. Let d be i(s). Solve 2/5*y**d + 2/5 + 12/5*y**2 + 8/5*y + 8/5*y**3 = 0.
-1
Let k(z) be the second derivative of 3/5*z**2 + 2/15*z**3 - 3 + 1/90*z**4 - 22*z. Factor k(o).
2*(o + 3)**2/15
Let m(h) = 7123*h - 14244. Let r be m(2). Let -5/3 - 19/3*p - 26/3*p**r - 14/3*p**3 + 1/3*p**5 - 1/3*p**4 = 0. Calculate p.
-1, 5
Let z = -176 - -217. Factor -t - 4*t**2 - 196 - z*t - 20*t + 6*t.
-4*(t + 7)**2
Let w be -6 - ((-26613)/2015 + 0/(-31)). Let r = w + -3/403. Let 51/5*p**4 - 9/5*p**5 + 0*p + r*p**2 + 0 - 84/5*p**3 = 0. What is p?
0, 2/3, 2, 3
Let r(n) = -n + 13. Let d be r(12). Let v = 115887 - 115885. Solve -d - 1/2*l + 1/8*l**3 - 1/8*l**4 + 3/4*l**v = 0 for l.
-2, -1, 2
Suppose 3*p = 17 + 1. Let a(n) = -11*n**2 - 17*n + 17. Let l(y) = 17*y + 13*y + 6 - 76*y - 4*y**2 + 18*y + 22*y. Let u(v) = p*a(v) - 17*l(v). Factor u(d).
2*d**2
Let b(n) be the first derivative of -13*n**4/72 - 2*n**3/3 + n**2/3 - 164*n - 53. Let f(m) be the first derivative of b(m). Let f(l) = 0. Calculate l.
-2, 2/13
Let i(t) be the first derivative of 4*t**3/15 - 8*t**2 - 100*t + 1614. What is a in i(a) = 0?
-5, 25
Let z(x) be the second derivative of x**6/72 + x**5/4 - 10*x**4/3 + 85*x**3/6 - 115*x. Let c(v) be the second derivative of z(v). What is t in c(t) = 0?
-8, 2
Let 6*h - 9/2*h**2 + 6 - 6*h**3 - 3/2*h**4 = 0. What is h?
-2, -1, 1
Suppose -106*l**3 + 2644*l + 194*l**3 + 16*l**2 + 1760 - 86*l**3 + 870*l**2 = 0. Calculate l.
-440, -2, -1
Let u(g) = g**3 + 1. Let c be u(1). Suppose -5*f - 63 + 85 = -4*m, -5*m - 5*f = -40. Let 0 - 2*s - 16/3*s**m + c*s**3 = 0. Calculate s.
-1/3, 0, 3
Find t, given that -57/8*t + 3/4 + 99/8*t**5 + 18*t**2 - 75/4*t**4 - 21/4*t**3 = 0.
-1, 2/11, 1/3, 1
Let k(l) be the third derivative of 0*l + 3/10*l**5 - 17*l**2 + 0 + 4*l**3 - 1/40*l**6 - 3/2*l**4. Factor k(t).
-3*(t - 2)**3
Suppose 36*v**2 - 131*v**2 - 421*v**3 + 418*v**3 - 85*v**2 = 0. What is v?
-60, 0
Let y(x) be the first derivative of 2/3*x**3 + 44*x**2 - 93 + 968*x. Factor y(t).
2*(t + 22)**2
Let q = 2093 + -2093. Let g(p) be the first derivative of 1/3*p**3 - p - 1 + q*p**2. Factor g(x).
(x - 1)*(x + 1)
Let o be (-6)/(-28)*(236/6 + -1080 + 1098). Determine r, given that 2/7*r**3 + 40/7*r**2 - o*r + 44/7 = 0.
-22, 1
Let v(b) = -188*b**3 - 2630*b**2 + 28*b + 4. Let o be v(-14). Determine p so that 10/7*p**o - 1/7*p**3 - 25/7*p**5 + 0*p + 0 + 0*p**2 = 0.
0, 1/5
Suppose -2*y = 2*h - 18, 7*y - 15 = 4*y + h. Suppose y = 46*d - 43*d. Find t, given that 48*t**3 - 3/2*t**4 + 3072*t - 6144 - 576*t**d = 0.
8
Suppose 45*z + 7 = -u + 48*z, -3 = -z. Let 16/3*c**u + 0 - 2/3*c = 0. Calculate c.
0, 1/8
Let u(x) be the second derivative of -x**7/21 + 3*x**6 - 43*x**5/10 - 15*x**4/2 + 44*x**3/3 - 9*x - 76. Suppose u(t) = 0. What is t?
-1, 0, 1, 44
Let x(c) = c**2 - 2436*c - 91498. Let u be x(-37). Factor 23/3*w**2 + 7 - 1/3*w**u - 43/3*w.
