3*o**2 = 0. Calculate o.
-1, 1
Suppose r - 4 = -2*a - 4*r, -4*a + 3*r + 8 = 0. Let p be 2/(2 - 1) - a. Factor p - 2/5*c**5 + 0*c**4 + 0*c**3 + 0*c**2 + 0*c.
-2*c**5/5
Let f = -4 - 3. Let d be 18/63 + (-8)/f. Suppose 8/7*h**2 + 2/7 - d*h = 0. What is h?
1/4, 1
Let c(f) = -5*f**3 - 3*f**2 - 3*f - 3. Let s(n) = -6*n**3 - 4*n**2 - 4*n - 4. Let k = 11 - 8. Let u(o) = k*s(o) - 4*c(o). Find q, given that u(q) = 0.
0
Let j be 6 - 5 - (-1 + (-8)/(-6)). Find x, given that j + 3/2*x**2 + 2*x + 1/3*x**3 = 0.
-2, -1/2
Factor 0 - 2 + 0*k**2 + 2*k + 4*k**2.
2*(k + 1)*(2*k - 1)
Suppose 2*n - 2 - 6 = 0. Let r(k) = k**2 + k + 1. Let s(v) = 5*v**2 + 2*v + 4. Let a(m) = n*r(m) - s(m). Factor a(j).
-j*(j - 2)
Suppose 4*c = 5*g - 130, 3*g + 5*c + 3 = 2*g. Let f = -20 + g. Suppose 0*b**f + 0 + 0*b - 2/5*b**3 - 2/5*b**4 = 0. What is b?
-1, 0
Let b(h) = -h**2 + 5*h - 3. Let c(q) = -q**3 + 4*q**2 + 3. Let l be c(4). Let d be b(l). Factor -2*j**2 - j**4 + j + 0*j - j**2 + d*j**3.
-j*(j - 1)**3
Let u(m) = m**3 - 6*m**2 - 7*m - 2. Let v be u(7). Let k be v/3 - 8/(-9). Factor -4/3*x**2 + 8/9*x - k + 8/9*x**3 - 2/9*x**4.
-2*(x - 1)**4/9
Let s(z) = 3*z**4 + 2*z**2 + 2*z - 1. Let u(p) = 10*p**4 + p**3 + 7*p**2 + 6*p - 3. Let a(o) = -7*s(o) + 2*u(o). What is t in a(t) = 0?
-1, 1
Let b(m) be the second derivative of m**6/540 - m**5/90 - m**3/3 - 3*m. Let z(y) be the second derivative of b(y). Factor z(f).
2*f*(f - 2)/3
Let h(s) be the third derivative of 0 + 0*s - s**4 - 6*s**2 - 1/40*s**6 + 1/4*s**5 + 2*s**3. Factor h(v).
-3*(v - 2)**2*(v - 1)
Let a(u) be the first derivative of 3 + 1/12*u**2 - 7/24*u**4 - 1/9*u**3 - 2/15*u**5 + 0*u. Determine h, given that a(h) = 0.
-1, 0, 1/4
Let g = 1299 + -6491/5. Factor -6/5 + 2/5*p**2 - g*p.
2*(p - 3)*(p + 1)/5
Suppose 0 = 5*y - 5*k + 2*k - 7, -3*y = -5*k - 1. Factor -2*j**2 + j**y - 3*j**2 + 2*j**5 - 4*j**3 - 2*j**3.
2*j**2*(j - 2)*(j + 1)**2
Let t(r) be the third derivative of -r**8/392 + 2*r**7/147 - r**6/35 + r**5/35 - r**4/84 - 4*r**2. Determine f, given that t(f) = 0.
0, 1/3, 1
Let k(b) be the third derivative of -4*b**2 + 2/15*b**5 + 0 + 11/48*b**4 + 7/240*b**6 + 0*b + 1/6*b**3. Factor k(d).
(d + 1)**2*(7*d + 2)/2
Let k(j) be the third derivative of -j**5/420 + j**4/28 - 2*j**2. Suppose k(s) = 0. Calculate s.
0, 6
Let o(t) be the second derivative of 4/7*t**2 + 0 + 4*t + 1/42*t**4 - 4/21*t**3. Let o(f) = 0. What is f?
2
Let w(s) be the second derivative of -s**6/1620 - s**5/540 + s**3/2 - 2*s. Let r(p) be the second derivative of w(p). Let r(v) = 0. What is v?
-1, 0
Let z = 177 + -174. Determine x, given that 0*x**z + 0 + 2/13*x**4 + 0*x - 2/13*x**2 = 0.
-1, 0, 1
Suppose 61*v + 16 = 69*v. Factor v*k**3 + 0*k**2 - 2/3*k**4 + 0 - 8/3*k.
