**2 + 3 + 1. Let n(j) = j + 1. Let o(c) = 5*n(c) - u(c). Factor o(v).
-2*v*(2*v - 1)
Suppose 12474/13*o + 26244/13 + 2/13*o**3 - 320/13*o**2 = 0. Calculate o.
-2, 81
Let t(x) be the third derivative of 0 + 0*x + 0*x**3 - 1/120*x**5 - 10*x**2 + 0*x**4. Factor t(z).
-z**2/2
Let x(k) = 10*k**2 - 11*k - 251. Let l(i) = -7*i**2 + 7*i + 169. Let j(o) = 7*l(o) + 5*x(o). Factor j(v).
(v - 12)*(v + 6)
Let h(f) be the third derivative of f**8/1344 + f**7/72 + f**6/18 - 2*f**5/3 - 5*f**4/3 + 5*f**2. Let z(q) be the second derivative of h(q). Factor z(o).
5*(o - 1)*(o + 4)**2
Let m(k) be the first derivative of -2*k**3/15 - 38*k**2 - 378*k/5 + 644. Determine f so that m(f) = 0.
-189, -1
Let p(d) be the first derivative of d**3 + 9*d**2 - 21*d - 73. Factor p(r).
3*(r - 1)*(r + 7)
Let k = -94 - -99. Let j(a) be the third derivative of 5*a**2 + 2/3*a**4 + 0*a + 0 + 4/3*a**3 + 1/60*a**6 + 1/6*a**k. Factor j(s).
2*(s + 1)*(s + 2)**2
Let i be -6 + (-132)/40*22/(-12). Let r(m) be the second derivative of 1/84*m**7 - 3*m + 0*m**2 - 1/20*m**5 - 2/3*m**3 - 1/2*m**4 + i*m**6 + 0. Factor r(g).
g*(g - 2)*(g + 1)*(g + 2)**2/2
Let o(z) = 4*z**3 + z - 1. Let k be o(1). Let y be (4/k - 3) + 4. Solve 24*g - 5 + 33*g**y + 13 - 15*g**2 = 0.
-2/3
Suppose 1/5*d**5 + 7/10*d**4 - d**3 - 1/5*d - 5/2*d**2 + 4/5 = 0. What is d?
-4, -1, 1/2, 2
Let c(f) be the second derivative of -13*f**5/16 + 25*f**4/16 + 5*f**3 - 5*f**2/2 - 205*f. Suppose c(b) = 0. What is b?
-1, 2/13, 2
Suppose -954*r = -930*r - 48. Let c(l) be the first derivative of 5/4*l**4 - 20*l + 5/3*l**3 - r - 10*l**2. Suppose c(y) = 0. Calculate y.
-2, -1, 2
Let y = 5348 + -5346. Solve 4/7 - 8/7*s - 16/7*s**3 - 4*s**y = 0.
-1, 1/4
Let i(v) be the third derivative of -v**8/20160 + v**7/1260 - v**6/180 + 7*v**5/20 - 9*v**2. Let y(x) be the third derivative of i(x). What is g in y(g) = 0?
2
Let v(n) be the first derivative of n**5/160 - n**4/48 + n**3/48 + 13*n - 1. Let h(s) be the first derivative of v(s). Factor h(c).
c*(c - 1)**2/8
Let o = 8145/8 - 89579/88. Factor o*p**3 - 24/11*p - 32/11 + 0*p**2.
2*(p - 4)*(p + 2)**2/11
Let v(r) = 3*r**2 - 5*r. Let x(k) = 5*k**2 - 9*k. Suppose -3*n = 4*f + 28, -28 = 3*f + n + 3*n. Let h(u) = f*x(u) + 7*v(u). Factor h(d).
d*(d + 1)
Suppose 7*v - 25 + 11 = 0. Factor -26*r**2 - 63*r + v*r**2 - 54 + 0*r**2 - 3*r**3.
-3*(r + 2)*(r + 3)**2
Find z, given that 54 - 13*z**3 - 158 + z**2 + 48 + 56 + 3*z**5 - 5*z**4 + 6*z = 0.
-1, 0, 2/3, 3
Let u be 12*(112/12 + -8). Let o(y) be the first derivative of 16*y**2 + y**4 + u*y + 13 + 20/3*y**3. Factor o(z).
4*(z + 1)*(z + 2)**2
Find f, given that -423*f**3 + 16*f**4 + 421*f**3 + 0*f - 3*f + 3*f - 4*f**2 - 10*f**5 = 0.
-2/5, 0, 1
Let q be (-3 - 0) + 46/38. Let d = 88/57 - q. Factor 20/3*p**3 - d*p**4 + 10/3*p + 2/3*p**5 - 2/3 - 20/3*p**2.
