ve of -4/39*h**3 - 7/13*h**2 + 8/13*h - 26. Factor b(c).
-2*(c + 4)*(2*c - 1)/13
Let g = 295/42 + -48/7. Let j(z) be the second derivative of g*z**4 - 4*z + 0 + 0*z**3 - 4*z**2. Factor j(p).
2*(p - 2)*(p + 2)
Suppose -3*h + 53 = -4*f + 59, -h = -2. Let s(n) be the third derivative of 0*n + 0*n**f + 0 - 6*n**2 - 1/120*n**5 - 1/24*n**4. Factor s(w).
-w*(w + 2)/2
Factor 140 + 8*t - 48 - 45 - 39 + 2*t**2.
2*(t + 2)**2
Let p(y) be the first derivative of -2*y**3/33 + 111*y**2/11 + 224*y/11 - 307. Factor p(o).
-2*(o - 112)*(o + 1)/11
Let q be 1 + 0 - ((-7 - 161) + -2). Let g = -169 + q. Find k, given that 2/9*k**3 + 50/9 - g*k**2 + 10/3*k = 0.
-1, 5
Let a(q) = -4*q**3 + 568*q**2 - 6300*q - 15000. Let x(g) = -g**3 + 189*g**2 - 2100*g - 5000. Let u(p) = -3*a(p) + 8*x(p). Factor u(k).
4*(k - 25)**2*(k + 2)
Let v(s) be the first derivative of -14*s**5/5 - 19*s**4/2 - 16*s**3/3 + 4*s**2 - 103. Let v(p) = 0. Calculate p.
-2, -1, 0, 2/7
Let r be (-462)/(-88)*(-7)/(-98). Factor 3/8*m**2 + 0*m - r.
3*(m - 1)*(m + 1)/8
Factor 8787*x**2 + 29*x - 8 - 8796*x**2 + 2.
-(x - 3)*(9*x - 2)
Let k = 12 + 23. Let j be (0/(k/7))/3. Factor 1/4*t**4 + 0 - 1/4*t**2 + j*t + 0*t**3.
t**2*(t - 1)*(t + 1)/4
Solve -20658*y**3 + 410*y + 11029*y**3 - 98 + 100 + 20806*y**2 - 11589*y**3 = 0.
-1/103, 1
Let i(f) be the first derivative of 4*f**2 + 0*f + 24 - 3/2*f**4 + 25/6*f**6 - 28/3*f**3 + 11*f**5. Solve i(j) = 0.
-2, -1, 0, 2/5
Let d = 16070 + -144622/9. Let 4/9*z**3 - 2/3*z**2 - d - 16/9*z + 2/9*z**4 = 0. Calculate z.
-2, -1, 2
Let z = 92689/44 + -8371/4. Suppose 30/11*h**3 - z*h**2 + 136/11*h - 32/11 = 0. Calculate h.
2/5, 2/3, 4
Let z(t) = 4*t**2 - 5*t - 10. Let c be z(5). Let d be -9 + 530/c - -1*1. Factor -4/13 + 14/13*p + 10/13*p**3 - d*p**4 - 18/13*p**2.
-2*(p - 2)*(p - 1)**3/13
Determine p so that -4/7*p**2 - 12/7*p - 8/7 = 0.
-2, -1
Factor -3/2*y**2 - 2 + 5*y - 9/4*y**3.
-(y + 2)*(3*y - 2)**2/4
Let p(r) be the second derivative of -3*r**5/140 + 177*r**4/28 - 10443*r**3/14 + 616137*r**2/14 - 43*r - 1. Factor p(x).
-3*(x - 59)**3/7
Determine h, given that 19994/15*h**2 + 808/15*h**3 - 6868/5*h + 8/15*h**4 + 1734/5 = 0.
-51, 1/2
Let p = 523/21 + -76/3. Let u = p + 27/14. What is w in 0 + 1/4*w**5 + u*w**3 + w**2 + 1/4*w + w**4 = 0?
-1, 0
Let k(v) be the third derivative of -7*v**2 + 0*v + 0 + 1/48*v**4 - 1/672*v**8 - 1/60*v**5 + 0*v**6 + 1/210*v**7 + 0*v**3. Factor k(m).
-m*(m - 1)**3*(m + 1)/2
Let m = -1/61 + 91/1830. Let t(h) be the third derivative of 0 + 4*h**2 - 1/3*h**3 + 1/120*h**6 - 1/24*h**4 + 0*h + m*h**5. Factor t(b).
(b - 1)*(b + 1)*(b + 2)
Let z(q) be the third derivative of q**8/1008 - q**7/630 - q**6/60 + 7*q**5/90 - 11*q**4/72 + q**3/6 - 55*q**2. Factor z(t).
