g, given that -2*g**3 + 11*g**2 - 83*g - 77*g**2 - 280*g - g**3 = 0.
-11, 0
Let q(r) = 12*r**2 + 30 - 30 + 15 + 12*r - r**3. Let z be q(13). Factor 3/4*x + 1/4*x**3 + 3/4*x**z + 1/4.
(x + 1)**3/4
Let w be (-12)/(-28) - 44/168. Let f(k) be the second derivative of -2*k**2 - 1/3*k**3 - 6*k + 0 + w*k**4. Let f(j) = 0. What is j?
-1, 2
Find u, given that -65*u**2 - 22*u**3 - 47*u**2 + 12 - 20 - 54*u - 30*u - 14*u**3 = 0.
-2, -1, -1/9
Let x(k) be the third derivative of -1/672*k**8 + 0*k - 1/48*k**4 + 0 + 1/12*k**3 + 1/420*k**7 + 1/120*k**6 + 30*k**2 - 1/60*k**5. Factor x(p).
-(p - 1)**3*(p + 1)**2/2
Let k(g) = -7*g**2 - 542*g - 226. Let q be k(-77). Determine v so that -15/7*v**3 - 11/7*v**4 - 3/7*v**q + 0 - 9/7*v**2 - 2/7*v = 0.
-1, -2/3, 0
Let r be 3/((-24)/80*-5 - -6). Factor -r*j**2 - 18/5 + 12/5*j.
-2*(j - 3)**2/5
Let j be (-11 - -9) + 0 + 4. Solve 0*p**j + 0*p**2 + p**2 = 0.
0
Let h = 28457 + -28455. Factor -2/7*a + 2/7*a**3 + 0 + 0*a**h.
2*a*(a - 1)*(a + 1)/7
Let a(v) be the second derivative of -v**4/42 + 22*v**3/21 - 121*v**2/7 + 22*v. Factor a(k).
-2*(k - 11)**2/7
Let j(z) be the second derivative of -z**7/630 + z**6/90 - 5*z**4/3 - 14*z. Let v(i) be the third derivative of j(i). Factor v(m).
-4*m*(m - 2)
Suppose -7/2*d**3 + 51/4*d - 9/2 + 3/4*d**5 + 5/2*d**4 - 8*d**2 = 0. Calculate d.
-3, 2/3, 1
Let v be 77/(-4) + 20 - (-2 + -1). Factor -v*n + 0 + 3/4*n**2.
3*n*(n - 5)/4
Let r(w) = -5*w**3 + 5*w**2 - 2. Let u(k) = 25*k**3 - 25*k**2 + 11. Suppose 2*b - b = 5*c - 58, c - 4*b = 23. Let l(q) = c*r(q) + 2*u(q). Factor l(v).
-5*v**2*(v - 1)
Suppose 31 = 11*i + 229. Let k be (-8)/i*3 + 22/33. Suppose 1/2*z**5 + k*z**4 + 0 + 3*z**3 + 1/2*z + 2*z**2 = 0. What is z?
-1, 0
Factor 32/17*v**2 + 70/17*v + 36/17 - 2/17*v**3.
-2*(v - 18)*(v + 1)**2/17
Let y(x) be the first derivative of 9*x**4/4 - 97*x**3 + 188*x**2 - 124*x - 508. Factor y(d).
(d - 31)*(3*d - 2)**2
Suppose 3*d + a - 12 = 0, -21 = -9*d + 4*d - 2*a. Let y(r) be the third derivative of 1/240*r**5 + 0*r**4 + 0*r - 3*r**2 + 0 + 0*r**d. Factor y(q).
q**2/4
Let y(r) = 8 - 17 + 6 + r**3 + 2. Let w(i) = 12*i**3 - 8*i**2 - 4*i. Let p(j) = w(j) - 8*y(j). Factor p(d).
4*(d - 2)*(d - 1)*(d + 1)
Let y(t) = -30*t - 87. Let a be y(-3). Find j such that -2/3*j**a - 4/3*j**2 - 2/3*j + 0 = 0.
-1, 0
Let d be 2 + (6712/(-672) - -8). Let l(y) be the third derivative of 2/21*y**3 - d*y**4 + 0*y - 1/210*y**5 + 0 + 6*y**2. Factor l(h).
-2*(h - 1)*(h + 2)/7
Let k(b) be the first derivative of b**5/5 + 2*b**4 + 8*b**3 + 16*b**2 - 9*b + 28. Let c(i) be the first derivative of k(i). Determine z so that c(z) = 0.
-2
Let y(b) = 15*b**4 + 15*b**3 + 36*b**2. Let r(f) = f**4 + f**2 - f. Let d(t) = -12*r(t) + y(t). Determine h so that d(h) = 0.
