e -1 - ((-12)/(-1))/(-3). Let n(k) = -8*k**2 - 8*k. Let a(f) = -7*f**2 - 7*f. Let u(w) = i*n(w) - 4*a(w). Factor u(v).
4*v*(v + 1)
Let v(w) = -2*w**3 - w**2 + 1. Let d be v(1). Let t be (-30 + 3)*2/d. Factor -3*j + 10*j**2 - t*j**3 - 22*j**2 - 6*j**2 - 12*j**4.
-3*j*(j + 1)**2*(4*j + 1)
Let m be (-18)/(-10)*-7*20/(-4). Let u be (-105)/(-27) - (-7)/m. Determine j so that u*j**2 + 3*j + 2/3 + 5/3*j**3 = 0.
-1, -2/5
Determine v, given that -224/13*v**3 - 6704/13*v**2 - 2/13*v**4 - 24192/13*v - 23328/13 = 0.
-54, -2
Let c(d) be the third derivative of -d**8/252 - d**7/126 + 11*d**6/360 + 7*d**5/180 - 7*d**4/72 - d**3/9 - 53*d**2. Find k, given that c(k) = 0.
-2, -1, -1/4, 1
Suppose 3*m - 58 = -5*o, -7*o - 35 = -5*m - 3*o. Let i(p) be the second derivative of 0*p**2 + 5/9*p**4 + m*p + 0 + 1/12*p**5 + 5/6*p**3. Solve i(j) = 0.
-3, -1, 0
Let m(d) be the first derivative of 0*d**2 + 1/4*d**3 + 3/16*d**4 + 6 + 0*d. Let m(f) = 0. Calculate f.
-1, 0
Let i = 2922 - 2917. Let l(j) be the third derivative of -4*j**2 + 0 + 0*j + 0*j**3 - 1/20*j**i + 0*j**4. Let l(f) = 0. What is f?
0
Let y = -2034 + 2034. Let -1/2*n**2 - 1/2*n**3 + 0 + y*n = 0. Calculate n.
-1, 0
Let k = -7/82 - -209/1968. Let i(b) be the third derivative of -b**2 - 1/240*b**5 - 1/480*b**6 + 0 + 0*b**3 + k*b**4 + 0*b. Solve i(l) = 0.
-2, 0, 1
Let x(v) be the third derivative of -1/24*v**6 - 1/42*v**7 + 0*v**3 + 5/336*v**8 - 32*v**2 + 1/12*v**5 + 0*v**4 + 0 + 0*v. Determine b so that x(b) = 0.
-1, 0, 1
Let j be (-16)/10*(-20)/8. Suppose -j*x - 3*a + 11 = 0, x - 2 = -3*a + 3. Suppose 4*n**2 - 5*n**4 + 2*n**3 - 2*n - 6*n**x + 7*n**4 + 0*n**3 = 0. What is n?
-1, 0, 1
Suppose -40 = 4*n + 4*s - 0*s, 5*n - 4*s = -77. Let z = n - -39. Let 3*c + 2 + 36*c**2 + 4*c**4 + 11*c - 6*c**2 + 4*c**4 + z*c**3 = 0. What is c?
-1, -1/4
Suppose -4 = -2*u + 6. Let k be u/10 + -1 - (3 + -4). Suppose -1/2*i + 0 - k*i**3 + i**2 = 0. Calculate i.
0, 1
Let t(o) be the second derivative of o**5/4 + 125*o**4/6 - 260*o**3/3 - 662*o. Factor t(r).
5*r*(r - 2)*(r + 52)
Let r(z) be the first derivative of -z**3/15 + 99*z**2/5 - 9801*z/5 + 261. Solve r(q) = 0 for q.
99
Let j(r) = -r**3 + 23*r**2 - 75*r - 19. Let t be j(19). Factor t + 4/11*l**2 - 2/11*l - 2/11*l**3.
-2*l*(l - 1)**2/11
Let k = 1092 + -19651/18. Let r(s) be the third derivative of 5/6*s**3 + k*s**4 + 1/36*s**5 - s**2 + 0 + 0*s. Suppose r(c) = 0. What is c?
-3, -1
Solve 0*s - 1/5*s**4 + 0 - 4/5*s**2 + s**3 = 0.
0, 1, 4
Let m(f) be the second derivative of f**4/36 + 3*f**3/2 - 29*f**2/3 - 2*f + 2. Determine p so that m(p) = 0.
-29, 2
Let o(s) = 9*s**4 - 13*s**3 - 9*s**2 + 13. Let f(r) = -2*r**4 + 3*r**3 + 2*r**2 - 3. Let q = -10 - -16. Let c(x) = q*o(x) + 26*f(x). Solve c(a) = 0 for a.
