r + 2*n, 0 = -3*n - 15. Let z(q) be the second derivative of 0*q**2 - 5/48*q**4 + 1/24*q**r + 1/20*q**5 - q + 0. Let z(l) = 0. What is l?
0, 1/4, 1
Let q(d) = -3*d**2 - 6*d. Let i(m) = -m**2 - 2*m. Let t(z) = 14*i(z) - 4*q(z). Determine o so that t(o) = 0.
-2, 0
Let x be 15/(-6)*56/(-5). Let h = x - 24. Factor -2/5*p**h + 6/5*p**2 + 4/5 + 2*p - 2/5*p**3.
-2*(p - 2)*(p + 1)**3/5
Suppose 4*r = -8, 0*q + 11 = 5*q + 2*r. Factor 2*x + q*x**3 + 2*x**2 - x - 2*x**3.
x*(x + 1)**2
Let p(w) be the third derivative of 0 + 1/60*w**6 - 1/105*w**7 + 0*w**5 - w**2 + 0*w**4 + 0*w + 0*w**3. Factor p(l).
-2*l**3*(l - 1)
Let l(p) be the third derivative of p**6/36 - p**5/30 - p**4/3 - 4*p**3/9 + 13*p**2. What is z in l(z) = 0?
-1, -2/5, 2
Let c(p) = -p**2 + 5*p - 2. Let g be c(3). Let m = 6 - g. Suppose -b**2 + 2*b**2 - m*b**3 + 3*b**3 = 0. Calculate b.
-1, 0
Let j(i) = -i**2 + 9*i + 2. Let g be j(8). Let r = 16 - g. Determine y, given that -2*y**4 + r*y**4 - 4*y**2 + 2*y + 7*y**5 - 9*y**5 = 0.
-1, 0, 1
Suppose 4*b = 3*b - 2. Let m(g) = 1. Let x(z) = -2*z**2 - z + 5*z**2 + 7 - 4*z**2. Let i(d) = b*x(d) + 10*m(d). Solve i(j) = 0 for j.
-2, 1
Factor 35*w**2 + 4 - 12*w**2 + 21*w**2 + 32*w + 20*w**2.
4*(4*w + 1)**2
Suppose 3*z - 26 = -80. Let r be 6/(-27) + (-4)/z. Suppose r + 2/3*h**2 + 4/3*h = 0. Calculate h.
-2, 0
Let i(h) = -h**3 - 5*h**2. Let q be i(-5). Suppose -2*c + 4 + 2 = q. Find o such that -1/2*o**c + 0*o + 0 + 0*o**2 = 0.
0
Let q(b) be the first derivative of -b**4/4 + 8*b**3/9 - 7*b**2/6 + 2*b/3 - 4. What is j in q(j) = 0?
2/3, 1
Determine c, given that -3*c**3 + c**3 - 1118*c**2 + c + 1119*c**2 = 0.
-1/2, 0, 1
Let n(v) be the third derivative of -v**6/900 + v**4/60 + 2*v**3/45 - 8*v**2 + 2*v. Factor n(b).
-2*(b - 2)*(b + 1)**2/15
Let w be -2 - (-24)/(-30) - (-9)/3. Determine c so that 4/5*c**2 + w*c**3 + 0 + 4/5*c = 0.
-2, 0
Let j = 15 + -9. Let q be 0 + (j/4)/1. Factor -1 - q*p - 1/2*p**2.
-(p + 1)*(p + 2)/2
Determine n so that 0 + 7/4*n**2 - 9/4*n**3 - 1/4*n**5 - 1/2*n + 5/4*n**4 = 0.
0, 1, 2
Let h be (30/(-40))/((-3)/8). Suppose b**5 + 0*b**4 + 3*b**4 + 3*b**3 - b**h + 2*b**2 = 0. What is b?
-1, 0
Let l(q) be the first derivative of -4/15*q**3 + 1/2*q**2 - 1 - 1/5*q. Let l(k) = 0. What is k?
1/4, 1
Let j be (1/(-2))/((-1)/12). Let m(t) = -4*t**2 - 21*t - 17. Let x(p) = -2*p**2 - 10*p - 8. Let q(w) = j*m(w) - 13*x(w). Factor q(h).
2*(h + 1)**2
Let n be 12/(-10)*15/(-6) - -1. Find b, given that 1/4*b**n - 1/4*b**2 + 0*b + 1/4*b**3 - 1/4*b**5 + 0 = 0.
-1, 0, 1
Let p = -4 - -10. Suppose -4*u + u = -p. Determine w so that 0 - 1/4*w**u + 0*w = 0.
0
Let t(b) be the second derivative of -b**6/150 - 3*b**5/100 - b**4/30 + b. Find v such that t(v) = 0.
