9/3780 - h**8/1344 + h**7/2520 + h**4/6 + 6*h**2. Let f(g) be the second derivative of m(g). Factor f(r).
r**2*(r - 1)*(4*r - 1)
Suppose 2*y + 2*y = -3*m + 34, 0 = -3*m - 2*y + 26. Let g be 1*1/(-1)*-2. Solve l**5 - 2*l**g + 2*l**4 + 5*l + l**5 - m*l**3 - l = 0.
-2, -1, 0, 1
Let r(d) be the third derivative of -d**7/10 + 3*d**6/10 + d**5/5 - 21*d**2. Factor r(c).
-3*c**2*(c - 2)*(7*c + 2)
Suppose -p = -3*k - 31, 12 = 2*p + 5*k - k. Factor 0 - 15*n**3 - n**2 + p*n**3 - n + 1.
(n - 1)**2*(n + 1)
Let b(s) = -s - 11. Let z be b(-7). Let g(o) = -o**2 - 8*o - 7. Let d(m) = -m**2 - 7*m - 6. Let l(w) = z*g(w) + 5*d(w). Determine a, given that l(a) = 0.
-2, -1
Let b(l) be the second derivative of -7*l**6/6 - 9*l**5/4 - 5*l**4/6 - l. Factor b(r).
-5*r**2*(r + 1)*(7*r + 2)
Solve 1/5*n + 6/5*n**3 + 1/5*n**5 - 4/5*n**4 + 0 - 4/5*n**2 = 0.
0, 1
Let p(k) = 24*k**2 - 27*k - 12. Let b(j) = -j**2 + j + 1. Let i(v) = 15*b(v) + p(v). Determine x so that i(x) = 0.
1/3, 1
Let -28*f + 4 - f**2 + 0*f**2 + 25*f = 0. Calculate f.
-4, 1
Let q be 12/9*(-12)/(-8). Solve 2*s**3 + 2*s**4 - 9*s + 18*s - 11*s - 2*s**q = 0 for s.
-1, 0, 1
Let f = -26 + 29. Solve 1/2*g - 1/2*g**2 + 1/2 - 1/2*g**f = 0 for g.
-1, 1
Let z(w) be the second derivative of -3*w**6/40 - 3*w**5/40 + w**4/4 + 2*w**3/3 - 10*w. Let p(j) be the second derivative of z(j). Factor p(i).
-3*(3*i - 1)*(3*i + 2)
Let o(y) = -3*y**3 - 13*y**2 - 6*y + 2. Let v(r) = -r + 1. Let i(p) = o(p) - 2*v(p). Determine c so that i(c) = 0.
-4, -1/3, 0
Let u be 3/(-6) + (20/(-8) - -3). Factor 0*m**3 - 2/3*m**2 + 4/9*m + 2/9*m**4 + u.
2*m*(m - 1)**2*(m + 2)/9
Let l(f) = 32*f**3 + 199*f**2 + 375*f + 144. Let u(z) = -8*z**3 - 50*z**2 - 94*z - 36. Let s(y) = 2*l(y) + 9*u(y). Factor s(t).
-4*(t + 3)**2*(2*t + 1)
Factor 8/7*j**2 + 20/7*j**5 + 48/7*j**4 + 36/7*j**3 + 0 + 0*j.
4*j**2*(j + 1)**2*(5*j + 2)/7
Let y(v) = -3*v**2 + v - 3. Let b(l) = -2*l**2 - 1. Let p(g) = 5*b(g) - 3*y(g). Suppose p(n) = 0. What is n?
-4, 1
Suppose 0 = -3*d + 3*x + 6 + 6, 0 = 2*x + 4. Let h(j) be the first derivative of 1/26*j**4 + 2/13*j - 4 - 1/13*j**d - 2/39*j**3. Solve h(t) = 0.
-1, 1
Let b = 15 - 3. Let c(y) = 10*y**5 + 16*y**4 - 14*y**3 - 12*y + 12. Let d(r) = r**5 + r**4 - r**3 - r + 1. Let x(t) = b*d(t) - c(t). Factor x(s).
2*s**3*(s - 1)**2
Suppose 3*c - 2*c - 5 = 0. Suppose -5*b + 30 = -c*a, -3*b + 8 = -b - a. Let -2/3*s**b + 8/9 + 0*s - 2/9*s**3 = 0. Calculate s.
-2, 1
Let d be (16/10)/((-4)/(-10)). Factor 11*x + 4*x**2 + x - d*x.
4*x*(x + 2)
Let i(f) be the second derivative of -f**6/160 + 3*f**5/80 - f**3/2 - f**2 - 6*f. Let o(k) be the first derivative of i(k). Suppose o(x) = 0. What is x?
-1, 2
Let k(s) be the third derivative of s**5/510 - 7*s**4/34 + 147*s**3/17 + 2*s**2. Determine p so that k(p) = 0.
