se 7*o - 29 = 6. Factor -1/6*m**o + 1/6*m**3 - 1/6*m**4 + 1/6*m**2 + 0 + 0*m.
-m**2*(m - 1)*(m + 1)**2/6
Let k(h) be the first derivative of h**5/5 - 3*h**4/4 + h**3 - h**2/2 - 11. Factor k(t).
t*(t - 1)**3
Let l(z) = -z - 1. Let u(n) = -3*n**2 - 21*n - 30. Let x(s) = 3*l(s) - u(s). Factor x(c).
3*(c + 3)**2
Let w be 5 + 2 - 3 - -3121. Find v such that 3125/2*v**5 + w*v**4 + 2500*v**3 + 200*v + 1000*v**2 + 16 = 0.
-2/5
Let s(t) = t**3 - 9*t**2 - 9*t - 7. Let u be s(10). Determine b so that -1 + 1 + b**2 + 3*b**4 + 0*b**2 + u*b**3 + b**5 = 0.
-1, 0
Let l(c) be the third derivative of 7*c**6/600 + 19*c**5/300 + c**4/15 - 2*c**3/15 - 13*c**2. Factor l(t).
(t + 1)*(t + 2)*(7*t - 2)/5
Let b = 4169/12 - 347. Let k = b + -1/6. Solve 3/4*n**2 + 1/2 - k*n**4 + 1/4*n**3 - 5/4*n = 0.
-2, 1
Suppose 3*b = 3 + 12. What is a in -4*a**4 + 6*a**4 - a**5 + 5*a**b + 6*a**4 + 4*a**3 = 0?
-1, 0
Suppose -4*w - 5*o + 41 = 0, 4*w - o - 1 - 10 = 0. Solve -52*s**3 + w - 17*s**4 + 28*s + 13*s**2 + 98*s**4 - 74*s**3 = 0 for s.
-2/9, 1
Let y(o) be the first derivative of -o**5/30 + o**3/9 - o/6 - 6. Determine m, given that y(m) = 0.
-1, 1
Let k(b) = b**3 + 3*b**2 - 2. Let z(t) = -2*t**3 - 4*t**2 + 3. Let r be 34/10 - 6/15. Let p(f) = r*k(f) + 2*z(f). Factor p(m).
-m**2*(m - 1)
Let h be (6*4/6)/(-2). Let b be (h - 1) + (-16)/(-5). Determine v so that 1/5*v**3 - b*v**2 + 1/5 - 1/5*v = 0.
-1, 1
Let k(t) = t**3 - 5*t**2 - 4*t + 6. Let g be k(6). Let v be (-76)/(-18) + (-4)/g. Factor 0 + 0*c - 2/5*c**v - 2/5*c**2 - 4/5*c**3.
-2*c**2*(c + 1)**2/5
Factor -3*a**2 + 24/5*a - 12/5 + 3/5*a**3.
3*(a - 2)**2*(a - 1)/5
Factor 6/5*n**2 + 0*n + 2/5*n**3 + 0.
2*n**2*(n + 3)/5
Let h(n) be the third derivative of n**6/40 - n**5/10 + n**4/8 - 2*n**2. Suppose h(r) = 0. What is r?
0, 1
Suppose 6*j - j = -3*h + 32, 2*h = -j + 12. Let y(q) be the first derivative of -1/2*q**2 - 3 + 5/4*q**h + 3/5*q**5 + 0*q + 1/3*q**3. Factor y(p).
p*(p + 1)**2*(3*p - 1)
Let n(p) be the second derivative of p**7/525 + p**6/300 - p**5/150 - p**4/60 - 7*p**2/2 - p. Let i(b) be the first derivative of n(b). Factor i(o).
2*o*(o - 1)*(o + 1)**2/5
Solve -4/9*l**2 + 2/9*l**4 + 2/9 + 0*l**3 + 0*l = 0.
-1, 1
Let g(j) be the second derivative of j**9/60480 + j**8/26880 - j**4/4 + j. Let q(h) be the third derivative of g(h). Solve q(o) = 0 for o.
-1, 0
Let n(x) = x**3 + 6*x**2 + 4. Let a be n(-6). Let -3*w**3 + 6*w**3 - a*w + w = 0. What is w?
-1, 0, 1
Let y(b) be the third derivative of -b**7/840 + b**6/360 - b**3 - b**2. Let l(t) be the first derivative of y(t). Let l(j) = 0. Calculate j.
0, 1
Let u(w) be the third derivative of w**8/784 + w**7/490 - 3*w**6/280 - w**5/28 - w**4/28 + 38*w**2. What is f in u(f) = 0?
-1, 0, 2
Let q(v) be the third derivative of -2*v**7/105 + v**6/30 + v**5/5 - v**4/6 - 4*v**3/3 - 30*v**2. Determine z so that q(z) = 0.
