= -25*q**3 + 3*q - 4. Let w be n(1). Let d = 73 + w. Factor x**3 + 44*x + 2*x**3 - d*x.
3*x*(x - 1)*(x + 1)
Let p = 1204 - 1199. Suppose 0 = -p*a + 5*i + 54 - 9, 2*i = -10. Determine b, given that -3/5*b**2 - 6/5*b**3 + 6/5*b + 3/5*b**a + 0 = 0.
-1, 0, 1, 2
Let j = -2839/2 + 99367/70. Let m(d) be the third derivative of 1/168*d**8 - 8*d**2 + j*d**7 + 0*d + 0*d**4 + 0*d**3 + 0 + 1/30*d**6 + 0*d**5. Factor m(w).
2*w**3*(w + 1)*(w + 2)
Let w(s) be the first derivative of 7/2*s**2 + 5*s - 209 + 7/12*s**3 - 1/16*s**4. Determine f, given that w(f) = 0.
-2, -1, 10
Let b(j) = 4*j**2 + 26*j - 2. Let o(p) be the second derivative of p**4/12 + 5*p**3/6 - 2*p + 10. Let s(u) = -b(u) + 6*o(u). What is m in s(m) = 0?
-1
Let j = -1194446 + 1194463. Solve 21 + 13/3*w**2 + j*w + 1/3*w**3 = 0.
-7, -3
Let n(c) be the third derivative of 3/70*c**7 + 0*c**3 + 0*c**4 + 7/40*c**6 + 1/10*c**5 - 104*c**2 + 0*c + 0. Factor n(b).
3*b**2*(b + 2)*(3*b + 1)
Suppose z + 4*m - 3*m - 10 = 0, 2*m + 36 = 5*z. Suppose -3*x + z = -x. Factor 2*q**5 + 12*q**x + 130*q**3 - 134*q**3 - 10*q**5.
-4*q**3*(q - 1)*(2*q - 1)
Let b(p) = -2*p**3 - p**2 + p. Let a(l) = -3*l**3 + 42*l**2 - 53*l - 18. Suppose -12*r - 40 = 8*r. Let t(k) = r*a(k) - 4*b(k). What is x in t(x) = 0?
-2/7, 3
Suppose 36*s + 71*s - 25*s - 226 = 512. Factor s*q + 0 - 21/4*q**3 + 30*q**2.
-3*q*(q - 6)*(7*q + 2)/4
Let b(n) be the first derivative of n**6/6 - n**5 - 11*n**4/2 - 16*n**3/3 + 985. Suppose b(j) = 0. What is j?
-2, -1, 0, 8
Let i = 16606847/55 - 301951. Let d = i - -96/11. Factor -d*g**5 + 0*g**2 + 4/5*g**4 - 2/5*g**3 + 0 + 0*g.
-2*g**3*(g - 1)**2/5
Let x(h) = -h**2 + 6*h - 1. Let n(p) = -436*p + 25086. Let q(u) = -n(u) + 2*x(u). Factor q(s).
-2*(s - 112)**2
Let k = -1339 + 1341. Let h(l) be the third derivative of 0*l**4 + 0*l**3 + 0 + 0*l + 9*l**k - 1/40*l**6 + 1/210*l**7 + 0*l**5. Factor h(u).
u**3*(u - 3)
Let b = -43 - -48. Factor -4*a**2 - 5*a + 16*a**2 - 12*a - 3*a**3 + b*a.
-3*a*(a - 2)**2
Let r(p) be the second derivative of 3*p - 12 + 1/40*p**5 - 5/4*p**3 + 1/4*p**4 + 2*p**2. Determine c so that r(c) = 0.
-8, 1
Let -64/13*d**2 + 224/13 - 24/13*d**3 + 2/13*d**4 + 96/13*d = 0. Calculate d.
-2, 2, 14
Let q(a) = 2*a**3 + 2*a**2 - a - 37. Let j be q(6). Let z = 461 - j. Factor -2/7*u**3 + z*u**2 - 4/7 + 6/7*u.
-2*(u - 1)**2*(u + 2)/7
Let a(f) be the second derivative of f**4/18 + 8*f**3/3 + 21*f**2 + 425*f. Determine n so that a(n) = 0.
-21, -3
Let b(m) be the third derivative of -m**8/60480 - m**7/2160 - m**5/30 - m**3/2 + 35*m**2. Let n(u) be the third derivative of b(u). Factor n(h).
-h*(h + 7)/3
Let c be (-900)/15*(-3)/6. Suppose -c*b + 15*b = -75. Factor 0 + 0*d**2 + 0*d - 1/2*d**4 - d**3 + 1/2*d**b.
d**3*(d - 2)*(d + 1)/2
Let w = 27 + -27. Suppose w = 3*v - 5*v + 4. Factor 3*m**3 - 5*m**2 - 15*m + 20*m**v - 3*m**2 + 0*m**3.
