6*r**2 - 687*r - 27. Let u(p) = -9*p**4 + 146*p**3 + 61*p**2 - 98*p - 4. Let c(v) = -4*t(v) + 27*u(v). Factor c(i).
3*i*(i - 17)*(i + 1)*(3*i - 2)
Let a = 127/148 - 4/37. Let r(m) be the first derivative of -a*m**2 + 3/8*m**4 + 1/2*m**3 - 2 - 3/2*m. Solve r(y) = 0.
-1, 1
Let i = -54 - -54. Suppose -12*l**5 - 3*l**3 - 17*l**4 + 0*l**3 + i*l**4 + 2*l**4 = 0. Calculate l.
-1, -1/4, 0
Let h = -89939/10 + 8994. What is l in -1/5*l - h*l**2 + 0 = 0?
-2, 0
Let w(u) = -3*u**4 - 2*u**3 - 8*u**2 + 88*u. Let l(a) = a**4 + 3*a**2 - 29*a. Let c(t) = -8*l(t) - 3*w(t). Factor c(q).
q*(q - 2)*(q + 4)**2
Let o(l) = -l + 26. Let c be o(9). Suppose c = 10*x - 3. Factor 0*b**x - 2/7*b**5 + 0*b**4 + 4/7*b**3 + 0 - 2/7*b.
-2*b*(b - 1)**2*(b + 1)**2/7
Let g = 56 + -503/9. Let o(w) be the third derivative of 0*w**3 + 0 + 1/180*w**6 - 2/45*w**5 + 0*w + g*w**4 + 3*w**2. Let o(r) = 0. Calculate r.
0, 2
Factor -2*x**3 - 3*x**2 - 14*x**2 - 3*x**2 + 47*x - 98 - 10*x**2 - 173*x.
-2*(x + 1)*(x + 7)**2
Let v(f) be the second derivative of f**7/105 - 7*f**6/180 + f**4/9 + 8*f**2 - 31*f. Let b(c) be the first derivative of v(c). Solve b(k) = 0.
-2/3, 0, 1, 2
Let n be 21/2*(-108)/(-189). Let i(o) be the third derivative of 1/240*o**n - o**2 + 0*o + 0 + 1/16*o**4 + 1/40*o**5 + 1/12*o**3. Factor i(z).
(z + 1)**3/2
Find b such that -1649 - 1650 + 3299 - 5*b - 5*b**2 = 0.
-1, 0
Let t(r) be the third derivative of r**5/105 - r**4/7 - 110*r**3/21 - 803*r**2. Factor t(d).
4*(d - 11)*(d + 5)/7
Suppose 0 = 2*j - 8*j. Let k be (-68)/(-12) + -3 + 4/(-6). Suppose j*r - 8/3*r**3 + 1/3 - r**4 - 2*r**k = 0. What is r?
-1, 1/3
Suppose 0 = 16*s - 44 - 4. Determine w so that 0*w + 2/3*w**s + 2/3*w**2 + 0 = 0.
-1, 0
Let b(k) be the first derivative of 0*k + 0*k**4 - 4*k**3 + 1/630*k**6 + 0*k**5 + 0*k**2 - 2. Let l(c) be the third derivative of b(c). Factor l(j).
4*j**2/7
Let x be 3/5*(-135)/(-36). Let q be (-2)/(-6) - 20/(-12). Factor -3/4 - x*j - 9/4*j**q - 3/4*j**3.
-3*(j + 1)**3/4
Let t(m) be the third derivative of -m**7/1470 + m**6/280 + m**5/420 - m**4/56 + 6*m**2 + 72*m. Find j, given that t(j) = 0.
-1, 0, 1, 3
Suppose 0 = -2*a, 2*a - 3156 = -4*h + h. Suppose m = 2*v - h, m + 0 + 2 = 0. Determine o so that 16*o - 9*o - 234*o**3 - v*o**5 - 60*o**2 + 17*o + 795*o**4 = 0.
-2/7, 0, 2/5, 1
Let u(n) = -3*n - 17. Let v be u(-11). Suppose -20*l + v*l + 8 = 0. Let -4/7*r**3 + 4/7*r + 2/7*r**l - 2/7 = 0. Calculate r.
-1, 1/2, 1
Let z(s) be the third derivative of 841*s**6/200 + 783*s**5/100 - 57*s**4/40 + s**3/10 + 63*s**2 + s. Factor z(o).
3*(o + 1)*(29*o - 1)**2/5
Let h(r) be the first derivative of -1/33*r**3 + 2/11*r + 1/22*r**2 + 17. Factor h(i).
-(i - 2)*(i + 1)/11
Find s, given that 320/3*s + 106/3 + 2/3*s**4 + 108*s**2 + 112/3*s**3 = 0.