-1, 1, 2
Let m(x) be the second derivative of -x**4/3 - 2*x**3/3 + 3*x. Let m(a) = 0. Calculate a.
-1, 0
Suppose 16 = q + 5*y, q - 4*y + y = 0. Let w(x) = x - 1. Let v be w(6). Factor v*z - 10*z**3 - z + q*z**2 + 0*z.
-2*z*(z - 1)*(5*z + 2)
Let c be (6 - 3 - 0 - 0) + 2. Let x be 7/1 + 0/(-2). Factor -4*k**2 - k**4 - 7*k - 2 + 2*k**c + 2*k**3 + 2*k**3 + k + x*k**4.
2*(k - 1)*(k + 1)**4
Suppose 93 + 54 = 7*b. Let f be ((-1)/8)/(b/(-56)). Factor 0 + 2/3*z**4 + f*z + 0*z**3 - 1/3*z**5 - 2/3*z**2.
-z*(z - 1)**3*(z + 1)/3
Suppose -2*r = -5*r + 15. Solve 3 - 5 + 4*l**2 - 4*l**r - 3*l**4 + 2*l**3 + 2*l**5 + 1 = 0.
-1, 1/2, 1
Let s(u) be the third derivative of u**7/70 + 3*u**6/40 + u**5/10 - 2*u**2. Factor s(x).
3*x**2*(x + 1)*(x + 2)
Let s be (11 - 5 - 6)*1. Let c be 22/24 - (-2)/(-3). Factor -1/4*j**2 - c*j**3 + s + 0*j.
-j**2*(j + 1)/4
Let p(l) = 4*l**2 - 6*l + 2. Let a(v) = -11*v**2 + 17*v - 6. Suppose 3*k + 6 = 24. Let z(w) = k*a(w) + 17*p(w). Factor z(t).
2*(t - 1)*(t + 1)
Let l = 484/7 - 69. Factor -2/7*c**2 + l*c + 2/7 - 1/7*c**3.
-(c - 1)*(c + 1)*(c + 2)/7
Let u(z) be the third derivative of -5/56*z**8 + 0 + 0*z**5 + 0*z - 19/60*z**6 + 14/45*z**7 + 0*z**3 + 1/9*z**4 - 3*z**2. Let u(f) = 0. What is f?
-2/9, 0, 2/5, 1
Let c = -192 - -194. Determine h, given that 1/2*h**3 + 0 - h**4 + 1/2*h**5 + 0*h**c + 0*h = 0.
0, 1
Let i = 6 - 4. Factor 68 - 68 + r**2 - i*r.
r*(r - 2)
Let g(o) be the second derivative of o**7/21 - 4*o**6/15 + 3*o**5/5 - 2*o**4/3 + o**3/3 + 2*o. Factor g(d).
2*d*(d - 1)**4
Let k be (-50)/(4/(-2)) + 0. Factor -49*w + 5*w**2 - 9 + 17*w + k + 7*w**2.
4*(w - 2)*(3*w - 2)
Let j(t) be the second derivative of -1/2*t**6 - 1/12*t**4 + 0*t**2 + 0*t**3 + 7/20*t**5 + 3/14*t**7 + 9*t + 0. Solve j(w) = 0.
0, 1/3, 1
Let h(b) be the first derivative of b**8/4200 + b**7/1050 - b**5/150 - b**4/60 + b**3/3 - 3. Let i(p) be the third derivative of h(p). Factor i(c).
2*(c - 1)*(c + 1)**3/5
Let z(k) be the first derivative of -k**4/18 - 8*k**3/27 + 11*k**2/9 - 4*k/3 + 15. Find s, given that z(s) = 0.
-6, 1
Let s(g) be the second derivative of -g**8/3360 + g**7/630 - g**6/360 - g**4/4 + 3*g. Let h(b) be the third derivative of s(b). Factor h(y).
-2*y*(y - 1)**2
Let t(p) = p**2 - 4*p + 5. Let s be t(4). Let l be (9/3 - s)/(-1). Factor -2/3*r**3 - 8/3*r**l + 0 - 8/3*r.
-2*r*(r + 2)**2/3
Let q(j) = j**3 - j - 1. Let d = 4 + -2. Let a(m) = 4*m**3 + 4*m**2 - 2. Let t(w) = d*q(w) - a(w). Factor t(n).
-2*n*(n + 1)**2
Let x be (-2 + -1 + 2)/(-10). Let s(d) be the second derivative of -x*d**5 + 0*d**4 - 3*d - 2/15*d**6 + 0 - 1/21*d**7 + 0*d**2 + 0*d**3. Factor s(k).
-2*k**3*(k + 1)**2
Let u(f) = -4*f - 5. Let t be u(-2). What is i in -6*i - 4*i**2 + t*i + 7*i = 0?
