or m(a).
-4*(a - 12)*(a + 1)*(a + 4)
Let q be ((-23)/(-46))/(26/4 + -4). Factor -4/5 - q*i**4 - 2/5*i**3 + 4/5*i + 3/5*i**2.
-(i - 1)**2*(i + 2)**2/5
Let a = -172 + 121. Let d = a + 102. Factor 39*t**2 - 15*t**5 - 6*t + d*t**4 - 63*t**3 - 6*t**2 + 0*t**5.
-3*t*(t - 1)**3*(5*t - 2)
Let m(z) be the first derivative of 5 - 2/11*z**3 + 3/22*z**4 + 0*z + 1/11*z**2 - 2/55*z**5. Determine o, given that m(o) = 0.
0, 1
Let i(v) = -21*v**2 - 769*v - 15188. Let l(z) = -4*z**2 - 154*z - 3038. Let u(o) = 2*i(o) - 11*l(o). Factor u(j).
2*(j + 39)**2
Let q(z) = -4*z + 4. Let x be q(-2). Let r be 2*x/16 - 6/8. Factor 0*g**3 + r + 0*g - 3/2*g**2 + 3/4*g**4.
3*(g - 1)**2*(g + 1)**2/4
Let l be -2*1/5*10 - (-36918)/6153. Find s such that -63/5*s**3 + 33/5*s**l + 51/5*s**4 + 0 - 3*s**5 - 6/5*s = 0.
0, 2/5, 1
Let f(l) = -13*l**3 - 4*l**2 + 13*l - 7. Let t(v) = -7*v**3 - 2*v**2 + 7*v - 4. Let g(j) = -6*f(j) + 11*t(j). Factor g(x).
(x - 1)*(x + 1)*(x + 2)
Suppose -3*h = -3 - 75. Factor 27*b**3 + 2*b**4 - 10 + 24*b + h*b**2 - 15*b**3 + 18.
2*(b + 1)**2*(b + 2)**2
Let p(a) be the second derivative of -3*a**5/100 - 11*a**4/30 - 37*a**3/30 - a**2 + 2*a + 61. Factor p(q).
-(q + 2)*(q + 5)*(3*q + 1)/5
Let o = -3167 - -9359/3. Let x = o + 48. Factor 17/3*l**3 + 11/3*l - 5/3*l**4 - x - 7*l**2.
-(l - 1)**3*(5*l - 2)/3
Let v(m) be the first derivative of -m**7/14 + 2*m**6/5 - 3*m**5/4 + m**4/2 - 10*m - 2. Let h(w) be the first derivative of v(w). Determine p so that h(p) = 0.
0, 1, 2
Let j(m) = 7*m**2 - m - 27. Let z(n) = -10*n**2 + 95 - 15 + 4*n + 56 - 26*n**2. Let u(x) = -16*j(x) - 3*z(x). Factor u(g).
-4*(g - 3)*(g + 2)
Let u(r) be the first derivative of 4/9*r**2 - 4/9*r**3 + 1/9*r**4 + 0*r - 8. Determine i, given that u(i) = 0.
0, 1, 2
Suppose 0 = 4*y, -4*n = -5*n - 4*y - 3. Let h(d) = -d - 3. Let u be h(n). Factor -1/2*o**3 + u + 1/2*o**2 + 0*o.
-o**2*(o - 1)/2
Let k be (-49 - -48)/(0 + 1/3). Let u(r) = -10*r**2 - 60*r - 75. Let g(o) = -5*o**2 - 30*o - 37. Let c(w) = k*u(w) + 5*g(w). Factor c(v).
5*(v + 2)*(v + 4)
Let s = 27 + -21. Let j be (-154)/33*s/(-7). What is d in 2*d + 5 + d**2 + j - 8 = 0?
-1
Let d(s) = s + 2. Let j be d(4). Factor 16*r**2 - 29*r**3 - 18*r**4 + 10*r**3 - r**3 + 16*r + j*r**4.
-4*r*(r - 1)*(r + 2)*(3*r + 2)
Let t = -44 + 46. Factor -2*m**2 - 2*m**2 + t*m**4 - m**2 + 3*m**2.
2*m**2*(m - 1)*(m + 1)
Suppose 2*f + 5*p = 4, -2*f + 4 = -2*p - p. Suppose -6*h + 8*h = t - 8, -5*t - f*h = -4. Factor 3/2*s - 3/2*s**t - 3/2*s**3 + 3/2.
-3*(s - 1)*(s + 1)**2/2
Let f(w) = -19*w**3 - 106*w**2 - 589*w + 1728. Let r(q) = -9*q**3 - 54*q**2 - 294*q + 864. Let k(j) = 6*f(j) - 13*r(j). Factor k(y).
