**4/108 - x**3/18 + x**2/18 + 1439*x - 2. Factor k(d).
(d - 1)*(d + 1)**2*(4*d - 1)/9
Let s(p) = 9*p**2 + 276*p - 169. Let z(y) = 20*y**2 + 579*y - 338. Let q(o) = 9*s(o) - 4*z(o). Factor q(g).
(g - 1)*(g + 169)
Let h(f) be the third derivative of 0*f + 2 - 8*f**3 - 29/6*f**4 - 4/3*f**5 + 261*f**2 + 4/105*f**7 - 1/30*f**6. Factor h(k).
4*(k - 4)*(k + 1)**2*(2*k + 3)
Let j(z) be the third derivative of -z**10/226800 - z**9/45360 - z**8/30240 - 19*z**5/6 - 22*z**2 - 1. Let o(r) be the third derivative of j(r). Solve o(s) = 0.
-1, 0
Factor -2/3*v**2 - 30 - 28/3*v.
-2*(v + 5)*(v + 9)/3
Let x = -4/1745 - -1761/6980. Let f(s) be the first derivative of -5*s + 1/2*s**2 - x*s**4 - 16 + 5/3*s**3. What is c in f(c) = 0?
-1, 1, 5
Let d(a) be the first derivative of -2/5*a**5 + 153 + 0*a**2 + 3/2*a**4 + 8/3*a**3 + 0*a. Solve d(y) = 0 for y.
-1, 0, 4
What is u in 334/3 - 2/3*u**2 - 332/3*u = 0?
-167, 1
Factor 1008*l**2 + 0 - 2646*l + 1/2*l**4 - 87/2*l**3.
l*(l - 42)**2*(l - 3)/2
Let p(a) be the third derivative of a**7/105 + 61*a**6/60 + 37*a**5/10 - 409*a**4/12 + 236*a**3/3 + 2*a**2 - 24. Factor p(c).
2*(c - 1)**2*(c + 4)*(c + 59)
Solve -188/5*a**2 + 68/5*a + 8/5*a**4 + 28/5*a**3 + 84/5 = 0.
-7, -1/2, 1, 3
Let w(x) be the third derivative of x**8/336 + 4*x**7/105 + 11*x**6/120 - 2*x**5/15 - x**4/2 + 2*x**2 + 411*x. Suppose w(g) = 0. Calculate g.
-6, -2, -1, 0, 1
Let v(z) be the second derivative of -36*z + 1/40*z**6 - 11/3*z**3 + 1/3*z**4 - 19/60*z**5 + 0*z**2 + 0. Let n(c) be the second derivative of v(c). Factor n(p).
(p - 4)*(9*p - 2)
Let l(j) be the second derivative of -j**7/84 - j**6/10 - j**5/10 + 3*j**4/4 + 5*j**3/12 - 3*j**2 - 1102*j. What is a in l(a) = 0?
-4, -3, -1, 1
Factor -30 + 93/2*p + 21/2*p**2.
3*(p + 5)*(7*p - 4)/2
Determine g, given that 154511*g**2 + 640*g + 47*g - 585 - 3*g**3 - 154610*g**2 = 0.
-39, 1, 5
Let z be (-4)/22 + 558258/649. Let i = -6017/7 + z. Factor -i*t**2 + 24/7*t + 27/7.
-3*(t - 9)*(t + 1)/7
Let t(d) be the first derivative of 4/3*d**3 - d**4 + 38 + 12*d + 10*d**2. Factor t(c).
-4*(c - 3)*(c + 1)**2
Let r(q) = 10*q**2 + 6*q + 8. Suppose 0 = -8*d + 5 - 53. Let x(t) = 2*t**2. Let l(b) = d*x(b) + r(b). Solve l(o) = 0 for o.
-1, 4
Let r(k) = -k**3 - 16*k**2 + 14*k - 47. Let d be r(-17). Solve -4*l**4 + 8*l**2 - 4*l + 2*l**3 - d*l**5 + 6*l**3 - 32632 + 32628 = 0.
-1, 1
Let s = 2810298/7 + -401471. Find u such that -10/7*u**3 - 1 - 24/7*u**2 - 22/7*u - s*u**4 = 0.
-7, -1
Let c(z) = 5*z**2 - 75*z + 70. Let p(m) = -2*m**2 + 38*m - 36. Suppose 10*g + 98 - 48 = 0. Let x(b) = g*p(b) - 3*c(b). Solve x(l) = 0.
1, 6
Solve -2/11*i**4 - 6*i**3 - 46*i**2 - 1086/11*i - 644/11 = 0.
