ve of -18 + 25/2*g**2 + 10*g + 5/4*g**4 + 20/3*g**3. Factor x(s).
5*(s + 1)**2*(s + 2)
Let t(m) be the second derivative of m**4/45 + 19*m**3/9 - 16*m**2/5 - 2*m + 1461. Find v such that t(v) = 0.
-48, 1/2
Let s(n) be the second derivative of n**5/240 - 229*n**4/48 + 343*n**3/36 - 2*n - 3262. Factor s(r).
r*(r - 686)*(r - 1)/12
Let o(l) be the first derivative of l**4/14 - 2*l**3/21 - 122*l**2/7 - 240*l/7 + 4085. Solve o(s) = 0.
-10, -1, 12
Let w(s) = -24*s + 162. Let h be w(6). Solve h*b**3 + 20*b + 18*b**3 + 17*b**2 + 17*b**4 + 4*b**2 - 18*b = 0 for b.
-1, -2/17, 0
Let h(z) be the third derivative of z**5/30 - 178*z**4/3 + 1420*z**3/3 + 3368*z**2 - 1. Let h(d) = 0. What is d?
2, 710
Suppose 20*y = -35*y - 165. Let c be 84/392*y/(9/(-4)). Let 0 - 3/7*b**2 + 2/7*b - c*b**3 = 0. Calculate b.
-2, 0, 1/2
Factor 2/11 - 604/11*s - 606/11*s**2.
-2*(s + 1)*(303*s - 1)/11
Let d(j) be the first derivative of -j**4/5 - 44*j**3/15 - 68*j**2/5 - 96*j/5 + 163. Let d(r) = 0. What is r?
-6, -4, -1
Let s(q) be the second derivative of -3*q**5/5 - 50*q**4/3 - 182*q**3/3 - 88*q**2 + 251*q. What is y in s(y) = 0?
-44/3, -1
Let o be (-66)/12*47/(-517). Let t be (-12)/(-8) + 0 + -1. Find a, given that 0*a + t*a**3 + o*a**2 + 0 = 0.
-1, 0
Let q(v) = v**2 - 5*v + 9. Suppose w - 3*w + 10 = 0. Let p be q(w). Factor 39*l - 5 + 15 + p*l**2 + 2.
3*(l + 4)*(3*l + 1)
Let z = -8383/2 - -4192. Let h(r) be the first derivative of -z*r**4 + 0*r + 0*r**3 + 34 + 0*r**2. Factor h(m).
-2*m**3
Let x(k) = -2052*k - 22570. Let r be x(-11). Let 9/5*v + 0*v**r - 3/5*v**3 + 6/5 = 0. What is v?
-1, 2
Factor 957912 + 4*d**2 + 732088 - d**2 + 5200*d + d**2.
4*(d + 650)**2
Let t(b) be the third derivative of -1/40*b**5 - 2 + 0*b - 3/8*b**4 + 33*b**2 + 4*b**3. Factor t(c).
-3*(c - 2)*(c + 8)/2
Suppose -5*y = 24 - 34. Let c be y - ((-20)/(-5) - 19). Solve -c - 477*q**2 + 729*q**3 + 432*q - 47 - 495*q**2 = 0.
4/9
Let c(r) be the first derivative of 0*r**3 + 1 + 49/12*r**4 + 0*r + 7/15*r**5 - 17*r**2 + 1/60*r**6. Let w(y) be the second derivative of c(y). Factor w(m).
2*m*(m + 7)**2
Let g(c) be the third derivative of 1/45*c**5 + 0*c + 0*c**3 + 0*c**4 + 7/540*c**6 + 0*c**7 + 180*c**2 - 1/1512*c**8 + 0. Suppose g(j) = 0. Calculate j.
-2, -1, 0, 3
Let v(y) = 5*y**3 - y**2 + 2. Let k(h) = -75*h**3 - 2459*h**2 + 5680*h - 1152. Let x(p) = k(p) + 6*v(p). Factor x(l).
-5*(l - 2)*(l + 57)*(9*l - 2)
Let j be (14*62)/((-23)/46). Let t be (-12)/22 - j/924. Solve 2/3*r**2 + t + 2*r = 0.
-2, -1
Suppose 3/4*s**2 - 1/4*s**4 + 2*s + 1 - 1/2*s**3 = 0. Calculate s.
-2, -1, 2
Let r = -159343/50 - -15927/5. Let s = 1/25 - r. Suppose s*i**4 + 0*i + 0*i**3 - 3/2*i**2 + 0 = 0. Calculate i.
-1, 0, 1
Suppose p - 15 = 2*t, t = p - 2*p + 9. Let q be 7 + -1 - ((-220)/(-8))/p. Factor -q - 1/2*h**2 - 4*h.
