 4)*(j - 1)**2*(j + 3)
Suppose 2*n + 4 = -2*s + 2, 0 = 4*s + n + 4. Let w be s/(2*2/(-4)). Let 3 - t**2 + 3*t + 0*t**2 - 2*t - w = 0. What is t?
-1, 2
Factor 30*i**5 - 16*i**5 - 16*i**5 - 24010 - 125*i**2 + 46*i**4 - 308*i**3 - 71*i**2 + 8918*i.
-2*(i - 7)**4*(i + 5)
Let b(q) be the second derivative of -5*q**4/12 - 15*q**3/2 - 50*q**2 + 108*q + 2. Factor b(h).
-5*(h + 4)*(h + 5)
Let m(n) be the third derivative of 2*n**7/525 + n**6/50 - 2*n**4/15 - 193*n**2 + 2. Factor m(r).
4*r*(r - 1)*(r + 2)**2/5
Suppose 3*r + 1424 = 4*b + 1410, 3*b = -3*r. Factor 3/4*k**3 - 1/2*k + 0 + 1/4*k**b.
k*(k + 1)*(3*k - 2)/4
Let f(t) be the first derivative of 2*t**3/15 + 2*t**2/5 - 153. Solve f(r) = 0 for r.
-2, 0
Suppose 64*n = 61*n + 15. Let x(v) be the third derivative of -1/33*v**4 + 0*v + 0 - 1/330*v**n - 1/11*v**3 + 13*v**2. Factor x(o).
-2*(o + 1)*(o + 3)/11
Let x(t) be the third derivative of -1/9*t**4 + 0*t**3 + 1/45*t**5 - 8*t**2 + 1/90*t**6 + 0 + 0*t. Factor x(s).
4*s*(s - 1)*(s + 2)/3
Let i = 1870 + -1862. Let w(h) be the third derivative of 0*h**3 - 1/30*h**5 + 1/120*h**6 + 0*h + i*h**2 + 0 + 1/24*h**4. Factor w(v).
v*(v - 1)**2
Let i = 4131 + -4126. Find c, given that -13/4*c**4 + 0*c - c**2 - 3/4*c**i - 4*c**3 + 0 = 0.
-2, -1/3, 0
Let p(t) be the first derivative of -13 + 1/2*t**6 + 0*t**5 + 0*t + 3/2*t**2 + 0*t**3 - 3/2*t**4. Factor p(g).
3*g*(g - 1)**2*(g + 1)**2
Let p(z) be the third derivative of 0*z - z**3 + 1/60*z**5 + 0 + 5/24*z**4 - 41*z**2. Factor p(w).
(w - 1)*(w + 6)
Let r(h) be the second derivative of -3*h**5/20 + h**4 - h**3/2 - 9*h**2 + 2*h - 6. Factor r(j).
-3*(j - 3)*(j - 2)*(j + 1)
Let x(v) be the first derivative of 2/11*v + 2/33*v**3 + 2/11*v**2 + 21. Suppose x(c) = 0. What is c?
-1
Let w(d) be the third derivative of d**6/120 + d**5/15 - d**4/8 - 2*d**3/3 + 2*d**2. Let c be w(-4). Factor 0 - 2 - 2*l**4 - 8*l**3 + 0*l**2 - c*l - 12*l**2.
-2*(l + 1)**4
Suppose 4*n - 6 = 5*v + 6, -4*n - 3*v + 12 = 0. Factor 10*b + 3*b**3 - 23*b + 10*b - n*b**4 + 3*b**2.
-3*b*(b - 1)**2*(b + 1)
Let s = -1053 + 1056. Let h be (2 - (-4)/(-3))*3. Factor 0*g**s + 8 + 4*g**3 - 20 + 12*g**h - g - 3*g.
4*(g - 1)*(g + 1)*(g + 3)
Let t(z) = -3*z**2 + 41*z - 23. Let h be t(13). Let q(s) be the second derivative of 1/12*s**4 - 1/12*s**h + 2*s - 1/40*s**5 + 0*s**2 + 0. Factor q(v).
-v*(v - 1)**2/2
Let 1/6*p**3 + 0 - 39/2*p**2 + 0*p = 0. What is p?
0, 117
Let t(f) be the first derivative of f**6/3 + 6*f**5/5 + f**4/2 - 2*f**3 - 2*f**2 + 88. Factor t(l).
2*l*(l - 1)*(l + 1)**2*(l + 2)
Factor -3/5 + 3/5*h**2 - 9/5*h**3 + 9/5*h.
-3*(h - 1)*(h + 1)*(3*h - 1)/5
Suppose 26 = u + 3. Suppose 0 = 5*k + 3*r + 2 + 3, k - r = 7. Solve 2*o**k - 3*o**4 + 27*o - 47*o**2 - 2*o**3 + u*o**3 = 0.
