ative of o(l). Factor x(f).
-2*f**2*(f - 2)
Let q(d) = 2*d**3 + 6*d**2 + d + 2. Let y(v) = -v**3 - 3*v**2 - 1. Let h(o) = -6*q(o) - 10*y(o). Suppose h(l) = 0. What is l?
-1
Let d(t) be the third derivative of -t**9/40320 + t**8/13440 + 7*t**5/60 - 6*t**2. Let h(b) be the third derivative of d(b). Factor h(q).
-3*q**2*(q - 1)/2
Let a(c) be the second derivative of -1/60*c**5 + 0*c**3 + 0*c**4 - 2/63*c**7 - 1/18*c**6 + 0*c**2 - 3*c + 0. Solve a(w) = 0.
-1, -1/4, 0
Let x be ((-8)/24)/(1/(-12)). Suppose -2*h - 8 = -x*h. Factor 0*y + 0 - 1/5*y**3 + 1/5*y**h - 1/5*y**2 + 1/5*y**5.
y**2*(y - 1)*(y + 1)**2/5
Suppose 17 = 5*p - p - s, -4*p + 3*s = -27. Let d = p + -3. Factor 2/3*q**3 + 2/3*q - 4/3*q**2 + d.
2*q*(q - 1)**2/3
Let d(z) be the first derivative of 3*z**4/8 - 3*z**3 + 9*z**2 - 12*z + 7. Find i such that d(i) = 0.
2
Let s(b) be the third derivative of b**6/15 + b**5/15 - 5*b**4/6 + 4*b**3/3 - 17*b**2. Find z such that s(z) = 0.
-2, 1/2, 1
Suppose 3*d = 9, 11 = b + 5*d - 4. Suppose b*j - 5*j = -25. What is o in 0*o + 16/3*o**4 - 2*o**j + 4/3*o**2 - 14/3*o**3 + 0 = 0?
0, 2/3, 1
Factor 2/3 - 2/3*t**2 + 0*t.
-2*(t - 1)*(t + 1)/3
Determine q, given that 70*q**4 - 9 + 2 - 25*q**5 - 4*q + 28*q**2 + 7 - 69*q**3 = 0.
0, 2/5, 1
Let b = 58/105 - 4/15. Factor 0 - 2/7*m**5 + 6/7*m**3 + b*m**4 + 4/7*m - 10/7*m**2.
-2*m*(m - 1)**3*(m + 2)/7
Let -14*q + 19*q**2 - 1 - 31*q**2 - 3 = 0. What is q?
-2/3, -1/2
Find h, given that 3/2 + 243/2*h**4 + 69*h**2 + 24*h - 216*h**3 = 0.
-1/9, 1
Suppose -i = -6 + 4. Factor 2/11*u**3 + 0*u + 2/11*u**i + 0.
2*u**2*(u + 1)/11
Let c be (-4 - 20)*(-6)/(-8). Let g be 4/c + 42/27. Factor 2*j**3 + 2/3*j**2 - g*j + 0.
2*j*(j + 1)*(3*j - 2)/3
Let x(b) be the third derivative of 0*b**4 - 1/180*b**5 + 1/1260*b**7 + 0 - b**2 + 0*b + 0*b**6 + 1/36*b**3. Determine p so that x(p) = 0.
-1, 1
Let p be 2/9 - 4/18. Suppose -8*n + 9*n = 0. Factor -1/2*k**2 + p - 1/2*k**4 - k**3 + n*k.
-k**2*(k + 1)**2/2
Let s be (-74)/(-148) + (1 - (-3)/(-2)). Let n = -5199/11 - -473. Factor s*y**2 - 2/11*y**4 + 4/11*y - n*y**3 + 2/11.
-2*(y - 1)*(y + 1)**3/11
Let i(u) = -u**2 - 2*u. Let q(t) = 130*t + 980. Let y(c) = 5*i(c) - q(c). Determine g, given that y(g) = 0.
-14
Let b(p) be the first derivative of p**6/1440 + p**5/240 - 7*p**3/3 + 7. Let v(a) be the third derivative of b(a). Solve v(z) = 0 for z.
-2, 0
Let q be -1 - 1 - 10408/(-3808). Let n = q + 2/119. Factor -3/2*t + 0 - n*t**2.
-3*t*(t + 2)/4
Let m**4 - 2*m**2 + 0*m**4 + 4*m**4 - 3*m**2 = 0. Calculate m.
-1, 0, 1
Find u, given that 10/3*u**3 + 1/3*u**5 + 1/3 + 5/3*u + 10/3*u**2 + 5/3*u**4 = 0.
-1
Let o be 63/182 + (-2)/(-13). Let h(z) be the first derivative of 2/3*z**3 - 1 + 0*z + 1/4*z**4 + o*z**2. Solve h(c) = 0 for c.
