+ y(r). Find i, given that m(i) = 0.
-3, 38
Factor 24*h**3 - 6*h**3 + 208*h + 348 - 17*h**3 + 13*h + 8*h - 118*h**2.
(h - 116)*(h - 3)*(h + 1)
Solve -11780*y + 1/3*y**4 + 11532 - 190/3*y**3 + 9397/3*y**2 = 0 for y.
2, 93
Let d be 47 + (12 - 50) + (-8 - -1). Solve -6/7*v**d + 2/7*v**3 - 2/7*v + 6/7 = 0 for v.
-1, 1, 3
Factor -32/9*k**3 + 32/9*k + 10/9*k**4 + 8/9*k**2 + 0.
2*k*(k - 2)**2*(5*k + 4)/9
Let v be (-3)/(-2) + 30/12. Suppose 0 = v*a + 5*p + 12, 5*a + 3 - 1 = -3*p. Solve 8*c**4 + 432*c**a + 704*c + 256 + 100*c**3 + 11*c**3 - 11*c**3 = 0 for c.
-4, -1/2
Suppose 5*j + 5*y = 15, 12 = -36*j + 34*j + 4*y. Let v = 77 + -151/2. Solve 2*i - 1/2*i**3 + v*i**2 + j = 0.
-1, 0, 4
Let s = -6968/61 + 14119/122. Solve s*h**2 - 2*h + 1/2*h**3 + 0 = 0.
-4, 0, 1
Suppose -317 = -38*w - 89. Let z(y) be the first derivative of 1/8*y**4 - 1/2*y**3 + 23 + 0*y - 1/2*y**2 + 3/10*y**5 + 1/12*y**w. Factor z(l).
l*(l - 1)*(l + 1)**2*(l + 2)/2
Let w(q) be the second derivative of q**5/80 - 35*q**4/48 + 38*q**3/3 - 6*q + 85. Let w(n) = 0. What is n?
0, 16, 19
Let f be 4/(-6)*-6 + -68 + 67. Let z(i) be the second derivative of 36*i - 1/55*i**5 + 0*i**4 + 1/165*i**6 + 0 - 1/11*i**2 + 2/33*i**f. Factor z(w).
2*(w - 1)**3*(w + 1)/11
Let l(f) be the second derivative of -67*f**4/12 - 112*f**3 - 10*f**2 + 4*f - 1003. Suppose l(u) = 0. What is u?
-10, -2/67
Let q(s) be the second derivative of 20*s + 2 + 24*s**2 + 33/20*s**5 - 1/5*s**6 - 14*s**3 - 1/14*s**7 + s**4. Find d, given that q(d) = 0.
-4, -2, 1, 2
Let r(o) be the first derivative of -4*o**4 + 460*o**3/3 - 566*o**2 - 312*o - 6689. Factor r(j).
-4*(j - 26)*(j - 3)*(4*j + 1)
Factor -31182*o**3 - 31181*o**3 + 62358*o**3 - 400 + 100*o**2 - 295*o.
-5*(o - 16)*(o - 5)*(o + 1)
Let b(g) be the second derivative of g**4/12 + 619*g**3/3 + 383161*g**2/2 - 1030*g. Factor b(x).
(x + 619)**2
Let g = -277 + 281. Find f, given that 3*f**2 + 32 - g*f**2 + 31*f - f**2 - f = 0.
-1, 16
Let g(l) be the first derivative of 3/14*l**4 - 78 + 0*l + 0*l**3 - 4/7*l**2 - 2/35*l**5. Suppose g(p) = 0. Calculate p.
-1, 0, 2
Let f = -272 + 275. Let l(n) = -n**4 + n + 1. Let k(u) = -u**5 - 3*u**4 + 17*u**3 - 36*u**2 + 23*u + 3. Let p(b) = f*l(b) - k(b). Factor p(c).
c*(c - 2)**2*(c - 1)*(c + 5)
Suppose -7*x = -t - 6*x + 9, 5*x + 37 = 3*t. Factor -26*i**2 + 12*i - 3*i**t + 12*i**3 + i**4 + 4*i**3 + 0*i**3.
-2*i*(i - 6)*(i - 1)**2
Let r(f) be the second derivative of 1/10*f**6 + 0 + f**4 + 257*f - 3/4*f**5 + 0*f**3 + 0*f**2. Factor r(o).
3*o**2*(o - 4)*(o - 1)
Let u(g) = -32*g + 462. Let c be u(16). Let b be (-750)/18*20/c. Factor -20 - 25/6*k**3 + b*k + 5/3*k**2 + 5/6*k**4.
5*(k - 3)*(k - 2)**2*(k + 2)/6
Find y, given that 0 - 91/6*y**2 + 17/2*y**4 - 5*y + 21/2*y**3 + 7/6*y**5 = 0.
