ive of 5/1344*k**8 + 3*k**2 - 5/8*k**3 + 5 + 3/16*k**6 + 65/96*k**4 - 1/24*k**7 - 11/24*k**5 + 0*k. Solve z(n) = 0.
1, 3
Suppose -208*b - 150 = -198*b. Let x be ((-126)/b)/(-6 - (-204)/30). Factor -3/2*j + x - 21/2*j**2 + 3/2*j**3.
3*(j - 7)*(j - 1)*(j + 1)/2
Let t(m) be the first derivative of 60 - 8/7*m - 1/21*m**3 + 9/14*m**2. Factor t(u).
-(u - 8)*(u - 1)/7
Let r(f) be the first derivative of f**3 + 0*f**2 - 3 + 0*f**4 - 2*f - 2/5*f**5. Let x(o) = o**4 - o**3 + o. Let w(y) = r(y) + x(y). Factor w(i).
-(i - 1)**2*(i + 1)*(i + 2)
Suppose 548*t = -349*t - 154*t + 2102. Suppose 4/5*g**4 + 0 - 32/5*g**3 - 64/5*g + 16*g**t = 0. Calculate g.
0, 2, 4
Let g(q) be the first derivative of -q**6/720 + q**5/180 + 13*q**4/144 + 5*q**3/18 + q**2 - 21*q + 34. Let p(a) be the second derivative of g(a). Factor p(z).
-(z - 5)*(z + 1)*(z + 2)/6
Let g(r) be the first derivative of -r**4/2 - 22*r**3/3 + 60*r**2 + 504*r + 10488. Factor g(c).
-2*(c - 6)*(c + 3)*(c + 14)
Suppose -26*f = -32 - 358. Suppose 4*r - 4*z - 8 = 0, -r - f*z - 4 = -19*z. Factor -2/5*g + 2/15*g**r - 2/15*g**3 - 2/3*g**2 + 0.
2*g*(g - 3)*(g + 1)**2/15
Let p = 12191 - 194977/16. Let b = -995/208 + p. Factor -8/13*u + b + 8/13*u**2.
2*(2*u - 1)**2/13
Let y(w) = 4*w - 34. Let m(k) = 7*k - 68. Let c(d) = -6*m(d) + 11*y(d). Let a be c(-16). Find i such that 18 - 8 + 2*i**a - 10 = 0.
0
Let a(y) be the second derivative of y**7/147 - y**6/35 - y**5/14 + 5*y**4/14 + 4*y**3/21 - 12*y**2/7 - 6217*y. Let a(k) = 0. Calculate k.
-2, -1, 1, 2, 3
Let a(i) be the second derivative of -3/7*i**2 + 4/21*i**4 - 5/21*i**3 + 0 + 31*i. What is o in a(o) = 0?
-3/8, 1
Let g = -134 - -143. Let h be 4/3 - (-2)/g*3. Determine x, given that -172*x + 311*x - 5*x**h - 174*x - 30 = 0.
-6, -1
Let g = -2147 - -2149. Let f(n) be the first derivative of 0*n**g - 1/14*n**4 - 20 - 4/7*n**3 + 64/7*n. Factor f(i).
-2*(i - 2)*(i + 4)**2/7
Let z be (-13)/195*255/(-34). Factor 0 - z*u**4 + 0*u - 3*u**2 - 5/2*u**3.
-u**2*(u + 2)*(u + 3)/2
Let i(g) be the first derivative of 12/7*g - 2/21*g**3 - 138 + 5/7*g**2. Suppose i(y) = 0. What is y?
-1, 6
Let z(r) be the third derivative of r**8/1428 - r**7/595 - 37*r**6/1020 - r**5/170 + 71*r**4/204 - 10*r**3/17 - r**2 + 116. What is n in z(n) = 0?
-3, -2, 1/2, 1, 5
Let z(w) = -98*w**3 + w**2 - w - 1. Let b be z(-1). Factor 12*g**2 + b*g + 85 - 7*g**2 - 9*g.
5*(g + 1)*(g + 17)
Let v be (-1*1 - (414/(-63) + 5)) + 0. Find p, given that 0 + v*p**2 + 2/7*p**3 + 0*p = 0.
-2, 0
Let i(b) be the first derivative of b**3/18 - 89*b**2/4 + 655*b/3 - 3478. Factor i(h).
(h - 262)*(h - 5)/6
Suppose 5*l - 29 = -3*v, -5*l + 0*v - 2*v + 26 = 0. Factor 27*j**3 - 8*j + 14*j**2 + 3*j**3 + 10*j + 8*j**5 + 26*j**l.
2*j*(j + 1)**3*(4*j + 1)
Let n(s) be the first derivative of 5*s**3/9 - 30*s**2 + 525*s + 217. Find u, given that n(u) = 0.