-(h + 1)*(h + 7)/2
Suppose 2*q - 263*u = -268*u + 48, 2*q = 16*u - 120. Let 1 - a**3 - a**4 + q*a**2 - 7/2*a + 1/2*a**5 = 0. What is a?
-2, 1
Factor -25*f**2 + 100*f**2 - 25*f**2 + 183*f - 23*f**2 - 24*f**2.
3*f*(f + 61)
Suppose 0 = 2*f - 3*o + 3, -4*o = -5*f + 52 - 49. Let r(c) be the third derivative of 0*c - 19*c**2 + 1/18*c**4 + 1/3*c**f + 0 - 1/90*c**5. Factor r(m).
-2*(m - 3)*(m + 1)/3
Let o(s) = -15*s**2 - 3485*s + 7045. Let t(f) = 7*f**2 + 1744*f - 3522. Let h(z) = -2*o(z) - 5*t(z). Factor h(g).
-5*(g - 2)*(g + 352)
Let j = 10107 + -10103. Let d(f) be the first derivative of 0*f**2 + 35 - 2/3*f**6 + 0*f + 0*f**3 - 8/5*f**5 + 3*f**j. Factor d(h).
-4*h**3*(h - 1)*(h + 3)
Let k(j) be the second derivative of -3*j**5/20 + 6*j**4 - 42*j**3 + 120*j**2 + 45*j - 38. Let k(n) = 0. What is n?
2, 20
Solve 1383*y**2 - 358*y**3 - 357*y**3 - 693*y - 3*y**4 - 161*y**3 + 99*y**3 + 90*y**3 = 0.
-231, 0, 1
Suppose -8 = -3*m + m. Let x(t) = -t**2 - t + 1. Let p(z) = 117*z**2 + 62*z + 13. Let u(a) = m*x(a) - p(a). Determine v, given that u(v) = 0.
-3/11
Let z(t) be the second derivative of -t**7/273 + 16*t**6/195 + 2*t**5/13 - 23*t**4/39 - 83*t**3/39 - 34*t**2/13 + 3478*t. Solve z(f) = 0 for f.
-1, 2, 17
Suppose -3*g = -13 - 5. Suppose -14 - 52 = -g*v. Factor -9*p**3 + 4*p**3 + v*p**2 - p**2 + 11*p - 16*p.
-5*p*(p - 1)**2
Let 258 - 12*z**2 - 3*z**2 - 105*z + 15 + 39*z = 0. Calculate z.
-7, 13/5
Factor -52/9 - 82/9*d - 2/3*d**2.
-2*(d + 13)*(3*d + 2)/9
Let y(m) = -2*m**2 - 444*m - 59048. Let q(i) = i**2 - 42*i - 1. Let k(d) = -q(d) - y(d). Determine a, given that k(a) = 0.
-243
Determine r, given that -1472/7 - 12/7*r**5 - 5028/7*r**2 - 1244/7*r**3 - 4904/7*r + 340/7*r**4 = 0.
-1, -2/3, 8, 23
Suppose -265 = 5*w + 275. Let m = 111 + w. Find i such that -22*i - 6 - m*i**2 - 21*i + 52*i = 0.
1, 2
Suppose 5*u + y - 26 = 0, 4*u + 3*y = 7*u - 12. Let s be ((-51)/(-170))/(3/u). Factor k + 0 - 1/2*k**3 + s*k**2.
-k*(k - 2)*(k + 1)/2
Let f = -658 - -850. Let s be (f/63 - 3)*(-1863)/(-23). Determine r so that 0*r + s*r**5 + 6/7*r**2 + 60/7*r**4 + 0 + 39/7*r**3 = 0.
-1, -2/9, 0
Suppose o + 3 = 0, 4*s - 225 = 5*o - 194. Let t(z) be the first derivative of -4/3*z**3 + 4/15*z**5 - 20 - 4/3*z**2 + 0*z + 0*z**s. Factor t(d).
4*d*(d - 2)*(d + 1)**2/3
Let w(j) = 41*j**2 + 98*j - 1087. Let y(h) = 209*h**2 + 492*h - 5438. Let c(d) = -21*w(d) + 4*y(d). Factor c(p).
-5*(p - 5)*(5*p + 43)
Suppose 16*t + 100 = 18*t. Let o = -199/4 + t. Factor 1/8*i**2 + o - 3/8*i.
(i - 2)*(i - 1)/8
Suppose -5*n - 4*d - 88 = 0, -3*n + 15 - 65 = d. Let o be (n/6)/(21/(-63)). Factor 5*x - o*x - 1 - 4*x**2 - 3 - 5*x.
-4*(x + 1)**2
Let k(z) be the third derivative of 0*z + 17/40*z**6 + 0 - 31/20*z**5 + 26*z**2 + 15/8*z**4 + 0*z**3 - 1/70*z**7. Factor k(o).
