rivative of -1/105*t**7 + 0*t**3 + 0 + 1/30*t**6 + 4*t**v - 1/30*t**5 + 0*t**4 + 0*t. Factor p(a).
-2*a**2*(a - 1)**2
Solve -3/7*w**2 + 0 + 3/7*w**4 - 3/7*w**3 + 3/7*w = 0.
-1, 0, 1
Let k(m) = m**4 + m**3 + m**2 - m + 1. Let b(s) = 12*s**5 - 22*s**4 - 3*s**3 + 6*s**2 + s - 3. Let q(g) = -b(g) - 3*k(g). What is o in q(o) = 0?
-2/3, 0, 1/4, 1
Let q = -1415/12 + 118. Let a(j) be the first derivative of 0*j**2 - 4 - q*j**4 + 1/9*j**3 + 0*j. Find u such that a(u) = 0.
0, 1
Factor -1/6*w**3 + 5/6*w + 1/2 + 1/6*w**2.
-(w - 3)*(w + 1)**2/6
Let r(s) = s**2 + s + 1. Let l(p) = 4*p**2 + 4*p + 3. Suppose -3*m - 2*z - 1 - 4 = 0, -5*z = 5*m + 15. Let k(a) = m*l(a) - 3*r(a). Let k(f) = 0. Calculate f.
-1, 0
Let l be (1 - -1)*(4 + -2). Let i(c) be the first derivative of 1/5*c**5 - 1/3*c**3 + 0*c**l + 0*c**2 + 1 + 0*c. Determine m, given that i(m) = 0.
-1, 0, 1
Factor -2 - 295*o**2 + 291*o**2 + 6.
-4*(o - 1)*(o + 1)
Let p = -92/3 - -31. Let h be ((-4)/(-7))/((-66)/(-77)). Find j, given that -1/3*j**4 - 1/6*j + p*j**3 - 1/3 - 1/6*j**5 + h*j**2 = 0.
-2, -1, 1
Suppose 0 = -5*w + 1 + 9. Suppose -3*i - 2*n = -9, 5*i + 3*n = w + 13. Factor 3*b - 2*b - 3*b**i + 3*b**2 + b**4 - 2*b.
b*(b - 1)**3
Let c(y) be the second derivative of -y**7/840 + y**6/240 - y**4/48 + y**3/24 + y**2 + y. Let z(t) be the first derivative of c(t). Find g, given that z(g) = 0.
-1, 1
Suppose -4*z - 350 = -370. Factor 2/3*i - 4/9*i**3 + 4/9*i**2 + 2/9 - 2/3*i**4 - 2/9*i**z.
-2*(i - 1)*(i + 1)**4/9
Find z, given that 4/3*z**3 - 2/3*z**5 - 2/3*z + 4/3*z**4 + 4/3 - 8/3*z**2 = 0.
-1, 1, 2
Factor 0 + 2/3*m**3 - 4/3*m**2 + 0*m.
2*m**2*(m - 2)/3
Let r = 3401/7 + -485. Let -2/7*d**3 + 0 - r*d**2 - 4/7*d = 0. Calculate d.
-2, -1, 0
Let t be 1 - 1 - (14 - 16). Factor -4/5*d + 2/5*d**t + 0.
2*d*(d - 2)/5
Let f(m) be the second derivative of m**7/735 + m**6/140 + m**5/70 + m**4/84 + m**2/2 - m. Let h(y) be the first derivative of f(y). Factor h(x).
2*x*(x + 1)**3/7
Let q(w) = -5*w**2 - 7. Suppose 0*x - 30 = 5*x. Let b(y) = y**2 + 1. Let j(c) = x*b(c) - q(c). Factor j(l).
-(l - 1)*(l + 1)
Let d(g) = -26*g**2 - 8*g - 6. Let u(t) = -21*t**2 - 2*t - 5 - 6*t - 4*t**2 + 0*t. Let r(j) = -5*d(j) + 6*u(j). Let r(h) = 0. Calculate h.
-2/5, 0
Factor -2/5*f**2 + 0 + 2/5*f.
-2*f*(f - 1)/5
Let f = 112 + -67. Let j be (-16)/(-72) + (-1)/f. Factor 4/5 + j*l**2 - 4/5*l.
(l - 2)**2/5
Let z be 8/6*6*2/8. Determine v so that -3/5*v**4 + 3/5*v**z - 1/5*v + v**3 + 0 - 4/5*v**5 = 0.
-1, 0, 1/4, 1
Let s(c) = c**3 - 3*c**2 - 3*c - 4. Let z be s(4). Suppose 0*n = -5*n. Factor z + 1/4*y**4 + 0*y**3 - 1/4*y**2 + n*y.
y**2*(y - 1)*(y + 1)/4
Let r(x) = -2*x**2 - 12*x. Let f be r(-6). Let j be 7/21*0/(-1). Factor j*v - 1/4*v**2 + f.
