*(y - 1)*(y + 1)**2/5
Let b(s) be the first derivative of -s**9/3024 - s**8/560 - s**7/280 - s**6/360 - s**3 - 8. Let c(m) be the third derivative of b(m). Factor c(i).
-i**2*(i + 1)**3
Let h(y) be the second derivative of -y**5/5 + y**4/3 + 4*y. Factor h(o).
-4*o**2*(o - 1)
Let n = -410/9 - -829/18. Factor -2*k**4 + 0 - 2*k**2 + 3*k**3 + n*k + 1/2*k**5.
k*(k - 1)**4/2
Let g = -9 + 19. Suppose v + g = 5*a + 2*v, -2*a = 5*v - 4. Determine q, given that -q**2 + 2*q**3 - 3*q**2 + 2*q**a = 0.
0, 1
Let n(w) be the third derivative of 0*w**3 + 0 + 1/40*w**6 - 6*w**2 + 0*w + 0*w**4 + 1/140*w**7 + 1/40*w**5. Factor n(m).
3*m**2*(m + 1)**2/2
Suppose 0 = -0*c - 3*c + 6. Factor -6*f**c + 5*f**3 + 3*f**5 + 7*f**4 + 3*f**2 + 4*f**2.
f**2*(f + 1)**2*(3*f + 1)
Suppose 0 = 4*d + d - 10. What is l in -2*l**2 + d*l**3 + 2*l**5 + 0*l**4 + 0*l**4 + 4*l**3 - 6*l**4 = 0?
0, 1
Let x(i) be the third derivative of i**10/226800 - i**9/45360 + i**5/60 + i**2. Let t(n) be the third derivative of x(n). Factor t(c).
2*c**3*(c - 2)/3
Let k = -1 + 0. Let o be ((2 - 2)/2)/k. Factor -2*i**3 + i - 2 + 0*i**3 + o*i**3 + 2*i**2 + i.
-2*(i - 1)**2*(i + 1)
Let i(o) be the first derivative of o**3/5 + 3*o**2/5 - 6. Suppose i(c) = 0. Calculate c.
-2, 0
Let n(y) be the first derivative of -3*y**4/28 - 2*y**3/7 + 18. Factor n(l).
-3*l**2*(l + 2)/7
Let n(k) be the second derivative of 2*k + 1/20*k**5 - 1/12*k**4 + 0 - 1/6*k**3 + 1/2*k**2. Solve n(c) = 0.
-1, 1
Let u(z) be the third derivative of z**7/1680 - z**6/120 + z**5/20 + z**4/6 - 3*z**2. Let v(n) be the second derivative of u(n). Factor v(q).
3*(q - 2)**2/2
Let p(g) be the third derivative of -2*g**7/105 + g**6/30 + g**5/15 - g**4/6 - 3*g**2. Determine q, given that p(q) = 0.
-1, 0, 1
Factor -50*l + 12*l**2 + 58*l + 2*l**4 - 6*l**4.
-4*l*(l - 2)*(l + 1)**2
Suppose -32/5*l**2 - 8/5 - 192/5*l**3 + 52/5*l = 0. Calculate l.
-2/3, 1/4
Let b(n) be the first derivative of -3*n**5/25 - 3*n**4/10 + n**3/5 + 3*n**2/5 - 22. Determine f, given that b(f) = 0.
-2, -1, 0, 1
Suppose 0*m = -2*m - 6. Let t = 5 + m. Solve -2 - t*u - 2*u**2 + 0 - 2*u = 0.
-1
Let r = 2174/7 - 310. Let k be -1 - (1 + 36/(-14)). Let 0*w**2 + r*w**3 - 2/7*w**4 - k*w + 2/7 = 0. Calculate w.
-1, 1
Let t(g) = -g**2 + 5*g + 1. Let c be t(5). Let m = c + 2. Let -2*v**3 + 4*v - m*v - v - 4*v**2 = 0. What is v?
-2, 0
Let g(j) = j**3 + j**2 - j - 1. Let i = -6 - -8. Let x(y) = 0*y**4 + 2*y + y - 3*y**3 + y**4 - y**2. Let u(d) = i*g(d) + 2*x(d). Suppose u(k) = 0. Calculate k.
-1, 1
Let t(k) be the second derivative of 4*k**6/15 + k**5/10 - 2*k**4 - 11*k**3/3 - 2*k**2 + 17*k. Factor t(d).
2*(d - 2)*(d + 1)**2*(4*d + 1)
Let a(k) be the second derivative of -k**5/40 + k**4/6 + k**3/4 - 9*k**2/2 + 20*k. What is l in a(l) = 0?
