c) be the second derivative of -c**8/112 + c**7/168 + c**6/24 - c**5/24 + 23*c**3/6 + 22*c. Let x(s) be the second derivative of v(s). Factor x(j).
-5*j*(j - 1)*(j + 1)*(3*j - 1)
Let c = 707 - 3521/5. Let s = c - 2/15. Factor -s*g + 0 + 2/3*g**2.
2*g*(g - 4)/3
Let d(r) = 5*r + 27. Suppose -n + 22 = -5*m + 2*n, 5*m - 5*n = -20. Let l be d(m). Suppose -2/9*u**3 + 0 + 4/9*u**l - 2/9*u = 0. Calculate u.
0, 1
Suppose 0 = -12*b + 3953 - 3953. Solve b - 3/4*j**3 + 0*j**2 + 3/4*j = 0.
-1, 0, 1
Suppose 2/17*f**4 + 0 + 0*f**2 + 2/17*f**3 + 0*f = 0. Calculate f.
-1, 0
Let z = 4457 + -49025/11. Factor 4/11*c**3 - 4/11*c**2 + 2/11*c**4 - 2/11*c**5 + z - 2/11*c.
-2*(c - 1)**3*(c + 1)**2/11
Let o(n) be the first derivative of n**6/48 + 3*n**5/20 - n**4/32 - n**3/4 - 124. Factor o(s).
s**2*(s - 1)*(s + 1)*(s + 6)/8
Let k = -29571 + 29575. Factor 0*p**k - 6/7*p**2 + 0 + 1/7*p**5 - p**3 + 0*p.
p**2*(p - 3)*(p + 1)*(p + 2)/7
Let d(i) = -7*i**2 + 11*i - 6. Let t(n) be the third derivative of n**5/10 - 5*n**4/12 + n**3 - 27*n**2. Let m(f) = -5*d(f) - 6*t(f). Let m(a) = 0. Calculate a.
2, 3
Let f(p) be the second derivative of p**7/1260 - p**6/270 - 2*p**3/3 + 21*p. Let u(d) be the second derivative of f(d). Solve u(a) = 0.
0, 2
Let q(t) = -8*t**2 - 8*t - 14. Let o(z) = 5*z - 1247*z**2 - 2*z + 1250*z**2 + 5. Let y(a) = 14*o(a) + 5*q(a). Suppose y(h) = 0. What is h?
-1, 0
Let h(r) be the second derivative of -r**6/180 - r**5/24 - r**4/8 - 7*r**3/36 - r**2/6 - 41*r. Let h(w) = 0. Calculate w.
-2, -1
Let o(t) = -t**3 - 27*t**2 - 38*t - 28. Let b(x) = 3*x**2 + 1. Let u(y) = 4*b(y) + o(y). Factor u(z).
-(z + 1)*(z + 2)*(z + 12)
Find w such that 8*w**3 + 2*w**2 + 5 + 0*w**3 - 18 + 0*w**2 + 5 - 32*w = 0.
-2, -1/4, 2
Let j(u) be the second derivative of 3/4*u**2 - 1/16*u**4 - 17*u + 0 - 1/8*u**3. Solve j(t) = 0.
-2, 1
Let w(o) be the second derivative of o**9/1890 + 3*o**8/1120 + o**7/630 + 7*o**4/12 + 11*o. Let z(l) be the third derivative of w(l). Factor z(y).
2*y**2*(y + 2)*(4*y + 1)
Let j(f) = 3*f**4 + 131*f**3 + 822*f**2 + 1694*f + 1001. Let d(s) = s**3 - 2*s - 2. Let p(m) = -d(m) - j(m). Suppose p(u) = 0. What is u?
-37, -3, -1
Let i = -883/12 + 35/12. Let a = 71 + i. Determine y so that y + 2/3 - a*y**3 + 0*y**2 = 0.
-1, 2
Let j(d) be the second derivative of -d**8/3360 - d**7/1680 + d**6/360 + d**5/80 - 7*d**4/3 - 39*d. Let c(l) be the third derivative of j(l). Factor c(u).
-(u - 1)*(u + 1)*(4*u + 3)/2
Find y, given that 15*y - 80*y**2 + 212*y**3 + 18*y - 17*y + 2*y**5 - 32*y**4 + 10*y - 128*y**3 = 0.
0, 1, 13
Factor -2/3*k**2 - 44376 - 344*k.
-2*(k + 258)**2/3
Factor -60*f**4 - 363*f - 53*f**3 - 5*f**3 - 3*f**5 + 660*f**2 - 176*f**3.
-3*f*(f - 1)**2*(f + 11)**2
Let u(a) be the first derivative of 2*a**3/7 - 121*a**2/7 + 80*a/7 - 224. Factor u(h).
