Let x(h) = -3*o(h) - p(h). Solve x(c) = 0.
1, 2
Let j(b) be the first derivative of -b**4/6 + 2*b**3/3 - b**2 + b - 2. Let v(y) be the first derivative of j(y). Determine i, given that v(i) = 0.
1
Suppose -9*w = -a - 12*w + 10, -5 = a - 2*w. Let s(k) be the first derivative of -1/2*k**2 - 1/6*k**3 - a - 1/2*k. Let s(f) = 0. Calculate f.
-1
Let x(k) be the second derivative of -k**6/30 + k**5/10 - k**4/8 + 2*k**3/3 - 4*k. Let d(t) be the second derivative of x(t). Find a such that d(a) = 0.
1/2
Let m be (-4)/8*0/(-1). Suppose -5*j - 5*o + 5 = -m, 0 = -3*j - 4*o + 1. Factor -2*u**2 + 10*u - 10*u + j*u**2.
u**2
Let r be -4*((-105)/(-4))/5. Let p(o) = o**2 + 1. Let z(t) = -6*t**2 - 7. Let j be (-18)/15*(-15)/(-6). Let s(m) = j*z(m) + r*p(m). Let s(v) = 0. What is v?
0
Suppose 0 + 6/7*f**3 - 10/7*f**5 - 2*f**2 + 2*f**4 + 4/7*f = 0. Calculate f.
-1, 0, 2/5, 1
Let s = -2 - -2. Suppose s = -32*j + 27*j + 15. Factor 0 + 0*h + 1/2*h**2 + 1/2*h**j - 1/2*h**5 - 1/2*h**4.
-h**2*(h - 1)*(h + 1)**2/2
Let x = -451 - -453. Solve -2/7*c**x + 2/7 + 0*c = 0 for c.
-1, 1
Let m(g) = -10*g**4 - 8*g**2 + 8*g + 8. Let l(p) = -p**4 - p**3 + p + 1. Let b(k) = 8*l(k) - m(k). What is r in b(r) = 0?
0, 2
Let v(k) be the third derivative of k**7/140 - k**6/16 + 7*k**5/40 - 3*k**4/16 + 4*k**2 - 1. Factor v(j).
3*j*(j - 3)*(j - 1)**2/2
Factor 5*x**4 + 0*x**3 + 20*x + 0*x**3 - 15*x**3.
5*x*(x - 2)**2*(x + 1)
Let t(g) = -3*g**2 - 84*g - 76. Let x be t(-27). Factor -6/7*m**x - 2/7*m + 0 + 12/7*m**2 - 24/7*m**3 + 20/7*m**4.
-2*m*(m - 1)**3*(3*m - 1)/7
Let w(o) be the second derivative of -o**5/30 + o**3/3 - o**2 + 2*o. Let h(s) be the first derivative of w(s). Find z, given that h(z) = 0.
-1, 1
Suppose -s + 3*s + 4 = 0. Let d be 4 + 0 + 4/s. Solve -u**4 + 3*u**3 + u**2 + d*u**4 - 5*u**3 = 0.
0, 1
Factor 0*q + 2/11*q**3 + 2/11*q**2 + 0.
2*q**2*(q + 1)/11
What is q in -2 - 2*q - 2*q**3 - 8 - 4*q**2 + 10 = 0?
-1, 0
Let r = 1/40 + 3/8. What is x in -2/5*x**2 + r*x - 2/5*x**3 + 2/5 = 0?
-1, 1
Determine l so that -l**2 + l**4 - 15*l + 13*l - 4*l**2 + 2*l**2 = 0.
-1, 0, 2
Let q(u) = 84*u**2 + 396*u - 120. Let g(m) = 28*m**2 + 132*m - 40. Let b(c) = 8*g(c) - 3*q(c). Factor b(j).
-4*(j + 5)*(7*j - 2)
Let i(j) be the second derivative of -j**6/12 - j**5/5 + j**4/6 - j + 35. Factor i(t).
-t**2*(t + 2)*(5*t - 2)/2
Let y = -4 + 8. Let w(q) = q**3 - 7*q**2 + 8*q - 5. Let g be w(6). Suppose b**3 - 18*b**4 - g*b**3 - 6*b + 10*b**2 + y*b = 0. Calculate b.
-1, 0, 1/3
Let u = 357 - 355. Factor 0*n - 1/2*n**u + 0.
-n**2/2
Let o(r) be the third derivative of 1/105*r**7 + 0 - 1/60*r**4 + 0*r**3 - 3*r**2 + 0*r + 1/100*r**6 - 1/150*r**5 + 1/420*r**8. Factor o(k).
2*k*(k + 1)**3*(2*k - 1)/5
Solve 404*u**3 - 401*u**3 - 2*u**4 - u**4 + 9*u**2 + 6 - 15*u = 0 for u.
