3520 - m**7/4410 - m**4/6 + 2*m. Let p(a) be the third derivative of z(a). Factor p(o).
-2*o**2*(o + 2)/7
Let a(v) be the third derivative of v**6/60 - 2*v**5/15 + 5*v**4/12 - 2*v**3/3 - 6*v**2. Factor a(s).
2*(s - 2)*(s - 1)**2
Let b(s) = 2 - 13*s**2 - 7 + s + 8*s + 4*s**3. Suppose -3*f = -2*f - 5. Let l(q) = 6*q**3 - 20*q**2 + 14*q - 8. Let m(v) = f*l(v) - 8*b(v). Factor m(p).
-2*p*(p - 1)**2
Solve -8/3 - 4/3*f**3 - 1/6*f**4 + 8/3*f + 4/3*f**2 + 1/6*f**5 = 0.
-2, 1, 2
Determine g, given that -2/3*g**3 + 0*g - 1/3*g**2 + 0 - 1/3*g**4 = 0.
-1, 0
Let y be (5/30)/((-2)/(-8)). Factor 4/3 - 2/3*p**2 + y*p.
-2*(p - 2)*(p + 1)/3
What is o in -3*o**3 + 2*o - 2 + 5*o**2 - 4*o**4 - 2*o**3 + o**2 + 3*o**3 = 0?
-1, 1/2, 1
Determine d, given that 0*d**3 - 3 - 1 - 8*d**3 + 6*d**3 + 6*d = 0.
-2, 1
Let w = -4636/175 - -186/7. Let v(i) be the first derivative of 0*i**2 + 0*i + w*i**5 - 1/10*i**4 + 1/15*i**6 - 2/15*i**3 - 1. Suppose v(n) = 0. What is n?
-1, 0, 1
Suppose -28*c**3 - 4*c**4 - 39*c**2 + 72 + 12*c + 88*c**2 - 101*c**2 = 0. What is c?
-3, -2, 1
Let h be 4*(-3 + (-18)/(-3)). Factor h*n**3 + 4*n**2 + 15*n**2 + 8*n + n**2 + 0*n.
4*n*(n + 1)*(3*n + 2)
Let s(l) be the first derivative of -l**4/6 - 2*l**3/9 + 8. Factor s(v).
-2*v**2*(v + 1)/3
Suppose -4*r + 5 = -11. Let n(p) be the third derivative of 0 + p**2 + 2/5*p**5 + 7/60*p**6 - 2/3*p**3 + 0*p + 1/4*p**r. Let n(m) = 0. Calculate m.
-1, 2/7
Let -9/2*v**3 + 0 + 3/2*v**4 + 9/2*v**2 - 3/2*v = 0. What is v?
0, 1
Determine b so that -b + 2/3 + 1/3*b**2 = 0.
1, 2
Let l(f) be the first derivative of 0*f + 1/3*f**3 - 1/4*f**4 - 4 - 1/5*f**5 + 1/2*f**2. What is m in l(m) = 0?
-1, 0, 1
Let p(w) be the second derivative of 0*w**3 - 5*w + 3/20*w**5 + 0 - 1/10*w**6 + 0*w**2 + 0*w**4. Suppose p(o) = 0. Calculate o.
0, 1
Suppose 6*t - 36 + 36 = 0. Let m(p) be the third derivative of t - 1/90*p**6 + 1/36*p**5 + 0*p**3 + 1/630*p**7 + 4*p**2 + 0*p - 1/36*p**4. Factor m(w).
w*(w - 2)*(w - 1)**2/3
Factor -15/2*r - 75/4 - 3/4*r**2.
-3*(r + 5)**2/4
Let f(q) be the second derivative of -q**10/90720 + q**8/10080 - q**6/2160 + 7*q**4/12 + 3*q. Let r(s) be the third derivative of f(s). Factor r(n).
-n*(n - 1)**2*(n + 1)**2/3
Suppose 0*i = -5*i + 20. Suppose -i*u - 3*t = 6, 2*u + t = -5 + 3. Let -2/3 + u*c + 2/3*c**2 = 0. What is c?
-1, 1
Let z(s) be the first derivative of s**6/3 + 2*s**5/5 + 6. Find r such that z(r) = 0.
-1, 0
Let d(z) be the third derivative of z**2 + 1/18*z**3 + 0*z - 1/144*z**4 - 1/360*z**5 + 0. Solve d(u) = 0.
-2, 1
Suppose 0 = -o + 4*w - 26 + 8, -2*o + 5*w - 21 = 0. Let t be (o - 0) + 2/(-3). Suppose -2*z - 2/3*z**2 - t = 0. What is z?
-2, -1
Let l(w) be the third derivative of 1/20*w**6 - 1/35*w**7 + 0 + 0*w**4 + 0*w + 1/168*w**8 - 1/30*w**5 - 2*w**2 + 0*w**3. Factor l(c).
