s + 9/2 = 0.
-3
Let l(z) be the third derivative of z**7/315 + z**6/4 - z**5/30 - 137*z**4/36 - 10*z**3 - 352*z**2. Let l(r) = 0. Calculate r.
-45, -1, 2
Solve -27/7*w + 2 + 12/7*w**2 + 1/7*w**3 = 0.
-14, 1
Let p(f) = -f**3 + f**2 + 30*f + 2. Let o be p(-5). Factor 18/5 + 3/5*g**o + 21/5*g.
3*(g + 1)*(g + 6)/5
Let j(y) be the third derivative of 0*y - 1/100*y**5 + 13*y**2 + 3/20*y**4 - 9/10*y**3 + 0. Factor j(w).
-3*(w - 3)**2/5
Determine f, given that -176*f**3 + 9*f**4 + 49*f**2 - 9*f**2 - 27*f**4 = 0.
-10, 0, 2/9
Let f(s) be the first derivative of s**7/525 - s**5/150 + 15*s**2/2 + 11. Let a(m) be the second derivative of f(m). Factor a(l).
2*l**2*(l - 1)*(l + 1)/5
Let m(c) be the second derivative of c**7/42 + c**6/10 - c**5/10 - c**4/2 + c**3/6 + 3*c**2/2 + 13*c - 3. Suppose m(s) = 0. What is s?
-3, -1, 1
Let m(n) be the first derivative of -4*n**3/3 - 12*n**2 + 160*n - 857. Factor m(l).
-4*(l - 4)*(l + 10)
Let z = -149592 - -4488229/30. Let q = z - 43/10. Factor -8/3 - 10/3*o**3 - 32/3*o - q*o**2.
-2*(o + 1)*(o + 2)*(5*o + 2)/3
Let i(k) = k**2 - 18*k + 45. Let m be i(15). Let d(g) be the third derivative of m*g**3 + g**2 - 1/150*g**5 + 0*g + 1/20*g**4 + 0. Factor d(a).
-2*a*(a - 3)/5
Let m(f) be the first derivative of -2*f**3/3 + 95*f**2 - 372*f + 447. Factor m(n).
-2*(n - 93)*(n - 2)
Factor -117/2*b + 0 + 3/2*b**2.
3*b*(b - 39)/2
Let b = -1192 - -8346/7. Let w(a) = -a**2 + 10*a - 7. Let f be w(9). Factor -2/7*l**3 + 2/7*l**f + 2/7*l - b.
-2*(l - 1)**2*(l + 1)/7
Let o(n) be the second derivative of -n**8/1680 + n**7/63 - 5*n**6/36 - 17*n**4/6 + 14*n. Let z(s) be the third derivative of o(s). Find k, given that z(k) = 0.
0, 5
Suppose -4*v + 45 = 17. Find w such that 2*w + v*w + 6*w - 3*w + 4*w**2 = 0.
-3, 0
Let q = -11 + 13. Factor -3*j + 6*j**q - 3 - j**2 + j**2.
3*(j - 1)*(2*j + 1)
Suppose -35 = -9*s - 8. Determine n so that 0 + 2*n**s + 0*n - 2/3*n**2 - 4/3*n**4 = 0.
0, 1/2, 1
Let f be 392/105*16/56. Let v(s) be the second derivative of 2/7*s**7 - f*s**6 + 7/5*s**5 + 0 - 2/3*s**4 + 0*s**2 + 2*s + 0*s**3. Factor v(t).
4*t**2*(t - 1)**2*(3*t - 2)
Let r = -28 - -253/9. Suppose r*i + 1/9*i**4 - 1/9*i**2 + 0 - 1/9*i**3 = 0. What is i?
-1, 0, 1
Let i be 4 + ((-11)/((-1287)/(-18)) - (-44)/(-52)). Solve 3/2*j**i + 1/4*j**4 + 0*j - 1/4*j**5 + 0 + 0*j**2 = 0.
-2, 0, 3
Let w(c) be the second derivative of -1/5*c**3 + 1/50*c**5 - 5*c + 0*c**4 - 2/5*c**2 + 0. Determine i so that w(i) = 0.
-1, 2
Suppose 0 - 11/2*s**4 + 2*s + 12*s**2 + 9/2*s**3 = 0. What is s?
-1, -2/11, 0, 2
Let z be 36/(-6) - (-9 + -1). Let q(k) be the third derivative of 10*k**2 - 1/15*k**3 + 0 + 0*k + 1/30*k**z - 1/150*k**5. Factor q(b).
-2*(b - 1)**2/5
Let q be 6/36*3 + (-1)/(-6). Let k(m) be the first derivative of 0*m + 1/2*m**4 + 2 - q*m**3 + 1/3*m**2 - 2/15*m**5. Factor k(u).
