s) = 0?
0, 1, 2
Let w(a) be the second derivative of -a**5/10 + 8*a**4/3 - 13*a**3/3 - 30*a**2 + 362*a. Factor w(n).
-2*(n - 15)*(n - 2)*(n + 1)
Let r(g) = -g**2 + 3. Let l(x) = -4*x**2 + x + 10. Suppose -3*t + j = -5*t + 46, 0 = t - 3*j - 9. Let v(m) = t*r(m) - 6*l(m). Factor v(z).
3*(z - 1)**2
Let d(a) = -5*a + 5. Let x be d(1). Let g(q) be the third derivative of x + 1/24*q**4 - 1/120*q**6 - 7*q**2 + 1/60*q**5 - 1/6*q**3 + 0*q. Factor g(b).
-(b - 1)**2*(b + 1)
Let v(h) be the third derivative of -5*h**8/336 - 17*h**7/42 - 33*h**6/8 - 69*h**5/4 + 270*h**3 + 52*h**2 - 4*h. Determine p so that v(p) = 0.
-6, -3, 1
Let f(n) be the first derivative of -n**8/560 + n**6/40 - n**5/20 + n**3 + 3. Let c(a) be the third derivative of f(a). Factor c(y).
-3*y*(y - 1)**2*(y + 2)
Determine n, given that 23*n**3 + 2*n**5 + n**4 + 20*n**3 + 8*n**2 + 11*n**4 - 25*n**3 = 0.
-4, -1, 0
Let l(g) be the second derivative of 0 + 36/5*g**2 + 1/75*g**6 + 21*g + 13/30*g**4 + 4*g**3 - 1/5*g**5. Factor l(k).
2*(k - 6)**2*(k + 1)**2/5
Let i(w) = 2*w**3 + w + 1. Let c(p) = -212*p**3 + 145*p**2 + 74*p + 9. Let v(s) = -c(s) + 4*i(s). Factor v(q).
5*(q - 1)*(4*q + 1)*(11*q + 1)
Suppose 5*w - 28 = -23. Let f(r) = -5*r**4 - 8*r**3 + 2*r + 2. Let t(m) = -m**4 - m**3 + m + 1. Let u(g) = w*f(g) - 2*t(g). Factor u(c).
-3*c**3*(c + 2)
Let h(s) = s**5 + 91*s**4 - 287*s**3 + 7*s. Let w(v) = -v**5 - 61*v**4 + 191*v**3 - 5*v. Let a(u) = 5*h(u) + 7*w(u). Factor a(n).
-2*n**3*(n - 7)**2
Solve -1/8 + 103/4*g - 10609/8*g**2 = 0.
1/103
Let z(s) be the second derivative of s**6/60 + s**5/20 - 7*s**4/24 - 5*s**3/3 - 3*s**2 + 6*s + 24. Factor z(u).
(u - 3)*(u + 1)*(u + 2)**2/2
Suppose 4*c - 6*c + 4 = 0. Factor -l**3 + 5*l**2 - 2*l**c - 4*l**2 - l**2.
-l**2*(l + 2)
Let g(m) be the second derivative of 3*m**5/20 - m**4/12 + m**2 - 15*m. Let f(n) = -n**2 + n + 1. Let l(u) = -2*f(u) + g(u). Solve l(h) = 0 for h.
-1, 0, 2/3
Let b(s) be the third derivative of -4*s**2 + 1/120*s**6 + 0*s - 1/60*s**5 - 1/12*s**4 + 0 + 0*s**3. Factor b(q).
q*(q - 2)*(q + 1)
Let d = -297 + 85. Let t = -1481/7 - d. Factor -2/7*z**3 - 3/7*z**4 + 2/7*z**2 + t*z - 1/7*z**5 + 1/7.
-(z - 1)*(z + 1)**4/7
Let f(s) = 5*s**3 - 5*s**2 - 2*s + 4. Let a(z) = -7*z**3 + 6*z**2 + 3*z - 4. Let l(n) = -2*a(n) - 3*f(n). Factor l(r).
-(r - 2)**2*(r + 1)
Let c = -7/52 + -29137/260. Let a = c - -113. Determine j so that 3/5*j**2 + a*j**5 + 0 - j**3 + 1/5*j - 3/5*j**4 = 0.
-1, -1/4, 0, 1
Let x = 2309/3 + -769. Solve -x*k + 1/6*k**3 - 1/6*k**2 + 2/3 = 0 for k.
-2, 1, 2
Let c(y) be the second derivative of 11/9*y**3 + 13/30*y**5 - 19/18*y**4 + 0 - 2/3*y**2 + 6*y - 1/15*y**6. Solve c(g) = 0.
