w**2 + 2/5*w**h + 0*w = 0.
0, 2
Let c = 0 + -4. Let w(f) = 8*f**3 - 26*f**2 - 35*f - 1. Let b(d) = 3*d**3 - 9*d**2 - 12*d. Let q(n) = c*w(n) + 11*b(n). Find x, given that q(x) = 0.
-2, -1
Let u = 173 + -171. Factor 0*y**3 + 1/6*y**4 + 0*y**u + 0*y + 0.
y**4/6
Let u(t) be the first derivative of -t**3/3 - 3*t**2/2 - 6. Factor u(m).
-m*(m + 3)
Let v be (4/(-3))/(7/(-21)). Let b(h) be the first derivative of 2 + 1/14*h**v - 2/7*h**2 + 0*h - 2/21*h**3. Factor b(l).
2*l*(l - 2)*(l + 1)/7
Let w(o) be the first derivative of -o**7/42 + o**5/20 + 2*o - 2. Let x(a) be the first derivative of w(a). Factor x(l).
-l**3*(l - 1)*(l + 1)
Let q(n) be the third derivative of 0*n**4 + 1/15*n**5 + 0 + 0*n + 4*n**2 + 0*n**3 - 1/60*n**6. Let q(l) = 0. Calculate l.
0, 2
Suppose -7*y = -3*y - 20. Suppose -s + 0*f = 4*f - 1, s - 1 = y*f. Factor 0*r - 3/4*r**2 + 1/4*r**3 + s.
(r - 2)**2*(r + 1)/4
Let l = 4 - 1. Suppose l*y = 9, 6*y - 2*y - 9 = o. Find f such that -7 + 4*f - 2*f**2 + f**2 + o = 0.
2
Let t(h) be the first derivative of h**7/840 - 2*h**3 - 1. Let w(p) be the third derivative of t(p). Determine i, given that w(i) = 0.
0
Let q(p) be the second derivative of -1/5*p**2 - 2*p + 1/30*p**4 + 0*p**3 + 0. Factor q(b).
2*(b - 1)*(b + 1)/5
Suppose 0 = 5*y - 12 + 2. Suppose -y*b - 3*z = 2*b, 4*b = 2*z. Solve 0*v - 2/3*v**2 + b + 1/3*v**3 = 0.
0, 2
Let b(u) be the first derivative of u**5/3 + 5*u**4/12 - 5*u**3/3 - 25*u**2/6 - 10*u/3 + 23. Find n such that b(n) = 0.
-1, 2
Let j(v) = -35*v**3 - v**2 - v + 1. Let f be j(1). Let x be 4*((-38)/f + -1). Factor 4/9*t**4 + x*t**5 + 0*t**2 + 0*t + 2/9*t**3 + 0.
2*t**3*(t + 1)**2/9
What is p in -p - 18*p**2 + 9*p + 2*p - 4 + 12*p = 0?
2/9, 1
Let c be (-2)/2 + (-104)/(-96). Let l(g) be the third derivative of -g**2 - 1/30*g**5 - 1/240*g**6 - c*g**4 + 0 + 0*g**3 + 0*g. Find v such that l(v) = 0.
-2, 0
Let m be (-74)/1*11/(-110). Let d = m - 7. Let 4/5*q**2 - 6/5*q + d = 0. Calculate q.
1/2, 1
Let b = 232/3 + -4414/57. Let z = b - -52/133. Factor -z*w**4 + 0 + 0*w + 8/7*w**3 - 8/7*w**2.
-2*w**2*(w - 2)**2/7
Let m(u) be the first derivative of -u**3/3 - 7*u**2/2 + 10*u - 2. Let a be m(-8). Factor -2/3*q - 1/3*q**a - 1/3.
-(q + 1)**2/3
Let i(d) be the third derivative of 5*d**8/756 - 4*d**7/105 - d**6/15 + 56*d**5/135 + 23*d**4/18 + 4*d**3/3 - 16*d**2. Solve i(j) = 0.
-1, -2/5, 3
Suppose -7*j + 1 = -6*j. Let l be (-14)/5 - (-4 + j). Factor 0*z**3 + l*z**4 + 0*z + 0*z**2 + 0.
z**4/5
Factor 16*v**2 - 3*v**5 - v**5 - 55*v**4 + 43*v**4.
-4*v**2*(v - 1)*(v + 2)**2
Let x(f) be the second derivative of -f**4/27 - 2*f**3/27 + 4*f**2/9 - 14*f. Suppose x(t) = 0. What is t?
-2, 1
Let q(v) = -v - 2. Suppose 6 = 5*a + 31. Let h be q(a). Let 0*f**2 + 0 - 1/3*f + 1/3*f**h = 0. Calculate f.
-1, 0, 1
Let o = -3/112 - -5/16. Determine g, given that 0 + o*g + 2/7*g**2 = 0.
