6*m**3 - 1/48*m**6 + 0 + 0*m - 1/420*m**7 + 3*m**2. Factor v(r).
-(r + 1)**3*(r + 2)/2
Let z be 12/(-42)*(2 - (-26)/(-6)). Factor -z*h**2 - 2*h**3 + 4/3*h + 0.
-2*h*(h + 1)*(3*h - 2)/3
Let o(t) = -2*t**2 + 17*t - 18. Let c(v) = -v**2 + 8*v - 9. Let y(p) = -10*c(p) + 4*o(p). Suppose y(a) = 0. Calculate a.
3
Let a(b) be the first derivative of -b**4/48 - b**3/24 - 2*b - 1. Let v(x) be the first derivative of a(x). Let v(o) = 0. What is o?
-1, 0
Let l(o) be the third derivative of o**8/112 - o**7/14 + o**6/5 - o**5/5 - 2*o**2. Factor l(d).
3*d**2*(d - 2)**2*(d - 1)
Let r = -1/18 - -23/90. What is l in r*l**2 - 2/5*l**3 + 1/5*l**4 + 0*l + 0 = 0?
0, 1
Suppose 0 + 33 = z. Let j be 110/z - 2/6. Factor -2/11*f + 2/11*f**j + 0 + 0*f**2.
2*f*(f - 1)*(f + 1)/11
Let s(u) = -70*u**4 + 2*u**3 + 60*u**2 - 12*u. Let j(l) = -23*l**4 + l**3 + 20*l**2 - 4*l. Let a(o) = 10*j(o) - 3*s(o). Solve a(y) = 0 for y.
-1, 0, 1/5, 1
Determine z, given that -2/3*z**2 + 0*z + 0 + 2/3*z**3 = 0.
0, 1
Let u(y) = -y**2 + 6*y - 3. Let a be u(5). Suppose a*i + 7 = 15. Determine t so that -2/11*t**3 - 2/11*t**i + 0*t + 4/11*t**2 + 0 = 0.
-2, 0, 1
Let i(q) be the third derivative of q**5/100 + q**4/8 - 22*q**2. Solve i(m) = 0.
-5, 0
Let t(d) = d**2 + 5*d - 2. Let f(v) = 6*v - 3. Let j(i) = -4*f(i) + 3*t(i). Factor j(u).
3*(u - 2)*(u - 1)
Let z be (1 - (-21)/(-15))*5/(-4). Factor 1/2*m**2 - m + z.
(m - 1)**2/2
Solve 0*t**2 + 1/4*t + 0 - 1/4*t**3 = 0.
-1, 0, 1
Let l be ((-60)/25)/((-8)/10). Factor 4/7*n + 0*n**l - 6/7*n**2 + 2/7*n**4 + 0.
2*n*(n - 1)**2*(n + 2)/7
Let x(s) be the first derivative of -2*s**3/15 + 3*s**2/5 + 1. Factor x(c).
-2*c*(c - 3)/5
Let z(f) be the second derivative of f**6/10 + 3*f**5/5 + 5*f**4/4 + f**3 + 48*f. Solve z(u) = 0.
-2, -1, 0
Let r(a) be the third derivative of a**8/448 - a**7/56 + 7*a**6/160 + a**5/80 - a**4/4 + a**3/2 + a**2. Let r(q) = 0. Calculate q.
-1, 1, 2
Let c = 7/3 + -5/3. Let a(n) = -n**3 - 5*n**2 - 2*n - 6. Let q be a(-5). Factor -4/3*l**3 - 4/3*l**2 + 2*l**q - 2/3 + 2*l - c*l**5.
-2*(l - 1)**4*(l + 1)/3
Let s(d) be the second derivative of -5*d**4/3 - 14*d**3/3 - 4*d**2 + 12*d. Find x, given that s(x) = 0.
-1, -2/5
Let p(y) be the first derivative of -y**5/15 + 7*y**4/36 - y**3/9 - y**2/6 - 3*y - 2. Let x(l) be the first derivative of p(l). Find u, given that x(u) = 0.
-1/4, 1
Let w(f) be the third derivative of f**6/120 + f**5/30 + f**4/24 - 2*f**2. Determine l so that w(l) = 0.
-1, 0
Let r(v) be the third derivative of v**7/1155 - v**6/660 - v**5/330 + v**4/132 + 14*v**2. Find m such that r(m) = 0.
-1, 0, 1
Let a(l) be the third derivative of 0 + 1/560*l**8 + 7*l**2 - 1/50*l**5 + 2/175*l**7 + 1/50*l**6 + 0*l - 1/8*l**4 - 1/5*l**3. Factor a(o).
