ind w such that y(w) = 0.
-1, 1
Let j(n) = -2*n**4 + 174*n**3 + 576*n**2 + 568*n + 192. Let c(w) = -2*w**3 + w**2 - w. Let l(a) = 6*c(a) - j(a). Find i, given that l(i) = 0.
-1, 96
Let l(z) = -3*z**2 - 6*z + 1. Let c(h) = 12*h**2 + 24*h - 6. Suppose -3*t = -3*m, 3*m + 0*t = -3*t - 24. Let u(j) = m*c(j) - 15*l(j). Solve u(y) = 0.
-3, 1
Let b(z) be the first derivative of 0*z - 1/32*z**4 + 0*z**3 - 6 + 2*z**2 - 1/160*z**6 - 1/40*z**5. Let x(u) be the second derivative of b(u). Factor x(y).
-3*y*(y + 1)**2/4
Let y(u) be the first derivative of -3/5*u**5 - 3/4*u**2 + u**3 + 1/4*u**6 - 10 + 0*u**4 + 0*u. Factor y(c).
3*c*(c - 1)**3*(c + 1)/2
Let a(d) be the first derivative of d**5/35 - 13*d**4/28 - 46*d**3/21 - 16*d**2/7 + 298. Factor a(v).
v*(v - 16)*(v + 1)*(v + 2)/7
Let v(x) = x + 1. Let h(f) = f**2 + 7*f + 4. Let t(j) = 5*h(j) - 30*v(j). Find q, given that t(q) = 0.
-2, 1
Let r(g) = 10*g**2 - 15*g - 40. Suppose -2*w = 4*w + 90. Let t(p) = p**2 + p - 1. Let f(b) = w*t(b) + r(b). Suppose f(x) = 0. Calculate x.
-5, -1
Let c be (-9)/5*(7 - -3)*4/(-192). Factor c*t**4 + 0 + 1/2*t - t**2 + 1/8*t**3.
t*(t - 1)*(t + 2)*(3*t - 2)/8
Let i be 1298/354*(-10)/(-55). Let 4*b**3 + 0*b - i*b**4 - 10/3*b**2 + 0 = 0. Calculate b.
0, 1, 5
Suppose 14*t - 28 = -0*t. Find q, given that -20 - 25*q + 68 + 9*q - 4*q**t = 0.
-6, 2
Suppose 0 = -18*p + 8 + 154. Let g(m) be the second derivative of p*m + 5/2*m**3 - 1/2*m**4 + 0 - 3*m**2. Factor g(u).
-3*(u - 2)*(2*u - 1)
Let a = -40 + 40. Let d be (22/(-77))/((-10)/28). Solve 0*u**3 + a - 2/5*u + 2/5*u**5 - d*u**2 + 4/5*u**4 = 0 for u.
-1, 0, 1
Let k(n) be the second derivative of 1/70*n**5 + 1/14*n**4 + 1/7*n**2 + 4*n + 1/7*n**3 + 0. Solve k(i) = 0 for i.
-1
Factor -1/2*j**3 + j + 0 + 1/2*j**2.
-j*(j - 2)*(j + 1)/2
Let j(c) be the first derivative of c**3/15 - c**2/2 - 10*c + 641. Solve j(r) = 0.
-5, 10
Suppose 3*x - 2*x = n, -2*n = -4*x - 2. Let d be 15/10 + ((-21)/10)/n. Suppose -12/5*v - 2/5*v**2 - d = 0. Calculate v.
-3
Let c(n) be the first derivative of -20 + 0*n**4 + 0*n + 0*n**3 + 0*n**2 - 1/45*n**6 + 2/75*n**5. Determine m so that c(m) = 0.
0, 1
Suppose 7*w + 7*w - 7*w = 0. Factor 0 - 2/7*i**2 + w*i.
-2*i**2/7
Let w be -4 - (-18075)/(-1500)*1/(-3). Let l(q) be the third derivative of 1/120*q**6 + 1/6*q**3 + 0 + 12*q**2 - 1/24*q**4 - w*q**5 + 0*q. Factor l(z).
(z - 1)**2*(z + 1)
Let b(u) = -u + 2. Let a be b(-5). Suppose 7*f + f - a*f + f**2 = 0. Calculate f.
-1, 0
Suppose -3*s - 418 = -430. Let g(u) be the third derivative of 0*u + 1/42*u**s + u**2 + 4/21*u**3 + 0 - 1/105*u**5. Factor g(x).
-4*(x - 2)*(x + 1)/7
Let f(y) = -14*y**3 - 36*y**2 - 80*y - 40. Let w(c) = -5*c**3 - 12*c**2 - 27*c - 13. Let q(v) = 3*f(v) - 8*w(v). Suppose q(g) = 0. What is g?
