(f) = 0.
-1, 0, 1
Let f = -22 + 199/9. Let b(s) be the second derivative of 0*s**4 + f*s**3 + 0*s**2 + 0 - 1/30*s**5 - s. Suppose b(x) = 0. What is x?
-1, 0, 1
Let w(z) be the second derivative of -1/18*z**4 - 1/2*z**2 + 1/9*z**3 + 2*z + 0 + 1/90*z**5. Let f(g) be the first derivative of w(g). Factor f(m).
2*(m - 1)**2/3
Let j(p) be the third derivative of p**6/24 - p**5/4 - 15*p**4/8 - 25*p**3/6 - 17*p**2. Suppose j(g) = 0. What is g?
-1, 5
Let d = -6 - -8. Suppose d*i - 4*x = -2*i + 48, -x = 4*i - 58. Factor -7 - 6*r**4 - i*r**3 - 9 - 40*r + 4*r**4 - 36*r**2.
-2*(r + 1)*(r + 2)**3
Factor -4/11*c**3 + 2/11*c**4 + 0*c**2 + 4/11*c - 2/11.
2*(c - 1)**3*(c + 1)/11
Let o(x) be the third derivative of x**8/2352 + x**7/490 + x**6/840 - x**5/140 - x**4/84 + 33*x**2. Factor o(q).
q*(q - 1)*(q + 1)**2*(q + 2)/7
Let h(d) be the first derivative of 2*d**5/11 + 7*d**4/11 + 8*d**3/11 + 2*d**2/11 - 2*d/11 - 7. Factor h(y).
2*(y + 1)**3*(5*y - 1)/11
Let z = -3 + 3. Determine r, given that -r**4 - 3*r**3 + 5*r**2 + z*r**3 - 8*r**2 - r = 0.
-1, 0
Let p(c) be the first derivative of -c**4/48 + c**3/24 + 2*c - 2. Let u(q) be the first derivative of p(q). Solve u(g) = 0 for g.
0, 1
Let r = -56 + 59. Solve 0 + 3/5*i + 12/5*i**r + 3*i**2 = 0 for i.
-1, -1/4, 0
Let y(q) = -q**3 - 8*q**2 + 13*q + 6. Let s be y(-9). Let m be (-78)/s + 2/5. Factor -6/7*f - 2/7 + 6/7*f**m + 2/7*f**2.
2*(f - 1)*(f + 1)*(3*f + 1)/7
Let w(h) be the second derivative of 0 - h - 2/3*h**3 + 1/6*h**4 + 0*h**2. Factor w(i).
2*i*(i - 2)
Let s(l) = l + 15. Let f be s(-10). Let j be ((-9)/f)/(105/(-50)). Factor -2/7 - j*v**2 + 6/7*v + 2/7*v**3.
2*(v - 1)**3/7
Let p(l) = -l - 2. Let g be p(-4). Suppose -3*h**g + 19*h**2 - 3*h - 5*h + 62*h**3 - 70*h**4 = 0. Calculate h.
-2/5, 0, 2/7, 1
Let m = -6 + 10. Suppose -m*p + 12 = -p. Let 4*n**2 + 6*n**3 + n**2 + n**2 + 2*n + 2*n**p = 0. Calculate n.
-1, 0
Suppose 241 = 7*u - 95. Determine m, given that 20*m**2 + u*m + 1 - 6 + 5 + 16 = 0.
-2, -2/5
Factor 4*y**2 - 18*y - 11 + 3 + 22*y.
4*(y - 1)*(y + 2)
Factor -1 - 3/2*r - 1/2*r**2.
-(r + 1)*(r + 2)/2
Let v(f) be the first derivative of -9*f**5/5 - 3*f**4/2 + 11*f**3/3 + 2*f**2 - 4*f - 3. Factor v(i).
-(i + 1)**2*(3*i - 2)**2
Let r(n) be the second derivative of n**6/1080 + n**5/180 + n**4/72 - n**3/2 + 4*n. Let a(o) be the second derivative of r(o). Suppose a(c) = 0. What is c?
-1
Let m be (-2)/(-3) + (-126)/(-54). Let v(g) be the third derivative of -1/315*g**7 - 2*g**2 + 1/90*g**6 + 0*g - 1/18*g**4 + 1/9*g**m + 0 + 0*g**5. Factor v(z).
-2*(z - 1)**3*(z + 1)/3
Let n(o) be the second derivative of 7*o**7/360 - 7*o**6/270 + o**5/90 - o**3/3 - o. Let a(q) be the second derivative of n(q). What is r in a(r) = 0?
0, 2/7
Suppose 0 = 3*w + 4*f - 17, 4*w - 4*f - 2 = 2. Factor -a**w + 0*a + 0 - 3/2*a**4 + 0*a**2.
