(k) be the third derivative of -9*k**2 - 1/735*k**7 + 0*k**3 + 0 + 1/84*k**4 + 1/140*k**6 + 0*k - 1/70*k**5. Factor m(t).
-2*t*(t - 1)**3/7
Suppose 5*s + 78 - 76 = 4*k, 0 = s + 3*k - 11. Factor 0*p**s - 1/3*p + 0*p**4 + 2/3*p**3 + 0 - 1/3*p**5.
-p*(p - 1)**2*(p + 1)**2/3
Let h(p) = 58*p - 406. Let z be h(7). Let d(f) be the third derivative of z*f - 1/15*f**3 + 0 - 4*f**2 - 1/600*f**5 - 1/48*f**4. Let d(k) = 0. What is k?
-4, -1
Let m(c) = -3*c**3 + 12*c**2 - 12. Suppose -2*j - 15 = 3*j. Let d(u) = -6*u**3 + 23*u**2 - 24. Let t(x) = j*d(x) + 5*m(x). Factor t(i).
3*(i - 2)**2*(i + 1)
Let i(o) be the first derivative of -1 + 1/3*o**3 + 5/2*o**2 - 6*o. Suppose i(t) = 0. Calculate t.
-6, 1
Let a(m) be the third derivative of 0*m**3 + 0*m**4 - 10*m**2 + 0 + 0*m + 1/6*m**5 + 1/24*m**6. Factor a(u).
5*u**2*(u + 2)
Let o = 19 - 16. Let i(h) be the third derivative of 0 + 0*h - o*h**2 + 1/300*h**6 + 0*h**3 - 1/30*h**4 + 1/150*h**5. Let i(d) = 0. What is d?
-2, 0, 1
Let d(c) = -c**3 + 9*c**2 - 6*c - 11. Let m be d(8). Suppose 20 = h + m*i, 0 = -h - i + 3*i - 1. Determine p so that 2*p + 3*p - 4*p**2 - h*p = 0.
0
Let y(q) be the first derivative of -35*q**4/4 + 200*q**3/3 - 110*q**2 - 80*q + 86. Factor y(r).
-5*(r - 4)*(r - 2)*(7*r + 2)
Let c(n) = -n**3 - n**3 + 3*n**2 + 16 + 5*n**3 - 3*n**4 - 19. Let z(h) = -3*h**4 + 2*h**3 + 3*h**2 - 2. Let t(g) = 2*c(g) - 3*z(g). Suppose t(k) = 0. What is k?
-1, 0, 1
Factor -3*y**4 + 2555*y**3 - y**4 - 2547*y**3.
-4*y**3*(y - 2)
Let w(s) be the first derivative of -4*s**3/9 - 30*s**2 - 344*s/3 - 746. Factor w(q).
-4*(q + 2)*(q + 43)/3
Let x be -1*(-9)/3 - -1. Let g be (-1 + 23 + 0)*x/20. Factor 22/5*v**3 - g*v + 4/5*v**2 - 4/5.
2*(v - 1)*(v + 1)*(11*v + 2)/5
Factor 60/7*q - 9 + 3/7*q**2.
3*(q - 1)*(q + 21)/7
Let f(g) be the second derivative of g**6/30 + g**5/30 - g**4/12 + 4*g**2 - 5*g. Let k(x) be the first derivative of f(x). Find d such that k(d) = 0.
-1, 0, 1/2
Let k be (-348)/(-84) - (-2)/(-14). Suppose -14 = -k*n - 2. Factor 3/5*p - 3/5*p**n - 6/5 + 6/5*p**2.
-3*(p - 2)*(p - 1)*(p + 1)/5
Let k(r) be the third derivative of 0*r + 33*r**2 - 1/15*r**5 - 1/168*r**8 + 4/105*r**7 - 1/15*r**6 - 2/3*r**3 - 2 + 5/12*r**4. Solve k(g) = 0.
-1, 1, 2
Suppose 5*v - 43 = -8. Suppose -2 = -0*n - n - 5*m, 0 = m. Factor 4*l + n*l**2 + l**4 - v*l**4 + 16*l**4 - 16*l**3.
2*l*(l - 1)**2*(5*l + 2)
Find l, given that 54*l**3 - 108*l**2 - 16*l + 12*l + 85*l + l**5 - 12*l**4 = 0.
0, 3
Let v(c) be the third derivative of -c**8/3360 - c**7/1260 + c**6/180 - 13*c**4/24 - 9*c**2. Let g(x) be the second derivative of v(x). Factor g(r).
-2*r*(r - 1)*(r + 2)
Let u(n) be the second derivative of n**4/12 + 9*n**3/2 - 45*n**2 + 134*n. Determine a so that u(a) = 0.
-30, 3
Factor -31*t**2 + 4*t - 6*t + 33*t**2.
