Let x(d) be the second derivative of y(d). Factor x(g).
-2*(g - 2)*(g + 1)**2/7
Let h(k) be the first derivative of -k**5/20 - 5*k**4/16 - 2*k**3/3 - k**2/2 - 11. Let h(i) = 0. What is i?
-2, -1, 0
Solve -24/7*x + 6/7*x**2 + 18/7 = 0.
1, 3
Factor 3/5*c**3 + 21/5*c - 3*c**2 - 9/5.
3*(c - 3)*(c - 1)**2/5
Let r(s) = -3*s - 30. Let i be r(-10). Factor i - 2/3*h**2 - 2/3*h.
-2*h*(h + 1)/3
Let s be 10/14*(0 - (-4)/20). Determine r, given that 1/7*r**4 - 1/7*r**3 + 0*r + 1/7*r**5 + 0 - s*r**2 = 0.
-1, 0, 1
Let u = 28982/63 + -460. Let c(t) be the second derivative of -1/60*t**5 + 0*t**3 + 0*t**2 + 2*t + 0 - u*t**7 + 0*t**4 - 1/18*t**6. Let c(k) = 0. What is k?
-1, -1/4, 0
Let f(m) = -m**3 + m. Let z(j) = -j**3 - 3*j**2 + 2*j + 4. Let w = 0 - -1. Let d(i) = w*z(i) - 2*f(i). Factor d(g).
(g - 2)**2*(g + 1)
Let o(b) = -b**2 + 7*b - 4. Let k be o(6). Let g = -2/119 - -244/357. Factor 2/3*p**4 - 1/3*p**5 + 0*p**3 + 1/3*p - g*p**k + 0.
-p*(p - 1)**3*(p + 1)/3
Let i(q) = q**2 + q + 1. Let y(g) = 237276*g**3 + 36498*g**2 + 1866*g + 26. Let t(n) = 6*i(n) + y(n). Factor t(m).
4*(39*m + 2)**3
Let k = -12 + 14. Determine o so that 0*o**2 - 9 - 9*o + 0*o**2 - 3*o**k + 3 = 0.
-2, -1
Let k be -6 - -15 - 530/70. Factor -k*p**2 + 2/7*p + 8/7*p**3 + 0.
2*p*(p - 1)*(4*p - 1)/7
Let h = -1066 - -1066. Solve -2/11*k**4 - 8/11*k**3 - 10/11*k**2 + h - 4/11*k = 0.
-2, -1, 0
Factor -3*m**2 + 47*m - 5*m**4 - 4*m**2 - 32*m + 2*m**2 - 15*m**3 + 10.
-5*(m - 1)*(m + 1)**2*(m + 2)
Let d(z) = -z**3 + z**2 + 2*z - 2. Let v = 7 + -6. Let p be d(v). Let -5/2*o**5 - 4*o**4 + o**2 - 1/2*o**3 + 0 + p*o = 0. Calculate o.
-1, 0, 2/5
Let m(s) be the second derivative of 1/60*s**6 - 1/40*s**5 - 1/24*s**4 + 1/12*s**3 - 3*s + 0*s**2 + 0. Determine o, given that m(o) = 0.
-1, 0, 1
Let a(v) = v**3 - 2*v**2 + 2. Let b be a(2). Let j be ((-10)/(-20))/(6/16). Find c such that 0*c - j*c**4 + 0 + 0*c**b + 2/3*c**5 + 2/3*c**3 = 0.
0, 1
Let m(j) be the third derivative of j**7/1050 - j**6/120 + 7*j**5/300 - j**4/40 + j**2. Determine y so that m(y) = 0.
0, 1, 3
Let b(d) be the second derivative of d**5 + 2*d**4/3 - 10*d**3/3 - 4*d**2 - 22*d. Factor b(o).
4*(o - 1)*(o + 1)*(5*o + 2)
Let a = 2/501 + 127/10020. Let n(h) be the third derivative of 1/6*h**3 + 0 + 0*h + a*h**5 - 1/12*h**4 - h**2. Determine k, given that n(k) = 0.
1
Let u(x) be the second derivative of -x**5/60 + x**2/2 + 2*x. Let d(g) be the first derivative of u(g). Factor d(c).
-c**2
Suppose -5*r + 5 = -0*s + 5*s, r - 7 = s. Let a(q) be the second derivative of 0*q**2 - 1/25*q**5 + 0*q**r - q + 0*q**3 + 1/15*q**6 + 0. Factor a(d).
2*d**3*(5*d - 2)/5
Let i(u) be the first derivative of -u**3/6 - u**2/4 + u + 10. Suppose i(p) = 0. What is p?
-2, 1
Suppose -2*f = -2*n - 5 + 23, 2*n = -f + 6. Suppose n*z + 2 = 27. Find k such that k**5 - 2*k**z + 21*k**3 - 20*k**3 = 0.