-(w - 21)*(w - 1)**2/3
Let 161*n**2 - 280*n**4 + 96 + 340*n - 5*n**2 + 135*n**4 + 142*n**4 - n**3 = 0. Calculate n.
-6, -2, -1/3, 8
Let p(g) be the third derivative of -g**6/320 - 3*g**5/160 + 3*g**4/32 + g**3/2 + 6982*g**2. Suppose p(y) = 0. Calculate y.
-4, -1, 2
Let n be 5 + -1 - 1000/100 - 71/(-11). Factor 4/11 + 1/11*o**2 + n*o.
(o + 1)*(o + 4)/11
Let h be 0 + 0 + -4 + 524/2. Find i, given that -51 - 150*i**4 - 1200*i**2 + 34*i - 106*i**4 + 1728*i**3 + h*i + 27 = 0.
1/4, 6
Let z(b) be the second derivative of b**5/20 + 115*b**4/3 + 53357*b**3/6 + 52441*b**2 - 2*b + 469. Find l, given that z(l) = 0.
-229, -2
Suppose 0*a + i = 3*a - 50, -4*a = -3*i - 75. Suppose -11 = -a*v + 19. Let -2/3*b - 13/3*b**v + 8/3 - b**3 = 0. Calculate b.
-4, -1, 2/3
Suppose -8*i = -16*i + 9*i. Let a be i/(((-5)/(-2 - 3))/(-1)). Solve 6/11*u**4 + a - 8/11*u**2 - 2/11*u**5 + 0*u**3 + 0*u = 0.
-1, 0, 2
Factor 203/4 - 1/4*d**2 - 11/2*d.
-(d - 7)*(d + 29)/4
Let r(n) = -n**2 - 12*n + 28. Let t be r(2). Suppose t = 9*q - 0*q - 2*q. Solve 0*i**2 + 2/7*i**4 + 0 + q*i + 6/7*i**3 = 0 for i.
-3, 0
Let g(z) = -z. Let c(k) = -755*k**2 + 376*k**2 + 8*k + 374*k**2 - 4*k. Let a(m) = 2*c(m) + 10*g(m). Determine q so that a(q) = 0.
-1/5, 0
What is d in -19*d**2 + 0 - 6*d + 51/4*d**4 + 21/2*d**3 + 7/4*d**5 = 0?
-6, -2, -2/7, 0, 1
Suppose 3*l - 2 = 4*t - 1, -1 = -2*t + l. Let -t*j**2 + 25 - 34 + 8*j + 19 = 0. What is j?
-1, 5
Let x(s) = 318*s + 3503. Let g be x(-11). Let j(p) be the third derivative of 0 + 1/840*p**6 - 1/21*p**3 + 0*p + 5/168*p**4 - 1/105*p**g + 19*p**2. Factor j(l).
(l - 2)*(l - 1)**2/7
Suppose 15*a = 12*a + 33. What is q in -2*q**2 + 30 - q - 27*q + a*q - 11*q = 0?
-15, 1
Let n(l) be the second derivative of l**7/399 - 42*l**5/95 + l**4/57 + 81*l**3/19 - 162*l**2/19 - 9273*l. Suppose n(v) = 0. Calculate v.
-9, -2, 1, 9
Let a(i) be the first derivative of 2/9*i**2 - 1/9*i**4 + 2/3*i - 8/27*i**3 - 67 + 2/45*i**5. Factor a(x).
2*(x - 3)*(x - 1)*(x + 1)**2/9
Let z be 2/(-10 - 1023/(-102)). Suppose 210 = -26*l + z*l. Factor 2/7*b - 4/7*b**3 - 4/7*b**2 + 2/7*b**l + 2/7*b**4 + 2/7.
2*(b - 1)**2*(b + 1)**3/7
Let j(s) be the third derivative of s**6/240 + 19*s**5/24 - 247*s**4/24 + 50*s**3 - s**2 + 560*s. Let j(l) = 0. What is l?
-100, 2, 3
Let g(x) = -2*x**2 - 36*x + 41. Let n be g(-19). Determine h, given that -4*h**4 + 17271*h**5 - 17270*h**5 - 2*h**3 - n*h**3 = 0.
-1, 0, 5
Let p(c) = 2*c - 32. Let o = 29 - 12. Let i be p(o). Solve -11 + 14 - 30*x**i - 40*x - 18 + 5*x**4 = 0 for x.
-1, 3
Let q(i) = -12*i**5 - 54*i**4 + 57*i**3 + 9. Let c(n) = 7*n**5 + 27*n**4 - 29*n**3 - 5. Let h(b) = 9*c(b) + 5*q(b). Factor h(a).
