- 6*w - 17. Let k be d(-9). Let i = k + -824/7. Factor 0 - 2/7*n**4 - i*n + 2/7*n**2 + 2/7*n**3.
-2*n*(n - 1)**2*(n + 1)/7
Let i(w) be the first derivative of w**7/1470 + w**6/630 - w**5/105 - 10*w**3/3 + 2. Let s(q) be the third derivative of i(q). Factor s(r).
4*r*(r - 1)*(r + 2)/7
Let n(p) be the second derivative of 0*p**2 - 1/2*p**5 + 3*p**3 - 1/2*p**4 + 4*p + 0 - 1/15*p**6. Factor n(m).
-2*m*(m - 1)*(m + 3)**2
Factor -370*a**2 - 5*a**4 + 278 + 59*a**2 - 270*a - 278 - 234*a**2 - 280*a**3.
-5*a*(a + 1)**2*(a + 54)
Let v(w) = 2*w**3 + 12*w**2 - 32*w - 4. Let m(r) = -r**3 + r**2 + 1. Let f(k) = -4*m(k) - v(k). Determine u so that f(u) = 0.
0, 4
Let l(j) be the first derivative of -2*j**3/3 - 22*j**2/3 - 14*j/3 + 99. Let l(z) = 0. Calculate z.
-7, -1/3
Let f be 1 - (-62)/(-72) - (-54)/(-243). Let z = f - -3/4. Let -2/3*k**4 + 0 - z*k**3 + 2/3*k**2 + 2/3*k = 0. What is k?
-1, 0, 1
Let v(b) be the third derivative of b**6/270 - b**5/27 - 4*b**4/27 + 8*b**3/9 + 14*b**2 - b. Factor v(q).
4*(q - 6)*(q - 1)*(q + 2)/9
Find j such that 9/2*j**4 + 0*j - 3/2*j**5 - 9/2*j**2 + 3/2*j**3 + 0 = 0.
-1, 0, 1, 3
Let c = 1631701/420 + -3885. Let t(b) be the third derivative of -c*b**6 - 1/42*b**5 + 0 + 0*b + 3/7*b**3 - 1/28*b**4 + 7*b**2. Factor t(f).
-2*(f - 1)*(f + 3)**2/7
Let h = -8 - -14. Suppose 3*d - 4*s = -11, -d + h = -4*d + 3*s. Factor -b**3 - b**4 - 3*b + 4*b - d*b**2 + 4*b**2.
-b*(b - 1)*(b + 1)**2
Let p(t) be the third derivative of t**8/42 - 16*t**7/105 + 7*t**6/20 - 11*t**5/30 + t**4/6 - 14*t**2 + 29*t. Let p(g) = 0. Calculate g.
0, 1/2, 1, 2
Suppose 13*r = 63 + 2. What is g in 6*g**4 - r*g**2 + 2*g**3 + 3*g**3 - 6*g**5 + g**5 - g**4 = 0?
-1, 0, 1
Let f(o) be the second derivative of 1/42*o**4 + 0 - 4/7*o**2 - 1/7*o**3 - 8*o. Factor f(a).
2*(a - 4)*(a + 1)/7
Let u(z) = -z**3 - 9*z**2 - 10*z - 7. Let d be u(-8). Let a(f) = f**2 + 3*f + 5. Let g be a(-4). Determine y so that y**2 + g*y - 3*y - y**2 - y**2 - d = 0.
3
Let a(c) be the third derivative of c**6/120 - c**5/60 - c**4/24 + 10*c**2. Let q(x) = -4*x**2. Let d(m) = -4*a(m) + q(m). Find t, given that d(t) = 0.
-1, 0, 1
Let a(o) be the first derivative of 5*o**9/3024 - o**8/168 - o**7/56 + o**6/9 - o**5/6 + 5*o**3/3 - 36. Let b(c) be the third derivative of a(c). Factor b(i).
5*i*(i - 2)*(i - 1)**2*(i + 2)
Let s(d) = 247*d + 3461. Let v be s(-14). Determine x so that 0 + 0*x - 11/3*x**v - 5/3*x**2 - 7/3*x**4 - 1/3*x**5 = 0.
-5, -1, 0
Suppose -5*k - 45 = -14*k. Suppose k*x - 4*i + 10 = 0, -x - 9*i + 6*i + 17 = 0. Solve -8/5 + 2/5*g**x - 4/5*g + 1/5*g**3 = 0 for g.
-2, 2
Let b = -65 + 69. Factor g**b - 9*g + 273 + 14*g**3 + 59*g - 398 + 60*g**2.
(g - 1)*(g + 5)**3
Let w(s) be the second derivative of -2*s**6/15 + s**5/15 - 14*s**2 + 8*s. Let z(x) be the first derivative of w(x). What is k in z(k) = 0?
