) = 0.
1
Let r(k) be the first derivative of -125*k**4/4 + 365*k**3/3 + 15*k**2 - 703. What is v in r(v) = 0?
-2/25, 0, 3
Let s(m) be the third derivative of -m**6/600 - m**5/40 - m**4/10 + m**3/2 - 25*m**2. Let u(b) be the first derivative of s(b). Factor u(x).
-3*(x + 1)*(x + 4)/5
Let o(l) = -l**3 + l**2 - l - 1. Let c(p) = -3*p**5 + 19*p**4 - 24*p**3 - 12*p**2 - 8*p - 8. Let q(n) = 5*c(n) - 40*o(n). Suppose q(k) = 0. Calculate k.
-2/3, 0, 2, 5
Let z(x) be the third derivative of x**7/105 - x**6/10 + 13*x**5/30 - x**4 + 4*x**3/3 + 63*x**2. Factor z(g).
2*(g - 2)**2*(g - 1)**2
Let j be 7 - -2*(-6)/4. Let d be 55/20 - (-1)/j. Suppose -2*y**d + 6*y**5 + 6*y**4 + 4*y**3 - 2*y**4 + 4*y**4 = 0. Calculate y.
-1, -1/3, 0
Suppose 0 = r - 4*u - 38, 4*u - 168 - 70 = -5*r. Let y = r + -44. Factor 0 + 0*c - 2/7*c**y.
-2*c**2/7
Suppose 2*g + 4*y + 1 = -15, y + 13 = 4*g. Let i = 12 + -9. Factor 3/4*k**3 + 0 - 1/2*k**g + 0*k + 7/4*k**5 + i*k**4.
k**2*(k + 1)**2*(7*k - 2)/4
Let g be (767/(-70) - -6) + 5. Let j(y) be the second derivative of -4*y + 0 + 0*y**2 - 1/21*y**3 + 2/21*y**4 - g*y**5. Factor j(s).
-2*s*(s - 1)*(3*s - 1)/7
Suppose -77*j = -125*j + 480. Let r(y) be the first derivative of -j + 0*y + 1/9*y**3 - 1/15*y**5 + 1/18*y**6 + 1/3*y**2 - 1/4*y**4. Factor r(k).
k*(k - 2)*(k - 1)*(k + 1)**2/3
Factor -5/4*v**5 - 2430*v**2 + 0 - 40*v**4 - 18225/4*v - 945/2*v**3.
-5*v*(v + 5)*(v + 9)**3/4
Let a(s) = 9*s**4 + 28*s**3 - 4*s**2 - 133*s - 144. Let q(v) = -v**5 - v**4 - v**3 - v. Let n(d) = -2*a(d) + 2*q(d). Determine m so that n(m) = 0.
-4, -3, -2, 2
Let n(d) be the second derivative of d**7/630 + d**6/18 - 15*d**4/4 + 13*d + 3. Let m(a) be the third derivative of n(a). Factor m(l).
4*l*(l + 10)
Let r(q) be the third derivative of 35*q**8/48 - 5*q**7/3 - 395*q**6/24 - 100*q**5/3 - 175*q**4/6 - 40*q**3/3 - 41*q**2. Suppose r(z) = 0. What is z?
-1, -2/7, 4
Let w(q) = -2*q + 40. Let b be w(19). Factor 94*d**2 - 1 - b - 1 - 90*d**2.
4*(d - 1)*(d + 1)
Let v(f) = f**2 - 4*f + 14. Let z be v(0). Let c be (-4)/z - (-12)/42. What is p in -1/5*p**2 + c - 1/5*p = 0?
-1, 0
Let t be 38/57 + 2/(-6). Let -1/3*p**2 + 2/3 + t*p = 0. What is p?
-1, 2
Let i = 18373/13 + -1413. Factor 0 + i*q**2 + 0*q + 10/13*q**3 + 2/13*q**5 + 8/13*q**4.
2*q**2*(q + 1)**2*(q + 2)/13
Let l(d) be the second derivative of -d**4/32 - 5*d**3 - 300*d**2 + 43*d. Factor l(s).
-3*(s + 40)**2/8
Let w be (1 + (-8)/4)*-5. Solve -2*y**2 - 6*y**2 - 9*y + w*y**2 - 7 + 1 = 0.
-2, -1
Let o be 16194/945 + ((-33)/27 - -1). Let a = -68/7 + o. Let 44*u**2 + a + 156/5*u + 20*u**3 = 0. What is u?
-1, -3/5
Suppose 23 = 14*k - 5. Factor -17*u + 7*u + 12*u - 2*u**k.
-2*u*(u - 1)
Solve -24 + 75/2*s - 57/4*s**2 + 3/4*s**3 = 0 for s.
