+ 15 = 4. Let i be -1 + m - (-40)/(-25). Factor -18/5*w + 16/5*w**2 + i.
2*(w - 1)*(8*w - 1)/5
Let a be ((-7011)/(-114) - 63)/(12/(-32)). Factor -20/11*n - 1/11*n**2 + a.
-(n - 2)*(n + 22)/11
Suppose -3*g - 2*j - 79 = -8*g, 68 = 4*g - 4*j. Let s be 2 - g/(315/28). Factor 2/3 - s*v + 1/6*v**2.
(v - 2)**2/6
Let o(h) = 88*h**3 - 24*h**2 + 11*h + 25. Let p(n) = -21*n**3 + 6*n**2 - 3*n - 6. Let s(i) = -6*o(i) - 25*p(i). Factor s(r).
-3*r*(r - 1)*(r + 3)
Let q be ((-176)/36 - -9) + -4. Let z(x) be the second derivative of 2/27*x**3 - 13*x + 1/54*x**4 + 0 + q*x**2. Factor z(d).
2*(d + 1)**2/9
Suppose -39*z + 129 = 402. Let y be 2/z + 24776/2926. Factor 34/11*q + 12/11 - y*q**2.
-2*(5*q - 3)*(9*q + 2)/11
Let o = 48534 + -239178/5. Let g = o + -696. Factor 0 - g*r**2 + 0*r**3 + 4/5*r**4 - 8/5*r.
4*r*(r - 2)*(r + 1)**2/5
Let b = -174047/48 + 3626. Let x(o) be the third derivative of 1/18*o**3 + 10*o**2 + 0 + b*o**4 + 1/360*o**5 + 0*o. Factor x(y).
(y + 1)*(y + 2)/6
Let j(t) be the third derivative of -t**8/840 - t**7/140 + t**5/15 + 40*t**3/3 + 75*t**2. Let l(p) be the first derivative of j(p). Factor l(f).
-2*f*(f - 1)*(f + 2)**2
Determine y, given that 14/3*y**2 - 8 - 34/3*y = 0.
-4/7, 3
Let k(l) be the third derivative of -l**7/420 - 13*l**6/80 - 73*l**5/40 + 3151*l**4/48 - 529*l**3 - 5562*l**2. Factor k(g).
-(g - 4)*(g - 3)*(g + 23)**2/2
Let a(p) be the first derivative of -54*p**5/5 - 13*p**4/2 - 1649. Factor a(x).
-2*x**3*(27*x + 13)
Factor -524/3 + 174*s + 2/3*s**2.
2*(s - 1)*(s + 262)/3
Let o(l) be the first derivative of l**5/35 + 831*l**4/7 + 1227664*l**3/7 + 680125856*l**2/7 - 12338. Factor o(i).
i*(i + 1108)**3/7
Let b(q) = q**4 + q + 1. Let f(i) = -2*i**4 + 10*i**3 - 64*i**2 + 68*i - 4. Let y(a) = -4*b(a) - f(a). Factor y(n).
-2*n*(n - 2)**2*(n + 9)
Let v(a) be the second derivative of -a**6/120 - 11*a**5/80 + a**4/16 + 31*a**3/24 - 11*a**2/4 + 81*a + 4. Factor v(h).
-(h - 1)**2*(h + 2)*(h + 11)/4
Let f(u) be the third derivative of 0*u**4 - 14*u**2 + 0*u**5 + 0*u + 1/90*u**6 + 2*u**3 + 0. Let x(n) be the first derivative of f(n). Factor x(b).
4*b**2
Let i be (0 - -1)*11 - (102 - 97). Let u be ((-201)/268)/(i/(-32)). Factor -1 + 2*z**3 + 2/3*z**2 - 5/3*z + 1/3*z**u - 1/3*z**5.
-(z - 3)*(z - 1)*(z + 1)**3/3
Let m(t) be the first derivative of -t**6/900 + t**4/45 + 25*t**2 + 27. Let a(g) be the second derivative of m(g). Determine p so that a(p) = 0.
-2, 0, 2
Suppose 13*x - 2*k = 8*x + 104, -4*x = -18*k + 130. Factor -46/7*p - x*p**2 + 1014/7*p**3 - 2/7.
2*(3*p - 1)*(13*p + 1)**2/7
Let u(d) be the second derivative of -9*d**2 + 0 + 107*d + 1/42*d**4 + 62/21*d**3. Factor u(v).
2*(v - 1)*(v + 63)/7
Let s(w) be the first derivative of w**5/15 + 7*w**4/4 + 8*w**3 - 72*w**2 - 639. Factor s(r).
r*(r - 3)*(r + 12)**2/3
Let g = -24021/4 + 5976. Let z = 59/2 + g. Suppose 5/2*m + 25/4 + z*m**2 = 0. Calculate m.
