45. Suppose 2/5*n**2 + q*n - 2/5*n**3 - 2/5 = 0. What is n?
-1, 1
Let j(d) be the first derivative of -9*d**5/5 + 39*d**4/4 - 13*d**3 + 9*d**2/2 - 58. Factor j(h).
-3*h*(h - 3)*(h - 1)*(3*h - 1)
Let z be 45/12 + (-2)/(-8). Solve 9*n**4 + 8*n**z - 13*n**4 + 4*n**2 + 8*n**3 = 0 for n.
-1, 0
Let p(h) = -2*h**2 - 10*h - 10. Let b be p(-3). Suppose 4*t + b - 2 = 0. Let 2/11*n**2 + t + 2/11*n = 0. Calculate n.
-1, 0
Suppose 71*q = 84*q - 52. Factor -1/3*f**3 - 1/3*f**q + 1/3*f + 0 + 1/3*f**2.
-f*(f - 1)*(f + 1)**2/3
Let a = 1115/46 + -385/23. Suppose -a - 3/2*m**2 + 9*m = 0. Calculate m.
1, 5
Let h be ((-6)/27)/(3 + 8 + 100/(-9)). Solve -5 - 5/2*t**5 + 0*t**4 + 10*t**3 - 15/2*t + 5*t**h = 0.
-1, 1, 2
Let u(r) be the second derivative of 5*r**4/9 + 134*r**3/9 + 52*r**2/3 + 78*r. Find k such that u(k) = 0.
-13, -2/5
Suppose 221/5*p - 321/5*p**2 + 578/5 - 1/5*p**4 + 7*p**3 = 0. Calculate p.
-1, 2, 17
Let t(u) = -u**3 + 20*u**2 - 5*u + 46. Let n be t(20). Let i be 69/18 - 9/n. Find w, given that -7/4*w**5 - 4*w**i + 1/2 + 11/4*w - w**3 + 7/2*w**2 = 0.
-1, -2/7, 1
Suppose 3*z + 5*g = 25, 2*z - 125 + 105 = -4*g. Factor -2/7*p**2 + 0*p - 4/7*p**3 + z - 2/7*p**4.
-2*p**2*(p + 1)**2/7
Let w(c) be the third derivative of -c**8/1344 + 19*c**6/480 - 17*c**5/120 - c**4/8 + 5*c**3/3 + 3*c**2 + 1. Suppose w(s) = 0. What is s?
-5, -1, 2
Let c(p) = -p + 14. Let k be c(10). Suppose -2*i - k = -3*i. Factor -8*t**i - 2*t + 20*t**5 - 16*t**5 + 4*t**3 + 2*t.
4*t**3*(t - 1)**2
Suppose 2*j - 5*o = 31, -27*j + 23*j + 4*o = -32. Factor -14/5*z**2 - 2/5*z**j - 32/5*z - 24/5.
-2*(z + 2)**2*(z + 3)/5
What is f in 0 - f**5 + 11/4*f**4 + 7/4*f - 11/4*f**2 - 3/4*f**3 = 0?
-1, 0, 1, 7/4
Find j, given that -2*j**4 + 22*j**2 - 8617*j**3 + 8649*j**3 - 11*j**2 + 25*j**2 - 34 - 32*j = 0.
-1, 1, 17
Let q(c) = -c - 10. Let n(v) = 4*v + 31. Let z(p) = -3*n(p) - 8*q(p). Let y be z(-4). Let 0 + 2/3*t + 1/3*t**4 - t**2 + 0*t**y = 0. What is t?
-2, 0, 1
Let z(l) = -l**3 + l + 1. Let s(o) = 13 + 0*o + 3*o + 27*o**2 - 3*o**3 - 42*o**2. Let r(f) = s(f) + 2*z(f). What is j in r(j) = 0?
-3, -1, 1
Let a(q) = -6*q**3 + 44*q**2 - 302*q + 644. Let l(u) = u**3 - u + 1. Let o(c) = a(c) + 4*l(c). Factor o(f).
-2*(f - 9)**2*(f - 4)
Factor -294 + 51*c - 126*c - 48*c**2 - 2*c**3 - c**3 - 156*c.
-3*(c + 2)*(c + 7)**2
Suppose -31 = -7*l + 18. Solve 8 - l*p + 6*p - 3*p - 4*p**2 = 0 for p.
-2, 1
Let i(v) be the second derivative of v**5/30 + 4*v**4/27 + 4*v**3/27 - 7*v + 1. Let i(g) = 0. Calculate g.
-2, -2/3, 0
Let y = -3 - -8. Suppose 5*q = y, 5*p - 22 = q - 3*q. Factor h + 3/4*h**2 - 1/2*h**3 - 1 - 1/4*h**p.
-(h - 1)**2*(h + 2)**2/4
Let p(m) be the third derivative of 2*m**7/105 - m**6/30 - m**5/5 + m**4/6 + 4*m**3/3 + 332*m**2. Let p(a) = 0. Calculate a.
