erivative of v**7/273 - v**6/195 - v**5/130 + v**4/78 - 4*v. Let l(z) = 0. What is z?
-1, 0, 1
Let y(d) be the third derivative of 1/150*d**5 + 0*d**3 - 1/1680*d**8 + 8*d**2 + 0 + 0*d**6 - 1/525*d**7 + 1/120*d**4 + 0*d. Determine l, given that y(l) = 0.
-1, 0, 1
Factor 14/5*g - 2*g**2 - 4/5.
-2*(g - 1)*(5*g - 2)/5
Let u(t) be the third derivative of 0*t**3 + 0*t**4 + 0 + 1/40*t**6 + 0*t**5 - 2*t**2 - 1/70*t**7 + 0*t. Solve u(l) = 0.
0, 1
Let c = 615 + -5528/9. Let j(m) be the first derivative of 1 - 1/9*m**2 - 2/9*m + c*m**4 + 4/9*m**3 + 22/45*m**5 + 1/9*m**6. Factor j(o).
2*(o + 1)**4*(3*o - 1)/9
Solve 3 + r**4 - 3*r**3 + 0*r**3 - 3 + 3*r**2 - r = 0.
0, 1
Let l be 1042/564 - 1/3. Let s = -2/141 + l. Factor s*y**2 + 0 - 3*y.
3*y*(y - 2)/2
Let t(g) be the second derivative of g**6/135 - g**5/90 - 8*g. Determine m, given that t(m) = 0.
0, 1
Let f(g) be the third derivative of g**8/448 - g**7/70 + g**6/40 - g**2. Determine q so that f(q) = 0.
0, 2
Let a(c) = c**3 - 4*c**2 - 4*c - 5. Let m be a(5). Let h = -3 - -6. Find y, given that 53*y + 1 + 7 + 46*y**2 + 14*y**h - 13*y + m*y**3 = 0.
-2, -1, -2/7
Let t(f) be the third derivative of -f**5/330 - 5*f**4/132 + 26*f**2. Factor t(q).
-2*q*(q + 5)/11
Factor 0*x - 2/9*x**4 + 0*x**3 + 2/9*x**5 + 0 + 0*x**2.
2*x**4*(x - 1)/9
Let l(k) be the first derivative of k**8/504 - k**7/210 + k**5/180 + k**2/2 - 3. Let v(i) be the second derivative of l(i). Let v(u) = 0. What is u?
-1/2, 0, 1
Let g(z) be the first derivative of z**6/120 + z**5/60 - z**2/2 + 2. Let v(h) be the second derivative of g(h). Suppose v(s) = 0. What is s?
-1, 0
Factor -3*y**2 + 9*y**3 - 7*y**4 - 21*y**3 + 4*y - 2*y.
-y*(y + 1)**2*(7*y - 2)
Let p(c) be the first derivative of -2*c**7/315 - c**6/45 - c**5/30 - c**4/36 - 2*c**3/3 - 3. Let g(l) be the third derivative of p(l). What is a in g(a) = 0?
-1/2
Let z(b) be the second derivative of 3*b**5/20 - 13*b**4/4 + 35*b**3/2 + 147*b**2/2 + 20*b. Suppose z(l) = 0. Calculate l.
-1, 7
Let f be 2/13 + 306/39. Suppose -9*u + 2 = -f*u. What is i in -4/5*i**u + 2/5*i**3 + 0 + 2/5*i = 0?
0, 1
Determine d so that -5/3*d**3 + 2/3*d + 0 + 1/3*d**4 - 1/3*d**2 + d**5 = 0.
-1, 0, 2/3, 1
What is v in -13*v**4 + 34*v**5 + 5*v**5 + 5*v**5 + 5*v**4 = 0?
0, 2/11
Let p = 3 - 4. Let c = p - -4. Factor -a**2 + 2*a - 4*a - c + 2.
-(a + 1)**2
Let a(l) be the third derivative of 3/98*l**7 + 0*l - 3/28*l**5 - 1/56*l**6 + 0*l**4 + 2/7*l**3 + 9/784*l**8 - 6*l**2 + 0. Factor a(u).
3*(u + 1)**3*(3*u - 2)**2/7
Let b(i) be the second derivative of -1/4*i**4 + 0*i**2 + 4*i + 0*i**3 + 0 - 3/20*i**5. Factor b(m).
-3*m**2*(m + 1)
Let y(c) be the second derivative of -1/12*c**4 + 0*c**3 + 0 + 0*c**2 - 3*c - 1/20*c**5. Find d, given that y(d) = 0.
