69*i - 18. Let q(s) = -2*m(s) - 5*r(s). Factor q(l).
-(l + 9)*(2*l + 1)**2
Factor 0 + 4/3*o**3 - 1/3*o**4 - 4/3*o + 1/3*o**2.
-o*(o - 4)*(o - 1)*(o + 1)/3
Let u(r) be the second derivative of 7/78*r**4 + 0 - 1/273*r**7 + 0*r**2 - 2/39*r**3 + 1/39*r**6 - 27*r - 9/130*r**5. What is v in u(v) = 0?
0, 1, 2
Let x(d) be the third derivative of -27*d**2 + 1/300*d**6 + 1/75*d**5 + 0*d + 0*d**4 + 0*d**3 + 0. Factor x(w).
2*w**2*(w + 2)/5
Factor 88/3*j + 20 + 4/3*j**4 - 8*j**3 + 0*j**2.
4*(j - 5)*(j - 3)*(j + 1)**2/3
Let z(h) = 18*h**2 + 2*h - 6. Let p(v) = -v**2 - v + 1. Let t(l) = 2*p(l) + z(l). Let o(b) = b**2 - 1. Let g(s) = 20*o(s) - t(s). Factor g(f).
4*(f - 2)*(f + 2)
Suppose -4*x - 6*j = -j + 22, -3*x - 4*j = 16. Let q = -19/3 - x. Factor 5/3*t + 1/3*t**5 - q*t**4 - 1/3 + 10/3*t**3 - 10/3*t**2.
(t - 1)**5/3
Solve -1848*o**4 + 45*o + 213*o**5 - 8 - 41*o**3 - 233*o - 2504*o**3 - 1318*o**2 - 278*o**5 - 376*o**5 = 0.
-2, -1, -2/21
Let g(h) be the third derivative of h**8/336 - h**7/14 + 67*h**6/120 - 43*h**5/20 + 14*h**4/3 - 6*h**3 + 13*h**2 + 2. Factor g(v).
(v - 9)*(v - 2)**2*(v - 1)**2
Let n(b) be the second derivative of 0 + 0*b**2 - 6*b - b**4 + 1/5*b**5 + 4/3*b**3. Let n(w) = 0. What is w?
0, 1, 2
Factor -4*s**2 + 8/3*s**3 - 32 - 200/3*s.
4*(s - 6)*(s + 4)*(2*s + 1)/3
Let o = 697 - 695. Let d(v) be the first derivative of 2/25*v**5 + 1/10*v**4 - 5 - 2/5*v**3 - v**o - 4/5*v. Factor d(w).
2*(w - 2)*(w + 1)**3/5
Let w(a) = -a**4 + a**3 - a**2 + a - 2. Let g(y) = -125*y**3 + 135*y**2 + 115*y - 115. Let z(o) = g(o) + 5*w(o). Factor z(j).
-5*(j - 1)**2*(j + 1)*(j + 25)
Suppose -2*t - v = 55, v + v = 5*t + 142. Let f be (-31 - t)/((-3)/2). Find p such that 27/2 + 3/2*p**f - 9*p = 0.
3
Let z(c) be the third derivative of c**5/270 - 5*c**4/54 + c**3/3 + 126*c**2. Determine m so that z(m) = 0.
1, 9
Let q be (-17 - -21)/(0 - -1). Let p(l) be the second derivative of 0 + q*l + 1/20*l**4 + 3/5*l**3 + 27/10*l**2. What is c in p(c) = 0?
-3
Suppose v - 39 = 3*r + 16, -4*r - 88 = -5*v. Let b = -7 - r. Factor -24*m**2 - 3 - 9*m**3 - 3 + b*m - 31*m.
-3*(m + 1)**2*(3*m + 2)
Let d(o) be the second derivative of 20*o**2 + 11*o + 0 + 5/4*o**4 + 35/3*o**3. Let d(u) = 0. What is u?
-4, -2/3
Let u = 40 + -26. Let l = u + -12. Determine m, given that -5*m**l + 2*m**2 - 16 + 7*m**2 = 0.
-2, 2
Find y such that 7*y - 3*y - 555*y**4 - 4*y**3 - 2 + 0*y + 557*y**4 = 0.
-1, 1
Let l(p) = p**2 + 16*p - 15. Let y be l(-17). Factor 0 - 1/4*b**3 + 0*b**y + 1/4*b.
-b*(b - 1)*(b + 1)/4
Let 652*y + 108*y**3 + 235*y + 4*y**4 - 101*y + 430*y + 672*y**2 = 0. What is y?
-19, -4, 0
Let z be (-1037)/(-671) + (6 - 3)/(-3). Factor -z*d + 0 - 2/11*d**2.
