*t**2 + 210*t**2 + 916*t + 154943 - 142*t + 7*t**3.
2*(t + 3)*(t + 15)*(9*t - 1)
Let f(w) be the first derivative of 2*w**3/27 - 88*w**2/3 - 530*w/9 - 4384. Factor f(n).
2*(n - 265)*(n + 1)/9
Let a(f) be the third derivative of -f**7/630 - 2*f**6/45 - 53*f**5/180 - 31*f**4/36 - 4*f**3/3 + 590*f**2. Factor a(x).
-(x + 1)**2*(x + 2)*(x + 12)/3
Let y(w) be the second derivative of w**6/30 - 26*w**5/5 + 103*w**4/12 - 4*w + 55. Factor y(a).
a**2*(a - 103)*(a - 1)
Let o(n) be the third derivative of -n**7/1260 - 7*n**6/360 + 163*n**5/360 - 35*n**4/18 + 11*n**3/3 + 1844*n**2. Factor o(r).
-(r - 6)*(r - 1)**2*(r + 22)/6
Let y = -195/3331 + 27233/9993. Solve -2*i**4 + 3*i + 0 + 2*i**2 - 1/3*i**5 - y*i**3 = 0 for i.
-3, -1, 0, 1
Let y(j) be the third derivative of -9*j**6/8 + 487*j**5/4 - 100*j**4/3 - 90*j**3 + 10429*j**2. Suppose y(d) = 0. What is d?
-2/9, 1/3, 54
Let f(b) be the third derivative of -b**7/210 - b**6/360 + 7*b**5/90 + b**4/18 - 4*b**3/9 + 2655*b**2. Determine n so that f(n) = 0.
-2, -1, 2/3, 2
Let i(p) = 6*p**2 + 168*p + 3540. Let u(w) = 13*w**2 + 336*w + 7083. Let k be 58/(-377) + (-108)/(-26). Let f(q) = k*u(q) - 9*i(q). Factor f(s).
-2*(s + 42)**2
Let p(w) = -w**3 + 175*w**2 + 6*w - 1047. Let g be p(175). Factor -5/4*t**4 + 0 + 0*t**g - 5/2*t + 15/4*t**2.
-5*t*(t - 1)**2*(t + 2)/4
Suppose -4*k + 25 = -31. Let m = 310 - 290. Solve 8*s - m*s - k*s**2 + 11*s**2 = 0 for s.
-4, 0
Let y = 36839 - 478903/13. Let p(b) be the first derivative of y*b**4 + 16/13*b**3 + 32/13*b**2 - 32 + 2/65*b**5 + 32/13*b. Factor p(a).
2*(a + 2)**4/13
Let h(z) be the second derivative of -1/27*z**4 + 2/27*z**3 + 8/3*z**2 + 3 - z. Suppose h(g) = 0. What is g?
-3, 4
Let y be ((-40)/12)/(75/(-90)). Factor 4*t + 47*t**3 + 44*t**2 - 144*t**y + 44*t**3 + 5*t**3.
-4*t*(t - 1)*(6*t + 1)**2
Let a be (2 - 1)*47*7/2. Let l = -160 + a. Solve -1/6*z**5 + l*z - 5/3*z**3 + 7/6*z**4 - 3*z**2 + 9/2 = 0.
-1, 3
Let z be (-12)/(-20) + (-24)/40. Let w(x) be the third derivative of -1/36*x**3 + 0*x**4 + 14*x**2 + z + 1/360*x**5 + 0*x. Suppose w(t) = 0. Calculate t.
-1, 1
Suppose -l = -4*g - 7, -7*l - 3*g = -8*l + 7. Suppose 20 = l*m - 8. Factor 0*d + 3/8*d**m - 3/4*d**3 + 0 - 9/8*d**2.
3*d**2*(d - 3)*(d + 1)/8
Find x such that 1111*x**5 - 4*x**3 + 29*x**4 + 128*x - 16 - 112*x**2 - 2243*x**5 + 1125*x**5 = 0.
-2, 1/7, 2
Let h(f) = -3*f**2 - 3*f + 15. Let t(v) = -v. Let g(m) = 10*m + 8. Let o be g(3). Let z = 23 - o. Let d(x) = z*t(x) + h(x). Factor d(u).
-3*(u - 5)*(u + 1)
Let b(m) = 15*m**3 + 115*m**2 + 1245*m + 3435. Let k(t) = -2*t**3 + 5*t**2 - 4*t - 1. Let v(i) = b(i) + 5*k(i). Factor v(r).
5*(r + 7)**2*(r + 14)
Let z be ((2/21)/((-28)/98))/(9/(-12)). Find p such that z*p**2 - 2/9*p**3 + 0 + 0*p - 2/9*p**4 = 0.
