2*3/1 - 3599/(-236). Factor -n*o**2 - 1/4*o**4 - 7/2*o + 0 + 2*o**3.
-o*(o - 7)*(o - 2)*(o + 1)/4
Suppose -398*p = -395*p - 192. Let 130 + 1715*r**4 - 1470*r**3 + 420*r**2 - 40*r - p - 66 = 0. Calculate r.
0, 2/7
Let d(v) = 16*v**3 - 106*v**2 + 866*v - 1346. Let j(g) = -14*g**3 + 107*g**2 - 869*g + 1347. Let r(h) = 5*d(h) + 6*j(h). Find t, given that r(t) = 0.
2, 13
Let o(d) be the first derivative of d**6/10 + 144*d**5/25 - 147*d**4/20 + 1651. Factor o(n).
3*n**3*(n - 1)*(n + 49)/5
Let k(i) be the second derivative of i**5/5 + 8*i**4/3 - 46*i**3/3 - 60*i**2 - i + 2635. What is t in k(t) = 0?
-10, -1, 3
Let y(t) = 11*t**2 + 109*t + 80. Let f(p) = -3*p**2 - 27*p - 20. Let s(m) = -4*m - 73. Let x be s(-16). Let h(g) = x*f(g) - 2*y(g). What is c in h(c) = 0?
-4, -1
Suppose -3*m - 27 = -5*a, -47*a - 3 = -52*a - 3*m. Factor 0 - 1/7*k**2 + 9/7*k**5 + k**a - 15/7*k**4 + 0*k.
k**2*(k - 1)*(3*k - 1)**2/7
Let q be (168/(-952))/((-6)/459). Factor -15 + q*y + 3/2*y**2.
3*(y - 1)*(y + 10)/2
Factor 1/4*x**2 + 4489 + 67*x.
(x + 134)**2/4
Let g(k) be the second derivative of k**5/95 - 9*k**4/38 - 254*k**3/57 - 120*k**2/19 - 2268*k. Determine y so that g(y) = 0.
-6, -1/2, 20
Let h(m) be the third derivative of 81/5*m**6 + 2187/2*m**4 + 1 - 2*m**2 + 0*m + 24/35*m**7 + 972/5*m**5 + 1/84*m**8 + 0*m**3. Factor h(y).
4*y*(y + 9)**4
Let o(h) be the second derivative of -63*h + 1/3*h**6 + 0*h**2 - 5/6*h**4 + 0 - 5/14*h**7 + 3/4*h**5 + 0*h**3. Suppose o(f) = 0. What is f?
-1, 0, 2/3, 1
Let x(w) be the first derivative of 0*w + 5*w**5 + 5*w**2 + 32 + 35/3*w**3 + 5/6*w**6 + 45/4*w**4. Let x(t) = 0. Calculate t.
-2, -1, 0
Let y be 12/84 - (-20)/7. Suppose -5*n = l - 532, 4*n - 6*l + y*l - 418 = 0. Factor -101*m**3 + 0*m + n*m**3 - 10*m**2 - m + 10 - 4*m.
5*(m - 2)*(m - 1)*(m + 1)
Let i(q) be the second derivative of -6 + 1/42*q**4 + 1/21*q**3 - 1/7*q**2 - 1/70*q**5 - 2*q. Factor i(b).
-2*(b - 1)**2*(b + 1)/7
Let w(f) be the second derivative of -6*f**2 + 11/3*f**3 - 3/10*f**5 + 0 + 1/15*f**6 - 1/2*f**4 + 2*f. Factor w(s).
2*(s - 3)*(s - 1)**2*(s + 2)
Suppose 3*c - 17 = -2*a, -15 = -12*c + 11*c - 3*a. Suppose -c + 78 = 15*j. Suppose 32/7*f - 27/7*f**2 - 12/7 + 3/7*f**4 - 1/7*f**j + 5/7*f**3 = 0. Calculate f.
-3, 1, 2
Let q(n) = n**2 - 29*n - 489. Let x be q(-12). Let v(p) be the first derivative of 0*p + 1/2*p**6 - 17 + 45/4*p**4 - 9*p**x + 0*p**2 - 21/5*p**5. Factor v(s).
3*s**2*(s - 3)**2*(s - 1)
Let g(r) = 10*r**5 - 2490*r**4 + 2480*r**3 + 5*r - 5. Let a(q) = -15*q**5 + 3736*q**4 - 3721*q**3 - 8*q + 8. Let d(i) = -5*a(i) - 8*g(i). Factor d(n).
-5*n**3*(n - 247)*(n - 1)
Solve 2/7*i**5 + 6*i**2 + 2/7*i**3 - 36/7*i + 0 - 10/7*i**4 = 0.
