t z(l) = 45*l**5 - 12*l**4 - 45*l**3 + 14*l**2 + 14*l - 2. Let f(g) = q*x(g) - 5*z(g). Solve f(i) = 0.
-1, -2/5, 1/3, 1
Suppose -y - 3 = b, -4*y = -0*b - b + 22. Let c = y + 7. Factor 3*n**c - n**2 - 3 + 1.
2*(n - 1)*(n + 1)
Let a = 236 + -231. Let y(o) be the second derivative of 0 + 1/12*o**4 + 1/3*o**3 - 1/20*o**a + 3*o + 0*o**2. Solve y(n) = 0 for n.
-1, 0, 2
Determine f, given that 0 - 9*f - 27/2*f**2 + 3/2*f**4 - 7/2*f**3 + 1/2*f**5 = 0.
-3, -2, -1, 0, 3
Suppose -2*l - 3*l = 4*u - 17, 0 = -5*u + 2*l + 13. Let d be u/(3 - 1*-12). Let 0 + d*p**2 - 2/5*p = 0. Calculate p.
0, 2
Let r(v) = v. Let s(l) = -l**3 + 4*l**2 + 4*l. Let x be (0 - -2) + (72/8)/(-9). Let q(b) = x*s(b) - 4*r(b). Factor q(d).
-d**2*(d - 4)
Let v(r) be the first derivative of -33*r**6/2 - 51*r**5/5 + 159*r**4/4 + 21*r**3 - 30*r**2 - 12*r + 29. Suppose v(j) = 0. What is j?
-1, -2/11, 2/3, 1
Let t(o) = o**3 - 11*o**2 + 9*o + 18. Let x be t(10). Suppose 4*y = 8*y - 4*i - x, y = 2*i. Factor l**3 + 0 - 2/3*l**2 - 1/3*l**y + 0*l.
-l**2*(l - 2)*(l - 1)/3
Let f(a) be the second derivative of a**9/13608 + a**8/3780 + a**7/3780 + a**3/2 + 16*a. Let h(j) be the second derivative of f(j). Factor h(m).
2*m**3*(m + 1)**2/9
Suppose 1/6*m**2 + 46/3 - 8*m = 0. Calculate m.
2, 46
Let q(h) = 7*h**2 + h - 7. Let y(l) = 15*l**2 + 2*l - 15. Let s(u) = 13*q(u) - 6*y(u). Let g(p) = p - 2. Let f(m) = g(m) - 3*s(m). Factor f(k).
-(k + 1)*(3*k - 1)
Let x(q) be the third derivative of 1/24*q**4 + 0 + 10*q**2 + 1/336*q**8 + 0*q**3 + 0*q + 0*q**5 - 1/60*q**6 + 0*q**7. Find i, given that x(i) = 0.
-1, 0, 1
Let y(t) = 475*t + 480. Let u be y(-1). Factor 5/3 + u*q + 5*q**2 + 5/3*q**3.
5*(q + 1)**3/3
Let k(w) be the first derivative of 7*w**5/60 - w**4/6 + 2*w**3/21 - 5*w**2/2 + 10. Let q(t) be the second derivative of k(t). Find y such that q(y) = 0.
2/7
Let x(a) be the second derivative of -a**6/30 + 3*a**4/2 + 16*a**3/3 + 15*a**2/2 + 143*a. Let x(v) = 0. What is v?
-3, -1, 5
Let i = 145 + -141. Let l(c) = c**2 - 6*c + 6. Let v(w) = 1. Let h(k) = l(k) - 5*v(k). Let r(n) = -n + 1. Let p(x) = i*r(x) - h(x). Factor p(q).
-(q - 3)*(q + 1)
Let q(u) be the third derivative of 1/120*u**4 + 0*u + 1/300*u**5 - 1/15*u**3 + 0 + 5*u**2. Factor q(m).
(m - 1)*(m + 2)/5
Let i(b) = -2*b**2 + b - 1. Let d(o) = 9*o**2 - 15*o. Let h(k) = -d(k) - 6*i(k). Factor h(s).
3*(s + 1)*(s + 2)
Let h(b) = b**3 - b**2 - 1. Suppose 3*y = 13 + 5. Let r(s) = -231 + y*s + 8*s**3 - 16*s**2 + 223 + 6*s. Let j(z) = -4*h(z) + r(z). Factor j(c).
4*(c - 1)**3
Let a = 171 - 169. Factor 7/3*o**a - 11*o - 10/3.
(o - 5)*(7*o + 2)/3
Suppose -7184*m**2 + m + 7185*m**2 + 0*m - 30 = 0. What is m?
-6, 5
Suppose 5*d - 5 = -q, -2*q - 16 = -3*d - 13. Let b(v) = v**3 + 5*v**2 - 2*v - 6. Let r be b(-5). Solve -6/11*t**2 + 2/11*t + 6/11*t**3 - 2/11*t**r + q = 0.