-2*u*(u - 1)**3/3
Suppose 4 = -7*t + 9*t. Suppose t*a - 9 = -5. Factor a + 12 - 8 - 3*h - 3*h**2.
-3*(h - 1)*(h + 2)
Suppose -5*w + 53 = 8*k - 29, 0 = -4*k + 36. Factor 0 - y - 5/4*y**3 - 3*y**w.
-y*(y + 2)*(5*y + 2)/4
Let w(t) be the second derivative of -t**8/6720 + t**7/630 - t**6/720 - t**5/20 - 5*t**4/3 + 36*t. Let o(i) be the third derivative of w(i). Factor o(h).
-(h - 3)*(h - 2)*(h + 1)
Let k(y) be the second derivative of 0*y**3 + 0*y**2 - 2*y + 0 - 5/6*y**4 + 7/6*y**6 + 5/4*y**5. Solve k(c) = 0 for c.
-1, 0, 2/7
Let h = -3911/40 - 17/40. Let w = 99 + h. Factor 4/5 - w*a**3 - 2/5*a - 2*a**2.
-2*(a + 1)*(a + 2)*(2*a - 1)/5
Suppose -57/2*t + 0 + 3/2*t**2 = 0. Calculate t.
0, 19
Let i(d) be the third derivative of d**6/40 - d**5/5 - 5*d**4/8 + 2*d**2 + 52*d. Solve i(h) = 0 for h.
-1, 0, 5
Let a(m) = -8*m**3 - 152*m**2 - 1278*m - 1125. Let v(w) = 9*w**3 + 151*w**2 + 1279*w + 1125. Let x(k) = 4*a(k) + 3*v(k). Determine p, given that x(p) = 0.
-15, -1
Let z(d) = 3*d**2 - 2*d - 1. Let l be z(2). Let v = -5 + l. Factor 0*r**2 - 3*r**2 + 4*r**2 - 2 + r**v.
2*(r - 1)*(r + 1)
Let x(g) be the first derivative of g**5/20 - g**4/8 - g**3/12 + g**2/4 + 32. Factor x(z).
z*(z - 2)*(z - 1)*(z + 1)/4
Solve -28/5*x**2 - 22/5*x**3 - 1/5*x**5 - 17/5*x - 4/5 - 8/5*x**4 = 0 for x.
-4, -1
Let g = -6701081 - -15151144801/2261. Let m = g - 2/323. Factor -2/7*l + 0 - m*l**2.
-2*l*(l + 1)/7
Suppose -2*t = 3*x - 460, -5*t = 5*x - 0*t - 765. Factor x - 3*v + 3*v**2 - 154.
3*v*(v - 1)
Let o be 9/(-3) - (2 - 8). Determine b so that 1/3*b + 0 + 2/3*b**o + 1/6*b**4 + 5/6*b**2 = 0.
-2, -1, 0
Let k(t) = -72*t**4 - 60*t**3 + 365*t**2 - 269*t + 50. Let v(s) = 24*s**4 + 20*s**3 - 122*s**2 + 90*s - 16. Let m(n) = 2*k(n) + 7*v(n). Factor m(o).
4*(o - 1)**2*(o + 3)*(6*o - 1)
Let f(g) be the third derivative of -g**6/40 - 3*g**5/20 + g**4/8 + 3*g**3/2 - g**2 + 8. Let f(u) = 0. What is u?
-3, -1, 1
Let y be 5/(-15)*3 + (-106)/(-6). Let s = y - 16. Suppose -6 - 4*i - s*i**2 = 0. What is i?
-3
Let w(d) = -15*d - 62. Let j be w(-12). Let s = j + -114. Factor 2*g**s - 3*g - 14/3*g**3 + 2/3 + 16/3*g**2 - 1/3*g**5.
-(g - 2)*(g - 1)**4/3
Let f(t) be the second derivative of -4/3*t**3 - 6*t**2 + 0 + 1/3*t**4 - 9*t. Determine n, given that f(n) = 0.
-1, 3
Suppose -3*x = 2*y - 5 + 4, 5*x = 2*y - 25. Suppose -10*a**3 - 4*a**5 + 15*a**3 + 5*a**2 - y*a**4 - a**5 = 0. What is a?
-1, 0, 1
Let 64/7 - 2/7*x**3 + 26/7*x**2 + 92/7*x = 0. What is x?
-2, -1, 16
Let l(a) be the first derivative of a**5/5 + 5*a**4/4 + 2*a**3 - 2*a**2 - 8*a - 22. Solve l(z) = 0 for z.
