 be 4 - (-10 - -9) - (-186)/(-38). What is s in 0*s**2 + 0*s**4 - 4/19*s**3 + 0 + r*s**5 + 2/19*s = 0?
-1, 0, 1
Let m(w) = 37*w - 148. Let u be m(4). Factor 4/11*f**5 - 2/11*f**3 + u*f - 2/11*f**4 + 0 + 0*f**2.
2*f**3*(f - 1)*(2*f + 1)/11
Factor 288/7 - 396/7*r + 16/7*r**2.
4*(r - 24)*(4*r - 3)/7
Let d(p) = 2*p**2 - 2. Let o be (-539)/(-105) + 4/(-30). Let k(g) = 2*g**2 - 2. Let a be (-9)/((-3)/(-2) + 0). Let t(j) = a*k(j) + o*d(j). Factor t(q).
-2*(q - 1)*(q + 1)
Let c be 3/(-7) - 9/(-21) - 3. Let n be -13*(-2)/12 + c/18. Determine i, given that 0*i**n + 3/4*i**5 - 9/4*i**4 + 3/2*i**3 + 0 + 0*i = 0.
0, 1, 2
Let p = -5 + 5. Let a(r) be the third derivative of 0*r**3 + p*r**4 - 1/70*r**7 - 1/20*r**6 + 0 - 4*r**2 - 1/20*r**5 + 0*r. Factor a(b).
-3*b**2*(b + 1)**2
Let h(v) be the third derivative of -v**8/1680 + 2*v**7/945 - v**6/540 + v**4/3 + 12*v**2. Let d(n) be the second derivative of h(n). Factor d(r).
-4*r*(r - 1)*(3*r - 1)/3
Let i(a) = a - 14. Let s be (0/(-1) + -4)*7/(-2). Let w be i(s). Factor w*l - 3/2*l**2 + 0 - 3/2*l**4 - 3*l**3.
-3*l**2*(l + 1)**2/2
Let x(f) be the third derivative of -f**5/105 - 46*f**4/21 - 4232*f**3/21 - 123*f**2 - 2. Let x(a) = 0. What is a?
-46
Suppose 12 = 4*f - 0. Factor -12*o**3 + 30 + 17*o**3 + 34*o**2 - 65*o + f*o - 7*o**3.
-2*(o - 15)*(o - 1)**2
Let n(i) = i**3 + 12*i**2 - 26*i + 31. Let y be n(-14). Factor 7*t**3 + 8 + 0*t - y*t**3 - 8*t**2 + t - 5*t.
4*(t - 2)*(t - 1)*(t + 1)
Factor -765*t**4 - 766*t**4 + 4*t + 1532*t**4 - 4*t**2 - t**3.
t*(t - 2)*(t - 1)*(t + 2)
Let b be ((-1)/45)/((-4)/24*(1 - 0)). Factor -2/15*o**3 - 4/15 - 2/5*o**2 + b*o**4 + 2/3*o.
2*(o - 1)**3*(o + 2)/15
Let k(s) = 14*s - 14. Let v be k(1). Let h(m) be the second derivative of 0*m**3 - 1/75*m**6 + v*m**5 - 2*m + 0 + 1/30*m**4 + 0*m**2. Factor h(a).
-2*a**2*(a - 1)*(a + 1)/5
Factor -108*s - 289*s**3 - 1 - 1 - 166*s**2 + 283*s**3 + 2.
-2*s*(s + 27)*(3*s + 2)
Let 21/5*y**2 + y**3 - 2/5*y**4 + 1 + 19/5*y = 0. Calculate y.
-1, -1/2, 5
Let a(t) be the first derivative of 1/7*t**3 + 11 + 0*t**2 - 3/7*t. Factor a(c).
3*(c - 1)*(c + 1)/7
Let k(l) be the second derivative of 0 + 1/15*l**5 + 0*l**2 + 9*l - 2/3*l**3 + 1/18*l**6 - 1/2*l**4. Let a(n) be the second derivative of k(n). Factor a(j).
4*(j + 1)*(5*j - 3)
Suppose -14 - 1/2*b**3 - 3/2*b**2 + 12*b = 0. Calculate b.
-7, 2
Suppose 28 = 2*g - 0*g + 22. Factor -19/12*h**g + 7/12*h**4 - 1/12*h**5 + 25/12*h**2 + 1/3 - 4/3*h.
-(h - 2)**2*(h - 1)**3/12
Let n(f) be the second derivative of -1/38*f**5 + 0*f**2 + 3/19*f**3 - 1/38*f**4 - 1/285*f**6 - 34*f + 0. Factor n(b).
-2*b*(b - 1)*(b + 3)**2/19
Let w = -223 + 218. Let o be 5 + -3 + (30/4)/w. Solve o*k**2 + 0*k + 0 = 0.