3*m*(m - 1)*(m + 5)
Let x(p) be the first derivative of p**4/2 - 26*p**3 + 143*p**2 - 210*p + 326. Let x(c) = 0. Calculate c.
1, 3, 35
Let r(c) be the third derivative of -35*c**8/48 - 43*c**7/3 - 1187*c**6/12 - 274*c**5 - 1335*c**4/8 - 45*c**3 + 13*c**2 + 51. Let r(l) = 0. Calculate l.
-6, -3, -1/7
Let m(t) be the first derivative of -7/10*t**5 + 1/10*t**6 + 16*t + 5*t**3 + 19 + 9/2*t**2 + 1/3*t**4. Let b(s) be the first derivative of m(s). Factor b(j).
(j - 3)**2*(j + 1)*(3*j + 1)
Factor 16*j**2 + 28*j**4 + 0*j + 268/3*j**3 + 0.
4*j**2*(j + 3)*(21*j + 4)/3
Let s(m) be the third derivative of -m**8/112 - m**7/5 - 69*m**6/40 - 7*m**5 - 25*m**4/2 + 54*m**2 - 3*m + 5. Let s(w) = 0. Calculate w.
-5, -2, 0
Let r(k) = 6*k**4 - 5*k**3 + 4*k**2 + 3*k + 2. Let l(d) = -3*d**2 + 0*d**2 - d**3 - 45*d - 1 + 44*d + 2*d**2 - d**4. Let x(s) = -10*l(s) - 5*r(s). Factor x(q).
-5*q*(q - 1)**2*(4*q + 1)
Factor 1/4*u**2 + 347/4*u - 349/2.
(u - 2)*(u + 349)/4
Suppose -53*k - 117 - 123 = -133*k. Let q(v) be the first derivative of -2/75*v**5 - 1/45*v**6 - 39 - 2/15*v + 1/15*v**4 - 1/15*v**2 + 4/45*v**k. Factor q(m).
-2*(m - 1)**2*(m + 1)**3/15
Let b(f) be the first derivative of 3/25*f**5 + 0*f - 15*f**2 - 9/5*f**4 + 9*f**3 + 268. Factor b(h).
3*h*(h - 5)**2*(h - 2)/5
Let r(k) be the second derivative of k**4/42 + 31*k**3/21 - 180*k**2/7 - 35*k - 19. Suppose r(a) = 0. What is a?
-36, 5
Find g such that 322*g + 2/3*g**3 - 474 - 170/3*g**2 = 0.
3, 79
Let p(k) be the first derivative of 2*k**5/5 + 5586*k**4 + 31203396*k**3 + 87151085028*k**2 + 121706490241602*k - 1534. Factor p(t).
2*(t + 2793)**4
Let p(w) be the second derivative of 175*w + 0 - 5/12*w**6 + 29/8*w**5 - 4*w**2 - 17/2*w**4 + 25/3*w**3. What is a in p(a) = 0?
2/5, 1, 4
Let q(g) be the first derivative of -5*g**3/3 + 275*g**2/2 - 1020*g - 2106. Suppose q(d) = 0. What is d?
4, 51
Find q such that 142560*q - 634083 + 468331 - 1000648 + 19*q**4 - q**4 - 19*q**4 + 132*q**3 - 6516*q**2 = 0.
30, 36
Let z(c) = -8*c**3 + 56*c**2 + 634*c - 2803. Let h(i) = -4*i**3 + 28*i**2 + 316*i - 1402. Let w(r) = 13*h(r) - 6*z(r). Suppose w(a) = 0. What is a?
-8, 4, 11
Let l(r) be the first derivative of -3*r**4/8 + 27*r**3/2 - 729*r**2/4 + 2187*r/2 - 64. Factor l(b).
-3*(b - 9)**3/2
Let v(b) be the third derivative of 1/10*b**5 - 54*b**2 + 1/40*b**6 + 1 + 0*b**4 + 0*b - 3/70*b**7 + 0*b**3. Factor v(k).
-3*k**2*(k - 1)*(3*k + 2)
Let z(j) = j**3 - j. Let m be z(1). Suppose -8 = -4*w - m. Let -2*g**3 + 9*g**2 + 78 - 78 - 10*g + 3*g**w = 0. What is g?
0, 1, 5
Let 14/9*d - 20/9 - 2/9*d**2 = 0. What is d?
2, 5
Factor 0 - 1/2*h**4 + 0*h - 11*h**3 - 21/2*h**2.
