(z + 2)
Let n(s) be the first derivative of s**4/8 + s**3 + 3*s**2 - 7*s + 2. Let q(x) be the first derivative of n(x). Solve q(w) = 0.
-2
Let a be (-2 + 0)/(58 + -59). Determine c, given that 3/7*c**a + 0 + 12/7*c**4 + 0*c - 12/7*c**3 = 0.
0, 1/2
Factor 1/5*z**2 + 0 + 0*z.
z**2/5
Suppose -3*i + 7 + 5 = 0. Suppose 18*z**2 - i*z - 3*z**3 + 9*z**5 - 18*z**4 + 5*z**5 - 7*z**3 = 0. What is z?
-1, 0, 2/7, 1
Factor -2/3*a**2 - 8/3*a - 8/3.
-2*(a + 2)**2/3
Let m = -2 + 6. Let r(t) be the third derivative of 1/24*t**m + 0 + 0*t**3 + 1/120*t**6 + 0*t - t**2 + 1/30*t**5. Factor r(u).
u*(u + 1)**2
Suppose -3*p = -3*a + 7 + 8, 0 = 2*p + 10. Let r(u) be the second derivative of a*u**2 + 0*u**3 - 3*u + 0 - 1/36*u**4. Factor r(f).
-f**2/3
Suppose -12 = 2*o + 4*d, 0 = 3*o - 0*o - d - 17. Find w, given that 3*w**o + 2*w**3 - 2*w**4 - 9*w**2 + 4 + 2*w**4 = 0.
-2, -2/3, 1
Factor -1/2*d**2 - 3/2 + 2*d.
-(d - 3)*(d - 1)/2
Factor 8*p**2 - 6*p**4 - 4 + 10*p**4 - 8*p**4.
-4*(p - 1)**2*(p + 1)**2
Let q(v) be the first derivative of v**7/21 + 11*v**6/60 + 9*v**5/40 + v**4/24 - v**3/12 + 2*v - 2. Let c(i) be the first derivative of q(i). Factor c(o).
o*(o + 1)**3*(4*o - 1)/2
Let n(w) be the first derivative of w**6/12 + 3*w**5/10 + 3*w**4/8 + w**3/6 - 3. Factor n(m).
m**2*(m + 1)**3/2
Solve -14*j**3 - j**4 + 2*j**3 + 0*j**3 - 3*j**4 + 16*j = 0.
-2, 0, 1
Let j(f) = -2*f - 9. Suppose -5*g - 3*i = -0*i + 39, i = -2*g - 15. Let u be j(g). Suppose 2*l - 2*l**u - 2*l + 0*l + 2*l = 0. What is l?
-1, 0, 1
Let m(s) be the first derivative of -3/40*s**5 + 1/4*s**3 - 1/20*s**6 + 1/8*s**4 + 1 + 0*s**2 + s. Let n(x) be the first derivative of m(x). Factor n(v).
-3*v*(v - 1)*(v + 1)**2/2
Suppose -5*t - r + 8 + 22 = 0, 0 = -4*t + 5*r + 24. Suppose 0*k + 2*k = t. Determine x so that k*x**4 + 0*x**2 - 4*x**4 + x**2 = 0.
-1, 0, 1
Let y(q) = -q**4 + 3*q**3 - 2*q**2 - 2*q. Let b(i) = -2*i**4 + 4*i**3 - 3*i**2 - 3*i. Let g(o) = 2*b(o) - 3*y(o). Factor g(d).
-d**3*(d + 1)
Let p = 481 - 479. Solve 0 - 3/4*l**p - 1/4*l**4 + 1/4*l + 3/4*l**3 = 0 for l.
0, 1
Find s, given that -1/4*s**4 - s**3 - 1/2*s + 0 - 5/4*s**2 = 0.
-2, -1, 0
Let b = -39 + 57. Let r be 0 + 3/(b/8). Factor -10/3*q**3 - 2*q**4 + 0 + 0*q - r*q**2.
-2*q**2*(q + 1)*(3*q + 2)/3
Let d(t) be the second derivative of t**6/105 - t**5/35 + t**4/42 - 6*t. Let d(n) = 0. What is n?
0, 1
Suppose -m + 14 = -3*s, -2*s - 5 - 5 = -m. Suppose -8 = m*y - 4*y. Determine a, given that -a**3 - a**3 + 3*a**5 + 4*a**y - 5*a**5 = 0.
0, 1
Let a(x) = 2*x**2 + 2*x - 10. Let g(u) = -4*u**2 - 4*u + 19. Let d(k) = -11*a(k) - 6*g(k). Factor d(f).
2*(f - 1)*(f + 2)
Solve -1/2*y**2 + 0 + y = 0.
0, 2
Suppose -5*v = 10*v - 60. Let f(p) be the first derivative of -3 - 4*p**2 - 1/4*p**v + 4*p + 5/3*p**3. Determine o, given that f(o) = 0.
