0, 1/5, 1
Let v(d) be the third derivative of d**7/210 + d**6/40 + d**5/30 + 11*d**2. Find x such that v(x) = 0.
-2, -1, 0
Let k(g) be the second derivative of 16*g**6/165 + 12*g**5/55 - 5*g**4/22 + 2*g**3/33 - 32*g. Factor k(u).
2*u*(u + 2)*(4*u - 1)**2/11
Let v(b) = b + 8. Let j be v(-5). Factor j*c**2 + 5*c**2 - 6*c**2.
2*c**2
Let n(o) be the third derivative of o**7/84 + o**6/80 - o**5/60 - 5*o**2. Factor n(r).
r**2*(r + 1)*(5*r - 2)/2
Suppose y + 0*y = 5. Solve -2 + y*m**2 - 4*m**2 + 3*m**2 - 2*m**2 = 0.
-1, 1
Let y(q) = -q**5 + q**3 + 2. Let u(b) = b**5 + b**2 - 3. Let o(c) = 2*u(c) + 3*y(c). Determine t, given that o(t) = 0.
-1, 0, 2
Let z(a) be the third derivative of -5*a**2 - 4/3*a**3 + 0*a + 0 - 49/60*a**6 + 2*a**4 - 7/10*a**5. Determine u so that z(u) = 0.
-1, 2/7
Let h = 24329/18 - 1352. Let k = h - -8/9. Factor -r + 1/2 + k*r**2.
(r - 1)**2/2
Let c(u) = -2*u**3 - 12*u**2 - 5*u - 3. Let v be c(-6). Let x be 2 - ((-24)/v - -2). Solve -4/9*z**2 - 2/3*z**5 + x*z**4 + 2/9*z**3 + 0 + 0*z = 0 for z.
-2/3, 0, 1
Let g(c) be the first derivative of 2*c**5/5 - c**4/2 - 4*c**3 + 4*c**2 + 16*c + 13. Factor g(h).
2*(h - 2)**2*(h + 1)*(h + 2)
Let d(p) be the third derivative of p**6/720 - p**5/60 + p**4/12 - p**3/2 + 2*p**2. Let j(y) be the first derivative of d(y). Solve j(m) = 0.
2
Suppose -8*z = 889 - 905. Factor v**3 - 3*v**4 + 0 + 5/3*v**z + 1/3*v.
-v*(v - 1)*(3*v + 1)**2/3
Let b(z) be the first derivative of -1/6*z**2 + 0*z - 4 - 1/9*z**3. Factor b(y).
-y*(y + 1)/3
Let q(g) be the first derivative of 0*g**2 + 1 + 2*g - 2/3*g**3. Factor q(b).
-2*(b - 1)*(b + 1)
Let l(d) = d**2 + d - 9. Let w be l(-4). Factor 0*b + 2/3*b**4 + 0*b**w + 0 - 2/3*b**2.
2*b**2*(b - 1)*(b + 1)/3
Let f(d) = 8*d + 11. Let w be f(-7). Let k be (-28)/w + (-4)/18. Let 0*y**2 + 0*y + 0 + 8/5*y**4 - k*y**3 - 6/5*y**5 = 0. What is y?
0, 1/3, 1
Let q(k) = 16*k**3 - 3*k**3 + 11*k + 3*k**2 - 11 + 6*k**2. Let g(h) = -7*h**3 - 5*h**2 - 6*h + 6. Let p(m) = 11*g(m) + 6*q(m). Factor p(d).
d**2*(d - 1)
Let s(m) be the second derivative of m**7/3360 - m**6/360 + m**5/120 + 2*m**3/3 + 4*m. Let d(y) be the second derivative of s(y). Factor d(w).
w*(w - 2)**2/4
Suppose 6*p + 8 = 7*p. Determine r so that -621 + p*r + 160*r**3 + 64*r**4 + 621 + 68*r**2 = 0.
-2, -1/4, 0
Let n(z) = -5*z**2 - 7*z - 6. Let s(j) = 4*j**2 + 6*j + 5. Let q be ((-25)/20)/(1/4). Let k(b) = q*n(b) - 6*s(b). Let k(r) = 0. Calculate r.
0, 1
Suppose 6/7 + 3/7*m**2 - 9/7*m = 0. What is m?
1, 2
Let u(r) = r**3 - r**2 - 1. Let j(o) be the third derivative of o**6/12 - 7*o**5/30 + o**4/6 - 2*o**3/3 - 6*o**2. Let w(t) = j(t) - 4*u(t). Factor w(k).
2*k*(k - 1)*(3*k - 2)
Suppose 7*o - 17 = -3. Suppose -f - 4 = -3*z + 5, 6 = 2*f + o*z. Factor f + 6/5*q**2 + 0*q**3 - 4/5*q - 2/5*q**4.
