n**4 + w + 4/3*n**3 = 0. Calculate n.
-1, 0, 1
Let g(h) be the second derivative of -h**7/3780 + h**5/180 - h**4/4 + 3*h. Let c(u) be the third derivative of g(u). Factor c(b).
-2*(b - 1)*(b + 1)/3
Let c(x) be the second derivative of -5*x**4/12 - 5*x**3/6 - 6*x. Determine y so that c(y) = 0.
-1, 0
Suppose r - 6*r = -0*r. Let t(v) be the third derivative of 2*v**2 + 0 + 1/12*v**4 + r*v - 1/6*v**3 - 1/60*v**5. Factor t(n).
-(n - 1)**2
Let f(g) be the second derivative of 8*g**7/21 - 22*g**6/15 - 31*g**5/5 + 53*g**4/3 + 58*g**3 + 36*g**2 - g - 15. Find d, given that f(d) = 0.
-2, -1, -1/4, 3
Let o be 6/(-45) + 2/15. Suppose 4*k - k = 0. Factor o*u + 1/2*u**5 + k - 5/4*u**4 - 1/4*u**2 + u**3.
u**2*(u - 1)**2*(2*u - 1)/4
Let y = 5 + -5. Let v(t) = -t + 10. Let h be v(8). Factor y - 32/3*g**3 + 8/3*g**h - 6*g**5 + 0*g + 14*g**4.
-2*g**2*(g - 1)*(3*g - 2)**2/3
Let k(g) be the second derivative of -5/126*g**7 + 1/18*g**4 - 3*g - 1/45*g**6 + 0 + 0*g**2 + 0*g**3 + 1/12*g**5. Determine a so that k(a) = 0.
-1, -2/5, 0, 1
Let v(b) = b**3 + 6*b**2 + 5*b + 2. Let a be v(-5). Factor a*y + 0*y**2 + 6*y**3 - y**2 - 2*y**4 - 5*y**2.
-2*y*(y - 1)**3
Factor 4/5*k**2 + 4/5*k**3 - 4/5*k**4 + 0 - 4/5*k.
-4*k*(k - 1)**2*(k + 1)/5
Factor -9*h**2 + 17*h + 13*h - 9*h**4 + 6*h**4 - 18*h**3.
-3*h*(h - 1)*(h + 2)*(h + 5)
Let s be ((-27)/4)/(15/(-40)). Let c be ((-1250)/s)/((-2)/12). Factor -320/3*m**2 + 32/3*m + c*m**5 - 2000/3*m**4 + 400*m**3 + 0.
2*m*(5*m - 2)**4/3
Let u(d) be the second derivative of -d**5/30 + 2*d**4/9 - 5*d**3/9 + 2*d**2/3 - 46*d. Factor u(b).
-2*(b - 2)*(b - 1)**2/3
Find d such that 0*d - 8/7 + 2/7*d**2 = 0.
-2, 2
Let g(v) be the first derivative of -v**4/7 - 8*v**3/7 + 2*v**2 - 44. Find y such that g(y) = 0.
-7, 0, 1
Let h(i) be the third derivative of 0*i**7 + 0 + 0*i**3 - 1/540*i**6 + 0*i - 2*i**2 + 0*i**5 + 0*i**4 + 1/1512*i**8. Factor h(o).
2*o**3*(o - 1)*(o + 1)/9
Let d(p) = p**5 - p**4 - 2*p**2 - p - 3. Suppose 0 = 12*z - 8*z + 32. Let k(o) = -3*o**5 + 2*o**4 + 6*o**2 + 3*o + 8. Let y(l) = z*d(l) - 3*k(l). Factor y(u).
u*(u - 1)*(u + 1)**3
Let r(z) be the first derivative of z**7/105 - z**5/30 + 3*z**2/2 + 3. Let y(o) be the second derivative of r(o). Suppose y(t) = 0. What is t?
-1, 0, 1
Let j be 1/((16/(-4))/(-20)). Suppose -11*b**3 + j*b**2 + 3*b**2 + 8*b + 13*b**3 = 0. Calculate b.
-2, 0
Let 56*j - 8*j**2 - 60*j + 4*j**3 + 0 + 8 = 0. What is j?
-1, 1, 2
Let s(c) = -c + 7. Let x be s(5). Let b(r) = r**3 + 8*r**2 - r - 6. Let y be b(-8). Factor -k**x - y*k + 2*k.
-k**2
Let b = 34/3 - 10. Factor -b*y**3 - 2/3*y - 1/3*y**4 + 0 - 5/3*y**2.
-y*(y + 1)**2*(y + 2)/3
Let u(m) be the third derivative of 2/15*m**7 + 1/15*m**4 + 14/75*m**5 - 3*m**2 + 0*m**3 + 23/100*m**6 + 0*m + 0 + 5/168*m**8. Suppose u(j) = 0. Calculate j.
