3/3 + 2*k**2 - 25*k. Suppose q(x) = 0. Calculate x.
-4, -2, 1
Let x be 150/24 + -9 + 3. Let q = -17/20 + 8/5. Find o such that -1 + q*o**2 - x*o**3 + 0*o = 0.
-1, 2
Let g be (-1)/6*(-216)/162. Determine x so that -2/9*x**3 - 4/9*x**2 + g*x**4 + 0*x + 0 = 0.
-1, 0, 2
Let a(j) be the third derivative of -1/108*j**4 - 3*j**2 + 0*j**3 - 2/945*j**7 + 0*j + 1/135*j**5 + 0 + 0*j**6 + 1/1512*j**8. Factor a(x).
2*x*(x - 1)**3*(x + 1)/9
Let k(d) = -4*d**5 + 6*d**4 + 8*d**3 - 6*d**2 - 10*d - 6. Let i(r) = -r**5 + r**4 + 2*r**3 - r**2 - 2*r - 1. Let x(b) = 6*i(b) - k(b). Factor x(u).
-2*u*(u - 1)**2*(u + 1)**2
Let x(r) be the second derivative of r**4/132 - 112*r**3/33 + 6272*r**2/11 - 24*r - 1. Let x(h) = 0. Calculate h.
112
Let y(t) be the first derivative of 4 + 0*t - 6/7*t**3 + 2/7*t**2 + 2/7*t**4. Factor y(l).
2*l*(l - 2)*(4*l - 1)/7
Let t be (-204)/(-765)*(4 + -1). Let r(m) be the first derivative of -1 + m**4 + 0*m + t*m**5 - 4/3*m**3 - 2*m**2. Find f, given that r(f) = 0.
-1, 0, 1
Let r(c) be the second derivative of c**4/96 - 7*c**3/24 + 5*c**2/2 + 2*c - 34. Solve r(q) = 0 for q.
4, 10
Determine d so that 4/3*d**3 - 40/3*d + 0 + 12*d**2 = 0.
-10, 0, 1
Let v be (-1)/(-2) - (-3)/(-6). Suppose 7*s - 4*s - 36 = v. Factor s*w + 14 - 6 + 0 + 2*w**2 + 10.
2*(w + 3)**2
Find c such that 84/11*c + 18/11 + 8/11*c**4 + 56/11*c**3 + 122/11*c**2 = 0.
-3, -1/2
Suppose 2*s + 3 + 7 = 0, -3*o = -5*s - 25. Factor 1/5 - 1/5*b**2 + o*b.
-(b - 1)*(b + 1)/5
Suppose 14*f + 360 = 19*f. Factor -f*o**5 + 37*o**5 - o**3 + 33*o**5 - 3*o**4.
-o**3*(o + 1)*(2*o + 1)
Let k = -208/3 - -70. Suppose q - 1 = -x, -10*q + 7 = -5*q + 3*x. Factor k*i + 2/9*i**q + 4/9.
2*(i + 1)*(i + 2)/9
Let l(u) be the first derivative of 3*u**5/20 - u**4/2 - 2*u**3 + 12*u**2 - 55*u + 35. Let f(c) be the first derivative of l(c). Let f(z) = 0. What is z?
-2, 2
Let n be (-1)/(1/(-2)*(-1 - -3)). Let o be 96/28 + n/((-4)/12). Factor -6/7*t + o*t**2 + 0.
3*t*(t - 2)/7
Let m = 3/14428 - -14413/72140. Determine r so that -m*r**4 + 3/5 - 8/5*r + 6/5*r**2 + 0*r**3 = 0.
-3, 1
Let v(i) be the second derivative of 0 - 1/75*i**6 + 2/15*i**3 - 1/6*i**4 + 2/25*i**5 - 9*i + 0*i**2. Let v(t) = 0. Calculate t.
0, 1, 2
Let t(o) = -2*o**3 + 30 - 2*o**3 + 3*o**2 - 27 + 4*o. Let p(q) = q**3 - q**2 - q - 1. Let l(f) = -6*p(f) - 2*t(f). Factor l(w).
2*w*(w - 1)*(w + 1)
Find u, given that 0 - 8/9*u + 4/9*u**4 + 20/9*u**2 - 16/9*u**3 = 0.
0, 1, 2
Let l = -155 - -67. Let t be 10/3 + l/66. Find n, given that 3/7 - 12/7*n + 12/7*n**t = 0.
1/2
Let c = -5 - -3. Let i be 3 + c + -1 + 2. Factor z**i + z - z**2 - 3*z**2 + 4*z**4 - 5*z**4 + 3*z**3.
-z*(z - 1)**3
Factor -16/5 - 4/3*h + 2/15*h**2.
2*(h - 12)*(h + 2)/15
Let v(d) be the third derivative of -d**5/12 + 5*d**4/12 + 20*d**3 + 111*d**2. Solve v(h) = 0 for h.
