735*j**7 + 1/84*j**4 + 0 - 1/210*j**6 + 0*j. Solve n(a) = 0.
-1, 1
Let v(l) = -l**3 + 10*l**2 + 57*l - 14. Let o be v(14). Let z(j) be the first derivative of 1 + 2/3*j**3 + o*j - 1/2*j**2. Factor z(n).
n*(2*n - 1)
Let b(o) be the third derivative of o**8/672 + o**7/210 - 9*o**6/80 + 13*o**5/30 - 7*o**4/12 - 919*o**2. Factor b(y).
y*(y - 2)**2*(y - 1)*(y + 7)/2
Let m(l) be the first derivative of -4*l**5/5 - 3*l**4 - 4*l**3 - 2*l**2 + 35. Factor m(w).
-4*w*(w + 1)**3
Factor 11/4*q**4 + 9/4*q**2 + 0 - 15/4*q**3 - 3/4*q**5 - 1/2*q.
-q*(q - 1)**3*(3*q - 2)/4
Suppose 26*u = 32*u - 24. Let x(w) be the second derivative of -5/4*w**u - 5*w**2 + 0 - 9*w + 1/6*w**6 + 25/6*w**3 - 1/4*w**5. Factor x(o).
5*(o - 1)**3*(o + 2)
Let g be 5/(-10) + 3/4. Let t(i) be the first derivative of -1/6*i**3 + g*i**2 - 1/8*i**4 + 2 + 1/10*i**5 + 0*i. Let t(b) = 0. Calculate b.
-1, 0, 1
Let m(o) = 5 + 4*o - 2*o**2 + 3*o**2 - 2. Let d be m(-3). Find w, given that d*w**2 - 1/2*w**3 - 3/4*w**4 + 0*w + 0 = 0.
-2/3, 0
Suppose -2 - 6*i - 7*i**2 - 4*i**3 - 9/8*i**4 - 1/8*i**5 = 0. Calculate i.
-2, -1
Let p(i) be the second derivative of -3*i**5/20 - i**4/6 + 19*i**3/6 - 3*i**2 + 28*i. Factor p(k).
-(k - 2)*(k + 3)*(3*k - 1)
Let r(c) be the third derivative of c**10/50400 - c**9/20160 + c**5/5 + 3*c**2. Let a(f) be the third derivative of r(f). Factor a(h).
3*h**3*(h - 1)
Suppose 4*s + 112*a = 107*a - 2, 0 = 4*s - 2*a - 12. Suppose 12/5*b - 8*b**s + 4/5 = 0. Calculate b.
-1/5, 1/2
Let 112 - 72*f + 60/7*f**2 - 2/7*f**3 = 0. Calculate f.
2, 14
Let i(h) be the second derivative of h**6/150 - 4*h**5/5 + 839*h**4/30 - 104*h**3 + 1521*h**2/10 - 78*h - 3. Factor i(j).
(j - 39)**2*(j - 1)**2/5
Let i(o) be the second derivative of -5*o**6/6 + 27*o**5/20 - o**4/6 - 127*o. Factor i(m).
-m**2*(m - 1)*(25*m - 2)
Factor 5*j**3 + 0*j**3 + 5*j**2 - 198 + 198.
5*j**2*(j + 1)
Factor -1/9*w**2 + 1/9 + 0*w.
-(w - 1)*(w + 1)/9
Let r = -2/861 + 6922/14637. Determine a so that 2/17*a + 12/17*a**3 + 0 + 2/17*a**5 + 8/17*a**2 + r*a**4 = 0.
-1, 0
Let x be 0 - -1 - (2 - 3). Factor 4*w + x*w**5 + 4*w**2 - 3*w**2 - 3*w**2 - 6*w**3 + 2*w**4.
2*w*(w - 1)**2*(w + 1)*(w + 2)
Let g(s) = -s - 4. Let d be g(-7). Let b(v) = -v**2 + 4*v - 1. Let i be b(d). Factor -z**i - 5*z**3 - 3*z**2 + 40 + 32*z - 6*z**2 - 12*z.
-5*(z - 2)*(z + 2)**2
Suppose 28 = -12*d + 19*d. Factor u**d - 2*u**4 + 3*u**3 + 7*u**3 - 11*u**3.
-u**3*(u + 1)
Let o(y) = 4*y**2 - y + 4. Let m be o(-6). Determine h, given that 4 + 76*h**2 + 74*h**2 - m*h**2 = 0.
-1, 1
Let k(l) = l**2 - 14*l + 6. Let u be k(14). Factor -2*z**4 + 76 - 38 - 4*z**2 - 38 + u*z**3.
-2*z**2*(z - 2)*(z - 1)
Let r(o) be the first derivative of -2/15*o**3 + 2/5*o**2 + 3/5*o - 1/5*o**4 - 1/25*o**5 - 22. Let r(g) = 0. Calculate g.
