/70 - 9*t**5/140 + t**4/28 - 15*t - 6. Let o(h) be the first derivative of p(h). Let o(s) = 0. Calculate s.
0, 1
Let n(t) be the first derivative of 5*t**6/6 + 143*t**5 + 26615*t**4/4 + 75605*t**3/3 + 37100*t**2 + 24500*t - 171. Factor n(s).
5*(s + 1)**3*(s + 70)**2
Let d(m) be the third derivative of 0*m**3 - 1/480*m**6 + 1/24*m**4 + 0*m**5 + 0 + 0*m - m**2. Solve d(l) = 0.
-2, 0, 2
Let d be (-5)/(-15) + 33/9 + 0. Factor 110*m**3 - 131*m**3 - 5*m - 4*m**4 - d - 37*m**2 - 19*m.
-(m + 1)*(m + 2)**2*(4*m + 1)
Let f be (-1006)/12 + 9/(-54). Let u be (0/(1 - 0))/(f + 85). Factor 2/7*z**3 + u - 8/7*z**2 + 6/7*z.
2*z*(z - 3)*(z - 1)/7
Let j be 126/49*28/6. Let c = 14 - j. Factor 4*d - 3*d + d - d**c.
-d*(d - 2)
Factor 28/3*y + 2/9*y**2 + 98.
2*(y + 21)**2/9
Let n(a) be the third derivative of -a**7/1540 - a**6/495 + a**5/660 + a**4/66 + 7*a**3/2 - 11*a**2. Let g(z) be the first derivative of n(z). Factor g(x).
-2*(x + 1)**2*(3*x - 2)/11
Let o(c) be the first derivative of -5*c**3/3 - 190*c**2 - 7220*c + 67. Factor o(u).
-5*(u + 38)**2
Suppose 58/9*j + 4/3*j**2 - 10/9 = 0. What is j?
-5, 1/6
Factor 7/5*w**3 - 2/5*w**2 - 64/5*w + 96/5 - 1/5*w**4.
-(w - 4)**2*(w - 2)*(w + 3)/5
Factor -76*c**5 + 20*c**2 + 4*c**3 + 30*c + 16 - 12*c**4 + 18*c - 2*c**2 + 72*c**5 + 26*c**2.
-4*(c - 2)*(c + 1)**3*(c + 2)
Let v(d) be the first derivative of -d**6/24 + d**5/5 - d**4/4 - d**3/6 + 5*d**2/8 - d/2 + 621. Let v(p) = 0. What is p?
-1, 1, 2
Let f(b) be the second derivative of -b**6/540 - b**5/90 + b**4/108 + b**3/9 + 5*b**2/2 - 6*b. Let s(t) be the first derivative of f(t). Factor s(g).
-2*(g - 1)*(g + 1)*(g + 3)/9
Let z be (-7 - (-55)/10)*8. Let i = z - -12. Factor 4/3*u + i*u**3 + 0 + 2/3*u**4 - 2*u**2.
2*u*(u - 1)**2*(u + 2)/3
Let l(d) be the second derivative of 5*d**7/42 - 2*d**6/3 + 5*d**5/4 - 5*d**4/6 - 9*d - 3. Solve l(w) = 0.
0, 1, 2
Find x such that 2/7*x**2 - 6*x - 44/7 = 0.
-1, 22
Let b = -21 + 23. Factor 7*c**3 - 3*c**3 + 0*c**3 + 8*c**b.
4*c**2*(c + 2)
Solve 16/19*g - 18/19 + 2/19*g**2 = 0 for g.
-9, 1
Suppose 0 = -6*o + 29 - 5. Find t such that 10*t**o + 2*t**3 - 9*t**4 + 0*t**4 = 0.
-2, 0
Let m(t) be the third derivative of t**8/560 + t**7/350 - 3*t**6/200 - t**5/100 + t**4/20 - 38*t**2. Suppose m(g) = 0. What is g?
-2, -1, 0, 1
Let f = -433 + 436. Let q(p) be the first derivative of 2/25*p**5 - 13 + 0*p**4 - 4/15*p**f + 0*p**2 + 2/5*p. Factor q(w).
2*(w - 1)**2*(w + 1)**2/5
Let k(u) = u**2 - u. Let f be k(2). Solve -o**2 + o**2 - 5*o**3 + 8*o**2 + f*o**2 = 0 for o.
0, 2
Let l be (-12)/(-8)*(-14)/12. Let w = l + 13/4. Factor -6*f**3 + w*f**4 - 6*f + 3/2 + 9*f**2.
3*(f - 1)**4/2
Let z = -18 + 18. Let s(v) be the third derivative of 3*v**2 + 0*v**4 - 2/135*v**6 - 1/15*v**5 - 1/945*v**7 + z + 0*v + v**3. Factor s(t).
