/630 + l**5/420 - l**4/42 + 2*l**3/3 - 5. Let b(j) be the third derivative of q(j). Factor b(f).
-2*(f - 2)*(f - 1)*(f + 1)/7
Let p(q) = -2*q**5 + 5*q**4 + 3*q**3 - 3*q. Let a(h) = -2*h**5 + 4*h**4 + 2*h**3 - 2*h. Let d(o) = 3*a(o) - 2*p(o). Factor d(n).
-2*n**4*(n - 1)
Suppose 4*g - 4*a + 28 = 0, 5*g = 4*a - 3*a - 43. Let w = -5 - g. Factor -2*h - h + h + w*h**3 - 2*h**3.
2*h*(h - 1)*(h + 1)
Let t = -2 + 5. Let c be (1/(-6))/(t/(-4)). Factor 4/9 + c*r**2 - 2/3*r.
2*(r - 2)*(r - 1)/9
Factor -3/5*f**3 + 3/5*f**4 - 9/5*f - 3*f**2 + 0.
3*f*(f - 3)*(f + 1)**2/5
Let t(s) be the first derivative of s**4/12 - s**3/6 + s + 2. Let m(p) be the first derivative of t(p). Solve m(z) = 0.
0, 1
Let w(j) be the third derivative of 0*j - 1/42*j**4 - 1/21*j**3 + 0 - 4*j**2 - 1/210*j**5. Let w(u) = 0. Calculate u.
-1
Factor -45/4*h**2 - 3/4*h**3 - 147/4 - 189/4*h.
-3*(h + 1)*(h + 7)**2/4
Let x be ((-1)/(-2))/(1/14). Factor -2*q**2 + 4*q + x*q + 4*q**2 + 8 - 3*q.
2*(q + 2)**2
Let g be -3 + 0 - 6/(-2). Let y(x) be the second derivative of -1/5*x**2 + 1/60*x**4 + g - 3*x - 1/30*x**3. Let y(a) = 0. Calculate a.
-1, 2
Let 0 + 14/3*k**3 + 0*k + 8/3*k**4 - 4/3*k**2 = 0. What is k?
-2, 0, 1/4
Suppose 9 = -3*m + 21. What is j in -3*j**m + 7*j**2 + 2*j**2 + 3*j**3 + 3*j**5 + 0*j - 6*j - 6*j**4 = 0?
-1, 0, 1, 2
Let h = -4 - -6. Factor -h*x - 3*x - 24*x**2 - 10*x**3 - x - 2*x.
-2*x*(x + 2)*(5*x + 2)
Let x(z) be the second derivative of -z**8/10080 + z**7/1890 + z**6/1080 - z**5/90 - z**4/12 - 5*z. Let c(y) be the third derivative of x(y). Factor c(f).
-2*(f - 2)*(f - 1)*(f + 1)/3
Let t(w) = w**3 - 3*w**2 + 4. Let k be t(2). Factor 1/2*d**2 - 1/4*d - 1/4*d**3 + k.
-d*(d - 1)**2/4
Let x(g) be the second derivative of g**8/6720 - g**7/1120 + g**6/720 + g**3/3 - 4*g. Let d(p) be the second derivative of x(p). Let d(v) = 0. What is v?
0, 1, 2
Let x(s) be the first derivative of 3*s**7/7 - 4*s**6/5 - s**5/5 + 2*s**4/3 + s**3/3 + 4*s - 2. Let a(j) be the first derivative of x(j). Factor a(m).
2*m*(m - 1)**2*(3*m + 1)**2
Let g(i) = i**2 - 2*i + 2. Suppose 2*u + 10 = 4*u. Let c = -6 - -9. Let t(k) = -k**2 + k - 1. Let n(a) = c*g(a) + u*t(a). Factor n(v).
-(v + 1)*(2*v - 1)
Let b(u) = u - 11. Let s be b(14). Determine k, given that -9 + 0*k + 6*k**2 + 1/3*k**4 - 8/3*k**s = 0.
-1, 3
Let i(g) be the second derivative of 0*g**5 + 0 + g + 1/45*g**6 + 0*g**3 + 1/3*g**2 - 1/9*g**4. Solve i(a) = 0 for a.
-1, 1
Let z = -411/4 + 103. Suppose 1/4*t + 0 - 1/4*t**2 + 1/4*t**4 - z*t**3 = 0. Calculate t.
-1, 0, 1
Let v(t) be the first derivative of t**4/21 + 4*t**3/21 + 2*t**2/7 - 3*t - 7. Let k(o) be the first derivative of v(o). Factor k(u).
4*(u + 1)**2/7
Let y = 20 + -30. Let s(p) = p**2 + 10*p. Let t be s(y). Suppose 2/5*u**3 + t + 2/5*u**2 - 2/5*u**4 - 2/5*u = 0. Calculate u.
