l) + o*j(l). Factor s(i).
-4*(i - 1)**2*(i + 1)
Let k(r) be the second derivative of -r**7/420 + 3*r**5/200 + r**4/60 + r - 806. Factor k(z).
-z**2*(z - 2)*(z + 1)**2/10
Let l(s) be the first derivative of -40*s**3/3 + 795*s**2/2 + 945*s + 4103. Solve l(a) = 0.
-9/8, 21
Let f(b) be the third derivative of -b**5/12 + 85*b**4/3 + 685*b**3/6 + b**2 + 248*b. Factor f(x).
-5*(x - 137)*(x + 1)
Let c(a) be the second derivative of -a**5/180 + a**4/12 + 247*a**2/2 + 277*a. Let k(n) be the first derivative of c(n). Determine t so that k(t) = 0.
0, 6
Let l(o) = 246*o**2 + 20901*o - 45. Let w(s) = 11*s**2 + 950*s - 2. Let r(a) = 2*l(a) - 45*w(a). Factor r(f).
-3*f*(f + 316)
Let h(t) = -4562*t - 31932. Let z be h(-7). Suppose 5*u = 3*j + 3, u = -3*u + j + 1. Let u - 2/9*y - 2/9*y**z = 0. What is y?
-1, 0
Let j(u) be the first derivative of 7/9*u**4 - 89 - 50/27*u**3 + 4/3*u**2 - 2/45*u**5 + 0*u. Factor j(f).
-2*f*(f - 12)*(f - 1)**2/9
Factor 1/4*b**2 + 8*b + 0.
b*(b + 32)/4
Let f(k) be the first derivative of 4*k**5/5 - 33*k**4 - 92*k**3 - 70*k**2 + 1485. Let f(x) = 0. What is x?
-1, 0, 35
Let b(q) be the second derivative of -13/3*q**3 + 1 - 25/2*q**2 - 1/12*q**4 + 17*q. Suppose b(c) = 0. Calculate c.
-25, -1
Factor 3/5*k**2 + 96 - 132/5*k.
3*(k - 40)*(k - 4)/5
Let m(p) be the first derivative of -p**6/345 + p**5/46 - 7*p**4/138 + p**3/23 - 97*p + 6. Let g(j) be the first derivative of m(j). Factor g(d).
-2*d*(d - 3)*(d - 1)**2/23
Let q(j) be the first derivative of j**4/18 - 34*j**3/27 + 1234. Factor q(a).
2*a**2*(a - 17)/9
Let j(r) be the first derivative of -r**3/6 - 1559*r**2/8 + 195*r + 10719. Factor j(q).
-(q + 780)*(2*q - 1)/4
Let b(k) = -12*k**2 + 58*k - 390. Let g(i) = -9*i**2 + 59*i - 390. Let j(v) = -4*b(v) + 5*g(v). Factor j(p).
3*(p - 5)*(p + 26)
Let w(p) = -1 - 15*p - 1432*p**2 + 1407*p**2 + 1. Let d(h) = h**3 - h**2. Let k(x) = 5*d(x) - w(x). Suppose k(i) = 0. Calculate i.
-3, -1, 0
Suppose 0 = -2*p + 28 + 24. Suppose p*r = 18*r + 16. Factor -16*m + 45*m**4 - 8*m**r - 49*m**4 + 12 - 16*m**3 + 32*m.
-4*(m - 1)*(m + 1)**2*(m + 3)
Let z(x) be the first derivative of -2*x**6/15 + 2*x**5/5 - 32*x + 36. Let a(q) be the first derivative of z(q). Find j, given that a(j) = 0.
0, 2
Let r = 2268301/300 - 7561. Let j(i) be the third derivative of -1/150*i**5 + 1/525*i**7 + 0*i**3 - r*i**6 + 0 - 9*i**2 + 1/60*i**4 + 0*i. Factor j(v).
2*v*(v - 1)**2*(v + 1)/5
Let u be ((-36)/7)/(-7*(-3)/(-1617)). Factor 49*n + 265*n - 61*n**2 + 76 + 4*n**3 - 90*n + 9*n**2 - u.
4*(n - 5)*(n - 4)**2
Suppose -29*a - 2*t - 12 = -30*a, 5*t = -3*a - 19. Factor 1371*k**2 - 728*k**a - 12*k**3 - k**4 - 715*k**2 + 5*k**4.
4*k**2*(k - 6)*(k + 3)
Let x(h) be the third derivative of h**6/480 + 83*h**5/240 + 163*h**4/96 + 27*h**3/8 - 941*h**2. Suppose x(v) = 0. Calculate v.
