*l**3 - 4 - 32*l**2 + 28*l + 11*l**o.
-4*(l + 1)*(4*l - 1)**2
Let f(h) be the third derivative of 11*h**5/30 - 5*h**4 - 12*h**3 + 125*h**2. Factor f(m).
2*(m - 6)*(11*m + 6)
Let z(p) = 2*p**2 + 7*p + 5. Let t(o) = 10*o**2 + 34*o + 24. Let c(n) = -3*t(n) + 14*z(n). Find x such that c(x) = 0.
-1
Let k be (-9)/(-15) - (-55)/75. Let y = -80 + 82. Solve 0 - 2*g**4 - 4/3*g**3 - k*g + 14/3*g**y = 0 for g.
-2, 0, 1/3, 1
Factor 32/7*j**3 - 2/7*j**4 - 58/7*j**2 + 4*j + 0.
-2*j*(j - 14)*(j - 1)**2/7
Suppose 5*g - 13 = 3*m, -5*m + 10 = 6*g - 8*g. Suppose 2/3*w**3 + 0 - 2/9*w**m - 4/9*w**2 + 0*w = 0. Calculate w.
0, 1, 2
Let l(o) = o**4 - 4*o**3 - 3*o + 3. Let d(x) = -4*x**3 - 2*x + 2. Let y(n) = -n**2 + 9*n + 4. Let m be y(10). Let g(q) = m*d(q) + 4*l(q). Factor g(h).
4*h**3*(h + 2)
Let z(j) be the third derivative of j**8/392 - 8*j**7/315 - 41*j**6/420 - j**5/15 + 4*j**4/63 + 118*j**2. Let z(y) = 0. Calculate y.
-1, 0, 2/9, 8
Let f be (1 - (1 - 2))*(-13)/1742. Let v = 123/737 - f. Suppose v*k**2 + 2/11*k**3 - 4/11*k + 0 = 0. Calculate k.
-2, 0, 1
Let m(v) = -2*v**3 - 6*v**2 - 9*v + 8. Let g be m(-5). Suppose 2*t**3 - g - 4*t**3 - 16*t - 10*t**2 + 145 = 0. Calculate t.
-2, -1
Let v = 80 - 52. Let h = v - 24. Determine n, given that -10*n**h + n**2 + 6*n - 6*n**3 - 4*n**5 - 4*n + n**2 = 0.
-1, 0, 1/2
Let b(p) be the second derivative of -p**4/24 - 191*p**3/6 - 36481*p**2/4 - 562*p. Factor b(r).
-(r + 191)**2/2
Suppose 39 - 102 = 15*z - 36*z. Factor 2*b**5 + 0*b + 2/5*b**z + 16/5*b**4 - 4/5*b**2 + 0.
2*b**2*(b + 1)**2*(5*b - 2)/5
Factor 78*b + 90 + 4*b**3 + 726670*b**2 - 2*b**3 - 726648*b**2.
2*(b + 3)**2*(b + 5)
Let h(o) be the second derivative of -o**6/80 - 9*o**5/160 + o**3/4 - 51*o - 1. Let h(q) = 0. Calculate q.
-2, 0, 1
Let r(c) be the second derivative of c**6/480 + 7*c**5/120 + 49*c**4/96 + 10*c**2 + 26*c. Let v(m) be the first derivative of r(m). Let v(s) = 0. What is s?
-7, 0
Let m(f) = 8*f**5 - 2*f**4 + 8*f**3 + 6*f**2 + 6*f + 6. Let w(x) = x**5 - x**4 + x**3 + x**2 + x + 1. Let p(u) = m(u) - 6*w(u). Factor p(o).
2*o**3*(o + 1)**2
Let l(h) be the third derivative of 0 + 1/80*h**6 - 1/16*h**4 + 1/280*h**7 + 0*h**3 - 1/80*h**5 + 42*h**2 + 0*h. Find q, given that l(q) = 0.
-2, -1, 0, 1
Let i(r) be the third derivative of -1/72*r**6 - 5/3*r**3 - 125/24*r**4 - 5/12*r**5 - r**2 + 0*r + 0. Let q(n) be the first derivative of i(n). Factor q(v).
-5*(v + 5)**2
Factor -55/2*m + 181/10*m**2 + 46/5 + 1/5*m**3.
(m - 1)*(m + 92)*(2*m - 1)/10
Let b(g) be the first derivative of g**3/24 + g**2/16 - 123. Determine a so that b(a) = 0.
-1, 0
Let l(k) be the third derivative of -1/168*k**8 + 12*k**2 + 0 + 0*k**4 + 1/60*k**6 + 0*k**7 + 0*k**3 + 0*k + 0*k**5. Factor l(h).
-2*h**3*(h - 1)*(h + 1)
Factor 0*i + 0*i**2 - 2/5*i**3 + 0 - 1/5*i**4.
