*z**4 - 12*z**3 + n*z**2 + 16*z + 4.
2*z*(z - 2)*(z - 1)*(z + 2)**2
Let x(q) be the third derivative of -2*q**7/105 - q**6/5 - 8*q**5/15 + q**4 + 6*q**3 - 2334*q**2. Factor x(s).
-4*(s - 1)*(s + 1)*(s + 3)**2
Let t(x) be the first derivative of -4*x**3/21 - 2*x**2 - 40*x/7 - 226. What is l in t(l) = 0?
-5, -2
Let n(k) = -2*k**2 - 26*k + 34. Suppose 2 + 6 = 4*t. Let p(d) = 2*d. Let x(i) = t*n(i) - 6*p(i). Factor x(r).
-4*(r - 1)*(r + 17)
Determine h so that 0 - 382/7*h**3 + 192/7*h**2 + 0*h + 2/7*h**5 + 188/7*h**4 = 0.
-96, 0, 1
Suppose 30*h - 20602 = -6322. Factor -3*s + 471 - h*s**2 - 234 - 237 - 14161*s**3 - s.
-s*(119*s + 2)**2
Find o such that 2625*o + 205*o**2 - 345*o**2 + 5*o**3 - 100*o**2 + 6250 = 0.
-2, 25
Suppose 4*d - 18 = 54. Factor -18*l**2 + 8*l**3 + 4*l**4 + d*l - 5*l**4 + 11*l - 13*l - 5.
-(l - 5)*(l - 1)**3
Let x(i) be the first derivative of 15/4*i**4 - 33*i**3 - 588/5*i + 504/5*i**2 - 177. Factor x(n).
3*(n - 1)*(5*n - 14)**2/5
Let m(h) = 6*h**2 - 474*h - 1002. Let v(k) = 20*k**2 - 1420*k - 3016. Let y(t) = -16*m(t) + 5*v(t). Suppose y(g) = 0. Calculate g.
-119, -2
Solve 51868672/3 + 103211648/3*u + 1772/3*u**4 - 522146/3*u**3 - 2/3*u**5 + 50819056/3*u**2 = 0.
-1, 296
Let j(g) be the second derivative of -g**5/40 - 19*g**4/12 - 80*g**3/3 + 200*g**2 + 1145*g. Factor j(q).
-(q - 2)*(q + 20)**2/2
Let h(v) be the second derivative of 0 + 1/40*v**5 + 8*v + 0*v**3 + 3/16*v**4 + 33/2*v**2. Let m(b) be the first derivative of h(b). Factor m(x).
3*x*(x + 3)/2
Let b be -830*(-25)/(-30) + (-4)/4. Let r = -686 - b. Factor 20/3 + 4/3*a**3 - r*a**2 - 4/3*a.
4*(a - 5)*(a - 1)*(a + 1)/3
Let r(t) = -44*t**2 - 82*t + 1011. Let h(q) = -234*q**2 - 410*q + 5052. Let u(n) = 3*h(n) - 16*r(n). Factor u(c).
2*(c - 10)*(c + 51)
Suppose 0 = -455*f - 296*f - 23*f - 628 + 2950. Factor 0*n - 20/3*n**2 + 0 + 2/9*n**f.
2*n**2*(n - 30)/9
Suppose 29*z + 4 = 31*z, 0 = 2*c - 3*z - 6. Suppose 0 = -c*x + 23 + 229. Factor 6*v + 84*v**4 - x*v**2 + 99/2*v**3 + 0 + 24*v**5.
3*v*(v + 2)**2*(4*v - 1)**2/2
Let o(y) = 12*y**2 - 3*y - 1. Let q(v) = -53*v**2 + 5272*v - 1383376. Let l(d) = 4*o(d) + q(d). Factor l(m).
-5*(m - 526)**2
Let z(x) be the first derivative of x**3/3 + 11*x**2/2 + 28*x + 55. Let g be z(-3). Solve -22/3*p**g + 24*p**2 - 2/3*p**5 + 0 + 0*p - 16*p**3 = 0.
-6, 0, 1
Let c(x) be the first derivative of 5*x**3/3 + x**2/2 - 3*x - 254. Let p be c(1). Let -8/3 + 2*z**4 - 6*z**2 - 4/3*z**p + 8*z = 0. Calculate z.
-2, 2/3, 1
Let c be ((-35)/245)/((-2)/49) - 2. Let v(n) be the first derivative of 3 + 3/4*n**4 - c*n**2 - 2*n**3 + 6*n. Factor v(g).
3*(g - 2)*(g - 1)*(g + 1)
Let s(x) = -29*x**5 - 57*x**4 - 116*x**3 + 166*x - 12. Let y(b) = 265*b**5 + 515*b**4 + 1045*b**3 - 1495*b + 110. Let o(i) = -55*s(i) - 6*y(i). Factor o(v).
