/4 + 361*p**3/3 - 2*p**2 + 8. Factor f(v).
-2*(v - 19)**2*(v - 1)
Let m be 20/9*(-4218)/(-2812). Solve 6*w + m*w**3 + 8*w**2 + 4/3 = 0 for w.
-1, -2/5
Let n(w) be the second derivative of 7*w + 2/5*w**3 + 8/5*w**2 - 1/10*w**4 - 1/50*w**5 + 20. Determine j so that n(j) = 0.
-4, -1, 2
Suppose 0 - 648/7*a**3 - 14*a + 72*a**2 = 0. Calculate a.
0, 7/18
Let -20 - 2/7*x**3 + 20/7*x**2 + 122/7*x = 0. Calculate x.
-5, 1, 14
Let f = 5810 - 5782. Let m(b) be the first derivative of 27 + 24*b + f*b**2 - 10/3*b**3. Factor m(n).
-2*(n - 6)*(5*n + 2)
Let t(w) be the third derivative of 5/6*w**4 + 0*w**3 - 1/15*w**5 + 0 + 66*w**2 + 0*w. Factor t(q).
-4*q*(q - 5)
Let u be 510/24 - (1/6 - 4719/2178). Solve u*n**3 + 0*n + 0 - 9/2*n**4 - 15/4*n**2 = 0.
0, 1/6, 5
Factor 0 + 1152/5*b - 96/5*b**2 + 2/5*b**3.
2*b*(b - 24)**2/5
Let u(o) be the first derivative of o**6/2 + 12*o**5/5 - 3*o**4/2 - 12*o**3 + 27*o**2/2 - 1081. Solve u(i) = 0 for i.
-3, 0, 1
Determine g, given that 7/4*g + 9/2 - 1/4*g**2 = 0.
-2, 9
Let d(y) = 6*y**2 + 29*y - 3. Let j be d(-5). Let -1296 + 655*o - 170*o**j - 1418*o**2 + 152*o**3 - 4*o**4 + 2081*o = 0. What is o?
1, 18
Let m(q) be the second derivative of q**7/231 - 32*q**6/165 + 229*q**5/110 - 3*q**4 - 2010*q. Find r such that m(r) = 0.
0, 1, 9, 22
Solve -2/15*m**2 - 2*m - 28/15 = 0 for m.
-14, -1
Suppose 3*a = 2*q + 22, a = q + 252 - 242. Let n(w) be the second derivative of 1/9*w**4 - 4/3*w**3 - 10 + 0*w**a + 2*w. Factor n(d).
4*d*(d - 6)/3
Suppose 15571*a - 15714*a = -429. Factor -87/5*s + a*s**2 - 18/5.
3*(s - 6)*(5*s + 1)/5
Let i = -866 - -823. Let n be i/(-129)*-1*2*-3. Suppose 27/2*v**3 + 15/2*v**n - 21/2*v**4 - 27/2*v + 3 = 0. What is v?
-1, 2/7, 1
Find s such that 2715*s - 2652*s + 3*s**2 - 155 - 391 + 60 = 0.
-27, 6
Let r be -8*((-45)/270)/((-92)/36 - -3). Factor -14/5 + 6/5*w**2 + 9/5*w - 1/5*w**r.
-(w - 7)*(w - 1)*(w + 2)/5
Determine n so that 3 + 3/8*n**2 - 19/4*n - 1/8*n**4 + 3/2*n**3 = 0.
-2, 1, 12
Let h = 43 + 5. Factor -a - 26*a**3 + a**3 + 15*a**3 - h*a**2 + a + 2*a**4.
2*a**2*(a - 8)*(a + 3)
Let q(p) be the second derivative of -p**4/6 - 4*p**3/3 + 165*p**2 + 714*p. Suppose q(s) = 0. What is s?
-15, 11
Let d(x) be the second derivative of -x**5/50 - 689*x**4/30 - 119024*x**3/15 - 118336*x**2/5 + 1272*x. Factor d(g).
-2*(g + 1)*(g + 344)**2/5
Suppose -497 = -422*d + 51*d + 987. Find n, given that -4/7*n**5 - 36/7*n**3 - 8/7*n - 20/7*n**4 + 0 - d*n**2 = 0.
-2, -1, 0
Let c = -29054/175 - -1163/7. Let b(q) be the first derivative of 1/4*q**4 + 0*q + c*q**5 + 25 - 4/15*q**3 - 2/5*q**2. Factor b(i).
i*(i - 1)*(i + 2)*(3*i + 2)/5
Let r = -766738 - -766740. Suppose -2/3*l**r - 1922/3 + 124/3*l = 0. What is l?
31
Let a(n) be the first derivative of n**5/360 + n**4/18 - n**3/4 + 21*n**2/2 + n - 55. Let m(s) be the second derivative of a(s). Factor m(z).
