 + 0 = 0.
-7, -1, 0
Let f(o) be the third derivative of -o**6/40 - 51*o**5/20 + 53*o**4/4 + 745*o**2 + 2. Factor f(l).
-3*l*(l - 2)*(l + 53)
Suppose 10*q = 2*q + 112. Let c = q + -10. Factor -350*u**2 + 7*u + c*u**5 + 36*u**3 + 322*u**2 - 20*u**4 + u.
4*u*(u - 2)*(u - 1)**3
Let b(a) = -16*a - 1. Let g be b(-1). Suppose g = z + 4*z. Suppose 2 + 3*m + z*m**2 + 1 - 3*m**3 - 3 - 3 = 0. What is m?
-1, 1
Factor -1/3*l**2 - 126 - 43*l.
-(l + 3)*(l + 126)/3
Let u(f) be the third derivative of f**5/180 - 29*f**4/72 + 104*f**3/9 - f**2 - 663. Factor u(o).
(o - 16)*(o - 13)/3
Suppose -3*b + 6 = -3*y, 9*y - 6 = -b + 14*y. Let k(n) = n**2 + n + 1. Let p(c) = 2*c**2 + 137*c + 977. Let v(d) = b*p(d) + 3*k(d). Factor v(j).
5*(j + 14)**2
Let i(d) = 8*d**3 + 58*d**2 - 210*d - 9. Let y(w) = 6*w**3 + 60*w**2 - 210*w - 6. Let p(q) = 4*i(q) - 6*y(q). Find z such that p(z) = 0.
-35, 0, 3
Let q(i) be the third derivative of -i**7/350 + i**6/100 + 124*i**2. Suppose q(h) = 0. What is h?
0, 2
Let m = -109 + 123. Suppose -m = -10*l + 7*l + g, 3*g = 3*l - 12. What is y in 0*y - 1/8*y**l + 3/8*y**2 + 0 - 3/8*y**4 + 1/8*y**3 = 0?
-3, -1, 0, 1
Let q(s) be the second derivative of -5*s**7/42 - 35*s**6/6 - 33*s**5/4 + 175*s**4/12 + 85*s**3/3 - 74*s - 4. Let q(v) = 0. What is v?
-34, -1, 0, 1
Determine w, given that -1/3*w**4 - 189119224/3 - 1723/3*w**3 - 330050*w**2 - 190107652/3*w = 0.
-574, -1
Let y(q) be the second derivative of -q**6/285 - 3*q**5/95 - 13*q**4/114 - 4*q**3/19 - 4*q**2/19 - 2*q + 478. Factor y(m).
-2*(m + 1)**2*(m + 2)**2/19
Let w(k) be the second derivative of k**5/5 - 8*k**4/3 - 22*k**3 + 3*k + 54. Factor w(i).
4*i*(i - 11)*(i + 3)
Determine z, given that 1320/7*z**2 + 439/7 + 442/7*z**3 + 1318/7*z + 1/7*z**4 = 0.
-439, -1
Let f = -888 + 1480. Let u be f/80 - (-20)/(-4). Suppose -u - 24/5*b - 21/5*b**3 + 57/5*b**2 = 0. Calculate b.
-2/7, 1, 2
Let k(r) = r**3 + 5*r**2 + 8*r + 9. Let q be k(-3). Solve 36*w**3 - 108*w + 232 - 104*w**3 + 31*w**3 - 120*w**2 + 33*w**q = 0 for w.
-29, -2, 1
Let a(x) be the second derivative of 10*x + 2 - 68/5*x**5 - 2/15*x**6 - 1496*x**3 - 2178*x**2 - 1222/3*x**4. Determine n so that a(n) = 0.
-33, -1
Let s(y) = 44*y**3 - 900*y**2 + 1784*y - 16. Let v(l) = -14*l**3 + 300*l**2 - 594*l + 5. Let n(z) = -5*s(z) - 16*v(z). Factor n(o).
4*o*(o - 73)*(o - 2)
Let y(u) be the second derivative of -216/5*u**5 + 7776*u**4 - 35*u + 0 + 1/10*u**6 - 746496*u**3 + 40310784*u**2. Factor y(z).
3*(z - 72)**4
Let s(i) = -20*i - 1. Let g be s(2). Let f = g + 45. Solve -12*t + 12*t**3 - 4*t**2 + 8*t**f - 12*t**2 + 34 - 26 = 0 for t.
-2, -1, 1/2, 1
Let c(d) be the second derivative of 0*d**2 + 0 + 2/45*d**3 + 1/90*d**4 - 28*d. Factor c(q).
