 9. Let g(n) = 2*n**2 - 4*n - 10. Let f = -23 - -27. Let p(u) = f*m(u) + 6*g(u). Solve p(y) = 0 for y.
-2, 3
Let z be 562/840 - 34/51. Let l(i) be the third derivative of -1/210*i**5 + z*i**6 + 0*i**3 + 0*i + 3*i**2 + 0 + 0*i**4. Factor l(g).
2*g**2*(g - 1)/7
Let q(w) = 0 + 121*w - 119*w - 9 - 5. Let x be q(8). Determine y so that -1/2*y**5 + 0*y - 4*y**3 + 0 + 2*y**x + 5/2*y**4 = 0.
0, 1, 2
Suppose 11 - 18*k**2 - 3*k**3 + 7 + 243*k - 240*k = 0. What is k?
-6, -1, 1
What is i in 22 - 42*i + 29 + 94*i + i**2 = 0?
-51, -1
Factor 21114*z - 1360*z**2 + 5*z**3 + 15968*z + 32289*z + 23109*z.
5*z*(z - 136)**2
Let i = 5 + -9. Let v = 5 - i. Suppose a + 3*a - 5 + 2*a**3 + v - 6*a - 4*a**2 = 0. What is a?
-1, 1, 2
Let a(v) be the second derivative of -18*v + 1/10*v**5 + 0*v**4 - 2*v**2 - v**3 + 0. Let a(b) = 0. Calculate b.
-1, 2
Let i(b) be the third derivative of 49/12*b**5 + 0 + 5/6*b**3 - 3*b**2 + 35/12*b**4 + 0*b. Find l, given that i(l) = 0.
-1/7
Let r = -5243/4 - -1311. Factor -1/4*s**3 + 0*s**4 + 0*s + 0*s**2 + r*s**5 + 0.
s**3*(s - 1)*(s + 1)/4
Suppose -5*t + 90 = -0*t. Let a = 15 - t. Let h(y) = -7*y**2 - 9*y + 6. Let q(g) = -7*g**2 - 8*g + 5. Let d(s) = a*h(s) + 4*q(s). Let d(r) = 0. Calculate r.
-1, 2/7
Let j = -164 + 138. Let d be j*2/14 - -4. Let 0*o**2 + d*o**3 - 6/7*o - 4/7 = 0. Calculate o.
-1, 2
Let k(d) be the third derivative of -d**8/840 + 2*d**7/175 - d**6/75 - 3*d**5/25 + d**4/12 + 4*d**3/5 + 36*d**2. Suppose k(g) = 0. Calculate g.
-1, 1, 3, 4
Let 0 + 1/5*r**2 - 11/5*r = 0. Calculate r.
0, 11
Factor 0*f + 1/9*f**2 + 0 + 1/9*f**3.
f**2*(f + 1)/9
Let o(w) = -3*w**3 - 7*w**2 + 10*w + 14. Let z(m) = 8*m**3 + 21*m**2 - 31*m - 47. Let i(u) = -14*o(u) - 4*z(u). Find t, given that i(t) = 0.
-2, -2/5, 1
Let n(t) = -t**3 + 13*t**2 - 10*t + 16. Let i be n(12). Let j = -19 + i. Find g, given that 43 + 21*g**3 + 128*g + 4*g**4 + j + 11*g**3 + 96*g**2 = 0.
-2
Factor 12*x - 8/7 - 144/7*x**2 + 68/7*x**3.
4*(x - 1)**2*(17*x - 2)/7
Let g = -133 + 34. Let p = g - -101. Solve -12/5*w + 11/5*w**p - 4/5 + 6*w**3 - 5*w**4 = 0 for w.
-2/5, 1
Let z be (-3)/2*(-50)/15. Let h(g) be the second derivative of 1/6*g**4 - 4*g + 1/3*g**3 + 0 + 1/3*g**2 + 1/30*g**z. Factor h(v).
2*(v + 1)**3/3
Let m(i) = -50*i - 2. Let q be m(-2). Let d = q + -195/2. Suppose 3/2 - t - d*t**2 = 0. What is t?
-3, 1
Let x be (-2112)/(-168) + 8/(-14). Factor c - 2*c**2 - 3*c**2 + 2*c - 7*c**2 + x*c**3.
3*c*(2*c - 1)**2
Suppose 0*k - k - 4*j + 18 = 0, 2*k - 49 = 5*j. Let z be k + -21 + (-4)/(-6). Factor -z*o**2 + 1/3*o**3 + 3 + o.
(o - 3)**2*(o + 1)/3
Let r(p) = p**3 - 2*p**2 + 2*p - 1. Let a be r(1). Suppose 4*z = -a*z. Solve 0*o + 4/3*o**3 + z + 1/3*o**2 = 0.
