4*v + 1)/3
Let t(o) be the first derivative of 2*o**6/3 - 28*o**5/5 - o**4 + 28*o**3/3 + 106. Let t(y) = 0. What is y?
-1, 0, 1, 7
Let u = -53 - -80. Find w such that -40*w**2 - 38*w + 9 - u*w - 5*w**3 - 39 = 0.
-6, -1
Let h(y) = -9*y**4 - 27*y**3 + 15*y**2 + 27*y. Let t(p) = 10*p**4 + 26*p**3 - 14*p**2 - 26*p - 1. Let a(c) = 5*h(c) + 6*t(c). Determine m so that a(m) = 0.
-1, -2/5, 1
Let w(b) = -b**2 - 63*b + 271. Let y be w(4). Solve 9*i**y - 3/2*i**2 - 15/2*i + 0 = 0.
-5/6, 0, 1
Let c(n) be the first derivative of -920/3*n**3 - 80*n - 150*n**4 - 25*n**5 - 240*n**2 + 16. Find y, given that c(y) = 0.
-2, -2/5
Determine s so that -2367*s**2 + 4399*s**2 - 452*s**4 + 1450*s**2 + 27*s**4 - 2420*s - 10*s**5 - 4185*s**3 + 3558*s**2 = 0.
-22, 0, 1/2, 1
Let l(n) = -n**4 + n**3 + n**2 + n + 1. Let p(m) = m**5 + 4*m**4 - 11*m**3 - 2*m**2 + 8*m - 12. Let j(a) = -4*l(a) - p(a). Determine y so that j(y) = 0.
-2, 1, 2
Suppose 4*i - 56 = -4*g, 3*g - 7*g = i - 50. Let n = -5 + g. Solve -9*m**2 - 3 - 5*m**3 - m**3 - 1 + n = 0 for m.
-1, 1/2
Let r be (-21)/(-7) + (-11)/(28 - 17). Factor 4/7*s**3 + 0*s**r + 0 - 16/7*s.
4*s*(s - 2)*(s + 2)/7
Find v, given that -11/2*v**3 + 1/2*v**5 + 7/2*v**2 + 5*v - 4 + 1/2*v**4 = 0.
-4, -1, 1, 2
Suppose 4*d = -2*f + 22, 8 = 3*f + 4*d - 23. Let v be 12/(5 - f) - 24/(-5). Factor -3/5*l**2 - 6/5*l + v.
-3*(l - 1)*(l + 3)/5
Suppose -10*y + 12 = -4*y. Factor -4*r + 6*r**4 - r**3 - 4*r**y - 2*r**3 + 7*r**3 - 2*r**4.
4*r*(r - 1)*(r + 1)**2
Let f(u) be the first derivative of u**4/6 - 16*u**3/9 + 17*u**2/3 - 20*u/3 + 322. Determine q so that f(q) = 0.
1, 2, 5
Find f, given that 16/9 + 28/9*f**5 - 20/9*f**4 + 64/9*f + 4/9*f**2 - 92/9*f**3 = 0.
-1, -2/7, 1, 2
Factor 7629 + 3*l**3 + 60*l**2 - 7533 - 189*l + 30*l**2.
3*(l - 1)**2*(l + 32)
Let f(t) be the second derivative of t**4/4 + 4*t**3 - 72*t. Find n, given that f(n) = 0.
-8, 0
Let i be (6/10)/(11 + (-981)/90). Let u(x) be the first derivative of 4 - x**4 + 2/3*x**i + 0*x**2 + 0*x + 12/5*x**5 - 4*x**3. Find l, given that u(l) = 0.
-3, -1, 0, 1
Let t(w) be the second derivative of -w**9/15120 + w**8/1344 - w**7/360 + w**6/240 - 2*w**4/3 - 44*w. Let v(i) be the third derivative of t(i). Factor v(o).
-o*(o - 3)*(o - 1)**2
Factor -8/3*p**2 - 2/3*p**3 + 0 + 8*p.
-2*p*(p - 2)*(p + 6)/3
Factor 2/9*j**2 + 44/3 + 70/9*j.
2*(j + 2)*(j + 33)/9
Let c be -2 + 406/(-8)*(-6)/30. Let t = c + -31/4. Factor 2/5 - 4/5*h**2 - t*h.
-2*(h + 1)*(2*h - 1)/5
Let t = 139/45 - 26/9. Let f(h) be the first derivative of -h + 3 + 1/6*h**6 - t*h**5 + 2/3*h**3 + 1/2*h**2 - 1/2*h**4. Let f(q) = 0. What is q?
-1, 1
Let o be 6/21 + (-8)/(-504)*-4. Solve o*f**4 + 0*f + 0 - 8/9*f**3 + 2/3*f**2 = 0 for f.