-2
Let u(c) = 2*c**4 - 4*c**3 - 22*c**2 + 29*c + 67. Let f(q) be the first derivative of q**2/2 - q + 3. Let s(p) = 10*f(p) - 2*u(p). Solve s(a) = 0.
-2, 3
Let b be (-4 + 27/6)*12. Let r be 1 - ((-3)/(-1) - 16/b). Determine k, given that 7/3*k**2 + 0 - r*k = 0.
0, 2/7
Let c(w) be the second derivative of -1/35*w**5 + 2/7*w**4 + 1/147*w**7 + 0*w**2 - 1/35*w**6 - 9*w + 0 - 8/21*w**3. Let c(m) = 0. What is m?
-2, 0, 1, 2
Let i(g) be the second derivative of g**5/45 + 16*g**4/27 + 10*g**3/9 + 63*g + 1. Find d such that i(d) = 0.
-15, -1, 0
Let a(o) be the first derivative of 0*o - o**4 - 4/3*o**3 + 0*o**2 + 18. Suppose a(l) = 0. What is l?
-1, 0
Let p(u) be the third derivative of u**5/90 + 4*u**4/9 + 13*u**3/3 - 6*u**2 - 3. Factor p(j).
2*(j + 3)*(j + 13)/3
Let k = -16530 - -48902/3. Let g = k - -230. Factor -2/3*b**2 + g + 2/9*b**3 - 2/9*b.
2*(b - 3)*(b - 1)*(b + 1)/9
Suppose 811*s + 36 = 823*s. Find d, given that 0*d - 14/15*d**s - 2/15*d**5 + 2/3*d**4 + 2/5*d**2 + 0 = 0.
0, 1, 3
Let z(d) be the third derivative of -1/30*d**5 + 4/27*d**3 + 1/9*d**4 - 5*d**2 + 0*d + 0 - 7/540*d**6. Factor z(k).
-2*(k - 1)*(k + 2)*(7*k + 2)/9
Let b(p) be the first derivative of p**7/168 - p**6/60 - 3*p**5/80 + 16*p + 1. Let o(h) be the first derivative of b(h). Determine g, given that o(g) = 0.
-1, 0, 3
Let y(c) be the third derivative of -5*c**8/1008 + c**7/63 + c**6/4 + 8*c**5/9 + 115*c**4/72 + 5*c**3/3 - 122*c**2. Factor y(j).
-5*(j - 6)*(j + 1)**4/3
Factor 0 - 2/13*p**2 + 6/13*p.
-2*p*(p - 3)/13
Let f(v) be the first derivative of 3*v**4/16 + v**3/2 + 114. Factor f(q).
3*q**2*(q + 2)/4
Let h(n) be the second derivative of 19*n - 1/6*n**6 - 5/2*n**3 + 0*n**2 + 0 - 35/12*n**4 - 5/4*n**5. Solve h(f) = 0.
-3, -1, 0
Let w = -30857/3 + 10291. Suppose w*b - 2/3*b**2 - 32/3 = 0. What is b?
4
Let q(g) be the first derivative of g**6/720 + g**5/80 - g**3 - 2. Let x(r) be the third derivative of q(r). Factor x(i).
i*(i + 3)/2
Let g(l) be the third derivative of 0 + 1/80*l**5 + 0*l**3 - 1/32*l**4 + 1/160*l**6 + 34*l**2 + 0*l - 1/280*l**7. Factor g(v).
-3*v*(v - 1)**2*(v + 1)/4
Let x = -13 + 16. Suppose x*q - 4*r = r - 6, 4*q = r + 9. Factor 5*m**3 - m**2 - 4*m**q + 15*m - 17*m.
m*(m - 2)*(m + 1)
Let c(v) be the second derivative of -v**4/18 - 4*v**3 + 37*v**2/3 + 2*v - 20. What is t in c(t) = 0?
-37, 1
Let d(w) = -6*w**4 - 3*w**3 + 3*w. Let h(u) = 7*u**4 + 2*u**3 - u**2 - 4*u. Let m = -73 + 76. Let c be 11/3 - (-3)/9. Let s(l) = c*d(l) + m*h(l). Factor s(r).
-3*r**2*(r + 1)**2
Let l(f) be the second derivative of f**6/270 - f**5/10 + 3*f**4/4 - 34*f - 2. Factor l(z).
z**2*(z - 9)**2/9
Let f be (-1)/(-4)*(4 - (-55)/(-15)). Let h(r) be the second derivative of 1/8*r**2 - f*r**3 + 0 - 8*r + 1/48*r**4. Solve h(q) = 0.
