+ 0*p + 0 - 1/20*p**6. Solve c(z) = 0.
-1, 1/2
Let z(t) = -t**2 + t + 4. Let a(x) = -x**2 + 451*x - 906. Let v(y) = a(y) + 4*z(y). Factor v(l).
-5*(l - 89)*(l - 2)
Let n be 2/8 + 7/4. Suppose 1 = -a + 2*h + 14, 5*a - n*h = 33. Factor -10*y**2 + y**2 - 11*y + a*y.
-3*y*(3*y + 2)
Let u(k) = k**2 + 21*k + 98. Let t be u(-14). Determine z so that -4/7*z**4 - 2/7*z + t*z**3 + 0 + 2/7*z**5 + 4/7*z**2 = 0.
-1, 0, 1
Factor 16/13*p**2 + 0 + 8/13*p + 2/13*p**4 + 10/13*p**3.
2*p*(p + 1)*(p + 2)**2/13
Suppose -47 + 187 = -5*k. Let c be (-2)/3 - k/42. Solve 0*w**2 + c*w + 0 - 1/3*w**3 = 0 for w.
0
Let y be 6 + 2 - 390/65. Let v(g) be the first derivative of 7 + 0*g**y + 0*g + 0*g**3 - g**4 - 2/5*g**5 + 1/3*g**6. Find z, given that v(z) = 0.
-1, 0, 2
Let m(p) be the first derivative of -2*p**5/35 - 2*p**4/7 - 2*p**3/7 - 130. Factor m(b).
-2*b**2*(b + 1)*(b + 3)/7
Let k be 2/(-8)*(3 + (-14 - -11)). Let y be 4/(-22) - 111/(-66). Solve k*d + 3/2*d**3 + y*d**2 + 0 = 0.
-1, 0
Let c(g) be the second derivative of -g**7/21 + 4*g**6/45 + 19*g**5/30 - 4*g**4/9 - 4*g**3/3 + g + 43. Let c(q) = 0. What is q?
-2, -2/3, 0, 1, 3
Let y(j) be the third derivative of -23*j**7/420 + j**6/240 + 23*j**5/120 - j**4/48 + 397*j**2. Solve y(g) = 0 for g.
-1, 0, 1/23, 1
Find c, given that 10 - 6*c - 58*c**2 + 33*c**2 + c + 5*c**3 + 15*c**4 = 0.
-1, 2/3, 1
Let m(k) = k**3 - 13*k**2 - 16*k + 12. Let w be m(12). Let p = w + 1628/5. Factor p - 8/5*v + 2/5*v**2.
2*(v - 2)**2/5
Let x = -11225 + 11227. Factor 0 + 48/5*i**3 + 4*i**4 + 36/5*i**x + 8/5*i.
4*i*(i + 1)**2*(5*i + 2)/5
Let o = 23 - 20. What is f in 7*f**4 - 9*f**4 + 2 + 4*f**o - 3*f - f + 0 = 0?
-1, 1
Let n = -379/11 - -2285/66. Factor -1/6 + 1/6*p**3 + 1/6*p**2 - n*p.
(p - 1)*(p + 1)**2/6
Suppose 47*q + 71 = 70*q - 389. Let -q*b**2 - 8/5 - 108/5*b = 0. Calculate b.
-1, -2/25
Let a(n) be the third derivative of -n**5/30 - 25*n**4/12 + 31*n**2. Factor a(t).
-2*t*(t + 25)
Let k(a) be the first derivative of -7*a**6/9 - 88*a**5/15 - 25*a**4/2 + 20*a**3/9 + 92*a**2/3 + 16*a + 17. Determine b, given that k(b) = 0.
-3, -2, -2/7, 1
Let p be (2/5)/(-10 - 1232/(-120)). Let n(d) be the first derivative of -3/4*d**4 - 2*d**3 + p*d**2 - 5 + 6/5*d**5 + 0*d. Factor n(y).
3*y*(y - 1)*(y + 1)*(2*y - 1)
Suppose -40*h + 115 = -17*h. Factor 0*t - 1/2*t**3 - 1/2*t**h + 0 + 0*t**2 + t**4.
-t**3*(t - 1)**2/2
Let v(z) = 13*z**4 - 7*z**3 + 2*z**2 + 7*z - 5. Let k(t) = -8*t**4 + 4*t**3 - t**2 - 4*t + 3. Let o(m) = -5*k(m) - 3*v(m). Let o(n) = 0. Calculate n.
-1, 0, 1
Suppose -4*g - g**3 - 6 - 2*g**3 + 8*g**4 - 10*g**4 + 7*g**3 + 8*g**2 = 0. What is g?
-1, 1, 3
Suppose b + 0*a + 2*a - 7 = 0, -b + 5*a = 28. Let c be (-5)/(3/(b + 0)). Factor -c - 2 + 1 + 3*r**2 - 3*r.
