(v) be the first derivative of v**4 - 54/5*v + 12/5*v**3 + 57 + 1/15*v**6 - 27/5*v**2 - 14/25*v**5. Factor u(r).
2*(r - 3)**3*(r + 1)**2/5
Let m(y) be the second derivative of 1/6*y**4 + 5*y**2 + 72*y + 0 - 2*y**3. Factor m(t).
2*(t - 5)*(t - 1)
Let p = -116197 - -929579/8. Solve p*c**5 + 9/4*c**3 + 3/2*c**4 + 3/2*c**2 + 0 + 3/8*c = 0 for c.
-1, 0
Let w be 8/(-14) + 212/28. Let a(d) = -d**4 + 8*d**3 + 73*d**2 + 64*d + 14. Let y(j) = -4*j**3 - 36*j**2 - 32*j - 8. Let q(x) = w*y(x) + 4*a(x). Factor q(h).
-4*h*(h - 4)*(h + 1)*(h + 2)
Let 262/3*u - 90*u**2 - 2*u**4 + 74/3*u**3 - 20 = 0. What is u?
1/3, 1, 5, 6
Let d(s) be the third derivative of s**7/35 + 223*s**6/18 + 1709*s**5/90 - 1234*s**4/9 + 988*s**3/9 + 10*s**2 + s + 34. Let d(a) = 0. Calculate a.
-247, -2, 2/9, 1
Let m be 24 - ((-158)/(-7) + (-564)/987). Factor -52/7*v + 120/7 + 4/7*v**m.
4*(v - 10)*(v - 3)/7
Factor 9/2*i**4 + 0*i - 39*i**3 - 87/2*i**2 + 0.
3*i**2*(i + 1)*(3*i - 29)/2
Let y(q) = -q**3 + 6*q**2 + 2*q - 9. Let g be y(6). Let p be (-2)/(-12) + 1/(-13) + 238220/335400. Factor -24/5*o + 0 + 4*o**2 - p*o**g.
-4*o*(o - 3)*(o - 2)/5
Suppose 2*u - k - 40 = 0, -k - 53 = -5*u + 53. Suppose -2*v + 16 = 2*p + u, 2*v = 5*p - 6. Factor -1/3*g**2 - 1/3*g**3 + 0 + p*g.
-g**2*(g + 1)/3
Factor -3/5*u**3 + 252/5*u + 42/5*u**2 - 648/5.
-3*(u - 18)*(u - 2)*(u + 6)/5
Let o(m) = 13*m - 35. Let u be o(-14). Let l = 1954/9 + u. Solve l*r**3 - 2/9*r**2 + 1/9*r + 0 = 0 for r.
0, 1
Suppose -2/5*c**3 + 32/5 + 39/5*c**2 - 68/5*c - 1/5*c**4 = 0. What is c?
-8, 1, 4
Let b = 27691/4 - 6916. Let v = -233/2 + 118. Factor v*r**3 - 9/8*r**2 + 0 + 3/8*r**4 - b*r.
3*r*(r - 2)*(r + 3)**2/8
Let v = 244893 + -244891. Find w such that -21/4 - 16*w - 3/4*w**v = 0.
-21, -1/3
Let p(g) be the second derivative of g**6/105 - 18*g**5/35 - 135*g**4/14 + 16*g - 97. Factor p(b).
2*b**2*(b - 45)*(b + 9)/7
Let x be (33/12)/(15/60). Let w be (-45)/(-50)*(13 - x). Determine k, given that -12/5 - 12/5*k - 3/5*k**4 + w*k**2 + 6/5*k**3 = 0.
-1, 2
Let t(i) be the third derivative of -i**7/1260 + 7*i**6/1080 - i**5/45 + 19*i**4/8 - 91*i**2. Let v(w) be the second derivative of t(w). Factor v(z).
-2*(z - 1)*(3*z - 4)/3
Let 2257572870*z - 2261156319 + 5678/3*z**3 + 3581556*z**2 + 1/3*z**4 = 0. Calculate z.
-1893, 1
Let -18400*b**2 + 293*b**5 - 18781*b + 16141*b + 1280 + 22*b**5 + 21000*b**3 - 6280*b**4 = 0. What is b?
-2/7, 2/9, 2, 16
Let r(v) be the third derivative of -11*v**2 + 6/65*v**5 + 0 + 23/52*v**4 + 1/780*v**6 + 34/39*v**3 - 2*v. Factor r(k).
2*(k + 1)**2*(k + 34)/13
Let w(j) be the first derivative of 9*j**4/4 + 436*j**3 - 2211*j**2/2 - 882*j - 5476. Suppose w(d) = 0. What is d?
