**2 - 18*p + 1. Determine l so that w(l) = 0.
-3
Factor 0*w**2 + 1/4*w**5 - 4*w**4 + 0*w + 7*w**3 + 0.
w**3*(w - 14)*(w - 2)/4
Let v(b) = -b**2 + 4*b + 5. Let l(z) = 2*z**2 - 9*z - 10. Let r(n) = -2*l(n) - 5*v(n). Let p(u) = 3*u**2 - 9*u - 21. Let a(w) = -2*p(w) + 9*r(w). Factor a(k).
3*(k - 1)*(k + 1)
Let o(w) = w**3 + 7*w**2 + 7*w - 12. Let g be o(-5). Solve 9*a - 4*a + 18*a**g - 5*a**4 + 2*a**3 - 25*a**2 + 5*a = 0.
0, 1, 2
Factor -75*o**2 + 41/2*o + 3/2.
-(3*o - 1)*(50*o + 3)/2
Let h(r) = r**2. Let t(k) = -k**2 + 1. Let u(p) = 2*h(p) + t(p). Let z(a) = -3*a**4 - 3*a**3 - 2*a**2 + 3*a - 5. Let f(i) = 5*u(i) + z(i). Factor f(l).
-3*l*(l - 1)*(l + 1)**2
Let f be (-8)/780*-13*6. Suppose 0*s - 1/5*s**4 - f*s**2 + 4/5*s**3 + 0 = 0. Calculate s.
0, 2
Let o(m) be the second derivative of -49*m**5/110 - 91*m**4/11 - 507*m**3/11 - 41*m + 1. Determine v, given that o(v) = 0.
-39/7, 0
Let q(k) be the second derivative of k**6/15 + 3*k**5/10 - k**4/2 - 11*k**3/3 - 6*k**2 + 106*k. Factor q(m).
2*(m - 2)*(m + 1)**2*(m + 3)
Let w be 220/1386*(-18)/15*-1*3. Factor 0 + w*s**2 - 4*s.
4*s*(s - 7)/7
Let d(a) = 155*a**3 - 330*a**2 + 45*a + 530. Let v(k) = -7*k**3 + 15*k**2 - 2*k - 24. Let y(j) = 2*d(j) + 45*v(j). Factor y(x).
-5*(x - 2)**2*(x + 1)
Let n = 16 - 14. Let h be -3 - (n - 3 - 2). Factor -z**2 - z**2 + 3*z**2 + h*z**2.
z**2
Determine l, given that 0*l + 0 - 3*l**4 + 75/4*l**3 - 9/2*l**2 = 0.
0, 1/4, 6
Suppose q + 32 = 5*q. Let v = -6 + q. Determine o, given that -2*o**v + o**2 + 4*o**2 + 0*o + 3*o = 0.
-1, 0
Let x(h) be the second derivative of h**4/6 + 4*h**3 - 10*h - 9. Let x(w) = 0. Calculate w.
-12, 0
Let a be 3 + -3 + -2 + 4. Determine l so that -4*l - 4*l**2 - l**2 + 3*l**a = 0.
-2, 0
Let q(t) be the first derivative of -4*t**3/3 - 58*t**2 - 168. Determine y, given that q(y) = 0.
-29, 0
Let g(b) = -11*b**3 + 24*b**2 + 4*b. Let w(f) = 4*f**3 - 9*f**2 - f. Let x(t) = 3*g(t) + 8*w(t). Factor x(z).
-z*(z - 2)*(z + 2)
Let p be 1/(-1 + 75/10). Let i(u) be the first derivative of p*u - 2/39*u**3 - 1/26*u**4 - 1 + 1/13*u**2. Determine h, given that i(h) = 0.
-1, 1
Suppose 2*x = 9*x - 3*x. Let l(z) be the third derivative of 0 - 1/2*z**4 + 1/15*z**5 + z**2 + 0*z + x*z**3. Factor l(k).
4*k*(k - 3)
Factor 6 - 105*l**2 + 150*l**2 - 350*l - 86.
5*(l - 8)*(9*l + 2)
Let w(o) = 5*o**5 + 18*o**4 + 25*o**3 + 8*o**2 - 2*o - 2. Let j(g) = 21*g**5 + 73*g**4 + 101*g**3 + 33*g**2 - 9*g - 9. Let c(v) = -2*j(v) + 9*w(v). Factor c(t).
t**2*(t + 2)*(t + 3)*(3*t + 1)
Let q be -3 - 11/(-4) - (-114)/(-40). Let g = q - -23/5. Let g*o**2 + 24 + 12*o = 0. Calculate o.
-4
Let n(f) be the first derivative of -f**4/22 + 2*f**3/33 + 5*f**2/11 + 6*f/11 + 40. Factor n(w).
-2*(w - 3)*(w + 1)**2/11
Let p(s) be the first derivative of 4/3*s**2 + 3/2*s**4 + 0*s + 8/3*s**3 + 14. Let p(x) = 0. What is x?