-1, 0
Suppose 4 = y + y. Factor -6*w**3 + 8*w**2 - 2*w - 2 + 7*w**2 - 5*w**y.
-2*(w - 1)**2*(3*w + 1)
Suppose 2*x + 4*y + y = 27, 5*x - 10 = -y. Suppose -a + 4 - 2 = 0. Factor -k**a + x + 0 - k**3 - 1.
-k**2*(k + 1)
Let u(g) be the second derivative of -g**4/6 - 28*g**3/3 - 196*g**2 - 5*g + 4. Factor u(r).
-2*(r + 14)**2
Let k(v) be the third derivative of v**10/105840 - v**8/23520 - v**4/24 - 6*v**2. Let z(q) be the second derivative of k(q). Factor z(m).
2*m**3*(m - 1)*(m + 1)/7
Suppose a - 4*a = 0, 0 = 3*q + 3*a - 6. Let c(p) be the third derivative of -2/21*p**3 - 2/105*p**5 + 3/28*p**4 + 0 - q*p**2 + 0*p. Let c(z) = 0. What is z?
1/4, 2
Let o(g) be the second derivative of 2*g**7/21 + 4*g**6/15 + g**5/5 - 7*g. Suppose o(d) = 0. What is d?
-1, 0
Factor -4*w**4 + 123*w - 61*w + 12*w**2 - 54*w.
-4*w*(w - 2)*(w + 1)**2
Let n(b) be the second derivative of 3/20*b**5 - 1/2*b**3 + 0*b**4 + 0*b**2 + 0 + 4*b. Solve n(f) = 0 for f.
-1, 0, 1
Determine q, given that -4/3*q**2 - 2/3*q**5 + 2/3 + 4/3*q**3 + 2/3*q**4 - 2/3*q = 0.
-1, 1
Let g(c) be the first derivative of -c**6/1080 - c**5/360 - c**3/3 - 1. Let p(y) be the third derivative of g(y). Factor p(a).
-a*(a + 1)/3
Factor 32/3*j**2 + 2/3*j**4 + 16/3*j**3 + 0 + 0*j.
2*j**2*(j + 4)**2/3
Factor 16 + 30*x**4 + x**5 + 126*x**2 + 4*x**5 - 6 + 45*x + 70*x**3 - 46*x**2.
5*(x + 1)**4*(x + 2)
Let u(y) = -2*y**3 - 8*y**2 - 6*y - 4. Let j(v) = 6*v**3 + 25*v**2 + 18*v + 13. Let g(h) = 2*j(h) + 7*u(h). Let g(b) = 0. Calculate b.
-1
Let i(p) be the first derivative of -p**5/35 + p**4/28 + p**3/21 - p**2/14 + 6. Find k, given that i(k) = 0.
-1, 0, 1
Let -50*y**5 - 173/2*y**2 - 1 - 409/2*y**3 - 365/2*y**4 - 31/2*y = 0. Calculate y.
-2, -1, -1/4, -1/5
What is r in -r - r**3 - 3 + 8*r**3 - 6*r**3 + 3*r**2 = 0?
-3, -1, 1
Let h = 63/134 - -2/67. Let n(z) be the first derivative of -2 + h*z**4 + 0*z**3 - z**2 + 0*z. Suppose n(i) = 0. Calculate i.
-1, 0, 1
Suppose -b - 5*v = 8, v - 3*v = -b - 36. Let q be 2/b*(-1 - 15). Solve 2/7*z**2 + q - 8/7*z = 0.
2
Let c(z) = z**2 - 10*z + 4. Let d be c(10). Factor 7*y**2 + 2*y**4 - y**d + 8*y**3 + 2*y + 3*y**4 - y**4.
y*(y + 1)**2*(3*y + 2)
Let s(m) be the second derivative of m**7/231 - 2*m**6/165 - m**5/55 + 4*m**4/33 - 7*m**3/33 + 2*m**2/11 - 4*m. Determine l so that s(l) = 0.
-2, 1
Let d be ((-5)/10)/((-1)/2). Let l be ((-2)/(-6))/(d - 0). Let l + 2/3*m + 1/3*m**2 = 0. Calculate m.
-1
What is m in -4*m**5 + 12*m**2 - m - 4*m**3 + 24 - 24 - 12*m**4 + 9*m = 0?
-2, -1, 0, 1
Suppose 3*p - 4 = 4*f, -2*f - 6*p + 24 = -p. Factor 4*v**3 - f*v**3 - 4*v**3 + 4*v**2 - 2*v.
-2*v*(v - 1)**2
Factor 6*b + 0 - 30*b**2 + 27/2*b**5 + 45*b**4 + 39/2*b**3.
