5 + 10/3*k**3 - i*k**4 + 12*k**2 + 0. Solve c(z) = 0 for z.
-3, -1, 2
Let o(v) be the first derivative of v**6/21 - 64*v**5/5 - 339*v**4/7 - 1360*v**3/21 - 227*v**2/7 - 924. Factor o(h).
2*h*(h - 227)*(h + 1)**3/7
Let t = -357 - -373. Let n(w) = -12*w**3 - 16*w**2 + 8*w + 5. Let u(g) = 38*g**3 + 50*g**2 - 24*g - 16. Let m(c) = t*n(c) + 5*u(c). Factor m(y).
-2*y*(y - 1)*(y + 4)
Let f be 6/(-4)*(-15)/(135/84). Factor -8*o**3 - f*o**3 - 8 + 6*o**2 + 8*o - 2*o**4 + 30*o**3 - 12*o**3.
-2*(o - 1)**2*(o + 2)**2
Suppose 3*o + 3*g - 14 = 4*g, -4*o - g + 14 = 0. Determine y, given that -o*y**4 + 5*y**5 + 2*y + 5*y**5 + 4*y**2 - 2*y**5 - 10*y**5 = 0.
-1, 0, 1
Let m(i) be the second derivative of -3*i**5/10 - 145*i**4/4 + 37*i**3 + 219*i**2/2 - 308*i. Factor m(t).
-3*(t - 1)*(t + 73)*(2*t + 1)
Let b(z) = -33*z - 208. Let j be b(-6). Let y be (((-15)/j)/(-3))/((-1)/8). Factor -3/2 - 1/2*p**y - p**3 + p + 2*p**2.
-(p - 1)**2*(p + 1)*(p + 3)/2
Let 9/5*w + 19/5*w**2 - 1/5*w**3 - 2/5*w**4 - 9/5 = 0. What is w?
-3, -1, 1/2, 3
Let c(a) = -3*a + 40. Suppose -51 = -5*p + 4*b, -3*p - 4*b = -7*b - 30. Let r be c(p). Determine z so that -19*z**2 - 1 + r*z**2 - 2*z + 10*z**2 + 5 = 0.
-2, 1
Let q(i) be the second derivative of -i**5/40 - 7*i**4/24 + 2*i**3/3 - 580*i. Factor q(b).
-b*(b - 1)*(b + 8)/2
Let o(x) be the first derivative of 2*x**5/45 - 569*x**4/9 + 214318*x**3/9 + 1299596*x**2/9 + 2608328*x/9 + 9254. What is f in o(f) = 0?
-2, 571
Suppose 2*o - 5*q - 1495 = -0*o, 0 = -o + 3*q + 747. Suppose 752*h - 10 = o*h. Determine u, given that -1/2*u**h - 3/2*u - u**2 + 1 + 0*u**4 + 2*u**3 = 0.
-2, -1, 1
Find s, given that -320/7*s**5 - 2/7*s**4 + 0*s**3 + 0*s**2 + 0 + 0*s = 0.
-1/160, 0
Let t(d) = 4*d**3 - 80*d**2 + 374*d - 55. Let v(j) = 12*j**3 - 240*j**2 + 1124*j - 176. Let g(n) = 16*t(n) - 5*v(n). Factor g(p).
4*p*(p - 13)*(p - 7)
Let v(z) be the first derivative of -2*z**3 + 2/35*z**5 - 166 + 8*z - 2/7*z**4 - 4/7*z**2. Suppose v(t) = 0. What is t?
-2, 1, 7
Suppose -15*f = -16*f - 18. Let d be (102/f)/((2/1)/(-1338)). Factor -3791 - 3*w**2 + d - 12*w.
-3*w*(w + 4)
Factor -24/5*n**2 - 2/5*n**3 + 2/5*n**4 - 32/5 + 56/5*n.
2*(n - 2)**2*(n - 1)*(n + 4)/5
Let z = 5/12281 - -24527/85967. Factor -z*f - 6/7*f**2 + 6/7 + 2/7*f**3.
2*(f - 3)*(f - 1)*(f + 1)/7
Suppose 35*f + 24*f = -32*f + 71*f. Factor f + 26/5*b**2 - 2/5*b**3 + 0*b.
-2*b**2*(b - 13)/5
Let s(g) be the first derivative of 4*g**5/25 - 13*g**4/10 + 4*g**3/3 + 5*g**2 + 839. Find x such that s(x) = 0.
-1, 0, 5/2, 5
Let v(p) be the first derivative of 168 + 0*p + 1/12*p**4 + 2/9*p**3 - 5/2*p**2. Determine z, given that v(z) = 0.
-5, 0, 3
Let d(v) be the second derivative of 0 + 1/36*v**4 - 1/3*v**2 + 58*v - 1/18*v**3. Determine y so that d(y) = 0.