1/3, 1, 2
Let b(l) = 16*l**4 + 6*l**3 - 50*l**2 + 106*l - 78. Let k(n) = n**4 + n**2 - n - 1. Let u(p) = -2*b(p) + 28*k(p). Factor u(i).
-4*(i - 2)**2*(i - 1)*(i + 8)
Let n(a) = 30*a**2 + 85*a - 40. Let c(l) = -l**2 + l - 3. Let j(i) = -25*c(i) - n(i). Factor j(r).
-5*(r - 1)*(r + 23)
What is d in 18/7 + 2/7*d - 6*d**3 - 4/7*d**4 - 54/7*d**2 = 0?
-9, -1, 1/2
Let i(c) be the second derivative of -c**7/2520 + c**6/180 + c**5/24 - 5*c**4/12 - 25*c. Let m(h) be the third derivative of i(h). Factor m(n).
-(n - 5)*(n + 1)
Let b(k) be the second derivative of -3*k**5/40 + 11*k**4/8 - 9*k**3/2 + 477*k. What is l in b(l) = 0?
0, 2, 9
Suppose 2*y - 2 - 10 = 0. Let f be 2*(33/y - 3). Suppose -112*i**4 - 67*i**3 + 83*i**f + i - 51*i**5 - 38*i**2 + 3*i + 181*i**3 = 0. What is i?
0, 1/4, 1, 2
Let d(h) be the third derivative of h**5/360 - 7*h**4/48 - 52*h**2 - 1. Determine z so that d(z) = 0.
0, 21
Let 262 + 256 - 780 - n**2 + 246 + 10*n = 0. What is n?
2, 8
Let r be ((-12)/8)/((-6)/16). Suppose -6 - 18 = -r*t. Let 3*o + 3*o**3 + 2 + 4 - 6*o**2 - t*o**3 = 0. Calculate o.
-2, -1, 1
Let c(m) be the second derivative of 4/165*m**6 + 2/33*m**4 + 0 + 0*m**2 + 3/55*m**5 + 1/33*m**3 + 1/231*m**7 + 5*m. Factor c(o).
2*o*(o + 1)**4/11
Let u be (44/(-12) - -3)/((-3)/27). Suppose -u*a = -17 - 1. Factor 0*f**a + 0 + 1/3*f**2 + 0*f - 1/3*f**4.
-f**2*(f - 1)*(f + 1)/3
Let j be (2 - 1/(-3)) + 1/(-3). Factor -123*z - 2*z**j + 3*z**2 + 24 + 115*z - 8.
(z - 4)**2
Let c(a) be the second derivative of 0*a**3 - 1/24*a**4 + 0*a**2 - 15*a + 0 + 1/120*a**6 - 1/80*a**5. Factor c(q).
q**2*(q - 2)*(q + 1)/4
Find h, given that -500/3*h - 15*h**3 - 140*h**2 - 160/3 = 0.
-8, -2/3
Let p(z) be the first derivative of 1/7*z**4 - 74/21*z**3 - 5 + 180/7*z**2 - 162/7*z. Let p(o) = 0. Calculate o.
1/2, 9
Let j be ((-4)/5)/(1/(-45)). Solve -356*b - 51*b**2 - 588 - 3*b**3 - 163*b - j*b**2 - 153*b = 0.
-14, -1
Let z(c) be the third derivative of c**5/80 - 15*c**4/32 - 13*c**2. Solve z(v) = 0 for v.
0, 15
Let u(i) be the first derivative of i**4/15 + 4*i**3/5 + 18*i**2/5 + 33*i + 14. Let h(w) be the first derivative of u(w). Factor h(n).
4*(n + 3)**2/5
Let v(c) = -c**4 - c**3 + c**2. Let n(q) = 7*q**4 - 32*q**3 + 23*q**2 - 3*q. Let d(r) = n(r) - 5*v(r). Suppose d(m) = 0. Calculate m.
0, 1/4, 1
Let y(l) be the third derivative of -1/12*l**5 + 0 - 11*l**2 + 0*l - 5/6*l**3 + 5/12*l**4. Factor y(o).
-5*(o - 1)**2
Let c(z) be the third derivative of -4*z**2 - 1/60*z**5 - 2/3*z**3 + 0 + 0*z + 1/6*z**4. Factor c(r).
-(r - 2)**2
Let o = -37 - -37. Suppose o = 5*c - 2*c - 6, 0 = 4*w + 5*c - 10. Factor 0 + w*x**2 + 0*x + 2/5*x**3 + 2/5*x**5 + 4/5*x**4.
2*x**3*(x + 1)**2/5
Let p(v) = 13*v**5 + 19*v**4 + v**3 - 19*v**2 + 7. Let l(c) = -6*c**5 - 9*c**4 + 9*c**2 - 3. Let h(b) = -7*l(b) - 3*p(b). Factor h(t).
