3/4*w**3 = 0. What is w?
-1, 0
Suppose -21 = -3*k + 5*t, -t - 39 + 36 = 0. Factor 8/7*v + 5/7*v**k - 4/7.
(v + 2)*(5*v - 2)/7
Suppose 12 = v - 5*q, -5*v + 8*q - 13*q = 0. Factor 2/5*x**v - 4/5 - 2/5*x.
2*(x - 2)*(x + 1)/5
Let w(k) = -6*k**2 + 2. Let b(d) = -d**4 - 17*d**2 + 7. Let j(l) = 4*b(l) - 14*w(l). Factor j(p).
-4*p**2*(p - 2)*(p + 2)
Let z(u) be the first derivative of 9*u**3 + 2 + 3/4*u**4 + 81*u + 81/2*u**2. Solve z(q) = 0.
-3
Let z(p) = -7*p**5 - 11*p**4 - p**3 + 8*p**2 - 11*p + 11. Let v(w) = -2*w**5 - 3*w**4 + 2*w**2 - 3*w + 3. Let r(u) = -22*v(u) + 6*z(u). Factor r(f).
2*f**2*(f - 1)**2*(f + 2)
Solve 16 + 16*o - 6*o**2 + 24*o**2 - 14*o**2 = 0.
-2
Let b be -4 - (14/(-3) + (-2)/15). Let c = -333/5 + 67. Find d such that b - c*d**2 - 2/5*d = 0.
-2, 1
Suppose 3*y = 16 - 4. Let m(t) be the first derivative of -1/4*t**2 + 2 - 1/3*t**3 + 0*t - 1/8*t**y. Factor m(d).
-d*(d + 1)**2/2
Find y, given that -588/11*y**2 - 686/11*y**3 - 16/11 - 168/11*y = 0.
-2/7
Suppose 0 = -v - 2*v - 12. Let r(x) = 2*x**2 + 3*x + 1. Let f(d) = 6*d**2 + 9*d + 3. Let k(z) = v*f(z) + 14*r(z). Factor k(u).
2*(u + 1)*(2*u + 1)
Let v(c) be the second derivative of 0*c**2 + c - 1/12*c**4 + 0*c**3 + 2/21*c**7 - 3/20*c**5 + 0*c**6 + 0. Factor v(i).
i**2*(i - 1)*(2*i + 1)**2
Let i(n) = -n**2 + 7*n - 5. Let q be i(5). What is z in 2*z**5 - 3*z**5 - 3*z**q = 0?
0
Let i be (-2 - (3 + -7))/2. Suppose -2*l + i = -3. Solve -1/3 + 1/3*c**l + 1/3*c**3 - 1/3*c = 0.
-1, 1
Let u(w) be the second derivative of -w**5/390 - w**4/156 - 3*w**2 - w. Let q(m) be the first derivative of u(m). Factor q(g).
-2*g*(g + 1)/13
Suppose 3*j - 5 = 2*j. Suppose 2*t - 7 = 3*q, 3*t - 4*q + 5*q = j. Factor 6*v**2 + 2 + 6*v - 3*v + t*v + 3*v.
2*(v + 1)*(3*v + 1)
Factor 6*q**3 - 2*q**2 - 12*q**2 + 11*q + q**4 - 3 - 50*q**5 + 49*q**5.
-(q - 1)**4*(q + 3)
Let o(l) = 0 + 5 - 21*l + 4 + 22*l. Let x be o(-6). Factor -x*r**2 + 3/2*r + 0 + 3/2*r**3.
3*r*(r - 1)**2/2
Suppose 0 = -5*w + m + 6, w - 3*m + 2 - 6 = 0. Let f(h) = 3*h**2 - h. Let s be f(w). Determine a, given that a**4 - a**3 - 4*a + 3*a + 2*a**3 - a**s = 0.
-1, 0, 1
Let s(h) = 2*h**2 + 47*h - 71. Let k be s(-25). Find q, given that 2/7*q**k + 0 + 2/7*q - 2/7*q**3 - 2/7*q**2 = 0.
-1, 0, 1
Find p such that -2*p**2 - p**3 - 2*p**3 + 4*p**3 - 3*p = 0.
-1, 0, 3
Let f = 7 - 4. Factor -3*u**f + 2 + 2*u + u**2 - 4 + u**3 + u**2.
-2*(u - 1)**2*(u + 1)
Let v(i) be the second derivative of -i**6/12 - 3*i**5/4 - 65*i**4/24 - 5*i**3 - 5*i**2 - 15*i. Determine x, given that v(x) = 0.
-2, -1
Let t(y) be the first derivative of y**6/30 - y**5/5 + y**4/4 + y**3/3 - 3*y**2/5 - 3. Find b, given that t(b) = 0.
