32/7*g**3 + 208/7*g**2 + 450/7*g.
2*(g + 2)*(4*g + 9)**2/7
Let y(d) be the third derivative of d**8/126 - d**7/63 + d**6/180 - 337*d**2. Factor y(c).
2*c**3*(c - 1)*(4*c - 1)/3
Suppose -29 - 43 = -58*u + 44. Determine h so that 1/5*h**5 + 0*h + 0 - 3/5*h**3 + 0*h**4 + 2/5*h**u = 0.
-2, 0, 1
Let q = 627 + -6893/11. Factor 2/11*c + 4/11*c**2 - 2/11*c**5 + 0 + 0*c**3 - q*c**4.
-2*c*(c - 1)*(c + 1)**3/11
Let s(w) be the second derivative of w**8/43680 - w**6/1560 + w**5/390 + 13*w**4/4 + 47*w. Let n(h) be the third derivative of s(h). Factor n(u).
2*(u - 1)**2*(u + 2)/13
Factor -2048/3*v**5 - 21056*v**3 - 21168*v**2 + 64827/2 + 33957/2*v - 19456/3*v**4.
-(v - 1)*(8*v + 21)**4/6
Suppose 2*v - 4 = 3*k - 2, 3*v = -k + 14. What is q in -11*q**k + 9*q**2 - 3*q**2 = 0?
0
Suppose -2 = y - 0, -4*t + 2*y = -788. Suppose 80*o + 85 - 41 + 80 + t + 5*o**2 = 0. What is o?
-8
Let h = -13411/24 + 4545/8. Let -16/3 + h*q - 8/3*q**2 - 4/3*q**3 = 0. Calculate q.
-4, 1
Solve -25/4*k**3 + 405/4 - 531/4*k + 215/4*k**2 = 0.
9/5, 5
Suppose 0 = 2*r + 6 - 12. Factor -2 + v**2 + r*v**2 - 14*v + 4*v**2 - 2.
2*(v - 2)*(4*v + 1)
Let x(r) be the first derivative of 13*r**5/270 + r**4/54 + 2*r**2 - 22. Let o(p) be the second derivative of x(p). Determine g, given that o(g) = 0.
-2/13, 0
Let z(n) = -11*n**2 + 464*n + 16896. Let o(w) = 3*w**2 - 154*w - 5631. Let k(j) = -7*o(j) - 2*z(j). Factor k(g).
(g + 75)**2
Let u(k) be the first derivative of -k**6/420 + 2*k**5/105 - 5*k**4/84 + 2*k**3/21 - k**2/2 - 8. Let y(h) be the second derivative of u(h). Factor y(g).
-2*(g - 2)*(g - 1)**2/7
Let i be (-321)/(-12) + ((-33)/12 - -3). Let h be (i/36)/(6/22). Find y such that 9/4*y**4 + 0 + 0*y + 1/2*y**2 - h*y**3 = 0.
0, 2/9, 1
Let s(q) be the second derivative of 3*q**5/140 - 23*q**4/14 + 240*q**3/7 + 1728*q**2/7 - 843*q. Factor s(f).
3*(f - 24)**2*(f + 2)/7
Factor -40/3*d + 5/3*d**2 - 55.
5*(d - 11)*(d + 3)/3
Let k(m) = 5*m + 2. Let u be k(-1). Let w be 1 - (u - (-3 + 2)). Determine b, given that -2/7*b**2 + 0 - 2/7*b**5 + 0*b + 2/7*b**w + 2/7*b**4 = 0.
-1, 0, 1
Let s(t) be the third derivative of -t**5/135 + 2*t**4/3 - 24*t**3 + 95*t**2. Factor s(j).
-4*(j - 18)**2/9
Let l(z) = z**3 + 5*z**2 + 4*z + 4. Let p be l(-3). Let t be 13*1 - (p - 8). Let t - 9 + 2*k**2 - 2 - 4*k + 2*k**3 = 0. Calculate k.
-2, 0, 1
Solve -1/6*p**3 + 0 - 5*p**2 - 75/2*p = 0.
-15, 0
Let f(a) be the third derivative of -5*a**6/24 - 2*a**5/3 - 5*a**4/24 + 5*a**3/3 + 2*a**2 - 9*a. Determine q, given that f(q) = 0.
-1, 2/5
Let s(y) be the first derivative of -2*y**3/21 - y**2/7 + 4*y/7 - 69. What is o in s(o) = 0?
-2, 1
Let l(x) be the third derivative of -x**4/24 + 2*x**3/3 - 7*x**2. Let y be l(0). Let -18*r**3 + 3*r**2 + r**2 + 3*r**y + 19*r**2 + 4*r**2 = 0. Calculate r.
