 - 330*p**2 - 12*p**3 - 360*p**2 + 45*p**4 - 56*p.
4*p*(p - 2)*(p + 1)**2*(p + 7)
Let n(u) be the third derivative of 0*u**3 + 1/112*u**8 + 1/20*u**5 + 0*u + 3/70*u**7 + 0 + 3/40*u**6 + 0*u**4 - 12*u**2. Solve n(v) = 0.
-1, 0
Let v(n) be the third derivative of n**5/140 + n**4/21 + 2*n**3/21 + 2*n**2 - 9*n. Factor v(a).
(a + 2)*(3*a + 2)/7
Let f(n) be the first derivative of n**5/8 - 5*n**4/24 - 25*n**3/12 - 15*n**2/4 - 3*n - 15. Let c(j) be the first derivative of f(j). Factor c(m).
5*(m - 3)*(m + 1)**2/2
Suppose o - 68 = -3*i, -6*o + 68 = -5*o - 2*i. Let y = 68 - o. Factor -4/5*n**3 + 0*n**2 + 2/5*n**5 + 2/5*n + y*n**4 + 0.
2*n*(n - 1)**2*(n + 1)**2/5
Let p(g) be the third derivative of g**5/4 - g**4/3 - 23*g**3/6 - 12*g**2. Let m(y) = -7*y**2 + 4*y + 11. Let t(a) = 7*m(a) + 3*p(a). Factor t(f).
-4*(f - 2)*(f + 1)
Let t(m) be the second derivative of 13/30*m**3 + 19*m - 1/15*m**4 + 0 - 3/10*m**2. Let t(w) = 0. What is w?
1/4, 3
Let d(a) = a**3 + 13*a**2 + 10*a - 3. Let u be d(-12). Let w be (3 - 51/u)*2. Solve 6/7*z**4 + 4/7*z + 0 - w*z**3 - 2/7*z**2 = 0.
-2/3, 0, 1
Let -10 + 2/3*r**2 + 28/3*r = 0. What is r?
-15, 1
Let z be (13/(-39))/(1/(-6)). Suppose 0 = 3*s - z*s - b, -3*s - 3*b = -12. Factor 0 - 2/9*u - 2/9*u**s.
-2*u*(u + 1)/9
Let z(q) be the third derivative of -q**6/6 + 5*q**5/4 - 85*q**4/24 + 5*q**3 + 5*q**2 - 6*q. Find l such that z(l) = 0.
3/4, 1, 2
Suppose 100*f + 21 = 107*f. Let v = 14 - 10. Determine m so that 9*m**2 + 5*m**4 - 6*m**4 + m**3 - v*m**2 + f*m = 0.
-1, 0, 3
Let r(k) = -11*k + 37*k - 22*k**2 + 5*k**3 + 8*k**2. Let j(m) = -5*m**3 + 15*m**2 - 25*m. Let h(c) = -6*j(c) - 5*r(c). Factor h(b).
5*b*(b - 2)**2
Suppose -y = 10 - 102. Let t be ((-6)/15 - 0) + y/30. Factor t + 2/3*p**2 - 8/3*p.
2*(p - 2)**2/3
Let v(j) be the second derivative of -j**8/3360 - 11*j**4/6 - 12*j. Let m(c) be the third derivative of v(c). Factor m(n).
-2*n**3
Let w(b) be the second derivative of 3/200*b**5 + 1/300*b**6 + 0 - 1/120*b**4 + 6*b - 1/30*b**3 + 0*b**2 - 1/420*b**7. Determine p, given that w(p) = 0.
-1, 0, 1, 2
Suppose 2*g = -3*v + 13, 0 = v + 3*g - g + 1. Suppose v*k = 6*k + 5. Find l, given that -48*l**3 - 3*l**k + 24*l**2 - 48 - 16*l + 21*l**4 + 26*l + 38*l = 0.
-1, 2
Let t(s) be the first derivative of 8*s + 0*s**5 + 1/6*s**4 + 0*s**3 - 1/15*s**6 + 5 + 0*s**2. Let j(m) be the first derivative of t(m). Factor j(f).
-2*f**2*(f - 1)*(f + 1)
Let t(i) be the first derivative of -11 - 5*i - i**2 - 1/15*i**3. Determine a so that t(a) = 0.
-5
Let 0 + 6/11*q**2 - 18/11*q = 0. What is q?
0, 3
Let o(u) be the second derivative of -5*u**4/84 - 11*u**3/21 - 12*u**2/7 - 52*u. Determine f so that o(f) = 0.
-12/5, -2
Let q = -2 + 2. Let p = -46314 + 46314. Let q + 0*j**4 - 1/2*j + p*j**2 - 1/2*j**5 + j**3 = 0. Calculate j.