-5
Let k(o) be the first derivative of -o**7/70 + o**6/40 + 29*o**2 - o - 50. Let r(i) be the second derivative of k(i). Factor r(b).
-3*b**3*(b - 1)
Let n(m) be the second derivative of -m**6/75 - 11*m**5/50 - m**4/10 + 9*m**3 - 5006*m. Suppose n(c) = 0. What is c?
-9, -5, 0, 3
Let q(i) be the second derivative of 2*i**7/21 - 44*i**6/3 + 668*i**5 - 17480*i**4/3 + 66560*i**3/3 - 43264*i**2 + 34*i. Suppose q(o) = 0. What is o?
2, 52
Let m(d) be the first derivative of -3*d**4/8 + 153*d**3/2 - 4446*d**2 + 8664*d - 4839. Solve m(n) = 0 for n.
1, 76
Let u(m) be the third derivative of 5*m**8/1008 - 2*m**7/63 - 23*m**6/72 + m**5/18 + 95*m**4/18 + 140*m**3/9 - 898*m**2. Determine n, given that u(n) = 0.
-2, -1, 2, 7
Suppose 875*a - 869*a = 18. Factor -a*j**2 - 6*j - 93 + 93 + 3*j.
-3*j*(j + 1)
Let b(y) be the second derivative of -y**6/255 + 117*y**5/85 - 3042*y**4/17 + 158184*y**3/17 - 994*y. Factor b(z).
-2*z*(z - 78)**3/17
What is j in -76/5*j - 2/5*j**2 + 32 = 0?
-40, 2
Let c(g) be the third derivative of -121/9*g**3 + 0*g - 1/180*g**6 + 0 - 143/36*g**4 - 23/90*g**5 + 59*g**2. Determine x so that c(x) = 0.
-11, -1
Suppose 0 = 2*u - 5*u. Let z = 1945 - 1942. Find q such that -3/4*q**4 + 0*q + u*q**z - 3/4 + 3/2*q**2 = 0.
-1, 1
Let o(q) be the first derivative of -26/21*q**3 - 8/7*q + 4*q**2 + 217. Factor o(v).
-2*(v - 2)*(13*v - 2)/7
Let s be -7 + (-1091 - (0 - -5)). Let n = 2207/2 + s. Find a such that 3/2*a + n*a**2 + 0 = 0.
-3, 0
Let l(w) be the second derivative of 2*w**6/15 + 249*w**5/5 - w**4/3 - 166*w**3 - 1356*w. Find k such that l(k) = 0.
-249, -1, 0, 1
Let i(o) = -41*o - 157. Let p be i(-8). Let y = 873/5 - p. Factor 28/5*g**3 + 2/5*g**5 + 4/5 + 32/5*g**2 + 12/5*g**4 + y*g.
2*(g + 1)**4*(g + 2)/5
Let t(o) be the third derivative of -5*o**8/168 + 11*o**7/105 + 3*o**6/10 - 7*o**5/15 - 13*o**4/12 + o**3 - 5*o**2 - 296*o - 1. Suppose t(i) = 0. What is i?
-1, 1/5, 1, 3
Factor 2/5*b**2 - 18/5*b + 36/5.
2*(b - 6)*(b - 3)/5
Let z(i) = i**3 - i**2 - i - 1. Let u(p) = 11*p**3 + 124*p**2 + 139*p + 28. Let d(c) = -u(c) - z(c). Factor d(s).
-3*(s + 1)*(s + 9)*(4*s + 1)
Let q = -9 - -12. Let t(d) = 5*d**3 + 17*d**2 - 28*d - 3. Let h(a) = 12*a - 55*a - 12*a + 10*a**3 - 5 + 35*a**2. Let l(n) = q*h(n) - 5*t(n). Factor l(b).
5*b*(b - 1)*(b + 5)
Factor 11*s**2 - 7*s**2 + 1523*s - 640 - 2159*s.
4*(s - 160)*(s + 1)
Let q be (-10)/14 + 0 + 4/(-14). Let g be (q + -13)/(14/((-14)/2)). Let -8*r**2 + g*r**2 - 8*r**4 + 4*r**5 + 9*r**2 - 4*r = 0. Calculate r.
-1, 0, 1
Suppose -112 = 25*j - 9*j. Let w(t) = 22*t**3 + 23*t**2 - 8*t - 23. Let z(a) = -10*a**3 - 11*a**2 + 4*a + 11. Let m(v) = j*z(v) - 3*w(v). Factor m(r).
