6*n + 5*n - g*n = 0.
-1, 1, 2
Let k = 19/287 + 78849/1148. Let l = -3567/52 + k. Factor l*i**2 + 0*i + 0.
2*i**2/13
Factor 2/3*x**2 + 88/3 - 16*x.
2*(x - 22)*(x - 2)/3
Solve 0*p + 0 + 0*p**2 - 2/9*p**5 - 8/9*p**3 - 8/9*p**4 = 0.
-2, 0
Factor -372*y - 412 + 2334 - 122*y**2 - 2*y**3 - 1426*y.
-2*(y - 1)*(y + 31)**2
Let x(k) be the third derivative of k**5/210 - 5*k**4/21 - k**3 - 15*k**2 + 4*k. Factor x(y).
2*(y - 21)*(y + 1)/7
Let k be 2 + (2 - 2*5). Let t(w) = 1 - 4*w - 6*w**2 + 11*w + 2*w**3 + 25 - 11. Let u(a) = -2*a**3 + 6*a**2 - 6*a - 14. Let o(p) = k*t(p) - 7*u(p). Factor o(z).
2*(z - 2)**2*(z + 1)
Let b be ((-69)/(-18) - 4)/(-6*1/12). Determine s so that -4/3 - 1/3*s**3 + 4/3*s + b*s**2 = 0.
-2, 1, 2
Let u = 91 - 636/7. Let o(h) be the first derivative of -15/14*h**2 - u*h**3 + 11 - 12/7*h. Suppose o(f) = 0. What is f?
-4, -1
Let x(p) be the first derivative of -p**6/2 + 18*p**5/5 - 39*p**4/4 + 12*p**3 - 6*p**2 + 14. Factor x(m).
-3*m*(m - 2)**2*(m - 1)**2
Suppose 3*c = -4 + 10. Suppose -3*q + 2*q + 2 = -4*b, 0 = q - 3*b - c. Factor -2*d - 9 + d**3 + q*d**2 - 4*d + 2*d + 1.
(d - 2)*(d + 2)**2
Let y(d) be the first derivative of 2*d**5/55 + 3*d**4/11 - 10*d**3/11 + 8*d**2/11 + 45. Suppose y(p) = 0. Calculate p.
-8, 0, 1
Let u = -32 - -38. Suppose -u = -4*i + 2. Determine m so that -6/5*m**4 - 6/5*m**3 - 2/5*m**i - 2/5*m**5 + 0 + 0*m = 0.
-1, 0
Let t be 6/10 - 180/(-75). Let y(u) be the second derivative of 1/54*u**4 + 0*u**2 + 1/9*u**3 + t*u + 0. Factor y(n).
2*n*(n + 3)/9
Let a be 23 + (-15)/5 - 4. Factor t**2 - 3*t**3 + t**2 - 11*t**3 + a*t**3.
2*t**2*(t + 1)
Let y(u) be the first derivative of -u**4/4 + 20*u**3 - 837*u**2/2 - 1922*u - 125. Factor y(l).
-(l - 31)**2*(l + 2)
Let t(z) be the first derivative of 0*z + 29 + 4/3*z**3 + 2*z**2. Factor t(l).
4*l*(l + 1)
Factor 18*r**2 + 14*r - 12*r + 122*r**2 + 170*r**2 - 7*r.
5*r*(62*r - 1)
Factor 4/9*b - 2/3*b**2 + 0*b**3 + 2/9*b**4 + 0.
2*b*(b - 1)**2*(b + 2)/9
Let c(r) = r**2 + 6*r + 11. Let y be c(-5). Suppose -2*n - 2*v = -12, -v = n + 2*v - y. Solve -7*d**2 + n*d**3 + 12*d**2 - 2*d**3 - 16 + 7*d**2 = 0 for d.
-2, 1
Let l = -952 + 956. Factor 0*z - 2/17*z**3 + 0*z**2 + 0 + 8/17*z**l.
2*z**3*(4*z - 1)/17
Let x(z) be the first derivative of -4*z**3/3 + 4*z**2 + 32*z + 54. Let x(a) = 0. What is a?
-2, 4
Suppose -5*p + 3*p = -6. Let y(f) = f**3 - 12*f**2 - 17*f - 9. Let i(h) = h**3 - 6*h**2 - 9*h - 5. Let o(j) = p*y(j) - 5*i(j). Factor o(d).
-2*(d + 1)**3
Let -16/9*a**2 - 2/9*a**4 + 10/9*a**3 + 0 + 8/9*a = 0. Calculate a.
0, 1, 2
Let t(l) be the third derivative of l**6/480 - 17*l**5/240 + 7*l**4/48 + 4*l**3/3 + 357*l**2. Find p such that t(p) = 0.
-1, 2, 16
Let u(k) = 8*k**2 - 47*k + 122. Let z(d) = -4*d + 1. Let r be z(1). Let t(y) = 15*y**2 - 95*y + 245. Let x(l) = r*t(l) + 5*u(l). Suppose x(q) = 0. Calculate q.
