ive of -7*s**5 - 115*s**4/4 - 10*s**3 + 202. Factor h(v).
-5*v**2*(v + 3)*(7*v + 2)
Let k = 3 + -1. Suppose 9 = -k*h + 5*h. Factor 2 + 2*o**5 - 12*o - 4*o**h + 25*o - 11*o + 2*o**4 - 4*o**2.
2*(o - 1)**2*(o + 1)**3
Let i be ((-130)/18)/(28 - (-534)/(-18)). Determine b, given that -i + 14/3*b - 1/3*b**2 = 0.
1, 13
Let m(a) = -a**2 - a. Let k(l) be the third derivative of 11*l**5/60 + 11*l**4/24 + 12*l**2. Let w(p) = -k(p) - 6*m(p). Find r, given that w(r) = 0.
-1, 0
Suppose -5*s + 27 = 4*k, -5*k = -4*k - 3*s + 6. Suppose 5*l - 1 + k = 4*z, -7 = z - 5*l. Solve -f**2 - z*f - 4 - f + 0*f = 0.
-2
Let t be (0 - 162)/(1360/(-85)). Let 45/8*y - t*y**5 - 51/4*y**2 + 9/2*y**3 - 3/4 + 27/2*y**4 = 0. Calculate y.
-1, 1/3, 2/3, 1
Let u = -60638 + 121277/2. Let l = -4 - -6. Determine s so that 1/6*s - 1/6*s**4 + u*s**3 + 0 - 1/2*s**l = 0.
0, 1
Let b(f) = 0*f + 6*f**2 - 3*f**2 + 7 - 4*f**2 + f. Let p be b(0). Factor 2*d**3 - p*d**3 - d**3 + 3*d**2 + 3*d**4.
3*d**2*(d - 1)**2
Let o(j) be the first derivative of j**4/18 - 4*j**3/3 + 12*j**2 - 48*j - 189. Let o(i) = 0. What is i?
6
Let l(t) = 10*t**3 + 487*t**2 - 26*t + 39. Let g(f) = -5*f**3 - 244*f**2 + 12*f - 18. Let s(b) = 13*g(b) + 6*l(b). Factor s(r).
-5*r**2*(r + 50)
Let d(g) be the third derivative of 0*g - 9*g**2 - 1/20*g**5 + 0 + 0*g**3 - 1/8*g**4. Solve d(o) = 0 for o.
-1, 0
Let y be (4/15)/(4/10). Determine i, given that 0*i - 8/3*i**2 + 0 + 8/3*i**3 - y*i**4 = 0.
0, 2
Factor -16*m - m**2 - 2*m + 10*m - 4*m - 2*m**4 + 11*m**2 + 4*m**3.
-2*m*(m - 3)*(m - 1)*(m + 2)
Let n = -1123 + 1125. Factor 8/3 - 4/3*w + 1/6*w**n.
(w - 4)**2/6
Let y(s) = -121*s**3 + 1492*s**2 - 528*s + 48. Let d(c) = 121*c**3 - 1491*c**2 + 527*c - 48. Let b(g) = 4*d(g) + 5*y(g). What is j in b(j) = 0?
2/11, 12
Let y(f) be the third derivative of 22*f**2 + 2/105*f**5 + 0*f - 3/20*f**6 + 0*f**3 + 1/21*f**4 + 0. Factor y(u).
-2*u*(7*u - 2)*(9*u + 2)/7
Let x be (112/(-224))/(27/(-6)). Factor -x*u + 1/9*u**2 + 0.
u*(u - 1)/9
Let p(j) = j**3 - 22*j**2 - 25*j + 46. Let x be p(23). Let -2/5*f**2 + x - 2/5*f = 0. What is f?
-1, 0
Let g be (-2)/(-3) + (-4)/(-3). Suppose g*h + 0*d = 2*d + 8, -2*h = 3*d - 13. Factor -1 + 2*a**2 + 6*a**3 + 1 + 4*a**h - 10*a**4 - 17*a + 15*a.
2*a*(a - 1)**3*(2*a + 1)
Let h(j) be the first derivative of -8*j**5/5 + 4*j**4 - 10*j**3/3 + j**2 - 146. Factor h(q).
-2*q*(q - 1)*(2*q - 1)**2
Let o be ((-4)/(-16))/((66/12)/11). Let n(m) be the first derivative of -2 + o*m**2 - 1/2*m**3 + 1/8*m**4 + 0*m. Factor n(r).
r*(r - 2)*(r - 1)/2
Factor 0 + 5/2*o**4 - 165/2*o**2 + 75/2*o**3 + 85/2*o.
5*o*(o - 1)**2*(o + 17)/2
Suppose 18 = 5*u - 7*u. Let b(y) = y**3 + 9*y**2 - 2*y - 14. Let d be b(u). Factor 5*p - 8*p**3 - 21 + 25 + 3*p - 4*p**d.
