0*a**6 - 14*a. Factor k(g).
3*(g + 3)**4
Let 176*i**4 + 64*i**4 + 3*i**5 - 20412*i**2 + 13954*i**3 - 2779*i**3 - 6882*i**3 + 15876*i = 0. What is i?
-42, 0, 1, 3
Let v(y) be the first derivative of 4*y**3/3 - 7752*y**2 + 15023376*y + 3474. Find d such that v(d) = 0.
1938
Suppose 10655*v - 4*v**2 + 3068462 + 3136*v - 18702578 + 2025*v = 0. Calculate v.
1977
Let j(s) = s**5 - 2*s**4 - 2*s**3 + s**2 + s + 1. Let z(n) = -4*n**5 + 575*n**4 - 1132*n**3 - n**2 - n - 1. Let q(k) = -j(k) - z(k). Let q(h) = 0. What is h?
0, 2, 189
Suppose -110*h - 1553 = -1773. Let b(m) be the second derivative of 1/20*m**4 + 0*m**h + 37*m + 0 - 1/15*m**3 - 1/150*m**6 + 0*m**5. Let b(u) = 0. Calculate u.
-2, 0, 1
Let d(m) be the third derivative of m**5/60 + 67*m**4/24 - 2851*m**2. Determine v, given that d(v) = 0.
-67, 0
Let x(y) be the second derivative of -y**5/20 + 295*y**4/8 + 37*y**3 - 443*y**2/4 + 1466*y + 3. Solve x(u) = 0.
-1, 1/2, 443
Let q(g) = 5*g**2 - 13*g - 2131. Let a be q(22). Solve -33/5*s**a + 0 - 15*s + 21*s**2 + 3/5*s**4 = 0.
0, 1, 5
Suppose -3*v + 6*v - 6 = 0. Let a(d) = -16*d + 90. Let p be a(5). Factor v*q**3 - 10 + 4*q**2 + p - 6*q**3.
-4*q**2*(q - 1)
Let d(z) = 60*z**2 - 102*z + 119. Let b(p) = 43*p**2 - 68*p + 80. Let v(q) = 7*b(q) - 5*d(q). Factor v(s).
(s - 1)*(s + 35)
Factor -1/8*q**3 - 26243/8*q - 323/8*q**2 - 25921/8.
-(q + 1)*(q + 161)**2/8
Let h(c) = 5*c**5 - 26*c**4 + 12*c. Suppose -2*p - 39 = -51. Let g(a) = 5*a**5 - 25*a**4 + 10*a. Let x(m) = p*g(m) - 5*h(m). Factor x(b).
5*b**4*(b - 4)
Suppose 0 = 2*x + 5*s - 93, -s - 3 = -4*s. Let u be (-150)/(-22) - -2*4/x. Suppose -m**3 + 2*m**2 + u*m - 11*m + 2*m**2 = 0. Calculate m.
0, 2
Let o = 35/2 - 67/4. Let p = -565 - -568. Suppose 0*t**4 + 0 - o*t**5 + 0*t**2 - 3/4*t + 3/2*t**p = 0. Calculate t.
-1, 0, 1
Solve 490*b - 482 - 2*b**2 - 95 + 7*b**2 - 938 = 0.
-101, 3
Let y(f) be the second derivative of -f**7/210 - 4*f**6/45 + 3*f**5/10 - 11*f**3/2 - 20*f. Let s(w) be the second derivative of y(w). Factor s(k).
-4*k*(k - 1)*(k + 9)
Let x be 4 - (6 - (-1 + 3)) - -245. Factor -327*g**4 - 169*g**2 + x*g**5 + 600*g**3 + 137*g**4 - 475*g**4 - 11*g**2.
5*g**2*(g - 1)*(7*g - 6)**2
Let k(m) = -m**3 - 10*m**2 + 28*m + 55. Let g be k(-12). Let r be -9 + 2 + g - (-3)/7. What is d in -r*d**2 + 3/7 + 0*d = 0?
-1, 1
Let q(s) = 3*s**2 - 12*s - 50. Let w be q(-6). Suppose 5*i**2 + 19 - w*i + 107*i + 21 + 68*i = 0. What is i?
-8, -1
Let f(w) be the third derivative of -29/540*w**6 + 1/315*w**7 + 0*w - 1/6*w**5 + 1/12*w**4 + 14 - 7*w**2 + 22/27*w**3. Solve f(r) = 0 for r.
-1, 2/3, 11
Factor -42/5*j + 24/5 - 3/5*j**3 + 21/5*j**2.
-3*(j - 4)*(j - 2)*(j - 1)/5
Find j such that -35*j**4 + 80*j + 60 - 5*j**5 + 196*j**3 - 25*j**2 - 440*j**3 + 169*j**3 = 0.
