u*z**2 - 4/5 + 26/5*z.
2*(z + 1)*(15*z - 2)/5
Suppose 124 - 370/3*t + 91/3*t**2 + 1/6*t**3 = 0. Calculate t.
-186, 2
Let p be (-1 - 4/(-6))/(66/(-7326)). Let s be (0 - 2/4)*(27 - p). Find r such that 4/7*r**2 - 12/7*r**3 + 4/7*r**s - 4/7*r**4 + 8/7*r + 0 = 0.
-1, 0, 1, 2
Let q(f) = 10*f - 5. Let y be q(1). Suppose -9*t = -13 - y. Factor 4 + 3*k + 5*k**3 + 3 - 8*k - t - 5*k**2.
5*(k - 1)**2*(k + 1)
Let k(l) be the first derivative of 7/10*l**5 - 7 + 3/2*l**4 + 0*l**2 + 7*l + 2/3*l**3. Let r(g) be the first derivative of k(g). Factor r(p).
2*p*(p + 1)*(7*p + 2)
Let o(l) be the second derivative of l**6/30 + 9*l**5/5 + 293*l**4/12 - 55*l**3 + 4023*l. Determine k so that o(k) = 0.
-22, -15, 0, 1
Factor -9811 - 3882 - 45356 - 3*k**2 + k + 2*k**2 + 485*k.
-(k - 243)**2
Let -288*z + 351*z - 668*z - 2*z**2 + 1623*z + 1606*z - 860672 = 0. What is z?
656
Find t, given that -4/5*t**4 + 4*t**3 - 12/5*t**2 - 36/5*t + 0 = 0.
-1, 0, 3
Let z be (420/3)/(23375/850). Let 0 - 6/11*g**2 - 6*g**4 + 0*g - 16/11*g**5 - z*g**3 = 0. Calculate g.
-3, -1, -1/8, 0
Suppose q = -5, 4*q = -4*s - 7 - 13. Let n(j) be the third derivative of -1/8*j**4 + 0*j + 1/40*j**6 + s + 10*j**2 - 1/2*j**3 + 1/20*j**5. Factor n(p).
3*(p - 1)*(p + 1)**2
Let v be (-28)/((-1813)/74 + 14). Find o, given that 1/3*o**4 + 14/3*o**2 - v*o + 0 - 7/3*o**3 = 0.
0, 1, 2, 4
What is z in 4/15*z**4 - 16/15*z**2 - 14/15*z - 4/15 - 4/15*z**3 + 2/15*z**5 = 0?
-1, 2
Let a(u) = 4*u + 1. Let p(x) = 3*x**2 + 77*x + 128. Let c(y) = -2*a(y) + p(y). Determine h so that c(h) = 0.
-21, -2
Let u = -38008 - -190064/5. Suppose -16/5*r**2 - u*r - 2/5*r**3 + 0 = 0. What is r?
-6, -2, 0
Let j(f) be the second derivative of 4*f**7/3 + 62*f**6/15 - 178*f**5/5 - 596*f**4/3 - 752*f**3/3 + 320*f**2 + 4624*f. Suppose j(p) = 0. Calculate p.
-5/2, -2, 2/7, 4
Let t(o) be the second derivative of -o**7/1260 + 7*o**6/360 - o**5/6 + 41*o**4/6 + 47*o. Let s(r) be the third derivative of t(r). Factor s(j).
-2*(j - 5)*(j - 2)
Let y(h) = -11*h**4 - 52*h**3 - 174*h**2 - 333*h - 9. Let j(u) = u**4 + 2*u**3 - 2*u**2 - 3*u + 1. Let s(z) = 9*j(z) + y(z). Factor s(m).
-2*m*(m + 5)*(m + 6)**2
Let h(u) be the third derivative of -u**7/490 - 66*u**6/35 + 159*u**5/14 - 199*u**4/7 + 531*u**3/14 - 238*u**2 + 1. Factor h(t).
-3*(t - 1)**3*(t + 531)/7
Let u(o) be the second derivative of o**2 + 2 + 11*o + 1/72*o**4 - 7/36*o**3. Let u(x) = 0. Calculate x.
3, 4
Let f(p) = -20*p**2 - 161*p - 312. Let r(s) = -11*s**2 - 80*s - 156. Let d(i) = -4*f(i) + 7*r(i). Solve d(m) = 0.
-26, -2
Suppose 3*o + 3*l = o + 21, 2*l = 5*o - 43. Let j be 223/17 + 1 + (-57)/51. Suppose 8*z**2 - 40*z - j*z**2 + o*z**2 + 100 = 0. Calculate z.
