- 10/13*b**4.
2*b*(b - 1)**3*(2*b + 1)/13
Let u = 1 - -2. Let f = 45 - 40. Find r, given that r**4 - 4*r**5 + r + u*r**f + r**2 + r**4 - 3*r**2 = 0.
-1, 0, 1
Let f = -25 - -31. Suppose f*l = 9*l - 6. Solve 2/5 + 0*z - 2/5*z**l = 0.
-1, 1
Let o(m) = -m**3 + 7*m**2 - 4*m - 8. Let s be o(6). Determine y so that 2676*y**4 + 712*y**s + 17072*y**3 - 47 - 608*y - 130438*y**5 - 17 + 800*y**2 = 0.
-2/11, 2/7
Factor 0 - 4/3*o**4 - 8/3*o**3 + 0*o + 32/3*o**2.
-4*o**2*(o - 2)*(o + 4)/3
Let i(x) be the third derivative of x**7/42 - 7*x**6/12 + 53*x**5/12 - 95*x**4/6 + 30*x**3 + 14*x**2 - 1. Factor i(z).
5*(z - 9)*(z - 2)**2*(z - 1)
Let p = 16 + -7. Let u = p - 4. What is v in -6*v**3 - 2 - 4 + 3*v**u - 6*v**4 + 19*v**2 + 3*v - 7*v**2 = 0?
-1, 1, 2
Let b(v) be the third derivative of v**5/150 - v**4/10 + 9*v**2 + 21*v. Factor b(f).
2*f*(f - 6)/5
Let d(i) = 2*i**2 - 6*i - 6. Let o be d(-1). Let s(w) be the first derivative of 0*w - 2/11*w**o + 2/33*w**3 + 5. What is v in s(v) = 0?
0, 2
Let m(w) = -w**2 - 12*w. Let c be m(-12). Let n be c + (3 - 3)/(-2). Factor -g + 1/2*g**3 + n - 1/2*g**2.
g*(g - 2)*(g + 1)/2
Let a be 27/3 + (432/8)/(-9). Suppose 2*r**a + 8/5*r - 26/5*r**2 + 8/5 = 0. Calculate r.
-2/5, 1, 2
Suppose -2*r = 3*r - 175. Solve 15 - 11*f**2 + r*f + 10*f**2 + 11*f**2 = 0 for f.
-3, -1/2
Let n be 14/4*(17/28 - 7/(-28)). Find r, given that 27/2 - 9*r**n + 3/2*r**5 + 63/2*r + 15*r**2 - 9/2*r**4 = 0.
-1, 3
Let c be (8*1)/((-2980)/(-57216)). What is j in -96*j**2 - 9*j**4 + 0*j + c - 48*j**3 - 3/5*j**5 = 0?
-4, 1
Let u = -3456 - -3459. Let 0 - 1/5*l**4 + 0*l - 1/5*l**u + 1/5*l**2 + 1/5*l**5 = 0. What is l?
-1, 0, 1
Suppose 2*l + 341 + 149 = 0. Let n = l + 245. Factor -3/2*y + 3/4*y**3 + n + 3/4*y**2.
3*y*(y - 1)*(y + 2)/4
Let p(d) be the first derivative of -5*d**4/16 + 15*d**3 - 1785*d**2/8 + 1445*d/2 + 345. Factor p(a).
-5*(a - 17)**2*(a - 2)/4
Suppose -24*v + 5 = -47*v + 74. Solve -3/10*l**5 + 0 + 33/10*l**2 + l + 7/10*l**4 + 33/10*l**v = 0 for l.
-1, -2/3, 0, 5
Let d(n) be the first derivative of 1/21*n**6 - 41 - 1/7*n**4 + 4/35*n**5 - 4/7*n - 16/21*n**3 - n**2. Factor d(c).
2*(c - 2)*(c + 1)**4/7
Solve -24/7*z**2 - 16 + 124/7*z = 0 for z.
7/6, 4
Suppose -68/7*u + 1/7*u**4 - 37/7*u**2 - 36/7 - 4/7*u**3 = 0. Calculate u.
-2, -1, 9
Let t = 20 - 25. Let l(b) be the second derivative of b**4/6 - 5*b**3/6 + 3*b**2/2 + b. Let g(q) = -q + 1. Let p(f) = t*g(f) + l(f). Factor p(a).
2*(a - 1)*(a + 1)
Determine s, given that 2*s**4 - 88/7*s - 2/7*s**2 + 52/7*s**3 + 24/7 = 0.
-3, -2, 2/7, 1
Let o(y) be the third derivative of y**5/60 + 37*y**4/24 + 6*y**3 + 287*y**2. Let o(f) = 0. Calculate f.
-36, -1
Suppose 0 = -13*g - 8 - 5. Let a(j) = 15*j**2 - j - 1. Let h be a(g). Factor -1/4*c**4 + 13/4*c**3 + 28*c - h*c**2 - 16.