-2, 0, 1
Find a, given that 6050/3 + 3520/3*a + 64/3*a**3 + 2/3*a**4 + 244*a**2 = 0.
-11, -5
Let t(j) = -j**4 - 10*j**3 - 34*j**2 + 2*j. Let a(u) = -2*u**4 - 19*u**3 - 69*u**2 + 5*u. Let z(n) = -2*a(n) + 5*t(n). Factor z(g).
-g**2*(g + 4)*(g + 8)
Let t(r) be the first derivative of -5/6*r**3 - 63 - 6*r + 7/2*r**2 + 1/16*r**4. Suppose t(l) = 0. What is l?
2, 6
Let h be (-55)/(-25) + 4/8 + (-42)/60. Let z(w) be the first derivative of -6*w - w**3 - 9/2*w**h + 2. Factor z(f).
-3*(f + 1)*(f + 2)
Suppose 129 = 3*y + 120. Factor -84*p**y - 52668*p - 147*p**4 - 75 + 52728*p + 112*p**2 + 86*p**2.
-3*(p + 1)**2*(7*p - 5)**2
Let h(t) be the third derivative of -t**5/570 + t**4/6 - 80*t**3/19 - 6715*t**2. Solve h(c) = 0.
8, 30
Let p(a) be the second derivative of a**4/18 - 14*a**3/9 + 11*a**2 + 533*a. Factor p(v).
2*(v - 11)*(v - 3)/3
Let 9*n**2 - 9778180*n**3 + 11*n**2 + 9778156*n**3 + 8*n**2 = 0. Calculate n.
0, 7/6
Factor 25*o**4 - 170*o - 72*o - 48 - 110*o - 168*o**3 + 24*o**4 - 696*o**2.
(o - 6)*(o + 2)*(7*o + 2)**2
Suppose 4*o - 3*o - 3 = 0. Suppose 240 + 64 = 16*z. Solve -25*p + 3*p**2 + z*p + 9*p**3 - 3*p**o - 3*p**4 = 0 for p.
-1, 0, 1, 2
Let g(c) be the second derivative of 2*c**7/21 - 46*c**6/15 - 109*c**5/5 + 23*c**4/3 + 72*c**3 - 3*c + 189. Determine k, given that g(k) = 0.
-4, -1, 0, 1, 27
Let u(i) be the second derivative of -18 - 1/80*i**5 + 0*i**3 + 0*i**2 - i - 11/48*i**4. Factor u(o).
-o**2*(o + 11)/4
Determine q, given that 4*q**4 - 312*q**2 + 12*q**3 - 76*q**2 - 48*q**3 - 924*q - 187 - 389 = 0.
-3, -1, 16
Let a(r) be the first derivative of 2*r**3/9 + 137*r**2 + 820*r/3 - 1125. Factor a(z).
2*(z + 1)*(z + 410)/3
Let s(d) be the first derivative of d**8/112 - d**7/14 + 7*d**6/40 - 3*d**5/20 + 4*d**2 - 76. Let o(x) be the second derivative of s(x). Factor o(n).
3*n**2*(n - 3)*(n - 1)**2
Let z(o) be the third derivative of -o**6/60 + o**5/30 + 5*o**4/6 + 8*o**3/3 + 293*o**2. Factor z(r).
-2*(r - 4)*(r + 1)*(r + 2)
Let s(j) be the second derivative of -j**6/70 - 93*j**5/140 + 45*j**4/7 - 1225*j + 2. Find d such that s(d) = 0.
-36, 0, 5
Let -5*a**3 - 8976*a - 8712 + 0*a**3 + 3*a**3 - 266*a**2 = 0. What is a?
-66, -1
Let a(k) be the first derivative of 4/5*k**2 + 2/3*k**3 - 1/10*k**4 + 70 - 8*k. Factor a(i).
-2*(i - 5)*(i - 2)*(i + 2)/5
Let j(i) = -5*i**3 + i**2 + 4*i + 2. Let z = 35 - 36. Let l be j(z). What is w in w**3 + 27*w**l - 17*w**4 - 11*w**4 = 0?
0, 1
Solve 13/5*j + 1/5*j**2 + 22/5 = 0.
-11, -2
Let f(y) be the third derivative of 27*y**6/10 + 66*y**5/5 - 131*y**4/6 + 8*y**3 + 2*y**2 - 2108*y. Factor f(v).
4*(v + 3)*(9*v - 4)*(9*v - 1)
Let w(h) be the second derivative of -5 - h + 2/5*h**5 + 0*h**2 + 0*h**3 - 1/30*h**6 + 3/4*h**4. Suppose w(a) = 0. Calculate a.