-2, 0, 1, 3
Let z(a) be the second derivative of -21*a**5/20 + 37*a**4/4 + 16*a**3 - 18*a**2 + 1221*a. What is o in z(o) = 0?
-1, 2/7, 6
Let c(u) be the first derivative of 3*u**5/10 + 19*u**4/12 + u**3/18 - 7*u**2/3 - 2543. Determine w, given that c(w) = 0.
-4, -1, 0, 7/9
Let a(r) be the second derivative of r**5/100 + 7*r**4/60 - 17*r**3/30 + 9*r**2/10 - 11*r - 17. Solve a(c) = 0 for c.
-9, 1
Let t(k) be the first derivative of -2*k**7/147 - 2*k**6/35 + 4*k**4/21 + 60*k + 50. Let b(c) be the first derivative of t(c). Factor b(l).
-4*l**2*(l - 1)*(l + 2)**2/7
Let k be 4/(-34) - (-310)/2635. Suppose k = -g - 2*p - 8, -3*p = -g + 6*g + 12. Let 0 - 21/4*v**3 - 3/2*v**2 + g*v = 0. Calculate v.
-2/7, 0
Let k = -38 - -18. Let x be 2*(-4)/k*85. Determine g so that -7*g + x*g + 9*g**2 + 0*g**2 + g**3 + 27 = 0.
-3
Suppose 0 + 7/2*m - 1/4*m**2 = 0. Calculate m.
0, 14
Let w(p) be the second derivative of -p**6/480 + p**5/48 + p**4/12 - 2*p**3 - 31*p**2 + 2*p. Let r(l) be the first derivative of w(l). Factor r(u).
-(u - 4)**2*(u + 3)/4
Let p(b) be the third derivative of 0*b**3 + 1/112*b**8 + 0 + 0*b**6 - b**2 - 1/10*b**5 - 1/8*b**4 + 0*b + 1/35*b**7. Factor p(i).
3*i*(i - 1)*(i + 1)**3
Let n = -13146/29 + 60965/116. Let 1/4*r**2 - 17/2*r + n = 0. What is r?
17
Factor -52*i**3 + 2*i**4 - 10077696 + 2239488*i - 134*i**3 + 67392*i**2 + 418*i**3 + 408*i**3.
2*(i - 4)*(i + 108)**3
Let c(r) be the first derivative of -r**3/2 - 33*r**2/4 + 90*r + 82. Factor c(s).
-3*(s - 4)*(s + 15)/2
Let t(o) = -5*o + 34. Let h be t(6). Let 5733 - 5733 + 3*r**h - 12*r**3 = 0. What is r?
0, 4
Factor 99/7*u**2 + 15/7 + 9*u + 18/7*u**4 + 69/7*u**3.
3*(u + 1)**3*(6*u + 5)/7
Solve 2*x**3 - 21 - 119 + 88*x + 29*x + 61*x - 40*x**2 = 0.
1, 5, 14
Let j(x) = 3*x**2 - 82*x + 29. Let c be j(27). Factor -3 + 12*b**3 - 55*b**2 - 24*b - 37*b**3 - c - 11*b.
-5*(b + 1)**2*(5*b + 1)
Let a(p) be the third derivative of -1/42*p**7 + 0*p**4 + 0*p**5 + 41*p**2 + 0 + 19/24*p**6 - 2*p + 0*p**3. Determine x so that a(x) = 0.
0, 19
Let z(m) be the first derivative of 5 - 16/3*m + 3*m**2 - 2/9*m**3. Factor z(b).
-2*(b - 8)*(b - 1)/3
Let a = 5977/14175 + -34/81. Let g(w) be the third derivative of 0*w**3 - 1/840*w**8 + a*w**7 + 0*w**5 + 0*w**6 + 0*w + 0*w**4 - 2*w**2 + 0. Factor g(y).
-2*y**4*(y - 1)/5
Let 138675/2 + 3/2*m**2 - 645*m = 0. What is m?
215
Let s(w) = -5*w**3 - 21*w**2 - 26*w - 8. Let p(j) = 3*j**2 - j**2 - j**3 + 0*j**2 - j**2. Let r(i) = -2*p(i) + 2*s(i). Solve r(k) = 0.
-4, -1, -1/2
Suppose -4/3*v**3 + 0 - 244/3*v**2 + 0*v = 0. What is v?
-61, 0
Let i(m) be the third derivative of 0*m + 1/28*m**4 - 18 + 1/210*m**5 - 2*m**2 - 1/140*m**6 - 2/21*m**3 + 1/735*m**7. Factor i(j).
2*(j - 2)*(j - 1)**2*(j + 1)/7
Let b(o) = -3049*o + 15248. Let k be b(5). Factor -126/5*u - 15*u**2 - 24/5 + 27/5*u**k.