3*(o - 1)*(o + 1)**3*(o + 2)/5
Suppose 0 = -3*w - 2*w + 10. Factor -4*t**3 - 12*t**2 + 4*t**2 - 10*t - w - 2 + 2*t**3.
-2*(t + 1)**2*(t + 2)
Let w(x) = -x + 19. Let y be w(17). Factor -22*d**2 + 2*d**5 - 6*d**3 - y*d**4 + 32*d**2 - 6*d + 2*d.
2*d*(d - 1)**3*(d + 2)
Solve 4/5*b**3 + 2/5*b**4 - 2/5 + 0*b**2 - 4/5*b = 0.
-1, 1
Let z(q) be the first derivative of q**3/8 + 3*q**2/16 - 17. Factor z(u).
3*u*(u + 1)/8
Let v(q) = -3*q. Let o be v(-1). Let k(l) be the first derivative of -2 + 1/5*l - 1/15*l**o + 0*l**2. Let k(n) = 0. What is n?
-1, 1
Let i(y) be the third derivative of y**7/10080 - y**6/1440 + y**5/480 - y**4/8 + 2*y**2. Let x(f) be the second derivative of i(f). Factor x(u).
(u - 1)**2/4
Let v(d) be the first derivative of 2*d**5/35 - d**4/14 - 2*d**3/7 + d**2/7 + 4*d/7 + 9. Suppose v(s) = 0. Calculate s.
-1, 1, 2
Suppose -2*a = 5*z - 1, -5*a - 12 = -4*z - a. Let c = 3 - z. Suppose 4*r**2 - c*r**2 + 2*r - 4*r**2 = 0. Calculate r.
0, 1
Let x(g) be the third derivative of 1/20*g**5 + 0*g**3 + 0 + 1/10*g**6 + 0*g + 5*g**2 + 0*g**4 + 2/35*g**7. Factor x(i).
3*i**2*(2*i + 1)**2
Solve 10*u**2 - 14*u**2 + 16 - 4*u + 4*u**3 - 12 = 0 for u.
-1, 1
Let m(q) be the second derivative of -1/8*q**4 - q**2 + 4*q + 0 + 2/3*q**3. Determine v, given that m(v) = 0.
2/3, 2
Let t(h) = -17*h**2 + 102*h + 4. Let d be t(6). Let 9/2*l**2 - 3/4 - 3/8*l**3 - 3/2*l**d - 15/8*l = 0. Calculate l.
-2, -1/4, 1
Let n(h) be the third derivative of h**6/30 + 3*h**5/5 + 4*h**4 + 32*h**3/3 + 8*h**2. Factor n(q).
4*(q + 1)*(q + 4)**2
Let v be -2 - ((-16)/2)/2. Factor 3*o**2 + 4*o**3 + o**2 - 3*o**3 - 3*o**v.
o**2*(o + 1)
Let k(f) be the third derivative of -f**8/1008 - 4*f**7/945 - f**6/270 + f**5/90 + 7*f**4/216 + f**3/27 - 4*f**2. Determine u, given that k(u) = 0.
-1, -2/3, 1
Suppose 4 - 8 = -2*g. Let y(q) be the second derivative of -1/10*q**g + 0 - 1/60*q**4 + q + 1/15*q**3. Factor y(p).
-(p - 1)**2/5
Let o(a) = -a**2 + 11*a + 15. Let h be o(12). Factor -u**4 + 2*u**3 - 2 + 2 - u - 5*u**3 - h*u**2.
-u*(u + 1)**3
Suppose 7*r = -r + 16. Factor 1/4*s + 1/4*s**4 - 1/4*s**3 - 1/4*s**r + 0.
s*(s - 1)**2*(s + 1)/4
Suppose 0 = 2*c - 4*m - 6, c = 6*c - m - 6. Factor -4*f + c + 4*f**3 + 4*f**2 + 0 - 5.
4*(f - 1)*(f + 1)**2
Factor 5*b**2 - b**4 + 7*b + b - 3*b**4 + 7*b**2.
-4*b*(b - 2)*(b + 1)**2
Let n(g) be the second derivative of -2/3*g**3 - 1/15*g**6 - 4*g + 0*g**4 + g**2 + 1/5*g**5 + 0. Determine j so that n(j) = 0.
-1, 1
Let p(o) be the third derivative of -o**7/2520 + o**6/1080 + o**5/180 + 5*o**3/6 - 6*o**2. Let n(i) be the first derivative of p(i). Factor n(l).
-l*(l - 2)*(l + 1)/3
Let u = 11 + -65/6. Let q(d) be the second derivative of -d + 0*d**2 + 0*d**6 - 1/42*d**7 - u*d**3 + 0*d**4 + 0 + 1/10*d**5. Let q(p) = 0. What is p?
