 the third derivative of v(k). Factor m(q).
-q*(q - 2)*(q + 1)/3
Let q = -3 - -6. Suppose 0 = d - 5*w + 18, 0 = -q*d + 2*w + 4 - 6. Factor -5*k**5 + d*k**4 - 4*k**4 + 3*k**5.
-2*k**4*(k + 1)
Suppose 4*z + 3*i = -z + 6, 5*z - 3*i - 24 = 0. Let p be 4 + 2*-3 + z. Factor 0*j**4 + 2*j**3 - j**4 - p + 1 - j**2.
-j**2*(j - 1)**2
Let s(d) be the third derivative of -d**5/60 - d**4/12 + d**2. Let z = 20 + -22. Let l(t) = -2*t**2 - 5*t. Let q(f) = z*l(f) + 5*s(f). Factor q(n).
-n**2
Suppose -3*q = 5*r - 69, -1 = -r + q + 8. Let k = r - 9. Determine p, given that 0*p + 2/3*p**k + 0*p**2 + 4/3*p**4 + 0 + 2/3*p**5 = 0.
-1, 0
Let w = -143 - -145. What is q in 3/2*q**5 - 5/2*q**3 + 0 - 1/2*q**4 + 1/2*q**w + q = 0?
-1, -2/3, 0, 1
Factor 13*h**2 + 9*h**4 + 2*h**2 + h**2 - 50*h**5 + 51*h**4 + 72*h**3.
-2*h**2*(h - 2)*(5*h + 2)**2
Let y = -168 - -171. Let k(x) be the third derivative of 1/100*x**6 - 3*x**2 + 0*x - 4/15*x**y + 0 - 2/15*x**4 - 1/150*x**5. Let k(w) = 0. What is w?
-1, -2/3, 2
Let w(y) be the first derivative of -y**6/18 - 4*y**5/15 - y**4/3 + 17. Factor w(j).
-j**3*(j + 2)**2/3
Let t(l) be the first derivative of 10/27*l**3 + 8/9*l**2 + 8/9*l + 6 + 1/18*l**4. Suppose t(r) = 0. What is r?
-2, -1
Let v be ((-10)/12)/((-300)/80). Factor 4/9*c + v + 2/9*c**2.
2*(c + 1)**2/9
Suppose -5*d - 2 = -7*d. Let b(o) be the first derivative of -3/5*o**2 - 2/5*o**3 - 1/10*o**4 + d - 2/5*o. Find k, given that b(k) = 0.
-1
Let k = -523381864/565 - -926340. Let j = k + -2/113. Factor 2/5*y - 4/5*y**2 + 0 + j*y**3.
2*y*(y - 1)**2/5
Let a(n) = n**3 - n**2 + n + 58. Let g be a(0). Let b = 233/4 - g. Factor b*s**3 - 1/4*s + 0 + 0*s**2.
s*(s - 1)*(s + 1)/4
Let l(r) be the first derivative of r**4/10 + 8*r**3/15 - 4. Let l(g) = 0. What is g?
-4, 0
Let z(s) be the third derivative of s**8/112 + s**7/70 - 8*s**2. Factor z(o).
3*o**4*(o + 1)
Let g(q) be the third derivative of q**7/420 - q**6/400 - 7*q**5/600 + q**4/80 + q**3/30 + 2*q**2. Find f, given that g(f) = 0.
-1, -2/5, 1
Let h = -1558/3 + 520. Determine g so that -h*g**3 + 0 + 0*g + 2/3*g**2 = 0.
0, 1
Let i = -2 - -4. Let d be -6*(-4)/18 - 1. Factor 0 + s**3 + d*s**4 + s**i + 1/3*s.
s*(s + 1)**3/3
Let u(j) = -14*j**2 - j + 2. Let o(d) = 5*d**2 - 1. Let g(x) = 11*o(x) + 4*u(x). Factor g(z).
-(z + 1)*(z + 3)
Let j(k) be the third derivative of -k**6/120 + k**5/15 - k**4/8 - 6*k**2. Determine n so that j(n) = 0.
0, 1, 3
Let d(r) be the first derivative of -2*r**5/5 - r**4 + 2*r**2 + 2*r + 9. Solve d(l) = 0 for l.
-1, 1
Let g(y) be the first derivative of -1/3*y**3 - 2/5*y**5 - 5/6*y**4 - y + 0*y**2 - 2. Let h(o) be the first derivative of g(o). Factor h(d).
-2*d*(d + 1)*(4*d + 1)
Suppose 2 = 5*t - 8. Factor -6*d**2 + 6*d**t - 9*d**2 + 3*d**3 + 12.
