5)) + -2. Find i, given that -5*i**4 + 6*i + j*i**3 - 2*i**5 - 5*i + 8*i**2 - 5*i = 0.
-2, 0, 1/2, 1
Let f(v) = -17*v**4 + 27*v**3 - 10*v**2 + 7. Let u(n) = 3 - 25*n**3 - 5*n**2 + 32*n**3 + 6*n**3 - 8*n**4. Let k(d) = 3*f(d) - 7*u(d). Find p such that k(p) = 0.
0, 1
Let z(b) = -3*b + 143. Let c be z(46). Let m(w) be the second derivative of 1/72*w**4 + 0*w**3 + 0 + 0*w**2 + 7*w + 1/240*w**c. Factor m(f).
f**2*(f + 2)/12
Let o(q) = -3*q**3 + 9*q**2 - 9*q + 6. Let y be o(2). Let 6/11*p + 0*p**3 + 12/11*p**4 - 12/11*p**2 - 6/11*p**5 + y = 0. Calculate p.
-1, 0, 1
Factor -2/3*p**4 + 0*p**2 + 0*p + 0 - 724/3*p**3.
-2*p**3*(p + 362)/3
Solve -1/3*o**5 + o + 4/3*o**4 - 4/3*o**2 + 0 - 2/3*o**3 = 0.
-1, 0, 1, 3
Let p be 17670/(-90) - (9 + (0 - 3)). Let l = p + 203. Factor j - 1/3*j**2 - l.
-(j - 2)*(j - 1)/3
Factor -3/8 - 1167/8*u - 13350*u**2 + 165000*u**3.
3*(11*u - 1)*(200*u + 1)**2/8
Let o(r) be the first derivative of 1/12*r**4 - 5/9*r**3 + 0*r**2 + 0*r + 93. Find q such that o(q) = 0.
0, 5
Suppose t - 3717 = 5*v, -3*t - 20 + 755 = -v. Let m = v - -746. Factor 0*f + 0*f**3 + 3/4*f**4 + 0*f**m + 0.
3*f**4/4
Let i(y) be the first derivative of 3*y**5/5 + 6*y**4 - 270*y**3 - 5832*y**2 - 41553*y + 2124. Solve i(z) = 0 for z.
-9, 19
Let x = 129611 + -1684925/13. Determine b, given that -4/13 + x*b - 8/13*b**2 = 0.
1/4, 2
Let f(q) = -14*q. Let x be f(0). Factor 16 - w**3 - 8 - 9*w - 3*w + x + 6*w**2.
-(w - 2)**3
Let o = -942479/3 + 314160. Suppose -4/3*i - o*i**2 + 4 = 0. What is i?
-6, 2
Factor -40*z**4 + 13*z**3 - 32*z**2 + 777*z**5 + 32*z**3 + 23*z**3 - 773*z**5.
4*z**2*(z - 8)*(z - 1)**2
Let z be ((-3)/(-7))/((-64)/(-56) + -1). Let y(f) = -61*f + 185. Let i be y(z). Factor 4/5*q - 2/5*q**3 + 0 + 2/5*q**i.
-2*q*(q - 2)*(q + 1)/5
Let t(h) = 4*h**3 + 4*h**2 + 344*h + 554. Let u(k) = 4*k**3 + 14*k**2 + 342*k + 555. Let y(q) = 5*t(q) - 6*u(q). Find w, given that y(w) = 0.
-7, -5, -4
Let q(z) be the second derivative of -z**4/3 + 38*z**3/3 - 180*z**2 - 2*z + 27. What is g in q(g) = 0?
9, 10
Let f(j) be the third derivative of j**5/30 - 73*j**4/12 + 24*j**3 - 2*j**2 - 2178*j - 1. What is n in f(n) = 0?
1, 72
Let d(x) be the first derivative of 2*x**5/65 - 4*x**4 + 398*x**3/13 - 886*x**2/13 + 784*x/13 - 5081. Solve d(h) = 0.
1, 4, 98
Let k(a) = -a**2 - a + 58. Let g be k(7). Let u be ((-276)/(-48) - g) + (-6)/8. Factor 9/5 + 3*p - u*p**3 - 9/5*p**2.
-3*(p - 1)*(p + 1)*(5*p + 3)/5
What is h in 328/13*h**2 - 2/13*h**4 - 888/13*h + 736/13 - 30/13*h**3 = 0?
-23, 2, 4
Let x be (10/20)/((-3)/12). Let l be ((-11)/(x + -152))/((-2)/(-200)). Factor -2/7*k**2 - l - 20/7*k.
-2*(k + 5)**2/7
Let -8*b**3 - 9*b**3 - 2*b**3 + 17*b**3 + 8*b**2 = 0. What is b?
