 180. Let g(s) = 7*o(s) + 6*r(s). Factor g(i).
-5*(i - 9)*(i - 4)*(i - 1)**2
Determine z so that -112/11 + 52/11*z + 6/11*z**3 + 170/11*z**2 = 0.
-28, -1, 2/3
Let c be 943/21 - (1364/231 - 6). Let p be 72/c*(1 - 3/(-2)). Solve 1/7*a**5 - 2/7*a - 3/7*a**p + 3/7*a**2 + 1/7*a**3 + 0 = 0.
-1, 0, 1, 2
Let f(d) be the first derivative of d**4/12 + d**3/6 + 23*d - 44. Let r(w) be the first derivative of f(w). Factor r(b).
b*(b + 1)
Let y = -275026 + 275033. Find x such that -y*x**2 - 1/2*x**4 + 0 + 0*x + 9/2*x**3 = 0.
0, 2, 7
Suppose -51*w + 67*w = 0. Suppose w = 2*i - i + 4*h - 25, -3*h = 5*i - 40. Factor 8/9 + 2/9*v**2 - 2/9*v**4 - 16/9*v + 10/9*v**3 - 2/9*v**i.
-2*(v - 1)**3*(v + 2)**2/9
Let l = -106555/34 + 3134. Let u(n) be the first derivative of 4/51*n**3 - 4/17*n + 1/17*n**2 - l*n**4 - 10. Suppose u(t) = 0. Calculate t.
-1, 1, 2
Let d(q) be the third derivative of q**5/390 - 29*q**4/78 + 841*q**3/39 + 2*q**2 + 481. Factor d(c).
2*(c - 29)**2/13
Suppose 0 = 20*c + 162 - 222. Let s(u) be the first derivative of 9/5*u**2 - 10 + 8/5*u**c + 3/10*u**4 + 0*u. Factor s(j).
6*j*(j + 1)*(j + 3)/5
Let f(q) = -q**3 + 4*q**2 - 3*q + 5. Let v(w) = w**2 + 3*w - 1. Let n be v(-4). Let p be f(n). Factor -10*c**4 - 4*c**p - 5*c**4 - 6*c**5 + 9*c**4.
-2*c**4*(5*c + 3)
Let s = -692 + 2771/4. Let d(z) be the first derivative of 18 - 3/4*z**3 + 0*z - 3/16*z**4 - s*z**2. What is n in d(n) = 0?
-2, -1, 0
Let a be (1/(-4))/((-616)/352*(1 - 0)). Factor -a*j**2 - 400/7 - 40/7*j.
-(j + 20)**2/7
Find x such that 120/7*x**2 + 384/7 - 64*x + 32/7*x**3 + 2/7*x**5 - 18/7*x**4 = 0.
-3, 2, 4
Let l(h) be the second derivative of h**4/60 + 341*h**3/30 - 2*h - 366. Factor l(t).
t*(t + 341)/5
What is y in -174/11*y**3 - 1536/11*y + 3008/11 - 1300/11*y**2 + 2/11*y**4 = 0?
-4, 1, 94
Let j be (-14508)/(-1296) - (-17)/306. Factor 81/2*w - j*w**2 - 4*w**3 - 1/4*w**4 + 0.
-w*(w - 2)*(w + 9)**2/4
Let c(h) be the first derivative of -6*h**5/55 - 57*h**4/22 + 6*h**3/11 + 177*h**2/11 + 228*h/11 - 3028. What is z in c(z) = 0?
-19, -1, 2
Factor 88141*n**2 - 942*n**3 + 0*n**4 - 14194*n**2 + n**4 + 2*n**4.
3*n**2*(n - 157)**2
Factor 0 - 2/13*f**3 - 1152/13*f + 96/13*f**2.
-2*f*(f - 24)**2/13
Solve -8/3*y**3 + 24*y**2 + 2/3*y**5 - 6*y**4 + 0*y + 0 = 0 for y.
-2, 0, 2, 9
Factor 0 - 10/3*b + 3*b**2 + 1/3*b**3.
b*(b - 1)*(b + 10)/3
Let l(x) be the third derivative of -x**8/672 - 67*x**7/840 + 13*x**6/160 + 169*x**5/240 - 37*x**4/96 - 17*x**3/4 + 37*x**2 + 14. Solve l(c) = 0 for c.
-34, -1, 1, 3/2
Let o(y) be the second derivative of y**4/36 + 37*y**3/9 + 24*y**2 - 12290*y. Factor o(x).
(x + 2)*(x + 72)/3
Suppose -11*k = -31 - 24. Factor -710 + 2*r + 2*r**k - 2*r**4 + 1419 + 4*r**2 - 711 - 4*r**3.
