, -2, -1/2, 1/4, 1
Factor p**5 - p**5 + p**2 - 3*p**2 - 2*p**5 + 2*p**4 + 2*p**3.
-2*p**2*(p - 1)**2*(p + 1)
Let y(x) = -x**2 - x. Let a(s) = -30*s**2 - 20*s. Let c(l) = a(l) - 25*y(l). Factor c(d).
-5*d*(d - 1)
Let m be ((-59)/(-472))/((-9)/(-8)). Let w(n) be the second derivative of m*n**4 + 6*n - 1/27*n**3 - 2/9*n**2 + 0. Determine q so that w(q) = 0.
-1/2, 2/3
Let d(n) be the second derivative of n**7/252 - n**6/45 + n**5/30 - 31*n. Factor d(a).
a**3*(a - 2)**2/6
Let h = 21529 + -21529. Factor -9/4*r**2 - 11/4*r**4 + 1/2*r + 15/4*r**3 + h + 3/4*r**5.
r*(r - 1)**3*(3*r - 2)/4
Let y be (15/10)/((-1)/(32/(-24))). Factor -8/11 + 0*x + 2/11*x**y.
2*(x - 2)*(x + 2)/11
Let s(o) be the second derivative of -3*o**4/28 + o**3/7 - 3*o + 37. Let s(n) = 0. What is n?
0, 2/3
Let l = 2/68177 - -16567003/272708. Let l + 405/8*z - 3/8*z**5 - 15/4*z**4 - 45/4*z**3 + 0*z**2 = 0. Calculate z.
-3, 2
Let g(u) = -u**3 - 11*u**2 + 3*u + 3. Suppose 0 = -v + 4*v - 18. Let q(o) = o**2 - o + 1. Let y(a) = v*q(a) + g(a). Factor y(r).
-(r - 1)*(r + 3)**2
Let n be 6*(0 + (-2)/(-4)). Let l be 18*(0 - ((-2)/(-4) - 1)). Solve l*g**2 - 3*g**3 + n + g**2 - 8*g - g**2 - g = 0 for g.
1
Let a be (21/70)/((-6)/38). Let o = -2/5 - a. Find g, given that -3*g - 3/2*g**4 + o + 3*g**3 + 0*g**2 = 0.
-1, 1
Factor -27 - 1521*h**2 - 14 - 40*h + 1522*h**2.
(h - 41)*(h + 1)
Suppose -5*r + 2*f + 14 = 0, 5 - 7 = 4*r + 5*f. Factor -3/4*w**r + 3/4 - 3/4*w + 3/4*w**3.
3*(w - 1)**2*(w + 1)/4
Solve 8800/7*a + 844/7*a**3 + 8000/7 + 3860/7*a**2 + 4/7*a**5 + 92/7*a**4 = 0.
-5, -4
Let l = 48 - 29. Factor 4 - 20 - l - 3*m**2 + 18*m + 8.
-3*(m - 3)**2
Determine v so that 21*v**2 - 150*v**3 - 11*v - 40 + 308*v**3 - 7*v - 159*v**3 = 0.
-1, 2, 20
Suppose 24 = h - 5*t - 0*t, 2*h - 12 = t. Let z = -2741/3 - -915. Solve 1/3*b**5 + 0*b + 0*b**2 + 0 + z*b**h + 4/3*b**3 = 0.
-2, 0
Let a(t) be the second derivative of -5*t**7/168 - t**6/60 + 5*t**5/8 + 5*t**4/12 - 15*t**3/8 - 9*t**2/4 + 5*t + 31. Let a(r) = 0. Calculate r.
-3, -1, -2/5, 1, 3
Let c(f) be the third derivative of 28*f**2 - 55/24*f**4 - 7/24*f**6 + 4/3*f**5 + 5/3*f**3 + 0*f + 0. Factor c(z).
-5*(z - 1)**2*(7*z - 2)
Let v be 4*(-25)/30*3. Let p be 6/v*(-84)/63. Factor 0*l**2 + 2/5*l**4 + 4/5*l**3 - 2/5 - p*l.
2*(l - 1)*(l + 1)**3/5
Let -2*t - 3 - 3*t**2 + 3 - t = 0. Calculate t.
-1, 0
Let s(g) be the second derivative of -g**6/120 - g**5/20 - g**4/8 - g**3/6 + 13*g**2/2 - 6*g. Let r(j) be the first derivative of s(j). Factor r(i).
-(i + 1)**3
Let p(v) = -v**3 - 3*v**2 - 11*v - 9. Let i be p(-1). What is z in -6/5*z**2 + i*z + 4*z**3 - 6/5*z**4 + 0 = 0?
