l**4 + i + 28/3*l**3.
2*l**2*(l + 7)**2/3
Let z be (-104)/(-10) + -6 + (-3)/(-5). Let r be ((-1)/(-3))/((-1)/(-12)). Factor -35 + 3*k**z - r*k**3 - 4*k**2 + k**5 + 35 + 4*k**4.
4*k**2*(k - 1)*(k + 1)**2
Let m = 6 - -2. Suppose -5*h + 15 = -2*c + 6*c, 4*c - 17 = -3*h. Factor 0*k**3 - m + 75*k - 35*k**2 + c*k**3 - 37 + 0*k**3.
5*(k - 3)**2*(k - 1)
Let b(q) be the first derivative of -q**5/80 + q**4/16 - 7*q**2/2 - 10*q + 31. Let f(a) be the second derivative of b(a). Factor f(i).
-3*i*(i - 2)/4
Suppose -13*z = 266 - 500. Let f = 4 + 1. Factor -2*u**4 + 2*u**5 - 3*u**3 - 11*u**2 + u**3 - f*u**2 + z*u**2.
2*u**2*(u - 1)**2*(u + 1)
Suppose -2*t + 3*f = -f + 56, 4*t + 160 = -4*f. Let a = t - -36. Factor 0 + 2*o**5 + a + 2*o**3 - 15*o**4 + 11*o**4.
2*o**3*(o - 1)**2
Let n = -1/184 + 383/2760. Let u(i) be the first derivative of 13 - 6/5*i + 4/5*i**2 - n*i**3. What is a in u(a) = 0?
1, 3
Factor -3/2 - 252150*a**2 + 1230*a.
-3*(410*a - 1)**2/2
Suppose 0 = p + 5, -5*y + 0*p - 2*p = -10. Let q(r) be the third derivative of 0 + 0*r**3 - 5/24*r**y + 17*r**2 + 1/36*r**5 + 0*r. Factor q(k).
5*k*(k - 3)/3
Let o(j) be the first derivative of 0*j + 15/2*j**2 + 10/3*j**3 - 5/4*j**4 + 167. Factor o(z).
-5*z*(z - 3)*(z + 1)
Let o(h) be the first derivative of h**4/8 - 7*h**3/6 - h**2 + 14*h + 1565. Determine t, given that o(t) = 0.
-2, 2, 7
Suppose 9 = -5*x + 4*a + 27, 2*x = 3*a + 10. Let q(v) be the second derivative of 1/12*v**4 + 0 - 7/12*v**3 + 1/40*v**5 + v**x - 6*v. Factor q(n).
(n - 1)**2*(n + 4)/2
Let s(d) be the third derivative of -d**7/525 - 19*d**6/150 - 32*d**5/15 + 40*d**4/3 - 112*d**2 + d - 5. Factor s(x).
-2*x*(x - 2)*(x + 20)**2/5
Let s = -3417 + 102511/30. Let v(n) be the first derivative of -s*n**4 - 6 + 4/45*n**3 + 7/15*n**2 + 8/15*n. Factor v(h).
-2*(h - 4)*(h + 1)**2/15
Factor 3/4*d**5 + 27/4 + 69/2*d**2 + 27/4*d**4 + 45/2*d**3 + 99/4*d.
3*(d + 1)**3*(d + 3)**2/4
Let w = -575 + 561. Let v be (-54)/(-189)*w/(-5). Find x such that -v*x**2 - x - 1/5*x**3 - 2/5 = 0.
-2, -1
Let u(r) = -r**2 - 20*r + 23. Let h be u(-21). Let -14*m**3 - 88*m - 51*m**h + 0*m**3 + 32 - 2*m**2 - 27*m**2 = 0. What is m?
-4, -2, 2/7
Let c = 40438 + -121306/3. Factor -14*s - 10/3*s**2 - c.
-2*(s + 4)*(5*s + 1)/3
Let l be -4 + -4 + 25 - 3/3. Find a such that -14*a**3 + 16*a**3 - 6*a + l - 12 = 0.
-2, 1
Let 10/3*b**2 - 28*b - 10/3*b**4 + 0 + 100/3*b**3 - 16/3*b**5 = 0. Calculate b.
-21/8, -1, 0, 1, 2
Suppose -4*g - 24 = -32. Factor 17*a**g - 13*a**3 - 17*a**3 + 4*a**4 + 9*a**3 + 33*a - 9.
(a - 3)**2*(a + 1)*(4*a - 1)
Suppose 3*d - 2*d = -t + 81, t + 3*d - 81 = 0. Factor 40 + 88 - 29*c + 2*c**3 + 24*c**2 + 44*c + t*c.
2*(c + 4)**3
Let -164 - 1144/7*f**2 + 2294/7*f - 2/7*f**3 = 0. Calculate f.