0, 1, 3
Let o be 2/(-6) + (455/(-98))/(-13). Let i(r) be the second derivative of 1/105*r**6 + 1/70*r**5 + 0*r**2 + 2*r + 0 - o*r**4 - 1/21*r**3. What is l in i(l) = 0?
-1, 0, 1
Let v be 816/(-45)*(5 + 22/(-8) + -3). Solve 578/5 - v*o + 2/5*o**2 = 0.
17
Let h(y) be the third derivative of -y**6/360 + 17*y**5/180 - 2*y**4/9 - 59*y**2 + 3*y. Factor h(f).
-f*(f - 16)*(f - 1)/3
Let b(j) be the first derivative of 8/3*j**3 - 7 + 0*j**2 + 4/3*j**4 + 1/5*j**5 - 8*j. Let y(t) be the first derivative of b(t). Factor y(l).
4*l*(l + 2)**2
Let v be (-48)/18*(2 + 77/(-28)). Factor 1/3 - 1/3*r**v - 1/3*r**3 + 1/3*r.
-(r - 1)*(r + 1)**2/3
Suppose 0 = 54*w - 82 - 134. Factor 32/3*q**2 - 40/3*q**4 + 0*q + 16/3*q**3 + 0 + w*q**5.
4*q**2*(q - 2)**2*(3*q + 2)/3
Factor 0 + 20/11*w**3 + 2/11*w**4 + 48/11*w + 56/11*w**2.
2*w*(w + 2)**2*(w + 6)/11
Let w(y) = y**2 + 4*y + 2. Let o be w(-4). Suppose 0 = 3*z + 4*j - 26, 3*z - 3*j = -o*z - 5. Solve -3*k**3 - 15*k**2 + 6*k**2 + z*k**2 + 4*k**2 = 0 for k.
-1, 0
Let o(v) = -10*v + 6. Let b be o(1). Let u be (-16)/(-28)*(-14)/b. Determine r, given that u*r + 3/2 - r**2 - 2*r**3 - 1/2*r**4 = 0.
-3, -1, 1
Let g(q) = q**3 + 14*q**2 + 13*q + 12. Let s be g(-13). Determine i, given that 31*i**2 + 9*i - 35*i**2 - i + s = 0.
-1, 3
Let a = -25 - -27. Let 8*o**5 + a*o**3 - 342*o**2 - 10*o**4 + 342*o**2 = 0. Calculate o.
0, 1/4, 1
Factor -5*z**4 + 9*z**2 - 8 - 16*z + 8 - 3*z**2 + 9*z**3 + 6*z**4.
z*(z - 1)*(z + 2)*(z + 8)
Suppose -8 = -2*a - 2*q, -5*q + 5 = -0. Factor -8*z + a*z - 4*z**2 + 12 - 3*z.
-4*(z - 1)*(z + 3)
Let q be (15/(-1 + -4))/(-1). Let a be (2/q)/((-4)/(-4)). Suppose -32/3 - a*c**2 - 16/3*c = 0. What is c?
-4
Let p(x) = -x + 2. Let b be p(-8). Suppose -b*f + 12 = -9*f. Solve -9*w**2 + 21*w**2 - f*w**2 + 9*w + 6 - 3*w**3 = 0 for w.
-1, 2
Let u(p) = 11*p**2 + 71*p - 172. Let m(c) = 14*c**2 + 69*c - 173. Let d(z) = 2*m(z) - 3*u(z). Factor d(o).
-5*(o - 2)*(o + 17)
Factor -3 + 64*k**2 + 7 - 1 - 67*k**2.
-3*(k - 1)*(k + 1)
Suppose -2*h - 60 + 6 = -4*m, -4*h - 36 = -2*m. Let x be -1 + 10 - (-7 + m). Suppose -4/9 - 10/9*l**3 - 14/9*l - 2*l**2 - 2/9*l**x = 0. What is l?
-2, -1
Let q = 32160 + -32157. Suppose 15 = 4*g + n - 6, -g = 5*n - 29. Factor 8/11 + 12/11*p**q + 2/11*p**g + 26/11*p**2 + 24/11*p.
2*(p + 1)**2*(p + 2)**2/11
Suppose -33*n + 9*n = 0. Let y(l) be the second derivative of n*l**2 + 6*l - 1/10*l**6 + 1/4*l**4 - 1/2*l**3 + 0 + 3/20*l**5. Factor y(h).
-3*h*(h - 1)**2*(h + 1)
Let l be (21/3 - 5)*(3 - 2). Factor 0*n**l + 2/7*n**5 - 4/7*n**4 + 2/7*n**3 + 0 + 0*n.
2*n**3*(n - 1)**2/7
Let v(g) be the second derivative of -g**7/315 - 26*g**6/225 - 53*g**5/75 + 48*g**4/5 - 9*g**3 - 90*g**2 - 406*g. Find t, given that v(t) = 0.
-15, -1, 2, 3
Suppose 9*b - 35 - 10 = 0. Let i(x) be the third derivative of 1/6*x**3 + 5*x**2 + 0 + 0*x**4 + 0*x - 1/60*x**b. Factor i(m).