-1, 2
Let m(y) be the first derivative of y**3 - 66*y**2 - 135*y - 126. Find f, given that m(f) = 0.
-1, 45
Let r(s) = 265*s**2 - 105695*s + 62128290. Let d(n) = 29*n**2 - 11744*n + 6903143. Let v(j) = -55*d(j) + 6*r(j). Solve v(m) = 0 for m.
1175
Let n be -3 - (-1)/((-774571)/(-129101) + -6). Let k = n + 3736. Let 264/5*c - k*c**2 - 72/5 + 6*c**3 = 0. What is c?
2/5, 1, 6
Let z = -50 - -37. Let q be z + 8 + 9 + -1. Factor -1/2*p + 1/2*p**2 + 3/2*p**4 + 0 + 5/2*p**q.
p*(p + 1)**2*(3*p - 1)/2
Let c(u) be the first derivative of -5*u**3/3 + 445*u**2/2 + 910*u + 1329. Factor c(m).
-5*(m - 91)*(m + 2)
Let g be 136/714*216/(-30)*60/(-24). Factor 0*n - g*n**3 + 9*n**2 + 0.
-3*n**2*(8*n - 21)/7
Let c(r) be the second derivative of 2/3*r**3 + 11 - 4*r + 1/42*r**4 + 0*r**2. Factor c(p).
2*p*(p + 14)/7
Let z be (-3505)/(-50472)*(3 + 77). Factor 20/9*h + 2/9*h**2 + z.
2*(h + 5)**2/9
Let i(y) be the second derivative of -5/21*y**3 + 0 - 233*y - 2/7*y**2 + 1/6*y**4. Let i(f) = 0. What is f?
-2/7, 1
Let k(z) be the third derivative of -1 - 33/50*z**5 - 2*z**3 + 0*z + 31/20*z**4 + 13/100*z**6 - 38*z**2 - 1/175*z**7. Factor k(o).
-6*(o - 10)*(o - 1)**3/5
Factor -30 - 3/4*u**2 + 33/2*u.
-3*(u - 20)*(u - 2)/4
Determine w, given that 108*w**2 - 860 - 420*w + 107*w**2 - 318*w**2 + 108*w**2 = 0.
-2, 86
Let k(j) = 18*j**2 - 181*j - 131. Let s(w) = 34*w**2 - 363*w - 261. Let n = 263 - 258. Let h(t) = n*k(t) - 3*s(t). Factor h(i).
-4*(i - 16)*(3*i + 2)
Let h(a) = a**3 + 38*a**2 + 51*a - 11. Let c be h(-24). Find y such that 734 - c*y**2 + 72*y - 6*y**3 + 6760*y**2 - 302 + 3*y**4 = 0.
-3, 4
Let h(z) be the first derivative of -z**7/2100 - z**6/90 - 8*z**5/75 - 8*z**4/15 + 6*z**3 - 21. Let n(p) be the third derivative of h(p). Factor n(i).
-2*(i + 2)*(i + 4)**2/5
Let h(f) be the first derivative of -f**3/6 - 1095*f**2 - 2398050*f + 8964. Factor h(p).
-(p + 2190)**2/2
Let m(k) be the first derivative of 51*k**3 + 26 - 27*k**3 + 18*k**2 - 25*k**3 - 6*k**2. Factor m(a).
-3*a*(a - 8)
Let q(d) = -13*d**4 - 32*d**2 - 25*d**2 + 25*d**4 + 17*d**3 - 22*d**2. Let r(t) = -5*t**4 - 9*t**3 + 39*t**2. Let z(o) = -3*q(o) - 7*r(o). Factor z(l).
-l**2*(l - 6)**2
Suppose 3874 + 2066 = 1188*g. Factor 4/3*m**g + 0 + 0*m**2 + 4/3*m - 8/3*m**3 + 0*m**4.
4*m*(m - 1)**2*(m + 1)**2/3
Let f(m) be the second derivative of -m**7/10080 - m**6/360 + 39*m**4/2 + m**2 - 17*m. Let h(v) be the third derivative of f(v). Let h(w) = 0. Calculate w.
-8, 0
Let r(j) = 2*j**4 + j**3 + j**2 - 2*j - 1. Let k(l) = 17*l**4 + 42*l**3 + 72*l**2 - 16*l - 8. Let i(d) = 5*k(d) - 40*r(d). Find u, given that i(u) = 0.
-32, -2, 0
Let w(j) be the second derivative of -j**6/150 - 136*j**5/25 - 217*j**4/12 - 271*j**3/15 - 2969*j. Factor w(h).
-h*(h + 1)**2*(h + 542)/5
Factor -2/15*v**2 - 34395218/15 - 16588/15*v.
