 the first derivative of f**4 + 2724*f**3 + 2782566*f**2 + 1263284964*f - 761. Factor a(u).
4*(u + 681)**3
Factor 1/2*p**5 - 17*p**2 - 4*p**4 - 3 + 12*p**3 + 23/2*p.
(p - 3)*(p - 2)*(p - 1)**3/2
Let i(l) be the first derivative of -2*l**5/55 + 7*l**4/22 + 38*l**3/33 - 7*l**2/11 - 36*l/11 - 240. Solve i(v) = 0.
-2, -1, 1, 9
Let d = 1460/133 + 275/399. Factor 5/3*h**5 + 17/3*h**2 + d*h**3 + 23/3*h**4 - 4/3*h - 4/3.
(h + 1)**3*(h + 2)*(5*h - 2)/3
Let v be ((-10740)/43855)/((-4)/378). Determine z, given that -380/7*z**2 + 396/7*z**4 - 16/7 - 10/7*z**3 - 152/7*z + v*z**5 = 0.
-2, -1, -2/9, 1
Suppose -18 = -w - 148454*z + 148452*z, 9*w - z = 29. Suppose -c**w + 1/3*c**5 - 11/3*c**3 + c**2 + 0 + 10/3*c = 0. Calculate c.
-2, -1, 0, 1, 5
Factor 34/5*d - 2/5*d**2 - 104/5.
-2*(d - 13)*(d - 4)/5
Let g(h) be the second derivative of h**6/30 + 12*h**5/5 + 791*h**4/12 + 858*h**3 + 5670*h**2 - 9111*h. Factor g(r).
(r + 5)*(r + 7)*(r + 18)**2
Let j(g) be the third derivative of 0 + 7*g**3 - 3*g**2 - 4/35*g**7 - 37/8*g**4 + 1/112*g**8 - 8*g + 13/10*g**5 + 1/10*g**6. Factor j(f).
3*(f - 7)*(f - 1)**3*(f + 2)
Suppose 18 = 6*j + 3*j. Let l be -2 + (0/j)/4. Let k(p) = 7*p**3 + 11*p**2 + 4*p - 2. Let r(g) = -g**2 - g + 1. Let v(o) = l*r(o) - k(o). Factor v(s).
-s*(s + 1)*(7*s + 2)
Suppose 4132*j = 4128*j - 2*x + 24, -5*j = -5*x + 30. Let a(n) be the first derivative of 33 - 1/2*n**3 + 9*n - 3/4*n**j. Factor a(c).
-3*(c - 2)*(c + 3)/2
Let j be 20/70*-7*(-6)/4. What is c in -47 - 3032*c + j*c**2 - 13 + 3035*c = 0?
-5, 4
Solve 8/5*l**3 + 0 - 32/5*l**2 + 4*l**4 + 0*l + 4/5*l**5 = 0.
-4, -2, 0, 1
Factor -59354080*p**2 + 1507597*p + 1088418*p + 8412018*p**4 - 353551*p - 28224 + 16565610*p**4 + 297754*p**5 + 522407856*p**3.
2*(p + 42)**2*(53*p - 2)**3
Let w be ((-3)/21)/((-210)/245 + (-2)/(-7)). Let w*v**2 - 11/4 + 5/2*v = 0. What is v?
-11, 1
Let -2578/5*o**2 - 2582/5*o - 4/5 = 0. Calculate o.
-1, -2/1289
Let c(j) = 219*j**3 - 421*j**2 + 216*j - 4. Let q(u) = 10*u**3 + u - 1. Let f(w) = 4*c(w) - 4*q(w). Factor f(b).
4*(b - 1)**2*(209*b - 3)
Factor 0 - 512*g - 2/3*g**2.
-2*g*(g + 768)/3
Factor -1/8*i**2 - 29/4*i - 69.
-(i + 12)*(i + 46)/8
Let a(v) be the second derivative of v**6/15 - 24*v**5/5 - 25*v**4/3 + 16*v**3 + 49*v**2 + 25*v + 35. Find q, given that a(q) = 0.
-1, 1, 49
Let m be 12/((-30)/(-8)*8/(-20)). Let u be (-35)/(-20) - (-2)/m. Let 0*g + 3/8*g**3 - u*g**4 - 15/8*g**5 + 0 + 0*g**2 = 0. Calculate g.
-1, 0, 1/5
Let v(f) be the third derivative of f**7/4200 + 7*f**6/300 + 27*f**5/200 + 25*f**4/4 - 2*f**2 + 11*f. Let a(n) be the second derivative of v(n). Solve a(g) = 0.
-27, -1
Let v(l) be the first derivative of -11 + 2*l**2 - 1/15*l**5 + 0*l + 1/6*l**4 + 0*l**3. Let y(c) be the second derivative of v(c). Let y(i) = 0. What is i?
