**3 + 0*s**3 + s**3 - 6 + 9*s - 4*s**3 = 0.
-2, 1
Let z(p) be the third derivative of -1/840*p**6 + 0*p**3 + 0 + 0*p**5 - 1/735*p**7 - 1/2352*p**8 + 6*p**2 + 0*p + 0*p**4. Find j such that z(j) = 0.
-1, 0
Let v(f) be the second derivative of -f**7/112 + 9*f**5/160 - f**4/16 - 22*f. Factor v(t).
-3*t**2*(t - 1)**2*(t + 2)/8
Let f(h) = -2*h + 14. Let q be f(6). Let p(s) be the third derivative of 4*s**q + 0 + 0*s - 2/105*s**5 + 0*s**3 - 1/84*s**4. Factor p(w).
-2*w*(4*w + 1)/7
Let s(h) be the second derivative of 0*h**3 + 0 - 3*h - 3/80*h**5 + 0*h**2 + 0*h**4. Let s(a) = 0. Calculate a.
0
Factor 72/7*s + 6/7*s**3 + 48/7 + 36/7*s**2.
6*(s + 2)**3/7
Let m(c) be the first derivative of -c**5/20 + c**4 - 8*c**3 - c**2 + 7. Let o(j) be the second derivative of m(j). Solve o(a) = 0.
4
Let c(o) = 63*o**4 - 447*o**3 - 377*o**2 + 133*o. Let p(l) = 32*l**4 - 223*l**3 - 188*l**2 + 67*l. Let y(h) = -3*c(h) + 7*p(h). Suppose y(x) = 0. What is x?
-1, 0, 2/7, 7
Let i(f) be the third derivative of -f**8/1008 - f**7/630 + 3*f**2. Suppose i(j) = 0. What is j?
-1, 0
Let d = -140 - -144. Factor 0*o**2 + 0 + 1/6*o**5 + 1/3*o**d + 0*o**3 + 0*o.
o**4*(o + 2)/6
Suppose 4/17*p**3 + 0 - 2/17*p**4 + 6/17*p**2 + 0*p = 0. Calculate p.
-1, 0, 3
Let c(x) = 4*x - 13. Let h be c(4). Let u(k) be the first derivative of -1/2*k**4 + 1 - 8/3*k**h - 4*k - 5*k**2. Factor u(p).
-2*(p + 1)**2*(p + 2)
Suppose 4*j = 4*s - 0*s - 4, -j = 0. Suppose 5 = -r + 4*d, s = r - 3*d + 4. Factor r*t**4 + 0*t - 3/2*t**3 + 0*t**2 - 3/2*t**5 + 0.
-3*t**3*(t - 1)**2/2
Factor -44/5*x + 4/5*x**3 - 16/5*x**2 - 24/5.
4*(x - 6)*(x + 1)**2/5
Suppose 74*l = 60*l + 28. Find a such that -42/5*a + 162/5*a**4 - 54*a**3 + 4/5 + 162/5*a**l = 0.
1/3, 2/3
Let 130*l**2 - 7*l**5 + 68*l**3 + 110*l**4 - 268*l**3 - 8*l**5 - 25*l = 0. Calculate l.
0, 1/3, 1, 5
Let r(c) be the first derivative of 10*c**3 - 7*c**2 - 13/2*c**4 + 1 + 2*c + 8/5*c**5. Solve r(b) = 0.
1/4, 1
Let a be (-1)/(-4) - 171/(-36). Let y(x) be the third derivative of -1/180*x**a + 0 - 2/9*x**3 - 1/18*x**4 + 0*x + x**2. Determine w, given that y(w) = 0.
-2
Suppose -54*f + 4*f = -100. Factor -2/5*s**3 + 2*s - 6/5 - 2/5*s**f.
-2*(s - 1)**2*(s + 3)/5
Let w(c) be the first derivative of -c**7/63 - c**6/45 + c**5/30 + c**4/18 - 3*c + 3. Let x(t) be the first derivative of w(t). Solve x(l) = 0 for l.
-1, 0, 1
Let p = -7 + 12. Suppose 0 + 2 - 8*f - 2*f**3 - 2*f**2 + 5*f**3 + p*f**3 = 0. What is f?
-1, 1/4, 1
Let d(q) be the third derivative of -q**6/480 + q**5/240 - 8*q**2. Factor d(s).
-s**2*(s - 1)/4
Let t(v) be the first derivative of -1/6*v**3 + 3/2*v + 1 - 1/2*v**2. Determine i, given that t(i) = 0.
-3, 1
Let v(d) be the third derivative of -d**5/300 + d**4/30 - 2*d**3/15 - 9*d**2. Let v(g) = 0. What is g?
