Let j(m) be the second derivative of a(m). Solve j(c) = 0 for c.
-2, -2/7, 0
Let y be (4 - -217) + (0 - 1). Let c be -3 + (y/(-12))/(-5). Factor -3*w**2 + c*w - 11/3*w**4 + 5*w**3 + 0 + w**5.
w*(w - 1)**3*(3*w - 2)/3
Let q(a) be the first derivative of -a**5/10 + a**4/6 + a**3/3 - a**2 + a + 1. Let m(t) be the first derivative of q(t). Factor m(k).
-2*(k - 1)**2*(k + 1)
Let s(x) be the third derivative of -x**5/60 + x**4/2 - 11*x**3/6 - 35*x**2. Factor s(t).
-(t - 11)*(t - 1)
Let s(l) be the first derivative of -l**6/12 - 2*l**5/5 - l**4/2 + l**3/3 + 5*l**2/4 + l + 27. Let s(j) = 0. Calculate j.
-2, -1, 1
Suppose 3*v = -8 + 17. Let o be ((-10)/(-15))/(2/15). Factor -w**3 - v*w**5 + 0*w**3 - 4*w**4 + 6*w**4 + 2*w**o.
-w**3*(w - 1)**2
Let h(j) = -j**3 - j + 1. Let a(q) = -4*q**4 + 3*q**3 + 4*q**2 + 3*q - 3. Let g(f) = -a(f) - 3*h(f). Solve g(n) = 0 for n.
-1, 0, 1
Let r = 1/23 + 17/138. Let x(y) be the first derivative of 0*y + 1/3*y**2 - 2/9*y**3 + 1 - r*y**4 + 2/15*y**5. Determine a, given that x(a) = 0.
-1, 0, 1
Let a = 8 - 5. Suppose -4*b = -a*r - 6, -8 = -4*b + 4. Find u such that -1/4 - 1/4*u + 1/4*u**r + 1/4*u**3 = 0.
-1, 1
Let h(w) = w**3 + w**2 - w + 1. Suppose 3*l + 4 = x, -11 + 27 = -3*l + 4*x. Let p be h(l). Factor 1 + g**2 + 4*g + 2 + p.
(g + 2)**2
Let t(i) be the third derivative of 1/18*i**4 - 1/270*i**5 + 11*i**2 + 0 + 0*i - 1/3*i**3. Factor t(u).
-2*(u - 3)**2/9
Let n be (-2)/6 + (-6)/9. Let z(w) = -2*w - 2. Let b be z(n). What is q in 0 - 2/7*q**3 + 0*q**2 + b*q + 2/7*q**4 = 0?
0, 1
Let h(v) be the second derivative of -v**4/24 + 44*v. Find r such that h(r) = 0.
0
Let r = -22 + 24. Solve -2*o + 4 - 4 + 9*o**3 - o + 6*o**r = 0.
-1, 0, 1/3
Let t = -148/5 + 30. Determine l, given that t*l**2 - 4/5*l + 2/5 = 0.
1
Factor -4 - 54*y**2 + 58*y**2 + 20 - 20*y.
4*(y - 4)*(y - 1)
What is y in 8/9*y**2 + 2/9*y**3 - 8/9*y**4 - 2/9*y + 0 = 0?
-1, 0, 1/4, 1
Let u(g) be the first derivative of 0*g - 4 - 1/18*g**4 - 2/27*g**3 + 2/9*g**2. Factor u(p).
-2*p*(p - 1)*(p + 2)/9
Let b(z) = -3*z**2 - 3*z + 40. Let y(g) = 1. Let w(x) = -b(x) + 4*y(x). Let w(o) = 0. Calculate o.
-4, 3
Let u = -104 - -106. Determine d, given that u*d + 8/3*d**4 - 20/9*d**2 - 4/9 - 8/9*d**3 - 10/9*d**5 = 0.
-1, 2/5, 1
Let w(z) = 9*z**3 - 21*z**2 + 16*z - 8. Let v(u) = 17*u**3 - 41*u**2 + 32*u - 15. Let j(n) = -4*v(n) + 7*w(n). Find s, given that j(s) = 0.
2/5, 1, 2
Find g such that -4/5*g**3 - 2/5 + 6/5*g + 6/5*g**4 - 4/5*g**2 - 2/5*g**5 = 0.
-1, 1
Suppose 0 = -4*w - w + 10. Let g = -10 + 12. Solve j**w - 5*j + g*j + 2*j = 0.
0, 1
Let g(n) be the first derivative of 4*n**5/5 - 3*n**4/2 - 4*n**3/3 + 3*n**2 - 7. What is i in g(i) = 0?
-1, 0, 1, 3/2
Let x(p) = -p**3 - 3*p**2 - 4. Let l(i) = -2*i**3 - 7*i**2 - 8. Let f(o) = 6*l(o) - 13*x(o). Factor f(h).
