*n**2 + 287*n + 105*n**3.
-5*(n - 21)*(n - 2)*(11*n + 2)
Let n = -792 + 1197. Suppose 2*j**5 - 4*j**2 - 3*j**2 - n*j**4 - 32*j + 24*j**3 + 419*j**4 - j**2 = 0. What is j?
-4, -2, 0, 1
Let g = -61 - -63. Suppose -4*v + 6 = -g*v. Determine n so that -6 - n**5 + 2*n**4 + 4*n + 6*n**v - 24*n**2 + 9*n**2 + 15*n - 5*n**2 = 0.
-3, 1, 2
Let r(k) be the third derivative of -k**5/36 - 13*k**4/72 - k**3/3 + 4*k**2 - 72*k. Find t, given that r(t) = 0.
-2, -3/5
Find h such that 8*h**3 + 11*h**3 - 237 - 29*h**3 + 75*h**2 - 139 - 2124 + 500*h - h**4 = 0.
-10, 5
Let q(b) be the second derivative of 4*b**3 + 1/30*b**6 + 2/5*b**5 + 11/6*b**4 - b - 6 + 9/2*b**2. Determine h so that q(h) = 0.
-3, -1
Suppose -1935*b = 92 - 3179 - 783. What is m in 7/5*m**4 - 268/5*m - 318/5*m**b + 104/5 - 13*m**3 = 0?
-2, 2/7, 13
Let u be 4/(-12)*-9 + 11. Let n(f) = 10*f - 15. Let l be n(u). Suppose -p**3 + l*p**2 + 3*p**3 - 123*p**2 = 0. Calculate p.
-1, 0
Let r(z) be the third derivative of z**8/40320 - 13*z**7/5040 - 7*z**5/30 - 89*z**2. Let n(l) be the third derivative of r(l). Suppose n(d) = 0. Calculate d.
0, 26
Let c(o) = 71*o - 127*o - 6*o**3 - 8 + 51*o + 2*o**2. Let h be c(-1). Factor h*x**2 - 9/4*x**3 + 1/2 - 13/4*x.
-(x - 1)**2*(9*x - 2)/4
Let n(c) be the third derivative of -c**8/1176 - 36*c**7/245 - 583*c**6/84 + 18*c**5/35 + 243*c**4/7 + 1082*c**2. Solve n(a) = 0 for a.
-54, -1, 0, 1
Suppose -5*z = -z. Let t be (4230/105 + -41)*7/(-2). Factor 5*x - 5/2*x**3 + t*x**2 + z.
-5*x*(x - 2)*(x + 1)/2
Let y(d) = d**3 - 4*d**2 + 5*d - 15. Let s be y(4). Factor -48 - 6*t**4 - 64*t - 11*t**2 + 4*t**4 + 9*t**4 + 12*t**3 - 5*t**2 + t**s.
(t - 2)*(t + 2)**3*(t + 3)
Let r = -348976 - -1046929/3. Factor -1/3*h + 3 - 3*h**2 + r*h**3.
(h - 9)*(h - 1)*(h + 1)/3
Let i(a) be the third derivative of -a**5/12 - 245*a**4/48 - 275*a**3/6 - 1221*a**2. Factor i(c).
-5*(c + 22)*(2*c + 5)/2
Let 1/4*u**5 - 53/4*u**3 - 11/4*u**4 - 35 + 151/4*u**2 + 13*u = 0. What is u?
-5, -1, 1, 2, 14
Suppose 5*w - 3 = 2*b + 7, 2*w - 5*b + 17 = 0. Factor -6*f**3 + 0*f**w - 10*f**3 + 64 + 64*f - 5*f**4 + f**4.
-4*(f - 2)*(f + 2)**3
Suppose 9*i - 25 = 47. Factor i*k**3 - 21*k**3 - k**4 + 8*k**3 - k + k**2 + 6*k**3.
-k*(k - 1)**2*(k + 1)
Factor 38/5*u**2 + 1/5*u**3 + 0 + 0*u.
u**2*(u + 38)/5
Solve 118/7*a**2 - 2/7*a**3 + 122/7 + 242/7*a = 0.
-1, 61
Let 4 + 1/4*y**4 - 2*y**3 + 1/4*y**5 + 4*y - 2*y**2 = 0. Calculate y.
-2, -1, 2
Let m(u) be the second derivative of u**3 + 40*u**2 - 206*u. Let q be m(-13). Suppose 0*n - 1/9*n**3 - 2/9*n**4 + 0*n**q - 1/9*n**5 + 0 = 0. What is n?
-1, 0
Let s(z) be the second derivative of 33*z + 2/3*z**3 + 0*z**2 + 5/6*z**4 + 3/20*z**5 + 0 - 3/20*z**6. Suppose s(h) = 0. Calculate h.
