**5 + 16/3*z**3 + z**4 - 20/3*z**j - 64/3 = 0. Calculate z.
-2, -1, 4
Let t(y) be the third derivative of y**5/240 + 135*y**4/8 + 54675*y**3/2 - 60*y**2 + 17*y. Factor t(j).
(j + 810)**2/4
Let w(r) be the third derivative of -r**5/30 - 245*r**4/12 + 2172*r**2 + 3*r. Let w(a) = 0. Calculate a.
-245, 0
Factor -16/5*j**2 - 103/10*j - 7 + 1/10*j**3.
(j - 35)*(j + 1)*(j + 2)/10
Let q(b) = -22*b**2 + 5060*b + 5100. Let s(a) = -19*a**2 + 5064*a + 5098. Let n(k) = 5*q(k) - 6*s(k). Solve n(l) = 0.
-1, 1272
Let t be (14 - (2 - -4)) + 53. Factor -8*l**3 + 2*l**4 - t*l**2 - 8*l + 71*l**2 + 4*l.
2*l*(l - 2)*(l - 1)**2
Let n(o) be the third derivative of -99 - 8/15*o**6 - 4*o**3 + o**2 - 49/6*o**4 - 104/15*o**5 + 0*o. Suppose n(q) = 0. Calculate q.
-6, -1/4
Let h be -6 + (-473)/(-77) + 0 - 26/(-14). Let k(n) be the second derivative of 3/4*n**4 + 16*n - 6*n**h + 0*n**3 + 0 + 3/20*n**5. Factor k(s).
3*(s - 1)*(s + 2)**2
Let w be 558/868*8/(-6)*21/(-9). Factor 0 + 8/17*t**3 - 8/17*t**w + 0*t - 2/17*t**4.
-2*t**2*(t - 2)**2/17
Let d = 173 - 159. Suppose 23*g - 4*g**2 - 6*g - d*g = 0. Calculate g.
0, 3/4
Let m(o) be the second derivative of -9/20*o**4 - 3*o**2 - 47/10*o**3 + o + 30. Factor m(z).
-3*(z + 5)*(9*z + 2)/5
Let f(m) be the second derivative of -m**7/42 + 9*m**6/5 + 28*m**5/5 - 252*m + 3. Find q, given that f(q) = 0.
-2, 0, 56
Let d be -2 + ((-38)/(-171) - 3076/(-9)). Let o be d/102 + (-1)/3. Factor 0 + 20/11*l**2 + 2/11*l**o + 50/11*l.
2*l*(l + 5)**2/11
Factor -408/5 + 2/15*t**2 - 64/5*t.
2*(t - 102)*(t + 6)/15
Let o = 42 + 5. Suppose 0 = -3*a - 6*n + n + 32, -3*a - 2*n + o = 0. Find j, given that 53*j**2 - 35*j**3 - 190*j + 132*j**2 - a + 59 = 0.
2/7, 1, 4
Let s(n) be the second derivative of n**8/90 + 3*n**7/140 - n**6/54 + n**3/6 + 35*n**2/2 - n - 129. Let w(y) be the second derivative of s(y). Solve w(c) = 0.
-5/4, 0, 2/7
Let l(w) be the third derivative of -w**5/60 - 85*w**4/12 + 173*w**3/2 + 154*w**2 - 19. Factor l(x).
-(x - 3)*(x + 173)
Suppose -32*b + 7*b = -100. Factor -6*z**4 - 6*z**4 + 3*z**4 - z**b - 5*z**5 - 5*z**3.
-5*z**3*(z + 1)**2
Suppose h + 38*u + 41 = 34*u, -h - 2*u = 19. Determine m so that -9/2 + 2*m**h - 6*m - 1/2*m**4 + m**2 = 0.
-1, 3
Suppose -69/7 + 3/7*c**5 + 3/7*c - 69/7*c**4 - 6/7*c**3 + 138/7*c**2 = 0. What is c?
-1, 1, 23
Let x be 56/35 + 143/(-780)*6. What is z in 1/2*z - z**2 + 0*z**3 + 0 + z**4 - x*z**5 = 0?
-1, 0, 1
Let a(k) = 2*k**3 + k**2 + 1. Let m be (-6 + 7 + -4)/1. Let l(i) = 8*i**3 + 7*i**2 - 30*i - 69. Let j(n) = m*a(n) + l(n). Let j(d) = 0. What is d?
-3, 4
Solve -13858 - 13222 + 2*f**2 + 26074 - 1004*f = 0.
-1, 503
Let i = 1938 + -223. Find h such that 1715*h + 3*h**2 - i*h + 3*h**3 = 0.