-(c - 4)**3*(c - 1)/4
Let f = 1539 - 1535. Let -10/7*k**2 - 4/7*k**3 + 4/7*k + 0 + 10/7*k**f = 0. Calculate k.
-1, 0, 2/5, 1
Let j = 44 - 39. Suppose 0*u - j*u = 0. Determine w so that 0*w + 1/3*w**2 + u = 0.
0
Factor -1803*j - 192 + 874*j + 825*j - 4*j**2.
-4*(j + 2)*(j + 24)
Let o(g) = 20*g**3 - 20*g**2 - 16*g. Let n(b) = 13*b**3 - 13*b**2 - 11*b. Suppose 0 = -4*f - 4*f - 40. Let k(w) = f*o(w) + 8*n(w). Factor k(i).
4*i*(i - 2)*(i + 1)
Suppose -8 = 37*w - 38*w. Let q be ((-6)/w)/(-4 + 1). Suppose 1/4*b**2 + 0 - q*b = 0. Calculate b.
0, 1
Suppose 0 = d - 6*d + 15. Let k(f) = 2*f + 5*f - 8*f + 4*f**2 - d. Let r(l) = -10*l**2 + 2*l + 8. Let p(u) = 12*k(u) + 5*r(u). Find b, given that p(b) = 0.
-2, 1
Let w(b) be the first derivative of 9*b**4/4 - 10*b**3 - 23*b**2/2 - 4*b - 72. Factor w(j).
(j - 4)*(3*j + 1)**2
Let x(j) be the third derivative of -j**6/180 - 7*j**5/45 + 31*j**4/36 - 16*j**3/9 - 82*j**2. Suppose x(c) = 0. What is c?
-16, 1
Let n(y) be the second derivative of 9*y**5/110 - 5*y**4/11 - 9*y**3/11 + 12*y**2/11 - 278*y. Factor n(d).
6*(d - 4)*(d + 1)*(3*d - 1)/11
Let t(z) be the second derivative of -1/60*z**6 + 0*z**3 + 1/24*z**4 + 1/20*z**5 - 1/42*z**7 + 0*z**2 + 0 - 14*z. Solve t(d) = 0.
-1, -1/2, 0, 1
Let j = 79/6 - 517/42. Let s be 32/(-16) + 1*4. Factor j*z**s + 2/7*z**3 + 2/7 + 6/7*z.
2*(z + 1)**3/7
Let l be 5/25*455/26*(-60)/(-147). Factor -8/7*v**2 + l*v - 2/7.
-2*(v - 1)*(4*v - 1)/7
Let z = 1209 - 1193. Let g(i) be the first derivative of 1/3*i**3 - 4*i**2 + z*i - 6. What is s in g(s) = 0?
4
Let f(j) = -j**5 - j**4 + j**3 - j**2 + 2*j. Let u(y) = y**5 + 19*y**4 + 57*y**3 + 67*y**2 + 16*y. Let g(k) = -3*f(k) - u(k). Let g(o) = 0. What is o?
-1, 0, 11
Let n(x) be the first derivative of 9*x**4/20 - 19*x**3/15 + x**2 + 277. Determine p so that n(p) = 0.
0, 1, 10/9
Let g(w) be the first derivative of 2*w**5/75 + 19*w**4/15 + 794*w**3/45 + 228*w**2/5 + 216*w/5 - 615. Factor g(l).
2*(l + 1)**2*(l + 18)**2/15
Suppose -108*y + 175 = -41. Factor 12/7*c + 4/7 + 4/7*c**3 + 12/7*c**y.
4*(c + 1)**3/7
Suppose -25 + 161 = 63*z - 116. Solve 3/4 + 15/8*b**z + 9/8*b - 9/8*b**3 - 21/8*b**2 = 0 for b.
-1, -2/5, 1
Suppose 3*p - 4 = 5. Suppose 10 = -p*n + 73. Solve -10*j**5 - 17*j**5 + n*j - 13*j**2 - 21*j**2 + 6*j**3 - 3 + 45*j**4 - 8*j**2 = 0 for j.
-1, 1/3, 1
Let y(k) be the first derivative of -3*k**4/20 + 24*k**3/5 - 189*k**2/10 - 573. Factor y(s).
-3*s*(s - 21)*(s - 3)/5
Determine i, given that 5*i**5 + 7*i**5 + 25*i - 15*i**5 - 18*i**2 + 18*i**4 - 10*i - 12*i**3 = 0.
-1, 0, 1, 5
Let u(n) be the second derivative of 5*n + 0*n**2 - 1/16*n**4 - 1/12*n**3 + 0 - 1/80*n**5. Factor u(i).
