+ w*c**3.
c**3/5
Let z = -2528 - -2530. Let -1/2*a**z + 0 + a = 0. What is a?
0, 2
Let g = -14 - -29. Suppose z**3 - 15*z**2 + g + 4*z + 4*z**3 - 9*z = 0. Calculate z.
-1, 1, 3
Let n be (4 + (-34)/6)*6/(-15). Let -4/3*h**5 - 4/3*h + 2/3*h**4 + 8/3*h**3 - 4/3*h**2 + n = 0. Calculate h.
-1, 1/2, 1
Let m = -14 - -19. Suppose 0 = -m*w + 2*s + 31, -3*w + 0*w = 2*s - 25. Factor -w*n**3 + 2*n**3 + 4*n**3.
-n**3
Let c(f) = 2*f**2 - 6*f - 2. Let z be (7/(56/264))/(4 + -1). Let o(g) = 2*g - 4 + 4*g**2 - 11*g - 2*g. Let y(x) = z*c(x) - 6*o(x). Factor y(d).
-2*(d - 1)*(d + 1)
Let -17*t**5 + 8*t**5 + 3*t**4 + 5*t**5 + t**3 = 0. What is t?
-1/4, 0, 1
Let p(g) = 9*g - 15. Let d be p(2). Let -29 - d*c**2 - 22*c + 16 + c**2 - 7 = 0. Calculate c.
-10, -1
Let q(n) be the third derivative of -13*n**6/240 + 23*n**5/24 + 19*n**4/3 + 11*n**3/3 + 53*n**2 - 4. Let q(l) = 0. What is l?
-2, -2/13, 11
Let o(f) = -26*f**2 - 1282*f - 35006. Let w(q) = 9*q**2 + 427*q + 11669. Let u(d) = -5*o(d) - 14*w(d). What is b in u(b) = 0?
-54
Let z(w) = 2*w**3 - 105*w**2 - 278*w + 165. Let s be z(55). Factor h**4 + 0*h**3 - 1/4*h**5 + 0 + s*h + 0*h**2.
-h**4*(h - 4)/4
Let j = 3738/47 + 25537/235. Let p = j - 187. Solve -14/15*n + p*n**2 + 2/15*n**4 + 4/15 - 2/3*n**3 = 0 for n.
1, 2
Let p(c) be the third derivative of -5*c**8/336 + c**6/24 + 6*c**2 - 1. Factor p(s).
-5*s**3*(s - 1)*(s + 1)
Let a be 2 + -2 - (1 - -16). Let f = a + 21. Factor 0*q**2 + 8*q + 4*q**2 - f*q.
4*q*(q + 1)
Let i(a) = 4*a**5 - 12*a**4 - 20*a**3 + 48*a**2 - 32*a + 6. Let r(d) = 2*d**3 - 1. Let c(t) = -i(t) - 6*r(t). Solve c(j) = 0 for j.
-2, 0, 1, 2
Let q(u) be the third derivative of -1/30*u**5 + 0 - 1/4*u**4 + 0*u - 2/3*u**3 - 13*u**2. Suppose q(w) = 0. What is w?
-2, -1
Let d = -39 + 44. Factor -3*s**2 - s - s + d*s**2 - s**2.
s*(s - 2)
Let u(q) be the second derivative of -q**5/20 - 7*q**4/12 + 4*q**3/3 + q**2 - 4*q. Let k be u(-8). Determine n, given that 0*n + k*n**2 - 4 + 7*n - 4*n - n = 0.
-2, 1
Let t(l) = 2*l**4 - l**2 - 1. Let s(f) = 14*f**4 + 28*f**3 - 9*f**2 - 28*f - 5. Let v(y) = -s(y) + 5*t(y). Let v(u) = 0. Calculate u.
-7, -1, 0, 1
Factor 26*z + 23/4*z**2 - 1/4*z**3 + 27.
-(z - 27)*(z + 2)**2/4
Let r(m) be the second derivative of m**5/20 - m**4/6 - m**3/2 - 63*m. Factor r(q).
q*(q - 3)*(q + 1)
Let p(x) = x**2 - x. Let m(t) = -2*t**3 + 2*t**2 - 8*t. Suppose 0 = -s + 17 - 18. Let g(f) = s*m(f) - 10*p(f). Factor g(q).
2*q*(q - 3)**2
Suppose -4*l = l - 10. Suppose -13*g + 0*g = -52. Factor -3*v + g + l + v**2 - 3 - 1.
(v - 2)*(v - 1)
Let y = 5/1573 - -1558/4719. Factor 4/3*i + y*i**2 + 4/3.
(i + 2)**2/3
Let m = -6509/5 - -1303. Factor 2/5*l + 0 + 2/5*l**4 + m*l**2 + 6/5*l**3.
