/27 + 6475*r**2. Suppose w(c) = 0. Calculate c.
-1874
Suppose -577 = -181*t - 215. Factor 8/3 + 2/3*y**3 + 4/3*y**t - 14/3*y.
2*(y - 1)**2*(y + 4)/3
Let j(m) be the first derivative of -m**4/8 + m**3/3 + 15*m**2/4 + 8495. Solve j(g) = 0 for g.
-3, 0, 5
Let m be (-2)/20 + (-322)/(-420). Suppose 4*d + 3*w = 11, -37 = 3*d - 3*w - 40. Factor m*t + 0 - 1/3*t**4 - 2/3*t**3 + 1/3*t**d.
-t*(t - 1)*(t + 1)*(t + 2)/3
Let s(p) = -6*p**3 - 48*p**2 - 21*p + 21. Let a(x) = x**3 + 7*x**2 + 3*x - 3. Let g be (81/36)/((-2)/24). Let t(j) = g*a(j) - 4*s(j). Factor t(n).
-3*(n - 1)**2*(n + 1)
Let a = -12159 + 133751/11. Factor -a - 3/11*k - 1/11*k**2.
-(k + 1)*(k + 2)/11
Let d(f) = 5*f**3 - 15*f**2 - 6. Let x(r) = r**3 - 1. Suppose -2*a + 13 = 3*w + 2*w, 5*w = -5*a - 5. Let c(s) = a*x(s) + d(s). What is n in c(n) = 0?
-15, 0
Let f be (((-20)/(-45))/1)/(10/(-1485)*-11). Factor f - 3/4*p**2 - 21/4*p.
-3*(p - 1)*(p + 8)/4
Let b = -26037 + 26037. Let m(r) be the second derivative of -5/4*r**4 + 6*r + b + 1/4*r**5 + 5/3*r**3 + 0*r**2. Factor m(d).
5*d*(d - 2)*(d - 1)
Let h(k) be the second derivative of 0*k**3 + 0*k**4 + 1/105*k**6 + 0 + 10*k + 0*k**2 + 0*k**5. Factor h(u).
2*u**4/7
Let j = 11758/3 + -3916. Suppose 2/3*y**2 - 8/3*y - j = 0. Calculate y.
-1, 5
Let y be -3 - (-17 - 63/(-7)). Let -3380*o**2 + 2*o**y - 10*o + 3352*o**2 + 0*o**4 - o**4 - 3*o**4 - 24*o**3 = 0. Calculate o.
-1, 0, 5
Find j, given that -30*j**4 + 264 - 16*j**5 + 252*j - 4*j**4 + 34*j**5 - 210*j**2 - 255*j**3 - 20*j**4 - 15*j**5 = 0.
-2, -1, 1, 22
Let n(w) be the third derivative of w**7/3780 - w**6/1080 - w**5/15 - 19*w**4/12 - 31*w**2. Let m(b) be the second derivative of n(b). Factor m(q).
2*(q - 4)*(q + 3)/3
Let u be 4 + (9 - 8 - 4). Suppose -2*r + 6 = -5*d, -u = -d - 3*r + 8. Factor -10/3*i**3 - 4/3*i + d - 14/3*i**2.
-2*i*(i + 1)*(5*i + 2)/3
Let i = -216/77 - -1095/308. Let m(a) be the second derivative of 1/6*a**6 - i*a**5 + 10/3*a**3 + 13*a + 0*a**4 + 0 + 0*a**2. Factor m(u).
5*u*(u - 2)**2*(u + 1)
Let q(d) = 7*d + 3*d**2 + 5*d**3 + 18 - 11 + 2*d**2. Let o(m) = -14*m**3 - 15*m**2 - 21*m - 20. Let j(y) = 4*o(y) + 11*q(y). Factor j(l).
-(l + 1)**2*(l + 3)
Let i = 376 + -173. Let l = i - 203. Factor 0*h + l - 9/7*h**4 - 3/7*h**2 + 9/7*h**3 + 3/7*h**5.
3*h**2*(h - 1)**3/7
Let w be 6/(204/166) - 12/(-102). Let g(c) = -35*c**2 + 177*c - 5. Let i be g(w). Determine j, given that 2*j**3 + 0*j + 1/2*j**i + 2*j**4 + 0*j**2 + 0 = 0.
-2, 0
Let i(k) be the second derivative of -k**5/12 + 5*k**4/8 - 5*k**3/3 - 12*k**2 + 115*k. Let h(b) be the first derivative of i(b). Solve h(f) = 0.
1, 2
Let c(i) = 5*i**3 - 130*i**2 + 375*i - 266. Let w(u) = -5*u**2 + 1. Let g(t) = -c(t) + 4*w(t). Suppose g(h) = 0. Calculate h.
