)/(-4). Let l(z) be the first derivative of 2/15*z**5 + 0*z**3 + 0*z - 2 + 0*z**2 + 1/6*z**y. Find s, given that l(s) = 0.
-1, 0
Let b be 8 + -6 - 28/2. Let f be (-2)/(-4) + (-106)/b. Suppose 28/3*v**3 - 4/3 - f*v - 41/3*v**2 = 0. Calculate v.
-2/7, -1/4, 2
Let a = 5 - -1. Let q be (12/9)/(4/a). Let 4*p**3 + 2*p**3 - 28*p**4 + 11*p**2 + 7*p**q + 4*p = 0. Calculate p.
-1/2, -2/7, 0, 1
Let r(t) be the first derivative of -1/8*t**4 + 0*t - 1/30*t**5 - 1/6*t**3 - 1/12*t**2 + 4. Let r(m) = 0. Calculate m.
-1, 0
Let h(a) be the second derivative of -a**6/360 + a**3/2 + 3*a. Let d(z) be the second derivative of h(z). Factor d(l).
-l**2
Let u(k) be the second derivative of 23/12*k**4 - 3*k + 2/3*k**2 + 14/9*k**3 + 0 + 7/6*k**5 + 5/18*k**6. Factor u(l).
(l + 1)**2*(5*l + 2)**2/3
Let k(n) be the third derivative of -n**6/280 - 3*n**5/140 - 5*n**2. What is y in k(y) = 0?
-3, 0
Suppose 0*i + 9 = -i - 3*z, -4*i + 20 = -2*z. Suppose -3*r + i = -2*r. Find n such that 0*n**2 + 2/9*n**r + 0 - 2/9*n = 0.
-1, 0, 1
Let j = 1130 - 1127. Suppose 0*t - 1/2*t**2 + 1/4*t**4 + 0 - 1/4*t**j = 0. What is t?
-1, 0, 2
Let j = -17 - -19. Factor -1/3*u**j + 1/3*u + 2/3.
-(u - 2)*(u + 1)/3
Let m = 2783/9 + -309. Factor 2/9*i**3 - 2/9*i + m*i**4 + 0 - 2/9*i**2.
2*i*(i - 1)*(i + 1)**2/9
Let z(h) = -h**4 + h**3 + h**2. Let u(a) = 5*a**5 - 3*a**4 - 9*a**3 + 5*a**2 - a - 2. Let i(n) = 2*u(n) + 10*z(n). Solve i(x) = 0.
-1, -2/5, 1
Factor 36/7*p**3 + 324/7*p + 3/7*p**4 + 162/7*p**2 + 243/7.
3*(p + 3)**4/7
Suppose -y + 1 = -2*w, 8 = y + w + 4*w. Let f(m) be the first derivative of -4/3*m**3 + 2*m**4 - y - 7/4*m**2 - 1/2*m. Factor f(b).
(b - 1)*(4*b + 1)**2/2
Factor -2*y**2 - 12*y**4 + 3*y**3 - 6*y**3 + 4*y**5 - 2*y**2 + 15*y**3.
4*y**2*(y - 1)**3
Let o(q) = q**3 - q**2 - q + 2. Let u be o(0). Suppose 5 = -x + u*x. Factor 12*i**5 - 3*i - 12*i**3 - 6 + i**x - 24*i**4 + 30*i**2 + 2*i**5.
3*(i - 1)**3*(i + 1)*(5*i + 2)
Factor q + 6*q + 7*q - 6 - 3*q**3 - 5*q.
-3*(q - 1)**2*(q + 2)
Let f(t) be the first derivative of -t**9/864 - t**8/210 - 11*t**7/1680 - t**6/360 - t**3/3 + 3. Let u(q) be the third derivative of f(q). Factor u(i).
-i**2*(i + 1)**2*(7*i + 2)/2
Suppose 0 = -5*c + 8*c - 15. Let y(t) be the third derivative of 0*t**3 - 1/120*t**6 - 1/210*t**7 + 0*t + 1/24*t**4 + 2*t**2 + 1/60*t**c + 0. Factor y(g).
-g*(g - 1)*(g + 1)**2
Let m(h) be the first derivative of h**5/15 + h**4/24 - h**3/6 - h**2/12 + h/6 + 1. Solve m(q) = 0.
-1, 1/2, 1
Factor 0*y**3 + 15*y**3 - 3*y**4 + 21*y + 4*y**2 - 6 - 31*y**2.
-3*(y - 2)*(y - 1)**3
Let 0 - 2/5*k - 2/15*k**3 - 8/15*k**2 = 0. What is k?
-3, -1, 0
Let c(i) = 4*i**3 - 12*i**2 + 18*i - 6. Let h(v) = -5*v**3 + 13*v**2 - 19*v + 5. Let f(d) = 3*c(d) + 2*h(d). Factor f(g).
