ative of -c**5/160 + 17*c**4/8 - 289*c**3 + c**2 + 5*c. Factor p(u).
-3*(u - 68)**2/8
Suppose 2*z - 6 = 3*w, 229*w - z = 231*w - 3. Solve 0*l**2 + 0 - 4/7*l**3 - 2*l**4 + 18/7*l**5 + w*l = 0 for l.
-2/9, 0, 1
Suppose 353*q - 101*q = 504. Find f, given that -3/5 - 27/5*f**4 - 72/5*f**3 - 66/5*f**q - 24/5*f = 0.
-1, -1/3
Let k(f) = f**3 + 10*f**2 - 12*f - 1. Let n be k(-11). Suppose -5*l + n = -3*x, -5*l - 3*x + 10 = 2*x. Factor -l*z**2 + 40 - 24 - 2*z**2.
-4*(z - 2)*(z + 2)
Factor 18*i + 10*i**3 + 6*i + 0*i**3 + 7*i**2 - 18*i**3 + 4*i**4 - 27*i**2.
4*i*(i - 3)*(i - 1)*(i + 2)
Let u(j) be the second derivative of 0 - 1/2*j**3 - 1/2*j**4 - 6*j + 3*j**2 + 3/20*j**5. What is o in u(o) = 0?
-1, 1, 2
Let z(n) be the first derivative of n**4/4 + 3*n**3 + 3*n**2 - 16*n + 69. Factor z(l).
(l - 1)*(l + 2)*(l + 8)
Let f(s) be the first derivative of s**6/6 + s**5 + s**4 - 16*s**3/3 - 16*s**2 - 16*s - 290. Let f(d) = 0. What is d?
-2, -1, 2
Let m(v) be the third derivative of 0*v**3 - 2/315*v**7 + 1/9*v**4 + 0*v - 22*v**2 + 0 + 1/30*v**6 - 1/252*v**8 + 1/9*v**5. Determine f, given that m(f) = 0.
-1, 0, 2
Let s be (-4)/22 - (-1000)/(-66). Let l = -89/6 - s. Let -3/4*p + 1/4*p**2 + l = 0. Calculate p.
1, 2
Let w = -3344 - -3344. Suppose 6/5*h**2 + w + 3/5*h**3 + 3/5*h = 0. Calculate h.
-1, 0
Let a = 4084 - 12248/3. Solve 2*d**2 - 2/3*d**5 + a*d - 2*d**4 - 2/3*d**3 + 0 = 0.
-2, -1, 0, 1
Suppose -4*w - 5*o = -1, -o - 9 = -5*w + 14. Factor -18*r + 2*r**2 - w - 4*r**2 - 12 + 0*r**2.
-2*(r + 1)*(r + 8)
Let m(p) be the third derivative of p**6/840 - 17*p**5/210 + 40*p**4/21 - 256*p**3/21 - 357*p**2. Solve m(y) = 0 for y.
2, 16
Let o(a) be the second derivative of 0 - 7/2*a**2 - 1/30*a**5 + 1/60*a**6 + 0*a**3 + 0*a**4 - 3*a. Let z(g) be the first derivative of o(g). Factor z(n).
2*n**2*(n - 1)
Suppose 4*h = l - 36, 2*l - 37 - 7 = h. Factor 16*v - 1 + v**3 - l*v**2 + 3*v**3 + 1.
4*v*(v - 4)*(v - 1)
Let t(i) = 4*i - 5*i + 6 - 6*i + i. Let w(s) = s**3 + 12*s - 13. Let h(u) = 5*t(u) + 2*w(u). Suppose h(b) = 0. Calculate b.
-2, 1
Let t(u) = 2*u**2 - 9*u + 3. Let d(z) = 5*z**2 - 19*z + 7. Let f(m) = 6*d(m) - 14*t(m). Factor f(v).
2*v*(v + 6)
Let x(i) be the first derivative of -i**9/3024 - i**8/1680 + i**7/840 + i**6/360 + 2*i**3/3 - 8. Let h(j) be the third derivative of x(j). Factor h(w).
-w**2*(w - 1)*(w + 1)**2
Solve -37905 - 9107 - 628*b + 873 - 2*b**2 - 3159 = 0 for b.
-157
Let n(o) be the first derivative of 16/17*o - 2/51*o**3 + 7/17*o**2 + 29. Factor n(s).
-2*(s - 8)*(s + 1)/17
Let -18050 - y**4 - 96*y**3 + 3*y**4 - 5083*y - 4037*y - 4*y**4 + 0*y**4 - 1532*y**2 = 0. What is y?
-19, -5
Let c = -5 + 8. Let z be 2 - 0 - c/(-3). Find v, given that 3*v**2 - 2*v + 0*v**2 + 11*v + z*v**3 - 3 - 12*v**3 = 0.
