 2/9 + 4/9*n**3 - p*n**5.
-2*(n - 1)**3*(n + 1)**2/9
Suppose 0 = 4*j + 2*r + 4, j = -3*r + 2*r - 2. Let t be (0 + j)/((5 + -2)/3). Factor -2*n**2 + 2 + t - 3 + 5 + 2*n.
-2*(n - 2)*(n + 1)
Let p be 105/3 + (1 - 1). Let u be p/5 - 1 - 1. Factor o**2 + o - o**2 + 2*o**2 - u*o + 2.
2*(o - 1)**2
Let o(d) be the first derivative of -3*d**5/10 + 69*d**4/8 + 54*d**3 + 853. Factor o(c).
-3*c**2*(c - 27)*(c + 4)/2
Let q be 2338/(-1503) + (-70)/(-45). Factor q + 1/6*u**2 + 0*u.
u**2/6
Let n(s) be the second derivative of -s**6/600 - 3*s**5/100 - s**4/8 - 7*s**3/30 + 47*s**2/2 - 188*s. Let g(w) be the first derivative of n(w). Factor g(j).
-(j + 1)**2*(j + 7)/5
Suppose -294 = -5*v + 2*l, 5*l - 7 = 8. What is f in -127 - 9144*f**2 - v + 2832*f - 53 - 1944*f**3 + 32805*f**4 + 6561*f**5 = 0?
-5, -2/3, 2/9
Let q = -908 - -873. Let n be ((-245)/q)/((-21)/(-6)). Solve -1/4*y + 0 - 1/8*y**n = 0.
-2, 0
Let u(z) be the second derivative of 11*z**4/12 - 628*z**3/9 + 38*z**2/3 + 217*z - 2. Factor u(f).
(f - 38)*(33*f - 2)/3
Let x be -16 + 1610/98 + 32/7. Let n(h) be the third derivative of -1/1080*h**6 + 8/27*h**3 - 1/27*h**4 + 0 - 7/540*h**x - 16*h**2 + 0*h. Factor n(i).
-(i - 1)*(i + 4)**2/9
Let u(t) = -2*t**2 - 3939*t + 11839. Let w be u(3). Factor 0*m + w*m**3 + 5/3*m**4 + 4/3*m**2 + 0.
m**2*(m + 2)*(5*m + 2)/3
Let d(m) = -8*m**2 - 1217*m - 15. Let p(j) = -7*j**2 - 1228*j - 12. Let b(i) = -4*d(i) + 5*p(i). Factor b(y).
-3*y*(y + 424)
Suppose -2*h + 4*g + 52 = 0, h - g + 7 = 30. Let a be (18/8)/(15/h). Factor -356*b**2 + 356*b**2 - 3*b**a.
-3*b**3
Suppose -3*p = 5*b - 9, -b - 358 + 367 = -3*p. Let n(v) be the second derivative of -1/42*v**4 + 48*v - 4/21*v**b + 5/7*v**2 + 0. Factor n(s).
-2*(s - 1)*(s + 5)/7
Let o(q) be the second derivative of -q**5/180 - 7*q**4/12 + 98*q**3/27 - 22*q**2/3 + 1041*q. Factor o(z).
-(z - 2)*(z - 1)*(z + 66)/9
Let l = -72 + 76. Let o(f) be the first derivative of -16*f + 0 - 2*f**3 - f**l - 2*f**3 + 8*f**3 - 22. Determine d so that o(d) = 0.
-1, 2
Let r(p) be the third derivative of -1 - 13/5*p**3 + 0*p + 7*p**2 - 3/8*p**4 - 1/100*p**5. Determine f, given that r(f) = 0.
-13, -2
Factor 844/7*y - 272/7*y**2 - 4/7*y**3 - 568/7.
-4*(y - 2)*(y - 1)*(y + 71)/7
Factor 1/2*p**2 + 265/2*p + 393.
(p + 3)*(p + 262)/2
Let o(x) be the second derivative of x**7/840 - 3*x**6/80 + 7*x**5/20 + x**4/12 - 4*x**3 + x + 47. Let f(j) be the third derivative of o(j). Factor f(q).
3*(q - 7)*(q - 2)
Let j be 244/(-2562) - 104/(-210). Let l(c) be the first derivative of 4/15*c**3 + 26 + 1/5*c**5 - j*c**4 + 0*c + 0*c**2 - 1/30*c**6. Factor l(x).
-x**2*(x - 2)**2*(x - 1)/5
Let p be 5/2*-1*(1 - -19). Let y be -9 + p/(-5) + (-1 - -2). Determine d so that -69/2*d**y + 21/2*d**3 - 12*d + 3/2*d**5 + 24 + 21/2*d**4 = 0.
