*a**4 - 10*a**2 - 1/15*a**5 + 2/3*a**3 + 0*a + 0. Factor s(o).
-2*(o - 1)*(o + 1)*(o + 2)
Let q(a) be the second derivative of a**5/20 - a**4/3 - 7*a**3/6 + 5*a**2 + 31*a. Factor q(f).
(f - 5)*(f - 1)*(f + 2)
Let j(u) be the first derivative of -3*u**5 + 125*u**4/4 - 340*u**3/3 + 170*u**2 - 80*u + 960. Find z such that j(z) = 0.
1/3, 2, 4
Factor -286*o + 0*o**3 + 364*o - 4*o**3 - 10*o**2 - 36.
-2*(o - 3)*(o + 6)*(2*o - 1)
Find m such that 219/5*m + 6/5 + 603/5*m**2 = 0.
-1/3, -2/67
Find v, given that 288/13*v + 0 - 160/13*v**3 + 672/13*v**2 - 8*v**4 - 10/13*v**5 = 0.
-6, -2/5, 0, 2
Let b = -149 - -158. Suppose -2*k + k = b*k. Factor 2/9*f**4 + 2/9*f**3 - 4/9*f**2 + 0*f + k.
2*f**2*(f - 1)*(f + 2)/9
Let x be ((-106)/(-14) - 7)/(2/7). Suppose 0 = x*s - 2*w - 5 - 7, 9 = -2*s - 5*w. Factor 15/2*c - 1 + 25*c**s + 7/2*c**5 - 20*c**2 - 15*c**4.
(c - 1)**4*(7*c - 2)/2
Let x(b) = -12*b**2 - 42*b - 15. Let k(w) = -9*w**2 - 28*w - 10. Let f(m) = -7*k(m) + 5*x(m). Factor f(p).
(p - 5)*(3*p + 1)
Suppose -8/7*a**3 + 120/7*a - 52/7*a**2 + 2/7*a**4 + 450/7 = 0. Calculate a.
-3, 5
Let u(v) be the third derivative of -2*v**7/1575 + v**6/300 + v**5/225 - 308*v**2. Determine a, given that u(a) = 0.
-1/2, 0, 2
Let v be ((5 - -9) + -5)*((-5)/(-5))/3. Suppose 3/5*r**4 - 3/5*r + 3/5*r**v + 6/5 - 9/5*r**2 = 0. Calculate r.
-2, -1, 1
Let a(l) = -l**2 + 6*l + 7. Let o(x) = -4*x - 1. Let d(i) = -11*i - 3. Let t(s) = -3*d(s) + 8*o(s). Let m(y) = 3*a(y) - 24*t(y). Factor m(g).
-3*(g + 1)**2
Determine n so that -1/5*n**2 + 32/5 + 14/5*n = 0.
-2, 16
Let f(u) = 69*u - 345. Let q be f(5). Find y, given that 0*y + q + 1/3*y**2 = 0.
0
Suppose 0 = 25*y - 38*y + 26. Suppose 5*t + 5 = -n, -2*t = n + 2 + 3. Factor -3/2*q + t - 3/4*q**y.
-3*q*(q + 2)/4
Let g = -10 + 12. Suppose -3*i - 20 = -j, 2*j + g*i = 23 + 17. Factor -j*z - 1 - 3 - 168*z**2 + 95*z - 5 + 48*z**3.
3*(z - 3)*(4*z - 1)**2
Let l(m) be the third derivative of -m**5/270 + 7*m**4/9 + 85*m**3/27 - 563*m**2. Factor l(x).
-2*(x - 85)*(x + 1)/9
Let d be ((-4)/(-21))/(8/(-6) + 8). Let y(o) be the third derivative of 0*o + 1/70*o**6 + 0 + d*o**5 - 11*o**2 + 0*o**4 + 1/490*o**7 + 0*o**3. Factor y(q).
3*q**2*(q + 2)**2/7
Let p(o) be the third derivative of 0*o + o**2 + 0 + 19/210*o**5 + 4/21*o**3 - 5/21*o**4 + 1/28*o**6. Find k, given that p(k) = 0.
-2, 1/3, 2/5
Let w be (-1)/(21/98*21 + -7). Solve 2/5*t**3 + 6/5*t**2 + 6/5*t + w = 0 for t.
-1
Let m(h) be the third derivative of -h**7/70 - 2*h**6/5 - 77*h**5/20 - 49*h**4/4 - 288*h**2. Let m(p) = 0. What is p?
-7, -2, 0
Suppose 4 = 4*o - 3*o. Factor -5*n - 10*n**2 + 5 + 5*n**o + n**5 - 7*n**5 + 10*n**3 + n**5 + 0*n**5.
