5/420 + i**4/14 + i**3 + 2*i - 50. Let p(o) be the third derivative of x(o). Factor p(d).
-2*(d + 3)*(11*d - 2)/7
Let x(o) be the second derivative of o**7/56 - 2*o**6/15 + 11*o**5/80 + 11*o**4/24 - o**3/3 - 5*o - 22. Solve x(j) = 0 for j.
-1, 0, 1/3, 2, 4
Factor 6/7*g**2 - 2/7*g**4 + 4/7*g + 0*g**3 + 0.
-2*g*(g - 2)*(g + 1)**2/7
Find z, given that -18/11*z**3 + 0 + 4*z**2 - 2/11*z**4 + 0*z = 0.
-11, 0, 2
Let p be ((-16)/(-14))/2 + (-4394)/(-273). Let u = 18 - p. Determine t, given that -u*t**2 - 2/3*t + 0 - 2/3*t**3 = 0.
-1, 0
Factor 2/9*y**4 - 2/3*y**2 + 38/9*y - 14/9*y**3 + 28/9.
2*(y - 7)*(y - 2)*(y + 1)**2/9
Suppose 4/5*q**5 + 0 + 44/5*q**3 + 32/5*q**2 + 0*q - 38/5*q**4 = 0. What is q?
-1/2, 0, 2, 8
Let t(w) = -w. Let b(v) = 4*v - 2 + 2 - 1 - v**2. Let d(h) = h**3 - h**2 + 3*h - 2. Let g be d(1). Let o(q) = g*b(q) + 6*t(q). Let o(i) = 0. What is i?
-1
Let g(f) be the first derivative of -3*f**4/28 + 2*f**3 - 36*f**2/7 + 169. Factor g(r).
-3*r*(r - 12)*(r - 2)/7
Let i(y) be the second derivative of -y**4/4 - 7*y**3/2 - 15*y**2 + y + 50. Determine n, given that i(n) = 0.
-5, -2
Let q(m) be the third derivative of -1/720*m**6 + 1/48*m**4 + 0*m + 2*m**2 + 0 + 0*m**5 + 1/18*m**3. Let q(b) = 0. Calculate b.
-1, 2
Suppose -5*u + 319 = 344, -2*m = 5*u + 25. Let o**3 + 0*o + m*o**2 - 1/2*o**4 + 0 = 0. What is o?
0, 2
Let l = 71 - 48. Factor -l + 2*f**2 + 2*f + 4*f + 23.
2*f*(f + 3)
Let i(g) be the first derivative of g**6/1260 - g**5/105 + g**4/21 + 4*g**3 + 40. Let u(w) be the third derivative of i(w). Find k such that u(k) = 0.
2
Let a be ((-105)/10)/((-9)/24). Let y = 30 - a. Solve -1/4*x**5 + 1/2*x**3 + 0*x**4 - 1/4*x + 0*x**y + 0 = 0 for x.
-1, 0, 1
Suppose 0 = 3*s - 21 + 9. Suppose -j + 4 = -2*k + 3*j, 3*j = -s*k + 14. Find y, given that 2/3*y**3 + 2/3*y**k - 2/3 - 2/3*y = 0.
-1, 1
Let w(i) be the second derivative of 1/10*i**6 + 3/5*i**2 + 0 - 33/100*i**5 + 7/10*i**3 - 27*i - 7/20*i**4 + 2/35*i**7. Determine z so that w(z) = 0.
-2, -1, -1/4, 1
Let v(z) be the second derivative of -19*z + 0*z**2 + 1/60*z**5 + 0*z**3 + 0 + 0*z**4 + 1/90*z**6. Suppose v(h) = 0. What is h?
-1, 0
Let q = -3313 - -29818/9. Factor -q*r**2 + 0 - 2/9*r.
-r*(r + 2)/9
Determine y, given that 1537094 + 62424*y + 2*y**3 + 938433 + 612*y**2 - 353111 = 0.
-102
Suppose 16*r = 8*r + 8. Let b be (3/r)/(15/4). Solve 4/5*y**3 + 4/5*y**4 - b*y - 4/5*y**2 + 0 = 0.
-1, 0, 1
Find q, given that -4*q**2 - 4*q + 17 - 1 - 15*q**2 + 17*q**2 = 0.
-4, 2
Let i(l) = -537*l - 10201. Let v be i(-19). Factor -5/9*q**v + 4/9*q**3 + 2/9*q - 1/9*q**4 + 0.
-q*(q - 2)*(q - 1)**2/9
Let o(d) be the second derivative of 3*d**5/70 - 5*d**4/21 - 8*d**3/21 - 9*d + 5. Suppose o(t) = 0. What is t?
-2/3, 0, 4
Let b(a) be the third derivative of -128*a**5/15 + 4*a**4/3 - a**3/12 + 305*a**2. Determine l so that b(l) = 0.
