*g**2 - 5 - 5 = 0. What is g?
-2, 1
Let o = -12 - -13. Let t be o/5 + 6/45. Find n such that 1/3 + 2/3*n**3 - n - n**4 + t*n**5 + 2/3*n**2 = 0.
-1, 1
Let b(l) be the third derivative of l**9/211680 + l**8/35280 - l**5/30 - 3*l**2. Let j(q) be the third derivative of b(q). Factor j(t).
2*t**2*(t + 2)/7
Let b(r) be the third derivative of r**10/680400 + r**9/136080 + r**8/90720 - r**5/30 + r**2. Let g(y) be the third derivative of b(y). Factor g(p).
2*p**2*(p + 1)**2/9
Find r such that 15*r - 6 - 8*r**2 - 8*r**2 + 3*r**3 + 4*r**2 = 0.
1, 2
Let b(a) be the third derivative of a**7/840 + a**6/240 - a**4/24 + 2*a**2. Let l(q) be the second derivative of b(q). Let l(z) = 0. Calculate z.
-1, 0
Let t(r) be the third derivative of -r**6/600 + r**5/300 + r**4/120 - r**3/30 - 4*r**2. Solve t(q) = 0.
-1, 1
Let p(n) be the third derivative of -n**7/3780 - n**6/360 - n**5/90 + n**4/8 - n**2. Let a(h) be the second derivative of p(h). Factor a(i).
-2*(i + 1)*(i + 2)/3
Let g be 72/27*3/4. Determine o, given that 1/2*o**4 + 0*o + 0*o**g + 0 + 1/4*o**3 + 1/4*o**5 = 0.
-1, 0
Let p be 22/99*27/12. Let v be (-4)/(16/(-9)) + -2. Factor -5/4*w - p - w**2 - v*w**3.
-(w + 1)**2*(w + 2)/4
Let o(x) be the third derivative of -x**5/90 - x**4/36 + 2*x**3/9 + 4*x**2. Suppose o(n) = 0. What is n?
-2, 1
Let o(y) be the second derivative of 3/5*y**4 - 11/10*y**3 + 0 + 27/100*y**5 + 3/5*y**2 + 3*y. Factor o(j).
3*(j + 2)*(3*j - 1)**2/5
Let j(k) be the third derivative of k**2 + 1/24*k**4 - 1/12*k**3 + 0 - 1/120*k**5 + 0*k. Let j(r) = 0. What is r?
1
Let k(p) be the third derivative of 0*p - p**2 + 7/30*p**5 + 1/3*p**4 - 4/3*p**3 + 1/35*p**7 - 1/6*p**6 + 0. Factor k(z).
2*(z - 2)*(z - 1)**2*(3*z + 2)
Suppose 0 = -32*z + 47 + 113. Factor 0*r + 0*r**2 + 0*r**3 + 0*r**4 + 0 - 3/5*r**z.
-3*r**5/5
Let o(z) be the first derivative of 8*z**6/21 - 4*z**5/7 + z**4/7 + 8. Factor o(a).
4*a**3*(a - 1)*(4*a - 1)/7
Factor 6/5 - 2/5*m**2 - 4/5*m.
-2*(m - 1)*(m + 3)/5
Let f = 67/30 + -11/15. Factor 3/2*s**5 + 0*s**2 + 0 - 3*s**4 + 0*s + f*s**3.
3*s**3*(s - 1)**2/2
Factor n**3 + 2*n + 2 - 4*n**2 + 0 - 5*n**3 + 2*n**4 + 10*n**5 - 8*n**5.
2*(n - 1)**2*(n + 1)**3
Let f be -6 + 745/120 - (-1)/8. Factor -1/3 + 1/3*n - 1/3*n**3 + f*n**2.
-(n - 1)**2*(n + 1)/3
Factor -2*j**3 + j**2 + 5/2*j - 2*j**4 + 1 - 1/2*j**5.
-(j - 1)*(j + 1)**3*(j + 2)/2
Let b = 7/425 + 2/85. Let n(k) be the second derivative of -b*k**5 - 2*k + 0*k**4 + 2/15*k**3 + 0 - 1/75*k**6 + 1/5*k**2. Find m such that n(m) = 0.
-1, 1
Let x(j) = 5*j - 13. Let p be x(3). Let n(a) be the third derivative of -1/32*a**4 + 0*a**3 + 0 + 0*a + p*a**2 + 1/20*a**5. What is q in n(q) = 0?
0, 1/4
Let b be (-1)/(-4) + 210/24. Suppose -5*j = -6 - b. Let 0*t + 0 + 1/3*t**4 + 0*t**j - 1/3*t**2 = 0. Calculate t.
