2*u**4 + 24*u**3/5 + 31*u**2 + 20*u. Determine t so that f(t) = 0.
-6, 2, 3
Let d(s) be the second derivative of 1/10*s**5 + 0*s**2 + 0 + 0*s**4 + 4/3*s**3 + 1/120*s**6 - 9*s. Let a(w) be the second derivative of d(w). Factor a(v).
3*v*(v + 4)
Let j(h) be the third derivative of h**6/120 + 103*h**5/60 + 99*h**4 - 2430*h**3 - 213*h**2 + 3*h. Suppose j(s) = 0. What is s?
-54, 5
Let y(r) be the first derivative of r**5/150 + 2*r**4/5 - 5*r**3/3 + r**2/2 + r + 178. Let d(l) be the second derivative of y(l). Find m, given that d(m) = 0.
-25, 1
Let f be 4/45*9945/306 - (-2 + 4). Let b = -997/9 - -111. Factor -f*k + 8/9 + b*k**2.
2*(k - 2)**2/9
Let c(j) = 25*j**2 - 1159*j - 110585. Let y(h) = 21*h**2 - 1158*h - 110586. Let n(v) = -6*c(v) + 7*y(v). Factor n(l).
-3*(l + 192)**2
Let r(l) be the third derivative of 0 + 1/180*l**5 - 1/3*l**3 + 1/72*l**4 + 5*l**2 - 19*l. Factor r(f).
(f - 2)*(f + 3)/3
Suppose 8*a + 24 = 14*a. Suppose 3*u + a*q - 7 = -0*q, 3*q = 4*u - 26. Find j, given that 0*j - 2 - 2*j**3 + j**4 + j - j**2 + 5*j**2 + j**u - 3*j**4 = 0.
-1, 1, 2
Determine d so that -385*d**2 + 540*d + 30*d**3 - 144 + 45*d**4 + 9495*d**5 - 9505*d**5 - 36 = 0.
-3, 1/2, 2, 3
Let a(i) be the first derivative of -i**5/5 - 9*i**4 - 133*i**3/3 - 81*i**2 - 64*i - 14505. Determine l, given that a(l) = 0.
-32, -2, -1
Let c(b) be the second derivative of 2/21*b**7 + 0*b**4 + 0*b**2 - 106*b + 8/15*b**6 + 0*b**3 - b**5 + 0. Factor c(h).
4*h**3*(h - 1)*(h + 5)
Let p(s) = 47*s + 2. Let a be p(1). Let x be 238/a - 1/(-7). Solve 45*t**2 - 3 + 21*t + 12*t**4 + x*t**3 + 6 + 17*t**3 + 17*t**3 = 0 for t.
-1, -1/4
Let i = 26745 + -26745. Let j(l) be the third derivative of -7/40*l**6 - 6/35*l**7 + 0*l**3 + 1/10*l**5 + 39*l**2 + 45/112*l**8 + 0*l + i*l**4 + 0. Factor j(d).
3*d**2*(3*d - 1)**2*(5*d + 2)
Let u(y) = -33*y**4 - 150*y**3 - 537*y**2 - 828*y - 558. Let a(h) = 13*h**4 + 60*h**3 + 215*h**2 + 332*h + 223. Let s(x) = -18*a(x) - 7*u(x). Factor s(o).
-3*(o + 2)**2*(o + 3)**2
Let -842 - 4*z**3 + 2523 - 747 - 806 - 68*z**2 - 56*z = 0. Calculate z.
-16, -2, 1
Solve 0 - 3*v - 2*v**4 + 19/2*v**2 + 21/2*v**3 = 0.
-1, 0, 1/4, 6
Let k(j) = j - j**3 + 2267 - 2267 + 2*j**2. Let a(q) = -2*q**3 + 14*q - 6. Let c(x) = -2*a(x) + 6*k(x). Suppose c(f) = 0. What is f?
1, 2, 3
Let i(l) = -2064*l + 146546. Let m be i(71). Determine v so that -3/2*v**3 - 1/2*v**5 + 5/2*v**2 + 0 - 5/2*v**4 + m*v = 0.
-4, -1, 0, 1
Let h(a) = a**3 + 32*a**2 - 33*a + 4. Let x be h(-33). Suppose -x = -5*r + r + k, -4*r = -2*k - 8. Find t, given that -3/7*t**3 + r + 0*t**2 + 12/7*t = 0.
-2, 0, 2
Let j = -49 + 49. Let v = j - -2. Solve 322*a**4 + 12*a**3 + 18*a**v + 0*a**3 + 12*a - 319*a**4 + 3 = 0.
-1
Let j(g) be the third derivative of 0*g + 2 + 1/6*g**5 - 1/24*g**6 - 1/42*g**7 + 7*g**2 + 0*g**4 + 0*g**3. Find r, given that j(r) = 0.
