4/3*j + 0 + 8/9*j**3.
4*j*(j + 3)*(2*j - 1)/9
Let j(x) be the second derivative of 0 + 1/3*x**4 - 43*x + 8/3*x**3 + 0*x**2. Let j(q) = 0. What is q?
-4, 0
Let p(n) be the second derivative of n**6/15 + 34*n**5/5 + 715*n**4/3 + 8932*n**3/3 + 7569*n**2 - 1284*n. Find c such that p(c) = 0.
-29, -9, -1
Find y, given that -4/3*y**3 + 24*y + 1/6*y**4 + 0 - 2*y**2 = 0.
-4, 0, 6
Let v(g) = -g**3 + 9*g**2 + g + 2. Let u(h) = -18*h**3 + 171*h**2 - 206. Let o(d) = 2*u(d) - 34*v(d). Solve o(t) = 0.
-3, 5, 16
Suppose 0 = -13*n - 289 - 75. Let i be (1712/n)/(-4) - 2/7. Determine w, given that i*w**2 - w**3 - 1 - 12*w**2 - 2*w**2 + w = 0.
-1, 1
Let o(d) be the third derivative of 0*d - 1/80*d**6 - 399/16*d**4 - 41/40*d**5 + 441/4*d**3 + 0 - 10*d**2. Suppose o(v) = 0. Calculate v.
-21, 1
Factor 25 + 63 - 89*z - z + z**2 + z**2.
2*(z - 44)*(z - 1)
Factor 2/3 - z - 1/3*z**5 + 4/3*z**3 - 2/3*z**2 + 0*z**4.
-(z - 1)**3*(z + 1)*(z + 2)/3
Let s be 4/9*90/20. Factor 17*r**s - 20*r - 8*r**2 - 13*r**2 + 4*r + 20.
-4*(r - 1)*(r + 5)
Factor 492/5*z + 98 + 2/5*z**2.
2*(z + 1)*(z + 245)/5
Let r = 25095/4 + -75283/12. Factor r*k**2 + 7/6*k - 4/3.
(k - 1)*(k + 8)/6
Let f(k) be the third derivative of k**6/180 + k**5/5 + 5*k**4/12 - 34*k**3/9 + 2702*k**2. Factor f(r).
2*(r - 1)*(r + 2)*(r + 17)/3
Let v(c) be the second derivative of 4*c**2 - 10/3*c**3 + 4/5*c**5 - 8/15*c**6 + 2/3*c**4 + 2/21*c**7 + 27*c + 0. What is q in v(q) = 0?
-1, 1, 2
Let b(l) be the third derivative of -2/3*l**3 - 7/24*l**4 + 1/60*l**5 + 0 + 0*l - 9*l**2. Let w(p) = p + 1. Let z(y) = b(y) + 4*w(y). Factor z(i).
i*(i - 3)
Let p be ((-12)/(-4))/(54/8). Let t be (-5 - 1) + (370/90 - -3). Let -p*y - 8/9*y**3 + 0 + t*y**2 + 2/9*y**4 = 0. Calculate y.
0, 1, 2
Factor -40/7*s**2 + 48/7*s + 4/7*s**3 + 288/7.
4*(s - 6)**2*(s + 2)/7
Let i(h) be the second derivative of h**4/4 + 7*h**3 + 3*h**2/2 - 7*h + 13. Let v(r) = 4*r + 1. Let z(p) = -i(p) + 3*v(p). Factor z(n).
-3*n*(n + 10)
Let j(q) = -13*q**2 + 43*q - 41*q + 2*q**3 + 18 + q**3. Let h(p) = -2*p**3 + 6*p**2 - p - 9. Let a(x) = 5*h(x) + 3*j(x). What is i in a(i) = 0?
-9, -1, 1
Let m(n) be the third derivative of n**6/40 - 15*n**5 + 297*n**4/8 + 299*n**3 + 87*n**2 - 3. Let m(p) = 0. Calculate p.
-1, 2, 299
Let v be ((-10902)/36)/(-23) + 5/6. Let m be (-6)/4 + 24/192*v. Factor -m*p**3 + 1/4*p**2 + 0 + 1/2*p.
-p*(p - 2)*(p + 1)/4
Suppose 21*p - 718 - 584 = 0. Suppose p*y - 83*y = -42. Factor 3/7*i - 6/7 + 3/7*i**y.
3*(i - 1)*(i + 2)/7
Let u(i) be the first derivative of -380/39*i**3 - 162/13*i + 29 - 225/13*i**2 - 1/39*i**6 - 15/13*i**4 + 6/13*i**5. Factor u(y).
-2*(y - 9)**2*(y + 1)**3/13
Let y(r) = -r**3 + r + 4. Let n be 34/8 + (-2)/8. Let p(f) be the second derivative of -5*f**2/2 + 189*f + 3. Let d(s) = n*p(s) + 5*y(s). Factor d(z).
