56/35*15/42. Factor 4/7 + 2/7*t - 10/7*t**2 + u*t**r.
2*(t - 2)*(t - 1)*(2*t + 1)/7
Let m(f) = 2*f - 9. Let r be m(6). Let 122*z**2 - 4 + z - 120*z**2 - r*z = 0. Calculate z.
-1, 2
Let q(f) be the first derivative of -2/57*f**3 + 3/19*f**2 + 4/19*f - 2/95*f**5 - 16 - 3/38*f**4. Let q(m) = 0. What is m?
-2, -1, 1
Let s(l) be the first derivative of l**8/420 + 2*l**7/525 + 6*l**2 - 16. Let i(r) be the second derivative of s(r). Determine o so that i(o) = 0.
-1, 0
Find y such that 0 + 0*y**2 + 2/3*y**3 + 0*y = 0.
0
Let x(d) = 2*d**2 - 7*d + 4. Let s be x(-4). What is g in 40960*g + 1280*g**3 - 10240*g**2 - 68944 - s*g**5 + 66*g**5 - 80*g**4 + 3408 = 0?
8
Let f(j) = 8*j**4 - 8*j**3 - 4*j**2 + 8*j - 4. Let d(s) = 17*s**4 - 16*s**3 - 9*s**2 + 16*s - 8. Let h(c) = 4*d(c) - 9*f(c). Factor h(q).
-4*(q - 1)**3*(q + 1)
Suppose -3*h - 14 = 76. Let m = -27 - h. Factor 8/3*t - 52/3*t**2 + 70/3*t**m + 49/3*t**4 + 0.
t*(t + 2)*(7*t - 2)**2/3
Let y = 537 - 535. Let c(i) be the first derivative of 2/5*i**y - 4 + 2/15*i**3 + 2/5*i. Suppose c(d) = 0. Calculate d.
-1
Let s(f) be the second derivative of 2*f**7/21 + 2*f**6/3 + 9*f**5/5 + 7*f**4/3 + 4*f**3/3 - 84*f. Find r, given that s(r) = 0.
-2, -1, 0
Let n = 2187 + -10932/5. Let 12/5*x - n*x**3 + 0 + 9/5*x**2 = 0. What is x?
-1, 0, 4
Let a(y) be the third derivative of y**10/604800 + y**9/120960 + y**8/80640 + y**5/12 + 19*y**2. Let s(o) be the third derivative of a(o). Factor s(t).
t**2*(t + 1)**2/4
Suppose 0 = 13*a + 2*r - 24, 0*r + 4 = -4*r. Factor 4*x**a + 2*x + 1/4.
(4*x + 1)**2/4
Suppose 3*n - 29 = -5*h, 2*h - 3*n - 7 = -2*h. Find p, given that -3*p + 12*p**2 + 6*p**3 + 94*p**4 - 6 + 0*p**3 - 3*p**5 - 100*p**h = 0.
-2, -1, 1
Let h(t) be the third derivative of 0*t + 3*t**2 + 0 - 8/3*t**3 + 1/15*t**5 - 7/3*t**4 + 7/60*t**6. Determine u so that h(u) = 0.
-2, -2/7, 2
Let p be (18/14 + 16/(-56))*-3. Let t(v) = v**3 + 3*v**2 - v - 3. Let o be t(p). Let 0*m**4 + o - 2/5*m**5 + 0*m**2 + 4/5*m**3 - 2/5*m = 0. Calculate m.
-1, 0, 1
Let j(c) be the first derivative of -c**4 - 20*c**3/3 + 12*c**2 - 19. Factor j(l).
-4*l*(l - 1)*(l + 6)
Let b(k) be the third derivative of -k**8/1680 - k**7/1050 + k**6/24 - 7*k**5/60 - k**4/5 + 6*k**3/5 - 6*k**2 - 1. Determine a so that b(a) = 0.
-6, -1, 1, 2, 3
Factor -14*l**2 + 2*l**5 - 2*l**3 + 14*l**4 - 1435*l + 1435*l + 0*l**4.
2*l**2*(l - 1)*(l + 1)*(l + 7)
Let h(q) = -2*q**3 - 46*q**2 + 120*q + 2. Let l(g) = -9*g**3 - 227*g**2 + 600*g + 11. Let t(x) = 11*h(x) - 2*l(x). Suppose t(w) = 0. What is w?
-15, 0, 2
Let o(a) be the second derivative of -a**7/112 + 9*a**5/160 - a**4/16 - 18*a. What is f in o(f) = 0?
-2, 0, 1
Let x(c) = -4*c + 52. Let j be x(9). Let s(a) be the first derivative of -j*a**2 - 16*a - 20/3*a**3 - a**4 + 6. Suppose s(w) = 0. Calculate w.
