 the first derivative of -51 + 2/33*i**3 - 12/11*i**2 + 40/11*i. Factor n(w).
2*(w - 10)*(w - 2)/11
Let k(j) = -5*j**2 - 3*j - 5. Let m(r) = 3*r**2 + 2*r + 3. Let z = 29 - 21. Suppose -z*u + 36 = u. Let o(q) = u*k(q) + 7*m(q). Solve o(a) = 0 for a.
-1
Let p(g) be the second derivative of 9*g**5/8 + 7*g**4 + 185*g**3/12 + 25*g**2/2 + 55*g - 2. Let p(s) = 0. What is s?
-5/3, -2/5
Suppose -485/3*c**3 - 1960/3 + 1940/3*c + 170*c**2 - 5/3*c**4 = 0. Calculate c.
-98, -2, 1, 2
Let q(k) be the third derivative of 2/245*k**7 - 4/35*k**5 + 0*k**4 - 10*k**2 + 0*k + 9/40*k**6 + 0 + 0*k**3. Factor q(f).
3*f**2*(f + 16)*(4*f - 1)/7
Find i, given that 423/4 - 1/4*i**2 + 69/2*i = 0.
-3, 141
Suppose 3227*z + 2724*z = -700*z + 19953. What is n in -7/3*n**z - 32/3*n**2 + 0 - 12*n = 0?
-18/7, -2, 0
Let w(a) be the first derivative of -4/5*a**3 + 0*a**2 - 2/25*a**5 + 7/10*a**4 + 0*a + 28. Factor w(j).
-2*j**2*(j - 6)*(j - 1)/5
Let p(h) = -h**3 + 32*h**2 + 3*h - 12. Let c be p(32). Factor -32 + 14*m**4 - c*m**2 - 28*m**4 + 10*m**4 + 32*m**3 + 88*m.
-4*(m - 4)*(m - 2)*(m - 1)**2
Factor -1989/7*m**2 - 328683/7 - 3/7*m**3 - 330669/7*m.
-3*(m + 1)*(m + 331)**2/7
Let g be 1/(-5) - (6 - (-284)/5). Let n = g + 1073/17. Let -2/17*c**2 - n*c + 4/17 = 0. What is c?
-2, 1
Let u = -189 + 211. Factor 18*w**5 - u*w**5 - 10*w**4 + 12*w**3 + 2*w**4.
-4*w**3*(w - 1)*(w + 3)
Let y(s) = -s**2 + 13*s + 34. Let w be y(14). Suppose 65*h**2 - 14 - w*h + 150*h**2 - 100*h**3 - 6 = 0. What is h?
-1/4, 2/5, 2
Let a be (140/(-30))/(2/(-3)). Suppose 0 = 2*b - 7*b - d + 9, 5*b + 3*d = a. Factor -2*v**2 + 9*v**4 + b*v**5 - 15*v**4 - 2*v**3 + 8*v**4.
2*v**2*(v - 1)*(v + 1)**2
Factor 123245 + 1/5*l**2 + 314*l.
(l + 785)**2/5
Factor 3*i**2 - 2/7*i**3 + 16/7 - 6*i.
-(i - 8)*(i - 2)*(2*i - 1)/7
Factor -97 + 47 + 128*n + 2*n**2 - 74 + 0*n**2 - 6*n**2.
-4*(n - 31)*(n - 1)
Let j(f) be the second derivative of 2*f + 8 - 22/5*f**2 + 1/15*f**4 + 4/3*f**3. Factor j(c).
4*(c - 1)*(c + 11)/5
Let y(o) = -5*o**2 - 65*o - 564. Let j(z) = z**2 - 4*z - 5. Let l(d) = 12*j(d) + 3*y(d). Factor l(n).
-3*(n + 8)*(n + 73)
Let q be (-40)/8*(1/(-10) - 126/180). What is a in 213/4*a**2 + 121 + 1/4*a**q + 143*a + 13/2*a**3 = 0?
-11, -2
Let d be 1218/348 - ((-4605)/6 - -3). Factor 48*z**2 - d*z - 3/4*z**3 + 0.
-3*z*(z - 32)**2/4
Let -2697/5*u**2 + 4032/5 + 15*u**5 + 4848/5*u - 4923/5*u**3 - 267*u**4 = 0. What is u?
-8/5, -1, 1, 21
Let f(v) = v**3 + 1. Let j(g) be the first derivative of g**3 - g**2 + 31 + 3*g + 1/2*g**4. Let k(q) = 3*f(q) - j(q). Factor k(c).
c*(c - 2)*(c - 1)
Let v = -1685 - -1075. Let k be (-2684)/v + -5 + 1. Factor -k*g**4 + 2/5*g**2 + 0 + 1/5*g**5 - 1/5*g**3 + 0*g.
g**2*(g - 2)*(g - 1)*(g + 1)/5
Let l be (6/4*5)/(570/456). Let b(j) be the second derivative of -1/3*j**4 - 8/3*j**3 - 18*j - l*j**2 + 0. Find h such that b(h) = 0.