-4, 6
Let o(a) be the second derivative of a**4/30 + 2*a**3/3 + 16*a**2/5 - 90*a. Factor o(t).
2*(t + 2)*(t + 8)/5
Let t(z) = -z + 1. Let l(y) = -3 - 13*y + y**2 - 2*y**2 + 18 + 4. Let w(o) = -4*l(o) + 44*t(o). Factor w(x).
4*(x - 2)*(x + 4)
Let u(j) be the third derivative of 0 + 0*j - 1/20*j**5 - 8*j**2 - 1/4*j**4 + 0*j**3 + 1/20*j**6 + 1/70*j**7. Suppose u(f) = 0. Calculate f.
-2, -1, 0, 1
Let w = -32 - 58. Let x = w - -181/2. Find c, given that -5/2*c + x*c**2 + 2 = 0.
1, 4
Suppose g + 3 = 0, -16*r - 2*g + 34 = -18*r. Let f be (-45)/(-54)*(-18)/r. What is n in f*n**4 + 0 + 3*n + 9/2*n**3 + 27/4*n**2 = 0?
-4, -1, 0
Let a(d) be the first derivative of 2*d**3/33 - d**2 + 56*d/11 + 126. Factor a(f).
2*(f - 7)*(f - 4)/11
Factor 1/6*v**2 + 0 - 1/3*v.
v*(v - 2)/6
Let c(u) = -2*u**3 + 148*u**2 + 194*u + 50. Let a(b) = -6*b**3 + 295*b**2 + 387*b + 99. Let w(v) = 6*a(v) - 13*c(v). Let w(x) = 0. What is x?
-14, -1, -2/5
Let h(p) be the second derivative of -p**7/504 - p**6/144 - 23*p**4/6 + 49*p. Let v(s) be the third derivative of h(s). Determine n so that v(n) = 0.
-1, 0
Suppose 0 = -3*t + 23 + 19. Let x be 24/t + (-16)/(-56). What is u in -8*u**x + 4 - 3*u**2 + 7*u**2 = 0?
-1, 1
Suppose 3*g**3 + 3*g + 6*g**2 - 26326 + 26326 = 0. What is g?
-1, 0
Let m be ((-62)/(-868))/(((-9)/27)/(16/(-6))). Factor 0 + 0*j - 2/7*j**3 + m*j**4 - 2/7*j**5 + 0*j**2.
-2*j**3*(j - 1)**2/7
Let y be 28/52*(-8 + 171/21). Let z(w) be the second derivative of 1/78*w**4 - y*w**2 + 0*w**3 + 10*w + 0. Factor z(j).
2*(j - 1)*(j + 1)/13
Let f be ((-1)/(-3))/(4/60). Suppose 4*m - 6*m = -n - 73, 4*n = -f*m + 189. Find v, given that m*v**3 - v - 3*v**4 - 29*v**3 - 7*v**2 + 3*v = 0.
0, 2/3, 1
Find k such that -2/7*k**4 - 470/7*k - 202/7*k**2 - 34/7*k**3 - 300/7 = 0.
-6, -5, -1
Let k(m) = -m**3 + 4*m**2 + 7*m. Let p be k(5). Suppose 2*h = -h - l + p, 3*h - l = 2. Let -5*q**2 - 2*q - 10*q**3 + 12*q**3 - h*q**2 + 7*q**4 = 0. Calculate q.
-1, -2/7, 0, 1
Let i be (-75 - -85)/((-14)/3 + 6). Factor 3/2*c**3 + 9/2*c**2 - 27/2*c + i.
3*(c - 1)**2*(c + 5)/2
Suppose -56*n = 10439 - 10607. Factor 1/6*f**4 + 1/3*f + 0 - 5/6*f**2 - 1/6*f**5 + 1/2*f**n.
-f*(f - 1)**3*(f + 2)/6
Let d(p) = -p**3 - 6*p**2 + 26*p - 6. Let s be d(-9). Factor 0*u - 6/5*u**2 - 6/5*u**4 + 0 + s*u**3.
-3*u**2*(u - 2)*(2*u - 1)/5
Solve 960 - 228/5*s**2 - 6/5*s**3 - 384*s = 0 for s.
-20, 2
Let r(k) = 27*k**2 + 17*k - 8. Let f be r(-1). Suppose -2/19*t**f + 0 + 12/19*t**3 - 10/19*t**4 + 0*t = 0. What is t?
0, 1/5, 1
Let f(r) be the second derivative of r**7/2520 - 13*r**6/2880 + r**5/160 + 3*r**4/4 + 16*r. Let i(h) be the third derivative of f(h). What is o in i(o) = 0?
1/4, 3
Let r(q) be the third derivative of q**6/15 + 11*q**5/5 + 24*q**4 + 128*q**3/3 - 3*q**2 - 86*q. Factor r(t).