2*(g - 2)**2*(g - 1)
Let f(v) be the first derivative of v**3 - 3*v**2/2 - 6*v - 20. Factor f(l).
3*(l - 2)*(l + 1)
Suppose -j + 8 = -f, 5*j = f - 3*f - 9. Let h(o) = o + 9. Let r be h(f). Factor -t**3 - 1/2*t**4 + 1/2 + t + 0*t**r.
-(t - 1)*(t + 1)**3/2
Let s(j) = -j - 2. Let k be s(0). Let t = k + 6. Suppose -4*p**3 - 2*p**2 - 1 + 3 + t*p - 2*p + 2*p**3 = 0. Calculate p.
-1, 1
Let f = 300 + -892/3. Factor 2/3*s**2 + f*s + 8/3.
2*(s + 2)**2/3
Let j(q) = -5*q**4 - 5*q**3 + 10*q**2 + 15*q + 5. Let b(s) = -5*s**4 - 6*s**3 + 9*s**2 + 14*s + 4. Let k(y) = 5*b(y) - 4*j(y). Determine h so that k(h) = 0.
-2, -1, 0, 1
Suppose 0*s = 3*s. Let a = 12 - 10. Suppose 0*h**a + 2/3*h**4 + 0*h + 1/3*h**3 + s + 1/3*h**5 = 0. What is h?
-1, 0
Let x(i) be the second derivative of i**6/135 - i**5/45 + i**4/54 - 7*i. Factor x(a).
2*a**2*(a - 1)**2/9
Let u be 13/4 + (2 - 3 - 2). Solve 0 - 1/4*g**4 + 1/4*g**2 + u*g**3 - 1/4*g = 0 for g.
-1, 0, 1
Let n(i) be the first derivative of 16*i**3 + 22*i**2 - 4*i - 43. Factor n(r).
4*(r + 1)*(12*r - 1)
Let p(m) = 2*m**2 + 2*m. Let s(z) = -z - 1. Let t(a) = a**2 + 8*a + 10. Let i be t(-4). Let y(j) = i*s(j) + p(j). Suppose y(f) = 0. Calculate f.
-3, -1
Suppose -4 + 90*l + 9 - 21*l**2 - 29 = 0. What is l?
2/7, 4
Let q(t) be the third derivative of t**10/264600 - t**9/70560 + t**7/17640 - t**5/30 - 2*t**2. Let k(w) be the third derivative of q(w). Factor k(p).
2*p*(p - 1)**2*(2*p + 1)/7
Let o be ((-4)/(84/9))/(6/(-4)). Let q = -5 + 8. Factor 6/7*p**2 - 2/7*p**q - 6/7*p + o.
-2*(p - 1)**3/7
Let m(k) be the first derivative of 2 - 1/5*k**3 - 3/5*k**2 - 3/5*k. Factor m(w).
-3*(w + 1)**2/5
Let b(c) be the first derivative of 5*c**6/12 + c**5 - 5*c**3/3 - 5*c**2/4 + 41. Find r, given that b(r) = 0.
-1, 0, 1
Suppose 30*z = 54 + 6. Determine f, given that -2/3*f**5 + 0*f**z + 2*f**4 - 4/3*f**3 + 0*f + 0 = 0.
0, 1, 2
Let i = -79/50 + 2/25. Let r = 5/3 + i. Let -1/6 - r*x**2 + 1/3*x = 0. What is x?
1
Suppose -4*n = 3*j - 8 + 3, -3*n - 3 = 0. Let t(l) be the third derivative of 0*l**j + l**2 + 0 - 1/30*l**5 - 1/60*l**6 + 0*l**4 + 0*l. What is c in t(c) = 0?
-1, 0
Find p, given that -6*p - 9 + 2*p**2 + p**2 - 4*p**2 + 0*p = 0.
-3
Let l = -1 + 9/2. Solve l*j**3 + 3/2*j**4 + 0 + 8/3*j**2 + 2/3*j = 0 for j.
-1, -2/3, 0
Let t = 5 - 2. Factor 0*o**2 + 1 + 1 - 2*o**2 + t*o**2 + 3*o.
(o + 1)*(o + 2)
Let r(q) be the third derivative of q**8/840 + q**7/210 - q**5/30 - q**4/12 - 2*q**3/3 + q**2. Let o(f) be the first derivative of r(f). Factor o(k).
2*(k - 1)*(k + 1)**3
Let z be 5 + (6/(-54) - (-290)/(-63)). Factor -z + 2/7*y**2 + 0*y.
2*(y - 1)*(y + 1)/7
Let r(u) be the first derivative of -u**9/3024 + u**7/420 - u**5/120 - 2*u**3/3 + 2. Let k(c) be the third derivative of r(c). Find h such that k(h) = 0.
-1, 0, 1
Solve 0 + t**2 + 5/3*t = 0.