-2*d*(d + 3)/11
Let c(i) be the first derivative of 1/12*i**3 - 14 + 0*i + 0*i**2. Factor c(r).
r**2/4
Suppose 27*y + 0*y - 70 = -8*y. Let b(j) = -j**3 - 6*j**2 - 4*j + 5. Let c be b(-5). Solve -2/5*r**3 + 0 + 0*r**y + c*r - 2/5*r**4 = 0 for r.
-1, 0
Let j = 22/109 - 112/1635. Factor -18/5*l**2 + 18/5*l - j*l**4 + 6/5*l**3 + 0.
-2*l*(l - 3)**3/15
Let i(u) be the first derivative of 140*u**4 - 26 + 80*u + 35/6*u**6 + 40*u**2 - 520/3*u**3 - 47*u**5. Factor i(o).
5*(o - 2)**3*(o - 1)*(7*o + 2)
Let y = -30763/35 - -879. Let u(p) be the first derivative of 0*p**3 + 2/7*p + 4 - y*p**5 - 1/7*p**4 + 2/7*p**2. Factor u(q).
-2*(q - 1)*(q + 1)**3/7
Let j(z) be the first derivative of z**4/10 + 6*z**3/5 - 2*z**2 + 2. Factor j(a).
2*a*(a - 1)*(a + 10)/5
Let g = 108 - 107. Let l be 0 - (4 - 8) - (1 + g). Factor -4/7*o - 2/7*o**l - 2/7.
-2*(o + 1)**2/7
Let b(w) = -2*w - 3. Let p(s) = -5*s - 8. Let j(f) = -8*b(f) + 3*p(f). Let y be j(2). Factor -15*t**2 - 2 - y + 7*t**2 + 5*t**2 - 8*t.
-(t + 2)*(3*t + 2)
Let m be 24*(-1)/16*-6. Let q(n) be the second derivative of 2/9*n**4 + 0 + 2*n**2 - m*n - 10/9*n**3. Let q(w) = 0. Calculate w.
1, 3/2
Let j = 9147 - 9144. Factor 0 + 48/17*u**j + 70/17*u**4 + 8/17*u**2 + 0*u.
2*u**2*(5*u + 2)*(7*u + 2)/17
Let t(c) be the third derivative of -c**7/140 - 9*c**6/40 + 19*c**5/40 - 535*c**2. Find b, given that t(b) = 0.
-19, 0, 1
Let q(g) be the second derivative of 0 - 4/3*g**3 - 28*g**2 - 1/42*g**4 + 3*g. Let q(z) = 0. Calculate z.
-14
Factor -12/5*v - 54/5 + 2/5*v**2.
2*(v - 9)*(v + 3)/5
What is v in -267/7*v**2 + 3/7*v**4 - 135/7*v - 129/7*v**3 + 0 = 0?
-1, 0, 45
Let 16/3 + 8/3*f**3 + 58/3*f**2 - 188/9*f - 8/9*f**4 = 0. What is f?
-4, 1/2, 6
Let o(p) be the second derivative of p**7/231 + 4*p**6/165 + 3*p**5/110 + 130*p. Find l, given that o(l) = 0.
-3, -1, 0
Solve 27*g**2 - 40*g + 3*g**2 + 15*g**3 + 185 - 185 - 5*g**4 = 0.
-2, 0, 1, 4
Let a(r) be the first derivative of -5*r**4/4 + 30*r**3 - 165*r**2/2 + 80*r + 567. Factor a(q).
-5*(q - 16)*(q - 1)**2
Suppose 0*u + 324 - 414 = -45*u. Suppose 1/7*r**u + 1 + 8/7*r = 0. Calculate r.
-7, -1
Let d(h) be the third derivative of h**6/120 - h**5/10 + 3*h**4/8 - 36*h**2. Suppose d(y) = 0. What is y?
0, 3
Let h(o) = 4*o**2 - 4*o + 9*o**3 - o + 3*o - 10*o**3. Let g be h(3). What is s in s - 4*s - 3 + g*s**2 - 3*s + 3*s + 3*s**3 = 0?
-1, 1
Factor 3700*b + 1724 - 47*b**2 + 335*b**3 + 1710*b**2 + 716 + 227*b**2 + 5*b**4.
5*(b + 2)**3*(b + 61)
Let w(m) be the second derivative of m**7/630 + m**6/180 - m**5/15 - 11*m**4/4 + 11*m. Let t(z) be the third derivative of w(z). What is u in t(u) = 0?
-2, 1
Let t(f) be the second derivative of -f**6/195 + f**4/78 + 93*f. Let t(w) = 0. What is w?
-1, 0, 1
Let t(b) = 2 + b - 7 - 2. Let r be t(10). Factor 2*w**r - w**2 + w - w + w**4 - 2*w**4.
