y**v - 8/13 + 16/13*y = 0.
1, 2
Let s(i) be the third derivative of -i**8/40320 + i**6/1440 - 3*i**5/20 - 30*i**2. Let m(o) be the third derivative of s(o). Find t such that m(t) = 0.
-1, 1
Let 46/7*z**2 + 0 - 2/7*z**3 - 44/7*z = 0. Calculate z.
0, 1, 22
Let j be (4*(36/8)/(-9))/((-11)/11). Factor 0 + 1/4*k**j - 1/2*k.
k*(k - 2)/4
Factor 0 - 4/7*c - 6/7*c**2 + 18/7*c**3.
2*c*(3*c - 2)*(3*c + 1)/7
Find o, given that 19 + 6 + 4*o**2 - 31 + 52*o - 50 = 0.
-14, 1
Let -1/5*k**3 - 2/5*k**2 + 0 + 8/5*k = 0. What is k?
-4, 0, 2
Let l = -1247/513 - -49/19. Let s(r) be the third derivative of 0*r - 1/540*r**6 - l*r**3 + 1/90*r**5 + 9*r**2 + 0*r**4 + 0. Factor s(w).
-2*(w - 2)**2*(w + 1)/9
Let z be (-2*6)/(-3 + 4 + (-68)/8). Factor 18/5 + 24/5*c - z*c**3 - 4/5*c**2 + 2/5*c**4.
2*(c - 3)**2*(c + 1)**2/5
Let i(k) be the third derivative of -k**6/540 + 9*k**5/10 - 729*k**4/4 + 19683*k**3 + 146*k**2. Factor i(t).
-2*(t - 81)**3/9
Let c be 2/17 - (-504)/918. Factor 0 + c*o**4 + 4/3*o**3 + 0*o + 2/3*o**2.
2*o**2*(o + 1)**2/3
Factor -3/5*a**4 + 3/5*a**2 - 12/5*a + 0 + 12/5*a**3.
-3*a*(a - 4)*(a - 1)*(a + 1)/5
Let r(v) be the first derivative of v**4/24 + 3*v**3/2 + 81*v**2/4 - 24*v - 44. Let o(p) be the first derivative of r(p). What is h in o(h) = 0?
-9
Solve 0*z - 51/7*z**4 - 15/7*z**5 - 18/7*z**3 + 0 + 0*z**2 = 0 for z.
-3, -2/5, 0
Let l(h) be the second derivative of h**4/18 + 5*h**3/3 - 16*h**2/3 + 132*h. Suppose l(v) = 0. What is v?
-16, 1
Let u = -1218 + 1222. Solve 3/4*n**3 + 0*n - 3/4*n**5 + 3/4*n**u + 0 - 3/4*n**2 = 0.
-1, 0, 1
Let x(y) be the third derivative of 0*y**5 + 0 + y**3 + 1/1620*y**6 + y**2 - 1/108*y**4 + 0*y. Let k(q) be the first derivative of x(q). Factor k(r).
2*(r - 1)*(r + 1)/9
Let a(l) be the third derivative of l**5/20 - 13*l**4/4 + 169*l**3/2 + 51*l**2. Determine q, given that a(q) = 0.
13
Suppose -4*z = -0*j - 3*j - 11, -2*j - 6 = -2*z. Find n such that -4 - n + z - n**3 - n**2 - 4*n - 3*n**2 = 0.
-2, -1
Let v be ((-7)/(-4) - 1/2)*16. Let 5 + 3*x**2 - 22*x - v*x + 30*x + 4 = 0. Calculate x.
1, 3
Let j = -33 + 30. Let d(h) = h**2. Let c(n) = -n**3 - 5*n**2 + 20*n + 24. Let a(u) = j*c(u) - 21*d(u). Factor a(o).
3*(o - 6)*(o + 2)**2
Suppose -2*n = -4*x + 14, n + 2*x - 5 - 8 = 0. Factor 3/5 - 2*f - 6/5*f**n + 12/5*f**2 + 1/5*f**4.
(f - 3)*(f - 1)**3/5
Let v be (451/(-44) - -10)*-2. Factor 1/2 - 3/2*z**3 - v*z - 5/2*z**2.
-(z + 1)**2*(3*z - 1)/2
Let b(m) be the first derivative of m**7/840 + m**6/240 + m**5/240 - m**2 + 1. Let n(g) be the second derivative of b(g). Factor n(o).
o**2*(o + 1)**2/4
Let x = 5218 - 5218. Let 10/13*g + x + 2/13*g**2 = 0. Calculate g.
-5, 0
Let f(u) be the first derivative of u**5/15 + 2*u**4/9 - 8*u**3/9 - 16*u**2/3 + 14*u + 2. Let c(y) be the first derivative of f(y). Solve c(n) = 0.