-53, -1
Let g be 4 - (15/(-75) + (-68)/80*-4). Factor 2/5 - g*x - 2/5*x**2 + 4/5*x**3.
2*(x - 1)*(x + 1)*(2*x - 1)/5
Factor 3*q**2 + 955*q - q**2 + 512 - 1019*q.
2*(q - 16)**2
Suppose 10*z = -22*z - 7 + 103. Let 2*m**z + 32*m + 1/8*m**4 + 12*m**2 + 32 = 0. What is m?
-4
Let i be (-43953)/(-3588)*(-2)/(28/(-6)). Suppose i*b**2 + 5/4*b**4 + 19/4*b**3 + 5/4*b - 1/2 = 0. What is b?
-2, -1, 1/5
Let s(d) be the second derivative of 13*d + 0 - 1/150*d**5 - 72/5*d**2 - 1/5*d**4 - 12/5*d**3. Factor s(t).
-2*(t + 6)**3/15
Let n(o) = 8*o**5 - 3 + 6*o**4 - 8*o**5 + 19*o**3 + 11*o**2 + 9*o + 6*o**5. Let h(f) = f**5 + f**3 - f**2 - 1. Let p(l) = -20*h(l) + 4*n(l). Factor p(k).
4*(k + 1)**4*(k + 2)
Let c(j) = -2*j - 5*j + 5*j + 7 + j. Let q be c(5). Find t, given that 81*t**4 - 12 + 11*t - 162*t**3 - 16*t**q + 97*t**2 + t = 0.
-1/3, 2/3, 1
Let d = -34 - -31. Let l be (1 - -1)*d/9*-3. Factor 1/3*t**l - 1/3*t + 0.
t*(t - 1)/3
Suppose 36 = 8*h + 12. Suppose -5*j + 39 = -36. Find z, given that -36*z**2 + 15*z**3 - 7*z + 33*z**h + j*z - 4*z**4 - 16*z**4 = 0.
0, 2/5, 1
Let f(j) = -5*j**3 + 8*j**2 + 20*j + 6. Let k be f(3). What is y in 2*y - 8/3*y**2 + 2/3*y**k + 0 = 0?
0, 1, 3
Let f(j) be the third derivative of -j**9/90720 - j**8/13440 - j**7/7560 - 29*j**4/24 + 24*j**2. Let s(o) be the second derivative of f(o). Factor s(l).
-l**2*(l + 1)*(l + 2)/6
Suppose -6*f - 208 = -32*f. Let z(m) be the first derivative of -1/2*m**4 + 0*m**3 + 0*m**2 + 0*m + f. Solve z(s) = 0.
0
Let n(q) be the third derivative of 0*q**3 + 0 - 1/6*q**5 - 1/35*q**7 + 1/10*q**6 - 11*q**2 + 0*q + 1/336*q**8 + 1/8*q**4. Find j such that n(j) = 0.
0, 1, 3
Let s(a) be the first derivative of -a**6/180 - a**5/54 + a**4/54 - 8*a**2 + 49. Let z(d) be the second derivative of s(d). Factor z(f).
-2*f*(f + 2)*(3*f - 1)/9
Let p be 1/3 + 262/(-840). Let l(r) be the third derivative of 0 - 1/28*r**4 + 0*r - 2*r**2 + 0*r**3 + p*r**5 + 1/56*r**6. Factor l(f).
3*f*(f + 1)*(5*f - 2)/7
Let p(s) be the second derivative of 0*s**2 + 26*s + 1/5*s**3 + 0 + 1/15*s**4 - 1/50*s**5. Factor p(d).
-2*d*(d - 3)*(d + 1)/5
Factor 44*f - 11*f**2 - 44*f**3 - 11*f**2 - 3*f**2 + 29*f**2 - 4*f**4.
-4*f*(f - 1)*(f + 1)*(f + 11)
Let i be (2/4)/(2/5)*96/40. Find q such that -2/19*q**2 + 0 - 2/19*q**4 + 0*q - 4/19*q**i = 0.
-1, 0
Let i(r) be the third derivative of 1/12*r**5 + 0 + 0*r**3 + 0*r - 5/24*r**4 + 26*r**2. Factor i(l).
5*l*(l - 1)
Let m = 994 - 992. Let 1/2*j + 9/2*j**3 + 3*j**2 + 0 + m*j**4 = 0. Calculate j.
-1, -1/4, 0
Suppose 5*c + 0*t = t + 20, -5*c = -4*t - 35. Factor -14*v**2 + 17*v**3 + 10 + 5*v**5 - 23*v**4 + 3*v**c + 24*v**2 - 25*v + 3*v**4.
5*(v - 2)*(v - 1)**3*(v + 1)
Let v be (-528)/(-1260) - ((-3)/(-7))/((-12)/(-8)). Suppose v*y**4 + 0*y**2 + 2/15*y**3 + 0*y + 0 = 0. What is y?
