et b be p(-10). Find h, given that 2/7*h - 2/7*h**b + 0 = 0.
0, 1
Let u(y) be the third derivative of -2/3*y**3 - 1/12*y**4 + 8*y**2 + 1/30*y**5 + 0 + 0*y. Let u(a) = 0. Calculate a.
-1, 2
Let g(x) = -4*x**4 + 16*x**3 - 8*x. Let a(k) = -3*k**4 + 11*k**3 - 5*k. Let q(c) = -8*a(c) + 5*g(c). Factor q(r).
4*r**3*(r - 2)
Let l = 202321/120 + -1686. Let u(o) be the third derivative of 0*o**3 + 1/120*o**5 + 0*o**4 + 1/420*o**7 + 0 + 0*o + o**2 + l*o**6. Factor u(x).
x**2*(x + 1)**2/2
Let t = -1015/3 - -343. What is v in 4/3*v + t*v**3 + 0 + 6*v**2 = 0?
-1, -2/7, 0
Let p(z) = -z**5 - z**4 + z**3 - z**2 + 1. Let a(b) = -7*b**5 + 13*b**4 - 8*b**3 - 2*b**2 + 2. Let l(n) = a(n) - 2*p(n). Solve l(v) = 0.
0, 1, 2
Let -218*j + 0*j**2 + 206*j + 4*j**2 = 0. What is j?
0, 3
Find h such that 27/5 + 3/5*h**2 + 18/5*h = 0.
-3
Let r(o) = 56*o**2 - 46*o - 10. Let m(l) = 11*l**2 - 9*l - 2. Let j = -32 - -48. Let d(t) = j*m(t) - 3*r(t). Factor d(h).
2*(h - 1)*(4*h + 1)
Let s = 22 + -26. Let v(r) = 12*r**4 - 12*r**3 - 4*r**2 + 4*r. Let t(j) = -12*j**4 + 11*j**3 + 3*j**2 - 3*j. Let k(m) = s*t(m) - 3*v(m). Factor k(u).
4*u**3*(3*u - 2)
Factor -12*s**3 + 23*s**4 - 11*s**4 + 3*s**2 + 0*s**2.
3*s**2*(2*s - 1)**2
Let n = -2/17179 - -5480227/1082277. Let f = 37/7 - n. Factor 0 - f*j**4 - 2/9*j**3 + 2/9*j**2 + 2/9*j.
-2*j*(j - 1)*(j + 1)**2/9
Let b(m) = -m + 11. Let i be b(10). Let a = 1 + i. Suppose 2/7*w**3 + 2/7*w**a - 2/7*w - 2/7 = 0. What is w?
-1, 1
Suppose -2/9*h**2 - 2/9 - 4/9*h = 0. Calculate h.
-1
Let u(d) = 6*d**2 + 11*d + 8. Let g(p) = -2*p**2 - 4*p - 3. Let h be 6 - (-7)/(7/2). Let w(a) = h*g(a) + 3*u(a). Solve w(o) = 0 for o.
-1/2, 0
Let n(v) be the third derivative of -v**5/30 - v**4/8 - v**3/6 - 9*v**2. Solve n(m) = 0.
-1, -1/2
Let w(y) be the first derivative of 2*y**3/3 + 3*y**2 + 4*y - 4. Factor w(m).
2*(m + 1)*(m + 2)
Let j(q) = 26*q + 2. Let x be j(2). Suppose -4*i = 4*k - 4, 0 = 4*k + 5*i + 4 - 7. Find w, given that -24*w - 8/3 - x*w**k = 0.
-2/9
Let g(a) be the second derivative of -a**5/5 - 2*a**4/3 + 2*a**3/3 + 4*a**2 + 4*a. Factor g(z).
-4*(z - 1)*(z + 1)*(z + 2)
Let n = 5 - 1. Suppose -3*a + 4*v = -41, a + n*a + 4*v = 15. Factor 4*b + 0 + 16*b**2 - 18*b - 3 + a - 6*b**3.
-2*(b - 1)**2*(3*b - 2)
Determine c so that 12*c**2 + 0*c + 4*c**3 + 4 + 9*c + 3*c = 0.
-1
Let g(i) be the second derivative of 2*i**6/15 + i**5 + 8*i**4/3 + 8*i**3/3 + 2*i + 1. Factor g(k).
4*k*(k + 1)*(k + 2)**2
Let -4*x**3 + x + 3*x**2 + 6*x**3 - 3*x - 3*x**3 = 0. What is x?
0, 1, 2
Suppose 0 = -4*g - 3 + 15. Let q be (1/2 - 0) + (-156)/(-48). Factor 25*v**g - q*v**2 - 3/2*v + 1/4.
(4*v + 1)*(5*v - 1)**2/4
Let q(x) be the second derivative of -x**7/21 + 2*x**6/105 + 3*x. Factor q(v).
