**3 = 0.
-1, 0, 1
Let m be 14 - (21280/(-98))/(-19). Suppose -8/7 - 24/7*f - m*f**2 = 0. What is f?
-2/3
Let h(j) be the second derivative of -3*j**5/25 + 7*j**4/4 + 9*j**3/10 - j + 138. Factor h(n).
-3*n*(n - 9)*(4*n + 1)/5
Let s = -18 + 13. Let m be 48/15 + s/25. Suppose -7*p**3 + 11*p**4 + m*p**2 - 7*p**4 - p**2 + p = 0. Calculate p.
-1/4, 0, 1
Let j(w) = w**2 + 2*w + 15. Suppose -p = p. Let u be j(p). Factor u*z**4 + 8*z**5 - 7*z**5 + 15*z**3 + 3*z**5 + z**5 + 5*z**2.
5*z**2*(z + 1)**3
Let z = 4901/5 - 980. Factor -1/5*l**4 + 0*l + 0 - z*l**2 + 2/5*l**3.
-l**2*(l - 1)**2/5
Let h(o) be the first derivative of -o**9/5292 + o**7/1470 - 17*o**3/3 - 18. Let z(l) be the third derivative of h(l). Suppose z(g) = 0. Calculate g.
-1, 0, 1
Let h be ((-9 - -16) + -13)/(42/(-4)). Suppose h*u**3 + 6/7*u**2 - 4/7 - 6/7*u = 0. What is u?
-2, -1/2, 1
Let b be 1/4*2*-4. Let v(d) = -5*d - 2. Let i be v(b). Let 16*l - i + 20 + 4*l + 16*l - 9*l**4 - 9*l**2 - 30*l**3 = 0. What is l?
-2, -1/3, 1
Let -120/11 - 10/11*l**2 - 2/11*l**3 + 8*l = 0. Calculate l.
-10, 2, 3
Let m(x) be the first derivative of -x**3/4 + 45*x**2/8 + 12*x + 84. Factor m(d).
-3*(d - 16)*(d + 1)/4
Let g(a) = a**5 + a**4 - a**3 - a + 1. Let k(f) = -8*f**5 + 111*f**4 - 75*f**3 - 143*f**2 + 87*f + 24. Let p(d) = -12*g(d) - 3*k(d). Let p(z) = 0. Calculate z.
-1, -1/4, 1, 28
Let o be (0 + 28/(-16))*16. Let c = o - -76. Factor -c + 4*j**3 + 16 + 48*j + 201*j**2 - 225*j**2.
4*(j - 2)**3
Let w(f) = -f**3 + 4*f**2 + 7*f - 7. Let x be w(5). Factor -61*t + 67*t + 2*t**2 + 7 - x.
2*(t + 1)*(t + 2)
Suppose 0 = i - 2*w, 4*i - 32*w = -34*w + 10. Let k(j) be the first derivative of 2/21*j**3 + 0*j**i - 5 - 2/7*j. Solve k(q) = 0.
-1, 1
Factor -1/4*n**4 + 27/4*n**3 + 1225/4*n - 1029/2 - 273/4*n**2.
-(n - 7)**3*(n - 6)/4
Let u(n) = n**2 - 22*n + 20. Let i be u(21). Let m be i/(-3 + (-25)/(-10)). Find b such that 2/5 + 1/5*b**m + 3/5*b = 0.
-2, -1
Let z(j) be the first derivative of -11*j - 5 + 1/3*j**4 + 0*j**2 - 2*j**3. Let b(s) be the first derivative of z(s). Factor b(f).
4*f*(f - 3)
Let o(b) be the third derivative of b**7/120 - b**6/30 - b**5/80 + b**4/6 - b**3/6 + 127*b**2. Let o(f) = 0. What is f?
-1, 2/7, 1, 2
Let t(p) = -8*p**2 + 14*p + 210. Let m(x) = -9*x**2 + 20*x + 211. Let w(v) = -6*m(v) + 7*t(v). Factor w(n).
-2*(n - 6)*(n + 17)
Suppose 0 = v + 2*l + l - 57, v = 2*l + 37. Factor 17*z - v*z - 5*z**2 + 23*z.
-5*z*(z + 1)
Suppose 2*y - 306 = -4*y. Let k = 54 - y. Factor -2 + 14/3*a + 2/3*a**k - 10/3*a**2.
2*(a - 3)*(a - 1)**2/3
Let k(s) be the third derivative of -s**6/120 - 11*s**4/24 + 19*s**3/6 - 13*s**2. Let z(b) = 4*b - 6. Let x(g) = 4*k(g) + 14*z(g). Factor x(q).
