/5*g**q = 0.
-2, 0
Let w(c) be the second derivative of 1/14*c**7 + 0 - 7/10*c**6 + 2*c + 0*c**2 - 5*c**4 + 4*c**3 + 27/10*c**5. Let w(n) = 0. What is n?
0, 1, 2
Let p(g) be the first derivative of -g**6/6 + 34*g**5/5 - 99*g**4 + 1694*g**3/3 - 1331*g**2/2 + 119. Solve p(b) = 0 for b.
0, 1, 11
Let l(a) be the first derivative of -2*a**5/5 - a**4/9 - 93. Suppose l(o) = 0. Calculate o.
-2/9, 0
Factor 0*s**2 - 168 + 11*s + 42*s + 3*s**2 + 28*s + 84*s.
3*(s - 1)*(s + 56)
Let q = -34 + 9. Let j = q - -38. Factor -3*s**3 - j*s + 2 - s**3 + 9*s**2 + 2*s + 4*s**2.
-(s - 2)*(s - 1)*(4*s - 1)
Let u = 60827 + -304131/5. Let 0*j - 6/5*j**3 + u*j**4 + 0 + 2/5*j**2 = 0. Calculate j.
0, 1/2, 1
Let u(p) = 4*p**4 - 35*p**3 - 51*p**2 + 1443*p - 3. Let r(g) = -10*g**4 + 69*g**3 + 103*g**2 - 2887*g + 7. Let n(h) = 3*r(h) + 7*u(h). Factor n(c).
-2*c*(c - 5)*(c + 12)**2
Let l be (748/308 + 12/21)/6. Suppose 0*o - o**4 - l*o**3 + 0*o**2 + 0 = 0. What is o?
-1/2, 0
Let j(k) = -30*k - 418. Let y be j(-14). Find p such that 3*p + 0 + 9/2*p**y + 3/2*p**3 = 0.
-2, -1, 0
Let y(z) = -21*z**2 + 237*z - 648. Let c(t) = 6*t**2 - 68*t + 185. Let i(m) = -18*c(m) - 5*y(m). Let i(l) = 0. Calculate l.
3, 10
Let y(d) be the first derivative of 1/3*d**2 - 1/6*d**4 + 1/9*d**3 + 7 - 1/15*d**5 + 0*d. Suppose y(n) = 0. What is n?
-2, -1, 0, 1
Let w(d) = -14 - 4*d**2 - 4*d**2 + 6*d**2 + 6*d + 3*d**2. Let t be w(-8). What is c in -6*c**4 + 8*c**4 - c**3 + c**3 + t*c**5 = 0?
-1, 0
Let v = -261/26 + 20/13. Let k = v - -10. Factor k - i - 1/2*i**2.
-(i - 1)*(i + 3)/2
Suppose 1 = -4*l - 3*p, 5*l - 3*l + 4*p = 2. Let m(z) = z + 1. Let x(t) = -t**2 - 4*t - 3. Let h(g) = l*x(g) - 5*m(g). Factor h(k).
(k - 2)*(k + 1)
Let p(b) be the third derivative of 39*b**5/20 - 19*b**4/8 + b**3 - 7*b**2 - 14*b. Factor p(q).
3*(3*q - 1)*(13*q - 2)
Let y = -5785/3 - -1929. Factor 5/3*d + 1/3*d**3 - 4/3*d**2 - y.
(d - 2)*(d - 1)**2/3
Let c(m) be the third derivative of m**8/336 + m**7/56 - 17*m**3/6 - 26*m**2. Let j(k) be the first derivative of c(k). Factor j(v).
5*v**3*(v + 3)
Let q(l) = -l**2 + 514*l + 1044. Let a(z) = z**2 - 1029*z - 2089. Let i(u) = 4*a(u) + 9*q(u). Factor i(p).
-5*(p - 104)*(p + 2)
Let n(y) be the first derivative of -5*y**6/2 - 7*y**5 + 5*y**4/4 + 35*y**3/3 + 5*y**2 - 65. Let n(j) = 0. Calculate j.
-2, -1, -1/3, 0, 1
Let m(r) = -r**3 + r**2 - r. Let s(k) = -k**2 - 11*k - 7. Let n be s(-10). Let h(d) = -d**3 - d**2 - d. Let q(u) = n*m(u) - h(u). Let q(v) = 0. Calculate v.
0, 1
Factor -280 + 82*h - 165*h + 5*h**2 + 133*h.
5*(h - 4)*(h + 14)
Factor -23/6*z**2 + 1/6*z**3 + 143/6*z - 121/6.
(z - 11)**2*(z - 1)/6
Let r be 4506/10 - (-16)/(-40). Let h = 452 - r. Determine w so that -h*w**4 + 0*w + 9/5*w**3 - 3/5*w**2 + 0 + 3/5*w**5 = 0.
