Find b such that j(b) = 0.
-2, -1, 0
Suppose -537 + 537 = -113*q. Let y(w) be the third derivative of 1/4*w**3 + 1/32*w**4 + q - 1/80*w**5 + 0*w - 28*w**2. Suppose y(h) = 0. What is h?
-1, 2
Let o(x) = -x**3 + 5*x**2 + 17*x - 17. Let n be o(7). Suppose 2*l = 3*m + 11, l + n*m + 12 = 3*l. Factor 2*g**l + 2*g**5 - 28*g**2 + 28*g**2.
2*g**4*(g + 1)
Let l(h) be the first derivative of -2/3*h**6 + 1112/3*h**3 + 64/5*h**5 - 760*h**2 + 800*h - 33 - 97*h**4. Factor l(f).
-4*(f - 5)**2*(f - 2)**3
Let x(l) be the first derivative of -l**4/4 - 51*l**3 - 609*l**2/8 - 38*l - 238. Suppose x(m) = 0. What is m?
-152, -1/2
Let o(x) be the first derivative of x**6/195 - x**5/13 - 6*x**4/13 - 38*x**3/39 - x**2 + 42*x + 57. Let k(n) be the first derivative of o(n). Factor k(i).
2*(i - 13)*(i + 1)**3/13
Let s = 16797/4 + -4199. Let w(u) be the first derivative of -3/8*u**4 + 14 + 2/3*u**3 + 0*u - s*u**2 - 2/5*u**5 + 1/3*u**6. Suppose w(p) = 0. Calculate p.
-1, 0, 1/2, 1
Let d be 4 - 2 - -2 - (0 + 0). Factor 10*u + 260*u**2 + 6*u**d - 275*u**2 - u**4 + 0*u.
5*u*(u - 1)**2*(u + 2)
Find r such that -7548*r + 12066*r**2 - 671 - 779*r**3 + 914*r**3 + 1751 = 0.
-90, 2/9, 2/5
Find s such that -22*s + 2/3*s**2 - 140/3 = 0.
-2, 35
Let k(w) = -w**3 - 14*w**2 + 48*w - 69. Let p be k(-16). Let f = 327 + p. Factor 3/7*d**f + 9/7 + 12/7*d.
3*(d + 1)*(d + 3)/7
Suppose 12*s + 5*w - 310 = 13*s, 0 = 3*w - 3. Let k = -1829/6 - s. Factor 1/6*d**4 + 0 - k*d**2 + 1/3*d - 1/3*d**3.
d*(d - 2)*(d - 1)*(d + 1)/6
Let x = 103722 - 933494/9. Let i be ((-6)/4)/(3/(-4)). Let 4/9*d - 1/9*d**3 - x + 1/9*d**i = 0. What is d?
-2, 1, 2
Let r be 17/(-8)*(-1 - (-15)/17). Suppose r + 9/4*p**4 + 3/2*p + 7/2*p**2 + 1/2*p**5 + 4*p**3 = 0. What is p?
-1, -1/2
Suppose 5*i + 3*d = 113, 2*d + 5 = 3*i - 59. Let r = i + -18. Factor -15*f**4 + 2*f**5 + 4*f**3 + 4*f**4 + 5*f**r.
2*f**3*(f - 2)*(f - 1)
Factor 600*m**2 - 3197*m**3 + 1574*m**3 - 432*m + 1452*m**3 + 3*m**5.
3*m*(m - 4)**2*(m - 1)*(m + 9)
Let m be 1/(-5) + (-7 - (-360)/50). Suppose 13*q - 5*q + 3*q = m. Factor 0 - 8/5*i**2 + q*i - 4/5*i**3.
-4*i**2*(i + 2)/5
Let q(n) be the second derivative of -n**7/3780 + n**6/60 + 19*n**5/180 - 35*n**4/4 - 52*n + 1. Let y(g) be the third derivative of q(g). Factor y(u).
-2*(u - 19)*(u + 1)/3
Let x(n) be the third derivative of 0*n**3 - 1/28*n**4 + 1/1470*n**7 - 1/84*n**5 + 0 - 5*n**2 + 1/420*n**6 + 0*n. Factor x(q).
q*(q - 2)*(q + 1)*(q + 3)/7
Let g be 8/1 + -19 + 14 + 126. What is h in -g*h**3 - 185*h**2 - 96*h**3 + 46*h**5 - 115*h**4 - 89*h**5 + 23*h**5 - 34*h - 21*h = 0?
-11/4, -1, 0
Let v be (1 - 0)*(2 + -3 - 368/(-23)). Solve -1/2*q**3 - v*q**2 - 500 - 150*q = 0 for q.
