25/3*l + 5*l**2 = 0. Calculate l.
-4, -1, 1
Let g(l) be the third derivative of l**5/40 - 2*l**4 - 33*l**3/4 + 480*l**2. Factor g(r).
3*(r - 33)*(r + 1)/2
Let h = 143/252 - -1/252. Factor -2/7*y**2 - 2/7 - h*y.
-2*(y + 1)**2/7
Suppose 13 - 43 = -2*p. Suppose 0*l - 5*l = -p. Factor -l + 13*x**3 + 22*x**3 - 36*x + x**3 - 9 + 27*x**4 - 15*x**2.
3*(x - 1)*(x + 1)*(3*x + 2)**2
Let z = 17 - 14. Factor -z*f**2 - 5*f**3 + 3*f**2 + 7*f**2 - 2*f**2.
-5*f**2*(f - 1)
Let f be (-2 - 1) + 4010/(-200). Let h = -89/4 - f. Let -h + 2/5*s - 6*s**4 - 2/5*s**3 + 34/5*s**2 = 0. Calculate s.
-1, -2/5, 1/3, 1
Let l(s) be the second derivative of 0*s**4 + 2/3*s**3 + 4*s - 1/15*s**6 + 0 - 1/5*s**5 + s**2. Factor l(h).
-2*(h - 1)*(h + 1)**3
Let d(q) = 2*q**2 - 6*q - 34. Let k(c) = -2*c**2 + 5*c + 39. Let z(x) = 3*d(x) + 2*k(x). Let z(o) = 0. What is o?
-2, 6
Let t(v) = 10*v**2 - 14*v - 4. Let d(x) = x**2 - x - 1. Suppose 9 = i - 4. Let q = -21 + i. Let h(r) = q*d(r) + t(r). Determine u so that h(u) = 0.
1, 2
Let 51/8 - 39/2*s + 9/8*s**2 = 0. What is s?
1/3, 17
Let p(r) = -1 - 5*r - 1 + 2*r - 2. Let s be p(-2). Solve 2*y - 12*y**3 + 9*y**4 - s*y + 4*y + 1 - 2*y**2 = 0.
-1/3, 1
Let k(i) = i + 5. Let f be k(-3). Factor -5*y + f*y**2 - 7*y**2 - 114*y**4 + 119*y**4 + 5*y**3.
5*y*(y - 1)*(y + 1)**2
Suppose 6*h - 5 + 11 = 0. Let x(k) = k**3 + k**2 - k + 1. Let d(n) = 15*n**3 - 10*n**2 + 15*n. Let l(i) = h*d(i) + 10*x(i). Determine p, given that l(p) = 0.
1, 2
Let i(c) = -8 + 5*c**2 + 6*c**2 - 12*c**2 - 7*c + 0*c**2. Let f be i(-3). Determine k so that 4/3*k**3 - 2*k**2 - 1/3*k**f + 4/3*k - 1/3 = 0.
1
Let n(p) be the second derivative of -p**5/20 - p**4/12 + 9*p. Let j(u) = -u**3 - 5*u**2 + 3*u - 1. Let a(y) = -3*j(y) + 6*n(y). Factor a(w).
-3*(w - 1)**3
Let n(w) be the second derivative of w**7/16380 + w**6/1170 + w**5/195 - w**4/12 + 19*w. Let v(z) be the third derivative of n(z). Solve v(l) = 0.
-2
Solve 64/3*d - 64/3 - 20/3*d**2 + 2/3*d**3 = 0.
2, 4
Let w(d) be the third derivative of 0 + 1/20*d**6 + 1/3*d**3 + 0*d - 7/60*d**5 + 12*d**2 - 11/24*d**4. Factor w(r).
(r - 2)*(r + 1)*(6*r - 1)
Let x(w) be the second derivative of 7/24*w**4 + 3/40*w**5 + 0 - 1/168*w**7 - 17*w + 11/24*w**3 + 3/8*w**2 - 1/120*w**6. Factor x(m).
-(m - 3)*(m + 1)**4/4
Let -45/11 + 13/11*l**2 - 1/11*l**3 - 31/11*l = 0. What is l?
-1, 5, 9
Suppose i = -4*j + 16, j + 13 = 5*i - 4. Suppose j*l - 6 + 0 = 0. Factor 0 + 1/4*f**l - 1/2*f.
f*(f - 2)/4
Let g(l) = -7*l**4 - l**3 - 3*l**2 + 3. Let h be (-3)/(-1)*(1 - 0). Let x(a) = 8*a**4 - 2 - 3 + 4*a**2 + 4 - h. Let i(c) = 4*g(c) + 3*x(c). Factor i(u).
-4*u**3*(u + 1)
Suppose -2*f - 5*l + 9 = 0, f - 3*l + 1 = -0. Factor 6 - 1 + 5*o**f + 21*o - 31*o.
