 r be x(-5). Find h, given that 2*h**2 - 3*h - h**2 + r - h**3 + 2*h**2 = 0.
1
Let j(l) be the second derivative of -l**6/165 + l**4/66 - 3*l. Factor j(r).
-2*r**2*(r - 1)*(r + 1)/11
Let w(t) be the first derivative of 3*t**2 + 6*t**4 + 0*t + 6 + 7*t**3 + 9/5*t**5. Factor w(g).
3*g*(g + 1)**2*(3*g + 2)
Suppose -6*k + 165 = -k. Suppose -k*g = -35*g. Factor 0 + g*j - 21/4*j**4 - 15/4*j**3 + 3/2*j**2.
-3*j**2*(j + 1)*(7*j - 2)/4
Let k be 2/(-2) + (5 - 4). Suppose k = -3*o - c, 10*c = 5*o + 5*c. Let 0 - 2/5*s + o*s**2 + 2/5*s**3 = 0. What is s?
-1, 0, 1
Let u be (15517/(-4))/((-94765)/(-44)). Let y = -2/1723 - u. Suppose -3/5 - y*l**4 + 6/5*l - 6/5*l**3 + 12/5*l**2 = 0. Calculate l.
-1, 1/3, 1
Let m(q) be the second derivative of -q**7/168 - q**6/120 + q**5/40 + q**4/24 - q**3/24 - q**2/8 - 34*q. Factor m(k).
-(k - 1)**2*(k + 1)**3/4
Suppose 0 = -n - 5 + 13. Suppose 3*r = -5*b - 3 - 9, -3*b + 2*r = -n. Let 0*x - 2/5*x**3 + 2/5*x**2 + b = 0. Calculate x.
0, 1
Let s(j) be the third derivative of j**2 + 5/96*j**4 + 1/12*j**3 + 1/60*j**5 + 0 + 0*j + 1/480*j**6. Solve s(q) = 0.
-2, -1
Suppose -11 = -h - 2*x, -2*h + 7*x - 5 = 2*x. Factor -4*k**4 - 5*k**3 + 5*k**5 - 3*k**5 + 2*k**3 + h*k**3.
2*k**3*(k - 1)**2
Let n(g) be the first derivative of -3*g**4/4 + 9*g**2/2 + 6*g + 12. Factor n(q).
-3*(q - 2)*(q + 1)**2
Let m(u) be the second derivative of u**7/168 - u**5/40 + u**3/24 - 10*u. Determine f, given that m(f) = 0.
-1, 0, 1
Let o(t) be the second derivative of -t**9/22680 - t**8/5040 - t**7/3780 + t**4/6 + 3*t. Let v(u) be the third derivative of o(u). Solve v(y) = 0 for y.
-1, 0
Let k(g) = g**2 - 3*g. Suppose v = -2*w + 4, w + 4 - 7 = 0. Let h(j) = -2*j**2 + 4*j. Let f(p) = v*h(p) - 3*k(p). Solve f(y) = 0 for y.
-1, 0
Let m(s) = -12*s**3 + 16*s**2 - 9*s + 5. Let d(z) = 13*z**3 - 16*z**2 + 10*z - 6. Let y(l) = 5*d(l) + 6*m(l). Determine v, given that y(v) = 0.
0, 2/7, 2
Let r be (6/16)/(2/16*6). Factor 2*f - 3*f**2 - r - 1/2*f**4 + 2*f**3.
-(f - 1)**4/2
Suppose 81*j**2 - 158*j**2 - 25 + 20*j + 82*j**2 = 0. What is j?
-5, 1
Suppose -3 = o - 7. Let t(c) be the first derivative of -3*c - c**3 + 2 + c + c + o*c. Solve t(a) = 0.
-1, 1
Let n(a) = a**3 + 6*a**2 - 7*a - 9. Let r be n(-7). Let g = r - -12. What is t in -4/5*t**4 + 0 + 0*t - 1/5*t**g + 1/5*t**2 + 4/5*t**5 = 0?
-1/2, 0, 1/2, 1
Let m be (0 + -2)/(2/(-8)). Suppose -m = -3*c - 2. Factor s**c - s**2 + s**3 - s**2 - s + s**4.
s*(s - 1)*(s + 1)**2
Let o(w) = -w + 7*w**2 - 4 + 2*w - w**3 + 0*w. Let f be o(7). Factor v**2 + 9*v + 0*v - f*v + 2*v**2.
3*v*(v + 2)
Suppose -3*l = -5*g - 51, -5*l - 5*g + 65 + 60 = 0. Let y = l - 16. Find i such that -2*i**5 - y*i**2 - i**5 + 5*i**2 + 3*i**3 - 3*i**4 + 4*i**5 = 0.