3*a**3*(a - 8)*(a - 1)
Suppose 516*n = -569*n - 180*n + 3795. Factor -3*g**2 + 1/2*g**n + 0 + 0*g.
g**2*(g - 6)/2
Let o = -1/9799 + 39219/225377. Let y = 6 + -1. Factor 2/23*i + 2/23*i**2 - o*i**y + 0 - 10/23*i**4 - 6/23*i**3.
-2*i*(i + 1)**3*(2*i - 1)/23
Let c(n) be the third derivative of -n**6/300 + 23*n**5/150 + 5*n**4/6 + 398*n**2. Factor c(m).
-2*m*(m - 25)*(m + 2)/5
Suppose -14*h - 7628 = -7628. Let g(p) be the third derivative of -1/720*p**6 - 1/120*p**5 - 1/72*p**4 + h*p + 0*p**3 + 0 + 7*p**2. Suppose g(f) = 0. What is f?
-2, -1, 0
Suppose 0*b**2 - 2*b + 44 + 77 + 3*b**2 + 20*b - 97 = 0. Calculate b.
-4, -2
Determine t, given that 13496 + 4*t**2 - 648*t - 6750 - 6746 = 0.
0, 162
Solve -1512*i**2 + 3*i**3 + 0*i**3 - 781612 + 367236*i - 306*i**2 - 23945612 = 0 for i.
202
Let d be (-336)/39 + 9 + 576/(-2106). Factor -1/3*z**3 - 2/9 + 1/9*z**2 + 1/3*z + d*z**4.
(z - 2)*(z - 1)**2*(z + 1)/9
Solve -392/3*j - 2/3*j**4 + 44 + 95*j**2 - 19*j**3 = 0.
-33, 1/2, 2
Let w be 5 - 14013/15 - (1 + -3). Let d = w - -928. Suppose d*r**3 + 0*r + 0 + 12/5*r**2 = 0. Calculate r.
-3, 0
Let u(g) = 5*g**2 + 2*g + 6. Let k be u(10). Factor -w**3 + 610*w - k*w - 138*w**2 + 9*w**4 + 16*w**3 + 120.
3*(w - 2)**2*(w + 5)*(3*w + 2)
Let r(f) be the second derivative of -5/7*f**7 + 50*f**2 + 10*f**5 - 102*f + 0 - 10/3*f**3 - 125/4*f**4 + 25/6*f**6. Solve r(a) = 0 for a.
-2, -1/2, 2/3, 1, 5
Let d be 0*((-17 - -9) + 9). Let u be ((-100)/(-35))/(-4)*(-14)/70. Factor 0*k**2 + 0 + d*k + 1/7*k**3 + 2/7*k**4 + u*k**5.
k**3*(k + 1)**2/7
Let j = -7/1006 - -283/4527. Let s(o) be the second derivative of -20/9*o**3 - 5/2*o**2 + 0 + 0*o**5 + j*o**6 - 5/6*o**4 + 6*o. Solve s(r) = 0.
-1, 3
Let r(x) be the third derivative of x**8/462 - 8*x**7/231 + 29*x**6/132 - 47*x**5/66 + 175*x**4/132 - 49*x**3/33 + 2*x**2 + 269. Factor r(u).
2*(u - 1)**3*(2*u - 7)**2/11
Let q = 22/367 + 1549/4771. Let v(f) be the first derivative of -8/39*f**3 + 5 + q*f**2 - 4/13*f + 1/26*f**4. What is u in v(u) = 0?
1, 2
Let t(n) = 34*n**2 - 309*n - 26. Let c(r) = 16*r**2 - 154*r - 12. Let m(y) = 13*c(y) - 6*t(y). Factor m(p).
4*p*(p - 37)
Let u(a) be the third derivative of 5*a**8/112 + 29*a**7/42 + 13*a**6/4 + 19*a**5/3 + 5*a**4 - 1732*a**2. Solve u(w) = 0 for w.
-6, -2, -1, -2/3, 0
Let c(s) = -41*s**4 - 364*s**3 + 331*s**2 + 41*s + 11. Let u(y) = 21*y**4 + 182*y**3 - 165*y**2 - 20*y - 6. Let p(f) = 6*c(f) + 11*u(f). Factor p(j).
-j*(j - 1)*(j + 13)*(15*j + 2)
Let a(n) = n**4 + n**2 - 1. Let m(x) = 8*x**4 - 20*x**3 + 24*x**2 + 52*x - 52. Let o = -141 + 142. Let k(w) = o*m(w) - 12*a(w). Factor k(r).
-4*(r - 1)**2*(r + 2)*(r + 5)
Let t(n) = -4*n**3 - n**2 + 2*n + 30. Let x be t(0). Suppose -15*q = -x*q. Find w, given that -1/4*w**2 + q - 1/4*w = 0