t o = v + -30/17. Factor -1/4*w**2 + 0 - 1/2*w + o*w**3.
w*(w - 2)*(w + 1)/4
Let g(b) = 39*b**2 + 181*b - 34. Let s(i) = 78*i**2 + 360*i - 69. Let j be ((-2)/(-9))/(9/162). Let l(z) = j*s(z) - 9*g(z). Factor l(q).
-3*(q + 5)*(13*q - 2)
Let w be (-5187)/(-4998) + (-2)/(-4). Let t = w - -3/17. Factor 2/7*v**5 + 6/7*v - 20/7*v**2 + 0 + 24/7*v**3 - t*v**4.
2*v*(v - 3)*(v - 1)**3/7
Suppose 4*h + 1 = 4*u - 7, 0 = -4*h + 2*u. Suppose -h*m - 3*v + 12 = 0, 16 = -m - m + 4*v. Let -116*s**2 + 0 + m + 9*s + 113*s**2 - 6 = 0. What is s?
1, 2
Determine y, given that -2/13*y**2 + 18/13*y - 36/13 = 0.
3, 6
Suppose 2*o - 5*o - 3*l - 3 = 0, -2*o + 4*l = -28. Let s be 30/1680*64*(-56)/(-80). Let o*q**2 - s*q + 0 = 0. Calculate q.
0, 1/5
Let p(z) be the second derivative of 0*z**2 + 0*z**4 + 0 + 1/21*z**7 - 37*z + 0*z**3 + 4/15*z**6 + 2/5*z**5. Factor p(j).
2*j**3*(j + 2)**2
Let c(r) be the second derivative of -r**6/135 - 16*r**5/45 - 71*r**4/27 + 608*r**3/9 - 361*r**2 + 3*r - 470. Suppose c(d) = 0. Calculate d.
-19, 3
Let k(b) be the second derivative of -b**6/10 - 9*b**5/5 + b**4/4 + 6*b**3 - 1489*b. Factor k(w).
-3*w*(w - 1)*(w + 1)*(w + 12)
Suppose 4/3*u**4 + 236/9*u**3 - 512/9 - 416/9*u + 680/9*u**2 = 0. Calculate u.
-16, -4, -2/3, 1
Let z be 1/3 + (-488)/(-183). Factor 27 - 30*d - 15*d + 3 + 8*d**2 + 10*d - z*d**2.
5*(d - 6)*(d - 1)
Suppose 218*t**4 + 10088*t**3 + 13221*t**3 + 463960*t**2 + 2979200*t - 6913*t**3 + 5488000 + t**5 = 0. Calculate t.
-70, -4
Let a(z) be the second derivative of -z**6/320 + 3*z**5/80 + 9*z**4/16 - 27*z**3/2 + 72*z**2 + 2*z + 83. Let v(c) be the first derivative of a(c). Factor v(h).
-3*(h - 6)**2*(h + 6)/8
Factor -3/5*k**3 + 162*k**2 + 813/5*k + 0.
-3*k*(k - 271)*(k + 1)/5
Let b(z) = 21*z**3 + z**2. Let u be b(-1). Let a = u - -30. Solve -5*g**3 - 14*g + 10 - 3*g - a*g + 2*g + 20*g**2 = 0 for g.
1, 2
Let h = 2122 - 2112. Let q(c) be the third derivative of h*c**2 + 1/10*c**3 + 0*c - 17/120*c**4 + 0 + 7/100*c**5 + 3/200*c**6. Let q(d) = 0. Calculate d.
-3, 1/3
Let u be 2 + -9 - ((38471/68)/(-31) - -11). Solve -5/4*h**4 + h**5 + 5/4*h**2 - u*h + 0 - 3/4*h**3 = 0 for h.
-1, 0, 1/4, 1
Let g(n) = 5*n**2 - 24*n + 1. Let t be g(-3). Suppose -42 = -t*d + 97*d. Factor -1/3*k + 0 + 1/3*k**d.
k*(k - 1)/3
Suppose 17/4*c + 1/4*c**2 + 15/2 = 0. What is c?
-15, -2
Let l(v) be the third derivative of -8*v**3 + 0 - 23/12*v**4 + 0*v + 1/30*v**5 + 12*v**2. Factor l(r).
2*(r - 24)*(r + 1)
Let z(i) be the first derivative of -i**6/72 - 2*i**5/3 + 125*i**4/72 + 59*i**2 + 62. Let p(r) be the second derivative of z(r). Find x such that p(x) = 0.
-25, 0, 1
Let z be 36/(-7)*(-189)/18. Factor z*g**2 + 16 - 15*g**2 - 44*g**3 + 96*g - 3*g**2.
-4*(g - 2)*(g + 1)*(11*g + 2)
Let c be (-442)/(-65) - (-12)/10. What is m in 105 + 105 + c*m - 20*m**2 - 198 - 16*m**3 = 0?
