z**3 - 10. Let k(c) = 0. What is c?
0, 2
Let j(k) = k**2 - 16*k. Let l be j(16). Factor -4/5*s**4 + 2/5*s**3 + 2/5*s**5 + l*s**2 + 0 + 0*s.
2*s**3*(s - 1)**2/5
Let q(p) = -5*p**4 - 3*p**3 + 18*p**2 + 22*p - 2. Let r(i) = -10*i**4 - 5*i**3 + 35*i**2 + 45*i - 5. Let m(x) = -5*q(x) + 2*r(x). Suppose m(d) = 0. Calculate d.
-2, -1, 0, 2
Let p(l) be the second derivative of -l**8/840 - l**7/210 + l**6/60 + l**5/15 - l**4/3 + l**3/2 + l. Let j(f) be the second derivative of p(f). Factor j(n).
-2*(n - 1)**2*(n + 2)**2
Let l(r) be the first derivative of 0*r - 7/16*r**4 - 2 - 1/6*r**3 + 1/8*r**2 - 1/5*r**5. Let l(u) = 0. What is u?
-1, 0, 1/4
Suppose -5*k + 3 + 12 = 0. Find g, given that 4*g - 181*g**3 - 637*g**4 - 92*g**2 - 12*g - 258*g**3 - 343*g**5 + 61*g**k = 0.
-1, -2/7, 0
Suppose -n + d + 0 = -2, 0 = 3*d. Let c(k) be the third derivative of -2*k**n + 0 - 1/27*k**3 + 1/54*k**4 + 0*k - 1/270*k**5. Factor c(y).
-2*(y - 1)**2/9
Suppose z + 3*z = 4. Suppose 6*l - 2 - 22 = 0. Factor z + 1/2*k + 5/2*k**3 - l*k**2.
(k - 1)**2*(5*k + 2)/2
Let u = -3/31 - -37/62. Factor u*g - 2*g**3 + 0 - 3/2*g**2.
-g*(g + 1)*(4*g - 1)/2
Let k(x) = -3*x**3 + x**2 + x. Let z be k(-1). Let w(u) be the first derivative of -1/12*u**z + 1 - 1/4*u - 1/4*u**2. Factor w(n).
-(n + 1)**2/4
Factor 18 - 12*l + 3*l - 2*l - l + 2*l**2.
2*(l - 3)**2
Let w = -998 + 7004/7. Factor 12/7*u - 2/7*u**2 - w.
-2*(u - 3)**2/7
Let q(x) be the third derivative of -x**8/336 + x**7/105 + x**6/120 - x**5/30 - 19*x**2. Factor q(o).
-o**2*(o - 2)*(o - 1)*(o + 1)
Factor 11/7*s + 16/7*s**2 + s**3 + 2/7.
(s + 1)**2*(7*s + 2)/7
Let g(y) = -y + 0*y**2 + y**2 - 7 + 3*y + 7*y. Let b be g(-10). Factor -3*n**3 + 3*n**b + 5*n**2 - 8*n**2 - 3*n**3.
-3*n**2*(n + 1)
Let t = -77/3 + 26. Suppose -5*b = 5*k - 20, 3*b + 6 - 18 = 2*k. Factor -1/3*q**3 + k + 0*q + t*q**2.
-q**2*(q - 1)/3
Let a(r) be the first derivative of 1/2*r - 1/10*r**5 + 0*r**3 - 1/2*r**2 + 1/4*r**4 + 5. Factor a(k).
-(k - 1)**3*(k + 1)/2
Let a(t) = 3*t**2 + 6 - 5*t**2 - 4*t + 3*t**2 + 0*t**2. Let g(s) = 3*s**2 - 11*s + 17. Let y(n) = 17*a(n) - 6*g(n). Factor y(x).
-x*(x + 2)
Factor 1/6*f**2 - 1/6 + 0*f.
(f - 1)*(f + 1)/6
Let y = 281 + -29504/105. Let m(d) be the third derivative of -1/60*d**6 + 0*d**5 + 0*d**3 + 0*d**4 - y*d**7 + 0 + 0*d - 2*d**2. Factor m(b).
-2*b**3*(b + 1)
Let b be 1*(-1 - 0) + 3. Suppose -3*i + 14 = 5*g, 5*g - 10 = -i - b. Determine p, given that 1/2*p + 0*p**2 - 3/2*p**i + p**4 + 0 = 0.
-1/2, 0, 1
Let o(k) be the third derivative of 0*k + 0 + 1/70*k**7 + 1/8*k**4 - 1/20*k**5 - 5*k**2 + 0*k**3 - 1/40*k**6. Suppose o(n) = 0. Calculate n.