0, 1
Let q(d) be the second derivative of d**5/70 - d**4/14 - 16*d**3/21 - 12*d**2/7 - d - 465. Factor q(h).
2*(h - 6)*(h + 1)*(h + 2)/7
Let j(k) be the third derivative of k**5/360 - 11*k**4/24 + 121*k**3/4 + 62*k**2. Let j(s) = 0. Calculate s.
33
Let u(g) = 4*g**5 + 128*g**4 + 150*g**3 - 140*g**2 - 130*g. Let r(l) = -l**5 + l**4 - 2*l**3 + l**2 - l. Let b(v) = 6*r(v) + u(v). Let b(f) = 0. What is f?
-1, 0, 1, 68
Factor 4*b**2 + 2*b**3 + 0*b + 5*b**2 - 13*b**2 - 8 - 14*b.
2*(b - 4)*(b + 1)**2
Find p, given that 2304/11*p - 102/11*p**4 + 1444/11*p**3 + 2/11*p**5 - 3648/11*p**2 + 0 = 0.
0, 1, 2, 24
Let b(c) be the first derivative of c**4/12 + 14*c**3/9 - 712. Factor b(i).
i**2*(i + 14)/3
Let t(q) be the first derivative of -q**8/672 + q**7/420 + 11*q**2/2 + 8. Let i(k) be the second derivative of t(k). What is c in i(c) = 0?
0, 1
Let h(z) be the second derivative of -z**6/240 - 3*z**5/160 + 7*z**4/48 + z**3/4 - 5*z**2/2 + 3*z + 45. Suppose h(g) = 0. Calculate g.
-5, -2, 2
Suppose 4*s = -8*r + 4*r + 32, -2*s = -12. Factor -6/5 - 1/5*u**r - 7/5*u.
-(u + 1)*(u + 6)/5
Let d = 6239 - 6236. Factor -2/5*o**4 - 294/5*o**2 + 0 - 42/5*o**d - 686/5*o.
-2*o*(o + 7)**3/5
Let d = -5 + 9. Suppose -i - 20 = -4*a + i, a = -d*i - 13. Factor 3*l**a + 20*l - 3 + 0*l**2 + 3*l**2 - 23*l.
3*(l - 1)*(l + 1)**2
Let r(m) = -m - 5. Let c be r(-7). Factor -4*f**3 + 3*f - 6 - f**3 + 0*f**3 + c*f**3 + 6*f**2.
-3*(f - 2)*(f - 1)*(f + 1)
Let h = 15 + -10. Factor -h*x + 2*x**2 + x + 0*x + 2*x**3.
2*x*(x - 1)*(x + 2)
Let l be (4/(-14))/2 + 1/7. Factor -4*m**2 - 15*m - 4*m**2 + l*m**2 + 3*m**2.
-5*m*(m + 3)
Let l be -7 + 279/39 + (98/(-130) - -1). Factor 3/5*h**2 - 1/5*h**4 + 4/5*h - 4/5 - l*h**3.
-(h - 1)**2*(h + 2)**2/5
Suppose 5*d + 2*l - 11 = 0, 0 = -l + 2*l + 2. Suppose d*c + 0*c - 4*j + 11 = 0, 4*j - 20 = 0. Factor c*v**2 + 36 - 3*v + 0*v - 39 + 3*v**3.
3*(v - 1)*(v + 1)**2
Let f(a) = -3*a**2 + 2*a - 6. Let v(r) = -4*r**2 + r - 7. Suppose 0 = -4*m, n - m + 6 = 3*n. Let s(o) = n*f(o) - 2*v(o). Find d such that s(d) = 0.
2
Let x(f) be the third derivative of f**7/70 - 19*f**6/40 + 9*f**5/10 - 45*f**2. Factor x(y).
3*y**2*(y - 18)*(y - 1)
Let q(y) be the first derivative of -27/5*y - 7 - 12/5*y**2 + 1/5*y**3. Factor q(g).
3*(g - 9)*(g + 1)/5
Suppose 20*s - 132 = 9*s. Determine g so that -s*g**5 + 12*g**2 + 11 + 46*g**3 - 42 + 4*g**4 + 15 - 32*g - 2*g**3 = 0.
-1, -2/3, 1, 2
Determine l so that -3*l**3 - 5324*l + 212*l**3 - 95*l**3 + 195*l**3 - 62*l**4 + 285*l**3 + 2*l**5 - 1210*l**2 = 0.
-2, 0, 11
Suppose -2*g = -4*g + 22. Let v(n) = n**2 - 10*n - 5. Let s be v(g). Determine c so that s*c + c**3 - 27 + 21*c - c**2 - 8*c**2 = 0.
