 p**3/21 - 6*p - 1. Find o such that c(o) = 0.
-2, 0
What is u in 20*u**3 - 3*u - 3 - 28*u**3 + 9*u**2 - 6 + 11*u**3 = 0?
-3, -1, 1
Let s(y) be the first derivative of -2*y**7/525 + y**6/150 - 5*y**2/2 - 27. Let n(b) be the second derivative of s(b). Let n(r) = 0. Calculate r.
0, 1
Suppose 0*u = -u - 2, 3*u = 3*h - 12. Factor s**3 - 5*s**2 + 3*s**2 - 15*s + 18*s + 1 + 5*s**h.
(s + 1)**3
Factor -1352/19 + 104/19*y - 2/19*y**2.
-2*(y - 26)**2/19
Let q(z) be the first derivative of 2*z**5/15 - 9*z**4 + 216*z**3 - 1944*z**2 + 123. Factor q(m).
2*m*(m - 18)**3/3
Let k be (1/175)/((-6)/(-10)). Let t(x) be the second derivative of -k*x**6 - 1/14*x**4 - 5*x + 1/21*x**3 + 0*x**2 + 0 + 3/70*x**5. Solve t(u) = 0 for u.
0, 1
Determine m, given that -25/2*m**2 - 51*m - 4 = 0.
-4, -2/25
Let s be (-198)/(-63) - 8/(-3 + 7). What is q in s*q + 16/7*q**2 + 0 + 2/7*q**4 + 10/7*q**3 = 0?
-2, -1, 0
Let y(f) be the third derivative of -f**8/10080 - f**7/1512 - f**6/540 - f**5/5 - 9*f**2. Let i(k) be the third derivative of y(k). Factor i(q).
-2*(q + 1)*(3*q + 2)/3
Let y(m) be the third derivative of m**8/560 - 13*m**7/840 + 2*m**6/45 - m**5/30 + 16*m**3/3 - 12*m**2. Let z(n) be the first derivative of y(n). Factor z(p).
p*(p - 2)**2*(3*p - 1)
Solve 304/7*c + 8*c**3 + 4/7*c**4 + 212/7*c**2 + 144/7 = 0 for c.
-9, -2, -1
Let m(b) be the second derivative of b**9/12096 - b**7/1680 + b**5/480 + 5*b**3/2 + 19*b. Let s(u) be the second derivative of m(u). Factor s(f).
f*(f - 1)**2*(f + 1)**2/4
Solve 3*j**3 - 155*j**2 + 78*j**2 + 80*j**2 - 15*j + 9 = 0 for j.
-3, 1
Let a(c) be the third derivative of -c**5/300 - c**4/20 + 14*c**2 + c. Factor a(k).
-k*(k + 6)/5
Suppose 2*f + 2 = 5*p, -2*f = p + 3*f + 5. Let y = p - 0. Find j, given that 0 + y*j**2 - 3/5*j**3 + 3/5*j = 0.
-1, 0, 1
Suppose -42*k - 15 = -47*k. Suppose 3*d + d - 16 = -4*r, -8 = -k*d + r. Factor 0 + 15/7*v**4 - 36/7*v**d - 6/7*v + 27/7*v**2.
3*v*(v - 1)**2*(5*v - 2)/7
Let y = 5646 - 28209/5. Factor 20 - 24*o - 1/5*o**3 + y*o**2.
-(o - 10)**2*(o - 1)/5
Let s(p) be the second derivative of -5*p**4/12 + 15*p**3 - 405*p**2/2 + p - 2. Let s(j) = 0. Calculate j.
9
Let n = 3704 + -3704. Let 0*l**2 + 2*l**4 + n + 0*l - 4/9*l**3 = 0. What is l?
0, 2/9
Let v(h) = 15*h**2 - 38*h - 150. Let d(n) = 5*n**2 - 13*n - 50. Let s(y) = -7*d(y) + 2*v(y). Let s(z) = 0. What is z?
-2, 5
Let b(h) be the third derivative of h**10/181440 + h**9/45360 + h**8/40320 + h**4/24 + 7*h**2. Let q(u) be the second derivative of b(u). Factor q(m).
m**3*(m + 1)**2/6
Let n = 690/13 - 52. Solve -28/13*t**3 - 8/13*t**2 + 14/13*t**5 + n*t + 4/13 + 4/13*t**4 = 0.
-1, -2/7, 1
Find t, given that 1/2*t**4 + 0*t**3 + 0 + 0*t - 1/6*t**5 + 0*t**2 = 0.
0, 3
Let m = -672 + 676. Let x(f) be the first derivative of 0*f**m + 2/9*f**6 + 0*f**2 + 1 + 0*f - 8/15*f**5 + 0*f**3. What is y in x(y) = 0?