-2/3, 0, 2
Factor 50*v + 88 - 113 - 495 - 320*v - 5*v**2.
-5*(v + 2)*(v + 52)
Let a(p) = -p**2 - 18*p - 22. Let k(u) = -9*u - 3*u**2 + 5*u**2 - 8*u + 0*u**2 - 22 - 3*u**2. Let x(s) = 4*a(s) - 5*k(s). Solve x(h) = 0.
-11, -2
Factor -803*c**2 + 1024 + 2188*c - 902*c**2 - 357*c**2 + 8*c**3 + 233*c + 1159*c.
2*(c - 256)*(c - 2)*(4*c + 1)
Find k, given that -108*k + 8*k**5 - 10*k**5 - 36*k**2 - 60*k**4 + 6*k**5 + 44*k**2 + 52 + 104*k**3 = 0.
-1, 1, 13
Let v(z) be the second derivative of -z**9/36288 + z**8/2520 + z**7/1120 + 7*z**3/6 - 3*z**2 - 136*z. Let s(i) be the second derivative of v(i). Factor s(c).
-c**3*(c - 9)*(c + 1)/12
Let t(h) = h**2 - 6*h + 28. Let w be t(5). Suppose 3*r + 8 = 4*x + w, -2*x - 2*r + 10 = 0. Factor x*o**2 + 0 + 1/5*o**5 - 1/5*o**4 + 0*o**3 + 0*o.
o**4*(o - 1)/5
Let s be (-2)/(-16) - (-4 + (-11 - -15)). Let z(n) be the first derivative of 0*n**2 + s*n**4 + 1/6*n**3 - 4 + 0*n. Find l such that z(l) = 0.
-1, 0
Let b = -16716/19 + 117164/133. Find y, given that -76/7*y**2 - 164/7*y + 80/7*y**3 - b = 0.
-1, -1/20, 2
Let l(n) be the third derivative of n**8/168 - n**7/7 + 41*n**6/30 - 34*n**5/5 + 58*n**4/3 - 32*n**3 + 826*n**2. Determine g so that l(g) = 0.
1, 2, 4, 6
Let t(a) be the second derivative of -45*a**7/14 - 9945*a**6/2 - 4113495*a**5/2 + 20617225*a**4/6 - 13755875*a**3/6 + 1529045*a**2/2 + 5553*a. Solve t(p) = 0.
-553, 1/3
Factor 0 + 202/3*a + 98/3*a**3 + 1/3*a**4 - 301/3*a**2.
a*(a - 2)*(a - 1)*(a + 101)/3
Let q(f) be the second derivative of 0*f**3 + 1/20*f**5 + 14*f + 2 - 41/12*f**4 + 0*f**2. Solve q(p) = 0 for p.
0, 41
Let a(c) be the third derivative of -22/3*c**4 + 4*c**2 - 968*c**3 + 0*c + 33 - 1/45*c**5. Factor a(j).
-4*(j + 66)**2/3
Factor -1/7*i**2 - 38025/7 - 390/7*i.
-(i + 195)**2/7
Let m(p) = p**4 - 3872*p**3 - 929287*p**2 - 925449*p - 5. Let d(g) = g**4 - 4*g**3 + g**2 - g - 1. Let s(f) = 5*d(f) - m(f). Factor s(k).
4*k*(k + 1)*(k + 481)**2
Let k(d) = -11*d**3 + 130*d**2 - 352*d + 236. Let w(y) = -20*y**3 + 260*y**2 - 705*y + 470. Let r(s) = -5*k(s) + 3*w(s). Factor r(v).
-5*(v - 23)*(v - 2)*(v - 1)
Let x = -6844 + 20537/3. Let u(r) be the third derivative of 2/105*r**7 + x*r**4 + 0 + 12*r**2 + 4/5*r**5 + 0*r + 1/5*r**6 + 2*r**3. Factor u(b).
4*(b + 1)**3*(b + 3)
Factor -7*n**4 + 94*n**3 + 29*n**2 + 102*n**2 - 15*n**4 - 16*n - 10*n**3 - 203*n**2.
-2*n*(n - 2)**2*(11*n + 2)
Let z(t) be the first derivative of -t**5/100 + 11*t**4/20 - 21*t**3/10 - t**2/2 + 3*t - 215. Let f(a) be the second derivative of z(a). Factor f(x).
-3*(x - 21)*(x - 1)/5
Let g = -2333 - -11667/5. Let n(c) be the second derivative of 0 - 1/75*c**6 + 1/15*c**3 + 1/10*c**4 - g*c**2 - 1/50*c**5 + 20*c. Solve n(s) = 0.
-2, -1, 1
Factor 3776*w**3 - 1197*w**2 + 131 - 3716*w**3 - 23 + 2100*w.