0
Let i(t) be the second derivative of t**5/40 + 5*t**4/12 + 8*t**3/3 + 8*t**2 - 326*t. Factor i(n).
(n + 2)*(n + 4)**2/2
Factor -123*y + 155*y**2 - 76*y**2 - 78 - 127*y**2 - 3*y**3.
-3*(y + 1)*(y + 2)*(y + 13)
Let w(p) be the third derivative of p**6/270 + p**5/90 - p**4/36 - 2*p**3/27 - 2*p**2 - 58*p. Factor w(y).
2*(y - 1)*(y + 2)*(2*y + 1)/9
Let m be (-84)/(-21) - (-1 + 3). Let a(i) be the second derivative of 0 + 0*i**m + 1/4*i**4 + 1/2*i**3 - 5*i. Solve a(r) = 0 for r.
-1, 0
Let s(n) be the second derivative of 9*n**4/4 - 77*n**3 + 51*n**2/2 - 323*n. Factor s(j).
3*(j - 17)*(9*j - 1)
Let l(n) be the second derivative of 4*n**2 + 6*n + 4/5*n**5 + 2/21*n**7 + 2/3*n**4 + 0 - 8/15*n**6 - 10/3*n**3. Let l(x) = 0. Calculate x.
-1, 1, 2
Let z = -28 - -33. Suppose 6*i**3 - 1223 + 7*i**5 - 9*i**4 + 1223 - 4*i**z = 0. Calculate i.
0, 1, 2
Let 5/7 - 4/7*x - 1/7*x**2 = 0. What is x?
-5, 1
Suppose -5*m = 3*w - 4*w - 12, -5*m = 5*w. Factor 1/8*n**5 + 0 + 1/8*n**4 + 0*n + 0*n**3 + 0*n**m.
n**4*(n + 1)/8
Let w(a) = -5*a**4 + 20*a**3 + 5*a**2. Let z(t) = t**2 + 2*t**3 + 0*t**2 - t**3. Let r(n) = -w(n) + 10*z(n). Factor r(d).
5*d**2*(d - 1)**2
Let o(t) be the first derivative of -t**4/96 + t**3/48 + t**2/8 + 12*t + 8. Let v(i) be the first derivative of o(i). Factor v(h).
-(h - 2)*(h + 1)/8
Let p = 109/3 - 36. Let l = -1122 - -1126. Factor 8/3*z + 2*z**3 + l*z**2 + p*z**4 + 0.
z*(z + 2)**3/3
Let w(j) be the second derivative of 0*j**5 + 9/8*j**2 - 44*j + j**3 - 1/40*j**6 + 0 + 3/8*j**4. Determine h so that w(h) = 0.
-1, 3
Let a(f) be the second derivative of 3*f**5/160 - 3*f**4/16 - 15*f**3/16 - 3*f**2/2 - 58*f. Factor a(n).
3*(n - 8)*(n + 1)**2/8
Let j = 1005 + -18085/18. Let v(o) be the second derivative of -1/10*o**5 - j*o**4 + 0 - 2/9*o**3 + 5*o + 0*o**2. Factor v(i).
-2*i*(i + 1)*(3*i + 2)/3
Let g(y) be the first derivative of -y**5/20 - 7*y**4/4 - 49*y**3/2 + 13*y**2/2 + 18. Let n(r) be the second derivative of g(r). Determine u so that n(u) = 0.
-7
Suppose k = 0, 0 = -3*j - 4*k + 3*k - 4*k. Let t(l) be the second derivative of 1/10*l**5 + 1/6*l**4 + 0*l**2 - 1/3*l**3 - 1/15*l**6 - l + j. Factor t(v).
-2*v*(v - 1)**2*(v + 1)
Let j(w) = -10*w + 2*w**2 + 24*w - 13*w - 3*w**2 + 2. Let l(a) = 10*a**2 - 15*a - 10. Let m(d) = 6*j(d) + l(d). Let m(q) = 0. Calculate q.
1/4, 2
Let c(r) be the first derivative of 27 - 2/3*r**3 - 4*r - 3*r**2. What is y in c(y) = 0?
-2, -1
Solve 4/17*o + 2/17*o**4 - 10/17*o**2 - 2/17*o**5 + 0 + 6/17*o**3 = 0.
-2, 0, 1
Let o(s) be the first derivative of -2*s**3/21 - 8*s**2/7 + 18*s/7 - 421. Factor o(w).
-2*(w - 1)*(w + 9)/7
Let i(b) be the third derivative of -5*b**8/336 + 31*b**6/24 + 53*b**5/6 + 55*b**4/2 + 140*b**3/3 - 359*b**2. Solve i(l) = 0.