-a**3*(3*a + 2)/2
Factor -2*w**2 + 4*w + 9*w**2 - 5*w**2.
2*w*(w + 2)
Let u = 302 + -4528/15. Let o = 26/15 - u. Find k, given that 18/5*k**3 - 8/5*k + o*k**2 + 0 - 18/5*k**4 = 0.
-2/3, 0, 2/3, 1
Let r(b) = 20*b**2 + 12*b + 10. Let t(o) = o - 7. Let d be t(13). Let u(n) = -39*n**2 - 25*n - 19. Let m(z) = d*u(z) + 11*r(z). Let m(y) = 0. What is y?
-1, -2/7
Let t(w) be the first derivative of w**6/30 - w**5/10 + w**3/3 - w**2/2 - w - 4. Let b(f) be the first derivative of t(f). Factor b(k).
(k - 1)**3*(k + 1)
Let q = -711/8 + 89. Let d(s) be the first derivative of -1/6*s**3 - 1 + q*s**4 + 0*s + 1/10*s**5 - 1/4*s**2. Find w such that d(w) = 0.
-1, 0, 1
Let g(q) = -q**2 - 4*q + 3. Let w be g(-4). Factor 4/5 - 4/5*k**2 - 2/5*k**w + 2/5*k.
-2*(k - 1)*(k + 1)*(k + 2)/5
Let k(c) be the third derivative of -c**7/490 + c**6/40 - 3*c**5/28 + 9*c**4/56 + 12*c**2. Find b, given that k(b) = 0.
0, 1, 3
Let j(v) be the third derivative of v**8/1008 + v**7/315 - v**5/90 - v**4/72 - 4*v**2. Suppose j(s) = 0. What is s?
-1, 0, 1
Let u = -176 + 176. Let o(n) be the first derivative of -2 - 1/2*n**4 + 0*n**2 - 2/3*n**3 + u*n. Factor o(b).
-2*b**2*(b + 1)
Let y be (((-54)/(-6))/(-9))/(-3). Factor 1/3*k + 0 + 0*k**2 - y*k**3.
-k*(k - 1)*(k + 1)/3
Let v(g) be the second derivative of g**4/28 - g**3/14 + 9*g. Find o such that v(o) = 0.
0, 1
Let j(k) be the first derivative of k**4/2 - 4*k**2 - 14. Factor j(d).
2*d*(d - 2)*(d + 2)
Let k(w) be the second derivative of 3*w**5 + 19*w**4/3 - 8*w**2 - 4*w. Factor k(t).
4*(t + 1)*(3*t + 2)*(5*t - 2)
Find j, given that 2/3*j**3 - 2/3*j**4 + 4/3*j**2 - 2/3 - 1/3*j**5 - 1/3*j = 0.
-2, -1, 1
Let b(a) be the third derivative of -a**4/12 + a**3/6 - a**2. Let t be b(-1). Factor 3/4*m**2 - 3/4*m + 1/4 - 1/4*m**t.
-(m - 1)**3/4
Let l be (2 + (-3)/2)*0. Suppose r = 3 - l. Factor 9/2*q**r - 3*q**2 - 10*q - 4.
(q - 2)*(3*q + 2)**2/2
Suppose -4*h = 17 - 13. Let y be (-17)/(-3) + h + -2. Suppose y + 26/3*l**2 + 2/3*l**4 - 8*l - 4*l**3 = 0. Calculate l.
1, 2
Suppose -24 + 0 = -3*m. Let s be (-4)/(-6) - m/12. Factor -1/5*o**4 + 0*o + s - 1/5*o**3 + 0*o**2.
-o**3*(o + 1)/5
Let s(g) be the second derivative of g**5/80 + g**4/48 - g**3/24 - g**2/8 - 10*g. Factor s(a).
(a - 1)*(a + 1)**2/4
Suppose 131 = -6*r + 149. Suppose -1/3 - p**2 + p + 1/3*p**r = 0. Calculate p.
1
Let c(j) be the third derivative of 3*j**7/140 - 5*j**6/48 + 7*j**5/40 - j**4/16 - j**3/6 + 3*j**2. Suppose c(w) = 0. What is w?
-2/9, 1
Let z be 5 + (-3 - (-2)/1). Suppose 10 + 8 = z*v - 3*i, -4*v + 10 = i. Factor -2*x**4 + x**2 - 3*x - 2 + 0*x**4 + 3*x**4 + v*x**3.
(x - 1)*(x + 1)**2*(x + 2)
Let u(s) be the second derivative of -1/20*s**6 + 0*s**2 - s + 0*s**3 + 0 + 0*s**4 - 1/40*s**5 + 1/21*s**7. Let u(l) = 0. What is l?
-1/4, 0, 1
Let m(t) = 8*t**2 - 14*t - 9. Let k(s) = 4*s**2 - 7*s - 4. Let p(w) = 5*k(w) - 2*m(w). Factor p(r).