3*(d - 2)**2*(d + 1)
Let b(g) be the third derivative of 1/10*g**5 - 1/60*g**6 + 0 + 0*g + 1/3*g**3 - 3*g**2 - 1/4*g**4. Find m such that b(m) = 0.
1
Suppose -11 = -4*x + 5. Solve -u**3 - 6*u**2 + x*u - 2*u**4 + 2*u**3 + 5*u**3 - 2*u = 0 for u.
0, 1
Let c(n) be the third derivative of 0*n + 2/105*n**7 + 0 + 1/240*n**6 + 0*n**4 + 0*n**3 + 5/672*n**8 - 3*n**2 - 1/60*n**5. Solve c(s) = 0.
-1, 0, 2/5
Let m be -4*1*12/(-8). Let s(h) = -h**2 + h + 1. Let l(x) = x**4 + 2*x**3 - 7*x**2 + 4*x + 6. Let y(o) = m*s(o) - l(o). What is a in y(a) = 0?
-2, -1, 0, 1
Suppose 2*i = 4*m - 14, 2*i + 21 = 4*i + 3*m. Suppose i*d = -b - 0*b - 3, -5*b - d = -13. Determine n, given that 2/9*n**b + 2/3*n**2 + 2/3*n + 2/9 = 0.
-1
Let x = -304 + 304. Factor 4/5*c**3 + x*c - 2/5*c**4 + 0 - 2/5*c**2.
-2*c**2*(c - 1)**2/5
Let j = 73 + -69. Let z(g) be the third derivative of 0*g**j - 1/10*g**5 + 4/3*g**3 + 0 + 1/60*g**6 + 0*g + 2*g**2. What is l in z(l) = 0?
-1, 2
Let p = -6 - -4. Let j be ((-3)/9)/(p/18). Solve 2*s - 5*s**j + 0*s + 1 - s**4 + 3*s**3 = 0.
-1, 1
Let q(v) be the third derivative of -v**8/1120 + v**7/180 - v**6/72 + v**5/60 + v**4/12 + 2*v**2. Let i(d) be the second derivative of q(d). Solve i(j) = 0.
1/3, 1
Let h be (-1)/(-3)*12/1. Let b(p) = p**2 - 2*p - 4. Let r be b(h). Find y, given that 2*y**2 + 5*y**4 - r*y**2 + 1 - 4*y**4 = 0.
-1, 1
Let l be (-3 + 129/45)/(21/(-35)). Let l*m**2 + 0 - 2/9*m = 0. Calculate m.
0, 1
Let r be (-11)/22 + 3/6. Let y(a) be the first derivative of 1/14*a**4 - 4/21*a**3 + 1 + r*a**2 + 0*a. Suppose y(j) = 0. Calculate j.
0, 2
Suppose -6 = -3*d + 6. Let m(k) be the second derivative of 0 + 3*k + 0*k**2 - 2/9*k**3 - 1/18*k**d. Factor m(p).
-2*p*(p + 2)/3
Let f(c) be the second derivative of c**3/3 + c**2 - 6*c. Let j be f(1). What is m in 1/4*m**j + 0*m + 1/4*m**3 + 0 - 1/4*m**2 - 1/4*m**5 = 0?
-1, 0, 1
Suppose -5 = 4*w - 13. Let b(r) be the first derivative of 0*r**w + 2/3*r**3 + 1/2*r**4 + 0*r + 1. Let b(m) = 0. What is m?
-1, 0
Let y = -2081239822/10465 - -2585376/13. Let g = -2/115 - y. Suppose 8/7*f**2 + 2/7*f + 0 + 12/7*f**3 + 2/7*f**5 + g*f**4 = 0. Calculate f.
-1, 0
Let r(q) = -2*q**2 - q + 2. Let s be r(-2). Let c be (s - -4) + (-2)/(-9). Factor 2/9*t**3 + c + 2/3*t + 2/3*t**2.
2*(t + 1)**3/9
Let a be (72/(-84))/(3/(-14)). Let m be (-12 + 13)/(1/a). Factor 1/3*c**3 + 1/3*c**m + 0*c**2 + 0 + 0*c.
c**3*(c + 1)/3
Find y such that -16*y + 4*y**3 - 18*y + 34*y - y**2 = 0.
0, 1/4
Let u(l) be the third derivative of l**5/12 + 35*l**4/24 - 74*l**2. Factor u(p).
5*p*(p + 7)
Let p(v) be the first derivative of 4*v**3 - 44*v**2 + 28*v + 2. Solve p(w) = 0 for w.
1/3, 7
Let n(j) = 9*j - 330. Let c be n(37). Find r such that -2/5*r**5 + 2/5*r**4 + 0*r + 0 + 4/5*r**c + 0*r**2 = 0.
