tive of -1/6*i**3 - 1/12*i**4 + 6*i + 1/30*i**6 + 1 + 1/20*i**5 + 0*i**2. Let y(d) be the first derivative of r(d). Factor y(n).
n*(n - 1)*(n + 1)**2
Let m(b) = -b**2. Let s(z) = 180*z**2 + 78*z + 9. Suppose -4*q - 5*l + 196 = 0, -76 = -4*q + 5*l + 80. Let y(r) = q*m(r) + 4*s(r). Factor y(u).
4*(13*u + 3)**2
Suppose d + g - 12 = -g, 4*d - 84 = 4*g. Factor -24*w**3 + 358*w - 72 - 3 - 3*w**4 - 238*w - d*w**2.
-3*(w - 1)**2*(w + 5)**2
Let u(g) be the first derivative of g**8/336 - g**7/42 - g**6/36 + g**5/2 + 15*g**4/8 - 17*g**3/3 - 22. Let a(h) be the third derivative of u(h). Factor a(f).
5*(f - 3)**2*(f + 1)**2
Let y = -18371/5 - -3573. Let p = -101 - y. Factor 0 + p*b**2 + 2/5*b.
b*(b + 2)/5
Let q(w) be the second derivative of 1/6*w**6 + 0 + 14*w + 0*w**2 + 0*w**3 + 5/6*w**4 + 3/4*w**5. Find n, given that q(n) = 0.
-2, -1, 0
Let s = -18189/245 - -198/49. Let m = -70 - s. Factor -m*q**3 + 0*q + 0 + 1/5*q**2.
-q**2*(q - 1)/5
Suppose 118*q - 50*q = 58*q + 20. Solve -2/15*b**q - 2/5*b + 0 = 0.
-3, 0
Let h(j) be the second derivative of j**6/120 - j**4/24 + 27*j**2/2 + 15*j. Let r(z) be the first derivative of h(z). Factor r(v).
v*(v - 1)*(v + 1)
Let c(q) be the first derivative of q**6/2340 - q**5/780 - q**4/78 + 25*q**3/3 + 29. Let k(g) be the third derivative of c(g). Determine b so that k(b) = 0.
-1, 2
Let b(x) be the third derivative of x**7/2520 + x**6/720 + x**5/720 + x**3 + 4*x**2. Let i(m) be the first derivative of b(m). Factor i(k).
k*(k + 1)*(2*k + 1)/6
Let f(t) be the third derivative of -t**5/90 - 5*t**4/18 - 7*t**3/3 + t**2 - 87*t. Factor f(r).
-2*(r + 3)*(r + 7)/3
Let l(h) be the third derivative of 1/56*h**8 + 13*h**2 + 0 + 0*h**4 + 0*h**3 - 2*h + 7/40*h**6 - 1/10*h**5 - 1/10*h**7. Find x such that l(x) = 0.
0, 1/2, 1, 2
Suppose 6*f - 32 = 64. Suppose -z + 2*q + 8 = 0, -5*z - q + 2 = -f. Determine o so that 0 + 0*o + 0*o**2 - 5/4*o**z + 3/4*o**3 = 0.
0, 3/5
Let n(g) be the first derivative of 5/4*g**4 + 2*g**5 + 0*g + 1 + 5/6*g**6 + 0*g**2 + 0*g**3. Factor n(m).
5*m**3*(m + 1)**2
Find k such that 64/3 + 188/9*k**2 + 382/9*k - 2/9*k**3 = 0.
-1, 96
Let h(p) be the second derivative of p**6/225 + 17*p**5/75 + 107*p**4/30 + 544*p**3/45 + 256*p**2/15 - 93*p. Solve h(d) = 0 for d.
-16, -1
Let h(u) = 2*u**3 - 12*u**2 + 2*u + 16. Let c(f) = -f - 1. Let g(a) = 4*c(a) + h(a). Suppose g(x) = 0. Calculate x.
-1, 1, 6
Let s(w) be the third derivative of w**8/112 + w**7/105 - w**6/30 - w**5/30 + w**4/24 - 9*w**2 + 4*w. Factor s(k).
k*(k - 1)*(k + 1)**2*(3*k - 1)
Let f(j) be the third derivative of -j**5/15 - 25*j**4/72 - j**3/9 + 36*j**2. Find g, given that f(g) = 0.
-2, -1/12
Suppose -14*j + 10*j - 20 = 0, q = -j - 1. Suppose -13/3*y**2 + 7/6*y**q + 3/2*y**3 - 6*y - 4/3 = 0. What is y?
-2, -1, -2/7, 2
Let c(d) = 54*d**3 - 48*d**2 - 45*d + 102. Let g(n) = -11*n**3 + 10*n**2 + 9*n - 20. Let m(s) = -4*c(s) - 21*g(s). Factor m(x).