-2, -1
Let r be (-27 - -27)/(2 - -2). Find s such that 1/5 - 3/10*s + 1/10*s**3 + r*s**2 = 0.
-2, 1
Let b(a) be the third derivative of a**5/240 + a**4/48 + 2*a**2 - 22. Let b(s) = 0. Calculate s.
-2, 0
Let o(d) = -5*d**3 - 10*d**2 - 31*d - 14. Let p(m) = 14*m**3 + 30*m**2 + 83*m + 43. Let f(k) = 17*o(k) + 6*p(k). Factor f(v).
-(v - 5)*(v - 4)*(v - 1)
Let m(l) be the third derivative of -l**8/112 + 6*l**7/35 + 27*l**6/40 + 7*l**5/10 + 361*l**2. Factor m(v).
-3*v**2*(v - 14)*(v + 1)**2
Suppose -27 = -5*t - 7. Let u(w) = -w**2 + 5*w - 4. Let s be u(t). Factor 0 - 1/5*g**3 + s*g - 1/5*g**2.
-g**2*(g + 1)/5
Let t(u) = 4*u**3 - 70*u**2 + 46*u + 7. Let v(k) = 2*k**3 - 23*k**2 + 15*k + 2. Let a(y) = -4*t(y) + 13*v(y). Factor a(d).
(d - 1)*(2*d - 1)*(5*d - 2)
Let m = 70 - 88. Let p be m/90 - (-34)/20. Suppose p*q**3 + 3/2*q + 0 - 3*q**2 = 0. Calculate q.
0, 1
Let i(r) be the first derivative of -8/5*r - 48/25*r**5 + 16 - 22/5*r**2 - 94/15*r**3 - 97/20*r**4 - 3/10*r**6. Solve i(h) = 0.
-2, -1, -2/3
Let n(k) be the second derivative of 3/20*k**5 - 1/2*k**3 + 0 + 0*k**4 + 0*k**2 + 14*k. Solve n(o) = 0 for o.
-1, 0, 1
Let m(c) be the third derivative of c**7/140 + 13*c**6/40 + 141*c**5/40 - 91*c**4/4 + 49*c**3 - c**2 + 73*c. Determine l, given that m(l) = 0.
-14, 1
Find r such that 21*r**2 + 19*r + 10/3 = 0.
-2/3, -5/21
Let z = -272/3 + 547/6. Find t, given that -3/8*t**2 - t - z = 0.
-2, -2/3
Let f(u) be the first derivative of u**3/12 + 9*u**2/8 + 81. Factor f(a).
a*(a + 9)/4
Let w(s) be the second derivative of -5*s**7/168 + 19*s**6/24 + s**5/8 - 95*s**4/24 - 5*s**3/24 + 95*s**2/8 - s + 129. Let w(d) = 0. What is d?
-1, 1, 19
Let r(l) be the third derivative of -l**7/90 + l**6/180 + 7*l**5/180 - l**4/36 + 49*l**2 + 2. Find s, given that r(s) = 0.
-1, 0, 2/7, 1
Factor -33/2*n + 1/2*n**2 + 16.
(n - 32)*(n - 1)/2
Let v(d) be the first derivative of d**6/21 + 36*d**5/35 + 64*d**4/7 + 128*d**3/3 + 768*d**2/7 + 1024*d/7 + 14. Factor v(p).
2*(p + 2)*(p + 4)**4/7
What is g in -86/15*g + 2/15*g**3 + 4 + 8/5*g**2 = 0?
-15, 1, 2
Suppose -25*i + 77 = 2. Let o(r) be the first derivative of 0*r**2 - 6 + 2/3*r**i - 5/4*r**4 + 0*r - 7/5*r**5. Let o(l) = 0. Calculate l.
-1, 0, 2/7
Let f = 7186 - 7177. Factor 6*z + f*z**2 + 0 + 3/4*z**4 + 9/2*z**3.
3*z*(z + 2)**3/4
Let s(d) be the first derivative of 0*d - 1/60*d**5 + 0*d**4 - 4 + d**2 - 1/120*d**6 + 0*d**3. Let m(u) be the second derivative of s(u). Solve m(x) = 0.
-1, 0
Let b(j) = -j - 5. Let a be b(-9). Factor -5*i - 11*i - 4*i**2 - a*i**3 + 24*i.
-4*i*(i - 1)*(i + 2)
Let r(w) = 3*w - 4. Let a be r(6). Find y, given that -64*y**3 - 8 + 62*y**3 + 4*y**2 - 23*y - a*y**2 + 7*y = 0.