-2, 1
Suppose 3*t - 2*r = -0 - 2, 20 = 5*r. Determine x so that 0 - 2/11*x**t - 2/11*x = 0.
-1, 0
Suppose -2*a + 6 = 3*r, -3*a + 3*r = 2*r - 9. Suppose -b - 5*h = -18, -3*h - 9 = -5*b - h. Factor -2*q**2 + 3 + b + 8*q**a - 7*q - q**3 - 4.
(q - 1)*(q + 1)*(7*q - 2)
Solve 0*u**5 + u**4 - 10*u**5 - u**2 + u**3 + 4*u**5 + 5*u**5 = 0 for u.
-1, 0, 1
Suppose l**2 + 471*l**3 + 11*l**2 + 4*l**4 - 455*l**3 = 0. Calculate l.
-3, -1, 0
Find q, given that -2/15*q**3 + 0 - 4/5*q**2 - 2/3*q = 0.
-5, -1, 0
Factor -58*q - 3*q**4 + 58*q + 6*q**2 - 3.
-3*(q - 1)**2*(q + 1)**2
Let k be (-1)/(-4) + (-10)/8. Let d be 6/3 - 1/k. Factor 2*o + 3*o**5 + o**4 - o**2 - 5*o**3 - 3*o**5 + d*o**5.
o*(o - 1)*(o + 1)**2*(3*o - 2)
Let h be 9/30*18 + -5. Suppose -w - w = -6. Factor -4/5*c**2 + 4/5*c**w - 2/5*c + 2/5 - 2/5*c**5 + h*c**4.
-2*(c - 1)**3*(c + 1)**2/5
Let n(v) = -v**3 + v**2 - v + 1. Let x(w) = 5*w**4 + 17*w**3 - 18*w**2 + w - 5. Let j(k) = 18*n(k) + 2*x(k). Let j(u) = 0. Calculate u.
-2, -1, 2/5, 1
Let y(u) be the second derivative of -u**7/462 - u**6/110 - u**5/110 + u**4/66 + u**3/22 + u**2/22 + 6*u + 3. Solve y(a) = 0 for a.
-1, 1
Let u(v) be the first derivative of v**8/1176 - v**6/420 - v**2/2 - 3. Let n(x) be the second derivative of u(x). Factor n(p).
2*p**3*(p - 1)*(p + 1)/7
Solve 0 + 25/2*q**4 + 0*q**2 + 15/2*q**5 + 0*q + 5*q**3 = 0 for q.
-1, -2/3, 0
Suppose -b - 2 = 0, -u + 4*b + 13 = -b. Let v(s) be the second derivative of -1/3*s**u - 5/48*s**4 + 0 - 1/80*s**5 - 1/2*s**2 - s. Factor v(a).
-(a + 1)*(a + 2)**2/4
Suppose 789*w + w**5 - 813*w - 10*w**5 - 102*w**3 - 84*w**2 - 51*w**4 = 0. Calculate w.
-2, -1, -2/3, 0
Suppose 0 = 23*p - p - 154. Let 49/4*r**2 + 1 + p*r = 0. Calculate r.
-2/7
Let u(x) be the third derivative of x**7/945 - x**6/180 + x**5/135 - 6*x**2. Find n such that u(n) = 0.
0, 1, 2
Let r(p) be the first derivative of p**8/2940 - p**6/630 + p**3 - 1. Let j(f) be the third derivative of r(f). Determine y, given that j(y) = 0.
-1, 0, 1
Let k(m) be the second derivative of -m**5/15 + 2*m**4/9 + 11*m. Solve k(o) = 0 for o.
0, 2
Factor 0*w + 4/3*w**3 - 4/3*w**4 - 4/3*w**5 + 0 + 4/3*w**2.
-4*w**2*(w - 1)*(w + 1)**2/3
Let x(b) be the first derivative of -b**4/16 + 5*b**3/12 - 3*b**2/8 - 9*b/4 - 16. Solve x(p) = 0 for p.
-1, 3
Let p(v) be the first derivative of -4*v**3/3 - 20*v**2 - 100*v + 9. Factor p(x).
-4*(x + 5)**2
Let y(n) = 4*n**3 - 8*n**2 - 4*n + 4. Let d(z) = 4*z**3 - 7*z**2 - 5*z + 5. Let w(k) = 4*d(k) - 5*y(k). Factor w(b).
-4*b**2*(b - 3)
Factor 0 - 4/13*j + 4/13*j**3 - 2/13*j**2 + 2/13*j**4.
2*j*(j - 1)*(j + 1)*(j + 2)/13
Suppose -y - 8 = -5*y. What is w in -y*w - 1 - 2*w**2 - w**2 + 2*w**2 = 0?
