rivative of 1 + 0*m - 2/3*m**3 + u*m**2. Factor f(y).
-2*y**2
Let w be (-2)/(-3)*522/1. Find m, given that 9*m**4 + 12*m**4 - w*m**5 + 336*m**5 + 6*m**3 = 0.
-1/4, 0, 2
Let z(l) be the first derivative of 3*l**2 - 2/3*l**3 - 3 + 8*l. Find s such that z(s) = 0.
-1, 4
Suppose -12 = -5*s + 8. Factor -4*x**4 - s + 4 + 2*x**4.
-2*x**4
Let t = -122 - -611/5. Let z(a) be the first derivative of -8/15*a**3 + 5 + 0*a + t*a**2. Factor z(n).
-2*n*(4*n - 1)/5
Let o be ((-2)/4)/(3/54). Let m = 12 + o. Determine c, given that c**2 - c**3 - c**3 + 2*c**m + c**3 = 0.
-1, 0
Factor 448*g**2 + 439*g + 23*g - 451*g**2 + 168 - 627.
-3*(g - 153)*(g - 1)
Let l = 686 + -684. Determine d so that 5/4*d**3 + 15/4*d - 5/4 - 15/4*d**l = 0.
1
Factor 3*s**5 + 6*s**4 - s**4 + 0*s**5 + 4*s**4 - 9*s**2 + 12*s - 15*s**3.
3*s*(s - 1)**2*(s + 1)*(s + 4)
Let q(w) be the third derivative of w**8/1008 - 29*w**7/1260 + 7*w**6/80 - 7*w**5/72 - 13*w**4/144 + w**3/3 + 32*w**2 + 2*w. Let q(g) = 0. Calculate g.
-1/2, 1, 12
Let h(b) be the third derivative of 2*b**7/735 + b**6/70 + b**5/35 + b**4/42 - 7*b**2 + 2. Factor h(t).
4*t*(t + 1)**3/7
Let p(g) be the first derivative of g**6/120 - 2*g**5/15 - 3*g**4/8 + 2*g**2 - 2*g + 35. Let x(r) be the second derivative of p(r). Factor x(k).
k*(k - 9)*(k + 1)
Let d(s) = -2*s**3 - 15*s**2 + 8*s + 2. Let w be d(-8). Let l(y) be the third derivative of 0 + 0*y + 1/168*y**4 - 1/420*y**5 + w*y**2 + 1/21*y**3. Factor l(n).
-(n - 2)*(n + 1)/7
Factor 0 - 4/3*q**2 + 20/3*q**3 - 32/3*q**4 + 16/3*q**5 + 0*q.
4*q**2*(q - 1)*(2*q - 1)**2/3
Let r(j) be the third derivative of j**5/240 + j**4/32 - 9*j**3/4 - 3*j**2 - 24*j. Factor r(u).
(u - 6)*(u + 9)/4
Let c(d) be the second derivative of -d**5/30 - 19*d**4/6 - 99*d**3 - 729*d**2 + 577*d. Factor c(n).
-2*(n + 3)*(n + 27)**2/3
Let r(x) = 3*x**3 + 9*x**2 + 2. Let g(u) = -16*u**3 - 43*u**2 - 11. Let l(s) = -4*g(s) - 22*r(s). Determine y so that l(y) = 0.
-13, 0
Let a be (16/12)/((-12)/(-549)). Let y be (2/(-1))/2 - (a - 64). Let 0 + 0*o**y + 2/3*o**4 + 0*o + 0*o**3 = 0. Calculate o.
0
Suppose -14/5*v - 36/5 + 2/5*v**2 = 0. Calculate v.
-2, 9
Let t(p) = -4*p**2 + 3 + p**2 + 7*p**2 - 8*p**2. Let r(b) = 4 - 4 - b**2. Let m(x) = -r(x) + t(x). Factor m(o).
-3*(o - 1)*(o + 1)
Suppose 12*d = 14*d - 10. Find z such that -2*z**d + 2*z**3 - 2*z**3 - 4*z**4 - 2*z**3 = 0.
-1, 0
Suppose 0 = 2*g - v + 33, -2*v + 3*v - 1 = 0. Let z(m) = -m - 14. Let k be z(g). Suppose 0*n + 0 - 10/3*n**3 - 4/3*n**4 + 10/3*n**5 + 4/3*n**k = 0. Calculate n.
-1, 0, 2/5, 1
Let i(m) be the third derivative of m**7/2940 - m**6/420 + m**4/21 + 13*m**3/6 - 14*m**2. Let j(c) be the first derivative of i(c). Factor j(x).
2*(x - 2)**2*(x + 1)/7
Let d(c) = c**4 - c + 1. Let o(l) = 12*l**4 - 21*l**3 - 42*l**2 - 21*l + 6. Let z(k) = -6*d(k) + o(k). Determine a, given that z(a) = 0.