-1, 0, 1
Solve -12*d**3 + 6*d**2 - 6*d**2 - 17*d**2 - 18*d - 16*d**2 + 3*d**4 = 0 for d.
-1, 0, 6
Let i(z) be the third derivative of -5/72*z**4 + 0 - 1/360*z**6 + 0*z + 1/45*z**5 + 1/9*z**3 - 4*z**2. Let i(b) = 0. Calculate b.
1, 2
Let o be 60/25 - 2/5. Let u(a) be the first derivative of -6/5*a**5 - o - 2/3*a**3 + 0*a**2 + 0*a + 2*a**4. Factor u(m).
-2*m**2*(m - 1)*(3*m - 1)
Suppose 2*v = -5*n + 17, 2*n - 4 = v + 1. Let w be 15*((-6)/9 + v). Factor 4*s**4 + s**2 + 2*s**3 - 2*s**2 - w*s**4.
-s**2*(s - 1)**2
Let r(q) = 5*q**3 + 2*q**2 - 5*q - 2. Let h(f) = 25*f**3 + 11*f**2 - 25*f - 11. Let g(s) = 2*h(s) - 11*r(s). Factor g(l).
-5*l*(l - 1)*(l + 1)
Let v(h) = -h**2 + 12*h + 5. Let n be v(13). Let o be (-21)/(-18)*n/(-14). Let -2/3*y**3 - 2/3*y**2 + 2/3 + o*y = 0. Calculate y.
-1, 1
Factor 2*k**2 + 2*k**3 - 4*k - 2 + 2*k + 4*k - 4*k.
2*(k - 1)*(k + 1)**2
Let i be (-32)/(-6) + 2/(-6). Suppose i*s + 0*q - 20 = 4*q, 2*q + 4 = s. Suppose o**4 + 2*o**3 - 3 + s - o + o**5 - 2*o**2 - 2*o**5 = 0. What is o?
-1, 1
Let h(c) be the second derivative of c**6/240 - 3*c**5/160 - c**4/96 + c**3/16 + 11*c. What is m in h(m) = 0?
-1, 0, 1, 3
Suppose -1/2*k**4 + 0 + 2*k**3 + 0*k - 2*k**2 = 0. What is k?
0, 2
Let u = 8 + -5. Suppose -u*t + 13 = -2. Factor -z**2 + 3*z**2 - z**2 + t*z**3 - 4*z**3.
z**2*(z + 1)
Suppose -4*c - 4*y = -3*c + 1, 15 = 4*c - 3*y. Let s(j) be the second derivative of 0*j**c - 1/8*j**2 + 1/48*j**4 + 0 - j. Factor s(f).
(f - 1)*(f + 1)/4
Let i(y) = -6*y**3 + 6*y**2 - 9*y + 3. Let x(m) = 13*m**3 - 11*m**2 + 19*m - 7. Let q(u) = 7*i(u) + 3*x(u). Determine z so that q(z) = 0.
0, 1, 2
Determine v, given that 8/5*v**2 - 8/5 - 2/5*v + 2/5*v**3 = 0.
-4, -1, 1
Let a(v) be the third derivative of -v**9/37800 + v**8/8400 + v**7/6300 - v**6/900 - v**4/6 + 5*v**2. Let r(k) be the second derivative of a(k). Factor r(d).
-2*d*(d - 2)*(d - 1)*(d + 1)/5
Let z(x) be the third derivative of -2*x**5/15 - x**4/12 - 2*x**2. Factor z(d).
-2*d*(4*d + 1)
Let i(f) = f**3 - 10*f**2 + 9*f + 5. Let q be i(9). Let b be 1 + 2 - 13/q. Factor b*v - 2/5 + 18/5*v**2 + 22/5*v**3 + 8/5*v**4.
2*(v + 1)**3*(4*v - 1)/5
Let s be (-13)/(65/10) - 121/(-60). Let v(p) be the third derivative of 0 + p**2 - 1/4*p**4 + 0*p - 1/10*p**5 - s*p**6 - 1/3*p**3. Factor v(h).
-2*(h + 1)**3
Let 1/2 + 1/4*o**2 + 3/4*o = 0. Calculate o.
-2, -1
Let w(h) be the third derivative of 0*h + 1/120*h**6 + 0 - 3*h**2 - 1/20*h**5 + 1/210*h**7 - 1/3*h**3 - 5/24*h**4. Factor w(q).
(q - 2)*(q + 1)**3
Let k = 25 + -9. Suppose v + 12 = -3*l, 4*v + 4*l - 8*l = k. Let v - 2/9*o**2 + 0*o = 0. What is o?
0
Factor -24 + z - 16 + 38 + 0*z**2 + z**2.
