1 = 2*x + 7. Let v be -1*x - (12 - 13) - -3. Factor 4/9 + 0*y**v - 2/3*y + 2/9*y**3.
2*(y - 1)**2*(y + 2)/9
Let f(q) = q. Let h(v) = -4*v + 6 - v + 3*v**2 - 2*v. Let m(y) = 2*f(y) - h(y). Solve m(w) = 0.
1, 2
Let s(m) = 2*m**3 + 7*m**2 + 2*m + 5. Let p be s(-5). Let f = -556/7 - p. Let 0 + f*w**2 + 4/7*w = 0. What is w?
-1, 0
Factor -9*o**2 + o**5 - 11*o**3 + 4*o**3 + 7*o**2 - 4*o**2.
o**2*(o - 3)*(o + 1)*(o + 2)
Let n(j) = 15*j**4 + 27*j**3 + 24*j**2 + 3*j - 3. Let q = -10 + 7. Let s(z) = z**5 - z**2 + z + 1. Let i(w) = q*s(w) - n(w). Factor i(x).
-3*x*(x + 1)**3*(x + 2)
Let h(r) = 6*r - 13. Let c be h(2). Let u be (1/6*0)/c. Suppose 0*n + 0*n**3 + u - 1/2*n**2 + 1/2*n**4 = 0. Calculate n.
-1, 0, 1
Suppose -5*t + 3*y = 0, -19 - 6 = -5*t - 2*y. Suppose -3*p = -t*j + 8 + 7, 0 = 3*j - 15. Factor -1/2*u**2 + p - u.
-u*(u + 2)/2
Let k(t) = 12*t - 30. Let b be k(7). Factor 16*j**4 + 6*j + 2*j**4 + 9*j**4 + b*j**3 + 2*j + 36*j**2.
j*(3*j + 2)**3
Let d = -1 - 6. Let m(q) = 6*q + 45. Let t be m(d). Factor -2/13*z + 2/13*z**t - 4/13 + 4/13*z**2.
2*(z - 1)*(z + 1)*(z + 2)/13
Let f(a) be the third derivative of -a**10/1134000 + a**9/226800 - a**5/20 - 5*a**2. Let m(z) be the third derivative of f(z). Factor m(j).
-2*j**3*(j - 2)/15
Determine l so that 592/5*l**2 + 336/5*l + 64/5 + 84*l**3 + 20*l**4 = 0.
-2, -1, -4/5, -2/5
Let a(q) be the third derivative of -7/6*q**6 + 35/3*q**4 + 0*q - 11/4*q**5 + 0 - 40/3*q**3 - 2/21*q**7 + 10*q**2. Factor a(h).
-5*(h + 4)**2*(2*h - 1)**2
Let c be ((-7)/364)/((1/4)/(0 + -4)). Factor 2/13*w + 2/13*w**3 - c*w**2 + 0.
2*w*(w - 1)**2/13
Let o(y) be the third derivative of 3*y**8/560 + y**7/210 - y**6/36 + y**5/30 + 17*y**4/24 + 37*y**2. Let d(s) be the second derivative of o(s). Factor d(q).
4*(q + 1)*(3*q - 1)**2
Let g = -4535 + 231275/51. Let j = -4/51 - g. Factor -2/17 + j*x**2 + 0*x.
2*(x - 1)*(x + 1)/17
Let t(k) be the third derivative of -k**8/5880 + k**7/1470 - k**5/210 + k**4/84 - 5*k**3/2 + 31*k**2. Let p(d) be the first derivative of t(d). Factor p(v).
-2*(v - 1)**3*(v + 1)/7
Let f(g) be the second derivative of 0*g**2 + 0 + 1/9*g**3 - 39*g - 1/108*g**4. Factor f(x).
-x*(x - 6)/9
Let l(z) = 15*z**2 - 18*z - 54. Let b(g) = -g**3 + 31*g**2 - 39*g - 108. Let y(v) = -3*b(v) + 7*l(v). Suppose y(o) = 0. Calculate o.
-3, 2
Let j(c) = -3*c**4 + 6*c**3 + 3*c**2 - 6*c. Let i(n) = 2*n**4 - 5*n**3 - 2*n**2 + 5*n. Let f(k) = 4*i(k) + 3*j(k). Let f(d) = 0. Calculate d.
-2, -1, 0, 1
Let r(v) be the third derivative of v**7/105 - 2*v**6/15 - v**5/30 + 2*v**4/3 - v**2 + 28. Determine g so that r(g) = 0.
-1, 0, 1, 8
Solve 120/7 - 978/7*l**2 - 30/7*l**5 + 242/7*l**4 - 32/7*l + 678/7*l**3 = 0 for l.