-1, 0
Let j = -164 + 166. Solve -9/2*m**4 + 3*m + 0 + 9/2*m**j - 3/2*m**5 - 3/2*m**3 = 0.
-2, -1, 0, 1
Let l(g) = -g**4 - g**3 + 4*g**2 + 4*g + 3. Let s(q) = -q**4 - q**3 + 3*q**2 + 3*q + 2. Let t(j) = -2*l(j) + 3*s(j). Factor t(b).
-b*(b - 1)*(b + 1)**2
Factor 1/3*u**4 - 2/9*u**2 - 1/9 - 4/9*u**3 + 4/9*u.
(u - 1)**2*(u + 1)*(3*u - 1)/9
Let q(n) be the third derivative of 5*n**8/336 - n**7/42 - n**6/12 + n**5/6 + 5*n**4/24 - 5*n**3/6 - 3*n**2. Find a such that q(a) = 0.
-1, 1
Let 2/5*z**2 + 2/5*z - 4/5 = 0. Calculate z.
-2, 1
Let j(v) be the first derivative of 2*v**5/15 - v**4/3 + 2*v**3/9 + 6. Determine x so that j(x) = 0.
0, 1
Suppose 1 + 2*q**2 + 5/2*q + 1/2*q**3 = 0. Calculate q.
-2, -1
Let l(i) be the third derivative of 9*i**2 + 0 + 0*i - 1/30*i**5 + 0*i**3 + 1/105*i**7 + 0*i**4 - 1/168*i**8 + 1/60*i**6. Solve l(u) = 0 for u.
-1, 0, 1
Let q be (-2)/2 + 3 + -2. Factor 3*c**3 - 3/2*c**4 + 0*c**2 + q + 0*c.
-3*c**3*(c - 2)/2
Let c(y) = -2*y - 5*y**2 + 4 - 2*y**2 - 2*y + 1. Let p(q) = -3*q**2 - 2*q + 2. Let l(b) = 2*c(b) - 5*p(b). Solve l(u) = 0.
-2, 0
Let o(y) = -y**2 - 2*y + 2. Let i be o(-3). Let k = i - -6. Factor z**4 + 4*z**3 - 6*z + 2*z**5 - 2*z**4 + 2 - k*z**4 + 4*z**2.
2*(z - 1)**4*(z + 1)
Let j(z) be the second derivative of 0 - 2*z + 1/50*z**5 + 0*z**2 + 1/15*z**3 + 1/15*z**4. Factor j(u).
2*u*(u + 1)**2/5
Suppose -5*y + 25 = 0, 0 = b + 4*y - 8 - 16. Suppose -l - 2*l + 18 = 5*g, 17 = b*g + 5*l. Factor 7*u**2 - 2*u**g - 5*u**2 - 2 + 0*u + 2*u.
-2*(u - 1)**2*(u + 1)
Find k, given that 3 - 25*k + 25*k**3 + 144*k**2 - 20*k**4 - 129*k**2 + 2 = 0.
-1, 1/4, 1
Determine p so that -24*p**4 - 19/2*p**2 - 4 - 100*p**3 + 25*p = 0.
-4, -2/3, 1/4
Suppose 3*u - 4*n + 5*n - 4 = 0, -5*n = 5*u. Factor 7/4*q**u - 4*q + 1.
(q - 2)*(7*q - 2)/4
Let u(r) be the second derivative of -r**6/180 - r**5/40 - r**4/72 + r**3/12 + r**2/6 - r. Suppose u(s) = 0. What is s?
-2, -1, 1
Let g(f) be the second derivative of 0*f**2 + 3/20*f**5 + 0*f**3 - 1/30*f**6 - 1/6*f**4 + 5*f + 0. Let g(a) = 0. Calculate a.
0, 1, 2
Let c(g) be the second derivative of g**7/231 - g**5/110 - 9*g. Factor c(b).
2*b**3*(b - 1)*(b + 1)/11
Let k(r) be the third derivative of r**6/280 - r**5/70 - r**4/56 + r**3/7 - 8*r**2. Determine o so that k(o) = 0.
-1, 1, 2
Suppose -n + 1/4 + 3/4*n**2 = 0. Calculate n.
1/3, 1
Let z(j) be the first derivative of 0*j**3 - 3/2*j**4 + 3*j**2 + 3/5*j**5 - 3*j - 6. Factor z(k).
3*(k - 1)**3*(k + 1)
Solve -3*o**2 + 3*o**4 - 3*o**3 + 6*o**3 - 2*o - o = 0.
-1, 0, 1
Let o(i) = i**2 + 2*i - 1. Let v be o(1). Factor 0 - 1/4*u + 1/4*u**4 - 1/4*u**v + 1/4*u**3.
u*(u - 1)*(u + 1)**2/4
Let v(i) = -5*i**3 + 7*i**2 + 10*i - 4. Let a(x) = -4*x**3 + 6*x**2 + 9*x - 4. Let n(b) = 2*a(b) - 3*v(b). Factor n(k).
