ve of k**6/780 - k**5/390 - 25*k**4/78 - 16*k**3/13 - 5668*k**2 - 1. Suppose p(j) = 0. What is j?
-6, -1, 8
Suppose 4/5*v**3 - 704/5*v**2 + 0 + 30976/5*v = 0. What is v?
0, 88
Let m be -9 - ((-290)/90 - 6) - (-34)/9. Let d(i) be the first derivative of 1/2*i**3 + m + 5/2*i**2 + 3/2*i. Factor d(u).
(u + 3)*(3*u + 1)/2
Suppose -2*m = -0*z + 5*z - 20, 0 = -5*z + 3*m + 20. Suppose 4*o - 9 = 3, -x = 3*o - 13. What is n in 0*n**4 - x*n**4 + n**z - n**5 = 0?
-3, 0
Let k(f) = 155*f**2 + 6970*f + 142885. Let j(s) = -63481*s + 63071*s - 9143 - 9*s**2 + 738. Let x(g) = 35*j(g) + 2*k(g). Find d such that x(d) = 0.
-41
Let m(h) be the first derivative of -2*h**5/35 + 4*h**4/7 - 32*h**3/21 - 2255. What is o in m(o) = 0?
0, 4
Let o(c) be the second derivative of 0*c**2 + 49/27*c**4 - 56/45*c**5 + 29/270*c**6 - 3 - 1/378*c**7 + 0*c**3 + 9*c. Let o(r) = 0. Calculate r.
0, 1, 14
Let z(u) be the first derivative of 23*u**4/3 - 58*u**3/3 + 12*u**2 + 87*u - 17. Let w(m) be the first derivative of z(m). Factor w(s).
4*(s - 1)*(23*s - 6)
Let i(c) be the second derivative of c**6/240 + 91*c**5/160 - 185*c**4/96 + 31*c**3/16 - 369*c + 2. Suppose i(p) = 0. What is p?
-93, 0, 1
Let m be (-3 + (-52)/(-8))*(-36)/(-21). Let r be (16/(-24))/(m/(-45)). Determine y, given that 5/2*y**4 + 0 + 0*y - r*y**3 + 5/2*y**2 = 0.
0, 1
Factor 4/3 - 14/9*u**3 - 34/9*u + 34/9*u**2 + 2/9*u**4.
2*(u - 3)*(u - 2)*(u - 1)**2/9
Let s = -83643 - -83643. Determine t so that -6/5*t**4 + 12/5*t**3 - 6/5*t**2 + 0*t + s = 0.
0, 1
Factor -1479364*g - 1937995*g - 2*g**3 + 970488980 + 873613259 - 2100727*g + 5754*g**2 - 80154081.
-2*(g - 959)**3
Suppose 23*n + 899 = -1608. Let q = n + 115. Factor -33/2*s**2 + 9/2*s**4 - q - 3/2*s**3 - 18*s + 3/2*s**5.
3*(s - 2)*(s + 1)**3*(s + 2)/2
Find l, given that 302/19*l + 8/19 - 4*l**2 = 0.
-1/38, 4
Let p(z) be the first derivative of 4*z**6/9 + 206*z**5/15 + 203*z**4/3 - 744*z**3 + 1170*z**2 - 450*z + 2250. Let p(c) = 0. What is c?
-15, 1/4, 1, 3
Let u be (-696)/12441*65/(-20). Factor -24/11 + 16/11*k - u*k**2.
-2*(k - 6)*(k - 2)/11
Let u = 3299 + -3296. Let v(z) be the second derivative of -5/2*z**5 - 40*z**2 - 100/3*z**u - 1/6*z**6 + 15*z - 55/4*z**4 + 0. Suppose v(k) = 0. What is k?
-4, -1
Let u(d) be the third derivative of -d**5/60 - d**4/4 + 80*d**3/3 + 935*d**2 - d. Factor u(z).
-(z - 10)*(z + 16)
Suppose 3*o + 5*b - 5 - 14 = 0, -5*o - 2*b = -19. Let g be (o/3)/(2 - (-33)/(-22)). Let l**2 + g*l**3 - 9/4*l**5 + 0 + 0*l - 3/4*l**4 = 0. Calculate l.
-2/3, 0, 1
Let h(p) be the third derivative of p**7/105 - 19*p**6/60 + 83*p**5/30 - 65*p**4/12 + 575*p**2. Factor h(a).
2*a*(a - 13)*(a - 5)*(a - 1)
Suppose 1311 + 1801 = 8*f. Let r = 389 - f. Factor -3/2*d**4 + 0*d**3 - 3*d + 9/2*d**2 + r.
