 Find r, given that 4*r**5 + 20*r**4 + 539*r**3 + 16*r**2 + 546*r**3 - 1053*r**v = 0.
-2, -1, 0
Let h(r) = 2*r**2 + 15*r - 2. Let b be h(-8). Suppose -8 - 4 = -b*l. Factor -133*p - 20*p**3 - 4*p**2 + 137*p + 20*p**l.
-4*p*(p - 1)*(5*p + 1)
What is u in 81/5*u + 18/5 + 4/5*u**4 + 28/5*u**2 - 31/5*u**3 = 0?
-1, -1/4, 3, 6
Let q(x) = -x**3 + 95*x**2 - 1478*x + 7084. Let z be q(77). Solve -2/11*i**2 + 4/11*i + z = 0 for i.
0, 2
Determine x so that 3/7*x**4 + 30/7*x - 12/7*x**3 - 9/7*x**2 + 24/7 = 0.
-1, 2, 4
Let r(c) be the first derivative of -4*c**5/5 - 4*c**4 - 4*c**3 - 2649. Factor r(b).
-4*b**2*(b + 1)*(b + 3)
Let l(f) be the second derivative of f**6/70 + 9*f**5/7 + 59*f**4/28 - f + 240. Find o such that l(o) = 0.
-59, -1, 0
Let p(z) = -2*z**2 - 10. Let t(o) = 4*o - 1. Let g be (-1)/4*-2*10/(-5). Let m(a) = g*p(a) + 2*t(a). Find y such that m(y) = 0.
-2
Let s be 14 + (19 - -5)/(-3). Let d(v) be the third derivative of -1/480*v**s + 1/96*v**4 + 0 + 1/240*v**5 + 28*v**2 + 0*v - 1/24*v**3. Factor d(h).
-(h - 1)**2*(h + 1)/4
Solve -39*l**2 - 1227*l**2 - 10*l - 919*l**2 = 0.
-2/437, 0
Let z(m) = 16*m**3 - 6*m**2 - 52*m - 36. Let a(s) = s**3 + s**2 - 10*s - 2. Let h(x) = -36*a(x) + 2*z(x). Determine b so that h(b) = 0.
-16, 0, 4
Suppose -2*r - 18 = -4*h + 12, -5*r = -h + 30. Suppose -3*x - 4*o = -1599, 0 = x + 3*x - 3*o - 2107. What is f in -x*f**4 + 529*f**4 + h*f**5 - 5*f**3 = 0?
-1, 0, 1
Let k = 69/1642 - -2249/24630. Determine g so that -4/15 - 2/3*g - 2/5*g**2 + 2/15*g**4 + k*g**3 = 0.
-1, 2
Let k(u) be the third derivative of -u**8/336 + u**7/105 + u**6/20 - 2*u**5/15 - 5*u**4/24 + u**3 + 1020*u**2. Solve k(i) = 0 for i.
-2, -1, 1, 3
Let q(p) be the third derivative of -9/2*p**3 + 0*p + 1/2700*p**6 + 0 - 1/225*p**5 + 1/45*p**4 - 6*p**2. Let d(v) be the first derivative of q(v). Factor d(w).
2*(w - 2)**2/15
Solve -2209 + 95/2*r**3 + 4465*r - 9213/4*r**2 - 1/4*r**4 = 0 for r.
1, 94
Let z(s) be the second derivative of -s**6/60 - 7*s**5/40 - s**4/4 + 8*s**3/3 + 8*s**2 + 355*s - 2. Factor z(v).
-(v - 2)*(v + 1)*(v + 4)**2/2
Factor 18111*c**3 - 18106*c**3 - 30*c + 32 - 392 + 35*c**2.
5*(c - 3)*(c + 4)*(c + 6)
Let z = 467 - 422. Let h be ((-50)/z)/(((-35)/(-84))/(-5)). Let h*c + 80/3 + 5/3*c**2 = 0. What is c?
-4
Let b = -117304 + 117307. Find v such that -8/15*v - 2/15*v**4 + 6/5*v**2 - 8/5 + 0*v**b = 0.
-3, -1, 2
Suppose 138*z - 146*z = -272. Determine c, given that -28 - 25*c**4 - 15*c**2 - 35*c**3 - 5*c**5 + z - 6 = 0.
-3, -1, 0
Let c(u) be the first derivative of 4/15*u**3 + 250 + 0*u + 12/5*u**2. Factor c(z).
4*z*(z + 6)/5
Suppose -27*x = -19*x + 73*x + 50*x. Let l(j) be the second derivative of 3/20*j**5 + 8*j + 0 - 1/2*j**3 + x*j**4 + 0*j**2. Factor l(z).
