j - 120. Let v(h) be the first derivative of m(h). Factor v(p).
-3*p*(p + 1)*(p + 5)/2
Suppose -7 = f + 3*x - 28, -2*x = 5*f - 40. Solve 871 + f*l - 871 - l**2 = 0.
0, 6
Let y(o) be the first derivative of o**4/16 + 41*o**3/12 + 475*o**2/8 + 1083*o/4 + 2673. Determine n so that y(n) = 0.
-19, -3
Let q(v) be the third derivative of 1/3*v**3 + 0*v - 103*v**2 - 5/18*v**4 + 1/45*v**6 + 0 - 1/10*v**5. Factor q(h).
2*(h - 3)*(h + 1)*(4*h - 1)/3
Let z = -170 + 181. Factor -18*t**2 - z + 121 - 65*t + 23*t**2.
5*(t - 11)*(t - 2)
Let z = -56 + 64. Suppose -z*n - 516 + 1764 = 0. Determine f, given that -191*f**3 + 60*f + 10*f**2 - 19 + 5*f**5 - 21 + n*f**3 = 0.
-2, 1, 2
Factor 1816/3 - 446/3*h - 2/3*h**2.
-2*(h - 4)*(h + 227)/3
Let i(t) be the first derivative of -19 + 2/65*t**5 + 5/26*t**4 + 0*t + 0*t**2 + 0*t**3. Suppose i(p) = 0. Calculate p.
-5, 0
Let w(b) be the first derivative of -5*b**4/4 + 55*b**3/3 + 465*b**2/2 + 765*b - 74. Factor w(t).
-5*(t - 17)*(t + 3)**2
Let w(k) be the third derivative of k**8/896 - 409*k**7/1680 + 1751*k**6/120 - 289*k**5/30 - 1101*k**2. Determine h, given that w(h) = 0.
0, 1/3, 68
Let a be -18*(9/((-243)/6))/((-8)/(-48)). Let v(b) be the second derivative of -25/3*b**3 + 20*b**2 - a*b + 5/4*b**4 + 0. Factor v(j).
5*(j - 2)*(3*j - 4)
Let x(z) = -z**3 - 9*z**2 + 11*z + 9. Let o be x(-10). Let g be 177/9*(o + 7). Find d such that 3*d**2 - 118*d - 3 + g*d = 0.
-1, 1
Let g = 426 + -423. Let -25*v + 5*v**5 + 4*v**4 - 6*v**4 + 10 + 10*v**2 + v**4 + 20*v**3 - g*v**4 - 16*v**4 = 0. Calculate v.
-1, 1, 2
Let m(s) be the second derivative of -1/15*s**6 - 4/3*s**3 + 52*s + 0 + 0*s**2 + 31/40*s**5 - 7/3*s**4. Find i such that m(i) = 0.
-1/4, 0, 4
Let y(n) = 2*n**5 - n**2 - 4*n - 1. Let k(g) = -2*g**5 - 4*g**4 - 148*g**3 + 151*g**2 + 156*g - 141. Let u(q) = k(q) + 3*y(q). Let u(c) = 0. Calculate c.
-6, -1, 1, 6
Let v(s) be the second derivative of s**6/60 - 28*s**5/5 + 2053*s**4/4 + 6328*s**3/3 + 12769*s**2/4 + 555*s. Factor v(x).
(x - 113)**2*(x + 1)**2/2
Let q(o) = 3230*o**2 + 38761*o + 14. Let j be q(-12). Let -6*y - 3/2*y**j + 6*y**3 + 0 + 3/2*y**4 = 0. Calculate y.
-4, -1, 0, 1
Let q be ((-185)/30 + 6)/(-6 + 567/96). Factor q*c - 32/9 - 2/9*c**2.
-2*(c - 4)**2/9
Suppose -5*g + 20 = 0, -3*g = 5*m - 7*g - 9. Let f = -2 + m. What is n in -14/3*n**f - 11/3*n**2 + 2/3 + 5/3*n = 0?
-1, -2/7, 1/2
Let t(v) be the second derivative of -v**5/55 + 49*v**4/66 - 262*v**3/33 + 119*v**2/11 - 801*v. Suppose t(a) = 0. What is a?
1/2, 7, 17
Let v(r) be the first derivative of -r**5 - 55*r**4/4 + 605*r**3/3 + 6655*r**2/2 - 2885. Factor v(s).
-5*s*(s - 11)*(s + 11)**2
Let z(b) be the second derivative of b**6/120 + 53*b**5/40 + 13*b**4/6 - 53*b**3/12 - 105*b**2/8 - 314*b. Find i such that z(i) = 0.
