4*m + 34 - 25*m - 558*m**2.
(m + 2)*(m + 17)
Let d(t) be the first derivative of t**3/9 - 5*t**2/6 - 70. Factor d(v).
v*(v - 5)/3
Suppose -17*m + 14*m + 9 = 0. Determine x so that -m*x - 356*x**3 + 359*x**3 + x**2 - x**2 = 0.
-1, 0, 1
Suppose 0 = -c + 5, 0*c = 4*a + 3*c - 15. Let x(h) be the third derivative of 7*h**2 + 7/108*h**4 + 0*h + 1/540*h**6 + a + 1/9*h**3 + 1/54*h**5. Factor x(z).
2*(z + 1)**2*(z + 3)/9
Let b = 20684/13 + -1590. Let j = b + -16/39. Factor -j*v**3 + 0 + 4*v**2 - 6*v.
-2*v*(v - 3)**2/3
Let r(n) be the second derivative of 2*n - 3/20*n**5 - 5/2*n**4 - 16*n**3 - 48*n**2 + 1. Factor r(j).
-3*(j + 2)*(j + 4)**2
Suppose -3 = 3*c - 21. Suppose -c = -6*f + 5*f. Solve 0*j + 6*j + 4*j**2 - f*j + 8*j**4 + 12*j**3 = 0.
-1, -1/2, 0
Let q = 120 + 16. Let m = -136 + q. Factor 0*g**2 + m*g - 1/6*g**4 + 0 - 1/2*g**3.
-g**3*(g + 3)/6
Let v be 392/(-35) - -13 - 6/(-30). Factor -16/3 - 2/3*n**v + 6*n.
-2*(n - 8)*(n - 1)/3
Let t(i) = 3*i + 55. Let f be t(-16). Suppose f = 6*r - 5. Factor 6/13 - 2/13*c**r - 4/13*c.
-2*(c - 1)*(c + 3)/13
Factor 56/5*i + 3/5*i**2 + 48/5 - 1/5*i**4 - 6/5*i**3.
-(i - 3)*(i + 1)*(i + 4)**2/5
Let m = 867/1115 - -5/223. Factor -3/5 - m*z - 1/5*z**2.
-(z + 1)*(z + 3)/5
Let z be (-60)/80*5/((-5)/4). Factor -25*g**z + 22*g**3 + 3*g**2 + 0*g**3.
-3*g**2*(g - 1)
Suppose -275*l = -276*l + 1805. Suppose 56 - l*q - 7*q**2 + 3*q**2 + 1753*q = 0. What is q?
-14, 1
Suppose 5*x - 33 = 2*x. Suppose 5*t = 5*u + 2 + 23, -t + 3*u + x = 0. Solve 2*v + 2*v**t + 7 - 6 + 0 - 5 = 0.
-2, 1
Let o(v) = -2*v**3 - v**2 - 2*v + 1. Let m(w) = -9*w**3 - 38*w**2 - 46*w + 73. Let j(u) = m(u) - 5*o(u). Factor j(x).
(x - 34)*(x - 1)*(x + 2)
Let n(g) = g**2 + g + 1. Let b(u) = -u**3 + 6*u**2 - 6*u + 4. Let l be b(5). Let x(j) = j + 7*j - 3*j**2 + 6*j**2. Let r(c) = l*x(c) + 4*n(c). Factor r(s).
(s - 2)**2
Factor -10*f**2 - 24*f**3 - 2*f + 2*f + 12*f**4 + 73*f**5 - 69*f**5 - 22*f**2.
4*f**2*(f - 2)*(f + 1)*(f + 4)
Let r(w) = 2*w**2 - 18*w + 9. Let h be r(9). Solve 5*b - 66*b**4 + 60*b**2 + 5*b**3 + 6*b + 6*b**4 + h*b - 25*b**5 = 0 for b.
-2, -1, -2/5, 0, 1
Let m = -10382 - -72680/7. Find l, given that m*l**4 - 2/7*l + 2/7*l**3 + 0 - 6/7*l**2 = 0.
-1, -1/3, 0, 1
Let n(b) be the third derivative of -b**8/140 - 3*b**7/280 + b**6/120 + 10*b**3/3 - 17*b**2. Let t(u) be the first derivative of n(u). Factor t(m).
-3*m**2*(m + 1)*(4*m - 1)
Solve -3*h**3 + 12*h**3 + h**4 + 0 - 2*h**3 + 20*h + 8 + 18*h**2 = 0.
-2, -1
Let l(h) be the third derivative of 1/150*h**5 + 0 + h**2 + 1/60*h**4 + 0*h - 1/15*h**3 - 1/300*h**6. Factor l(o).
-2*(o - 1)**2*(o + 1)/5
Factor -1/4*m**3 - 75/4*m**2 - 15625/4 - 1875/4*m.