-2*q*(q - 1)**2*(q + 2)/5
Suppose 0 + 0*r**2 - 3/7*r**3 + 3/7*r = 0. Calculate r.
-1, 0, 1
Let v(w) be the third derivative of -w**6/120 + w**5/40 + w**3 - 8*w**2. Let k(j) be the first derivative of v(j). Solve k(u) = 0.
0, 1
Let j(w) be the first derivative of -w**4/2 + 2*w**3/3 + w**2 - 2*w + 3. Let j(b) = 0. What is b?
-1, 1
Let r be ((-30)/(-120))/(((-55)/(-16))/5). Suppose -2/11*s - r*s**2 + 2/11*s**3 + 4/11 = 0. What is s?
-1, 1, 2
Let r(d) be the second derivative of 6*d + 0*d**2 + 0*d**3 + 0 + 1/48*d**4. Suppose r(o) = 0. What is o?
0
Let l(h) be the second derivative of h**4/72 - h**3/18 - 6*h. Factor l(s).
s*(s - 2)/6
Let p(f) = -4*f**4 - 8*f**3 + 4*f + 2. Let d(a) = -17*a**4 - 33*a**3 + a**2 + 15*a + 7. Let r(q) = -2*d(q) + 9*p(q). Factor r(j).
-2*(j - 1)*(j + 1)**2*(j + 2)
Let d(j) be the third derivative of -j**8/1512 - j**7/945 + j**6/108 + j**5/270 - 2*j**4/27 + 4*j**3/27 - 7*j**2. Solve d(t) = 0 for t.
-2, 1
Suppose -3*b + 6 - 3 = 0, b - 13 = -3*v. Let g(n) be the second derivative of 0*n**2 + 0 - 3*n + 1/6*n**v + 0*n**3. Factor g(h).
2*h**2
Let v(i) be the third derivative of i**7/1260 - i**5/60 + i**4/18 - i**3/6 - 2*i**2. Let m(r) be the first derivative of v(r). Factor m(a).
2*(a - 1)**2*(a + 2)/3
Let r(k) be the third derivative of -2*k**2 + 0*k**6 + 0*k + 1/15*k**5 + 0 - 2/105*k**7 + 0*k**3 + 1/12*k**4 - 1/168*k**8. Factor r(v).
-2*v*(v - 1)*(v + 1)**3
Let q be (-3 + 3)/(4 + 1 - 4). Let o(a) be the first derivative of 0*a**5 + 0*a**2 + q*a**3 - 1/6*a**6 - 3 + 0*a + 1/4*a**4. Solve o(x) = 0.
-1, 0, 1
Let m(i) = -2*i**4 + 5*i**3 - 26*i**2 + 24*i - 15. Let j(u) = u**4 - 2*u**3 + 13*u**2 - 12*u + 8. Let y(s) = 7*j(s) + 4*m(s). Factor y(v).
-(v - 2)**2*(v - 1)**2
Suppose -3*w - 4*v + 2*v = -14, -3*v - 1 = -w. Let g be (-2)/16*2*-2. Factor 1/4*b**2 + 1/4*b**w + 3/4*b**3 - g - 3/4*b.
(b - 1)*(b + 1)**2*(b + 2)/4
Let k be 2 - 1 - 42/49. Let w(i) be the second derivative of 1/42*i**4 + i - k*i**2 - 1/21*i**3 + 1/70*i**5 + 0. Factor w(o).
2*(o - 1)*(o + 1)**2/7
Suppose 0 = 3*x - 19 - 23. Let v = -10 + x. Factor 2*m**2 - 2*m**4 - v*m**2 - m - 2*m**2 - 5*m**3.
-m*(m + 1)**2*(2*m + 1)
Factor 1/2*b**3 + 0 + 6*b**2 + 18*b.
b*(b + 6)**2/2
Let q be (-1 - (4 - 21)) + 4. Let c be 0*2/(q/(-5)). Factor -2/5*b**3 + 0 + c*b + 2/5*b**2.
-2*b**2*(b - 1)/5
Factor -3*l**3 - 12*l**4 + 20*l**4 + 12*l + 5*l**2 + 4*l**5 - 13*l**3 - 13*l**2.
4*l*(l - 1)**2*(l + 1)*(l + 3)
Let x(a) = 2*a**3 - 6*a**2 + 2. Let r(n) = -3*n**3 + 7*n**2 - n - 3. Let k(d) = -3*r(d) - 4*x(d). Factor k(f).
(f + 1)**3
Let i = -4551 + 86499/19. Let j = i + -172/133. Factor 0 - j*k**5 + 0*k**4 + 4/7*k**3 + 0*k**2 - 2/7*k.
-2*k*(k - 1)**2*(k + 1)**2/7
Let c = 5 - 3. Suppose 4/3 - c*p + 2/3*p**2 = 0. What is p?