5*v*(v - 1)*(v + 2)*(v + 4)**2
Factor -50*i**4 - 4873836*i**2 - 615*i**3 - 2547*i - 960 + 4871256*i**2 - 1373*i.
-5*(i + 4)**3*(10*i + 3)
Let s(x) be the second derivative of -x**7/420 - x**6/45 + x**5/12 - 91*x**3/6 + 21*x. Let v(i) be the second derivative of s(i). Let v(y) = 0. What is y?
-5, 0, 1
Let -1101615 + 2*j**3 - 375335*j + 692749*j**2 - 695474*j**2 - 7*j**3 = 0. What is j?
-271, -3
Let m(q) = 50*q - 3. Let u be m(1). Suppose 2*b - u = -43. Find h such that -6*h**4 + 21*h**2 - 14*h**3 + 5*h**3 + 6*h**b - 9*h**4 - 3*h**5 = 0.
-3, 0, 1
Let j(c) = c - 24. Let l be j(11). Let p = 35 + l. What is u in -p*u**2 - 29*u**2 - 8 - 56*u - 47*u**2 = 0?
-2/7
Let i = 39 + -21. Let m = i + -8. Factor -5*g**2 + 2*g**4 + m*g**2 - 7*g**2 + g**5 - g.
g*(g - 1)*(g + 1)**3
Factor -5*a**2 - 440 - 321301*a + 160722*a + 160809*a.
-5*(a - 44)*(a - 2)
Let l(z) be the second derivative of -3*z**5/100 - 39*z**4/20 - 507*z**3/10 - 6591*z**2/10 - 3*z - 286. What is y in l(y) = 0?
-13
Suppose 23*q - 7*q - 1040 = 0. Let x be -3 - 0 - (3 + (-440)/q). Find b, given that 0 - x*b**4 - 16/13*b + 2/13*b**5 + 12/13*b**3 + 8/13*b**2 = 0.
-1, 0, 2
Let q(h) be the second derivative of -1/90*h**5 + 0*h**3 + 0 - 1/2*h**2 - 3*h - 1/36*h**4. Let t(d) be the first derivative of q(d). Factor t(s).
-2*s*(s + 1)/3
Let x = 8 - 3. Let q be 4*(-5 + 102/8). What is h in 8 - q*h - x*h**2 + h - 33 = 0?
-5, -1
Let r(k) be the third derivative of k**5/60 - k**3/6 - k**2 - 45. Let n(f) = 10*f**2 - 40*f + 30. Let d(c) = -n(c) + 8*r(c). Solve d(p) = 0.
1, 19
Let y(u) = 21*u**2 - 9*u + 6. Let z be y(1). Let n be z/99 - (-656)/264. What is p in n*p**3 + 2/3*p**5 - 4/3 - 4/3*p**2 + 8/3*p**4 - 10/3*p = 0?
-2, -1, 1
Find b, given that 4584/7*b**2 + 0 - 656/7*b - 14*b**4 - 1140*b**3 = 0.
-82, 0, 2/7
Let t(w) = -w**3 - 3*w**2 + 9*w + 7. Let r be t(-5). Factor 27*s - 4*s**3 + 3*s**5 - 6*s**3 + 4*s**3 - r*s**4 + 36*s**2.
3*s*(s - 3)**2*(s + 1)**2
Let v(w) be the third derivative of -w**8/1848 + w**6/110 - 4*w**5/165 + w**4/44 - 10*w**2 + w - 138. Let v(p) = 0. Calculate p.
-3, 0, 1
Let l(z) be the first derivative of z**8/1176 - 2*z**7/735 + z**5/105 - z**4/84 + 2*z**2 - 21*z - 208. Let u(s) be the second derivative of l(s). Factor u(q).
2*q*(q - 1)**3*(q + 1)/7
Let y be 270/(-180) + (-108)/(-40). Find w, given that 2/5*w**4 + y*w**5 + 0*w + 0 - 6/5*w**3 - 2/5*w**2 = 0.
-1, -1/3, 0, 1
Let d(r) be the third derivative of 3/35*r**7 + 0*r + 1/168*r**8 + 0*r**4 + 0*r**3 + 9/20*r**6 - 77*r**2 + 9/10*r**5 + 0. Let d(p) = 0. Calculate p.
-3, 0
Let t(p) = -12*p**3 + 204*p**2 - 192*p - 28. Suppose 69 = -j + 41. Let n(r) = 2*r**3 - 37*r**2 + 35*r + 5. Let h(q) = j*n(q) - 5*t(q). Factor h(z).
