+ 23*a**3/27 - 14*a**2/9 + 4*a/3 + 216. Factor k(z).
(z - 3)*(z - 2)**2*(z - 1)/9
Let h(d) = -4*d**4 - 2*d**2 + 6. Let o = 21 - 19. Let y(a) = 1 - 3*a**2 + 0*a**2 + 2*a**o. Let p(x) = -h(x) + 6*y(x). Factor p(w).
4*w**2*(w - 1)*(w + 1)
Let u(m) be the second derivative of 0*m**4 - 18*m - 1/135*m**6 + 1/9*m**2 + 2/27*m**3 + 0 - 1/45*m**5. Suppose u(r) = 0. Calculate r.
-1, 1
Suppose 2*s + 4*l = -l + 271, 0 = 5*s + 2*l - 646. Let y be -1*3*s/(-48). What is i in y*i**3 + 0 + 2*i**2 + 0 + 2*i**2 + 4*i**4 = 0?
-1, 0
Let j(w) = 4 - 1 + w**4 - 3*w**2 - 9*w**3 + 2*w**3 - 8. Let t(q) = 4*q**3 + 2*q**2 + 2. Let l(o) = -2*j(o) - 5*t(o). Suppose l(r) = 0. What is r?
-2, -1, 0
Let j = 22/43 - -20/129. Determine g so that -j + g - 1/3*g**2 = 0.
1, 2
Let o(x) be the first derivative of -2*x**5/35 - 4*x**4/7 - 10*x**3/21 + 50*x**2/7 - 126. Solve o(j) = 0 for j.
-5, 0, 2
Let c(a) be the first derivative of -a**4/32 + 7*a**3/8 - 15*a**2/2 + 25*a/2 + 95. Suppose c(n) = 0. Calculate n.
1, 10
What is u in 0*u**4 - 3/5*u**5 - 9/5*u + 12/5*u**3 - 6/5*u**2 + 6/5 = 0?
-2, -1, 1
Let w = 3 - -17. Let -12*r**3 - 4*r**3 + 4 - w*r + 24*r**2 + 4*r + 4*r**4 = 0. Calculate r.
1
Suppose 4*z = 39 - 3. Suppose 0 = n - 0*n - z*n. What is c in 2/15*c**2 + 14/15*c**4 + 0 + n*c - 2/5*c**5 - 2/3*c**3 = 0?
0, 1/3, 1
Let c be (-6)/(-2) + (16 - 16). Suppose 5*w - 10 = -i, 5*w - 1 = -c*i + 9. Factor -16/5*o**3 + 2*o**4 + i*o - 8/5*o**2 + 0.
2*o**2*(o - 2)*(5*o + 2)/5
Let y(m) be the third derivative of m**6/40 + 31*m**5/20 + 28*m**4 - 128*m**3 - m**2 - 57*m. Suppose y(j) = 0. What is j?
-16, 1
Factor 192 + 1183*w - 437*w - 578*w + 42*w**2 + 3*w**3.
3*(w + 2)*(w + 4)*(w + 8)
Let h = 61 + -57. Factor -4*w**2 + 2*w**3 + 2*w**3 - 4*w**4 + h*w**3.
-4*w**2*(w - 1)**2
Let c(a) = 2*a**2 + 4*a - 6. Let j(d) = -d + 1. Let l = -74 + 73. Let u(v) = l*c(v) + 4*j(v). Factor u(s).
-2*(s - 1)*(s + 5)
Let z(j) be the first derivative of 8 - 9/4*j**4 + 0*j + 0*j**3 + 6*j**2 - 3/5*j**5. Let z(m) = 0. Calculate m.
-2, 0, 1
Let o = -13 - -15. Suppose -4 = -q + 2*r, -2*q + 2*r + 6 = -o. Suppose 8*b**4 - 3 - 3*b**q + 10*b**3 + 1 - 2*b + 6*b**2 - b**4 = 0. Calculate b.
-1, 1/2
Let s be (-26)/54 - (-6)/(-18). Let u = s + 434/135. Solve -54/5*j**2 + 108/5*j - 1/5*j**4 + u*j**3 - 81/5 = 0.
3
Let s(z) = -5*z**5 + 14*z**4 + 4*z**3 - 16*z**2 + z - 1. Let p(v) = v**5 - v - 1. Let k(j) = 6*p(j) - 2*s(j). Suppose k(w) = 0. Calculate w.
-1, -1/4, 1
Let b(v) be the first derivative of -5*v**3/12 - 25*v**2/2 - 45*v - 162. Factor b(s).
-5*(s + 2)*(s + 18)/4
Suppose 4 = -11*s + 15*s. Let p be 3/(-12)*2*(s - 2). What is z in 0 - 1/2*z**2 + z - p*z**3 = 0?