-5/3, 0
Let t(f) be the third derivative of -f**7/42 + f**6/12 - 17*f**2. Let t(y) = 0. What is y?
0, 2
Let t(j) = -4*j**3 + 6*j**2 + 10. Let v(g) = g**3 - g**2 - g - 1. Suppose 0 = -4*c - 5*b + 1, -3*c + 3*b = -b + 38. Let a(w) = c*v(w) - t(w). Factor a(s).
-2*(s - 1)**2*(s + 2)
Let y(n) be the third derivative of n**6/360 - n**4/72 - 8*n**2. Factor y(m).
m*(m - 1)*(m + 1)/3
Let z(x) be the first derivative of 1/11*x**2 + 0*x - 1/33*x**6 + 4/55*x**5 - 4/33*x**3 + 3 + 0*x**4. Let z(g) = 0. What is g?
-1, 0, 1
Factor -20/9*u + 8/9 + 4/9*u**3 - 4/9*u**4 + 4/3*u**2.
-4*(u - 1)**3*(u + 2)/9
Let k(d) = d**3 + 2*d**2 - 5*d + 4. Let f(c) be the first derivative of c**4/4 + c**3/3 - 2*c**2 + 4*c - 3. Let h(j) = -5*f(j) + 4*k(j). Factor h(p).
-(p - 2)**2*(p + 1)
Let 3/4*q + 9/4*q**4 + 0 + 39/8*q**3 + 27/8*q**2 = 0. Calculate q.
-1, -2/3, -1/2, 0
Let f(r) be the third derivative of -r**8/80640 + r**6/720 - r**5/20 + 2*r**2. Let n(a) be the third derivative of f(a). Factor n(w).
-(w - 2)*(w + 2)/4
Let v(f) be the third derivative of f**6/40 + f**5/4 + 7*f**4/8 + 3*f**3/2 - f**2. Factor v(u).
3*(u + 1)**2*(u + 3)
What is i in -8/5 + 12/5*i - 4/5*i**2 = 0?
1, 2
Let y(c) = 5*c**3 - 2*c**2 - 2*c + 2. Let n(q) = 4*q**3 - 2*q**2 - 2*q + 2. Suppose 0 = -5*j - 9 - 6. Let i(t) = j*n(t) + 2*y(t). Factor i(r).
-2*(r - 1)**2*(r + 1)
What is j in 4/7*j**5 - 4*j**2 - 20/7*j**4 + 8/7*j + 36/7*j**3 + 0 = 0?
0, 1, 2
Let v(a) be the third derivative of 11*a**6/210 - 8*a**5/35 + 5*a**4/14 - 4*a**3/21 + 4*a**2. Factor v(p).
4*(p - 1)**2*(11*p - 2)/7
Let r(t) be the second derivative of -7*t**6/120 + t**5/16 + t**4/24 - 9*t. Factor r(b).
-b**2*(b - 1)*(7*b + 2)/4
Let w = -61 + 125/2. Let s(i) = i - 7. Let c be s(7). Factor c*d + w*d**2 + d**3 - 1/2.
(d + 1)**2*(2*d - 1)/2
Let f(w) be the third derivative of 0 - 1/6*w**4 - 1/90*w**5 - w**3 + 0*w + 6*w**2. Factor f(n).
-2*(n + 3)**2/3
Let m(a) be the second derivative of a**6/70 - 3*a**5/140 - a**4/28 + a**3/14 + 11*a. Factor m(z).
3*z*(z - 1)**2*(z + 1)/7
Factor 1/5*s + 0*s**4 + 1/5*s**5 + 0 - 2/5*s**3 + 0*s**2.
s*(s - 1)**2*(s + 1)**2/5
Factor 0*f + 0 - 2/21*f**3 + 2/3*f**2.
-2*f**2*(f - 7)/21
Suppose -2*v - 2*v = -40. Let p be v/(-55) + 114/22. Solve 0*s**2 + p*s**2 - s**3 - s**3 - 3*s**2 = 0.
0, 1
Let i be 9 + 7/((-7)/2). Let q = -7 + i. Find w, given that 1/4*w**3 + 0 + q*w + 1/4*w**2 = 0.
-1, 0
Factor 1/3*f**5 - 2/3*f**4 + 4/3*f**2 - f**3 + 4/3*f + 0.
f*(f - 2)**2*(f + 1)**2/3
Let r be (-57138)/(-5060) - 2/(-10). Let m = r - -2/253. Suppose -u - 7/2*u**5 - 13/2*u**2 - 27/2*u**3 - m*u**4 + 0 = 0. What is u?
-1, -2/7, 0
Factor 8*f - 7*f**2 + 2*f**2 - 3*f**2 + 2*f**3.
2*f*(f - 2)**2
Let v(q) be the third derivative of -3*q**7/2