0, 3
Let n be ((-21)/15*1/7)/(-1). Suppose n*v - 1/5*v**2 + 6/5 = 0. What is v?
-2, 3
Suppose 7*v + 3*k = 5*v + 15, -5*k + 25 = -5*v. Find n such that 0 + 3/5*n**4 - 3/5*n**3 + v*n**2 + 0*n = 0.
0, 1
Let q(m) be the first derivative of m**7/2240 - m**5/320 + 8*m**3/3 + 19. Let c(u) be the third derivative of q(u). Determine l, given that c(l) = 0.
-1, 0, 1
Let a(s) be the third derivative of -s**7/280 + 7*s**6/120 - 3*s**5/80 - 8*s**2 + 1. Factor a(g).
-g**2*(g - 9)*(3*g - 1)/4
Let q be ((-39)/(-60))/13*3. Let p(v) be the second derivative of 4*v + q*v**5 + 0*v**4 + 9/14*v**7 + 0 - 3/5*v**6 + 0*v**2 + 0*v**3. Factor p(c).
3*c**3*(3*c - 1)**2
Suppose 0 = 4*c - 0*o - 2*o - 46, -c = o - 13. Let r = c + -10. Factor 2*n**3 - 1/2*n**4 + r*n - 1/2 - 3*n**2.
-(n - 1)**4/2
Let b(z) be the second derivative of -z**6/720 - z**5/360 - 2*z**3/3 - 11*z. Let p(g) be the second derivative of b(g). Find i, given that p(i) = 0.
-2/3, 0
Suppose -c = 5*h - 4, -4*h + 5*c - 16 = 4. Suppose 2/7*i**2 + h*i - 8/7 = 0. What is i?
-2, 2
Let s = 34 + -31. Suppose -4*k + 15 = -5*r - k, -s*r + 4*k = 20. Factor -1/7*v**3 + 0*v**2 + r + 0*v + 1/7*v**4.
v**3*(v - 1)/7
Let i(g) = 2*g**4 + 12*g**3 + 20*g**2 + 2*g + 2. Let n(m) = -2*m**4 - 11*m**3 - 18*m**2 - 3*m - 3. Let k(u) = 3*i(u) + 2*n(u). Factor k(a).
2*a**2*(a + 3)*(a + 4)
Suppose n + 2 - 8 = -r, 2*n = 3*r + 2. Suppose 1 + 2*j**r + 3 - 13*j + 24*j - 17*j = 0. Calculate j.
1, 2
Let i(b) be the second derivative of -b**4/12 - 2*b**3/3 + 3*b**2/2 + b. Let f be i(-4). Let 3*a - f*a**3 - 4*a**2 + 7*a**2 + 0*a**4 - 3*a**4 = 0. What is a?
-1, 0, 1
Let k = -220 + 227. Let s(o) be the third derivative of -2*o**2 + 0*o + 0*o**5 + 1/54*o**4 - 1/945*o**k + 1/27*o**3 - 1/270*o**6 + 0. Factor s(u).
-2*(u - 1)*(u + 1)**3/9
Factor -5*k - k**2 + 6*k**2 - 25*k.
5*k*(k - 6)
Let r(x) = 4*x**4 - 12*x**2 + 8*x. Let t(b) = 8*b**4 - 24*b**2 + 16*b. Let i = -13 + 6. Let c(o) = i*r(o) + 4*t(o). Find a such that c(a) = 0.
-2, 0, 1
Let x(b) be the third derivative of -b**7/3150 - b**6/450 + 9*b**4/8 + 24*b**2. Let l(k) be the second derivative of x(k). Solve l(r) = 0 for r.
-2, 0
Let t(f) be the second derivative of 0 - 25/21*f**7 + 0*f**2 - 12/5*f**5 - 3*f**6 - 2/3*f**4 + 0*f**3 - 27*f. What is x in t(x) = 0?
-1, -2/5, 0
Let f(g) be the second derivative of -g**7/14 + g**6/10 + 3*g**5/20 - g**4/4 + 195*g. Factor f(q).
-3*q**2*(q - 1)**2*(q + 1)
Suppose 0 = -w - 2*w - 2*s + 4, 2*w - 16 = 2*s. Suppose -w*a + 5 = 5. Suppose 4/13*q**2 + a*q + 0 + 6/13*q**3 - 6/13*q**5 - 4/13*q**4 = 0. What is q?
-1, -2/3, 0, 1
Let d be 52*14/(-56) + 19. Find c such that 3/4*c**4 + 0 - 21/4*c**3 + 12*c + d*c**2 = 0.
