34 = -0*y - 4*y, -1028 = -5*y + u. Factor 4*n**2 - 414*n**4 - 2*n**3 + 206*n**4 + y*n**4.
-2*n**2*(n - 1)*(n + 2)
Let p be -2 + 2 + 0 + (18 - 1). Suppose -2*t = 3*y - p, 0 = -3*y + 8*y + t - 19. Factor -x**2 - 3*x + 3*x**3 - 4*x**2 + 8*x**2 - y*x.
3*x*(x - 1)*(x + 2)
Let w(q) be the first derivative of -q**6/18 + 1008*q**5 - 7620480*q**4 + 30725775360*q**3 - 69686058516480*q**2 + 84292256381534208*q + 2921. Factor w(s).
-(s - 3024)**5/3
Let i(v) be the first derivative of -v**6/10 - 12*v**5/25 + 39*v**4/20 + 8*v**3 - 72*v**2/5 - 1615. Find z, given that i(z) = 0.
-4, 0, 1, 3
Let b(h) be the first derivative of -h**5/100 + h**4/8 - 3*h**3/5 + h**2 + 4*h - 58. Let d(k) be the second derivative of b(k). What is o in d(o) = 0?
2, 3
Suppose 10 = 5*j - 0*j. Let a be (-6)/(-76)*((-6)/90)/(6/(-120)). Let 0 + 8/19*r**3 - 8/19*r + 2/19*r**4 - a*r**j = 0. Calculate r.
-4, -1, 0, 1
Suppose 7*i - 2*i = -2*w - 41, 0 = -4*i + w - 25. Let s be (111/(-12) + 1/4)/i. Find v, given that -s*v**3 + 3/7*v**2 + 0 - 3/7*v**4 + 3/7*v**5 + 6/7*v = 0.
-1, 0, 1, 2
Suppose -6*v = -3*v + 42. Let d = 34 + v. Factor 5*u**2 + 4*u - d*u + 20 - 4*u.
5*(u - 2)**2
Let x(l) be the second derivative of -l**4/72 - 35*l**3/2 - 626*l**2/3 - 2*l - 3171. Suppose x(q) = 0. Calculate q.
-626, -4
Factor 313/2*g**3 + 97343*g + 1/4*g**4 + 96721 + 99213/4*g**2.
(g + 2)**2*(g + 311)**2/4
Let i(g) be the second derivative of -2/25*g**6 + 1/5*g**4 + 86 - 2/105*g**7 + 0*g**2 - 1/25*g**5 + 4/15*g**3 - g. Let i(w) = 0. What is w?
-2, -1, 0, 1
Let x(l) be the third derivative of l**6/90 - l**5/3 + 25*l**4/6 + 11*l**3/3 - l**2 - 3*l. Let t(h) be the first derivative of x(h). Factor t(r).
4*(r - 5)**2
Let l(d) be the second derivative of -d**4/6 + 755*d**3/3 - 754*d**2 + 292*d - 2. Solve l(z) = 0 for z.
1, 754
Let l be (-23 + (-3014)/(-132))*-12. Factor -2/15*j**3 + 0*j - 2/5*j**l + 0.
-2*j**2*(j + 3)/15
Factor -86*k + 89*k**3 - 24 + 58*k - 175*k**3 + 90*k**3.
4*(k - 3)*(k + 1)*(k + 2)
Let w be (-4)/(-14 + 2) - 2320/6. Let f = w + 387. Factor f*u**3 - 2/3*u + 0*u**2 + 0.
2*u*(u - 1)*(u + 1)/3
Let d(o) be the first derivative of -o**4/26 + 116*o**3/39 - 57*o**2/13 + 6778. Let d(j) = 0. What is j?
0, 1, 57
Let y be (-4)/3*(68 - 107). Find n such that -52*n**3 + 2*n**4 + 16 - 16*n**4 + y*n**2 - 50*n**4 + 72*n - 16*n**5 - 8*n = 0.
-2, -1/2, 1
Let d be 8 - (-1040)/26 - -12. Factor -4/5*x**4 + 108/5*x**3 - 96/5 + 292/5*x - d*x**2.
-4*(x - 24)*(x - 1)**3/5
Factor -i + 8*i - 3*i**3 + 679*i**2 - 7*i - 184*i**2.
-3*i**2*(i - 165)
Let v(j) be the first derivative of -j**6/540 + j**5/45 - 5*j**4/108 + 27*j**2 + j - 4. Let r(u) be the second derivative of v(u). Factor r(b).
-2*b*(b - 5)*(b - 1)/9
Let s(m) = -m**3 + 28*m**2 + 3. Suppose 0 = 72*y - 53*y - 532. Let v be s(y). Factor 6 - 9/2*w**2 - 3/4*w**v + 3/4*w**4 + 3*w.
