 - 21*j**2. Solve a(p) = 0 for p.
-1, 0, 2
Let l = 55 + -49. Let l*x**2 - 39*x + 3*x + 2*x**3 + 8*x**3 - 27 + 2*x**3 - 3*x**4 = 0. Calculate x.
-1, 3
Let i be 1/7 - (10 - (-1095)/(-105)). Suppose 2*a**2 + 0 - 2*a**4 - 10/7*a**5 + i*a + 6/7*a**3 = 0. Calculate a.
-1, -2/5, 0, 1
Let f(h) be the third derivative of -h**7/350 + 19*h**6/200 + 22*h**5/25 + 23*h**4/10 + 3*h**2 + 13. Let f(t) = 0. What is t?
-2, 0, 23
Let w be -2*1/(3 + -4). Factor 2*o**5 - w*o - 2*o**3 - o**5 + 3*o.
o*(o - 1)**2*(o + 1)**2
Suppose 49*w = 42*w + 168. Factor -462*p**4 - 12*p - w*p**3 + 462*p**4 + 4*p**5 - 32*p**2.
4*p*(p - 3)*(p + 1)**3
Suppose 2*j = -6, 5*j - 40 + 43 = -3*m. Let y be (0 - (-6)/(-4))*-3. What is x in 0*x - 21/2*x**m - 2*x**2 + 8*x**3 + y*x**5 + 0 = 0?
0, 2/3, 1
Let i be 2*(-6 - -8)*3/96. Factor i*j**2 - 1/4 + 1/8*j.
(j - 1)*(j + 2)/8
Factor -24/7*i + 48/7 + 3/7*i**2.
3*(i - 4)**2/7
Let x = -804 - -822. Suppose 2*f + 42 = 3*v - f, 2*v - 3*f - 25 = 0. Factor 11 + 12*i + x*i + 5*i**2 + 17 + v.
5*(i + 3)**2
Let n(w) = -2*w**3 + w**2 + w. Let v(x) = -20*x**3 + 48*x**2 + 108*x + 64. Let j(u) = 12*n(u) - v(u). Factor j(o).
-4*(o + 1)*(o + 4)**2
Let l be 148/(-52) + 3 + 784/312. Solve l*j - 2/3*j**2 - 2 = 0 for j.
1, 3
Let z(o) be the second derivative of o**6/450 - o**4/30 - 3*o**3/2 - 2*o. Let s(k) be the second derivative of z(k). Determine v so that s(v) = 0.
-1, 1
Let s(c) be the third derivative of c**6/180 + 7*c**5/90 + 7*c**4/18 + 8*c**3/9 + 87*c**2. Determine y so that s(y) = 0.
-4, -2, -1
Let w(p) = 7*p + 104. Let y be w(-19). Let k = -83/3 - y. Factor -k - 4/3*b - 1/3*b**2.
-(b + 2)**2/3
Factor 0*k**4 + 0*k + 0 - 4/5*k**2 + 6/5*k**3 - 2/5*k**5.
-2*k**2*(k - 1)**2*(k + 2)/5
Let j be (-35)/3 + 3/(-9). Let k(x) = -x**2 - 11*x + 15. Let s be k(j). Solve 0*a - 36*a**s + a**2 + 3*a + 2*a**2 = 0 for a.
-1/4, 0, 1/3
Let o(p) be the first derivative of -p**4/4 - p**3 + 2*p**2 + 6*p - 52. Let k = -4 - -3. Let c(w) = w**2 - w - 1. Let m(a) = k*o(a) - 6*c(a). Factor m(b).
b*(b - 2)*(b - 1)
Find r such that 4*r**3 + 2/3 - 20/3*r**2 - 3*r = 0.
-1/2, 1/6, 2
Let g(d) = -d**2 - 12*d + 3. Let u be g(-12). Solve 15*n**4 + 0*n**2 + 12*n**2 + 15*n + 41*n**u + 2 + 27*n**2 = 0 for n.
-1, -2/5, -1/3
Let l(n) be the first derivative of -72/13*n + 60/13*n**2 - 2/65*n**5 - 5/13*n**4 - 26 - 2/3*n**3. Factor l(x).
-2*(x - 1)**2*(x + 6)**2/13
Suppose -2*c + 3*p + 90 = 7, 2*c - 2*p = 82. Suppose -4 + m**5 + 11*m - c*m**2 + 40*m**3 + 3*m**5 - 20*m**4 + 0*m + 9*m = 0. Calculate m.
1
Let h = -17/4 + 23/4. Let y(g) be the first derivative of 5 - 3/4*g**4 + g**3 + h*g**2 - 3/5*g**5 + 0*g. Factor y(c).
-3*c*(c - 1)*(c + 1)**2
Let v(i) be the second derivative of -i**7/231 - 2*i**6/165 + 2*i**5/55 + i**4/33 - i**3/11 - 8*i - 6. Let v(x) = 0. Calculate x.