-2, -1, 0
Let m(q) be the second derivative of -q**4/48 - q**3/24 + q**2/4 - 3*q + 1. Factor m(g).
-(g - 1)*(g + 2)/4
Let l(p) be the first derivative of -3*p**5/10 + 3*p**4/8 + 41*p**3/2 + 333*p**2/4 + 108*p + 91. Let l(m) = 0. What is m?
-3, -1, 8
Suppose 0 = -4*i - i + 175. Suppose -2*p - 3*p - i = -r, 4*p = 20. Factor -149*q**2 + 18*q**2 + 5*q**2 + r*q + 49*q**3 - 8.
(q - 2)*(7*q - 2)**2
Factor 3546*f**3 - 1760*f**3 + 28*f**4 - 1754*f**3 - 48*f**2.
4*f**2*(f + 2)*(7*f - 6)
Suppose 12*r + 52*r**4 + 15*r**2 - 39*r**3 + 41*r**2 - 24 - 43*r**4 - 14*r**2 = 0. Calculate r.
-2/3, 1, 2
Let f(u) = u**2 - u - 6. Let w be f(3). Let -12*y**2 - 12*y**4 - 24*y**5 - 3*y + w*y + 21*y**5 - 18*y**3 = 0. Calculate y.
-1, 0
Let f be -11 + (-72)/(-9) + 5. Factor -1/3*x**3 - x**f + 0*x + 4/3.
-(x - 1)*(x + 2)**2/3
Let y(f) be the first derivative of -1/2*f**3 + 0*f**2 + 2 - 7*f + 1/4*f**4. Let h(a) be the first derivative of y(a). Solve h(v) = 0.
0, 1
Let c = 9508/7 - 37955/28. Factor -27/2*v - 45/4*v**3 - c*v**4 - 81/4*v**2 - 1/4*v**5 + 0.
-v*(v + 2)*(v + 3)**3/4
Suppose 2008*v - 2006*v - 6 = 0. Factor -3/8*g**5 - 15/8*g**4 + 0 + 3*g - 9/4*g**v + 3/2*g**2.
-3*g*(g - 1)*(g + 2)**3/8
Let g be (-8 - 145/(-15))*2/40. Let y(o) be the first derivative of 1/8*o**2 + 2 - g*o**3 - 1/16*o**4 + 1/20*o**5 + 0*o. Factor y(t).
t*(t - 1)**2*(t + 1)/4
Suppose -2*m - o + 7 + 0 = 0, -5*m + 3*o = -23. Factor 15*g**4 + m*g + 8*g**2 + 0*g + 5*g**3 - 14*g**4.
g*(g + 1)*(g + 2)**2
Let f(o) = -2*o**4 + o**2 - o - 1. Let v(g) = 7*g**4 - 10*g**3 + 32*g**2 - 34*g + 17. Let u(w) = 4*f(w) + v(w). Solve u(t) = 0 for t.
-13, 1
Let a(i) be the second derivative of 0 - 4/7*i**2 + 2/7*i**3 - 9*i - 1/21*i**4. Suppose a(l) = 0. What is l?
1, 2
Let u(a) be the third derivative of -9*a**7/70 + a**6/2 + a**5/4 - 5*a**4/2 + 2*a**3 - 39*a**2. Let u(q) = 0. Calculate q.
-1, 2/9, 1, 2
Suppose -463 + 481 = 9*s. Let j(k) be the third derivative of 0*k - 14/15*k**5 + 6*k**3 + 0 + 1/12*k**6 + 11/4*k**4 - s*k**2. Factor j(w).
2*(w - 3)**2*(5*w + 2)
Let c(i) = i**2 - 2*i + 2. Let u be c(2). Let l be 12/(-6) - (-10)/u. Determine z so that -9 + 5*z + 0*z**2 + 7*z - l*z**2 = 0.
1, 3
Let b(q) be the second derivative of q**5/70 + 3*q**4/14 - q**3/21 - 9*q**2/7 + 35*q. Factor b(n).
2*(n - 1)*(n + 1)*(n + 9)/7
Let k(t) be the third derivative of -t**6/30 + 4*t**5/15 + 86*t**2. Solve k(w) = 0.
0, 4
Let g = -21642 - -21644. Factor 8/7*f + 8/7 + 2/7*f**g.
2*(f + 2)**2/7
Let f(s) be the second derivative of -s**6/20 - 3*s**5/10 + 5*s**4/8 + 60*s. Let f(q) = 0. Calculate q.
-5, 0, 1
Let c(q) be the second derivative of -12*q + 0 + 7/3*q**4 + 4/3*q**3 + 2/5*q**5 - 6*q**2. Determine i so that c(i) = 0.
-3, -1, 1/2
Let j(s) be the first derivative of -2*s**5/5 + 83*s**4/4 - 307*s**3 + 620*s**2 - 400*s + 240. Factor j(m).