-2, 2
Let i = 20 - 17. Let t(k) = -89*k**2 + 10 + 4*k - i*k + 82*k**2. Let h(y) = -8*y**2 + 2*y + 11. Let f(d) = -4*h(d) + 5*t(d). Determine l, given that f(l) = 0.
-2, 1
Let u(y) = -y - 3. Let r be u(-6). Suppose 0 = m - 2, -2*m + r*m - 10 = -4*b. Factor 4*c**3 + 11*c**2 - 4*c - c**2 - 12*c**4 + 2*c**b.
-4*c*(c - 1)*(c + 1)*(3*c - 1)
Let t = -119 + 123. Let m be 6/(-5)*5/(-2). Suppose 8/9*p**m - 2/3*p + 4/9*p**2 + 0*p**t - 4/9 - 2/9*p**5 = 0. Calculate p.
-1, 1, 2
Let s = 161/94 - 10/47. Let 0 + 3/2*l + 3/2*l**2 - 3/2*l**3 - s*l**4 = 0. Calculate l.
-1, 0, 1
Let g(b) = -12*b**4 + 67*b**3 - 43*b**2 - 67*b + 48. Let a(u) = 8*u**4 - 45*u**3 + 29*u**2 + 45*u - 32. Let r(l) = -7*a(l) - 5*g(l). Factor r(s).
4*(s - 4)*(s - 1)**2*(s + 1)
Let -76*l**2 - 101*l**2 - 4*l**5 + 113*l**2 + 16*l**4 + 64*l = 0. Calculate l.
-2, 0, 2
Suppose -11*f = -12*f. Suppose f = -77*b + 78*b - 5. Factor 48/5*i**2 - 6/5*i**4 + 3/5*i**b + 48/5*i - 24/5*i**3 - 96/5.
3*(i - 2)**3*(i + 2)**2/5
Suppose 0 = 5*n + n. Let q be (n - (5 + -4))*-3. Let -5/4*l + 1/4*l**q - 1/4*l**4 + 1/2 + 3/4*l**2 = 0. Calculate l.
-2, 1
Let r = 841 + -837. Factor 3/2*l**2 - 3/4*l**3 + 0*l + 0 - 9/4*l**r.
-3*l**2*(l + 1)*(3*l - 2)/4
Suppose -5/2*t**5 - 5/2*t**3 + 15/2*t**2 + 0 - 15/2*t**4 + 5*t = 0. What is t?
-2, -1, 0, 1
Solve -3/2*l**2 - 15 - 21/2*l = 0 for l.
-5, -2
Let q = 7629/5 - 1525. Factor 4/5 + q*k**2 + 8/5*k.
4*(k + 1)**2/5
Suppose 5*w = 5*t, -47*t = -43*t + 3*w. Let r(q) be the third derivative of -6*q**2 - 1/105*q**7 + 0*q**5 + t*q**4 + 0*q**3 + 0*q + 0 + 1/60*q**6. Factor r(d).
-2*d**3*(d - 1)
Let n = 8 - -12. Factor -8*i**2 - 21*i**3 + 23*i**3 + 10 + 24*i + 6 + n*i**2.
2*(i + 2)**3
Suppose 0 = 4*f - 12. Determine g, given that 12*g - 31*g**2 + f*g**3 + 19*g**2 - 3*g = 0.
0, 1, 3
Let n(t) be the first derivative of -t**6/10 - 23*t**5/15 - 20*t**4/3 + 32*t**3/3 - 17*t**2/2 - 9. Let s(m) be the second derivative of n(m). Factor s(r).
-4*(r + 4)**2*(3*r - 1)
Let x(n) be the third derivative of n**6/600 - 13*n**5/300 + 7*n**4/24 + 49*n**3/30 - 3*n**2 - 2*n. Let x(q) = 0. What is q?
-1, 7
Let q(u) be the third derivative of -u**5/150 + 11*u**4/15 - 484*u**3/15 + u**2 + 4*u. Factor q(p).
-2*(p - 22)**2/5
Suppose -15*h - 1545 + 3*h**2 + 1561 - 4*h**2 = 0. What is h?
-16, 1
Let n(f) = -2*f**4 + 5*f**3 + 23*f**2 + 10*f - 5. Let q(w) = -3*w**4 + 3*w**3 + 24*w**2 + 12*w - 6. Let z(g) = -6*n(g) + 5*q(g). Solve z(l) = 0 for l.
-3, -2, 0
Let q(r) be the third derivative of r**6/24 + 2*r**5/3 - 15*r**4/8 - 64*r**2 + 1. Factor q(b).
5*b*(b - 1)*(b + 9)
Let y(f) = f**3 + 6*f**2 - 4*f - 22. Let u be y(-6). Find g such that -5158 + 1513 - 1215*g - 54*g**u - 81*g**2 - 5*g**3 = 0.
