)/3
Let m be (-1 - 7)/(10/(-5)). Factor -4 - 96*r + 8*r**2 - 4*r**m + 96*r.
-4*(r - 1)**2*(r + 1)**2
Find c, given that 44*c - 10 - 21*c + c**3 - 20*c + 6*c**2 = 0.
-5, -2, 1
Let v = 41 - 24. Factor v*k**3 - 9*k - 50*k**4 + k - 107*k**3 - 48*k**2.
-2*k*(k + 1)*(5*k + 2)**2
Factor 71*u**3 + 20*u - 4*u**5 - 35*u**4 + 4*u**3 + 9*u**5 - 65*u**2.
5*u*(u - 4)*(u - 1)**3
Let t(a) be the first derivative of a**8/672 - a**6/240 + a**2/2 + 3*a - 25. Let j(b) be the second derivative of t(b). Suppose j(i) = 0. What is i?
-1, 0, 1
Let g(b) be the third derivative of b**9/12096 + b**8/2016 + b**7/1008 - b**5/60 + 8*b**2. Let j(w) be the third derivative of g(w). Find k such that j(k) = 0.
-1, 0
Let i(h) = h**3 + h**2 + h + 4. Let f be i(-2). Let z be ((0 - f)/2)/(12/24). Determine o, given that 1/7*o**z - o**4 + 0*o + 0 + 2/7*o**3 + 4/7*o**5 = 0.
-1/4, 0, 1
Let s(l) be the first derivative of l**4/6 - l**2 - 4*l/3 - 27. Let s(r) = 0. Calculate r.
-1, 2
Let j(g) = 3*g**2 - g + 1. Let l be j(2). Let u = l - 9. What is h in -4*h**3 + 3*h**u + 3 + 7*h**3 - 3*h - 3 - 3*h**4 = 0?
-1, 0, 1
Let a(f) be the third derivative of 0*f + 0*f**3 - 2/15*f**5 + 1/4*f**4 + 0 + 1/60*f**6 - 20*f**2. Factor a(d).
2*d*(d - 3)*(d - 1)
Suppose 4*u - 2017 = u + t, u + t - 671 = 0. Let k be -5 + u/66 + -5. Suppose k*b**3 + 2/11*b**5 + 4/11*b**4 + 0 + 0*b**2 + 0*b = 0. Calculate b.
-1, 0
Let z(t) be the first derivative of -t**5/90 - 2*t**4/27 - 4*t**3/27 - 22*t + 16. Let v(o) be the first derivative of z(o). Factor v(x).
-2*x*(x + 2)**2/9
Let n(z) be the second derivative of z**5/30 + 43*z**4/72 + 101*z**3/36 - 7*z**2/3 - 26*z. What is h in n(h) = 0?
-7, -4, 1/4
Let u(b) be the second derivative of -b**6/360 + b**5/48 - b**4/24 + 711*b. Solve u(h) = 0 for h.
0, 2, 3
Let d = 51 - 49. Let m be (2/(-9))/(-2*d/9). Let -m + 0*k - 1/2*k**4 + 0*k**3 + k**2 = 0. What is k?
-1, 1
Suppose 40*x = 72*x - 64. Let 10/3*s**x + 0 + 4/3*s = 0. What is s?
-2/5, 0
Let d = 3242 - 22658/7. Suppose -8/7*s + 4*s**2 - 4/7*s**5 + 0 + 20/7*s**4 - d*s**3 = 0. Calculate s.
0, 1, 2
Let r(u) = -u**2 + 7*u + 12. Let k be r(8). Suppose -1 = -k*j + 11. Factor -6*f + 17*f**2 - 3*f**j + 3*f**2 - 11*f**2.
-3*f*(f - 2)*(f - 1)
Let b(s) = s**4 + s**2 + 1. Suppose 7*c - 5*n - 26 = 10*c, -c + 5*n + 18 = 0. Let j(d) = 7*d**4 + 5*d**3 - 8*d**2 + 2. Let a(q) = c*b(q) + j(q). Factor a(g).
5*g**2*(g - 1)*(g + 2)
Suppose -22 - 20 = -2*z. Let y be 32/6*(z/(-30) - -1). Factor 2/5 - 6/5*q - y*q**2.
-2*(q + 1)*(4*q - 1)/5
Let c(j) be the third derivative of j**7/1260 + 7*j**6/1440 - j**5/120 - j**4/3 + 10*j**2. Let m(l) be the second derivative of c(l). Find q such that m(q) = 0.
-2, 1/4
Let v(a) = a**3 - 4*a**2 + 5*a - 4. Let p be v(3). Let b = 13176/7 - 1882. What is g in 8/7*g + b*g**p + 8/7 = 0?
