 29*o**3 + 5*o**2 - 14*o - 2. Let d(g) = 57*g**3 + 9*g**2 - 27*g - 5. Let q(v) = b*a(v) + 6*d(v). Let q(s) = 0. Calculate s.
-1, 2/7, 2/5
Let h(c) be the second derivative of 9*c**5/100 - c**4/30 - 3*c**3/10 + c**2/5 + 14*c. Factor h(w).
(w - 1)*(w + 1)*(9*w - 2)/5
Let p(r) be the first derivative of 3*r**5/5 + 3*r**4/4 - r**3 - 3*r**2/2 - 4. Factor p(h).
3*h*(h - 1)*(h + 1)**2
Factor -15*s - 6 + 2 + 2*s**2 - 8*s**2 + s.
-2*(s + 2)*(3*s + 1)
Let i(h) = -h**3 - 4*h**2 + 2*h - 3. Let j(a) = 5*a**3 + 16*a**2 - 8*a + 13. Let y(f) = -26*i(f) - 6*j(f). Suppose y(l) = 0. What is l?
0, 1
Factor 0*o**3 + 0*o - 2/3*o**4 - 2/3*o**5 + 0*o**2 + 0.
-2*o**4*(o + 1)/3
Let m(o) = -o**3 + 8*o**2 - 6*o - 6. Let u be m(7). Let k(f) be the first derivative of 8/21*f**3 + 2/7*f + u - 5/7*f**2. Find h such that k(h) = 0.
1/4, 1
Let w(c) = 4*c**2 + c - 5. Let v(d) = 4*d**2 - 4. Let p(u) = -5*v(u) + 4*w(u). Let p(l) = 0. What is l?
0, 1
Let s(r) be the first derivative of -9*r**5/100 + 3*r**4/20 - r**3/10 - 3*r**2/2 + 2. Let y(t) be the second derivative of s(t). Factor y(l).
-3*(3*l - 1)**2/5
Let t(w) be the third derivative of -w**7/525 - w**6/50 - 13*w**5/150 - w**4/5 - 4*w**3/15 + 9*w**2. Suppose t(m) = 0. What is m?
-2, -1
Solve -15*y**3 + 4*y - 30 + 30 + 16*y + 5*y**4 = 0.
-1, 0, 2
Suppose 0 = -0*c + 4*c. Let o be c/(2/(-2) + 3). Let 1/2*j + 4*j**3 - 7/4*j**4 + o - 11/4*j**2 = 0. What is j?
0, 2/7, 1
Let k(n) = -n + 8. Let y be k(8). Suppose -2*j + 7*j = y. Factor -1/6*q**2 + 0*q**3 + 1/6*q**4 + j + 0*q.
q**2*(q - 1)*(q + 1)/6
Let q(x) be the second derivative of 0*x**4 + 0 - 1/120*x**6 - 3*x - 1/12*x**3 + 1/8*x**2 + 1/40*x**5. Factor q(d).
-(d - 1)**3*(d + 1)/4
Let a be (-9 + 3)/(3/(-2)). Suppose -l = -0*l - 30. Let -l*n**2 - 4*n - 48*n**3 - 20*n**3 - 10*n**a - 32*n**4 = 0. What is n?
-1, -1/3, -2/7, 0
Suppose -4*d - 9 = -d + 5*q, 15 = 3*d - 3*q. Suppose d = -i + 2*i. Factor 18*m + 81/2*m**2 + i.
(9*m + 2)**2/2
Let i(p) be the first derivative of -1/12*p**3 + 9 + 0*p - 1/8*p**2. Solve i(c) = 0 for c.
-1, 0
Let b be 22/30 + (-10)/(-15) - 1. Solve -2/5*q**2 + b*q + 0 = 0.
0, 1
Let p = 6 + -4. Suppose p*x = 6*x - 8. Factor -1/3*b**3 - 4/3 - 8/3*b - 5/3*b**x.
-(b + 1)*(b + 2)**2/3
Find d such that -12*d - 10*d**3 + 36 + 5*d**3 - 20*d**2 + d**3 = 0.
-3, 1
Factor -12*m + 3*m**2 - 5*m**2 - 2*m**2 - 8 + 0*m**2.
-4*(m + 1)*(m + 2)
Let o = 2 + -2. Let g be (3*-1)/12 - 3616/(-1152). Solve 0 + 2/9*j - g*j**3 + o*j**2 - 8/3*j**4 = 0.
-1, -1/3, 0, 1/4
Suppose -h + 0*h = -2. Factor 4 + 3*i**3 - 4*i**3 - 6 + h*i**3 - i + 2*i**2.
(i - 1)*(i + 1)*(i + 2)
Let h be (-24)/(-135) - (-6)/27. Suppose -h*z**4 - 2/5*z - 6/5*z**3 + 0 - 6/5*z**2 = 0. What is z?