-1, 0, 1
Let z(w) be the second derivative of w**5/20 - w**4/12 - w**3/6 + w**2/2 + 36*w. Find r, given that z(r) = 0.
-1, 1
Let z(i) = i**4 - i - 1. Let d(y) = -7*y**4 + 3*y**3 - y**2 + 5*y + 8. Let h(w) = -3*d(w) - 24*z(w). Find m, given that h(m) = 0.
-3, -1, 0, 1
Let k(a) = a**3 + 7*a**2 - 8*a + 3. Let o be k(-8). Let l be (24/15 + -1)*5. Factor -36*x + 9 + 39*x**2 - 18*x**o + l + 3*x**4 + 2 - 2.
3*(x - 2)**2*(x - 1)**2
Let d(b) be the third derivative of -b**6/360 - b**5/60 - b**4/24 + b**3/6 - b**2. Let y(q) be the first derivative of d(q). Factor y(v).
-(v + 1)**2
Let w be ((-15)/28)/(87/(-580)) + -1. Determine n, given that 27/7 + w*n + 3/7*n**2 = 0.
-3
Let s = 125 + -120. Let b(r) be the second derivative of -4*r + 1/20*r**s + 0 - 1/2*r**2 - 1/6*r**3 + 1/12*r**4. Factor b(v).
(v - 1)*(v + 1)**2
Let v(t) be the third derivative of -t**5/120 + t**4/12 - t**3/3 - 12*t**2. Let v(r) = 0. Calculate r.
2
Suppose -a + 5 = -25. Let l = 61/2 - a. Find w, given that 0 + 1/2*w**2 + w - l*w**3 = 0.
-1, 0, 2
Let s(i) be the third derivative of i**5/12 - 5*i**4/12 + 5*i**3/6 - 13*i**2. Factor s(y).
5*(y - 1)**2
Let v be -2 + 4 - (-2 + 0). Suppose 0 = -v*h + 24 - 4. Factor -2/5*m**4 + 2/5*m**3 - 2/5*m**h + 2/5*m**2 + 0*m + 0.
-2*m**2*(m - 1)*(m + 1)**2/5
Let s(n) be the first derivative of 5*n**2 - 2*n - 1 - 8/3*n**3. What is x in s(x) = 0?
1/4, 1
Let z(o) be the first derivative of -6*o - 3/4*o**4 - 3/5*o**5 + 3*o**3 - 3 + 3/2*o**2. Factor z(a).
-3*(a - 1)**2*(a + 1)*(a + 2)
Suppose 0 = 8*o - 13*o + 100. Let q = o + -18. What is l in -2/7*l**q + 4/7*l - 2/7 = 0?
1
Let k(v) be the first derivative of v**6/15 + 8*v**5/25 + 3*v**4/10 + 12. Factor k(i).
2*i**3*(i + 1)*(i + 3)/5
Let r(t) be the second derivative of 0 + 1/30*t**4 - 1/75*t**6 + 0*t**2 - 1/50*t**5 + 0*t**3 + t + 1/105*t**7. Let r(h) = 0. What is h?
-1, 0, 1
Let f(x) be the first derivative of -x**7/945 - x**6/540 + x**5/270 + x**4/108 + 5*x**2/2 + 3. Let n(o) be the second derivative of f(o). Factor n(c).
-2*c*(c - 1)*(c + 1)**2/9
Let t(w) = w**2 + 4*w + 5. Suppose 0 = -2*a - a - 12. Let i be t(a). Let 5*b**3 + 8*b**2 - 4 - 5*b + b**3 - i*b = 0. Calculate b.
-2, -1/3, 1
Let i = 304/447 - 2/149. Let 4/3 + i*v**2 + 2*v = 0. What is v?
-2, -1
Let i(k) be the third derivative of k**6/120 - k**5/60 + k**4/24 - 16*k**2. Let n be i(0). Factor -2/5*o + n + 0*o**2 + 2/5*o**3.
2*o*(o - 1)*(o + 1)/5
Let v(w) be the first derivative of w**5/15 + w**4/2 + 4*w**3/3 + 3*w**2 + 9. Let m(g) be the second derivative of v(g). Suppose m(j) = 0. Calculate j.
-2, -1
Let o = 4 - 18/5. Let 0 - 2/5*k**2 - o*k = 0. What is k?
-1, 0
Let o(s) = 15*s**4 - 36*s**3 - 21*s**2. Let x(b) = 3*b**4 - 7*b**3 - 4*b**2. Suppose 4*v = 3*a, a - 4*v + 8 = -0*a. Let r(n) = a*o(n) - 21*x(n). Factor r(u).