-105, -1, 1
Let r(a) = -12*a**2 + 428*a + 440. Let f(o) = -14*o**2 + 428*o + 442. Let c(s) = 4*f(s) - 5*r(s). Factor c(d).
4*(d - 108)*(d + 1)
Let x be 43/(-30) - 19569/(-10674). Factor -2/3*p + 4/15 + x*p**2.
2*(p - 1)*(3*p - 2)/15
Let k be (-53)/(2173/(-1476)) + -30 + (-2)/(-2)*-3. Let -8/3*x**k - 2/3*x**2 + 2/3*x**4 + 8/3*x + 0 = 0. What is x?
-1, 0, 1, 4
Factor 33*r**2 + 782*r - 113*r**2 + 40*r**2 + 38*r**2.
-2*r*(r - 391)
Let m be 0*6*(-11)/66*(0 + 1). Let v(t) be the third derivative of 0 + 1/40*t**5 - 1/240*t**6 - 15*t**2 + 0*t**3 + m*t**4 + 0*t. Find u such that v(u) = 0.
0, 3
Solve -204*u**2 + 256320/7*u + 2/7*u**3 - 506944/7 = 0 for u.
2, 356
Let b = 156 - 153. Solve 1070*g**5 - 528*g**5 - 537*g**5 + 5*g - 10*g**b = 0.
-1, 0, 1
Let h be 1 + ((-7)/21*1)/((-2)/24). Let i(a) be the second derivative of 0 + 6*a - 7/130*a**h + 0*a**2 - 2/13*a**3 + 23/78*a**4. Factor i(l).
-2*l*(l - 3)*(7*l - 2)/13
Let o(x) be the third derivative of -x**9/756 + x**8/168 - x**7/140 + 14*x**3/3 - x**2 + 2*x. Let u(k) be the first derivative of o(k). Factor u(i).
-2*i**3*(i - 1)*(2*i - 3)
Let h = 39369/24590 - 5/4918. Factor 198/5*m**4 + 112/5*m**2 + 0 - h*m - 282/5*m**3.
2*m*(3*m - 2)**2*(11*m - 1)/5
What is w in 196 - 727/2*w + 279/2*w**2 + 55/2*w**3 + 1/2*w**4 = 0?
-49, -8, 1
Let s(r) = -13*r - 15. Let t(v) = -7*v - 8. Let m(b) = 6*s(b) - 11*t(b). Let x be m(-4). Find n, given that 4*n + 5*n - 1 - 4*n**x - 14*n = 0.
-1, -1/4
Let j be (49/30 - 189/126) + 8/(-150). Let g(x) be the first derivative of -32/5*x + j*x**5 + 4/5*x**4 + 2*x**3 - 8/5*x**2 - 16. Factor g(b).
2*(b - 1)*(b + 1)*(b + 4)**2/5
Solve 47*f**2 - 35*f**3 - 12*f**4 + 28*f**2 - 48*f - f**3 + 16*f**2 + 4*f**5 + f**2 = 0.
-3, 0, 1, 4
Let a(d) = d**3 + 6*d - 9. Let f(x) = -x**3 + 252*x**2 - 480*x - 18. Let q(j) = -2*a(j) + f(j). Factor q(s).
-3*s*(s - 82)*(s - 2)
Let w be ((-1 - -2)/3)/((-34)/(-612)). Factor 24*z**2 - w*z**3 + 48*z - 72 + 3*z**3 + 18*z + 0*z**2 - 15*z**2.
-3*(z - 6)*(z - 1)*(z + 4)
Let k = 1/16849 + 16840/151641. Let n(c) be the first derivative of 0*c + 4/27*c**3 - k*c**2 + 32 - 1/18*c**4. Factor n(j).
-2*j*(j - 1)**2/9
Let k(z) be the third derivative of 0 + 11/6*z**5 - 337*z**2 - 115/24*z**4 + 1/24*z**6 + 0*z**3 + 0*z. Factor k(h).
5*h*(h - 1)*(h + 23)
Let u = 415 + -23656/57. Let h = 109/285 - u. Factor 2/5*b - 2/5*b**2 + h*b**4 + 0 - 2/5*b**3.
2*b*(b - 1)**2*(b + 1)/5
Let x(t) be the second derivative of 2*t**7/1575 - t**6/150 + 3*t**5/200 + 2*t**4/3 + t**2 + t + 71. Let c(g) be the third derivative of x(g). Factor c(q).
(4*q - 3)**2/5
Let l = -549 - -710. Factor 298 + 8*s - 146 - l + s**2.
(s - 1)*(s + 9)
Let o(b) be the third derivative of b**7/168 + 5*b**6/72 - b**5/4 - 39*b**3 + 126*b**2. Let z(j) be the first derivative of o(j). Suppose z(r) = 0. What is r?