-3, -1
Let h(b) be the third derivative of b**8/168 + 13*b**7/126 + 41*b**6/72 + b**5/3 - 50*b**4/9 + 32*b**3/9 + 2*b**2 + 118*b. Suppose h(k) = 0. What is k?
-4, 1/6, 1
Determine t so that 352/3*t**2 + 8/3 - 124/3*t + 484/3*t**3 = 0.
-1, 1/11, 2/11
Let q(v) be the first derivative of -5*v**4/8 - 1485*v**3 - 1323135*v**2 - 523961460*v - 571. Solve q(p) = 0 for p.
-594
Let r(c) be the first derivative of c**5 + 5*c**4/4 - 505*c**3/3 + 495*c**2/2 + 1973. Factor r(t).
5*t*(t - 9)*(t - 1)*(t + 11)
Let a = -349 - -353. Factor 222*d**2 + 10*d**a - 15 - 22 + 88*d**3 + 112*d + 5.
2*(d + 1)*(d + 4)**2*(5*d - 1)
Factor 31/2*s**3 + 0*s - 13/2*s**4 + 12*s**2 + 0.
-s**2*(s - 3)*(13*s + 8)/2
Let w(z) be the second derivative of 0 + 9*z - 1/18*z**4 - 8/9*z**3 - 5*z**2. Solve w(p) = 0.
-5, -3
Let n(c) be the second derivative of -c**5/60 + 89*c**4/36 + 5*c**3 + 54*c + 12. Factor n(p).
-p*(p - 90)*(p + 1)/3
Let h be (4/(-3))/((-4)/1098). Suppose -7*b - h = -13*b. Factor -12*v**2 - 92*v - b + 21 + 25*v**2 + 7*v**2.
4*(v - 5)*(5*v + 2)
What is r in -23*r - 53*r + r**5 - 14*r**4 + 132*r**2 - 32*r**3 + 6*r**5 + 40*r - 3*r**5 - 54 = 0?
-3, -1/2, 1, 3
Let o(r) be the third derivative of -1/270*r**6 + 0*r + 2*r**3 + 1/18*r**4 - 38*r**2 + 0*r**5 + 0. Let i(a) be the first derivative of o(a). Factor i(k).
-4*(k - 1)*(k + 1)/3
Let g(c) be the first derivative of -c**6/720 - c**5/120 - c**4/72 - 153*c**2/2 + 9. Let d(q) be the second derivative of g(q). Solve d(o) = 0.
-2, -1, 0
Let 40*b - 5*b**5 - 38*b**3 - 304*b**4 - 374*b**4 - 20*b**2 + 8*b**3 + 703*b**4 = 0. Calculate b.
-1, 0, 2
Let b(p) be the second derivative of -3*p**5/80 + 11*p**4/16 - p**3/2 - 45*p**2/2 + 2341*p. Factor b(f).
-3*(f - 10)*(f - 3)*(f + 2)/4
Let 2/11*x**5 - 350/11*x - 28/11*x**4 + 92/11*x**3 + 196/11 + 8*x**2 = 0. Calculate x.
-2, 1, 7
Suppose 0 = -24*j + 13*j + 22. Let -184 + 91 + m**2 + 3*m + j*m**2 + 87 = 0. Calculate m.
-2, 1
Let n(y) = -y - 1. Let r be n(-4). Let g(m) = -2*m**3 + 9*m**2 - 2*m + 39. Let d be g(5). Factor -8*z**r - d*z**2 - 45*z + 2*z**3 + 47*z.
-2*z*(z + 1)*(3*z - 1)
Suppose -2*q = -r - 3, 4*r + 6 = -0*r + 2*q. Let p(h) = -13*h**4 - 6*h**3 - 2*h**2 + 6*h. Let d(n) = 2*n**4 - n**2 - n. Let a(j) = r*p(j) - 6*d(j). Factor a(w).
w**2*(w + 2)*(w + 4)
Let c = -89974/9 - -10006. Let c*m**2 - 32/9 - 64/9*m**3 - 14/9*m**5 - 22/3*m**4 + 32/3*m = 0. Calculate m.
-2, 2/7, 1
Let w(z) = -34*z**2 + 812*z + 822. Let b(s) = 97*s**2 - 2438*s - 2467. Let f(c) = -6*b(c) - 17*w(c). Factor f(h).
-4*(h - 207)*(h + 1)
Let c(o) = 3*o**4 - o**3 + 5*o**2 - 5*o + 2. Let v(d) = -4*d**4 - 6*d**2 + 7*d - 3. Let x(f) = -6*c(f) - 4*v(f). Solve x(n) = 0 for n.