2*(h - 40)*(3*h - 1)/7
Let t = -29 + 27. Let m be ((-7)/42)/(t/8). Factor 0 + m*k**2 - 2/3*k.
2*k*(k - 1)/3
Suppose -3*k - 11 = 1. Let o be 2 - k - (1 - -3). Factor 12/7*b**o + 2/7 + 8/7*b + 2/7*b**4 + 8/7*b**3.
2*(b + 1)**4/7
Let t(m) be the first derivative of -2/3*m**6 + 0*m**4 + 2*m**2 + 8/3*m**3 - 8/5*m**5 + 1 + 0*m. Find f such that t(f) = 0.
-1, 0, 1
Let f = 3443/6878 + -2/3439. Determine l so that -f*l**3 + 1/2 - 1/2*l**2 + 1/2*l = 0.
-1, 1
Let w = 231 - 229. Let h be 133/(-38)*(92/(-42) - -2). Let h*x**3 + 0*x + 1/2*x**w + 0 + 1/6*x**4 = 0. What is x?
-3, -1, 0
Let f(s) be the third derivative of -s**5/15 + s**4/2 - 4*s**3/3 - s**2 - 27. Factor f(q).
-4*(q - 2)*(q - 1)
Let u(p) be the second derivative of -p**5/50 - 4*p**4/15 - 4*p**3/5 - 8*p + 14. Let u(d) = 0. What is d?
-6, -2, 0
Let t(o) = -4*o**3 - 112*o**2 - 108*o - 20. Let a(w) = -1. Let d(c) = -20*a(c) + t(c). Factor d(j).
-4*j*(j + 1)*(j + 27)
Let m be (-2)/4*(2 - 2). Suppose -5*q = 3*d - 19, m = -2*q - d + 6*d - 11. Factor -4/9 - 2/9*r + 2/9*r**3 + 4/9*r**q.
2*(r - 1)*(r + 1)*(r + 2)/9
Let u(o) = o**3 - 11*o**2 + 9*o + 12. Suppose -18*g = -11*g - 70. Let f be u(g). Factor -1/2*b**f + 0 - 1/4*b**3 - 1/4*b.
-b*(b + 1)**2/4
Suppose 29*h - 22*h = 0. Let l(r) be the third derivative of -1/15*r**4 + 1/150*r**5 + 0*r + 4/15*r**3 + 4*r**2 + h. Suppose l(t) = 0. What is t?
2
Let l(y) be the first derivative of 5*y**4/4 - 10*y**3 + 30*y**2 - 40*y + 7. Solve l(i) = 0.
2
Let p(s) be the first derivative of 3*s**5/20 + 15*s**4/4 - s**3/4 - 15*s**2/2 - 125. Find o such that p(o) = 0.
-20, -1, 0, 1
Let w(v) = 5*v**5 + 2*v**4 - 15*v**3 - 10*v**2 - 2. Let q(l) = 10*l**5 + 5*l**4 - 30*l**3 - 20*l**2 - 5. Let c(d) = 2*q(d) - 5*w(d). Let c(k) = 0. Calculate k.
-1, 0, 2
Let t(q) be the first derivative of -5*q**3/27 + 4*q**2/9 + 4*q/9 - 73. Factor t(a).
-(a - 2)*(5*a + 2)/9
Let k be 0 - ((-8)/(-160))/(3/(-8)). Let r(c) be the second derivative of -3/25*c**5 - 1/30*c**4 + k*c**3 + 0 + 1/10*c**2 + 3/50*c**6 - 10*c. Factor r(x).
(x - 1)**2*(3*x + 1)**2/5
Let x(n) be the first derivative of n**3/3 - 9*n**2/2 + 2*n + 5. Let u be x(9). Factor -q**2 + 2*q + q**2 - 5*q**4 + q**4 + 4*q**u - 2*q**5.
-2*q*(q - 1)*(q + 1)**3
Let z be 0 + 4 + (-1452)/396. Let o(i) be the first derivative of 11 + 0*i + i**2 - z*i**3. Determine v, given that o(v) = 0.
0, 2
Suppose 5*a + b = 40, 1 = -3*a + 4*b + 2. Suppose 3*n = 2*p + 19, -47 + a = -5*n + 5*p. What is c in 23*c - c**2 + 2*c**2 - c**4 - 24*c + 0*c**2 + c**n = 0?
-1, 0, 1
Suppose -2057/4*u**3 + 1331/4*u**4 + 429/2*u**2 + 2 - 35*u = 0. What is u?
2/11, 1
Suppose -4*a + 305 = 297. Let k(l) be the first derivative of -4/3*l**3 + a*l**2 - l**4 + 14 + 4*l. Factor k(j).