-3, -1, 0, 1
Let y(i) = -7*i - 9. Let g be y(-7). Let z be ((-36)/(-20))/(6/g). Factor -8*f**3 + 3*f**4 - 8*f**2 + 7*f**4 + 2*f**4 + z*f - 4*f**5 - 4.
-4*(f - 1)**4*(f + 1)
Solve 40*o**2 - 23 + 9*o**3 - 7*o**3 + 23 = 0 for o.
-20, 0
Let g be 4 + ((-1 + 1)/(-5))/2. Let x(u) be the second derivative of -1/11*u**3 + 0 + 1/11*u**2 - 1/110*u**5 + 1/22*u**g - 3*u. Factor x(b).
-2*(b - 1)**3/11
Let g(n) be the first derivative of -13 - 1/6*n**4 + 1/9*n**2 + 0*n - 4/27*n**3. Solve g(j) = 0.
-1, 0, 1/3
Let v(y) be the second derivative of y**4/138 - 28*y**3/69 - 250*y. Let v(x) = 0. What is x?
0, 28
Let y(v) be the third derivative of -v**7/168 + v**6/32 - v**5/48 - 5*v**4/32 + 5*v**3/12 + 10*v**2 + 17*v. Suppose y(k) = 0. What is k?
-1, 1, 2
Solve -11/5*k + 2/5 + 13/5*k**2 - 4/5*k**3 = 0 for k.
1/4, 1, 2
Factor -10/7*l**2 - 2 + 2/7*l**3 - 26/7*l.
2*(l - 7)*(l + 1)**2/7
Let y(d) be the second derivative of 45*d**7/2 - 55*d**6/2 - 7*d**5 + 5*d**4/3 + 321*d. Determine p, given that y(p) = 0.
-2/9, 0, 2/21, 1
Let c be (12/50)/(33/55 - (-2 + 2)). Let o = 247/315 - -1/63. Suppose 2/5*b - 4/5*b**4 + 0 + 0*b**3 + o*b**2 - c*b**5 = 0. What is b?
-1, 0, 1
Let b(k) = 3. Let g(x) = -x**3 + x + 4. Let n(l) = 4*b(l) - 3*g(l). Suppose n(q) = 0. Calculate q.
-1, 0, 1
Let o = 120/13 + -25187/2730. Let g(y) be the second derivative of 0*y**2 + 0 + 1/140*y**5 + o*y**6 + 3*y + 0*y**3 - 1/42*y**4. Factor g(b).
b**2*(b - 1)*(b + 2)/7
Let j(q) be the second derivative of -2/5*q**5 + 2/15*q**6 + 0 + 19*q + 0*q**3 + 0*q**2 + 0*q**4. Factor j(z).
4*z**3*(z - 2)
Let x = 21996 + -21994. Determine p so that 7/3*p + 4/3*p**x - 2/3 = 0.
-2, 1/4
Let o = 35/6 - 233/42. Let m be (-3)/(-3)*(1 - -1). Factor 2/7*q**3 - o*q**5 + 0*q - 2/7*q**4 + 0 + 2/7*q**m.
-2*q**2*(q - 1)*(q + 1)**2/7
Let j = -1766 - -7101/4. Let n = j - 181/20. Factor -1/5*k**2 + 2/5 + 3/5*k**3 - 3/5*k - n*k**4.
-(k - 2)*(k - 1)**2*(k + 1)/5
Suppose 6*q - 4 - 14 = 0. Suppose -4*n - 4*b = -7*b - 25, 0 = 5*n + q*b - 11. Let 32/3 + 112/3*f**2 + 6*f**n - 2/3*f**5 - 32*f - 64/3*f**3 = 0. What is f?
1, 2
Suppose 29*u = 26*u + 9. Factor -2*h**3 + 6*h**3 - 8*h**u.
-4*h**3
Let t(n) = -n**3 + 1. Let p(d) = -8*d**3 - 10*d**2 - 32*d - 25. Let b(l) = 3*p(l) - 21*t(l). Factor b(z).
-3*(z + 2)*(z + 4)**2
Let v = 139 - 141. Let y be (-1 + v - -2)*-5. Find n such that 2/9*n**3 + 2/9*n**y + 0 - 2/3*n**2 + 2/3*n**4 - 4/9*n = 0.
-2, -1, 0, 1
Let y(q) be the third derivative of -5*q**2 + 7/330*q**5 + 8/33*q**3 + 0 - 5/22*q**4 + 0*q. Factor y(i).
2*(i - 4)*(7*i - 2)/11
Find q such that -2/7*q**2 - 68/7*q - 578/7 = 0.
-17
Let h(m) be the third derivative of 5*m**8/336 + 2*m**7/21 - m**6/2 + m**5/6 + 55*m**4/24 - 5*m**3 - 88*m**2. Let h(s) = 0. Calculate s.