0, 1
Suppose -152 = -3*q - 16*q. Factor -10*b**2 + 11*b**2 + 110*b - 24 - 21*b**2 - 38*b**2 + q*b**3.
2*(b - 4)*(b - 3)*(4*b - 1)
Solve 72/7*j - 405/7 - 3/7*j**2 = 0.
9, 15
Factor 25 - 156*x**2 + 95 - 51*x**2 + 337*x**2 + 460*x - 35*x**3.
-5*(x - 6)*(x + 2)*(7*x + 2)
Let -1124*r - 1048*r + 1864*r + 106*r**2 - 2*r**3 + 3750 - 1242*r = 0. What is r?
3, 25
Let g(n) be the first derivative of 3*n**5/20 - 5*n**4/4 + 89*n - 15. Let w(j) be the first derivative of g(j). Let w(r) = 0. What is r?
0, 5
Suppose -6193 + 6348 = 5907*t - 2030*t - 15353. Factor 0 - 13/4*m**3 - m + t*m**2 + 3/4*m**4.
m*(m - 2)**2*(3*m - 1)/4
Let t(h) be the third derivative of h**7/210 + h**6/40 - h**5/20 - 11*h**4/24 - h**3 + 994*h**2 - 2*h - 3. Find v, given that t(v) = 0.
-3, -1, 2
Let a(z) be the third derivative of z**7/70 + 27*z**6/10 - 117*z**5/20 - 215*z**4/2 + 654*z**3 + 12672*z**2. Factor a(j).
3*(j - 2)**2*(j + 3)*(j + 109)
Let y(c) = 3*c + 21. Let q be (18/8)/((-72)/192). Let r be y(q). Factor 3/2*s**5 - 33/2*s + 21*s**2 - 3/2*s**4 + 9/2 - 9*s**r.
3*(s - 1)**4*(s + 3)/2
Let m = 63169/347248 - 3/31568. Suppose -12/11 - m*z**2 + 10/11*z = 0. What is z?
2, 3
Let v = 1158547/3 + -386182. Determine i so that v*i**4 + 1/3*i**2 + i**3 - 2/3 - i = 0.
-2, -1, 1
Factor 113 + 72*h**3 + 411*h + 78*h**3 - 165*h**3 - 11 - 498*h**2.
-3*(h - 1)*(h + 34)*(5*h + 1)
Factor -3/7*i**2 + 2712/7*i - 612912/7.
-3*(i - 452)**2/7
Let f(q) be the first derivative of 25/4*q**2 - 5/6*q**3 - 5/8*q**4 - 51 - 15/2*q. Let f(k) = 0. Calculate k.
-3, 1
Suppose -225*p - 60 + 48745*p**2 - 32 - 132 - 48746*p**2 = 0. What is p?
-224, -1
Let a = 40997/61464 - 7/20488. Factor 2/15*j**2 + a - 4/5*j.
2*(j - 5)*(j - 1)/15
Let z(p) be the first derivative of -p**5 + 5*p**4/2 + 20*p**3/3 - 20*p**2 + 3107. Solve z(h) = 0 for h.
-2, 0, 2
Let n(k) be the first derivative of 9/2*k - 27/32*k**4 - 165 + 43/8*k**3 + 12*k**2. Factor n(a).
-3*(a - 6)*(a + 1)*(9*a + 2)/8
Let g(q) be the third derivative of q**7/210 + 79*q**6/120 + 56*q**5/15 - 38*q**4/3 - 11*q**2 + 202*q - 1. Factor g(o).
o*(o - 1)*(o + 4)*(o + 76)
Let f(m) be the second derivative of -m**5/24 + 5*m**4/4 + 65*m**3/12 - 11*m**2/2 + 64*m. Let z(t) be the first derivative of f(t). Factor z(j).
-5*(j - 13)*(j + 1)/2
Let v = 1471 + -1471. Let r(j) be the second derivative of 0*j**3 + 33*j + 0*j**4 + 1/3*j**6 + v - 1/7*j**7 + 0*j**2 - 1/5*j**5. Factor r(i).
-2*i**3*(i - 1)*(3*i - 2)
Find n such that 9028*n**4 - 42*n**2 - 113*n**2 - 39*n + 294*n**3 - 89*n**3 - 6*n - 9078*n**4 + 45 = 0.
-1/2, 3/5, 1, 3
Let k be 42/(-4)*55/(3740/(-136)). Factor 13*z - 17/7*z**2 + 1/7*z**3 - k.
(z - 7)**2*(z - 3)/7
Factor 3683*d**3 - 1870*d**3 + 15738*d**2 - 1815*d**3 - 41280774*d + 36093156734.