-1, 0
Let p be (0*2/4)/2. Factor -3*h**2 + 0*h**2 - 2*h + 2*h**2 + h**3 + p*h**3.
h*(h - 2)*(h + 1)
Let k(o) = -2*o**4 + 8*o**4 - 4 - 2*o**5 + 4*o**3 - 4*o**5. Let s(p) = -5*p**5 + 5*p**4 + 3*p**3 - 3. Let j(v) = 3*k(v) - 4*s(v). What is i in j(i) = 0?
0, 1
Let x(h) = -18*h**4 + 13*h**3 + 18*h**2 - 13*h. Let q(g) = -6*g**4 + 4*g**3 + 6*g**2 - 4*g. Let l(p) = -7*q(p) + 2*x(p). Factor l(u).
2*u*(u - 1)*(u + 1)*(3*u - 1)
Let k = 20 - 18. Factor 0*z - 1/6*z**4 + 0*z**3 + 0 + 1/6*z**k.
-z**2*(z - 1)*(z + 1)/6
Factor -3/4*z**2 + 3*z - 9/4.
-3*(z - 3)*(z - 1)/4
Let g = -116 + 119. Let p(v) be the first derivative of -2*v - 1/3*v**3 - 3/2*v**2 - g. Let p(d) = 0. Calculate d.
-2, -1
Let x(f) be the third derivative of -1/20*f**5 + f**2 + 1/2*f**3 + 0 + 0*f**4 + 0*f. Let x(b) = 0. Calculate b.
-1, 1
Let j be (-2)/(-9) - (-496)/(-18). Let l = -27 - j. Factor g + l + g**2 + 1/3*g**3.
(g + 1)**3/3
Suppose 3*f + 2*f = v + 16, 3*v + f = 16. Suppose 0 = v*r - 0*r - 12. Determine q, given that 0*q + 2/9*q**4 - 4/9*q**2 + 2/9 + 0*q**r = 0.
-1, 1
Suppose -l + 0*r = r - 2, -l + r = -12. Suppose 1 - l = -2*c. Let -a + 9*a**5 - 2*a - 8*a**2 - a + 18*a**4 + 5*a**c = 0. Calculate a.
-1, -2/3, 0, 2/3
Let l(f) = 6*f**3 + 2*f - 2. Let v(q) = q**4 + q**3 + q**2 + q - 1. Let k(m) = 2*l(m) - 4*v(m). Determine c so that k(c) = 0.
0, 1
Suppose 6*c - 33 + 21 = 0. Factor 2/5 + 8/5*q**3 + 12/5*q**c + 2/5*q**4 + 8/5*q.
2*(q + 1)**4/5
Suppose 7*k - f - 1 = 9*k, -2*k = -f - 9. Factor 2/5*i**3 + 0*i**k - 2/5*i + 1/5 - 1/5*i**4.
-(i - 1)**3*(i + 1)/5
Let b(x) = x**2 - 11*x. Suppose -22 = -4*r + 2*r. Let q be b(r). Factor 1/2*y**4 - y**3 - 1/2 + q*y**2 + y.
(y - 1)**3*(y + 1)/2
Let x(a) be the first derivative of -3 + 1/2*a**2 + 0*a + 1/3*a**3. Factor x(y).
y*(y + 1)
Let w be (2 + 3/(-1))*0. Factor g**2 - 4*g**2 - 2 + g**3 + 6 + w.
(g - 2)**2*(g + 1)
Let i(d) be the second derivative of 0*d**3 + 0 + 0*d**2 + 0*d**4 - 2/15*d**6 - 3*d - 1/10*d**5 - 1/21*d**7. Factor i(p).
-2*p**3*(p + 1)**2
Let z(p) = 6*p - 26. Let n(j) = -j + 5. Let c(l) = -11*n(l) - 2*z(l). Let o be c(-5). Factor -5*k + o*k**3 - 2*k**2 + 3 + 3*k - 1.
2*(k - 1)**2*(k + 1)
Let g(m) be the third derivative of -1/120*m**5 + 0*m + 0*m**3 + 0 - 9*m**2 + 0*m**4. Factor g(p).
-p**2/2
Let s(l) be the third derivative of 1/3*l**3 - l**2 + 1/120*l**6 + 5/24*l**4 + 0*l + 0 + 1/15*l**5. Factor s(r).
(r + 1)**2*(r + 2)
Factor 2/15*u**2 - 4/5*u + 2/3.
2*(u - 5)*(u - 1)/15
Let z = 73 + -71. Suppose -4/5*k - 2/5*k**z - 2/5 = 0. What is k?
-1
Suppose z - 5 = -4*z. Let r be z + (-1 - 4/(-6)). Solve -4/3*l - 2/3*l**2 - r = 0.
-1
Let m(f) = 3*f**2 - 12*f - 23. Let c(v) = 4*v**2 - 12*v - 24. Let n(h) = -5*c(h) + 6*m(h). Suppose n(t) = 0. Calculate t.
-3
Factor 4/9*f - 2/9 + 0*f**2 - 4/9*f**3 + 2/9*f**4.
