3*p**3 + 56/3*p**5 + 0 + 8/3*p**2 = 0.
-1, 0, 1/4, 4/7
Let z be 3/9 - 392/(-12). Suppose 8*q + 45 - 117 = 0. Factor 44*s + q*s**2 - s**4 + 6 - z*s - 2 + s**3.
-(s - 4)*(s + 1)**3
Let r(m) be the third derivative of -m**6/300 - 11*m**5/50 - 23*m**4/15 - 4*m**3 - 24*m**2 - 3. Suppose r(l) = 0. What is l?
-30, -2, -1
Suppose 0 = -3*p - t - 49, -3*t - 12 = 2*p + 30. Let l be -1*2 - (-5)/(p/(-129)). Find s such that 4*s**3 - 41 + l = 0.
0
Let y(z) be the second derivative of -z**4/12 - z**3/6 + 5*z - 3. Let a(r) = 44*r**2 + 70*r + 8. Let p(u) = 2*a(u) + 44*y(u). Factor p(c).
4*(c + 2)*(11*c + 2)
Let h(t) = 9*t**3 - 1212*t**2 + 3603*t - 2445. Let x(n) = 64*n**3 - 8484*n**2 + 25220*n - 17124. Let j(d) = -36*h(d) + 5*x(d). Factor j(z).
-4*(z - 300)*(z - 2)*(z - 1)
Let l(i) be the third derivative of i**7/35 - 89*i**6/60 + 71*i**5/15 - 14*i**4/3 - 1384*i**2. Let l(u) = 0. What is u?
0, 2/3, 1, 28
Let x = 1280 - 503041/393. Let c = 793/2751 + x. Factor c*n**2 + 2 - 16/7*n.
2*(n - 7)*(n - 1)/7
Let t = -3741 + 3748. Let a(o) be the third derivative of 0 - 1/840*o**t - 16*o**2 + 0*o**3 + 0*o + 0*o**4 + 1/120*o**6 - 1/80*o**5. Factor a(d).
-d**2*(d - 3)*(d - 1)/4
Let u be ((-1)/(-5))/(11/55*(-2 + 5)). Factor u*y**3 + 44/3*y**2 + 484/3*y + 0.
y*(y + 22)**2/3
Let i(x) be the first derivative of x**6/3 + 62*x**5/5 + 187*x**4/2 - 578*x**3 + 2350. Let i(p) = 0. What is p?
-17, 0, 3
Factor 6288 - 27*d + 6268 - 3*d**2 - 18788 + 6262.
-3*(d - 1)*(d + 10)
Let 3561*p**2 + 3590*p**4 + 1859*p**2 + 76*p**5 + 2456*p**4 - 4746*p**4 + 504*p + 6140*p**3 = 0. Calculate p.
-9, -7, -1, -2/19, 0
Let r(h) = -29*h**2 - 558*h + 197. Let b(i) = -27*i**2 - 563*i + 192. Let j(w) = w + 1. Let x(v) = -b(v) - 4*j(v). Let y(k) = -6*r(k) - 7*x(k). Factor y(m).
-5*(m + 38)*(3*m - 1)
Let a(h) be the first derivative of 2*h**6 - 8*h**5 + 4*h**4 + 32*h**3/3 - 3862. Factor a(z).
4*z**2*(z - 2)**2*(3*z + 2)
Let q(d) = 46*d**2 + 8*d - 203. Let t(u) = -107*u**2 - 16*u + 404. Let s(k) = 7*q(k) + 3*t(k). What is w in s(w) = 0?
-19, 11
Let g(z) be the first derivative of z**3/9 - 3*z**2/2 + 303. Suppose g(b) = 0. What is b?
0, 9
Suppose 2*k = -4*x + 3*x + 4, -3*x - 6 = 0. Factor 9*g**k - 15*g - 4*g**2 + 10 + 9*g**3 - g**2 - 5*g**4 - 3*g**3.
-5*(g - 2)*(g - 1)**2*(g + 1)
Let 56/3*u + 0 + 532*u**3 - 580/3*u**2 - 100/3*u**5 - 460/3*u**4 = 0. What is u?
-7, 0, 1/5, 2
Let y(r) be the third derivative of -1/75*r**5 + 0 + 52/15*r**3 + 11/30*r**4 + 2*r**2 + 32*r. Factor y(g).
-4*(g - 13)*(g + 2)/5
Let v(p) be the third derivative of -p**8/112 + p**7/2 - 177*p**6/20 + 341*p**5/5 - 281*p**4 + 672*p**3 + 7*p**2 + 117*p. Find z such that v(z) = 0.
2, 8, 21
Let p(b) be the second derivative of -b**6/20 - 9*b**5/40 + b**4/2 - 734*b. Factor p(f).