3*(w - 2)**2*(w + 1)*(w + 2)/4
Let m(i) be the second derivative of 5*i**4/12 + 25*i**3/6 + 15*i**2 + 1650*i. Determine x so that m(x) = 0.
-3, -2
Let w be ((708/30)/(-59))/(55/(-150)). Solve 10/11*a + w + 2/11*a**2 = 0 for a.
-3, -2
Let y(z) be the second derivative of -2/27*z**4 + 1/27*z**3 - 1/90*z**5 - 2 - 16*z + 4/9*z**2. Solve y(p) = 0.
-4, -1, 1
Suppose 958*j - 963*j = -10, -g + 3*j - 3 = 0. Find l such that -9/5*l + 54/5*l**4 + 66/5*l**3 + g*l**5 + 24/5*l**2 - 6/5 = 0.
-1, 2/5
Let m(o) be the second derivative of -4/9*o**2 + 0 + 79*o + 4/27*o**3 - 1/54*o**4. Find n, given that m(n) = 0.
2
Let b(l) = -11*l**3 - 76*l**2 - 817*l - 3149. Let x(v) = 19*v**3 + 150*v**2 + 1633*v + 6297. Let p(o) = 5*b(o) + 3*x(o). Factor p(w).
2*(w + 11)**2*(w + 13)
Let g(l) be the second derivative of -5/3*l**2 - 11/18*l**3 + 0 + 91*l - 1/36*l**4. Factor g(y).
-(y + 1)*(y + 10)/3
Let a(m) be the third derivative of m**8/336 - 11*m**7/210 - m**6/24 + 11*m**5/12 + m**4/6 - 22*m**3/3 - 22*m**2 - 17. Determine p, given that a(p) = 0.
-2, -1, 1, 2, 11
Let t = -229/2 + 2987/26. Let v = t + -2/39. Determine r so that -v*r + 1/3*r**2 - 2/3 = 0.
-1, 2
Let b(r) = -r**2 + 12*r + 9. Let a be b(5). Suppose a - 66 = -11*q. Solve 4/3*x**3 + 20/3*x**q - 12 + 4*x = 0 for x.
-3, 1
Let p be ((-130)/(-312))/((-245)/(-784)). Factor p*c**4 + 0*c + 0 - 8/3*c**3 + 0*c**2.
4*c**3*(c - 2)/3
Let o(a) = 13*a**2 - 42*a + 80. Let x(p) be the second derivative of 145*p**4/6 - 925*p**3/6 + 880*p**2 - 153*p. Let t(r) = 45*o(r) - 2*x(r). Factor t(u).
5*(u - 4)**2
Factor 10/9*o**3 + 392 + 2464/9*o + 298/9*o**2.
2*(o + 14)**2*(5*o + 9)/9
Let y(o) be the second derivative of 3/50*o**5 + 46*o - 2/5*o**3 - 1/25*o**6 + 0*o**2 - 1/105*o**7 + 0 + 7/30*o**4. Suppose y(i) = 0. Calculate i.
-3, -2, 0, 1
Factor 10/7*u**3 + 2/7*u**2 + 8/7 - 2/7*u**5 - 2/7*u**4 - 16/7*u.
-2*(u - 1)**3*(u + 2)**2/7
Let i(t) be the second derivative of t**4/60 - 25*t**3/2 - 377*t**2/5 - 167*t. Factor i(b).
(b - 377)*(b + 2)/5
Let q(h) be the first derivative of -5*h**6/96 + 7*h**5/24 - 11*h**4/24 + h**3/3 + h**2 + 3*h - 57. Let j(z) be the second derivative of q(z). Factor j(g).
-(g - 2)*(5*g - 2)**2/4
Let m = 6654 + -6652. Let l(t) be the third derivative of -3/5*t**4 - 23*t**m + 0 + 54/5*t**3 + 1/75*t**5 + 0*t. Factor l(z).
4*(z - 9)**2/5
Let j = 338 - 333. Suppose -4*x = -j*s + 8, 4*x - 24 - 8 = -5*s. Find a, given that 24/7*a**2 - 4/7*a**x - 48/7*a + 32/7 = 0.
2
Let g be (3 + 52)/((-16852)/(-9192)). Find u such that 35*u - g - 10/3*u**2 - 5/3*u**3 = 0.
-6, 1, 3
Suppose -5*v + 2*r + 200 = -109, v - 60 = r. Factor -4 - 7 + 70*c**2 - v*c**2 - 1 + 4*c + c**3.
(c - 1)*(c + 2)*(c + 6)
Factor 458*i**2 + i**4 + 313*i**2 + 372*i**3 + 44*i**4 + 107*i + 5*i + 68*i.