-1, 1, 2
Find g, given that 1269/5*g**2 + 132*g**3 + 20*g**4 + 81/5 + 594/5*g = 0.
-3, -3/10
Let y = 24 - -4. Let u be (1/(-2))/((-7)/y). Factor -2*v**3 - 9*v**u + 21*v**2 - 14*v**2.
-2*v**2*(v + 1)
Let m(t) be the first derivative of t**4/42 + 10*t**3/63 + 2*t**2/7 + 51. Solve m(w) = 0.
-3, -2, 0
Factor -325/3*l**2 - 105*l**4 + 0*l - 5/3*l**5 + 215*l**3 + 0.
-5*l**2*(l - 1)**2*(l + 65)/3
Let h(z) = 4*z**3 - 39*z**2 - 256*z - 324. Let s(d) = 36*d**3 - 352*d**2 - 2304*d - 2912. Let v(r) = 28*h(r) - 3*s(r). Solve v(y) = 0 for y.
-3, -2, 14
Factor o**2 + 10 - 9*o**2 + 8*o**2 + 6*o + o**2 - 50.
(o - 4)*(o + 10)
Factor -12 - 10/3*l - 2/9*l**2.
-2*(l + 6)*(l + 9)/9
Factor -69661 - 79595 + 22520 + 1424*c - 4*c**2.
-4*(c - 178)**2
Let z be -17 + (-5)/(-1) + -5. Let f be z/(-34) + (-10)/(-12). Suppose -6*c + 10/3*c**2 - f = 0. Calculate c.
-1/5, 2
Factor 2/7*n**3 + 12/7 - 12/7*n**2 - 2/7*n.
2*(n - 6)*(n - 1)*(n + 1)/7
Let b(w) be the second derivative of 0 + 5/2*w**2 - 1/48*w**4 + 0*w**3 + 4*w - 1/360*w**5. Let z(k) be the first derivative of b(k). Factor z(p).
-p*(p + 3)/6
Suppose -3*i - 29 = -n, -3*i + 3*n + 17 = 56. Let g be ((-26)/i - (-8 + 6)) + -5. Factor 1/4*b + 1/4*b**2 - g*b**3 - 1/4.
-(b - 1)**2*(b + 1)/4
Determine c so that -456*c - 3/4*c**4 - 69/4*c**3 - 480 - 279/2*c**2 = 0.
-8, -5, -2
Let x = -790 + 14221/18. Let a(f) be the second derivative of 0 + 4*f - 1/30*f**5 + 0*f**2 + 1/63*f**7 - x*f**4 + 0*f**3 + 1/45*f**6. Factor a(w).
2*w**2*(w - 1)*(w + 1)**2/3
Let b(a) be the second derivative of -a**7/3780 + a**5/45 - 7*a**4/6 - 15*a. Let k(j) be the third derivative of b(j). Factor k(y).
-2*(y - 2)*(y + 2)/3
Let c(j) be the second derivative of -j**7/1260 + j**6/90 - 11*j**5/180 + j**4/6 + j**3 + 10*j. Let a(y) be the second derivative of c(y). Factor a(b).
-2*(b - 3)*(b - 2)*(b - 1)/3
Let p(f) be the first derivative of 0*f + 26 + 4/15*f**3 + 2/5*f**4 - 4/25*f**5 - 4/5*f**2. Factor p(r).
-4*r*(r - 2)*(r - 1)*(r + 1)/5
Let k be (-725)/522*(-4)/5. Determine j so that 0 + 2/3*j - k*j**2 + 2/9*j**4 + 2/9*j**3 = 0.
-3, 0, 1
Find r such that 1/4*r**3 + 529/4*r - 23/2*r**2 + 0 = 0.
0, 23
Let h be 1/(11 + (-21)/(252/128)). Solve -6*m**4 - h*m + 33/2*m**3 + 0 - 15/2*m**2 = 0.
-1/4, 0, 1, 2
Let s be -5 - 30/4*94/(-141). Let n(d) be the third derivative of -7*d**2 - 1/3*d**3 + 1/30*d**5 + 1/12*d**4 - 1/60*d**6 + 0*d + s. Factor n(v).
-2*(v - 1)**2*(v + 1)
Let h = 66 + -63. Let t = -3 + h. Factor 1/7*y**2 + t + 0*y.
y**2/7
Let o(i) be the third derivative of -i**5/30 + i**4/12 - 39*i**2. Factor o(a).
-2*a*(a - 1)
Factor 2*c**3 + 42448320 + 2069*c**2 + 800*c**2 + 624240*c + 3*c**3 + 191*c**2.
5*(c + 204)**3
Let o be 6/48*-6*(-16)/78. Let a be 18/(-27) + 32/39. Let -a + o*l**2 + 0*l = 0. Calculate l.