-1, 1/3, 1
Suppose -23*a**2 - 37 + 15*a**2 + 22*a - 19 + 6*a**2 = 0. What is a?
4, 7
Let w(z) be the second derivative of 0*z**3 + 0*z**2 + 0*z**5 - 1/21*z**7 - 2*z + 0 - 1/5*z**6 + 0*z**4. Factor w(t).
-2*t**4*(t + 3)
Let y(q) be the first derivative of -q**3/9 - 29*q**2/2 + 474. Factor y(b).
-b*(b + 87)/3
Let t(m) be the second derivative of -m**5/16 - 5*m**4/6 + 15*m**3/8 + 95*m. Find k such that t(k) = 0.
-9, 0, 1
Let s be (3/24)/((429/44)/1). Let m(d) be the third derivative of 0*d - 2*d**2 + s*d**4 + 0 - 1/390*d**5 + 0*d**3. Solve m(f) = 0 for f.
0, 2
Let w(a) = 10*a**2 - 87*a - 251. Let u be w(11). What is i in -4/9*i + 2/9*i**5 + 2/9*i**4 - 10/9*i**u - 2/3*i**3 + 0 = 0?
-1, 0, 2
Let t(h) = 2*h**4 - 2*h**2 - h. Let c(m) = -20*m**4 + 244*m**3 - 280*m**2 + 58*m. Let l(y) = -c(y) - 2*t(y). Factor l(v).
4*v*(v - 14)*(v - 1)*(4*v - 1)
Suppose -3*q + 7*i - 65 = 2*i, 5*q - 3*i + 87 = 0. Let l = -12 - q. Suppose 10*d**l - d + 7*d + d**2 - 15*d**2 - 2*d**4 = 0. Calculate d.
0, 1, 3
Let h be 12/9 - (-391)/15 - 3. Let a = h - 70/3. Factor 2/3*k**4 - 4/15*k + a*k**3 + 0 + 2/15*k**2.
2*k*(k + 1)**2*(5*k - 2)/15
Let d(o) be the first derivative of 27*o**4/4 - 88*o**3 + 615*o**2/2 + 150*o - 36. Factor d(h).
3*(h - 5)**2*(9*h + 2)
Factor 40/7*r + 600/7 + 2/21*r**2.
2*(r + 30)**2/21
Factor -13*o - 16 - 14 + 14 - o**2 - 14.
-(o + 3)*(o + 10)
Solve -16 - 107*j + 4*j**3 - 127*j + 218*j + 4*j**2 = 0.
-2, -1, 2
Suppose -3*r - 2*t = -10, -2*r - 6 = -6*t + t. Suppose -5*o - p = 2*p - 2, -r*p - 2 = 0. Factor 4*z**3 + o + 7*z - 19*z - 9.
4*(z - 2)*(z + 1)**2
Let g(u) = -u. Let m(z) = 2*z**2 + 21*z + 40. Let o(p) = 3*g(p) - m(p). Factor o(n).
-2*(n + 2)*(n + 10)
Suppose -h - k + 5 = -2*k, 3*k = -15. Let m(b) be the second derivative of h*b**4 - 3/5*b**2 + 3/100*b**5 + 0 - 3*b - 3/10*b**3. Factor m(g).
3*(g - 2)*(g + 1)**2/5
Let l(s) be the second derivative of s**5/25 + s**4/3 + 4*s**3/5 - 63*s. Factor l(h).
4*h*(h + 2)*(h + 3)/5
Let b(c) = -c**2 + 45*c - 502. Let s be b(21). Let -s*x**4 - 4/3*x**3 + 2/3*x**2 + 0 + 0*x = 0. What is x?
-1, 0, 1/3
Let j be 462/105 + 10/(-25). Factor -2/5*i**j + 6/5*i**2 + 0 + 4/5*i + 0*i**3.
-2*i*(i - 2)*(i + 1)**2/5
Let w(d) be the second derivative of d**5/70 - 3*d**4/14 - d**3 + 35*d**2 - 481*d. Factor w(t).
2*(t - 7)**2*(t + 5)/7
Let w = 29/105 + 2/35. Suppose -8*q - 5 = -9*q + p, q - 2*p = 10. Let 0*z - w*z**2 + q - 1/3*z**3 = 0. Calculate z.
-1, 0
Suppose 21*g + 21*g = 10*g. Find b, given that 0*b - 1/2*b**4 + 0*b**2 + g + 3/2*b**3 = 0.
0, 3
Suppose 12*j + 37 = 109. Let c be (j/(-5))/(4/(-10)). Let 0 + 4/7*v**2 - 36/7*v**c - 52/7*v**4 - 20/7*v**5 + 8/7*v = 0. Calculate v.
