*2/10 - 6*k/5 + 19. Solve g(c) = 0 for c.
-3, -2, -1
Let l(m) be the third derivative of 1/20*m**5 + 0*m**3 + 0 + 0*m**4 + 0*m + 9*m**2. Factor l(k).
3*k**2
Let x = -25719/13 + 1979. Suppose -2/13*u**2 - x - 10/13*u = 0. Calculate u.
-4, -1
Let v = -6833 + 6833. Factor v + 0*d**2 + 0*d**3 - 2/5*d**5 + 2/5*d**4 + 0*d.
-2*d**4*(d - 1)/5
Factor -336*m - 576/5 + 9*m**4 - 87*m**3 - 317*m**2 - 1/5*m**5.
-(m - 24)**2*(m + 1)**3/5
Let r(b) be the second derivative of b**6/135 - 5*b**4/54 + 4*b**2/9 + 3*b - 16. What is j in r(j) = 0?
-2, -1, 1, 2
Determine i, given that 6 - 9 + 39*i + 52*i**2 + 2*i**3 + 31 + 59*i + 20 = 0.
-24, -1
Let z(a) = a**2 - 1. Let p(q) = 10*q**2 - 430*q - 440. Let x(v) = -p(v) + 5*z(v). Factor x(i).
-5*(i - 87)*(i + 1)
Let j(i) = -5*i - 32. Suppose -2*k = 12*k + 98. Let x be j(k). Find f such that 3/2*f**2 + 0 - 1/2*f**x - f = 0.
0, 1, 2
Suppose 4 = t + 2*l, -4*t - l = -21 - 9. Factor -t - 9 - 6 - 9 - 4*v**2 + 24*v.
-4*(v - 4)*(v - 2)
Let v(l) be the second derivative of l**7/21 - l**6/3 + 3*l**5/10 + 5*l**4/6 - 4*l**3/3 - 79*l. Let v(p) = 0. Calculate p.
-1, 0, 1, 4
Factor 40*r**4 + 20*r**4 + 3*r**5 - 1630*r**3 + 729*r - 18*r**4 - 810*r**2 + 1666*r**3.
3*r*(r - 3)*(r - 1)*(r + 9)**2
Let g be (-2)/(-7) + 348/(-42). Let m be (-13)/(-10) - g/40. Solve -3/4*w**2 + 9/4 - m*w = 0.
-3, 1
Let w(a) be the first derivative of 15*a**6/2 + 36*a**5 + 65*a**4/2 - 20*a**3/3 - 15*a**2/2 - 57. Find u such that w(u) = 0.
-3, -1, -1/3, 0, 1/3
Let u = -108 - -113. Let n be (-7 - 132/(-20))/((-1)/u). Factor -3/2 + 3/4*w + 3/2*w**n - 3/4*w**3.
-3*(w - 2)*(w - 1)*(w + 1)/4
Let n(b) = -b**2 + 6*b + 5. Suppose -6*o = -0*o - 36. Let h be n(o). What is m in -2*m**4 - m**5 + 5*m**h - 4*m**5 + m**3 + m**5 = 0?
0, 1
Let o(l) be the first derivative of 4*l**6/21 - 46*l**5/35 - 33*l**4/7 - 94*l**3/21 - 8*l**2/7 - 134. Suppose o(s) = 0. Calculate s.
-1, -1/4, 0, 8
Let j(w) be the second derivative of -1 - 1/6*w**3 - 3/4*w**2 + 4*w + 1/24*w**4. Factor j(y).
(y - 3)*(y + 1)/2
Factor 76*p**2 - 108 - 33*p**3 - 207*p + p**4 - 5*p**4 + p**4 - 205*p**2.
-3*(p + 1)*(p + 3)**2*(p + 4)
Let i(n) be the first derivative of 5 - 2*n**3 - 6*n**2 - 9*n - 1/4*n**4. Let v(g) be the first derivative of i(g). Factor v(l).
-3*(l + 2)**2
Suppose -31 + 3 = -7*f. Factor f*o**2 - o**3 + 4 - 5*o**2 + 6*o - 2*o.
-(o - 2)*(o + 1)*(o + 2)
Suppose o = 3*y + 12, 3*o + 5*y + 14 - 8 = 0. Let u(n) be the first derivative of -6/7*n + 4/21*n**o - 7 + 1/7*n**2. Factor u(w).
2*(w - 1)*(2*w + 3)/7
Let a(u) be the first derivative of 14*u**5/5 + u**4 - 14*u**3 - 20*u**2 - 8*u + 185. Solve a(p) = 0 for p.
-1, -2/7, 2
Let h(r) be the second derivative of r**4/3 + 908*r**3/3 + 103058*r**2 + 899*r. Determine w, given that h(w) = 0.