(z - 1)*(z + 2)
Factor 0 + 3/2*i**4 - 3/2*i - 3/2*i**2 + 3/2*i**3.
3*i*(i - 1)*(i + 1)**2/2
Let d(x) be the second derivative of 5/4*x**4 - 3*x + 6*x**2 - 3/20*x**5 - 4*x**3 + 0. Suppose d(m) = 0. Calculate m.
1, 2
Let x(q) be the second derivative of -q**6/6 + 3*q**5/4 + 5*q**4/4 - 35*q**3/6 - 15*q**2 + 17*q. Determine h, given that x(h) = 0.
-1, 2, 3
Factor 2 + 2*t**3 - 6 - t**4 - 2*t + 5.
-(t - 1)**3*(t + 1)
Let q(j) be the third derivative of -j**8/672 + j**7/60 + j**6/120 - 23*j**5/60 - 65*j**4/48 - 25*j**3/12 - 13*j**2. Find t, given that q(t) = 0.
-1, 5
Solve 0 + 1/7*u - 1/7*u**2 = 0.
0, 1
Let p(q) be the third derivative of -7*q**6/120 - 23*q**5/60 - 5*q**4/6 - 2*q**3/3 - 6*q**2. Factor p(b).
-(b + 1)*(b + 2)*(7*b + 2)
Let i(k) be the second derivative of -k**6/60 + k**5/15 - k**4/12 - 2*k**2 - k. Let j(q) be the first derivative of i(q). Factor j(w).
-2*w*(w - 1)**2
Let h(w) be the first derivative of 5*w**4/12 - 10*w**3/9 + 5*w**2/6 + 16. Factor h(c).
5*c*(c - 1)**2/3
Let z(p) be the second derivative of 5*p**4/24 - 5*p**3/3 - 10*p. Factor z(q).
5*q*(q - 4)/2
Let u(m) be the second derivative of 4/9*m**2 + 49/54*m**4 - 2*m + 28/27*m**3 + 0. Determine l so that u(l) = 0.
-2/7
Suppose -14*x + 19*x = 0. Let o(r) be the first derivative of -2/35*r**5 + x*r**2 + 1/14*r**4 + 2/21*r**3 - 1/21*r**6 + 3 + 0*r. Let o(g) = 0. Calculate g.
-1, 0, 1
Let u(c) = 2*c - 4. Let b be u(5). Suppose b*r - 2*r = 0. Suppose -2*h - 4*h**2 + r*h + h = 0. Calculate h.
-1/4, 0
Solve 8*x + 4*x + x**2 + 12 + 2*x**2 = 0.
-2
Let l(n) be the first derivative of -n**4/26 - 4*n**3/39 + n**2/13 + 4*n/13 - 9. Factor l(g).
-2*(g - 1)*(g + 1)*(g + 2)/13
Let g(f) be the third derivative of 0*f**7 - 5*f**2 + 0*f**3 + 0*f + 1/300*f**6 - 1/1680*f**8 + 0 + 0*f**5 - 1/120*f**4. Let g(i) = 0. Calculate i.
-1, 0, 1
Let u(z) be the second derivative of 1/168*z**7 - 1/60*z**6 + 0*z**2 + 6*z + 0*z**4 + 0*z**3 + 0 + 1/80*z**5. Suppose u(v) = 0. What is v?
0, 1
Suppose -2 = 2*x - 2. Let y be (-18)/21*7/(-5). Factor 0*h + 0 + x*h**2 - 2/5*h**4 + 0*h**3 - y*h**5.
-2*h**4*(3*h + 1)/5
Let q(m) = -117*m**3 - 47*m**2 + 52*m - 3. Let h(k) = -k**3 + k**2 + 1. Let p(b) = -5*h(b) + q(b). Factor p(o).
-4*(o + 1)*(4*o - 1)*(7*o - 2)
Let q(m) = 2*m**2 + 4*m + 3. Let v be q(-4). Let r = 25 - v. Factor -r*o - 13/2*o**2 - 1/2*o**4 - 3*o**3 - 2.
-(o + 1)**2*(o + 2)**2/2
Let p(g) = -g**2 - 4*g. Let u be p(-7). Let v be (-2)/7 - 48/u. Suppose -s**v - 1 - 2 + 1 + 3*s = 0. What is s?
1, 2
Let v(p) be the second derivative of -p**5/50 + p**4/3 - 17*p**3/15 + 8*p**2/5 - 27*p. Factor v(c).
-2*(c - 8)*(c - 1)**2/5
Let -4*w**2 + 6*w**3 + 5*w**5 + 2*w**2 + 2*w**4 - 11*w**5 = 0. Calculate w.
-1, 0, 1/3, 1
Determine g so that 0 - 1/2*g - g**2 - 1/2*g**3 = 0.
-1, 0
Let c = -1