+ 9/7*u**2.
(u + 3)**3/7
Suppose -3*m + 30 = 3*o - 0*m, 4*o + 5*m = 44. Solve -2*y**3 - 2*y**5 + o*y**3 - 2*y**3 = 0 for y.
-1, 0, 1
Suppose -2*q - 8 = 0, -5*w + 1 - 29 = 2*q. Let a be 2 + (-1 - (-1)/w). Factor -1/4 - 3/4*r**2 + 1/4*r**3 + a*r.
(r - 1)**3/4
Let b(d) be the first derivative of -d**5/20 - d**4/4 + 5*d**3/12 + 29. Factor b(f).
-f**2*(f - 1)*(f + 5)/4
Find t, given that 5/3*t**2 - 5/6*t**3 + 0 - 5/6*t = 0.
0, 1
Suppose 4*h - 3*a - 1 = -0*h, 0 = -a + 5. Let i be (2/h)/((-1)/(-10)). Factor -4*t**4 + t**3 - 2*t**i + 7*t**4 - 2*t**3.
-t**3*(t - 1)*(2*t - 1)
Let c = 1684/7 + -240. Solve -2/7 + 6/7*l - c*l**2 - 4/7*l**3 + 6/7*l**4 - 2/7*l**5 = 0 for l.
-1, 1
Let v = 11 - 11. Factor -2/5*c**2 + v + 2/5*c**3 + 0*c.
2*c**2*(c - 1)/5
Let x = 25 - 25. Suppose -2*u + 5*u - 6 = x. Let 0 + 4/5*i + 2/5*i**u = 0. Calculate i.
-2, 0
Factor r**3 - 74*r**2 - 5*r**3 + 86*r**2.
-4*r**2*(r - 3)
Let w(p) be the third derivative of p**5/60 - 5*p**4/24 - p**3/3 - 3*p**2. Let u be w(6). Solve -3/4*s**u - 9/2*s**2 - 3*s**3 - 3*s - 3/4 = 0 for s.
-1
Find a, given that -18*a**2 - 47*a**4 + 15*a**3 + 92*a**4 - 48*a**4 = 0.
0, 2, 3
Let p(j) be the second derivative of j**4/4 - 3*j**2/2 + 16*j. Factor p(w).
3*(w - 1)*(w + 1)
Factor -2/7*v**3 + 18/7*v**2 + 32/7 - 48/7*v.
-2*(v - 4)**2*(v - 1)/7
Let a(m) = -m**3 - m**2 + m. Let r(p) = 4*p**4 - 16*p**3 + 16*p - 8. Let n(y) = 4*a(y) - r(y). Suppose n(v) = 0. What is v?
-1, 1, 2
Suppose 7*u = 10*u. Solve u*i + 2*i**3 - 3*i**4 + 0 - 1/3*i**2 = 0 for i.
0, 1/3
Let q be ((-6)/(-270))/((-20)/(-6)). Let y(c) be the second derivative of -q*c**6 + 3/100*c**5 + 1/30*c**3 + 0*c**2 - 1/20*c**4 + 2*c + 0. Factor y(w).
-w*(w - 1)**3/5
Let c = 4 - 3. Let a = c - -1. Factor -4/7*u + 0 + 6/7*u**a + 10/7*u**3.
2*u*(u + 1)*(5*u - 2)/7
Let n(b) be the first derivative of b**8/1680 - b**7/210 + b**6/60 - b**5/30 + b**4/24 + 5*b**3/3 - 1. Let l(k) be the third derivative of n(k). Factor l(h).
(h - 1)**4
Let n be (-4)/8 + (-18)/(-4). Solve p - 1 - 2*p**4 - p**3 + 3*p**2 - p**n + 2*p**4 - 1 = 0.
-2, -1, 1
Factor q**3 - q + 1/2 + 0*q**2 - 1/2*q**4.
-(q - 1)**3*(q + 1)/2
Let k(u) = -85*u**3 + 265*u**2 - 205*u + 95. Let i(f) = -7*f**3 + 22*f**2 - 17*f + 8. Let q(y) = 35*i(y) - 3*k(y). Factor q(m).
5*(m - 1)**2*(2*m - 1)
Let b(n) be the first derivative of -4*n**5/5 + 3*n**4 - 8*n**3/3 - 13. Let b(a) = 0. Calculate a.
0, 1, 2
Factor -2/5*x**3 + 2/5*x - 8/5 + 8/5*x**2.
-2*(x - 4)*(x - 1)*(x + 1)/5
Suppose -6 = -2*j - 0*j. Factor -29*q**3 + 21*q - 6 + 8*q**j - 4*q**2 + 10*q**2.
-3*(q - 1)*(q + 1)*(7*q - 2)
Let x(s) = 6*s**2 + s + 7. Suppose -19 = 4*y + a, 0 = 4*a - 6*a - 6. Let v(k) = -3*k**2 - k - 4. Let d(p) = y*x(p) - 7*v(p). Factor d(o).