3*(r - 2)*(r + 1)
Let t(i) = -4 + i - 13 - 4*i + 2. Let a be t(-6). Determine m so that 3/2*m**a + 0 - m**2 + 0*m = 0.
0, 2/3
Factor 1/4*w**5 + 1/2*w**4 + 0 - 3*w - 7/4*w**3 - 5*w**2.
w*(w - 3)*(w + 1)*(w + 2)**2/4
Let o(s) = 285*s**2 - 279*s - 570. Let x(z) = z**3 - 285*z**2 + 278*z + 568. Let i(c) = 2*o(c) + 3*x(c). Find f, given that i(f) = 0.
-1, 2, 94
Suppose 0 = -4*n + 6 + 18. Let y be n/(-21) + 16/7. Solve 6*d + 2 - 2 - y - 2*d**2 - 2*d**2 = 0 for d.
1/2, 1
Factor -13/2*s**3 + 0*s - 3*s**2 + 0 + 5/2*s**4.
s**2*(s - 3)*(5*s + 2)/2
Let a = 413 + -2477/6. Let v(x) be the third derivative of 0*x**3 + a*x**4 - x**2 + 0 + 0*x - 2/105*x**7 - 1/30*x**6 + 1/15*x**5. Solve v(m) = 0.
-1, 0, 1
Let p(b) be the third derivative of 3*b**2 - 1/4*b**4 - 1/6*b**3 + 0 - 1/12*b**5 + 0*b. Factor p(a).
-(a + 1)*(5*a + 1)
Let h(a) = 3 - 1 + 6 + 5*a**4 + 56*a**2 + 39*a**3 + 33*a. Let z(g) = g**4 - g**3 + g. Let b(c) = h(c) + 3*z(c). Factor b(j).
4*(j + 1)**2*(j + 2)*(2*j + 1)
Let v(c) = c**2 - c + 1. Let u(q) = 4*q**2 + 10*q - 9. Let h(l) = -u(l) + 5*v(l). Factor h(b).
(b - 14)*(b - 1)
Let u be -1 + -1 - (737/(-44) + 8). What is c in 0 - 3/2*c + u*c**2 = 0?
0, 2/9
Let w(y) = -y**3 + y + 1. Let h(f) = -3*f**3 + 52*f**2 - 193*f + 143. Let t(a) = -h(a) - w(a). Solve t(s) = 0 for s.
1, 6
Determine o, given that 0 + 23/2*o**2 - 1/2*o**3 + 0*o = 0.
0, 23
Let l(q) be the third derivative of -q**5/90 + 5*q**4/9 - 100*q**3/9 + q**2 - 4. Find h such that l(h) = 0.
10
Let s = -2587/5 - -523. Factor -s*q - q**3 - 8/5 - 22/5*q**2.
-(q + 2)**2*(5*q + 2)/5
Let g(x) be the third derivative of -x**7/14 + 5*x**6/12 - x**5 + 5*x**4/4 - 5*x**3/6 + x**2 + 27. Determine y, given that g(y) = 0.
1/3, 1
Let y(z) be the third derivative of z**7/21420 + z**6/6120 - z**4/2 + 9*z**2. Let b(x) be the second derivative of y(x). What is j in b(j) = 0?
-1, 0
Let f = -148 + 743/5. Let s be (-99)/(-231)*(-14)/(-10). What is h in -f*h**2 + 6/5 - s*h = 0?
-2, 1
Let r(l) be the third derivative of l**5/90 - 38*l**4/63 - 44*l**3/63 + l**2 + 41*l. Factor r(i).
2*(i - 22)*(7*i + 2)/21
Let g be 2/(468/(-201)) + (-4)/(-6). Let f = 11/78 - g. Let -1/2*t**2 + f + 1/6*t = 0. What is t?
-2/3, 1
What is w in -w**2 - 6/5*w + 0 - 1/5*w**3 = 0?
-3, -2, 0
Let k = 10 + -8. Let -20*n**4 + 1 - k*n**3 - 1 + 7*n**3 = 0. What is n?
0, 1/4
Suppose -w - 5 = -r, 4*r + r = 4*w + 25. Let d(x) be the first derivative of w*x - 4/15*x**3 + 8/25*x**5 + 0*x**2 - 5 - 1/5*x**6 + 1/10*x**4. Factor d(q).
-2*q**2*(q - 1)**2*(3*q + 2)/5
Let i(f) = -5*f**3 + 12*f**2 - 13*f + 6. Let w(b) = -9*b**3 + 23*b**2 - 27*b + 13. Let l(v) = -7*i(v) + 4*w(v). Factor l(m).
-(m - 5)*(m - 2)*(m - 1)
Suppose 26 + 118 = 6*n. Find u, given that 17*u**3 - 36*u + 7*u**3 + n - 3*u**3 - 3*u**5 - 6*u**2 = 0.