4*z*(z - 1)*(z + 5)
What is q in 18*q + 18*q**2 + 0 - 7/2*q**3 - 4*q**4 - 1/2*q**5 = 0?
-6, -3, -1, 0, 2
Suppose -3*r = j + 23, -4968*r = -4964*r + 5*j + 115. Factor r - 1/2*u**4 + 7/2*u**3 - 15/2*u - 7/2*u**2.
-u*(u - 5)*(u - 3)*(u + 1)/2
Let d(n) = -30*n - 85. Let a be d(-15). Factor 5*v - a*v**3 + 1116*v**3 + 20*v**2 - 365*v**3 + 5*v**5 + 20*v**4 - 356*v**3.
5*v*(v + 1)**4
Let p(u) be the second derivative of u**5/130 - 2*u**4/13 - 113*u**3/13 + 350*u**2/13 - 3276*u. Suppose p(j) = 0. What is j?
-14, 1, 25
Factor 300 - 2/3*u**3 - 44/3*u**2 + 62*u.
-2*(u - 6)*(u + 3)*(u + 25)/3
Let t(c) be the third derivative of c**8/13440 - c**6/1440 + c**4/192 - 67*c**3/6 - 26*c**2. Let u(o) be the first derivative of t(o). Solve u(h) = 0 for h.
-1, 1
Let s(x) be the second derivative of 5*x**4/6 + 7*x**3 - 56*x**2 - 2*x + 9. Let a(p) = -4*p**2 - 17*p + 45. Let t(w) = -12*a(w) - 5*s(w). Factor t(j).
-2*(j - 2)*(j + 5)
Let v(g) be the second derivative of -16*g**6/45 - 47*g**5/15 + 20*g**4/3 - 83*g**3/18 + 7*g**2/6 - g + 777. Solve v(p) = 0 for p.
-7, 1/8, 1/2
Let o(a) be the first derivative of a**4/12 - 88*a**3/9 + 250*a**2/3 - 656*a/3 + 1603. Determine i so that o(i) = 0.
2, 4, 82
Let q(c) = c - 2*c**2 - 68 + 128 + c**4 + c**3 - 62. Let l(j) = -2*j**4 + 6*j**3 - 4*j**2 - 33*j + 34. Let h(y) = l(y) + q(y). Factor h(r).
-(r - 4)**2*(r - 1)*(r + 2)
Let g(d) = -6*d**2 + 410*d + 4. Let h(b) = 7*b**2 - 409*b - 6. Let i(v) = 3*g(v) + 2*h(v). What is k in i(k) = 0?
0, 103
Let -1458 + 322/9*t**2 - 1422*t - 2/9*t**3 = 0. Calculate t.
-1, 81
Let x(n) = -n**3 + 2*n**2 + 8*n + 3. Let w be x(-3). Suppose 9 + w = 3*t. Factor -2*p**2 + 6*p**2 - t - 1 - p**2.
3*(p - 2)*(p + 2)
Let f = 7931 + -7929. Let v(h) be the first derivative of -19 + 0*h + 2/3*h**6 - 4/5*h**5 + 4*h**f - 3*h**4 + 4/3*h**3. Determine n, given that v(n) = 0.
-1, 0, 1, 2
Let h(l) be the third derivative of 1/70*l**7 - 9/2*l**3 + 0 - 3/20*l**6 - 159*l**2 + 2/5*l**5 + 3/4*l**4 + 0*l. Suppose h(y) = 0. What is y?
-1, 1, 3
Let a(x) be the second derivative of -x**7/84 + x**6/10 + x**5/40 - 19*x**4/12 + 8*x**2 + 378*x. Determine k, given that a(k) = 0.
-2, -1, 1, 4
Factor 105*f**2 + 11 + 354669*f + 45*f**3 + 19 + 5*f**4 - 354574*f.
5*(f + 1)**3*(f + 6)
Solve 661 + 560*p - 106 - 107073*p**2 + 107078*p**2 = 0.
-111, -1
Let r(s) = 15*s**2 + 46*s + 3. Let z be r(-3). Find o such that -29*o**3 - 32*o**4 - 10*o**2 + z*o**5 + 16*o + 5*o**5 + 2*o**3 - 36*o**3 = 0.
-1, 0, 2/5, 8
Let h(m) be the second derivative of -13*m**5/100 + 64*m**4/15 - 122*m**3/3 - 40*m**2 + 1316*m. Factor h(n).
-(n - 10)**2*(13*n + 4)/5
Let c(o) = 13*o**3 + 36*o**2 - 248*o + 443. Let l(i) = 7*i**3 + 18*i**2 - 123*i + 222. Let j(v) = -6*c(v) + 11*l(v). Factor j(n).
-(n - 3)**2*(n + 24)
Suppose g - t + 33 = 84, -5*g