-2/3, 0
Factor 16/3*p**2 + 2*p + 4*p**3 + 0 - 2/3*p**5 + 0*p**4.
-2*p*(p - 3)*(p + 1)**3/3
Factor 0*b**4 - 8*b**4 + 5*b**4 + 20*b**3 - 8*b**2 - 9*b**4.
-4*b**2*(b - 1)*(3*b - 2)
Suppose f + 4*n - 1116 = 0, 3*n + 2818 + 2808 = 5*f. Let w = 5641/5 - f. Find q, given that 6/5*q**5 - 6/5 - 3*q**2 - 21/5*q + w*q**4 + 3*q**3 = 0.
-2, -1, -1/2, 1
Factor -1632/7*h + 221952/7 + 3/7*h**2.
3*(h - 272)**2/7
Let g(n) be the second derivative of 25/3*n**2 - 12*n + 10/9*n**3 + 1/18*n**4 + 0. Determine m, given that g(m) = 0.
-5
Let y = -554 + 557. Let z(h) be the third derivative of 0 + 1/300*h**6 + 0*h**y + 3*h**2 + 1/150*h**5 - 1/30*h**4 + 0*h. Determine x so that z(x) = 0.
-2, 0, 1
Solve 36*b**2 + 68*b + 243*b**4 - 150*b**2 + 5 - 61*b**3 - 128*b**3 - 13 = 0 for b.
-2/3, 2/9, 1
Factor -3/2*d**2 - 99/2*d - 93.
-3*(d + 2)*(d + 31)/2
Let j = 37/126 - 1/14. Let f be 0/((2 + -3)*1). Factor -j*a**2 - 2/9*a**3 + 2/9*a + 2/9*a**4 + f.
2*a*(a - 1)**2*(a + 1)/9
Let m be (-2 - (-4)/(-3))/((-2)/3). Let q(y) be the first derivative of 0*y**3 + 1/2*y**4 + 0*y - 4/5*y**m + 0*y**2 - 1 + 1/3*y**6. Factor q(a).
2*a**3*(a - 1)**2
Let f(y) = -y**2 + 2*y. Let o(n) = -9*n**2 + 6*n + 4. Let g(d) = 10*d**2 - 7*d - 4. Let v(z) = 4*g(z) + 5*o(z). Let m(u) = -f(u) + v(u). Factor m(p).
-4*(p - 1)*(p + 1)
Let y be 6*((-1)/(-3) + 0). Solve 0*b**2 - b**3 + 4*b - b**3 + 3*b**y - 3*b**4 - 4 + 2*b**4 = 0.
-2, 1
Let g(v) be the third derivative of -1/600*v**6 + 0*v**3 + 0*v**4 + 0 + 1/60*v**5 + 28*v**2 + 0*v. Solve g(f) = 0 for f.
0, 5
Let s(d) be the first derivative of 4*d**5/5 - 12*d**4 + 28*d**3 - 20*d**2 + 301. Let s(i) = 0. What is i?
0, 1, 10
Let j(s) be the third derivative of -3*s**6/140 + 20*s**5/21 - 1133*s**4/84 + 242*s**3/21 + 3*s**2 - 11. Determine f so that j(f) = 0.
2/9, 11
Let p(w) = 3*w**2 + 25*w + 28. Let c be p(-7). Factor -2/7*g**3 + 1/7*g**4 + 2/7*g + c*g**2 - 1/7.
(g - 1)**3*(g + 1)/7
Let d(a) = a**2 + 2*a - 2. Let p(h) = 10*h + 9*h - 9*h + 6*h**2 - 11. Suppose 18 = -2*v - 5*r, 33*v - 5*r = 31*v + 2. Let c(n) = v*p(n) + 22*d(n). Factor c(l).
-2*l*(l - 2)
Find f such that 87/4*f**2 + 0 + 27/4*f**3 + 9/2*f = 0.
-3, -2/9, 0
Let n(v) be the first derivative of -v**6/54 + v**4/18 - v**2/18 - 152. Factor n(t).
-t*(t - 1)**2*(t + 1)**2/9
Suppose 2*r = -2*y + 36, 3*y + 2*y = -r + 30. Find w, given that 5*w**2 - 10*w + w**2 - w**2 - r = 0.
-1, 3
Let n be (3/(-21))/(-1*1). Let f(o) = 24*o - 334. Let t be f(14). Factor 3/7*q**t + 0 - n*q.
q*(3*q - 1)/7
Let -22/19*x - 6/19*x**2 + 40/19 = 0. What is x?
-5, 4/3
Let d(g) be the second derivative of -g**2 + 1/15*g**6 + g - 2/3*g**3 + 0*g**4 + 1/5*g**5 + 0. What is u in d(u) = 0?
