uppose -3*q = -15, -3*r + 6*r = 5*q - 19. Solve -2*m**2 - r*m**4 - 2*m**2 + y*m**2 + 3*m**4 = 0 for m.
-1, 0, 1
Solve 4*y**2 - 1 - 2*y + 0 + 2 - 3*y**2 = 0 for y.
1
Let u be 10/4*68/51. Factor 5/3*j**4 + 5/3*j + 10/3*j**2 + u*j**3 + 1/3*j**5 + 1/3.
(j + 1)**5/3
Suppose 10*a + 12 = 13*a. Solve 40*l**2 + 8*l**a + 0*l - 16*l**3 - 8*l - 18*l**3 = 0.
0, 1/4, 2
Let c = -10357/13 + 797. Find j, given that 0 + c*j**2 + 0*j + 2/13*j**3 = 0.
-2, 0
Factor 2/5*r**3 + 4/5*r**2 + 2/5*r + 0.
2*r*(r + 1)**2/5
Find l such that 0 - 3/8*l**4 + 0*l + 0*l**3 + 1/2*l**2 - 1/8*l**5 = 0.
-2, 0, 1
Let l = -11 + 14. Factor 6*b + 12*b - l*b**3 - 15*b.
-3*b*(b - 1)*(b + 1)
Let a be ((-984)/150)/(42/(-5)). Let j = a - 4/35. Let 8*g**4 + 0*g - 2/3*g**2 + 0 + j*g**3 = 0. What is g?
-1/3, 0, 1/4
Let h(k) = -2*k**2 + 1. Let n(d) = 7*d**2 - 4*d - 3. Let w(l) = 3*h(l) + n(l). Factor w(r).
r*(r - 4)
Suppose 0 = -5*g - 73 + 3. Let y = 19 + g. Factor 0 - 1/2*k**3 + 0*k**2 + k**4 - 1/2*k**y + 0*k.
-k**3*(k - 1)**2/2
Let y = 2954/3705 + 2/741. Factor -6/5*k**4 + 6/5*k + 2/5 - 2/5*k**5 + y*k**2 - 4/5*k**3.
-2*(k - 1)*(k + 1)**4/5
Let x be -4*(2 - (3 + 0)). Let f(h) be the third derivative of 4/3*h**3 + 0*h - 1/3*h**x + 0 - 1/10*h**5 - 2*h**2. Determine y, given that f(y) = 0.
-2, 2/3
Find s, given that 4*s**4 - 20*s - 11 + 5*s**3 + 12*s**2 - 5 + 15*s**3 = 0.
-4, -1, 1
Let l(o) be the second derivative of -1/126*o**7 + 0*o**5 + 0*o**3 + 0*o**6 + 0*o**2 + 0 - 4*o + 0*o**4. What is h in l(h) = 0?
0
Find b, given that 0*b**3 + 3/4*b**4 + 0*b - 3/4*b**2 + 0 = 0.
-1, 0, 1
Factor -3/4*h**4 - 3/2*h**3 + 3/2*h + 0 + 3/4*h**2.
-3*h*(h - 1)*(h + 1)*(h + 2)/4
Let x(r) be the first derivative of r**5/20 + r**4/8 - 8. What is z in x(z) = 0?
-2, 0
Let t(z) be the first derivative of -3 + 0*z + 4/3*z**3 + 1/2*z**2. Factor t(x).
x*(4*x + 1)
Solve -l**5 - 42*l**4 + 8*l**2 - 4*l + 34*l**4 + 5*l**5 = 0 for l.
-1, 0, 1
Suppose v + 2*m = 6, 0 = -2*m - m - 3. Factor 0*q**3 - 7*q**5 - 11*q**4 - v*q**5 - 2*q**3.
-q**3*(3*q + 1)*(5*q + 2)
Let u(j) = j + 9. Let r be u(-7). Factor t**4 + 2*t**4 + 0*t**5 + 6*t**5 + t**4 - r*t**3.
2*t**3*(t + 1)*(3*t - 1)
Let f(g) = g**3 - g**2. Let c(w) = 246*w**3 + 375*w**2 - 204*w + 24. Let u(n) = c(n) - 3*f(n). Factor u(k).
3*(k + 2)*(9*k - 2)**2
Suppose -4*b + 5*u = 15, -4*b + 0*b - 3*u = -9. Let x = 2 - 0. Let b*s + 0 + 1/2*s**x + 1/2*s**4 + s**3 = 0. Calculate s.
-1, 0
Factor 3*h + 22*h - 4*h**4 - 15*h + 36*h**2 - 48 + 6*h.
-4*(h - 3)*(h - 1)*(h + 2)**2
Let k(j) be the first derivative of -j**5/4 + j**4/8 + 5*j**3/12 - j**2/4 - 6. Determine c, given that k(c) = 0.
