+ 1/5*y**z - 7/5*y**3 - 1/5*y**4 + 7/5*y = 0. What is y?
-7, -1, 0, 1
Let x(k) be the second derivative of 1/3*k**4 - 2*k - 4/3*k**3 + 0 + 2*k**2. Factor x(f).
4*(f - 1)**2
Let g be (12/10)/(-3 - (-615)/200). Factor -4*a**2 - 1 - 20*a + g*a + 4*a**4 + 4*a**3 + 1.
4*a*(a - 1)*(a + 1)**2
Let c(o) = -94*o**2 + 9*o. Let m(h) = -h**2 + h. Let b be (4 + -9)/30 - 15/18. Let j(y) = b*m(y) - c(y). Factor j(q).
5*q*(19*q - 2)
Let m(c) = -c**2 - 10*c - 6. Suppose -l - 40 = -31. Let g be m(l). Factor 0 - 6/7*i - g*i**2 + 27/7*i**3.
3*i*(i - 1)*(9*i + 2)/7
Suppose 14 = -f + 17. Let v(s) be the second derivative of 1/12*s**3 - f*s + 0 + 1/96*s**4 + 1/4*s**2. Factor v(i).
(i + 2)**2/8
Suppose 0 = -43*i + 51*i. Let x(r) be the second derivative of 5/4*r**4 + 0 + r**3 + 1/10*r**6 - 4*r + 3/5*r**5 + i*r**2. Factor x(h).
3*h*(h + 1)**2*(h + 2)
Let t(j) = j**2 + 6*j + 2. Let k be t(-6). Suppose -5*f + 13 = -c, -3*f - 6*c = -7*c - 9. Let -9*i - 6*i**2 - k + 3*i - f*i**3 + 0*i**2 = 0. What is i?
-1
Let i = 52 + -19. Let h = i - 31. Factor o**3 + o**2 - 124*o**4 - h*o**2 + 125*o**4 - o.
o*(o - 1)*(o + 1)**2
Let i(j) = -j**3 + 8*j**2 + 73*j - 575. Let p be i(8). Let l(y) be the second derivative of 0 - 1/4*y**4 - 3*y**2 + p*y + 3/2*y**3. Find t such that l(t) = 0.
1, 2
Let l = 128 + -126. Let p(k) be the second derivative of -3/100*k**5 - 3/5*k**l + 0 + 4*k + 1/10*k**3 + 1/10*k**4. Factor p(i).
-3*(i - 2)*(i - 1)*(i + 1)/5
Let l(g) be the second derivative of -5*g**4/12 - 15*g**3/2 - 35*g**2 - 248*g. Solve l(h) = 0.
-7, -2
Let a(j) be the first derivative of -1/48*j**4 + 9 + 0*j**2 - 1/24*j**3 - 8*j. Let c(o) be the first derivative of a(o). Find n, given that c(n) = 0.
-1, 0
Let l(m) be the first derivative of 4*m**5/75 - 7*m**4/6 + 34*m**3/45 - 625. Determine p, given that l(p) = 0.
0, 1/2, 17
Let h = -1726/5 - -346. Factor -8/5*d**2 + h*d**3 - 4/5*d + 8/5.
4*(d - 2)*(d - 1)*(d + 1)/5
Let x(c) = 4*c + 122. Let b be x(-29). Let q(o) be the first derivative of -o**4 + 0*o**2 + 0*o**5 + 0*o - 7 + 0*o**3 + 2/3*o**b. Find r, given that q(r) = 0.
-1, 0, 1
Determine f, given that -4/9*f**3 + 8/3*f + 0 - 22/9*f**2 + 2/9*f**4 = 0.
-3, 0, 1, 4
Suppose 29*q**2 + 64*q - 118*q**2 - 14*q**4 - 5*q**3 - 31*q**3 + 108*q**2 + 77*q**2 = 0. Calculate q.
-4, -4/7, 0, 2
Suppose 2*k - 3 = -4*t - 17, 0 = t + 5. Let i be 4/(-2 + (k - -1)). Suppose m - m**2 + m**i + 2*m**2 - 2*m**3 + 3*m**3 = 0. What is m?
-1, 0
Let z be (3/(-6) + -4)*-4. Suppose -24*u - z = -30*u. Factor 23/3*p**u + 0 + 20/3*p**2 + 7/3*p**4 + 4/3*p.
p*(p + 1)*(p + 2)*(7*p + 2)/3
Suppose -2*g + 5*t = -3*g - 16, -5*g = 2*t - 12. Suppose -j**3 + 11 - j - 4*j**2 - 9 - g - 4*j = 0. Calculate j.