5*(o - 1)**2
Let g(i) be the third derivative of 125/18*i**3 - 11*i**2 + 0*i + 1/12*i**5 - 25/24*i**4 - 1/360*i**6 + 0. Factor g(n).
-(n - 5)**3/3
Let o = 15 + -13. Solve 72*i + 4*i**3 + o*i**3 - 27 - 24*i**2 - 15*i**2 = 0.
1/2, 3
Let l(v) be the first derivative of v**6/4 - 3*v**5/10 - 9*v**4/8 + v**3/2 + 3*v**2/2 + 69. Determine p so that l(p) = 0.
-1, 0, 1, 2
Let s(m) = 8*m**4 - 2*m**3 - 2*m**2 + 8*m. Let n(r) = 15*r**4 - 5*r**3 - 5*r**2 + 15*r. Let v be 6*((-4)/(-8))/1. Let q(u) = v*n(u) - 5*s(u). Factor q(g).
5*g*(g - 1)**2*(g + 1)
Let u(z) be the third derivative of z**8/105 + 52*z**7/525 + 43*z**6/200 + 23*z**5/150 + z**4/24 + 36*z**2. Determine c so that u(c) = 0.
-5, -1, -1/4, 0
Let w be 4 + ((-135)/5)/(-3). Suppose w*a = 30 + 9. Factor -20/3*y + 4*y**a + 32/3*y**2 - 8.
4*(y - 1)*(y + 3)*(3*y + 2)/3
Let p(c) be the third derivative of -c**8/4200 - c**7/420 - 7*c**6/900 - c**5/100 + c**3/3 - 22*c**2. Let q(i) be the first derivative of p(i). Factor q(n).
-2*n*(n + 1)**2*(n + 3)/5
Suppose -20*r + 19*r - 30 = 0. Let y be (-9)/r*102/17. Factor 6/5*v**2 + 0 + 3/5*v**4 - y*v**3 + 0*v.
3*v**2*(v - 2)*(v - 1)/5
Let t be (-36)/(-30)*120/1224. Factor -16/17*n**2 + 0 + t*n**3 + 32/17*n.
2*n*(n - 4)**2/17
Let y(j) be the first derivative of -2*j**3/57 + 74*j**2/19 + 150*j/19 + 622. Factor y(i).
-2*(i - 75)*(i + 1)/19
Suppose -4*x + 5 = -7, -3*c + 6 = 5*x. Let p be (-1 + (0/c)/1)*0. Factor -k**3 + 0 + 0*k**4 + 1/2*k + 1/2*k**5 + p*k**2.
k*(k - 1)**2*(k + 1)**2/2
Let b be 14 + 44/198*-53. Let -50/9 - b*u - 2/9*u**2 = 0. Calculate u.
-5
Factor 16/3 + 20/3*i - 2*i**2.
-2*(i - 4)*(3*i + 2)/3
Let t(s) be the first derivative of s**5/180 + s**4/108 - 3*s + 5. Let u(z) be the first derivative of t(z). Factor u(i).
i**2*(i + 1)/9
Let f(h) be the third derivative of 0*h**3 + 0*h**5 + 0 - 1/600*h**6 + 0*h**4 - 6*h**2 + 0*h. Let f(r) = 0. What is r?
0
Let p(v) be the second derivative of 0 - 1/90*v**6 + 0*v**2 + 1/36*v**4 - 14*v - 1/9*v**3 + 1/30*v**5. Factor p(x).
-x*(x - 2)*(x - 1)*(x + 1)/3
Let n(a) = a**2 - 1. Let l be n(1). Suppose l = -h, -j + 4*h = -h. Let 0*z**2 - 1/4*z**3 + 0*z + j = 0. What is z?
0
Factor 0 - 9/7*l**2 + 2/7*l.
-l*(9*l - 2)/7
Let n(a) be the second derivative of 0 + 1/21*a**7 + 1/2*a**2 + 37/24*a**4 + 5/4*a**3 + 16*a + 41/40*a**5 + 7/20*a**6. Factor n(c).
(c + 1)**3*(c + 2)*(4*c + 1)/2
Factor -2/5*d**5 - 168*d**2 - 284/5*d**3 - 882/5*d - 8*d**4 + 0.
-2*d*(d + 3)**2*(d + 7)**2/5
Suppose -370/19*r**2 - 96/19*r - 462/19*r**4 - 614/19*r**3 - 8/19 - 130/19*r**5 = 0. Calculate r.
-1, -2/5, -2/13
Determine v so that -36/5*v**2 + 2/15*v**3 + 648/5*v - 3888/5 = 0.
18
Let w be (-2 - (3 - 2)) + (6 - (-31)/(-11)). Suppose 2/11*x**2 + 2/11*x**3 - w*x**5 + 0*x + 0 - 2/11*x**4 = 0. What is x?
