5 - 19*r**3 + 30*r**4 - 4*r**5.
-5*r*(r - 3)*(r - 1)**3
Let j(q) be the first derivative of q**3/9 + 5*q**2/2 - 34*q/3 + 153. Factor j(o).
(o - 2)*(o + 17)/3
Let v(x) be the second derivative of -7921/72*x**4 + 89/18*x**3 - 1/12*x**2 + 4 + 4*x. Solve v(n) = 0.
1/89
Factor -1/3*g**3 - 56/3*g - 220/3 + 25/3*g**2.
-(g - 22)*(g - 5)*(g + 2)/3
Let p(y) be the second derivative of -y**4/24 - 17*y**3/6 + 35*y**2/4 - 100*y + 1. Find l, given that p(l) = 0.
-35, 1
Let d = -446 + 448. What is f in -3*f**3 - 36*f + 132*f + 6219*f**d - 6126*f**2 = 0?
-1, 0, 32
Let s = -9522 - -9522. Let h(i) be the second derivative of 0*i**3 + 1/35*i**6 - 2*i + 1/10*i**5 + 1/21*i**4 + s*i**2 + 0. Determine t so that h(t) = 0.
-2, -1/3, 0
Let d(u) be the second derivative of -u**8/36960 - u**7/2310 + 21*u**4/2 + 69*u. Let k(v) be the third derivative of d(v). Factor k(z).
-2*z**2*(z + 6)/11
Let u = -499 + 504. Suppose 4*p = -2*o + 20 + 4, p = -3*o + 11. Factor -y**3 - 5*y + 3*y**2 - u*y**2 + p*y.
-y**2*(y + 2)
Let c(s) be the first derivative of s**4/28 - 163*s**3/21 - 47*s**2/2 - 165*s/7 + 8337. Factor c(w).
(w - 165)*(w + 1)**2/7
Let a be -12 + 3 + 12 - -3 - (-8 + (-585)/(-54)). Factor -7/6*o - 5/2*o**2 + 0 + 1/2*o**4 + a*o**3.
o*(o - 1)*(o + 7)*(3*o + 1)/6
Determine q so that -3/8*q**3 - 9/8*q + 15/8*q**2 - 27/8 = 0.
-1, 3
Let x(d) = 4*d**4 - 800*d**3 - 807*d**2 + 3*d + 3. Let q(f) = -4*f**4 + 800*f**3 + 808*f**2 - 4*f - 4. Let k(n) = -3*q(n) - 4*x(n). Find r such that k(r) = 0.
-1, 0, 201
Let m(g) = 25*g**2 + 38645*g + 74652485. Let i(x) = 29*x**2 + 38646*x + 74652486. Let u(l) = -5*i(l) + 6*m(l). Solve u(a) = 0.
-3864
Suppose 10*r - 30*r - 161 = 13*r - 227. Factor 6/5*l + 2/5*l**r - 4.
2*(l - 2)*(l + 5)/5
Let r(g) = 5*g**5 + 59*g**4 - 136*g**3 + 69*g**2 - 1. Let o(p) = p**4 + p**3 + p**2 + 1. Let t be 0 + (3 - -3) + -7. Let a(b) = t*o(b) - r(b). Factor a(q).
-5*q**2*(q - 1)**2*(q + 14)
Let d be -1 + 15 + (0 + -6 - -10). Let a be -12*((-96)/(-504))/(d/(-21)). Suppose 16/3*l - 2/3*l**2 - 4/3*l**3 + a = 0. Calculate l.
-2, -1/2, 2
Solve -1/5*k**2 - 138/5*k + 0 = 0 for k.
-138, 0
Suppose 0 = 5*z - 8 - 2. Suppose p = -z*b - 3, 4*b + 18 = 3*p - p. Factor -40*c + 13 + 21*c**p + 47 - 5*c**2 - 7*c**3 - 9*c**3.
5*(c - 2)**2*(c + 3)
Let g(r) = -4*r**3 + 227*r**2 + 291*r - 58. Let t be g(58). Determine o so that t - 14/9*o**3 + 32/9*o**2 - 8/3*o + 2/9*o**4 = 0.
0, 2, 3
Factor 375*g**2 + 196 + 855*g + 189 - 5*g**3 - 90*g.
-5*(g - 77)*(g + 1)**2
Let s(q) be the third derivative of -q**7/840 + 29*q**6/240 - 53*q**5/240 - 29*q**4/12 + 19*q**3/2 - 100*q**2. Suppose s(h) = 0. What is h?
-2, 1, 2, 57
Let j(n) be the second derivative of n**5/90 - 1741*n**4/27 + 3031081*n**3/27 - 1203*n. Factor j(w).