-3, -2, -1, 1
Let n(r) be the third derivative of r**5/270 + 41*r**4/108 + 853*r**2. Factor n(i).
2*i*(i + 41)/9
Solve 2014*t - 4025*t + 2*t**2 - 192 + 2019*t = 0 for t.
-12, 8
Let m(q) be the third derivative of -8/15*q**5 + 57*q**2 + 11/30*q**6 + 0 - 1/84*q**8 + 32/3*q**3 + 0*q + 4/105*q**7 - 10/3*q**4. Find a, given that m(a) = 0.
-2, 1, 4
Factor -12*y**4 - 192*y**2 - 240*y - 576/5 - 72*y**3 - 3/5*y**5.
-3*(y + 2)**4*(y + 12)/5
Let y = -48 + 48. Suppose -2*r - 5*n + 18 = y, r + 3*n + 18 = 3*r. Suppose f**3 - 5*f**3 + 13*f**5 + r*f**2 - 8*f**4 - f**2 - 9*f**5 = 0. Calculate f.
-1, 0, 1, 2
Let k be (42877/(-4045))/(8/(-55)) - 3/6. Suppose -180*r - 3/8*r**4 - 96 - k*r**2 + 45/4*r**3 = 0. Calculate r.
-1, 16
Let p = 7971 - 836954/105. Let k(q) be the third derivative of 0 + 1/6*q**4 - 15*q**2 - 1/6*q**5 - p*q**7 + 0*q**3 + 0*q + 1/15*q**6. Factor k(i).
-2*i*(i - 2)*(i - 1)**2
Let c be (-9063)/(-38)*(-90)/(-21). Let i = c - 1015. Factor -22/7*s**4 + 0 + 0*s - 2/7*s**5 - i*s**2 - 10*s**3.
-2*s**2*(s + 1)*(s + 5)**2/7
Suppose -1/4*l**2 - 134689/4 - 367/2*l = 0. Calculate l.
-367
Let x(i) be the third derivative of -i**5/105 - 29*i**4/21 + 80*i**3/7 + 2*i**2 - 167*i. Factor x(b).
-4*(b - 2)*(b + 60)/7
Suppose -4*z - 36 + 44 = 0. Factor -10*b**z + 474*b**3 - 960*b**3 + 481*b**3.
-5*b**2*(b + 2)
Let p(h) = -5*h**2 + 137*h + 282. Let q(i) = -2*i**2 - 3*i - 4. Let v(n) = -p(n) + 2*q(n). Factor v(b).
(b - 145)*(b + 2)
Let y(f) be the second derivative of 16*f + 1/12*f**4 + 1/30*f**6 - f**2 - 4 + 1/2*f**3 - 3/20*f**5. Find g such that y(g) = 0.
-1, 1, 2
Let f(h) be the second derivative of h**7/14 - 39*h**6/10 + 1293*h**5/20 - 933*h**4/4 - 216*h**3 + 1458*h**2 + 939*h. Let f(x) = 0. What is x?
-1, 1, 3, 18
Let -8/5*s**4 - 2*s + 12/5*s**3 + 0 + 8/5*s**2 - 2/5*s**5 = 0. What is s?
-5, -1, 0, 1
Let m = -685 + 693. Find g, given that -73*g**2 + 156*g**2 - 12*g**5 - m*g**3 - 83*g**2 + 28*g**4 = 0.
0, 1/3, 2
Let i be (15/20)/(-4*(-1)/(-2 - -6)). What is g in 3*g**3 - 3*g - 3 + i*g**4 + 9/4*g**2 = 0?
-2, -1, 1
Factor -112/3*g + 20*g**2 - 256 + 4/3*g**3.
4*(g - 4)*(g + 3)*(g + 16)/3
Let n(g) = 4*g**5 + 49*g**4 + 6*g**3 - 19*g**2 - 5*g + 15. Let q(l) = l**5 + l**4 + l**3 + 5*l**2 - l + 3. Let a(i) = -n(i) + 5*q(i). Factor a(k).
k**2*(k - 44)*(k - 1)*(k + 1)
Let h = -81 - -88. Suppose h*r = 11*r - 12. Suppose 28*p**2 - 44*p**4 + 8*p**r + 16*p**4 - 8*p + 0*p**3 = 0. Calculate p.
-1, 0, 2/7, 1
Suppose d - 2*d = -72. Let t = 76 - d. Factor 2*c**4 - 5*c**3 - 4*c**4 + 6*c**t - 2*c**5 + 3*c**3.
-2*c**3*(c - 1)**2
Let t = -282/7 + 1431/35. Let h(b) be the second derivative of 4*b**2 - 12*b + 14/3*b**3 - t*b**5 + 2/3*b**4 + 0. Factor h(c).
