t i(k) = f*b(k) + z*x(k). Factor i(g).
-4*(g - 3)**2
Suppose -3*l - 1199 = -1208. Let m(q) be the first derivative of 3/8*q**2 + 1/2*q - 1 + 0*q**l - 1/16*q**4. Factor m(f).
-(f - 2)*(f + 1)**2/4
Suppose 1 = -4*w + 25. Suppose w + 0 = 2*s. Factor -2*l**2 + s*l - 3*l**3 + 5*l**2 + 1 - 4*l**2.
-(l - 1)*(l + 1)*(3*l + 1)
Find u such that -94/7*u**2 + 0 - 2209/7*u - 1/7*u**3 = 0.
-47, 0
Let n(d) be the third derivative of -9*d**7/140 - 177*d**6/80 + 13*d**5/8 + 101*d**4/16 + 5*d**3 + 214*d**2. Suppose n(h) = 0. Calculate h.
-20, -1/3, 1
Factor 5*u**2 - 21*u + 45 - 29*u + 0.
5*(u - 9)*(u - 1)
Let m(k) = 47*k**4 - 302*k**3 + 412*k**2 - 184*k + 21. Let h(o) = -o**4 + o**3 - o**2 + 2*o + 2. Let l(r) = 2*h(r) + m(r). Determine b so that l(b) = 0.
1/3, 1, 5
Factor 8/5*f**2 + 2/5*f**4 + 8/5*f**3 + 0 + 0*f.
2*f**2*(f + 2)**2/5
Suppose 5*s + 2*q - 11 = 0, 5*s - 5 = -0*q - 5*q. Suppose 3*n - 6 = s. Suppose -5 + 12*d**2 + 8 + 15*d + 3 + n*d**3 + 0 = 0. Calculate d.
-2, -1
Let t(a) be the third derivative of -a**7/15 - a**6/12 + a**5/15 + 7*a**2 + 9. Factor t(s).
-2*s**2*(s + 1)*(7*s - 2)
Suppose 23*c + 78*c = 173*c - 144. Let 2/5*m**2 + c*m + 12/5 = 0. What is m?
-3, -2
Let -2/13*b**2 - 36/13*b - 112/13 = 0. What is b?
-14, -4
Let g be (-3)/(-1) + (-20 - -7). Let w be g*(-3 - (-28)/10). What is m in -m**4 + 3*m**5 + 3*m**2 + m**3 + 4*m**4 - 2*m**5 - 6*m**2 - w*m = 0?
-2, -1, 0, 1
Suppose 5*n - 5*u + u = 35, -3*n - 3*u = 6. Suppose r = n + 1. Find w, given that -2*w**3 + 2*w**5 + 206*w + 2*w**r - 4*w**2 - 204*w - 2*w**3 + 2 = 0.
-1, 1
Let x = -4 - -12. Let j be ((-2)/8)/((-2)/x). Solve 18*t + j + 3 - 12*t + 0 - 2*t**3 = 0.
-1, 2
Suppose 2*w - 4 = 0, 13*w = -4*u + 9*w + 16. Find y such that 12/5*y - 3/5*y**u + 3 = 0.
-1, 5
Factor -5/3*r**5 + 0 + 0*r - 2/3*r**3 - 7/3*r**4 + 0*r**2.
-r**3*(r + 1)*(5*r + 2)/3
Let y = -195 + 197. Suppose -4*k - 6 = y*p, -5*p - 4 - 11 = -k. Factor 0*c + 5/4*c**3 + k*c**2 + 0.
5*c**3/4
Let 2 - 6*o**2 + 2*o**4 - 2*o**3 - 12*o + 2 + o + 13*o = 0. Calculate o.
-1, 1, 2
Let j(h) be the third derivative of h**7/210 - 11*h**6/120 - h**5/60 + 11*h**4/24 - 4*h**2 + 7. Determine z so that j(z) = 0.
-1, 0, 1, 11
Let m(z) be the first derivative of z**4 - 6*z**2 + 8*z + 101. Factor m(i).
4*(i - 1)**2*(i + 2)
Let o(h) be the first derivative of -h**6/12 - h**5/5 + 3*h**4/4 + 10*h**3/3 + 19*h**2/4 + 3*h + 103. Factor o(d).
-(d - 3)*(d + 1)**3*(d + 2)/2
Let s = 1/901 - -4497/7208. Let u(h) be the third derivative of 0 + s*h**4 - 5*h**2 + 7/20*h**5 + 0*h - h**3. Let u(x) = 0. What is x?
-1, 2/7
Let p(n) = 5*n**2 + 2*n - 6. Let h be p(2). Find s, given that 3*s**3 - h*s**2 + 72*s - 20 - 5 - 23 - 9*s**2 = 0.
