Let i(j) = 2*o(j) + 55*v(j). Factor i(q).
5*(q - 190)**2*(q + 1)
Let n(p) be the third derivative of 121*p**7/735 - 4279*p**6/420 + 943*p**5/35 - 409*p**4/21 + 136*p**3/21 + 2*p**2 - 59. What is b in n(b) = 0?
2/11, 1, 34
Let v = -207 + 209. Solve 5*a - 2983 + a**v + 2983 = 0 for a.
-5, 0
Let l(t) = -5205*t**2 - 414*t - 11. Let n(f) = 5206*f**2 + 416*f + 12. Let s be ((-10)/25)/(78/(-20) + 4). Let b(y) = s*l(y) - 3*n(y). What is a in b(a) = 0?
-2/51
Suppose 0 = -v + 4*p + 55, -4*v + 6*p - p = -187. Let y = v - 471/11. Solve y*i + 0 + 6/11*i**3 + 2/11*i**4 + 6/11*i**2 = 0 for i.
-1, 0
Suppose -4*u + t = -19, -3*u - 3*t - 20 = -23. Let b(o) be the first derivative of 8/33*o**3 + 4/11*o + 27 - 1/22*o**u - 5/11*o**2. Factor b(p).
-2*(p - 2)*(p - 1)**2/11
Suppose 0 = -872*v + 839 + 981 + 466 - 542. Let 177/2*l**v + 840*l + 9/4*l**3 - 600 = 0. What is l?
-20, 2/3
Let m(r) be the first derivative of -2/21*r - 2/105*r**5 + 2/21*r**4 - 4/21*r**3 + 63 + 4/21*r**2. Determine o, given that m(o) = 0.
1
Solve 35/4*m - 1/4*m**4 + 3 + 33/4*m**2 + 9/4*m**3 = 0.
-1, 12
Let d(h) = -h + 12. Let v be d(8). Suppose a**3 - 3*a**2 - 2*a + a**v + 4*a + 6 - 4 - 3*a = 0. Calculate a.
-2, -1, 1
Let c = -3245 + 3262. Let a(v) be the third derivative of 0*v + 2/15*v**5 - 1/2*v**4 + 0 + c*v**2 - 4/3*v**3. Suppose a(r) = 0. What is r?
-1/2, 2
Let g(p) be the first derivative of -2*p**3/3 - 438*p**2 + 3595. Factor g(b).
-2*b*(b + 438)
Let o(y) = 8*y + 16. Let m be o(5). Let r be 322/m + 2/8. Factor 2*t**4 - 4*t - 5*t**4 + 9*t**3 - 5*t + r - 3*t**2 + 0.
-3*(t - 2)*(t - 1)**2*(t + 1)
Let j(a) be the third derivative of 41*a**2 + 1/420*a**7 + 1/80*a**6 + 0*a**3 + 1/60*a**5 + 0 + 0*a + 0*a**4. Factor j(n).
n**2*(n + 1)*(n + 2)/2
Determine s, given that 76*s**3 + 4*s**4 + 122473*s**2 - 122881*s**2 + 48*s**3 = 0.
-34, 0, 3
Let s(k) = -5*k**3 + 2010*k**2 + 4043*k - 1209. Let w be s(404). Determine g, given that 1/6*g**5 + 1/3*g**w + 0 - 4*g + 5/6*g**4 - 10/3*g**2 = 0.
-3, -2, 0, 2
Let j be (-28)/(-280) + (-3198)/(-20). Suppose 39*a - j = -a. Let 2*u + a + 1/4*u**2 = 0. Calculate u.
-4
Factor -1345086*c - 2054/15*c**3 + 4/15*c**4 + 3333474/5 + 117306/5*c**2.
2*(c - 171)**3*(2*c - 1)/15
Let l = 5689 + -22735/4. Let i(o) be the first derivative of -9 - 6*o + l*o**4 + 12*o**3 + 9/2*o**2. Factor i(t).
3*(t + 1)**2*(7*t - 2)
Let y(i) = 3*i**2 + 4. Let j(l) = 8*l**2 + 120*l - 672. Let c(m) = j(m) - 3*y(m). Find k, given that c(k) = 0.
6, 114
Solve 0 - 22*z**3 - 64/3*z**4 + 2/3*z**5 + 0*z + 0*z**2 = 0 for z.
-1, 0, 33
Let w(q) = 7*q**3 - 10*q**2 - q. Suppose -12*h + 66 = 10*h. Let a(x) = -5*x**3 + 9*x**2 + 2*x. Let d(t) = h*w(t) + 4*a(t). Factor d(n).
n*(n + 1)*(n + 5)
Suppose 2*m + 4*u = -68, -110 + 56 = 3*u. Factor 3/7*y**3 + 0 + 0*y - 1/7*y**4 - 2/7*y**m.