-4*(c - 2)*(c + 1)*(3*c + 1)
Let v(z) be the third derivative of 7/120*z**5 + 0 + 96*z**2 + 0*z**3 + 1/84*z**7 + 0*z + 1/672*z**8 + 1/24*z**4 + 3/80*z**6. Determine i so that v(i) = 0.
-2, -1, 0
Let h(g) be the second derivative of 37*g**5/3 - 28*g**4/3 + 8*g**3/9 + 87*g + 4. Factor h(y).
4*y*(5*y - 2)*(37*y - 2)/3
Let u(w) be the first derivative of 24/5*w**3 + 78/5*w - 255 - 153/10*w**2 + 3/20*w**4. Factor u(s).
3*(s - 1)**2*(s + 26)/5
Factor 1/4*z**4 - 3/4*z**2 + 0*z**3 - 1/2*z + 0.
z*(z - 2)*(z + 1)**2/4
Suppose -3*a + 21 = 4*q, -2*q - 3*a = 7 - 22. Let 241*d**5 + 364*d**5 - 24*d**4 + 40*d**2 + 1454*d**4 + 460*d**q = 0. Calculate d.
-2, -2/11, 0
Let z(n) be the second derivative of n**7/504 - 7*n**6/45 + 141*n**5/80 + 6459*n. Factor z(d).
d**3*(d - 47)*(d - 9)/12
Suppose 38926 = -26*u + 38926. Let i(w) be the third derivative of 0 - 1/280*w**6 - 2/7*w**4 + 0*w**3 + 2/35*w**5 + 19*w**2 + u*w. Find f, given that i(f) = 0.
0, 4
Factor -2800/11 - 12*s**2 - 1170/11*s - 2/11*s**3.
-2*(s + 5)**2*(s + 56)/11
Let i be -50*((-3)/(-30) - (-2)/(-4)). Suppose 4*a - 20 = 6*s - 2*s, -4*a + i = 5*s. Factor 3 + a*k**3 - 3*k - 12*k**3 - 2*k**2 + 10*k**3 - 1.
(k - 1)*(k + 1)*(3*k - 2)
Let m = 738604 - 738604. Factor 2/13*k**2 + m*k + 2/13*k**3 + 0.
2*k**2*(k + 1)/13
Factor -2*m**2 - 27*m + 7*m + 14*m + 19 - 8 + 45.
-2*(m - 4)*(m + 7)
Let r be ((-1)/(-4) - 155/124)/((-2)/6). Let v(n) = -n - 7. Let j be v(-7). Factor j + 12/5*w**2 - 9/5*w - 3/5*w**r.
-3*w*(w - 3)*(w - 1)/5
Let k(l) be the first derivative of -l**6/150 + 3*l**5/50 - 2*l**4/15 - 39*l - 49. Let z(p) be the first derivative of k(p). Factor z(w).
-w**2*(w - 4)*(w - 2)/5
What is k in 1544*k**2 + 1546*k**2 - 1150*k - 66125 + 1543*k**2 - 4638*k**2 = 0?
-115
Let p(o) be the third derivative of 162/5*o**3 - 21*o**2 + 1/100*o**5 + 0*o + 0 - 9/10*o**4. Factor p(t).
3*(t - 18)**2/5
Let r(z) = 44*z**2 - 176*z + 337. Let i(l) = -25*l**2 + 88*l - 168. Let p(s) = 7*i(s) + 4*r(s). Determine b so that p(b) = 0.
2, 86
Let f(g) = 588 + 193*g + g**2 - 39*g + 1065 - 53. Let j(p) = -12*p**2 - 1696*p - 17600. Let k(o) = -32*f(o) - 3*j(o). Let k(a) = 0. Calculate a.
-20
Let 3/5*l**5 + 18/5*l**2 - 9/5 + 3/5*l - 6/5*l**3 - 9/5*l**4 = 0. Calculate l.
-1, 1, 3
Let q(x) be the third derivative of -x**5/20 + 17*x**4/4 - 32*x**3 + 970*x**2. Find i such that q(i) = 0.
2, 32
Let o(t) be the second derivative of -25/9*t**2 - 10/27*t**3 + 0 - 1/54*t**4 + 74*t. Suppose o(p) = 0. Calculate p.
-5
Factor -26*k + 180/7 + 2/7*k**2.
2*(k - 90)*(k - 1)/7
Let g(j) = j**2 - 48*j + 324. Let l(x) = -x**2 + 12*x - 19. Let i be l(6). Let f(k) = -3*k**2 + 142*k - 972. Let z(o) = i*g(o) + 6*f(o). Solve z(n) = 0.
18
Suppose 23*l + 41 = 87. Let j(k) be the third derivative of 0*k**3 - 2/75*k**5 - 1/300*k**6 + 26*k**l - 1/15*k**4 + 0*k + 0. Factor j(t).
-2*t