3*(x - 1)**2*(5*x + 4)
Factor -6 + 4 - 2*x**2 - 65*x + 3 - 5 + 59*x.
-2*(x + 1)*(x + 2)
Let g(a) be the third derivative of -a**6/40 - a**5/2 - 11*a**4/8 + 35*a**3 - 26*a**2 + 2*a. Solve g(u) = 0.
-7, -5, 2
Let u be 1/(-3) - 7/(-3). Let r be (10 + (-44)/3)*(-6)/7. Suppose 5*d**2 - 7*d**u + r*d**4 + 3*d**3 - 5*d**4 = 0. Calculate d.
0, 1, 2
Let n = -1225181/8665 - 10/1733. Let a = n - -142. Factor -a*d + 1/5*d**3 - 2/5 + 0*d**2.
(d - 2)*(d + 1)**2/5
Suppose -2*z = -2*i + z + 2, i - 1 = -2*z. Let j be i/(-1) - ((-20)/2 - -6). Factor -1/2*w**5 - 2*w**2 + 0*w + 3/2*w**4 + 0 + 0*w**j.
-w**2*(w - 2)**2*(w + 1)/2
Let m be ((-88)/165)/(8/(-10)). Let b(w) be the third derivative of 0*w - w**2 - m*w**3 + 1/60*w**5 + 0 + 1/8*w**4. Find r such that b(r) = 0.
-4, 1
Factor -1/3*p**2 + 0 - 1/3*p**3 + 0*p.
-p**2*(p + 1)/3
Let q = 4 - 1. Determine v, given that q*v**3 - 2*v**4 + v**4 - 4*v**5 - 7*v**3 + 4*v**2 + 5*v**5 = 0.
-2, 0, 1, 2
Suppose 0*d = -3*f + 4*d + 18, -11 = -4*f + d. Let b be 32/(-496)*-31 - ((-8)/(-10) - -1). Find k such that -3/5 + k - 1/5*k**3 - b*k**f = 0.
-3, 1
Solve -15/2*r + 6 + 3/2*r**2 = 0 for r.
1, 4
Let u(z) be the first derivative of 2*z**6/105 - 3*z**5/35 + 2*z**4/21 + 10*z + 2. Let g(x) be the first derivative of u(x). Factor g(f).
4*f**2*(f - 2)*(f - 1)/7
Let w be -4 - (-56)/(-20) - (-1 - 13 - -6). Suppose 3/5*s**3 + 0 - w*s - 3/5*s**2 = 0. What is s?
-1, 0, 2
Let t(z) = -3*z - 17. Let s be t(11). Let b = -50 - s. Factor b*m - 1/6*m**2 + 0.
-m**2/6
Suppose 5*d = 3*w + 20, -5*w = -0*d + 2*d - 39. Let x(p) = p - 5. Let u be x(d). Factor -u*v**4 - v**3 - 5*v**3 + v**3 + v**3.
-2*v**3*(v + 2)
Let l = 62 - 59. Suppose -b = -4*a - 15, -l*b + 6 = 4*a - 3*a. Suppose -3*o + 2/3 - 2/3*o**2 + b*o**3 = 0. What is o?
-1, 2/9, 1
Let j = 1214/165 - -17/55. Factor -7/3*a**2 + j*a - 2.
-(a - 3)*(7*a - 2)/3
Let w(a) = 10*a**4 - 108*a**3 - 54*a**2 + 306*a - 14. Let v(m) = -2*m**4 + 22*m**3 + 11*m**2 - 61*m + 3. Let n(y) = 14*v(y) + 3*w(y). Factor n(i).
2*i*(i - 8)*(i - 2)*(i + 2)
Let s = -3417 - -1745. Let t be s/(-20) - (-2)/5. Factor t*k - 6 + 2 - 147*k**2 - 8.
-3*(7*k - 2)**2
Suppose -33*r = 18*r - 102. Let t(z) be the second derivative of 1/42*z**4 + 0*z**3 + 0 + 6*z + 0*z**r. Factor t(j).
2*j**2/7
Let w be (-1 + -49)*(-95)/950. Let p(v) be the second derivative of -1/90*v**6 + 0*v**2 + 13*v + 5/18*v**3 + 1/4*v**4 + 0 + 1/20*v**w. Let p(n) = 0. What is n?
-1, 0, 5
Let j(b) = -7*b**3 + 33*b**2 - 105*b + 75. Let s(a) = -a**3. Let r(w) = -j(w) + 4*s(w). What is f in r(f) = 0?
1, 5
Let l = 20 - 17. Let r be 1*(-1 + 0)*1 + 12. Find x, given that x**4 + l*x**2 - 15*x**2 + r*x**2 = 0.