2*q*(q + 2)/15
Let c = -332992 - -332992. Suppose 0*v + c + 1/12*v**3 - 7/12*v**2 = 0. What is v?
0, 7
Let z(r) be the third derivative of r**4/24 - 33*r**2. Let g(i) = i**2 + 3*i - 1. Suppose 4*q - q = 9. Let l(m) = q*z(m) - g(m). Suppose l(n) = 0. What is n?
-1, 1
Suppose -270*z**2 + z**3 - 44*z - 22*z - 265*z**2 + 554*z**2 = 0. Calculate z.
-22, 0, 3
Let y(g) be the second derivative of g**7/420 - g**6/240 - g**5/60 + 183*g**2/2 - 17*g. Let s(q) be the first derivative of y(q). Factor s(j).
j**2*(j - 2)*(j + 1)/2
Suppose 3*t - 2 = -8, -3*v = -3*t - 15. Let x be (-12)/(-10) - (-48)/10. Suppose 13*i - 10*i**3 + x*i**3 + 6 + i**v - 4*i = 0. Calculate i.
-1, 2
Solve 3000*q**2 + 967243 + 278986*q + 321014*q + 5*q**3 + 39032757 = 0 for q.
-200
Let v(w) be the second derivative of w**7/504 - w**6/16 + 3*w**5/4 + 25*w**4/6 - w**3/2 - 19*w - 1. Let l(t) be the third derivative of v(t). Factor l(d).
5*(d - 6)*(d - 3)
Let 48/5 + 2/5*j**3 - 2*j**2 - 4/5*j = 0. What is j?
-2, 3, 4
Find a, given that 216/5*a**2 - 128/3*a + 0 - 56/5*a**3 + 2/15*a**4 = 0.
0, 2, 80
Let p(n) be the third derivative of 1/66*n**5 + 0 - 3*n + 8*n**2 - 1/330*n**6 + 0*n**3 - 1/44*n**4. Determine u so that p(u) = 0.
0, 1, 3/2
Let z(w) be the third derivative of -1/4*w**4 + 0*w + 1/20*w**6 - w**2 - 3/8*w**5 + 0*w**3 + 1. Factor z(f).
3*f*(f - 4)*(4*f + 1)/2
Let w(l) = -l**2 - 25*l + 84. Let c be w(-28). Let s(b) be the first derivative of 12 - b**5 - 5/2*b**2 + c*b + 5/3*b**3 + 5/4*b**4. What is x in s(x) = 0?
-1, 0, 1
Let n(i) = -3*i**2 - 20053*i - 12560032. Let c(k) = -4*k**2 - 30080*k - 18840044. Let x(s) = 5*c(s) - 8*n(s). Determine o, given that x(o) = 0.
-1253
Let g(i) = -i**5 + 2*i**4 + i**3 - i**2 - 2. Let h(l) = 3*l**5 - 4*l**4 - 10*l**3 + 8*l**2 + 7*l - 2. Let v(b) = 2*g(b) + h(b). Solve v(x) = 0 for x.
-3, -1, 1, 2
Let d(v) be the first derivative of 2*v**3/15 - 26*v**2/5 + 42*v - 39. Factor d(j).
2*(j - 21)*(j - 5)/5
Factor 2/5*i**2 - 62*i + 612/5.
2*(i - 153)*(i - 2)/5
Let u(o) = 1738*o**4 + 158*o**3 - 38*o**2 + 19. Let c(q) = 348*q**4 + 32*q**3 - 8*q**2 + 4. Let x(k) = -19*c(k) + 4*u(k). Suppose x(t) = 0. What is t?
-6/85, 0
Factor -458712/5*d + 226866/5*d**2 + 3/5*d**4 + 230187/5 + 1656/5*d**3.
3*(d - 1)**2*(d + 277)**2/5
Let x(f) = f**2 - 2. Let g be x(-2). Determine k, given that -325*k - 51*k + k**2 - 94*k - 11045 - 6*k**g = 0.
-47
Let t(x) be the second derivative of 1/4*x**4 + 18/7*x**2 - 10/7*x**3 - 1/70*x**6 - 59*x - 1 + 3/70*x**5. Determine o so that t(o) = 0.
-3, 1, 2
Let s be 90/(-144)*18/(-5). Let g(o) be the second derivative of 1/16*o**4 + 5/8*o**3 + s*o**2 + 0 + 3*o. Find x, given that g(x) = 0.
-3, -2
Let c(r) = 2*r**2 - 5. Let k be c(4). Let g = 31 - k. Factor -30*w**5 - 4*w**g - 33*w**5 + 59*w**5.
-4*w**4*(w + 1)
Let 7 - 20*f**2 + 15*f**2 - 220 - 1077 - 445*f = 0. Calculate f.