1, 2, 16
Suppose -681*i + 524 = -286*i - 264*i. Let o(h) = -h**3 + 4*h**2 + 6*h. Let f be o(5). What is s in -81/4*s**3 + 3*s**2 - 21/4*s**f + 0 + 3*s + 39/2*s**i = 0?
-2/7, 0, 1, 2
Let f(v) be the third derivative of 10/3*v**3 + 0*v + 1/8*v**6 + 0 + 0*v**4 - 7/12*v**5 + 12*v**2. Suppose f(s) = 0. Calculate s.
-2/3, 1, 2
Let z = -3364 - -10094/3. Suppose -2/3 + 4/3*q - z*q**2 = 0. Calculate q.
1
Let h be (-4)/(-18) + 624/108. Let i(s) be the first derivative of 0*s**3 + 3/4*s**4 + 0*s**2 - 5 + 0*s + 2*s**h - 3*s**5. Factor i(g).
3*g**3*(g - 1)*(4*g - 1)
Let a be (-2)/22 - (-990)/2904. Find n such that -a*n**5 - 1/4 - 1/4*n - 1/4*n**4 + 1/2*n**3 + 1/2*n**2 = 0.
-1, 1
Let v be (-2)/32*(-8 - -6). Factor -1/2 + 1/8*c**2 + v*c**3 - 1/2*c.
(c - 2)*(c + 1)*(c + 2)/8
Let y(v) be the third derivative of v**6/300 + 7*v**5/150 + v**4/6 + 26*v**2. Determine r, given that y(r) = 0.
-5, -2, 0
Let d(w) = w**2 + 24*w + 83. Let z be d(-20). Determine i, given that -12/11*i**2 - 2/11*i**z + 2/11*i + 12/11 = 0.
-6, -1, 1
Let h(m) be the first derivative of -2*m**3/27 - 2*m**2/9 + 65. Suppose h(w) = 0. Calculate w.
-2, 0
Factor 0 + 2945*q**2 + 12*q - 2948*q**2 - 9.
-3*(q - 3)*(q - 1)
Let s(t) = 5*t**3 - 1. Let p be s(1). Let d = -1366 - -1370. Let p*o**2 + 2*o**2 - 6*o**2 + 8 - 4*o**2 - d*o = 0. Calculate o.
-2, 1
Let m be ((-9)/(-36))/(14/8). Suppose -2*h - 4*y = -5*h, -5*h - 4*y = 0. Determine a so that -1/7 + h*a + m*a**2 = 0.
-1, 1
Let b(i) be the second derivative of 2/15*i**3 + 1/25*i**5 + 0 + 0*i**2 + 2*i + 2/15*i**4. Determine t, given that b(t) = 0.
-1, 0
Suppose -19 + 31 = 3*q. Let -25*y**q + 7*y**5 - 2*y**5 + 50*y**3 + 0*y**5 - 5 - 50*y**2 + 25*y = 0. Calculate y.
1
Suppose 45*v = 13*v. Factor v*d - 2/7*d**2 + 2/7.
-2*(d - 1)*(d + 1)/7
Let f(h) be the third derivative of 2*h**7/105 + 28*h**6/3 + 6533*h**5/5 - 140*h**4/3 - 39200*h**3/3 + 234*h**2 - 2. Factor f(n).
4*(n - 1)*(n + 1)*(n + 140)**2
Let g(i) be the first derivative of -13 + 4/3*i**3 + 12*i - 8*i**2. Factor g(t).
4*(t - 3)*(t - 1)
Let o(k) = 5*k**3 + 2*k**2 + k + 4. Let z(y) = 2*y**3 + y**2 - y. Let s(p) = 2*o(p) - 6*z(p). Factor s(c).
-2*(c - 2)*(c + 1)*(c + 2)
Let l(p) be the first derivative of -8*p - 4*p + 3*p**3 - 6*p**2 + 12 - 4*p**3. Factor l(z).
-3*(z + 2)**2
Let c(l) = -7*l**5 - 2*l**4 + 2*l**3 - 3*l**2 + 5. Let g(s) = s**5 + s**2 - 1. Suppose 0 = -b + 37 - 16. Let a = b - 16. Let y(q) = a*g(q) + c(q). Factor y(t).
-2*t**2*(t - 1)*(t + 1)**2
Let m(q) = -46*q**4 - 14*q**3 + 12*q**2. Let t(k) = -15*k**4 - 5*k**3 + 4*k**2. Let i(s) = 3*m(s) - 10*t(s). Let i(o) = 0. Calculate o.
-1, 0, 1/3
Let d = 4258 + -4256. Let 1 - 3/2*s + 1/2*s**d = 0. Calculate s.
