ne f, given that 3/4*f**4 + 3/4*f - 9/4*f**2 + 1/4*f**3 + 1/2 = 0.
-2, -1/3, 1
Suppose 1/3*o**4 - 16/3*o - 11/3*o**3 + 12*o**2 - 64/3 = 0. Calculate o.
-1, 4
Let j = -1 - -3. Suppose j*b - 6*b = -4*t - 8, -b = -2. Factor 2*c**4 + t*c - 1/2*c**3 + 0*c**2 - 2*c**5 + 0.
-c**3*(2*c - 1)**2/2
Let p(s) be the first derivative of 1/8*s**6 + 50 + 3/16*s**4 - 9/20*s**5 + 0*s - 3/4*s**2 + 3/4*s**3. What is h in p(h) = 0?
-1, 0, 1, 2
Let -860*y**4 - 6*y - 30*y**3 + 38*y**2 - 8*y**5 - 36*y**3 + 902*y**4 = 0. What is y?
0, 1/4, 1, 3
Let g(h) be the first derivative of h**5/30 + 5*h**4/36 - 2*h**3/9 - 3*h**2 + 27. Let u(m) be the second derivative of g(m). Determine w so that u(w) = 0.
-2, 1/3
Factor 10/3*j**2 - 10/3 + 2/3*j - 2/3*j**3.
-2*(j - 5)*(j - 1)*(j + 1)/3
Let g(r) = 6*r**2 + 7*r - 8. Let n be g(1). Solve -8/21*o**3 - 8/21*o**2 + 2/21*o**4 + 0 + 2/21*o**n + 0*o = 0 for o.
-2, -1, 0, 2
Suppose 0 = c - 3*r + 9, 0*c - 3 = 4*c - r. Let l be (-9)/((-9)/(-2)) - (-12)/3. Factor -o**l + c - 2/5*o.
-o*(5*o + 2)/5
Let j(z) be the first derivative of 2*z**5/75 - z**4/15 - 2*z**3/45 + 2*z**2/15 - 642. Suppose j(c) = 0. Calculate c.
-1, 0, 1, 2
Let q be (-12)/7 - (-4)/(-14). Let m be 6 - (q + 0 - -4). Factor -t**3 - 2 + 2 + 0*t**m - t**4.
-t**3*(t + 1)
Let r(d) = 10*d**2 + 80*d - 148. Let q(m) = 8*m**2 + 78*m - 149. Let i(x) = 4*q(x) - 3*r(x). Factor i(p).
2*(p - 2)*(p + 38)
Let u(s) = s**2 - 114*s + 120. Let o(r) = r**2 - 76*r + 80. Let c(a) = 7*o(a) - 5*u(a). Find i such that c(i) = 0.
-20, 1
Let q(g) be the second derivative of g**4/14 - 9*g**3/14 - 27*g**2/7 + 4*g + 21. Let q(v) = 0. Calculate v.
-3/2, 6
Let m(z) be the first derivative of -z**5/300 + z**4/120 + 3*z**2/2 + 1. Let x(b) be the second derivative of m(b). Factor x(k).
-k*(k - 1)/5
Let l(a) = a**3 + 6*a**2 - 6*a + 9. Let p = -11 - -4. Let n be l(p). Factor -n*g**3 - 2*g - 3*g**3 - 4*g - 9*g**2 + 2*g**3.
-3*g*(g + 1)*(g + 2)
Let y = 15 + -6. Suppose d + 18 = 5*b, -y = 3*d - 0*d. Factor -17*o**4 - 1 + 37*o**3 - b - 39*o**2 + 13*o + 7*o + 3*o**5 + 0.
(o - 2)*(o - 1)**3*(3*o - 2)
Let q = 4 + -2. Suppose 4*j - 27 = p, 2*p - q = j - 7. Factor -5*m**2 - 3*m**3 - j*m + 12*m**3 - 1 - 3*m**2 + 7*m**3.
(m - 1)*(4*m + 1)**2
Suppose 3/4*m**4 + 12*m + 0 + 99/4*m**2 + 27/2*m**3 = 0. What is m?
-16, -1, 0
Let m = 1774 + -1774. Let v(u) be the first derivative of m*u - 2 + 2/3*u**2 - 2/9*u**3. Factor v(t).
-2*t*(t - 2)/3
Let r = -626/5 + 126. Factor -9*l**3 + 0 - r*l + 24/5*l**2 + 5*l**4.
l*(l - 1)*(5*l - 2)**2/5
Let g(s) = -s**3 + 7*s + 6. Let j be g(3). Let a(q) be the third derivative of 2*q**3 - q**2 + j*q + 1/2*q**4 + 0 + 1/20*q**5. Let a(w) = 0. What is w?
