0*f**4/7 - 25*f**3/21 - 47*f**2 + 2. Let g(p) = 0. What is p?
5/96
What is n in 30*n + 24*n - 20 - 39 - 91 + 3*n**2 + 15*n = 0?
-25, 2
Let z(c) be the first derivative of 3*c**4/4 + 897*c**3 - 5391*c**2/2 + 2697*c - 12192. Factor z(a).
3*(a - 1)**2*(a + 899)
Let c(b) be the third derivative of 15*b**8/112 + 403*b**7/14 - 409*b**6/12 - 179*b**5/2 + 4045*b**4/24 - 225*b**3/2 - 3*b**2 + 68*b. Solve c(t) = 0.
-135, -1, 1/3, 1
Determine q so that -12/7*q**4 + 156/7*q**2 - 12/7 + 1/7*q + 131/7*q**3 = 0.
-1, -1/3, 1/4, 12
Let d = 4459/11160 - -1/2232. Let s be (8/28)/(3 + 48/(-21)). Factor -2/5*v + 2/5*v**4 - d*v**2 + s*v**3 + 0.
2*v*(v - 1)*(v + 1)**2/5
Let h be (-17 + 23)*(-6)/(-4). Let q be (12/10)/((-2)/(-5)). Let -3*o**2 + o - 12*o - o + 3*o**4 + h*o**q + 3*o = 0. What is o?
-3, -1, 0, 1
Let j be 495/756 + (2/(-1))/(((-21)/(-1))/(-1)). Factor -1/4*c**3 + 0 - j*c**2 + c.
-c*(c - 1)*(c + 4)/4
Let d = -51 + 45. Let b be (-3 - -4) + 3/d*-2. Suppose -204*q**4 + 55*q**4 - 216*q**3 - 27 - 103*q**4 - 18*q - 44*q**5 + 321*q**b - 4*q**5 = 0. Calculate q.
-3, -1/4, 1/2
Let h(t) be the second derivative of -14/3*t**2 - 1/18*t**4 + t**3 + 2 - 19*t. Factor h(w).
-2*(w - 7)*(w - 2)/3
Let d = 1501 - 1497. Let u(a) = 2*a**3 - 2*a**2 - 4. Suppose -2*z - z = -15. Let t(l) = -3*l**3 + 2*l**2 + 5. Let j(h) = d*t(h) + z*u(h). Factor j(v).
-2*v**2*(v + 1)
Let a(t) be the second derivative of -t**7/105 + 14*t**6/25 - 73*t**5/10 + 118*t**4/5 + 372*t**3/5 + 2550*t + 1. Find r such that a(r) = 0.
-1, 0, 6, 31
Let j be -1*(86 + (13 - 8)). Let n = 96 + j. Factor -10/3 - n*v - 5/3*v**2.
-5*(v + 1)*(v + 2)/3
Suppose 810 = 8*v - 13*v. Let j = v - -162. Factor j - 4/5*x**2 - 4/5*x - 1/5*x**3.
-x*(x + 2)**2/5
Let w be (30 + -4 - -1) + -3. Factor -8*p**4 + 20*p + 252*p**5 + w - 86*p**5 - 84*p**5 - 83*p**5 - 14*p**2 - 21*p**3.
-(p - 1)*(p + 2)**3*(p + 3)
Suppose -4*n - 852 = 4908. Let y be (2/(-2))/(630/n). Suppose -y*p**2 - 12/7*p**4 - 2/7*p + 0 - 26/7*p**3 = 0. Calculate p.
-1, -1/6, 0
Suppose 26 = 5*s + w, 2*s + 5*w - 3*w = 12. Suppose -3*z + 10 = 2*z. Factor s*n - 83*n**z + 82*n**2 - 2*n.
-n*(n - 3)
Suppose 743 + 229 = -9*w. Let a be (-4)/1 + w/(-11). Factor -4/11*h**4 - 2/11*h**5 - 32/11*h + 16/11*h**3 + 32/11*h**2 - a.
-2*(h - 2)**2*(h + 2)**3/11
Let k(d) = 369*d + 121. Let f be k(1). Let c be 196/f*(-90)/(-8). Factor -1/4*y**3 + c + 3/4*y - y**2.
-(y - 2)*(y + 3)**2/4
Let x = -18436 + 92192/5. Find i, given that -1/5*i**2 + x*i - 1/5*i**3 + 0 = 0.
-4, 0, 3
Let v = 3816961/9 - 424093. Factor 80/9 - v*o + 2/3*o**2.
2*(o - 20)*(3*o - 2)/9
Let m = 42 + -37. Suppose k + 2*k - 2*i - m = 0, -4*k = -4*i. Determine z, given that 3*z**5 - 4 - 5*z**3 + 2*z**k + 4 = 0.