2*w*(w - 1741)**2/9
Suppose -60 = 5*v - 15*v. Factor 4*l**4 + 9*l**2 - 12 - l**4 + 12*l**3 - 6*l - v*l.
3*(l - 1)*(l + 1)*(l + 2)**2
Let t(p) be the third derivative of -116*p**2 + 0*p**3 + 0*p**4 + 0 + 0*p + 0*p**5 + 1/1512*p**8 + 0*p**6 - 4/945*p**7. Factor t(v).
2*v**4*(v - 4)/9
Let s(y) = 23*y - 64. Let f be s(3). Solve -254*j**3 + 5*j**f - 241*j**3 - 85*j**2 - 35*j**4 + 580*j**3 + 30*j = 0 for j.
0, 1, 2, 3
Find j, given that -720/7*j + 48/7*j**3 + 264/7*j**2 + 432/7 - 3/7*j**5 - 3*j**4 = 0.
-6, 1, 2
Let u(q) be the second derivative of 1/3*q**3 + 2*q**2 - 1/6*q**4 + 11 + 4*q. Factor u(d).
-2*(d - 2)*(d + 1)
Determine y so that -2*y**2 - 9 - 15*y + 8 - 1 - 5 + 15 = 0.
-8, 1/2
Let k = -152/145 - -753/580. Let v(r) be the first derivative of 1/12*r**3 + 18 - 1/4*r**2 + k*r. Let v(b) = 0. Calculate b.
1
Let 0*n**4 - 121*n + 6*n**4 - 5*n**2 - 20 + 0*n**2 + 16*n + 19*n**4 + 105*n**3 = 0. What is n?
-4, -1, -1/5, 1
Let b(n) = -80*n**3 + 1136*n**2 - 249*n - 25. Let z(u) = 10*u**3 - 142*u**2 + 31*u + 3. Let s(h) = -6*b(h) - 50*z(h). Factor s(l).
-4*l*(l - 14)*(5*l - 1)
Suppose 3724 = 4*p - 2*j, 103*p - 104*p + 924 = -4*j. Let q = -930 + p. Factor 4/3 + 2/3*v**q + 2*v.
2*(v + 1)*(v + 2)/3
Let t(o) = o**3 + 157*o**2 + 5626*o - 11863. Let u(m) = -2*m**3 - 313*m**2 - 11251*m + 23725. Let y(i) = 18*t(i) + 10*u(i). Suppose y(z) = 0. What is z?
-77, 2
Let v be (-39992)/460 - 4 - 5/(-25). Let r = v - -91. Factor 8/23*s - 2/23*s**2 - r.
-2*(s - 3)*(s - 1)/23
Let j(q) be the second derivative of -1/12*q**4 + 14*q + 0 + 0*q**3 + 2*q**2. Let c(u) = u**2 - 3. Let v(k) = -3*c(k) - 2*j(k). Factor v(w).
-(w - 1)*(w + 1)
Find p such that 16413*p**4 + 672*p - 4144 - 16415*p**4 - 228*p**3 + 950*p**2 - 104 = 0.
-118, -2, 3
Let l be 5859/3105 - 3/((200/24)/5). Factor l*d**4 + 0 + 0*d**3 - 6/23*d**2 + 4/23*d.
2*d*(d - 1)**2*(d + 2)/23
Let w(u) be the second derivative of u**4/8 - 431*u**3/12 - 36*u**2 + 1354*u. What is f in w(f) = 0?
-1/3, 144
Let v = -58047234/19 - -3055791. Let a = -673 + v. Find z, given that 10/19*z**2 - 2/19*z**4 + a*z**3 + 0 + 0*z = 0.
-1, 0, 5
Let c be 48/(-104) - (-9344)/16133. Factor 0 + 8/17*v + 6/17*v**2 - c*v**3.
-2*v*(v - 4)*(v + 1)/17
Let a(k) = -248*k**3 + 316*k**2 + 520*k - 336. Let i(o) = 50*o**3 - 64*o**2 - 104*o + 67. Let x(f) = 3*a(f) + 16*i(f). Suppose x(t) = 0. What is t?
-8/7, 1/2, 2
Let a(r) = 10*r**4 + 50*r**3 + 180*r**2 + 175*r + 65. Let o(x) = 17*x**4 + 99*x**3 + 357*x**2 + 350*x + 129. Let p(n) = -9*a(n) + 5*o(n). Factor p(l).
-5*(l - 12)*(l + 1)**3
Let g(d) be the first derivative of d**4/12 + 337*d**3/9 + 667*d**2/6 - 335*d + 7107. Factor g(i).
(i - 1)*(i + 3)*(i + 335)/3
Let m(l) be the first derivative of 58*l**2 + 15/4*l**4 + 22*l**3 + 1/5*l**5 + 72*l - 143. Solve m(v) = 0 for v.
