l**5.
-5*l**4*(l + 1)
Factor -123*v**3 - 10*v**2 - 6*v**2 + 107*v**3 + 2*v**2 + 2*v.
-2*v*(v + 1)*(8*v - 1)
Let u be (-4)/(-7) - 80/(-7). Let n = -1 + u. Factor -d - 6*d + d + d**2 - 2 + n.
(d - 3)**2
Let y(f) be the third derivative of 1/60*f**5 + 0*f + 3/2*f**3 + 11*f**2 + 0 - 1/4*f**4. Factor y(j).
(j - 3)**2
Let z(w) be the first derivative of -w**4/24 + 59*w**3/6 - 3481*w**2/4 + 205379*w/6 + 59. Factor z(u).
-(u - 59)**3/6
Let k be -6 + (-2118)/(-255) + 8/20. Suppose -k*b**4 + 4/17*b + 54/17*b**3 - 26/17*b**2 + 14/17*b**5 + 0 = 0. Calculate b.
0, 2/7, 1
Let n(u) be the second derivative of -u**6/20 + 13*u**5/90 - 2*u**4/27 - 4*u**3/27 + 20*u**2 - 6*u. Let m(w) be the first derivative of n(w). Solve m(y) = 0.
-2/9, 2/3, 1
Suppose 4*b + s = -32, -b + 4*s = b + 34. Let k be (8 + 96/b)/(-1 - 0). Factor -k*h - 16/3 - 1/3*h**2.
-(h + 4)**2/3
Let m(z) be the third derivative of z**5/100 + 97*z**4/10 + 18818*z**3/5 - z**2 - 99. Factor m(s).
3*(s + 194)**2/5
Let b(y) be the first derivative of -1/4*y**2 + 1/8*y**4 + 0*y + 0*y**3 - 24. Determine v so that b(v) = 0.
-1, 0, 1
Let d(l) be the third derivative of -l**11/997920 + l**9/181440 + 37*l**5/60 + 39*l**2. Let a(v) be the third derivative of d(v). Factor a(y).
-y**3*(y - 1)*(y + 1)/3
Let x be 1060/(-210)*3 - -16. Suppose -96/7*l**2 - 114/7*l**3 - x - 15/7*l**5 - 39/7*l - 66/7*l**4 = 0. Calculate l.
-1, -2/5
Let n be (2/15*5 - 0)*3. Factor -n*l + 5*l + 7*l**2 - 19*l**2.
-3*l*(4*l - 1)
Let x(q) be the third derivative of q**7/420 + q**6/180 - q**5/60 - q**4/12 + 11*q**3/6 - 7*q**2. Let o(k) be the first derivative of x(k). Factor o(v).
2*(v - 1)*(v + 1)**2
Let h(x) be the third derivative of x**9/90720 - x**8/40320 - x**4/24 + 5*x**2. Let t(i) be the second derivative of h(i). Determine j so that t(j) = 0.
0, 1
Let v(m) be the first derivative of -3/11*m**2 + 23 + 0*m + 2/33*m**3. Let v(f) = 0. What is f?
0, 3
Let l(f) be the first derivative of -f**7/105 + f**6/60 + f**5/30 - f**4/12 - 23*f**2 + 33. Let n(x) be the second derivative of l(x). Factor n(w).
-2*w*(w - 1)**2*(w + 1)
Solve 0 + 36/5*f**3 + 0*f**2 + 0*f + 39/5*f**4 + 3/5*f**5 = 0.
-12, -1, 0
Let n(w) be the first derivative of -12*w**5/5 - 8*w**4 + 20*w**3/3 + 12*w**2 - 121. Factor n(d).
-4*d*(d - 1)*(d + 3)*(3*d + 2)
Suppose x**4 + 4*x**5 + 25*x**3 - 26*x**3 + 0*x**4 - 3*x**5 - x**2 = 0. Calculate x.
-1, 0, 1
Let m(t) be the first derivative of 0*t**3 - 3/100*t**5 - 2*t + 7 + 0*t**2 - 1/20*t**4. Let q(a) be the first derivative of m(a). Factor q(b).
-3*b**2*(b + 1)/5
Let j(o) be the first derivative of -o**6/16 + 21*o**4/32 - 3*o**3/4 - 63. Find u, given that j(u) = 0.
-3, 0, 1, 2
Let n(q) be the first derivative of 2*q**5/15 + q**4/2 + 2*q**3/3 + q**2/3 + 130. Factor n(h).
2*h*(h + 1)**3/3
Suppose -2*x = -9*x + 21. Let z be 80/56*28/8. Suppose -4/3*g**2 + 0*g - 8/3*g**4 - 10/3*g**x + 0 - 2/3*g**z = 0. What is g?
