*o**v - 14/3*o**2 + 8/3 + 0*o = 0. What is o?
-2, -1, 2/3
Find w such that -4*w**5 + 5891*w**2 + 165*w**3 + w**5 + 6*w**4 - 6059*w**2 = 0.
-7, 0, 1, 8
Let p(a) = -a**3 + a**2 - 1. Let w(o) be the first derivative of -5*o**4 + 15*o**3 + 10*o**2 - 25*o + 3. Let d(f) = -25*p(f) + w(f). What is s in d(s) = 0?
-2, 0
Let n(a) be the second derivative of -a**4/36 - 2*a**3/9 - 52*a. Factor n(l).
-l*(l + 4)/3
Let n(m) = m**3 + m**2 + 1. Let p(c) = 7*c**3 - 4*c**2 + 17*c - 2. Let i(q) = 6*n(q) - p(q). Factor i(d).
-(d - 8)*(d - 1)**2
Let i(v) be the first derivative of 11/34*v**4 + 4 - 6/17*v - 38/51*v**3 + 13/17*v**2 - 4/85*v**5. Let i(x) = 0. Calculate x.
1/2, 1, 3
Let k(z) be the first derivative of 1/30*z**6 - 7*z**2 - 1/5*z**5 - 1 + 0*z**3 + 0*z + 1/3*z**4. Let x(q) be the second derivative of k(q). Factor x(v).
4*v*(v - 2)*(v - 1)
Let o = -26 - -31. Let n(f) = 6*f**4 - 26*f**3 + 4*f**2 - 8. Let p(q) = 4*q**4 - 17*q**3 + 3*q**2 - 5. Let m(x) = o*n(x) - 8*p(x). Find v such that m(v) = 0.
0, 1, 2
Let j(i) be the second derivative of 5*i**6/6 - 3*i**5/2 - 37*i**4/4 - 34*i**3/3 - 6*i**2 + 227*i. Determine n, given that j(n) = 0.
-1, -2/5, 3
Let v(p) = p**3 + 3*p**2 + 8*p - 9. Let g be v(-4). Let y = g + 59. Let 6/5*h**3 - 2/5*h**4 - 6/5*h**y + 0 + 2/5*h = 0. Calculate h.
0, 1
Let u(s) = s**3 - 3*s**2 - 63*s - 111. Let i be u(-5). Factor 0 - 2/7*r**i - 8/7*r + 0*r**2 + 6/7*r**3.
-2*r*(r - 2)**2*(r + 1)/7
Let l(d) be the first derivative of -d**7/70 - 3*d**6/40 + 3*d**5/10 + 7*d**4/2 + 12*d**3 + 5*d**2 - 24. Let w(h) be the second derivative of l(h). Factor w(k).
-3*(k - 3)*(k + 2)**3
Let i(x) be the third derivative of -x**5/135 + x**4/18 + 8*x**3/27 + 60*x**2. Factor i(n).
-4*(n - 4)*(n + 1)/9
Let c(y) be the first derivative of -2/25*y**5 + 0*y + 1/5*y**2 - 1/10*y**4 + 2/15*y**3 + 2. Factor c(o).
-2*o*(o - 1)*(o + 1)**2/5
Factor 26/21*u**2 + 2/21*u**4 - 4/3*u**3 + 0 + 0*u.
2*u**2*(u - 13)*(u - 1)/21
Let w(g) be the second derivative of g**6/240 + 7*g**5/120 - g**4/48 - 7*g**3/12 + 19*g**2 + g - 6. Let b(v) be the first derivative of w(v). Factor b(f).
(f - 1)*(f + 1)*(f + 7)/2
Suppose -88*r + 114*r = 52. What is i in 1/7*i**3 - 2/7 - 3/7*i + 0*i**r = 0?
-1, 2
Let z(u) = -2*u + 4*u - 10 - 6*u - 3*u + 5*u**2. Let b(t) = -t. Let f(q) = 2*b(q) - z(q). Suppose f(y) = 0. What is y?
-1, 2
Suppose 54*q + 69*q = 13*q. Suppose -2/7*u**3 + 0 + 2/7*u + q*u**2 = 0. What is u?
-1, 0, 1
Let p(n) be the second derivative of 10*n - 2/3*n**4 + 0 - 1/10*n**5 + 1/42*n**7 + 1/15*n**6 - 7/6*n**3 - n**2. Factor p(j).
(j - 2)*(j + 1)**4
Let t(f) be the second derivative of -1/135*f**6 + 5/9*f**2 - 14/27*f**3 - 1/45*f**5 + 2/9*f**4 + 4*f + 0. Solve t(d) = 0 for d.
-5, 1
Let s be (2/(-30))/(2/4962). Let f = -165 - s. Factor 7/5*b + 4/5*b**2 - f.