-4*(p - 1)*(p + 1)**3
Let b be (-75)/(-19) - (-2 - -5). Let m = -33/95 + b. Factor 3/5*a - m*a**3 + 3/5*a**2 - 3/5.
-3*(a - 1)**2*(a + 1)/5
Suppose -71*w = -76*w - 5, 5*w - 1 = -2*a. Find g, given that 0*g - 3/4*g**2 + 0 + 3/8*g**4 + 3/8*g**a = 0.
-2, 0, 1
Let b = -274 + 242. Let u be b/17 + (-25)/((-50)/4). Factor 4/17*s**2 + 6/17*s**3 + 0*s**4 + 0 - u*s**5 + 0*s.
-2*s**2*(s - 2)*(s + 1)**2/17
Let b be 126/(-1197) - 22/(-209). Factor b + 2/3*h + 1/9*h**2.
h*(h + 6)/9
Let m = 23 - 11. Suppose -m + 0 = -2*y. What is g in -1 - 8 + 2*g**2 + y*g - 3*g**2 = 0?
3
Let x be ((-4)/14)/(616/(-98) + 4). Let q(u) be the first derivative of -x*u**2 + 1/6*u**6 + 5/12*u**3 + 0*u - 3/16*u**4 - 5 - 1/4*u**5. What is m in q(m) = 0?
-1, 0, 1/4, 1
Let a(q) = -3*q**3 - 7*q - 7. Let z be a(-1). Let m(u) be the first derivative of -1/5*u**z - 3/10*u**2 + 0*u + 3/25*u**5 + 4 + 3/20*u**4. Factor m(n).
3*n*(n - 1)*(n + 1)**2/5
Determine w so that 1/7*w**4 + 4/7*w**3 + 4/7*w + 6/7*w**2 + 1/7 = 0.
-1
Factor 0 + 1/3*j**5 - 4/3*j**4 + 0*j + 4/3*j**3 + 0*j**2.
j**3*(j - 2)**2/3
Let j be ((-3)/18)/(3 + 571/(-190)). Let h = -281/9 + j. Factor 16/9 + 2/9*s**3 - h*s**2 - 8/9*s.
2*(s - 2)**2*(s + 2)/9
Let p = 113/140 - 31/30. Let r = 1/42 - p. Solve 0*w**4 + 1/4*w + r*w**5 + 0*w**2 - 1/2*w**3 + 0 = 0.
-1, 0, 1
Determine t so that 4 + 4/3*t - 5*t**2 - 5/3*t**3 + t**4 + 1/3*t**5 = 0.
-3, -2, -1, 1, 2
Suppose 2*z + 4 - 2 = 0. Let k be -15 - -13 - (z - 3). Find a, given that -5 - 3*a + 9*a**2 - 13*a + a + 15*a**3 - 4*a**k = 0.
-1, -1/3, 1
Let z(g) = 2*g**2 - 6*g + 6. Let v be z(4). Let f = v - 11. Find k, given that 4*k**2 - 3*k**2 + k**2 + k**2 - f = 0.
-1, 1
Let d(p) be the second derivative of p**5/10 + p**4 + 3*p**3 + 4*p**2 - 3*p. Factor d(z).
2*(z + 1)**2*(z + 4)
Let q be 4*(3/(-27))/(12/(-54)). Factor -23 - 12*c**q + 5 + 11 - 56*c - 25.
-4*(c + 4)*(3*c + 2)
Let j be (342/304)/(15/4). Let y(l) be the second derivative of -l**3 + 3/2*l**2 - 1/10*l**6 + 0 + 0*l**4 + 5*l + j*l**5. Factor y(c).
-3*(c - 1)**3*(c + 1)
Let d(l) = 12*l**3 + 114*l**2 + 408*l + 393. Let s(j) = 21*j**3 + 227*j**2 + 816*j + 787. Let w(a) = -5*d(a) + 3*s(a). Solve w(x) = 0 for x.
-33, -2
Let g(w) be the first derivative of -1750*w**6/9 + 515*w**5/3 + 415*w**4/2 - 140*w**3/9 - 100*w**2/3 + 406. Solve g(c) = 0 for c.
-2/5, 0, 2/7, 5/4
Let a(l) be the second derivative of -l**5/80 - l**4/12 - l**3/24 + 3*l**2/4 + 201*l. Solve a(u) = 0 for u.
-3, -2, 1
Let o(f) = -3*f**4 - 311*f**3 - 8096*f**2 + 17179*f - 8734. Let s(v) = v**4 + 104*v**3 + 2699*v**2 - 5726*v + 2912. Let m(z) = -4*o(z) - 14*s(z). Factor m(h).
-2*(h - 1)**2*(h + 54)**2
Let l(h) be the third derivative of h**7/70 - h**6/10 + h**5/4 - h**4/4 + h**2 - 14. Solve l(i) = 0.
