3*(2*g + 1)/4
Factor -4/3*q**2 + 0*q + 2*q**3 + 0 - 2/3*q**4.
-2*q**2*(q - 2)*(q - 1)/3
Let s(u) be the second derivative of u**7/5040 + u**6/240 + 3*u**5/80 - u**4/3 - 4*u. Let m(n) be the third derivative of s(n). Find g such that m(g) = 0.
-3
Let k(y) be the first derivative of -2*y**3/15 - 16*y**2/5 - 128*y/5 + 46. Let k(z) = 0. Calculate z.
-8
Factor -1/2*m**5 - 2*m + 3/2*m**3 + 0 + 2*m**2 - m**4.
-m*(m - 1)**2*(m + 2)**2/2
Let o(h) be the third derivative of h**8/4200 - h**7/2100 + 2*h**3/3 - h**2. Let l(a) be the first derivative of o(a). Factor l(z).
2*z**3*(z - 1)/5
Let y(w) = -2*w**3 + 3*w + 3. Let o be y(5). Let r be 1/(-5) + o/(-360). Solve r - 2/9*t - 2/9*t**2 = 0 for t.
-2, 1
Let -4*h - 2*h**2 + 2*h + 3 - 2*h - 5 = 0. Calculate h.
-1
Let r(m) be the third derivative of -m**6/30 - m**5/3 - 4*m**4/3 - 8*m**3/3 - 6*m**2. Solve r(d) = 0 for d.
-2, -1
Suppose 2*k - 3*b = -6, -2*k - b = -0*b + 14. Let f be (2/8)/(k/(-8)). Factor 1/3*q**3 - f*q + 0*q**2 + 0.
q*(q - 1)*(q + 1)/3
Let r(c) be the first derivative of c**3/27 + c**2 + 9*c - 24. Solve r(w) = 0.
-9
Let y(m) be the third derivative of 2*m**5/105 + m**4/42 - 2*m**3/21 - m**2. Find p such that y(p) = 0.
-1, 1/2
Factor 0*j**2 + 2/3*j**3 - 2/3*j + 0.
2*j*(j - 1)*(j + 1)/3
Let c = -61 - 66. Let m = c - -647/5. Factor -m*q**3 - 2/5*q**4 + 0 - 16/5*q - 24/5*q**2.
-2*q*(q + 2)**3/5
Let w(q) be the second derivative of 0 - 1/10*q**5 - 2*q**2 + 1/15*q**6 + 5/3*q**3 + q - 1/2*q**4. Determine g so that w(g) = 0.
-2, 1
Suppose -19 = 2*q + l + 4*l, -q + l + 8 = 0. Suppose q*i + 15 = 0, 2*i = 3*f - 3 - 13. Factor j + j**2 + j**5 - 3*j**2 - 2*j**5 + f*j**4.
-j*(j - 1)**3*(j + 1)
Factor -26*s**3 - 276*s + 66 + 320*s**2 + 44 - 38 - 74*s**3.
-4*(s - 2)*(5*s - 3)**2
Suppose 5*a - 4*y - 12 = 0, 6*a = 5*a + 4*y - 4. Suppose -a*i + 3 = -3*i. Factor 2/7*x + 0*x**2 + 0 - 2/7*x**i.
-2*x*(x - 1)*(x + 1)/7
Let o(t) = 2*t + 12. Let q be o(-5). Let a(w) be the first derivative of -1/12*w**3 + 1/8*w**q - 1 - 1/16*w**4 + 1/20*w**5 + 0*w. Factor a(c).
c*(c - 1)**2*(c + 1)/4
Let u(r) = -r**4 + r**3 + r**2. Let m(l) = -10*l**4 + 34*l**3 + 8*l**2 - 56*l - 16. Let f(s) = m(s) + 4*u(s). Suppose f(y) = 0. What is y?
-1, -2/7, 2
Let o be (55/(-198))/((-20)/12). Factor -1/6*m**2 - 1/6*m + 1/6 + o*m**3.
(m - 1)**2*(m + 1)/6
Let s(p) be the second derivative of -p**5/4 + 15*p**4/4 - 25*p**3/2 - 125*p**2/2 - 33*p. Find m, given that s(m) = 0.
-1, 5
Let p(o) be the first derivative of -12/7*o**2 + 7 - 3/7*o**4 - 8/7*o - 26/21*o**3 - 2/35*o**5. Determine n so that p(n) = 0.
-2, -1
Let v(t) be the first derivative of 0*t**3 + 0*t**4 + 0*t + 3 - 1/30*t**5 + t**2. Let z(u) be the second derivative of v(u). Let z(m) = 0. Calculate m.
0
Factor -6/5*n**3 + 3/5*n**5 + 3/5 + 3/5*n + 3/5*n**4 - 6/5*n**2.
