v**3 - 10110*v**2 + 6834372*v - 1537734369. Let a(q) = -3*b(q) - 10*s(q). Factor a(n).
-5*(n - 675)**3
Let l = -138 - -132. Let h(d) = -16*d**3 - 5*d**2 + 10*d + 2. Let f(q) = -33*q**3 - 11*q**2 + 19*q + 4. Let b(i) = l*f(i) + 14*h(i). Solve b(g) = 0.
-1, -2/13, 1
Suppose 34*u - 98*u = 0. Let t(v) be the third derivative of 0 + 14*v**2 + u*v + 0*v**3 + 1/48*v**4 - 1/240*v**5. Factor t(h).
-h*(h - 2)/4
Let f = 448 - 160. Suppose 7*l**2 + 2*l - 293*l**3 + 3*l**4 + f*l**3 - 7*l**4 = 0. Calculate l.
-2, -1/4, 0, 1
Let y(i) = 3*i**2 + 6*i + 2. Let r be (9/(225/(-10)))/(2/10). Let s be y(r). Factor -15*o**3 + 8*o - 5*o**4 - 7*o**2 + 12*o**s + 2*o + 5*o**5.
5*o*(o - 2)*(o - 1)*(o + 1)**2
Factor -325851910 + 3725664*u - 1745*u**2 + 3958*u**2 + 2515*u**2 + 279040497 + 1025419157 + 2*u**3.
2*(u + 788)**3
Factor 96/7*l + 380/7 + 4/7*l**2.
4*(l + 5)*(l + 19)/7
Let v be (27 - 9/(5 - 2))*1. Let z be (30/(-5))/v - 63/(-60). Let 6/5*n + 2/5*n**5 - 8/5*n**3 - z + 4/5*n**2 + 0*n**4 = 0. What is n?
-2, -1, 1
Let z(p) be the first derivative of -4*p**5/55 - 19*p**4/22 + 8*p**3/3 - 23*p**2/11 - 1028. Let z(x) = 0. Calculate x.
-23/2, 0, 1
Let r(w) = 104*w**2 + 1913*w - 659. Let u(j) = -34*j**2 - 638*j + 220. Let y(q) = -4*r(q) - 11*u(q). Factor y(o).
-2*(3*o - 1)*(7*o + 108)
Let u(a) = 952*a**2 - 3668*a - 3620. Let b(y) = -19*y**2 - 1. Let o(i) = -100*b(i) - 2*u(i). Factor o(d).
-4*(d - 1835)*(d + 1)
Let b(n) be the third derivative of 1/180*n**4 + 1/150*n**5 - 9*n**2 + 1/1575*n**7 + 0 + 1/300*n**6 + 0*n**3 + 3*n. Solve b(k) = 0.
-1, 0
Let v be 3 + -1 + 21 + (-1978)/86. Solve v + 6/13*j**2 + 0*j - 2/13*j**4 - 4/13*j**3 = 0 for j.
-3, 0, 1
Let l(x) be the second derivative of 0*x**2 - 1/60*x**4 + 0 - 16*x + 23/30*x**3. Factor l(c).
-c*(c - 23)/5
Let m(f) = -6*f**2 + 51*f + 1332. Let z(u) = -11*u**2 + 100*u + 2670. Let y(b) = -5*m(b) + 3*z(b). Let y(n) = 0. What is n?
-15, 30
Let v(u) be the third derivative of 3*u**6/280 - u**5/70 - 27*u**4/56 - 11*u**3/7 + 1568*u**2. Factor v(f).
3*(f + 1)*(f + 2)*(3*f - 11)/7
Factor 94531131 + 431649*g + 1/3*g**3 + 657*g**2.
(g + 657)**3/3
Let u(r) be the first derivative of -116*r**5/15 + 14*r**4/3 + 20*r**3/3 + 479. Factor u(z).
-4*z**2*(z - 1)*(29*z + 15)/3
Let k be ((-1)/(-3))/(1/9*3). Let g be (-3 + k)*((-10)/4 + 0). Suppose 22*c**5 + 4*c**4 - 27*c**g - c**3 - 2*c**2 + 4*c**4 = 0. What is c?
-2/5, 0, 1
Let h(p) be the first derivative of 2*p**5/35 + 37*p**4/14 + 240*p**3/7 + 324*p**2/7 - 2927. Suppose h(d) = 0. Calculate d.
-18, -1, 0
Let d(t) = -7*t**3 + 697*t**2 + 2681*t + 1953. Let w(r) = 5*r**3 - 695*r**2 - 2680*r - 1960. Let v(i) = -5*d(i) - 6*w(i). Solve v(z) = 0 for z.
-133, -3, -1
Let i(x) be the first derivative of 3*x**5/5 - 129*x**4/2 + 251*x**3 - 249*x**2 - 337. Factor i(b).
