*x**3 + 267/5*x**2 - 54*x = 0. Calculate x.
-90, 0, 1
Factor -12*g**2 + 106*g**3 + 118*g - 19*g - 40 + 29 - 151 - 107*g**3.
-(g - 3)**2*(g + 18)
Find h, given that 36/5 - 2/5*h**3 + 14*h + 32/5*h**2 = 0.
-1, 18
Let g(x) be the first derivative of -15*x**4/8 - 21*x**3/2 + 63*x**2/4 + 15*x/2 + 240. Factor g(n).
-3*(n - 1)*(n + 5)*(5*n + 1)/2
Let w(m) = m + 15. Let h be w(-2). Suppose -h*d + 44 = 9*d. Factor 0 + 0*t - 2/3*t**4 - 4/3*t**3 + 0*t**d.
-2*t**3*(t + 2)/3
Let s(v) = -2*v**4 - 54*v**3 + 4*v**2 - 4. Let y(l) = 5*l**4 + 160*l**3 - 11*l**2 + 11. Let i(x) = -11*s(x) - 4*y(x). What is t in i(t) = 0?
0, 23
Let r(o) be the second derivative of o**6/30 + 17*o**5/20 + 5*o**4/2 + 26*o - 1. Solve r(b) = 0 for b.
-15, -2, 0
Let f(p) = 27*p - 124*p**2 - 9*p - 9 + 56*p - 16 + 54*p**3. Let c(b) = 36*b**3 - 83*b**2 + 49*b - 17. Let x(n) = -7*c(n) + 5*f(n). Solve x(y) = 0.
1/2, 2/3, 1
Let d(j) be the third derivative of 5*j**8/336 + j**7/7 + 5*j**6/24 - 2*j**2 - 32*j. Determine h so that d(h) = 0.
-5, -1, 0
Let d(z) = -27*z + 54. Let x be d(2). Solve -12*r**3 + x + 15/4*r**4 + 21/4*r**5 + 0*r + 3*r**2 = 0 for r.
-2, 0, 2/7, 1
Let i(s) be the third derivative of 0*s - 20*s**2 + 0 - 3/40*s**6 - 1/8*s**4 + 0*s**3 + 1/5*s**5. Solve i(y) = 0 for y.
0, 1/3, 1
Let y = -1445 + 1447. Factor 12/7*l + 0 + 0*l**y - 3/7*l**4 - 9/7*l**3.
-3*l*(l - 1)*(l + 2)**2/7
Let a(p) be the first derivative of 0*p**5 - 1/3*p**6 + 0*p**3 + p**4 - p**2 + 0*p - 5. Factor a(x).
-2*x*(x - 1)**2*(x + 1)**2
Suppose -5*q + 266 = -2059. Let w be q/65 + -4 + -3. Factor 0*f + 8/13*f**3 - w*f**4 - 8/13*f**2 + 0.
-2*f**2*(f - 2)**2/13
Let r = -7/148 + 1325/21756. Let v = 15/98 + r. Factor v*c**2 + 1/6*c**3 + 0 - 1/3*c.
c*(c - 1)*(c + 2)/6
Determine s, given that -7*s**3 - 3*s**2 - s**5 + 0*s**5 + 0*s**2 - 10*s**4 + 21*s**2 = 0.
-9, -2, 0, 1
Factor 405 - 70*h**3 + 29*h**2 + 11*h - 269*h**2 - 5*h**4 - 22*h - 79*h.
-5*(h - 1)*(h + 3)**2*(h + 9)
Factor 4/5*d**2 - 16/5*d + 0.
4*d*(d - 4)/5
Let i(b) = 4*b + 42. Let h be i(-9). Determine a, given that h*a**5 - a**4 - 12*a**3 + 13*a**4 + 4*a**2 - 10*a**5 = 0.
0, 1
Let g(z) be the third derivative of z**7/350 + 3*z**6/25 + 6*z**5/5 - 20*z**4 - 600*z**3 + 24*z**2. Factor g(q).
3*(q - 6)*(q + 10)**3/5
Let y(d) be the third derivative of -4*d**7/1155 + 13*d**6/660 - 2*d**5/165 - d**4/11 + 552*d**2. Suppose y(c) = 0. What is c?
-3/4, 0, 2
Let n(i) be the first derivative of 2*i**6/9 + 16*i**5/15 + i**4 - 16*i**3/9 - 8*i**2/3 - 134. Let n(f) = 0. Calculate f.
-2, -1, 0, 1
Suppose 48*r = 46*r + 10. Let q(i) be the third derivative of 1/48*i**4 + 0*i - 1/240*i**6 - 3*i**2 + 0*i**r + 0*i**3 + 0. Solve q(k) = 0 for k.