2*l*(l + 1)**3/5
Let m = -1489 + 1489. Let y(s) be the first derivative of m*s**3 - s**4 + 0*s**5 + 1/3*s**6 + 8 + s**2 + 0*s. Factor y(b).
2*b*(b - 1)**2*(b + 1)**2
Let z(d) be the third derivative of 1/12*d**4 + 0*d + 0 + 1/2*d**3 + 32*d**2 - 1/60*d**5. Find r, given that z(r) = 0.
-1, 3
Let b(g) be the first derivative of g**5/20 + 3*g**4/8 + g**3 + 5*g**2/4 + 3*g/4 + 79. Suppose b(u) = 0. What is u?
-3, -1
Let k(o) be the third derivative of o**9/7560 - o**8/1120 - o**4/12 - o**2. Let i(a) be the second derivative of k(a). Factor i(m).
2*m**3*(m - 3)
Let f(y) = -2*y + 16. Let x be f(7). Suppose 3*b - 3*h - 5 = -x, -h + 19 = 4*b. Solve 0*s - 1/6*s**2 + 5/6*s**3 + 0 - 2/3*s**b = 0.
0, 1/4, 1
Let t = 32290 + -613502/19. Factor 0 - t*f + 6/19*f**2 + 2/19*f**3.
2*f*(f - 1)*(f + 4)/19
Let c(z) be the second derivative of 0*z**2 - 1/24*z**4 + 0 + 0*z**5 + 1/60*z**6 - 1/168*z**7 + 1/24*z**3 + 7*z. Factor c(o).
-o*(o - 1)**3*(o + 1)/4
Let t(v) be the second derivative of 0*v**2 + 8*v + 0 + 3/2*v**5 - 25/12*v**4 - 1/6*v**6 + 0*v**3. Factor t(a).
-5*a**2*(a - 5)*(a - 1)
Let k(n) be the first derivative of n**6/40 - n**5/4 + n**4 - 2*n**3 + 2*n**2 - 10. Let u(x) be the second derivative of k(x). Solve u(g) = 0.
1, 2
Let t = 7254 - 36268/5. Let x(k) = -k**3 + 11*k**2. Let a be x(11). Factor -6/5*c**2 + t*c**4 + 0*c**3 + 4/5*c + a.
2*c*(c - 1)**2*(c + 2)/5
Determine u, given that -5*u**2 + 19*u**2 + 7*u**3 - 9*u**4 - 2*u**3 + 8*u**4 + 0*u**3 = 0.
-2, 0, 7
Factor -1878 - 987*p**2 + 982*p**2 - 520*p - 11642.
-5*(p + 52)**2
Let t(u) = 0*u - 5 - 269*u**2 - 5*u + 272*u**2. Let m be t(-1). Solve 1/2*b**m + 0*b + 0 + 1/2*b**2 = 0 for b.
-1, 0
Let 3*t**2 + 45/4*t - 3 = 0. Calculate t.
-4, 1/4
Let k(j) be the third derivative of j**7/105 - j**6/5 + j**5/3 + j**4 - 11*j**3/3 + j**2 - 281*j. Solve k(n) = 0.
-1, 1, 11
Suppose -5*u + 3 + 7 = 0. Let z be (-8)/(-10)*(-25)/(-2). Factor 2*y**u + 3*y - 15*y + 3 + z*y**2.
3*(2*y - 1)**2
Factor -6*q**3 + 1/3*q**4 + 24*q**2 + 0*q + 0.
q**2*(q - 12)*(q - 6)/3
Let t be (42 + -32)*(99/(-105) + 1). Factor 0 + 0*q**2 + 4/7*q - 8/7*q**3 + t*q**5 + 0*q**4.
4*q*(q - 1)**2*(q + 1)**2/7
Let p(h) be the third derivative of 7*h**8/120 - 5*h**7/12 + 22*h**6/45 - h**5/5 + 3*h**3 - 21*h**2. Let f(n) be the first derivative of p(n). Solve f(j) = 0.
0, 2/7, 3
Let y(s) be the third derivative of 5*s**8/1176 + 19*s**7/735 + s**6/20 + s**5/42 - s**4/42 - 186*s**2. Determine k, given that y(k) = 0.
-2, -1, 0, 1/5
Let c(f) be the third derivative of 1/30*f**6 - 5/18*f**4 + 0 + 8/45*f**5 + 0*f - 4/3*f**3 - 10*f**2. Factor c(x).
4*(x - 1)*(x + 3)*(3*x + 2)/3
Let w(i) be the third derivative of i**5/15 - 7*i**4/3 - 64*i**3/3 - 2*i**2 + 16*i. Factor w(x).
4*(x - 16)*(x + 2)
Let o(i) be the third derivative of 1/240*i**5 - 6*i**2 + 0*i**3 + 0 + 1/96*i**4 - 1/480*i**6 - 1/840*i**7 + 0*i. Suppose o(b) = 0. What is b?
