 derivative of 7*w**6/5 - 278*w**5/25 + 124*w**4/5 - 232*w**3/15 + 16*w**2/5 - 699. Solve c(y) = 0 for y.
0, 2/7, 1/3, 2, 4
Let z(a) = 4*a**2 + 6*a - 6. Let w = 18 + -7. Let y(c) = -5*c - 10*c + 7*c**2 + 35*c - 8*c + 2 - 13. Let v(f) = w*z(f) - 6*y(f). Determine d so that v(d) = 0.
0, 3
Let x(w) be the third derivative of 5*w**7/42 - 3*w**6/4 - 23*w**5/12 + 35*w**4/2 + 30*w**3 - 141*w**2. Factor x(n).
5*(n - 3)**2*(n + 2)*(5*n + 2)
Let c be (-69)/21 + 5 + (-4)/(-14). Let s(l) = -l**3 + 7*l**2 - 7*l + 3. Let u be s(5). Factor u*p - 21*p - 3*p**2 + 0*p**c.
-3*p*(p + 1)
Let h(b) = 2*b**3 + 16*b**2 - 7*b + 11. Let r be h(-9). Let i = r + 90. Factor 0*o**i + 0 + 4/7*o**5 - 2/7*o**4 + 0*o - 2/7*o**3.
2*o**3*(o - 1)*(2*o + 1)/7
Suppose n + 19 = 21. Let g = 5 - 2. Solve -3*a**2 + 9*a**2 - 4*a + a**g + n*a**3 + 7*a = 0 for a.
-1, 0
Let r(b) = -9*b**3 + 7*b**2 - 45*b - 48. Let c(t) = -4*t**3 + 4*t**2 - 22*t - 24. Let s(y) = 13*c(y) - 6*r(y). Find v, given that s(v) = 0.
-6, -1, 2
Let h(x) = -4*x**4 + 12*x**3 + 50*x**2 + 48*x + 14. Let u(y) = -4*y**4 + 11*y**3 + 49*y**2 + 49*y + 15. Let s(n) = -3*h(n) + 2*u(n). Find f such that s(f) = 0.
-1, -1/2, 6
Let a be ((-5)/3)/(-21 + 16) - (-10)/6. Factor -3/4*w**a + 0 + 3/4*w**4 + 0*w**3 + 0*w.
3*w**2*(w - 1)*(w + 1)/4
Suppose -50175/4*d - 1/4*d**3 + 447/4*d**2 + 49729/4 = 0. What is d?
1, 223
Suppose 3*n = -15, -53*s + 57*s - n = 17. Suppose 4/3 + 8/3*m - 5/3*m**s - 7/3*m**2 = 0. What is m?
-2, -2/5, 1
Suppose -p + 603 - 549 = 0. Let w(k) be the first derivative of -6*k**3 - p*k + 5 - 1/2*k**4 - 27*k**2. Factor w(c).
-2*(c + 3)**3
Let a be 0 + 25/(-5) - -8. Let l = -1085/3 + 362. Suppose -l - 1/3*o**a - o - o**2 = 0. What is o?
-1
Let i(z) = z**2 + z + 1. Let l(s) = -8*s**2 + s - 5. Let g(a) = -5*i(a) - l(a). Factor g(b).
3*b*(b - 2)
Let h = 127 + -63. Let o = h + -125/2. Suppose -2*c**3 - 1/2 + 0*c**2 + o*c = 0. What is c?
-1, 1/2
Factor -54 - 63*z + 3*z**3 - 169*z**2 + 79*z**2 + 84*z**2.
3*(z - 6)*(z + 1)*(z + 3)
Let q(z) = z**3 - 62*z**2 + 128*z - 478. Let u be q(60). Solve 0 + 2/9*l**u + 0*l = 0 for l.
0
Let w(t) = -18*t**2 + 3*t - 6. Let p(v) = 17*v**2 - 2*v + 5. Let n(a) = -6*p(a) - 5*w(a). Factor n(m).
-3*m*(4*m + 1)
Let a(c) be the third derivative of c**7/1050 - c**6/120 - c**5/50 + 172*c**2. Solve a(k) = 0.
-1, 0, 6
Suppose 0 = 7*m - 75 - 933. Suppose m = 3*u + 138. Suppose 2/3*g**3 + 0 + 2*g**u + 4/3*g = 0. What is g?
-2, -1, 0
Let d(w) be the second derivative of w**6/2160 - w**5/180 + w**4/36 - 3*w**3/2 - 22*w. Let n(m) be the second derivative of d(m). Factor n(k).
(k - 2)**2/6
Let y be (0 + 1)/((-1)/(-2)). Let a be (6/15)/((-6)/(-75)). What is w in 2/3*w**y + 1/3*w**a + 0 + 4/3*w**4 + 0*w + 5/3*w**3 = 0?
