5*u**3*(u - 2)*(u + 2)
Factor 149292 + 10514019*l**3 - 16490*l - 376*l**2 - 36384 - 10514021*l**3.
-2*(l - 6)*(l + 97)**2
Let i(x) = 7*x**4 - 131*x**3 + 813*x**2 + 18*x. Let m(k) = -3*k**4 + 65*k**3 - 406*k**2 - 8*k. Let d(q) = 8*i(q) + 18*m(q). Factor d(v).
2*v**2*(v - 6)*(v + 67)
Let f(i) be the third derivative of -i**5/60 - 59*i**4/4 - 10443*i**3/2 - 2124*i**2. Find t, given that f(t) = 0.
-177
Let g be 16684/(-218064) - (14/49)/1. Let i = 1/708 - g. Factor 2/11*s**2 - i + 2/11*s.
2*(s - 1)*(s + 2)/11
Let b = -202349 - -202352. Factor 17/4*f**2 + 17/4*f + 3/2 + 7/4*f**b + 1/4*f**4.
(f + 1)**2*(f + 2)*(f + 3)/4
Suppose 0 = -44*j - 77*j + 228 + 14. Solve -4/3*x - 4/9*x**j - 1 = 0 for x.
-3/2
Let i(q) = -q**3 - q**2. Suppose 0 = 4*x - 7 + 11. Let a(o) = 2*o**3 + 25*o**3 - 8*o + 32*o**2 - 20*o**4 - 7*o**3. Let t(z) = x*a(z) + 4*i(z). Factor t(p).
4*p*(p - 2)*(p + 1)*(5*p - 1)
Factor -94*y - 870869*y**2 - 19 + 870881*y**2 + 159.
2*(y - 2)*(6*y - 35)
Let g(z) be the second derivative of 4*z**4/3 - 31*z**3/3 + 31*z**2 + 17*z + 4. Let x(c) = c**3 - 2*c**2 + c - 1. Let y(t) = -2*g(t) + 4*x(t). Factor y(d).
4*(d - 4)**2*(d - 2)
Let w(m) = -m**3 - 22*m**2 + 460*m + 8900. Let y be w(-16). Factor -304*q + 642/5*q**2 + 160 + 2/5*q**y + 76/5*q**3.
2*(q - 1)**2*(q + 20)**2/5
Let z be (-145)/(-2) + (-12)/(-24). Let l = z + -62. Determine k so that 3 + k**2 - l + k + 6 = 0.
-2, 1
Suppose -35 = -3*g - b + 5*b, -3*b - 30 = -3*g. Suppose 0 = 5269*h - 5334*h. Solve h - 1/2*c**g - c**2 + 0*c - 5/2*c**3 - 2*c**4 = 0 for c.
-2, -1, 0
Let u be ((-112)/(-784))/(3/84) + 20/(-13). Let 34/13*r - u - 2/13*r**2 = 0. Calculate r.
1, 16
Let u(b) = -35*b**2 - 170*b + 10. Let z(y) = 35*y**2 + 168*y - 12. Let m(v) = 6*u(v) + 5*z(v). Factor m(s).
-5*s*(7*s + 36)
Let b(y) be the second derivative of -17*y**4 - 15*y**5 + 0 - 74/15*y**6 - 171*y - 20/3*y**3 - 2/7*y**7 + 0*y**2. Find x, given that b(x) = 0.
-10, -1, -1/3, 0
Let p(x) = -x**5 + x**4 - 2*x**3 - 2*x**2 - x + 1. Let u(g) = -15*g**5 + 29*g**4 + g**3 - g**2 - 6*g + 16. Let o(y) = -16*p(y) + u(y). Factor o(z).
z*(z + 1)**3*(z + 10)
What is o in 78*o - 24*o**2 + 3*o**5 - 81*o**3 + 99/2 - 51/2*o**4 = 0?
-3/2, -1, 1, 11
Let n(i) be the third derivative of i**7/315 - i**6/15 - 3*i**5/10 + 27*i**4/2 - 179*i**2 - 3*i. Solve n(b) = 0.
-6, 0, 9
Let j = -13481 + 13484. Let b(i) be the third derivative of 13*i**2 + 1/30*i**j + 1/300*i**5 + 0 - 1/60*i**4 + 0*i. Determine q so that b(q) = 0.
1
Let i(s) = s**3 + 5*s**2 - 3*s + 20. Let o be i(-6). Factor -2*h**3 + 2*h - 2*h**2 + 5 + 3*h**2 - 3 - 3*h**o.
-2*(h - 1)*(h + 1)**2
Let h(o) be the second derivative of 278/15*o**3 - 66*o + 238/15*o**4 + 8*o**2 - 49/100*o**5 + 0. Determine t, given that h(t) = 0.