0, 1/4
Let k be (-4 - 12)/(2 - 3). Suppose -4*q - 20 = 5*f, 5*f - 3*q + 1 = k. Factor -2/3*g**3 - 2/3*g**2 + 0 + f*g.
-2*g**2*(g + 1)/3
Let u be ((-3)/((-12)/(-10)))/(760/(-608)). Factor -2/7*o**4 + 0*o**3 + u*o**2 - 12/7*o + 0.
-2*o*(o - 2)*(o - 1)*(o + 3)/7
Let j(g) be the first derivative of -1/24*g**4 - 1/6*g**2 + 2 - 1/6*g**3 + 0*g. Let j(b) = 0. Calculate b.
-2, -1, 0
Let s(m) be the third derivative of m**5/30 - 11*m**4/12 + 6*m**3 + 3*m**2 + 24. Factor s(f).
2*(f - 9)*(f - 2)
Suppose 7*g = 8*g - 8. Let d(a) = -a + 10. Let h be d(g). Determine x, given that 16 - 108*x + 108*x - 4*x**h = 0.
-2, 2
Let s(u) be the third derivative of u**8/2520 + 2*u**7/525 + 2*u**6/225 - 8*u**5/225 - 4*u**4/15 - 32*u**3/45 - 4*u**2 - u. Factor s(i).
2*(i - 2)*(i + 2)**4/15
Let c(k) be the first derivative of k**6/2 - 21*k**5/5 - 51*k**4/4 - 9*k**3 + 240. Factor c(x).
3*x**2*(x - 9)*(x + 1)**2
Let a(y) be the third derivative of -y**5/150 - 49*y**4/60 - 16*y**3/5 + 592*y**2. Factor a(w).
-2*(w + 1)*(w + 48)/5
Suppose 2*u - 83 + 79 = 0. Let b(x) be the first derivative of 2 + 1/8*x**4 - 3/2*x + 7/4*x**u - 5/6*x**3. Factor b(p).
(p - 3)*(p - 1)**2/2
Suppose 31 + 389 = 5*m. Let z be ((m/35)/3)/(7/5). Factor 0 - z*y - 4/7*y**2.
-4*y*(y + 1)/7
Factor -16/17*z**2 - 26/17*z - 12/17 - 2/17*z**3.
-2*(z + 1)**2*(z + 6)/17
Let w = -130 - -130. Let k(c) be the second derivative of -5/21*c**3 + 5*c + w - 2/7*c**2 - 1/14*c**4 + 1/70*c**5 + 1/105*c**6. Factor k(v).
2*(v - 2)*(v + 1)**3/7
Suppose -2*u - 3 = 5*r, 0 = -4*u - r - 3*r - 24. Let s be (2/u)/((-38)/57). Find a such that s*a**2 + 0*a + 0 - a**3 = 0.
0, 1/3
Let x(m) be the third derivative of -m**6/320 + m**5/5 - 31*m**4/64 - 106*m**2. Factor x(z).
-3*z*(z - 31)*(z - 1)/8
Let f(k) = 3*k**2 - k + 2. Let t(b) be the third derivative of -b**5/15 + b**4/24 - b**3/2 + 8*b**2. Let r(s) = -3*f(s) - 2*t(s). Suppose r(o) = 0. Calculate o.
0, 1
Let w be (-2)/13 + (-2528)/(-208) + -10. Factor -9/2*t**w + 0*t + 1/2.
-(3*t - 1)*(3*t + 1)/2
Let i(s) = -s**3 - 3*s**2 + 5*s + 6. Let z be i(-4). Solve 5*h**3 - 4*h**3 + h**4 + z*h**2 - 2*h**4 = 0 for h.
-1, 0, 2
Let f(b) be the first derivative of -5*b**5/3 + 215*b**4/12 - 40*b**3/3 + 7. Solve f(h) = 0 for h.
0, 3/5, 8
Let j = 9934 - 9931. Factor 1/2*x**j - 1/4*x**2 + 0 + 0*x - 1/4*x**4.
-x**2*(x - 1)**2/4
Let o(y) be the first derivative of -y**7/560 + y**6/120 - 2*y**3/3 + 14. Let l(s) be the third derivative of o(s). Let l(f) = 0. Calculate f.
0, 2
Let h(k) be the first derivative of -5*k**4/4 + 20*k**3/3 - 15*k**2/2 + 73. Factor h(l).
-5*l*(l - 3)*(l - 1)
Let u be (-272)/(-40) - 2/(-10). Suppose u*w = 2*w + 15. Factor 0 - 2/7*t**4 + 2/7*t**2 - 2/7*t**w + 2/7*t.
