et h be (-25)/(-15)*(-5)/(-25). Let a(k) be the first derivative of 7 + h*k**3 + 0*k**4 + 1/3*k**6 - 3/5*k**5 + 0*k + 0*k**2. Solve a(g) = 0 for g.
-1/2, 0, 1
Suppose 8*f - f = 14. Solve 3*c**2 - 6*c + 5*c**f + 11*c - 11*c - 2*c**3 = 0.
0, 1, 3
Suppose -12*z + 29*z - 77*z = 0. Solve -5/6*t**3 + z*t + 0 + 1/3*t**4 + 5/6*t**5 - 1/3*t**2 = 0 for t.
-1, -2/5, 0, 1
Let y(l) be the second derivative of -l**6/120 - 13*l**5/16 - 483*l**4/16 - 3969*l**3/8 - 9261*l**2/4 + 115*l + 2. What is q in y(q) = 0?
-21, -2
Let p = 47 + -41. Suppose -5*i - 5*z = 0, 2*i + z = p*z. Determine g, given that 2/11*g**4 + i*g**3 + 0 + 4/11*g - 6/11*g**2 = 0.
-2, 0, 1
Let a be (5 - 1) + 24/3. Let -30*l - a*l**4 + 24*l - 3*l**2 + 15*l**4 + 9*l**3 - 3*l**5 = 0. What is l?
-1, 0, 1, 2
Factor -207*s**2 + 38*s + 318*s**2 - 112*s**2 + 39.
-(s - 39)*(s + 1)
Let u(b) = 3*b**2 + b + 1. Let w(s) = 10*s**2 - 155*s + 345. Let c(n) = 5*u(n) - w(n). Suppose c(l) = 0. What is l?
-34, 2
Suppose -h + 9*h - 56 = 0. What is l in -l**3 - l**3 + h*l**2 - l**2 = 0?
0, 3
Solve 8710/3*d**3 + 0 + 0*d - 8450/3*d**2 + 2/3*d**5 - 262/3*d**4 = 0.
0, 1, 65
Suppose 5*a - 37 = 2*d - 3, d + 13 = 2*a. Let m(f) be the first derivative of 2/3*f**3 + 4*f**2 + 4 + a*f. Factor m(y).
2*(y + 2)**2
Let k(q) be the first derivative of -5*q + 0*q**2 + 0*q**3 - 1/72*q**4 - 1/120*q**5 + 5. Let x(f) be the first derivative of k(f). Factor x(d).
-d**2*(d + 1)/6
Suppose -38*z - 248 = -42*z. Let r = z + -247/4. Let -1 - 5/4*y**2 + 2*y + r*y**3 = 0. What is y?
1, 2
Let c(w) be the second derivative of -w**5/5 - 2*w**4 + 14*w**3/3 - 150*w. Determine d so that c(d) = 0.
-7, 0, 1
Let u be ((-4)/(-6))/((-25)/(-5) + 485/(-105)). Factor u*w**4 + 0 - 1/2*w - 7/4*w**2 + 1/2*w**3.
w*(w - 1)*(w + 1)*(7*w + 2)/4
Let g be (4/(24/(-81)))/((-3)/(-4)). Let q be (-1 - g/15)*19 + -3. Let 2/5*u**3 + q*u + 0 + 6/5*u**2 = 0. Calculate u.
-2, -1, 0
Let n(s) = s + 8. Let k be n(-4). Suppose 3*j - 19 = -0*j + d, -k*j = -d - 25. Factor 8*f + 2*f**2 + 5 + j - 4 - 1.
2*(f + 1)*(f + 3)
Let d be -4 - 352/66*9/(-6). Factor -4/3 - k**2 + 2/3*k**3 + 1/3*k**d - 8/3*k.
(k - 2)*(k + 1)**2*(k + 2)/3
Let x(t) be the second derivative of 5*t**7/42 + 3*t**6/5 + 9*t**5/20 - 5*t**4/3 - 2*t**3 - 342*t. Find v, given that x(v) = 0.
-2, -3/5, 0, 1
Let d be ((5/(-8))/(50/60))/((-27)/8). Factor 4/9 - d*h - 2/9*h**2.
-2*(h - 1)*(h + 2)/9
Let z(h) = h**3 - 7*h**2 + 7*h + 17. Let k be z(5). Let 3/5 - 2/5*d - 1/5*d**k = 0. Calculate d.
-3, 1
Suppose 5*t - 61 - 34 = 0. Suppose 3*f + 10 = t. Factor -18/11*g**f - 10/11*g**5 - 2/11*g**2 + 0 + 4/11*g + 26/11*g**4.
-2*g*(g - 1)**3*(5*g + 2)/11
Let g(w) be the second derivative of -9*w**6/80 - 11*w**5/40 + w**4 + w**3 - w**2/2 + 8*w. Let k(l) be the first derivative of g(l). Factor k(v).