0, 1
Let u(q) be the first derivative of -8*q + 0*q**2 + 0*q**3 + 0*q**4 + 1 + 0*q**5 + 1/63*q**7 + 2/45*q**6. Let r(c) be the first derivative of u(c). Factor r(j).
2*j**4*(j + 2)/3
Let i(q) be the first derivative of 25*q**3 - 195*q**2/2 + 507*q/4 - 416. Solve i(r) = 0.
13/10
Let m(f) be the first derivative of 128/5*f - 24/5*f**3 - 2/25*f**5 + 20 - 11/10*f**4 - 16/5*f**2. Determine j so that m(j) = 0.
-4, 1
Let c(v) = v**3 - 6*v - 1. Let j be c(-2). Let r(b) be the second derivative of -1/4*b**4 + 1/2*b**3 + j*b**2 + 0 + 4*b. Factor r(q).
-3*(q - 2)*(q + 1)
Let k be -1*2*(-14)/168. Let p(x) be the second derivative of -1/10*x**5 + 1/3*x**3 - k*x**4 + 0 + 4*x + x**2. Factor p(w).
-2*(w - 1)*(w + 1)**2
Let m be (-63)/(-84) + 7/(-4). Let w be (2/13)/m - 1113/(-2756). Let 0 + 0*o - 1/2*o**3 - w*o**4 - 1/4*o**2 = 0. Calculate o.
-1, 0
Let c = 3563 + -17723/5. Suppose -14/5*h**5 + 0 + 66/5*h**4 - c*h**3 + 16/5*h + 24/5*h**2 = 0. Calculate h.
-2/7, 0, 1, 2
Suppose -5 = 4*a - 2*d - 11, 3*a - 8 = -2*d. Let v(s) be the first derivative of 25*s**3 - 65/2*s**a + s**5 + 20*s - 9 - 35/4*s**4. Factor v(u).
5*(u - 4)*(u - 1)**3
Suppose -2*b = 3*p - 13, -4*b - p + 71 = 60. Let -4/5*n + 2/5*n**5 + 0 + 2/5*n**3 + 6/5*n**4 - 6/5*n**b = 0. What is n?
-2, -1, 0, 1
Find r such that 4/3*r**5 - 4*r**4 + 0 + 0*r + 4*r**2 - 4/3*r**3 = 0.
-1, 0, 1, 3
Let k(r) = 20*r**2 + 55*r - 90. Let m(h) = -3*h**2 - 8*h + 13. Suppose 0 = -12*a + 11*a + 15. Let s(t) = a*m(t) + 2*k(t). Factor s(v).
-5*(v - 1)*(v + 3)
Suppose 36 = -4*q - 16. Let x = -11 - q. Solve -2*g**3 + 3*g - x*g**3 - 3*g**2 + 3*g + g**3 = 0 for g.
-2, 0, 1
Let n(p) = 42*p - 334. Let z be n(8). Suppose -1/4*b**z + 0*b + 0 = 0. Calculate b.
0
Let x(z) = 5*z**3 + 71*z**2 + 236*z + 222. Let c(y) = 10*y**3 + 140*y**2 + 470*y + 445. Let b(p) = -2*c(p) + 5*x(p). Find t, given that b(t) = 0.
-11, -2
Let a(r) be the first derivative of -r**7/189 + r**6/135 + r**5/90 - r**4/54 - 5*r + 11. Let k(y) be the first derivative of a(y). What is j in k(j) = 0?
-1, 0, 1
Let i = 9319/9 - 1035. Let -10/9*o**2 + 0 + 10/9*o**4 - i*o + 4/9*o**3 = 0. What is o?
-1, -2/5, 0, 1
Let t(g) be the second derivative of g**4/6 + 4*g**3/3 - 12*g**2 - 79*g + 1. Suppose t(c) = 0. Calculate c.
-6, 2
Let u(k) be the third derivative of 169*k**5/300 - 39*k**4/5 + 216*k**3/5 - 24*k**2 - 3*k. Solve u(o) = 0 for o.
36/13
Suppose 5*q + 33 = -k + q, 4*k = -q + 3. Solve -6/7 + 1/7*b**k - 8/7*b**2 + 13/7*b = 0.
1, 6
Let -4/11*r - 4/11*r**3 + 10/11*r**2 + 0 = 0. What is r?
0, 1/2, 2
Let s(k) = -5*k**2 - 9*k - 21. Let w(v) = 3*v**2 + 5*v + 3. Let u(n) = -8*n**2 - 14*n - 8. Let l(m) = 4*u(m) + 11*w(m). Let d(j) = 3*l(j) + s(j). Factor d(o).