-y**2*(y - 2)*(y - 1)/7
Let d(c) be the third derivative of c**5/12 - 35*c**4/3 - 290*c**3/3 - 3994*c**2. Factor d(o).
5*(o - 58)*(o + 2)
Let 70*m + m**5 - 23*m**2 + 668*m**4 - 102*m + 3*m**3 - 12 - 661*m**4 = 0. Calculate m.
-6, -1, 2
Factor -95*v + 303*v + 50*v**2 - 868 + 194*v**2 - 256*v**2.
-4*(v - 7)*(3*v - 31)
Suppose 5*x - 5*j - 207 + 32 = 0, 0 = 2*x + 3*j - 90. Factor 27*a - 64*a + x*a + 2 - 14 + 2*a**3 + 8*a**2.
2*(a - 1)*(a + 2)*(a + 3)
Let m(u) be the second derivative of -5*u**4/12 + 935*u**3/3 - 2*u + 71. Determine t, given that m(t) = 0.
0, 374
Let p(q) be the second derivative of 3*q**5/40 - 199*q**4/8 + 196*q**3 - 585*q**2 + 1301*q. Factor p(l).
3*(l - 195)*(l - 2)**2/2
Let q = 622556/3 + -207518. Solve q*g**2 - 128/3*g + 2048/3 = 0.
32
Suppose 3*o = -4*l + 99, 3*l + 2*o + 22 = 4*l. Suppose -42*c + l*c = -54. Suppose 0 + 32/3*v**2 - 8/3*v + 10/3*v**4 - 34/3*v**c = 0. Calculate v.
0, 2/5, 1, 2
Suppose 0 + 1/7*b**3 - 45*b + 58/7*b**2 = 0. Calculate b.
-63, 0, 5
Let c(s) be the first derivative of -2*s**3/9 - 14*s**2/3 + 98*s + 1342. Factor c(o).
-2*(o - 7)*(o + 21)/3
Let a(r) be the third derivative of -r**5/120 + 31*r**4/12 - 41*r**3/4 - 1588*r**2. Determine c, given that a(c) = 0.
1, 123
Let i = -42343 + 211718/5. Let s(a) be the second derivative of 16*a**2 + i*a**5 - 4*a**3 + 0 - 11/3*a**4 - 41*a. What is h in s(h) = 0?
-1, 2/3, 4
Let g(d) be the third derivative of 2*d**3 - 1/24*d**4 + 0 - 1/24*d**5 + 4*d**2 + 0*d + 1/240*d**6. Find z such that g(z) = 0.
-2, 3, 4
Let t = 128361 + -385079/3. Let -32/3 - 8*k - t*k**2 = 0. Calculate k.
-4, -2
Suppose 20*s + 2 = 21*s. Let c be (s + 2)/(98/21). Find t, given that 0*t + 0 + c*t**3 + 2/7*t**2 + 6/7*t**4 + 2/7*t**5 = 0.
-1, 0
Suppose -5*j = 10, 5*l = -2*j - 33 + 44. Let k(r) be the first derivative of 1/5*r**5 - r**4 - 9 + r - 2*r**2 + 2*r**l. Suppose k(o) = 0. Calculate o.
1
Let k(y) be the second derivative of y**5/4 - 5*y**4/2 - 85*y**3/2 - 110*y**2 - 1167*y. Factor k(n).
5*(n - 11)*(n + 1)*(n + 4)
Let w(v) be the second derivative of 8/5*v**6 - 11/14*v**7 + 0*v**2 + 0 + 0*v**3 - 3/2*v**4 - 101*v + 3/20*v**5. Factor w(h).
-3*h**2*(h - 1)**2*(11*h + 6)
Let v(z) be the second derivative of -33/16*z**2 - 5/8*z**3 - 36 - 1/80*z**6 + 3/8*z**4 + 3/16*z**5 - 2*z. Suppose v(f) = 0. What is f?
-1, 1, 11
Let n = 622716/2179555 - -2/311365. Solve -10/7*z**2 - 8/7*z**3 + 0 - n*z**4 - 4/7*z = 0.
-2, -1, 0
Let t(a) be the third derivative of 0*a + 7/135*a**5 - 17/108*a**4 + 2/9*a**3 + 3*a**2 - 1/180*a**6 - 46. Factor t(r).
-2*(r - 3)*(r - 1)*(3*r - 2)/9
Let s(x) be the third derivative of -x**5/60 - 49*x**4/8 + 74*x**3/3 + x**2 + 45*x. Suppose s(u) = 0. Calculate u.