-1, 0, 2/5
Let l(q) be the first derivative of q**6/210 + q**5/105 - 2*q**4/21 - 8*q**3/21 + 3*q**2 + 4. Let x(h) be the second derivative of l(h). Solve x(t) = 0 for t.
-2, -1, 2
Let f(z) = -19*z**4 - 69*z**3 - 19*z**2 + 157*z - 58. Let s(j) = 37*j**4 + 138*j**3 + 37*j**2 - 313*j + 115. Let p(d) = 7*f(d) + 4*s(d). Factor p(x).
3*(x - 1)*(x + 3)**2*(5*x - 2)
Suppose -38 = -5*z + 17. Suppose 0 = -y - 3*w, -3*w - z = -2*y + 2*w. Factor a + 1/2*a**y + 1/4 + 5/4*a**2.
(a + 1)**2*(2*a + 1)/4
Let s be (5*1)/((-190)/(-76))*2. Let b(m) be the second derivative of 0 - 12*m - 10/9*m**3 + 1/18*m**s + 25/3*m**2. Find d such that b(d) = 0.
5
What is s in 283 + s**2 - 156 + 3*s**2 + 20*s - 151 = 0?
-6, 1
Let v = -10 + 11. Let g = 5 + v. Let p(z) = 15*z**2 + 4*z. Let x(q) = -7*q**2 - 2*q. Let h(d) = g*p(d) + 13*x(d). What is b in h(b) = 0?
-2, 0
Solve 0 - 34/7*x**4 + 8/7*x**5 + 4/7*x + 48/7*x**3 - 26/7*x**2 = 0 for x.
0, 1/4, 1, 2
Suppose 0 = -6*j + 7 + 5. What is w in -13*w**j + 5*w**4 - 138*w + 3*w**3 + w**5 - 140*w + 270*w + 12 = 0?
-3, -2, 1
Let u(p) be the third derivative of 0*p + 0*p**4 + 0 - 1/15*p**5 + 1/30*p**6 + 14*p**2 - 1/84*p**8 + 0*p**3 + 2/105*p**7. Solve u(r) = 0 for r.
-1, 0, 1
Let y be (6 + (-220)/36)*-5. Let i(t) be the first derivative of -6 - 1/6*t**4 - y*t**3 - 2/3*t**2 - 1/3*t. Factor i(k).
-(k + 1)**2*(2*k + 1)/3
Let y(i) be the third derivative of i**9/12096 + i**8/6720 - i**7/3360 - i**6/1440 - i**3 - 23*i**2. Let p(q) be the first derivative of y(q). Factor p(o).
o**2*(o - 1)*(o + 1)**2/4
Let j(m) = m**2 + 3*m + 14. Let s be j(0). Factor -3*w + 45*w**3 - 9*w - 3*w**4 - 36*w**2 - s*w**4 + 5*w**4.
-3*w*(w - 2)**2*(4*w + 1)
Let i(d) be the third derivative of d**7/1365 - 73*d**6/780 + 259*d**5/78 + 1369*d**4/156 + 3*d**2 - 31. Determine s, given that i(s) = 0.
-1, 0, 37
Let v(m) = -2*m**2 + 2*m - 5. Let o(b) = 5*b + 3. Let f be o(-2). Let w(j) = 3*j**2 - 3*j + 7. Let h(s) = f*v(s) - 5*w(s). Factor h(d).
-d*(d - 1)
Let q(w) be the third derivative of 2*w**7/105 + w**6/3 - 13*w**5/5 + 2*w**4/3 + 104*w**3/3 + 443*w**2. Factor q(y).
4*(y - 2)**2*(y + 1)*(y + 13)
Let c(b) be the first derivative of -4*b**5/15 + 10*b**4 + 388*b**3/9 + 44*b**2 - 85. Suppose c(w) = 0. What is w?
-2, -1, 0, 33
Determine m so that -5 - 1/6*m**5 + 1/3*m**3 - 8*m**2 + m**4 + 71/6*m = 0.
-3, 1, 2, 5
Let q(y) be the third derivative of y**5/180 - 11*y**4/9 + 29*y**3/6 - 968*y**2. Factor q(t).
(t - 87)*(t - 1)/3
Let i(p) be the second derivative of p**7/126 + p**6/15 + 13*p**5/60 + p**4/3 + 2*p**3/9 + 180*p. Factor i(f).
f*(f + 1)**2*(f + 2)**2/3
Let u be 265/20 + (1 + 8 - 17). Find c such that 3/2 + u*c + 15/4*c**2 = 0.
-1, -2/5
Let g(s) be the first derivative of -9/4*s**4 + 14 + 3/20*s**5 + 75/4*s - 45/2*s**2 + 23/2*s**3. What is v in g(v) = 0?
1, 5
Let n(q) = 3*q**5 + 48*q**4 + 150*q**3 + 228*q