3*(n - 1)**2*(n + 1)**3/5
Factor -8*f + 0*f**2 - 4*f**2 + 2*f**3 + 5*f**2 + 5*f**2.
2*f*(f - 1)*(f + 4)
Let f(r) be the second derivative of r**5/130 - r**4/26 + r**3/13 - r**2/13 + 8*r. Determine z, given that f(z) = 0.
1
Let q be 6/28*4/(-12). Let i = q + 5/21. Suppose -i*m - 1/3 + 1/6*m**2 = 0. Calculate m.
-1, 2
Find m, given that 0 - 8/13*m + 2/13*m**2 = 0.
0, 4
Let n(m) = -m**2 + 8*m - 1. Suppose 2*r + r + 9 = -3*t, -5*r = 4*t + 10. Let p(d) = d**2 - 4*d + 1. Let s(l) = t*p(l) - 3*n(l). Factor s(g).
-2*(g + 1)**2
Suppose 3*m + q = 37, -7*m + 5*q = -2*m - 95. Suppose 0 = g - 2*g + 2. What is u in -m*u**2 + 3 + 13*u**g - 3 = 0?
0
Let u(j) be the second derivative of -j**6/40 - j**5/10 + j**2/2 + 3*j. Let q(z) be the first derivative of u(z). Factor q(l).
-3*l**2*(l + 2)
Factor 21*w**5 + 0*w**4 - 23*w**5 + 2*w**4 - 4*w**4.
-2*w**4*(w + 1)
Let r(h) = h**3 + 8*h**2 + 7*h + 9. Let s be r(-7). Suppose 0 = s*c - 4*c - 15. Find m, given that 0 + 2/5*m**c + 0*m - 2/5*m**4 + 2/5*m**2 - 2/5*m**5 = 0.
-1, 0, 1
Let r be -2 + -1 - (-2)/2. Let k be 2*r/4 + 1. Factor 4/3*j**3 + k + 0*j + 2/3*j**2 + 2/3*j**4.
2*j**2*(j + 1)**2/3
Let c(m) be the third derivative of -m**6/360 - m**5/120 - m**3/2 - m**2. Let n(a) be the first derivative of c(a). What is f in n(f) = 0?
-1, 0
Let v be (-2)/(-1 + -1)*-3. Let t be 2*v/6 - -5. Determine a so that -4*a + 2*a - t*a**2 + 2*a**2 = 0.
-1, 0
Suppose 0 + 3 = 3*a. Suppose -7 = -3*l - a. Suppose -6*k - 3 + 0 + 5 - l*k**3 + 6*k**2 = 0. What is k?
1
Let y = 30 + -359/12. Let m(h) be the second derivative of 0 + 1/2*h**2 - h + 1/3*h**3 + y*h**4. Determine s so that m(s) = 0.
-1
Factor 3/4*v + 1/4*v**2 + 0.
v*(v + 3)/4
Suppose 0 = 2*t - 7*t. Suppose -3*c + 5*c - 6 = 4*m, -5*c + 4*m + 15 = 0. Factor -3*r**c - 2*r**4 + 7*r**3 + t*r**4.
-2*r**3*(r - 2)
Factor -10/7*n**5 + 0*n**2 - 2/7*n**3 + 0*n + 12/7*n**4 + 0.
-2*n**3*(n - 1)*(5*n - 1)/7
Let o(g) = -g**3 - 4*g**2 + 4*g + 16. Let y be o(-4). Let t(a) be the second derivative of -2*a + y*a**2 + 1/3*a**3 - 1/6*a**4 + 0. Let t(x) = 0. What is x?
0, 1
Factor 1/2 + 1/2*n**2 + n.
(n + 1)**2/2
Let o(c) be the second derivative of c**6/480 - c**5/80 + c**4/32 + 5*c**3/6 - 8*c. Let y(v) be the second derivative of o(v). Factor y(h).
3*(h - 1)**2/4
Let a(j) be the second derivative of j**7/70 - j**6/40 - j**5/20 + j**4/8 + j**2/2 + 2*j. Let n(o) be the first derivative of a(o). Let n(k) = 0. Calculate k.
-1, 0, 1
Let x(d) be the first derivative of 5*d**4/12 + 35*d**3/9 + 10*d**2/3 - 20*d + 42. Solve x(h) = 0.
-6, -2, 1
Factor 0 + 9/8*z + 3/8*z**3 - 3/2*z**2.
3*z*(z - 3)*(z - 1)/8
Let b = -31/4 + 8. Let i = -59 + 62. Solve -b*u**4 + 1/2*u + 1/4 + 0*u**2 - 1/2*u**i = 0 for u.