(z - 1)*(z + 9)/6
Suppose 5*p - 10 = 0, 4*q - q + 22 = 2*p. Let t be (11 - 8)*(-4)/q. Factor -8 - 4*d**t + 0*d - 3*d + 5*d + 10*d.
-4*(d - 2)*(d - 1)
Suppose -28*h + 4680 = -2*h. Let o be (-10)/(-44)*144/h. Factor 0*l**2 - 2/11*l + o*l**3 + 0.
2*l*(l - 1)*(l + 1)/11
Let w(m) = -m**2 - m + 4. Let n(o) = -10*o**2 - 435*o + 455. Let p(g) = -n(g) + 5*w(g). What is f in p(f) = 0?
-87, 1
Let s(q) be the second derivative of q**4/16 + 51*q**3/4 - 78*q**2 - 2*q - 1047. Factor s(i).
3*(i - 2)*(i + 104)/4
Suppose -69*y = -225*y. Let a be ((-6)/(-28))/(36/48). Let y + 18/7*m + a*m**3 + 12/7*m**2 = 0. Calculate m.
-3, 0
Let a(f) be the second derivative of f**4/20 + 1023*f**3/10 + 3866*f. Factor a(o).
3*o*(o + 1023)/5
Let l = 193/70 - 93/70. Determine g so that 6/7*g**2 - 4/7*g**4 - 8/7 - l*g**3 + 16/7*g = 0.
-2, 1/2, 1
Let u(s) = -20*s**2 - 32*s + 15. Let k(a) = -58*a**2 - 95*a + 45. Let w(j) = 6*k(j) - 17*u(j). Factor w(y).
-(2*y - 1)*(4*y + 15)
Let t(a) = 24*a - 75. Let s be t(8). Factor -2*q**2 - 4*q**3 + 4500 + 190*q**2 + s*q**2 + 4800*q + 9*q**3.
5*(q + 1)*(q + 30)**2
Let k be 1/(1 - 0) - 7/(-1). Suppose 0 = -2*g + k, -6*z + 2*z + 28 = 3*g. Factor a**5 - 2*a - a**z + 0*a - 2*a**2 + 3*a**4 + a.
a*(a - 1)*(a + 1)**3
Let f be ((-16)/(-28))/(4/14). Factor 347*h**3 + 2*h**4 + 20*h**f - 352*h**3 - 7*h**4 + 20*h.
-5*h*(h - 2)*(h + 1)*(h + 2)
Let s(b) be the third derivative of 0 - 1/8*b**4 + 74*b**2 - 5/32*b**6 + 0*b + 0*b**3 - 1/4*b**5. Factor s(v).
-3*v*(5*v + 2)**2/4
Let z = 149 + -145. Determine u, given that -12*u**5 + 3*u**z + 24*u + 244*u**3 + 236*u**2 - 16*u**5 - 32 + 33*u**4 = 0.
-1, 2/7, 4
Let a(l) = 2*l**2 + 76*l + 485. Let h be a(-8). Let j(s) be the first derivative of -1/12*s**4 + 1/45*s**h + 1/27*s**3 + 4 + 1/6*s**2 - 2/9*s. Factor j(u).
(u - 2)*(u - 1)**2*(u + 1)/9
Let q(r) be the third derivative of r**6/90 + 2*r**5/15 - 2*r**4 + 17*r**3/6 - 34*r**2. Let a(z) be the first derivative of q(z). Factor a(b).
4*(b - 2)*(b + 6)
Let g(h) = -h**2 - 940*h + 921. Let n(w) = -w**2 - w + 12. Let i(y) = -g(y) - 2*n(y). Factor i(v).
3*(v - 1)*(v + 315)
Let g(w) be the third derivative of w**8/84 + 2*w**7/21 - w**6/6 - 5*w**5/3 + 20*w**4/3 - 32*w**3/3 - 211*w**2 + 3. Factor g(t).
4*(t - 1)**3*(t + 4)**2
Suppose 0 = -3*n + 3*o - 9 + 54, 4*o = n - 21. Suppose -4*x - 1 + n = 0. Find y, given that 2/3*y**2 - 2/3*y**x + 0*y + 0 = 0.
0, 1
Let s(r) be the third derivative of -2*r**7/105 - 17*r**6/15 - 128*r**5/5 - 767*r**4/3 - 2366*r**3/3 - 38*r**2 + 12. Factor s(u).
-4*(u + 1)*(u + 7)*(u + 13)**2
Let t be -23 - -25 - (-14)/(-6) - ((-6149)/(-273) - 25). Find b, given that -t*b**2 + 10/7*b - 1/7*b**4 + 16/7 - 10/7*b**3 = 0.
