6/7 + 2/21*v**2 + 52/21*v.
2*(v + 3)*(v + 23)/21
Let t(w) be the second derivative of 1 - 1/21*w**7 + 4/15*w**6 - 1/5*w**5 - 26*w - 2/3*w**4 + w**3 + 0*w**2. Suppose t(u) = 0. Calculate u.
-1, 0, 1, 3
Let d be -13 - -13 - 3*(2 + -1). Let a be (9/(-27))/(87/(-18) - d). Factor 0 + a*n**3 + 2/11*n**2 - 4/11*n.
2*n*(n - 1)*(n + 2)/11
Let h(v) be the first derivative of 4/9*v**3 - 32/3*v + 4/3*v**2 + 53. Determine i, given that h(i) = 0.
-4, 2
Suppose -5*i - 295 = -5*w, -201 = -4*w - i - 2*i. Suppose 54*p + w = 81*p. Factor -1/3*d**p - 2/3 + d.
-(d - 2)*(d - 1)/3
Factor -2/3*j**2 + 740/3*j - 68450/3.
-2*(j - 185)**2/3
Let v(r) be the first derivative of -4/25*r**5 + 8/15*r**3 - 99 - 4/5*r - 1/5*r**4 + 1/15*r**6 + 1/5*r**2. Solve v(c) = 0.
-1, 1, 2
Let v(g) be the first derivative of -6/5*g**2 + 4/5*g - 1/20*g**4 + 11/15*g**3 - 3/25*g**5 + 1/30*g**6 - 174. Suppose v(a) = 0. Calculate a.
-2, 1, 2
Let p(c) = c**2. Suppose -b - 37 = -2*m - 4*b, m - 4*b - 13 = 0. Let z(j) = 35 - 17 - m. Let h(n) = p(n) - z(n). Factor h(w).
(w - 1)*(w + 1)
Factor -51/2*w + 3/8*w**4 + 18*w**2 - 39/8*w**3 + 12.
3*(w - 8)*(w - 2)**2*(w - 1)/8
Let d(w) be the first derivative of w**4/22 + 112*w**3/33 + 684*w**2/11 - 3043. Factor d(u).
2*u*(u + 18)*(u + 38)/11
Let d(u) = u**3 + 4*u**2 + 4*u + 7. Let x be d(-3). Suppose 8*i - 7 = 3*i - 3*p, 0 = -2*i - x*p. Solve 6 - 2*w + 1423*w**i + 0 - 2 - 1425*w**2 = 0.
-2, 1
Let p(h) be the first derivative of 5*h**4/4 + h**3/3 - h**2 + 6. Let m be p(1). Factor -44*s**m - 40*s**4 - 6*s**3 + 69*s**4 - 3 + 9*s**5 + 18*s**2 - 3*s.
3*(s - 1)**3*(s + 1)*(3*s + 1)
Let h(d) be the first derivative of -d**7/105 - d**6/20 + d**4/3 - d**2/2 + 10*d - 78. Let r(y) be the second derivative of h(y). Factor r(c).
-2*c*(c - 1)*(c + 2)**2
Suppose 28*m - 75*m = -39*m - 216. Suppose 0 - m*q + 3/2*q**2 = 0. What is q?
0, 18
Let w = -126179/2 - -63090. Let 3/2*u**3 - u**5 + 1/2*u**4 - 1/2*u**2 + 0 - w*u = 0. What is u?
-1, -1/2, 0, 1
Suppose 4/5*i - 2708/5*i**3 + 1628/5*i**2 - 148/5 + 1256/5*i**4 - 32/5*i**5 = 0. What is i?
-1/4, 1/2, 1, 37
Suppose -182*x + 177*x = 35, 2*x + x + 39 = 6*k. Factor -3/4*i**2 + 2 - 3/2*i + 1/4*i**k.
(i - 4)*(i - 1)*(i + 2)/4
Let y = -19452 - -19454. Suppose 0 + 3*z**3 + 3/5*z**4 + 21/5*z**y + 9/5*z = 0. What is z?
-3, -1, 0
Let a = 51963 - 51960. Find c such that 2*c**2 + 22/7*c + 4/7 - 22/7*c**a - 18/7*c**4 = 0.
-1, -2/9, 1
Let x(o) be the second derivative of 25/42*o**3 + 0 - 133*o + 0*o**2 + 1/84*o**4. Solve x(y) = 0 for y.
-25, 0
Factor 21054838*j - 21053977*j + j**2 - 4*j**2.
-3*j*(j - 287)
Let z be 15/27*-1 + 1. Let n(w) = -4*w**3 + 16*w**2 + w + 4. Let f be n(0). Factor 2/9*p**f + 2/9 + 2/9*p**5 + 2/9*p - z*p**2 - 4/9*p**3.