-1
Let o(l) be the first derivative of -l**2 + 16/25*l**5 + 3 + 4/15*l**6 + 1/10*l**4 - 2/5*l - 14/15*l**3. Suppose o(n) = 0. What is n?
-1, -1/2, 1
Let z(y) be the first derivative of -14*y**5/5 - 23*y**4/2 - 18*y**3 - 13*y**2 - 4*y + 15. Find o such that z(o) = 0.
-1, -2/7
Let x(c) = -c**2 + 7*c + 4. Let b be x(7). What is r in -3*r**4 - 9*r**3 + 2*r**4 - 7*r**2 + r**2 - 2*r**b = 0?
-2, -1, 0
Let f(z) = 3*z - 5*z - 9*z**2 + 2*z - 7*z - 5. Let g(t) = -4*t**2 - 3*t - 2. Let u(m) = 6*f(m) - 14*g(m). Let u(w) = 0. What is w?
-1, 1
Let s(l) = 149*l**2 - 126*l + 27. Let q(i) = 150*i**2 - 126*i + 27. Let o(f) = 2*q(f) - 3*s(f). Suppose o(k) = 0. What is k?
3/7
Let r(q) be the third derivative of q**7/2100 + q**6/600 - q**5/600 - q**4/120 + 16*q**2. Factor r(c).
c*(c - 1)*(c + 1)*(c + 2)/10
Let g(m) be the third derivative of m**6/24 + m**5/12 - 5*m**4/24 - 5*m**3/6 - 11*m**2. Factor g(y).
5*(y - 1)*(y + 1)**2
Let x be (-4)/(-10) + 78/30. Suppose -6*d + 2*d = -8. Let 2*f**2 - 4*f**x + 3*f**3 - d*f**4 + 8*f**5 - 7*f**3 = 0. Calculate f.
-1, 0, 1/4, 1
Let c(p) = p**4 + p**3 + p**2 - p + 1. Let w(r) = -2*r**5 + r**4 + 3*r**3 - 5*r**2 - r + 1. Let b(o) = -c(o) - w(o). What is m in b(m) = 0?
-1, 1
Factor -1/4*n**2 + 0 - 2*n**3 + 1/2*n - 5/4*n**4.
-n*(n + 1)**2*(5*n - 2)/4
Let u(w) be the third derivative of w**7/45 - 2*w**6/15 + w**5/3 - 4*w**4/9 + w**3/3 - 3*w**2 + 10. Solve u(a) = 0.
3/7, 1
Let y(n) be the second derivative of n**5/60 + n**4/36 + n. Find b, given that y(b) = 0.
-1, 0
Let n(g) be the first derivative of g**4/10 + 8*g**3/15 - 3*g**2/5 - 36*g/5 + 11. Find j such that n(j) = 0.
-3, 2
Let z(g) be the first derivative of -2*g**3/15 + g**2/5 + 4*g/5 + 4. Factor z(d).
-2*(d - 2)*(d + 1)/5
Let j(v) be the first derivative of 0*v + 0*v**2 + 1/10*v**4 + 1/15*v**3 + 1/25*v**5 + 2. Factor j(p).
p**2*(p + 1)**2/5
Let j = 127668/13 + -9816. Let q = j - 154/39. Factor -2/3*c**3 + q*c + 2/3 - 2/3*c**2.
-2*(c - 1)*(c + 1)**2/3
Let j(g) be the first derivative of -g**5/5 - g**4/8 + g**2/2 - 1. Let r(s) be the second derivative of j(s). Let r(b) = 0. What is b?
-1/4, 0
Let u(f) be the third derivative of 0*f**3 - 1/6*f**4 - 1/105*f**7 + 0*f**6 + 0 + 1/10*f**5 + 0*f + f**2. Solve u(i) = 0.
-2, 0, 1
Let f be (-1)/(-4) - (-138)/24. Factor 43*q**3 + q + 6*q - 41*q**3 - q + 2 + f*q**2.
2*(q + 1)**3
Suppose -3*g + 3*a - 6*a - 3 = 0, -g - 5 = 2*a. Let y be (-1)/(-4) - (-30)/8. Factor p**2 + 3*p**4 - 4*p**y + p**5 - 2*p**3 + p**g.
p**2*(p - 1)**2*(p + 1)
Let g(a) be the third derivative of 7/40*a**6 + 4*a**2 + 0*a**7 - 1/28*a**8 + 0*a - 3/8*a**4 + 1/2*a**3 + 0 - 1/20*a**5. Suppose g(y) = 0. What is y?
-1, 1/2, 1
Let l(m) be the second derivative of -2*m**7/105 + m**6/40 + m**5/60 - m**2/2 + 2*m. Let y(a) be the first derivative of l(a). Factor y(r).
-r**2*(r 