4 + 8/5*q**3 - 7/5*q**2 + 0 = 0. Calculate q.
0, 2/3, 1
Let o(r) be the first derivative of r**3/27 - r/9 - 6. Factor o(x).
(x - 1)*(x + 1)/9
Let f(r) = 18*r**3 - 60*r**2 + 48*r - 10. Let m(c) = -36*c**3 + 121*c**2 - 96*c + 21. Let t(y) = 5*f(y) + 2*m(y). Determine u so that t(u) = 0.
2/9, 1, 2
Let a be 6 + 0 + 6/2. Let q(h) = -h**2 + 9*h. Let o be q(a). Suppose 1/5*n**3 - 1/5*n + o*n**2 + 0 = 0. What is n?
-1, 0, 1
Suppose 0 - 9 = -3*o. Determine u so that o*u**4 - u**2 + 2*u**2 - 4*u**2 = 0.
-1, 0, 1
Let u(a) be the third derivative of 0 + 4*a**2 - 1/70*a**7 - 19/60*a**5 - 11/24*a**4 - 13/120*a**6 - 1/3*a**3 + 0*a. Factor u(s).
-(s + 1)**2*(s + 2)*(3*s + 1)
Let l be 6/(-3) + 3 - (-13)/(-13). Factor l*o + 8/5 - 2/5*o**2.
-2*(o - 2)*(o + 2)/5
Factor 10 + 4*y - 20 + 8*y**2 + 4*y**3 + 10.
4*y*(y + 1)**2
Let x(u) be the first derivative of -u**4/16 + 3*u**2/8 + u/2 + 3. Determine h so that x(h) = 0.
-1, 2
Let t(p) be the third derivative of -p**8/336 + p**7/210 + p**6/120 - p**5/60 - 5*p**2. Suppose t(q) = 0. Calculate q.
-1, 0, 1
Let v be (-55)/(-100) - (-4)/(-8). Let f(l) be the second derivative of -v*l**5 + 0*l**2 + 1/6*l**4 + 0 - 1/6*l**3 + l. Suppose f(d) = 0. What is d?
0, 1
Let m(a) be the second derivative of -a**6/20 + a**5/20 + a**4/24 - 13*a. Let m(f) = 0. Calculate f.
-1/3, 0, 1
Let v(p) be the first derivative of -1/6*p**4 + 2/9*p**3 + 1/3*p**2 - 2/3*p + 4. Let v(q) = 0. Calculate q.
-1, 1
Suppose 5*k - 33 = -4*i, -3*i + 4*k - 10 = 4. Factor -4*j + i*j - j**2 + 0*j**2.
-j*(j + 2)
Suppose 8*v - 20 + 4 = 0. Factor 1/4*z**4 + 0*z + 0 + 0*z**3 + 0*z**v + 1/4*z**5.
z**4*(z + 1)/4
Let t = 170 - 293. Let g = t + 617/5. What is o in 0 - 2/5*o**4 + 6/5*o**3 - 6/5*o**2 + g*o = 0?
0, 1
Let q(p) = p**3 + 19*p**2 - p - 10. Let n(y) = y**3 + 9*y**2 - y - 5. Let f(j) = -9*n(j) + 4*q(j). What is w in f(w) = 0?
-1, 1
Factor -12/5*u - 12/5 - 3/5*u**2.
-3*(u + 2)**2/5
Let h(w) = w**2 - w + 5. Let s be h(0). Suppose -1 - s = -2*q. Determine g so that -4*g**3 + 4*g**2 + q*g**3 - 5*g**2 = 0.
-1, 0
Factor -5*c**2 - 9*c - 3*c**4 - 10*c**3 - 16*c**2 - 5*c**3.
-3*c*(c + 1)**2*(c + 3)
Let w(q) be the third derivative of q**5/105 - q**4/3 + 14*q**3/3 - 9*q**2. Find n such that w(n) = 0.
7
Let y be (-3)/(-8)*2 - (46 + -46). Factor -3/4*r**2 + y*r - 1/4 + 1/4*r**3.
(r - 1)**3/4
Let c(f) = -5*f**2 + 3*f + 5. Let m be c(0). What is d in -2/7*d**m - 2/7 - 2/7*d**4 + 4/7*d**3 - 2/7*d + 4/7*d**2 = 0?
-1, 1
Let h = -29 + 40. Find t, given that -h*t + 0*t - t + 3*t**2 + 5 + 7 = 0.
2
Let y(g) be the first derivative of -1/12*g**3 + 3 + 0*g + 0*g**2. Factor y(f).
-f**2/4
Let k(h) be the third derivative of -h**8/3360 - h**7/840 + h**6/720 + h**5/120 - 5*h**3/6 - 4*h**2. Let l(s) be the first derivative of k(s). Factor l(o).