-1, 0, 2/5, 1
Let k(q) be the third derivative of 0*q + 1/3*q**3 - 1/8*q**4 + 3*q**2 - 1/30*q**5 + 0. Factor k(u).
-(u + 2)*(2*u - 1)
Let b(q) be the first derivative of -2*q**4/5 - 8*q**3/15 + 7*q**2/5 - 4*q/5 - 3. Factor b(g).
-2*(g + 2)*(2*g - 1)**2/5
Let r(u) be the second derivative of u**4/6 + 7*u. What is k in r(k) = 0?
0
Factor 8/3*r**2 + 4/3 - 2/3*r**3 - 10/3*r.
-2*(r - 2)*(r - 1)**2/3
Let v(k) be the second derivative of -5*k**4/4 - 50*k**3/3 - 30*k**2 + 26*k. Find b, given that v(b) = 0.
-6, -2/3
Let s(j) be the second derivative of -j**4/16 + 3*j**2/8 - 2*j. Factor s(l).
-3*(l - 1)*(l + 1)/4
Let g(t) be the first derivative of -t**6/600 - t**5/150 - 7*t**2/2 - 4. Let x(h) be the second derivative of g(h). Solve x(r) = 0 for r.
-2, 0
Let b(j) be the second derivative of -1/480*j**5 + 1/48*j**4 - 1/6*j**3 + 0 - j + 0*j**2 - 1/1440*j**6. Let h(w) be the second derivative of b(w). Factor h(a).
-(a - 1)*(a + 2)/4
Suppose -12*n + 10 = -7*n. Let z(c) be the first derivative of 1/2*c**4 - 2 + 2/3*c**3 + 0*c + 0*c**n. Solve z(r) = 0 for r.
-1, 0
Let p = 12 + -14. Let f = p + 4. Factor 0*x**3 + 0 + 1/2*x**f + 0*x - 1/2*x**4.
-x**2*(x - 1)*(x + 1)/2
Suppose 0 = 11*b - 7*b + 224. Let r be 2*(-100)/b + -3. Factor r*i - 2/7 + 8/7*i**3 + 2*i**2.
2*(i + 1)**2*(4*i - 1)/7
Let f be (-1 - -3)*-1 - -4. Let t(q) be the first derivative of 0*q + 1/9*q**3 - 4 + 0*q**f. Factor t(j).
j**2/3
Let p(y) = 3*y**3 + 3*y**2 + 3*y - 3. Let o(f) = -6*f**3 - 5*f**2 - 5*f + 5. Let h(c) = -3*o(c) - 5*p(c). Factor h(z).
3*z**3
Let t be 0*(-3)/(-6) + 2. Suppose 0 = h + t - 7. Factor -l**4 + l**2 + l**5 - 5*l**h + l**3 + 3*l**5.
-l**2*(l - 1)*(l + 1)**2
Let n(y) be the second derivative of -y**7/1680 - y**6/240 + y**4/12 - y**3/6 + 4*y. Let l(p) be the second derivative of n(p). Find d, given that l(d) = 0.
-2, 1
Factor -3/8 - 1/8*q**2 - 1/2*q.
-(q + 1)*(q + 3)/8
Suppose -3*f**2 - 16 + 2*f**3 - 8*f + f**2 + 0*f**3 + 6*f**2 = 0. What is f?
-2, 2
Let x(g) be the second derivative of g**10/105840 - g**8/11760 + g**6/2520 - g**4/12 - 2*g. Let a(z) be the third derivative of x(z). Let a(u) = 0. Calculate u.
-1, 0, 1
Let c(f) = 6*f**4 - 4*f**2 + 4 - 6 + 2*f**2. Let d(n) = -29*n**4 - n**3 + 11*n**2 + 11. Let q(z) = -11*c(z) - 2*d(z). Find k, given that q(k) = 0.
0, 1/4
Let s(f) be the third derivative of -f**7/1050 + f**6/150 - f**5/150 - f**4/30 + f**3/10 + 21*f**2. Factor s(k).
-(k - 3)*(k - 1)**2*(k + 1)/5
Let t(n) = -n**2. Let x(i) = -2*i**2 - i + 2. Let b = -2 + 1. Let q(u) = b*t(u) + x(u). Factor q(s).
-(s - 1)*(s + 2)
Let c(w) = w**3 - 2*w + 2. Let j(i) = -i + 1. Let u(v) = c(v) - 2*j(v). Suppose u(o) = 0. What is o?
0
Factor 4*v**2 + 24*v**3 - 20*v**3 + 2*v**2 - 2.
2*(v + 1)**2*(2*v - 1)
Factor -4/5*w**2 - 1/5*w**3 - 3/5*w + 0.
-w*(w + 1)*(w + 3)/5
Factor 2/3*d + 1/3*d**2 - 2*d**3 - 3/2*d**4 - 1/6.
-(d + 1)**2*(3*d - 1)**2/6
Factor 0*r**2 + r**3 + 0*r - 1/2*r**4 + 0.
