 + 60*m + 176 - 30. Let r(y) be the first derivative of -y**3/3 + 30*y**2 + 174*y - 1. Let a(j) = 5*r(j) - 6*s(j). Factor a(p).
-5*(p + 6)**2
Suppose -3*i + 6*l + 26 = 2*l, 2*l = -4*i - 2. What is n in 0*n**i - 5*n**2 - 2*n**3 + n**3 + 13*n**2 = 0?
0, 8
Let f(z) be the third derivative of z**7/840 + z**6/80 + 3*z**5/80 - 73*z**2 + 12*z. Factor f(y).
y**2*(y + 3)**2/4
Let k(s) be the first derivative of 0*s**2 + 0*s**3 + 1/18*s**6 + 0*s + 0*s**4 + 2/15*s**5 - 101. Factor k(d).
d**4*(d + 2)/3
Factor 3297856/3 + 4/3*h**2 + 7264/3*h.
4*(h + 908)**2/3
Let c(q) be the first derivative of 2*q**3/9 + 642*q**2 + 618246*q - 7380. What is d in c(d) = 0?
-963
Let 75*g - 248*g + 111*g + 162*g - 7*g**4 - 216*g**2 + 48 + 75*g**3 = 0. What is g?
-2/7, 1, 4, 6
Suppose 5*z + 2*a = 14, 0 = -5*z - a - 2*a + 16. Suppose d = -7*r + 2*r - 17, -8 = z*r. Factor d + 1/2*g**2 + 5/2*g.
(g + 2)*(g + 3)/2
Let y be (-69675)/50*4/(-3). Factor -v**3 - y + 90*v - 666*v + 1858 - 48*v**2.
-v*(v + 24)**2
Let k(v) be the third derivative of -v**6/72 + 21*v**5/20 - 111*v**4/8 + 159*v**3/2 - 4532*v**2. Factor k(p).
-(p - 3)**2*(5*p - 159)/3
Let d = 2146/65 - 3447/130. What is j in -19/2*j**2 + d*j**3 - 7/2*j**5 - 3*j + 0 + 19/2*j**4 = 0?
-1, -2/7, 0, 1, 3
Determine w so that -251 - 60*w + 840 - 2*w**2 - 752 - 287 = 0.
-15
Let r(t) be the second derivative of -t**7/252 + 8*t**6/9 + 161*t**5/120 + 4*t - 10. Factor r(i).
-i**3*(i - 161)*(i + 1)/6
Let l(r) = -r**2. Suppose 5*c + 4*g = 26, 6*g = 3*g + 12. Let s(i) = 18*i**2 - 7*i**2 + 2 + 3*i + i**c. Let d(u) = -22*l(u) - 2*s(u). Solve d(q) = 0 for q.
-2, -1
Let p be (-12)/120 - (14550/(-500) + 25). Factor 4*b - 3/2*b**3 - 1/2*b**p + 3*b**2 + 0.
-b*(b - 2)*(b + 1)*(b + 4)/2
Let b(s) be the second derivative of -s**5/10 - 14*s**4/9 - 85*s**3/27 + 578*s**2/9 - 4024*s. Factor b(r).
-2*(r - 2)*(3*r + 17)**2/9
Let g(y) be the second derivative of 5*y**4/36 - 5*y**3/3 - 60*y**2 + 6771*y. Factor g(s).
5*(s - 12)*(s + 6)/3
Let g = 406/215 + 22/43. Let o be 24/(-28) - 5952/(-2240). Find q, given that 0*q**2 - o*q**3 + 0 - 3/5*q**4 + g*q = 0.
-2, 0, 1
Suppose -35*q = -34*q - 10. Let v be (-15)/(30/q) + 9. What is a in 0*a + 0 + 1/3*a**v - 2/3*a**3 + 1/3*a**2 = 0?
0, 1
Let k(q) be the second derivative of q**6/15 - 34*q**5/15 + 41*q**4/18 + 68*q**3/9 - 44*q**2/3 + 198*q. Find j, given that k(j) = 0.
-1, 2/3, 1, 22
Let q(g) be the second derivative of g**4/3 + 152*g**3/3 + 137*g. Let q(f) = 0. Calculate f.
-76, 0
Let t be ((-7)/147 + 93/(-1953))/((-2)/150). Factor 1250/7*y - t*y**2 + 2/21*y**3 - 31250/21.
2*(y - 25)**3/21
Let b(k) = 7 - 4*k**2 - 15 - 3*k**2 - 103*k**3 - 6*k + 106*k**3. Let q(w) = -w**2 - 2. Let a(o) = b(o) - 4*q(o). Solve a(u) = 0 for u.
-1, 0, 2
Let d(v) be the second derivative of 13*v**5/10 - 2*v**4 - 5*v**3 + 14*v**2 + 4717*v. Factor d(z).