-5*(n - 1)**3*(n + 1)**2
Let i = 65 + -55. Let h be 34/i + -3*(-12)/(-90). Let 3/2*j**2 - 3/2*j**h - 3/2*j**4 + 3/2*j + 0 = 0. Calculate j.
-1, 0, 1
Factor -2/3 - 2/3*j + 2/3*j**2 + 2/3*j**3.
2*(j - 1)*(j + 1)**2/3
Let m = 17 + -15. Let -43*h**m + 36 - 10*h**3 - 60*h + 75*h**2 + 5*h**2 - 4*h**4 + 5*h**4 = 0. What is h?
2, 3
Solve 885*m + 362*m**3 - 1395 - 99*m**2 - 367*m**3 - 26*m**2 = 0 for m.
-31, 3
Let n = 150 - 147. What is t in 2*t**n + 18*t + 8 + 43*t**2 + 0*t - 31*t**2 = 0?
-4, -1
Let h(c) be the first derivative of -2*c**3/27 - 5*c**2/9 + 4*c/3 - 140. Solve h(g) = 0 for g.
-6, 1
Suppose -1 = g - 3. Let m(v) = -11 - 8 - 2*v - 3*v**2 + 16 - 3. Let p(j) = 7*j**2 + 3*j + 13. Let i(s) = g*p(s) + 5*m(s). Solve i(a) = 0.
-2
Let i = 44993/105 - 857/2. Let g(l) be the third derivative of 1/1176*l**8 - l**2 + 0*l + 0*l**3 + 0*l**4 + 0 - i*l**5 + 1/735*l**7 - 1/420*l**6. Factor g(u).
2*u**2*(u - 1)*(u + 1)**2/7
Let z(c) be the second derivative of 4/7*c**2 - 4/7*c**3 - 1/6*c**4 - 12*c + 0. Factor z(i).
-2*(i + 2)*(7*i - 2)/7
Determine u, given that -12/7*u**2 + 12/7 + 2/7*u - 2/7*u**3 = 0.
-6, -1, 1
Let u(i) be the second derivative of 0 + 0*i**2 + 1/3*i**3 - 21*i - 1/3*i**4 + 1/10*i**5. Determine d so that u(d) = 0.
0, 1
Let z(h) be the second derivative of h**5/80 - h**4/6 + 13*h**3/24 - 3*h**2/4 - 280*h + 2. Let z(p) = 0. What is p?
1, 6
Let z(l) be the first derivative of 4*l + 2/3*l**3 - 20 - 3*l**2. Solve z(t) = 0 for t.
1, 2
Let j(b) = 6*b**2 + 985*b + 1143. Let f be j(-163). What is p in -2/11*p**f - 40/11*p - 200/11 = 0?
-10
Let p(h) = 44*h - 4046. Let a be p(92). Suppose 0 + 2/13*r**3 + 0*r**a + 0*r = 0. What is r?
0
Let b(k) = -1. Let v(t) be the first derivative of t**5/60 + 3*t**2/2 - 5. Let o(n) be the second derivative of v(n). Let f(d) = -b(d) - o(d). Factor f(w).
-(w - 1)*(w + 1)
Suppose 5*v = 3*k + 85, 3*v - 9 = 2*k + 47. Let m = k - -28. Factor 11*i**4 + 28*i**2 + 9*i**4 - 17*i**m - 19*i**3 - 8*i - 4*i**5.
-4*i*(i - 2)*(i - 1)**3
Suppose 5*s - 20 = n, -n + 0*n + 3*s = 10. Factor -25*d**3 - 20*d**4 - 5*d**5 - 10*d**2 - 7*d**n + 4*d**5 + 3*d**5.
-5*d**2*(d + 1)**2*(d + 2)
Let b be 78/9 + 3/9. Suppose 24 = b*a - 5*a. Factor -4*i**3 - 2*i**2 - i**2 - 2 + a*i + 6*i**4 - 2*i**5 + 0*i**3 - i**2.
-2*(i - 1)**4*(i + 1)
Let f(h) be the first derivative of -h**6/42 + 9*h**5/35 - 13*h**4/28 - 15*h**3/7 + 25*h**2/7 + 703. Suppose f(y) = 0. What is y?
-2, 0, 1, 5
Let b(v) be the first derivative of -v**8/336 - v**7/105 - v**6/120 + v**2/2 + 3. Let a(r) be the second derivative of b(r). What is y in a(y) = 0?
-1, 0
Let t = -3256 - -26051/8. Solve 3/8*j**2 + t*j - 3/4 = 0 for j.
-2, 1
Let f(b) be the third derivative of -b**5/15 - 10*b**4/3 - 38*b**3/3 - 79*b**2. Find x, given that f(x) = 0.
-19, -1
Let h be (-368)/2208 - (-2)/12*17. Suppose 2/3*l**2 - h - 4/3*l + 1/3*l**3 = 0. Calculate l.
