 2)**2*(2*t - 1)
Let c be 8/3*9/6. Let r(q) be the first derivative of 3 + 9*q**2 + 0*q - 18*q + c*q - 13*q - q**3. Let r(d) = 0. Calculate d.
3
Let g(m) be the third derivative of 3/2*m**3 - 1/4*m**4 + 1/60*m**5 + 0*m + m**2 + 0. Determine a so that g(a) = 0.
3
Let x be 825/300 - (-9)/(-12). Find t such that 0 + 3/4*t - 9/4*t**x - 3/4*t**4 + 9/4*t**3 = 0.
0, 1
Let s = 145 + -143. Let m(f) be the second derivative of -f - 1/30*f**5 + 1/9*f**4 + 0*f**s - 1/9*f**3 + 0. Let m(r) = 0. Calculate r.
0, 1
Let l(c) be the third derivative of -c**6/40 - 3*c**5/10 + 7*c**4/8 + 2*c**2 - 176. Find t, given that l(t) = 0.
-7, 0, 1
Let z(n) be the second derivative of -n**6/10 - 3*n**5/20 + 17*n**4/4 + 21*n**3/2 - 54*n**2 - 2*n + 5. Factor z(d).
-3*(d - 4)*(d - 1)*(d + 3)**2
Let x(a) be the first derivative of -a**6/780 + a**4/52 + 2*a**3/39 + 3*a**2 + 4. Let u(l) be the second derivative of x(l). Find j such that u(j) = 0.
-1, 2
Suppose p = 62*i - 58*i + 91, 4*p - 231 = -3*i. Determine z so that 9*z**2 - p*z - 3/7*z**3 + 147 = 0.
7
Suppose 0 = 3*k - 10*p + 11*p - 34, 3*k + 4*p = 46. Let h(c) be the first derivative of k - 3/2*c**2 + 0*c - c**3. Factor h(a).
-3*a*(a + 1)
Let m(z) be the third derivative of -z**5/105 + 17*z**4/7 - 1734*z**3/7 + 223*z**2. Factor m(a).
-4*(a - 51)**2/7
Factor 1/5*l**5 - 1/5*l**3 + 8/5*l**4 + 0 + 0*l - 8/5*l**2.
l**2*(l - 1)*(l + 1)*(l + 8)/5
Let z(a) = 132*a**2 + 2*a + 4*a**3 + 130*a**2 - 2 - 270*a**2. Let g be z(2). Suppose 0 - 1/2*c**g - c = 0. What is c?
-2, 0
Let r(f) be the first derivative of -3/2*f**2 - 4/3*f**3 + 5 + f. Let r(d) = 0. What is d?
-1, 1/4
Let o = -340409/166236 + 1/7916. Let v = -12/7 - o. Suppose g**3 + v*g**2 + 0 - 1/3*g**5 - 2/3*g - 1/3*g**4 = 0. What is g?
-2, -1, 0, 1
Let b = 8867 + -44332/5. Factor x**2 + 3/5*x - b*x**3 - 4/5 - 1/5*x**4.
-(x - 1)**2*(x + 1)*(x + 4)/5
Suppose -9*m + 63 = 9. Let s = -6 + 8. Solve -9*d**2 + 10*d**2 + m*d + s*d**2 = 0 for d.
-2, 0
Let a(y) = -5*y**3 + 4*y**2 + 5*y - 7. Let c = 7 + -10. Let u(l) = 8 + 4*l**3 - l**2 - 4*l - 2 - 2*l**2 - l**2. Let x(j) = c*u(j) - 2*a(j). Factor x(k).
-2*(k - 2)*(k - 1)*(k + 1)
Let s(m) = m**4 - 19*m**3 - 80*m**2 + 102*m + 2. Let p(j) = -4*j**4 + 57*j**3 + 240*j**2 - 307*j - 7. Let o(h) = 2*p(h) + 7*s(h). Factor o(d).
-d*(d - 1)*(d + 10)**2
Let c(x) = x + 1. Let i(z) = -10*z**2 - 126*z - 28. Let v(a) = -4*c(a) - i(a). Factor v(k).
2*(k + 12)*(5*k + 1)
Let b(r) be the second derivative of -5*r**6/36 + 43*r**5/24 + 89*r**4/72 + r**3/4 - r + 42. Let b(h) = 0. What is h?
-1/5, 0, 9
Let i be 3/(-18)*1/(-2). Let r(u) be the second derivative of 0*u**2 + 1/9*u**3 + i*u**4 + 0 - u - 1/90*u**6 + 0*u**5. Suppose r(t) = 0. Calculate t.
-1, 0, 2
Suppose 3*k - 35 = -11. Suppose 3*z + 2*r - 4*r - 6 = 0, -4*z = 5*r - k. Factor g**2 + g**2 - g - 3*g**z - g + 3.
