 1/15, 1
Let g(u) be the first derivative of 363*u**5/5 + 407*u**4/3 + 272*u**3/9 + 8*u**2/3 - 40*u + 64. Let i(r) be the first derivative of g(r). Solve i(c) = 0.
-1, -2/33
Let g be (-51705)/180 - 1/4*-1. Let a be (-119)/6*82/g + -5. Determine s, given that -2/3*s**2 + 0*s + a*s**5 + 0 + 2/3*s**4 - 2/3*s**3 = 0.
-1, 0, 1
Suppose -840 = -20*x + 16*x - 5*w, 2*x = 4*w + 420. Let u be 9/15 + 189/x. Factor -3/2*p**3 - 1/2*p**2 + 0*p - 1/2*p**5 + 0 - u*p**4.
-p**2*(p + 1)**3/2
Let u = 324 + -321. Factor -u + 7*r**2 + 6*r**3 - 9*r + 3 + 10*r.
r*(r + 1)*(6*r + 1)
Let c(o) = -o + 61*o**2 - 62*o**2 - 3 + 3 - 5 + 2. Let x(b) = 10*b**2 - 78*b + 98. Let j(r) = -6*c(r) - x(r). What is p in j(p) = 0?
1, 20
Suppose -272 = -186*f + 203*f. Let p be (427/27 + f)*6/(-5). Factor 4/9*r - 1/3*r**3 + p*r**4 + 0 + 1/9*r**5 - 4/9*r**2.
r*(r - 1)**2*(r + 2)**2/9
Suppose 5*o - 84 - 6 = 0. Let z = -3 - -7. Determine q so that -q**5 + 0*q**5 - 9 - 4*q**4 + z*q**5 - 5*q**4 + o*q**2 + 3*q - 6*q**3 = 0.
-1, 1, 3
Let o = 331545 - 2320767/7. Factor -o*c - 288/7*c**2 - 768/7*c**4 - 768/7*c**3 - 3/7.
-3*(4*c + 1)**4/7
Let i(n) be the first derivative of -n**3/3 + 309*n**2/2 - 1880. Find q such that i(q) = 0.
0, 309
Suppose -3*h + 103 - 22 = 0. Let o(t) = 4*t + 1. Let i be o(4). Solve h*j + i*j - 12*j**2 - 76*j - 3*j**3 + 23*j = 0.
-3, -1, 0
Let a(j) be the third derivative of -5*j**8/336 - j**7/42 + j**6/72 - 71*j**3/2 + 3*j**2 + 5. Let w(c) be the first derivative of a(c). What is d in w(d) = 0?
-1, 0, 1/5
Let p(x) = -x + 5. Let h be p(-9). Let a = h - 10. Factor -6*g**3 - 3*g**3 - 14*g + 15*g**2 + a*g**3 + 4*g.
-5*g*(g - 2)*(g - 1)
Solve 3*t**3 + 403*t**4 + 8*t**2 - 216*t**4 + 4*t - 189*t**4 - t**5 = 0 for t.
-2, -1, 0, 2
Suppose -18*j - 14368*j**2 + 7183*j**2 + 7182*j**2 - 15 = 0. Calculate j.
-5, -1
Let q = -1608 + 6437/4. Let n be 12/(-8) + 1*2. Factor q*s + 1/4*s**3 - n - s**2.
(s - 2)*(s - 1)**2/4
Let c(j) be the first derivative of -j**6/30 + 2*j**5/5 - 3*j**4/2 - 5*j**2 - 15. Let m(q) be the second derivative of c(q). Factor m(i).
-4*i*(i - 3)**2
Let j(t) be the third derivative of t**5/60 - 7*t**4/8 + 20*t**3/3 - 44*t**2. Let k be j(19). Factor -107 - 4*x**k + 48*x - 6 + 40 - 71.
-4*(x - 6)**2
Let c be (-10)/((-280)/(-21))*(-504)/189. Factor -2/5*n**2 - c*n + 12/5.
-2*(n - 1)*(n + 6)/5
Let k be 24*6*(-7 + 896/126). Let -k*y - 4/9*y**2 - 144 = 0. What is y?
-18
Let j be ((1 - (-95439)/(-12366)) + 7)*-4. Let i = -4/229 - j. Let 4/3*h**2 - 4/9*h**4 - 2*h**3 + 0 + i*h = 0. Calculate h.
-5, -1/2, 0, 1
Let l(o) be the third derivative of -2/45*o**5 - 1/90*o**6 - 5/54*o**4 + o**2 - 77*o - 1/9*o**3 - 1/945*o**7 + 0. Factor l(j).
-2*(j + 1)**3*(j + 3)/9
Let i(n) be the second derivative of -5*n**4/12 - 25*n**3/2 - 135*n**2 - 1384*n + 5. Factor i(h).