3*(y - 2)*(y + 12)**2
Let n(o) = -o**3 + 9*o**2 - 8*o + 3. Let k be n(8). Factor 2*h**2 - 18*h**4 - 22*h**3 + 8*h**k + 2*h**2.
-2*h**2*(h + 1)*(9*h - 2)
Let r(a) be the second derivative of -a**5/130 + 4*a**4/39 + a**3/39 - 8*a**2/13 - 885*a. Factor r(p).
-2*(p - 8)*(p - 1)*(p + 1)/13
Let y = -1556 - -1558. Let f be 1 + (-3)/18*2. Suppose 0*j + f - 1/6*j**y = 0. Calculate j.
-2, 2
Suppose 126*r = 131*r - 10. Solve 9/7*q - 12/7*q**r + 3/7 = 0 for q.
-1/4, 1
Suppose 4*g - 44 = 3*k, -2*k - 37 = -2*g - 13. Let h be (-12)/(-18)*(0 + 3/g). Factor -1/4*c - 1/4*c**5 + 1/2*c**3 + 1/2*c**2 - 1/4 - h*c**4.
-(c - 1)**2*(c + 1)**3/4
Let l = -10063/14 - -719. Let s(k) be the first derivative of 1/7*k**3 + 0*k + l*k**2 - 3. Factor s(z).
3*z*(z + 1)/7
Suppose 2*a - 7*a + g = -1, -5*a - 2*g - 2 = 0. Suppose a = -10*o + 12*o. Factor 1/6*d**3 + 0*d + o*d**2 - 1/6*d**5 + 0 + 0*d**4.
-d**3*(d - 1)*(d + 1)/6
Let x(m) be the first derivative of 2*m**3/21 + 4*m**2/7 + 6*m/7 + 104. Suppose x(r) = 0. What is r?
-3, -1
Let l(w) be the first derivative of -w**5/180 - 5*w**4/12 - 25*w**3/2 - w**2/2 + 3*w - 22. Let j(u) be the second derivative of l(u). Let j(n) = 0. What is n?
-15
Let n be (594/55)/1 - 10. Let w = 197/5 + -39. Find r, given that 4/5*r**2 - n + 2/5*r**3 - w*r = 0.
-2, -1, 1
Let v(d) be the second derivative of -30*d**7/7 - 352*d**6/5 - 809*d**5/5 - 94*d**4 + 56*d**3 + 80*d**2 - 56*d. Solve v(c) = 0 for c.
-10, -1, -2/3, -2/5, 1/3
Let v(p) be the first derivative of -p**4/6 + p**3/3 + 7*p + 4. Let d(f) be the first derivative of v(f). Suppose d(n) = 0. Calculate n.
0, 1
Let c(a) be the second derivative of -4*a + 0*a**2 - 1/10*a**5 - 1/42*a**7 - 2/15*a**6 + 1/3*a**4 + 1/2*a**3 + 0. Solve c(b) = 0.
-3, -1, 0, 1
Let n(q) be the first derivative of q**7/140 - q**6/10 + 3*q**5/5 - 2*q**4 + 4*q**3 - 5*q**2/2 + 19. Let p(i) be the second derivative of n(i). Solve p(b) = 0.
2
Determine y, given that 116*y**3 + 2*y**4 + 2187*y**2 + y**4 + 46*y**3 = 0.
-27, 0
Let v(c) = -c**2 + 2*c. Let p(u) = 8*u**2 + 29*u - 90. Let r(x) = p(x) + 3*v(x). Factor r(g).
5*(g - 2)*(g + 9)
Let v(q) = 14*q**4 + 11*q**3 - 161*q**2 - 189*q - 86. Let r(l) = -3*l**4 - 2*l**3 + 32*l**2 + 38*l + 17. Let u(d) = -11*r(d) - 2*v(d). Solve u(b) = 0.
-1, 3
Let r(d) = d**2 - 3*d + 4. Let a be r(0). Let j = 7 + -5. Factor -4*w**4 - w**5 - a*w + 0*w**4 + 3*w + 0*w**4 - 6*w**3 - 4*w**j.
-w*(w + 1)**4
Let 6*a**4 - 30*a + 33/2 - 45/2*a**2 + 30*a**3 = 0. Calculate a.
-11/2, -1, 1/2, 1
Let 151*r**3 - 44*r + 0*r**5 + 4*r**5 - 48*r**4 + 48*r**2 + 0*r**5 - 111*r**3 = 0. What is r?
-1, 0, 1, 11
Factor 120*p**2 - 10*p**3 + 54*p**3 + 9*p**4 - 10*p**4 + 5*p**4.
4*p**2*(p + 5)*(p + 6)
Let m(i) be the second derivative of 5*i**7/168 - 251*i**6/24 - 505*i**5/16 - 1265*i**4/48 + 2*i + 104. Factor m(g).
