) be the second derivative of 5*t - 1/10*t**5 + 64*t**2 - 16*t**3 + 2*t**4 + 0. Solve x(u) = 0.
4
Suppose 10*y + 847 = -1463. Let b = -1151/5 - y. Find c, given that -26/5*c**2 - 48/5*c - 18/5 - b*c**3 = 0.
-3, -1/2
Let d(y) be the third derivative of -y**6/120 + 7*y**5/60 + y**4/24 - 7*y**3/6 + 21*y**2 - y. Factor d(r).
-(r - 7)*(r - 1)*(r + 1)
Let b(t) be the second derivative of 12*t**5/35 + 29*t**4/21 + 46*t**3/21 + 12*t**2/7 - 43*t + 2. Suppose b(u) = 0. What is u?
-1, -3/4, -2/3
Let w(t) = -18*t**2 - 45*t - 72. Let c(b) = -10*b**2 - 22*b - 36. Let j(q) = 10*c(q) - 6*w(q). Factor j(p).
2*(p + 4)*(4*p + 9)
Let c = -2/395 + 190/79. Factor 3/5*f**3 - 9/5*f**2 + c + 0*f.
3*(f - 2)**2*(f + 1)/5
Suppose -3*p - 15 = 0, 3*n - 5*p - 415 = -2*n. Let f = n - 76. Factor -2/5*t**3 - 8/5*t + 8/5*t**f + 0.
-2*t*(t - 2)**2/5
Let i(l) = -l**2 + 8*l + 1. Let j be i(5). Suppose -4*a + j = 0, -3 = u - 4*a + 8. Factor 0 + 0*k**4 + 0*k**2 - 1/3*k**u + 0*k + 1/3*k**3.
-k**3*(k - 1)*(k + 1)/3
Let i be (7 + 2)/54 + 3/18. Factor 4/3*q - 2/3*q**3 - 4/3 - i*q**4 + q**2.
-(q - 1)**2*(q + 2)**2/3
Let 3*c + 5/2*c**5 - 9/4*c**4 - 8*c**2 - 27/2*c**3 + 9/4 = 0. What is c?
-1, -3/5, 1/2, 3
Let 25*k**3 + 7 + 11*k**3 + 3*k + 17*k**2 - 30*k - 5*k**3 - 4*k**5 - 24*k**4 = 0. What is k?
-7, -1, 1/2, 1
Let s be 1/(-5) + 833/245. Find i, given that 16/5*i + 4/5*i**2 + s = 0.
-2
Solve -5*o**5 + 10*o**4 - 45*o**3 - 316*o + 35*o**4 + 1066*o - 425*o**2 = 0.
-3, 0, 2, 5
Let y(n) be the first derivative of -2*n**7/1155 + n**6/660 + 25*n**2/2 + 39. Let v(z) be the second derivative of y(z). Factor v(b).
-2*b**3*(2*b - 1)/11
Let x = 7223/5 + -1443. Solve 2/5*h**5 - 8/5*h**4 + 8/5*h**2 - x*h + 6/5*h**3 + 0 = 0.
-1, 0, 1, 2
What is c in -3/4*c - 3/4*c**2 + 9 = 0?
-4, 3
Let y = 1072 + -1069. Let f = 28 - 26. Factor -2/13*c + 0 - 2/13*c**y + 4/13*c**f.
-2*c*(c - 1)**2/13
Let h = -45 + 369/8. Let i(q) be the second derivative of h*q**2 + 1/2*q**3 + 1/16*q**4 - q + 0. Factor i(g).
3*(g + 1)*(g + 3)/4
Suppose -15*k + 96 = 66. Let t(d) be the first derivative of 0*d + 6*d**k + 2*d**5 - 6*d**4 - 22/3*d**3 - 5. Let t(f) = 0. Calculate f.
-1, 0, 2/5, 3
Let c = -6358 - -6360. Determine k, given that 0 - k - 1/2*k**3 - 3/2*k**c = 0.
-2, -1, 0
Let w = 11267/9 - 1251. Solve 0*f + 0 - w*f**4 + 2/9*f**5 + 10/9*f**3 - 4/9*f**2 = 0.
0, 1, 2
Let g(r) be the third derivative of -r**7/1365 + r**6/65 - 11*r**5/390 + 111*r**2. Factor g(a).
-2*a**2*(a - 11)*(a - 1)/13
Let w be 2 - (0 - 0 - -4) - -12. Let 11*z**2 - 16*z**2 + w*z + 2 - 7 = 0. What is z?
1
Let z(u) = 38*u**3 - 34*u**2 + 108*u - 120. Let t(b) = -7*b**3 + 7*b**2 - 22*b + 24. Let j(r) = -11*t(r) - 2*z(r). Let j(o) = 0. What is o?
