 w(v) be the first derivative of -10 + t*v**4 + 0*v + 0*v**2 - 1/3*v**3. Factor w(q).
q**2*(q - 1)
Let a = -23987 + 71968/3. Determine k, given that 0 + 4/3*k**2 + 2/3*k**4 + a*k**3 - 4/3*k = 0.
-2, 0, 1/2
Let n(o) = -o**3 + 10*o**2 + o - 1. Let s = 24 + -22. Let m(x) = 2*x**2. Let i(r) = s*n(r) - 9*m(r). Find g, given that i(g) = 0.
-1, 1
Let l(c) be the second derivative of -1/25*c**5 + 0 + 26*c + 0*c**3 + 0*c**2 - 2/15*c**4. Factor l(k).
-4*k**2*(k + 2)/5
Suppose 27 = 5*c - 3*j + 6, 4*c - 3*j - 18 = 0. Let 2*l**2 + 4*l**2 + 12 + 24*l + 9*l**2 + c*l**3 = 0. What is l?
-2, -1
Let s = -11996 + 11999. Let 5/2*q**s - 5/4 + 0*q + 15/4*q**2 = 0. What is q?
-1, 1/2
Suppose -3*k + 2*q = 5 + 5, -2 = 2*q. Let f be (k/(-14))/((-3)/(-21)). Let 3/2*c**5 + 2/3*c + 0 + 37/6*c**3 + 5*c**4 + 10/3*c**f = 0. Calculate c.
-1, -2/3, 0
Let w = -51457/2 - -25730. Find m such that w*m + 1/2*m**2 + 1 = 0.
-2, -1
Let r = 49 - 44. Determine o so that 9 + r*o - 11 + 3 - 6*o**2 = 0.
-1/6, 1
Let d(c) be the third derivative of c**8/26880 + c**7/2240 + c**6/480 - c**5/15 + 6*c**2. Let x(r) be the third derivative of d(r). Let x(y) = 0. Calculate y.
-2, -1
Let u(l) = -11*l**4 + l**3 + 5*l**2 + 26*l - 3. Let h(w) = 5*w**4 - 2*w**2 - 12*w + 1. Let v(a) = -9*h(a) - 4*u(a). Solve v(m) = 0 for m.
-3, -1, 1
Let a(s) = -2*s + 1. Let d(l) = -l**3 + 12*l**2 - l - 11. Let j(q) = 3*a(q) - 3*d(q). Factor j(k).
3*(k - 12)*(k - 1)*(k + 1)
Find q, given that 2/11*q**5 - 54/11*q - 36/11*q**2 + 20/11*q**3 + 54/11 + 14/11*q**4 = 0.
-3, 1
Let t(w) = 8*w**3 - 24*w - 4. Let v(l) = -17*l**3 - l**2 + 49*l + 7. Suppose -2*q - g + 22 = -0*q, -4*g = 2*q - 10. Let b(a) = q*t(a) + 6*v(a). Factor b(d).
2*(d - 5)*(d + 1)**2
Let x(s) be the third derivative of s**6/40 + 3*s**5/4 + 27*s**4/8 + 13*s**3/2 - 3*s**2 + 1. Factor x(q).
3*(q + 1)**2*(q + 13)
Let a(b) = -4*b**5 + 15*b**4 + 10*b**3 + 6*b + 3. Let r(c) = -17*c**5 + 62*c**4 + 40*c**3 + 26*c + 13. Let p(t) = 26*a(t) - 6*r(t). Factor p(i).
-2*i**3*(i - 10)*(i + 1)
Let d(t) be the first derivative of 5*t**6/6 + 5*t**5 + 35*t**4/4 + 5*t**3 - 231. Factor d(f).
5*f**2*(f + 1)**2*(f + 3)
Let j = -41235 + 41235. Factor 1/6*z**2 + 4/3*z + j.
z*(z + 8)/6
Let t(r) be the first derivative of -r**5/5 + 21*r**4/4 + 122*r**3/3 + 102*r**2 + 104*r + 156. Suppose t(f) = 0. Calculate f.
-2, -1, 26
Let d = 121 - 117. Suppose 0 = -d*t + 6*t. Factor 0*p**2 + 1/2*p**5 - 1/2*p**3 + 0*p**4 + 0 + t*p.
p**3*(p - 1)*(p + 1)/2
Let u = 2689 - 201674/75. Let a(x) be the second derivative of 13*x + 1/25*x**5 + 0*x**2 - 1/105*x**7 + 0*x**3 - u*x**6 + 0 + 0*x**4. Factor a(v).
-2*v**3*(v - 1)*(v + 2)/5
Let f = 693 + -692. What is p in 9/2*p**2 + f + 7/2*p + 1/2*p**4 + 5/2*p**3 = 0?
