/9 - 1/9*z**2.
-(z - 2)*(z + 10)/9
Determine f, given that 107*f**4 + 1908*f**3 + 133*f**4 + 3*f**5 + 2376*f + 0*f**5 + 939*f**3 + 4986*f**2 = 0.
-66, -12, -1, 0
Let j(v) = 74*v**3 + 1120*v**2 - 102679*v - 103781. Let h(q) = -85*q**3 - 1121*q**2 + 102680*q + 103780. Let p(l) = -7*h(l) - 8*j(l). Factor p(u).
3*(u - 186)**2*(u + 1)
Let u(m) = -m**2 + 8*m + 3. Let i be u(8). Let p = 191 + -189. Find b, given that -5*b - 8*b - 9*b**3 + 0*b**i + 7*b + 15*b**p = 0.
0, 2/3, 1
Let v(n) be the third derivative of -n**5/90 - 263*n**4/18 + 352*n**3/3 + 55*n**2 - 58*n. Solve v(o) = 0 for o.
-528, 2
Factor -1005*a - a**3 - 3*a**3 - 248*a**2 - 1920 + 56*a**2 - 323*a.
-4*(a + 2)*(a + 6)*(a + 40)
Let y(b) be the first derivative of b**3 - 57/8*b**2 - 15/4*b + 28. Solve y(z) = 0.
-1/4, 5
Let t(z) be the second derivative of -z**5/70 - 137*z**4/42 - 527*z**3/21 + 95*z**2 - 3144*z. What is h in t(h) = 0?
-133, -5, 1
Let p be (6 - 70/12)*-32*(-4)/96. Factor 72 + 8*n + p*n**2.
2*(n + 18)**2/9
Let v = -50 + 53. Let h(t) be the first derivative of -23*t - v*t**3 + 2*t**3 + 12*t**2 - 31*t - 20 + 6*t. What is u in h(u) = 0?
4
Let b(q) = 84*q**2 - 16*q - 14. Let y be b(-6). Find x, given that 794 - y - 2584*x + 2*x**4 - 20*x**3 - 56*x**3 - 858*x**2 + x**4 - 5*x**4 = 0.
-17, -2
Let o(f) be the third derivative of f**9/128520 - f**7/5355 - f**4/8 - f**3/3 - 58*f**2. Let c(w) be the second derivative of o(w). Factor c(p).
2*p**2*(p - 2)*(p + 2)/17
Factor 974*v**2 + 100556*v**3 - 100151*v**3 - 4*v + 566*v**2 - 320 + 1304*v.
5*(v + 2)**2*(81*v - 16)
Suppose -2*c = 4*d - 3*d - 1, -3*c = -5*d - 34. Let i(q) be the second derivative of -1/3*q**c + 0*q**2 + 10*q + 0 - 1/18*q**4. Solve i(z) = 0 for z.
-3, 0
Let k(s) = -2*s + 0 + 3*s - 2 + 1. Let o = 487 + -485. Let w(d) = -15*d**2 - 19*d - 8. Let h(p) = o*k(p) - w(p). Solve h(q) = 0.
-1, -2/5
Find u, given that 2*u**2 - 74*u - 459*u + 6*u**2 + 532 + u**2 - 8*u**2 = 0.
1, 532
Let q(i) = i**2 + 6*i + 14. Let g be q(-7). Let y be (-6)/30 - g/(-5). Find k, given that -6*k - 16*k**y - k**2 + 24*k**4 - 7*k**2 + 6*k**3 = 0.
-1, -3/4, 0, 1
Suppose 5*q - 18 = h - 65, -7*h - 4*q - 22 = 0. Determine f, given that 0 + 9/2*f**3 - 3*f - 3/2*f**h - 3/2*f**5 + 3/2*f**4 = 0.
-1, 0, 1, 2
Let x(m) be the first derivative of 28*m**2 + 0*m + 82 + 2*m**6 - 44*m**3 + 68/5*m**5 - 33*m**4. Determine t so that x(t) = 0.
-7, -1, 0, 1/3, 2
Let l be ((-88)/18 - -6)*(-3)/(-5). Let x be (-18668)/(-156) + (-3 - 0). Factor 92/3*z**3 + l*z**5 + 250/3 - x*z + 26/3*z**4 - 20/3*z**2.
2*(z - 1)**2*(z + 5)**3/3
Let a(m) be the third derivative of -19*m**7/105 + 853*m**6/60 + 109*m**5/30 - 853*m**4/12 - 30*m**3 + 40*m**2 + 38*m. Solve a(r) = 0 for r.
-1, -2/19, 1, 45
Factor 0*b - 384/7*b**3 + 0 - 2/7*b**5 + 1024/7*b**2 + 48/7*b**4.