15, 21
Let p(a) be the first derivative of 28/11*a**2 - 2/33*a**3 - 392/11*a + 76. Let p(r) = 0. What is r?
14
Let y(i) be the third derivative of i**7/11340 - 11*i**6/1620 + i**4/8 - 7*i**3/2 + 59*i**2. Let u(f) be the second derivative of y(f). Factor u(m).
2*m*(m - 22)/9
Suppose 4*r - 34 = -2*v, -3*r - 15213*v = -15218*v + 46. Let 35/3*t**5 - 20/3 + 115/3*t**2 - 95/3*t**4 + 5/3*t**r - 40/3*t = 0. Calculate t.
-1, -2/7, 1, 2
Factor 8*y**2 + 45 + 4*y**2 - y**2 - 2753*y**3 + 39*y + 2754*y**3.
(y + 3)**2*(y + 5)
Suppose -402 = 188*f - 966. Let 8/11*g**f + 2/11 + 16/11*g**2 + 10/11*g = 0. What is g?
-1, -1/2
Let t(b) = -13*b**2 + 125*b + 1795. Let l(y) be the first derivative of -y**3 + y**2/2 - y + 111. Let i(q) = 5*l(q) - t(q). Factor i(j).
-2*(j + 30)**2
Let p(v) be the third derivative of 0 + 0*v**3 + 1/3*v**5 - 2*v + 5/24*v**4 + 5/32*v**6 - 29*v**2. What is h in p(h) = 0?
-2/3, -2/5, 0
Let z be ((0 - -2) + 2)/(0 - (28 - 29)). Find d, given that 5/2*d**3 + 2*d**z + 0*d + 0 + d**2 + 1/2*d**5 = 0.
-2, -1, 0
Let y(x) = -x**2 + 51*x - 3. Let d(u) = -53 + u**2 + 27 - 103*u + 33. Let o(h) = 3*d(h) + 7*y(h). Factor o(v).
-4*v*(v - 12)
Let o(n) = 8*n**4 + 726*n**3 + 64806*n**2 - 18. Let r(m) = m**4 + m**3 + m**2 - 3. Let k(u) = o(u) - 6*r(u). Let k(j) = 0. What is j?
-180, 0
Let r(t) = 2*t + 52. Let a be r(-25). Suppose 0 = -6*w + 4*w + 5*i + 24, 0 = 5*w - a*i - 18. Factor -12/5*v - 3/5*v**w - 9/5.
-3*(v + 1)*(v + 3)/5
Let o(j) = -j**2 + 130*j - 1200. Let d be o(120). Factor 4/17*t + 2/17*t**4 + d - 2/17*t**2 - 4/17*t**3.
2*t*(t - 2)*(t - 1)*(t + 1)/17
Let j be ((-4)/(-3))/2*3. Suppose -16*f - 347 - 407 = -818. Factor 9/7*w**j - 3/7*w**f + 0 - 6/7*w + 0*w**3.
-3*w*(w - 1)**2*(w + 2)/7
Let t = -13815 - -13817. Let o(r) be the first derivative of -14 + 1/3*r**t + 2/27*r**3 + 0*r. Factor o(f).
2*f*(f + 3)/9
Let o = 61 + -59. Suppose o*s - 20 = 3*t, 0 = 4*s - 0*t + 4*t. Find a, given that 6*a**2 + 15*a**2 - 12*a - 6*a**3 + 0*a**3 - 3*a**s = 0.
-4, 0, 1
Let k(n) = 2*n**2 - n**2 - 4*n + 30 + 0*n**2 - 88. Let i be k(10). Find d, given that -8*d - 4/3*d**i + 0 = 0.
-6, 0
Let p(f) be the second derivative of -f**6/10 - 99*f**5/20 + 35*f**4/4 + 33*f**3/2 - 51*f**2 + 261*f + 3. Factor p(c).
-3*(c - 1)**2*(c + 1)*(c + 34)
Suppose -18 = -j - 5*y, -7997*j = -7993*j - y - 9. Factor -5/6*k**j - 1/3*k**4 + k**2 + 0 + 1/6*k**5 + 0*k.
k**2*(k - 3)*(k - 1)*(k + 2)/6
Let p(k) be the third derivative of 0*k**4 + 1/105*k**5 + 0*k**3 - 1/490*k**7 - 1/2352*k**8 + 0 + 0*k**6 - 71*k**2 + 0*k. Factor p(z).