-(m - 1)*(m + 1)
Suppose 4*f - 7 - 13 = -k, -16 = -4*f. Let z(w) be the second derivative of 0 + 0*w**k + 1/90*w**5 + 2/9*w**2 - 1/9*w**3 - 5*w. Solve z(u) = 0.
-2, 1
Let v be ((-1387)/(-76) - 18)/((-1)/(-8)). Factor -50/7*r**3 - 104/7*r**v - 4/7 - 58/7*r.
-2*(r + 1)**2*(25*r + 2)/7
Let m(s) be the second derivative of -s**5/160 - 5*s**4/32 + 3*s**3/8 + 2*s**2 - 269*s. Let m(q) = 0. What is q?
-16, -1, 2
Let n(a) be the third derivative of 0*a**6 - 5/48*a**4 - 1/42*a**7 + 1/12*a**5 + 0*a + 5/672*a**8 + 0*a**3 + 6*a**2 + 0. Determine o, given that n(o) = 0.
-1, 0, 1
Factor -41*d**3 - 6*d**4 + 14*d**3 + 15*d**3 + 6*d**2 - d**5 + 9*d + 4*d**3.
-d*(d - 1)*(d + 1)*(d + 3)**2
Let f be (-632)/(-5) + 6/(-15). Suppose 18 = -4*y + f. Factor 27*v + 2*v**3 + y + 18*v**2 - 15 + v**3.
3*(v + 1)**2*(v + 4)
Suppose -2*l**2 + 2*l**2 - 4*l**2 - 738*l - 158*l - 50176 = 0. Calculate l.
-112
Let t(s) be the first derivative of -s**4/3 - 40*s**3/3 - 200*s**2 - s - 41. Let v(c) be the first derivative of t(c). Factor v(y).
-4*(y + 10)**2
Let p(h) be the third derivative of h**6/180 + 7*h**5/90 + 7*h**4/18 + 8*h**3/9 - 272*h**2. Let p(f) = 0. What is f?
-4, -2, -1
Let s(m) be the first derivative of 1/5*m**3 - 3/25*m**5 + 0*m**4 + 5 + 0*m**2 + 0*m. Solve s(w) = 0 for w.
-1, 0, 1
Let i(a) be the second derivative of -17*a - 1/36*a**6 + 0 + 0*a**2 + 1/8*a**5 + 5/72*a**4 - 5/12*a**3. Factor i(l).
-5*l*(l - 3)*(l - 1)*(l + 1)/6
Let t = -18 - -23. Factor 3*j**2 - 2*j**2 + t*j**2 - 2*j**2 - 4.
4*(j - 1)*(j + 1)
Let c be (8/72)/((-5)/130) + 3. What is h in 0 + c*h**2 - 2/9*h = 0?
0, 2
Factor -1/2*y**3 - 5*y**2 - 16*y - 16.
-(y + 2)*(y + 4)**2/2
Let p = 24727 + -222541/9. Solve p*d**2 + 4/9*d + 2/9 = 0 for d.
-1
Let r(j) be the second derivative of j**4/4 + 44*j**3 + 2904*j**2 + 15*j - 4. Factor r(m).
3*(m + 44)**2
Let m(f) be the third derivative of f**5/30 + 3*f**4/4 - 22*f**3/3 - 23*f**2 - 2. Factor m(t).
2*(t - 2)*(t + 11)
Suppose -3*x + 2*x - 10 = 4*g, -4*g = 3*x + 70. Let s be x/(-14)*(5 + (-133)/35). Factor 0 + 2/7*v**5 + s*v - 4/7*v**3 + 24/7*v**2 - 8/7*v**4.
2*v*(v - 3)**2*(v + 1)**2/7
Let b = 44 + -40. Factor o**5 + 7*o**4 - o**3 + 6*o**3 + b*o**5 - 17*o**4.
5*o**3*(o - 1)**2
Let c be (-34)/2550*70/(-4). Let r = c + 1/30. Factor -r*z + 0 + 2/15*z**4 - 2/5*z**2 + 0*z**3.
2*z*(z - 2)*(z + 1)**2/15
Let u(t) = 2*t**2 + 346*t - 84. Let h(y) = 2*y**2 + y - 2. Let k(b) = -12*h(b) + u(b). Factor k(m).
-2*(m - 15)*(11*m - 2)
Let s(h) = -4*h**2 - h - 3. Let y(w) = -5 - 5 + 4*w + 11 - 3*w. Let t(c) = s(c) + 4*y(c). Solve t(z) = 0.
-1/4, 1
Let k(d) = 3*d**3 + 4*d**2 + 5*d. Suppose 4*r = r - c + 2, -5*c = 5*r + 10. Let j(p) = -p**3 - p. Let t(u) = r*k(u) + 4*j(u). Fact