 6. What is c in 3*c**g - 2*c**3 - 3*c + 5*c**3 - 6 + 3*c**2 = 0?
-2, -1, 1
Let g(h) be the first derivative of h**7/630 - h**5/180 - 11*h**2/2 + 11. Let z(c) be the second derivative of g(c). Suppose z(p) = 0. Calculate p.
-1, 0, 1
Let h(s) be the third derivative of s**10/21600 - s**9/12096 - s**8/10080 + s**5/12 - 13*s**2. Let m(j) be the third derivative of h(j). Solve m(q) = 0.
-2/7, 0, 1
Let q = -1422 + 1425. Let 16/5 - 12/5*v**2 + 4/5*v**q + 0*v = 0. What is v?
-1, 2
Let s(y) be the second derivative of y**5/300 - y**4/24 + 2*y**3/15 + 3*y**2 - 14*y. Let l(w) be the first derivative of s(w). Factor l(x).
(x - 4)*(x - 1)/5
Let m(t) be the second derivative of -t**7/168 + t**6/20 - 3*t**5/20 + 5*t**4/24 - t**3/8 - 135*t. Solve m(n) = 0 for n.
0, 1, 3
Let j(x) be the first derivative of 0*x + 12 - 1/12*x**3 + 5/8*x**2. Determine f so that j(f) = 0.
0, 5
Let g be 2/(-20)*38 + (3 - -1). Let 2 + 7/5*q + g*q**2 = 0. What is q?
-5, -2
Let x(y) be the third derivative of 14*y**7/15 + 259*y**6/15 + 145*y**5/3 + 146*y**4/3 + 24*y**3 - 108*y**2 - 2*y. Factor x(k).
4*(k + 1)*(k + 9)*(7*k + 2)**2
Let 0 + 3/8*p**2 + 1/8*p**3 + 0*p - 7/8*p**4 - 5/8*p**5 = 0. What is p?
-1, 0, 3/5
Let a be ((-969)/42)/(-17) - (-1)/7. Determine t, given that 0*t + a*t**2 + 0 - 3/2*t**3 = 0.
0, 1
Let h(i) = i + 6. Let x be h(-7). Let f be 1/(x + (-13)/(-12)). Determine s so that -f*s + 3 - 2 - 1 + 4*s**2 = 0.
0, 3
Suppose -9*i - i + 40 = 0. Suppose 2*g + i = 3*o + g, 4*g - 8 = 4*o. Solve -4/7*n**o + 4/7 + 4/7*n - 4/7*n**2 = 0.
-1, 1
Let p(o) be the third derivative of o**6/140 - o**5/30 + o**4/42 - 283*o**2. Factor p(d).
2*d*(d - 2)*(3*d - 1)/7
Let a(k) be the first derivative of k**4/4 + 8*k**3/3 + 6*k**2 - 197. Factor a(c).
c*(c + 2)*(c + 6)
Let x(f) be the third derivative of f**6/360 + 17*f**5/180 - 267*f**2 - 2. Factor x(n).
n**2*(n + 17)/3
Let n be (-6)/(-10)*(22 - 17). Let d(g) be the second derivative of -g + g**n + 2*g**2 + 0 + 1/6*g**4. Factor d(a).
2*(a + 1)*(a + 2)
Let a(b) be the first derivative of -11 + 24*b - 3/4*b**4 - 18*b**2 + 6*b**3. Factor a(c).
-3*(c - 2)**3
Let m = -131 + 135. Factor -27*l - l**3 + l**5 + 27*l + 9*l**2 - l**m - 8*l**2.
l**2*(l - 1)**2*(l + 1)
Suppose 45 = 17*t - 12*t. Let f be 28/63*2/(12/t). Factor 0 + 0*a - f*a**3 - 2/3*a**2.
-2*a**2*(a + 1)/3
Factor -5*h**2 + 117*h - 20*h - 39*h - 65 + 12*h.
-5*(h - 13)*(h - 1)
Let m(a) = 11*a + 1. Suppose -6*q + 15 = -11*q + 5*x, -5 = 3*q - 2*x. Let y be m(q). Suppose -1/2*n**5 - 8*n + 4*n**4 + 0 + 16*n**2 - y*n**3 = 0. Calculate n.
0, 2
Let s = -20 - -20. Suppose -c - 6 = -4*c + z, s = -c - z + 2. Factor c*p - 1/2*p**2 - 2.
-(p - 2)**2/2
Factor 4*w**2 + 4531*w - 9*w**2 - 4766*w.
-5*w*(w + 47)
Let a(f) be the third derivative of -29*f**6/8 - 173*f**5/12 - 425*f**4/24 + 5*f**3/6 - 18*f**2 - 12. Factor a(r).
