/132 - 3220*u**3/3 + 105800*u**2/11 + 2*u - 7939. Suppose t(r) = 0. What is r?
-92/3, 5
Let g(v) = 3*v**2 + 38*v - 1. Let u be g(-13). Let m(l) = 9*l - 74. Let h be m(u). Suppose -48 - 16*s + 29*s**2 - 59*s**2 + h*s**2 = 0. What is s?
-2, 6
Let y(j) be the first derivative of -2*j**6 - 16*j**5/5 + 25*j**4 + 184*j**3/3 - 8*j**2 - 96*j + 1577. Suppose y(b) = 0. Calculate b.
-2, -1, 2/3, 3
Let v(g) be the third derivative of 0 - 7/30*g**6 - 95*g**2 + 0*g + 1/105*g**7 + 100/3*g**3 + 23/10*g**5 - 35/3*g**4. Factor v(q).
2*(q - 5)**2*(q - 2)**2
Let i(r) be the first derivative of r**5/50 - 17*r**4/10 + 289*r**3/5 - 4913*r**2/5 - 92*r - 39. Let h(f) be the first derivative of i(f). Factor h(s).
2*(s - 17)**3/5
Suppose 0 = -850*z + 837*z + 1560. Determine y, given that -61818*y**2 - 1370 - 6 + 176 - z*y + 61815*y**2 = 0.
-20
Let s(c) be the first derivative of 1/3*c**3 + 2*c**2 - 1/4*c**4 - 4*c - 49. Find y, given that s(y) = 0.
-2, 1, 2
Find n, given that -19874/7*n**2 + 285/7*n**3 - 61632/7*n - 1/7*n**4 - 41472/7 = 0.
-2, -1, 144
Let v(d) be the second derivative of d**7/21420 - d**6/1530 - d**5/204 - 59*d**4/12 - 89*d. Let j(r) be the third derivative of v(r). Factor j(z).
2*(z - 5)*(z + 1)/17
Let o = 37 - 25. Suppose o = 4*z - 0*z. Determine n, given that -4 + 14*n**z + 4*n**2 + 2*n - 10*n**3 - 6*n = 0.
-1, 1
Suppose z + 3*b = 5, 0 = -3*z + 5*b + 1 - 0. Suppose z*f = 2*n - 64, -15 = 2*n + 5*f - 51. Factor n*i**2 + 33*i**2 + 192 - 48*i - 58*i**2.
3*(i - 8)**2
Let b(r) be the third derivative of 58*r**2 + 0*r**3 + 1/112*r**8 - 1/24*r**4 - 1/60*r**6 + 0 - 1/15*r**5 + 2/105*r**7 + 0*r. Solve b(l) = 0.
-1, -1/3, 0, 1
Let i(j) = 56*j**2 - 210*j + 120. Suppose -7*d + 8 = 4*s - 3*d, 0 = 2*s + 3*d. Let x(u) = -5*u**2 + 19*u - 11. Let t(y) = s*i(y) + 68*x(y). Solve t(m) = 0.
1, 7
Let i(r) be the third derivative of -r**7/42 - 5*r**6/4 + 133*r**5/12 - 85*r**4/4 - 18*r**2 + 31*r. Determine s so that i(s) = 0.
-34, 0, 1, 3
Suppose -3*g + 3 = -2*u, 4*g - 5 = -4*u - 1. Let l be (-1 + (3 - u))*2. What is f in 6*f - 6*f**3 - 3*f**2 - 9 + l*f**4 + f**2 + 7 = 0?
-1, 1/2, 1
Let c(h) be the second derivative of h**4/3 + 2*h**3/3 - 112*h**2 + 22*h - 5. Factor c(p).
4*(p - 7)*(p + 8)
Suppose -44 + 254 = 14*o. Let h(c) = 39*c - 581. Let w be h(o). Determine a so that -2/9*a**5 + 2/3*a - 4/9*a**3 + 8/9*a**2 + 0 - 8/9*a**w = 0.
-3, -1, 0, 1
Suppose 3*y = 3*k + 33, 4*y = -3*k + 22 + 1. Find q such that -9*q + 96 + y*q - 14*q - 3*q**2 + 3*q = 0.
-8, 4
Let y(g) = 6*g**3 - 102*g**2 + 867*g - 771. Let a = -572 + 569. Let x(i) = -i**3 + i**2 - i + 1. Let u(w) = a*x(w) - y(w). Solve u(n) = 0.
1, 16
Let r(h) = -h**2 - 108*h - 2129. Let p be r(-82). Let f(w) be the first derivative of 4/9*w**p - 17/6*w**2 + 4/3*w - 30. Find b, given that f(b) = 0.