-i**3*(i + 2)/5
Let o(h) be the second derivative of 3*h + 8/9*h**3 + 0 - 10/3*h**2 + 1/9*h**4. Factor o(q).
4*(q - 1)*(q + 5)/3
Let y(l) = -17*l**2 + 23*l - 1. Suppose 7 + 10 = 3*m - 2*p, 2*m - 16 = -p. Let f(i) = -2 - 2*i + 41*i - 25*i**2 - 5*i. Let b(c) = m*y(c) - 5*f(c). Factor b(r).
3*(r - 1)*(2*r - 1)
Let 3*b - 3*b**3 - 6*b**2 + 9/2 + 3/2*b**4 = 0. What is b?
-1, 1, 3
Let 18/5 - 3/10*s**4 + 11/5*s**3 + 6/5*s - 47/10*s**2 = 0. What is s?
-2/3, 2, 3
Let l(z) be the second derivative of -25*z**4/4 + 15*z**3 - 27*z**2/2 + 453*z. Let l(d) = 0. What is d?
3/5
Let f(w) = -2*w**5 - 8*w**4 + 2*w**3 + 5*w**2 - 3. Let n(i) = -3*i**5 + 5*i**2 - 4 + 0*i**3 + 2*i**5 - 9*i**4 + i**3. Let u(r) = 4*f(r) - 3*n(r). Factor u(o).
-5*o**2*(o - 1)*(o + 1)**2
Let l(a) be the second derivative of -10*a + 0*a**2 + 0 - 1/5*a**3 - 1/20*a**4. Let l(p) = 0. What is p?
-2, 0
Let d(u) = -4*u**2 + 49*u + 892. Let t be d(-10). Find m, given that 3/5*m**4 + 0*m + 15*m**t - 6*m**3 + 0 = 0.
0, 5
Let w = 48 + -40. Find f, given that -4 - 4*f**2 - 4*f + w + 4 = 0.
-2, 1
Let x(t) = -t**3 - t**2 + 5*t - 1. Let v(g) = -2*g**3 - 45*g**2 - 520*g - 883. Let q(r) = 2*v(r) - 2*x(r). Factor q(h).
-2*(h + 2)*(h + 21)**2
Let q(y) = -19*y**4 + 7*y**3 + 28*y**2 - 7*y - 6. Let c(t) = -96*t**4 + 34*t**3 + 138*t**2 - 34*t - 28. Let n(g) = -3*c(g) + 14*q(g). Factor n(l).
2*l*(l - 1)*(l + 1)*(11*l - 2)
Let l(z) be the second derivative of -25*z**7/28 + 11*z**6/12 - 13*z**5/40 + z**4/24 + 52*z - 2. Factor l(h).
-h**2*(3*h - 1)*(5*h - 1)**2/2
Find b such that -1416 + 2664 + 132*b - 1332 - 9*b**2 = 0.
2/3, 14
Factor -1/8*b**2 + 0 - 63/8*b.
-b*(b + 63)/8
Let w be (20/(-5) + 1)/(-1). Suppose -24 - 18*d**2 - 21*d**2 - 15*d**2 - 60*d - w*d**4 - 21*d**3 = 0. Calculate d.
-2, -1
Let g = 23/75 + 2/75. Let u be 2/(-3)*2/(-4). Solve q**3 + g*q**5 - q**4 + 0*q - u*q**2 + 0 = 0 for q.
0, 1
Let t(w) = -13*w**3 + 19*w**2 + 5*w - 5. Let d(v) = -4*v**3 - 3 + 3*v + 9*v**2 + 0*v**2 - 3*v**3. Let a(m) = 5*d(m) - 3*t(m). Suppose a(l) = 0. What is l?
0, 3
Let l(i) = 4*i**2 + 64*i - 60. Let g(j) = j**2 + 22*j - 20. Let u(a) = -8*g(a) + 3*l(a). Solve u(c) = 0 for c.
-5, 1
Let k be (-228)/(-570) - (-2)/(-30). Solve -k*c**3 + 1/3*c - 2/3*c**2 + 2/3 = 0 for c.
-2, -1, 1
Let y be (-15)/(-3) + 4 + -13 + 6. Let j(p) be the second derivative of 0*p**3 + 0 + 3/140*p**5 - p - 3/28*p**4 + 6/7*p**y. Factor j(l).
3*(l - 2)**2*(l + 1)/7
Let r(g) = -2*g**3 - 18*g**2 - 13*g - 3. Let f(a) = -3*a**3 - 38*a**2 - 29*a - 7. Let o(c) = -6*f(c) + 14*r(c). Suppose o(k) = 0. What is k?
-2, -2/5, 0
Let o be ((-3)/(-81)*1)/(6/27). Let 2/3*b**3 - o*b**5 + 0 - 1/2*b + 1/3*b**4 - 1/3*b**2 = 0. What is b?