-2, -1, 0
Let u(d) be the third derivative of -3*d**6/40 + d**5/4 + d**4/2 - 2*d**3 - 25*d**2. Factor u(h).
-3*(h - 2)*(h + 1)*(3*h - 2)
Let w = 1099/6 + -183. Let k(z) be the second derivative of -1/6*z**6 + 23/20*z**5 - 4*z - w*z**7 - 2*z**2 + 29/12*z**4 + 2/3*z**3 + 0. Factor k(r).
-(r - 2)*(r + 1)**3*(7*r - 2)
Let j(o) be the third derivative of 7*o**7/10 + 77*o**6/40 + 8*o**5/5 + o**4/2 + 9*o**2. What is m in j(m) = 0?
-1, -2/7, 0
Let l(b) be the third derivative of b**5/12 - 5*b**4/2 + 30*b**3 + 40*b**2. Suppose l(u) = 0. Calculate u.
6
Let d(l) be the third derivative of l**6/420 - l**4/84 + 29*l**2. Let d(p) = 0. Calculate p.
-1, 0, 1
Let i(u) be the second derivative of u**7/105 + u**6/30 + u**5/30 + u**2 + u. Let t(j) be the first derivative of i(j). Factor t(f).
2*f**2*(f + 1)**2
Let x(m) be the second derivative of -m**7/147 - m**6/105 + m**5/14 + m**4/42 - 8*m**3/21 + 4*m**2/7 + 3*m. Factor x(k).
-2*(k - 1)**3*(k + 2)**2/7
Determine v so that -5*v + 23*v - 2*v**2 - 4 - 12*v = 0.
1, 2
Let k = 72 + -72. Let g(y) be the third derivative of -1/175*y**7 + 0 + 3*y**2 + 0*y**5 - 1/200*y**6 + k*y**4 + 0*y**3 - 1/560*y**8 + 0*y. Solve g(v) = 0.
-1, 0
Let t(m) be the third derivative of -m**6/120 - m**5/60 + 12*m**2. Factor t(n).
-n**2*(n + 1)
Let w(c) = -c**5 + c**4 + c**3 - c**2. Let v(k) = -2*k**5 + k**4 + 2*k**3 - k**2. Let g(d) = -2*v(d) + 3*w(d). Suppose g(s) = 0. What is s?
-1, 0, 1
Let w(n) = -4*n**4 - 4*n**3 - 8*n**2 + 2*n + 7. Let r(v) = -v**4 - v**3 - 3*v**2 + v + 2. Let a(i) = -7*r(i) + 2*w(i). Solve a(c) = 0 for c.
-3, 0, 1
Suppose 0 = -5*l + 3*l. Let a be -1 - 0 - (l - 10). Let -3*f - a + 9 - 3*f**2 = 0. What is f?
-1, 0
Suppose -d - 1 = 3*p, -4*d - 16 = -0. Let v be 3/((p - -1) + -1). What is r in 5*r**3 + 4*r**5 - r**5 + v*r**2 - 2*r**2 + 7*r**4 = 0?
-1, -1/3, 0
Suppose z + 7 = o + 2*z, 2*o = -5*z + 29. Factor 0 - 1/5*l**3 - 1/5*l**4 + 1/5*l + 1/5*l**o.
-l*(l - 1)*(l + 1)**2/5
Factor 6*z**2 + 2*z**2 + z**4 + 12*z**3 + 4*z**4 - z**4.
4*z**2*(z + 1)*(z + 2)
Let w(n) be the first derivative of -n + 1/4*n**4 - 3 + 1/3*n**3 - 1/2*n**2. Find r, given that w(r) = 0.
-1, 1
Let b be (-4)/(-3) + 6/9. Let t be b/28 - 3/(-7). Factor -1/2*r**2 - t*r + 1.
-(r - 1)*(r + 2)/2
Let q(f) be the first derivative of f**8/336 + f**7/210 - f**6/120 - f**5/60 + f**2 - 4. Let b(j) be the second derivative of q(j). Factor b(a).
a**2*(a - 1)*(a + 1)**2
Let b = -1/42 + 5/14. Let g(y) be the second derivative of 1/6*y**4 - y - b*y**3 + 0*y**2 + 0. Factor g(n).
2*n*(n - 1)
Let p(y) be the third derivative of -y**8/1008 - y**7/126 - y**6/40 - 7*y**5/180 - y**4/36 + 5*y**2 + 2*y. Solve p(g) = 0 for g.
-2, -1, 0
Let h(x) be the third derivative of x**5/150 - x**4/15 + 4*x**3/15 - 4*x**2. Factor h(k).
2*(k - 2)**2/5
Let x(p) = -p**4 - p**3 - p - 1. Let q(w) = 6*w**4 + 10*w**3 + 9*w**2 + 12*w + 7. Let d(v) = -q(v) - 5*x(v). Find b such that d(b) = 0.