-3*f**2*(f - 1)*(f + 4)/2
Let h = 2720/13 - 18988/91. Let p(a) be the first derivative of h*a**3 - 2/21*a**6 + 0*a**2 + 0*a + 1/7*a**4 + 16 - 12/35*a**5. Solve p(q) = 0 for q.
-3, -1, 0, 1
Let t be (-3332)/112*(-5 - -1). Let w(n) = -n**2 + 5*n + 2. Let b be w(5). Factor 5*y**3 - b*y - 40 + t*y - 30*y**2 - 57*y.
5*(y - 2)**3
Let l(x) be the second derivative of -5*x**6/6 + 91*x**5/2 - 2495*x**4/4 - 7600*x**3/3 + 3610*x**2 + x - 976. Solve l(i) = 0.
-2, 2/5, 19
Find d such that -124/9*d**2 - 4*d**4 + 0 + 14/3*d + 40/3*d**3 - 2/9*d**5 = 0.
-21, 0, 1
Let w(x) be the first derivative of -x**5/50 + 2*x**4/15 - x**3/3 + 2*x**2/5 + 15*x - 19. Let k(f) be the first derivative of w(f). Factor k(y).
-2*(y - 2)*(y - 1)**2/5
Let v(u) be the first derivative of -2/5*u - 54 + 0*u**2 + 2/15*u**3. Factor v(k).
2*(k - 1)*(k + 1)/5
Let g(q) = -12*q**2 + 468*q - 96. Let z(t) = -t**2 + 41*t - 9. Let j(s) = -3*g(s) + 32*z(s). Factor j(a).
4*a*(a - 23)
Let n(a) be the second derivative of -6/7*a**2 + 1 - 1/42*a**4 - 11*a - 1/3*a**3. Factor n(p).
-2*(p + 1)*(p + 6)/7
Let 2/5*r**4 + 12/5*r**3 - 24/5 - 8*r - 6/5*r**2 = 0. What is r?
-6, -1, 2
Let q be -20*287/(-82)*3/21. Let l(s) be the first derivative of 15/2*s**2 - 7 + 0*s**3 - 5/4*s**4 + q*s. Factor l(c).
-5*(c - 2)*(c + 1)**2
Let q(h) = 71*h**2 - 72*h + 3. Let w be q(1). Suppose 0 - 6/5*y - 3/5*y**w = 0. Calculate y.
-2, 0
Let g(k) be the second derivative of -1/2*k**3 + 1/3*k**4 - 2/15*k**6 + 0*k**2 + 3/20*k**5 + 0 - 88*k. Find s such that g(s) = 0.
-1, 0, 3/4, 1
Let r(i) = 2*i**3 + 18*i**2 - 119*i + 3. Let s(k) = -3*k**3 - 34*k**2 + 117*k - 4. Let n(m) = 4*r(m) + 3*s(m). Suppose n(u) = 0. Calculate u.
-25, -5, 0
Suppose -n + 3*t + 47 = 0, -121*n + 80 = -119*n - 5*t. Factor 15/2*s + n + 5/2*s**2.
5*(s + 1)*(s + 2)/2
Let k(u) = -u**2 - 5*u + 5. Let r(j) be the first derivative of -2*j**2 + 2*j - 14. Let d(s) = 4*k(s) - 10*r(s). Determine p, given that d(p) = 0.
0, 5
Let f(k) = -4 + 13 - k**2 + k**2 - 8*k + 11*k**4 + 10 + 2*k**3. Let y(j) = -2*j**4 + j**3 - j**2 - 2. Let n(d) = f(d) + 6*y(d). Factor n(g).
-(g - 7)*(g - 1)**2*(g + 1)
Suppose -536*s**2 - 415*s - s**4 + 23*s - 1421 - 17*s**4 - 258*s**3 + 1325 = 0. Calculate s.
-12, -1, -2/3
Let w(a) be the second derivative of a**4/28 - 108*a**3/7 - 93*a**2/2 + 4*a - 600. Determine s so that w(s) = 0.
-1, 217
Let f(q) be the second derivative of -q**7/42 + 59*q**6/15 - 3817*q**5/20 + 4957*q**4/3 - 14336*q**3/3 + 6272*q**2 + 12064*q. Determine x so that f(x) = 0.
1, 4, 56
Find k, given that 160/13*k**2 + 44/13*k**4 - 202/13*k**3 + 0 - 2/13*k**5 + 0*k = 0.
0, 1, 5, 16
Determine s so that -1/5*s**5 + 11/5*s**3 - 9/5*s**4 + 0 + 9/5*s**2 - 2*s = 0.
