1/9*j**5.
-j*(j + 1)**2*(j + 2)**2/9
Let v(l) be the first derivative of l**5/100 + l**4/10 + 3*l**3/10 + 5*l - 4. Let f(o) be the first derivative of v(o). Factor f(m).
m*(m + 3)**2/5
Let y(i) be the second derivative of -i**4/54 + 35*i**3/27 + 38*i**2/3 - i - 45. Factor y(p).
-2*(p - 38)*(p + 3)/9
Let t(f) = -5*f**3 - 3*f**2 - 3*f - 2. Let n be t(-2). Factor 2*s**4 - 20*s**3 - 17*s**3 + n - 16*s**2 + 37*s**3.
2*(s - 2)**2*(s + 2)**2
Let b be 245/(-294) - 230/(-132). What is w in -3/11 - 1/11*w**4 + 6/11*w**3 - 12/11*w**2 + b*w = 0?
1, 3
Let t = 111 + -156. Let h be (-15)/(-18)*3/t*-3. Factor -1/6*x**2 - h*x**4 + 1/2*x**3 + 1/3 - 1/2*x.
-(x - 2)*(x - 1)**2*(x + 1)/6
Let t be (1 + 1)/(3/(-12)). Let y = -4 - t. Factor -1 - 47*l**4 + 3*l**3 + 3*l**5 + 41*l**y + 1.
3*l**3*(l - 1)**2
Let n(l) be the second derivative of 1/16*l**4 + 1/40*l**5 + 0 + 2*l + 1/16*l**2 + 1/240*l**6 + 1/12*l**3. Determine o, given that n(o) = 0.
-1
Let y be 88/((-1 - -3)*(-50)/(-110)). Let s = y + -96. What is l in -3/5*l - 1/5*l**3 + s*l**2 + 0 = 0?
0, 1, 3
Determine i so that 1 - i**4 + 5/2*i - 5/2*i**3 + 0*i**2 = 0.
-2, -1, -1/2, 1
Let z(h) = 10*h**2 - 10*h. Let l(c) be the second derivative of c**4/12 - c**3/6 - 11*c. Let p(q) = 5*l(q) - z(q). Let p(i) = 0. What is i?
0, 1
Let w be 260/30 + -9 + 1/2. Factor 0 + 0*j + 0*j**2 + w*j**3.
j**3/6
Determine l, given that -2/19 + 0*l**2 + 4/19*l + 2/19*l**4 - 4/19*l**3 = 0.
-1, 1
Let 2/13*s**3 + 136/13 + 274/13*s + 140/13*s**2 = 0. What is s?
-68, -1
Determine j, given that -6 + 172*j**4 - 32*j**2 + 6 - 20*j**5 - 70*j + 92*j**3 - 140*j**2 - 2*j = 0.
-1, -2/5, 0, 1, 9
Let w(r) be the third derivative of -r**5/60 - r**3/6 + 9*r**2. Let q(a) = -21*a**2 - 9*a - 24. Let k(c) = -q(c) + 18*w(c). Factor k(g).
3*(g + 1)*(g + 2)
Let x(l) = 2*l**3 - 21*l**2 + 10*l. Let r be x(10). Let z be 2/(-16)*-6 - r. Factor -3/4 - 3/2*w - z*w**2.
-3*(w + 1)**2/4
Let x = -47 + 52. Factor 2*k**2 + 4*k**5 - 2*k**5 - 8*k**x - 2*k**3 + 8*k**5 - 2*k**4.
2*k**2*(k - 1)**2*(k + 1)
Let v(c) be the third derivative of c**7/105 - 16*c**5/15 + 256*c**3/3 - 793*c**2. Factor v(n).
2*(n - 4)**2*(n + 4)**2
Let q(b) = b**3 - 8*b**2 - 9*b - 8. Let r be q(9). Let x = 11 + r. Solve 2/11*k**5 + 0*k**x + 0*k**2 + 0 - 2/11*k**4 + 0*k = 0 for k.
0, 1
Suppose 0 = -9*n + 38 - 11. Let s be -3*n*2/(-72). Let -3/4*w**2 + 3/4*w + 1/4*w**3 - s = 0. What is w?
1
Let m(j) be the third derivative of j**8/1344 + j**7/252 - 4*j**4/3 + 6*j**2. Let g(s) be the second derivative of m(s). Factor g(k).
5*k**2*(k + 2)
Let n(t) be the second derivative of -8*t + 0 + 1/285*t**6 - 5/114*t**4 + 0*t**2 - 1/19*t**3 - 1/190*t**5. Factor n(x).
2*x*(x - 3)*(x + 1)**2/19
Let a(c) be the third derivative of c**8/168 + c**7/35 - c**6/10 - c**5/3 + 7*c**4/4 - 3*c**3 - 4*c**2. Factor a(l).
