 16*x - 4 = -19*x. Let s(m) be the second derivative of -5/66*m**u + 7*m + 0 - 1/11*m**2 - 2/11*m**3. What is a in s(a) = 0?
-1, -1/5
Let a = 7 + -4. Let j be (76/20 - a)*(-3)/(-6). Solve 0*y**2 + j*y**3 + 0 + 0*y + 2/5*y**5 - 4/5*y**4 = 0 for y.
0, 1
Let u(f) = -65*f**2 - 6*f + 45. Let x(h) = -705*h**2 - 65*h + 495. Let y(j) = -65*u(j) + 6*x(j). Factor y(v).
-5*(v - 3)*(v + 3)
Let t(w) = -29*w + 31 - 12*w**2 + 10*w**2 + 10*w**2 - 10*w**3 + 17*w**2. Let y(z) = -9*z**3 + 24*z**2 - 30*z + 30. Let p(h) = -6*t(h) + 7*y(h). Factor p(a).
-3*(a - 2)**3
Let o(j) be the second derivative of -j**7/1575 + j**5/150 + j**4/90 + 3*j**2 + 6*j. Let u(f) be the first derivative of o(f). Factor u(l).
-2*l*(l - 2)*(l + 1)**2/15
Let p(s) be the second derivative of s**5/50 + 16*s**4/15 + s + 21. Let p(h) = 0. What is h?
-32, 0
Let 3*t**4 - t**5 - 2*t**4 + 69 - 3*t**4 + 5*t**3 - 4*t + 10*t**2 - 77 = 0. What is t?
-2, -1, 1, 2
What is i in -24*i + 3 + 2*i**5 - 6*i**4 + 13 - 6*i**4 + 22*i**3 + 55*i**2 - 59*i**2 = 0?
-1, 1, 2
Let d(o) be the third derivative of -o**5/60 + o**4/12 - o**2 + 40*o. Solve d(u) = 0 for u.
0, 2
Let j(n) be the third derivative of -n**5/100 - 11*n**4/24 - 3*n**3/5 + 63*n**2. Factor j(y).
-(y + 18)*(3*y + 1)/5
Let h(k) be the second derivative of -15/2*k**2 + 2*k**3 + 1/4*k**4 + 0 - 17*k. Let h(x) = 0. What is x?
-5, 1
Let j(d) = d**2 - 12*d + 32. Let t be j(4). Let x(f) be the third derivative of 0*f + t*f**3 + 1/5*f**5 + 0*f**4 + 0 + 6*f**2 + 0*f**6 - 1/70*f**7. Factor x(l).
-3*l**2*(l - 2)*(l + 2)
Suppose 0 = 254*q - 255*q + 3. Determine x so that 0 + 0*x + 5/3*x**q - 5/3*x**2 + 5/3*x**4 - 5/3*x**5 = 0.
-1, 0, 1
Factor -162/5*s**5 + 234/5*s**4 - 16*s**3 + 8/5*s**2 + 0*s + 0.
-2*s**2*(s - 1)*(9*s - 2)**2/5
Let f(s) be the second derivative of 0 - 2/3*s**4 - 1/5*s**6 - 2*s + 3/5*s**5 + 0*s**2 + 0*s**3 + 1/42*s**7. Find l, given that f(l) = 0.
0, 2
Suppose 5*c - 2*t - 15 = -9, -4*c = -4*t. Factor -3/2*u + 1/6*u**c + 0.
u*(u - 9)/6
Let m = -701 - -705. Let s(l) be the second derivative of 0 + 1/4*l**m - 3/100*l**5 - 3/10*l**3 - 6*l - 27/10*l**2. Factor s(v).
-3*(v - 3)**2*(v + 1)/5
Let x(m) = 5*m**3 + 19*m**2 + 23*m. Let g(h) = -40*h**3 - 150*h**2 - 185*h. Let b(d) = -3*g(d) - 25*x(d). Determine i, given that b(i) = 0.
-4, -1, 0
Let i(s) be the third derivative of -s**8/224 - 11*s**7/280 - 19*s**6/160 - 13*s**5/80 - 3*s**4/32 + s**2 + 5*s. Solve i(v) = 0.
-3, -1, -1/2, 0
Let t be (-4)/(-40) + 736/2240. Factor 0*i**2 + 0 + t*i**3 + 12/7*i**4 + 0*i.
3*i**3*(4*i + 1)/7
Let q(l) be the third derivative of l**8/84 - 38*l**7/105 + 17*l**6/15 + 2*l**5/15 - 35*l**4/6 + 34*l**3/3 - 672*l**2. Factor q(t).
4*(t - 17)*(t - 1)**3*(t + 1)
Let r(n) be the second derivative of -n**5/160 - 7*n**4/48 - 2*n**3/3 + 8*n**2 + n - 3. Solve r(u) = 0 for u.
