3*f**2 + 11*f + 0 + 0*f**5 + 0*f**3. Factor u(x).
2*(x - 1)**2*(x + 1)**2/3
Let k(y) be the second derivative of -y**7/42 - 17*y**6/30 - 39*y**5/20 + 53*y**4/12 + 80*y**3/3 + 42*y**2 - 415*y. Let k(d) = 0. Calculate d.
-14, -3, -1, 2
Let a(w) be the third derivative of -w + 0 + 9*w**4 + 1/15*w**5 + 486*w**3 + 82*w**2. Factor a(c).
4*(c + 27)**2
Let z = 1294232 - 1294229. Solve h**2 + 4/3*h**z - 14/3*h + 8/3 - 1/3*h**4 = 0.
-2, 1, 4
Let r(a) = 472*a**3 + 4*a**2. Let d be r(-1). Let w = 471 + d. Find y such that -1/2*y**2 + 1/4*y**w + 0 + 1/4*y = 0.
0, 1
Let s(o) = 60*o**2 + 1725*o + 1651. Let r(j) = 20*j**2 + 575*j + 558. Let n(p) = -17*r(p) + 6*s(p). Suppose n(c) = 0. Calculate c.
-28, -3/4
Let t(y) be the second derivative of -y**4/32 + 3403*y**3/8 - 34741227*y**2/16 - 1650*y. Factor t(r).
-3*(r - 3403)**2/8
Let z(k) be the second derivative of 2*k**7/147 - 22*k**6/105 - 3*k**5/7 + 31*k**4/21 + 116*k**3/21 + 48*k**2/7 + k + 243. Find y such that z(y) = 0.
-1, 2, 12
Let o = 726 - 725. Let w be o + -5 - 11/(-2). Solve 0*f + 3*f**2 + 0 - w*f**4 - 3/2*f**3 = 0.
-2, 0, 1
Factor 33/7*i**3 + 72/7 + 6*i**2 - 21*i.
3*(i - 1)*(i + 3)*(11*i - 8)/7
Suppose -16*k - 40 = -3*i - 12*k, 20 = -5*k. Suppose i*j - 26 + 10 = 0. What is w in j + 2/3*w**2 + 8/3*w = 0?
-3, -1
Let g(t) = 34*t - 10. Let n be g(1). Factor -16*f**2 + 20*f + 8*f**2 - 47*f**3 + 21*f**3 + n + 22*f**3.
-4*(f - 2)*(f + 1)*(f + 3)
Let f(p) be the third derivative of p**7/1260 - 49*p**6/720 + 16*p**5/15 - 245*p**4/36 + 200*p**3/9 - p**2 - p - 2372. Factor f(x).
(x - 40)*(x - 5)*(x - 2)**2/6
Let n(j) be the second derivative of j**6/195 - 21*j**5/130 + 12*j**4/13 - 68*j**3/39 + 1465*j. Let n(y) = 0. What is y?
0, 2, 17
Suppose 2*j - 3*w + 6 = -7*w, -5*w - 15 = j. Factor 2*r + 17*r + j*r**3 + 13*r - 23*r**2 - 7*r**2 + 8*r.
5*r*(r - 4)*(r - 2)
Let n = -666 - -639. Let g be (-14)/(-49) - n/(-168). Factor 0 + g*s + 3/8*s**3 + 1/2*s**2.
s*(s + 1)*(3*s + 1)/8
Factor 2/3*q**2 + 176/3 - 92/3*q.
2*(q - 44)*(q - 2)/3
Suppose -66*z + 115*z = 60*z. Suppose -h - 53*s + 58*s = 6, z = -2*h + 4*s. Solve -4/3*v**3 + h - 32/3*v**2 + 2*v**5 + 20/3*v**4 - 2/3*v = 0.
-3, -1, 2/3, 1
Let r be (-6 - (-846)/156)/((-17)/(-94)). Let g = r - -43/13. Factor 0 + 0*u + 6/17*u**5 - g*u**3 - 4/17*u**4 + 0*u**2.
2*u**3*(u - 1)*(3*u + 1)/17
Factor 500/3*a**2 + 125000/3*a + 2/9*a**3 + 31250000/9.
2*(a + 250)**3/9
Let f(p) be the first derivative of -p**6/120 + p**5/20 + 10*p**3 + 113. Let b(d) be the third derivative of f(d). What is r in b(r) = 0?
0, 2
Let n be 2040/108 - 7 - 5*1. Let x = -32/9 + n. Determine h so that 5*h**2 - 5/3*h**4 - 20/3*h - 20/3 + x*h**3 = 0.
-1, 2
Let t be 4/3*3 - (-5845)/(-1503) - (-2)/36. Factor 2/3*u**4 - 5/6*u**3 + 0*u**2 + t*u**5 + 0*u + 0.
u**3*(u - 1)*(u + 5)/6
Factor 780/7*u - 3/7*u**2 - 111.