-3*(v - 1)*(v + 2)*(9*v + 2)/2
Factor -3/2*r**2 - 1/2*r**3 + 13/2*r + 15/2.
-(r - 3)*(r + 1)*(r + 5)/2
Let v = -16293/7 - -97891/42. Let p = 152/3 - 50. Find f, given that -5/6 + p*f**2 - v*f = 0.
-1/4, 5
Let y(w) be the second derivative of w**6/10 - 11*w**4/4 - 9*w**3 - 12*w**2 - 16*w. Find d such that y(d) = 0.
-2, -1, 4
Let t(z) be the third derivative of -z**7/105 + z**6/30 - z**4/6 + z**3/3 + 9*z**2 - 6*z. Let t(x) = 0. Calculate x.
-1, 1
Suppose -3*l + 2*x + 2 = 0, 0 = -4*l - 2*x - 2 - 14. Let z be l/((-39)/(-9) + -5). Factor -2/3*w + 2/3*w**4 + 2*w**2 + 0 - 2*w**z.
2*w*(w - 1)**3/3
Let i(r) be the second derivative of 3*r**5/10 - 10*r**4/3 - 12*r**3 + 32*r**2 - 89*r. Factor i(a).
2*(a - 8)*(a + 2)*(3*a - 2)
Let x(i) = i**2 + 29*i + 4. Let j be x(-29). Let k(p) be the first derivative of j*p**2 - 2/3*p**3 - 6*p - 2. What is o in k(o) = 0?
1, 3
Let s(m) = 4*m + 49. Let c be s(-10). Let d be (8/(-30))/((-6)/c). Factor 2/5*o + 0 - d*o**2.
-2*o*(o - 1)/5
Let s(f) be the third derivative of f**8/2184 - f**6/390 + f**4/156 - 2*f**2 + 21*f. Factor s(t).
2*t*(t - 1)**2*(t + 1)**2/13
Suppose 1 = -2*l - 4*g - 1, -l + 2*g = -7. Let i(b) be the second derivative of 1/9*b**4 + 0 + 0*b**l + 5*b + 0*b**2. Suppose i(z) = 0. Calculate z.
0
Let k(b) be the second derivative of b**6/360 + b**5/12 + 25*b**4/24 - 31*b**3/6 - 18*b. Let l(f) be the second derivative of k(f). Let l(a) = 0. Calculate a.
-5
Let g be ((-9)/126)/(54/(-21)). Let a(k) be the third derivative of 0 - 1/180*k**6 + 0*k - 1/180*k**5 + 4*k**2 + g*k**4 + 1/630*k**7 + 0*k**3. Factor a(i).
i*(i - 2)*(i - 1)*(i + 1)/3
Let w be (-1 - 2) + 2 + 6. Let j(z) be the first derivative of 2/3*z**3 - z + 0*z**2 - 2 - 1/5*z**w + 0*z**4. Find p such that j(p) = 0.
-1, 1
Let l = 7/27 + -5/54. Let j(o) be the third derivative of l*o**3 + 0 + 1/120*o**6 + 1/8*o**4 + 1/20*o**5 + 0*o + 2*o**2. Factor j(y).
(y + 1)**3
Let n(p) = p**3 + 6*p**2 - 8*p - 4. Let c be n(-7). Let u = c - 1. Factor -s + 1 - 3*s**3 + 2*s**3 + 2*s**3 - s**u.
(s - 1)**2*(s + 1)
Let f(m) be the first derivative of -3/34*m**4 + 4/17*m - 16/51*m**3 - 14 - 3/17*m**2. Let f(n) = 0. Calculate n.
-2, -1, 1/3
Let u(h) = 7*h**2 + 18*h - 21 - 19*h**2 + 15*h. Let n(p) = 3*p**2 - 8*p + 5. Let c(x) = 9*n(x) + 2*u(x). Factor c(g).
3*(g - 1)**2
Let l(t) = t**2 - 15*t + 11. Let w be l(14). Let j be (3 - (-10)/8) + w + 0. Factor -1/2*a**2 - 1/2 + j*a.
-(a - 2)*(2*a - 1)/4
Factor -2/7*i**3 - 6/7*i - 20/7 + 12/7*i**2.
-2*(i - 5)*(i - 2)*(i + 1)/7
Let m(q) be the first derivative of -2*q**3 + 9*q**2/2 + 3*q - 15. Let j(i) = 7*i**2 - 9*i - 4. Let k(t) = 3*j(t) + 4*m(t). Determine s, given that k(s) = 0.
0, 3
Let l(u) be the third derivative of -4*u**8/147 - 16*u**7/245 - 3*u**6/70 - u**5/105 + 2*u**2 - 4*u. Factor l(x).
