 + 34*l**2. Solve o(t) = 0.
-3, -1, -2/5, 0, 3
Let j(k) be the second derivative of 1/30*k**6 - 13*k + 0*k**2 + 0*k**3 + 0*k**5 + 0 - 1/12*k**4. Suppose j(r) = 0. Calculate r.
-1, 0, 1
What is o in 27 + 81*o - 6*o**2 + 1/3*o**4 - 18*o**3 + o**5 = 0?
-3, -1/3, 3
Let s(m) be the third derivative of -m**5/15 + m**4/2 - 4*m**3/3 - 276*m**2. Factor s(z).
-4*(z - 2)*(z - 1)
Factor 8 - 2/3*r - 1/3*r**2.
-(r - 4)*(r + 6)/3
Let b(q) be the third derivative of q**7/42 + 73*q**6/24 + 71*q**5/12 - 365*q**4/24 - 60*q**3 + 334*q**2. Factor b(o).
5*(o - 1)*(o + 1)**2*(o + 72)
Factor -2/5*i**2 + 0 + 12/5*i.
-2*i*(i - 6)/5
Let j(x) be the third derivative of x**5/15 - x**4/3 - 11*x**2. Let j(u) = 0. What is u?
0, 2
Let a be (-1)/(-27)*-3 + (-1)/(-9). Let z(p) be the first derivative of -1 + a*p**3 + 0*p - 3/5*p**5 + 0*p**2 - 3/2*p**4. Determine l so that z(l) = 0.
-2, 0
Let x = 21 + -19. Find j, given that -11*j + 7*j - 4*j**x + j - j**3 = 0.
-3, -1, 0
Let p(j) be the third derivative of -j**6/180 - 37*j**5/90 + 19*j**4/18 + 115*j**2. Solve p(c) = 0 for c.
-38, 0, 1
Let x = -4 + 8. Let v(j) = -57*j - 285. Let h be v(-5). Let f**x + 1/2*f**5 + 1/2*f**3 + 0*f + h*f**2 + 0 = 0. Calculate f.
-1, 0
Suppose -2*m - 9 = -0*m + 3*p, 3*p = m - 18. Factor 8 + 3*t**2 - m + 10*t + 2*t + 4.
3*(t + 1)*(t + 3)
Let z(t) be the first derivative of -3/35*t**5 + 2/7*t**3 - 19 + 0*t**4 + 0*t**2 - 3/7*t. Factor z(l).
-3*(l - 1)**2*(l + 1)**2/7
Let i(x) be the third derivative of x**5/240 - 7*x**4/8 + 83*x**3/24 + 5*x**2 - 28*x. Solve i(h) = 0.
1, 83
Let f(p) be the third derivative of 0 + 2/39*p**4 - 1/78*p**5 + 0*p - 4/39*p**3 - 38*p**2 + 1/780*p**6. Suppose f(k) = 0. Calculate k.
1, 2
Let g(u) be the third derivative of -u**8/84 + 16*u**7/105 - 11*u**6/15 + 28*u**5/15 - 17*u**4/6 + 8*u**3/3 + 9*u**2 + 13*u. Factor g(x).
-4*(x - 4)*(x - 1)**4
Suppose 4*s - 2*g + 57 + 193 = 0, -2*s + 5*g - 121 = 0. Let j = s - -191/3. Solve j*z - 2/3*z**3 + 2/3 - 2/3*z**2 = 0 for z.
-1, 1
Suppose 0 = 11*w - 30*w + 95. Suppose -11*b + 12 = -w*b. Determine t, given that -2*t - 2 - 1/2*t**b = 0.
-2
Find a, given that -48*a**2 - 2*a**2 - 62*a**3 + 288*a + 2*a**2 + 22*a**3 - 4*a**4 = 0.
-6, 0, 2
Let n be (-51)/(-85) + 2/(-10) + 0. Factor 4*i + 10 + n*i**2.
2*(i + 5)**2/5
Let s = 5/5764 + 2877/5764. Solve -5/4*h**2 + s - 3/4*h = 0.
-1, 2/5
Suppose 0*b = 3*b - 9. Suppose -j + 1 + 1 = 0. Factor 2*t**j - 2*t**b - t**4 + 2*t + 0*t**3 - t**4.
-2*t*(t - 1)*(t + 1)**2
Let i(m) be the second derivative of 3*m + 0 - 3/20*m**4 + 0*m**5 - 1/5*m**3 + 0*m**2 + 1/50*m**6. Let i(j) = 0. Calculate j.
-1, 0, 2
Let g(r) = 2*r**2 - 98*r - 4. Let v(t) = 5*t**2 - 286*t - 11. Let q(o) = 11*g(o) - 4*v(o). Determine w so that q(w) = 0.
-33, 0
Let u(m) be the third derivative of -m**6/120 - m**5/20 + 2*m**3/3 - 49*m**2. Find c, given that u(c) = 0.