-2
Let o(u) be the second derivative of 0 + 1/6*u**6 + 5/4*u**4 - 10*u**2 + 17*u + 10/3*u**3 - u**5. Suppose o(g) = 0. What is g?
-1, 1, 2
Suppose -5*o = -2*q + 10, -49*q = -4*o - 48*q - 5. Let a(u) be the first derivative of o*u + 8 + 1/7*u**2 - 2/21*u**3. Suppose a(w) = 0. Calculate w.
0, 1
Let u(d) be the third derivative of -d**5/15 + 7*d**4/6 - 18*d**2. Factor u(l).
-4*l*(l - 7)
Let o(a) be the third derivative of -a**8/1008 + 5*a**7/126 - 23*a**6/72 - 101*a**5/36 - 70*a**4/9 - 98*a**3/9 + a**2 + 347*a. Factor o(n).
-(n - 14)**2*(n + 1)**3/3
Let c = 81/8 - 9. Let m(f) be the first derivative of -6 - 3/4*f**4 + 0*f - c*f**2 + 7/4*f**3. Let m(d) = 0. Calculate d.
0, 3/4, 1
Let v = -80 - -81. Let p be (60/80)/(v/(-8)*-2). Solve 2/11*i**4 + 0*i**2 + 0*i**p + 2/11*i**5 + 0 + 0*i = 0 for i.
-1, 0
Suppose -21 = -3*g + 6. Suppose 2*x = 9 - g. Factor -8/7*i**2 + 2/7*i**3 + 8/7*i + x.
2*i*(i - 2)**2/7
Suppose -5 = -2*n - 3. Let c = -14035/4 + 3509. Factor n - w**2 - 1/4*w**3 + c*w.
-(w - 1)*(w + 1)*(w + 4)/4
Let g = -25 - -25. Find f, given that -f**4 + 3*f + f + g*f**4 - 3*f**3 = 0.
-2, 0, 1
Suppose -4*z + 12 = 2*x, 0*z + z = -x + 5. Let 6*f**4 - 15*f**4 - f**5 + 9*f**x + f**3 = 0. Calculate f.
-1, 0, 1
Let s(c) be the second derivative of 0*c**2 + 0 + 2/15*c**6 - 1/3*c**4 - 24*c - 1/21*c**7 + 0*c**3 + 1/10*c**5. Find v such that s(v) = 0.
-1, 0, 1, 2
Let 26460 - 252*c + 3/5*c**2 = 0. Calculate c.
210
Let r = 86 - 91. Let a be (1/r)/(6/(-180)*8). Factor 3*i**2 + 9/4*i - a.
3*(i + 1)*(4*i - 1)/4
Let v(t) = -954*t**2 - 282*t + 7. Let y(s) = 1905*s**2 + 565*s - 15. Let u(w) = 5*v(w) + 3*y(w). Factor u(j).
5*(3*j + 1)*(63*j - 2)
Let m(z) = -z**4 + z**3. Let p(n) = n**5 + 3*n**4 + 25*n**3 - 21*n**2 - 56*n + 48. Let w(f) = 6*m(f) - p(f). Solve w(v) = 0 for v.
-4, -3, 1
Factor -18*d + 14*d - 43*d**3 - 138*d**2 + 184 + 12*d**4 - 11*d**4.
(d - 46)*(d - 1)*(d + 2)**2
Let l(a) be the third derivative of -a**8/672 + a**6/240 + 9*a**2 + a. Find b, given that l(b) = 0.
-1, 0, 1
Solve -1/6*a**4 + 0 + 0*a - a**2 + 7/6*a**3 = 0 for a.
0, 1, 6
Let n = -21 + 25. Suppose 5*l = -n*k - 1, 0*l = -5*k + 3*l + 8. Suppose 2*r**2 + 16*r + 16 + 11 - k + 6 = 0. Calculate r.
-4
Let u(b) be the first derivative of b**2/2 + 8*b + 1. Let w be u(-6). Factor 10*o - 3*o - 4*o - 3*o**w.
-3*o*(o - 1)
Let y(d) be the third derivative of 0 - 2/3*d**4 - 8/3*d**3 + 0*d - 1/15*d**5 + 30*d**2. Factor y(u).
-4*(u + 2)**2
Let i(m) be the third derivative of -m**6/1800 - m**5/200 + m**4/30 + 5*m**3/6 - 8*m**2. Let n(o) be the first derivative of i(o). Solve n(c) = 0 for c.
-4, 1
Let k(b) be the second derivative of -b**8/13440 - b**7/1344 - b**6/360 - b**5/240 + 13*b**3/6 + 6*b. Let h(z) be the second derivative of k(z). Factor h(p).
-p*(p + 1)*(p + 2)**2/8
Suppose 106 = 3*c + 97. Let v(b) be the second derivative of -1/12*b**4 - b**c - 9/2*b**2 - b + 0. Find w, given that v(w) = 0.