-o*(o - 1)*(o + 1)*(o + 2)/2
Let n(u) be the first derivative of -u**5/120 - u**4/12 - u**3/3 - u**2 - 1. Let j(r) be the second derivative of n(r). Find a such that j(a) = 0.
-2
Let t(c) be the third derivative of c**7/105 - c**6/48 - 7*c**5/120 + c**4/24 + 34*c**2. Determine b so that t(b) = 0.
-1, 0, 1/4, 2
Determine c, given that c**2 - 8*c - 2 - 2*c**3 + 3*c**2 + c**5 - 2*c**4 + 9*c = 0.
-1, 1, 2
Let f(p) = 10 + 1 - p + 0*p. Let s be f(7). Factor -16/3*z**3 - 16*z**2 - 32/3 - 64/3*z - 2/3*z**s.
-2*(z + 2)**4/3
Let w(p) be the third derivative of -p**11/1496880 + p**5/60 - 2*p**2. Let s(f) be the third derivative of w(f). Find t such that s(t) = 0.
0
Let d = -457/15 - -92/3. Determine k, given that 0*k + 0 - d*k**2 = 0.
0
Let k(s) be the third derivative of 1/120*s**4 + 1/30*s**3 - 1/600*s**6 - 1/300*s**5 + 2*s**2 + 0 + 0*s. Find d, given that k(d) = 0.
-1, 1
Let g = 2513/6941 + 1/631. Factor 2/11*k - g*k**2 + 0 + 4/11*k**4 + 0*k**3 - 2/11*k**5.
-2*k*(k - 1)**3*(k + 1)/11
Let i be 1/(-1*(-3)/12). Find t, given that 6*t**5 - 4*t**2 - 2*t**5 + 0*t**5 - 2*t + 4*t**i - 2*t**5 = 0.
-1, 0, 1
Let a(z) = 1 + z**2 - 3 + 0 + 1. Let p(h) = 8*h**2 + 6*h - 6. Let m(c) = -6*a(c) + p(c). Factor m(l).
2*l*(l + 3)
Let t(p) be the second derivative of 21*p**5/20 + 4*p**4 + 2*p**3 - 4*p. Find c such that t(c) = 0.
-2, -2/7, 0
Let g = 67 + -803/12. Let u(c) be the first derivative of -g*c**2 + 0*c - 1/9*c**3 + 1/15*c**5 + 3 + 1/36*c**6 + 0*c**4. Determine n, given that u(n) = 0.
-1, 0, 1
Factor -87*x + 90*x**3 + x**5 - 15*x**4 - 270*x**2 + 261*x + 0*x**4 + 231*x - 243.
(x - 3)**5
Let d(k) be the third derivative of 7/300*k**5 - 1/6*k**3 + 1/30*k**4 + 1/180*k**6 + 0*k + 0 - 2*k**2. Let a(n) be the first derivative of d(n). Factor a(r).
2*(r + 1)*(5*r + 2)/5
Determine c, given that 2*c - 3*c**4 - 10*c**2 - 2*c**3 + 11*c**2 + 2*c**4 + 0*c**4 = 0.
-2, -1, 0, 1
Let l(u) = -u**2 - u + 2. Let r be l(3). Let a be (2 - -1) + r/4. Suppose -a + 1/2*t**3 - 3/2*t**2 + 3/2*t = 0. Calculate t.
1
Let l(j) be the first derivative of j**6/8 - 3*j**4/16 + 6. Determine p, given that l(p) = 0.
-1, 0, 1
Let g be 1/2*(3 - 3). Suppose -3*r + g*r = -9. Factor -5*z + 4*z**2 + 3*z - 2*z**4 - 2*z + r*z**3 - z**5.
-z*(z - 1)**2*(z + 2)**2
Let v(n) be the second derivative of n**7/4410 - n**6/315 + 2*n**5/105 + n**4/6 + 4*n. Let d(o) be the third derivative of v(o). Find k, given that d(k) = 0.
2
Let x(i) = 10*i**3 + 15*i**2 - 5*i - 5. Let w(s) = 5*s**3 + 7*s**2 - 3*s - 3. Let f(d) = 5*w(d) - 2*x(d). Solve f(v) = 0.
-1, 1
Suppose -2*o + o = -1. Let x(k) be the first derivative of -o + 2/3*k**3 + 2*k - 2*k**2. Determine b so that x(b) = 0.
1
Let q(r) be the first derivative of r**6/6 + 3*r**5 + 47*r**4/4 - 79*r**3/3 - 24*r**2 + 64*r + 38. Factor q(a).