-2, -1
Let 7*o - 282*o + 90 - 105*o**3 + 5*o**4 - 1079*o**2 + 1364*o**2 = 0. Calculate o.
1, 18
Let f(g) = -3*g**2 + 2*g + 7. Let u(t) = 7*t**2 - 3*t - 15. Let k(v) = -15*f(v) - 6*u(v). Let k(x) = 0. Calculate x.
-1, 5
Determine n, given that 9*n**2 - 8*n + 5/2 - 4*n**3 + 1/2*n**4 = 0.
1, 5
Let l be 14/21 - 26/(-6). Suppose 7*i**5 + 7*i**3 + 15*i**4 + i**l - 2*i**2 + 3*i**2 + i**5 = 0. What is i?
-1, -1/3, 0
What is u in u**5 - 3/2*u**2 + 19/4*u**4 + 0*u + 19/4*u**3 + 0 = 0?
-3, -2, 0, 1/4
Let t(c) = -3*c**2 + 39*c - 88. Let d be t(10). Factor 1/2 - 7/2*y + 15/2*y**d - 13/2*y**3 + 2*y**4.
(y - 1)**3*(4*y - 1)/2
Let v(z) be the third derivative of z**5/420 - 3*z**3/14 + 19*z**2 + 2*z. Determine o so that v(o) = 0.
-3, 3
Solve 8/5*z**2 - 22/5*z + 2/5*z**3 + 12/5 = 0 for z.
-6, 1
Let x(v) be the second derivative of v**7/5040 + v**6/720 + v**5/240 - v**4/2 + v. Let u(z) be the third derivative of x(z). Factor u(p).
(p + 1)**2/2
Let c(b) be the second derivative of b**7/98 + 4*b**6/35 + 147*b. Let c(f) = 0. Calculate f.
-8, 0
Suppose 4 = -2*c, -2*w - 6*c = -5*c + 16. Let n(r) = -4*r - 28. Let h be n(w). Solve h + 2/15*f - 2/5*f**2 + 2/15*f**3 - 4/15*f**5 + 2/5*f**4 = 0.
-1, 0, 1/2, 1
Let p(u) = u**2 - 10*u - 7. Let s be p(11). Let d = -3039/7 + 435. Factor -d*m**2 - 6/7*m**3 - 2/7*m + 0 - 2/7*m**s.
-2*m*(m + 1)**3/7
Let v(h) be the first derivative of h**7/1260 - h**6/108 + h**5/60 + h**4/4 - 5*h**3 + h**2 - 27. Let n(z) be the third derivative of v(z). Factor n(j).
2*(j - 3)**2*(j + 1)/3
Let n(p) be the third derivative of 0*p + 1/25*p**5 + 0 + 1/150*p**6 + 1/10*p**4 + 2/15*p**3 - 12*p**2. Determine z so that n(z) = 0.
-1
Suppose 0*c = -68*c + 185*c + 882*c. Factor c - 4/9*i**2 - 28/9*i.
-4*i*(i + 7)/9
Let g(w) be the first derivative of 3*w**4/20 - 23*w**3/5 - 3*w**2/10 + 69*w/5 - 362. Determine a so that g(a) = 0.
-1, 1, 23
Let k(o) = 6*o**3 + 3*o**2 + o - 11. Let v(z) = z**3 + z - 1. Let j(c) = k(c) - 4*v(c). Let g(s) = -s**3 + s + 1. Let b(w) = -3*g(w) - j(w). Factor b(n).
(n - 2)**2*(n + 1)
Let g be -17 - ((-1548)/15)/6. Let d be (-17)/(-20) - 1/4. Factor -3/5*q**3 - 1/5*q + d*q**2 + g*q**4 + 0.
q*(q - 1)**3/5
Let w(d) be the second derivative of -95/24*d**4 - 5/2*d**3 + 0*d**2 + 0 - 3/4*d**6 - 5/84*d**7 - 21/8*d**5 - 20*d. Solve w(j) = 0 for j.
-6, -1, 0
Let x(q) be the second derivative of -q**4/30 + 52*q**3/15 - 51*q**2/5 + 182*q - 2. Find h such that x(h) = 0.
1, 51
Let u(d) be the first derivative of -5*d**3/3 - 15*d**2 + 35*d + 93. Solve u(k) = 0.
-7, 1
Let y(z) be the third derivative of -z**7/490 + z**6/280 + 17*z**5/140 + 15*z**4/56 + 3*z**2 + 29*z. Suppose y(w) = 0. Calculate w.
-3, -1, 0, 5
Let b(z) be the third derivative of -z**8/336 - z**7/30 - 3*z**6/20 - 11*z**5/30 - 13*z**4/24 - z**3/2 - 47*z**2 - 2*z. 