93*t**2/10 - 2265*t - 2. Determine b, given that m(b) = 0.
-17, 27
Factor 1624/9*z + 329672/9 + 2/9*z**2.
2*(z + 406)**2/9
Let i(h) be the third derivative of 1/220*h**6 - h**2 - 91*h - 1/33*h**4 - 1/1155*h**7 + 0 + 0*h**5 + 0*h**3. Find c, given that i(c) = 0.
-1, 0, 2
Let q(z) be the first derivative of z**4/4 - z**3 - 5*z**2 + 4*z - 17. Let i be q(5). Determine o, given that 5*o**3 - 35*o**2 - 6*o**3 - i*o**3 = 0.
-7, 0
Solve -2582*w + 97 + 75 + 49744809*w**2 + 6278*w - 31908*w - 168 = 0.
2/7053
Let h(m) be the third derivative of -m**6/480 - m**5/30 + m**4/8 + 6*m**3 - m**2 - 449. Factor h(t).
-(t - 4)*(t + 6)**2/4
Suppose -22 = 2*l - 54. Find k, given that -l + 270*k + 246*k + 4*k**2 - 500*k - 4*k**3 = 0.
-2, 1, 2
Let r = 610168/3 - 203387. Factor r*l + 1/3*l**2 + 2.
(l + 1)*(l + 6)/3
Let z(g) be the first derivative of -g**4/6 - 34*g**3/3 - 289*g**2 + 24*g + 78. Let w(b) be the first derivative of z(b). Determine p so that w(p) = 0.
-17
Let f be (3 - 7)*(-2 + -129). Let c = f + -524. Factor 0*y**3 + 2*y**2 - 2/3*y**4 + c + 4/3*y.
-2*y*(y - 2)*(y + 1)**2/3
Factor 3*v**2 + 3/2*v - 3/2*v**3 - 3.
-3*(v - 2)*(v - 1)*(v + 1)/2
Let p(y) be the second derivative of -y**7/84 - 11*y**6/60 - 7*y**5/8 - 25*y**4/24 + 3*y**3 + 9*y**2 - 96*y. Let p(j) = 0. What is j?
-6, -3, -2, -1, 1
Let q(k) = k**3 - 17*k**2 + 50*k + 3. Let c be q(4). Let r be (-3)/(((-2)/c*-5)/2). Factor 1/10*f**r + 1/5*f**2 - 2/5*f - 4/5.
(f - 2)*(f + 2)**2/10
Let a(w) be the first derivative of -11767*w**4/2 + 24026*w**3/3 - 1731*w**2/7 + 18*w/7 - 815. Find h such that a(h) = 0.
3/287, 1
Let p(d) = d**3 - 12*d**2 - 14*d - 13. Let w be p(13). Let t = -24 - w. Find o such that -7*o**4 + 3*o**3 - 5*o**5 + 0*o**4 + 6 - 6 + 7*o**2 + t*o = 0.
-1, -2/5, 0, 1
Let t be (-77)/(3850/(-60))*(-140)/(-12). Factor -t*v + 2/3 - 44/3*v**2.
-2*(v + 1)*(22*v - 1)/3
Suppose -1560 = u - 7*u. Let b be u/(-52)*(-2)/6. Factor 5/3*m**2 + 5/3*m - b - 5/3*m**3.
-5*(m - 1)**2*(m + 1)/3
Let k(x) be the third derivative of x**7/84 - 5*x**6/48 - 23*x**5/6 - 65*x**4/4 - x**2 + 5*x. Factor k(n).
5*n*(n - 13)*(n + 2)*(n + 6)/2
Let f(w) be the second derivative of 15*w + 5/3*w**3 + 7/10*w**5 + 0 + 1/15*w**6 + 0*w**2 + 11/6*w**4. Find o such that f(o) = 0.
-5, -1, 0
Factor 504490*k**2 + 749 - 504494*k**2 + 2486 + 821 - 2020*k.
-4*(k - 2)*(k + 507)
Let z = 9167/4 + -2285. Let j(i) be the first derivative of -22 + z*i**4 + 12*i + 7*i**3 - 30*i**2. Factor j(w).
3*(w - 1)*(w + 2)*(9*w - 2)
Suppose -9 = 14*z - 51. Factor -u**4 - z*u**3 - 12*u - 16*u**2 - 13*u**4 + 15*u**4.
u*(u - 6)*(u + 1)*(u + 2)
Let h be (-3)/((-5)/(20950/(-30))). Let r = h - -423. Solve -1/2*z**3 + 1/2*z**2 + 0 + 1/2*z**5 - 1/2*z**r + 0*z = 0 for z.
