 + b**4/3 - b**2 - 102*b. Let i(r) = 0. Calculate r.
-2, -1, 0, 1/4, 2
Find g such that 42*g**4 - 17600*g + 32000/3 + 23440/3*g**2 - 2/3*g**5 - 2764/3*g**3 = 0.
1, 2, 20
Let m(a) be the second derivative of -a**4/12 + a**3 + 9*a**2 + 10*a + 3. Let x be m(8). Factor 10/11*f**x + 0 + 4/11*f + 2/11*f**4 + 8/11*f**3.
2*f*(f + 1)**2*(f + 2)/11
Suppose b + 7 = 2*r, 5 = 4*r - 4*b - 11. Suppose 0*p + 5 = -p + 2*d, 0 = 3*p + r*d - 21. Factor 15/2*q + p + 6*q**2 + 3/2*q**3.
3*(q + 1)**2*(q + 2)/2
Let l(i) be the second derivative of 11/57*i**4 + 4/19*i**3 - 53*i - 8/19*i**2 - 3/190*i**5 - 1/57*i**6 + 0. Let l(n) = 0. Calculate n.
-2, -1, 2/5, 2
Let i(r) = -r**3 - r**2 - 1. Let d(b) = 4*b**3 + 2*b + 3. Let k(l) = 2*d(l) + 6*i(l). Suppose k(o) = 0. What is o?
0, 1, 2
Suppose 0 = 37*k - 28*k - 36. Let p(b) be the first derivative of -49/5*b**5 + 8*b + 147/4*b**k - 6*b**2 - 94/3*b**3 + 5. Suppose p(a) = 0. What is a?
-2/7, 2/7, 1, 2
Factor -4*m**2 - 4*m + 11*m - 50*m - 30 - m**2 + 8*m.
-5*(m + 1)*(m + 6)
Let l(j) = -6*j**2 + 91*j - 13. Let c be l(15). Let u(g) be the first derivative of -1/2*g**c - 4/3*g**3 + 2/3*g + 6 - 7/12*g**4. Factor u(a).
-(a + 1)**2*(7*a - 2)/3
Suppose -a - 4 + 8 = 0. Factor a*m**2 + 12*m**3 + 16*m**5 + 0*m**2 - 28*m**4 - 3*m**3 - m**3.
4*m**2*(m - 1)**2*(4*m + 1)
Let j(x) be the first derivative of -4/25*x**5 + 0*x + 42 + 0*x**3 + 3/5*x**4 - 8/5*x**2. Solve j(p) = 0.
-1, 0, 2
Let y be (-264)/3*(6/(-4) + 2). Let i be 11/y*(0/(-1))/(-2). Let i - 6/5*g**2 - 4/5*g - 2/5*g**3 = 0. What is g?
-2, -1, 0
Let u(n) be the second derivative of 17/60*n**3 + 1/10*n**2 + 13/60*n**4 + 0 - 3*n. Factor u(h).
(2*h + 1)*(13*h + 2)/10
Let b(k) be the second derivative of k**6/30 + 31*k**5/5 + 961*k**4/2 + 59582*k**3/3 + 923521*k**2/2 + 79*k. Determine z so that b(z) = 0.
-31
Let l be 0/(9 + -4)*(-2)/16. Factor 0*u**2 - 1/5*u**4 + l + 0*u**3 + 0*u.
-u**4/5
Let v(l) = l**2 + l. Let t(x) = -x**3 + 12*x**2 - 16*x + 19. Let w(p) = t(p) - 2*v(p). Let j be w(8). Factor -6/7*y**2 + 2/7*y + 0 - 2/7*y**4 + 6/7*y**j.
-2*y*(y - 1)**3/7
Let w be (1 + -21)*(-12)/48. Let i(z) = -z**3 + 8*z**2 + 5*z + 1. Let q(j) = j**3 - 7*j**2 - 4*j. Let n(g) = w*q(g) + 4*i(g). Solve n(m) = 0.
-1, 2
Suppose -4*q = 12*q + 2000. Let d = q + 127. Let -2/3*y**d + 0 + 2/3*y = 0. Calculate y.
0, 1
Let l = 198 + -1979/10. Let h(t) be the second derivative of 0 + 3/5*t**5 - 2*t**3 - l*t**6 + t - 3/4*t**4 + 6*t**2. Determine o so that h(o) = 0.
-1, 1, 2
Suppose 0 = 2*d + o - 13, d + 2*o - 6*o = -16. Factor -d*z**4 - z**2 + 4*z**5 - 4*z**2 + 8*z - 12*z**3 + 9*z**2.