-2, 1
Let t(g) be the second derivative of -1/210*g**5 + 0 - 1/168*g**4 - 1/840*g**6 - 1/2*g**2 + 0*g**3 - 4*g. Let v(m) be the first derivative of t(m). Factor v(u).
-u*(u + 1)**2/7
Let f(k) be the first derivative of k**4/30 + 2*k**3/45 + 19. Determine v, given that f(v) = 0.
-1, 0
Let a(l) = -20*l**4 + 57*l**3 - 59*l**2 + 23*l - 2. Let s(y) = y**4 + y**3 - y**2 - y + 1. Let i(d) = -a(d) - s(d). Let i(f) = 0. What is f?
1/19, 1
Suppose v - 30 = l, -3*v - l = l - 90. Solve -60 + 26*y + 45*y**4 + 44*y**2 + 194*y - 279*y**2 + v*y**3 + 0 = 0 for y.
-3, 2/3, 1
Let w = -1734 + 1734. Suppose 4*f - f = 0. Suppose w + 3/7*c**2 - 3/7*c**3 + f*c = 0. Calculate c.
0, 1
Let a(n) = 3*n**3 + 23*n**2 - 30*n - 45. Let p(g) = 10*g**3 + 70*g**2 - 90*g - 134. Let u(v) = 16*a(v) - 5*p(v). Find l such that u(l) = 0.
-1, 5
Let b(p) be the second derivative of -5*p**7/42 + p**6/2 - p**5/2 - 93*p - 3. What is d in b(d) = 0?
0, 1, 2
Suppose 6*g + 312 - 336 = 0. Let u(f) be the second derivative of 4/21*f**7 + 5*f + 0 + 1/3*f**g - 2/3*f**6 + 0*f**2 - 2/3*f**3 + 3/5*f**5. Factor u(y).
4*y*(y - 1)**3*(2*y + 1)
Suppose -o - 12*w + 9*w = 12, 0 = -4*o - 4*w - 16. Determine h so that h - 1/2*h**2 + o = 0.
0, 2
Let c be (16/4 + 6 + -7)*1. Let i(p) be the first derivative of 0*p + 4 - 1/17*p**2 + 0*p**c + 1/34*p**4. Suppose i(g) = 0. Calculate g.
-1, 0, 1
Let m(l) = l + 7. Let t be 2 - (3 + 12/4). Let z be m(t). Factor -16*u**z - 6*u - 1 - 6*u**2 + 14*u**3 - 1.
-2*(u + 1)**3
Let d(o) be the third derivative of o**8/5040 + o**7/1260 + 2*o**3 - 9*o**2. Let q(m) be the first derivative of d(m). Determine b, given that q(b) = 0.
-2, 0
Let x be -9 - ((-584)/48 + 3). Let o(u) be the second derivative of 1/12*u**4 + 0 - x*u**3 + u + 0*u**2. Factor o(k).
k*(k - 1)
Suppose 3*g + 398 - 1283 = 0. Factor 295*d + 2*d**3 - 2*d**4 - g*d.
-2*d**3*(d - 1)
Suppose 0 = -x - 5*p - 7 - 7, -26 = -x + 5*p. Suppose x*z = z + z. Solve -2/17*w**2 + 4/17*w + z = 0 for w.
0, 2
Let -483*q**2 + 1806*q**2 + 429*q + 218*q + 243*q**3 - 95*q + 60 = 0. Calculate q.
-5, -2/9
Let x(o) = -7*o**3 + 53*o**2 - 50*o + 2. Let l(r) = 37*r**3 - 266*r**2 + 251*r - 11. Let q(y) = 2*l(y) + 11*x(y). Determine c, given that q(c) = 0.
0, 1, 16
Let z(i) be the second derivative of 4*i**7/3 + 398*i**6/15 + 222*i**5/5 + 11*i**4/3 - 52*i**3/3 - 79*i + 1. Solve z(l) = 0.
-13, -1, -1/2, 0, 2/7
Suppose -184*p - 72 = -220*p. Factor -32*v - 16/5 - 324/5*v**3 - 468/5*v**p.
-4*(v + 1)*(9*v + 2)**2/5
Let w(k) be the third derivative of k**5/30 - 13*k**4/24 + 19*k**3/6 - 47*k**2 + k. Let j(t) = -1 + 2*t - 4*t + 3*t. Let n(g) = -j(g) - w(g). Factor n(a).
-2*(a - 3)**2
Factor -48/5*w**2 - 2/5 - 22/5*w.
-2*(3*w + 1)*(8*w + 1)/5
Let g = 140 - 120. Let y be ((-18)/g - (-6)/15)*-1. Suppose 1/2 - o**3 + 1/4*o**5 + 3/4*o + 0*o**4 - y*o**2 = 0. Calculate o.
-1, 1, 2
Let k(m) be the first derivati