-2, 2
Let x(f) be the third derivative of f**8/112 + 2*f**7/7 + 4*f**6 + 32*f**5 + 160*f**4 + 512*f**3 - 134*f**2. Suppose x(s) = 0. Calculate s.
-4
Let 16/3*v**2 - 34/3*v - 2/3*v**3 + 20/3 = 0. Calculate v.
1, 2, 5
Let v(r) be the third derivative of r**7/525 + r**6/60 - r**5/50 - 17*r**4/60 - 2*r**3/3 + 233*r**2. Factor v(o).
2*(o - 2)*(o + 1)**2*(o + 5)/5
Let s(o) be the third derivative of o**6/120 - 9*o**5/10 + 155*o**4/24 - 17*o**3 + 68*o**2 + o. Suppose s(k) = 0. Calculate k.
1, 2, 51
Let h(b) be the third derivative of -b**6/30 + 5*b**5/6 + 103*b**4/96 + 13*b**3/24 - 6*b**2 - 10. Factor h(i).
-(i - 13)*(4*i + 1)**2/4
Let w(u) be the third derivative of -u**6/30 - 28*u**5/15 - u**2 + 75. Let w(s) = 0. What is s?
-28, 0
Let a(g) = -10*g**4 + 5*g**3 + 5*g**2 - 10*g - 5. Suppose p - 6 = -p. Let v(o) = 5*o**4 - 2*o**3 - 2*o**2 + 5*o + 3. Let d(r) = p*a(r) + 5*v(r). Factor d(f).
-5*f*(f - 1)**2*(f + 1)
Let o be -272*(4 - 2 - 5/2). Let n be (o/(-36) - -4)*4. Factor -n*x + 2/9*x**2 + 8/9.
2*(x - 2)**2/9
Factor 22*p**2 + 21*p**2 - 57*p**2 - 18 - 7*p + 15*p**2.
(p - 9)*(p + 2)
Let o(s) = s**2 + 2*s - 11. Let x be o(5). Find l such that -13*l**3 + 0*l**2 + x*l + 9*l**3 - l**2 - 3*l**2 = 0.
-3, 0, 2
Factor 600/7 - 40/7*f + 2/21*f**2.
2*(f - 30)**2/21
Let h(l) = l**2 - l + 15. Let t(j) = -j - 2. Let w(a) = h(a) + 5*t(a). Let w(q) = 0. What is q?
1, 5
Let q be (-1024)/(-30)*((-18)/18 + 4). Find z, given that -2/5*z**4 - 192/5*z**2 - q + 32/5*z**3 + 512/5*z = 0.
4
Let o be (-2)/1*10/(-4) + -1. Find p such that 3*p + 6*p**2 + o - 3*p**3 - 5 - 5 = 0.
-1, 1, 2
Factor -9/4*f**2 + 3/2*f**3 + 3/2 - 9/4*f.
3*(f - 2)*(f + 1)*(2*f - 1)/4
Let c(r) be the second derivative of -r**8/10080 - r**7/756 - r**6/135 - r**5/45 + 17*r**4/12 + 12*r. Let n(q) be the third derivative of c(q). Factor n(j).
-2*(j + 1)*(j + 2)**2/3
Let g(s) = 11*s**5 + 16*s**4 - 58*s**3 + 6*s**2 - 6. Let i(h) = 2*h**5 + h**3 + h**2 - 1. Let m(p) = -g(p) + 6*i(p). Suppose m(b) = 0. What is b?
0, 8
Let m(n) be the first derivative of n**6/1080 - n**5/90 + n**4/18 - 8*n**3/3 - 8. Let q(t) be the third derivative of m(t). Determine c so that q(c) = 0.
2
Let f(s) = s**4 + 2*s**3 + s**2 + s. Let n(l) = 7*l**4 - 12*l**3 + 15*l**2. Let r(m) = -6*f(m) + 3*n(m). Factor r(y).
3*y*(y - 2)*(y - 1)*(5*y - 1)
Suppose -37 + 9 = -4*g. Let v(a) be the first derivative of -2/3*a - g - 1/12*a**4 + 1/6*a**2 + 2/9*a**3. Determine c so that v(c) = 0.
-1, 1, 2
Let n(i) be the second derivative of i**5/4 - 55*i**4/12 + 65*i**3/2 - 225*i**2/2 + 11*i. Factor n(l).
5*(l - 5)*(l - 3)**2
Let p(c) be the second derivative of c**6/90 - c**5/60 - c**4/4 + c**3/2 + 57*c. Factor p(g).
g*(g - 3)*(g - 1)*(g + 3)/3
Let b(i) = -42*i**3 - 361*i**2 - 390*i - 71. 