1/5*l**5 + 0 = 0?
0, 1
Let s be (-2112)/(-42) + -5 + (-4)/14. Let l(y) = -100*y**2 - 165*y + 220. Let o(f) = 9*f**2 + 15*f - 20. Let h(r) = s*o(r) + 4*l(r). Let h(a) = 0. Calculate a.
-4, 1
Let i(y) = y**3 - y. Let m(h) = 5*h**3 + 2*h**2 - 3*h. Let z be (3 + 1)/(0/6 + 1). Let k(w) = z*i(w) - m(w). Factor k(d).
-d*(d + 1)**2
Let t(f) be the third derivative of -f**6/24 - 139*f**5/4 - 96605*f**4/8 - 13428095*f**3/6 + 4*f**2 - 4*f. Factor t(d).
-5*(d + 139)**3
Suppose -6*r + 224 = -10*r. Let l be (36/(-98))/(8/r). Determine y so that 8/7*y**5 - l*y**4 + 12/7*y**3 - 2/7*y**2 + 0 + 0*y = 0.
0, 1/4, 1
Find t, given that -7/2*t**2 + 1/2*t**4 - 1/2*t**3 + 3 + 1/2*t = 0.
-2, -1, 1, 3
Let j(p) = p**3 - 7*p**2 - 8*p + 2. Let t be j(8). Let a be t*(-4)/32 + (-77)/(-84). Factor a*x**4 - 4/3*x + 0 + 10/3*x**2 - 8/3*x**3.
2*x*(x - 2)*(x - 1)**2/3
Let l = 20 - 10. Let o = l + -8. Factor 2*b - b - 2*b**3 + o*b**2 + b**3 - 2*b.
-b*(b - 1)**2
Suppose b + 4 = -5*z, 2*b - b - 2*z - 10 = 0. Let s be (-6 - -6)*(-2)/b. Factor 1/4*l**4 + 0 + 1/4*l**3 + 0*l + s*l**2.
l**3*(l + 1)/4
Let z(k) be the second derivative of -2*k**7/105 + 3*k**6/25 + 19*k**5/50 - k**4/10 - 17*k**3/15 - 6*k**2/5 + 3*k + 1. Determine o so that z(o) = 0.
-1, -1/2, 1, 6
Factor -440 + 2*n**3 + 217*n**2 + 5787*n - 8635 + 821*n - 888*n.
(n + 55)**2*(2*n - 3)
Let v(c) be the third derivative of -c**7/2205 - c**6/420 + c**5/42 - 17*c**4/252 + 2*c**3/21 + 2*c**2 + 38*c. Solve v(l) = 0 for l.
-6, 1
Let q(g) be the third derivative of 0 + 1/7*g**3 + 1/420*g**6 + g**2 - 2*g + 1/12*g**4 + 1/42*g**5. Factor q(u).
2*(u + 1)**2*(u + 3)/7
Suppose 0*o + 6*o - 18 = 0. Suppose -o*u = u - 16. Suppose 0*c**3 + 4*c - u*c**2 + 3*c**2 + 7 - 3 - c**3 = 0. What is c?
-2, -1, 2
Let t(g) = g + 8. Let b be t(8). Suppose 4*h + 0*h - b = 0. Let -3*l + 5*l**2 - 3*l**h + l**5 + 3*l**2 - 4*l**5 + 6*l**3 - 3 - 2*l**2 = 0. Calculate l.
-1, 1
Let h be (-1*(-4)/8)/((-40)/(-10)). Suppose -y = -i + 1 + 1, 5*y - 4 = -2*i. Factor y + 9/8*b + h*b**3 - 3/4*b**2.
b*(b - 3)**2/8
Suppose -8 = -41*c + 39*c. Solve 10*d**2 - 20*d**3 + 38*d**c + 62*d**4 - 1 - 85*d**4 - 4*d**5 = 0.
-1/4, 1
Suppose -2*y = i + 5, -3*y + 4*y + 15 = 2*i. Let x(q) be the first derivative of -4/3*q**3 + 0*q**2 + 1/2*q**4 + 0*q - 3 + 2/5*q**i. Solve x(p) = 0 for p.
-2, 0, 1
Let x be 2/(-8) + 315/(-36). Let d be (-240)/x - (-1)/3. Factor -6*l**3 + 15*l**3 + 25*l - 51*l**2 + 38*l + d.
3*(l - 3)**2*(3*l + 1)
Let w(a) be the first derivative of 21*a**4/4 - 5*a**3/3 + 3*a**2 - 6*a - 7. Let i(d) = 20*d**3 - 5*d**2 + 5*d - 5. Let z(o) = -6*i(o) + 5*w(o). Factor z(v).