-1, 0
Let a(l) be the first derivative of 5*l**4/8 + 49*l**3/3 + 181*l**2/4 + 44*l - 11555. Solve a(v) = 0 for v.
-88/5, -1
Let n = 1245 - 1210. Let o be ((-42)/n)/(66/(-110)). Solve 6/7*d + 40/7*d**o - 4/7 - 6*d**3 = 0.
-1/3, 2/7, 1
Factor 880/7*b**3 + 54/7*b - 62*b**2 + 0 - 32/7*b**4.
-2*b*(b - 27)*(4*b - 1)**2/7
Suppose 14*m + 132*m + 15*m - 322 = 0. Let w(v) be the second derivative of -3/80*v**5 - 1/4*v**4 - 2*v + 0 + 0*v**3 + 0*v**m. Factor w(o).
-3*o**2*(o + 4)/4
Let t(s) be the second derivative of -2*s**6/15 + s**5/5 + 19*s**4 - 174*s**3 + 648*s**2 + 4378*s. Factor t(d).
-4*(d - 4)*(d - 3)**2*(d + 9)
Let v(u) be the third derivative of -u**7/1050 + 4*u**6/75 - 4*u**5/15 - 80*u**4/3 + 3*u**2 - 3125*u. Let v(m) = 0. What is m?
-8, 0, 20
Let i(f) be the second derivative of f**4/3 + 700*f**3 + 551250*f**2 + 1187*f - 1. Factor i(v).
4*(v + 525)**2
Let y(a) be the first derivative of a**4/8 - 76*a**3/3 + 5925*a**2/4 - 5625*a - 2021. Factor y(d).
(d - 75)**2*(d - 2)/2
Let j(y) be the second derivative of -y**5/150 + 4*y**4/15 - 28*y**3/15 + 61*y**2 - 2*y - 10. Let d(t) be the first derivative of j(t). Factor d(h).
-2*(h - 14)*(h - 2)/5
Let g(q) be the second derivative of 0*q**2 + 3/40*q**5 + 0 + 5/8*q**4 - 213*q + q**3. Determine k so that g(k) = 0.
-4, -1, 0
Let n(u) be the second derivative of -u**5/10 - 4*u**4/3 + 16*u**3 + 11*u - 1. Suppose n(f) = 0. What is f?
-12, 0, 4
Let o be (-60)/(-35) + 8/28. Suppose 5*v - 37*v**o + 0*v + 42*v**2 = 0. Calculate v.
-1, 0
Suppose -104*t = -380*t + 552. Factor 7/2*y**t + 0 + 3/2*y.
y*(7*y + 3)/2
Let k(w) be the first derivative of w**5/390 - w**4/26 + 5*w**3/39 - w**2/2 + 92*w - 43. Let x(i) be the second derivative of k(i). Factor x(y).
2*(y - 5)*(y - 1)/13
Let c(a) = 46 + 6*a + 5*a + 7*a + 4*a. Let t be c(-2). Factor -1 - 1/3*y**t + 4/3*y.
-(y - 3)*(y - 1)/3
Suppose -5*k = -3*f + 31, 0 = 19*k - 16*k + 15. Suppose 5*t = 5*v + 25, -5*v = f*t + 7 - 10. Factor 2/9*z**3 + 0*z + 0 - 4/9*z**2 + 2/9*z**t.
2*z**2*(z - 1)*(z + 2)/9
What is k in -608/3 + 4/9*k**2 + 904/9*k = 0?
-228, 2
Suppose -5*w + 4*d = 2*d - 8, 9 = 4*w + d. Find y such that -3*y**3 - 39*y**2 + 3*y**2 + 0*y**w + 38*y - 71*y = 0.
-11, -1, 0
Let r = -10/893 - -6913/537586. Let z = r + 1503/1204. Factor 1/4*g**2 + z*g + 1.
(g + 1)*(g + 4)/4
Let y be 18/9 + (-5 - (10 - 13)). Solve 16/9*b**4 + 4*b**2 + 0 + 14/3*b**3 + y*b + 2/9*b**5 = 0 for b.
-3, -2, 0
Let u(t) be the third derivative of 11*t**5/15 - 1681*t**4/6 - 204*t**3 + 2*t**2 + 5311*t + 2. Factor u(o).
4*(o - 153)*(11*o + 2)
Let g(w) = -w - 1. Let a be g(-3). Let d be 278/104 + -2 + (-294)/(-3822). Factor 3/4*t**a + 0*t - d.
3*(t - 1)*(t + 1)/4
Let b be (-14)/(-6) + -3*(-5)/(-45). Factor 205*m**2 - 104*m**b - 106*m**2 + 20*m.
-5*m*(m - 4)
Factor -4/3*z**4 + 0 - 16*z + 28/3*z**3 - 16/3*z**2.
