ose -6251*u - 70756/3 - 90*u**2 - 1/3*u**3 = 0. Calculate u.
-133, -4
Let n(q) be the first derivative of 484*q**6/225 + 22*q**5/25 + q**4/10 - 110*q - 259. Let b(r) be the first derivative of n(r). Factor b(k).
2*k**2*(22*k + 3)**2/15
Let o(s) be the second derivative of s**5/5 + 182*s**4 - 1094*s**3/3 + 93*s - 28. Find x such that o(x) = 0.
-547, 0, 1
Let l = -288403 - -288405. Find w, given that 0*w + 5/2*w**3 + 0 - 10*w**l = 0.
0, 4
Let k(l) be the second derivative of l**7/168 - l**6/24 + 7*l**5/80 + l**4/48 - l**3/3 + l**2/2 - 11*l - 19. Suppose k(u) = 0. Calculate u.
-1, 1, 2
Let u = 317/626 - 2/313. Let m = -1/26 + 8/39. Factor u*t + m*t**2 + 1/3.
(t + 1)*(t + 2)/6
Let j = -96 + 246. Solve -287 - 5*p**2 + j + 142 = 0 for p.
-1, 1
Let m(l) be the second derivative of -1/100*l**5 - 7/10*l**3 + 9/5*l**2 + 0 + 2/15*l**4 + 41*l. Factor m(v).
-(v - 3)**2*(v - 2)/5
Let j = 1449 + -2051. Let k = j + 604. Solve 2/5*x + 0 + 1/5*x**k = 0.
-2, 0
Let n(h) be the second derivative of -1/60*h**5 + 5/18*h**4 + 4/3*h**2 + 0 - 17/18*h**3 + 81*h. Let n(l) = 0. What is l?
1, 8
Let x(w) be the third derivative of w**5/70 - 13*w**4/14 + 272*w**2 - 2*w. Suppose x(o) = 0. What is o?
0, 26
Let l(w) be the third derivative of 0*w - 226*w**2 + 0*w**3 + 1/5*w**5 + 7/12*w**4 + 0 - 1/60*w**6. Find d, given that l(d) = 0.
-1, 0, 7
Let c = 50/3 + -244/15. Let y be 8/(-36)*((-6 - 23) + 20). Factor c*w**y + 2/5*w - 4/5.
2*(w - 1)*(w + 2)/5
Let r be ((-190)/1805 + 24/(-133))/(-1 - (-3)/12). Factor 10/21*m**3 - 16/21*m**2 - r*m + 0.
2*m*(m - 2)*(5*m + 2)/21
Suppose 33*i = 14224 + 2573. Let h = 513 - i. Factor -5/7*q**2 - 9/7*q**3 + 9/7*q + q**h - 2/7.
(q - 1)**2*(q + 1)*(7*q - 2)/7
Determine o, given that 164*o**3 - 5481*o + 152*o**2 - 158*o**4 + 6 + 10886*o - 5569*o = 0.
-1, 3/79, 1
Let j = 1/278564 + 95268743/40391780. Let n = 36/29 + j. Let 12*b**2 + 16/5 - n*b**3 - 56/5*b = 0. What is b?
2/3, 2
Let b(f) = -7*f**4 - 24*f**3 + 125*f**2 + 1595*f + 10. Let y(k) = -4*k**4 - 12*k**3 + 63*k**2 + 797*k + 6. Let i(c) = -3*b(c) + 5*y(c). Factor i(z).
z*(z - 8)*(z + 10)**2
Let m = -44 - -50. Let b be (-4)/(-7)*21/m. Find r, given that -4*r - 4*r + r**b + 3*r**3 + 2*r**2 + 2*r = 0.
-2, 0, 1
Let k(c) be the first derivative of c**7/14 + 3*c**6/10 - c**4 - 219*c + 137. Let n(o) be the first derivative of k(o). Solve n(a) = 0.
-2, 0, 1
Let b = 11217 - 89735/8. Let c(v) be the first derivative of -3/4*v**4 + 0*v**3 + 0*v**2 + 0*v - 29 - 3/5*v**5 - b*v**6. Suppose c(w) = 0. Calculate w.
-2, 0
Let t(x) be the second derivative of -5*x**7/6 - 817*x**6/6 - 23307*x**5/4 + 155465*x**4/12 - 17405*x**3/3 - 1908*x. What is k in t(k) = 0?
-59, 0, 2/7, 1
Let q be (1/11)/((-121)/(-2662)). Factor -1/5*d**4 + 27/5*d - 5*d**2 + 9/5*d**3 - q.
