7 + 0*w**3 + 1/150*w**6 + 0*w**5. Determine h so that b(h) = 0.
-1, 0, 1
Suppose 26 = 4*p + 2. Suppose -z - p = z - 4*g, -4*g = -12. Factor 0*k - 4/7*k**2 + 0 - 22/7*k**z.
-2*k**2*(11*k + 2)/7
Let m(i) = 2*i + 14. Let n be m(-5). Let o = -8 - -9. Factor -3 + 5 + n*t - o + t**2 + 2.
(t + 1)*(t + 3)
Let a(t) be the second derivative of -t**6/40 - 3*t**5/80 + t**4/16 + t**3/8 + 3*t + 1. Solve a(r) = 0.
-1, 0, 1
Let p(n) be the second derivative of 0 + 1/72*n**4 - 1/9*n**3 + 1/4*n**2 - 27*n. Factor p(c).
(c - 3)*(c - 1)/6
Factor -28*q**4 + 177*q**5 - 174*q**5 + 37*q**4 - 9*q**2 - 6*q + 3*q**3.
3*q*(q - 1)*(q + 1)**2*(q + 2)
Let y(k) = k**3 + 4*k**2 + 2. Let f be y(-4). Factor -r**2 - r**2 + 11*r**2 - 11*r**2 + f*r**4.
2*r**2*(r - 1)*(r + 1)
Let n(z) = z**4 + 9*z**3 + 21*z**2 + 23*z + 14. Let o(x) = -x**2 - x + 1. Let j(r) = -n(r) + 4*o(r). Determine d, given that j(d) = 0.
-5, -2, -1
Let o be (4/27)/(60/90). Let u(t) be the first derivative of -1 - 2/3*t + 0*t**2 + o*t**3. Factor u(s).
2*(s - 1)*(s + 1)/3
Suppose -f + 43 - 15 = 4*u, u - 10 = -f. Factor 0 - 1/3*h**2 + 1/3*h**f + 0*h - 1/3*h**5 + 1/3*h**3.
-h**2*(h - 1)**2*(h + 1)/3
Let n(f) be the third derivative of -f**5/60 - 107*f**4/24 - 53*f**3/3 - 2*f**2 + 151*f. Find x, given that n(x) = 0.
-106, -1
Let h = -4536 + 18153/4. Determine v, given that -9/4*v**3 + h*v - 1/2 - 1/2*v**2 + v**4 = 0.
-1, 1/4, 1, 2
Let q = -11 - -11. Suppose -2*i - 3*i + 7 = -4*t, -2*t + 5*i - 11 = q. Find z such that 9*z**t - 5*z - z**3 + 2 - 9*z**2 + 4*z**2 = 0.
1, 2
Let k = 331 - 961/3. Let x(m) be the first derivative of 2*m**2 - 5 + 77/4*m**4 - k*m**3 - 49/5*m**5 + 0*m. Factor x(l).
-l*(l - 1)*(7*l - 2)**2
Factor 1/2*c**3 - 219488 + 8664*c - 114*c**2.
(c - 76)**3/2
Let v(o) = o**3 - 5*o**2 - 2*o - 21. Let g be v(6). Let b(d) be the second derivative of -16*d**2 + d + 8/3*d**g + 0 - 1/6*d**4. Factor b(t).
-2*(t - 4)**2
Let b(r) be the third derivative of -r**5/20 - 25*r**4/72 + r**3/3 + 50*r**2 + 2*r. Factor b(c).
-(c + 3)*(9*c - 2)/3
Let h(g) = g**5 + 4*g**4 - 5*g**3 - 7*g**2 - 7*g - 7. Let t(p) = -p**4 + p**3 + p**2 + p + 1. Let v(b) = 2*h(b) + 14*t(b). Factor v(j).
2*j**3*(j - 2)*(j - 1)
Let n(x) = 6*x - 4. Let g be n(1). Let 0*c**2 + 6 - 3*c - 7*c**2 - g*c**2 = 0. Calculate c.
-1, 2/3
Let y = 2235/4 - 2185/4. Factor y + 5/2*t**4 + 45*t**2 - 40*t - 20*t**3.
5*(t - 5)*(t - 1)**3/2
Let k(u) = 15*u**3 + u**2 - 21. Let h(o) = 15*o**3 + 2*o**2 - 22. Let y(v) = 4*h(v) - 3*k(v). Let q(p) be the first derivative of y(p). Factor q(x).
5*x*(9*x + 2)
Solve 135 - 138*l - 7*l**2 + 17*l**2 - 3*l**2 - 4*l**2 = 0 for l.
1, 45
Let p(r) be the second derivative of r**7/1512 + r**6/108 + r**5/18 + r**4/2 + 3*r. Let f(d) be the third derivative of p(d). Factor f(j).
