- 1)
Let q = -50/71 - -571/710. Let a(s) be the third derivative of 0*s**4 + 0*s**3 + 2/15*s**5 - 11*s**2 + 2/105*s**7 + 0 + 0*s - q*s**6. Solve a(h) = 0 for h.
0, 1, 2
Let x(k) be the third derivative of -k**6/300 - k**5/30 + k**4/30 + 8*k**3/5 - 2*k**2 + 17. Factor x(w).
-2*(w - 2)*(w + 3)*(w + 4)/5
Let d be 0/(4*1/4)*(-14)/28. Factor 0*q**3 - q**4 + 0 - 1/3*q**5 + d*q**2 + 0*q.
-q**4*(q + 3)/3
Factor -1/8*c**2 - 35/4 - 37/8*c.
-(c + 2)*(c + 35)/8
Let d be (-3256)/(-30960) + 1/2. Let k = -2/387 + d. Factor -3/5*v + k*v**2 + 0.
3*v*(v - 1)/5
Let w(x) be the second derivative of 37*x + 1/3*x**4 - 4/9*x**3 + 0 - 1/15*x**5 + 0*x**2. Factor w(s).
-4*s*(s - 2)*(s - 1)/3
Let k(t) be the second derivative of -1/4*t**2 - 3*t + 1/12*t**3 + 1/24*t**4 + 0 - 1/40*t**5. Solve k(f) = 0.
-1, 1
Solve -6912/7 - 3/7*u**2 + 288/7*u = 0 for u.
48
Let n(u) = u**2 - 31*u + 38. Let s(p) = -p**2 - 2*p + 1. Let t(j) = n(j) + 4*s(j). Factor t(d).
-3*(d - 1)*(d + 14)
Let k(t) be the second derivative of t**5/70 - 2*t**4/7 + 5*t**3/3 - 24*t**2/7 + 2*t + 92. Solve k(i) = 0.
1, 3, 8
Let v(a) be the first derivative of -a**6/15 - 2*a**5/5 + 16*a**3/3 + 16*a**2 + 96*a/5 - 43. Let v(g) = 0. Calculate g.
-2, 3
Let o = 105 - 153. Let s be ((-2)/(-8))/((-6)/o). Factor 3/2*d - 1 - 1/2*d**s.
-(d - 2)*(d - 1)/2
Let q(o) = o + 1. Let d be q(6). Let f be (d/(-28))/((-1)/(5 - -1)). Let t**2 - 5/2*t + f = 0. What is t?
1, 3/2
Let u(z) be the second derivative of -12*z**2 + 9/2*z**4 + 0 - 6*z**3 + 17*z - 3/4*z**5. Let u(n) = 0. Calculate n.
-2/5, 2
Let f be 3*((-4)/6 - 168/(-126)). Let 2*q**4 - f*q**2 + 10/9*q**3 + 4/9*q - 14/9*q**5 + 0 = 0. Calculate q.
-1, 0, 2/7, 1
Let b = -4/1761 - -12347/8805. Solve -3/5*c - 12/5*c**2 + 2/5 - b*c**3 = 0 for c.
-1, 2/7
Let n(o) be the third derivative of 0 - 1/120*o**5 + 0*o**3 + 1/12*o**4 + 0*o + 11*o**2. Factor n(p).
-p*(p - 4)/2
Let o be (-3 - (-328)/(-32)) + 14. What is q in 11/4*q + o - q**2 = 0?
-1/4, 3
Let l(p) be the second derivative of 0*p**2 + 1/12*p**4 + 12*p - 1/6*p**6 + 0 + 0*p**3 - 1/15*p**5. Determine r, given that l(r) = 0.
-3/5, 0, 1/3
Let t be -6 + 6 + -62*1. Let s = -123/2 - t. Factor 0 + s*b**2 + 1/4*b**3 + 1/4*b.
b*(b + 1)**2/4
Let k(p) be the second derivative of p**7/462 + 59*p**6/330 + 23*p**5/44 + 19*p**4/44 + 7*p - 6. Factor k(y).
y**2*(y + 1)**2*(y + 57)/11
Let -662*w + 30*w**2 - 2*w**4 + 2 + 5*w**3 + 582*w + 30 = 0. What is w?
-4, 1/2, 2, 4
Let y(c) = 7*c + 9. Let g be y(-2). Let p be 3*12/585 + (-2)/g. Find u, given that -2/13*u**3 - 4/13*u + 0 + p*u**2 = 0.
0, 1, 2
Let d(a) = -5*a**4 + 3*a**3 + 7*a**2 - 5*a. Let k be (-43)/4 - 24/(-32). Let l(w) = -w**4 + w**3 + w**2 - 1. Let b(h) = k*l(h) - 5*d(h). What is v in b(v) = 0?
