0.
-1, 0, 2/3, 1
Let g = 1 + 3. Let b(n) be the first derivative of -1/7*n**g + 4/21*n**3 - 3 + 3/7*n**2 - 1/21*n**6 - 6/35*n**5 + 2/7*n. Factor b(x).
-2*(x - 1)*(x + 1)**4/7
Let b(s) be the first derivative of s**5/60 + s**4/36 - 2*s + 2. Let d(x) be the first derivative of b(x). What is n in d(n) = 0?
-1, 0
Factor 0 + 0*p + 2/19*p**4 - 2/19*p**3 - 4/19*p**2.
2*p**2*(p - 2)*(p + 1)/19
Let i(g) be the second derivative of -g**7/441 + g**5/105 - g**3/63 + 16*g. Factor i(o).
-2*o*(o - 1)**2*(o + 1)**2/21
Let x be 20/11 + 2/11. Factor -8*y**x + 2 + 9*y**2 - 3*y**2.
-2*(y - 1)*(y + 1)
Let i be -3 + (-100)/(-24) + -1. Let q(t) be the second derivative of -2*t - t**2 + 2/3*t**3 - i*t**4 + 0. Determine y so that q(y) = 0.
1
Determine z so that -z**2 - 7 - 1 + 17 + 5*z - 3 = 0.
-1, 6
Let x be 3/120 + 3 - 3. Let o(k) be the second derivative of -x*k**5 + 1/24*k**4 + 0 + 2*k + 0*k**2 + 0*k**3. Find d, given that o(d) = 0.
0, 1
Let h be 1 + 2/2 + 1. Let p = -23/2 - -16. Factor 3 - 6*r**2 - p*r**h + 3/2*r.
-3*(r + 1)**2*(3*r - 2)/2
Let b = 34 + -28. Let i(r) be the third derivative of 1/15*r**5 + 0 - 1/168*r**8 + 2*r**2 - 2/105*r**7 + 0*r**3 + 0*r**b + 0*r + 1/12*r**4. Factor i(n).
-2*n*(n - 1)*(n + 1)**3
Let l = -2 + 2. Factor l*x**4 + x**4 - 4*x**4 - 4*x**5 + x**5.
-3*x**4*(x + 1)
Factor 6/5*c + 3/5 - 9/5*c**2.
-3*(c - 1)*(3*c + 1)/5
Let x(t) be the second derivative of -t**5/80 + 5*t**4/48 - 7*t**3/24 + 3*t**2/8 - 33*t + 1. Find o, given that x(o) = 0.
1, 3
Let u = 37 - 32. Let o(c) be the third derivative of 0*c**3 + 0 + 0*c - 1/60*c**6 + 3*c**2 + 0*c**u + 0*c**4. Factor o(n).
-2*n**3
Factor -y**2 + 1/2*y + 0 + 1/2*y**3.
y*(y - 1)**2/2
Let v(x) be the first derivative of 1/3*x**6 + 16/15*x**5 + 5 + 2/3*x**4 - 7/3*x**2 - 4/3*x - 4/3*x**3. Find q such that v(q) = 0.
-1, -2/3, 1
Let k be (((-189)/(-18))/(-7))/((-3)/8). Let v(a) be the second derivative of -2/3*a**2 + 0 + 1/9*a**3 + 1/18*a**k + 3*a. Determine b so that v(b) = 0.
-2, 1
Factor -5*r**2 - 6*r + 20 - 11*r + 2*r.
-5*(r - 1)*(r + 4)
Let y(a) be the second derivative of -1/3*a**3 - 1/3*a**4 + 2/15*a**6 + 4*a + 0*a**5 + 0*a**2 + 1/21*a**7 + 0. Solve y(r) = 0.
-1, 0, 1
Let z(x) be the third derivative of 1/60*x**5 + 0*x**4 + 7*x**2 + 0*x + 0*x**3 + 0 - 1/240*x**6. Determine j so that z(j) = 0.
0, 2
Let -6*g**2 + 4*g - 2*g**2 + 0*g**3 + 4*g**3 = 0. What is g?
0, 1
Let b = -24/7 - -55/14. Solve 1/2*p**3 - b*p + 0*p**2 + 0 = 0 for p.
-1, 0, 1
Let b(k) be the third derivative of 0 + 1/5*k**3 + 3/40*k**4 + 0*k + 1/100*k**5 + 2*k**2. Solve b(w) = 0 for w.
-2, -1
Determine l so that 3/2*l + 3/8*l**2 + 9/8 = 0.
-3, -1
Suppose -8*t + 43 - 19 = 0. Factor 0 + 2/3*y**t + 0*y - 2/3*y**2.
2*y**2*(y - 1)/3
Suppose -6*y + 5*g = -4*y - 1, 3*g = 3. Factor -1/2*k**y + 0 + 1/2*k**2 + 0*k.
