/((-84)/6))/(36/(-1746)). Solve 9/8*y**5 + 97/8*y**4 + 9*y + a*y**3 + 0 - 93/2*y**2 = 0.
-6, 0, 2/9, 1
Factor 0 - 282/5*m**2 + 3/5*m**3 + 6627/5*m.
3*m*(m - 47)**2/5
Suppose 0 = -2*m, -40 = -2*f - m + 188. Suppose f = -2*r + 118. Find k, given that -111*k**2 + 107*k**r - 10 + 2 - 12*k = 0.
-2, -1
Find h such that -22 + 1/8*h**3 - 43/2*h - 5*h**2 = 0.
-2, 44
Determine v, given that 149*v + 420 - 443*v**2 + 383*v**2 - 158*v + 9*v**3 = 0.
-7/3, 4, 5
Let r be (14/49)/((-3)/(-84)). Suppose 2*d = 4*p + 24, -10 = -4*d + 2*p + r. Factor -30*l - 28*l - 5*l**d - 180 + 5*l - 7*l.
-5*(l + 6)**2
Let o(i) = 13*i**3 - 487*i**2 + 330*i + 140. Let n(d) = 15*d**3 - 488*d**2 + 331*d + 139. Let k(x) = -4*n(x) + 3*o(x). Solve k(m) = 0.
-2/7, 1, 68/3
Suppose -3*f - 46*n = -43*n - 141, -243 = -5*f + 3*n. Let 284/3*x + 964/3*x**2 + 28/3 + f*x**4 + 380*x**3 = 0. What is x?
-7, -1/3, -1/4
Let f(q) = -717*q**3 + 1994*q**2 + 377*q + 18. Let v(b) = 2872*b**3 - 7977*b**2 - 1511*b - 74. Let x(p) = 26*f(p) + 6*v(p). Determine w, given that x(w) = 0.
-2/15, -2/47, 3
Let j = 1573093/102594 - -5/34198. Suppose 8*h + 80/3*h**2 + j*h**4 + 94/3*h**3 + 0 + 8/3*h**5 = 0. What is h?
-2, -1, -3/4, 0
Suppose 2 = a - b, -3*b = -a - 143 + 149. Let s(m) be the second derivative of 7/18*m**4 + 1/30*m**5 - 19*m + a*m**2 + 0*m**3 + 0. Factor s(l).
2*l**2*(l + 7)/3
Let s be 3 - (1169/(-105) - -14). Let i(b) be the first derivative of -s*b + 0*b**2 + 2/45*b**3 + 13. Factor i(f).
2*(f - 1)*(f + 1)/15
Let j = 289164 + -289160. Suppose -4/7*z**3 - 8/7 + 36/7*z**2 - 12/7*z - 12/7*z**j = 0. Calculate z.
-2, -1/3, 1
Let u = -158 - -161. Factor 28 - 4*x**3 - 5*x**3 - 12*x**2 + 7*x**u + 18*x.
-2*(x - 2)*(x + 1)*(x + 7)
Let g(x) = -15*x**2 - 75*x - 18. Let a(i) = 0 + 3 + 1 - 7485*i**2 - i - 3 + 7486*i**2. Let r(m) = 18*a(m) + g(m). Factor r(w).
3*w*(w - 31)
Let v(k) = -3*k + 5. Let c be v(-1). Let f(j) = -j + 15. Let a be f(c). Factor -2*s + 0*s**5 - a*s**2 - 9*s**3 + 0*s - 14*s**4 - s**5 + 9*s**4.
-s*(s + 1)**3*(s + 2)
Let o(w) be the first derivative of -2*w**3/51 + 178*w**2/17 - 354*w/17 + 66. What is u in o(u) = 0?
1, 177
Suppose 6472800*n + 33*n**3 + 31*n**3 - 7198*n**2 + 6480000 - 136*n**3 + 74*n**3 = 0. Calculate n.
-1, 1800
Let l(v) = -3*v**3 - 21*v**2 + 8*v - 8. Let d(y) = y**3 + 7*y**2 - 2*y + 3. Let f(n) = 8*d(n) + 3*l(n). Factor f(h).
-h*(h - 1)*(h + 8)
Factor 1/2*u**3 - 237276000 + 912600*u - 1170*u**2.
(u - 780)**3/2
Let g = 113 - 92. Let h be g/(-6)*5/(105/(-18)). Factor t + 4*t**h + 3*t + 72*t**2 - 80*t**2.
4*t*(t - 1)**2
Let t(v) = 2*v**5 + v**4 - v**3. Let c(m) = -11*m**5 - 13*m**4 + 11*m**3 + 7*m**2 - 6*m. Suppose 369 - 333 = 6*z. Let a(k) = z*t(k) + c(k). Factor a(p).
p*(p - 6)*(p - 1)**2*(p + 1)
Let f(s) be the first derivative of -4*s**5/5 + 10*s**4 + 548*s**3/3 + 252*s**2 + 228. Determine c so that f(c) = 0.