-1, 3/4
Let y be -6 - (-3)/(-54)*-113. Let b(t) be the first derivative of -8 + 5/3*t + 5/12*t**2 - y*t**3. Factor b(s).
-5*(s - 2)*(s + 1)/6
Solve 18*k**3 + 10*k**3 - 860 - 285*k**2 + 13*k**3 + 872 + 232*k = 0 for k.
-2/41, 1, 6
Let z(r) = 2*r**2 - 111*r - 667. Let a be z(61). What is o in 3/4*o**2 + 1/4*o**a + 0 + 3/4*o**3 + 1/4*o = 0?
-1, 0
Let d be -5 + 6/((-52)/(-6) + -8). Let q(v) be the first derivative of 12/5*v**5 + 9/2*v**4 + 1/2*v**6 + 3/2*v**2 + 0*v + d*v**3 + 9. What is n in q(n) = 0?
-1, 0
Let j = 4193811 + -188729656/45. Let u = j - -1724/9. Factor -54*k**2 - 324/5*k - 3/5*k**4 + 648/5 - u*k**3.
-3*(k - 1)*(k + 6)**3/5
Let g(k) be the first derivative of 21 - 15/2*k**2 + 9*k + 7/3*k**3 - 1/4*k**4. Let g(r) = 0. Calculate r.
1, 3
Solve -4 - 412*u**2 - 32*u**3 - 459*u**2 - 58*u + 965*u**2 = 0 for u.
-1/16, 1, 2
Find r, given that -32/7 - 6/7*r**4 + 88/7*r - 88/7*r**2 + 38/7*r**3 = 0.
1, 4/3, 2
Let k be ((-32)/240)/(11 - 936/84). Suppose 2*x - 12 = -x. Factor -2/15*a**x - k*a**2 - 2/3*a**3 + 0 - 2/5*a.
-2*a*(a + 1)**2*(a + 3)/15
Let y(a) be the third derivative of -2*a**7/105 + 44*a**6/15 + 6*a**5 - 44*a**4/3 - 178*a**3/3 + 3914*a**2. Factor y(r).
-4*(r - 89)*(r - 1)*(r + 1)**2
Suppose 0 = -2*t + 4, 3*t = -2*z + 4*z. Suppose 0 = -d - 1, -2*d - 41 + 49 = 5*x. Suppose 2*o**z - o + 3*o**3 - 6*o**2 - 3*o - x*o**2 = 0. What is o?
-2/5, 0, 2
Suppose 8*l = 4*l - 4*j + 16, -l + 1 = -2*j. Find y, given that -4*y**3 - 4*y**5 + 14*y**3 + 68*y**2 + 10*y + 50*y**l + 12*y**4 + 14*y = 0.
-1, 0, 6
Let a(h) = 4*h**4 - 86*h**3 - 76*h**2 + 136*h + 22. Let k(v) = v**4 - 22*v**3 - 19*v**2 + 34*v + 6. Let q(b) = 3*a(b) - 11*k(b). Find o such that q(o) = 0.
-2, 0, 1, 17
Let i(h) be the first derivative of -4*h**4/21 - 26*h**3/63 - 2*h**2/21 + 2*h/7 - 479. Let i(t) = 0. Calculate t.
-1, 3/8
Let m(g) be the first derivative of -g**4/8 - 9*g**3/2 - 24*g**2 - 46*g + 1308. Determine q so that m(q) = 0.
-23, -2
Suppose -6*b + 1193 = -991. Let j = b - 725/2. Factor 3 + j*z - 3/2*z**2.
-3*(z - 2)*(z + 1)/2
Let p(x) be the third derivative of -x**7/18900 + x**6/600 + x**5/90 - 37*x**4/8 + 2*x**2 - 2. Let v(u) be the second derivative of p(u). Factor v(z).
-2*(z - 10)*(z + 1)/15
Solve 4 - 85 - 102*j - 47*j**2 + 3*j**3 + 62*j**2 - 159 = 0.
-8, -2, 5
Suppose 2*z + 13*z - 30 = 0. Let v be 5 + -1 - (-1 + -25). Suppose -30*d + 12*d - v*d + 144 + 4*d**z = 0. What is d?
6
Factor -6*a - 4*a**3 + 2*a**2 + 31*a - 90*a**2 - 1568 - 656*a - 13*a.
-4*(a + 7)**2*(a + 8)
Let o be (-48)/9*39/(-26). Let h = -8 + 12. Factor -3*x**3 - x**3 - 8*x**4 - o*x**h + 8*x**3.
-4*x**3*(4*x - 1)
Let a(k) = -11*k**3 + 61*k**2 + 220*k + 172. Let c(m) = -7*m**3 + 62*m**2 + 220*m + 169. Let r(g) = 3*a(g) - 4*c(g). Factor r(x).
