 r(d) = 0.
-1, 0, 2/3, 2
Let r(p) be the first derivative of 2*p**6 - 3*p**5 + 3*p**4/4 - 32. What is u in r(u) = 0?
0, 1/4, 1
Let h(u) be the second derivative of -1/45*u**5 + 1/27*u**3 + 0*u**2 + 0 - 8*u + 1/54*u**4. Suppose h(y) = 0. Calculate y.
-1/2, 0, 1
Let s(q) be the third derivative of -q**8/28 - 46*q**7/105 - 34*q**6/15 - 32*q**5/5 - 32*q**4/3 - 32*q**3/3 + 5*q**2. Let s(n) = 0. What is n?
-2, -1, -2/3
Let q = -1132/7 - -162. Let o(v) be the first derivative of 0*v + q*v**2 + 1/14*v**4 - 2/7*v**3 - 3. Solve o(y) = 0.
0, 1, 2
Let v = -7 + 10. Suppose -5*x**v + 8*x**4 + x**3 + 2*x**3 = 0. What is x?
0, 1/4
Let u = 17 - 12. Let s(v) = 2*v**2 - 3*v. Let p be s(2). What is x in -3*x + 4*x**u + 4*x**2 + x - p*x**5 - 4*x**4 = 0?
-1, 0, 1
Let q(m) be the first derivative of 2/5*m**5 - 1/6*m**4 + 0*m + 0*m**2 - 4/9*m**3 + 1. Factor q(l).
2*l**2*(l - 1)*(3*l + 2)/3
Let d(y) = 0*y + 3*y - 4*y. Let r be d(-2). Let -2*t**3 + r*t + 4*t**2 - 4*t**2 = 0. Calculate t.
-1, 0, 1
What is c in 2*c + 2*c + 1 + 3 + c**2 = 0?
-2
Let h = 25 - 13. Suppose -m - 2*w = -h, 4*m + w = -0*m + 13. Determine o, given that -2/3*o + 4/3*o**5 + 0 - 2*o**2 + m*o**4 - 2/3*o**3 = 0.
-1, -1/2, 0, 1
Let b(a) be the third derivative of -a**7/315 - a**6/180 + a**5/90 + a**4/36 + 2*a**2. Solve b(x) = 0.
-1, 0, 1
Let r = -9/11 - -65/66. Let v(g) be the first derivative of 2/5*g**5 - 2/3*g**3 + 1/2*g**2 + 2 + 0*g + 0*g**4 - r*g**6. Suppose v(w) = 0. What is w?
-1, 0, 1
Let h(b) be the second derivative of 25*b**7/126 + 11*b**6/18 + 19*b**5/60 - 23*b**4/36 - 4*b**3/9 + 2*b**2/3 + 23*b. Let h(k) = 0. What is k?
-1, 2/5
Let w(o) be the second derivative of o**8/480 - o**7/105 + 11*o**6/720 - o**5/120 - o**3/3 + 2*o. Let s(b) be the second derivative of w(b). Factor s(n).
n*(n - 1)**2*(7*n - 2)/2
Let s(d) be the second derivative of 13*d**5/300 + 11*d**4/120 - d**3/15 - 4*d**2 + 8*d. Let u(a) be the first derivative of s(a). What is y in u(y) = 0?
-1, 2/13
Let k(u) = -3*u**2 - 9*u - 5. Let j(w) = 3*w**2 + 9*w + 4. Let f(s) = 5*j(s) + 4*k(s). Determine c so that f(c) = 0.
-3, 0
Let x be (-9 + 9)/(-5 - -7). Let x + 3/4*g**3 + 3/4*g + 3/2*g**2 = 0. What is g?
-1, 0
Let c(n) = -3*n**3 - 20*n**2 - 24*n - 7. Let q(v) = 15*v**3 + 99*v**2 + 120*v + 36. Let u(a) = 24*c(a) + 5*q(a). Find d, given that u(d) = 0.
-2, -1
Factor 0 - 2/5*c**5 + 0*c**2 + 0*c - 2/5*c**3 - 4/5*c**4.
-2*c**3*(c + 1)**2/5
Let o(z) be the first derivative of z**6/540 + z**5/45 + z**4/9 + 4*z**3/3 + 5. Let a(u) be the third derivative of o(u). Factor a(d).
2*(d + 2)**2/3
Let c(f) be the second derivative of 6*f**5/35 - 13*f**4/21 + 16*f**3/21 - 2*f**2/7 - 12*f. Factor c(o).
4*(o - 1)**2*(6*o - 1)/7
Let j(k) be the third derivative of 2*k**7/105 - k**6/10 + 2*k**4/3 - k**2. Factor j(g).