0, 4
Let c = -1071409/420 - -2551. Let r(y) be the third derivative of -1/210*y**5 - 1/105*y**7 + 0*y**3 - 1/28*y**4 + 15*y**2 + 0 + 0*y + c*y**6. Factor r(d).
-2*d*(d - 1)**2*(7*d + 3)/7
Suppose 22*n + 2557*n**2 + 2*n**4 - 2462*n**2 + 40*n**3 + 28*n - 7*n**4 = 0. What is n?
-1, 0, 10
Let t(d) be the first derivative of -d**4/10 + 38*d**3/15 - 10*d**2 + 64*d/5 - 1050. Determine c so that t(c) = 0.
1, 2, 16
Find b, given that 4/7*b**4 - 12*b**3 + 292/7*b**2 + 136/7 - 348/7*b = 0.
1, 2, 17
Let o(a) = 13*a**2 - 127*a - 17. Let q be o(10). Let z(x) be the first derivative of x**3 + 9/2*x**2 + 0*x + q. Solve z(i) = 0.
-3, 0
Let b(f) = -8*f**2 + 790*f + 156022. Let p(v) = -3*v**2 - 1. Let u(l) = -2*b(l) + 6*p(l). Solve u(k) = 0.
-395
What is o in -194/11*o - 96/11 - 2/11*o**3 - 100/11*o**2 = 0?
-48, -1
Let s(l) be the second derivative of l**5/10 + 13*l**4/3 - 29*l**3 + 1782*l. Let s(t) = 0. Calculate t.
-29, 0, 3
Let c(w) = 26*w + 220. Let v be c(-6). Suppose -v*j - j**5 - 8*j**2 + 5*j**3 + 8*j**2 + 60*j = 0. What is j?
-2, -1, 0, 1, 2
Suppose -5*y - 1 = 4, 0 = 3*n - y - 73. Let p be (27/(-42))/(n/(-28)). Let p*c**5 - 3/4*c**3 + 3/4*c**2 - 3/4*c**4 + 0*c + 0 = 0. Calculate c.
-1, 0, 1
Let a(k) = -2*k**2 + 135*k + 882. Let p be a(-6). Let q(j) be the first derivative of -3/10*j**5 + j**4 + p*j - 2/3*j**3 + 22 + 0*j**2. Factor q(n).
-n**2*(n - 2)*(3*n - 2)/2
Let y be (-6)/(-26) - (18336/832 - 22)*-98. Factor 1/2*h**5 - 5/2*h + 3*h**y + 0 - 3*h**2 + 2*h**3.
h*(h - 1)*(h + 1)**2*(h + 5)/2
Let v = 17982 + -2050009/114. Let l = -2/57 - v. Factor 0 + 1/4*t**2 + l*t.
t*(t + 2)/4
Let c be ((-2)/144*28)/(2/150). Let g = 30 + c. Factor -5/3*n + g*n**2 + 0.
5*n*(n - 2)/6
Factor 3*f**2 + 599 - 283 - 292 - 276 + 51*f.
3*(f - 4)*(f + 21)
Let s be 6/(-10) - 123/(-164)*(-12)/(-15). Let t(q) be the second derivative of 0 + 22*q + 0*q**3 + 1/54*q**4 + s*q**2. Factor t(m).
2*m**2/9
Suppose -644*s + 173 + 170 - 343 = -148*s. Factor s*b + 0 - 2/3*b**2.
-2*b**2/3
Let q(d) be the second derivative of 0 - 1/78*d**4 - 140/39*d**3 - 73*d - 4900/13*d**2. What is g in q(g) = 0?
-70
Factor -136*s**3 + 62*s + 44*s**3 + 44*s**3 + 45*s**3 + 106*s + 180 + 33*s**2.
-3*(s - 15)*(s + 2)**2
Let f(r) be the second derivative of 7/15*r**4 + 28/15*r**3 + 1/25*r**5 + 135*r + 0 + 16/5*r**2. Factor f(v).
4*(v + 1)*(v + 2)*(v + 4)/5
Let m(k) be the first derivative of -1/2*k**4 + 0*k - 2*k**3 + 4*k**2 - 11. Find h such that m(h) = 0.
-4, 0, 1
Factor -45 + 51/4*b - 3/4*b**2.
-3*(b - 12)*(b - 5)/4
Let k(z) be the second derivative of z**4/4 - 3*z**3/2 + 3*z**2 - 131*z + 2. Factor k(r).
3*(r - 2)*(r - 1)
Let r(a) be the first derivative of 13/2*a - 1/4*a**2 - 13/6*a**3 + 27 + 1/8*a**4. Factor r(u).
