 78*o**4 - 6516*o = 0. Calculate o.
-3, 18
Let j(x) be the first derivative of x**3/3 - 7*x**2/2 + 6*x - 195. Determine u so that j(u) = 0.
1, 6
Let o = 55 + -57. Let j be o/(-3)*(-81)/(-18). Solve 1/2*c**j + 5/2*c**2 + 2 + 4*c = 0.
-2, -1
Let q be (0/3)/(-4 - -3). Suppose -2*r - 2*r + 8 = q. Find p such that -5*p + 3 - 3*p**r + 5*p = 0.
-1, 1
Let z = -34 + 36. Solve -3*g**3 - g**z + 2*g**5 - 3*g**5 - 17*g**4 + 14*g**4 = 0 for g.
-1, 0
Let k(p) be the first derivative of -5*p**2/2 + 3*p - 5. Let z be k(-2). Find q, given that -2*q**2 - z*q**2 - 36*q - 18*q**3 - 12 - 24*q**2 - 3*q**4 = 0.
-2, -1
Let -37/9*i + 1/9*i**4 - 13/3*i**3 + 0 + 25/3*i**2 = 0. What is i?
0, 1, 37
Suppose -4*p = -5*p + 2. Let z = 4 - p. Find u, given that 57*u**z + 16 - 207*u**3 + 123*u**2 - 117*u**3 + 128*u = 0.
-2/9, 1
Let j(f) = -f**2 - f + 1. Let k(y) = -8*y**2 + 33*y + 89. Let s(o) = 36*j(o) - 4*k(o). Factor s(b).
-4*(b + 2)*(b + 40)
Let v(b) be the first derivative of -5/21*b**3 + 3/28*b**4 + 0*b + 19 - 1/7*b**2. Factor v(p).
p*(p - 2)*(3*p + 1)/7
Suppose 0 = 5*l - 4 - 11. Let d be (-248)/(-14) + 4/14. Factor -d*o**5 - 56*o**l + 49*o**4 - o**4 + 16*o**2 + 12*o**4.
-2*o**2*(o - 2)*(3*o - 2)**2
Let n(d) be the second derivative of -2*d - 9/4*d**4 - 3/20*d**5 - 3 - 81/2*d**2 - 27/2*d**3. Factor n(l).
-3*(l + 3)**3
Let h(c) be the first derivative of 11/15*c**3 - 36/5*c - 1/20*c**4 - 12/5*c**2 - 7. Suppose h(m) = 0. Calculate m.
-1, 6
Let g(h) be the second derivative of h**5/10 - 4*h**4/3 + 20*h**3/3 - 16*h**2 - 121*h. Factor g(m).
2*(m - 4)*(m - 2)**2
Let w(b) be the first derivative of b**6/18 - 4*b**5/15 + 5*b**4/12 - 2*b**3/9 - 575. Factor w(t).
t**2*(t - 2)*(t - 1)**2/3
Let j(x) be the second derivative of -x**4/6 + 2*x**3/3 - x**2 + 254*x. Solve j(c) = 0 for c.
1
What is k in 0 + 2/5*k + 6/5*k**3 + 6/5*k**2 + 2/5*k**4 = 0?
-1, 0
Let v be (84/6468)/((-2)/(-28)) + (-40)/(-22). Factor -6/5 + q**v + 2/5*q**3 - 1/5*q.
(q - 1)*(q + 2)*(2*q + 3)/5
Factor 216*a**2 - 8*a**2 + 0*a**2 - 8 + 92*a + 113*a**3 - 5*a**3.
4*(a + 1)**2*(27*a - 2)
Let y(i) = 2*i**3 - 3*i**2 - i + 2. Let l be y(3). Suppose l - 8 = 2*k. Factor t - k*t + 4 - 3*t**2 - 10 - t.
-3*(t + 1)*(t + 2)
Suppose 0 = 4*d - p, -d - 2*p = 3*d. Factor -1/4*u**4 + 1/4*u**5 + 0 + d*u - 1/4*u**3 + 1/4*u**2.
u**2*(u - 1)**2*(u + 1)/4
Let n(k) be the second derivative of 0*k**2 + 15*k - 5/54*k**4 + 0*k**3 + 0 + 1/90*k**5. Factor n(b).
2*b**2*(b - 5)/9
Let c be (-26)/(-10) - (-23)/(-345)*-6. Solve -2/3*n**c + n**4 - 1/3*n**5 - 2/3*n**2 - 1/3 + n = 0.
-1, 1
Suppose 4 = -0*d + 5*d - 2*f, 0 = -2*d - 5*f + 19. Factor r - r**3 + 1 + r**d + 7*r**2 - r**2 - 8*r**2.
-(r - 1)*(r + 1)**2
Let f(y) be the third derivative of -y**6/840 - 2*y**5/105 - 13*y**4/168 - y**3/7 - 54*y**2. Solve f(g) = 0 for g.
