34*z - 18. Let t(h) = -36*g(h) + 2*j(h). Determine o so that t(o) = 0.
-26, 0, 1
Let y(u) be the first derivative of 1/30*u**5 + 0*u - 1/8*u**4 + 1/6*u**3 - 3*u**2 - 2. Let z(w) be the second derivative of y(w). Factor z(q).
(q - 1)*(2*q - 1)
Let y(l) = -l**2 - 11*l - 7. Let g be y(-10). Let i(m) be the first derivative of 0*m + 1 - 2/3*m**2 - 27/4*m**4 - 4*m**g. Factor i(s).
-s*(9*s + 2)**2/3
Let c = -262 - -468. Let g(l) be the first derivative of -4*l**3 - c + 204 + 5*l**3. Determine v so that g(v) = 0.
0
Let m(j) = j**2 + 1. Let k(w) = -7*w + 4*w + 28 - 5*w - 4*w + 8*w**2. Let v(p) = k(p) - 12*m(p). Find i, given that v(i) = 0.
-4, 1
Let l = 57 + -24. Let i = -21 + l. Factor -3 - 3*a**2 - 5*a**2 + i*a - a**2.
-3*(a - 1)*(3*a - 1)
Let c(b) be the second derivative of -b**5/60 + b**4/6 - b**3/2 + 2*b**2/3 + 81*b. Factor c(t).
-(t - 4)*(t - 1)**2/3
Let a(g) be the third derivative of g**7/3276 - g**6/1560 - g**5/390 - 3*g**4/8 + 13*g**2. Let l(t) be the second derivative of a(t). What is m in l(m) = 0?
-2/5, 1
Let s be 4/18 + (-100)/45. Let c(u) = -u**3 + u**2 + 3*u + 1. Let x be c(s). Find y such that -8*y**5 - 12*y**2 + 4*y**5 + 4*y**2 + x*y**3 + 5*y**3 = 0.
-2, 0, 1
Let f be (-12 + 6)/6 - -2*2. Let i(y) be the first derivative of 0*y**f - 4 - 9/20*y**5 + 0*y + 0*y**2 - 3/8*y**4. Solve i(n) = 0.
-2/3, 0
Let r = 82/97155 + -186296539/32385. Let t = -5747 - r. Factor -t*x**3 - 16/9 - 2/9*x**5 - 76/9*x**2 - 56/9*x - 16/9*x**4.
-2*(x + 1)**2*(x + 2)**3/9
Let d(q) = 45*q**3 + 529*q**2 - 760*q + 268. Let i(p) = 90*p**3 + 1057*p**2 - 1520*p + 534. Let t(c) = -7*d(c) + 4*i(c). Determine f so that t(f) = 0.
-13, 2/3
Suppose 0 = 4*a - 5*a - 2*b - 9, -2*b = -2*a + 6. Let p be (-6)/(-3) - (a + 5/2). Factor 2*t**2 + 0 + 3*t**3 + 2*t**4 + p*t**5 + 1/2*t.
t*(t + 1)**4/2
Let y(t) be the second derivative of t**9/75600 + t**8/33600 - t**7/12600 - t**6/3600 - 8*t**4/3 + 5*t. Let h(j) be the third derivative of y(j). Factor h(q).
q*(q - 1)*(q + 1)**2/5
Let a be (-84)/(-63)*(-18)/(-16). Let y(l) be the second derivative of 9/2*l**2 - 3*l + 0 - 1/60*l**5 - a*l**3 + 1/4*l**4. Factor y(i).
-(i - 3)**3/3
Let n be -321*((3 - 3) + -1). Let m = n - 4167/13. Factor -6/13*g**3 + 0 - 2/13*g**4 - m*g**2 - 2/13*g.
-2*g*(g + 1)**3/13
Suppose 3*m - 2*h + 99 - 111 = 0, -h - 1 = m. Let y(u) be the first derivative of m*u - u**2 + 1/2*u**4 + 5 - 2/3*u**3. Find q, given that y(q) = 0.
-1, 1
Suppose 3*z + 46*y = 42*y + 39, -5*z + 57 = 4*y. Let g be ((-30)/(-260))/(z/12). Suppose g*l**3 + 0 + 6/13*l**2 + 4/13*l = 0. What is l?
-2, -1, 0
Let g = 7594 + -22766/3. Let g*r - 22/5*r**2 - 2/15*r**4 - 32/15 + 4/3*r**3 = 0. What is r?
1, 4
Solve -168*t**2 + 82*t**2 + 100*t**2 + 11*t + t**3 - 26 = 0.
-13, -2, 1
Let b(u) be the first derivative of -3*u**6/2 - 21*u**5/5 - 15*u**4/4 - u**3 - 487. Factor b(l).