1, 4
Let l(z) be the first derivative of -4*z**3/11 - 23*z**2/22 - z + 607. Let l(q) = 0. Calculate q.
-1, -11/12
Let t = 5407/2028 - -1/2028. Factor 4*k**3 - t*k**2 + 0*k + 0 - 4/3*k**4.
-4*k**2*(k - 2)*(k - 1)/3
Let b(j) be the second derivative of 3/80*j**5 + 0*j**2 + 1/4*j**3 + 3/16*j**4 - j + 0. Factor b(v).
3*v*(v + 1)*(v + 2)/4
Suppose 3967*q**2 + 14*q - 9 - 3964*q**2 - 20*q = 0. Calculate q.
-1, 3
Let t be (-109)/1980 + (-174)/(-2871). Let o(q) be the third derivative of 0*q - 5*q**2 + 0*q**4 - 1/240*q**6 + 0 + 1/252*q**7 - t*q**5 + 0*q**3. Factor o(h).
h**2*(h - 1)*(5*h + 2)/6
Determine j so that 0 + 4/3*j**4 + 14/3*j**3 + 0*j + 2*j**2 = 0.
-3, -1/2, 0
Let h(g) = g - 1. Suppose -4*t = -4 - 4. Let c(y) = -y**5 + 3*y**4 + y**3 - 11*y**2 + 9*y - 1. Let i(o) = t*c(o) + 6*h(o). Factor i(n).
-2*(n - 2)*(n - 1)**3*(n + 2)
Suppose 10*x = -0*x - 3700. Let q be (-4)/(-32) - (2 + x/112). Factor 4/7 + q*i**2 - 2*i.
2*(i - 1)*(5*i - 2)/7
Determine l so that -172*l**3 + 18*l - 66*l + 93*l**3 - 16 + 107*l**3 + 36*l**2 = 0.
-2, -2/7, 1
Let n = 1115/3 + -369. Let d = -66 - -71. Factor -4/3 - 10/3*l + n*l**3 + 2/3*l**d - 4/3*l**2 + 8/3*l**4.
2*(l - 1)*(l + 1)**3*(l + 2)/3
Let j = 187 + -178. Suppose j*u + u - 7*u = 0. Solve u*m + 1/4*m**3 - 1/4*m**2 + 0 = 0 for m.
0, 1
Let y(g) be the second derivative of -9*g + 0 + 8/57*g**3 + 147/95*g**5 + 343/285*g**6 + 0*g**2 + 14/19*g**4. Factor y(o).
2*o*(7*o + 2)**3/19
Let v(l) be the second derivative of l**4/114 + 7*l**3/19 - 22*l**2/19 - 10*l. Factor v(t).
2*(t - 1)*(t + 22)/19
Suppose 73 = 24*r - 23. Determine w, given that 28*w**4 + 3*w**r + 8*w**5 + 9*w**4 + 50*w**3 + 16 - 20*w**2 - 40*w = 0.
-2, 1/2
What is l in -3*l**2 + 50 - 34 - 27 - 30*l - 16 = 0?
-9, -1
Let r(j) be the third derivative of j**7/1470 - 3*j**6/140 - 2*j**5/35 + 7*j**4/12 - 19*j**3/14 - 35*j**2 + 3. Factor r(t).
(t - 19)*(t - 1)**2*(t + 3)/7
Let x(t) = 7*t**2 - 2*t - 3. Let y(i) be the second derivative of 11/6*i**4 - 5*i**2 - 4*i - 5/6*i**3 + 0. Let f(a) = 7*x(a) - 2*y(a). Factor f(u).
(u - 1)*(5*u + 1)
Suppose -4*l = o - 2*l + 2, -2*l - 14 = -2*o. Factor 0*s + 1/2*s**3 - 1/4*s**2 + 0 - 1/4*s**o.
-s**2*(s - 1)**2/4
Let s(t) = -4*t + 2. Let r(u) = 2 + 1 - 5*u + u**2 - 1 - u**3. Let p(i) = -2*r(i) + 3*s(i). Factor p(m).
2*(m - 1)**2*(m + 1)
Let f(v) be the first derivative of -16/11*v - 61/22*v**4 + 6/11*v**2 - 5/33*v**6 + 6/5*v**5 + 70/33*v**3 - 8. Solve f(x) = 0 for x.
-2/5, 1, 4
Let m(x) be the third derivative of x**6/360 - 14*x**5/15 - x**4/72 + 28*x**3/3 - 748*x**2. Suppose m(w) = 0. Calculate w.
-1, 1, 168
Let y(p) = p**3 - 10*p**2 + 22*p - 2. Let v(i) = -3*i**3 + 21*i**2 - 45*i + 5. Let g(l) = -2*v(l) - 5*y(l). Factor g(u).
u*(u - 2)*(u + 10)
Factor -7 - 1 + 4*x**2 + 12*x**3 + 38*x - 50*x + 4*x**4.
