q. Suppose i(x) = 0. Calculate x.
-6, 2
Suppose 227 = -4*x + 3*t, -5*x + 6*t - 283 = 3*t. Let p be (-564)/(-987) - 11*(-1)/x. Factor 0*s - p*s**4 + 3/4*s**3 + 0 - 3/8*s**2.
-3*s**2*(s - 1)**2/8
Let x be (-42)/(-2) + (93 - 72). Let o(f) be the first derivative of 1/10*f**4 - 64/5*f - 4/3*f**3 + 32/5*f**2 + x. Solve o(n) = 0 for n.
2, 4
Let i be (-31)/3 - (399/(-21) - -8). Let q(c) be the second derivative of -1/6*c**4 + i*c**3 + 0 - 1/10*c**5 + 0*c**2 + 29*c. Factor q(k).
-2*k*(k - 1)*(k + 2)
Suppose u = -6*u + 56. Let v(y) = -3*y + 26. Let g be v(u). Let 7*w**g - 4*w**2 + 2*w - 8*w - 20 + 23 = 0. Calculate w.
1
Factor -735*h**2 - 2637*h**2 + 1895064*h - 76457624 + 23*h**3 - 21*h**3 - 206495298 - 72055734.
2*(h - 562)**3
Let q(v) = 35*v + 282. Let f be q(-8). Let k(z) be the first derivative of -14 + 8/51*z**3 + 1/34*z**4 + 0*z + 4/17*z**f. Determine t, given that k(t) = 0.
-2, 0
Suppose 0 = -119*j - 180 + 109 + 309. Factor -2*k + 2/3*k**j + 4/3.
2*(k - 2)*(k - 1)/3
Let a = 175 + -173. Suppose 10*u**4 - 47*u**2 + 0*u - 4*u + 4*u**5 + 0*u + 0*u + 37*u**a = 0. Calculate u.
-2, -1, -1/2, 0, 1
Suppose 0 = 2*q - 2*n - 4, 4*q - 5*n = -0 + 10. Suppose 0 = -22*s + 52*s + 170*s. Factor s*a**2 + q + 1/7*a**3 - 4/7*a.
a*(a - 2)*(a + 2)/7
Suppose 42*i = 59*i - 29*i. Let t(n) be the third derivative of 0*n - 15*n**2 + i*n**4 - 1/6*n**3 + 1/60*n**5 + 0. Find x such that t(x) = 0.
-1, 1
Let w be ((-81)/(-117))/((-1050)/(-5200)). Suppose w*b + 0 - 2/7*b**2 - 1/7*b**3 = 0. What is b?
-6, 0, 4
Find b, given that -98/9*b**3 - 6*b**2 + 0 - 2/9*b**5 + 6*b**4 + 100/9*b = 0.
-1, 0, 1, 2, 25
Find l such that 19600/13 + 242/13*l**3 + 15960/13*l + 3564/13*l**2 = 0.
-70/11, -2
Let p be ((-272)/(-12))/((-2)/12). Let n be (-22)/(-18) + -1 + p/(-36). Factor 4 - n*h**3 - 4*h**2 + 0*h**3 + 5*h + 2*h - 3*h.
-4*(h - 1)*(h + 1)**2
Let v(h) be the third derivative of -h**7/42 + 703*h**6/24 - 27495*h**5/2 + 5407155*h**4/2 - 10677420*h**3 + 192*h**2 + 6. Solve v(j) = 0.
1, 234
Suppose 5/3*u**3 - 16*u + 1/3*u**4 - 8/3*u**2 + 0 = 0. Calculate u.
-4, 0, 3
Solve -2/7*a**3 + 26/7*a**2 + 144/7 + 172/7*a = 0 for a.
-4, -1, 18
Let q = -172 - -176. Factor 20*o**3 + 194*o**2 - 99*o**2 - 87*o**2 + 8*o**q.
4*o**2*(o + 2)*(2*o + 1)
Let c(y) = -8*y**4 - 142*y**3 - 1110*y**2 - 3218*y - 3043. Let r(n) = n**4 - n**3 + 6*n + 1. Let v(f) = c(f) + 3*r(f). Factor v(t).
-5*(t + 2)*(t + 4)**2*(t + 19)
Suppose r + 2*i = 121, -6*i + 224 = 2*r - 11*i. Let u be (7 - 822/r)*-6. Factor u*t**2 + 0 - 2/13*t.
2*t*(t - 1)/13
Let d(g) be the second derivative of 3/80*g**5 + 0 - 3/2*g**3 + 0*g**2 + 309*g + 1/16*g**4. Factor d(m).
3*m*(m - 3)*(m + 4)/4
Let l be (-7668)/1491*(-14)/52. Determine b, given that -4/13 + l*b - 8/13*b**2 = 0.