-574, 1
Let s(w) be the second derivative of 7/6*w**4 - 1/84*w**7 - 9 + 2/15*w**6 - 17/12*w**3 + w + w**2 - 11/20*w**5. Factor s(k).
-(k - 4)*(k - 1)**4/2
Let z(u) be the second derivative of -12*u - 1/36*u**4 - 5/3*u**2 + 11/18*u**3 + 5. Factor z(j).
-(j - 10)*(j - 1)/3
Let d(w) be the second derivative of -3*w**5/100 - 2*w**4/5 + 2*w**3/5 + 48*w**2/5 - 2773*w. Factor d(v).
-3*(v - 2)*(v + 2)*(v + 8)/5
Suppose 405 = -162*i + 1053. Solve -3*p**2 + 3/7*p**i + 3/7*p**3 + 18/7 - 3/7*p = 0 for p.
-3, -1, 1, 2
Factor -3/5*c**2 - 729/5 + 252/5*c.
-3*(c - 81)*(c - 3)/5
Let 712/5*c**2 - 4/5*c**3 + 32144/5 - 1876*c = 0. What is c?
7, 164
Let -6 + 53/2*b**2 + 22*b + 7*b**3 = 0. Calculate b.
-2, 3/14
Suppose 2*t + 3*f - 2 = 0, -t - f - 5 = -7. Suppose 0 = -t*u + 8*u - 12. Factor -5*x**3 - 6*x - 3*x - 25*x**2 + u*x - 24*x.
-5*x*(x + 2)*(x + 3)
Let j(u) be the third derivative of u**8/1120 - u**7/180 + 49*u**6/3240 - 97*u**5/30 - 3*u**2 + 11*u. Let d(f) be the third derivative of j(f). Factor d(k).
2*(9*k - 7)**2/9
Suppose 86*l - 87*l = -3. Suppose -7411 - 7*p**3 + 54*p**2 - 186*p**2 - 1452*p + 2087 + 3*p**l = 0. What is p?
-11
Let u(d) be the second derivative of -1/150*d**5 + 1/9*d**4 - 36*d + 1 - 22/15*d**2 + 13/45*d**3. Let u(y) = 0. Calculate y.
-2, 1, 11
Let c be -8 + 5 + 9332/18 + -2. Let t = c + -513. Suppose t*w + 2/9*w**2 + 2/9 = 0. What is w?
-1
Suppose l = -219 - 306. Let q = l - -527. Factor 1/4*p**q + 0 - 3/4*p.
p*(p - 3)/4
Let x(g) be the second derivative of 38*g - 1 + 8427/20*g**5 + 2597/4*g**4 - 104*g**3 + 6*g**2. Solve x(o) = 0 for o.
-1, 2/53
Let z(h) = -28*h**2 + 499*h + 6. Let c(j) = -195*j**2 + 3495*j + 40. Let g(o) = 3*c(o) - 20*z(o). Find m such that g(m) = 0.
0, 101/5
Let n be 18/(-135) + (-159)/45*-4. Factor 6 - 4 + n*x - 12*x**2 + 3 + 31 + 10*x**2.
-2*(x - 9)*(x + 2)
Let h be ((-47)/(-9) - 5) + (-3675)/135. Let l be ((-45)/(-27))/((-90)/h). Solve 1/4*n**4 + l*n + 0 + 5/4*n**2 + n**3 = 0 for n.
-2, -1, 0
Let r(t) be the third derivative of -t**6/270 + 34*t**5/135 - 31*t**4/54 - 44*t**3/9 + t**2 - 28*t - 2. Factor r(u).
-4*(u - 33)*(u - 2)*(u + 1)/9
Let k be (-2)/12*(92 + -38 - 57). Let -1/4*m**3 + 7/4*m - 1 - k*m**2 = 0. What is m?
-4, 1
Let v(b) be the second derivative of -b**5/170 + 5*b**4/102 - 7*b**3/51 + 3*b**2/17 + 49*b - 1. What is c in v(c) = 0?
1, 3
Let n = 49 + -47. Factor -14*v - 56 - 7*v**n - 3*v**2 + 68.
-2*(v + 2)*(5*v - 3)
Let x be 242*-1 + 3/(-30)*-4. Let q = x + 242. Let 4/5*g + 0 + q*g**3 + 6/5*g**2 = 0. Calculate g.
-2, -1, 0
Let h be (-564)/(-170) - (-6 - (-520)/85). Let d(r) be the first derivative of 8/3*r**3 + 7 + h*r**5 + 0*r**2 - 2/3*r**6 - 5*r**4 + 0*r. Solve d(v) = 0.
0, 1, 2
Let r(k) be the second derivative of -14/45*k**6 + 0*k**3 + 0*k**4 + 0*k**2 + 0*k**5 - 79*k + 0 - 1/63*k**7. Solve r(j) = 0 for j.
