/5*y**5 + 2*y**3 + 0*y**2. Find b such that m(b) = 0.
-1, -2/7, 0
Let t be -20*(-1)/(-6)*-3. Suppose t = 72*b - 71*b. Factor 9*x**3 - 6*x**2 - 3*x**4 + 10 + b - 20.
-3*x**2*(x - 2)*(x - 1)
Determine f, given that -13/5*f**3 - 1/10*f**5 - 4 - 6/5*f**4 + 27/10*f + 26/5*f**2 = 0.
-8, -5, -1, 1
Let a(o) = -o**3 + 28*o**2 - 32*o - 57. Let j be a(27). Let b = j - -196. Determine v so that 9/5*v + 3*v**2 + 0 + 3/5*v**3 - 3/5*v**b = 0.
-1, 0, 3
Solve 60/19*v**3 + 8/19*v**5 - 88/19*v + 46/19*v**4 + 24/19 - 50/19*v**2 = 0 for v.
-3, -2, 1/4, 1
Let t be ((-36)/(-15))/4*(-243 - -249 - (1 - 0)). Factor -1536 - 195/2*k**2 - 1632*k - 3/2*k**t.
-3*(k + 1)*(k + 32)**2/2
Let z(w) be the second derivative of 0 + 1/30*w**5 - 44*w - 1/9*w**4 - 1/3*w**3 + 0*w**2. Factor z(x).
2*x*(x - 3)*(x + 1)/3
Let b(s) be the second derivative of s**7/126 + 4*s**6/15 + s**5/3 - 37*s**4/18 - 13*s**3/2 - 23*s**2/3 - 3*s - 632. Factor b(n).
(n - 2)*(n + 1)**3*(n + 23)/3
Factor 93/2 + 79*j + 5/2*j**2.
(j + 31)*(5*j + 3)/2
Let h(m) be the third derivative of m**5/15 + 9*m**4/2 + 220*m**3/3 + 1832*m**2. Factor h(j).
4*(j + 5)*(j + 22)
Suppose 143*q = -30*q. Let p(v) be the second derivative of q - 1/40*v**5 + 1/6*v**4 + 24*v - 5/12*v**3 + 1/2*v**2. Factor p(y).
-(y - 2)*(y - 1)**2/2
Factor 1614*w**2 + 2627*w - 1634*w + 996 - 1617*w**2.
-3*(w - 332)*(w + 1)
Let i = 36937/4 + -184673/20. Let -12/5*k**2 + 3*k - 6/5 + i*k**3 = 0. What is k?
1, 2
Let o be 4/(-16)*4*-81. Determine k so that -79*k - o*k + 49*k**2 - 205*k**2 - 7*k**3 - 29*k**3 - 48 = 0.
-3, -2/3
Let g(k) be the second derivative of -19/9*k**3 - 1/72*k**4 + 18 - 361/3*k**2 + 7*k. Let g(d) = 0. What is d?
-38
Let r(y) = y**2 + 55*y + 361. Let h be r(-8). Let q be (-24)/h + 44/(-55). Let -1/5*s**2 - 4/5 - q*s = 0. What is s?
-2
Let g(s) be the first derivative of -s**6/660 - s**5/30 + s**2/2 + 11*s + 185. Let w(i) be the second derivative of g(i). Factor w(d).
-2*d**2*(d + 11)/11
Let o(c) = -c**2 + 6*c - 8. Let k be o(7). Let z be (52/65)/((-32)/k - 2). Determine a, given that -2*a - z*a + 3*a**2 + 2*a**2 - 2*a = 0.
0, 2
Let w(r) be the first derivative of -4*r**5/5 - 22*r**4 - 208*r**3 - 756*r**2 - 972*r + 1158. Factor w(q).
-4*(q + 1)*(q + 3)*(q + 9)**2
Let b(r) be the second derivative of r**4/4 + 137*r**3 + 819*r**2/2 - 1014*r. Factor b(l).
3*(l + 1)*(l + 273)
Let k be (1 - 3) + 775/372. Let x(w) be the second derivative of -3/2*w**2 + 0 + k*w**5 + 4*w - 31/36*w**4 + 17/6*w**3. Suppose x(o) = 0. What is o?
1/5, 3
Let n(d) be the third derivative of d**5/105 - 32*d**4/7 + 6144*d**3/7 + 1197*d**2. What is m in n(m) = 0?
96
Let g(r) be the first derivative of -12*r**5/5 + 87*r**4/4 + 33*r**3 - 111*r**2 + 48*r + 5417. Suppose g(p) = 0. Calculate p.
-2, 1/4, 1, 8
Let b(z) be the first derivative of 2*z**3/39 + 1728*z**2/13 + 3454*z/13 + 380. Let b(k) = 0. Calculate k.