0, 1/3, 3
Let a(h) be the third derivative of 0 + 1/336*h**8 - 12*h + h**2 + 1/30*h**5 - 1/210*h**7 + 1/24*h**4 - 1/60*h**6 - 1/6*h**3. Solve a(i) = 0 for i.
-1, 1
Factor -8*m**3 - 1147*m + 2*m**4 + 133*m + 37*m**3 - 71*m**3 + 494*m**2 - 16*m**3.
2*m*(m - 13)**2*(m - 3)
Let f(h) be the second derivative of -2/3*h**3 - 7/12*h**4 + 0 + 0*h**2 - 1/10*h**5 + 25*h + 1/30*h**6. Solve f(a) = 0.
-1, 0, 4
Let q(v) be the third derivative of v**7/840 + 7*v**6/1080 + v**5/72 + v**4/72 - 2*v**3 - 11*v**2. Let c(t) be the first derivative of q(t). Factor c(k).
(k + 1)**2*(3*k + 1)/3
Let s(d) be the third derivative of d**5/300 + d**4/10 + 11*d**3/30 - 159*d**2. Suppose s(p) = 0. Calculate p.
-11, -1
Let a(h) be the second derivative of h**6/60 - h**5/20 + h**3/6 - h**2/4 - 100*h. Factor a(s).
(s - 1)**3*(s + 1)/2
Let g(t) be the second derivative of -t**6/165 + 17*t**5/110 + 19*t**4/22 + 59*t**3/33 + 20*t**2/11 - 2*t - 41. Factor g(v).
-2*(v - 20)*(v + 1)**3/11
Let m(a) be the first derivative of -2*a**3/33 + 52*a**2/11 - 102*a/11 - 140. What is d in m(d) = 0?
1, 51
Let w(y) = -y**3 + 3*y**2 - 2. Let k(u) = -6*u**3 + 15*u**2 - 9. Suppose 0 = 2*m - 1 + 5. Let g(s) = m*k(s) + 11*w(s). Factor g(b).
(b - 1)*(b + 2)**2
Let h(q) = q**3 - 3*q**2 + 2*q + 2. Let c be h(2). Suppose 4*t - 117 = -105. Factor -2*x**3 + 0*x**2 + 3*x**t - x**5 + 14*x**4 - 12*x**4 - c*x**2.
-x**2*(x - 2)*(x - 1)*(x + 1)
Let g(r) = -7*r**3 + 3*r**2 + 3*r + 4. Let t(k) = -54*k**3 + 22*k**2 + 23*k + 32. Let w(d) = 46*g(d) - 6*t(d). Factor w(i).
2*(i - 1)*(i + 2)**2
Let z(d) be the first derivative of 0*d**2 + 0*d - 10 + 2/45*d**3. Determine g so that z(g) = 0.
0
Let h(b) be the second derivative of -5*b**4/12 - 25*b**3/3 - 45*b**2/2 - 14*b + 2. Factor h(m).
-5*(m + 1)*(m + 9)
Let d(c) be the second derivative of c**7/42 - 7*c**6/15 + 23*c**5/10 + 11*c**4/3 - 175*c**3/6 + 49*c**2 + 20*c + 1. Determine n, given that d(n) = 0.
-2, 1, 7
Suppose 4*g + 8*d = 6*d + 28, -g = 2*d - 13. Let t(h) be the second derivative of 0*h**2 + 1/18*h**4 - 1/30*h**g + 0*h**3 + 0 - 2*h. Factor t(k).
-2*k**2*(k - 1)/3
Let j(r) be the first derivative of 26 + 3/4*r**3 - 3/2*r - 3/8*r**2. Let j(p) = 0. Calculate p.
-2/3, 1
Let a(v) = -v**5 - v**4 + v**3 - 2*v**2 + v - 1. Let u(n) = 8*n**4 + 20*n**3 + 25*n**2 + n + 3. Let l(w) = -3*a(w) - u(w). Factor l(m).
m*(m - 4)*(m + 1)**2*(3*m + 1)
Let g be 2 - -3*28/42. Factor 2*u**2 + 4/5*u + 8/5*u**3 + 0 + 2/5*u**g.
2*u*(u + 1)**2*(u + 2)/5
Let j = 358 + -226. Let y = -130 + j. What is n in -6/7 - 4/7*n**2 - y*n = 0?
-3, -1/2
Find h, given that -46*h**2 + 63*h + 16*h**2 - 25*h**3 + 54 - 3*h**5 - 35*h**3 - 2*h**4 - 22*h**4 = 0.
-3, -2, -1, 1
Let g be 1914/(-28)*(1 + (-35)/15). Let j = g + -90. What is p in -4/7*p**4 - 36/7 + 48/7*p + j*p**2 - 16/7*p**3 = 0?