-14, 0
Let o(g) = -25*g**2 + 5822*g + 10281. Let p(t) = 5*t**2 - 1172*t - 2056. Let h(f) = 4*o(f) + 19*p(f). Let h(v) = 0. What is v?
-2, 206
Let w(m) be the second derivative of m**5/10 + 37*m**4/2 - 395*m**3 + 3025*m**2 - 1206*m - 2. Factor w(z).
2*(z - 5)**2*(z + 121)
Let i be 114/(-456) + (-1272)/(-160) + 4/5. Factor -i*o**2 - 7/2 + o**3 + 11*o.
(o - 7)*(o - 1)*(2*o - 1)/2
Let o(z) be the first derivative of 92*z**2 - 4232/3*z**3 - 2*z + 229. Factor o(p).
-2*(46*p - 1)**2
Determine q, given that 79/2*q**2 + 1/4*q**3 + 0*q + 0 = 0.
-158, 0
Let l = -8817 - -8822. Let m(z) be the first derivative of -10 - z**5 + 10*z + 25/2*z**2 + l*z**3 - 5/4*z**4. Factor m(r).
-5*(r - 2)*(r + 1)**3
Let c = 3 - -5. Suppose -1 = -k - 2*m, -k = -3*m + c*m + 2. Factor -8*u + 6*u**2 + 26*u**2 - 14*u**k + 0*u**2.
-2*u*(u - 2)*(7*u - 2)
Suppose -73*s + 8*s - 4*s = -6*s - 18*s. Let j(c) = c**2 - 3*c + 2. Let g be j(3). Factor -2/3*h**3 + 0*h - 4/3*h**g + s.
-2*h**2*(h + 2)/3
Solve -788/5*v**2 + 898/5*v**3 + 464/5*v**4 - 72/5 - 534/5*v + 32/5*v**5 = 0.
-12, -3, -1/4, 1
Let o(c) = -13*c**3 + 150*c**2 - 279*c - 427. Let y(l) = -33*l**3 + 374*l**2 - 699*l - 1067. Let w(f) = -13*o(f) + 5*y(f). Find m, given that w(m) = 0.
-1, 3, 18
Suppose 172/3*v**4 + 1364/3*v - 172 + 4/3*v**5 - 1000/3*v**2 - 8*v**3 = 0. Calculate v.
-43, -3, 1
Let l = -380 + 240. Let j be l/350*(-155)/6. Factor -j*u + 2 + 29/3*u**2 - 4/3*u**3.
-(u - 6)*(u - 1)*(4*u - 1)/3
Solve -11*v**5 + 2*v**3 + 30*v**5 - 20*v**5 + 4067 - 4051 - 2*v + 16*v**4 - 32*v**2 + v = 0.
-1, 1, 16
Let z = 926630/33 - 308862/11. Factor 2*x - z*x**2 + 2*x**4 - 2/3*x**5 - 2/3 - 4/3*x**3.
-2*(x - 1)**4*(x + 1)/3
Determine t, given that 50/3*t - 2/9*t**2 + 52 = 0.
-3, 78
Let c be (-78)/(-30) + 6/15. Let j(g) be the second derivative of -1/16*g**2 + 0 - 1/80*g**5 + 0*g**4 + 1/240*g**6 + 1/24*g**c - 6*g. Factor j(q).
(q - 1)**3*(q + 1)/8
Suppose 3*k = -4*j + 1569, -12*j = -4*k - 11*j + 2111. Factor -2*i**2 - 26*i - 227 + 32 - 50*i - k.
-2*(i + 19)**2
Let l be (14 + (-5860)/420)*14/6. Let k(q) be the first derivative of -8/3*q + q**2 - 13 - l*q**3. Factor k(o).
-(o - 4)*(o - 2)/3
Let p(z) be the second derivative of -z**6/70 - 3*z**5/20 - z**4/4 + 15*z**3/14 - 2820*z. Factor p(n).
-3*n*(n - 1)*(n + 3)*(n + 5)/7
Let c(z) = -2*z - 81. Let i be c(-24). Let u be (i/33)/(2/4*-7). Factor -u*s**2 + 0*s + 2/7.
-2*(s - 1)*(s + 1)/7
Let n be 21 - 2992/136 - 11/(-2). Factor -3/4*o + 21/4*o**2 - n.
3*(o - 1)*(7*o + 6)/4
Let -264/5*a**2 + 35378/5 - 1/5*a**3 - 17157/5*a = 0. What is a?
-133, 2
Let m(i) be the second derivative of -11*i**7/21 - 20*i**6/3 - 546*i**5/55 - 48*i**4/11 - 10153*i. Let m(b) = 0. What is b?
-8, -6/11, 0
Let p(f) = -225*