+ i**5/135 + i**4/72 - 127*i**2. Factor j(d).
d*(d + 1)*(d + 3)/9
Factor 16 - 5*g - g + g**2 - g**2 + 4*g**2 - 10*g.
4*(g - 2)**2
Suppose m = -m - 46. Let q = m - -53/2. Find d such that -7/4*d**5 + 3/4*d - 3*d**4 + d**3 - 1/2 + q*d**2 = 0.
-1, 2/7, 1
Let z be (-2 - 0)/(-1 - 0). Let a = 4/2079 + 2071/4158. Suppose 1/4*v**z + a*v + 0 = 0. Calculate v.
-2, 0
Let a(r) be the second derivative of -2*r**7/105 - r**6/60 - r**5/240 - 3*r**2 + 9*r. Let z(g) be the first derivative of a(g). Factor z(o).
-o**2*(4*o + 1)**2/4
Let h(v) = 4*v**3 + 36*v**2 - 24*v - 65. Let u(j) = -5*j**3 - 37*j**2 + 20*j + 64. Let r(p) = 4*h(p) + 3*u(p). What is q in r(q) = 0?
-34, -1, 2
Let v(s) be the second derivative of -5*s**6/12 - 7*s**5/6 + 7*s**4/3 - 4*s**3/3 - 5*s**2/2 - 24*s. Let w(m) be the first derivative of v(m). Factor w(j).
-2*(j + 2)*(5*j - 2)*(5*j - 1)
Let a(j) = 2*j**5 - 3*j**4 + 5*j**3 - 4*j**2 - 5. Let v(b) = 3*b**5 - 4*b**4 + 7*b**3 - 6*b**2 - 8. Let p(x) = -8*a(x) + 5*v(x). What is s in p(s) = 0?
0, 1, 2
Let n(k) be the second derivative of 0*k**5 + 1/150*k**6 - 18 + 0*k**3 - 1/15*k**4 + k + 0*k**2. Suppose n(c) = 0. Calculate c.
-2, 0, 2
Suppose 0 - 29*p**2 + 1/4*p**3 + 0*p = 0. Calculate p.
0, 116
Let z be ((-28)/(-16) + -3)/((-225)/90). Let b be ((-5)/(-6))/5*3. Factor 0 + c + z*c**2 - b*c**3.
-c*(c - 2)*(c + 1)/2
Let o = 196 - 188. Let t(q) be the first derivative of o*q**4 - 16/5*q**5 + 4 - 5*q**3 + q - q**2. What is f in t(f) = 0?
-1/4, 1/4, 1
Let h(a) be the second derivative of a**5 + 11*a**4 + 24*a**3 - 40*a**2 + 3*a - 71. Find y such that h(y) = 0.
-5, -2, 2/5
Let l(f) = f**3 - 4*f**2 - 4*f + 4. Let c be l(5). Let g = c + -7. Suppose -2*j**3 - 5*j**2 + 2*j**4 + 4*j**4 + 2*j + j**4 - g*j**4 = 0. What is j?
-1, 0, 2/5, 1
Let o(v) be the third derivative of -v**6/420 - 11*v**5/105 - 121*v**4/84 + 2*v**2 + 5*v. Factor o(p).
-2*p*(p + 11)**2/7
Let a(u) = u**3 - 38*u**2 - 86*u + 2. Let v(q) = 6*q**3 - 267*q**2 - 603*q + 15. Let s(g) = 15*a(g) - 2*v(g). Find t, given that s(t) = 0.
-2, 0, 14
Let s = -4262 + 8527/2. Suppose 1 - s*p + 1/2*p**2 = 0. What is p?
1, 2
Let v(z) = -2*z**3 + 44*z**2 + 88*z + 48. Let g(w) = 4*w**3 - 90*w**2 - 177*w - 98. Let o(x) = -2*g(x) - 5*v(x). Factor o(c).
2*(c - 22)*(c + 1)**2
Suppose 4 - 4 = -20*i. Let x(q) be the second derivative of i*q**2 + 1/315*q**7 + 0*q**6 + 0*q**3 - 8*q + 0*q**4 + 0 + 0*q**5. Factor x(z).
2*z**5/15
Let f(i) = -i**2 - 4*i + 1. Let p be f(-4). Let j = 4 - p. Suppose -20*z**2 + 2*z + 3*z**5 + z + 14*z**2 + 3*z**4 + j - 6*z**3 = 0. What is z?
-1, 1
Let l(b) = -2*b**2 + 42*b - 37. Let z be l(20). Let k(a) be the first derivative of 1/10*a**2 - 1/15*a**z + 0*a - 3. Solve k(j) = 0.
0, 1
Let j(m) = -3*m**2 + 6*m + 9. Suppose 6*h - 6 = -12. Let r(x) = -x**2. Let c(l) = h*j(l) + 4*r(l). Factor c(s).