(r - 2)*(4*r + 1)
Let j be 34/72 - ((-40)/18)/(-10). Let r be (2/(-6))/(8/(-6)). Factor -j*g**3 + r*g + 0 - g**2 + g**4.
g*(g - 1)*(g + 1)*(4*g - 1)/4
Let f(y) = 3*y**2 + 17*y + 14. Let q(h) = h**2 + 6*h + 5. Let l(j) = 3*f(j) - 8*q(j). Factor l(m).
(m + 1)*(m + 2)
Factor -6/5*a**3 - 9/5*a**2 + 12/5 + 3/5*a**4 + 12/5*a.
3*(a - 2)**2*(a + 1)**2/5
Let k(f) = f**3 + 3*f**2 - 6*f - 3. Let z be k(-4). What is g in -8*g**4 - 7*g**z + 8*g**2 + 3*g**5 + 4*g + 0*g**3 + 0*g**3 = 0?
-1, 0, 1
Factor 20*d**3 + 4*d + 2*d**2 + 17*d**3 - 55*d**3 + 14*d**3 + d**4 - 3.
(d - 3)*(d - 1)**2*(d + 1)
Solve 2685 + 8*p - 2685 + 4*p**2 = 0 for p.
-2, 0
Let l be (-7)/(-3) - (-4)/6. Let 6*r**2 - 7*r**2 + l*r**3 - 4*r**3 = 0. What is r?
-1, 0
Let g(f) = 3*f**4 - 6*f**3 - 2*f - 3. Let x(o) = o**4 - o**3 - o - 1. Let b(d) = g(d) - 4*x(d). Suppose b(z) = 0. Calculate z.
-1, 1
Let t(p) be the second derivative of -p**5/20 + 5*p**4/12 - 4*p**3/3 + 2*p**2 + 11*p. Solve t(g) = 0 for g.
1, 2
Factor 6/7*v**2 - 8/7*v + 2*v**3 + 0.
2*v*(v + 1)*(7*v - 4)/7
Suppose 113 = 4*o + 33. Solve 2*l**2 + o*l**5 + 8*l**3 - 31*l**4 + 59*l**4 - 2*l**2 = 0 for l.
-1, -2/5, 0
Let n(r) be the third derivative of r**7/1050 + r**6/300 - r**5/75 - r**4/60 + r**3/10 + 12*r**2. Determine i, given that n(i) = 0.
-3, -1, 1
Suppose -4*d - d = -2*d. Solve 0 + 0*l + 2/9*l**4 + 0*l**3 + d*l**2 = 0 for l.
0
Let b(y) be the second derivative of -1/3*y**3 - 1/2*y**2 - 5*y - 1/12*y**4 + 0. Suppose b(t) = 0. Calculate t.
-1
What is q in 0*q**4 + 0*q + 0*q**2 - 3/4*q**5 + 0 + 3/4*q**3 = 0?
-1, 0, 1
Let u(t) be the first derivative of -21*t**5/5 + 12*t**4 - 4*t**3 + 26. Factor u(a).
-3*a**2*(a - 2)*(7*a - 2)
Suppose -2*u + 13 = 3*l, -6 = 5*l + 5*u - 31. Find w, given that -3 + l - 2*w + 1 + w**2 = 0.
1
Let x(u) = 4*u**2 + u + 1. Let h(n) = -5*n**2 - n - 2. Let a(i) = 3*h(i) + 4*x(i). Factor a(s).
(s - 1)*(s + 2)
Factor 3/5*j**3 - 9/5*j + 0 - 6/5*j**2.
3*j*(j - 3)*(j + 1)/5
Let h be (2 - -18)/((-11)/(-454)). Let r = 826 - h. Suppose r*k**2 - 8/11*k + 4/11*k**3 - 2/11*k**4 - 8/11 = 0. What is k?
-1, 2
Let u(t) be the third derivative of -t**8/13440 - t**7/1680 - t**6/720 - t**4/12 - t**2. Let z(r) be the second derivative of u(r). Factor z(w).
-w*(w + 1)*(w + 2)/2
Let h(u) = 8*u**2 + 12*u - 16. Let f(k) = -3*k**2 - 4*k + 5. Let l(r) = 20*f(r) + 6*h(r). Factor l(o).
-4*(o + 1)*(3*o - 1)
Factor -9*d - 7*d - 17*d + 36*d**2 - 100 - 27*d - 4*d**3.
-4*(d - 5)**2*(d + 1)
Let p = -217 + 220. Factor 0 + 1/4*c - 1/4*c**2 + 1/4*c**4 - 1/4*c**p.
c*(c - 1)**2*(c + 1)/4
Suppose 0 = 3*x + 5*d + 9, -