70 + f**6/40 - f**5/60 - 202*f**2. Determine o so that h(o) = 0.
0, 1
Let z be -1 + 565/300 + (-3)/4. Let i(c) be the first derivative of -1/5*c**2 + 0*c + z*c**3 + 1/10*c**4 + 1 - 2/25*c**5. Factor i(t).
-2*t*(t - 1)**2*(t + 1)/5
Let y(l) = -l**3 + 2*l**2 + 5*l - 4. Let h be y(3). Let a**2 + a**h + 5 - 7 = 0. What is a?
-1, 1
Let x = -19/136 + 87/136. Let q(f) be the first derivative of -1/6*f**3 + 6 + x*f - 1/8*f**4 + 1/4*f**2. Let q(t) = 0. Calculate t.
-1, 1
Let j(l) = -3*l**2 + 6*l. Let w = -83 - -80. Let z(c) = 3*c**2 - 6*c. Let s(g) = w*z(g) - 4*j(g). Solve s(x) = 0.
0, 2
Suppose 1 = -7*y + 27 - 5. Solve 1/3*h**4 + 2*h**3 + y*h**2 + 0 + 4/3*h = 0 for h.
-4, -1, 0
Let n(q) be the second derivative of -q**6/8 - 5*q**5/12 + 5*q**4/6 + 10*q**3/3 - 13*q**2/2 - 4*q. Let s(o) be the first derivative of n(o). Factor s(h).
-5*(h - 1)*(h + 2)*(3*h + 2)
Let s(p) be the first derivative of 27*p**5/40 - 9*p**4/8 + 3*p**3/4 - p**2/4 + 3*p + 7. Let v(y) be the first derivative of s(y). Factor v(b).
(3*b - 1)**3/2
Let l = -18 - -15. Let i be l/((-21)/2) - 576/(-630). Factor -2/5 - 2/5*d**3 - 6/5*d**2 - i*d.
-2*(d + 1)**3/5
Let r(d) = 179*d - 6265. Let p be r(35). Factor p + 4/7*k**2 + 0*k.
4*k**2/7
Let y be (-67)/(-10) + (-18)/(-36) - 7. Let y*r - 1/5*r**2 + 2/5 = 0. What is r?
-1, 2
Factor 30*r + 45/4*r**2 + 5/4*r**3 + 25.
5*(r + 2)**2*(r + 5)/4
Let w be 3/6 + 196/(-8). Let i be 2*(-4)/w*6. Find a, given that -3*a**5 - 4*a**i + 3*a**3 + a**2 - 3*a**2 + 6*a**3 = 0.
-2, 0, 1
Let j(o) be the third derivative of 0*o + 1/96*o**4 + 27*o**2 - 1/240*o**5 + 0 + 0*o**3. Factor j(r).
-r*(r - 1)/4
Let t be (4 + -12 - -8)*1/4. Let f(i) be the second derivative of 4/5*i**2 - 1/15*i**4 - 3*i + 2/15*i**3 + t. Factor f(a).
-4*(a - 2)*(a + 1)/5
Let h(i) be the first derivative of i**4/3 + 16*i**3/3 + 32*i**2 - 2*i - 20. Let d(l) be the first derivative of h(l). Factor d(p).
4*(p + 4)**2
Let l(y) be the third derivative of -5*y**8/336 + 5*y**7/42 + y**6/24 - 5*y**5/12 - 254*y**2. Solve l(b) = 0.
-1, 0, 1, 5
Factor 128*k + 39 - 3*k**2 + 11*k**2 - 20*k**3 + 7*k**2 - 3*k**2 + 9.
-4*(k - 3)*(k + 2)*(5*k + 2)
Let w be (1/10)/(2/4) - 119/(-1105). Solve 0 - 14/13*n**4 + 14/13*n**2 + 12/13*n**3 - w*n - 8/13*n**5 = 0.
-2, -1, 0, 1/4, 1
Let a(v) be the third derivative of v**5/36 - 5*v**4/24 + 5*v**3/9 + 291*v**2. Factor a(g).
5*(g - 2)*(g - 1)/3
Let y be 4/(-7) - 125/(-35). Let -13*w + 24*w - 5*w**2 - y - 4*w + w**3 = 0. Calculate w.
1, 3
Suppose -283 - 57 = -5*w. Suppose 5*t - 151 = -4*z, -3*t + w = 2*z + t. Find x such that -108*x - z*x**2 - 47*x**3 - 64*x**2 + 8*x**5 - 68*x**4 + 227*x**3 = 0.
-1/2, 0, 3
Suppose 3*p + 2*f - f - 24 = 0, -p = -5*f - 8. Suppose 0 = -p*r + 26 + 6. Factor 0*y - 1/7*y**r + 0*y**3 + 0 + 1/7*y**2.