-1, 1
Suppose d - 3*d = 0. Let z = -2496 + 4995/2. Find l such that d*l - 3/2*l**4 + z*l**2 + 0 + 0*l**3 = 0.
-1, 0, 1
Let w(z) be the third derivative of 0 - 1/18*z**6 + 0*z - 13/180*z**5 + 35*z**2 - 1/36*z**4 + 0*z**3 - 1/70*z**7. Factor w(b).
-b*(b + 1)**2*(9*b + 2)/3
Factor -120/17*g**3 - 2/17*g**5 - 28/17*g**4 + 0*g - 144/17*g**2 + 0.
-2*g**2*(g + 2)*(g + 6)**2/17
Determine v, given that 88*v**5 - 11*v**3 - 29*v**3 - 60*v**2 + 4*v**4 + v**4 - 83*v**5 = 0.
-2, 0, 3
Let d be (-3 - -1)*-1*35/14. Let c(v) be the second derivative of 0 + 1/40*v**6 + 0*v**2 + 3/4*v**4 + v - v**3 - 9/40*v**d. Solve c(r) = 0 for r.
0, 2
Let u(n) be the second derivative of n**6/10 + 7*n**5/10 - 23*n**4/12 + n**3 + 2*n + 112. Factor u(h).
h*(h - 1)*(h + 6)*(3*h - 1)
Let u(s) = 2*s**4 + 8*s**4 - 8*s**4 - 10*s**2 - 4 + s**3 + 7*s. Let v(g) = 3*g**4 - 9*g**2 + 6*g - 3. Let p(l) = 3*u(l) - 4*v(l). Suppose p(w) = 0. What is w?
-1, 0, 1/2, 1
Let m = 52 - 32. Let g be (3 - 0)*m/40. Let -1/3 - 25/6*t**3 - 1/2*t + 7/2*t**2 + g*t**4 = 0. Calculate t.
-2/9, 1
Let v(a) = -6*a**2 - 8*a - 2. Let h(t) = 4*t**2 + 13*t. Let b(y) = -y**2 - 3*y. Let p(r) = -9*b(r) - 2*h(r). Let d(k) = 14*p(k) + 2*v(k). Factor d(c).
2*(c - 2)*(c + 1)
Factor 4/3*y**3 - 8*y**2 + 32/3 - 16/3*y + 4/3*y**4.
4*(y - 2)*(y - 1)*(y + 2)**2/3
Factor -3*y**2 + 79*y - 30 - 151*y + 93*y.
-3*(y - 5)*(y - 2)
Let g be -6*(595/(-42))/17. Let h(w) be the third derivative of 1/6*w**4 - 1/21*w**7 + 0 + 0*w**3 + 1/5*w**6 - 3/10*w**g - 4*w**2 + 0*w. Factor h(r).
-2*r*(r - 1)**2*(5*r - 2)
Let p be 1/4 + (-49)/4. Let u be (128/p)/(4/(-18)). Suppose -u*t**4 - 19*t**3 + 20*t**3 + 43*t**3 + 2*t + 18*t**5 - 16*t**2 = 0. What is t?
0, 1/3, 1
Let c(i) = i**3 + 11*i**2 - i + 13. Let r be c(-11). Suppose -r*x**4 + 12*x**5 - 46 - 3*x**2 + 15*x**3 + 46 = 0. What is x?
0, 1/2, 1
Let h(i) be the third derivative of 0*i**3 + 0 + 1/20*i**6 + 1/20*i**5 - i**2 + 0*i + 1/70*i**7 + 0*i**4. Factor h(a).
3*a**2*(a + 1)**2
Let a(k) = -k**2 + k - 1. Let h(l) = 10*l**2 - 10*l - 5. Let b(o) = 5*a(o) + h(o). Find f such that b(f) = 0.
-1, 2
Find w such that 0 + 0*w**2 + 0*w - 1/2*w**4 + 53/2*w**3 = 0.
0, 53
Let x(z) = -z**2 - 7*z - 1. Let a(c) = -c + 1. Let s(k) = -6*a(k) + 2*x(k). Factor s(y).
-2*(y + 2)**2
Suppose 2*a = 5*v - 2*a - 773, -3*a + 300 = 2*v. Let f = -305/2 + v. Factor -1/2*k - f + k**2 + k**3 - 1/2*k**5 - 1/2*k**4.
-(k - 1)**2*(k + 1)**3/2
Let w(p) be the third derivative of 12*p**2 + 1/36*p**4 - 2/27*p**3 + 0*p - 1/270*p**5 + 0. Find v, given that w(v) = 0.
1, 2
Factor -47/4 - 1/4*t**2 + 12*t.
-(t - 47)*(t - 1)/4
Let b(y) be the second derivative of y**7/5040 - y**6/540 + y**5/180 - 13*y**3/6 + 15*y. Let t(r) be the second derivative of b(r). Factor t(v).
v*(v - 2)**2/6
Suppose 5*a - 3 = 6*