-1/4, 0
Let o(g) be the third derivative of 0*g - 5/24*g**4 + 0 + 16*g**2 + 5/3*g**3 - 1/12*g**5. Factor o(x).
-5*(x - 1)*(x + 2)
Let s(y) = -8*y**2 - 33*y - 13. Suppose 0 = -3*u - 2*u - 55. Let l(a) = 41*a**2 + 165*a + 64. Let v(t) = u*s(t) - 2*l(t). Factor v(z).
3*(z + 5)*(2*z + 1)
Let r(a) be the second derivative of a**4/16 + 13*a**3/8 - 20*a + 5. Solve r(s) = 0 for s.
-13, 0
Let h = -135 - -181. Let x be (4/(-7))/(h/(-161)). Determine l, given that x*l - 1/5*l**4 - 3/5 - 12/5*l**2 + 6/5*l**3 = 0.
1, 3
Let i(p) be the second derivative of p**5/300 + p**4/40 - 2*p**3/15 + 7*p**2/2 - 16*p. Let j(x) be the first derivative of i(x). Determine k so that j(k) = 0.
-4, 1
Solve 14*q**4 + 2032/5*q**2 + 912/5*q**3 - 22/5*q**5 + 1184/5*q - 288/5 = 0.
-2, 2/11, 9
Suppose -k = -2*a + a + 19, -a + 34 = -2*k. Let j be ((-1)/3)/(k/9). Factor -2/5*h + 1/5 + j*h**2.
(h - 1)**2/5
Let o(k) be the third derivative of -k**8/6720 - k**7/210 - 11*k**5/30 - 20*k**2. Let i(v) be the third derivative of o(v). Factor i(u).
-3*u*(u + 8)
Let w(a) be the second derivative of a**5 - 2*a**3 + 21*a + 1/6*a**4 + 0*a**2 + 1/5*a**6 + 0. Find g, given that w(g) = 0.
-3, -1, 0, 2/3
Let a = 775/6 + -129. Factor 2/3*q**2 + 1/3 + 5/6*q + a*q**3.
(q + 1)**2*(q + 2)/6
Let 116 + 9*t**4 - 55*t**3 - 68*t**3 + 315*t**2 - 431*t + 134*t - 20 = 0. What is t?
1, 32/3
Let w(k) be the third derivative of -k**6/60 + 2*k**5/3 + k**4/12 - 20*k**3/3 + 79*k**2. Suppose w(r) = 0. Calculate r.
-1, 1, 20
Let c(q) be the second derivative of q**6/420 - q**5/105 - 4*q**2 + 6*q. Let w(y) be the first derivative of c(y). Let w(k) = 0. Calculate k.
0, 2
Let u(l) = 10*l**3 + 112*l**2 + 406*l + 384. Let x(c) = -29*c**3 - 336*c**2 - 1217*c - 1152. Let g(h) = 17*u(h) + 6*x(h). Factor g(v).
-4*(v + 2)**2*(v + 24)
Let y = -840 - -840. Let c = 203 - 1417/7. Factor c*k**3 - 12/7*k + y*k**2 - 8/7.
4*(k - 2)*(k + 1)**2/7
Let k(f) be the third derivative of -f**7/630 + f**6/90 - f**5/30 + 35*f**4/24 - 22*f**2. Let r(y) be the second derivative of k(y). Factor r(a).
-4*(a - 1)**2
Let t(a) be the second derivative of -13*a + 0*a**3 + 0 - 1/8*a**5 - 1/24*a**4 - 1/15*a**6 + 0*a**2. Factor t(m).
-m**2*(m + 1)*(4*m + 1)/2
Let -3/2*p - 9*p**2 + 147/8*p**4 - 63/8*p**3 + 0 = 0. What is p?
-2/7, 0, 1
Suppose -q + 8 = 2*s, -2*s - 5*q + 4 = -s. Let w be 72/15*50/s. Solve -58*b**2 - 86*b**3 - 10*b - w*b**4 - 2 - 7*b**5 + 0 - 9*b**5 - 8*b = 0.
-1, -1/2, -1/4
Let o(y) be the first derivative of 3*y**4/4 - 34*y**3 - 694. Factor o(r).
3*r**2*(r - 34)
Suppose -11*j + 14*j - 6 = 0. Suppose 2*g = 2, 1 = -j*r + 2*g + 3. Let 40*d + 4*d**r - 37*d + 3 - d**2 - 9 = 0. Calculate d.
-2, 1
Let u be (83/15 - 15/75)/(4 - -2). Suppose -2/9*f**3 - u*f**2 + 8/9 + 2/9*f = 0. What is f?
