 + 14*s - 5. Let w(u) = 4*u**2 - 15*u + 5. Let x(v) = -3*w(v) - 2*z(v). Let l(h) = 5*q(h) + x(h). Factor l(f).
-4*f*(f - 3)
Let k be (-446 - -466) + 38/(-4). Solve 3/2*m**2 + 9*m - k = 0.
-7, 1
Let l(p) be the first derivative of -10/9*p**2 + 4/27*p**3 + 16/9*p + 11. Factor l(b).
4*(b - 4)*(b - 1)/9
Determine u, given that 0 - u + 1/3*u**3 + 2/3*u**2 = 0.
-3, 0, 1
Let w(a) = -40*a**3 - 2*a**2 + 4*a + 4. Let m be w(-2). Let u = m + -1531/5. Determine p so that 0 + 0*p + u*p**2 - 3/5*p**3 = 0.
0, 3
Let j(f) be the second derivative of -f**8/6720 - f**7/1120 - f**6/480 - f**5/480 - f**3 + 12*f. Let k(x) be the second derivative of j(x). Factor k(u).
-u*(u + 1)**3/4
Let u(p) be the first derivative of p**6/70 - p**4/14 + 3*p**2/14 - 2*p - 15. Let x(z) be the first derivative of u(z). Factor x(s).
3*(s - 1)**2*(s + 1)**2/7
Let v = -2 - -4. Determine a, given that 64 - 2*a**2 - 9*a**v + a**3 + 23*a**2 + 48*a = 0.
-4
Let n(t) be the second derivative of -2 - 1/8*t**4 + 0*t**2 - 9*t + 21/40*t**5 + 1/20*t**6 - 7/4*t**3. Factor n(m).
3*m*(m - 1)*(m + 1)*(m + 7)/2
Suppose 66 = 43*s - 41*s. Factor -s*m**2 + 70*m**2 + 3*m - 36*m**2 - 6 - 4*m.
(m - 3)*(m + 2)
Let n = -1551 + 6209/4. Determine d so that -1/4 + 1/4*d + n*d**2 + 3/4*d**3 = 0.
-1, 1/3
Let s(u) be the first derivative of u**5/15 + 53*u**4/12 + 17*u**3/3 - 53*u**2/6 - 52*u/3 - 304. Factor s(k).
(k - 1)*(k + 1)**2*(k + 52)/3
Let t = 99 - 96. Let a(i) be the first derivative of 9*i - t*i**2 - 2 + 1/3*i**3. What is s in a(s) = 0?
3
Solve 4356/5 + 1/5*z**2 + 132/5*z = 0.
-66
Let d(o) = 2*o**3 - o. Let g(v) = v**4 + v**3 + v**2 - 2*v - 2. Let q(l) = -d(l) - g(l). Factor q(i).
-(i - 1)*(i + 1)**2*(i + 2)
Suppose 9*r - 6*r - 6 = 0. Factor -4*z - z**3 + 8*z**2 + 1 - z**3 - 2*z**r - 2*z**3 + z**4.
(z - 1)**4
Let t(n) = -n**3 - 7*n**2 - 6. Let y(r) = -3*r**2 + 1. Let z(x) = -2*x**2 + 1. Let g(j) = -3*y(j) + 4*z(j). Let c(q) = 6*g(q) + t(q). Factor c(d).
-d**2*(d + 1)
Suppose -3*g = 2 - 8. Suppose -1 - 15*s**2 + 36 + 35*s + 5*s**g - 15 = 0. Calculate s.
-1/2, 4
Let s be 0/(-1) - (2 - 3)*2. Let h(r) = r - 2. Let y be h(s). Determine d, given that 1/4*d**4 - 1/2*d**2 + y*d + 0 + 1/4*d**3 = 0.
-2, 0, 1
Factor -129*t - 2*t**2 + 5*t**2 - 21 + 111*t.
3*(t - 7)*(t + 1)
Let h = 1342 + -3658. Let p = h - -20864/9. Determine d so that 2/9*d**5 + p*d**3 - 2/9 - 10/9*d**4 + 10/9*d - 20/9*d**2 = 0.
1
Let p(a) = -588*a**3 - 746*a**2 - 141*a + 6. Let s(z) = -196*z**3 - 249*z**2 - 47*z + 2. Let r(c) = 4*p(c) - 11*s(c). Factor r(f).
-(f + 1)*(7*f + 2)*(28*f - 1)
Let x be ((-2)/5)/(144/(-45) + 3). Let q(j) be the first derivative of -1 + 7/3*j**3 + 2*j - 1/2*j**4 - 7/2*j**x. Suppose q(a) = 0. Calculate a.
1/2, 1, 2
Suppose -2*t + 85 - 77 = 0. Factor t*n**3 + 8*n + 4*n + 17*n**2 - 46*n**2 + 13*n**2.
