 + 4*n**4 + 39*n**2 - 88*n + 45*n**2 + 32 + 982*n**3 = 0.
1, 2, 4
Let g(x) be the second derivative of -15*x + 4/33*x**3 - 4/11*x**2 - 1/66*x**4 + 0. Factor g(u).
-2*(u - 2)**2/11
Suppose 4*h - 2 = 3*h. Find i, given that -9*i**4 + i**h - i**5 + 5*i**4 + 7*i**4 - 3*i**3 = 0.
0, 1
Let x(r) = 3*r**3 - 29*r**2 - 67*r - 35. Let l(y) = -39*y**3 + 378*y**2 + 873*y + 456. Let f(n) = -2*l(n) - 27*x(n). Factor f(v).
-3*(v - 11)*(v + 1)**2
Determine l so that -1/4*l**2 + 0 - 17/4*l = 0.
-17, 0
Let j(h) = -h**4 + h**3 + 2*h + 1. Let o(z) = 4*z**4 - 6*z**3 - 12*z**2 + 10*z + 3. Let u(f) = 3*j(f) - o(f). Let u(g) = 0. What is g?
-1, 0, 2/7, 2
Let p(z) be the first derivative of z**9/13608 - z**8/1890 + z**7/756 - z**6/810 + 5*z**3/3 - 8. Let i(c) be the third derivative of p(c). Factor i(g).
2*g**2*(g - 2)*(g - 1)**2/9
Factor -12*a + 2*a**3 - 84*a**2 - 3 + 2*a**4 + 74*a**2 + 3 + 2*a**3.
2*a*(a - 2)*(a + 1)*(a + 3)
Let p be ((-4)/(-16) + -1)/((-6)/(-25)). Let i = p - -157/40. Find u such that -i*u**2 + 1/5*u**5 + 6/5*u**3 + 0 + 1/5*u - 4/5*u**4 = 0.
0, 1
Let z(w) be the first derivative of -4*w**4/15 - 38*w**3/45 + 6*w**2/5 + 6*w/5 + 52. Let z(o) = 0. Calculate o.
-3, -3/8, 1
Let 18537 + 10*c + 18540 - c**2 - 37098 = 0. What is c?
3, 7
Let i(q) = -q + 1. Let z(o) = 4*o**2 + 4*o - 8. Suppose -2 = x - 3. Let p(w) = x*z(w) + 4*i(w). Factor p(m).
4*(m - 1)*(m + 1)
Let h(d) be the first derivative of 25/3*d**3 - 10 + 0*d + 0*d**2 + 5/4*d**4. Factor h(a).
5*a**2*(a + 5)
Let y = -17477 - -17479. Solve -2*b**5 + 4/5*b**3 + 0*b - 6/5*b**4 + 0*b**y + 0 = 0.
-1, 0, 2/5
Let s be 779/171 - (-4)/9. Let l(z) be the third derivative of 2*z**2 + 1/150*z**s - 1/30*z**4 + 1/15*z**3 + 0*z + 0. Solve l(i) = 0 for i.
1
Let k(n) = -13*n**2 + 33*n + 5. Let a(d) = -10*d**2 + 32*d + 4. Let g(m) = 5*a(m) - 4*k(m). Factor g(j).
2*j*(j + 14)
Factor -3*p**5 - 23*p**3 - 135*p - 495*p**3 + 104*p**3 - 408*p**2 - 144*p**4 + 0*p**5.
-3*p*(p + 1)**3*(p + 45)
Let b(g) = -2*g**3 + 111*g**2 + 4329*g + 54878. Let p(v) = -5*v**3 + 334*v**2 + 12988*v + 164632. Let c(j) = 8*b(j) - 3*p(j). Factor c(w).
-(w + 38)**3
Let h(r) be the third derivative of r**10/30240 + r**9/7560 + r**8/6720 - 5*r**4/6 + 2*r**2. Let z(q) be the second derivative of h(q). Factor z(x).
x**3*(x + 1)**2
Let s(p) be the second derivative of 0*p**3 + 0*p**2 - 1/3*p**4 + 0 + 10*p. What is c in s(c) = 0?
0
Let t(q) = -76*q - 2736. Let b be t(-36). Factor 0 + 2/7*c**3 - 4/7*c**2 + b*c.
2*c**2*(c - 2)/7
Let v = -67 + 79. Let z(a) be the first derivative of -14*a**2 - a**4 + 20/3*a**3 + v*a - 3. Suppose z(f) = 0. Calculate f.
1, 3
Suppose t - 2*c + 398 = 418, t = 5*c + 44. Factor 32/5 + 192/5*u + 10*u**t + 368/5*u**2 + 48*u**3.