-1, 0, 1
Let p(t) be the second derivative of t**4/48 + t**3/24 - 2*t. Factor p(z).
z*(z + 1)/4
Let h be 60/(-8)*6/(-5). Let c = -6 + h. Factor -9/2*m + 9/2*m**2 + 3/2 - 3/2*m**c.
-3*(m - 1)**3/2
Let i(h) = -2*h**3 - 3*h**2 + 2*h. Let b(g) = -2*g**3 - 2*g**2 + 2*g. Let w(a) = -3*b(a) + 2*i(a). Factor w(s).
2*s*(s - 1)*(s + 1)
Factor -10 - 3*w - 5*w + w**2 - w**2 + 2*w**2.
2*(w - 5)*(w + 1)
Let f be (-80)/192*4 - (-122)/30. Factor 2/5*k + 18/5*k**3 - f*k**2 + 0.
2*k*(3*k - 1)**2/5
Factor 2*l - 15 + 5*l**2 - 12*l + 0*l.
5*(l - 3)*(l + 1)
Let v = 39 - 193/5. Suppose 2/5*g**3 - 2/5*g**4 + v*g**2 + 0 - 2/5*g = 0. Calculate g.
-1, 0, 1
Let q(h) be the third derivative of -h**7/525 + h**6/300 - h**5/600 + h**3/2 + 4*h**2. Let z(c) be the first derivative of q(c). Solve z(k) = 0.
0, 1/4, 1/2
Suppose -14*s + 112 = -18*s. Let d be ((-2)/s)/((-1)/(-4)). Factor d*c**2 + 18/7 - 12/7*c.
2*(c - 3)**2/7
Let t(x) = x**3 - 9*x**2 - x + 13. Let c be t(9). Let 4*q**2 - 7*q**2 + c*q**2 = 0. What is q?
0
Let d(b) = 9*b - 2*b**2 - 3 + 0*b**2 - 4. Let f(h) = -6*h**2 + 26*h - 20. Let o(s) = 14*d(s) - 5*f(s). Let o(w) = 0. What is w?
1
Let g(m) = m**3 + 4*m**2 - 5*m + 6. Let w be g(-5). Let 2*x**2 - 2*x**2 + 3*x**3 - 3*x**2 - w*x = 0. What is x?
-1, 0, 2
Let w(r) be the third derivative of -19*r**7/350 + r**6/24 - r**5/150 + 4*r**2. Factor w(k).
-k**2*(3*k - 1)*(19*k - 2)/5
Let c be (1 + 64/(-60))/(-2). Let m(n) be the second derivative of 0*n**4 - n - c*n**5 + 1/90*n**6 + 1/9*n**3 - 1/6*n**2 + 0. Factor m(t).
(t - 1)**3*(t + 1)/3
Let n = -107/2 - -54. Let h(k) be the first derivative of 1/3*k**3 - 1/5*k**5 + 3 + n*k**6 + k**2 - 5/4*k**4 + 0*k. Factor h(m).
m*(m - 1)**2*(m + 1)*(3*m + 2)
Let r(w) be the first derivative of w**3/6 - w**2 + 2*w + 4. Factor r(l).
(l - 2)**2/2
Let m(r) be the first derivative of -2/5*r**2 - 2/5*r**3 + 10 + 0*r - 1/10*r**4. Factor m(v).
-2*v*(v + 1)*(v + 2)/5
Let n(f) be the first derivative of 2*f**5/45 + f**4/9 - 2*f**3/27 - 2*f**2/9 + 2. Determine w so that n(w) = 0.
-2, -1, 0, 1
Solve -58/7*z - 8/7*z**3 - 2 - 64/7*z**2 = 0.
-7, -1/2
Solve -3/7 - 9/7*b**2 - 3/7*b**3 - 9/7*b = 0.
-1
Let c(f) be the first derivative of -2*f**3/3 + 3*f**2 + 8*f - 14. Factor c(g).
-2*(g - 4)*(g + 1)
Let j(s) be the first derivative of s**6/1980 + s**5/660 + 4*s**3/3 + 1. Let p(g) be the third derivative of j(g). Suppose p(k) = 0. What is k?
-1, 0
Let x(v) be the third derivative of -v**7/350 + 3*v**6/200 - v**5/50 - v**2. Find m, given that x(m) = 0.
0, 1, 2
Let v = 111/7 + -15. What is o in -8/7*o**2 - 12/7*o**3 + v*o**5 + 4/7*o**4 + 6/7*o + 4/7 = 0?
-1, -2/3, 1
Let 4/3*g**2 + 5/3*g**3 - 1/3*g + 0 = 0. What is g?
-1, 0, 1/5
Let n(z) be the first derivative of 1/20*z**5 - 1/4*z - 1/8*z**4 + 1/4*z**2 + 3 + 0*z**3. Factor n(c).
(c - 1)**3*(c + 1)/4
Factor 9/5*x**3 - 9/5*x + 0 - 3/5*x**2 + 3/5*x**4.
