1/30*d**6. Factor f(v).
v**3*(v - 2)
Let t(b) be the first derivative of b**4/12 - 7*b**3/9 + 5*b**2/2 - 3*b - 2. Factor t(f).
(f - 3)**2*(f - 1)/3
Let b(v) = v**3 - 3*v**2 + 4*v - 10. Let z be b(3). Factor 16/9*c**z + 10/9*c**3 + 2/9*c - 4/9.
2*(c + 1)**2*(5*c - 2)/9
Let i(o) be the third derivative of 1/15*o**5 + 2*o**2 + 0 + 2/3*o**3 + 0*o - 1/3*o**4. Factor i(d).
4*(d - 1)**2
Let w be (-2)/(-66)*54/36. Let s(f) be the first derivative of 0*f**2 + 0*f**3 + 1 + 0*f - w*f**4. Factor s(k).
-2*k**3/11
Let t(v) be the third derivative of 0*v + 0*v**3 - 1/120*v**6 + 0 + 0*v**5 + 1/24*v**4 + 3*v**2. Factor t(n).
-n*(n - 1)*(n + 1)
Let v(m) be the second derivative of m**9/5040 + m**8/1200 + m**7/840 + m**6/1800 + m**3/2 - m. Let h(f) be the second derivative of v(f). Factor h(r).
r**2*(r + 1)**2*(3*r + 1)/5
Let g(a) = -a + 7. Let k be g(7). Let x(h) be the second derivative of 1/20*h**5 - 1/60*h**6 + 0 + 0*h**3 - 2*h + k*h**2 - 1/24*h**4. Factor x(m).
-m**2*(m - 1)**2/2
Let c(d) be the second derivative of d**5/90 + d**4/54 - d**3/27 - d**2/9 + 3*d. Suppose c(z) = 0. What is z?
-1, 1
Let v = 83/70 - 9/10. Solve 0*s**2 + 2/7*s**4 + 0 + v*s**3 + 0*s = 0.
-1, 0
Let g(n) be the first derivative of n**3 - 13. Factor g(f).
3*f**2
Let 4 - 2*s + 1/4*s**2 = 0. Calculate s.
4
Let b(j) be the second derivative of j**4/6 - 8*j**3/3 + 12*j**2 + 40*j. Find u, given that b(u) = 0.
2, 6
Let 0 - 2/7*w**3 + 0*w + 2/7*w**2 = 0. What is w?
0, 1
Find w such that 2/7*w**2 - 8/7*w - 10/7 = 0.
-1, 5
Let a(r) = -r**3 + 15*r**2 - 33*r. Let u(v) = -v**3 + 14*v**2 - 34*v. Let n(w) = 2*a(w) - 3*u(w). Let n(k) = 0. What is k?
0, 6
Let s be 20/(-75)*-5 - 1. Let g(n) be the first derivative of 5/6*n**4 + 2 + 5/6*n**2 - 10/9*n**3 - s*n**5 + 1/18*n**6 - 1/3*n. Factor g(i).
(i - 1)**5/3
Let y(n) = -n**3 + 35*n**2 + 75*n - 33. Let o be y(37). Let b(p) be the third derivative of -3/2*p**3 + 1/20*p**5 + 0*p + 2*p**2 - 1/4*p**o + 0. Solve b(i) = 0.
-1, 3
Let g(v) be the third derivative of 1/50*v**5 + 0*v - 4/15*v**3 + 0 + 5*v**2 + 1/525*v**7 - 1/15*v**4 + 1/75*v**6. Determine x so that g(x) = 0.
-2, -1, 1
Let u(l) be the first derivative of l**7/147 - l**6/105 + l + 1. Let j(f) be the first derivative of u(f). Solve j(b) = 0.
0, 1
Let i(h) = -h**5. Let d(v) = 51*v**5 - 21*v**4 - 73*v**3 + 17*v**2 + 24*v + 4. Let k(c) = -d(c) - 2*i(c). Determine j, given that k(j) = 0.
-1, -2/7, 1
Let y(d) = -2*d**2 - 2*d - 1. Let o(z) = 3*z**2 + 3*z. Let x(v) = 5*o(v) + 6*y(v). Factor x(i).
3*(i - 1)*(i + 2)
Find a such that 2/3*a**2 + 0 + 0*a = 0.
0
Let c = 174 + -172. Let m(p) be the third derivative of 0*p**4 + 0*p - 1/180*p**5 + 0*p**3 + 0 + c*p**2. Determine w, given that m(w) = 0.
0
Let l(j) = 8*j**3 - j**2 + 1. Let h be l(1). Suppose 3*k = 2*a + h, -3*a + 8 - 3 = 4*k. Let 2*u + 3*u**2 - k - 2*u - 5*u**2 + 4*u = 0. What is u?