3*t**2*(t - 1)*(t + 1)*(t + 2)
Let u(l) be the second derivative of 1/60*l**6 - 15*l + 0 + 0*l**2 + 1/84*l**7 - 1/6*l**3 - 5/24*l**4 - 3/40*l**5. Solve u(t) = 0.
-1, 0, 2
Let q be 2 + 5 - 6 - (-17)/(-18). Let z(s) be the second derivative of -4/9*s**2 + 0 + 0*s**3 - 5*s - 1/90*s**5 + q*s**4. Find f, given that z(f) = 0.
-1, 2
Let c(l) be the second derivative of -l**4/36 - l**3/6 + 28*l - 2. Solve c(j) = 0.
-3, 0
Factor -88/3*y - 28/3 - 4*y**2.
-4*(y + 7)*(3*y + 1)/3
Let f(s) be the third derivative of s**8/11200 + s**7/700 + 3*s**6/400 - s**4/6 + 23*s**2. Let z(t) be the second derivative of f(t). Find g such that z(g) = 0.
-3, 0
Suppose 3*g - 6 = -0*g. Let n(m) = 2*m - 1. Let d be n(g). Find x, given that 6*x**3 + 29*x - 3*x**3 - 35*x - d*x**2 = 0.
-1, 0, 2
Suppose 3*y = 5*v - 123 + 2, 3*y - 61 = -2*v. Let f = -179/7 + v. Factor f*j + 0 + 3/7*j**2.
3*j*(j + 1)/7
Let t be (-1)/3*42/(-4). Let h = -39281/2 + 19643. Solve 1/2*x**4 + h*x**3 + 1 + 9/2*x**2 + t*x = 0 for x.
-2, -1
Let g(s) be the first derivative of -3*s**5/5 - 15*s**4/4 - 4*s**3 - 137. Factor g(x).
-3*x**2*(x + 1)*(x + 4)
Let p(u) be the second derivative of -u**7/42 - 2*u**6/15 - u**5/20 + u**4/2 + 7*u - 1. Factor p(k).
-k**2*(k - 1)*(k + 2)*(k + 3)
Let w(f) = 15*f**3 - 1851*f**2 - 370881*f - 25096281. Let b(x) = 3*x**3 - 4*x**2. Let g(n) = -6*b(n) + w(n). Let g(p) = 0. Calculate p.
-203
Let u = -6081/11 + 18287/33. Let x be (6 + -1)*(-4)/(-10). Factor 0*j**x + 2/3*j**4 + u*j - 4/3*j**3 - 2/3.
2*(j - 1)**3*(j + 1)/3
Let m(n) be the third derivative of -n**5/45 - 7*n**4/18 - 8*n**3/3 - 3*n**2 - 6. Factor m(k).
-4*(k + 3)*(k + 4)/3
Let y(j) be the third derivative of 2*j**7/105 + 7*j**6/30 + 3*j**2 - 37*j. What is v in y(v) = 0?
-7, 0
What is t in 4/3*t**4 - 44/3*t**5 + 76/3*t**2 + 0 + 44*t**3 - 8/3*t = 0?
-1, 0, 1/11, 2
Let y(i) = 14*i + 16*i - 3 - 3*i**3 + i**2 + 2 - 29*i. Let w(x) = x. Let v(h) = -4*w(h) - 2*y(h). Suppose v(d) = 0. What is d?
-1, 1/3, 1
Suppose -1/3*a**2 - 1/6*a**4 + 4/3*a + 0 - 5/6*a**3 = 0. Calculate a.
-4, -2, 0, 1
Let f be (-1 + (-83)/(-84))*96/(-96). Let v(r) be the second derivative of -1/14*r**2 + 0 - 1/42*r**3 + f*r**4 - 4*r + 1/140*r**5. Factor v(j).
(j - 1)*(j + 1)**2/7
Let z(s) be the second derivative of -8*s**2 + 0 + 40/3*s**3 + 11*s - 3*s**4. Solve z(n) = 0.
2/9, 2
Let a(w) be the third derivative of -w**3 + 1/1260*w**6 - w**2 + 0 + 0*w**4 - 1/420*w**5 + 0*w. Let v(j) be the first derivative of a(j). Factor v(z).
2*z*(z - 1)/7
Let b(d) be the first derivative of 3*d**5/20 - 159*d**4/4 + 2913*d**3 - 16536*d**2 + 32448*d + 125. What is x in b(x) = 0?
2, 104
Suppose 0 = 4*a - k + 2*k - 46, -k - 2 = 0. Suppose -5*j - 3*r + 36 = r, r = 4*j - a. Solve 3*f**2 + j*f - 5*f**2 - 3 - 2 + 11 = 0 for f.
-1, 3
Let i(u) be the second de