-23, -7, -2, -1
Let g(k) be the second derivative of -k**6/1440 - 7*k**5/480 + 47*k**3/2 + k + 89. Let f(x) be the second derivative of g(x). Let f(b) = 0. Calculate b.
-7, 0
Let d be (2/(-13))/((-1356)/35256). Factor -5/8*h**d - 9/8 - 35/8*h + 1/8*h**5 - 25/4*h**2 - 15/4*h**3.
(h - 9)*(h + 1)**4/8
Let n(r) be the second derivative of 1/54*r**4 - 1/3*r**2 + 2/27*r**3 - 6*r + 0. Let n(z) = 0. What is z?
-3, 1
Suppose -28/5*d**3 + 12/5*d**2 - 2/5*d**4 + 2/5*d**5 + 18*d + 54/5 = 0. What is d?
-3, -1, 3
Let t = 141607/21 - 6743. Let d(v) be the second derivative of 0 - 13*v + 1/14*v**4 + 1/70*v**5 - t*v**3 + 0*v**2. Suppose d(p) = 0. What is p?
-4, 0, 1
Let z(p) = 21*p - 87. Let m be z(4). Let f be (45/m)/(-5)*(-3)/(-36). Suppose -1/2 - 1/4*x**3 + 5/4*x**2 + f*x - 3/4*x**4 = 0. Calculate x.
-1, 2/3, 1
Let d be 17/(85/(-57)) - (-8 + (-5 - 2)). Determine f, given that -1296/5*f + d*f**2 + 2/5*f**4 + 2592/5 + 36/5*f**3 = 0.
-12, 3
Let a(j) be the first derivative of j**3/21 + 113*j**2/7 + 225*j/7 - 131. Factor a(g).
(g + 1)*(g + 225)/7
Suppose 0 = 3*z - 4*z + 2*o - 4, -2*z = o + 8. Let k be 10 + -6 + 3 - z/(-1). Factor 4*b**3 + b**5 + k*b**5 - 101*b**4 + 5*b**2 - 8*b + 113*b**4 - 17*b**2.
4*b*(b - 1)*(b + 1)**2*(b + 2)
Let h = 62804 - 62802. Factor -1/2*q**4 + 3/2*q**h + 5/2*q - 1/2*q**3 + 1.
-(q - 2)*(q + 1)**3/2
Let u = -59 + 59. Let q be ((-7)/(105/(-6)))/(1 + u). Determine p so that 7/5*p - 2/5 + q*p**4 - 8/5*p**2 - 1/5*p**5 + 2/5*p**3 = 0.
-2, 1
Solve 236/5*z + 1/5*z**4 + 153/5*z**2 + 116/5 + 34/5*z**3 = 0 for z.
-29, -2, -1
Factor -2032/7*b + 2/7*b**2 + 516128/7.
2*(b - 508)**2/7
Find a such that -23 + 1012*a**4 + 996*a**4 - 53 - 110*a + 260*a**3 - 6*a**5 - 1908*a**4 + 8*a**2 + 112*a**2 = 0.
-1, 2/3, 19
Let o(k) be the third derivative of k**5/15 - 85*k**4/6 - k**2 + 226*k - 3. Factor o(j).
4*j*(j - 85)
Factor -830/7*n - 412/7*n**2 - 416/7 + 2/7*n**3.
2*(n - 208)*(n + 1)**2/7
Let m = 1850245/1272051 + 1/115641. Let -18/11*k + m + 2/11*k**2 = 0. Calculate k.
1, 8
Let v be (1/(-9))/(3/(-6)). Suppose 1957*z + 184 = 2049*z. Solve -v*x - 1/9 - 1/9*x**z = 0.
-1
Let r = -1706 - -3413/2. Let y = 41 - 81/2. Let r*g**2 - 1/2*g**4 + 1/2*g + 0 - y*g**3 = 0. Calculate g.
-1, 0, 1
Let p(x) be the second derivative of x**5/10 + 10*x**4/3 - 59*x**3/3 - 330*x**2 + 4091*x. Find q, given that p(q) = 0.
-22, -3, 5
Let p = 409589 + -819177/2. Suppose 0 - 1/4*k - 1/4*k**3 - p*k**2 = 0. What is k?
-1, 0
Let q = 72713/13882 + -415/1262. Find i, given that 106/11*i - 2/11*i**3 - 50/11*i**2 - q = 0.
-27, 1
Let y(a) be the first derivative of 2/9*a**3 + 1/3*a**2 - 1/6*a**4 - 2/15*a**5 - 35 + 0*a. Let y(z) = 0. What is z?
-1, 0, 1
Let f be (18/(-27))/(1*(-2)/36). Factor -f - 56*v**2 + 30 + 50*v + 61*v**2 + 27.
