 c(b).
(b - 2)**2*(b + 1)*(3*b + 2)/5
Suppose 102*b = -5*b + 214. Factor -3*n**b - 7/3*n**3 + 0 - 2/3*n.
-n*(n + 1)*(7*n + 2)/3
Suppose -347 = -5*a - r - 0*r, 0 = 4*a + 4*r - 284. Let -1 + a*s - 31*s + 5 + 26*s + 256*s**2 = 0. Calculate s.
-1/8
Suppose 4*w + 9 = w. Let v be (-3)/(-2)*(w + 5). Factor 4*n**4 + 0*n**4 + 8*n**v - 4*n**3.
4*n**3*(n + 1)
Solve -34*f + 15*f**3 - 15*f**2 + 4*f**2 - 8*f**2 - 16*f**3 = 0 for f.
-17, -2, 0
Let n(d) be the second derivative of d**5/5 + 200*d**4 + 80000*d**3 + 16000000*d**2 + 281*d. Factor n(q).
4*(q + 200)**3
Let h(z) = 2*z**2 + 93*z + 2. Let l be h(0). Suppose -2/15*t**l - 4/15*t - 2/15 = 0. Calculate t.
-1
Suppose 5*h - 2 - 23 = 0. Let z(q) be the second derivative of 0*q**3 + 0 + 0*q**2 - h*q + 1/78*q**4. Determine y so that z(y) = 0.
0
Let k(x) be the third derivative of -x**9/10584 - x**8/5880 + x**7/2940 + x**6/1260 + 11*x**3/6 - 2*x**2. Let o(t) be the first derivative of k(t). Factor o(u).
-2*u**2*(u - 1)*(u + 1)**2/7
Suppose 5*l = 29*l - 48. Let g(a) be the second derivative of 24*a**l + 0 - 4*a**3 - 4*a + 1/4*a**4. Factor g(t).
3*(t - 4)**2
Suppose -36 + 9 - 17 = -22*h. Let q = -59/2 + 30. Factor -1/2*n + 1/8*n**h + q.
(n - 2)**2/8
Let h be ((-2)/(-12))/(1/3). Suppose 34*w - 63*w + 368 = 63*w. Factor 0*f**w + 0 + 0*f**2 + h*f**3 - 1/4*f - 1/4*f**5.
-f*(f - 1)**2*(f + 1)**2/4
Let n(f) be the second derivative of -3*f**6/25 + f**5/2 - 7*f**4/10 + f**3/5 + 2*f**2/5 - 58*f. Factor n(y).
-2*(y - 1)**3*(9*y + 2)/5
Suppose 0*f**2 - 2/5 + 2/5*f**4 + 4/5*f - 4/5*f**3 = 0. What is f?
-1, 1
Let o be 12/(8/((-16)/(-6))). Let i(j) be the first derivative of 4*j - 14/3*j**3 - 3*j**2 + 3/2*j**o + 1 + 2*j**5. Factor i(v).
2*(v - 1)*(v + 1)**2*(5*v - 2)
Let j(s) = 15*s**4 - 71*s**3 + 45*s**2 + 38*s - 71. Let t(v) = -5*v**4 + 24*v**3 - 15*v**2 - 12*v + 24. Let f(z) = -4*j(z) - 11*t(z). Find p such that f(p) = 0.
-1, 1, 2
Let v(r) be the second derivative of -r**6/45 - r**5/5 - 11*r**4/18 - 2*r**3/3 + 157*r. Find o, given that v(o) = 0.
-3, -2, -1, 0
Suppose 4*l + 4*q = 0, -2*q + 15 = 2*l - 5*q. Let 1/5*n**l + 3/5*n + 1/5 + 3/5*n**2 = 0. What is n?
-1
Let f = 136 - 76. Factor f*c**3 + 87*c**5 - 30*c**4 - 40*c**2 - 39*c**5 - 43*c**5.
5*c**2*(c - 2)**3
Let b = 6541 + -59170/9. Let v = -33 - b. Let 2/9 - v*d + 2/9*d**2 = 0. What is d?
1
Let f(j) = -3*j + 1. Let r be f(7). Let k be (-8 + 4/(-2))*8/r. Factor -14/5*q - 2*q**3 + 18/5*q**2 + 2/5*q**k + 4/5.
2*(q - 2)*(q - 1)**3/5
Let w(t) be the third derivative of 5/24*t**4 + 5/336*t**8 + 0*t + 0 + 0*t**3 - 1/12*t**6 + 0*t**7 + 0*t**5 - 26*t**2. Factor w(j).
5*j*(j - 1)**2*(j + 1)**2
Let b(n) be the second derivative of n**4/90 + n**3/45 - 4*n**2/3 + 97*n - 2. Factor b(o).