1, 2
Let y(x) be the first derivative of 54/5*x**2 + 729/20*x**4 + 3 - 162/5*x**3 - 8/5*x. Factor y(s).
(9*s - 2)**3/5
Let c = 66 - 63. Let d(h) be the second derivative of 0*h**5 + 0*h**2 + h + 0*h**4 + 1/7*h**7 + 0 + 0*h**c + 1/15*h**6. Factor d(k).
2*k**4*(3*k + 1)
Suppose 2*m + 1 = h + m, -4*h - m = 1. Suppose h*o + 3*o = 0. Find k, given that 6*k**3 + k**2 + 0 - 7*k**2 + 2*k + o - 2*k**4 = 0.
0, 1
Factor 5/2*z**2 + 15*z + 0.
5*z*(z + 6)/2
Factor 0 - 2/3*h**4 + 0*h - 1/3*h**3 + 2/3*h**2 + 1/3*h**5.
h**2*(h - 2)*(h - 1)*(h + 1)/3
Let d(i) be the second derivative of -i**10/60480 + i**9/30240 - i**4/4 - 3*i. Let t(l) be the third derivative of d(l). Let t(r) = 0. Calculate r.
0, 1
Let j be -1*5/15*-9. Factor 0 + 8/7*q**2 + 8/7*q + 2/7*q**j.
2*q*(q + 2)**2/7
Let i(v) = 7*v**2 - 10*v. Let t(z) = 6*z**2 - 9*z. Let j(g) = 3*i(g) - 2*t(g). Factor j(l).
3*l*(3*l - 4)
Let l be 1 + 0 + (-2 - -2). Suppose l + 3*q**2 - 3*q + 3*q**2 - 3*q**2 - q**3 + 0*q**3 = 0. Calculate q.
1
Let s(i) be the third derivative of -i**7/42 + i**6/2 + 2*i**2 + 27*i. Determine d so that s(d) = 0.
0, 12
Let z = -8 + 12. Let l(v) = v**3 + 5*v**2 + 2*v - 5. Let q be l(-4). Suppose 1 + 2*a**2 + a**4 + 4*a**2 + 2*a**q + 5*a**3 + z*a - 3*a**3 = 0. What is a?
-1
Let k be (-3)/2*(-576)/54. Let x = k - 11. Factor 108*r**2 + 162*r + 36*r**3 + 6*r**4 + 486/5 + 2/5*r**x.
2*(r + 3)**5/5
Let r(t) = t + 16. Let d be r(-16). Let i(x) be the third derivative of d*x - x**2 - 1/6*x**3 + 0 + 1/12*x**4 + 1/20*x**5. Factor i(v).
(v + 1)*(3*v - 1)
Let m be (14/21 - 1) + (-4)/(-6). Let s(q) be the second derivative of -2*q + 0 + 1/36*q**4 - m*q**2 + 1/18*q**3. Solve s(p) = 0.
-2, 1
Let s(t) = -4*t**2 + 4*t - 2. Let n(b) = 17*b**2 - 16*b + 9. Let p(h) = -4*n(h) - 18*s(h). Factor p(l).
4*l*(l - 2)
Let p(x) = 10*x**2 + 3*x - 2. Suppose 4*s + 4 = 12. Let v(a) = -s*a**2 + 0*a**2 + a**2. Let m(o) = 2*p(o) + 22*v(o). Factor m(h).
-2*(h - 2)*(h - 1)
Let q(d) be the first derivative of d**3/3 + d**2 + d + 2. Determine s so that q(s) = 0.
-1
Suppose -5*l = -4 - 6. Let x be (15/(-6) + 3)/l. Find i, given that x*i**2 + 1/4 - 1/2*i = 0.
1
Let b(i) be the first derivative of -2*i**3/21 + 2*i**2/7 - 2*i/7 - 21. Factor b(g).
-2*(g - 1)**2/7
Let y(g) be the third derivative of g**10/50400 + g**9/10080 - g**7/840 - g**6/240 - g**5/12 - 5*g**2. Let s(v) be the third derivative of y(v). Factor s(t).
3*(t - 1)*(t + 1)**3
Let x be (1/1)/(40/16). Let -2/5*g**2 + 0 + x*g**4 - 2/5*g**3 + 2/5*g = 0. Calculate g.
-1, 0, 1
Let u(z) = 2*z - z - 3*z**2 + 2*z**2 - 2*z - 1. Let m(n) = n**2 + 1. Let a(d) = m(d) + 2*u(d). Suppose a(g) = 0. Calculate g.
-1
Factor -2/5 - 1/5*a**3 + 3/5*a + 0*a**2.
-(a - 1)**2*(a + 2)/5
Let u = 67 - 64. Factor 0 - 3/5*o**2 + 0*o - 3/5*o**u.