-1, 0, 1
Let c(l) be the second derivative of l**7/21 + 8*l**6/15 + 11*l**5/5 + 14*l**4/3 + 17*l**3/3 + 4*l**2 - 7*l - 3. Suppose c(t) = 0. Calculate t.
-4, -1
Let w(t) be the third derivative of t**6/2160 - t**4/144 - 7*t**3/2 + 19*t**2. Let g(p) be the first derivative of w(p). Factor g(a).
(a - 1)*(a + 1)/6
Let l(b) be the first derivative of 2*b**3/3 + 14*b**2 - 102*b + 1093. Suppose l(a) = 0. What is a?
-17, 3
Let l(s) be the second derivative of s**5/40 - s**4/3 + 7*s**3/4 - 9*s**2/2 + 148*s. Factor l(d).
(d - 3)**2*(d - 2)/2
Find d, given that 0 - d**3 + 1/3*d**4 + 8/3*d - 2*d**2 = 0.
-2, 0, 1, 4
Let w be ((-8)/27)/((-32)/912). Let d = w - 74/9. Suppose d*c**2 + 4/9*c + 2/9 = 0. What is c?
-1
Let l(n) = -7*n**2 - 284*n - 21904. Let w(p) = -8*p**2 - 282*p - 21904. Let k(b) = 7*l(b) - 6*w(b). Factor k(g).
-(g + 148)**2
Let g(m) be the second derivative of m**6/90 - m**5/15 - 4*m**4/3 - m**3 + 7*m + 2. Let d(h) be the second derivative of g(h). Suppose d(x) = 0. Calculate x.
-2, 4
Let p(q) be the first derivative of -q**9/3024 - q**8/1680 + q**7/840 + q**6/360 + 31*q**3/3 - 57. Let c(j) be the third derivative of p(j). Factor c(z).
-z**2*(z - 1)*(z + 1)**2
Let m = 92 - 274/3. Find z, given that m*z - 2/3 + 10/3*z**2 + 2*z**3 = 0.
-1, 1/3
Solve 636*n**2 + 15*n**3 - 1165 + 1065 - 820*n + 2380*n + 49*n**3 = 0 for n.
-5, 1/16
Let i = -37 - -23. Let m be ((-16)/i)/(13/26). Solve 0 + 24/7*k**2 - 12/7*k**3 - m*k + 2/7*k**4 = 0.
0, 2
Suppose -35/6*c**4 - 46*c**2 - 32/3 - 112/3*c - 74/3*c**3 - 1/2*c**5 = 0. Calculate c.
-4, -2, -1, -2/3
Let b(o) = 5*o**4 + 4*o**3 + o**2 - 10*o - 3. Let i(t) = 4*t**4 + 4*t**3 - 8*t - 2. Let l(j) = 2*b(j) - 3*i(j). Let l(x) = 0. What is x?
-2, -1, 0, 1
Let z be ((-11288)/(-16))/17 - (-6)/(-4). Suppose -4*m = -z + 28. Solve i**2 - 4/3*i - 4/3 + 1/3*i**4 + 4/3*i**m = 0.
-2, -1, 1
Let w = 347 + -345. Let a(i) be the second derivative of 0*i**2 - w*i + 1/12*i**4 + 0 - 1/20*i**5 + 0*i**3. Factor a(r).
-r**2*(r - 1)
Let j(i) be the first derivative of i**4/4 - 28*i**3/3 + 165*i**2/2 + 450*i - 137. Determine f, given that j(f) = 0.
-2, 15
Let i = 4 + -6. Let c be (-13)/(-286)*(-8)/i. Find g, given that 0*g + c*g**2 + 0 = 0.
0
Let v(i) be the third derivative of 8*i**2 + 0 + 0*i**5 + 1/64*i**4 + 0*i - 1/320*i**6 + 0*i**3. Find o, given that v(o) = 0.
-1, 0, 1
Let i(n) be the third derivative of 1/30*n**5 + 0*n**4 + 0 + 2*n + 4*n**2 + 0*n**3. Factor i(z).
2*z**2
Let i = 8067 - 23842/3. Let d = 121 - i. Determine g, given that 2/3*g**5 - 4/3*g**4 + 0 - 2/3*g**3 + 0*g + d*g**2 = 0.
-1, 0, 1, 2
Let 294*q**3 - 18*q + 293*q**3 - 108 + 30*q**2 - 585*q**3 - 2*q**4 = 0. Calculate q.
-3, -2, 3
Let d(x) be the third derivative of -1/300*x**6 + 0*x + 0*x**3 + 0 - 9*x**2 - 1/25*x**5 - 3/20*x**4. Determine p, given that d(p) = 0.
-3, 0
Suppose -4*q = -0*q - 32. Factor 69*g**3 - 3 - 68*g**3 + q - 5*g**2 - g.