2*(p - 1)**5/3
Let t(u) be the first derivative of -u**4/12 - 14*u**3/9 - 15*u**2/2 - 282. Find f such that t(f) = 0.
-9, -5, 0
Let z(j) be the third derivative of 1/112*j**8 + 2*j**2 + 7/20*j**5 + 1/14*j**7 + 0*j**3 + 1/4*j**4 + 0*j + 0 + 9/40*j**6. Factor z(c).
3*c*(c + 1)**3*(c + 2)
Let v(r) = -23*r + 7. Let b be v(-4). Let s = 893/9 - b. Determine z, given that 2/9*z**4 + 0 + 0*z**2 + 0*z + s*z**5 - 4/9*z**3 = 0.
-2, 0, 1
Determine y so that -1/3*y**3 + 0 - 1/3*y**2 + 0*y = 0.
-1, 0
Let w(p) = -20*p - 16. Let d be w(-1). Factor 0 + 2/7*q**5 + 0*q**3 - 2/7*q + 4/7*q**d - 4/7*q**2.
2*q*(q - 1)*(q + 1)**3/7
Let g(j) be the third derivative of 0*j**6 - 1/784*j**8 + 1/245*j**7 + 0*j + 1/56*j**4 + j**2 - 1/70*j**5 + 0*j**3 + 0. Factor g(b).
-3*b*(b - 1)**3*(b + 1)/7
Let q(h) be the third derivative of 5929*h**5/180 + 77*h**4/12 + h**3/2 + 65*h**2 + 2. Solve q(d) = 0.
-3/77
Let r(n) be the second derivative of 5*n + 0 - 1/18*n**4 - 2/3*n**3 - 3*n**2. Factor r(w).
-2*(w + 3)**2/3
Let i = 178798 - 46487403/260. Let f = -3/65 + i. Find w such that f*w**4 - 1/4*w**2 + 1/4*w**3 + 0*w + 0 - 1/4*w**5 = 0.
-1, 0, 1
Let i be (-1 + 3)*(-4)/(-44). Let u = 98/53 - 972/583. What is b in i*b**5 - 4/11*b**3 + u + 2/11*b - 4/11*b**2 + 2/11*b**4 = 0?
-1, 1
Factor -2/3*w**4 - 10/3*w**2 + 4/3*w + 0 + 8/3*w**3.
-2*w*(w - 2)*(w - 1)**2/3
Determine u, given that 8/3*u - 2/3*u**2 - 2 = 0.
1, 3
Factor 2*b**2 + 2*b**3 + 2*b**3 - 36 - b**3 - 373*b + 349*b + b**2.
3*(b - 3)*(b + 2)**2
Let q(j) be the second derivative of -32*j**7/21 + 256*j**6/15 - 342*j**5/5 + 81*j**4 + 1701*j**3/8 - 6561*j**2/8 - 2*j. Factor q(g).
-(g + 1)*(4*g - 9)**4/4
Let h be 8/6*(103 + -5). Let o = h + -130. Factor -o + 1/3*l**3 + 2/3*l**2 - 1/3*l.
(l - 1)*(l + 1)*(l + 2)/3
Let k(w) = -w**4 + w**3 - w + 1. Let o(g) = -8 + g**2 - 7*g**4 + 10 - 3*g + g + g**3 - 3*g**5. Let r(c) = 4*k(c) - 2*o(c). Solve r(t) = 0 for t.
-1, 0, 1/3
Let d(t) be the second derivative of t**5/4 + 5*t**4/4 - 10*t**3/3 - 3*t + 26. Factor d(n).
5*n*(n - 1)*(n + 4)
Suppose -128/11 - 2/11*p**2 + 32/11*p = 0. What is p?
8
Let j(l) be the third derivative of 1/6*l**3 - 11/144*l**4 + 0*l - 1/1260*l**7 + 20*l**2 + 0 + 1/240*l**6 + 1/120*l**5. Determine a so that j(a) = 0.
-2, 1, 3
Let y(m) = 9*m**3 + 6*m**2 - 6*m + 3. Let c be 2/6 - (-5)/3. Let d(a) = 9*a**3 + 5*a**2 - 6*a + 2. Let k(f) = c*y(f) - 3*d(f). Determine j, given that k(j) = 0.
-1, 0, 2/3
Let f(u) be the second derivative of 1/6*u**4 + 0 - 4*u**2 + 7*u + 0*u**3. Solve f(g) = 0.
-2, 2
Let l(f) = -2*f**3 + 3*f**2 + 3*f - 1. Let b be l(2). Let u(i) = 15*i**2 + 6. Let p = 3 + -9. Let z(r) = r**2 + r + 1. Let h(w) = b*u(w) + p*z(w). Factor h(x).
3*x*(3*x - 2)
Factor 8/3*z**3 + 0 + 0*z + 26/3*z**4 + 0*z**2.