-v**2/4
Let t(k) be the third derivative of -k**8/84 - k**7/15 - k**6/12 + k**5/6 + 7*k**4/12 + 2*k**3/3 + 8*k**2. Determine h so that t(h) = 0.
-2, -1, -1/2, 1
Factor -2*l + 4*l**2 + 1/4.
(4*l - 1)**2/4
Suppose 0 = 3*y + 4*j - 2, -y - 5*j + 2 = -3*j. Let p(q) = q + 1. Let l(c) = 2*c**2 + 4*c + 2. Let w(d) = y*p(d) + l(d). Find v such that w(v) = 0.
-1, 0
Let s(d) = d**2 + 4*d + 5. Let g be s(-4). Suppose -g = -5*x, 0 = o + 5*x - 4 - 2. Factor w**3 + w**3 + 0*w**5 - 4*w**3 - w**5 + 2*w**2 + 3*w + o - 3*w**4.
-(w - 1)*(w + 1)**4
Let z(i) be the third derivative of -i**7/280 + i**5/80 + 2*i**2 + 31*i. What is j in z(j) = 0?
-1, 0, 1
Let k**3 + 6*k - 2*k**4 - 2*k**4 + 2*k**2 + 2 - 4*k**3 - 3*k**3 = 0. Calculate k.
-1, -1/2, 1
Let t(l) be the third derivative of -l**6/360 + 13*l**5/180 - 35*l**4/72 - 49*l**3/18 + 34*l**2. Factor t(a).
-(a - 7)**2*(a + 1)/3
Let b(n) be the third derivative of -n**8/336 - n**7/105 + n**5/30 + n**4/24 - 19*n**2. Factor b(x).
-x*(x - 1)*(x + 1)**3
Let p(l) = -7*l**2 + 2. Let k(y) = 2*y + 2. Let z be k(-6). Let s(i) = -i**2. Let b(u) = z*s(u) + 2*p(u). Factor b(d).
-4*(d - 1)*(d + 1)
Let h(t) = t**2 + 5*t - 4. Let a be h(4). Let g be a/(-28)*14/(-4). Solve 2*i**3 + 4/5*i**2 - 4/5*i**g + 0*i - 2*i**5 + 0 = 0 for i.
-1, -2/5, 0, 1
Let o = 4601/25 - 184. Let p(q) be the first derivative of -1/10*q**2 + 0*q + 1/20*q**4 - 2 + o*q**5 - 1/15*q**3. Determine j so that p(j) = 0.
-1, 0, 1
Let b(s) be the first derivative of s**4/9 + 8*s**3/27 - 2*s**2/9 - 8*s/9 - 36. Find h, given that b(h) = 0.
-2, -1, 1
Suppose 2*u - 3*u = -3. Determine w so that w**u - 2*w - 3*w + 3*w + 2*w**2 - 2*w**4 + w**3 = 0.
-1, 0, 1
Let k(s) be the second derivative of s**6/80 + 9*s**5/160 + s**4/32 - 3*s**3/16 - 3*s**2/8 + 7*s. Solve k(t) = 0 for t.
-2, -1, 1
Let v(g) be the second derivative of -g**5/140 + 3*g**4/56 - 5*g**2/2 - g. Let p(s) be the first derivative of v(s). Suppose p(n) = 0. What is n?
0, 3
Let h be 2 - (-20)/(-2 - 0). Let j(w) = -w - 5. Let q be j(h). Factor 2/7*d**q + 4/7 + 8/7*d**2 + 10/7*d.
2*(d + 1)**2*(d + 2)/7
Let u be 2 - 4*(-3 - 3). Let r be 48/(-12) - u/(-4). What is h in -r*h - 1 - 1/2*h**3 - 2*h**2 = 0?
-2, -1
Let v(o) = 7*o**3 + 3*o**2 - 11. Let x = -18 + 40. Let w(a) = -2*a**3 - a**2 + 3. Let u(q) = x*w(q) + 6*v(q). Determine m, given that u(m) = 0.
-2, 0
Let w = -126 - -130. Factor o**5 + 5/2*o**2 + 5*o**3 + 0*o - 1/4 + 15/4*o**w.
(o + 1)**4*(4*o - 1)/4
Let c(r) be the first derivative of r**4/4 - r**3 - 9*r**2/2 + 7*r + 8. Let q(o) be the first derivative of c(o). Factor q(n).
3*(n - 3)*(n + 1)
Suppose -35 = 4*j + j. Let z be (-4)/(-21) + (-1)/j. Factor 0*v - 1/3 + z*v**2.
(v - 1)*(v + 1)/3
Let u be 64/48*(-9)/(-4). Find o, given that -7/2*o**5 + 0*o + 0 + 0*o**2 + 9/2*o**4 - o**u = 0.