-10, -1, 0, 1
Suppose -14*d + 67 = 25. Determine n so that 29*n + 31*n + 16*n**4 + 36*n**d + 2*n**5 - 50*n + 32*n**2 = 0.
-5, -1, 0
Let k(z) be the third derivative of z**5/90 + 7*z**4/9 - 215*z**3/3 + 53*z**2 - z. Factor k(t).
2*(t - 15)*(t + 43)/3
Let c = -11154 + 11190. Let o(i) be the second derivative of -i**3 - 1/4*i**4 - c*i + 0 + 0*i**2. Factor o(f).
-3*f*(f + 2)
Let q(b) be the third derivative of 0*b - b**2 + 0 + 1/100*b**5 + 729/10*b**3 - 27/20*b**4. Suppose q(p) = 0. Calculate p.
27
Let i(o) = -o**2 - 17*o + 439. Let b be i(-31). Let j be (6 + (-29)/b)/((-6)/(-40)). Let -7/3*l + j - 2/3*l**2 = 0. Calculate l.
-4, 1/2
Factor -4/5*h**5 + 0 + 144*h**2 + 16*h**4 - 324/5*h - 472/5*h**3.
-4*h*(h - 9)**2*(h - 1)**2/5
Suppose -135*k - 3*j + 33 = -131*k, 4*k - 36 = -4*j. Find x such that -6*x**3 + 9/2*x**2 + k*x - 6 + 3/2*x**4 = 0.
-1, 1, 2
Suppose -830*s + 827*s + 24 = -5*o, 38 = 4*o + 2*s. Factor 0*l**2 + 0*l**4 + 3/8*l**o - 3/8*l**5 + 0*l + 0.
-3*l**3*(l - 1)*(l + 1)/8
Suppose 20*a - 18 = 23*a. Let b be 4/5 + a/(-5). Find u, given that 0*u**2 - 4*u**b + 23*u - 27*u = 0.
-1, 0
Let r(x) = 5*x - 1. Let h be r(1). Suppose h*p - 6*p = -4*g - 88, 3*p = -5*g + 77. Factor 12*f**2 + f**5 + 11 + 33*f + p*f**2 + 9*f**4 + 30*f**3 - 2 + 0.
(f + 1)**3*(f + 3)**2
Let g(w) be the second derivative of -w**6/6 + 3*w**5/4 + 5*w**4/3 - 827*w + 3. What is m in g(m) = 0?
-1, 0, 4
Let u(o) be the second derivative of -2*o**2 + 0 + 3*o - 2/15*o**3 + 1/60*o**4 + 1/150*o**5. Let c(b) be the first derivative of u(b). Solve c(g) = 0 for g.
-2, 1
Determine u so that -295 - 91*u**3 + u**5 - 84*u**4 - 1036*u**2 + 1415 + 112*u**3 + 744*u - 769*u**3 + 3*u**5 = 0.
-5, -2, -1, 1, 28
Let r(p) = -1097*p + 104217. Let z be r(95). Factor 1/4*f**3 + 2 + 5/2*f**z + 17/4*f.
(f + 1)**2*(f + 8)/4
Let o = -13634/3 + 4548. Let k(v) be the first derivative of 0*v + o*v**3 - 19 + 0*v**2 + 5/4*v**4. Determine i, given that k(i) = 0.
-2, 0
Let t(p) = -123*p**2 + 10587*p - 771. Let c be t(86). Factor -15/2*k**4 + 0*k**2 + 0*k + 35/4*k**c + 0 - 5/4*k**5.
-5*k**3*(k - 1)*(k + 7)/4
Let g(s) be the second derivative of -s**5/20 - 41*s**4/6 - 950*s**3/3 - 4332*s**2 + 22*s + 47. Solve g(i) = 0.
-38, -6
Let y(b) be the first derivative of -2/3*b**3 + 24*b**2 + 86 + 50*b. Let y(r) = 0. Calculate r.
-1, 25
Suppose 5*k = -5, 3*n - 1665 = 2*k - 454. Suppose -97 + n = 9*z. Suppose z*g - 8*g**3 - 10 - 56*g**2 + 64*g**2 - 2 + 2*g**3 = 0. Calculate g.
-2, 1/3, 3
Let j(z) be the third derivative of -19/33*z**5 + 8 + 3/385*z**7 + 0*z + 15*z**2 - 25/44*z**4 + 1/1848*z**8 + 375/11*z**3 - 1/110*z**6. Factor j(f).
2*(f - 3)**2*(f + 5)**3/11
Let w(u) be the third derivative of -2/45*u**5 + 1/504*u**8 + 0*u**3 + 0*u**4 + 0*u - 1/45*u**6 + 0 + 122*u**2 + 1/315*u**7. What is g in w(g) = 0?
-2, -1, 0, 2
Let d(b) = 8*b**2 