-6, -1
Suppose 5*l + p = 8, 0 = -2*l + 2*p + 3*p + 14. Let c(q) be the first derivative of 1 - 16*q**3 + 21/4*q**4 + 33/2*q**l - 6*q. Let c(m) = 0. Calculate m.
2/7, 1
Let r(t) be the second derivative of t**3 - 21/20*t**5 + 0*t**2 + 34*t + 19/12*t**4 + 0 - 2/15*t**6. Factor r(n).
-n*(n - 1)*(n + 6)*(4*n + 1)
Factor 1/3*z**3 + 0 - 8*z**2 + 16/3*z + 2*z**4 + 1/3*z**5.
z*(z - 1)**2*(z + 4)**2/3
Let k(y) = 180*y**4 + 980*y**3 + 1824*y**2 + 1376*y + 288. Let c(f) = -36*f**4 - 196*f**3 - 365*f**2 - 275*f - 58. Let a(s) = -16*c(s) - 3*k(s). Factor a(n).
4*(n + 1)*(n + 2)**2*(9*n + 4)
Let i(f) be the third derivative of 2/15*f**6 - 1/105*f**7 - 16/3*f**3 + 0 + 8/3*f**4 - 4/5*f**5 + 17*f**2 + 0*f. Solve i(d) = 0.
2
Suppose 0 = -7*y + 11*y - 8. Factor -52*k - 16 + 8*k**2 + 40*k - 4*k**y.
4*(k - 4)*(k + 1)
Let s be 2 - (2 + (-6)/9). Suppose -h - 4 = 0, 7*g - 3*g + 5*h = 0. Determine u, given that 0 - s*u + 22/3*u**3 + 0*u**2 - 12*u**4 + 16/3*u**g = 0.
-1/4, 0, 1/2, 1
Suppose 2*v - 288 = -5*s + 394, s + 2*v - 130 = 0. Factor -3*k**2 + 45*k + s - 90 + 0*k**2 + 0*k**2.
-3*(k - 16)*(k + 1)
Suppose -2*d + 305 = 4*u + u, 3*d = -3*u + 435. Let y be d/(-35) - (-5)/((-5)/(-6)). Determine b so that 2/5*b**y - 4/5*b + 0 = 0.
0, 2
Let r(c) = -63*c**3 - 402*c**2 - 134*c + 74. Let b(t) = 441*t**3 + 2814*t**2 + 939*t - 519. Let i(z) = 2*b(z) + 15*r(z). Suppose i(u) = 0. Calculate u.
-6, -2/3, 2/7
Let r(c) be the first derivative of -529*c**4/4 + 391*c**3/3 + 129*c**2/2 + 9*c + 112. Factor r(n).
-(n - 1)*(23*n + 3)**2
Factor -6*i + 107*i**2 - 109*i**2 - 8 - 2*i.
-2*(i + 2)**2
Let h = -12 - -1. Let i = 16 + h. Find v such that -270*v**3 + 188*v**2 + 6*v + 243*v**4 + 3 - 81*v**i - 50*v**2 - 39*v = 0.
1/3, 1
Let c be (-3*(-4)/48)/((-11)/(1408/(-28))). Factor -36/7*u**4 - 12*u**2 + c - 100/7*u**3 - 12/7*u.
-4*(u + 1)**3*(9*u - 2)/7
Let g(k) = -4*k**3 + k**2 - k. Let n(u) = 12*u**3 - 2*u**2 + 4*u. Suppose -5*o + 0*o = -20. Suppose 4*q = -28 + o. Let x(b) = q*n(b) - 21*g(b). Factor x(a).
3*a*(a - 1)*(4*a + 1)
Let 8*l + 4/3*l**5 - 68/3*l**2 - 28/3*l**4 + 0 + 68/3*l**3 = 0. What is l?
0, 1, 2, 3
Let i(n) be the first derivative of -n**8/1512 + n**6/270 - n**4/108 - n**2 - 2. Let l(v) be the second derivative of i(v). Find d, given that l(d) = 0.
-1, 0, 1
Let b(m) be the first derivative of -3*m**5/10 - 15*m**4/8 + 11*m**3/2 + 99*m**2/4 + 27*m + 192. Let b(d) = 0. Calculate d.
-6, -1, 3
Suppose 0 = -2*b - 3 - 9. Let y(i) = -i**2 - 6*i. Let p(t) = 5*t**2 + 35*t. Let j(k) = b*p(k) - 35*y(k). Factor j(n).
5*n**2
Let u(w) be the third derivative of w**6/72 - w**5/4 + 115*w**4/72 - 25*w**3/6 - 137*w**2. Factor u(y).