-6, 0, 1
Let u(w) = 99*w**3 - 144*w**2 - 315*w - 87. Suppose -5*x - 240 = -21*x. Let t(f) = -25*f**3 + 36*f**2 + 79*f + 22. Let o(j) = x*t(j) + 4*u(j). Factor o(y).
3*(y - 3)*(y + 1)*(7*y + 2)
What is u in -7848 - 3748 + 82*u**4 - 8393*u + 1228 - 6642*u**2 - 6152*u - 1871*u - 510*u**3 - 2*u**5 = 0?
-3, -1, 24
Let y be (12 - (-1170)/(-91))/((-2)/(-28)). Let v be (-3)/5*3/y*4. Factor v*u**2 - 18/5 + 3/5*u.
3*(u - 2)*(u + 3)/5
Let d be 12/18 + (-164)/(-6). Let t = d + -5. Factor -48 + 16 - 6*n + t + n**2 - 2*n**2.
-(n + 3)**2
Let w be 0/(2 - (-9)/(-3)). Suppose -4*g - 8 + 20 = w. Factor 24*h**3 - 2 + h - 11*h**g + 3*h**2 - 14*h**3 - h**4.
-(h - 1)**2*(h + 1)*(h + 2)
Let r(i) be the first derivative of i**3/5 + 69*i**2/10 + 1919. Factor r(m).
3*m*(m + 23)/5
Let k = -589 - -639. Suppose -k*v + 26*v = 0. Factor -6/7*w + 3/7*w**2 + 6/7*w**3 + v - 3/7*w**4.
-3*w*(w - 2)*(w - 1)*(w + 1)/7
Let n = -6572 - -6577. Suppose -2*u = 4 - 16. Let -s**2 + n - u - 3 - 5*s = 0. Calculate s.
-4, -1
Let n(d) = 5*d**3 - 53*d**2 + 672*d - 3328. Let a(r) = 21*r**3 - 214*r**2 + 2688*r - 13311. Let h(y) = -4*a(y) + 17*n(y). Determine k so that h(k) = 0.
14, 17
Let h be 7 + ((-1522)/231 - -1). Let o = h + -6/77. Factor -4/3*f**5 + 0 + 0*f + 0*f**2 + 0*f**3 + o*f**4.
-4*f**4*(f - 1)/3
Suppose 30*p + 12643 = -4637. Let g be p/(-128) + (-41)/10. Factor -16/5*v**2 + 24/5*v**3 - 12/5*v**4 + 0 + g*v**5 + 0*v.
2*v**2*(v - 2)**3/5
Let d(u) be the first derivative of 2/45*u**5 - 46 + 1/9*u**2 + 0*u - 1/18*u**4 - 2/27*u**3. Factor d(o).
2*o*(o - 1)**2*(o + 1)/9
Let z(y) be the first derivative of -y**4/10 - 2*y**3/15 + 2*y**2/5 + 760. Factor z(v).
-2*v*(v - 1)*(v + 2)/5
Factor -2*i**4 - 187*i**3 - 11*i**3 - 4998*i**2 + 4480*i - 9282*i.
-2*i*(i + 1)*(i + 49)**2
Suppose 5*c + 5*g - 652 = -632, c + 2*g = 4. Let z(h) be the second derivative of -5/3*h**3 + 5/12*h**c + 0 - 22*h + 5/2*h**2. Determine d so that z(d) = 0.
1
Suppose 17 + 27 - 19*z**3 + 75*z**2 + 16136*z - 8 - 16228*z = 0. Calculate z.
18/19, 1, 2
Let f(g) be the third derivative of -g**5/390 + 175*g**4/156 + 1856*g**2. Solve f(t) = 0 for t.
0, 175
Let i = -13228 - -158737/12. Let v(g) be the second derivative of 9/2*g**2 + i*g**4 - 19*g - g**3 + 0. Factor v(h).
(h - 3)**2
Let m(z) be the second derivative of 7*z**6/1800 + 37*z**5/600 + z**4/12 - 61*z**3/6 - 15*z. Let a(r) be the second derivative of m(r). What is b in a(b) = 0?
-5, -2/7
Let w(o) be the first derivative of -219*o**5/5 - 1965*o**4/2 - 5841*o**3 + 486*o**2 + 2777. Determine a, given that w(a) = 0.
-9, 0, 4/73
Determine f so that 400/17*f - 2/17*f**3 + 20/17*f**2 + 0 = 0.
-10, 0, 20
Let z be 455/(67340/10656)*(-2)/(-27). Let -8/3*s - z*s**