erivative of w**5/15 + w**4/3 + 13*w**2/2 - 16. Let r(v) be the second derivative of f(v). Determine h so that r(h) = 0.
-2, 0
Solve 2/9*g**3 - 8/9 - 4/9*g**2 - 14/9*g = 0 for g.
-1, 4
Let n(f) be the first derivative of 4*f**4 - 124*f**3/3 - 176*f**2 - 80*f - 836. Factor n(z).
4*(z - 10)*(z + 2)*(4*z + 1)
Let w = 7157/15435 - 33/1715. Solve 28/9*a + 0 - w*a**2 = 0 for a.
0, 7
Let b(q) = -6*q - 4. Let d(j) = j**2 - j + 2. Let v(f) = 2*b(f) + 4*d(f). Solve v(x) = 0 for x.
0, 4
Let d(c) = 2*c**3 - c**2 + c. Let r(o) = -9*o**3 - 24*o**2 - 3*o + 28. Let s(t) = -4*d(t) - r(t). Suppose s(g) = 0. What is g?
-28, -1, 1
Let b = -5 - 2. Let k be 16 + -13 - b/(-3). Factor 0 + 1/6*z + 1/6*z**5 - 2/3*z**2 + z**3 - k*z**4.
z*(z - 1)**4/6
Let n(d) be the second derivative of d**8/1680 - d**7/540 + d**6/540 - 19*d**4/12 + 27*d. Let l(p) be the third derivative of n(p). Factor l(c).
2*c*(2*c - 1)*(3*c - 2)/3
Let l = 7 + 14. Let b be (-2 - -9)*6/l. Factor -6 - 4*f**4 - 2*f**5 + 6 + 4*f**2 + b*f.
-2*f*(f - 1)*(f + 1)**3
Let o(m) be the second derivative of 1/3*m**3 + 0*m**2 + 1/18*m**4 + 2*m + 0. Determine l, given that o(l) = 0.
-3, 0
Let s(v) = v + 31. Let k be s(0). Factor -11 - 4*o**2 + 15*o**3 - 21*o**2 + 5*o**4 + k - 15*o.
5*(o - 1)**2*(o + 1)*(o + 4)
Let n = -3754/5 - -3762/5. Solve 1/5*a**3 + 16/5*a - n*a**2 + 0 = 0 for a.
0, 4
Suppose i + 2088 = 9*i. Let s = 269 - i. Find w such that 4*w**3 + 2/3*w**4 + s*w**2 + 0 + 16/3*w = 0.
-2, 0
Let f(o) be the first derivative of o**6/6 - 4*o**5/5 + o**4 + 2*o**3/3 - 5*o**2/2 + 2*o - 118. Factor f(s).
(s - 2)*(s - 1)**3*(s + 1)
Suppose -2 - 10 = -3*c. Suppose -3*t - t + c*y + 40 = 0, 0 = -2*t - 5*y - 15. Factor -2*l**5 + 2*l**2 + 4*l + 10*l**4 + 18*l**3 + 3*l**5 + 12*l**2 + l**t.
2*l*(l + 1)**3*(l + 2)
Let b(l) be the third derivative of l**8/84 - 4*l**7/35 + 13*l**6/30 - 4*l**5/5 + 2*l**4/3 - 2*l**2 + 15*l. Let b(s) = 0. Calculate s.
0, 1, 2
Let h(s) be the first derivative of 2*s**6/15 + 3*s**5/20 - s**4/12 - 8*s - 20. Let f(d) be the first derivative of h(d). Factor f(k).
k**2*(k + 1)*(4*k - 1)
Find u, given that -1805 + 346*u**3 - 14630*u - 30405*u**2 - 80*u**4 - 2483*u**3 - 943*u**3 = 0.
-19, -1/4
Let s = 50292/5 - 10058. Factor 14/5*a**4 - 16/5*a + 0 + 8*a**2 - s*a**5 - 36/5*a**3.
-2*a*(a - 2)**3*(a - 1)/5
Let v(g) be the second derivative of g**6/15 - 3*g**5/10 - 2*g**4/3 - 338*g. Factor v(r).
2*r**2*(r - 4)*(r + 1)
Let j(v) be the third derivative of -7*v**9/69120 + v**8/5760 - v**7/10080 - v**5/3 - 4*v**2 + 1. Let l(z) be the third derivative of j(z). Factor l(k).
-k*(7*k - 2)**2/8
Solve 96*s**2 + s**5 + 2*s**5 - s**5 - 21*s**3 + s**5 - 33*s**3 - 45*s = 0 for s.
-5, 0, 1, 3
Let u(s) = s**2 + 21*s. Let j be (-3 + ((-1)/4 - 2))*4. Let c be u(j). Determine r, given that -2/7*r - 2/7*r**2 + c = 0.