-2*(t - 1)*(t + 3)**3/9
Let s(y) be the first derivative of 20/3*y**3 + 10 + y**5 + 0*y**2 + 5*y**4 + 0*y. Find v, given that s(v) = 0.
-2, 0
Suppose -3*y + 310 = 310. Let v(u) be the third derivative of -1/12*u**4 - 1/60*u**6 + 0*u + 3*u**2 + 0 + y*u**3 - 1/12*u**5. Factor v(g).
-g*(g + 2)*(2*g + 1)
Solve 0 + 34*g**4 + 6*g**5 + 4*g + 170/3*g**3 + 82/3*g**2 = 0 for g.
-3, -2, -1/3, 0
Let c(n) be the first derivative of 9*n**5/35 + 39*n**4/14 - 9*n**3/7 + 85. Find d, given that c(d) = 0.
-9, 0, 1/3
Let z(i) be the third derivative of 0 + 2/3*i**3 + 0*i**4 - 1/60*i**5 + 0*i - 13*i**2. Factor z(x).
-(x - 2)*(x + 2)
Suppose -4*v + 3 = -n - 0*n, n + 3 = -3*v. Let y = 1/7 - -11/21. Suppose 2/3*m**3 - y*m**2 - 4/3*m + v = 0. What is m?
-1, 0, 2
Factor 0 + 0*g**2 - 1/7*g**5 + 58/7*g**4 + 0*g - 841/7*g**3.
-g**3*(g - 29)**2/7
Let x = 36985 + -702711/19. Solve -4/19*t**4 + 0*t**3 + 0 + 2/19*t**5 + x*t**2 - 2/19*t = 0 for t.
-1, 0, 1
Factor -5*f**4 - 70*f + f**2 + 10*f**2 - 50 + 5*f + 4*f**2 + 25*f**3.
-5*(f - 5)*(f - 2)*(f + 1)**2
Let m(i) be the first derivative of -i**3/5 - 18*i**2/5 + 603. Factor m(x).
-3*x*(x + 12)/5
Let p(z) be the second derivative of 0*z**3 - 14*z + 0 - 1/4*z**5 + 0*z**2 - 5/12*z**4. Let p(a) = 0. What is a?
-1, 0
Let t = 1037/1372 + -2/343. Solve 1/4*x**3 - t*x**2 + 3/4*x**4 - 1/2*x + 1/4*x**5 + 0 = 0 for x.
-2, -1, 0, 1
Suppose 6*j - 22 - 8 = 0. Let x**3 - 82*x**5 + 83*x**j + x**4 - 3*x**3 = 0. What is x?
-2, 0, 1
Let j(n) be the third derivative of -19*n**2 + 0*n**3 + 1/360*n**6 - 1/60*n**5 + 1/36*n**4 + 0 + 0*n. Factor j(r).
r*(r - 2)*(r - 1)/3
Let c(z) = -z**2 - 20*z + 48. Let m be c(-22). Let r(l) be the third derivative of 3*l**2 + 1/30*l**5 - 2/3*l**3 + 1/12*l**m + 0 + 0*l. Let r(j) = 0. What is j?
-2, 1
Let i(u) be the third derivative of u**7/1260 - u**6/180 + u**5/60 + 7*u**4/8 + 33*u**2. Let q(c) be the second derivative of i(c). Let q(m) = 0. What is m?
1
Suppose 49*g = -21*g. Let z(n) be the third derivative of 0 + 0*n**3 - 6*n**2 + 0*n**4 + 1/240*n**6 + 1/60*n**5 + g*n. Factor z(y).
y**2*(y + 2)/2
Let p(g) be the second derivative of 5*g**7/63 - 2*g**6/75 - g**5/3 + 2*g**4/15 + 5*g**3/9 - 2*g**2/5 + 252*g. Find o, given that p(o) = 0.
-1, 6/25, 1
Factor 4 + 32/3*x**2 + 1/3*x**5 - 4/3*x**4 - 2*x**3 - 35/3*x.
(x - 4)*(x - 1)**3*(x + 3)/3
Let 0*s**3 - 2/3*s**2 + 0 + 2/3*s**4 + 0*s = 0. Calculate s.
-1, 0, 1
Let u(l) be the second derivative of -3*l**5/20 - 41*l**4/4 + 85*l**3/2 - 129*l**2/2 + 22*l. Factor u(s).
-3*(s - 1)**2*(s + 43)
Suppose -q - 2*q = -15. Suppose -3*k - i + 10 = 0, 4*k - q*i = 2*k + 35. Find h such that 2 + 4*h - 10*h**2 - 2*h - k*h**5 + 4*h**3 + 8*h**4 - h = 0.
-1, -2/5, 1
Let h(k) = 13*k**2 + 421*k + 420. Let l(n) = 11*n**2 + 422*n + 420. Let y(x) = 3*h(x) - 4*l(x). Solve y(c) = 0 for c.