-1, 0, 1, 2, 3
Let d(f) be the first derivative of -4*f**3/27 - 8*f**2/9 + 20*f/9 + 6. Factor d(b).
-4*(b - 1)*(b + 5)/9
Suppose 0*q = 3*u + 2*q - 7, -4*u + 11 = q. What is a in -2/3*a**2 - 1/3*a**u + 0 - 1/3*a = 0?
-1, 0
Factor -12*o**2 + 4*o**4 + 22 + 4*o + 15 - 29 - 4*o**3.
4*(o - 2)*(o - 1)*(o + 1)**2
Let d(s) = s**3 + 3*s**2 - 11*s - 2. Let j be d(-5). What is h in -9/5*h**5 - 6/5*h**2 + 0 - 21/5*h**j - 24/5*h**4 + 0*h = 0?
-1, -2/3, 0
Let g be (1 + 3 - 3)/((-1)/(-2)). Let a(d) be the second derivative of 0 + 0*d**2 + 1/20*d**5 + g*d - 1/12*d**4 - 1/3*d**3. Factor a(l).
l*(l - 2)*(l + 1)
Suppose 5*x = 8 - 3. Let a(b) = b**3 - b**2 - b + 1. Let m(d) = 6 - 5*d**2 + 6*d**3 - 6*d + d**4 - 4*d**2 + 3*d**2. Let z(v) = x*m(v) - 6*a(v). Factor z(w).
w**4
Let i(m) be the first derivative of -147*m**5/80 - 7*m**4/4 - m**3/2 - 3*m - 4. Let g(l) be the first derivative of i(l). Solve g(n) = 0 for n.
-2/7, 0
Let r(j) be the third derivative of j**8/60480 - j**7/3780 + j**6/540 + j**5/20 + j**2. Let n(z) be the third derivative of r(z). Find l such that n(l) = 0.
2
Factor 28*t**3 + 12*t**3 - 57*t**2 - 5*t**4 - 23*t**2.
-5*t**2*(t - 4)**2
Let a(i) be the second derivative of -i**7/70 + 3*i**6/25 - 21*i**5/50 + 4*i**4/5 - 9*i**3/10 + 3*i**2/5 - 33*i. Factor a(m).
-3*(m - 2)*(m - 1)**4/5
Suppose 5*b - 2*b = b. Factor -1 + b*z**2 + 3/2*z - 1/2*z**3.
-(z - 1)**2*(z + 2)/2
Let f(u) be the third derivative of 2*u**7/105 + u**6/10 + 2*u**5/15 + u**2. Determine x, given that f(x) = 0.
-2, -1, 0
Let q(k) be the first derivative of k**6/900 - k**4/60 + 2*k**3/3 - 2. Let d(o) be the third derivative of q(o). Let d(w) = 0. Calculate w.
-1, 1
Suppose 366*w = 372*w - 12. Find s, given that -2/7*s**3 + 0 - 4/7*s + 6/7*s**w = 0.
0, 1, 2
Suppose v = 3*v. Let y be v/((-1)/((-2)/4)). Solve 4/9*b**3 - 2/9*b**5 + y*b**4 + 0 - 2/9*b + 0*b**2 = 0.
-1, 0, 1
Let h be 4/10 - (84/(-15) - -1). Let m(f) be the first derivative of -4/35*f**h + 0*f + 1/14*f**4 + 2 + 0*f**2 + 1/21*f**6 + 0*f**3. Factor m(a).
2*a**3*(a - 1)**2/7
Let b be 4/6 - (-4)/(-6). Factor 0*x + 0*x**3 + 4/9*x**4 + 0*x**2 + b - 10/9*x**5.
-2*x**4*(5*x - 2)/9
Let c be 3 + -5 + (8 - 0). Let x be (c/2)/(3 + -2). Let -m**4 + 3*m**x - 2*m**2 - m**4 + m**3 = 0. What is m?
0, 1
Let p(q) be the first derivative of -q**2 + 2 + 4/3*q**3 + q**4 + 3/10*q**5 + 0*q. Let c(x) be the second derivative of p(x). Factor c(t).
2*(3*t + 2)**2
What is a in 2/13*a**2 + 10/13*a + 0 = 0?
-5, 0
Factor -4/5 + 8/5*j**3 + 0*j**2 - 8/5*j + 4/5*j**4.
4*(j - 1)*(j + 1)**3/5
Factor 2 + 16/9*u - 2/9*u**2.
-2*(u - 9)*(u + 1)/9
Let u(v) be the first derivative of -1 + 0*v**3 + 0*v - 1/80*v**5 - 1/48*v**4 - 2*v**2. Let h(x) be the second derivative of u(x). Suppose h(d) = 0. What is d?
-2/3, 0
Let p = -14 + 17. Factor 137*g**3 + 274*g**2 + 108 + 4*g**5 + 324*g + 47*g**p + 86*g**2 + 44*g**4.
