 such that o(u) = 0.
-5, 0, 1
Let r = -71 + 93. Let o be 4 + -2 - 40/r. Solve o*k**3 + 0 + 4/11*k**2 + 2/11*k = 0.
-1, 0
Let g(q) be the third derivative of -q**6/30 - 13*q**5/15 - 23*q**4/6 - 22*q**3/3 + q**2 - 98. Factor g(u).
-4*(u + 1)**2*(u + 11)
Factor 25/6 + 1/6*a**2 - 5/3*a.
(a - 5)**2/6
Let l be 9/(-3) - (-4 - -1). Let w be 5 + 9/(-3) + l. Factor 2*s + 8*s**2 - 10*s**w + 0*s.
-2*s*(s - 1)
Solve -165*o**2 - 10*o - 43*o**3 - 160*o**3 - 145*o**4 - 97*o**3 = 0.
-1, -2/29, 0
Suppose -4*s - 5*c = -74 + 19, 3*s = -5*c + 45. Let a be (2/s)/((-36)/(-30)). Factor -1/6*r**4 + 0 + 1/6*r**3 + 0*r + 1/6*r**2 - a*r**5.
-r**2*(r - 1)*(r + 1)**2/6
Let h(g) be the third derivative of g**7/70 + 3*g**6/40 + g**5/10 - 218*g**2 + 2. What is l in h(l) = 0?
-2, -1, 0
Let z = 21 + -13. Suppose -9*t**2 - z*t + 19*t**4 + 12*t**5 + 13*t**3 - 11*t**2 + 2*t**2 - 17*t**3 - 1 = 0. Calculate t.
-1, -1/3, -1/4, 1
Let n(g) be the second derivative of g**6/30 + g**5/3 + 2*g**4/3 - 43*g**2/2 - 40*g. Let u(i) be the first derivative of n(i). Determine j, given that u(j) = 0.
-4, -1, 0
Determine b so that -69*b**2 - 65*b - 6221 - 5946 + 642*b + 1010*b + 0*b**3 + b**3 = 0.
23
Let x = 21 + -16. Solve -24*b**3 + 170*b**5 + 8*b**4 + 6 - 23*b + 18*b**2 + 16*b**2 - 171*b**x = 0 for b.
1, 2, 3
Let i(v) be the second derivative of -v**4/72 + 5*v**3/9 - 25*v**2/4 - 539*v. Let i(c) = 0. What is c?
5, 15
Let y(v) be the third derivative of -1/180*v**5 + 0 + 1/24*v**4 + 2/9*v**3 + 20*v**2 + 0*v. Solve y(b) = 0 for b.
-1, 4
Let q(l) = l**2 + 0*l**2 + 11*l - 19*l + 3*l - 8. Let n(u) = u**2 + u - 1. Let o(a) = 2*n(a) - q(a). Find h such that o(h) = 0.
-6, -1
Let i(b) be the first derivative of -18*b**3/11 - 2*b**2/11 - 102. Find u such that i(u) = 0.
-2/27, 0
Let o(a) = 2*a**4 + 11*a**3 + a**2 + a - 6. Let x(t) = -4*t**4 - 32*t**3 - 2*t**2 - 4*t + 20. Let d(m) = -10*o(m) - 3*x(m). Let d(l) = 0. Calculate l.
-1, 0, 1/4
Let g(y) = y - 12 + 8*y**3 - 13*y**2 + 27 - 9*y**3. Let a be g(-13). Suppose 0 + 0*j + 3/4*j**3 - 3/4*j**a = 0. Calculate j.
0, 1
Factor 42/5 + 1/5*w**2 - 23/5*w.
(w - 21)*(w - 2)/5
Let v(w) be the third derivative of -w**6/24 - 5*w**5/6 - 85*w**4/24 - 20*w**3/3 + 5*w**2 - 18*w. Solve v(q) = 0 for q.
-8, -1
Let b(s) be the third derivative of 1/6*s**6 + 8/105*s**7 + 0*s + 0*s**4 + 1/84*s**8 + 0 + 0*s**3 + 2/15*s**5 - 8*s**2. Factor b(q).
4*q**2*(q + 1)**2*(q + 2)
Let i(n) be the first derivative of n**4/16 - 55*n**3/12 + 91*n**2 + 196*n + 550. Factor i(b).
(b - 28)**2*(b + 1)/4
Let w(s) = -4*s**2 - 4*s - 4. Let d be w(-2). Let r be d/(-10) - (-3)/(9/6). Solve 56/5*j - 8/5*j**5 - 38/5*j**3 + 38/5*j**4 + r - 44/5*j**2 = 0 for j.
-1, -1/4, 2
Let u = -115748/5 + 23154. Solve -u*r**2 - 18/5*r + 4/5 = 0 for r.
