x**5 + 0*x**4 - 1/60*x**6 + 0*x + 0. Solve q(w) = 0.
-2, 0
Let h = 69 - 65. Determine z so that 0*z**3 + 4*z**3 - 6*z + 0*z**3 - 2*z**3 - h = 0.
-1, 2
Let c be 6 + 91/(-7) - (-204)/28. Factor -c*y**3 - 2/7*y**2 + 8/7 + 8/7*y.
-2*(y - 2)*(y + 1)*(y + 2)/7
Factor -3/2 - 3/2*n**2 + 11/4*n + 1/4*n**3.
(n - 3)*(n - 2)*(n - 1)/4
Let o = 1303/930 - 30/31. Let h = 29/210 + o. Find m such that h*m - 2/7*m**2 + 6/7 = 0.
-1, 3
Let q(i) be the first derivative of -i**3/3 + 9*i**2 + 40*i - 324. Let q(r) = 0. What is r?
-2, 20
Factor 16/3*w - 14/3*w**2 - 2/3.
-2*(w - 1)*(7*w - 1)/3
Let b(k) be the first derivative of -27/4*k**2 + 3*k + 6*k**3 - 15/8*k**4 + 10. Solve b(v) = 0.
2/5, 1
Suppose -8*i + 12 = -20. Determine q so that -q**4 + 12 + 5*q**2 + 0*q**i - 24 + 8 = 0.
-2, -1, 1, 2
Let c(p) be the third derivative of p**3 - 3/40*p**4 + 1/100*p**5 - 1/1800*p**6 + 4*p**2 + 0*p + 0. Let r(j) be the first derivative of c(j). Factor r(f).
-(f - 3)**2/5
Let y be (-3)/14*(-61)/(3111/272). Find u, given that -6/7*u**3 + 4/7*u**2 + 0 - 5/7*u**4 - 1/7*u**5 + y*u = 0.
-2, 0, 1
Let f = 1390/9 + -154. Let p(s) be the second derivative of -1/18*s**4 + 0 - f*s**3 - 4*s - s**2. Determine q, given that p(q) = 0.
-3, -1
Factor 37/4*z + 19/4 + 17/4*z**2 - 1/4*z**3.
-(z - 19)*(z + 1)**2/4
Let k = -15/53 - -385/424. Let r(j) be the second derivative of 0 - 1/4*j**4 + 3/80*j**5 + k*j**3 - 5*j - 3/4*j**2. Factor r(u).
3*(u - 2)*(u - 1)**2/4
Let c(r) be the first derivative of -r**6/3 - 4*r**5/5 + 2*r**4 + 16*r**3/3 + 177. Solve c(n) = 0 for n.
-2, 0, 2
Let s(b) be the third derivative of -3*b**5/20 - b**4/8 + 2*b**3 - b**2 - 273. Let s(u) = 0. Calculate u.
-4/3, 1
Let b(f) be the second derivative of 2*f + 0 + 0*f**3 + 0*f**2 - 1/12*f**4 + 0*f**5 + 1/30*f**6. Factor b(w).
w**2*(w - 1)*(w + 1)
Factor -b**2 - 7*b - 47*b - 36 - 17 + 0*b**2 + 0.
-(b + 1)*(b + 53)
Let p = 2742 - 8222/3. Factor p + 121/3*t**2 + 44/3*t.
(11*t + 2)**2/3
Let u = -7125 + 7128. What is w in 3/7*w**2 + 0 - 3/7*w**4 + 0*w**u + 0*w = 0?
-1, 0, 1
Let z(i) = 3*i**2 - 1. Let y(u) = -2*u**2 - 5*u + 1. Let a(c) = -y(c) - z(c). Solve a(q) = 0.
0, 5
Let j = 1 + -1. Suppose u + 231*u = 554 - 90. Solve j*s + 10/9*s**3 + 0 + 4/9*s**4 - 10/9*s**5 - 4/9*s**u = 0 for s.
-1, 0, 2/5, 1
Let b(a) = -a**2 + a. Let r(c) = c. Let o = -18 + 20. Let d(f) = o*b(f) + 2*r(f). Factor d(k).
-2*k*(k - 2)
Let u(m) = -m**3 - 9*m**2 - 7*m + 2. Let r be u(-8). Let k be 1/3 - (-2)/r*-1. Suppose 0 - 1/3*s**3 + k*s + 1/3*s**2 = 0. Calculate s.
-1, 0, 2
Let g(i) = 310*i**2 - 210*i - 310. Let a(c) = 22*c**2 - 15*c - 22. Let s(t) = 85*a(t) - 6*g(t). Factor s(r).
5*(r - 2)*(2*r + 1)
Let c(g) be the first derivative of 1/2*g**2 + 1/6*g**3 + 0*g - 13. Find w such that c(w) = 0.
