 + 16. Let m be p/(-6) + (-7)/(-3). Find a such that 0*a + 1/4*a**3 + 0 - 1/2*a**m = 0.
0, 2
Let k = -8 - -13. Suppose -10 = -k*m - 0*m. Let -c**3 + c**3 - 2*c**m + 2*c**3 = 0. Calculate c.
0, 1
Suppose -2*h + 10 = -0*h. Solve 3 - h + 9*f**2 + 12*f - 3*f + 4 = 0.
-2/3, -1/3
Suppose 2*v - 10 = -v - 2*o, 4*o - 20 = 2*v. Let g = 62 + -308/5. Factor v*j + 0 - g*j**2.
-2*j**2/5
Suppose -48*k**2 + k**3 + 0*k**3 + 10*k**3 + 192*k - 7*k**3 - 256 = 0. What is k?
4
Let o(s) be the second derivative of -7/12*s**4 + 0 + 3*s - 1/3*s**3 + 0*s**2. Find w, given that o(w) = 0.
-2/7, 0
Let u(m) be the first derivative of m**5/120 - m**4/16 + m**3/6 + 3*m**2/2 + 3. Let q(x) be the second derivative of u(x). Factor q(c).
(c - 2)*(c - 1)/2
Let w(n) = 9*n**2 - 8*n. Let q be 3/(1 + -10)*15. Let g(m) = 5*m**2 - 4*m. Let a(p) = q*g(p) + 3*w(p). Factor a(j).
2*j*(j - 2)
Factor 1/4*o**2 + 0 + 0*o - 1/4*o**3.
-o**2*(o - 1)/4
Let m(w) = 55*w**3 + 41*w**2 - 40*w + 8. Let n(o) = 7*o**3 + 5*o**2 - 5*o + 1. Let v(b) = 6*m(b) - 51*n(b). Determine s so that v(s) = 0.
-1, 1/3
Let o = 1496/3447 + 4/383. Find w such that 0 + 2/9*w**2 + o*w - 2/9*w**3 = 0.
-1, 0, 2
Let u(l) = -2*l**2 - l - 5. Let f(j) = 11*j**2 + 6*j + 29. Let v(q) = 6*f(q) + 34*u(q). Solve v(p) = 0.
-1, 2
Let n(q) be the third derivative of q**7/70 + 3*q**6/40 + q**5/20 - 3*q**4/8 - q**3 - 8*q**2. Factor n(x).
3*(x - 1)*(x + 1)**2*(x + 2)
Let p = 2 + 0. Determine v, given that -4*v**2 - p*v**2 + 0*v**2 + 4*v**2 = 0.
0
Let 0*b**2 - 6*b + 2*b + b**2 + 5*b = 0. What is b?
-1, 0
Let p be ((-6)/(-3))/((-4)/(-6)). Suppose -p*m = -8*m + 20. Let -8*j**3 - 13*j**3 - m*j + 20*j**2 - 4*j**3 = 0. What is j?
0, 2/5
Suppose 2*a - g = 7, -2*g = -2*a - 5*g - 5. Suppose -2*t = -t + a*u - 8, -2*t + 13 = 3*u. Factor 2*k**3 + 2*k**2 - k**2 + 3*k**t.
2*k**2*(k + 2)
Let x be (-6)/21 - (-111)/21. Let w be (12/12)/(x - 0). Suppose 1/5*i - 1/5*i**2 - w*i**3 + 1/5 = 0. What is i?
-1, 1
Let w = 11 - 5. Suppose 0 + 0 + 2 + 4*z - w - z**2 = 0. What is z?
2
Let i(d) = -14*d - 54. Let t be i(-4). Factor 1/2*w**3 - 1/2*w**4 - 1/2*w + 0 + 1/2*w**t.
-w*(w - 1)**2*(w + 1)/2
Let k be 2 + (-3 - -1 - -3). Let -3*g**4 - 4*g**3 - 5*g - g + 10*g**k + 3 = 0. Calculate g.
-1, 1
Let i = -11245/3 - -3781. Let d(o) be the first derivative of -98/5*o**5 - 74/9*o**3 - 3 + i*o**4 + 8/3*o - 16/3*o**2. Suppose d(r) = 0. What is r?
-2/7, 2/7, 1/3, 1
Let d(c) be the first derivative of -5*c**6/9 - 14*c**5/15 + c**4/2 + 14*c**3/9 + 2*c**2/3 - 2. Find x, given that d(x) = 0.
-1, -2/5, 0, 1
Let r = -1 - 0. Let l = 4 + r. Factor 5*d - d**3 - d**l - 3*d.
-2*d*(d - 1)*(d + 1)
Suppose 0 = -2*m + 5*t - 4, 2*m + 2*t = 2 - 6. Let k(r) = -r**2 - r - 4. Let b(y) = y**2 + 5. Let l(j) = m*b(j) - 3*k(j). Factor l(w).