-1727, -1
Let r = 70 - 65. Suppose 5*m - 8 = -w, -4*w + 0*w + 2 = r*m. Factor 191*c**m + 189*c**2 - 376*c**2 - 5*c - 7*c.
4*c*(c - 3)
Let a(h) be the second derivative of -1/63*h**7 - 4*h**2 + 1/15*h**6 - 3/2*h**4 - 2*h + 32/9*h**3 + 1/6*h**5 - 68. What is d in a(d) = 0?
-3, 1, 2
Factor 2/7*g**4 + 24/7*g**3 + 40/7*g**2 + 0 + 0*g.
2*g**2*(g + 2)*(g + 10)/7
Solve -32/15*n**2 + 14/3*n + 104/15 + 2/15*n**3 = 0.
-1, 4, 13
Let u(a) be the second derivative of a**4/16 + 63*a**3/8 - 255*a**2/2 + 9*a + 38. Suppose u(b) = 0. What is b?
-68, 5
Solve -219/5*g**2 - 81/5*g**4 + 0 - 318/5*g**3 + 18/5*g = 0 for g.
-3, -1, 0, 2/27
Let p be 384/240 - (-311)/(-195). Let h(v) be the second derivative of 0 + 5/26*v**4 + 17/39*v**3 + 3/130*v**5 + 6/13*v**2 - p*v**6 - 8*v. Factor h(l).
-2*(l - 6)*(l + 1)**3/13
Let v = 293 - 196. Let l = -49 + v. Suppose -5*t**3 + 32*t - 27*t**3 + 16*t**4 - 60*t**2 + l*t**4 - 4 = 0. What is t?
-1, 1/4, 1
Let z be 14/20*75/(-7875)*-30. Suppose -4*c + 19 = 3*m, 0 = m - 2*m - 5*c + 21. Suppose -3/5*l**2 - 9/5*l + z*l**3 - m = 0. What is l?
-1, 5
Let m(n) be the first derivative of -4*n**3/9 - 166*n**2/3 - 320*n + 4414. Factor m(y).
-4*(y + 3)*(y + 80)/3
Let l(j) be the first derivative of -j**6/30 + 2*j**5/15 - j**4/6 + 13*j**2/2 + 96. Let u(f) be the second derivative of l(f). Factor u(i).
-4*i*(i - 1)**2
Determine h, given that -126 - h**3 + 5343*h**2 - 2683*h**2 - 2650*h**2 - 3*h = 0.
-3, 6, 7
Factor -1755675*x**2 - 447697125/4*x**3 - 16 - 9180*x.
-(765*x + 4)**3/4
Suppose -8*u = -49 + 17. Factor 2*k**u - 67*k**3 + 3*k**4 + 47*k**3.
5*k**3*(k - 4)
Let f(v) = 14*v**4 + 505*v**3 - 844*v**2 + 77*v + 233. Let h(p) = 21*p**4 + 758*p**3 - 1265*p**2 + 116*p + 349. Let r(y) = -7*f(y) + 5*h(y). Factor r(g).
(g - 1)**2*(g + 38)*(7*g + 3)
Let g = -196633/7 + 28093. Let 3/7*a**2 + 15/7 - g*a = 0. Calculate a.
1, 5
Let m(s) be the second derivative of s**6/20 + 83*s**5/120 - 4*s**4 + 37*s**3/9 + 4*s**2 - 4908*s. Find h such that m(h) = 0.
-12, -2/9, 1, 2
Factor -911689*x - 750*x**3 + 28125*x**2 + 5*x**4 + 911689*x.
5*x**2*(x - 75)**2
Let z = -1305595/3 - -435201. Let -26/3*j**2 - z - 80/9*j - 2*j**3 = 0. What is j?
-3, -2/3
Let i(x) be the first derivative of -x**5 - 285*x**4/4 + 655*x**3 + 4765*x**2/2 + 2520*x + 1587. Factor i(s).
-5*(s - 8)*(s + 1)**2*(s + 63)
Let u(s) be the first derivative of s**4/10 - 104*s**3/5 + 5589*s**2/5 + 78732*s/5 - 1578. Factor u(r).
2*(r - 81)**2*(r + 6)/5
Suppose 17*w - 11948 = -11897. Let x(q) be the third derivative of 0*q**4 + 2/45*q**5 - 1/45*q**6 - 9*q**2 + 0*q + 0*q**w + 1/315*q**7 + 0. Factor x(h).
2*h**2*(h - 2)**2/3
Factor 80 - 12/7*a - 2/7*a**2.
