4*s**4 - 8 + 4/3*s. Determine c, given that w(c) = 0.
-1, 2/7, 2
Let f be (-96)/160 + (-366)/(-10). Suppose -16*r - 2*r + f = 0. Suppose -1/4*h**5 - 1/4 + 3/4*h**4 + 3/4*h - 1/2*h**3 - 1/2*h**r = 0. What is h?
-1, 1
Let c(h) be the first derivative of -h**5/5 - 25*h**4/32 + 17*h**3/6 - 35*h**2/16 - 282. Find g, given that c(g) = 0.
-5, 0, 7/8, 1
Suppose -12 = -2*u - 3*z + 4, -2*z = 5*u - 18. Let 3/2*a**u + 0 + 0*a + 3/2*a**3 - 3*a**4 = 0. What is a?
-1/2, 0, 1
Let n = 3/4519 - -4507/18076. What is s in 0 + 9/4*s**3 - s**4 + n*s - 3/2*s**2 = 0?
0, 1/4, 1
Let x be (-54)/(-225)*(-15)/(-6). Suppose 4*z - 3*f - 14 = 0, -3*z + 5*f - 4 + 20 = 0. Factor x*m**z + 0 - 3/5*m.
3*m*(m - 1)/5
Suppose -4*g + 70 = -11*g. Let z be (1 - 1)/(g + 8). Suppose 2/7*h**2 - 4/7*h + z + 2/7*h**3 = 0. What is h?
-2, 0, 1
Let c(h) be the second derivative of -h**5/100 + h**4/12 - 4*h**3/15 + 2*h**2/5 - 12*h. Solve c(w) = 0 for w.
1, 2
Suppose -3362 + 3187 = 20*m - 55*m. Factor 76/3*i**3 + 100/3*i**2 + 64/3*i + 16/3 + 28/3*i**4 + 4/3*i**m.
4*(i + 1)**3*(i + 2)**2/3
Let v(q) = -15*q - 6. Let g be v(-7). Solve -2*c**3 + 6*c**3 + g*c**2 - 194*c**2 + 99*c**2 = 0.
-1, 0
Suppose 4*p + l - 27 = 0, -6*p - 2*l + 14 = -3*p. Suppose 5*d = p*d - 9. Factor d + 76*n + 6 + 12*n**4 + 84*n**3 + 4*n**4 + 132*n**2 + 3.
4*(n + 1)**2*(n + 3)*(4*n + 1)
Find m such that 393*m**3 - 785*m**3 - 4*m**4 + 4*m + 4*m**2 + 388*m**3 = 0.
-1, 0, 1
Let g(v) be the second derivative of v**7/21 - 29*v**6/135 - 5*v**5/6 - v**4/2 + 10*v**3/27 + 322*v. Determine s so that g(s) = 0.
-1, 0, 2/9, 5
Suppose -5*t = -5*g + 20, g - 3*g = -8. Let z = 2/455 - -892/4095. Suppose t*c**2 + 0*c + 0 + z*c**3 = 0. What is c?
0
Let v = 25 - 20. Factor -8*i**5 + 12*i**3 + 4*i**2 + 7*i**v + 12*i**4 + 5*i**5.
4*i**2*(i + 1)**3
Let w be (-532)/(-133) + -2*2. Factor -2/3*r**2 + 0 + w*r - 1/3*r**3.
-r**2*(r + 2)/3
Factor -7/6*u**2 - 4/3*u + 8/3 - 1/6*u**3.
-(u - 1)*(u + 4)**2/6
Let k(n) be the first derivative of 8*n**3/3 - 27*n**2/2 + 9*n - 62. Suppose k(y) = 0. Calculate y.
3/8, 3
Suppose 26689*s - 26681*s = 16. What is d in -2*d + 0 + 1/2*d**s = 0?
0, 4
Suppose -u + 4*f = 2*u - 5, 3*f = -4*u + 15. Let g(x) = -x**3 + 3*x**2 + 2*x - 2. Let s be g(u). Find m such that -m + 6*m**2 - 3*m**2 - m + 0*m**4 - m**s = 0.
-2, 0, 1
Let g = 17333/25995 + -1/8665. Factor -g + 1/3*d**2 + 1/3*d.
(d - 1)*(d + 2)/3
Let c(l) be the first derivative of l**5/15 - 5*l**4/12 - 43*l**3/9 - 67*l**2/6 - 10*l + 209. Solve c(o) = 0.
-3, -1, 10
Suppose 5*g - k - 28 = 3*g, 4*g - k - 56 = 0. Let b be (-6 - 0)*g/(-42). Factor 33*j**2 + 3*j - 6*j**4 - j**5 - b*j**5 - 27*j**2.