-2, 3
Let y be 38/247 - (-67)/(-520). Let d(i) be the second derivative of i + 0*i**2 - 1/12*i**4 + 0 - y*i**5 - 1/12*i**3. Factor d(g).
-g*(g + 1)**2/2
Suppose 0 + 0*k**2 - 2/5*k**5 - 6/5*k**3 - 8/5*k**4 + 0*k = 0. Calculate k.
-3, -1, 0
Let s = 3 + 0. Let q = 10/57 + 842/399. Determine p so that -78/7*p**s - 72/7*p - 116/7*p**2 - q - 18/7*p**4 = 0.
-2, -1, -2/3
Let c(p) be the first derivative of -6/5*p**5 + 0*p - 3/8*p**2 + 3/8*p**6 + 9/8*p**4 + 3 + 0*p**3. Solve c(i) = 0.
-1/3, 0, 1
Let b(v) be the third derivative of v**7/525 + v**6/100 - v**5/30 - v**4/20 + 4*v**3/15 + 13*v**2. Factor b(c).
2*(c - 1)**2*(c + 1)*(c + 4)/5
Let h(s) = -10*s**4 + 2*s**3 + 10*s**2 - 2*s. Let y(i) = 10*i**4 - i**3 - 10*i**2 + i. Let f(c) = 3*h(c) + 2*y(c). Let f(o) = 0. What is o?
-1, 0, 2/5, 1
Suppose 24 = 5*g - 2*j, g - 3*j - 140 = -130. Factor 0*y**3 - y**g + 0 + 0*y**2 + 1/2*y**5 + 0*y.
y**4*(y - 2)/2
Let i(o) = -o + 9. Let w be i(3). Let y(q) be the third derivative of 1/315*q**7 - 7/36*q**4 + 2/9*q**3 + 0 - 1/36*q**w + 0*q + 1/10*q**5 + q**2. Factor y(n).
2*(n - 2)*(n - 1)**3/3
Let m(x) be the third derivative of 3*x**6/320 + x**5/32 + x**4/64 - x**3/16 - 41*x**2. What is f in m(f) = 0?
-1, 1/3
Suppose 8*s - 3*s - 10 = 0. Let m(r) be the first derivative of 1/2*r**s + 1 + r**3 + 0*r + 1/5*r**5 + 3/4*r**4. Suppose m(f) = 0. Calculate f.
-1, 0
Let 6*p + 12 - 15*p**2 + 9/2*p**3 = 0. What is p?
-2/3, 2
Let g be (-1)/(-3)*3 - -1. Let j be (2 - 3) + (5 - g). Let -2/7*k**4 + 0*k + 4/7*k**j + 0*k**3 - 2/7 = 0. What is k?
-1, 1
Let a be (-111)/(-140) - (-6)/(-8). Let s(l) be the second derivative of 0*l**2 + 2/21*l**3 - 1/42*l**4 + 0 - a*l**5 + 3*l. Suppose s(i) = 0. Calculate i.
-1, 0, 2/3
Let 2 + 57*y - 48*y - 2 + 6*y**2 - 3*y**3 = 0. What is y?
-1, 0, 3
Let m(f) be the first derivative of 1/20*f**5 + 0*f + 1/16*f**4 - 1/12*f**3 + 0*f**2 - 1/24*f**6 - 1. Factor m(p).
-p**2*(p - 1)**2*(p + 1)/4
Let d be (99/(-165))/((-1)/5). Let -4 - 3*v**2 + 6*v + 1/2*v**d = 0. What is v?
2
Suppose 4*g + 20 = 4*z + g, -3*z + 15 = 2*g. Find h, given that -7*h**4 + 7*h**3 - 4*h + 57*h**3 - 30*h**4 + 2 - 30*h**2 + z*h**4 = 0.
-1/4, 1/4, 1
Factor -125/4*d**3 - 1/4 - 15/4*d - 75/4*d**2.
-(5*d + 1)**3/4
Let d be (24/(-336))/(2/(-8)). Solve 0*f + 0 + 4/7*f**2 + d*f**3 = 0 for f.
-2, 0
Let s(w) be the third derivative of 0*w - 1/70*w**7 + w**2 - 3/20*w**5 - 3/40*w**6 + 0 - 1/8*w**4 + 0*w**3. Factor s(h).
-3*h*(h + 1)**3
Let q(y) be the first derivative of -y**8/42 - 3*y**7/35 - y**6/10 - y**5/30 - y**2/2 + 2. Let t(b) be the second derivative of q(b). Factor t(z).
-2*z**2*(z + 1)**2*(4*z + 1)
Let c(g) be the third derivative of g**7/280 - g**5/40 + g**3/8 - 16*g**2. Factor c(m).
