e -4/5*n**c - 14884/5 - 488/5*n = 0.
-61
Let y(o) be the first derivative of -o**7/840 + o**6/120 + o**5/20 - o**4/3 + o**3/3 - 124*o - 193. Let p(c) be the third derivative of y(c). Factor p(v).
-(v - 4)*(v - 1)*(v + 2)
Let t be (4 - 1) + 1/(10/250). Factor 11*a**4 - 66*a**4 - 35*a**3 + 95*a + t + 17 + 10*a**2 - 55*a**3 - 5*a**5.
-5*(a - 1)*(a + 1)**3*(a + 9)
Let o(t) be the first derivative of t**6/270 + t**5/90 - t**4/36 + 100*t + 97. Let l(b) be the first derivative of o(b). Factor l(y).
y**2*(y - 1)*(y + 3)/9
Let h(k) = -2*k**2 - 2*k**2 - 42*k - 3*k**2 + 44*k + 11. Let t(b) = 40*b**2 - 13*b - 67. Let a(m) = 34*h(m) + 6*t(m). Factor a(p).
2*(p - 7)*(p + 2)
Let c be (-2)/(-15) - (-164368)/240. Let d = -682 + c. Factor -2/3*y**d + 0 + 8/3*y**2 - 2*y.
-2*y*(y - 3)*(y - 1)/3
Let s(i) = 308*i**4 + 608*i**3 - 67*i**2 - 67*i + 7. Let o(k) = -205*k**4 - 405*k**3 + 45*k**2 + 45*k - 5. Let c(q) = 7*o(q) + 5*s(q). What is m in c(m) = 0?
-2, -2/7, 0, 1/3
Suppose 45064*w = 45060*w + 8. Let f(l) be the second derivative of 2/3*l**4 + 4*l**3 - 1/10*l**6 + 0 - 1/5*l**5 - 15*l + 8*l**w - 1/84*l**7. Factor f(c).
-(c - 2)*(c + 2)**4/2
Let i(d) = d**2. Let c(m) = -4*m**2 + 2*m. Let l = 4556 + -4558. Let p be -11 + (-2)/4*-2. Let v(g) = l*c(g) + p*i(g). Factor v(a).
-2*a*(a + 2)
Let k(a) be the second derivative of a**9/3024 + a**8/1344 - a**7/84 + 16*a**4/3 + 57*a. Let d(v) be the third derivative of k(v). Let d(r) = 0. What is r?
-3, 0, 2
Let w(z) be the third derivative of 5*z**8/168 + 58*z**7/1155 - 37*z**6/660 - 14*z**5/165 + z**4/11 + 887*z**2. Let w(r) = 0. What is r?
-1, 0, 2/5, 6/11
Let n be -5*(1 - (-7)/(-6)). Suppose -5*b = -806*b + 801. Suppose -n*g - b - 1/6*g**2 = 0. What is g?
-3, -2
Let x(m) = -548*m - 29589. Let d be x(-54). What is g in -4/9 - 2*g + 14/9*g**4 + 2*g**d - 10/9*g**2 = 0?
-1, -2/7, 1
Let y(q) be the second derivative of q**4/3 + 62*q**3/3 + 300*q**2 - 203*q + 5. Factor y(z).
4*(z + 6)*(z + 25)
Suppose -313 + 265 = -5*n + 2*u, 0 = 3*u + 27. Let o(f) be the first derivative of -1/3*f**3 - 1/4*f**4 - n + 2*f**2 + 4*f. Find c such that o(c) = 0.
-2, -1, 2
Let r(y) be the first derivative of -y**7/2240 - y**6/120 - y**5/64 + 7*y**4/32 - 20*y**3 - 130. Let m(b) be the third derivative of r(b). Factor m(o).
-3*(o - 1)*(o + 2)*(o + 7)/8
Suppose -770*b + 955 = -1151 - 204. Find k such that 0 + 1/2*k + 3/4*k**2 + 1/4*k**b = 0.
-2, -1, 0
Let y(g) be the first derivative of 2*g**6 + 64*g**5/5 - 21*g**4 - 216*g**3 - 64*g**2 + 384*g + 905. Let y(p) = 0. Calculate p.
-4, -1, 2/3, 3
Let w = 19 - 56/3. Let o be ((-16)/20)/(((-324)/160)/27). Factor -56/3*b**2 + 0 - 10/3*b**4 + o*b + 12*b**3 + w*b**5.
b*(b - 4)*(b - 2)**3/3
Let d(p) be the third derivative of -p**6/40 + 11*p**5/20 + 51*p**4/4 - 4*p**2 + 129*p. Factor d(b).