-4, -1, 1
Let u(p) be the second derivative of -94*p + 1/108*p**4 + 10/27*p**3 + 0 + 50/9*p**2. Factor u(m).
(m + 10)**2/9
Let h(r) = -3*r + 35. Let u be h(15). Let l be 54/(-15) - u*(-8)/(-20). Determine i, given that 8/5 + 4/5*i - l*i**2 - 1/5*i**3 = 0.
-2, 2
Let k(d) be the third derivative of -d**6/80 - 41*d**5/20 + d**4/4 + 82*d**3 - 3405*d**2. Suppose k(q) = 0. What is q?
-82, -2, 2
Suppose 17 + 63 = 5*z. Suppose 3*r = 4*v + 5, -4*v - 2*r - 6 = -z. Find l such that 1 - 4*l - 3*l**4 + 2 - v + l**4 + 4*l**3 = 0.
-1, 1
Suppose -11*i - 8786 = 509. Let d = 5917/7 + i. Determine o so that 2/7*o**2 - 4/7 - d*o = 0.
-1, 2
Let j(i) = -9*i**2 - 2*i + 47*i - 2*i - 9 + 13*i. Let a be j(6). Factor -1/5*t**a + 3/5*t**2 + 0 - 2/5*t.
-t*(t - 2)*(t - 1)/5
Let c(o) be the first derivative of -28*o**3/3 + 332*o**2 + 192*o - 960. Find g, given that c(g) = 0.
-2/7, 24
Factor -179*m + 19 - 4*m**2 + 143*m + 25 - 4.
-4*(m - 1)*(m + 10)
Suppose -7 + 17 = -5*y, 4*y + 38 = 5*s + 10. Factor 1/3*f**3 + s*f**2 + 16*f + 64/3.
(f + 4)**3/3
Let j(x) be the first derivative of -2*x**3/9 - 94*x**2/3 + 506. Find k such that j(k) = 0.
-94, 0
Let m(o) be the second derivative of -o**7/105 - 919*o**6/75 + 3193*o. Let m(s) = 0. Calculate s.
-919, 0
Let x(k) be the second derivative of k**4/30 - 1584*k**3/5 + 5645376*k**2/5 - 3011*k. Factor x(o).
2*(o - 2376)**2/5
Let i be (1 - 9)/(-5 + 3). Suppose 4*h - 12 = -3*o, -2*o - 2*h + 10 - i = 0. Factor 11*q**4 - 4 + 2*q**3 - 17*q**2 - 22*q + o*q**4 - 7*q**2 - 3*q**4.
2*(q - 2)*(q + 1)**2*(4*q + 1)
Let r(w) be the third derivative of -w**5/30 - 161*w**4/6 - 25921*w**3/3 - w**2 - 102. Factor r(b).
-2*(b + 161)**2
Let o = 293 + -89. Factor -90*g**2 + o*g + g**3 - 296*g + g**3.
2*g*(g - 46)*(g + 1)
Let k = 2161/8 - 2155/8. Let c(j) be the first derivative of -33 - 16/9*j**3 - k*j**4 - 5/6*j**2 + 2/3*j. Determine i, given that c(i) = 0.
-1, 2/9
Factor -4481*q + 1071*q + 1048*q + 1127*q + 1122*q + q**2.
q*(q - 113)
Suppose -g = 5*j + 11, 9*j + 12 = 5*j. Factor g*z**2 - 2*z**2 + 34*z - 4 + 29 + 7.
2*(z + 1)*(z + 16)
Let i = 3867853/4056 - -73/1352. Let g = 957 - i. Factor g*x**4 - 6*x**3 - 2/3*x**5 + 0 + 14/3*x**2 - 4/3*x.
-2*x*(x - 2)*(x - 1)**3/3
Let z = -5852219/15 + 390155. What is k in z*k - 2/15*k**2 + 36/5 = 0?
-1, 54
Suppose h - 100 = 2*n - 107, 2*n + 4*h = 22. Suppose 36*b - 35*b - 4*p + 8 = 0, 5*b - 5*p - n = 0. Factor -1/3*r**b + 0 - 8/3*r**2 - 5/3*r**3 - 4/3*r.
-r*(r + 1)*(r + 2)**2/3
Let r(c) be the third derivative of c**8/50400 - c**7/1890 + c**6/216 + 11*c**4/4 + 80*c**2. Let y(j) be the second derivative of r(j). Solve y(z) = 0 for z.
0, 5
Let m(p) = -4*p - 118. Let l(d) = -12*d - 359. Let u(g) = -6*l(g) + 17*m(g). Let s be u(-37). Factor -3/2*c**2 - c + 0 + s*c**3 + 1/2*c**4.
c*(c - 2)*(c + 1)**2/2
Let j be 234/52 - 6/4. Factor 4*s**4 + 8*s**j - 7*s**4 - 5*s**3.
