0 - z**3/2 + 9*z**2/10 - 3*z. Factor c(g).
-(g - 3)**2*(g - 1)/5
Let t(g) = 5*g**2 - 2*g + 1. Let k be t(1). Suppose 0 = 3*v - v - k. Factor -s**3 - 3*s + 6*s - v*s.
-s*(s - 1)*(s + 1)
Let x(f) = f**3 + 9*f**2 + 8*f + 5. Let d be x(-8). Let k = 8 - d. Let k*j - 4*j - 3*j**2 + 4*j**2 = 0. What is j?
0, 1
Let f(o) = -o**2 + 2*o + 1. Let g(d) = -5*d**2 + 9*d + 5. Let w(m) = -9*f(m) + 2*g(m). Find z, given that w(z) = 0.
-1, 1
Let v = -3 + 3. Suppose 4*h + 3*o - 15 = -3, v = -4*h - 2*o + 8. Factor h*z**4 + 0*z**4 + z**4 - z**5.
-z**4*(z - 1)
Let k(p) be the first derivative of -p**5/10 + p**3/6 - 6. Suppose k(c) = 0. Calculate c.
-1, 0, 1
Let i(f) be the first derivative of -f**6/45 + f**5/15 + f**4/18 - 2*f**3/9 + 4*f + 5. Let u(w) be the first derivative of i(w). Factor u(m).
-2*m*(m - 2)*(m - 1)*(m + 1)/3
Let k(q) be the second derivative of -q**4/8 - q**3/2 - 3*q**2/4 - 14*q. Let k(f) = 0. Calculate f.
-1
Let t(n) = -4*n**4 - n**3 - 3*n**2. Let o(z) = 20 - 5*z**2 - 20 - 2*z**3 - 7*z**4. Let i(a) = -3*o(a) + 5*t(a). What is j in i(j) = 0?
-1, 0
Let i(l) be the second derivative of -l**6/120 + l**5/24 + l**4/12 + l**3 - 8*l. Let s(h) be the second derivative of i(h). Factor s(t).
-(t - 2)*(3*t + 1)
Let y(b) be the second derivative of 3*b**6/20 - 3*b**5/20 - 23*b**4/24 + 2*b**3/3 + 4*b**2 - 11*b. Suppose y(h) = 0. What is h?
-1, 4/3
Let j(x) = -26*x - 178. Let c be j(-7). Determine o so that 2/7*o**3 - 2/7*o + 0 + 2/7*o**c - 2/7*o**2 = 0.
-1, 0, 1
Suppose 0 = 3*w - 3*a - 12, 8 = -4*a - 0*a. Suppose 5 = u - 0. Let 1/4*i**u + 7*i - 19/2*i**2 - 2 - w*i**4 + 25/4*i**3 = 0. Calculate i.
1, 2
Let x(n) = -15*n**2 + 5*n. Let r(a) = -a**4 - a**2 + a - 1. Let w(g) = 5*r(g) - x(g). Solve w(i) = 0 for i.
-1, 1
Let q(s) = -s**3 - s**2 - 1. Let o(t) = -7*t**3 + 32*t**2 - 144*t + 188. Let h(v) = -o(v) + 4*q(v). Factor h(i).
3*(i - 4)**3
Let o(y) = -y**2 + 10*y - 4. Let r be o(4). Let b be 5/r - (-30)/8. Factor 2*c**2 + 0 + 2*c**3 + 2/3*c**b + 2/3*c.
2*c*(c + 1)**3/3
Suppose -3 = -4*o + 5. Let p be (o + -2)/(-2 - 0). What is n in p*n**4 + 0 + 0*n**2 + 0*n + 2/5*n**3 - 2/5*n**5 = 0?
-1, 0, 1
Suppose 2*l + 2*l - 22*l = 0. Let z(b) be the third derivative of -1/40*b**6 + 0*b + 2*b**2 + 0*b**5 + 1/8*b**4 + l*b**3 + 0. Factor z(q).
-3*q*(q - 1)*(q + 1)
Let f(o) be the first derivative of 3*o**3 - 3*o**2 + 20. Factor f(m).
3*m*(3*m - 2)
Suppose -3*y + 37 = 5*f - 0, -3*y + 2*f + 2 = 0. Factor -1/2*b**5 - 1/2*b**2 + 0*b - 3/2*b**3 - 3/2*b**y + 0.
-b**2*(b + 1)**3/2
Factor 2/9*c + 2/9*c**4 + 0 - 2/9*c**3 - 2/9*c**2.
2*c*(c - 1)**2*(c + 1)/9
Let i be (-159)/(-54) - ((-3)/2)/(-3). Let 4/9*q**2 + 0*q + 4*q**4 + i*q**3 + 2*q**5 + 0 = 0. Calculate q.