-2/7, 20
Factor -76*i**2 + 2/3*i**3 + 0 + 2166*i.
2*i*(i - 57)**2/3
Let a(p) be the third derivative of p**8/560 + 4*p**7/25 - 3*p**6/10 - 83*p**5/50 + 283*p**4/40 - 57*p**3/5 - 365*p**2. Suppose a(o) = 0. What is o?
-57, -2, 1
Let m(j) = -j**3 + j**2 + j + 20. Let r be m(0). Let t = 35 - r. Solve -5*g**4 - g**2 - 7*g**4 - 48*g**3 - t*g**2 + 20*g**5 = 0 for g.
-1, -2/5, 0, 2
Let g(t) be the first derivative of 0*t**2 - 2*t**3 + 15/4*t**4 - 60 + 0*t. Factor g(b).
3*b**2*(5*b - 2)
Let b(j) be the third derivative of -1 + 1/4*j**5 + 5/12*j**4 + 118*j**2 + 0*j + 0*j**3 + 1/24*j**6. Factor b(d).
5*d*(d + 1)*(d + 2)
Let u(j) be the third derivative of 2 + 0*j + 1/12*j**4 - 1/6*j**3 + 7/60*j**5 - 63*j**2 + 1/30*j**6. Factor u(c).
(c + 1)**2*(4*c - 1)
Suppose 33*y + 135 + 360 = 0. Let z be 50/5 + 120/y. Factor 2/3 + 8/9*h + 2/9*h**z.
2*(h + 1)*(h + 3)/9
Let x(w) be the first derivative of w**5/360 - 5*w**4/4 + 225*w**3 - 150*w**2 - 121. Let j(c) be the second derivative of x(c). Factor j(k).
(k - 90)**2/6
Suppose -i = -6*i + 75. Let x(m) = i - 16*m - 28 - 8*m**2 + 10. Let h(q) = -44*q**2 - 88*q - 16. Let o(b) = 5*h(b) - 28*x(b). Let o(p) = 0. What is p?
-1
Let z(b) be the second derivative of 0*b**2 + 0 + 2/3*b**4 + b**3 + 1/10*b**5 + 96*b. Solve z(x) = 0.
-3, -1, 0
Let x(u) be the first derivative of u**5/10 - 49*u**4/12 - 77*u**3/6 - 13*u**2 - 134*u + 170. Let f(r) be the first derivative of x(r). Factor f(j).
(j - 26)*(j + 1)*(2*j + 1)
Let p(u) be the second derivative of u**6/40 - 9*u**5/20 + 5*u**4/8 + 3*u**3/2 - 33*u**2/8 + 8*u + 1. Determine y, given that p(y) = 0.
-1, 1, 11
Let q(s) = 4*s + 7. Let m(b) = 5*b + 8. Let f(t) = -5*m(t) + 6*q(t). Let a be f(-1). Factor -34*u + 21*u**2 + 3*u - 2*u - a*u**3 + 15.
-3*(u - 5)*(u - 1)**2
Let k(a) be the second derivative of -1/40*a**4 + 0*a**2 - 145*a + 0*a**3 + 1/300*a**6 + 0 - 1/100*a**5. Solve k(b) = 0 for b.
-1, 0, 3
Let o(k) be the third derivative of 0*k**4 + 1/20*k**5 + 24*k**2 + 0*k**3 + 0 + 0*k. Find j such that o(j) = 0.
0
Let n(s) be the second derivative of 19/2*s**4 - 27/20*s**5 + 0 + 59*s + 12*s**2 - 22*s**3. Solve n(a) = 0 for a.
2/9, 2
Let r(w) = -4*w**3 - 20*w**2 + 204*w - 240. Let m(k) = 4*k**3 + 20*k**2 - 197*k + 240. Let n(b) = 4*m(b) + 3*r(b). Factor n(q).
4*(q - 3)*(q - 2)*(q + 10)
Let a(d) be the second derivative of 1/4*d**5 - 5/3*d**3 + 86*d + 0*d**2 + 0 + 5/12*d**4. Factor a(y).
5*y*(y - 1)*(y + 2)
Suppose -5*d + 128 = 4*a, -2*a - 3 = 3. Let z be (126/49)/(20/d). Factor 0*w**2 + z*w**4 + 0 - 6/5*w**5 + 0*w - 12/5*w**3.
-6*w**3*(w - 2)*(w - 1)/5
Let u be ((-81)/(-78) - 1)*(51 - 38). Suppose -121 + 10*c**2 + u*c**3 + 77/2*c = 0. Calculate c.
-11, 2
Suppose 4*r - 4 = 4*y, y - 692*r = -693*r + 5. Factor -8/5*h + 12/5*h**y - 4/5.