-2*k*(k - 2)**2*(k + 1)/3
Let r(m) be the first derivative of -m**6/12 + m**5/10 + 3*m**4/8 - 5*m**3/6 + m**2/2 - 3. What is x in r(x) = 0?
-2, 0, 1
Let f(v) be the third derivative of -49*v**6/360 + 21*v**5/20 - 15*v**4/8 + 3*v**3/2 - 37*v**2. What is b in f(b) = 0?
3/7, 3
Let q(j) be the second derivative of -j**6/60 - j**5/30 + j**4/6 - 3*j**2/2 - 4*j. Let f(o) be the first derivative of q(o). Factor f(g).
-2*g*(g - 1)*(g + 2)
Let h = 15 + -11. Let o be (h/6)/(2/9). What is k in 3*k**2 - 3*k**3 + o*k**3 - k**3 - 4 = 0?
-1, 2
Let u(o) = -o**4 - o**3 - o - 1. Let f(l) = -9*l**5 + 9*l**4 - l**3 - 4*l**2 - 4*l - 3. Let i(d) = 4*f(d) - 12*u(d). Suppose i(n) = 0. Calculate n.
-1/3, 0, 1
Let p(t) be the first derivative of -3*t**5 - 21*t**4 - 48*t**3 - 24*t**2 + 48*t + 2. Let p(w) = 0. What is w?
-2, 2/5
Let a(t) = -7 + 2*t**3 - 6*t**3 - 4*t**3 + 7*t**2 + 8*t**5. Let l(j) = -j**5 + j**3 - j**2 + 1. Let m(p) = 3*a(p) + 21*l(p). Let m(b) = 0. What is b?
-1, 0, 1
Let l(h) be the second derivative of 1/80*h**5 + 5*h + 0*h**2 + 0*h**3 + 0 + 1/48*h**4. Solve l(d) = 0.
-1, 0
Let r = 33 + -21. Suppose 5*n - r = n. Suppose 2 + v**2 + 0 - n*v**2 = 0. What is v?
-1, 1
Let x(m) = -2 - 6*m - 4*m**2 - 2*m**3 + m**2 - 4*m**2 + m**2. Let g(s) = 4*s**3 + 12*s**2 + 12*s + 4. Let t(c) = 2*g(c) + 5*x(c). Factor t(i).
-2*(i + 1)**3
Let s be (9/6 - 1)*8. Let b be 24/(-14) + 8/s. What is d in 0 - b*d**3 + 0*d - 2/7*d**2 + 2/7*d**5 + 2/7*d**4 = 0?
-1, 0, 1
Let s(w) be the second derivative of 5*w**4/12 + 5*w**3/3 + 5*w**2/2 - 9*w. Determine t, given that s(t) = 0.
-1
Let a(q) = 21*q**4 + 15*q**3 - 39*q**2 + 12*q + 9. Let x(p) = p**2 + 1. Let s(c) = a(c) - 9*x(c). What is l in s(l) = 0?
-2, 0, 2/7, 1
Let i be (-1 + -1)/(-2) + 3. Suppose 5*c = i + 1. Suppose -r**2 + 0*r**2 - 2*r + 0*r**2 - c = 0. What is r?
-1
Let k(u) be the second derivative of -u**6/16 - 3*u**5/10 - u**4/4 + 5*u**2/2 - 7*u. Let q(c) be the first derivative of k(c). Factor q(n).
-3*n*(n + 2)*(5*n + 2)/2
Let j(b) = -b**3 - 15*b**2 - 2*b - 27. Let r be j(-15). Find y such that 2/13*y**2 + 0 + 0*y + 2/13*y**r = 0.
-1, 0
Factor 2/17*j**2 - 12/17*j + 16/17.
2*(j - 4)*(j - 2)/17
Let r(p) be the second derivative of 1/4*p**4 + 0 + 3/2*p**3 + 3*p**2 - 5*p. Solve r(y) = 0.
-2, -1
Let n(r) be the first derivative of 7*r**3/3 + 7*r**2/2 + 3*r + 4. Let h(t) = 20*t**2 + 20*t + 8. Let j(g) = -3*h(g) + 8*n(g). Factor j(k).
-4*k*(k + 1)
Let x be (-6)/8 + 138/24. Let q = x - 0. Determine c so that -80/7*c**3 + 64/7 + 160/7*c**2 + 20/7*c**4 - 160/7*c - 2/7*c**q = 0.
2
Let a(j) be the first derivative of 0*j + 3/10*j**2 + 1/5*j**3 + 6. Let a(c) = 0. Calculate c.
-1, 0
Suppose 0*q + 5 = q. Let -3*h**2 - q*h**2 - 6 - h**2 + 15*h = 0. What is h?
2/3, 1
Let s(o) be the third derivative of o**7/735 + o**6/420 - o**5/105 + 14*o**2. Let s(h) = 0. Calculate h.