-2, -1, 0
Let n(j) be the second derivative of -j**7/3360 + j**6/960 + j**5/80 + 3*j**4 - 6*j. Let b(a) be the third derivative of n(a). Factor b(l).
-3*(l - 2)*(l + 1)/4
Factor -b**3 + 4*b**3 - 8*b**2 - b**2.
3*b**2*(b - 3)
Factor -2*d**5 + 4 - 6*d + 8*d**3 + 1068*d**4 - 4*d**2 - 1068*d**4.
-2*(d - 1)**3*(d + 1)*(d + 2)
Let z(a) be the first derivative of 3*a**4 - 740*a**3/3 + 5642*a**2 + 3844*a - 91. Find d, given that z(d) = 0.
-1/3, 31
Let o be (-4 - 0) + 11 - -2. Suppose 6*w + 3*w**4 - 10*w - 8*w + o*w**3 = 0. Calculate w.
-2, 0, 1
Let s(f) = -36*f**2 - 647*f + 20. Let r be s(-18). Factor 0*g**3 + 0 + 0*g**r + 0*g - 2/25*g**4.
-2*g**4/25
Let a = -4280 + 29966/7. Solve -9/7*t**3 + 24/7*t**2 - 9/7*t - a = 0 for t.
-1/3, 1, 2
Solve -163*c**2 + 203*c**2 - 43*c**2 + 120*c = 0 for c.
0, 40
Let h(z) = -z**3 - z**2 + 2*z + 1. Let j be h(0). Suppose -3*w**3 + 3*w**3 + 2*w**3 + 60*w**5 - w - 61*w**5 - j - w**4 + 2*w**2 = 0. What is w?
-1, 1
Let w(a) be the first derivative of -a**6/1080 + 17*a**5/1080 + a**4/36 + 5*a**3 + 8. Let s(d) be the third derivative of w(d). Determine y so that s(y) = 0.
-1/3, 6
Let w(s) = -s**3 - 7*s**2 + s + 1. Let x(t) = 2*t**3 + 5*t**2 - 86*t - 59. Let c(g) = -5*w(g) - x(g). Factor c(y).
3*(y + 1)*(y + 3)*(y + 6)
Let g(b) = -9*b**2 + 8*b + 17. Let j(a) = 5*a**2 - 4*a - 9. Let v(z) = 4*g(z) + 7*j(z). Solve v(w) = 0.
-1, 5
Let k(f) = 8*f + 17. Let y(j) = -2*j + 1. Let s(x) = -2*k(x) - 6*y(x). Let h be s(-10). Factor 0*w - 2/5*w**3 + 1/5*w**4 + 1/5*w**2 + h.
w**2*(w - 1)**2/5
Let q(t) be the first derivative of -t**3 + 7*t**2/3 + 8*t/3 - 124. Factor q(c).
-(c - 2)*(9*c + 4)/3
Let i(n) be the third derivative of n**8/168 - 4*n**7/105 - 11*n**6/240 + 27*n**5/40 - 9*n**3 - 124*n**2. Solve i(f) = 0 for f.
-3/2, 2, 3
Let s(x) be the first derivative of -74*x**3 + 99*x**2/2 + 6*x - 684. Let s(g) = 0. Calculate g.
-2/37, 1/2
Let w(d) be the second derivative of -d**5/120 + d**4/6 - 5*d**3/4 + 25*d**2/6 + 57*d. Factor w(r).
-(r - 5)**2*(r - 2)/6
Find a, given that 241*a + 60 + a**2 - 337*a + 8*a**2 = 0.
2/3, 10
Let n(s) be the second derivative of s**7/14 + s**6/5 - 3*s**5/20 - s**4/2 + 83*s. Factor n(i).
3*i**2*(i - 1)*(i + 1)*(i + 2)
Let u(n) = -n**2 - 2*n + 19. Let r be u(-5). Find h such that -93*h**r - 3*h**3 + 84*h**4 + 0*h + 0*h = 0.
-1/3, 0
Let d(l) = l**3 + 5*l**2 + 4*l + 4. Let p be d(-2). Let s be -5*(p/(-12))/((-10)/(-6)). What is o in 1/5*o**s - 3/5*o + 0 = 0?
0, 3
Suppose -2*v - 10*y = -5*y - 27, -y - 109 = -4*v. Let n be (-2 - 6/(-9))/(v/(-6)). Factor n*f + 2/13 + 2/13*f**2.
2*(f + 1)**2/13
Suppose 2*x = -0*x + 2. Let y(j) = 3*j**3 - 2*j**2 + j. Let h be y(x). Factor 3/4*a + 1/2 + 1/4*a**h.
