v**2 + b + q + 0*v**2 = 0. Calculate v.
-1, 1
Let r(p) be the second derivative of p**6/1980 - p**5/660 + p**3 + 3*p. Let s(q) be the second derivative of r(q). Find c such that s(c) = 0.
0, 1
Let m(p) = 5*p. Let j be m(4). Suppose 0 = 6*d - d - j. Factor -5*r**4 - 2*r**3 + 2*r**4 + r**3 + 4*r**d.
r**3*(r - 1)
Let m(u) = -u**3 + 7*u**2 + 6*u + 6. Let b(d) = -2*d**3 + 8*d**2 + 5*d + 7. Let y(p) = -2*b(p) + 3*m(p). Factor y(w).
(w + 1)*(w + 2)**2
Let y(l) be the third derivative of l**8/1008 + l**7/315 - l**6/180 - 2*l**5/45 - 7*l**4/72 - l**3/9 + 16*l**2. Factor y(w).
(w - 2)*(w + 1)**4/3
Let m(j) be the first derivative of 1/20*j**4 - 1/10*j**2 + 0*j + 1/25*j**5 - 6 - 1/15*j**3. What is q in m(q) = 0?
-1, 0, 1
Let o = -1 + 1. Let i be ((-4)/10)/(19/(-95)). Factor -a - 3/2*a**4 - 7/2*a**i - 4*a**3 + o.
-a*(a + 1)**2*(3*a + 2)/2
Let s(z) be the second derivative of z**4/4 - 11*z**3/8 - 9*z**2/8 - 3*z. Factor s(k).
3*(k - 3)*(4*k + 1)/4
Let t = -16 + 16. Solve 0*m - 1/3*m**2 + t - 1/3*m**3 = 0.
-1, 0
Suppose -1/4*g**3 + g**2 + 1/2 - 5/4*g = 0. Calculate g.
1, 2
Let s(j) be the second derivative of -j**9/22680 + j**8/3360 - j**7/1260 + j**6/1080 + j**4/6 + 3*j. Let q(u) be the third derivative of s(u). Factor q(l).
-2*l*(l - 1)**3/3
Let b(g) = 19*g**2 - g + 19. Let y(x) = 3*x**2 + x**2 + 2 + 1 - x**2. Let s(d) = -6*b(d) + 39*y(d). Factor s(q).
3*(q + 1)**2
Suppose -2*y**2 + 9 + 4*y**2 + 0*y**2 + y**2 + 15*y - 3*y**3 = 0. What is y?
-1, 3
Let h(l) be the third derivative of -l**7/105 - 7*l**6/60 - 17*l**5/30 - 17*l**4/12 - 2*l**3 + 42*l**2. Factor h(v).
-2*(v + 1)**2*(v + 2)*(v + 3)
Suppose 6*z = z - 160. Let s be 6/(-18) - z/6. Let -1/5*h**s + 0*h + 1/5*h**4 + 0*h**3 + 0*h**2 + 0 = 0. What is h?
0, 1
Let p(a) = -a**2 + 9*a. Let k be p(9). Suppose 2*t - 15 + 5 = k. What is o in 1/2*o**2 - 1/4*o**t + 1/4*o - 1/2*o**4 + 0*o**3 + 0 = 0?
-1, 0, 1
Let k be (-1 - 0) + (-3)/(-1). Suppose 5*t = 2*t - k*w + 14, -2*w - 2 = -5*t. Solve l + 8*l**3 + l - 5*l**2 - 5*l**t = 0.
0, 1/4, 1
Let o be 2*(42/(-24) + 2)*4. Solve 63/5*r**3 - 12*r + 6/5*r**o - 27/5*r**4 + 24/5 = 0 for r.
-1, 2/3, 2
Let l(r) = -r**3 - 8*r**2 + 8*r - 8. Let f be l(-9). Let j = f + -1. What is o in -o**2 + 4*o**3 + 2*o**4 + j*o**3 + 3*o**2 = 0?
-1, 0
Let g(o) be the second derivative of o**7/210 - o**5/60 - o**2 - 2*o. Let l(k) be the first derivative of g(k). Factor l(d).
d**2*(d - 1)*(d + 1)
Suppose 4*h = -b + 11, -5*h + 4*b = -3 - 16. Determine y, given that -y + y - y + h*y**2 = 0.
0, 1/3
Let k(v) be the first derivative of -4*v + 1/2*v**2 - 4 + 1/12*v**4 + 1/3*v**3. Let l(a) be the first derivative of k(a). Let l(z) = 0. Calculate z.
-1
Suppose 2/3*s - 2/3*s**3 + 0*s**2 + 0 = 0. What is s?
-1, 0, 1
Let n(d) be the first derivative of 2*d**3/9 - d**2/3 - 1. Factor n(h).
