(k) = -44 + 8*k**2 - 45*k - 2*k**3 - 58*k**2 - 55*k. Let z(l) = 4*f(l) + 3*i(l). Factor z(v).
2*(v + 3)*(v + 4)*(3*v + 2)
What is s in -6/7*s**5 + 176/7*s**4 + 0 + 0*s + 120/7*s**3 + 0*s**2 = 0?
-2/3, 0, 30
Let i = -82760/3 + 82786/3. Factor -i + 1/3*b**2 - 11/3*b.
(b - 13)*(b + 2)/3
Let s(k) = 257*k + 48320. Let m be s(-188). Factor 28/11*v - 2/11*v**m + 4/11*v**3 + 10/11 + 24/11*v**2.
-2*(v - 5)*(v + 1)**3/11
Let y(z) = 2*z**3 + 34*z**2 + 81*z - 42. Let j be y(-14). Factor j + 2/11*b**4 - 2/11*b**3 + 8/11*b - 8/11*b**2.
2*b*(b - 2)*(b - 1)*(b + 2)/11
Let c(y) be the first derivative of -y**4/6 + 34*y**3/3 - 145*y**2 - 11774*y/3 + 768. Determine p so that c(p) = 0.
-7, 29
Let g(v) be the second derivative of 0*v**2 + 0 - 1/11*v**3 + 103*v - 1/66*v**4 + 3/110*v**5 + 1/165*v**6. Let g(r) = 0. What is r?
-3, -1, 0, 1
Let v(r) be the first derivative of -2*r**5/25 - 4*r**4/5 + 38*r**3/15 - 2*r**2 + 2239. Factor v(b).
-2*b*(b - 1)**2*(b + 10)/5
Solve -9/2*p**3 - 4 + 1/2*p**5 + 22/3*p - 1/3*p**4 + p**2 = 0 for p.
-2, 2/3, 1, 3
Let w be 0/(-53) + -3 + (0 - -3). Factor -10/9*v**3 + 4/3*v**2 + 0*v - 2/9*v**4 + w.
-2*v**2*(v - 1)*(v + 6)/9
Let h(m) be the third derivative of 0 + 7/120*m**5 - 7*m**2 + 1/120*m**6 + 0*m + 1/12*m**4 + 8/3*m**3. Let z(o) be the first derivative of h(o). Factor z(f).
(f + 2)*(3*f + 1)
Let f be ((-15)/(-12))/(19/((-456)/(-180))). Let q(k) be the third derivative of f*k**4 + 1/20*k**5 + 0*k + 0 + 24*k**2 - 2/3*k**3. Find p, given that q(p) = 0.
-2, 2/3
What is r in 11*r**2 + 11*r**2 - 26*r**2 - 60 + 76*r - 276 = 0?
7, 12
Suppose 12 = 414*u - 411*u. Factor r**5 - 32*r**4 + 53*r**4 - 56*r**2 + 37*r**3 - 31*r**u + 36*r - 4*r**2.
r*(r - 3)**2*(r - 2)**2
Let z be -4 + 69*610/(-22085) - -6. Let h = z - -2/1893. Factor -2/7*s - 4/21 - h*s**2.
-2*(s + 1)*(s + 2)/21
Let j = 55093/18 + -6121/2. Let r(x) be the third derivative of 1/180*x**6 + 0 - j*x**3 + 0*x - 28*x**2 + 1/315*x**7 - 1/30*x**5 - 5/36*x**4. Factor r(f).
2*(f - 2)*(f + 1)**3/3
Let v(n) be the first derivative of -7*n**6/300 + 2*n**5/15 + n**4/20 + 18*n**2 + 2*n - 27. Let w(z) be the second derivative of v(z). Factor w(t).
-2*t*(t - 3)*(7*t + 1)/5
Let y(g) be the first derivative of -39 + 1/12*g**3 - 1/4*g**2 - 2*g. Factor y(q).
(q - 4)*(q + 2)/4
Find y such that 6342671 - 6342101 - 135*y**2 + 33*y**2 + 471*y - 3*y**3 = 0.
-38, -1, 5
Let l(d) = -d**3 + 8*d**2 + 200*d - 1597. Let g be l(8). Solve 35/4*h**5 - 29*h**4 + 4*h + 0 + 12*h**g + 20*h**2 = 0.
-2/5, -2/7, 0, 2
Let c = 58076/319297 + -2/29027. Solve -2/11*z + 4/11*z**2 + 0 - c*z**3 = 0 for z.
0, 1
Let p = -443584 - -443588. Factor 8/7*u - 16/7*u**2 + 0 + 10/7*u**3 - 2/7*u**p.