1/32
Suppose 7*f = 9*f - 10. Let g be f*(-25)/(-45) - (-2)/9. Factor 2/5*p**2 - 1/5*p**5 - 1/5*p**4 + 2/5*p**g - 1/5*p - 1/5.
-(p - 1)**2*(p + 1)**3/5
Factor 408/7 + 94/7*l**2 + 400/7*l - 2/7*l**3.
-2*(l - 51)*(l + 2)**2/7
Let h(s) = 5*s - 2*s - 1 + s**2 - 3*s. Let i(a) = -a**3 - 6*a**2 + a + 6. Let c(r) = -15*h(r) - 5*i(r). Determine g, given that c(g) = 0.
-3, -1, 1
Let l be ((78/(-9))/(-1))/4. Let i = -1 + l. Find a, given that -14/3*a - 2/3 - 73/6*a**3 - 37/6*a**4 - 67/6*a**2 - i*a**5 = 0.
-2, -1, -2/7
Let h be 12/(-9)*(-18)/4. Let c(w) = -7*w**3 + 2*w**2 + 5*w - 6. Let x(i) = -i**3 + i - 1. Let p(z) = h*x(z) - c(z). Factor p(v).
v*(v - 1)**2
Suppose 4*b - 32 = 0, -55*x + 3*b + 1 = -50*x. Factor -1/11*f + 1/11*f**x - 2/11*f**2 + 0 + 2/11*f**4 + 0*f**3.
f*(f - 1)*(f + 1)**3/11
Let t be 0/8 - 0/2. Suppose c + 3*j = 17, -3*c + j + j - 4 = t. Factor 1/3 + 3*m**2 + c*m.
(3*m + 1)**2/3
Suppose 37 = 5*q - 3*t + 2, 3*t - 15 = 0. Suppose 5*z + 10 = q*z. Factor -3*m - z*m**2 - 7*m**3 + 4*m + 8*m**3.
m*(m - 1)**2
Let m = 8 + 1. Factor -1 - 16*x**3 + 27*x**3 + x + m*x**2 + 0*x + 4*x**4.
(x + 1)**3*(4*x - 1)
Let x(d) be the second derivative of 3*d**5/100 + d**4/4 - 11*d**3/5 + 24*d**2/5 + 2*d - 5. Factor x(l).
3*(l - 2)*(l - 1)*(l + 8)/5
Let r = -289/7 + 6971/168. Let b(c) be the third derivative of r*c**4 - 1/12*c**5 - 10*c**2 + 5/6*c**3 - 1/24*c**6 + 0*c + 0. Factor b(o).
-5*(o - 1)*(o + 1)**2
Suppose 0 = 3*h, m + h - 1 - 5 = -4. Determine p so that -2/5*p**3 + 4/5*p**m - 16/5 + 8/5*p = 0.
-2, 2
Let d(w) be the first derivative of 1/32*w**4 - 1/12*w**3 + 1/40*w**5 + 0*w - 18 + 0*w**2. Let d(z) = 0. What is z?
-2, 0, 1
Suppose -54*j = -53*j + 5*b + 30, 5*b + 30 = -4*j. Factor 0*t - 1/6*t**4 + 0*t**2 - 1/6*t**3 + j.
-t**3*(t + 1)/6
Suppose -5*c = -3*n - n - 17, -5*n = 5*c - 35. Let w(r) be the first derivative of -2*r + c - 2/3*r**3 - 2*r**2. What is s in w(s) = 0?
-1
Let n be 41 - (1 - 3/(-1)). Solve n*x**5 - 36*x**5 - 2*x**3 + 3*x**3 + 2*x**4 = 0 for x.
-1, 0
Suppose -2*o + 0*o = -5*c + 14, -4*o = -3*c. Let -2*a**2 + 7*a**3 - 17*a**4 - a**5 - 2*a**5 + 37*a**4 - 22*a**c = 0. What is a?
-2, 0, 1/3, 1
Let h = -18783/5 - -3757. Let o be 6/(-27) - 28/(-45). Find r such that o*r - h*r**2 + 0 = 0.
0, 1
Let y(p) be the first derivative of -3/2*p - 9 - 1/12*p**3 - 5/8*p**2. Let y(q) = 0. Calculate q.
-3, -2
Suppose -3*c - 3*c + 12 = 0. Suppose -4*b + 31 = -g, 4*b - c*g + 0*g - 26 = 0. Factor 9*j - b + 32*j - 8*j + 12*j**2.
3*(j + 3)*(4*j - 1)
Factor -5/3*s**5 + 10*s**4 + 40/3*s**2 - 20*s**3 + 0*s + 0.
-5*s**2*(s - 2)**3/3
Suppose -5*t = a - 11, -4*a + 3 = -1. Let s = -1621/44 - -408/11. Suppose 0 + 1/4*l - s*l**t = 0. Calculate l.
