 is g in -10*g**2 - 7*g**3 + 6*g**2 + a*g**5 + 2*g**4 + 3*g**3 - 3 + 5 + 2*g = 0?
-1, 1
Let l = 9 - -12. Suppose -3*i + l = 4*c, 4*c + 12 = 5*i + 3*c. Factor 5/6*q**4 + 4/3*q**i + 0 + 0*q - 2/3*q**2.
q**2*(q + 2)*(5*q - 2)/6
Let y(x) be the first derivative of 10 + 0*x - x**3 + 3/2*x**2. Solve y(s) = 0.
0, 1
Let w(r) be the third derivative of -r**5/80 + 13*r**4/48 + 3*r**3/8 + r**2 - 7*r. Factor w(z).
-(z - 9)*(3*z + 1)/4
Suppose -83*o = -7*o + 39*o - 460. Factor o*y**2 + 0*y - 16/3 + 4/3*y**3.
4*(y - 1)*(y + 2)**2/3
Let k(g) be the first derivative of -g**6/48 - g**5/40 + 11*g**4/32 + 29*g**3/24 + 13*g**2/8 + g + 1. Factor k(b).
-(b - 4)*(b + 1)**3*(b + 2)/8
Let w be -3 + 8 + (-1)/3*(14 - 3). Suppose w*c**2 + 0 - 2/3*c - 2/3*c**3 = 0. What is c?
0, 1
Let o(w) be the second derivative of w**6/30 + w**5/10 - w**4/4 - 2*w**3/3 + 2*w**2 - 64*w. Solve o(n) = 0 for n.
-2, 1
Factor -2/5*o**2 + 6/5*o + 0.
-2*o*(o - 3)/5
Let o be 5*(-52)/65*(-2)/4. Let g(a) be the third derivative of -a**3 - 6*a**o + 0 + 0*a - 1/90*a**5 + 1/6*a**4. Factor g(v).
-2*(v - 3)**2/3
Let u(m) be the third derivative of -m**5/330 - 2*m**4/33 + 3*m**3/11 + 2*m**2 - 10*m. Let u(p) = 0. What is p?
-9, 1
Let d(k) be the third derivative of 1/1344*k**8 + 0 + 0*k**4 + 0*k**3 + 0*k**5 + 0*k + 32*k**2 + 1/160*k**6 + 1/210*k**7. Factor d(y).
y**3*(y + 1)*(y + 3)/4
Let q(v) be the second derivative of -8*v**7/21 - 16*v**6/3 - 97*v**5/5 + 29*v**4/3 + 130*v**3/3 - 50*v**2 + 9*v - 15. What is u in q(u) = 0?
-5, -1, 1/2
Let z(s) = s**2 - 7*s + 3. Let p be z(7). Let h = 9 - p. Factor -11*m + 3 + 0*m**5 - m**4 + 5*m**5 - 4*m**5 - h*m**3 + 14*m**2.
(m - 1)**4*(m + 3)
Let p = -15343/7 + 2193. Factor 2/7*a**2 - 8/7 + 2/7*a**3 - p*a.
2*(a - 2)*(a + 1)*(a + 2)/7
Let v = -788/21 - -2476/63. Find t, given that -2/3 - 8/9*t**3 - 8/9*t**5 + v*t - 10/3*t**4 + 4*t**2 = 0.
-3, -1, 1/4, 1
Let k(y) be the third derivative of -y**8/112 - 2*y**7/35 - y**6/10 + y**5/10 + 5*y**4/8 + y**3 - 26*y**2. Factor k(u).
-3*(u - 1)*(u + 1)**3*(u + 2)
Let k(l) be the first derivative of l + 7/3*l**3 - 5/2*l**2 + 2/3*l**6 - 8/5*l**5 - 8 + 1/4*l**4. Find v, given that k(v) = 0.
-1, 1/2, 1
Factor -1/3*p**2 + 0 + 20/3*p.
-p*(p - 20)/3
Let g(n) be the third derivative of -2*n**7/525 + 16*n**5/25 - 64*n**4/15 - 17*n**2. Factor g(p).
-4*p*(p - 4)**2*(p + 8)/5
Let f(u) be the third derivative of u**5/60 + u**4/3 + 7*u**3/6 - u**2. Let g be f(-8). Factor -2 - g*m**2 + 0 + 9*m**2.
2*(m - 1)*(m + 1)
Let w be 3*7/((-210)/(-8))*1. Let c(o) be the second derivative of -21/50*o**5 - w*o**3 - o**4 + 0*o**2 + 3*o - 3/50*o**6 + 0. Factor c(t).
-3*t*(t + 2)**2*(3*t + 2)/5
Let r(t) = 10*t**2 + 155*t - 165. Let v(b) = -5*b**2 - 78*b + 83. Let g(s) = -3*r(s) - 5*v(s). Determine k so that g(k) = 0.
