**3/7 - 41*z**2 - 42. Let j(a) be the second derivative of c(a). Factor j(d).
-2*(d - 6)*(d - 1)**2/7
Suppose -2*z + 2*x + 24 = 8, 54 = 3*z + 3*x. Let c be -1 + 10 + (8 - z). Factor c*t - 89*t**3 - 4*t + 88*t**3 - 3*t**2.
-t**2*(t + 3)
Suppose g + 4 = -3*z, -3*g + 24 = z - 4*z. Suppose -d = -g + 2. Factor 9 - d - p + 69*p**2 - 70*p**2.
-(p - 2)*(p + 3)
Let a(s) be the second derivative of -1/18*s**6 - 1/10*s**5 + 0 + 0*s**2 + 1/9*s**4 - 1/126*s**7 - 15*s + 4/9*s**3. Factor a(h).
-h*(h - 1)*(h + 2)**3/3
Let a(j) be the first derivative of -245/3*j**3 + 70*j**2 + 112 - 20*j. Determine b, given that a(b) = 0.
2/7
Let u = -35863/39 - -23913/26. Suppose 1/6*v**2 + 4/3*v - 7/6*v**3 - u*v**5 + 2/3 - 5/6*v**4 = 0. What is v?
-2, -1, 1
Let s(x) be the second derivative of -4 - 5/3*x**4 + 32/3*x**3 - 32*x**2 + 1/10*x**5 + 2*x. Factor s(u).
2*(u - 4)**2*(u - 2)
Let c be 28 - ((-16)/12)/((-10)/(-15)). Determine b, given that 77*b**2 + 2*b + 8 - 4*b - 85*b**2 - 28*b**3 + c*b = 0.
-1, -2/7, 1
Let m be (6 - 6)/(105/21)*7/21. Let m*z + 2*z**3 - 2/5*z**4 + 12/5*z**2 + 0 = 0. Calculate z.
-1, 0, 6
Let r(u) = u**4 + u**3 + 2*u**2 - u + 1. Let n(k) = k**4 - 2*k**3 - 55*k**2 + 110*k - 62. Let h be (-1)/6 - (-406)/348. Let i(g) = h*n(g) + 2*r(g). Factor i(b).
3*(b - 2)**2*(b - 1)*(b + 5)
Let w(q) = -q**3 - q**2 - 6*q - 25. Let u be w(-3). Suppose 0 = -0*g - u*g - 12*g. Let -3/7*i**4 + g - 6/7*i**2 + 9/7*i**3 + 0*i = 0. Calculate i.
0, 1, 2
Let z(l) be the second derivative of -l**5/130 + 37*l**4/39 - 535*l**3/39 + 462*l**2/13 - 265*l + 3. Solve z(q) = 0 for q.
1, 7, 66
Let k be (18/4)/(6/108). Factor -3*h**3 + 516 + 1304 - 104 + 471 - 729*h + k*h**2.
-3*(h - 9)**3
Let b(f) = 7*f**3 + 214*f**2 + 155*f - 88. Let n(t) = -t**2 - 2*t + 5. Let c(r) = b(r) + 6*n(r). Find k such that c(k) = 0.
-29, -1, 2/7
Let v(g) be the third derivative of g**5/4 + 327*g**4/16 - 99*g**3/4 + g**2 + 1760. Solve v(j) = 0.
-33, 3/10
Let c(h) be the third derivative of -5/6*h**5 - 145/72*h**4 - 7/72*h**6 + 0 - 37*h**2 + 0*h - 5/3*h**3. Factor c(j).
-5*(j + 1)*(j + 3)*(7*j + 2)/3
Let k = -21 + 25. Factor 14*a**4 - 16*a**4 + 6*a**k - 24*a + 4*a**2 + 16*a**3.
4*a*(a - 1)*(a + 2)*(a + 3)
Let v(b) be the second derivative of -b**6/60 + b**5/40 + 9*b**4/8 + 9*b**3/4 - 27*b**2/2 - 901*b. Find x such that v(x) = 0.
-3, 1, 6
Let y(q) be the third derivative of 0*q + 1/6*q**4 + 0 + 34/3*q**3 - 1/30*q**6 - 126*q**2 - 17/15*q**5. Factor y(s).
-4*(s - 1)*(s + 1)*(s + 17)
Let m = 1066/1263 + -3001/5052. Determine i so that m*i**2 - 11/2*i + 121/4 = 0.
11
Factor 5/2*x**2 + 159 - 797/2*x.
(x - 159)*(5*x - 2)/2
Let f(o) be the third derivative of o**8/1680 - 11*o**7/525 + 2*o**6/75 + 17*o**5/50 + 21*o**4/40 - 2814*o**2. Suppose f(k) = 0. What is k?