3*z*(z - 1)*(z + 1)
Let u(i) = -14*i + 457. Let m be u(32). Let d(f) be the third derivative of 0*f + 7/3*f**4 - m*f**2 + 49/15*f**5 + 2/3*f**3 + 0. Find z such that d(z) = 0.
-1/7
Let y be ((2 - 3)*4)/(-2). Factor 35*w - 56 - 19*w + 20*w - 4*w**y.
-4*(w - 7)*(w - 2)
Let t be ((62 + 8)/5 - 11) + (-34)/12. Let i(k) be the second derivative of -4/3*k**3 + 0 + 34*k + 5*k**2 - t*k**4. Factor i(s).
-2*(s - 1)*(s + 5)
Let -68*y + 135/2 + 1/2*y**2 = 0. What is y?
1, 135
Let s(d) be the first derivative of 121/4*d + 1/12*d**3 + 11/4*d**2 + 22. What is z in s(z) = 0?
-11
Let l = 70 - 70. Suppose 3*n - 9 = -l*n - q, 4*q = -2*n - 4. Solve -2*y**3 + 5*y**5 + 5*y**2 + y**3 - 5*y**n - 3*y**3 - y**3 = 0.
-1, 0, 1
Let a(c) = 227*c + 32690. Let l be a(-144). Factor 33/2*i**3 + 2*i - 10*i**2 - 10*i**4 + l*i**5 + 0.
i*(i - 2)**2*(2*i - 1)**2/2
Let o(x) = -x**3 + 4*x**2 + 3*x - 10. Let f be o(4). Suppose -4 = -f*m, -2*a - 4*m = -7*a + 47. What is b in 7*b**2 - 21*b**3 + a*b + 29*b**2 - 2*b + 3*b = 0?
-2/7, 0, 2
Suppose 0 - 2*a**2 - 14/5*a**3 + 24/5*a = 0. Calculate a.
-12/7, 0, 1
Let j = 50686 + -658906/13. Factor 10/13 + j*x + 2/13*x**2.
2*(x + 1)*(x + 5)/13
Let f(q) = 9*q**2 + 449*q - 994. Let c(i) = 12*i**2 + 436*i - 995. Let t(m) = 4*c(m) - 5*f(m). Factor t(v).
3*(v - 165)*(v - 2)
Let y(h) be the second derivative of -h**4/6 - 22*h**3/3 - 40*h**2 + 277*h - 10. Factor y(m).
-2*(m + 2)*(m + 20)
Let t(j) be the first derivative of -j**6/72 + 5*j**5/24 - 80*j**3/3 + 16. Let w(b) be the third derivative of t(b). Factor w(f).
-5*f*(f - 5)
Let v(y) = 5*y**4 - 129*y**3 + 2337*y**2 - 11651*y + 9414. Let p(q) = q**4 - q**3 - 9*q**2 - q + 2. Let t(w) = 6*p(w) - 2*v(w). Factor t(k).
-4*(k - 28)**2*(k - 6)*(k - 1)
Suppose 2*b + 16*f - 20*f = 32, -2*f = -2*b + 40. Find v, given that 5*v**2 - 658*v + 0*v**2 + b + 628*v + 16 = 0.
2, 4
Let -371*c**4 - 9*c**5 - 1125*c**3 - 396*c + 164*c**4 - 1536*c**2 - 39*c**4 = 0. Calculate c.
-22, -3, -2, -1/3, 0
Let q(i) be the third derivative of i**8/2184 - i**7/455 - 5*i**6/156 - 5*i**5/78 + 2*i**4/13 + 28*i**3/39 + 368*i**2. Find l, given that q(l) = 0.
-2, -1, 1, 7
Let b(v) be the third derivative of v**6/120 + 77*v**5/20 + 4633*v**4/8 + 63845*v**3/6 + 214*v**2. Factor b(i).
(i + 5)*(i + 113)**2
Let v(r) be the first derivative of 1/3*r**3 + 3/8*r**4 + 0*r + 1/240*r**6 + 12 + 0*r**2 + 1/16*r**5. Let k(a) be the third derivative of v(a). Factor k(l).
3*(l + 2)*(l + 3)/2
Let j(u) be the second derivative of -5/72*u**4 - 7/36*u**3 + 0 + 34*u - 1/4*u**2 - 1/120*u**5. Solve j(a) = 0.
-3, -1
Let k = -496 - -907. Let s = k - 409. Determine b so that -b**s + 4/3*b + 0 - 1/3*b**3 = 0.
-4, 0, 1
Let m(u) be the first derivative of u**6/2 - 147*u**5/5 - 75*u**4/2 + 1441. Factor m(a).
3*a**3*(a - 50)*(a + 1)
Let x(d) be the second derivative of -3/4*d**4 + 1/120*d**6 + 27/4*d**3 + 0 - 1/40*d**5 - 189/8*d**2 + 120*d. Factor x(i).