(b + 2)*(4*b - 1)/5
Let a(r) be the second derivative of 0 + 1/4*r**2 - 14*r + 1/6*r**3 + 1/24*r**4. Let a(m) = 0. Calculate m.
-1
Let g(m) be the first derivative of m**4/30 - 2*m**3/15 + m**2/5 - m + 11. Let z(s) be the first derivative of g(s). Factor z(u).
2*(u - 1)**2/5
Let p(x) be the first derivative of -x**4/22 - 10*x**3/33 + 8*x**2/11 + 96*x/11 + 59. Factor p(l).
-2*(l - 3)*(l + 4)**2/11
Suppose 52*b = 54*b + a - 13, 0 = 2*b + 4*a - 34. Suppose 4/19 - 18/19*l + 6/19*l**2 + 8/19*l**b = 0. Calculate l.
-2, 1/4, 1
Let x(j) = 20*j**2 + 395*j - 8845. Let n(u) = u**2 - u - 1. Let a(g) = -25*n(g) + x(g). Factor a(v).
-5*(v - 42)**2
Let d(z) be the third derivative of z**8/1344 + z**7/84 + z**6/15 + 19*z**5/120 + 5*z**4/32 + 53*z**2 + 2*z. Solve d(g) = 0.
-5, -3, -1, 0
Let m(d) = d**2 + 2*d + 1. Let v(a) = 48*a**3 + 24*a**2 - 40*a - 16. Let i(s) = -28*m(s) - 2*v(s). Factor i(r).
-4*(r + 1)*(3*r - 1)*(8*r + 1)
Let h(f) be the first derivative of -4 - f**4 - 2*f**2 - 8/3*f**3 + 0*f. Factor h(b).
-4*b*(b + 1)**2
Determine n, given that -144/13 - 18/13*n**3 - 600/13*n + 212/13*n**2 = 0.
-2/9, 6
Let i(b) = 6*b**2 - 9*b + 36. Let l(p) = -7*p**2 + 5*p - 36. Let v(o) = 4*i(o) + 3*l(o). Factor v(n).
3*(n - 4)*(n - 3)
Let w = 901 + -899. Let 0 - 4/11*q**4 + 0*q + 0*q**w + 2/11*q**5 + 2/11*q**3 = 0. Calculate q.
0, 1
Factor 18*d**3 + 24*d**2 + 18/5 + 3/5*d**5 + 15*d + 6*d**4.
3*(d + 1)**4*(d + 6)/5
Let i(l) be the first derivative of -l**8/1176 - l**7/147 - 2*l**6/105 - 2*l**5/105 - 4*l**2 + 8. Let r(x) be the second derivative of i(x). Factor r(o).
-2*o**2*(o + 1)*(o + 2)**2/7
Suppose -88*c + 3*c**2 - 11*c**2 - 14 - 8*c**3 - 44*c**2 - 18 = 0. What is c?
-4, -2, -1/2
Let k(p) = -p + 27. Let c be k(25). Factor 3/2*m**c - 3/2*m + 0.
3*m*(m - 1)/2
Let a(f) be the first derivative of 4*f**5/15 - 5*f**4/6 - 8*f**3/9 + f**2 - 31. Determine q so that a(q) = 0.
-1, 0, 1/2, 3
Let v(x) = -7*x**2 - 189*x + 4. Let h be v(-27). Factor -1/2*b**5 + 0*b + 0*b**2 - 3/2*b**h + 0 - b**3.
-b**3*(b + 1)*(b + 2)/2
Suppose 2*v = 6*k - 2*k - 2, 0 = 5*k + v - 13. Factor 4/5*o**k + 4/5 + 8/5*o.
4*(o + 1)**2/5
Let v(r) be the first derivative of -r**9/3024 - r**8/560 - r**7/420 - 8*r**3 + 12. Let g(o) be the third derivative of v(o). What is h in g(h) = 0?
-2, -1, 0
Suppose -3*p - 2*s + 21 = 2*s, -s = -5*p + 12. Let q = p - 8/3. Factor -3*d**5 + 2/3*d**3 + 0 + 4/3*d**2 - 4*d**4 - q*d.
-d*(d + 1)**2*(3*d - 1)**2/3
Let p = -10675 + 10675. Factor p + 0*u**2 - 2/3*u + 2/3*u**3.
2*u*(u - 1)*(u + 1)/3
Suppose -j = 5*h + 19, 0 - 17 = 3*j - 5*h. Let f be (-2)/(-15)*15*(-2)/j. Let -4/9 - 2/3*l + f*l**2 + 2/3*l**3 = 0. What is l?