-3*o**2*(o + 1)/5
Let g be (-204)/136*((-16)/6 - 0). Let -1/3*p**g + 0 - p**2 + 0*p - 4/3*p**3 = 0. What is p?
-3, -1, 0
Let i(r) be the second derivative of -5*r**6/6 + 2*r**5 + 15*r**4/4 - 20*r**3/3 - 10*r**2 - 18*r. Suppose i(x) = 0. What is x?
-1, -2/5, 1, 2
What is w in -3*w**3 + 20*w**2 - 9*w**2 - 3*w**2 + 36 - 48*w + 13*w**2 = 0?
2, 3
Let u be ((-6)/9)/((-2)/42). Suppose 5*w - u - 6 = 0. Find f such that 22/13*f - 48/13*f**2 - 4/13 - 28/13*f**4 + 6/13*f**5 + w*f**3 = 0.
2/3, 1
Suppose 64 - 4 = 3*r. Suppose 3*v = 8*v - r. Find i such that i + 7/4*i**3 + 0 - v*i**2 = 0.
0, 2/7, 2
Let g = -2/139 - -187/3336. Let h(u) be the third derivative of 1/120*u**6 + 3*u**2 + 0*u - 1/6*u**3 + 0 + 1/60*u**5 - g*u**4. Factor h(m).
(m - 1)*(m + 1)**2
Let t(s) = -4*s**2 + 9*s. Let f(h) = -2*h**2 + 5*h. Let l(p) = 5*f(p) - 3*t(p). Find w such that l(w) = 0.
0, 1
Let h**3 - h**2 - h**2 + 2*h**2 = 0. Calculate h.
0
Let q = 2 - 0. What is o in -5*o**q - o - 2*o + 2*o**2 = 0?
-1, 0
Let b(p) = -6*p**4 - 13*p**3 - 54*p**2 - 59*p - 29. Let c(m) = -m**4 - 2*m**3 - 9*m**2 - 10*m - 5. Let d(q) = 6*b(q) - 34*c(q). Factor d(w).
-2*(w + 1)**3*(w + 2)
Factor -14/3*s**3 - 8/3 - 2/3*s**4 - 10*s**2 - 26/3*s.
-2*(s + 1)**3*(s + 4)/3
Suppose -2 - 18 = -4*u. Suppose 0*c - u = -c. Factor 3*t**2 - t**2 + 2 + t - c*t.
2*(t - 1)**2
Let x(w) = -9*w**2 - w - 5. Let o(v) = -22*v**2 - 2*v - 12. Let y(p) = -5*o(p) + 12*x(p). Factor y(d).
2*d*(d - 1)
Let g be ((-2)/(-6))/(-1 + (-35)/(-30)). Factor 0 + 2/7*r**3 + 2/7*r**g + 0*r.
2*r**2*(r + 1)/7
Let a(g) = -g**3 - 12*g**2 + 2*g - 11. Let m be a(-12). Let t = -35 - m. Suppose -1/3*h**4 + 0 - 1/3*h**2 + t*h + 2/3*h**3 = 0. Calculate h.
0, 1
Let u(i) be the second derivative of -1/9*i**3 + 4*i - 1/30*i**5 - 1/180*i**6 + 0 - 1/12*i**4 + 3/2*i**2. Let s(q) be the first derivative of u(q). Factor s(y).
-2*(y + 1)**3/3
Let j(s) be the third derivative of -1/90*s**5 + 2/9*s**3 - 3*s**2 - 1/36*s**4 + 0 + 0*s. Suppose j(b) = 0. Calculate b.
-2, 1
Let f be 14/63*(-1 - -10). Let q(c) be the second derivative of -1/24*c**3 + 2*c + 0 + 1/24*c**4 + 1/80*c**5 - 1/4*c**f. Factor q(v).
(v - 1)*(v + 1)*(v + 2)/4
Let q = 421 - 417. Find c, given that 3/2*c**5 + 0*c**q + 0 + 0*c - 7/6*c**3 - 1/3*c**2 = 0.
-2/3, -1/3, 0, 1
Factor 2/7*z**2 - 8/7 + 0*z.
2*(z - 2)*(z + 2)/7
Let o(z) = -z + 13. Let m be o(9). Suppose 0 = 5*t + 4*w - 14, 3*t = -w + 3*w + m. Factor 2*y**2 - y**2 + 2*y - t*y.
y**2
Let g(c) be the second derivative of -c**7/10 - 11*c**6/75 + 43*c**5/100 + c**4/15 - 2*c**3/15 - c. Find u, given that g(u) = 0.
-2, -1/3, 0, 2/7, 1
Let y(z) be the first derivative of z**7/28 - z**6/20 - 3*z**5/20 + z**4/4 + z**3/4 - 3*z**2/4 + 5*z - 1. Let q(l) be the f