0, 2
Let s = 1 - -1. Suppose -5*v**4 - 9*v**3 - v**5 - 63 - 7*v**2 + 63 - s*v = 0. Calculate v.
-2, -1, 0
Let x(g) be the second derivative of -g**4/28 + g**3/14 - 2*g + 36. Factor x(b).
-3*b*(b - 1)/7
Let j(h) be the third derivative of -h**7/105 + h**6/60 - 109*h**2. Factor j(y).
-2*y**3*(y - 1)
Let c = -103 + 106. Factor 2*b**c + 3*b**2 - 17*b**2 - 11*b + 8*b**2 + 3*b.
2*b*(b - 4)*(b + 1)
Let g(d) be the second derivative of -d**6/150 + 2*d**5/75 - d**4/30 + 2*d**2 + 8*d. Let y(t) be the first derivative of g(t). Factor y(u).
-4*u*(u - 1)**2/5
Let v be (-3)/10*6020/(-903). Let 0 + 0*u + 1/2*u**v = 0. Calculate u.
0
Let c be 56/16*15/((-1575)/(-24)). Determine s so that -12/5 - 8/3*s**2 + 4/5*s**4 - 2/15*s**5 + 26/5*s - c*s**3 = 0.
-2, 1, 3
Let k = -155 - -157. Let r = -19/6 - -11/3. What is j in -1/2 - r*j**k + j = 0?
1
Let x = 65 + -42. Suppose -x = -4*h - 11. Find r such that -1 + 130*r**2 + 7 - 225*r**h - 125*r**4 + 180*r + 34 = 0.
-2, -2/5, 1
Let s = -83389/13 - -6415. Determine g, given that 2/13*g**3 + 2/13 + s*g**2 + 6/13*g = 0.
-1
Let s(r) be the second derivative of 1/30*r**5 + 7*r - 1/2*r**2 + 0 + 0*r**3 + 1/12*r**4. Let m(l) be the first derivative of s(l). Find u, given that m(u) = 0.
-1, 0
Let f = 7 + -5. Suppose -5*a + 3*t = -15, -f*a - 3 + 9 = -5*t. What is i in 4*i + 0*i**4 + 21*i**2 - 24*i**2 + 4 - i**4 - 4*i**a = 0?
-2, -1, 1
Let j(i) be the third derivative of -i**5/540 + 5*i**4/36 - 29*i**3/54 - 2*i**2 - 6*i. Let j(l) = 0. What is l?
1, 29
Suppose -60 = 11*y - 16*y. Let s be (y/18)/(2/6). What is t in 4/5*t**3 - 4/5 + 8/5*t**s - 4/5*t**4 - 2/5*t - 2/5*t**5 = 0?
-2, -1, 1
Suppose 2*u + 18 = 4*b, -4*b + u = -0 - 15. Suppose 0 = c + r, -5*c - b*r + 3 + 1 = 0. Factor -3/2*l**c - 1/2*l**3 - 1/2 - 3/2*l.
-(l + 1)**3/2
Let x(p) be the first derivative of 2*p**3/21 - 188*p**2/7 + 17672*p/7 + 175. Factor x(a).
2*(a - 94)**2/7
Let x(z) be the first derivative of z**6/315 - z**5/105 - z**4/42 + 4*z**3/63 + 4*z**2/21 - 7*z - 1. Let a(l) be the first derivative of x(l). Factor a(c).
2*(c - 2)**2*(c + 1)**2/21
Let s(k) be the third derivative of -k**6/1320 + 13*k**5/660 + 29*k**4/264 + 5*k**3/22 + 52*k**2 - 2*k. Factor s(d).
-(d - 15)*(d + 1)**2/11
Let m be 35/8 + -4 + 165/200. Determine s so that -3/5*s**2 - 9/5*s - m = 0.
-2, -1
Let k(g) be the first derivative of -g**6 - 34*g**5/25 + 13*g**4/10 + 34*g**3/15 + 2*g**2/5 - 80. Determine h so that k(h) = 0.
-1, -2/15, 0, 1
Let m be (-506)/(-10) - 22/(-55). Suppose 8*y - m = -35. Let -1/3*k**4 - 1/6*k**3 + 0*k - 1/6*k**5 + 0 + 0*k**y = 0. Calculate k.
-1, 0
Let c(m) be the second derivative of m**7/231 + m**6/55 + m**5/55 - m**4/33 - m**3/11 - m**2/11 - 176*m. Factor c(a).
2*(a - 1)*(a + 1)**4/11
Let p(d) be the second derivative of d**4/42 - d**3/21 - d + 9. Find w such that p(w) = 0.
