so that k(x) = 0.
-7, 0
Find g, given that 0 + 0*g - 4/3*g**4 + 2/3*g**5 + 4/3*g**2 - 2/3*g**3 = 0.
-1, 0, 1, 2
Let r be -2*(1 + 2 - 2) + 2. Let m(d) be the second derivative of 6*d + r + 0*d**2 - 1/66*d**4 + 1/33*d**3. Determine j so that m(j) = 0.
0, 1
Let o = 10 + -6. Factor -a - 5*a**4 + 2*a**4 - 3*a**4 - 3*a**2 - 3*a**3 + 5*a**o.
-a*(a + 1)**3
Let o(q) be the first derivative of -1/33*q**6 - 6/55*q**5 - 9 + 2/11*q**3 + 2/11*q**2 - 1/22*q**4 + 0*q. Let o(m) = 0. Calculate m.
-2, -1, 0, 1
Suppose -2/3*u + 2/3 + 1/6*u**2 = 0. What is u?
2
Let j be (-392)/(-273)*(-45)/(-66) + -1. Let p = j + 133/143. Factor -6/11 - p*u - 2/11*u**2 + 2/11*u**3.
2*(u - 3)*(u + 1)**2/11
Let l(u) = -u + 1. Let q be l(-5). Let w = -3 + q. Let i(m) = m**2 - m - 1. Let h(p) = 3*p**2 - 4*p - 4. Let x(r) = w*h(r) - 12*i(r). Solve x(o) = 0 for o.
0
Let c be (-30)/75 - (-6)/15. Let n(v) be the second derivative of 0*v**2 + 2/25*v**5 + v + 1/30*v**4 + c*v**3 + 4/75*v**6 + 0. Factor n(m).
2*m**2*(2*m + 1)**2/5
Factor 228*k**4 + 218*k**4 - 72 - 66*k**2 + 116*k + 15*k**3 - 447*k**4.
-(k - 9)*(k - 2)**3
Factor 21/2*u**2 - 1/2*u**3 + 275/2 - 135/2*u.
-(u - 11)*(u - 5)**2/2
Let j(z) be the second derivative of -1/4*z**4 + 3/40*z**5 + 0 - 1/4*z**3 - 17*z + 3/2*z**2. Find n, given that j(n) = 0.
-1, 1, 2
Let a be 4/(-15) + 10/15. Suppose -1/5*j**3 + 1/5*j + a - 3/5*j**2 + 1/5*j**4 = 0. Calculate j.
-1, 1, 2
Factor 4178 - 1127 + 188*t + 1367 + 2*t**2.
2*(t + 47)**2
Let c(g) be the first derivative of -5/14*g**2 - 1/28*g**4 - 42 + 2/7*g + 4/21*g**3. Suppose c(h) = 0. Calculate h.
1, 2
Factor 2/5*w**2 + 968/5 + 88/5*w.
2*(w + 22)**2/5
Let l(h) be the third derivative of 23*h**7/525 - 4*h**6/25 - 19*h**5/150 + 4*h**4/5 - 4*h**3/15 + 295*h**2. Suppose l(n) = 0. Calculate n.
-1, 2/23, 1, 2
Let h = -219 - -235. Let i be 24/h - 3/(1 - 7). Factor -3/5*w**3 + 0 + 0*w - 3/5*w**i.
-3*w**2*(w + 1)/5
Suppose -5*q + 35 = -5*p, 3*p - 4*p = -3*q + 11. Factor -9*h**4 + 1071*h**q - 3*h**5 - 1071*h**2.
-3*h**4*(h + 3)
Let o(m) be the third derivative of -m**8/84 + 7*m**6/30 - 2*m**5/5 - 7*m**2. Determine k so that o(k) = 0.
-3, 0, 1, 2
Let h(f) be the first derivative of -8*f**3 - 3/5*f**5 + 15/4*f**4 - 14 + 6*f**2 + 0*f. Let h(m) = 0. What is m?
0, 1, 2
Let m(a) be the third derivative of 0*a**3 + 1/16*a**5 + 1/64*a**4 + 0 + 9/80*a**6 + 27/896*a**8 + 27/280*a**7 + 0*a + 27*a**2. Find j, given that m(j) = 0.
-1, -1/3, 0
Let y(j) be the first derivative of -6 - j**2 - 2/5*j - 8/15*j**3. Factor y(d).
-2*(d + 1)*(4*d + 1)/5
Let w(z) = -77*z - 385. Let v be w(-5). Factor 0*c**2 + 0*c + 0*c**4 + v + 2/7*c**5 - 2/7*c**3.
2*c**3*(c - 1)*(c + 1)/7
Let w(x) be the third derivative of -x**8/47040 + x**7/8820 - x**6/5040 - 7*x**4/24 + x**2. Let h(u) be the second derivative of w(u). Factor h(l).