-3*d*(d - 1)**2*(d + 2)/2
Suppose -5*k - 4*k - 261 = 0. Let a = k - -33. Factor -18*v**3 - 23*v**5 + 16*v**4 + 17*v**5 + a*v**2 + 4*v**3.
-2*v**2*(v - 1)**2*(3*v - 2)
Factor 21 + 7*f**3 - 5*f**3 - 30*f**2 + 27*f + 35 - 3*f.
2*(f - 14)*(f - 2)*(f + 1)
Factor -82/11*w + 80/11 + 2/11*w**2.
2*(w - 40)*(w - 1)/11
Let p(b) = 4*b**3 - 5*b**2 + b - 3. Let u(r) = 26*r**3 - 50*r**2 - 66*r + 702. Let d(o) = -6*p(o) + u(o). Factor d(a).
2*(a - 10)*(a - 6)*(a + 6)
Let k(j) be the third derivative of 0*j + 1/30*j**5 + 1/3*j**4 - 103*j**2 + 0 + j**3. Determine f, given that k(f) = 0.
-3, -1
Let o(g) be the first derivative of 7/15*g**3 + 0*g + 11/20*g**4 - 7/25*g**5 - 3/10*g**6 + 1 - 1/5*g**2. Let o(z) = 0. Calculate z.
-1, 0, 2/9, 1
Suppose 547/4*o + 68*o**2 + 137/2 - 1/4*o**3 = 0. Calculate o.
-1, 274
Let o(x) be the third derivative of x**6/480 - x**5/48 - 13*x**4/96 - 7*x**3/24 - 288*x**2. Factor o(p).
(p - 7)*(p + 1)**2/4
Let h be 201/10*(-9 - (-78)/9). Let x = -13/2 - h. Let x*u - 1/10*u**2 + 0 = 0. Calculate u.
0, 2
Suppose 3 = u + 1. Suppose 0 = 5*l + 3*c - 22, -c - u = -6. Factor -l*j**3 - 9*j + 2*j**3 - 4*j**3 - 12 + 12*j**2 + 13*j.
-4*(j - 3)*(j - 1)*(j + 1)
Let f(r) be the first derivative of 1/18*r**3 - r + 49 - 1/12*r**2. Suppose f(w) = 0. Calculate w.
-2, 3
Let o(b) be the first derivative of b**6/3 - 18*b**5/5 - 133*b**4/2 + 1778*b**3/3 + 3432*b**2 + 4840*b + 7001. Solve o(l) = 0 for l.
-10, -2, -1, 11
Let m(z) = -z - 1. Let b(i) = 2*i**2 + 3*i - 3. Let h(u) = b(u) + 2*m(u). Let f(n) = n**3 - 2*n**2 - 1. Let c(r) = -2*f(r) + 2*h(r). Factor c(a).
-2*(a - 4)*(a - 1)*(a + 1)
Let n(l) be the third derivative of 0 + 22/3*l**3 + 2*l**4 + 1/15*l**5 - 3*l + l**2. Suppose n(j) = 0. Calculate j.
-11, -1
Let z be 26/(-120)*12/(-78). Let n(m) be the second derivative of -25/3*m**3 - 10*m + 5/6*m**4 + 125/3*m**2 - z*m**5 + 0. Factor n(q).
-2*(q - 5)**3/3
Find j such that 2/5*j**2 + 52/5*j + 0 = 0.
-26, 0
Factor 320/9 - 2/9*u**2 - 8*u.
-2*(u - 4)*(u + 40)/9
Find n, given that -1071/4*n + 315/4*n**3 - 6*n**4 + 147/4 - 879/4*n**2 = 0.
-1, 1/8, 7
Let j be (-9)/12 - (-255)/(-12). Let c(a) = a + 30. Let k be c(j). Determine u, given that -17*u + k*u**3 - 20*u**2 + 22*u + 7*u**3 = 0.
0, 1/3, 1
Suppose 10237 - 2704*n + 28*n**2 + 33*n**2 + 30*n**2 - 95*n**2 - 467213 = 0. What is n?
-338
Suppose -8*x = -155 + 115. Suppose 18*i - 92 = -x*i. Factor 4/5*d**4 - 16/5*d**3 - 8/5*d + i*d**2 + 0.
4*d*(d - 2)*(d - 1)**2/5
Suppose -3*b - 7 = -4*q - q, -3*b - 3*q + 9 = 0. Let v be b/3*19 - (-14)/(-42). Factor -3/2*u**3 + 3/2*u**2 + v*u - 6.
-3*(u - 2)*(u - 1)*(u + 2)/2
Let l = -219 + 231. What is i in -45 - l*i**2 + 24*i + 16 + 13 + 2*i**3 = 0?
2
Let p(u) be the third derivative of -u**5/450 - 7*u**4/10 - 441*u**3/5 - 661*u**2. Factor p(c).