-1, 0, 1
Let d(i) = -i**2 - 35*i - 94. Let y be d(-3). Find o such that 18/5*o**2 + y*o**3 + 4/5 + 2/5*o**4 + 14/5*o = 0.
-2, -1
Let q(z) be the third derivative of -z**7/630 - 268*z**6/15 - 430944*z**5/5 - 230985984*z**4 - 371425462272*z**3 - 27*z**2 + 44. Suppose q(y) = 0. What is y?
-1608
Factor 0*i - 3/4*i**4 + 0 - 3/4*i**2 + 3/2*i**3.
-3*i**2*(i - 1)**2/4
Factor 32*j + 119/5 + 9/5*j**2.
(j + 17)*(9*j + 7)/5
Let z = 6211 + -6208. Let l(w) be the third derivative of 108*w**z + 0 - 1/10*w**6 - 52/15*w**5 + 0*w + 41*w**2 - 69/2*w**4. Find a, given that l(a) = 0.
-9, 2/3
Let c(f) be the second derivative of f**5/5 + 17*f**4/3 + 48*f**3 - 15*f + 9. Solve c(t) = 0 for t.
-9, -8, 0
Let t(i) be the first derivative of -i**5/12 - 5*i**4/12 + 5*i**3/2 - 19*i**2/2 + 28. Let w(y) be the second derivative of t(y). Factor w(a).
-5*(a - 1)*(a + 3)
Let v(y) be the first derivative of y**5/270 - y**4/108 - 2*y**3/27 + 207*y**2/2 - 205. Let b(z) be the second derivative of v(z). Factor b(m).
2*(m - 2)*(m + 1)/9
Let u be ((-85)/90)/((-43)/129). What is o in -1/6*o**2 + u + 8/3*o = 0?
-1, 17
Find s, given that -1/5*s**5 - 36*s**3 + 0*s**2 + 0*s + 0 - 92/5*s**4 = 0.
-90, -2, 0
Let v(a) = a**2 + 2*a - 10. Let i(z) = 2*z - 3. Let h be i(3). Let l be v(h). Factor -5 - q + 2*q**3 - 4*q**4 + 4 - q**l + 3 + 6*q**4 - 4*q**2.
-(q - 2)*(q - 1)**2*(q + 1)**2
Let v(b) be the second derivative of b**5/30 + 71*b**4/12 + 70*b**3/3 - 249*b**2/2 + 110*b. Let r(t) be the first derivative of v(t). Find a such that r(a) = 0.
-70, -1
Suppose -8*y + 2026 = -550. Let k = y - 320. Let 25/2 + 1/2*r**k + 5*r = 0. What is r?
-5
Suppose -2*a - 193 = -209. Factor 6947*n - 28 - 3446*n - 75*n**2 - 3393*n + 3*n**4 + a*n**3.
(n - 2)**2*(n + 7)*(3*n - 1)
Let o(i) be the first derivative of -21*i**5/5 - 13479*i**4/2 - 3844296*i**3 - 821580240*i**2 + 470416512*i + 8390. Factor o(q).
-3*(q + 428)**3*(7*q - 2)
Let i(b) be the first derivative of -b**4/12 + 19*b**3/6 + 10*b**2 + 40*b - 73. Let x(j) be the first derivative of i(j). Suppose x(h) = 0. Calculate h.
-1, 20
Let b(v) be the third derivative of -4*v**7/105 - 47*v**6/140 - v**5/21 + 47*v**4/28 + 38*v**3/21 + 614*v**2. Find o such that b(o) = 0.
-19/4, -1, -2/7, 1
Let t(r) = r**4 + 8*r**3 + 51*r**2 + 16*r - 76. Let s(n) = 6*n**4 + 57*n**3 + 360*n**2 + 111*n - 534. Let a(m) = 4*s(m) - 27*t(m). Factor a(x).
-3*(x - 7)*(x - 1)*(x + 2)**2
Suppose 11*i - 56 = -17*i. Let r(h) = 6*h**2 - 28*h - 94. Let g(y) = -y**2 + 6*y + 19. Let j(q) = i*r(q) + 11*g(q). Determine v so that j(v) = 0.
-7, -3
Let p(v) be the first derivative of -v**4/16 - 19*v**3/6 - 60*v**2 - 504*v - 7420. Find s, given that p(s) = 0.
-14, -12
Let c = -3299 - -3304. Let q(b) be the second derivative of b - 1/120*b**c + 1/12*b**2 - 1/12*b**3 + 1/24*b**4 + 0. Solve q(r) = 0.