-1, 1
Let g(c) be the third derivative of c**8/20160 + c**7/3780 + c**6/2160 - c**4/24 - 4*c**2. Let u(z) be the second derivative of g(z). Factor u(s).
s*(s + 1)**2/3
Let d(y) = 15*y**4 + 60*y**3 + 78*y**2 + 72*y + 15. Let l(u) = 6*u**4 + 24*u**3 + 31*u**2 + 29*u + 6. Let r(c) = -5*d(c) + 12*l(c). Factor r(q).
-3*(q + 1)**4
Suppose 2*a = 5*a - 6. Let h = a + 2. What is x in h*x**3 - 6*x - 4*x - 6*x**4 + 6*x + 8*x**2 - 2 = 0?
-1, -1/3, 1
Let r(o) be the second derivative of -o**4/24 - 2*o**3/3 - 7*o**2/4 + o. Let r(f) = 0. What is f?
-7, -1
Let b(d) = -d + 11. Let f be b(8). Let k be (-2)/(4*f/(-18)). Factor 2*w + 2*w**2 - 3*w + k*w.
2*w*(w + 1)
Suppose -2*q - 13 = 55. Let u = q - -36. Determine w so that 0 - 1/2*w - 1/2*w**u = 0.
-1, 0
Let g(d) = -d**3 + d**2. Let l(w) = -14*w**3 + 12*w**2 + 2*w. Suppose 5 = -2*k - 19. Let j = 14 + -13. Let a(t) = j*l(t) + k*g(t). Let a(s) = 0. Calculate s.
-1, 0, 1
Let d(y) be the first derivative of 3/2*y**4 + 0*y + 0*y**2 + 4/3*y**3 - 8 + 2/5*y**5. Find v, given that d(v) = 0.
-2, -1, 0
Suppose -5*t + 126 - 40 = q, -3*t + 4*q = -47. Suppose -s - 5*i + t = 0, -2*s - 5 = -5*i + 6. Factor -2*m**2 + m**3 - 2*m + m - s*m**3.
-m*(m + 1)**2
Let b be ((-1)/(-4))/((-8)/(-160)). Suppose v + 2*v - 19 = -g, 5*g + b*v - 45 = 0. Factor 2/3*q**3 - 1/3*q - 1/3*q**g - 1/3 - 1/3*q**5 + 2/3*q**2.
-(q - 1)**2*(q + 1)**3/3
Let a(d) = d**3 - d - 1. Suppose -2 = -3*w + w. Let k(q) = -6*q**3 + 4*q**2 + 6*q. Let o(b) = w*k(b) + 4*a(b). Factor o(x).
-2*(x - 2)*(x - 1)*(x + 1)
Suppose -5*z = -g - 8, -2*g + 0*g = -3*z + 2. Let r = 1/34 + 8/17. Find c, given that -r*c - 1/4 - 1/4*c**g = 0.
-1
Let x be 1/(-2) + (-27)/(-18) + 2. Find z such that -4/3 + 14/3*z**x + 2*z + 8*z**2 = 0.
-1, 2/7
Let z(o) = 5*o**5 - o**4 + 2*o**3 + 3*o + 3. Let v(j) = 2*j**3 + 0*j**5 + 7 - 3 + 4*j + 6*j**5. Let u(h) = 3*v(h) - 4*z(h). Determine g, given that u(g) = 0.
0, 1
Let c(s) be the third derivative of -s**9/181440 - s**8/30240 + 3*s**5/20 + 9*s**2. Let t(u) be the third derivative of c(u). Determine b, given that t(b) = 0.
-2, 0
Factor -q**3 + 0*q - 2*q**3 - 4*q**2 - 2*q + q**3.
-2*q*(q + 1)**2
Determine o so that 10/7 - 12/7*o + 2/7*o**2 = 0.
1, 5
Let u(r) = -1 + 0*r + 2 + 6*r - 4. Let d be u(3). Factor -5*l**2 + 8*l + 5*l**2 - d - 2*l**2 + 7.
-2*(l - 2)**2
Let u(j) be the second derivative of -j**6/12 - 3*j**5/8 - 5*j**4/12 - j + 8. Factor u(n).
-5*n**2*(n + 1)*(n + 2)/2
Let y(o) = -5*o**3 - 21*o**2 - 16*o + 11. Let p(u) = u**3 + 4*u**2 + 3*u - 2. Let j(h) = 33*p(h) + 6*y(h). Solve j(c) = 0 for c.
-1, 0
Let o(q) be the first derivative of q**7/105 + q**6/60 - q**5/30 - q**4/12 + 3*q**2/2 - 8. Let h(k) be the second derivative of o(k). Solve h(t) = 0 for t.
-1, 0, 1
Factor -4/15*a + 4/15*a**3 - 2/15 + 0*a**2 