-1, 0
Suppose 13*g - 15 - 50 = 0. Let u(y) be the first derivative of 1/2*y**3 + 0*y - 1/8*y**2 + 3 + 1/3*y**6 - 3/10*y**g - 7/16*y**4. Solve u(z) = 0.
-1, 0, 1/4, 1/2, 1
Suppose -29*w**3 - 24*w**3 + 16*w - 13*w**3 - 14*w**4 + 8*w**2 - 44*w**2 = 0. What is w?
-4, -1, 0, 2/7
Suppose -3*x + 21 + 0 = 0. Let g(f) = 2*f - 1. Let p be g(4). Determine k, given that -p*k + 2*k**2 + x*k = 0.
0
Let b = 26 - 24. Determine r so that -2/5*r**3 - 2/5*r**b + 2/5*r + 2/5*r**4 + 0 = 0.
-1, 0, 1
Let m(x) = 5*x**2 + 6*x. Let u be 5/(-2) - 2/4. Let d be (-2 - -1) + (-21)/u. Let r(s) = -4*s**2 - 5*s. Let p(f) = d*r(f) + 5*m(f). Suppose p(b) = 0. What is b?
0
Let m(p) be the second derivative of -49*p**5/80 - 91*p**4/48 - 17*p**3/8 - 9*p**2/8 + 10*p. Factor m(k).
-(k + 1)*(7*k + 3)**2/4
Let d(v) be the second derivative of v**8/5040 - v**7/3780 - 5*v**4/12 + 4*v. Let o(h) be the third derivative of d(h). Determine n, given that o(n) = 0.
0, 1/2
Let w(b) be the second derivative of -b**7/2940 + b**3/6 - 3*b. Let t(u) be the second derivative of w(u). Factor t(z).
-2*z**3/7
Factor 7*i - 14 + i**2 + 3*i - 16*i + i.
(i - 7)*(i + 2)
Let q(s) = -s**3 + 9*s**2 - 7*s - 2. Let n be q(8). Solve 3*c**5 + 11*c + n*c**2 - 9*c**3 - 11*c = 0.
-2, 0, 1
Let c = 14866 - 102919/7. Let a = c - 163. Factor -4/7*m + 2/7*m**4 + 4/7*m**3 - a + 0*m**2.
2*(m - 1)*(m + 1)**3/7
Let q(g) be the second derivative of -1/40*g**5 - 3*g + 0 - g**3 - 1/4*g**4 - 2*g**2. Solve q(d) = 0 for d.
-2
Let r(g) be the second derivative of -2/3*g**3 - 1/6*g**4 - g**2 - 2*g + 0. Determine u, given that r(u) = 0.
-1
Let d(b) be the second derivative of -b**5/26 + b**4/26 + 2*b**3/39 - 8*b. Find l such that d(l) = 0.
-2/5, 0, 1
Let l = -8/11 + 190/231. Let d(u) be the first derivative of 1/14*u**4 - 1/7*u**2 - 2/35*u**5 + l*u**3 - 3 + 0*u. Factor d(n).
-2*n*(n - 1)**2*(n + 1)/7
Let c = -46 + 46. Let i(n) be the third derivative of 1/28*n**4 - 1/105*n**5 + 2/21*n**3 - 2*n**2 + 0*n + c. Factor i(p).
-2*(p - 2)*(2*p + 1)/7
Let o = 41 - 34. Let n be 4 - -13*(-2)/o. Factor 4/7 - n*g**2 - 2/7*g.
-2*(g - 1)*(g + 2)/7
Let k be 1*(-9)/2*-2. Let r = k + -7. Factor -r*a**2 - 4*a + 3*a + a**2 - 1 - a.
-(a + 1)**2
Let l(t) be the second derivative of t**8/1008 + t**7/210 - t**5/45 + 5*t**2 - 5*t. Let s(p) be the first derivative of l(p). Solve s(w) = 0 for w.
-2, 0, 1
Let v(c) be the second derivative of -c**6/120 - c**5/40 + 6*c. Factor v(x).
-x**3*(x + 2)/4
Let v(t) be the second derivative of -t**10/105840 + t**9/17640 - t**8/7840 + t**7/8820 - 2*t**4/3 - 6*t. Let m(h) be the third derivative of v(h). Factor m(r).
-2*r**2*(r - 1)**3/7
Factor -10 - 5*k**4 + 10*k - 8*k**3 + 15 - 2*k**3.
-5*(k - 1)*(k + 1)**3
Suppose 0*v + 60 = 4*v. Factor -20*c**3 - 4 - 4*c**5 - 3 + 10*c**2 - 1 + v*c**4 + 7.