1
Let c(x) be the third derivative of -11/60*x**6 + x + 5/12*x**4 + 50*x**2 + 2/105*x**7 + 0 + 0*x**3 + 2/15*x**5. Factor c(s).
2*s*(s - 5)*(s - 1)*(2*s + 1)
Let z(y) = -y**3 - 13*y**2 - 12*y + 2. Let a be z(-12). Let s be (a + 15/(-10))*6. Let 4 + s + 5*j**2 + 3 - 5 - 10*j = 0. Calculate j.
1
Let i(l) = -l**2 + 13*l - 16. Let c be i(11). Suppose 5*o = 4*z - c*z + 92, -4*o + 4*z = -68. Factor -o*v + 38*v**2 - 50*v**2 - v**3 - v**3 - 8.
-2*(v + 1)**2*(v + 4)
Let r(v) = -v**2 - 2. Let h(b) = 6*b + b**2 + 3*b + 0*b - 2*b + 2 + 2. Let c(i) = 3*h(i) + 6*r(i). Let c(q) = 0. Calculate q.
0, 7
Solve 90/7*f**4 - 18/7*f**2 + 40/7*f - 2*f**5 + 0 - 14*f**3 = 0.
-4/7, 0, 1, 5
Let a(n) be the third derivative of 2*n**5/15 + 3*n**4/8 + 7*n**3/6 + 100*n**2 - n. Let t be a(-1). Let -2/3*c**2 + 4*c - t = 0. Calculate c.
3
Let x = 16171 + -64681/4. Factor 3/2*s - 3/4*s**3 + 0 - x*s**2.
-3*s*(s - 1)*(s + 2)/4
Let v = -1080/17 - -17297/272. Let m(r) be the second derivative of -5/2*r**2 - 2*r + 0 - 5/3*r**3 - 25/48*r**4 - v*r**5. Suppose m(k) = 0. What is k?
-2, -1
Let y(m) = -2*m**3 + 4*m + 4. Let p = 48 - 50. Let w be y(p). Factor -3*x**2 - 12 - 11 + w*x + 14.
-3*(x - 3)*(x - 1)
Let b(m) be the first derivative of 2/3*m**3 - 19*m + 0*m**2 - 1/6*m**4 + 7. Let w(d) be the first derivative of b(d). Determine g, given that w(g) = 0.
0, 2
Let w(q) = -2*q**2 + 2. Let o(h) be the second derivative of -5*h**4/4 + 143*h**3/6 + 34*h**2 + 169*h. Let c(g) = o(g) - 5*w(g). Factor c(d).
-(d - 29)*(5*d + 2)
Let p(i) be the second derivative of -i**6/90 - i**5/60 + 67*i**4/36 + 193*i**3/18 + 21*i**2 + 2*i - 1081. Suppose p(w) = 0. Calculate w.
-7, -2, -1, 9
Let k(b) = 8*b**2 + 2*b + 6. Let v(m) = -m**2 - 3*m. Let z(q) = -k(q) - 4*v(q). Let a(y) = -5*y**2 + 14*y - 9. Let w(l) = -5*a(l) + 7*z(l). Factor w(p).
-3*(p - 1)*(p + 1)
Let a(m) = -31*m**4 - 8*m**3 + 3*m + 3. Let o(s) = -134*s**4 - 33*s**3 - 2*s**2 + 13*s + 13. Let f(x) = -26*a(x) + 6*o(x). Factor f(i).
2*i**2*(i - 1)*(i + 6)
Let l(f) be the first derivative of -6*f**2 + 0*f - 8*f**3 - 46 - 15/4*f**4 - 3/5*f**5. Factor l(k).
-3*k*(k + 1)*(k + 2)**2
Let z = 104152 - 104149. Factor -3/5*h**z - 147/5*h + 42/5*h**2 + 0.
-3*h*(h - 7)**2/5
Let w(c) be the second derivative of 2*c**7/147 + 4*c**6/21 - 6*c**5/35 - 68*c**4/21 - 166*c**3/21 - 60*c**2/7 + 22*c + 1. Let w(x) = 0. Calculate x.
-10, -1, 3
Let r(q) be the first derivative of -2*q**5/25 - 3*q**4 + 194*q**3/15 - 66*q**2/5 - 935. Find c, given that r(c) = 0.
-33, 0, 1, 2
Let n(d) be the first derivative of d**6/24 + 33*d**5/20 - d**4/4 - 11*d**3 - 1086. Find b, given that n(b) = 0.
-33, -2, 0, 2
Let o(w) be the first derivative of 0*w - 142 + 5*w**2 - 7*w**5 - 55/3*w**3 + 20*w**4. Determine v, give