0*n + 0 - 1/120*n**b - 7/24*n**4 - 1/12*n**5 - 1/2*n**3. Factor f(l).
-(l + 1)**2*(l + 3)
Suppose 129*b + 4 = 2*o + 133*b, 10 = 5*o - 4*b. Factor -90 + 30*v - 5/2*v**o.
-5*(v - 6)**2/2
Solve 0 - 52/5*y**3 + 0*y + 48/5*y**4 + 4/5*y**5 + 0*y**2 = 0.
-13, 0, 1
Let q(l) = -l**3 + 55*l**2 + 4*l - 4. Let j(f) = -55*f**2 - 5*f + 5. Let b(t) = -4*j(t) - 5*q(t). Factor b(c).
5*c**2*(c - 11)
Suppose -206*g = -209*g - 42. Let a(c) = -c**2 - c + 1. Let s(d) = 2*d**2 + 4 + 4*d**2 + 5*d - 12. Let h(r) = g*a(r) - 2*s(r). Factor h(v).
2*(v + 1)**2
Let t(j) be the third derivative of 1/180*j**6 - 1/6*j**4 + 1/90*j**5 + 0*j**3 + 0*j + 4*j**2 + 0. Suppose t(z) = 0. What is z?
-3, 0, 2
Factor -62/3*u**2 + 177/2*u + 7/6*u**3 + 27.
(u - 9)**2*(7*u + 2)/6
Let f(g) = g + 1. Let o(u) = -125*u**2 - 95*u - 15. Let r be (-2)/(-4)*6/3. Let h(s) = r*o(s) - 5*f(s). Factor h(z).
-5*(5*z + 2)**2
Suppose 11*o - 3*o + 32 = 0. Let f be o + (1144/(-65))/(-3 - -1). Find u such that 11/5*u**2 + 4/5 - f*u = 0.
2/11, 2
Let l(f) be the third derivative of f**7/70 - f**6/8 + 5*f**4/2 - 8*f**3 - 40*f**2. Determine h so that l(h) = 0.
-2, 1, 2, 4
Suppose -4*d + 10 = -10. Suppose -5*o = 10, -s - 3*o - d = -0. Let 8*y**2 - s - 4*y + 0 - 5 + 2 = 0. What is y?
-1/2, 1
Let d(u) = u - 12. Let i be d(16). Factor b**2 - i*b + 8 - 2 - 2.
(b - 2)**2
Let d(b) be the first derivative of 2*b**3/9 + 15*b**2 + 172*b/3 - 361. Factor d(l).
2*(l + 2)*(l + 43)/3
Let n(z) be the third derivative of z**8/4200 - z**7/700 + z**6/450 - 25*z**3/6 + 7*z**2. Let i(c) be the first derivative of n(c). Factor i(m).
2*m**2*(m - 2)*(m - 1)/5
Let c(x) = -x**2 + 12*x + 68. Let a be c(16). Let u(d) be the second derivative of -1/6*d**a - 4*d**2 - 4*d - 4/3*d**3 + 0. Let u(z) = 0. What is z?
-2
Let x(u) be the second derivative of -u**8/2520 - u**7/1890 + u**6/1620 - u**3/3 - 7*u. Let j(o) be the second derivative of x(o). Determine b so that j(b) = 0.
-1, 0, 1/3
Let t(y) be the first derivative of -2*y**3/39 - 5*y**2/13 - 12*y/13 + 56. Factor t(i).
-2*(i + 2)*(i + 3)/13
Let o be ((-6)/(-4))/(-1)*(-654)/981 + -1. Factor o - 2/3*w**3 + 1/3*w**4 + 1/3*w**2 + 0*w.
w**2*(w - 1)**2/3
Let p(m) be the third derivative of m**8/10080 + m**7/2520 - m**6/180 - m**5/12 + 3*m**2. Let l(q) be the third derivative of p(q). Let l(t) = 0. What is t?
-2, 1
Determine l so that 200*l**2 - 67708 - 1104*l - 84644 - 202*l**2 = 0.
-276
Let i(x) = -2*x**3 - 24*x**2 - 34*x. Let y(u) = -2*u. Let h(b) = 2*i(b) + 36*y(b). Factor h(z).
-4*z*(z + 5)*(z + 7)
Let q = -184 + 187. Suppose -5*n = 6 - 16. Determine a so that -20*a**n + 18*a**4 - 16 + 48*a - 55*a**q + 7*a**3 + 18*a**4 = 0.
-1, 2/3, 1
Let d(f) be the first derivative of -2*f**5/35 - 25*f**4/14 - 16*f**3 - 144*f**2/7 - 214. Suppose d(l) = 0. Calculate l.
