*j + 13/12*j**2 + 1/30*j**5 + 5/6*j**3 + 7/24*j**4. Find a such that t(a) = 0.
-4, -1
Let p(t) be the first derivative of -1/14*t**4 - 99/7*t**2 - 38/21*t**3 - 162/7*t + 80. What is n in p(n) = 0?
-9, -1
Factor -195*p - 766*p**2 + 771*p - 731*p**2 + 1413*p**2 + 3*p**3.
3*p*(p - 16)*(p - 12)
Factor -192*c**2 + 1081*c + 3792 + 355*c**2 + 863*c + 3*c**3 + 98*c**2.
3*(c + 4)**2*(c + 79)
Let d be (0 + (-11)/33)*(-4)/(-22). Let w = d + 76/165. Let 11/5*y - w - y**2 = 0. Calculate y.
1/5, 2
Let a(n) be the third derivative of -2/525*n**7 + 8*n**2 + 0*n**3 + 0 + 14/15*n**4 + 17/150*n**6 - 3*n - 44/75*n**5. Let a(o) = 0. What is o?
0, 1, 2, 14
Let h(l) be the third derivative of -l**9/181440 - l**8/30240 - 11*l**5/20 - 4*l**2. Let m(z) be the third derivative of h(z). Let m(f) = 0. What is f?
-2, 0
Let g(v) be the first derivative of v**6/480 - v**5/80 - v**4/96 + v**3/8 + 3*v**2/2 + 8*v - 204. Let u(c) be the second derivative of g(c). Factor u(m).
(m - 3)*(m - 1)*(m + 1)/4
Let j = 6720 + -4569599/680. Let c = j + 2717/2040. Determine g so that -4/3*g - c*g**2 + g**3 + 0 + 1/3*g**5 + 4/3*g**4 = 0.
-2, -1, 0, 1
Suppose -4*k + 54 = -5*d - 2*k, -20 = 3*d + 5*k. Let s be (-24)/d - (-6)/(-15). Suppose 114*x**s - 15*x - 51*x**2 - 53*x**2 + 5 = 0. Calculate x.
1/2, 1
Let l = 17 + -2. Factor -l*c**3 - 12*c**4 + 3*c**4 - 5*c**2 + 10*c + 5*c**5 + 11*c**4 + 3*c**4.
5*c*(c - 1)**2*(c + 1)*(c + 2)
Let d(s) be the first derivative of s**8/420 - 3*s**7/70 + 2*s**6/9 - 2*s**5/5 + 4*s**3/3 + 5*s**2 - 130. Let u(t) be the third derivative of d(t). Factor u(v).
4*v*(v - 6)*(v - 2)*(v - 1)
Let s(z) be the third derivative of -z**5/180 + 43*z**4/72 - 65*z**3/3 + 7181*z**2 - z. Suppose s(d) = 0. Calculate d.
13, 30
Let y = 2204/4475 - -67/8950. Determine i so that -5/2*i**2 + 0*i**3 + 2 + 0*i + y*i**4 = 0.
-2, -1, 1, 2
Let v be 2*(4/8 + (-4)/8 + 2). Let g(h) be the second derivative of -h**3 - 12*h + 9/2*h**2 + 0 - 1/4*h**v. Find d such that g(d) = 0.
-3, 1
Let j(d) be the second derivative of -d**8/11200 + d**7/2100 + d**6/1200 - d**5/100 - d**4/6 - 50*d. Let y(x) be the third derivative of j(x). Solve y(u) = 0.
-1, 1, 2
Let -19/6*q**2 - 11/3*q + 4 - 1/2*q**3 = 0. Calculate q.
-4, -3, 2/3
Let k = -19 + 28. Let m be (k + 574/(-70))*10/14. Factor 2*p**2 + 3/7*p**4 - 8/7 - m*p + 13/7*p**3.
(p + 1)*(p + 2)**2*(3*p - 2)/7
Determine d, given that -5291*d - 4191*d**4 + 1531*d - 117*d**5 + 33732*d**2 + 658 - 15422*d**3 - 3592*d - 2674 - 8984*d**3 = 0.
-28, -9, -2/13, 2/3
Factor -13*a + 1/2*a**2 + 165/2.
(a - 15)*(a - 11)/2
Let w = 260864 - 260861. Factor -13824/7 + 4/7*p**4 + 136/7*p**w + 3456/7*p + 1440/7*p**2.
4*(p - 2)*(p + 12)**3/7
Let x(a) be the third derivative of 1/30*a**5 - 67*a**2 + 0 + 0*a + 9/4*a**4 - 28/3*a**3. Factor x(d).
