**3/33 - 96*i**2/11 - 5*i - 36. Factor g(x).
-2*(x - 48)*(9*x - 2)/11
Find f, given that -20*f**2 + 7*f**3 + 2*f**4 - 31*f**2 - f**3 + 55*f**2 + 0*f**3 = 0.
-2, -1, 0
Let s be 17765/4488 + 1/(-3) + 6/16. Solve 0*m**2 + 0 + 0*m + 2/5*m**s - 2/5*m**3 = 0.
0, 1
Let m(j) = j**3 - 8*j**2 - 6*j - 14. Let x be m(11). Solve 3*v**4 + 12 - 15*v**3 - x*v**2 + 12*v + 538*v**2 + 3*v**5 - 270*v**2 = 0.
-2, -1, 1, 2
Let c be 20/6 + 21 + (-18331)/5313*7. Determine t so that -2/11*t**5 - 2/11*t**2 + c*t**4 + 2/11*t**3 + 0*t + 0 = 0.
-1, 0, 1
Suppose 8111*o = 8119*o. Let h(i) be the second derivative of 0*i**6 + 0 + 0*i**3 + 1/5*i**5 + o*i**4 + 19*i + 0*i**2 - 1/42*i**7. Factor h(w).
-w**3*(w - 2)*(w + 2)
Let -236/15*k**4 - 724/15*k**2 - 2/15*k**5 + 242/15*k + 48*k**3 + 0 = 0. What is k?
-121, 0, 1
Let n(k) = -5*k + 5 + 10 + 6 + 1. Let t be n(4). Suppose 17 - m**2 - 4*m**t - 3*m - 8 - m**3 = 0. Calculate m.
-3, 1
Suppose 73 = -36*u - 11*u + 214. Let d(x) be the first derivative of -9/4*x**u - 729/4*x + 243/8*x**2 - 34 + 1/16*x**4. Factor d(o).
(o - 9)**3/4
Let q(x) = -28*x**3 + 25*x**2 - 23*x - 13. Let d(w) = 13*w**3 - 12*w**2 + 11*w + 6. Let i = 139 + -126. Let h(t) = i*d(t) + 6*q(t). Factor h(b).
b*(b - 5)*(b - 1)
Let m = -184 + 200. Let s be ((-60)/m)/((-70)/200). Factor -30/7*f - 3/7*f**2 - s.
-3*(f + 5)**2/7
Find f, given that 0 - 3/4*f**3 + 15*f**2 + 600*f = 0.
-20, 0, 40
Let u be (-85)/(-15) + -3 + 1088/(-408). Suppose 4*w = 2*c + 12, 3*w = -5*c + 4*w + 15. Factor 0 - 2/11*j**c + 0*j**2 + 1/11*j**3 + 1/11*j**5 + u*j.
j**3*(j - 1)**2/11
Let t(q) be the first derivative of q**6/9 + 32*q**5/15 - 29*q**4/3 - 32*q**3/9 + 19*q**2 + 5687. Find m such that t(m) = 0.
-19, -1, 0, 1, 3
Let 30*s + 16*s + 30*s + 2*s**2 + 111 + 33 = 0. What is s?
-36, -2
Let j(a) = -6*a**3 + 164*a**2 + 1134*a + 1214. Let g(t) = -t**3 + 32*t**2 + 227*t + 243. Let b(v) = 14*g(v) - 3*j(v). Solve b(z) = 0.
-2, 15
Factor -1/9*w**3 + 26/9 + 28/9*w**2 - 53/9*w.
-(w - 26)*(w - 1)**2/9
Let c(a) be the third derivative of a + 0*a**3 - 1/84*a**4 + 5*a**2 - 1/140*a**6 + 1/735*a**7 + 0 + 1/70*a**5. Factor c(n).
2*n*(n - 1)**3/7
Let m be ((-16)/6 + 0)*(-126)/(-28). Let o be (m - (-60)/5)*(-1)/(-2). Let 0*l - 3/2*l**3 - 3/2*l**2 - 3/8*l**4 + o = 0. What is l?
-2, 0
Let q(j) be the first derivative of -j**3/36 + 55*j**2/24 + 19*j/2 + 784. Solve q(l) = 0 for l.
-2, 57
Let r(f) be the first derivative of -f**5/180 - 11*f**4/9 - 968*f**3/9 - 211*f**2/2 + 40. Let t(d) be the second derivative of r(d). Let t(p) = 0. Calculate p.
-44
Find d, given that 3*d**3 + 656 - 270*d**2 - 3*d + 661 - 96 - 1305*d**2 + 354*d**2 = 0.