(h - 2)**2*(h + 1)
Factor 4/5*d**3 + 0*d**2 + 8/5 - 12/5*d.
4*(d - 1)**2*(d + 2)/5
Let d(n) = -3*n**3 + 4*n**3 + n**3 - 8*n**2 + 2*n**2 - 2*n - 8*n**4 + 4. Let q(v) = -v**4. Let w(s) = d(s) - 10*q(s). Find c such that w(c) = 0.
-2, -1, 1
Suppose z - 7 = 2*w, -2*z + 3*w = z - 15. Let b be 0/(3/z)*1. Find f such that 0*f - 2/3*f**5 + 2/3*f**4 + b + 2/3*f**3 - 2/3*f**2 = 0.
-1, 0, 1
Let y(b) be the second derivative of -b**6/720 + b**5/240 + b**3/3 + b. Let o(g) be the second derivative of y(g). Find l, given that o(l) = 0.
0, 1
Suppose 14*z - 19*z = -90. Solve 3*o**2 - 3 + 12*o + 6 - z*o = 0.
1
Let r be 8/((-2)/1) - 0. Let f be (r/(-6))/((-3)/(-9)). Factor j**2 + j**2 - j**2 - f*j**3 + j**4.
j**2*(j - 1)**2
Let b(g) be the second derivative of g**7/189 + 4*g**6/135 + g**5/15 + 2*g**4/27 + g**3/27 + 36*g. Solve b(u) = 0 for u.
-1, 0
Let p be 0 + 1 + (-2 - -1). Let b = p - -2. Solve 5*n - 5*n + 7*n**3 + b*n - 9*n**4 - 11*n**4 + 11*n**2 = 0 for n.
-2/5, -1/4, 0, 1
Let v(p) = p**3 - 13*p**2 + 23*p - 11. Let s(b) = -2*b**3 + 20*b**2 - 34*b + 16. Let a(t) = -5*s(t) - 7*v(t). Find q, given that a(q) = 0.
1
Let x be 2/(-1) + 2 + -2. Let n(s) = -13*s**2 - 21*s - 8. Let r(i) = -3*i**2 - 5*i - 2. Let c(h) = x*n(h) + 9*r(h). Find f, given that c(f) = 0.
-2, -1
Let w(b) be the third derivative of b**5/300 - b**4/120 - b**3/15 - 7*b**2. Let w(z) = 0. What is z?
-1, 2
Let b be 91/21 - -1 - 2. Factor 3/2*w**4 - b*w**3 - 1/3*w + 13/6*w**2 + 0.
w*(w - 1)**2*(9*w - 2)/6
Let r = 0 - -2. What is u in -u - u**2 + 0*u + 2*u + r = 0?
-1, 2
Let c(v) be the first derivative of -v**8/1344 - v**7/420 + v**5/120 + v**4/96 + 3*v**2/2 - 3. Let k(t) be the second derivative of c(t). Factor k(g).
-g*(g - 1)*(g + 1)**3/4
Let b be -5 + 3 + -1 - 20/(-6). Suppose -b*i + 8*i**4 - 16/3*i**5 + 0 - 2*i**2 - 1/3*i**3 = 0. Calculate i.
-1/4, 0, 1
Let y be 48/(-30) + (-3 - -5). Factor 0*d + 0 + 2/5*d**2 - 4/5*d**3 + y*d**4.
2*d**2*(d - 1)**2/5
Let v(m) be the first derivative of 1/10*m**4 + 1 + 2/5*m**3 + 3/5*m**2 + 2/5*m. Let v(a) = 0. Calculate a.
-1
Let o(k) be the first derivative of -k**6/7 + 8*k**5/35 + 4*k**4/7 - 12*k**3/7 + 11*k**2/7 - 4*k/7 + 1. Determine p, given that o(p) = 0.
-2, 1/3, 1
Let p(s) = -s**3 + s**2 - 4*s. Suppose 2 = -2*w + 4. Let u(l) = -l**3 - l. Let i(y) = w*p(y) - 2*u(y). Find k such that i(k) = 0.
-2, 0, 1
Let o(z) be the second derivative of -z**4/8 + 5*z**3/12 - z**2/2 + 5*z. Find n, given that o(n) = 0.
2/3, 1
Factor 0 + 2/13*k**2 + 4/13*k.
2*k*(k + 2)/13
Let a(i) be the first derivative of 4*i**3 - 2*i**2 - 8*i - 4. Factor a(r).
4*(r - 1)*(3*r + 2)
Let h(j) be the second derivative of -3*j + 1/3*j**2 - 1/36*j**4 - 1/18*j**3 + 0. Factor h(m).