-5*(h + 6)*(h + 9)
Let n(t) be the second derivative of -123*t**5/20 - 163*t**4/2 + 8*t**3 + 133*t - 12. Find f, given that n(f) = 0.
-8, 0, 2/41
Let k(v) = -v**2 - 22*v - 54. Let y be k(-19). Let z = y - -2. Factor 1813*f + 5*f**5 + 10*f**4 + z*f**3 - 1813*f.
5*f**3*(f + 1)**2
Let r = 37 + -43. Let c(b) = -2*b - 4. Let s be c(r). Let -10*x**2 + 0*x + 4*x + s*x**3 - x**4 - x**4 = 0. What is x?
0, 1, 2
Let o be 5 + (-13 - 36/(-6)). Let s be ((-5)/o)/((-220)/(-16)). Factor s*h**2 - 1/11*h + 0.
h*(2*h - 1)/11
Let i(l) be the third derivative of 34*l**7/105 + 7*l**6/20 - 16*l**5/15 - 7*l**4/4 - 2*l**3/3 + 2587*l**2. Determine j, given that i(j) = 0.
-1, -1/2, -2/17, 1
Let l(g) be the third derivative of 1/20*g**6 - 2*g - 37*g**2 + 4/15*g**5 + 4/9*g**4 + 0 + 1/315*g**7 + 0*g**3. Determine d so that l(d) = 0.
-4, -1, 0
Suppose 0 = 15*s - 10*s. Let c(l) = 3*l**3 - 17*l**2 + 30*l - 98. Let m be c(5). Factor 1/4*z**3 - 3/4*z - 1/2 + s*z**m.
(z - 2)*(z + 1)**2/4
Let y be (0 - 8471)*21/(-189). Let n = 943 - y. Factor 8/9*i**4 + 8/9*i + n - 2/9*i**5 - 2/9*i**3 - 20/9*i**2.
-2*(i - 2)**3*(i + 1)**2/9
Let i(r) be the second derivative of r**7/14 + 49*r**6/40 + 39*r**5/10 - 409*r**4/16 - 315*r**3/2 - 108*r**2 + 2524*r. Let i(k) = 0. Calculate k.
-8, -4, -3, -1/4, 3
Find o such that -197/5*o**2 + 0 - 3/5*o**4 - 122/5*o**3 - 78/5*o = 0.
-39, -1, -2/3, 0
Let n(p) = -8*p**3 + 111*p**2 + 200*p. Let m(l) = l**3 + 2*l. Let q(t) = 18*m(t) + 2*n(t). Factor q(u).
2*u*(u + 2)*(u + 109)
Suppose 0 = -2*j + 6*j + n - 767, 3*n - 189 = -j. Find x such that j*x**2 + 42*x**5 + 100*x + 140*x - 1440 - 228*x**3 - 51*x**4 + 1488 = 0.
-2, -1/2, -2/7, 2
Let b be 5/(-7)*123417/(-6530). Factor -b*i - 3/2*i**2 - 30.
-3*(i + 4)*(i + 5)/2
Let f = -318 + 314. Let y be 5 - (-87)/30*f/(-2). Let 21/5*u**4 + 12*u**2 - 3/5*u**5 + 0 - 24/5*u - y*u**3 = 0. What is u?
0, 1, 2
Let h(f) be the second derivative of 1/120*f**5 + 9*f - 9 + 8/3*f**2 + 8/9*f**3 + 5/36*f**4. Factor h(z).
(z + 2)*(z + 4)**2/6
Let j(x) be the second derivative of 5/6*x**4 - 10*x**3 + 0 + 11/4*x**5 + 5/42*x**7 + 48*x + x**6 - 20*x**2. Solve j(o) = 0 for o.
-2, -1, 1
Let b(n) be the first derivative of -2/25*n**5 + 0*n - 2/5*n**2 + 2/5*n**3 - 41 + 0*n**4. Factor b(a).
-2*a*(a - 1)**2*(a + 2)/5
Let h(n) = 1. Let x(d) = 2*d**2 + 10*d + 11. Suppose -141*i + 152*i = -66. Let y(g) = i*h(g) + 2*x(g). Find b such that y(b) = 0.
-4, -1
Let d(t) = 16*t**4 - 78*t**3 - 40*t**2 + 78*t + 19. Let b(i) = -i**4 + i**2 - 1. Let z = 280 + -279. Let g(u) = z*d(u) - 5*b(u). Solve g(m) = 0 for m.
-1, -2/7, 1, 4
Suppose 6*z = 5*z - 3. Let o be z/2*-2 + (-15 - -62). Determine g, given that 9*g**2 - 6*g**2 - 8*g**2 - 125 - o*g = 0.
