Let n(w) = -224*w**3 + 472*w**2 - 85*w - 1. Let k(j) = 228*j**3 - 473*j**2 + 84*j. Let g(r) = -3*k(r) - 4*n(r). Solve g(t) = 0.
-2/53, 1/4, 2
Let v(a) be the second derivative of a**6/10 + 21*a**5/20 + 2*a**4 - 8*a**3 + 26*a + 2. Determine x, given that v(x) = 0.
-4, 0, 1
Suppose -4*n = -2*a + 9 + 1, 4*a - 31 = -3*n. Suppose 5*k + 2*x - 15 = a*x, 4*x = -4*k + 12. Let -1/5*c**2 + 1/5*c**4 - 2/5*c + 0 + 2/5*c**k = 0. What is c?
-2, -1, 0, 1
Let n(p) = p**3 + 11*p**2 + 12*p + 134. Let c be n(-11). Factor 3*r**3 + 3/4*r**4 + 15/4*r**c + 0 + 3/2*r.
3*r*(r + 1)**2*(r + 2)/4
Let r(b) be the first derivative of b**4/4 - b**3/5 - 18*b - 3. Let m(s) be the first derivative of r(s). Factor m(j).
3*j*(5*j - 2)/5
Let z(n) be the second derivative of n**6/5 + n**5/2 - n**4/6 - 5*n**3/3 - 2*n**2 + 4*n + 2. Factor z(t).
2*(t - 1)*(t + 1)**2*(3*t + 2)
Let w(f) be the third derivative of 4/525*f**7 - 1/840*f**8 + 0*f - 1/60*f**4 + 2/75*f**5 + 0 - 1/50*f**6 + 0*f**3 + 7*f**2. Let w(n) = 0. Calculate n.
0, 1
Let n be ((-6)/(-18))/((-1)/(-3)) + 27. Let o = 85/3 - n. Solve 7/3*r**2 + o + 11/6*r = 0.
-1/2, -2/7
Let k(c) = -c**2 + 4*c - 1. Let b be k(3). Let w(p) be the first derivative of 1/2*p**b + 2*p - 1/3*p**3 + 3. Factor w(o).
-(o - 2)*(o + 1)
Let u be (-8)/(-20) + (2 - (-379)/(-10)). Let w = -35 - u. Factor w*x**2 + 0 - 1/4*x**3 - 1/4*x**4 + 0*x.
-x**2*(x - 1)*(x + 2)/4
Let x = 6 + 43. Factor -14*u - 30 - 6*u**2 + u**2 + x*u.
-5*(u - 6)*(u - 1)
Suppose j - 18 = 4*j. Let o = j - -8. Factor -6*z**4 + 3*z**2 + o*z**3 - z**3 + 2*z**3 + 0*z**3.
-3*z**2*(z - 1)*(2*z + 1)
Factor 7/2*u**2 + 0 + 1/2*u**3 + 0*u.
u**2*(u + 7)/2
Let v be 4/(-18) - (-440)/198. Factor 6 - 10*u - 83*u**2 + 4 - 1 + 84*u**v.
(u - 9)*(u - 1)
Let u(z) be the second derivative of 0 + 1/12*z**4 - 8*z + 1/6*z**3 + 0*z**2. Factor u(k).
k*(k + 1)
Let h(z) = -z**2 - 11*z + 3. Let f be h(-3). Let v be (8/(-6))/((-18)/f*1). Factor 10/9*q**v - 2/9*q**3 - 2 - 2/3*q.
-2*(q - 3)**2*(q + 1)/9
Suppose -3*q + 21 = -5*y, 2*q - 3*y + 1 - 14 = 0. What is n in 0 + 6/5*n**q - 2/5*n**3 + 4/5*n - 6/5*n**4 - 2/5*n**5 = 0?
-2, -1, 0, 1
Let i = -29/5 - -31/5. Let w = -62948/5 - -12590. Let w*c**2 - i*c**4 + 0*c + c**5 - c**3 + 0 = 0. What is c?
-1, 0, 2/5, 1
Let b = -137611/554 - 13/2770. Let z = -248 - b. Factor 0 + z*n + 2/5*n**3 - 4/5*n**2.
2*n*(n - 1)**2/5
Let q(x) be the first derivative of -x**4/28 + x**3/14 + 3*x**2/7 + 10*x - 4. Let f(l) be the first derivative of q(l). Factor f(d).
-3*(d - 2)*(d + 1)/7
Let i(b) = 23*b - 1 - 25*b + 9 + 4. Let f be i(5). Find g, given that 0 - 6 - 5*g - 2*g**f + g + 12*g = 0.
1, 3
Let y(p) = 11*p**3 + 127*p**2 + 3*p + 3. Let o(z) = -14*z**3 - 126*z**2 - 4*z - 4. Let m(g) = -3*o(g) - 4*y(g). Let m(x) = 0. Calculate x.
