**2 - 2 - n**p + 2.
-n**2
Suppose -4*f + 5*o - 13 = 0, -12 + 1 = -2*f - o. Let x be 3 + ((-7)/f)/((-28)/(-21)). Find s, given that -x*s**2 + 1/2*s + 0 = 0.
0, 2/5
Suppose 0 = 4*q + 2*t - 244, -2*q + 4*t - 17 = -149. Let y be q/36 + (28/18)/(-7). Let v**2 + 0 + 2/3*v**4 + 1/6*v + y*v**3 = 0. What is v?
-1, -1/4, 0
Let r(a) = 10*a + 46. Let k be r(-16). Let d = k - -154. Factor 12*c**3 + d*c**4 + 8*c + 25/2*c**5 + 0 - 32*c**2.
c*(c + 2)**2*(5*c - 2)**2/2
Let l be (-34)/(-3) - 10/30. Factor z + 0 + 0 - 8*z**2 - 4*z**3 + l*z**2.
-z*(z - 1)*(4*z + 1)
Factor 1/5*j**2 + 2/5 + 3/5*j.
(j + 1)*(j + 2)/5
Suppose -65 = -7*o - 6*o. Let k be o - ((-38)/6)/(40/(-30)). Factor 0 + 0*y**2 + 0*y + 1/4*y**3 - k*y**5 + 0*y**4.
-y**3*(y - 1)*(y + 1)/4
Let f(k) = 121*k**3 - 198*k**2 - 84*k - 14. Let s(m) = 242*m**3 - 396*m**2 - 168*m - 26. Let r(l) = -5*f(l) + 3*s(l). Factor r(u).
(u - 2)*(11*u + 2)**2
Suppose 23 = -3*m - 4*z, -2 = 2*m - 0*m - 4*z. Let b be m/((-25)/(-19)) + 4. Factor -1/5 + 1/5*f + b*f**2 - 1/5*f**3.
-(f - 1)**2*(f + 1)/5
Factor 301*r - r**5 - 64*r**2 - 301*r + 5*r**5 + 12*r**3 + 20*r**3 + 28*r**4.
4*r**2*(r - 1)*(r + 4)**2
Let k(j) = j**2 - 8*j - 4. Let p be k(9). Determine w, given that p*w**2 - 10*w - 8 - 5*w**3 + 13*w**2 - 2*w = 0.
-2/5, 2
Let i(a) be the third derivative of -a**8/1008 - a**7/90 - a**6/36 + a**5/9 + 7*a**4/9 + 16*a**3/9 - 71*a**2. Let i(c) = 0. What is c?
-4, -2, -1, 2
Let w(n) = 4*n**2 - 19*n + 13. Let q(r) = 132*r - 56 + 6 + 31 - 73 - 28*r**2. Let o(z) = -3*q(z) - 20*w(z). What is g in o(g) = 0?
2
Let c(i) be the second derivative of -4*i**2 + 16*i - 5/6*i**4 + 1/10*i**5 + 0 + 8/3*i**3. Let c(u) = 0. Calculate u.
1, 2
Let l(a) be the third derivative of -a**5/45 + a**4/6 + 4*a**3 + 94*a**2. Factor l(z).
-4*(z - 6)*(z + 3)/3
Suppose -2/5*s**4 + 24/5 + 2/5*s**2 - 18/5*s**3 + 2/5*s**5 + 8*s = 0. Calculate s.
-2, -1, 2, 3
Let v(u) = u**2 - u + 2. Let w(j) = 2*j**2 - 20*j - 24. Let m(a) = 4*v(a) - w(a). Factor m(z).
2*(z + 4)**2
Determine m, given that 17/3*m + 1/3*m**2 + 52/3 = 0.
-13, -4
Let c(v) = v**3 + 14*v**2 - v - 5. Let j be c(-14). Let o be (j/18)/(2/8). Suppose -46/7*f**3 - o*f**4 - 54/7*f**2 - 4/7 - 26/7*f = 0. Calculate f.
-1, -2/7
Factor 1/4*t**4 + 0*t**3 + 3 + t - 9/4*t**2.
(t - 2)**2*(t + 1)*(t + 3)/4
Let w be 1986/30 - (-3 - -1). Let h = w + -68. Find y, given that -1/5 - h*y**2 + 2/5*y = 0.
1
Let t(k) be the second derivative of -2*k**7/105 - k**6/25 + k**5/25 + 15*k - 1. Determine j so that t(j) = 0.
-2, 0, 1/2
Let p(c) be the third derivative of -3/5*c**5 + 6*c**2 + 6/35*c**7 + 0 - 1/12*c**8 + 1/6*c**6 + 1/3*c**4 + 0*c**3 + 0*c. Let p(d) = 0. What is d?