1/4, 2
Let j be 12/(-216)*6 - (-50)/(-3). Let b(i) = -7*i - 117. Let v be b(j). Factor 10/13*m**3 + 0 - 2/13*m**4 - 6/13*m**v - 18/13*m.
-2*m*(m - 3)**2*(m + 1)/13
Let x(s) = 35*s**3 - 1760*s**2 - 149285*s + 961190. Let p(g) = 2*g**3 + 9*g - 2. Let v(u) = -20*p(u) + x(u). Find k such that v(k) = 0.
-179, 6
Let f(k) be the second derivative of 31/5*k**5 + 0 + 27*k**4 + 54*k**3 + 54*k**2 + 8/15*k**6 + 141*k. Factor f(p).
4*(p + 1)*(p + 3)**2*(4*p + 3)
Let p(j) be the first derivative of j**5/45 + 11*j**4/36 - 86*j**3/27 - 16*j**2/3 - 336. Factor p(l).
l*(l - 6)*(l + 1)*(l + 16)/9
Let n(d) be the second derivative of d**6/5 + 73*d**5/10 - 593*d**4/6 + 827*d**3/3 - 310*d**2 - 13218*d. Find f, given that n(f) = 0.
-31, 2/3, 1, 5
Let u(v) be the third derivative of 7*v**6/160 - 5*v**5/4 + 119*v**4/32 - 13*v**3/4 + 27*v**2 - 26. Solve u(n) = 0 for n.
2/7, 1, 13
Let l = 815392/174727 + 2/524181. Suppose -l*z**2 + 4*z + 0 = 0. Calculate z.
0, 6/7
Suppose -237*s + 88*s = -298. Suppose -9 = -3*i + 3*c, -7*i - 3*c = -8*i + 3. Let 1/2*l**i - 3/2*l + 0*l**s - 1 = 0. Calculate l.
-1, 2
Let x(t) be the second derivative of 1 + 12*t**3 + 30*t + 0*t**2 + 7/5*t**5 - 25/3*t**4. Let x(y) = 0. What is y?
0, 1, 18/7
Let r be (-12)/(-1) + (-16 - -16) + 6. Let l(w) be the first derivative of -1/25*w**5 + 1/5*w**4 - r + 1/5*w**2 - 1/3*w**3 + 0*w. Factor l(q).
-q*(q - 2)*(q - 1)**2/5
Let p be -1*5*(-1 - (-2)/10). Suppose p*m = 9*m - 120. Factor 18*c**4 - m*c**4 - 9*c**2 + 3*c**2 + 15*c**3.
-3*c**2*(c - 2)*(2*c - 1)
Suppose -60*b - 79*b + 123*b = 0. Factor -2/21*a**4 + b + 16/21*a - 34/21*a**2 + 20/21*a**3.
-2*a*(a - 8)*(a - 1)**2/21
Factor 16504*u - 8236*u + 991 - 5*u**3 + 909 - 475*u**2 - 8248*u.
-5*(u - 2)*(u + 2)*(u + 95)
Let r(i) be the second derivative of 3*i - 2*i**2 + 7/9*i**3 - 1/18*i**4 - 2. Factor r(g).
-2*(g - 6)*(g - 1)/3
Suppose -3364/3 + 435/2*c - 11*c**2 + 1/6*c**3 = 0. Calculate c.
8, 29
Let q(b) be the first derivative of 9*b**6/2 + 4113*b**5/5 - 5547*b**4/2 + 3402*b**3 - 3717*b**2/2 + 465*b - 2076. Solve q(m) = 0 for m.
-155, 1/3, 1
Let d(s) = -s**2 + 110*s + 2020. Let x be d(126). Let -10/3*j + x - 2/3*j**2 = 0. Calculate j.
-6, 1
Factor -5*b - 5/2*b**2 + 175/2.
-5*(b - 5)*(b + 7)/2
Suppose -3*r = -5*i - 34, -2*i = 5*r - 8*r + 19. Let q(v) be the first derivative of -4 - 2/21*v**r + 5/7*v**2 - 8/7*v. Find m, given that q(m) = 0.
1, 4
Let l(m) = -11*m**2 - 17*m**2 - 10 - 17*m**2 - 126*m + 49*m**2. Let r(t) = -5*t - 1. Let k(g) = l(g) - 10*r(g). Solve k(i) = 0.
0, 19
Let p(r) be the second derivative of r**6/225 + 134*r**5/75 + 9623*r**4/45 + 11524*r**3/3 + 27735*r**2 + 77*r + 25. Factor p(u).
2*(u + 5)**2*(u + 129)**2/15
Factor -42 - 11/2*n + 1/4*n**2.
(n - 28)*(n + 6)/4
Let r be (9/(-5) + 9)/(3/15). Let z be 4/(-5)*(2 - r/8). Factor -5/6*w**3 - 5/6*w**4 + 0*w**z + 0*w + 0.