2*(r - 1)**3*(r + 1)**2
Let r(m) be the second derivative of m**6/495 - 7*m**5/660 + m**4/44 + 7*m**3/2 + 2*m + 13. Let x(q) be the second derivative of r(q). Factor x(z).
2*(z - 1)*(4*z - 3)/11
Factor 15528*w**2 + 5*w**5 - 4*w**3 + 0*w - w - 15534*w**2 + 6*w**4.
w*(w - 1)*(w + 1)**2*(5*w + 1)
Let j = 314215/28 - 78538/7. Factor -j*g + 3/4*g**3 + 0 - 3/2*g**2.
3*g*(g - 3)*(g + 1)/4
Let w(a) = -54*a**2 - 61*a - 126. Let z(t) = 11*t**2. Let c(b) = w(b) + 5*z(b). Factor c(v).
(v - 63)*(v + 2)
Let b(z) be the first derivative of z**3/15 - 19*z**2/10 - 92*z/5 + 370. Find p, given that b(p) = 0.
-4, 23
Let j(w) be the first derivative of -201*w**4/26 + 1600*w**3/39 - 788*w**2/13 - 32*w/13 - 2673. What is n in j(n) = 0?
-4/201, 2
Let v be 19712/4312 + (-23)/28. Determine w so that 39/4*w - v*w**2 + 9/2 = 0.
-2/5, 3
Let u(z) be the second derivative of 1/30*z**6 + 13/10*z**5 + 6*z + 52*z**3 - 1 + 193/12*z**4 + 72*z**2. Suppose u(c) = 0. Calculate c.
-12, -1
Let z(q) be the second derivative of -q**5/16 + 65*q**4/16 - 465*q**3/8 - 1595*q**2/8 + 12167*q. Factor z(c).
-5*(c - 29)*(c - 11)*(c + 1)/4
Let k(i) be the third derivative of i**8/2352 + i**7/245 + i**6/84 - 11*i**4/168 - i**3/7 + 2*i**2 + 213*i. Find u, given that k(u) = 0.
-3, -2, -1, 1
Let s = 17728 - 17728. Factor s + 3/2*u**2 + 3/2*u**3 + 0*u.
3*u**2*(u + 1)/2
Let h(i) = -3*i**2 - 3554*i + 623047. Let u(j) = -55*j**2 - 60430*j + 10591800. Let m(p) = -35*h(p) + 2*u(p). Determine d, given that m(d) = 0.
353
Solve -685 + 11*s**3 + 675*s + 17*s**3 - 23*s**3 - 105*s**2 - 481 - 209 = 0 for s.
5, 11
Let y be (-50)/((-30)/(-3)) - -5. Suppose y = -21*o + 850 - 808. Factor 16 - 28*z + 1/4*z**4 - 13/4*z**3 + 15*z**o.
(z - 4)**3*(z - 1)/4
Determine c, given that 1094*c + 237 - 645 + 12*c**3 - c**5 + 136*c**4 - c**5 + 220*c**2 - 1052*c**2 = 0.
-3, 1, 68
Let u(a) be the first derivative of 350/3*a**2 - 1/3*a**5 - 5*a**4 + 74 + 245*a - 10*a**3. Let u(r) = 0. What is r?
-7, -1, 3
Factor 120*o**2 + 30*o - 222*o**2 - 100*o**2 + o**3 - 7*o + 178*o.
o*(o - 201)*(o - 1)
Let m(n) = 2*n**2 - n - 2. Let p(y) = -5345*y**2 + 13148*y - 8084. Let r(u) = -8*m(u) - p(u). Find a such that r(a) = 0.
90/73
Factor 0 + 5/2*y**5 + 95/2*y**4 - 50*y**3 + 0*y + 0*y**2.
5*y**3*(y - 1)*(y + 20)/2
Let c be (-60)/(-72) + (-42)/7 + 6. Let b(a) be the second derivative of 1/4*a**5 + 0 - 27*a + 15/2*a**2 - c*a**3 - 5/4*a**4. Solve b(x) = 0 for x.
-1, 1, 3
Let s(m) be the third derivative of 1/30*m**5 - 2*m + 0 + 1/60*m**6 + 24*m**2 + m**3 - 5/12*m**4. Find h, given that s(h) = 0.
-3, 1
Let y(t) = 3*t**3 - 39*t**2 - 66*t + 108. Let f(i) = 18 - 277 - 8*i**3 - 65 + 199*i + 116*i**2. Let b(s) = -6*f(s) - 17*y(s). Factor b(g).
-3*(g - 1)*(g + 6)**2
Let w(c) = 30*c + 195. Let u be w(-7). Let i be 12/u + 411/45. What is j in -125/6 - 5/6*j**2 - i*j = 0?
