696*c**3/3 + 2208*c**2 + 1152*c + 28. Let k(q) = 0. Calculate q.
-6, -2, -2/3
Suppose -n - 5 = -15. Factor -n + 0*b**2 + 24 + 2 - 4*b**3 - 12*b**2.
-4*(b - 1)*(b + 2)**2
Suppose 3*s - 6*p = -5*p + 10, -5*s + 11 = 4*p. Let c(m) be the first derivative of -3*m**2 + 2*m - 1 - 8/3*m**s. Solve c(r) = 0 for r.
-1, 1/4
Suppose -p + 2*p - 22 = -4*d, 27 = p + 5*d. Factor -10*l**p + 1 - 5*l**5 + 37*l**4 - 27*l**4 + 5*l - 1.
-5*l*(l - 1)**3*(l + 1)
Let t(o) = -12*o**3 - 261*o**2 - 1281*o + 963. Let y(a) = 12*a**3 + 260*a**2 + 1280*a - 964. Let j(f) = -4*t(f) - 5*y(f). Factor j(p).
-4*(p + 11)**2*(3*p - 2)
Let o(j) = 40*j**3 + 45*j**2 - 5*j + 15. Let w(x) = 18 - 2*x**2 + x**3 - 17 + 3*x**2. Let z(q) = o(q) - 25*w(q). Factor z(m).
5*(m + 1)**2*(3*m - 2)
Let c(x) be the third derivative of x**8/112 + 2*x**7/35 + 3*x**6/40 - x**5/5 - x**4/2 + 281*x**2. Suppose c(y) = 0. What is y?
-2, -1, 0, 1
Suppose 2*g = 3*q - g + 27, -q + 3*g = 13. Let j be ((-270)/(-42) - 6) + (-11)/q. Solve 2/5*i**j - 1/5*i + 1/5*i**3 - 2/5 = 0.
-2, -1, 1
Determine r, given that 52/3*r - 338/3 - 2/3*r**2 = 0.
13
Let f(o) = -3*o**2 + 11*o - 20. Let c be f(3). Let s be c/(-9)*14/49. Factor 0*n + 0 - s*n**3 + 2/9*n**2.
-2*n**2*(2*n - 1)/9
Suppose 96*w - 64 + 13*w**3 - 51*w**3 - 15*w**5 + 4*w**2 + 17*w**5 = 0. What is w?
-4, -2, 1, 4
Factor 0*r - 4/11*r**3 + 0*r**2 + 0 + 2/11*r**4 + 6/11*r**5.
2*r**3*(r + 1)*(3*r - 2)/11
Let i(r) be the third derivative of r**6/120 + r**5/5 + 7*r**4/8 - 49*r**3/3 - 33*r**2. Determine m, given that i(m) = 0.
-7, 2
Suppose 72/5 - 6*t - 9/5*t**2 + 3/5*t**3 = 0. What is t?
-3, 2, 4
Suppose 3*x + 394 = 415. Let o(v) be the second derivative of -v**3 + 3/20*v**5 + 0 + 0*v**2 + 1/4*v**4 - x*v. Let o(j) = 0. What is j?
-2, 0, 1
Let q(x) be the third derivative of x**8/252 + 4*x**7/315 - 4*x**6/45 - 16*x**5/45 + 8*x**4/9 + 64*x**3/9 - 8*x**2 - 4. What is a in q(a) = 0?
-2, 2
Let g = 469046/12215 + 2/2443. Factor -3/5*p**2 + 48/5*p - g.
-3*(p - 8)**2/5
Factor -11*y**2 + 2*y**3 + 74*y**4 - 72*y**4 - 11*y**2 + 18*y**2.
2*y**2*(y - 1)*(y + 2)
Factor 2/7*b**3 - 10/7*b**2 - 2/7*b + 10/7.
2*(b - 5)*(b - 1)*(b + 1)/7
Let q(v) be the first derivative of -1/14*v**4 + 1/14*v**5 + 0*v**2 - 4*v - 2 - 2/21*v**3. Let w(n) be the first derivative of q(n). Factor w(j).
2*j*(j - 1)*(5*j + 2)/7
Let w(o) be the third derivative of 0*o**6 + 0*o + 1/504*o**7 + 1/3*o**4 + 0 + 0*o**3 + 0*o**5 - 3*o**2. Let m(y) be the second derivative of w(y). Factor m(c).
5*c**2
Let s be 0*(7/14 - 0). Factor 6/5*j + s - 3/5*j**3 - 3/5*j**2.
-3*j*(j - 1)*(j + 2)/5
Suppose 30*y + 156 = 34*y. Let b be 0 - (3/(-13))/(y/26). Factor 8/13 + b*s**2 - 8/13*s.
2*(s - 2)**2/13
Let n = 2/113 - -89/1356. Let s(k) be the first derivative of 2/3*k**3 + 1 - k + 1/4*k**2 - 1/5*k**5 + n*k**6 - 1/4*k**4. Solve s(b) = 0.