-3
Let x(y) be the second derivative of 7/24*y**4 - 1/8*y**5 - 1/4*y**3 + 0*y**2 + 0 - 6*y + 1/60*y**6. Suppose x(t) = 0. Calculate t.
0, 1, 3
Suppose 0 = -m + 7*m - 30. Factor 2*t**2 + 24 - m*t**2 + 13*t**2 + 25*t - 9.
5*(t + 1)*(2*t + 3)
Let l(r) be the first derivative of 0*r + 0*r**2 + 14 + 1/9*r**3 - 1/36*r**6 - 1/15*r**5 + 1/24*r**4. Find s, given that l(s) = 0.
-2, -1, 0, 1
Suppose 2*l - 4 = -4*h, -l + 3*h - 2 = -14. Determine r, given that -l*r - 3/2*r**2 - 9/2 = 0.
-3, -1
Factor -18432 - 2304*s - 4/3*s**3 - 96*s**2.
-4*(s + 24)**3/3
Let d(b) be the second derivative of -b**5/50 + b**4/20 + 4*b**3/15 + 3*b**2/10 + b - 7. Find q such that d(q) = 0.
-1, -1/2, 3
Let t(w) be the third derivative of 0*w - 41*w**2 - 1/15*w**5 + 5/42*w**4 + 0 + 4/21*w**3. Solve t(f) = 0.
-2/7, 1
Let t = 2065/16 - 129. Let b(c) be the first derivative of -3/4*c + 4 - 5/12*c**3 + t*c**4 + 7/8*c**2. What is g in b(g) = 0?
1, 3
Suppose 0 = -59*l + 55*l. Suppose w - 2*w - 8*w = l. Suppose 2/7*k + w + 4/7*k**2 + 2/7*k**3 = 0. What is k?
-1, 0
Let d(c) = 14*c**4 - 40*c**3 + 48*c**2 - 34*c + 8. Let x(b) = -b**5 - 14*b**4 + 41*b**3 - 47*b**2 + 35*b - 8. Let w(k) = -6*d(k) - 4*x(k). Factor w(v).
4*(v - 2)**2*(v - 1)**3
Let r(g) = 4*g**2 - 4*g - 4. Let p(s) = -s**3 + 5*s**2 - 4*s - 5. Suppose -12 = n - 4*n. Let z(m) = n*p(m) - 5*r(m). Let z(d) = 0. Calculate d.
-1, 0, 1
Let x(d) be the second derivative of -d**4/3 + 4*d**3 + 54*d**2 + 22*d. Factor x(l).
-4*(l - 9)*(l + 3)
Let y(h) be the second derivative of -h**7/28 + 2*h**6/5 - 39*h**5/40 + 3*h**4/4 + 328*h. Factor y(x).
-3*x**2*(x - 6)*(x - 1)**2/2
Let q(i) = i + 8. Let j(y) = 1. Let p(u) = 24*j(u) - 3*q(u). Let o be p(-1). Let -2*f + 2*f - 2*f**o + 6*f**2 - 2*f - 2*f**2 = 0. What is f?
0, 1
Suppose 0 = -12*q + 6*q + 816. Let f be 50/q - (-18)/(-153). Suppose -f*r**2 + 0 - 1/2*r = 0. What is r?
-2, 0
Let k be (-1)/((-3)/18)*4/(-6). Let l be (30/(-12))/(5/k). Factor 1/4*f + 1/4*f**l - 1/2.
(f - 1)*(f + 2)/4
Let z(b) be the second derivative of 1/96*b**4 - 1/48*b**3 - 3*b + 1/160*b**5 + 0 - 1/16*b**2. Factor z(l).
(l - 1)*(l + 1)**2/8
Suppose -145/3*z + 40/3*z**4 + 5 + 445/3*z**2 - 145*z**3 + 80/3*z**5 = 0. What is z?
-3, 1/4, 1
Let k(b) be the second derivative of -b**7/6300 + b**6/900 - b**5/300 + b**4/12 - 3*b**3/2 + 3*b. Let n(z) be the third derivative of k(z). Factor n(c).
-2*(c - 1)**2/5
Let p = 1948 + -9736/5. Factor p*b - 2/5 - 2/5*b**2.
-2*(b - 1)**2/5
Solve -3710/3*a**4 + 65408/3*a**3 + 68704/3*a + 126320/3*a**2 + 50/3*a**5 + 11552/3 = 0 for a.
-1, -2/5, 38
What is g in 18/7*g**2 - 300/7 + 45/7*g - 3/7*g**3 = 0?
-4, 5
Let c(m) be the first derivative of -3*m**5/10 - 87*m**4/8 + 93*m**3