 66/5*n**3 - 16*n**4 - d*n**2 + 0 + 32/5*n**5 + 2/5*n.
2*n*(n - 1)**2*(4*n - 1)**2/5
Let b = 509849/202 + -2524. Let s = b - -401/606. Find j, given that -7/3*j**2 - s*j - 5/3*j**3 + 0 = 0.
-1, -2/5, 0
Let j(n) be the third derivative of 0*n + 0 + 19/12*n**5 - 3/2*n**3 - 12*n**2 + 5/6*n**6 + 1/4*n**4. Find x such that j(x) = 0.
-3/5, 1/4
Let n(r) be the third derivative of -14*r**2 - 20/27*r**3 + 14/27*r**4 + 0 - 1/60*r**6 - 11/90*r**5 + 0*r. Factor n(b).
-2*(b + 5)*(3*b - 2)**2/9
Let w be (-5)/(90/38) - (-2)/1. Let k = w + 43/63. Solve 2/7*n**4 + 0 + 0*n**3 + k*n - 6/7*n**2 = 0.
-2, 0, 1
Determine b so that 248*b**2 - 61504*b + 15252992/3 - 1/3*b**3 = 0.
248
Suppose -2*k - 4 = -20. Let a(f) = -2*f**3 - 3*f**2 + f + 2. Let z be a(-2). Suppose 4*v - 4*v - z*v - k*v + 4*v**3 - 8 = 0. Calculate v.
-1, 2
Factor 3*g**5 - 24*g**4 + 3*g**2 + 72*g**2 - 11*g**2 - 192*g + 29*g**2 + 3*g**2 + 36*g**3.
3*g*(g - 4)**2*(g - 2)*(g + 2)
Let v = 87581/5 - 17505. Suppose -4*p**3 - 52/5*p - 16/5 - v*p**2 = 0. Calculate p.
-1, -4/5
Let x = -2 - -6. Let p be (1*x/(-6))/(117/(-27)). Suppose 2/13 + p*j**2 + 4/13*j = 0. Calculate j.
-1
Let m(a) be the second derivative of 5*a**7/42 - 4*a**6/3 + 23*a**5/4 - 35*a**4/3 + 10*a**3 - 2*a + 28. Factor m(l).
5*l*(l - 3)*(l - 2)**2*(l - 1)
Let f(g) = 6*g**4 - 7*g**3 - 55*g**2 + 21*g + 42. Let u(z) = -z**4 - z**3 + z**2 - z + 1. Let x(w) = -3*f(w) - 21*u(w). Factor x(t).
3*(t - 1)*(t + 1)*(t + 7)**2
Suppose 0 = 6*g - 6549 + 2433. Factor -2*q**2 - g + 20*q + 3*q**2 + 786.
(q + 10)**2
Let d be 3 + ((-6)/(-22) - 809/264). Let a(q) be the second derivative of -1/4*q**2 + 1/40*q**5 - d*q**3 + 0 - 1/48*q**4 - 12*q. Factor a(t).
(t - 2)*(t + 1)*(2*t + 1)/4
Let l(o) = -o**2 - 3*o. Let m(y) = -3*y**2 - 10*y - 1. Suppose 3*a - 20 = -8. Suppose -4*r + a = -3*r. Let h(q) = r*m(q) - 14*l(q). Solve h(v) = 0.
-2, 1
Suppose 5*q - 5*a = 40, 2*q + a = 2*a + 12. Suppose 3*v - 3 = -c, -5*c + 15 = 4*v - 0*c. Factor -4*x + 2 - q*x**2 + 3 + 3 + v.
-4*(x - 1)*(x + 2)
Let t(a) be the second derivative of a**4/6 + 7*a**3 - 22*a**2 + 35*a. Find f, given that t(f) = 0.
-22, 1
Suppose -3*p = 2*p - 25. Suppose p*l + 12 = 11*l. Factor -2*q**l - 2 + 20*q - 13*q - 11*q.
-2*(q + 1)**2
Factor -1/6*f**2 + 20/3*f - 200/3.
-(f - 20)**2/6
Factor -2/3*i**3 + 2*i**2 + 16*i + 56/3.
-2*(i - 7)*(i + 2)**2/3
Let s(g) be the first derivative of 2*g**5/5 - g**4/2 - 10*g**3 - 23*g**2 - 20*g + 91. Let s(r) = 0. Calculate r.
-2, -1, 5
Let w(n) be the first derivative of -n**3/6 + 19*n**2/4 + 80. Let w(u) = 0. Calculate u.
0, 19
Let v(c) = -2*c + 4 - 2*c + 5*c + 6*c**2 - 5. Let a be v(1). Find j such that -8*j + 6*j + 3*j**3 + 5*j - a*j**2 = 0.