-16, 1
Let r = 8873 - 79849/9. Solve 142/9*i**2 + r - 4/9*i**3 + 64/9*i - 70/3*i**4 = 0 for i.
-2/5, -1/3, -2/7, 1
Let 4/9*z**2 - 16/9 + 2/9*z**3 - 8/9*z = 0. Calculate z.
-2, 2
Let i(n) be the second derivative of n**8/504 - n**6/45 - n**5/45 + n**4/12 + 2*n**3/9 - 5*n**2 - 27*n. Let l(x) be the first derivative of i(x). Factor l(r).
2*(r - 2)*(r - 1)*(r + 1)**3/3
Solve 5/3 + 2*v + 1/3*v**2 = 0.
-5, -1
Let a(j) = 48*j**3 - 544*j**2 + 123*j - 6. Let k(u) = 47*u**3 - 546*u**2 + 122*u - 4. Let x(w) = 2*a(w) - 3*k(w). Factor x(p).
-5*p*(p - 12)*(9*p - 2)
Let t = -174 + 169. Let y = 2 - 6. Let p(v) = -10*v**2 + 5*v. Let c(r) = -r**4 - r**3 + 10*r**2 - 4*r. Let g(b) = t*c(b) + y*p(b). Determine j so that g(j) = 0.
-2, 0, 1
Suppose 5*x - 57 + 2 = 0. Suppose 0 = 4*o + x*o - 45. Factor 0 + 0*i - 2/9*i**2 + 2/9*i**o.
2*i**2*(i - 1)/9
Let d(z) be the second derivative of -3*z**6/65 - 7*z**5/130 + z**4/39 + 45*z - 1. Factor d(j).
-2*j**2*(j + 1)*(9*j - 2)/13
Let t(d) be the third derivative of -d**7/735 - d**6/84 - 3*d**5/70 - d**4/12 - 2*d**3/21 + 106*d**2. Factor t(a).
-2*(a + 1)**3*(a + 2)/7
Factor -3 - 7/6*m + 1/6*m**2.
(m - 9)*(m + 2)/6
Let q(u) be the third derivative of -u**6/660 - 14*u**5/165 - 221*u**4/132 - 338*u**3/33 - 103*u**2 + u. Solve q(c) = 0.
-13, -2
Let x = 2021 + -2019. Factor 0 - x*o**2 - 3/2*o**3 - 1/2*o.
-o*(o + 1)*(3*o + 1)/2
Let z(n) = -n**2 + 2*n + 8. Let j be z(0). Suppose -t = t + 6, 4*p = -4*t + j. Let 2*l**2 - 5*l**2 + p*l - 20*l = 0. What is l?
-5, 0
Let q be 3 + 1*(-22)/(-6). Let s = 703 - 701. Factor -13/3*u**s + q*u**3 + 2/3*u - 3*u**4 + 0.
-u*(u - 1)**2*(9*u - 2)/3
Let r(s) be the first derivative of 3*s**5/20 - 3*s**4/4 + 5*s**3/4 - 3*s**2/4 - 135. Factor r(m).
3*m*(m - 2)*(m - 1)**2/4
Let h be 1*8/1*(-3)/(-27). Let w = 1/239 + 2381/2151. Let -4/9 - 2/9*r**3 - w*r - h*r**2 = 0. Calculate r.
-2, -1
Let u(n) = -2*n**2 - n. Let m(v) = -289*v**3 + 7167*v**2 + 1701*v + 100. Let t(x) = m(x) + 5*u(x). Factor t(w).
-(w - 25)*(17*w + 2)**2
Suppose p**2 - p**2 + 9*p - 6*p**2 + 0*p**2 = 0. What is p?
0, 3/2
Let l(d) = 3*d - 50. Let q be l(18). Find r, given that -3*r**q - 14*r**2 + 12*r**4 + 12*r - 10*r**2 + 3*r**3 = 0.
-2, 0, 2/3, 1
Let i = -11 + 19. Suppose -26 = -11*f - 2*f. Factor -34*h**2 - f + i*h + 6 + 38*h**2.
4*(h + 1)**2
Factor 1/2*v**4 + 12*v**2 + 16*v - 5*v**3 - 64.
(v - 4)**3*(v + 2)/2
Let s(z) be the second derivative of -z**5/5 + z**4 + 4*z**3 - 16*z**2 - 2*z - 13. Factor s(r).
-4*(r - 4)*(r - 1)*(r + 2)
Let q(k) = -12*k**3 + 20*k + 20. Let r(a) = 2*a**3 - a**2 - a - 1. Let i(b) = q(b) + 4*r(b). What is o in i(o) = 0?
-2, -1, 2
Let v(f) = f + 1. Let h(x) = -16*x - 18. Let b(a) = -2*h(a) - 36*v(a). Let p be b(-1). Factor -213 - p*n**2 + 213 + 7*n**2.
