 -n + 8/17*v**3 + 10/17*v - i*v**2.
2*(v - 1)*(2*v - 1)**2/17
Let k(d) be the third derivative of d**6/40 - 3*d**5/5 + 41*d**4/8 - 15*d**3 - 2070*d**2. Let k(g) = 0. Calculate g.
1, 5, 6
Let j be 0 + 4 + 1 + 6672/(-240). Let i = j - -422/15. Factor -2/3*a**3 + 4*a**2 - 8*a + i.
-2*(a - 2)**3/3
Suppose 2*f - 7*f = 3*f. Let z(q) be the third derivative of -10*q**2 + 15/4*q**6 + f*q + 8*q**3 + 0 + 43/3*q**4 - 25/21*q**7 + 13*q**5. Factor z(m).
-2*(m - 3)*(5*m + 2)**3
Let c = 70 - 58. Factor -t + c*t - 2*t - 6*t**2 + 3*t**3 - 6*t.
3*t*(t - 1)**2
Let m = -40923 - -450155/11. Solve m*l**4 - 1/11*l**2 + 3/11*l**3 - 1/11 - 3/11*l = 0.
-1, -1/2, 1
Factor -2/5*x**3 - 692/5*x**2 - 696/5 + 278*x.
-2*(x - 1)**2*(x + 348)/5
Let i(k) = 6*k**5 - 80*k**4 + 108*k**3 + 496*k**2 + 294*k - 64. Let a(x) = x**5 + 2*x**4 - 8. Let u(w) = -8*a(w) + i(w). What is v in u(v) = 0?
-49, -1, 0, 3
Suppose c = 4*p + 2, -28*c = 4*p - 27*c - 2. Suppose -3/4*s + 3/8*s**2 + 15/8*s**4 + 3*s**3 + p = 0. Calculate s.
-1, 0, 2/5
Let i(r) = -3*r**3 - 2*r**2 + r. Let n(y) = 16*y**3 + 28*y**2 + 10*y - 34. Let j(z) = -10*i(z) - 2*n(z). Suppose j(g) = 0. What is g?
-17, -2, 1
Let m be -4 + (-3)/(-3) + 7. Let h be ((-10)/m + 24/12)*-4. Factor 432 + 76*b - 44*b**h + 87*b**2 - 40*b**2 - 4*b.
3*(b + 12)**2
Let g = 96 + -99. Let u(f) = -4*f**2 + 12*f - 15. Let t(d) = -d**2 + d + 1. Let s(z) = g*t(z) + u(z). Solve s(l) = 0 for l.
3, 6
Let s(a) be the third derivative of 81*a**8/224 - 27*a**7/10 + 3*a**6/5 + 656*a**5/45 + 64*a**4/3 + 128*a**3/9 + 1059*a**2. Suppose s(b) = 0. Calculate b.
-4/9, 2, 4
Factor -59*r - 440 - 6*r**2 - 281 + 157 + 5*r**2.
-(r + 12)*(r + 47)
Let l(i) be the third derivative of -i**6/40 - 11*i**5/5 + 45*i**4/8 + 1316*i**2. Factor l(j).
-3*j*(j - 1)*(j + 45)
Let m = -16804/3 + 5603. Let s(n) be the second derivative of -22*n + 0*n**2 + 0*n**3 + 0 + m*n**4 - 1/4*n**5. Factor s(o).
-5*o**2*(o - 4)
Find q such that 263/4*q - 5/4*q**2 - 39 = 0.
3/5, 52
Let r(t) be the second derivative of 20736/5*t**2 + 0 - 3/100*t**5 + 18/5*t**4 + 76*t - 864/5*t**3. Factor r(b).
-3*(b - 24)**3/5
Let o(m) be the third derivative of -27*m**6/20 - 2163*m**5/5 - 2881*m**4/12 - 160*m**3/3 - 3*m**2 - 1686. Factor o(j).
-2*(j + 160)*(9*j + 1)**2
Let z = 465122/15 + -219070667/7065. Let w = z - 5/157. Let 4/9*f**2 + 0 - 2/9*f**3 - w*f = 0. What is f?
0, 1
Let w = 2689/70980 - 6/169. Let v(j) be the third derivative of 1/21*j**4 + 0 - w*j**5 - 8/21*j**3 + 8*j**2 + 0*j. Factor v(a).
-(a - 4)**2/7
Let l(r) = -2*r**2 - 42*r + 95. Let x be l(-23). Let o(k) be the first derivative of -13 + 0*k**2 + 0*k + 1/4*k**x. Determine i, given that o(i) = 0.
0
Let x(o) be the third derivative of o**7/126 - 5*o**6/18 + 9*o**5/4 - 25*o**4/4 - 1207*o**2. Factor x(i).