-(c - 1)**4*(4*c + 1)
Let o(m) be the second derivative of 4*m - m**3 - 1/20*m**5 + m**2 + 0 - 3/8*m**4. Let g(j) be the first derivative of o(j). Determine q, given that g(q) = 0.
-2, -1
Let t(c) be the first derivative of -5*c**3/7 + 3*c**2/2 - 6*c/7 + 6. Factor t(z).
-3*(z - 1)*(5*z - 2)/7
Let y(a) be the first derivative of a - 1/4*a**2 - 1/4*a**3 + 5/32*a**4 - 1/40*a**5 - 6. Factor y(x).
-(x - 2)**3*(x + 1)/8
Let c(g) = 6*g**2 - 18*g - 20. Let v(k) = 7*k**2 - 19*k - 21. Let x(q) = 5*c(q) - 4*v(q). Solve x(i) = 0 for i.
-1, 8
Suppose -1/4 + 1/4*c**2 + 0*c = 0. What is c?
-1, 1
Factor -1/2*x**2 - 1/2*x**3 + 0 + x.
-x*(x - 1)*(x + 2)/2
Let v(d) be the second derivative of -d**4/48 + d**3/12 - 6*d. Factor v(q).
-q*(q - 2)/4
Factor 8/3*b + 10*b**3 - 25/3*b**4 + 0 + 12*b**2.
-b*(b - 2)*(5*b + 2)**2/3
Let i(g) be the third derivative of -g**7/210 + 3*g**6/40 - 9*g**5/20 + 9*g**4/8 + 6*g**2. Factor i(o).
-o*(o - 3)**3
Let u(f) = 4*f**2 - 64*f + 261. Let a(t) = 4*t**2 - 64*t + 260. Let z(p) = -5*a(p) + 4*u(p). Suppose z(h) = 0. Calculate h.
8
Let k(m) be the third derivative of m**5/75 - 8*m**3/15 - 29*m**2. Factor k(f).
4*(f - 2)*(f + 2)/5
Let r(v) = 7*v**4 + 5*v**3 + 7*v**2 - 13*v - 10. Let s(q) = -6*q**4 - 6*q**3 - 6*q**2 + 12*q + 9. Let p(z) = 3*r(z) + 4*s(z). Factor p(b).
-3*(b - 1)*(b + 1)**2*(b + 2)
Let j(l) be the second derivative of 5*l**4/12 - 20*l**3/3 + 35*l**2/2 - 28*l + 2. Factor j(u).
5*(u - 7)*(u - 1)
Let y(w) be the first derivative of -3*w**5/10 - w**4/4 + 5*w**3/6 + 34. Factor y(r).
-r**2*(r - 1)*(3*r + 5)/2
Let k = 14 + -11. Find n, given that 0*n**2 - k - n**2 - n**2 + 1 - 4*n = 0.
-1
Let w be 2/(-3)*(-45)/10. Solve 4 + 2 - 5 - 2*r - w*r**2 = 0.
-1, 1/3
Let v(s) = s**3 - 12*s**2 + 10*s + 11. Suppose -b = -4 - 7. Let t be v(b). Factor t - 4/3*x - 2/3*x**2.
-2*x*(x + 2)/3
Let o(t) be the third derivative of t**8/2352 - t**7/1470 - t**6/280 + t**5/84 - t**4/84 - 13*t**2. Suppose o(d) = 0. Calculate d.
-2, 0, 1
Let o(g) be the first derivative of g**5/100 + g**4/120 + g**2/2 - 5. Let f(b) be the second derivative of o(b). Factor f(r).
r*(3*r + 1)/5
Factor 9*f**2 + 18*f**4 - 2*f**4 + f - 24*f**3 - 2*f.
f*(f - 1)*(4*f - 1)**2
Let u(z) be the first derivative of -2/3*z + 5/3*z**4 + 2*z**2 - 2 - 2/5*z**5 - 8/3*z**3. Factor u(p).
-2*(p - 1)**3*(3*p - 1)/3
Let c be 62/36 + 40/(-180). Factor -3/2*l**2 - c*l - 1/2 - 1/2*l**3.
-(l + 1)**3/2
Let l(q) = 16*q + 67. Let z be l(-4). Let u(a) be the third derivative of 0 + 1/90*a**5 - 4*a**2 + 0*a + 0*a**4 - 1/9*a**z. Factor u(h).
2*(h - 1)*(h + 1)/3
Let j(b) = 3*b**2 + b + 6. Let l be j(4). Let s = l - 113/2. Factor 6*i**2 + s + 9/4*i**3 + 21/4*i.
3*(i + 1)**2*(3*i + 2)/4
Let z(d) be the second derivative of d**6/60 + 3*d**5/4