-1, -1/2, 0, 5
Let i(f) be the second derivative of -f**5/30 + 2*f**4/9 - 4*f**3/9 + f - 191. Find q, given that i(q) = 0.
0, 2
Let a = 55278/5 + -11054. Factor a*k**3 + 4/5 + 4/5*k**4 - 8/5*k**2 - 4/5*k - 4/5*k**5.
-4*(k - 1)**3*(k + 1)**2/5
Let l = 11032 + -11030. Factor 1/5*i**2 + l*i + 5.
(i + 5)**2/5
Let t(m) be the third derivative of 14*m**2 + 0*m**6 + 0*m**3 + 0*m**4 - 1/840*m**7 + 0*m + 1/240*m**5 + 0. Determine x so that t(x) = 0.
-1, 0, 1
Let h(x) be the first derivative of -10*x**2 - 9 - 25*x + 5/3*x**3. Determine l so that h(l) = 0.
-1, 5
Let d be 0 - (415/(-540) - 6/(-8)). Let q(n) be the second derivative of -2/9*n**2 - 1/27*n**3 + 0 - 4*n + d*n**4. Determine h so that q(h) = 0.
-1, 2
What is b in 3*b**2 + b**4 - 4*b**4 - 303*b**3 + 164*b**3 - 15*b + 154*b**3 = 0?
-1, 0, 1, 5
Let h(x) be the second derivative of -x**7/14 - 9*x**6/5 - 96*x**5/5 - 112*x**4 - 384*x**3 - 768*x**2 + 75*x + 1. Factor h(t).
-3*(t + 2)*(t + 4)**4
Let z be (13/13)/(6/(-422)). Let g = z + 71. What is w in -8/3 - 8/3*w - g*w**2 = 0?
-2
Suppose 46282*f - 46304*f = 0. Solve 12/5*u**4 + 0*u + f + 8/5*u**2 - 18/5*u**3 - 2/5*u**5 = 0.
0, 1, 4
Determine t, given that -2*t**2 - 63*t + 0*t**2 + 51 + 5*t**2 - 20*t + 29*t = 0.
1, 17
Let t(m) be the first derivative of -m**7/420 + m**5/24 - m**3/3 + 15*m**2 + 27. Let h(u) be the second derivative of t(u). Determine q, given that h(q) = 0.
-2, -1, 1, 2
Let i(j) be the third derivative of 0 - 1/4*j**4 + 1/30*j**5 + 0*j - 14*j**2 + 2/3*j**3. Solve i(r) = 0.
1, 2
Let f(k) be the second derivative of -1/105*k**6 + 0*k**5 - 13*k + 0*k**4 - 1/147*k**7 + 0*k**3 + 0 + 0*k**2. Solve f(z) = 0.
-1, 0
Let x(o) be the first derivative of o**4/24 - 13*o**3/18 - 5*o**2/2 - 27. Factor x(p).
p*(p - 15)*(p + 2)/6
Let r(n) = -n - 5. Let y be r(-10). Determine j, given that -y*j**3 - 3 + 4 - 1 - 5*j**2 = 0.
-1, 0
Factor 12 - 32 - 23 - 5 + b + 2*b**2 + 3*b.
2*(b - 4)*(b + 6)
Suppose -10*l**2 - 2/5*l**3 - 46/5 - 94/5*l = 0. What is l?
-23, -1
Factor 41/2*f + 5/2*f**2 + 4.
(f + 8)*(5*f + 1)/2
Let n(s) be the second derivative of -1/14*s**4 + 0 - 1/70*s**5 + 0*s**3 + 0*s**2 - 16*s. What is l in n(l) = 0?
-3, 0
Suppose 4*v + 4 = 3*d - 2, 4*v + 5*d - 10 = 0. Suppose s + 3 - 7 = v. Factor -5*o**2 + 4*o**3 - 3*o**s + 2*o**4 - 86 + 2*o + 86.
-o*(o - 2)*(o - 1)**2
Let r(v) be the second derivative of -v**6/135 + 7*v**5/90 - 7*v**4/54 - 5*v**3/9 - 3*v - 31. Factor r(i).
-2*i*(i - 5)*(i - 3)*(i + 1)/9
Let y(u) = -u + 14. Let s be y(11). Suppose s*l + 3 = 4*c, -5 = -10*c + 13*c + 5*l. Factor -3/2*w**2 + c*w + 3/4*w**3 + 0.
3*w**2*(w - 2)/4
Factor -12*h**3 - 332*h + 18*h**2 + 6*h**3 - 24 - 9*h**3 + 3*h**4 + 344*h.