-2
Let c(u) be the third derivative of -2*u**7/105 + u**6/30 + 7*u**5/15 - u**4/6 - 4*u**3 + 179*u**2. Let c(t) = 0. What is t?
-2, -1, 1, 3
Let i = -714/5 - -143. Let p(g) be the first derivative of 1/15*g**3 - 1 - 1/25*g**5 - 1/10*g**4 + 0*g + i*g**2. Factor p(d).
-d*(d - 1)*(d + 1)*(d + 2)/5
Let t(i) be the first derivative of -4*i - 1/3*i**3 + 0*i**2 - 1/5*i**5 + 5/12*i**4 + 5 + 1/30*i**6. Let x(v) be the first derivative of t(v). Factor x(g).
g*(g - 2)*(g - 1)**2
Let h = 7 - 9. Let x be 6 + -5 + (-22)/h. Let x*b - 8*b + 2*b**3 - 2*b**3 + 14*b**2 - 8*b**3 = 0. Calculate b.
-1/4, 0, 2
Let f(l) be the third derivative of -l**5/40 + 11*l**4/4 - 121*l**3 - 32*l**2 - 2*l. Determine n, given that f(n) = 0.
22
Let l(m) = -4*m**3 - m**2 + m. Let g = -16 - -15. Let a be l(g). Let 4/7*j**a + 0*j - 6/7*j**3 + 0 + 2/7*j**4 = 0. What is j?
0, 1, 2
Let q = -2405 + 7216/3. Factor -q*w**4 + 0 - 2/3*w**3 + 0*w - 1/3*w**2.
-w**2*(w + 1)**2/3
Let u be (-7)/(-10) - (465/150 + -3). Factor 0 - 2/5*c**3 + u*c**2 + 2/5*c.
-c*(c - 2)*(2*c + 1)/5
Let h(s) be the second derivative of 0*s**2 + 7*s + 3/4*s**4 + 3/4*s**5 - s**3 + 0. Factor h(i).
3*i*(i + 1)*(5*i - 2)
Let p(b) be the third derivative of -2*b**7/105 - 17*b**6/360 + 49*b**5/180 - 23*b**4/72 + b**3/6 - 108*b**2. Let p(z) = 0. What is z?
-3, 1/4, 1/3, 1
Suppose 28*a - 48*a + 72*a = 156. Determine d, given that 4/3*d**2 + 3 + 7/2*d + 1/6*d**a = 0.
-3, -2
Let s(j) be the first derivative of -j**9/18144 + j**8/5040 - j**7/5040 - 29*j**3/3 + 20. Let c(m) be the third derivative of s(m). Factor c(x).
-x**3*(x - 1)**2/6
Let b(z) be the second derivative of 7/90*z**5 + 2/27*z**3 - 2*z + 0 - 1/6*z**4 + 0*z**2. Factor b(q).
2*q*(q - 1)*(7*q - 2)/9
Let j(n) be the third derivative of 15*n**2 + 3/8*n**5 + 9/80*n**6 + 1/140*n**7 - 25/16*n**4 + 0*n**3 + 0*n + 0. Let j(m) = 0. Calculate m.
-5, 0, 1
Let b = -729 + 734. Suppose -3*i - 16 = 2*v - 4*v, -i = -v + 6. Factor -v*w**4 + w**b + w**4 - w + 2*w**2 - w**4.
w*(w - 1)**3*(w + 1)
Let f(d) be the third derivative of 7*d**5/20 + 6*d**4 - 7*d**3/2 + 315*d**2. Solve f(y) = 0.
-7, 1/7
Let r(c) = 3*c**4 + 2*c**3 - 7*c**2 - c + 5. Let i(j) = -2*j**4 - j**3 + 1. Let s(y) = -2*i(y) - 2*r(y). What is d in s(d) = 0?
-3, -1, 1, 2
Let v be (7 - 8)*(0 + 0). Factor 3*b + 6*b**2 - 3*b**3 + v*b - 8*b + 2*b.
-3*b*(b - 1)**2
Suppose -688*i + 326*i = 0. Factor 0 - 2/5*n**4 + 0*n + i*n**2 - 6/5*n**3.
-2*n**3*(n + 3)/5
Let n = -279 - -281. Let g be 16/7 - (-4)/(-14). Factor -w**4 - 2*w + 0*w**4 - g*w**5 + 9*w**4 - 12*w**3 + 8*w**n.
-2*w*(w - 1)**4
Let y(d) = -12*d**4 + 8*d - 9*d - d**2 + 13*d**4 - d**3 + 1. Let k(x) = -5*x**5 + 10*x**3 + 15*x - 10. Let r(l) = k(l) + 10*y(l). Solve r(m) = 0.
