te b.
-5/3, -1, 2
Let y(w) be the second derivative of w**8/560 + w**7/350 - w**6/200 - w**5/100 - 8*w**2 - 2*w. Let r(a) be the first derivative of y(a). Factor r(g).
3*g**2*(g - 1)*(g + 1)**2/5
Let w(j) be the first derivative of 9*j**5/20 - j**4/2 + 5*j - 10. Let d(u) be the first derivative of w(u). Factor d(x).
3*x**2*(3*x - 2)
Let p(k) be the second derivative of -k**6/150 - 7*k**5/100 - k**4/12 + 7*k**3/30 + 3*k**2/5 - 5*k. Let p(a) = 0. What is a?
-6, -1, 1
Let g(f) be the first derivative of -1/12*f**3 - 9/4*f - 3/4*f**2 + 38. What is w in g(w) = 0?
-3
Let r be (-5 - -3)*(-143)/22. Let a(n) be the first derivative of 4/27*n**3 + 0*n - r - 2/9*n**2. Let a(j) = 0. Calculate j.
0, 1
Suppose -3*q = -5*q - 428. Let j = -1494/7 - q. Determine v, given that 0 - 10/7*v**2 - 6/7*v**3 - j*v = 0.
-1, -2/3, 0
Suppose -g = -2*n - n - 12, -n + 3*g = -4. Let o be 4 + ((-75)/10 - n). Find c such that -o*c**2 - 6 + 6*c = 0.
2
Let i = 18820/7 + -2688. Solve -8/7*f**2 + 0 - i*f + 12/7*f**3 = 0 for f.
-1/3, 0, 1
Determine c so that -60*c**3 + 2*c**5 - 2412*c**2 - 15*c + 30*c**4 + 2462*c**2 - 7*c**5 = 0.
0, 1, 3
Let j be 152/(-7) - 4/14. Let i be (-40)/j - (-4)/22. Factor -5*s**2 + 0*s**2 + s**i.
-4*s**2
Let t(d) be the first derivative of -d**3/9 + 3*d**2/2 + 10*d/3 + 378. Solve t(r) = 0 for r.
-1, 10
Suppose -2*y + 56 = 4*q, y - 4 = -q + 10. Let c be 46/q + (2 - 5). Factor 0*a - 2/7*a**3 + 2/7*a**4 - c*a**2 + 2/7*a**5 + 0.
2*a**2*(a - 1)*(a + 1)**2/7
Suppose -476 = -4*z - 3*t - t, 4*z - 484 = 4*t. Let v be (-2)/10 - (-304)/z. Factor 4/3 - 8/3*p - 19/3*p**2 - v*p**3.
-(p + 1)*(p + 2)*(7*p - 2)/3
Suppose 78 = 3*v - 5*a, -2*a = -v - v + 48. Let h be (-32)/(-12)*(-6)/(-4). Solve 2*l + l + 16*l**5 + 3*l + 21*l**2 - 18*l**3 - v*l**h - 4*l**5 = 0 for l.
-1, -1/4, 0, 1, 2
Suppose -4*h**2 + 2 - 2 + 8*h**4 - 8*h - 4*h**5 - 4*h**4 + 12*h**3 = 0. What is h?
-1, 0, 1, 2
Let v(b) be the second derivative of -1/3*b**4 + 0 - 1/5*b**5 + 1/15*b**6 + b**2 + b + 1/3*b**3 + 1/21*b**7. Factor v(y).
2*(y - 1)**2*(y + 1)**3
Find c such that -161 - 102*c + 63*c - 136 - 8*c**3 + 66*c**2 + 327 - 97*c = 0.
1/4, 3, 5
Let d(f) be the first derivative of 4*f**3/9 + 12*f**2 + 96*f + 587. Factor d(v).
4*(v + 6)*(v + 12)/3
Let l = 24 + -20. Factor 0*h**l - 2*h**4 - 3*h**2 + 19*h**2 - 2*h**4.
-4*h**2*(h - 2)*(h + 2)
Let w(j) be the third derivative of 0*j**3 + 1/6*j**4 + 7/15*j**5 + 0 + 2/5*j**6 - 5*j**2 + 0*j. What is q in w(q) = 0?
-1/3, -1/4, 0
Let t(h) be the third derivative of h**6/160 - 7*h**4/32 - 3*h**3/4 - 2*h**2 + 10. Factor t(v).
3*(v - 3)*(v + 1)*(v + 2)/4
Let l = 107 + -105. Solve -2*t + 0*t**2 - 2*t - t**3 + 5*t + t**4 - t**l = 0 for t.
-1, 0, 1
Let d(r) = -55*r - 275. Let t be d(-5). Let w(v) be the first derivative of 0*v**2 - 2/5*v**5 - 9 + 2/3*v**3 + t*v + 0*v**4. Determine p so that w(p) = 0.