-2*(a - 14)*(a + 20)/7
Let x(q) = -q**3 + 2*q**2 + 21*q - 2. Let z(u) = -4*u**3 - 73*u**2 + 357*u - 350. Let c(j) = -x(j) + z(j). Factor c(w).
-3*(w - 2)**2*(w + 29)
Suppose -88*g + 69 = -153*g + 88*g. Let b(c) be the second derivative of 7/24*c**4 + g*c + 5/12*c**3 + 0 - 1/2*c**2. Find k such that b(k) = 0.
-1, 2/7
Let x(t) be the second derivative of t**5/5 + t**4 - 26*t**3/3 - 30*t**2 + 81*t - 19. Factor x(m).
4*(m - 3)*(m + 1)*(m + 5)
Let m(t) be the first derivative of -t**4 + 32*t**3 - 168*t**2 + 320*t + 109. Solve m(o) = 0.
2, 20
Suppose -68 = -17*m + 68. Find r, given that 20*r**2 + 32 - 34*r + m*r**2 - 26*r**2 = 0.
1, 16
Let z(p) be the first derivative of 84 - 8/19*p**2 - 1/38*p**4 - 8/19*p - 10/57*p**3. Factor z(t).
-2*(t + 1)*(t + 2)**2/19
Let -2800/3*a + 1184/3*a**3 - 1892/3*a**4 + 256/3 - 121/3*a**5 + 7504/3*a**2 = 0. Calculate a.
-16, -2, 2/11, 2
Suppose -5*p + 131 = 5*n + 91, -3*n + 24 = -2*p. Factor -2/9*o**4 + p - 38/9*o**2 - 22/9*o**3 - 2*o.
-2*o*(o + 1)**2*(o + 9)/9
Let k(x) be the third derivative of -1/255*x**5 - 46*x**2 + 0*x**3 + 0*x - 1/1020*x**6 + 1/68*x**4 - 4. Factor k(s).
-2*s*(s - 1)*(s + 3)/17
Let i(m) = 3*m**3 - 4*m**2 - 7*m + 2. Let b be i(3). Factor -4*l**2 - 7*l**3 - b*l + 38*l - 12 + 13*l**2 - 5*l**3 + 3*l**4.
3*(l - 2)**2*(l - 1)*(l + 1)
Let r(t) = t**2 - 11 + 1312*t + 1 - 2 - 1291*t. Let f be r(-22). Solve -10*k**4 + 15*k**4 + 15*k**3 - 15*k**2 + 5*k - f*k**4 = 0 for k.
0, 1
Let h = -25227 + 25230. Let y(p) be the first derivative of p**4 + 4/3*p**h + 12 + 2*p - 3*p**2 - 6/5*p**5 + 1/3*p**6. Factor y(c).
2*(c - 1)**4*(c + 1)
Let c(h) be the third derivative of -h**10/352800 - h**9/70560 + h**8/15680 + 11*h**5/4 - 2*h**2 - 34. Let b(j) be the third derivative of c(j). Factor b(w).
-3*w**2*(w - 1)*(w + 3)/7
Let t be 2466/(-24) + (-5 - -4). Let z = t - -104. Suppose 0 + z*b + 1/2*b**2 = 0. Calculate b.
-1/2, 0
Factor 60*u**3 + 75*u**3 + 45*u - 24*u**2 - 132*u**3.
3*u*(u - 5)*(u - 3)
Factor 0*f**2 + 1/6*f**5 - 35/6*f**3 + 0 + 0*f + 1/3*f**4.
f**3*(f - 5)*(f + 7)/6
Let p(l) = 2*l**3 + 5*l**2 + 3*l + 4. Let f be p(-2). Let -100*g + 434*g**2 - 494*g**f - 47*g**4 - g**4 - 320*g**2 - 256*g**3 = 0. Calculate g.
-5/2, -1/3, 0
Let c(w) be the third derivative of -29*w**7/6720 - w**6/480 + w**4/24 + 7*w**3/6 + 90*w**2 - 1. Let o(x) be the second derivative of c(x). Factor o(s).
-3*s*(29*s + 4)/8
Suppose 2663*q - 2660*q + 24 = -2*h, -5*h = -2*q + 60. Factor q*k**3 + 0 - 1/4*k**5 - 1/4*k**4 + 0*k**2 + 0*k.
-k**4*(k + 1)/4
Factor -328/3*c + 79/3*c**2 + 1/3*c**3 + 332/3.
(c - 2)**2*(c + 83)/3
Suppose 0 = 3*z + 5*a + 32, -5*z - 2*a - 18 = 29. Let u be (z - -1)*(-11)/22. Suppose 937 + 2*v**2 + 4*v**3 - 4*v - 2*v**u - 937 = 0. What is v?
-1, 0, 1, 2
Let j be 1 +