tive of -8/315*c**7 - 12*c**2 + 0*c**3 - 5/756*c**8 - 2/135*c**5 - 1/30*c**6 + 0*c**4 + 0 + 0*c. Determine r so that s(r) = 0.
-1, -2/5, 0
Let f(n) = n**4 - 4*n**2 - 2*n + 1. Let q = 6 + 2. Let d(a) = 3*a**2 - 2*a**4 + 5*a + 2*a + q*a**2 - 2. Let j(g) = -2*d(g) - 7*f(g). Factor j(b).
-3*(b - 1)**2*(b + 1)**2
Let h(v) = 3*v**3 + 63*v**2 - 75*v + 9. Let u(z) = -z**3 - 16*z**2 + 19*z - 2. Let k(s) = -4*h(s) - 15*u(s). What is p in k(p) = 0?
1, 2
Let b(q) = -14*q**2 + 26. Let z(r) = -3*r**2 - 2*r + 1. Let c(y) = b(y) - 5*z(y). Factor c(k).
(k + 3)*(k + 7)
Let g(t) be the second derivative of 5*t**7/42 + 4*t**6/3 - 8*t**5 + 35*t**4/6 + 155*t**3/6 - 55*t**2 - 2*t + 59. Find w such that g(w) = 0.
-11, -1, 1, 2
Let z(u) be the third derivative of -u**6/660 - 32*u**5/165 - 125*u**4/132 - 62*u**3/33 - 422*u**2. Factor z(n).
-2*(n + 1)**2*(n + 62)/11
Let w be 20/(0 - 4/(-1)). Let l(t) be the first derivative of -1/30*t**4 - 8/75*t**w - 9 + 0*t + 0*t**3 + 0*t**2 - 1/15*t**6. Factor l(i).
-2*i**3*(i + 1)*(3*i + 1)/15
Let t(h) be the first derivative of h**4/9 - 40*h**3/27 + 64*h**2/9 - 128*h/9 - 56. Factor t(f).
4*(f - 4)**2*(f - 2)/9
Let k = 8 + -4. Suppose k = -3*s + a, 5*s + 0*a = 2*a - 8. Let -97*l + s*l**3 - 6*l**2 + 6*l**4 + 93*l + 2*l**5 + 2*l**3 = 0. What is l?
-2, -1, 0, 1
Let k be (-18)/21*(-14)/3. Suppose k*z - 5*n - 22 = 0, -2*n - 8 = 2*n. Factor 15*o**z + 3*o**2 + 9*o**2 + 20*o + 8 - 19*o**3 - 4*o**4.
-4*(o - 2)*(o + 1)**3
Let a(h) = h**2 + 3*h + 4. Let l be a(-4). Suppose -5*j + 88 - l = 0. Find n such that -j*n + 25*n - 11*n - 2*n**4 - 2*n**3 + 5*n**2 + n**3 = 0.
-2, 0, 1/2, 1
Let g(j) be the second derivative of -j**6/30 + 2*j**5/15 + 11*j**2 - 5*j. Let r(a) be the first derivative of g(a). Find m, given that r(m) = 0.
0, 2
Let m(l) be the first derivative of l**4/4 + l**3/3 + l**2/2 - l + 4. Let p(u) = -u**3 - 12*u**2 + 15*u - 6. Let d(k) = 2*m(k) + p(k). Factor d(z).
(z - 8)*(z - 1)**2
Factor 9*f - 3*f**4 - 46*f**2 - 55*f + 0*f**4 + 16*f + f**4 - 18*f**3.
-2*f*(f + 1)*(f + 3)*(f + 5)
Suppose 2*a + 18 = 2*z, 16 = -z - 4*a + 5. Factor 10*v**4 - 7/3*v**5 + 40/3*v**2 - z*v - 50/3*v**3 + 2/3.
-(v - 1)**4*(7*v - 2)/3
Let f(m) = -21*m**2 - 527*m - 47. Let q be f(-25). Determine a, given that -9/2*a**2 + 27/2*a + 0 + 3/8*a**q = 0.
0, 6
Let h(o) be the first derivative of 13 + 2/33*o**3 + 4/11*o**2 + 6/11*o. Factor h(f).
2*(f + 1)*(f + 3)/11
Let q(n) = -n**4 + 2*n**3 + n**2 - n - 1. Let x(d) = 4*d**5 + 64*d**4 + 244*d**3 + 192*d**2 + 4*d + 4. Let z(y) = -4*q(y) - x(y). Determine o so that z(o) = 0.
-7, -1, 0
Let v(z) be the second derivative of -1/36*z**4 - 1/18*z**3 + z**2 + 20*z + 0. Factor v(k).
-(k - 2)*(k + 3)/3
Factor -42*h + 212/5 - 2/5*h**2.