(a - 1)**2*(a + 1)*(a + 8)**2
Suppose h - 1 - 1 = 0. Determine f, given that -3*f**2 + 0*f**h + f**2 - f + 3*f = 0.
0, 1
Let z(q) be the second derivative of 2*q**7/105 - q**6/30 - q**5/15 + q**4/6 + 7*q**2/2 - 2*q. Let y(a) be the first derivative of z(a). Factor y(o).
4*o*(o - 1)**2*(o + 1)
Let m = 22/19 - 204/209. Find c, given that -6/11*c**5 - m*c**2 + 0*c + 6/11*c**3 + 2/11*c**4 + 0 = 0.
-1, 0, 1/3, 1
Let a(h) be the third derivative of 1/24*h**4 - 1/180*h**5 + 0*h - 3*h**2 + 0 - 1/9*h**3. Factor a(z).
-(z - 2)*(z - 1)/3
Suppose 7*j = 3*j - 3*q - 21, 4*j - 3*q = -3. Let b = 5 + j. Factor b*h**2 - 7*h**4 + 2*h**4 + 0*h**4 - 3*h**3.
-h**2*(h + 1)*(5*h - 2)
Let x(m) = -m**2 - 6*m - 8. Let q(y) = y + 2. Let j(v) = -5*q(v) - x(v). Factor j(s).
(s - 1)*(s + 2)
Suppose -4*m - 4 = 0, -3*c - m + 4*m = 0. Let h be (4/(-32))/(c/2). Factor -z + h + z**2.
(2*z - 1)**2/4
Let o = 7 + -3. Let j be o/2 + 4 + -2. Determine x so that 0*x**3 - x**j - x**2 + 0*x**2 + 2*x**3 = 0.
0, 1
Let x(i) = 3*i - 68. Let d be x(24). Let 2/5*z**d + 0*z**2 + 0*z**3 - 2/5*z**5 + 0*z + 0 = 0. What is z?
0, 1
Let v = 5 - 2. Let c be (-259)/(-15) - (252/45 + -5). Factor -10/3*j**2 - 8/3 + 32/3*j - c*j**v.
-2*(j + 1)*(5*j - 2)**2/3
Let t be 9/(-2)*6/(-9). Let u(z) be the third derivative of -1/150*z**5 - 2*z**2 + 0 - 1/60*z**4 + 0*z**t + 0*z. Factor u(m).
-2*m*(m + 1)/5
Let r(z) be the third derivative of 0*z**4 + 0*z + 0*z**5 + 1/105*z**8 + 0*z**7 + 0*z**3 - 1/600*z**6 - 3*z**2 + 0. Determine k so that r(k) = 0.
-1/4, 0, 1/4
Suppose -2*f = -m - 4*m + 53, 57 = 5*m - 3*f. Let a be (-2 - m/(-3))*2. What is o in -6*o + 5*o**a + 3*o - 5*o + 8 - 3*o**2 = 0?
2
Let w(g) be the second derivative of 1/22*g**4 + 0*g**2 + 1/33*g**3 + 3/110*g**5 + 0 + 2*g + 1/165*g**6. Factor w(t).
2*t*(t + 1)**3/11
Let p(x) = 4*x - 14*x + 6*x + 1. Let k(i) = i**2 + i + 1. Let r(c) = 3*k(c) - p(c). Factor r(h).
(h + 2)*(3*h + 1)
Let h be (-14)/(-60)*(-15)/(-210). Let t(u) be the third derivative of -h*u**6 - 1/15*u**5 - 1/12*u**4 + 0 + 0*u - u**2 + 0*u**3. Factor t(k).
-2*k*(k + 1)**2
Let f be ((-39)/8 + 5)/(1/4). Let -1/2 - 3/2*v - f*v**3 - 3/2*v**2 = 0. What is v?
-1
Let t(u) = -11*u**3 + 6*u**2 - 11*u. Let d(l) = 8*l**3 + 4*l - 2*l**2 - 3*l**3 - l**3. Let v(s) = 8*d(s) + 3*t(s). Suppose v(c) = 0. What is c?
0, 1
Let f be (12/(-2))/(6/(-6)). Factor -4*y**3 + 3*y**4 - 4*y**5 - f*y - 15*y**2 + 7*y**5 - 5*y**3.
3*y*(y - 2)*(y + 1)**3
Let w(y) = -1. Let x(u) = 4*u**4 + 4*u**3 - 20. Let n(a) = -20*w(a) + x(a). Factor n(f).
4*f**3*(f + 1)
Let i(f) be the second derivative of -f**4/84 + 5*f**3/21 - 25*f**2/14 - 14*f. Find h such that i(h) = 0.
5
Let m(w) = 9*w**5 - 6*w**4 - 12*w**3 + 6*w**2 + 9*w. Let v(x) = x**5