-81, -1
Let r(h) = 10*h**3 + 1040*h**2 + 23671*h - 181521. Let y(i) = -5*i**3 - 520*i**2 - 11837*i + 90762. Let w(l) = -4*r(l) - 7*y(l). Factor w(o).
-5*(o - 6)*(o + 55)**2
Let y(t) = -3*t**2 + t - 2. Let i(j) = -15*j**2 + 85*j - 494. Let a(h) = -i(h) + 4*y(h). Factor a(o).
3*(o - 18)*(o - 9)
Let w(v) be the third derivative of v**5/20 + 1277*v**4/4 + 1630729*v**3/2 - 3*v**2 + 120. Factor w(c).
3*(c + 1277)**2
Let y = -13019/7 - -299479/161. Factor -4/23 + 0*c**2 + 2/23*c**3 - y*c.
2*(c - 2)*(c + 1)**2/23
Let s(o) be the third derivative of -43/48*o**4 + 1/120*o**5 + 0 + 23*o - 4*o**2 + 0*o**3. Solve s(z) = 0 for z.
0, 43
Let c be (-24539)/463 - (-160)/3. Factor 1/6*d**3 + c*d**2 + 1/6*d + 0.
d*(d + 1)**2/6
Let z(h) be the third derivative of -h**8/1008 - 29*h**7/210 - 1009*h**6/180 - 91*h**5/3 - 49*h**4 - h**2 - 53*h - 3. Solve z(y) = 0.
-42, -2, -1, 0
Let q be (436/16350)/((-30)/(-375)). Suppose 0 = -3*x + 5*i + 4, 0 = -2*x - i - 4 + 11. Factor -q*m**x + 2/9*m**4 + 4/9*m + 0 + 1/9*m**5 - 4/9*m**2.
m*(m - 1)**2*(m + 2)**2/9
Suppose p - l + 8 = 0, 2*p + 3*l - 18 = 6. Factor 8/3*i + 2*i**2 + p - 2/3*i**3.
-2*i*(i - 4)*(i + 1)/3
Let o = -60495 - -121857/2. Solve 6 + 102*v + o*v**2 = 0 for v.
-2/17
Let h(b) be the second derivative of -3*b**5/20 + 7*b**4/4 + 2*b**3 - 42*b**2 - 5793*b. Factor h(l).
-3*(l - 7)*(l - 2)*(l + 2)
Let b(m) = 13*m**2 - 5*m + 18 - 46*m - 4*m**3 + 0*m**3 + 6*m + 3*m**3. Let u be b(6). Factor u + 1/10*s**2 - 3/10*s.
s*(s - 3)/10
Let x = 63607/14691 + 18/4897. Suppose x - 1/3*y**2 - 4*y = 0. What is y?
-13, 1
Let c(f) = f**2 - 6*f + 14. Let m = 31 - 25. Let o be c(m). Determine q, given that -5 - 115*q**2 - o*q + 95*q**2 - 5 - 5*q**3 - 11*q = 0.
-2, -1
Solve 1992*v**2 - 318*v**2 + 832*v**3 + 0*v**5 + 60*v**4 - 73728*v - 4298*v**2 - 4*v**5 - 4800*v**2 - 65536 = 0 for v.
-8, -1, 16
Let s(z) be the first derivative of -2*z**3/27 + 14*z**2/9 - 80*z/9 + 5914. Factor s(w).
-2*(w - 10)*(w - 4)/9
Let i(h) be the third derivative of -h**6/480 + h**5/24 - 17*h**4/96 + h**3/3 + 1116*h**2. Factor i(v).
-(v - 8)*(v - 1)**2/4
Suppose 24*l - 17*l = 196. Let k = -25 + l. Factor a - 7*a**3 - 2*a**5 + 13*a**k - 4*a - a**5.
-3*a*(a - 1)**2*(a + 1)**2
Let i be (5 - -1)*8/(-24). Let m be ((-37)/(-74))/((-1)/(i*2)). Let 96/7*n + 128/7 + 24/7*n**m + 2/7*n**3 = 0. Calculate n.
-4
Let n(l) be the third derivative of l**5/12 - 55*l**4/24 + 70*l**3/3 - 3*l**2 + 2*l + 298. Solve n(b) = 0.
4, 7
Suppose 43*j = 198*j. Let v(f) be the second derivative of 0*f**6 + 0 + 1/14*f**7 - 22*f - 3/20*f**5 + 0*f**3 + 0*f**2 + j*f**4. Factor v(z).
3*z**3*(z - 1)*(z + 1)
Factor 0 - 3/2*s**5 + 0*s**2 - 6*s**4 + 0*s + 15/2*s**3.
-3*s**3*(s - 1)*(s + 5)/2
Let s(i) = -2*i**2 - 28*i - 30. Let l be s(-13). Let k be -14 - -15 - ((-5)/l - 1). Factor z + 1/4*z**2 + k.