-4, -1, 1
Suppose 939*j**3 - 469*j**3 + j**2 + 3 - 471*j**3 - 3 = 0. What is j?
0, 1
Factor 5/4*u**3 + 0*u - 7/2*u**2 + 0 + 1/4*u**4.
u**2*(u - 2)*(u + 7)/4
Let h(q) be the second derivative of q**7/147 + q**6/15 + 3*q**5/35 - 9*q**4/7 - 45*q**3/7 - 81*q**2/7 - 3*q. Find g such that h(g) = 0.
-3, -1, 3
Suppose -11*i + 6*i = -100. Suppose -17*o**5 + 5*o - 20*o**4 + 22*o**3 + 8*o**3 - i*o**2 + 22*o**5 = 0. What is o?
0, 1
Let s(n) be the first derivative of -2*n**5/5 + 3*n**4 - 22*n**3/3 + 6*n**2 - 46. Determine b so that s(b) = 0.
0, 1, 2, 3
Let s(b) be the third derivative of -b**7/5040 - b**6/720 - b**5/240 + b**4/12 - b**2. Let w(g) be the second derivative of s(g). Factor w(q).
-(q + 1)**2/2
Let t = -3116 - -1674. Let y be ((-4)/14)/(t/(-147) - 10). Determine j so that -15/4*j**2 - y + 21/4*j = 0.
2/5, 1
Let m be -6 + 8/((-800)/(-610)). Let u(g) be the second derivative of -m*g**5 + 0*g**2 - 1/15*g**4 + 0*g**3 + 0 - 1/25*g**6 + 8*g. Suppose u(r) = 0. What is r?
-1, -2/3, 0
Let r(x) be the third derivative of -1/72*x**4 + 0*x**5 + 0 + 1/27*x**3 + 1/1080*x**6 + 0*x + 37*x**2. Suppose r(i) = 0. Calculate i.
-2, 1
Let r(u) be the third derivative of -125/57*u**3 - 1/38*u**5 - 1/1140*u**6 - 25/76*u**4 + 0 - 6*u**2 + 0*u. Find g such that r(g) = 0.
-5
Factor -3*j - 4*j**3 - 3*j + j**5 + 2*j**2 - 2 + 31*j - 22*j + 0*j**5.
(j - 1)**3*(j + 1)*(j + 2)
Let x be (348 - 354)*(-1)/15. Factor 2/5*f**2 + 6/5*f**3 - 6/5*f + x*f**4 - 4/5.
2*(f - 1)*(f + 1)**2*(f + 2)/5
Let w(l) be the second derivative of l**6/6 + 19*l**5/20 + 7*l**4/4 + 5*l**3/6 - l**2 - 35*l + 1. Suppose w(t) = 0. Calculate t.
-2, -1, 1/5
Let p be 13/((-780)/(-48)) - -1. Factor -p*o - 3/5*o**2 - 6/5.
-3*(o + 1)*(o + 2)/5
Let j = -1057 + 1061. Suppose 1/2*w**3 + 0 + 0*w**2 + 0*w + 1/2*w**5 + w**j = 0. Calculate w.
-1, 0
Let i(f) be the first derivative of -5*f**3/3 + 5*f**2 - 5*f - 819. Determine u, given that i(u) = 0.
1
Let h(r) be the first derivative of -r**5/15 + 5*r**4/12 - 4*r**3/9 - 301. What is v in h(v) = 0?
0, 1, 4
Let l(z) be the second derivative of -z**8/11200 - z**7/840 - z**6/300 - z**4/4 - 10*z. Let q(d) be the third derivative of l(d). Factor q(x).
-3*x*(x + 1)*(x + 4)/5
Let h = 19/40 - 9/40. Determine m so that 1/4*m**3 - 1/4*m - 1/4 + h*m**2 = 0.
-1, 1
Let p(x) be the third derivative of 7*x**6/360 + x**5/60 - 13*x**3/6 + x**2. Let g(j) be the first derivative of p(j). Solve g(b) = 0 for b.
-2/7, 0
Let y(c) = -3*c**5 - 4*c**4 - c**3 - 4*c**2 - 4*c. Let p(h) = -h**5 - h**4 - h**2 - h. Let v = 0 - 4. Let l(d) = v*p(d) + y(d). Determine a so that l(a) = 0.
-1, 0, 1
Let p(c) = -c**3 - 6*c**2 - 6*c - 1. Let n(u) = 2*u**2 - u + 1. Let f(z) = 28*n(z) + 4*p(z). Determine y, given that f(y) = 0.
1, 6
Let l(w) be the second derivative of w**4/36 + 11*w**3/9 + 121*w**2/6 - 63*w. Find f 