-2*v**4*(7*v - 2)/7
Let a be (4 + -1)*(-2)/(-3). Let z be (-3 - -1)*a/(-8). Factor 0*o + 1/2*o**2 - z.
(o - 1)*(o + 1)/2
Let o(r) be the second derivative of -27*r**7/5 - 54*r**6/25 + 252*r**5/25 + 24*r**4/5 - 112*r**3/15 - 32*r**2/5 - 10*r. What is h in o(h) = 0?
-2/3, -2/7, 2/3
Let m be (-2)/6 + 2/3. Suppose t + 2*w + 6 = -2*w, 0 = 5*t + 5*w. Factor -8/3*q + 0 - t*q**3 - 4*q**2 - m*q**4.
-q*(q + 2)**3/3
Let j(i) be the first derivative of 6 + 0*i**2 + 0*i - 1/9*i**4 + 2/27*i**3 + 2/45*i**5. Factor j(k).
2*k**2*(k - 1)**2/9
Let t = 12 + -5. Let g = -11 + 15. Solve b**2 + 4*b + g*b**4 - t*b**2 - 2*b**4 = 0 for b.
-2, 0, 1
Let w(x) = x + 1. Let o be w(-1). Let f = -6 - -8. Factor -1/2*h**4 + 1/2*h**f + o*h + 0 + 0*h**3.
-h**2*(h - 1)*(h + 1)/2
Factor -61*v - 2*v**2 - 2*v**2 + 56*v - 6*v**2 + 10 + 5*v**3.
5*(v - 2)*(v - 1)*(v + 1)
Let j(l) = -l + 7. Let i be j(3). Find s such that 2*s**4 + 3*s**5 - 3*s**3 + 3*s**i - 2*s**4 - 3*s**2 = 0.
-1, 0, 1
Let m(p) = -12*p**2 + 4*p + 2. Let s(f) = f - 2*f + 0*f**2 - f**2 + 0*f. Let n(u) = m(u) - 3*s(u). Factor n(l).
-(l - 1)*(9*l + 2)
Let h(v) = -5*v**4 + 10*v**3 - 4*v**2 - 14*v + 9. Let q(u) = 10*u**4 - 20*u**3 + 9*u**2 + 29*u - 19. Let f(r) = -9*h(r) - 4*q(r). Suppose f(b) = 0. Calculate b.
-1, 1
Let x = 586/9 + -65. Let l(f) be the first derivative of 1/3*f + 1 - x*f**3 - 1/6*f**4 + 1/3*f**2. Determine k, given that l(k) = 0.
-1, -1/2, 1
Determine a so that 34/5*a**3 + 0 - 38/5*a**2 + 12/5*a - 2/5*a**4 - 6/5*a**5 = 0.
-3, 0, 2/3, 1
Let l be 40/7 - (-36)/126. Let n(r) be the third derivative of 0*r**3 - 1/24*r**4 - 3/40*r**5 - 7/240*r**l + 0*r + 0 + 3*r**2. Factor n(c).
-c*(c + 1)*(7*c + 2)/2
Factor -12*o**3 - 28 + 28 + 15*o**2 - 2*o + 3*o**4 - 4*o.
3*o*(o - 2)*(o - 1)**2
Let d be 4/22*7/((-21)/(-3)). Let 0 + d*t**2 + 2/11*t = 0. Calculate t.
-1, 0
What is b in -3*b**2 - 8*b + 49 + 3*b + 4*b**2 - 9*b = 0?
7
Suppose 20 = 4*f - 0*f. Determine s so that -s**2 - 4 - 4*s + 2*s + 2 + f*s = 0.
1, 2
Let l be ((-6)/(-20))/(9/6). Let q be 2/(-5)*(8 + -9). Factor -q*c - l*c**2 - 1/5.
-(c + 1)**2/5
Let x(y) be the first derivative of 0*y**4 + 6 + 2/75*y**5 + 0*y**2 + 1/45*y**6 + 0*y**3 + 0*y. Factor x(d).
2*d**4*(d + 1)/15
Factor -1/7*y - 2/7*y**2 - 1/7*y**5 + 1/7*y**4 + 2/7*y**3 + 1/7.
-(y - 1)**3*(y + 1)**2/7
Suppose k + 0*k - 32 = 0. Let t be 4/k*1*2. Factor 0 + t*z**2 + 1/4*z.
z*(z + 1)/4
Let t = -6/43 - -153/172. Factor 0 - 3/4*c**2 + 3/2*c - t*c**3.
-3*c*(c - 1)*(c + 2)/4
Let b(p) be the second derivative of -p**6/165 + 9*p**5/110 - 7*p**4/66 - 3*p**3/11 + 8*p**2/11 + 12*p. Let b(q) = 0. Calculate q.
-1, 1, 8
Suppose 0 = -m - 3*q + 6, 5*q - 14 = -3*m. Let 8*i - m*i**2 + 3 - i**5 - 7 + 2*i**5 + i**4 - 5*i**3 + 2*i**2 = 0. What is i?