-147, -1/3, 2
Let b(g) = -2*g**2 + 10*g + 16. Let m be b(6). Solve 6*z**2 - 3*z**4 + 12*z**4 + m*z**3 + 2*z**3 + 3*z**5 - 9*z - 12*z**2 - 3 = 0 for z.
-1, 1
Let k = 523442 - 523440. Let 36*p**k + 1134*p + 0 + 2/7*p**3 = 0. Calculate p.
-63, 0
Suppose 4*r - 2*b - 27 = -29, 0 = -5*r + 2*b. Determine f so that -3*f**4 + 10545*f**2 + 5*f**3 - 10548*f**r + f**3 = 0.
0, 1
Let o be ((-9)/(-15))/((2640/352)/((-25)/(-1))). Suppose -12/5 + 4/5*v**2 + 2/5*v**3 - o*v = 0. What is v?
-3, -1, 2
Let j(k) be the third derivative of -k**5/140 + 5*k**4/28 - 12*k**3/7 + 1584*k**2. Let j(z) = 0. Calculate z.
4, 6
Let q(k) = -794*k + 29642 + 303*k - k**2 + k**2 + 2*k**2 - 282*k. Let r(n) = n**2 - 774*n + 29641. Let f(t) = 4*q(t) - 3*r(t). Factor f(o).
5*(o - 77)**2
Let l(z) be the second derivative of -z**6/70 + 39*z**5/140 + 18*z**4 - 3726*z**3/7 + 1963*z. Factor l(b).
-3*b*(b - 18)**2*(b + 23)/7
Let i(y) be the third derivative of 3/80*y**6 + 0*y + 0 + 1/672*y**8 - 152*y**2 + 1/240*y**5 - 1/56*y**7 + 0*y**3 - 1/16*y**4. Determine r so that i(r) = 0.
-1/2, 0, 1, 6
Let i be 67/(-7) - (28/21)/(18 + (-4352)/240). Factor -18/7*l**2 - 15/7*l**3 - i*l**4 + 0*l + 0.
-3*l**2*(l + 2)*(l + 3)/7
Let p(l) = 8*l**2 + 10*l - 3. Let v(g) = -4*g**2 + 5. Let y(q) = -44*q**2 + 2*q + 56. Let c(m) = 68*v(m) - 6*y(m). Let o(s) = -3*c(s) - 4*p(s). Factor o(x).
-4*x*(2*x + 1)
Factor 0 - 2/5*i**2 - 4178/5*i.
-2*i*(i + 2089)/5
Let s(a) = -4*a**2 - 197*a - 2497. Let v be (-2 - -5)*(-1)/1. Let m(i) = -12*i**2 - 592*i - 7492. Let z(l) = v*m(l) + 8*s(l). Factor z(p).
4*(p + 25)**2
Let x(z) be the third derivative of z**5/36 - 5*z**4 + 1173*z**2. Factor x(m).
5*m*(m - 72)/3
Let t(d) be the second derivative of -7/36*d**4 + 5/9*d**3 + 44*d - 1/60*d**5 + 8/3*d**2 + 0. Factor t(l).
-(l - 2)*(l + 1)*(l + 8)/3
Let d(c) be the first derivative of 300*c**2 + 108 - 3*c**5 - 540*c**3 + 0*c + 153/2*c**4. Suppose d(w) = 0. What is w?
0, 2/5, 10
Let v(h) be the second derivative of 8*h**7/21 + 44*h**6/15 + 21*h**5/4 + 37*h**4/12 + 2*h**3/3 - 36*h - 1. Factor v(k).
k*(k + 1)*(k + 4)*(4*k + 1)**2
Let o be (-20)/8*-3*(-20)/25. Let d be (5/o)/(15 + 182/(-12)). Factor 0*a + 16/7*a**d + 4/7*a**2 + 0 + 32/7*a**4 + 20/7*a**3.
4*a**2*(a + 1)*(2*a + 1)**2/7
Let g(j) be the second derivative of 0*j**2 + 4/27*j**3 + 39 - 1/27*j**4 + 2*j. Factor g(u).
-4*u*(u - 2)/9
Let z = -100/5206541 - -61552170802/23070183171. Let i = z + -2/1477. Find p such that 0 - i*p**2 - 5/3*p**3 - 4/3*p - 1/3*p**4 = 0.
-2, -1, 0
Let i = 1111/11610 - -5/1161. Let o(t) be the second derivative of i*t**5 + 0 + 11*t + 1/15*t**6 - 1/3*t**3 + 0*t**2 - 1/6*t**4. Suppose o(b) = 0. Calculate b.
-1, 0, 1
Let v be 16/(-6)*(-2 - (-2540)/(-8)). Let h = -850 + v. Factor 1/2 + 1/2*m**h - m.
