6*u**4 - 3/8*u**2 + 3/4*u**3 + 6. Let s(m) = 0. Calculate m.
-1, 1, 2
Let v(x) be the second derivative of 0 - 1/66*x**4 + 2/33*x**3 + 8/11*x**2 + 27*x. What is q in v(q) = 0?
-2, 4
Let c(j) be the third derivative of 98/3*j**4 - 7/15*j**5 + 0*j - 10976/9*j**3 + 1/360*j**6 + 0 - 50*j**2. Determine z, given that c(z) = 0.
28
Suppose -2*x = 4*n - 4, -4*x + 442*n - 441*n = 1. Determine h so that 6/5*h**2 + x - 2/5*h**3 - 4/5*h = 0.
0, 1, 2
Suppose -5*u + 5*h + 5991 = 1916, u - 812 = 4*h. Let y = -811 + u. Let -64/3*b - 76/3*b**3 + 28/3*b**4 + 100/3*b**2 + 16/3 - 4/3*b**y = 0. What is b?
1, 2
Suppose -10*b + 22 = 4*c - 7*b, 32*c - b - 126 = 0. Factor -10*u**3 + 216 + 1/2*u**c + 72*u**2 - 216*u.
(u - 6)**3*(u - 2)/2
Let h = -869 + 1012. Let k be 6 - (12 - h/13). Suppose -66/17*t**3 + 2/17*t**2 - 2662/17*t**k + 0*t + 726/17*t**4 + 0 = 0. Calculate t.
0, 1/11
Let l(y) = y**3 + 25*y**2 - 82*y + 38. Let s be l(-28). Let w be (2 - 0)*((-93)/s - 5). Factor 0 + 1/6*a**5 - a**2 + w*a**4 - 5/6*a**3 + 0*a.
a**2*(a - 2)*(a + 1)*(a + 3)/6
Let q be 12/10*22780/201. Let o be (-3)/((-86)/q - (-2)/(-17)). Factor -1/3*d**2 + 1/3*d**5 - d**3 + 0 + 1/3*d**o + 2/3*d.
d*(d - 1)**2*(d + 1)*(d + 2)/3
Let r be (0 - (-6)/20)/((-6)/395). Let x = r + 22. Let -x*l**3 - 3/4*l**2 + 5/4*l - 1/4 = 0. Calculate l.
-1, 1/3
Let t be 33/(-1)*((-74)/6 + 7). Let i be 264/t*4/18. Suppose p**4 + 2/3*p**3 - 2*p**2 - 1/3*p**5 - i*p + 1 = 0. Calculate p.
-1, 1, 3
Let p(h) = 93*h**2 + 778*h + 524. Let o(v) = -66*v**2 - 519*v - 350. Let k(s) = -7*o(s) - 5*p(s). Factor k(a).
-(a + 85)*(3*a + 2)
Let a(m) = 4*m**3 + 4*m**2 - 11*m + 28. Let u be a(4). Suppose u = 11*x + 271. Factor 2/3 - 11/3*h - 7/3*h**x + 16/3*h**2.
-(h - 1)**2*(7*h - 2)/3
Let f(x) be the first derivative of 2/3*x**5 + 44/9*x**3 - 1/18*x**6 + 219 - 10/3*x**2 + 0*x - 11/4*x**4. Let f(s) = 0. Calculate s.
0, 1, 2, 5
Let q = -174587 - -349181/2. Solve 4 + 9*x**2 - 10*x + 1/2*x**4 - q*x**3 = 0.
1, 2
Suppose 57 = 5*v + 3*f, 2*v = -8*v + 3*f + 33. Factor v - 4*h + 2/3*h**2.
2*(h - 3)**2/3
Let d(t) be the first derivative of -t**5 + 385*t**4/4 - 120*t**3 - 770*t**2 + 1520*t - 10651. Determine i, given that d(i) = 0.
-2, 1, 2, 76
Let w be ((-2)/(-25) - (-8784)/(-33550))/(24/(-22)). Suppose 13/6 - 2*t - w*t**2 = 0. What is t?
-13, 1
Let l = -1019739/104 - -127482/13. Solve -1 - 3/4*d + l*d**2 = 0.
-2/3, 4/3
Let s(f) be the second derivative of -f**7/630 + 17*f**6/180 - f**4/2 + f**2/2 + f + 87. Let n(y) be the third derivative of s(y). Factor n(k).
-4*k*(k - 17)
Suppose -3*z = -7 + 1. Let t be (-1253 - -1285) + 28/(-1). Determine b, given that 104*b**z - 32/3 + 436/3*b**3 + 140/3*b**t - 16/3*b = 0.