-2, -1
Let o(p) be the second derivative of 7/6*p**6 + 0*p**2 + 20/3*p**3 + 15/2*p**5 + 32*p + 15*p**4 + 0. Factor o(l).
5*l*(l + 2)**2*(7*l + 2)
Let q be 3/(-9)*-1*120/1600. Let i(m) be the third derivative of 2*m**2 - 1/4*m**4 - q*m**6 + 0 + 0*m + 3/20*m**5 + 0*m**3. Factor i(x).
-3*x*(x - 2)*(x - 1)
Let h(w) be the third derivative of -7/60*w**6 + 0 + 0*w + 1/105*w**7 - 12*w**2 + 3/5*w**5 + 8/3*w**3 - 5/3*w**4. Factor h(d).
2*(d - 2)**3*(d - 1)
Let q = -55 - -58. Let o(f) be the third derivative of 0*f**4 + 1/15*f**6 + 0*f**5 - 1/84*f**8 + 0*f - 6*f**2 + 0 + 2/105*f**7 + 0*f**q. Factor o(n).
-4*n**3*(n - 2)*(n + 1)
Let f(k) = -33*k**2 - 31*k - 8. Suppose -5*c - 36 - 14 = 0. Let m(a) = -16*a**2 - 16*a - 4. Let t(r) = c*m(r) + 4*f(r). Let t(i) = 0. What is i?
-1, -2/7
Suppose -2 = -3*g + 7. Let t(h) = -3*h**5 + 3. Let d(v) = -3*v**5 + v**3 + 2. Let c(p) = g*d(p) - 2*t(p). Factor c(j).
-3*j**3*(j - 1)*(j + 1)
Let t(a) be the second derivative of a**6/15 - 18*a**5/5 + 122*a**4/3 + 480*a**3 + 1600*a**2 + 2*a - 5. Find i, given that t(i) = 0.
-2, 20
Let u(j) be the second derivative of -j**9/83160 + j**7/6930 - j**5/660 - 5*j**4/6 + 3*j. Let o(y) be the third derivative of u(y). Let o(h) = 0. What is h?
-1, 1
Let g(q) = -20*q - 37*q**3 + 12*q**3 - 13*q**2 + 27 + 24*q**3. Let o be g(-11). Find p, given that 0*p - 8/13*p**4 + 2/13*p**o - 4/13*p**2 + 0 + 10/13*p**3 = 0.
0, 1, 2
Let k(h) be the second derivative of -h**7/2100 + h**5/600 + h**2 + h. Let i(q) be the first derivative of k(q). Solve i(o) = 0.
-1, 0, 1
Let f be 82 - ((-5 - -9) + -6). Let o = f + -82. Suppose 0*v**o - 2/9*v**3 + 0*v + 0 = 0. Calculate v.
0
Suppose 5*l = -u + 7, -u - 3*l + 2*l = -3. What is g in -80*g + 27*g**3 + 586*g**4 + 48*g**3 - 551*g**4 + 5*g**5 - 60 + 25*g**u = 0?
-3, -2, -1, 1
Let t(d) = -d**2 - 2*d + 2. Let y be t(1). Let q be 20/(-5) - (-7 + y). Solve k**2 + 2 - 4*k**2 - q*k + 5*k**2 = 0 for k.
1
Let q(p) be the first derivative of 0*p + 2/3*p**3 - 3 - p**2. Find s, given that q(s) = 0.
0, 1
Let v(q) be the third derivative of q**8/84 + 4*q**7/15 + 61*q**6/30 + 28*q**5/5 + 6*q**4 - 91*q**2. Factor v(o).
4*o*(o + 1)**2*(o + 6)**2
Let j(a) be the second derivative of -a**7/378 + 7*a**6/270 - 7*a**5/90 + a**4/54 + 5*a**3/18 - a**2/2 - 339*a. Suppose j(m) = 0. Calculate m.
-1, 1, 3
Let i(m) be the first derivative of 15/2*m + 13 + 5/12*m**3 - 25/8*m**2. Find p, given that i(p) = 0.
2, 3
Let q(v) be the first derivative of 5*v**3/3 - 5*v**2 - 154. What is k in q(k) = 0?
0, 2
Suppose -4*k**5 + 328*k**3 - 187*k - 164 + 138*k**4 + 8*k**2 - 75*k + 18*k**4 - 62*k = 0. What is k?
-1, 1, 41
Let l be -7 + 2 + 0 + -6. Let k = l - -13. Determine h, given that -2*h - 4/7*h**k + 2*h**3 + 4/7 = 0.
-1, 2/7, 1
Let w(z) be the third derivative of -z**5/40 + 7*z**4/16 - 3*z**3 - z**2 + 27*z. Factor w(j).