2*(o - 4)*(o + 5)/15
Factor 0*o + 3/2*o**4 + 6*o**2 + 0 + 6*o**3.
3*o**2*(o + 2)**2/2
Let k be 1/(-2*4/(-32)). Suppose -27 = -4*f - 0*f - q, -3*f = k*q - 30. Factor -2*d**4 - 3 - 6*d**2 + 2*d + 0*d**3 + f*d**3 + 3.
-2*d*(d - 1)**3
Suppose -21 - 7 = -2*u. Determine i, given that -52 - 47 + 6*i**2 + 103 + u*i = 0.
-2, -1/3
Factor -11/2*j + 7/2*j**2 - 3.
(j - 2)*(7*j + 3)/2
Let o(m) be the second derivative of 5*m**7/21 - m**6/2 - 9*m**5/2 - 10*m**4/3 - 9*m + 7. Suppose o(k) = 0. Calculate k.
-2, -1/2, 0, 4
Let n = -605/12 + 158/3. Suppose 3/2 + n*h**2 + 29/4*h = 0. Calculate h.
-3, -2/9
Let v(h) be the third derivative of -7*h**2 + 0 + 1/2*h**4 + 0*h + 1/30*h**6 + 1/5*h**5 + 2/3*h**3. Suppose v(x) = 0. What is x?
-1
Let g(l) be the first derivative of -l**9/3024 + l**8/560 - l**7/280 + l**6/360 - 23*l**3/3 - 4. Let m(k) be the third derivative of g(k). Factor m(c).
-c**2*(c - 1)**3
Factor 16 - 82/5*v + 2/5*v**2.
2*(v - 40)*(v - 1)/5
Determine s so that 104*s + 4*s**2 + 15 + 7 + 36 + 42 = 0.
-25, -1
Suppose -2*z - 70 = -18*z + 10. What is w in 20/3*w**4 - 4/3*w**z + 4*w**2 + 0 + 0*w - 28/3*w**3 = 0?
0, 1, 3
Let v(i) be the third derivative of 5/6*i**4 + 0*i**3 + 0 - 4/3*i**5 + 8*i**2 + 0*i - 5/42*i**7 + 17/24*i**6. Suppose v(a) = 0. Calculate a.
0, 2/5, 1, 2
Suppose -5*q = -3*x - 85, -2*q - 20 = -x - 54. Suppose 3*a - 35 = -4*c, a - 5*c = -c + q. Factor 33*m**4 + 39*m**2 - 30*m**4 + 36*m + 5*m**3 + 12 + a*m**3.
3*(m + 1)**2*(m + 2)**2
Let y = -1/88 - -47/264. Find k, given that -5/6*k + y*k**3 + 1/6*k**2 + 1/2 = 0.
-3, 1
Determine h, given that -1/4*h**2 + 4*h - 39/4 = 0.
3, 13
Let n(f) be the first derivative of 3*f**4/2 - 20*f**3/3 - 8*f**2 - 39. Solve n(m) = 0 for m.
-2/3, 0, 4
Let w(d) be the second derivative of d**6/80 + 9*d**5/160 - 18*d - 7. Factor w(i).
3*i**3*(i + 3)/8
Let q = -42029/90 - -467. Let n(a) be the second derivative of -q*a**4 + 2/15*a**2 - 1/45*a**3 + 0 + a. Factor n(p).
-2*(p - 1)*(p + 2)/15
Determine o so that 8/5 - 4*o**2 + 12/5*o = 0.
-2/5, 1
Let n(d) be the first derivative of 49/9*d**3 - 14/3*d**2 + 17 + 4/3*d. Factor n(z).
(7*z - 2)**2/3
Let z(x) be the first derivative of 1/16*x**4 - 5/12*x**3 - 3/4*x + 1 + 7/8*x**2. Find b such that z(b) = 0.
1, 3
Suppose -15*m - 84 = -39 - 45. Factor -1/6*w**4 + m + 0*w - 2/3*w**3 - 1/2*w**2.
-w**2*(w + 1)*(w + 3)/6
Let 32*r**3 + 15*r**4 - 20*r**3 - 53*r + 113*r**3 - 47*r - 60*r**2 + 20*r**3 = 0. What is r?
-10, -2/3, 0, 1
Let a be (-5)/((-15)/(-24)*-4). Let l(y) be the first derivative of y**2 - 1/6*y**3 + 5 - a*y. Solve l(t) = 0.
2
Let r(m) be the first derivative of -m**5/90 + m**4/12 + 4*m**3/9 - 13*m**2 + 4. Let c(p) be the second derivative of r(p). Factor c(i).
-2*(i - 4)*(i + 1)/3
Let l(w) be the third derivative of 3/40*w**6 - 7/20*w**5 + 0 + 0*w**3 + 0*w + 1/4*w**4 - 23*w**2. Let l(j) = 0. What is j?