-(m - 1)*(m + 2)/3
Let o = 57 - 55. Let 1/3*w**5 + 5/3*w**4 + 0 - 8/3*w - 4/3*w**2 + o*w**3 = 0. Calculate w.
-2, 0, 1
Let g = 1927/300 + -7/300. Determine o so that 8/5*o**3 - 1/5*o**4 + g*o - 24/5*o**2 - 16/5 = 0.
2
Factor 0*n + 0*n**2 + 4/5*n**4 - 4/5*n**5 + 0 + 8/5*n**3.
-4*n**3*(n - 2)*(n + 1)/5
Let d(o) be the third derivative of o**6/280 - o**5/35 + 5*o**4/56 - o**3/7 - 10*o**2. Factor d(x).
3*(x - 2)*(x - 1)**2/7
Let k(u) be the second derivative of -u**4/15 - 4*u**3/15 + 16*u**2/5 + 4*u - 2. Determine n so that k(n) = 0.
-4, 2
Let g be (1/34)/((-1)/8). Let v = g + 25/34. Factor 3/2*c**3 + 1/2*c + 3/2*c**2 + v*c**4 + 0.
c*(c + 1)**3/2
Let g(k) be the first derivative of -k**5/35 + k**4/28 + 5*k**3/21 + 3*k**2/14 - 7. Factor g(x).
-x*(x - 3)*(x + 1)**2/7
Let h(p) = -8*p - 7. Let u(i) = i + 1. Let o(y) = 2*h(y) + 14*u(y). Let n be o(-1). Solve -x**2 + 6*x**3 - 10*x**4 - x**2 + 4*x**n + 2*x**4 = 0 for x.
-1/4, 0, 1
Let w(l) be the first derivative of -1/210*l**5 - 3 + 0*l + l**2 + 0*l**3 - 1/42*l**4. Let n(a) be the second derivative of w(a). Suppose n(b) = 0. What is b?
-2, 0
Let f(d) be the third derivative of 0 + 1/6*d**3 + 5/12*d**4 - 3*d**2 + 5/12*d**5 + 0*d. Factor f(k).
(5*k + 1)**2
What is w in 2*w**2 + 5*w - 7*w + w**2 - 2*w**3 + w**3 = 0?
0, 1, 2
Let r(t) be the first derivative of 0*t**2 + 1/60*t**5 + 1/180*t**6 + 0*t + 1 - 2/3*t**3 - 1/6*t**4. Let y(x) be the third derivative of r(x). Factor y(u).
2*(u - 1)*(u + 2)
Let h = 35 - 34. Let x be 1 - h/((-25)/(-20)). Factor 0*w**2 + 1/5*w**3 + 0*w + x*w**4 + 0.
w**3*(w + 1)/5
Let a be 10/(-8)*14/(-15). Let m = a - -1/6. Let -1/3*o**2 - 4/3*o - m = 0. What is o?
-2
Let x(l) = -4*l - 2. Let c be x(-1). Determine f, given that -2/3*f**3 + 4/3*f**c + 2/3*f - 4/3 = 0.
-1, 1, 2
Let v(d) = d**3 + 3*d**3 - 1 - 4*d**3 - d**3. Let l(w) = -4*w**3 - w**2 - 3. Let a(b) = -l(b) + 3*v(b). Factor a(r).
r**2*(r + 1)
Let a be (-312)/(-495) + (-4)/6. Let y = 46/55 + a. Let y*c + 0 - 2/5*c**2 = 0. What is c?
0, 2
Let c(m) = m**3 - 17*m**2 + 15*m + 19. Let x be c(16). Factor 0*z + 0 - 1/4*z**4 + 1/4*z**x + 0*z**2.
-z**3*(z - 1)/4
Let d(k) be the second derivative of -k**7/56 - 3*k**6/20 - 39*k**5/80 - 3*k**4/4 - k**3/2 + 11*k. Solve d(s) = 0 for s.
-2, -1, 0
Suppose -4 = -3*z + 2. Find u, given that 17 - 99*u**3 - 42*u - 138*u**z + 6*u - 21*u**4 + 7 = 0.
-2, -1, 2/7
Let y(g) be the second derivative of g**4/3 + 4*g**3 + 18*g**2 + 3*g. Let y(d) = 0. Calculate d.
-3
Let c(r) be the second derivative of r**7/147 - 2*r**6/35 + 4*r**5/35 + r**4/21 - 3*r**3/7 + 4*r**2/7 - 14*r + 3. Factor c(t).
2*(t - 4)*(t - 1)**3*(t + 1)/7
Suppose 0 = -z + 5 - 3. Let o - o**3 + o + 0*o - o - o**4 + o**z = 0. What is o?
-1, 0, 1
Let x(f) = -f. Let w be x(-3). Suppose 5*u + 4*k 