(k - 2)*(k + 1)*(7*k - 2)
Find k, given that 2/5*k**5 - 2/5 - 2*k**4 + 4*k**3 - 4*k**2 + 2*k = 0.
1
Let k(g) = -13*g**2 + g + 5. Let q(r) = 7*r**2 - r - 2. Let j(c) = 4*k(c) + 7*q(c). Let j(i) = 0. Calculate i.
-2, 1
Find b, given that 73*b**2 + 7 - 15*b**4 - 9*b**5 + 12*b**5 + 120*b + 2*b**2 - 15*b**3 + 41 = 0.
-1, 4
Let a be (-1)/(-5) - 69/420. Let r = a - -3/14. Let r*d**2 + 1 + d = 0. What is d?
-2
Let z(d) = -2*d - 6. Let y be z(-4). Suppose 8 = 4*x - 2*g, -y*x + 2*g = -x - 2. Factor 3*c**4 + 2*c**2 + 7*c**2 - 9*c**x + 6*c**3.
3*c**3*(c + 2)
Let c(i) be the second derivative of i**6/240 + 3*i**5/40 + 9*i**4/16 + 5*i**3/6 - 2*i. Let d(v) be the second derivative of c(v). Suppose d(t) = 0. What is t?
-3
Let x(z) be the first derivative of 2*z**5/5 + 3*z**4/2 + 2*z**3 + z**2 - 68. Find w such that x(w) = 0.
-1, 0
Let 6 + 21*r - 7*r - r**2 - 9*r = 0. Calculate r.
-1, 6
Let -2*v**2 + 2 - 2*v**2 + 2 = 0. Calculate v.
-1, 1
Let i(a) be the second derivative of a**6/50 - 3*a**5/100 - 3*a**4/20 + a**3/2 - 3*a**2/5 - 15*a. Factor i(t).
3*(t - 1)**3*(t + 2)/5
Let h be 35/14*-1*12/(-10). Let k(j) be the second derivative of -4/5*j**2 + 0 - 1/30*j**4 + 4/15*j**h + 2*j. Suppose k(b) = 0. What is b?
2
Find j, given that -5*j**2 - 5*j + 3 - 10 + 12 + 5*j**3 = 0.
-1, 1
Suppose 0 = 4*u + 3*g - 8, -4*u + 5*u - 4*g = 2. Let w(i) be the first derivative of i - 1/2*i**u + 2 + 1/12*i**3. Factor w(q).
(q - 2)**2/4
Let m(x) be the second derivative of x**7/70 - x**6/10 + 27*x**5/100 - 7*x**4/20 + x**3/5 + 9*x. Determine o, given that m(o) = 0.
0, 1, 2
Let p(b) be the second derivative of 4*b**7/273 - 7*b**6/195 - b**5/65 + 4*b**4/39 - 2*b**3/39 - b**2/13 + 29*b. Find f such that p(f) = 0.
-1, -1/4, 1
Let z(q) be the first derivative of q**4/2 + 3*q**3 + 6*q**2 + 4*q - 13. Solve z(r) = 0.
-2, -1/2
Let d(l) be the third derivative of l**5/120 - l**4/12 - 2*l**2. Let d(f) = 0. What is f?
0, 4
Let q(s) be the second derivative of -5*s**8/336 - s**7/210 + 3*s**2/2 + 2*s. Let i(x) be the first derivative of q(x). Determine v, given that i(v) = 0.
-1/5, 0
Let r = 27 + -12. Solve 3*t**3 - 6 + 4*t**4 - r*t + 0*t**4 - 9*t**2 - t**4 = 0.
-1, 2
Factor -8*p - 27*p**2 + p**2 - 14*p**4 - 30*p**3 + 0*p - 2*p**5.
-2*p*(p + 1)**3*(p + 4)
Let p be -4 - -7 - 0 - 3. Factor 0*n - 2/5*n**2 + p.
-2*n**2/5
Suppose 204 - 172 = 16*a. Let 2/3*v**a - 4/9*v - 2/9*v**3 + 0 = 0. Calculate v.
0, 1, 2
Suppose -4*m + 4*l + 12 = 0, -6*m - 4*l + 28 = -2*m. Suppose -5 = -4*u + 5*v, -3*u - 5*v = -0*u + m. Factor 0 - 2/9*s**4 - 2/9*s**3 + 0*s**2 + u*s.
-2*s**3*(s + 1)/9
Factor 1 + 7*c + 13 - 27*c + 6 + 5*c**2.
5*(c - 2)**2
Let c(p) = -p**2 - p - 1. Let q(d) be the third derivative of 2*d**5/15 + 7*d**4/12 + 2*d**3 - 3*d**2. Let u(s) = -6*c(s) - q(s). Factor u