**2 + 822*z**3 - 819*z**3 + 16*z - 31. Factor a(l).
(3*l - 4)**2
Let s(v) be the first derivative of 3*v**4/4 + 11*v**3 - 63*v**2 - 511. Solve s(i) = 0.
-14, 0, 3
Let s = -195 + 152. Let r be -5 + 0 + s/(-3). Suppose 2/3 - 1/3*o**3 - 10*o**2 + r*o**4 + 1/3*o = 0. What is o?
-1, -1/4, 2/7, 1
Determine p so that 5*p**2 - p - 3 - 1001*p**3 - 999*p**3 - 3*p + p**4 - 3*p**2 + 2004*p**3 = 0.
-3, -1, 1
Let a(v) be the third derivative of -v**8/336 - v**7/105 + v**6/15 - v**5/30 - 7*v**4/24 + 2*v**3/3 + 58*v**2 - v. Factor a(b).
-(b - 1)**3*(b + 1)*(b + 4)
Let f(g) be the first derivative of -5*g**3/3 + 110*g**2 - 2420*g - 51. Let f(o) = 0. Calculate o.
22
Suppose 0 = -5*j - 2*k + 18, 2*j + 2*j + k - 12 = 0. Suppose j*u + u = 3. Solve 0*o + 0 + o**4 - o**5 + 2*o**3 - o + 0*o**2 - 2*o**2 + u = 0.
-1, 1
Suppose 6*l - 152 = -134. Let c(y) be the second derivative of 0*y**4 - 3/20*y**5 + 1/20*y**6 + 5*y + 0 + 1/2*y**l - 3/4*y**2. Factor c(x).
3*(x - 1)**3*(x + 1)/2
Let s(j) be the third derivative of -j**5/15 + 91*j**4/3 - 362*j**3/3 + 524*j**2. Let s(i) = 0. What is i?
1, 181
Let g = -78 - -84. Let w = 8 + -4. Solve -g*s**4 - w*s**5 + 7*s**5 + 6*s**2 - 3*s**3 + s**3 - s**3 = 0.
-1, 0, 1, 2
Let o(j) = 5*j - 60. Let i be o(18). Let r be ((-45)/i)/((-1)/2). Suppose -1/4*b**r + 1/2*b**2 + 0 - 1/4*b = 0. Calculate b.
0, 1
Let h(w) = 6*w**2 - 2*w + 1. Let x be h(1). Determine p, given that -6*p**4 + x*p**2 - 43*p**4 - 4 - 21*p - 2*p**2 + p + 70*p**3 = 0.
-2/7, 1
Let c = -106/5 - -22. What is h in -8/5*h**2 - 4/5*h**3 + 2/5*h + 4/5 + 2/5*h**5 + c*h**4 = 0?
-2, -1, 1
Factor 2/7*j**2 - 6*j + 136/7.
2*(j - 17)*(j - 4)/7
Let n(a) = -2*a**3 - 45*a**2 - 217*a. Let y be n(-7). Suppose -1/4*t + 1/4*t**2 + y = 0. What is t?
0, 1
Let l(n) be the second derivative of -1/3*n**3 - 1/20*n**5 - 13*n + 1/4*n**4 + 0*n**2 + 0. Suppose l(d) = 0. Calculate d.
0, 1, 2
Let p(s) be the first derivative of -5/4*s**4 + 3*s**5 - 30 - 35/3*s**3 + 20*s + 5/6*s**6 + 0*s**2. Find g such that p(g) = 0.
-2, -1, 1
Let b(g) be the first derivative of 2/5*g**5 + 0*g - 2/3*g**3 - 1 + 2*g**2 - g**4. Let b(i) = 0. What is i?
-1, 0, 1, 2
Let n = 15069 + -15066. Solve 4/5*b**2 + 8/5*b + 2/5*b**4 - 8/5*b**n - 6/5 = 0 for b.
-1, 1, 3
Let y(j) be the third derivative of 0 - 2*j**2 - 1/18*j**3 - 1/60*j**5 - 1/18*j**4 + 0*j. Suppose y(z) = 0. Calculate z.
-1, -1/3
Let m(s) be the first derivative of 0*s**2 + 1/20*s**5 + 0*s - 1/4*s**4 + 0*s**3 + 4. Suppose m(h) = 0. What is h?
0, 4
Let v(i) be the second derivative of -2/3*i**3 + i - i**2 - 1/6*i**4 + 4. Determine w so that v(w) = 0.
-1
Let h(u) be the second derivative of u**5/20 - 17*u**4/12 + 21*u**3/2 + 81*u**2/2 + 42*u + 2. Determine g, given that h(g) = 0.