-2, 1, 2
Factor 13/2*o**3 + 2*o**2 + 5/2*o**4 - 2*o + 0.
o*(o + 1)*(o + 2)*(5*o - 2)/2
Suppose -x - 2*h + 10 = 0, 183*x - 188*x + 6 = -h. Determine v, given that -8/3 - 16/3*v - 2*v**x = 0.
-2, -2/3
Let f = -28938 + 28941. Find j, given that -6*j**4 - 15/8*j**f - 27/8*j**5 + 3/4*j**2 + 0*j + 0 = 0.
-1, 0, 2/9
Factor 4*a**3 - 6*a**3 - 69*a**2 - 7*a**3 + 5*a**3 - 5*a**3 + 30*a + 48.
-3*(a - 1)*(a + 8)*(3*a + 2)
Let s(u) be the third derivative of 0*u**3 + 0*u - 1/180*u**5 + 0 - 1/360*u**6 + 1/36*u**4 + 18*u**2. Factor s(b).
-b*(b - 1)*(b + 2)/3
Let d(r) = 8*r + 4. Let b be d(2). Let z be ((-10)/4)/((-25)/b). Find w, given that -w**z - 30*w - 3 + 26*w - 1 = 0.
-2
Let y = -29/180 - -41/45. Factor -3/4*d - y*d**2 + 0.
-3*d*(d + 1)/4
Determine s so that -7*s**2 - 67/3*s**3 + 17/3 + 67/3*s + 4/3*s**4 = 0.
-1, -1/4, 1, 17
Suppose -4*o + 0*o = -5*z - 8, 4 = 2*o + 3*z. Find n, given that -2*n**o + 12*n + 65 - 101 + n**2 = 0.
6
Suppose 24 = 4*n + 16, 2*o + 3*n = 12. Let f(i) be the second derivative of -1/3*i**o + 10*i + 0*i**2 + 1/2*i**4 + 0 + 1/15*i**6 - 3/10*i**5. Factor f(w).
2*w*(w - 1)**3
Let z(j) = 4*j**2 + 3*j. Let r be (6/18)/(3/18). Let x(h) = h**3 - h**2 - h. Let k(t) = r*z(t) + 2*x(t). Determine w so that k(w) = 0.
-2, -1, 0
Suppose 6*b = 10*b - 4. Let r be (-3 + (14 - -3))*b/3. Determine k so that -4/3*k + r*k**2 + 2*k**4 + 0 - 16/3*k**3 = 0.
0, 2/3, 1
Let f(s) be the first derivative of -s**6/6 + 3*s**4 - 16*s**3/3 - 529. Factor f(h).
-h**2*(h - 2)**2*(h + 4)
Let c = -392 - -399. Let r(f) be the third derivative of 0*f**5 + 0*f - 1/350*f**c + 0*f**6 + 1/560*f**8 - 5*f**2 + 0*f**4 + 0*f**3 + 0. Solve r(n) = 0 for n.
0, 1
Let j be 3/4*(3 + (-5 - -6)). Factor 21/5*t**2 + 9*t + 3/5*t**j + 27/5.
3*(t + 1)*(t + 3)**2/5
What is p in 144/11*p - 2/11*p**2 - 2592/11 = 0?
36
Let p be (-374)/33*6/(-4). Let j be 2*4/(-8)*-2. Factor -3*z**5 - p*z**3 - 9*z**4 + 0*z**j + 0*z**2 + 11*z**3.
-3*z**3*(z + 1)*(z + 2)
Let a(s) be the second derivative of -s**5/4 - 5*s**4/6 - 5*s**3/6 - 160*s. Determine h so that a(h) = 0.
-1, 0
Let g be (-618)/155 + 2*2. Let f = g - -149/465. Factor -t**2 - f*t**4 + 0 + t**3 + 1/3*t.
-t*(t - 1)**3/3
Let w(o) be the first derivative of 2*o**5/15 + 2*o**4/3 + 10*o**3/9 + 2*o**2/3 - 140. Factor w(f).
2*f*(f + 1)**2*(f + 2)/3
Let k(f) be the first derivative of f**8/9240 + f**7/2310 - f**5/330 - f**4/132 - 11*f**3/3 + 10. Let i(c) be the third derivative of k(c). Factor i(h).
2*(h - 1)*(h + 1)**3/11
Let z(d) = -d**2 + 5*d + 69. Let b be z(-6). Let i(y) be the third derivative of -b*y**2 + 0*y + 0*y**4 + 1/90*y**5 + 0 - 1/9*y**3. Factor i(g).
2*(g - 1)*(g + 1)/3
Let o(l) = 165*l + 828. Let y be o(-5). Factor -4/19*s**2 + 0*s - 2/19*s**y + 0.
-2*s**2*(s + 2)/19
Let w(p) be the third deriv