-l*(l - 1)**2/7
Let x = 181 - 116. Suppose -m**2 - 3 + 65*m + 4*m**2 - x*m = 0. What is m?
-1, 1
Let f(b) be the second derivative of 0 - 1/10*b**5 + 1/6*b**3 + 1/42*b**7 - 1/30*b**6 - 1/2*b**2 + 1/6*b**4 + 11*b. What is d in f(d) = 0?
-1, 1
Let a(m) be the first derivative of -9 + 2/3*m**2 + 2/9*m**3 - 2*m. Suppose a(s) = 0. What is s?
-3, 1
Let y(c) be the first derivative of c**3/12 + 3*c**2/8 - 257. Factor y(f).
f*(f + 3)/4
Let k(j) be the third derivative of 0*j - 5/12*j**4 + 0*j**3 - 1/24*j**6 + 1/4*j**5 + 12 - j**2. Determine a so that k(a) = 0.
0, 1, 2
Let b(i) be the second derivative of 25*i**4/48 - i**3/12 - 3*i - 39. Factor b(x).
x*(25*x - 2)/4
Let j(q) = 20*q**3 + 30*q**2 + 60*q + 32. Let w(i) = 3*i**3 - i**2 - i. Let x(k) = -j(k) + 6*w(k). Factor x(a).
-2*(a + 1)**2*(a + 16)
Let d = -2/4857 + 6478/4857. Let -4/3*s**4 - 4/3*s + 8/3*s**2 - d*s**5 + 8/3*s**3 - 4/3 = 0. What is s?
-1, 1
Let p = -265 - -268. Let a(n) be the second derivative of p*n + 1/15*n**3 + 7/60*n**4 + 0*n**2 + 0 + 1/20*n**5. Suppose a(q) = 0. Calculate q.
-1, -2/5, 0
Let f(n) be the third derivative of 5*n**8/336 + n**7/42 - n**6/4 + n**5/6 + 25*n**4/24 - 5*n**3/2 + 136*n**2 - 2. Let f(g) = 0. What is g?
-3, -1, 1
Let h be 1 + -2 + ((-120)/(-12) - 7). Let j(b) be the first derivative of -4/3*b**3 + 0*b - 7/2*b**4 + 0*b**2 + h. Suppose j(c) = 0. Calculate c.
-2/7, 0
Let r be (-187)/(-170) - (-6)/(-12). Factor 0*w**2 + 0*w + 3/5*w**5 - 6/5*w**3 + 0 - r*w**4.
3*w**3*(w - 2)*(w + 1)/5
Let a be ((-2)/(-3)*12/(-24))/((-2)/12). Suppose 2/3*q**4 + 20*q**a + 16 + 6*q**3 + 88/3*q = 0. What is q?
-3, -2
Let m be ((-7)/140 + 1/4)*10. Let c(f) be the first derivative of 2/9*f**3 + 2/3*f - 2/3*f**m + 6. Factor c(n).
2*(n - 1)**2/3
Let m(x) be the first derivative of -2*x**3/3 - x**2/2 - 5*x + 3. Let b(k) = -k**2 - 2*k - 4. Let t(v) = -5*b(v) + 4*m(v). Factor t(u).
-3*u*(u - 2)
Let i(z) = 16*z**2 - 277*z + 10068. Let w(x) = 9*x**2 - 138*x + 5033. Let b(u) = 4*i(u) - 7*w(u). Factor b(d).
(d - 71)**2
Let v(w) = 11*w**2 + 44*w + 24. Let o(n) = n**2 - n - 1. Let b(i) = 4*o(i) + v(i). Factor b(q).
5*(q + 2)*(3*q + 2)
Let c be ((-1)/((-3)/6))/(22 + -21). Let o be c*-1 + (-81)/(-21) + -1. Solve 2/7*j**2 - 4/7*j - o = 0.
-1, 3
Let y(g) be the third derivative of -g**7/42 - 2*g**6/9 + 67*g**5/36 + 5*g**4/3 + 89*g**2 - g. Suppose y(a) = 0. What is a?
-8, -1/3, 0, 3
Let y(s) be the third derivative of -s**7/140 - 3*s**6/10 - 57*s**5/20 + 26*s**4 + 507*s**3/4 + s**2 - 157. Let y(f) = 0. Calculate f.
-13, -1, 3
Let t be (-84)/18 + 4 - 24/(-9). Let p(f) be the first derivative of 0*f**3 - 15/2*f**6 + 0*f**t + 3/5*f**5 + 1 + 0*f + 3/2*f**4. Find m such that p(m) = 0.