-227
Let w be (7/(-168))/(-1 + -1). Let z(t) be the second derivative of 1/80*t**5 - w*t**4 + 6*t + 0 + 1/8*t**2 - 1/24*t**3. Determine j so that z(j) = 0.
-1, 1
Let g(f) be the first derivative of -3*f**5/25 - 3*f**4/10 - f**3/5 - 67. Factor g(q).
-3*q**2*(q + 1)**2/5
Let y(w) be the third derivative of -w**5/42 + 22*w**4/21 + 12*w**3/7 - 220*w**2. Factor y(k).
-2*(k - 18)*(5*k + 2)/7
Let r(x) be the first derivative of -6/13*x + 2/39*x**3 - 2/13*x**2 + 7. Factor r(f).
2*(f - 3)*(f + 1)/13
Let t(q) be the second derivative of -q**4/2 - 10*q**3/3 + 11*q**2/2 - 13*q. Let h(k) = k**2 + 4*k - 2. Let y(z) = -33*h(z) - 6*t(z). Solve y(r) = 0.
0, 4
Let s(q) be the second derivative of 2*q**7/21 + 8*q**6/15 - 12*q**5/5 + 2*q**4/3 + 22*q**3/3 - 12*q**2 - 58*q. Let s(f) = 0. Calculate f.
-6, -1, 1
Let a = -1066 + 1070. Factor -1/3*q + 2/3*q**3 - 1/3*q**5 - 1/3 - 1/3*q**a + 2/3*q**2.
-(q - 1)**2*(q + 1)**3/3
Factor 2/3*i**2 - 118/3*i + 0.
2*i*(i - 59)/3
Let f(c) = 7*c - 6. Let j be f(2). Find z such that -j*z - 9*z + 3*z**2 + 8*z = 0.
0, 3
Let i(q) be the third derivative of q**5/100 - q**4/8 - 7*q**3/5 + 2*q**2 + 24. Find y such that i(y) = 0.
-2, 7
Let y be ((-36)/30)/(64/(-10) - -6). Let d = 13 - 6. Find j, given that 7*j**2 + 4*j**2 + d*j**4 - j + 0*j + y*j + 16*j**3 = 0.
-1, -2/7, 0
Let o(r) = 9*r**4 - 24*r**3 - 6*r**2 + 21*r - 12. Let z(d) = 8*d**4 - 25*d**3 - 7*d**2 + 21*d - 13. Let a(w) = 4*o(w) - 3*z(w). Suppose a(s) = 0. What is s?
-1, 3/4, 1
Suppose 2*y = 4*n - 6, -7*n + 508*y = 504*y - 10. Factor 2*p**n + 0 - 5/2*p + 1/2*p**3.
p*(p - 1)*(p + 5)/2
Let c(h) = 35*h**3 - 85*h**2 + 70*h + 20. Let g(n) = -n**3 - n - 1. Let t = -82 + 83. Let w(v) = t*c(v) + 20*g(v). Factor w(l).
5*l*(l - 5)*(3*l - 2)
Suppose -3*n = -2*r + 9, -n + 4*n = 4*r - 21. Let z be r + -7 + 52/3. Factor 0 + 11*d**2 - z*d**4 + 7/3*d**3 + 3*d.
-d*(d - 1)*(7*d + 3)**2/3
Let g = 273 - 273. Let c(h) be the second derivative of -4/3*h**2 + g - 4/9*h**3 + 6*h + 5/6*h**4. Find s, given that c(s) = 0.
-2/5, 2/3
Factor 38/15 + 12/5*f - 2/15*f**2.
-2*(f - 19)*(f + 1)/15
Solve -3/8*h**5 - 21/8*h + 9/4 + 0*h**4 + 3*h**3 - 9/4*h**2 = 0.
-3, -1, 1, 2
Let h = 320643/11 - 29149. Let h*l - 2/11*l**2 + 0 = 0. What is l?
0, 2
Find z, given that 70*z**3 + 13*z**3 + 8*z**5 + 46*z**4 - 23*z**3 + 14*z**2 - 8*z = 0.
-4, -1, 0, 1/4
Let b(z) be the third derivative of -z**8/224 + z**7/20 + z**6/10 - 1016*z**2. Solve b(l) = 0 for l.
-1, 0, 8
Let -450 - 17*u**3 - 1/2*u**4 - 510*u - 349/2*u**2 = 0. What is u?
-15, -2
Let k(m) be the first derivative of 3*m**5/35 - 8*m**3/7 + 48*m/7 - 6. Factor k(u).
3*(u - 2)**2*(u + 2)**2/7
Let v(x) = -x**2 - 55*x + 369. Let k be v(6). Determine r, given that -4/7*r + 0 + 0*r**2 + 3/7*r**k - 1/7*r**4 = 0.