-2, 1
Let o(r) be the second derivative of 7/48*r**4 + 0*r**2 + 1/40*r**5 - 7/120*r**6 - 1/12*r**3 - 3*r + 0. Factor o(f).
-f*(f - 1)*(f + 1)*(7*f - 2)/4
Suppose -53*n = 57*n. Let b(w) be the third derivative of 2/105*w**7 + n - 5*w**2 + 0*w - 1/6*w**4 - 1/5*w**5 + 1/30*w**6 + 4/3*w**3. Factor b(g).
4*(g - 1)**2*(g + 1)*(g + 2)
Let 5/3*u**4 + u - u**3 - 7/3*u**2 + 2/3 = 0. Calculate u.
-1, -2/5, 1
Suppose 6*k - k + 5 = -3*m, -13 = k + 3*m. Determine x so that 0 - 2/3*x + 1/3*x**k = 0.
0, 2
Let r be (-2)/(2*(-3)/9). Suppose 0 = 2*v + r*v. Determine s, given that v*s**5 - s**3 + 3*s**3 - 3*s**2 + 3*s**5 - 9*s**4 + 7*s**3 = 0.
0, 1
Suppose 12 = 15*z + 12. Solve -2/11*p + z + 6/11*p**2 + 8/11*p**3 = 0.
-1, 0, 1/4
Let y(o) be the second derivative of -o**6/10 - 3*o**5/5 - 3*o**4/2 - 2*o**3 - 3*o**2/2 + 59*o. Factor y(d).
-3*(d + 1)**4
Let x = -1/116072 + 45848783/39812696. Let t = -3/343 + x. Solve 6/7*c**3 + t*c - 16/7 + 20/7*c**2 = 0 for c.
-2, 2/3
Let t(r) be the first derivative of 4*r**7/21 + r**6/5 - r**5/10 + 15*r + 14. Let c(v) be the first derivative of t(v). Factor c(n).
2*n**3*(n + 1)*(4*n - 1)
Let v be (0*16/288)/(2*1). Factor -2/3*q + q**4 + 1/3*q**3 + v + 1/3*q**5 - q**2.
q*(q - 1)*(q + 1)**2*(q + 2)/3
Let n = 20 + -17. Let r be -27*n/(-54)*3. Factor 27/2*i - r*i**4 + 33/2*i**3 - 3 - 45/2*i**2.
-3*(i - 1)**3*(3*i - 2)/2
Let r(l) = l**3 - 2*l**2 + 1. Let a be r(4). Let 33 - a - 5*w**2 - 15*w = 0. Calculate w.
-3, 0
Suppose 23*g**2 - 260*g + 3380 - g**2 - 8*g**2 - 9*g**2 = 0. What is g?
26
Determine f so that 2/15*f**4 + 0 + 56/15*f**3 - 8*f**2 + 0*f = 0.
-30, 0, 2
Let s(j) be the second derivative of j**6/40 + 3*j**5/80 - 3*j**4/8 - j**3/2 + 3*j**2 - 112*j + 1. Factor s(r).
3*(r - 2)*(r - 1)*(r + 2)**2/4
Suppose -8 = 5*f - 28. Suppose 3*y = -f*a + 2*y, -2*a - 2*y = 0. Factor -6*v + 2 + a*v**2 + 4*v**2 + 0*v.
2*(v - 1)*(2*v - 1)
Let t(l) be the third derivative of l**5/150 + l**4/15 + 80*l**2. Factor t(g).
2*g*(g + 4)/5
Let n(z) be the third derivative of z**5/60 + z**4/12 - 4*z**3/3 - 5*z**2 + z. Suppose n(y) = 0. What is y?
-4, 2
Let r(b) be the second derivative of 7*b**4/12 - 10*b**3 + 16*b**2 + 2*b + 142. What is a in r(a) = 0?
4/7, 8
Let o(i) = -3 + 11 - 2*i**2 + 7*i**2 - 4*i**2 - 6*i. Let g be o(2). Factor -2/3*z**2 + g + 0*z + 2/3*z**3.
2*z**2*(z - 1)/3
Suppose -11 + 5 = -3*x. Let w be 17/3 + x/(-3). Suppose -13*y**2 + 24*y - 12 - 5*y**w + 17*y**4 - 11*y**3 + 8 - 8*y = 0. Calculate y.
-1, 2/5, 1, 2
Let i(d) = 2*d**4 - d**3 - d - 1. Let h(n) = -n**4 + 3*n**3 + 5*n**2 - 7*n - 2. Let v(w) = h(w) - 2*i(w). Factor v(m).
-5*m*(m - 1)**2*(m + 1)
Let t(s) = -s. Let h(i) = -4*i**2 - 12*i - 19*i - 16 - 20 + 5*i. Let m(n) = -h(n) + 2*t(n). What is o in m(o) = 0?