-(d - 5)*(d - 2)*(d - 1)**2/5
Let z(u) be the third derivative of -u**5/90 - 13*u**4/72 - 5*u**3/6 + 2056*u**2. Factor z(n).
-(n + 5)*(2*n + 3)/3
Let w be ((-384)/5120)/(2/(-4)). Let j(s) be the first derivative of 0*s**2 + 15 + w*s**4 + 1/5*s**3 + 0*s. Factor j(a).
3*a**2*(a + 1)/5
Let v(k) = -k - 10. Let y be v(-13). Let r be -1 - (y + -1 - 6). Factor b**2 + b + b**2 + b**r + 2*b**3 - 2*b**3.
b*(b + 1)**2
Find y, given that 0 + 1/6*y**5 + 89/2*y**4 + 0*y**2 + 0*y**3 + 0*y = 0.
-267, 0
Let h(x) be the second derivative of -7*x**6/10 - 141*x**5/20 - 63*x**4/4 - 13*x**3/2 + 15*x**2 - 4*x - 17. What is j in h(j) = 0?
-5, -1, 2/7
Let k(j) be the first derivative of -28 + 9/14*j**2 + 0*j - 1/7*j**3. What is z in k(z) = 0?
0, 3
Let l(i) be the third derivative of -69 - 1/5*i**6 + 13/20*i**5 + 0*i**3 - 1/10*i**7 + 0*i - 3*i**2 + 1/4*i**4. Let l(q) = 0. What is q?
-2, -1/7, 0, 1
Let g be (68/(-6))/((-2)/6). Suppose -42 + g = -4*v. Suppose 2*o + o - o**v + 2*o**2 + o = 0. What is o?
-4, 0
Suppose -1695*b + 2606*b - 1993 = 740. Factor 0 - 1/6*n**4 + 1/6*n**b + 0*n + n**2.
-n**2*(n - 3)*(n + 2)/6
Let j(l) be the first derivative of -4*l**3/3 + 454*l**2 + 1832*l - 1349. Factor j(u).
-4*(u - 229)*(u + 2)
Let w(a) = -118*a**3 + 1034*a**2 - 1716*a + 802. Let i(h) = h**4 - h**3 - 1. Let t(p) = 2*i(p) + w(p). Solve t(y) = 0 for y.
1, 8, 50
Let t(u) be the second derivative of u**4/28 + 37*u**3 + 28749*u**2/2 - 82*u - 1. Determine p so that t(p) = 0.
-259
Let s = 11462 + -34376/3. Let w(c) be the second derivative of -27*c - 9/5*c**5 + 2*c**2 + c**4 + 0 + s*c**3. Determine r so that w(r) = 0.
-1/3, 1
Let h = 164 - 69. Let w be (h/(-15) + 6)*0. Factor -2/9*g**5 + 0*g**4 + 0*g**2 + w + 4/9*g**3 - 2/9*g.
-2*g*(g - 1)**2*(g + 1)**2/9
Let u(g) be the second derivative of g**6/330 + 224*g**5/55 + 50176*g**4/33 + 1060*g. Let u(y) = 0. Calculate y.
-448, 0
Factor 3/8*b**2 + 1347/4*b + 604803/8.
3*(b + 449)**2/8
Let t(w) be the second derivative of w**4/14 - 94*w**3/21 - 985*w. Factor t(c).
2*c*(3*c - 94)/7
Let s be ((-234)/(-351))/((-52)/24)*26/(-4). Solve -1/4*i**4 + 31/2*i**3 + 16*i + 0 + 127/4*i**s = 0 for i.
-1, 0, 64
Let s(b) be the second derivative of -2*b**6/45 - 866*b**5/15 - 188353*b**4/9 - 83136*b**3 - 124416*b**2 - 1486*b - 2. Factor s(j).
-4*(j + 1)**2*(j + 432)**2/3
Let r = 8 + -3. Let d(a) = -r*a**3 + 6 - 5*a**2 + 13*a**4 - 5 - 6. Let v(i) = 32*i**4 - 12*i**3 - 12*i**2 - 12. Let c(q) = 12*d(q) - 5*v(q). Factor c(l).
-4*l**4
Let j(b) be the second derivative of b**4/36 - 10*b**3/9 + 32*b**2/3 + 544*b + 1. Factor j(g).
(g - 16)*(g - 4)/3
Let o be (-60)/45*(-24)/16. Let n(f) be the first derivative of 2/7*f**3 - 43 + 0*f + 0*f**o. Let n(h) = 0. What is h?
