 = 3*r - 3. Let y(x) = h*o(x) + 4*i(x). Solve y(n) = 0.
2, 4
Let h(p) be the third derivative of 0*p - 1/108*p**4 + 0 + 1/270*p**5 + 0*p**3 - 24*p**2. Factor h(o).
2*o*(o - 1)/9
Let f(q) = q**3 - 10*q**2 + 10*q - 9. Suppose 59 = 6*d + 5. Let a be f(d). Let 0 + 0*n**3 - 2/11*n**4 + 0*n**2 + a*n = 0. What is n?
0
Suppose -2/11*l**3 + 12/11 - 2/11*l - 8/11*l**2 = 0. Calculate l.
-3, -2, 1
Let z(o) = -7*o**2 + 179*o - 6. Let q(s) = 9*s**2 - 180*s + 9. Let v(k) = 2*q(k) + 3*z(k). Find d, given that v(d) = 0.
0, 59
Suppose -4*r + 274 = 22. Suppose -4*m = z - r, 2*m - 6 = 4*m. Factor -3*k**2 + 0*k + 21*k - z + 9*k.
-3*(k - 5)**2
Factor -36/7*v**5 - 4/7*v - 96/7*v**4 + 0 - 88/7*v**3 - 32/7*v**2.
-4*v*(v + 1)**2*(3*v + 1)**2/7
Let a be ((-515)/65 - -8) + (-75)/(-39). Factor 16/3 - 2/3*h**3 - 8*h + 4*h**a.
-2*(h - 2)**3/3
Let h(q) = 7*q**2 + 139*q + 1927. Let g(m) = -8*m**2 - 142*m - 1928. Let v(b) = 5*g(b) + 6*h(b). Let v(n) = 0. Calculate n.
-31
Let i(w) be the third derivative of 0 + 0*w - 1/315*w**7 + 37*w**2 + 1/10*w**5 - 1/18*w**4 + 1/90*w**6 - 8/9*w**3. What is x in i(x) = 0?
-2, -1, 1, 4
Let w = 91 - 105. Let t be 8/50*((-91)/w + -4). Find u such that t*u**2 + 6/5*u + 0 = 0.
-3, 0
Let j be 15*(1773/135 + -13). Determine o, given that -1/4*o**3 - 3/4*o**j + 7/8*o**4 - 1/8 + 5/8*o - 3/8*o**5 = 0.
-1, 1/3, 1
Suppose 0 = -4*x + 2*x - 5*q - 14, 6 = -2*x - 3*q. Let v(w) be the first derivative of 1/9*w**3 + x + 0*w - 1/6*w**2. Suppose v(d) = 0. Calculate d.
0, 1
Let j(p) = p**2 + 13*p + 31. Let r be j(-10). Let m be (-5 + 4)*1/(-2)*r. Factor 1/2*b**3 + 0*b - 1/2*b**4 + 1/2*b**2 - m*b**5 + 0.
-b**2*(b - 1)*(b + 1)**2/2
Let l be 5/((-49)/21 - -4). Factor 11/9*y**2 - 1/3 + 1/3*y**l + 5/9*y.
(y + 1)*(y + 3)*(3*y - 1)/9
Let z(a) = -2*a**3 - 459*a**2 - 26447*a - 25992. Let g(k) = -k**2 + k. Let f(p) = g(p) - z(p). Factor f(s).
2*(s + 1)*(s + 114)**2
Let j(d) be the second derivative of -1/6*d**6 + 1/4*d**5 + 24*d + 0*d**3 + 0*d**2 + 5/6*d**4 + 0. Factor j(t).
-5*t**2*(t - 2)*(t + 1)
Let r(m) = -2*m**2 - 14*m + 13. Let h(g) = -g**2 - g + 1. Let u(i) = 6*h(i) - 2*r(i). Factor u(z).
-2*(z - 10)*(z - 1)
Let i(c) be the third derivative of -1/30*c**4 + 14*c**2 + 0*c + 2/75*c**5 + 0*c**3 + 0 - 1/140*c**8 + 31/600*c**6 + 1/150*c**7. Find f such that i(f) = 0.
-1, -2/3, 0, 1/4, 2
Let b(q) be the first derivative of 2*q**6/3 - 164*q**5 + 16810*q**4 - 2756840*q**3/3 + 28257610*q**2 - 463424804*q - 56. Factor b(l).
4*(l - 41)**5
Let w(s) be the third derivative of -1/20*s**5 - 10*s**2 + 0 + 0*s + 11/24*s**4 - s**3. Factor w(i).
-(i - 3)*(3*i - 2)
Let a(c) = -11*c**4 - 8*c**3 + c**2 + 3*c + 5. Let s(u) = -12*u - 6 + 45*u**4 - 16 + 33*u**3 - 3*u**2 + 1. Let t(j) = 21*a(j) + 5*s(j). Let t(f) = 0. What is f?
