 + 18*n**2. Solve o(l) = 0 for l.
-2, -2/7
Suppose 1 = d - 3. Suppose -d*i = -2*i - 4. What is r in r - 2*r + 3*r**2 - r + r**i = 0?
0, 1/2
Suppose 0*j + 3 = 3*j. Let w be j/(-3) - 7/(-3). Factor -1 - f**w - 1 - 2*f + 1.
-(f + 1)**2
Find k, given that -67*k**3 + 16*k + 0*k**2 - 2*k**5 - 47*k**5 + 4 - 23*k**2 + 119*k**4 = 0.
-2/7, 1
Let z(f) be the third derivative of f**6/120 - f**5/30 + f**4/12 - f**3/6 - 3*f**2. Let c be z(1). Factor -3 + 2*d + 4 + c*d**2 + d**2 + 0*d**2.
(d + 1)**2
Let l(m) = 5*m**2 - m. Suppose 2*h - 8 = -0*h. Let z(g) = -14*g**2 + 3*g. Let a(t) = h*z(t) + 11*l(t). What is i in a(i) = 0?
0, 1
Let s(i) = -84*i**4 - 280*i**3 - 380*i**2 - 104*i + 56. Let d(o) = 17*o**4 + 56*o**3 + 76*o**2 + 21*o - 11. Let l(x) = -24*d(x) - 5*s(x). Factor l(b).
4*(b + 1)*(b + 2)**2*(3*b - 1)
Let h = 40 + -22. Factor 6*g**3 + h*g - 4*g**2 + 4 - 9*g**3 - 15*g**3.
-2*(g - 1)*(g + 1)*(9*g + 2)
Let m(g) be the third derivative of 3*g**8/448 - g**7/140 - g**6/160 - 2*g**2. Find y, given that m(y) = 0.
-1/3, 0, 1
Let f be 48/315 + 4/30. Factor -f*q**5 + 0*q - 4/7*q**4 - 2/7*q**3 + 0*q**2 + 0.
-2*q**3*(q + 1)**2/7
Let z(m) = -m**2 - 6*m - 3. Let b be z(-5). Let q(t) be the first derivative of -1/8*t**4 + 1/6*t**3 + 0*t**b - 1 + 0*t. Factor q(a).
-a**2*(a - 1)/2
Let a be 0 - (-4)/56*4. Suppose -6/7*r**2 + 0 + 6/7*r**3 - a*r**4 + 2/7*r = 0. Calculate r.
0, 1
Let t be (6/9)/((-1)/(-3)). Suppose 2*z**t + z - 2*z - 2*z**4 - 8*z**5 + 9*z**5 = 0. What is z?
-1, 0, 1
Let g(o) be the first derivative of -3*o**5/25 + 53*o**4/20 - 102*o**3/5 + 54*o**2 + 216*o/5 - 30. Factor g(c).
-(c - 6)**3*(3*c + 1)/5
Let x(j) = j**2 + 3*j - 4. Let p be x(-5). Let w(o) = -o**2 + 6*o. Let u be w(p). Find i such that 0*i**2 + i**2 + u*i**2 = 0.
0
What is m in -3/5*m + 1/5*m**3 + 0*m**2 + 2/5 = 0?
-2, 1
Let o be 3/(-9)*(-24)/4. Let l(w) be the first derivative of 0*w - 1 + 1/2*w**o - w**3 + 1/2*w**4. Factor l(u).
u*(u - 1)*(2*u - 1)
Let q(l) = 8*l + 32. Let x be q(-4). Factor 0*o - 2/3*o**2 + x.
-2*o**2/3
Let x(s) be the third derivative of -s**6/40 + s**5/30 + 7*s**4/24 + s**3/3 + 8*s**2. Factor x(t).
-(t - 2)*(t + 1)*(3*t + 1)
Let l(u) be the first derivative of 2*u**5/5 + u**4/2 - 38*u**3/27 - u**2/9 + 4*u/9 - 3. Determine n so that l(n) = 0.
-2, -1/3, 1/3, 1
Suppose -85*q + 22 = -74*q. Factor -3/5*f**4 - 36/5*f - 27/5 + 12/5*f**3 + 6/5*f**q.
-3*(f - 3)**2*(f + 1)**2/5
Suppose 12 + 6 = 6*c. Determine f, given that c*f - 3/2 - 3/2*f**2 = 0.
1
Let z be 2 - (-4 + 3 + 1). Let k be -2*1*z/(-2). Factor -k*j**2 - 2*j - 1/2.
-(2*j + 1)**2/2
Factor 2 - 1 + 2*j**2 + 2*j - 13.
2*(j - 2)*(j + 3)
Let p(i) be the third derivative of -2*i**2 + 0*i**3 + 1/420*i**7 + 0 + 0*i + 1/448*i**8 - 1/160*i**6 + 0*i**4 - 1/120*i**5. Let p(w) = 0. Calculate w.
