 39*r**3 + 2*r**a = 0. What is r?
0, 1, 2
Let z = 2518/35 - 18322/315. Factor -100 - 340/3*b - 4/9*b**3 - z*b**2.
-4*(b + 1)*(b + 15)**2/9
Let t = -181/70 - -201/70. Factor -t*d**2 - 2/7 - 4/7*d.
-2*(d + 1)**2/7
Determine r so that 83*r**3 - 325*r**4 - 100*r**3 + 204*r + 216*r**2 - 124*r**3 + 316*r**4 = 0.
-17, -2/3, 0, 2
Let -8/3*k + 2/3*k**4 - 2/3*k**3 - 8*k**2 + 32/3 = 0. Calculate k.
-2, 1, 4
Let u = 797665 + -797661. Let 78/7*g**2 - 104/7 + 2/7*g**u - 8/7*g + 32/7*g**3 = 0. What is g?
-13, -2, 1
Suppose -4*r + 3*n = -19 + 38, 0 = -3*r + 2*n - 12. Factor 0 + 0*l**r - 2/3*l + 2/3*l**3.
2*l*(l - 1)*(l + 1)/3
Let q be (-4)/(-8)*0/(-1). Let r be (-230)/50*(-10)/28 + 380/(-760). Factor 0*x**2 + 2/7*x**3 + q - r*x.
2*x*(x - 2)*(x + 2)/7
Let n(p) = p**3 + 9*p**2 + 15*p. Let g be n(-6). Factor -3*y**5 - 16*y**3 - 17*y**3 + g*y**3 - 18*y**4.
-3*y**3*(y + 1)*(y + 5)
Let x(f) be the third derivative of -f**5/140 + 527*f**4/56 - 263*f**3/7 - f**2 - 3*f - 8. Factor x(u).
-3*(u - 526)*(u - 1)/7
Let p = -34327 + 34331. Let f(x) be the first derivative of 33 + p*x**2 - 4*x - 4/3*x**3. Factor f(q).
-4*(q - 1)**2
Let r(d) be the third derivative of d**7/105 - 23*d**6/225 + 49*d**5/150 - 13*d**4/30 + 8*d**3/45 + 294*d**2. What is w in r(w) = 0?
2/15, 1, 4
Suppose 0 = -58*v - 308 + 424. Let f(u) be the third derivative of -25/24*u**4 + 1/21*u**7 + 5/6*u**3 + 8*u**v + 0*u + 0 + 3/4*u**5 - 7/24*u**6. Factor f(z).
5*(z - 1)**3*(2*z - 1)
Let i(a) be the first derivative of a**5 - 675*a**4/2 + 92420*a**3/3 - 84420*a**2 - 718240*a + 2083. Factor i(k).
5*(k - 134)**2*(k - 4)*(k + 2)
Let b(s) be the first derivative of -s**4 + 10540*s**3/3 - 3474246*s**2 + 6937956*s - 4119. Let b(t) = 0. What is t?
1, 1317
Let x be 1743/(-3984)*8/(-7). Factor -3/4*t**3 + x*t**4 + 1/2*t**2 - 1/8*t**5 + 0 - 1/8*t.
-t*(t - 1)**4/8
Let x(c) = 2*c**2 - 13*c + 34. Let p be x(10). Let k = -59 + p. Factor 5*d**3 + 3*d - k*d**2 + 20 - 23*d + 40*d**2.
5*(d - 2)*(d - 1)*(d + 2)
Let g(k) be the second derivative of -2*k**3 + 3/2*k**2 - 9/10*k**5 - 11/4*k**4 + 8 - 2*k. Factor g(r).
-3*(r + 1)**2*(6*r - 1)
What is k in -942*k**4 + 944*k**4 - 850*k**3 + 1006*k - 2562*k**2 - 3572*k - 856 = 0?
-1, 428
Find p such that 450/7*p**2 + 4080/7*p + 9248/7 = 0.
-68/15
Let t(z) = 2*z**2 - 16*z + 20. Let c be t(5). Let i be 5/(-25)*75/c. Solve 0*o + i*o**4 + 0*o**2 + 0 - 3/2*o**3 = 0 for o.
0, 1
Let r(v) be the second derivative of v**4/48 - 35*v**3/12 + 1225*v**2/8 + 45*v - 12. Let r(i) = 0. What is i?
35
Let d = 1761 + -1603. Suppose -63*n - 16*n = -d. Factor -8/3*f + 2/3*f**3 - 2/3*f**n + 8/3.
2*(f - 2)*(f - 1)*(f + 2)/3
Find h such that -713/9 + 8/9*h + 1/9*h**2 = 0.