-1, 0, 1
Let u(l) be the first derivative of -14*l**5/5 - 6*l**4 - 2*l**3 + 2*l**2 + 7. Solve u(i) = 0 for i.
-1, 0, 2/7
Let h be 1 - (-2 - (-4)/1). Let u be h/1 + 2 + 2. Determine x, given that -14*x**5 + 2*x - 13*x**4 + 8*x**3 + 10*x**2 + 10*x**3 - 6*x + u*x**4 = 0.
-1, 0, 2/7, 1
Let y(z) = 3*z**2 - 6*z + 10. Let b(m) = 13*m**2 - 23*m + 39. Let d(n) = -4*b(n) + 18*y(n). Solve d(j) = 0 for j.
2, 6
Let s(u) = 9*u**3 - u**2 + u. Let c be s(1). Let k(v) = -v**2 + 7*v - 6. Let n(o) = -3*o**2 + 15*o - 12. Let i(r) = c*k(r) - 4*n(r). Factor i(g).
3*(g - 1)*(g + 2)
Let c(d) = -1 + 0 - 3*d - 2*d + 0. Let n be c(-1). Let 0 + 1/4*k**n + 3/4*k**2 - 3/4*k**3 - 1/4*k = 0. Calculate k.
0, 1
Let z = 25 - 25. Suppose 1/4*u**3 + 0 + z*u**2 + 1/2*u**4 + 0*u = 0. Calculate u.
-1/2, 0
Let k = -16/15 - -37/30. Let u(a) be the second derivative of 0 + 1/2*a**2 - k*a**3 + 1/20*a**5 - 1/12*a**4 - a. Factor u(d).
(d - 1)**2*(d + 1)
Let b be (-7)/(-14)*(0 + 0). Factor -12/5*v**4 + 4/5*v**2 + 0*v + 0 + 8/5*v**5 + b*v**3.
4*v**2*(v - 1)**2*(2*v + 1)/5
Let d(w) = -21*w**3 + 39*w**2 - 48*w. Let g(l) = -2*l**2 + 12*l - l**2 - 7*l**2 + 5*l**3. Let s(n) = 2*d(n) + 9*g(n). Solve s(k) = 0.
0, 2
Let x(o) be the first derivative of -o**3 - 21*o**2 - 147*o + 1. Find y, given that x(y) = 0.
-7
Factor 10/9*r**2 + 4/9 - 14/9*r.
2*(r - 1)*(5*r - 2)/9
Let r(c) = 2*c**5 - 11*c**4 - 3*c**3 + 11*c**2 - 9*c + 5. Let p(s) = -s**4 - s**3 + s**2 - s + 1. Let g(m) = 5*p(m) - r(m). Let g(l) = 0. Calculate l.
-1, 0, 1, 2
Factor -14 - a + 14 - a**3 + 2*a**2.
-a*(a - 1)**2
Let l be (-4)/((-40)/18*(-15)/(-80)). Factor -44/5*n**3 - l*n**4 - 16/5*n**2 - 2/5*n + 0 - 18/5*n**5.
-2*n*(n + 1)**2*(3*n + 1)**2/5
Let k = -12 + 37/3. Let y(h) be the first derivative of 2 - k*h**3 + 3/2*h**2 - 2*h. Determine v, given that y(v) = 0.
1, 2
Let 49/3 + 1/3*o**2 + 14/3*o = 0. What is o?
-7
Find o, given that -2/3*o**2 + 0 + 0*o = 0.
0
Let l(m) be the first derivative of 135/4*m**4 + 6*m**2 - 24*m**3 + 0*m + 1 - 15*m**5. What is n in l(n) = 0?
0, 2/5, 1
Factor -2*n + 8*n**5 - 5*n**5 + n**5 + 16*n**2 + 16*n**4 + 6*n + 24*n**3.
4*n*(n + 1)**4
Let l = -1/571 + 739/95928. Let w(a) be the third derivative of -2/3*a**3 - 3/4*a**4 + a**2 - l*a**8 - 8/15*a**5 + 0 - 7/30*a**6 - 2/35*a**7 + 0*a. Factor w(r).
-2*(r + 1)**4*(r + 2)
Let r = 296 + -294. What is k in -3/5*k**3 + 1/5*k - 2/5*k**r + 0 = 0?
-1, 0, 1/3
Let f(j) be the third derivative of -j**7/2520 + j**5/120 - j**4/8 + 3*j**2. Let c(o) be the second derivative of f(o). Factor c(s).
-(s - 1)*(s + 1)
Let z be 240/180*(-6)/(-16). Find t such that 0 - 7/4*t**3 + 7/4*t**2 + z*t - 3*t**4 = 0.
-1, -1/4, 0, 2/3
Let t(o) be the third derivative of o**5/50 - o**4/15 + 4*o**3/45 - 20*o**2. Factor t(d).