-1, 1, 2
Solve -8/9*l - 40/3 + 2/9*l**2 = 0.
-6, 10
Suppose 4*d - 12 = 0, 7*p - 3*p - 16 = -4*d. Let u = 3 - p. Factor 4*n**3 - n**2 - 2*n + u*n + 0*n.
n**2*(4*n - 1)
Let o = -25 - -28. Determine k so that 0*k**3 - 31*k**2 + 36*k**2 - 5*k**o + 10*k = 0.
-1, 0, 2
Determine g, given that 52*g**3 - 17*g**2 - 48*g**2 + 13*g**2 - 78*g**3 + 30*g**3 = 0.
0, 13
Let h(t) be the first derivative of -5*t**3/3 + 5*t**2/2 + 10*t - 183. Factor h(y).
-5*(y - 2)*(y + 1)
Suppose 78*v - 145 = 72 - 61. Factor 4/7 - p + 36/7*p**3 - 20/7*p**v.
(2*p - 1)**2*(9*p + 4)/7
Determine y, given that -14*y + 3*y**2 - 20*y - 44 - 14*y - 7*y**2 = 0.
-11, -1
Let a(h) = -h - 5. Let p be a(-10). Let u be (3/p)/((-2)/(-10)). Solve 4*o**3 - 2*o**2 + 2*o**2 - 3*o**u = 0.
0
Let s(p) = -22*p**3 + 50*p**2 - 186*p - 210. Let g(i) = -4*i**3 + 10*i**2 - 37*i - 42. Let z(k) = -16*g(k) + 3*s(k). Factor z(a).
-2*(a - 3)*(a + 1)*(a + 7)
Let a(m) be the third derivative of 0*m - 1/200*m**6 + 22*m**2 - 7/40*m**4 - 1/20*m**5 + 0 - 3/10*m**3. Factor a(l).
-3*(l + 1)**2*(l + 3)/5
Let x(b) be the third derivative of -b**6/24 - b**5/12 + 5*b**4/12 - 19*b**2 + 6*b. Factor x(u).
-5*u*(u - 1)*(u + 2)
Let p(f) be the second derivative of -5*f**5/4 + 20*f**4/3 - 65*f**3/6 + 5*f**2 - 20*f. Factor p(v).
-5*(v - 2)*(v - 1)*(5*v - 1)
Factor 0 - 2/3*o**3 + 2/3*o**2 + 4/3*o.
-2*o*(o - 2)*(o + 1)/3
Suppose 42*k = -0*k - 9*k. Factor -2/17*d**2 + k - 4/17*d.
-2*d*(d + 2)/17
Let f(z) be the second derivative of z**6/90 + z**5/15 + z**4/6 - z**3/2 - 20*z. Let p(q) be the second derivative of f(q). Determine t so that p(t) = 0.
-1
Let o be 3 - 4*6/12. Factor -2*p**3 - 3*p - 4*p**3 + 9*p**3 - 4*p**4 + 5*p**2 - o + 0*p**2.
-(p - 1)**2*(p + 1)*(4*p + 1)
Let a be (-11 + (-175)/(-14))/(3/8). Let 0*p**3 + 2/3 + 0*p + 2/3*p**a - 4/3*p**2 = 0. Calculate p.
-1, 1
Let z(y) be the third derivative of y**5/390 + y**4/6 + 88*y**3/39 - 201*y**2. What is l in z(l) = 0?
-22, -4
Suppose -4*i = -8, i = 6*a + 2*i - 20. Let k(c) be the first derivative of 17/14*c**4 + 10 - 20/7*c**2 + 4/7*c**a - 16/7*c + 2/7*c**5. Solve k(m) = 0 for m.
-2, -2/5, 1
Let y(h) = -15*h**3 - 23*h**2 + 47*h + 2. Let r(f) = -4*f**3 - 6*f**2 + 12*f + 1. Let a(j) = 22*r(j) - 6*y(j). Determine s so that a(s) = 0.
-5, 1
Let v be 886/156 + (-1)/3. Let y = v - -2/13. Solve -y*m**4 + m + 11/2*m**2 - m**3 + 0 = 0 for m.
-1, -2/11, 0, 1
Let y be 4/11 - (-96)/(-1232). Factor 0 + 0*x**2 - y*x + 2/7*x**3.
2*x*(x - 1)*(x + 1)/7
Let b be ((-75)/(-135) - -3) + (-2)/9. Solve -2*j**3 - 8/3*j**4 + b*j**2 - 2/3 + 2*j = 0.
-1, 1/4, 1
Let z(i) be the first derivative of -i**4/4 + 2*i**3 + 15*i**2/2 + 8*i - 766. Factor z(u).
