+ 1)/3
Let p(q) be the first derivative of -1/5*q**2 + 0*q - 3/5*q**4 + 191 - 8/25*q**5 - 1/15*q**6 - 8/15*q**3. Suppose p(d) = 0. Calculate d.
-1, 0
Factor 0 + 12/7*n + 16224*n**3 + 100352*n**5 + 306432*n**4 + 2020/7*n**2.
4*n*(n + 3)*(56*n + 1)**3/7
Let c be (0 + -85)/(14/(-28)). Let b be 4/(-5) + c/25. Factor -2*u**4 + 43*u**3 - 48*u**3 + 2*u**2 + u**4 - b*u**2.
-u**2*(u + 1)*(u + 4)
Let r = -6358334/3 + 2119450. Factor -4 + 26/3*q + 2/3*q**3 - r*q**2.
2*(q - 6)*(q - 1)**2/3
Let z(r) be the second derivative of r**6/120 + 3*r**5/40 + r**4/16 - 5*r**3/12 + 2*r - 55. Factor z(i).
i*(i - 1)*(i + 2)*(i + 5)/4
Let h be -3*(-72)/27 + 4/2. Suppose p - 5*k + 15 = -h, 0 = -p - 5*k + 25. Find f, given that -1/5*f**4 + p + 0*f - 1/5*f**5 + 4/5*f**2 + 4/5*f**3 = 0.
-2, -1, 0, 2
Suppose -3*i + 2 = 14. Let y = 0 - i. Suppose 4*u**y + 7*u**3 - 15*u**3 + 4*u**2 + 0*u**3 = 0. Calculate u.
0, 1
Let h = 907328/9 - 100814. Suppose 0*d - 8/9*d**4 + 0 - 10/9*d**3 - 4/9*d**2 - h*d**5 = 0. Calculate d.
-2, -1, 0
Suppose -5*b + 482 - 482 = 0. Let y(t) be the third derivative of 0*t**4 + 0*t**3 + 0*t**5 - 12*t**2 - 1/1050*t**7 + b*t + 0 + 1/600*t**6. Factor y(a).
-a**3*(a - 1)/5
Let x(s) be the second derivative of 107*s - 3*s**2 + 0 - 3/4*s**4 - 5/2*s**3. Factor x(t).
-3*(t + 1)*(3*t + 2)
Let h be 6*6/16 + (-21)/(-28). Suppose 351*k**h - 701*k**3 - k**5 + 7*k**2 + 351*k**3 - 3*k**4 - 4 = 0. What is k?
-2, -1, 1
Let w(x) = -14*x**3 - 85*x**2 - 184*x + 280. Let v(t) = -445*t**3 - 2720*t**2 - 5890*t + 8960. Let b(l) = 3*v(l) - 95*w(l). Solve b(o) = 0.
-14, -4, 1
Let r(m) = m**3 - 416*m**2 + 415*m - 10. Let d(x) = -416*x**2 + 416*x - 8. Let k(j) = 5*d(j) - 4*r(j). Factor k(g).
-4*g*(g - 1)*(g + 105)
Suppose -596 = -s + 2*s - 4*z, -2*s - 2*z = 1182. Let w = s + 594. Let 0 + 2/3*r**3 + 2/3*r**w - 2/3*r**4 - 2/3*r = 0. What is r?
-1, 0, 1
Let k(w) be the third derivative of w**7/280 + w**6/10 - 123*w**5/80 + 99*w**4/16 - 4588*w**2. Let k(z) = 0. What is z?
-22, 0, 3
Suppose 2307*v - 2280*v - 81 = 0. Let g(t) be the first derivative of 4*t**2 + 16*t - 24 + 1/3*t**v. Factor g(y).
(y + 4)**2
Factor -5*b + 53*b - 348*b**2 - 75*b**4 + 5 - 4 + 312*b**3 - 1.
-3*b*(b - 2)**2*(25*b - 4)
Let g = -213 - -219. Let 5*w**2 + 5*w**2 + 5*w + 6*w**4 - 5*w**3 - 5*w**4 - 5*w**2 - g*w**4 = 0. What is w?
-1, 0, 1
Suppose -2*r - 6 = 0, -5*y + 10*y = -4*r - 2. Factor -195*a**4 - 194*a**4 + 8*a**3 + 4*a**y + 393*a**4.
4*a**2*(a + 1)**2
Let a(w) be the second derivative of -w**4/12 - 197*w**3/3 + 395*w**2/2 + w - 2933. Factor a(o).
-(o - 1)*(o + 395)
Let r(v) = -36*v**3 + 516*v**2 + 29238*v + 555573. Let c(t) = -49*t**3 + 517*t**2 + 29237*t + 555571. Let x(q) = -3*c(q) + 4*r(q). Determine a so that x(a) = 0.