(t - 1)**4*(t + 3)/3
Let d(n) be the third derivative of n**6/60 - 19*n**5/210 + 5*n**4/42 + 189*n**2. Solve d(c) = 0.
0, 5/7, 2
Let v(w) be the third derivative of -w**5/420 - 227*w**4/84 - 51529*w**3/42 - w**2 + 193. Factor v(l).
-(l + 227)**2/7
Let i be (-105)/(-455)*26/2. Factor 0 + 3*r**i + 0*r - 7/3*r**4 - 2/3*r**2.
-r**2*(r - 1)*(7*r - 2)/3
Let w(k) be the first derivative of -k**6/60 + 2*k**5/15 - k**4/4 + 3*k**2/2 - 22. Let l(x) be the second derivative of w(x). Factor l(p).
-2*p*(p - 3)*(p - 1)
Let t be (-56)/(-105) + (-2)/10. Let 0 + 2/3*f**4 - 2/3*f**2 - t*f**3 + 1/2*f**5 - 1/6*f = 0. Calculate f.
-1, -1/3, 0, 1
Let n(v) = 3*v + 69. Let c be n(-22). Let s(b) be the third derivative of 5/16*b**4 - 4*b**2 + 0*b - 1/4*b**c - 1/10*b**5 + 0. Factor s(g).
-3*(g - 1)*(4*g - 1)/2
Suppose -11*o + 5*o = 6*o - 24. Factor 9/2*w**4 + 3/2*w**5 - 3*w**o - 9/2*w - 3/2 + 3*w**3.
3*(w - 1)*(w + 1)**4/2
Factor 3/5*q**3 + 0 + 0*q + 3/5*q**2.
3*q**2*(q + 1)/5
Let x(h) be the first derivative of h**3/27 + 22*h**2/9 + 43*h/9 - 260. Suppose x(r) = 0. What is r?
-43, -1
Let c(u) be the first derivative of u**4/4 - u**3/3 + u**2/2 - 6*u + 41. Let h be c(2). Factor 2/5*m + 2/5*m**4 - 2/5*m**2 - 2/5*m**3 + h.
2*m*(m - 1)**2*(m + 1)/5
Let u(y) = 2*y**2 - 19*y + 2. Let k(r) = 4*r**2 - 37*r + 4. Let n(z) = 4*k(z) - 9*u(z). Let o be n(10). Factor -28*q + 4*q**2 + o*q.
4*q**2
Let x(t) be the third derivative of -t**6/180 - 29*t**5/90 + 5*t**4/6 - 6*t**2 - 18. Factor x(w).
-2*w*(w - 1)*(w + 30)/3
Suppose 2*n - 12 - 16 = -5*a, -2*a + 4*n = 8. Factor 9*r**4 - 8*r**2 + 0*r**5 - 3*r**4 + 4*r - 4*r**a - r**5 + 3*r**3.
-r*(r - 2)*(r - 1)**2*(r + 2)
Let k be ((-78)/4)/(9/(-210)). Let m = -5001/11 + k. Let 2/11*q**2 - m*q + 2/11*q**3 + 0 = 0. Calculate q.
-2, 0, 1
Let w be (-85)/75*-4 + -6 + 2. Let f(q) be the first derivative of -2/25*q**5 + 2/5*q**4 + 0*q - w*q**3 + 0*q**2 + 1. Suppose f(r) = 0. Calculate r.
0, 2
Let g be (-36)/162*2/(-16)*2. Let a(k) be the third derivative of 12*k**2 + 1/180*k**6 + 0*k - g*k**5 + 0 + 7/36*k**4 - 1/3*k**3. Find d such that a(d) = 0.
1, 3
Let x(f) = 5*f**2 + 28*f + 11. Let h(v) = -10*v**2 - 55*v - 25. Let q(g) = -3*h(g) - 5*x(g). Factor q(c).
5*(c + 1)*(c + 4)
Let t(z) = -1. Let w(m) = 2*m**2 + 11*m + 20. Let a be w(-3). Let v(n) = 2*n**2 + 30*n + 23. Let p(c) = a*t(c) - v(c). Factor p(s).
-2*(s + 1)*(s + 14)
Let t(k) be the second derivative of k**4/4 + 17*k**3/2 - 27*k**2 - 385*k. Factor t(s).
3*(s - 1)*(s + 18)
Suppose c = -5*u - 4*c + 45, u = 2*c + 6. Suppose u = 5*j - 7. Let o(l) = l**2 - 7*l - 10. Let y(b) = b + 1. Let g(w) = j*o(w) + 24*y(w). Factor g(d).
3*(d - 1)*(d + 2)
Let a be 166/6 - (-3 - (-66)/18). Suppose 22*b = a*b. Suppose 0*o - 9/2*o**3 + b + o**2 = 0. Calculate o.