-1, -2/3, 0, 1
Let k(y) be the second derivative of 2*y + 0*y**3 + 0 + 0*y**2 + 1/36*y**4. Factor k(m).
m**2/3
Let r(d) be the second derivative of -d**6/200 + d**5/100 + d**2/2 + 4*d. Let p(t) be the first derivative of r(t). Factor p(a).
-3*a**2*(a - 1)/5
Suppose 4*t - j + 0 - 5 = 0, 3*t + 3*j - 15 = 0. Factor 17*p**4 - 4*p**3 - 14*p**4 + 3*p**t - 2*p**3.
3*p**2*(p - 1)**2
Factor -4*z**3 + 5*z**4 - 57*z + 60*z - 3*z**2 + z**3 - 2*z**4.
3*z*(z - 1)**2*(z + 1)
Let m(p) = p**3 - 2*p**2 + p + 1. Let h be m(2). Factor 2*t**3 + 5*t**2 - 4*t**h - t**2.
-2*t**2*(t - 2)
Let l = -2 + 5/3. Let x = 1/6 - l. Suppose -1/2*h**5 + x + h**2 - h**3 + 3/2*h - 3/2*h**4 = 0. What is h?
-1, 1
Let k(c) be the third derivative of -c**5/30 - c**4/4 - 23*c**2 - 1. Solve k(v) = 0 for v.
-3, 0
Suppose -3 = -8*s + 7*s. Factor -16*x**s + 4*x**4 + 52*x**2 - 3*x**3 + 38*x**2 - 54*x - 15*x**3 - 54.
2*(x - 3)**3*(2*x + 1)
Let g(u) be the first derivative of -4*u**3/9 - 14*u**2/3 - 8*u + 28. What is o in g(o) = 0?
-6, -1
Let o = -85 + 88. Solve -2/3*u**o + 2/3*u - 2/3 + 2/3*u**2 = 0.
-1, 1
Suppose -14*x**2 - 15*x**3 - 2*x**5 - 3*x**3 - 10*x**4 - 3*x + 0*x**4 - x = 0. Calculate x.
-2, -1, 0
Let n(k) be the third derivative of -k**7/1365 - k**6/390 - k**5/390 + 8*k**2. Determine a, given that n(a) = 0.
-1, 0
Factor 8/13*s**3 + 8/13*s + 2/13*s**4 + 2/13 + 12/13*s**2.
2*(s + 1)**4/13
Let o(j) be the first derivative of -j**5/24 - 7*j**4/72 + 2*j**3/9 + j**2/3 - 2*j - 6. Let q(w) be the first derivative of o(w). Factor q(z).
-(z - 1)*(z + 2)*(5*z + 2)/6
Suppose 13*x - 64 = 5*x. Suppose 34*q = 30*q + x. What is f in 0 + f + 5/2*f**2 + 1/2*f**4 + q*f**3 = 0?
-2, -1, 0
Let m be -1 + -1*14/(-10). Let l be 7/(315/(-6))*4*-3. Factor l*y + m*y**2 + 8/5.
2*(y + 2)**2/5
Let x be (-1 + 3)*(-6 + 6 - -1). Factor 1/4*f**x - f + 3/4.
(f - 3)*(f - 1)/4
Let f = -143/2 - -73. Determine d, given that -1/2*d**5 - 1/2*d**3 - 3/2*d**2 + 0 + d + f*d**4 = 0.
-1, 0, 1, 2
Let i(c) = 8*c**4 + 10*c**3 + 3*c**2 - 6*c - 7. Let k(q) = q**4 + q**3 - q - 1. Let m(r) = 3*i(r) - 21*k(r). Solve m(y) = 0 for y.
-1, 0
Let l = -33413/5 - -6709. Find h such that l*h**4 + 0 - 18/5*h**3 - 24*h**5 - 21/5*h**2 + 6/5*h = 0.
-2/5, 0, 1/2
Let n(p) be the third derivative of 1/60*p**4 - 5*p**2 + 1/840*p**8 + 0*p**3 + 0*p + 0*p**5 - 1/150*p**6 + 0*p**7 + 0. Suppose n(q) = 0. Calculate q.
-1, 0, 1
Suppose 12*k - 12 = 8*k. Let u(s) be the third derivative of 0*s + 0*s**7 - 2*s**2 + 0*s**4 + 0*s**5 + 0*s**6 + 1/1008*s**8 + 0 + 0*s**k. Solve u(h) = 0.
0
Let a(s) be the second derivative of s**7/14 - s**6/5 - 3*s**5/20 + s**4/2 + 10*s. Let a(i) = 0. Calculate i.
-1, 0, 1, 2
Find a such that 16/11*a**2 + 32/11*a**4 + 0 + 40/11*a**3 + 2/11*a = 0.
