5 - 12/5*f.
(f - 2)*(f + 1)*(f + 2)**2/5
Let d be (28/14)/((-2)/(-3)). Solve 4 + 2*v + v - d*v**2 + 1 - 3*v**3 - 2 = 0 for v.
-1, 1
Let y(f) be the second derivative of -f**6/1800 + f**4/30 + f**3/2 + 12*f. Let i(l) be the second derivative of y(l). Factor i(m).
-(m - 2)*(m + 2)/5
Let l = 4938 - 14813/3. Suppose -2/9 + 1/9*h**3 - l*h + 0*h**2 = 0. What is h?
-1, 2
Let f = -33 + 36. Solve 75*i**5 -