-5, -3, -2/7, 0, 1
Let z be 72/126 - (-3)/7. Let u be (-14)/(-7) + z*121. Let 68*o**2 + 147*o**2 + 104*o + 12 + u*o**2 - 4 = 0. Calculate o.
-2/13
Let j(l) = -771*l + 24. Let g be j(-1). Let r = g + -6359/8. Factor -1/2 - r*h**3 + 3/8*h**2 + 0*h.
-(h - 2)**2*(h + 1)/8
Let p = 266 - 264. Let v(o) = -8*o**2 + 23*o + 7. Let a be v(3). Solve -2/5*n**3 + 0*n + 0 + 2/5*n**5 + 2/5*n**a - 2/5*n**p = 0 for n.
-1, 0, 1
Let c be (6/(-4))/(4 + -3)*(-116 + 118). Let t(s) = 3*s - 5*s + 3*s + 1. Let z(j) = j**3 - 10*j - 9. Let w(x) = c*z(x) - 21*t(x). Factor w(q).
-3*(q - 2)*(q + 1)**2
Let b = 50 - 113. Let r = 67 + b. Factor -4/3*d**r + 0*d + 0 + 2/3*d**5 + 0*d**2 + 2/3*d**3.
2*d**3*(d - 1)**2/3
Let o(p) be the second derivative of -p**6/840 - 13*p**5/420 - p**4/14 - 73*p**2/2 - 37*p. Let x(t) be the first derivative of o(t). Factor x(v).
-v*(v + 1)*(v + 12)/7
Factor 162312*s**3 + 16816*s**4 + 3262*s + 2662*s**5 + 98 + 13269*s**4 - 21644*s**3 + 12810*s**2 + 23690*s**2 + 7909*s**4.
2*(s + 7)**2*(11*s + 1)**3
Suppose -36*r = -25*r. Let a be 1*-3*(r - 1)*1. Factor 1/6*z**a + 1/2*z**4 - 1/6*z - 1/2*z**2 + 0.
z*(z - 1)*(z + 1)*(3*z + 1)/6
What is t in -5547 + 23745/4*t**3 - 525/4*t**4 + 16770*t + 3/4*t**5 - 68115/4*t**2 = 0?
1, 86
Suppose -3*o = -4*q - 678, 65*q = 3*o + 60*q - 681. Let l = o - 220. Factor 2/13 - 6/13*g + 6/13*g**l - 2/13*g**3.
-2*(g - 1)**3/13
Factor -640/13 - 2/13*l**2 - 84/13*l.
-2*(l + 10)*(l + 32)/13
Let f = -208213/3 - -69407. Determine o so that 0*o - f*o**3 + 2/3*o**4 + 2*o**2 + 0 = 0.
0, 1, 3
Let 24*b - 27/4*b**3 + 0 - 3/2*b**4 + 1/4*b**5 + 19*b**2 = 0. Calculate b.
-4, -1, 0, 3, 8
Let j(y) be the second derivative of -5*y**4/54 - 16*y**3/27 - y**2/3 - 8541*y. Factor j(v).
-2*(v + 3)*(5*v + 1)/9
Let q(u) be the third derivative of u**7/1155 + 151*u**6/330 + 709*u**5/10 + 22499*u**4/33 + 88804*u**3/33 + 983*u**2. What is z in q(z) = 0?
-149, -2
Let w(q) = -q**3 + 11*q**2 - 46*q + 98. Let h be w(6). Let t = 2 - -2. Solve 4*k**2 - k**2 - 3*k**h + t*k - 2*k**2 = 0.
0, 2
Let y(m) = 3*m**4 + 2*m**3 - 1. Let b(q) = 11*q**4 + 7*q**3 + 7*q**2 + 13*q + 2. Let a(j) = b(j) - 4*y(j). Factor a(c).
-(c - 3)*(c + 1)**2*(c + 2)
Let g be ((-114)/(-9))/((2/3)/(45/(6075/240))). Determine n, given that 0 - 214/3*n**3 - 32/9*n**5 + g*n**4 - 380/9*n**2 - 50/9*n = 0.
-1/4, 0, 5
Let p(t) be the second derivative of -4*t - 1/90*t**6 - 1/6*t**4 + 4/3*t**2 + 1/12*t**5 - 2/9*t**3 + 11. Factor p(m).
-(m - 2)**3*(m + 1)/3
Let h(y) be the second derivative of y**5/10 + 97*y**4/3 + 128*y**3 - 2*y - 2969. Determine i so that h(i) = 0.
-192, -2, 0
Let q = 11 - 8. Let d(x) = -4*x**5 + 4*x**3 - 3*x**2. Let a(g) = -36*g**3 + 4*g**4 + 36*g**5 + 28*g**2 - 4*g**4. Let b(c) = q*a(c) + 28*d(c). Factor b(y).