-1, 0
Suppose 0 = -o - 50 + 52. What is s in -1/6 + 4/3*s - 8/3*s**o = 0?
1/4
Let r(i) be the second derivative of i**5/120 + i**4/36 - 5*i**3/9 + 2*i**2 - 131*i. Find a such that r(a) = 0.
-6, 2
Let o = 37 - 31. Let s be o/(-10)*(-20)/24. Determine l, given that 0*l**2 + 1/2*l + 0 - s*l**3 = 0.
-1, 0, 1
Factor 5*d**2 - 5*d**3 - 763*d - 682*d - 128*d**2 - 47*d**2.
-5*d*(d + 17)**2
Let r(y) be the second derivative of -1/60*y**6 + 0 + 1/4*y**2 + 1/6*y**3 + 0*y**4 - 7*y - 1/20*y**5. Factor r(n).
-(n - 1)*(n + 1)**3/2
Let v be (-2)/32 + (-63)/14 + 4. Let p = 37/48 - v. What is a in 0 - p*a - 2*a**3 + 2/3*a**5 - 2/3*a**4 + 10/3*a**2 = 0?
-2, 0, 1
Let f(o) be the third derivative of o**8/756 + 2*o**7/35 + 239*o**6/270 + 23*o**5/5 - 18*o**4 - 216*o**3 - 171*o**2. Factor f(r).
4*(r - 2)*(r + 2)*(r + 9)**3/9
Let a(x) be the second derivative of -4*x**4/3 + 18*x**3 + 14*x**2 - 936*x. Determine p so that a(p) = 0.
-1/4, 7
Let z(f) = -f**3 + 5*f**2 + 6*f + 6. Let c be z(5). Suppose d + d = -5*q + c, 5*q = d + 42. Factor -l - 2*l**2 + 3*l - 4 - 4*l + q*l.
-2*(l - 2)*(l - 1)
Let w(j) be the second derivative of 1/27*j**3 + 0 + 0*j**2 - 13*j + 1/54*j**4. Determine h so that w(h) = 0.
-1, 0
Suppose 1/2*o + 5/8 - 9/8*o**2 = 0. What is o?
-5/9, 1
Let m = 11245 + -11243. Factor -8/13*h - 2/13*h**m + 10/13.
-2*(h - 1)*(h + 5)/13
Let j(p) = 5*p**3 + 5*p**2 - 5. Let x(b) = 4*b**3 + 4*b**2 - 4. Let n(z) = 5*j(z) - 6*x(z). Let l(v) = v**2 - v - 1. Let t(m) = -2*l(m) - 2*n(m). Factor t(i).
-2*(i - 1)*(i + 1)*(i + 2)
Let f(d) = 10*d**2 + 60*d + 85. Let o(w) = 3*w**2 + 20*w + 27. Let y(s) = -4*f(s) + 14*o(s). Determine h, given that y(h) = 0.
-19, -1
Suppose 5*b + 0*t + t = 33, 10 = 2*b + 2*t. Let q(w) = -w**2 + 11*w - 23. Let k be q(b). Factor 0*n - 4/9*n**k - 8/9*n**3 + 0 + 10/9*n**4 + 2/9*n**2.
-2*n**2*(n - 1)**2*(2*n - 1)/9
Suppose 0 = 57*o - 16*o - 123. Let q = 29/252 + 1/36. Find a such that -1/7*a**2 + 1/7*a + 1/7 - q*a**o = 0.
-1, 1
Let m be 4 - (4 - 96/476). Let b = m + -1/17. Find g, given that -1/7*g**4 - 3/7*g**2 + b*g + 3/7*g**3 + 0 = 0.
0, 1
Let x = 157 - 109. Determine a, given that 3*a**2 + 25*a**2 + 16 + x*a + 16*a = 0.
-2, -2/7
Let o(w) be the third derivative of -11*w**6/60 + 19*w**5/10 + 14*w**4/3 - 4*w**3 + 975*w**2. Factor o(j).
-2*(j - 6)*(j + 1)*(11*j - 2)
Let x(f) = -3*f + 32. Let l be x(9). Solve -2/3 + 17/3*r - l*r**2 = 0.
2/15, 1
Factor 0*f**2 - 4/5*f**5 + 0 + 0*f + 0*f**4 + 36/5*f**3.
-4*f**3*(f - 3)*(f + 3)/5
Let x(v) = -v**3 + 7*v**2 - 4*v - 10. Let i be x(6). Suppose 24 = o + i. Find s, given that -20/3*s - 80/3*s**3 + 2/3 + o*s**2 + 32/3*s**4 = 0.
1/4, 1
Let t(g) = g**2 - 5*g - 17. Let q be t(7). Let f(v) = -v**3 - v**2 + v + 4. Let s(w) =