-1, 9
Let w(x) be the second derivative of 338/9*x**2 + 0 + 1/27*x**4 - 52/27*x**3 + 8*x. Factor w(l).
4*(l - 13)**2/9
Let b(c) be the first derivative of -5 + 0*c - 1/2*c**3 - 3/4*c**2 + 3/10*c**5 + 3/8*c**4. Factor b(i).
3*i*(i - 1)*(i + 1)**2/2
Let d = 2/231 - -914/1155. Solve -d*i + 1/5*i**2 + 4/5 = 0.
2
Let b = -40415/16 + 2526. Let a(g) be the second derivative of b*g**4 + 0 + 6*g**2 - 10*g - g**3. Factor a(q).
3*(q - 4)**2/4
Let k(w) be the third derivative of w**6/240 - 59*w**5/40 + 3481*w**4/16 - 205379*w**3/12 - 323*w**2. Determine j so that k(j) = 0.
59
Let a = 23 + -20. Let 4*n**2 - 10*n**2 + a*n**2 + 6*n = 0. Calculate n.
0, 2
Let a = -6/589 - -1280/10013. Factor -32/17 + 16/17*q - a*q**2.
-2*(q - 4)**2/17
Let p(v) = -4*v**3 + v**2 - v. Let n be p(-3). Let f = -159 - -362. Factor 19*q**2 + 250*q**3 + 16 + n*q + 78*q**2 + f*q**2.
2*(5*q + 2)**3
Let d(p) be the second derivative of -1/210*p**7 + 0 + 1/50*p**6 + 0*p**2 - 6*p - 1/20*p**4 + 1/15*p**3 - 1/100*p**5. Determine b so that d(b) = 0.
-1, 0, 1, 2
Let d(a) be the third derivative of -a**6/300 - 16*a**5/25 - 256*a**4/5 - 32768*a**3/15 - 271*a**2. Factor d(v).
-2*(v + 32)**3/5
Solve -36/7*w**4 - 6/7*w**2 - 12/7*w**5 + 0 + 0*w - 27/7*w**3 = 0 for w.
-2, -1/2, 0
Let l(z) be the second derivative of -3*z**5/80 + 3*z**3/8 + 3*z**2/4 - 142*z. Suppose l(g) = 0. What is g?
-1, 2
Suppose -7*v = -12*v + 50. Solve -35 + 13 - 2*s**3 + 18 - 6*s**4 + 2*s + v*s**2 = 0 for s.
-1, 2/3, 1
Let f(w) be the first derivative of -3/7*w**2 + 8 + 3/28*w**4 - 1/7*w**3 + 0*w. Factor f(o).
3*o*(o - 2)*(o + 1)/7
Let q(h) be the third derivative of 2/3*h**3 + 0 + 0*h + 0*h**4 - 1/15*h**5 - 22*h**2. Determine v so that q(v) = 0.
-1, 1
Factor -55/6*t - 10*t**2 + 0 - 5/6*t**3.
-5*t*(t + 1)*(t + 11)/6
Let w(l) be the third derivative of -l**9/3780 + l**8/420 - 2*l**7/525 - 3*l**3/2 - 33*l**2. Let j(o) be the first derivative of w(o). Solve j(g) = 0 for g.
0, 1, 4
Find a, given that 0*a + 3/11*a**3 - 8/11*a**2 + 5/11*a**4 + 0 = 0.
-8/5, 0, 1
Let l = 7/40 + 311/280. Factor l*d + 0 + 18/7*d**3 + 0*d**4 - 3/7*d**5 - 24/7*d**2.
-3*d*(d - 1)**3*(d + 3)/7
Let f(t) be the third derivative of -t**6/180 + t**5/90 - 2*t**2. Factor f(m).
-2*m**2*(m - 1)/3
Let q(o) = 8*o**4 + 31*o**3 + 13*o**2 - o + 3. Let s(l) = -7*l**4 - 31*l**3 - 12*l**2 - 4. Let u(a) = -4*q(a) - 3*s(a). Determine i so that u(i) = 0.
-2, -1, 0, 2/11
Let h(o) = -4*o**2 - 32*o + 5. Let v(g) = 3*g**2 + 32*g - 4. Let t(q) = 4*h(q) + 5*v(q). Factor t(a).
-a*(a - 32)
Let d(x) be the first derivative of 0*x + 0*x**2 + 1/3*x**6 + 19 - 4/5*x**5 + 0*x**3 + 1/2*x**4. Factor d(t).
2*t**3*(t - 1)**2
Suppose 1991*c - 1988*c = 6. Factor -4*s + 0 + 4/3*s**c.
4*s*(s - 3)/3
Let p = 54 - 44. Suppose 0 = p*r - 28 + 8. Factor 1/2*x**4 + 1/4*x + 0 - 1/2*x**r - 1/4*x**5 + 0*x**3.