4*(r - 1)*(r + 1)*(r + 2)
Suppose 127 - 49 = 5*z + 2*y, 3*y = -3*z + 45. Factor -944*h**4 + 4*h**3 - 955*h**4 - 16*h**2 + 1903*h**4 - z*h.
4*h*(h - 2)*(h + 1)*(h + 2)
Let y(g) be the first derivative of -12 - 11*g + 1/30*g**3 - 1/120*g**4 - 1/20*g**2. Let t(u) be the first derivative of y(u). Factor t(z).
-(z - 1)**2/10
Let i(v) be the first derivative of 2*v**3/45 - 109*v**2 + 3268*v/15 + 9793. Suppose i(b) = 0. What is b?
1, 1634
Let r be (-874)/(-5244) + (-4)/((-816)/62). Factor 2/17*h**2 + r*h - 10/17.
2*(h - 1)*(h + 5)/17
Suppose 2*p - 31 + 44 = 17. Let -2*n**4 - 26/3*n**3 - 28/3*n**p + 16/3 + 8/3*n = 0. What is n?
-2, -1, 2/3
Let v(j) be the third derivative of 1/1008*j**8 + 0 + 0*j**5 + 0*j**3 + 0*j + 3*j**2 + 0*j**4 - 1/210*j**7 + 0*j**6. Factor v(q).
q**4*(q - 3)/3
Suppose -9 = 10*p + 5*k - 29, 5*p + 4*k - 7 = 0. Suppose -2*m + 4*g = -20, 5*m + 3*g = 76 - 26. Factor -77/2*i**2 + 4 + 7*i - m*i**p.
-(i + 4)*(4*i + 1)*(5*i - 2)/2
Let q(g) = -124*g**2 - 9848*g - 4884. Let p(o) = -51*o**2 - 3939*o - 1953. Let b(d) = 12*p(d) - 5*q(d). Find u such that b(u) = 0.
-246, -1/2
Let q(f) be the second derivative of -f**6/90 - 2*f**5/15 + 2*f**4 + 8*f**3/3 - 3*f + 2. Let i(n) be the second derivative of q(n). Factor i(u).
-4*(u - 2)*(u + 6)
Let g(l) be the third derivative of -l**5/420 + 431*l**4/42 - 371522*l**3/21 + l**2 + 86*l - 1. Factor g(a).
-(a - 862)**2/7
Let j(n) be the second derivative of -n**4/3 + 34*n**3/3 + n**2 + n + 31. Let t be j(17). Solve -12/5*d**5 - 6*d**t - 15*d**3 + 12*d**4 + 24/5 + 12*d = 0 for d.
-1/2, 2
Suppose -4*t + 3*r - 961 = -1007, 4*t + 4*r = 88. Let a(q) be the second derivative of -9*q**2 + 0 + 1/6*q**4 + 8/3*q**3 - t*q. What is n in a(n) = 0?
-9, 1
Suppose 13 + 5 = 2*k. Solve -18*o**2 - k*o**2 + 32*o**2 + 5*o - 3*o**3 - 5*o**4 - 2*o**3 = 0.
-1, 0, 1
Let g(i) be the third derivative of i**7/105 - 53*i**6/60 + 857*i**5/30 - 3979*i**4/12 + 1058*i**3 + 786*i**2. Suppose g(o) = 0. What is o?
1, 6, 23
Let l(q) = 3*q**2 - 6*q - 8. Let k be l(5). Factor k*o**2 + 8 - 139*o**2 + 68*o**2 - 26*o.
-2*(o + 1)*(17*o - 4)
Let t be (486/(-405))/((6/(-20))/1). Let 5*l**5 + t + l**2 + 7*l**3 - 5*l**4 + 0*l**5 - 2*l - 4*l**5 - 6*l = 0. Calculate l.
-1, 1, 2
Let b(f) = 6*f**2 + 6*f + 1. Let x(k) = 7*k**2 + 1211*k + 1. Let p(z) = b(z) - x(z). Let p(o) = 0. What is o?
-1205, 0
Let k(b) = -2*b**2 - 9*b - 1. Let h(t) = -36*t**2 - 620*t + 1676. Let q(j) = h(j) - 20*k(j). Factor q(o).
4*(o - 106)*(o - 4)
Suppose 61*m - 48*m = -8944. Let z = m + 3443/5. Factor 3/5*d - z*d**2 + 3/5 - 3/5*d**3.
-3*(d - 1)*(d + 1)**2/5
Let d = 18772 + -12145. What is q in 3*q**2 + 128*q + 151*q + 3*q + d = 0?
-47
Let j(y) be the first derivative of -2*y**5/55 + 14*y*