-5*v**2*(3*v - 1)
Let o be (3/(-27))/(-4 - 3858/(-963)). Let x = -35/2 - o. Solve 5/3*r**4 + 10/3*r**3 + 1/3 + 10/3*r**2 + 5/3*r + x*r**5 = 0 for r.
-1
Let v(j) be the third derivative of 2*j**7/315 + j**6/15 + j**5/5 + j**2 + 2. Determine w so that v(w) = 0.
-3, 0
Let p(g) be the second derivative of 2*g**7/21 + 2*g**6/5 - g**5/5 - g**4 - 79*g. Factor p(z).
4*z**2*(z - 1)*(z + 1)*(z + 3)
Let m(h) be the third derivative of 7*h**8/576 - h**7/36 + h**6/36 - h**5/5 - 26*h**2. Let b(r) be the third derivative of m(r). Find w such that b(w) = 0.
2/7
Let g be (-4)/6*138/(-4). Suppose -11 = 3*q + 1, 5*j - 2*q - g = 0. Suppose 0 + 1/6*o + 1/3*o**2 + 1/6*o**j = 0. Calculate o.
-1, 0
Let x(w) = w + 8. Let h be x(-8). Suppose 10*i - 18 + 18 = h. Solve i*r - 4/3*r**2 - 2/3*r**3 + 2/3*r**5 + r**4 + 1/3 = 0 for r.
-1, 1/2, 1
Factor 135*q**4 + 5040*q**2 - 1286*q**3 + 720 - 1625*q**3 - 3280*q + 211*q**3.
5*(q - 18)*(3*q - 2)**3
Let a(t) be the third derivative of t**7/420 + t**6/15 + 23*t**5/60 - 3*t**4 + 27*t**3/4 - 150*t**2. What is m in a(m) = 0?
-9, 1
Factor -1501 - 5*y**2 + 2*y**2 - 3*y**2 + 1437 + 2*y**2 + 68*y.
-4*(y - 16)*(y - 1)
Factor 2/9*n**2 - 4/3 - 2/9*n.
2*(n - 3)*(n + 2)/9
Let v(g) be the second derivative of 0*g**4 + g**3 + 1/2520*g**6 + 0*g**2 + 0 - 4*g + 1/840*g**5. Let m(a) be the second derivative of v(a). Factor m(j).
j*(j + 1)/7
Let b = 20 - 12. Suppose 0 = -w - w + 16. Suppose -w*g**2 + 2 - b*g**3 - 2*g + 2 + 0*g + 14*g**3 = 0. Calculate g.
-2/3, 1
Let n be 7 + 171/(-38) - (-1)/(-2). Determine s so that 2/7*s**n + 0 + 6/7*s = 0.
-3, 0
Let u(m) be the first derivative of m**5/150 - 2*m**4/45 + 4*m**3/45 + 14*m - 29. Let f(o) be the first derivative of u(o). Factor f(k).
2*k*(k - 2)**2/15
Let z(d) be the second derivative of 35*d - 9/100*d**5 - 66/5*d**3 + 0 + 108/5*d**2 + 19/10*d**4. Factor z(l).
-3*(l - 6)**2*(3*l - 2)/5
Let k be 84/9 - (-162)/(-18). Let l(f) be the second derivative of -9*f - f**3 + k*f**4 + 1/10*f**5 + 0*f**2 + 0. Factor l(n).
2*n*(n - 1)*(n + 3)
Factor -2/3*j**2 - 8/3*j - 2.
-2*(j + 1)*(j + 3)/3
Let o = -13 + 20. Let h = o - 0. Let -h*b**3 + 9*b**3 - 4*b**2 - 2*b + 4*b = 0. What is b?
0, 1
Factor -215*j - 10*j**2 - 13*j**2 - 57*j**2 - 5*j**3 + 0*j**3 - 105*j.
-5*j*(j + 8)**2
Let v = 43 - 41. Factor 4 + 4 + 16*a + 8*a**v - 36*a.
4*(a - 2)*(2*a - 1)
Let z be 3/(-6)*180/1719. Let p = 1638/2101 + z. Let -p*t - 8/11 - 2/11*t**2 = 0. Calculate t.
-2
Let f = -511 - -511. Let d(b) be the first derivative of 4/9*b**3 - 4/15*b**5 - 1 + 0*b**4 - 1/9*b**6 + 1/3*b**2 + f*b. Solve d(h) = 0.
-1, 0, 1
Solve -19/2*h - 1/2*h**3 - 4*h**2 - 6 = 0 for h.
-4, -3, -1
Suppose 432/13*c**2 - 1984/13*c - 20/13*c**3 - 2/13*c**4 + 2816/13 = 0. What is c?
-22, 4
Let a(y) be the third derivative of y**5/210 - 5*y**4/28 + 26*y**3/21 + 66*y**2. Determine i so that a(i) = 0.