-3*l**2*(l + 1)**2*(3*l + 1)
Factor 4*f**2 + 8*f - f**3 - 5/4*f**4 - 1/4*f**5 + 4.
-(f - 2)*(f + 1)*(f + 2)**3/4
Let o = 3007037/205695 - -4/29385. Let j = -93/7 + o. Suppose 0 - 2*t**5 + j*t - 2*t**2 - 2*t**3 + 14/3*t**4 = 0. What is t?
-2/3, 0, 1
Suppose -7*q - 3*w + 30 = w, -5*q + 3*w - 2 = 0. Let x(z) be the first derivative of -3 - 1/20*z**5 + 1/8*z**4 + 0*z - 1/12*z**3 + 0*z**q. Factor x(p).
-p**2*(p - 1)**2/4
Let d be 4/(-8) - 299/(-2). Solve 2*v**2 - 2*v**4 + 2*v**3 + 299*v - 152*v - d*v = 0.
-1, 0, 1
Let d(h) be the first derivative of h**7/105 - 2*h**6/75 + h**4/15 - h**3/15 - 8*h - 4. Let s(w) be the first derivative of d(w). What is g in s(g) = 0?
-1, 0, 1
Let s(o) be the first derivative of o**4 - 16*o**3/3 + 6*o**2 - 55. Factor s(k).
4*k*(k - 3)*(k - 1)
Let u(s) be the second derivative of -1/10*s**6 + 6/5*s**5 + 16*s**3 + 5*s - 6*s**4 + 0 - 24*s**2. Suppose u(j) = 0. What is j?
2
Let d be 206/880 + (-4)/20. Let q = 889/264 - d. Factor 10/3*s**3 - 4/3*s**2 + 4/3 - q*s.
2*(s - 1)*(s + 1)*(5*s - 2)/3
Let h(y) be the second derivative of 0*y**2 + 9*y - 3/14*y**7 + 7/20*y**5 + 0 + 1/3*y**3 - 11/12*y**4 + 11/30*y**6. Determine j, given that h(j) = 0.
-1, 0, 2/9, 1
Factor 8/23*s**4 + 2/23*s**5 + 8/23*s**2 + 0 + 2/23*s + 12/23*s**3.
2*s*(s + 1)**4/23
Let c = 5 - 2. Suppose -2*n**4 - 8*n + 6*n**2 + 2*n**2 + 2*n**c - 6*n**4 + 6*n**4 = 0. What is n?
-2, 0, 1, 2
Let v(l) be the first derivative of -3*l**4/4 + 30*l**3 - 231*l**2/2 - 324*l + 103. Find d such that v(d) = 0.
-1, 4, 27
Let l(f) be the first derivative of -28*f**5/5 + 16*f**4 + 4*f**3 - 32*f**2 + 16*f + 57. Let l(p) = 0. What is p?
-1, 2/7, 1, 2
Let p(c) be the second derivative of 0 + 1/6*c**2 + 2/27*c**3 + 1/108*c**4 + 14*c. Factor p(q).
(q + 1)*(q + 3)/9
Let w = 27/4 + -53/12. Factor w*k - 5/3*k**2 - 2/3.
-(k - 1)*(5*k - 2)/3
Let p(q) be the first derivative of q**8/168 - q**6/30 + q**4/12 + 19*q**2/2 + 11. Let g(j) be the second derivative of p(j). Factor g(k).
2*k*(k - 1)**2*(k + 1)**2
Factor 32/5 - 4/5*l**4 + 84/5*l**2 - 92/5*l - 4*l**3.
-4*(l - 1)**3*(l + 8)/5
Let n(g) = 19*g**2 + 25*g**2 + 2*g + 3*g - 1 - 42*g**2. Let k be n(-3). Determine z so that 0 - 2/5*z**4 + 4/5*z**3 - 2/5*z**k + 0*z = 0.
0, 1
Let u(f) be the first derivative of f**3/9 + 5*f**2/3 - 8*f - 36. Factor u(q).
(q - 2)*(q + 12)/3
Let d be (-17)/(918/24)*(-3)/2. Factor -4/3*l**4 + 0*l + 2/3*l**2 - d*l**3 + 0.
-2*l**2*(l + 1)*(2*l - 1)/3
Let u be (2/8*2)/((-15)/(-60)). Let g be (2 - 0 - u)*2/(-4). Factor 0 + g*j - 2/7*j**2.
-2*j**2/7
Let t(z) be the first derivative of -z**6/1620 + z**4/27 + 8*z**3 + 34. Let f(g) be the third derivative of t(g). Suppose f(w) = 0. Calculate w.
-2, 2
Let b = 22 + -18. Let -5*d**2 - 6*d**2 + 25*d**2 - b*d = 0. Calculate d.