-2, -1, 7
Let o(r) be the third derivative of -r**8/840 + r**7/350 + r**6/60 - r**4/15 - r**3/10 - 44*r**2. Find u such that o(u) = 0.
-1, -1/2, 1, 3
Let y be 15 + -5 - 0/(-1). Suppose -15*n = -y*n. Factor 0*o - 2/9*o**2 - 4/9*o**3 - 2/9*o**4 + n.
-2*o**2*(o + 1)**2/9
Let k = -39 - -64. Let o = k - 23. Determine m, given that 2/3*m**o - 2*m + 4/3 = 0.
1, 2
Suppose -3*a + 20 = -16. Let m be a/(-4) - (1 + -7). Factor -h**2 - 4 + 0*h + m*h**2 + h + h.
2*(h - 1)*(h + 2)
Let s(b) = 4*b**3 - 156*b**2 + 1590*b - 1447. Let w(t) = -4*t**3 + 156*t**2 - 1592*t + 1446. Let z(r) = -2*s(r) - 3*w(r). What is u in z(u) = 0?
1, 19
Let u(h) be the first derivative of 98/11*h + 4 - 6/11*h**4 + 2/55*h**5 + 84/11*h**2 + 4/3*h**3. Factor u(x).
2*(x - 7)**2*(x + 1)**2/11
Let a(v) be the first derivative of -2*v**6/3 + 108*v**5/5 - 116*v**4 + 512*v**3/3 + 192*v**2 - 704*v - 21. Factor a(k).
-4*(k - 22)*(k - 2)**3*(k + 1)
Let w(i) be the first derivative of i**3/5 - 12*i**2 + 240*i + 69. Factor w(g).
3*(g - 20)**2/5
Let i(c) be the first derivative of -c**4/4 + 2*c**3/3 + 3*c**2/2 - 76. Find q such that i(q) = 0.
-1, 0, 3
Let t(y) be the third derivative of y**5/15 - 5*y**4/3 + 32*y**3/3 - 340*y**2. Factor t(g).
4*(g - 8)*(g - 2)
Let c(p) = 13*p - 1. Let y be c(1). Suppose -z - 5*h = y, 4*z + 5*h = h. Factor -n**5 - 4*n + 2*n**3 + 1 + z*n - 1.
-n*(n - 1)**2*(n + 1)**2
Let i(d) be the third derivative of -d**5/150 - 4*d**4/5 - 192*d**3/5 - 18*d**2 + 3. Find h, given that i(h) = 0.
-24
Let o(q) = q**4 - 7*q**2 - 5*q - 4. Let m(j) be the first derivative of j**3/3 + j**2/2 + j + 13. Let n(u) = 10*m(u) + 2*o(u). What is f in n(f) = 0?
-1, 1
Let f = 721 - 721. Let m(k) be the third derivative of 1/84*k**4 - 2*k**2 + 0*k**3 + 0 + 1/210*k**5 + f*k. Determine v so that m(v) = 0.
-1, 0
Suppose 0 = -2*q + 4*d - 6, 5*q = 4*d - 0 + 3. Factor -x**2 - x**2 + 9 - 10*x + 4*x + q*x**2.
(x - 3)**2
Let s(n) be the second derivative of n**7/672 + n**6/144 - 7*n**5/96 + 5*n**4/24 + n**3/6 - 35*n. Let q(a) be the second derivative of s(a). Factor q(y).
5*(y - 1)**2*(y + 4)/4
Suppose 0 = 4*z - 3*z - 20. Let l = z - 13. Suppose 5*a**2 + 3*a**3 + 2*a**4 - 2*a**5 - l*a**2 - a**3 = 0. Calculate a.
-1, 0, 1
Let i(w) = w**5 + w**4 + 2*w - 1. Let l(x) = 3*x**5 - 9*x**4 + 18*x**3 - 14*x**2 + 6*x - 1. Let u(b) = -2*i(b) + 2*l(b). Factor u(j).
4*j*(j - 2)*(j - 1)**3
Let n(d) = -d**2 - 1. Let t(m) be the first derivative of m**3 - 5*m**2/2 - 12*m - 1. Let s(l) = 2*n(l) - t(l). Factor s(v).
-5*(v - 2)*(v + 1)
Let x(g) be the third derivative of g**8/60480 + g**7/7560 + g**6/3240 - 9*g**4/8 - 15*g**2. Let q(t) be the second derivative of x(t). What is v in q(v) = 0?
-2, -1, 0
Let s = 79 - 71. Find k, given that 0*k**2 - 8*k + s*k**2 + 4*k**3 - 4*k**2 = 0.
-2, 0, 1
Let u = 29/33 - -41/66. Let b(t) = t**2 + 2*t. Let k be b(-