-7, -1, 0, 18
Find q such that 0 - 3/5*q**2 + 483/5*q - 483/5*q**3 + 3/5*q**4 = 0.
-1, 0, 1, 161
Let l = 24639 - 24639. Let a(r) be the third derivative of -1/40*r**5 + 0*r**6 - 38*r**2 + 0*r**3 - 1/24*r**4 + 1/420*r**7 + l + 0*r. Factor a(d).
d*(d - 2)*(d + 1)**2/2
Let x(i) be the second derivative of -63*i + 22*i**4 - 12/5*i**5 + 15/2*i**2 - 41/2*i**3 + 0. Factor x(u).
-3*(u - 5)*(4*u - 1)**2
Let f(w) be the first derivative of 5 - 15/2*w**2 - 5*w - 10/3*w**3 + 5/2*w**4 + 3*w**5 + 5/6*w**6. Factor f(z).
5*(z - 1)*(z + 1)**4
Let o(z) be the third derivative of 0*z**4 + 0*z**3 - 1/45*z**7 + 5/504*z**8 - 2/45*z**6 + 11 + 0*z + 3*z**2 + 2/45*z**5. What is y in o(y) = 0?
-1, 0, 2/5, 2
Determine j, given that 81*j + 115*j + 2 + 16*j**2 - 26*j - 68 = 0.
-11, 3/8
Determine f so that -9*f**3 - 8*f**3 + 16*f - 28*f**2 + 8*f**5 + 28*f**4 - 19*f**3 + 3*f**3 + 9*f**3 = 0.
-4, -1, 0, 1/2, 1
Let d(c) be the second derivative of c**7/168 - 7*c**6/120 + c**5/8 + c**4/24 - 11*c**3/24 + 5*c**2/8 - 1597*c. Find b such that d(b) = 0.
-1, 1, 5
Let z(v) be the second derivative of -v**5/30 - 541*v**4/3 - 1170724*v**3/3 - 1266723368*v**2/3 + 5582*v - 1. Solve z(l) = 0.
-1082
Let a(r) be the third derivative of 0 + 94*r**2 + 51/20*r**5 - 2601/8*r**4 - 1/120*r**6 + 44217/2*r**3 + 0*r. Solve a(b) = 0 for b.
51
Find u such that -4*u**3 + 12*u**2 - u**3 - 125*u**4 + 3*u**3 + 10*u**3 + 121*u**4 = 0.
-1, 0, 3
Let a be -8*(2 + -6 + 2 - -3). Let k(c) = c**3 + 13*c**2 + 11*c - 4. Let r be k(a). Factor -2*g + 234*g**2 + 5*g**3 + 3*g**3 - r*g**2.
2*g*(g + 1)*(4*g - 1)
Let g = 92 - 92. Suppose -2*a + 4*m + 52 = 2*a, 2*m + 10 = g. Solve -2*j**5 + 2*j**3 - 2*j**4 - j**4 - a + 7 + 3*j**2 + j**2 = 0 for j.
-1, 1/2, 1
Suppose 138*o**2 + 5*o**4 - 120 + 0*o - 105*o**4 + 54*o**3 + 92*o**2 - 35*o**5 - 9*o**3 - 20*o = 0. What is o?
-2, -6/7, 1
Let p(o) be the first derivative of o**4 - 352*o**3/3 - 178*o**2 - 1647. Factor p(m).
4*m*(m - 89)*(m + 1)
Let r(b) be the second derivative of -b**7/294 + b**6/35 - b**5/70 - 5*b**4/21 + 9*b**3/14 - 5*b**2/7 - 1710*b. Factor r(o).
-(o - 5)*(o - 1)**3*(o + 2)/7
Determine p, given that 1/2*p**2 + 214369/2 + 463*p = 0.
-463
Let o(f) = -2*f + 3. Let l be o(0). Let t(k) = 2*k + 5. Let m be t(l). Find a, given that -6*a**2 + m*a - 3 - 4 + 2 + 7 = 0.
-1/6, 2
Let o(u) be the second derivative of 5*u**4/42 - 184*u**3/3 - 516*u**2/7 - 515*u. Solve o(j) = 0.
-2/5, 258
Let b(g) be the third derivative of -5*g**8/336 - g**7/14 + 11*g**6/12 + 37*g**5/6 + 125*g**4/8 + 125*g**3/6 - 459*g**2. Determine s, given that b(s) = 0.
-5, -1, 5
Let q = 77231/74280 - -6/3095. Let x(i) be the second derivative of 5/3*i**3 + i**2 + 0 - 3*i + q*i**4. Factor x(p).