3*b*(b + 2)**2*(3*b - 1)**2/2
Suppose 0 = 2*f + f - 12. Suppose 4*o = -3*d + 22, 0*d + f*o = d + 14. Find y such that 4*y**d - y - 5*y**2 + 2*y = 0.
0, 1
Let m(u) = 7*u**2 + 2*u + 16. Let x(l) = -8*l**2 - l - 16. Let r(b) = 7*m(b) + 6*x(b). Determine q so that r(q) = 0.
-4
Let w(x) be the second derivative of 0*x**3 + 0*x**2 + x - 1/12*x**4 + 0. Factor w(i).
-i**2
Let n(d) be the third derivative of d**8/448 + d**7/280 - d**6/160 - d**5/80 + 5*d**2. Let n(k) = 0. Calculate k.
-1, 0, 1
Let v = 3549 + -234227/66. Let o(c) be the second derivative of 2/33*c**3 - v*c**4 + 0 + 0*c**2 - 9/110*c**5 + c. Factor o(x).
-2*x*(x + 1)*(9*x - 2)/11
Let v(t) be the second derivative of 0*t**2 + 0 - 1/15*t**3 - 2*t - 3/50*t**5 - 1/75*t**6 - 1/10*t**4. Factor v(a).
-2*a*(a + 1)**3/5
Let w(a) be the second derivative of -a**5/20 + a**3/6 + 8*a. Let d(k) = -11*k**3 - 2*k**2 + 13*k. Let y(z) = 2*d(z) - 18*w(z). Suppose y(s) = 0. What is s?
-2, 0, 1
Factor -1/7 + 1/7*h - 1/7*h**3 + 1/7*h**2.
-(h - 1)**2*(h + 1)/7
Let l(v) = v - 2. Let w be l(5). Suppose 0*p + 6 = 3*p. Factor -7*r**2 - r**w + 7*r**p + r.
-r*(r - 1)*(r + 1)
Let c(g) = 5 - 2*g**2 - 8*g - 3*g**2 + 4*g**2. Let k be c(-8). Solve 4*s**5 - 6*s**k + s**3 + s**5 = 0 for s.
-1, 0, 1
Let i be 15 - 1*1/(-1). Let k be (-6)/8 - (i + -17). Factor k*l**2 - 1/2*l**3 + 0 + 1/4*l**4 + 0*l.
l**2*(l - 1)**2/4
Factor 58/9*a + 4/3 + 38/9*a**2 - 8/9*a**3.
-2*(a - 6)*(a + 1)*(4*a + 1)/9
Let m(o) be the second derivative of 0*o**3 + 1/36*o**4 + 0 + 0*o**5 - 1/180*o**6 - 2*o - 1/12*o**2. Factor m(y).
-(y - 1)**2*(y + 1)**2/6
Determine l, given that -339*l + 172*l + 12*l**2 + 171*l = 0.
-1/3, 0
Let a(z) = 8*z**5 - z**4 - 8*z**3 - 6*z**2 + 7. Let u be (-2)/11 + (-40)/22. Let b(i) = -i**5 + i**3 + i**2 - 1. Let w(p) = u*a(p) - 14*b(p). Factor w(j).
-2*j**2*(j - 1)**2*(j + 1)
Let t(i) be the third derivative of -7*i**6/120 + 2*i**5/5 - 5*i**4/24 - 2*i**3 + 3*i**2 + 14*i. Let t(x) = 0. What is x?
-4/7, 1, 3
Let v be (52/234)/((-1)/(-3)). Let 0*y + v*y**3 + 0 - 4/3*y**2 = 0. Calculate y.
0, 2
Let f(m) be the first derivative of -m**2/2 - 5*m - 2. Let n be f(-5). Let -2/5*k**2 + n*k + 0 + 0*k**3 + 2/5*k**4 = 0. Calculate k.
-1, 0, 1
Determine i, given that 9 + 9/2*i**5 - 51/2*i - 21*i**4 + 12*i**2 + 21*i**3 = 0.
-1, 2/3, 1, 3
Let z = 2 + -3. Let s be (-4 + 126/33)*z. Factor -4/11*g**3 + 2/11*g**5 + s*g**4 + 2/11*g - 4/11*g**2 + 2/11.
2*(g - 1)**2*(g + 1)**3/11
Factor -12/7*z**2 + 0 + 0*z + 16/7*z**3 - 4/7*z**4.
-4*z**2*(z - 3)*(z - 1)/7
Factor 49*g**5 + 4*g - 7*g**3 + g**3 - 2*g**4 - 47*g**5 + 2*g**2.
2*g*(g - 2)*(g - 1)*(g + 1)**2
Factor -6/5 - 2/5*h**2 + 8/5*h.
-2*(h - 3)*(h - 1)/5
Let f(v) = -2*v + 8. Let m be f(7). Let d be m/4 - (-6)/4. Let d + 2/9*j + 2/9*j