3
Let j(i) be the first derivative of 2 + 0*i**2 + 0*i**4 + 0*i**3 - 1/20*i**5 + 0*i - 1/12*i**6. Factor j(a).
-a**4*(2*a + 1)/4
Let y = 3/382 + 9899/4202. Let -4/11 - y*g - 8/11*g**4 - 34/11*g**3 - 48/11*g**2 = 0. What is g?
-2, -1, -1/4
Suppose 0 = m - 3*f + 6, -4*f - 3 = -6*m + m. Factor -4 + 4*y**4 + 3*y - 8*y**m + 3*y + 2*y.
4*(y - 1)**3*(y + 1)
Let b(s) = 7*s**2 + 22*s + 10*s**2 - 7*s**2 - 20. Let w(g) = 29*g**2 + 65*g - 60. Let r(f) = 17*b(f) - 6*w(f). Factor r(y).
-4*(y - 1)*(y + 5)
Let o(y) be the third derivative of -y**7/630 - y**6/24 - 37*y**5/90 - 11*y**4/6 - 4*y**3 - 12*y**2 - 6. Factor o(q).
-(q + 1)*(q + 2)*(q + 6)**2/3
Let z(j) = -j**3 + 6*j**2 + 6*j - 26. Let c be z(6). Solve -42 + 27 + 19 - 4*g**3 + c*g + 2*g**2 = 0 for g.
-1, -1/2, 2
Let i = -13 - -15. Suppose 0 = a + 6 - 8. Let 0*r + 8*r - 4 - 6*r**2 + a*r**i + 0 = 0. Calculate r.
1
Let v(t) be the first derivative of 4*t**3/3 - 32*t**2 + 112*t - 101. Factor v(q).
4*(q - 14)*(q - 2)
Let m = -45643/3 - -15215. Find g such that m*g**2 - 2/3*g - 4/3 = 0.
-1, 2
Let h(s) = 4*s**2 - 12*s + 14. Let g(k) = -2*k + 24. Let f be g(11). Let j(v) = 9*v**2 - 25*v + 29. Let b(q) = f*j(q) - 5*h(q). What is c in b(c) = 0?
2, 3
Let o(l) be the second derivative of -l**4/6 - 3*l**3 - 20*l**2 + 2*l + 217. Find s, given that o(s) = 0.
-5, -4
Suppose -202*b = 38 - 644. Solve r**2 - 4/3 + 1/3*r**b + 0*r = 0 for r.
-2, 1
Let s(r) = 51*r**2 - 78*r - 99. Let h(g) = -7*g**2 + 11*g + 14. Let i(u) = 15*h(u) + 2*s(u). Determine c so that i(c) = 0.
-1, 4
Let n = -40 + 40. Suppose -k - 3 = z - n*k, 15 = 4*z - 5*k. Factor -2/7*q**3 - 4/7*q**2 + 0*q + z.
-2*q**2*(q + 2)/7
Suppose 0 = 8*r - 3*r - 15. Let w = 730 + -709. Factor -8 + w*j**2 + 0 - 10*j**3 + j**r - 4.
-3*(j - 2)*(j - 1)*(3*j + 2)
Let j(y) be the third derivative of -y**6/1440 + 7*y**3/6 + 2*y**2. Let g(k) be the first derivative of j(k). Let g(d) = 0. Calculate d.
0
Factor -6/7*w**4 + 6/7*w**5 + 6/7*w**2 + 48/7*w - 30/7*w**3 + 24/7.
6*(w - 2)**2*(w + 1)**3/7
Let w(m) be the first derivative of m**4/3 + 97*m**3/9 + 100*m**2 + 48*m + 14. Factor w(j).
(j + 12)**2*(4*j + 1)/3
Let q(x) = -x**3 - 9*x**2 - 9. Let z be q(-9). Let y(w) = -w**3 - 9*w**2 + 3. Let n be y(z). Factor 18/5*p**2 - 6*p**n + 14/5*p**4 - 2/5*p + 0.
2*p*(p - 1)**2*(7*p - 1)/5
Let k(m) be the third derivative of m**8/1008 + 4*m**7/315 + m**6/60 - 2*m**5/45 - 7*m**4/72 - 9*m**2. Solve k(s) = 0.
-7, -1, 0, 1
Find n, given that -29645 + 59*n**2 - 144*n**2 - 770*n + 80*n**2 = 0.
-77
Let h be (-6)/(-4)*(-60)/(2 + -22). Determine w, given that 0*w**2 + 21/4*w - h - 3/4*w**3 = 0.
-3, 1, 2
Let g(u) = -2*u**2 - 4 + 2*u**2 + 7 + u**3 - 3*u + 2*u**2. Let q be g(-3). Find m such that 0*m**2 - 2*m**2 + q + m**2 - 2*m - 4 = 0.
-1
Let j(a) = -a**2 + 137*a +