0, 2/7, 1
Factor 8/7*m**3 + 0*m + 0 - 6/7*m**2 - 2/7*m**4.
-2*m**2*(m - 3)*(m - 1)/7
Let v = -3 + 5. Suppose 8 = 5*r - 2*f, -r + 6 = -2*f - v. Let 1/4*h**4 + r + 0*h + 0*h**3 - 1/4*h**2 = 0. What is h?
-1, 0, 1
Let k(d) be the third derivative of -d**8/23520 - d**7/8820 - d**4/24 + 4*d**2. Let g(i) be the second derivative of k(i). Factor g(w).
-2*w**2*(w + 1)/7
Let z(j) be the second derivative of -j**5/30 - j**4/6 - j**3/3 - j**2/3 - 3*j. Let z(s) = 0. What is s?
-1
Let j = 9/25 + -2/75. Suppose -2/3*q**2 - 1/3*q**3 - j*q + 0 = 0. What is q?
-1, 0
Let c(d) = d. Let w(l) = -l**3 - l**2 + l - 1. Let s(g) = -c(g) + w(g). Let a(y) = -y**3 - 6*y**2 + 5*y - 4. Let q(x) = -3*a(x) + 6*s(x). Solve q(p) = 0 for p.
1, 2
Suppose 0 = q - 8 + 6. Solve 20*r**2 + 2*r - 18*r**2 - 2*r - q*r = 0 for r.
0, 1
Let k = 30 - -22. Suppose -k*x = -53*x. Determine o so that 2/3*o**5 + x + 0*o + 2/3*o**4 - 2/3*o**3 - 2/3*o**2 = 0.
-1, 0, 1
Let n = 1271/1110 + 4/185. Let b(d) be the second derivative of -1/4*d**5 + 0 + 3/4*d**4 + d**2 + d - n*d**3 + 1/30*d**6. Factor b(w).
(w - 2)*(w - 1)**3
Let o(h) = h**2 + 8*h + 6. Let m be o(-6). Let d = m + 8. Suppose v**d - 4*v + 4*v - v = 0. Calculate v.
0, 1
Let z(w) = 3*w**3 + 3*w**2 + w - 1. Let x(h) = 4*h**3 + 4*h**2 + 2*h - 1. Let f(p) = -2*x(p) + 3*z(p). Factor f(k).
(k - 1)*(k + 1)**2
Let p(o) be the third derivative of -o**7/21 - 13*o**6/60 - 2*o**5/15 + o**4/3 + o**2. Factor p(s).
-2*s*(s + 1)*(s + 2)*(5*s - 2)
Let l(s) = -16*s - 14. Let d be l(-1). Solve 1/2*g**d + 0 + 0*g = 0.
0
Let w(r) be the second derivative of r**5/4 - 25*r**4/12 + 35*r**3/6 - 15*r**2/2 + r. Suppose w(h) = 0. What is h?
1, 3
Let z(k) be the first derivative of 4*k**3/3 - 8*k**2 + 16*k - 10. Factor z(x).
4*(x - 2)**2
Factor 7*b**2 - b**2 - 2*b**2 - 6*b**2 + b**3 + 2*b**4 - b.
b*(b - 1)*(b + 1)*(2*b + 1)
Factor 4/9*s**2 + 0*s - 2/9 - 2/9*s**4 + 0*s**3.
-2*(s - 1)**2*(s + 1)**2/9
Let x(c) be the second derivative of -c**7/21 + c**5/5 - c**3/3 - 2*c + 6. Factor x(z).
-2*z*(z - 1)**2*(z + 1)**2
Let x(y) = -2*y**3 + 4*y**2 + 3*y + 5. Let j(w) = w**3 - 2*w**2 - 2*w - 3. Let s(q) = -5*j(q) - 3*x(q). Factor s(v).
v*(v - 1)**2
Let i be (1 - (1 + 0))/3*-1. Determine f, given that 1/4*f - f**5 + i + 3/4*f**3 + 5/4*f**4 - 5/4*f**2 = 0.
-1, 0, 1/4, 1
Let q be 4 + 1 + 30/12. Let 2*h**5 + 0*h - 1/2 + q*h**4 + 10*h**3 + 5*h**2 = 0. Calculate h.
-1, 1/4
Let k = -26 + 38. Let r be 3*(-4)/(-6) - -3. Factor 3*v**3 + k*v + 18*v**2 + 4 - 2 + r*v**3.
2*(v + 1)**2*(4*v + 1)
Find r, given that -2/5*r**4 + 2/5*r**2 - 2/5*r**3 + 0 + 2/5*r = 0.
-1, 0, 1
Let r = -9 + 11. Find q, given that 0*q + q**2 - r*q + q**3 + 0*q = 0.
-2, 0, 1
Let u(z) be the first derivative of z**7/280 + z**6/120 + z**5/180 - 7*z**3/3 - 1. Let a(k) be th