4*(g + 1)**2*(g + 3)**3
Let o(p) be the second derivative of -2/15*p**6 - 1/6*p**3 + 0*p**2 - 1/3*p**4 - 3/10*p**5 + 0 - 1/42*p**7 + 2*p. Find r such that o(r) = 0.
-1, 0
Let r(d) be the third derivative of d**6/720 + d**5/180 - 13*d**4/144 + 5*d**3/18 - 13*d**2 + 1. Factor r(k).
(k - 2)*(k - 1)*(k + 5)/6
Let o = 90 - 85. Let l(t) be the second derivative of 0*t**2 + 1/30*t**3 + 1/150*t**6 - 1/100*t**o - 1/60*t**4 + 0 - t. Factor l(v).
v*(v - 1)**2*(v + 1)/5
Let s(v) be the first derivative of -3/5*v**5 + 1/2*v**4 + 1/6*v**6 - 3/2*v**2 + 2/3*v**3 + v + 3. Factor s(h).
(h - 1)**4*(h + 1)
Let m(w) = -w**4 - w**3 + 1. Let q(r) = -7*r**4 - 13*r**3 - 12*r**2 - 8*r + 3. Let s(h) = -5*m(h) + q(h). Factor s(i).
-2*(i + 1)**4
Suppose -3*s = -2*s + 4. Let i be (88/(-6))/s + -3. Factor 2/3*q**2 + i - 4/3*q.
2*(q - 1)**2/3
Let j(k) be the first derivative of k**6/18 - k**4/4 - 2*k**3/9 - 29. Determine z, given that j(z) = 0.
-1, 0, 2
Let w = 2/51 - 7/612. Let a(o) be the second derivative of -1/9*o**3 - w*o**4 - 1/6*o**2 + o + 0. Let a(p) = 0. What is p?
-1
Let a(l) be the second derivative of -l**5/4 + 5*l**4/3 - 5*l**3/6 - 15*l**2 + 13*l. Solve a(q) = 0 for q.
-1, 2, 3
Factor q**4 - 161*q**3 + 161*q**3.
q**4
Let c(d) = -9*d**3 + d**2 + 3. Let o(m) = -9*m**3 + 2. Let p be (-24)/(-9) - 4/6. Let y(f) = p*c(f) - 3*o(f). Solve y(q) = 0 for q.
-2/9, 0
Let z(m) be the first derivative of 2/25*m**5 - 4 - 1/5*m**2 - 3/10*m**4 + 0*m + 2/5*m**3. Factor z(g).
2*g*(g - 1)**3/5
Let v(o) be the second derivative of 0 + o + 4/3*o**3 - 23/30*o**4 - 4/5*o**2 + 7/50*o**5. What is r in v(r) = 0?
2/7, 1, 2
Factor 0*w**2 - 2*w**2 + w**3 + 3*w**2.
w**2*(w + 1)
Suppose -2*m = -4*n - 4, -n + 2*n + 3*m = 6. Let u(i) be the first derivative of -1/2*i**4 + 3*i**2 - 4*i + n*i**3 - 1. Factor u(x).
-2*(x - 1)**2*(x + 2)
Let o be ((-6)/30)/(6/(-45)). Determine u so that 0*u**4 - 3/2*u**3 + o*u**5 + 0*u**2 + 0*u + 0 = 0.
-1, 0, 1
Let p = 1/180 - -353/1260. Determine d, given that 2/7*d + p*d**2 - 4/7 = 0.
-2, 1
Let d(g) be the third derivative of -1/112*g**8 + 1/20*g**6 + 0*g**7 + 0*g + 0*g**3 - 1/8*g**4 + 3*g**2 + 0 + 0*g**5. Determine w, given that d(w) = 0.
-1, 0, 1
Let k(w) = 2*w - 4. Let q be k(4). Suppose -2*h + 4*h = q. Factor -2*v**h + 2*v**3 + 2*v**4 - 5*v + 0*v + 3*v + 0*v.
2*v*(v - 1)*(v + 1)**2
Let q(l) = -l**4 + l**3 - 1. Let i(u) = u**4 - 11*u**3 + 2*u**2 + 8*u + 3. Let k(o) = -i(o) - 3*q(o). Factor k(j).
2*j*(j - 1)*(j + 1)*(j + 4)
Let o(r) be the second derivative of r**6/120 - r**4/16 + r**3/12 + 3*r. What is d in o(d) = 0?
-2, 0, 1
Solve -1/4*d**2 + 21/2*d - 441/4 = 0.
21
Let l(n) = n**3 + 5*n**2 - 7*n - 3. Let g be l(-6). Factor 36*f**2 + 14*f**g + 16/7 + 120/7*f.
2*(f + 2)*(7*f + 2)**2/7
Let w(j) be t