-3, 1
Let l(z) = -15*z**3 - 39*z**2 - 21*z + 1215. Let y(b) = 12*b**3 + 39*b**2 + 22*b - 1215. Let k(j) = -5*l(j) - 6*y(j). Determine v so that k(v) = 0.
-5, 9
Let y be 38/5 - 3/5. Let u(k) = -k**3 + 8*k**2 - 7*k + 1. Let p be u(y). Let -p + 2 - 2*q**2 + 1 = 0. Calculate q.
-1, 1
Let i(k) = -k**3 - 2*k**2 + 2*k + 1. Suppose 0*l + 5 = -5*l. Let j(o) = -o**2 + o. Let r(c) = l*j(c) + i(c). Suppose r(p) = 0. What is p?
-1, 1
Let b(p) be the second derivative of p**5/160 - 17*p**4/32 + 289*p**3/16 + 21*p**2/2 + 54*p. Let q(w) be the first derivative of b(w). Factor q(t).
3*(t - 17)**2/8
Let b(y) be the second derivative of 16/7*y**3 + 13/42*y**4 + 44*y + 1/70*y**5 + 36/7*y**2 + 0. Factor b(d).
2*(d + 1)*(d + 6)**2/7
Let u(p) = 268*p**2 + 1058*p + 43. Let n(v) = -803*v**2 - 3178*v - 128. Let l(a) = 3*n(a) + 8*u(a). Factor l(x).
-5*(x + 4)*(53*x + 2)
Let j(o) be the second derivative of o**7/20160 + o**6/1920 + o**5/480 - o**4/12 - 11*o. Let p(l) be the third derivative of j(l). Factor p(c).
(c + 1)*(c + 2)/8
Factor 59/6 - 1/6*y**2 - 29/3*y.
-(y - 1)*(y + 59)/6
Let r(n) be the first derivative of -n**4/2 + 13*n**2 - 24*n - 145. What is o in r(o) = 0?
-4, 1, 3
What is y in 0*y + 38/13*y**4 + 0 + 16/13*y**2 + 60/13*y**3 + 6/13*y**5 = 0?
-4, -2, -1/3, 0
Let x(r) be the third derivative of -r**8/336 + r**7/30 + r**6/60 - 23*r**5/30 - 65*r**4/24 - 25*r**3/6 + 76*r**2. Factor x(s).
-(s - 5)**2*(s + 1)**3
Let h(b) = 29*b + 580. Let v be h(-20). Find y such that 0*y**2 - 1/5*y**5 - 1/5*y + v + 2/5*y**3 + 0*y**4 = 0.
-1, 0, 1
Suppose -3*z + 6*z = 12. Let d(m) = -m**3 - 12*m**2 - 9*m + 22. Let a be d(-11). Factor 0*h**3 + a*h**4 - 4*h**3 + 2*h**2 + 2*h**z.
2*h**2*(h - 1)**2
Determine h, given that -510*h**3 + 5*h**4 + 13356*h**2 - 6*h**4 - 13228*h**2 - 3*h**4 - 4*h**4 = 0.
-64, 0, 1/4
Let r(m) be the first derivative of m**5/165 - 5*m**4/44 + 7*m**3/33 + 6*m**2 - 21. Let n(t) be the second derivative of r(t). Find y, given that n(y) = 0.
1/2, 7
Let t = 2092 - 6274/3. Solve -t*v**2 + 0*v**3 + 1/3*v**4 + 0*v + 1/3 = 0 for v.
-1, 1
Let c(k) = -8*k**2 - 27*k - 40. Let w(z) = 2*z**2 + 3*z. Let h(g) = -c(g) - 3*w(g). Factor h(i).
2*(i + 4)*(i + 5)
Suppose -7*q + 27 = 2*q. Factor 45*z**4 + 131*z**q - 418*z - 142*z + 205*z**3 + 100 - 9*z**4 + 664*z**2.
4*(z + 5)**2*(3*z - 1)**2
Let c = -893 - -898. Let k(r) be the third derivative of -1/600*r**c + 1/1200*r**6 + 1/60*r**3 + 0*r + 0 - r**2 - 1/240*r**4. Factor k(w).
(w - 1)**2*(w + 1)/10
Let l(i) be the second derivative of -i**6/2520 + i**5/280 - i**4/84 - 11*i**3/2 - 30*i. Let u(y) be the second derivative of l(y). Factor u(f).
-(f - 2)*(f - 1)/7
Let q(f) be the third derivative of -f**8/168 + 2*f**7/105 + 4*f**6/15 - 19*f**5/15 - 5*f**4/4 + 12*f**3 + 47*f**2 - 1. Solve q(j) = 0.
-4, -1, 1, 3
Let t(b) be the first derivative of 2*b**5/85 - b**4/17 - 2*b