1, 2
Let c(r) be the third derivative of r**8/14280 - r**7/3570 - r**6/612 + r**5/170 + 2*r**3 - 15*r**2. Let y(v) be the first derivative of c(v). Factor y(w).
2*w*(w - 3)*(w - 1)*(w + 2)/17
Let x(m) be the first derivative of 0*m + 1/10*m**4 + 1/15*m**3 - 1/10*m**2 + 12. Solve x(y) = 0 for y.
-1, 0, 1/2
Let n be 1317/(-63) + 13 - -8. Suppose 0*v - n + 2/21*v**2 = 0. What is v?
-1, 1
Factor 1/3*g**2 + 0 + 2/3*g**3 + 1/3*g**4 + 0*g.
g**2*(g + 1)**2/3
Let d = 4047 - 4043. Factor -1/6*h**d + 1/3*h + 1/6 - 1/3*h**3 + 0*h**2.
-(h - 1)*(h + 1)**3/6
Suppose -32*v = -26*v - 120. Suppose -3*p + v - 14 = l, -2*p = 3*l - 4. Suppose 2/5*s**4 + 6/5*s**3 - 2/5*s**p + 0 - 6/5*s = 0. Calculate s.
-3, -1, 0, 1
Let d(n) be the second derivative of -n**6/480 + n**5/120 - n**4/96 - 4*n**2 - 16*n. Let k(l) be the first derivative of d(l). Factor k(o).
-o*(o - 1)**2/4
Let g(p) be the second derivative of p**8/26880 + p**7/3360 - p**6/720 + 11*p**4/6 - 19*p. Let j(m) be the third derivative of g(m). Solve j(x) = 0 for x.
-4, 0, 1
Let o be (-4410)/(-2457) + (-18)/39. Determine f, given that 2/3 + o*f + 2/3*f**2 = 0.
-1
Let z(a) be the third derivative of a**9/151200 + a**8/16800 + a**7/6300 - a**5/30 - 2*a**2. Let b(h) be the third derivative of z(h). Factor b(n).
2*n*(n + 1)*(n + 2)/5
Let h = -6371 + 44599/7. Determine a so that 18/7*a - h*a**2 - 16/7 = 0.
1, 8
Let q(b) be the second derivative of -b**6/60 + b**5/40 + 13*b**4/24 - 25*b**3/12 + 3*b**2 - 2*b - 30. Let q(p) = 0. Calculate p.
-4, 1, 3
Let m = 5 - 2. Suppose -m*v + 26 = -154. Factor 5*w**2 - 33*w**3 - 12 - 38*w**2 + v*w - 72*w**3.
-3*(w + 1)*(5*w - 2)*(7*w - 2)
Suppose -6*p = 30, -28*m + p = -23*m - 15. Determine n so that -3/8*n + 1/8*n**m - 1/2 = 0.
-1, 4
Let q(z) be the first derivative of -5*z**2 + 5*z + 5/3*z**3 - 10. Factor q(k).
5*(k - 1)**2
Let r be (1/1)/(4/(-188)). Let a = r - -49. Solve 0 + 0*q + 2/5*q**3 - 2/5*q**a = 0 for q.
0, 1
Let h(m) be the second derivative of -1/4*m**4 + 8*m - 1/30*m**6 - 2/3*m**3 + 1/5*m**5 + 2*m**2 + 0. Factor h(z).
-(z - 2)**2*(z - 1)*(z + 1)
Let l(o) be the second derivative of -4/75*o**6 + 7*o + 0*o**2 + 2/25*o**5 + 2/15*o**3 + 0 + 7/30*o**4. Let l(q) = 0. Calculate q.
-1/2, 0, 2
Suppose -6*y + 16 + 14 = 0. Suppose y*o + 4*r - 9 = 1, -4*o - 2*r = -8. Let 6*j - 1 + 1 + 9*j**o - 5 + 2 = 0. Calculate j.
-1, 1/3
Let c be 0*((-3)/(-18) + (-5)/(-15)). Find p such that 2/5*p**2 - 2/5 + c*p = 0.
-1, 1
Let i(u) be the first derivative of u**4/12 - 7*u**3/3 + 13*u**2/2 - 19*u/3 - 134. Factor i(q).
(q - 19)*(q - 1)**2/3
Let p be (84/(-66))/7*165/(-135). Solve p*c**2 - 2/9*c**3 + 4/9*c + 0 = 0 for c.
-1, 0, 2
Let w = -4381 + 4385. Determine l, given that 3/5 + 3/5*l**w + 18/5*l**2 + 12/5*l**3 + 12/5*l = 0.
-1
Suppose -1203*a = -1189*a - 42. Determine u so that -1/2*u**a + 0 - 1/2*u**2 + 1/2*u**4 + 1/2*u = 0.
-