 = 3*z**4 + 9*z**3 + 3*z**2. Let w(c) = c**3 + c**2. Let o(b) = p(b) - 3*w(b). Find y, given that o(y) = 0.
-2, 0
Let z = 185 + -182. Let n(y) be the first derivative of 1 + 5/4*y**4 - y**2 - y**z + 0*y. Factor n(f).
f*(f - 1)*(5*f + 2)
What is n in 0 + 0*n**2 - 4/7*n**5 - 22/7*n**3 + 8/7*n + 18/7*n**4 = 0?
-1/2, 0, 1, 2
Let b = 18 + -14. Factor 3*s**4 - 3*s**b - 30*s**3 + 33*s**3 + 3*s**4.
3*s**3*(s + 1)
Let t(m) be the third derivative of -m**7/210 + m**6/120 - 9*m**2. Solve t(o) = 0.
0, 1
Let y = -2/47 + 100/141. Let -2/3*b**2 + 4/3*b - y = 0. What is b?
1
Let j = -68 + 73. Let y(g) be the second derivative of -3/80*g**j - 1/16*g**4 + 0 - g + 1/8*g**3 + 3/8*g**2. Find q such that y(q) = 0.
-1, 1
Determine f, given that 5*f**2 - 3*f + 5 + 10 - 17*f = 0.
1, 3
Let f(c) be the third derivative of -c**5/60 + c**4/24 - 10*c**2. Let f(t) = 0. What is t?
0, 1
Suppose 5*z - 9*t = -4*t - 10, 2*z - 26 = -4*t. Let s(y) be the first derivative of -7/8*y**4 + 1 + 0*y - 1/2*y**2 + 3/2*y**z. Factor s(k).
-k*(k - 1)*(7*k - 2)/2
Let w(k) be the second derivative of k**8/3360 + k**7/1680 - k**6/720 - k**5/240 - k**3/3 - k. Let y(n) be the second derivative of w(n). Factor y(o).
o*(o - 1)*(o + 1)**2/2
Find c such that -3*c**2 - 5*c - 4*c + 6 - 15*c - 54 = 0.
-4
Suppose -12 = -4*w - 4. Suppose -w*i + 3 + 1 = 0. Solve 0*r + 0 + 0*r**3 + 2/11*r**i - 2/11*r**4 = 0 for r.
-1, 0, 1
Let j(l) = -l**3 + 8*l**2 - 8*l + 8. Let z be j(7). Let h be 3 + z + 60/(-18). Factor -h*b**2 + 4/3 - 2/3*b.
-2*(b - 1)*(b + 2)/3
Let y(u) be the second derivative of 0 - 1/10*u**6 + 1/2*u**2 - 4*u - 1/42*u**7 + 1/6*u**4 + 1/2*u**3 - 1/10*u**5. Solve y(b) = 0 for b.
-1, 1
Solve 0 + z**2 + 3 + 2*z - 2 = 0 for z.
-1
Let g(n) = 20*n**2 + 8*n - 8. Let v(p) = -p**2. Let i(h) = -2*g(h) - 44*v(h). Find q such that i(q) = 0.
2
Let q be 22/(-7) + (-8)/(-56) - -8. Let s(i) be the third derivative of 0*i**4 + 0 + 0*i + 1/6*i**3 - 1/60*i**q - 2*i**2. Find b, given that s(b) = 0.
-1, 1
Let w be ((-24)/(-100))/(4/(40/3)). Solve 2/5*v**2 - w*v + 2/5 = 0 for v.
1
Let t(r) be the first derivative of 0*r**3 - 2/9*r**2 + 1/9*r**4 + 2/9*r - 2/45*r**5 - 6. Factor t(v).
-2*(v - 1)**3*(v + 1)/9
Suppose -u = 2 + 1. Let l be 4/(30/u*-1). Solve -2/5*k + 0 - l*k**2 = 0 for k.
-1, 0
Let y = 17 - 15. Let -3 - 10*r**2 + 2*r**y + 1 + 10*r = 0. What is r?
1/4, 1
Let r(x) be the first derivative of x**7/945 - x**5/90 + x**4/54 + 2*x**2 + 1. Let w(t) be the second derivative of r(t). Determine z, given that w(z) = 0.
-2, 0, 1
Let x(a) be the first derivative of -a**5/70 + a**4/42 + a**3/21 - a**2/7 - 6*a - 5. Let n(l) be the first derivative of x(l). Factor n(y).
-2*(y - 1)**2*(y + 1)/7
Let o(p) be the second derivative of 5*p**4/3 - 14*p**3/3 + 4*p**2 - 17*p. Let o(b) = 0. Calculate b.
2/5, 1
Let b be 432/21*6/(-20). Let l = -28/5 - b. Solve l*v - 6/7*v**2 + 2/7 = 0.