5*i*(i - 15)*(i - 3)*(i - 2)/3
Let f = 442570 + -1656205/4. Let f*c**2 - 2313441/8 + 2076165/8*c + 155/8*c**4 + 4485/4*c**3 + 1/8*c**5 = 0. What is c?
-39, 1
Let b(l) = 14*l**2 + 48*l - 176. Let o(c) be the third derivative of -c**5/12 - 5*c**4/8 + 59*c**3/6 - 57*c**2 + c. Let v(m) = -3*b(m) - 8*o(m). Factor v(p).
-2*(p - 2)*(p + 14)
Factor 2379*s**5 + 729*s - 48*s**4 - 61*s**3 + 108*s**4 - 810*s**2 + 178*s**3 - 2375*s**5.
s*(s + 9)**2*(2*s - 3)**2
Factor -6*o**3 - 124023*o**2 - 142*o + 52*o + 11*o**3 + 123988*o**2.
5*o*(o - 9)*(o + 2)
Let w = 78 + -74. Suppose 5*i - 8 = 2*i - 4*p, 0 = w*i + 5*p - 10. Find g such that -g**2 + i*g - 2*g + 3*g = 0.
0, 1
Let q(m) = -2*m**3 - 130*m**2 + 266*m - 134. Let n(d) = -d**3 - 132*d**2 + 267*d - 134. Let p(t) = -3*n(t) + 2*q(t). Factor p(w).
-(w - 134)*(w - 1)**2
Let o(n) be the third derivative of n**8/784 - 19*n**7/1470 + 3*n**6/140 + n**5/30 - n**4/8 + 5*n**3/42 + 594*n**2 - 1. What is h in o(h) = 0?
-1, 1/3, 1, 5
Let n(o) = -7*o**3 - 6*o**2 + o - 4. Let p(d) = 6*d**3 + 6*d**2 + 3. Let x be -6 - -1*(8 + -5). Let t(y) = x*n(y) - 4*p(y). Factor t(c).
-3*c*(c + 1)**2
Factor -1/4*f**2 - 459/2 + 919/4*f.
-(f - 918)*(f - 1)/4
Let n = 84 + -48. Let s = n - 27. Find b such that -18*b**2 - 3*b**3 - 3*b**5 + 6*b + s*b**4 + 6*b**2 - 3*b**2 + 6*b**2 = 0.
-1, 0, 1, 2
Let z be (-6)/(-81) + -7999*6/(-162). Let r = z + -881/3. Solve -2*w**2 + 4/3*w**3 - 2/9*w**4 + r - 8/9*w = 0.
-1, 2, 3
Let o = -108917 - -108919. Find n such that -10/7*n**3 + 0*n - 2/7*n**4 - 6/7*n**o + 2/7*n**5 + 0 = 0.
-1, 0, 3
Let y = 1003 + -999. Let m(x) be the second derivative of 11*x + 1/24*x**y + 1/4*x**2 + 1/6*x**3 + 0. Factor m(k).
(k + 1)**2/2
Let r(y) = -45*y + 545. Let c be r(12). Let z(k) be the second derivative of 0 - 1/150*k**c + 1/30*k**4 + 0*k**3 - 5*k + 0*k**2. Factor z(o).
-2*o**2*(o - 3)/15
Let b be (-105)/18*(-6111)/98. Let c = -362 + b. Factor -5/4*g**3 - 3/4*g + 0 + 1/4*g**4 + c*g**2.
g*(g - 3)*(g - 1)**2/4
Let c(m) = -13*m**3 - 12*m**2 + m. Let o(p) = 14*p**3 + 14*p**2 - p. Let y(z) = -9*c(z) - 8*o(z). Suppose y(r) = 0. Calculate r.
-1/5, 0, 1
Let o(a) be the third derivative of 0*a**4 + 6*a**2 + 0*a + 1/180*a**6 + 5/3*a**3 + 0 + 0*a**5. Let c(f) be the first derivative of o(f). Factor c(v).
2*v**2
Let z(q) be the first derivative of 0*q + 4/25*q**5 - 8/5*q**2 + 155 - 16/15*q**3 + 1/5*q**4. Factor z(n).
4*n*(n - 2)*(n + 1)*(n + 2)/5
Let d be ((-1001)/(-715))/((-6)/(-10)). Factor -16/3 - 10/3*c + 1/3*c**3 + d*c**2.
(c - 2)*(c + 1)*(c + 8)/3
Let z(x) be the third derivative of x**6/60 + x**5 + 131*x**4/12 + 50*x**3 - 5980*x**2. Suppose z(f) = 0. Calculate f.
