+ 1/5*f**5 + 27/5*f**4 - 156*f = 0.
-13, -2, -1, 2
Let l be (49 + 9)*2/((-16)/(-12)). Suppose 223*j - l = 194*j. Factor 0 + 3/4*r**j + 0*r**2 + 7/4*r**4 + 0*r.
r**3*(7*r + 3)/4
Let l = 483/31 + -811/62. Let h(v) be the first derivative of 0*v**2 + 0*v + 8/3*v**3 - 32 + 2/5*v**5 - l*v**4. Factor h(c).
2*c**2*(c - 4)*(c - 1)
Suppose -167*r - 25 = -132*r - 130. Let h(z) be the first derivative of -r*z**4 - 12 + 0*z - z**3 + 9/5*z**5 + 3*z**2. Suppose h(u) = 0. What is u?
-2/3, 0, 1
Let z(n) be the first derivative of n**6/4 - 36*n**5/5 - 45*n**4/2 + 1112*n**3 + 9936*n**2 + 31104*n + 1726. Let z(k) = 0. What is k?
-4, 18
Let q be 1*(288/28 + -21 + 11). Let d(a) be the second derivative of -a**3 + 0 + 4*a - q*a**2 + 23/42*a**4. Determine h so that d(h) = 0.
-2/23, 1
Find l such that -86856/5*l - 188/5*l**3 + 6266/5*l**2 + 2/5*l**4 + 426888/5 = 0.
14, 33
Let q(g) be the second derivative of -g**5/20 - g**4/2 + 8*g**3/3 - 555*g + 3. Find d such that q(d) = 0.
-8, 0, 2
Let n(k) be the second derivative of -1/5*k**5 - 22/3*k**3 - 7*k + 2/15*k**6 - 7 - 8*k**2 - 3*k**4. Factor n(a).
4*(a - 4)*(a + 1)**3
Let g(i) be the second derivative of 7*i**6/45 + 155*i**5/6 + 7241*i**4/6 + 14905*i**3/9 - 6050*i**2/3 + 653*i + 1. Find n, given that g(n) = 0.
-55, -1, 2/7
Let y be 1374*(-2)/(-52) - 4/(-26). Determine b so that 26 + 62*b + 5*b**3 + y*b - 4*b**2 - 61*b**2 - 81 = 0.
1, 11
Let z be (-244)/2318 - 44*7/(-38). Factor -z*g + 28*g + 2*g + 8*g**2 - 24*g - 3*g**2 - 3.
(g - 1)*(5*g + 3)
Let r = -27 + 29. Factor 5*y**r - 5*y + 274*y**3 - 2*y**4 - 2*y**2 - 4 - 269*y**3 + 3*y**4.
(y - 1)*(y + 1)**2*(y + 4)
Suppose -457 = 4*n - 5*w, 2*w + 206 = -5*n + 3*n. Let d be (-648)/n + 17/(-3). Let 2/3*u + d*u**2 - 8/3 = 0. What is u?
-4, 2
Let x(p) = 32*p**3 + 2169*p**2 - 5097*p + 1274. Let b(y) = -63*y**3 - 4341*y**2 + 10193*y - 2546. Let h(f) = -3*b(f) - 7*x(f). Factor h(s).
-5*(s - 2)*(s + 64)*(7*s - 2)
Let v(t) be the second derivative of -t**8/6720 - t**7/3360 + t**6/360 + t**5/120 - 7*t**3 + 2*t + 27. Let m(x) be the second derivative of v(x). Factor m(w).
-w*(w - 2)*(w + 1)*(w + 2)/4
Let z(q) be the third derivative of 1/420*q**5 - 3*q**2 + 0 - 1/840*q**6 + 9*q + 1/84*q**4 + 0*q**3. Factor z(c).
-c*(c - 2)*(c + 1)/7
Suppose -3*j + 12 = -33. Let c = 2153/2 + -1075. What is x in j*x + 75/2 + c*x**2 = 0?
-5
Solve 78*v**3 + 3/4*v**4 + 0 - 957/4*v**2 + 321/2*v = 0.
-107, 0, 1, 2
Let z(q) = 7*q**2 + 742*q + 2171. Let o(w) = -2*w**2 - 247*w - 726. Let k(x) = 8*o(x) + 3*z(x). Let k(a) = 0. What is a?
-47, -3
Let o = 361 + -357. Let -4*d**3 - 2539*d**2 - 60*d - 8*d**o + 2603*d**2 + 16 - 8*d**3 = 0. What is d?
-4, 1/2, 1
Find s such that -25*s + 14*s**3 - 8*s**4 + 14*s - 8*s**2 + 20*s**3 + 11*s = 0.