3*b*(b - 83)*(b - 2)*(b - 1)
Suppose 0 = -5*q - 36 - 54. Let l = -13 - q. Factor -16*j + 24*j**4 - 52*j**3 + 3 - 3 - 4*j**l + 48*j**2.
-4*j*(j - 2)**2*(j - 1)**2
Let i(g) be the first derivative of g**4/24 + 11*g**3 + 131*g**2/4 + 98*g/3 - 482. Factor i(v).
(v + 1)**2*(v + 196)/6
Let f(q) be the third derivative of q**6/360 + 7*q**5/180 - q**4/4 + 250*q**2. Factor f(o).
o*(o - 2)*(o + 9)/3
Let x(c) = c + 26. Let j be x(-17). Find z, given that 7*z**5 + 15*z**3 + 0*z**3 + 4*z**2 - j*z**3 - 3*z**5 + 6*z**3 + 12*z**4 = 0.
-1, 0
Let n(u) = -6*u - 16. Let b be n(-3). Factor -2*h**4 + 12*h**2 - 4615*h**3 - 2*h + 4617*h**3 + b*h.
-2*h**2*(h - 3)*(h + 2)
Let q(c) be the third derivative of 2/3*c**4 + 10/3*c**3 + 0*c - c**2 - 1/15*c**5 - 18. Find d, given that q(d) = 0.
-1, 5
Let p be (-6)/(-4)*-2*(-17 + 16). Let s(c) be the second derivative of -17*c - 1/66*c**4 + 0*c**p + 0 + 0*c**2. Factor s(u).
-2*u**2/11
Let -32/7*l**3 + 550/7 + 492/7*l**2 + 1072/7*l - 2/7*l**4 = 0. Calculate l.
-25, -1, 11
Let k(s) be the first derivative of 32*s**2 - 4/3*s**3 - 71 - 112*s. Factor k(l).
-4*(l - 14)*(l - 2)
Let x be 8 + -16 - (4 - (-25)/(-2)). Let w(o) be the first derivative of 3*o + x*o**3 + 9/4*o**2 - 9. Determine t so that w(t) = 0.
-2, -1
Let o be (-7626)/(-15903) - 12/342. Factor -2/9*l**2 - 2/9 + o*l.
-2*(l - 1)**2/9
Let j(f) be the third derivative of -f**5/570 + 135*f**4/38 - 54675*f**3/19 - f**2 + 864. Let j(d) = 0. What is d?
405
Let r(l) be the first derivative of 3*l**5/5 - 27*l**4 + 379*l**3 - 1296*l**2 - 3840*l + 3860. Find a such that r(a) = 0.
-1, 5, 16
Let w = 2081 + -2077. Let y(c) be the first derivative of -3/40*c**5 + 9/32*c**w + 0*c - 7 + 0*c**3 - 3/4*c**2. Factor y(a).
-3*a*(a - 2)**2*(a + 1)/8
Solve -86*s**2 + 137*s**2 - 2226*s + 399307 + 13616 - 48*s**2 = 0.
371
Let 2/9*g**2 - 592/9 - 590/9*g = 0. Calculate g.
-1, 296
Suppose 12 - 9 = c. Factor c*j + 19 - 26*j + 53 - j + 2*j**2.
2*(j - 6)**2
Let g(v) be the first derivative of 3*v**4/4 - 195*v**3 + 28809*v**2/2 - 28227*v - 2400. Suppose g(q) = 0. What is q?
1, 97
Solve -48/5*i + 7*i**2 + 14/5*i**3 - 1/5*i**4 + 0 = 0.
-3, 0, 1, 16
Let x be 4 - (-12)/20 - 6/(-15). Suppose 0 = -2*h - s + 7 + 2, -x*h = 5*s - 35. Find l, given that 36*l - 64*l + 2 + 3*l**h + 1 + 34*l = 0.
-1
Let j = -35 - -20. Let f = 18 + j. What is l in -15*l**5 - 3 + 15*l**3 + 4*l**4 + l**4 + f - 5*l**2 = 0?
-1, 0, 1/3, 1
Suppose -40 - 34 = -37*p. Suppose 70238*v + 1992*v + 231*v**4 + 46875 + 3*v**5 + 6078*v**3 + 58350*v**p + 27145*v = 0. What is v?
-25, -1
Let z(m) be the first derivative of 121 + 0*m + 0*m**2 + 1/10*m**4 - 1/50*m**5 - 1/10*m**3. Factor z(v).
-v**2*(v - 3)*(v - 1)/10
Factor -324*z - 676*z**2 - 656 - 671*z**2 + 1349*z**2.
2*(z - 164)*(z + 2)
What is m in 1/2*m**2 + 322*m + 51842 = 0?