0, 1, 2
Let f(g) be the second derivative of 70*g**7/9 + 847*g**6/18 + 69*g**5 + 685*g**4/36 - 130*g**3/9 - 10*g**2 - 3*g - 17. Find p, given that f(p) = 0.
-3, -1, -2/7, 1/4
Let x(a) be the first derivative of 0*a + 25 - 1/16*a**4 + 0*a**3 + 1/8*a**2. Determine j, given that x(j) = 0.
-1, 0, 1
Let t(w) = -w**3 - 3*w**2 + 3*w - 1. Let c be t(-4). Let o = 1088/5 + -3254/15. Factor -o*n**c - 2/3*n**4 + 2/3*n + 2/3*n**2 + 0.
-2*n*(n - 1)*(n + 1)**2/3
Let s(p) = -3*p**2 - 2*p + 122. Let i be s(6). Let n(f) be the first derivative of 360*f**3 + 2/3*f**6 + 3 + 12*f**5 + 972*f + 90*f**4 + 810*f**i. Factor n(g).
4*(g + 3)**5
Let u(c) = -32*c**3 + 274*c**2 + 2342*c + 2087. Let d(o) = 11*o**3 - 92*o**2 - 781*o - 696. Let f(x) = -17*d(x) - 6*u(x). Factor f(i).
5*(i - 23)*(i + 1)*(i + 6)
Let u(h) be the third derivative of 0*h**4 + 8*h**2 + 0*h**7 + 1/280*h**6 + 0*h + 0 + 0*h**3 - 1/784*h**8 + 0*h**5. Factor u(x).
-3*x**3*(x - 1)*(x + 1)/7
Factor -10/3*k**5 + 0 + 104/3*k**4 - 40/3*k**3 + 0*k + 0*k**2.
-2*k**3*(k - 10)*(5*k - 2)/3
Let x be 28/4 + -1 + -2. Let -x*g**4 - 50*g**2 + 28*g**2 - 4*g**3 + 26*g**2 + 4*g**5 = 0. Calculate g.
-1, 0, 1
Find x such that 16*x**3 - 11*x**3 - 21*x - 7 - 2 - 15*x**2 - 8*x**3 = 0.
-3, -1
Let m(i) be the first derivative of -i**5/10 + 4*i**4/3 - 16*i**3/3 - 14*i + 10. Let v(r) be the first derivative of m(r). Factor v(j).
-2*j*(j - 4)**2
Let n(c) be the second derivative of c**8/2352 - c**7/735 + c**6/840 - c**2 - 10*c. Let x(b) be the first derivative of n(b). Find d, given that x(d) = 0.
0, 1
Let w = -1477 + 1480. Suppose 0*q - 4/5*q**w + 0*q**2 - 18/5*q**4 - 18/5*q**5 + 0 = 0. Calculate q.
-2/3, -1/3, 0
Let v be (5/4)/((-3)/(-12)). Suppose 0 = v*f - 11 - 4. Factor -17*w**4 - w**5 - 15*w**3 + 14*w**4 + 3*w**5 + w**5 + 24*w + f*w**2 + 12.
3*(w - 2)**2*(w + 1)**3
Let j(y) be the third derivative of -y**5/30 - 3*y**4/4 - 6*y**3 + 2*y**2 - 2. Solve j(k) = 0 for k.
-6, -3
Let z = 8447392 - 59024111/7. Let k = 15403 - z. Suppose 16/7*j + 0 - 16/7*j**2 - 45/7*j**5 - k*j**4 - 208/7*j**3 = 0. Calculate j.
-2, -2/5, 0, 2/9
Suppose -33 - 33 = -2*g. Let h be g/11 + (1 - -2). Factor -h + 2*i**2 - 7*i + 3*i + 0*i**2.
2*(i - 3)*(i + 1)
Let t(v) be the third derivative of -v**5/540 - 13*v**4/12 - 507*v**3/2 + 59*v**2. Determine y so that t(y) = 0.
-117
Let m(a) be the second derivative of -a**7/63 + 8*a**6/225 - a**5/50 + 107*a + 2. Let m(h) = 0. What is h?
0, 3/5, 1
Solve -2*x + 0*x**2 + 12/7 + 2/7*x**3 = 0 for x.
-3, 1, 2
Let y(p) = 0 + 31 + 7 + 3*p. Let m be y(-12). Let 0*n - 1/5*n**4 - 2/5*n**3 + 0 - 1/5*n**m = 0. Calculate n.
-1, 0
Let m(i) = -i**2 - 11*i + 92. Let g be m(-16). Let t be (44/(-110))/(g/(-15)). Determine d so that t*d**2 - d + 1/2 = 0.
1
Let v be 0 + 173/12 - (-54)/216. Let p be (-4)/(-6)*(-8)/(-2