-2, 0
Let f = -860 - -111801/130. Let u(g) be the second derivative of -f*g**5 - 2/195*g**6 + 4*g + 1/39*g**4 + 0*g**3 + 0 + 1/273*g**7 + 0*g**2. Solve u(s) = 0.
-1, 0, 1, 2
Let o = -154/95 - -15449/9120. Let g(k) be the second derivative of -2*k - 7/24*k**3 - o*k**4 + 0 - 3/16*k**2 + 1/40*k**5. Factor g(w).
(w - 3)*(w + 1)*(4*w + 1)/8
Let x(i) = -i**2 - 53*i - 518. Let p be x(-13). Factor -3/2*f**p + 21/2 + 9*f.
-3*(f - 7)*(f + 1)/2
Let y(a) be the second derivative of -a**6/6 + 9*a**5/4 - 55*a**4/6 + 80*a**2 - 175*a. Factor y(b).
-5*(b - 4)**2*(b - 2)*(b + 1)
Let y(t) be the third derivative of t**6/1080 - t**5/60 - 5*t**4/108 - 62*t**2. Factor y(d).
d*(d - 10)*(d + 1)/9
Suppose -i = 5*v - 15, -3*v + 5*v + 5*i = 6. Suppose 4*p + 14 = v*f, -4*f - 7*p = -3*p. Let f*g - 48/13*g**2 - 4/13 + 18/13*g**3 = 0. What is g?
1/3, 2
Let j(c) = c**4 + 20*c**3 + 119*c**2 + 167*c + 72. Let a(t) = 2*t**4 + 30*t**3 + 178*t**2 + 250*t + 108. Let y(n) = -5*a(n) + 8*j(n). Factor y(q).
-2*(q - 9)*(q + 1)**2*(q + 2)
Let u(t) = t**2 - 5 + 20*t - 3*t - t - 10*t. Let s be u(-7). Let 2/5*p**5 - 2/5*p + 0*p**3 + 4/5*p**s - 4/5*p**4 + 0 = 0. What is p?
-1, 0, 1
Let u(c) be the third derivative of c**8/336 - c**7/70 - c**6/40 + 11*c**5/60 - c**4/4 - 142*c**2. Suppose u(w) = 0. Calculate w.
-2, 0, 1, 3
Let w(f) be the second derivative of f**5/20 - 3*f**4/8 - 2*f**3 - 11*f**2/2 - 13*f. Let r(h) be the first derivative of w(h). Factor r(i).
3*(i - 4)*(i + 1)
Let v(s) be the third derivative of -s**6/120 - s**5/15 - s**4/24 + s**3 + 27*s**2. Factor v(j).
-(j - 1)*(j + 2)*(j + 3)
Let y(a) = -a**3 + 9*a**2 - 13*a - 17. Let h be y(7). Let w be 3*20/(-48)*2/h. Suppose -w*f**2 - 1/2*f + 0 = 0. Calculate f.
-2, 0
Let y(o) = 10*o**2 - 8*o + 16. Let s(g) = -g**2. Let k be 2 - 2 - (-9 + 45). Let r(f) = k*s(f) - 4*y(f). Suppose r(i) = 0. What is i?
4
Let j(n) be the third derivative of n**5/330 + 4*n**4/33 + 63*n**2. Factor j(a).
2*a*(a + 16)/11
Let s(o) = -5*o**3 + 107*o**2 + 887*o + 784. Let n(j) = 2*j**3 - 54*j**2 - 444*j - 392. Let r(m) = 9*n(m) + 4*s(m). Determine z, given that r(z) = 0.
-14, -1
Let u(l) be the third derivative of l**7/21 + 19*l**6/16 + 95*l**5/12 + 85*l**4/4 + 50*l**3/3 - l**2 - 182*l. What is v in u(v) = 0?
-10, -2, -1/4
Factor -2/9*p**2 + 20/9*p - 32/9.
-2*(p - 8)*(p - 2)/9
Let r(t) be the second derivative of t**4/48 - t**3/6 + 3*t**2/8 - 324*t. Factor r(w).
(w - 3)*(w - 1)/4
Let j(m) be the first derivative of -12 - 100/9*m**3 + 0*m + 10/3*m**2 + 85/12*m**4 - 4/3*m**5. Find o such that j(o) = 0.
0, 1/4, 2
Let f(n) be the third derivative of -n**6/48 + 81*n**5/40 - 71*n**4/24 - 8*n**3 - 62*n**2. Factor f(h).
-(h - 48)*(h - 1)*(5*h + 2)/2
Let 3/4*z**2 - 51*z + 867 = 0. What is z?
34
Find a, given that 0*a - 5/2*a**4 + 0*a**3 + 0*a**2 - 1/2*a**5 + 0 = 0.