2, 3, 4
Let f(a) be the first derivative of 8 - 1/4*a**2 + 0*a**3 + 0*a + 1/8*a**4. Solve f(p) = 0.
-1, 0, 1
Let y(f) be the second derivative of f**5/30 + 13*f**4/72 - f**3/18 - 5*f**2/4 - 90*f + 2. Suppose y(n) = 0. What is n?
-3, -5/4, 1
Let n = 1035359 + -15536252/15. Let h = -391 - n. Suppose 4/15*t**3 + 0*t**4 - 2/15*t + 0 + 0*t**2 - h*t**5 = 0. Calculate t.
-1, 0, 1
Let w(o) be the third derivative of o**6/8 + 11*o**5/24 + 5*o**4/12 + 4*o**3 - 7*o**2. Let b(t) be the first derivative of w(t). Factor b(p).
5*(p + 1)*(9*p + 2)
Let z(l) be the third derivative of -l**7/20160 - l**6/1920 - l**5/480 + l**4/2 - 29*l**2. Let g(p) be the second derivative of z(p). Factor g(j).
-(j + 1)*(j + 2)/8
Let x be 36/30 - (-8 - 2920/(-350)). Factor 8/7*t**2 + x*t**3 - 8/7*t + 0.
2*t*(t + 2)*(3*t - 2)/7
Let u(g) be the second derivative of 0 - 25/42*g**4 - 11/105*g**6 - 30*g + 0*g**2 + 0*g**3 + 1/147*g**7 + 1/2*g**5. Determine n, given that u(n) = 0.
0, 1, 5
Suppose 3*c + 3*c = 378. Suppose c*v = 60*v. Find j, given that -2/7*j**5 + v*j**3 + 0*j - 3/7*j**4 + 1/7*j**2 + 0 = 0.
-1, 0, 1/2
Determine y so that -20 + 13 - 33 + 2221*y**2 - 2257*y**2 - 154*y = 0.
-4, -5/18
Let x = -15246 - -15246. Determine i, given that -2*i**5 - 25/7*i**4 + x + i**2 - 6/7*i**3 + 2/7*i = 0.
-1, -2/7, 0, 1/2
Let y(n) be the first derivative of 1/3*n**4 + 0*n - 2/9*n**3 - 5 + 0*n**2. What is k in y(k) = 0?
0, 1/2
Let r(o) be the first derivative of 14*o**6/3 + 8*o**5 + 3*o**4 + 110. Determine p so that r(p) = 0.
-1, -3/7, 0
Let i(b) be the first derivative of -26 + 0*b - 10/3*b**3 - 25/4*b**4 - 1/2*b**2. Factor i(y).
-y*(5*y + 1)**2
Let 4 + 10 - 14 - 44*u - 4*u**2 = 0. Calculate u.
-11, 0
Let x(s) = s + 3. Let w be x(-1). Factor 4 + 0*i - 2*i**w + i**2 + 3*i.
-(i - 4)*(i + 1)
Let j(g) = -g**3 + g**2 + 2*g - 1. Let y(l) = -6*l**3 + 43*l**2 - 49*l + 11. Let p(k) = 5*j(k) + 5*y(k). Factor p(w).
-5*(w - 5)*(w - 1)*(7*w - 2)
Let d(n) = 3*n - 23. Let g be d(8). Let z(b) = 10*b**3 - 9*b**2 - b - 3. Let x(q) = -q**3 - q**2 - q + 1. Let a(o) = g*z(o) + 3*x(o). Factor a(p).
p*(p - 2)*(7*p + 2)
Factor -32/3*h**3 + 0 - 4/3*h**4 - 40/3*h - 68/3*h**2.
-4*h*(h + 1)*(h + 2)*(h + 5)/3
Let n = -33 + 25. Let j(t) = -t**2 - 10*t - 16. Let h be j(n). Factor 0 + 3/2*w**4 + 1/2*w**2 - 1/2*w**5 - 3/2*w**3 + h*w.
-w**2*(w - 1)**3/2
Let q be 17 + (8/(-28) - (-2)/7). Let s(b) = -20*b**2 + 8*b + 11. Let j(n) = 7*n**2 - 3*n - 4. Let l(v) = q*j(v) + 6*s(v). Let l(r) = 0. What is r?
-2, -1
Let n(j) = 93*j + 1118. Let c be n(-12). Factor 1/3*a**c - 4/3*a + 1.
(a - 3)*(a - 1)/3
Factor -18/5*j**2 - 1/5*j**3 - 81/5*j + 0.
-j*(j + 9)**2/5
Let b(k) be the second derivative of -k**5/70 - 5*k**4/21 + 37*k**3/21 - 26*k**2/7 - 2*k + 351. Solve b(j) = 0 for j.