-(u - 8)*(u + 1)**2
Let r(n) be the second derivative of -n**5/5 + 44*n**4/3 + 2*n**3/3 - 88*n**2 - 255*n. What is i in r(i) = 0?
-1, 1, 44
Let k(i) be the third derivative of -i**7/5040 + i**4/3 - 12*i**2. Let s(a) be the second derivative of k(a). Factor s(j).
-j**2/2
Let v(m) be the first derivative of 2*m**2 + 8/3*m - 13 - 8/9*m**3 + 2/9*m**6 + 0*m**5 - 4/3*m**4. Find l, given that v(l) = 0.
-1, 1, 2
Let n(v) be the third derivative of -v**7/1155 - 2*v**6/165 + 19*v**5/330 - 5*v**4/66 - 490*v**2. Suppose n(i) = 0. What is i?
-10, 0, 1
Let k be (6/(-9))/(-1) - (-6)/9. Factor -12 + 8*m - k*m**2.
-4*(m - 3)**2/3
Let j be (0*10/30)/(-2). Let o(d) be the second derivative of 24/25*d**5 + 4/15*d**4 + 0*d**2 + 6/5*d**6 + 0*d**3 + j + 3*d + 10/21*d**7. Factor o(f).
4*f**2*(f + 1)*(5*f + 2)**2/5
Factor 2378*u**3 - 2376*u**3 + 0 - 1 + 1 - 100*u**2.
2*u**2*(u - 50)
Let o(m) be the third derivative of 625*m**8/144 - 425*m**7/42 + 80*m**6/9 - 26*m**5/9 - 2*m**4/3 + 8*m**3/9 + 145*m**2. Determine n, given that o(n) = 0.
-1/7, 2/5
Let r(d) be the first derivative of 12*d**5/5 - 189*d**4/4 + 44*d**3 + 45*d**2/2 - 931. Solve r(l) = 0.
-1/4, 0, 1, 15
Let g be (-75)/12*(-36)/45. Let w be (-3 - 0)/((-9)/6). Solve 0 + 21/5*z**4 + 0*z + 3*z**3 + 3/5*z**w + 9/5*z**g = 0 for z.
-1, -1/3, 0
Suppose -4*y + 2*o + 14 = 0, 5*y - 25 = -o - 4. Factor -16*r**2 + 17*r**4 - 17*r**4 - 12*r + 8*r**5 - 2 + 4*r**3 + 18*r**y.
2*(r - 1)*(r + 1)**3*(4*r + 1)
Solve 0 + 6/5*w**2 + w + 1/5*w**3 = 0 for w.
-5, -1, 0
Let i be (21 - (4 - 3))*3/6 - 7. Suppose 1/5*j**2 - 1/5*j**4 + 1/5*j**i + 0 - 1/5*j = 0. What is j?
-1, 0, 1
Let g = 75 + -78. Let z = 8 + g. Let 0*j**2 + 18/7*j**3 + 0 - 3/7*j + 9/7*j**z - 24/7*j**4 = 0. What is j?
-1/3, 0, 1
Let h = -128 + 113. Let w(u) = 4*u**4 - u**3 - 5*u**2 - 6*u. Let t(s) = -s**4 + s**3. Let j(l) = h*t(l) - 5*w(l). Factor j(y).
-5*y*(y - 2)*(y + 1)*(y + 3)
Let x = 197/1043 + 57/149. Factor x*u - 2*u**2 + 0.
-2*u*(7*u - 2)/7
Let r be (-8)/(-6)*(10 + (-17)/2). Let p(x) be the first derivative of -11/3*x**r + 26/9*x**3 - 1 - 2/3*x**4 + 4/3*x. Factor p(z).
-2*(z - 2)*(z - 1)*(4*z - 1)/3
Let l(a) be the second derivative of a**5/20 - 5*a**4/12 + 4*a**3/3 - 7*a**2 + 34*a. Let z be l(4). Let 0 + 4/3*q - 2*q**3 - z*q**2 + 4/3*q**4 = 0. What is q?
-1, 0, 1/2, 2
Let b(f) be the first derivative of -f**4/16 - 4*f**3/3 + 35*f**2/8 - 9*f/2 - 24. Solve b(o) = 0.
-18, 1
Let f be 3 + 2/(-1 - 1). Suppose -4*j - n = -8 - 8, 4 = n. Factor -3*y**3 + 2*y**4 - f*y + 8*y**3 - 2*y**j + 6*y**2 - 9*y**3.
2*y*(y - 1)**3
Factor -3 + 9 + 24 - 57*z + 18 - 6 + 3*z**3 + 12*z**2.
3*(z - 2)*(z - 1)*(z + 7)
Let q = -11995/3 + 23999/6. Solve 3/2*p + q*p**2 - 3 = 0 for p.
-2, 1
Let c(l) be the second derivative of 0 - 1/130*l**5 + 3/13*l**2 - 1/26*l**4 + 33*