-5, 0
Suppose 52*r = -52*r. Solve 9/2*n**3 - 6*n**2 - 6*n + r = 0 for n.
-2/3, 0, 2
Solve 36/13*l + 240/13*l**4 + 0 + 462/13*l**3 - 274/13*l**2 - 32/13*l**5 = 0 for l.
-2, 0, 1/4, 9
Let o(k) be the third derivative of 0*k + 13/420*k**5 - 1/210*k**6 + 0 + 8*k**2 + 1/21*k**3 - 11/168*k**4. Suppose o(w) = 0. What is w?
1/4, 1, 2
Suppose -22 = -0*s - 2*s + 4*h, 5*s = -2*h + 19. Factor 7*a**s + 9*a**3 + 1838*a**2 + 15*a**4 - 12*a - 4*a**5 - 1853*a**2.
3*a*(a - 1)*(a + 1)**2*(a + 4)
Let j(m) be the first derivative of -m**2/2 - m - 22. Let q(s) = 2*s**3 + 10*s**2 - 24*s - 32. Let v(o) = 44*j(o) - 2*q(o). Let v(c) = 0. Calculate c.
-5, -1, 1
Let a(p) be the first derivative of 1/2*p - 1/6*p**3 + 0*p**2 - 6. Factor a(r).
-(r - 1)*(r + 1)/2
Let l(f) be the third derivative of 2197*f**6/300 - 507*f**5/50 + 117*f**4/20 - 9*f**3/5 - 35*f**2. Determine u, given that l(u) = 0.
3/13
Let r = 3464/39 - 266/3. Let t = 46/39 + r. Factor 0 + 0*s - t*s**2 + 2/3*s**3.
2*s**2*(s - 2)/3
Let z = 19056 + -19054. Factor -k + 1/4*k**3 - 1/4*k**z + 1.
(k - 2)*(k - 1)*(k + 2)/4
Let r be (-8)/(-128) + (-40)/640. Factor r + 98/9*f + 2/9*f**3 - 28/9*f**2.
2*f*(f - 7)**2/9
Factor 0*s + 0 + 9/5*s**4 + 6/5*s**2 - 21/5*s**3.
3*s**2*(s - 2)*(3*s - 1)/5
Suppose 4*o = 3*o - 1. Let y be 22/6 - (o - -2 - 0). Let -4/3*w**2 + 4*w - y = 0. Calculate w.
1, 2
Let i(j) = -j**3 - 2*j**2 + j + 2. Let s be i(-3). Suppose -d - 3*d + s = 2*o, 5*o - 5*d = 5. Factor r**2 + 64 + r**2 + 32*r + 4*r**2 - 2*r**o.
4*(r + 4)**2
Find h, given that 9 - 3*h**3 + 6*h**3 - 9*h**2 + 2*h - 5*h = 0.
-1, 1, 3
Let n be (-927)/21*6/9. Let o = n - -30. Factor 0*r + 0 - o*r**3 + 2/7*r**2 + 2/7*r**4.
2*r**2*(r - 1)**2/7
Let -676 + 251*p + 26*p**3 - 22*p**3 + 529*p - 108*p**2 = 0. What is p?
1, 13
Let l be ((-58)/(-18) + -3)*(-30)/(-40). Let m(u) be the first derivative of -2/9*u**3 + 4 + 0*u**2 + 0*u + l*u**4. Factor m(k).
2*k**2*(k - 1)/3
Let c be (-1514)/10 - (-6 + 10). Let i = c + 156. Factor 4/5*q**2 - 1/5*q + i*q**3 - 2/5.
(q + 1)**2*(3*q - 2)/5
Suppose -3*t = 2*t - 3*r, -t + 4*r = 0. Let l(z) be the second derivative of 3/16*z**4 + 3/80*z**5 + z + 1/4*z**3 + 0*z**2 + t. Solve l(n) = 0 for n.
-2, -1, 0
Let h(n) be the third derivative of -n**5/330 + 3*n**4/11 - 108*n**3/11 + 82*n**2. Solve h(k) = 0.
18
Let w(v) be the first derivative of v**8/2856 + 2*v**2 - 26. Let r(f) be the second derivative of w(f). Factor r(g).
2*g**5/17
Find r such that 303*r**2 + 2*r**3 + 28*r**4 + 2 - 2 - 278*r**3 - 54*r - r**4 = 0.
0, 2/9, 1, 9
Let r = -1121/210 - -31/6. Let w = 4/35 - r. Determine v, given that 6/7*v**3 - 2/7*v**5 + 2/7*v**4 + 0 - w*v**2 - 4/7*v = 0.
-1, 0, 1, 2
Solve -1/2*o + 1/2*o**2 - 1 = 0.
-1, 2
Factor 34*j**