-6, -1, 1
Let o(d) be the third derivative of -2*d**5/105 + 53*d**4/84 - 13*d**3/21 - 63*d**2. Factor o(b).
-2*(b - 13)*(4*b - 1)/7
Let t be (-6)/4*(-44)/6. Factor t*n - 5*n**2 + 11*n + 9*n - 11*n.
-5*n*(n - 4)
Let m(d) be the first derivative of d**3 - d**2/2 - 9. Let b(u) = -4*u**2 + u. Let l(s) = -5*b(s) - 7*m(s). Find x, given that l(x) = 0.
0, 2
Let t = 221 - 217. Let y(u) be the third derivative of -1/80*u**5 + 0 + 1/8*u**3 + 0*u**4 + t*u**2 + 0*u. Factor y(w).
-3*(w - 1)*(w + 1)/4
Let y be (-333)/(-24) + (-9)/(-72). Suppose 4*i - y = -10. What is a in -i - 1/2*a**2 + 3/2*a = 0?
1, 2
Let s(i) be the second derivative of -i**6/24 - 5*i**5/12 - 5*i**4/3 - 10*i**3/3 - 13*i**2 + 25*i. Let x(h) be the first derivative of s(h). Factor x(t).
-5*(t + 1)*(t + 2)**2
Let y(m) be the second derivative of -6/7*m**2 + 12/7*m**3 + 0 + 3/14*m**6 - 7*m + 3/35*m**5 - 39/28*m**4. What is n in y(n) = 0?
-2, 1/3, 2/5, 1
Let y(i) = -5*i**2 + 59*i + 6. Let c(u) = -16*u**2 + 178*u + 20. Let v(s) = 3*c(s) - 10*y(s). Solve v(h) = 0.
0, 28
Factor 1815/4 - 935/4*h - 5/4*h**3 + 125/4*h**2.
-5*(h - 11)**2*(h - 3)/4
Let p(h) be the first derivative of 4*h**3/15 + 216*h**2/5 - 176*h + 409. Factor p(b).
4*(b - 2)*(b + 110)/5
Let h(c) be the first derivative of 2*c**5/15 + 11*c**4/6 + 74*c**3/9 + 15*c**2 + 12*c + 13. Solve h(b) = 0.
-6, -3, -1
Let o(i) be the second derivative of 0*i**2 - 1/210*i**6 - 3/140*i**5 + 0*i**3 + 12*i - 1/42*i**4 + 0. What is y in o(y) = 0?
-2, -1, 0
Factor 2*w**3 + w**3 + 46 - 4*w**3 - 23*w + 4 - 31*w**2 + 5*w**2.
-(w - 1)*(w + 2)*(w + 25)
Let c(f) be the first derivative of 3*f**4/4 + 8*f**3 - 57*f**2/2 + 30*f + 11. Find o, given that c(o) = 0.
-10, 1
Let t be (2 + 11/(-4))*-16. Let a = t + -9. Determine r, given that -2*r**5 + 4*r**4 + 4*r**a - 24*r**2 + 2*r**3 + 16*r**2 - 8*r = 0.
-1, 0, 2
Let v(i) = 7*i**3 + 146*i**2 + 988*i - 4335. Let k(w) = -w**3 - 2*w**2 + 1. Let f(g) = -3*k(g) - v(g). What is r in f(r) = 0?
-19, 3
Let h be ((-637)/65 - -10)*0. Let -6/7*t**2 + 2/7*t**4 - 4/7*t + h + 0*t**3 = 0. What is t?
-1, 0, 2
Let y(l) = l + 8. Let g be y(-5). Determine v so that -3*v - 22*v**4 + v**g - v + 4*v**2 + 14*v**4 + 7*v**4 = 0.
-2, 0, 1, 2
Let v(c) = c**4 - 35*c**3 - 394*c**2 - 1900*c - 3000. Let q(t) = -2*t**4 + 36*t**3 + 396*t**2 + 1900*t + 3000. Let i(x) = 2*q(x) + 3*v(x). Factor i(u).
-(u + 3)*(u + 10)**3
Solve -1/6*d**3 + 31/6*d**2 - 112/3*d - 128/3 = 0 for d.
-1, 16
Suppose n**4 - 2*n**4 + 36 - 35*n**2 + 0*n**2 - 75*n**3 + 87*n**3 - 12*n = 0. What is n?
-1, 1, 6
Factor 2929*u + 54*u**4 - 3229*u - 3*u**5 - 540*u**2 + 11*u**3 - 194*u**3.
-3*u*(u - 10)**2*(u + 1)**2
Suppose -2*v + 139 = 137. Let c be v/(16/92) + -5. Suppose -3/4*a - 3/2 + 3/2*a**2 + c*a**3 = 0. Calcula