-1, 0, 1
Let h(t) be the second derivative of t**4/4 + 31*t**3/2 - 48*t**2 + 4*t - 4. Factor h(g).
3*(g - 1)*(g + 32)
Let t(n) = -n**3 - 9*n**2 - 9*n - 5. Let i be t(-8). Factor 5*q - 6*q**i + q**3 + 0*q**3.
-5*q*(q - 1)*(q + 1)
Determine n, given that 1/7*n**3 + 24/7*n**2 + 45/7*n + 22/7 = 0.
-22, -1
Suppose 0 = -5*r + x + 5 + 3, -r - 3*x + 8 = 0. Let h be (r*2)/((-3)/(-18)). Factor 0 + 18*i + h*i**3 + 36*i**2 + 0 + 3.
3*(2*i + 1)**3
Let o(k) = 13*k**5 + 16*k**4 - 3*k**2 + 11*k + 11. Let u(h) = 7*h**5 + 9*h**4 - 2*h**2 + 6*h + 6. Let d(q) = 6*o(q) - 11*u(q). Factor d(z).
z**2*(z - 2)**2*(z + 1)
Factor -2 - 1/2*p**2 - 5/2*p.
-(p + 1)*(p + 4)/2
Let d(i) be the first derivative of -2*i**5/55 + 6*i**4/11 + 26*i**3/33 + 143. Find o, given that d(o) = 0.
-1, 0, 13
Let y(n) be the third derivative of -9*n**7/140 + n**6/10 - n**5/15 - 3*n**4/4 + 9*n**2. Let t(i) be the second derivative of y(i). Find a such that t(a) = 0.
2/9
Suppose 2*p = k + 41, -3*p - k + 34 = 3*k. Let m = p - 16. Factor 0*b**m + 1/2*b - 1/2*b**3 + 0.
-b*(b - 1)*(b + 1)/2
Suppose 49*n**4 + 21*n**3 + 20 - 15*n - 25*n**2 - 44*n**4 - 6*n**3 = 0. What is n?
-4, -1, 1
Let c be (-1)/2*-18*14/147. Suppose -2*i - 3*a = 15, 0 = 4*i + 2*a + 11 - 1. Factor c*y + i - 2/7*y**3 - 4/7*y**2.
-2*y*(y - 1)*(y + 3)/7
Let j = 333 + -328. Let m(o) be the first derivative of o**4 - 1/3*o**3 + o - 2*o**2 + j. Factor m(l).
(l - 1)*(l + 1)*(4*l - 1)
Let l(z) = -z - 1. Let c(d) = 5*d**2 - 82*d + 318. Let s(o) = -c(o) + 2*l(o). Let s(k) = 0. Calculate k.
8
Suppose 2*x**3 + 4/3*x**4 + 8/9*x**2 + 2/9*x**5 + 0*x + 0 = 0. Calculate x.
-4, -1, 0
Factor -690 + o**2 - 2*o**2 + 202*o + o - 4*o**2 + 152*o.
-5*(o - 69)*(o - 2)
Let g be (-2*3/(-12))/105. Let l(h) be the second derivative of 4/7*h**2 + 0 - 12*h - g*h**6 + 1/42*h**4 + 2/7*h**3 - 3/140*h**5. Factor l(o).
-(o - 2)*(o + 1)*(o + 2)**2/7
Let h(w) be the second derivative of 2*w**6/15 - 4*w**5/5 - 7*w**4/3 + 20*w**3/3 - 451*w - 1. Factor h(k).
4*k*(k - 5)*(k - 1)*(k + 2)
Let l(k) = -k**3 - 12*k**2 - 10*k + 13. Let a be l(-11). Let i(f) = -f**2 + 9*f - 3. Let m be i(6). Factor -3*j**a - 1 - 11 + m*j - 3*j.
-3*(j - 2)**2
Let f be (-32)/144 - ((-895)/828 + 0). Let y = f + -5/46. Factor -9/4*u**2 + 0 - y*u**5 - 1/2*u - 11/4*u**4 - 15/4*u**3.
-u*(u + 1)**3*(3*u + 2)/4
Determine u so that -1/2*u**4 + 0*u - 7/2*u**3 + 0 + 4*u**2 = 0.
-8, 0, 1
Let k(p) be the third derivative of -p**8/1008 - p**7/90 - 19*p**6/360 - 5*p**5/36 - 2*p**4/9 - 2*p**3/9 - 2*p**2 - 224. Suppose k(n) = 0. What is n?
-2, -1
Let d(k) be the second derivative of -k**6/1440 - k**5/120 - k**4/24 - 2*k**3/3 - 2*k. Let q(f) be the second derivative of d(f). Factor q(a).
