*2.
2*l*(l - 1)**3*(l + 1)/5
Let o(t) = 6*t - 45. Let l be o(8). Factor 3/2*i**5 - 15/2*i**4 + 6*i**2 - 12*i + 0 + 9*i**l.
3*i*(i - 2)**3*(i + 1)/2
Let q be -5 + 5/5 + 108/26. Let -2/13*b**4 + 2/13*b**3 - 2/13*b + 0 + q*b**2 = 0. What is b?
-1, 0, 1
Let o(c) be the first derivative of -4*c**3/3 + 4*c - 9. Factor o(a).
-4*(a - 1)*(a + 1)
Suppose 0 = 5*a - 2*a - 12. Suppose -a*k**4 + 8*k**2 + 2*k**3 - 2*k**4 + 3*k**3 - 2 - k**3 - 4*k = 0. Calculate k.
-1, -1/3, 1
Let s be 4/(-12) + (-7)/(-3). Suppose 3 = y - s. Factor -2*v**3 - 3*v**2 - y - 6*v + 3 - 3*v**2.
-2*(v + 1)**3
Factor -2/3 + 7/3*q**2 - 5/3*q.
(q - 1)*(7*q + 2)/3
Let a(j) = -j**3 - 9*j**2 + 2*j + 20. Let z be a(-9). Factor -8/5*t - 2/5*t**z - 8/5.
-2*(t + 2)**2/5
Let z(c) be the third derivative of -c**8/756 - 2*c**7/315 - c**6/135 + 2*c**5/135 + c**4/18 + 2*c**3/27 + 2*c**2. Find o, given that z(o) = 0.
-1, 1
Suppose d + 4*d - 25 = 0. Determine i so that -i**4 - 2*i**3 + 2*i**d - 2*i**2 + i**4 + 2*i**4 = 0.
-1, 0, 1
Let u be (-156)/(-27) - 4/(-18). Suppose -u + 18 = 3*r. Factor 2*z**2 - r - z**4 + 3 + 0*z**2.
-(z - 1)**2*(z + 1)**2
Let b(w) be the first derivative of -2*w**3 + 0*w + 3/2*w**2 + 3/4*w**4 - 5. Factor b(f).
3*f*(f - 1)**2
Solve -52*j**2 - 10*j**3 + 16*j + 2*j**5 + 102*j**2 - 8 + 2*j**4 - 52*j**2 = 0.
-2, 1
Let l(z) be the first derivative of -1/3*z**3 - 16*z + 4*z**2 - 9. Determine g so that l(g) = 0.
4
Let x(g) be the third derivative of g**6/300 - g**4/60 + 15*g**2. Factor x(u).
2*u*(u - 1)*(u + 1)/5
Let h be 76/120 + (-6)/45. Let -1/2*p**4 + 0*p + 1/2*p**5 - 1/2*p**3 + 0 + h*p**2 = 0. Calculate p.
-1, 0, 1
Let l(b) = 14*b**4 + 12*b**3 - 11*b**2 - 17*b + 2. Let g(d) = -57*d**4 - 48*d**3 + 45*d**2 + 69*d - 9. Let n(q) = 5*g(q) + 21*l(q). Factor n(k).
3*(k - 1)*(k + 1)**2*(3*k + 1)
Let h(w) be the first derivative of -13*w**3 - 19*w**2/2 - 2*w - 62. Let h(z) = 0. What is z?
-1/3, -2/13
Let v be ((-1)/(-1) - -5)*-1. Let c(w) = w**3 + 7*w**2 + 7*w + 8. Let n be c(v). Let 0 - l**n - l - l - 1 = 0. Calculate l.
-1
Suppose -y - 10 = -15. Let m(w) be the second derivative of 1/30*w**y + 0*w**4 - 2*w - 1/90*w**6 - 1/9*w**3 + 0 + 1/6*w**2. Let m(q) = 0. Calculate q.
-1, 1
Let x(v) be the third derivative of v**5/30 - 5*v**4/12 - 2*v**3 + 2*v**2 + 33. Suppose x(g) = 0. What is g?
-1, 6
Let g(h) = 4*h - 3. Let w(x) = 5*x - 3. Let l(c) = 4*g(c) - 3*w(c). Let z be l(5). Factor -2 + 3*r**z - 5*r**3 + r**3 + 3*r**2.
-2*(r - 1)**2*(2*r + 1)
Let f(v) be the first derivative of v**6/3 + 8*v**5/5 + 2*v**4 - 4*v**3/3 - 5*v**2 - 4*v + 9. Factor f(s).
2*(s - 1)*(s + 1)**3*(s + 2)
Let b(t) be the third derivative of t**6/80 + 3*t**5/40 - t**3 - 5*t**2. Factor b(m).