-2, -1, -2/5, 2/7
Suppose -75 + 1/4*j**3 - 55/4*j + 9/2*j**2 = 0. What is j?
-20, -3, 5
Let d(v) be the first derivative of -v**6/16 - 33*v**5/20 - 201*v**4/16 - 83*v**3/2 - 1035*v**2/16 - 189*v/4 - 976. Find o, given that d(o) = 0.
-14, -3, -1
Let f = -1897 + 1902. Let b(q) be the second derivative of 1/20*q**f + 0 - 1/9*q**3 + 0*q**2 - 1/45*q**6 - 4*q + 1/12*q**4. Determine d, given that b(d) = 0.
-1, 0, 1/2, 2
Let g(h) be the second derivative of -121*h**4/18 + 1034*h**3 - 59643*h**2 + 3*h + 226. What is m in g(m) = 0?
423/11
Let w(h) be the third derivative of -h**6/480 + 117*h**5/20 - 13689*h**4/2 + 4270968*h**3 + 218*h**2. Factor w(x).
-(x - 468)**3/4
Let u = 4557 + -4557. Let w(t) be the first derivative of -1/7*t**3 + 9/28*t**4 + u*t - 6/35*t**5 + 3 + 0*t**2. Factor w(p).
-3*p**2*(p - 1)*(2*p - 1)/7
Let t(m) be the first derivative of -3*m**4/16 + 2265*m**3/4 - 481383*m**2 + 961068*m + 2445. Determine q so that t(q) = 0.
1, 1132
Solve 10*j**2 + 1/2*j**5 + 0 - 10*j**4 + 69/2*j - 35*j**3 = 0 for j.
-3, -1, 0, 1, 23
Let p(z) = 3*z**2 + 29*z + 70. Let y be p(-4). Let n(q) be the second derivative of 0 + 1/27*q**4 + 1/6*q**3 - 11*q + 1/9*q**y. Find a such that n(a) = 0.
-2, -1/4
Let x be (1220/(-5))/(2 - (-24)/(-9)). Suppose 2*m = -p + 85, -p = 3*p - 5*m - x. Determine u, given that -p*u**5 - 10*u**4 + 5*u + u**2 + 9*u**2 + 84*u**5 = 0.
-1, 0, 1
Let n = 90558 - 90556. Solve 0 - 26/11*g**n + 169/11*g + 1/11*g**3 = 0.
0, 13
Suppose -37/2*y**2 + 33/2*y**3 + 0 - 35/2*y**5 + 37/2*y**4 + y = 0. What is y?
-1, 0, 2/35, 1
Let d(m) = -m**3 - 6*m**2 + 17*m + 10. Let q be d(-8). Suppose 0*p = v + 3*p - 2733, 4*p - 5464 = -q*v. Factor -v - 5*a**4 + 2730 - 10*a + 15*a**2.
-5*a*(a - 1)**2*(a + 2)
Let q(h) be the first derivative of 19*h**4/22 + 376*h**3/33 + 151*h**2/11 - 36*h/11 + 677. Solve q(t) = 0.
-9, -1, 2/19
Let d(z) be the third derivative of z**5/480 - 83*z**4/48 + 55*z**3/4 - 5*z**2 - 286. What is w in d(w) = 0?
2, 330
Let -1/4*j**3 - 109/2*j**2 + 0 + 219/4*j = 0. What is j?
-219, 0, 1
Let q(v) be the third derivative of 1/120*v**6 + 0 + 8/3*v**3 + 0*v + 11/8*v**4 + 2*v**2 + 3/10*v**5. Suppose q(j) = 0. Calculate j.
-16, -1
Let w be -5 - (-117 + -12 + 1 + -5). Factor 12*z**2 + z**2 + 18 + 30 + 3*z**2 + w*z + 4*z**2.
4*(z + 6)*(5*z + 2)
Let y(x) be the first derivative of -5/13*x**2 - 12/13*x + 2/39*x**3 + 71. Factor y(p).
2*(p - 6)*(p + 1)/13
Let g be (-38)/(-76) - (-3)/2 - -2. Let k(w) = 17*w - 66. Let h be k(g). Factor 9/4 - 3/2*x + 1/4*x**h.
(x - 3)**2/4
Let b(r) be the first derivative of 1/16*r**4 - 53 + 0*r**3 + 0*r + 1/20*r**5 + 0*r**2. Factor b(s).
s**3*(s + 1)/4
Let c = -203 - -219. Suppose -c*d = -20*d. Solve d*y + 0 + 8/9*y**2 - 4/9*y**5 + 16/9*y**4 - 20/9*y**3 = 0 for y.