-9, -2
Let u(y) be the third derivative of 0*y**3 - 4 + 8/39*y**4 - 1/390*y**5 + 0*y - 16*y**2. Factor u(o).
-2*o*(o - 32)/13
Solve -113*h**2 + 110*h + 720 + 19*h + 110*h**2 = 0 for h.
-5, 48
Let d(w) be the second derivative of w**6/10 - 39*w**5/5 - 405*w**4/4 - 244*w**3 + 1416*w**2 - 273*w + 9. Factor d(f).
3*(f - 59)*(f - 1)*(f + 4)**2
Let g be ((-105)/(-8 - -5))/2. Factor 25 - g*y + 5/2*y**2.
5*(y - 5)*(y - 2)/2
Let n(j) be the second derivative of j**6/270 + 7*j**5/60 - 5*j**4/12 + 23*j**3/54 + 2592*j. Find v, given that n(v) = 0.
-23, 0, 1
Let g be (-632)/1120 - (-12)/20. Let c(b) be the second derivative of 5*b + 0 - b**3 + 9/40*b**5 + 1/2*b**4 + 0*b**2 - g*b**7 - 1/10*b**6. Factor c(k).
-3*k*(k - 1)**2*(k + 2)**2/2
Factor -1/4*u**3 - 102 - 63/4*u**2 + 167/2*u.
-(u - 3)*(u - 2)*(u + 68)/4
Suppose -222*k = 1677 - 2121. Factor 0 - 5/2*q**3 + 43/2*q**k + 9*q.
-q*(q - 9)*(5*q + 2)/2
Let f(l) be the second derivative of l**4/28 - 541*l**3/14 + 231*l**2 - 2*l + 5000. Factor f(d).
3*(d - 539)*(d - 2)/7
Let t(c) be the third derivative of -c**6/180 + 23*c**5/15 - 529*c**4/3 - 67*c**3/3 + 105*c**2. Let i(b) be the first derivative of t(b). Factor i(j).
-2*(j - 46)**2
Let i(q) be the third derivative of q**6/210 + 47*q**5/21 - 17*q**4/3 - 944*q**3/21 - 743*q**2. Solve i(w) = 0.
-236, -1, 2
Suppose 4*v - 59 = 153. Factor 43*p + 16*p**2 + 22*p**2 - v*p**2 - 5*p + 17*p**2.
2*p*(p + 19)
Suppose -61 + 13 = -6*z. Determine y so that 1 - 2 + 9*y + 0*y + 3*y**2 - z - 3*y = 0.
-3, 1
Find o such that -82*o**4 + 92976*o**3 - 82*o**4 + 17457*o + 1633 - 181 + 69804*o**2 + 3 - 28*o**4 = 0.
-1/4, 485
Suppose 0 = 581*j - 4142 + 1237. Factor -t**4 + 0 + 0*t**3 + 1/2*t - 1/2*t**j + t**2.
-t*(t - 1)*(t + 1)**3/2
Factor -20*h**3 - 5152 - 1536*h + 114*h**2 + 6176 + 222*h**2.
-4*(h - 8)**2*(5*h - 4)
Let w(p) be the first derivative of 155/3*p**4 + 297910/3*p**2 + 1/3*p**5 + 43 + 4617605/3*p + 9610/3*p**3. Factor w(v).
5*(v + 31)**4/3
Let n = -27556 + 27556. Let i(j) be the third derivative of n + 11/9*j**4 + 242/9*j**3 + 27*j**2 + 1/45*j**5 + 0*j. Factor i(s).
4*(s + 11)**2/3
Let s = 173 + -167. Let n be (-4)/(-22) + s + 2. Determine p so that 48/11*p**2 - 8/11*p - n*p**3 + 0 + 50/11*p**4 = 0.
0, 2/5, 1
Let k = 25896/5 + -233054/45. Factor -2/3*x - k*x**2 + 8/9.
-2*(x - 1)*(x + 4)/9
Suppose -12*m + 9*m - 33 = 0. Let c = m - -15. Factor -c*d**2 - 2*d**3 - d**3 - 3*d**4 + 5*d**4 + d**3.
2*d**2*(d - 2)*(d + 1)
Let x be ((-4)/(-14))/(-3 + 144/56). Let b = 16/15 + x. Suppose -2/5*u**2 - u - b = 0. Calculate u.
-2, -1/2
Let c be (-54)/(-1026)*(2/(-58))/1. Let m = 1099/1653 - c. Factor m*z + 0 - 14/3*z**3 + 8/3*z**4 + 4/3*z**2.
2*z*(z - 1)**2*(4*z + 1)/3
Suppose 3*j**3 + 34675296/5 + 86659392/5*j - 72114/5*j**2 = 0. 