-1, -2/5, 0
Factor -8/9 - 2/9*u**4 + 8/9*u + 2/3*u**2 - 4/9*u**3.
-2*(u - 1)**2*(u + 2)**2/9
Let t(a) = -a**4 + a**2. Let y(v) = -5*v**5 - 25*v**4 - 10*v**3 + 20*v**2 + 15*v + 5. Let f(s) = 10*t(s) - y(s). Determine u, given that f(u) = 0.
-1, 1
Let b be 24/(-60)*(-9)/(-2) + 2. Let r(n) be the first derivative of 2/5*n + 2/5*n**2 + 0*n**3 + 1 - b*n**4 - 2/25*n**5. Factor r(q).
-2*(q - 1)*(q + 1)**3/5
Let b be ((-9)/3)/(-9)*9. Factor -b*t - t**3 + 2 - 1 + 0*t**2 + 0*t + 3*t**2.
-(t - 1)**3
Let a(f) be the third derivative of -f**8/1848 + f**7/385 - f**6/330 - f**5/165 + f**4/44 - f**3/33 - 17*f**2. Suppose a(w) = 0. Calculate w.
-1, 1
Let n(d) be the third derivative of d**8/504 - d**7/420 - d**6/270 - d**3/3 + d**2. Let m(u) be the first derivative of n(u). Suppose m(p) = 0. Calculate p.
-2/5, 0, 1
Let t = 21 - 16. Let i(u) = u**3 - 6*u**2 + 7*u - 4. Let y be i(t). Let 16*j**2 + 2/3 + 32/3*j**3 + y*j = 0. What is j?
-1, -1/4
Factor 5*l**2 - 12*l - 4*l**2 - 12 - l**2 - 3*l**2.
-3*(l + 2)**2
Let l(j) = -j**3 - 5*j**2 - 5*j + 2. Let u be l(-5). Let r be (-16)/(-18) + (-18)/u. Factor 0 - 4/9*s**2 + 4/9*s**4 + r*s**5 + 0*s**3 - 2/9*s.
2*s*(s - 1)*(s + 1)**3/9
Let u(b) be the third derivative of 0 + 1/60*b**5 + 1/6*b**3 - 1/12*b**4 - 2*b**2 + 0*b. Factor u(f).
(f - 1)**2
Let u(k) = -k**2 - 6*k + 3. Let p be u(-6). Find v such that 7*v**3 - 3*v**4 - 8 + 7*v**4 + 4*v**2 + 2*v**2 - 16*v + 7*v**p = 0.
-2, -1/2, 1
Let u = -55/2 - -28. Let s be (-6)/(-16)*(20 - 12). What is c in -1/2*c**2 + 1/4*c**4 - 1/4*c**5 + u*c**s + 1/4 - 1/4*c = 0?
-1, 1
Factor 3/5*g - 3/5*g**3 + 6/5 - 6/5*g**2.
-3*(g - 1)*(g + 1)*(g + 2)/5
Let j(o) be the third derivative of o**8/4 - 82*o**7/105 + 17*o**6/30 + o**5/3 - o**4/3 - 7*o**2. Let j(s) = 0. Calculate s.
-1/3, 0, 2/7, 1
Let m(f) = -f**4 + f**3 - f**2 - f. Let d(r) = -3*r**4 + 8*r**3 - 15*r**2 + 10*r - 4. Let l(c) = -2*d(c) + 4*m(c). Factor l(q).
2*(q - 2)**2*(q - 1)**2
Let w = 0 + 5. Let n(t) be the first derivative of -2 - 2/3*t**2 + 10/9*t**3 + 2/15*t**w + 0*t - 2/3*t**4. Factor n(r).
2*r*(r - 2)*(r - 1)**2/3
Let d(t) be the third derivative of t**8/1176 + t**7/735 - t**6/420 - t**5/210 + t**2 - 2. Determine a so that d(a) = 0.
-1, 0, 1
Let k = -10 + 22. Suppose 2*y - k = -2*y. Factor -2*l**2 + 2*l**3 - l - l**y + 2*l.
l*(l - 1)**2
Let t be (-2)/5 - ((-13)/20)/1. Factor 7/4*f**2 - f**3 - t - 1/2*f.
-(f - 1)**2*(4*f + 1)/4
Let q(a) be the second derivative of -a**4/8 - a**3/3 - a**2/4 - 34*a. Factor q(c).
-(c + 1)*(3*c + 1)/2
Let c(s) = -5*s - 3. Let v be c(-3). Suppose 4*b - 2*z = v, 7 + 5 = 3*z. Find w, given that w**4 - b*w**5 + 0*w + 0*w - w**2 + 3*w**5 + 2*w**3 = 0.