2*(l - 1)**3*(l + 3)**2
Suppose 5*g + 30 = -j, 3*g = 2*g - 5. Let r(d) = 7*d**3 + 3*d**2 + 5*d. Let o(h) = 20*h**3 + 8*h**2 + 14*h. Let t(m) = j*o(m) + 14*r(m). Factor t(s).
-2*s**2*(s - 1)
Let m = 17 + -8. Let b be (-12)/(-60) + m/5. Factor -105*s**4 - 2*s + 3*s**3 + b*s + 3*s**5 + 99*s**4.
3*s**3*(s - 1)**2
Let o = 130 + -125. Determine l so that 3*l**2 - 4*l**3 + o*l**2 + 4*l + 141 - 149 = 0.
-1, 1, 2
Factor 21*m + 16*m**2 - 1490*m**3 - 12*m**2 + 1489*m**3.
-m*(m - 7)*(m + 3)
Factor -32*c**2 + 1/2*c**5 + 15/2*c**4 + 0*c + 0 + 24*c**3.
c**2*(c - 1)*(c + 8)**2/2
Suppose -10*s = -6*s + 4. Let f(n) = -n. Let b = 12 - 6. Let a(u) = -2*u**3 + 6*u**2 - 12*u + 2. Let c(z) = b*f(z) + s*a(z). Factor c(x).
2*(x - 1)**3
Let p(u) be the first derivative of -45/4*u**2 - 3/40*u**5 - 37 - 27/2*u - 15/16*u**4 - 37/8*u**3. Factor p(o).
-3*(o + 2)**2*(o + 3)**2/8
Suppose -3*n - 72 = -5*n. Factor -4*h**2 - 53*h + 29*h + 8*h**2 + n.
4*(h - 3)**2
Suppose -2*a + 2 + 2 = 0. Find z such that -9*z + 3 + 294*z**3 - 54*z**2 + 3 - 87*z**a + 147*z**3 - 297*z**4 = 0.
-2/11, 1/3, 1
Let u(z) be the first derivative of 5*z**3/3 - 5*z**2 - 15*z - 110. Factor u(v).
5*(v - 3)*(v + 1)
Let y(x) = -6*x - 22. Suppose 5*o - 13*o - 32 = 0. Let t be y(o). What is j in 0 - 2*j**3 + 5/2*j**t - 1/2*j = 0?
0, 1/4, 1
Let x be 3 + (-2)/((-8)/(-12)). Let h = -6 - -11. Factor -w**5 + 0*w**4 + 4*w**h - 3*w**3 + x*w**4.
3*w**3*(w - 1)*(w + 1)
Let w(x) = 3*x**5 - 4*x**4 - 3*x**3 - 4. Let l(h) = 4*h**5 - 5*h**4 - 4*h**3 - 5. Suppose 3*s = -0*s - 15. Let r(u) = s*w(u) + 4*l(u). Factor r(n).
n**3*(n - 1)*(n + 1)
Let b(u) = u**2 - 11*u + 5. Let s(h) = 3*h**2 - 23*h + 10. Let m(o) = -5*b(o) + 2*s(o). Let p(f) = -5*f + 3. Let w(c) = 3*m(c) + 5*p(c). Factor w(r).
r*(3*r + 2)
Let b be (-3 + 25/10)*6*-1. Let i(c) be the second derivative of -5*c + 0 + 0*c**2 + 1/70*c**5 - 1/21*c**b + 0*c**4. Factor i(g).
2*g*(g - 1)*(g + 1)/7
Let i be (-3)/27 + 1*(0 + 1). What is l in 0 + 0*l**2 - 2/9*l**3 + i*l**4 + 0*l = 0?
0, 1/4
Let u = 159/11 + -625/44. Factor 0 + 5/4*b**2 + u*b**4 + 1/2*b + b**3.
b*(b + 1)**2*(b + 2)/4
Let i(p) be the first derivative of 24 - 3/10*p - 1/40*p**4 - 7/20*p**2 - 1/6*p**3. Let i(u) = 0. What is u?
-3, -1
Let d(u) be the first derivative of -1/60*u**5 + 1/3*u**3 + 0*u - 3/2*u**2 - 3 - 1/24*u**4. Let y(v) be the second derivative of d(v). What is b in y(b) = 0?
-2, 1
Factor 8/3*s + s**2 - 1.
(s + 3)*(3*s - 1)/3
Let w = 33163 + -165794/5. Factor -3/5*b**2 + w*b - 18/5.
-3*(b - 6)*(b - 1)/5
Let w(q) be the second derivative of -q**7/168 + 3*q**5/40 + q**4/6 + q**3/8 - q + 92. Factor w(a).
-a*(a - 3)*(a + 1)**3/4
Let o = -1481 - -1484. Suppose -2*v**2 - 2/3*v**4 + 0 - 2*v**o - 2/3*v = 0. Calculate v.