-3
Let -5*q**2 + 80476 - 27576 + 2*q**2 + 7*q**2 + 920*q = 0. What is q?
-115
Let t(y) = 80*y**2 + 46710*y + 4040360. Let p(b) = -3*b**2 - 1730*b - 149643. Let x(k) = 55*p(k) + 2*t(k). Solve x(z) = 0.
-173
Let i = 2/38465 - -307694/500045. Factor -6/13*z**2 - 2/13 - i*z.
-2*(z + 1)*(3*z + 1)/13
Factor 11*w - 23*w - 7*w - 80*w**2 - 30*w**4 - 5*w**5 - 10 - 70*w**3 - 26*w.
-5*(w + 1)**4*(w + 2)
Find o such that 8/19*o**2 - 6/19*o**5 - 20/19*o**4 + 0 + 8/19*o - 14/19*o**3 = 0.
-2, -1, 0, 2/3
Let z(c) = -11*c**2 + 17*c. Let y(q) = 6*q**2 - 9*q. Let w = -15 - -20. Let k(o) = w*y(o) + 3*z(o). Find r, given that k(r) = 0.
0, 2
Factor 0*c - 2093*c**2 + 4*c + 2077*c**2.
-4*c*(4*c - 1)
Factor -1309 + 15*v**2 + 65*v + 1234 - 2*v**3 - 3*v**3.
-5*(v - 5)*(v - 1)*(v + 3)
Let l be 0/((-22)/6*-3). Let t(v) be the first derivative of l*v - 9/2*v**2 - 14 + 4*v**3 - 3/4*v**4. Factor t(u).
-3*u*(u - 3)*(u - 1)
Suppose g = -4*g + 30. Let x(k) = 6*k**3 + 7*k**2 + k + 7. Let y(b) = -5*b**3 - 6*b**2 - b - 6. Let p(a) = g*x(a) + 7*y(a). Suppose p(z) = 0. Calculate z.
-1, 0, 1
Let r(i) be the second derivative of 2/15*i**3 - 19/100*i**5 + 7/150*i**6 + 0*i**2 + 20*i + 1/70*i**7 + 0 + 1/12*i**4. Find d, given that r(d) = 0.
-4, -1/3, 0, 1
Let q be (2770/3324)/((-5)/(-3)). Suppose -q*h**2 - 9/2 - 5*h = 0. Calculate h.
-9, -1
Let w(u) = -12*u**3 + 84*u**2 - 87*u - 15. Let h(d) = 3*d**3 - 21*d**2 + 22*d + 4. Let j(t) = 15*h(t) + 4*w(t). Suppose j(q) = 0. Calculate q.
0, 1, 6
Let n be (-2)/56 - (-6)/21. Let v be (24/(-144))/(6/(-9)). Find b such that 0*b - n*b**2 + v*b**3 + 1/4*b**4 - 1/4*b**5 + 0 = 0.
-1, 0, 1
Let d be (4 - 4)/(-4)*-1. Let o(c) = 3*c**2 + 3. Let w be o(d). Factor -2/11*g**w + 0 + 2/11*g**2 - 2/11*g**4 + 2/11*g.
-2*g*(g - 1)*(g + 1)**2/11
Let q be 140/7 + -8 - 10. Factor 3*w**q - 1/3*w**3 + 9 - 9*w.
-(w - 3)**3/3
Let r(w) be the first derivative of 2*w**6/3 + 21*w**5/5 + 21*w**4/4 + 4*w**3/3 + 234. Factor r(t).
t**2*(t + 1)*(t + 4)*(4*t + 1)
Let g be (12/16 + -2)*-4. What is i in 2*i**5 - 10*i**3 + 10*i**4 + 14*i**2 - 8*i**3 - 4*i - 4*i**g = 0?
0, 1, 2
Let n(v) be the second derivative of -2/15*v**3 + 12*v + 0 - 1/10*v**2 - 1/25*v**5 - 1/10*v**4 - 1/150*v**6. Determine t so that n(t) = 0.
-1
Suppose 473*s - 417*s - 3*s**2 + 60 - s**2 = 0. What is s?
-1, 15
Solve -722/5 - 76/5*q - 2/5*q**2 = 0.
-19
Let d(g) = -12*g**3 + g**2 - g + 1. Let t(x) = 214*x**3 - 212*x**2 + 18*x - 18. Let h(u) = 36*d(u) + 2*t(u). Factor h(y).
-4*y**2*(y + 97)
Let k(w) be the third derivative of 0 + 0*w + 0*w**3 + 0*w**4 - w**2 + 1/30*w**5. Let y(r) = -r**2. Let b(m) = -4*k(m) - 7*y(m). Factor b(z).
-z**2
Let a(z) be the third derivative of -z**5/390 + 11*z**4