-1, -2/3, -1/3, 0
Let d(t) be the third derivative of -5*t**2 - t**3 + 0*t + 0 - 1/30*t**5 + 1/3*t**4. Suppose d(n) = 0. What is n?
1, 3
Factor 1/5*v**2 + 36/5*v + 324/5.
(v + 18)**2/5
Let l(z) be the second derivative of -z**4/54 + 2*z**3/27 - z**2/9 + 7*z. Factor l(n).
-2*(n - 1)**2/9
Suppose 3*p - 2*p - 415 = 0. Let 690*i + 1168*i**3 - 64 - 210*i - p*i**5 + 60*i**4 - 35*i**5 - 1248*i**2 = 0. What is i?
-2, 2/5, 2/3
Factor 1 - 5/2*l - 1/2*l**4 + 3/2*l**2 + 1/2*l**3.
-(l - 1)**3*(l + 2)/2
Factor 48/11*b**2 - 2/11*b**5 - 4*b**3 + 16/11*b**4 + 0 - 18/11*b.
-2*b*(b - 3)**2*(b - 1)**2/11
Suppose 13*d = 13 + 52. Factor -1/4*a**d - 11/4*a**3 + 2 - 1/2*a**2 - 3/2*a**4 + 3*a.
-(a - 1)*(a + 1)*(a + 2)**3/4
Let z(s) be the first derivative of 0*s**2 + 2*s**3 + 3/4*s**4 + 6 + 0*s. Determine v so that z(v) = 0.
-2, 0
Let l = -1/12 - -1/3. Let j be (-3)/(1/((-1)/4)). Solve -3/4*b**2 - 1/4*b**3 - j*b - l = 0.
-1
Let o(i) be the third derivative of -2*i**7/105 - 2*i**6/15 - 2*i**5/5 - 2*i**4/3 - 2*i**3/3 + 3*i**2. Find g, given that o(g) = 0.
-1
Let w be (13/(-26))/((-25)/8 + 3). Let -2/3*x**w - 2/3*x**3 + 2/3*x**2 + 0 + 0*x + 2/3*x**5 = 0. What is x?
-1, 0, 1
Let v = 47/102 + 2/51. Factor v - 3*b + 9/2*b**2.
(3*b - 1)**2/2
Let j(f) be the third derivative of f**8/1512 + f**7/945 - f**6/540 - f**5/270 + 15*f**2. Suppose j(i) = 0. What is i?
-1, 0, 1
Let 8/5*d - 8/5 - 2/5*d**2 = 0. What is d?
2
Let n(b) = -b**5 - b**4 - b**3 - b**2 - b + 1. Let g(a) = -7*a**5 + 3*a**4 - 2*a**3 - 2*a**2 - 2*a + 2. Let t(u) = -g(u) + 2*n(u). Factor t(q).
5*q**4*(q - 1)
Let o = 555 - 2759/5. Let 8/5*j - 1/5*j**2 - o = 0. What is j?
4
Let q(p) be the first derivative of -2/27*p**3 - 1/36*p**4 - 1 + 0*p - 1/18*p**2. Let q(d) = 0. Calculate d.
-1, 0
What is f in -14/9*f**3 + 26/9*f**2 - 2/9 - 10/9*f = 0?
-1/7, 1
Let f(n) be the first derivative of -n**6/80 + n**5/40 - n**4/48 + 4*n**3/3 + 3. Let p(k) be the third derivative of f(k). Solve p(w) = 0 for w.
1/3
Let p(g) = 2*g + 1. Let j be p(1). Factor -3*o**2 - 3*o**j + o**3 + 0*o**2 - o**3.
-3*o**2*(o + 1)
Let n(l) be the first derivative of 0*l + 6*l**2 - 2 - 57/4*l**4 + 21/5*l**5 + 8*l**3. Factor n(b).
3*b*(b - 2)*(b - 1)*(7*b + 2)
Let v(p) be the second derivative of -p**5/14 + p**4/6 - 2*p**3/21 - 8*p. Determine k so that v(k) = 0.
0, 2/5, 1
Suppose -4*a - g - 5 = -2*g, 0 = -4*a + 3*g - 15. Let i(z) be the third derivative of a*z**3 + 3*z**2 + 0 - 1/90*z**5 + 1/18*z**4 + 0*z. Solve i(l) = 0.
0, 2
Suppose -57*p + 22 = 5*d - 55*p, 8 = d + 4*p. Suppose -15/7*f**3 - 3*f + 27/7*f**2 + 3/7*f**d + 6/7 = 0. Calculate f.
1, 2
Let g(z) = -4*z**2 + 22*z + 14. Let f be g(6). Factor 4/3*t**f + 4/3*t**3 - 4/3 - 4/3*t.