1, 2
Let n(a) be the third derivative of -a**7/210 - a**6/160 + 3*a**5/80 - a**4/48 + a**2. Factor n(t).
-t*(t - 1)*(t + 2)*(4*t - 1)/4
Factor 0 - 15 - 2*a + 1 + 2*a**2 - 10.
2*(a - 4)*(a + 3)
Let f(x) be the second derivative of -x**8/3360 + x**7/560 - x**6/360 - 5*x**3/3 + 7*x. Let k(q) be the second derivative of f(q). Solve k(b) = 0.
0, 1, 2
Solve 887*x**4 + 10*x**3 - 4 - 889*x**4 - 18*x**2 + 14*x + 0*x = 0 for x.
1, 2
Let g(z) be the second derivative of 0 + 3*z + 0*z**2 - 1/20*z**5 + 1/30*z**6 + 0*z**4 + 0*z**3. Factor g(s).
s**3*(s - 1)
Let z(s) be the second derivative of s**7/14 - 3*s**6/10 + 9*s**5/20 - s**4/4 - 19*s. Factor z(c).
3*c**2*(c - 1)**3
Factor 6*u**3 - 4*u**2 + u**4 + 2*u**2 - 5*u**4.
-2*u**2*(u - 1)*(2*u - 1)
Let h(y) be the first derivative of 2*y**3/15 - y**2/5 - 4*y/5 + 42. Factor h(c).
2*(c - 2)*(c + 1)/5
Let s(b) be the first derivative of 1/12*b**4 - 1 + 2/3*b - 1/6*b**2 - 2/9*b**3. Solve s(l) = 0.
-1, 1, 2
Let a(f) be the second derivative of 2*f**7/105 + 2*f**6/25 + 2*f**5/25 - 14*f. Let a(k) = 0. Calculate k.
-2, -1, 0
Let a(k) be the second derivative of -k**7/21 + k**5/10 - 2*k. Suppose a(b) = 0. Calculate b.
-1, 0, 1
Suppose -3*y + 22 = -8. What is v in -11*v**2 + 8*v**4 - 14*v + 4*v**5 + y*v + 3*v**2 = 0?
-1, 0, 1
Let p(f) be the first derivative of -3 - 1/20*f**5 + 0*f + 1/12*f**3 + 0*f**2 + 1/16*f**4 - 1/24*f**6. Find n such that p(n) = 0.
-1, 0, 1
Suppose 0 = 3*n - 1 - 5. What is c in 13*c**n - 1 - 5*c**2 + 8*c**4 - 2*c**5 - 12*c**3 + 1 - 2*c = 0?
0, 1
Let i(u) be the third derivative of -2/3*u**3 + 1/6*u**5 + 0*u + 0 - 3*u**2 + 1/4*u**4. Factor i(h).
2*(h + 1)*(5*h - 2)
Suppose 0*q = -2*q + 18. Let j be 6/(-9)*q/(-2). Suppose -1/5*n**5 + 0*n - 1/5*n**4 + 1/5*n**j + 1/5*n**2 + 0 = 0. What is n?
-1, 0, 1
Let k(t) be the third derivative of -t**5/100 + 3*t**4/40 + 2*t**3/5 + 15*t**2. Determine f, given that k(f) = 0.
-1, 4
Let d(f) be the first derivative of f**8/2520 + 2*f**3/3 - 2. Let y(k) be the third derivative of d(k). Solve y(v) = 0.
0
Factor -4 - 4*d**2 + 2*d - 22*d - 12.
-4*(d + 1)*(d + 4)
Let g(d) be the second derivative of 9*d**5/20 + 17*d**4/4 + 21*d**3/2 - 27*d**2/2 + 48*d. Suppose g(b) = 0. Calculate b.
-3, 1/3
Let l(y) = -2*y + 6. Let z be l(4). Let h(g) = -g**2 + g - 1. Let i(s) = 8*s**2 - 10*s + 11. Let f(m) = z*i(m) - 18*h(m). Factor f(q).
2*(q - 1)*(q + 2)
Let z(i) = i + 8. Let w be z(-5). Factor 0*t**3 + 2*t + 0*t**w + 4*t**2 - 2*t**3 - 2 - 2*t**2.
-2*(t - 1)**2*(t + 1)
Let y(a) = 5*a - 9. Let o be y(-4). Let h = 33 + o. Let 3/4*g**h + 1/4*g + 0 - 3/4*g**2 - 1/4*g**3 = 0. What is g?
-1, 0, 1/3, 1
Let i be (8/3)/(8/12). Let t(y) be the second derivative of 1/15*y**6 + 0 + 1/6*y**i - 3*y - 1/84*y**7 - 3/20*y**5 - 1/