2*z**3*(13*z + 4)/3
Determine f so that -5*f - 11*f + 0 + 20*f**3 + 90*f**5 - 94*f**5 + 0 = 0.
-2, -1, 0, 1, 2
Factor 7 - 175*c**4 - 28*c**2 - 44*c + 211*c**4 - 15 + 44*c**3.
4*(c - 1)*(c + 1)**2*(9*c + 2)
Let p(t) be the first derivative of t**3 - 39*t**2/2 + 36*t - 48. Factor p(s).
3*(s - 12)*(s - 1)
Let r(h) be the second derivative of -4*h**6/15 - h**5 - 11*h**4/8 - 5*h**3/6 - h**2/4 - 6*h + 2. Factor r(t).
-(t + 1)**2*(4*t + 1)**2/2
Let v(j) be the first derivative of 3/10*j**5 - 3/2*j**3 + 0*j**4 - 5 + 3/2*j**2 + 0*j. What is f in v(f) = 0?
-2, 0, 1
Let y(x) be the first derivative of -3*x**4/4 + 23*x**3/6 - 15*x**2/4 + 323. Factor y(a).
-a*(a - 3)*(6*a - 5)/2
Factor -1/6*z + 2 - 1/6*z**2.
-(z - 3)*(z + 4)/6
Suppose 0 = 35*b - 63 - 7. Let o = 1 + 2. Factor -4*k + 3*k**b + 8*k**2 - 7*k**o + 3*k**3 - 3*k**2.
-4*k*(k - 1)**2
Let r(u) be the second derivative of 0 - 4205/12*u**4 - 12*u - 10*u**2 - 290/3*u**3. Factor r(m).
-5*(29*m + 2)**2
Suppose 1 - 64*x**2 + 3 + 63*x**2 + 3*x = 0. What is x?
-1, 4
Let c(f) = 2*f + 49. Let u be c(-20). Suppose -5*n - 8 = -u*n. Factor 4/5 + 18/5*s**n + 22/5*s.
2*(s + 1)*(9*s + 2)/5
Let k(v) be the first derivative of -10*v**3/3 + 44*v**2 - 64*v + 373. Factor k(a).
-2*(a - 8)*(5*a - 4)
Let a(c) be the second derivative of 4/3*c**3 - 7*c - 4*c**2 + 0 - 1/6*c**4. Factor a(w).
-2*(w - 2)**2
Let g = -7 + -29. Let i = 54 + g. Factor -5*f**3 - 7*f - 13*f + 2*f**2 + i*f**2 - 5*f + 10.
-5*(f - 2)*(f - 1)**2
Let y(d) = -2*d**5 + 3*d**4 + 9*d**3 + d**2 + 3. Let r(a) = 4*a**5 - 5*a**4 - 17*a**3 - 3*a**2 - 5. Let s(u) = 3*r(u) + 5*y(u). Suppose s(f) = 0. Calculate f.
-1, 0, 2
Solve -4096/9*l + 0 + 256/3*l**2 - 16/3*l**3 + 1/9*l**4 = 0.
0, 16
Find f such that 1/5*f**2 + 56/5*f + 0 = 0.
-56, 0
Let n(z) be the first derivative of z**4/12 + 4*z**3/3 - 79. Factor n(k).
k**2*(k + 12)/3
Let z be 2*(-2)/20 - 11931/(-4305). Find r such that 0 + 4/7*r + 22/7*r**2 + z*r**3 = 0.
-1, -2/9, 0
Let z(v) be the third derivative of -v**8/1344 + 17*v**7/840 - 43*v**6/480 + 11*v**5/240 + 11*v**4/24 - 7*v**3/6 + 487*v**2. Solve z(h) = 0.
-1, 1, 2, 14
Factor -33/2*j**3 - 3/2*j**4 + 0*j + 18*j**2 + 0.
-3*j**2*(j - 1)*(j + 12)/2
Suppose p = v + 2, 42 = -5*p + 67. What is m in 0 - 1/3*m**2 + 0*m - 1/3*m**5 + 1/3*m**v + 1/3*m**4 = 0?
-1, 0, 1
Let i be 4/(-106) - 11264/(-51304). Factor i*n**2 + 72/11 + 24/11*n.
2*(n + 6)**2/11
Factor 15*s + 1/2*s**3 + 17/2*s**2 + 0.
s*(s + 2)*(s + 15)/2
Let y = 1740 - 15644/9. Find u such that -2/9*u**2 - 32/9 + y*u = 0.
4
Let g = 40 + -79. Let c(x) = 6*x**2 - 12*x - 7. Let n(p) = -p**2 + 2*p + 1. Let u(t) = g*n(t) - 6*c(t). Factor u(s).
3*(s - 1)**2
Let v be ((-4)/7)/((-20)/350). Solve -7 + 3 - v*j**3 + 9*j + 5*j