5
Let b(p) = -4*p**2 + p + 0*p**3 - 3*p - p**3 + 5*p**2. Let a(t) = -12*t**3 + 2*t**2 + 12*t + 16. Let g(x) = a(x) - 6*b(x). Suppose g(h) = 0. What is h?
-2, -2/3, 2
Suppose 0 + 25/2*t**3 - 5/2*t**5 - 5/2*t**4 + 0*t - 15/2*t**2 = 0. Calculate t.
-3, 0, 1
What is p in -1/4*p**2 + 57/4*p - 198 = 0?
24, 33
Suppose 12*h + 3*u - 39 = 13*h, -20*u + 277 = -h. What is f in 3/7*f**4 + 0*f**h + 0*f + 0*f**2 + 0 = 0?
0
Let m = -138 + 146. Let v be m/14 + 1240/868. What is p in 0 + 3*p + 87/4*p**3 + 27/4*p**4 + 18*p**v = 0?
-2, -1, -2/9, 0
Let h = -64317/8 - -8040. Let c(a) be the first derivative of h*a**4 + 3/20*a**5 - 1/8*a**6 - 40 + 0*a**3 + 0*a**2 + 0*a. Factor c(s).
-3*s**3*(s - 2)*(s + 1)/4
Find x such that -412*x + 1219*x - 445*x - 442*x + 84*x**2 + 3*x**4 - 7*x**4 = 0.
-5, 0, 1, 4
Let i = 13 + -10. Let b(a) = 4*a**i + 4 + 5*a**3 - 12*a - a**3. Let t(f) = 7*f**3 + f**2 - 11*f + 3. Let c(u) = 3*b(u) - 4*t(u). Factor c(h).
-4*h*(h - 1)*(h + 2)
Let y(i) = i**3 - 17*i**2 + 13*i + 12. Let t be y(18). Let c be t/450 - 4/40. Solve 0 + 1/6*v**2 + c*v = 0.
-7, 0
Suppose -2*v - 5 = -41. Let c = 1240 - 1238. Find u, given that v*u + 3*u**c + 11 - 7 + 27 - 4 = 0.
-3
Suppose -150 = 5*c - 2*v - 178, -2*c = -2*v - 28. Factor -12/5*h**3 + c*h**2 + 2/5*h**5 + 0*h - 2/5*h**4 + 0.
2*h**3*(h - 3)*(h + 2)/5
Let l = 899 + -886. Let h(s) be the third derivative of 1/120*s**5 + 0*s + l*s**2 - 1/24*s**4 + 0 + 1/12*s**3. Solve h(n) = 0.
1
Suppose -63*f - 1938 + 2064 = 0. Factor 16/15*w + 0 + 2/15*w**f.
2*w*(w + 8)/15
Let w(d) be the third derivative of d**9/9072 + d**8/420 + 11*d**7/2520 - 37*d**3/6 + d**2 + d. Let m(s) be the first derivative of w(s). Solve m(b) = 0 for b.
-11, -1, 0
Let c(w) = 2*w**3 - 12*w**2 - 14*w + 3. Let g be c(7). Let g*z**2 - 10*z - 9*z - 5*z - 27 = 0. Calculate z.
-1, 9
Let g = 50 + -47. Let i = 128/69 + -49/138. Factor i*x**4 - x + 1/2*x**5 - 3/2*x**2 + 1/2*x**g + 0.
x*(x - 1)*(x + 1)**2*(x + 2)/2
Let f(z) be the second derivative of z**6/240 + z**5/160 - z**4/12 - z**3/4 - 24*z + 1. Factor f(k).
k*(k - 3)*(k + 2)**2/8
Let b(q) be the first derivative of 4*q**3/27 - 98*q**2/3 - 450. Factor b(p).
4*p*(p - 147)/9
Let s(j) be the second derivative of -j**6/160 + j**5/40 + 55*j**2/2 + 39*j. Let t(o) be the first derivative of s(o). Factor t(k).
-3*k**2*(k - 2)/4
Suppose 47 = 3*y + 2*k, 234*y = 229*y + 2*k - 7. Let 1/2*c**3 - 98 + y*c**2 - 7/2*c = 0. Calculate c.
-7, 4
Let m(h) be the second derivative of 14/15*h**3 + 0 - 1/30*h**4 - 49/5*h**2 - 61*h. Suppose m(k) = 0. Calculate k.
7
Suppose 33*h = -73 + 7. Let s be 4 - (-1 - -5) - (h - 0). Factor 1/4*p**s + 9/4 - 3/2*p.
(p - 3)**2/4
Let b(u) be the third derivative of -u**7/210 - 13*u**6/120 - 7*u**5/10 + 4*u**4/3 + 112*u**3/3 + 3*u**2 + 60. Factor b(a).