4*z*(z - 2)*(z - 1)*(z + 1)**2
Let v be 3/(-18)*0 + -4. Let i be v/(-13) + (-22)/(-715)*-5. Suppose -2/13*f**4 + 0 - 2/13*f**3 + 2/13*f**2 + i*f = 0. Calculate f.
-1, 0, 1
Let t(c) = c**4 - c**3 - c**2 - c - 1. Let s = 45 + -28. Let f = -14 + s. Let u(h) = -6*h**4 + 15*h**3 - 15*h**2 + 15*h. Let p(n) = f*t(n) + u(n). Factor p(m).
-3*(m - 1)**4
Let o(z) be the third derivative of z**7/15120 + z**6/4320 - z**4/4 - 13*z**2. Let i(n) be the second derivative of o(n). Factor i(v).
v*(v + 1)/6
Let f(r) be the third derivative of -r**7/42 - 21*r**6/8 - 541*r**5/6 - 1175*r**4/2 - 1500*r**3 + 257*r**2. Factor f(i).
-5*(i + 1)*(i + 2)*(i + 30)**2
Let m(x) be the third derivative of -3*x**7/70 + x**6/20 + 3*x**5/5 - x**4 - 51*x**2 + 1. What is j in m(j) = 0?
-2, 0, 2/3, 2
Let i = 97 + -2036/21. Let w(y) be the second derivative of 3*y + 1/2*y**4 + 0 - 1/5*y**6 - i*y**7 - 1/10*y**5 + 2/3*y**3 + 0*y**2. Let w(f) = 0. What is f?
-2, -1, 0, 1
Let b = -565 + 569. Let n(t) be the first derivative of b*t**2 + 1/3*t**3 + 16*t + 10. Factor n(j).
(j + 4)**2
Let b be 133/(-29106)*76 + (-2)/7. Let k = b - -22/27. Let k*u**3 + 2/11*u**2 + 0 - 4/11*u = 0. Calculate u.
-2, 0, 1
Let a(x) = x**5 - 3*x**3. Let l(r) = 12*r**5 - 34*r**3. Let f be 355/4 - (-11)/44. Let u = -157 + f. Let w(v) = u*a(v) + 6*l(v). Factor w(t).
4*t**5
Let w(z) = z**2 - 16*z + 2. Let m be w(16). Let l be (-1)/(-3)*6*m. Factor -2*k - 2*k**3 + 12*k**2 - 10*k**3 - 2*k + l*k**4 + 0*k**3.
4*k*(k - 1)**3
Let a(p) be the third derivative of p**6/72 + p**5/8 + 5*p**4/12 - 10*p**3/3 + 43*p**2. Let r(c) be the first derivative of a(c). Let r(q) = 0. What is q?
-2, -1
Let j be (7 - 4 - 1)*31. Factor 37*v**2 + 18*v + 2*v**3 - j*v**2 + 37*v**2.
2*v*(v + 3)**2
Let 3014284/9*s**4 + 0 + 1456/3*s**2 - 32/9*s - 66248/3*s**3 = 0. Calculate s.
0, 2/91
Let m(v) be the first derivative of 2 + 1/3*v**3 + 3/2*v - 7/4*v**2. Factor m(a).
(a - 3)*(2*a - 1)/2
Let p(m) be the second derivative of m**4/12 + 5*m**3/6 - 7*m**2 + m. Factor p(r).
(r - 2)*(r + 7)
Let d = -204 - -204. Let j(l) be the second derivative of 1/36*l**4 - 9*l + 0*l**2 + 1/30*l**6 + d - 1/126*l**7 - 1/20*l**5 + 0*l**3. Factor j(b).
-b**2*(b - 1)**3/3
Let g(v) be the third derivative of -v**6/280 - v**5/20 - 3*v**4/28 - v**2 + 71*v. Factor g(b).
-3*b*(b + 1)*(b + 6)/7
Let r(g) = -13*g**4 + 21*g**2 - 5*g - 13. Let a(n) = -13*n**4 - n**3 + 21*n**2 - 5*n - 14. Let c(i) = -5*a(i) + 6*r(i). Factor c(h).
-(h - 1)**2*(h + 1)*(13*h + 8)
Let d(a) = -12*a**5 + 2*a + 8*a**2 + 7*a**4 + 1 + 7*a**4 - 5 - 7 - a**3. Let l(p) = -p**5 + p**4 + p**2 - 1. Let n(s) = -2*d(s) + 22*l(s). Factor n(x).
2*x*(x - 2)*(x - 1)**2*(x + 1)
Let r = -50 + 53. Factor 125*v**2 - 78*v**3 + 28*v**r + 4*v**4 + v**4.