-2, -1, 0
Let h(l) be the second derivative of l**4/28 + 6*l**3/7 + 94*l. Determine u, given that h(u) = 0.
-12, 0
Let w(f) = -15*f**4 + 3*f**3 + 16*f**2 - 8*f. Let s(y) = 21*y**4 - 32*y**2 - y**3 - 6*y**3 - 6*y + 10*y**4 + 22*y. Let r(l) = -3*s(l) - 5*w(l). Factor r(h).
-2*h*(h + 1)*(3*h - 2)**2
Let u(v) be the second derivative of 1/60*v**4 - 1/100*v**5 + 0*v**2 + 1/15*v**3 + 0 - 3*v. Factor u(s).
-s*(s - 2)*(s + 1)/5
Let s(c) be the first derivative of 0*c**2 + 1/5*c**5 + 0*c + 0*c**4 - 16 + 0*c**3 - 1/6*c**6. Find u, given that s(u) = 0.
0, 1
Let a be ((-6)/(-9))/(4/18). Let g be 3*a/63 - (-12)/210. Determine y, given that g*y**2 + 0 - 1/5*y = 0.
0, 1
Let m(u) be the third derivative of u**8/1008 - u**7/210 + u**6/120 - u**5/180 + u**2 + 6*u. Factor m(s).
s**2*(s - 1)**3/3
Suppose 0 = 3*g - 4*k - 26, 4*g + k - 40 - 20 = 0. Let b be 0*(2/6)/(g/(-21)). Factor 2/5*c**2 + b*c + 0.
2*c**2/5
Let y(b) be the first derivative of -b**3/12 + 115*b**2/4 - 13225*b/4 + 365. Factor y(z).
-(z - 115)**2/4
Let w = 249/2 - 134. Let z = -28/3 - w. Factor 1/3*y**2 + z*y**3 + 1/6*y + 0.
y*(y + 1)**2/6
Solve -1/9*a**3 + 25 - 65/3*a - 29/9*a**2 = 0.
-15, 1
Find f such that 5*f**2 + 153*f - f**2 - 141*f = 0.
-3, 0
Let p(k) = k. Let g(a) be the third derivative of a**5/20 + a**4/12 - 3*a**3/2 - 21*a**2. Let x(d) = -g(d) - 4*p(d). Determine j, given that x(j) = 0.
-3, 1
Factor 0*o - 10/13*o**3 - 2/13*o**5 - 100/13*o**2 + 16/13*o**4 + 0.
-2*o**2*(o - 5)**2*(o + 2)/13
Let u(q) = -14*q**3 - 48*q**2 - 50*q - 16. Let s(i) = -6*i**3 - 23*i**2 - 25*i - 8. Let z(b) = 15*s(b) - 6*u(b). Let z(x) = 0. Calculate x.
-8, -1, -1/2
Let s(l) be the first derivative of 22*l**2 - 36/5*l**5 + 44/3*l**3 + 8*l - 15*l**4 + 11. Suppose s(u) = 0. Calculate u.
-2, -1/3, 1
Let o(x) be the first derivative of -x**6/15 - x**5/40 + x**4/6 + x**3/12 + x + 1. Let c(w) be the first derivative of o(w). Factor c(t).
-t*(t - 1)*(t + 1)*(4*t + 1)/2
Suppose 0 = 2190*x - 2185*x. Solve -q**2 + 1/4*q**5 + 0 - 9/4*q**3 + 3*q + x*q**4 = 0 for q.
-2, 0, 1, 3
Let h(n) be the first derivative of 52*n**2 - 174/5*n**5 - 260/3*n**3 + 19 + 155/2*n**4 + 6*n**6 - 16*n. Determine j so that h(j) = 0.
1/2, 2/3, 1, 2
Let a = 290 - 290. Let i(c) be the second derivative of 0 - 1/10*c**3 + 5*c + 1/50*c**6 + 3/100*c**5 + a*c**2 - 1/20*c**4. Factor i(f).
3*f*(f - 1)*(f + 1)**2/5
Let t(g) be the second derivative of g**8/2240 - g**6/80 - g**5/20 - 5*g**4/4 - 15*g. Let i(h) be the third derivative of t(h). Factor i(f).
3*(f - 2)*(f + 1)**2
Let o be -3 + 4/14 + (-108 - -6). Let i = o - -105. Let -4/7*a + 0*a**2 + 4/7*a**3 - 2/7 + i*a**4 = 0. What is a?
-1, 1
Let m be (32/40)/(1/5). Factor 14*u - 19*u**3 + 9*u**3 + 5 - m*u - 5*u**4.
-5*(u - 1)*(u + 1)**3
Let -6/5*r + 3/5*r**2 - 144/5 = 0. What is r?
