+ 0*o. Factor n(l).
2*l**2*(l - 1)*(l + 1)/9
Let l(d) be the second derivative of -d**4/12 - d**3/6 + 6*d. Factor l(b).
-b*(b + 1)
Let v be 14/28*(-1)/(-2)*9. Factor 1/4*s**4 + v*s**2 + 7/4*s + 5/4*s**3 + 1/2.
(s + 1)**3*(s + 2)/4
Factor -101 + 101 + 2*o**4 + 2*o**3 - 2*o**2 - 2*o**5.
-2*o**2*(o - 1)**2*(o + 1)
Let g(r) = 2*r + 8. Let s be g(-4). Let k(v) be the first derivative of -2 - 1/12*v**3 + 1/20*v**5 - 1/8*v**2 + 1/16*v**4 + s*v. Factor k(i).
i*(i - 1)*(i + 1)**2/4
Let k(i) be the third derivative of -i**5/210 - i**4/42 - i**3/21 + i**2. Factor k(f).
-2*(f + 1)**2/7
Let g be -8 + 24/(-90)*-42. Factor g*v**2 + 0 - 2/5*v**3 - 32/5*v.
-2*v*(v - 4)**2/5
Let b(z) be the second derivative of -z + 10*z**3 - 25/2*z**4 + 0 + 25/4*z**5 - 4*z**2. Let b(s) = 0. Calculate s.
2/5
Suppose 0*f - 12 = -4*f. Suppose 3*b = 3 + f. Factor -11/3*l**3 + 4/3*l**4 - 1/3*l + 3*l**b - 1/3.
(l - 1)**3*(4*l + 1)/3
Let h be (93/24 - 4)*-6. Let m(a) be the first derivative of -3/2*a**2 + h*a**4 - 1 + 0*a - 3/5*a**5 + a**3. Solve m(p) = 0 for p.
-1, 0, 1
Suppose 6*w = 2*w + 12. Let n(u) be the second derivative of -3*u - u**2 + 0*u**w + 1/6*u**4 + 0. Determine g, given that n(g) = 0.
-1, 1
Let c = 0 + 17. Suppose 3*o - 3*j - c = o, 5*j + 15 = 0. Let 8*y**2 + 3*y + 3*y**2 - 3*y**3 - 6 - 9*y**4 - o*y**2 + 8*y**2 = 0. What is y?
-1, 2/3, 1
Let x(s) = 4*s**2 + 3*s + 1. Let n(m) be the second derivative of -17/12*m**4 - 5/2*m**2 + 0 - 4*m - 13/6*m**3. Let t(h) = 2*n(h) + 9*x(h). Factor t(q).
(q + 1)*(2*q - 1)
Let o = -38 + 343/9. Let b(y) be the first derivative of -1/15*y**5 + 0*y + 2 - 1/6*y**4 + o*y**3 + 1/3*y**2. Determine r, given that b(r) = 0.
-2, -1, 0, 1
Factor 1/5*m**4 + 0*m + 1/5 + 0*m**3 - 2/5*m**2.
(m - 1)**2*(m + 1)**2/5
Suppose -4 = -3*u + u. Solve 8*r**u + 51*r**2 + 20*r**3 + 108*r + 13*r**2 + 2*r**4 + 54 = 0 for r.
-3, -1
Let u(r) = -12*r + 10. Let s(h) = -h**2 - 13*h + 9. Let a(y) = -4*s(y) + 6*u(y). Factor a(q).
4*(q - 3)*(q - 2)
Let b(z) = -4*z**2 - 4*z - 4. Let n(q) = -q**2 - 1. Suppose -4*v + 2*v = 2. Let h(o) = v*b(o) + 2*n(o). Factor h(m).
2*(m + 1)**2
Determine q so that 223 - 88*q - 586 + 0*q**2 - 3*q**2 + 22*q = 0.
-11
Suppose p + 0 = -2. Let d(h) = 6 - 6*h - 3*h - h. Let r(l) = -l**2 - 31*l + 17. Let x(f) = p*r(f) + 7*d(f). Determine u, given that x(u) = 0.
2
Suppose -2*i + 2*a + 7 = -3, 0 = 3*i + 2*a. Let w(f) be the first derivative of -1 + 2/9*f**3 + 1/18*f**4 + 2/9*f + 1/3*f**i. Solve w(u) = 0.
-1
Determine s, given that 8*s**2 + 10*s**2 - 24*s**2 + 8*s - 2 = 0.
1/3, 1
Let t be 10/(-30) + (-3)/(-9). Determine r so that -2/7*r - 30/7*r**3 - 18/7*r**2 + t + 50/7*r**4 = 0.
-1/5, 0, 1
Factor -8*t**2 - 4*t + 23*t**3 + 8 - 19*t**3 + 0*t.
4*(t - 2)*(t - 1)*(t + 1)
Let r(s) be the second derivative of -2*s**7/21 + 2*s**6/15 + s**5 + s**4 - 11*s. Find j such that r(j) = 0.