0, 1, 2
Factor -242/13 - 44/13*a - 2/13*a**2.
-2*(a + 11)**2/13
Let -90 + 7*y**2 - 13*y**2 + 3*y**2 + 2*y**2 - 47*y + 0*y**2 = 0. What is y?
-45, -2
Let v(w) be the first derivative of -11*w**6/27 - 92*w**5/45 + 7*w**4/9 + 272*w**3/27 - 25*w**2/3 - 4*w - 516. Solve v(t) = 0 for t.
-3, -2/11, 1
Let g be 936/260*((-70)/(-49) - 0). Factor -3/7*n**2 - g + 39/7*n.
-3*(n - 12)*(n - 1)/7
Let l(y) = 8*y**2 + 10*y - 1568. Let s(t) = 12*t**2 + 14*t - 2352. Let g(b) = 7*l(b) - 5*s(b). Determine a so that g(a) = 0.
-14, 14
Let d(r) be the second derivative of -r**5/50 - 5*r**4/6 - 112*r**3/15 + 588*r**2/5 + r + 1428. Factor d(j).
-2*(j - 3)*(j + 14)**2/5
Let w(x) be the second derivative of x**4/24 - 4*x**3 + 23*x**2 - 381*x. Find h, given that w(h) = 0.
2, 46
Let s(z) be the first derivative of 5*z**4/2 + 206*z**3/3 + 58*z**2 - 80*z + 1373. Solve s(n) = 0.
-20, -1, 2/5
Let n = -3307 + 486130/147. Let p(a) be the second derivative of 0*a**4 - 7*a + n*a**7 + 0*a**3 + 0 + 1/105*a**6 - 1/35*a**5 + 0*a**2. Factor p(x).
2*x**3*(x - 1)*(x + 2)/7
Let x = 68/93 - 2/31. Let r(c) = 3*c - 10. Let j be r(4). Factor -14/3*k + 2*k**3 - 2*k**j + 4 + x*k**4.
2*(k - 1)**2*(k + 2)*(k + 3)/3
Let o = -44286 - -44286. Suppose 20*t**2 + o + 5/2*t**4 - 25/2*t**3 - 10*t = 0. What is t?
0, 1, 2
Let y(l) be the second derivative of -3*l**7/56 - 337*l**6/40 - 1163*l**5/40 - 147*l**4/4 - 55*l**3/3 - 173*l. Find n such that y(n) = 0.
-110, -1, -2/3, 0
Let h(x) be the first derivative of x**4/2 - 24*x**3 - 76*x**2 - 3138. What is p in h(p) = 0?
-2, 0, 38
Let k(q) be the second derivative of -q**9/9072 - q**8/3360 - q**7/7560 - 65*q**4/12 - 20*q + 1. Let z(g) be the third derivative of k(g). Factor z(n).
-n**2*(n + 1)*(5*n + 1)/3
Suppose -1/5*s**3 + 88/5 + 4*s**2 - 107/5*s = 0. What is s?
1, 8, 11
Suppose -510 = -5*j - 3*o, 10*j - 5*o = 7*j + 340. Suppose -j + 126 = 7*t. Let 2/9*c**2 - 4/9*c + 0 + 4/9*c**t - 2/9*c**4 = 0. Calculate c.
-1, 0, 1, 2
Let h(j) be the third derivative of 2/5*j**5 - 1/30*j**6 + 0*j**3 - 29*j**2 + 2 + 1/168*j**8 + 0*j - 1/35*j**7 - 2/3*j**4. Determine k so that h(k) = 0.
-2, 0, 1, 2
Let u = 293/5892 - -2/7365. Let r(t) be the third derivative of t**3 + t**2 + 0 - u*t**5 + 0*t + 1/8*t**4. Determine y so that r(y) = 0.
-1, 2
Let i(o) be the first derivative of o**5 + 15*o**4/4 - 760*o**3 + 11680*o**2 - 69120*o + 380. Factor i(c).
5*(c - 8)**3*(c + 27)
Let v = -1027464 + 3082418/3. Let -1/3*a**2 + v*a - 25/3 = 0. Calculate a.
1, 25
Let r(a) be the second derivative of 529*a**4/18 + 92*a**3/3 + 12*a**2 - 2808*a. Factor r(w).
2*(23*w + 6)**2/3
Let h(v) be the first derivative of 5*v**3/3 - 7805*v**2 + 12183605*v + 2765. Solve h(u) = 0.
1561
Solve 0 + 864/5*r**3 + 0*r - 72/5*r**4 + 2/5*r**5 - 3456/5*r**2 = 0.
0, 12
Let u(k) be the third derivative of k**5/90 + 31*k**4/18 + 232*k**3/