nd l, given that 16/7*l**4 - 340/7*l - 1408/7*l**2 + 0 - 188/7*l**3 = 0.
-5, -1/4, 0, 17
Find i such that -2076*i**3 + 192 + 1400*i + 809*i**2 + 54*i**4 + 64*i**4 + 64*i**5 + 106*i**4 + 1187*i**2 = 0.
-8, -1/4, 2, 3
Let b = 9698/21 + -18829/42. Solve -6*p**2 - 15/2 - b*p = 0 for p.
-5/4, -1
Let w(l) be the second derivative of -l**4/9 + 172*l**3/9 - 170*l**2/3 + 385*l. Suppose w(n) = 0. Calculate n.
1, 85
Let y(z) = 16*z**3 + 36*z + 12 + 10*z**3 + 22 + 19*z**2 - 25*z**3. Let x be y(-17). Factor 4/3*u**5 - 4/3*u**2 + x*u + 0 + 4/3*u**4 - 4/3*u**3.
4*u**2*(u - 1)*(u + 1)**2/3
Let a(y) = 21*y**2 - 40*y - 21. Let f be a(3). Let g be (-20)/(-9) - 2/9. Let -56 + 103 - f*b + 4*b**g + 97 = 0. What is b?
6
What is x in 127/3*x**2 + 1/3*x**4 + 35/3*x**3 + 0 + 31*x = 0?
-31, -3, -1, 0
Let z = 161 - 171. Let h be ((-6)/z)/((-135)/(-450)). Factor 18*t**3 + 9*t**h + 3/2*t + 0 + 15*t**4 + 9/2*t**5.
3*t*(t + 1)**3*(3*t + 1)/2
Let n(b) = b**5 - 3*b**3 - 2*b - 1. Let y(r) = 9*r**5 + 112*r**4 - 375*r**3 + 368*r**2 - 134*r - 5. Let u(f) = -5*n(f) + y(f). Factor u(z).
4*z*(z - 1)**3*(z + 31)
Let k(c) be the third derivative of -c**7/147 + 317*c**6/420 + 97*c**5/105 - 32*c**4/21 - 3598*c**2. Find j such that k(j) = 0.
-1, 0, 2/5, 64
Let s(m) be the second derivative of m**7/21 - 2*m**6/5 - 3*m**5/10 + 10*m**4/3 - 4*m**3 + 311*m. Determine l, given that s(l) = 0.
-2, 0, 1, 6
Let o(g) be the first derivative of -1/2*g**6 + 39/5*g**5 + 0*g**3 + 0*g + 21/2*g**4 - 91 + 0*g**2. Factor o(n).
-3*n**3*(n - 14)*(n + 1)
Let h(r) be the second derivative of 0*r**2 - 18 - 1/4*r**5 - 5/12*r**4 + 0*r**3 - r. Suppose h(s) = 0. Calculate s.
-1, 0
Let v(n) = -n**3 - 4*n**2 - n + 3. Let f be v(-3). Let s be 6 + (f - (-2 + -1)). Solve -20 + 8*l - 30*l**3 + 18*l - 45*l**4 - s*l + 55*l**2 = 0.
-1, 2/3
Let w = -8258 + 8260. Let b(o) be the second derivative of -1/2*o**w - 1/12*o**3 + 0 + 1/24*o**4 + 16*o. Factor b(u).
(u - 2)*(u + 1)/2
Let h(d) be the first derivative of 105 + 1/12*d**4 + 17/9*d**3 + 19/3*d - 37/6*d**2. Let h(w) = 0. Calculate w.
-19, 1
Let v(h) = h + 10. Let m be v(-7). Let i be 1 + (-38)/(-4) + -25 + ((-208)/(-4) - 36). Factor 1/4*u**4 + i*u - 3/2*u**m - 5/4 + u**2.
(u - 5)*(u - 1)**2*(u + 1)/4
Let o be 16/(-24) - 34/(-6). Suppose o*l = 560 - 560. Find k such that 0 + 0*k**2 + 1/6*k**5 + 1/6*k**4 - 1/3*k**3 + l*k = 0.
-2, 0, 1
Let a(u) be the first derivative of u**6/16 - 3*u**5/40 - 273*u**4/32 + 181*u**3/8 - 135*u**2/8 - 661. Let a(v) = 0. Calculate v.
-10, 0, 1, 9
Let g(x) be the second derivative of -1/60*x**5 + 18*x + 5 - 242/3*x**2 - 5/4*x**4 - 88/3*x**3. What is l in g(l) = 0?
-22, -1
Let h(q) = -3*q - 21. Let y be h(-7). Let s be 0 + 0 + 2 - y. Solve 150 - 34 - 3*u**3 - 8 - 33*u**s - 72*u = 0 for u.