(z + 1)*(z + 3)/4
Factor v**3 + 6743*v - 33611 + 446*v - 3835 - 164*v**2.
(v - 79)**2*(v - 6)
Let m(q) be the second derivative of -3*q**5/140 - 59*q**4/14 + 242*q**3/7 - 732*q**2/7 - 2*q + 1430. Factor m(i).
-3*(i - 2)**2*(i + 122)/7
Let y(r) be the first derivative of r**5/20 + 9*r**4/8 - 13*r**3/4 + 5*r**2/2 + 5151. Factor y(p).
p*(p - 1)**2*(p + 20)/4
Let r(s) be the first derivative of -50/9*s**3 - 8/3*s - 16/3*s**2 - 1/9*s**6 - 14/15*s**5 - 66 - 19/6*s**4. Factor r(o).
-2*(o + 1)**3*(o + 2)**2/3
Let d be 20340/1017 - 52/3. Factor 0 + d*g**2 - 2*g**3 + 1/3*g**4 + 0*g.
g**2*(g - 4)*(g - 2)/3
Let n(h) be the first derivative of h**4/12 - 196*h**3/9 - h**2/6 + 196*h/3 - 1636. Solve n(w) = 0 for w.
-1, 1, 196
Let a = -98316 + 98318. Suppose 2*k - 4*s = -5 - 7, -4*k - 4*s = -12. What is x in 2/19*x**3 + k + 0*x - 2/19*x**4 + 4/19*x**a = 0?
-1, 0, 2
Factor 2/3*g**2 + 152/3 - 80/3*g.
2*(g - 38)*(g - 2)/3
Let g be (3*5/(-45))/((-110)/660). Factor -1/2*y**3 + 0*y + 0 - 3/2*y**g.
-y**2*(y + 3)/2
Let i = -575271/28 - -143858/7. Factor -45/8 - 1/8*j**2 - i*j.
-(j + 1)*(j + 45)/8
Suppose 3*l - 4 = 4*s, -3*s + 0 - 2 = -2*l. Suppose -l*p + 1391 = 5*j, p - 4*j = -2*p + 1020. Determine u so that p*u - 9 + 3*u**2 - 685*u + 347*u = 0.
-3, 1
Let h(k) be the third derivative of -k**6/120 - k**4/24 + 5*k**2 - 2*k. Let x(r) = 6*r**3 - 2*r**2 + 6*r. Let z(n) = 5*h(n) + x(n). Factor z(t).
t*(t - 1)**2
Let g(s) be the third derivative of -s**6/40 + 107*s**5/10 - 11449*s**4/8 - 261*s**2. Factor g(u).
-3*u*(u - 107)**2
Let a be (-2736)/(-1332) + -9 + (-3641)/(-407). Let 8*y**a + 4/5*y**3 + 0 + 20*y = 0. What is y?
-5, 0
Let q(m) = m**3 - 27*m**2 - 180*m + 3538. Let a be q(29). Factor a*x + 0 - 1/6*x**3 - 2*x**2.
-x**2*(x + 12)/6
Let q(u) = -30*u**3 + 63*u**2 - 60*u - 6. Let x(p) = p**3 - p**2 + p - 8. Let o(w) = q(w) + 33*x(w). Factor o(a).
3*(a - 3)*(a + 3)*(a + 10)
Suppose 25*x + 315 = 58*x + 72*x. Factor -5/2*n**3 - 4 + 2*n + 1/2*n**4 + x*n**2.
(n - 2)**3*(n + 1)/2
Suppose 5*j - 70 = -5*h, 8 - 11 = -3*h. Factor 21*v + v + 5*v**2 + j + 67 + 18*v.
5*(v + 4)**2
Suppose 2*b - 25 = -3*b - 2*m, -3*b + 19 = 2*m. Suppose 0 - 10 = -5*t. Factor -5*q**t - 2*q + q**2 + 1 + 8*q**2 - b*q**2.
(q - 1)**2
Suppose 2*v + 3 - 6 = -3*x, -2*x = -3*v - 2. Let f be (-1)/((-30)/(-12) - (3 - v)). Factor 10*i**3 + 10*i**3 - 24*i**f + 4*i + i**3 + 49*i**4.
i*(i + 1)*(7*i - 2)**2
Let u(c) be the second derivative of c**5/130 - c**4/78 - 101*c**3/39 - 99*c**2/13 - 6*c - 116. Determine w, given that u(w) = 0.
-9, -1, 11
Let h(m) be the first derivative of 2*m**3/3 - 1793*m**2 + 3584*m - 1115. Factor h(c).
2*(c - 1792)*(c - 1)
Le