-2, 0, 1
Let w(m) be the second derivative of m**7/126 - 13*m. Factor w(a).
a**5/3
Let q(c) = -c**2. Let d be 4 + -2 - (-6)/2. Suppose k - d*k = -16. Let r(g) = -3*g**2 - 2*g + 1. Let y(o) = k*q(o) - r(o). Factor y(x).
-(x - 1)**2
Suppose 7 = -g - 5. Let u = g + 21. Factor 7*z**5 - 4 + u*z**4 - 9*z**2 - 5*z**3 - 2*z + 4.
z*(z - 1)*(z + 1)**2*(7*z + 2)
Let a = 107/12 + -26/3. Factor -1/2 + 3/4*h - a*h**2.
-(h - 2)*(h - 1)/4
Let i(v) = -8*v**3 - 14*v**2 - 14*v - 3. Let k = 14 - 19. Let t(o) = -39*o**3 - 69*o**2 - 69*o - 15. Let h(u) = k*t(u) + 24*i(u). Let h(d) = 0. What is d?
-1
Let m(j) be the second derivative of j**5/100 + j**4/60 - j**3/30 - j**2/10 - 4*j. Factor m(u).
(u - 1)*(u + 1)**2/5
Let p(l) = -l**4 - l**3 + l**2. Let n(b) = -b**4 - 3*b**3 + b**2 + b. Let u(a) = 3*n(a) - 6*p(a). Find g, given that u(g) = 0.
-1, 0, 1
Let c(u) = -2*u**2 + 5*u + 25. Let p be c(5). Find b, given that -2/9*b**2 + p - 4/9*b**3 + 2/9*b**4 + 4/9*b = 0.
-1, 0, 1, 2
Let h = -8 - -11. Solve -h*v**2 - 6*v + v - v = 0 for v.
-2, 0
Let y(r) be the first derivative of 3/2*r**2 - 1/36*r**4 + 1/18*r**3 + 1 + 0*r + 1/180*r**5. Let j(l) be the second derivative of y(l). Factor j(u).
(u - 1)**2/3
Suppose -4*u + 4 = 4*z + 12, 2*u - z + 13 = 0. Let m = 13 + u. Suppose 9*v**2 + v**2 + m*v**3 + 4*v + 2*v**4 + v**2 - v**2 = 0. What is v?
-2, -1, 0
Let l(w) be the first derivative of 4*w**3/3 - 6*w**2 + 8*w + 8. Factor l(p).
4*(p - 2)*(p - 1)
Find x such that 2*x**3 + 8*x**3 + 8*x**2 - 14*x**3 = 0.
0, 2
Let x(t) = 29*t**3 - 13*t**2 - 17*t - 2. Let y(k) = -28*k**3 + 12*k**2 + 18*k + 2. Let q(d) = -4*x(d) - 3*y(d). Factor q(w).
-2*(w - 1)*(4*w + 1)**2
Let d be (-36)/126*7/(-1). Suppose -3/2 + 3/4*y**3 - 9/4*y + 0*y**d = 0. Calculate y.
-1, 2
Let j(k) = 5*k**2 - 9*k + 4. Let w(z) = 4*z**2 - 8*z + 3. Let g(h) = 5*j(h) - 6*w(h). Suppose g(b) = 0. Calculate b.
-2, -1
Let p(g) = -g**3 + g**2 - g. Let m(h) = -5*h**4 - 35*h**3 + 20*h**2. Let j(s) = -m(s) + 20*p(s). What is b in j(b) = 0?
-2, 0, 1
Let k = -16 + 18. Let 4*j**k - 3*j**3 - 6*j + 0*j**3 + 6*j**2 + j**3 - 18 = 0. Calculate j.
-1, 3
Factor 2*w**4 - w**4 + 3*w**4 - 8*w**3 + 0*w**3 + 4*w**2.
4*w**2*(w - 1)**2
Suppose 4*f - 3*f - 3 = 0. Factor 37*t**2 + 0 - 38*t**2 + t**f + 1 - t.
(t - 1)**2*(t + 1)
Let z be (0 + (-9)/6)*4. Let y = 10 + z. Suppose -k + y*k - 4*k + k**3 = 0. Calculate k.
-1, 0, 1
Let l be 5/(-3*(-1)/(-3)). Let x = l - -7. Determine z, given that 3*z**x + 2/3*z + 0 = 0.
-2/9, 0
Let j(r) be the second derivative of -1/2*r**3 + 1/10*r**6 - 1/4*r**4 + 0 + 0*r**2 + 3/20*r**5 + 3*r. Determine i, given that j(i) = 0.
-1, 0, 1
Let c = -11 + 35. Let g be (9/12)/(81/c). Let 0 + 2/3*n**2 - g*n - 2/3*n**3 +