-1/3, 1
Let s(u) be the first derivative of u**5/30 + u**4/4 + 2*u**3/3 - 3*u**2/2 + 1. Let j(c) be the second derivative of s(c). Factor j(v).
2*(v + 1)*(v + 2)
Let t(m) = -m - 11. Let k be t(-11). Let y(j) be the second derivative of 0*j**2 + 1/10*j**6 - 1/6*j**3 + k - j + 1/12*j**4 + 1/4*j**5. Factor y(a).
a*(a + 1)**2*(3*a - 1)
Let c(n) be the third derivative of -n**6/60 - n**5/10 - n**4/6 - n**2. Factor c(l).
-2*l*(l + 1)*(l + 2)
Solve -64/5*y**3 - 8192/5 - 4096/5*y - 2/5*y**4 - 768/5*y**2 = 0.
-8
Factor 0*v - 1/2*v**3 + 3/2*v**2 + 0.
-v**2*(v - 3)/2
Let m(l) be the third derivative of -l**7/210 + 7*l**6/60 - 11*l**5/20 - 14*l**4/3 - 32*l**3/3 + 5*l**2. Let m(x) = 0. Calculate x.
-1, 8
Let o be 1/48*12/30. Let b(h) be the second derivative of 0*h**5 - 1/168*h**7 - o*h**6 + 0*h**2 - h + 0*h**3 + 0 + 0*h**4. What is x in b(x) = 0?
-1, 0
Factor -18 + 24 + 0*f - 3*f - 3*f**2.
-3*(f - 1)*(f + 2)
Let p(r) be the second derivative of r**6/75 + 3*r**5/50 - 4*r**3/15 - 7*r. Factor p(j).
2*j*(j - 1)*(j + 2)**2/5
Let a = 2140139 - 1498096907/700. Let t = a + 1/100. Factor -2/7*z - t*z**2 + 0 + 2/7*z**5 + 4/7*z**4 + 0*z**3.
2*z*(z - 1)*(z + 1)**3/7
Let v(o) = o - 3. Let f be v(7). Let n be (-46)/(-14) - 12/f. Factor n*b + 2/7*b**2 - 4/7.
2*(b - 1)*(b + 2)/7
Let s(d) be the first derivative of d**8/420 + 2*d**7/525 - d**6/150 - d**5/75 + 3*d**2/2 - 3. Let t(a) be the second derivative of s(a). Factor t(c).
4*c**2*(c - 1)*(c + 1)**2/5
Factor -32/15*r - 2/15*r**2 - 128/15.
-2*(r + 8)**2/15
Suppose r - 3*r + 8 = 0. Factor -9/4*n - 5/4*n**2 - 1/2 + 7/4*n**r + 9/4*n**3.
(n - 1)*(n + 1)**2*(7*n + 2)/4
Suppose 0 = 2*n + 3*n - 40. Determine h so that 5 + 0 - 3 + 2*h**2 + 6 - n*h = 0.
2
Suppose 4*o - 3*o - 9 = 0. Let z be 6/o*18/4. Factor 1/4*s + 0*s**2 - 1/4*s**z + 0.
-s*(s - 1)*(s + 1)/4
Let u(i) be the second derivative of 1/2*i**2 + 1/24*i**4 + 0 + 3*i + 1/4*i**3. Factor u(a).
(a + 1)*(a + 2)/2
Suppose h + 1 + 3 = 5*k, -3*h + 4 = k. Let m(v) be the first derivative of 1/10*v**5 + k - 1/4*v**2 - 1/6*v**3 + 1/8*v**4 + 0*v. Suppose m(x) = 0. Calculate x.
-1, 0, 1
Let i = -28 + -27. Let c = i - -609/11. Determine b so that -8/11*b**3 + 0 - 10/11*b**2 - c*b - 2/11*b**4 = 0.
-2, -1, 0
Suppose 0 = 17*u - 13*u - 16. Factor -9*x**2 - 2/3 - 7/3*x**u + 23/3*x**3 + 13/3*x.
-(x - 1)**3*(7*x - 2)/3
Let w(k) be the second derivative of k**5/130 - 7*k**4/78 + 11*k**3/39 - 5*k**2/13 - 15*k. Factor w(a).
2*(a - 5)*(a - 1)**2/13
Let w(g) = -114*g**2 - 5*g - 43*g + 12 + g - 19*g**2. Let j(c) = -22*c**2 - 8*c + 2. Let i(v) = 34*j(v) - 6*w(v). What is h in i(h) = 0?
-2/5, 1/5
Let j(d) = d**3 + 3*d**2 - d + 1. Let v = -60 - -58. Let l = 0 - 3. Let t(u) = -2*u**3 - 3*u**2 - 1. Let h(w) = l*j(w) + v*t(w). Determine i so that h(i) = 0.