3*x*(x - 1)*(x + 1)*(x + 3)/5
Let f(q) be the second derivative of -q**4/6 - q**3 - 2*q**2 - 7*q. Find m such that f(m) = 0.
-2, -1
Factor -3*m**3 - m + 12*m - 8*m.
-3*m*(m - 1)*(m + 1)
Let o = 0 + 6. Let g(u) be the third derivative of 0*u**3 - u**2 - 1/30*u**5 + 1/24*u**4 + 0 + 1/120*u**o + 0*u. Find w, given that g(w) = 0.
0, 1
Let i(j) be the second derivative of j**6/30 - 23*j**5/140 + 5*j**4/21 - 2*j**3/21 - 2*j. Factor i(g).
g*(g - 2)*(g - 1)*(7*g - 2)/7
Let a(u) be the second derivative of -u**7/420 + u**6/240 + 11*u**2/2 + 8*u. Let t(g) be the first derivative of a(g). Solve t(l) = 0.
0, 1
Let q(j) be the first derivative of 486/5*j**5 + 96*j - 144*j**3 + 81/2*j**6 - 54*j**4 + 24*j**2 - 1. Find v such that q(v) = 0.
-2, -2/3, 2/3
Let j(z) be the second derivative of -5*z + 7/24*z**4 + z**3 - z**2 + 0. Factor j(f).
(f + 2)*(7*f - 2)/2
Let q = -73 + 73. Factor q*l + 2/5*l**3 - 1/5*l**4 + 0 - 1/5*l**2.
-l**2*(l - 1)**2/5
Let y(i) be the third derivative of i**5/60 - i**4/8 + i**3/3 - 7*i**2. Determine s, given that y(s) = 0.
1, 2
Let i(q) = 2*q**2 - 13*q + 9. Let b be i(6). Determine j, given that -1/2*j - 1/2*j**b - j**2 + 0 = 0.
-1, 0
Let 0*d + 1/2*d**2 - 1/2 = 0. What is d?
-1, 1
Let u(j) be the third derivative of j**5/30 + j**4/12 + j**2. Solve u(r) = 0 for r.
-1, 0
Determine c so that -3*c**5 - c**3 + 2*c + 2*c**3 + 5*c**2 + 14*c**4 - 19*c**4 = 0.
-1, -2/3, 0, 1
Let m(i) = -3*i**3 + 32*i**2 - 3*i + 1. Let t(n) = 0*n - 7*n**3 + 8*n**2 - n + 6*n**3. Let c(k) = 4*m(k) - 18*t(k). Factor c(h).
2*(h - 2)*(h - 1)*(3*h + 1)
Suppose 3 = -6*u + 3. Factor -2/9*s + u - 2/9*s**2.
-2*s*(s + 1)/9
Factor -2/3*s + 2/3*s**3 - 2/3*s**4 + 2/3*s**2 + 0.
-2*s*(s - 1)**2*(s + 1)/3
Let y(i) be the third derivative of -i**5/20 + i**3/2 - 7*i**2. Factor y(m).
-3*(m - 1)*(m + 1)
Let x be (-4)/14 - (-60)/14. Factor 3*a**2 - 5 + 6 - x*a**2.
-(a - 1)*(a + 1)
Let l(g) be the second derivative of g**4/3 + 2*g**3/3 - 4*g**2 - 8*g. Determine b so that l(b) = 0.
-2, 1
Let t(u) = u**2 + 10*u + 1. Let l(p) = 5 - 4 - 3*p**2 + 19*p + 0*p**2 + 4*p**2. Let q(h) = -4*l(h) + 7*t(h). Let q(b) = 0. Calculate b.
1
Let m(l) be the third derivative of -8*l**7/105 - 3*l**6/10 - 2*l**5/5 - l**4/6 + 7*l**2. Factor m(c).
-4*c*(c + 1)**2*(4*c + 1)
Factor 40/7*p + 200/7 + 2/7*p**2.
2*(p + 10)**2/7
Let o(t) be the second derivative of -t**7/294 + 2*t**6/105 - t**5/35 - t**4/42 + 5*t**3/42 - t**2/7 + 20*t. Factor o(n).
-(n - 2)*(n - 1)**3*(n + 1)/7
Let m(b) = -15*b - 86. Let i be m(-6). Let s(j) be the third derivative of 0*j - 1/96*j**i + 0*j**3 - 1/240*j**5 + 2*j**2 + 0. Factor s(g).
-g*(g + 1)/4
Let g(o) = 12*o**2 + 12*o + 6. Let d(w) = 13*w**2 + 11*w + 6. Let c(n) = 3*d(n) - 4*g(n). Factor c(k).
-3*(k + 1)*(3*k + 2)
Let 16/3*q + 16 - 4/3*q**2 = 0. What 