2*h*(h - 1)/3
Let i(q) = 71*q**3 + 34*q**2 + 3*q - 4. Let d(s) = -70*s**3 - 35*s**2 - 3*s + 5. Let p(x) = -4*d(x) - 5*i(x). Factor p(c).
-3*c*(5*c + 1)**2
Let m = 18 - 10. Suppose 0 = -4*u + 5*z + 16, -2*u - 2*z + m = -6*z. Factor -r**2 + 3 - 2*r - u + 0*r**2.
-(r + 1)**2
Let a(n) = -6*n - 6 + 2 + 4*n**2 - 5*n**2 + 13*n. Let r(o) = -12*o**2 + 90*o - 51. Let d(w) = 27*a(w) - 2*r(w). What is k in d(k) = 0?
1, 2
Let v(k) be the third derivative of -k**7/840 + k**5/120 - k**3/6 - k**2. Let a(w) be the first derivative of v(w). Factor a(b).
-b*(b - 1)*(b + 1)
Let y(v) be the first derivative of v**6/30 - 3*v**5/20 + v**4/4 - v**3/6 - 3*v - 4. Let k(g) be the first derivative of y(g). Determine x, given that k(x) = 0.
0, 1
Let t(c) be the second derivative of 1/6*c**4 - 2*c + 0 + 0*c**3 - c**2. Factor t(a).
2*(a - 1)*(a + 1)
Let f(s) = 9*s**2 + 14*s + 5. Let z(j) = -j - 1. Let r(p) = -f(p) - 2*z(p). Factor r(h).
-3*(h + 1)*(3*h + 1)
Let f = -2/233 + -1601/3495. Let w = -19/105 - f. Factor 0*h + 0 + w*h**2.
2*h**2/7
Let i(r) be the third derivative of -r**6/420 + 4*r**5/105 - 13*r**4/84 + 2*r**3/7 - 25*r**2. What is f in i(f) = 0?
1, 6
Suppose t - 22 = 4*o, -3*t + 3*o + 21 = -0*o. Let k(f) be the first derivative of -t + 0*f**3 + 0*f - 2/5*f**5 + 0*f**2 - 1/2*f**4. Factor k(d).
-2*d**3*(d + 1)
Factor 11*u**2 + u**4 + 26/3*u**3 + 0 - 14/3*u.
u*(u + 2)*(u + 7)*(3*u - 1)/3
Let k(f) be the first derivative of -f**3/15 - 18. Let k(j) = 0. Calculate j.
0
Factor 2/7*d**2 + 0 - 2/7*d.
2*d*(d - 1)/7
Let r = 24 + -24. Let c(n) be the third derivative of 1/60*n**4 + n**2 + r + 0*n - 1/150*n**5 + 1/15*n**3 - 1/300*n**6. Factor c(j).
-2*(j - 1)*(j + 1)**2/5
Let n(a) be the third derivative of a**8/112 - a**7/70 - 3*a**2. Factor n(h).
3*h**4*(h - 1)
Suppose -p + 0*p = -36. Let r = p - 34. Find z such that 0*z**r + 1/5*z + 0 + 0*z**4 - 2/5*z**3 + 1/5*z**5 = 0.
-1, 0, 1
Let u be 15/10 - 2/(-4). Determine o, given that -3*o**4 + 2*o**4 - 6*o**2 + 5 - 3*o + 4*o**4 - 3*o**5 + 6*o**3 - u = 0.
-1, 1
Let u = 16 - 13. Let i(l) be the second derivative of 0 + 1/24*l**4 + 1/80*l**5 - 2*l + 0*l**u + 0*l**2. Suppose i(r) = 0. What is r?
-2, 0
Determine a so that 5 - 2*a + 1/5*a**2 = 0.
5
Determine h, given that 1/3 + 0*h - 1/3*h**2 = 0.
-1, 1
Find n such that 16/7*n + 10/7*n**2 + 8/7 + 2/7*n**3 = 0.
-2, -1
Suppose 0*s + s**4 - 1/2*s**2 - 1/2*s**3 + 0 = 0. Calculate s.
-1/2, 0, 1
Let z(u) = -u**2 + 6*u - 6. Let j be z(4). Solve -3*v**2 + 5 - v**2 - j + 3*v - 2 = 0 for v.
-1/4, 1
Let q = 20 - 18. Factor -r**3 + 2*r**2 - 6*r**3 + 5*r**3 + 4*r**q.
-2*r**2*(r - 3)
Let b(w) = 5*w**3 - 6*w**2 - 5*w + 6. Let m(l) = -6*l**3 + 7*l**2 + 6*l - 7. Let i(t) = -5*b(t) - 4*m(t). Solve i(n) = 0.
-1, 1, 2
Let z(x) be the second derivative of -x**5/20 - x**4/12 + x**3/6 + x**2/2 + 35*x. Find b such that z(b) = 0.