-1, 0, 1, 3
Let o be 2*1 - (-16008)/(-84). Let t = 189 + o. Factor 0*n + 0 + t*n**3 - 6/7*n**4 + 0*n**2 + 3/7*n**5.
3*n**3*(n - 1)**2/7
Let l = 62 - 38. Let m be l/12 + 0 + -2. Factor 0 + 0*q + 0*q**3 - 1/4*q**4 + m*q**2.
-q**4/4
Let 0*p - 2/3*p**3 + 2/3*p**5 + 76/3*p**2 - 64/3 - 4*p**4 = 0. Calculate p.
-2, -1, 1, 4
Let c(l) = -20*l**2 + 10*l - 30. Let r(d) = 3*d**2 + d + 1. Let v(t) = -2*c(t) - 12*r(t). Suppose v(o) = 0. Calculate o.
2, 6
Let x(b) be the third derivative of -b**5/12 - 25*b**4/24 + 5*b**3 + 94*b**2. Suppose x(l) = 0. Calculate l.
-6, 1
Let u(p) = 2*p + 26. Let v be u(-10). Find t such that 2*t**2 + v*t - 8*t**2 + 2*t + 10*t**2 = 0.
-2, 0
Let q(h) be the first derivative of -h**4/36 + 34*h**3/27 + 71*h**2/18 + 4*h - 440. Factor q(y).
-(y - 36)*(y + 1)**2/9
Let y(z) be the first derivative of 0*z**2 + 14 + 6/55*z**5 - 1/33*z**6 + 2/33*z**3 - 3/22*z**4 + 0*z. Solve y(k) = 0.
0, 1
Let y(z) be the first derivative of z**7/3780 - z**6/810 + z**5/540 - 17*z**3/3 - 20. Let f(g) be the third derivative of y(g). Factor f(m).
2*m*(m - 1)**2/9
Let j(n) be the first derivative of -2*n**3/3 - n**2 + 52. Suppose j(g) = 0. What is g?
-1, 0
Let f = 241/198 + -17/22. Let z(l) = l**3 - 2*l**2 + 8*l - 14. Let t be z(2). Factor 1/9*x**t + 4/9 + f*x.
(x + 2)**2/9
Solve -216/5*t**4 + 16*t - 324/5*t**3 - 32/5 + 324/5*t**5 + 168/5*t**2 = 0 for t.
-2/3, 1/3, 2/3, 1
Factor -53*o**2 - 417 + 12*o**2 + 8*o**2 + 11*o**2 - 1254*o + 13*o**2.
-3*(o + 139)*(3*o + 1)
Suppose -116 = -14*s + 122. Suppose -u - s = -4*l, 3*l - 5*l + 11 = -u. Determine d, given that 1/3*d**4 + 0 + 1/6*d**5 - 1/3*d**2 + 0*d - 1/6*d**l = 0.
-2, -1, 0, 1
Let u(r) be the third derivative of r**8/1008 - r**7/210 + r**6/180 - 124*r**2. Let u(n) = 0. What is n?
0, 1, 2
Let h(q) be the third derivative of 0*q - 10*q**2 + 1/60*q**6 + 0*q**5 + 0 + 0*q**4 + 0*q**3 - 1/210*q**7. Solve h(g) = 0.
0, 2
Let q(b) be the second derivative of -1/9*b**3 + 0*b**2 - 1/30*b**5 + 0 - 6*b + 1/9*b**4. Suppose q(k) = 0. Calculate k.
0, 1
Let t(n) be the first derivative of 10*n - 5/4*n**4 + 20/3*n**3 - 25/2*n**2 + 9. Factor t(v).
-5*(v - 2)*(v - 1)**2
Suppose -88*m = -160*m + 216. Factor -7/2*n + m*n**2 + 1/2.
(n - 1)*(6*n - 1)/2
Let w be (-13 + (-5232)/(-228) + -10)*-2. Find u such that 0 + 10/19*u**4 - 10/19*u**2 + w*u**3 + 0*u - 2/19*u**5 = 0.
-1, 0, 1, 5
Let c = -21 - -31. Let a be 80/c*(-9)/(-4). Solve -a*r + 26*r + 15*r**2 - 12*r**3 - 11*r = 0 for r.
0, 1/4, 1
Let y(g) be the first derivative of -5*g**6/6 - 3*g**5 - 5*g**4/2 + 10*g**3/3 + 15*g**2/2 + 5*g - 57. Factor y(t).
-5*(t - 1)*(t + 1)**4
Let o(k) be the first derivative of -k**6/48 - k**5/4 + 9*k**4/8 - 19*k**3/12 + 13*k**2/16 + 8. Factor o(f).
-f*(f - 1)**3*(f + 13)/8
Let v be ((-7)/(-42)*8)/(2/6). Suppose -v*m = 2*m - m. Factor 0