-y**2*(y - 1)*(y + 1)/7
Let z(y) = y**3 - 4*y**2 - 3*y + 4. Let r be z(4). Let o = r - -10. Suppose -u + 2*u**2 + o*u**2 + 3*u + 0*u - 2 = 0. Calculate u.
-1, 1/2
Let r(y) be the third derivative of -y**8/96 + 3*y**7/140 + y**6/6 - y**5/3 - y**4 + 4*y**3/3 + 18*y**2 - y. Solve r(x) = 0.
-2, -1, 2/7, 2
Let h(o) be the third derivative of 0 - 1/10*o**5 + 1/8*o**4 + 0*o + 0*o**3 + 1/40*o**6 - 5*o**2. Factor h(s).
3*s*(s - 1)**2
Let n(f) be the first derivative of f**8/336 - f**6/40 + f**5/30 - 13*f**2/2 - 14. Let m(x) be the second derivative of n(x). Solve m(y) = 0 for y.
-2, 0, 1
What is n in 66049/2 - 257*n + 1/2*n**2 = 0?
257
Let u be 16*20/(-48)*-3. Factor 9*p + 2*p - 51*p - 15*p**2 - u.
-5*(p + 2)*(3*p + 2)
Let c(a) = a**3 + 6*a**2 - 2*a + 2. Let q be 3/9 - 30/9. Let g be c(q). Factor g*s**3 - 48*s**5 + 37*s**3 + 21*s**5 + 64*s**2 + 16*s.
-s*(s - 2)*(3*s + 2)**3
Let l(a) be the first derivative of -4*a**3/3 + 36*a - 148. Let l(m) = 0. Calculate m.
-3, 3
Let n be (22/(-56) - (-48)/112)*2. Let x(r) be the second derivative of 0 + 7*r + 0*r**2 + 1/84*r**4 + n*r**3. Let x(z) = 0. What is z?
-3, 0
Let b = 298/663 - -8/663. Factor 4/13*d**2 - b*d + 6/13*d**3 - 4/13.
2*(d - 1)*(d + 1)*(3*d + 2)/13
Find g such that 3/4*g + 1/8*g**2 + 9/8 = 0.
-3
Let x(r) be the first derivative of r**6/90 + r**5/60 + 40*r**3/3 - 43. Let o(v) be the third derivative of x(v). Factor o(s).
2*s*(2*s + 1)
Factor -5*h**2 - 35*h**4 + 32*h**4 - 7*h**2 + 12*h**3.
-3*h**2*(h - 2)**2
Let y(n) be the second derivative of -n**7/3780 + n**6/405 - n**5/135 - n**4 - 10*n. Let m(s) be the third derivative of y(s). Factor m(b).
-2*(b - 2)*(3*b - 2)/9
Let a = 229/17255 - -1/986. Let z(i) be the second derivative of 2*i + a*i**5 + 1/7*i**3 - 1/7*i**2 - 1/14*i**4 + 0. Factor z(s).
2*(s - 1)**3/7
Let b(l) be the second derivative of -9*l**5/32 - l**4 - 19*l**3/16 - 3*l**2/8 - 37*l + 2. Solve b(u) = 0 for u.
-1, -2/15
Let t(p) be the third derivative of p**8/84 - 4*p**7/35 + 3*p**6/10 - 4*p**5/15 - 2*p**2 - 3*p. Solve t(j) = 0.
0, 1, 4
Let x = 6802/371 + -18/371. Factor 2/7*c**2 - 32/7*c + x.
2*(c - 8)**2/7
Let p(z) be the second derivative of z**3/6 - 10*z. Let v be p(4). Let -2/3*t**v + 0*t + 4/3*t**3 + 0*t**2 + 0 = 0. What is t?
0, 2
Let m(t) = 2*t**2 - 2*t. Let v(s) = 15*s**2 - 24*s - 12. Let b(j) = -24*m(j) + 3*v(j). Factor b(a).
-3*(a + 2)*(a + 6)
Let a = -942 + 2827/3. Factor 0 - 1/3*s**2 - 1/3*s**3 + 1/3*s + a*s**4.
s*(s - 1)**2*(s + 1)/3
Let g(n) = 3*n**4 + 3*n**3 - 22*n**2 + 16*n - 4. Let j(s) = 4*s**4 + 2*s**3 - 22*s**2 + 16*s - 6. Let r(a) = -3*g(a) + 2*j(a). Factor r(d).
-d*(d - 2)*(d - 1)*(d + 8)
Suppose -8*a + 20 = -3*a. Suppose -a*o - o - 5*f + 40 = 0, -3*o - 5*f + 28 = 0. Determine d, given that 5*d**2 - o*d**2 + 3*d**2 - 4*d = 0.