1/4, 4
Let u be (207/(-115))/((-6)/20). Solve m**2 + 3*m**2 - 5*m + u*m**2 - 11*m**2 - 6 = 0.
-3, -2
Let z(y) be the second derivative of -y**4/6 + 883*y**3/3 + 446*y - 2. Factor z(h).
-2*h*(h - 883)
Let k(d) = d**2 - 3*d - 581. Let y be k(-23). Suppose 35 - y = 6*f. Let 3/4*p**5 - 3/4*p**f - 3/4*p**4 + 3/4*p**2 + 0*p + 0 = 0. What is p?
-1, 0, 1
Let z(r) be the first derivative of -r**4/26 + 40*r**3/3 - 517*r**2/13 + 516*r/13 + 850. Determine k, given that z(k) = 0.
1, 258
Let u(d) be the first derivative of d**7/5460 - d**6/585 - 4*d**3/3 - 3*d**2 - 59. Let m(l) be the third derivative of u(l). Factor m(p).
2*p**2*(p - 4)/13
Let c be ((-42)/14 + 1)/(1 - 2). Factor -43*n**2 - 6*n + 86*n**c - 36 - 45*n**2 - 11*n - 5*n.
-2*(n + 2)*(n + 9)
Suppose -48*m - 10 + 15 = -45*m - 19. Find q such that -4/3*q**5 - 20/3*q**3 + m*q - 8/3 - 10/3*q**2 + 6*q**4 = 0.
-1, 1/2, 1, 2
Let j = 239 + -237. What is b in -16*b - j*b**3 + 20*b**2 - 9*b - 12*b - 13*b = 0?
0, 5
Let i(d) = -58*d**3 + 104*d**2 + 76*d - 86. Let g(l) = -l**4 + 115*l**3 - 207*l**2 - 152*l + 171. Let f(m) = 6*g(m) + 11*i(m). Let f(w) = 0. What is w?
-1, 2/3, 4, 5
Factor -47/2*i**2 - 1/2*i**4 - 59/2*i - 13/2*i**3 - 12.
-(i + 1)**2*(i + 3)*(i + 8)/2
Let j be ((-2)/4)/(1683 + -1684). Suppose 0 - j*f**3 + 1/2*f - 1/4*f**4 + 1/4*f**2 = 0. Calculate f.
-2, -1, 0, 1
Let i(b) be the second derivative of b**5/120 - b**4/3 + 20*b**2 - 98*b. Let m(x) be the first derivative of i(x). Factor m(w).
w*(w - 16)/2
Find p, given that -411/4 + 823/4*p - 1/2*p**2 = 0.
1/2, 411
Let q(j) = -39*j**4 - 46*j**3 + 277*j**2 - 648*j + 540. Let o(w) = 4*w**4 + w**3 - w**2 - 2*w. Let i(d) = 10*o(d) + q(d). Solve i(z) = 0 for z.
2, 5, 27
Factor 0 - 3/4*d**5 + 399/4*d**3 + 195/4*d**4 + 201/4*d**2 + 0*d.
-3*d**2*(d - 67)*(d + 1)**2/4
Suppose 0 = -w - 6 + 6. Suppose w = 6*h - 12 - 6. Factor -2*q + 14*q**2 + q - h*q + 8*q**3.
2*q*(q + 2)*(4*q - 1)
Suppose -5 = x - 14. Factor -q**3 - 31 + q**2 + 13 - 6*q + x*q**2 - q**3.
-2*(q - 3)**2*(q + 1)
Let p(l) be the first derivative of 52 + 1/2*l**2 + 0*l + 2/9*l**3 - 1/12*l**4. Factor p(u).
-u*(u - 3)*(u + 1)/3
Let h(m) be the first derivative of 7*m**2 - 168 + 0*m - 2/5*m**5 - 7/2*m**4 + 2/3*m**3. Solve h(i) = 0 for i.
-7, -1, 0, 1
Let d(c) be the third derivative of 6/5*c**4 + 0 - 1/40*c**6 + 77*c**2 + 2/25*c**5 + 0*c**3 + 0*c - 1/350*c**7. Factor d(o).
-3*o*(o - 3)*(o + 4)**2/5
Let j(f) be the first derivative of f**3 + 2274*f**2 + 1723692*f + 1733. Determine h, given that j(h) = 0.
-758
Let u(i) be the third derivative of i**8/50400 - i**7/4200 + i**6/900 - 7*i**5/60 + 77*i**2. Let c(b) be the third derivative of u(b). Factor c(p).
2*(p - 2)*(p - 1)/5
Let h be -2*((-28)/(-3) + (-4)/(-6)). Let x be h/(-35) - (-34)/14. Factor -69*t**x + 5*t**2 + 68*t**3 + 0*t + 4 - 8*t.