-1, 0
Let a(s) be the third derivative of -s**5/40 - 9*s**4/16 + 5*s**3/2 - 2*s**2 + 1. Factor a(k).
-3*(k - 1)*(k + 10)/2
Let x(d) be the second derivative of -2*d**6/15 + 21*d**5/25 + d**4/3 - 38*d**3/5 - 72*d**2/5 - 277*d. Determine a, given that x(a) = 0.
-1, -4/5, 3
Let u = 200 - 203. Let m = u - -5. Let 1/2*h**m + 1/2 + h = 0. What is h?
-1
Let x = -9 - -14. Factor 0*b**4 + 6*b**4 + 4*b**3 - x*b**4 + b**3.
b**3*(b + 5)
Let g(j) be the first derivative of 4*j**3/3 - 152*j**2 + 5776*j - 92. Find v such that g(v) = 0.
38
Let q = 204/5 - 813/20. Let u(g) be the second derivative of -29/84*g**4 + 2/7*g**2 - 4*g + 2/21*g**3 + q*g**5 + 0. Let u(z) = 0. Calculate z.
-2/7, 2/3, 1
Let q be 3/6*2 + -1. Let n(d) = -3*d**2 + 61*d - 296. Let l be n(12). Let 4/5*t**2 + 0*t - t**5 - 4/5*t**3 - 13/5*t**l + q = 0. Calculate t.
-2, -1, 0, 2/5
Suppose 0 = 5*y - s - 4, 0 = -185*y + 184*y - 3*s + 20. Suppose 0*p + 3/2*p**5 - 3/2*p**3 + 0 - 3/2*p**y + 3/2*p**4 = 0. What is p?
-1, 0, 1
Let w(l) be the second derivative of -2/135*l**6 + 0 + 0*l**3 + 1/90*l**5 + 1/189*l**7 + 0*l**2 + 0*l**4 - 7*l. Determine r, given that w(r) = 0.
0, 1
Let r = 157 - 137. Suppose 0 = -9*k + 5*k + r. Let -4/7*n**2 + 0 - 6/7*n**k + 4/7*n**4 + 8/7*n**3 - 2/7*n = 0. What is n?
-1, -1/3, 0, 1
Let q(r) = -r**3 - r. Let l(t) = -t**4 + 4*t**3 + t**2 + 2*t. Let f(n) = l(n) + 3*q(n). Let f(d) = 0. Calculate d.
-1, 0, 1
Suppose 8 = 2*n, -4*y - 8 = -n - 3*n. Let t be 2/((-12)/9) + 2. Factor -t*r**y + 0 + 0*r.
-r**2/2
Factor 0*m + 1/5*m**5 + 2/5*m**4 - 1/5*m**3 - 2/5*m**2 + 0.
m**2*(m - 1)*(m + 1)*(m + 2)/5
Suppose 4*l + 44 = -12. Let d = -12 - l. Factor -h**2 + 3 + 5*h**2 - 7*h + h**d - h**3.
-(h - 3)*(h - 1)**2
Let d = -297/17 + 1536/85. Factor d*a + 2/5 - 1/5*a**2 - 3/5*a**3 - 1/5*a**4.
-(a - 1)*(a + 1)**2*(a + 2)/5
Suppose 3*j + 5*r = 24, -4*r = -6 - 6. Let n(w) be the first derivative of -1/2*w + j + 1/6*w**3 + 0*w**2. Find g, given that n(g) = 0.
-1, 1
Determine a so that 43*a**2 - 104*a**2 + 436*a + 136 + 24*a**2 - 103*a**2 = 0.
-2/7, 17/5
Let m(i) be the second derivative of -2*i**6/15 + i**5 - 5*i**4/3 - 10*i**3/3 + 12*i**2 - 8*i - 30. What is k in m(k) = 0?
-1, 1, 2, 3
Let v(n) = -n + 5. Let r be v(3). Find c such that c - 2 + 5*c**3 + 11*c**r + 0*c - 3*c**2 = 0.
-1, 2/5
Let o(m) = 2*m**2 + 13*m - 3*m**2 - 12 + 0. Let a(h) = -h**2 + 9*h - 8. Let t be -4 + ((-9)/(-1) - -2). Let y(x) = t*a(x) - 5*o(x). Factor y(u).
-2*(u - 1)*(u + 2)
Let v(c) be the second derivative of -c**4/48 + c**3/6 + 5*c**2/8 - 77*c. Factor v(t).
-(t - 5)*(t + 1)/4
Let u(b) = -3*b**4 - 18*b**3 + 6*b**2 + 15. Let z(l) = 7*l - 27. Let f be z(6). Let g(i) = -i**3 + 1. Let r(h) = f*g(h) - u(h). Factor r(p).