-6, 1
Let d be 702/324*40/195. Find m such that 44/9*m**2 - 44/9 + d*m**3 - 4/9*m = 0.
-11, -1, 1
Let j be ((-8)/(-20) + 7/(-30))/((-7200)/(-1080)). Let t(f) be the first derivative of -1/4*f**4 + 2*f + j*f**5 + f**3 + 22 - 2*f**2. Let t(b) = 0. Calculate b.
2
Let b(f) = 175*f - 3146. Let o be b(18). Let y(n) be the third derivative of 0*n - 128/3*n**3 + 0 - 12*n**2 + 8/3*n**o - 1/15*n**5. What is q in y(q) = 0?
8
Let s(f) = -f**2 + 4*f + 35. Suppose 1332*a - 80 = 1322*a. Let z be s(a). Let 3/4*g**4 + 0*g**z - 15/4*g**2 + 3 + 0*g = 0. Calculate g.
-2, -1, 1, 2
Let a = -3 + -106. Let v = a - -120. Factor 10*h**2 - 3*h**5 + 1/3 - 46/3*h**3 + v*h**4 - 3*h.
-(h - 1)**3*(3*h - 1)**2/3
Let 563*x**2 - 222*x**2 - 20*x**3 + 140 - 136*x**2 - 252*x**2 - 268*x**2 - 480*x = 0. What is x?
-14, -2, 1/4
Suppose 0 = -2*i - t + 1392 - 517, 4*i = -4*t + 1740. Let x be 4 + -12 + i/50. Factor 0 - x*d**2 + 8/5*d.
-4*d*(d - 2)/5
Let l(t) be the second derivative of t**6/50 + 72*t**5/25 + 2103*t**4/20 - 970*t**3 + 2250*t**2 + 2*t + 920. Suppose l(x) = 0. Calculate x.
-50, 1, 3
Factor 775/3*n - 190 + 5/3*n**3 - 70*n**2.
5*(n - 38)*(n - 3)*(n - 1)/3
Let g be 35/(-30) - -1 - (-170)/12. Let w(c) be the first derivative of 15/2*c**2 - 10*c + 0*c**3 - g - 5/4*c**4. Factor w(z).
-5*(z - 1)**2*(z + 2)
Let l(p) be the first derivative of -5*p**8/336 + p**7/70 + p**6/60 - 8*p**2 + 2*p + 7. Let k(r) be the second derivative of l(r). Factor k(y).
-y**3*(y - 1)*(5*y + 2)
Let b = -171 - -144. Let o be ((-16)/36)/((-6)/b*-1). Factor -3/8*i**3 + 0 + 3/4*i**o + 0*i.
-3*i**2*(i - 2)/8
Let p(v) be the first derivative of 1/2*v**6 - 44 + 0*v**2 + 0*v - 3/2*v**4 + 3/5*v**5 + 0*v**3. Factor p(q).
3*q**3*(q - 1)*(q + 2)
Let r = 4999/2 - 7495/3. Suppose 0 = -2*h + 10*h. Factor -5/6*i**2 - 1/3*i + h + r*i**3.
i*(i - 1)*(7*i + 2)/6
Let t(i) be the third derivative of i**6/150 + 149*i**5/75 + 532*i**4/3 - 11552*i**3/5 - i**2 - 2027. Find v, given that t(v) = 0.
-76, 3
Suppose -299 = -f + 5. Factor -l + l**2 - f*l**4 - 4*l**2 - l + 305*l**4.
l*(l - 2)*(l + 1)**2
Let x(j) be the third derivative of j**7/1050 - 13*j**6/30 + 257*j**5/300 + 259*j**4/60 + 3*j**2 - 2*j - 141. Determine f so that x(f) = 0.
-1, 0, 2, 259
Let h be 2/((-8)/(-3) + -2). Let p(x) = 6*x - 77. Let d be p(17). Factor 23*n**3 + n**4 + d*n**3 - 2*n**2 - 49*n**h.
n**2*(n - 2)*(n + 1)
Let t = 7 + -5. Suppose -2*w = -9*r + 50, -253*w - 22 = -252*w - 4*r. Determine y, given that -w*y - 4/9 - 14/9*y**t = 0.
-1, -2/7
Let y be 9/(-108) + (-25)/(-12). Let v(f) be the first derivative of -16 - 2/95*f**5 + 0*f + 2/19*f**y + 0*f**4 + 2/19*f**3. Factor v(c).
-2*c*(c - 2)*(c + 1)**2/19
Factor 1236*g**2 + 44*g**3 - 295*g + 202*g + 205*g.
