 + 0*v + 0 + 1/112*v**8 - 2*v**2 + 1/70*v**7 + 0*v**3 + 0*v**5 + 0*v**4. Solve b(u) = 0 for u.
-1, 0
Let h(m) be the first derivative of 1/2*m**4 - m**2 + 3 + 1/5*m**5 - m + 0*m**3. Suppose h(x) = 0. What is x?
-1, 1
Let k(p) = p**3 - p**2 - 1. Let w(d) = -35*d**3 + 45*d**2 - 10*d + 30. Let z(q) = -30*k(q) - w(q). Factor z(b).
5*b*(b - 2)*(b - 1)
Let f(u) be the first derivative of u**4/2 - 22*u**3/3 + 24*u**2 + 72*u - 17. Factor f(a).
2*(a - 6)**2*(a + 1)
Let z be -6*1*1/3. Let l be 0/(-7) - 4/z. Find k, given that -1/2*k + 0 - 1/2*k**4 + 1/2*k**l + 1/2*k**3 = 0.
-1, 0, 1
Let q(v) = 15*v**2 - 4*v + 5. Let t(y) = 46*y**2 - 12*y + 16. Suppose 0*f + 150 = 5*f. Let u be 24/(-5)*f/9. Let n(c) = u*q(c) + 5*t(c). Factor n(i).
-2*i*(5*i - 2)
Let o(q) be the second derivative of 1/21*q**3 + q + 4/105*q**6 + 2/21*q**4 + 1/147*q**7 + 0 + 0*q**2 + 3/35*q**5. Factor o(n).
2*n*(n + 1)**4/7
Let r = -11/477 - 75311/2385. Let y = r - -32. Factor -6/5*t + y*t**2 + 4/5.
2*(t - 2)*(t - 1)/5
Factor 1/4*c**3 + 11/4*c**2 - 9 + 6*c.
(c - 1)*(c + 6)**2/4
Find r such that 12/7 + 2/7*r**3 + 2/7*r - 8/7*r**2 = 0.
-1, 2, 3
Let x(m) be the second derivative of m**6/240 - 3*m**5/80 + m**4/8 - m**3/3 - 2*m. Let g(c) be the second derivative of x(c). Suppose g(d) = 0. What is d?
1, 2
Let n be (2/6)/(18/(-621)). Let i = n + 71/6. What is b in 0*b + 1/3*b**3 - i*b**2 + 0 = 0?
0, 1
Let r be (-6 + 156/18)*4/48. Factor 4/3*s**3 + r*s**5 + 0 - 8/9*s**4 + 2/9*s - 8/9*s**2.
2*s*(s - 1)**4/9
Let h(c) be the first derivative of 2*c**3/57 - 3*c**2/19 + 4*c/19 - 18. Factor h(v).
2*(v - 2)*(v - 1)/19
Let c = -2 + 3. Let h(j) = -j**2 + 1. Let y(p) = 9*p**2 + 4*p + 4 - p**2 - 2*p**2. Let s(a) = c*y(a) - 4*h(a). Suppose s(o) = 0. Calculate o.
-2/5, 0
Let x(q) be the first derivative of 3 - 6*q - 3/5*q**5 - 15/4*q**4 - 9*q**3 - 21/2*q**2. Factor x(a).
-3*(a + 1)**3*(a + 2)
Let c(n) = -n**3 - 2*n**2 - 1. Let f(z) = -z**3 - z - 1. Let t(k) = c(k) - 2*f(k). Let l be t(2). Factor l*a**2 - 2*a**5 - 5*a**2.
-2*a**5
Let y(j) = 15*j**4 + 13*j**3 + 3*j**2 + 13*j + 21. Let z(r) = -7*r**4 - 6*r**3 - r**2 - 6*r - 10. Let l(u) = 6*y(u) + 13*z(u). Suppose l(f) = 0. What is f?
-2, -1, 1, 2
Let y(r) be the second derivative of r**8/47040 - r**7/8820 - r**6/5040 + r**5/420 + r**4/4 - r. Let s(f) be the third derivative of y(f). Solve s(b) = 0 for b.
-1, 1, 2
Let w = 189213 - 1318447/7. Let l = -862 + w. Let 10/7*n**2 + 0 - l*n**4 - 4/7*n + 4/7*n**3 = 0. Calculate n.
-1, 0, 2/5, 1
Suppose 0*o - o = -2*q - 9, -3*q - 18 = -3*o. Factor 15/7*h**2 - 12/7*h**o - 3/7*h + 0.
-3*h*(h - 1)*(4*h - 1)/7
Let n be 2/((32/12)/4). Factor j**4 - 7*j**n - 3*j**2 - 2*j**3 - 4*j**4 + 3*j**3.