-(g - 1)*(g + 3)
Let j = 3/3778 + 3757/26446. Factor 2/7 - j*z - 1/7*z**2.
-(z - 1)*(z + 2)/7
Let u(m) be the first derivative of 15*m**4/16 - 11*m**3/12 + m**2/4 + 37. Factor u(r).
r*(3*r - 1)*(5*r - 2)/4
Let m = -120 - -140. Determine h so that -5*h**2 - 9*h**2 - m*h**3 + 5*h**4 + 5*h**5 + 0*h**4 - 6*h**2 = 0.
-2, -1, 0, 2
Factor 2/15*n**3 + 0*n**2 + 0 - 4/15*n**4 + 2/15*n**5 + 0*n.
2*n**3*(n - 1)**2/15
Let q be -4 - 3*92/(-6). Suppose -50 = -2*w - q. Factor -2/7*c**w - 4/7*c + 0 + 2/7*c**2 + 4/7*c**3.
-2*c*(c - 2)*(c - 1)*(c + 1)/7
Let d(k) be the first derivative of 13 + 7*k**4 + 12/5*k**5 + 2*k**2 + 20/3*k**3 + 0*k. Let d(b) = 0. Calculate b.
-1, -1/3, 0
Let g(u) = 2*u**2 + 2*u - 7. Let n(a) = -1. Let o(q) = 2*g(q) - 6*n(q). Find w such that o(w) = 0.
-2, 1
Let m(n) = 3*n**2 - 4*n + 1. Let l(g) = g**2 + g - 2. Let a(f) = -2*l(f) + m(f). Factor a(x).
(x - 5)*(x - 1)
Let w(c) be the third derivative of 0*c**3 - 1/105*c**7 + 0*c - 13*c**2 + 0*c**6 + 1/336*c**8 + 0 + 0*c**4 + 0*c**5. Factor w(l).
l**4*(l - 2)
Suppose -2*m - 23 + 27 = 0. Let g be (-1)/(-3) + (-22)/(-6). Factor -4*n**m - 3*n - g*n**4 - 2*n**4 - 5*n**2 + 3*n**4 - 9*n**3.
-3*n*(n + 1)**3
Let t(f) be the third derivative of -4*f**3 - 7/2*f**4 - 44*f**2 + 0 + 247/40*f**6 + 3/2*f**7 + 31/10*f**5 + 0*f. Determine w so that t(w) = 0.
-2, -2/5, -2/7, 1/3
Let m be -6 - ((-988)/130)/(12/10). Let 1/3*g**4 - 8/3*g + 5/3*g**3 - 4/3 - 1/3*g**5 - m*g**2 = 0. Calculate g.
-1, 2
Let q(h) = -2*h**2 + 4*h. Let i(y) = -y**2 + y - 1. Let k(w) = -2*w - 2. Let d(j) = 6*i(j) - 3*k(j). Let r(f) = 3*d(f) - 8*q(f). Factor r(v).
-2*v*(v - 2)
Let s = 1493 + -1491. Let n(i) be the first derivative of 4/7*i + 4/35*i**5 - 11 + 1/7*i**4 - 8/21*i**3 - 1/7*i**s - 1/21*i**6. Suppose n(o) = 0. Calculate o.
-1, 1, 2
Factor -8 + 2/17*d**2 + 64/17*d.
2*(d - 2)*(d + 34)/17
Suppose -278*f + 161*f + 351 = 0. Factor 0*l**2 - 1/4*l**5 + 0*l + 0 + 1/2*l**4 - 1/4*l**f.
-l**3*(l - 1)**2/4
Let o(i) be the second derivative of 2*i**2 - 1/15*i**6 + 1/2*i**4 + 0 - 5/3*i**3 + 1/10*i**5 - 28*i. Suppose o(y) = 0. What is y?
-2, 1
Let l(k) be the first derivative of 3*k**4/4 - 11*k**3/3 - 7*k**2 + 490. Let l(x) = 0. What is x?
-1, 0, 14/3
Let j(v) = -v**2 + 2*v + 5. Let r be j(3). Find q, given that -4*q - 5*q**r + 5*q - 5 - 11*q = 0.
-1
Suppose -20 = 3*q - 38, 3*j = -3*q + 18. Suppose j + 2/3*b**3 - 2*b + 4/3*b**2 = 0. What is b?
-3, 0, 1
Factor -48*f**2 - 56 + 5*f**3 - 5*f**3 - f**3 + 5*f**3 - 108*f.
4*(f - 14)*(f + 1)**2
Solve 319*o**2 + 0 + 64/3*o**3 - 726*o + 1/3*o**4 = 0 for o.
-33, 0, 2
Let p(u) be the second derivative of -u**4/6 + 2*u**3 - 8*u**2 + 39*u - 2. Factor p(f).