0, 1
Let a(h) = 14*h**4 - 8*h**3 - 12*h**2 + 2*h + 10. Let u(q) = 26*q**4 - 15*q**3 - 23*q**2 + 4*q + 19. Let y(v) = -11*a(v) + 6*u(v). Find m, given that y(m) = 0.
-1, 1, 2
Suppose 2*q - 47 - 51 = -4*r, -4*r + 113 = 5*q. Suppose 0 = 4*j - 3*y + 8*y - r, -4*j + 10 = -y. Factor 5/3*b**j + 0 + 0*b + 10/3*b**2.
5*b**2*(b + 2)/3
Let b be (-399)/35 + 2/5. Let d(i) = -i**3 - 11*i**2 - i - 9. Let o be d(b). Factor -t + 0*t**3 - t**4 + 3 - 5 + 3*t**2 - o*t**3 + 3*t**3.
-(t - 2)*(t - 1)*(t + 1)**2
Let g(q) = -10*q**5 + 10*q**4 + 6*q**3 - 18*q**2 - 84*q + 12. Let c(m) = -m**5 - 7*m + 1. Let i(p) = 12*c(p) - g(p). Factor i(a).
-2*a**2*(a - 1)*(a + 3)**2
Let d(x) be the third derivative of x**7/70 + 22*x**6/5 + 3959*x**5/10 + 1914*x**4 + 7569*x**3/2 + 17*x**2. Let d(i) = 0. Calculate i.
-87, -1
Solve -3*f - 1/6*f**2 + 21/2 = 0.
-21, 3
Let n(r) be the third derivative of -r**5/100 - 19*r**4/20 - 361*r**3/10 + 21*r**2 + 2*r. Factor n(z).
-3*(z + 19)**2/5
Let r = -4631 + 4633. Let -2/7*h**3 + 0 + 16/7*h**r + 0*h = 0. Calculate h.
0, 8
What is m in 120*m**2 + 16000/9*m**4 + 800*m**3 + 6*m + 0 = 0?
-3/20, 0
Let d(s) = 31*s - 93. Let j be d(3). Let r(i) be the first derivative of 0*i**2 + j*i**3 + 0*i**4 - 1/3*i**6 + 0*i - 1/10*i**5 + 1. Factor r(z).
-z**4*(4*z + 1)/2
Let q(i) be the third derivative of -i**8/53760 + i**7/1680 - i**6/160 - 5*i**4/4 + 14*i**2. Let m(l) be the second derivative of q(l). Factor m(j).
-j*(j - 6)**2/8
Let l(q) be the first derivative of 2*q**3/39 - 9*q**2/13 - 10. Suppose l(a) = 0. Calculate a.
0, 9
Let n = 27 - 24. Suppose 11*j - 14*j - j**n - 2*j**3 + 6*j = 0. Calculate j.
-1, 0, 1
Let v(j) be the third derivative of 0*j + 0 + 0*j**3 + 7/300*j**5 - 8/525*j**7 + 13*j**2 + 1/120*j**4 + 1/75*j**6. Find l, given that v(l) = 0.
-1/4, 0, 1
Let z(l) be the third derivative of 0 + 0*l**3 + 1/6*l**5 + 0*l - 1/20*l**6 + 24*l**2 - 1/105*l**7 + 1/168*l**8 - 1/6*l**4. Let z(y) = 0. What is y?
-2, 0, 1
Let i(f) be the first derivative of 4*f + 2/3*f**6 + 40/3*f**3 - 1 + 10*f**2 + 10*f**4 + 4*f**5. Factor i(j).
4*(j + 1)**5
Let m(b) = 4*b - 7. Let f be m(3). Suppose -3*j - f*s = -259, -5*s - 324 - 33 = -4*j. Factor 19*o**3 - 10*o - 36*o**2 - j*o**3 - 2*o - 21*o**4 - 24*o**2.
-3*o*(o + 1)*(o + 2)*(7*o + 2)
Factor -44/5*r - 4/5*r**2 + 48/5.
-4*(r - 1)*(r + 12)/5
Let k(g) be the third derivative of 0 - 5/4*g**4 - 1/36*g**5 - 45/2*g**3 + 19*g**2 + 0*g. Factor k(q).
-5*(q + 9)**2/3
Factor -45*y + 59 - 100 - 2*y**2 - 61*y - 105 - 58.
-2*(y + 2)*(y + 51)
Let l be -99*3*1/(-3)*-1. Let g = -96 - l. Factor -8/13 + 2/13*i**2 - 8/13*i + 2/13*i**g.
2*(i - 2)*(i + 1)*(i + 2)/13
Let i(b) be the first derivative of -b**4/3 + 2*b**3 - 4*b**2 + 11*b + 33. Let s(x) be the first derivative of i(x