erivative of v**7/140 - 37*v**6/40 + 71*v**5/40 + 73*v**4/8 + 3232*v**2. Factor o(r).
3*r*(r - 73)*(r - 2)*(r + 1)/2
Let t = 134745/56 - 19247/8. Determine r so that 16/7*r - t*r**3 + 2/7*r**2 - 24/7 = 0.
-3, 2
Let m(g) be the first derivative of -4*g**3/15 - 126*g**2/5 - 488*g/5 - 1681. Factor m(l).
-4*(l + 2)*(l + 61)/5
Let s(w) be the first derivative of w**3/9 + 31*w**2/2 + 92*w/3 + 73. Determine f, given that s(f) = 0.
-92, -1
Let r(n) be the third derivative of n**8/20160 + n**7/1260 + 47*n**5/30 + 82*n**2. Let j(a) be the third derivative of r(a). Factor j(l).
l*(l + 4)
Let k(n) be the second derivative of -1/70*n**6 + 8*n**2 + 4/105*n**5 + 30*n + 0 + 0*n**3 + 2/21*n**4. Let g(x) be the first derivative of k(x). Factor g(s).
-4*s*(s - 2)*(3*s + 2)/7
Let j be 1*(0*(-4)/36 + 0). Let w(f) be the first derivative of 4/27*f**3 + 5 - 2/9*f - 2/45*f**5 + 0*f**4 + j*f**2. Factor w(p).
-2*(p - 1)**2*(p + 1)**2/9
Let v be ((-1)/(-15))/(5/345). Let j = v + -22/5. Factor -1/5*t**3 + 0 - j*t**2 + 2/5*t.
-t*(t - 1)*(t + 2)/5
Let l(j) be the second derivative of j**5/20 + 73*j**4/12 + 517*j**3/2 + 7623*j**2/2 - 8845*j. Determine h, given that l(h) = 0.
-33, -7
Factor 482*a**2 - 110*a**2 + 732*a - 1448 - 4*a**3 + 455*a**2 - 107*a**2.
-4*(a - 181)*(a - 1)*(a + 2)
Let i = 1841 - 1838. Suppose 0 = -5*g, 4*n + g - 16 = -3*g. Factor 3*d**n - 16*d**2 + 3*d**4 - 73*d**i + 2*d**5 + 61*d**3.
2*d**2*(d - 2)*(d + 1)*(d + 4)
Factor -619*f - 113*f - 859*f**3 - 720 + 28*f**2 - 220*f**2 + 856*f**3.
-3*(f + 2)**2*(f + 60)
Let d = 83 - 37. Suppose 0 = d*q - 52*q + 12. Solve -2/7*k + 2/7*k**3 + 0 + 2/7*k**4 - 2/7*k**q = 0.
-1, 0, 1
Let v(b) = -41*b**2 + 349*b - 1022. Let k(j) = 182*j**2 - 1393*j + 4089. Let y(u) = -2*k(u) - 9*v(u). Determine c so that y(c) = 0.
3, 68
Let y = 2537/5465 - -8/3279. Let h(u) be the second derivative of -y*u**3 - 2/5*u**4 - 28*u - 1/30*u**6 + 0 - 3/10*u**2 - 9/50*u**5. Factor h(c).
-(c + 1)**3*(5*c + 3)/5
Let f(j) = -j**3 + 50*j**2 - 97*j + 36. Let o(h) = 2*h**3 - 102*h**2 + 198*h - 71. Let c(n) = 9*f(n) + 4*o(n). Factor c(i).
-(i - 40)*(i - 1)**2
Let s(m) = -2 - m**3 + 1 - 39*m**2 + 40*m**2 + 2*m**3. Let d(z) = z**4 + 9*z**2 - 2*z - 4. Let l(c) = d(c) - 4*s(c). What is j in l(j) = 0?
0, 1, 2
Let l(k) be the third derivative of 8*k**2 + 2/5*k**4 + 0 - 3*k + 1/15*k**3 + 24/25*k**5. What is i in l(i) = 0?
-1/12
Determine d, given that 5/2*d**2 + 1020*d - 2045/2 = 0.
-409, 1
Suppose -2*w = 48 + 6. Let d(x) = -2*x - 51. Let b be d(w). Determine v, given that 10 - 7*v**2 + 27*v**2 + 5*v**b + 35*v + 0*v - 10*v = 0.
-2, -1
Let g(s) be the third derivative of -s**6/180 + 7*s**5/180 + s**4/18 - 964*s**2 - 2. Factor g(f).
-f*(f - 4)*(2*f + 1)/3
Let p(w) be the third derivative of 0*w**3 + 0*w - 2 + 0*w**4 + 7/200*w**6 - 1/50*w**5 + 10*w**2 - 1/70*w**7. Find l such that p(l) = 0.