-5*w**3*(w + 1)/6
Let z be 3925/(-942) + 55/10. What is p in -128/3*p**4 - z + 8*p**2 + 20/3*p - 128/3*p**3 = 0?
-1, -1/2, 1/4
Let m = -53914/15 - -10784/3. Determine k so that m*k**2 + 0 - 16/5*k = 0.
0, 8
Suppose -a + 5*u - 3 = 0, -17 + 8 = -3*a - 3*u. Suppose -14*z**3 + 12*z**2 + a*z**4 + 8*z + 4*z**2 + 24*z**3 = 0. Calculate z.
-2, -1, 0
Let u = 0 + 4. What is t in 3*t**4 + 8*t**u + 2*t**5 - 11*t**4 - 8*t**3 = 0?
-2, 0, 2
Let w = -316 + 322. Suppose -3*y = w, -36*i + 33*i = -4*y - 14. What is b in 0 + 1/2*b**i + 1/2*b = 0?
-1, 0
Suppose 24/7 - 128/7*z + 94/7*z**2 - 18/7*z**3 = 0. What is z?
2/9, 2, 3
Let i = 43798/1251 + -125/139. Let j = i + -304/9. Factor 0 + j*c**2 + 5/3*c.
c*(c + 5)/3
Solve -11 - 4523*o**3 - 8 - 865*o - 185 - 2133*o**3 - 6568*o**2 - 1179*o - 128*o**4 = 0.
-51, -1/2, -1/4
Suppose 6*j - 107*j - 175 = -2599. Let v(k) be the first derivative of 0*k**2 + 0*k - j - 1/5*k**5 + 0*k**4 + 1/3*k**3. Factor v(s).
-s**2*(s - 1)*(s + 1)
Let h = 9287 + -3120427/336. Let u(g) be the third derivative of 0*g**4 - 31*g**2 - h*g**8 - 3/8*g**6 + 0*g**5 + 0 + 1/7*g**7 + 0*g**3 + 0*g. Solve u(z) = 0.
0, 3
Let v = 25 - 24. Suppose -5*m - v + 11 = 0. Solve -3*l**m - 6*l + 5*l - 2*l = 0 for l.
-1, 0
Let a = 607 - 599. Factor 2*f**3 - a*f**2 + 25*f**2 + f**2 - 4*f**2 + 42*f**2.
2*f**2*(f + 28)
Factor 3/8*c**4 + 0 - 31/2*c**2 + 5/8*c**3 - 21/2*c.
c*(c - 6)*(c + 7)*(3*c + 2)/8
What is n in 455433 - 38*n**3 - 455433 - 666*n**3 - 4*n**4 - 1392*n**2 = 0?
-174, -2, 0
Let l be 9/26*((-2040)/(-216) + -9). Let y = -63 + 821/13. Factor 0 + y*n**4 + 2/13*n**3 - 2/13*n - l*n**2.
2*n*(n - 1)*(n + 1)**2/13
Determine z so that -1/3*z**3 + 2/3*z**2 - 14 + 41/3*z = 0.
-6, 1, 7
Let h(f) be the first derivative of -1/5*f**5 + 2*f**2 + 5/4*f**4 - 8/3*f**3 + 0*f + 58. Suppose h(i) = 0. What is i?
0, 1, 2
Let m(b) be the third derivative of -2*b**5/45 - 553*b**4/9 - 305809*b**3/9 - 2171*b**2 - 1. Factor m(l).
-2*(2*l + 553)**2/3
Let f(j) = 5*j**2 + 10*j - 5. Let m be (4 - 2) + 55 + -62. Let v(h) = -h**4 + h**3 + 2*h**2 + h - 1. Let t(b) = m*v(b) + f(b). Factor t(s).
5*s*(s - 1)**2*(s + 1)
Suppose -19*k**3 + 0 + 37/2*k**2 + k**5 + 0*k - 73/2*k**4 = 0. What is k?
-1, 0, 1/2, 37
Factor 6 + 11*g + 1/4*g**3 - 1/4*g**4 + 11/2*g**2.
-(g - 6)*(g + 1)*(g + 2)**2/4
Factor 936 - 1/2*z**2 + 1871/2*z.
-(z - 1872)*(z + 1)/2
Let m(z) = -17*z - 66. Let w be m(-5). Solve 10*u**4 + 40*u**3 + w*u**2 + 66*u - 10*u**3 + 21 - 7*u**4 + 53*u**2 = 0 for u.
-7, -1
Let l(v) = -10*v**3 - 102*v**2 - 532*v - 776. Let b(u) = -14*u**3 - 104*u**2 - 531*u - 777. Let c(h) = 4*b(h) - 6*l(h). Factor c(d).
4*(d + 3)**2*(d + 43)
Suppose 3224/17*n**2 + 1596/17*n**3 + 2160/17*n - 2/