-2, -1
Let p be (3/6)/((-30)/(-52)). Let s = -1/5 + p. Solve 0*t**2 + 2/3 - s*t**4 + 8/3*t - 20/3*t**3 + 4*t**5 = 0 for t.
-1, -1/2, -1/3, 1
Let y(u) = 6*u**5 - 12*u**3 - 20*u**2 - 10*u + 4. Let v(t) = 11*t**5 - 24*t**3 - 39*t**2 - 19*t + 7. Let g(k) = -4*v(k) + 7*y(k). Factor g(j).
-2*j*(j - 3)*(j + 1)**3
Let l(j) be the third derivative of j**8/6720 + j**7/336 - j**6/40 - 53*j**5/60 - 6*j**2. Let a(m) be the third derivative of l(m). Factor a(d).
3*(d - 1)*(d + 6)
Let f(u) be the first derivative of -u**6/120 - u**5/40 + 3*u**4/4 - 2*u**3/3 - 8. Let p(j) be the third derivative of f(j). Factor p(v).
-3*(v - 2)*(v + 3)
Let b be (-6 - (594/(-312) + -5)) + 12/(-16). Determine i, given that 0 - 2/13*i**5 + 0*i + b*i**3 - 2/13*i**4 + 2/13*i**2 = 0.
-1, 0, 1
Let h be (-94)/(-18) - 34/153. Let a(m) be the second derivative of 7*m**4 + 32/3*m**3 + 9/5*m**h + 8*m**2 + 0 - 4*m. Find k, given that a(k) = 0.
-1, -2/3
Factor -1/4*d**2 + 0 - 3/2*d.
-d*(d + 6)/4
Suppose 2*m - 30 = -3*f, 0*f + 4*f - 4*m = 40. Let p be 342/133 + (-8)/14. Factor -f - 3 - l - 15*l - 3 - 4*l**p.
-4*(l + 2)**2
Let a be (22382/(-360))/(-31) + -2. Let r(w) be the third derivative of 0*w - 1/72*w**4 + 0*w**3 + 8*w**2 - a*w**5 + 0. Factor r(d).
-d*(d + 1)/3
Let n = -130 + 138. Factor 10*y**3 - 6*y**2 - n*y**3 + 25 - 17.
2*(y - 2)**2*(y + 1)
Let o(z) be the first derivative of 7/3*z**3 - 5*z - 5*z**2 + 3. Let x(j) = 13*j**2 - 19*j - 11. Let w(q) = 7*o(q) - 4*x(q). Factor w(m).
-3*(m - 3)*(m + 1)
Factor 3*x**2 + 95 + 100*x + x**2 + 31 + 17 + 361.
4*(x + 7)*(x + 18)
Let d(n) be the second derivative of -n**5/20 + n**4/2 - 3*n**3/2 - 3*n**2/2 - 27*n. Let x(y) be the first derivative of d(y). Determine q so that x(q) = 0.
1, 3
Solve -1/3*y**3 + 7/3*y - 10/3 + 4/3*y**2 = 0.
-2, 1, 5
Let i be 11682/(-3906) - -1*3. Let u = 452/1953 - i. Factor 2/9*w**4 + 0*w + 0 + u*w**2 + 4/9*w**3.
2*w**2*(w + 1)**2/9
Let h(x) = -x**2 - 7*x + 3. Let m be h(-7). Solve -13*s**m + 26*s**3 - 15 + 23*s - 25*s**2 - 8*s**3 + 12*s = 0.
1, 3
Let d(o) be the second derivative of o**4/48 - o**3/24 - 3*o**2/4 - 144*o. Factor d(a).
(a - 3)*(a + 2)/4
Suppose -4*c = 3*g + 11, -c = 4*g - 8 + 1. Suppose 7*u**4 + g*u**3 + 6*u**2 - 10*u**4 + 0*u**4 = 0. Calculate u.
-1, 0, 2
Let n(a) = -54*a**4 + 267*a**3 - 535*a**2 + 384*a - 96. Let j(s) = -27*s**4 + 135*s**3 - 267*s**2 + 192*s - 48. Let m(i) = -7*j(i) + 3*n(i). Solve m(k) = 0.
2/3, 2
Let p = -8 - -12. Suppose 3*j + 4*r = 25, -p*j - 4*r + 21 = -7. Find s such that 3*s**4 - 16*s**2 + 17*s**4 + 34*s**5 - 22*s**5 - 16*s**j = 0.
-2, -2/3, 0, 1
What is g in 8/3*g - 8/3*g**2 + 32/3 - 2/3*g**3 = 0?
