actor z(u).
-u*(u + 1)
Let -202/5*g - 2/5*g**3 - 132/5 - 72/5*g**2 = 0. Calculate g.
-33, -2, -1
Let p(a) = 7*a**2 + 4*a. Let m(z) = -4*z**2 + 2*z**2 - 3*z - 2*z**2 - 3*z**2. Let n(l) = 3*m(l) + 2*p(l). Determine s, given that n(s) = 0.
-1/7, 0
Factor -14*l - 1/2*l**2 + 29/2.
-(l - 1)*(l + 29)/2
Let q(c) be the first derivative of 5/21*c**3 + 2 + 0*c + 1/14*c**4 - 3/14*c**2. Let q(m) = 0. What is m?
-3, 0, 1/2
Let d(x) be the first derivative of 0*x**2 + 10 + 2/3*x**3 - 2*x. Let d(c) = 0. What is c?
-1, 1
Let r = 232 + -142. Let t = r + -90. What is n in -3/4*n**2 + 3/4*n + t = 0?
0, 1
Let d be 20/15 + (-24)/18. Factor 0*x - 1/10*x**2 + d.
-x**2/10
Let -87/2*r**2 - 27/2*r**3 - 117/2*r - 3/2*r**4 - 27 = 0. Calculate r.
-3, -2, -1
Suppose 28 = 31*s + 400. Let y be (s/(-14))/(-7 + 8). Factor 0*h - 2/7*h**5 - 2/7*h**2 - y*h**3 - 6/7*h**4 + 0.
-2*h**2*(h + 1)**3/7
Let k = -293 + 293. Let s(n) be the second derivative of 5*n + k + 9/4*n**4 + 27/20*n**5 + 1/2*n**2 + 3/2*n**3. Let s(c) = 0. Calculate c.
-1/3
Let y(p) be the second derivative of p**6/30 - 23*p**5/40 - p**4/2 - 2*p - 5. Let y(f) = 0. Calculate f.
-1/2, 0, 12
Let n(k) be the first derivative of 3/10*k**6 + 9 + 0*k + 0*k**2 + 1/20*k**4 + 0*k**3 - 6/25*k**5. Factor n(c).
c**3*(3*c - 1)**2/5
Let j be (2/(-4)*(-13 + 13))/(-1). Let y(i) be the first derivative of -1/7*i**2 + 2/21*i**3 - 5 + j*i. Suppose y(n) = 0. Calculate n.
0, 1
Suppose 156 = -3*g - 222. Let y be (-12)/42 - (-57)/g*-1. Let 1/3 + y*v**2 - 1/2*v = 0. Calculate v.
1, 2
Let g = -21 + 62. Factor -15*u**2 + g*u - 5*u**3 + 40*u - 5 - 96*u.
-5*(u + 1)**3
Solve -31*f - 3 - 95*f**2 + 15*f**3 + 10 - 32 + 136*f = 0.
1/3, 1, 5
What is l in 12960*l - 60*l**5 + 32*l**5 - 21*l**3 + 30*l**5 - 60*l**4 - 4320*l**2 + 741*l**3 - 15552 = 0?
6
Let b be ((2/5)/(7/420))/2. Let u(q) = -968*q**2 - 347*q - 37. Let x(a) = 2420*a**2 + 868*a + 92. Let s(t) = b*u(t) + 5*x(t). Factor s(k).
4*(11*k + 2)**2
Let q(n) be the third derivative of 0*n**3 + 0 + 1/105*n**5 + 0*n - 6*n**2 + 1/84*n**4 + 1/420*n**6. Factor q(b).
2*b*(b + 1)**2/7
Let b(j) be the first derivative of 4*j**5/45 - 2*j**4 - 76*j**3/27 - 5. Determine c, given that b(c) = 0.
-1, 0, 19
Let s(j) be the first derivative of 0*j + 2/15*j**5 - 8/3*j**2 - j**4 + 8/3*j**3 - 9. Find l, given that s(l) = 0.
0, 2
Let j(n) be the second derivative of -n**5/140 + 2*n**3/7 - 13*n**2/2 - 10*n. Let o(u) be the first derivative of j(u). Let o(s) = 0. Calculate s.
-2, 2
Let a(j) be the third derivative of -j**7/210 + 7*j**6/48 + 19*j**5/120 - 3*j**4/8 + 593*j**2. Find w, given that a(w) = 0.
-1, 0, 1/2, 18
Let c(a) = -a**3 - 9*a**2 - 9*a - 1. Let o be c(-8). Determine q, given that -15*q**4 + 18*q**3 - 15*q**3 + o*q**3 - 5*q**2 + 5*q**3 + 5*q**5 = 0.