2*(u + 2)**2*(5*u + 2)**2/5
Let i(v) = v + 4. Let b be i(5). Let c = 13 - b. Find o, given that 6*o**4 + 2*o**4 - 8*o**2 + c*o**3 - 10*o + 2*o + 2*o + 2*o**5 = 0.
-3, -1, 0, 1
Let h(o) = 7*o**2 + 39*o + 78. Let b(q) = 6*q**2 + 39*q + 75. Let d(g) = 4*b(g) - 3*h(g). Factor d(f).
3*(f + 2)*(f + 11)
Suppose 47 = 4*j + 119. Let f = 18 + j. Factor 1/3*c + 1/3*c**4 + f + c**2 + c**3.
c*(c + 1)**3/3
Let p(x) = 2*x**2 + 6*x + 7. Let q be p(-2). Factor 4*w**5 - 32*w**3 + 4*w**4 + 34*w**q - 2*w**5.
2*w**3*(w + 1)**2
Let m = -711 + 2134/3. Factor -1 - m*j**2 + 4/3*j.
-(j - 3)*(j - 1)/3
Let u be 1 + (3 - 1)/2. Suppose -a + 6 = u*a. Suppose s + 3*s**3 + 3*s**a + 0*s**3 + s**4 + 0*s**3 + 0*s**3 = 0. Calculate s.
-1, 0
Let v be 138/161*10/15. Factor -2/7*s + v - 2/7*s**2.
-2*(s - 1)*(s + 2)/7
Let n = -2123/1932 - -5/322. Let i = n + 4/3. Factor -9/4 - 3/2*q - i*q**2.
-(q + 3)**2/4
Let i(y) be the first derivative of 0*y - 9 - 1/9*y**3 - 1/6*y**2. Find h such that i(h) = 0.
-1, 0
Factor 6/7 + 1/7*y**2 + 5/7*y.
(y + 2)*(y + 3)/7
Let f(n) be the second derivative of 11/9*n**4 + 1/45*n**6 + 4/15*n**5 + 8/3*n**3 + 0 - n + 3*n**2. Let f(d) = 0. Calculate d.
-3, -1
Let j be (-4 - 0) + 6/((-1824)/(-1436)). Let g = j - -1/38. Find y such that -g*y**2 + 3/4 + 9/4*y - 9/4*y**3 = 0.
-1, -1/3, 1
Let j(y) = 6*y**2 + 10*y + 8. Let x(c) = -14*c**2 - 21*c - 13. Let i(s) = -9*j(s) - 4*x(s). Suppose i(g) = 0. Calculate g.
-2, 5
Suppose -9 = 5*j - 19. Suppose 2*c - 6*c - 3*r + 14 = 0, -j = -2*c + r. Factor -c*g**4 - 16*g**3 + 7*g**3 - 3*g**4 - 2*g + g**5 - 2*g**5 - 7*g**2.
-g*(g + 1)**3*(g + 2)
Let o = 31 - 27. Factor 20*h**2 - 8*h - 5*h**3 - 2*h**3 + o*h**4 - 9*h**3.
4*h*(h - 2)*(h - 1)**2
Factor -1/6*z**2 + 5/6*z + 1.
-(z - 6)*(z + 1)/6
Let m(h) be the second derivative of -h - 1/36*h**4 + 0 + 0*h**3 + 1/180*h**5 - 4*h**2. Let o(j) be the first derivative of m(j). Find c such that o(c) = 0.
0, 2
Let u(m) be the first derivative of 2*m**3/21 + 400*m**2/7 + 80000*m/7 + 557. Factor u(v).
2*(v + 200)**2/7
Suppose -1082*l - 1044*l**2 - 838*l - 43*l**3 - 439 - 62*l**3 + 705 - 3*l**4 + 2806 = 0. What is l?
-16, -4, 1
Let r(m) be the third derivative of -m**6/30 - m**5/3 - m**4 + 35*m**2 - 1. Factor r(d).
-4*d*(d + 2)*(d + 3)
Let 3*y**2 + 4 - 20/3*y - 1/3*y**3 = 0. What is y?
1, 2, 6
Let a(b) = -2*b**3 - 162*b**2 + 318*b - 157. Let k(x) = -2*x**3 - 160*x**2 + 318*x - 158. Let l(m) = 2*a(m) - 3*k(m). Let l(d) = 0. What is d?
-80, 1
Factor -20/9*h + 0 + 2/9*h**4 - 14/9*h**2 + 8/9*h**3.
2*h*(h - 2)*(h + 1)*(h + 5)/9
Let j(a) be the first derivative of -a**4/7 - 8*a**3/21 - 2*a**2/7 + 5. Factor j(k).
-4*k*(k + 1)**2/7
Let k be (-36)/(-7) + (-1)/7. Let r(m) be the second derivative of 1/3*m**4 - 2*m**2 + 3/10*m**k + 0 - 3*m - m**3. Solve r(x) = 0.
