 - 100*u - 45. Let j(p) = p**2 + 52*p - 50. Let o(m) = -10*j(m) + 6*v(m). Solve o(q) = 0.
1, 25
Let g(h) be the first derivative of -18 + 1/51*h**4 + h**2 + 0*h + 2/255*h**5 + 1/51*h**3. Let f(r) be the second derivative of g(r). Solve f(j) = 0 for j.
-1/2
Let z(s) be the second derivative of s**5/30 + 11*s**4/6 + 64*s**3/3 + 260*s**2/3 - 7*s + 334. Let z(x) = 0. Calculate x.
-26, -5, -2
Let r(s) be the first derivative of 3/2*s**2 - 1/25*s**5 + 9/20*s**4 + 0*s - 23/15*s**3 - 61. Factor r(t).
-t*(t - 5)*(t - 3)*(t - 1)/5
Let r = -2 + 5. Suppose 0 = g + r, -5*f - 4*g = -g - 6. What is w in 16*w**f - 28*w**2 + 51*w**5 - 134*w**5 + 8*w + 28*w**4 + 59*w**5 = 0?
-1, 0, 1/2, 2/3, 1
Let c(n) = -4*n**2 - 802*n - 680. Let o(k) = k**2 - k - 61. Let l(j) = 2*c(j) + 4*o(j). Suppose l(s) = 0. Calculate s.
-401, -1
Let v(c) = 55*c**2 - 7*c + 7*c - 56*c**2. Let x(i) = 9*i**2 - 55*i + 50. Let r(m) = 4*v(m) + x(m). Factor r(u).
5*(u - 10)*(u - 1)
Find w such that 5640 - w**2 + 6*w**2 + 16087786*w - 16088531*w = 0.
8, 141
Let c(p) be the first derivative of p**5/140 + 5*p**4/42 - 11*p**3/42 - 89*p + 90. Let m(t) be the first derivative of c(t). Let m(v) = 0. What is v?
-11, 0, 1
Let t = 290702/3 - 96900. Determine c so that 2/3*c**4 + 0 - t*c**2 - 2/3*c + 2/3*c**3 = 0.
-1, 0, 1
Suppose 0 = 4*b - 18 + 2. Suppose 0 = -b*y, -6*g + y = -g - 15. Factor 2*d**3 - 2*d**3 - 7*d**g - 5*d - 9*d**2 + 0 - 1 - 2*d**4.
-(d + 1)**3*(2*d + 1)
Let o(g) = -16*g**2 + 52*g - 4. Let t(n) = n**3 + 18*n**2 - 68*n + 5. Let u(m) = -5*o(m) - 4*t(m). Factor u(d).
-4*d*(d - 3)*(d + 1)
Let p(g) = -59*g**2 + 3*g - 371. Let t be p(24). Let m = -170767/5 - t. Let 432/5*v + 1/5*v**5 + 192/5*v**3 - m*v**2 - 23/5*v**4 + 1296/5 = 0. What is v?
-1, 6
Suppose 0 = -415*j + 5433 - 2113. Let r(v) be the third derivative of 0*v + 0 - j*v**2 - 1/24*v**4 + 2/15*v**3 + 1/300*v**5. Solve r(q) = 0.
1, 4
Let z(b) be the third derivative of -b**6/900 - 41*b**5/450 - 22*b**4/9 - 80*b**3/9 + 4840*b**2. Suppose z(o) = 0. Calculate o.
-20, -1
Let q(r) be the second derivative of -3/28*r**4 + 1/210*r**6 + 4/7*r**2 + 0 + 1/21*r**3 - 1/70*r**5 + 185*r. Let q(b) = 0. What is b?
-2, -1, 1, 4
Let g(c) be the third derivative of -c**7/735 + 9*c**6/140 + 29*c**5/105 - 1891*c**2. What is i in g(i) = 0?
-2, 0, 29
Let f be (-20)/(-35) - 0 - (-7341)/(-21). Let v = 1399/4 + f. Solve 27/4*j + v*j**3 - 3 - 9/2*j**2 = 0.
1, 4
Let f(i) be the first derivative of -i**3/12 - 3*i**2/2 + 7*i - 1672. What is d in f(d) = 0?
-14, 2
Suppose 3*i = 4*b - 36 + 4, -5*i + b = 25. Let c be (i/(-40)*-2)/(10/(-30)). Factor 0 + c*n**2 - 6/5*n + 3/5*n**3.
3*n*(n - 1)*(n + 2)/5
Determine o so that 53*o**4 + 266*o**3 + o**5 - 27370*o**2 - 28046*o**2 + 53361 + 43618*o**2 + 41349*o = 0.