2
Let b = -4 + 8. Suppose b*g - 5 - 7 = 0. Factor -2/5*v + 2/5*v**4 + 0 - 2/5*v**2 + 2/5*v**g.
2*v*(v - 1)*(v + 1)**2/5
Let r(u) be the third derivative of -u**8/840 - u**7/525 + u**2. Factor r(o).
-2*o**4*(o + 1)/5
Let a(x) = x**3 - 3*x**2 - 3*x - 3. Let p be a(4). Suppose -3*d + 4 = -4*d, -3*f - 10 = 4*d. Suppose 1 - 2 + p - 2*g - f*g**2 = 0. What is g?
-1, 0
Let l(s) = -s**3 + s**2 + s + 1. Let h(w) be the second derivative of 9/10*w**5 - 3/2*w**2 + 0 - 5/2*w**3 - 1/2*w**4 + w. Let z(c) = h(c) + 6*l(c). Factor z(p).
3*(p + 1)*(2*p - 1)**2
Let -28/5 - 24/5*z + 4/5*z**2 = 0. What is z?
-1, 7
Let r = -6/7 + 31/28. Suppose -4*u + u + 9 = 0. Factor 0 - r*s**2 + 0*s + 1/4*s**u.
s**2*(s - 1)/4
Let k(z) be the second derivative of 9*z**5/5 - 3*z**4 - 32*z**3/3 - 8*z**2 + 5*z. Factor k(j).
4*(j - 2)*(3*j + 1)*(3*j + 2)
Suppose 0 = 6*w + 22 - 22. Suppose -1/3*s**3 + 0 + w*s + 1/3*s**2 = 0. What is s?
0, 1
Let b(r) = 16*r**5 - 10*r**4 - r**2 - 5*r. Let i = -1 + 4. Suppose -5 - 13 = -i*q. Let x(f) = -3*f**5 + 2*f**4 + f. Let h(n) = q*b(n) + 33*x(n). Factor h(p).
-3*p*(p - 1)**3*(p + 1)
Let x(k) be the first derivative of 2*k**6/5 - 3*k**5/20 - k**4 + k**3/2 - k + 2. Let t(b) be the first derivative of x(b). Factor t(q).
3*q*(q - 1)*(q + 1)*(4*q - 1)
Let f(r) be the first derivative of -3*r**4/8 - 3*r**3/2 + 6*r - 19. Solve f(a) = 0.
-2, 1
Let u(l) = -l**5 - 2*l**4 - 3*l**3 + 3. Let h(x) = -2*x**5 - 4*x**4 - 5*x**3 + 5. Let q(n) = -6*h(n) + 10*u(n). Factor q(j).
2*j**4*(j + 2)
Suppose 0 - 4/5*s**2 - 2/5*s**3 - 2/5*s = 0. What is s?
-1, 0
Solve 49/3 + 1/3*i**2 - 14/3*i = 0.
7
Let f = 12 + -22. Let k be 2/((-15)/f + 0). Find w such that 2*w**3 + 2/3*w**4 + 2/3*w**2 - 2*w - k = 0.
-2, -1, 1
Let m(l) = -l**2 + 1. Let i(x) = -12*x**2 - 8*x - 5. Let d(o) = -4*i(o) + 44*m(o). Factor d(g).
4*(g + 4)**2
Let u(o) be the second derivative of -5*o**7/42 + o**6/3 - 5*o**4/6 + 5*o**3/6 + o. Let u(x) = 0. What is x?
-1, 0, 1
Let q(f) be the second derivative of -f**5/240 - f**4/96 + f**2 + 3*f. Let l(y) be the first derivative of q(y). Let l(d) = 0. Calculate d.
-1, 0
Suppose 3*o = -7*q + 2*q + 9, 4*o + 20 = 4*q. Factor -3*n**3 + 3*n**3 - 2*n**2 + n**q.
n**2*(n - 2)
Let b(y) be the third derivative of -y**6/780 + y**4/156 - 13*y**2. Factor b(d).
-2*d*(d - 1)*(d + 1)/13
Let u(q) be the third derivative of -1/60*q**4 + 1/300*q**6 + 0*q**5 + 0*q**3 + 0*q + 2*q**2 + 0. Let u(b) = 0. Calculate b.
-1, 0, 1
Let h be 11/22 + (-317)/(-30). Let g = h - 52/5. Solve -2*t**2 + g*t + 4/3*t**3 + 0 = 0 for t.
0, 1/2, 1
Let a = -11 - -14. Factor -1/2*y**a + 0*y**2 + 0*y + y**4 + 0 - 1/2*y**5.
-y**3*(y - 1)**2/2
Let c(h) = -h - 4. Let p be c(-4). Suppose p = 7*u - 8*u + 2. Suppose 2/5 + 4/5*l + 2/5*l**u = 0. Calculate l.