2*(d - 1)*(d + 28)
Let p be (-60)/8*(-8)/20. Let j(c) be the first derivative of -9/2*c**2 - 5 + 0*c - c**p. Factor j(x).
-3*x*(x + 3)
Factor 19*x**3 + 147*x**2 - 132890*x + 133118*x - 4*x**3 + 96.
3*(x + 1)*(x + 8)*(5*x + 4)
Let y be 57/6 - (-1)/(-2)*-1. Suppose 21*l - 23*l = -y. Suppose -3/2*h**4 - 3/2*h**l + 3/2*h**3 + 0*h + 3/2*h**2 + 0 = 0. Calculate h.
-1, 0, 1
Let b(n) be the third derivative of -3/13*n**3 + 0*n + 5/26*n**4 - 11 - 5/78*n**5 + 2*n**2. Factor b(p).
-2*(5*p - 3)**2/13
Let u(y) = 2*y**2 + 9*y - 14. Let q be u(-7). Suppose -594 + 606 - 25*a**3 + 24*a - a**2 - 14*a**3 - 32*a**2 + q*a**4 + 15*a**5 = 0. Calculate a.
-2, -1, -2/5, 1
Let u = -16719 - -1253929/75. Let k(m) be the third derivative of 0*m - 1/15*m**4 + 0 - u*m**5 - 1/30*m**3 + 16*m**2. Find d such that k(d) = 0.
-1/4
Let d(q) be the second derivative of -q**7/504 - q**6/6 - 6*q**5 + 29*q**4/3 - 16*q - 1. Let m(g) be the third derivative of d(g). Let m(c) = 0. Calculate c.
-12
Let x = -411 - -423. Let g be x/9*(10/(-4))/(-5). Factor -g*k**2 - 2/3*k + 4/3.
-2*(k - 1)*(k + 2)/3
What is l in -94/7*l**2 + 2/7*l**3 + 0 + 1100/7*l = 0?
0, 22, 25
Let r(f) = 264*f. Let p be r(1). Let s be p/143 + (-4)/(-26). Factor -21*x**s + 37*x**2 - 5*x**3 - 5*x - 26*x**2.
-5*x*(x + 1)**2
Let p be (-4)/(-82) + (-34)/697. Let h(v) be the first derivative of -9/2*v**4 - v**2 - 4 + 4*v**3 + 8/5*v**5 + p*v. Factor h(x).
2*x*(x - 1)**2*(4*x - 1)
Let b(f) be the second derivative of 4/9*f**3 - 175*f - 7/30*f**5 + 0 - 2/3*f**4 + 0*f**2. Factor b(s).
-2*s*(s + 2)*(7*s - 2)/3
Let z be (-2061)/(-21) - (-1 + 32/28). Suppose -4*w - 3*w + z = 0. Factor w*k**2 - 8 - 7*k + 5*k + 6*k**2 - 10*k.
4*(k - 1)*(5*k + 2)
Factor -387*f**2 + 740*f + 50 + 202 - 35*f**3 + 27*f**2 - 12.
-5*(f - 2)*(f + 12)*(7*f + 2)
Find y such that 7/4*y**3 - 344*y - 55/2*y**2 - 96 = 0.
-8, -2/7, 24
Factor -4 + 46*c - 10*c + 59*c + 1999*c**2 - 2074*c**2 - 16*c.
-(c - 1)*(75*c - 4)
Suppose 0 = -6*c + 2*c - 3*d + 674, c = -2*d + 171. Let u = c + -165. What is s in 1/7*s**u + 4/7 - 4/7*s = 0?
2
Factor -3/8*m**2 + 75/8*m - 9.
-3*(m - 24)*(m - 1)/8
Let j(r) = 13*r - 335. Let h(f) = -5*f - 44. Let p be h(-14). Let q be j(p). Let 32 - 1/2*w**q - 24*w + 6*w**2 = 0. Calculate w.
4
Let u be 32/(-10)*(-15)/7. Let i = 367946 - 2575614/7. Factor -18/7*h**3 + i - u*h + 58/7*h**2.
-2*(h - 2)*(h - 1)*(9*h - 2)/7
Let h(k) be the first derivative of -14/9*k**4 + 16/9*k**2 + 56/27*k**3 + 0*k + 2/9*k**5 + 20. Determine s, given that h(s) = 0.
-2/5, 0, 2, 4
Let h(z) be the third derivative of 0 - 2/3*z**5 - 2/3*z**6 + 102*z**2 + 35/24*z**4 + 0*z - 5/6*z**3. Factor h(u).
-5*(u + 1)*(4*u - 1)**2
Let y(s) be the first derivative of -4/3*s**3 + 0*s**2 - 29 + 0*s. Determine x, given that y(x) = 0.