5*v**2*(v - 5)**2
Let k(t) = -t**4 + t**2 + 1. Let h(q) = -143 - 777*q**2 - 10*q**3 + 252*q - 26*q**3 - 7*q**4 + 715*q**2. Let j(r) = h(r) - 4*k(r). Factor j(z).
-3*(z - 1)**2*(z + 7)**2
Let j(i) be the second derivative of i**7/91 + 76*i**6/195 + 184*i**5/65 - 56*i**4/3 + 784*i**3/39 - 3*i - 17. Find v such that j(v) = 0.
-14, 0, 2/3, 2
Let w be 979/(-110) + -6*(-3)/2. Let i be (39/(-104))/(15/(-4)). Factor -w*n - i*n**2 + 0.
-n*(n + 1)/10
Solve 66 - 18*w + 10*w**2 + 0*w**2 + 3*w**3 - 40*w**2 - 24*w + 3*w = 0 for w.
-2, 1, 11
Let z be (-4)/24 - 26/(-12). Suppose 2 = -z*u + 6. Factor q**4 + 3*q**2 - 5*q**u + q**4.
2*q**2*(q - 1)*(q + 1)
Suppose 0 = 4*z - 21*z + 34. Let b(y) be the third derivative of 0*y + 1/30*y**4 - 1/15*y**3 - 1/150*y**5 + 2*y**z + 0. Factor b(j).
-2*(j - 1)**2/5
Let f(a) be the third derivative of 5/6*a**4 - 1/24*a**6 - 5*a**2 + 20/3*a**3 + 0 + 0*a - 1/6*a**5. Factor f(c).
-5*(c - 2)*(c + 2)**2
Suppose -2*y + 4*k - 18 = 0, 2*y - 2*k + 18 = 3*k. Let o(f) = -f**2 - 12*f - 25. Let v be o(y). Find g, given that 2/3*g - 1/3*g**v + 0 = 0.
0, 2
Let a(u) be the second derivative of u**6/15 - u**5/5 + u**4/6 - 2*u + 95. Factor a(v).
2*v**2*(v - 1)**2
Factor 4/5*y**2 + 148/5 + 152/5*y.
4*(y + 1)*(y + 37)/5
Let t(y) be the second derivative of 0*y**2 - 1/33*y**4 - 1/165*y**6 + 0*y**3 + 0 - 7*y - 3/110*y**5. Factor t(k).
-2*k**2*(k + 1)*(k + 2)/11
Let u(n) be the third derivative of -2/3*n**3 + 4/15*n**5 + 0 - 2/35*n**7 - 11*n**2 + 0*n + 1/3*n**4 - 1/15*n**6. Determine b, given that u(b) = 0.
-1, 1/3, 1
Let v(s) be the third derivative of s**7/840 + s**6/360 - 2*s**3 + 27*s**2. Let x(d) be the first derivative of v(d). Find k, given that x(k) = 0.
-1, 0
Let i(o) be the second derivative of -1/40*o**5 + 0 - 3*o + 0*o**3 + 1/8*o**4 + 7/2*o**2. Let g(t) be the first derivative of i(t). Factor g(r).
-3*r*(r - 2)/2
Let k(p) be the first derivative of -2*p**7/15 - 43*p**6/90 - 17*p**5/30 - p**4/3 - 2*p**3/3 + 3. Let c(y) be the third derivative of k(y). Factor c(n).
-4*(n + 1)*(4*n + 1)*(7*n + 2)
Let o(v) be the second derivative of 0 - 3/2*v**2 + 0*v**3 - 1/42*v**4 - 1/210*v**5 - 5*v. Let j(n) be the first derivative of o(n). Factor j(p).
-2*p*(p + 2)/7
Let 25*m + 11*m + 17*m + 3*m**2 + 31 + 29 - 17*m = 0. What is m?
-10, -2
Let l(g) be the first derivative of -g**6/1440 + g**5/60 - g**4/6 + 4*g**3 + 3. Let f(k) be the third derivative of l(k). Determine a so that f(a) = 0.
4
Suppose 5*w = -8 + 18. Let p(c) be the second derivative of 1/30*c**5 + 5/9*c**3 + 0 + 2/3*c**w + 2/9*c**4 - 6*c. Suppose p(n) = 0. Calculate n.
-2, -1
Let a(t) be the third derivative of -t**8/5040 + t**5/10 - 3*t**2. Let c(q) be the third derivative of a(q). Factor c(z).
-4*z**2
Suppose -r + 0*h = -h - 4, -3*r + 2*h = -11. Solve 21 + 15 + 4*z**2 - r*z**2 + 12*z = 0.
-6
Let f = -125 + 376/3. Factor f*v**2 - 2/3*v + 0 + v**3.
v*(v + 1)*(3*v - 2)/3
Let s(p) be the third derivative of p**5/60 