-1, -2/7, 1
Let m(k) be the first derivative of 4/7*k**3 - 1/7*k**2 + 1/7*k**4 + 1 - 1/21*k**6 - 6/7*k - 6/35*k**5. Let m(t) = 0. Calculate t.
-3, -1, 1
Suppose n + 49 = 4*r + 50, 3*r = 4*n - 30. Suppose 1/2*x**3 + 1/2 + 3/2*x**r + 3/2*x = 0. What is x?
-1
Find v such that 25182*v**2 + 13400*v**2 + 5 + 122*v - 7377*v**2 + 668*v = 0.
-1/79
Let o(p) be the third derivative of p**5/15 + 35*p**4/3 + 2450*p**3/3 + 157*p**2. Find j such that o(j) = 0.
-35
Factor -420*a**2 + 5*a**3 + 823*a**2 + 15*a - 373*a**2 - 50.
5*(a - 1)*(a + 2)*(a + 5)
Factor 44/7*s**2 + 4/7*s**4 - 16/7*s - 36/7*s**3 + 4/7*s**5 + 0.
4*s*(s - 1)**3*(s + 4)/7
Factor 272 - 5*i**2 + 268 - 520.
-5*(i - 2)*(i + 2)
Solve 1/4*k**2 + 5/2*k + 0 = 0.
-10, 0
Let t be 3/2*20/30*(0 + 3). Let 2/3*z**2 + 6*z**5 + z**4 - 40/3*z**t + 14/3*z + 1 = 0. What is z?
-3/2, -1/3, 1
Let c(f) be the third derivative of 0 + 11*f**2 + 1/210*f**5 + 0*f + 25/21*f**3 + 5/42*f**4. Factor c(r).
2*(r + 5)**2/7
Let b(u) be the first derivative of 3*u**5/80 + 7*u**4/16 + 15*u**3/8 + 27*u**2/8 + 23*u + 4. Let t(o) be the first derivative of b(o). Factor t(c).
3*(c + 1)*(c + 3)**2/4
Let i be 18/(-33) - (-1596)/627. Factor 16/5*j**3 - 4/5*j**4 - 24/5*j**i - 4/5 + 16/5*j.
-4*(j - 1)**4/5
Suppose 0 = 3*c - 0*q + 3*q - 21, 5*c + 4*q - 31 = 0. Suppose -3*a + 4*y = -0*a - 12, y + c = 0. Let 0*w + a - 2/7*w**2 + 4/7*w**3 - 2/7*w**4 = 0. What is w?
0, 1
Let n(b) = 2*b**4 + 6*b**3 - 5*b**2 + 3*b. Let h(p) = p**3 + 0*p**2 - 43*p - p**2 + p**4 + 44*p. Let m(o) = -6*h(o) + 2*n(o). Solve m(x) = 0 for x.
0, 1, 2
Suppose 0*j - j = 5*s + 6, 5*s = 2*j + 12. Factor s*n - 2/13*n**5 + 0*n**2 + 2/13*n**4 + 0 + 0*n**3.
-2*n**4*(n - 1)/13
Let y(n) be the first derivative of 0*n + 1/420*n**6 + 1/2*n**2 + 2 + 1/70*n**5 + 1/28*n**4 + 1/21*n**3. Let j(o) be the second derivative of y(o). Factor j(i).
2*(i + 1)**3/7
Determine t so that -29/4*t - 1/2*t**2 + 15/4 = 0.
-15, 1/2
Let h(n) be the third derivative of -n**9/756 - n**8/210 + n**6/45 + n**5/30 - 28*n**3/3 - n**2 + 15*n. Let q(y) be the first derivative of h(y). Factor q(w).
-4*w*(w - 1)*(w + 1)**3
Let a(g) = -2*g**4 + 28*g**3 - 30*g**2 - 6*g + 60. Let p(s) = -2*s**3 - s**2 + s - 1. Let u(t) = 2*a(t) + 12*p(t). Find k, given that u(k) = 0.
-1, 3
Let p(u) be the second derivative of 7/2*u**2 + 1/120*u**6 + 0*u**4 + 0 + 2/3*u**3 - 8*u - 1/20*u**5. Let s(c) be the first derivative of p(c). Factor s(f).
(f - 2)**2*(f + 1)
Suppose 2*h - 3*h = 0. Suppose 60 = 4*b - 44. Let 9*m**4 + h*m**3 + 3*m**5 + 6*m**3 + 26 - b = 0. What is m?
-2, -1, 0
Let b(i) be the first derivative of -i**3 - 15*i**2 - 203. Factor b(a).
-3*a*(a + 10)
Let m(n) = -5*n**4 + 2663*n**3 - 530667*n**2 + 47052743*n - 1564503605. Let x(l) = l**3 + l**2 + l. Let a(p) = m(p) - 3*x(p). Factor a(s).