2*t*(t - 1)
Suppose -4*p = 2*o + 172, -4*p - 5*o - 91 = 69. Let q = -43 - p. Factor 1/4*w**3 - 1/4*w**5 - 1/4*w**4 + 0 + 1/4*w**q + 0*w.
-w**2*(w - 1)*(w + 1)**2/4
Let s = -68 + 62. Let d(a) = 4*a**2 - 20*a - 12. Let l(y) = -13*y**2 + 59*y + 36. Let u(i) = s*l(i) - 17*d(i). Factor u(n).
2*(n - 2)*(5*n + 3)
Let j(m) = 6*m - 24. Let g be j(4). Suppose -4*s = -2*u + u + 1, -s = -5*u + 5. Factor 1/4*w**5 + g + 3/4*w**3 - 1/4*w**2 + s*w - 3/4*w**4.
w**2*(w - 1)**3/4
Let b be (-50)/(-18) + (-1)/5*480/(-432). Suppose -42*z - 9*z**2 + 12 + 57/2*z**b + 21/2*z**4 = 0. Calculate z.
-2, 2/7, 1
Suppose 0*y**3 - 90*y + 45*y**2 - 5/3*y**4 + 0 = 0. Calculate y.
-6, 0, 3
Let i = 754 - 5260/7. What is d in -22/7*d**3 - i*d**2 - 8/7 + 48/7*d = 0?
-2, 2/11, 1
Let a(c) be the first derivative of c**6/3 - 12*c**5/7 + 29*c**4/14 - 4*c**3/7 + 212. Determine g so that a(g) = 0.
0, 2/7, 1, 3
Factor 4/7*x**3 - 4/7*x + 2/7 - 2/7*x**4 + 0*x**2.
-2*(x - 1)**3*(x + 1)/7
Let g = 6 + -4. Let j be (-1)/(4*(-4)/208). Let 3 + j - 8*o + g*o**2 - o**2 = 0. Calculate o.
4
Let m = -2342 + 7028/3. Determine h so that 0 + m*h**3 + 0*h**2 - 2/3*h = 0.
-1, 0, 1
Let q(g) be the third derivative of -g**8/112 - 19*g**7/14 - 361*g**6/4 - 6859*g**5/2 - 651605*g**4/8 - 2476099*g**3/2 - 2*g**2 + 1. Factor q(v).
-3*(v + 19)**5
Let y be (1/1)/((-1)/6*-3). Find n such that 12*n + 7*n**2 - 43*n**3 + 28*n**y + 31*n**3 + n**4 + 8 - 44 = 0.
-1, 1, 6
Let q = 118 + -116. Factor -3*z - 9/4 - 3/4*z**q.
-3*(z + 1)*(z + 3)/4
Suppose 0 = 3*h - 4*h + 5. Suppose 0 = -h*s - 1 + 11. Solve 2*m**s + 8*m**5 + 5*m**5 + 4*m - 6*m**3 - 11*m**5 - 2*m**4 = 0 for m.
-1, 0, 1, 2
Let c be 2*(-1)/(-3 + 2). Let n = 37312 + -37312. Suppose n - 2/7*u + 4/7*u**c - 2/7*u**3 = 0. What is u?
0, 1
Let l(w) be the second derivative of w**8/67200 + w**7/25200 - w**6/3600 + w**4/12 + 3*w. Let q(c) be the third derivative of l(c). Find u, given that q(u) = 0.
-2, 0, 1
Let z(s) = -13*s**2 - 65*s - 172. Let t(y) = 2*y**2 - 2. Let m(v) = 4*t(v) + z(v). Factor m(a).
-5*(a + 4)*(a + 9)
Let z(s) = -29*s - 1. Let m be z(-1). Suppose -3*i = 4*l + 2, -7*i + 12*i - 5*l = 55. Factor -i*b**4 - 2*b**2 - m*b**3 - 6*b**2 - 14*b**4.
-4*b**2*(b + 1)*(5*b + 2)
Let u(n) = -n**3 + 9*n**2 - 6*n - 11. Let y be u(8). Suppose 5*t - 4*d - 104 = 0, t - 2*d = 2*d + 24. Factor 7 - 32*f**2 + 6*f - y - 8 + 8*f**3 + t*f.
2*(f - 3)*(2*f - 1)**2
Let w(j) be the first derivative of -5*j**4/2 - 2*j**3/3 - 2*j**2 + 9*j + 34. Let g(a) = -3*a**3 - a**2 - a + 3. Let t(k) = 7*g(k) - 2*w(k). Factor t(q).
-(q - 1)*(q + 1)*(q + 3)
Let n be -8*(-40)/32 - 6. Solve 0 + 0*q**2 + 0*q + 1/4*q**n - 1/4*q**5 + 1/2*q**3 = 0.