1
Let c(y) = 64*y**3 + 32*y**2 + 9*y - 5. Let r(f) = -32*f**3 - 16*f**2 - 4*f + 2. Let j(o) = 2*c(o) + 5*r(o). Let j(v) = 0. What is v?
-1/4, 0
Let t(g) be the first derivative of g**4 + 8*g**3/3 - 2*g**2 - 8*g + 12. Factor t(s).
4*(s - 1)*(s + 1)*(s + 2)
Let n(t) be the second derivative of 8*t**6/75 + 4*t**5/25 + t**4/15 + 14*t. Determine p so that n(p) = 0.
-1/2, 0
Factor 15*b**3 + 3*b**2 - 9*b**4 + b**4 + 10*b**4 + 10*b**4.
3*b**2*(b + 1)*(4*b + 1)
Suppose 3*z - 19 = -3*a - 7, -2 = -z - 2*a. Let r = -17 + 21. Factor 6*d**2 + 3*d - 5*d + 11*d**4 - 9*d**r - z*d**3.
2*d*(d - 1)**3
Let b(s) = s**2 + 4*s + 4. Let m be b(-2). Let a(f) be the second derivative of 0 + 0*f**3 - 3*f + 1/50*f**5 + 0*f**2 + m*f**4. Solve a(k) = 0.
0
Solve 11*p**2 + 14*p**3 - 10*p**3 - 3*p**2 = 0.
-2, 0
Let z(s) = -s**5 - 4*s**4 + 4*s**3 + 6*s**2 - 3*s - 2. Let x(l) = l**4 - l**2. Let p(f) = -4*x(f) - z(f). Factor p(d).
(d - 2)*(d - 1)*(d + 1)**3
Suppose -2*s + 21 = 17. Let b(g) be the third derivative of -3*g**s + 1/180*g**5 + 0 + 1/18*g**3 + 0*g + 1/36*g**4. Factor b(p).
(p + 1)**2/3
Factor -6*u**2 + 28*u**4 - 25*u**2 - 20*u**3 + 17*u + 3*u - 5*u**2 + 8.
4*(u - 1)**2*(u + 1)*(7*u + 2)
Suppose 3*b - g - 34 = 0, 5*b - 5*g - 36 - 14 = 0. Let -8*x**2 + b*x**3 + 3*x - 5*x**5 - 19*x + 2*x**4 + 3*x**5 = 0. What is x?
-2, -1, 0, 2
Suppose -2*h + 4*h = -3*g + 12, -h + 9 = 3*g. Let b be (2 + 0)/(-6)*-3. Solve -p**2 - 2*p**4 - g*p**5 + 3*p**2 - b + 2*p**3 + 1 = 0 for p.
-1, 0, 1
Let g(j) be the second derivative of -j**4/12 + j**3 - 9*j**2/2 + 18*j. Factor g(o).
-(o - 3)**2
Let r(i) = 4*i**4 + 8*i**3 + 8*i**2 + 2*i - 2. Let x(a) = 17*a**4 + 32*a**3 + 33*a**2 + 9*a - 9. Let g(p) = 18*r(p) - 4*x(p). Solve g(f) = 0 for f.
-3, -1, 0
Let z(b) = 4*b**5 - b**4 - 8*b**3 - 8*b**2 + 9*b + 9. Let a(s) = 2*s**5 - 4*s**3 - 4*s**2 + 4*s + 4. Let w(j) = 5*a(j) - 2*z(j). Let w(q) = 0. Calculate q.
-1, 1
Suppose -2*s + 4*s = 8. Let n(h) be the second derivative of 0*h**s - 1/80*h**5 - 3*h + 0*h**3 - 1/42*h**7 + 0 + 0*h**2 + 1/24*h**6. Factor n(d).
-d**3*(d - 1)*(4*d - 1)/4
Find z such that -2/11*z**3 - 3456/11*z + 27648/11 + 144/11*z**2 = 0.
24
Let v(x) = -x**2 + 6*x + 10. Let t be v(7). Suppose 2*m - t = -3*m - 4*r, 0 = 5*m - 4*r - 27. Find z such that -5/4*z**4 - 3*z + 3*z**m + 1/4*z**2 + 1 = 0.
-1, 2/5, 1, 2
Let j(s) be the second derivative of s**5/50 - s**4/60 - s**3/15 + s**2/10 + 12*s. Factor j(a).
(a - 1)*(a + 1)*(2*a - 1)/5
Let x(m) be the second derivative of m**5/120 - m**4/8 + 3*m**3/4 - m**2 - 2*m. Let n(f) be the first derivative of x(f). Suppose n(j) = 0. Calculate j.