-(m + 25)**3/4
Let o = 75/548 + 871/1644. Factor -o*x**2 + x + 2/3.
-(x - 2)*(2*x + 1)/3
Let w(d) = d**5 - d**3 - d**2 + d - 1. Let g(j) = 3*j**5 + 147*j**4 - 2742*j**3 + 23322*j**2 - 82938*j + 62202. Let u(r) = -g(r) + 6*w(r). Factor u(t).
3*(t - 12)**4*(t - 1)
Let b(k) be the third derivative of -k**10/1209600 + k**8/161280 + 2*k**5/15 + 3*k**2. Let q(s) be the third derivative of b(s). Factor q(w).
-w**2*(w - 1)*(w + 1)/8
Factor -h**4 + 23*h**2 - 66*h + 72 + 8*h**3 - 12*h**2 - 4*h**3.
-(h - 3)**2*(h - 2)*(h + 4)
What is p in 936*p**2 + 119/5*p**3 + 1/5*p**4 - 12800 + 11840*p = 0?
-40, 1
Let f be (1*(-136)/264 + 4/22)*-1. Factor 1/3*a**2 - 1/3*a**4 + 0 - 1/3*a**3 + f*a.
-a*(a - 1)*(a + 1)**2/3
Find q such that -57*q + 14*q**2 - 43*q**2 + 5*q**2 - 33 = 0.
-11/8, -1
Let k(s) be the third derivative of 4/15*s**5 + 32*s**2 + 0 + 0*s + 2/3*s**4 - 1/10*s**6 + 0*s**3. Factor k(v).
-4*v*(v - 2)*(3*v + 2)
Let q be ((-11)/(-352))/((-5)/(-10)). Let y(o) be the third derivative of 0*o + q*o**4 - 3*o**2 - 1/40*o**5 + 0 + 0*o**3. Factor y(t).
-3*t*(t - 1)/2
Let q(c) be the first derivative of 3*c**4/8 + 7*c**3/2 - 27*c**2/2 + 64. Factor q(k).
3*k*(k - 2)*(k + 9)/2
Let i(w) be the second derivative of 0 + 15*w - 2/5*w**2 + 1/20*w**4 + 2/3*w**3 - 7/10*w**5 - 49/150*w**6. Determine m so that i(m) = 0.
-1, 2/7
Let q be (-42)/35*(40/(-3))/4. Solve -12/7*s**3 + 2/7*s**q + 18/7*s**2 + 0 - 8/7*s = 0.
0, 1, 4
Find i, given that 10*i**3 - 5 + 10*i**2 + i - 5*i**5 - 184*i**4 - 6*i + 179*i**4 = 0.
-1, 1
Suppose -2*n + 2*o + 8 = -22, 3*n - 50 = -2*o. Factor -2*w**3 - w**2 + n*w**2 - 11*w**2.
-2*w**2*(w - 2)
Let d(a) be the third derivative of -2*a**7/105 - 7*a**6/30 - a**5/3 + 7*a**4/6 + 4*a**3 - 115*a**2. Factor d(v).
-4*(v - 1)*(v + 1)**2*(v + 6)
Factor -10125*v - 3/5*v**3 - 135*v**2 - 253125.
-3*(v + 75)**3/5
Suppose a - 20*f + 40 = 0, 2 = 10*a - 12*a + f. Factor -4/11*w**2 + 0*w - 2/11*w**3 + a.
-2*w**2*(w + 2)/11
Factor -80 - 4*t**4 - 120*t + 30*t**3 - 5*t**2 + 11*t**4 - 4*t**4 - 8*t**4.
-5*(t - 4)**2*(t + 1)**2
Let v(u) be the third derivative of -u**6/180 + u**5/6 - 25*u**4/12 + 17*u**3/6 + 18*u**2. Let r(h) be the first derivative of v(h). Solve r(z) = 0 for z.
5
Let p be 18/27*((-567)/(-6))/9. Let n(f) be the second derivative of f + 0 + 0*f**2 - 3/10*f**5 - 1/30*f**6 + 1/21*f**p - 1/12*f**4 + 1/3*f**3. Factor n(v).
v*(v - 2)*(v + 1)**2*(2*v - 1)
Factor -4/5*v**2 - 53824/5 - 928/5*v.
-4*(v + 116)**2/5
Let a(j) be the first derivative of -j**8/5040 + j**7/420 - j**6/120 - j**5/90 + j**4/6 + 5*j**3 + 12. Let k(o) be the third derivative of a(o). Factor k(h).
-(h - 3)*(h - 2)**2*(h + 1)/3
Suppose -37 = 14*q - 121. Let t(w) be the second derivative of 7*w - 1/10*w**2 + 32/25*w**q + 0 - 3/10*w**3 + 4/5*w**5 - 1/5*w**4. Let t(c) = 0. What is c?