-3*(j - 4)*(j - 3)/2
Let f(g) be the third derivative of -g**7/560 + 11*g**6/240 - g**5/2 + 3*g**4 - 19*g**3/6 - 5*g**2. Let h(o) be the first derivative of f(o). Solve h(i) = 0.
3, 4
Let w(x) be the third derivative of 0*x**3 + 0 - 1/60*x**6 - 1/24*x**4 - 1/24*x**5 - 3*x**2 - 1/420*x**7 + 0*x. Factor w(a).
-a*(a + 1)**2*(a + 2)/2
Factor -5/2*i**4 - 1/2*i**3 + 0 + 1/2*i + 5/2*i**2.
-i*(i - 1)*(i + 1)*(5*i + 1)/2
Let d(u) be the third derivative of u**8/336 + u**7/42 - u**6/120 - u**5/12 - u**2 - 65. Find y such that d(y) = 0.
-5, -1, 0, 1
Let p(n) be the second derivative of 5/8*n**2 + 0 + 1/6*n**3 + 6*n - 1/48*n**4. Factor p(q).
-(q - 5)*(q + 1)/4
Let h(x) be the first derivative of 2/3*x**3 + 2/3*x - 1/12*x**4 - 2/15*x**5 - 4 + 7/6*x**2. Find r, given that h(r) = 0.
-1, -1/2, 2
Let m = 106 + -115. Let h(d) = 67*d**2 + 23 - d**3 + 2*d**3 - 18*d**2 - 55*d. Let p(j) = -24*j**2 + 28*j - 12. Let z(k) = m*p(k) - 4*h(k). Factor z(w).
-4*(w - 2)**2*(w - 1)
Let y(r) be the first derivative of r**5 - 19*r**4 - 50*r**3 - 26*r**2 + 17*r + 116. Factor y(k).
(k - 17)*(k + 1)**2*(5*k - 1)
Let f(m) = 2*m**2 - 2*m. Let l(j) = 6*j**2 - 14*j + 12. Let r(v) = -2*f(v) + l(v). Find t, given that r(t) = 0.
2, 3
Let i = 10543 - 10541. Suppose 1/3*q**i + 7/3*q + 2 = 0. What is q?
-6, -1
Let c(g) = -2*g + 54. Let h be c(0). Suppose -j = 2*j - h. Factor 2*x + 5*x + 4*x**2 + 32*x**4 + 16*x**3 - 5*x - j*x**2.
2*x*(x + 1)*(4*x - 1)**2
Suppose 0*x + 6 = 3*x. Suppose -x*o + 8 = 4. Factor 0 + 1/7*g**3 + 1/7*g + 2/7*g**o.
g*(g + 1)**2/7
Let w(f) = -2*f**2 - 22*f + 18. Let l(d) = 2*d**2 + 24*d - 18. Let h(p) = -3*l(p) - 4*w(p). Factor h(t).
2*(t - 1)*(t + 9)
Determine z, given that 2*z**2 - 11*z - 16*z + 9*z - 2*z - 30 - 8*z = 0.
-1, 15
Let a(y) be the second derivative of -y**6/360 + 7*y**4/72 + y**3/3 - 17*y**2 - 18*y. Let p(h) be the first derivative of a(h). What is d in p(d) = 0?
-2, -1, 3
Let i = 15009 + -8974. Let l = i + -30046/5. Let 33/5*t**4 - 3/5*t**5 + 219/5*t**2 - 168/5*t - l*t**3 + 48/5 = 0. Calculate t.
1, 4
Let w(g) be the second derivative of g**6/315 + 4*g**5/21 + 37*g**4/42 - 3*g + 24. Factor w(z).
2*z**2*(z + 3)*(z + 37)/21
Let m(d) be the third derivative of d**5/10 + 11*d**4/16 + 7*d**3/4 + 361*d**2. Find o, given that m(o) = 0.
-7/4, -1
Factor 0 - 4/3*a**2 - 4/3*a.
-4*a*(a + 1)/3
Let b(f) = 10*f + 14. Let j be b(-2). Let t be ((-3)/(-2) - -1) + 8 + j. Factor 3*m**2 + 3*m**4 - 3/4*m + 0 - t*m**3 - 3/4*m**5.
-3*m*(m - 1)**4/4
Suppose 120 - 114 = 3*q. Suppose -2*w - q*w + 1 = -5*s, -5*s + 5*w - 5 = 0. Determine i so that -8/9*i**s - 2/9*i**2 + 4/9*i + 0 + 2/3*i**4 = 0.
-2/3, 0, 1
Let j be (4 + -6)/2 + (21 - 0). Factor -21*a + 2*a**4 + 17*a + j*a + 2*a**5 - 2*a**2 - 10*a**3 - 8.
2*(a - 1