-1, 0, 1
Let x(p) = 14*p**3 - 488*p**2 - 60983*p + 252009. Let k(z) = -3*z**3 - 2*z**2 - 2*z - 1. Let q(b) = -5*k(b) - x(b). Factor q(u).
(u - 4)*(u + 251)**2
Suppose 0 = 9*c - 8*c - 2*b - 528, -2649 = -5*c + b. Let w = 3722/7 - c. Determine x, given that 30/7*x**2 + w - 6*x = 0.
2/5, 1
Find a such that 50 - 1/6*a**2 - 55/6*a = 0.
-60, 5
What is n in 1770 - n**2 - 41*n + 2*n**2 - 1856 = 0?
-2, 43
Let -12/5*o**2 + 676/5*o**3 + 4/5*o**4 - 2036/5*o - 1352/5 = 0. Calculate o.
-169, -1, 2
Let c(n) be the second derivative of 7/78*n**4 + 1/195*n**6 + 3/65*n**5 - 8/13*n**2 - 2/13*n**3 + 0 + 22*n. Suppose c(z) = 0. Calculate z.
-4, -2, -1, 1
Suppose -t = -3*v + 10, -8*t = -4*t - 2*v. Let k(n) be the second derivative of 0*n**t - 1/6*n**4 + 17*n - 2/3*n**3 + 0. Determine j so that k(j) = 0.
-2, 0
Let r be 0 + 19*(-3 + 6). Let i = 60 - r. Solve -78*c**5 - 20*c**4 + 6*c**3 + 4*c**2 - 2*c**i + 90*c**5 = 0 for c.
-1/3, 0, 1
Factor -4*f**5 + 1322361*f**3 + 12*f**5 - 11*f**5 - 8492709*f**3 + 9276*f**4.
-3*f**3*(f - 1546)**2
Let g be (-12)/(-9*(-3)/36). Let u(d) = d**3 + 114*d**2 + 3*d - 3. Let y(f) = -4*f**3 - 572*f**2 - 16*f + 16. Let v(t) = g*u(t) - 3*y(t). Factor v(c).
-4*c**2*(c + 27)
Suppose -4 = -4*b + v, 0*v = 2*b + 3*v - 16. Suppose 8*n**b + 25896*n**3 + 6*n - 25893*n**3 + n**2 = 0. What is n?
-2, -1, 0
Determine a so that -1555840/9*a - 2/9*a**4 - 131416/3*a**2 - 1548800/9 - 1768/9*a**3 = 0.
-440, -2
Suppose -140*l + 111135 = 111135. Factor 2/5*g**4 + l*g**2 + 4/5*g**3 + 0 + 0*g.
2*g**3*(g + 2)/5
Suppose 36 = -10*h + 8*h. Let o(f) = 21*f**2 + 12*f - 15. Let k(q) = -q + 5 + 21*q**2 - 22*q**2 - 4. Let b(d) = h*k(d) - o(d). What is l in b(l) = 0?
1
Solve -43/4*h + 9/2 - 1/4*h**4 + 31/4*h**2 - 5/4*h**3 = 0.
-9, 1, 2
Let q(i) = i**2 - i + 1. Let k(a) = -a**2 + 7*a + 43 - 11 - 36. Let t(f) = k(f) + 4*q(f). Factor t(w).
3*w*(w + 1)
Let x = -1/530 - -2387/1060. Let c(v) be the first derivative of -x*v**4 - 23 - v**3 + 4*v + 4*v**2. Factor c(m).
-(m - 1)*(3*m + 2)**2
Let l(z) = 32*z**2 + 110*z + 344. Let v(s) be the second derivative of -s**4/2 - 11*s**3/3 - 34*s**2 + 212*s. Let u(y) = 2*l(y) + 11*v(y). Factor u(m).
-2*(m + 5)*(m + 6)
Let u(l) be the second derivative of 68*l + 0 - 5/3*l**4 + 0*l**2 - 1/5*l**5 - 4*l**3. Factor u(x).
-4*x*(x + 2)*(x + 3)
Suppose -121*c = -116*c - 40. Factor -v**2 - c*v**2 + 2*v - 10*v**2 - 7*v**2 + 24*v**2.
-2*v*(v - 1)
Let y(s) = 9*s**5 - 20*s**4 + 80*s**3 - 55*s**2 + 5*s + 11. Let r(v) = -v**5 - 3*v**4 - v**3 - 1. Suppose -34 = 7*q + 1. Let g(x) = q*r(x) - y(x). Factor g(k).
-(k - 6)*(k - 1)**3*(4*k + 1)
Let p = -649443 - -649446. Let 0*d**p - 7/2*d**2 + 3*d + 0 + 1/2*d**4 = 0. What is d?