-1/4, 1/3
Let b(s) be the second derivative of s**7/420 - s**6/20 + 2*s**5/5 - 4*s**4/3 - s**3/3 - 8*s. Let z(m) be the second derivative of b(m). Solve z(o) = 0 for o.
1, 4
Let h(l) be the second derivative of l**5/210 + 5*l**4/126 - 2*l**3/21 + 82*l. Let h(n) = 0. What is n?
-6, 0, 1
Let g(h) be the first derivative of h**5/3 - h**4 - 6*h**3 - 26*h**2/3 - 5*h + 121. Let g(p) = 0. What is p?
-1, -3/5, 5
Factor -26*o**4 + o**2 + 28*o**4 - 3*o**4.
-o**2*(o - 1)*(o + 1)
Let l(w) be the third derivative of -w**7/420 - w**6/16 - 5*w**5/8 - 125*w**4/48 - 20*w**2. Solve l(j) = 0.
-5, 0
Let k(n) be the first derivative of 9/2*n**2 + 19 - 3/4*n**4 + 0*n**3 + 6*n. Let k(u) = 0. What is u?
-1, 2
Let f(y) be the third derivative of -y**9/574560 + y**8/95760 + y**7/11970 - y**6/855 + y**5/3 + 12*y**2. Let h(j) be the third derivative of f(j). Factor h(u).
-2*(u - 2)**2*(u + 2)/19
Let t be (2 - 0) + (11 - 6) + -1. Let v(z) be the first derivative of -8*z**4 + 0*z + 72/5*z**5 - t*z**6 - 8/3*z**3 + 2*z**2 - 4. Let v(k) = 0. What is k?
-1/3, 0, 1/3, 1
Let w(c) be the third derivative of -1/180*c**6 + 0 + 0*c**3 - 16*c**2 + 0*c + 1/90*c**5 + 0*c**4. Let w(b) = 0. What is b?
0, 1
Let x(z) be the third derivative of -z**7/1260 - 19*z**6/720 - 11*z**5/40 - 9*z**4/16 - 67*z**2 + 3*z. Factor x(c).
-c*(c + 1)*(c + 9)**2/6
Let c be ((-2)/9)/((-62)/744). Solve -26/3*b**2 + c - 10/3*b**3 - 8/3*b = 0.
-2, -1, 2/5
Suppose -q + 5*w - 44 = 0, 2*q + w + 120 = 3*w. Let s = 194/3 + q. Factor 0*i + 0*i**3 + 0 + 2/3*i**2 - s*i**4.
-2*i**2*(i - 1)*(i + 1)/3
Let d(k) be the third derivative of 0*k + 1/100*k**5 + 37*k**2 - 1/20*k**4 + 0 - 3/10*k**3. Let d(l) = 0. Calculate l.
-1, 3
Let k be -3 + 44*4/(-72)*3/(-2). Factor 10/9*y**2 - k*y - 2/9*y**3 - 2.
-2*(y - 3)**2*(y + 1)/9
Factor 4/7*k - 4/7*k**3 - 4/7 + 4/7*k**2.
-4*(k - 1)**2*(k + 1)/7
Determine y, given that 184/7*y**2 + 242/7*y + 10/7*y**3 + 68/7 = 0.
-17, -1, -2/5
Find l such that -1/2*l**2 - 450 + 30*l = 0.
30
Suppose 51*q - 52*q + 3 = 0. Factor 5*a**q - 5 + 0 + 5 + 10*a**2.
5*a**2*(a + 2)
Let l = -1/2607 - -7825/10428. Factor -3/8*d**3 + 3/8*d - 3/4 + l*d**2.
-3*(d - 2)*(d - 1)*(d + 1)/8
Let t(k) = k**3 - 35*k**2 + k + 33. Let y(m) = -m**3 + m**2. Let h(f) = t(f) + 2*y(f). What is q in h(q) = 0?
-33, -1, 1
Let c be 0/((-1*6)/(-3)). Suppose 4*z + 0*i - 3*i - 20 = 0, c = 2*z - 3*i - 16. Factor 3*l + 10*l**z - 2 + 2*l**4 + 8*l**3 + 2 + l.
2*l*(l + 1)**2*(l + 2)
Let o(w) be the second derivative of -2/7*w**2 + 5/7*w**3 + 0 + 9*w - 13/42*w**4. Solve o(k) = 0 for k.
2/13, 1
Let u be (0 + 6/(-8))/(38/152). Let a be u/15*1 + 14/20. Factor 1/2 + r + a*r**2.
(r + 1)**2/2
Let t(j) be the first derivative of -j**7/672 + 7*j**6/1440 + j**5/60 - j**4/24 - j**3/3 - 5. Let n(o) be the third derivative of t(o). Factor n(h).
-(h -