-5
Let g = -66373 + 597377/9. Find n such that g*n**3 + 4/9*n**2 - 20/9*n - 4/9 = 0.
-1, -1/5, 1
Determine x so that -151 + 20*x**5 - 955*x**2 + 4*x**4 - 40*x**3 + 947*x**2 + 155 + 20*x = 0.
-1, -1/5, 1
Let z(s) = 4*s**5 - 24*s**4 - 4*s**3 + 32*s**2. Let t(o) = -o**5 + 8*o**4 + o**3 - 11*o**2. Let a = -137 + 145. Let v(f) = a*t(f) + 3*z(f). Solve v(r) = 0.
-1, 0, 1, 2
Let y(u) = u**5 - 196*u**4 - 794*u**3 - 1196*u**2 - 809*u - 190. Let d(t) = 2*t - 2. Let n(f) = 10*d(f) + 2*y(f). What is c in n(c) = 0?
-1, 200
Let a = -3771 - -791911/210. Let b(i) be the third derivative of -12*i**2 + 0*i**3 + 0 + 0*i - 1/28*i**4 + a*i**5. Factor b(y).
2*y*(y - 3)/7
Let c(j) be the first derivative of -j**5/300 - j**4/12 - 5*j**3/6 - 2*j**2 - 30. Let r(l) be the second derivative of c(l). Factor r(i).
-(i + 5)**2/5
Let o(f) be the first derivative of 0*f + 49 - 14*f**2 - f**4 - 32/3*f**3. Factor o(l).
-4*l*(l + 1)*(l + 7)
Let g(f) = f**3 - 6*f**2 - 1870*f + 5640. Let m be g(3). Factor 0 - 8/17*v**2 - 2/17*v**m - 6/17*v.
-2*v*(v + 1)*(v + 3)/17
Factor 6*q + 15*q + 16*q**2 - 24*q**3 + 3*q + 4*q**4 - 15 - 5.
4*(q - 5)*(q - 1)**2*(q + 1)
Let v(g) be the first derivative of -g**5/45 - 7*g**4/18 + 31*g**3/27 + 130*g**2/9 + 100*g/3 - 8197. What is t in v(t) = 0?
-15, -2, 5
Determine l, given that 21*l**4 + 39*l**2 - 10*l + 968*l**5 - 2*l - 971*l**5 - 45*l**3 = 0.
0, 1, 4
Let h(n) be the third derivative of n**7/210 + n**6/24 - 11*n**5/60 - 11*n**4/8 - 3*n**3 + 509*n**2. Suppose h(t) = 0. What is t?
-6, -1, 3
Suppose 16284 = 19*c - 16206. Let r = c + -6333/4. Let 3/4*p**2 - 39/2*p + r = 0. Calculate p.
13
Let d(f) = -4*f**3 - 574*f**2 - 2223*f - 2197. Let m(a) = -36*a**3 - 5164*a**2 - 20004*a - 19772. Let t(g) = -44*d(g) + 5*m(g). Determine b so that t(b) = 0.
-137, -2
Solve 2/3*v**4 + 2/3*v**3 + 0 - 44/3*v**2 - 80/3*v = 0 for v.
-4, -2, 0, 5
Let n = 81638 + -81635. Factor -10/3*b**n - b**2 + 32/3*b - 20/3 + 1/3*b**4.
(b - 10)*(b - 1)**2*(b + 2)/3
Let d(l) be the second derivative of 29/78*l**4 + 1/195*l**6 - 8/65*l**5 + 57*l - 14/39*l**3 + 0 + 0*l**2. Factor d(o).
2*o*(o - 14)*(o - 1)**2/13
Let 185/2*o**2 - 260 - 55*o = 0. What is o?
-52/37, 2
Suppose 21 = 24*i - 27*i. Let c be (1/2)/(i/14)*-2. Factor 183*h**3 + 80 - 3*h**3 - 320*h + 221*h**2 + 135*h**5 + 99*h**c - 405*h**4.
5*(h - 2)*(h + 1)*(3*h - 2)**3
Let b(r) be the second derivative of r**4/3 + 208*r**3/3 - 2*r - 226. Find k, given that b(k) = 0.
-104, 0
Let u = -248245 + 16135529/65. Let n = 100/13 + u. Determine v, given that n*v**3 - 8/5*v - 2/5*v**4 - 6/5*v**2 + 8/5 = 0.
-1, 1, 2
Factor -3610 - 1824*q - 1532/5*q**2 - 96/5*q**3 - 2/5*q**4.
-2*(q + 5)**2*(q + 19)**2/5
Let h(b) be the first derivative of -b**6/252 + 2*b**5/105 - b**4/28 - 49*b**3/3 + 2. Let i(l) be the t