-1, -1/2, 0, 1
Let m = -40 + 46. Factor 3*r**4 + 0*r**4 + 3*r**2 - 9*r**3 + m*r**2 - 3*r.
3*r*(r - 1)**3
Let s(l) be the second derivative of -l**6/15 + 11*l**5 - 3025*l**4/6 - 3*l - 6. Factor s(t).
-2*t**2*(t - 55)**2
Let v(f) = f**2 + 10*f - 15. Let j(o) = -20*o + 30. Let s(c) = -2*j(c) - 5*v(c). Solve s(i) = 0.
-3, 1
Let t = 16 - 14. Let -2 + 0 - 2*u**3 + 7*u - 6*u**t - u + 4*u**3 = 0. Calculate u.
1
Let s be 1 + 2 - 2 - (10 - 5). Let f be (-2 + (-2 - -3))/s. Find z such that f*z**2 - 3/4*z + 1/2 = 0.
1, 2
Let y(u) be the second derivative of -3*u + 6 + 0*u**4 - 1/120*u**6 - 1/80*u**5 + 0*u**3 + 0*u**2. What is b in y(b) = 0?
-1, 0
Suppose 10 = 4*k - 10. Find g such that -3*g**2 + 4*g**2 + 160*g**3 - 163*g**3 + g**k + 2*g - g**4 = 0.
-1, 0, 1, 2
Factor -2/15*h**3 + 2/5*h**2 + 0 + 0*h.
-2*h**2*(h - 3)/15
Let w(a) be the second derivative of -a**4/30 - 14*a**3/5 - 441*a**2/5 - 6*a + 12. Factor w(o).
-2*(o + 21)**2/5
Suppose 15*f - 83 = -53. Solve -2/13*s**f + 0 + 0*s - 2/13*s**3 = 0.
-1, 0
Let p = -270 + 270. Let l(y) be the first derivative of 0*y**3 + 1/4*y**4 + 0*y**2 + p*y + 4. Determine c, given that l(c) = 0.
0
Let m be (-1 + 1)/(12 - (-3 + 11)). Let g(v) be the third derivative of -1/480*v**6 + 1/120*v**5 - 1/12*v**3 + 1/96*v**4 - 5*v**2 + 0 + m*v. Factor g(k).
-(k - 2)*(k - 1)*(k + 1)/4
Suppose 2*y + 62 = 6*y - 3*x, 4*y - 52 = -2*x. Suppose -3*v + 2*z + 2*z = 11, -3*v = z - y. Solve 4/5*c**2 - 18/5*c**4 - 2/5 + 8/5*c - 24/5*c**v = 0 for c.
-1, 1/3
Let c(g) be the third derivative of g**6/36 + 7*g**5/90 - 2*g**4/9 - 4*g**3/9 - 6*g**2. Suppose c(l) = 0. What is l?
-2, -2/5, 1
Let c = -3913 - -3915. Factor -7/5*s**3 - s + 9/5*s**c + 2/5*s**4 + 1/5.
(s - 1)**3*(2*s - 1)/5
Let r(i) be the second derivative of 0*i**2 + 1/12*i**3 + 1/48*i**4 - 8*i + 0. Factor r(w).
w*(w + 2)/4
Let n(v) be the third derivative of v**4/24 + 4*v**3/3 + 7*v**2. Let q be n(-6). Factor -t**2 + 4*t + t**3 + 0*t**2 - 3*t**q.
t*(t - 2)**2
Let o(w) = -6*w + 32. Let k be o(5). Factor -4*p**4 - 13*p**2 + 6*p**3 + k*p**3 + 6*p + 3*p**4.
-p*(p - 6)*(p - 1)**2
Let o(q) = -2*q**2 - 6*q - 5. Let v be o(-5). Let m = -22 - v. Determine w, given that -2*w**2 + 2*w**5 + 2*w**3 + 2*w - 6*w**m + 2*w**2 = 0.
-1, 0, 1
Let d(t) be the first derivative of -t**9/16632 + t**8/9240 + t**7/4620 - t**6/1980 - 2*t**3 - 16. Let u(n) be the third derivative of d(n). Solve u(i) = 0.
-1, 0, 1
Let b = 803/108 + -167/27. Factor 1/4*y**3 - b + 5/4*y**2 - 1/4*y.
(y - 1)*(y + 1)*(y + 5)/4
Let c(o) = -4*o**4 + 32*o**3 + 52*o**2 - 8*o - 68. Let i(q) = -6*q**4 + 63*q**3 + 104*q**2 - 17*q - 137. Let k(x) = 7*c(x) - 4*i(x). Factor k(m).
-4*(m - 1)*(m + 2)*(m + 3)**2
Let h(b) be the first derivative of -2*b**3 - 2/5*b**6 + 3 + 0*b**2 - 9/5*b**5 + 3/5*b - 3*b**4. Suppose h(o) = 0. Calculate o.