-65, 0
Let -8/7*d**3 + 1/7*d**5 + 0 + d**4 + 0*d + 0*d**2 = 0. Calculate d.
-8, 0, 1
Factor 15*f**2 + 44*f - 224*f - 7*f**3 - 44 - 56*f**2 - 52*f**2.
-(f + 2)*(f + 11)*(7*f + 2)
Let g = -65780/3 + 21927. Factor g*m**3 - 11/3*m**2 + 2/3*m**4 + 11/3*m - 1.
(m - 1)**2*(m + 3)*(2*m - 1)/3
Let z(i) = 4*i**3 - 49*i**2 + 9*i + 39. Let a be z(12). Find r, given that 2/3*r**4 + 2/3*r**2 + 0 - r + 7/3*r**a = 0.
-3, -1, 0, 1/2
Let i(l) = 4*l**5 - 2*l**4 + 13*l**3 - 7*l**2 + 8*l + 5. Let w(b) = 5*b**5 - b**4 + 14*b**3 - 6*b**2 + 9*b + 7. Let u(a) = -4*i(a) + 3*w(a). Factor u(n).
-(n - 1)**5
Let g(w) be the third derivative of w**7/42 + 3*w**6/4 - 61*w**5/12 + 35*w**4/4 + 834*w**2. Solve g(x) = 0.
-21, 0, 1, 2
Let t(b) be the third derivative of -b**9/3024 + b**8/448 - b**7/252 + b**4/12 - 4*b**2. Let r(h) be the second derivative of t(h). Factor r(u).
-5*u**2*(u - 2)*(u - 1)
Suppose 64 - 140 = -c. Let r = 153/2 - c. Find t such that 1/2*t**2 + 0*t - r = 0.
-1, 1
Let r(t) = t**5 - 2*t**4 - 6*t**3 - t**2 + 4*t + 2. Let b(d) = -d**4 + d**2 - d - 1. Let q(p) = 4*b(p) - 4*r(p). Factor q(x).
-4*(x - 3)*(x - 1)*(x + 1)**3
Factor 725/4*n + 841/2 + 1/4*n**3 - 14*n**2.
(n - 29)**2*(n + 2)/4
Let u = -1/24636 + 8213/24636. Factor -k**2 + 0*k + 2/3*k**3 + u.
(k - 1)**2*(2*k + 1)/3
Let t(g) be the second derivative of -g**6/45 - 31*g**5/15 - 448*g**4/9 + 2048*g**3/9 - 615*g - 2. Factor t(m).
-2*m*(m - 2)*(m + 32)**2/3
Let t(h) be the first derivative of -h**5/60 + h**3/18 - 13*h - 10. Let q(y) be the first derivative of t(y). Factor q(s).
-s*(s - 1)*(s + 1)/3
Determine j so that 0*j - 2/3*j**3 - 5/6*j**2 + 1/6*j**4 + 0 = 0.
-1, 0, 5
Let t(s) = -4587 - 7*s - 2*s + 4584 - 9*s**2. Let w(y) = y**3 - 17*y**2 - 17*y - 7. Let l(i) = -7*t(i) + 3*w(i). Factor l(f).
3*f*(f + 2)**2
Let g(h) be the first derivative of h**4/2 - 10*h**3/3 + 3*h**2 + 18*h - 78. Factor g(y).
2*(y - 3)**2*(y + 1)
Let j(m) be the third derivative of -m**8/168 - m**7/35 - m**6/30 + 17*m**2 + 5*m. Let j(z) = 0. Calculate z.
-2, -1, 0
Suppose -6*c**5 + 21/2*c**2 + 6*c**3 + 0 - 21/2*c**4 + 0*c = 0. Calculate c.
-7/4, -1, 0, 1
Let v(w) be the second derivative of w**4/66 - w**3/3 - 12*w**2/11 + 12*w. Factor v(i).
2*(i - 12)*(i + 1)/11
Let q(u) be the third derivative of -23*u**7/420 - 139*u**6/240 - 47*u**5/20 - 49*u**4/12 - 2*u**3/3 + u**2 - 15. Factor q(b).
-(b + 2)**3*(23*b + 1)/2
Let f(o) be the third derivative of -9*o**6/40 + 7*o**5/4 - 4*o**4 - 2*o**3 - 4*o**2 + 12. Factor f(w).
-3*(w - 2)**2*(9*w + 1)
Let v be 3470/(-16) - 90/(-240). Let m = v + 218. Determine g, given that 3/2*g**3 + 3/4*g**4 - 3/4*g**2 - m*g + 0 = 0.
-2, -1, 0, 1
Let w(c) be the third derivative of c**7/210 + c**6/120 - c**5/30 - 15*c**2. Find g such that w(g) = 0.