-2*(o + 3)**2
Let t = 9 - 12. Let g be t*(-5)/(-17) + 1. Factor -6/17*q**3 - g*q**4 - 6/17*q**2 - 2/17*q + 0.
-2*q*(q + 1)**3/17
Suppose -32 = 6*m + 52. Let k be (-6)/m - (-6)/(-14). Find b, given that k + 1/2*b**4 - b**3 + 0*b + 1/2*b**2 = 0.
0, 1
Let y(q) be the first derivative of -q**4/2 - 238*q**3/3 - 3599*q**2 - 6962*q - 560. Factor y(c).
-2*(c + 1)*(c + 59)**2
Let a(g) be the third derivative of g**5/40 - 14*g**4 + 3136*g**3 - g**2 + 50. Determine p, given that a(p) = 0.
112
Let g(z) be the second derivative of -2*z**5/15 + z**4/3 - 2*z**2/3 - 2*z + 17. Determine j so that g(j) = 0.
-1/2, 1
Let f(u) be the third derivative of -u**6/40 - 21*u**5/20 - 99*u**4/8 + 121*u**3/2 - 42*u**2 + 1. Solve f(b) = 0 for b.
-11, 1
Suppose a = w - 4 + 14, -5*a + 3*w + 46 = 0. Let m(y) be the first derivative of 0*y + 4/15*y**3 + 0*y**2 + a - 1/2*y**4. Factor m(v).
-2*v**2*(5*v - 2)/5
Let l be (-2)/(2/3) - -119. Let o = l - 80. What is n in -20*n**3 - 54*n**3 + 4 - o*n - 50*n**3 - 51*n**2 + 48*n**4 + 159*n**2 = 0?
1/4, 1/3, 1
Let v(a) = a + 1. Let j(q) = -3*q - 4. Let u(f) = -j(f) - 4*v(f). Let l(h) = 2*h**2 - 57*h + 19*h + 23*h - 7*h**2. Let x(p) = l(p) - 25*u(p). Factor x(s).
-5*s*(s - 2)
Let p = 44/795 + 3/265. Let m(t) be the second derivative of 0*t**5 + 1/42*t**7 - p*t**6 - 11*t + 1/6*t**4 + 0*t**2 - 1/6*t**3 + 0. Factor m(c).
c*(c - 1)**3*(c + 1)
Let x(c) = 2*c**4 - c**3. Let p(w) = -7*w**4 + 20*w**3. Let g(t) = p(t) + 5*x(t). Factor g(i).
3*i**3*(i + 5)
Find t, given that 56*t**3 + 34*t + 30*t**4 + 50*t**2 - 82*t - 52*t**4 - 60*t + 24*t**4 = 0.
-27, -2, 0, 1
Let x(n) be the first derivative of 5 + 1/390*n**5 - 1/2*n**2 + 0*n**4 + 0*n - 1/39*n**3. Let q(l) be the second derivative of x(l). Factor q(d).
2*(d - 1)*(d + 1)/13
Let k be ((-7)/(420/(-2)))/((-2)/(-5)). Let c(m) be the first derivative of k*m**3 - 1/2*m**2 + m + 5. Factor c(q).
(q - 2)**2/4
Let b(p) be the third derivative of p**5/30 - 6*p**4 + 432*p**3 + 121*p**2. Factor b(k).
2*(k - 36)**2
Let w(k) be the first derivative of 2*k**6/3 + 8*k**5/5 - 4*k**4 - 8*k**3/3 + 6*k**2 - 5. Determine s, given that w(s) = 0.
-3, -1, 0, 1
Let g(a) be the first derivative of 2*a**5/45 + a**4/9 - 22*a**3/27 - 4*a**2/3 + 8*a + 15. Let g(t) = 0. What is t?
-3, 2
Let o(y) be the third derivative of -y**5/330 + 9*y**4/44 - 26*y**3/33 - 97*y**2 + 2*y. Determine z, given that o(z) = 0.
1, 26
Let u(w) be the first derivative of 4/9*w**2 + 4/45*w**5 + 1/3*w**4 - 13 - 20/27*w**3 + 0*w - 2/27*w**6. Solve u(x) = 0 for x.
-2, 0, 1
Let l be 0 - -4 - (550/40 + -10). Let o(r) be the second derivative of -3/20*r**5 + 1/2*r**3 + 0*r**2 - 1/10*r**6 + l*r**4 + 5*r + 0. Factor o(c).
-3*c*(c - 1)*(c + 1)**2
Solve 4/5*m**2 - 1104/5*m + 76176/5 = 0 for m.
138
Let y(b) = 2*b - 26. Let g(w) = 2*w**3 + 16*w**2 + 13. Let a be 