**4/2 + 25*q**3 - 55*q**2 + 55*q + 1. Let b(h) = 5*f(h) - 2*n(h). Factor b(j).
-5*(j - 5)*(j - 1)**2
Let d be 3/(-8) + (0 - (3 - (-2105)/(-600))). Factor -8/15 - d*g**2 - 8/15*g.
-2*(g + 2)**2/15
Solve -6*a**2 - 208*a + 11532 + 6*a**2 + 117*a + 3*a**2 - 281*a = 0 for a.
62
Let k(c) = 1 - 121*c + 119*c + 0 - 5*c**2 - 3*c**3. Let x be k(-4). Let -122 - j**3 - 2*j**2 + x - 3*j - j**2 = 0. Calculate j.
-1
Solve 0*p - 6/7*p**3 + 0 - 6/7*p**2 = 0.
-1, 0
Let y = 111 - 107. Let s(m) be the second derivative of -8/3*m**y + 0 + m + 0*m**3 + m**2. Suppose s(c) = 0. Calculate c.
-1/4, 1/4
Let s(r) be the first derivative of -3/14*r**2 - 2 + 1/7*r**3 - 1/28*r**4 + 1/7*r. Let s(k) = 0. Calculate k.
1
Suppose -16*f + 32 = -0. Let v(b) be the second derivative of f*b + 0 + 0*b**2 + 1/4*b**4 - 1/2*b**3. Find p, given that v(p) = 0.
0, 1
Let k be (-91)/(-39)*9/42. Let 1/2*b**2 + b + k = 0. What is b?
-1
Let f = 44 - 45. Let g be (-6 + 96/18)/(f/3). Find p, given that -1/5*p**g - 3/5*p - 2/5 = 0.
-2, -1
Let t = 484 + -482. Let h(d) be the first derivative of -5 - 3*d**3 + 3/4*d**4 - 3*d + 9/2*d**t. Let h(z) = 0. What is z?
1
Let v be (-4 - (-24)/9)/((-1)/3). Suppose 80*i**4 - 5*i**3 - 23*i**3 + 8*i - 16*i**3 - 64*i**v + 20*i**2 = 0. Calculate i.
-1/4, 0, 1, 2
Let f = 1732/2595 + -2/2595. Suppose 2 + 10/3*l**2 - 14/3*l - f*l**3 = 0. What is l?
1, 3
Let i be (-16)/12*((-546)/260 - (-6)/10). Factor 2*f + 10/3*f**i + 0.
2*f*(5*f + 3)/3
Suppose 1134 - 1146 = -2*i + z, i - 4*z = 27. Factor -36/5*r**2 - 4/5*r**4 - 28/5*r - 8/5 - 4*r**i.
-4*(r + 1)**3*(r + 2)/5
Let w(f) be the third derivative of -f**5/480 + 11*f**4/8 - 363*f**3 + 11*f**2 - 2. Factor w(q).
-(q - 132)**2/8
Find v such that 1/5*v**5 - 3/5*v**3 + 0 - 1/5*v**4 + 1/5*v**2 + 2/5*v = 0.
-1, 0, 1, 2
Let o(b) be the second derivative of b**7/11340 + b**6/3240 - b**4/4 + 11*b. Let q(p) be the third derivative of o(p). Suppose q(a) = 0. What is a?
-1, 0
Let z = 30 - 30. Suppose 4*n - 2*x = -x + 3, 5*n - x - 5 = z. Factor 4/9*y**n + 2/9*y + 2/9*y**3 + 0.
2*y*(y + 1)**2/9
Let g(r) be the first derivative of r**6/24 - 7*r**5/20 + 15*r**4/16 - 3*r**3/4 + 193. Factor g(v).
v**2*(v - 3)**2*(v - 1)/4
Let m(d) be the first derivative of -10 + 25/8*d**3 + 1/8*d + 125/32*d**4 + 15/16*d**2. Determine t so that m(t) = 0.
-1/5
Let i(p) be the first derivative of p**5 + 55*p**4/4 + 40*p**3 - 90*p**2 + 97. Factor i(d).
5*d*(d - 1)*(d + 6)**2
Let c(k) be the third derivative of k**8/896 + k**7/70 + k**6/80 - 13*k**5/80 - 37*k**4/64 - 7*k**3/8 - 4*k**2 + 52*k. Find b such that c(b) = 0.
-7, -1, 2
Let f(l) = -2*l**2 - 110*l - 1676. Let i(g) = 2*g**2 + 108*g + 1674. Let v(q) = 4*f(q) + 3*i(q). Factor v(a).
-2*(a + 29)**2
Let n be (2 + 20)/(4/5)*(-1250)/(-375). Solve -125/3*f**5 - 8/3*f + 0 + 68/3*f**2 + n*f**4 - 70*f**3 = 0 for f.