-(a - 2)*(a + 4)**2*(a + 7)
Let s = -284 - -290. Let b(r) = 3*r**2 + 27*r + 60. Let q(j) = 3*j**2 + 26*j + 61. Let c(w) = s*q(w) - 7*b(w). Suppose c(g) = 0. Calculate g.
-9, -2
Let n(f) be the first derivative of -f**5/25 - 163*f**4/40 + 11*f**3/2 - 5556. Solve n(u) = 0.
-165/2, 0, 1
Let h(r) = -r**3 + 2*r**2 + 30*r + 16. Let y be h(-9). Solve -60*c - 400*c**2 - 875*c**3 - 2 + 12*c**4 - y*c**4 + 2 = 0 for c.
-3/5, -2/5, 0
Let a be ((-5520)/2208)/((-35)/4). Factor -12/7*p + 2 - a*p**2.
-2*(p - 1)*(p + 7)/7
Let n(i) be the first derivative of -i**3/12 + 11*i**2/4 + 12*i - 581. What is j in n(j) = 0?
-2, 24
Let c(w) = w**4 - 25*w**3 - 4*w - 8. Let x(g) = -3*g**3 + g**2 - 2*g - 1. Let l(v) = 5*c(v) - 40*x(v). Find b, given that l(b) = 0.
-3, 0, 2
Let w(i) = -46901*i - 609711. Let l be w(-13). Determine s so that 62500/3 + 1/6*s**3 + 1250*s + 25*s**l = 0.
-50
Let z(b) be the first derivative of -b**3/15 + 76*b**2 - 28880*b - 372. Let z(o) = 0. Calculate o.
380
Let g(s) be the first derivative of -5/4*s**4 + 225*s**3 - 30375/2*s**2 + 158 + 455625*s. Let g(o) = 0. Calculate o.
45
Let t(r) be the third derivative of -1/240*r**6 + 0*r**4 + 1/672*r**8 + 0*r + 0 - 99*r**2 + 1/70*r**7 - 1/20*r**5 + 0*r**3. Factor t(v).
v**2*(v - 1)*(v + 1)*(v + 6)/2
Determine a, given that 736/5*a - 734/5 - 2/5*a**2 = 0.
1, 367
Determine x so that 112/17*x**2 + 2/17*x**3 + 108/17 + 218/17*x = 0.
-54, -1
Let x(q) be the third derivative of -q**6/600 - 13*q**5/75 + 183*q**4/40 - 471*q**2 + 1. Factor x(k).
-k*(k - 9)*(k + 61)/5
Factor -26/7*h**2 + 7*h + 1/7*h**3 - 24/7.
(h - 24)*(h - 1)**2/7
Let x(k) be the second derivative of 2*k**4/3 + 41*k**3 + 308*k**2 - 2*k - 2335. Factor x(w).
2*(w + 28)*(4*w + 11)
Let d = 11 - 11. Suppose d = 5*o - 2*o - 6. Factor -5*x + 848 + x**o - 848.
x*(x - 5)
Let x = -47 - -152/3. Let o(b) be the first derivative of 20 - 8/3*b - x*b**2 - 5/9*b**3. Factor o(q).
-(q + 4)*(5*q + 2)/3
Suppose -2*l + 0 = p - 4, 3*l + 4*p - 1 = 0. Factor 17*s**3 + 22*s - 51*s**l - 20*s**2 + 32*s**3.
-2*s*(s - 1)*(s + 11)
Let l = 119971/239950 + 2/119975. Factor 0 - 1/2*t + 0*t**4 + t**3 + 0*t**2 - l*t**5.
-t*(t - 1)**2*(t + 1)**2/2
Let c = 7800 + -7795. Let u(w) be the second derivative of 0*w**4 - 4*w + 0*w**2 + 0*w**3 - 1/14*w**7 + 0 - 3/10*w**6 + 0*w**c. Find j, given that u(j) = 0.
-3, 0
Suppose -458774574241/7 - 4063974/7*s**2 - 3292/7*s**3 - 1/7*s**4 - 2229767068/7*s = 0. Calculate s.
-823
Let q(b) be the first derivative of 193*b**4 - 24*b**5 - 155 + 0*b + 640*b**3 + 512*b**2 + 2/3*b**6. Determine p so that q(p) = 0.
-1, 0, 16
Let o(n) = -2*n**5 + n**4 + 3*n**3 + 25*n**2 + 13*n + 3. Let t(z) = -z**5 - 2*z**4 + z**3 + 24*z**2 + 14*z + 2. Let r(s) = -4*o(s) + 6*t(s). Factor r(a).
2*a*(a - 8)*(a - 2)*(a + 1)**2
Suppose 41*q = 3696 - 3573. Determine t so that 0