-2, 0, 1
Let u(d) be the first derivative of -d**6/9 + 8*d**5/5 + 8*d**4/3 - 76*d**3/9 - 5*d**2 + 52*d/3 - 438. Find h such that u(h) = 0.
-2, -1, 1, 13
Let n(t) = t**2 - 222*t + 3354. Let k(d) = 2*d**2 - 869*d + 13413. Let h(i) = -2*k(i) + 9*n(i). Factor h(r).
5*(r - 28)*(r - 24)
Factor 1/5*u**4 + 4*u**2 + 0*u + 12/5*u**3 + 0.
u**2*(u + 2)*(u + 10)/5
Let h(r) be the third derivative of 3/100*r**6 + 78*r**2 + 3 + 4/525*r**7 + 1/25*r**5 + 0*r**3 + 1/60*r**4 + 0*r. Factor h(u).
2*u*(u + 1)**2*(4*u + 1)/5
Let l(z) = 0*z**2 + 5*z - z + 2 - z**2. Let w be 52/10 - ((-576)/45)/16. Let c(a) = -4*a**2 + 15*a + 8. Let b(y) = w*c(y) - 22*l(y). Factor b(x).
-2*(x - 2)*(x + 1)
Suppose c - z - 40 = 0, -c - c + 68 = z. Let p(l) = 2*l**3 - l**2 - 2. Let a(f) = -34*f**3 - 8*f**2 + 70*f + 134. Let m(w) = c*p(w) + 2*a(w). Factor m(x).
4*(x - 7)**2*(x + 1)
Let b(k) be the third derivative of -15*k**2 - 1/12*k**4 - 6/11*k**3 - 1/330*k**5 + 0 + 0*k. Factor b(w).
-2*(w + 2)*(w + 9)/11
Let d(i) be the second derivative of -i**2 + i + 0 - 1/10*i**5 - i**3 - 1/2*i**4. Factor d(v).
-2*(v + 1)**3
Factor -199*v**2 + 12*v**4 + 9*v**4 - 48*v**3 - 113*v**2 - 204 - 26*v**4 - 464*v + 9*v**4.
4*(v - 17)*(v + 1)**2*(v + 3)
Let j(y) = -y**2 + y - 1. Let s(d) = 6*d**2 - 7*d + 8. Let a = -138 + 226. Let q = 67 - a. Let w(g) = q*j(g) - 3*s(g). Factor w(r).
3*(r - 1)*(r + 1)
Let b(a) = 7*a**2 + 194*a - 63. Let r(x) = 7*x**2 + 194*x - 62. Let z(c) = 6*b(c) - 7*r(c). Determine v so that z(v) = 0.
-28, 2/7
Suppose -4*l + 3*x - 69 = -8*l, -5*l - 5*x = -85. Suppose 14 = 5*r - p - 8, p - l = -3*r. Factor 31*g**3 + 2*g**4 + 8*g**4 - 36*g**3 - 10*g**2 + r*g**5.
5*g**2*(g - 1)*(g + 1)*(g + 2)
Let q(r) be the third derivative of -1/150*r**5 - 6/5*r**4 + 0 + 0*r - 432/5*r**3 + 79*r**2. Let q(t) = 0. What is t?
-36
Let y(d) = -115*d**2 - 9088*d - 235. Let v be y(-79). Factor 11/6*q + 1/6*q**v - 7.
(q - 3)*(q + 14)/6
Let i(p) be the first derivative of p**6/6 - 3*p**5/4 + 5*p**4/4 - 5*p**3/6 + 65*p - 59. Let b(h) be the first derivative of i(h). Factor b(o).
5*o*(o - 1)**3
Suppose -2*v + 6*v + 648 = 0. Let y be v/(-45) + 4/10. Factor 2*k**2 - 3*k**y - 2*k**2 + 3*k**2.
-3*k**2*(k - 1)*(k + 1)
Solve -33800/3*l - 174*l**3 + 11440*l**2 + 0 + 2/3*l**4 = 0 for l.
0, 1, 130
Let k(i) = 12*i**2 + 0*i**2 + 16*i - 13*i**2. Let a(m) = -10*m + 2 - 2 + 2*m. Let u(d) = 5*a(d) + 2*k(d). Factor u(w).
-2*w*(w + 4)
Let t = 883311 + -883179. Factor -526/3*y**2 - 1/3*y**4 - t*y + 968/3 - 15*y**3.
-(y - 1)*(y + 2)*(y + 22)**2/3
Let x = 15961 + -127685/8. Let a(b) be the first derivative of -x*b**2 - 1/2*b + 30 + 1/20*b**5 + 1/12*b**3 + 3/16*b**4. Factor a(m).