3*(w - 18)*(w - 2)*(20*w + 1)
Let l(t) be the second derivative of t**8/112 + 17*t**7/168 + 7*t**6/18 + t**5/2 - 17*t**3/6 - 27*t. Let d(k) be the second derivative of l(k). Factor d(o).
5*o*(o + 2)*(o + 3)*(3*o + 2)
Factor -960 + 114*r + 12*r + 77*r + 67*r + 208*r + r**2.
(r - 2)*(r + 480)
Let c = 234 + -346. Let m be ((-96)/c)/((-9)/(-21)). Find i, given that 1/5*i**m + 16/5 - 8/5*i = 0.
4
Let g(d) be the third derivative of -d**6/2520 - d**5/840 + d**4/28 - 7*d**3/2 + 20*d**2 + 1. Let y(h) be the first derivative of g(h). Factor y(o).
-(o - 2)*(o + 3)/7
Let y(u) be the third derivative of u**5/390 + 19*u**4/78 - u**3 - 470*u**2. What is b in y(b) = 0?
-39, 1
Let l be (2 - 0) + 1 + (5 - 9). Let t be -2 - l - (-11 + 8 - 1). Factor 0 - 1/3*g**t + 2/3*g**2 - 1/3*g.
-g*(g - 1)**2/3
Let m(b) be the third derivative of 0 + 1/150*b**6 + 187*b**2 + 0*b - 1/30*b**4 + 2/5*b**3 + 1/1050*b**7 - 13/300*b**5. Suppose m(i) = 0. Calculate i.
-6, -1, 1, 2
What is v in -67*v + 1/2*v**5 - 263/2*v**3 + 63/2*v**4 + 0 + 333/2*v**2 = 0?
-67, 0, 1, 2
Let j(p) be the second derivative of 1/3*p**4 + 186*p + 0 + 24*p**3 + 70*p**2. Factor j(n).
4*(n + 1)*(n + 35)
Let a(v) be the third derivative of -v**6/840 - 11*v**5/140 - 12*v**4/7 - 128*v**3/21 - 1356*v**2. Factor a(l).
-(l + 1)*(l + 16)**2/7
Let m be (-716)/(-895) + (-24)/(-20). Suppose -5*t - 4 = -19. Factor 1/8*u**t - 1/8*u**m - 1/8*u + 1/8.
(u - 1)**2*(u + 1)/8
Let c(g) be the third derivative of -8*g**7/35 - 197*g**6/5 + 4023*g**5/20 - 1715*g**4/8 + 101*g**3 - 1319*g**2. Suppose c(o) = 0. What is o?
-101, 1/4, 2
Let v(d) = -12*d**4 + 4100*d**3 + 212176*d**2 + 208032*d. Let j(q) = 2*q**4 - 820*q**3 - 42435*q**2 - 41607*q. Let w(y) = -16*j(y) - 3*v(y). Factor w(m).
4*m*(m + 1)*(m + 102)**2
Let f = -1314 - -1246. Let z be 3/16*f/(-51). Factor -z*v**2 - 3/4*v - 1/2.
-(v + 1)*(v + 2)/4
Let u be (-2)/24*-13 - (2058/(-56))/(-49). Let r(j) be the second derivative of 0 - u*j**4 + 3*j + 3/2*j**2 - 7/40*j**5 + 5/12*j**3. Factor r(t).
-(t + 1)**2*(7*t - 6)/2
Let d be -1*5*((-84)/30 + 2). What is f in 2*f**d + 4*f**3 - 14*f + 4 + 167305*f**2 - 14*f**3 - 167287*f**2 = 0?
1, 2
Factor 827*t**3 + 25995*t - 825*t**3 + 522*t**2 + 7269*t - 104544.
2*(t - 3)*(t + 132)**2
Suppose -18654*u + 18366*u + 16*u**2 - 2163 - 13*u**2 = 0. What is u?
-7, 103
Let s be 10/12*(-174)/(-3480). Let c(x) be the third derivative of 0*x**3 + s*x**6 + 0*x + 1/2*x**5 + 0*x**4 + 0 - 21*x**2. Factor c(r).
5*r**2*(r + 6)
Let q(x) = x**3 + 7*x**2 - 35*x - 45. Let g be q(-10). Suppose 8*z - 3*z = g*h, -z + 12 = 2*h. Factor -2/5*p**2 - 1/5*p**z - 3/5*p**3 + 0 + 0*p.
-p**2*(p + 1)*(p + 2)/5
Let h(s) be the third derivative of s**5/60 + 17*s**4/8 - 26*s**3/3 + s**2 + 246*s. Find t such that h(t) = 0.
-52, 1
Let m(k) be the thi