pose -236*r**h - 2*r + 3*r**2 - 12 + 239*r**3 + 3*r - 13*r = 0. Calculate r.
-2, -1, 2
Let z(f) be the second derivative of -f**6/10 + 6*f**5 + f**4/4 - 20*f**3 - 226*f. Let z(u) = 0. Calculate u.
-1, 0, 1, 40
Let f(r) = -13*r - 6. Let z be f(-1). Factor 5*b + 3*b**2 - z + b + 10.
3*(b + 1)**2
Let o(q) be the first derivative of -q**5 + 35*q**4/4 - 15*q**3 - 35*q**2/2 + 50*q - 195. Determine n so that o(n) = 0.
-1, 1, 2, 5
Let j be (-8)/(-36)*6/44. Let v(k) be the first derivative of 0*k + 1/22*k**4 + 0*k**5 + 12 + 0*k**3 + 0*k**2 - j*k**6. Determine z so that v(z) = 0.
-1, 0, 1
Factor -1197*q - 804*q - 189*q - 43*q + 248004 + 241*q + 4*q**2.
4*(q - 249)**2
Let l = -113/1435 + 17/82. Let x = 1/14 + l. Determine a, given that x + 1/5*a**3 - 1/5*a**2 - 1/5*a = 0.
-1, 1
Factor 19/6 + 1/6*k**2 - 10/3*k.
(k - 19)*(k - 1)/6
Let a(q) be the first derivative of q**8/168 + q**7/70 - q**6/120 - q**5/20 - q**4/24 - 9*q**2/2 + 11. Let x(t) be the second derivative of a(t). Factor x(f).
f*(f - 1)*(f + 1)**2*(2*f + 1)
Suppose -39*x + 12 = -38*x. Let -45*m + 40 - x*m**2 - 5*m**2 + 22*m**2 = 0. What is m?
1, 8
Factor -30*u**2 - 5*u**3 - 4*u - 7*u**3 + 5*u**4 + 4*u**3 - 12*u**3 + 24*u + 25.
5*(u - 5)*(u - 1)*(u + 1)**2
Factor 20 - 74 - 24*g**3 - g**2 - 3*g**4 + 54 - 56*g**2 - 36*g.
-3*g*(g + 1)*(g + 3)*(g + 4)
Let c(u) = 5*u + 54. Let r be c(-10). Let s(w) = 2*w**2 + 48*w + 242. Let l(j) = 6*j**2 + 143*j + 726. Let n(a) = r*l(a) - 11*s(a). Let n(d) = 0. Calculate d.
-11
Let i(t) = 6*t**3 - 42*t**2 - 11*t. Let l(u) = -u**3 + 8*u**2 + 2*u. Let p(j) = 2*i(j) + 11*l(j). Factor p(x).
x**2*(x + 4)
Let f(b) be the first derivative of b**3 - 6*b**2 + 534. Let f(n) = 0. Calculate n.
0, 4
Let q(a) be the first derivative of -7 + 2*a**2 - 3*a**4 + 8*a - 16/3*a**3. Find g, given that q(g) = 0.
-1, 2/3
Solve -24/7*f**2 + 30/7*f**3 + 24/7*f**4 - 27/7*f - 3/7*f**5 + 0 = 0.
-1, 0, 1, 9
Solve 0 + 60/7*b - 2/7*b**2 = 0.
0, 30
Let k(m) be the first derivative of 0*m + 14/15*m**3 + 4 + 3/10*m**4 - 6/5*m**2. Factor k(q).
2*q*(q + 3)*(3*q - 2)/5
Suppose 4*p = -h - 1, 2 = h + p - 0*p. Let -h*g - 6 - 2*g**2 - 3*g + 14*g = 0. What is g?
1, 3
Let l be 145/66 - (-1)/(6 + 0). Let t = l + 32/33. Find o such that -14/3*o**4 + 4/3 + 6*o - 6*o**3 + t*o**2 = 0.
-1, -2/7, 1
Let n(o) be the third derivative of o**8/84 - 8*o**7/105 + 16*o**5/15 - 8*o**4/3 - 53*o**2. Determine w so that n(w) = 0.
-2, 0, 2
Let b = -18 + 21. Factor 80*l - 11*l**3 + 8*l**3 - 40*l**2 + 8*l**b.
5*l*(l - 4)**2
Let k(y) be the third derivative of y**9/171360 + y**8/10080 + y**7/4284 + 3*y**5/20 + 6*y**2. Let o(z) be the third derivative of k(z). Factor o(s).
2*s*(s + 5)*(3*s + 2)/17
Let v be (4 - (7 - (-25)/(-10)))*-6. Let p(h) be the first derivative of -1/2*h**2 - 1/3*h**v + 7 + 1/4*h**4 + h. Find j such that p(j) = 0.