-(t - 2)**2*(t - 1)
Let a be 1640261/(-30930) + (-9)/30. Let d = 2/1031 - a. Factor -986/3*x**2 + 578*x**3 + d*x - 8/3.
2*(3*x - 1)*(17*x - 2)**2/3
Let u(n) = -6*n**2 + 378*n + 700. Let j(c) = 2*c**2 - 188*c - 352. Let d(v) = -5*j(v) - 2*u(v). Factor d(p).
2*(p + 2)*(p + 90)
Suppose -1193 = -12*x - 233. Factor -20*t**3 - 4*t**4 + x - 42*t - 2*t**4 + t**4 + 46*t + 76*t.
-5*(t - 2)*(t + 2)**3
Suppose -6*k + k + 5*v = -75, 5*k - 4*v = 75. Let -k + 34 - 14 + c + c**2 - 11 = 0. Calculate c.
-3, 2
Let a be (-5)/((-105)/213) - 2/14. Let -16 - 207*y**2 + 4*y + 209*y**2 + a*y = 0. What is y?
-8, 1
Let m be 0/(21 - 572/26). Let v(g) be the second derivative of m + 0*g**2 - 41*g - 1/60*g**5 + 1/18*g**4 - 1/30*g**6 + 0*g**3. Factor v(t).
-t**2*(t + 1)*(3*t - 2)/3
Let -7/9*n**4 + 0 + 248/9*n**3 - 80/3*n**2 + 0*n - 1/9*n**5 = 0. What is n?
-20, 0, 1, 12
Let b = 128 + -130. Let n be (b/4)/((-20)/(-40))*-2. Factor n*u - 5/2*u**3 - 4*u**2 + 0.
-u*(u + 2)*(5*u - 2)/2
Let q = 1245959/360 - 31130/9. Let z = q + 7/24. Find c such that -12/5*c + 3/5*c**2 + z = 0.
2
Suppose 260 = 692*k - 1124. Find c, given that -2*c + 1/2*c**k + 0 = 0.
0, 4
Let o(u) be the second derivative of -u**6/30 - 11*u**5/10 - 17*u**4/4 + 61*u**3/3 + 76*u**2 - 2*u + 171. Solve o(v) = 0.
-19, -4, -1, 2
Let p(l) be the third derivative of -l**6/160 - 731*l**5/80 + 367*l**4/4 - 735*l**3/2 + 8*l**2 - 233*l - 1. Factor p(a).
-3*(a - 2)**2*(a + 735)/4
Suppose -95*w = -91*w + 2*x + 6, 0 = -3*w - 4*x - 22. Factor -1/3*r**3 + 17/3*r**w + 5 - 31/3*r.
-(r - 15)*(r - 1)**2/3
Let l be (-1850)/(-444) + ((-2)/(-12))/(-1). Suppose -r - l = -3*r. Determine j so that 5*j**3 - 5*j - 56*j**2 + 27*j**r + 29*j**2 = 0.
-1, 0, 1
Determine j, given that -2981*j**3 + 24*j - 16*j**2 + 2*j**4 - 2985*j**3 + 32 + 5960*j**3 = 0.
-2, -1, 2, 4
Let h(g) = 4*g**2 - 4*g + 43 - 15 - 24. Let s(m) = -m. Let w(j) = h(j) + 4*s(j). Find n such that w(n) = 0.
1
Determine v, given that -21*v - 3*v**4 - 54*v - v**5 + 12*v**2 + 21*v**3 + v**3 + 3*v = 0.
-6, -2, 0, 2, 3
Let h(v) be the third derivative of 1/40*v**5 + 0*v + 1/140*v**7 + 0*v**3 - 34*v**2 + 0 - 1/20*v**6 + 3/8*v**4. Solve h(o) = 0.
-1, 0, 2, 3
Suppose -5*i - 15*w + 12*w + 62 = 0, -3*i - 4*w + 35 = 0. Suppose i*h = 18*h. Factor h + 1/5*f**4 + 1/5*f - 1/5*f**2 - 1/5*f**3.
f*(f - 1)**2*(f + 1)/5
Suppose -3*o - 7 = 2*a, -15 = 4*a + 5*o - 6. Suppose -5*l + 10 = -5*d, -3*l - a*d = -l - 4. Factor 12*f + 4 + 6*f**l + 0*f + 0*f**2 + 4*f**3 + 6*f**2.
4*(f + 1)**3
Determine l so that 24/7 - 8/7*l + 2/7*l**3 - 6/7*l**2 = 0.
-2, 2, 3
Factor -90/7*c**3 + 46/7*c**2 + 6*c**4 + 0 + 0*c + 2/7*c**5.
2*c**2*(c - 1)**2*(c + 23)/7
Let z(r) be the second deriva