2*c**2*(c - 1)**3
Let y(z) be the first derivative of 21*z**4/20 - 82*z**3/15 + 38*z**2/5 + 8*z/5 - 62. Factor y(w).
(w - 2)**2*(21*w + 2)/5
Suppose -5*j - 3*v = -j, j = -3*v - 9. Factor 0*f**j - 3*f**4 + 2*f**2 + 2*f**2 + 2*f**2 + 3*f**3.
-3*f**2*(f - 2)*(f + 1)
Determine z, given that 43*z + 5 - 58*z + 4 + 7*z**2 - z**3 = 0.
1, 3
Let p = 25 - 8. Suppose -f = 4*c + 10, 3*f = -f + 3*c + p. Factor 0*y + 2/3*y**3 - y**4 + 0*y**f + 0.
-y**3*(3*y - 2)/3
Let x(w) be the third derivative of w**7/105 - 8*w**2. Suppose x(n) = 0. Calculate n.
0
Suppose 2*z - 2 = z. Let w be (-6)/(-9)*(4 - 1). Determine r so that -r**z + 2*r**w - 3*r**2 = 0.
0
Let y(d) = -8*d + 72. Let p be y(9). Let w(c) be the second derivative of 0*c**6 + 0 - c + 0*c**2 + 0*c**3 + 1/63*c**7 - 1/30*c**5 + p*c**4. Factor w(a).
2*a**3*(a - 1)*(a + 1)/3
Suppose -9*u + 50 = u. Let i(t) be the third derivative of 1/180*t**u + 0 + 2/315*t**7 + 1/90*t**6 - 2*t**2 + 0*t**4 + 0*t + 0*t**3. What is a in i(a) = 0?
-1/2, 0
Suppose -5*g + 0*g = -35. Find q such that -17*q**3 - 3*q**4 + 0*q**3 + 9*q**5 + g*q**2 - 4 + 3*q + 5*q = 0.
-1, 2/3, 1
Let x(v) be the second derivative of v**5/20 + v**4/2 + 3*v**3/2 + 3*v + 13. Let x(c) = 0. Calculate c.
-3, 0
Let w(b) = -5*b**3 - 7*b**2 + 3*b. Let j(u) = -2*u**3 - 4*u**2 + 2*u. Let s(i) = 9*j(i) - 4*w(i). Factor s(c).
2*c*(c - 3)*(c - 1)
Let z(k) be the third derivative of k**6/120 + k**5/20 + 2*k**3/3 - k**2. Let w be z(-3). Determine t so that 0*t**3 + 1 + 2*t**w - 2*t**3 + 2*t - 3*t**4 = 0.
-1, 1
Suppose 3*d = -2*d + 3*m + 9, 4*d = -m - 3. Let n(q) = q + 2. Let z be n(d). Determine c so that -6 + 4*c + 3*c + z*c - 3*c**2 = 0.
1, 2
Factor 4/3 - 4/3*l**3 + 4/3*l - 1/3*l**4 - l**2.
-(l - 1)*(l + 1)*(l + 2)**2/3
Let u = -14/13 - -122/65. Let 2/5*q**2 + 0 - u*q = 0. What is q?
0, 2
Let m = 4763/5565 + 1/795. Determine v so that 4/7*v + 0 + m*v**2 = 0.
-2/3, 0
Let z(r) = -4*r**2 - 10*r. Let c(f) = -12*f**2 - 1 - 10*f + 4*f**2 + 4*f**2. Let h(v) = 4*c(v) - 3*z(v). Suppose h(w) = 0. What is w?
-2, -1/2
Let c = -230/3 + 78. Let k = -503/3 - -168. Factor -c*z + 4/3 + k*z**2.
(z - 2)**2/3
Let y(k) be the third derivative of -k**5/20 - k**4/4 - k**2 + 6*k. What is x in y(x) = 0?
-2, 0
Let d(n) = n**3 + 13*n + 2. Let w(y) = 2*y**3 + 14*y + 1. Let l(s) = 5*d(s) - 4*w(s). Determine p so that l(p) = 0.
-1, 2
Let r(f) be the third derivative of -3*f**5/100 + f**4/10 - f**3/10 - 3*f**2. Factor r(c).
-3*(c - 1)*(3*c - 1)/5
Let p = -647849/210 - -3085. Let b(x) be the third derivative of 0*x**3 + 0*x - 1/20*x**5 - 1/24*x**4 - 1/40*x**6 + 2*x**2 - p*x**7 + 0. Factor b(l).
-l*(l + 1)**3
Let z(u) be the third derivative of u**9/68040 + u**8/30240 - u**7/11340 - u**6/3240 - u**4/6 + 4*u**2. Let f(l) be the second derivative of z(l). Factor f(v).