5*(y - 5)*(y - 3)*(y - 1)/3
Let b(u) be the third derivative of 0*u**3 - 16/35*u**7 - 10*u**2 - 3/56*u**8 + 0 - 23/30*u**6 - 3/4*u**4 + 0*u + 8/5*u**5. Factor b(a).
-2*a*(a + 3)**2*(3*a - 1)**2
Let h(b) be the third derivative of -b**7/84 + 2*b**6/45 + b**5/15 + b**3 - 10*b**2. Let m(r) be the first derivative of h(r). Factor m(i).
-2*i*(i - 2)*(5*i + 2)
Let d(g) be the second derivative of -1/90*g**4 - 1/5*g**2 - 16*g + 0 + 4/45*g**3. Solve d(t) = 0.
1, 3
Let z(y) be the second derivative of y**4/3 - 8*y**3 - 90*y**2 - 38*y + 7. Factor z(p).
4*(p - 15)*(p + 3)
Let x(b) = -3*b + 3. Let f be x(0). Suppose 5*n**f + 5*n**5 - 13*n**5 - n**3 + 4*n**5 = 0. Calculate n.
-1, 0, 1
Let h = -387 - -393. Let a(j) be the second derivative of -1/75*j**h + 0*j**2 + 1/50*j**5 + 0*j**3 - 1/105*j**7 + 1/30*j**4 + 0 - j. Solve a(v) = 0.
-1, 0, 1
Let z = 194/5 + -192/5. Factor z*m**2 - 4*m + 10.
2*(m - 5)**2/5
Let b be (((-4832)/(-20))/(-4))/(-12) + -5. Let n(o) be the first derivative of -4/15*o**3 + 0*o + 3/10*o**4 + 1/10*o**2 + b*o**6 - 4/25*o**5 + 3. Factor n(m).
m*(m - 1)**4/5
Let q(f) = f**4 - f**3 + f**2 - f - 1. Let w(o) = -65*o**4 - 5*o**3 + 11*o**2 - 7*o - 7. Let l(x) = -14*q(x) + 2*w(x). Determine c so that l(c) = 0.
-2/9, 0, 1/4
Let w(f) be the second derivative of f**7/26460 - f**6/7560 - f**5/630 - 13*f**4/12 + 28*f. Let s(v) be the third derivative of w(v). Factor s(j).
2*(j - 2)*(j + 1)/21
Suppose 3*g + 2*u = 31, -2*g + g + 15 = 3*u. Let -g*x**2 + 40*x + 2*x**2 + 2*x**2 + 0 - 15*x**3 - 20 = 0. Calculate x.
-2, 2/3, 1
Find q, given that 66*q**2 + 73*q**2 + 304*q + 722 - 167*q**2 + 60*q**2 = 0.
-19/4
Solve 260/7*f - 4/7*f**3 + 124/7*f**2 + 132/7 = 0 for f.
-1, 33
Factor -o**5 - 8*o**3 - 10*o**2 - 2*o**3 + 2*o**3 + 10*o**4 + 9*o.
-o*(o - 9)*(o - 1)**2*(o + 1)
Let d(g) = 2*g**3 - 168*g**2 + 3*g - 248. Let q be d(84). Let -1/4 - 1/4*n**q + 5/8*n**5 - 5/4*n**3 + 1/2*n**2 + 5/8*n = 0. Calculate n.
-1, 2/5, 1
Let o(c) be the third derivative of -5*c**8/112 - 11*c**7/42 - c**6/2 - c**5/3 + 3*c**2 - 22*c. Suppose o(g) = 0. What is g?
-2, -1, -2/3, 0
Let r be (((-10)/(-35))/(-1))/(2/(-14)). What is k in 2*k**r + 13*k**4 - k**4 + 4*k**3 - 9*k**2 - k**2 = 0?
-1, 0, 2/3
Let k = 11 - 9. Let s(x) be the second derivative of 1/2*x**4 + 4/3*x**3 + 1/15*x**6 - 4*x**k + 5*x - 2/5*x**5 + 0. Suppose s(u) = 0. What is u?
-1, 1, 2
Let z(o) = 24*o**5 - 105*o**4 - 48*o**3 + 278*o**2 + 273*o + 75. Let w(s) = -s**5 + s**4 - s**3 - s + 1. Let r(t) = -3*w(t) + z(t). Factor r(v).
(v - 3)**2*(3*v + 2)**3
Suppose 5*c + 3*s - 5 = -0, c - 19 = 3*s. Suppose x - 3 = -3*k + 2*k, 5*x - c*k - 6 = 0. Suppose 0*n + 1/2*n**x + 0 = 0. Calculate n.
0
Let v(q) = -q**2 - 22*q - 6. Let j be v(-23). Let o = j - -117/4. Factor o - 1/4*g**2 + 0*g.
-(g - 1)*(g + 1)/4
Factor 48/5*h + 72/5*h**2 + 27/5*h**3 + 3/5*h*