0, 2/7
Let b(o) be the third derivative of 0 + 11/60*o**4 + 1/300*o**6 + 4/15*o**3 + 0*o + 3/50*o**5 - 10*o**2 - 1/525*o**7. Let b(c) = 0. What is c?
-1, 4
Let f = -313 + 465. Let z = 458/3 - f. Factor -z*c**2 + 4/3*c**3 + 0 - 4/3*c + 2/3*c**4.
2*c*(c - 1)*(c + 1)*(c + 2)/3
Let 521*r**2 + 521*r**2 - 5*r**3 - 1041*r**2 + 5*r - r**4 = 0. Calculate r.
-5, -1, 0, 1
Let i be -3 - (7428/(-621))/4. Let w = 613/828 - i. Suppose -1/4 - w*a + a**2 = 0. What is a?
-1/4, 1
Find w such that -26/7*w - 27/7 + 1/7*w**2 = 0.
-1, 27
Let g(n) = -n**4 - n**3 + 13*n**2 - 8. Let z(u) = u**4 - u**3 - u**2. Let o(k) = g(k) - 5*z(k). Suppose o(q) = 0. Calculate q.
-1, 2/3, 2
Suppose -j - 6 + 14 = y, 4*y - 17 = j. Let -2/13*w**5 - 16/13*w**j - 10/13*w**4 + 0*w + 0 - 8/13*w**2 = 0. Calculate w.
-2, -1, 0
Factor -33*r**4 + 5 - 20*r**3 - 24*r**4 + 30*r**2 - 20*r + 89*r**4 - 27*r**4.
5*(r - 1)**4
Let d = 40 + -38. Find k, given that 7*k - k**d - 6*k + 2*k**2 = 0.
-1, 0
Let g(u) be the second derivative of u**5/20 - 3*u**4/4 - u**3/6 + 9*u**2/2 - 575*u. Factor g(y).
(y - 9)*(y - 1)*(y + 1)
Let b(o) be the first derivative of -o**4 - 4*o**3 + 32*o**2 - 48*o - 10. Factor b(k).
-4*(k - 2)*(k - 1)*(k + 6)
Let i(j) be the first derivative of j**9/1512 + j**8/168 + j**7/70 - 25*j**3/3 + 14. Let l(p) be the third derivative of i(p). Factor l(x).
2*x**3*(x + 2)*(x + 3)
Suppose 0*f + 2 = -f. Let n be f + -5*24/(-30). Let -1/4*g + 0 - 1/4*g**n = 0. What is g?
-1, 0
Let z = -1638 + 114661/70. Let k(l) be the third derivative of 0*l**4 - 7*l**2 + 0*l + z*l**7 + 0 + 0*l**3 + 0*l**5 - 1/40*l**6. Determine y so that k(y) = 0.
0, 1
Suppose 26 = 4*u - 3*m, 13 = 3*u - 2*m + 3*m. Factor 18*c**2 + u*c - 3*c**2 - 10*c.
5*c*(3*c - 1)
Factor -2*t**3 + 3*t**3 + 4*t - 5*t.
t*(t - 1)*(t + 1)
Let c(h) be the first derivative of -5*h**2 - 57 + 8/3*h**3 - 1/2*h**4 + 4*h. Suppose c(d) = 0. What is d?
1, 2
Factor 1/2*n**4 - 3*n**3 + 0 - 1/2*n**2 + 3*n.
n*(n - 6)*(n - 1)*(n + 1)/2
Factor 5*h + 5/3*h**2 - 50/3.
5*(h - 2)*(h + 5)/3
Let m(x) be the second derivative of x**4/72 + 5*x**3/6 + 75*x**2/4 - 2*x + 91. Factor m(p).
(p + 15)**2/6
Let a(f) be the second derivative of -16*f**4/15 - 8*f**3/5 - 9*f**2/10 - 50*f. Factor a(x).
-(8*x + 3)**2/5
Suppose -26 = 5*q + 3*o, 2*q + o + 10 = -1. Let w(v) = v**2 - 4*v - 5. Let r(m) = -m**2 + 3*m + 4. Let i(l) = q*r(l) - 6*w(l). Solve i(j) = 0 for j.
-2, -1
Factor 0 + 0*i + 8*i**2 + 20/3*i**3 - 44/3*i**4.
-4*i**2*(i - 1)*(11*i + 6)/3
Let o(f) be the second derivative of 0 - 3/14*f**3 + 19*f - 3/14*f**2 - 3/28*f**4 - 3/140*f**5. What is h in o(h) = 0?
-1
Let t(a) = 3*a - 7. Let b be t(3). Find o such that -10*o - 4*o**b - 