4*g*(g - 2)**2*(g + 1)
Suppose 0 = -8*l + 5*l. Let j(x) be the third derivative of 1/30*x**5 + 1/3*x**3 + 0*x + x**2 - 1/6*x**4 + l. Factor j(b).
2*(b - 1)**2
Let b(a) be the second derivative of -5*a**6/144 + a**5/12 - a**4/12 - a**3/6 - a. Let f(h) be the second derivative of b(h). Factor f(u).
-(5*u - 2)**2/2
Let b(d) be the first derivative of -d**4/20 - d**3/10 + 3*d**2/5 + 5*d + 3. Let u(n) be the first derivative of b(n). Factor u(w).
-3*(w - 1)*(w + 2)/5
Let r(p) be the first derivative of p**5 + 15*p**4/2 - 15. Solve r(k) = 0.
-6, 0
Let k(q) be the third derivative of 0 + 1/8*q**4 + 0*q - 1/40*q**6 + 1/3*q**3 - 6*q**2 - 1/60*q**5 - 1/210*q**7. Let k(u) = 0. What is u?
-2, -1, 1
Let g(o) = 8*o**2 - 12*o - 2. Let m(i) = -17*i**2 + 25*i + 5. Let a(n) = 13*g(n) + 6*m(n). Let a(q) = 0. What is q?
1, 2
Let f(o) = -o**2 + 5*o + 8. Let i be f(6). What is y in -2*y**2 - 9 - y**2 + 2*y**i + 6*y = 0?
3
Let l(m) = 3*m**3 - 9*m**2 + 13*m - 7. Let c(t) = t**3 - 3*t**2 + 4*t - 2. Let f(a) = 14*c(a) - 4*l(a). Factor f(o).
2*o*(o - 2)*(o - 1)
Let m be (-12)/32 + (-38)/(-80). Let t(k) be the second derivative of -m*k**5 + 0*k**3 + 0*k**2 + 1/6*k**4 + k + 0. Let t(v) = 0. Calculate v.
0, 1
Let i(f) be the first derivative of -5*f**3/9 - 5*f**2 + 35*f/3 + 4. Determine k, given that i(k) = 0.
-7, 1
Let s(i) be the second derivative of -i**6/45 - i**5/15 - i**4/18 - 44*i. Factor s(b).
-2*b**2*(b + 1)**2/3
Let 0 - 98/5*g**4 + 42/5*g**3 + 8/5*g + 48/5*g**2 = 0. Calculate g.
-2/7, 0, 1
Let w(a) be the second derivative of -a**4/6 + 5*a**3/3 - 4*a**2 - a. Factor w(x).
-2*(x - 4)*(x - 1)
Suppose 5*k + 20 = 0, 0 = o + 4*o - 5*k + 15. Let v be ((-4)/(-7))/((-6)/o). Determine p, given that -2*p**2 - 2*p - 2/3 - v*p**3 = 0.
-1
Suppose -5*u - 5 = 2*n + 10, 4*n = 5*u + 15. Factor 0 + 1/5*y**3 + n*y - 1/5*y**2.
y**2*(y - 1)/5
Let d be ((-28)/(-35))/(2/(-10)). Let i be ((-8)/(-30))/(d/(-12)). Factor -i*p**4 + 6/5*p**3 + 0 - 4/5*p**2 + 1/5*p + 1/5*p**5.
p*(p - 1)**4/5
Suppose -63 - 39 = -3*b. Let m be (b/(-5))/((-27)/15). Determine g, given that 4/9 + 14/3*g**2 - 22/9*g + 10/9*g**4 - m*g**3 = 0.
2/5, 1
Let u(a) be the third derivative of 0 + 2*a**2 + 1/84*a**4 + 0*a**3 + 0*a + 3/140*a**5. Factor u(c).
c*(9*c + 2)/7
Let y(u) be the second derivative of u**6/90 + u**5/30 + u**4/36 + 16*u. Solve y(c) = 0 for c.
-1, 0
Let o(w) be the first derivative of 3*w**5/5 - 9*w**4/4 + 3*w**3 - 3*w**2/2 - 1. Factor o(j).
3*j*(j - 1)**3
Let y(a) = 3*a**3 - 3*a**2 + 4*a + 5. Let s(l) = -l**3 + l**2 - 2*l - 2. Let j(f) = 5*s(f) + 2*y(f). Factor j(i).
i*(i - 2)*(i + 1)
Let q(i) be the third derivative of -i**8/26880 + i**7/2240 - i**6/480 + i**5/20 - 5*i**2. Let g(k) be the third derivative of q(k). Factor g(f).
-3*(f - 2)*(f - 1)/4
Let y(u) = 2*u**3 + 51*u**2 + 27*u + 53. Let b be y(-25). Let 0*h**2 - 3/5*h + 3/5*h**b + 0 = 0. Calculate h.