0, 1/4, 4
Let f(d) be the first derivative of 56*d**3/3 + 5*d**2 - 6*d - 4849. Solve f(g) = 0 for g.
-3/7, 1/4
Let i(c) = -2530*c - 15178. Let g be i(-6). Factor -2/3*o**3 + 4/3*o**g - 4 + 10/3*o.
-2*(o - 3)*(o - 1)*(o + 2)/3
Let o(y) = 5*y**4 + 140*y**3 + 456*y**2 + 16*y - 644. Let r(p) = -p**4 - 35*p**3 - 114*p**2 - 4*p + 160. Let d(t) = -2*o(t) - 9*r(t). Find x such that d(x) = 0.
-2, 1, 38
Let b(o) be the first derivative of -o**7/8820 + o**6/1260 + o**5/315 - 12*o**3 - 108. Let g(m) be the third derivative of b(m). Factor g(d).
-2*d*(d - 4)*(d + 1)/21
Suppose 83*g + 3 = -232*g + 3. Let b(u) be the third derivative of 8/7*u**3 + 20*u**2 + 0*u + 2*u**5 - 31/14*u**4 - 21/40*u**6 + g. Let b(i) = 0. Calculate i.
2/7, 4/3
Let s(j) be the second derivative of 2/3*j**6 + 155/12*j**4 + 0 + 165*j + 23/4*j**5 + 0*j**2 + 10*j**3. Factor s(o).
5*o*(o + 1)*(o + 4)*(4*o + 3)
Let d(f) be the third derivative of f**7/210 - 41*f**6/120 + 151*f**5/60 - 37*f**4/8 + 1930*f**2. Determine k so that d(k) = 0.
0, 1, 3, 37
Let a = 2126 + -2122. Let c(m) be the second derivative of -15*m + 1/12*m**a + 0 + 1/2*m**2 + 1/3*m**3. Factor c(d).
(d + 1)**2
Let q(n) be the first derivative of -12*n**2 - 2/5*n**5 + 52 + 1/2*n**4 + 0*n + 16/3*n**3. Suppose q(v) = 0. Calculate v.
-3, 0, 2
Let g(b) be the second derivative of 3/4*b**5 + 21/2*b**4 - 29/2*b**3 - 27*b**2 + 2 - 6*b. Factor g(c).
3*(c - 1)*(c + 9)*(5*c + 2)
Let r be ((-20)/(-18))/((-65)/(-234)). Let i(q) be the first derivative of 4*q**2 + 5 + r*q - 2*q**4 - 4/5*q**5 + 0*q**3. Suppose i(z) = 0. Calculate z.
-1, 1
Let g(u) be the second derivative of u**7/7 + 81*u**6/10 + 567*u**5/5 - 1323*u**4/4 + 1979*u. Let g(d) = 0. Calculate d.
-21, 0, 3/2
Let m(o) be the third derivative of 0*o - 1/40*o**5 + 23/48*o**4 - 24*o**2 - 7/6*o**3 + 0. Factor m(n).
-(n - 7)*(3*n - 2)/2
Let r(w) be the third derivative of w**6/600 - 37*w**5/300 + 17*w**4/20 - 1255*w**2. Factor r(f).
f*(f - 34)*(f - 3)/5
Let l be -8 - (69/(-92))/(-1 - 1986/(-1824)). What is s in 0*s**2 + 0*s + l*s**5 + 20/9*s**4 + 16/9*s**3 + 0 = 0?
-4, -1, 0
Let m(c) = -29*c**3 - 1099*c**2 - 4090*c - 1084. Let n(y) = -200*y**3 - 7695*y**2 - 28630*y - 7590. Let u(p) = 15*m(p) - 2*n(p). Factor u(t).
-5*(t + 4)*(t + 27)*(7*t + 2)
Let i = 6157 + -6157. Let k(v) be the third derivative of 1/8*v**4 - 1/60*v**5 - 23*v**2 + i*v + 2/3*v**3 + 0. What is j in k(j) = 0?
-1, 4
Let s be (-43310)/(-14910) - ((-96)/(-21) + -4). Factor -1/3*k**2 + s*k - 4.
-(k - 4)*(k - 3)/3
Let b(r) be the first derivative of 4*r**5/5 - 18*r**4 + 68*r**3/3 - 3071. Factor b(q).
4*q**2*(q - 17)*(q - 1)
Let k be (1/255)/((-3)/(-66))*108. Let b = k + -138/17. Solve -2/5*t**4 + 6/5*t**3 - b*t**2 + 0 + 2/5*t = 0.
0, 1
Suppose -21*m = -43*m - 88. Let q(a) = -22*a - 20. Let r(u) = u**2 + 110*u + 98. Let y(g) = m*r(g) - 22*q(g). Let y(d) = 0. Calculate d.