0, 1
Let m(i) be the second derivative of -i**4/36 + 17*i**3 - 5*i + 55. What is g in m(g) = 0?
0, 306
Factor 202*y**4 + 4*y**5 - 18*y**4 + 1440*y**2 + 646*y**3 - 59*y**3 + 409*y**3.
4*y**2*(y + 3)**2*(y + 40)
What is v in -1/3*v**4 - 2/3*v**2 + 0 + v**3 + 0*v = 0?
0, 1, 2
Let a(m) be the second derivative of m**6/72 + 5*m**5/6 + 125*m**4/6 + 157*m**3/6 + 97*m. Let x(d) be the second derivative of a(d). Solve x(t) = 0 for t.
-10
Factor -6*o - 3/4*o**2 - 45/4.
-3*(o + 3)*(o + 5)/4
Let a(o) be the second derivative of -o**4/90 + 238*o**3/15 - 42483*o**2/5 + 750*o. Factor a(w).
-2*(w - 357)**2/15
Factor 650*v**3 - 28*v + 1294*v + 4*v + 2*v**4 + 3*v**4 + 507*v**2 + 1408*v**2.
5*v*(v + 1)*(v + 2)*(v + 127)
Let d(u) be the first derivative of -u**6/3 + 22*u**5/5 - 39*u**4/2 + 30*u**3 + 3396. Factor d(r).
-2*r**2*(r - 5)*(r - 3)**2
Suppose -93*u + 139 = -47. Let f(h) be the second derivative of 0*h**u + 1/20*h**5 + 1/30*h**6 - 10*h + 0*h**3 + 0 + 0*h**4. Find p, given that f(p) = 0.
-1, 0
Let w = -184124851/153387 - -112/11799. Let a = w - -1201. Factor 10/13*r**2 - a*r + 6/13*r**3 - 8/13.
2*(r - 1)*(r + 2)*(3*r + 2)/13
Suppose 2*d = -519 - 273. Let z be (4/56)/(3/d)*-14. Let -3 + 39 + 43*o**3 + z*o + 9*o**4 + 17*o**3 + 6*o**3 + 157*o**2 = 0. Calculate o.
-3, -2/3
Let i(q) be the third derivative of q**6/240 - 93*q**5/8 + 216225*q**4/16 - 33514875*q**3/4 - 3*q**2 - 402*q. Factor i(k).
(k - 465)**3/2
Let k(q) be the first derivative of -1/30*q**6 + 18/5*q**3 + 9/10*q**4 - 57 - 243/5*q - 81/10*q**2 - 3/25*q**5. Factor k(m).
-(m - 3)**2*(m + 3)**3/5
Let o(u) = -u**3 + 6*u**2 + u - 4. Let t be o(6). Let j - j**2 + 0 + 3*j**t + 28 - 4 + 25*j = 0. What is j?
-12, -1
Let o(j) = j**4 - 4*j**3 - j**2 + 2*j. Let x(l) = 468*l**3 - 702*l**2 + 192*l. Let b(k) = 21*o(k) - x(k). Let b(s) = 0. Calculate s.
0, 2/7, 1, 25
Factor 32041/4*o**3 + 32399/2*o**2 + 2 + 359*o.
(o + 2)*(179*o + 2)**2/4
Let i be (-15)/(-9)*252/105. Determine b, given that 82*b**3 - 83*b**3 - 113*b**i + 113*b**4 + b**5 = 0.
-1, 0, 1
Suppose -7*f**4 - 738 - 543*f**2 + 99*f**3 + 43819421*f + f**4 - 18 - 43818305*f = 0. Calculate f.
3/2, 2, 6, 7
Let a(t) be the second derivative of 5*t**7/63 - 8*t**6/15 + 7*t**5/6 - 2*t**4/3 - 4*t**3/9 - 58*t - 3. What is y in a(y) = 0?
-1/5, 0, 1, 2
Let r = 2323883/3 - 774609. Let 18 + 2/3*w**2 + r*w = 0. What is w?
-27, -1
Let p = 1994 + -1994. Let z(t) be the second derivative of -75/8*t**2 + 12*t - 1/16*t**4 + p - 5/4*t**3. Let z(u) = 0. What is u?
-5
Let s(t) = -3*t + 18. Let y be s(5). Factor -21*u**2 + 3*u**3 + 29*u**2 + 20*u**2 + 26*u + 3*u**y - 12.
2*(u + 2)*(u + 3)*(3*u - 1)
Factor -492*b - 3362/5*b**2 - 90.
-2*(41*b + 15)**2/5
Let d(a) be the second derivative of a**4/66 + 49*a**3/11 - 298*a**2/11