, -1, 1
Let r(p) be the second derivative of 6*p + 0 - 1/40*p**5 - p**2 + 1/3*p**3 + 1/24*p**4. Solve r(d) = 0.
-2, 1, 2
Let k(h) be the second derivative of -1/6*h**4 - 2*h + 0 + 7/3*h**3 - 6*h**2. Factor k(s).
-2*(s - 6)*(s - 1)
Let n(z) be the third derivative of -5*z**6/24 + 23*z**5/6 - 165*z**4/8 + 15*z**3 + z**2 - 241*z. What is y in n(y) = 0?
1/5, 3, 6
Suppose -7*q + 71 + 71 - 142 = 0. Factor -3*f**3 + 0*f + 9/5*f**4 + q + 6/5*f**2.
3*f**2*(f - 1)*(3*f - 2)/5
Let z(k) be the third derivative of k**5/60 + k**4/12 - 4*k**3/3 + 244*k**2. Solve z(o) = 0 for o.
-4, 2
Let r(i) be the third derivative of i**6/360 + i**5/20 + i**4/3 - 28*i**3/3 + 3*i**2 + 11. Let m(x) be the first derivative of r(x). Solve m(v) = 0.
-4, -2
Let y(h) be the first derivative of -h**4/20 - 11*h**3/3 - 364*h**2/5 + 784*h/5 + 343. Determine w so that y(w) = 0.
-28, 1
Let m(q) be the second derivative of q**5/12 - 5*q**4/12 - 13*q**2/2 + 7*q. Let r(g) be the first derivative of m(g). Factor r(b).
5*b*(b - 2)
Suppose 40*l = 98*l - 46*l. Let p(q) be the first derivative of -1 + 13/2*q**4 + l*q + q**2 + 24/5*q**5 + 4/3*q**6 + 4*q**3. Find r such that p(r) = 0.
-1, -1/2, 0
Let w be 3 - 1/((-18)/165). Suppose 4*l - 12 = 0, -4*l - 3 + 0 = -5*m. Suppose -2/3 - w*u**2 - 17/6*u**m + 77/6*u**4 - 16/3*u + 49/6*u**5 = 0. What is u?
-1, -2/7, 1
Factor 682 - 9*k**3 - 341 + 12*k - 341 + 3*k**4.
3*k*(k - 2)**2*(k + 1)
Let h be (0/5 - 3) + 3. Let j(r) be the second derivative of -6*r + 1/2*r**4 + h + 0*r**2 - 1/5*r**6 - 1/14*r**7 + 0*r**5 + 1/2*r**3. Factor j(a).
-3*a*(a - 1)*(a + 1)**3
Let m be 219/73*(-1)/(-1). Let h(l) be the first derivative of -2/9*l**m + 0*l**2 + 5 + 0*l + 5/18*l**6 + 3/4*l**4 - 4/5*l**5. Factor h(k).
k**2*(k - 1)**2*(5*k - 2)/3
Let d = -19 - -23. Let l(y) = -y**3 - 5*y**2 - 7*y - 3. Let k be l(-3). Let -2/9*t**2 + 0*t + 0 + k*t**3 + 2/9*t**d = 0. What is t?
-1, 0, 1
Let h(t) = 12*t**4 - 20*t**3 - 32*t**2 + 32*t. Let n(a) = a**4 - a**3 - a**2. Let p(j) = h(j) - 8*n(j). Factor p(q).
4*q*(q - 4)*(q - 1)*(q + 2)
Suppose -4 + 28 + 5*l**2 + 6 - 8*l - 17*l = 0. Calculate l.
2, 3
Let v(o) be the third derivative of -o**8/224 - 3*o**7/35 - 3*o**6/8 - 7*o**5/10 - 9*o**4/16 - 30*o**2 - 1. Factor v(s).
-3*s*(s + 1)**3*(s + 9)/2
Let a(v) be the second derivative of 5*v**7/84 - 2*v**6/3 + 15*v**5/8 + 5*v**4/6 - 25*v**3/3 + 12*v - 9. Find t such that a(t) = 0.
-1, 0, 2, 5
Let m be (4/3 - (-4368)/(-4212))*6/8. Find i, given that 10/9*i**3 + 0 - 8/9*i**4 - 4/9*i**2 + m*i**5 + 0*i = 0.
0, 1, 2
Let a = 42/85 + 7481/170. Let x = a - 44. Factor 0*k**2 - x*k - 1/4*k**4 + 1/4 + 1/2*k**3.
-(k - 1)**3*(k + 1)/4
Let s(o) be the second derivative of -1/20*o**5 + 0 + 1/3*o**4 - 19*o + 5/6*o**3 + 0*o**2. Solve s(d) = 0.