2*(f - 1)**3*(f + 1)/9
Let v(j) = -5*j**2 - 27*j. Let q(n) = 10*n**2 + 53*n. Let l(z) = 3*q(z) + 7*v(z). Factor l(g).
-5*g*(g + 6)
Let i(d) be the first derivative of -2*d**5 + 4*d**4 - 2*d**3/3 - 2*d**2 - 20. Factor i(g).
-2*g*(g - 1)**2*(5*g + 2)
Let j(a) be the second derivative of 3*a**5/100 - 3*a**4/20 + 3*a**3/10 - 3*a**2/10 - 6*a. Factor j(f).
3*(f - 1)**3/5
Factor 0*q - 1/5 + 1/5*q**2.
(q - 1)*(q + 1)/5
Suppose -5*q - 1 = -21. Suppose 2*l**4 + l**2 - 2*l**q + l**4 + 0*l**3 - 2*l**3 = 0. What is l?
0, 1
Let h(w) be the second derivative of -2*w**6/15 + 3*w**5/5 - 2*w**4/3 + 31*w. Factor h(u).
-4*u**2*(u - 2)*(u - 1)
Factor 2/5*d**3 + 0 - 2/5*d**2 + 2/5*d**4 - 2/5*d.
2*d*(d - 1)*(d + 1)**2/5
Let f(a) = a**4 + 2*a**3 - 7*a**2 + 7*a + 3. Let m(h) = -6*h**4 - 8*h**3 + 34*h**2 - 34*h - 14. Let j(l) = 14*f(l) + 3*m(l). Determine c, given that j(c) = 0.
-1, 0, 1
Let z(d) be the first derivative of -2*d**6/9 + 14*d**5/15 - d**4 - 2*d**3/9 + 2*d**2/3 - 19. Let z(g) = 0. Calculate g.
-1/2, 0, 1, 2
Let j(r) be the second derivative of -r**6/225 - 7*r**5/150 + r**4/30 + 23*r**3/45 + 14*r**2/15 + 64*r. What is v in j(v) = 0?
-7, -1, 2
Suppose -2*a = -20*a + 36. Solve -4/11 + 2/11*k**a + 2/11*k = 0.
-2, 1
Let l(c) be the third derivative of c**7/210 + c**6/40 - c**5/15 - 46*c**2. Solve l(h) = 0.
-4, 0, 1
Let m(o) be the third derivative of o**8/448 - o**7/210 - o**6/240 + o**5/60 - o**4/96 + 15*o**2. Find f, given that m(f) = 0.
-1, 0, 1/3, 1
Let o(z) be the second derivative of z**7/315 - z**5/150 - 2*z + 1. Let o(a) = 0. What is a?
-1, 0, 1
Let p = 44 + -130/3. Factor 2*t + 0 + p*t**2.
2*t*(t + 3)/3
Suppose -4*m + 4*l - 2 = 2, 5*l = -2*m + 19. What is u in 8/7*u**4 - 2/7*u**5 + 8/7*u**m - 2/7*u + 0 - 12/7*u**3 = 0?
0, 1
Factor 18*m**3 + 13*m**3 + 5*m + 22*m**2 - m - 13*m**3.
2*m*(m + 1)*(9*m + 2)
Suppose 0 = -3*c - c + 12. Let i be 10/3 - c/9. Factor -2*h**2 + 4/3*h**i - 1/3*h**4 - 1/3 + 4/3*h.
-(h - 1)**4/3
Let w(u) = 5*u**2 + 3*u + 2. Let x(v) be the first derivative of 27*v**3 + 24*v**2 + 33*v + 3. Let z(m) = 33*w(m) - 2*x(m). Let z(s) = 0. Calculate s.
-1, 0
Let -10/7*r**3 + 0*r - 2/7*r**5 + 0 + 8/7*r**4 + 4/7*r**2 = 0. Calculate r.
0, 1, 2
Suppose 2*m - 3*b = -m, 0 = 4*b - 20. Let z(y) be the second derivative of 0*y**2 + 3*y - 1/90*y**m + 0*y**4 + 0 + 1/27*y**3. Let z(i) = 0. Calculate i.
-1, 0, 1
Let m(h) be the second derivative of 2*h**2 + 0 + 13/3*h**3 + 9/10*h**5 - 2*h + 10/3*h**4. Solve m(p) = 0.
-1, -2/9
Let d(m) = -m**2 + 10*m - 12. Let a be d(2). Factor -a*g**3 - 4*g**2 - 2/5 - 2*g - 2*g**4 - 2/5*g**5.
-2*(g + 1)**5/5
Let d be (174/15)/(4/5). Let o = -14 + d. Factor -1/2*b**3 + o*b**2 + 0*b + 0.
-b**2*(b - 1)/2
Suppose 24/7*u + 0 + 4/7*u**2 - 4/7*u**3 = 0. Calculate u.
-2, 0, 3
Let h(r) = -r**2 + r. Let g(w) = w*