0, 1
Let t(h) = -h**2 - 10*h - 12. Let r be t(-7). Suppose 5*w - 9 = -4*o + 38, -3*w + r = 0. Factor 5*s**2 + 3*s + 0*s**2 - o*s**2 + 6.
-3*(s - 2)*(s + 1)
Factor 24 - 8*z + 1/2*z**2.
(z - 12)*(z - 4)/2
Factor 1 - 1 - 15*m**4 - 14371*m**3 - 20*m + 14406*m**3.
-5*m*(m - 2)*(m - 1)*(3*m + 2)
Let x be (21 + -9)/(-12) + 7. Let j(u) be the second derivative of x*u**2 - 2*u**3 - 3/4*u**4 + 0 + 1/10*u**6 - 8*u + 3/10*u**5. Factor j(p).
3*(p - 1)**2*(p + 2)**2
Find x, given that -2/9*x**2 + 196/9*x + 22 = 0.
-1, 99
Let m = 77 - 73. Determine y, given that m*y**2 + 50*y + y**2 - 22*y - 13*y = 0.
-3, 0
Let z = 370/17 + -3296/153. Factor -z*m**5 + 0*m - 4/9*m**4 + 0*m**2 + 0 - 2/9*m**3.
-2*m**3*(m + 1)**2/9
Factor 0 - 2/3*h + 2/9*h**4 - 2/9*h**3 - 10/9*h**2.
2*h*(h - 3)*(h + 1)**2/9
Suppose -5*p - 4*d + 114 = -2, -80 = -3*p - 5*d. Let z = p + -15. Find l, given that 0*l + 2*l**4 - 2/3*l**z + 0 - 2*l**3 + 2/3*l**2 = 0.
0, 1
Let h(u) be the third derivative of 0*u + 1/75*u**7 - 9*u**2 + 34/75*u**5 + 0*u**3 + 11/75*u**6 + 4/15*u**4 + 0. Suppose h(v) = 0. Calculate v.
-4, -2, -2/7, 0
Let y(b) be the second derivative of -b**4/90 + 2*b**3/45 + b**2/5 - 29*b + 1. Find m such that y(m) = 0.
-1, 3
Factor -2/3*g**4 + 2/3*g**2 - 16/3*g + 8/3 + 10/3*g**3 - 2/3*g**5.
-2*(g - 1)**3*(g + 2)**2/3
Factor -6 + 40/7*w + 2/7*w**2.
2*(w - 1)*(w + 21)/7
Suppose 0*t + 20 = 4*t. Suppose -t*r + 2*j = -14, 4*r - 18 = -0*r + 5*j. Suppose 4*w + 5*w**2 + w**2 + 0*w + 0*w**2 + r*w**3 = 0. Calculate w.
-2, -1, 0
Suppose 0 = -j - 4, -3*j + 52 = 5*u - 41. Let o = u + -21. Let o - 2/5*s**3 - 2/5*s**2 + 2/5*s**4 + 2/5*s = 0. What is s?
-1, 0, 1
Let n(s) be the second derivative of 5*s**7/21 - 7*s**6/15 - 3*s**5/10 + 7*s**4/6 - 2*s**3/3 - 127*s. Determine i, given that n(i) = 0.
-1, 0, 2/5, 1
Suppose 4*w = 5*w - 2. Suppose -u = 2*l - 11, u = -w*u - 5*l + 29. Factor -3/4*x**4 - 3/2*x - 15/4*x**2 + 0 - u*x**3.
-3*x*(x + 1)**2*(x + 2)/4
Let z(p) be the first derivative of -p**5/90 - p**4/9 + 53*p**2/2 - 6. Let b(h) be the second derivative of z(h). Factor b(a).
-2*a*(a + 4)/3
Suppose 0 = 9*w - 38*w + 87. Suppose -6*m**w + 6 + 6*m - 3/2*m**4 - 9/2*m**2 = 0. What is m?
-2, -1, 1
Let s be (92/(-1081))/(2/(-47)). Factor 2/7 - 1/7*a - 1/7*a**s.
-(a - 1)*(a + 2)/7
Suppose -91*w = -96*w. Suppose 2*m + 0*m = w. Factor 0*h - 2/9*h**5 + 2/3*h**3 - 4/9*h**2 + m + 0*h**4.
-2*h**2*(h - 1)**2*(h + 2)/9
Let b(h) be the third derivative of h**6/120 - h**5/20 - 17*h**4/24 + 5*h**3/6 - 5*h**2 + 5. Let f be b(-3). Solve 1/6 - 1/3*a + 1/6*a**f = 0 for a.
1
Let u be 49/5 - (-2)/10. Factor 16 - u + b - 4*b**2 + b**3 - 5*b**2 + 5*b**2.
(b - 3)*(b - 2)*(b + 1)
Factor 440/7*g - 12/7*g**2 + 148/7.
