+ i*s**3 + 0*s - 15/7*s**2 + 0 - 3/7*s**5 = 0.
-5, 0, 1
Suppose 479 = -7*l + 689. Factor -l*u**2 - 27*u**2 + 60*u**2 + 72*u + 176 + 256.
3*(u + 12)**2
Let s be ((8/32)/((-70)/(-8)))/((-18)/(-7)). Let j(u) be the second derivative of 0 + 0*u**2 - s*u**6 + 7/36*u**4 - 1/30*u**5 - 2/9*u**3 + 26*u. Factor j(v).
-v*(v - 1)**2*(v + 4)/3
Let c(k) = 135*k + 135. Let p(g) = -g**3 - 36*g**2 - 127*g + 31. Let m be p(-32). Let f be c(m). Determine o, given that -2/3*o**2 + 8/3 + f*o = 0.
-2, 2
Let 341812 + 2*t**3 - 341812 - 280*t - 8*t**2 = 0. What is t?
-10, 0, 14
Let z(b) = 2*b**3 + 7*b**2 + 9*b + 50. Let t be z(-4). Let m be 5/3 - 1/(-3 - t). Factor -4/3*c - m - 1/6*c**2.
-(c + 4)**2/6
Let s(h) = -15*h + 87. Let p be s(5). Suppose 5*n**2 - 29*n + 17 - 6*n - p + 25 = 0. Calculate n.
1, 6
Let k(v) be the second derivative of 6*v**7/7 + 50*v**6 + 532*v**5/5 - 2660*v**4/3 + 4768*v**3/3 - 1280*v**2 - 4416*v. Suppose k(b) = 0. What is b?
-40, -4, 2/3, 1
Let s(a) be the first derivative of -3*a**3 + 15*a**2/2 + 24*a - 102. Let d(q) = -8*q**2 + 15*q + 23. Let z(n) = -6*d(n) + 5*s(n). Solve z(h) = 0 for h.
-1, 6
Suppose 5*v = 4*z - 17, 0 = -3*v - 1 - 2. Factor -63*f**2 + 0*f**3 + 3*f**z - 15*f - 15*f**3.
-3*f*(f + 5)*(4*f + 1)
Let c(f) = 3*f**2 - 54*f + 127. Let u(m) = 2*m**2 - 54*m + 127. Let k(p) = -5*c(p) + 4*u(p). Let t(s) = s**2 - 2*s + 1. Let a(r) = k(r) + 2*t(r). Factor a(y).
-5*(y - 5)**2
Suppose 550 = 202*z - 213*z. Let w be (-4 + (-170)/z)*10/(-2). Factor 6*c**4 - 9/2*c**w + 0*c**2 + 0*c + 0.
3*c**3*(4*c - 3)/2
Suppose -3*k = -3*w + 1 - 4, -5*w - 7 = -3*k. Let t(x) = 14*x**2 + 10*x + 34. Let d(j) = -j**2 + j - 1. Let u(v) = k*t(v) - 10*d(v). Factor u(l).
-4*(l + 2)*(l + 3)
Factor 30 + 128*x**2 - 45*x**3 + 29*x**4 - 20*x**4 - 23*x**2 - 95*x - 4*x**4.
5*(x - 6)*(x - 1)**3
Let j = -2 - 5. Let t be ((-4)/(-10))/(j/(-70)). Factor -t*a + 23*a + 2*a**2 + 200 + 14*a + 7*a.
2*(a + 10)**2
Let h be (-18)/15*25/(-15). Factor f**h + 4*f + f**2 - 6*f + 16 - 20.
2*(f - 2)*(f + 1)
Let d(f) be the third derivative of -f**5/20 + 49*f**4 - 19208*f**3 - 2927*f**2. Factor d(n).
-3*(n - 196)**2
Let r be ((-4048)/(-14168))/((-1)/108*-3). Find f such that -r*f - 90/7*f**3 + 132/7*f**2 - 3/7*f**5 + 27/7*f**4 + 0 = 0.
0, 2, 3
Suppose -6306*a**2 - 1345*a + 3165*a**2 + 97 - 367 + 3166*a**2 = 0. What is a?
-1/5, 54
Let c(h) = -34*h - 108. Let l be c(-4). Determine m so that -5*m - 2*m + 3*m**2 - l*m + 2*m**2 = 0.
0, 7
Suppose -2*j + j - 2*r = 6, -5*j = 3*r + 2. Suppose -v = j*u + 2, 4*u = -3*v + 7*u + 30. Let v*x**4 - 10*x**3 + 4*x**2 - 2 + 5 - 3 = 0. What is x?
0, 2/3, 1
Factor -184*w - 2*w**4 + 17995*w**3 - 4*w**2 + 17989*w**3 - 35962*w**3 + 240.