-1, 0, 1
Suppose -u - 12 = 3*b, 3*b + 12 = -u - u. Let z be 31/62 - (0 + u)/(-1). Find y such that -1/2*y**3 - 1/2 + z*y**2 + 1/2*y = 0.
-1, 1
Let y(t) = 47*t**2 - 280*t - 67. Let p(b) = -72*b**2 + 420*b + 100. Let m(u) = -5*p(u) - 8*y(u). Find h, given that m(h) = 0.
-1/4, 9
Let s(r) = r**2 + r. Let z be s(-2). Suppose k + 8 = z*p, p - 3*k + 0*k - 4 = 0. Solve -3 - 1 + 6*u**2 + 0*u**2 + p*u - 3*u**3 - u**2 = 0 for u.
-1, 2/3, 2
Let p(m) = 15*m**4 + 305*m**3 - 840*m**2 + 980*m - 405. Let q(i) = -i**4 - 22*i**3 + 60*i**2 - 70*i + 29. Let w(k) = 4*p(k) + 55*q(k). Factor w(j).
5*(j - 1)**3*(j + 5)
Determine f, given that -35 + 36*f**2 - 3*f**3 - 63*f - 79 - 22 - 158 = 0.
-2, 7
Let y be (2 - (-8)/(-16))/(869/176 - 4). Solve 2/15*s**2 - 16/15*s + y = 0.
2, 6
Let o = 10400514 - 6271507888/603. Let d = o + 10/67. Find r such that 8/9 + d*r + 14/9*r**2 = 0.
-2, -2/7
Let y(a) be the third derivative of -a**6/120 + a**4/2 + 8*a**3/3 - 213*a**2. Suppose y(l) = 0. What is l?
-2, 4
Let v(k) be the second derivative of k**7/14 + 13*k**6/10 + 9*k**5 + 28*k**4 + 32*k**3 + 280*k - 2. Determine w, given that v(w) = 0.
-4, -1, 0
Let x = 109 + -97. Let 5 - 18*l**4 - 8*l**5 - 24*l + 38*l**2 - 13 + 2*l**3 + 6*l**3 + x*l**3 = 0. Calculate l.
-2, -1/4, 1
Let b(q) be the third derivative of q**9/30240 - q**8/5040 - 11*q**5/60 - 11*q**2. Let t(m) be the third derivative of b(m). Suppose t(k) = 0. What is k?
0, 2
Solve -2*l**3 - 8*l**4 + 1 - 7/2*l**5 + 11/2*l + 7*l**2 = 0.
-1, -2/7, 1
Let d(p) be the first derivative of -p**5/10 + p**4/2 - 4*p**2 - 8*p - 7. Let w(s) be the first derivative of d(s). Suppose w(z) = 0. What is z?
-1, 2
Let g(u) be the second derivative of 2*u**4 - 2*u**3 - 40*u + 1/14*u**7 - 9/20*u**5 + 0*u**2 - 1/5*u**6 + 0. Factor g(s).
3*s*(s - 2)*(s - 1)**2*(s + 2)
Let w = -26030 + 131122/5. Suppose 3/5*s**5 - 48/5*s**4 - 648/5 + 219/5*s**3 - 54/5*s**2 - w*s = 0. Calculate s.
-1, 6
Let c = 12 + -41. Let j be (-4 - -2) + c/(-4). Factor 45/2*r**4 + 30*r**2 + 45/4*r + 75/2*r**3 + j*r**5 + 3/2.
3*(r + 1)**4*(7*r + 2)/4
Let x(m) be the second derivative of 6*m**7/7 + 58*m**6/15 - 66*m**5/5 - 124*m**4/3 + 80*m**3 + 64*m**2 - m - 25. Determine q, given that x(q) = 0.
-4, -2, -2/9, 1, 2
Suppose -4*u + 35 + 21 = 0. Solve 16*c**3 + 6*c**3 + 2*c - 65*c**4 - u*c**2 + 55*c**4 = 0.
0, 1/5, 1
Let s(o) be the second derivative of 0*o**4 + 0 + 1/9*o**3 - 2/225*o**6 + 2/15*o**2 + 7*o - 1/30*o**5. Solve s(u) = 0 for u.
-2, -1, -1/2, 1
Let w = -102 - -94. Let j be (16/4 + w)/((-9)/6). What is v in -8/9*v**4 + j*v**2 + 4/9 - 2/9*v**3 + 22/9*v = 0?
-1, -1/4, 2
Let j(f) be the first derivative of -1/16*f**4 + 0*f**2 + 0*f**5 + 0*f**3 - 8 + 0*f + 1/24*f**6. Suppose j(a) = 0. What is a?
-1, 0, 1
Let o = 1 - -1. Suppose 2*x + 4*k + 14 = o, 2*k = 2*x - 12. Factor -1/2*s**3 + 1/4*s**x + 1/2*s - 1/4*s**4 + 0.