-5*(r + 1)**2*(87*r - 1)
Let z(i) be the second derivative of -i**8/3360 + i**7/420 - i**5/15 + i**4/3 - 16*i. Let n(b) be the third derivative of z(b). Solve n(k) = 0.
-1, 2
Let b = -214 + 217. Let q(p) be the third derivative of 0*p - 1/30*p**5 + 0 + 2*p**2 + 1/3*p**b + 0*p**4. Let q(m) = 0. Calculate m.
-1, 1
Let f(c) be the second derivative of -c**7/735 - c**6/84 - c**5/35 + 17*c**2/2 - 11*c. Let y(z) be the first derivative of f(z). Factor y(v).
-2*v**2*(v + 2)*(v + 3)/7
Let h = -7 + 10. Let x(m) = m**2 - 2*m + 2. Let j be x(0). Factor -1 + 6*w**3 + 3*w - w**5 - 2*w**j + h*w**4 - 3*w**3 - 4*w**3 - w**3.
-(w - 1)**4*(w + 1)
Let i(j) be the second derivative of -3*j**5/160 + 7*j**4/16 + 31*j**3/16 + 3*j**2 - j - 61. Factor i(g).
-3*(g - 16)*(g + 1)**2/8
Let z(t) = 314*t**3 - 283*t**2 - 625*t - 200. Let g(a) = -470*a**3 + 424*a**2 + 938*a + 300. Let o(k) = -5*g(k) - 8*z(k). Factor o(f).
-2*(f - 2)*(9*f + 5)**2
Determine j so that -196*j - 98 - j**2 + 65 + 188*j + 2*j**2 = 0.
-3, 11
Suppose 16*x - 14*x - 156 = 0. Let o = -78 + x. Determine z, given that o*z + 0 - 2/3*z**4 - 1/6*z**2 + 5/6*z**3 = 0.
0, 1/4, 1
Find n such that -30*n**2 - 2*n**5 - 37/3*n**4 - 85/3*n**3 - 8/3 - 44/3*n = 0.
-2, -1, -2/3, -1/2
Let l(r) = -2*r**4 - 38*r**3 + 142*r**2 + 232*r - 206. Let t(p) = -p**4 + p**3 - p**2 + 2*p - 1. Let h(o) = l(o) + 10*t(o). Solve h(b) = 0.
-3, 2/3, 3
Factor 12/5*l**3 + 0 + 0*l**2 + 0*l - 3/5*l**5 + 9/5*l**4.
-3*l**3*(l - 4)*(l + 1)/5
Suppose -4*d + 0*d = 0. Let l = 4 + d. Solve l*z - z**2 + 20 - 20 = 0.
0, 4
Let f(m) be the third derivative of -m**9/60480 - m**8/10080 - m**7/5040 - 2*m**5/5 - 36*m**2. Let n(q) be the third derivative of f(q). Factor n(h).
-h*(h + 1)**2
Factor 28/3*p + 4/3*p**2 + 40/3.
4*(p + 2)*(p + 5)/3
Let g = 622 - 622. Factor 0 + g*a + 2/5*a**2 - 2/5*a**3.
-2*a**2*(a - 1)/5
Let a(t) = 3*t**2 + 20*t + 40. Let w be a(-4). Let f(k) be the first derivative of 2*k**2 + 5 - 4/3*k**3 + w*k. Let f(n) = 0. What is n?
-1, 2
Let c be 4/(-1*14/(-7)). Let n(m) be the second derivative of 3/2*m**c + 7/4*m**4 + 0 + m + 5/2*m**3 + 9/20*m**5. Find v such that n(v) = 0.
-1, -1/3
Let d(g) be the second derivative of -g**4/20 + 7*g**3/5 + 153*g**2/10 + 343*g. Factor d(q).
-3*(q - 17)*(q + 3)/5
Let q(y) be the first derivative of y**6/3 - 16*y**5/5 + 25*y**4/2 - 76*y**3/3 + 28*y**2 - 16*y - 401. Factor q(t).
2*(t - 2)**3*(t - 1)**2
Factor 0*c**2 - 12*c**3 + 0*c - 2/3*c**5 - 38/3*c**4 + 0.
-2*c**3*(c + 1)*(c + 18)/3
Let s(q) = q**2 - 3. Let t be s(2). Suppose -5 = -3*v + t. Factor -h**2 + 4*h**v + 4*h**3 + 5*h - 2*h**3 - 4*h.
h*(h + 1)*(2*h + 1)
Let d(b) = b**3 - 7*b**2 - 33*b + 30. Let g be d(10). Determine o so that 1/2*o**3 + 1/2*o - o**2 + g = 0.