-31, 23
Let o(n) be the first derivative of -n**5/12 - 25*n**4/24 - 5*n**3 + 7*n**2/2 + 3*n - 63. Let p(r) be the second derivative of o(r). Let p(y) = 0. What is y?
-3, -2
Let b(y) be the third derivative of -y**5/180 + 103*y**4/36 - 68*y**3/3 + 209*y**2. Suppose b(z) = 0. What is z?
2, 204
Factor -282*h + 59643 + 1/3*h**2.
(h - 423)**2/3
Let d(m) be the third derivative of -7*m**6/120 - 2*m**5/3 - 11*m**4/6 + 8*m**3/3 + 17*m**2 - 21*m. Factor d(k).
-(k + 2)*(k + 4)*(7*k - 2)
Let w(l) = l. Suppose 52*f - 48*f = 16. Let n(h) = h**2 - 5. Let k(v) = f*w(v) + n(v). Factor k(p).
(p - 1)*(p + 5)
Let c(p) be the first derivative of -5*p**3/3 + 35*p**2/2 + 300*p + 649. Factor c(w).
-5*(w - 12)*(w + 5)
Solve 2209/4*p**4 - 1833/2*p**3 + 1521/4*p**2 + 0 + 0*p = 0 for p.
0, 39/47
Let n(b) be the third derivative of 0*b - 1/9*b**4 + 0 + 1/180*b**5 + 8/9*b**3 + 39*b**2. Find a, given that n(a) = 0.
4
Factor -72*b**2 - 153557*b**3 + 153559*b**3 + 112 + 87*b + 116 - 245*b.
2*(b - 38)*(b - 1)*(b + 3)
Let t(d) be the second derivative of -15*d**5/4 + 535*d**4/12 - 35*d**3/3 - 3537*d. Determine w, given that t(w) = 0.
0, 2/15, 7
Let l(j) be the second derivative of j**8/23520 - j**7/8820 - j**6/1260 - 20*j**4/3 - 3*j. Let o(u) be the third derivative of l(u). What is r in o(r) = 0?
-1, 0, 2
Let f be (-11086 - -11155)/((-2)/16*21*4) - -8. Factor 0 - 2/7*r**4 - f*r**2 - 8/7*r**3 - 4/7*r.
-2*r*(r + 1)**2*(r + 2)/7
Let d be (80/21)/((-3808)/(-3332)). Factor -2/3*y**2 + d + 8/3*y.
-2*(y - 5)*(y + 1)/3
Let a = -44931699/62593942 - -2/309871. Let n = -22/101 - a. Find o such that 9/2 + n*o**2 - 5*o = 0.
1, 9
Factor -5/4*b - 1/4*b**4 + 3/4*b**2 + 1/4*b**3 + 1/2.
-(b - 1)**3*(b + 2)/4
Let d(y) = 3*y**2 - 318*y + 2891. Let l(g) = -g**2 + 80*g - 723. Let v(c) = -6*d(c) - 22*l(c). Determine a, given that v(a) = 0.
-45, 8
Suppose -1053/2*g**2 - 15/2*g**3 + 0 + 426*g = 0. Calculate g.
-71, 0, 4/5
Let f = 8 - -13. Let z be (f/(-6))/1*(-160)/56. Factor 2 + z*k - 4 - 3 - 5*k**2.
-5*(k - 1)**2
Let r be 468/20 + (-8)/20. Let q = r + -18. Let 0*i**5 + 4*i**5 - 10*i**3 + 5*i + i**5 + 0*i**q = 0. What is i?
-1, 0, 1
Let k(j) = -j**2 - 10*j - 9. Let f be k(-9). Suppose 146 = 5*h + 4*t - 2*t, h + 3*t - 24 = f. Find i such that -26*i**2 - 4*i - 3*i - i + h*i**2 = 0.
0, 2
Factor -8525/2*y**2 + 5/2*y**3 - 8515/2 + 17035/2*y.
5*(y - 1703)*(y - 1)**2/2
Let f(d) be the first derivative of 2*d**3/27 - 46*d**2/3 + 1058*d - 555. Solve f(c) = 0.
69
Factor 4/7*z**4 - 48/7*z**3 + 120/7*z**2 + 36/7 - 16*z.
4*(z - 9)*(z - 1)**3/7
Factor 103/3*x + 17/3*x**3 - 25*x**2 - 1/3*x**4 - 44/3.
-(x - 11)*(x - 4)*(x - 1)**2/3
Let c(o) = -154*o**2 + 1475*o - 1481. Let g(z) = -555*z**2 + 5163*z - 5184. Let h(j) = 18*c(j) - 5*g(j). Factor h(f).