-w**2*(w - 1)**2
Suppose -5*u + 3*m + 9 = 0, -2*u + 7*m - 6 = 9*m. Let s(c) be the third derivative of -1/60*c**5 + 0 + 0*c**4 - 5*c**2 + u*c + 1/6*c**3. Factor s(b).
-(b - 1)*(b + 1)
Let u(w) = 9*w - 1. Let v be u(1). Suppose -4*s = -v*s + 100. Let 0*i + 9*i - 40 - 8*i**4 + 11*i + 30*i**2 - s*i**3 + 13*i**4 = 0. Calculate i.
-1, 2
Let l(z) be the third derivative of z**6/280 + z**5/28 - 4*z**4/7 + 18*z**3/7 - 106*z**2. Find q, given that l(q) = 0.
-9, 2
Let x = 5362 + -58932/11. Determine o, given that -20/11*o + 2/11*o**2 + x = 0.
5
Factor -32 + 10*u + 16*u**3 + 8*u + 46*u + 7*u**2 - 55*u**2 - 2*u**4.
-2*(u - 2)**4
Let y be ((-7)/6 - 14/(-21))*18. Let j be ((-69)/y - 3)*(-6)/(-21). Factor 0*k**2 + j*k**3 - 2/3*k**5 + 0*k + 0 - 2/3*k**4.
-2*k**3*(k - 1)*(k + 2)/3
Let i(k) be the third derivative of k**7/490 + k**6/35 + 6*k**5/35 + 4*k**4/7 + 8*k**3/7 + 64*k**2 + 1. Factor i(s).
3*(s + 2)**4/7
Let q(u) be the second derivative of 3/5*u**3 - 19*u + 3/100*u**5 + 1/4*u**4 + 0 + 0*u**2. Factor q(r).
3*r*(r + 2)*(r + 3)/5
Suppose -222 - 658 = 10*j. Let l = j - -92. Let 2/15*z**l + 2/15*z**3 + 0 + 0*z + 0*z**2 = 0. What is z?
-1, 0
Let c be -1 + ((-28)/(-7) - 0). Let a(g) be the first derivative of -1/12*g**6 + 2 + 0*g**2 + 0*g + 3/10*g**5 + 1/6*g**c - 3/8*g**4. Factor a(d).
-d**2*(d - 1)**3/2
Let s(k) be the first derivative of -3/2*k**3 - 3/8*k**4 + 3 - 9/4*k**2 - 3/2*k. Solve s(v) = 0 for v.
-1
Let o be (-136)/(-28) + (-2)/(-14). Factor -10*x - 1 + 0 + o*x**2 + 6.
5*(x - 1)**2
Let s(v) be the third derivative of -v**7/1365 + v**6/195 + 2*v**5/65 - 8*v**4/39 - 64*v**3/39 + v**2 - 45*v. Factor s(h).
-2*(h - 4)**2*(h + 2)**2/13
Let y be 1 - (-39)/(-45) - 0. Let l(j) = -j**2 + 10*j + 44. Let z be l(13). Factor -y*m**z + 4/15*m**3 + 2/15 - 2/15*m - 4/15*m**2 + 2/15*m**4.
-2*(m - 1)**3*(m + 1)**2/15
Let l be (-24)/(-10) - 2 - 5418/32895. Determine g, given that -4/17*g**3 + 8/17*g**2 + 2/17*g - 4/17*g**4 - l + 2/17*g**5 = 0.
-1, 1, 2
Suppose 3*t - 1 = 2*g - 3, -2*g + 5*t - 6 = 0. What is a in -29*a**5 - 12*a**4 + a**2 + 15*a**3 - g*a**2 + 32*a**5 = 0?
0, 1, 2
Let z(n) be the second derivative of -3/16*n**4 + 0*n**2 + 0 + 9/16*n**3 - 6*n + 3/40*n**6 - 3/20*n**5 - 1/112*n**7. Let z(t) = 0. Calculate t.
-1, 0, 1, 3
Factor c**4 - 723*c + 60*c**2 - 724*c + 1439*c + c**4 + 26*c**3 - 80.
2*(c - 1)*(c + 2)**2*(c + 10)
Let w(k) be the first derivative of k**8/6720 + k**7/840 + k**6/480 - k**5/120 - k**4/24 + k**3/3 + 12. Let m(x) be the third derivative of w(x). Factor m(o).
(o - 1)*(o + 1)*(o + 2)**2/4
Let i(l) = l**2 - l + 1. Let f(y) be the third derivative of -y**5/15 + 5*y**4/24 - 5*y**3/6 - 42*y**2. Let c(a) = f(a) + 5*i(a). Factor c(k).
k**2
Let h(y) be the second derivative of 5*y**4/12 + 95*y**3/6 - 105*y**2 + 86*y 