-1
Let q(h) be the third derivative of h**5/60 - h**4/8 + h**3/3 - 5*h**2. Factor q(p).
(p - 2)*(p - 1)
Let y(g) be the second derivative of g**7/105 + g**6/15 + g**5/5 + g**4/3 + g**3/3 + g**2/5 + 7*g. Factor y(v).
2*(v + 1)**5/5
Let r = -1 - -4. Suppose -6 = -r*j + 6. Determine w, given that w**j + 6*w**2 + 8*w**3 + w**4 - 2*w**3 + 2*w = 0.
-1, 0
Let o(h) be the second derivative of -4*h + 0*h**2 - 2/3*h**3 + 0 + 1/6*h**4 + 1/10*h**5. Factor o(r).
2*r*(r - 1)*(r + 2)
Let j(k) be the second derivative of -k**4/8 - 3*k**3/4 - 3*k**2/2 - 2*k. What is z in j(z) = 0?
-2, -1
Let 0 + 0*z + 2/3*z**3 - 2/9*z**4 - 4/9*z**2 = 0. Calculate z.
0, 1, 2
Let l(n) be the second derivative of 3*n**5/160 - n**4/32 + 5*n. Find y, given that l(y) = 0.
0, 1
Let s(o) be the third derivative of o**8/56 - o**7/105 - 3*o**6/20 - o**5/10 + o**4/6 + 2*o**2 + o. Find w such that s(w) = 0.
-1, 0, 1/3, 2
Let a(v) be the first derivative of 3*v**5/35 + 9*v**4/14 + 12*v**3/7 + 15*v**2/7 + 9*v/7 + 11. Factor a(t).
3*(t + 1)**3*(t + 3)/7
Let h(u) = -8*u - 7. Let o be h(-9). Let r = 329/5 - o. Factor 2/5*g**2 + r + 6/5*g.
2*(g + 1)*(g + 2)/5
Let m(v) be the first derivative of -5/28*v**4 + 2/7*v + 3/7*v**3 + 1/35*v**5 + 4 - 1/2*v**2. Factor m(t).
(t - 2)*(t - 1)**3/7
Let o(l) be the second derivative of -l**5/5 - 2*l**4/3 + 14*l**3/3 - 8*l**2 - 15*l. Factor o(m).
-4*(m - 1)**2*(m + 4)
Let h = 22 + -25. Let m(j) = -16*j**3 - 14*j**2 - 30*j - 12. Let p(v) = -5*v**3 - 5*v**2 - 10*v - 4. Let o(c) = h*m(c) + 10*p(c). Let o(x) = 0. Calculate x.
-2, -1
What is m in -14/9*m**2 + 4/9*m + 0 + 14/9*m**4 - 4/9*m**3 = 0?
-1, 0, 2/7, 1
Let n be -1*(2/(-4) - (-5)/12). Let u(m) be the second derivative of 0*m**3 - n*m**4 - m + 0 + 0*m**2. Factor u(o).
-o**2
Let f(y) be the third derivative of 5/1176*y**8 - y**2 + 0*y**4 + 0 + 0*y + 0*y**3 + 1/105*y**6 - 13/735*y**7 + 2/105*y**5. Solve f(v) = 0 for v.
-2/5, 0, 1, 2
Let x(m) be the third derivative of 0 + 1/945*m**7 + 0*m + 5*m**2 + 0*m**6 - 1/1512*m**8 + 0*m**5 + 0*m**3 + 0*m**4. Factor x(y).
-2*y**4*(y - 1)/9
Let j(v) = -2*v**4 + v**3 - 3*v**2 + 2*v + 2. Let n = -41 - -15. Let t(d) = -9*d**4 + 5*d**3 - 13*d**2 + 8*d + 9. Let u(c) = n*j(c) + 6*t(c). Factor u(s).
-2*(s - 1)**3*(s + 1)
Let p(z) = 117*z**3 + z**2 - 1. Let i be p(1). Let v = 821/7 - i. Let 0*d + 0*d**2 + 0 + v*d**3 = 0. Calculate d.
0
Let r(z) be the third derivative of 3*z**7/14 - 11*z**6/40 - 2*z**5/5 + z**4/2 - 23*z**2. Solve r(b) = 0 for b.
-2/3, 0, 2/5, 1
Suppose 13 = x + 3. Factor -x*u**3 - 7*u**2 + u**3 - 4*u**2 - 3*u**4 - 3*u + 2*u**2.
-3*u*(u + 1)**3
Let f(m) be the first derivative of 1/3*m - 1/2*m**2 - 6 - 4/9*m**3. Factor f(t).
-(t + 1)*(4*t - 1)/3
Suppose -3 = -2*s - q, 3 = 5*s + 3*q - 3. What is y in 