-4, -2, 2
Let x(n) be the third derivative of n**8/13440 - n**7/2240 + n**6/960 - n**5/960 - 23*n**3/6 + 22*n**2. Let c(a) be the first derivative of x(a). Factor c(j).
j*(j - 1)**3/8
Let t = -38 - -43. Factor -l**5 + 15*l**4 - 4*l**5 - 65*l**3 + 0*l**5 + t*l**2 + 50*l**3.
-5*l**2*(l - 1)**3
Let c(z) = z**2 + z. Suppose 4 = 4*h + 5*n - 3, -5*h + 14 = n. Let r(f) = f**2 - 33*f - 162. Let l(x) = h*c(x) - r(x). Factor l(t).
2*(t + 9)**2
Let t(k) be the second derivative of 0*k**4 + 1/30*k**5 - 4*k + 0*k**2 + 1/6*k**3 + 0 + 1/180*k**6. Let g(c) be the second derivative of t(c). Factor g(x).
2*x*(x + 2)
Let o(q) be the second derivative of q**6/1620 - q**5/180 + 23*q**3/6 + 34*q. Let z(d) be the second derivative of o(d). Factor z(s).
2*s*(s - 3)/9
Let -94 - 1499*n**4 + 346 - 432*n + 1495*n**4 + 104*n**2 + 80*n**3 = 0. What is n?
-3, 1, 21
Determine r so that -2/7*r**3 + 9/7*r**2 - 3/7*r**4 + 12/7*r + 4/7 = 0.
-1, -2/3, 2
Suppose -6 = 3*i - 8*i - c, i + 14 = -4*c. Suppose -5*y = -3*g - 150, -6*g = -i*g. Factor -12*m + 55*m**4 - 4*m**3 - y*m**4 - 48*m**2 - 11*m**3 + 50*m**4.
3*m*(m - 1)*(5*m + 2)**2
Let j(q) be the second derivative of 3/20*q**4 + 1/5*q**2 + 25*q - 1/20*q**5 + 1 + 1/150*q**6 - 7/30*q**3. Factor j(v).
(v - 2)*(v - 1)**3/5
Suppose 1056/5*j + 1014/5*j**2 + 399/5*j**3 + 12*j**4 + 3/5*j**5 + 384/5 = 0. Calculate j.
-8, -2, -1
Let k(p) be the second derivative of -1/12*p**3 - 1/8*p**2 + 10*p + 0 + 1/40*p**5 + 0*p**4 + 1/120*p**6. Factor k(l).
(l - 1)*(l + 1)**3/4
Let t = -81 + 4861/60. Let h(f) be the third derivative of -1/126*f**8 - 1/36*f**4 + 0*f**3 - 4/315*f**7 + 0 + 1/45*f**5 + 0*f + t*f**6 + 5*f**2. Factor h(g).
-2*g*(g + 1)**2*(2*g - 1)**2/3
Suppose 2*g + 5*w - 9 - 20 = 0, 12 = g + 2*w. Factor 2*n**2 - 1 - 11*n + 19*n + 5 + 2*n**g.
4*(n + 1)**2
Let i = -3/214 + 251/10272. Let y(q) be the second derivative of 1/160*q**5 - 1/4*q**2 + 0 - 1/12*q**3 + 5*q + i*q**4. Factor y(b).
(b - 2)*(b + 1)*(b + 2)/8
Let d(a) be the second derivative of a**6/60 + 13*a**5/120 - 19*a**4/72 - 13*a**3/36 + 4*a**2/3 + 22*a. Solve d(f) = 0.
-16/3, -1, 1
Let w be 6/15*240/72. Let t(o) be the first derivative of -5 + 2/15*o**5 + 5/6*o**4 + 7/3*o**2 + w*o + 2*o**3. Solve t(y) = 0.
-2, -1
Let n be (-2 - 0 - -6)/((1029/56)/49). Determine u so that -22/3*u**3 + 2*u**2 - 8/3 + n*u - 8/3*u**4 = 0.
-2, 1/4, 1
Let s be 5*((-4264)/(-325) - 13). Let 9/5*j**2 - s*j**3 + 3/5 - 9/5*j = 0. What is j?
1
Solve -1838*o**2 + 3688*o**2 - 120 - 116*o - 1846*o**2 = 0.
-1, 30
Let s(f) = -4*f + 39. Let a be s(9). Let 0 + 6/7*v + 9/7*v**a + 15/7*v**2 = 0. Calculate v.
-1, -2/3, 0
Let q(x) be the third derivative of -x**8/1344 - x**7/252 + x**6/144 + x**5/12 + 3*x**4/8 - x**2. Let y(c) be the second derivative of q(c). Factor y(m).
-5*(m - 1)*(m + 1)*(m + 2)
Let q be 2/(-3) + (-7 - 380/(-48)). Determine a, given that 1/4*a**2 + q*a + 0 = 0.
-1, 0
Let v = 1/75 + 1/50. Let a(y) be t