-322
Let c(w) be the second derivative of 0*w**2 - 166*w + 0 - 1/20*w**4 + 23/10*w**3. Suppose c(l) = 0. Calculate l.
0, 23
Determine g, given that g**3 + 0 + 279/2*g + 559/2*g**2 = 0.
-279, -1/2, 0
Suppose -44*n - 44 = -78 - 98. Let x(i) be the second derivative of 0*i**n - 1/21*i**7 + 1/10*i**5 + 0*i**2 + 0*i**4 + 0 + 0*i**6 + 15*i. Factor x(b).
-2*b**3*(b - 1)*(b + 1)
Let p(o) be the second derivative of -o**4/66 + 2*o**3/3 + 23*o**2/11 + 15*o + 2. Factor p(d).
-2*(d - 23)*(d + 1)/11
Suppose 20*a - 328445 = -11*a. Factor -4*c**3 - 29*c + 10613 + c**3 + 12*c**2 + 2*c**3 - a.
-(c - 9)*(c - 2)*(c - 1)
Let b(w) be the second derivative of -w**4/18 + 8*w**3/9 + 11*w**2 + 2922*w. Factor b(k).
-2*(k - 11)*(k + 3)/3
Let c be (-5)/((22218/92)/(-69)). What is h in 1/7*h**3 - c + 3/7*h + 6/7*h**2 = 0?
-5, -2, 1
Suppose 5*b = 5*d - 20, 0 = -b - 3*b + 4. Let v(y) be the third derivative of 1/60*y**d - 1/120*y**6 + 6*y**2 + 0*y - 1/6*y**3 + 0 + 1/24*y**4. Factor v(i).
-(i - 1)**2*(i + 1)
Let x(g) be the first derivative of -g**4/16 - 31*g**3/6 - 59*g**2/8 + 61*g/2 - 671. Factor x(m).
-(m - 1)*(m + 2)*(m + 61)/4
Factor -54 - 68*x - 9 - 273 - 9*x**2 + 13*x**2.
4*(x - 21)*(x + 4)
Let m be ((-40)/18 - -2) + (218491/4851 - 44). Find b, given that 5/11*b**3 + 39/11*b + 29/11*b**2 - m = 0.
-3, 1/5
Let t(i) = i**3 - 8*i**2 - 20*i. Let r be t(10). Factor r*g**2 - 1335*g - 46 + 1314*g + g**2.
(g - 23)*(g + 2)
Let o(l) be the third derivative of 2 + 1/75*l**5 - 26/5*l**3 + 0*l + 109*l**2 + 19/15*l**4. Factor o(z).
4*(z - 1)*(z + 39)/5
Solve 2/9*m**5 - 214/9*m - 24*m**2 + 212/9*m**3 + 0 + 24*m**4 = 0 for m.
-107, -1, 0, 1
Suppose 0 + 4/5*p**2 + 16/5*p = 0. Calculate p.
-4, 0
Let v be -28*(-7)/590 + 10/(-25). Let y = v - -154/531. Let -y*b**5 - 4/9 - 2/3*b + 4/9*b**2 + 0*b**4 + 8/9*b**3 = 0. Calculate b.
-1, 1, 2
Let z be 2*-1 + (-4976)/5136 - -3. Let k = z + 8647/642. Factor 45/2*o**3 + 3/2*o**5 - k*o**2 + 0 + 0*o - 21/2*o**4.
3*o**2*(o - 3)**2*(o - 1)/2
Suppose 17*b**4 + 40*b**4 + 28*b**3 + 64*b - 49*b**4 - 188*b**2 + 88*b**3 = 0. Calculate b.
-16, 0, 1/2, 1
Suppose 210*y + 33 = 213*y + 3*i, -i + 19 = 2*y. Suppose 4*b + 2*w = 16, b + 5*w - 4 = 3*b. Solve -10*r**3 - y + b + 543*r + 5*r**4 - 533*r = 0.
-1, 1
Factor -9 - 15/4*g - 1/4*g**2.
-(g + 3)*(g + 12)/4
Let w(v) be the second derivative of 0 - 5/42*v**7 - 2/3*v**6 + 11/4*v**5 - 5/2*v**4 - 13*v + 0*v**2 + 0*v**3. Factor w(r).
-5*r**2*(r - 1)**2*(r + 6)
Let t(x) be the third derivative of 5/336*x**8 - 1/8*x**6 - 10 + 1/42*x**7 - 3*x**2 - 5/12*x**4 + 0*x**3 + 0*x - 5/12*x**5. Solve t(v) = 0 for v.
-1, 0, 2
Solve 412/7*h**3 - 5/7*h**4 - 8144/7*h**2 - 2064*h + 1008 = 0 for h.
-2, 2/5, 42
Let n b