-1, 0, 1
Let k(s) be the third derivative of 0*s + 2/15*s**4 + 25*s**2 + 0 + 0*s**3 + 1/150*s**6 + 4/75*s**5. Solve k(y) = 0.
-2, 0
Let u(l) = -l**2 + 11*l - 8. Let w be u(10). Let y be 8/w + -6 - -11. Factor y*g**2 + 10*g**4 - 19*g**2 + 5*g + 0*g**5 - 5*g**5.
-5*g*(g - 1)**3*(g + 1)
Let v(w) be the first derivative of 3*w**6/10 - 3*w**5/5 - 21*w**4/20 + 9*w**3/5 + 6*w**2/5 - 12*w/5 - 147. Find j such that v(j) = 0.
-1, 2/3, 1, 2
Let d(t) be the second derivative of -t**6/135 - 16*t**5/45 - 13*t**4/6 - 142*t**3/27 - 56*t**2/9 + 343*t. Let d(u) = 0. What is u?
-28, -2, -1
Let p = 50 - -220. Let j = -1342/5 + p. Suppose 2/5*z**3 + j*z - 8/5*z**2 + 0 = 0. Calculate z.
0, 2
Let x(v) = -28*v - 28. Let m be x(-1). Let b(l) be the first derivative of 0*l - 2/9*l**3 + m*l**2 + 3. Factor b(k).
-2*k**2/3
Let t be -2*9/((-18)/4). Suppose -2*i + 5*o = 3*i, 4*i = -4*o + 16. Solve -2/9*m**3 + 0 - 2/9*m**t + 2/9*m + 2/9*m**i = 0 for m.
-1, 0, 1
Let s(z) be the first derivative of z**4/16 - 17*z**3/24 - 3*z**2/4 - 38*z + 31. Let y(x) be the first derivative of s(x). Let y(h) = 0. Calculate h.
-1/3, 6
Let c = -176 - -179. Let k(h) be the first derivative of -c*h**4 - 27/8*h**2 + 3/4*h - 4 + 6*h**3. Factor k(r).
-3*(r - 1)*(4*r - 1)**2/4
Suppose 0 = 3*g - 4*g + 2*r + 25, g - 4*r - 27 = 0. Let k = 23 - g. Find w such that -w**3 - w + 3*w - w**3 + k*w**3 + 6 - 6*w**2 = 0.
-3, -1, 1
Let f(x) be the third derivative of x**8/784 - 3*x**7/490 - x**6/40 + x**5/20 + 9*x**4/28 + 4*x**3/7 - 160*x**2. Factor f(a).
3*(a - 4)*(a - 2)*(a + 1)**3/7
Let t(i) be the first derivative of -i**6/8 + 3*i**4/8 - 3*i**2/8 - 739. Solve t(a) = 0.
-1, 0, 1
Let p(k) = -k**3 + 5*k**2 + 2*k - 7. Let z be p(5). Let h(o) be the first derivative of 0*o**3 - 1/2*o**4 - 3 + z*o**2 - 4*o. Solve h(b) = 0 for b.
-2, 1
Find s such that -1/2*s**2 + 2*s**3 - 3*s - 1/2*s**4 + 0 = 0.
-1, 0, 2, 3
Let -5*s**2 + 168 - 9*s - 41*s - 16*s - 59*s - 38 = 0. Calculate s.
-26, 1
Let n(g) be the second derivative of g**4/12 - 3*g**3/2 + 7*g - 11. Factor n(j).
j*(j - 9)
Let q(h) be the first derivative of 4*h**5/45 + 11*h**4/9 - 67. Solve q(l) = 0 for l.
-11, 0
Let i(v) be the first derivative of -v**6/75 + v**5/75 + v**4/30 - 13*v**2 - 18. Let c(u) be the second derivative of i(u). Factor c(d).
-4*d*(d - 1)*(2*d + 1)/5
Let n(q) be the first derivative of 1/75*q**5 + 0*q - 5/2*q**2 + 0*q**3 + 1/60*q**4 - 3. Let j(h) be the second derivative of n(h). Factor j(t).
2*t*(2*t + 1)/5
Let v(t) be the third derivative of -1/360*t**5 + 0 - 1/2160*t**6 - 1/144*t**4 + 8*t**2 + 0*t + 1/2*t**3. Let n(w) be the first derivative of v(w). Factor n(u).
-(u + 1)**2/6
Factor -100/3 + 85/3*t**3 - 95*t**2 + 295/3*t + 5/3*t**4.
5*(t - 1)**3*(t + 20)/3
Let b(k) = 11*k**5 - 2*k**4 - 6*k**2 + 5*k - 8. Let u(q) = 7*q**5 -