-1, 0, 1
Let 1215*n**2 - 2477*n**2 + 18*n**4 - 15*n**3 - 3*n**5 + 1226*n**2 = 0. What is n?
-1, 0, 3, 4
Let q = -45 - -47. Let f(d) be the second derivative of -d + 0 + 0*d**q + 1/120*d**6 + 1/24*d**4 + 3/80*d**5 + 0*d**3. Suppose f(p) = 0. What is p?
-2, -1, 0
Factor 0*m**4 + 0*m**2 + 0*m + 3/2*m**5 - 3/2*m**3 + 0.
3*m**3*(m - 1)*(m + 1)/2
Let g(b) = -b**2 + 11*b - 26. Let f be g(4). Factor -5*x**f - 2*x**4 + 15*x + 7*x**4 + 39*x**3 - 54*x**3.
5*x*(x - 3)*(x - 1)*(x + 1)
Let d be (8 + -25)*(-2 - -1). Suppose 0 = 3*a - d + 5. Factor 3*b**3 + 2 - 3*b**3 + 9*b**2 + 3*b**3 - 2*b**3 - 3*b**a - 9*b.
-(b - 1)**2*(b + 2)*(3*b - 1)
Suppose -30*k - 432 = -48*k. Let v(x) be the first derivative of -k*x + 5 - 3/5*x**5 + 6*x**3 + 3/4*x**4 - 6*x**2. Factor v(i).
-3*(i - 2)**2*(i + 1)*(i + 2)
Let b(q) be the second derivative of -9*q**4/20 + 7*q**3/10 + 3*q**2/5 + q + 44. Let b(u) = 0. What is u?
-2/9, 1
Factor 18*a**2 + 13 + 23 + 3*a**2 - 6*a - 18*a - 51*a.
3*(a - 3)*(7*a - 4)
Suppose 4*w + 4*q = 14 + 22, -4 = -w + 4*q. Let m(a) be the first derivative of -a + 0*a**2 + 1/3*a**3 - w. Solve m(k) = 0 for k.
-1, 1
Determine o so that 145 + 8*o**3 - 109 - 4*o**2 - 4*o**3 - 36*o = 0.
-3, 1, 3
Let j = -4382 - -4384. Factor 4/5*n**j - 8/5 - 4/5*n.
4*(n - 2)*(n + 1)/5
Let j(g) be the third derivative of g**8/6720 - g**7/1260 + g**6/720 + g**4/8 + 3*g**2. Let s(t) be the second derivative of j(t). Let s(q) = 0. What is q?
0, 1
Let f be 7336/(-11844)*71/(-5). Let s = f - -2/423. Suppose 88/15*p + 10/3*p**4 - s*p**2 + 2/3*p**3 - 16/15 = 0. Calculate p.
-2, 2/5, 1
Let y(a) be the third derivative of 1/320*a**6 - 1/160*a**5 + 0*a - 8*a**2 - 1/64*a**4 + 0 + 1/16*a**3. Factor y(q).
3*(q - 1)**2*(q + 1)/8
Suppose l**5 + 2*l**5 - 6*l**5 + 16*l**4 + 7*l**5 - 24*l**2 + 8*l**4 + 32*l**3 - 36*l = 0. Calculate l.
-3, -1, 0, 1
Suppose 5 = d + 16. Let j = -8 - d. Solve n**4 + 2*n**3 + 0*n**4 - 4*n**j + n**4 = 0.
0, 1
Suppose -187 = 3*j + 3*s - 196, 0 = 3*j - 3*s + 9. Factor -1/5*x**3 + 2/5*x - 1/5*x**2 + j.
-x*(x - 1)*(x + 2)/5
Factor c**2 + 7/2*c - 2.
(c + 4)*(2*c - 1)/2
Let l(u) be the first derivative of -5*u**4/4 - 20*u**3/3 - 61. Determine s so that l(s) = 0.
-4, 0
Let c(m) be the first derivative of 100*m**5 + 275*m**4/4 - 20*m**3/3 - 10*m**2 - 373. Find y such that c(y) = 0.
-2/5, 0, 1/4
Let f = 28339/8 + -3542. Suppose 3/8*y - f*y**4 + 3/8*y**2 + 0 - 3/8*y**3 = 0. What is y?
-1, 0, 1
Suppose 3*k = -3*n + 12, 0 = -4*n + k + 16 + 10. Let i be (16 - n)/(1 - -1). Determine g, given that -2/3*g**i + 2/3*g**3 + 0*g**2 + 0 + 0*g**4 + 0*g = 0.
-1, 0, 1
Determine t, given that 16/3*t**3 - 2/3*t**5 - 4/3*t**4 - 14/3*t + 8/3 - 4/3*t**2 = 0.
-4, -1, 1
Let z = -2615 + 2620. Suppose 8/9*o + 2/9*o**z - 2/3*o**3 + 0 + 8/9*o**2 - 4/9*o**4 = 0. Calculate o.