-8, 2
Let f(b) be the first derivative of b**4/4 - 14*b**3/3 + 29*b**2/2 + 44*b + 279. Let f(h) = 0. What is h?
-1, 4, 11
Let d(f) be the second derivative of -35*f + 0 - 5/78*f**4 + 8/39*f**3 - 4/13*f**2 + 1/130*f**5. Factor d(h).
2*(h - 2)**2*(h - 1)/13
Let q(z) = -28*z**2 - 24*z + 124. Let u(g) = 3*g**2 - g + 1. Let j(o) = -q(o) - 8*u(o). Determine v, given that j(v) = 0.
-11, 3
Let t(x) be the second derivative of 0*x**2 + 1/42*x**7 + 0*x**3 - 1/30*x**6 - 1/20*x**5 + 0 - 16*x + 1/12*x**4. Factor t(w).
w**2*(w - 1)**2*(w + 1)
Let n(t) be the second derivative of -9*t**7/112 - 13*t**6/40 - 9*t**5/80 + 7*t**4/8 + 15*t**3/16 - 3*t**2/8 - t + 3. Find q such that n(q) = 0.
-2, -1, 1/9, 1
Let h be -7*8/24 - (7 - 100/10). Suppose c - 6*c = -15. Suppose 4/3 - 2*r + 2*r**c - 2/3*r**2 - h*r**4 = 0. What is r?
-1, 1, 2
Let t = -27/586 + 2479/2930. Determine j so that 56/5*j - t*j**2 - 52/5 = 0.
1, 13
Let f(k) = -155*k - 153. Let d be f(-1). Factor 0*t - 2/3*t**d + 0 - 35/2*t**4 - 22/3*t**3.
-t**2*(7*t + 2)*(15*t + 2)/6
Determine t so that -35/2*t**2 + 0*t**3 + 1/2*t**4 - 28 + 45*t = 0.
-7, 1, 2, 4
Let r(w) be the first derivative of -2*w**5/45 - w**4/2 + 140. Suppose r(n) = 0. What is n?
-9, 0
Let d = -74 + 76. Suppose d + 2/3*f**2 - 8/3*f = 0. What is f?
1, 3
Suppose 4*v = -102*k + 105*k, v - 4*k + 13 = 0. What is d in -4/5*d**4 + 8/5*d**v - 4/5 - 4/5*d**5 - 4/5*d + 8/5*d**2 = 0?
-1, 1
Let n = -335 - -337. Suppose 3*y = n*y - 1, -4*j + 9 = 3*y. Factor -3/7*s**j - 3/7 - 9/7*s**2 - 9/7*s.
-3*(s + 1)**3/7
Let i(c) be the third derivative of c**7/840 - c**6/30 - 9*c**5/40 + c**4/8 + 3*c**3 + 43*c**2. Let w(k) be the second derivative of i(k). Solve w(y) = 0 for y.
-1, 9
Let g(y) be the first derivative of -2*y**5/25 - y**4/10 + 2*y**3/5 + y**2 + 4*y/5 + 105. Factor g(v).
-2*(v - 2)*(v + 1)**3/5
Let l(y) = y**3 - 9*y**2 + 7. Let n be l(9). Factor -n*i**4 - 4*i**2 + 402 - 402 - 16*i**3.
-i**2*(i + 2)*(7*i + 2)
Suppose 2*r - 5 - 1 = 0. Suppose -y**2 - 2*y - 7*y + 9 - 2*y**2 + r*y = 0. What is y?
-3, 1
Suppose 18*c + 4*c**3 - 5 + 7*c - 37*c + 13 = 0. Calculate c.
-2, 1
Let 8*n - 176 + 8*n**3 - 28*n**2 + 176 + 12*n**4 = 0. Calculate n.
-2, 0, 1/3, 1
Let j be (-12 - -7) + 60/8. Find n such that j*n + 0 + 5/2*n**2 = 0.
-1, 0
Suppose 117*h**2 - 21*h**3 - 24 + 84*h - 228*h**2 + 117*h**2 = 0. What is h?
-2, 2/7, 2
Let a(s) be the third derivative of -2*s**7/105 - 2*s**6/15 - s**5/15 + s**4 - 262*s**2 + 2. Factor a(n).
-4*n*(n - 1)*(n + 2)*(n + 3)
Let a(y) be the second derivative of -y**6/20 + 11*y**4/8 + 9*y**3/2 + 6*y**2 - 3*y - 2. Suppose a(f) = 0. What is f?
-2, -1, 4
Let -8/9*t**3 + 4/9*t**5 - 40/9*t**2 + 4/9*t + 20/9 + 20/9*t**4 = 0. Calculate t.