-2*(w - 10)*(w - 2)**2*(w + 3)
Suppose 15*h + 4 = 49. Factor -42*q**3 - 3*q**5 + 82*q**4 - 70*q**4 + 33*q**h.
-3*q**3*(q - 3)*(q - 1)
Suppose 0 = 44*f - 111*f - 158 + 493. Let 5/2*y + f*y**3 - 3/2 - 47/2*y**4 - 15/2*y**5 + 25*y**2 = 0. What is y?
-3, -1, -1/3, 1/5, 1
Suppose -675 = -6*h - 663. Solve 694*p**h - 692*p**2 - 19*p - 4*p - 11*p + 8*p = 0.
0, 13
Suppose 8 = -24*v + 20*v, -4*v = -2*c + 14. Suppose 6*g - 21 + c = 0. Solve -1/3*j**g + 0 + 5/3*j**2 - 1/3*j**4 - j = 0 for j.
-3, 0, 1
Let u(i) = i**3 + 11*i**2 - 29*i - 202. Let k be u(-12). Factor 28*x + 1/2*x**k + 392.
(x + 28)**2/2
Let h be (-2)/3 - 7/((-105)/880). Let m be (-168)/(-35) + -4 - h/85. Factor -2/17*q + 12/17*q**3 + 0 - m*q**2.
2*q*(2*q - 1)*(3*q + 1)/17
Let z(u) be the second derivative of u**4/8 - 70*u**3 - 3*u + 275. Factor z(q).
3*q*(q - 280)/2
Let i(g) be the first derivative of g**6/12 - g**4/4 + g**2/4 + 1194. Factor i(w).
w*(w - 1)**2*(w + 1)**2/2
Let l(g) be the third derivative of -g**6/60 - g**5/10 + 11*g**4/4 + 35*g**3/3 - 1481*g**2. Factor l(i).
-2*(i - 5)*(i + 1)*(i + 7)
Suppose -16*u = -34 - 62. Factor 71*t**2 - 60*t - 4*t**4 - u*t**2 - t**4.
-5*t*(t - 3)*(t - 1)*(t + 4)
Let d(j) be the second derivative of j**5/90 + 29*j**4/54 + 184*j**3/27 + 112*j**2/3 - 11*j + 25. Factor d(t).
2*(t + 4)**2*(t + 21)/9
Let a(r) = -r**4 + r**3 - r. Let f(h) = 3 + 4*h**4 - 7*h**3 + 8*h**3 + 2 - 77*h + 76*h - 6*h**2. Let z(b) = -6*a(b) - 2*f(b). Let z(t) = 0. What is t?
-5, -1, 1
Let l be ((-18)/50)/((-597)/995). Let y(g) = g + 2. Let v be y(0). Factor -48/5 - l*f**v + 24/5*f.
-3*(f - 4)**2/5
Let i(d) be the third derivative of d**6/180 - 11*d**5/60 - 13*d**4/6 + 13*d**3/2 + 24*d**2 - 1. Let m(k) be the first derivative of i(k). Factor m(n).
2*(n - 13)*(n + 2)
Solve -2/9*j**2 - 320000/9 - 1600/9*j = 0 for j.
-400
Let j be (-19)/(-6) - 63/378. Suppose n + 2*h = -2, 2*h + 10 = 4*n - n. Factor -9*o**5 - 3 - o**4 + 3 + 8*o**5 + n*o + j*o**3 + 5*o**2.
-o*(o - 2)*(o + 1)**3
Let 72357/4*i + 73441/2 - 135*i**2 + 1/4*i**3 = 0. What is i?
-2, 271
Let k(g) be the second derivative of -2*g**6/15 + 42*g**5/5 - 75*g**4 + 216*g**3 - 104*g. Suppose k(d) = 0. What is d?
0, 3, 36
Let h(l) be the first derivative of -160 + 4/3*l**3 - 72*l**2 - 148*l. What is b in h(b) = 0?
-1, 37
Factor 178/5*l + 2/5*l**2 + 516/5.
2*(l + 3)*(l + 86)/5
Solve 4/3*p**2 + 0 - 2/9*p**3 + 14/9*p = 0 for p.
-1, 0, 7
Let q(b) = 39*b**3 + 210*b**2 - 249*b - 81. Let w(u) = 3*u**3 + 16*u**2 - 19*u - 6. Let a(k) = -2*q(k) + 27*w(k). Determine p so that a(p) = 0.
-5, 0, 1
Suppose t - 2*p - 16 = 0, 5*p + 3 = t - 7. Suppose -f**2 - 12*f**3 + t*f**3 + 4*f - 2*f**4 - 9*f**2 = 0. What is f?