-148, 1
Let d(b) = -9*b**3 - 312*b**2 - 21*b + 417. Let m(u) = -4*u**3 - 156*u**2 - 10*u + 205. Let c(j) = -7*d(j) + 15*m(j). Find r, given that c(r) = 0.
-1, 1, 52
Let d(n) = 2*n**3 - 6*n**2 - 3*n + 5. Let k be d(5). Let f be (-12)/k + 546/45. Solve -f*b + 6*b**2 + 66 - 3*b**2 - 81 = 0 for b.
-1, 5
Let t(s) be the third derivative of s**7/147 - 43*s**6/210 - 4*s**5/5 - 29*s**4/42 + 19*s**3/21 - 1396*s**2. Suppose t(h) = 0. What is h?
-1, 1/5, 19
Let a(z) be the second derivative of -z**4/3 - 5132*z**3/3 - 3292178*z**2 - 9136*z. Find k such that a(k) = 0.
-1283
Factor -139*t + 55*t**2 + 5*t**3 - 50*t**2 + 109*t.
5*t*(t - 2)*(t + 3)
Let l(y) = 9*y - 564. Let i be l(63). Let w(h) be the second derivative of -2/39*h**i - 6*h + 0*h**2 + 1/78*h**4 + 0. Suppose w(m) = 0. What is m?
0, 2
Let s(i) be the second derivative of -i**6/105 - 2*i**5/35 + i**4/2 - 2*i - 595. Factor s(n).
-2*n**2*(n - 3)*(n + 7)/7
Let a(v) be the second derivative of -v**5/50 + 2*v**4/5 - v**3/3 - 66*v**2/5 - 6301*v. Factor a(x).
-2*(x - 11)*(x - 3)*(x + 2)/5
What is u in 75253*u**2 - 75204*u**2 + 63*u**3 + u**5 + 11*u**4 + 4*u**4 = 0?
-7, -1, 0
Let f(p) = -3*p - 6. Let n be f(-3). Let u be (3 - -7 - 5)*(n - 2). Factor 2*d**2 - d**2 + d - u*d.
d*(d - 4)
Let g(a) be the third derivative of a**9/5040 + a**8/2800 + 65*a**3/6 + 53*a**2. Let k(c) be the first derivative of g(c). Factor k(f).
3*f**4*(f + 1)/5
Let c(m) be the second derivative of -5*m**7/3 + 319*m**6/6 - 239*m**5/4 - 55*m**4/2 - 8648*m. Determine r, given that c(r) = 0.
-3/14, 0, 1, 22
Suppose 654*i - 9693 = -25*i - 2552*i. Suppose 2/7*a**i + 0 + 20/7*a**2 + 18/7*a = 0. Calculate a.
-9, -1, 0
Let a be (496/(-31))/(-1*21). Let z(c) be the second derivative of 0 + 15*c + 1/7*c**4 + a*c**3 + 8/7*c**2. Let z(p) = 0. Calculate p.
-2, -2/3
Let s(m) = -9 - 23*m + 6*m**2 + 12*m**2 + 20*m. Let c(k) = -11 + 3 - 65120*k + 17*k**2 + 65116*k. Let d(w) = 6*c(w) - 5*s(w). Factor d(p).
3*(p - 1)*(4*p + 1)
Suppose 77 = 49*g - 266. Let j(c) be the third derivative of -2/105*c**g + 8*c**2 - 1/15*c**6 + 1/5*c**5 - 8/3*c**3 + 0*c + 2/3*c**4 + 0. What is b in j(b) = 0?
-2, 1
Let j(b) = -2*b**2 - 48*b + 1064. Let q be j(14). Factor -9*r - 3/2*r**2 + q.
-3*r*(r + 6)/2
Suppose -5*l + 35 = 3*b, l - 5*b = -17 - 4. Suppose 177*q**2 + 4*q**3 - 89*q**2 - q**4 - l*q - 87*q**2 = 0. Calculate q.
-1, 0, 1, 4
Factor -610/3*u**2 - 17*u**3 + 0 + 0*u + 1/3*u**4.
u**2*(u - 61)*(u + 10)/3
Let w(p) be the first derivative of -27*p**4/8 - 1149*p**3/2 - 108273*p**2/4 + 111747*p/2 + 1290. Factor w(j).
-3*(j - 1)*(3*j + 193)**2/2
Suppose 0 = 34*r + 148*r - r - 53214. Determine s so that -252*s + r - 81/2*s**2 - 3/2*s**3 = 0.
-14, 1
Suppose 59 = c + 185. Let u be (-315)/c - (-1 - (1 + 1)). Factor -3*v**2 - 3 - u*v - 1/2*v**3.
-(v + 1)*(v