4*n*(n - 3)*(n - 1)
Let v = 1254/7 - 179. Let i(y) be the first derivative of -3/7*y**2 - 4/21*y**3 + 1/21*y**6 + 6/35*y**5 - 2/7*y + v*y**4 - 1. Factor i(l).
2*(l - 1)*(l + 1)**4/7
Let u = 10 + -10. Let g(x) = x**2 + 3. Let m be g(u). Find r such that r**m - 24*r - 4*r**3 + r**3 - 12*r**2 - 16 = 0.
-2
Suppose 2*t - 18 = -0*c - 5*c, -3*t + 4 = -4*c. Solve 0*h**3 + 0*h**3 + 93*h**4 - 96*h**t = 0 for h.
0
Let p be (1 - 7)*(-17)/51. Suppose 0*r - 5*f = 3*r - 52, p*f = -3*r + 37. Factor -2 - 40*t - 14*t**2 - 3*t**3 + r*t**3 + 50*t.
2*(t - 1)**2*(3*t - 1)
Suppose 0 = -2*n + 3*n - 3*g + 4, -3*g = 5*n - 16. Factor 6*i**3 + 5*i**2 - 6*i - 3*i**n - i**2 - 2 + i**2.
2*(i - 1)*(i + 1)*(3*i + 1)
Let l = 13496/3 - 4497. Suppose -7/3*t**5 - 170/3*t**2 - 160/3*t + 40/3*t**4 - 32/3 + l*t**3 = 0. What is t?
-1, -2/7, 4
Let r(j) be the third derivative of -j**7/1365 + j**6/468 - j**5/780 - 4*j**3 - 22*j**2. Let y(m) be the first derivative of r(m). Determine t so that y(t) = 0.
0, 1/4, 1
Let u(l) = 2*l + 24. Let r be u(-11). Suppose -121 + r*j + j**2 + 121 = 0. What is j?
-2, 0
Let v = -12/2029 + 2053/4058. Factor 1/2*r**4 - 1/2*r**2 + 0*r + v*r**5 - 1/2*r**3 + 0.
r**2*(r - 1)*(r + 1)**2/2
Let n(k) be the third derivative of k**7/490 - k**6/280 - k**5/140 + k**4/56 + 64*k**2. Determine w, given that n(w) = 0.
-1, 0, 1
Let n(h) = 7*h**3 + 4*h**2 + 3*h - 4. Let g(c) be the second derivative of c**5/20 + c**3/6 + 38*c. Let k(d) = 5*g(d) - n(d). Suppose k(y) = 0. What is y?
-2, -1, 1
Let b = 1089 - 6533/6. Let a(g) be the third derivative of -g**2 + 2/3*g**3 + 0 + 0*g - b*g**4 + 1/60*g**5. Factor a(m).
(m - 2)**2
Let a(u) be the second derivative of u**7/210 - u**6/32 + 17*u**5/240 - u**4/16 + 8*u**2 + 13*u. Let t(s) be the first derivative of a(s). Factor t(k).
k*(k - 2)*(k - 1)*(4*k - 3)/4
Suppose -5*f + 4*r = -100, -3*r = -4*f - 5*r + 80. Let b be (-2)/(-10) - -2*18/f. Solve 3/2*j**b + 1/3 - 5/6*j**3 + 1/6*j**4 - 7/6*j = 0.
1, 2
Let p(r) = -r**3 + 10*r**2 - 11*r + 10. Let a be p(9). Let v be (-3)/a*4/3 - 0. Factor -1/4*d**2 + 3/4 + v*d.
-(d - 3)*(d + 1)/4
Determine r, given that 6448*r**2 - 316*r + 12482 + 6444*r**2 - 12890*r**2 = 0.
79
Factor -23*f**2 + 324 - 22*f - 68*f - 6*f**3 - 5*f**2 + 4*f**3 - 4*f**2.
-2*(f - 2)*(f + 9)**2
Let h(c) be the first derivative of 11 + 0*c**2 - 1/4*c**4 + 0*c**3 + 0*c. Factor h(n).
-n**3
Let n(s) be the first derivative of s**4 + 4*s**3/3 - 32*s**2 - 64*s + 120. Factor n(j).
4*(j - 4)*(j + 1)*(j + 4)
Let p(f) = -3665*f**3 + 1426*f**2 - 160*f + 6. Let h(u) = 1832*u**3 - 712*u**2 + 79*u - 3. Let i(t) = -7*h(t) - 4*p(t). Factor i(k).
3*(6*k - 1)**2*(17*k - 1)
Let d = -457/2 + 229. Let n(o) be the second derivative of -2*o + 0 + 1/2*o**4 + d*o**3 + 0*o**2. Factor n(g).