-1, 0, 1
Suppose -6 + 18 = 3*o. Let d(t) be the first derivative of 1/7*t**2 - 2/21*t**3 + o + 0*t. Factor d(s).
-2*s*(s - 1)/7
Let r(p) = 5*p**3 - 2*p**2 + 3*p - 6. Let x = 57 + -56. Let c(t) = t**3 - t**2 + t - 1. Let b(s) = x*r(s) - 4*c(s). Factor b(n).
(n - 1)*(n + 1)*(n + 2)
Let r = 131 - 129. Let x = -14 - -14. Factor -3/2*f + 3/4*f**4 + x*f**r - 3/4 + 3/2*f**3.
3*(f - 1)*(f + 1)**3/4
Let 1/6*y**3 + 0*y + 0*y**4 + 0*y**2 - 1/6*y**5 + 0 = 0. What is y?
-1, 0, 1
Let d be 24/36*15/4*-2. Let c be (-48)/26 + (d - (-9 + 2)). Suppose -c*o**2 - 4/13*o + 0 = 0. What is o?
-2, 0
Suppose -404*d + 418*d = 0. Let y(u) be the third derivative of -2/105*u**7 + 0*u + 0*u**4 + 3*u**2 + 2/15*u**5 + 0 + d*u**3 + 1/30*u**6. Factor y(s).
-4*s**2*(s - 2)*(s + 1)
Let t be 42 + 2 + 3 + 2. Determine u, given that u**3 - t*u**2 + 25*u**2 + 3*u + 20*u**2 = 0.
0, 1, 3
Let s(a) = -19*a - 11. Let w be s(5). Let x = -6 - w. What is i in 2*i - 20*i**4 + 20*i**2 - 12*i**5 + 66*i**3 + 44*i**5 + x*i**4 = 0?
-1, -1/4, 0
Let y(w) = 6*w**2 + 6*w + 4. Let p(h) = -7*h**2 - 7*h - 5. Let k(c) = -5*p(c) - 6*y(c). Let r(s) = 4*s**2 + 4*s - 5. Let t(j) = -3*k(j) - r(j). Factor t(f).
-(f - 1)*(f + 2)
Let w(t) be the third derivative of t**10/75600 - t**5/60 - 3*t**2. Let a(y) be the third derivative of w(y). Let a(m) = 0. Calculate m.
0
Let k(u) be the first derivative of -u**3/4 - 579*u**2/8 - 144*u + 685. Factor k(i).
-3*(i + 1)*(i + 192)/4
Suppose w + 2*w - 48 = 0. What is m in 9*m - 9*m - w*m**4 - 24*m**2 - 36*m**3 - 4*m = 0?
-1, -1/4, 0
Let o = 79 - 77. Let p(r) be the third derivative of 1/12*r**6 - 1/168*r**8 - 1/105*r**7 + 4/3*r**3 - 2/3*r**4 + 6*r**o + 0 + 1/30*r**5 + 0*r. Factor p(y).
-2*(y - 1)**3*(y + 2)**2
Let t(j) be the second derivative of j**4/66 - 47*j**3/33 - 98*j**2/11 + 69*j - 1. Determine m, given that t(m) = 0.
-2, 49
Let v(b) = -b**3 + 4*b**2 + 3*b - 6. Let z be v(4). Suppose -2 = 4*a + p - 10, -5*p = -3*a + z. Factor -5*h**2 + h + h**a + 15*h.
-4*h*(h - 4)
Let j(d) = -d**3 - 3*d**2 + 5*d - 10. Let g be j(-5). Determine o, given that -70*o + 9 + 15 + 30*o**2 + g*o + 6 - 5*o**3 = 0.
1, 2, 3
Let l be ((-338754)/15)/(((-3)/(-2))/3). Let s = l + 45313. Factor s*j**3 + 486/5*j**2 + 108/5*j + 8/5.
(9*j + 2)**3/5
Factor t**5 + 1632*t**2 + 326 + 1978 + 3072*t + 224*t**3 + 57*t**4 + 2*t**5 + 208*t**3.
3*(t + 3)*(t + 4)**4
Let s(w) be the second derivative of 3*w**5/20 - w**4/2 + w**3/2 + 24*w. Let s(p) = 0. Calculate p.
0, 1
Factor -9/2*z**2 - 2 - 3/2*z**3 - 31/6*z - 1/6*z**4.
-(z + 1)**2*(z + 3)*(z + 4)/6
Let q(c) = -5*c**2 + 54*c - 109. Let t be q(8). What is p in -5/2 - 7/2*p**2 - 11/2*p - 1/2*p**t = 0?
-5, -1
Let u(x) be the first derivative of 1/20*x**5 + 1/8*x**4 + 8 - 1/24*x**6 + 0*x**2 + 0*x + 0*x**3. Factor 