-2*b**2*(b - 8)**3/7
Let z be (33 - 4455/132)/(2 + 33/(-12))*0. Let m = 1045/497 - -13/71. Determine h, given that z - 2/7*h**2 - m*h = 0.
-8, 0
Let f(m) be the third derivative of -m**6/15 - 61*m**5/15 + 233*m**4/6 - 340*m**3/3 + 66*m**2 + 13. Find y such that f(y) = 0.
-34, 1, 5/2
Suppose -2/7*v**3 - 92/7*v**2 + 8/7*v + 368/7 = 0. Calculate v.
-46, -2, 2
Let a be (-1)/(-3) + (-2)/6. Let l be (-24)/(-6) + 1/(a - -1). Factor 2*z**2 + z - 6*z**3 - 4 + 0*z**3 + l*z + 0*z + 2*z**4.
2*(z - 2)*(z - 1)**2*(z + 1)
Let o(z) be the first derivative of z**3/15 + 189*z**2/10 + 490*z + 1285. Factor o(d).
(d + 14)*(d + 175)/5
Let y(z) be the second derivative of -1/2*z**4 - 5*z - 6*z**2 - 7/2*z**3 + 3/20*z**5 + 0. Factor y(g).
3*(g - 4)*(g + 1)**2
Let s(x) = 12*x**2 + 159*x - 3. Let i(t) = -t**3 + 37*t**2 + 474*t - 8. Let l(g) = 3*i(g) - 8*s(g). Suppose l(z) = 0. Calculate z.
-5, 0, 10
Let w(n) be the third derivative of -n**8/20160 - n**7/3780 - n**6/2160 + 59*n**5/60 - n**3/6 - 40*n**2. Let r(p) be the third derivative of w(p). Factor r(i).
-(i + 1)*(3*i + 1)/3
Let v = -156 - -470/3. Let q be 25/5 - ((-50)/15)/(-2). Factor -4*w**2 + 0 - v*w**3 - q*w.
-2*w*(w + 1)*(w + 5)/3
Factor 138338 + 1052/3*s + 2/9*s**2.
2*(s + 789)**2/9
Let y(x) be the first derivative of 40 + 0*x**2 + 16/3*x**3 + 0*x + x**4. Factor y(z).
4*z**2*(z + 4)
Factor -3309 + 5*z**2 - 75*z + 1263 + 1244 + 0*z**2 + 1052.
5*(z - 10)*(z - 5)
Solve -592*z**3 + 135*z**4 - 78*z**3 - 119*z**2 + 153*z**2 + 776*z**2 - 945 + 675*z - 350*z**5 + 345*z**5 = 0 for z.
-1, 1, 3, 21
Let m = 170 + -360. Let v = m + 193. Suppose -13/5*i**4 - 2/5*i + i**5 + 1/5*i**2 + 0 + 9/5*i**v = 0. What is i?
-2/5, 0, 1
Let z be (2*(-2)/(-12))/(10486/62916). Let -1/6*s**z + 11/2 + 4/3*s = 0. Calculate s.
-3, 11
Find s, given that 2/11*s**2 + 8*s + 88 = 0.
-22
Suppose -3*j + 15 = 2*j. Let f be j/2*(-48)/(-36). Solve -3*l - 9*l**2 + 2*l**f + 6 + 4*l**2 = 0 for l.
-2, 1
Factor -20*x + 280*x + 88*x**2 - x**3 + 6*x**3 + 220 - 20*x - 13*x**2.
5*(x + 2)**2*(x + 11)
Let h(a) = -a**3 + 3*a - 1. Let g be h(2). Let s = g + 5. What is q in 12*q**4 - 6*q**3 + 0*q - 4*q + 9*q**5 - 12*q**s + q**3 = 0?
-1, -2/3, 0, 1
What is w in 30771*w - 122*w**4 - 5439*w**2 - 21390 + 3*w**5 - 182*w**4 + 1674*w**3 + 187*w**4 - 10551 - 5319*w**2 = 0?
3, 7, 13
Suppose -4832/7*a + 4/7*a**3 + 580/7*a**2 + 9792/7 = 0. Calculate a.
-153, 4
Suppose -4*z = -3*l - 3, 2*z + 26 = 5*l - 9*l. Let n be (-65)/(-60) - (l + (-19)/(-4)). Factor -n*a - 1/3*a**2 + 5/3.
-(a - 1)*(a + 5)/3
Let f(y) be the second derivative of -y**4/90 + 124*y**3/3 - 57660*y**2 - 1157*y. Find g such that f(g) = 0.
930
Let a(r) be the second derivative of r**7/70 - r**6/20 - 11*r**5/20 + 3*r**4/2 + 116*r**2 + r - 22. Let d(n) be the first derivative of a(n). Factor d(m).