-z**2*(z - 1)*(z + 2)**2/7
Suppose 34*b + 459 = 595. Let w(a) be the second derivative of 0*a**b + 0*a**2 - 1/24*a**3 + 1/60*a**6 - 5*a + 0 + 3/80*a**5. Factor w(d).
d*(d + 1)**2*(2*d - 1)/4
Suppose -y = -288*m + 287*m - 3, 0 = 2*m. Let a be -4*(y - (-22)/(-8))*-2. Solve 10/13*h - 6/13*h**3 + 4/13 - 8/13*h**a = 0.
-2, -1/3, 1
Let f be 24/6*(-9)/12 - -9. Let v(b) be the second derivative of -8/3*b**3 - b**5 + 18*b - 8/3*b**4 + 0 + 0*b**2 - 2/15*b**f. Factor v(p).
-4*p*(p + 1)*(p + 2)**2
Let d = 74 - 42. Suppose 13*m - 5*m - d = 0. Find n, given that -11*n**2 + 6*n**4 - m*n**2 - 18*n**2 + 13*n**2 - 18 - 42*n - 2*n**5 + 12*n**3 = 0.
-1, 3
Let u = 816545 + -816543. Let -6/7*v + 6/7*v**3 + 12/7*v**u - 3/7*v**4 - 9/7 = 0. What is v?
-1, 1, 3
Let a(r) be the first derivative of -5*r**4 - 365*r**3/6 - 365*r**2/4 - 20*r + 3545. Find s, given that a(s) = 0.
-8, -1, -1/8
Let s(p) = 2*p**3 + 5*p**2 - 95*p - 5. Let l(b) = -b**3 - 3*b**2 + 52*b + 3. Let n(j) = -10*l(j) - 6*s(j). Determine g, given that n(g) = 0.
-5, 0, 5
Let v(b) be the third derivative of -b**7/945 - b**6/135 + 2*b**5/135 + 4*b**4/27 - 2*b**2 + 72*b. Factor v(a).
-2*a*(a - 2)*(a + 2)*(a + 4)/9
Let n = -53418/189193 - -100/359. Let x = n - -2639/1054. Let -45/2*t**2 + 60*t - 40 + x*t**3 = 0. Calculate t.
1, 4
Let o be -14*(-2 + -1)/6. Suppose 2*a - 5*s = a + o, -a + 4*s + 6 = 0. Find v, given that 2*v**4 - 4*v**3 - 8*v**3 + 5*v**2 + 13*v**a = 0.
0, 3
Let t = -1 - -3. Let b be -12 + 14 + 2 + -1. Solve -6*h + 60*h**t + 0*h**2 - 9*h**4 + b*h**4 - 6*h + 21*h**5 - 63*h**3 = 0.
-2, 0, 2/7, 1
Let g(i) be the third derivative of i**6/240 + 3*i**5/5 - i**4/48 - 6*i**3 - 634*i**2. Determine r so that g(r) = 0.
-72, -1, 1
Let v(f) be the second derivative of -33/20*f**5 - 9*f**2 - 11/12*f**4 + 23/2*f**3 + 3*f - 21 - 7/30*f**6. Factor v(x).
-(x - 1)*(x + 3)**2*(7*x - 2)
Let x = 159957 + -159955. Let t(m) = -m**3 - 6*m**2 - 5*m + 2. Let i be t(-5). Solve 1/3*o**i - x*o + 5/3 = 0.
1, 5
Suppose -w = 36*w + 163*w. Solve w*n + 0 + 16/3*n**2 + 14/3*n**4 - 2/3*n**5 - 28/3*n**3 = 0 for n.
0, 1, 2, 4
Find h, given that 20273*h + 64481201 - 490504*h - h**3 - 227*h**2 + 252*h**2 + 1178*h**2 - 12172*h = 0.
401
Suppose 0 = -14*o + 16 + 40. Find r, given that 1694*r**3 + 125*r**5 + 321*r**3 - 720*r**3 - 721*r**o - 1570*r**2 + 624*r - 2044*r - 280 + 2571*r**4 = 0.
-14, -1, -2/5, 1
Find h, given that -2/9*h**2 - 88/9*h - 70 = 0.
-35, -9
Solve -1 - 12*h**5 - 123*h**3 - 86251*h**2 + 0 - 45*h + 7 + 63*h**4 + 86362*h**2 = 0.
1/4, 1, 2
Let y(j) be the first derivative of 3*j**4/4 - 4*j**3 + 3*j**2/2 + 18*j - 699. Determine i so that y(i) = 0.
-1, 2, 3
Let d(o) be the first derivative of o**4/10 + 14*o**3/5 - 26*o**2 - 1578. Determine f, given that d(f) = 0.
-26, 0, 5
Let h(u) = -2*u**3 - 34*u**2 - 24*u - 405. Let p be h(-17). Factor 0*y**3 + 3/5*y**5 + p*y**4 + 0*y + 0 + 0*y**2.
3*y**4*(y 