-1, 0, 3
Factor 0 - 4/7*w + 18/7*w**2 - 2*w**3.
-2*w*(w - 1)*(7*w - 2)/7
Let g(p) be the first derivative of p**3/4 - 3*p**2/2 + 3*p + 6. Factor g(b).
3*(b - 2)**2/4
Let b(l) = -4*l**3 + 10*l**2 + 4*l - 3. Let s(u) = u**3 - 3*u**2 - u + 1. Suppose -2*f - 3*f = 20. Let h(r) = f*b(r) - 14*s(r). Factor h(o).
2*(o - 1)*(o + 1)**2
Let y = -2 + 4. Let p = -11 - -14. Factor -y*r**4 - 4*r**p - r**2 + 3*r**3 + 3*r**4 + r.
r*(r - 1)**2*(r + 1)
Suppose 41 = 13*q + 2. Let i(c) be the third derivative of c**2 - 1/60*c**5 + 0 + 0*c**q + 0*c + 0*c**4. Factor i(r).
-r**2
Let m = -75577/58 + 5213/4. Let p = m - -3/58. Factor p + 1/4*t**2 - 1/2*t.
(t - 1)**2/4
Let l be (-4 - 1)/(-40)*4. Factor -l*w**5 + 1/2*w**4 + w**3 - w**2 - 1/2*w + 1/2.
-(w - 1)**3*(w + 1)**2/2
Suppose -75/2 - 3/2*m**2 - 15*m = 0. Calculate m.
-5
Factor 0 - 10/7*y**4 + 2/7*y**2 + 8/7*y**3 + 0*y.
-2*y**2*(y - 1)*(5*y + 1)/7
Let q be (-266)/(-63) + 1 + (-11)/9. Suppose 3*l = 3*t, -9 = -3*l + 6. Factor -2/3*j**2 + 2/3*j**q + 0 + 0*j**3 + 1/3*j - 1/3*j**t.
-j*(j - 1)**3*(j + 1)/3
Let k be (-1)/2*2/(-5). Let v = 2/111 + 101/555. Factor v - k*j**2 + 0*j.
-(j - 1)*(j + 1)/5
Let f be 3/12*(19 - -1). Let m(v) be the second derivative of -1/50*v**f - 1/20*v**4 + 0*v**2 + v + 0 - 1/30*v**3. Factor m(g).
-g*(g + 1)*(2*g + 1)/5
Factor 10/3*i - 1/3*i**3 - i**2 + 0.
-i*(i - 2)*(i + 5)/3
Let b(q) = 3*q**4 - 6*q**3 + 6*q**2 - 3. Let r(i) = 3*i**4 - 6*i**3 + 5*i**2 + i - 3. Let w(k) = 5*b(k) - 6*r(k). Factor w(o).
-3*(o - 1)**3*(o + 1)
Let r(d) be the first derivative of d**8/420 + d**7/420 - d**6/180 + d**3/3 + 3. Let b(n) be the third derivative of r(n). Factor b(h).
2*h**2*(h + 1)*(2*h - 1)
Let a(q) be the first derivative of -q**7/3360 - q**6/1440 - 5*q**3/3 + 3. Let j(s) be the third derivative of a(s). Let j(l) = 0. What is l?
-1, 0
Let 2/7*m**2 - 12/7 - 10/7*m = 0. Calculate m.
-1, 6
Let c(l) = l**3 + 16*l**2 - 15*l + 52. Let p be c(-17). Suppose -15*s**2 - 25/2*s**3 - 4 + p*s = 0. Calculate s.
-2, 2/5
Suppose 2*v = 2*z + 3*z - 40, -3*v + 8 = z. Factor -b**2 - z - 3*b**2 - 8*b + 2*b**2.
-2*(b + 2)**2
Solve 20/3 + 140/3*t**2 + 85/3*t + 5/3*t**5 + 40/3*t**4 + 110/3*t**3 = 0.
-4, -1
Let j(n) be the third derivative of 0 - 2*n**2 - 2/105*n**5 + 0*n**3 - 1/84*n**4 + 0*n. Factor j(b).
-2*b*(4*b + 1)/7
Let u be 1/(-7)*((-9 - 12) + 7). Determine c so that 4/7*c**4 + 33/7*c**u + 20/7*c**3 + 20/7*c + 4/7 = 0.
-2, -1/2
Factor 21*o**2 + 2 - 8 + 15*o + 0*o.
3*(o + 1)*(7*o - 2)
Suppose -2*d - d + 5*b + 88 = 0, 4*d - 79 = -b. Determine i so that 8 - 8*i**2 + 4*i**5 + 9*i + 3*i + 5*i**3 - d*i**3 = 0.
-1, 1, 2
Solve 9/7*r**3 + 0*r - 3/7*r**2 + 12/7*r**4 + 0 = 0.