5
Let b(f) be the first derivative of 3/16*f**4 + 0*f + 1/4*f**2 - 5/12*f**3 + 9. What is r in b(r) = 0?
0, 2/3, 1
Let x(f) = 36*f**2 - 51*f + 21. Let n(v) = 7*v**2 - 10*v + 4. Let s(z) = -21*n(z) + 4*x(z). Suppose s(l) = 0. What is l?
0, 2
Let p = -218 + 1964/9. Let h(j) = j - 26. Let q be h(26). Factor 2/9*a**2 + p*a**3 + q*a + 0.
2*a**2*(a + 1)/9
Factor 42637*y + 9680*y**2 - 160*y**3 - 80*y**2 - 298637*y + 2560000 + y**4.
(y - 40)**4
Factor 2/9*n**2 + 10/9 - 4/3*n.
2*(n - 5)*(n - 1)/9
Solve -4*j**2 + 3*j**5 - j**3 + 2*j**5 + 4*j**4 - 7*j**4 - 11*j**3 = 0.
-1, -2/5, 0, 2
Let w be 38/(-14) + 5 + (-4)/14. Factor 2*i**w + 4*i + i**2 + i - 2*i**2.
i*(i + 5)
Let o = 21 + -24. Let k(w) = -6*w**2 + 6*w. Let y(z) = 7*z**2 - 7*z. Let d(i) = o*k(i) - 2*y(i). Let d(n) = 0. Calculate n.
0, 1
Let -101/3*o + 21*o**2 + 14 - 4/3*o**3 = 0. What is o?
3/4, 1, 14
Let c(d) = -12*d**3 + 24*d**2 - 32*d + 20. Let x(f) = -3*f**3 + 433*f**2 + f - 434*f**2 + 4*f**3 - 1. Let i(l) = c(l) + 10*x(l). Factor i(r).
-2*(r - 5)*(r - 1)**2
Let w(m) be the first derivative of 4*m - 2/3*m**3 - 3/2*m**4 - 2/5*m**5 + 3*m**2 + 13. Find z, given that w(z) = 0.
-2, -1, 1
Let r(t) be the second derivative of t**4/60 + 71*t**3/15 + 5041*t**2/10 + 219*t. Factor r(x).
(x + 71)**2/5
Let r(t) be the third derivative of 4*t**2 + 0*t**3 + 1/24*t**6 - 1/6*t**5 + 0*t**4 + 0 + 0*t. What is p in r(p) = 0?
0, 2
Suppose a + 2*a = 0. Suppose -546*q = -629*q + 249. Find v, given that -22/15*v**2 - 32/15*v**q - 14/15*v**4 + a - 4/15*v = 0.
-1, -2/7, 0
Factor -2*c**2 - 1/2*c**3 + 0 + 6*c.
-c*(c - 2)*(c + 6)/2
Let v be (-4)/(2/(-2)) + (5 - (-7 + -74)). Factor 0*n + 0 + v*n**3 + 20*n**2 + 165/4*n**4 + 5*n**5.
5*n**2*(n + 4)**2*(4*n + 1)/4
Factor -4/3*b**2 - 4/3*b + 0.
-4*b*(b + 1)/3
Let j = 72581/9 - 8064. Factor 0 - 1/9*f**2 + j*f.
-f*(f - 5)/9
Factor -4/3*u**2 - 2/9*u**3 - 22/9*u - 4/3.
-2*(u + 1)*(u + 2)*(u + 3)/9
Let g(j) be the first derivative of j**6/4 - 13*j**5/10 + 2*j**4 - 2*j**3/3 - 99. Suppose g(s) = 0. What is s?
0, 1/3, 2
Let b(n) be the first derivative of 7*n**5/100 - 3*n**4/20 - 2*n**3/5 + 2*n**2/5 - 4*n + 35. Let o(u) be the first derivative of b(u). Factor o(w).
(w - 2)*(w + 1)*(7*w - 2)/5
Determine s so that 6*s - 1/6*s**2 + 37/6 = 0.
-1, 37
Let g be (2 - (6 + -9)) + -2. Let m be 17/7 - ((-4)/7 - -1). Factor 2/9*a**m + 0 + 0*a + 2/9*a**g.
2*a**2*(a + 1)/9
Let k(u) be the third derivative of u**5/12 + 25*u**4/8 - 40*u**3/3 + 135*u**2. Factor k(h).
5*(h - 1)*(h + 16)
Let h(t) be the second derivative of -t**6/120 + t**5/10 - t**4/2 - 3*t**3 - 12*t. Let c(k) be the second derivative of h(k). Suppose c(p) = 0. Calculate p.
2
Let f(h) be the third derivative of -1/210*h**7 + 1/24*h**6 + 1/6*h**4 + 0*h**3 - 2/15*h**5 + 0 + 5*h**2 + 0*h. Factor f(y).
