*o**2 - 28 - 4*o**3 - 2*o = 0. What is o?
-14, -1, 1
Suppose 11/2*u**2 + 26 - 125/4*u - 1/4*u**3 = 0. What is u?
1, 8, 13
Let f(r) be the first derivative of r**6/5 - 13*r**5/20 + r**4/4 + 3*r**3/2 - 54*r**2 - 22. Let m(y) be the second derivative of f(y). Factor m(s).
3*(s - 1)**2*(8*s + 3)
Let n be (-4 - 2) + 1 - -27. Find v such that 127*v**2 + v**5 - 14*v**3 + 120*v**2 - 10*v**4 + n - 219*v**2 + 53*v = 0.
-1, 2, 11
Let l(i) be the first derivative of 3*i**4/16 - 33*i**3 + 3267*i**2/2 + 3566. Factor l(j).
3*j*(j - 66)**2/4
Let o(s) be the third derivative of -3/11*s**3 - 1/660*s**6 - 3*s**2 + 0*s + 3/110*s**5 + 1/132*s**4 + 3. Factor o(u).
-2*(u - 9)*(u - 1)*(u + 1)/11
Determine x, given that -10*x - 78/11 + 4*x**2 + 34/11*x**4 + 2/11*x**5 + 108/11*x**3 = 0.
-13, -3, -1, 1
Let a(n) = 539*n**2 + 1615*n - 3. Let v be a(-3). Find s such that 0 + 0*s**2 + 0*s**v + s**5 - 2/5*s**4 + 0*s = 0.
0, 2/5
Let 745/4*z - 1/4*z**2 - 186 = 0. What is z?
1, 744
Let t(d) = d**2 + 7*d - 22. Let s(n) = 1 + 3*n**2 - 7*n + 8*n + 6*n**2 - 10*n**2. Let p(k) = 6*s(k) + 3*t(k). Suppose p(c) = 0. Calculate c.
4, 5
Let d be (-5 - 425/(-102))/((-51)/(-81) - 1). Let g(h) be the first derivative of 15/8*h**2 - d*h - 34 - 7/12*h**3 + 1/16*h**4. Find w, given that g(w) = 0.
1, 3
Let k(z) be the third derivative of -z**8/240 - 2*z**7/105 + z**6/6 + 16*z**5/15 + 8*z**4/5 - 7406*z**2. Suppose k(q) = 0. Calculate q.
-4, -2, -6/7, 0, 4
Let c(d) be the first derivative of -43/8*d**2 - 98 - 31/12*d**3 - 5/16*d**4 + 1/20*d**5 - 9/2*d. Factor c(g).
(g - 9)*(g + 1)**2*(g + 2)/4
Let u be 2/(4/(-112)*-14). Let y(n) be the first derivative of 0*n**2 - 1/10*n**5 - 1 + 1/6*n**3 - 1/8*n**u + 1/12*n**6 + 0*n. Factor y(j).
j**2*(j - 1)**2*(j + 1)/2
Suppose 9 - 70*h**3 + 10*h**2 - h**5 + 2*h**4 + 76*h**3 - 8*h**4 - 21*h + 3*h**4 = 0. Calculate h.
-3, 1
Let o = -5876 + 5879. Suppose -4/7*z**2 + 0*z + 0 + 2*z**o = 0. Calculate z.
0, 2/7
Let w be 1*2 - 6/3. Suppose 5*u + 43 = -528*y + 532*y, y = -4*u + 37. Solve -1/6*j**3 + w*j + 0*j**2 + 0 + 4/3*j**u + 1/3*j**4 = 0.
-1/2, 0, 1/4
Determine s so that 495/2*s - 702 - 24*s**2 + 3/8*s**3 = 0.
6, 52
Let u be 19/95*2/((-18)/(-15)). Solve -5/3*c**4 + 5/3*c**2 + 5/3*c**3 + 0 + u*c**5 - 2*c = 0 for c.
-1, 0, 1, 2, 3
Let r(u) = -u**3 - 16*u**2 - 17*u - 28. Let y be r(-15). Solve -b**y - 4 + 0*b**2 - 103*b + 98*b = 0 for b.
-4, -1
Let r(n) be the third derivative of -n**7/70 + 31*n**6/40 - 43*n**5/10 + 7*n**4 - 1457*n**2. Factor r(c).
-3*c*(c - 28)*(c - 2)*(c - 1)
Let s = -15 + -12. Let m = -23 - s. Factor -1 - j - m*j**2 + 9*j - 2 - 1.
-4*(j - 1)**2
Let m(k) be the first derivative of k**3/9 - 13*k**2/3 + 25*k/3 + 1336. Find f, given that m(f) = 0.