-5, -1, 1
Find a such that 222 - 22*a**2 + 247*a - 3*a**2 - 837*a + 18 = 0.
-24, 2/5
Suppose s = -3*b + 2, 5*b - 3*b = 4*s + 20. Let i(d) be the third derivative of 1/20*d**5 + 0*d**3 + 1/16*d**4 - 3*d**b + 0*d + 0. Let i(c) = 0. What is c?
-1/2, 0
Determine d so that 7/2*d - d**2 + 9/2 = 0.
-1, 9/2
Let c(k) be the first derivative of k**4/2 + 5*k**3/3 + 3*k**2/2 + 5*k - 7. Let t(u) = -u**3 - u**2 - 1. Let y(w) = -c(w) - 5*t(w). What is x in y(x) = 0?
-1, 0, 1
Factor 20184 + 40*y**2 + 15*y**3 + 24809*y + 26347*y + 1706*y**2.
3*(y + 58)**2*(5*y + 2)
Let x = -174 - -1222/7. Let v be (-6)/(-12) - (-6)/(-28). Factor x*m + v*m**4 + 0*m**2 - 4/7*m**3 - 2/7.
2*(m - 1)**3*(m + 1)/7
Let m(l) be the third derivative of l**5/30 - 3*l**3 + 24*l**2 + 3. Solve m(u) = 0.
-3, 3
Let w(n) be the first derivative of 1/12*n**2 - 15 - 2/9*n**3 + 1/8*n**4 + 0*n. Solve w(q) = 0 for q.
0, 1/3, 1
Let l(n) be the third derivative of n**5/420 + n**4/4 + 4*n**2 - 28*n. Suppose l(y) = 0. Calculate y.
-42, 0
Let p(z) be the second derivative of -z**6/50 + 3*z**5/25 + 7*z**4/20 - z**3 + z - 2. Let p(r) = 0. Calculate r.
-2, 0, 1, 5
Determine k, given that 225/2*k + 1/6*k**3 - 243/2 + 53/6*k**2 = 0.
-27, 1
Factor 2*t**4 - 1997*t**2 + 994*t**2 + 15*t**3 + 16*t**4 + 1000*t**2.
3*t**2*(t + 1)*(6*t - 1)
Let f(w) be the third derivative of 0*w**4 + 1/120*w**6 + 0*w**3 + 0 - 1/60*w**5 + 0*w - 13*w**2. Factor f(m).
m**2*(m - 1)
Suppose -53*j + 285 = 285. Factor 4/9*f + f**3 + j - 4/3*f**2.
f*(3*f - 2)**2/9
Let m(p) = p**3 + 10*p**2. Let r be m(-10). Let -12 + 9*s - 2*s**2 + r*s**2 + 5*s**2 + 0*s**2 = 0. What is s?
-4, 1
Let u(n) be the second derivative of -3*n**5/4 - 5*n**4/3 + 70*n**3/3 - 40*n**2 - 81*n - 1. What is p in u(p) = 0?
-4, 2/3, 2
Let h be (66/(-12))/11*-6*1. Find q such that -3*q**2 + 2*q**4 + q**h + 4*q + q**5 + 0*q**3 - 4*q**3 - q**2 = 0.
-2, 0, 1
Let l = -3/71 + 163/497. Let s(w) be the first derivative of -2 + 8/7*w + 1/7*w**4 - l*w**3 - 4/7*w**2 + 2/35*w**5. Solve s(z) = 0 for z.
-2, 1
Let 13/5*g + 9/10 + 5/2*g**2 + 4/5*g**3 = 0. Calculate g.
-9/8, -1
Let x(m) be the second derivative of m**5/60 - m**4/12 - 2*m**3/9 - 108*m. Factor x(w).
w*(w - 4)*(w + 1)/3
Let a(x) be the first derivative of x**4/4 + 4*x**3/3 - 9*x**2/2 + 13. Let r(n) = -5*n**2 + 10*n. Let s(h) = 5*a(h) + 4*r(h). Solve s(q) = 0 for q.
-1, 0, 1
Let t(v) be the first derivative of v**7/2415 + 2*v**6/345 + 7*v**5/690 - 8*v**2 - 18. Let x(j) be the second derivative of t(j). Determine r so that x(r) = 0.
-7, -1, 0
Let r(q) = 4*q - 1. Let g be r(2). Suppose 0*p - 5*p + 15 = 0. Determine c so that -9*c**2 + g*c - c**4 + 0*c**4 + 0*c**4 - 2 + 200*c**p - 195*c**3 = 0.
1, 2
Let s = -6794 + 54353/8. Let 1/2*r - 1/8*r**3 + 0 - s*r**4 + 1/2*r**2 