-1/3, 0, 2/5
Let v = 27 - 1. Let a be 4/26 + 74/v. Factor 2 - 4 + 12*r**3 - 12*r - 1 + a*r**2.
3*(r - 1)*(r + 1)*(4*r + 1)
Let t(k) be the second derivative of -k**6/315 - k**5/105 + 226*k. Find r such that t(r) = 0.
-2, 0
Let g(s) = -s**2 + s + 1. Let f(n) = -22*n**2 - 14*n + 2. Let h be -4 - (-68)/18 - 33/(-27). Let w(a) = h*f(a) - 6*g(a). Factor w(x).
-4*(x + 1)*(4*x + 1)
Let u(w) = 36*w**2 - 3*w + 2. Let v be u(1). Let z = 37 - v. Suppose 1/2*g**3 + 0 + 0*g**z + 1/2*g**4 + 0*g = 0. What is g?
-1, 0
Let c(w) = 3*w**3 - w**2 + 4*w - 2. Let d(s) = -63 - s**3 - s**2 - s + 0*s**2 + 64. Let i(k) = -c(k) - 2*d(k). Factor i(j).
-j*(j - 2)*(j - 1)
Suppose 448/5*i**2 + 46*i + 4/5 + 222/5*i**3 = 0. What is i?
-1, -2/111
Let c = 7 + -5. Suppose k + 3 = 2*k. Factor 2*h - h + k*h**2 - h**c + h.
2*h*(h + 1)
Factor -150*n - 43*n**2 + 16*n**3 - 35 - 166*n + 347*n**2 + 115.
4*(n + 20)*(2*n - 1)**2
Let a = 37 + -44. Let y be (2/a)/(-9*1/21). Factor 2/9*w**2 + 4/9 + y*w.
2*(w + 1)*(w + 2)/9
Suppose 10*b - 14 = 3*b. Factor -5 - 7*x**2 + b*x**2 + x - x + 10*x.
-5*(x - 1)**2
Suppose 4*s = 2 + 6. Solve -4*t**3 + 20*t**s - 27*t - 9*t + 12*t = 0 for t.
0, 2, 3
Let t(p) be the third derivative of -p**8/168 + 4*p**7/105 + p**6/30 - 4*p**5/15 - p**4/12 + 4*p**3/3 + 5*p**2 - 11*p. What is q in t(q) = 0?
-1, 1, 4
Let z = -173 - -1385/8. Let m(t) be the first derivative of 4 - z*t**4 + 0*t**2 - 1/6*t**3 + 0*t. Determine s, given that m(s) = 0.
-1, 0
Let r(a) be the first derivative of -4/9*a**3 + 2/3*a - 1/9*a**6 + 2/15*a**5 + 1/3*a**4 - 25 - 1/3*a**2. Factor r(t).
-2*(t - 1)**3*(t + 1)**2/3
Let x = 129/14 - 3089/336. Let g(h) be the third derivative of -1/240*h**5 + 0*h - 1/24*h**3 + x*h**4 + 0 - 5*h**2. Factor g(k).
-(k - 1)**2/4
Suppose 5*k - 36 = -1. Let a(u) = 6*u**4 - 8*u**3 - 5*u**2 - 7*u + 7. Let t(y) = -5*y**4 + 7*y**3 + 4*y**2 + 6*y - 6. Let j(n) = k*t(n) + 6*a(n). Factor j(i).
i**2*(i - 1)*(i + 2)
Let w(c) be the second derivative of -c**5/4 + 5*c**4/6 - 55*c. Find r, given that w(r) = 0.
0, 2
Let j(l) be the third derivative of l**5/240 + 3*l**4/32 - 8*l**2. Factor j(y).
y*(y + 9)/4
Suppose 25/3*o**4 - 436/3*o**2 - 88/3*o - 530/3*o**3 + 0 = 0. What is o?
-2/5, 0, 22
Let i(w) be the second derivative of 0*w**2 - 2/9*w**3 + 0 + 9*w + 1/18*w**4. Solve i(f) = 0 for f.
0, 2
Let i = -13 + 15. Factor -3*k**4 + 0 - 4*k + 35*k**2 - 21*k**i - 3 - 4*k**3.
-(k - 1)**2*(k + 3)*(3*k + 1)
Let r(g) be the first derivative of -g**5/10 - g**4/6 + g**3/3 + g**2 + g + 11. Let h(b) be the first derivative of r(b). Factor h(y).
-2*(y - 1)*(y + 1)**2
Let o(w) be the first derivative of w**7/2520 - w**6/1080 - 5*w**3/3 + 13. Let r(d) be the third derivative of o(d). Factor r(u).
u**2*(u - 1)/3
Suppose 16 = -2*s - 4*w, 10*s + 12 = 11*s - 