-1, 0, 2
Let r(w) be the third derivative of 0*w + 0*w**6 - 1/1155*w**7 - 1/1848*w**8 + 0*w**3 + 0 + 0*w**5 - 5*w**2 + 0*w**4. Let r(d) = 0. What is d?
-1, 0
Suppose i + 0*i = 2. Let g be 9/4 - 18/9. Solve 1/2*t + g + 1/4*t**i = 0 for t.
-1
Let t(q) be the third derivative of q**5/24 - 5*q**4/24 - 10*q**3/3 + 12*q**2. Find h, given that t(h) = 0.
-2, 4
Factor -4 - 4*d + 11*d**4 - 2*d**4 + 2*d**4 + 27*d**2 - 26*d**3 - 4*d**4.
(d - 2)*(d - 1)**2*(7*d + 2)
Let p(g) = 2*g - 20. Let c be p(10). Factor -2/5 + c*b + 2/5*b**2.
2*(b - 1)*(b + 1)/5
Let m(d) be the second derivative of d**8/448 - d**7/140 + d**5/40 - d**4/32 + d**2/2 + 9*d. Let j(n) be the first derivative of m(n). Factor j(p).
3*p*(p - 1)**3*(p + 1)/4
Let t(r) = -3*r**3 + 17*r**2 + 5*r + 8. Let l be t(6). Let 0 + 6/5*p**3 + 2/5*p**l - 2/5*p**4 - 6/5*p**5 + 0*p = 0. Calculate p.
-1, -1/3, 0, 1
Let l = 7 + -3. Suppose 3*v = b, 0*v = -l*b + 3*v. Factor -u**3 + b*u**2 + 0*u**4 + 2*u**4 - 2*u**2 + u**5.
u**2*(u - 1)*(u + 1)*(u + 2)
Let p be (-12)/45 + (-30)/(-50). Let s(c) be the second derivative of -2/9*c**3 + p*c**2 + 0 + 1/18*c**4 + c. Find b such that s(b) = 0.
1
Let y(i) = -i**3 + 48*i**2 + 47*i + 100. Let f be y(49). Determine s so that -9/2 - 15/4*s - 21/4*s**3 - 15/4*s**4 + 69/4*s**f = 0.
-3, -2/5, 1
Factor 65*l + 5*l**3 - 73*l**2 + 72*l**2 + 1 + 41*l**2 + 29.
5*(l + 1)**2*(l + 6)
Let l(n) be the second derivative of n**8/840 + n**7/210 + n**6/180 + n**3/6 - 2*n. Let c(g) be the second derivative of l(g). Factor c(k).
2*k**2*(k + 1)**2
Let u(r) be the first derivative of -r**6/1800 + r**5/150 - r**4/30 - r**3/3 - 1. Let q(w) be the third derivative of u(w). Factor q(v).
-(v - 2)**2/5
Let q(t) be the third derivative of 0*t**3 + 1/3*t**4 - 3/10*t**6 - 1/96*t**8 + 2/21*t**7 + 0 - 4*t**2 + 4/15*t**5 + 0*t. Factor q(p).
-p*(p - 2)**3*(7*p + 2)/2
Let k be (6/(-15))/((-2)/10). Let -3*m + m**k + 3*m**2 - m**3 - m + 0*m**2 = 0. What is m?
0, 2
Let l = -1 - -3. Factor -15*a**2 - 22*a**2 - 4*a**3 + 4*a + 7*a**3 + 29*a**l.
a*(a - 2)*(3*a - 2)
Suppose u - 20 = 2*c - 7*c, -u + 4*c - 16 = 0. Find r, given that 0 + 2/3*r + u*r**3 - 1/3*r**4 + r**2 = 0.
-1, 0, 2
Let x(y) be the first derivative of y**7/1960 + y**6/280 + 3*y**5/280 + y**4/56 + 2*y**3/3 - 4. Let u(f) be the third derivative of x(f). Factor u(v).
3*(v + 1)**3/7
Let y(o) be the second derivative of -2*o**6/15 + 9*o**5/20 - o**4/2 + o**3/6 + 3*o. Factor y(d).
-d*(d - 1)**2*(4*d - 1)
Let r = -25 + 25. Let m(c) be the second derivative of 0*c**4 + 1/3*c**3 + 0 + r*c**2 - 1/10*c**5 + c. Factor m(o).
-2*o*(o - 1)*(o + 1)
Let i(w) be the second derivative of 5*w + 3/2*w**3 - 1/4*w**4 - 3*w**2 + 0. Suppose i(n) = 0. What is n?
1, 2
Suppose 0 = 3*x - 5*x + 12. Let z(t) be the second deriva