-10
Let v = 50 - 45. Suppose 5*z = -5*u + 45, z + 27 = v*u - 0*z. Suppose u*a**2 + 99*a**2 + 25*a**4 - 85*a**3 + 10 - 12*a - 9*a - 34*a = 0. What is a?
2/5, 1
Let y(f) be the third derivative of f**7/70 + 151*f**6/24 + 3948*f**5/5 - 1323*f**4/2 - 2079*f**2. Factor y(o).
o*(o + 126)**2*(3*o - 1)
Let -1840 + 352 + 2*b**3 + 2*b**3 - 224*b**2 - 1472*b - 132*b**2 = 0. Calculate b.
-2, 93
Let t(w) be the first derivative of -2*w**3/9 - 458*w**2 + 15117. Factor t(m).
-2*m*(m + 1374)/3
Let d(s) be the third derivative of -s**6/80 - 1053*s**5/20 - 369603*s**4/4 - 86487102*s**3 - 7*s**2 + s + 70. Let d(f) = 0. Calculate f.
-702
Let n(d) be the first derivative of -d**6/30 - 2*d**5/15 + d**4/6 + 4*d**3/3 - 3*d**2 - 102. Let z(w) be the second derivative of n(w). Factor z(g).
-4*(g - 1)*(g + 1)*(g + 2)
Let y(n) be the third derivative of 0 - 2/3*n**4 + 0*n + 1/120*n**5 - 78*n**2 + 64/3*n**3. Find g such that y(g) = 0.
16
Suppose -6*m = -33 - 207. Find c, given that -22 - 16*c - 6 + m + 4*c**2 = 0.
1, 3
Let s(q) = 3*q**4 + q**3 - 3*q**2 - q. Let m(j) = -3*j**4 + 3*j**2. Let u = 34 + -29. Let b be -3 + (u/(-5))/((-2)/14). Let z(f) = b*m(f) + 3*s(f). Factor z(x).
-3*x*(x - 1)**2*(x + 1)
Let o(g) = -g**3 - 43*g**2 - 2*g - 84. Let p be o(-43). Find y such that 235424 - 3*y**3 - y**3 - 17482*y - 15936 + 154*y - 240*y**2 + 696*y**p = 0.
38
Let c = -7197 + 11788. Let d(k) = c - 4591 - k. Let v(j) = -20*j**3 - 12*j**2 + 2*j. Let i(z) = -6*d(z) + v(z). Solve i(w) = 0 for w.
-1, 0, 2/5
Find r, given that -27*r**2 + 23 + 37*r - 7*r**3 + 18*r + 6*r**3 - 52 + 2*r = 0.
-29, 1
Let k be 34/51*(-4)/(-13). Let s(p) be the first derivative of -8/13*p**2 - k*p**3 + 2/13*p**5 + 3/13*p**4 - 3 + 0*p + 1/39*p**6. Find q such that s(q) = 0.
-2, 0, 1
Let i = 189080 - 189076. What is t in 51/7*t**3 + 39/7*t - 72/7*t**2 - 12/7*t**i - 6/7 = 0?
1/4, 1, 2
Let p(d) = -5*d**3 - 129*d**2 + 515*d - 54. Let z(k) = 7*k**3 + 128*k**2 - 516*k + 72. Let v(b) = -4*p(b) - 3*z(b). What is r in v(r) = 0?
0, 4, 128
Let p(t) be the third derivative of -t**8/168 + 31*t**7/105 - 29*t**6/30 - t**5/15 + 59*t**4/12 - 29*t**3/3 + 317*t**2. Factor p(d).
-2*(d - 29)*(d - 1)**3*(d + 1)
Let n(f) be the first derivative of f**4/48 - f**3/6 + 3*f**2/8 - 17*f + 52. Let p(y) be the first derivative of n(y). Factor p(t).
(t - 3)*(t - 1)/4
Let l(j) be the second derivative of -j**5/90 - 13*j**4/27 - 209*j**3/27 - 484*j**2/9 - 30*j + 4. Factor l(n).
-2*(n + 4)*(n + 11)**2/9
Let f be 62/6 - 648/(-972). Let g(y) be the first derivative of -3/4*y**4 + 0*y + f - 3/10*y**5 + 0*y**2 - 1/2*y**3. Find t, given that g(t) = 0.
-1, 0
Let s(g) be the first derivative of -2/3*g**3 + g**4 + 84 - 8*g + 2/15*g**5 - 20/3*g**2. Factor s(n).