-25, -3, -2
Find j such that 52*j**3 - 312*j**4 + 154*j**4 - 90*j + 148*j**4 + 6*j - 40*j**2 + 18 = 0.
-1, 1/5, 3
Factor -38*w**2 - 61*w + 165*w**2 - 41*w**2 - 43*w**2 - 42*w**2 - 260.
(w - 65)*(w + 4)
Suppose -5*m + 2*n = 1 + 13, 4*m - 5*n + 18 = 0. Let f be m/(-11) + (-651)/(-231). Suppose -3/4 + 3/4*h - 3/4*h**f + 3/4*h**2 = 0. Calculate h.
-1, 1
Let k(c) be the third derivative of 81*c**7/140 - 1953*c**6/20 + 2231*c**5/8 - 951*c**4/4 + 95*c**3 + 4288*c**2. Suppose k(b) = 0. What is b?
2/9, 1, 95
Let a(g) be the second derivative of g**4/126 + 127*g**3/21 + 54*g**2 - 1627*g. Suppose a(y) = 0. What is y?
-378, -3
Let j(r) be the second derivative of 1/70*r**5 + 0*r**3 + 0 - 13*r + 0*r**4 + 0*r**2. Factor j(g).
2*g**3/7
Let d be (6/(-8) - (-39)/36)/(3 - (-156)/(-54)). Factor 27*j**2 + 0*j + 3/7*j**d + 0.
3*j**2*(j + 63)/7
Let v(l) be the first derivative of -147*l**5/20 + 371*l**4/4 - 100*l**3 + 42*l**2 + 183*l + 206. Let n(i) be the first derivative of v(i). Factor n(y).
-3*(y - 7)*(7*y - 2)**2
Let s = -974 + 1093. Let t be s/140 + 7/(-84)*3. Determine v so that t*v**2 + 9/5*v - 12/5 = 0.
-4, 1
Let u be (232*((-21)/12 + 2))/42. Let h = 121/42 - u. Factor -9/8*t**2 + h*t - 3/8.
-3*(t - 1)*(3*t - 1)/8
Let c(v) = -16*v**3 - 240*v**2 - 5789*v + 34789. Let s(r) = -14*r**3 - 238*r**2 - 5788*r + 34792. Let x(u) = -6*c(u) + 7*s(u). Factor x(a).
-2*(a - 5)*(a + 59)**2
Let v(n) be the third derivative of n**6/240 - 17*n**5/120 - 89*n**4/48 + 35*n**3/4 + 1144*n**2. Factor v(z).
(z - 21)*(z - 1)*(z + 5)/2
Let z(s) be the second derivative of 5*s**4/12 - 10735*s**3/6 + 5365*s**2 - 3733*s + 1. Factor z(r).
5*(r - 2146)*(r - 1)
Let z(j) be the third derivative of 0 + 66*j**2 - 1/30*j**4 - 1/600*j**5 + 0*j - 4/15*j**3. Find d, given that z(d) = 0.
-4
Let d(t) = 5*t**2 - 6*t - 32. Let o be (-2 + 1)/((-4)/56*-2). Let l(z) = -10*z**2 + 13*z + 66. Let f(b) = o*d(b) - 4*l(b). Factor f(i).
5*(i - 4)*(i + 2)
Let h(a) be the second derivative of -1 - 1/5*a**5 + 4/3*a**3 - 2/21*a**7 - 13/3*a**4 + 10*a + 16*a**2 + 2/3*a**6. Determine q, given that h(q) = 0.
-1, 1, 2, 4
Factor -2048/7 - 2/7*p**3 + 384/7*p + 0*p**2.
-2*(p - 8)**2*(p + 16)/7
Let s(j) be the third derivative of j**6/120 - j**5/5 + 8*j**3/3 - 10*j**2. Let f be s(12). Suppose 2 + 0 - f*a - 9*a**2 + 6 - 4 = 0. What is a?
-2, 2/9
Let q(t) be the third derivative of t**7/1785 + 232*t**6/255 + 53824*t**5/85 + 12487168*t**4/51 + 2897022976*t**3/51 - 130*t**2. Factor q(m).
2*(m + 232)**4/17
Let h(k) = -2*k**2 - 6*k + 8. Let t(r) be the third derivative of r**5/10 + 3*r**4/4 - 4*r**3 - 6*r**2 - 3. Let x(u) = -17*h(u) - 6*t(u). Factor x(o).
-2*(o - 1)*(o + 4)
Let a = 97/875 + 4/125. Let z(h) be the second derivative of -5/42*h**3 - 1/28*h**4 - a*h**2 - 9*h + 0. Find i, given that z(i) = 0.
-1, -2/3
Let p = 174403/18686 - 1/56058. Solve 0 - 22*z**3 + p*z