1, 25
Let g(v) be the second derivative of -v**4/21 - 24*v**3/7 - 64*v**2 + 221*v. Factor g(h).
-4*(h + 8)*(h + 28)/7
Let s(l) be the third derivative of -3*l**2 + 180*l**3 - 1125/2*l**4 - 15625/24*l**6 + 6*l + 0 + 1875/2*l**5. Factor s(b).
-5*(25*b - 6)**3
Factor -584/3*f + 800/3 - 212/3*f**2 - 4/3*f**3.
-4*(f - 1)*(f + 4)*(f + 50)/3
Let l(i) = -i**5 - 8*i**4 + 89*i**2 + 127*i + 48. Let f(o) = -10*o**4 - 2*o**3 + 88*o**2 + 126*o + 48. Let y(x) = -3*f(x) + 2*l(x). Factor y(u).
-2*(u - 6)*(u - 4)*(u + 1)**3
Suppose 419 = -3*a + 431. Let y be (4 + -1 + 0)/1. Determine l, given that 54*l**4 - 2*l**5 - a*l**3 - 27*l**4 - 31*l**4 + 2*l**y = 0.
-1, 0
Let d(c) = 34*c**2 + 77*c + 39. Let q(g) = -3*g - 18*g**2 - 20 - 19*g - 23*g + 7*g. Let w(f) = -6*d(f) - 11*q(f). Factor w(y).
-2*(y + 7)*(3*y + 1)
Suppose -10*t - 5 + 5 = -76*t. Let l(z) be the second derivative of -1/48*z**3 + 0 - 8*z + t*z**2 - 1/96*z**4. Let l(y) = 0. What is y?
-1, 0
Let -2/9*a**2 + 142/9*a - 896/9 = 0. What is a?
7, 64
Let b(v) be the third derivative of -1/180*v**5 + 7/72*v**4 + 174*v**2 - 5/9*v**3 + 0*v + 0. Factor b(m).
-(m - 5)*(m - 2)/3
Let f(v) = -1497*v + 12. Let p(j) = j**2 + 2*j + 4. Let i(o) = f(o) - 3*p(o). What is y in i(y) = 0?
-501, 0
Let q(o) be the first derivative of -o**6/600 - o**5/75 + o**4/30 + 8*o**3/15 - 13*o**2/2 + 3*o - 68. Let w(l) be the second derivative of q(l). Factor w(x).
-(x - 2)*(x + 2)*(x + 4)/5
Let i be 20/(-60)*(-4)/6 - 1407. Let y = 1407 + i. Factor -2/9*t + 4/9 + y*t**3 - 4/9*t**2.
2*(t - 2)*(t - 1)*(t + 1)/9
Let x(m) be the first derivative of -2*m**3/15 - 58*m**2/5 + 768*m/5 - 6567. Determine b so that x(b) = 0.
-64, 6
Let u(k) be the third derivative of -k**6/120 + 101*k**5/10 - 30603*k**4/8 - 2*k**2 + 194. Factor u(x).
-x*(x - 303)**2
Let s be (-108)/(-24) - 1/(-2). Suppose 0 = 4*k - 4*g - 16, s*k = -2*g - 3*g. Suppose 46 - 4*q**3 - 41 - 5*q**k + 5*q - q**3 = 0. What is q?
-1, 1
Let k(n) = 4*n**2 + 5*n - 6. Let l be k(3). Suppose -a - 15 = -t + a, l = 5*t - 4*a. Solve 8*x + 6*x**4 - t*x - 15*x**2 + 3*x**3 + 3*x = 0 for x.
-2, 0, 1/2, 1
Let k(g) = -25*g - 773. Let x be k(-31). Let b(h) be the second derivative of 16*h - 1/3*h**3 - 1/30*h**4 - 4/5*h**x + 0. Factor b(j).
-2*(j + 1)*(j + 4)/5
Let f(h) be the third derivative of -h**5/90 - 1225*h**4/18 - 1500625*h**3/9 + 4*h**2 - 52*h. Factor f(b).
-2*(b + 1225)**2/3
Let x(z) = 2*z**3 - 26*z**2 - z + 8. Let t be x(13). Let h(f) = 5*f**2 + 20*f - 157. Let u(c) = -4*c**2 - 21*c + 159. Let r(a) = t*h(a) - 6*u(a). Factor r(d).
-(d - 13)**2
Let o(x) = x**2 + 3*x - 12. Let u be o(0). Let b be ((-2)/u*2)/((-9)/(-405)). Factor 5*k**2 - 15*k + 2 + b - 7.
5*(k - 2)*(k - 1)
Suppose w = -t + 2 + 1, 2*t - 4 = 0. Let d = 5 + w. Let -6*h**2 + h**5 + 13*h**3 - 15*h**3 + 13*h**3 - d*h**4 = 0. Calculate h.