-(s + 3)**2
Let k(f) be the first derivative of 4*f**5/25 - f**4 + 12*f**3/5 - 14*f**2/5 + 8*f/5 - 93. Factor k(t).
4*(t - 2)*(t - 1)**3/5
Let v(q) = 4*q**2 + 29*q - 30. Let l(s) = s**2 + s - 1. Let x(k) = 3*l(k) - v(k). Find r, given that x(r) = 0.
-27, 1
Let v be 50/(-15)*(-18)/30. Determine t so that -v*t + 2/3*t**2 + 4/3 = 0.
1, 2
Let r(m) be the first derivative of m**7/315 - m**6/180 - m**5/90 + m**4/36 + 5*m**2 + 1. Let f(x) be the second derivative of r(x). Factor f(y).
2*y*(y - 1)**2*(y + 1)/3
Let a be (-10 - -17) + -6 + (-1)/(-1). Solve 0 + 4/3*q**a - 10/3*q**3 + 0*q = 0 for q.
0, 2/5
Suppose -g + 14 - 5 = -3*j, 3*g + 2*j - 27 = 0. Suppose l + 4*l - 60 = 0. Determine r so that g*r**2 + 4*r - 7*r - l - 3*r**3 + 3*r = 0.
-1, 2
Factor -16 + 15*d**3 - 5*d**2 - 73*d - 5*d**2 + 5*d**4 + 13*d - 24.
5*(d - 2)*(d + 1)*(d + 2)**2
Let q(a) = a**3 + 1. Let l(v) = v**2 + 4*v - 3. Let t(r) = -l(r) + q(r). What is i in t(i) = 0?
-2, 1, 2
Let m(l) be the second derivative of l**10/6048 + l**9/756 + 5*l**8/1344 + l**7/252 + l**4/2 - 16*l. Let t(w) be the third derivative of m(w). Factor t(g).
5*g**2*(g + 1)**2*(g + 2)
Let s(j) = 28*j**4 - 108*j**3 + 200*j**2 - 16*j + 16. Let d(p) = -9*p**4 + 36*p**3 - 67*p**2 + 5*p - 5. Let t(a) = 16*d(a) + 5*s(a). Let t(o) = 0. Calculate o.
0, 3, 6
Let t = -9753 + 29261/3. Factor 8/9 + t*y - 2/9*y**2.
-2*(y - 4)*(y + 1)/9
Let a(x) = x**3 + 32*x**2 + 32*x + 33. Let f be a(-31). Let c be 91/105 - (5/3 - f). Find q, given that 6/5*q**3 - c*q + 3/5 + 0*q**2 - 3/5*q**4 = 0.
-1, 1
Let d(i) = -52*i**3 - 38*i**2 + 8*i - 6. Let h(m) be the first derivative of 0*m**2 - m - 10 + 1/3*m**3. Let w(u) = -d(u) + 6*h(u). Find p, given that w(p) = 0.
-1, 0, 2/13
Let i(z) be the first derivative of z**3/6 - 43*z**2/4 + 60*z - 296. Factor i(m).
(m - 40)*(m - 3)/2
Let g(k) = -k**3 + 6*k**2 + 17*k - 31. Let h be g(8). Let a(o) = 7*o + 163. Let m be a(h). Factor 2/3*u**m - 8/3*u + 2.
2*(u - 3)*(u - 1)/3
Let d(k) be the second derivative of 0*k**2 - 1/3*k**4 - 3/10*k**5 + 0 + 1/6*k**6 - 1/42*k**7 - 18*k + 4/3*k**3. Factor d(f).
-f*(f - 2)**3*(f + 1)
Let m(z) be the second derivative of -z**4/96 + z**3/24 - z**2/16 - 289*z. Factor m(s).
-(s - 1)**2/8
Let t(f) = 2*f**5 - f**3 - f**2 - f + 1. Let i(w) = w**5 - w**2 - w + 1. Let l be 3/(36/4)*-12. Let g = 3 + l. Let o(r) = g*t(r) + i(r). Factor o(a).
-a**3*(a - 1)*(a + 1)
Let x be (7/(-2))/((-7)/28). Factor 10*p**2 - 8*p + 4*p**3 + x*p + 4*p**2.
2*p*(p + 3)*(2*p + 1)
Let b(j) be the third derivative of j**8/336 - 4*j**7/105 - 7*j**6/120 + 43*j**5/30 + 13*j**4/2 + 12*j**3 + 236*j**2. Factor b(f).
(f - 6)**2*(f + 1)**2*(f + 2)
Suppose -w - 3*r + 14 = 0, 2*w - 5*r = w - 18. Let j(v) be the third derivative of 1/36*v**4 + 0 - 1/270*v**5 + w*v**2 + 0*v - 2/27*v**3. Factor j(f).