-2, 0, 1
Let l(r) = -14*r**4 - 646*r**3 - 69342*r**2 - 2449434*r + 2519424. Let p(d) = -2*d**4 - d**2 + d. Let v(q) = l(q) - 6*p(q). Factor v(t).
-2*(t - 1)*(t + 108)**3
Let b = 2099 - 2090. Let l(z) be the second derivative of 0 + b*z - 1/24*z**3 + 0*z**2 + 1/48*z**4. Factor l(y).
y*(y - 1)/4
Let w(q) be the second derivative of -q**9/3780 - q**8/840 - q**7/630 + 2*q**4/3 + 25*q. Let n(g) be the third derivative of w(g). Suppose n(k) = 0. What is k?
-1, 0
Factor -196 - 475*v + 97 + 99 + 3*v**2 + 139*v.
3*v*(v - 112)
Let -96/17*i - 2/17*i**2 - 94/17 = 0. Calculate i.
-47, -1
Let u = -203 - -209. Suppose -10*v - u = -13*v. Let 0 - 4/3*w - 14/3*w**v = 0. Calculate w.
-2/7, 0
Let a(w) be the third derivative of w**6/360 + 7*w**5/180 + 5*w**4/36 + 71*w**2 + 1. Solve a(g) = 0 for g.
-5, -2, 0
Let u(q) be the third derivative of -q**8/2016 + q**7/420 + q**6/40 + q**5/90 - q**4/6 + 300*q**2. Solve u(h) = 0 for h.
-2, 0, 1, 6
Let v(b) be the first derivative of -b**3/21 - 3*b**2/7 + b + 87. Solve v(z) = 0 for z.
-7, 1
Let o(r) be the third derivative of 2*r**7/105 - 17*r**6/30 + 86*r**5/15 - 86*r**4/3 + 80*r**3 - 452*r**2. Factor o(z).
4*(z - 10)*(z - 3)*(z - 2)**2
Let o(y) = 8*y**2 + 412*y + 1988. Let c(g) = 3*g**2 + 165*g + 795. Let h be (1 - 2/3)/(1/(-15)). Let v(x) = h*o(x) + 12*c(x). Solve v(b) = 0.
-10
Let r(f) be the second derivative of -f**4/42 + f**3/3 + 37*f. Determine v, given that r(v) = 0.
0, 7
Let a = -61 + 71. Suppose 48 - 8*q**2 + a*q**2 - 44*q - 20*q + 26*q**2 - 4*q**3 = 0. What is q?
2, 3
Suppose -h + 53 = -5*g + 176, 12 = -4*h. Factor -3*r**3 - 2*r - 3*r - g + 13*r + 10*r + 9*r**2.
-3*(r - 4)*(r - 1)*(r + 2)
Let s be (4818/55)/(3/10). Factor -s*r - 25 + 332*r + 5 - 15*r**3 - 5*r**2.
-5*(r - 1)*(r + 2)*(3*r - 2)
Let d be ((-16)/20)/((-12)/10). Suppose 7*f - 7 - 7 = 0. Solve -1/3*y**3 - 2/3 + d*y**f + 1/3*y = 0.
-1, 1, 2
Let v = -21176 - -21176. Solve 2/9*n**2 + 0 + 2/9*n**3 + v*n = 0.
-1, 0
Suppose -35 + 155 = 6*x. Suppose 0 = x*z - 4*z. What is p in -6/5*p + 3/5*p**2 + 6/5*p**3 + z - 3/5*p**4 = 0?
-1, 0, 1, 2
Factor 8/3*y**3 + 20/9*y + 0 - 14/3*y**2 - 2/9*y**4.
-2*y*(y - 10)*(y - 1)**2/9
Let h be (-3)/2*(-128)/48. Determine y, given that y**4 + y**4 - y**h + y**5 - y**3 - y**2 = 0.
-1, 0, 1
Let d(f) = 8*f**2 - 45*f + 5. Let b(v) = -9*v**2 + 45*v - 6. Let m(s) = 5*b(s) + 6*d(s). Suppose m(k) = 0. What is k?
0, 15
Let i be (3/(-2))/((-6)/11952*15). Let b = i + -198. What is s in -3/5*s**2 + b*s - 3/5 = 0?
1
Determine o, given that -285/4*o**2 - 3*o**4 + 111/4*o**3 + 108 + 6*o = 0.
-1, 9/4, 4
Let 3/2*k**3 - 9*k + 0 + 15/2*k**2 = 0. Calculate k.
-6, 0, 1
Suppose 172*h - 1084 = -99*h. Solve 1/7*j + 0 - 1/7*j**h - 1/7*j**3 + 1/7*j**2 = 0.
-1, 0, 1
Let z(u) be the third derivative of -u**6/300 - 7*u**5/150 - u**4/15 + 4*u**3/5 + 36*u**2. Find i such that z(i) = 0.