-12, -1, 0
Let s(f) be the third derivative of 5/336*f**8 - 1/4*f**5 + 0*f**3 + 0*f**4 - 5/42*f**7 + 7/24*f**6 + 0 - 3*f**2 + 0*f. Let s(z) = 0. Calculate z.
0, 1, 3
Let o(c) be the third derivative of -c**6/300 - 4*c**5/75 + 31*c**4/60 - 22*c**3/15 - 3*c**2 + 4*c. Suppose o(f) = 0. What is f?
-11, 1, 2
Let m(w) be the third derivative of w**5/30 - 7*w**4/24 + w**2 + 3*w. Factor m(a).
a*(2*a - 7)
Let o(q) be the third derivative of -q**6/600 - q**5/100 - q**4/60 + 55*q**2. Solve o(z) = 0.
-2, -1, 0
Factor 66/7*r + 0 - 72/7*r**2 + 6/7*r**3.
6*r*(r - 11)*(r - 1)/7
Let a be -7 - (-429)/44 - 9/12. Let r(k) be the third derivative of -1/20*k**5 - 8*k**3 - k**4 + 0 - k**a + 0*k. Factor r(v).
-3*(v + 4)**2
Let v(o) = -o**2 - 6*o - 5. Let s be v(-4). Let t be 3 + (s - 2)/((-2)/(-6)). Factor t + 2/3*c**4 - 16*c + 44/3*c**2 - 16/3*c**3.
2*(c - 3)**2*(c - 1)**2/3
Let p(y) be the first derivative of y**5/20 - y**4/2 + 11*y**3/12 + y**2 - 3*y + 153. Determine j so that p(j) = 0.
-1, 1, 2, 6
Let q(g) = -3*g**3 - 45*g**2 - 116*g - 25. Let v(c) = 2*c**3 + 22*c**2 + 58*c + 10. Let h(b) = -4*q(b) - 7*v(b). Factor h(p).
-2*(p - 15)*(p + 1)**2
Let w be 64/20 - (-2)/(-10). Suppose 3*p - 4*p = -w. Factor 13*z**2 + 0*z**3 - 14*z**2 - z**p.
-z**2*(z + 1)
Factor 0 - 4*n**2 - 2*n - 3/2*n**3.
-n*(n + 2)*(3*n + 2)/2
Let k(p) be the first derivative of p**6/3 - 16*p**5/5 + 2*p**4 + 116*p**3/3 - 5*p**2 - 100*p - 305. Solve k(j) = 0 for j.
-2, -1, 1, 5
Let d(y) be the third derivative of 1/30*y**6 - 16*y**2 + 0*y - 1/6*y**4 + 0 + 2/105*y**7 + 0*y**3 - 1/15*y**5. Determine b so that d(b) = 0.
-1, 0, 1
Let p(n) be the first derivative of 2*n**5 - 5/6*n**6 - 10*n + 5/2*n**4 - 5 + 35/2*n**2 - 40/3*n**3. Factor p(q).
-5*(q - 1)**4*(q + 2)
Let g(c) = c**2 + c + 1. Suppose -3*i - 2*i = -5*k + 20, -k + 2*i = -6. Let u(p) = 4 + 0 + 3*p - k*p**2 + 3*p**2 - 1. Let t(w) = 3*g(w) - u(w). Factor t(b).
2*b**2
Let x(g) be the second derivative of -g**5/6 - 37*g**4/18 - 64*g**3/9 - 20*g**2/3 - 38*g + 3. Suppose x(h) = 0. Calculate h.
-5, -2, -2/5
Let k be ((-78 + -7)/(-17))/(10/4). Suppose 0 + 1/3*s + 1/3*s**5 + k*s**3 + 4/3*s**2 + 4/3*s**4 = 0. What is s?
-1, 0
Let k(t) = -t**3 + 10*t**2 - 8*t - 6. Let u be (-8)/(-8)*(9 + 0). Let a be k(u). Factor 4 + s**2 - a*s**2 + s**4 - 3 + 0*s**2.
(s - 1)**2*(s + 1)**2
Let t(q) be the second derivative of q**8/5040 + 2*q**7/945 + q**6/180 + q**4/4 - 16*q. Let o(l) be the third derivative of t(l). Let o(g) = 0. Calculate g.
-3, -1, 0
Let t(m) be the second derivative of m**4/16 + m**3 - 27*m**2/8 + 2*m. Determine y, given that t(y) = 0.
-9, 1
Let a(o) be the second derivative of 0 + 6*o - 1/12*o**4 + 1/2*o**3 + 0*o**2. Factor a(w).