-1, 0, 5
Let m(g) be the second derivative of g**4/3 + g**3/2 - g**2 - 2*g. Let t be m(1). Factor 2*z**5 + 2*z**2 + 5*z**2 - 4*z + 2*z**t - 8*z**4 + z**2.
4*z*(z - 1)**3*(z + 1)
Suppose u + 159 = 54*u. Let 2/3*q**u - 1/3*q + 1/3*q**4 - 2/3*q**2 - 1/3*q**5 + 1/3 = 0. Calculate q.
-1, 1
Let i(o) = -3*o**3 - 18*o - 5. Let g(x) = -x**3 - 1. Let t(p) = -10*g(p) + 2*i(p). Let t(r) = 0. What is r?
-3, 0, 3
Let v = 504 + -334. Let w = 1192/7 - v. Find x such that -w*x**3 + 2/7*x + 0 + 0*x**2 = 0.
-1, 0, 1
Let m = 1211/4 + -287. Let h = m + -31/2. Factor 0 - 1/2*g**2 + 1/4*g + h*g**3.
g*(g - 1)**2/4
Let f = -529 + 532. Let z(b) be the third derivative of -1/60*b**5 + 0 - 1/8*b**4 - 2*b**2 + 0*b**f + 0*b. Find n, given that z(n) = 0.
-3, 0
Let g be ((-27)/(-24))/((-81)/(-864)). Let o(m) be the first derivative of -2/15*m**5 + 0*m**3 + 0*m**4 + 0*m + 0*m**2 - g. Let o(a) = 0. What is a?
0
Let u(h) be the second derivative of 0 + 27*h + 1/2*h**3 + 1/12*h**4 + h**2. Factor u(w).
(w + 1)*(w + 2)
Suppose 6*s + 32 = 14*s. Solve -55*y + 2*y**2 + 52*y - 3*y**4 + 3*y**3 + y**2 + 0*y**s = 0.
-1, 0, 1
Factor -174*m + 11 - 56 + 5*m**2 + 134*m.
5*(m - 9)*(m + 1)
Let u(s) be the third derivative of s**6/100 + 77*s**5/50 + 151*s**4/20 + 15*s**3 - 3*s**2 - 28*s. Suppose u(n) = 0. Calculate n.
-75, -1
Factor 5*g - 84 + g**3 - 108*g**2 - 101 + 0*g**3 + 293*g**2 - 6*g**3.
-5*(g - 37)*(g - 1)*(g + 1)
Let v = 36 + -24. Let c be 1*v/8*2. Suppose 2 - q + 2 + 4*q**c - q**2 - 3*q - 3*q**2 = 0. What is q?
-1, 1
Let g(u) be the first derivative of u**6/10 - 12*u**5/25 - 9*u**4/5 + 32*u**3/5 + 96*u**2/5 - 226. Let g(a) = 0. What is a?
-2, 0, 4
Let t(n) be the third derivative of -n**5/720 + n**4/16 - 4*n**3/9 + 33*n**2 - 2*n. Factor t(r).
-(r - 16)*(r - 2)/12
Let y(m) be the second derivative of -m**4/3 + 44*m**3/3 - 242*m**2 + 3*m + 6. Suppose y(f) = 0. Calculate f.
11
Factor 20*b**3 - 544*b**2 - 56 - 484*b - 82*b**3 - 113*b**3 - 504*b**2 + 35*b**3.
-4*(b + 7)*(5*b + 1)*(7*b + 2)
Suppose -2*m - 14*m - 5*m + 4*m = 0. What is i in 2/3*i**3 + 2/3*i**2 + m*i + 0 - 4/3*i**4 = 0?
-1/2, 0, 1
Let k(m) be the second derivative of -2*m**7/21 - m**6/30 + 9*m**5/20 + m**4/12 - 5*m**3/6 + m + 172. Let k(i) = 0. Calculate i.
-5/4, -1, 0, 1
Let c = 10 + -15. Let w(l) = -4*l**3 + 4*l**2 + 5*l. Let u(n) = 3*n**3 - 3*n**2 - 4*n. Let h(s) = c*u(s) - 4*w(s). Factor h(i).
i**2*(i - 1)
Let x(u) be the first derivative of u**4/2 + 8*u**3/3 - 19*u**2 + 28*u + 97. Determine d, given that x(d) = 0.
-7, 1, 2
Let d(q) be the third derivative of -q**5/12 - 5*q**4/4 + 40*q**3/3 - 103*q**2. Factor d(t).
-5*(t - 2)*(t + 8)
Let j(n) = -9 - 10*n - 3*n**3 + 6*n - 2*n + 2*n**2 + 3*n**2. Let k(b) = 4*b**3 - 7*b**2 + 9*b + 13. Let u(m) = -7*j(m) - 5*k(m). Factor u(p).