-4*y**3*(y - 1)*(y + 1)
Suppose 5/2*q**2 + 7/6*q**3 - 7/6*q**4 + 0 + 0*q + 1/6*q**5 = 0. What is q?
-1, 0, 3, 5
Let p be ((-7240)/(-30))/(4/(-6)). Let m = -359 - p. Factor -6/5*q**4 - 9/5*q - 2/5 - 1/5*q**5 - 16/5*q**2 - 14/5*q**m.
-(q + 1)**4*(q + 2)/5
Let d(z) be the second derivative of 4*z**6/15 + 139*z**5/20 + 17*z**4/4 - 2624*z. Factor d(t).
t**2*(t + 17)*(8*t + 3)
Let q = 143307 - 429896/3. Determine n, given that -5/3*n**3 + q*n + 20/3*n**2 + 0 = 0.
-1, 0, 5
Factor 68 - 4*q**2 + 50*q - 23 - 38 - 31.
-2*(q - 12)*(2*q - 1)
Let q be (-900)/(-486)*(-4)/(-6)*3. Let s(b) be the third derivative of 0*b - 1/270*b**5 + 0 - q*b**3 - 5/27*b**4 - 19*b**2. Find t such that s(t) = 0.
-10
Let q(m) = 71*m**3 - 207*m**2 + 135*m - 26. Let g(v) = 69*v**3 - 209*v**2 + 132*v - 28. Let x(k) = -3*g(k) + 4*q(k). Factor x(h).
(h - 1)*(7*h - 10)*(11*h - 2)
Let l(y) = -y**4 + 30*y**3 - 116*y**2 + 81*y + 3. Let v(a) = 4*a**4 - 88*a**3 + 346*a**2 - 242*a - 10. Let q(x) = -10*l(x) - 3*v(x). Factor q(c).
-2*c*(c - 2)*(c - 1)*(c + 21)
Find q, given that 0 + 1/2*q**4 - 27*q**3 - 55/2*q**2 + 0*q = 0.
-1, 0, 55
Let s(i) be the third derivative of 6 + 0*i - 10*i**2 + 4/105*i**7 + 0*i**3 + 1/168*i**8 + 0*i**4 + 0*i**5 + 1/15*i**6. Determine k so that s(k) = 0.
-2, 0
What is d in 2352*d + 1971*d**2 + 522 - 75/8*d**4 - 1620*d**3 = 0?
-174, -2/5, 2
Determine v, given that 3/2*v**3 + 19683 + 246*v**2 + 20655/2*v = 0.
-81, -2
Let v(w) = -3*w**3 + 15*w**2 - 10*w - 31. Let h(c) = c**3 - c. Let a(l) = -2*h(l) - v(l). Let j be a(14). Factor -124*f**j + 4*f + 122*f**3 + 0*f - 2*f**2.
-2*f*(f - 1)*(f + 2)
Let w(v) = -4*v**3 - 68*v**2 + 689*v - 195. Let n(a) = a**3 - a - 1. Let t(x) = -15*n(x) + 5*w(x). Solve t(z) = 0 for z.
-16, 2/7, 6
Let r(y) be the first derivative of y**7/420 - 11*y**6/180 + 7*y**5/12 - 25*y**4/12 + 37*y**3 + 46. Let u(t) be the third derivative of r(t). Factor u(c).
2*(c - 5)**2*(c - 1)
Determine i, given that 7424569*i**3 + 3620 + 840*i**2 - 7424564*i**3 + 45*i**2 - 3600*i = 0.
-181, 2
Factor -444*n - 307*n**2 + 719*n**2 + 6*n**4 + 21*n**3 + 324 - 207*n**2 - 55*n**3 - 5*n**4.
(n - 27)*(n - 3)*(n - 2)**2
Let h be 933*6/405 - 242/1089. Factor -h*q + 1156/5 + 1/5*q**2.
(q - 34)**2/5
Let x = -14437 + 14437. Let a(y) be the third derivative of 6*y**3 + x - 32*y**2 - 5/3*y**4 + 0*y + 1/15*y**5. Solve a(k) = 0 for k.
1, 9
Let u(i) be the third derivative of -i**6/720 - i**5/120 - i**4/48 + 71*i**3/6 + 101*i**2. Let s(m) be the first derivative of u(m). Find c such that s(c) = 0.
-1
Let i(z) be the third derivative of -z**6/180 - 149*z**5/18 + 1493*z**4/36 - 83*z**3 - 3211*z**2. Factor i(m).
-2*(m - 1)**2*(m + 747)/3
Let p(v) be the second derivative of v**4/12 + v**3/6 - v**2 + 613*v. Factor p(o).
(o - 1)*(o + 2)
Determine