0, 2/5, 1
Suppose 6*q = 3*q - 66. Let f = q - -31. Solve f*h**2 - 17*h**2 + 9*h**2 + 2*h + 1 = 0.
-1
Let z(v) = -6*v - 76. Let k be z(-13). What is x in 9*x**k - 19*x**2 - 12*x - 18 + 8*x**2 = 0?
-3
Suppose x - 18 = -4*c, -2*x + 18*c = 14*c + 12. Factor 3 - 3*s**4 + 6*s**3 + 6*s**4 - 3*s - 5*s**5 - 6*s**2 + x*s**5 + 0*s**4 + 0*s**2.
-3*(s - 1)**3*(s + 1)**2
Factor 0*h - 38/7*h**4 - 1/7*h**5 + 0 - 73/7*h**3 - 36/7*h**2.
-h**2*(h + 1)**2*(h + 36)/7
Let x = -1 + 3. Let b = 13/2896 + 1435/2896. Suppose -b + 3/8*q**x - 1/8*q**3 + 0*q = 0. Calculate q.
-1, 2
Let w = 457 + -455. Factor r**2 - 83*r**3 - 6*r**2 + 82*r**3 + 3*r**w.
-r**2*(r + 2)
Determine n, given that 210*n - 227*n - 454*n + 3*n**2 + 468 = 0.
1, 156
Let x = -706343 - -2826703/4. Let x + 17/2*b**3 + 1/4*b**4 + 99*b**2 + 847/2*b = 0. What is b?
-11, -1
Let d(h) = h + 39. Let b be d(-35). Suppose -21*v + 7*v = b*v. Solve -1/2*a**4 - a**3 + 0*a - 1/2*a**2 + v = 0.
-1, 0
Suppose -37905 + 4644 = -11087*d. Let c be (-2)/3 + 22/15. Suppose 2/5*l**d + c - l - 7/5*l**2 = 0. Calculate l.
-1, 1/2, 4
Let u(q) be the third derivative of -q**7/1050 + 17*q**6/75 - 987*q**5/50 + 8836*q**4/15 + 103823*q**3/6 + 2*q**2 - 2953*q. Solve u(v) = 0 for v.
-5, 47
Let p(m) be the first derivative of 4*m**3/15 - 278*m**2/5 + 552*m/5 - 909. Let p(b) = 0. Calculate b.
1, 138
Let r(a) be the second derivative of 1/105*a**5 + 1/840*a**6 - 14*a + 0 + 1/42*a**4 + 21/2*a**2 + 0*a**3. Let f(p) be the first derivative of r(p). Factor f(w).
w*(w + 2)**2/7
Let p(q) be the first derivative of -4*q**3/3 + 112*q**2 - 1657. Suppose p(o) = 0. Calculate o.
0, 56
Suppose 4*b - 5*g = 98, 3*g + 1311 - 1253 = 2*b. Suppose -1/3*u**2 + 0 + b*u = 0. Calculate u.
0, 6
Let b be ((-1976)/(-342) + -6)*-9. Determine q, given that 0 + 3/5*q**b + 21/5*q**3 + 0*q = 0.
-1/7, 0
Factor 335*n**3 - 216*n + 28*n**4 - 13374*n**2 - 7*n**3 + 14034*n**2.
4*n*(n + 3)*(n + 9)*(7*n - 2)
Let y = 397 - 377. Let -122*o**4 + 5*o**2 + 72*o - 10*o**2 + 38*o**3 + 119*o**4 - y - 82*o**2 = 0. Calculate o.
2/3, 1, 10
Let j(v) be the second derivative of v**9/10080 + v**8/2240 + v**7/1680 + v**4/12 + 7*v**3/2 - 61*v. Let a(y) be the third derivative of j(y). Factor a(u).
3*u**2*(u + 1)**2/2
Let p be (-128)/(-144)*(-6)/(-56). Let s(a) be the first derivative of -14 - 2/7*a**2 + p*a**3 - 6/7*a. Find r, given that s(r) = 0.
-1, 3
Let n be (4/(-8))/(3/(-60)). Let c(t) = t**3 - t**2 + 1. Let i(p) = -2*p**2 + 2*p + 2 + 0 + 4*p**2 - p**2 + 3*p**3. Let m(o) = n*c(o) - 5*i(o). Factor m(s).
-5*s*(s + 1)*(s + 2)
Let c be 247/(-91)*7 - -22. Factor 0 + 2/11*m**2 + 0*m + 6/11*m**c.
2*m**2*(3*m + 1)/11
Suppose 0 = -3*k + 11 - 5. Let -11*z**2 - 3*z**4 - 10*z + 16*z**k - 5*z - 2*z**4 + 15*z**3 = 0. What is z?