5*(j + 2)**2/3
Let v(a) be the first derivative of 7*a**4/30 + a**3/3 - 2*a**2/5 + 7*a + 13. Let z(i) be the first derivative of v(i). Factor z(s).
2*(s + 1)*(7*s - 2)/5
Let t = -415 - -8717/21. Let m(i) be the third derivative of t*i**3 + 0*i - 6*i**2 + 2/105*i**5 - 5/84*i**4 + 0 - 1/420*i**6. Suppose m(p) = 0. What is p?
1, 2
Let o(y) = y**4 - y**3 - y**2 + y. Let q(r) = 3*r**4 + 9*r**3 + 3*r**2 - 45*r + 30. Let b(a) = -6*o(a) + q(a). Determine l, given that b(l) = 0.
-2, 1, 5
Suppose 17*m - 8*m = 0. Let n(r) be the third derivative of 0 + 1/24*r**4 + 1/840*r**7 + m*r + 1/40*r**5 - 4*r**2 + 1/120*r**6 + 1/24*r**3. Factor n(f).
(f + 1)**4/4
Let d = 240 + -237. Let m(z) be the second derivative of 6*z + 0*z**4 + 0*z**2 + 0*z**d - 1/50*z**5 + 0 - 1/75*z**6. Factor m(f).
-2*f**3*(f + 1)/5
Let y(u) = 6*u**2 + 24*u - 26. Let b(q) = 8*q**2 + 23*q - 26. Let t(f) = 4*b(f) - 5*y(f). Suppose t(c) = 0. Calculate c.
1, 13
Let z(o) = -o**2 - 10*o + 13. Suppose 0*g = -3*g - 33. Let w be z(g). Factor -5*c**3 + 20 + 2*c**2 + 8*c**w + 15*c**2 - 40*c.
-5*(c - 2)**2*(c - 1)
Let m = 23 + 1. Suppose -2*x = x - m. Suppose 7/2*f**4 + 11/2*f**2 - f - x*f**3 + 0 = 0. Calculate f.
0, 2/7, 1
Let f be (-182)/(-49) + -4 + 11052/(-3458). Let h = 72/19 + f. Factor h + 18/13*t + 8/13*t**2.
2*(t + 2)*(4*t + 1)/13
Let h = 129105/106 - 1218. Let l = h - -483/212. Solve -l*i**3 - 3/4*i**4 - 3/4*i + 0 - 9/4*i**2 = 0.
-1, 0
Factor -5/7*d**2 + 61/7*d - 55/7 - 1/7*d**3.
-(d - 5)*(d - 1)*(d + 11)/7
Let d(x) be the second derivative of 1/7*x**2 + 15*x + 0 + 11/84*x**4 + 13/42*x**3. Factor d(m).
(m + 1)*(11*m + 2)/7
Factor -3*o + 0*o**3 + 7/2*o**2 - 1/2*o**4 + 0.
-o*(o - 2)*(o - 1)*(o + 3)/2
Solve 4/3*n**4 + 0*n + 1/6*n**5 + 13/6*n**3 + 0 + n**2 = 0 for n.
-6, -1, 0
Let y(n) = 28*n**3 - 43*n**2 + 20*n + 16. Let d(w) = 10*w**3 - 14*w**2 + 7*w + 6. Let f(z) = -8*d(z) + 3*y(z). Determine a so that f(a) = 0.
0, 1/4, 4
Let h(c) be the second derivative of -c**8/6720 - c**7/504 - 7*c**6/720 - c**5/40 + 19*c**4/4 - c - 28. Let u(l) be the third derivative of h(l). Factor u(n).
-(n + 1)**2*(n + 3)
Let p(x) be the first derivative of 4*x**3 + 7/6*x**4 + 2/15*x**5 + 16/3*x + 20/3*x**2 - 10. Suppose p(i) = 0. Calculate i.
-2, -1
Let q(j) be the first derivative of 3*j**7/14 - 7*j**6/5 + 3*j**5 - 2*j**4 - 5*j - 5. Let a(p) be the first derivative of q(p). Solve a(b) = 0.
0, 2/3, 2
Let a(h) be the first derivative of 0*h + 3/2*h**2 + 0*h**3 - 9/32*h**4 + 5 - 1/160*h**6 - 3/40*h**5. Let c(o) be the second derivative of a(o). Factor c(r).
-3*r*(r + 3)**2/4
Factor 1/2*f**3 + 6*f + 3*f**2 + 4.
(f + 2)**3/2
Let s(d) be the first derivative of d**4/4 - 11*d**3/3 + 9*d**2/2 + 13*d - 11. Let m be s(10). Factor 10/9*l**m + 4/9 + 2*l**2 + 2/9*l**4 + 14/9*l.