-1, 2/11
Let t(x) be the first derivative of -35 - 1/3*x**4 - 8/9*x**3 + 8/3*x + 2/3*x**2. Factor t(m).
-4*(m - 1)*(m + 1)*(m + 2)/3
Let h(z) be the first derivative of z**5/90 + 2*z**4/27 + 5*z**3/27 + 2*z**2/9 + 8*z - 10. Let g(b) be the first derivative of h(b). Factor g(m).
2*(m + 1)**2*(m + 2)/9
Let j(v) be the third derivative of v**5/10 + 89*v**4/18 - 40*v**3/9 + 430*v**2. Factor j(w).
2*(w + 20)*(9*w - 2)/3
Let n(w) be the second derivative of w**3/6 + 7*w**2 + 7*w. Let b be n(-12). Factor 4 - 5*h**b - 2*h - 3/2*h**3.
-(h + 2)**2*(3*h - 2)/2
Let d(t) = 25*t**2 + 205*t + 240. Let q = -37 + 72. Let h(c) = 2*c**2 + 17*c + 20. Let o(r) = q*h(r) - 3*d(r). Suppose o(z) = 0. What is z?
-2
Let 22/15*c**4 + 38/15*c - 6/5 - 4/15*c**2 - 2/15*c**5 - 12/5*c**3 = 0. Calculate c.
-1, 1, 9
Let a(f) be the second derivative of 0*f**2 + 8*f - 3/5*f**4 + 2/5*f**3 + 5/14*f**7 - 33/100*f**5 + 0 + 3/5*f**6. Factor a(q).
3*q*(q + 1)**2*(5*q - 2)**2/5
Let y = 52 + -36. Suppose 2*u + w - 9 = 0, 0 = 4*w - 6 - 6. Factor -y*m + 8/3 + 98/3*m**u + 14*m**2.
2*(m + 1)*(7*m - 2)**2/3
Let s(m) be the second derivative of 0 - 1/27*m**3 + 1/189*m**7 + 1/27*m**4 + 0*m**5 - 2/135*m**6 + 0*m**2 + 48*m. Factor s(k).
2*k*(k - 1)**3*(k + 1)/9
Let s(d) be the first derivative of 0*d - 29 + 4/7*d**3 - 1/7*d**4 + 0*d**2. What is o in s(o) = 0?
0, 3
Let u(n) be the third derivative of 1/168*n**8 - 3*n**2 - 8/15*n**5 - 2/3*n**3 + 3/4*n**4 + 7/30*n**6 - 2/35*n**7 + 0 + 0*n. Factor u(o).
2*(o - 2)*(o - 1)**4
Suppose -36*y + 40*y = 8. Let p be (6/(-8)*6/(-9))/y. Determine z, given that 0 - 1/2*z**3 + 1/4*z**2 + 0*z + p*z**4 = 0.
0, 1
Suppose 0 = 2*i - 1 - 49. Factor 5*a - 17 + 0*a - i*a**2 - 5*a**3 + 42.
-5*(a - 1)*(a + 1)*(a + 5)
Let d(c) be the second derivative of 1/20*c**4 + 0*c**2 - 3/10*c**3 - 18*c + 0. What is l in d(l) = 0?
0, 3
Factor -18*i**2 + 134/7*i - 8/7.
-2*(i - 1)*(63*i - 4)/7
Let h(y) be the third derivative of y**6/150 - 28*y**5/75 + 53*y**4/30 - 52*y**3/15 - 116*y**2. Factor h(a).
4*(a - 26)*(a - 1)**2/5
Let k(n) be the second derivative of n**6/20 + 3*n**5/40 - 32*n. Solve k(q) = 0 for q.
-1, 0
Let l = 2/27 - -7/27. Let t(j) be the first derivative of -j**2 - 4 - j - l*j**3. Determine f so that t(f) = 0.
-1
Let u(v) = -5*v**3 - 7*v**2 - 2*v + 6. Let m(c) = -6*c**2 + 0*c**2 - 2*c + 150 - 4*c**3 - 145. Let w(j) = 6*m(j) - 5*u(j). Suppose w(r) = 0. What is r?
-1, 0, 2
Let x be 8/(-32)*-4*3. Let -7*g**4 - 5*g**x + 0*g**5 + 0*g**5 - 3*g**5 - g**2 = 0. What is g?
-1, -1/3, 0
Let r(v) = 8*v**2 - 30*v - 42. Let f(g) = 9*g**2 - 29*g - 39. Let b(h) = 4*f(h) - 3*r(h). Factor b(o).
2*(o - 3)*(6*o + 5)
Let b(a) be the first derivative of -a**4/12 + a**3/3 - a**2/2 + 30*a - 16. Let s(p) be the first derivative of b(p). Determine y so that s(y) = 0.