-3*(u - 259)*(u - 1)/7
Let o(k) be the second derivative of -2*k**7/7 - 32*k**6/15 - 18*k**5/5 + 16*k**4/3 + 14*k**3 + 5*k + 711. Let o(c) = 0. What is c?
-3, -7/3, -1, 0, 1
Let l(x) be the third derivative of 0 + 2/45*x**6 + 32/9*x**4 + 8/15*x**5 + 0*x + 1/630*x**7 - 5*x**2 + 128/9*x**3. Factor l(u).
(u + 4)**4/3
Let q(u) be the third derivative of u**5/12 + 215*u**4/6 + 285*u**3/2 - 1352*u**2. Factor q(b).
5*(b + 1)*(b + 171)
Suppose -56*j + 63*j = 21. Find z such that -27*z**3 - 21*z**3 + 43*z**j - 8*z**3 - 44*z**3 + 6*z**2 = 0.
0, 2/19
Let c be ((-13932)/14706)/(3 - (-516)/(-152)). Let -4/5*p**3 + 0 + 2*p**2 + c*p - 2/5*p**4 = 0. Calculate p.
-3, -1, 0, 2
Let i(d) be the first derivative of -8*d + d**2 - 1/12*d**4 + 2 + 1/6*d**3. Let k(t) be the first derivative of i(t). Factor k(f).
-(f - 2)*(f + 1)
Let q = -37295/14 + 2664. Let p(h) be the first derivative of 0*h + q*h**4 + 9 + 0*h**2 - 2/7*h**3. Factor p(z).
2*z**2*(z - 3)/7
Let j be (-276)/28 - (-53780)/1820. Solve 36/13*q**2 + 2/13*q**3 + 192/13*q + j = 0 for q.
-8, -2
Suppose 0 = -5*g - 4*w + 105 - 5, 0 = 5*w - 25. Let y be (4 + 0)/(-24)*-6*g. Suppose y*s - 6*s**5 - 2*s**5 + 4*s**4 - 16*s = 0. What is s?
0, 1/2
Let q(t) be the third derivative of 17*t**2 - 7/12*t**4 + 0*t - 1/120*t**5 + 0 + 0*t**3. Solve q(k) = 0.
-28, 0
Let m = -153 + 162. Let w be (0/(-1))/(((-27)/3)/m). Determine a so that 2/3*a**2 + 1/3*a**3 + 1/3*a + w = 0.
-1, 0
Suppose -55/4*d**4 - 25/4*d + 35/2*d**2 - 15/4 + 15/4*d**5 + 5/2*d**3 = 0. What is d?
-1, -1/3, 1, 3
Let n be (-188)/(-12) + (-2)/(4 - 10). Let d be 1*4*3/n. Factor 1/2*i + 0 + d*i**3 + 9/4*i**2 - i**4.
-i*(i - 2)*(i + 1)*(4*i + 1)/4
Let q = 311/25800 + -4/1075. Let o(t) be the second derivative of 1/80*t**5 + 0*t**2 - 5/48*t**4 - 21*t + q*t**6 + 0 + 1/8*t**3. Suppose o(z) = 0. Calculate z.
-3, 0, 1
Let r(n) be the first derivative of -n**5/170 + 5*n**4/51 - 4*n**3/17 - 72*n**2/17 + 38*n + 48. Let q(p) be the first derivative of r(p). Factor q(u).
-2*(u - 6)**2*(u + 2)/17
Let o(y) be the third derivative of -y**6/120 - y**5/6 + 37*y**4/24 - 4*y**3 + 72*y**2. Let v be o(-13). Factor -1/2*z + 1/4*z**v + 0.
z*(z - 2)/4
Let c(v) = -v**3 - 2*v**2 - v - 24. Let d be c(-4). Let w be (-8)/(-12)*1*(3 + d). Factor -15/2*g - w + 5/2*g**2.
5*(g - 4)*(g + 1)/2
Let k = 392 - 382. Suppose 11*p - 21 + k = 0. Factor -p - 4/3*u - 1/3*u**2.
-(u + 1)*(u + 3)/3
Determine m, given that 10*m**5 - 60*m**3 - 17*m + 225*m - 15*m**4 + 32*m - 5*m**5 + 100*m**2 = 0.
-2, 0, 3, 4
Let g = 521417/155 - 3364. Let b = g + 13/31. Find j, given that -b + 3/5*j - 1/5*j**2 = 0.
1, 2
Suppose -90*o = -94 - 81 - 5. Solve 2/3*y**3 + 0 + 1/3*y**4 + 1/3*y**o + 0*y = 0.