-33, -1, 7
Suppose -16 - 31 = -4*h + z, 2*z = h - 3. Let x(k) be the first derivative of 2/25*k**2 - h - 2/75*k**3 + 0*k. Factor x(c).
-2*c*(c - 2)/25
Factor 120*a - 225 - 3 - 56*a + 4*a**2.
4*(a - 3)*(a + 19)
Let q(b) be the first derivative of 3*b**4/4 - 21*b**3 - 279*b**2 - 840*b + 6109. Let q(u) = 0. Calculate u.
-5, -2, 28
Let a(x) be the second derivative of -x**6/120 - 3*x**5/16 - 3*x**4/4 + 1751*x. Let a(t) = 0. What is t?
-12, -3, 0
Let u(y) = -136*y - 10200. Let s be u(-75). Determine l, given that 3/2*l**2 + s - 33/2*l = 0.
0, 11
Suppose 2*r - 33 = -0*l - 5*l, 15 = 5*r - l. Find n, given that 163*n + 21*n**2 - 117*n**2 + 84*n - 103*n - 44*n**3 - 4*n**r = 0.
-6, 0, 1
Let j(i) = i**3 + 15*i**2 + 27*i + 18. Let y be j(-13). Suppose 25*g - 42*g - 63*g**y - 28*g**2 + 228*g**4 + 16*g + 13*g - 109*g**3 = 0. Calculate g.
-1/3, 0, 2/7, 2/3, 3
Suppose 3*r = 4 + 14. Let a be (r/(-56))/(-15 + (-472)/(-32)). Find d, given that 0 + 0*d + 1/7*d**2 - a*d**3 + 2/7*d**4 = 0.
0, 1/2, 1
Let j(h) be the first derivative of 5*h**4/12 + 515*h**3/9 + 6500*h**2/3 - 13520*h/3 + 1228. Find v such that j(v) = 0.
-52, 1
Let s = -61529/2 - -30766. Find x, given that 0 - 18*x + s*x**4 - 15*x**3 - 69/2*x**2 = 0.
-1, 0, 12
Suppose 0 = 2*v + 4*y - 14, -6*v = -7*v - y + 5. Factor 178*j - 7*j**v - 63*j + 40*j**2 - 47*j - 56*j.
-j*(j - 6)*(7*j + 2)
Suppose -4*n + 6198*p - 6200*p = 0, 2*n - 16 = p. Factor 0 + 17*a**3 + 4913/3*a - 289*a**2 - 1/3*a**n.
-a*(a - 17)**3/3
Suppose 5 = -7*r + 19. Factor -35*f**3 + 25*f**4 - 14485*f - 20 + 15*f**5 + 14405*f - 84*f**2 - 21*f**r.
5*(f - 2)*(f + 1)**3*(3*f + 2)
Let r be -28*(63 + -28)/(-490). Factor 56/3*x - 392/3 - 2/3*x**r.
-2*(x - 14)**2/3
Let g(t) = -t**2 + 102*t - 105. Let c(q) = -10*q**2 + 920*q - 945. Suppose 17*l = 22*l - 175. Let o(f) = l*g(f) - 4*c(f). Factor o(d).
5*(d - 21)*(d - 1)
Determine q so that 11*q**2 - 3*q**5 - 397*q**4 - 25*q**2 - 40*q**2 + 409*q**4 + 9*q**3 = 0.
-2, 0, 3
Let r be 11/((-1716)/(-5241)) - 2/(-13). Factor -135/4*i - 45/4*i**2 - 5/4*i**3 - r.
-5*(i + 3)**3/4
Suppose 86 = 23*p + 39*p - 19*p. Let h(o) be the first derivative of o**3 + p*o + 5/2*o**2 - 8. Factor h(y).
(y + 1)*(3*y + 2)
Let a(d) be the first derivative of d**4/2 + 8*d**3 + 29*d**2 - 84*d + 928. Factor a(b).
2*(b - 1)*(b + 6)*(b + 7)
Let m = 737 - 812. Let n be -6*m/6*(-5)/(-15). Find f such that -1/4*f**2 - 5*f - n = 0.
-10
Let m be ((-8974)/10 - 0)/(297/(-594)). Let g = m + -1794. Find i such that -8/5*i**4 + 52/5*i + g*i**5 + 16/5*i**2 - 24/5*i**3 + 24/5 = 0.
-1, 2, 3
Let n(y) be the second derivative of y**4/9 + 122*y**3/3 + 1432*y**2/3 - 175*y + 18. Factor n(z).
4*(z + 4)*(z + 179)/3
Let k(o) be the first derivative of 5*o**3/6 + 40*o**2 - 170*o + 752. Factor k(g).
5*(g - 2)*(g + 34)/2
Let r(y) be the first derivative of y**6/54 + 4*y**5/45 - 4*y**4/3 + 110*y**3/27 - 97*y**2/18 + 10*y/3 - 30. Let r(u) = 0. What is u?