-1, 0, 4
Let m(j) be the third derivative of -j**7/10080 - j**6/576 + j**4/12 + 43*j**3/6 + 2*j**2 + 14. Let y(n) be the second derivative of m(n). Factor y(g).
-g*(g + 5)/4
Let x be 128/28 + 3/7. Suppose 2*f - 9 = d, x*f + 0*f + 4*d + 10 = 0. Suppose -f*u**2 + 2*u**2 + 3*u**2 - 3 = 0. Calculate u.
-1, 1
Let o(u) be the second derivative of -1/75*u**5 - 4/15*u**3 + 2*u - 1/10*u**4 - 7/2*u**2 + 0. Let h(i) be the first derivative of o(i). Factor h(w).
-4*(w + 1)*(w + 2)/5
Let l(t) be the first derivative of -t**6/21 + 2*t**5/7 - 3*t**4/14 - 10*t**3/21 + 4*t**2/7 + 373. Suppose l(p) = 0. What is p?
-1, 0, 1, 4
Let y(j) be the first derivative of 1/6*j**5 + 3*j + 1/9*j**4 - 5/9*j**3 - 8 - 2/3*j**2. Let d(h) be the first derivative of y(h). Determine r so that d(r) = 0.
-1, -2/5, 1
Let n(l) be the first derivative of -30 + 0*l + 1/2*l**2 + 1/3*l**3. Factor n(j).
j*(j + 1)
Let o(p) = p + 13. Let y be o(-9). Find d, given that -26*d**2 + 33*d**3 - 3*d + 0*d - 9*d**y + 7*d**2 + 6*d = 0.
0, 1/3, 3
Let t(j) be the third derivative of -j**6/60 - 61*j**5/180 - 65*j**4/72 - j**3 - 215*j**2. Factor t(b).
-(b + 9)*(2*b + 1)*(3*b + 2)/3
Let u(n) be the third derivative of -n**7/1260 - n**6/120 - n**5/120 + 5*n**4/72 + 124*n**2. Factor u(i).
-i*(i - 1)*(i + 2)*(i + 5)/6
Let a(g) be the third derivative of -g**6/1980 + g**5/660 - 7*g**3/6 + 14*g**2. Let h(d) be the first derivative of a(d). Let h(v) = 0. What is v?
0, 1
Factor 0*z**2 + 0 - 4/3*z**4 - 2*z**3 + 2/3*z.
-2*z*(z + 1)**2*(2*z - 1)/3
Let y = 905 - 905. Let c(a) be the third derivative of 2/75*a**5 + 1/525*a**7 + 7*a**2 - 1/75*a**6 + 0*a**3 + 0*a + y + 0*a**4. Solve c(m) = 0 for m.
0, 2
Let w(x) be the third derivative of -x**7/2520 - x**6/240 + x**5/30 + 5*x**4/12 - 25*x**2. Let p(t) be the second derivative of w(t). Factor p(j).
-(j - 1)*(j + 4)
Let k(q) = q**3 - 7*q**2 + 5*q + 8. Let s(z) = 2*z - 2. Let r be s(4). Let v be k(r). Factor -3 - 2*p + v*p**2 - 4*p + 0*p - 5*p**2.
-3*(p + 1)**2
Let k(m) be the first derivative of -m**3/3 - 13*m**2/2 + 207. Factor k(i).
-i*(i + 13)
Suppose 4*k + 3*h = 49, 2*k - 4*h = 6*k - 52. Let r(s) be the first derivative of s**3 + 0*s**3 + k*s - 6*s**2 + 2*s + 7. What is w in r(w) = 0?
2
Let g be ((-9)/(-7))/1 - 1. Let x = 7349/7 + -1049. Find u, given that x*u - g - 4/7*u**2 = 0.
1/2, 1
Suppose -5*s - 4*y + 29 = 0, -3*y = 4*s + 2*y - 16. Suppose -a - s = -4*a. Suppose -4/13*l**2 + 4/13 + 6/13*l + 2/13*l**5 - 8/13*l**a + 0*l**4 = 0. Calculate l.
-1, 1, 2
Let i(y) be the second derivative of -y**5/4 - y**4/6 + 19*y**3/6 - 6*y**2 + 2*y + 8. Find m, given that i(m) = 0.
-12/5, 1
Let d(i) be the third derivative of -3*i**5/16 + i**4/16 - 55*i**2. Suppose d(j) = 0. What is j?
0, 2/15
Factor 2 + 3*i**3 + 33*i**2 + 10 - 42*i**2.
3*(i - 2)**2*(i + 1)
Let l(p) = -p**2 - 578*p + 82946. Let c