-4*(j - 1)*(j + 1)**2
Let q(z) be the first derivative of -3/2*z**2 - z**3 - 2 + 0*z. Factor q(v).
-3*v*(v + 1)
Let t(x) be the second derivative of 7*x**6/6 - 19*x**5/4 + 10*x**4/3 + 10*x**3/3 + 49*x - 1. Suppose t(f) = 0. Calculate f.
-2/7, 0, 1, 2
Let u(x) be the first derivative of -x**4/4 - 32*x**3/3 - 29*x**2/2 + 65*x + 22. Let b be u(-31). Factor 2/3 - 1/3*h**b + 1/3*h - 2/3*h**2.
-(h - 1)*(h + 1)*(h + 2)/3
Let k = 131/5 - 26. Let n(r) = 4*r + 4. Let c be n(0). Factor 1/5*i**c + k*i**5 - 2/5*i**2 + 1/5 - 2/5*i**3 + 1/5*i.
(i - 1)**2*(i + 1)**3/5
Let b(k) be the third derivative of k**5/390 - 19*k**4/156 - 20*k**3/39 + 68*k**2. Factor b(t).
2*(t - 20)*(t + 1)/13
Let q be 0 + 6 + (-5 - (-108)/(-132)). Factor q*y**2 + 0 + 2/11*y.
2*y*(y + 1)/11
Suppose 4*r - 16 = -3*t, r + 2*t - 10 + 6 = 0. Let o(j) be the first derivative of 0*j + 3 - 1/4*j**r - 1/2*j**2 + 2/3*j**3. Determine l so that o(l) = 0.
0, 1
Let r(u) be the first derivative of u**6/5 + 2*u**5/5 - u**4/6 - 2*u**3/3 + 33*u - 26. Let l(t) be the first derivative of r(t). Find q, given that l(q) = 0.
-1, 0, 2/3
Let w = -1 + 3. Suppose -5*k = 3*f - 32, -k + 5*f = w*k + 8. Factor 2*j - 6*j**3 - 4*j + j - 4*j**4 - j**5 - k*j**2.
-j*(j + 1)**4
Suppose 3*b = 3*w - 0*b - 9, -4*w + 2*b = -14. Let l be 3 - 1 - 3 - (-6)/w. Factor -1/4 - l*u - 1/4*u**2.
-(u + 1)**2/4
Factor 2/5*s**3 + 664/5 + 174/5*s**2 + 672/5*s.
2*(s + 2)**2*(s + 83)/5
Factor -102*a**2 + 3675 + 3/2*a**3 + 3255/2*a.
3*(a - 35)**2*(a + 2)/2
Let j(g) be the third derivative of -1/8*g**6 - 5/6*g**4 + 2/3*g**5 - 12*g**2 + 0 + 0*g**3 + 0*g. Determine q so that j(q) = 0.
0, 2/3, 2
Let f(g) be the first derivative of 5/3*g**3 + 5/4*g**4 + 0*g + 0*g**2 - 9. Factor f(u).
5*u**2*(u + 1)
Suppose -2*i - i - 3*a + 6 = 0, -4*i - 3*a = -10. Suppose t = i*t. Find p such that 0 + 2/11*p**2 + 6/11*p**5 - 2/11*p**4 + t*p - 6/11*p**3 = 0.
-1, 0, 1/3, 1
Let n be (((-70)/630)/(1/9))/(4/(-2)). Solve -4*b + 8 + n*b**2 = 0.
4
Let z(h) = -15*h**3 - 48*h**2 + 48*h + 128. Let a(l) = 76*l**3 + 240*l**2 - 240*l - 640. Let b(m) = 5*a(m) + 24*z(m). Factor b(c).
4*(c + 2)**2*(5*c - 8)
Let h(a) be the second derivative of -2*a**6/15 + 58*a**5/5 - 841*a**4/3 - 5*a. Solve h(p) = 0.
0, 29
Let j be 13/(-182)*-62 + -1*3/7. What is y in -2/5*y**5 + 0 - 6/5*y**3 + 2/5*y**2 + 6/5*y**j + 0*y = 0?
0, 1
Let d(v) be the third derivative of 0*v**3 + 7*v**2 + 1/40*v**4 + 0 + 0*v - 1/100*v**5. Suppose d(z) = 0. Calculate z.
0, 1
Suppose -21*k = -31 - 74. Let p be (-20)/k - (4 + -11). Solve -2*m**2 - 6/11*m**5 - 26/11*m**4 - 4/11*m + 0 - 38/11*m**p = 0 for m.
-2, -1, -1/3, 0
Let w(h) be the first derivative of 0*h + 3*h**4 - 16/3*h**3 - 7 - 1/3*h**6 + 0*h**5 + 3*h**2. Find y such that w(y) = 0.
-3, 0, 1
Let 