-k**2*(k - 1)/2
Factor 16/9*s + 0 - 28/9*s**2 + 2/3*s**3.
2*s*(s - 4)*(3*s - 2)/9
Let p = 31 - 29. Let k(d) be the second derivative of -2/15*d**3 + 0 - 2*d + 1/5*d**p + 1/30*d**4. Factor k(w).
2*(w - 1)**2/5
Let y(f) be the first derivative of 3*f**4/4 + 6. Factor y(s).
3*s**3
Let m = -3 - -6. Let j(a) be the first derivative of 2 - 1/20*a**4 + 1/10*a**2 - 2/5*a + 2/15*a**m. Let j(q) = 0. What is q?
-1, 1, 2
Let a(y) = y**3 - 8*y**2 + 7*y + 3. Let b be a(7). Let d = 3 - b. Factor 0*v**3 + 4/7*v - 2/7*v**4 + 6/7*v**2 + d.
-2*v*(v - 2)*(v + 1)**2/7
What is a in -475*a**2 + 463*a**2 - 52*a - 9 + 49 = 0?
-5, 2/3
Let h(s) be the second derivative of -s**6/2160 - s**5/240 - 2*s**3/3 - s. Let d(j) be the second derivative of h(j). Factor d(i).
-i*(i + 3)/6
Let w = 7 + 8. Suppose -3*v + w = -0*v. Suppose 2/3*r**v + 2/3*r**4 + 0*r + 0 + 0*r**3 + 0*r**2 = 0. What is r?
-1, 0
Let m be -4 + 3 + (-39)/(-36). Let h(j) be the first derivative of -m*j**4 + 0*j**2 + 2 - 4/3*j + 1/3*j**3. Find b, given that h(b) = 0.
-1, 2
Let t(p) be the third derivative of -p**8/112 - 2*p**7/35 - 3*p**6/20 - p**5/5 - p**4/8 + 7*p**2. Factor t(q).
-3*q*(q + 1)**4
Let c be 5/(-2)*26884/(-275). Let t = 246 - c. Factor 2*d**3 - 24/5*d**2 + t*d + 0.
2*d*(d - 2)*(5*d - 2)/5
Factor -36 + 2*z - 36 + 68 + 2*z**2.
2*(z - 1)*(z + 2)
Suppose 2 = -5*j + 12. Let -2*t - 2 + 6*t**j - 7*t + 6 - 1 = 0. Calculate t.
1/2, 1
Let j(g) = -g**5 - g**3 - g**2 + g + 1. Let f(n) = 3*n**5 + n**4 + 9*n**3 + 3*n**2 - 12*n - 8. Let x(q) = -f(q) - 4*j(q). Factor x(d).
(d - 2)**2*(d + 1)**3
Let b(d) = 4*d**5 + 2*d**4 - 5*d**3 - d**2 + d - 1. Let k(f) = -9*f**5 - 5*f**4 + 11*f**3 + 3*f**2 - 2*f + 2. Let c(u) = 7*b(u) + 3*k(u). Factor c(i).
(i - 1)**3*(i + 1)**2
Suppose 5*h = -5*w, w + 5 = -0. Factor 0*k**2 + 144*k**3 + 4*k - 36*k**2 - h*k**2 - 160*k**4 - k**2.
-2*k*(4*k - 1)**2*(5*k - 2)
Let u be 2/6*(-117)/(-26). Factor 3/2*k**3 + 3/2*k**2 - 3/2*k - u*k**4 + 0.
-3*k*(k - 1)**2*(k + 1)/2
Let w(d) be the second derivative of -1/9*d**3 + 0*d**2 - 1/18*d**4 - 2*d + 0. Factor w(v).
-2*v*(v + 1)/3
Determine w so that 50 + 10*w + 1/2*w**2 = 0.
-10
Let x be 1*6*(-12)/(-18). Let a(s) be the first derivative of -x - 1/10*s**4 + 1/15*s**6 - 2/25*s**5 + 2/15*s**3 + 0*s**2 + 0*s. Factor a(d).
2*d**2*(d - 1)**2*(d + 1)/5
Factor -9*u + 8*u + 29*u - 24 + 5*u**3 - 9*u**3.
-4*(u - 2)*(u - 1)*(u + 3)
Let y be (-4)/5*-4*25/40. Factor 0*w - 1/5*w**5 + 0 + 0*w**y + 2/5*w**3 - 1/5*w**4.
-w**3*(w - 1)*(w + 2)/5
Let t be (-176)/(-77) - (-2)/(-7). Suppose 3*q - 14 + 2 = 0, t*q - 12 = -2*o. Factor 0*x**o + 0 - 2/3*x**3 + 2/3*x.