-3*o*(o - 1)
Suppose -3*k = -5 - 13. Let x be 2 - (16/k - 2). Solve 2*d - 2*d**3 + x*d**2 - 4/3 = 0.
-1, 2/3, 1
Let n(c) be the third derivative of -c**8/5040 - c**7/630 - c**6/360 + c**5/90 + c**4/18 + c**3/6 - c**2. Let g(t) be the first derivative of n(t). Factor g(w).
-(w - 1)*(w + 1)*(w + 2)**2/3
Let a = 19 - 19. Let h(t) be the third derivative of a + 0*t**4 + t**2 - 1/600*t**6 + 0*t + 1/300*t**5 + 0*t**3. Let h(x) = 0. What is x?
0, 1
Let h(g) be the third derivative of g**7/420 + g**6/240 - g**5/60 + 8*g**2. Find f, given that h(f) = 0.
-2, 0, 1
Let i(o) be the second derivative of -o**5/50 - o**4/10 + o**3/15 + 3*o**2/5 - 8*o. Factor i(a).
-2*(a - 1)*(a + 1)*(a + 3)/5
Let p be ((-10)/3)/(4/(-6)). Suppose i + 0*d - 2*d + p = 0, -2 = -2*i + d. Solve 2*h**3 + 3*h**3 - 4*h**i = 0 for h.
0
Let i(m) be the second derivative of 2*m**6/15 - m**5/10 - 7*m**4/48 - m**3/24 + 29*m. Find q such that i(q) = 0.
-1/4, 0, 1
Suppose 0 = -m + z + 9, m - 3*m + 5*z = -33. Let x be (6/m)/(12/16). Solve -t**x + 3 - 3 - t = 0 for t.
-1, 0
Let q(p) = p**3 - p - 1. Let d(j) = -8*j**3 + 4*j**2 + 18. Let h(m) = 2*d(m) + 28*q(m). Factor h(c).
4*(c - 1)*(c + 2)*(3*c - 1)
Suppose 5*n - 42 = -16*n. Factor 0*g + g**3 - 3/2*g**n + 1/2.
(g - 1)**2*(2*g + 1)/2
Let x(u) be the third derivative of 0*u**3 + 0*u - 1/330*u**5 - 1/1155*u**7 + 0 - 1/330*u**6 + u**2 + 0*u**4. Find v such that x(v) = 0.
-1, 0
Factor -o**2 - 1 - 2 + 12*o - 8*o.
-(o - 3)*(o - 1)
Factor -639*k**3 + 639*k**3 - 4 + 8*k**2 - 4*k**4.
-4*(k - 1)**2*(k + 1)**2
Solve -6*s**2 + 27*s**3 - 12*s**5 - 24*s + 24*s - 9*s**4 = 0 for s.
-2, 0, 1/4, 1
Let j = -107 - -1189/11. Let k be (5*4/275)/((-4)/(-10)). Factor -j*t - 18/11*t**2 - k.
-2*(3*t + 1)**2/11
Let a(h) be the third derivative of h**8/1680 - h**7/210 + h**6/75 - h**5/75 + 5*h**2. Determine n, given that a(n) = 0.
0, 1, 2
Suppose -2 = -5*k + 4*k. Let q(r) be the second derivative of 0*r**k + 1/30*r**4 - 2/15*r**3 + 0 + r. Suppose q(d) = 0. Calculate d.
0, 2
Let h = -16 + 18. Let u(w) be the first derivative of -2/9*w**3 - 2/3*w - 2/3*w**h - 1. Find o, given that u(o) = 0.
-1
Let i(p) be the second derivative of 3*p**6/70 + 29*p**5/140 + 2*p**4/7 + 2*p**3/21 - 5*p. Suppose i(w) = 0. What is w?
-2, -1, -2/9, 0
Let c be (-20)/(-6) + (-5)/15. Let f(d) be the second derivative of -3*d - 1/30*d**4 + 0*d**2 + 0 - 2/15*d**c. Suppose f(o) = 0. Calculate o.
-2, 0
Let x = 160 - 156. Let i(q) be the second derivative of -1/3*q**3 + 2*q**2 - 1/2*q**x + 0 + 1/10*q**5 - 2*q + 1/15*q**6. Factor i(v).
2*(v - 1)**2*(v + 1)*(v + 2)
Suppose -4*p + 0*p = 16, s + 2*p = -10. Let h be (-22)/s - 1*3. Determine o so that -2*o**5 - 8*o - o**2 + h*o**4 + 7*o**3 - 4 + 3*o**5 - 3*o**4 = 0.
-2, -1, 1
Let r be (-16)/20*(-5)/2. Let d(q) be the first derivative of -3*q**2 - q**3 + 4 - r*q - q + 12*q. Factor d(g).