(w + 1)*(w + 2)
Let g(h) be the first derivative of h**5/20 + h**4/8 + 7*h**2/2 - 1. Let u(b) be the second derivative of g(b). What is o in u(o) = 0?
-1, 0
Let s(p) = -4*p**2 - 6*p - 8. Let r(b) = 3*b**2 + 5*b + 7. Let d(k) = -6*r(k) - 5*s(k). Find v such that d(v) = 0.
-1, 1
Let u = -18 - -22. Let h be ((-10)/125)/(u/(-20)). Find p such that -2/5*p + 2/5*p**3 - 2/5 + h*p**2 = 0.
-1, 1
Let f(c) be the first derivative of c**5/5 - c**4/4 - 2*c**3/3 + 12. Factor f(v).
v**2*(v - 2)*(v + 1)
Let a be 5/2 - 1/(-2). Let d be 6 + 0 + a + -5. Factor -5*t**d - 6*t**2 + 3*t**4 + 0*t**4 + 2*t + 6*t**3.
-2*t*(t - 1)**3
What is j in 0*j - 5/6 + 5/6*j**2 = 0?
-1, 1
Suppose z - 3 = -4*o + 5, 2*o - 4 = -3*z. Let f(s) be the second derivative of -2/3*s**3 - 7/6*s**4 - 2/5*s**5 + 0 - o*s + s**2. Suppose f(a) = 0. What is a?
-1, 1/4
Let 79*y**2 + 3*y**3 + 2*y - 3*y**4 - 78*y**2 - 7*y**3 = 0. Calculate y.
-1, 0, 2/3
Let v(w) be the second derivative of -w**5/80 - w**4/48 + 29*w. Let v(f) = 0. What is f?
-1, 0
Let z be (1 + (-1 - 0))/((-10)/(-5)). Let 2/9*v**3 - 2/9*v**2 + z + 0*v = 0. What is v?
0, 1
Let z = 34 - 30. Let j(v) be the third derivative of 0 + v**2 - 1/21*v**3 + 1/42*v**z - 1/210*v**5 + 0*v. Determine m so that j(m) = 0.
1
Let k be 3/12 + 21/12. Solve -2 + a**4 + 0*a**5 + 2*a + 0*a**5 + 4*a**2 + k*a**5 - 4*a**3 - 3*a**4 = 0.
-1, 1
Let b be 5 - (912/40)/6. Find l such that 0 - 2/5*l**2 + b*l = 0.
0, 3
What is w in 0 + 1/7*w**3 - 2/7*w**2 + 1/7*w = 0?
0, 1
Let s = 1/1314 + 328/657. Factor 0*i**3 + 0*i - i**2 + s + 1/2*i**4.
(i - 1)**2*(i + 1)**2/2
Let k be 6 + 0 + -2 - -1. Suppose -12 = -k*w + 3. Find q, given that -5*q**w - 4*q**2 - 4*q**4 - 1 - q**5 - q + 1 - q**3 = 0.
-1, 0
Suppose 1/4*x**5 - 5/4*x**3 + 3/4*x**2 + 0*x + 1/4*x**4 + 0 = 0. What is x?
-3, 0, 1
Let b(i) be the second derivative of i**6/180 + i**5/24 + i**4/9 + i**3/9 - 4*i. Suppose b(m) = 0. Calculate m.
-2, -1, 0
Suppose 1 = -2*v + 9. Let -u**5 - u**2 - u**2 - 3*u**v + 2*u**2 - 3*u**3 - u**2 = 0. Calculate u.
-1, 0
Let r be 17/6*14/(-21). Let i = -1 - r. Find g, given that 10/9*g + 2/9*g**3 + i*g**2 + 4/9 = 0.
-2, -1
Let u(s) be the third derivative of -49*s**8/24 + 154*s**7/15 - 14*s**6/3 - 424*s**5/15 - 76*s**4/3 - 32*s**3/3 + 58*s**2. Suppose u(n) = 0. What is n?
-2/7, 2
Let g = -20 + 51. Suppose 5*a = g - 6. Factor -a*u + 0*u - 3*u**2 + 3*u + 5*u**3.
u*(u - 1)*(5*u + 2)
Let p(m) be the third derivative of -m**2 + 0 - 2/15*m**3 + 0*m - 1/300*m**5 + 1/30*m**4. Suppose p(r) = 0. What is r?
2
Let x(r) be the first derivative of 2*r + 7/36*r**4 - 1/3*r**2 + 5/18*r**3 + 1. Let k(g) be the first derivative of x(g). Factor k(j).
(j + 1)*(7*j - 2)/3
Let w be (0 - (-10)/8)/(9/36). Let v(g) be the second derivative of g + 1/3*g**3 + 0*g**4 + 1/30*g**6 + 0 - 1/2*g**2 - 1/10*g**w. Factor v(r).