2*v*(v - 1)*(v + 1)**2/9
Let w = -1 - 2. Let g = 7 + w. Find x such that -5*x**3 + 4*x**2 - x**2 + 2*x**3 + 4*x**3 - g = 0.
-2, 1
Let i(z) be the third derivative of 0*z**6 + 0*z**5 + 0*z**4 + 0 + 0*z - 3*z**2 + 1/70*z**7 + 0*z**3. Let i(p) = 0. What is p?
0
Let d = 12 - 6. Let b = d + -3. Find v, given that -6/11*v**b + 8/11*v**4 - 10/11*v**2 + 6/11*v + 2/11 = 0.
-1, -1/4, 1
Suppose 4*u + 10 = 2*u + 5*y, -10 = -5*y. Factor 0*l**4 + u*l**2 - 2/3*l + 4/3*l**3 + 0 - 2/3*l**5.
-2*l*(l - 1)**2*(l + 1)**2/3
Let f be (-49)/(-14) + 1/2. Find z, given that -4*z**2 - 3*z**3 + z**3 - z**f + 2*z**2 + z**2 = 0.
-1, 0
Let d(y) = y**2. Let f(t) be the second derivative of -t**7/42 + t**5/20 + t**4/12 + t. Let b(l) = -2*d(l) + 2*f(l). Factor b(k).
-2*k**3*(k - 1)*(k + 1)
Let v(q) be the first derivative of -q**4 - 4*q**3/3 + 7*q**2 + 2. Let b(o) = -o**3 - o**2 + 3*o. Let g(l) = 14*b(l) - 3*v(l). Find y such that g(y) = 0.
-1, 0
Let q(z) = 20*z**3 + 32*z**2 - 20*z - 16. Let v(j) = -7*j**3 - 11*j**2 + 7*j + 5. Let t(p) = -3*q(p) - 8*v(p). Factor t(l).
-4*(l - 1)*(l + 1)*(l + 2)
What is y in 24 + 58*y + 68*y - 48*y - 21*y**2 = 0?
-2/7, 4
Let p(c) be the third derivative of 1/30*c**6 + 7/60*c**5 + 1/12*c**4 + 0 + 0*c - c**2 - 1/6*c**3. Let p(t) = 0. What is t?
-1, 1/4
Suppose 4*c = 10 + 14. Factor 2*a**4 + 1 + 0*a**2 + 2*a + 6*a**3 - 1 + c*a**2.
2*a*(a + 1)**3
Factor -2/3*l**2 + 0*l - 2*l**4 + 2*l**3 + 2/3*l**5 + 0.
2*l**2*(l - 1)**3/3
Let t(o) be the first derivative of o**3/5 + 3*o**2/10 - 25. Suppose t(b) = 0. Calculate b.
-1, 0
Let s(g) be the second derivative of 0*g**2 + 0 - 2/75*g**6 + 1/105*g**7 - 4*g + 1/15*g**4 - 1/15*g**3 + 0*g**5. Factor s(j).
2*j*(j - 1)**3*(j + 1)/5
Let a(u) = 23*u**2 - 7*u + 24. Let j(b) = 4*b**2 - b + 4. Let o(k) = 6*a(k) - 34*j(k). Factor o(q).
2*(q - 2)**2
Let l = 119/10 - 57/5. What is s in 0 + l*s + 1/2*s**2 = 0?
-1, 0
Let q(w) be the second derivative of -5*w**4/16 - 3*w**3/2 - 3*w**2/2 - 6*w. Factor q(l).
-3*(l + 2)*(5*l + 2)/4
Suppose -3*h + 1 = -2. Factor 1 + 8*j**2 - 12*j - h - 3 - 20*j**2.
-3*(2*j + 1)**2
Let g(j) be the first derivative of j**6/40 + j**5/5 + 5*j**4/8 + j**3 + 4*j**2 + 8. Let q(w) be the second derivative of g(w). Find o, given that q(o) = 0.
-2, -1
Let y = -71 + 711/10. Let s(p) be the second derivative of y*p**5 - p**2 + 1/6*p**4 - 1/3*p**3 - 2*p + 0. Factor s(o).
2*(o - 1)*(o + 1)**2
Let h = -8 + 8. Factor 1/3*a**5 - 1/3*a**3 + 1/3*a**2 + 0 + h*a - 1/3*a**4.
a**2*(a - 1)**2*(a + 1)/3
Suppose 0 = f - 27 + 23. What is l in -1/2 + 5/4*l - 5/2*l**3 + 5/4*l**5 + l**2 - 1/2*l**f = 0?
-1, 2/5, 1
Let i(o) be the second derivative of -1/300*o**6 + o + 0 + 0*o**3 + 1/150*o**5 - o**2 + 0*o