c**5 - 8/3*c**4 + j.
2*(c - 4)*(c - 3)*(c + 1)**3/3
Factor -2/3*x**3 - 256/3 + 58/3*x**2 + 200/3*x.
-2*(x - 32)*(x - 1)*(x + 4)/3
Let b(l) be the first derivative of -55 + 13/12*l**3 + 0*l**2 - 1/16*l**4 + 0*l. Factor b(s).
-s**2*(s - 13)/4
Let p = -129 + 133. Determine z, given that 75 - 75 - 4*z**2 - 7*z**4 + z**4 + 10*z**p = 0.
-1, 0, 1
Let v be (-5 - 2826/(-570))*1687/98. Let o = -1/95 - v. Factor -o*p**2 - 1/7*p + 1/7*p**3 + 5/7.
(p - 5)*(p - 1)*(p + 1)/7
Let 1441845 - 20*b**2 - 13*b**2 + 51*b**2 - 5370*b - 13*b**2 = 0. Calculate b.
537
Let d(v) be the first derivative of v**6/18 - 4*v**5/15 - v**4/4 + 34*v**3/9 - 26*v**2/3 + 8*v - 7612. Suppose d(o) = 0. Calculate o.
-3, 1, 2
Let x(t) be the third derivative of 1/80*t**6 + 0 + 0*t**3 - 59*t**2 + 1/2688*t**8 + 0*t + 1/64*t**4 + 1/48*t**5 + 1/280*t**7. Factor x(u).
u*(u + 1)**3*(u + 3)/8
Factor 25/4*q**3 + 23/4*q + 47/4*q**2 + 0 + 1/4*q**4.
q*(q + 1)**2*(q + 23)/4
Factor 2*y**3 - 33/4*y**2 + 11 + y + 1/4*y**4.
(y - 2)**2*(y + 1)*(y + 11)/4
Let n(p) be the second derivative of -6/5*p**2 + 0 + 3/100*p**5 - 9/20*p**4 + 11/10*p**3 + 1/50*p**6 - 167*p. Let n(k) = 0. What is k?
-4, 1
Let g be 6 - 81/(13770/884). Factor -g*s - 4/5*s**2 + 3/5*s**3 + 2/5*s**4 - 1/5*s**5 + 0.
-s*(s - 2)**2*(s + 1)**2/5
Let j(o) be the second derivative of -o**6/15 + 6*o**5/5 - 29*o**4/6 + 6*o**3 + 3*o - 650. Suppose j(r) = 0. What is r?
0, 1, 2, 9
Let k = -1485 - -31187/21. Let a be (-3*(-4)/(-126))/((-9)/36). Determine o, given that 4/21 - k*o**3 - 10/21*o + a*o**2 = 0.
1, 2
What is l in 0 + 18*l - 9/2*l**3 - 27/2*l**2 + 2/3*l**5 + 8/3*l**4 = 0?
-4, -3, 0, 3/2
Let h = -1303 - -10427/8. Let c be 0 - (-4 - 0 - -4). Factor 3/8*w - h*w**2 + c.
-3*w*(w - 1)/8
Let t(d) be the second derivative of 0*d**6 - 1/5*d**5 - 7 + d**2 + 1/42*d**7 - 1/6*d**4 + 4*d + 1/2*d**3. Suppose t(s) = 0. What is s?
-1, 1, 2
Factor -295*o - 64*o**2 + 367 + 137 + 6902*o**3 - 104 - 6907*o**3 - 36*o**2.
-5*(o - 1)*(o + 5)*(o + 16)
Suppose 9/5 + 3/5*a**4 - 12/5*a**2 + 26/5*a**3 - 26/5*a = 0. What is a?
-9, -1, 1/3, 1
Let y(p) be the first derivative of -14/45*p**5 + 67 + p**4 + 1/27*p**6 + 8/9*p**2 + 0*p - 40/27*p**3. Factor y(h).
2*h*(h - 2)**3*(h - 1)/9
Suppose -5*b + l = -283, 18*b = 15*b + 5*l + 161. Suppose w**2 + b + 52 - 125 + 37*w + 52 = 0. Calculate w.
-36, -1
Let v be (6 - 300/48)/((-80)/400). Find m such that 5/4*m**2 + v*m + 1/4*m**4 - 3/2 - 5/4*m**3 = 0.
-1, 1, 2, 3
Suppose 1008*a - 68 = 1007*a. Suppose -4 = a*j - 70*j. Suppose 52/3*s**4 + 0 - 16/3*s + 4/3*s**3 - 52/3*s**j + 4*s**5 = 0. What is s?
-4, -1, -1/3, 0, 1
Let h(c) be the first derivative of -10*c + 55 - 35/3*c**3 - 45/2*c**2. Factor h(v).