1
Let c = -3 + 7. Find q, given that 6*q**3 - c*q**4 - 3*q**2 - 2*q**2 + 3*q**2 = 0.
0, 1/2, 1
Let k(h) be the second derivative of -h**6/90 + h**5/15 - 5*h**4/36 + h**3/9 - 5*h. Factor k(i).
-i*(i - 2)*(i - 1)**2/3
Let i(t) be the third derivative of -t**8/336 - t**7/210 + t**6/60 + t**5/30 - t**4/24 - t**3/6 - 55*t**2. Find y such that i(y) = 0.
-1, 1
Let w(d) = -6*d - 1. Let p be w(-1). Factor -p*c**3 - c + 2*c + 4*c**3.
-c*(c - 1)*(c + 1)
Factor -7/3*n + 1/3 - 5/3*n**3 + 11/3*n**2.
-(n - 1)**2*(5*n - 1)/3
Let -4*a**3 + 2*a**4 - 2*a**2 + 2*a**4 + 0*a**2 - 2*a**2 + 4*a = 0. Calculate a.
-1, 0, 1
Let l(g) be the first derivative of g**5/5 + 25*g**3/3 - 9*g**2/2 + g + 2. Let p(u) = -6*u**2 + 2*u. Let d(s) = -2*l(s) - 9*p(s). Factor d(n).
-2*(n - 1)**2*(n + 1)**2
Suppose 3*t - 4*t + 17 = 0. Factor -3*q + t*q + 4*q - 4*q**2 - 16 - 2*q.
-4*(q - 2)**2
Let b(a) be the first derivative of 1 + 0*a**2 - 1/2*a**4 + 0*a - 2/3*a**3. Factor b(t).
-2*t**2*(t + 1)
Suppose 7 = w - 2*f, 2*w + 4 = -6*f + f. Factor 3*c**3 - 13*c**2 - 4*c**3 + 3*c + 12*c**4 + c**2 - 2*c**w.
3*c*(c - 1)*(c + 1)*(4*c - 1)
Suppose 2 = -7*d + 2. Let k = 191/28 - 25/4. Suppose 0 + d*p**2 + 0*p**3 - 2/7*p**4 - k*p**5 + 0*p = 0. Calculate p.
-1/2, 0
Determine v so that -50/11 - 2/11*v**2 - 20/11*v = 0.
-5
Let k(y) be the third derivative of y**8/56 + 13*y**7/70 + 3*y**6/5 + 9*y**5/20 + 3*y**2. Factor k(i).
3*i**2*(i + 3)**2*(2*i + 1)
Let u(w) be the second derivative of -w**7/63 - w**6/15 - w**5/30 + w**4/6 + 2*w**3/9 - 4*w. Determine h so that u(h) = 0.
-2, -1, 0, 1
Factor 3/2*o - 3/2 + 3/2*o**2 - 3/2*o**3.
-3*(o - 1)**2*(o + 1)/2
Suppose 2*w + 0 = 4. Factor -j**2 + 0*j**2 + 0*j**w - 1 - 2*j.
-(j + 1)**2
Factor 10*g**3 - 2*g**5 - 4*g**4 + 3*g + 2*g**2 - 4*g + 8 + 2*g**4 - 15*g.
-2*(g - 1)**3*(g + 2)**2
Let r = -701 - -705. Let 0 - 1/5*y**3 + 1/5*y**2 + 0*y - 1/5*y**r + 1/5*y**5 = 0. What is y?
-1, 0, 1
Let n(u) be the third derivative of -u**6/280 + u**4/14 - 39*u**2. Factor n(z).
-3*z*(z - 2)*(z + 2)/7
Factor 0 - 2*d**2 + 4/7*d.
-2*d*(7*d - 2)/7
Let i = 15 - 14. Let m be 6*(-4)/(-16) + i. Let -2 - 4*r - m*r**2 - 1/2*r**3 = 0. Calculate r.
-2, -1
Suppose 2*y + 3*y + 24 = 4*c, y = 0. Suppose -5*l = -4*o + 5, c*l - l - o = 10. Determine v so that -3*v + 3*v + v**3 - l*v**2 + 2*v**2 = 0.
0, 1
Let v(q) be the third derivative of -q**2 + 0*q**3 - 1/1260*q**7 + 0*q + 0 + 1/360*q**5 - 1/720*q**6 + 1/144*q**4. Find y, given that v(y) = 0.
-1, 0, 1
What is v in -6*v**3 + 62 - 62 - 3*v**4 = 0?
-2, 0
Let q = -9 + 16. Suppose q = 5*w - 3. Find n, given that -4*n**w - n**3 - 2*n**3 - 3*n - 2*n**2 = 0.
-1, 0
Suppo