-1, 1
Let n = 0 - -5. Suppose -n*k = 2*i - 19, 2*i + 3*i = -4*k + 22. Find g, given that -k*g**3 + 3*g - 13 + 13 = 0.
-1, 0, 1
Let j(m) be the second derivative of 65/2*m**3 + 25/4*m**5 - 7*m + 45/2*m**2 + 0 + 275/12*m**4. Find y such that j(y) = 0.
-1, -3/5
Let k(l) be the first derivative of l**4/12 - 5*l**3/9 - l**2 + 132. Suppose k(d) = 0. Calculate d.
-1, 0, 6
Let l(b) be the third derivative of 0 + 0*b + 0*b**4 + 0*b**5 + 0*b**3 - 1/80*b**6 - 10*b**2. What is g in l(g) = 0?
0
Suppose -36 - 105*p**2 + 170*p + 258*p + 41*p**3 + 261*p - 3*p**4 - 585*p - p**5 = 0. Calculate p.
-9, 1, 2
Let d(j) = 34*j**2 + 8*j + 14. Let g be d(-6). Let a be ((-204)/g)/((-6)/10). Suppose a*l**2 + 0 - 2/7*l = 0. What is l?
0, 1
Let f be (-4)/15*-3*610/244. Solve -8/5*k**4 + 0 - 2/5*k**5 + 0*k + 0*k**f - 8/5*k**3 = 0.
-2, 0
Suppose 6*v = 31 + 11. Let u(w) be the third derivative of -1/3*w**4 - 1/15*w**6 + 0 - 1/105*w**v - 2*w**2 + 0*w - 1/5*w**5 - 1/3*w**3. Factor u(y).
-2*(y + 1)**4
Let -32*k**2 + 151*k**4 - 94*k**2 + 21*k**5 - 39*k**2 - 66*k**2 + 48 + 32*k**4 + 93*k**3 - 114*k = 0. Calculate k.
-8, -1, 2/7, 1
Let v = -15 - -18. Suppose 2*m = -3*q + 1, -m + 2*m = -v*q - 1. Find s such that -2/7*s + 4/7*s**3 + 0*s**4 - 2/7*s**5 + 0 + 0*s**m = 0.
-1, 0, 1
Let g(k) = 11*k + 418. Let o be g(-38). Suppose 3/2*n**3 + 1/2*n**4 + o*n - 3/2*n**5 - 1/2*n**2 + 0 = 0. What is n?
-1, 0, 1/3, 1
Let h(m) be the third derivative of m**5/210 + 13*m**4/28 - 40*m**3/21 + 2*m**2 + 22. Find g, given that h(g) = 0.
-40, 1
Let s(t) be the third derivative of -t**5/240 - t**4/48 + t**3/3 + 58*t**2. Suppose s(y) = 0. What is y?
-4, 2
Let x(r) = -2*r - 16. Let v be x(-12). Let n(t) = 7 + v*t + 10*t**2 - 7. Let l(m) = m**2 + m. Let h(f) = -18*l(f) + 2*n(f). Factor h(a).
2*a*(a - 1)
Let k be ((-6)/16)/((-225)/8980). Let q = k - 74/5. Solve -q*y**3 + 1/3*y**2 - 1/6*y + 0 = 0 for y.
0, 1
Let g(n) be the third derivative of n**6/720 + n**5/60 + 31*n**3/6 + 41*n**2. Let a(c) be the first derivative of g(c). Solve a(v) = 0.
-4, 0
Let i = -34 + 66. Solve 284 - i*w - 4*w**2 - 284 = 0.
-8, 0
Let z(o) = -o + 5. Let j be z(8). Let q(d) = -d**3 - 2*d**2 - 4. Let l be q(j). Factor 3*u**5 + 0*u**4 - 4*u**l + 2*u**4 - u**4.
-u**4*(u - 1)
Let z(d) = 3*d**2 + 9*d + 12. Let r be z(-6). Let f be r/231 + 3/14. Factor -2 - f*q**2 - 2*q.
-(q + 2)**2/2
Let u be (1*-2)/2 - 10051/(-114). Let q = u - 87. Factor 0 + q*l**4 + 1/2*l**3 + 1/6*l + 1/2*l**2.
l*(l + 1)**3/6
Let m(j) = -j**2 - 2*j + 7. Let p be m(-3). Let -4*c**p - 6 - 5*c**3 - 2*c**4 + 3*c - c**3 + 10*c**2 + 3*c**5 + 2*c**2 = 0. What is c?
-1, 1, 2
Let t(h) = 7*h**4 - 570*h**3 + 26508*h**2 - 415295*h + 3. Let i(s) = -20*s**4 + 1708*s**3 - 79524*s**2 + 1245884*s - 8. Let j(u) = 3*i(u) + 8*t(u). Factor j(b).