-3*u**3*(u - 1)
Let q(i) be the first derivative of -i**7/2940 + i**5/420 - 4*i**3/3 + 2. Let u(n) be the third derivative of q(n). Factor u(h).
-2*h*(h - 1)*(h + 1)/7
Let a = -57/20 + 18/5. Find n, given that 1 + 1/4*n**4 - a*n**2 + 1/2*n**3 - n = 0.
-2, 1
Factor -33*p**2 + 2*p**4 + 3 + 6*p**2 + 33*p**3 + 2*p + p - 14*p**4.
-3*(p - 1)**3*(4*p + 1)
Let u be (5/(-3))/(75/(-90)). Let i(y) be the first derivative of u*y + 2*y**2 + 1 + 2/3*y**3. Factor i(h).
2*(h + 1)**2
Let k(r) = -r - 4. Let d be k(-7). Solve -6*b**2 + 2*b - b - 4*b - 3*b**d = 0.
-1, 0
Let t(b) be the second derivative of b**5/40 + b**4/4 + 11*b**3/12 + 3*b**2/2 - 12*b. Factor t(n).
(n + 1)*(n + 2)*(n + 3)/2
Let r(y) be the second derivative of y**5/35 + 2*y**4/7 + 6*y**3/7 - 4*y. Factor r(f).
4*f*(f + 3)**2/7
Suppose -21 + 6 = -5*w. Let f(n) be the second derivative of 0 + 0*n**2 - w*n + 1/6*n**3 + 0*n**4 - 1/20*n**5. Factor f(m).
-m*(m - 1)*(m + 1)
Let i be (-1090)/(-327) - (2/3)/(-1). Let p(o) be the first derivative of i*o + 2/3*o**3 + 3*o**2 + 2. What is x in p(x) = 0?
-2, -1
Let i(c) = -6*c**2 + 6*c - 4. Let t(d) = -d**2 + 1. Let v(j) = i(j) - 5*t(j). Factor v(z).
-(z - 3)**2
Suppose 4*c + 36 = -0*c. Let d = 11 + c. Factor 0 + 4/5*h - 2*h**d.
-2*h*(5*h - 2)/5
Let d = -7/33 - -6/11. Let o(q) be the third derivative of 1/30*q**5 - 2*q**2 + 0*q - 1/60*q**6 + 1/12*q**4 - d*q**3 + 0. Suppose o(w) = 0. What is w?
-1, 1
Let j(i) be the third derivative of i**5/270 + i**4/54 + i**3/27 + 12*i**2. Factor j(m).
2*(m + 1)**2/9
Let c(j) be the third derivative of j**6/20 + j**5/30 + 7*j**4/24 - 5*j**3/6 + j**2. Let y(b) = -b**3 - b**2 - b + 1. Let u(x) = -c(x) - 5*y(x). Factor u(n).
-n*(n - 2)*(n - 1)
Let m(d) = -d**4 - 5*d**3 - d**2 - 3*d - 3. Let z(a) = a**4 + 4*a**3 + a**2 + 2*a + 2. Let q(w) = 2*m(w) + 3*z(w). Find v such that q(v) = 0.
-1, 0
Let m(l) = l**2 + 3*l + 1. Let r(n) = -n - 1. Let a(z) = -4*m(z) - 4*r(z). Factor a(q).
-4*q*(q + 2)
Suppose -42 + 10 = -2*v. Suppose 3*k - 3*y - 1 = 11, -4*k - 4*y + v = 0. Factor -n**3 - 3*n**k + 0*n**4 + 3 + 7*n**3 - 6*n.
-3*(n - 1)**3*(n + 1)
Let p(j) = 11*j**3 - 20*j**2 + 14*j - 6. Let q(c) = -45*c**3 + 80*c**2 - 55*c + 25. Let s(d) = -25*p(d) - 6*q(d). Suppose s(l) = 0. What is l?
0, 2
Let j = 13 + -16. Let g be 99/15 + j + -1. Factor -1/5*o + o**4 + 9/5*o**2 - 2/5 + g*o**3.
(o + 1)**3*(5*o - 2)/5
Let l = 32/21 + -6/7. Let j be (-66)/(-63) - 4/(-14). Factor 2/3 - j*h + l*h**2.
2*(h - 1)**2/3
Factor 2/7*k**2 + 1/7*k**3 + 0 - 3/7*k.
k*(k - 1)*(k + 3)/7
Let p be (4 - 1) + (-1)/1. Let m be 6/(-4) + (-10 - -15) + -3. Let -1/4*s**4 + 0 + m*s**3 + 0*s - 1/4*s**p = 0. Calculate s.
0, 1
Let 98/11 - 2/11*m**3