-86, -3
Let o be (50/12)/(202/303) - 6. Factor o*v**2 - 16*v + 256.
(v - 32)**2/4
Let u(k) = -27*k**2 - 276*k - 456. Let s(o) = -o**3 + 53*o**2 + 555*o + 910. Let x(j) = 3*s(j) + 5*u(j). Factor x(t).
-3*(t - 15)*(t + 2)*(t + 5)
Suppose -41 = 8*h - 33. Let s(f) = -2*f**2 - 67*f. Let o(j) = j**2 + 2*j. Let l(a) = h*s(a) + o(a). Factor l(c).
3*c*(c + 23)
Let y = -85 - -76. Let c be (0/2 + (-18)/y)*1. Factor 5*m**2 - 21*m**c - 2*m + 0 + 4 - 10*m.
-4*(m + 1)*(4*m - 1)
Factor -1031*l**3 + 1614067 - 194*l**3 + 4970*l**2 - 1614063 - 281*l.
-(l - 4)*(35*l - 1)**2
Let -61*g**3 - 4*g**4 + 5*g**3 + 4192*g - 4328*g + 196*g**2 = 0. Calculate g.
-17, 0, 1, 2
Let c(r) be the second derivative of r**7/140 + r**6/240 - r**5/40 - r**4/48 - 26*r**2 - 3*r - 4. Let v(j) be the first derivative of c(j). Factor v(l).
l*(l - 1)*(l + 1)*(3*l + 1)/2
Let q(h) = -h**2 + 2*h + 2. Let k(n) be the second derivative of -2*n**4/3 + 58*n**3/3 + 32*n**2 + 47*n. Let g(j) = -k(j) + 24*q(j). What is l in g(l) = 0?
-4, -1/4
Let i(w) = -5*w + 424. Let c be i(-63). Let v = c - 739. Factor v - 24/5*x + 6/5*x**4 - 36/5*x**3 + 54/5*x**2.
6*x*(x - 4)*(x - 1)**2/5
Let j(f) be the third derivative of f**8/168 - f**7/35 - 9*f**6/20 + 59*f**5/30 - 5*f**4/2 + 898*f**2. Find s such that j(s) = 0.
-5, 0, 1, 6
Let s(p) = -3 - p**3 - 6 - 13*p**2 + 8*p**2 + 4 - 6*p. Let u be s(-4). Let 2*r**u - r**2 - 6*r + 8*r + 5*r**2 = 0. What is r?
-1, 0
Let s(h) be the first derivative of -10/3*h**2 - 131 - 5/2*h**3 + 0*h - 5/24*h**4. Factor s(d).
-5*d*(d + 1)*(d + 8)/6
Let s(c) be the first derivative of c**4/6 - 58*c**3/9 + 17*c**2 + 54*c + 3896. Factor s(x).
2*(x - 27)*(x - 3)*(x + 1)/3
Let n(x) = 2*x + 20. Let l be n(-3). Suppose 0 = -4*p + 30 - l. Factor -f**3 + 0 + 0*f**2 + 1/2*f**p + 0*f.
f**3*(f - 2)/2
Let d(o) be the third derivative of -o**5/60 - 83*o**4/24 + 14*o**3 + 3*o**2 + 99. Determine v so that d(v) = 0.
-84, 1
Let s = -40 - -60. Let d be 3 - s/(-390)*222/(-4). Factor -4/13*y**3 + 6/13*y - 6/13*y**4 - 2/13*y**5 + 4/13*y**2 + d.
-2*(y - 1)*(y + 1)**4/13
Let d be 8621/1631 + 16/(-56). Factor -8/7 + 2/7*x**4 - 2/7*x**2 + 16/7*x - 10/7*x**3 + 2/7*x**d.
2*(x - 1)**3*(x + 2)**2/7
Let d(f) be the second derivative of -f**5/90 - 5*f**4/54 + 74*f**3/27 - 40*f**2/3 - 37*f - 19. Determine y so that d(y) = 0.
-12, 2, 5
Let v(x) be the third derivative of x**7/1440 + x**6/960 - x**5/120 + 19*x**4/8 + x**2 + 20*x. Let q(b) be the second derivative of v(b). Factor q(g).
(g + 1)*(7*g - 4)/4
Let v(x) = -9*x - 32. Let r be v(-4). Solve -2*b + 43*b**r + 44*b**3 + 19*b**2 - 2*b - b**4 - 19*b**4 + 2*b = 0 for b.
-1, 0, 2/23
Let s = -252/281 + 6028/4215. Suppose -2/15*d**5 + 8/15*d**3 - s*d**2 + 2/15*d**4 + 0*d + 0 =