-4*(q - 1)**2*(q + 2)
Let r(i) = 2*i - 8. Let x be r(6). Let o(d) be the first derivative of -3*d**3 + 7*d**x + 2 + 2 + 18*d**3 - 3*d**3 + 4*d**2. Let o(c) = 0. Calculate c.
-1, -2/7, 0
Let p(f) be the third derivative of f**7/2520 - f**6/180 + f**5/30 + f**4/8 - 7*f**2. Let b(v) be the second derivative of p(v). Factor b(r).
(r - 2)**2
Let b = -45 - -54. Let z be 94/b - 8/(-36). Factor 8/3*d + 0 + 14*d**3 - z*d**2 - 6*d**4.
-2*d*(d - 1)*(3*d - 2)**2/3
Solve 160/11 - 68/11*r + 2/11*r**3 - 10/11*r**2 = 0 for r.
-5, 2, 8
Let b = 224 + 26. Let x be 15/b*4*(-5)/(-3). Let 3/5*j - 1/5*j**3 + 0*j**2 + x = 0. What is j?
-1, 2
Let b(x) be the second derivative of 1/21*x**7 + 0 - 1/10*x**5 + 0*x**4 + 14*x + 0*x**6 + 0*x**2 + 0*x**3. Find w, given that b(w) = 0.
-1, 0, 1
Let l = 4416/35 + -628/5. Factor -1/7*c**2 - l + 4/7*c.
-(c - 2)**2/7
Find w, given that 2/5*w**4 + 26/5*w**2 - 12/5*w + 0 - 16/5*w**3 = 0.
0, 1, 6
Suppose 4*m - 2*m = -6. Let l = 7 + m. Suppose 2*u**4 + l - 4 - u**5 - u**4 = 0. Calculate u.
0, 1
Factor 5*n - 1/4*n**4 + 7/4 + 9/2*n**2 + n**3.
-(n - 7)*(n + 1)**3/4
Let y(h) be the first derivative of -h**6/6 - h**5 - h**4/4 + 17*h**3/3 + 11*h**2 + 8*h - 471. Factor y(m).
-(m - 2)*(m + 1)**3*(m + 4)
Let t be 1938/1995 - 4/7. Find y such that -8/5*y - 2 + t*y**2 = 0.
-1, 5
Let b(l) be the third derivative of 0*l**3 + 1/200*l**6 + 0*l + 0 - 1/40*l**4 + 1/100*l**5 + 30*l**2 - 1/350*l**7. Factor b(o).
-3*o*(o - 1)**2*(o + 1)/5
Let d(i) be the first derivative of 0*i + 1/12*i**3 + 0*i**2 + 1/8*i**4 + 1/20*i**5 - 17. Factor d(a).
a**2*(a + 1)**2/4
Suppose -3*v + v = 0. Let x(c) be the third derivative of 6*c**2 - 1/60*c**4 + 0 + 1/300*c**5 + 0*c + v*c**3. Factor x(y).
y*(y - 2)/5
Factor -217*d**2 + 46*d**3 - 3*d**4 - 211*d**3 - 171*d + 6*d**4 - 72*d**2 - 50*d**2.
3*d*(d - 57)*(d + 1)**2
Let i(j) be the first derivative of -12 - 9/2*j**3 - 21/10*j**5 + 0*j**2 + 0*j - 45/8*j**4 - 1/4*j**6. Factor i(g).
-3*g**2*(g + 1)*(g + 3)**2/2
Let j(d) be the second derivative of 3*d**4/4 + 37*d**3/2 - 39*d**2 - 79*d. Factor j(c).
3*(c + 13)*(3*c - 2)
Let x(h) be the first derivative of 0*h - 9/4*h**4 + 6/5*h**5 - 1/4*h**6 + 12 + 2*h**3 - 3/4*h**2. Factor x(c).
-3*c*(c - 1)**4/2
Let l(w) be the third derivative of -1/2*w**3 + 0 + 0*w + 5/8*w**4 - 1/8*w**6 + 2/35*w**7 - 10*w**2 - 3/20*w**5. Find u such that l(u) = 0.
-1, 1/4, 1
Let b = -142 + 142. Factor -20*m**3 - 5 + b - 419*m**2 + 20*m + 424*m**2.
-5*(m - 1)*(m + 1)*(4*m - 1)
Suppose u - 7/4*u**4 + 0 + 15/4*u**3 - 13/4*u**2 + 1/4*u**5 = 0. Calculate u.
0, 1, 4
Let t(q) be the third derivative of -q**6/240 - 2*q**5/15 + 2*q**2 - 385. Determine h so that t(h) = 0.
-16, 0
Let f(x) be the second derivative of -2*x**6/5 + x**5/4 + x**4/2 + x**3/6 + 2*x + 5. Factor f(c).