-4*x**2*(x + 1)*(4*x + 1)**2/7
Let p(w) be the third derivative of 7*w**2 + 1/60*w**6 + 4/3*w**3 - 7/12*w**4 + 0*w + 0 + 1/15*w**5. What is m in p(m) = 0?
-4, 1
Suppose -m + 37 = 3*m - 5*g, -5*g - 13 = 4*m. Suppose 3*k + 5*a = -14, 0 = -3*k + 4*a + 12 + 10. Solve 4 + 8*b + 14 - 6 - 7*b**2 + m*b**k = 0.
-1, 3
Let y(s) be the second derivative of -s**7/14 + 3*s**6/10 + 3*s**5/20 - 11*s**4/4 + 6*s**3 - 6*s**2 + s + 239. Let y(i) = 0. Calculate i.
-2, 1, 2
Suppose -u - 1 = -10. Solve 2*g**2 + 16*g**4 + 5*g**5 + u*g**3 - 7*g**4 + 3*g**4 = 0 for g.
-1, -2/5, 0
Let r(v) = v**2 + 24*v + 48. Let n be r(-2). Factor -1 - 7/3*m**n + 6*m**3 + 1/3*m**5 + 13/3*m - 22/3*m**2.
(m - 3)*(m - 1)**4/3
Let w be (-18)/5 + -6*-1*6/9. Let -2/5*r**2 + 0 - w*r = 0. What is r?
-1, 0
Let b(n) = -n**2 - 6*n + 5. Let i be b(-5). Let t be 2/(-20)*-6*i. Find x, given that -9 + 12*x**2 + x**4 - 2*x - 2*x**3 - 1 + t - 5*x**4 = 0.
-2, -1/2, 1
Let j be 14 - 8/6*3 - 1. Let y be (5/j)/((-65)/(-78)). Determine n, given that 0 + 1/3*n + y*n**2 + 1/3*n**3 = 0.
-1, 0
Let q(u) = u**2 + 11*u - 58. Let z be q(4). Let w(t) be the first derivative of -1/6*t**3 - 1/4*t**z - 1/6*t - 1/24*t**4 + 3. Determine x, given that w(x) = 0.
-1
Let v(w) = -24*w**2 + 153*w - 144. Let l(f) = 3*f**2 - 19*f + 18. Suppose -2*u - 14 = -q - 0*u, -31 = -4*q + 3*u. Let i(z) = q*v(z) + 33*l(z). Factor i(d).
3*(d - 3)*(d - 2)
Let x(i) = i**2 - 8*i + 9. Suppose 0 = 2*j - 4*q - 6, -2*j - 2*q + 24 = 3*q. Let d be x(j). Determine f, given that -2*f + 4*f**3 - d*f + 4*f = 0.
0
Let j(u) = -u - 6. Let c be j(-11). Suppose -c*o = 7 - 17. Factor -3/4*f**o - 3/4*f + 0.
-3*f*(f + 1)/4
Let c(p) be the first derivative of -5*p**3/3 + 15*p**2 - 25*p - 64. Suppose c(t) = 0. What is t?
1, 5
Let i(m) be the second derivative of -m**4/3 - 152*m**3/3 - 2888*m**2 - m + 99. Solve i(p) = 0 for p.
-38
Let z = -11136 - -11138. Solve 0 - 2/15*r**z - 4/15*r = 0 for r.
-2, 0
Let o be (-2 - (-16)/7)*(-147)/(-21). Let q(y) be the first derivative of 2/3*y**3 - 5 + 0*y - 2/5*y**5 - 2*y**o + y**4. Factor q(k).
-2*k*(k - 2)*(k - 1)*(k + 1)
Suppose -4/7 - 2*o**2 + 18/7*o = 0. What is o?
2/7, 1
Let r(l) = l**3 - 7*l**2 + 14*l - 45. Let c be r(6). Factor 2/3*m + 0*m**c - 1/3*m**4 + m**2 + 0.
-m*(m - 2)*(m + 1)**2/3
Let h(a) be the second derivative of -a**5/5 + 11*a**4/3 - 76*a**3/3 + 80*a**2 + 311*a. Factor h(v).
-4*(v - 5)*(v - 4)*(v - 2)
Factor 32/7*g**2 + 64/7 + 4/7*g**3 + 80/7*g.
4*(g + 2)**2*(g + 4)/7
Let f(o) be the second derivative of -o**4/20 + 3*o**3/5 - 12*o**2/5 + 41*o. Let f(v) = 0. Calculate v.
2, 4
Let g be (35 + -41)*(15/9)/(-5). What is d in -2*d + 2 + 1/2*d**g = 0?
2
Let t = 636 - 1269/2. Let u(i) be the second derivative o