3*p**2*(p - 1)*(p + 2)
Solve -16/17*q + 4/17*q**3 + 8/17 - 2/17*q**2 = 0 for q.
-2, 1/2, 2
Let u be (-1016)/(-1143) + (-46)/72. Let -5/4*j**4 - u*j**5 - 1/4 - 5/2*j**3 - 5/2*j**2 - 5/4*j = 0. What is j?
-1
Let z be (-1336)/(-4725) - ((-72)/42)/(-6). Let u = 2714/4725 + z. Let 6/7*y**2 - 6/7*y**4 - u*y**3 + 0 + 4/7*y = 0. What is y?
-1, -2/3, 0, 1
Let l(h) = -h**2 + 11*h - 16. Let x be l(9). Find f, given that 2*f**3 + 10*f - 8*f + f**x - 5*f**2 = 0.
0, 1
Let w(b) be the first derivative of b**6/21 - 6*b**5/35 + b**4/14 + 2*b**3/7 - 2*b**2/7 + 219. Determine g so that w(g) = 0.
-1, 0, 1, 2
Let q(a) be the third derivative of 7*a**5/15 + 9*a**4/4 - 2*a**3/3 - 165*a**2. What is i in q(i) = 0?
-2, 1/14
Suppose 5*i = 233 - 73. Suppose -i*s = -35*s. Factor -20/3*n**2 + s + 8/3*n.
-4*n*(5*n - 2)/3
Let b = -40506/41 - -988. Let h = b - -37/82. Determine g, given that -h - 1/2*g**2 + g = 0.
1
Factor -4/15 + 4/15*b**2 - 2/15*b + 2/15*b**3.
2*(b - 1)*(b + 1)*(b + 2)/15
Let l(a) be the third derivative of a**6/1260 - a**5/140 + 3*a**3 + 28*a**2. Let o(z) be the first derivative of l(z). Factor o(b).
2*b*(b - 3)/7
Factor 512*a**2 + 6*a + 7225/2*a**4 + 0 + 22015/2*a**3.
a*(a + 3)*(85*a + 2)**2/2
Let t(b) be the second derivative of b**5/140 - 13*b**4/28 + 19*b**3/21 + b - 13. Solve t(j) = 0 for j.
0, 1, 38
Let c = 3678/395 - 388/79. Factor 0 + 12/5*h**2 + 0*h - c*h**3.
-2*h**2*(11*h - 6)/5
Let a be -2*(-1 - 10/(-4)). Let z be (-72)/3*(2 + a). Factor -14*o + 0 - 14*o**3 - z*o**2 + 7*o + o + 4.
-2*(o + 1)**2*(7*o - 2)
Suppose r + 3*r = -68. Let v = 21 + r. Suppose -v*l**3 + 7*l - 2 + 2*l**3 - 8*l**2 - l**5 + 4*l**3 + 2*l**4 = 0. What is l?
-2, 1
Let t(s) be the second derivative of s**8/33600 - s**6/3600 - 4*s**4/3 + 4*s. Let w(c) be the third derivative of t(c). Factor w(v).
v*(v - 1)*(v + 1)/5
Factor 15*l - 3/2*l**2 - 3/2*l**3 - 12.
-3*(l - 2)*(l - 1)*(l + 4)/2
Let m(p) be the second derivative of 0*p**2 + 0*p**3 + 0*p**5 + 6*p + 1/30*p**6 + 0 - 1/12*p**4. Factor m(i).
i**2*(i - 1)*(i + 1)
Let f(h) be the second derivative of -5*h**4/12 + 85*h**3/6 + 318*h. Determine c so that f(c) = 0.
0, 17
Let o(y) be the third derivative of 1/10*y**5 + 0*y - 3*y**2 + 0*y**3 - 1/70*y**7 + 0*y**4 - 1/40*y**6 - 16. Find g, given that o(g) = 0.
-2, 0, 1
Suppose 4/7*c**2 + 0 + 4/7*c = 0. Calculate c.
-1, 0
Let o = -2/15213 + 136931/106491. Factor -3/7*g**4 + 3/7*g + 0 + 9/7*g**3 - o*g**2.
-3*g*(g - 1)**3/7
Let l = 9845 + -9842. Let -112/9*k**2 + 2/9*k**5 + 32/3*k + 64/9*k**l - 32/9 - 2*k**4 = 0. Calculate k.
1, 2
Let h(v) = 4*v + 34. Suppose 5*f + 5*l + 35 = 0, 5*f + 37 = -3*l - 0*l. Let w be h(f). Factor -2/5 + 12/5*t - w*t**2.
-2*(t - 1)*(5*t - 1)/5
Suppose -27*i**2 - 24*i**2 - 29*i**2 + 85*i**2 - 60*i = 0. Cal