-s*(s - 1)*(s + 1)*(s + 2)/4
Factor -3/2*j**2 - 42*j - 225/2.
-3*(j + 3)*(j + 25)/2
Suppose 0 = 2*v + l - 8, 0*l - l = -v - 2. Suppose 16*y**v - y**3 + 5*y + 3*y**3 + 27*y = 0. Calculate y.
-4, 0
Let 3*c**2 + 0 + 0*c - 3/2*c**4 + 3/2*c**3 = 0. What is c?
-1, 0, 2
Let h(m) = 5*m**2 - 5*m**2 + 2 - m + m**2 + m**3. Let z be h(0). Factor 18 - 18 + z*s**2.
2*s**2
Solve 0*t**2 - 3/8*t**3 + 0 + 0*t - 3/8*t**4 = 0 for t.
-1, 0
Let w(y) = -y - 1. Let t(l) = 2*l**4 + 2*l**3 - 14*l - 14. Let v = -33 + 31. Let m(r) = v*t(r) + 28*w(r). Solve m(d) = 0.
-1, 0
Let x(i) be the first derivative of -i**4/6 + 3*i + 7. Let r(s) be the first derivative of x(s). Solve r(k) = 0.
0
Factor -2/5*r**2 - 4/5 - 6/5*r.
-2*(r + 1)*(r + 2)/5
Let o = -194 + 197. Let x(p) = p**2 + 10*p - 20. Let j be x(-12). Determine d, given that 6/5*d**o - 2/5*d**5 - 4/5*d + 0 + 2/5*d**2 - 2/5*d**j = 0.
-2, -1, 0, 1
Let g(p) be the first derivative of p**4/32 - 13*p**3/24 - 7*p**2/8 + 25. Factor g(c).
c*(c - 14)*(c + 1)/8
Factor -2/15*h**3 + 0 - 66/5*h**2 - 196/15*h.
-2*h*(h + 1)*(h + 98)/15
Let h = 221 - 316. Let g = -91 - h. Solve -4/11*m - 126/11*m**g - 102/11*m**3 + 0 - 54/11*m**5 - 34/11*m**2 = 0 for m.
-1, -2/3, -1/3, 0
Let f = -1871 - -1873. Factor 8/7*w + 8/7 + 2/7*w**f.
2*(w + 2)**2/7
Let t = -92055/4 - -23014. What is h in 5/4 + 3/2*h + t*h**2 = 0?
-5, -1
Factor -6/7*z + 8/7 - 2/7*z**2.
-2*(z - 1)*(z + 4)/7
Let r(t) = 28*t**2 - 2*t - 29*t**2 + 14*t + 5. Let i be r(12). Solve 2/5*d**i + 8/5*d**2 + 0 + 2/5*d + 12/5*d**3 + 8/5*d**4 = 0 for d.
-1, 0
Let y(m) = -84 - 4*m - 37 - 5. Let j be y(-32). What is r in 2/5*r**3 + 0 - 2/5*r**j + 0*r = 0?
0, 1
Let u(r) = r**3 - 23*r**2 - 23*r - 21. Let a be u(24). Let c(y) = y + 7. Let h be c(-5). Suppose 0*q**a - h*q**5 + 7*q**3 - 2*q - 3*q**3 = 0. What is q?
-1, 0, 1
Let t(x) be the first derivative of 3*x**2 + 2 - 8*x + 2/3*x**3. Determine j so that t(j) = 0.
-4, 1
Let u(s) be the third derivative of 1/360*s**6 - 1/72*s**4 + 0*s + 0 + 1/18*s**3 + 10*s**2 - 1/180*s**5. Factor u(z).
(z - 1)**2*(z + 1)/3
Suppose -4*y = 3*d - 9, 5*y - d = -17 + 14. Find k, given that -2/5*k**2 + y - 2/5*k**3 + 2/5*k + 2/5*k**4 = 0.
-1, 0, 1
Let a be (-1)/6*(-1275)/34. Let w = a - 6. Factor -1/4*f**5 + 0 + 0*f**4 + 1/2*f**3 - w*f + 0*f**2.
-f*(f - 1)**2*(f + 1)**2/4
Let n(c) be the second derivative of c**3 + 1/8*c**4 + 3*c**2 - 33*c + 0. Let n(d) = 0. What is d?
-2
Let n(j) be the first derivative of -j**5/20 - 3*j**4 - 72*j**3 + 13*j**2/2 - 2*j - 31. Let h(o) be the second derivative of n(o). Factor h(i).
-3*(i + 12)**2
Let l(t) = 2*t**3 - 16*t**2 - 24*t + 57. Let p be l(9). Let w(h) be the first derivative of -5 - 3/35*h**5 + 3/7