-3*b*(b - 17)*(b + 6)
Let u(n) be the third derivative of n**7/630 - n**6/45 + 34*n**4/3 + 60*n**2 + 1. Let t(q) be the second derivative of u(q). Factor t(m).
4*m*(m - 4)
Let d(a) be the second derivative of -2*a + 17 + 0*a**2 + 1/7*a**4 + 1/7*a**5 - 4/21*a**3. Suppose d(v) = 0. Calculate v.
-1, 0, 2/5
Factor -10205445*j**3 + 52*j**2 - 45 - 51 - 40*j + 10205441*j**3.
-4*(j - 12)*(j - 2)*(j + 1)
Let d(l) be the second derivative of -l**4/138 + l**3/23 + 4*l**2/23 + 2*l - 90. Factor d(v).
-2*(v - 4)*(v + 1)/23
Let m = 23671 + -118353/5. Let i(l) be the first derivative of 1/2*l**4 - 20 + m*l**5 + 4*l - l**2 - 2*l**3. Factor i(o).
2*(o - 1)**2*(o + 1)*(o + 2)
Let x(f) be the third derivative of f**7/1575 - f**6/450 - 26*f**5/45 - 71*f**4/10 + 171*f**3/5 - 7*f**2 - 97*f. Suppose x(g) = 0. Calculate g.
-9, 1, 19
Let l be 0*((-82)/(-8) - 10). Let o(q) be the second derivative of 0*q**3 - 9*q + 0*q**4 + l*q**2 - 1/80*q**5 + 0. Let o(j) = 0. What is j?
0
What is s in 2*s**4 - 836/3*s**3 + 94 - 1408/3*s**2 - 284/3*s = 0?
-1, 1/3, 141
Determine k, given that -16/5*k**4 - 48 - 2/5*k**5 + 6/5*k**3 + 172/5*k**2 - 88/5*k = 0.
-6, -5, -1, 2
Let i be -2 + ((-31)/1)/(-1). Suppose 2364 - 2337 = 9*w. Factor 4*n**2 + n**w - 3*n**2 - i*n + 29*n.
n**2*(n + 1)
Let w(b) = 7*b**2 + 580*b + 6. Let l(q) = -2*q**2 + 46*q - 2. Let k(f) = -3*l(f) - w(f). Factor k(j).
-j*(j + 718)
What is z in z**2 - 99*z + 47*z + 41 + 10*z = 0?
1, 41
Suppose -244/5*d**3 - 48/5*d**4 + 24/5 - 4/5*d - 304/5*d**2 = 0. What is d?
-3, -2, -1/3, 1/4
Let s be -5*(6 - (-489)/(-75)). Let h be 5/(-4) - 12*(-310)/800. Determine q, given that s*q**4 + 0 + 2/5*q + h*q**2 + 28/5*q**3 = 0.
-1, -2/13, 0
Suppose 4*q + 2164 = -2*u, 0 = -3*u - 5*q - 1241 - 2000. Let d = u - -1082. Solve d*m**2 + 13/2*m + 1 = 0.
-2/5, -1/4
Let t(a) = -210*a**3 + 66741*a**2 + 93144*a + 26652. Let h(k) = -15*k**3 + 5134*k**2 + 7165*k + 2050. Let m(d) = 27*h(d) - 2*t(d). Factor m(g).
3*(g + 1)*(g + 341)*(5*g + 2)
Let n = -3799 + 3803. Let z(f) be the second derivative of 1/35*f**6 + 0 + 1/7*f**n + 0*f**2 + 0*f**3 - 7*f + 9/70*f**5. Solve z(g) = 0.
-2, -1, 0
Let v(r) be the second derivative of -r**8/4032 + r**7/72 - 7*r**4/12 + 11*r + 5. Let o(w) be the third derivative of v(w). Factor o(g).
-5*g**2*(g - 21)/3
Let n(t) be the second derivative of 8/7*t**2 + 11/70*t**5 - 10/21*t**3 - 1/147*t**7 - t - 1/6*t**4 + 98 - 1/105*t**6. Suppose n(z) = 0. What is z?
-4, -1, 1, 2
Let u(o) be the first derivative of o**6/2 + 24*o**5/5 - 6*o**4 - 64*o**3 + 24*o**2 + 384*o + 949. Solve u(p) = 0.
-8, -2, 2
Suppose -17 + 0 - 4*v**3 + 29 - 677*v**2 + 20*v + 681*v**2 = 0. Calculate v.