21
Let d(a) be the second derivative of 0*a**2 + 2*a + a**3 + 1/4*a**4 + 0. Factor d(w).
3*w*(w + 2)
Determine w so that 10*w**3 - 10/3*w**5 + 4/3*w**4 + 8/3*w**2 - 8/3*w + 0 = 0.
-1, 0, 2/5, 2
Let d be ((-24)/10)/(40/(-20)). Determine n, given that 0 - 3/5*n**4 + 9/5*n**2 + 0*n**3 - d*n = 0.
-2, 0, 1
Let g(l) be the first derivative of -2/5*l**5 - 1/2*l**4 + 1 + 0*l + 0*l**3 + 0*l**2. Factor g(z).
-2*z**3*(z + 1)
Let a(y) be the first derivative of -y**6/40 + y**5/90 + y**2/2 + 4. Let d(m) be the second derivative of a(m). Solve d(l) = 0 for l.
0, 2/9
Let g(v) = 4*v**2 + 5*v + 1. Suppose 4 = -2*p + 3*p. Suppose -8 = -4*q - p. Let y(r) = -r**2 - r. Let d(k) = q*g(k) + 3*y(k). Factor d(t).
(t + 1)**2
Let o = 3 + 6. Let y = 11 - o. Suppose 0*z**y + 2/7*z + 0 - 2/7*z**3 = 0. Calculate z.
-1, 0, 1
Let l(f) = 5*f. Let c be l(1). Let r(h) = -4*h**2 + 4*h - 7. Let s(x) = 5*x**2 - 5*x + 8. Let g(v) = c*s(v) + 6*r(v). Factor g(i).
(i - 2)*(i + 1)
Let s(y) be the third derivative of 0*y**4 + 1/105*y**7 + 2/15*y**5 + 0 + 0*y**3 - 1/15*y**6 - y**2 + 0*y. Let s(x) = 0. What is x?
0, 2
Let l(z) be the second derivative of 0 + 0*z**5 - 3*z - 1/24*z**4 + 1/60*z**6 + 0*z**3 + 0*z**2. Suppose l(m) = 0. What is m?
-1, 0, 1
Let 0 - 2 + 12*j**2 + 3*j - 10 - 3*j**3 = 0. What is j?
-1, 1, 4
Let n(t) = 7*t**2 + 7*t - 4. Let a(o) = 11*o**2 + 11*o - 6. Let m(s) = 5*a(s) - 8*n(s). Let w be m(-2). Solve 4/3*u + w*u**3 + 0 - 2/3*u**4 + 2*u**2 = 0 for u.
-1, 0, 2
Let n(w) be the second derivative of w**6/60 + 3*w**5/40 + w**4/8 - w**3/2 - 5*w. Let s(q) be the second derivative of n(q). Determine m so that s(m) = 0.
-1, -1/2
Factor -8/3 + 1/2*z**3 - 5/3*z + 23/6*z**2.
(z - 1)*(z + 8)*(3*z + 2)/6
Factor -3/4*f**3 - 12*f - 21/4*f**2 - 9.
-3*(f + 2)**2*(f + 3)/4
Let q(n) be the third derivative of 0 + 0*n**3 + 0*n**5 + 0*n - 1/120*n**6 + 0*n**4 + n**2. Let q(z) = 0. What is z?
0
Let i = 1753/390 - 58/13. Let w(t) be the second derivative of i*t**4 + 1/15*t**3 + 0*t**2 + 2*t + 0. Let w(u) = 0. Calculate u.
-1, 0
Let h(z) = z**2 + 4*z + 2. Let w be h(-4). Suppose -w*t + 8 = 2*t. Find o such that 2*o**t + 15*o + 6 - 2*o**2 - 21*o**2 = 0.
-2/7, 1
Suppose -5*c + 3*h - 40 = -5, h = 5. Let v be 4/(-6)*14/c. What is f in 5/3*f**3 - v*f**5 + 3*f**2 + 2/3*f - 3*f**4 + 0 = 0?
-1, -2/7, 0, 1
Let s = 4/37 - -62/111. Suppose -2/3*v**2 + s*v + 4/3 = 0. What is v?
-1, 2
Let o be 0 - (-3 - -1) - -2. Suppose o = 2*n - n. What is k in 4 - 3 - 2*k**2 - 3 + n*k = 0?
1
Let x = 8 - 8. Factor 1/3*w**3 + x + 2/3*w - w**2.
w*(w - 2)*(w - 1)/3
Let h(u) be the third derivative of -1/48*u**4 + 0 + 6*u**2 + 0*u + 1/60*u**5 + 1/240*u**6 - 1/6*u**3. Factor h(q).