3*g*(2*g + 1)
Let f(h) = 4*h**2 - 3*h - 1 - 3*h + 4*h + 5*h**2. Let w be f(-1). Factor 3*q**2 - 10*q**3 + 2*q**3 - 4 + w*q**2 - q**2.
-4*(q - 1)**2*(2*q + 1)
Let p be (0/3)/(48 - 52). Factor -2/7*k**2 + p + 8/7*k.
-2*k*(k - 4)/7
Solve -228/13 + 230/13*y - 2/13*y**2 = 0.
1, 114
Let a(r) = -12*r**4 + 4*r**3 + 12*r**2 + 4*r - 8. Let o(s) = s**4 + s**3 - s**2 - 2*s + 1. Let n(h) = a(h) + 8*o(h). Factor n(v).
-4*v*(v - 3)*(v - 1)*(v + 1)
Let c(n) be the third derivative of n**6/480 + n**5/80 + n**4/32 - n**3/3 - 8*n**2. Let s(j) be the first derivative of c(j). Solve s(o) = 0 for o.
-1
Solve 0 - 1/4*o**4 - 5/4*o**3 - 3/2*o**2 + 0*o = 0.
-3, -2, 0
Let a = -298 + 298. Let s(x) be the third derivative of 1/50*x**5 + a*x + 0 + 1/300*x**6 + 1/15*x**3 + 2*x**2 + 1/20*x**4. Solve s(p) = 0.
-1
Determine y, given that 400/9 + 4*y**4 - 236/9*y**2 + 80/9*y - 8/3*y**3 = 0.
-5/3, 2
Factor 3*x + x + 104*x**2 - 54*x**2 + 144 - 53*x**2 + 2*x.
-3*(x - 8)*(x + 6)
Suppose 3*w + f - 4 - 13 = 0, 25 = 5*f. Let q(h) be the first derivative of 6*h - 3/4*h**w + 9/2*h**2 - 1 + 0*h**3. Factor q(s).
-3*(s - 2)*(s + 1)**2
Let j(s) be the first derivative of -s**4/3 - 4*s**3/27 + 2*s**2/3 + 4*s/9 + 65. Determine t, given that j(t) = 0.
-1, -1/3, 1
Let v(y) be the third derivative of -2/525*y**7 + 0*y - 7*y**2 + 0*y**3 + 0*y**4 + 1/75*y**5 + 0 + 0*y**6. Solve v(f) = 0.
-1, 0, 1
Suppose -j + 12 = 2*j. Factor 5*c**2 + 3*c**j + c**4 + c**4 - 10*c**3.
5*c**2*(c - 1)**2
Let k be (-8)/(-252)*9*105/45. Factor -k*b**2 + 1/6*b**3 + 0 + 2/3*b.
b*(b - 2)**2/6
Let y(i) = -2*i**2 + i + 1. Let q(x) = -79*x**2 - 43*x - 4. Let s(z) = q(z) - 2*y(z). Factor s(l).
-3*(5*l + 1)*(5*l + 2)
Let h(g) be the first derivative of -g**5/20 + g**4/8 - g**3/12 - 13. Factor h(s).
-s**2*(s - 1)**2/4
Let m = 210/11 - 4189/220. Let z(p) be the third derivative of 3/2*p**3 - m*p**6 + 0 + p**2 + 1/4*p**4 + 0*p - 1/5*p**5 + 1/70*p**7. Factor z(s).
3*(s - 3)*(s - 1)*(s + 1)**2
Let d be (7/(-7))/((-2 - -5)/(-9)). Factor 0 + 7/3*l**2 - 1/3*l**4 + 2/3*l**d + 4/3*l.
-l*(l - 4)*(l + 1)**2/3
Let i(s) be the first derivative of -3/2*s**5 + 11 - 1/2*s**3 + 0*s**2 - 3/2*s**4 - 1/2*s**6 + 0*s. Suppose i(u) = 0. Calculate u.
-1, -1/2, 0
Solve 2/11*a + 4/11 - 4/11*a**3 - 8/11*a**2 + 4/11*a**4 + 2/11*a**5 = 0 for a.
-2, -1, 1
Let v be (-30)/24*4 - -11. Let d = -15 - -18. Find x, given that v + 2*x**2 - 6*x - 2/9*x**d = 0.
3
Suppose -3*m + c + 14 = 0, 2*m - 60 + 42 = 5*c. Find w, given that 24/5*w**3 + 12/5 + 4/5*w**5 - 28/5*w + 8/5*w**2 - 4*w**m = 0.
-1, 1, 3
Let w(a) be the third derivative of 17*a**2 + 0 + 1/360*a**5 - 1/144*a**4 - 1/18*a**3 + 0*a. Determine u, given that w(u) = 0.
-1, 2
Let s = 32 + -30. Factor 5*y + 59*y**2 + 3 + 