-5*z*(z - 1)*(z + 1)
Suppose -6*q = -5*n - 11*q + 20, 0 = 5*q. Let a be (17 - 4) + 1*2. Factor -13*d**n - 17*d**4 - 7*d**2 + a*d**2 + 8*d**3.
-2*d**2*(3*d - 2)*(5*d + 2)
Let w = 616 + -614. Let v(c) be the second derivative of 0 - 10*c + 0*c**4 + 0*c**3 - 1/21*c**7 - 1/10*c**5 + 2/15*c**6 + 0*c**w. Determine m so that v(m) = 0.
0, 1
Let f(g) = -45*g**3 + 95*g**2 + 110*g - 35. Let i(l) = -45*l**3 + 94*l**2 + 109*l - 36. Let j = -116 + 111. Let m(k) = j*i(k) + 6*f(k). What is r in m(r) = 0?
-1, 2/9, 3
Let d(z) be the first derivative of z**4/34 + 36*z**3/17 + 609*z**2/17 - 6728*z/17 + 523. Let d(b) = 0. Calculate b.
-29, 4
Suppose 820 - 871 = -7*z - j, 2*j = -2*z + 42. Let -14/13*c**4 - 8/13 - 4/13*c**z + 22/13*c**2 - 4/13*c**3 + 8/13*c = 0. Calculate c.
-2, -1, 1/2, 1
Let s(q) = q**5 - 463*q**4 + 12517*q**3 + 40360*q**2 + 41297*q + 13927. Let u(x) = -x**5 - x**4 - x**3 - x + 1. Let o(i) = -s(i) + 3*u(i). Factor o(f).
-4*(f - 59)**2*(f + 1)**3
Factor -62/3*y - 2/3*y**2 - 20.
-2*(y + 1)*(y + 30)/3
Factor 3*b**5 - 16*b**2 - b**5 - 39*b + 83*b + 4*b**4 - 52*b - 6*b**3.
2*b*(b - 2)*(b + 1)**2*(b + 2)
Suppose -m + 244*y - 248*y = 21, 0 = -m + 4*y + 35. Let j(v) be the second derivative of m*v + 2/3*v**3 - 1/5*v**5 + 0 + 6*v**2 - v**4. Solve j(f) = 0 for f.
-3, -1, 1
Let q = 14111/56188 + -16/14047. What is p in -q*p**5 + 21/4*p**3 + 0 + 5/4*p**4 + 2*p + 23/4*p**2 = 0?
-1, 0, 8
Let c(g) = 6*g**3 + 62*g**2 + 40*g - 22. Let b(m) = 13*m**3 + 126*m**2 + 77*m - 46. Let h(u) = 6*b(u) - 10*c(u). Solve h(z) = 0 for z.
-7, -1, 4/9
Let f be ((-80)/64)/(2/(-16)). Let r(j) = -j + 10. Let p be r(f). Let -45*k - 10 + 45*k**3 + 38*k**2 - 28*k**2 + p = 0. Calculate k.
-1, -2/9, 1
Let h = 5 + -3. Let z = -882981 + 3531927/4. Factor 3/2 - z*n**h + 3/4*n.
-3*(n - 2)*(n + 1)/4
Let g be (-678)/(-21) - (2 + (-36)/21). Let r = g + -30. Let 5*j**2 - 3*j**r + 7 - 4*j - 13 = 0. Calculate j.
-1, 3
Find h such that 0*h**5 + 285*h**4 + 227*h**4 - 171*h**3 - 3*h**5 - 150*h + 285*h**2 - 473*h**4 = 0.
0, 1, 2, 5
Let y(t) be the second derivative of -5/16*t**4 + 0 + 1/2*t**2 - 1/2*t**3 - 15*t - 1/20*t**5. Factor y(g).
-(g + 2)**2*(4*g - 1)/4
Solve -622/3*z + 2/9*z**3 - 310/3*z**2 - 934/9 = 0 for z.
-1, 467
Determine t so that -213*t**2 + 495/7*t**4 + 507/7*t**3 - 3/7*t**5 + 996/7 - 72*t = 0.
-2, -1, 1, 166
Let s = 4748/5 - 937. Let r = s - 247/20. Determine p, given that -r*p**2 + 1/4 + 0*p = 0.
-1, 1
Let q(b) be the first derivative of -b**4/20 + 18*b**3/5 - 486*b**2/5 + 115*b + 55. Let t(j) be the first derivative of q(j). Let t(s) = 0. What is s?
18
Suppose 92*x - 90*x = 382. Factor 198*q - 377*q + 18 + q**2 + 18 + x*q.