4*(t + 8)**2*(2*t + 1)
Let n(k) = 4*k**3 + 538*k**2 + 266*k - 265. Let q be n(-134). Factor 0*j - 2/11*j**2 + 0 + 2/11*j**4 + 0*j**q.
2*j**2*(j - 1)*(j + 1)/11
Let r be 7/(0 - (-9)/(-11)). Let j = 629/63 + r. Solve 0 - 2/7*i**2 - j*i**3 + 2/7*i - 6/7*i**4 = 0.
-1, 0, 1/3
Suppose 0 = 12*z - 64 + 28. Let r(i) = i**3 - 5*i**2 + i - 3. Let m be r(5). Factor 0 - 1/5*v**4 - 1/5*v + 1/5*v**m + 1/5*v**z.
-v*(v - 1)**2*(v + 1)/5
Let j(k) = 13*k + 1. Let w be j(-1). Let x be (2/w)/((-126)/(-24) - 6). Find y, given that 2/9*y**2 + 0 - x*y**4 + 2/3*y**3 - 2/9*y**5 - 4/9*y = 0.
-2, -1, 0, 1
Let y(q) = q**2 + 1. Let j(a) = 4*a**3 + 12*a**2 - 16*a + 24. Let z(h) = j(h) - 24*y(h). Suppose z(k) = 0. What is k?
-1, 0, 4
Let r(j) be the third derivative of j**8/560 + j**7/35 + 39*j**6/200 + 37*j**5/50 + 17*j**4/10 + 12*j**3/5 - 21*j**2. Determine z so that r(z) = 0.
-3, -2, -1
Let t(a) = 2*a**2 + 20*a + 2. Let v be t(-10). Let m(z) be the second derivative of 0*z**v + 0*z**4 + 0 - 1/120*z**5 + 4*z + 1/36*z**3. Let m(x) = 0. What is x?
-1, 0, 1
Let k(s) be the third derivative of -s**6/720 - s**5/30 - s**4/3 - 17*s**3/6 + 11*s**2. Let a(o) be the first derivative of k(o). Solve a(m) = 0.
-4
Suppose 0*l = 2*u + l - 5, 0 = -3*u + 2*l + 11. Suppose 12*i - 15*i**4 - 8*i**2 - 15*i**3 - 9*i + 21*i**4 + 17*i**2 - u = 0. Calculate i.
-1/2, 1
Let o(i) = 14*i**3 + 11*i + 11. Let q(v) = 5*v**3 + 4*v + 4. Let l = 20 - 9. Let h(a) = l*q(a) - 4*o(a). Factor h(p).
-p**3
Suppose -4*p + 10*p = 96. Factor -p + 21 - 9*a - 11 + 3*a**2 - 6*a**2.
-3*(a + 1)*(a + 2)
Let m(q) = q**3 - 7*q**2 - 6*q - 2. Let i be m(8). Let n be 4/(-1 - -5) + i/(-18). Factor 0 - 2/9*r - 2/3*r**3 + n*r**4 + 2/3*r**2.
2*r*(r - 1)**3/9
Let n(d) be the second derivative of -d**6/90 - 2*d**5/15 - d**4/2 + 2*d**3/3 + 14*d. Let x(i) be the second derivative of n(i). Factor x(o).
-4*(o + 1)*(o + 3)
Let q(u) be the first derivative of -4 + 4/15*u - 1/30*u**4 + 0*u**3 + 1/5*u**2. Factor q(i).
-2*(i - 2)*(i + 1)**2/15
Let y = -2 + -3. Let c(a) = -12*a**2 - 33*a + 24. Let o(s) = 3*s**2 + 8*s - 6. Let h(n) = y*c(n) - 21*o(n). Solve h(v) = 0 for v.
-2, 1
Suppose 0 = -4*t - 4*q, 0 = 10*t - 5*t + q. Let x(m) be the second derivative of 8*m + 1/3*m**4 + t + 2*m**3 + 0*m**2. Factor x(a).
4*a*(a + 3)
Let j(r) = r**2 - r + 1. Suppose -3*i + 4*i - 2 = 0. Let u(m) = -18*m + 5*m - 23 + 12 - i*m**2. Let s(z) = j(z) - u(z). Factor s(h).
3*(h + 2)**2
Suppose -12/5 - 2/5*x**2 - 58/15*x = 0. Calculate x.
-9, -2/3
Let m(i) = -i**3 + 7*i**2 - 5*i - 8. Let f be m(6). Let v be (-16)/(-6) - f/6. Solve 3*c - 4 + 85*c**2 - 85*c**2 + 2*c**v - 9*c = 0 for c.
-1, 2
Let x(w) = -3*w**2 - 124*w - 55. Let b(s) = s**2 + 62*s 