(r - 1)**3*(r + 1)
Suppose -2 = t + 2. Let u be (t/6)/((-8)/36). Determine x so that -3*x**3 - 7*x + u*x**3 - 3*x**3 - 3 - 2*x - 9*x**2 = 0.
-1
Let v be 7 + 0*3/6. Let j(r) = 2*r**4 + 2*r**3 - 6*r. Let y(m) = 2*m**4 + 2*m**3 - 7*m. Let t(w) = v*j(w) - 6*y(w). Solve t(s) = 0 for s.
-1, 0
Let x(v) be the third derivative of -v**6/480 + v**4/32 - v**3/6 + v**2. Let w(s) be the first derivative of x(s). Suppose w(r) = 0. What is r?
-1, 1
Suppose -26 + 22 = -2*t. Determine o so that -4/3*o**3 - 14/3*o + 14/3*o**t + 4/3 = 0.
1/2, 1, 2
Let l = -2/107 - -656/749. Let 0 + 2/7*u**5 + 2/7*u**3 - 6/7*u**4 - 4/7*u + l*u**2 = 0. Calculate u.
-1, 0, 1, 2
Factor -10/3*c**2 - 4/3 + 14/3*c.
-2*(c - 1)*(5*c - 2)/3
Let a(i) be the first derivative of i**5/5 - i**4/4 - 2*i**3/3 + 44. Factor a(f).
f**2*(f - 2)*(f + 1)
Let x = -14/27 - -83/108. Determine g so that x*g**2 + 1/4*g**3 + 0 + 0*g = 0.
-1, 0
Suppose 0 = 2*w - w - 4. Factor 4 + 4*o - w*o**2 + 3*o + 6*o**2 - o.
2*(o + 1)*(o + 2)
Suppose 24 = 7*h - 3*h. Factor -2*k**3 + h*k**3 - 3*k**3.
k**3
Let u = -132 - -141. Suppose -27/2 - 3/2*o**2 - u*o = 0. What is o?
-3
Let x(j) be the first derivative of 2*j**5/25 - 3*j**4/10 + 2*j**3/5 - j**2/5 - 14. Factor x(v).
2*v*(v - 1)**3/5
Suppose 5*h + 17 - 2 = 0. Let u be 4 - h/(0 - 3). Suppose 36/5*o - 18/5*o**2 + 3/5*o**u - 24/5 = 0. Calculate o.
2
Let v(k) = -k**2 + 8*k. Let p be v(4). Let 3*f**2 + f**3 - p*f**3 - 6*f**3 + 3*f**2 = 0. Calculate f.
0, 2/7
Let p(l) be the third derivative of -3*l**6/80 + l**5/4 - 3*l**4/16 - 30*l**2. Factor p(r).
-3*r*(r - 3)*(3*r - 1)/2
Let n(i) be the third derivative of 0*i**5 - 1/72*i**4 + 0*i + 0 - i**2 + 0*i**3 + 1/360*i**6. Let n(v) = 0. Calculate v.
-1, 0, 1
Let h = 2 + -1. Find m such that -1/2*m**3 + h - m**2 + 1/2*m = 0.
-2, -1, 1
Let n(c) be the third derivative of -c**7/210 - c**3/3 + 2*c**2. Let h(v) be the first derivative of n(v). Factor h(w).
-4*w**3
Let g(p) be the third derivative of 7*p**6/600 - 23*p**5/300 - 11*p**4/60 + 4*p**3/15 - 21*p**2. Suppose g(q) = 0. Calculate q.
-1, 2/7, 4
Suppose 2*g - w + 6*w = -3, -4*g - 3*w + 15 = 0. Suppose g*q - 3 = 5*q. Solve 2*z**3 - 4*z**2 + 5*z**2 + 0*z**q + z**2 = 0 for z.
-1, 0
Let l be -21*(16/6)/4. Let h(j) = -4*j**4 - 20*j**3 + 24*j**2 - 14*j - 14. Let m(y) = y**4 + 4*y**3 - 5*y**2 + 3*y + 3. Let p(x) = l*m(x) - 3*h(x). Factor p(a).
-2*a**2*(a - 1)**2
Let q(m) = -3*m**3 - 11*m**2 - 6*m + 2. Let d(y) = -3*y**3 - 12*y**2 - 6*y + 3. Let o(a) = -a - 4. Let v be o(-7). Let w(n) = v*q(n) - 2*d(n). Factor w(j).
-3*j*(j + 1)*(j + 2)
Let w(x) be the second derivative of -1/4*x**2 + 0 - 7/12*x**3 - 5/12*x**4 + 9/20*x**6 - 9/28*x**7 - x + 9/20*x**5. Solve w(t) = 0.
-1