-1, 0, 9
Let i = 470 - 470. Suppose -2*g - 3*g = 2*f, 4*g - f = i. Factor -2/13*o**3 + 2/13*o**5 + 2/13*o**2 - 2/13*o**4 + 0*o + g.
2*o**2*(o - 1)**2*(o + 1)/13
Suppose 695 - 391 = 8*h. Suppose -23*m + h*m = 27*m. Factor -8/11 - 2/11*u**5 - 40/11*u**2 + 20/11*u**3 + m*u**4 + 30/11*u.
-2*(u - 1)**4*(u + 4)/11
Let o = 2917 - 26252/9. Let b(g) be the third derivative of 7/540*g**6 - 8/27*g**3 + 0 + 0*g - 2*g**2 - o*g**5 + 1/3*g**4. Suppose b(a) = 0. What is a?
2/7, 2
Let c = 1254096 - 1254094. Find r such that -5/3*r**c + 1/3*r**3 + 5/3 - 1/3*r = 0.
-1, 1, 5
Suppose -8 = 2*u - 2*i, 0*u - 20 = 3*u - 5*i. Suppose -3*r + 33 = -u*r. Factor 5*m**3 + 59*m - 32 - m**3 - 24*m**2 - r*m.
4*(m - 2)**3
Suppose -16*v + 13*v + 4*h = -38, -2*v + h = -27. Suppose -j - v*j + 30 = 0. Factor 1/4*c**3 + 9/4*c - 3/2*c**j - 1.
(c - 4)*(c - 1)**2/4
Let g(v) = -v**2 + 19*v + 20. Let x(p) = -21*p - 3. Let w(r) = 5*r + 1. Let f(y) = -18*w(y) - 4*x(y). Let d(b) = 14*f(b) + 4*g(b). Factor d(l).
-4*(l + 1)**2
Let i(x) = -5*x**2 + 13*x. Let y(s) = -10*s + 4*s**2 + 2*s**2 - 5*s + s. Let j(a) = -4*i(a) - 3*y(a). Determine k so that j(k) = 0.
0, 5
Let c = 95 - 96. Let s be 0/((-1 - -6)*c). Factor s + 2/7*x**3 + 0*x + 0*x**2.
2*x**3/7
Let x = -54145/88 + 4931/8. Solve 14/11*p + 0*p**2 + x - 2/11*p**3 = 0 for p.
-2, -1, 3
Let b(q) be the second derivative of -q**5/30 + 28*q**4/9 + 245*q**3/9 - 100*q**2 - 3079*q. Suppose b(h) = 0. Calculate h.
-5, 1, 60
Let c(k) be the second derivative of 12*k**2 - 1/6*k**4 + 9*k - 4/3*k**3 + 0. Let c(i) = 0. What is i?
-6, 2
Let i be (6/27 - (3344/(-504) + 8))*10/(-20). Determine u, given that -i*u + 1/7*u**2 - 5/7 = 0.
-1, 5
Let p(d) = d**3 - 13*d**2 + 23*d - 9. Let o be (2/4)/(1/22). Let w be p(o). Find t, given that -w + t**2 - 2 - t + 2 = 0.
-1, 2
Let o(q) be the second derivative of q**7/1680 + q**6/360 - 52*q**3/3 + 30*q. Let b(k) be the second derivative of o(k). Determine h so that b(h) = 0.
-2, 0
Let f(u) be the first derivative of -u**6/90 + u**5/15 - u**4/6 - 2*u**3/3 - 43*u**2/2 + 55. Let y(v) be the third derivative of f(v). Factor y(q).
-4*(q - 1)**2
Let k be 1*(-10)/(-6) - (-1796)/1347. Suppose -m + 15 = -22*l + 17*l, 4*m + k*l = 14. Factor 1/4*w**4 + 0*w**3 + 0*w + 1/4*w**m + 0*w**2 + 0.
w**4*(w + 1)/4
Factor 2/7*f**4 + 278/7*f**3 + 548/7*f**2 + 0 + 0*f.
2*f**2*(f + 2)*(f + 137)/7
What is m in -3078*m + 9303*m + 8959*m - 547*m**2 + 270*m**2 - 14409616 + 273*m**2 = 0?
1898
Let y = -216 + 597. Let c = y + -381. Factor -2*g**2 - 2*g + c - 1/2*g**3.
-g*(g + 2)**2/2
Let d be 92/1242*9/2. Let y(r) be the second derivative of 0 - d*r**4 - 8*r + 0*r**2 + 8/3*r**3. Determine s, given that y(s) = 0.
0, 4
Let p(z) = z**3 + 2*z**2 + 2*z + 2. Let b be p(-1). Let s be (-8)/(-10)*((-15)/(-6))/b. Sup