termine u so that b(u) = 0.
-1, 0, 1, 2
Let f(j) = -j + 33. Let g be f(29). Let i be 9/7 + (-3 - (g - 7)). Factor -i*k - 6/7 - 3/7*k**2.
-3*(k + 1)*(k + 2)/7
Let t(h) = h**2 - h - 1. Let f(s) = -2*s**3 + 5*s**2 - 5*s + 3. Let i = -40 + 20. Let v be 2*5/i*2. Let m(z) = v*f(z) - 3*t(z). Factor m(w).
2*w*(w - 2)**2
Let w(j) = j**2 - j + 1. Let k(q) = -3*q**2 - 28*q - 227. Let l(v) = -v**3 - 19*v**2 - 18*v - 5. Let r be l(-18). Let c(f) = r*k(f) - 10*w(f). Factor c(y).
5*(y + 15)**2
Let z(y) = y**3 + y**2 - 6*y - 7. Let p be z(-3). Let j = p - -12. Factor 0 + 2/3*x**3 - 2/3*x**j + 2/3*x**4 - 2/3*x**2 + 0*x.
-2*x**2*(x - 1)**2*(x + 1)/3
Let f be (-3)/(28 + (-3504)/120). Suppose -60*t - f*t**2 - 360 = 0. What is t?
-12
Let z be -1 + 3 + 3*(-30 + 1). Let c = z - -341/4. Determine o, given that -1/4 + c*o**2 + 0*o = 0.
-1, 1
Let v be 4 - (10*20/(-50))/(0 + -2). Let w = -5 + 8. Factor -1/2*t**4 - 5/2*t**w - 4*t**2 + 0 - v*t.
-t*(t + 1)*(t + 2)**2/2
Let b(j) = 3*j**3 - j**2 - 4*j - 4. Let g(w) = -2*w**3 + 2*w**2 + 3*w + 3. Let s(x) = 3*b(x) + 4*g(x). Let s(r) = 0. Calculate r.
-5, 0
Let b(k) = 5*k**3 + 8*k**2 + 11*k. Suppose -8 = 3*d + 1. Let z(o) = -6*o**3 - 7*o**2 - 12*o + 1. Let m(v) = d*b(v) - 2*z(v). Factor m(c).
-(c + 1)*(c + 2)*(3*c + 1)
Suppose 3*w = -55*w - 56*w. Let l(o) be the second derivative of w - 1/6*o**4 - 13*o - 6/5*o**2 + 17/15*o**3. Let l(j) = 0. What is j?
2/5, 3
Let k = -590/23 + 15892/69. Let a = -202 + k. Factor a*t**3 + 4/3*t**4 + 2/3 - t**2 - 5/3*t.
(t + 1)*(t + 2)*(2*t - 1)**2/3
Let n(s) = s**3 - s**2 - 8*s - 5. Let x be n(4). Suppose 0 = -7*a + 3 + x. Factor 2/3*u**4 + 1/3*u**5 + 0 + 0*u + 0*u**a + 1/3*u**3.
u**3*(u + 1)**2/3
Let g = -30/187 + 55973/374. Let a = -149 + g. Factor -5/2*o + 1/2*o**3 - a*o**2 - 3/2.
(o - 3)*(o + 1)**2/2
Suppose -4*w + 2*w - 2*m + 8 = 0, 4*m - 14 = -3*w. Factor 3 + 1/3*i**2 + w*i.
(i + 3)**2/3
Let u(w) be the first derivative of 2*w**3/33 - 6*w**2/11 + 16*w/11 - 58. What is a in u(a) = 0?
2, 4
Let v(p) be the second derivative of -45*p**8/224 + 3*p**7/14 - p**6/10 + 2*p**5/75 + p**4/4 - 5*p. Let u(t) be the third derivative of v(t). Factor u(z).
-2*(15*z - 2)**3/5
Suppose 0 = -22*v + 18*v. Let t(b) be the second derivative of 2*b - 1/50*b**5 + 0 + v*b**2 + 0*b**3 - 1/30*b**4. What is r in t(r) = 0?
-1, 0
Let k(y) be the first derivative of 1/3*y**3 - 2/3*y**2 - 2 - 4/3*y. Factor k(w).
(w - 2)*(3*w + 2)/3
Factor 24*q + 33 + 36*q**2 - 17*q + 16*q**2 - 7*q**3 - 85*q**2.
-(q - 1)*(q + 1)*(7*q + 33)
Suppose 0 = -a - 7*a + 48. Let r be -2 + 123/45 - 2/a. Solve 0*z - 3/5*z**3 + 0 + 1/5*z**4 + r*z**2 = 0.
0, 1, 2
Factor 66*j**3 - 195*j**4 + 62*j**4 + 66*j**4 + 414*j**3 + 27848*j - 14868*j**2 + 63*j**4.