3
Let v(n) be the third derivative of -n**8/40320 + n**7/20160 - n**5/60 - 2*n**2. Let x(a) be the third derivative of v(a). Let x(s) = 0. Calculate s.
0, 1/2
Factor -3/5*w**3 - 8/5*w**2 - 2/5 - 7/5*w.
-(w + 1)**2*(3*w + 2)/5
Let c(p) be the second derivative of p**7/147 - p**6/15 + 19*p**5/70 - 25*p**4/42 + 16*p**3/21 - 4*p**2/7 - p. Determine l, given that c(l) = 0.
1, 2
Let i(g) be the second derivative of 4*g**4/3 + 4*g**3/3 + g**2/2 + 27*g - 2. Determine n, given that i(n) = 0.
-1/4
Let w(j) be the first derivative of -j**4/10 + 4*j**3/5 - 12*j**2/5 + 16*j/5 + 5. Let w(h) = 0. Calculate h.
2
Let t(r) be the first derivative of r**6/1980 - r**5/330 + r**4/132 - r**3 + 4. Let p(n) be the third derivative of t(n). Factor p(b).
2*(b - 1)**2/11
Let d(j) be the first derivative of -j**5/10 - j**4/8 + j**3/3 + 3. What is q in d(q) = 0?
-2, 0, 1
Let i(w) be the second derivative of w**6/480 - w**5/240 - w**4/48 + 2*w**2 - w. Let n(a) be the first derivative of i(a). Factor n(d).
d*(d - 2)*(d + 1)/4
Let n(s) = s**2 + 12*s - 3. Let y be n(-12). Let u be (-24)/14 - (y + 1). Factor 0*h - 2/7*h**3 - 10/7*h**4 + 0 + u*h**2 - 6/7*h**5.
-2*h**2*(h + 1)**2*(3*h - 1)/7
Let l be 12/(-9)*42/(-4). Let t be -2 - (l/(-10) + -1). Determine q, given that -2/5 + t*q**2 + 0*q = 0.
-1, 1
Let o = 23/21 + -1. Let h(x) be the first derivative of -2 + 0*x - 1/7*x**2 + o*x**3. Factor h(l).
2*l*(l - 1)/7
Let l(s) be the third derivative of -s**5/20 - s**4/8 - 6*s**2. Let l(d) = 0. Calculate d.
-1, 0
Let x be 48/(-84)*(-14)/3. Let u be ((-2)/(-3) + -1)*-5. Factor -1/3*k**3 - x*k + u*k**2 + 4/3.
-(k - 2)**2*(k - 1)/3
Let g = -268059/161 - -1665. Let p = 1234/1449 + g. Suppose 10/9*w + 2/9*w**3 - p*w**2 - 4/9 = 0. Calculate w.
1, 2
Let 0 - 3/7*a - 3/7*a**2 = 0. What is a?
-1, 0
Let k = -738/5 - -148. Determine g so that 0 - 4/5*g - k*g**2 = 0.
-2, 0
Let o(b) be the third derivative of b**5/12 - b**4/12 + b**3/2 - 2*b**2. Let h(y) = -4*y**2 + 2*y - 2. Let q(v) = 3*h(v) + 2*o(v). Solve q(n) = 0.
0, 1
Let s(t) = 17*t**2 - t - 8. Suppose -4*f - h + 24 = -0*f, 5*f = 3*h + 13. Let d(n) = -11*n**2 + n + 5. Let o(x) = f*s(x) + 8*d(x). Suppose o(b) = 0. What is b?
0, 1
Let z be (3 - 1) + 0 - 1. Let n = 2 + z. Factor -i**4 - i**2 - 4*i**n - 3*i**3 - 5*i**4 - 2*i**4 + 16*i**5.
i**2*(i - 1)*(4*i + 1)**2
Let x(m) be the third derivative of m**8/168 - m**6/30 + m**4/12 - 3*m**2. Factor x(b).
2*b*(b - 1)**2*(b + 1)**2
Suppose -4*p = -29 - 51. Let h be 16/p - (-4)/(-10). What is x in h*x + 0 - 2/5*x**2 = 0?
0, 1
Let f(n) = -5*n**4 + n**3 + 7*n**2 - 5*n + 2. Let r(o) = -o**4 + o**2 - o + 1. Let q(d) = 5*f(d) - 20*r(d). Let q(p) = 0. What is p?
-1, 1, 2
Let l = -22 + 37. Suppose -l = -4*x - x. Solve 4*v - v + 0*v - 3*v**3 + 3*v**2 - x*v**4 = 0 for v.
-1, 0, 1
Let c(k) = -k**2 - 9*k - 20. Le