-10, 1, 3
Factor -3020*b - 3*b**2 + b**2 - 107738 - 20*b**2 - 348282 + 17*b**2.
-5*(b + 302)**2
Factor -3*u - 21/4*u**2 + 21 + 3/4*u**3.
3*(u - 7)*(u - 2)*(u + 2)/4
Let m(i) = 511*i + 7175. Let r be m(-14). Let v(w) be the third derivative of -1/300*w**5 + 0*w - r*w**2 + 0 - 1/15*w**3 + 1/40*w**4. Factor v(x).
-(x - 2)*(x - 1)/5
Let i(t) be the second derivative of -6*t**2 - 2*t + 2/3*t**4 + 20 - 1/3*t**3 - 1/10*t**5. What is j in i(j) = 0?
-1, 2, 3
Let d be ((-2)/(-5 - (-39)/9))/1. Factor 840*g**2 - 130*g**d + 5*g**4 - 13 - 852 + 20 + 130*g.
5*(g - 13)**2*(g - 1)*(g + 1)
Let o(g) = -2*g**3 - 11*g**2 - 6*g - 101. Let q be o(-9). Let v = -517 + q. Factor 3*j**v + 2*j + j**4 + 0 + 1/8*j**5 + 4*j**2.
j*(j + 2)**4/8
Let p(v) be the first derivative of -324*v**5/25 - 171*v**4 + 5456*v**3/15 - 952*v**2/5 + 192*v/5 - 330. Solve p(z) = 0 for z.
-12, 2/9, 1
Let v = 1/54292 - -81437/54292. Solve v*p - 8/5*p**2 + 1/10 = 0.
-1/16, 1
Suppose 1316*k - 644*k = 655*k. Determine y, given that -9/5*y**3 + 0*y + 0 + k*y**4 + 3/5*y**5 + 6/5*y**2 = 0.
-2, 0, 1
Let y = -442895/4 + 110724. Find o such that -y*o**2 - 1/2*o + 0 = 0.
-2, 0
Factor 2/9*o**2 - 2/9 + 2/9*o - 2/9*o**3.
-2*(o - 1)**2*(o + 1)/9
Let k(g) be the first derivative of -32*g**5/15 - 446*g**4/3 - 442*g**3/3 - 661*g**2/12 - 55*g/6 + 257. Factor k(m).
-(m + 55)*(4*m + 1)**3/6
Let z(w) be the first derivative of w**4/4 + 25*w**3/3 - 13*w**2 - 850. Factor z(q).
q*(q - 1)*(q + 26)
Factor 17*r**2 + 4*r**4 + 72*r - 41*r**3 + 9*r**3 + r**2 + 15*r**2 + 3*r**2.
4*r*(r - 6)*(r - 3)*(r + 1)
Let n = 468 + -358. Determine b, given that n + 64*b - 24*b - 75 + 5*b**2 = 0.
-7, -1
Let b(u) = -26*u**4 + 604*u**3 - 1342*u**2 - 676*u + 24. Let h(v) = -5*v**4 + 121*v**3 - 267*v**2 - 135*v + 5. Let t(y) = 5*b(y) - 24*h(y). Factor t(p).
-2*p*(p - 7)*(p - 5)*(5*p + 2)
Let w = -113483/2 + 56826. Factor w - 13*z + 1/2*z**2.
(z - 13)**2/2
Let i(v) be the second derivative of -v**6/15 + 76*v**5/5 - 75*v**4 + 448*v**3/3 - 149*v**2 - 1203*v. What is h in i(h) = 0?
1, 149
Factor -2013*l**2 - 2008*l**2 + 4022*l**2 + 1 - 2.
(l - 1)*(l + 1)
Let b = 243 - 238. Suppose 2*k - b*c + 12 = 0, 0*c = -3*k - 2*c + 20. Factor -5/2*z**3 - 1/2 - 3/2*z**2 + 5/2*z + 2*z**k.
(z - 1)**2*(z + 1)*(4*z - 1)/2
Suppose 1037*u - 8*u**2 - 2130 + 2168*u - 11*u**2 + 11*u**2 - 7*u**2 = 0. What is u?
2/3, 213
Let d be 2/(-5) + 1296/540. Let k(u) be the third derivative of 1/6*u**3 - 1/12*u**4 + 0 + 3*u**d + 1/60*u**5 + 0*u. Factor k(x).
(x - 1)**2
Factor -14/3*a**2 - 20*a + 0 + 2/3*a**3.
2*a*(a - 10)*(a + 3)/3
Let d(k) = 4*k**3 + 8*k**2 + 20*k - 24. Let u