-2*u*(u - 2)**2*(u - 1)/7
Let z(c) be the third derivative of -1/900*c**6 + 1/225*c**5 + 0*c + 0*c**3 - 1/180*c**4 + 0 - 152*c**2. Let z(y) = 0. What is y?
0, 1
Let t = -449705/4 - -112427. Factor -t*d + 1/4*d**2 + 1/2.
(d - 2)*(d - 1)/4
Suppose 9 = 4*z - f - 14, -z - 2*f - 28 = 0. Find d, given that 174/11*d**3 + 126/11*d**4 - 36/11 + 258/11*d - 522/11*d**z = 0.
-3, 2/7, 1/3, 1
Let f(z) be the second derivative of -z**6/1080 - 2*z**5/135 - 2*z**4/27 + 49*z**2/2 - 95*z. Let o(s) be the first derivative of f(s). Factor o(k).
-k*(k + 4)**2/9
Let k(i) be the first derivative of -14/9*i**3 + 0*i + 17 - 10/3*i**4 - 22/15*i**5 + 2/3*i**2. Factor k(s).
-2*s*(s + 1)**2*(11*s - 2)/3
Let u(m) be the third derivative of 7/120*m**5 + 5/36*m**4 + m + 0 - 41*m**2 + 1/9*m**3. Determine a so that u(a) = 0.
-2/3, -2/7
Let 86/11*c**2 + 434/11*c + 196/11 + 4/11*c**3 = 0. Calculate c.
-14, -7, -1/2
Let h(i) = 2*i**3 - 607*i**2 + 357*i - 16358. Let y be h(303). Solve 42/5*p**3 + 42/5*p**2 + 3/5 + 3/5*p**5 + 19/5*p + 19/5*p**y = 0.
-3, -1, -1/3
Factor 66/5*s**3 + 0 + 0*s**2 - 16/5*s**4 - 2/5*s**5 + 0*s.
-2*s**3*(s - 3)*(s + 11)/5
Factor 64/13*f + 36/13*f**2 + 2/13*f**3 + 0.
2*f*(f + 2)*(f + 16)/13
Let b = 1/13 + 17/117. Let t(n) be the first derivative of -13 + b*n**2 - 2/9*n**3 + 2/45*n**5 + 0*n + 0*n**4. Find o such that t(o) = 0.
-2, 0, 1
Let j(y) be the second derivative of -204*y + 0 - 1/24*y**4 - 5/4*y**3 + 0*y**2. What is w in j(w) = 0?
-15, 0
Let d(g) = -2*g - 2. Let h be d(4). Let f be (h/15)/(1/(-3)). Factor 5*r**f + 5*r**2 + 18*r - 14*r**2 + 7*r**2 + 27.
3*(r + 3)**2
Let s(i) = 14*i**2 - i - 2000. Let h be s(12). Let -2/3*z**3 + 16/9*z + 0 + 4/3*z**2 - 2/9*z**h = 0. What is z?
-4, -1, 0, 2
Suppose -5*s - 10 = 0, 0*k = k + 3*s + 4. Factor -4*g**3 - 7*g**2 - 48*g + 6*g**3 - 37*g**2 + k*g**3.
4*g*(g - 12)*(g + 1)
Determine o, given that o**3 - 957/4 - 393/4*o**2 + 1963/2*o = 0.
1/4, 11, 87
Factor -1910*d + 4344 + 1074*d**2 - 347*d**3 - 2422*d + 350*d**3.
3*(d - 2)**2*(d + 362)
Suppose -2929*b - 296 = -3077*b. Find o such that -450/11 - 2/11*o**b - 60/11*o = 0.
-15
Let j(p) be the third derivative of 25*p**8/112 + 101*p**7/70 - 321*p**6/40 - 113*p**5/20 + 37*p**4 + 6*p**3 + 2*p**2 - 547. Suppose j(y) = 0. Calculate y.
-6, -1, -1/25, 1, 2
Let r be ((-2)/4)/(((-11)/165)/(7/21)). Factor -r*t - 3 + 1/2*t**2.
(t - 6)*(t + 1)/2
Let v(x) = -3*x**2 - 10*x - 57. Let z(b) = -12*b**2 - 39*b - 228. Let q(l) = 9*v(l) - 2*z(l). Let i(a) = -3*a - 1. Let d(w) = -6*i(w) - q(w). Factor d(r).
3*(r + 3)*(r + 7)
Let a(q) be the third derivative of 1/840*q**8 + 0*q**3 - 7/150*q**5 + 0*q + 61 + 2*q**2 + 0*q**4 + 1/20*q**6 - 3/175*q**7. Solve a(z) = 0.
0, 1, 7
Let u(g) = 31*g**2 + 451*g - 205. Let z be u(-15). What is m in -16/7*m**4 + 2/7*m**z + 30/7*m**3 - 32/7*m + 16/7*m**2 + 0 = 0?