-3, -1, 1
Let l be (-21)/(1890/288) - -2*2. Solve 2/5*k**2 + l + 6/5*k = 0.
-2, -1
Let b(j) be the first derivative of -j**4/4 - j**3/3 + j**2/2 + j + 8. Let h(d) = -4*d**3 - 28*d**2 - 80*d - 80. Let k(l) = b(l) - h(l). Factor k(n).
3*(n + 3)**3
Let r be (-180)/(-22) - (56/44)/7. Find l such that 4*l + r*l**3 + 5*l**2 - 2*l**3 - 2*l**3 - 13*l**2 = 0.
0, 1
Let a(s) be the second derivative of -s**7/3780 + s**6/540 - s**4/2 + 27*s - 1. Let y(g) be the third derivative of a(g). Factor y(o).
-2*o*(o - 2)/3
Let r = 2161 - 2159. Let -4/3 - 2/3*h**r + 2*h = 0. What is h?
1, 2
Suppose -4*c = -c - 6, 0 = -2*j + 2*c + 30. Suppose j = 5*u - 3. Solve -282*b**2 + 9 - 79*b**u + 27*b**5 + 291*b**3 - 65*b**4 + 85*b + 47*b - 33 = 0.
2/3, 1, 2
Find c, given that 173/5*c**2 + 251/10*c**3 + 16/5 + 96/5*c + 7/10*c**5 + 36/5*c**4 = 0.
-4, -1, -2/7
Let x(q) be the first derivative of -280*q**3/3 - 50*q**2 - 15*q/2 - 72. Find u, given that x(u) = 0.
-1/4, -3/28
Let t = 91 - 85. Factor -t*y**3 - 1 - 24*y - 9 + 2 - 22*y**2.
-2*(y + 1)*(y + 2)*(3*y + 2)
Suppose -13*v = -5*v - 80. Factor -5*m**5 - 3*m - m - m + v*m**3.
-5*m*(m - 1)**2*(m + 1)**2
Let t(n) be the second derivative of 0 + 27/5*n**6 + 4/3*n**3 + 6*n + 117/10*n**5 + 20/3*n**4 + 0*n**2. Factor t(b).
2*b*(b + 1)*(9*b + 2)**2
Let s be (-13 + 15)/(4/6). Let z = -3 + s. Determine h, given that 1/2*h**4 + 0 + 1/2*h**3 + 1/6*h**2 + 1/6*h**5 + z*h = 0.
-1, 0
Let y(s) be the second derivative of -s**6/270 - s**5/60 + 7*s**4/108 + s**3/2 + s**2 - 105*s. What is m in y(m) = 0?
-3, -2, -1, 3
Suppose 2 - 3 + 3*c**3 - 2*c - c**3 + c**4 = 0. Calculate c.
-1, 1
Let d = -2040 + 6122/3. Let r(f) = -f**3 + 2*f**2 + 4*f + 1. Let t be r(3). Factor 5*s - 3/2 - d*s**t - 13/6*s**2 - 10/3*s**3.
-(s + 3)**2*(2*s - 1)**2/6
Let k = -6/263 - -1070/789. Find o such that -16/3*o - k*o**4 + 4*o**2 - 16/3 + 8/3*o**3 = 0.
-1, 2
Let j(s) be the first derivative of 1/9*s**3 + 0*s + 40 + 1/2*s**2. Factor j(z).
z*(z + 3)/3
Let k = 193 + -187. Let u(i) be the first derivative of 1/4*i**4 + 1/5*i**5 + 1/9*i**3 + 0*i + 0*i**2 + 1/18*i**k - 3. Solve u(f) = 0.
-1, 0
Let o = -5 - -23. Let p be (-5)/(45/6)*-3. Solve -p*x**2 - 20*x + 36*x - o*x = 0 for x.
-1, 0
Let u(v) be the second derivative of v**5/5 - 10*v**4/3 - 16*v**3 - 140*v + 1. Suppose u(a) = 0. Calculate a.
-2, 0, 12
Let p(f) be the first derivative of f**3 - 3*f**2/2 + 402. Factor p(x).
3*x*(x - 1)
Solve 18 - 2*u - 30 + 15 - u**2 = 0 for u.
-3, 1
Let x(o) be the second derivative of -o**5/20 + 41*o**4/48 + 17*o**3/12 - 11*o**2/8 + 234*o. Factor x(f).
-(f - 11)*(f + 1)*(4*f - 1)/4
Let u(h) = 4*h**4 - 10*h**3 - 6*h**2 - 6*h. Let m(t) = -29*t**3 - 7*t + 11*t**4 - 17*t**2 - 17 + 17 - 10*t. Let f(q) = 6*m(q) - 17*u(q). Factor f(o).