-2*(c + 63)**2/15
Let q be (64/(-3))/(60/(-18) + 4). Let n be 2/q*(-1220)/61. Let -1/4*a**3 + 1 - 2*a + n*a**2 = 0. What is a?
1, 2
Let z be 12*4/(-64) + (-421)/(-28). Solve 256/7*j**2 + z + 320/7*j = 0.
-5/8
Suppose 0 = 3*h - 2 - 4. Suppose -2*z = -2*v + 2, -h*v + 9 = v - z. What is a in -8*a**2 + 15*a**5 + a**5 + v*a**3 + 8*a**2 + 20*a**4 = 0?
-1, -1/4, 0
Let k = -509281 + 509281. Factor k - 1/4*h**2 + 1/4*h.
-h*(h - 1)/4
Let g(y) be the second derivative of y**4/48 + 20*y**3/3 + 775*y**2/8 + 43*y. Find f, given that g(f) = 0.
-155, -5
Suppose -506*p + 1018 - 220 = -107*p. Find u, given that -242/9 - 2/9*u**p + 44/9*u = 0.
11
Let -3/2*u**3 - 9/4*u**2 - 3/8 - 3/2*u - 3/8*u**4 = 0. Calculate u.
-1
Find y, given that 1/8*y**4 + 9/8*y**2 + 4 + 5/4*y**3 - 13/2*y = 0.
-8, -4, 1
Let j(r) be the first derivative of 16*r**5/5 + 31*r**4 - 32*r**3/3 - 3233. Factor j(i).
4*i**2*(i + 8)*(4*i - 1)
Let f = 404 - 402. Let j be f - -28*9/(-162). Factor j - 2/9*t**2 + 2/9*t.
-2*(t - 2)*(t + 1)/9
Let u = 3/143179 + 1288596/715895. Suppose 0*t - u*t**2 + 0 + 3/5*t**4 - 6/5*t**3 = 0. Calculate t.
-1, 0, 3
Factor -67*t**2 + 32*t**2 - 128*t - 9*t**5 + 7*t**5 - 157*t**2 - 24*t**4 - 104*t**3.
-2*t*(t + 2)**2*(t + 4)**2
Let f(p) be the first derivative of 4/45*p**5 + 8/9*p**2 + 42 + 4/9*p + 4/9*p**4 + 8/9*p**3. Factor f(i).
4*(i + 1)**4/9
Let j(c) = -2*c**5 + c**4 + c**3 + c + 1. Let p(f) = 7*f**5 - 4*f**4 - 27*f**3 - 4*f**2 + 157*f + 189. Let h(m) = 3*j(m) + p(m). Let h(z) = 0. What is z?
-3, -2, 4
Let w(z) be the first derivative of -z**3/27 - z**2/9 + 16*z/3 - 3288. Factor w(o).
-(o - 6)*(o + 8)/9
Let q(v) be the first derivative of -5*v**6/6 - 30*v**5 - 805*v**4/4 + 3133. Solve q(x) = 0.
-23, -7, 0
Let i(f) be the second derivative of f**5/10 + 5*f**4/18 - 58*f**3/9 - 40*f**2/3 + 470*f. Factor i(q).
2*(q - 4)*(q + 5)*(3*q + 2)/3
Determine h, given that 158420 + 842*h**2 - 1586*h**2 + 4*h**3 + 156640*h - 1031*h**2 + h**3 = 0.
-1, 178
Let h(f) be the third derivative of -f**6/60 - 34*f**5/15 + 23*f**4/4 + f**2 + 527. Factor h(m).
-2*m*(m - 1)*(m + 69)
Solve -1880/3*f**4 - 84*f - 3472/3*f**2 - 1384*f**3 + 216 - 100*f**5 = 0.
-2, -9/5, -1, 1/3
Find b such that -98*b**3 + 306/5*b**4 + 0 + 0*b + 30*b**2 + 162/5*b**5 = 0.
-3, 0, 5/9
Let p(t) = -9*t**3 + 195*t**2 - 2539*t + 10981. Let y(d) = 4*d + 36. Let h be y(-10). Let v(x) = x**3 + x + 1. Let i(f) = h*v(f) - p(f). What is n in i(n) = 0?
13
Solve 16388608324/3 + 676*f**4 - 772156/3*f**3 - 2817804198*f + 131090432/3*f**2 - 2/3*f**5 = 0.
2, 253
Let p(b) be the first derivative of -4*b**3/27 - 52*b**2/3 - 6751. Factor p(u).
-4*u*(u + 78)/9
Let z(g) be the third derivative of g**7/315 - 2*g**6/45 - 2*g**5/9 - 886*g**2. Factor z(b).
2*b**2*(b - 10