-2*x*(x - 1)*(x + 1)/3
Let 12/7*w**3 + 0 - 2/7*w**5 + 0*w**4 + 6/7*w + 16/7*w**2 = 0. What is w?
-1, 0, 3
Suppose -161 = 5*p - 341. Suppose 21*f**4 - 387/5*f**3 + 24/5 - p*f + 438/5*f**2 = 0. Calculate f.
2/7, 2/5, 1, 2
Let z(j) be the third derivative of -j**7/1050 - j**6/200 - j**5/150 - 9*j**2. Find w, given that z(w) = 0.
-2, -1, 0
Let a(n) = -39*n**2 - 66*n - 102. Suppose 9 = -f + 4*f, -5*y = -2*f - 19. Let m(z) = 11*z**2 + 19*z + 29. Let s(o) = y*a(o) + 18*m(o). What is t in s(t) = 0?
-2
Let m(f) be the second derivative of -f**7/2520 + f**6/360 + f**4/2 - f. Let d(h) be the third derivative of m(h). What is z in d(z) = 0?
0, 2
Let x(h) = -h**2 - 6*h + 9. Let q(a) = -3*a**2 - 24*a + 36. Suppose -m - 42 = -5*r, 37 = 5*r + m - 11. Let j(o) = r*x(o) - 2*q(o). Suppose j(y) = 0. What is y?
-3, 1
Let m(p) be the first derivative of -5*p**3/6 + 45*p**2/2 - 405*p/2 + 29. Find f such that m(f) = 0.
9
Suppose -f - 17 = -5*b, -2*f + 29 = f + 5*b. Let 0*a**3 - 2*a**f + a**2 - a**4 + a**3 + a = 0. Calculate a.
-1, 0, 1
Let c(m) be the second derivative of -m**7/21 + 2*m**6/15 + 3*m**5/10 - 2*m**4/3 - 4*m**3/3 + 43*m. What is s in c(s) = 0?
-1, 0, 2
Let j(d) be the third derivative of d**6/80 - 7*d**5/40 + 15*d**4/16 - 9*d**3/4 + 9*d**2. Suppose j(u) = 0. What is u?
1, 3
Factor 0*x**2 + 0 + 2/5*x**3 - 8/5*x.
2*x*(x - 2)*(x + 2)/5
Let x(t) be the first derivative of 9*t**5/20 - t**4/8 - 3*t**3/4 + t**2/4 + 16. Factor x(k).
k*(k - 1)*(k + 1)*(9*k - 2)/4
Let x = -1/36 - -79/252. Factor 0*r - 2/7*r**2 + x.
-2*(r - 1)*(r + 1)/7
Let q(v) be the first derivative of v**6/480 - v**5/80 + v**3/6 - 2*v**2 - 1. Let x(a) be the second derivative of q(a). Factor x(l).
(l - 2)**2*(l + 1)/4
Let b be 3*-1 - 1/((-360)/1082). Let a(l) be the third derivative of 0*l - b*l**5 - 2*l**2 + 0 - 1/18*l**3 - 1/36*l**4. Factor a(x).
-(x + 1)**2/3
Factor -25*q**3 + 16*q + 12*q**3 - 16*q**2 + 14*q**3 + 3*q**3.
4*q*(q - 2)**2
Let p(m) be the second derivative of m**6/135 + m**5/90 + 6*m. Suppose p(t) = 0. Calculate t.
-1, 0
Let c be 0/5*(10/(-4))/5. Factor 0 + c*i**2 + 0*i - 1/2*i**3.
-i**3/2
Let n(d) = -4*d**2 - 28*d + 24. Let l(u) = -10*u**2 - 57*u + 49. Let v(a) = -4*l(a) + 9*n(a). Determine c so that v(c) = 0.
1, 5
Let x(o) = 9*o**4 - 3*o**3 - 4*o + 5. Let t(g) = 4*g**4 - g**3 - 2*g + 2. Suppose -5*l = c - 38, 0*l = 5*l - 2*c - 29. Let j(b) = l*t(b) - 3*x(b). Factor j(u).
(u - 1)*(u + 1)**3
Let y(o) be the third derivative of o**6/360 + o**5/180 - o**4/36 + 2*o**2. Find i such that y(i) = 0.
-2, 0, 1
Suppose -b + 4*p + p + 63 = 0, b + 2*p - 49 = 0. Let x = b - 367/7. Let -2/7*y - 2/7*y**2 + x = 0. Calculate y.
-2, 1
Let z(t) be the third derivative of -t**6/900 + t**5/150 - t**4/60 + t**3/6 - 2*t**2. Let u(a) be the first derivative of z(a). Factor u(p).
-2*(p - 1)**2/5
Let o = -26/7 + 137/35. Let u = 55 + -52. Let -1/5*w**u + o*