1, 3, 18
Let d = -2360 + 2393. Suppose -29*l = -d - 25. Determine t, given that -2 - 5/3*t + 2/3*t**l + 1/3*t**3 = 0.
-3, -1, 2
Suppose z + z - 83 = -3*t, 3*z + t = 128. Let o = z - 40. Determine n, given that 11*n**2 - 3*n + o + n**3 + n + n - 14*n**2 = 0.
-1, 1, 3
Let h = -449 - -453. Determine x so that 4 + x**4 + 92*x**3 - 40*x**2 - 3*x**h - 4 + 14*x**4 - 64*x = 0.
-8, -2/3, 0, 1
Let p(z) be the third derivative of 0*z**3 + 7*z - 1/1008*z**8 + z**2 - 4/315*z**7 - 1/20*z**6 + 0 - 4/45*z**5 - 5/72*z**4. Let p(m) = 0. What is m?
-5, -1, 0
Let x be -5 + ((-2)/(-7) - (-1040)/182). Let j be (x - -1)/(45/945). Factor -j*z**3 + 0 - 8/3*z + 64/3*z**2.
-2*z*(7*z - 2)*(9*z - 2)/3
Let w(i) = -8*i**2 - 17*i - 11. Let b(o) = 4. Let m(g) = 24*b(g) + 3*w(g). Let m(y) = 0. Calculate y.
-3, 7/8
Let b be (-12)/(-14)*(-98)/(-28). Suppose -h + 8 = d - 8, -b*d = 5*h - 46. Suppose d*s**2 - 23*s**2 - s**3 + 0*s**3 + 3*s**3 + 8 = 0. Calculate s.
-1, 2
Solve -938450/13 + 935710/13*p + 2738/13*p**2 + 2/13*p**3 = 0.
-685, 1
Let y = -5 - 17. Let o = 24 + y. Find h, given that 123*h**2 - 61*h**o + 5*h**4 - 67*h**2 = 0.
-1, 0, 1
Let s = 4890928/9 + -543436. Factor 44*r + 1089*r**2 + s.
(99*r + 2)**2/9
Suppose 224*j + 8*j**4 + 2*j**5 - 132 - 59 - 64*j**3 + 23*j**2 + 9*j**2 + 41 - 106 = 0. Calculate j.
-8, -2, 2
Let q be (-2)/9*((-11)/10 + (-153)/(-306)). Let j(k) be the first derivative of -q*k**3 - 12/5*k + 22 + 7/5*k**2. Determine w so that j(w) = 0.
1, 6
Let c be (-213)/(-12) - 1/(-4). Let f be (c/45)/((-2)/(-10)). Factor 7*r**2 - 4*r - 3 - 8*r**f + 5 + 3*r.
-(r - 1)*(r + 2)
Let z(r) = 8*r**3 - 4*r**2 - 12*r + 6. Let c(o) = 4*o**2 - 142 - 3*o - 5*o**3 + 14*o + 137 - 2*o**3. Let m(n) = -6*c(n) - 5*z(n). Factor m(l).
2*l*(l - 3)*(l + 1)
Let k = -126 - -120. Let w(b) = 5*b**2 + 156*b + 1131. Let n(q) = -70*q**2 - 2185*q - 15835. Let f(y) = k*n(y) - 85*w(y). Factor f(a).
-5*(a + 15)**2
Suppose 21*j - 3*l + 858 = 24*j, -1446 = -5*j - l. Suppose 21 = 2*h - 3*p, -3*h + 30 = -293*p + j*p. Factor -h - 3/2*o + 3/2*o**2.
3*(o - 3)*(o + 2)/2
Let o = 8569 - 8569. Let m(u) be the second derivative of 2/15*u**6 + 0 + 0*u**3 + o*u**2 - 1/5*u**5 - 26*u - 2/3*u**4. Determine k, given that m(k) = 0.
-1, 0, 2
Let t = 550377 - 550377. Factor 0*o**3 + 0*o**2 + t - 1/2*o**4 - 1/2*o**5 + 0*o.
-o**4*(o + 1)/2
Let z be (190/20)/(-19)*-3194. Let w = z + -7953/5. Let 0 - 4/5*o**5 + w*o**2 + 16/5*o + 12/5*o**3 - 8/5*o**4 = 0. Calculate o.
-2, -1, 0, 2
Factor 2/3*d**3 + 0 - 98*d**2 + 0*d.
2*d**2*(d - 147)/3
Factor 4/3*u**2 + 16 - 28/3*u.
4*(u - 4)*(u - 3)/3
Let v(q) be the third derivative of q**7/350 + 7*q**6/100 + 13*q**5/25 + 33*q**4/20 + 27*q**3/10 - 1125*q**2. Let v(g) = 0. Calculate g.