-1, 0, 1
Let w(b) be the first derivative of -2*b**5/25 + 2*b**3/5 + 2*b**2/5 + 259. Factor w(p).
-2*p*(p - 2)*(p + 1)**2/5
Suppose 342 - 11 = 3*u + 4*x, -u - x + 112 = 0. Factor -1 + 2 - 118*h**4 + 2*h**3 - 2*h + u*h**4.
-(h - 1)**3*(h + 1)
Let g be (0 - (1 - -1))/(18/1395). Let s = g + 467/3. Determine o so that -4/3*o + s*o**2 + 2/3 = 0.
1
Let w = -1924 - -1927. Factor 5/2*h**2 + 1/2*h**4 + 2*h**w + h + 0.
h*(h + 1)**2*(h + 2)/2
Suppose -4*n + 30 = -30. Solve -n*q - 33 + 5*q**2 - 28 + 11 = 0.
-2, 5
Suppose -f - 11 = -3*v, 2*v + 10 = 2*f + 4*v. Factor 43*r**2 + 21 - 16*r**2 - f + 18*r**2 - 60*r.
5*(3*r - 2)**2
Let k(t) be the third derivative of 1/24*t**3 + 0*t + 0 - 1/192*t**4 + 1/960*t**6 + 1/1680*t**7 - 1/160*t**5 - 4*t**2. Factor k(x).
(x - 1)**2*(x + 1)*(x + 2)/8
Let y(w) = -84*w**2 + 4264*w - 87380. Let o(g) = -13*g**2 + 656*g - 13443. Let l(d) = -32*o(d) + 5*y(d). Solve l(i) = 0 for i.
41
Let d be (1/4*-9)/(30/20). Let l = 25/14 + d. Factor 0*n**2 - 4/7*n + 2/7*n**4 - l + 4/7*n**3.
2*(n - 1)*(n + 1)**3/7
Let w(z) be the third derivative of z**5/12 - 35*z**4/24 - 20*z**3/3 + 3*z**2 + 5*z. What is n in w(n) = 0?
-1, 8
Let q(v) be the first derivative of -4*v**3 + 14*v**2 + 24*v + 133. Determine l, given that q(l) = 0.
-2/3, 3
Let x be ((-8)/(-72))/((-1)/(-3))*(-208)/(-156). Find w such that 0 + 0*w + x*w**2 = 0.
0
Let l(j) be the first derivative of 0*j + 2/21*j**3 - 1/14*j**4 + 6/7*j**2 - 27. Factor l(k).
-2*k*(k - 3)*(k + 2)/7
Let n(l) be the third derivative of l**6/40 - 13*l**5/20 + 39*l**4/8 - 27*l**3/2 + 419*l**2. Find p, given that n(p) = 0.
1, 3, 9
Let q(b) be the third derivative of b**6/120 - b**5/20 - 13*b**4/24 + 5*b**3/2 - 29*b**2 - 3. Determine n, given that q(n) = 0.
-3, 1, 5
Suppose -53 = -c + 6*c + 4*b, -4*b - 8 = 0. Let u be c/(-2) - (-5)/(-10). Solve -2*x - 2*x**u + 2*x - 4*x**3 - 2*x**2 + 0*x**2 = 0.
-1, 0
Determine w so that -324*w + 332*w - 11*w**3 + 12*w**2 - 5*w**3 + 5*w**4 - 2*w**3 = 0.
-2/5, 0, 2
Suppose 5*k + 3*s - 4 - 18 = 0, 0 = -s + 4. What is a in 2*a + 9*a**3 - 4*a**3 + 4*a**k - 3*a**3 = 0?
-1, 0
Let a(s) be the first derivative of s**5/420 - 5*s**4/84 + 3*s**3/14 + 33*s**2/2 - 27. Let k(g) be the second derivative of a(g). Factor k(z).
(z - 9)*(z - 1)/7
Suppose -12 = 4*p, -3*p - 6 = -f + 8. Let o be f/(-2) + 2 + 1. Factor 1/2*w**2 - 1 - o*w.
(w - 2)*(w + 1)/2
Let -20*u**2 - 9 + 9 + 824*u - 788*u = 0. What is u?
0, 9/5
Let n(x) be the third derivative of -x**6/900 - 2*x**5/225 + 19*x**2 - 2*x. Factor n(t).
-2*t**2*(t + 4)/15
Suppose 1/6*t**2 + 41/3*t + 1681/6 = 0. Calculate t.
-41
Let m(j) be the third derivative of -j**7/140 + 19*j**6/80 - 2*j**5 - 25*j**4/4 - 2*j**2 + 210. Find y, given that m(y) = 0.
-