(q - 1)*(q + 1)*(q + 2)/2
Let n(t) = -2*t**2 + 14*t. Let u be n(7). Let r(v) be the second derivative of 1/4*v**4 + u + 1/3*v**3 - 3*v - 1/2*v**2. Find w, given that r(w) = 0.
-1, 1/3
Let l(i) = i + 4. Let u be l(0). Determine f so that 2*f**2 - f**u + 0*f**2 - f**3 - f**5 - f + 3*f**3 - 1 = 0.
-1, 1
Let c(g) be the third derivative of 0*g**3 + 1/15*g**5 + 0*g + 1/12*g**4 + 0 + 1/60*g**6 - 4*g**2. Factor c(b).
2*b*(b + 1)**2
Let f(j) be the first derivative of -2*j**5/115 + 3*j**4/46 - 2*j**3/69 - 3*j**2/23 + 4*j/23 - 13. Solve f(c) = 0.
-1, 1, 2
Let i be -2 - (8 + (-3 - -1)). Let s be (i/2)/(-2 - 0). Factor d + 1/2*d**s + 0 - 1/2*d**4 - d**3.
-d*(d - 1)*(d + 1)*(d + 2)/2
Let i(c) be the first derivative of c**9/3024 - c**8/560 + c**7/280 - c**6/360 - 5*c**3/3 + 6. Let g(w) be the third derivative of i(w). Solve g(z) = 0.
0, 1
Factor -8*s**4 + 2*s**3 - 6*s**3 - 2*s**5 + 7*s**5 + 8*s**2 - s**5.
4*s**2*(s - 2)*(s - 1)*(s + 1)
Let v = 23 - 13. Let y = -5 + v. Find c such that -y*c - 2 - c**3 - 4*c**2 - 2*c**2 + 2*c**2 = 0.
-2, -1
Suppose 15 = 4*c - 5. Suppose -20 = c*j, -5*n + j + 14 + 0 = 0. Let -2/3*l - 2/3*l**n + 4/3 = 0. Calculate l.
-2, 1
Suppose -4*t + 5 + 31 = 0. Suppose -4*w + t + 3 = 0. Factor -2 + 13/2*f**2 - 5*f - 7/4*f**w.
-(f - 2)**2*(7*f + 2)/4
Let c(k) be the third derivative of 0 + 1/27*k**3 - 1/270*k**5 + 1/540*k**6 + 0*k + 3*k**2 - 1/108*k**4. Factor c(n).
2*(n - 1)**2*(n + 1)/9
Suppose 6*q + 4*w = 2*q - 64, 8 = 4*w. Let i be 41/35 + q/30. Find f such that 2/7*f**2 + 2/7 + i*f = 0.
-1
Suppose -4*x - 24 = -12*x. Suppose -2*d + 0 + 4 = 0. Factor -t**3 + t**3 - d*t**x.
-2*t**3
Let p(v) = -5*v**3 + 18*v**2 + 11*v - 35. Let c(i) = 2*i**3 - 6*i**2 - 4*i + 12. Let d(u) = 11*c(u) + 4*p(u). Determine h, given that d(h) = 0.
-2, 1
Let y(j) be the third derivative of -19/30*j**5 - 4/21*j**8 + 1/6*j**4 + 0*j + 0 - 32/105*j**7 + 9/10*j**6 - 2*j**2 + 0*j**3. Let y(q) = 0. Calculate q.
-2, 0, 1/4, 1/2
Suppose 4*i - i = 6. Let s be i*(-4)/(-32)*3. Suppose 3/2*x**3 + 0 - 9/4*x**5 + 3*x**2 - 3*x**4 + s*x = 0. What is x?
-1, -1/3, 0, 1
Suppose 0 = 2*t - t - 4. Let d(n) be the first derivative of 2/5*n + 3/10*n**2 - 4 - 1/10*n**t - 1/5*n**3. Factor d(b).
-(b - 1)*(b + 2)*(2*b + 1)/5
Factor 32/3*g - 80/3*g**2 - 28/3*g**4 + 24*g**3 + 0 + 4/3*g**5.
4*g*(g - 2)**3*(g - 1)/3
Let w(y) = y**5 - y**4 - y**3 + y**2. Let g(i) = 6*i**5 - 10*i**4 - 2*i**3 + 10*i**2 - 4*i. Let l(u) = -g(u) + 2*w(u). Solve l(q) = 0.
-1, 0, 1
Let f = -104/25 - -1187/75. Let p = 37/3 - f. Let 2/3 - 4/3*m**2 - 2/3*m**5 + 2/3*m**4 - p*m + 4/3*m**3 = 0. What is m?
-1, 1
Let k(u) be the second derivative of u**7/3465 - u**6/3960 - u**5/220 + 2*u**4/3 - 3*u. Let w(l) be the third derivative of k(l). Let w(x) = 0. What is x?
-3/4, 1
Let a = 8543/7 - 1219. Determine p so that -a*p**2 + 0 - 