-4*(g - 37)*(3*g + 1)/7
Let r(a) = -a**3 + 42*a**2 - 204*a + 212. Let g(f) = f**3 + 1. Let b(j) = 4*g(j) + r(j). Determine w so that b(w) = 0.
-18, 2
Factor 10*a + 179*a**2 + 179*a**2 - 356*a**2.
2*a*(a + 5)
Let n(p) be the third derivative of p**7/1050 - 7*p**6/600 - 17*p**5/150 + p**4/3 + 2*p**2 - 41. Factor n(o).
o*(o - 10)*(o - 1)*(o + 4)/5
Let a(q) = -11*q**3 + 10*q**2 + 15*q + 6. Let s(f) = -155*f**3 + 140*f**2 + 210*f + 85. Let z = 15 - 21. Let p(v) = z*s(v) + 85*a(v). Factor p(b).
-5*b*(b - 3)*(b + 1)
Let -8/7 + 120/7*b - 578/7*b**4 - 1020/7*b**3 - 314/7*b**2 = 0. What is b?
-1, 2/17
Let f(t) be the third derivative of t**6/420 + t**5/35 - 32*t**3/21 - 2*t**2 - 29*t. Find o such that f(o) = 0.
-4, 2
Let u(o) be the first derivative of 14*o**5/95 - 8*o**4/19 + 22*o**3/57 - 2*o**2/19 + 33. Find j such that u(j) = 0.
0, 2/7, 1
Let c(b) be the second derivative of b**7/84 - 4*b**6/15 - 386*b. Factor c(p).
p**4*(p - 16)/2
Let 64 + 19*i**2 + 33*i**3 + 5*i**2 - 31*i**3 + 64 + 96*i = 0. Calculate i.
-4
Let o(v) be the first derivative of 0*v - 1/5*v**5 + 1/4*v**4 + 1/3*v**3 + 10 - 1/2*v**2. Suppose o(x) = 0. Calculate x.
-1, 0, 1
Solve -9 - 3/4*f**2 - 39/4*f = 0 for f.
-12, -1
Let u be 285/(-45) + 2/6. Let y = 10 + u. Find z such that -2*z**2 + y*z**2 - 5 + 4*z + 5 + 2 = 0.
-1
Let h be ((-6)/(-4))/(30/260). Let y(a) = a**3 - 12*a**2 - 13*a + 1. Let r be y(h). Find z, given that -z**4 - r + 1 - z**3 = 0.
-1, 0
Suppose 3*x = -0*x + 12. Let u be (-2 + x + -6)/(-11). Find t, given that -6/11*t**2 - 4/11*t + 6/11*t**4 + 0 + u*t**3 = 0.
-1, -2/3, 0, 1
Let o be (19/5 - 0) + 6/30. Let m be 88/112 - o/14. Solve -1/2*d**2 - m - d = 0 for d.
-1
Let c(w) be the first derivative of -3/2*w**4 + 0*w**2 + 0*w**3 + 3/5*w**5 + 0*w - 6. Factor c(b).
3*b**3*(b - 2)
Let g be 4/14 - 384/(-28). Factor b**3 + 6*b - 408*b**2 + g*b**3 + 387*b**2.
3*b*(b - 1)*(5*b - 2)
Let u = -7324 + 7324. Factor 1/6*i**5 + 0*i**4 - 1/2*i**3 + 0*i + u - 1/3*i**2.
i**2*(i - 2)*(i + 1)**2/6
Let a(x) be the second derivative of 0 + 1/24*x**3 + 0*x**2 + 13*x - 1/8*x**4. Solve a(n) = 0 for n.
0, 1/6
Let c(u) be the third derivative of u**5/180 - 17*u**4/72 + 8*u**3/9 + 117*u**2. Let c(m) = 0. What is m?
1, 16
Suppose 16*d - 18*d = 4*v + 12, -4*d - 5*v - 12 = 0. Let a(t) be the first derivative of 4/27*t**3 + 0*t**d + 0*t**4 - 5 - 2/45*t**5 - 2/9*t. Factor a(k).
-2*(k - 1)**2*(k + 1)**2/9
Let u be 9/(-10)*(268/(-8) - -26). Factor 3/4*g**2 + u + 9/2*g.
3*(g + 3)**2/4
Let t be ((-55)/(-15) - 4)/(1/(-9)). Let j be (-1 - -1)/((-9)/t). Factor 0*q - q**2 + 1/2*q**3 + j.
q**2*(q - 2)/2
Suppose -11*m = 4*m - 60. Determine x so that -2085/2*x**m + 471*x**2 + 6*x + 153/2*x**3 + 525*x**5 - 36 = 0.
-2/5, 2/7, 1, 3/2
Let v(q) = -19*q**4 + 537*q**3 + 1265*q**2 + 843*q + 148. Let r(m) = 13*m**4 - 358*m**3 - 844*m**2 - 562*m - 99. Let o(s) = -7*r(s) - 5*v(s). Factor o(w).
(w -