-9, -3, -1
Let z(g) = 7 + 31 + 24 + 22 - 6 - 38*g. Let i be z(2). Factor 0 - 8/7*f**3 + 5/7*f**i - 1/7*f + 4/7*f**4.
f*(f - 1)*(2*f - 1)**2/7
Determine u, given that -1014*u + 0*u**2 + 2*u**2 + 750 + 263 - 10*u**2 + 9*u**2 = 0.
1, 1013
Suppose -144*x - 144*x = -493 - 83. Factor -4/3*o**x + 0*o + 2/3*o**3 + 20/3*o**4 + 0.
2*o**2*(2*o + 1)*(5*o - 2)/3
Let l(s) = -49*s**2 - 123*s + 846. Let b(f) = 146*f**2 + 370*f - 2532. Let v(q) = 5*b(q) + 14*l(q). Let v(j) = 0. Calculate j.
-6, 34/11
Let r(x) be the first derivative of -2*x**3/9 + 58*x**2/3 + 1360*x/3 + 5194. Factor r(h).
-2*(h - 68)*(h + 10)/3
Let h(w) be the first derivative of -6*w**5/5 + 13*w**4/2 + 64*w**3/3 - 12*w**2 - 5634. Factor h(c).
-2*c*(c - 6)*(c + 2)*(3*c - 1)
Let h(m) be the second derivative of 3*m**5/5 - 59*m**4/3 + 544*m**3/3 - 312*m**2 + 7*m - 3. Factor h(z).
4*(z - 13)*(z - 6)*(3*z - 2)
Let m(h) be the first derivative of 3*h**5/20 + 87*h**4/4 + 841*h**3 + 42. Solve m(x) = 0 for x.
-58, 0
Let n(q) be the second derivative of 1152*q**7/7 - 39552*q**6/5 + 763848*q**5/5 - 4370908*q**4/3 + 112550881*q**3/18 + 3026*q - 1. Factor n(l).
l*(12*l - 103)**4/3
Let j(x) be the second derivative of -4/3*x**2 - 5*x + 1/30*x**5 - 28/27*x**3 - 13/54*x**4 - 2. Factor j(h).
2*(h - 6)*(h + 1)*(3*h + 2)/9
Let a = 46004 + -92007/2. Factor -a*p**4 - 1/2 + 1/2*p + p**2 + 1/2*p**5 - p**3.
(p - 1)**3*(p + 1)**2/2
Let u(r) be the third derivative of -r**5/100 + 4*r**4/5 - 247*r**3/10 - 883*r**2. Factor u(t).
-3*(t - 19)*(t - 13)/5
Let t(n) be the third derivative of -5*n**8/336 + 5*n**7/14 + 15*n**6/8 - 225*n**5/4 - 675*n**4 - 3240*n**3 + 2071*n**2. Factor t(h).
-5*(h - 12)**2*(h + 3)**3
Let l be ((-27)/126)/((-18 - -7) + (-2768)/(-256)). Determine d so that l*d - 24/7 + 2/7*d**2 = 0.
-6, 2
Factor -6803*b**2 - 3*b**4 + 50773*b**3 - 10489*b**2 - 62208 + 63936*b - 50329*b**3.
-3*(b - 72)**2*(b - 2)**2
Let d(v) = v**3 - 12*v**2 - 28*v + 3. Let j be d(14). Solve -27*z**2 + 87*z - 6*z + 5*z**j + 62*z**2 + 60 - z = 0.
-3, -2
Let j = 7/37 - -187/185. Suppose 146*g = 156*g. Factor -3/5*s**2 + j*s - 3/5*s**3 + g.
-3*s*(s - 1)*(s + 2)/5
Suppose -3*u - 86 - 46 = 24*h, 26 = 2*u - 3*h. Let s(k) be the second derivative of 0 + 0*k**2 + k**3 + 1/3*k**u - 22*k - 1/10*k**5. Factor s(x).
-2*x*(x - 3)*(x + 1)
Suppose 3*x = -4*a + 2*x - 2, 4*a = x + 2. Let v be (1 - (2 + a)) + 15 + 3. Suppose 30*q**3 - 6*q - 40*q**2 + 21*q + 12*q**5 - v*q**5 = 0. Calculate q.
-3, 0, 1
Let o = -119 + 122. Factor 4*v + 4 - 4*v**3 - v**4 + v**2 - 4*v**2 + 0*v**o + 0*v.
-(v - 1)*(v + 1)*(v + 2)**2
Let o(d) be the third derivative of -160*d**4 + 2/7*d**7 + 384*d**3 - 5*d**6 + 0*d + 0 + 44*d**2 - 1/168*d**8 + 116/3*d**5. Find x, given that o(x) = 0.
2, 12
Let i(s) = 5*s**2 + 71*s + 856. Let y(p) = 16*p + 6. Let j(z) = -i(z) - 4*y(z). Factor j(q).
-5*(