0, 1
Let m(p) = -4*p**2 + 7*p + 5. Suppose 2*a + 2*a = -64. Let b(s) = -9 - 15 - 33*s + 20*s**2 - 3*s. Let w(h) = a*m(h) - 3*b(h). Determine i, given that w(i) = 0.
-1, 2
Let t(x) = 2*x + 27. Let i be t(-12). Factor 48*p**2 + 5 + 7 - 6 + 27*p + 42*p**i + 18*p**4 + 3*p**5.
3*(p + 1)**4*(p + 2)
Let x = -317 - -319. Let z(a) be the third derivative of 0 + 0*a**3 - 1/120*a**6 + 1/20*a**5 + 1/168*a**8 + 0*a - 1/24*a**4 - 1/70*a**7 + x*a**2. Factor z(k).
k*(k - 1)**2*(k + 1)*(2*k - 1)
Let v(w) be the third derivative of -2/105*w**5 + 4*w - 2/21*w**3 + 8*w**2 - 5/84*w**4 + 0 - 1/420*w**6. Factor v(d).
-2*(d + 1)**2*(d + 2)/7
Let k be (-1)/((-96)/(-760)) + 8. Let b(z) be the second derivative of k*z**4 + 1/24*z**3 + 0*z**2 + 2*z + 0. Factor b(a).
a*(4*a + 1)/4
Let u(i) = -i**4 - 15*i**3 + 39*i**2 + 79*i - 94. Let v(o) = -10*o**4 - 165*o**3 + 430*o**2 + 870*o - 1035. Let n(t) = -45*u(t) + 4*v(t). Factor n(h).
5*(h - 2)*(h - 1)*(h + 3)**2
Let g(m) be the third derivative of m**6/30 + m**5/15 - m**4/3 - 40*m**2 - 2. Factor g(j).
4*j*(j - 1)*(j + 2)
Let b(h) be the first derivative of -h**4/7 + 2*h**3/3 - h**2 + 4*h/7 + 205. Solve b(n) = 0.
1/2, 1, 2
Factor -562/3 + 1126/3*x + 2/3*x**3 - 566/3*x**2.
2*(x - 281)*(x - 1)**2/3
Factor 0*q**5 - q**5 - 5*q + 14*q**3 - 4*q**5 - 3*q**3 - q**3.
-5*q*(q - 1)**2*(q + 1)**2
Find g, given that 56 + 8/3*g**2 - 4/3*g**3 + 116/3*g = 0.
-3, -2, 7
Let i be (-30)/12*(-2 - (-12)/10). Let -26*w**2 - 3*w**4 - 3 + 55*w**2 - 23*w**i = 0. What is w?
-1, 1
Factor -1/5*k**3 + 0*k + 36/5 - 7/5*k**2.
-(k - 2)*(k + 3)*(k + 6)/5
Let j = 35 + -30. Suppose 0 = j*t + t - 12. Factor 0 + 0*n + 3/7*n**t.
3*n**2/7
Let j(a) be the first derivative of -a**3/9 + a/3 - 22. Factor j(r).
-(r - 1)*(r + 1)/3
Let a(d) = -7*d**3 - d**2 + 4*d + 5. Let p be a(-3). Factor 62*r + p*r - 55*r - 150*r**2 - 40 - 125*r**3.
-5*(r + 2)*(5*r - 2)**2
Let v = 7450/7 - 22343/21. Let v*a**2 + 48 - 8*a = 0. Calculate a.
12
Let o(c) = c**3 + 22*c**2 + 40*c - 57. Let x(f) = -3*f**3 - 21*f**2 - 40*f + 56. Let w(z) = -4*o(z) - 3*x(z). Factor w(l).
5*(l - 6)*(l - 1)*(l + 2)
Let n be (71/(-3))/((-4)/6). Let p = 36 - n. Determine g so that 0 - 1/2*g**2 + p*g**4 - 1/2*g**3 + 1/2*g = 0.
-1, 0, 1
Let r(u) be the second derivative of u**4/3 - 4*u**3/3 + 2*u**2 + 70*u. Suppose r(t) = 0. Calculate t.
1
Factor 1/4*c**3 - 28 - 15/4*c**2 + 18*c.
(c - 7)*(c - 4)**2/4
Suppose 0 = -3*c - 21*r + 24*r - 15, -6*c = -4*r + 20. Find z such that -2*z + 2/9*z**2 + c = 0.
0, 9
Factor 13*v - 380*v**2 + 188*v**2 - 12 + 191*v**2.
-(v - 12)*(v - 1)
Let y(p) = p**4 + p**2 - p - 2. Let w(h) = -20*h**4 + 12*h**3 - 28*h**2 + 12*h + 48. Let m(v) = w(v) + 24*y(v). Factor m(i).
4*i*(i - 1)*(i + 1)*(i +