5*g**2*(g - 253)*(g + 1)**2/4
Let y(c) be the second derivative of 0 - 3/10*c**5 + 0*c**4 + 1/2*c**3 - 11*c + 1/14*c**7 + 0*c**6 + 0*c**2. Find m, given that y(m) = 0.
-1, 0, 1
Let z(b) = b - 2. Let u be z(4). Suppose 0*m + 2*m - 2*k - 22 = 0, -2*m + 14 = u*k. Factor 6*w**4 + 8*w + w**2 - w**2 - 23*w**3 + m*w**3.
2*w*(w - 2)*(w - 1)*(3*w + 2)
Let b = 29 - 19. Let l be 2/(b/(-13)) + 3. Factor 1/5 + l*y - 1/5*y**4 - 2/5*y**3 + 0*y**2.
-(y - 1)*(y + 1)**3/5
Determine v, given that 15*v - 16 + 3*v**2 + 37 - 9 = 0.
-4, -1
Let p(h) = -12*h**2 + 60*h - 52. Let c(q) = 10*q**2 - 60*q + 53. Let l(g) = 4*c(g) + 3*p(g). Factor l(o).
4*(o - 14)*(o - 1)
Let x(b) be the third derivative of -b**8/1512 + b**7/945 + 14*b**6/135 + b**2 - 14. Factor x(n).
-2*n**3*(n - 8)*(n + 7)/9
Let i(o) be the first derivative of 3/5*o**4 + 0*o**5 + 6/5*o - 9/10*o**2 - 1/10*o**6 + 4 - 2/5*o**3. Determine d, given that i(d) = 0.
-2, -1, 1
Let t = 74 + -62. Factor -5*g**4 + 3 - 15 + 2*g**4 + 14*g**2 + 6*g**3 - t*g - 5*g**2.
-3*(g - 2)**2*(g + 1)**2
Solve -12/7*h**2 + 0 - 20/7*h**4 + 4/7*h**5 + 4*h**3 + 0*h = 0.
0, 1, 3
Let z(v) be the first derivative of 4*v**5/15 + 5*v**4/3 - 16*v**3 + 244. Let z(w) = 0. What is w?
-9, 0, 4
Let t(n) = 2*n**3 + 7*n**2 + 3*n + 8. Let u(i) = -i**3 - 3*i**2 - i - 3. Let l(j) = 2*t(j) + 5*u(j). Factor l(r).
-(r - 1)*(r + 1)**2
Let o(c) be the second derivative of 5*c**4/4 + 4*c**3/3 + 15*c. Let j(b) = -4*b**2 - 2*b. Let q(y) = 22*j(y) + 6*o(y). Solve q(z) = 0.
-2, 0
Let a = 81 + -84. Let g be 14/a*(-56)/98. Let 0 + 2/3*s**5 + 8/3*s**2 + 2/3*s + g*s**4 + 4*s**3 = 0. Calculate s.
-1, 0
Factor 19 + 139*k**2 - 52 - 137*k**2 - 28*k - 37*k.
(k - 33)*(2*k + 1)
Let l = 767 - 765. Find k such that -1/3 + 1/2*k + 1/6*k**l - 1/2*k**3 + 1/6*k**4 = 0.
-1, 1, 2
Let m = 22 + -6. Suppose 5*j - m = j. Solve -a**5 - 12*a**4 + 18*a**3 - a**5 + j*a**5 = 0.
0, 3
Let m(g) be the second derivative of -g**5/110 - 23*g**4/66 - 80*g**3/33 - 76*g**2/11 - 94*g. Factor m(f).
-2*(f + 2)**2*(f + 19)/11
Let p(j) be the third derivative of -j**6/30 + 13*j**5/15 - 17*j**4/2 + 42*j**3 + 120*j**2. Factor p(q).
-4*(q - 7)*(q - 3)**2
Let f(b) be the first derivative of b**3 + 29*b**2/2 + 11. Let y(l) = 4*l**2 + 44*l. Let n(g) = 8*f(g) - 5*y(g). Factor n(z).
4*z*(z + 3)
Factor -2/7*w**2 + 18/7*w + 0.
-2*w*(w - 9)/7
Let v = -33 - -36. Let c(b) = -b**5 + b**4 - b**3 - b**2 + b + 1. Let k(p) = 3*p**5 - p**4 - p**3 + p**2 - 2. Let j(h) = v*k(h) + 6*c(h). Factor j(w).
3*w*(w - 1)**2*(w + 1)*(w + 2)
Let u(z) be the second derivative of -z**7/2940 - z**6/630 - z**5/420 + 11*z**3/6 + 4*z. Let d(f) be the second derivative of u(f). Suppose d(w) = 0. What is w?
-1, 0
Let d be -7*(-3)/63*0. Let p(n) be the second derivative of -1/6*n**3 - 1/60*n**5 + d - 5*n - 1/12*n**4 - 1/6*n**2. Let p(q) = 0. Ca