3*(f - 1)*(f + 246)
Let i be (-24224245)/12551 + (-4)/7. Let z = 1931 + i. Factor 0 + 0*f + z*f**2 - 4/11*f**3 + 1/11*f**4.
f**2*(f - 2)**2/11
Let q(k) be the second derivative of k**6/75 + 159*k**5/50 - k**4/30 - 53*k**3/5 - 3369*k. Determine w so that q(w) = 0.
-159, -1, 0, 1
Let n(f) be the first derivative of -f**4/30 + f**3/5 + 2*f**2 + 65*f - 161. Let r(y) be the first derivative of n(y). Suppose r(z) = 0. What is z?
-2, 5
Let y = -3571 + 3573. Determine k, given that -15/4*k**3 + 3*k - 3*k**y + 9/4*k**4 + 0 = 0.
-1, 0, 2/3, 2
Let i(t) be the second derivative of 33*t**5/20 + 182*t**4 + 66*t**3 + 3838*t. Factor i(y).
3*y*(y + 66)*(11*y + 2)
Factor -5*t**4 + 12 - 12 + 468*t - 108*t + 195*t**3 - 550*t**2.
-5*t*(t - 36)*(t - 2)*(t - 1)
Suppose 4*w + 7 = 5*f - 6, 3*f = 5*w. Suppose -5*d = -f*j - 25, -5*d = 2*j - 0*j - 4. Determine u, given that 36*u**3 - 3*u**2 + 9*u**2 + 15*u**4 + 6*u**d = 0.
-2, -2/5, 0
Let -4/11*r**2 - 2/11*r**5 - 12/11 + 16/11*r**4 - 24/11*r**3 + 26/11*r = 0. Calculate r.
-1, 1, 6
Let p(m) be the second derivative of m**6/6 + 65*m**5/4 + 1360*m**4/3 + 2560*m**3/3 - 728*m. Factor p(i).
5*i*(i + 1)*(i + 32)**2
Let g(x) be the third derivative of -x**7/630 + 13*x**6/180 + 13*x**4/4 - 170*x**2. Let k(j) be the second derivative of g(j). Solve k(b) = 0 for b.
0, 13
Let f be (((-9919)/364)/109)/((-3)/4). Find n such that -f*n**2 - 14/3 - 5*n = 0.
-14, -1
What is l in -54/5 - 3516552/5*l**2 - 23868/5*l - 172701776/5*l**3 = 0?
-3/442
Let z(q) be the third derivative of -q**8/252 - q**7/21 - 7*q**6/45 + q**5/5 + 3*q**4/2 - 3*q**3 - 315*q**2 + 4*q. Find k, given that z(k) = 0.
-3, 1/2, 1
Let v(q) be the first derivative of -q**5/80 + q**4/16 + 71*q + 48. Let g(m) be the first derivative of v(m). Factor g(a).
-a**2*(a - 3)/4
Let t = 80 - 53. Let r = -24 + t. Factor 5*s + 7*s**3 - 10*s**2 + 0*s - 11*s**r + 9*s**3.
5*s*(s - 1)**2
Suppose 0 = 3*o - 4*o + 4*h + 2, -10 = -5*o + 3*h. Suppose -22 = -3*u - 4*t, -o*u + 2*t - 12 = -2*t. Suppose b + 1/3*b**u + 2/3 = 0. What is b?
-2, -1
Let b be ((-50)/8)/((-331575)/35368). Factor -10 - 34/3*k - 2/3*k**2 + b*k**3.
2*(k - 5)*(k + 1)*(k + 3)/3
Let i be 8 + 2 + 0 - (-3 + -12 + 21). Factor 0*d**2 + 0 - 3/7*d**5 + 0*d**i - 3/7*d + 6/7*d**3.
-3*d*(d - 1)**2*(d + 1)**2/7
Suppose 2*i = 5*c - 9, -255*c + 9 = -257*c + 5*i. Let d(y) be the second derivative of -c*y**2 - 8/9*y**3 + 1/18*y**4 + 0 - 22*y. Factor d(x).
2*(x - 9)*(x + 1)/3
What is c in 36/7 + 1/7*c**2 - 13/7*c = 0?
4, 9
Let h be 198 + -178 - -327*2/(-33). What is t in 4/11*t - 2/11*t**4 + 0*t**2 + h - 4/11*t**3 = 0?
-1, 1
Let h(m) = 10847*m - 119317. Let x be h(11). Factor x + 9/2*y - 3/2*y**2.
-3*y*(y - 3)/2
Suppose -63 - 21 = -3*b. Suppose 34*m = b*m. What is k in -2/9*k**4 + 2/9*k**2 + m + 2/9*k**3 - 2/9*k = 0?
-1, 0, 1
Let m be 8883/(-470) + (19 - 0). Let f(k) 