-1, -2/3, 1
Factor 0 + 33/7*m + 1/7*m**2.
m*(m + 33)/7
Let f(d) = -2*d**4 + 46*d**3 + 130*d**2 + 124*d + 47. Let h(a) = -9*a**4 + 231*a**3 + 651*a**2 + 621*a + 234. Let s(l) = -24*f(l) + 5*h(l). Factor s(p).
3*(p + 1)**3*(p + 14)
Suppose 15*m = 16*m - 94. Let y = 98 - m. Factor 1/4*r**5 - 1/4*r**2 + 1/4*r**y + 0*r - 1/4*r**3 + 0.
r**2*(r - 1)*(r + 1)**2/4
Let u be (-74)/(-14) - -1 - (-92)/(-19 - 4). Determine k, given that 0*k + 200/7*k**3 + 0 + 116*k**4 + 154*k**5 + u*k**2 = 0.
-2/7, -2/11, 0
Let v(h) be the first derivative of 8*h**3/9 - 5*h**2/3 - 4*h - 37. Find t, given that v(t) = 0.
-3/4, 2
Suppose -52*z + 48*z - 24 = 2*q, 2*z = -3*q - 12. Let -5/3*j**3 + 10/9*j**2 - 8 + 1/9*j**5 + 20/3*j + q*j**4 = 0. What is j?
-3, 2
Factor 6*p**2 - 8 - 17*p**4 + 28*p - 52*p**3 + 33*p**3 + 10*p**4.
-(p - 1)*(p + 2)**2*(7*p - 2)
Let m(z) = -4*z - 17. Let y be m(-5). Solve -184*w**2 + 3*w**3 + 180*w**2 + w**y - 8*w = 0 for w.
-1, 0, 2
Suppose g = 15 + 1. Suppose 4*f - 42*f**2 - 6*f + g*f**2 + 20*f**2 = 0. Calculate f.
-1/3, 0
Let h be (-32)/(-90) - (32/(-20) + 2). Let f = 37/180 - h. Suppose 1/2 + 1/4*j - f*j**2 = 0. What is j?
-1, 2
Let b(s) be the first derivative of -3*s**5/40 - 3*s**4/16 + 3*s**3/8 + 11. Find l, given that b(l) = 0.
-3, 0, 1
Factor -7 + 648*w**2 - 650*w**2 - 7 + 16*w.
-2*(w - 7)*(w - 1)
Let k(q) be the third derivative of -q**7/420 + q**6/36 - q**5/20 - 3*q**4/4 + 5*q**3/3 + 4*q**2. Let j(c) be the first derivative of k(c). Factor j(i).
-2*(i - 3)**2*(i + 1)
Let q(x) be the second derivative of -x**4/60 + x**3/15 - x**2/10 - 11*x. Find v, given that q(v) = 0.
1
Let v(c) be the first derivative of -2/15*c**5 + 0*c + 0*c**2 + 0*c**3 - 1/6*c**4 - 3. Let v(g) = 0. What is g?
-1, 0
Let n = 3551/5915 + -2/5915. Suppose -n*a**2 - 18/5*a - 3 = 0. What is a?
-5, -1
Let y(k) be the third derivative of -k**6/120 - 41*k**5/5 - 3362*k**4 - 2205472*k**3/3 - 322*k**2. Suppose y(s) = 0. Calculate s.
-164
Let m(r) = 3*r + 23. Let d be m(-7). Let i(w) be the first derivative of 2/3*w**3 + 0*w**d + 8 - 1/5*w**5 + 0*w**4 - w. Suppose i(j) = 0. Calculate j.
-1, 1
Factor -4/9*q + 4/9*q**3 + 2/9*q**2 - 2/9*q**4 + 0.
-2*q*(q - 2)*(q - 1)*(q + 1)/9
Let s(q) be the first derivative of q**7/210 - q**6/40 + q**5/20 - q**4/24 + q**2 - 2. Let c(o) be the second derivative of s(o). Factor c(f).
f*(f - 1)**3
Factor 5*j**4 - 3*j**5 + j**5 - 433*j**2 + 417*j**2 + 5*j**4 + 4*j**3 + 4*j**5.
2*j**2*(j - 1)*(j + 2)*(j + 4)
Solve -225*c**3 - 87*c**3 + 99*c**2 - 3*c**5 + 705*c**3 + 93*c**4 - 198*c**3 = 0.
-1, 0, 33
Let f(w) be the first derivative of 3*w**4/28 + w**3/7 - 108*w**2/7 + 987. Factor f(t).
3*t*(t - 8)*(t + 9)/7
Let k(t) be the third derivative of t**7/945 - t**6/108 + 4*t**5/135 - t**4/27 - 37*t**2 - t. Let k(f) = 0. Calcula