-8, -2, -1, 1
Suppose -16*n = -93 + 29. Let d be (-469)/(-134) - 14/n. Factor -1/6*t**5 + 0*t**2 + 0 + d*t**4 + 0*t + 1/6*t**3.
-t**3*(t - 1)*(t + 1)/6
Let s(x) be the third derivative of -17*x**5/240 + 385*x**4/32 + 17*x**3/6 - 5110*x**2. Let s(w) = 0. Calculate w.
-1/17, 68
Suppose -3*u - 2*y + 67 - 10 = 0, 0 = 2*u + 2*y - 40. Find o such that 32*o**3 - 32*o - 64 + 42*o**2 + 35*o**2 + 0*o**4 + 4*o**4 - u*o**2 = 0.
-4, -1, 1
Let b(f) = -565*f + 93. Let v be b(3). Let z = v - -6435/4. Factor 15/8*j**3 - z*j**2 - 9/4 + 57/8*j.
3*(j - 2)*(j - 1)*(5*j - 3)/8
Suppose 0*q + 16 = 4*q. Let u = 2014 + -2011. Determine w, given that w + u*w + 2 - q + 4 + 2*w**2 = 0.
-1
Let f(l) be the first derivative of -361/3*l**3 - 204*l**2 - 75/4*l**4 + 44 - 144*l + 21/5*l**5 - 1/6*l**6. Solve f(a) = 0.
-1, 12
Let b(c) be the first derivative of -3*c**4/4 - 16*c**3 - 4782. Factor b(a).
-3*a**2*(a + 16)
Let q(n) = -n - 8. Let s be q(-9). Let k be s + (-5)/3 - 143/(-39). Factor 25*u**4 - 19*u**4 - 3*u**5 + 0*u**3 - k*u**3 + 0*u**5.
-3*u**3*(u - 1)**2
Let j(c) be the first derivative of -c**5 - 15*c**4/4 + 10*c**3 + 20*c**2 - 2824. Factor j(d).
-5*d*(d - 2)*(d + 1)*(d + 4)
Let y(s) be the second derivative of -s**7/14 - s**6 - 51*s**5/10 - 13*s**4 - 37*s**3/2 - 15*s**2 - 2954*s. Factor y(t).
-3*(t + 1)**3*(t + 2)*(t + 5)
Let m(i) be the first derivative of 3/20*i**5 + 0*i**3 + 120 + 0*i**2 + 0*i - 9/16*i**4. Let m(t) = 0. What is t?
0, 3
Let z = 152 - 147. Let w(i) = 3*i**2 - 26*i + 46. Let m(s) = -3*s**2 + 27*s - 48. Let v(a) = z*m(a) + 6*w(a). Determine y so that v(y) = 0.
3, 4
Factor -2/5*p**3 + 17/5*p**2 - 4*p - 15.
-(p - 5)**2*(2*p + 3)/5
Let c(o) be the second derivative of o**7/42 + 6*o**6/5 + 163*o**5/20 + 21*o**4 + 62*o**3/3 + 1412*o. Suppose c(h) = 0. What is h?
-31, -2, -1, 0
Suppose -w + 3*b = 10, -b + 22 = 5*w + 2*b. Suppose 11*t + 1 = 45. Factor 5 + w*p - t*p - 18*p**2 + 2*p**3 - 3 + 16*p**2.
2*(p - 1)**2*(p + 1)
Let k(n) be the second derivative of 13/21*n**4 + 0*n**2 + 0 - 23/35*n**5 + 6/49*n**7 - 16*n - 4/21*n**3 + 2/35*n**6. Find r such that k(r) = 0.
-2, 0, 1/3, 1
Suppose 722500/3 + 1/3*f**2 + 1700/3*f = 0. Calculate f.
-850
Let p(c) = 4*c**3 - 2*c**2 + 5*c - 4. Let a be p(1). Suppose -2 + 4*f**a + 2*f**2 - f**5 + 447*f**4 - 220*f**4 - 227*f**4 - 3*f = 0. What is f?
-1, 1, 2
Suppose 5 = -3*l + 8. Factor -6*n**2 - 1 + 3*n - 2 - 17*n - l.
-2*(n + 2)*(3*n + 1)
Find f, given that -3/5*f**4 - 78*f + 0 - 384/5*f**3 + 777/5*f**2 = 0.
-130, 0, 1
Let c be 91/((-273)/(-24)) - (-5)/((-5)/6). What is t in 0*t + 0 - 1/5*t**4 + 9/5*t**3 - 14/5*t**c = 0?
0, 2, 7
Suppose 64/7 - 1992/7*d**2 + 464/7*d + 1980/7*d**3 - 54*d**4 = 0. Calculate d.
-2/21, 2/3, 4
Let g(o) be the third derivative of o**7/735 