(g - 5)*(g - 1)*(g + 1)
Let v = 10776 + -140086/13. Factor -10/13*z**2 - v*z**3 - 16/13*z - 8/13.
-2*(z + 1)*(z + 2)**2/13
Let j(s) = s**3 + 19*s**2 + 86*s - 21. Let y be j(-11). Suppose 6 = 5*v + 4*w, -2*v = -7*v - 5*w + 5. Determine d so that -11/2*d**v - 2*d**3 + y - 5/2*d = 0.
-2, -1, 1/4
Solve 1/5*q**2 + 2880 - 48*q = 0.
120
Let o be (16 - 9) + 1678/(-240). Let i(k) be the second derivative of 0*k**3 + 5*k + o*k**6 - 1/48*k**4 - 1/168*k**7 + 0*k**2 + 1/80*k**5 + 0. Solve i(q) = 0.
-1, 0, 1
Let t(c) = -c**3 + 24*c**2 - 62*c - 21. Let m be t(21). Let o(y) be the second derivative of m*y**4 + 1/12*y**3 + 0*y**2 - 1/40*y**5 + 8*y + 0. Factor o(i).
-i*(i - 1)*(i + 1)/2
Suppose 5 = 3*t - 4. Suppose 0 = 5*u - t*c - 4, -2*c = -2*u - u + 2. Factor 2*h**2 - 4 - h**2 - u*h**2 + 5.
-(h - 1)*(h + 1)
Suppose -183*m - 2 = -185*m - 2*l, -2*m = -5*l - 9. Factor -3 - 1/2*t**3 + 0*t**m + 7/2*t.
-(t - 2)*(t - 1)*(t + 3)/2
Let r = 39 - 37. Factor 207 - 207 + r*w**3 - 2*w**4.
-2*w**3*(w - 1)
Let k = 139 - 79. Suppose 3*r + 2*r - k = 0. Determine z, given that -16*z + 2*z**2 + r*z**3 + 16 + z**2 - 8*z**3 - 7*z**2 = 0.
-2, 1, 2
Suppose 2*q - q = -7. Let m(h) = 2*h**2 - 5*h**2 + 808 - 801 - 11*h. Let w(t) = t**2 + 5*t - 3. Let a(i) = q*w(i) - 3*m(i). What is u in a(u) = 0?
0, 1
Let h be (46/14 - 5) + (-2)/(-1). Let j(m) be the second derivative of h*m**4 + 0*m**2 + 4*m + 0 - 1/21*m**6 + 3/70*m**5 + 4/21*m**3. Let j(g) = 0. Calculate g.
-1, -2/5, 0, 2
Let x be -22*(-20 + (-3706)/(-187)). Solve 3 - 5/2*w - 1/2*w**x + 5/2*w**3 - 5/2*w**2 = 0.
-1, 1, 2, 3
Factor 11104*r**5 - 2*r - 10*r**3 + 60*r**2 + 7*r - 14*r - 15*r**4 - 31*r - 11099*r**5.
5*r*(r - 2)**2*(r - 1)*(r + 2)
Suppose -921 = -39*z - 268*z. Factor -12/5*b**2 + 8/5 - 4/5*b**z + 4/5*b**4 + 4/5*b.
4*(b - 2)*(b - 1)*(b + 1)**2/5
Suppose 5*l - 111 = 89. Let t(z) = -z**2 - 1. Let h(m) = 7*m**2 + 5*m + 4. Let q(x) = l*t(x) + 5*h(x). Solve q(i) = 0.
1, 4
Let i(t) be the second derivative of t**6/10 - 6*t**5/5 + 4*t**4 - 11*t + 9. Suppose i(a) = 0. Calculate a.
0, 4
Let f be ((-9)/5)/((-87)/290). Let x be (0 - -1)*f + -4. Factor 1/3*w**x - 4/3*w + 4/3.
(w - 2)**2/3
Let -235/2*u**3 + 295/2*u**2 + 15/2 + 25*u**4 - 125/2*u = 0. Calculate u.
1/5, 1/2, 1, 3
Let y(s) be the first derivative of -6 + 2*s - s**2 + 5/6*s**3 - 1/3*s**4 + 1/20*s**5. Let l(z) be the first derivative of y(z). Determine h so that l(h) = 0.
1, 2
Let f(d) be the third derivative of -d**5/210 + 5*d**4/84 - 2*d**3/7 + 58*d**2. Factor f(n).
-2*(n - 3)*(n - 2)/7
Let v(y) be the third derivative of 0*y**3 + 0 - 1/200*y**6 + 1/560*y**8 + 3/350*y**7 + 0*y + 0*y**4 - 3/100*y**5 - 19*y**2. Suppose v(l) = 0. Calculate l.
-3, -1, 0, 1
Let k(q) be th