-h**2*(h + 1)*(h + 21)/2
Let r be (-2 - -7)*1*-9. Let d = -39 - r. Solve -d*l - 2*l - 2 + 5*l - l**2 = 0 for l.
-2, -1
Let z(n) be the third derivative of n**5/630 + n**4/42 - 16*n**3/63 + 9*n**2 + 1. Find v, given that z(v) = 0.
-8, 2
Let a = -7954 - -7966. Let u(n) be the first derivative of 10*n**2 + a*n**3 - 5 - 4/5*n**5 + 3*n**4 + 0*n. Let u(m) = 0. Calculate m.
-1, 0, 5
Let g(u) be the first derivative of 4/5*u**2 + 2/5*u**3 + 1/10*u**4 + 3 + 1/100*u**5 + 18*u. Let j(l) be the first derivative of g(l). Solve j(n) = 0.
-2
Let x(l) be the first derivative of -l**6/6 - 78*l**5/5 - 1595*l**4/4 - 2810*l**3/3 + 798*l**2 + 2888*l + 1230. Let x(f) = 0. What is f?
-38, -2, -1, 1
Let t(d) be the second derivative of d**7/36 - d**6/60 - 31*d**5/20 - 34*d**4/9 - 8*d**3/3 - 7*d + 88. Find a such that t(a) = 0.
-4, -1, -4/7, 0, 6
Let q(s) be the second derivative of s**4/6 - 2258*s**3/3 + 1274641*s**2 - 21*s + 68. Factor q(o).
2*(o - 1129)**2
Let z(y) be the first derivative of -2/3*y**3 - 130 + 0*y - 1/10*y**4 + 6/5*y**2. Factor z(s).
-2*s*(s - 1)*(s + 6)/5
Let d(y) = 8*y**3 - y**2 - y + 1. Let r(f) = 33*f**3 + 230*f**2 + 13205*f - 56640. Let s(u) = 4*d(u) - r(u). Let s(t) = 0. What is t?
-119, 4
Let v = 795 + -652. Suppose l - 3 = -2*i, 141*l + 6 = 2*i + v*l. What is z in -5/3*z**3 - 7/3*z**4 + i*z + 0 + 2/3*z**2 = 0?
-1, 0, 2/7
Find d such that -270/19*d**3 + 2/19*d**5 + 268/19*d**4 + 0 + 0*d**2 + 0*d = 0.
-135, 0, 1
Let w(o) = -7*o**3 - 6*o**2 + 367*o - 352. Let n(r) = -155*r**3 - 135*r**2 + 8075*r - 7740. Let c(l) = -2*n(l) + 45*w(l). Factor c(u).
-5*(u - 8)*(u - 1)*(u + 9)
Suppose 4*v = 2*m - 34, -4*m = 2 - 6. Let j = v - -11. Factor -16*q**3 + q**4 - j*q**4 + 12*q**3.
-2*q**3*(q + 2)
Let x = -1398 - -1403. Let w(b) be the first derivative of 2/7*b**4 - 32 + 0*b**3 + 0*b**2 + 0*b + 4/35*b**x. Factor w(t).
4*t**3*(t + 2)/7
Suppose 0 = -3*p + 5*l + 83, -p + 71 = 31*l - 36*l. Let q be 5 - (-3 + 2) - 2. Suppose -3/2*b**2 - 7/2*b**q + p*b**3 - b + 0 = 0. Calculate b.
-2/7, 0, 1
Let k(d) be the first derivative of -90*d - 49 - 3/10*d**4 - 182/15*d**3 - 141*d**2. Factor k(q).
-2*(q + 15)**2*(3*q + 1)/5
Factor -3/4*p**3 + 69/4*p**2 + 171/4 - 237/4*p.
-3*(p - 19)*(p - 3)*(p - 1)/4
Let y be (-1)/(6/(-9))*(-20 - -22). Let 26*b**2 - 24*b - 26*b**2 - 46*b**2 + 266*b**4 + 2*b**5 - 18*b**y - 260*b**4 = 0. What is b?
-4, -1, 0, 3
Let k = 42109/16858 - -18/8429. Factor 5/2*b**4 - 55/2*b - 45/2*b**2 - 10 - k*b**3.
5*(b - 4)*(b + 1)**3/2
Let c(t) = -t**3 + t**2 + t + 1. Let j(y) be the first derivative of -y**5/5 + 7*y**4/4 - 4*y**3 + 5*y**2/2 - y - 13. Let w(o) = c(o) + j(o). Factor w(l).
-l*(l - 3)*(l - 2)*(l - 1)
Factor -7/5*f + 1/5*f**2 - 44/5.
(f - 11)*(f + 4)/5
Let u(x) be the first derivative of -80*x + 145*x**2 - 262 + 25/4*x