-2*(h - 1)*(h + 106)/5
Let u = 22 - 20. Suppose u*h = s - 0 + 1, -1 = 3*s - 5*h. Factor 3*n**s - 2*n**3 - 8*n + 7*n.
n*(n - 1)*(n + 1)
Let j = -33625 + 134505/4. Let k be 2/6 + 1/(-12). Find c such that -3/4*c**2 + 1/4*c**4 - 1/2 + j*c - k*c**3 = 0.
-2, 1
Let b = 210 + -203. Suppose -b = -2*x - 3. Factor -2/3*j**x + 0 - 1/3*j**4 - 1/6*j - 5/6*j**3.
-j*(j + 1)**2*(2*j + 1)/6
Let o(t) be the third derivative of 0*t - 1/1365*t**7 + 0*t**4 - 4*t**2 + 0*t**3 - 3/130*t**5 + 1/130*t**6 + 0. Factor o(j).
-2*j**2*(j - 3)**2/13
Let 16/9 + 2/9*u**3 - 16/9*u**2 - 2/9*u = 0. Calculate u.
-1, 1, 8
Let c(q) be the third derivative of -1/10*q**6 + 0*q - 3/20*q**5 - 1/42*q**7 - 29*q**2 - 1/12*q**4 + 0 + 0*q**3. Factor c(i).
-i*(i + 1)**2*(5*i + 2)
Let w = -136 + 26. Let b = -106 - w. Factor -6*o**3 + 1/4 + b*o**4 + 1/4*o**2 + 3/2*o.
(o - 1)**2*(4*o + 1)**2/4
Let o = 4747/4 - 1186. Factor 0*s**2 + 0*s + 0*s**3 + 0 - o*s**5 - 3/4*s**4.
-3*s**4*(s + 1)/4
Factor -300*c - 2000 - 1/4*c**3 - 15*c**2.
-(c + 20)**3/4
Let 32 - 4*t**5 + 68*t - 28*t**4 - 9*t - 52*t**3 - 3*t - 4*t**2 = 0. What is t?
-4, -2, -1, 1
Let i(g) be the second derivative of g**7/168 + g**6/30 + 3*g**5/40 + 13*g**4/12 + 3*g. Let m(r) be the third derivative of i(r). Determine v so that m(v) = 0.
-1, -3/5
Solve 22*h**3 - 35*h**2 + 2*h - 5*h**4 + 13*h**3 - 77*h = 0 for h.
-1, 0, 3, 5
Let m be ((-42)/(-28))/((-6)/(-20)) + -2. Factor -4/3*j**5 + 0 - 4/3*j**2 - 4*j**m - 4*j**4 + 0*j.
-4*j**2*(j + 1)**3/3
Let q be (4/20)/(215/25). Let z = q - -40/129. Let b + 2/3 + z*b**2 = 0. Calculate b.
-2, -1
Solve 4/5*a**4 - 144/5 + 0*a**3 + 48*a - 20*a**2 = 0 for a.
-6, 1, 2, 3
Let r(j) = -66*j + 144. Let b be r(2). Let c(n) be the first derivative of b*n + 8*n**2 + 4/3*n**3 - 6. Solve c(a) = 0.
-3, -1
Let p be (-114)/(-133)*(-210)/(-45). Let -48/5*u + 82/5*u**p - 24*u**5 + 132/5*u**3 - 38/5*u**2 - 8/5 = 0. What is u?
-2/3, -2/5, -1/4, 1
Let n be (-21)/(-7) + (-6)/3. Let x be -2*n + -2 + 9/2. Solve -x*y**2 - 1 - 3/2*y = 0 for y.
-2, -1
Let p(z) = -z**3 + 4*z**2 + 6*z + 6. Let j be p(5). Let c = j + -9. Factor -a**4 - 7*a**4 - a**c - 10*a**3 - a**2.
-2*a**2*(a + 1)*(4*a + 1)
Factor 0*d + 1/5*d**5 + 0 + 11/5*d**3 - 6/5*d**2 - 6/5*d**4.
d**2*(d - 3)*(d - 2)*(d - 1)/5
Let u(p) be the third derivative of -p**5/150 + p**4/15 + 16*p**2 - 3*p. Factor u(m).
-2*m*(m - 4)/5
Let b(h) be the third derivative of 0*h**4 + 1/420*h**5 - 1/840*h**6 - 1/1470*h**7 + 1/2352*h**8 + 0 + 0*h + 0*h**3 - 21*h**2. What is a in b(a) = 0?
-1, 0, 1
Let v(w) = -w**2 + 35*w + 128. Let z(p) be the second derivative of p**4/6 - 6*p**3 - 64*p**2 - 6*p. Let y(c) = -4*v(c) - 3*z(c). Solve y(o) = 0 for o.