-57
Let o be 6/45 + (-234)/(-270). Suppose 0 = 5*w - t + o, -4*w + 140*t + 1 = 141*t. Factor 4/15*b**2 + w*b - 2/15*b**4 + 0 - 2/15*b**3.
-2*b**2*(b - 1)*(b + 2)/15
Let c(y) = 44*y**2 + 10438*y - 3421728. Let p(b) = -10*b**2 - 2610*b + 855432. Let g(d) = -6*c(d) - 26*p(d). What is j in g(j) = 0?
654
Let r(d) = 6*d - 3. Let g = -91 - -92. Let o(k) = k**2 + 1. Let f(h) = g*r(h) + 3*o(h). Let f(w) = 0. What is w?
-2, 0
Suppose 7*l - 8*l = -3. Determine h, given that 15*h**l - 261*h**4 + 273*h**4 + 0*h**2 + 3*h**5 + 6*h**2 = 0.
-2, -1, 0
Let w(p) = -64*p**3 + 100*p**2 - 632*p + 1164. Let u(m) = -113*m**3 + 201*m**2 - 1266*m + 2325. Let g(d) = 4*u(d) - 7*w(d). Determine a so that g(a) = 0.
4, 18
Let d(s) be the first derivative of -s**9/25704 - s**8/14280 + 15*s**3 + 20. Let q(m) be the third derivative of d(m). Factor q(b).
-2*b**4*(b + 1)/17
Let i be (8 - 1)/(520/(-175) - -3). Factor 10 + 17*q**2 + 18*q**2 - i*q**3 - 35*q + 235*q**3.
-5*(q - 2)*(q - 1)*(2*q - 1)
Let a(h) be the second derivative of 98*h**6/15 + 5908*h**5/5 + 3364*h**4/3 + 320*h**3 - 2683*h. Find n, given that a(n) = 0.
-120, -2/7, 0
Solve -6530*b**2 - 3464*b - 2*b**5 - 1578 - 1910*b**3 + 722*b - 734 + 130*b**4 - 4065*b + 7*b = 0 for b.
-1, 34
Suppose -7*t + 25 - 4 = 0. Suppose -4*h = 4*s, -4*s + t*h = h - 24. Factor 8 - 3 + 4*j**2 - 4 - j - s.
(j - 1)*(4*j + 3)
Let h(q) be the third derivative of -q**8/26880 - 47*q**7/6720 + q**6/20 - 13*q**5/12 + q**2 + 103*q. Let f(p) be the third derivative of h(p). Factor f(k).
-3*(k - 1)*(k + 48)/4
Let f be 15/900*-419 - 7*2/(-2). Let s(g) be the third derivative of -3/4*g**4 - 1/5*g**5 + 0 - 9*g**2 - 4/3*g**3 - f*g**6 + 0*g. Let s(m) = 0. Calculate m.
-4, -1
Let a(g) be the first derivative of g**6/1800 - g**5/100 - 7*g**4/120 - 94*g**3/3 - 42. Let t(j) be the third derivative of a(j). Factor t(i).
(i - 7)*(i + 1)/5
Let w(i) be the second derivative of i - 25/18*i**3 - 34 - 55/12*i**2 + 5/72*i**4. Solve w(g) = 0 for g.
-1, 11
Let j = -20827 - -83309/4. Solve -3/4*s**3 + 1/4*s**4 + 3/4*s + 0 - j*s**2 = 0.
-1, 0, 1, 3
Let d be ((-109)/(32700/(-40)))/((-1)/(-36)). Find l such that -12*l**3 - d*l**2 - 8/5*l**4 + 0 + 28/5*l = 0.
-7, -1, 0, 1/2
Let c(r) be the first derivative of -9*r**4/8 - 2*r**3 + 2727. Suppose c(t) = 0. What is t?
-4/3, 0
Let b be (-1)/(-2) + (-1885)/(-10). Suppose 0 = -23*j - 74 + b. Let -1/2*z**j - 1/2*z**4 + 0*z + 1/2*z**3 + 1/2*z**2 + 0 = 0. What is z?
-1, 0, 1
Let k(i) be the third derivative of i**6/15 + 61*i**5/5 + 271*i**4/6 + 60*i**3 - 666*i**2. Suppose k(b) = 0. Calculate b.
-90, -1, -1/2
Let g = -21 + 17. Let c be g/(-10) - (-93)/5. Suppose 6*b**5 + 60*b**2 - 85*b**5 + c*b**5 + 20*b - 15*b**3 - 140*b**4 = 0. Calculate b.
-2, -1/2, 0, 2/3
Let -21/2 + 1/2*r**2 - 10*r = 0. What is r?