-4*b*(b - 47)**3
Suppose 4*r + 9 - 25 = 0. Solve 4*m**4 - 3*m**4 - 6*m**2 + m**4 + r*m**2 = 0.
-1, 0, 1
Let y(d) = -2*d**4 + d**2 - 2. Let k(m) = -65*m**4 - 5*m**3 + 40*m**2 - 60. Let f(t) = -k(t) + 30*y(t). Factor f(i).
5*i**2*(i - 1)*(i + 2)
Let g(k) be the second derivative of 4/3*k**4 + 2*k**3 - 36*k**2 - 10*k + 0 - 1/5*k**5. Factor g(n).
-4*(n - 3)**2*(n + 2)
Let s(p) = -p**3 - 5*p**2 + 5*p + 36. Let y be s(-4). Solve -10/21*o**5 - 8/7*o**4 + 0*o + y - 8/21*o**3 + 0*o**2 = 0 for o.
-2, -2/5, 0
Find h, given that 1564 + 292*h - 388 + 3*h**3 - 78*h**2 + 210*h - 82*h = 0.
-2, 14
Suppose -5*w + 0*m + 1 = 3*m, 0 = -w - 4*m + 7. Let a be (6/12)/(((-1)/w)/4). Factor -6/7 - 8/7*v - 2/7*v**a.
-2*(v + 1)*(v + 3)/7
Let a(f) = 2*f**3 - 22*f**2 - 26*f + 5. Let u(s) = s**3 - 7*s**2 - 8*s + 2. Let m(x) = -6*a(x) + 21*u(x). Suppose m(i) = 0. What is i?
-1, 2/3, 2
Suppose 2*q - 7*q - 7*q = -4*q. Find y, given that 0*y + q*y**3 + 0*y**2 + 3/4*y**4 + 0 = 0.
0
Factor 1/9*c**2 - 2*c + 9.
(c - 9)**2/9
Let r be (-3234)/(-1485) - (-2)/9 - 6/3. Suppose 0 + r*t**3 - 2/5*t**2 - 4/5*t = 0. What is t?
-1, 0, 2
Let a be (-2 - -6) + (25 - 2). Let p = 29 - a. Find u, given that 5*u + 2*u - 27 - u**p - 5*u + 30 = 0.
-1, 3
Let 34/3*q**2 - 16/3*q + 0 - 47/6*q**4 + 8*q**3 + 5/6*q**5 = 0. Calculate q.
-1, 0, 2/5, 2, 8
Factor -2*p**4 - 7*p**3 + 9*p**3 + 10*p**2 + 6*p**3.
-2*p**2*(p - 5)*(p + 1)
Let q(k) = 4*k**2 - 3*k + 8. Let a(g) = g**2 - g. Let w(m) = -15*a(m) + 3*q(m). What is x in w(x) = 0?
-2, 4
Let t(u) be the second derivative of -u**5/10 + 10*u**4/3 - 37*u**3/3 + 18*u**2 + 2*u + 44. Find n such that t(n) = 0.
1, 18
Find i such that 13 + 4*i - 1 - 4*i**2 - 28*i - 48 = 0.
-3
Let p(s) be the third derivative of -s**5/390 + 2*s**4/39 - 16*s**3/39 - 36*s**2 - s. Factor p(m).
-2*(m - 4)**2/13
Let n(q) = 2*q**2 - 23*q - 50. Let r be n(-2). Let f(g) be the third derivative of 2/3*g**3 - 1/30*g**6 + 0 + 1/5*g**5 + 0*g - 1/2*g**r + 2*g**2. Factor f(v).
-4*(v - 1)**3
Let t be (-14 - -6)/(-2 + 1). Suppose -28*z**4 + 16/21 + t*z + 572/21*z**2 - 98/3*z**5 + 74/3*z**3 = 0. What is z?
-1, -2/7, 1
Let v(q) be the second derivative of 9*q - 1/10*q**4 + 0 - 1/15*q**3 + 1/50*q**5 + 2/5*q**2 + 1/75*q**6. Factor v(h).
2*(h - 1)**2*(h + 1)*(h + 2)/5
Let v be (-38)/(-741) + 770/195. Factor -5/2*u**5 + 0 + 0*u - 5/2*u**2 + 5/2*u**v + 5/2*u**3.
-5*u**2*(u - 1)**2*(u + 1)/2
Let o(d) = d**2 + 3*d - 8. Let s be o(-5). Factor -4*a**3 - 2*a**4 - 6*a**s + a**2 + 4*a + 4*a**2 + 3*a**2.
-2*a*(a - 1)*(a + 1)*(a + 2)
Let f(i) be the first derivative of 2*i**6/3 - 4*i**5/5 - 12*i**4 - 16*i**3/3 + 32*i**2 + 496. Factor f(k).
4*k*(k - 4)*(k - 1)*(k + 2)**2
Let v = 0 