-9
Let l(y) = y + 1. Let m(q) = -4*q - 3. Let v(g) = 7*l(g) + 2*m(g). Let s(z) = 3*z**2 - 9*z + 6. Let p(h) = -s(h) + 12*v(h). Suppose p(k) = 0. Calculate k.
-2, 1
Find j such that -4/3*j**2 - 5/3 + 1/6*j**3 + 17/6*j = 0.
1, 2, 5
Let n = -7126/103 + -1116105/1133. Let s = n + 1055. Factor 18/11*b**5 - 12/11*b**4 + 0 + s*b + 8/11*b**2 - 2*b**3.
2*b*(b - 1)**2*(3*b + 2)**2/11
Let v(y) = 15*y**3 - 20*y**2 + 7*y + 4. Let r(j) = 16*j**3 - 20*j**2 + 6*j + 5. Let h(u) = 6*r(u) - 7*v(u). Factor h(q).
-(q - 1)**2*(9*q - 2)
Let u(h) be the first derivative of -h**6/160 + h**5/80 + h**4/32 + h**3 - 2. Let q(r) be the third derivative of u(r). Determine s so that q(s) = 0.
-1/3, 1
Let q(k) be the third derivative of -k**6/12 + 2*k**5/5 + 11*k**4/12 - 2*k**3 + 34*k**2. Find y such that q(y) = 0.
-1, 2/5, 3
Let t(y) be the third derivative of -y**2 + 1/60*y**5 + 0*y + 1/8*y**4 + 0 + 1/3*y**3. Solve t(n) = 0 for n.
-2, -1
Let -6000 + 24*s**3 - 360*s**2 - 3/5*s**4 + 2400*s = 0. Calculate s.
10
Let h(i) = 2*i**2 - 12*i - 38. Let l(w) = 3*w**2 - 24*w - 75. Let y(c) = 5*h(c) - 2*l(c). Suppose y(j) = 0. What is j?
-2, 5
Let j(i) = i + 1. Let q(x) = -3*x**2 + 93. Let u(t) = -9*j(t) + q(t). Suppose u(s) = 0. Calculate s.
-7, 4
Let w(c) = 20*c**2 + 35*c - 40. Let j(v) = 3*v**2. Let i(p) = 5*j(p) - w(p). Factor i(g).
-5*(g - 1)*(g + 8)
Let v(z) be the first derivative of 0*z + 16 + 1/5*z**4 - 2/5*z**2 + 14/25*z**5 - 14/15*z**3. Suppose v(f) = 0. Calculate f.
-1, -2/7, 0, 1
Let z(x) be the third derivative of -x**5/30 - 7*x**4/12 + 28*x**2. Suppose z(q) = 0. What is q?
-7, 0
Suppose 1 - 1 - 13*w**4 + 12*w - 44*w**3 + 16*w**3 + 25*w**4 - 28*w**2 = 0. What is w?
-1, 0, 1/3, 3
Let n be 180/54*5/25. Let -n*q**4 + 0*q**3 + 0 - 4/3*q + 2*q**2 = 0. Calculate q.
-2, 0, 1
Let n(b) = b**2 - 6*b - 14. Let h be n(8). Let o = 18/7 + -1/14. Suppose 0 + h*v**3 + 1/2*v**4 + v + o*v**2 = 0. Calculate v.
-2, -1, 0
Suppose 0*r - 4*r + 62 = a, 0 = 5*a - 3*r - 218. Let p = a - 46. What is g in p + 3/5*g**2 + 9/5*g = 0?
-3, 0
Let j(l) be the third derivative of -l**6/120 + l**5/5 - 29*l**4/24 + 3*l**3 - 136*l**2. Solve j(p) = 0 for p.
1, 2, 9
Factor -280*p**2 - 352 - 560*p + 6496*p**3 - 6564*p**3 - 32*p**2 - 4*p**4.
-4*(p + 2)**3*(p + 11)
Let y(k) = -64*k**2 + k. Let q be y(1). Let m be 3/q - 1/(-3). Factor 0*j - 6/7*j**4 - 2/7*j**5 - 6/7*j**3 - m*j**2 + 0.
-2*j**2*(j + 1)**3/7
Suppose 7*v = -7*v + 350. Factor 30*m + 25*m + 400 + 4*m**2 + v*m.
4*(m + 10)**2
Let y be ((-51)/(-4))/((-54)/(-2016)). Let i be 255/y - (-1)/(-4). Factor 0 + 0*w + 6/7*w**3 - i*w**4 - 4/7*w**2.
-2*w**2*(w - 2)*(w - 1)/7
Let a(h) = h**3 - 9*h**2 - 23*h + 14. Let v be a(11). Let d(w) be the second derivative of 1/100*w**5 + 0*w**2 + 1/30*w**4 + 0*w**v + 3*w + 0. Factor d(c).
c**2*(