3*m*(m - 4)*(m - 1)*(m + 3)
Factor -2972*z + 5942*z + 2 - 2970*z - 2*z**2.
-2*(z - 1)*(z + 1)
Let c(m) be the second derivative of -m**4/27 + 16*m**3/9 - 2*m - 309. Factor c(b).
-4*b*(b - 24)/9
Let c = -89933 - -269801/3. Solve 1/3*s**3 + c + 5/3*s + 4/3*s**2 = 0.
-2, -1
Let q(x) be the third derivative of -1/735*x**7 - 3/7*x**3 + 0 + 0*x**6 + 1/21*x**5 + 0*x**4 + 139*x**2 + 0*x. Solve q(c) = 0.
-3, -1, 1, 3
Let c(m) be the first derivative of -3*m**2 + 3/5*m**5 - 74 + 3/2*m**4 - 3*m + 0*m**3. Determine z, given that c(z) = 0.
-1, 1
Let d(s) be the first derivative of s**4/18 + 202*s**3/9 - 613*s**2/9 - 610*s/3 - 3178. Determine f so that d(f) = 0.
-305, -1, 3
Let b = -204 + -35. Let t = b - -241. Solve 3/2*j**3 + 0*j + 1/6*j**5 + 0 + 0*j**t - j**4 = 0.
0, 3
Suppose -2*j = 3*r - 28, 5*r + 9347*j - 28 = 9345*j. Factor r + 0*a + 3/7*a**3 + 12/7*a**2.
3*a**2*(a + 4)/7
Let c(i) be the first derivative of i**4/14 - 22*i**3/21 - 2*i**2/7 + 240*i/7 - 1704. Suppose c(v) = 0. What is v?
-3, 4, 10
Let a(f) be the first derivative of -2*f**5/45 - f**4/2 - 16*f**3/27 + 76. Factor a(t).
-2*t**2*(t + 1)*(t + 8)/9
Let g be -5 + 2 - (4 - (-1 + 10)). Factor -10*a**3 - 6 - 26*a**2 + 2 - g - 22*a + 0.
-2*(a + 1)**2*(5*a + 3)
Factor -1/2*x**3 - 27/2*x**2 - 24 - 37*x.
-(x + 1)*(x + 2)*(x + 24)/2
Let h = 151 - 135. Let b be ((-56)/h)/(-7) - (-10)/8. Suppose 1/4*n**2 - b*n + 3/2 = 0. What is n?
1, 6
Solve -840752/7*q - 843746/7*q**2 - 279752/7 - 1502/7*q**4 - 2/7*q**5 - 284246/7*q**3 = 0 for q.
-374, -1
Suppose 39/11*w**2 - 4/11*w**3 + 92/11 - 108/11*w = 0. Calculate w.
2, 23/4
Suppose -10*j + 0*j = -50. Factor 2 - 80*p - 20 + 161*p**2 - 81*p**2 - 5*p**j - 142 - 10*p**4 + 40*p**3.
-5*(p - 2)**2*(p + 2)**3
Suppose 5*o + 75 = -4*u, o + 8*u = 3*u - 36. Let b be 4/((-4)/o) + -3. Find d such that 4*d + b + 1/2*d**2 = 0.
-4
Let i(d) be the second derivative of d**6/210 + 3*d**5/140 - 2*d**4/7 + 2*d**3/3 - 25*d - 2. Factor i(t).
t*(t - 2)**2*(t + 7)/7
Determine y, given that 148 - 8470*y**2 - 51*y**3 + 30*y**3 - 55*y**3 + 8323*y**2 - y**4 + 29*y + 47*y = 0.
-74, -2, -1, 1
Let m(d) be the second derivative of d**4/12 - 61*d**3/2 + 91*d**2 + 17*d + 26. Factor m(x).
(x - 182)*(x - 1)
Let t be 0/(2 + 2 + (92 - 89)). Factor -1/4*j**5 + 9/4*j**4 + 27/4*j**2 + 0 - 27/4*j**3 + t*j.
-j**2*(j - 3)**3/4
Let w(n) be the first derivative of -14*n**5/25 + 20*n**4/3 + 44*n**3/3 + 8*n**2 + 22*n/15 - 382. Let w(a) = 0. What is a?
-1, -1/3, -1/7, 11
Let -56/11 - 24/11*u + 2/11*u**2 = 0. What is u?
-2, 14
Let o be (0 - 0) + 1 + -2. Let d(i) = -2*i**3 + i**2 + 2*i + 2. Let w be d(o). Suppose x**w + 2*x**2 + 0*x**2 - 2*x**2 + x - 2*x**2 = 0. Calculate x.
0, 1
Let k = 