2*(p - 1)**2*(p + 1)**3/9
Let w(j) = -343*j**3 + 2615*j**2 + 829*j + 59. Let t(h) = -h**3 + 3*h**2 + h - 1. Let v(x) = -5*t(x) + w(x). What is k in v(k) = 0?
-2/13, 8
Suppose 39*y = -2*o + 32*y + 124, 0 = -y + 4. Suppose -o = -14*b + 8*b. Let b - 11/2*r**2 + 0*r - 1/4*r**4 + 9/4*r**3 = 0. What is r?
-1, 2, 4
Let z = -6 - -249. Determine x, given that -z + 162*x**3 - 729*x - 104*x**5 + 54*x**2 + 95*x**5 - 3*x**4 + 0*x**4 = 0.
-3, -1/3, 3
Determine h so that 0 + 3/4*h**5 + 27*h + 105/4*h**2 - 105/4*h**4 - 111/4*h**3 = 0.
-1, 0, 1, 36
Let d(s) = 11*s**4 - 145*s**3 + 715*s**2 + 13949*s + 33856. Let q(a) = 5*a**4 - 73*a**3 + 357*a**2 + 6977*a + 16928. Let n(b) = -3*d(b) + 7*q(b). Factor n(t).
2*(t - 23)**2*(t + 4)**2
Suppose 0 = 4*t - 18 + 10. Factor 10*q**t - 12*q**3 - 12*q - 9*q**3 + 19*q**3.
-2*q*(q - 3)*(q - 2)
Let h(q) be the first derivative of 66 + 2/21*q**3 - 5/7*q**2 + 1/14*q**4 + 6/7*q. Factor h(u).
2*(u - 1)**2*(u + 3)/7
Let n(h) be the second derivative of -h**8/33600 + h**7/840 + h**4/12 - 21*h**3/2 + 10*h - 2. Let l(i) be the third derivative of n(i). Factor l(q).
-q**2*(q - 15)/5
Let d(y) be the third derivative of -y**5/15 - 224*y**4/3 - 298*y**3 - 654*y**2 - y + 1. Factor d(s).
-4*(s + 1)*(s + 447)
Let o = 54 - 54. Let g be ((-2)/14 - o)*14/(-6). Factor 0*p**2 - g*p**3 + 0*p + 0 + 1/6*p**4.
p**3*(p - 2)/6
Let m(r) be the first derivative of -31/3*r**3 - 1/720*r**6 + 0*r**2 - 3/80*r**5 + 5/24*r**4 + 32 + 0*r. Let i(g) be the third derivative of m(g). Factor i(z).
-(z - 1)*(z + 10)/2
Let a(i) be the second derivative of 0 - 1/36*i**4 + 1/18*i**3 + 1/3*i**2 - 17*i. Let a(v) = 0. What is v?
-1, 2
Let b(a) = -10*a**3 + 95*a**2 + 555*a + 25. Let j(n) = -15*n**3 + 143*n**2 + 833*n + 35. Let y(h) = -7*b(h) + 5*j(h). Determine f, given that y(f) = 0.
-4, 0, 14
Let d(p) be the second derivative of -55*p**4/48 + 1615*p**3/12 + 525*p**2 - 9946*p. Factor d(g).
-5*(g - 60)*(11*g + 14)/4
Let j be (0 - (-1 - -5 - -1)) + -32. Let x be (-35 - j)/(2/3). Factor -3/8*c**2 + 0*c**x + 1/8*c**4 + 1/4*c + 0.
c*(c - 1)**2*(c + 2)/8
Let h = 539 - 27. Let g = h - 1534/3. Suppose g*c**3 - 2*c**2 - 2/3*c + 4/3 + 2/3*c**4 = 0. Calculate c.
-2, -1, 1
Let n(l) be the first derivative of -21 + 1/60*l**4 - 1/300*l**5 + 0*l**3 - 6*l**2 + 0*l. Let v(q) be the second derivative of n(q). Factor v(o).
-o*(o - 2)/5
Let f(k) be the first derivative of k**6/1530 - 7*k**5/204 + k**4/12 - 40*k**3 + 177. Let i(x) be the third derivative of f(x). Suppose i(c) = 0. Calculate c.
1/2, 17
Let f(m) be the second derivative of m**6/10 + 18*m**5/5 + 11*m**4/2 - 12*m**3 - 69*m**2/2 + 2028*m. Determine o, given that f(o) = 0.
-23, -1, 1
Let s(q) be the second derivative of 3*q**5/140 + 9*q**4/14 + 11*q**3/2 + 90*q**2/7 - 5426*q + 2. Factor s(l).