(p - 2)*(p + 1)**2
Solve -8 - 4*u**2 + 12*u**3 - 28*u**3 + 14*u + 6*u**3 + 8*u**3 = 0.
-4, 1
What is k in 4*k - 3*k**4 - 2*k**5 - 6*k**2 - 2*k**3 + 23 + 9*k**4 - 23 = 0?
-1, 0, 1, 2
Let t(r) be the second derivative of r**5/70 - 3*r**4/14 - r**3 - 11*r**2/7 + 15*r + 4. Solve t(g) = 0 for g.
-1, 11
Let f be (((-65)/(-10))/(-13))/(2/(-10)). Let k(q) be the second derivative of 3*q**2 + 0 + f*q**3 + q**4 + 3/20*q**5 + 9*q. Suppose k(a) = 0. Calculate a.
-2, -1
Let i(g) = -4*g**4 - 34*g**3 + 107*g**2 - 32*g - 660. Let n(a) = a**4 + 3*a**3 - a**2 + 4. Let s(r) = 2*i(r) + 10*n(r). Solve s(v) = 0 for v.
-2, 5, 8
Let -4/7*d**3 - 2*d**2 + 2/7*d**4 + 0 - 8/7*d = 0. What is d?
-1, 0, 4
Let m(f) be the second derivative of -1/90*f**4 - 16/315*f**7 + 7/150*f**5 + 0*f**2 + 4*f + 0 + 0*f**3 - 8/225*f**6. Determine w so that m(w) = 0.
-1, 0, 1/4
Let w(o) = -o**4 + o**3 - o - 1. Let n(i) = 13*i**4 + 79*i**3 + 44*i**2 - 23*i + 1. Suppose -3 + 7 = 4*q. Let a(z) = q*n(z) + w(z). Let a(p) = 0. Calculate p.
-6, -1, 0, 1/3
Let l(p) = p**2 - 31*p + 84. Suppose 5*m - 8*m + 53 = 2*d, 0 = -4*m - 4. Let n be l(d). Factor 0*i**3 + 2/7*i**5 + n + 4/7*i**2 - 4/7*i**4 - 2/7*i.
2*i*(i - 1)**3*(i + 1)/7
Let 0 + 15*b + 15*b**3 - 5/2*b**4 - 55/2*b**2 = 0. What is b?
0, 1, 2, 3
Let s(h) be the third derivative of -h**6/60 + h**5/5 + 4*h**4/3 + 10*h**2 + 1. Find y such that s(y) = 0.
-2, 0, 8
Let r(b) be the third derivative of -b**5/270 + b**4/6 - 17*b**3/27 - 836*b**2. Suppose r(l) = 0. What is l?
1, 17
Let r = -1333 - -1337. Determine y so that 2/5*y**r - 2/5*y**2 + 0*y**3 + 0 + 0*y = 0.
-1, 0, 1
Let o(m) be the first derivative of -m**5/5 - 35*m**4/4 - 22*m**3 - 714. Solve o(v) = 0 for v.
-33, -2, 0
What is s in 7*s**2 + 8*s + 24*s - 5*s**2 + 30 = 0?
-15, -1
Let v(l) = 10*l**5 - 12*l**4 - 18*l**3 - 8*l**2 + 12. Let w(g) = g**5 + 1. Let y(n) = -v(n) + 12*w(n). Solve y(r) = 0 for r.
-4, -1, 0
Let f = 63 + -59. Suppose -x = -0*d + f*d, 2*x + d = 0. Factor x - 2/3*w**4 + 2/3*w + 2*w**3 - 2*w**2.
-2*w*(w - 1)**3/3
Let o(b) be the first derivative of 3*b**5/5 - 15*b**4/4 - 6*b**3 - 123. Factor o(t).
3*t**2*(t - 6)*(t + 1)
Let t = 17 - 15. Let h be 2/(t - 16/12). Suppose 4*b**3 + 8*b**2 + 4*b**3 - 4*b**h + 0*b**3 = 0. What is b?
-2, 0
Let v(s) = -26*s**2 + 106*s + 30. Suppose 3*d - 17 = -x, -7 = -d - 2. Let z(n) = 129*n**2 - 531*n - 149. Let h(f) = x*z(f) + 11*v(f). Factor h(b).
-4*(b - 4)*(7*b + 2)
Let v(m) be the first derivative of 32 - 8*m**2 + 0*m + 242/3*m**6 + 176/3*m**3 - 176/5*m**5 - 117*m**4. Solve v(z) = 0 for z.
-1, 0, 2/11, 1
Let x be 2/(-4) - 660/(-264). Suppose 1/3*s**x + 4/3*s + 4/3 = 0. Calculate s.
-2
Let f(l) be the first derivative of 2/17*l**3 + 1/34*l**4 + 2/17*l + 9 + 3/17*l**2. Factor f(n).
2*(n