3*(u - 4)*(u + 1)*(9*u + 2)/5
Let j(o) = o**3 - 25*o**2 - 11*o - 118. Let z be j(26). Let v = -272 + z. Factor -1/4*n + 1/8*n**2 + v.
n*(n - 2)/8
Let y = -4929 - -4942. Let p(d) be the second derivative of 1/12*d**4 + 0 - y*d + 1/2*d**2 + 1/3*d**3. Let p(c) = 0. Calculate c.
-1
Let w = 5175 + -5173. Let k(u) be the second derivative of 1/4*u**5 - 3*u + 0 + 15/2*u**w + 35/6*u**3 + 25/12*u**4. Factor k(i).
5*(i + 1)**2*(i + 3)
Let s(l) be the third derivative of 0*l + 1/6*l**5 - 1/24*l**4 - 1/21*l**7 + 33*l**2 - 1/5*l**6 + 0*l**3 + 0 + 25/336*l**8. Factor s(j).
j*(j - 1)*(j + 1)*(5*j - 1)**2
Let g(v) be the first derivative of -5*v**4 - 118/3*v**3 - 90*v**2 - 1/5*v**5 - 23 - 81*v. Factor g(i).
-(i + 1)**2*(i + 9)**2
Let i be ((-20)/(-12))/(1/3). Suppose 5*w = 26 - 6. Factor -6*y**5 - i - y**5 - 4*y**4 - w*y + 1 + 8*y**2 + 3*y**5 + 8*y**3.
-4*(y - 1)**2*(y + 1)**3
Let r(v) be the second derivative of 2*v**7/105 - v**6/15 - v**5/5 - 53*v**2/2 + 36*v. Let f(i) be the first derivative of r(i). Solve f(k) = 0.
-1, 0, 3
Let c(u) be the second derivative of -25*u + 128/3*u**2 - 16/9*u**3 + 0 + 1/36*u**4. Factor c(a).
(a - 16)**2/3
Factor 2/3*a**3 + 966*a - 196*a**2 - 2312/3.
2*(a - 289)*(a - 4)*(a - 1)/3
Suppose 3*x = -2*x + 20. Factor -4*f**3 - 37*f**x - 6*f**5 + 0*f**3 + 27*f**4.
-2*f**3*(f + 1)*(3*f + 2)
Suppose -3*b + 4*m = 150 + 62, 4*b = 2*m - 286. Let r be (-4)/b*12*3. Suppose 0 + 1/2*f**5 + 0*f - 3/4*f**4 + 0*f**r - 1/2*f**3 = 0. What is f?
-1/2, 0, 2
Let i = 26 + -22. Let y(o) = 3*o**4 - 9*o**3 + 9*o**2 + 9*o - 4. Let f(t) = 2*t**4 - t**3 + t**2 + t - 1. Let l(n) = i*f(n) - y(n). Factor l(z).
5*z*(z - 1)*(z + 1)**2
Let z(o) be the first derivative of -o**5/45 - 4*o**4/9 + 2*o**3/27 + 8*o**2/3 - 93*o - 68. Let p(v) be the first derivative of z(v). Factor p(r).
-4*(r - 1)*(r + 1)*(r + 12)/9
Let c(w) be the first derivative of 15*w**4/4 + 460*w**3/3 + 735*w**2/2 + 290*w - 130. Let c(r) = 0. What is r?
-29, -1, -2/3
Solve 14*q**2 - 11*q - 42*q**2 - 256 + 8*q**2 - 249*q + 16*q**2 = 0.
-64, -1
Let x(q) = -4*q**2 - 116*q + 2. Let f be x(-29). Suppose -678 = -f*w - 670. Suppose 0 + 0*c - 1/7*c**w + 4/7*c**2 + 3/7*c**3 = 0. Calculate c.
-1, 0, 4
Let t be 2/(-4)*((-40)/(-70))/(10/(-70)). Let f(m) be the third derivative of 5*m**t + 0*m + 1/15*m**5 - 16/3*m**3 + 0 + 1/3*m**4. Factor f(d).
4*(d - 2)*(d + 4)
Let d(u) be the third derivative of 29*u**7/42 + 143*u**6/24 - 5*u**5/6 - 804*u**2. Solve d(o) = 0 for o.
-5, 0, 2/29
Suppose -19 - 45 = 5*x - 9, 0 = 5*r + 5*x + 45. Factor 0 + 3/4*z + 1/4*z**r.
z*(z + 3)/4
Let g(n) be the second derivative of -n**5/2 - 44*n**4/3 + 83*n**3 + 180*n**2 + 917*n - 3. Factor g(u).
-2*(u - 3)*(u + 20)*(5*u + 3)
Suppose 9642*s - 1454*s - 409400 = 0. Factor -s + 148/3*n + 2/3