0
Factor -1/2*f**3 - 75/2*f**2 - 1767/2*f - 12493/2.
-(f + 13)*(f + 31)**2/2
Let p(b) = -2*b. Let n be p(-5). Suppose -5*u + u - 4*h = -8, -5*u + n = -2*h. Determine m so that 14*m - 6*m**2 - 12 - m**u + m + 4*m**2 = 0.
1, 4
Let n(y) be the third derivative of 0*y - 10*y**3 + 0 - 142*y**2 - 1/20*y**5 + 9/8*y**4. Factor n(m).
-3*(m - 5)*(m - 4)
Let b(k) = k**3 + 10*k**2 + 17*k + 18. Let x be b(-8). Factor 2*d**2 - 4*d**2 + x*d**2 - 6*d**2 + 26*d.
2*d*(d + 13)
Factor 92/9 + 2/9*t**2 + 94/9*t.
2*(t + 1)*(t + 46)/9
Let g(p) be the first derivative of 9*p**5/20 - 39*p**4/8 - 18*p**3 - 81*p**2/4 - 33*p/4 + 2422. Find z such that g(z) = 0.
-1, -1/3, 11
Let -1/3*a**2 - 263/3 - 88*a = 0. Calculate a.
-263, -1
Factor -70/3*g + 0 + 1/3*g**3 + g**2.
g*(g - 7)*(g + 10)/3
Let b(m) = -6*m**2 - 19*m + 17. Let o be b(-10). Let w = o + 396. Factor -1/4*h**2 + 1/8*h + 0 + 1/8*h**w.
h*(h - 1)**2/8
Factor -28*z + 5*z**4 + 0 - 67/2*z**3 + 61*z**2.
z*(z - 4)*(z - 2)*(10*z - 7)/2
Determine d so that -2/13*d**2 - 134*d + 0 = 0.
-871, 0
Suppose -3*z = -6*z + 12. Suppose -3*m + 6*t - z*t = -16, -5*m - 4*t = 10. Factor -4*f**3 - 2*f**2 + 13*f**4 - f**3 + m*f**3 - 11*f**4.
f**2*(f - 2)*(2*f + 1)
Let m(y) = 3*y**3 + 488*y**2 + 24346*y + 421824. Let x(v) = -3*v**3 - 486*v**2 - 24345*v - 421824. Let h(f) = -9*m(f) - 10*x(f). What is c in h(c) = 0?
-52
Let j(w) be the second derivative of w**7/189 + w**6/135 - 11*w**5/30 - 133*w**4/54 - 184*w**3/27 - 28*w**2/3 + 2*w + 756. Determine b, given that j(b) = 0.
-3, -2, -1, 7
Suppose -365*w**2 - 5*w + 223*w + 930*w - 98*w + 5*w**3 = 0. What is w?
0, 3, 70
Let y be 45/3*(660/(-45) + 15). Let c(s) be the second derivative of 0*s**2 - 2/21*s**4 + 0 + 1/35*s**y + 0*s**3 + 16*s. Determine w, given that c(w) = 0.
0, 2
Let u = 3/40861 - -122571/163444. Solve -87*b - u*b**2 - 2523 = 0 for b.
-58
Let c(o) = 8*o**4 + 6*o**3 - 18*o**2 - 5*o. Let b(j) = j**2 - j**4 - 29 + j + 29. Let g = 61 + -59. Let x(l) = g*c(l) + 18*b(l). Find w such that x(w) = 0.
0, 1, 4
Let h = -58 - -63. Suppose 2*a**h - 18*a**2 + 18*a**3 - 24*a**3 + 14*a**2 = 0. Calculate a.
-1, 0, 2
Suppose 2/9*k**3 + 358/9*k**2 - 1832/9*k + 1472/9 = 0. Calculate k.
-184, 1, 4
Let g(b) be the third derivative of -2/345*b**5 + 1/2415*b**7 - 1/460*b**6 + 0*b**4 + 0*b - 61*b**2 + 0 + 0*b**3. Let g(x) = 0. Calculate x.
-1, 0, 4
Let y be (4 - 3) + -3 + -2 + 3. Let n be (56/3)/7 + y/(-3). Factor 0*p - 5*p**2 + 13*p - n*p + 0*p - 5.
-5*(p - 1)**2
Let k(f) = -10*f**2 + 4*f - 14. Let b = -53 - -56. Suppose 4*v + 3*l = 103, v - 16 = -5*l - b. Let w(h) = 1. Let m(u) = v*w(u) + 2*k(u). Factor m(x).
-4*x*(5*x - 2)
Let f(z) be the first derivative of z**4/26 + 2*z**3/39 - 5*z**2/13 + 6*z/13 - 205. Find w such that f(