2*(z - 1)**2*(13*z + 14)
Factor -12*u**2 - 245*u + 37*u**2 - 14*u**2 + 96 - 10*u**2 + 148.
(u - 244)*(u - 1)
Let i(b) = b**2 + 2*b + 1. Let k(c) = -6*c**3 - 1279*c**2 + 1734*c + 1723. Let x(r) = -6*i(r) + 2*k(r). Find y, given that x(y) = 0.
-215, -2/3, 2
Suppose -22*r + 32*r = -790. Let f = r - -79. Let -5*y**3 + 15*y**4 + 0*y + f*y + 198*y**2 - 208*y**2 = 0. Calculate y.
-2/3, 0, 1
Let g(v) = 4*v + 42. Let x be g(-8). Let r be x/6 - 18/(-54). Factor 3*l**4 - 6*l**3 - 9*l + 17*l - r*l**4 + l**4.
2*l*(l - 2)**2*(l + 1)
Suppose -l = 4*j - 2, 2*j + 77*l - 34 = 82*l. Factor 4/5*y**j - 48/5 + 16/5*y.
4*(y - 2)*(y + 6)/5
Let z(b) = b. Let c(i) = -5*i**4 + 25*i**3 - 40*i**2 + 26*i. Suppose -2*t + 14 = 12. Let u(h) = t*c(h) - 6*z(h). Factor u(x).
-5*x*(x - 2)**2*(x - 1)
Suppose 2*n + 8 = 0, 4*y + 4*n + 12 = 6*y. Let x be (-78)/520 - (y - 8/(-5)). Suppose 0 + 0*o**2 + o**3 + 0*o + x*o**4 = 0. What is o?
-4, 0
Let d = -3631 + 14527/4. Let x(n) be the second derivative of 1/14*n**7 + 0 - 1/2*n**4 + d*n**5 - 2/5*n**6 + 0*n**2 - 10*n + 0*n**3. Factor x(h).
3*h**2*(h - 2)*(h - 1)**2
Let n(u) be the third derivative of 1/120*u**6 + 3 + 49/24*u**4 - 7/30*u**5 + 0*u + 4*u**2 + 0*u**3. Factor n(d).
d*(d - 7)**2
Suppose 3/4*o**4 - 225 + 435/4*o + 393/4*o**2 + 69/4*o**3 = 0. What is o?
-15, -5, -4, 1
Suppose -25 = -z + 9*s - 4*s, -4*s = 16. Let j be z/(-8)*4 + 3. Let -18 + 6*c - j*c**2 = 0. Calculate c.
6
Suppose 0 = -n - 25 - 10. Let t = 39 + n. What is m in -5*m**t + 0*m**5 - 19*m**2 + 23*m**2 + 2*m**4 - m**5 = 0?
-2, 0, 1
Let g be (-88)/(-24) - (-1)/3. Factor -58 + 54*x**3 + 49 + 9 - 24*x**g + 3*x**5 - 81*x.
3*x*(x - 3)**3*(x + 1)
Solve -42320/3*l**3 - 508/3*l**4 - 2/3*l**5 - 5088448/3 - 1096672/3*l**2 + 4910944/3*l = 0.
-86, 2
Let w(d) be the third derivative of -d**6/720 - 167*d**5/360 - 331*d**4/144 - 55*d**3/12 - 2*d**2 - d + 213. Factor w(p).
-(p + 1)**2*(p + 165)/6
Let d = -216228 + 432469/2. Factor 1/2*f**4 + d*f - 25/2*f**2 + 0 + 11/2*f**3.
f*(f - 1)**2*(f + 13)/2
Let p(x) be the first derivative of 5*x**4/4 - 50*x**3/3 + 45*x**2/2 - 2124. Factor p(u).
5*u*(u - 9)*(u - 1)
Let l be (-45)/(-150)*15 - 234/52. Suppose 3/8*c**5 + 0 + 0*c**3 + 0*c + l*c**2 - 3/4*c**4 = 0. What is c?
0, 2
Let h be (-28 + 21 - -6)/((-32)/48). Let -8/3 - 25*p**2 + 97/6*p + h*p**3 = 0. What is p?
1/3, 16
Factor -312/7*o - 225/7*o**2 + 108/7 - 3*o**3.
-3*(o + 2)*(o + 9)*(7*o - 2)/7
Suppose u + 3 = 0, 0 = 2*z - 5*z + 2*u + 24. Suppose -23*a + 44 = -a. Suppose -5 + 2*n**2 + z*n**2 + 1 + a*n - 8 + 2*n**3 = 0. Calculate n.
-3, -2, 1
Let w be 163 + 80/(-8) + 2. Let c be 4 - -8*(w/(-30) - -5). Determine l so that 2 + c*l + 2/3*l**2 = 0.