0, 1/3, 2
Let v(f) = -10*f**4 - 23*f**3 + 128*f**2 - 238*f + 108. Let p(m) = 3*m**4 + 7*m**3 - 43*m**2 + 79*m - 36. Let o(x) = -14*p(x) - 4*v(x). Factor o(q).
-2*(q - 4)*(q - 1)**2*(q + 9)
Let y(b) be the second derivative of b**4/20 - 33*b**3/5 + 39*b**2/2 - 101*b. Factor y(i).
3*(i - 65)*(i - 1)/5
Let t(r) = 4*r**5 - 2*r**4 - r**3 + 5*r**2 - 3*r + 3. Suppose 0 = -6*p + 3*p - 18. Let k(d) = -d**5 - d**2 + d - 1. Let l(h) = p*k(h) - 2*t(h). Solve l(u) = 0.
-1, 0, 1, 2
Let n = -3 + 14. Suppose n*d = 18*d - 14. Factor 2/11*z**d + 12/11*z + 18/11.
2*(z + 3)**2/11
Let p(k) be the second derivative of k**7/735 - k**6/210 - k**5/210 + k**4/42 - 11*k**2 + 3*k. Let t(w) be the first derivative of p(w). Factor t(f).
2*f*(f - 2)*(f - 1)*(f + 1)/7
Suppose -6*l - 5 = -11*l - 5*q, 5*l + 3*q = 3. Let y(x) be the third derivative of 5*x**2 - 1/360*x**5 + 0 - 1/36*x**4 - 1/9*x**3 + l*x. Factor y(v).
-(v + 2)**2/6
Let q(y) be the first derivative of y**5/20 + y**4/4 + 21*y - 11. Let i(j) be the first derivative of q(j). Factor i(b).
b**2*(b + 3)
Let a(l) be the second derivative of l**7/42 - 3*l**6/10 + 3*l**5/2 - 23*l**4/6 + 11*l**3/2 - 9*l**2/2 + 49*l + 2. Find f such that a(f) = 0.
1, 3
Let v(b) = -2*b**2 + 62*b - 418. Let u be v(10). Factor 3/5*t**3 - 48/5 + 0*t**u - 36/5*t.
3*(t - 4)*(t + 2)**2/5
Suppose k = -4*y + 4, 9*k + 60 = -y + 24*k. Factor -1/3*l**5 + 0 + y*l**2 - 1/3*l + 2/3*l**3 + 0*l**4.
-l*(l - 1)**2*(l + 1)**2/3
Let h(b) be the first derivative of -b**4/20 + 14*b**3/15 + 31*b**2/10 + 16*b/5 - 72. Factor h(v).
-(v - 16)*(v + 1)**2/5
Find r, given that -69*r**2 - 6*r**3 + 27*r + 432 + 45*r - 335*r**4 + 338*r**4 = 0.
-3, 4
Let x(h) be the third derivative of -1/525*h**7 + 0 + 0*h + 1/30*h**5 + 0*h**3 + 14*h**2 + 1/300*h**6 + 1/20*h**4. What is m in x(m) = 0?
-1, 0, 3
Suppose -3*z = 13 - 19. Suppose b**3 + 7*b**2 + 0*b**3 + 0*b**z - 5*b**2 + b = 0. Calculate b.
-1, 0
Let g(x) = 50*x**3 - 20*x**2 - 57*x + 20. Let s(u) = -25*u**3 + 10*u**2 + 28*u - 10. Let o(r) = -3*g(r) - 7*s(r). Factor o(w).
5*(w - 1)*(w + 1)*(5*w - 2)
Let c(m) = 4 + 0 + m**3 + m**2 + m - 5. Let f(j) = -7 + 0*j**3 + 3*j**2 - j**4 + 1 + 5*j + 3*j**3. Let s(k) = 6*c(k) - f(k). Find w, given that s(w) = 0.
-1, 0
Let i = -204 - -204. Let w(d) be the third derivative of 0*d**3 - 1/840*d**6 - 8*d**2 + i + 0*d**4 + 0*d + 1/210*d**5. Factor w(c).
-c**2*(c - 2)/7
Let q be (-7)/56*8*0. Factor 0*y + q + 2/9*y**2.
2*y**2/9
Let i(u) be the first derivative of u**4 - 14*u**2 + 24*u + 6. Factor i(w).
4*(w - 2)*(w - 1)*(w + 3)
Suppose -4*o + 3*o = -2. Factor -3*d**3 + 10*d**o - 5*d - 8*d + 2*d**2 + d.
-3*d*(d - 2)**2
Let z be (-13 - -9) + (0 - (1 - -5)). Let s be (1*-2)/(5/z*1). Fa