2*(l + 1)**3*(l + 2)/9
Let u(w) be the second derivative of -2/3*w**4 + 0 - 4/5*w**5 + 8*w**3 + 2/15*w**6 - 22*w + 18*w**2. Find f, given that u(f) = 0.
-1, 3
Let p be (-3*(-1126)/3)/(-4). Let l = 282 + p. Find n, given that -1/2*n**3 + l*n - 1/4*n**4 + 0 + 1/4*n**2 = 0.
-2, -1, 0, 1
Let o(p) be the first derivative of 2*p**5/5 - p**4 + 2*p**3 + 4*p + 17. Let m(n) = n**3 - n**2 + n + 1. Let s(q) = 4*m(q) - o(q). Factor s(r).
-2*r*(r - 2)*(r - 1)**2
Let a = 14045/12488 - -1/3122. Determine b, given that 2*b**2 - 3*b + a = 0.
3/4
Let s(i) be the third derivative of -i**6/160 - 3*i**5/32 - 19*i**4/64 - 3*i**3/8 - 4*i**2 + 57. Factor s(d).
-3*(d + 1)*(d + 6)*(2*d + 1)/8
Let s(n) = -4*n**5 - 2*n**4 + 3*n**2 + 3*n + 3. Let h = -58 - -36. Let q(z) = -15*z**5 - 7*z**4 + 11*z**2 + 11*z + 11. Let y(j) = h*s(j) + 6*q(j). Factor y(a).
-2*a**4*(a - 1)
Suppose 5*h + 679 - 656 = -4*l, 3*h = l - 24. Determine b so that l*b**4 + 0 + 0*b - 9/4*b**5 + 3/4*b**3 - 3/2*b**2 = 0.
-2/3, 0, 1
Solve -2346/11*t**4 - 5048/11*t**2 - 256/11 + 508*t**3 + 176*t + 126/11*t**5 = 0.
2/7, 2/3, 1, 16
Let o(u) be the second derivative of -3/8*u**4 + 0*u**3 + 0*u**2 + 0 + 3/80*u**5 - 14*u. Suppose o(s) = 0. What is s?
0, 6
What is w in 39/2*w**3 - 27/4*w**4 - 15*w**2 + 3/4*w**5 + 24 - 18*w = 0?
-1, 2, 4
Let n be (-6780)/35 + (5/(-5) - 1). Let h = 196 + n. Find q such that h*q**2 + 0 - 2/7*q = 0.
0, 1
Let f = -17 - -21. Suppose 3*k = f*i, 3*k = k + 8. Solve -2*l**4 + 1 - 2*l**2 - 11*l**3 - l**i + 4*l + 2*l**4 + 9*l**4 = 0.
-1/3, 1
Let k(l) be the first derivative of l**4/3 + 2*l**3/3 + 9*l - 2. Let f(n) be the first derivative of k(n). Let f(v) = 0. What is v?
-1, 0
Factor 2/7*y**3 - 74/7*y + 38/7 + 34/7*y**2.
2*(y - 1)**2*(y + 19)/7
Let q be 12/(-18) - (-44)/30. Solve -2/5*b**2 - q*b + 0 = 0 for b.
-2, 0
Factor -185*p + 25*p**2 + 15 - 95*p**3 + 119*p**2 + 125*p**2 - 64*p**2 + 60*p.
-5*(p - 1)**2*(19*p - 3)
Let -40/3*f - 1/3*f**2 - 76/3 = 0. What is f?
-38, -2
Let y(l) = 4*l**4 - 2*l**3 - 16*l**2 + 14*l. Let g(w) = -23*w**4 + 11*w**3 + 96*w**2 - 86*w. Let u(o) = -6*g(o) - 34*y(o). Factor u(d).
2*d*(d - 2)**2*(d + 5)
Let f(y) = y**3 - y - 1. Let n(v) = 4*v**2 - 99*v**4 + 97*v**4 - 2*v**2 - 6*v**3 + 6*v + 6. Let z(g) = -6*f(g) - n(g). Factor z(j).
2*j**2*(j - 1)*(j + 1)
Let r(c) be the second derivative of -c**6/3 - c**5/4 + 65*c**4/12 - 5*c**3 - 238*c. Solve r(q) = 0.
-3, 0, 1/2, 2
Suppose 5*l - 95 = -80. Let n(v) be the second derivative of 1/21*v**l - 1/14*v**4 - 4*v + 0*v**2 + 0. Factor n(g).
-2*g*(3*g - 1)/7
Let s(t) = 3*t**4 + 6*t**3 + t**2 - 2. Let u(n) = -10*n**4 - 19*n**3 - 2*n**2 - 2*n + 5. Let z(a) = 14*s(a) + 4*u(a). Factor z(v).
2*(v - 1)*(v + 1)*(v + 2)**2
Factor -1369/2 - 1/2*k**2 - 37*k.
-(k + 37)**2