(a + 1)*(a + 2)/4
Let f(a) = -7*a**3 + 24*a**2 + 5*a - 5. Let m(v) = -3*v**3 + 12*v**2 + 2*v - 2. Let r(k) = -4*f(k) + 10*m(k). Factor r(u).
-2*u**2*(u - 12)
Let s(u) be the first derivative of 9*u**5/35 + 3*u**4/14 + u**3/14 - 6*u**2 - 11. Let r(z) be the second derivative of s(z). Suppose r(x) = 0. What is x?
-1/6
Let l = 210536/11 + -19138. Determine z so that 54/11 + l*z**2 - 2/11*z**3 - 54/11*z = 0.
3
Let p(q) = 5*q**3 - 27*q**2 + 31*q + 6. Let y(c) = -14*c**3 + 82*c**2 - 92*c - 16. Let n(m) = 8*p(m) + 3*y(m). Suppose n(l) = 0. What is l?
0, 1, 14
Let i(j) be the second derivative of -j**5/120 + j**4/18 - 5*j**3/36 + j**2/6 - 718*j. Factor i(f).
-(f - 2)*(f - 1)**2/6
Let g(c) be the third derivative of -c**6/60 + 7*c**5/30 + 3*c**4/2 - 153*c**2. Factor g(s).
-2*s*(s - 9)*(s + 2)
Let v be 1*(7 + 2 + 36/(-6)). Let s(y) be the first derivative of 1/12*y**2 + 0*y + 1/24*y**4 - 5 - 1/9*y**v. Factor s(p).
p*(p - 1)**2/6
Let m be 9044/32851 - (-18)/39. Determine z, given that 44/19*z**2 + 2/19*z**5 + 26/19*z + m*z**4 + 6/19 + 36/19*z**3 = 0.
-3, -1
Suppose -266*y + 269*y - 9 = c, 3 = -4*c + y. Find z, given that -2/13*z**3 + 2/13*z**2 + c + 4/13*z = 0.
-1, 0, 2
Suppose -15840/7*k - 114*k**2 - 10/7*k**3 + 3200/7 = 0. What is k?
-40, 1/5
Suppose 5*k - k = -4*k. Let z(g) be the first derivative of 0*g**2 + 1/10*g**4 + k*g - 4/15*g**3 - 1. Suppose z(r) = 0. Calculate r.
0, 2
Factor 1/3*b + 5/3*b**2 - 1/3*b**3 - 5/3.
-(b - 5)*(b - 1)*(b + 1)/3
Let n(j) = 49*j + 11. Let i be n(4). Let u be i/46*((-5)/(-3) + -1). Factor 0*b - 2/7*b**u + 4/7*b**4 - 2/7*b**5 + 0*b**2 + 0.
-2*b**3*(b - 1)**2/7
Let i = 12/583 - 3017/174900. Let d(l) be the third derivative of 3/10*l**3 - 2*l**2 + i*l**5 + 0 - 1/20*l**4 + 0*l. Solve d(k) = 0 for k.
3
Suppose 3*i = -4*a + 76, a - 31 = 3*i - 102. Factor -8*b**3 + 2 - 16*b**2 - 19*b**2 - b**4 - i*b - 11 + 13*b**2.
-(b + 1)**2*(b + 3)**2
Let x(w) be the first derivative of 2*w**3/3 + 43*w**2/2 - 415. Factor x(c).
c*(2*c + 43)
Let p(s) be the first derivative of -s**7/2100 - s**6/90 - s**5/12 + 25*s**3/3 + 30. Let r(g) be the third derivative of p(g). Factor r(w).
-2*w*(w + 5)**2/5
Let b(x) = 3*x**3 - x**2 - x. Let w(h) = -5*h**5 + 15*h**4 - 25*h**3 - 5*h**2 + 10*h. Let m(z) = -10*b(z) - w(z). Find g, given that m(g) = 0.
-1, 0, 1, 3
Let u(g) = -4*g**2 + 6*g - 2. Let o(s) = 7*s**2 - 13*s + 5. Let d be (-1)/6 + (-158)/(-12). Let l = 8 - d. Let r(h) = l*u(h) - 2*o(h). Factor r(c).
2*c*(3*c - 2)
Let a(s) = 5*s**5 - 16*s**4 - s**3 + 57*s**2 - 36*s. Let l(w) = -w**5 + 4*w**4 - 14*w**2 + 9*w. Let p(o) = 2*a(o) + 9*l(o). Solve p(x) = 0 for x.
-3, 0, 1
Let a(k) = -6*k + 44. Let n be a(7). Factor -12*s + 0*s**3 - 4*s**3 + 226 - 190 - 20*s**n.
-4*(s - 1)*(s + 3)**2
Let p(u) = -u**3 - u**2. Let w be -3 + 9 + -4 + -1. Let a(z) be the second derivative of z**4/12 + 2*z. Let i(