-1, 0, 1, 3
Suppose -90*j + 273 = 22*j - 14*j + 77. Solve 0 - 7/2*z**j + 1/4*z**3 - 8*z = 0 for z.
-2, 0, 16
Let o = -34037/4 + 8513. Let h(f) = -f**2 + 7*f - 7. Let w be h(5). Find q such that -7*q - o*q**4 - 14*q**w - 1 - 65/4*q**2 = 0.
-2, -1, -2/5, -1/3
Let v = 98 + -100. Let a be ((-1)/v)/(572/39 + -14). Suppose 1/4*x**5 + a*x - x**3 + 1/2 + 0*x**4 - 1/2*x**2 = 0. Calculate x.
-1, 1, 2
Let y(m) = -25*m**3 - 321*m**2 + 16*m + 1173. Let b(r) = -75*r**3 - 966*r**2 + 51*r + 3518. Let u(t) = -3*b(t) + 8*y(t). Let u(p) = 0. What is p?
-13, -2, 9/5
Let l(m) be the first derivative of m**6/57 + 12*m**5/19 + 299*m**4/38 + 1940*m**3/57 - 300*m**2/19 - 2000*m/19 - 1280. Solve l(z) = 0.
-10, -1, 1
Let t(d) be the first derivative of 6*d**2 + 9/10*d**6 + 28 + 14*d**3 + 53/4*d**4 + 57/10*d**5 + 4*d. Let p(m) be the first derivative of t(m). Factor p(g).
3*(g + 1)**2*(g + 2)*(9*g + 2)
Let t(s) be the second derivative of -s**6/48 + s**5/4 + 35*s**4/48 - 69*s**2/2 + 7*s + 1. Let k(m) be the first derivative of t(m). Let k(p) = 0. What is p?
-1, 0, 7
Let x be (2550/54 - 3) + 4/(-18). Suppose 41*m = x*m - 12. Determine z so that -16/9*z**3 - 44/9*z**2 - 16/3*z - 2 - 2/9*z**m = 0.
-3, -1
Let i(s) = -19*s + 7 - 2 - 1 + 2*s**2 + 8. Let u be ((-1)/(-1))/((-5)/25). Let a(q) = q**2 - 10*q + 6. Let l(r) = u*a(r) + 3*i(r). Factor l(g).
(g - 6)*(g - 1)
Suppose 0 = 3*l - z + 3*z - 23, 0 = -2*l - 2*z + 14. Let a be (4/12)/(l/162). Suppose 3*f**5 - f**5 - 4*f**2 - 8*f**4 + 4*f**3 + a*f**3 = 0. Calculate f.
0, 1, 2
Suppose -52*a**4 - 5743/2*a**2 + 984*a**3 - 1089/2 + 9933/4*a + 3/4*a**5 = 0. Calculate a.
1/3, 1, 2, 33
What is g in 24*g - 45 + 6*g + 13*g**2 + 18*g - 15*g - g**3 + 0*g = 0?
-3, 1, 15
Let q be 5/2*15/(19125/34). Let o(n) be the first derivative of 0*n**4 - 1/9*n**3 - 5 + 0*n + q*n**5 - 1/12*n**2 + 1/36*n**6. Find c, given that o(c) = 0.
-1, 0, 1
Let o(d) be the third derivative of -1/6*d**4 - 137*d**2 + 0*d**3 + 0 - 2*d + 1/120*d**6 - 1/15*d**5 + 1/210*d**7. Solve o(c) = 0 for c.
-2, -1, 0, 2
Determine d, given that 0 + 768/7*d**2 - 108*d - 201/7*d**3 + 3/7*d**4 = 0.
0, 2, 63
Let r(c) = -13*c**2 - 18550*c + 6103. Let s(o) = -90*o**2 - 129850*o + 42680. Let u(k) = -15*r(k) + 2*s(k). Factor u(j).
5*(j + 1237)*(3*j - 1)
Let s(b) be the third derivative of b**5/15 + 49*b**4/8 - 37*b**3/6 - 2641*b**2. Factor s(x).
(x + 37)*(4*x - 1)
Let v(z) be the second derivative of -5*z**5/4 + 10*z**4/3 - 5*z**3/6 - 5*z**2 + 625*z. Suppose v(h) = 0. Calculate h.
-2/5, 1
Solve 84*s**4 - 44*s**4 - 43*s**4 + 27*s**2 - 12*s - 36 = 0 for s.
-3, -1, 2
Let l(a) be the first derivative of 3*a**4/17 + 98*a**3/51 + 8*a**2/17 - 2257. Determine t, gi