-84, -1
Let j(z) = 2*z**2 + 4*z - 1. Let p be j(-3). Let i be (18/p)/2 + (-2)/(-10). Let -1/4*f + 0 - 1/4*f**i = 0. Calculate f.
-1, 0
Factor -3/7*q**4 - 3060/7*q - 1047/7*q**2 - 2700/7 - 102/7*q**3.
-3*(q + 2)**2*(q + 15)**2/7
Suppose -52 = -4*d + 5*b, 2*d - 5*b - 276 = -230. Factor 26/3*l**2 + 8/3*l**4 + 8*l**d + 4*l + 2/3.
2*(l + 1)**2*(2*l + 1)**2/3
Suppose c + 8 = 5*c. Factor -16*w + 13*w**2 + 3*w**c - w + w - 4*w**3.
-4*w*(w - 2)**2
Suppose -89373 + 4450*a - 3936*a - 9163*a - 3*a**3 - 279*a**2 = 0. Calculate a.
-31
Let x(a) be the second derivative of 1/270*a**6 - 2/27*a**4 + 0*a**3 + 22*a + 8/9*a**2 + 0*a**5 + 0. Let x(d) = 0. What is d?
-2, 2
Let t be 26/52 + (-18)/(-4). Let y(h) be the first derivative of 0*h**2 + 7 + 2/21*h**3 - 1/7*h**6 - 2/7*h**t + 0*h - 1/14*h**4. Factor y(b).
-2*b**2*(b + 1)**2*(3*b - 1)/7
Let x(i) = -i**2 - i. Let d(l) = -3*l**3 - 12*l**2 - 9*l. Let b(r) = -d(r) + 6*x(r). Suppose b(n) = 0. Calculate n.
-1, 0
Let z(o) be the first derivative of -2*o**6/9 - 8*o**5/15 + 7*o**4/3 - 16*o**3/9 + 37. Let z(a) = 0. What is a?
-4, 0, 1
Let d(q) = -2*q. Suppose 3*a - 5*a = -18. Let t(k) = -k**2 - 4*k + 7. Let b be t(-5). Let r(v) = -v**2 + 8*v. Let y(l) = a*d(l) + b*r(l). Factor y(z).
-2*z*(z + 1)
Let s(q) = -8*q**2 - 36*q. Let a(f) = -7*f**2 - 34*f. Let h(d) = 4*a(d) - 3*s(d). Solve h(m) = 0.
-7, 0
Let q(c) = -597*c - 1. Let n be q(-1). Factor n*w + 3*w**4 - 596*w + 12*w**5.
3*w**4*(4*w + 1)
Let c(q) be the first derivative of 5*q**4/12 - 5*q**3/3 - 20*q**2 + 6*q + 3. Let f(g) be the first derivative of c(g). Factor f(t).
5*(t - 4)*(t + 2)
Let h(u) = -u + 4. Let y be h(8). Let l(i) = -i**2 - 3*i + 7. Let c be l(y). Find o, given that -6*o - 19*o**3 - 8*o**3 - 3*o**4 + 15*o**c - 15*o**2 = 0.
-2, -1, 0
Let w(l) = 10*l**5 + 20*l**4 + 30*l**3 + 15*l**2 - 5*l. Let a(k) = -k**5 - k**3 - k**2 + k. Let n(c) = -5*a(c) - w(c). Find x such that n(x) = 0.
-2, -1, 0
Let s = -168 - -6049/36. Let f(k) be the third derivative of 1/27*k**3 - k**2 + 0*k + 1/540*k**6 + s*k**4 + 0 + 1/90*k**5. Factor f(o).
2*(o + 1)**3/9
Let s be (-2216)/(-140) + 6/(-14). Let u = -15 + s. Solve 4/5*j - u*j**4 - 4/5*j**3 + 2/5 + 0*j**2 = 0.
-1, 1
Let y(l) = 2*l**3 + l. Let k be y(1). Determine p so that 14*p**k + 13*p**3 + 2*p + 7*p**5 + 23*p**4 - p + p + 13*p**2 = 0.
-1, -2/7, 0
Solve 8*q**3 + 78*q**2 - q**5 - 7*q - 4 - 72*q**2 - 2 = 0.
-2, -1, 1, 3
Let n be (5/(-60)*-1)/(3/8). Let z = n - -8/45. Factor -1/5 + z*r**2 - 1/5*r.
(r - 1)*(2*r + 1)/5
Let r = 43 + -40. Let 219*x**r + 226*x**3 - 441*x**3 - 8*x**2 + 8*x**4 - 4*x**5 = 0. What is x?
-1, 0, 1, 2
Let z be (-31)/(-42) + -7*4/168. Let u(x) be the first derivative of 