-i*(i + 1)*(i + 2)/4
Suppose -5*l + 2*l + 4 = 4*t, -6 = -4*l - 5*t. Let 0*v**2 + 4*v**3 - v**2 + 5*v**l - v**4 - 4*v**5 - 3*v**2 = 0. Calculate v.
-1, 0, 1
Let l be -3 - (10/8*4)/(-1). Factor -4*m**3 - l*m + 0*m**3 + 6*m**3.
2*m*(m - 1)*(m + 1)
Let t = 33443/7 + -4777. Factor -t*r**2 - 2/7*r + 2/7.
-2*(r + 1)*(2*r - 1)/7
Let y(f) be the first derivative of f**6/30 + 4*f**5/15 + 2*f**4/3 - 10*f**2 + 27. Let d(k) be the second derivative of y(k). Solve d(n) = 0.
-2, 0
Let z be 1*-1*(1 + -1). Let x = 284/231 - -16/33. Determine v so that x*v**2 + z + 4/7*v - 20/7*v**3 + 16/7*v**5 - 12/7*v**4 = 0.
-1, -1/4, 0, 1
Let s(q) be the second derivative of 1/4*q**4 + 17*q + 0 - 7/10*q**3 + 3/5*q**2. Factor s(n).
3*(n - 1)*(5*n - 2)/5
Let u(j) be the first derivative of -j**6/14 + 12*j**5/35 - 15*j**4/28 + 2*j**3/7 + 10. Factor u(p).
-3*p**2*(p - 2)*(p - 1)**2/7
Let w(j) be the third derivative of 0 + 0*j**3 - 1/90*j**5 + 12*j**2 - 1/315*j**7 + 0*j + 0*j**4 - 1/90*j**6. Find r, given that w(r) = 0.
-1, 0
Let z(k) = 4*k - 4. Let b be z(3). Let i be (-4 + 4)/(-2) - (4 - 6). Find r, given that b + 1 - 2*r**i + 0*r**2 + 2*r - 5 = 0.
-1, 2
Let t(c) be the third derivative of c**9/12096 - c**8/4032 - c**7/1008 + c**6/144 - c**5/15 - 9*c**2. Let f(v) be the third derivative of t(v). Factor f(p).
5*(p - 1)**2*(p + 1)
Let k(v) = v - 6. Let o be k(9). Suppose -o*h = -6*h + 6. Factor 10 - h*m**4 - 10 - 2*m**2 + 4*m**3.
-2*m**2*(m - 1)**2
Suppose 15 = 5*l + x, -2 = 5*l - l - 2*x. Find a such that 8*a**l - 14*a**4 - 44*a**3 - 12*a**4 + 2*a**4 = 0.
-2, 0, 1/6
Let i = -38 - -43. Factor -k - 4*k**4 - 17*k**i - k + 19*k**5 + 4*k**2.
2*k*(k - 1)**3*(k + 1)
Let p(i) be the first derivative of i**3/3 - i**2 + i - 7. Let y be p(4). Factor -y*u**3 + 6*u**2 + 7*u**3 - 13*u**3.
-3*u**2*(5*u - 2)
Factor -25/7*r**2 - 5*r**3 - 1/7*r**5 - 11/7*r**4 + 0*r + 0.
-r**2*(r + 1)*(r + 5)**2/7
Let r(t) be the third derivative of t**6/200 - 4*t**5/25 + 3*t**4/8 - t**2 - 38*t. Factor r(g).
3*g*(g - 15)*(g - 1)/5
Suppose -4*i + 18 = -2*t, 0 = -0*i + 3*i - 15. Let p(l) = 4*l**2 - 5*l + 1. Let n be p(t). Factor n*y + 0*y**2 + 8/7*y**3 + 10/7*y**5 - 24/7*y**4 + 0.
2*y**3*(y - 2)*(5*y - 2)/7
Find b such that 4*b + 12/7 + 16/7*b**2 = 0.
-1, -3/4
Let r(m) be the second derivative of m**7/42 - m**6/10 + m**5/10 + m**4/6 - m**3/2 + m**2/2 + 13*m - 2. Factor r(f).
(f - 1)**4*(f + 1)
Factor -6 + 1/2*p**5 - 16*p - 23/2*p**2 + 3/2*p**3 + 7/2*p**4.
(p - 2)*(p + 1)**3*(p + 6)/2
Let m be (170 + -177)*4/(-154). Determine o, given that -2/11*o**4 - m*o**3 + 0*o**2 + 0*o + 0 = 0.
-1, 0
Find q such that 28/5*q**2 + 0*q + 2/5*q**4 - 6*q**3 + 0 = 0.
0, 1, 14
Suppose -38 = -12*b + 22. Factor 6*n**3 + 41*n**b - 9*n + 3 - 80*n**5 + 42*n**5 + 6*n**2 - 9*n**4.
3*(n - 1)**4*(n + 1)
Let b(a) = 2*a - 16. Let k be b(0). Let u = 40 + k. Fact