-4*j*(j - 59)**2*(j - 2)
Let u(b) = -b**2 - 5*b + 1. Let l be u(-4). Let q(x) = x**2 - 1. Let j(c) = -7*c**2 - 2*c + 17. Let y(z) = l*q(z) + j(z). Factor y(h).
-2*(h - 2)*(h + 3)
Let x(q) = -155*q**3 - 1540*q**2 - 3565*q + 14125. Let g(l) = 7*l**3 + 70*l**2 + 162*l - 642. Let b(i) = 45*g(i) + 2*x(i). Factor b(s).
5*(s - 2)*(s + 8)**2
Let -131*w - w**4 + 74*w**2 + 167*w + 40*w**3 + 3*w**4 = 0. Calculate w.
-18, -1, 0
Let w(i) be the third derivative of -i**8/40320 + i**7/1890 - i**6/270 - i**4 + 5*i**2 + 1. Let h(a) be the second derivative of w(a). Solve h(d) = 0.
0, 4
Let u(q) = 7*q**4 + 23*q**3 + 32*q**2 - 18*q - 42. Let w(v) = -15*v**4 - 45*v**3 - 65*v**2 + 35*v + 85. Let p(z) = 5*u(z) + 2*w(z). Factor p(y).
5*(y - 1)*(y + 2)**3
Let y(a) be the third derivative of -a**5/20 + 24*a**4 - 4608*a**3 + a**2 - 274. Factor y(w).
-3*(w - 96)**2
Let u(f) be the first derivative of f**7/70 - f**6/40 - 9*f**5/40 - f**4/4 - 4*f**3 - 13. Let t(a) be the third derivative of u(a). Find w such that t(w) = 0.
-1, -1/4, 2
What is d in -5*d**2 + 4*d**2 + 2*d**2 + 24*d - 4*d**2 = 0?
0, 8
Determine p so that 2*p**2 - 58*p + 3142 - 3142 = 0.
0, 29
Let h(z) be the first derivative of z**3/21 - 60*z**2/7 + 3600*z/7 + 188. Factor h(x).
(x - 60)**2/7
Suppose 2*p - 8 = -3*c, -2*c + 0*c + 16 = -4*p. Suppose -3*m - j = -1, -3*m + 2*j - 4 = c*j. Let 3/2*l + 1/2*l**m + 1 = 0. What is l?
-2, -1
Let c(o) be the second derivative of 5*o**4/12 + 85*o**3/6 + 40*o**2 - 5*o. Let c(h) = 0. What is h?
-16, -1
Let q be 1 - (-1 + 8/(0 + 4)). Let i(z) = z**2 - 2*z - 1. Let b be i(3). Solve -s + q + 7/2*s**3 + 5/2*s**b = 0.
-1, 0, 2/7
Let h(n) be the first derivative of 25/4*n**4 + 15*n - 5/3*n**3 - 25/2*n**2 - 2*n**5 + 8. Let h(q) = 0. What is q?
-1, 1, 3/2
Let v(x) be the second derivative of -x**5/4 - 5*x**4/4 + 5*x**3/6 + 15*x**2/2 - 2*x - 137. Factor v(a).
-5*(a - 1)*(a + 1)*(a + 3)
Let a(j) be the third derivative of 13*j**2 + 0*j**4 - 1/180*j**6 + 0 + 0*j**3 + 1/1512*j**8 + 0*j - 1/135*j**5 + 0*j**7. Factor a(x).
2*x**2*(x - 2)*(x + 1)**2/9
Suppose 4*f = 3*j - 32, 1 = -2*j + 4*f + 29. Suppose -2*i**2 + 22*i**2 + 0*i**4 - 2*i**j - 3*i**4 = 0. What is i?
-2, 0, 2
Let j(k) be the second derivative of -3*k**5/5 + 37*k**4/3 - 80*k**3/3 - 88*k**2 + 9*k - 8. Factor j(z).
-4*(z - 11)*(z - 2)*(3*z + 2)
Let g be (2 + 161/(-81))/((-8)/(-48)). Let f(b) be the second derivative of -1/9*b**2 + 0 - 1/54*b**4 - 2*b + g*b**3. Determine u, given that f(u) = 0.
1
Let u = -15411/2 + 23582/3. Determine m so that 343/6 + 154*m**2 - u*m - 200/3*m**3 + 32/3*m**4 = 0.
1, 7/4
Let l = 125/147 + -9/49. Let d(y) be the second derivative of 0 - l*y**4 - 3*y - y**2 + 4/3*y**3. Determine b, given that d(b) = 0.
1/2
Let o = 12896 - 12894. Let 1/5*a**3 - 2/5*a + 0 + 1/5*a**o = 0. Calculate a.