-(m - 20)**2*(m - 1)*(2*m - 1)
Let g = -51/2 - -26. Suppose -v = -o - 4*v + 12, -3*o = 2*v - 15. What is b in 0*b + 0 + g*b**o + 1/4*b**4 + 1/4*b**2 = 0?
-1, 0
Let r = 6 - 3. Suppose -r*d + 0 = -6. Suppose 19*j**3 + 4*j**3 - 8*j**5 - 3*j**3 + 4*j**4 + 8*j**d = 0. Calculate j.
-1, -1/2, 0, 2
Let a be ((10 - 12) + -18)/(35/(-2)). Let 0 + a*q + 1/7*q**2 = 0. What is q?
-8, 0
Let -6 + 31/5*n - 1/5*n**3 + 0*n**2 = 0. Calculate n.
-6, 1, 5
Let d(x) be the first derivative of x**4 + 52*x**3/3 - 2*x**2 - 52*x - 151. Determine z so that d(z) = 0.
-13, -1, 1
Factor 52/3*r**3 + 50/3*r**4 + 0*r**2 + 0*r - 2/3*r**5 + 0.
-2*r**3*(r - 26)*(r + 1)/3
Let y be 10/(4 + 3 + -5). Factor -80*n - n**3 + 5*n**3 + 78*n - n**y - n**5.
-2*n*(n - 1)**2*(n + 1)**2
Let r(v) = 3*v**2 - 3*v. Let c(g) = -5*g**3 + 20*g**2 + 10*g + 15. Let a(t) = -c(t) + 5*r(t). Let a(i) = 0. Calculate i.
-1, 3
Let l be (10/35)/((-3)/(-84)). Let v be (2 - (-1 + 1))*l/40. Find i, given that -v*i + 0 - 2/5*i**3 - 4/5*i**2 = 0.
-1, 0
Determine z, given that 0*z**3 + 207*z**4 - 208*z**4 - 30 - z**3 + z + 31*z**2 = 0.
-6, -1, 1, 5
Suppose 0 = -z + 8. Let f = -8 + z. Factor 3*g**3 - 3*g**4 - 4*g**4 + f*g**3 + 4*g**4.
-3*g**3*(g - 1)
Let h(t) = 7*t**4 + 5*t**3 + 12*t**2 - 3*t - 11. Let i(c) = 3*c**4 + 3*c**3 + 6*c**2 - 2*c - 6. Let g(n) = -4*h(n) + 10*i(n). Factor g(w).
2*(w - 1)*(w + 2)**3
Let l(a) be the second derivative of -a**5/270 + a**4/108 - 19*a**2/2 + a. Let g(c) be the first derivative of l(c). Determine u so that g(u) = 0.
0, 1
Suppose x + 0*x = 3. Suppose -6*h**2 + 31*h**3 - x*h**3 - 2*h**2 - 16*h**5 - 16*h**4 = 0. Calculate h.
-2, 0, 1/2
Let r = -19 - -15. Let i = r + 10. Determine n so that -3*n**4 + 3*n**4 + i*n**3 + 12*n**2 - 14*n**3 - 4*n**4 = 0.
-3, 0, 1
Let u(f) be the first derivative of 2*f**5/25 + 6*f**4/5 + 26*f**3/15 - 66*f**2/5 + 16*f + 563. Suppose u(d) = 0. What is d?
-10, -4, 1
Let n(a) be the second derivative of -a**7/21 - a**6/5 + 2*a**5/5 + 8*a**4/3 - 16*a**2 - 90*a. Determine p, given that n(p) = 0.
-2, 1, 2
Let r(n) be the third derivative of 47*n**2 + 2/105*n**7 + 2/15*n**5 + 1/9*n**4 + 0*n**3 + 0*n + 13/180*n**6 + 0 + 1/504*n**8. Suppose r(p) = 0. What is p?
-2, -1, 0
Let i(x) = 3*x**2 + 1. Let o(r) = 7*r**2 - 120*r + 125. Let w(n) = 3*i(n) - o(n). Factor w(k).
2*(k - 1)*(k + 61)
Let f be (-3 - -5)/(-9 + 190/15). Suppose 0 + 8/11*l**2 + 8/11*l - f*l**4 - 10/11*l**3 = 0. Calculate l.
-2, -2/3, 0, 1
Let 432*h + 64 + 4*h**4 - 100*h**2 + 68*h**3 - 150 + 460*h**2 - 778 = 0. What is h?
-6, 1
Let o = -11 - -143. Let v be (1 + 0)*-2*o/(-88). Solve 8/5*u**4 + 4/5*u - 8/5*u**v - 16/5*u**2 + 4/5*u**5 + 8/5 = 0 for u.
-2, -1, 1
Factor -4/3*l**2 + 14/5*l - 6/5 + 2/15*l**