-3*j*(j - 1)*(j + 1)**3
Let y(u) be the second derivative of -u**8/3360 + u**6/360 - 3*u**4/2 + 10*u. Let c(i) be the third derivative of y(i). Let c(w) = 0. What is w?
-1, 0, 1
Let l = -163/5 - -36. Factor -u**3 - l*u**2 - 4/5 - 16/5*u.
-(u + 1)*(u + 2)*(5*u + 2)/5
Suppose -52*m + 50*m = -4. Let a(u) be the third derivative of -1/12*u**4 - 7/60*u**5 + 0*u - 1/30*u**6 - m*u**2 + 1/6*u**3 + 0. Factor a(b).
-(b + 1)**2*(4*b - 1)
Let k(c) be the second derivative of -c**6/480 - c**5/120 + 9*c**2/2 + 13*c. Let w(y) be the first derivative of k(y). What is r in w(r) = 0?
-2, 0
Let j = 515 - 972. Let g = 1387/3 + j. Factor 32/3 + 2/3*n**2 - g*n.
2*(n - 4)**2/3
Let l(s) be the second derivative of 2*s**7/21 - 2*s**6/3 + s**5/5 + 7*s**4 - 12*s**3 - 13*s - 5. Solve l(d) = 0.
-2, 0, 1, 3
Let f(v) = -26*v**2 - 28*v - 8. Let y(j) = j**3 - 2*j + 2. Let b be y(2). Let x(s) = 27*s**2 + 28*s + 8. Let g(c) = b*x(c) + 7*f(c). Factor g(k).
-4*(k + 1)*(5*k + 2)
Suppose -17*u = 18*u. Let f be (9/(-15))/((-6)/4). Factor f - 2/5*c**2 + u*c.
-2*(c - 1)*(c + 1)/5
Suppose 0 = c - 6*c + 60. Suppose -4*y + 5*w - 1 = -13, 0 = 4*y - 2*w - c. Factor 0*x + 0*x**2 + 0 + 2/3*x**y.
2*x**3/3
Let a be -3 - (-2124)/171 - 9. Let s(h) be the first derivative of 8 + a*h + 4/19*h**2 + 2/57*h**3. Factor s(w).
2*(w + 2)**2/19
Determine i, given that 4 - i**3 - 5/3*i**2 + 16/3*i = 0.
-3, -2/3, 2
Let n(d) = 239*d - 1910. Let p be n(8). Factor 3/4*y**p + 3 + 15/4*y.
3*(y + 1)*(y + 4)/4
Let q = 4 + 2. Let u(v) = -4 + 2 + q - 3 + v**3 + v**4 + v. Let r(g) = 12*g**4 + 14*g**3 + 3*g**2 + 12*g + 11. Let f(s) = 2*r(s) - 22*u(s). Factor f(b).
2*b*(b + 1)**3
Let g(q) = -q**2 + 4*q + 63. Let w be g(10). Let u(v) be the second derivative of 1/2*v**w - 9/4*v**2 - 1/24*v**4 + 0 - 5*v. Factor u(a).
-(a - 3)**2/2
Suppose p - 5 = -3*d, -6 = -5*d - 3*p + 1. Factor 8*a - 2*a**3 - 8 - 11*a**2 + a**d + 12*a**2.
-2*(a - 2)*(a - 1)*(a + 2)
Factor -841 + 422 - 3*u + 425 - 9*u**2.
-3*(u + 1)*(3*u - 2)
Let u be -5 + 111/18 - (-6)/(-4). Let o = u + 13/15. Solve o*c + 2/15*c**2 + 8/15 = 0.
-2
Let m(s) be the first derivative of -2*s**3/51 - 12*s**2/17 - 16. Suppose m(y) = 0. Calculate y.
-12, 0
Let r = -162 - -6481/40. Let s(j) be the second derivative of 0*j**2 + 0 - r*j**5 + 1/6*j**4 - 6*j - 1/3*j**3. Find c such that s(c) = 0.
0, 2
Let n(k) = k**3 + 15*k**2 - k - 13. Let d be n(-15). Let l = -3903/5 + 784. Determine p, given that -l*p**d + p + 2/5 - 4*p**3 = 0.
-1, -1/4, 2/5
Suppose 34*v = 41*v - 14. Let r(z) be the second derivative of -3/20*z**5 + 0*z**v + 0*z**4 + 1/30*z**6 + 0 + 3*z + 2/3*z**3. Factor r(w).
w*(w - 2)**2*(w + 1)
Let p(d) be the second derivative of -d**5/10 + 11*d**4/6 + 25*d**3/3 + 13*d**2 + 576*d. Factor p(q).
-2*(q - 13)*(q + 1)**2
Let i(d) = -d**2 - 17*d + 26. Let j be i(-18). Factor 7*n**4 - j*n**3 + n**4 - 4*n**2 - 1 + 10*n + 273*n**5 - 275*n**5 - 3.