-1, 0, 2/7, 1
Let v(s) be the first derivative of s**4/18 + 8*s**3/27 + 5*s**2/9 + 4*s/9 + 415. Factor v(a).
2*(a + 1)**2*(a + 2)/9
Let a = -413 - -829/2. Let 0 + 1/2*m - a*m**2 = 0. Calculate m.
0, 1/3
Let t(c) = c**3 - 6*c**2 + 7*c - 7. Let h be t(5). What is g in -5*g**2 + 3*g**2 + 3*g**2 + 2*g**3 - 4*g**h + g**4 = 0?
0, 1
Let g be (368/6 - 1) + 4/(-12). Let -40*u**4 + 81*u**2 - 36*u - g*u**3 + 15 - 49*u + 69*u**2 = 0. What is u?
-3, 1/2
Let n = -70 + 115. Determine c so that -n*c - 22 + 27*c**2 - 6*c**3 + 3*c**3 - 53 = 0.
-1, 5
Suppose -3*w = 3*r - 21, 4*r + 23 = 6*r + 5*w. Let q = 10979/3 - 3657. Factor 0*b + q*b**3 - 2/3*b**2 - 10/3*b**r + 0 + 4/3*b**5.
2*b**2*(b - 1)**2*(2*b - 1)/3
Suppose -4*g - 2 = -30. Factor -27 + w**2 + g*w - 9*w + 28.
(w - 1)**2
Let b = 79 - 76. Let s(j) be the second derivative of -2*j + 1/15*j**b + 0 + 0*j**2 - 1/30*j**4. Factor s(l).
-2*l*(l - 1)/5
Determine y so that -1/2*y**4 - 3*y + 33/4*y**3 - 8*y**2 + 4 - 3/4*y**5 = 0.
-4, -2/3, 1, 2
Let n(i) be the first derivative of 242/3*i - 5 - 22/3*i**2 + 2/9*i**3. Let n(g) = 0. Calculate g.
11
Suppose -4 - 6 = -z. Suppose 8*k + 208 - 248 = 0. Factor k*r**3 + 27*r**2 - 1 + z*r - 12*r**2 + 1.
5*r*(r + 1)*(r + 2)
Let f(l) = 17*l**2 + 2*l - l**2 + 2*l - 3*l**2. Let y(c) = 12*c**2 + 4*c. Let p = 4 - 2. Let h(r) = p*f(r) - 3*y(r). Suppose h(u) = 0. Calculate u.
-2/5, 0
Let z(g) = 31*g**3 - 589*g**2 - 431*g + 144. Let b(y) = -10*y**3 + 295*y**2 + 215*y - 72. Let d(j) = 5*b(j) + 2*z(j). Solve d(t) = 0 for t.
-24, -1, 1/4
Suppose 118*p - 246*p + 107*p = 0. Determine y so that 5/3*y**3 + p + 2/3*y**2 + y**4 + 0*y = 0.
-1, -2/3, 0
Let n(h) = -12*h**5 - 8*h**4 + 8*h**3 - 8*h + 8. Let m = -20 - -12. Let k(f) = -f**5 - f**4 + f**3 - f + 1. Let i(w) = m*k(w) + n(w). Solve i(p) = 0.
0
Let r(s) be the first derivative of 0*s**3 - 4 + 0*s - 1/20*s**5 + 1/8*s**4 + 7/2*s**2. Let h(a) be the second derivative of r(a). Factor h(y).
-3*y*(y - 1)
Let j(n) = n**2 - 6*n + 4. Let v(d) be the first derivative of -2*d**3 + 15*d**2 - 21*d - 4. Let r(u) = -21*j(u) - 4*v(u). Factor r(t).
3*t*(t + 2)
Let a(z) = 2*z**4 + 2*z**3 - 4*z**2 - 6. Let m(d) = -d**3 + d**2 + 1. Let r = 12 + -10. Suppose 1 = -x + r. Let i(v) = x*a(v) + 6*m(v). Factor i(h).
2*h**2*(h - 1)**2
Let i(q) = 6*q**4 + 19*q**3 + 85*q**2 - 100*q - 5. Let l(v) = -5*v**4 - 19*v**3 - 84*v**2 + 100*v + 4. Let j(z) = -4*i(z) - 5*l(z). Suppose j(p) = 0. What is p?
-10, 0, 1
Let f(x) be the third derivative of 0*x + 0 - 29*x**2 + 2/27*x**3 + 1/540*x**5 + 1/54*x**4. Suppose f(q) = 0. What is q?
-2
Let f(y) be the third derivative of y**7/70 - 3*y**6/8 + 23*y**5/10 + 12*y**4 - 64*y**3 + 84*y**2. Factor f(d).
3*(d - 8)**2*(d - 1)*(d + 2)
Let a(h) be the first derivative of 3*h**5/20 - 3*h**4/8 - h**3/4 + 3*h**2/4 - 1. Determine z so that a(z) = 0.