0, 1
Let o be (-4*9/72)/((-6)/4). Let o*h**2 + 48 + 8*h = 0. What is h?
-12
Let d(h) be the first derivative of 4/35*h**5 - 5/7*h**4 - 33 + 8/7*h**2 - 20/21*h**3 + 16/7*h + 2/21*h**6. Let d(j) = 0. What is j?
-2, -1, 1, 2
Let h(d) be the third derivative of -d**5/20 + 3*d**4/8 + 5*d**3 - 15*d**2. Let h(r) = 0. What is r?
-2, 5
Determine s so that -16*s - 2/3*s**2 + 0 = 0.
-24, 0
Let r = 37 - -61. Suppose -r = -3*y - 92. Determine m, given that 2/11*m**3 - 4/11*m**y - 2/11*m + 4/11 = 0.
-1, 1, 2
Let a(v) be the first derivative of 8 - 4/9*v - 1/9*v**2 + 2/27*v**3. Factor a(c).
2*(c - 2)*(c + 1)/9
Let z = 341 - 335. Let r(h) be the second derivative of 1/12*h**3 + 0*h**2 + 4*h + 3/20*h**5 + 1/15*h**z + 0 + 1/6*h**4 + 1/84*h**7. Let r(b) = 0. What is b?
-1, 0
Factor 1 - 5*t**2 - 48*t + 23 - 3 + 23 + 9*t**2.
4*(t - 11)*(t - 1)
Let t(z) be the second derivative of -z**7/1260 + z**6/45 - z**5/5 - 5*z**3/2 + 8*z. Let u(b) be the second derivative of t(b). Suppose u(h) = 0. Calculate h.
0, 6
Let m(f) be the third derivative of -f**5/12 + 95*f**4/12 - 1805*f**3/6 - 67*f**2. Factor m(p).
-5*(p - 19)**2
Suppose -t**4 - 2*t**3 + t**2 + 4*t**4 + 5*t**3 - 970*t**5 + 971*t**5 = 0. What is t?
-1, 0
Let v(o) be the third derivative of -o**8/1512 - o**7/1890 + o**6/360 + o**5/540 - o**4/216 + 3*o**2 + 7*o. Let v(g) = 0. Calculate g.
-1, 0, 1/2, 1
Let c = 2343 + -2331. Let n(r) be the third derivative of 4/15*r**3 + 0*r + 0 - c*r**2 + 1/15*r**4 - 1/30*r**5 - 1/100*r**6. Factor n(y).
-2*(y - 1)*(y + 2)*(3*y + 2)/5
Let z(v) be the first derivative of -v**4/60 + v**3/30 - 10*v - 6. Let x(i) be the first derivative of z(i). Solve x(s) = 0 for s.
0, 1
Solve 0*x**2 + 0*x + 8/11*x**4 + 2/11*x**5 - 10/11*x**3 + 0 = 0 for x.
-5, 0, 1
Let c(s) = s**3 + 31*s**2 + 40*s. Let p(q) = 3*q**3 + 94*q**2 + 113*q. Let r(i) = -7*c(i) + 2*p(i). Factor r(y).
-y*(y + 2)*(y + 27)
Let a(w) = -12*w**3 - 121*w**2 + 248*w - 115. Let s(v) = 17*v**3 + 181*v**2 - 371*v + 173. Let k(c) = -7*a(c) - 5*s(c). Suppose k(u) = 0. Calculate u.
-60, 1
Suppose v = -5*w - 18, -4*w = -v - v + 20. Suppose 10*m + v*m = 24. Factor 1/2*i**m + 1/4*i**3 + 1/4*i + 0.
i*(i + 1)**2/4
Let u(f) = 3*f**5 - 9*f**4 - 19*f**3 + 5*f**2 + 20*f + 20. Let w(m) = 2*m**5 - 9*m**4 - 20*m**3 + 2*m**2 + 21*m + 19. Let v(q) = 3*u(q) - 4*w(q). Factor v(z).
(z - 1)*(z + 1)**2*(z + 4)**2
Let i(j) be the first derivative of 0*j**3 - 1/90*j**5 + 0*j - 6 - 2*j**2 + 1/18*j**4. Let m(c) be the second derivative of i(c). Factor m(v).
-2*v*(v - 2)/3
Suppose 4*m + 23 = -5*z, -21*m = -z - 22*m - 6. Solve 14/3*x - z + 5/3*x**2 = 0.
-3, 1/5
Let u be (-16)/(-136) + (-224)/(-119). Find r, given that -1/6*r**5 - 1/6*r**u + 1/6*r**4 + 1/2*r**3 - 1/3*r + 0 = 0.
-1, 0, 1, 2
Factor 79*z**2 + 110 - 168*z - 15*z**2 - 54*z**2 - 57*z.