0, 2/5, 1
Let a = 46 + -46. Let p(g) be the third derivative of 1/15*g**5 - 2*g**2 + a*g**4 + 1/60*g**6 + 0*g**3 + 0 - 1/105*g**7 + 0*g. Factor p(o).
-2*o**2*(o - 2)*(o + 1)
Let m(x) be the first derivative of -x**4 + 68*x**3/3 + 36*x**2 + 109. Let m(h) = 0. What is h?
-1, 0, 18
Let p(y) = y**3 - 15*y**2 + 26*y + 2. Let k be p(2). Solve 0 + 7*l**k - 7/4*l**4 - 2*l + 9/2*l**3 - l**5 = 0 for l.
-2, 0, 1/4, 2
Let w(t) = -5 + 20*t**2 - 51*t**2 + 21*t**2. Let j(y) = -y**2 - y - 1. Let g(x) = 5*j(x) - w(x). What is z in g(z) = 0?
0, 1
Let x = -4117 - -24703/6. Factor 1/6*j + x*j**2 + 0.
j*(j + 1)/6
Let l(y) be the first derivative of 1/5*y**3 - 3/5*y + 0*y**2 + 15. Factor l(g).
3*(g - 1)*(g + 1)/5
Let g(q) be the second derivative of -q**7/6300 - q**6/450 - q**5/100 - q**4/3 - 15*q. Let x(l) be the third derivative of g(l). Suppose x(t) = 0. What is t?
-3, -1
Factor -19*s - 138*s**3 - 11*s**4 - 389*s**5 + 125*s**4 + 70*s**2 + 7*s + 355*s**5.
-2*s*(s - 1)**3*(17*s - 6)
Let v(d) be the first derivative of d**6/2 + 6*d**5 + 24*d**4 + 32*d**3 - 132. Find j such that v(j) = 0.
-4, -2, 0
Let d(m) be the first derivative of 10*m**6/3 + 3*m**5 - 75*m**4 + 380*m**3/3 + 499. Find j, given that d(j) = 0.
-19/4, 0, 2
Let n(y) = -4*y**3 + 2*y**2 + 6*y + 4. Let q(u) = u**4 + u**3 + u**2 - u + 2. Let o(x) = n(x) - 2*q(x). Factor o(h).
-2*h*(h - 1)*(h + 2)**2
Let x(k) be the third derivative of k**8/20160 - k**7/560 + k**5/60 - k**3/3 - 3*k**2 + 2. Let u(w) be the third derivative of x(w). Solve u(q) = 0 for q.
0, 9
Find g, given that 17/3 - 1/3*g - 17/3*g**2 + 1/3*g**3 = 0.
-1, 1, 17
Find f such that -20 - 750*f + 351*f + 375*f - 4*f**2 = 0.
-5, -1
Factor 5*a**2 - 15*a**2 - 16*a - 2*a**2 + 3*a**2 + 7*a**2.
-2*a*(a + 8)
Let k(s) be the first derivative of -2*s**6/15 - 12*s**5/25 + s**4 + 36*s**3/5 + 64*s**2/5 + 48*s/5 - 101. Let k(p) = 0. Calculate p.
-2, -1, 3
Let h be (-2)/4*(-8 + 2). Factor -12*f + 4*f**3 - f**3 + 15*f**2 - 11*f**h + 5*f**3.
-3*f*(f - 4)*(f - 1)
Let l(j) be the first derivative of 0*j + 32/5*j**5 - 4*j**2 - 28*j**4 - 62/3*j**3 - 33. Factor l(u).
2*u*(u - 4)*(4*u + 1)**2
Let j(s) be the first derivative of s**5/80 + 11*s**4/16 + 121*s**3/8 - 14*s**2 - s - 19. Let r(d) be the second derivative of j(d). Factor r(b).
3*(b + 11)**2/4
Factor -295/4 - 5/4*s**3 - 285/4*s**2 + 585/4*s.
-5*(s - 1)**2*(s + 59)/4
Suppose 11/2*z**2 - 450 + 7*z**3 - 210*z - 1/2*z**4 = 0. What is z?
-3, 10
Let v be (-4)/7 - (1 + 430/(-140)). Factor v*i - 3/2*i**3 - 3/2*i**2 + 0 + 3/2*i**4.
3*i*(i - 1)**2*(i + 1)/2
Let q(t) be the third derivative of 13/18*t**4 + 0 + 1/20*t**6 - 8/9*t**3 - 29*t**2 + 43/90*t**5 + 0*t. Suppose q(z) = 0. What is z?
-4, -1, 2/9
Let k(w) be the second derivative of 5*w**4/12 - 25*w**3 + 140*w**2 - 115*w. Suppose k(c) = 0. What is c?