-1, 0
Let w be (24/(-21))/(12/(-42)). Let b(k) = 8 + 0*k**2 - 2*k - 2*k**2 - 4*k**2. Let h(i) = -5*i**2 - 2*i + 7. Let c(t) = w*h(t) - 3*b(t). Factor c(r).
-2*(r - 1)*(r + 2)
Let k(y) = -9*y - 609. Let w be k(-68). Suppose 21/8*p**4 + 0 + 15/8*p**5 + 0*p - w*p**3 - 3/2*p**2 = 0. Calculate p.
-2, -2/5, 0, 1
Let f = -385 + 387. Let s(q) be the third derivative of 0 - 1/54*q**4 + 0*q + 1/270*q**5 + q**f + 0*q**3. Let s(d) = 0. Calculate d.
0, 2
Let s(o) be the first derivative of -o**7/1680 - o**6/720 + o**5/120 - 8*o**3/3 + 14. Let l(c) be the third derivative of s(c). Solve l(w) = 0 for w.
-2, 0, 1
Let k(v) be the second derivative of 3/5*v**5 + 0 - 5*v - 2/15*v**6 - v**4 + 0*v**2 + 2/3*v**3. Factor k(z).
-4*z*(z - 1)**3
Let s(l) be the first derivative of -3/4*l**2 - 3*l + 5/4*l**6 + 5*l**3 - 3/2*l**4 - 12/5*l**5 - 11. What is p in s(p) = 0?
-1, -2/5, 1
Let u(r) = 3*r**2 + 16*r - 27. Let o(l) be the second derivative of 1/3*l**4 + 4*l**3 - 41/2*l**2 + 0 - 3*l. Let x(b) = 5*o(b) - 7*u(b). Factor x(z).
-(z - 4)**2
Let i = -13/21 + 24/35. Let o(f) be the first derivative of 1/12*f**4 - 1/6*f**2 + 0*f - 7 + i*f**5 - 1/9*f**3. Factor o(d).
d*(d - 1)*(d + 1)**2/3
Let t(o) be the third derivative of 3*o**6/20 + o**5/15 - 3*o**4/4 - 2*o**3/3 + 281*o**2. What is n in t(n) = 0?
-1, -2/9, 1
Let m(q) = -q**2 - q + 10. Let t(y) = y - 1. Let z(s) = m(s) - 4*t(s). Factor z(u).
-(u - 2)*(u + 7)
Suppose 4*t - 5*p = 8*t - 130, 0 = -t + 4*p + 22. Let j be t/(-75) + (-2)/(-5). Solve -u + 1/2*u**2 + 1/2*u**3 + j = 0 for u.
-2, 0, 1
Let a(m) be the third derivative of m**7/70 - 9*m**6/80 + m**5/20 + 9*m**4/16 - m**3 + 2*m**2 - 14. What is r in a(r) = 0?
-1, 1/2, 1, 4
Let p be -3*(-1 + 2)*-1. Let f(m) = -m**4 + m**2 - 1. Let j(l) = 3*l**4 - 7*l**3 + 15*l**2 - 17*l + 8. Let w(g) = p*j(g) + 6*f(g). Factor w(n).
3*(n - 3)*(n - 2)*(n - 1)**2
Factor 218/7*a + 73/7 + 216/7*a**2 + 10*a**3 - 1/7*a**4.
-(a - 73)*(a + 1)**3/7
Let l(d) be the second derivative of 7*d**6/120 + 13*d**5/16 + 41*d**4/16 - 145*d**3/24 - 25*d**2/4 - 41*d - 2. Factor l(k).
(k - 1)*(k + 5)**2*(7*k + 2)/4
Let m be 36/(-90)*(-5)/12. Let s(g) be the second derivative of 0 - 5*g + 0*g**2 + m*g**3 + 27/80*g**5 - 1/2*g**4. Find p, given that s(p) = 0.
0, 2/9, 2/3
Let q = 60662 - 60658. Determine b, given that 4/5*b**5 + 12/5*b**2 - 12/5*b**q - 4/5*b**3 + 0*b + 0 = 0.
-1, 0, 1, 3
Let h(o) = o**3 + 3*o**2 - 2*o - 1. Suppose 3*v = 159 - 162. Let w(t) = 2*t + 1. Let q(b) = v*h(b) - w(b). Find l, given that q(l) = 0.
-3, 0
Factor -80 + 40 + 120 - 80*k + 15*k**2.
5*(k - 4)*(3*k - 4)
Determine q so that 208953*q - 208993*q - 96 + 0*q**2 - 4*q**2 = 0.
-6, -4
Let x be ((-12)/(-15))/(4/20). Let l(y) be the first derivative of 0*y**2 + 0