-3, -1/3, 2/5, 1, 10
Suppose 2*k = 0, -5*w - 2*k = -8*w + 3. Let q be w - 1 - (-1 + 2/(-2)). Find d such that 1/2 + 1/2*d**q + d = 0.
-1
Let n = -50 + 38. Let i be 1538/12 - (2 - (-30)/n). Solve -208/3*a**4 + 32/3*a**5 - 52*a**2 + 6*a + i*a**3 + 0 = 0 for a.
0, 1/4, 3
Let q(h) be the second derivative of 1/2*h**4 + 12*h - 1/6*h**5 + 2/3*h**2 + 1/45*h**6 - 7/9*h**3 + 0. Factor q(d).
2*(d - 2)*(d - 1)**3/3
Let a = -12234 + 134576/11. Factor a*b**2 + 2/11*b**3 - 4/11*b + 0.
2*b*(b - 1)*(b + 2)/11
Let q(l) be the first derivative of -4/3*l**3 - 1/5*l**5 + l**4 + 2 + 0*l + 0*l**2. Factor q(n).
-n**2*(n - 2)**2
Solve 5*i**3 + i**3 - 9*i**3 - 9*i**3 + 21*i**4 - 5*i**5 + 2*i**5 - 36*i**2 = 0.
-1, 0, 2, 6
Let d(a) = 5*a**2 + a. Let t be d(-1). Let x(n) be the first derivative of 2*n**5 + 6*n**3 - n**2 + 13/2*n**4 - 4*n + t. Factor x(r).
2*(r + 1)**3*(5*r - 2)
Let l(z) = 2*z**3 + 442*z**2 - 33746*z + 843754. Let w(n) = -n**3 - 444*n**2 + 33747*n - 843753. Let u(k) = 3*l(k) + 4*w(k). Factor u(i).
2*(i - 75)**3
Let s(f) = -8*f**3 - 487*f**2 + 63*f + 125. Let c be s(-61). Factor 6/5*v**c - 16/5 + 26/5*v**2 + 4/5*v.
2*(v + 1)*(v + 4)*(3*v - 2)/5
Let k(b) = -b**3 + 2*b**2 - 2*b + 1. Let f(c) = c**3 - c**2 + c - 1. Suppose 0 = 5*x - 8*l + 6*l + 6, 3*x + l = -8. Let g(h) = x*k(h) - 3*f(h). Factor g(z).
-(z - 1)*(z + 1)**2
What is r in -2*r**2 + 0*r**2 + 2*r**2 - 7*r - 22*r - r**2 = 0?
-29, 0
Let z(n) = -5*n**2 - 178*n. Let m(a) = -5*a**2 - 180*a. Let i(g) = -4*m(g) + 5*z(g). Determine l so that i(l) = 0.
-34, 0
Let s(d) be the first derivative of 2*d**5/5 - 3*d**4 + 32*d**2 - 122. Factor s(q).
2*q*(q - 4)**2*(q + 2)
Let s(p) be the first derivative of -4 - 1/3*p**4 + 0*p**2 + 0*p - 4/3*p**3. Suppose s(r) = 0. What is r?
-3, 0
Suppose -7 = -i - 0*i. Suppose 2*k + z - 14 = -z, -2*k + 11 = -z. Suppose i - 2*x + 9 + x**2 - k*x = 0. What is x?
4
Let o(k) be the third derivative of 3*k**2 + 0 + 0*k**7 - 5/8*k**4 + 2/3*k**5 + 5/336*k**8 - 1/4*k**6 + 0*k + 0*k**3. Solve o(n) = 0 for n.
-3, 0, 1
Let r(g) be the first derivative of -1/6*g - 2 - 1/24*g**4 + 1/18*g**3 + 1/12*g**2. What is h in r(h) = 0?
-1, 1
Let w(d) be the first derivative of 3*d**4/20 + 13*d**3/5 + 21*d**2/2 - 147*d/5 - 192. Let w(b) = 0. What is b?
-7, 1
Let z(g) be the second derivative of -g**5/4 + 55*g**4/12 + 125*g**3/6 + 65*g**2/2 - 50*g. Factor z(v).
-5*(v - 13)*(v + 1)**2
Let c be (-4)/(-7)*(-14)/(-4). Suppose -y + 7 = -2*y + 4*t, -y + t + c = 0. Factor -y*l**3 - 6*l**2 + l + 3*l + 16 - 8 - l**4.
-(l - 1)*(l + 2)**3
Suppose 5*v**3 - 23*v**3 + 5*v**3 + 12*v**2 + 9*v**3 + 40*v**2 = 0. Calculate v.
0, 13
Let m(x) be the first derivative of x**7/6 - x**6/6 - 9*x**5/20 + 5*x**4/12 + x**3/3 + 25*x - 17. Let d(b) be the first derivative of m(b). Factor d(z).
z*(z - 1)**2*(z + 1)*(7*z + 2)
Suppose 3*c + 27 = -0*c + o, -3*o = -2*c - 11. Let k = c + 13. Factor s**k - s + 2*s**3 - 2*s.