-(a + 2)**2/4
Let z(m) = 4*m**2 - 27*m - 5. Let f be z(8). Let h be 187/f + (-8)/56. Factor 2/5*n**4 - 12/5*n**3 - 24/5*n + 8/5 + h*n**2.
2*(n - 2)**2*(n - 1)**2/5
Let v(h) be the first derivative of h**6/160 - h**5/10 + h**4/2 + 5*h**2/2 - 12. Let f(j) be the second derivative of v(j). Solve f(m) = 0.
0, 4
Let y(k) be the first derivative of 5*k**5 - 10*k**4 + 5*k**3/3 + 5*k**2 - 146. Find b such that y(b) = 0.
-2/5, 0, 1
Factor -1/3*q**3 + 5/3*q**2 - 2/3*q - 8/3.
-(q - 4)*(q - 2)*(q + 1)/3
Let r = 9 - 7. Suppose -2*y - y = 3, -r*q + y = -11. Suppose -a**3 + a**3 + q*a**3 - a**3 = 0. What is a?
0
Factor 3*b**2 + 12 - b**2 + 13 + 20*b + 23.
2*(b + 4)*(b + 6)
Let a(q) = -q**2 - q - 1. Let n(x) = 9*x**2 + 276*x + 6081. Let i(j) = -6*a(j) - n(j). What is f in i(f) = 0?
-45
Let k be (2/(-9))/(-1) + (-2)/(-18). Let s(r) = r**2 + r - 2. Let z be s(-2). Factor z - 1/3*a - 2/3*a**2 - k*a**3.
-a*(a + 1)**2/3
Suppose -3*u + 6*u - 12 = 0. Suppose -5*k + 4 = -u*k. Factor 6*z - 9*z + 2 - 3*z**2 + z**4 - k*z + z**3 + 6*z.
(z - 1)**2*(z + 1)*(z + 2)
Let s(n) be the third derivative of 0*n**3 + 0*n**5 + 0 + 1/6*n**4 + 0*n + n**2 - 1/120*n**6. Find y such that s(y) = 0.
-2, 0, 2
Let v(z) be the third derivative of z**8/10080 - z**7/1260 + z**6/540 - 17*z**4/12 - 24*z**2. Let p(x) be the second derivative of v(x). Factor p(d).
2*d*(d - 2)*(d - 1)/3
Factor 63*s**3 + 4 - 5*s**4 - 24*s - 4 + 84*s + 176*s**2.
-s*(s - 15)*(s + 2)*(5*s + 2)
Let z(c) be the second derivative of -c**4/18 + 280*c**3/9 - 19600*c**2/3 + 289*c. Factor z(n).
-2*(n - 140)**2/3
Find v such that -3/5*v**3 + 36/5 + 12/5*v - 9/5*v**2 = 0.
-3, -2, 2
Suppose 5*l + 32 = 147. Let x = -21 + l. Find d such that -5*d**3 + 3*d**4 + 3 - 5*d**x + d**5 + 1 - 2*d**4 + 16*d - 12*d = 0.
-2, -1, 1, 2
Let l be (85/30)/17 + 55/(-6). Let s be l/(-5) + -7 + -1 + 7. Find f such that 2*f - 8/5*f**2 + 2/5*f**3 - s = 0.
1, 2
Let g = -3 - -13. Let a = 15 - g. Factor -9*c**4 + 3*c**5 - 9*c + 6*c**3 - 5*c**2 + 3 + a*c**2 + 6*c**2.
3*(c - 1)**4*(c + 1)
Let n = 46 + -40. Factor 8*x**3 + 1025*x + 250 + 2*x**3 + n*x**3 + 29*x**3 - 440*x**2.
5*(x - 5)**2*(9*x + 2)
Let b(z) = z**4 + z**3 + z**2 + z + 1. Let m(w) = -7*w**4 - 6*w**3 - 9*w**2 - 10*w - 8. Let d(c) = -24*b(c) - 3*m(c). Solve d(y) = 0 for y.
-2, -1, 0, 1
Let l(t) be the second derivative of t**5/60 + 7*t**4/36 + 7*t**3/9 + 4*t**2/3 - 26*t. Determine o so that l(o) = 0.
-4, -2, -1
Let g(i) be the first derivative of 3/2*i + 1/6*i**3 - i**2 + 10. Factor g(b).
(b - 3)*(b - 1)/2
Let v(a) = -9*a**3 - a**2 + 2. Let q be v(-2). Factor -4*l**2 + 4*l - 29 + q - 33.
-4*(l - 2)*(l + 1)
Let s(u) be the third derivative of -u**6/120 - u**5/20 + 3*u**4/8 + 9*u**3/2 + 104*u**2. Find w, given that s(w) 