4*g*(g + 28)*(11*g + 1)
Let v(u) be the third derivative of -1/896*u**8 - 1/32*u**4 - 4*u - 9*u**2 - 9/320*u**6 + 7/160*u**5 + 1/112*u**7 + 0 + 0*u**3. Determine n so that v(n) = 0.
0, 1, 2
Let n(b) be the third derivative of 983*b**5/20 - 491*b**4/2 - 2*b**3 + 88*b**2 + 10*b. Find h such that n(h) = 0.
-2/983, 2
What is p in -7376/19*p**4 - 7674/19*p**2 + 13302/19*p**3 + 96/19*p**5 + 1802/19*p - 150/19 = 0?
1/4, 1/3, 1, 75
Suppose 16*g - 5*g = -22. Let z be (g + 7)*4/5. Factor m**2 - 33*m - 4*m**3 + 39*m + m**z + 0*m**3.
m*(m - 3)*(m - 2)*(m + 1)
Let g(v) be the third derivative of v**8/120960 + v**7/30240 - 71*v**5/60 - 25*v**2. Let i(r) be the third derivative of g(r). Factor i(u).
u*(u + 1)/6
Let c(a) = -a + 175. Let u(s) = -3*s + 350. Let j(t) = -5*c(t) + 3*u(t). Let z be j(43). Factor 0*w - 3/2*w**2 + 0 - 3/2*w**z.
-3*w**2*(w + 1)/2
Let t(j) = 48*j**2 + 2289*j + 9. Let a(p) = 85*p**2 + 4006*p + 16. Let f(g) = -9*a(g) + 16*t(g). Factor f(d).
3*d*(d + 190)
Let t(v) be the second derivative of 0 - 67/3*v**4 + 119*v - 4489/3*v**3 - 1/10*v**5 + 0*v**2. Factor t(z).
-2*z*(z + 67)**2
Let t = 116825/28 + -58395/14. Factor -15/2*q - t*q**2 - 25/4.
-5*(q + 1)*(q + 5)/4
Suppose -3*c + 4*r - 314 = 0, 4*c + 2*r + 186 = 2*c. Let n = -96 - c. Let -n*w**2 + 12 + 7*w**2 + 7 - 20*w - 4 = 0. What is w?
1, 3
Let d(a) be the second derivative of -a**4/84 - 17*a**3/21 - 32*a**2/7 - 748*a. Factor d(t).
-(t + 2)*(t + 32)/7
Let s be (8734/(-2695) - 1)/(1 - -6). Let d = -2/343 - s. Factor 0*f + 1/5*f**2 + 0 + d*f**4 + 3/5*f**3 + 1/5*f**5.
f**2*(f + 1)**3/5
Let t(v) be the first derivative of v**3/3 + 127*v**2 + 504*v - 648. Factor t(b).
(b + 2)*(b + 252)
What is i in 31/2*i**2 - 87/2 - 55/2*i - 1/2*i**3 = 0?
-1, 3, 29
Let b = 51225/28 - 51217/28. Let b*k**2 - 12/7*k - 80/7 = 0. Calculate k.
-4, 10
Let j = 10 + -7. Suppose 2*t - 2*o - 28 = 2*o, 2*o = j*t - 22. Factor -n**3 - 6*n**4 - 9*n**2 + t*n**2 + 8*n**4 - 2*n.
n*(n - 2)*(n + 1)*(2*n + 1)
Let i(h) be the second derivative of 3*h**5/20 + 119*h**4/4 + 3819*h**3/2 + 48735*h**2/2 + 2751*h. Factor i(m).
3*(m + 5)*(m + 57)**2
Find r such that 172/5 - 514/5*r + 102*r**2 - 2/5*r**4 - 166/5*r**3 = 0.
-86, 1
Let b(n) = 132*n - 67*n - 38*n**2 + 8*n**2 - 35 + 10*n**3. Let o(d) = -9*d**3 + 30*d**2 - 64*d + 36. Let m(h) = 4*b(h) + 5*o(h). Suppose m(w) = 0. What is w?
2
Let j(k) be the first derivative of 32/3*k + 20/3*k**2 + 37 + 16/9*k**3 + 1/6*k**4. Find v such that j(v) = 0.
-4, -2
Suppose -9 = -2*u + r + 5, -8 = -4*r. Suppose -4*n + 38 = 5*l - u, -2*n = 5*l - 48. What is b in l*b - 7*b + 0*b**2 - b**2 + 4*b**2 = 0?
-1, 0
Let u = 150 + -51. Factor -u - 76 - 1231*d + 1411*d - 5*d**2.
-5*(d - 35)*(d - 1)
Let c(y) = -3*y**3 + 5*y**2 - 84*y - 82. Let m(i) = 2*i**3 - 3*i**2 + i + 1. Let b(o) = -5*c(o) - 10*m(