-1, 12
Let y(b) be the second derivative of -b**4/12 - 83*b**3/12 - 41*b**2/4 - 166*b. Factor y(i).
-(i + 41)*(2*i + 1)/2
Let s(y) be the first derivative of 4*y**3/15 - 84*y**2/5 + 1764*y/5 - 905. Factor s(t).
4*(t - 21)**2/5
Let g(n) be the third derivative of -n**5/510 - 5*n**4/102 + 125*n**3/17 + 2042*n**2. Factor g(x).
-2*(x - 15)*(x + 25)/17
Let c(b) be the first derivative of b**7/1400 - b**6/50 + 61*b**3/3 - 58. Let p(x) be the third derivative of c(x). Factor p(n).
3*n**2*(n - 12)/5
Let c(n) be the third derivative of n**7/210 - 73*n**6/60 - 15*n**5 - 227*n**4/3 - 608*n**3/3 + 10*n**2 + 9*n - 12. Factor c(s).
(s - 152)*(s + 2)**3
Determine m so that -46/5*m**2 + 0 + 1/5*m**4 + m**3 + 8*m = 0.
-10, 0, 1, 4
Let a be (42/35)/(6/15). Factor -20*l**2 + l**5 + a*l**5 + 88*l**2 - 5*l**5 + 8*l**4 + 42*l**3 + 12 + 47*l.
-(l - 12)*(l + 1)**4
Factor 120*w**2 - 85*w**2 + 0*w**4 + 75*w**2 + 268*w**2 + 60*w**3 + 2*w**4.
2*w**2*(w + 9)*(w + 21)
Let k(x) be the second derivative of -5*x + 1/20*x**6 + 1/72*x**4 + 1/20*x**5 + 0*x**3 + 1/63*x**7 - 4 + 0*x**2. Factor k(u).
u**2*(u + 1)**2*(4*u + 1)/6
Let w(r) be the third derivative of -r**8/1344 - r**7/72 - r**6/12 - 77*r**4/24 - 4*r**2 - 45*r. Let j(d) be the second derivative of w(d). Factor j(n).
-5*n*(n + 3)*(n + 4)
Let c be 8 + 3/(21/(-28)). Let p be (820/65)/c + -3. Factor -2/13 - 6/13*t - 6/13*t**2 - p*t**3.
-2*(t + 1)**3/13
Let g = 23947/72 + -2990/9. Factor 2 + g*m**2 - 13/4*m.
(m - 8)*(3*m - 2)/8
Suppose -2*c + 33*k = -169, -c + 3*k + 36 - 19 = 0. Determine p so that 1/3*p**4 - 2 - 7/3*p**c - 13/3*p + 1/3*p**3 = 0.
-2, -1, 3
Let 0 + 228/7*s + 93/7*s**3 + 387/7*s**2 - 9*s**4 + 3/7*s**5 = 0. Calculate s.
-1, 0, 4, 19
Let j(u) be the second derivative of -3*u**5/4 - 145*u**4/12 - 65*u**3 - 100*u**2 + 122*u + 2. Factor j(g).
-5*(g + 4)*(g + 5)*(3*g + 2)
Let t = -12913/85 - -2586/17. Let k(v) be the first derivative of 27/10*v**4 - t*v**6 + 0*v + 12/5*v**2 + 6/25*v**5 + 22/5*v**3 - 8. Factor k(r).
-6*r*(r - 4)*(r + 1)**3/5
Let q(r) = 3*r**4 - 6*r**3 + 7*r**2 + 16*r + 4. Let c(w) = 17*w**4 - 36*w**3 + 41*w**2 + 97*w + 26. Let t(n) = -4*c(n) + 23*q(n). Factor t(z).
(z - 2)*(z + 1)**2*(z + 6)
Let -8/15 - 2/15*c**2 - 8/15*c = 0. What is c?
-2
Find m, given that -2525*m**2 - 4*m**4 + 54 + 7408*m + 1836*m**3 + 9917*m**2 - 54 = 0.
-2, 0, 463
Determine r so that 200*r**2 - 28*r**5 + 232*r**4 - 322*r**3 + 38*r**2 - 190*r**3 - 110*r**2 = 0.
0, 2/7, 4
Suppose -5*z - 672 - 2204 = -o, -4*z - 2288 = -4*o. Let q be (-1024)/z*(-1)/(-2). Suppose 2/9*h**4 + 8/3*h + q + 4/3*h**3 + 26/9*h**2 = 0. Calculate h.
-2, -1
Let p(k) = -531*k - 4775. Let m be p(-9). Solve -33/5