 Let f = 1013/420 - b. Solve f*n + 0 + 3/5*n**2 = 0 for n.
-4, 0
Suppose -27*x**4 - 147 - 3/2*x**5 - 819/2*x - 165*x**3 - 402*x**2 = 0. What is x?
-7, -2, -1
Let l(i) = i**3 + i**2 + i. Let t(z) = -z**3 + 79*z**2 + 475*z + 400. Let c(p) = -p**2 + 10*p + 6. Let k be c(11). Let o(w) = k*l(w) - t(w). Solve o(y) = 0.
-10, -1
Let z = -165/127 + 1739/1143. Let i(r) be the second derivative of z*r**4 + 1/2*r**3 - 1/9*r**6 + 20*r + 0 + 1/3*r**2 - 1/42*r**7 - 1/10*r**5. Solve i(d) = 0.
-2, -1, -1/3, 1
Let d be 55*9/45 + 1. Suppose -d*g + 339 = 291. Determine h so that 1/2*h + 3/2*h**3 + 0 + 1/2*h**g + 3/2*h**2 = 0.
-1, 0
Let v be ((-18)/(-270))/((-6)/(-18)*-1)*-15. Solve -112/3*d + 4/3*d**4 + 0 - 4*d**v - 32*d**2 = 0 for d.
-2, 0, 7
Let r(d) be the second derivative of -d**5/80 - d**4/16 - d**3/12 - 3*d - 314. Factor r(u).
-u*(u + 1)*(u + 2)/4
Let f(q) be the first derivative of -q**3 - 75*q**2/2 - 450*q - 3765. Solve f(n) = 0 for n.
-15, -10
Let w(y) = -13*y**3 - 539*y**2 + 953*y. Let g(v) = 6*v**3 + 259*v**2 - 476*v. Let i(f) = -11*g(f) - 5*w(f). Determine x, given that i(x) = 0.
-157, 0, 3
Let y be (-7)/((-25)/(6600/682) - 3/(-12)). Solve -1/4*d**4 - 35/4*d**2 - 49/4*d + 0 + 13/4*d**y = 0.
-1, 0, 7
Let i(v) = v**2 + 782*v - 657. Let m(n) = -12*n - 2. Let r(h) = i(h) + 9*m(h). What is d in r(d) = 0?
-675, 1
Let k be (-5)/10 - ((-56)/16 - -3). Suppose k = -55*p - 0 - 0. Factor -25/3*u**5 + 12*u**3 + 8/3*u**2 + 10*u**4 + p*u + 0.
-u**2*(u - 2)*(5*u + 2)**2/3
Suppose -2*h - 7289 = u, h - 5*u + 18260 = -4*h. Let y = h - -18321/5. Determine o so that -y*o**2 + 8/5 + 16/5*o + 24*o**4 - 58/5*o**3 = 0.
-2/3, -1/4, 2/5, 1
Let l(k) be the first derivative of -k**3/2 - 441*k**2/4 - 1470*k + 444. Factor l(m).
-3*(m + 7)*(m + 140)/2
Let o be (2510/(-1025) - -3) + ((-570)/(-615))/19. Determine r so that -1/5*r + 0 + 4/5*r**2 - o*r**3 = 0.
0, 1/3, 1
Let q be (24/(-8))/(72/(-32)). Solve q*b**3 + 44/3*b - 8*b**2 - 8 = 0 for b.
1, 2, 3
Let b(l) = -2*l**3 - 5*l - 3. Let m be b(-2). Suppose 0 = -m*g + 51 + 18. Factor -3/2*f**4 - 3/2*f**5 - 3/2 + 3*f**3 - 3/2*f + g*f**2.
-3*(f - 1)**2*(f + 1)**3/2
Let h = -46762 - -46796. Factor -2/17*f**2 - h + 4*f.
-2*(f - 17)**2/17
Let l(f) be the third derivative of -f**6/1020 + 31*f**5/510 + f**4/204 - 31*f**3/51 - 324*f**2 + 3. Factor l(v).
-2*(v - 31)*(v - 1)*(v + 1)/17
Let i be 18144/(-25200)*(-10)/3. Determine a so that -4/5*a**5 + 12/5*a**2 + 8/5*a - i*a**4 + 0 - 4/5*a**3 = 0.
-2, -1, 0, 1
Let r(s) be the first derivative of 4*s**3/21 + 24*s**2/7 - 52*s/7 - 2474. Factor r(f).
4*(f - 1)*(f + 13)/7
Suppose -4*y - 19 = -27. Suppose 3*i + l - 17 = -y*i, -3*l + 6 = 0. Suppose 5*b**2 + i*b - 12 + 34*b**3 - 33*b**3 + 3 = 0. What is b?