-3*(g - 1)*(g + 3)
Let n be ((-1)/2)/(3/(-96)). Let u be (n/8)/(0 - -3). Suppose -2/3 - 4/3*v**3 + 2/3*v**5 - u*v**4 + 4/3*v**2 + 2/3*v = 0. Calculate v.
-1, 1
Let i be (-6)/2 + (-1896)/(-630). Let r(s) be the second derivative of -3*s - 1/70*s**5 - i*s**6 + 0*s**3 + 0*s**4 + 0*s**2 + 0. Factor r(k).
-2*k**3*(k + 1)/7
Let s = 31 - 18. Let o = 16 - s. Solve -1/2*f**4 + 2*f - 1/2 - o*f**2 + 2*f**3 = 0.
1
Factor -4/7*p**3 + 12/7*p - 1/7*p**4 - 9/7 + 2/7*p**2.
-(p - 1)**2*(p + 3)**2/7
Suppose 0 = -11*f + 2 - 2. Let p(n) be the second derivative of 0*n**2 + 0 + 0*n**3 + 1/18*n**4 + f*n**5 - 1/45*n**6 - n. Factor p(m).
-2*m**2*(m - 1)*(m + 1)/3
Determine s so that 0*s**3 + 6/7*s**2 + 0 - 2/7*s**4 - 4/7*s = 0.
-2, 0, 1
Let d = 10 + 4. Let h be (-4)/10 - d/(-10). Factor -n - h - 3*n - n**2 - 3.
-(n + 2)**2
Let c(u) = -281*u**2 - 155*u - 37. Let s = 6 + 0. Let r(z) = -47*z**2 - 26*z - 6. Let d(x) = s*c(x) - 39*r(x). What is y in d(y) = 0?
-2/7
Factor -2*h**4 - 28*h - 8*h**2 + 24*h**3 + 16*h**4 + 4*h**5 - 12 + 6*h**4.
4*(h - 1)*(h + 1)**3*(h + 3)
Suppose 5*i = 3*v - 1, 8*i - 1 = 4*i + 3*v. Let l be 0/i - 0/5. Factor -2*h + h**2 + 0 + l.
h*(h - 2)
Let h(i) be the third derivative of -i**6/40 + i**5/4 - i**4 + 2*i**3 - i**2 - 3. Find g such that h(g) = 0.
1, 2
Suppose -36*o + 55*o - 38 = 0. Factor -8/3*f + 4*f**4 + 0 - 26/3*f**3 + 8*f**o - 2/3*f**5.
-2*f*(f - 2)**2*(f - 1)**2/3
Let z = 5 + -11. Let c = z - -8. Find k such that 5 + k - c*k**2 - 2 - k**3 - 1 = 0.
-2, -1, 1
Let w(a) be the third derivative of 3*a**2 + 1/15*a**6 - 1/6*a**4 - 1/84*a**8 - 2/15*a**5 + 2/3*a**3 + 0*a + 2/105*a**7 + 0. Factor w(j).
-4*(j - 1)**3*(j + 1)**2
Let u(h) be the first derivative of h**6/10 - 6*h**5/25 - 21*h**4/20 - 4*h**3/5 + 4. Determine c, given that u(c) = 0.
-1, 0, 4
Find k such that 4/5*k**2 + 8/5*k**3 + 4/5*k**4 + 0 + 0*k = 0.
-1, 0
Let f(p) be the second derivative of -p**6/165 - 4*p**5/55 - 4*p**4/11 - 32*p**3/33 - 16*p**2/11 + 3*p. Factor f(g).
-2*(g + 2)**4/11
Let v(d) be the second derivative of 3*d**5/5 - 2*d**4 + 5*d**3/2 - 3*d**2/2 + d. Solve v(g) = 0 for g.
1/2, 1
Let r(j) be the second derivative of -8*j**6/35 - j**5/5 - j**4/21 - 10*j. Factor r(i).
-4*i**2*(3*i + 1)*(4*i + 1)/7
Suppose -5*y = -13 - 2. Suppose -2*c + 5*v - y = -9, 4*c - 12 = v. Let -4/7*q**c + 8/7*q**5 - 2*q**4 - 4/7*q - 2/7 + 16/7*q**2 = 0. What is q?
-1, -1/4, 1
Let i = -8 + 12. Let w = -3 - -6. Let 2/7*j**i + 0 - 6/7*j**w + 6/7*j**2 - 2/7*j = 0. Calculate j.
0, 1
Let m(l) = 12*l**5 + 45*l**4 + 51*l**3 - 108*l**2 + 15*l. Let b(c) = 3*c**5 + 11*c**4 + 13*c**3 - 27*c**2 + 4*c. Let s(g) = -15*b(g) + 4*m(g). Factor s(y).
3*y**2*(y - 1)*(y + 3)**2
Let y(b) be the first derivative of 0