2*(3*d - 2)**2/15
Let u(i) be the second derivative of 0*i**5 + 0*i**2 - 3*i + 2/3*i**3 - 1/15*i**6 + 1/2*i**4 + 0. Factor u(y).
-2*y*(y - 2)*(y + 1)**2
Let c(x) be the second derivative of x**6/60 + x**5/20 + x**4/24 - 20*x. Factor c(h).
h**2*(h + 1)**2/2
Let s = -58 + 64. Let z(k) be the second derivative of 1/20*k**5 + 0 + 1/60*k**s - k - 1/4*k**2 + 0*k**4 - 1/6*k**3. Determine v, given that z(v) = 0.
-1, 1
Let s(o) be the first derivative of o**4 - 8*o**3/3 + 2*o**2 - 7. Let s(v) = 0. Calculate v.
0, 1
Let a be (-2)/3 + 210/135. Factor 2/9*y**4 - a*y + 0 + 2/3*y**3 + 0*y**2.
2*y*(y - 1)*(y + 2)**2/9
Let r(q) be the first derivative of -1/6*q**2 - 2/3*q + 1/9*q**3 - 1. Factor r(v).
(v - 2)*(v + 1)/3
Let w = -189 - -191. What is v in -1/2*v - 7/2*v**3 + 0 - 3/2*v**4 - 5/2*v**w = 0?
-1, -1/3, 0
Let t(a) be the third derivative of a**11/166320 + a**10/75600 + a**5/15 + 2*a**2. Let p(l) be the third derivative of t(l). Factor p(b).
2*b**4*(b + 1)
Factor 1/5*t**3 - 2/5*t**2 + 8/5 - 4/5*t.
(t - 2)**2*(t + 2)/5
Let -19*z**2 + 8*z**2 + 7*z**2 - 4*z**3 = 0. What is z?
-1, 0
Let g be (-14)/21*(5/20 - 1). Suppose -1/2*c**2 + g*c + 0 = 0. What is c?
0, 1
Find f, given that 0 + 3*f**5 + 4/3*f - 5/3*f**4 - 13/3*f**3 + 5/3*f**2 = 0.
-1, -4/9, 0, 1
Let g(n) be the first derivative of n**6/6 + n**5/5 - n**4/4 - n**3/3 - 7. Factor g(h).
h**2*(h - 1)*(h + 1)**2
Let q(o) be the third derivative of -o**8/84 - 8*o**7/105 - o**6/10 + 10*o**2. Solve q(v) = 0.
-3, -1, 0
Let h(v) be the first derivative of 4*v**7/315 + 13*v**6/180 + v**5/6 + 7*v**4/36 + v**3/9 - v**2 + 3. Let j(r) be the second derivative of h(r). Factor j(z).
2*(z + 1)**3*(4*z + 1)/3
Let c(w) be the second derivative of w**8/10080 - w**6/1080 + w**4/4 - 2*w. Let n(g) be the third derivative of c(g). Factor n(b).
2*b*(b - 1)*(b + 1)/3
Let j(r) be the third derivative of r**7/280 + r**6/80 + r**5/80 + 5*r**2. Factor j(w).
3*w**2*(w + 1)**2/4
Let g(t) = -t**5 - t**3 - t**2 - 1. Let d(i) = 2*i**5 - 5*i**4 - 5*i**3 - i**2 + 3. Let s(r) = 4*d(r) + 12*g(r). Factor s(f).
-4*f**2*(f + 1)*(f + 2)**2
Let c be (-3093)/(-21) + 0 + -3. Let t = -144 + c. Factor -2/7*u**2 - t - 4/7*u.
-2*(u + 1)**2/7
Let o(n) = -4*n - 13. Let g be o(-8). Let t be (-3 + g/7)*-2. Solve 2/7*l**3 + 0 + t*l**2 + 0*l = 0 for l.
-2, 0
Let n(j) = j**2 + j + 1. Let z be n(-2). Solve 2*k**z - 3*k**4 - 3*k**3 - 2*k + k**4 - 5*k**3 - 6*k**2 = 0 for k.
-1, 0
Let h(w) be the second derivative of -w**4/24 - 11*w**3/6 - 121*w**2/4 - 2*w + 4. Let h(j) = 0. What is j?
-11
Factor -5*m - 3*m**4 + 5*m**5 - 2 - 4*m**2 + 9*m**4 + 4*m**3 - 3*m**5 - m.
2*(m - 1)*(m + 1)**4
Let b be 8/6*(6/(-4) + 3). Let m = -9/28 + 7/4. What is y in 4/7*y**3 - 2*y**5 + 0*y + 0 + m*y**4 + 0*y**b = 0?
-2/7, 0