-1, 3
Suppose 0 = -3*q - 4*r - 7, q - 5*q - 3 = -r. Let p be (-8*q/(-2))/(-8 + 6). Let -56/5*s - 4/5*s**p - 196/5 = 0. Calculate s.
-7
Let i(n) be the second derivative of -n**4/3 + 86*n**3/3 - 660*n**2 - 6692*n. Suppose i(h) = 0. Calculate h.
10, 33
Let z(j) be the third derivative of -5/57*j**3 - 1/570*j**5 - 2*j**2 - 13*j + 1/38*j**4 + 0. Solve z(k) = 0.
1, 5
Let l(w) = -4*w**2 - 309*w - 3129. Let i be l(-12). Factor -4*u**i - 2*u**4 - 10/3*u**2 - u + 0 - 1/3*u**5.
-u*(u + 1)**3*(u + 3)/3
Let g(b) be the third derivative of -b**8/672 + 7*b**7/30 - 333*b**6/80 + 1861*b**5/60 - 1489*b**4/12 + 290*b**3 - 21*b**2 + 8. Determine n so that g(n) = 0.
2, 5, 87
Let v be 77/385 - (-3)/(-20). Let w(x) be the second derivative of 3/10*x**2 + 3/100*x**5 + 0 - 1/10*x**3 - v*x**4 - x. Factor w(t).
3*(t - 1)**2*(t + 1)/5
Suppose -77*m = 828 - 828. Let r(y) be the first derivative of -15 - 8/15*y**3 - 1/5*y**2 + m*y. Suppose r(i) = 0. Calculate i.
-1/4, 0
Let q(p) = -5*p**2 - 105*p + 66. Let k(y) = y**2 + 18*y + 1. Let t(s) = 4*k(s) + q(s). Determine h, given that t(h) = 0.
-35, 2
Let z(u) be the second derivative of u**5/100 + u**4/12 - 14*u**3/15 - 16*u**2/5 - 3675*u. Factor z(b).
(b - 4)*(b + 1)*(b + 8)/5
Let f(h) be the first derivative of -h**4/8 - 253*h**3/6 + 256*h**2 - 514*h - 3928. Find i such that f(i) = 0.
-257, 2
Let k(i) = i + 8. Let l be k(-6). Let n = 16236231/7 - 2319461. Factor 6/7 + 2/21*s**l + n*s.
2*(s + 3)**2/21
Let g(m) = -65*m + 455. Let y be g(7). Let s(h) be the first derivative of 1/15*h**5 + 1/12*h**4 + y*h - 1/18*h**6 + 7 - 1/9*h**3 + 0*h**2. Factor s(z).
-z**2*(z - 1)**2*(z + 1)/3
Let j(p) = 7*p**2 - 23*p + 20. Let v(f) = 128*f - 15*f**2 - 35*f - 81 - 15*f**2 + 3*f**2. Let k(l) = 15*j(l) + 4*v(l). Factor k(w).
-3*(w - 8)*(w - 1)
Let t(c) = -2*c**3 - 8*c**2 + c + 4. Let q be t(-6). Find r, given that -9*r - 2*r**2 + q*r + 39*r = 0.
0, 86
Let g(q) be the second derivative of 13/30*q**3 + 4 + 3/100*q**5 + 22*q - 17/60*q**4 + 33/10*q**2. Factor g(m).
(m - 3)*(m + 1)*(3*m - 11)/5
Let f(o) be the third derivative of o**8/20160 - o**7/2520 - 2*o**5/3 - o**2 + 49. Let r(v) be the third derivative of f(v). Factor r(q).
q*(q - 2)
Let a(r) be the third derivative of r**5/15 + 29*r**4/12 + 13*r**3 + 19*r**2 + 187*r + 2. Factor a(i).
2*(i + 13)*(2*i + 3)
Suppose -57*y**3 + 200*y**2 + 50*y**4 - 108*y**3 + 284*y - 5*y**5 - 364*y = 0. What is y?
0, 1, 4
Let q(a) = a**2 + 9*a - 27. Let x be q(-13). What is n in 52*n - 45*n + x*n + 51*n**2 + 6 + 24*n**3 - n**2 = 0?
-1, -3/4, -1/3
Let m be 8 - 4/(((-18)/21)/(45/(-35))). Let i(o) be the first derivative of -31 - 24*o + 4/3*o**3 + m*o**2. Factor i(y).
4*(y - 2)*(y + 3)
Let h = -2268 - -6809/3. Let a(v) be the second derivative of -9*v + 1/12*v**4 - h*v**2 - 13/18*v**3 + 0. Suppose a(k) = 0. What is k?
-2