(u - 13)*(u - 1)*(u + 1)/2
Let v(u) be the second derivative of -u**8/560 + 23*u**7/280 + 19*u**3/2 - u**2 + 2*u - 15. Let p(q) be the second derivative of v(q). Factor p(g).
-3*g**3*(g - 23)
Factor -14580 - 14*n**2 - 17*n**2 + 540*n - 16*n**2 - 9*n**2 + 51*n**2.
-5*(n - 54)**2
Find x such that 0 + 350/13*x**3 - 160/13*x + 16*x**2 - 18/13*x**4 = 0.
-1, 0, 4/9, 20
Let u be ((-14)/(-4) + -2)*(-30)/5. Let o = -3 - u. Suppose -11*k**2 - k**2 + 4*k - 4*k**3 + o + 5 + 1 = 0. Calculate k.
-3, -1, 1
Let p(r) be the second derivative of -13/230*r**5 + 0*r**3 - 2/23*r**4 + 0*r**2 - 1/345*r**6 - 2 - 3*r. Factor p(v).
-2*v**2*(v + 1)*(v + 12)/23
Let v(a) be the second derivative of -4*a**4/27 + 53*a**3/27 - 28*a**2/3 + 1950*a. Find m such that v(m) = 0.
21/8, 4
Suppose 7*j - l = 6*j + 9, 0 = -5*l - 20. Solve 2*p**4 + 1/2*p + 0 + 1/2*p**j + 2*p**2 + 3*p**3 = 0.
-1, 0
Let c = -1/67794 - -1627063/474558. Factor 10/7*v**3 + c*v**2 + 1/7*v**4 - 25/7 - 10/7*v.
(v - 1)*(v + 1)*(v + 5)**2/7
Let u = -10/343347 + 46811671/69699441. Let j = u - 1/203. Factor -2/3 + j*x**2 + 0*x.
2*(x - 1)*(x + 1)/3
Factor 13865*v**3 - 36*v**4 - 393016*v**2 - 5487*v**3 - 608400 + 1831440*v - 994620*v**2 + 5710*v**3.
-4*(v - 195)**2*(3*v - 2)**2
Let r(h) be the first derivative of 2*h**3/9 + h**2 - 56*h/3 + 359. Find y, given that r(y) = 0.
-7, 4
Let k = 301177/22593 + 21/7531. Suppose -52/3*d - 4*d**2 + 20/3*d**3 + 4/3*d**4 + k = 0. What is d?
-5, -2, 1
Let c(q) = 20*q - 28. Let u be c(1). Let m be 5/(-80)*u - 9/24. Factor 1/8*h**2 - m + 1/8*h**3 - 1/8*h.
(h - 1)*(h + 1)**2/8
Determine f, given that -8*f**2 + 733*f + 3*f**2 + 747*f + 570 - 1655*f = 0.
-38, 3
Let i be 9 + -3 + -1*(-1 - -2). Factor -3*x**i + x**5 + 32*x**3 + 196*x**4 - 208*x**4.
-2*x**3*(x - 2)*(x + 8)
Let f be -2 - ((-4)/(-2))/(-1). Let g = 2089626 + -10448128/5. Factor f + g*n - 2/5*n**2.
-2*n*(n - 1)/5
Let z(u) be the third derivative of u**7/315 + 31*u**6/360 + 38*u**5/45 + 17*u**4/6 - 8*u**3 + 1344*u**2. Find p such that z(p) = 0.
-6, -4, 1/2
Suppose 162/5 + 2/5*s**2 - 12*s = 0. What is s?
3, 27
Let b be (-2 - -12) + (-9 - 39/(-13)). Factor 0 + 1/2*g**b + 0*g - g**2 + 1/2*g**3.
g**2*(g - 1)*(g + 2)/2
What is h in 13/3*h**3 + 31/3*h - 11*h**2 - 1/3*h**4 - 10/3 = 0?
1, 10
Suppose 4*n + 5*v - 37 = 0, 0*n - 4*v = 5*n - 35. Let r be (-1)/((-36)/114) - (119/14 - 7). Factor -1/3*g**n + 0*g + 0 + r*g**2.
-g**2*(g - 5)/3
Let c = -356/457 - -8481/914. Factor 0 - c*x**2 + 1/2*x.
-x*(17*x - 1)/2
Let i(z) be the first derivative of -z**4/6 - 2*z**3 - 9*z**2 - 72*z - 38. Let a(y) be the first derivative of i(y). Factor a(j).
-2*(j + 3)**2
Suppose 0 = 4*p + 9*t - 10*t + 6*t - 8, 0 = -5*t. Let w(b) be the second derivative of 0 + 0*b**3 - 1/60*b**4 + 1/10*b**p + 22*b. Solve w(y) = 0.
-1, 1
Let w = -5006 - -15019/3. Let j(u) be the second derivative of -4*u**3