0
Let k be -8 + 87/9 + (-8)/12. Let m be 42*k/24*(-6)/(-14). Determine q so that 1/8*q**4 - 3/8 + 1/4*q**2 - 5/8*q + m*q**3 - 1/8*q**5 = 0.
-1, 1, 3
Let u(m) be the third derivative of m**7/210 + 77*m**6/120 - 236*m**5/15 + 179*m**4/2 + 528*m**3 - 2261*m**2. Factor u(x).
(x - 6)**2*(x + 1)*(x + 88)
Suppose 10 = -460*k + 465*k. Let u(t) be the first derivative of -5 - 2/3*t**k - 2/3*t**3 + 0*t - 1/6*t**4. Factor u(w).
-2*w*(w + 1)*(w + 2)/3
Let s(o) be the first derivative of o**5 + 45/2*o**4 - 45*o**2 + 155/3*o**3 - 160*o - 313. Determine d, given that s(d) = 0.
-16, -2, -1, 1
Let f(m) be the third derivative of m**8/2352 - 38*m**7/735 + 37*m**6/210 + 294*m**2. Suppose f(u) = 0. Calculate u.
0, 2, 74
Let x = 12198928 + -11015629661/903. Let k = x + -1/903. Factor -4/7 - k*w - 2*w**2.
-2*(w + 1)*(7*w + 2)/7
Let -89*t**2 + 780 + 5*t**3 + 100 - 360*t + 104*t**2 = 0. What is t?
-11, 4
Let w(h) be the first derivative of -7/102*h**4 - 1/170*h**5 - 11/51*h**3 - h - 5/17*h**2 + 12. Let l(a) be the first derivative of w(a). Solve l(y) = 0 for y.
-5, -1
Let f(o) = 12*o - 182. Let k be f(15). Let u be (-437)/(-95) + 6/k. Factor -u*m**3 + 0*m + 0 + 2/3*m**4 + 8/15*m**2.
2*m**2*(m - 2)*(5*m - 2)/15
Let l(r) be the first derivative of -5*r**2/2 - 23*r + 462. Let h be l(-5). Factor -6/7 + 9/7*b - 3/7*b**3 + 0*b**h.
-3*(b - 1)**2*(b + 2)/7
Let w(j) be the first derivative of -19*j**6/1080 - j**5/10 + j**4/18 - 119*j**3/3 + 160. Let a(c) be the third derivative of w(c). Factor a(x).
-(x + 2)*(19*x - 2)/3
Let z(h) = -5*h**3 + 19*h**2 + 8*h - 11. Let d be z(4). Suppose -4*l + 8*l + 2 = -d*n, -5*n + 2*l = -16. Factor -2/13 - 2/13*p**4 + 0*p**3 + 0*p + 4/13*p**n.
-2*(p - 1)**2*(p + 1)**2/13
Suppose 0 = 4*p + 3*i - 13, 4*p - 12*i + 16*i = 8. Suppose 37 = -p*o + 51. What is u in 5/2*u - 5/2*u**o + 5 = 0?
-1, 2
Let v(c) = -2*c**2 - 16*c + 620. Let l be v(14). Find t, given that -1/4*t**l + 0 + 0*t + 1/4*t**3 + 0*t**2 = 0.
0, 1
Let -21*w**2 + 24 + 73*w**2 + 14*w - 15*w**2 - 35*w**2 = 0. What is w?
-4, -3
Suppose 5*l - 73 = 7. Factor l*q - 18 - 33*q**2 - 5*q - 48*q - 38*q.
-3*(q + 2)*(11*q + 3)
Factor -4/3 - 1/12*n**2 + 5/6*n.
-(n - 8)*(n - 2)/12
Let f(g) = 20*g**2 + 924*g - 1160. Let j(b) = -b**2 + 9*b + 4. Let q(s) = -2*f(s) - 36*j(s). Determine k, given that q(k) = 0.
-544, 1
Let x = 33691/8 + -33685/8. Suppose -9/4*w - 3*w**2 + 27/2 + x*w**3 = 0. Calculate w.
-2, 3
Let r(u) be the second derivative of u**7/2940 + u**6/63 + 11*u**5/60 - 121*u**4/42 + 19*u**3/2 + 19*u. Let s(g) be the second derivative of r(g). Factor s(w).
2*(w - 2)*(w + 11)**2/7
Let 22 - 26/3*t**2 + 2/3*t**3 + 38/3*t = 0. Calculate t.
-1, 3, 11
Let a(q) = -46*q**3 - q**2 + 1. Let g be a(-1). Suppose g - 31 = c. Factor -9*d**3 - c*d**3 - 4*d**4 - 10*d - 28*d**2 - 2*d + 4*