-1, 0, 1/4
Suppose 2/23*b**2 + 0 + 0*b - 2/23*b**3 = 0. Calculate b.
0, 1
Let g(p) = -p**5 - 4*p**4 - 3*p**3 + 2*p**2 - 2. Let f(q) = 3*q**5 + 15*q**4 + 12*q**3 - 9*q**2 + 9. Let i = 15 + -13. Let l(d) = i*f(d) + 9*g(d). Factor l(x).
-3*x**3*(x + 1)**2
Suppose 7/2*a**3 + 6/5 + 81/10*a**2 - 34/5*a = 0. Calculate a.
-3, 2/7, 2/5
Let j(b) = 8*b. Suppose 5*t + 6 = 4*q - 2*q, -6 = -2*q + 4*t. Let n be j(q). Let -n*l**2 + 14*l**3 + 14*l + 2 - 8*l + 2 = 0. Calculate l.
-2/7, 1
Let -2/7*q**2 + 0*q + 2/7 = 0. Calculate q.
-1, 1
Factor -2*h + 3*h**2 - 3*h**3 - 7*h**2 - h - 2*h**2.
-3*h*(h + 1)**2
Let t(q) be the third derivative of q**6/660 + 9*q**2. What is w in t(w) = 0?
0
Factor 2/7*r**4 + 2/7*r**3 - 2/7*r**2 - 2/7*r + 0.
2*r*(r - 1)*(r + 1)**2/7
Find m, given that -24*m**2 + 114*m**3 - 43*m**5 - 15*m**5 + 7*m**4 - 6 + 23*m**4 - 39*m - 17*m**5 = 0.
-1, -2/5, -1/5, 1
Suppose 0*i + 4*v - 3 = -5*i, 4*v + 9 = -i. Suppose -x**3 + 2*x**3 + 0*x**3 + 4 - 6*x + x**i = 0. Calculate x.
-2, 1
Suppose 2/7 - 4/7*z**2 - 4/7*z**3 + 2/7*z + 2/7*z**4 + 2/7*z**5 = 0. Calculate z.
-1, 1
Let x(z) = 11*z - 187. Let j be x(17). Let u = 371/5 + -74. Factor -u*p**4 - 3/5*p**3 - 1/5*p + j - 3/5*p**2.
-p*(p + 1)**3/5
Let d(i) be the second derivative of -i**4/42 - 2*i**3/7 - 9*i**2/7 - 12*i - 2. Solve d(r) = 0 for r.
-3
Let t(y) be the second derivative of -y**4/42 - 2*y**3/21 + 5*y. Factor t(m).
-2*m*(m + 2)/7
Suppose 143 = 4*z - 25. Let o = z + -167/4. Determine p so that 1/4*p**3 - o*p + 1/4*p**2 - 1/4 = 0.
-1, 1
Find n, given that 3/2*n - 3/4*n**2 + 6 = 0.
-2, 4
Determine p so that -39/4*p + 3/4 - 243/2*p**3 - 243/4*p**5 + 99/2*p**2 + 567/4*p**4 = 0.
1/3, 1
Let v(w) be the second derivative of 1/6*w**4 + 0 + 0*w**2 + 1/6*w**3 + 1/20*w**5 - w. Factor v(d).
d*(d + 1)**2
Suppose 60 = -7*k + 19*k. Find r such that 9/5*r**4 - 6/5*r**3 - 4/5*r**k + 1/5*r**2 + 0 + 0*r = 0.
0, 1/4, 1
Let r be (-3)/(-6)*(71 + -1). Suppose -r = -4*q + 13. Factor 8*d**4 + 0 + 2 + q*d + 12*d**3 - 4*d**3 + 16*d**3 + 26*d**2.
2*(d + 1)**2*(2*d + 1)**2
Let v(z) be the first derivative of -4 + 2/3*z**2 + 7/3*z**4 + 2/3*z - 2/3*z**5 - 8/3*z**3. Find s such that v(s) = 0.
-1/5, 1
Let y(z) be the second derivative of -z**5/140 - z**4/42 + z**3/42 + z**2/7 - 9*z. Let y(d) = 0. What is d?
-2, -1, 1
Suppose 6/7*g**2 + 8/7 - 10/7*g**3 + 24/7*g = 0. What is g?
-1, -2/5, 2
Let o(u) be the second derivative of 0*u**2 - 3/20*u**5 + 3/10*u**6 + 0 + 1/7*u**7 - 3/4*u**4 - 1/2*u**3 + 6*u. Determine v so that o(v) = 0.
-1, -1/2, 0, 1
Suppose 5 = -3*q - 5*k, -2*q - q + 4*k + 4 = 0. Suppose w - 3*w = q. Suppose h + w - h**2 - 2*h - 2 + 4*h = 0. Calculate h.
1, 2
Let g(j) be the first derivative of 1/27*j**3 + 2*j - 1/54*j**4 + 0*j**2 - 1/90*j**5 + 1 + 1/135*j**6. Let n(v)