-1, 0, 1
Let t(g) be the second derivative of g**5/210 - 2*g**4/63 + 18*g. Suppose t(m) = 0. What is m?
0, 4
Let f(u) = -3*u**4 - 15*u**3 + 3*u**2 + 3*u. Let r(a) = a**4 + 6*a**3 - a**2 - a. Let o(n) = 5*f(n) + 12*r(n). Factor o(h).
-3*h*(h - 1)*(h + 1)**2
Suppose -2*q + 6*q - 16 = 0. Suppose -5*u = -q*u. Let -n**3 + u*n + 11/2*n**4 - 9/2*n**5 + 0*n**2 + 0 = 0. Calculate n.
0, 2/9, 1
Let r(y) be the third derivative of 0 + 0*y - 8*y**2 + 7/90*y**6 - 31/90*y**5 - 2/3*y**3 - 31/36*y**4. Suppose r(p) = 0. What is p?
-1/2, -2/7, 3
What is x in -14*x**5 + 72*x**4 + 31*x + 14*x - 6 - 66*x**2 - 12*x**3 - 19*x**5 = 0?
-1, 2/11, 1
Let i(h) be the second derivative of 0*h**2 + 1/3*h**3 + 1/6*h**4 + 0 + 2*h. Solve i(u) = 0.
-1, 0
Let o(a) = 4*a**2 + 0 + 4 - 4. Let g be o(-1). What is t in 4 - 2 + g*t + 2*t**2 + 0*t = 0?
-1
Let q(t) be the third derivative of t**8/20160 + t**7/7560 - t**6/2160 - t**5/360 + t**4/24 - 3*t**2. Let b(o) be the second derivative of q(o). Factor b(k).
(k - 1)*(k + 1)**2/3
Let l = -2/19 - -23/38. Let k be (20/50)/(16/30). Determine o, given that -2*o**2 - l - 7/4*o - k*o**3 = 0.
-1, -2/3
Let b(i) be the first derivative of 2*i**5/5 + 15*i**4/7 + 24*i**3/7 + 8*i**2/7 + 5. Factor b(d).
2*d*(d + 2)**2*(7*d + 2)/7
Factor 15/4*r + 3/4*r**2 + 3.
3*(r + 1)*(r + 4)/4
Let s(w) = -w - 16. Let c be s(-16). Let i(k) be the third derivative of 0*k - 1/72*k**4 + c + 0*k**3 + k**2 + 1/180*k**5. Suppose i(v) = 0. What is v?
0, 1
Let o be (-31)/2 - (-4)/(-8). Let h be (-36)/o + 6/8. Factor -2*w**5 - 2*w + w**h + 2*w**3 + w**3.
-2*w*(w - 1)**2*(w + 1)**2
Let l(q) = -17*q + 2. Let b be l(-4). Let z be (2/5)/(7/b). Factor -3/2*x**3 + x**2 - 1/4*x**5 - 1/4*x + x**z + 0.
-x*(x - 1)**4/4
Let z be (-16)/(-4) + 1 + -10. Let v be (-9)/(-10) + 2/z. Factor -v*f**3 + 0*f - 3/2*f**2 + 0.
-f**2*(f + 3)/2
Let n = 3 + -12. Let h be (-4)/(-6) - 6/n. Let h + 4/3*b + 1/3*b**2 = 0. Calculate b.
-2
Let b(v) be the second derivative of -v**7/483 - v**6/115 - v**5/115 - 4*v - 1. Factor b(z).
-2*z**3*(z + 1)*(z + 2)/23
Let u be (-6)/45 + (1 - 4/6). Let t be 2*(0/1 - -1). Determine k, given that 1/5*k - u*k**t + 0 = 0.
0, 1
Let d(h) be the third derivative of h**6/600 - h**4/40 + h**3/15 + 13*h**2. Suppose d(q) = 0. What is q?
-2, 1
Let t(q) be the third derivative of -q**7/1470 - 5*q**2. Solve t(j) = 0 for j.
0
Let r(j) be the first derivative of 0*j - 2/5*j**3 + 1/10*j**6 + 9 + 3/4*j**4 - 12/25*j**5 + 0*j**2. Factor r(d).
3*d**2*(d - 2)*(d - 1)**2/5
Let a(r) = -r**2. Let i(o) = -18*o**2 + 54*o - 243. Let p(l) = -15*a(l) + i(l). Factor p(b).
-3*(b - 9)**2
Factor -2/7*t**3 + 10/7*t - 6/7 - 2/7*t**2.
-2*(t - 1)**2*(t + 3)/7
Suppose 10 = 9*p - 4*p. Suppose -5*l - 34 = -3*q, -4 = -p*q - q - l. Factor 32*r - 49/3*r**4 - 16/3 - 