-2, 1
Let w(j) be the second derivative of -j**5/24 + j**4/36 + 5*j. Factor w(q).
-q**2*(5*q - 2)/6
Let q(l) = -4*l**3 - 11*l**2 - 3*l. Let h(d) = -4*d**3 - 12*d**2 - 4*d. Let y(b) = -3*h(b) + 4*q(b). Factor y(o).
-4*o**2*(o + 2)
Let j be 0/(1 - (-1 - -4)). Let 6*a**2 - 3*a**3 - 2 + 0*a**3 - 2*a**4 + 2*a**3 - a + j = 0. Calculate a.
-2, -1/2, 1
Let q(y) be the first derivative of -y**3/4 + 3*y**2/4 - 12. Factor q(a).
-3*a*(a - 2)/4
Factor 3/5 - 9/5*r**3 - 3*r + 21/5*r**2.
-3*(r - 1)**2*(3*r - 1)/5
Let a(l) be the third derivative of 1/105*l**5 + 0*l + 2*l**2 + 1/105*l**7 + 3/140*l**6 + 0*l**3 + 0*l**4 + 0. Factor a(j).
2*j**2*(j + 1)*(7*j + 2)/7
Suppose -5*w + 14 = -w - 2*m, -w + 4*m + 14 = 0. Solve 12*q + q**w - 12*q = 0 for q.
0
Let l be -10*1/(-12)*(-117)/(-195). Suppose 0*w - 1/2*w**2 + 0 + l*w**3 = 0. Calculate w.
0, 1
Let r be 424/840 - 1/2. Let x(g) be the third derivative of 1/210*g**6 - r*g**5 + 0 + 0*g**3 + 0*g**4 - 1/735*g**7 + 0*g + g**2. Solve x(p) = 0.
0, 1
Let g(x) be the third derivative of x**8/560 - x**7/70 + x**6/20 - x**5/10 + x**4/8 - 2*x**3/3 + 4*x**2. Let m(q) be the first derivative of g(q). Factor m(u).
3*(u - 1)**4
Let u = -28 + 30. Solve -2/5 + 6/5*t**u + 4/5*t**4 + 2/5*t - 2*t**3 = 0.
-1/2, 1
Factor 0*y**3 + 0 - 6/7*y**2 + 3/7*y**5 + 6/7*y**4 - 3/7*y.
3*y*(y - 1)*(y + 1)**3/7
Let f(a) = -3*a**2 - 22*a - 4. Let h be f(-7). Solve -2/3*b**h - 1/3 + 1/3*b + 1/3*b**5 + 2/3*b**2 - 1/3*b**4 = 0.
-1, 1
Let g be ((-4)/(-10))/(7675/125). Let s = 632/2763 - g. Suppose -s*y**2 - 2/9*y + 0 = 0. What is y?
-1, 0
Let p(j) be the second derivative of 0 - 1/78*j**4 - 2/39*j**3 - 1/13*j**2 - 2*j. Factor p(g).
-2*(g + 1)**2/13
Let h = -148 - -743/5. Let o(z) be the second derivative of -h*z**6 + 1/3*z**4 - z**2 + 0 - 4/3*z**3 - z + 6/5*z**5. Factor o(c).
-2*(c - 1)**2*(3*c + 1)**2
Let y be 22/(1 - -3 - 2). Let l = 13 - y. Suppose 1/4*x**4 - 1/4*x**3 + 1/4*x + 0 - 1/4*x**l = 0. What is x?
-1, 0, 1
Let l = 22 + -22. Let n(h) be the second derivative of h + 0*h**3 + 0*h**2 + 0 - 1/54*h**4 + 1/135*h**6 + l*h**5. Factor n(o).
2*o**2*(o - 1)*(o + 1)/9
Let -2 - u**5 + u**3 - 2*u**4 + 2*u + 4*u**2 - 6*u**5 + 9*u**5 - 5*u**3 = 0. What is u?
-1, 1
Let y = 12 - 10. Factor -s**3 + s**y - 3*s**2 + 0*s - s.
-s*(s + 1)**2
Let g(m) be the third derivative of -m**6/60 - 2*m**5/15 - m**4/3 + 4*m**2. Let g(f) = 0. What is f?
-2, 0
Let -3*y**4 + 4*y**3 - 14*y + 14*y - y**4 = 0. What is y?
0, 1
Suppose -2/5*r**5 - 10*r**3 + 16/5 + 76/5*r**2 + 16/5*r**4 - 56/5*r = 0. Calculate r.
1, 2
Let b(r) be the third derivative of r**6/180 + r**5/45 + r**4/36 - r**2. Suppose b(g) = 0. Calculate g.
-1, 0
Let x(m) be the second derivative of m**5/5 + m**4 - 8*m**2 - 11*m. Find k, given that x(k) = 0.
-2, 1
Let v(m) be the second derivative of m**4/30 + 4*m**3/1