-1, 0, 2
Let g(a) be the third derivative of -a**8/280 - a**7/210 + 7*a**6/480 - a**5/80 + a**4/2 - 12*a**2. Let k(c) be the second derivative of g(c). Factor k(n).
-3*(n + 1)*(4*n - 1)**2/2
Let v = 2/2989 + 5972/8967. Let r(l) be the first derivative of -v*l**3 + 0*l + 0*l**2 - 2/5*l**5 + l**4 - 14. Solve r(k) = 0.
0, 1
Factor 0 - 18/7*g**3 + 2/7*g**4 + 0*g + 4*g**2.
2*g**2*(g - 7)*(g - 2)/7
Let 1/2 + r**3 - 3/4*r - 1/4*r**5 + 0*r**4 - 1/2*r**2 = 0. Calculate r.
-2, -1, 1
What is r in -1/4*r**2 - 225 + 15*r = 0?
30
Let l be (-1)/(((-240)/(-8))/(-6)). Let -l*k**2 - 6/5 - 7/5*k = 0. Calculate k.
-6, -1
Let f(o) = 10*o**2 + 762*o + 36870. Let q(y) = 12*y**2 + 760*y + 36872. Let z(t) = -4*f(t) + 3*q(t). Determine g so that z(g) = 0.
-96
Let h(q) = 11 - 27 + q + 13 + q**2 + q**2. Let a be h(-2). Find k such that 7/5*k**5 + 0*k + 0 - 16/5*k**4 + 11/5*k**a - 2/5*k**2 = 0.
0, 2/7, 1
Solve 3/5*a + a**2 + 0 = 0.
-3/5, 0
Let n = 113 + -109. Let h(d) be the first derivative of -d**2 + 0*d + 2/5*d**5 + 1/2*d**n - 2/3*d**3 - 4. Suppose h(j) = 0. What is j?
-1, 0, 1
Let m(j) = 4*j**2 - 2*j - 1. Let p be m(3). Let 10*g + p*g**2 - 10*g**2 - 16*g**2 - g**3 = 0. Calculate g.
-2, 0, 5
Let u(o) be the first derivative of -4/3*o**2 + 27/5*o**5 + 3 + 76/9*o**3 + 0*o - 33/2*o**4. Factor u(p).
p*(p - 2)*(9*p - 2)**2/3
Let d(x) be the first derivative of -x**4/12 + 4*x**3/9 - 5*x**2/6 + 2*x/3 + 83. Factor d(m).
-(m - 2)*(m - 1)**2/3
Let u(l) be the second derivative of 0*l**3 + 7*l + 0 + 0*l**4 + 1/20*l**5 - 3*l**2. Let b(q) be the first derivative of u(q). Factor b(t).
3*t**2
Determine x so that 7*x - 3/5*x**3 + 9/5 + 23/5*x**2 = 0.
-1, -1/3, 9
Let c be (2/6)/(10/60) + 8. Factor -2 + 0*a**2 - 2*a + a**3 + c - 5*a**2 - 2*a**3.
-(a - 1)*(a + 2)*(a + 4)
Let l(w) = -w**4 + 4*w**3 - w**2 + w. Let f(b) = b**3 - b**2 + b. Let y(k) = -f(k) + l(k). Factor y(n).
-n**3*(n - 3)
Solve -32/3*h + 2/3*h**2 - 24 = 0 for h.
-2, 18
Let j be (-21*(-14)/1176)/(2/16). Suppose 0 + 0*z**j + 0*z + 50/3*z**3 + 20/3*z**4 + 2/3*z**5 = 0. What is z?
-5, 0
Let n(c) be the third derivative of c**8/72 - c**7/35 - c**6/36 + c**5/10 - c**4/18 + 44*c**2 - 1. Find v, given that n(v) = 0.
-1, 0, 2/7, 1
Suppose 0 = -5*b - 4 + 29. Suppose -b = -2*f + 5. Factor 8*r - 5*r**2 - 9*r**4 + 17*r**2 + f*r**4.
-4*r*(r - 2)*(r + 1)**2
Let v(w) be the first derivative of -6*w**2 + 19*w - 2*w**3 + 4 - 28*w + w**3 - 5. Suppose v(i) = 0. What is i?
-3, -1
Let h(o) be the third derivative of o**8/448 + o**7/280 - 9*o**6/160 + 11*o**5/80 - o**4/8 + 683*o**2. Let h(k) = 0. Calculate k.
-4, 0, 1
Let s(c) be the first derivative of -11/12*c**2 - c + 1/6*c**3 + 1 + 1/10*c**5 + 11/24*c**4. What is n in s(n) = 0?
-3, -1, -2/3, 1
Let u = 27 + -18. Let q be (u/(-3) - -1)*-1. Factor