4*(t - 1)*(t + 1)**2/3
Factor -7/3*f**2 + 0 + 2/3*f**3 + 4/3*f + 1/3*f**4.
f*(f - 1)**2*(f + 4)/3
Let b = 309/20 + -61/4. Find k, given that 36/5*k**2 + b*k - 2/5 = 0.
-1/4, 2/9
Factor -4*o - 432*o**5 + 0*o**3 + 4*o**4 + 4*o**3 + 433*o**5 - 4*o**2 - o**3.
o*(o - 1)*(o + 1)*(o + 2)**2
Let d(u) be the third derivative of 0 + 6*u**2 + 0*u - 1/100*u**5 + 1/200*u**6 + 0*u**3 + 0*u**4. Factor d(y).
3*y**2*(y - 1)/5
Suppose -5*o = -3*c - 2 + 4, 2*o + 16 = 5*c. Let n(b) be the first derivative of 0*b + 1/10*b**5 + 1/16*b**4 + 0*b**3 + 1 + 0*b**o + 1/24*b**6. Factor n(d).
d**3*(d + 1)**2/4
Factor 17*y**5 + 4*y**4 + 4*y**3 - 12*y**5 - 12*y**4 - y**5.
4*y**3*(y - 1)**2
Let g(l) be the first derivative of -l**3/12 + 7*l**2/2 - 49*l - 60. Factor g(t).
-(t - 14)**2/4
Let w(h) be the third derivative of h**6/210 + 2*h**5/35 - 8*h**4/21 - 61*h**2. Suppose w(r) = 0. Calculate r.
-8, 0, 2
Let z(x) = -70*x**2 - 295*x - 335. Let s(k) = -5*k**2 - 21*k - 24. Let i(c) = -55*s(c) + 4*z(c). Let i(n) = 0. What is n?
-4, -1
Let k(w) = 4*w - 5*w + 4*w - 2. Let y be k(2). What is b in 5*b + 2*b**2 + 2*b**2 - y*b = 0?
-1/4, 0
Factor 3*x**3 - 2 - x**3 - 8*x - x**2 + 3*x**2 + 6*x.
2*(x - 1)*(x + 1)**2
Let k = 1 - 0. Let s be (k + 0)/(-5)*-2. Factor 6/5*n**3 + 2/5*n**2 + 0*n + 0 + 6/5*n**4 + s*n**5.
2*n**2*(n + 1)**3/5
Let t(n) = -15*n**2 - 97*n + 68. Let v(g) = 15*g**2 + 98*g - 67. Let p(m) = -3*t(m) - 2*v(m). What is w in p(w) = 0?
-7, 2/3
Let o(u) be the first derivative of -u**7/175 + u**6/60 - u**5/150 - u**4/60 - u**2/2 + 2. Let q(s) be the second derivative of o(s). Find w such that q(w) = 0.
-1/3, 0, 1
Factor -11*p**3 + 61*p**3 - 25 - 7 + 10*p**4 + 32*p + 96*p**2 + 6*p**3.
2*(p + 2)**3*(5*p - 2)
Let d(t) be the third derivative of -t**7/840 + t**6/160 - t**5/80 + t**4/96 + 2*t**2. Find z such that d(z) = 0.
0, 1
Let k(g) be the third derivative of -1/480*g**6 - 1/80*g**5 + 0*g + 0*g**3 + 5*g**2 + 0 - 1/48*g**4. Determine l, given that k(l) = 0.
-2, -1, 0
Let m(i) be the third derivative of -i**7/1008 + i**6/480 + i**5/120 + i**4/8 + 4*i**2. Let k(c) be the second derivative of m(c). Solve k(z) = 0 for z.
-2/5, 1
Let z(w) = -w**3 - w**2 + w - 1. Let b be z(-2). Factor -3*y**3 + y**2 + b - 3*y**2 + 3*y + y**2.
-(y - 1)*(y + 1)*(3*y + 1)
Let k be 2/10 - 18/15. Let f = 5 - k. Factor 24*h + h**5 - 63*h**3 + f*h**3 + 165*h**4 - 76*h**5 + 12 - 69*h**2.
-3*(h - 1)**3*(5*h + 2)**2
Let o(b) be the third derivative of b**8/7560 - b**7/3780 - 5*b**3/6 + 4*b**2. Let k(q) be the first derivative of o(q). Factor k(r).
2*r**3*(r - 1)/9
Suppose 2*g - 3*a + 27 = 5*g, -5*g - 5 = -5*a. Let s = -9 + 13. Factor -3*q**g + q**s + 0*q**4.
-2*q**4
Let l = 73 - 298. Let p be 4/18 - 490/l. Suppose 8/5*w + 8/5*w**3 - 2/5*w**4 - 2/5 - p*w**2 = 0. What is w?
1
Let c be 4/3 - 10/9. Let a(w) be the second derivative of w - c*w**2 + 0 + 5/27*w**3 + 2/27*w**4 - 1/30*