0, 1, 3
Let t(a) = a**3 + 10*a**2 - 10*a + 13. Let s be t(-11). Suppose 0 = -i + s + 2. Factor 0*q**3 + 2*q**2 - 3*q**4 + 5*q**4 - i*q**3.
2*q**2*(q - 1)**2
Let i(b) = b**2 + 11*b + 28. Let s be i(-7). Let q(d) be the third derivative of 0*d**3 - d**2 + 0*d**5 + 0*d - 1/600*d**6 + s + 0*d**4. What is t in q(t) = 0?
0
Find y, given that -6*y**2 + 2/5*y**4 + 34/5*y + 6/5*y**3 - 12/5 = 0.
-6, 1
Suppose -15 = 3*n, -15 = -5*g + 3*n - 2*n. Let a(v) be the second derivative of 1/3*v**3 + 1/12*v**4 + g*v + 0*v**2 + 0. Find u, given that a(u) = 0.
-2, 0
Let d(j) be the third derivative of -j**7/525 - 19*j**6/300 - 73*j**5/150 - 11*j**4/20 + 42*j**3/5 - 325*j**2. Suppose d(v) = 0. What is v?
-14, -3, 1
Let c(j) be the second derivative of 243*j**4/4 - 45*j**3 + 25*j**2/2 + 224*j. Factor c(i).
(27*i - 5)**2
Let u be 8 + (-2 - -4) + 14 + -21. Factor 4/5*s**u - 2/5*s**4 + 0 + 2/5*s**2 - 4/5*s.
-2*s*(s - 2)*(s - 1)*(s + 1)/5
Let c(d) = -80*d + 18*d**3 - 6*d**5 + 26*d**3 + d**5. Let q(n) = -70*n**5 + 615*n**3 - 1120*n. Let r(j) = 55*c(j) - 4*q(j). Factor r(x).
5*x*(x - 2)**2*(x + 2)**2
Suppose -6*u = -187 - 35. Let b = 181 - u. Let -81/2*q**4 - 64*q + b*q**3 - 8 - 92*q**2 = 0. Calculate q.
-2/9, 2
Suppose 0 = 13*b - 12*b - 2. Factor -3*l**b - 2*l - 7 + 11*l + 11 - 10.
-3*(l - 2)*(l - 1)
Let p = 972124/68355 + 4/7595. Find m, given that -p + 2/9*m**3 - 34/9*m**2 + 160/9*m = 0.
1, 8
Let s(x) = -22*x**3 + 17*x**2 + 4*x - 7. Let z(b) = 3*b**3 + 2*b + 1. Let m(f) = -3*s(f) - 21*z(f). Find r such that m(r) = 0.
-1, 0, 18
Factor 226*v**2 + 25*v - 5*v + 78 - 455*v**2 + 227*v**2.
-2*(v - 13)*(v + 3)
Determine h, given that -59*h**2 - 170*h**4 + 172*h**4 - 7*h**2 + 8*h + 16*h**3 + 88 = 0.
-11, -1, 2
Suppose r = 5, 0*w - 17 = -4*w + 3*r. Let v(z) be the first derivative of 2/15*z**5 - 2/3*z**2 - w + 0*z - 2/9*z**3 + 1/3*z**4. Suppose v(j) = 0. Calculate j.
-2, -1, 0, 1
Let u(j) be the third derivative of -j**6/210 - j**5/105 + 2*j**4/21 + 8*j**3/21 - 2*j**2 - 3. Factor u(f).
-4*(f - 2)*(f + 1)*(f + 2)/7
Factor 15/8*v**3 + 0 + 33/8*v + 47/8*v**2 + 1/8*v**4.
v*(v + 1)*(v + 3)*(v + 11)/8
Let h(a) = -3*a + 30. Let u be h(9). Solve 1/2 + z**2 - 5/4*z - 1/4*z**u = 0.
1, 2
Suppose 5*q + 0*q = 105. Let d be 14/6 - 7/q. Suppose -3*a**d + 4*a**2 + 2*a**4 - 2*a**3 - 3*a**2 + 2*a**5 = 0. Calculate a.
-1, 0, 1
Let n(b) = b**2 + b. Let f(j) = 2*j**4 + 4*j**3 - 2*j**2 - 4*j + 8. Let d(p) = -f(p) + 4*n(p). Factor d(q).
-2*(q - 1)**2*(q + 2)**2
Let h = -3 - -5. Let x = -209 - -213. Determine m, given that m**h + 4*m**2 - 4*m + x*m**3 + 5*m = 0.
-1, -1/4, 0
Suppose m + 5*j = -21, -10*j + 9*j = -m + 9. Suppose 5*a + m*c - 1 = 7, 4*a - 2 = -c. Factor a*u + 1/4 - 1/4*u**2.