-1, 1, 407
Let w = -1/4 - -3/4. Suppose -42*y + 35*y = -8*y + 2*i - 26, -3*i + 78 = 5*y. What is s in -5/4*s + y*s**2 + 27/4*s**3 - w = 0?
-1, -2/9, 1/3
Let k(l) be the third derivative of l**8/504 - 4*l**7/525 - 4*l**6/225 + l**5/25 + 11*l**4/180 - 2*l**3/15 - 546*l**2. Find h, given that k(h) = 0.
-1, 2/5, 1, 3
Let d(r) be the third derivative of 0 + 1/180*r**5 - 1/180*r**6 + 0*r**3 + r**2 - 1/210*r**7 + 0*r**4 - 36*r. Factor d(o).
-o**2*(o + 1)*(3*o - 1)/3
Let f = -224 + 253. Suppose 25*p + 9 + 20*p**4 - 60*p**2 + f*p**3 - 24*p**3 + 1 = 0. What is p?
-2, -1/4, 1
Let q = -3921 + 3932. Let x(h) be the first derivative of 0*h**2 - 2/15*h**5 + q + 0*h + 0*h**3 - 1/6*h**4. Let x(u) = 0. What is u?
-1, 0
Suppose -310*r = 377*r - 2061. Suppose 2/3*b**4 - 22/3*b**r + 18*b + 10*b**2 + 0 = 0. Calculate b.
-1, 0, 3, 9
Let n be -1*6 + 15 + (19 - 28). Let q(u) be the third derivative of 41*u**2 + 0*u - 1/12*u**4 + n*u**3 - 1/25*u**5 + 0 - 1/300*u**6. Let q(x) = 0. Calculate x.
-5, -1, 0
Let l(b) = -5*b**2 - 5600*b - 530160. Let j(h) = 2*h**2 + 1868*h + 176720. Let x(g) = 10*j(g) + 3*l(g). Suppose x(p) = 0. Calculate p.
-188
Suppose -4*p + 398 = 2*i + 1480, 5*p + 1339 = 2*i. Let f = -1075/4 - p. Factor 1/4*v**4 + 0 - 1/8*v**5 - f*v**2 + 1/8*v + 0*v**3.
-v*(v - 1)**3*(v + 1)/8
Let g(w) = 3577*w**2. Let y be g(-1). Suppose -9*l**2 + 25 - 34*l**3 + 35*l - y*l**5 - 11*l**4 + 3576*l**5 - 5*l**2 = 0. What is l?
-5, -1, 1
Let d(f) = 57*f + 516. Let v be d(-9). Suppose -s - 4 + 0 = 2*k, -3*s - 6 = 4*k. Find o such that -o**s + 1/3*o**5 + 0 + o**4 - 2/3*o + 1/3*o**v = 0.
-2, -1, 0, 1
Let m(n) be the second derivative of 4/75*n**5 - 1/20*n**4 - 12*n + 0*n**3 + 0 - 3/2*n**2. Let s(l) be the first derivative of m(l). Factor s(x).
2*x*(8*x - 3)/5
Let l(z) be the first derivative of -z**4/20 - 6*z**3 - 270*z**2 - 5400*z + 11682. Determine y so that l(y) = 0.
-30
Let a(t) be the first derivative of -9*t**4/32 + 5*t**3/16 + 3*t**2/4 - 13*t + 22. Let g(l) be the first derivative of a(l). Solve g(b) = 0.
-4/9, 1
Determine v, given that 16*v**5 + 3316275 + 58446*v**2 - 15*v**5 - 1006*v**3 + 7304*v**3 - 1131435*v + 143*v**4 = 0.
-51, 5
Let p be (-9 + 275/33)/(-60). Let l(q) be the second derivative of 1/12*q**4 + 1/9*q**3 - p*q**6 - 15*q + 0 + 0*q**5 + 0*q**2. Find c, given that l(c) = 0.
-1, 0, 2
Let b(a) be the third derivative of -1/160*a**6 + 0*a**3 + 0*a + 0 - 79*a**2 + 1/16*a**4 + 1/80*a**5. Find v such that b(v) = 0.
-1, 0, 2
Let z = -289 - -294. Factor 64*m**3 + 44*m + m - 5*m + z*m**4 + 92*m**2 + 7*m**4.
4*m*(m + 1)**2*(3*m + 10)
Let x(v) be the third derivative of -v**5/150 - 5*v**4/12 - 8*v**3/5 + 2584*v**2. Factor x(a).
-2*(a + 1)*(a + 24)/5
Let h(n) be the second derivative of 0*n**3 + 0*n**2 + 168*n - 1/60*n**6 - 3/20*n**5 + 7/24*n**4 + 2. Suppose h(d) = 0. What is d?