-2, 0, 1
Suppose -18*x + 2*x - 58*x + 5*x**2 + 0*x + 150 - 11*x = 0. Calculate x.
2, 15
Suppose 24 = 3*g - 3*v, 5*v = -8 - 7. Let z be (-3)/(-15) + g/((-300)/(-8)). Determine k, given that k**3 - 7/3*k**2 - z + 5/3*k = 0.
1/3, 1
Suppose 6 - 26 = -5*a. Factor 4*s**2 + s - 5*s**2 - a*s**2 + 4*s**2.
-s*(s - 1)
Let f(n) = -13*n**3 - 112*n**2 + 4. Let a(c) = 11*c**3 + 114*c**2 - 3. Let z(d) = -4*a(d) - 3*f(d). Factor z(s).
-5*s**2*(s + 24)
Let z = -3/2153 + 316506/10765. Let -12/5 + 141*u**3 - 105*u**4 - 87*u**2 + z*u**5 + 24*u = 0. What is u?
2/7, 1
Let f(r) be the third derivative of -r**5/20 - r**4/4 - r**3/2 + 3*r**2 - 13*r. Factor f(g).
-3*(g + 1)**2
Suppose 4*c + 5*c = 0. Determine g, given that c*g + 3/5*g**2 + 0 = 0.
0
Let l be ((-30)/5 + 7)*3 - -1. Solve 6*j**l + 15/2*j**3 + 0*j + 3*j**2 + 3/2*j**5 + 0 = 0.
-2, -1, 0
Suppose 2*q + 12*q - 56 = 0. Let z(f) be the second derivative of 0 + 7*f - f**2 - 1/6*f**3 + 1/12*f**q. Let z(k) = 0. Calculate k.
-1, 2
Let n(o) be the second derivative of 0 - 1/8*o**4 + 3/8*o**3 - 9/80*o**5 + 3/4*o**2 - 9*o. Factor n(p).
-3*(p - 1)*(p + 1)*(3*p + 2)/4
Let q = 5/59 - -29/354. Let g(u) be the third derivative of -1/210*u**7 - q*u**3 - 1/6*u**4 + 0 - 5*u**2 - 1/10*u**5 - 1/30*u**6 + 0*u. Factor g(m).
-(m + 1)**4
Let q(y) be the second derivative of -y**8/24 + y**7/21 + y**6/30 - 5*y**2/2 - 4*y - 6. Let r(k) be the first derivative of q(k). Determine s so that r(s) = 0.
-2/7, 0, 1
Let j = 14 + -10. Factor 7*k - 2*k**3 + 5*k + 12*k**2 + 6*k**3 + j.
4*(k + 1)**3
Let j(u) be the second derivative of u**6/30 - 3*u**5/20 - 5*u**4/12 + u**3/2 + 2*u**2 + 10*u + 4. What is h in j(h) = 0?
-1, 1, 4
Let t(o) = 6*o**4 + 12*o**3 + 13*o**2. Let x(f) be the second derivative of -f**6/30 - f**5/10 - f**4/6 - 15*f. Let s(c) = -6*t(c) - 39*x(c). Factor s(l).
3*l**3*(l + 2)
Let v be -3*(-21)/5 + -12. Factor -6/5*l**2 + 3/5*l**3 + v*l + 0.
3*l*(l - 1)**2/5
Let u(n) be the third derivative of -n**6/60 - 2*n**5/5 - 5*n**4/3 - 959*n**2. Factor u(l).
-2*l*(l + 2)*(l + 10)
Let r(y) be the first derivative of -y**6/30 - 3*y**5/20 - y**4/6 - 15*y + 3. Let h(w) be the first derivative of r(w). Let h(t) = 0. Calculate t.
-2, -1, 0
Let h(x) be the third derivative of x**5/225 - 7*x**4/180 - x**3/5 + 79*x**2. Factor h(n).
2*(n + 1)*(2*n - 9)/15
Suppose -14 = -w - 3*s, 4*w - 5*s + 0 = -12. Let h(n) = -n + 9*n**w - 8*n + 0*n**2. Let b(k) = -5*k**2 + 5*k. Let l(u) = 11*b(u) + 6*h(u). Factor l(f).
-f*(f - 1)
Let i(o) = -25*o + 225. Let g be i(9). Suppose 0 + 2/7*b**4 + 0*b + 2/7*b**3 + g*b**2 = 0. Calculate b.
-1, 0
Suppose -5*o = -u + 27, -3*o + 6 = 21. Let w be 7/(-3*(-4)/18). Factor 0*j + 0 - w*j**3 - 3*j**u - 9/2*j**4.
-3*j**2*(j + 2)*(3*j + 1)/2
Let o(m) = -8*m**3 - 4*m**2 + 70