0, 1, 2
Let p(q) be the second derivative of q**4/20 + 33*q**3/5 + 972*q**2/5 + 15*q + 69. Determine s so that p(s) = 0.
-54, -12
Suppose 0 - 9 = -g. Let v be (-18)/14 - 330/(-77). Factor 533 - g*u**2 - 533 - v*u**3.
-3*u**2*(u + 3)
Let d(j) be the first derivative of 4*j**3/3 - 9*j**2 - 70*j + 770. Solve d(b) = 0 for b.
-5/2, 7
Let x = -585196 - -585201. Determine z, given that 16*z**4 - 432/13*z**3 + 388/13*z**2 - 34/13*z**x + 12/13 - 142/13*z = 0.
2/17, 1, 3
Let 4416/5*w - 9216/5 + 336/5*w**2 - 468/5*w**3 - 3/5*w**5 + 15*w**4 = 0. What is w?
-3, 4, 16
Let y(r) = -11*r**2 + 160*r + 298. Let z(c) = -30*c**2 + 480*c + 904. Let q(v) = 8*y(v) - 3*z(v). Suppose q(u) = 0. Calculate u.
-2, 82
Determine y so that -374 + 228*y + 14*y**2 - 422*y + 74*y = 0.
-17/7, 11
Let k be (-24)/32 - 129/(-12) - -4. Suppose -v - k = -t - 11, -5*v - 15 = 2*t. Factor 2/17*b**2 - 8/17 + t*b.
2*(b - 2)*(b + 2)/17
Factor -124416 + 8*j**3 - 63936*j - 11*j**3 + 0*j**3 + 179*j**2 - 1049*j**2.
-3*(j + 2)*(j + 144)**2
Solve 173/2*c**3 - 3/5*c**4 - 433/10*c - 29 + 364/5*c**2 = 0 for c.
-1, -1/2, 2/3, 145
Let g(n) be the first derivative of -n**4/22 + 626*n**3/33 - 1970. Solve g(c) = 0.
0, 313
Let s(b) be the first derivative of -b**4/6 + 52*b**3/9 + b**2/3 - 52*b/3 + 747. Let s(q) = 0. What is q?
-1, 1, 26
Let o = 111846 - 111843. Determine a so that -2/19*a**o + 0 - 4/19*a - 6/19*a**2 = 0.
-2, -1, 0
Let i(o) = -o**4. Suppose -32*w + 30*w = -8. Let r(a) = -a**4 + 50*a**3 - 145*a**2 + 160*a - 60. Let h(l) = w*i(l) + r(l). Factor h(z).
-5*(z - 6)*(z - 2)*(z - 1)**2
Let l(g) be the first derivative of 1/2*g**3 + 3/16*g**4 - 78 + 0*g - 3*g**2. Suppose l(p) = 0. What is p?
-4, 0, 2
Let q(m) be the second derivative of -m**7/20160 + m**6/1440 + m**4/6 + 8*m**3/3 - 36*m. Let r(n) be the third derivative of q(n). Solve r(d) = 0 for d.
0, 4
Let q(j) be the first derivative of -j**4/6 + 154*j**3/9 - 392*j**2 - 8232*j + 1667. Solve q(l) = 0 for l.
-7, 42
Let h(s) be the first derivative of -s**3/15 - 933*s**2/10 + 3576. Factor h(j).
-j*(j + 933)/5
Let f(o) be the third derivative of o**7/1785 + o**6/68 + 7*o**5/255 - 1015*o**2. Factor f(k).
2*k**2*(k + 1)*(k + 14)/17
Let p be (-18)/(-5 + (-111)/(-10) + -6). Let j = -178 - p. Factor 10/9*i + 4/3*i**j - 2/9.
2*(i + 1)*(6*i - 1)/9
Determine j, given that 2/11*j**5 + 8190/11*j**3 + 254/11*j**4 + 7938/11*j**2 + 0*j + 0 = 0.
-63, -1, 0
Find v, given that -533 + 1/2*v + 533*v**2 - 1/2*v**3 = 0.
-1, 1, 1066
Let f(y) be the first derivative of 35*y**3/3 - 425*y**2/2 - 2890*y + 7600. Determine q, given that f(q) = 0.
-34/7, 17
Let l = 94 + -96. Let r be 21/2 - l/(-4). Factor -2 - 8*h + 0*h - r*h**2 + 8 - 4.
-2*(h + 1)*(5*h - 1)
Let x(l) be the second derivative of -l**5/20 + 11*l**4/2 - 475*l**3/2 + 5000*l**2 - 3923*l. Suppose x(h) = 0. Calculate h.
16, 25
Factor -202*t**3 + 7776 + 8*t**4 + 3174*t**2 - 2651*t - 6*t**4 + 50*t**3 - 8149*