-5*(x + 1)*(x + 4)*(x + 8)
Suppose 2*p - 4*j - 598 = 0, -8*p + 5*j + 1485 = -3*p. Let f be (-1)/4 + (-26)/(-8). Suppose -2*m**3 - p*m - 45 - 3*m**f - 35*m**2 + 220*m = 0. What is m?
-3, -1
Let z(s) = 9*s**3 - 7*s**2 - 14*s - 19. Let p(t) = -7*t + 22 - 4*t**2 + 5*t**3 - 43 + 11. Let u(m) = -7*p(m) + 4*z(m). Suppose u(i) = 0. What is i?
-2, -1, 3
Factor -2/9*k**4 - 16/9*k**3 - 4/3*k - 26/9*k**2 + 0.
-2*k*(k + 1)**2*(k + 6)/9
Let t = 32 - 30. Factor -48*q - 20 - 7*q**3 + 8*q - q**3 - 25*q**t + 3*q**3.
-5*(q + 1)*(q + 2)**2
Let t(h) be the first derivative of 22*h + 5 - 1/3*h**4 + 8*h**2 - 2*h**3. Let d(o) be the first derivative of t(o). Find r such that d(r) = 0.
-4, 1
Let o(y) = 93*y**2 + 276*y - 7. Let f be o(-3). Let n = -4/203 + 2066/1827. Let -n*i**f - 4/3*i - 2/9*i**3 + 0 = 0. What is i?
-3, -2, 0
Let d(h) be the third derivative of 11*h**6/360 + h**5/180 + 125*h**3/6 + 55*h**2. Let f(v) be the first derivative of d(v). Factor f(t).
t*(33*t + 2)/3
Let i(x) be the second derivative of -7*x**3/3 - 263*x**2/2 - 226*x. Let y be i(-19). Solve -1 + 17/4*j**2 + 43/2*j**y + 5*j**5 - 4*j + 77/4*j**4 = 0.
-2, -1, -1/4, 2/5
Let l be 1254/(-1463)*42/(-12). Let 20/7*v**l - 1/7*v**2 + 4*v**4 + 0 - 2/7*v = 0. Calculate v.
-1/2, 0, 2/7
Let u(k) = 13*k**2 - k - 10. Let f(p) = -p**3 + 2*p**2 + 1. Let l = -153 - -152. Let z(g) = l*u(g) + f(g). Factor z(x).
-(x - 1)*(x + 1)*(x + 11)
Let x(b) be the first derivative of 868*b**3/15 - 438*b**2/5 + 8*b/5 + 1543. Factor x(y).
4*(y - 1)*(217*y - 2)/5
Let v = 496 - 484. Factor 156*p**5 - p + v*p**2 - 48*p**5 + 216*p**4 + 20*p**2 + p + 144*p**3.
4*p**2*(3*p + 2)**3
Let 503/4*v**2 - 199*v + 99 + 1/4*v**4 - 26*v**3 = 0. Calculate v.
1, 2, 99
Let v(r) = 11*r**3 + 2473*r**2 + 305036*r - 3. Let u(t) = -35*t**3 - 7420*t**2 - 915105*t + 10. Let h(f) = -3*u(f) - 10*v(f). Find c, given that h(c) = 0.
-247, 0
Let i be ((-8)/20)/((-4)/20). Let c(b) be the second derivative of 0*b**3 - 1/4*b**i + 8*b + 0*b**5 - 1/60*b**6 + 0 + 1/12*b**4. Factor c(w).
-(w - 1)**2*(w + 1)**2/2
Let c = 21692/5 + -4338. Factor -52/5*m + 338/5 + c*m**2.
2*(m - 13)**2/5
Suppose 17*c - 1246 + 1031 = 1621. Find u such that -1/3*u**2 - 12*u - c = 0.
-18
Let u(m) = -m**2 + 10*m - 19. Let h be u(6). Factor -36125*k**4 + 8976*k**2 + 1849*k + 24565*k**h + 176*k + 135 + 459*k**3 + 391*k**3 - 426*k**2.
5*(k - 1)**2*(17*k + 3)**3
What is z in -4/5*z**3 + 0*z - 8*z**2 + 196/5*z**4 + 32*z**5 + 0 = 0?
-1, -5/8, 0, 2/5
Factor 378/17 - 26/17*u**2 + 30/17*u + 2/17*u**3.
2*(u - 9)*(u - 7)*(u + 3)/17
Let w = -126/59 - -3006/413. Solve 12/7*s**5 - w*s**3 + 4/7*s**4 - 36/7*s**2 - 8/7*s + 0 = 0.
-1, -1/3, 0, 2
Let n = -1808/3 + 621. Let i = 5/62257 - -