-6, 8
Factor 0 - 6/5*u + 2/5*u**3 - 4/5*u**2.
2*u*(u - 3)*(u + 1)/5
Let a = -2900302/16233 - -2/5411. Let x = a - -179. Factor -1/3*r**3 - 1/3*r**4 + 1/3*r**2 + 0 + 0*r + x*r**5.
r**2*(r - 1)**2*(r + 1)/3
What is g in 48 + 33*g + 2/3*g**2 = 0?
-48, -3/2
What is p in 5/3*p**3 + 2 - 7/3*p - 8/3*p**2 = 0?
-1, 3/5, 2
Factor 2 + 3 + 113*k**3 - 55*k**4 + 50*k**2 + 25*k**5 + 2*k - 37*k - 103*k**3.
5*(k - 1)**3*(k + 1)*(5*k - 1)
Let l(o) be the second derivative of o**7/21 - o**6/5 - 9*o**5/10 - 5*o**4/6 - 158*o. Factor l(m).
2*m**2*(m - 5)*(m + 1)**2
Let s be 5 + -7 - (-1)/(7/(-62)). Let y = 298/21 + s. Solve -y*i**4 - 32/3*i**2 + 0 + 34/3*i**3 + 8/3*i = 0.
0, 2/5, 1, 2
Let y(j) be the second derivative of -5*j**7/2268 + j**6/81 - 4*j**5/135 - j**4/2 - 3*j**2/2 + 2*j - 7. Let t(q) be the third derivative of y(q). Factor t(v).
-2*(5*v - 4)**2/9
Factor 882*a**5 - 7*a**3 - 877*a**5 + 2*a**3.
5*a**3*(a - 1)*(a + 1)
Let r(f) = -2*f**3 + 13*f**2 + 64*f - 5. Let b(w) = w**3 - 5*w**2 - 32*w + 3. Let y(o) = -5*b(o) - 3*r(o). Factor y(m).
m*(m - 16)*(m + 2)
Let c(i) be the first derivative of 0*i - 8/25*i**5 - 3/5*i**4 - 1/5*i**2 - 1/15*i**6 - 2 - 8/15*i**3. Solve c(z) = 0 for z.
-1, 0
Let i be 14 + (-356)/12 + 19. Factor -4/3 - i*m**3 - 2/3*m + 16/3*m**2.
-2*(m - 1)**2*(5*m + 2)/3
Let u(q) = 3*q**4 - 11*q**3 + 9*q**2 + 3*q + 4. Let h(k) = 5*k**4 - 21*k**3 + 16*k**2 + 7*k + 7. Let w(r) = -4*h(r) + 7*u(r). Factor w(d).
d*(d - 1)*(d + 1)*(d + 7)
Factor 73*k - 139*k**2 - 72 + 275*k + 293*k**2 + 88*k - 178*k**2.
-4*(k - 18)*(6*k - 1)
Let o(d) = -d**3 - 14*d**2 + 28*d - 61. Let p be o(-16). Factor -2/11*m**2 + 0 + 8/11*m - 8/11*m**p + 2/11*m**4.
2*m*(m - 4)*(m - 1)*(m + 1)/11
Let r(n) be the third derivative of -5*n**2 + 0 + 2/735*n**7 - 2/105*n**6 + 0*n + 2/35*n**5 + 2/21*n**3 - 2/21*n**4. Suppose r(l) = 0. Calculate l.
1
Let k(y) = -11*y**4 + 104*y**3 + 1836*y**2 + 11547*y + 9813. Let t(s) = -5*s**4 + 52*s**3 + 918*s**2 + 5774*s + 4907. Let a(n) = -6*k(n) + 13*t(n). Factor a(p).
(p + 1)*(p + 17)**3
Solve 17*l**2 + 873*l + 143*l - 5*l**2 - 227*l - 98 - 100 = 0 for l.
-66, 1/4
Let c(h) be the third derivative of 15*h**2 + 0 + 0*h - 2/3*h**5 - 5/24*h**6 - 5*h**3 + 95/24*h**4. Suppose c(f) = 0. Calculate f.
-3, 2/5, 1
Let l(b) = -b**2 - 3*b. Let y be l(-2). Factor -8*m - 72*m**2 - 81*m**2 + 157*m**y.
4*m*(m - 2)
Suppose 13 - 45*l + 5*l + 5*l**2 + 19 + 28 = 0. What is l?
2, 6
Let h(p) be the third derivative of 5*p**8/336 - 5*p**7/21 + 4*p**6/3 - 8*p**5/3 - 438*p**2. What is m in h(m) = 0?
0, 2, 4
Let u(t) = 17*t - 918. Let w be u(54).