0, 1, 2, 3
Factor -75*i**2 + 280*i**3 - 277*i**3 - i**2 + 7*i**2 + 4*i**2 - 196 + 336*i.
(i - 14)*(i - 7)*(3*i - 2)
Let v(g) be the first derivative of 4*g**3/3 - 68*g**2 - 288*g - 590. Solve v(n) = 0 for n.
-2, 36
Let b(g) = g**2 + g + 1. Suppose -3*t = -3*y - 6, 0*y - 8 = 2*y - 3*t. Let w(a) = a**4 - a**3 + a**2 + 3*a + 2. Let o(j) = y*b(j) - w(j). Factor o(p).
-p*(p - 1)**2*(p + 1)
Let v be 4/7 - (-2204)/406. Let r(f) = f**2 + 2*f + 15. Let m(p) = -3*p**2 - 6*p - 30. Let u(k) = v*m(k) + 13*r(k). Find c such that u(c) = 0.
-3, 1
Let b(f) be the first derivative of -f**6/10 - 51*f**5/20 - 39*f**4/2 - 70*f**3 - 132*f**2 - 116*f - 59. Let m(a) be the first derivative of b(a). Factor m(p).
-3*(p + 2)**3*(p + 11)
Suppose -275*z + 21 = 2*w - 278*z, -4*w - 2*z + 2 = 0. Find f, given that -98/3*f**2 - 10/3*f**w - 24/5 - 368/15*f = 0.
-9, -2/5
Let x(m) be the first derivative of m**3/24 - 569*m**2/16 - 285*m/4 + 207. Factor x(d).
(d - 570)*(d + 1)/8
Suppose 16*z + 10*z = 182. Factor 2 + 24*f**3 - 2 + 12*f**2 - 8*f**4 - z*f**4.
-3*f**2*(f - 2)*(5*f + 2)
Factor -3/4*s**2 - 285/4 + 72*s.
-3*(s - 95)*(s - 1)/4
Let m be 14/(-6) + (-873)/(-27). What is y in -33*y - 14*y**2 - 21*y + 11*y**2 + m*y = 0?
-8, 0
Suppose -5*q + 21 + 14 = 0. Let j be 3 + (-20)/7 - (-27)/q. Determine k so that -2*k - j*k - 4*k - 25 - k**2 = 0.
-5
Factor -93270*j - 103586*j - 165882*j**3 - 77*j**4 - 328328*j**2 - 2*j**5 - 1071*j**4 + 33264*j.
-2*j*(j + 1)**2*(j + 286)**2
Let r(n) be the third derivative of -n**7/525 + 11*n**6/300 - 7*n**5/50 - 59*n**4/60 + 14*n**3/3 - 7*n**2 + 243. What is k in r(k) = 0?
-2, 1, 5, 7
Let b(n) be the second derivative of -n**6/15 - 7*n**5/2 - 116*n**4/3 - 144*n**3 + 2285*n. Factor b(w).
-2*w*(w + 4)**2*(w + 27)
Suppose 9910*w**2 - 4068*w**3 - 3970*w**2 - 10637*w + 36773*w - 95*w**4 - 4*w**5 - 165*w**4 = 0. Calculate w.
-33, -2, 0, 3
Let d(y) be the first derivative of -1/2*y**6 - 57/4*y**4 - 21/5*y**5 + 75 - 12*y - 25*y**3 - 24*y**2. Solve d(i) = 0.
-2, -1
Let f(h) be the first derivative of 94 + 1/9*h**3 + 5*h + 4/3*h**2. Factor f(v).
(v + 3)*(v + 5)/3
Suppose -3*u - 2 = 1, -2*u + 38 = 4*k. What is r in k - 204*r**2 - 46*r - 224*r - 70 - 10 - 6 - 10*r**3 = 0?
-19, -1, -2/5
Let m(c) be the first derivative of 13*c**6/27 - 98*c**5/9 + 703*c**4/18 + 8522*c**3/27 + 3784*c**2/9 + 968*c/9 + 1062. Let m(r) = 0. Calculate r.
-2, -1, -2/13, 11
Let j(v) be the second derivative of v**7/42 + v**6/6 + v**5/4 - 43*v**2/2 + 56*v. Let o(c) be the first derivative of j(c). Determine q so that o(q) = 0.
-3, -1, 0
Let f(n) be the first derivative of 5*n**4 - 641*n**3/3 + 1351*n**2/2 - 298*n - 1350. Factor f(d).
(d - 2)*(4*d - 1)*(5*d - 149)
Suppose 0 - 1587/2*v**3 - 45/4*v**5 + 1245*v**2 - 1797/