-2*t*(t - 1)*(t + 1)**2/7
Factor -23/4*g**2 + 43/4*g - 21/4 + 1/4*g**3.
(g - 21)*(g - 1)**2/4
Let y(q) be the third derivative of -q**6/480 - 13*q**5/60 + q**4/96 + 13*q**3/6 + 129*q**2 - 3. Factor y(g).
-(g - 1)*(g + 1)*(g + 52)/4
Let g(c) be the second derivative of c**7/147 + 13*c**6/105 + 29*c**5/35 + 44*c**4/21 - 32*c**3/21 - 128*c**2/7 - 3*c + 71. Factor g(r).
2*(r - 1)*(r + 2)*(r + 4)**3/7
Let f = 4104 + -4100. Factor 9/5*v**2 + 0 + 0*v**3 + 6/5*v - 3/5*v**f.
-3*v*(v - 2)*(v + 1)**2/5
Let m(k) be the second derivative of -12*k + 1/6*k**4 + 0 - k**2 + 1/10*k**5 - 1/3*k**3. Factor m(b).
2*(b - 1)*(b + 1)**2
Let p be ((-7)/(-1050))/(40/25). Let i(b) be the third derivative of 0 + p*b**6 + 0*b**4 + 0*b**3 + 0*b + b**2 + 0*b**5. Factor i(f).
f**3/2
Let w(y) be the third derivative of y**7/945 + 13*y**6/540 - 29*y**5/270 + 5*y**4/36 - 12*y**2 - 1. Factor w(z).
2*z*(z - 1)**2*(z + 15)/9
Let y be (3/30)/((-531)/(-1770)). Let -5/3*z**2 + 0*z + 0 + 5/3*z**4 - y*z**5 + 1/3*z**3 = 0. Calculate z.
-1, 0, 1, 5
Let g(i) be the third derivative of -5*i**5/12 - 155*i**4/8 + 95*i**3/3 + 15*i**2 + 1. Suppose g(x) = 0. What is x?
-19, 2/5
Determine q so that -64/5 - 128/5*q - 4/5*q**4 - 32/5*q**3 - 96/5*q**2 = 0.
-2
Let t(b) = b**2 - b + 1. Let w(m) = -7*m**2 + 9*m - 10. Let y(p) = -6*t(p) - w(p). Let i be y(7). Factor 0*q**2 - 27 - 14*q + i*q - 3*q**2.
-3*(q - 3)**2
Suppose u - 5*u + 16 = 0. Suppose -3*o - o = -4*z - 16, 0 = -u*o + z + 22. Find r, given that 2*r**2 + 3 - 3*r - r**2 - o + 5*r = 0.
-3, 1
Let t(y) be the third derivative of 0*y**3 + 0*y + 0 + 1/156*y**4 - 4*y**2 + 1/780*y**6 - 1/195*y**5. Solve t(f) = 0.
0, 1
Let z = 58709/4 + -14676. Let 5/4*t**2 + 0 + 0*t + 5/2*t**3 + z*t**4 = 0. What is t?
-1, 0
Let b be 1/2*12/((-22)/(-11)). Find d such that -11/2*d**b - 3/4*d**5 - 1/2 + 1/4*d + 3*d**2 + 7/2*d**4 = 0.
-1/3, 1, 2
Let m = -128 + 127. Let q(u) = 3*u**2 - u. Let s be q(m). Factor -s*d**3 - 4/3*d + 4/3*d**4 + 4*d**2 + 0.
4*d*(d - 1)**3/3
Let h(n) be the second derivative of n**6/1080 - n**5/360 - n**4/12 - 5*n**3/3 + 14*n. Let a(d) be the second derivative of h(d). Determine g so that a(g) = 0.
-2, 3
Suppose 3/4*j**4 + 27/4 + 0*j - 15/2*j**2 + 0*j**3 = 0. Calculate j.
-3, -1, 1, 3
Let s(b) be the third derivative of 7*b**6/100 + 64*b**5/75 + 67*b**4/20 + 6*b**3/5 - 91*b**2. Factor s(l).
2*(l + 3)**2*(21*l + 2)/5
Suppose -6 = -5*z + n + 2*n, n = z - 2. Find f such that z*f**2 + 0*f**3 + 0 + f**4 - 1/2*f**5 + 0*f = 0.
0, 2
Let p(r) be the second derivative of r**4/8 - r**3 - 63*r**2/4 - 142*r. Find y, given that p(y) = 0.
-3, 7
Suppose -2*w = -2*p + 6, 5*p = -0*p - 3*w + 23. Suppose -13 = p*g - 25. Let -g*d**2 - 6/5 + 21/5*d = 0. What is d?
2/5, 1
Let b be 2/(-8) + (-1004)/