5*(v + 1)*(v + 9)
Let p(q) be the first derivative of -q**6/900 - 14*q**5/75 - 196*q**4/15 - 2*q**3/3 + 10*q - 109. Let b(s) be the third derivative of p(s). Factor b(k).
-2*(k + 28)**2/5
Let r(l) be the second derivative of l**6/360 + 7*l**5/120 - l**4/3 - l**3/6 + 19*l**2/2 - 6*l + 11. Let q(b) be the second derivative of r(b). Factor q(v).
(v - 1)*(v + 8)
Let c(z) = 240*z**3 - 34820*z**2 + 42860*z - 8696. Let a(q) = -37*q**3 + 5357*q**2 - 6593*q + 1338. Let f(l) = -32*a(l) - 5*c(l). Factor f(o).
-4*(o - 166)*(o - 1)*(4*o - 1)
Let b(h) = -8*h**3 + 3*h**2 - 5*h - 6. Let f be b(-3). Let u = f + -250. Determine k so that 3/5*k**3 - 6/5*k**u - 3*k + 18/5 = 0.
-2, 1, 3
Let v(o) be the second derivative of -5*o**7/14 + 5*o**6/6 + 61*o**5/4 - 275*o**4/4 + 355*o**3/3 - 100*o**2 - 6*o + 3. Find z such that v(z) = 0.
-5, 2/3, 1, 4
Suppose 10455 + 2610 = 15*a. Find s such that 199 - 648*s**2 + 226*s**4 + 92*s**3 + 489*s - 999 - 230*s**4 + a*s = 0.
1, 2, 10
Suppose -64 = -4*h + 24. Suppose 3*y - h = -3*c - 7, -c = -2. Factor 0 + 6/17*t**y - 6/17*t**2 - 2/17*t**4 + 2/17*t.
-2*t*(t - 1)**3/17
Let m(j) be the third derivative of j**5/100 + 307*j**4/10 + 188498*j**3/5 - 2229*j**2. Determine h, given that m(h) = 0.
-614
Let w(o) be the first derivative of o**5/5 - o**4/2 - 11*o**3/3 + 6*o**2 + 36*o + 603. Factor w(c).
(c - 3)**2*(c + 2)**2
Suppose m + 515 = 135. Let h = m - -648. Find c such that -h*c**2 - 70*c - 257*c**2 - 140*c**4 + 695*c**3 + 2 + 38 = 0.
-2/7, 1/4, 1, 4
Solve -45*i**3 - 132*i**2 + 48*i + 16*i + 24*i**4 - 27*i**4 + 116*i = 0 for i.
-10, -6, 0, 1
Let q(w) = 4*w**3 - w**2 - 4*w + 1. Let k(o) = o**2 - 1. Suppose 12 - 2 = 2*t. Suppose -a + 2*u = -7, a = 4*a - u - 6. Let g(p) = a*q(p) + t*k(p). Factor g(x).
4*(x - 1)*(x + 1)**2
Let u(h) be the third derivative of h**7/630 + 2*h**6/45 - 4*h**5/15 - 16*h**4 + 449*h**2 - 2. Factor u(d).
d*(d - 8)*(d + 12)**2/3
Suppose 0 = 38*h - 61*h + 21*h. Let o(b) be the third derivative of -12*b**2 - 1/15*b**6 + 29/30*b**5 + 0*b - 8/3*b**3 + h + 25/12*b**4. Solve o(z) = 0.
-1, 1/4, 8
Let p = -41 + 44. Factor 131*v - 9 - 23*v - v**4 + 171 - v**4 - 12*v**p.
-2*(v - 3)*(v + 3)**3
Let f(o) = -8*o**2 + 16*o - 18. Let t(n) = -16*n + 27*n - 10*n - 1 - n**2. Let s(j) = -f(j) + 6*t(j). Let s(x) = 0. What is x?
2, 3
Let f(l) be the second derivative of 20/3*l**2 - 1/60*l**5 - 18 - 4*l - 22/9*l**3 + 7/18*l**4. Factor f(z).
-(z - 10)*(z - 2)**2/3
Let w = 974 - 40. Let v = w - 932. Solve 0 - 5/4*s + 1/4*s**v = 0 for s.
0, 5
Let f be 23/(460/80) + (0 - 0). Let s(v) be the first derivative of 3/4*v**3 + 3 + 3*v + 15/16*v**f - 9/2*v**2. Factor s(w).
3*(w - 1)*(w + 2)*(5*w - 2)/4
Let h(n) be the second derivative of -n**5/20 - 2897*n**4/12 - 698901*n**3/2 + 2099601*n**2/2 - 12270*n. Find g such that h(g) = 0.
-1449, 1
Let l(c) be the second derivative of 13*c