2, 28
Let u(n) = 90*n - 5. Let i(q) = -q**2 + 90*q - 6. Let o(p) = 5*i(p) - 6*u(p). What is m in o(m) = 0?
-18, 0
Let u(o) be the third derivative of -o**7/735 - o**6/28 - 9*o**5/35 - 10*o**4/21 - 144*o**2. Solve u(j) = 0.
-10, -4, -1, 0
Let n(x) = -4*x**2 - 52*x - 95. Let d(m) = -m**2 - 17*m - 32. Let k(p) = 21*d(p) - 6*n(p). Factor k(w).
3*(w - 17)*(w + 2)
Let t = -184 + 185. Let v be ((-58)/10 - -6)*t. Suppose 3/5*h**3 - v*h**4 - 3/5*h**2 + 0 + 1/5*h = 0. What is h?
0, 1
Let c = 5 - 1. Suppose -4*y = c*n - 20, -1 - 1 = -2*n + 2*y. Determine q, given that 2*q**4 + 4*q**2 - 7*q**3 - n*q**3 + 3*q**3 + q**3 = 0.
0, 1, 2
Let a(m) be the third derivative of -5*m**8/56 - 11*m**7/70 + 11*m**6/40 + 13*m**5/20 - m**4/8 - m**3 + 215*m**2. Solve a(t) = 0.
-1, -1/2, 2/5, 1
Let t be 46/6 + (2/(-6))/((-83)/(-1743)). Factor -1/3*g - 15*g**2 + t.
-(5*g - 1)*(9*g + 2)/3
Suppose 36 = 22429*w - 22411*w. Let -2/5*c**w + 0 - 2/5*c = 0. Calculate c.
-1, 0
Factor -43904/17 - 168/17*v**2 - 2/17*v**3 - 4704/17*v.
-2*(v + 28)**3/17
Find s, given that -16*s**4 - 68*s**2 - 12 - 76*s - 2*s**5 - 48*s**3 + 89*s - 59*s = 0.
-3, -2, -1
Let z be 10/48*(-160 - -7). Let i = z - -32. Suppose -i*l**2 + 0 + 1/8*l**4 - 1/8*l**5 + 1/8*l**3 + 0*l = 0. What is l?
-1, 0, 1
Let q = 5 + -3. Let h = 81 - 71. Factor 2 + q*o + 19*o - h + 12*o**2 + 2.
3*(o + 2)*(4*o - 1)
Let t(k) = -2*k**4 + 7*k**3 + 20*k**2 - 11*k + 7. Let x(r) = 2*r**4 - 8*r**3 - 22*r**2 + 12*r - 8. Let d(i) = 8*t(i) + 7*x(i). Factor d(u).
-2*u*(u - 1)**2*(u + 2)
Let l = -7 + 18. Let h(t) = 20*t**3 - 9*t**2 - 80*t + 91. Let x(f) = 4*f**3 - 2*f**2 - 16*f + 18. Let j(m) = l*x(m) - 2*h(m). Factor j(o).
4*(o - 2)*(o - 1)*(o + 2)
Let o = 1/162 + 2585/1134. Factor o*u + 0 - 48/7*u**2 + 20/7*u**3.
4*u*(u - 2)*(5*u - 2)/7
Let w(s) = -11*s**3 - 78*s**2 - 183*s - 92. Let y(c) = 12*c**3 + 76*c**2 + 186*c + 94. Let k(v) = 7*w(v) + 6*y(v). Determine u, given that k(u) = 0.
-16, -1
Suppose 0 = 2*h - 10 - 14. Suppose -2*s - h = -6*s. Factor p**s + 3 - 3*p**4 - 2*p + 5*p**3 - 3*p - p.
-3*(p - 1)**3*(p + 1)
Let x(n) be the second derivative of -n**10/6048 + n**9/1008 - n**7/126 + 5*n**4/4 - 11*n. Let m(g) be the third derivative of x(g). Factor m(u).
-5*u**2*(u - 2)**2*(u + 1)
Factor 1/2*v**5 + 0*v**2 + 0 + 0*v - 2*v**4 + 2*v**3.
v**3*(v - 2)**2/2
Determine o, given that -7 - 1 + 1 - 12*o + 3 - 9*o**2 = 0.
-2/3
Let v(z) be the second derivative of 0 - 1/10*z**6 + 0*z**2 - z + 1/2*z**3 - 3/20*z**5 + 1/4*z**4. What is q in v(q) = 0?
-1, 0, 1
Let l = 78 + -73. Factor y + 14*y**2 - 6*y**l - 9*y**4 - y - 11*y**2.
-3*y**2*(y + 1)**2*(2*y - 1)
Suppose 0*o - 4 = 4*i - 3*o, 8 = 2*o.