-1, 0, 3, 21
Let n(y) be the second derivative of y**5/72 + 5*y**4/24 + 5*y**3/4 + 26*y**2 - 163*y. Let j(o) be the first derivative of n(o). What is u in j(u) = 0?
-3
Let v(b) be the second derivative of b**4/6 + 193*b**3/3 + 382*b**2 + 4*b - 488. Solve v(x) = 0 for x.
-191, -2
Let p = -393 + 396. Suppose -3*g + p*x + 26 = -x, -4*x = 5*g + 10. Find c, given that 1/3*c - 1/3*c**3 - 1/6*c**4 + 0 + 1/6*c**g = 0.
-2, -1, 0, 1
Let i be (-120 + 128)/(110/(-332)). Let r = -118/5 - i. Factor -r*t**3 - 14/11*t + 16/11*t**2 + 4/11.
-2*(t - 1)**2*(3*t - 2)/11
Find o such that 120*o + 90*o**3 - 100 + 95*o**2 - 428*o**3 + 138*o**3 + 100*o**3 + 10*o**2 + 15*o**4 = 0.
-1, 2/3, 2, 5
Let n(r) be the third derivative of 2*r**7/735 + 13*r**6/105 + 16*r**5/15 + 25*r**4/7 + 6*r**3 + 501*r**2. Solve n(k) = 0.
-21, -3, -1
Let 2946/5*p + 0 - 3/5*p**2 = 0. What is p?
0, 982
Let v = -5/398 - -102/199. Let f be 14/42*1*6. Let -v*l**f - 1/2 + l = 0. Calculate l.
1
Suppose -101*k = -106*k + 50. Let h = 177 - 121. Determine c, given that -4 - 54*c**4 - 6*c**3 + k*c - 3*c**2 + 5*c**2 + h*c**4 - 4*c = 0.
-1, 1, 2
Let q = 259 - 259. Let a(l) be the third derivative of q*l**4 + 0*l + 7*l**2 - 1/240*l**6 + 1/24*l**5 + 0 + 0*l**3. Let a(k) = 0. Calculate k.
0, 5
Let f be (-2)/9 + 80/(-202608)*-3441. Let b = f + 10/67. Factor -b*s**5 + 6/7*s**2 + 24/7*s**4 + 0 - 3*s**3 + 0*s.
-3*s**2*(s - 1)**2*(3*s - 2)/7
Let p(b) be the first derivative of 22*b**3 - 3467*b**2 + 420*b + 2537. Let p(i) = 0. Calculate i.
2/33, 105
Let k(q) = 1123*q - 168. Let s be k(-2). Let n = s - -2418. Factor 69/5*c**2 + 6/5*c**3 - 432/5 - 3/5*c**n - 72/5*c.
-3*(c - 4)**2*(c + 3)**2/5
Let u = 954337/858879 - 3/95431. Factor u*o**2 + 154/9*o + 20/3.
2*(o + 15)*(5*o + 2)/9
Let k be (-13 - -7) + ((-310)/(-42) - 12/(-42)). Factor 0 + 20/3*d + 5*d**2 - k*d**3.
-5*d*(d - 4)*(d + 1)/3
Let a(z) = 5*z**3 + z**2 + 2*z + 3. Let d be (-2)/6*-9 + -1. Let h(r) = -r + 9*r**3 + 3*r**d + 5 + 0*r**3 + 5*r. Let x(c) = -5*a(c) + 3*h(c). Factor x(n).
2*n*(n + 1)**2
Factor 33*t + 61 - 2 + 3*t**3 + 6*t + 31 - 20*t**2 - 28*t**2.
3*(t - 15)*(t - 2)*(t + 1)
Suppose -2*d + f + 2 = 0, 5*d - 4 = f + f. Suppose 2*s - 5*k + 0*k + 8 = d, -26 = -s - 5*k. Factor -12 + s + 8*z - 3*z**2 + 4*z**2 - 3*z**2.
-2*(z - 3)*(z - 1)
Let q(s) be the first derivative of 2*s**6/3 - 21*s**5/5 - 19*s**4/4 + 2*s**3 - 859. Solve q(o) = 0 for o.
-1, 0, 1/4, 6
Let i = 33 + -29. Let d be i + (2 - 7) + 101. Factor 45*q**5 - 49*q**5 + 240*q**2 + 48*q**4 - 125*q**3 - d*q - 59*q**3.
-4*q*(q - 5)**2*(q - 1)**2
Suppose 0 = -30*o + 44*o - 812. Suppose 161*r - 132*r = o. Determine l so that -3/10 + 2/5*l - 1/10*l**r = 0.
1, 3
Let h(n) be the second derivative of -11/12*n**3 + 0 - 1/40*n**5 - 147*n - 3/2*n**2 - 1/4*n**4. Let h(t) = 0. What is t?