0, 1
Suppose -w - 7 = 4*j - 25, 14 = 5*j - 3*w. Let c(b) be the third derivative of 1/300*b**6 - 1/75*b**5 + 0*b**3 + 0*b + 1/60*b**j + 3*b**2 + 0. Factor c(y).
2*y*(y - 1)**2/5
Let g(v) be the second derivative of 9*v**5/20 - 11*v**4/4 + 6*v**3 - 6*v**2 - 7*v. Factor g(h).
3*(h - 2)*(h - 1)*(3*h - 2)
Let a be 40/(-8) + (-3)/(-1). Let m be (-3)/((-12)/8) + a. Let m*d + 0*d**3 + 1/3*d**4 + 0 - 1/3*d**2 = 0. What is d?
-1, 0, 1
Let x be ((0/(-1))/1)/(-3). Factor 1/4*a**2 + 0*a + x.
a**2/4
Let q(x) = -x**3. Let c(w) = -27*w**4 + 45*w**3 + 21*w**2 - 33*w + 6. Let j(f) = -c(f) - 12*q(f). Factor j(k).
3*(k - 1)**2*(k + 1)*(9*k - 2)
Let d(q) = -q**2 + 43*q - 103. Let m(a) = -4*a**2 + 216*a - 516. Let z(b) = 16*d(b) - 3*m(b). Factor z(f).
-4*(f - 5)**2
Let g = 12 + -8. Factor 11*n - n**5 + n**g - 11*n.
-n**4*(n - 1)
Let n(i) be the third derivative of 0*i - 1/20*i**6 + 0 + 1/4*i**4 - 1/2*i**3 + 0*i**5 - 2*i**2 + 1/70*i**7. Factor n(x).
3*(x - 1)**3*(x + 1)
Suppose 2*k = -2*x + 6, -3*k + 6 = 4*x - 2*x. Let d(j) = j**2 + j + 6. Let y be d(k). Factor -2 - y*c**3 + 0*c + c**2 + 5*c + 0*c.
-(c + 1)*(2*c - 1)*(3*c - 2)
Solve 0*d + 0 + 2/7*d**4 - 4/7*d**2 + 2/7*d**3 = 0 for d.
-2, 0, 1
Let o(y) = y**2 - 6*y + 3. Let m be o(5). Let i be m/(-12)*(-16)/(-12). What is q in -2/9*q**2 - 4/9*q + i + 4/9*q**3 = 0?
-1, 1/2, 1
Let l(r) = 6*r**3 + 2*r**4 + 2*r**4 + r**2 - 4*r**2 - 3 - r + 0*r**4. Let i(a) = -5*a**4 - 7*a**3 + 4*a**2 + 4. Let s(d) = 3*i(d) + 4*l(d). Factor s(u).
u*(u - 1)*(u + 2)**2
Let f = -109 + 549/5. Suppose -5*h = -3*l + 2, 5*l - 2 = 3*h + 3*l. Factor 2/5*w**h - f*w + 2/5.
2*(w - 1)**2/5
Let c be 32 + 2 + (-12)/3. Let j = c + -89/3. Suppose 1/3*z**2 - 1/3*z**3 + j*z**5 - 1/3*z**4 + 0*z + 0 = 0. What is z?
-1, 0, 1
Suppose -1 = 2*y - 5. Suppose 1/3*i**y + 0 + 2/3*i = 0. Calculate i.
-2, 0
Let p = -41 - -38. Let h be (p - -3 - -1)*5. Determine j, given that 2/5*j**h - 2/5 + 4/5*j**3 - 6/5*j - 4/5*j**2 + 6/5*j**4 = 0.
-1, 1
Let t(m) be the first derivative of m**5/150 + m**4/30 + m**3/15 + m**2/2 - 5. Let s(b) be the second derivative of t(b). Solve s(f) = 0 for f.
-1
Let l(y) = -y**2 - 1. Let w(n) = -5*n**3 - 6*n**2 + 2*n - 3. Let v(g) = 3*l(g) - w(g). Solve v(x) = 0 for x.
-1, 0, 2/5
Suppose -5*d - 5*y = -15, d - y - 3 + 2 = 0. Let d*n**2 + 2/9 + 4/3*n = 0. Calculate n.
-1/3
Let w(f) = -4*f**4 - 2*f**3 + 4*f**2 - 4*f. Let x(c) = -11*c**4 - 7*c**3 + 13*c**2 - 12*c. Let b(u) = -17*w(u) + 6*x(u). Solve b(h) = 0 for h.
0, 1, 2
Suppose 0 = 5*a + 51 - 11. Let p(b) = -b**2 - 9*b - 4. Let i be p(a). Factor -30*z**2 - 227*z**3 - 49*z**4 - 42*z**2 - 98*z**5 + 9*z**3 - 8*z - 203*z**i.
-2*z*(z + 1)**2*(7*z + 2)**2
Let b(j) = -j - 9. Let v be b