-w*(w - 3)
Suppose -4 + 2 = -3*o + 5*j, j = -o - 10. Let f be (-3)/o*(0 - 0). Solve 0*t**2 + 5*t**3 + t**4 + f*t**3 - t**2 + t - 6*t**3 = 0 for t.
-1, 0, 1
Let p(r) be the first derivative of -r**6/24 + 13*r**5/20 - 11*r**4/8 + 213. Determine t so that p(t) = 0.
0, 2, 11
Suppose -5*z + 2 = -3. Let l be 3 - 1/(z/2). Factor -3 + 6*f**2 + 4 - l + 3*f**3.
3*f**2*(f + 2)
Let d(w) = -4*w**3 + 18*w**2 + 16*w - 26. Let k be d(5). Suppose -10/3*y**k + 5/6*y + 5/6*y**5 + 0 - 10/3*y**2 + 5*y**3 = 0. What is y?
0, 1
Factor 5*s**2 - 6*s**2 - 6*s**2 - 88*s + 3*s**2 - 160.
-4*(s + 2)*(s + 20)
Let x(g) = 6*g**2 - 3*g - 2. Let s be x(-1). Factor s*w**3 + w - 5*w**3 - 3*w.
2*w*(w - 1)*(w + 1)
Let t(r) = r**3 + 4*r**2 + r - 2. Let p(c) = 3*c**3 + 13*c**2 + 5*c - 7. Let o(l) = -6*p(l) + 21*t(l). Factor o(u).
3*u*(u - 1)*(u + 3)
Let z be ((-12)/70)/(((-918)/(-360))/(-17)). Let j(q) be the first derivative of -1/14*q**4 - z*q**2 - 10/21*q**3 - 2 - 8/7*q. Factor j(p).
-2*(p + 1)*(p + 2)**2/7
Let t(b) be the third derivative of b**7/1260 + b**6/18 + 10*b**5/9 + b**2 + 32. Determine l, given that t(l) = 0.
-20, 0
Let s = 8149/68544 + -5/4032. Factor -s*k**2 + 2/17*k + 4/17.
-2*(k - 2)*(k + 1)/17
Let s(n) = -n**3 - 5*n**2 + n - 23. Let y be s(-6). Factor 2 + 4 + 5*g - g**4 + 4*g**3 + 6*g - y*g**3 + 3*g**2.
-(g - 2)*(g + 1)**2*(g + 3)
Let t(k) = -11*k**2 + 173*k - 3353. Let w(j) = -5*j**2 + 86*j - 1677. Let y(u) = -4*t(u) + 9*w(u). Find s such that y(s) = 0.
41
Let t = 23 - 21. Suppose -15 = -3*k - t*k. Factor 4*b**2 - 25*b + k*b**3 - 3*b**4 + 2*b**2 - 27 + 9*b**3 - 11*b.
-3*(b - 3)**2*(b + 1)**2
Let o be (1044/1218)/(9/7). Suppose 1/6*g**2 + o*g + 0 = 0. Calculate g.
-4, 0
Let p(w) = 5*w**2 + 7*w - 6. Let l be p(-6). Let z = -658/5 + l. Find b such that -z*b**2 - 12/5*b - 18/5 = 0.
-3
Let n = 17/3 + -59/12. What is f in 6*f + n*f**3 + 3 + 15/4*f**2 = 0?
-2, -1
Let w(x) be the first derivative of -5*x**6/6 + 2*x**5 + 5*x**4/4 - 10*x**3/3 + 5. Suppose w(h) = 0. What is h?
-1, 0, 1, 2
Let d(b) = b**2 - 8*b - 16. Let g be d(-2). Let v(f) be the third derivative of 1/8*f**g + 0*f - 1/60*f**5 - 1/3*f**3 + 4*f**2 + 0. Find w such that v(w) = 0.
1, 2
Let u(h) be the second derivative of 0 - 1/8*h**3 + 1/80*h**5 + 17*h + 0*h**4 - 1/4*h**2. Determine p so that u(p) = 0.
-1, 2
Let f(t) be the third derivative of 1/240*t**6 + 9*t**2 + 16*t**4 - 1024/3*t**3 - 3*t + 0 - 2/5*t**5. Let f(m) = 0. What is m?
16
Let b(z) be the first derivative of -z**6/720 + z**5/80 + z**3 - 3. Let o(d) be the third derivative of b(d). Determine x, given that o(x) = 0.
0, 3
Suppose -2*r + 154 = 20*r. Let u(t) be the first derivative of -9 + 2/3*t**6 + r*t**4 + 4*t**5 + 4*t**3 + 0*t**2 + 0*t. Let u(d) = 0. Calculate d.
-3, -1, 0
Let m(f) be the second derivative of f**7/540 + f**6/5