-3, -2, -1
Let f be -29 - 1333/602*-14. Let 2 - 1/2*q**f + 0*q = 0. Calculate q.
-2, 2
Let q(x) be the third derivative of -37/3*x**4 + 0 - 2738/3*x**3 + 2*x + 40*x**2 - 1/15*x**5. Factor q(a).
-4*(a + 37)**2
Let p(f) be the second derivative of -1/12*f**4 - 32*f + 0 + 1/2*f**3 + 0*f**2. Let p(k) = 0. Calculate k.
0, 3
Let f(a) be the third derivative of -1/1680*a**8 + 0*a**3 - 1/100*a**6 + 7/120*a**4 - 2*a**2 + 4/525*a**7 + 62 - 2/75*a**5 + 0*a. Solve f(r) = 0.
-1, 0, 1, 7
Let c be 373/3 + 4/6. Solve -15*t**3 - c*t**2 + 0*t**3 + 15*t - 27*t - 28*t = 0 for t.
-8, -1/3, 0
Let c = -86 - -80. Let n be ((-10)/4 - -4)/(c/(-8)). Determine u, given that 1 + 6*u**4 + 5 - 18*u**2 - u - 2*u + n*u**3 - 5*u**3 = 0.
-1, 1/2, 2
Factor 29*f**2 - 3*f**3 + 104 - 5*f**2 + 89 - 217 + 3*f.
-3*(f - 8)*(f - 1)*(f + 1)
Let f be (182/(-28) - -6)/(-5). Let z(q) be the first derivative of -2/5*q**3 + 6/25*q**5 - f*q**6 + 0*q**4 - 42 + 0*q + 3/10*q**2. Solve z(a) = 0.
-1, 0, 1
Factor -12*x**4 + 20*x**2 + 8*x**5 - 60*x**3 - 8*x**4 + 75*x**3 - 3*x**5 - 20*x.
5*x*(x - 2)**2*(x - 1)*(x + 1)
Let b(q) be the first derivative of -146 - 2/9*q**3 - 6*q + 2*q**2. Determine y so that b(y) = 0.
3
Let s(k) be the second derivative of -3/4*k**2 - 1/20*k**6 - 2 + 5/4*k**5 - 29/12*k**4 + 23/12*k**3 - 3/28*k**7 + 38*k. Solve s(x) = 0 for x.
-3, 1/3, 1
Suppose -27 = -3*p - g - 26, -5*p + 20 = -2*g. Let h be 0*(-1)/(-1 - -2). Find a, given that -1/4*a**p + 1/4 + h*a = 0.
-1, 1
Let u be (2/(-2))/((-2 + 6)/(-136)). Let t = -16 + u. Find w, given that -4*w - t*w**2 + 2*w + 10 + 7*w + 13*w**2 = 0.
-1, 2
Factor 3*w**2 - 219/2 + 213/2*w.
3*(w - 1)*(2*w + 73)/2
Determine d so that 75/2 + 1/2*d**5 - 13*d**3 + 3/2*d**4 - 39*d**2 + 25/2*d = 0.
-5, -3, -1, 1, 5
Let o(a) be the third derivative of a**5/240 + 55*a**4/96 + 9*a**3/4 - 2*a**2 + 1031. Factor o(t).
(t + 1)*(t + 54)/4
Let t(k) = 5*k**3 + 2*k**2 - k. Let w(d) = -13*d**3 - 6*d**2 + 3*d. Let h be -3 - -2 - (12 - 10). Let r(b) = h*w(b) - 8*t(b). Find m such that r(m) = 0.
0, 1
Let r(t) = -16*t**4 - 30*t**3 - 106*t**2 + 46. Let p(i) = i**4 + 2*i**3 + 7*i**2 - 3. Let f(o) = 92*p(o) + 6*r(o). Let f(z) = 0. What is z?
-1, 0, 2
Let s be (-286)/154 - 858/(-154). Determine r, given that 0*r + 0 + 30/7*r**2 + s*r**3 - 6/7*r**4 - 2/7*r**5 = 0.
-5, -1, 0, 3
Let a(p) = -42*p - 1845. Let g be a(-44). Let l(r) be the first derivative of -28 + 1/2*r**g + 3/2*r + 3/2*r**2. Find u such that l(u) = 0.
-1
Let m(q) = -q**2 - 11*q + 155. Let l = 679 + -698. Let w be m(l). Factor 1/3*f**4 + 0*f + 0*f**2 + 0 + 2/3*f**w.
f**3*(f + 2)/3
Let l(w) be the first derivative of 23 + 10*w + 1/48*w**4 - 1/4*w**2 + 5/24*w**3 - 3/40*w**5. Let m(i) be the first derivative of l(i). F