-1, 0, 1
Let v = 267 - 1065/4. Factor -v*n**2 + 3/2 + 3/4*n.
-3*(n - 2)*(n + 1)/4
Let j be (-4)/(-14) - 187/(-7). Let w be ((-72)/j - (-2 - 1))*6. Suppose -h - 1/2*h**w + 0 = 0. Calculate h.
-2, 0
Let v be ((8/(-5))/(378/(-135)))/((-4)/(-28)). Determine h so that 0 + 0*h + 8/5*h**v + 4/5*h**2 - 2/5*h**5 - 2*h**3 = 0.
0, 1, 2
Let i(t) be the second derivative of t**4/84 + 20*t**3/21 + 39*t**2/14 - t - 141. Factor i(v).
(v + 1)*(v + 39)/7
Let q(i) be the third derivative of i**7/490 + i**6/84 + i**5/60 - i**4/42 - 2*i**3/21 + 6*i**2 - 22. Factor q(b).
(b + 1)**2*(b + 2)*(3*b - 2)/7
Let b(o) be the second derivative of -o**5/40 - o**4/8 + 3*o**3/4 + 27*o**2/2 + 19*o. Let r(j) be the first derivative of b(j). Factor r(z).
-3*(z - 1)*(z + 3)/2
Let r(h) = 22*h**3 - 128*h**2 + 104*h - 29. Let a(i) = 10*i**3 - 64*i**2 + 52*i - 15. Let l(n) = -5*a(n) + 3*r(n). Suppose l(p) = 0. Calculate p.
1/2, 3
Let y = 4035 + -4033. Solve 48 - 12*r + 3/4*r**y = 0.
8
Factor -4*o**2 + 15*o + 2*o**3 + 6*o**2 + 2*o**2 + 27*o**2 + 0*o**3.
o*(o + 15)*(2*o + 1)
Let t = 17 - 1. Suppose 20 = -0*w - 5*w, t = m - w. Determine l, given that 0*l - 64/3*l**4 + 0 - 32*l**3 - m*l**2 = 0.
-3/4, 0
Let n(x) be the second derivative of -x**4/6 - 8*x**3/3 + 118*x. Determine g so that n(g) = 0.
-8, 0
Let u(b) = -3*b**3 + 63*b**2 + 268*b - 4. Let o(a) = -24*a**3 + 441*a**2 + 1875*a - 30. Let g(n) = -2*o(n) + 15*u(n). Determine p so that g(p) = 0.
-15, -6, 0
Let b(j) be the second derivative of -j**5/7 - 27*j**4/28 - 2*j**3 - 2*j**2/7 - 116*j. Find f, given that b(f) = 0.
-2, -1/20
Let k be 2*4/(-14)*(-196)/42. Solve 26/3*h**3 - k*h**4 + 4/3*h + 0 - 22/3*h**2 = 0.
0, 1/4, 1, 2
Let m(d) be the third derivative of 4*d**5/5 - d**3/2 + 78*d**2. Factor m(r).
3*(4*r - 1)*(4*r + 1)
Let y(h) be the first derivative of -2*h**5/5 - 8*h**4 - 438. Factor y(q).
-2*q**3*(q + 16)
Let b be 5 - 9 - (-3 + 5). Let w(z) = -5*z**2 - 35*z - 235. Let p(u) = u**2 + 6*u + 39. Let g(c) = b*w(c) - 35*p(c). Solve g(x) = 0.
-3, 3
Factor 1/4*m**4 + 1/4*m**3 + 11/4*m - 1 - 9/4*m**2.
(m - 1)**3*(m + 4)/4
Let x = 3 + 2. Suppose x*n = 3*n + 4. Factor -4*y**2 - 5*y**n + 3*y**3 + 9 + 3.
3*(y - 2)**2*(y + 1)
Let o = 92/7 - 439/35. Suppose 71*d + 104 = -61*d + 158*d. Find s, given that 0*s - 3/5*s**2 - o*s**d + 6/5*s**3 + 0 = 0.
0, 1
Let c(n) be the third derivative of n**7/315 + 11*n**6/180 - 2*n**5/15 - 93*n**2. Determine z so that c(z) = 0.
-12, 0, 1
Solve 1/2*u**4 - 3/4*u - 1/2*u**2 + 0 - 1/4*u**5 + u**3 = 0 for u.
-1, 0, 1, 3
Let a be 2/(-5) - ((-576)/(-160) - 4). Suppose -2*i + 5 = 1. Determine r, given that r**3 + a + 9/5*r**i + 2/5*r - 7/5*r**5 - 9/5*r**4 = 0.
-1, -2/7, 0, 1
Let w(u) be the thir