3*(m - 1)**2*(m + 1)**2/4
Let f be 18/4*(-4)/(-3). Factor 2*x**5 - f - x**5 + 6.
x**5
Let k = -1/12 - -1/4. Let p(f) be the first derivative of -3/4*f**2 - 2 - f - k*f**3. Factor p(h).
-(h + 1)*(h + 2)/2
Let n(j) be the second derivative of -j**5/35 + j**4/7 - 19*j. Factor n(y).
-4*y**2*(y - 3)/7
Let l(r) = -3*r**3 - r**2 + 6*r - 2. Let v(n) be the second derivative of n**5/5 - n**3 + n**2 - n. Let p(w) = 6*l(w) + 5*v(w). Suppose p(y) = 0. What is y?
1
Let f(m) be the third derivative of m**7/945 - m**6/108 + 4*m**5/135 - m**4/27 - m**2. Determine u so that f(u) = 0.
0, 1, 2
Factor -12*f - 14*f**3 + 22*f**3 + 12*f**4 - 4 - 8*f**2 + 0 + 4*f**5.
4*(f - 1)*(f + 1)**4
Let s(q) be the third derivative of 5*q**2 - 1/30*q**5 + 0*q**4 + 0*q - 1/40*q**6 + 0*q**3 - 1/210*q**7 + 0. Solve s(p) = 0 for p.
-2, -1, 0
Let t(l) be the third derivative of -l**8/2160 + l**7/3780 + l**6/1620 + l**4/8 - 3*l**2. Let b(u) be the second derivative of t(u). Factor b(f).
-2*f*(2*f - 1)*(7*f + 2)/9
Let l = -13 + 13. Let 3*z**4 + 15*z**3 + l*z**2 - 3 - 9/2*z**5 - 21/2*z = 0. What is z?
-1, -1/3, 1, 2
Factor 0*q + 0 - 1/5*q**3 + 0*q**2 + 1/5*q**4.
q**3*(q - 1)/5
Let u(q) be the third derivative of q**6/300 + q**5/75 - q**4/60 - 2*q**3/15 + 10*q**2. Find g, given that u(g) = 0.
-2, -1, 1
Let s(h) be the second derivative of -2/45*h**6 + 2*h + 1/63*h**7 + 1/9*h**4 + 0 + 0*h**5 - 1/9*h**3 + 0*h**2. Factor s(l).
2*l*(l - 1)**3*(l + 1)/3
Let g(p) be the third derivative of -p**6/30 + p**5/30 + 7*p**4/96 + p**3/24 + 25*p**2. Factor g(k).
-(k - 1)*(4*k + 1)**2/4
Let f(m) = -2*m + m + 1 + 2*m. Let x be f(3). Find g, given that 2 - 2*g**x + 0 - 4 + 4*g**2 = 0.
-1, 1
Suppose 4*z + 0*z - 4 = 3*r, 4*z = 4*r + 4. Determine t so that 1/2*t**5 - t**3 + r*t**2 + 1/2*t + 0 + 0*t**4 = 0.
-1, 0, 1
Suppose 4*n - t - 1 = 5, 5*n - 5*t = 0. Solve -p**3 + 3*p**4 - 7/2*p**n + 7/4*p**5 - 3/4*p + 1/2 = 0 for p.
-1, 2/7, 1
Suppose -5*p = -4*m - 18, 4*p + 9*m + 2 = 4*m. Let w(k) = -k - 5. Let h be w(-5). Factor 2*r**p - r**2 + h*r**2.
r**2
Let u(j) = 19*j**3 + 20*j**2 + 31*j - 9. Let x(o) = -9*o**3 - 10*o**2 - 15*o + 4. Let d(z) = -6*u(z) - 13*x(z). Suppose d(h) = 0. What is h?
-2, -1, -1/3
Let p(j) be the third derivative of -j**6/300 - j**5/75 - 3*j**2. Suppose p(t) = 0. What is t?
-2, 0
Determine v so that 0*v + 2/3*v**2 - 2/3*v**4 - 2/3*v**3 + 2/3*v**5 + 0 = 0.
-1, 0, 1
Let z be (-862)/12 - (-1)/(-6). Let l = z + 433/6. Factor -1/3 + 1/6*i**2 - l*i.
(i - 2)*(i + 1)/6
Suppose -90*h + 23*h - 4*h**2 + 39*h = 0. Calculate h.
-7, 0
Let h(x) be the third derivative of x**5/20 + 5*x**4/8 + 2*x**3 + 16*x**2. What is t in h(t) = 0?
-4, -1
Let a(g) be the second derivative of g**7/7560 - g**6/1080 + g**5/360 - 5*g**4/12 + 2*g. Let f(c) be the third derivative of a(c). Factor f(m).
(m - 