-r**3*(r - 2)/2
Let c = 4 + -1. Suppose 29 = 4*q - 3*g, -3*q + 2*g + c*g + 30 = 0. Suppose -6*t**4 - 2*t**2 - t**4 + 3*t**4 + t**5 + q*t**3 = 0. What is t?
0, 1, 2
Let w be ((-3)/2)/(2/(-4)). Let s(l) = 4*l**2 - 5*l - 3. Let m(a) = -a**3 - 7*a**2 + 9*a + 5. Let k(x) = w*m(x) + 5*s(x). Solve k(j) = 0 for j.
-1, 0, 2/3
Let -7/4*j - 13/4*j**4 - 33/4*j**2 + 1/2 - 37/4*j**3 = 0. Calculate j.
-1, 2/13
Let n = 163 - 5867/36. Let g(p) be the third derivative of n*p**5 + 1/36*p**4 + 0*p + 0 + 0*p**3 - 4*p**2. Factor g(h).
h*(5*h + 2)/3
Let j = 28 - 25. Suppose -w = 2*z - 1, -4*z + 9 = -w - 2. Factor -p**z + 2*p**j - 3*p**4 - 3*p**4 + 5*p**4.
-p**2*(p - 1)**2
Factor 0 + 9/4*a**3 + 3/2*a - 3/4*a**5 - 3/4*a**4 + 15/4*a**2.
-3*a*(a - 2)*(a + 1)**3/4
Suppose -5*n + 6 = -9. Suppose 0 = -t - 2*a + 2 - n, -5*a + 2 = 4*t. Solve 6*x**t + x + x**4 + 11*x + 4 - x**2 + 14*x**2 = 0.
-2, -1
Let g(u) be the third derivative of -u**6/60 + u**5/15 + 7*u**2. Factor g(i).
-2*i**2*(i - 2)
Let f(g) = 4*g**2 - 2*g - 1. Let s be f(-1). Suppose 2*c - 5*c = 4*o - 20, -5*o = -s*c + 10. Factor -c*z**4 + z**3 + 4*z**4 + z**4.
z**3*(z + 1)
Let d be (-15)/(-28) + 30/(-105). Find s, given that 1/4*s**2 - d*s + 0 = 0.
0, 1
Suppose -2*w + 2 = -5*n + 7, 1 = -w + n. Let p be (w*(-1)/(-3))/2. Determine s so that 6/7*s**4 + 2/7*s**2 + 0 + 2/7*s**5 + 6/7*s**3 + p*s = 0.
-1, 0
Let q(o) be the second derivative of o**7/14 + o**6/2 + 3*o**5/2 + 5*o**4/2 + 5*o**3/2 + 3*o**2/2 - 2*o. Solve q(p) = 0 for p.
-1
Let g = 11 + -5. Determine l, given that 4*l - 1 + 2*l - g - 3*l**2 + 4 = 0.
1
Suppose -4*m = 3*o + o - 36, -3 = 3*m - 3*o. Let 2*v**m + 2*v**4 - v**2 - 5*v**4 + 0*v**2 - 2*v**3 = 0. Calculate v.
-1, 0
Find p, given that -32/11*p**2 - 12/11*p**4 - 2/11*p**5 - 4/11 - 28/11*p**3 - 18/11*p = 0.
-2, -1
Let l(m) be the third derivative of -m**5/30 + m**4/6 + m**3 + 21*m**2. Determine o, given that l(o) = 0.
-1, 3
Let s(o) be the second derivative of o**6/105 - o**5/35 + 2*o**3/21 - o**2/7 - 6*o. Solve s(i) = 0.
-1, 1
Factor o**4 - 61 + 60 - 2*o**3 + 2*o + 0*o**3 + 0*o.
(o - 1)**3*(o + 1)
Suppose -5*g + 34 = -31. Suppose -5*a + g = 3. Factor -3*m**2 + m**4 - m**3 + 4*m**a + 3*m**3.
m**2*(m + 1)**2
Let n(r) be the third derivative of -r**7/840 + r**5/120 - r**3/6 + 2*r**2. Let h(x) be the first derivative of n(x). Find k such that h(k) = 0.
-1, 0, 1
Solve -8/13*l + 0 - 2/13*l**2 = 0.
-4, 0
Let n = 380/7 - 54. Suppose 0*h + 2/7*h**2 - n = 0. Calculate h.
-1, 1
Factor -8/11 - 8/11*p + 2/11*p**3 + 2/11*p**2.
2*(p - 2)*(p + 1)*(p + 2)/11
Let h(u) = 11*u**2 + 23*u - 16. Let o(r) = 5*r**2 + 11*r - 8. Let a(q) = 4*h(q) - 9*o(q). Determine j so that a(j) = 0.
-8, 1
Factor 2/13*z**4 + 8/13 - 8/13*z + 4/13*z**3 - 6/13*z**2.
2*(z - 1)**2