1
Suppose -x + 4 = -0. Let a be (-11 + x)/(-7) - (-10)/(-12). Factor 0 + 1/6*s**2 + a*s.
s*(s + 1)/6
Let b = 119 - 117. Let s(r) be the first derivative of 1/3*r**3 - 1/5*r**5 - 1/6*r**6 + 0*r - 10 + 0*r**b + 1/4*r**4. Factor s(z).
-z**2*(z - 1)*(z + 1)**2
Let f(y) = -y**3 + y**2 + 3*y - 1. Let i(o) = o**4 + 12*o**3 - 22*o**2 - 30*o + 13. Let v(z) = 26*f(z) + 2*i(z). Factor v(m).
2*m*(m - 3)*(m - 1)*(m + 3)
Let n(p) be the second derivative of -p**6/60 + 3*p**5/20 - 13*p**4/24 + p**3 - p**2 - 2*p + 55. Factor n(i).
-(i - 2)**2*(i - 1)**2/2
Factor 20/3*t**2 - 8*t**5 + 0*t + 16/3*t**3 - 28/3*t**4 + 0.
-4*t**2*(t + 1)**2*(6*t - 5)/3
Suppose 8*v - 20 = -2*v. Let d(q) be the first derivative of 0*q**2 - 3*q + 2*q**3 - 3/5*q**5 + 0*q**4 + v. Factor d(m).
-3*(m - 1)**2*(m + 1)**2
Let q be 207/(-2898)*28*-1. Determine r so that -1/3*r**3 + 0*r + 1/6*r**q + 1/6*r**4 + 0 = 0.
0, 1
Let f = -177 - -322. Let q = f + -289/2. Factor 1/4*l**3 - 3/4*l**2 + 1/4*l**4 + q - 1/4*l.
(l - 1)**2*(l + 1)*(l + 2)/4
Let w = 447 - 445. Let l(v) be the second derivative of 4/13*v**3 + 0 + 2*v + 5/78*v**4 + 4/13*v**w. Factor l(u).
2*(u + 2)*(5*u + 2)/13
Let s(q) be the second derivative of -1/4*q**3 - 3/40*q**5 + q + 0 + 0*q**2 - 1/4*q**4. Let s(j) = 0. What is j?
-1, 0
Let w(j) be the third derivative of -4*j**2 + 1/2*j**3 + 3/100*j**5 - 1/200*j**6 + 0*j + 0 + 9/40*j**4. Factor w(z).
-3*(z - 5)*(z + 1)**2/5
Factor 1/8*n**3 + 0 + 0*n - 1/4*n**2.
n**2*(n - 2)/8
Let t(d) = 2*d**4 + 42*d**3 - 51*d**2 - 250*d - 159. Let c(g) = 3*g**4 + 42*g**3 - 51*g**2 - 252*g - 162. Let z(p) = 5*c(p) - 6*t(p). Factor z(l).
3*(l - 12)*(l - 4)*(l + 1)**2
Let n(b) be the second derivative of b**4/78 + 172*b**3/39 + 7396*b**2/13 - 281*b. Determine f, given that n(f) = 0.
-86
Let l(k) = k**4 - k**3 - 3*k - 1. Let c(p) = -2*p**4 + 255*p**3 + 329*p**2 + 97*p + 5. Let j(y) = c(y) + 5*l(y). Solve j(u) = 0.
-82, -1, -1/3, 0
Suppose 109*m + 3 = 108*m + 6. Factor -9*v**m - 6*v - 3/2 + 33/2*v**2.
-3*(v - 1)**2*(6*v + 1)/2
Let g = -608 - -608. Let d(c) be the third derivative of -3*c**2 + 0*c**3 + 0 + 0*c**4 + 1/1050*c**7 + g*c + 0*c**6 + 0*c**5. Factor d(y).
y**4/5
Suppose 9 - 19 = 2*c. Let n be (-1)/6 + c*(-52)/120. Factor j + 2/3 + 1/3*j**n.
(j + 1)*(j + 2)/3
Let n(j) be the second derivative of 0*j**2 - 36*j + 1/45*j**6 + 1/6*j**5 + 4/9*j**4 + 0 + 4/9*j**3. Factor n(h).
2*h*(h + 1)*(h + 2)**2/3
Let q = -17889/2 - -8948. Find s, given that q*s**3 + 0*s - s**2 + 0 = 0.
0, 2/7
Let p(h) be the first derivative of h**8/84 + 2*h**7/35 + h**6/10 + h**5/15 + 7*h**2/2 + 1. Let l(k) be the second derivative of p(k). Factor l(y).
4*y**2*(y + 1)**3
Let q = 69 - 59. Let f be (-1)/(-78) + q/65. Factor -f*i**4 + 1/3*i**3 - 1/3*i + 1