-5*(v + 1)*(7*v + 2)
Suppose 3*c + 6 = -4*s, -5*c = 9*s - 4*s + 5. Let a be 14/126 - (84/27 + s). Let -2/13*p**4 + 0*p + 0 + 2/13*p**2 + a*p**3 = 0. Calculate p.
-1, 0, 1
Let t be -1 - 2 - -2*(-3 - 663/(-144)). Let b(d) be the first derivative of 1/2*d - t*d**3 + 12 + 1/2*d**2. Factor b(c).
-(c - 2)*(5*c + 2)/8
Factor -1/3*o**4 - 4/3*o + 0 + 7/3*o**2 - 2/3*o**3.
-o*(o - 1)**2*(o + 4)/3
Let x(b) be the first derivative of b + 38. Let m(v) = -v**3 - 78*v**2 - 2028*v - 17565. Let r(d) = 4*m(d) - 44*x(d). Factor r(y).
-4*(y + 26)**3
Let p(g) = 17*g**4 + 6*g**3 - 35*g**2 + 39*g - 27. Let v(h) = -14*h**4 - 4*h**3 + 34*h**2 - 44*h + 28. Let z(q) = -4*p(q) - 5*v(q). Factor z(t).
2*(t - 4)*(t - 1)**2*(t + 4)
Let d(o) be the third derivative of -o**5/12 - 205*o**4/4 - 25215*o**3/2 + 100*o**2 - 2*o. Determine m so that d(m) = 0.
-123
Let r be (48/30)/((-3)/5 + 1). Suppose 0 = -16*y + 17*y - r. Let 135*h**2 + 135*h + 18*h**4 - 2*h**3 + 28*h**3 + 19*h**3 - 13*h**y = 0. What is h?
-3, 0
Let h be 90/(-12)*84/(-1260). Factor 72*d + 0 + 25/2*d**3 - h*d**4 - 84*d**2.
-d*(d - 12)**2*(d - 1)/2
Let j be (-27022)/311520 - (-1)/11. Let t(b) be the third derivative of 1/6*b**3 + j*b**5 + 0 + 14*b**2 + 1/24*b**4 + 0*b. Factor t(a).
(a + 2)**2/4
Let n be 15/(-240)*80*2/(-5). Factor -3/4*t**n + 21/4 + 9/2*t.
-3*(t - 7)*(t + 1)/4
Let z(f) be the third derivative of -f**5/390 - 347*f**4/156 - 6906*f**2. Factor z(b).
-2*b*(b + 347)/13
Let w(g) = 51*g + 259. Let o be w(-5). Let c be (14/o)/((-30)/15 - -9). Factor c*y**2 + y + 0.
y*(y + 2)/2
Suppose -4*l + 9 = 2*u - 5*l, -2*u + 5*l + 13 = 0. Let f = u - -20. What is b in -49*b**4 + 27*b - f*b**3 - 2*b**5 - 6*b**2 - b**5 - 12 + 67*b**4 = 0?
-1, 1, 4
Suppose 4*y - 3*m + 12 - 31 = 0, -4*y + 12 = 4*m. Find a, given that -75*a**3 + 65*a**3 - a**4 - 16*a**2 - 8*a + 0*a**4 - a**y = 0.
-2, -1, 0
Let d be (-5 - (6 + -12))*11. Let -7*h**3 - d*h - 285 - 282 - 16*h**2 + 565 = 0. Calculate h.
-1, -2/7
Let y(r) be the first derivative of -r**5 - 275*r**4/2 - 5395*r**3 - 29150*r**2 - 56180*r + 477. Factor y(k).
-5*(k + 2)**2*(k + 53)**2
Let b(l) be the second derivative of 111*l - 441/4*l**2 + 0 - 31/10*l**5 + 619/12*l**4 + 1/20*l**6 + 77*l**3. Suppose b(z) = 0. What is z?
-1, 1/3, 21
Suppose 133*q + 1166*q + 458 = 458. Solve 9/2*k**2 + q - 7/8*k - 5/8*k**3 = 0 for k.
0, 1/5, 7
Let q be (-1 - 41/(-45))/(2344/(-879)). Let p(a) be the third derivative of 8*a**2 + q*a**5 + 1/3*a**3 + 1/6*a**4 + 0 + 0*a. Factor p(y).
2*(y + 1)**2
Let u(v) be the first derivative of 24*v + 30 + 5/4*v**4 - 9/2*v**2 + 3/10*v**5 - 2*v**3. Let t(z) be the first derivative of u(z). Find f, given that t(f) = 0.
-3, -1/2, 1
Factor -35*p**2 + 13221 - 5*p**3 - 13221 + 150*p.