-7, 0, 1
Let f(x) be the first derivative of -3*x**4/4 - 11*x**3 - 30*x**2 + 96*x - 3554. Solve f(v) = 0 for v.
-8, -4, 1
Let v(x) be the second derivative of -x**4/20 - 11*x**3/10 + 18*x**2/5 + 2403*x. Find m, given that v(m) = 0.
-12, 1
Let t(p) be the third derivative of p**7/105 - 11*p**6/12 + 79*p**5/15 - 26*p**4/3 - 393*p**2 + 2. Factor t(c).
2*c*(c - 52)*(c - 2)*(c - 1)
Let m = 126 + -138. Let s = 14 + m. What is a in a + 3*a + 3*a**2 - a**s = 0?
-2, 0
Let f be 31/75 - (-46)/21275*-37. Factor 5/3*p - f*p**3 + p**2 + 2/3 - 1/3*p**4.
-(p - 2)*(p + 1)**3/3
Let s(z) be the second derivative of -z**6/105 + 3*z**5/14 - 8*z**4/7 - 64*z**3/21 - 1368*z. Factor s(l).
-2*l*(l - 8)**2*(l + 1)/7
Let j(b) = -3*b - b**3 - 2*b**2 + 2*b**2 - 84 + 82. Let h(g) = g**2 - g - 25 - 26 + 50. Let l(y) = -6*h(y) + 3*j(y). Factor l(c).
-3*c*(c + 1)**2
Let y(u) be the third derivative of 0*u**3 + 0*u - 75*u**2 - 1/210*u**7 - 1/8*u**6 - 17/24*u**4 + 0 + 11/20*u**5. Factor y(o).
-o*(o - 1)**2*(o + 17)
Let z(l) be the first derivative of -l**5/60 + 35*l**4/24 + l**2/2 + 64*l + 51. Let j(x) be the second derivative of z(x). Let j(y) = 0. What is y?
0, 35
Let h(k) be the second derivative of -10 - 3/100*k**5 - 1/50*k**6 + 1/10*k**3 + 1/20*k**4 + 4*k + 0*k**2. Find u such that h(u) = 0.
-1, 0, 1
Factor 2/7*g**2 - 1928/7*g + 464648/7.
2*(g - 482)**2/7
Factor 1/6*p**3 + 11/3*p**2 + 10*p - 36.
(p - 2)*(p + 6)*(p + 18)/6
Let g(c) be the third derivative of -c**7/840 + c**6/15 + c**5/120 - c**4 + 106*c**3/3 - 247*c**2. Let m(f) be the first derivative of g(f). Factor m(r).
-(r - 24)*(r - 1)*(r + 1)
Factor 31*d**2 - 30017797 + 30017797 - d**3.
-d**2*(d - 31)
Let w(i) be the second derivative of -i**5/15 + 5*i**4/3 + 68*i**3/9 - 1871*i. Factor w(r).
-4*r*(r - 17)*(r + 2)/3
Suppose -355 = -14*i + 401. Let q = 54 - i. Let -4/5*y + q + 4/5*y**2 = 0. What is y?
0, 1
Let y(x) be the third derivative of x**5/300 + 29*x**4/60 - 59*x**3/30 + 2*x**2 - 497. Factor y(q).
(q - 1)*(q + 59)/5
Factor 3715*o**2 - 1484*o**3 - 50/3*o + 0 + 445/3*o**4.
o*(o - 5)**2*(445*o - 2)/3
Suppose 0 = 5*j + 3*b - 54, 2*b - 8 = -2. Let u be j/22 - (-40)/440. Factor -u - 5/4*p - p**2 - 1/4*p**3.
-(p + 1)**2*(p + 2)/4
Let u(g) = 48*g - 44. Let o be u(1). Let q(w) be the second derivative of -3/28*w**o + 3/14*w**3 - 3/14*w**2 - 4*w + 3/140*w**5 + 0. Factor q(b).
3*(b - 1)**3/7
Let p = -306 - -317. Suppose 16*f - p*f = 15. Factor -2/15*n**4 - 2/3*n**2 + 0 - 8/15*n**f - 4/15*n.
-2*n*(n + 1)**2*(n + 2)/15
Let q(s) = -13*s**2 - 3117*s - 399384. Let g(m) = 4*m**2 + 1038*m + 133128. Let w(o) = -7*g(o) - 2*q(o). Let w(p) = 0. What is p?
-258
Let y(z) = 6*z + 52. Let j be y(-8). Suppose -4*x = 3*v - 4, -5*v + 2 = -2*x + j*x. Determine g, given that v + 2/3*g - 8/3*g**2 - 2/3*g**3 + 8/3*g**4 = 0.
-1, 0, 1/4, 1
Su