-2, -1
Suppose 2*t - 4*t = -4. Suppose -l + t = -3. Factor -2*f**3 - 2*f**2 - 2*f**3 - 2*f**l - 2*f**3 - 6*f**4.
-2*f**2*(f + 1)**3
Let a(i) be the third derivative of -i**10/100800 - i**9/24192 - i**8/20160 - i**5/20 - 2*i**2. Let l(f) be the third derivative of a(f). Factor l(z).
-z**2*(z + 1)*(3*z + 2)/2
Suppose p + 12 = 5*k, 12 - 2 = -5*p. Suppose 7*j**3 - 3*j**3 + 0*j**4 + 2*j**k + 2*j**4 + 0*j**2 = 0. Calculate j.
-1, 0
Factor 0 - 1/3*i**2 - 1/3*i**4 - 2/3*i**3 + 0*i.
-i**2*(i + 1)**2/3
Suppose 14 = -5*x + 39, -3*x = -5*v. Suppose v = k + 4*r - 3, -4*r + 30 = 5*k. Factor 6*c**2 + 3*c**4 - 2*c + 4*c**4 - 5*c**4 - k*c**3.
2*c*(c - 1)**3
Let z(o) be the third derivative of o**7/280 + o**6/60 + o**5/40 - o**3/6 - 4*o**2. Let r(y) be the first derivative of z(y). Factor r(f).
3*f*(f + 1)**2
Let j(r) be the third derivative of 1/90*r**6 + 0*r - 3*r**2 - 1/504*r**8 - 1/45*r**5 + 1/9*r**3 - 1/36*r**4 + 1/315*r**7 + 0. Find o, given that j(o) = 0.
-1, 1
Suppose -10 = -f + 5*t, 4*f = t - 4 + 6. Let m(s) be the third derivative of 0 + f*s + 1/42*s**4 - 1/210*s**5 - s**2 + 0*s**3. Solve m(w) = 0 for w.
0, 2
Let g(b) = 5*b**2 - 40*b - 6. Let h(l) = 5*l**2 - 40*l - 7. Let i(y) = 7*g(y) - 6*h(y). Suppose i(m) = 0. Calculate m.
0, 8
Let -3/2*z**2 + 1 - 1/2*z**3 + 1/2*z + 1/2*z**4 = 0. What is z?
-1, 1, 2
Let o be (-2)/(-10) + 84/30. Suppose 0 + 12 = o*u. Factor 1/5*r**u + 0*r**3 + 0*r - 2/5*r**2 + 1/5.
(r - 1)**2*(r + 1)**2/5
Suppose r + 2*o + 0*o = 0, 8 = 2*r - 4*o. Let b(f) be the first derivative of -4/15*f**3 - 1/5*f**r - 3 + 0*f - 1/10*f**4. Let b(t) = 0. What is t?
-1, 0
Let a(x) = -x**2 + 6*x**2 + 1 - 7 - 13*x. Let o(y) = -2*y**2 + 4*y + 2. Let u(w) = 2*a(w) + 7*o(w). What is z in u(z) = 0?
-1/2, 1
Suppose -15 = -3*q - 0. Let r be 14/q - 2/(-10). Factor 4/3*l + 2*l**2 + 4/3*l**r + 1/3 + 1/3*l**4.
(l + 1)**4/3
Let p be ((-18)/24)/(49/(-28)). Factor -p*j**2 - 3/7*j + 6/7.
-3*(j - 1)*(j + 2)/7
Let r(k) be the third derivative of -k**8/896 + k**7/560 + k**6/64 - k**5/160 - k**4/8 - k**3/4 + 4*k**2 - 3. Factor r(a).
-3*(a - 2)**2*(a + 1)**3/8
Let o(q) be the first derivative of -q**4/14 - 10*q**3/21 - 3*q**2/7 + 18*q/7 - 17. Factor o(r).
-2*(r - 1)*(r + 3)**2/7
Let y be (-3)/((-60)/4) + 28/60. Let -2/3*z - y*z**2 + 4/3 = 0. Calculate z.
-2, 1
Let d(f) be the third derivative of 0*f**4 - 2/35*f**7 + 1/84*f**8 + 0*f**3 + 0*f - 1/15*f**5 + 1/10*f**6 - 5*f**2 + 0. Factor d(j).
4*j**2*(j - 1)**3
Let b(p) be the first derivative of -p**5/40 + p**4/8 - 5*p**3/24 + p**2/8 + 3. Let b(d) = 0. What is d?
0, 1, 2
Let m(c) be the second derivative of 2*c**7/21 + 14*c**6/15 + 19*c**5/5 + 25*c**4/