-3*s**3*(s - 1)
Let i be (-14)/49*(34 - 6). Let y be ((-90)/11 - i)*11/(-12). Factor -1 - y*p + 1/3*p**2.
(p - 2)*(2*p + 3)/6
Let y be (0/2 - 0/(-3))/(-570 + 565). Suppose 3*a - 5*i - 6 + 0 = 0, 2 = a + i. Factor 1/3*h**5 - 1/3*h**4 + y - 1/3*h**3 + 1/3*h**a + 0*h.
h**2*(h - 1)**2*(h + 1)/3
Let g = -326337763/19236 + 203581/12. Let r = g - -2/229. Factor 3/7*z**2 - 4/7*z + r.
(z - 1)*(3*z - 1)/7
Let n = -40 + 33. Let u = n - -12. Factor u + 0 - 20 - 3*p**2 + 18*p.
-3*(p - 5)*(p - 1)
Let a(t) be the third derivative of -t**5/15 + 3*t**4/2 + 108*t**3 - 6477*t**2. Factor a(b).
-4*(b - 18)*(b + 9)
Let b be 187/101 - (60 - 58). Let t = 3767/202 + b. Let t*s**2 + 22*s**3 + 0*s - 3/2*s**4 - 2 - 7*s**5 = 0. What is s?
-1, -1/2, 2/7, 2
Let r(q) be the third derivative of -4/3*q**3 + 0 + 0*q + 2/9*q**4 - 1/180*q**6 + 162*q**2 + 1/90*q**5. Factor r(j).
-2*(j - 2)**2*(j + 3)/3
Let i be (-2)/28*-562 - (-4 + 8). Let l = i + -35. Suppose 2/7*k**3 + l + 0*k - 6/7*k**2 = 0. What is k?
-1, 2
Let y(s) be the first derivative of 1/2*s**2 + 1/24*s**6 + s - 5/12*s**3 - 5/16*s**4 + 1/20*s**5 - 172. Find g, given that y(g) = 0.
-2, -1, 1, 2
Let n be 492/286 + (-4104)/(-8892). Determine t, given that 54/11*t**2 - 2/11*t**4 - 28/11*t + 0 - n*t**3 = 0.
-14, 0, 1
Suppose 1/6*p**3 + 28561/2*p + 4826809/6 + 169/2*p**2 = 0. Calculate p.
-169
Let w(n) = -26*n**3 - 10*n**2 + 132*n + 136. Let a(h) = -2*h**3 + 2. Let l(z) = 5*a(z) - w(z). Factor l(g).
2*(g - 3)*(g + 1)*(8*g + 21)
Let d(z) = 32*z**4 - 28*z**3 - 36*z**2 + 24*z + 12. Let v(j) = 13*j**4 - 11*j**3 - 14*j**2 + 10*j + 5. Let g(h) = 5*d(h) - 12*v(h). Factor g(l).
4*l**2*(l - 3)*(l + 1)
Let a be 736230/473110 + 12/34. Determine q, given that a - 1/11*q**2 + 20/11*q = 0.
-1, 21
Let g = -3480 - -4972. Let u = g + -1492. Factor 3/2*b**3 + 0*b + u + b**2.
b**2*(3*b + 2)/2
Let f(l) be the second derivative of -3*l**5/70 + 5*l**4/21 + 3*l**3/7 - 4*l**2/7 + 21*l + 6. Solve f(j) = 0 for j.
-1, 1/3, 4
Let y(s) = 5*s**3 - 233*s + 232. Let l be y(1). Suppose -2/9*v**5 + 0 - 2/3*v**3 - 8/9*v**l + 0*v + 0*v**2 = 0. What is v?
-3, -1, 0
Let m(q) be the first derivative of q**5/25 - 37*q**4/20 + 84*q**3/5 - 1603. Factor m(p).
p**2*(p - 28)*(p - 9)/5
Factor -10948571 + 2*g**3 + 2074464*g - 184369952 - 2218*g**2 - 211276421 - 1215*g**2 - 95*g**2.
2*(g - 588)**3
Let p(q) = 12*q + 4. Let k be p(-2). Let c = 0 - k. Factor 3*x + 15*x**3 + 5*x**5 - 20*x + c*x**4 - 3*x - 20*x**2.
5*x*(x - 1)*(x + 1)*(x + 2)**2
Let s(u) be the second derivative of -1083/8*u**2 + 3/80*u**5 + 323/8*u**3 - 92*u + 37/16*u**4 + 0. Determine b, given that s(b) = 0.
-19, 1
Let h be (3 - 3)*