-y*(y - 2)**2*(y - 1)
Let q(r) = -5*r**2 + 10*r - 12. Let h(m) = -11*m + 23*m - 190 + 154 - 16*m**2 + 17*m. Let f(k) = -2*h(k) + 7*q(k). Suppose f(g) = 0. What is g?
2
Let y(d) = d**3 + d**2 - 3*d - 1. Let c be y(3). Suppose 4*n - 2*t = 2*t + 24, -3*n + c = t. Let -3*o + 10*o**3 + 2*o - n*o**3 + 0*o**5 - o**5 = 0. Calculate o.
-1, 0, 1
Factor -145/2*n + 36 - 1/2*n**3 + 37*n**2.
-(n - 72)*(n - 1)**2/2
Suppose 0 + 3*i**3 + 0*i - 3/4*i**4 + 0*i**2 = 0. Calculate i.
0, 4
Suppose -3*h + 8 = -s, -4*s - 4 = 4. Suppose 5*u - 3*k = -2, 4 = 5*u - h*k + 2. Factor 10*o**u + 0 - 9/2*o**3 - 2*o.
-o*(o - 2)*(9*o - 2)/2
Suppose 6 - 2 = 2*s. Let 10*d**2 - 4*d - 14*d**s + 6 + 2 = 0. What is d?
-2, 1
Let c be (-205)/(-25) + 232/(-60) + 4. Determine y so that c + 1/3*y**2 + 10/3*y = 0.
-5
Let n = 203 + -199. Find v such that 1 - 9/4*v**3 + 21/4*v**2 - n*v = 0.
2/3, 1
Find r such that -61/5*r**2 - 36/5 - 14/5*r**3 - 1/5*r**4 - 84/5*r = 0.
-6, -1
Suppose 16 + 14 = 15*p. Suppose -p*o - 5*t - 5 = 0, -o - 3*t + 0*t - 3 = 0. Let 0 + 2/5*x**2 + o*x = 0. Calculate x.
0
Let r = 17 + -17. Let r*a**3 - 7*a**5 + 11*a**2 + 20*a**3 + 2*a**5 - a**2 - 10 - 15*a = 0. What is a?
-1, 1, 2
Suppose t + 11 = 24. Let o be t - ((-1)/(-4))/((-1)/(-4)). Factor 3/2*i**5 + 57*i**2 + 75/2*i**3 + 42*i + o + 12*i**4.
3*(i + 1)**2*(i + 2)**3/2
Let s(n) = 2*n**3 - n**2 - 2*n. Let t be s(2). Let z(i) = i**3 - 9*i**2 + 8*i + 3. Let d be z(t). Solve -d + 0*q - 6*q - 4 - 2 - q**2 = 0.
-3
Solve 423*p**2 - 8*p**3 + 5*p**3 + 311469 - 23972*p + 4091*p = 0.
47
Let d = -6166 - -49329/8. Let y = -83/8 - -21/2. Factor 0 + d*u**4 + 3/8*u**3 + 3/8*u**2 + y*u.
u*(u + 1)**3/8
Factor -55*b - 11*b - 120 + 134*b + 56*b**2 - 7*b**3 + 3*b**3.
-4*(b - 15)*(b - 1)*(b + 2)
Let n be (-44)/(-360) - (-58)/580. Factor 2/3*q**2 - 2/9*q**3 + n - 2/3*q.
-2*(q - 1)**3/9
Let o be 5*2 - (-24 - 7728/(-231)). Factor 8/11 + 8/11*i - o*i**2.
-2*(i - 2)*(3*i + 2)/11
Let n(z) = 7*z**2 - 2*z - 4. Let t(s) = -16*s**2 + 5*s + 7. Let o(r) = -7*n(r) - 4*t(r). Factor o(a).
3*a*(5*a - 2)
Suppose 0 = 44*s - 39*s - 78*s. Determine m so that 0*m + s*m**2 + 8/7*m**3 - 4/7*m**5 + 4/7*m**4 + 0 = 0.
-1, 0, 2
Let u(t) = -t**3 + 6*t**2 + 16*t + 5. Let v be u(8). Suppose -m - 8 = -v*m. Suppose -p - 2/5 + 1/5*p**3 + 1/5*p**4 - 3/5*p**m = 0. Calculate p.
-1, 2
Suppose -8*k + 102 + 290 = 0. Let i be k*(-1)/(-9) + 5/(-1). Let 0 - 2/9*v**2 - i*v = 0. What is v?
-2, 0
Determine x so that 21/5*x**2 + 7/5*x**4 - 20*x**3 + 20*x - 28/5 = 0.
-1, 2/7, 1, 14
Let u(c) = -c + 2. Let x(h) = h - 1. Let a(b) = -u(b) - 2*x(b). Let j be a(-4). Factor -3*g**2 + 2*g**2 + 1 + 3*g + 0*g**3 + j*g**2 + g**3.