3*(m - 1)*(m + 2)**2/2
Let u(n) be the third derivative of n**8/8960 - n**7/2880 - n**6/1440 + n**5/30 + 3*n**2. Let l(r) be the third derivative of u(r). Factor l(q).
(q - 1)*(9*q + 2)/4
Let j(h) = h**5 - 23*h**4 + 47*h**3 - 39*h**2 + 14*h - 2. Let m(d) = d**5 + d**4 - d**3 - d + 1. Let s(z) = j(z) + 2*m(z). Factor s(w).
3*w*(w - 4)*(w - 1)**3
Let m(v) be the first derivative of 2*v**6/21 + 12*v**5/35 + v**4/7 - 4*v**3/7 - 4*v**2/7 - 6. What is q in m(q) = 0?
-2, -1, 0, 1
Let n(d) = d**3 + 3*d**2 - 3*d + 4. Let x be n(-4). Let c(j) = j**3 - j**2 - j + 6. Let g be c(x). Suppose g*l + l + 6*l**2 + 3*l + 4 = 0. Calculate l.
-1, -2/3
Let z(w) be the first derivative of w**2 - 3*w + 5. Let t be z(3). Determine u so that -5/3*u**4 + 5/3*u**2 + 0 - 3*u**t + 7/3*u**5 + 2/3*u = 0.
-1, -2/7, 0, 1
Let t be ((-42)/52)/(-3 - 3). Let p = t + 3/26. Factor p*v**3 + 5/4*v - v**2 - 1/2.
(v - 2)*(v - 1)**2/4
Solve 24*f + 569*f**3 - 375*f**4 - 119*f**3 - 151*f**2 - 29*f**2 = 0.
0, 2/5
Let z be (-12)/(-70)*238/102. What is t in 2/5*t**3 + 2/5*t**4 - 2/5*t**5 + 0*t - z*t**2 + 0 = 0?
-1, 0, 1
Suppose 3*b - 5*c + 7 = 0, b - 5*c = -0*b + 1. Let d be b/(-6)*3 + 1. Factor -5 + 1 - 3*j**d + 4.
-3*j**3
Let k(d) be the first derivative of 3*d**5/40 - 7*d**3/8 + 9*d**2/8 + 11. Determine f so that k(f) = 0.
-3, 0, 1, 2
Let x(y) be the second derivative of -y**7/21 + 11*y**6/15 - 12*y**5/5 - 6*y**4 - 16*y. What is a in x(a) = 0?
-1, 0, 6
Let y(d) be the first derivative of -1/20*d**4 - 2 + d + 0*d**2 + 0*d**3. Let o(i) be the first derivative of y(i). Determine l, given that o(l) = 0.
0
Let z(c) be the third derivative of -1/50*c**5 + 2*c**2 + 0*c + 0 + 1/300*c**6 + 1/20*c**4 - 1/15*c**3. Factor z(a).
2*(a - 1)**3/5
Let s = -3/14 - -37/42. Determine f so that s*f - 2/3*f**2 + 4/3 = 0.
-1, 2
Let f(y) = y**4 + 7*y**3 + 4*y**2 + 6*y. Let g(q) = -q**3 - q**2 - q. Let r(n) = -f(n) - 6*g(n). Let r(u) = 0. What is u?
-2, 0, 1
Let s(x) = x**2 - 3*x - 18. Let c be s(6). Let h(n) be the third derivative of -1/180*n**5 - n**2 + 0*n - 1/18*n**3 - 1/36*n**4 + c. Solve h(p) = 0 for p.
-1
Let w(h) = -9*h**3 - 7*h**2 + 2*h - 7. Let x(g) = 4*g**3 + 3*g**2 - g + 3. Let l(b) = 3*w(b) + 7*x(b). Suppose l(m) = 0. Calculate m.
-1, 0, 1
Let c(p) be the first derivative of 7*p**4/60 + 2*p**3/5 - 2*p**2/5 + 2*p - 7. Let r(z) be the first derivative of c(z). Let r(v) = 0. Calculate v.
-2, 2/7
Let o(z) = -z**3 - z**2 + z. Let j(v) = -8*v**2 + 6*v. Let x(n) = -2*j(n) + 4*o(n). Suppose x(d) = 0. What is d?
0, 1, 2
Let w(b) be the second derivative of b**5/170 - 9*b**4/34 + 81*b**3/17 - 729*b**2/17 - 19*b. Determine q, given that w(q) = 0.
9
Let u(f) be the third derivative of 1/315*f**7 + 0*f + 0*f**4 + 0*f**5 + 0 + 0*f**3 - 6*f**2 + 1/180*f**6. Let u(d) = 0. Calculate d.