3*s*(s - 1)*(s + 1)
Suppose -3*t = -137 - 211. Suppose 0 = 5*q + 36 - t. Solve 7*a**2 - 16 + 5*a**2 + a**2 - 16*a - a**2 + 4*a**4 + q*a**3 = 0.
-2, -1, 1
Let l(a) be the first derivative of 4*a**5/5 - 4*a**4 + 4*a**3/3 + 12*a**2 + 97. Suppose l(p) = 0. Calculate p.
-1, 0, 2, 3
Let y(h) be the second derivative of h**7/294 + h**6/210 - h**5/28 + h**4/28 - 5*h + 28. Solve y(l) = 0 for l.
-3, 0, 1
Let p(q) be the third derivative of -1/300*q**5 + 1/600*q**6 + 1/1050*q**7 + 0*q + 0*q**4 - 1/1680*q**8 + 0*q**3 - q**2 + 0. Factor p(r).
-r**2*(r - 1)**2*(r + 1)/5
Suppose 36/7 + 48/7*x - 15/7*x**2 - 3/7*x**5 - 45/7*x**3 - 3*x**4 = 0. Calculate x.
-3, -2, -1, 1
Let x(s) = s**3 - 3*s**2 - 6*s + 3 + 10*s + 2 - 5*s. Let c(p) = 3*p**2 - 6. Let u(r) = 2*c(r) + 3*x(r). Let u(w) = 0. What is w?
-1, 1
Factor -3*s**2 + 197*s - 75 - 418*s + 191*s.
-3*(s + 5)**2
Determine y so that -21/2*y**2 - 27/2*y - 3 = 0.
-1, -2/7
Let y be 3 + (7 - 3) + -3. Let a = y + -4. Solve a - 4 + 4 - i**2 - i = 0.
-1, 0
Factor -10*r**2 - 3*r**2 - 15*r + 39*r**2 + 10 - 11*r**2 - 10*r**2.
5*(r - 2)*(r - 1)
Let v(p) be the first derivative of 2*p**3 - 1/2*p**4 - 6*p + p**2 + 2. Factor v(d).
-2*(d - 3)*(d - 1)*(d + 1)
Let a be (-3)/(-2)*2 + (-37)/37. Factor -7 - 9*t**3 + 5*t**4 - t**3 + 5*t**a + 7.
5*t**2*(t - 1)**2
Let l(c) be the first derivative of 2*c**3/63 - 16*c**2/7 + 384*c/7 + 7. Let l(n) = 0. Calculate n.
24
Let n(s) be the second derivative of -s**6/10 + 7*s**5/60 + 47*s**4/36 + 37*s**3/18 + s**2 - 277*s. Solve n(j) = 0.
-1, -2/9, 3
Suppose 1/4*m + 1/4*m**5 + 1/2*m**2 - 1/4 - 1/2*m**3 - 1/4*m**4 = 0. Calculate m.
-1, 1
Let x(z) = 4*z - 16. Let w be x(5). Suppose 0 = w*u + 20, -5*u - 33 = -3*l + 1. Find y such that 2/13*y**l + 2/13*y**5 + 0*y + 4/13*y**4 + 0 + 0*y**2 = 0.
-1, 0
Let w = 7881 + -7879. Find u such that -2/9*u + 1/9*u**w + 1/9 = 0.
1
Let f(k) be the second derivative of k**4/30 - 4*k**3/5 + 32*k**2/5 + 64*k. Suppose f(h) = 0. What is h?
4, 8
Let l = 3860 - 15435/4. Factor -7/4*o**3 + 0*o + 0 - 1/4*o**5 + 3/4*o**2 + l*o**4.
-o**2*(o - 3)*(o - 1)**2/4
Let x(i) be the third derivative of i**7/70 - 3*i**6/8 + 83*i**5/20 - 201*i**4/8 + 90*i**3 - 462*i**2. Suppose x(h) = 0. What is h?
3, 4, 5
Let z(x) = -7*x**4 - 33*x**3 - 76*x**2 - 58*x + 2. Let a(q) = -50*q**4 - 230*q**3 - 530*q**2 - 405*q + 15. Let c(j) = -2*a(j) + 15*z(j). Factor c(y).
-5*y*(y + 2)**2*(y + 3)
Let j(c) be the first derivative of c**3/9 + 5*c**2/2 + 50*c/3 - 243. Determine r, given that j(r) = 0.
-10, -5
Let m(l) be the third derivative of l**5/270 - l**4/18 - 7*l**3/27 - 92*l**2. Suppose m(q) = 0. Calculate q.
-1, 7
Let k(f) be the second derivative of -f**5/60 + f**3/6 - 