-4*z*(z - 6)*(z - 2)*(z + 1)/3
Let v = -217076 + 217101. Factor 0 - v*k - 5/2*k**2.
-5*k*(k + 10)/2
Let b be -7 + 91/14 + (-2)/(-4). Suppose -2*c = 2*u - 0*c, b = u - 2*c - 12. Factor -u*z**4 - z**3 - 3*z**3 + z**3 + z**4 + 15*z**2 - 9*z.
-3*z*(z - 1)**2*(z + 3)
Factor 24613 + 21331 + 1783*k**3 + 184853*k + 13*k**4 + 63857*k**2 - 19010.
(k + 3)*(k + 67)**2*(13*k + 2)
Let z(k) be the first derivative of k**7/840 - k**6/45 + 2*k**3/3 + 14*k**2 + 109. Let t(o) be the third derivative of z(o). Factor t(d).
d**2*(d - 8)
Let z(f) = -16*f**2 + 78*f - 72. Let d(v) = -195*v + 109 + 3 + 26 + 42 + 39*v**2. Let q(b) = -5*d(b) - 12*z(b). Determine x so that q(x) = 0.
1, 12
Suppose f = 0, -2*p - 3 = -3*p - 3*f. Suppose 13*k**2 - 8*k**2 - 3*k**p - 5*k**2 + 3*k = 0. What is k?
-1, 0, 1
Let l(w) = -11*w**2 + 1714*w - 129659. Let d(h) = 5*h**2 - 862*h + 64829. Let t(r) = 5*d(r) + 2*l(r). What is b in t(b) = 0?
147
Factor -2/21*w**3 + 0 + 0*w + 160/3*w**2.
-2*w**2*(w - 560)/21
Let z = -29 + 39. Let f = z - 5. Factor 0*y**2 + 5*y**3 + 10*y**2 - f*y - 15*y - 40.
5*(y - 2)*(y + 2)**2
Let n(w) be the third derivative of -1/20*w**5 - 88*w**2 + 1/2*w**3 + 1/24*w**4 + 0*w + 0 - 1/120*w**6. Factor n(s).
-(s - 1)*(s + 1)*(s + 3)
Let t = 58 - 62. Let r(v) = 13*v**3 + 149*v**2 + 144*v - 4. Let w(h) = 15*h**3 + 150*h**2 + 145*h - 5. Let n(f) = t*w(f) + 5*r(f). Factor n(m).
5*m*(m + 1)*(m + 28)
Let j be 4375/(-490)*4/(-120)*147. Find c, given that -45/4 + 225/4*c - 25/4*c**3 + 5*c**4 - j*c**2 = 0.
-3, 1/4, 1, 3
Let b(a) be the third derivative of -a**5/180 + 55*a**4/12 - 3025*a**3/2 + 8*a**2 + 30*a. Suppose b(w) = 0. Calculate w.
165
Let v(d) = d + 11. Let y be v(-3). Factor -48 - 80*n + 179*n**4 + y*n**3 - 175*n**4 - 28*n**2 - 8*n**2 + 8*n**2.
4*(n - 3)*(n + 1)*(n + 2)**2
Let s = -179 + 191. Let x be (s/70)/((-18)/(-90)). Find c such that 6/7*c**4 + 10/7*c**3 + x*c - 22/7*c**2 + 0 = 0.
-3, 0, 1/3, 1
Let k(y) = 2*y**2 - 130*y - 33. Let c(x) = -3*x**2 + 130*x + 44. Let q(o) = -9*c(o) - 12*k(o). Factor q(a).
3*a*(a + 130)
Let i(l) be the first derivative of -l**5/20 + l**4/2 - 2*l**3 - 42*l**2 + 10. Let h(c) be the second derivative of i(c). Suppose h(k) = 0. Calculate k.
2
Let o(z) be the third derivative of 0*z - 221/120*z**4 - 1/600*z**6 - 169/15*z**3 - 1 + 74*z**2 - 7/75*z**5. Factor o(l).
-(l + 2)*(l + 13)**2/5
Let x be 2*((-4)/28)/((-3)/21). Find k such that -k**x - 8 + 16*k - 24 - k**2 = 0.
4
Suppose -4/9*h**2 - 54756 + 312*h = 0. Calculate h.
351
Let k(f) = 2*f**2 + 58*f + 116. Let r be k(-27). Suppose -389*n + 10*n**2 + 389*n - r - 2*n**4 = 0. Calculate n.
-2, -1, 1, 2
Let o be 99/21 - (-1)/14*4. Let d(c) = -4*c**4 - 4*c**3 + 4*c**2 + 4*c. Let u(x) = 9*x**4 + 8*x**3 - 9*x**2 - 8*x. Let q(g) = o*d(g