-2*(f - 2)*(f - 1)/9
Let y = 223/6 + -863/30. Suppose 18/5*x**5 - 4/5*x**3 + 8*x**2 - 16/5*x + 0 - y*x**4 = 0. Calculate x.
-1, 0, 2/3, 2
Let x be 2 + 7357/(-28) - (-3)/4. Let z = x - -787/3. Factor 2/3 + z*y**5 + 14/3*y**2 + 4/3*y**3 - 11/3*y - 16/3*y**4.
(y - 1)**3*(y + 1)*(7*y - 2)/3
Let g = -20059 - -60185/3. Let g - 1/3*b**3 - 2/3*b**2 + 4/3*b = 0. Calculate b.
-2, 2
Let n(p) be the second derivative of -6*p + 0 + 4/15*p**4 - 16/5*p**2 - 1/75*p**6 - 16/15*p**3 - 1/105*p**7 + 4/25*p**5. Suppose n(t) = 0. Calculate t.
-2, -1, 2
Suppose 2*j = 2*u, u - 3*j = 5*u - 21. Factor -3*s**3 - 4*s**4 - 3*s**u + s**3 - 3*s**3.
-4*s**3*(s + 2)
Let z be 208/3432 - 982/(-132). Find w, given that z*w**2 + 9/2*w**3 - 6*w - 6 = 0.
-2, -2/3, 1
Let s(f) be the first derivative of -f**8/11760 + f**7/2940 - f**6/2520 + 7*f**3 - 13. Let d(j) be the third derivative of s(j). Factor d(k).
-k**2*(k - 1)**2/7
Suppose 0 = 2*b - 2 + 10, b = -p + 1. Suppose 3*c + 2*c - 10 = 0. Factor -a**2 + 4*a**2 - p*a**c + 0*a - 2*a.
-2*a*(a + 1)
Let x(j) be the first derivative of -4/15*j**3 + 12/5*j**2 - 32/5*j + 31. Factor x(p).
-4*(p - 4)*(p - 2)/5
Let s(k) be the first derivative of -2/21*k**3 + 0*k - 2/7*k**2 + 7. Let s(u) = 0. Calculate u.
-2, 0
Let w(g) be the first derivative of -g**5 - 15*g**4/2 + 5*g**3 + 140*g**2 + 240*g + 11. Factor w(l).
-5*(l - 3)*(l + 1)*(l + 4)**2
Let b(z) = -z**2 + 5*z - 4. Let t be b(3). Suppose 0 = -t*r - 5 + 9. Factor 2*k**3 + 6*k**r - 2*k**2 - 2*k**2.
2*k**2*(k + 1)
Let y(x) = 2*x**5 + 5*x**4 - 3*x**3 - 13*x**2 + 5*x + 15. Let n(a) = a**5 - a + 1. Let q(s) = 3*n(s) - y(s). Factor q(o).
(o - 3)*(o - 2)**2*(o + 1)**2
Let n be (-8)/(-56) - (165/(-21) - (-12)/4). Factor -a + 0 + 3/4*a**3 - a**2 + 1/2*a**4 - 1/4*a**n.
-a*(a - 2)**2*(a + 1)**2/4
Let c be -10 - (7 + -24) - 7. Factor 1/5*w**2 + 1/5*w + c.
w*(w + 1)/5
Suppose 5*g - q + 40 = 0, -q - 4 + 9 = 0. Let j(f) = -f**2 - 6*f + 9. Let a be j(g). Factor -1/4*r**a + 0 - 1/4*r.
-r*(r + 1)/4
Let z(p) be the second derivative of p**6/10 - 3*p**5/20 - 53*p + 2. Suppose z(w) = 0. Calculate w.
0, 1
Let z(c) be the first derivative of 5*c**4/12 - 5*c**3/3 + 16*c + 11. Let p(g) be the first derivative of z(g). Suppose p(o) = 0. What is o?
0, 2
Suppose 0 = -4*l + 2*p + 24, 5*p - 3 = -2*l - 15. Suppose -81*h = -16*h + 91*h + 51*h. Let h + 0*q - 11/9*q**3 + 2/9*q**2 + 5/3*q**l = 0. Calculate q.
0, 1/3, 2/5
Let -14/3 - 10/3*r**2 + 2/3*r**3 - 26/3*r = 0. What is r?
-1, 7
Let w be (28/252)/((-3)/72*-2). Factor 4/3*g - w*g**2 + 8/3.
-4*(g - 2)*(g + 1)/3
Let o(t) = 4*t - 6*t - 4*t**2 + 7 + 2*t**3 - 3. Let j(p) = p**3 - 3*p**2 - p + 3. Suppose -6*v + 28 = -