4*(x - 1)*(x + 1)**2*(x + 2)
Let o be ((-32)/80 - (-2)/5)/2. Factor o + 2/3*t**3 + 2/3*t - 5/3*t**2.
t*(t - 2)*(2*t - 1)/3
Let d be (-192)/(-56) + 99/(-231). Factor 156/7*n**2 - 232/7*n + 18/7*n**d + 80/7.
2*(n + 10)*(3*n - 2)**2/7
Let h(c) be the third derivative of -c**5/120 - 11*c**4/24 - 121*c**3/12 + 2*c**2 - 134*c. Determine p, given that h(p) = 0.
-11
Let v = -737/531 + 95/59. Let 8/9 + v*d**3 - 2/9*d**2 - 8/9*d = 0. Calculate d.
-2, 1, 2
Let u(d) be the second derivative of d**7/210 + 2*d**6/45 + 2*d**5/15 + 3*d**3/2 + 27*d. Let i(h) be the second derivative of u(h). Find j such that i(j) = 0.
-2, 0
Let t(n) be the first derivative of 16/5*n - 28/15*n**3 + 0*n**2 - 5 + 3/5*n**4. Factor t(m).
4*(m - 2)*(m - 1)*(3*m + 2)/5
Let s(c) = -3*c**3 + 87*c**2 - 9*c - 75. Let u(w) = -9*w**3 + 260*w**2 - 25*w - 226. Let g(t) = -17*s(t) + 6*u(t). Factor g(m).
-3*(m - 27)*(m - 1)*(m + 1)
Let i(h) be the third derivative of -h**7/70 - 2*h**6/5 + 27*h**5/10 - 7*h**4 + 19*h**3/2 + 783*h**2. Determine g so that i(g) = 0.
-19, 1
Let a = -515 - -347. Let u = 170 + a. Factor -6 + 18*s - 27/2*s**u.
-3*(3*s - 2)**2/2
Factor 11*o**2 - 38*o**2 - 117*o**3 + 66*o + 120*o**3 - 48 + 6*o.
3*(o - 4)**2*(o - 1)
Let d(r) be the first derivative of -r**3/5 + 3*r**2/10 + 189. Solve d(l) = 0.
0, 1
Let x(k) be the first derivative of 3*k**4/8 - 35*k**3/2 + 969*k**2/4 - 867*k/2 - 227. Factor x(h).
3*(h - 17)**2*(h - 1)/2
Solve -4*b - 22*b + 26*b + 5*b**2 - b**2 + 2*b**3 - 2*b**4 = 0 for b.
-1, 0, 2
Factor -1/6*k**2 + 2/3*k + 0.
-k*(k - 4)/6
Solve 7*b**3 + 0*b**3 - 17*b**2 - 10*b**2 + 6*b**2 - 68 + 72*b - 6*b**3 = 0 for b.
2, 17
Let a = 17 - 17. Let v(m) be the second derivative of 3*m + 0*m**2 + 1/80*m**5 - 1/12*m**3 + 1/48*m**4 + a. Determine s so that v(s) = 0.
-2, 0, 1
Let t(z) be the first derivative of -z + 4/9*z**3 + 29 - 1/6*z**2. Factor t(r).
(r - 1)*(4*r + 3)/3
Let t be 2/4*56/14. Let v(c) be the second derivative of 1/10*c**5 - c + 0*c**t + 0*c**3 + 0 - 1/21*c**7 - 1/15*c**6 + 1/6*c**4. Factor v(h).
-2*h**2*(h - 1)*(h + 1)**2
Let w(r) be the second derivative of -r**6/15 + 9*r**5/5 - 40*r**4/3 - 6*r**3 + 81*r**2 + 68*r - 1. Factor w(t).
-2*(t - 9)**2*(t - 1)*(t + 1)
Let g(s) be the third derivative of -s**9/22680 - s**8/3150 - s**7/1260 - s**6/1350 + 2*s**3/3 - 8*s**2. Let q(p) be the first derivative of g(p). Factor q(r).
-2*r**2*(r + 1)**2*(r + 2)/15
Let u(q) be the first derivative of q**4/2 + 20*q**3/3 + 32*q**2 + 64*q - 175. Suppose u(m) = 0. Calculate m.
-4, -2
Factor 23 - 20*w**2 - w**3 + 29*w**2 - 18*w**2 + 1 + 0*w - 14*w.
-(w - 1)*(w + 4)*(w + 6)
Let l be 16/4 + 0 - 4. Let h(y) be the third derivative of 0*y + 1/18*y**3 + l + 1/48*y**4 + 0*y**5 - 1/720*y**6 + 6*y**2. Suppose h(t) = 0. Calculate t.
-1, 2
Suppose -5*n + 143*z + 6 = 140*z, 6 = 2*z