-8
Let g(a) be the first derivative of -a**5/50 + a**4/30 + a**3/15 - a**2/5 + 15*a - 11. Let f(o) be the first derivative of g(o). Factor f(j).
-2*(j - 1)**2*(j + 1)/5
Let k(n) = -n**4 - 30*n**3 - 49*n**2 - 20*n + 4. Suppose -15 + 14 = x. Let b(j) = -j**4 + j**2 - 1. Let s(z) = x*k(z) - 4*b(z). Suppose s(c) = 0. What is c?
-4, -1, 0
Let o be (1189/203)/(-41)*14/(-9). Solve -14/9*m**2 + 4/9*m + 8/9*m**3 + o = 0 for m.
-1/4, 1
Let h be 8/24*(-1 + -2 + 18). Suppose 0 = 5*o - 2*x - 18, 6*x = 3*o + x - 7. Factor 3/4*z**o + 0 + 0*z**2 + 0*z + 0*z**3 + 3/4*z**h.
3*z**4*(z + 1)/4
Let x(l) be the second derivative of 13*l**5/10 + 4*l**4 + 3*l**3 - 2*l**2 - 146*l. Factor x(u).
2*(u + 1)**2*(13*u - 2)
Let w = -16 + 18. Determine k so that 16*k + 75*k**w - 6*k - 70*k**2 = 0.
-2, 0
Let x(a) be the third derivative of a**5/15 - 7*a**4/12 - 5*a**3/3 - 9*a**2. Let f(c) = c**2 - 5*c - 3. Let w(k) = 20*f(k) - 6*x(k). Factor w(l).
-4*l*(l + 4)
Let d(t) be the first derivative of 5*t**6/6 + 12*t**5/5 - 21*t**4/4 - 40*t**3/3 - 6*t**2 - 346. What is i in d(i) = 0?
-3, -1, -2/5, 0, 2
Let f = 0 + 4. Suppose -d = f, -d + 20 = a - 4*d. Factor -q**3 + 0 + 10*q**2 + 8*q + 3*q**3 + 8 + a*q.
2*(q + 1)*(q + 2)**2
What is r in -58*r**3 - 19*r**2 + 36 + 62*r**3 + 15*r**2 - 36*r = 0?
-3, 1, 3
Let h(a) be the first derivative of -3*a**5/5 + 3*a**4 + 18*a**3 + 30*a**2 + 21*a - 84. Let h(i) = 0. Calculate i.
-1, 7
Suppose -5*f + k = -f - 193, -5*f = -5*k - 245. Factor -9*l**2 + 20 - f*l**3 + 39*l - 15 - 11 + 12*l**4 - 6.
3*(l - 4)*(l + 1)*(2*l - 1)**2
Let h = -64 - 18. Let r = 82 + h. Factor 2*k**2 - 2/3*k**4 + r + 4/3*k + 0*k**3.
-2*k*(k - 2)*(k + 1)**2/3
Solve 16*j**5 + 2567*j**2 + 340 + 2321*j**2 + 2752*j**3 + 600*j**4 + 2992*j + 144 - 212*j**4 = 0.
-11, -1, -1/4
Let m(k) be the first derivative of 1/15*k**3 - 1/30*k**4 + 0*k**2 + k - 9. Let z(h) be the first derivative of m(h). Find b such that z(b) = 0.
0, 1
Let u(h) be the second derivative of 5*h**8/84 - 2*h**7/21 - h**6/8 + h**5/6 + 5*h**4/24 + 4*h**2 - 9*h. Let y(v) be the first derivative of u(v). Factor y(d).
5*d*(d - 1)**2*(2*d + 1)**2
Let c(j) be the third derivative of -j**8/1512 - j**7/945 + j**6/135 + 2*j**5/135 - 28*j**2 - 4*j. Find b such that c(b) = 0.
-2, -1, 0, 2
Let z(y) be the second derivative of -21*y**5/20 - 9*y**4/4 - y**3 + 5*y + 2. Solve z(k) = 0 for k.
-1, -2/7, 0
Find c such that 138/11*c**3 - 6/11*c**5 - 60/11*c**4 + 0*c - 72/11*c**2 + 0 = 0.
-12, 0, 1
Let h = -19 + 21. Suppose 24*s**3 - 28*s**3 - 9*s**2 - 3*s**h = 0. Calculate s.
-3, 0
Let r(d) = 3*d**3 - 21*d**2 - 26*d - 4. Let y(p) = -16*p**3 + 103*p**2 + 130*p + 22. Let z(a) = 11*r(a) + 2*y(a). Suppose z(k) = 0. What is k?
-1, 0, 26
Let b(x) be the first derivative of -x**3/9 + x**2/3 + 8*x/3 - 10. Suppose b(r) = 0. What is r?
-2, 4
Let p(y) be the first derivative of -y**3/33 - 149*y**2/11 - 22201*y/11 +