-2*(n - 2)*(n - 1)**3*(n + 1)
Factor 2/5*m**2 + 490 - 28*m.
2*(m - 35)**2/5
Let v(r) be the third derivative of r**8/70560 + r**7/2940 + r**5/2 + 6*r**2. Let t(i) be the third derivative of v(i). Let t(c) = 0. Calculate c.
-6, 0
Let n(z) be the first derivative of 1/27*z**3 + 1/18*z**2 + 13 - 2/9*z. Suppose n(q) = 0. What is q?
-2, 1
Suppose -522*m = 1088 - 1264 - 1390. Find s, given that 16/5*s**2 - 42/5*s - 2/5*s**m + 36/5 = 0.
2, 3
Let l = 45 + -32. Suppose l*b - 48 = -3*b. Factor -2/11*q + 0 + 0*q**2 + 2/11*q**b.
2*q*(q - 1)*(q + 1)/11
Let l = -3464 + 3473. Factor -l - 3/2*v**2 - 15/2*v.
-3*(v + 2)*(v + 3)/2
Let z be 18/5*(-25)/(-10). Suppose -z*t + 4*t + 75 = 0. Find s such that 12*s**3 + 2*s**5 + 3*s**4 - 3*s**2 - t*s**3 + s**5 = 0.
-1, 0, 1
Suppose a = -2*b + 12, 5*b + 2*a = 3*b + 10. Let o be (b + -4)*(-2)/(-3). Find u such that -o*u + 4/3*u**2 - 4/3 = 0.
-1/2, 2
Let r = -7763 + 69868/9. Find v such that r*v**4 + 2/9*v**2 + 0*v + 1/3*v**3 + 0 = 0.
-2, -1, 0
Suppose -123 = -4*t + 5*u - 34, 3*t - 63 = 3*u. Let z(f) = 9*f**2 + 3*f - 17. Let q(s) = 28*s**2 + 8*s - 52. Let c(r) = t*z(r) - 5*q(r). Factor c(m).
4*(m - 1)*(m + 3)
Factor -88/3*z - 64 + 4/3*z**2.
4*(z - 24)*(z + 2)/3
Let q(z) be the third derivative of -z**6/900 - z**5/50 + z**4/180 + z**3/5 - 5*z**2 - 27*z. Factor q(a).
-2*(a - 1)*(a + 1)*(a + 9)/15
Let i(n) be the first derivative of n**7/1050 - n**6/600 + 19*n**2/2 + 6. Let w(h) be the second derivative of i(h). Factor w(m).
m**3*(m - 1)/5
Suppose -p - 5*p + 6 = 0. Factor -1/2*t**2 + 1/2*t + p.
-(t - 2)*(t + 1)/2
Let c = 3263/13036 + -1/3259. Factor 3/4*f**2 - c*f - 3/4*f**3 + 0 + 1/4*f**4.
f*(f - 1)**3/4
Determine g, given that 68*g + 4*g**4 + 61*g**2 - 119*g + 15*g - 34*g**3 - 2*g**3 + 7 = 0.
1/2, 1, 7
Let i be -3 + -5*(-100)/168. Let y = 5/14 + i. Factor -1/3*p**3 - p - p**2 - y.
-(p + 1)**3/3
Let m(d) be the third derivative of d**6/144 - d**5/6 + 35*d**4/48 + 245*d**3/18 - d**2 - 6. Find n, given that m(n) = 0.
-2, 7
Factor -12*z**2 + 12*z**2 + z - z**5 + 2*z**4 - 2*z**2.
-z*(z - 1)**3*(z + 1)
Let p be -2 + 2/2 - -1. Suppose -11 = 5*g + 4*w - 6, 2*w = -3*g - 1. Factor 4 + 36*f**2 - 24*f + p*f - 16*f**g + 0 + 0*f**2.
-4*(f - 1)**2*(4*f - 1)
Let t = 50 - 48. Determine q, given that -15*q**3 - 29*q**t + 11*q**2 - 22*q**2 - 20*q + 10*q**4 + 5*q**5 = 0.
-2, -1, 0, 2
Suppose 84 + 0 = 28*a - 0*a. Let o(f) = f**3 + 5*f**2 + 5*f + 4. Let i be o(-4). Factor -1/2*t**4 - 1/2*t**a + 0*t + i + t**2.
-t**2*(t - 1)*(t + 2)/2
Suppose -3*k = 3*k - 18. Suppose 5*o = -4*x + 64, k*o + 2*x - 72 = -2*o. Determine v, given that 0*v + 0*v**2 + o*v**4 + v**2 + 2*v - 11*v**4 - 8*v**3 = 0.
-2/5, 0, 1
Let x(i) = -4*i**2 - 16*i - 9. Let l(g) = 11*g**2 + 46*g + 27. Let t(p) = -3*l(p) - 8*x(