-2*(f - 4)*(f - 2)
Let t be (3/(-15))/(1/(-35)). Let w be (t/(140/(-24)))/(66/(-20)). What is x in -2/11*x + 2/11*x**4 + w*x**3 - 2/11*x**5 - 4/11*x**2 + 2/11 = 0?
-1, 1
Suppose 11*r = 7*r. Let a(z) be the second derivative of r - 1/16*z**4 - z + 0*z**2 - 1/4*z**3 + 3/40*z**5 + 1/40*z**6. Factor a(t).
3*t*(t - 1)*(t + 1)*(t + 2)/4
Suppose -23*f = -18*f - 190. Let y = f + -113/3. Solve 2/3*b - 1/3 - y*b**2 = 0.
1
Let v = 95 + -98. Let u be 196/91 - (6/v + 4). Factor 0 + u*i**2 + 2/13*i.
2*i*(i + 1)/13
Suppose -35/4*n**4 + 25/4*n**3 + 55*n**2 + 0 + 15*n = 0. What is n?
-2, -2/7, 0, 3
Suppose -2*r = -s + 11, 0 = -3*s + 3*r - 8*r - 11. Let t be (s/(-66)*-1)/((-1)/(-4)). Factor -t*v**2 + 4/11*v - 2/11.
-2*(v - 1)**2/11
Let w be 8/(-20) + (-66)/(-15). Suppose 15 = -0*h + 3*h, -36 = -4*f - w*h. Find b, given that -6*b - 3*b**2 + 2*b**3 + 4*b**4 + 4*b**3 + 3*b**4 - 4*b**f = 0.
-2, -1, 0, 1
Let s(f) = -f**2 + 2*f + 3. Let v be s(4). Let d = v + 10. Suppose -5 - 2*k**2 + d = 0. Calculate k.
0
Let x = -2727/10 - -273. Let m(j) be the first derivative of 1/20*j**4 + 2/5*j - x*j**2 + 4 + 0*j**3. Factor m(c).
(c - 1)**2*(c + 2)/5
Let d(x) = x**3 + 11*x**2 - 13*x - 9. Let g be d(-12). Let w be g - 3 - -1*3. Suppose 10 - 4*f - 2*f**2 - w*f**2 - f + 10*f = 0. What is f?
-1, 2
Let p(u) be the second derivative of -u**7/210 - u**6/6 - 5*u**5/2 - 125*u**4/6 + u**3 - 11*u. Let g(t) be the second derivative of p(t). Factor g(l).
-4*(l + 5)**3
Factor 3/5*r**3 - 21/5 - 27/5*r**2 + 9*r.
3*(r - 7)*(r - 1)**2/5
Let o = 38 - 68. Let b = o + 30. Factor -a**4 + 0*a + b + a**3 - 1/4*a**2.
-a**2*(2*a - 1)**2/4
Let x(v) = 8 + 8*v + 12*v**2 + 5*v**2 + 6*v + 3*v. Let b(w) = -6*w**2 - 6*w - 3. Let z(t) = 8*b(t) + 3*x(t). Factor z(f).
3*f*(f + 1)
Let f(d) be the first derivative of -4*d**3/3 + 208*d**2 - 412*d + 441. Find w such that f(w) = 0.
1, 103
Let o = -863/6 - -871/6. Solve 5*v**4 + 0 + o*v**3 - 3*v**2 + 2/3*v = 0 for v.
-1, 0, 1/3, 2/5
Let q be 6/40*(172/(-36) - -5). Let g(x) be the first derivative of 0*x + 8 - q*x**4 + 0*x**2 + 0*x**3. Let g(s) = 0. Calculate s.
0
Let p be ((-69)/4)/(3/(-40)*2). Let b be (p/28 - 4)*16. Factor -b*j + 9/7 + 3/7*j**2.
3*(j - 3)*(j - 1)/7
Let l(c) be the first derivative of 8*c**5/35 + 75*c**4/7 - 22*c**3 + 233*c**2/14 - 39*c/7 - 369. Factor l(m).
(m + 39)*(2*m - 1)**3/7
Let j = -1673/12 + 559/4. Suppose -1/3 - 2/3*u - j*u**2 = 0. What is u?
-1
Let o(n) be the first derivative of -13 + 5/3*n**3 - 15/2*n**4 - n**5 + 0*n + 15*n**2. Let o(m) = 0. What is m?
-6, -1, 0, 1
Factor -6*i + 9*i**2 + 43*i**3 - 84*i**3 + 38*i**3.
-3*i*(i - 2)*(i - 1)
Let v(p) = 46*p**2 + 70*p - 34. Let k(j) = 16*j**2 + 24*j - 12. Let f(c) = -17*k(c) + 6*v(c). Factor f(u).
4*u*(u + 3)
Let x(m) be the second derivative of -m**4/24 - 35