3*n**2
Let a(t) = t**5 - t + 1. Let m(i) = 3*i**5 + 3*i**4 - i**3 - 3*i**2 - 2*i + 2. Let u(h) = -6*a(h) + 3*m(h). Factor u(o).
3*o**2*(o - 1)*(o + 1)*(o + 3)
Let f(a) be the first derivative of 3*a**4/2 + 20*a**3/3 - 3*a**2 - 20*a - 61. Factor f(j).
2*(j - 1)*(j + 1)*(3*j + 10)
Find s, given that -8/3 - 2*s**3 + 16/9*s - 10/9*s**4 + 2/9*s**5 + 34/9*s**2 = 0.
-2, -1, 1, 6
Let u be (-386)/3*24/(-16). Factor 44*q - 4*q - 189*q**2 + 100 + u*q**2.
4*(q + 5)**2
Let w(a) be the second derivative of -a**4/78 - 4*a**3/39 - 3*a**2/13 + 9*a - 2. Let w(y) = 0. What is y?
-3, -1
Let y(q) = -15*q**2 + 9*q - 3. Suppose -8 = 5*j - 3*j. Let i(h) = -7*h**2 + 3*h + 0 - 1 + h. Let t(w) = j*y(w) + 9*i(w). Factor t(m).
-3*(m - 1)*(m + 1)
Let q(l) be the third derivative of -l**7/70 + 7*l**6/40 - 4*l**5/5 + 3*l**4/2 + 92*l**2. Let q(n) = 0. What is n?
0, 2, 3
Factor 375*i**3 - 423*i**3 - 2*i**5 + 56*i**2 + 6*i**4 + 4*i**5.
2*i**2*(i - 2)**2*(i + 7)
Determine v, given that -80/23*v + 2/23*v**2 + 78/23 = 0.
1, 39
Let p(x) = 6*x - 60. Let o be p(10). Let r(q) be the first derivative of 6/25*q**5 + 1/15*q**6 + 0*q + o*q**2 - 10 + 2/15*q**3 + 3/10*q**4. Factor r(w).
2*w**2*(w + 1)**3/5
Factor 517*f - 19*f + 12382 + 12*f**2 + 4191 + 4094 - 9*f**2.
3*(f + 83)**2
Let o(k) be the second derivative of -2*k**7/189 + 2*k**6/15 - 14*k**5/45 - 2*k**4/27 + 10*k**3/9 - 14*k**2/9 - 2*k - 23. Solve o(v) = 0 for v.
-1, 1, 7
Let d be 20 - 17 - (-21)/(-9). Factor -4/3 + d*j**2 + 2/3*j.
2*(j - 1)*(j + 2)/3
Let v(r) be the second derivative of 5*r**4/12 + 380*r**3/3 + 14440*r**2 + r + 28. Factor v(o).
5*(o + 76)**2
Let r(y) be the third derivative of -y**5/180 - 3*y**4/4 - 52*y**3/9 - y**2 + 55*y. Factor r(w).
-(w + 2)*(w + 52)/3
Let d(v) be the third derivative of -v**7/280 + 11*v**6/360 - v**5/24 - v**4/8 + 3*v**3 + 38*v**2. Let p(o) be the first derivative of d(o). Factor p(m).
-(m - 3)*(m - 1)*(3*m + 1)
Let z = 8680 - 8680. Let g = -85 - -257/3. Factor g*r**2 + 0*r + z - 7/3*r**3.
-r**2*(7*r - 2)/3
Let u be 10*(275/44 + -5). Suppose -5*t + 1/2 + 5*t**3 - u*t**4 + 12*t**2 = 0. What is t?
-1, 1/5, 1
Let h(a) be the third derivative of -a**6/780 + 8*a**5/195 - 41*a**4/156 + 2*a**3/3 - 94*a**2. Factor h(f).
-2*(f - 13)*(f - 2)*(f - 1)/13
Let w be 6/12 - ((-28)/8 + 0). Factor 0 - 4*x**3 - 4/3*x + 4/3*x**4 + w*x**2.
4*x*(x - 1)**3/3
Find z such that 2*z**2 + 8/3 - 8*z + 10/3*z**3 = 0.
-2, 2/5, 1
Factor 3*i**3 + 4*i + 4*i + 44*i + 65*i**2 + 2*i**3 + 8*i.
5*i*(i + 1)*(i + 12)
Let x(c) be the first derivative of 2/11*c**3 + 1/11*c**2 - 4/11*c - 1/22*c**4 - 3 - 2/55*c**5. Determine z, given that x(z) = 0.
-2, -1, 1
Let u(f) be the second derivative of -1/30*f**6 - 13/60*f**5 - 5/6*f**3 + 26*f - 7/12*f**4 + 0 - 2/3*f**2