0, 2
Suppose 2*q = -2*r + 8, -4*q - 5 = -1. Suppose 0 = -0*g + g - r. Find b, given that -4*b**5 - 6*b**2 + 6*b**4 + b**g + 0*b**5 + 3*b = 0.
-1, 0, 1
Let p(m) = 76*m**2 + 428*m + 860. Suppose 0 = -u - 5*v + 16, 0*v + 6 = 2*v. Let q(f) = -f**3 + f**2 - f - 1. Let t(h) = u*p(h) - 4*q(h). Factor t(a).
4*(a + 6)**3
Let h be (-18588)/3098*(0 - (-2)/(-72)). Factor h*y**2 + 0 + 1/3*y.
y*(y + 2)/6
Let t(x) be the second derivative of -x**3 + 0 - 7/10*x**6 - 3/4*x**4 + 3*x + 0*x**2 + 9/5*x**5. Factor t(j).
-3*j*(j - 1)**2*(7*j + 2)
Let d(y) be the first derivative of -12 + y**2 - 1/15*y**6 - 2/5*y**4 - 4/5*y - 4/15*y**3 + 8/25*y**5. Determine j so that d(j) = 0.
-1, 1, 2
Let o(t) be the first derivative of -t**7/84 + t**6/30 - t**5/40 + 45*t + 11. Let z(k) be the first derivative of o(k). Factor z(r).
-r**3*(r - 1)**2/2
Let z be 68/51*3/(-866). Let l = 3458/1299 - z. Determine k so that l + 4/3*k - 22*k**2 + 59/3*k**3 - 14/3*k**4 = 0.
-2/7, 1/2, 2
Let l = 616 - 3068/5. Factor -l*x**2 + 6/5*x**5 + 24/5*x**3 + 0 + 2/5*x - 4*x**4.
2*x*(x - 1)**3*(3*x - 1)/5
Let s(h) = -52*h**2 + 62*h - 24*h**2 - 42 + 10 - 238*h. Let u(f) = 7*f**2 + 16*f + 3. Let o(r) = -3*s(r) - 32*u(r). Determine y, given that o(y) = 0.
-4, 0
Let f(r) be the second derivative of -r**4/126 - r**3/9 - 2*r - 6. Factor f(q).
-2*q*(q + 7)/21
Factor -640 - 2/5*q**2 + 32*q.
-2*(q - 40)**2/5
Let r(o) = o**2 + 5*o. Let g(u) = 4*u**2 + 20*u - 3. Let c(b) = 2*g(b) - 9*r(b). Find w, given that c(w) = 0.
-3, -2
Let p(k) = -22*k**3 - 78*k**2 + 10*k + 78. Let t(f) = 9*f**3 + 31*f**2 - 4*f - 31. Let w(l) = -5*p(l) - 12*t(l). Factor w(x).
2*(x - 1)*(x + 1)*(x + 9)
Let c(a) be the first derivative of a**6/3 + 12*a**5 + 55*a**4 + 320*a**3/3 + 105*a**2 + 52*a - 409. Factor c(u).
2*(u + 1)**4*(u + 26)
Find v such that -3/5*v**4 + 0*v**3 + 27/5*v**2 - 12/5*v - 36/5 = 0.
-3, -1, 2
Let z be -2*((-80)/12)/5. Let v(d) be the first derivative of z*d + 46/3*d**3 + 28/3*d**2 - 7 + 10/3*d**5 + 35/3*d**4. Solve v(q) = 0.
-1, -2/5
Factor -2/3*z**3 + 0*z**2 + 0 - 1/6*z**5 + 2/3*z**4 + 0*z.
-z**3*(z - 2)**2/6
Suppose 4*s = 28 - 4. Suppose -5*l = -4 - 11. Factor -s*y**4 + 2*y**3 - y**3 + 2*y**4 + l*y**4.
-y**3*(y - 1)
Let a(i) be the first derivative of -1/4*i**2 - 1/6*i**3 - 11/10*i**5 + 9/8*i**4 + 1/3*i**6 - 27 + 0*i. Solve a(p) = 0.
-1/4, 0, 1
Factor 0*s**2 - 4*s**3 - 27*s**5 - 3*s**3 - 6*s**2 + 28*s**5.
s**2*(s - 3)*(s + 1)*(s + 2)
Let b = 399 - 395. Let q(s) be the first derivative of -3 - b*s**2 + 26/9*s**3 + 2/15*s**5 + 8/3*s - s**4. Solve q(a) = 0 for a.
1, 2
Suppose -11449/4 - 1/4*o**2 + 107/2*o = 0. What is o?
107
Let a(q) be the second derivative of q**7/280 + q**6/120 + 13*q**3/6 + 5*q. Let f(x) be the second derivative