4*(h - 1)*(3*h + 1)/5
Let q(b) be the second derivative of b**5/30 + 23*b**4/18 + 76*b**3/9 - 84*b**2 + 112*b - 3. Factor q(l).
2*(l - 2)*(l + 7)*(l + 18)/3
Let u(k) be the first derivative of -k**6/180 + k**5/20 + k**4/3 - 94*k**3/3 + 73. Let o(i) be the third derivative of u(i). Factor o(y).
-2*(y - 4)*(y + 1)
Let v = -201 - -216. Suppose -2 = -4*r + 6. Factor -4 - 6*b + v*b - r - 3*b**3.
-3*(b - 1)**2*(b + 2)
Let b be (1 + 47)*64/(-6). Let u = b + 512. Factor -4/5*r**2 + u - 2*r**3 - 6/5*r**4 + 0*r.
-2*r**2*(r + 1)*(3*r + 2)/5
Let y(l) = 33*l - 99. Let x(u) = -27*u + 101. Let n(r) = -6*x(r) - 4*y(r). Let j be n(7). Find s, given that 2/5 - 2/5*s**2 + j*s = 0.
-1, 1
Suppose -345 = -215*v + 949 - 434. Let -1/2*c + 1/2*c**3 + c**2 - 3/4 - 1/4*c**v = 0. What is c?
-1, 1, 3
Let s(n) be the second derivative of -5*n**5 + 9*n - 3/2*n**6 + 25/12*n**4 + 50/3*n**3 + 0 + 10*n**2. Find r such that s(r) = 0.
-2, -1, -2/9, 1
Let y(h) be the first derivative of h**6/840 - h**5/40 + 5*h**4/28 + 17*h**3 + 3. Let x(d) be the third derivative of y(d). Factor x(t).
3*(t - 5)*(t - 2)/7
Determine u, given that -3*u**4 + 270*u - 15*u**4 + 266*u**3 - 538*u**2 + 20*u**4 = 0.
-135, 0, 1
Let o = 2826 - 2823. Let h(j) be the third derivative of 1/6*j**o - 1/48*j**4 - 1/120*j**5 + 0 + 0*j + 7*j**2. Factor h(b).
-(b - 1)*(b + 2)/2
Let r(k) be the second derivative of 10*k + 3/10*k**6 + 8*k**4 - 2 - 8*k**2 + 13/5*k**5 + 8*k**3. Factor r(s).
(s + 2)**3*(9*s - 2)
Let j(o) = 88*o**3 + 516*o**2 - 72*o + 18. Let s(d) = 44*d**3 + 258*d**2 - 36*d + 8. Let x(n) = -4*j(n) + 9*s(n). Factor x(y).
2*y*(y + 6)*(22*y - 3)
Let t(m) be the third derivative of -m**7/42 - m**6/6 + 11*m**5/12 + 25*m**4/4 - 2*m**2 - 81. Solve t(c) = 0 for c.
-5, -2, 0, 3
Let f(d) = d. Suppose -5*i + 10*i = 5. Let j(x) = -2*x**2 - 34*x + 5. Let q be j(-17). Let r(g) = -2*g**2 - 41*g - 162. Let p(k) = i*r(k) + q*f(k). Factor p(y).
-2*(y + 9)**2
Let f = 174 - 170. Let g(t) = t. Let y be g(0). Find h such that 34*h**2 - f*h - 35*h**2 + y - 3 = 0.
-3, -1
Let j(c) = 3*c**3 + 448*c**2 + 12983*c - 368563. Let s(o) = -3*o**3 - 447*o**2 - 12981*o + 368571. Let y(m) = 12*j(m) + 11*s(m). Factor y(w).
3*(w - 17)*(w + 85)**2
Let t(c) be the first derivative of -c**3/3 + 40*c**2 - 231*c + 3042. Factor t(y).
-(y - 77)*(y - 3)
Let f(y) = -7*y**4 + 154*y**3 - 385*y**2 + 391*y - 163. Let r(o) = -4*o**4 + 79*o**3 - 192*o**2 + 196*o - 85. Let w(d) = -3*f(d) + 5*r(d). Factor w(b).
(b - 64)*(b - 1)**3
Let -606/5*p - 2/5*p**3 - 22*p**2 - 882/5 = 0. Calculate p.
-49, -3
Let l(g) be the third derivative of -1/30*g**6 - 3*g**2 - 1/168*g**8 + 1/15*g**5 + 0 + 1/3*g**3 + 1/4*g**4 - 1/35*g**7 + 0*g. Solve l(j) = 0 for j.
-1, 1
Let j(z) be the first derivative of 10*z**6/3 + 9*z**5 - 5*z**4