-(u - 1)*(u + 1)/4
Suppose -2*h + 8 = 2*p, 2 = -4*p + 5*h - 0*h. Let d(s) = -s + 12. Let b be d(10). Let 3*l**3 - 9*l**3 + l + b*l**p + 3*l = 0. Calculate l.
-2/3, 0, 1
Let m(c) be the second derivative of c**6/70 + 3*c**5/28 + c**4/28 - 3*c**3/2 - 27*c**2/7 - c - 24. Determine g so that m(g) = 0.
-3, -1, 2
Let l = 128 - 164. Let r = -143/4 - l. Factor -3/4*i - r*i**2 + 1.
-(i - 1)*(i + 4)/4
Let c = 80 + -74. Suppose 3*o + 2*o + 5*u = -10, 0 = -4*o - 3*u - c. Let 0*z + o - 2/3*z**3 - 2/3*z**2 = 0. Calculate z.
-1, 0
Suppose 3*o - o + 6 = 0, 5*y = -o + 77. Suppose -3*h + 3*k = -15, 3*h = k + 3*k + y. Factor -33*w**2 + 15*w**3 + 6*w**2 - 5*w**h + 17*w**2.
-5*w**2*(w - 2)*(w - 1)
Let b(y) = -2*y**2 - y + 1. Let a(f) = -4*f**2 - f + 3. Let v(z) = -3*z + 18. Let u be v(8). Let k(p) = u*a(p) + 14*b(p). Let k(j) = 0. What is j?
-1
Suppose -39 = 22*c - 83. Determine p so that 0 + 1/4*p**c - 1/4*p = 0.
0, 1
Let y = -6241/5 + 43847/35. Solve 128/7 - y*b + 2/7*b**2 = 0.
8
Solve 28/5*g - 4/5*g**2 - 48/5 = 0.
3, 4
Let l(a) = -a**3 - 2*a**2 + 3. Let k be l(0). Suppose -2*t**2 + 413*t + t**3 - 414*t - t**k - t**3 = 0. What is t?
-1, 0
Suppose -4*k = -5*m + 33 - 65, 5*k - 4*m = 31. Factor 0*u**2 + 0 + 3/5*u**4 + 0*u + 6/5*u**k.
3*u**3*(u + 2)/5
Let c(r) be the second derivative of -r**5/15 - 8*r**4/9 - 32*r**3/9 - 168*r. Factor c(h).
-4*h*(h + 4)**2/3
Let f be 31 - 46 - (5 - 22). Factor -54/5*q**f - 2/5*q**4 + 18/5*q**3 + 0 + 54/5*q.
-2*q*(q - 3)**3/5
Let v(d) be the second derivative of -d**7/42 + d**6/36 - d**5/72 - 7*d**4/4 + 2*d. Let h(g) be the third derivative of v(g). Find b such that h(b) = 0.
1/6
Let y(a) = -235*a**2 + 1300*a + 1235. Let l(r) = -55*r**2 + 300*r + 285. Let k(x) = -30*l(x) + 7*y(x). Factor k(o).
5*(o + 1)*(o + 19)
Let i(t) be the first derivative of 3*t**4/8 - 2*t**3/3 + t**2/4 + 160. Factor i(v).
v*(v - 1)*(3*v - 1)/2
Let l = -865 - -1360. Let x = 3473/7 - l. Factor -10/7*a - x*a**2 - 4/7 - 2/7*a**3.
-2*(a + 1)**2*(a + 2)/7
Suppose 16*a - 130 - 14 = 0. Suppose -2 = -b - 4*v + 1, -4*b - v = -12. Let 5*r**b - 8 - 4*r**4 - 4*r + a + 3*r**2 - r = 0. What is r?
-1, 1/4, 1
Let u(g) be the first derivative of g**8/1680 - g**6/180 + g**4/24 - 11*g**3/3 + 16. Let v(x) be the third derivative of u(x). Suppose v(q) = 0. What is q?
-1, 1
Let c = -6553/5 - -124597/95. Factor -c*f**2 - 4/19 - 22/19*f.
-2*(f + 1)*(9*f + 2)/19
Let q be 13/(-1) - 1394/(-102). Determine h so that 0 + 2/3*h - 5/3*h**2 + 5/3*h**4 - q*h**5 + 0*h**3 = 0.
-1, 0, 1/2, 1, 2
Let d(h) be the first derivative of -4/21*h**3 + 4/35*h**5 + 1/2*h**4 + 8 + 0*h + 0*h**2 - 1/3*h**6. Let d(s) = 0. Calculate s.
-1, 0, 2/7, 1
Let h(w) be the third derivative of -1/15*w**5 + 0*w + 0*w**3 + 1/60*w**6 + 0*w**4 - 6*w**2 + 0. Find i such that h(i) = 0.
0, 2
Let y(t) be the third derivative of t**5/75 - 3*t**4