3*(l + 1)*(l + 5)*(l + 12)/7
Factor -2*z**5 + 4*z**5 - 8*z**4 + 6*z**3 - 8*z + 138*z**2 - 257*z**2 + 127*z**2.
2*z*(z - 2)**2*(z - 1)*(z + 1)
Suppose -x + 2*o = 6, -7*x + 4*o = -2*x. Find q such that -85*q**2 - 4*q - 7*q**x - 4*q**3 - 11*q**3 - q**5 + 72*q**2 = 0.
-4, -1, 0
Let d(i) be the third derivative of 0 - 19*i**4 - 361/10*i**3 + 0*i - 137*i**2 - 1/350*i**7 - 219/50*i**5 - 1/5*i**6. Factor d(v).
-3*(v + 1)**2*(v + 19)**2/5
Let l(x) = 17*x**2 + 1130*x + 1127. Let n(u) = 9*u**2 + 565*u + 564. Let s(z) = 4*l(z) - 7*n(z). Factor s(g).
5*(g + 1)*(g + 112)
Suppose 2*w + 0*w = -28. Let z(s) = -s**2 - 17*s - 28. Let l be z(w). Factor 6*d**2 + 13*d + 13*d**2 - 25*d**2 + d**3 + l*d**2 + 6.
(d + 1)**2*(d + 6)
Let x be (-27 + 9087/338)/((-348)/78 + 4). Factor 19/2*c**2 + 0 - x*c**3 - 361/4*c.
-c*(c - 19)**2/4
Let -645160 - 646176*l - 5082/5*l**2 - 2/5*l**3 = 0. Calculate l.
-1270, -1
Let x(c) be the second derivative of c**4/6 - 562*c**3/3 + 78961*c**2 + 1089*c. Factor x(q).
2*(q - 281)**2
Let a(s) be the second derivative of -3*s**5/20 + 3*s**4/2 + 15*s**3/2 + 12*s**2 - 282*s. Find h such that a(h) = 0.
-1, 8
Let t be (-15)/65 + 1488/1040. Let z(b) be the second derivative of 0 + 1/20*b**4 + t*b**2 - 2/5*b**3 - 24*b. Factor z(y).
3*(y - 2)**2/5
Let t = 1995 + -1147. Let p be (10/(-12))/((-265)/t). What is i in -8/3*i + 2/3*i**3 - p + 2/3*i**2 = 0?
-2, -1, 2
Let z = -20 - -48. Let t be (7/(z/12))/1. Solve 8*c**3 - 64 - 96*c + 6*c**t - 36*c**2 - 2*c**3 - 16*c**3 = 0 for c.
-4, -1
Let j(q) = 16*q**2 + 33 - 6*q**2 - 4*q**2 - 7*q**2 + 30*q. Let c be j(31). Factor 9/7 + 12/7*f + 3/7*f**c.
3*(f + 1)*(f + 3)/7
Let o be 2/(-3)*-1*(-2460)/(-820) + (-232)/(-10). Factor -46/5*b**3 - 122/5*b + 8 + 2/5*b**4 + o*b**2.
2*(b - 20)*(b - 1)**3/5
Let g(f) be the third derivative of -f**6/1440 + f**5/24 - 3*f**4/8 + 74*f**3/3 + 250*f**2. Let d(x) be the first derivative of g(x). Factor d(r).
-(r - 18)*(r - 2)/4
Let s be (-5 - -6)*1 - (-15)/(-25). Let d = s - -1/10. Factor -d + 2*w**2 + 3/2*w.
(w + 1)*(4*w - 1)/2
Let h(x) = -2*x**4 - 21*x**3 + 23*x**2 - x. Let m(t) = t**4 + t**3 - 2*t**2 + t. Let d(a) = -h(a) - m(a). Solve d(j) = 0 for j.
-21, 0, 1
Let w(i) be the third derivative of -i**5/330 - 131*i**4/132 + 266*i**3/33 - i**2 + 3*i - 1546. Solve w(u) = 0 for u.
-133, 2
Let f(h) be the third derivative of -19*h**2 + 1/840*h**8 + 0 + 2/525*h**7 - 1/300*h**6 + 0*h + 0*h**4 + 0*h**3 - 1/75*h**5. Determine x, given that f(x) = 0.
-2, -1, 0, 1
Let c be 12/3 + -9*(-3)/9. Suppose 9*d - 14*d = k - c, -3*k = -4*d - 2. Factor 2*z**k - 2/11*z**3 + 50/11 - 70/11*z.
-2*(z - 5)**2*(z - 1)/11
Suppose -11/2*n**3 - 1/4*n**2 + 11/2*n + 0 + 1/4*n**4 = 0. Calculate n.
-1, 0, 1, 22
Let x(t) = 5*t**5 + 3*t**4 + 66*t**3 + 28*t**2 + 4*t + 4. Let u(