-3*j**2*(j + 1)**2
Let i be 24/30*(6 - 1). Suppose -i*q + 2*q = 0. What is d in -2/9*d**3 + q + 0*d - 2/9*d**2 = 0?
-1, 0
Let z be 12/(-9)*((-135)/(-12))/(-5). Suppose 9/4*r**5 - 3*r**4 + z*r**2 + 0 - 3/4*r - 3/2*r**3 = 0. What is r?
-1, 0, 1/3, 1
Let b(q) = -3*q**2 + 19*q - 21. Let c(i) = -i**2 + 9*i - 11. Let y(p) = -3*b(p) + 5*c(p). Find o such that y(o) = 0.
1, 2
Let r(y) be the third derivative of 2*y**2 + 1/90*y**5 + 1/1008*y**8 + 1/72*y**4 - 1/180*y**6 - 1/18*y**3 + 0 + 0*y - 1/630*y**7. Find q such that r(q) = 0.
-1, 1
Suppose -4*t - 4*u = -4, t + 6 = 5*t + 3*u. Let 3/5*b**4 - 2/5 + 11/5*b**2 + 11/5*b**t + 1/5*b = 0. What is b?
-2, -1, 1/3
Let u(h) be the first derivative of 5*h**4/12 + 7*h**3/9 - 4*h**2/3 - 4*h/3 + 6. Determine s so that u(s) = 0.
-2, -2/5, 1
Let i be 8/36 - (-168)/(-27). Let s be i/21 - (-48)/70. Find z such that 0 + s*z - 2/5*z**3 + 6/5*z**2 - 6/5*z**4 = 0.
-1, -1/3, 0, 1
Let j(b) be the third derivative of b**8/840 + b**7/240 - b**6/360 - b**3/6 + 7*b**2. Let a(q) be the first derivative of j(q). Factor a(o).
o**2*(o + 2)*(4*o - 1)/2
Let j(o) = -39*o**4 + 24*o**3 + 19*o**2 + 4*o - 4. Let b(s) = 235*s**4 - 145*s**3 - 115*s**2 - 25*s + 25. Let t(l) = 4*b(l) + 25*j(l). Solve t(f) = 0 for f.
-3/7, 0, 1
Factor 34*b**2 - 18*b**3 + 26*b + b**2 + 5*b**5 - 16*b + 25*b**4 + 63*b**3.
5*b*(b + 1)**3*(b + 2)
Let c(s) be the third derivative of 0*s + 0*s**7 + 0*s**3 + 0 + 0*s**5 + s**2 + 0*s**6 + 1/84*s**8 + 0*s**4. Factor c(x).
4*x**5
Let m be 92/(-230) - ((-376)/210)/4. Let t(v) be the first derivative of -1/7*v**4 + 1/7*v**2 + 0*v**3 + 3 + 0*v + m*v**6 + 0*v**5. Find k, given that t(k) = 0.
-1, 0, 1
Let s(x) be the second derivative of -x**6/45 + x**4/6 + 2*x**3/9 + 7*x. Factor s(v).
-2*v*(v - 2)*(v + 1)**2/3
Let q(i) = i + 12. Let a be q(-10). Suppose 2 - m**3 + 23*m + 2*m**3 + 4*m**a - 18*m = 0. Calculate m.
-2, -1
Let u(g) be the first derivative of -g**6/2 - 12*g**5/5 + 14*g**3 + 51*g**2/2 + 18*g - 17. Factor u(d).
-3*(d - 2)*(d + 1)**3*(d + 3)
Let z(j) = j**2. Let b be z(0). Let m(w) be the first derivative of b*w - 3 + 2/3*w**3 + 2/3*w**4 - 1/3*w**2. Determine s, given that m(s) = 0.
-1, 0, 1/4
Let g(y) = y**3 - 1. Let z(k) = 10*k**3 + k**2 - 9. Suppose -3*t - 52 = -160. Let m(a) = t*g(a) - 4*z(a). Solve m(r) = 0.
-1, 0
Solve -105*l**4 + 21*l**3 - 24 - 6*l**2 - 108*l + 180*l**3 + 42*l**3 = 0.
-2/5, -2/7, 1, 2
Let i(j) = -j + 2. Let x be i(5). Let m be x/(-6) + (-1)/2. Factor 2/3*z**2 + 1/3*z + 1/3*z**3 + m.
z*(z + 1)**2/3
Let x(m) be the first derivative of 15*m**4/4 + 5*m**3/3 - 15*m**2/2 - 5*m + 11. Determine t so that x(t) = 0.
-1, -1/3, 1
Let n(y) be the first derivative of -2*y**6/3 - 8*y**5/25 + 16. Factor n(l).
-4*l**4*(5*l + 2)/5
Factor -j - 4*j - 5*j + j - 12*j**2.