-5*(s - 133)**4
Let h = -34 - -38. Find v such that 0*v**2 - 2*v**2 - h*v**2 + 12 - 12*v + 9*v**2 = 0.
2
Determine f, given that 4/5*f**3 + 6/5 - 16/15*f**2 - 4/5*f - 2/15*f**4 = 0.
-1, 1, 3
Let g = 1443/11 + -131. Let d = 18713/11 - 1701. Solve 0*z - g*z**2 + d = 0.
-1, 1
Let k = 3278 + -3276. Solve 2/19*j - 8/19 + 10/19*j**k = 0 for j.
-1, 4/5
Let p(m) be the third derivative of m**7/420 - m**6/80 + m**5/40 - m**4/48 + 2*m**2 + 185*m. Let p(d) = 0. Calculate d.
0, 1
Let o be (-8)/(-3) + (-6 - 38/(-6)). Suppose 3*j**2 + 6*j**4 - j**3 + 8*j**o - 16*j**3 = 0. What is j?
0, 1/2, 1
What is b in 2/7*b**4 + 10/7*b**3 + 10/7*b**2 - 10/7*b - 12/7 = 0?
-3, -2, -1, 1
Let t(j) be the first derivative of -j**4/84 + j**3/7 + 19*j + 52. Let b(x) be the first derivative of t(x). Determine q so that b(q) = 0.
0, 6
Let g = -278/65 - -66/13. Let b(a) be the first derivative of 0*a**3 + 0*a**2 - 6 + 0*a + 2*a**4 - g*a**5. Suppose b(z) = 0. What is z?
0, 2
What is s in 0*s**3 + 3*s**2 + 4*s + 0 - 1/4*s**4 = 0?
-2, 0, 4
Let r(w) be the first derivative of -w**3 - 1/6*w**4 + 0*w + 1/2*w**2 + 1/30*w**5 + 2. Let c(u) be the second derivative of r(u). Factor c(b).
2*(b - 3)*(b + 1)
Let v(p) be the second derivative of -p**7/84 + 8*p**6/15 + 69*p**5/20 + 53*p**4/6 + 143*p**3/12 + 9*p**2 + 201*p. Let v(q) = 0. Calculate q.
-1, 36
Let g(n) be the first derivative of -2/3*n**3 - 18*n - 20 + 6*n**2. Suppose g(t) = 0. What is t?
3
Let j(x) be the second derivative of -x**6/15 - x**5/5 + 2*x**4/3 + 2*x**3/3 - 3*x**2 - 234*x. Factor j(m).
-2*(m - 1)**2*(m + 1)*(m + 3)
Let -48*s**2 - 4*s**3 - 7*s**2 + 3*s**3 + 76 + 44 + 70*s - 4*s**3 = 0. What is s?
-12, -1, 2
Let k(n) be the third derivative of -n**5/4 - 25*n**4/24 + 10*n**3 + 16*n**2 - 2*n. Factor k(y).
-5*(y + 3)*(3*y - 4)
Let j(g) = 10*g**4 - 182*g**3 - 4233*g**2 - 4047*g. Let q(r) = 16*r**4 - 364*r**3 - 8465*r**2 - 8095*r. Let v(c) = 5*j(c) - 3*q(c). Factor v(m).
2*m*(m + 1)*(m + 45)**2
Solve -2/3*u**4 + 0*u + 0*u**2 + 2/3*u**5 - 4/3*u**3 + 0 = 0.
-1, 0, 2
Suppose 0 = -3*g + 5*r + 31, r + 12 - 1 = 3*g. Let b(w) be the first derivative of -2*w + 8/5*w**5 - 5/2*w**4 - 2*w**3 + 5*w**g - 6. Factor b(h).
2*(h - 1)**2*(h + 1)*(4*h - 1)
Let t be 152/(-114) + (1 - -3). Solve 8/3*f**4 + 2*f**3 - 8/3*f + 0 + 2/3*f**5 - t*f**2 = 0 for f.
-2, -1, 0, 1
Suppose -2*w**2 + 0 + 67*w - 15 - 9 + 52*w - 93*w = 0. Calculate w.
1, 12
Suppose 10*q = 5*q + 10. Let k be q + 3/(-1) - -1. Let 1/2*c**5 + 0 + k*c**3 + 1/2*c**4 + 0*c**2 + 0*c = 0. Calculate c.
-1, 0
Suppose -2*c - 4*v = v - 17, -4*c + 19 = -5*v. Factor c - 10 + 3*b**2 + 13 - 21*b + 9.
3*(b - 6)*(b - 1)
Suppose c = -3, 2*p - 3*c - 44 = -3*p. Suppose -2*t = 4*g - 40, 4*g - 19 = 5*t + p. Factor -12*k + 3*k**2 + k**2 - g + 17.
4*(k -