-x*(x - 1)**3*(x + 1)/4
Suppose -5*q - 16 = -7*q. Suppose -3*k + q = -2*o, 2*k = 5*o - o. Factor 81*r + 63*r - 192 - 5*r**3 - 36*r**o + 8*r**3.
3*(r - 4)**3
Let x = -769/6 + 773/6. Factor 2/3*m**2 - 4/3*m + x.
2*(m - 1)**2/3
Let g(q) be the second derivative of -q**9/30240 + q**7/5040 - q**4/6 - 2*q. Let n(i) be the third derivative of g(i). Factor n(d).
-d**2*(d - 1)*(d + 1)/2
Factor -4/5*u**2 + 6/5 - u.
-(u + 2)*(4*u - 3)/5
Let q(o) = 5*o**3 + 9*o**2 + 6*o. Let c(x) = 11*x**3 + 18*x**2 + 12*x. Let a(b) = -2*c(b) + 5*q(b). Factor a(m).
3*m*(m + 1)*(m + 2)
Let t(u) be the second derivative of u**5/100 + 7*u**4/60 + 7*u**3/15 + 4*u**2/5 - 52*u - 2. Find x, given that t(x) = 0.
-4, -2, -1
Let t(k) be the second derivative of k**6/30 + k**5/4 - 33*k**4/4 + 117*k**3/2 - 189*k**2 + 4*k - 16. What is y in t(y) = 0?
-14, 3
Suppose 67*o = 202 - 1. Solve 0*p - 12/7*p**2 + 0 + 4/7*p**o = 0.
0, 3
Let g = -1205 + 1208. Factor -4/7*k**g + 0*k + 0 + 0*k**2.
-4*k**3/7
Let o(u) = -u**3 - 21*u**2 - 22*u - 28. Let q be o(-20). Find i such that q + 3 + 20*i**2 - 4*i**3 - 14*i - 3 - 14*i = 0.
1, 3
Solve 1 + 3*y + 13967*y**3 - 15*y**2 - 13982*y**3 + 2*y**2 = 0 for y.
-1, -1/5, 1/3
Factor -201/5*k - 1/5*k**3 + 102/5*k**2 + 20.
-(k - 100)*(k - 1)**2/5
Find s, given that -76*s**2 - 38*s + 145*s**2 - 67*s**2 = 0.
0, 19
Let n(q) be the third derivative of -2*q**7/105 + 16*q**6/15 + 252*q**2. Suppose n(r) = 0. What is r?
0, 32
Let b(g) be the third derivative of -g**6/24 - 37*g**5/6 - 365*g**4/24 - 61*g**2 - 5. Solve b(v) = 0.
-73, -1, 0
Factor -9/2*v - 15/4 - 3/4*v**2.
-3*(v + 1)*(v + 5)/4
Let x(b) = b**2. Let s(l) be the second derivative of -l**6/30 + 3*l**5/10 - l**4 - l**3 + 9*l**2/2 + 7*l. Let n(v) = -s(v) - 4*x(v). Let n(u) = 0. What is u?
-1, 1, 3
Let r(u) = 19*u**2 + 41*u + 34. Let q(o) = -35*o**2 - 81*o - 68. Let y(j) = 6*q(j) + 11*r(j). Factor y(f).
-(f + 1)*(f + 34)
Factor -13/3*u - 14/3 + 1/3*u**2.
(u - 14)*(u + 1)/3
Factor -4*b + 12/5*b**2 - 1/5*b**3 + 0.
-b*(b - 10)*(b - 2)/5
Let a(v) be the third derivative of v**8/30240 + v**7/5670 - v**6/3240 - v**5/270 - 5*v**4/12 + 3*v**2. Let n(j) be the second derivative of a(j). Factor n(h).
2*(h - 1)*(h + 1)*(h + 2)/9
Let m(a) be the second derivative of a**2 + 14*a - 1/6*a**4 + 0 - 1/6*a**3 + 1/20*a**5. Find o such that m(o) = 0.
-1, 1, 2
Let o(m) be the third derivative of -11*m**5/30 + 2*m**4 - 40*m**3/3 + 2*m**2. Let j(x) = 7*x**2 - 16*x + 27. Let s(d) = 16*j(d) + 5*o(d). Solve s(i) = 0.
4
Let h(q) = q**3 + q**2 - q. Let z(f) = 5*f**4 + 15*f**3 + 5*f**2 - 5*f. Let t = 51 - 50. Let b(j) = t*z(j) - 5*h(j). Suppose b(g) = 0. Calculate g.
-2, 0
Let q = -98 - -109. Factor -3*n**3 + q*n**4 - 3*n**4 - 11*n**4.
-3*n**3*(n + 