-3, 1
Let o(h) = 170*h**3 - 4045*h**2 + 22750*h - 40010. Let x(a) = a**4 - 85*a**3 + 2022*a**2 - 11375*a + 20006. Let k(l) = 3*o(l) + 5*x(l). Let k(t) = 0. What is t?
-32, 5
Let m(y) be the third derivative of 0 + 7/16*y**4 + 0*y - 27/16*y**3 - 1/160*y**5 + 229*y**2. Factor m(a).
-3*(a - 27)*(a - 1)/8
Let y(z) be the first derivative of -z**4/66 + 7*z**3/33 - 10*z**2/11 - 107*z + 86. Let m(i) be the first derivative of y(i). What is u in m(u) = 0?
2, 5
Let h(c) = -26*c**2 + 262*c - 264. Let f(w) = 19*w**2 - 262*w + 264. Let p(x) = 4*f(x) + 3*h(x). Factor p(y).
-2*(y - 1)*(y + 132)
Let w be 176/3 + (-175)/105. Factor 11*u**4 + 24*u**5 - w*u**3 - 4*u - 5*u**5 - 10*u + 18*u**3 + 41*u**2 - 18*u**5.
u*(u - 1)**3*(u + 14)
Let i(d) be the second derivative of -d**7/42 + 7*d**6/10 - 38*d**5/5 + 35*d**4 - 48*d**3 - 1192*d + 3. Factor i(s).
-s*(s - 8)*(s - 6)**2*(s - 1)
Suppose 891*l - 3208 + 273 = -262. Find p such that -3*p**2 + l*p**4 + 0 - 4*p**3 - 1/2*p**5 + 9/2*p = 0.
-1, 0, 1, 3
Suppose -177 + 30*m**3 - 7*m**3 + 2337 + 3*m**3 + 7980*m + 9*m**3 + 1480*m**2 = 0. What is m?
-36, -6, -2/7
Let j be -60*((15/3 - 17) + 13500/1215). Factor 1600/3 + j*o + 4/3*o**2.
4*(o + 20)**2/3
Let w(c) = 3*c**2 - 9*c - 4. Let z be w(4). Let p be z + 12/(15/(-5)). Factor -475*b**p + 48*b**3 - 375*b**3 - 147*b**5 + 97*b**4 - 108*b**2 - 12*b.
-3*b*(b + 1)**2*(7*b + 2)**2
Let v(j) be the second derivative of -j**7/63 + j**6/9 + 19*j**5/10 + 11*j**4/2 + 1191*j. Factor v(z).
-2*z**2*(z - 11)*(z + 3)**2/3
Let a(n) be the second derivative of -n**7/28 + n**6/60 + n**5/20 - 3*n + 835. Determine x so that a(x) = 0.
-2/3, 0, 1
Let f(w) be the first derivative of -1/9*w**3 - 1600/3*w - 40/3*w**2 + 34. Factor f(l).
-(l + 40)**2/3
Factor -10/3*r**2 - 11/3*r + 0 + 1/3*r**3.
r*(r - 11)*(r + 1)/3
Let p(f) be the third derivative of f**6/80 - 23*f**5/10 - 187*f**4/16 - 47*f**3/2 + 350*f**2. Factor p(s).
3*(s - 94)*(s + 1)**2/2
Let j(w) be the second derivative of 3*w**4/2 - 79*w**3/9 - 2*w**2 - 487*w. Factor j(g).
2*(g - 3)*(27*g + 2)/3
Let y = 75/13414 + 3316/6707. Suppose -3*m - y*m**2 + 27/2 = 0. What is m?
-9, 3
Let l(h) be the second derivative of -h**7/6300 + 7*h**6/600 - h**5/15 + 7*h**4/3 - 70*h. Let f(k) be the third derivative of l(k). Let f(o) = 0. Calculate o.
1, 20
Let v(u) be the first derivative of 2*u**3/3 + 2*u + 107. Let x(b) = 16*b**2 + 16*b + 68. Let y(z) = -10*v(z) + x(z). Solve y(j) = 0.
-2, 6
Let k be 1/3*(-21)/(-70). Let o(i) be the second derivative of 1/50*i**5 + k*i**4 + 0 + 1/5*i**3 + 1/5*i**2 + 27*i. Find n, given that o(n) = 0.
-1
Let r = 594 + -598. Let b be r/8*(6 - 7). Factor -1/2*d**5 + 0*d**2 + 0*d - b*d**4 + 0 + 0*d**3.
-d**4*(d + 1)/2
Suppose -t - r + 8 - 1 = 0, 0 = -t - 5*r + 27. Factor 24*s**3 + 30 - 6*s**3 - 8*s**3 - 55*s - 5*s**3 + 4*s**t + 16*s**2.