-13, 1, 2
Let -3/2*b + 3/2*b**3 - 9/2*b**2 + 9/2 = 0. What is b?
-1, 1, 3
Let r be 2/(-4) - (-51)/6. Let t be (-12)/10*5/(-2). Suppose -2*d**3 - d**2 - r*d + 6*d - t*d**2 = 0. Calculate d.
-1, 0
Let j(q) be the second derivative of 1 + q**2 + 5/24*q**4 + 9*q + q**3. Solve j(i) = 0 for i.
-2, -2/5
Let z(h) = -h**3. Let o(w) = 9*w**3 + 12*w**2 - 16*w. Let t(a) = o(a) + 5*z(a). Solve t(m) = 0 for m.
-4, 0, 1
Suppose -9/2 + 3/4*a**2 - 3/4*a = 0. What is a?
-2, 3
Let j(n) = -45*n - 1123. Let y be j(-25). Suppose -2/9*h**3 + 0 + 2/9*h + 0*h**y = 0. What is h?
-1, 0, 1
Let v(q) be the first derivative of 8*q**6 - 34*q**4 - 76*q**3 - 56*q**2 + 44/5*q**5 - 12 - 16*q. Determine t, given that v(t) = 0.
-1, -2/3, -1/4, 2
Suppose -27*k + 22*k + 14 = -3*o, 5*k + o = 22. Suppose -12/7*m**3 + 18/7*m**2 - 12/7*m + 3/7 + 3/7*m**k = 0. What is m?
1
Let f = 1/67 + -739/134. Let i = -31/6 - f. Factor 4/3*y**2 + 2/3 + 5/3*y + i*y**3.
(y + 1)**2*(y + 2)/3
What is q in -11*q**2 + 10*q**2 - 63 - 56 + 132 + 12*q = 0?
-1, 13
Let n be (-6 - -4) + (-18)/(-8). Let t(d) = 2*d + 3. Let w be t(0). Factor 20*i**w - 40*i**2 - 15/4*i**4 + 0*i + 64 + n*i**5.
(i - 4)**4*(i + 1)/4
Let o(f) be the third derivative of -f**6/12 + 14*f**5/15 - 7*f**4/3 - 16*f**3/3 - 22*f**2. Factor o(k).
-2*(k - 4)*(k - 2)*(5*k + 2)
Let h be 17/((-1071)/(-6))*3. Let g(c) be the first derivative of 1/7*c**3 - 4 + 0*c - h*c**6 + 0*c**2 - 9/14*c**4 + 27/35*c**5. Factor g(x).
-3*x**2*(x - 1)**2*(4*x - 1)/7
Let q(n) = -2*n + 35. Let j be q(16). Find s such that -20*s**2 - 6*s - 4 + 12 + 15*s**j + s + 2 = 0.
-2/3, 1
Let c(z) be the first derivative of 6*z**3/19 + 138*z**2/19 + 1058*z/19 - 53. What is p in c(p) = 0?
-23/3
Let v(b) be the first derivative of -7*b**4 - 2*b**3 + 14*b**2 + 6*b - 212. Solve v(m) = 0.
-1, -3/14, 1
Suppose -5*x + 260 = -5*w, x = -4*w + 6*w + 102. Let a be w/(-630) - (-2)/14. Factor 2/9*g - 2/9*g**3 + a*g**4 - 2/9*g**2 + 0.
2*g*(g - 1)**2*(g + 1)/9
Let u(l) be the second derivative of l**5/80 - l**4/12 + l**3/8 + 130*l - 3. Suppose u(c) = 0. Calculate c.
0, 1, 3
Factor 0 + 28/11*q - 10/11*q**2 - 2/11*q**3.
-2*q*(q - 2)*(q + 7)/11
Let m(b) be the first derivative of 2*b**3/57 - 100*b**2/19 + 5000*b/19 + 145. Let m(f) = 0. Calculate f.
50
Find a such that -3/5*a**5 + 21/5*a**2 - 8/5 + 2/5*a + 1/5*a**3 - 13/5*a**4 = 0.
-4, -1, 2/3, 1
Let z be (-3)/4 + 93/12. Factor -g - g**3 + 8*g**2 - z*g - g**3 - 2*g + 4.
-2*(g - 2)*(g - 1)**2
Let i(v) be the second derivative of -v**4/18 + 34*v**3/9 + 152*v**2/3 + 14*v - 2. Factor i(c).
-2*(c - 38)*(c + 4)/3
Let d(l) be the first derivative of -1/11*l**3 - 7*l - 1/22*l**4 - 1/110*l**5 - 5 - 1/11*l**2. Let z(r) be the first derivative of d(r). Factor z(t).
-2*(t + 1)**3/11
Let w(l) be the second derivative of -1/20*l**5 + 0 + 12*l - 5/18*l**3 + 1/4*l*