0, 1
Let w(b) be the third derivative of 1/48*b**4 + 0*b - 1/240*b**6 - 1/6*b**3 + 0 - 1/420*b**7 + 1/40*b**5 + b**2. Suppose w(z) = 0. What is z?
-2, -1, 1
Let t(d) be the second derivative of 0*d**2 + 6*d + 0*d**5 + 0 + 2/15*d**4 + 0*d**3 - 1/105*d**7 - 1/25*d**6. Suppose t(q) = 0. Calculate q.
-2, 0, 1
Factor 0*k**2 + 0*k + 4/7*k**3 + 0 - 6/7*k**4.
-2*k**3*(3*k - 2)/7
Let m(o) = -3*o**2 + 2*o - 4. Let p(b) be the first derivative of 7*b**3/3 - 3*b**2/2 + 8*b + 2. Let i(z) = 5*m(z) + 2*p(z). Factor i(v).
-(v - 2)**2
Let v be (0/9)/(11 + -10). Factor v - 1/4*k**3 + 1/4*k - 1/4*k**4 + 1/4*k**2.
-k*(k - 1)*(k + 1)**2/4
Determine m, given that 231*m**3 + 54*m**2 - 100/3*m - 8 - 245/3*m**4 = 0.
-2/7, 2/5, 3
Let m(b) be the first derivative of b**6/420 + b**5/210 - b**4/84 - b**3/21 + 2*b**2 - 1. Let s(k) be the second derivative of m(k). Solve s(l) = 0.
-1, 1
Let d be 17 + -20 + 3 + 0. Let s(h) be the first derivative of d*h + 0*h**3 + 0*h**4 - 1 - 1/15*h**6 + 0*h**5 + 0*h**2. Solve s(j) = 0 for j.
0
Let q(o) be the third derivative of 0 - 1/8*o**3 + o**2 + 3/80*o**5 - 1/70*o**7 - 1/16*o**4 + 1/40*o**6 + 0*o. Suppose q(r) = 0. Calculate r.
-1/2, 1
Factor -181 + 19 - 2*k**5 - 16*k**3 - 116*k**3 - 26*k**4 - 378*k - 324*k**2.
-2*(k + 1)*(k + 3)**4
Determine w so that 0 - 2/9*w**4 - 16/9*w**2 - 8/9*w - 10/9*w**3 = 0.
-2, -1, 0
Let r be (12/45)/(4*8/320). Factor -4/3*j - 8/3*j**2 + 4/3*j**3 + r.
4*(j - 2)*(j - 1)*(j + 1)/3
Let f be (1 - 5)*((-20)/48)/5. Determine a, given that f*a**4 + 0*a + 1/3*a**2 + 0 + 2/3*a**3 = 0.
-1, 0
Let h(m) be the first derivative of m**4/8 + m**3/3 + m**2/4 + 8. Factor h(z).
z*(z + 1)**2/2
Let k(z) be the second derivative of 7*z**5/4 + 115*z**4/12 - 55*z**3/3 - 20*z**2 - 25*z. Find o, given that k(o) = 0.
-4, -2/7, 1
Let y = -59 + 59. Factor 2/11*j**3 + y*j + 0*j**2 + 2/11*j**5 - 4/11*j**4 + 0.
2*j**3*(j - 1)**2/11
Let u(f) = f**3 + 21*f**2 - 20*f + 46. Let t be u(-22). Factor 0*y + 2/3*y**4 + 0 - 2/3*y**t + 2/3*y**5 - 2/3*y**3.
2*y**2*(y - 1)*(y + 1)**2/3
Let i = -2838/5 + 568. Factor -i + 12/5*p**3 + 3/5*p + 17/5*p**2.
(p + 1)*(3*p + 2)*(4*p - 1)/5
Let i be (-1)/(-4) - 3/12. Suppose -4*u - 5*h + 8 = 0, i*h = -5*u + 3*h + 10. Find f, given that 1/4*f**u + f + 1 = 0.
-2
Let f be -4 + 4 + 4 + 1. Suppose 2*i**2 + 0*i**3 - f*i**3 + 0*i**3 + 3*i**3 = 0. What is i?
0, 1
Let q(h) be the first derivative of -h**4/24 - h**3/18 + h**2/12 + h/6 - 16. Factor q(a).
-(a - 1)*(a + 1)**2/6
Factor 1 - 148*x**4 - 4*x**3 + 2*x**3 + 147*x**4 + 2*x.
-(x - 1)*(x + 1)**3
Let v = 12 + -17. Let p(w) = w**3 + w**2 + w. Let y(u) = 9*u**2 + 10*u - 2 + 2*u**2 + 0 - 4*u**3. Let n(a) = v*p(a) + y(a). Factor n(q).
-(q - 1)*(3*q - 1)*(3*q + 2)
Let i(r) be the second derivative of r**7/63 + r**6/9 + 7*r**5/30 - r**4/18 - 8*r**3/9 - 4*r**2/3 - 10*r - 1. Let i(f) = 0. Calculate f.