-1, 1/4
Suppose 2*i + 0*k = -k - 20, -5*i = -4*k + 76. Let m be i + 8 - (-17)/3. Let m*z**3 + 5/3*z**2 + 5/6*z + 1/6*z**5 + 5/6*z**4 + 1/6 = 0. Calculate z.
-1
Factor 28/9 + 2/9*q**3 + 32/9*q**2 + 58/9*q.
2*(q + 1)**2*(q + 14)/9
Let d = -126319/1036 - -3297/37. Let w = d - -284/7. Determine c, given that 21/2*c**4 + 1 - w*c**2 + 23/4*c**3 - 2*c = 0.
-1, -1/2, 2/7, 2/3
Let p(t) be the second derivative of -t**5/20 + 5*t**4/6 + t**3/6 - 5*t**2 - 180*t. Let p(m) = 0. Calculate m.
-1, 1, 10
Let h be (-122)/1037 - (19/(-17) - 1). Let w(r) be the first derivative of h*r + 2*r**3 - 1/2*r**4 - 3*r**2 + 7. Determine x so that w(x) = 0.
1
Let v(q) = 11*q + 3. Let g be v(1). Suppose 8*k = g*k - 18. Factor p**3 + k*p**3 - 2*p**2 + 0*p**2 - 3*p**3.
p**2*(p - 2)
Factor -12*k**3 + 183*k**2 - 18*k**5 - 187*k**2 + 14*k**5 - 12*k**4.
-4*k**2*(k + 1)**3
Suppose 5*k = -0*k + 990. Let j = k - 195. Suppose 4/3*q**4 + 16/3*q**2 + 0*q + 0 + 16/3*q**j = 0. Calculate q.
-2, 0
Let r(l) = l + 24. Let s be r(-22). Determine n so that 18*n**s + 16*n**2 - 2*n - 4 + 2*n**3 - 30*n**2 = 0.
-2, -1, 1
Let x(g) be the second derivative of -10*g + 0 - 1/3*g**4 + 2/3*g**3 + 4*g**2. Factor x(d).
-4*(d - 2)*(d + 1)
Factor -11*b**3 - 48 + 80*b + 30*b**3 - 7*b**3 - 48*b**2 - b**4 + 0*b.
-(b - 6)*(b - 2)**3
Let y(n) = -7*n**2 - 26*n - 79. Let q = -16 - -12. Let a(k) = -8*k**2 - 25*k - 80. Let b(l) = q*a(l) + 5*y(l). Suppose b(j) = 0. What is j?
-5
Suppose 5*d = 2*b + 397 - 27, 4*b = 4*d - 728. Let r be 2/(-6) + (-4)/(b/339). Factor 162/5*h**2 + 3/5*h**4 - 324/5*h + 243/5 - r*h**3.
3*(h - 3)**4/5
Let i be 49/(-630) + 5/45. Let s(b) be the second derivative of -i*b**4 + 0 + 2/15*b**3 - 3*b - 1/5*b**2. Find a, given that s(a) = 0.
1
Let i(g) = -12*g**3 - 48*g**2 - 36*g. Let q(t) = 4*t**3 + 16*t**2 + 12*t. Let b = -13 - -31. Let m = b - 13. Let x(l) = m*i(l) + 16*q(l). Factor x(f).
4*f*(f + 1)*(f + 3)
Let g(t) be the second derivative of -3*t**5/40 + 3*t**4/8 + 3*t**3/2 - 6*t**2 + 265*t. Suppose g(s) = 0. Calculate s.
-2, 1, 4
Let j(b) = b**4 + b**2 + 1. Let g(a) = 9*a**5 - 21*a**3 - 24*a**2 + 12*a - 12. Let n(m) = -g(m) - 12*j(m). What is d in n(d) = 0?
-2, -1, 0, 2/3, 1
Solve 3*y**4 - 37601 + 37601 - 12*y**3 + 12*y**2 = 0.
0, 2
Let h(t) be the second derivative of -19/4*t**5 + 7/6*t**6 + 0 - 40/3*t**3 - 14*t - 5/42*t**7 + 125/12*t**4 + 10*t**2. Factor h(l).
-5*(l - 2)**2*(l - 1)**3
Suppose 3*m - 6*m + 0*m + 0*m - m**2 - 2 = 0. What is m?
-2, -1
Let f be 0 - (-7 - -6) - -3. Let h(u) be the first derivative of 0*u**2 + 0*u - 5 - 6*u**f - 8/3*u**3 - 2*u**5. What is s in h(s) = 0?
-2, -2/5, 0
Let n(q) be the first derivative of q**5/70 - q**4/21 - q**3/21 + 2*q**2/7 - 4*q - 2. Let r(c)