-2*o**3*(o + 2)
Let r(a) = -10*a**2 - 30*a + 5. Let o(m) = -5*m**2 - 15*m + 3. Let w(d) = 5*o(d) - 3*r(d). Factor w(q).
5*q*(q + 3)
Let q(y) be the first derivative of y - 45 - 3*y**2 + 29/12*y**3 - 9/16*y**4. Factor q(i).
-(i - 2)*(i - 1)*(9*i - 2)/4
Let l(x) be the third derivative of x**7/504 + x**6/36 + x**5/8 + 25*x**4/24 + 24*x**2. Let v(f) be the second derivative of l(f). Factor v(s).
5*(s + 1)*(s + 3)
Let k(h) be the second derivative of 25/6*h**3 + 2/3*h**6 + 0 - 5*h**2 - 42*h - h**5 - 5/42*h**7 - 5/6*h**4. Determine u, given that k(u) = 0.
-1, 1, 2
Let m = 14 + 4. Let c = m + -18. Suppose 1/4*v**4 + 1/4 + c*v + 0*v**3 - 1/2*v**2 = 0. Calculate v.
-1, 1
Let t = 38 + -32. Suppose -36 - 35 + 2*r**2 - t*r - 2*r + 47 = 0. What is r?
-2, 6
Let n(w) be the third derivative of w**6/6 + 11*w**5/15 + w**4/3 + 47*w**2 - 2. Factor n(q).
4*q*(q + 2)*(5*q + 1)
Factor 0 - 3/7*t - 1/7*t**3 + 4/7*t**2.
-t*(t - 3)*(t - 1)/7
Let l be -4 - (4 + -4) - -9. Determine x, given that 5 + 15*x**2 - 18*x**4 - l*x**3 - 15 + 5*x + 13*x**4 = 0.
-2, -1, 1
Let k be (0 - 0)*2/(-4). Suppose t + 2*t - 12 = k. Factor t - 4 + 4*r - 2*r**2 + 12*r**2.
2*r*(5*r + 2)
Let k be 2/37 - 109/((-689643)/4320). Solve 0 + 4/19*j**4 - 14/19*j**3 + k*j**2 - 4/19*j = 0.
0, 1/2, 1, 2
Let a(u) = u**2 - u + 4. Let n be a(0). Suppose 6 = 2*v + n*y, 0 = -2*y - y. Find k, given that 1/4 - 11/4*k - 4*k**v - 16*k**4 + 9*k**2 = 0.
-1, 1/4
Suppose 5*w - 125 = 5*a, 4*w - 76 = -3*a + 24. Find j such that -w*j**3 - 10*j + 17 - 10 - 7 + 35*j**2 = 0.
0, 2/5, 1
Let w = 54833/4 - 13708. Find n, given that 0 - 3/4*n + 3/4*n**3 - 1/4*n**4 + w*n**2 = 0.
-1, 0, 1, 3
Let b = 277/5 - 55. Let h = 73/215 + -6/43. Factor -b*v + 0 - 4/5*v**3 + h*v**4 + v**2.
v*(v - 2)*(v - 1)**2/5
Let o(t) be the third derivative of -t**7/42 + 7*t**6/12 - 61*t**5/12 + 35*t**4/2 - 30*t**3 - t**2 - 5*t. Factor o(u).
-5*(u - 6)**2*(u - 1)**2
Suppose -2*h + 1 + 5 = 0. Let t = 491 + -489. Factor -8 - 4*d + 0*d + 0*d**h + 8*d**t + 4*d**3 + 0*d.
4*(d - 1)*(d + 1)*(d + 2)
Let s(q) be the first derivative of q**5/35 - q**4/2 + 61*q**3/21 - 6*q**2 + 36*q/7 + 41. Factor s(r).
(r - 6)**2*(r - 1)**2/7
What is v in -8 + 31*v**3 + 52*v**4 - 3*v**3 - 44*v - 58*v**2 + 14*v**2 + 16*v**5 = 0?
-2, -1, -1/4, 1
Let y(c) = -5*c**2 - 50*c - 53. Let s(x) = -6*x**2 - 48*x - 54. Let p(q) = -2*s(q) + 3*y(q). Determine r so that p(r) = 0.
-17, -1
Let y(i) = -5*i**2 + i - i - 4 - 5*i**3. Let a be (-83)/(-9) - (-2)/(-9). Let r(t) = 11*t**3 + 11*t**2 + 9. Let g(o) = a*y(o) + 4*r(o). Factor g(m).
-m**2*(m + 1)
Let j = -2995/2 + 1499. Determine b, given that -1/2*b**2 + 0 + j*b = 0.
0, 3
Factor 3*z - 40*z**3 - 4*z + 38*z**3 + 3*z.
-2*z*(z - 1)*(z + 1)
Let z(c) be the second derivative of -5*