2, 13
Let x(f) be the third derivative of f**5/540 - 5*f**4/216 + 2*f**3/27 + 14*f**2 + 1. Determine c so that x(c) = 0.
1, 4
Let v(n) be the first derivative of n**5/20 - 13*n**4/8 + 6*n**3 - 35*n**2/4 + 23*n/4 + 254. Find a such that v(a) = 0.
1, 23
Let y = -1416/7 - -15590/77. Let 4/11 + y*l**2 - 6/11*l = 0. What is l?
1, 2
Let o(m) be the second derivative of m**7/84 - m**6/60 - m**5/8 + m**4/24 + 2*m**3/3 + m**2 + 52*m. Factor o(c).
(c - 2)**2*(c + 1)**3/2
Let g(r) be the first derivative of r**3/12 - 55*r**2/8 + 27*r/2 + 448. Let g(t) = 0. What is t?
1, 54
Let f(y) = 4*y**2 + 1832*y + 209776. Let g(p) = 8*p**2 + 3664*p + 419555. Let z(n) = 9*f(n) - 4*g(n). Factor z(m).
4*(m + 229)**2
Let d(z) = 9*z**3 - 6*z**2 + 15*z + 6. Let x(y) = 3*y + 17*y**3 + 11*y - 13*y**2 + 11 + 15*y. Let n(s) = -11*d(s) + 6*x(s). What is q in n(q) = 0?
0, 1, 3
Factor -186*f**3 + 23*f**5 - 44*f**4 - 21*f**5 - 140*f**4.
2*f**3*(f - 93)*(f + 1)
Let -65/9 + 64/9*n + 1/9*n**2 = 0. Calculate n.
-65, 1
Let o(q) be the second derivative of -q**4/48 - 19*q**3/24 - 17*q**2/4 + 260*q. Determine j so that o(j) = 0.
-17, -2
Let r(l) be the first derivative of 0*l - 1/10*l**5 + 0*l**3 + 6 + 7/2*l**2 - 1/8*l**4 - 1/40*l**6. Let a(h) be the second derivative of r(h). Factor a(z).
-3*z*(z + 1)**2
Let h(p) = p**5 + 6*p**4 - 12*p**3 - 2*p**2 + 3*p. Let w(l) = l**4 - l**3 + l**2 + l. Let a(f) = -h(f) + 6*w(f). Find t, given that a(t) = 0.
-1, 0, 3
Let z(p) be the first derivative of 4*p**5/25 - 8*p**3/15 + 4*p/5 + 53. What is h in z(h) = 0?
-1, 1
Factor -2*i**3 + 0*i + 0*i**2 - 1/3*i**5 + 7/3*i**4 + 0.
-i**3*(i - 6)*(i - 1)/3
Let y(w) be the third derivative of -52/15*w**7 + 200/3*w**3 + 0*w + 29*w**2 + 1279/15*w**5 + 0 - 5/12*w**6 - 7/24*w**8 - 355/3*w**4. Solve y(n) = 0 for n.
-5, 2/7, 2
Let x(v) be the second derivative of v**4/16 + v**3 + 45*v**2/8 - 2*v + 25. Factor x(a).
3*(a + 3)*(a + 5)/4
Let y(j) = 13*j**3 + 26*j**2 + 29*j - 28. Let t(r) = -24*r**3 - 51*r**2 - 57*r + 60. Let v(m) = 5*t(m) + 9*y(m). Solve v(k) = 0 for k.
-4, 1
Let n(p) = 65*p**5 - 130*p**4 - 145*p**3 + 90*p**2 + 40. Let j(v) = 5*v**5 - 10*v**4 - 11*v**3 + 7*v**2 + 3. Let z(s) = 40*j(s) - 3*n(s). Factor z(k).
5*k**2*(k - 2)*(k - 1)*(k + 1)
Suppose -456 = -3*t - 309. Let n be ((-2)/(-5))/(t/70). Factor 8/7 + 12/7*b + n*b**2.
4*(b + 1)*(b + 2)/7
Let c(j) be the first derivative of 6 + 0*j**3 + 0*j**5 + 0*j + 3/2*j**2 - 1/150*j**6 + 0*j**4. Let y(n) be the second derivative of c(n). Factor y(h).
-4*h**3/5
Let t be -1*0/(-4*(-2)/8). Let f(x) = -x**2 + 4*x + 5. Let z be f(5). Factor 2 + k - k**3 + k**2 - 3*k**2 + t*k**3 + z*k**2.
-(k - 1)*(k + 1)*(k + 2)
Solve -13824 - 71*q**3 + 0*q**4 + 708*q**2 - 3752*q + q**4 - 8344*q + 948*q**2 = 0 for q.
-1, 24
Let y(r) = 8*r**2 + 62*r + 42. Let g(z) = -z**2 - 2*z + 1. Let t