-2, -1, 1
Suppose -6 = -5*y + 2*y. Factor -y*c**2 - 21*c**3 + 4*c**2 + 4*c**2 + 15*c**4.
3*c**2*(c - 1)*(5*c - 2)
Suppose 0 = w + 4*w - 40. Let x = -3 + w. Solve 4*o**2 - 2*o**4 - 3 + 2*o - 4*o**3 - 1 + 2*o**x + 2 = 0 for o.
-1, 1
Let r be ((-22)/11)/((-1)/2). Factor 24*t**2 - t + r*t + 0*t - 9*t**3 - 6 + 24*t**3.
3*(t + 1)**2*(5*t - 2)
Determine i so that 15*i**2 - 6*i**4 + 24*i**3 - 48 + 68*i - 87*i**2 + 28*i + 3*i**4 = 0.
2
Let s be (5 - (8 + -3)) + 5. Let b(h) be the third derivative of 0*h**3 + 0 + 0*h**s + 0*h + 1/735*h**7 - 2*h**2 + 0*h**4 + 1/420*h**6. Factor b(z).
2*z**3*(z + 1)/7
Let c(y) be the third derivative of -y**7/210 + y**6/180 + y**5/60 - y**4/36 - 7*y**2. Find g such that c(g) = 0.
-1, 0, 2/3, 1
Let n(s) be the first derivative of 7*s**5/80 + 5*s**4/48 - s**3/12 + 4*s - 3. Let k(g) be the first derivative of n(g). Let k(q) = 0. What is q?
-1, 0, 2/7
Let n(w) be the second derivative of 0*w**3 + 0 + 5*w - 1/40*w**6 + 0*w**2 + 3/80*w**5 + 1/16*w**4 - 1/56*w**7. Factor n(q).
-3*q**2*(q - 1)*(q + 1)**2/4
Suppose 16*x - 26 = 22. Let w(b) be the third derivative of 0 + 1/420*b**6 + 0*b - 1/84*b**4 - b**2 + 1/105*b**5 - 2/21*b**x. Factor w(z).
2*(z - 1)*(z + 1)*(z + 2)/7
Let r(i) = 20*i**2 - 3*i - 17. Let a = -1 + 7. Let m(k) = -5 + 8*k**2 - k - k**2 - 1. Let j(p) = a*r(p) - 17*m(p). Factor j(x).
x*(x - 1)
Factor -35/6 - 20/3*y - 5/6*y**2.
-5*(y + 1)*(y + 7)/6
Let o be ((-8)/(-10))/(2/5). Factor 2*r**3 + 2*r + r**3 - 2*r - 6*r**o.
3*r**2*(r - 2)
Let r(y) = -y**4 - y + 1. Let t(d) = -5*d**4 + 4*d**3 - 4*d**2 - 4*d + 4. Let w(s) = -4*r(s) + t(s). Factor w(j).
-j**2*(j - 2)**2
Let i(m) be the second derivative of m**6/10 - 7*m**5/20 + m**4/4 + m**3/2 - m**2 + 12*m. Factor i(j).
(j - 1)**3*(3*j + 2)
Solve -16/3*d - 10 - 2/3*d**2 = 0 for d.
-5, -3
Let a(r) = r**2 + 2*r - 4. Let f be (-2)/3*(-117)/(-26). Let i(p) = -p**2 - 2*p + 3. Let k(o) = f*a(o) - 4*i(o). Factor k(d).
d*(d + 2)
Let k(d) be the third derivative of -d**9/1512 - d**8/420 - d**7/1260 + d**6/180 + 5*d**4/24 + 5*d**2. Let c(a) be the second derivative of k(a). Factor c(y).
-2*y*(y + 1)**2*(5*y - 2)
Suppose 3*y - m = y, -2*y = 4*m - 10. Let p be (9/(-5) + 2)*y. Determine h so that p + 1/5*h**2 + 2/5*h = 0.
-1
Let q(a) be the third derivative of -a**5/20 - a**4/8 + a**3 - 26*a**2. Factor q(x).
-3*(x - 1)*(x + 2)
Suppose -5*u = 25, 5*m - 5*u - 29 - 11 = 0. Let y be (8/(-9))/(-2)*1. Factor -2/9*g**5 + 0*g**m + y*g**2 - 4/9*g**4 + 0 + 2/9*g.
-2*g*(g - 1)*(g + 1)**3/9
Factor -36*r - 5*r + r**3 - 24*r**2 - 55*r - 128 - 3*r**3.
-2*(r + 4)**3
Factor -4/7*w**3 + 8/7*w**2 + 0 + 12/7*w.
-4*w*(w - 3)*(w + 1)/7
Let t(d) = 44*d**4 - 4*d**3 - 40*d**2 + 24*d + 24. Let m(l) = -