0, 1
Let t(z) = z**3 - 13*z**2 - 7*z - 19. Let k be t(12). Let m be (k/(-30))/13 + 1/6. Determine o so that -m*o**2 - 8/5*o - 4/5 = 0.
-1
Let d(r) = -5*r**2 - 6*r + 3. Let a(h) = 14*h**2 + 17*h - 9. Let q(b) = b**3 - 8*b**2 - 10*b + 5. Let f be q(9). Let t(w) = f*a(w) - 11*d(w). Factor t(p).
-(p - 1)*(p + 3)
Let u = -9477 - -6254821/660. Let v(o) be the third derivative of 0*o**5 + 0*o**3 + 0 + u*o**6 - 5*o**2 - 1/132*o**4 + 0*o. Let v(m) = 0. What is m?
-1, 0, 1
Let u be ((-12)/(-8))/((-33)/88). Let i be (-1)/(u/14 - (-18)/(-84)). Factor 3*b - 3/7 + 15/7*b**3 - 33/7*b**i.
3*(b - 1)**2*(5*b - 1)/7
Let n(v) be the third derivative of 5*v**9/3024 + v**8/112 + v**7/84 + 41*v**3/6 + 7*v**2. Let o(i) be the first derivative of n(i). Factor o(z).
5*z**3*(z + 1)*(z + 2)
Let 3/8*b**3 - 3/8*b - 3/4*b**2 + 3/4 = 0. Calculate b.
-1, 1, 2
Let m(o) = 5*o - 8. Let s be m(2). Factor 6 + 32*z**3 + 14 + 228*z**2 - 5*z + 3*z**3 - 278*z**s.
5*(z - 1)**2*(7*z + 4)
Let p(y) be the third derivative of y**7/70 - 21*y**6/40 + 117*y**5/20 - 175*y**4/8 + 39*y**3 + y**2 - 128*y. Solve p(o) = 0 for o.
1, 6, 13
Determine c, given that -11 + 265/3*c - 536/3*c**2 + 16/3*c**3 = 0.
1/4, 33
Let j(f) be the first derivative of 2*f**3 - 3*f**2/2 - 3*f - 1. Let u(c) = -c**3 - 11*c**2 + 5*c + 7. Let l(t) = 7*j(t) + 3*u(t). Factor l(g).
-3*g*(g - 2)*(g - 1)
Let w be (16/6)/((-3)/((-54)/24)). Solve 2/3*a**2 - 8/3*a**4 + 0*a - w*a**3 + 0 = 0.
-1, 0, 1/4
Let h(d) = d**2 + d + 112. Let s be h(0). Let x = s + -97. Factor -x*f**2 - 4*f**4 - 14*f**3 - 13/2*f - 1.
-(f + 2)*(2*f + 1)**3/2
Let f(j) be the first derivative of j**5/20 - j**4/2 + 3*j**3/2 - 2*j**2 + 5*j/4 - 211. Factor f(g).
(g - 5)*(g - 1)**3/4
Factor 3/2*f + 15/4*f**2 - 6 + 3/4*f**3.
3*(f - 1)*(f + 2)*(f + 4)/4
Let a = 6034 + -6034. Solve 0*x**2 + a - 1/2*x**3 + 2*x = 0.
-2, 0, 2
Let -5/2*b**5 + 15/2*b**3 + 0 - 5/2*b**4 - 5*b + 5/2*b**2 = 0. Calculate b.
-2, -1, 0, 1
Let i be 160/72 + -2 + 16/9. Factor -23*a - 2*a**3 + 2*a**i + 23*a.
-2*a**2*(a - 1)
Let z(d) be the third derivative of 0*d**3 + 0*d + 1/6*d**4 + 0 + 21*d**2 + 1/15*d**6 + 1/5*d**5. Suppose z(f) = 0. Calculate f.
-1, -1/2, 0
Let j(n) be the second derivative of 0 + 1/3*n**3 + 0*n**2 + 1/40*n**5 + 3*n + 1/6*n**4. Find k such that j(k) = 0.
-2, 0
Let s be (-6 + -1)*(1 - (-9)/(-7)). Factor 3/5*j - 1/5 - 3/5*j**s + 1/5*j**3.
(j - 1)**3/5
Find q, given that 67/4*q**2 + 63/4*q**3 + 0*q - 1 = 0.
-1, -2/7, 2/9
Let o(j) = 3*j**4 - 11*j**3 - 64*j**2 - 66*j. Let m(d) = -16*d**4 + 54*d**3 + 320*d**2 + 329*d. Let b(p) = -4*m(p) - 22*o(p). Factor b(h).
-2*h*(h -