-1, 0, 1, 4
Let r be (10/24)/((-2295)/(-918)). Find o, given that 3 - 1/6*o**2 + 7/2*o - r*o**4 - 5/6*o**3 = 0.
-3, -1, 2
Let a(f) = 51*f**2 - 19*f + 23. Let n(r) = 189*r**2 - 77*r + 91. Let v(l) = 22*a(l) - 6*n(l). Factor v(p).
-4*(p - 2)*(3*p - 5)
Let i(l) be the third derivative of l**7/1890 - l**6/135 + l**5/30 - 5*l**4/12 + 39*l**2. Let z(r) be the second derivative of i(r). Factor z(b).
4*(b - 3)*(b - 1)/3
Let k = -21704 - -1107002/51. Let l = k + 12566/255. Factor 48*c**2 + l + 4/5*c**4 + 448/5*c + 52/5*c**3.
4*(c + 1)*(c + 4)**3/5
Suppose -14*v**2 - 855*v**3 + 32*v + 1705*v**3 + 68 + 23*v - 851*v**3 = 0. What is v?
-17, -1, 4
Let r(l) be the first derivative of -l**7/2 + 6*l**6/5 - 9*l**5/20 - l**4/2 - 102*l + 107. Let p(k) be the first derivative of r(k). Factor p(h).
-3*h**2*(h - 1)**2*(7*h + 2)
Let y(a) be the third derivative of 25/12*a**4 + 0*a + 17*a**2 - 1/12*a**5 + 0*a**3 + 0. Factor y(b).
-5*b*(b - 10)
Find s, given that 0 - 945*s**2 + 297675/2*s + 3/2*s**3 = 0.
0, 315
Let q be (-119)/(-34)*(-8)/70*-5. Let o(c) be the first derivative of -9/14*c**q - 12 - 1/21*c**3 - 8/7*c. Factor o(a).
-(a + 1)*(a + 8)/7
Let g(j) be the second derivative of -j**5/90 + 91*j**4/54 - 88*j**3/27 - 20*j**2 + 333*j. Determine r so that g(r) = 0.
-1, 2, 90
Let c(z) be the second derivative of -9*z**5/100 - 29*z**4/20 - 9*z**3/5 + 656*z. Let c(s) = 0. What is s?
-9, -2/3, 0
Let v(w) be the second derivative of w**4/72 - 1991*w**3/18 + 3964081*w**2/12 + 2*w - 283. Factor v(k).
(k - 1991)**2/6
Let i(v) = -v**2 - 162*v - 5828. Let p be i(-108). Factor 2/3*a**p - 8/3*a**3 + 4*a**2 + 2/3 - 8/3*a.
2*(a - 1)**4/3
Let m be (-28 + 29)/3*(-30)/(-2). Let p(k) be the third derivative of -12*k**2 + 3/4*k**m + 1/12*k**6 + 0 - 25/24*k**4 + 0*k**3 + 0*k. Factor p(o).
5*o*(o + 5)*(2*o - 1)
Let a(d) = 2*d**2 - 28*d - 69. Let u be a(-7). Suppose -225 = -2*w - u. Let -2*q**3 + w - 4/11*q**2 + 0*q = 0. What is q?
-2/11, 0
Suppose 6 = -14*o + 16*o. Suppose 2*k - 5 = o. Factor -w**5 + 3*w**k - 3*w**2 - w**3 - w - 6*w + 9*w.
-w*(w - 2)*(w - 1)**2*(w + 1)
Let i(v) = 9*v**4 - 37*v**3 - 68*v**2 - 90*v - 38. Let m(d) = -d**4 + 2*d**3 - d - 1. Let r(z) = i(z) + 10*m(z). What is w in r(w) = 0?
-12, -2, -1
Let h(o) = -19*o**3 + 62*o**2 + 125*o - 1140. Let b(s) = 59*s**3 - 187*s**2 - 376*s + 3420. Let x(q) = -8*b(q) - 25*h(q). Determine z, given that x(z) = 0.
-5, 4, 19
Let r = -10/77219 + 77249/231657. Factor i + r*i**2 - 6.
(i - 3)*(i + 6)/3
Let q(o) be the third derivative of -17/24*o**4 - 5/3*o**3 - 7/40*o**5 + 47*o**2 - 1/840*o**7 + 0 - 11/480*o**6 + 0*o. What is k in q(k) = 0?
-5, -2
Let s be (-2278)/(-1326)*-13 - (2 + -25). Factor s*k**3 + 0*k + 0 + 0*k**2.
2*k**3/3
Let u(j) = -j**2 + j - 1. Let g(y) = 3*y**2 + 54*y - 246. Let i(