-5*p*(p - 3)*(p + 10)
Let k(u) be the third derivative of -u**5/45 - 340*u**4/9 - 1358*u**3/9 - 2*u**2 - 554*u. Suppose k(c) = 0. Calculate c.
-679, -1
Let w be ((-13 + 5)/8)/(1/(-9)). Determine u, given that 9*u**3 + u**4 + 28 - 11 + 2*u**4 - w*u - 33*u**2 + 13 = 0.
-5, -1, 1, 2
Let d = -36 + 48. Let m(q) be the first derivative of 29*q - 20 - 6*q - 2*q - d*q**2 + q**3. Factor m(r).
3*(r - 7)*(r - 1)
Let w = -360 + 294. Let l be (3/6)/((-4)/w). Factor 27/2*z**2 - 6*z**4 - 3*z**3 + 3/2 - l*z.
-3*(z + 2)*(2*z - 1)**3/4
Let q(w) be the first derivative of 19*w + 21/20*w**5 + 0*w**2 - 3/2*w**3 - 6 + w**4. Let v(z) be the first derivative of q(z). What is s in v(s) = 0?
-1, 0, 3/7
Let y(b) be the second derivative of b**6/90 - 2*b**5/5 + 113*b**4/36 + 55*b**3/3 + 7136*b. Factor y(u).
u*(u - 15)*(u - 11)*(u + 2)/3
Let b(y) = -19*y**2 + 322*y + 1430. Let l(t) = -14*t**2 + 328*t + 1428. Let a(k) = -2*b(k) + 3*l(k). Factor a(o).
-4*(o - 89)*(o + 4)
Let i be (-914)/(-76) - 139/(3753/324). Let c(o) be the second derivative of 0*o**3 + 32*o - i*o**5 - 4/285*o**6 + 0 - 1/114*o**4 + 0*o**2. Factor c(d).
-2*d**2*(d + 1)*(4*d + 1)/19
Let r = 185 + -180. Suppose 0 = 3*h + 2*g + 1, 10 = -3*g - r. Factor 15/4*u - 3/4*u**2 - h.
-3*(u - 4)*(u - 1)/4
Let z(o) be the first derivative of -o**4/14 + 100*o**3 - 52500*o**2 + 12250000*o + 4578. Factor z(h).
-2*(h - 350)**3/7
Let p(u) be the second derivative of u**7/21 + 13*u**6/15 + 51*u**5/10 + 21*u**4/2 + 14*u - 4. Let p(h) = 0. Calculate h.
-7, -3, 0
Suppose 30*c + 126 = 23*c. Let d be (-158)/c - 2/(-9) - 6. Let -6*r**4 - 72/7*r**2 - 6/7 - 33/7*r - 78/7*r**d - 9/7*r**5 = 0. What is r?
-1, -2/3
Let x = -971 - -971. Let u(p) be the first derivative of -14 - 1/14*p**4 + x*p**2 + 0*p - 2/21*p**3. Factor u(j).
-2*j**2*(j + 1)/7
Let t(g) be the third derivative of -g**6/900 - 19*g**5/225 - 2*g**4/5 - 936*g**2. Factor t(z).
-2*z*(z + 2)*(z + 36)/15
Let v(z) = -2*z**3 - 3*z**2 + 8*z + 20. Let r be v(-3). Suppose -64*t**3 + r*t**2 + 4*t**4 + 27*t**4 - 4*t**5 - 19*t + 4*t**3 + 29*t = 0. What is t?
-1/4, 0, 1, 2, 5
Let b(o) be the second derivative of 9*o**2 + 0 - 9*o + o**3 + 1/4*o**4 + 1/40*o**5. Let w(x) be the first derivative of b(x). Factor w(z).
3*(z + 2)**2/2
Let x(w) = -7*w**5 - 44*w**4 + 54*w**3 - 25*w**2. Let g(y) = -2*y**5 - 11*y**4 + 13*y**3 - 6*y**2. Let t(p) = -11*g(p) + 3*x(p). Determine c so that t(c) = 0.
0, 1, 9
Let b(m) = 156*m**4 + 32*m**3 - 120*m**2 - 66*m - 14. Let d(j) = 2*j**4 - 2*j**2 - j - 1. Let s(w) = b(w) - 6*d(w). Determine h, given that s(h) = 0.
-1/2, -2/9, 1
Let t(x) = 427*x**3 + x**2 - 2*x. Let q(m) = -1281*m**3 - 3*m**2 + 6*m + 1. Let u(k) = 2*q(k) + 7*t(k). Let l be u(1). Factor -r**2 - 427*r + l*r + 0*r**2.
-r*(r - 1)
Let x = -3/1139 - -1229/34170. Let m(q) be the second derivative of 0 + 7*q + x*q**5 + 0*q**2 + 1/3*q**3 - 2/9*q**4. Fac