-2*(d - 2623)**3
Let g be 4/(-1) - (20/(-2) - 10). Let d(u) be the second derivative of 0*u**3 + 1/135*u**6 + g*u + 1/45*u**5 + 0 + 0*u**2 + 1/54*u**4. Factor d(t).
2*t**2*(t + 1)**2/9
Suppose -137*m - 3648 = -907*m - 1054*m. Factor -6*o - 45/4 - 3/4*o**m.
-3*(o + 3)*(o + 5)/4
Let j = 4 + -1. Suppose -5*z - 16 = w, z - 2*z = w. Determine t, given that 0*t - 9*t**3 + w*t**j + 20*t = 0.
-2, 0, 2
Find d such that -280 + 64*d**3 - 59*d**3 - 6550*d + 6850*d - 90*d**2 = 0.
2, 14
Let f = 31 - 28. Let t(k) = -2*k**3 + 72*k**2 + k - 33. Let q be t(36). Factor 8*r**5 - 6 + 6*r**2 + 0*r**5 + 9*r**f - 9*r + q*r**3 - 11*r**5.
-3*(r - 2)*(r - 1)*(r + 1)**3
Let d = 107 + -113. Let x(t) = t**2 - t - 2. Let h(o) = o**2 - 13*o - 14. Let m(j) = d*x(j) + 2*h(j). Solve m(g) = 0.
-4, -1
Let k(a) = -8*a + 4*a**2 - 1 - 2 - 9 + a**3. Let o be k(-5). Solve -20*q - 3*q**3 - 2*q**4 + q**3 - o*q**4 + 17*q**3 = 0 for q.
-1, 0, 2
Let w(v) = 15*v**2 - 38*v + 14. Let l(h) = -9*h**2 + 26*h - 9. Let z(t) = -8*l(t) - 5*w(t). Let a be z(-6). Suppose 1/3*y**a + 10/3 - 11/3*y = 0. What is y?
1, 10
Let f(o) = -16*o**2 - o - 1. Let x(k) = 295*k**2 - 220*k + 120. Let p(l) = -20*f(l) - x(l). Let p(g) = 0. What is g?
-10, 2/5
Factor -20 - 6*c + 72*c**2 + 9 - 73*c**2 - 85 - 44*c.
-(c + 2)*(c + 48)
Let h(s) be the third derivative of -s**8/728 - 388*s**7/1365 + 89*s**6/260 + 152*s**5/65 + 5*s**4/3 - 2535*s**2. Find r, given that h(r) = 0.
-130, -1, -1/3, 0, 2
Determine c so that 36*c**4 - 734/5*c**3 + 252/5 - 3736/5*c**2 + 342/5*c = 0.
-3, -2/9, 3/10, 7
Let f = -36/42545 - -170576/467995. Let -74/11*a**2 + 0 - f*a + 38/11*a**3 = 0. Calculate a.
-1/19, 0, 2
Suppose 8*z = 3*k - 8, 971*z - 2*k + 26 = 976*z. Solve -60*d - 3/4*d**4 - 16 - 129/4*d**z + 11*d**3 = 0.
-1, -1/3, 8
Suppose 9*q = 14 + 4. Let j be (4/6)/((10/3225)/2). Factor -j + q*d**2 + 430 - 4*d**2.
-2*d**2
Solve 587/2*a**2 + 49 - 1567/8*a + 97/2*a**4 + 1/8*a**5 - 781/4*a**3 = 0.
-392, 1
Suppose -288 + 296*f - 4/3*f**3 - 20/3*f**2 = 0. What is f?
-18, 1, 12
Let o(a) = a**2 + 2. Let m(v) = 3*v**2 - 43*v - 34. Let j(r) = -3*m(r) + 12*o(r). Solve j(c) = 0.
-42, -1
Let y be 5473/117 + (-4)/(-18). Find q such that y*q**2 - 23*q**2 - 3*q**3 - 24*q + 12 - 3*q**2 - 6*q**2 = 0.
1, 2
Factor 69/2*y**2 + 445/2*y + 375/2 - 1/2*y**3.
-(y - 75)*(y + 1)*(y + 5)/2
Find c such that 1/6*c**3 + 4 + 7/3*c - 3/2*c**2 = 0.
-1, 4, 6
Let w be (1 + 6 - 5) + 4796/(-2400). Let f(n) be the third derivative of 1/40*n**4 + 0*n + n**2 - 3/20*n**3 + 0 - w*n**5. Suppose f(z) = 0. What is z?
3
Let x(w) be the third derivative of w**7/735 + w**6/15 + 47*w**5/210 - 34*w**4/21 - 52*w**3/7 + 3866*w**2. What is m in x(m) = 0?
-26, -3, -1, 2
Suppose -156*i = -54*i - 408. Let r(n) be the third derivative o