-6, -2, 1
Factor -2/3*j**2 - 344/3*j - 114.
-2*(j + 1)*(j + 171)/3
Let c(q) be the second derivative of 5/2*q**3 - 9/2*q**2 + 0 - 1/4*q**4 - 5*q - 3/20*q**5. Find g such that c(g) = 0.
-3, 1
Let j(i) be the second derivative of -i**7/28 - i**6/30 + 13*i**5/60 - i**3/4 - i**2/6 + 2*i - 9. Solve j(g) = 0.
-2, -1/3, 1
Let q be 27/5 - (-16)/(-40). Determine c so that -2*c + 3 - 23*c - 33 - q*c**2 = 0.
-3, -2
Let w(q) = 2*q**2 + q + 1. Let k(d) = 3*d**2 + 10*d - 10. Let o(n) = 3*k(n) - 6*w(n). Determine u, given that o(u) = 0.
2, 6
Suppose -50*x + 8917 - 8767 = 0. Find u such that 4/5*u**x - 12/5*u**4 + 12/5*u**2 + 0*u - 4/5*u**5 + 0 = 0.
-3, -1, 0, 1
Factor 52/5*i**2 + 48/5*i**3 + 0*i + 0 - 4/5*i**4.
-4*i**2*(i - 13)*(i + 1)/5
Suppose 2*s = 5*j, -28*j + 23*j - 4*s = 0. Let h(y) be the third derivative of -1/120*y**6 - 3*y**2 + 0*y**5 + j*y + 1/8*y**4 + 1/3*y**3 + 0. Factor h(v).
-(v - 2)*(v + 1)**2
Factor -57/5*c**2 + 12/5 + 108/5*c.
-3*(c - 2)*(19*c + 2)/5
Let f(s) = -2*s**3 - 2*s**2 - 2*s. Let x be f(-2). Factor g**4 + 40*g + 2 + 18 + 5*g**5 - 25*g**3 - 7*g**2 + x*g**2 - 6*g**4.
5*(g - 2)**2*(g + 1)**3
Let u(i) = 7*i**2 - 2*i - 2. Let m be u(-2). Suppose -2*d + m - 2 = 0. Suppose -10*c**4 - 5*c**5 + d*c**4 + c**5 = 0. Calculate c.
0, 1
Let q(b) be the first derivative of -b**6/9 - 14*b**5/15 - 19*b**4/6 - 50*b**3/9 - 16*b**2/3 - 8*b/3 - 81. Determine c, given that q(c) = 0.
-2, -1
Solve 16/3 + 14/3*w**3 + 20*w**2 + 24*w = 0 for w.
-2, -2/7
Let s(w) be the first derivative of w**6/840 + w**5/28 + 25*w**4/56 - 7*w**3 - 3. Let c(g) be the third derivative of s(g). Solve c(o) = 0 for o.
-5
Let n(h) be the first derivative of -3*h**4/32 - 7*h**3/8 - 9*h**2/4 + 8. Let n(u) = 0. Calculate u.
-4, -3, 0
Let n be ((-84)/36)/(2/48). Let a = -52 - n. Find w such that -1 + 7/4*w**2 + w**3 - w - 3/4*w**a = 0.
-1, -2/3, 1, 2
Suppose 2*l = 5*l - 2*o - 16, 0 = 5*l + 3*o - 52. Determine d so that 4*d**3 + 0*d**2 - 3*d**2 - 2*d**3 + 9*d**4 - l*d**4 = 0.
-3, 0, 1
Suppose -5*i + 4*i = -5*g - 30, 0 = -4*g + 12. Suppose 2*f = 5*f - i. Factor -17*y - 3*y - f*y**2 - 4 - 4*y**2 - 7*y**3 - 4*y**2.
-(y + 1)*(y + 2)*(7*y + 2)
Factor 34560*s - 127*s**3 + 720*s**2 + 132*s**3 + 711259 - 158299.
5*(s + 48)**3
Let q be (-5)/2*20/(-25). Factor 35*b + 4 + 2*b**2 - 31*b - b**q.
(b + 2)**2
Suppose 3*z + 4 + 2 = 0. Let b be (-3)/z - (-2)/4. Find j, given that 19*j**2 + j**3 + 45*j + b*j**2 + 43 - 16 + 2*j**3 = 0.
-3, -1
Let a(d) be the first derivative of -d**9/1296 - d**8/315 - 11*d**7/2520 - d**6/540 - 2*d**3/3 - 10. Let p(i) be the third derivative of a(i). Factor p(f).
-f**2*(f + 1)**2*(7*f + 2)/3
Let x(d) be the third derivative of d**8/2240 + d**7/420 - d**6/60 - d**5/5 - d**4/6 - 7*d**2. Let u(w) be the second derivative of x(w). What is 