-5
Let y(z) be the third derivative of -2/189*z**8 - 19/135*z**5 + 0*z + 35 - z**2 + 8/189*z**7 + 17/108*z**4 - 1/540*z**6 - 2/27*z**3. What is a in y(a) = 0?
-1, 1/4, 1, 2
Let z(d) be the second derivative of -d**7/6300 - d**6/90 - 75*d**4/4 + d + 85. Let b(p) be the third derivative of z(p). Determine j, given that b(j) = 0.
-20, 0
Factor p**2 + 9*p**2 + 2*p**2 - 4*p**4 - p**4 + 8*p**2.
-5*p**2*(p - 2)*(p + 2)
Solve -188/5 + 96/5*d - 1/5*d**2 = 0 for d.
2, 94
Suppose 245/3 - 571/2*g + 203*g**2 + 5/6*g**3 = 0. What is g?
-245, 2/5, 1
Let g be (36/120)/(29/232). Suppose g*w - 6/5*w**3 + 0 + 14/5*w**2 = 0. What is w?
-2/3, 0, 3
Let r(a) = 16*a**3 - 34*a**2 - 74*a - 52. Let i(c) = -5*c**3 + 11*c**2 + 25*c + 17. Let z(p) = 7*i(p) + 2*r(p). Factor z(d).
-3*(d - 5)*(d + 1)**2
Let f(q) = q**4 - 26*q**3 + 236*q**2 - 394*q + 199. Let v(p) = 24*p**3 - 237*p**2 + 399*p - 198. Let u(g) = -3*f(g) - 4*v(g). Factor u(d).
-3*(d - 5)*(d - 1)**2*(d + 13)
Factor -35 - 5*g**2 - 125/3*g + 5/3*g**3.
5*(g - 7)*(g + 1)*(g + 3)/3
Let m(i) = 13*i - 1090. Let s be m(84). Let a(w) be the third derivative of 0*w**3 + 1/480*w**6 - 1/80*w**5 + 0*w**4 + 0 + 0*w - 8*w**s. Factor a(f).
f**2*(f - 3)/4
Let u(t) be the second derivative of -t**5/5 + 245*t**4/3 + 662*t**3 + 1494*t**2 + 737*t. Factor u(k).
-4*(k - 249)*(k + 1)*(k + 3)
Let x be (60/8 - 4)*4/2. Suppose -2*s - l + x = 2*l, -s + 4 = l. Factor -6*w**s + 4*w**2 - 4*w**4 + 2*w**5 + 16*w**3 - 12*w**3.
-4*w**2*(w - 1)*(w + 1)**2
Let l(r) be the third derivative of -13/18*r**4 - 3*r**2 + 1/90*r**6 + 1/9*r**5 - 6*r + 14/9*r**3 + 0. Let l(m) = 0. Calculate m.
-7, 1
Let w(y) = 2*y**3 - 52*y**2 - 219*y + 1307. Let c be w(29). Solve -4/7*u**c + 0*u + 0 - 20/7*u**3 - 16/7*u**4 = 0.
-1, -1/4, 0
Let u(a) be the third derivative of 0 - 95*a**2 + 0*a + 4*a**3 + 1/420*a**6 + 5/42*a**5 + 22/21*a**4. Factor u(v).
2*(v + 2)**2*(v + 21)/7
What is y in -2/7*y**5 - 4*y + y**4 + 30/7*y**3 + 5/7*y**2 - 12/7 = 0?
-2, -1, -1/2, 1, 6
Let s = 107692 + -753800/7. Determine m so that 23/7*m**4 - 8/7 - 165/7*m**2 + 106/7*m + s*m**3 = 0.
-4, 2/23, 1
Let m be (-617 + 610)/(7/(-3)). Factor -54/23 - 18/23*i**2 - 2/23*i**m - 54/23*i.
-2*(i + 3)**3/23
Suppose w - 4*b - 1 = -5, -b + 2 = 0. Factor -37*i**w - 56*i - 12*i**3 + 4*i**5 + 9*i**4 + 92*i**2 + 0*i**4.
4*i*(i - 7)*(i - 1)**2*(i + 2)
Suppose -2*o - 3*o - 4*k = -200, -o - k + 41 = 0. Let j = o - 32. Find c, given that -8*c**2 - j*c + 4 - 16*c**5 + 18*c**3 + 4*c**4 + 14*c**3 - 12*c = 0.
-1, 1/4, 1
Let z = 236497/177366 + -3/59122. Factor -10/9*o**2 + 46/9*o + z - 8/9*o**3.
-2*(o - 2)*(o + 3)*(4*o + 1)/9
Suppose -3 = -u, 17263 = -5*j - 5*u + 5338. Let b = j - -7228/3. Find i such that 32/3 + 16/3*i**3 + 16*i**2 