-2, 0, 1
Let -3 + 1/3*m**5 + 17/3*m - 6*m**3 + 2/3*m**2 + 7/3*m**4 = 0. What is m?
-9, -1, 1
Let q = 6/29 - 169/957. Let o(w) be the second derivative of -1/110*w**5 - 2/11*w**2 + 0 + q*w**3 + 3*w + 1/33*w**4. Solve o(n) = 0 for n.
-1, 1, 2
Let t(u) be the second derivative of u**7/210 - 2*u**6/75 + 3*u**5/50 - u**4/15 + u**3/30 + 103*u - 1. Factor t(v).
v*(v - 1)**4/5
Factor 0*d**2 + 0*d + 0 + 0*d**3 - 4/7*d**4 + 2/7*d**5.
2*d**4*(d - 2)/7
Let n be 13 - ((-11)/11 - -3). Let q(h) be the third derivative of 0*h**3 - 1/48*h**4 + n*h**2 + 1/40*h**6 + 0 - 1/80*h**5 - 1/120*h**7 + 0*h. Factor q(c).
-c*(c - 1)**2*(7*c + 2)/4
Factor 6*q + 21*q - 3*q**2 - 7*q - 2*q + 165.
-3*(q - 11)*(q + 5)
Let v(w) = 20*w**5 - 10*w**4 + 45*w**3 + 50*w**2. Let k(j) = -j**5 + j**4 - j**3 - 2*j**2. Let y(n) = -25*k(n) - v(n). Solve y(x) = 0 for x.
-1, 0, 4
Factor 16/7*j + 0 + 1/7*j**2.
j*(j + 16)/7
Let q(b) = -404*b**3 + 188*b**3 + 193*b**3 + 23*b - 7 + 7*b**2. Let h(i) = -i**3 + i**2 + i - 1. Let d(z) = -5*h(z) + q(z). Suppose d(w) = 0. Calculate w.
-1, 1/9, 1
Let s(y) be the first derivative of 2*y**3/9 + y**2 + 36. Factor s(g).
2*g*(g + 3)/3
Let g = 20 - 29. Let x = 9 + g. Factor -2*o + x*o**3 + 3*o**3 - o.
3*o*(o - 1)*(o + 1)
Let n be 8 + (-130)/15 + 1. Let m(i) be the second derivative of -3*i + 0 - n*i**3 + 1/12*i**4 + 0*i**2. Factor m(o).
o*(o - 2)
Let t(j) = -4*j**2 - 7*j + 5. Let r(h) = 5*h**2 + 7*h - 4. Let z(k) = -3*r(k) - 4*t(k). Factor z(q).
(q - 1)*(q + 8)
Let n = -5045 - -20181/4. Find l, given that -7/2*l - n*l**2 - 49/4 = 0.
-7
Suppose 5*y - 5*i = -130, -4*i + 0*i = 5*y + 121. Let j(h) = 30*h**3 - 25. Let r(u) = u**3 + u**2 - 1. Let t(w) = y*r(w) + j(w). Factor t(z).
5*z**2*(z - 5)
Suppose -6*t = 11 - 11. Let j(q) be the third derivative of -q**2 + 0 - 1/18*q**4 + 1/180*q**6 - 1/90*q**5 + 0*q**3 + t*q. Factor j(d).
2*d*(d - 2)*(d + 1)/3
Let d(y) be the first derivative of -1/15*y**3 + 0*y - 1/20*y**2 - 22 - 1/40*y**4. Determine g, given that d(g) = 0.
-1, 0
Let g(u) be the first derivative of -u**8/336 - u**7/42 - 5*u**6/72 - u**5/12 - 6*u**3 + 10. Let n(l) be the third derivative of g(l). Factor n(z).
-5*z*(z + 1)**2*(z + 2)
Let x = 34/7 - 299/63. Let b(r) be the first derivative of 0*r**2 - 5 + 1/3*r - x*r**3. Factor b(g).
-(g - 1)*(g + 1)/3
Let o(i) be the first derivative of -i**6/33 + 28*i**5/55 - 3*i**4/2 - 224*i**3/33 - 64*i**2/11 - 98. Determine p, given that o(p) = 0.
-1, 0, 8
Let r(u) be the third derivative of 5/3*u**4 + 0 + 10/3*u**3 - 17*u**2 + 1/24*u**6 + 0*u + 5/12*u**5. Determine t so that r(t) = 0.
-2, -1
Let u(x) = 2*x - 82*x**3 - x - x**2 + 65*x**3 - 2. Let c be u(-2). Factor 4*r**3 + 2*r**2 + 2*r**2 - 4*r**4 - 132*r**5 + c*r**5.
-4*r**2*(r - 1)*(r + 1)**2
Let m(s) be the second 