(q + 6)**2
Let s be 10/8 + (0 - 18/(-24)). Factor -2185*u + 2189*u - 6 + 14 - 4*u**s.
-4*(u - 2)*(u + 1)
Let p(s) be the first derivative of s**5/70 - s**4/42 - 16*s**3/21 + 16*s**2/7 + 15*s + 30. Let z(h) be the first derivative of p(h). Solve z(b) = 0.
-4, 1, 4
Let s be (-188)/376 + -5*12/(-90). Factor 1/3*f**2 - 1/3 - 1/6*f + s*f**3.
(f - 1)*(f + 1)*(f + 2)/6
Let y(g) = -g**3 - 11*g**2 + 37*g + 53. Let s(t) = -2*t**2 - 1. Let c(x) = 6*s(x) + 3*y(x). Let c(k) = 0. Calculate k.
-17, -1, 3
Let a(f) be the third derivative of f**6/300 - 11*f**5/30 + 208*f**4/15 - 676*f**3/5 - 1176*f**2. Solve a(o) = 0.
3, 26
Let r = 1982036003/1520412 + -151233/116. Let q = 2/771 - r. Factor 2/17 - q*o**5 + 4/17*o**3 - 4/17*o**2 + 2/17*o**4 - 2/17*o.
-2*(o - 1)**3*(o + 1)**2/17
Let g = -16066 - -16066. Let n(j) be the second derivative of g*j**2 - 2*j + 0 - 1/165*j**6 + 1/110*j**5 + 1/66*j**4 - 1/33*j**3. Solve n(l) = 0 for l.
-1, 0, 1
Let x(h) be the second derivative of h**6/25 - 334*h**5/5 + 928519*h**4/30 + 620498*h**3/15 - 32*h + 20. Factor x(y).
2*y*(y - 557)**2*(3*y + 2)/5
Let g(u) = -2*u**4 + u**2. Let t(q) = -18*q**4 - 8*q**3 + 151*q**2 - 352*q + 256. Let o(c) = 7*g(c) - t(c). Find w such that o(w) = 0.
-8, 2
Let x(a) be the second derivative of a**5/120 + 43*a**4/36 + 137*a**3/12 + 81*a**2/2 - 359*a. Find r such that x(r) = 0.
-81, -3, -2
Suppose 0 = -6*m - 2*m + 80. Suppose 4*g - 8 = 3*v, -5*g + 5*v - m = -10*g. Factor 8/7 + 10/7*k**3 + 34/7*k**g + 32/7*k.
2*(k + 1)*(k + 2)*(5*k + 2)/7
Let n(t) = t**3 - 17*t**2 - 170*t + 3012. Let y be n(16). Determine x so that y + 6*x + 1/4*x**2 = 0.
-12
Let d(c) be the first derivative of -5*c**3/3 + 5*c**2 + 7215*c - 8174. Suppose d(b) = 0. What is b?
-37, 39
Suppose 35*q**3 + 76 + 216*q**2 + q**5 + 182*q**2 - 459*q**2 + 30*q**4 - 9*q**4 - 72*q = 0. Calculate q.
-19, -2, 1
Factor -265124 + 432*c - 238075 - 2*c**2 - 317637 + 1380*c + c**2.
-(c - 906)**2
Let r = -7 + 9. Let t = 36 - 30. Factor -t*k + 3 - 322*k**3 - 5 + 320*k**3 - 6*k**r.
-2*(k + 1)**3
Let p = 1749/178 + -830/89. Solve p*i**2 - 2*i - 6 = 0 for i.
-2, 6
Let i(a) be the third derivative of -25/24*a**4 - a**2 - 6 - 1/12*a**5 + 0*a + 5*a**3. Factor i(g).
-5*(g - 1)*(g + 6)
Let z(r) be the second derivative of 169*r**5/10 + 5837*r**4/9 + 63140*r**3/9 - 47432*r**2/3 - 2781*r. Factor z(d).
2*(3*d - 2)*(13*d + 154)**2/3
Suppose 0 = -2*f - n - 4, 2*f - 12 = -2*n + 5*n. Suppose 0 = -2*r - f + 4. Factor -32*j + 7*j**2 + 24*j**2 - 4*j**3 - 7*j**r.
-4*j*(j - 4)*(j - 2)
Let q = 8 - 13. Let w(d) = -d**2 - 8*d + 3. Suppose -r - 19 = -3*t - 0*t, 0 = -r - 1. Let y(n) = -n**2 - 9*n + 4. Let x(s) = q*y(s) + t*w(s). Solve x(k) = 0.
-2, -1
Let d = -101110 + 101110. Factor 23/5*q**2 + 2/5*q + 21/5*q**3 + d.
q*(q + 1)*(21*q + 2)/5
Suppose -890*l + 533*l = -1071. Let -8 + 2/7