-2*(v + 4147)**2/15
Factor -300*z - 1833 - 85*z**2 - 5188 - 4229 - 82*z**2 + 165*z**2.
-2*(z + 75)**2
Determine w, given that 3/5*w**2 + 2/5 + 4/5*w**3 - 9/5*w = 0.
-2, 1/4, 1
Let h(a) be the second derivative of -2*a**7/77 - 27*a**6/55 - 39*a**5/110 + 329*a. Factor h(m).
-6*m**3*(m + 13)*(2*m + 1)/11
Let w(j) be the first derivative of 2*j**3/3 + 76*j**2 + 576*j + 3422. Factor w(r).
2*(r + 4)*(r + 72)
Find y, given that 66*y**3 - 73*y**2 + 3*y**2 - 8*y**4 - 42*y**2 + 24*y = 0.
0, 1/4, 2, 6
Let i(w) be the third derivative of -w**5/100 - 439*w**4/4 - 963605*w**3/2 - w**2 + 164*w + 6. Let i(f) = 0. What is f?
-2195
Let x(r) be the first derivative of 20*r**6/21 + 276*r**5/35 + 86*r**4/7 - 244*r**3/21 - 24*r**2 - 80*r/7 + 2544. What is u in x(u) = 0?
-5, -2, -1/2, -2/5, 1
Let a be (596/198 - 3)*(-452 + 33). Let p = a + 49/11. Determine x so that 2/3*x + 8/9*x**2 - p = 0.
-1, 1/4
Suppose 90*o + 8 - 458 = 0. Factor 0 + 0*a - 4/9*a**o - 20/9*a**3 - 16/9*a**4 - 8/9*a**2.
-4*a**2*(a + 1)**2*(a + 2)/9
Factor -49/9*p**2 + 0*p - 1/9*p**3 + 0.
-p**2*(p + 49)/9
Let x = -154059/632270 + 1/5498. Let g = 24/23 + x. Factor 16/5*i - g*i**3 - 4/5*i**4 + 16/5*i**2 + 0.
-4*i*(i - 2)*(i + 1)*(i + 2)/5
Suppose -8*t = -4*t + 5*n + 67, 2 = t - 5*n. Let a be (15/25)/(t/(-78)). Factor -a*y**2 + 12/5*y - 2/5.
-2*(3*y - 1)**2/5
What is g in -879*g**2 + 204*g**3 - 1010*g**2 - 287*g**2 + 54*g**4 + 2*g**5 + 3072*g = 0?
-16, 0, 2, 3
Let x(z) be the third derivative of -z**7/126 + 283*z**6/360 - 559*z**5/45 - 235*z**4/18 - 12494*z**2. Solve x(c) = 0.
-2/5, 0, 10, 47
Let f(z) be the third derivative of -z**7/105 + z**6/36 + z**5/45 + 2742*z**2. Factor f(m).
-2*m**2*(m - 2)*(3*m + 1)/3
Solve 131/7*s + 1/7*s**2 + 130/7 = 0 for s.
-130, -1
Let f be 2/(2 - (14/6 - 1)). What is t in -81 - f*t**2 + 41 - 2*t - t**2 + 43 + 3*t**2 = 0?
-3, 1
Let l(s) = -s**3 - 17*s**2 + 81*s - 61. Let r be l(-21). Suppose 49*a = r*a + 141. Factor 2*u + 12/5 - 6/5*u**a - 16/5*u**2.
-2*(u - 1)*(u + 3)*(3*u + 2)/5
Let v(b) be the second derivative of 4*b**6/25 - 107*b**5/50 - 3*b**4/10 + 3150*b. Find i such that v(i) = 0.
-1/12, 0, 9
Let a = 9/14785 + -30087556/133065. Let m = a + 227. What is q in 0 + m*q**4 + 0*q**3 + 2/9*q - 2/3*q**2 = 0?
-1, 0, 1/2
Let y = 1868 + -59709/32. Let q(o) be the second derivative of 5/12*o**3 + o**2 + 0 - y*o**5 + 7/3*o**7 + 77/6*o**6 - 55/12*o**4 + 4*o. Let q(c) = 0. What is c?
-4, -1/4, 2/7
Determine u, given that -4*u**3 + 407*u + 4*u**4 + 32 - 192*u - 199*u - 24*u**2 = 0.
-2, -1, 2
Let p be ((-1504)/(-144) - 11)*((-158)/20 + 1/(-2)). Factor -p*x - 4/3 - 4/3*x**4 - 19/3*x**2 - 25/6*x**3 - 1/6*x**5.
-(x + 1)**2*(x + 2)**3/6
Suppose -2*c + 1066 = 2*q + 186, -c + 425 