3*i*(i + 3)*(i + 5)*(15*i + 4)
Let q(t) = 3*t**4 - 220*t**3 + 840*t**2 - 260*t - 463. Let p(u) = u**4 - 110*u**3 + 420*u**2 - 130*u - 241. Let b(v) = 10*p(v) - 6*q(v). What is z in b(z) = 0?
-1/2, 1, 4, 23
Let g = -1591 - -1596. Let m(u) be the second derivative of 0 - 10*u - 1/11*u**2 - 2/55*u**g - 1/165*u**6 - 1/11*u**4 - 4/33*u**3. Let m(r) = 0. Calculate r.
-1
Let k(c) be the second derivative of -c**7/2 + 53*c**6/10 - 9*c**5/4 - 101*c**4/4 + 35*c**3 - 630*c. Solve k(r) = 0 for r.
-10/7, 0, 1, 7
Let w be 34/(-60) + 4 - (680/(-1904))/((-6)/14). Solve -4/5*n - 3/5*n**3 + 0 + w*n**2 = 0.
0, 1/3, 4
Let k(o) be the first derivative of 38416*o + 1/5*o**5 + 392*o**3 + 5488*o**2 + 14*o**4 - 15. Let k(b) = 0. Calculate b.
-14
Let f(i) be the first derivative of 4*i**5/5 - 530*i**4 + 92924*i**3 + 281960*i**2 + 283024*i + 2131. What is b in f(b) = 0?
-1, 266
Let d(a) be the second derivative of 3*a**7/49 + 128*a**6/105 - 58*a**5/35 - 79*a**4/21 + 107*a**3/21 + 30*a**2/7 + a - 168. Determine w so that d(w) = 0.
-15, -1, -2/9, 1
Let n(z) be the first derivative of -2*z**5/55 + 57*z**4/11 - 6938*z**3/33 + 1140*z**2 - 2200*z - 1519. Factor n(x).
-2*(x - 55)**2*(x - 2)**2/11
Suppose -27 = -8*w + 5. Solve -2*p**3 - 5*p**2 - 3*p**3 - p**3 + 3*p**4 - 4*p**w = 0 for p.
-5, -1, 0
Let f(v) = -3*v**3 - 4*v**2 - 10*v + 19. Let y be f(1). Determine c so that -4/5 - 7*c + 9/5*c**y = 0.
-1/9, 4
Factor 3*w - 9*w**3 - 34*w**4 - w**3 + 35*w**4 + 3*w + 16*w**3 + 11*w**2.
w*(w + 1)*(w + 2)*(w + 3)
Let j be (1/(-5) - 1207/340) + 6 + -2. Factor -5/4*v - j*v**2 - 1.
-(v + 1)*(v + 4)/4
What is l in 4/3*l**4 - 52*l**2 - 128/3*l**3 + 0 + 264*l = 0?
-3, 0, 2, 33
Let g(k) be the first derivative of k**4/5 + 346*k**3/15 + 253*k**2/5 - 68*k + 2069. Factor g(b).
2*(b + 2)*(b + 85)*(2*b - 1)/5
Let z = -172 + 181. Suppose -3*q + 2*q**2 + z*q - 9*q + q**2 = 0. Calculate q.
0, 1
Suppose 142*i + 57 = 57. Let l(c) be the first derivative of 1/10*c**4 - 1/25*c**5 + i*c + 1/15*c**3 - 1/5*c**2 - 14. Factor l(r).
-r*(r - 2)*(r - 1)*(r + 1)/5
Find v such that 13*v**2 - 18002*v + 4*v**3 + 17758*v + 43*v**2 - 680 = 0.
-17, -2, 5
Let d = 224 - 221. Factor -17*y**2 + 117*y**d + 4*y + 114*y**2 - 49*y**2 - 169*y**4.
-y*(y - 1)*(13*y + 2)**2
Factor 0 + 32/7*c**3 + 1/7*c**5 + 18/7*c**4 + 0*c + 0*c**2.
c**3*(c + 2)*(c + 16)/7
Let a be (-9)/2*8/(-12). Suppose z + 2*x - 18 = -2*z, 0 = x - a. Factor 2*k**4 + 2*k**3 - 3*k**5 + k**3 - 2*k**z.
-3*k**3*(k - 1)*(k + 1)
Factor -14*h**2 - 186/13 + 370/13*h - 2/13*h**3.
-2*(h - 1)**2*(h + 93)/13
Let i = -1491 - -1496. Suppose -2*n + 16 = i*t, -22 = -4*t + 2*n - 20. Factor 9/5 + 12/5*k + 3/5*k**t.
3*(k + 1)*(k + 3)/5
Let a(w) = 8*w**3 + 6*