-1, 0
Let c(i) = -4*i**3 - 36*i**2 - 12*i + 2. Let h(a) = -34*a**2 - 12*a + 3. Let o(p) = -3*c(p) + 2*h(p). Factor o(f).
4*f*(f + 3)*(3*f + 1)
Let f be (22/20)/((-5918)/(-2690)). Factor 0 + 2*y**2 - y**4 + 2*y + f*y**5 - 3/2*y**3.
y*(y - 2)**2*(y + 1)**2/2
Let l be (((-1)/(-24))/((-30)/(-20)))/((-6)/(-45)). Let c(j) be the third derivative of 0*j + l*j**4 - 1/240*j**5 - 25/6*j**3 + 0 - 26*j**2. Factor c(b).
-(b - 10)**2/4
Let c(h) be the third derivative of -h**5/30 + 37*h**4/4 + 114*h**3 - 557*h**2. Factor c(t).
-2*(t - 114)*(t + 3)
Find t, given that -972 + 2759*t**2 - 686*t**2 - 691*t**2 - 691*t**2 + 231*t - 688*t**2 = 0.
-81, 4
Determine q, given that -14*q**4 - 8*q**4 - 48*q**3 + 30536*q**5 + 72*q**2 - 30538*q**5 = 0.
-6, 0, 1
Factor 2/5*z**3 - 8064/5 + 1632/5*z - 104/5*z**2.
2*(z - 28)*(z - 12)**2/5
Suppose -2*f + 4*z = -z + 12, 2*z = 2*f. Suppose 12 = 3*q - 4*r, 12 = -38*q + 39*q - 4*r. What is g in -2/11*g**2 + q - 7/11*g**3 - 5/11*g**f + 0*g = 0?
-1, -2/5, 0
Let w(z) be the first derivative of -z**3/4 + 603*z**2/4 - 121203*z/4 - 1447. Factor w(m).
-3*(m - 201)**2/4
Let j(o) be the third derivative of -o**8/2184 + 22*o**7/1365 + 4*o**6/65 + o**5/195 - 47*o**4/156 - 8*o**3/13 + 18*o**2. Let j(h) = 0. Calculate h.
-1, 1, 24
Suppose 308 - 132 = -11*h. Let o be (43/(-172))/(1/h). Factor 4/3*b**5 + 0 - 8/3*b**2 + 0*b**3 - 4/3*b + 8/3*b**o.
4*b*(b - 1)*(b + 1)**3/3
Find s, given that 8322*s**2 + 10983*s**2 - 337076636 + 6398433240 + 4597377911 + 24845535*s + 5*s**3 = 0.
-1287
Let r(h) be the second derivative of -h**7/294 - h**6/42 + h**5/70 + h**4/3 + 4*h**3/21 - 16*h**2/7 + 1798*h + 1. Solve r(c) = 0 for c.
-4, -2, 1, 2
Let r(u) = u**2 + 13*u + 32. Let n be r(-10). Determine p, given that -2*p**5 + 7*p**n - p**2 + 3*p**5 - 7*p**3 = 0.
-3, 0, 1, 2
Let g(u) be the second derivative of u**4/12 + 728*u**3/3 + 264992*u**2 + 56*u - 2. Solve g(r) = 0.
-728
Let w(z) = 58*z - 3. Let q be w(1). Let t = -30 + q. Factor -i**3 + t*i - i + 15*i**2 + 3*i**3 + i**3 + 12.
3*(i + 1)*(i + 2)**2
Suppose 0 = f + 4, p + f - 3 = -4. Let j(t) = -5*t - 13. Let x be j(-3). Suppose -8*k**4 + 8 + 4*k**4 - 20*k + 0 + 0*k**4 + 4*k**p + 12*k**x = 0. What is k?
-2, 1
Solve -2693*k + 2540*k + k**2 + 324 + 126 = 0 for k.
3, 150
Suppose -2157*p + 2164*p = 28. Suppose p*j = d - 23, -4*d - 3*j + 4*j + 17 = 0. Suppose -6/7*l**2 + 2/7*l**d + 0 - 8/7*l = 0. Calculate l.
-1, 0, 4
Let c(i) = 21*i**2 - 90*i - 18. Suppose 11*p = 10*p - t, 4*t + 6 = -p. Let x(b) = 5*b**2 - 23*b - 4. Let k(y) = p*c(y) - 9*x(y). Solve k(g) = 0 for g.
0, 9
Suppose -3*b - 5*g = -24, -5*b - 4*g + 16 = -3*b. Suppose -22*v + 24*v + b = 0, -5*r + 14 = -v. Factor p**4 + r*p**2 + 0 + 2/3*p + 1/6*p**5 + 13/6*p**3.
p*(p + 1)**2*(p + 2)**2/6
Solve -104/11*f - 8/