1
Let f be ((-3)/(-6))/((-14)/(-24)). Suppose -531*a + 1782 = 360*a. Factor 0*i**a - 2/7*i**3 - 4/7 + f*i.
-2*(i - 1)**2*(i + 2)/7
Let t(l) be the third derivative of -7/12*l**6 + 0*l**3 + 15*l**2 + 1/12*l**5 + 5/12*l**4 + 0 - 19/42*l**7 - 5/56*l**8 + 0*l. Find o such that t(o) = 0.
-2, -1, -1/2, 0, 1/3
Suppose 17 = -v + 15. Let s(t) = 6*t**2 + 10*t + 10. Let o(n) = -n**2 + n - 1. Let h(g) = v*o(g) - s(g). Factor h(k).
-4*(k + 1)*(k + 2)
Let x(r) be the first derivative of 7*r**5/45 - r**4/4 + 2*r**3/27 - 1022. Determine o, given that x(o) = 0.
0, 2/7, 1
Let m be ((-32)/40)/((-2)/5). Let f(s) be the first derivative of -5 + 4*s**3 + 8*s**m - 12*s - 4*s**4 + 4 + 0. Let f(y) = 0. Calculate y.
-1, 3/4, 1
Let c = 427 + -4695/11. Determine d, given that -32/11 - 16/11*d - c*d**2 = 0.
-4
Let b = 414 - 411. Let r(u) be the third derivative of 0*u - 1/60*u**6 + 0*u**5 + 0*u**3 + b*u**2 + 0 + 0*u**4. Determine a, given that r(a) = 0.
0
Let d(k) be the second derivative of -k**5/70 + k**4/21 + 29*k**3/21 + 6*k**2 + 3*k - 60. Let d(n) = 0. What is n?
-3, -2, 7
Factor 297754/9*q**3 + 424/3*q + 11236/3*q**2 + 16/9.
2*(53*q + 2)**3/9
Let b(a) be the third derivative of -a**7/210 - a**6/15 - 7*a**5/20 - 3*a**4/4 - 66*a**2. Factor b(l).
-l*(l + 2)*(l + 3)**2
Let f = -1732 - -19056/11. What is c in -4/11*c**3 - 16/11*c**2 - f + 2/11*c**5 - 14/11*c + 4/11*c**4 = 0?
-1, 2
Factor -8*r**4 - 9*r**4 + 23*r**4 + 3*r**4 + 5*r**3 - 10*r**4 + 6*r**2.
-r**2*(r - 6)*(r + 1)
Let v(a) be the third derivative of a**8/6720 - a**7/3360 - a**6/1440 + a**5/480 + 4*a**3 + 9*a**2. Let r(w) be the first derivative of v(w). Factor r(i).
i*(i - 1)**2*(i + 1)/4
Suppose 461*x - 465*x + 2*x**5 + 6*x**4 - 2*x**2 - 4*x**2 + 2*x**3 = 0. Calculate x.
-2, -1, 0, 1
Let n(q) be the first derivative of q**4/54 - 2*q**3/27 - 6*q - 3. Let m(y) be the first derivative of n(y). Determine u so that m(u) = 0.
0, 2
Determine m so that -133*m**2 - 138*m**2 + 11*m**5 + 699*m**3 + 119*m**2 - 212*m**2 + 14*m**5 - 420*m**4 + 60*m = 0.
0, 2/5, 1, 15
Let 1/4*v**3 + 25/4*v**2 + 30 + 53/2*v = 0. Calculate v.
-20, -3, -2
Let 0 - 4/9*k**2 + 0*k - 38/9*k**3 = 0. What is k?
-2/19, 0
Let t(s) be the second derivative of -5*s**7/168 + s**6/8 - 9*s**5/40 - 13*s**4/12 + 36*s. Let p(c) be the third derivative of t(c). Factor p(b).
-3*(5*b - 3)**2
Let a(f) be the first derivative of -f**6/2340 + f**4/156 + 23*f**3/3 + 29. Let d(g) be the third derivative of a(g). Solve d(h) = 0 for h.
-1, 1
Suppose -3*g - 5*t = -80, -2*g + 4*t = t - 85. Let d = g + 40. Factor -14*s - 28*s + 12*s + 3*s**2 + d.
3*(s - 5)**2
Let w = 46428/4735 + -5/947. Factor -1/5*p**2 - w + 14/5*p.
-(p - 7)**2/5
Let 0 - 6*h**3 - 70/11*h**2 + 2/11*h**5 - 24/11*h - 18/11*h**4 = 0. What is h?