-3, -1
Suppose -4761/4 - 1/4*u**2 + 69/2*u = 0. Calculate u.
69
Let p(s) = 46*s**4 + 12*s**3 - 8*s**2 - 4*s - 8. Let t(h) = 44*h**4 + 13*h**3 - 10*h**2 - 5*h - 10. Let z(x) = 5*p(x) - 4*t(x). Solve z(u) = 0.
-4/27, 0
Suppose 3/5*l**3 - 1839/5*l**2 + 0*l + 0 = 0. Calculate l.
0, 613
Suppose 2 = -7*m + 100. Let z(t) = -18*t**3 + 13*t**2 + 11*t - 27. Let g(v) = 8*v**3 - 7*v**2 - 5*v + 13. Let d(b) = m*g(b) + 6*z(b). Factor d(p).
4*(p - 5)*(p - 1)*(p + 1)
Suppose -1/3*v**2 + 1/6*v + 1/3*v**4 - 1/6*v**5 + 0*v**3 + 0 = 0. Calculate v.
-1, 0, 1
Let d(m) be the second derivative of 4 - 1/110*m**5 - 9*m + 2/11*m**2 + 1/33*m**3 - 1/33*m**4. Factor d(o).
-2*(o - 1)*(o + 1)*(o + 2)/11
Let c(k) be the third derivative of -k**9/12096 + k**7/84 + k**6/9 - 2*k**5/15 - k**3/2 - 41*k**2. Let n(q) be the third derivative of c(q). Factor n(z).
-5*(z - 4)*(z + 2)**2
Let l(z) be the first derivative of -2*z**5/25 - 7*z**4/30 + 2*z**3/15 - 67*z + 28. Let r(q) be the first derivative of l(q). Factor r(n).
-2*n*(n + 2)*(4*n - 1)/5
Let r = 96882/13 - 7452. Let w(t) be the first derivative of -1/26*t**4 + 1/13*t**2 - r*t + 2/13*t**3 - 7. Suppose w(f) = 0. Calculate f.
-1, 1, 3
Let u = -2032 + 3802. Suppose o = -3*b + 1810, 0 = 5*o - 6*o + 5*b + u. Factor -6 + 0 + 3*r - o*r**2 + 2*r + 1796*r**2.
(r - 1)*(r + 6)
Let f(o) be the first derivative of -3*o**4/16 + 149*o**3/4 - 2109*o**2 + 4107*o - 1381. Factor f(r).
-3*(r - 74)**2*(r - 1)/4
Suppose -2/11*p**5 - 1466/11*p - 438/11 - 1772/11*p**2 - 900/11*p**3 - 158/11*p**4 = 0. Calculate p.
-73, -3, -1
Let h = 284 + -205. Factor -10*p**3 - 3569*p - 1095*p - 1936 - h*p**2 - 9*p**2 + 524*p**2.
-2*(p - 22)**2*(5*p + 2)
Let n(s) = 13*s**2 + 152*s - 15. Let c(j) = 4*j**3 - j**2 - j + 1. Let d be c(1). Let u(l) = 7*l**2 + 76*l - 9. Let q(y) = d*n(y) - 5*u(y). Factor q(a).
4*a*(a + 19)
Let f(u) = -3*u**2 - 1. Let o(c) = 32*c**2 - 420*c - 1604. Let h(p) = -12*f(p) - o(p). Factor h(n).
4*(n + 4)*(n + 101)
Let g be (-5 - -26 - 1/(-1)) + 5. Factor -47*p**4 + g*p**4 - 186*p**2 - 297 - 12*p**3 + 23*p**4 - 468*p.
3*(p - 11)*(p + 1)*(p + 3)**2
Let y be ((-150)/(-36) - -7) + -7. Let v(m) be the second derivative of 1/36*m**4 + y*m**2 + 0 + 15*m + 5/9*m**3. Factor v(o).
(o + 5)**2/3
Let g(b) = 6*b + 2*b + 7*b**2 - 2277*b**3 - 4*b**2 + 2260*b**3 + 9. Let v(l) = -2*l**3 + l**2 + 1. Let j(w) = -2*g(w) + 18*v(w). Factor j(h).
-2*h*(h - 4)*(h - 2)
Let u(a) be the third derivative of -a**7/630 - 2*a**6/225 - a**5/50 - 19*a**4/8 + a**2 - 28. Let h(s) be the second derivative of u(s). Factor h(v).
-4*(v + 1)*(5*v + 3)/5
Suppose 1439*k - 3*k**2 + 1869 + 1718*k - 5023*k = 0. Calculate k.
-623, 1
Let l(a) = -4*a + 43. Let n be l(11). Let t be n + 1 + 16*1. Solve -11*v**2 - 18*v + 12*v**2 + t + 6*v - 5*v**2 =