2*(n - 2)*(n + 1)**2*(n + 6)/3
Let c(v) be the first derivative of -5/2*v**2 + 0*v - 58 + 4/3*v**3 + 1/4*v**4. Factor c(a).
a*(a - 1)*(a + 5)
Factor 2*a**2 - 4*a**2 - 1634*a + 1606*a + 102.
-2*(a - 3)*(a + 17)
Let r(f) be the first derivative of f**5/10 + 9*f**4/4 + 83*f**3/6 + 33*f**2/2 - 1810. Factor r(b).
b*(b + 1)*(b + 6)*(b + 11)/2
Solve 138/5*v**2 + 90*v - 2/15*v**4 + 468/5 + 34/15*v**3 = 0 for v.
-3, 26
Suppose 2*a + 1 + 13 = 4*s, s - 2*a = 5. Let b(k) = 8*k**2 + 6*k + 1. Let w be b(-1). Factor 63*r**2 + 23*r**4 + 25*r**s + 26*r**w + 33*r - 8*r**4 + 65 - 59.
3*(r + 1)**3*(5*r + 2)
Let z(n) be the third derivative of -n**8/336 - 7*n**7/30 - 89*n**6/15 - 694*n**5/15 - 506*n**4/3 - 968*n**3/3 + 1075*n**2. Solve z(k) = 0.
-22, -2, -1
Let p be 346/10 - 32/(-80). Let o be (2 - 40/p)/((-12)/(-16)). Find c such that -2/7*c**4 - 8/7*c + o - 6/7*c**2 + 8/7*c**3 = 0.
-1, 1, 2
Let g be 8/(-40)*(1 + (-5 - 141)). Suppose 4*v - g = -3*r, 4*v + r = 8*v - 17. Factor 1/4*o**4 + 2*o - 1 - 1/4*o**2 - 5/4*o**3 + 1/4*o**v.
(o - 1)**3*(o + 2)**2/4
Let n = -39 - -39. Suppose n*v = 4*v - 200. Find i, given that -i**4 - 56*i**2 - 2*i**3 + 160*i**2 - 51*i**2 - v*i**2 = 0.
-3, 0, 1
Let v be (-1)/(-10)*-8 - (-7900)/125. Factor -24/5*x**4 - 144/5 - 268/5*x**2 - 114/5*x**3 - v*x - 2/5*x**5.
-2*(x + 2)**3*(x + 3)**2/5
Let s(w) be the second derivative of 3*w**5/140 + 6*w**4/7 + 58*w**3/7 + 216*w**2/7 - 665*w + 6. Suppose s(a) = 0. What is a?
-18, -4, -2
Let x(j) be the second derivative of -j**5/120 + j**4/48 + 107*j**2/2 - 3*j - 3. Let u(w) be the first derivative of x(w). Find b, given that u(b) = 0.
0, 1
Let g = 4904 - 2405. Suppose -10*a = -g + 2479. Find n such that 12/5*n**a + 1/5*n**3 + 0 + 36/5*n = 0.
-6, 0
Let g(o) be the third derivative of 0*o**6 + 38 + 0*o**5 + 2/525*o**7 + 0*o**3 - 2*o**2 + 0*o**4 + 0*o - 1/1680*o**8. Determine s so that g(s) = 0.
0, 4
Let k(d) be the first derivative of -4*d**6/27 - 106*d**5/45 - 79*d**4/6 - 752*d**3/27 - 80*d**2/9 - 3144. Let k(r) = 0. What is r?
-5, -4, -1/4, 0
Factor 648 - 126*r + 2/9*r**3 + 4*r**2.
2*(r - 9)**2*(r + 36)/9
Find k such that 13*k**2 - 96*k + 1/2*k**3 + 0 = 0.
-32, 0, 6
Suppose -137*n + 21*n = -348. Let k(b) be the second derivative of -1/60*b**4 - 1/15*b**n + 0 - 1/10*b**2 - 35*b. Suppose k(p) = 0. What is p?
-1
Let m(o) be the third derivative of o**8/191520 + 11*o**7/23940 + o**5/30 - 41*o**4/6 - 210*o**2. Let z(t) be the third derivative of m(t). Solve z(u) = 0.
-22, 0
Let -46/11*y + 2/11*y**2 - 420/11 = 0. What is y?
-7, 30
Let v(a) be the first derivative of -2*a**5/5 - 133*a**4/2 + 538*a**3/3 - 135*a**2 - 2449. Determine l, given that v(l) = 0.
-135, 0, 1
Determine b, given that -2167206/5*b**2 - 4808/5*b - 8/15 = 0.
-2/1803
Let g(p) be the first derivative of 3/4*p**4 - 6*p**3 + 0*p + 0*p**2 + 36. Factor g(a).
3*a**2*(a - 6)
Factor -101*t - 2317*t**