5*(z - 22)*(2*z - 1)
Let b(m) = 2*m**2 + 56*m + 74. Let d(y) = -y**2 + 2*y - 1. Let a(n) = b(n) + 5*d(n). Factor a(x).
-3*(x - 23)*(x + 1)
Let k(d) be the third derivative of -d**9/69120 - d**8/40320 - 31*d**5/60 - d**2 - 32*d. Let i(u) be the third derivative of k(u). Factor i(h).
-h**2*(7*h + 4)/8
Let z(a) be the third derivative of -a**5/60 - 13*a**4/12 + 9*a**3/2 + 586*a**2. Factor z(x).
-(x - 1)*(x + 27)
Let l(a) = a**2 + 118*a + 1086. Let d be l(-10). Let -d*x**2 + 22/3*x - 4/3 = 0. What is x?
2/9, 1
Let s(f) be the second derivative of -1/36*f**4 + 1/3*f**2 - 1/18*f**3 + 15*f + 0. Find c, given that s(c) = 0.
-2, 1
Let l be (-2091)/(-85) - 24 - (-9)/5. Let l*b + 12/5*b**4 - 12/5*b**2 + 0 - 9/5*b**3 - 3/5*b**5 = 0. Calculate b.
-1, 0, 1, 2
Let h(l) be the third derivative of 0*l - 15/2*l**3 + 3*l**2 + 6 - 5/4*l**4 - 1/12*l**5. Determine u, given that h(u) = 0.
-3
Let m(r) = 6*r**3 - 28*r**2 + 54*r - 24. Let h(c) = 2*c**3 - 9*c**2 + 18*c - 8. Let j(b) = -8*h(b) + 3*m(b). Factor j(p).
2*(p - 4)*(p - 1)**2
Suppose 0 = 2*i + 4*c - 20, 0 = -4*i + 2*c + c + 7. Suppose 5*n - 28 = -2*u + 8, 2*u = 2*n - 6. Solve 13*l**2 - 10*l**2 - n*l**4 + 3*l**i = 0 for l.
-1, 0, 1
Suppose -2*u - 1 = -7. Suppose -4*r + 29 = 5*a - u, 3*r + a - 13 = 0. Let 2*t**2 - 2*t**2 + 2*t + 4*t + r*t**2 = 0. What is t?
-2, 0
Let x(v) = -8*v**2 - 42*v - 4. Let t be x(-5). Let g be 60/(-9)*t/(-25). Determine u, given that g - 12/5*u + 4/5*u**2 = 0.
1, 2
Let s be (1/2 - 0)*6. Find a such that 10*a**s - 4*a**5 + 10*a**3 - 12*a**2 - 4*a**4 - 3*a + 3*a = 0.
-3, 0, 1
Suppose -48/7*x**5 + 0 + 0*x - 216/7*x**4 + 117/7*x**3 - 15/7*x**2 = 0. Calculate x.
-5, 0, 1/4
Let o(r) be the second derivative of -r**4/42 + 2*r**3/7 - 9*r**2/7 - 190*r. Factor o(y).
-2*(y - 3)**2/7
Determine c so that 63*c**3 - 90*c**3 + 6*c**4 - c**4 - 28*c**2 - 4*c**4 = 0.
-1, 0, 28
Let v(b) = 5*b**4 + 6*b**3 - 20*b**2 + 20*b - 3. Let t(k) = -k**3 - 3*k**2. Let j(m) = 2*t(m) + v(m). Factor j(u).
(u - 1)**2*(u + 3)*(5*u - 1)
Let n(j) be the first derivative of -j**6/450 + j**5/75 + 3*j**3 - 7. Let a(v) be the third derivative of n(v). Factor a(c).
-4*c*(c - 2)/5
Let y(q) be the first derivative of -2*q**6/3 + 28*q**5/5 + 54*q**4 - 2440*q**3/3 + 3350*q**2 - 4500*q + 144. Factor y(f).
-4*(f - 5)**3*(f - 1)*(f + 9)
Let v(b) be the third derivative of -b**7/630 - 19*b**6/360 - 83*b**5/180 - 65*b**4/72 - b**2 + 55. Factor v(s).
-s*(s + 1)*(s + 5)*(s + 13)/3
Let r(z) be the second derivative of -9*z + 0*z**3 + 1/120*z**5 + 0 - 1/252*z**7 - 1/36*z**4 + 1/90*z**6 + 0*z**2. Find v, given that r(v) = 0.
-1, 0, 1, 2
Factor 44*q**2 - 3080 - 3*q**3 + 588*q + 1780 + 1900 + 94*q**2.
-3*(q - 50)*(q + 2)**2
Suppose -2/5*r**2 -