(i - 3)**3*(i + 7)/4
Find p such that -132/5*p**4 + 0 + 96/5*p**2 - 334/5*p**3 + 128/5*p + 242/5*p**5 = 0.
-8/11, 0, 1
Let 11/2*l + 1/4*l**2 - 23/4 = 0. What is l?
-23, 1
Factor 0 - 1/7*d**2 - 225/7*d.
-d*(d + 225)/7
Let r be (-1)/(-2) + (3 - 38/4). Let s(h) = -h**2 - 5*h + 9. Let m be s(r). Solve 9*j**2 - 14 + 16*j**m - 13*j**3 + 2 = 0.
-2, 1
Suppose 1332 = 634*z - 412*z. Solve -4*k + 2/3*k**2 + z = 0 for k.
3
Let m = 435 + -435. Suppose -22 = -3*c - 5*u + 4, m = c + u - 6. Find l such that -38/5*l + 22/5*l**c + 18/5 - 2/5*l**3 = 0.
1, 9
Let f(n) be the third derivative of -2*n**2 + 0*n - 77/108*n**4 - 1/270*n**5 - 16 + 26/9*n**3. Factor f(v).
-2*(v - 1)*(v + 78)/9
Let o = -312540 - -1562701/5. Factor -3/5*w**2 - o + 1/5*w**3 + 3/5*w.
(w - 1)**3/5
Let g(n) be the first derivative of n**4/2 + 8*n**3/3 - 36*n**2 - 288*n - 4252. Solve g(c) = 0.
-6, -4, 6
Let d(u) = -6*u**3 - 3*u**2 - 2*u. Let r be d(-1). Factor -16*o**2 - r*o**2 + 10*o**2 - 6*o + 10*o**2.
-o*(o + 6)
Suppose 20 = 7*s - 2*s - j, 8 = 2*s - 4*j. Let 16*k**3 - 4*k**3 + 533*k**4 - s*k - 541*k**4 = 0. Calculate k.
-1/2, 0, 1
Suppose 25*l + a + 171 = 20*l, 3*a + 128 = -4*l. Let s be (-132)/(-924) - 1/(l/9). Factor -6/5*g**2 + 2*g - s*g**3 + 2/5*g**4 - 4/5.
2*(g - 1)**3*(g + 2)/5
Let l(m) be the third derivative of -m**5/180 - 31*m**4/72 + 10*m**3 + 3*m**2 + 60*m - 4. Find f, given that l(f) = 0.
-36, 5
Let p(m) = -5*m**3 + 15*m - 15. Let n(o) = 3*o**3 - o**2 - 11*o + 13. Let s(j) = 5*n(j) + 4*p(j). Suppose s(f) = 0. Calculate f.
-1, 1
Let o be (2*(-9)/(-24))/(111/296). Factor -44*w**3 + 247*w**2 - 36*w**3 - 31*w**3 - 75*w**o - 88*w - 64 + 91*w**3.
-4*(w - 8)*(w - 1)*(5*w + 2)
Suppose 147*t + 6918 = 7653. Let a(p) be the first derivative of -t*p**2 - 1/6*p**3 - 50*p - 47. Factor a(q).
-(q + 10)**2/2
Let y(o) be the second derivative of -3*o**5/5 - 113*o**4/3 - 2090*o**3/3 + 722*o**2 + 2562*o. Determine x, given that y(x) = 0.
-19, 1/3
Suppose 49*g + 1 - 246 = 0. Let l(a) be the second derivative of 1/24*a**4 - 25*a - 1/60*a**6 + 0*a**2 - 1/40*a**g + 1/12*a**3 + 0. Find d such that l(d) = 0.
-1, 0, 1
Let j be (-18)/12 - 18/(-4). Let k = 50391/4 - 12519. Let k*b**4 + 141/4*b**j + 6 - 9*b - 117/2*b**2 = 0. Calculate b.
-1, -2/5, 2/7, 2/3
Suppose 5*v - v - 2*j = 12, 0 = 4*v - 3*j - 14. Suppose -1 + 16*g**v - 8*g + 3 - 6*g - 7*g**3 + 3*g = 0. Calculate g.
2/7, 1
Let p(t) be the third derivative of -t**5/15 + 15*t**4/2 + 92*t**3/3 + 27*t**2 + 5*t. Factor p(h).
-4*(h - 46)*(h + 1)
Solve -363/8 - 6*a**2 - 33*a = 0.
-11/4
Let f be (1 + -9)*(-934)/3736. Let -2/11*u**4 - 8/11*u - 16/11*u**f + 0 - 10/11*u**3 = 0. What 