-1/2, -1/4, 0
Let t(q) = -2*q**4 + 7*q**3 + 8*q**2 + 5*q + 3. Let w(b) = 3*b**4 - 13*b**3 - 15*b**2 - 9*b - 5. Let y(s) = -10*t(s) - 6*w(s). Find j, given that y(j) = 0.
-2, -1, 0
Let x(w) = w**5 - w**4 + 5*w**3 - 15*w**2 + 2*w. Let d(m) = -m**5 + m**4 + m**3 + m. Let g(j) = 4*d(j) + x(j). Factor g(l).
-3*l*(l - 1)**3*(l + 2)
Let t(c) be the first derivative of -2*c**3/9 - c**2/2 - c/3 - 20. Find l such that t(l) = 0.
-1, -1/2
Let c(i) = i**3 + 7*i**2 - 2*i - 8. Let g be c(-7). Factor d**2 + 0 + g*d - 4*d**2 - 3.
-3*(d - 1)**2
Factor -8/3*o**2 + 0 + 2/3*o**3 + 2*o.
2*o*(o - 3)*(o - 1)/3
Let s(b) be the first derivative of b**2 + 14/3*b**3 + 49/8*b**4 + 1 + 0*b. Factor s(p).
p*(7*p + 2)**2/2
Suppose -w + 69 = 2*w - 3*z, 5*w - 3*z - 105 = 0. Let w - 18 + 9*r**2 - 3*r**3 - 6*r = 0. Calculate r.
0, 1, 2
Solve 288*a**3 + 768*a**5 + 29*a - 26*a + 34*a**2 + 768*a**4 + 14*a**2 = 0 for a.
-1/4, 0
Determine k, given that -2/7 - 2/7*k + 2/7*k**2 + 2/7*k**3 = 0.
-1, 1
Suppose d = 5*d - 28. Let p(v) be the third derivative of -1/60*v**6 + 0 + 2*v**2 + 0*v**3 + 0*v + 1/105*v**d - 1/30*v**5 + 1/12*v**4. Let p(r) = 0. What is r?
-1, 0, 1
Determine k so that 2/15*k**5 + 0*k + 2/15*k**3 + 0*k**2 + 4/15*k**4 + 0 = 0.
-1, 0
Let f(q) = 0*q**3 + 0*q**3 - 3 - 4*q**2 - 1 + q + q**3. Let o be f(4). Factor 0*t + 16/3*t**4 + 2/3*t**2 - 11/3*t**3 + o - 7/3*t**5.
-t**2*(t - 1)**2*(7*t - 2)/3
Solve -14*z + 25*z**2 - 27*z**4 + 20*z + 7*z**3 - 21*z**5 + 2*z**2 + 8*z**3 = 0 for z.
-1, -2/7, 0, 1
Let m(b) = b - 7. Let c be m(3). Let g be c/(-7)*(-14)/(-12). What is x in 4/3 - g*x**2 - 2/3*x = 0?
-2, 1
Suppose p - 15 = -3. Let a be 2/(-6)*p/(-16). Factor 1/2*v**2 + a*v + 1/4*v**3 + 0.
v*(v + 1)**2/4
Let c(j) be the third derivative of 0*j**5 + 1/4*j**3 + 0 - 1/40*j**6 - 3*j**2 - 1/140*j**7 + 1/8*j**4 + 0*j. Determine p so that c(p) = 0.
-1, 1
Let r be (6*(-1)/10)/(-3). Let c(m) be the first derivative of -r*m + 1 - 1/5*m**2 - 1/15*m**3. Determine u, given that c(u) = 0.
-1
Let m(v) be the third derivative of 1/735*v**7 + 9/35*v**5 + 27/7*v**3 - 2*v**2 + 0*v + 0 - 1/35*v**6 - 9/7*v**4. Find h, given that m(h) = 0.
3
Let s(l) be the first derivative of -1/4*l**4 - 2/3*l**3 + 0*l - 1/2*l**2 + 4. Factor s(t).
-t*(t + 1)**2
Factor 12/7*t**3 - 8/7 - 12/7*t + 8/7*t**2.
4*(t - 1)*(t + 1)*(3*t + 2)/7
Let v(t) be the third derivative of t**6/540 - t**5/270 - t**4/54 - 8*t**2. Solve v(k) = 0 for k.
-1, 0, 2
Let m(a) be the first derivative of -2*a + 1/2*a**2 - 4 + 1/3*a**3. Determine l, given that m(l) = 0.
-2, 1
Let j(a) = -a**3 + 10*a**2 - 11*a - 11. Let w be j(9). Let d = w - -34. Find m, given that 1/3 - 1/3*m**d - 1/3*m - 2/3*m**2 + 2/3*m**3 + 1/3*m**4 = 0.
-1, 1
Let c(v) be the second derivative of v + 0 + 0*v**3 - 1/21*v**7 + 1/15