-3*o*(o - 15)*(o - 1)**2
Suppose -3*o + 3*y = -9, 2*y = 2*o - 4*o + 22. Suppose -5*w + 2 = o, -57 = -4*h + 5*w. Factor h - 11 + 125*q**2 - 12 + 25*q.
5*(5*q - 1)*(5*q + 2)
Let i(j) be the third derivative of -j**5/15 + 15*j**4 - 352*j**3/3 + 690*j**2. Suppose i(w) = 0. What is w?
2, 88
Suppose -5*b + 79 = 2*s, -3*b = 2*s - 7*s - 66. Factor b - 10*h**2 - 35 + 85*h - 22.
-5*(h - 8)*(2*h - 1)
Let t(x) be the second derivative of -x**4 + 1710*x**3 - 2193075*x**2/2 - 9388*x. Determine f so that t(f) = 0.
855/2
Let z(i) = 48*i**3 - 2*i**2 - i + 3. Let y be z(1). Determine w so that y*w - 4 + 51*w**4 - 8*w**5 - 15*w**3 - 41*w**2 - 8 + 2*w**2 - 18*w**3 - 7*w**5 = 0.
-1, 2/5, 1, 2
Let h = 1413 - 1409. Suppose -5*q = 5*u + 10, -2*u - 3*q + 7 - 15 = 0. Factor -h*f**3 - f**4 + f**5 + 17*f**2 - f**4 - 15*f**u + 3*f.
f*(f - 3)*(f - 1)*(f + 1)**2
Let q(u) = u**2 - 20*u + 55. Let n be q(17). Suppose 2*s - 8 = -0. Factor 6*f**s + 2*f + 130*f**3 + 9*f**n + 68*f + 185*f**2.
5*f*(f + 1)*(f + 7)*(3*f + 2)
Let s(g) be the first derivative of -5*g**7/84 - 17*g**6/12 + 18*g**5/5 - 11*g**4/3 - 58*g**3/3 + 119. Let i(p) be the third derivative of s(p). Factor i(j).
-2*(j + 11)*(5*j - 2)**2
Determine m so that 0*m - 115/6*m**3 + 0 - 5/6*m**5 - 25/2*m**2 - 15/2*m**4 = 0.
-5, -3, -1, 0
Factor -15*z - 200 - 46*z - 5*z**2 - 4*z.
-5*(z + 5)*(z + 8)
Suppose -210 = 17*o + 19 - 416. Factor o*f + 1 - 23/4*f**2.
-(f - 2)*(23*f + 2)/4
Let m(b) be the second derivative of 6*b - 1/4*b**4 + 0*b**2 - 3/8*b**3 - 3/80*b**5 + 6. Suppose m(l) = 0. What is l?
-3, -1, 0
Let f(y) be the third derivative of -y**5/210 + 57*y**4/28 + 174*y**3/7 + 358*y**2 + 11. Let f(p) = 0. What is p?
-3, 174
Let r(a) be the third derivative of -a**6/360 + 47*a**5/180 + 313*a**4/72 + 265*a**3/18 - 71*a**2 - 6*a + 1. Factor r(i).
-(i - 53)*(i + 1)*(i + 5)/3
Suppose -1119 = 149*q + 403*q - 3879. Find h, given that 0 + 4/11*h**3 - 2/11*h + 0*h**2 - 2/11*h**q + 0*h**4 = 0.
-1, 0, 1
Let y(z) be the first derivative of -2*z**3/15 + 72*z**2/5 + 522*z - 2776. Factor y(j).
-2*(j - 87)*(j + 15)/5
Suppose 35 - 31 = 2*z. Solve 0*r**2 + 3*r**z + 171*r**3 + r**5 + 3*r**2 - 6*r**4 - 163*r**3 - 9*r = 0 for r.
-1, 0, 1, 3
Let m(f) be the first derivative of -2*f**3/27 - 257*f**2/9 - 340*f/3 - 1579. Factor m(y).
-2*(y + 2)*(y + 255)/9
Factor 1467/7*h**3 + 25920/7*h - 24300/7 - 9747/7*h**2 - 69/7*h**4 + 1/7*h**5.
(h - 30)**2*(h - 3)**3/7
Let s(l) = l**4 + 12*l**3 + 18*l**2 + 10*l + 3. Let p(n) = n**4 + 12*n**3 + 17*n**2 + 10*n + 4. Let y(o) = 3*p(o) - 4*s(o). Determine u, given that y(u) = 0.
-10, -1, 0
Let -1/4*i**4 - 23/2*i**3 + 62*i**2 + 153/4 - 177/2*i = 0. What is i?
-51, 1, 3
Let v(o) be the first deriv