-1, 0, 1
Suppose h + 5 = -3*p + 19, 5 = -p. Suppose 5*o + 9 = h. Determine m so that -8*m**o + 0 - 11/2*m**3 + 0*m - m**2 - 7/2*m**5 = 0.
-1, -2/7, 0
Let b(r) be the second derivative of 2/7*r**2 + 0 + 3/7*r**3 - r + 1/6*r**4. Factor b(u).
2*(u + 1)*(7*u + 2)/7
Suppose 4*f - 15 = 9. Let r(d) be the first derivative of 1/12*d**3 + 2 - 1/8*d**f + 0*d + 5/16*d**4 - 1/4*d**2 - 1/20*d**5. Suppose r(z) = 0. What is z?
-1, 0, 2/3, 1
Factor -2/5*k**4 + 0*k - 2/5*k**2 + 4/5*k**3 + 0.
-2*k**2*(k - 1)**2/5
Let i be (-8)/5 - 40/(-20). Let p be (0/2)/(6/3). Factor 0 + i*h**2 + p*h.
2*h**2/5
Let y = 40 - 27. Let z = y - 1. Factor -25*q**3 - z*q - 30*q**2 - 8/5.
-(5*q + 2)**3/5
Let h(s) be the second derivative of s**2 + 1/10*s**5 + 5*s - 1/6*s**4 - 1/3*s**3 + 0. Factor h(c).
2*(c - 1)**2*(c + 1)
Let r(z) be the first derivative of 0*z - 1/12*z**4 - 2/75*z**5 - 2/15*z**3 - 1/300*z**6 + 1 + z**2. Let l(i) be the second derivative of r(i). Factor l(s).
-2*(s + 1)**2*(s + 2)/5
Factor 19/5*b**4 + 1/5*b**5 + 0*b + 0 + 81/5*b**2 + 99/5*b**3.
b**2*(b + 1)*(b + 9)**2/5
Let m(h) = 3*h**2 - 25*h + 12. Let a be m(8). Let q(w) be the second derivative of -a*w + 0 - 1/8*w**2 - 1/12*w**3 - 1/48*w**4. Factor q(v).
-(v + 1)**2/4
Factor -6 - 2*j - 1/6*j**2.
-(j + 6)**2/6
Let b(y) be the second derivative of -y**4/28 + y**3/14 + 3*y**2/7 + 6*y. Factor b(s).
-3*(s - 2)*(s + 1)/7
Suppose 24 = 4*i + 4*c, 5*c = 2*i - i + 18. Factor -4*l**2 + l**2 + l**i - 2*l**3.
-2*l**2*(l + 1)
Let u(a) be the third derivative of a**8/504 + 2*a**7/315 - a**5/45 - a**4/36 - 3*a**2. Factor u(j).
2*j*(j - 1)*(j + 1)**3/3
Suppose -8 + 8 - 6*j**2 + 6*j**4 + 3*j**5 - 3*j = 0. What is j?
-1, 0, 1
Suppose -10*n - 2*n - 18 - 2*n**2 + 0*n = 0. Calculate n.
-3
Let k be -56 - (-2 + -1)/(-3). Let w be (k/(-27) - 2)*3. Factor -16/3*t**2 + 8/3*t - w.
-(4*t - 1)**2/3
Factor -6 - 9 - 2*q**2 + 0*q**2 + 23.
-2*(q - 2)*(q + 2)
Let m(q) = q**4 - q**3 - q. Let j(b) = -b**5 - 6*b**4 - b**2 + 3*b. Let d(h) = 5*j(h) + 15*m(h). Factor d(x).
-5*x**2*(x + 1)**3
Factor -5/3*t**5 - 2/3*t + 11/3*t**2 + 17/3*t**4 - 7*t**3 + 0.
-t*(t - 1)**3*(5*t - 2)/3
Let i = -28 - -55. Let s = i - 27. Factor -2/9*c**3 - 2/9*c**2 + s + 2/9*c**4 + 2/9*c**5 + 0*c.
2*c**2*(c - 1)*(c + 1)**2/9
Let -16*q - 3*q**2 + 0 + 37*q + 0 = 0. What is q?
0, 7
Suppose -8 = -4*z + 5*z. Let p be (6/12)/((-3)/z). Factor 0 - 4/3*t**3 - p*t**2 - 1/3*t.
-t*(2*t + 1)**2/3
Suppose -3*s + 2*a = -2*a - 20, 0 = 3*s + 3*a - 6. Factor 2/3*q**2 - 2/3*q**s + 0 + 2/3*q**3 - 2/3*q.
-2*q*(q - 1)**2*(q + 1)/3
Let k(f) be the first derivative of f**3/2 + 3*f**2/8 + 13. Factor k(