-1, 0, 1/2, 1
Let b(l) be the second derivative of -2/3*l**3 - 1/4*l**4 + 2/15*l**6 - 1/2*l**2 + 2*l + 1/5*l**5 + 0. Factor b(i).
(i - 1)*(i + 1)*(2*i + 1)**2
Factor -4*v**2 - 2*v + 2*v**2 + v**2 + v.
-v*(v + 1)
Suppose -3/5*z - 3/5*z**4 + 3/5*z**2 + 0 + 3/5*z**3 = 0. What is z?
-1, 0, 1
Suppose 14 = 2*x + 3*x + 2*t, 0 = x + 4*t - 10. Let q = -3/8 + 17/24. Suppose -w - 2/3 - q*w**x = 0. What is w?
-2, -1
Let t = -3 - -10. Suppose -2 - 19 = -t*x. Factor 4/5*p**4 + 6/5*p**x - 2/5*p**5 - 8/5*p - 8/5*p**2 + 0.
-2*p*(p - 2)**2*(p + 1)**2/5
Let g(a) = 2*a**2 + 2*a. Let l(y) = -y**2 - 9*y - 10. Let m be l(-8). Let w be g(m). Find p such that -4 - 4*p**2 + 2*p + 2*p**3 + w = 0.
0, 1
Let d(t) = -t**2 + 7*t + 5. Let s be d(8). Let r be (44/(-21) + 2)*s. What is j in 2/7*j**2 - 4/7 - r*j = 0?
-1, 2
Let f(h) = 6*h + 3. Let t be f(-2). Let m be 0*(2 - t/(-6)). Suppose 0*o**3 + 0 - 2/7*o**4 + 2/7*o**2 + m*o = 0. Calculate o.
-1, 0, 1
Solve -18/13*s - 2/13*s**3 + 12/13*s**2 + 0 = 0.
0, 3
Suppose -11*a = -8*a - 6. Factor -2*l**2 - 3*l - 2*l - a*l**3 + 9*l.
-2*l*(l - 1)*(l + 2)
Suppose -3*r = -6*r. Factor -5*h**2 + 6*h**2 + r*h**2 - 1.
(h - 1)*(h + 1)
Let q be 2*-1 + (-91)/4. Let m = q - -25. Factor t**2 + t + m.
(2*t + 1)**2/4
Let f(s) = -9*s + 6. Let p(h) = -h**2 + 9*h - 6. Let c(b) = 2*f(b) + 3*p(b). Determine z, given that c(z) = 0.
1, 2
Let a(n) be the second derivative of -5*n**7/42 + n**6/2 + n**5/4 - 35*n**4/12 + 10*n**2 - 34*n. Let a(w) = 0. Calculate w.
-1, 1, 2
Let z(b) be the third derivative of 0*b - 1/50*b**5 + 0*b**3 - 1/300*b**6 + 4*b**2 - 1/30*b**4 + 0. Determine y so that z(y) = 0.
-2, -1, 0
Let o(s) be the first derivative of -1/9*s**3 - 1/72*s**4 + 1 + 0*s + 1/90*s**5 + 1/360*s**6 - 1/2*s**2. Let y(d) be the second derivative of o(d). Factor y(w).
(w - 1)*(w + 1)*(w + 2)/3
Let z be 8/(-14) + 6912/(-7). Let d = 6928/7 + z. Solve 2/7*v**2 - d*v + 18/7 = 0 for v.
3
Let n = -3/43 - -55/172. Factor -1/4 + 1/4*c**5 + 1/4*c - 1/2*c**3 + 1/2*c**2 - n*c**4.
(c - 1)**3*(c + 1)**2/4
Let c(m) be the third derivative of 0*m + 1/240*m**6 - 1/120*m**5 + 3*m**2 + 0*m**3 + 0*m**4 + 0. Find y such that c(y) = 0.
0, 1
Solve 9/5*w - 9/5*w**2 + 3/5*w**3 - 3/5 = 0 for w.
1
Let l(r) be the first derivative of r**5/10 + 2*r - 2. Let t(w) be the first derivative of l(w). Suppose t(a) = 0. Calculate a.
0
Let p(g) = -g - 5. Let z be p(-8). Let y(o) be the third derivative of 1/27*o**z + 0 - o**2 + 0*o + 1/540*o**6 - 1/108*o**4 - 1/270*o**5. Factor y(i).
2*(i - 1)**2*(i + 1)/9
Suppose 2*z + 334 + 102 = 0. Let a = 1102/5 + z. Find n such that -12/5*n**3 + 3/5 + a*n - 3/5*n**2 = 0.
-1, -1/4, 1
Let t be -1 - -7 - (-9 + 11). Let s(v) be the first derivative of 0*v**3 + 0*v + 0*v**2 + 0*v**5 - 1/10*v**t - 1 + 1/15*v**6. Solve s(i) = 0.
-1, 0, 1
Let n(o) = -24*o. Let r