-1, 1
Suppose -87*u - 9 = -90*u. Factor 0 - 2/11*l - 6/11*l**2 - 4/11*l**u.
-2*l*(l + 1)*(2*l + 1)/11
Let h(u) be the third derivative of 0*u + 0 - 1/60*u**6 + 1/6*u**4 + 9*u**2 + 0*u**3 - 1/30*u**5. Factor h(t).
-2*t*(t - 1)*(t + 2)
Let 6/11*s**3 - 24/11*s - 2/11*s**4 + 4/11*s**2 + 16/11 = 0. What is s?
-2, 1, 2
Factor -3/4*a**2 - 3/2 + 9/4*a.
-3*(a - 2)*(a - 1)/4
Let z be (-21)/(-14)*(-4)/(-3). Let j(l) be the first derivative of 1/8*l**4 + 1/12*l**6 + 1/5*l**5 + 0*l**3 + 0*l + 1 + 0*l**z. Factor j(a).
a**3*(a + 1)**2/2
Suppose -33 = -4*s + 15. Let -g**5 + g**3 - 12*g**2 + s*g**2 = 0. Calculate g.
-1, 0, 1
Let j = 9 + -9. Suppose j = f - 0*f. Factor f*u**2 + 0 + 2/9*u**3 + 0*u.
2*u**3/9
Suppose 0 = -12*t - 10 + 22. Let 1/3*q**3 - 5/3*q**2 - t + 7/3*q = 0. What is q?
1, 3
Factor -8/7 - 2/7*u**2 + 8/7*u.
-2*(u - 2)**2/7
Suppose n + 12*i = 16*i, -2*i = 3*n. Let 6/11*l**4 + 2/11*l**2 - 6/11*l**3 + 0*l - 2/11*l**5 + n = 0. What is l?
0, 1
Solve 0 + 2/3*z**2 - 8/3*z**3 + 2*z = 0.
-3/4, 0, 1
Let d(n) be the second derivative of 0 - 1/12*n**4 + 0*n**2 - n - 1/3*n**3. Factor d(h).
-h*(h + 2)
Let a be 99/22 + (-6)/4. Let t(s) be the third derivative of 2*s**2 - 1/70*s**5 - 1/420*s**6 + 0*s**4 + 4/21*s**a + 0 + 0*s. Solve t(r) = 0.
-2, 1
Let z(r) be the first derivative of 2*r**2 + 0*r - r**4 + 2 - 14/3*r**3 + 14/5*r**5. Suppose z(u) = 0. Calculate u.
-1, 0, 2/7, 1
Let u = -8 - -11. Let z = -2/133 - -284/1197. Suppose -2/9*d + 4/9*d**2 - z*d**u + 0 = 0. Calculate d.
0, 1
Determine c so that -16 - c**3 - 2*c**5 + 8*c**2 + 16*c - 3*c**4 + 2*c**4 - 7*c**3 + 3*c**5 = 0.
-2, 1, 2
Suppose -5*v - 4*s = -34, 0*s + 2*s = -2*v + 12. Suppose 0 = 5*m + v, 0 = 2*u + 2*m - 3 + 1. Find x, given that 0*x + 0*x**u + 0*x**2 + 0 - 2/7*x**4 = 0.
0
Let z(i) be the first derivative of -i**4 + 4*i**3/3 + 2*i**2 - 4*i - 3. Factor z(w).
-4*(w - 1)**2*(w + 1)
Factor -1/2*o**4 + 0 - 1/2*o + 1/2*o**2 + 1/2*o**3.
-o*(o - 1)**2*(o + 1)/2
Let p(l) be the first derivative of -1 + 11/10*l**5 - 1/4*l**2 + 7/4*l**4 + l**3 - 1/2*l + 1/4*l**6. Suppose p(z) = 0. What is z?
-1, 1/3
Let j(f) = f**2 - 6*f - 4. Let l be j(7). Let r(k) be the second derivative of 2*k + 3/2*k**4 - k**l + 0 - 2*k**2. Factor r(x).
2*(3*x - 2)*(3*x + 1)
Let c be (48/60)/((-2)/15). Let v(s) = 55*s**3 - 143*s**2 + 133*s + 35. Let a(z) = 27*z**3 - 72*z**2 + 66*z + 18. Let p(m) = c*v(m) + 13*a(m). Solve p(q) = 0.
-2/7, 2
Suppose -2*o - 4 = -5*v, 5*o - 4 = 11. Let h = v - 2. Factor h - 2/5*p + 2/5*p**2.
2*p*(p - 1)/5
Let b(g) be the first derivative of 14*g**6/9 - 16*g**5/5 - 11*g**4/3 + 16*g**3/3 + 8*g**2/3 + 9. Determine h, given that 