(5*p + 2)**2/2
Let f(y) be the first derivative of y**4/6 + 92*y**3/9 + 160*y**2 - 768*y - 507. Factor f(g).
2*(g - 2)*(g + 24)**2/3
Let i(y) = y**2 - 133*y + 1975. Let p be i(17). Let x(j) be the first derivative of -1/2*j**2 + 1/4*j**4 + 0*j - 1/15*j**5 + 1/9*j**p - 21. Factor x(f).
-f*(f - 3)*(f - 1)*(f + 1)/3
Let u = -18 - -19. Suppose -3*v = -5 - u. Let b(i) = -i**2 - 1. Let o(y) = -3*y**2 - 50*y - 123. Let s(l) = v*b(l) + o(l). Find q, given that s(q) = 0.
-5
Suppose 800 = 2*d + a - 104, 4*d + 4*a - 1816 = 0. Suppose 0*q = -5*q + d. Factor 1 - 92*i**2 + q*i**2 + 8*i - 9.
-2*(i - 2)**2
Let c(q) be the second derivative of q**6/45 - 7*q**5/45 - 13*q**4/54 + 44*q**3/27 - 20*q**2/9 + 134*q. Let c(o) = 0. What is o?
-2, 2/3, 1, 5
Let o be (-6)/(-8) - (5874/(-21360) + 10/16). What is m in 0*m + 0 + 0*m**2 - 6/5*m**3 - o*m**4 = 0?
-3, 0
Let w be (8/6)/(-4*4/120). Let a be (12/(-81))/(w + (-319)/(-33)). What is i in 0*i + 4/9*i**3 - 4/9*i**5 + 0 - 4/9*i**2 + a*i**4 = 0?
-1, 0, 1
Factor 1969/2*t + 3876961/4 + 1/4*t**2.
(t + 1969)**2/4
Let b(w) be the first derivative of -w**6/6 + 9*w**5/5 + 27*w**4/2 - 252*w**3 + 972*w**2 - 859. What is k in b(k) = 0?
-9, 0, 6
Let y(x) = x**4 - x**3 + x**2 - 1. Let f = 394 - 395. Let d(l) = -8*l**4 + 12*l**3 - 36*l**2 + 32*l. Let k(j) = f*d(j) - 12*y(j). Factor k(o).
-4*(o - 1)**3*(o + 3)
Suppose 75 + 111 = -62*l. Let v be l/((-30)/(-105) - (-50)/(-28)). Let 0 + 1/2*m**3 + v*m - 2*m**2 = 0. What is m?
0, 2
Suppose p - 4*n + 13 = 0, -5*n = 4*p - p - 29. Suppose -2*k + 23 = 3*m, -p*k + 3*m + 26 = -m. Factor 273 + 6*s - 22*s**3 + 6*s**4 + k*s**2 - 273.
2*s*(s - 3)*(s - 1)*(3*s + 1)
Let m(t) = -t**3 - 5*t**2 - 6*t - 5. Let p be m(-4). Let j be ((-115)/3)/(139334/(-18174)). Factor 0*f - 4/15*f**p - 2/15*f**j + 0*f**2 + 0 - 2/5*f**4.
-2*f**3*(f + 1)*(f + 2)/15
Solve -70/17 - 4/17*s**2 - 2*s = 0 for s.
-5, -7/2
Let i(o) be the third derivative of -o**6/6 - 149*o**5/15 + 175*o**4/2 - 66*o**3 - 8542*o**2. Factor i(n).
-4*(n - 3)*(n + 33)*(5*n - 1)
Let b be -10*(-2249)/1300 - 16/20. Find p, given that b*p**3 + 0 + 9*p**2 + 7/2*p**4 - 4*p = 0.
-4, -1, 0, 2/7
Let h be (-1525)/183*(-99)/60. Factor 5*r**2 + h*r + 15/2 - 5/4*r**3.
-5*(r - 6)*(r + 1)**2/4
Factor 0*g**2 - 1/4*g**5 + 0 + 30*g**3 - 37/4*g**4 + 0*g.
-g**3*(g - 3)*(g + 40)/4
Suppose 0 = -6*w + 20 - 8. Find m, given that 0*m**4 - 12*m**w - 2 + 8*m**3 + 8*m - 13*m**4 + 3*m**4 + 8*m**4 = 0.
1
Let d = -3 - -8. Let 16*g + d*g**2 - 106*g - 17 - 78 = 0. Calculate g.
-1, 19
Let p(v) be the second derivative of -v**9/7560 - v**8/672 + 2*v**7/105 - 17*v**4/3 + v**2 - 30*v - 1. Let s(d) be the third derivative of p(d). Factor s(i).
-2*i**2*(i - 3)*(i + 8)
Let q = -144 - -130. Let