-1, 0
Let n = 4281/40 - 107. Let r(q) be the second derivative of 1/60*q**6 + 0*q**4 + 0*q**2 + 0*q**3 + 0 + n*q**5 - 3*q. Let r(i) = 0. Calculate i.
-1, 0
Let u = -8 + 11. Suppose -8*f + u*f = -35. Find d, given that -d + 0 - d**5 - 9/2*d**2 - 9/2*d**4 - f*d**3 = 0.
-2, -1, -1/2, 0
Let q = 1 - -3. What is d in 3*d**2 - 9*d**2 + q*d**2 + 8*d**3 = 0?
0, 1/4
Let k = -6/1351 + -16098/25669. Let z = -22/95 - k. Factor z*h**2 - 2/5 + 0*h.
2*(h - 1)*(h + 1)/5
Suppose j - 4*j + 2*b + 8 = 0, -2*b - 8 = 4*j. Let d be 4/(-8) - (j - 2). Solve 0 - d*p**2 - 1/2*p**3 - p = 0.
-2, -1, 0
Let w(n) = -14*n**2 + 12*n + 10. Let k(z) = -9*z**2 + 8*z + 7. Let m(x) = -8*k(x) + 5*w(x). Factor m(s).
2*(s - 3)*(s + 1)
Let b(l) = -13*l**2 - 6*l + 4. Let r(f) = 40*f**2 + 18*f - 12. Let c(i) = -10*b(i) - 3*r(i). Let c(p) = 0. Calculate p.
-1, 2/5
Let v(p) be the third derivative of -p**9/60480 - p**8/20160 - p**5/10 + 7*p**2. Let s(k) be the third derivative of v(k). Suppose s(a) = 0. What is a?
-1, 0
Let v = 2083/12570 + 2/2095. Factor v*b**3 + 0 + 1/3*b**2 - 1/2*b.
b*(b - 1)*(b + 3)/6
Factor -2/3*a**4 + 0*a + 0 + 2/3*a**3 + 4/3*a**2.
-2*a**2*(a - 2)*(a + 1)/3
Suppose -24 - 24 = -12*p. Let m(x) be the third derivative of -1/240*x**6 + 0*x + 0*x**3 + 0*x**p + 0*x**5 - x**2 + 1/168*x**8 + 0 + 1/140*x**7. Factor m(n).
n**3*(n + 1)*(4*n - 1)/2
Let i = 2 + 2. Let r be (1/(-3))/(6/(-20)). Factor 0 - 2/3*s**i - 2/9*s - 14/9*s**3 - r*s**2.
-2*s*(s + 1)**2*(3*s + 1)/9
Suppose -140 = -u + 2*u - 4*x, -x + 635 = -4*u. Let g = u + 1122/7. Solve 0*l**4 + 0 + 4/7*l**3 - g*l**5 + 0*l**2 - 2/7*l = 0.
-1, 0, 1
Let s(b) be the third derivative of b**6/200 - b**4/10 - 9*b**2. Let s(d) = 0. Calculate d.
-2, 0, 2
Let l(m) be the third derivative of m**8/112 - m**7/70 - m**6/40 + m**5/20 - 3*m**2. Suppose l(p) = 0. What is p?
-1, 0, 1
Let b(z) = -5*z**5 + 4*z**4 + z**3 + 6*z**2 - 6*z - 6. Let a(l) = -l**5 + l**4 + l**2 - l - 1. Let i(k) = -6*a(k) + b(k). Suppose i(g) = 0. What is g?
0, 1
Let r(v) = 5*v**3 + 25*v**2 + 20*v + 5. Let z(k) = 5*k**3 + 26*k**2 + 21*k + 6. Let a(u) = 6*r(u) - 5*z(u). Factor a(s).
5*s*(s + 1)*(s + 3)
Let d(s) be the second derivative of -s**4/8 + s**3/2 - 3*s**2/4 - 14*s. Factor d(p).
-3*(p - 1)**2/2
Let m = -1 - -4. Factor 2*s**3 - 7*s**3 + s**m + 3*s**3 + s**2.
-s**2*(s - 1)
Let t(y) = -8*y**4 - 10*y**3 - 3*y**2 + 3. Let i(h) = 7*h**4 + 10*h**3 + 2*h**2 - 2. Let o(d) = 3*i(d) + 2*t(d). Let o(w) = 0. What is w?
-2, 0
Let w(m) be the second derivative of -m**7/14 - 9*m**6/40 - 9*m**5/40 - m**4/16 - 4*m - 12. Factor w(z).
-3*z**2*(z + 1)**2*(4*z + 1)/4
Let g(i) be the third derivative of i**7/630 + i**6/120 + i**5/60 + i**4/72 - 4*i**2. Factor g(r).
r*(r + 1)**3/3
Let u(q) be the third derivative of q**6/300 - q**5/15 + 5*q**4/12 - 21*q**2. Supp