-1, 21
Let j(x) = -29*x**2 - 287*x + 1498. Let a(d) = 245*d**2 + 2297*d - 11983. Let h(p) = 2*a(p) + 17*j(p). Suppose h(u) = 0. Calculate u.
-100, 5
Suppose 2/7*x**3 - 64/7*x - 8/7*x**2 + 0 = 0. Calculate x.
-4, 0, 8
Suppose 101 = 75*g - 349. Let d(j) be the third derivative of 0*j**3 - 1/5*j**5 + 1/8*j**4 + 0 + 0*j - 2*j**2 + 3/20*j**g - 2/35*j**7 + 1/112*j**8. Factor d(h).
3*h*(h - 1)**4
Let u = 842 + -817. Suppose -12 = -5*j + 23*l - u*l, 0 = 3*j - 4*l - 2. Factor 10/9*y + 0 - 2/9*y**j.
-2*y*(y - 5)/9
Suppose 3*o + 16 = 2*v - 0*o, -3*v + 3*o = -18. Suppose 4 + v = -2*x, 1355 = 4*t + 3*x. Factor -4*k**3 + 20*k**2 + 357 - 32*k + 0*k**3 - t.
-4*(k - 2)**2*(k - 1)
Let m = -445444/5 - -89089. Factor m*t**3 + 3/5*t**2 + 0 + 0*t.
t**2*(t + 3)/5
Let z(p) = 51*p**3 + 3999*p**2 + 7*p - 7. Let v(b) = -88*b**3 - 6664*b**2 - 12*b + 12. Let d(x) = 7*v(x) + 12*z(x). Determine g, given that d(g) = 0.
0, 335
Factor -16006 + 6057 - 13828 - 2*j**3 - j**4 - 1176*j**2 - 10976*j - 54*j**3 - 14639.
-(j + 14)**4
Let l(w) be the third derivative of w**7/1260 - 5*w**6/36 + 191*w**5/120 - 425*w**4/72 + 94*w**3/9 - 2*w**2 - 1574*w. Factor l(o).
(o - 94)*(o - 4)*(o - 1)**2/6
Let k(g) be the second derivative of -2*g**6/15 + g**5 + 71*g**4/3 - 110*g**3 - 2700*g**2 - 5017*g. Let k(w) = 0. Calculate w.
-5, 6, 9
Let 3734/5*b**2 - 3732/5*b - 2/5*b**3 + 0 = 0. What is b?
0, 1, 1866
Factor 42*d + 13/2*d**2 - 1/2*d**3 + 54.
-(d - 18)*(d + 2)*(d + 3)/2
Let z = 132 - 126. Solve -11*s**2 - 5*s**5 + 15*s**4 - 19*s**2 - 3*s + 2*s**5 + 0*s**2 + z*s**3 + 15 = 0.
-1, 1, 5
Let t(p) = 10*p**2 + 43*p + 15. Let y be t(-4). Let s(u) be the second derivative of 0*u**2 - 1/18*u**4 - 10*u + 0 + 4/9*u**y. Factor s(n).
-2*n*(n - 4)/3
Let a(v) be the third derivative of v**8/1680 + v**7/75 - 9*v**6/50 + 23*v**5/30 - 197*v**4/120 + 2*v**3 - 539*v**2. Suppose a(x) = 0. Calculate x.
-20, 1, 3
Let f(m) be the second derivative of -3*m**6/5 + 11*m**5/10 + 43*m**4/6 + 17*m**3/3 - 6*m**2 + 100*m + 1. Suppose f(r) = 0. Calculate r.
-1, 2/9, 3
Let o be (-3*12/9 + 2)*-1. Factor 14*x**2 - o*x**3 + 9 + 9 - 25*x - 5*x.
-2*(x - 3)**2*(x - 1)
Let v be (-5)/65 - (-1106)/182. Let x(p) be the third derivative of 0*p - 9/20*p**5 - 18*p**2 + 0 + 1/4*p**4 + 7/40*p**v + 0*p**3. Factor x(j).
3*j*(j - 1)*(7*j - 2)
Let a(j) be the third derivative of j**8/2016 - 2*j**7/315 - j**6/80 - j**2 + 518. Suppose a(b) = 0. What is b?
-1, 0, 9
Let b be 12/90 + 73/15. Suppose -b*v - 3*m + 25 = 0, -10*v + 14*v + 2*m = 18. Let -13/3*l - v + 13/3*l**3 - 5/3*l**4 + 11/3*l**2 = 0. Calculate l.
-1, -2/5, 1, 3
Let y(j) be the third derivative of 0*j + 0*j**3 - 14 - 62/105*j**7 + 0*j**4 + 1/84*j**8 - 3*j**2 + 17/2*j**6 - 15*j**5. Factor y(s).
4*s**2*(s - 15)**2*(s - 1)
Let z(w)