-1, 0, 1, 2
Find n such that -3*n - 185*n + 8836 - 15481*n**2 + 15482*n**2 = 0.
94
Let r = -16 + 21. Suppose 2*v - 4*v = 4*m - 12, -2*m - 5*v = -14. Find p such that r*p**4 - 2*p**4 + m*p**3 + 2*p**4 = 0.
-2/5, 0
Let x(u) be the second derivative of u**5/80 - 25*u**4/48 + 7*u**3 - 18*u**2 - 2*u - 1. Suppose x(w) = 0. What is w?
1, 12
Determine d so that -2895*d**4 + d**3 + 2879*d**4 - 17*d**3 - 74*d**2 + 210*d**2 - 218*d + 38*d + 4*d**5 + 72 = 0.
-3, 1, 2, 3
Let 7*h**3 - 2*h**3 - 150*h**2 + 3824 - 315*h - 3984 = 0. Calculate h.
-1, 32
Let x(r) = 153*r - 6424. Let z be x(42). Determine u so that z + 3/2*u**3 + 0*u - 7/2*u**2 = 0.
-2/3, 1, 2
Let -3/4*m**4 + 0 - 9/2*m**3 - 9/2*m - 33/4*m**2 = 0. Calculate m.
-3, -2, -1, 0
Let a(l) be the second derivative of -l**5/15 + 8*l**3/9 + 5*l - 8. Factor a(w).
-4*w*(w - 2)*(w + 2)/3
Let y(i) be the first derivative of i**3/6 - 35*i**2/4 - 275. Suppose y(z) = 0. What is z?
0, 35
Let f = 86 - 83. Suppose f*a + 2*a - 2*a = 0. Find l, given that -4/3*l**4 - 2/3*l**5 + a + 2/3*l**3 + 4/3*l**2 + 0*l = 0.
-2, -1, 0, 1
Let m(x) be the first derivative of -x**4/4 + 13*x**3 - 507*x**2/2 + 2197*x + 274. Solve m(b) = 0 for b.
13
Let i = 2530344/65 + -38927. Let p = i - -3/13. Suppose -30*a**2 - 12*a - 25*a**3 - p = 0. Calculate a.
-2/5
Let u(m) = m**2 + 5*m + 5. Let g be u(-5). Factor l**4 - g*l**5 + 3*l**5 - l + 2 - 7*l**2 + 7*l**3 - 3*l**2 + 3*l**2.
-(l - 1)**3*(l + 2)*(2*l + 1)
Let n(u) be the second derivative of -91*u**4/3 - 80*u**3/3 - 8*u**2 - 125*u. Suppose n(k) = 0. Calculate k.
-2/7, -2/13
Let q(x) be the first derivative of 12 + 0*x**3 + 0*x + 1/18*x**4 - 4/9*x**2. Let q(l) = 0. Calculate l.
-2, 0, 2
Let j(o) = o**3 + o + 1. Suppose 2*r - 6 = -4*p, 5*r - 3 = -3*p + 5. Let b(l) = -10*l**3 - 21*l**2 - 11*l - 6. Let g(s) = p*b(s) + 6*j(s). Factor g(m).
-m*(m + 5)*(4*m + 1)
Let a(d) be the third derivative of -d**7/6720 + d**6/640 - d**5/160 - 3*d**4/8 + 5*d**2. Let u(l) be the second derivative of a(l). Solve u(w) = 0 for w.
1, 2
Find q such that 51*q**3 - 65*q**2 + 276*q - 331*q + 5*q**4 - 28*q**3 + 60 + 32*q**3 = 0.
-12, -1, 1
Let y(k) be the third derivative of -k**6/480 + k**5/40 - 5*k**4/96 + 4*k**2 + 12. Determine f, given that y(f) = 0.
0, 1, 5
Let v(q) be the third derivative of 0*q**4 + 0*q + 2*q**2 + 0*q**3 + 0*q**6 + 0 + 1/2520*q**8 - 1/1575*q**7 + 0*q**5. Find m such that v(m) = 0.
0, 1
Let w(a) be the third derivative of a**6/160 - a**5/10 + 13*a**4/32 - 3*a**3/4 - 203*a**2. Factor w(x).
3*(x - 6)*(x - 1)**2/4
Let a = 33848/9 + -3760. Let x = -246 + 2218/9. Factor 0*y - a*y**2 + 0 - x*y**3.
-4*y**2*(y + 2)/9
Let l be (0 + -10*1)/(-2). Suppose 5*r - 3*v - 16 = 0, -r + 5*r + l*v + 2 = 0. Find p, given that -5*p + 1 - p - 2*p**3 - p**2 - 3 - 5*p**r = 0.
-1
Let 1/7*v**5 + 