-1, 1
Let m = -268 + 268. Let x(u) be the second derivative of m + 1/21*u**3 - 5*u + 0*u**4 + 0*u**2 - 1/70*u**5. Factor x(j).
-2*j*(j - 1)*(j + 1)/7
Let o be ((-1078)/70 + 15)*(-4*2 - -2). Solve -3*s**2 - 3/5*s**3 - 24/5*s - o = 0.
-2, -1
Let g be 3 + (15 + -16)/(3 + -2). Suppose -1/2*h + 0*h**g - h**4 + 0 + 3/2*h**3 = 0. Calculate h.
-1/2, 0, 1
Determine j, given that -4*j - 7*j**5 - 12*j**5 + 10*j**2 - 7*j**5 + j**4 + 28*j**5 - 6*j**3 - 3*j**4 = 0.
-2, 0, 1
Let n(b) = -b + 6. Let m(q) = q**2 + 6*q + 7. Let i be m(-5). Let r be n(i). Solve -194*g**2 + 46*g + 144*g**3 + 22*g - 32*g**4 - 8 + r*g = 0 for g.
1/4, 2
Let r(o) = 17*o**2 - 93*o + 387. Let p(z) = -4*z**2 + 23*z - 97. Let l(y) = -26*p(y) - 6*r(y). Factor l(m).
2*(m - 10)**2
Let n = -102/61 + 29417/17629. Let d = n + 585/2023. Factor 0 - 2/7*v**2 + d*v.
-2*v*(v - 1)/7
Let l(a) = 9*a + 27. Let u be l(-3). Let z(v) be the third derivative of 6*v**2 - 1/15*v**6 + 0*v**3 + 0*v**5 + u + 2/35*v**7 + 0*v**4 + 0*v. Factor z(p).
4*p**3*(3*p - 2)
Let o(q) = q**5 - q**4 + q**3 - q**2 - q + 1. Let h(t) = t**5 + 3*t**4 - 16*t**2 + t + 11. Let m = -124 + 125. Let f(c) = m*h(c) - 2*o(c). Factor f(r).
-(r - 3)**2*(r - 1)*(r + 1)**2
Let s = 157/59 + -1609/649. Factor 50/11 - 120/11*p - 24/11*p**3 + s*p**4 + 92/11*p**2.
2*(p - 5)**2*(p - 1)**2/11
Factor -65 - 15/4*l**2 - 100*l.
-5*(l + 26)*(3*l + 2)/4
Suppose 4*w - 5*y = -2, -2*w + y = -0 - 2. Suppose -6*n - w + 14 = 0. What is o in 1/4 - 1/4*o**n + 0*o = 0?
-1, 1
Let l(h) be the second derivative of -h**5/15 - 32*h**4/9 - 442*h**3/9 + 1156*h**2/3 - 52*h. Factor l(t).
-4*(t - 2)*(t + 17)**2/3
Let x = -26 - -28. Factor -5*g**x - 6 - 7*g + 3*g + 21*g.
-(g - 3)*(5*g - 2)
Find y, given that 16*y**2 + 0 + 24*y - 22/3*y**3 + 2/3*y**4 = 0.
-1, 0, 6
Let s(x) be the first derivative of x**6/8 + 3*x**5/4 - 3*x**4/2 - 3*x**3 - 85. Solve s(i) = 0 for i.
-6, -1, 0, 2
Let k(n) = -4*n**2 - 162*n - 158. Let r(g) = -4*g**2 - 163*g - 159. Let y(z) = 5*k(z) - 6*r(z). Find s, given that y(s) = 0.
-41, -1
Factor -25*l - 41*l**3 - 196 - 59*l + 122*l**2 + 2*l**4 + 42*l + 11*l**3.
2*(l - 7)**2*(l - 2)*(l + 1)
Let g(s) be the third derivative of -s**6/30 - s**5/3 + s**4/6 + 10*s**3/3 - 11*s**2. Factor g(i).
-4*(i - 1)*(i + 1)*(i + 5)
Let v(x) be the first derivative of 3*x**5/10 - 13*x**4/8 + 11*x**3/6 + 5*x**2/4 - 3*x - 278. Determine j, given that v(j) = 0.
-2/3, 1, 3
Let r(b) = -11*b**3 - 4*b**2 + 21*b. Let c(u) = -53*u**3 + 8*u**3 + 55*u - 5*u**2 + 30*u - 10*u**2. Let j(p) = -6*c(p) + 25*r(p). Solve j(q) = 0 for q.
-3, 0, 1
Let a(o) = 6*o**2 + 6*o - 3. Let i(m) = -1. Let c(l) = a(l) + 3*i(l). Let f be c(1). Factor -f*q**2 + 9/2 - 33/2*q.
-3*(q + 3)*(4*q - 1)/2
Let r(x) be the second derivative of 