-c*(c - 1)*(3*c + 1)*(4*c + 1)
Let m = -11798 + 23641/2. Let u = 41/10 + 3/20. Find r, given that -m*r**4 + 1/2 + 81/4*r**5 + u*r + 8*r**2 - 21/2*r**3 = 0.
-1/3, -2/9, 1
Let g(f) = 11*f**3 - 154*f**2 + 2916*f - 17492. Let j(z) = -20*z**3 + 310*z**2 - 5832*z + 34985. Let u(t) = 7*g(t) + 4*j(t). Find s such that u(s) = 0.
18
Let s(c) be the third derivative of c**8/84 + 8*c**7/75 - 17*c**6/150 - 28*c**5/75 + 2*c**4/5 - 2*c**2 + 4. Suppose s(y) = 0. What is y?
-6, -1, 0, 2/5, 1
Let c = -75 + 79. What is w in 22*w**3 + 7*w**4 - 18*w**3 - 3*w**c = 0?
-1, 0
Factor -5/2 - 3/2*r**2 - 1/2*r**3 + 9/2*r.
-(r - 1)**2*(r + 5)/2
Let j(w) be the third derivative of w**5/240 + w**4/12 + 116*w**2. What is s in j(s) = 0?
-8, 0
Let v be 9/((-1215)/156) + 3. Let d = v - 7/5. Factor -d*k + 2/3*k**2 - 2/9*k**3 + 0.
-2*k*(k - 2)*(k - 1)/9
Suppose 0 = -8*m + 4*m + 960. Determine o so that 1200*o**4 + 3945*o**4 + 16 - 3920*o**3 + 114*o**2 - m*o - 2401*o**5 + 1286*o**2 = 0.
2/7, 1
Let l(b) be the third derivative of 1/336*b**8 + 2/105*b**7 - 1/30*b**5 + 1/30*b**6 - 1/3*b**3 - 5/24*b**4 + 0*b + 0 - 15*b**2. Factor l(z).
(z - 1)*(z + 1)**3*(z + 2)
Suppose 48*z = 49*z - 17. Factor 3*f**2 - 13*f + z*f - f.
3*f*(f + 1)
Let z be (10/30)/(-1*2/(-18)). Let j(o) be the third derivative of 1/160*o**6 + 0*o + 0 + 6*o**2 - 1/24*o**z + 1/48*o**5 + 1/96*o**4. Factor j(v).
(v + 1)**2*(3*v - 1)/4
Suppose 34*i = 28*i. Let h(y) be the third derivative of -y**2 + 0 + 0*y**4 - 1/60*y**5 + 0*y**3 + i*y + 1/120*y**6. Factor h(u).
u**2*(u - 1)
Let a be -10 + 0 - (8 - 22). Let x be 11/3 - (1 + 0). Factor 2/3*w**a + 0*w - x*w**5 + 0*w**3 + 0*w**2 + 0.
-2*w**4*(4*w - 1)/3
Let m be (108/(-702))/((-24)/26). Let s(x) be the second derivative of -m*x**4 + 1/3*x**3 - 8*x - 1/10*x**5 + 0 + x**2. Factor s(i).
-2*(i - 1)*(i + 1)**2
What is o in -157 - 2*o**2 - 1 - 8*o**2 - 244*o + 62 = 0?
-24, -2/5
Let b(v) = 6*v**2 - 3*v - 25. Let t(g) = -5*g**2 + 4*g + 25. Suppose u + f = -6, -2*f = -5*u - f - 30. Let y(a) = u*b(a) - 7*t(a). Let y(c) = 0. What is c?
-5
Let v(r) be the second derivative of -r**8/10080 - r**7/1890 - r**6/1080 - r**4/3 - 2*r. Let p(i) be the third derivative of v(i). Suppose p(f) = 0. What is f?
-1, 0
Let k(p) be the third derivative of -2*p**7/105 + p**6/6 - 7*p**5/15 + p**4/2 - 75*p**2. Factor k(a).
-4*a*(a - 3)*(a - 1)**2
Determine h so that 1 + 431*h - h**4 - 1 - 429*h + 1 - 2*h**3 = 0.
-1, 1
Solve 128/5*r**2 + 42/5*r**3 + 56/3*r + 8/15*r**4 - 32/5 = 0.
-12, -2, 1/4
Let x(g) be the third derivative of g**6/120 - g**5/20 - 11*g**4/24 + 7*g**3/6 - 14*g**2. Let h be x(5). Factor -2/5*y**h + 1/5*y**3 + 0 + 1/5*y.
y*(y - 1)**2/5
Let k(a) = 37*a + 259. Let l be k(-7). Factor 2/13*x**5 + l + 0*x**2 + 4/13*x**4 + 0*x + 2/13*x**3.
2*x**3*(x + 1)**2/13
Let l = 15 + -5. Suppose -29*u