0, 2/9
Let g(q) = q**4 + 3*q**3 - 3*q**2 + q + 2. Let t(w) = w**2 - w - 1. Let v be (-2 - (3 - 2)) + 2. Let r(i) = v*g(i) - 4*t(i). Factor r(j).
-(j - 1)*(j + 1)**2*(j + 2)
Suppose 18 = 5*j - 2*s, 4*j - 43 + 19 = 4*s. Let 1/2 - 1/4*a**j - 1/4*a = 0. Calculate a.
-2, 1
Let t(f) be the first derivative of -2*f**5/45 + 4*f**3/27 - 2*f/9 + 39. Factor t(y).
-2*(y - 1)**2*(y + 1)**2/9
Let f(o) be the first derivative of -9 + 0*o - 1/3*o**2 - 2/9*o**3. What is m in f(m) = 0?
-1, 0
Suppose -144*n + 451 + 208 = 83. Factor -1/6*h**3 - 1/6*h**n + 1/3*h**2 + 0*h + 0.
-h**2*(h - 1)*(h + 2)/6
Let p(h) = -35*h**2 - 2400*h - 40460. Let g(t) = -5*t**2 - 343*t - 5780. Let j(r) = 20*g(r) - 3*p(r). Factor j(y).
5*(y + 34)**2
Let z(t) be the second derivative of -3*t**5/20 - 227*t**4/12 + 460*t**3/9 - 154*t**2/3 + 2*t - 4. Factor z(i).
-(i + 77)*(3*i - 2)**2/3
Let t be 96/160 - (27/15)/3. Let m(r) be the first derivative of -2/33*r**3 + t*r**2 - 3/44*r**4 + 0*r - 1/55*r**5 + 11. Suppose m(o) = 0. What is o?
-2, -1, 0
Find k, given that -118*k**2 + 12*k**4 - 16*k**3 + 4*k**5 + 118*k**2 = 0.
-4, 0, 1
Factor 0 - 6/5*g - 9/5*g**2.
-3*g*(3*g + 2)/5
Let m(o) be the first derivative of 2*o**5/15 + 2*o**4/3 - 4*o**3/9 - 4*o**2 + 6*o + 30. Let m(b) = 0. Calculate b.
-3, 1
Let s(a) be the third derivative of -1/90*a**4 + 0*a + 0 + 7/450*a**5 + 0*a**3 + 10*a**2. Suppose s(j) = 0. What is j?
0, 2/7
Let g(h) = 4*h + 17. Let j be g(-4). Let q be ((-72)/20)/j + 4. Let 2/5*p**2 + 2/5*p**3 - 2/5*p**5 + 0*p + 0 - q*p**4 = 0. Calculate p.
-1, 0, 1
Let d be (-177)/(-5) + (51/(-15) - -3). Let 15*k + 15*k**3 + 4*k**4 + k**4 - d*k = 0. Calculate k.
-2, 0, 1
Find q, given that -4/3*q - 1/3*q**4 - 2*q**2 - 4/3*q**3 - 1/3 = 0.
-1
Let b be ((-4)/(-6))/(14/21). Let t = 5 - b. Factor 6*r**2 - 2*r**2 - 8 + t*r + 0*r**2.
4*(r - 1)*(r + 2)
Let c be -1 + 64/14 - (-396)/924. Let f(r) be the third derivative of -21/20*r**5 + 0*r - 2*r**2 + 0 - 13/8*r**c - r**3. Factor f(j).
-3*(3*j + 1)*(7*j + 2)
Let r(x) be the second derivative of -1/9*x**4 + 5/27*x**3 - 1/6*x**2 + 1/30*x**5 - 1/270*x**6 + 0 + 13*x. Solve r(j) = 0.
1, 3
Let f = 44 + -36. Let g be f/(-2) - 27/(-3). What is q in 3/2*q**5 + 37/6*q**3 + 2/3*q + 10/3*q**2 + 0 + g*q**4 = 0?
-1, -2/3, 0
Let v(k) be the second derivative of -k**6/105 - k**5/70 + 13*k**4/42 + 25*k**3/21 + 12*k**2/7 - 95*k. Determine n so that v(n) = 0.
-3, -1, 4
Let s(v) be the first derivative of v**4/10 + 28*v**3/15 + 12*v**2 + 144*v/5 + 67. Let s(a) = 0. Calculate a.
-6, -2
Suppose 45*x - 43 = 8*x + 31. What is k in -160/7*k + 4/7*k**4 + 32/7*k**3 + 100/7 + 24/7*k**x = 0?
-5, 1
Let l = -8 + 17. Let y = 19 + l. Factor 7*a**2 - 7*a**4 + 3*a**2 - 27*a**3 + y*a**4 - 4*a**2.
3*a**2*(a - 1)*(7*a - 2)
Let u(t) be the third derivative of -2*t**7/1