-1, 0, 2
Let z be (2/(-2) - -1)*-1. Let o = -31361/3 + 10454. Determine a so that 4/3 - o*a**2 + z*a = 0.
-2, 2
Let p(a) = -2*a**2 + 2*a + 1. Let v(u) = u**2 - u - 1. Suppose 11*q - 8*q - 6 = 0. Let o be q - (-4 + 1 + 7). Let n(h) = o*v(h) - 2*p(h). Factor n(d).
2*d*(d - 1)
Let p(w) be the second derivative of -w**4/54 + 49*w**3/27 + 34*w**2/3 + 84*w - 4. What is k in p(k) = 0?
-2, 51
Let h = -320 + 1040/3. Let o = h - 26. What is m in 0*m - 4/3*m**3 + 0*m**2 - o*m**4 + 2*m**5 + 0 = 0?
-2/3, 0, 1
Let k be ((-24)/6 - -3)*-2. Let y(p) be the third derivative of 0 + 1/3*p**3 - 1/6*p**4 - 7*p**k + 1/30*p**5 + 0*p. Determine u, given that y(u) = 0.
1
Let s = 1805 - 1800. Let i(l) be the first derivative of s + l**2 + 1/3*l + l**3. Factor i(z).
(3*z + 1)**2/3
Let n = -3437 + 3437. Factor n*l + 3/4*l**2 - 1 - 1/4*l**3.
-(l - 2)**2*(l + 1)/4
Let j(w) be the second derivative of -w**4/36 + w**3/2 - 4*w**2/3 + 111*w. What is o in j(o) = 0?
1, 8
Let y = -3729 + 7459/2. Factor 3/2*p + y*p**2 + 1.
(p + 1)*(p + 2)/2
Let j(x) = -x**2 - 2*x + 26. Let t be j(4). Let d(o) be the first derivative of -o**5 + 0*o**2 + 4 - 1/6*o**6 + 0*o - 4/3*o**3 - t*o**4. Solve d(p) = 0 for p.
-2, -1, 0
Let h(o) be the second derivative of -o**5/10 + 21*o**4 - 1764*o**3 + 74088*o**2 + 109*o. Factor h(w).
-2*(w - 42)**3
Let j(n) = n**3 - 4*n**2 + 4*n + 5. Suppose 0 = 3*t - 7*t + 16. Let b be j(t). Solve -b + 5*a**2 + 18 - 2*a**2 = 0 for a.
-1, 1
Let u be 0*1*((-18)/(-12))/3. Let b(a) be the second derivative of -1/10*a**5 + 0*a**2 + 0*a**4 + 0 - 6*a + u*a**3. Determine z so that b(z) = 0.
0
Let v(t) be the second derivative of 0*t**3 + 0 - 15*t + 1/126*t**7 + 1/60*t**5 + 0*t**2 - 1/45*t**6 + 0*t**4. Factor v(g).
g**3*(g - 1)**2/3
Let c be (-1 + 0)*-1*48. Let u be c/28 - 2/(-7). Determine p, given that -6*p + 4 - 2*p**2 - u*p**2 + p**3 + 5*p**3 = 0.
-1, 2/3, 1
Let n(y) be the second derivative of -y**6/75 - 9*y**5/50 + 9*y**4/2 - 153*y**3/5 + 486*y**2/5 + 800*y. Factor n(a).
-2*(a - 3)**3*(a + 18)/5
Let u(p) be the third derivative of -p**6/120 - p**5/5 + p**4/2 - 3*p**3/2 - 5*p**2. Let j be u(-13). Let -8 - 2*w**2 - 6 + 6*w - j + 6*w = 0. Calculate w.
3
Let o = -3503/5 - -701. Suppose s = -1 + 3. Factor -o*q + 2*q**3 - 2/5*q**s - 6/5*q**4 + 0.
-2*q*(q - 1)**2*(3*q + 1)/5
Let g = 22 + -25. Let t be -1 - (1 + 7/g). Find b, given that t*b**2 - 4/3*b + 1 = 0.
1, 3
Let n(d) be the first derivative of d**7/56 - d**6/10 + 9*d**5/80 + d**4/4 - d**3/2 - 24*d + 16. Let m(p) be the first derivative of n(p). Solve m(b) = 0.
-1, 0, 1, 2
Let p(a) be the first derivative of -a**4/4 - 5*a**3 - 19*a**2 - 24*a + 254. Let p(v) = 0. Calculate v.
-12, -2, -1
Factor -272/15*g + 9248/15 + 2/15*g**2.
2*(g - 68)**2/15
Let x be (-1)/4*(9 - 8)*-8. Let q(a) = 17*a - 30. Let f be q(x). Suppose 0 + 0*o**2 - 2/9*o**3 + 0*o 