-3, 0, 1, 2
Let q(s) be the third derivative of 1 - 1/20*s**4 + 4/15*s**3 + 0*s + 1/300*s**5 - 64*s**2. Solve q(c) = 0 for c.
2, 4
Let w(t) be the second derivative of 23*t**5/270 + 25*t**4/108 + 2*t**3/27 + 99*t**2/2 + 2*t - 2. Let v(g) be the first derivative of w(g). Factor v(a).
2*(a + 1)*(23*a + 2)/9
Let l be (4 - 5)*(3 + 0). Let h = l + 18. What is s in 2 - 3*s - h*s**4 - 5 + 18*s**2 + 471*s**5 - 6*s**3 - 462*s**5 = 0?
-1, -1/3, 1
Suppose -6*i - 28 = -13*i. Let n = -617 - -2469/4. Let -1/4*c**5 + 5/4*c**2 + 1/2*c - n*c**i + 0 + 3/4*c**3 = 0. What is c?
-1, 0, 2
Suppose 84*a = 405 - 69. Let f(b) be the second derivative of 0 - 7/5*b**2 - 9/5*b**3 + 9*b + 2/15*b**a. Factor f(r).
2*(r - 7)*(4*r + 1)/5
Let g(y) = y**3 + 45*y**2 + 5*y - 51. Let q(j) = -6*j**3 - 271*j**2 - 28*j + 305. Let i(r) = 34*g(r) + 6*q(r). Find w such that i(w) = 0.
-48, -1, 1
Let j = -7744/9 + 7894/9. Find l, given that j*l**2 + 16/3 - 68*l = 0.
2/25, 4
Factor 16/5*n**2 + 32/5 - 2/5*n**3 - 8*n.
-2*(n - 4)*(n - 2)**2/5
Let n be 4/18*((-275)/(-22) + -5). Determine h so that 1/3*h**3 - 3*h + h**2 + n = 0.
-5, 1
Let -471/5*c**2 + 933/5*c - 93 + 3/5*c**3 = 0. Calculate c.
1, 155
Let x be (-1)/33*9 - ((-422)/297 + 1). Let l(h) be the third derivative of 0 + 0*h + 4/27*h**4 + 6*h**2 + 1/180*h**6 + 13/270*h**5 + x*h**3. Factor l(b).
2*(b + 2)**2*(3*b + 1)/9
Let y(u) be the second derivative of u**5/70 + 67*u**4/42 + 22*u**3/7 + 1384*u. Factor y(j).
2*j*(j + 1)*(j + 66)/7
Let d(t) be the second derivative of t**6/69 - 16*t**5/115 - 28*t**4/23 + 384*t**3/23 - 432*t**2/23 + 10543*t. Let d(h) = 0. Calculate h.
-6, 2/5, 6
Solve 0 - 26/3*o**2 - 1/6*o**3 + 55/2*o = 0 for o.
-55, 0, 3
Let j(r) = r**3 + 53*r**2 + 108*r + 308. Let k be j(-51). Let 3 - 27/4*w**k - 6*w + 6*w**3 + 15/4*w**4 = 0. Calculate w.
-2, -1, 2/5, 1
Let h be 2 - (-14)/7*-1. Suppose 3*f + x - 6 = h, -3*f = -6*x + 3*x - 6. Determine b so that -2/3*b**f + 2/3*b**3 + 0 + 2/9*b - 2/9*b**4 = 0.
0, 1
Let b(n) be the first derivative of -7/16*n**4 + 1/4*n**3 - 109 + 0*n**2 + 0*n + 1/4*n**5 - 1/24*n**6. Factor b(t).
-t**2*(t - 3)*(t - 1)**2/4
Find h, given that -3/5*h**2 + 180*h - 13500 = 0.
150
Let k(p) be the third derivative of -p**5/140 + 39*p**4/28 - 225*p**3/14 - 2351*p**2. Solve k(g) = 0 for g.
3, 75
Let u(n) be the second derivative of -3*n**5/70 - 127*n**4/42 - 274*n**3/21 + 240*n**2/7 + 507*n. Solve u(r) = 0 for r.
-40, -3, 2/3
Let k(t) be the second derivative of t**5/100 - 4*t**4/3 + 2077*t**3/30 - 8649*t**2/5 + 8941*t. Determine x so that k(x) = 0.
18, 31
Suppose 0 = -195*z + 176*z + 418. Let d(h) be the first derivative of z + 1/9*h**3 + 8/3*h - h**2. Factor d(a).
(a - 4)*(a - 2)/3
Let q be (-26329)/(-1243) - 2*38/4. Determine s, given that 2*s - 2/11*s**3 + q - 4/11*s**2 = 0.
-4, -1, 3
Let w(x) be the first derivative of 13*x**6/54 + 11*x**5/45 - 45*x**4/4 + 49*x**3/27 + 196*x**