5*(s - 1)**2*(s + 6)
Let b = -23093 - -23095. Let d = 709/585 + 2/195. Let 4 - 2/9*h**3 + 1/9*h**4 - d*h**b + 4/3*h = 0. What is h?
-2, 3
Let v(y) be the second derivative of -y**6/15 + 23*y**5/10 - 17*y**4 + 2*y - 2153. Let v(w) = 0. Calculate w.
0, 6, 17
Let c(f) be the third derivative of 0 - 1/84*f**6 - 25/42*f**3 + 0*f + 1/1470*f**7 + 5/84*f**4 + 2/35*f**5 + 105*f**2. Factor c(k).
(k - 5)**2*(k - 1)*(k + 1)/7
Let f(m) be the second derivative of -m**6/270 - m**5/180 + 5*m**4/54 + 2*m**3/27 - 4*m**2/3 - 3*m + 40. Factor f(a).
-(a - 2)**2*(a + 2)*(a + 3)/9
Let u be 0/(-2) - -5 - 834/(-3). Let p = 283 - u. Factor p*i + 2/3*i**2 - 2/3.
2*(i - 1)*(i + 1)/3
Let v(c) be the third derivative of c**5/570 - 355*c**4/114 + 126025*c**3/57 + c**2 + 3122. Find i such that v(i) = 0.
355
Let p(z) = 105*z**2 - 340*z + 27548. Let l(b) = -118*b**2 + 341*b - 27547. Let n(d) = 8*l(d) + 9*p(d). Find i, given that n(i) = 0.
166
Let w(x) be the second derivative of -x**4/4 + 2*x**3 + 18*x**2 + 3230*x. Factor w(v).
-3*(v - 6)*(v + 2)
Let t(b) be the first derivative of -b**3/15 - 13*b**2/10 + 14*b/5 + 5031. Factor t(k).
-(k - 1)*(k + 14)/5
Let v(d) be the first derivative of 3*d**5/25 - 31*d**4/20 - 374*d**3/15 - 368*d**2/5 + 288*d/5 - 16. Suppose v(y) = 0. What is y?
-4, 1/3, 18
Suppose -5 - 10 = -5*r. Let -1149*j**5 + 4*j**r + 570*j**5 + 575*j**5 + 4*j**2 - 4*j**4 = 0. What is j?
-1, 0, 1
Let y(f) be the second derivative of -f**7/294 + 4*f**6/35 - 101*f**5/140 + 55*f**4/42 + 2*f**3 - 76*f**2/7 + 107*f - 1. Determine q, given that y(q) = 0.
-1, 2, 19
Factor 530/7*s + 262/7*s**2 + 38 - 2/7*s**3.
-2*(s - 133)*(s + 1)**2/7
Let q = 54 - 54. Let v(a) be the third derivative of 1/60*a**5 - 1/15*a**4 - 5*a**2 - 1/600*a**6 + 0*a + q + 2/15*a**3. Let v(b) = 0. Calculate b.
1, 2
Let d(v) be the second derivative of -3*v**5/5 - 37*v**4/18 - 2*v**3/9 - 4729*v. Factor d(z).
-2*z*(z + 2)*(18*z + 1)/3
Solve -202/7*p**2 - 2/7*p**3 - 398/7*p - 198/7 = 0.
-99, -1
Let v(d) = -d**2 - 8*d + 51. Let x(a) = -2*a + 1. Let r(t) = 5*v(t) - 15*x(t). Solve r(z) = 0 for z.
-8, 6
Factor 4*d**3 + 4 + 8235*d - 3 - 3483*d - 1 + 336*d**2.
4*d*(d + 18)*(d + 66)
Let q be 3/(-9) + 20/6. Factor -17424*c - 529*c**2 - 255552 + 15*c**3 + 133*c**2 - 7*c**3 - 5*c**q - 6*c**3.
-3*(c + 44)**3
Let q(h) = -5*h**2 - 33*h - 14. Let t(m) = 5*m**2 + 34*m + 12. Let r(o) = -6*q(o) - 7*t(o). Let s(n) = n**2 - n. Let p(v) = r(v) - 20*s(v). Factor p(u).
-5*u*(5*u + 4)
Factor -252 - 3/2*q**2 + 39*q.
-3*(q - 14)*(q - 12)/2
Let v(d) be the first derivative of 3*d**4/20 + 21*d**3/5 + 117*d**2/10 + 57*d/5 + 4010. What is n in v(n) = 0?
-19, -1
Let 4 - 100*f + 55*f - 31*f + 4104*f**3 + 11664*f**4 - 71*f**2 = 0. What is f?
-1/4, 2/27
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