-1, 0, 2
Suppose -54*k - 171 - 64 = -343. Factor -2/9*b**3 + 2/3*b**k + 2/9*b - 2/3.
-2*(b - 3)*(b - 1)*(b + 1)/9
Let o(x) be the first derivative of -5*x**3/3 - 45*x**2 + 315*x - 45. Factor o(h).
-5*(h - 3)*(h + 21)
Let l(a) = -4*a**2 + 19*a + 11. Let r be l(8). Let k = r + 95. Factor -2/17*c**3 + 0 + 0*c + 2/17*c**k.
-2*c**2*(c - 1)/17
Let f(m) be the second derivative of -m**4/21 + 400*m**3/21 - 20000*m**2/7 - 877*m. Solve f(h) = 0 for h.
100
Let h be 2 + (3/2)/(18/8). Let j(x) = -2*x**3 + 5*x**2 - 5*x + 8. Let o be j(2). Factor -14/3*m + 28/3*m**o - h - 2*m**3.
-2*(m - 4)*(m - 1)*(3*m + 1)/3
Let a = -29 + 28. Let i(c) = -2*c**3 - c**2 + 2*c + 3. Let g be i(a). Factor 1/5*w**g - 1/5*w + 0.
w*(w - 1)/5
Let d = -106244 - -22205074/209. Let q = 14/19 - d. Suppose 2/11*x + 0 - q*x**2 + 2/11*x**3 = 0. Calculate x.
0, 1
Factor 84*z**2 + 4 + 66*z**2 + 3*z**2 + 54*z + 15*z**2 - 28*z**2.
2*(7*z + 2)*(10*z + 1)
Let n be (-1125)/50*(-3)/36*(-4)/(-6). Factor n*l + 1/2*l**2 + 1/2.
(l + 2)*(2*l + 1)/4
Let k be (-1)/((-3)/2 - -1). Solve 5*z**k - 3*z**5 - 8*z**2 - 16*z**4 + 8*z - 3*z**5 + 19*z**2 - 2*z**3 = 0 for z.
-2, -1, -2/3, 0, 1
Let q(t) = t + 13. Let d be q(-16). Let g be 4/(-1) - d - -3. Factor 2*o**4 + 7*o**2 + 6*o**3 + 0*o**3 - o**g + 2*o.
2*o*(o + 1)**3
Let q(i) = -17*i**3 + 429*i**2 - 10575*i - 11045. Let n(u) = 100*u**3 - 2580*u**2 + 63450*u + 66270. Let l(m) = -6*n(m) - 35*q(m). Suppose l(r) = 0. What is r?
-1, 47
Suppose -8/9*o - 2/9*o**2 - 8/9 = 0. Calculate o.
-2
Suppose -86/3*z**3 - 8/3*z**2 + 0 - 40/3*z**4 + 8/3*z = 0. Calculate z.
-2, -2/5, 0, 1/4
Let x(s) be the third derivative of 5 + 4*s**2 + 1/150*s**5 - 7/60*s**4 + 0*s + 0*s**3. Find q, given that x(q) = 0.
0, 7
Let d(z) be the third derivative of z**6/160 + z**5/80 - z**4/8 - z**3/2 + 2*z**2 + 40. Factor d(a).
3*(a - 2)*(a + 1)*(a + 2)/4
Let d(t) be the first derivative of t**4/16 - 3*t**3/2 - 53. Factor d(u).
u**2*(u - 18)/4
Let x(y) be the first derivative of 2 - 3/4*y**4 + 3/4*y**3 + 3/20*y**5 + 0*y**2 + 0*y. Factor x(c).
3*c**2*(c - 3)*(c - 1)/4
Let d(m) = m - 10. Let t be d(14). Suppose 0 = -4*w - t*g + 56, -2*g + 32 = 2*w - 4*g. Factor 1 - 17*c**2 + 2*c**3 - 2*c + 1 + w*c**2.
2*(c - 1)**2*(c + 1)
Let x be (-94)/705 + (-8682)/(-315). Factor -4/7*q**3 + 256/7 + 48/7*q**2 - x*q.
-4*(q - 4)**3/7
Let w(b) = -b + 24. Let y(v) = 5*v - 96. Let l(t) = 9*w(t) + 2*y(t). Let z be l(-21). Factor 15/4*h - z*h**2 - 3/2 + 3/4*h**3.
3*(h - 2)*(h - 1)**2/4
Solve -2/7*d**3 + 2/7*d**5 + 0*d + 0 + 6/7*d**4 - 6/7*d**2 = 0.
-3, -1, 0, 1
Let i(n) be the first derivative of -n**6/150 + n**5/75 + n**4/15 - 3*n**2/2 + 11. Let o(a) be the second derivative of i(a). Determine k so