-3*j*(4*j + 3)
Suppose -4 - 5 = 2*p - 5*d, d = 4*p - 9. Let r be (-3 + (-2 - -2))*-1. Factor -h**5 + 5*h**p - h**3 + h - 2*h - 2*h**r.
-h*(h - 1)**2*(h + 1)**2
Let h = 76 + -74. Let q(f) be the first derivative of -h*f**3 - 2/15*f**5 + 1 - 4/3*f + 7/3*f**2 + 5/6*f**4. Factor q(o).
-2*(o - 2)*(o - 1)**3/3
Let s(p) be the third derivative of -p**8/168 + p**7/105 + p**6/30 - p**5/15 - p**4/12 + p**3/3 - 7*p**2. Suppose s(v) = 0. Calculate v.
-1, 1
Solve -4/3*z**3 + 48*z**4 + 64/3*z**5 - 2/3 + 7*z - 61/3*z**2 = 0 for z.
-2, -1, 1/4
Let r(v) be the first derivative of 2*v**3/3 + 8*v**2 + 32*v + 27. Factor r(t).
2*(t + 4)**2
Let 8/3*y**3 + 4/3*y**4 - 8/3*y + 0 - 4/3*y**2 = 0. What is y?
-2, -1, 0, 1
Suppose -2*n + 13 + 1 = 0. Let g(y) be the third derivative of 0*y**4 + 2*y**2 + 0*y**6 + 0*y**3 - 1/525*y**n + 1/150*y**5 + 0*y + 0. Let g(m) = 0. Calculate m.
-1, 0, 1
Suppose -4*y = 2 - 18. Factor -5*n**2 - n**2 + 8*n**3 + 3*n**3 - 2*n**3 - 3*n**y.
-3*n**2*(n - 2)*(n - 1)
Let s(y) be the first derivative of y**4/32 + 5*y**3/24 - 13*y**2/16 + 7*y/8 + 16. Find d such that s(d) = 0.
-7, 1
Factor 6/5 + 12/5*a**2 + 0*a**3 - 2/5*a**4 + 16/5*a.
-2*(a - 3)*(a + 1)**3/5
Let b(t) be the third derivative of t**5/510 - 3*t**4/34 + 27*t**3/17 - 39*t**2. Determine p, given that b(p) = 0.
9
Let q(p) be the third derivative of -5*p**8/1344 + p**6/96 + 27*p**2. Solve q(a) = 0.
-1, 0, 1
Let n(r) = -r**2 - 10*r - 2. Let a be n(-10). Let k be -13*a/5 + -4. Suppose -2/5*w**2 + k - 4/5*w = 0. What is w?
-3, 1
Let p be 4/6 - 14/(-6). Factor k**3 - 6*k**4 - p*k**3 + 7*k**2 + 2*k + 7*k**2 - 8*k**2.
-2*k*(k - 1)*(k + 1)*(3*k + 1)
Factor 4/3*o**4 + 2/3*o**5 - 2/3*o + 0 - 4/3*o**2 + 0*o**3.
2*o*(o - 1)*(o + 1)**3/3
Let s(x) be the second derivative of x**4/6 + 5*x**3/3 + 4*x**2 + 11*x. Determine t, given that s(t) = 0.
-4, -1
Let t(y) = y - 4. Let v be t(4). Let k be ((-6)/(-4) + v)*2. Suppose 3*s**2 + 3*s - 2*s + 3*s**3 - s**k = 0. Calculate s.
-1, -1/2, 0
Let o(t) be the first derivative of -t**6/21 - 16*t**5/35 - 11*t**4/7 - 16*t**3/7 - 9*t**2/7 - 13. Factor o(z).
-2*z*(z + 1)**2*(z + 3)**2/7
Let c(w) be the second derivative of 1/10*w**5 + 2/3*w**4 + 0 + 0*w**2 + 4/3*w**3 - 6*w. Factor c(d).
2*d*(d + 2)**2
Find t such that -32*t - 5*t**2 - 10 + 20*t + 27*t = 0.
1, 2
Suppose 0*c + 8 = -4*c, -5*c - 20 = -2*t. Let a(w) be the second derivative of -w + 1/16*w**4 + 1/4*w**2 - 5/24*w**3 + 1/80*w**t + 0 - 1/120*w**6. Factor a(u).
-(u - 1)**3*(u + 2)/4
Let b(j) be the second derivative of j**6/55 - 7*j**5/55 + 19*j**4/66 - 4*j**3/33 - 4*j**2/11 + 20*j. Find m, given that b(m) = 0.
-1/3, 1, 2
Suppose 0 = -4*u + 20 - 8. Let x(n) be the second derivative of -1/5*n**u + 0 + 1/5*n**2 - 2/15*n**4 - 3*n. Determine m, given that x(m) = 0.
-1, 1/4
Let p = -23/2 - -71/6. Factor -p*t**3 + t**2