(m - 1)*(m + 1)**2*(m + 2)/4
Factor 307/8*o - 38*o**2 - 1/2*o**3 - 77/8.
-(o + 77)*(2*o - 1)**2/8
Let z(l) = -2*l**2 + 23*l + 56. Let j be z(15). Let a be -7*7/j*0. Factor a*h + 1/3 - 1/3*h**2.
-(h - 1)*(h + 1)/3
Let j(t) = 24*t**3 - 8*t**2 + 7*t + 2. Let s be j(5). Factor -s + 2837 - 4*o - 46*o**2.
-2*o*(23*o + 2)
Suppose -48 = -x - 51. Let z be 4/22*(10 + -7 - x). Find t such that 2/11*t**4 - 16/11*t - z*t**2 - 6/11 + 0*t**3 = 0.
-1, 3
Let q = -61659 + 801585/13. Solve -q*z - 12/13*z**2 - 2/13*z**3 - 8/13 = 0 for z.
-4, -1
Let q be (78 + -80)*739*1. Let a = q + 7393/5. Factor -12/5*u + a*u**2 + 9/5.
3*(u - 3)*(u - 1)/5
What is t in -171/7*t - 3/7*t**2 + 354/7 = 0?
-59, 2
Let m(g) be the second derivative of 2*g**6/15 - 3*g**5/5 + 873*g + 1. Factor m(y).
4*y**3*(y - 3)
Let p be -1*(-4 - -3)*(-4 + 16). Let u(s) be the third derivative of 0 + 0*s + 1/40*s**6 - 1/20*s**5 - 1/8*s**4 + p*s**2 + 1/2*s**3. Factor u(n).
3*(n - 1)**2*(n + 1)
Let s(f) be the second derivative of -71*f + 16/3*f**3 + 0 - 1/3*f**4 - 24*f**2. Determine a so that s(a) = 0.
2, 6
Let x(v) be the first derivative of 4*v**3/3 + 4*v**2 - 96*v - 15129. Factor x(y).
4*(y - 4)*(y + 6)
Let a be (13 + -20)*-8*9/42. Let q be a*(-7)/210*-4. Factor 0*d - 8/15*d**2 + 0 - q*d**3 - 6/5*d**4.
-2*d**2*(3*d + 2)**2/15
Let j be (-194)/16 + 12 - (-1)/24*3. Factor j*b**2 - 1/3*b**3 - 2 + 7/3*b.
-(b - 2)*(b - 1)*(b + 3)/3
Find x such that 3/5*x**5 - 63/5*x**4 + 33*x**3 - 168/5*x - 9*x**2 + 108/5 = 0.
-1, 1, 2, 18
Let l be (-5 - (8 + -19))*-46. Let v = l - -321. Determine h so that 3/2*h**5 + 36*h + 66*h**2 + v*h**3 + 27/2*h**4 + 0 = 0.
-3, -2, 0
Suppose -7*b - 83 = -24*b - 32. Let m(k) be the first derivative of 3/5*k**5 + 7 + 33/2*k**2 - b*k**3 - 9/4*k**4 - 18*k. Factor m(n).
3*(n - 3)*(n - 1)**2*(n + 2)
Determine u so that 327*u - 3/4*u**2 - 35643 = 0.
218
Suppose 0 = 3*q + 5*a + 10, 5*q - 24 = -3*a - 14. Factor 126*i + 14*i**3 + 6*i**4 - 117*i + 10*i**2 - 5*i**2 + 11*i**2 + i**q + 2.
(i + 1)**4*(i + 2)
Suppose 18*a = 48 - 12. Factor 10*x**a - 118 + 8*x**2 + 14*x**3 + 2*x**4 + 57 - 54*x - 47.
2*(x - 2)*(x + 3)**3
Let g(h) be the first derivative of 22/21*h**3 + 34/35*h**5 + 0*h + 3/2*h**4 + 2/7*h**2 + 5/21*h**6 - 91. Determine w, given that g(w) = 0.
-1, -2/5, 0
Let s(t) = -t**2 - 12*t - 32. Let y(m) = -1. Let g = 16 + -14. Suppose f = -2, g*l - l + f = -14. Let a(k) = l*y(k) - 3*s(k). Find q, given that a(q) = 0.
-6
Determine m so that -284*m**2 - 91625216/3 + 161312*m + 1/6*m**3 = 0.
568
Solve -1/3*k**3 + 544/3 - 16*k**2 - 165*k = 0.
-32, -17, 1
Let l(t) = 148*t + 29*t**2 - 73*t**2 - 19 - 613 + 36*t**3 + 124*t**2. Let h(a) = -2*a**3 - a**2 + 2*a - 1. Let b(y) = 16*h(y) + l(y). Factor b(v).
4*(v - 2)*(v + 9)**2
Let t(j) be the first derivative of j**5