(m - 1)**2/2
Let a(g) be the first derivative of -108*g**5/5 + 1287*g**4 + 575*g**3 + 72*g**2 - 208. What is f in a(f) = 0?
-1/6, 0, 48
Let x(z) be the second derivative of -z**6/120 + z**5/40 + 3*z + 68. Factor x(v).
-v**3*(v - 2)/4
Let b be 12*((-5180)/308 + 17). Factor b*z**2 + 0*z + 0 + 10/11*z**4 + 64/11*z**3.
2*z**2*(z + 6)*(5*z + 2)/11
Let p(m) be the third derivative of 16/33*m**3 - 7/330*m**5 - 1/660*m**6 - 58*m**2 + 0*m + 0 + 5/66*m**4. Factor p(b).
-2*(b - 2)*(b + 1)*(b + 8)/11
Let z(p) = -5*p - 38. Let f be z(-2). Let s be (3 - 2) + -7*8/f. Let 0 + 1/11*l**4 + 1/11*l**2 - 2/11*l**s + 0*l = 0. Calculate l.
0, 1
Let f be 0/((-19 - -23)*2/4). Let v(b) be the second derivative of 0 + 5/6*b**4 + f*b**2 - 3/4*b**5 + 5*b + 0*b**3 + 1/6*b**6. Solve v(s) = 0 for s.
0, 1, 2
Let a = 2883 + -2879. Let n(m) be the first derivative of -1/22*m**a + 6/55*m**5 + 4/11*m - 2 + 1/11*m**2 - 10/33*m**3. Suppose n(f) = 0. What is f?
-1, -2/3, 1
Let u(d) be the second derivative of d**9/9072 - d**8/2016 + d**7/1512 + 5*d**4/12 + 13*d**3/6 - 150*d. Let m(r) be the third derivative of u(r). Factor m(t).
5*t**2*(t - 1)**2/3
Let a(c) be the first derivative of c**3/3 + 367*c**2/6 + 122*c/3 - 1860. Factor a(j).
(j + 122)*(3*j + 1)/3
Factor -2412 - 2212*v + 661*v + 4*v**2 - 2215*v + 6174*v.
4*(v - 1)*(v + 603)
Let z(v) be the first derivative of -v**4/14 + 166*v**3/21 - 1840*v**2/7 + 9600*v/7 + 202. Factor z(p).
-2*(p - 40)**2*(p - 3)/7
Let a(t) be the third derivative of 5*t**8/336 - 103*t**7/42 + 295*t**6/12 - 385*t**5/6 - 985*t**4/8 + 1455*t**3/2 + 9329*t**2. Suppose a(o) = 0. What is o?
-1, 1, 3, 97
Let k(i) be the first derivative of i**4/2 + 76*i**3/21 - 27*i**2/7 - 36*i/7 - 556. Factor k(u).
2*(u - 1)*(u + 6)*(7*u + 3)/7
Let m(q) be the third derivative of -q**8/1680 - q**7/210 - q**6/80 - q**5/60 - 23*q**4/24 - 34*q**2. Let z(p) be the second derivative of m(p). Factor z(f).
-(f + 2)*(2*f + 1)**2
Let l(r) = r**3 - 19*r**2 + 35*r - 25. Let w(p) = 29*p**3 - 56*p**2 - 27*p**3 - 54*p + 160*p - 12 - 62. Let d(v) = -11*l(v) + 4*w(v). Let d(q) = 0. What is q?
-7, 1
Let l = -161 - -163. Factor -10330*o**5 - 5*o**4 + 15*o**4 + 10325*o**5 + 3*o - 10*o**l + 2*o.
-5*o*(o - 1)**3*(o + 1)
Let o(d) be the third derivative of -d**6/40 - 21*d**5/4 + d**4/8 + 105*d**3/2 - 7983*d**2. Find w, given that o(w) = 0.
-105, -1, 1
Let i(v) = -v**2 - 10*v + 3. Let m be i(-10). Solve 8*x**2 - 12*x**2 + m*x**2 - 28*x + 8 + 13*x**2 = 0 for x.
1/3, 2
Let w(l) be the third derivative of l**8/196 + 5*l**7/147 + 8*l**6/105 + 2*l**5/35 + 2*l**2 + 25*l + 3. What is c in w(c) = 0?
-2, -3/2, -2/3, 0
Let v(u) = 2*u**2 - 20*u + 4. Let g(h) = -1 + 41*h - 6 + 98*h**2 - 208*h**2 + 106*h**2. Let w(z) = 4*g(z) + 7*v(z). Factor w(s).
-2*s*(s - 12)
Suppose 2*b - 5 = p - 4, -4*b = -5*p + 19. Let j(r) be the first derivative of