3*(h - 2)**3*(h + 1)
Suppose -2*n + 4*q + 4 = -5*n, 5*n + q = -1. Let f(j) be the third derivative of 0 - 1/12*j**4 - 1/60*j**5 + n*j + 6*j**2 + 1/2*j**3. Factor f(c).
-(c - 1)*(c + 3)
Let i be (-3 - (-58)/4) + 65 + -72. Factor 0 + i*t**2 - 3*t - 3/2*t**3.
-3*t*(t - 2)*(t - 1)/2
Let h(m) be the third derivative of -m**5/120 + 17*m**4/48 + 3*m**3/2 - 86*m**2. Solve h(l) = 0.
-1, 18
Let -48 - 1488/7*k**2 - 1692/7*k - 387/7*k**3 - 12/7*k**4 = 0. What is k?
-28, -2, -1/4
Let g(i) be the first derivative of -i**5/60 + i**4/8 - i**3/3 + 3*i**2 - 2. Let f(j) be the second derivative of g(j). Determine x, given that f(x) = 0.
1, 2
Let j = -233 - -9323/40. Let m(b) be the second derivative of 0*b**3 + 0*b**2 + 0 + 1/120*b**6 - 4*b + 3/16*b**4 - j*b**5. Factor m(p).
p**2*(p - 3)**2/4
Let c(k) be the third derivative of -k**6/24 + 5*k**5/12 + 55*k**4/6 + 50*k**3 + 85*k**2 - 1. Factor c(i).
-5*(i - 10)*(i + 2)*(i + 3)
Let t(m) be the second derivative of -21*m**6/10 - 24*m**5/5 - 111*m**4/28 - 9*m**3/7 - 4*m - 1. Factor t(f).
-3*f*(3*f + 2)*(7*f + 3)**2/7
Let v be (-2)/(-5)*1 - (-91)/35. Let -4*o**3 + 42*o**2 - 33*o**2 + o**v + 15 + 27*o = 0. What is o?
-1, 5
Let s(u) = u**2 + 4*u - 137. Let g be s(-14). Factor -9/7*p**4 + 0 + 6/7*p**g + 0*p**2 + 3/7*p**5 + 0*p.
3*p**3*(p - 2)*(p - 1)/7
Let s(a) = a**3 + 2*a**2 - a + 1. Let d be s(-2). Suppose -6 = -d*v + v. Solve 0 + k**2 - 3/2*k**v + 0*k = 0 for k.
0, 2/3
Let v = 6030 + -6027. Factor 2/5*u**2 + 2/5*u**4 + 0*u + 0 + 4/5*u**v.
2*u**2*(u + 1)**2/5
Let w(b) be the third derivative of -b**7/1050 + b**6/100 + 7*b**5/300 - 7*b**2 - 1. Factor w(d).
-d**2*(d - 7)*(d + 1)/5
Let g be -2 + 21140/25 + 1. Let a = g - 841. Factor a + 12/5*q + 2/5*q**2.
2*(q + 3)**2/5
Let c(n) be the third derivative of n**9/7560 + n**8/1680 + n**7/1260 + n**4/6 - 6*n**2. Let d(i) be the second derivative of c(i). Let d(u) = 0. What is u?
-1, 0
Solve -16 + 4/3*o + 2/3*o**2 = 0.
-6, 4
Let d = -13725/7 + 1961. Factor 12/7 - d*w**2 - 2/7*w.
-2*(w - 2)*(w + 3)/7
Let o be ((-10)/5*360/32)/(-6). Factor 3*v - 3/4*v**2 + o.
-3*(v - 5)*(v + 1)/4
Let b(v) be the first derivative of 2*v**3/3 + 36*v**2 + 648*v - 14. Factor b(s).
2*(s + 18)**2
Factor -34508 + 90*j**2 + 652 - 337*j - 399*j - 94*j**2.
-4*(j + 92)**2
Find b, given that 46*b + 2*b**3 - 48 - 24*b**2 + 39*b - 30*b - 25*b + 40*b = 0.
1, 3, 8
Let h(t) be the third derivative of 1/30*t**5 + 0 + 0*t - 1/6*t**4 + 13*t**2 + 0*t**3. Solve h(a) = 0.
0, 2
Let z(j) = -7*j**3 + 6*j**2 + j - 6. Let t = -3 - -10. Let u(x) = 5*x**2 - 2*x**2 - 8*x**3 - 8 + 4*x**2 + 1 + x. Let o(w) = t*z(w) - 6*u(w). Factor o(k).
-k*(k - 1)*(k + 1)
Let a(t) = 9*t**2 - 34*t + 5. Let s(r) = 4*r**2 - 18*r + 2. Let o(z) = 2*a(z) - 5*s(z). Let o(k) = 0. W