-1, -2/3, 1
Let b(c) be the second derivative of c**4/3 - 76*c**3/3 + 144*c**2 + 279*c. Factor b(a).
4*(a - 36)*(a - 2)
Let a be (-47201)/726 + ((-12)/(-22))/3. Let d = a - -65. Determine f, given that -1/6 + 1/3*f - d*f**2 = 0.
1
Let g(q) = -7*q**3 + 5*q**2 - 13*q + 3. Let d(l) = -48*l**3 + 36*l**2 - 90*l + 21. Let c(m) = 4*d(m) - 27*g(m). Factor c(k).
-3*(k - 1)**3
Let t(k) be the second derivative of k**4/20 - 19*k**3/30 - 7*k**2/5 + 68*k + 1. Solve t(c) = 0.
-2/3, 7
Let o(g) be the first derivative of g**6/75 - g**5/10 - 13*g**4/30 - 7*g**3/15 - 25*g + 14. Let r(a) be the first derivative of o(a). Factor r(h).
2*h*(h - 7)*(h + 1)**2/5
Let h be (-18)/24 + (-38)/(-8). Let 2*i**2 - h*i - 2*i**2 - 4*i**2 = 0. Calculate i.
-1, 0
Let k be (-81)/(-45) + (-2)/(-10). Suppose -40 = -14*h + 9*h. Factor 6*r**2 - 86*r**2 - h - 36*r**3 - 80*r**k - 28*r**3 - 68*r.
-4*(r + 2)*(4*r + 1)**2
Let f(j) be the first derivative of 0*j**3 - 1/3*j**2 - 1/15*j**5 + 1/6*j**4 - 2 + 1/3*j. Factor f(a).
-(a - 1)**3*(a + 1)/3
Let f be ((-83)/8)/(0 - (-8)/80). Let b = f + 104. Let -1/4*x**2 - b - 1/2*x = 0. What is x?
-1
Let s(x) = 3*x**3 - 20*x**2 + 32*x - 9. Let y(l) = l**2 + l. Suppose -31*o = -34*o + 6. Let a(t) = o*s(t) + 2*y(t). Let a(n) = 0. What is n?
1/3, 3
Let q be (-36)/(-10) + (2/(-60))/((-87)/1044). What is i in 10/3*i**4 - 2*i**3 - q - 18*i**2 - 50/3*i = 0?
-1, -2/5, 3
Let c(q) be the first derivative of -3*q**4/4 + 9*q**3 - 39*q**2 + 72*q + 313. Factor c(k).
-3*(k - 4)*(k - 3)*(k - 2)
Find o such that -5/6*o**2 + 0 + 0*o = 0.
0
Let x(c) = -c**2 + 57*c - 752. Let j be x(36). Find n such that -6/13*n**j - 4/13*n**2 + 14/13*n**3 + 0 + 0*n = 0.
0, 1/3, 2
Suppose -1331*p + 1523*p = 0. Factor 2/3*y**3 + 0*y**2 + 0 + p*y + 2/3*y**4.
2*y**3*(y + 1)/3
Let j be (-169)/(-65) + (-2)/(-5). Factor 2/3*q**2 - 1/6*q**j + 0 - 2/3*q.
-q*(q - 2)**2/6
Suppose 784*a = 780*a. Find v, given that 8/19*v**2 + 2/19*v + a = 0.
-1/4, 0
Let a(j) be the second derivative of -j**6/210 + j**4/42 - 8*j**2 - 5*j. Let k(m) be the first derivative of a(m). Solve k(o) = 0.
-1, 0, 1
Let c(o) be the first derivative of -7/6*o**3 - 7 + 1/2*o**2 + 0*o. Factor c(y).
-y*(7*y - 2)/2
Let b(n) = 58*n**3 - 112*n**2 + 211*n - 101. Let k(q) = 25*q**3 - 56*q**2 + 106*q - 51. Let p(s) = -3*b(s) + 7*k(s). Factor p(w).
(w - 54)*(w - 1)**2
Let h(u) be the third derivative of -u**8/336 + 2*u**7/35 - 3*u**6/8 + 5*u**5/6 - 23*u**2. Factor h(d).
-d**2*(d - 5)**2*(d - 2)
Let k(d) = -d**2 - 38*d + 3241. Let x be k(41). Determine o so that x*o**2 + 0 + 8/7*o**3 - 4/7*o = 0.
-2, 0, 1/4
Suppose 32/19*a - 2/19*a**2 + 34/19 = 0. Calculate a.
-1, 17
Let s(x) be the first derivative of -14 - 5/9*x**2 + 4/9*x - 2/9*x**3. Factor s(d).
-2*(d + 2)*(3*d - 1)/9
Let d = -2453/24 + 409/4. Let f(a) be the third derivative of 0*a + 1/120*a