ative of c**7/2100 + c**6/180 + 2*c**5/75 + c**4/15 + 7*c**3/3 + 13. Let l(g) be the third derivative of k(g). Factor l(y).
2*(y + 1)*(y + 2)**2/5
Suppose 31 - 3*w**4 + 12*w + 42*w**2 - 66*w**3 - 213*w**2 + 189 + 8 = 0. What is w?
-19, -2, 1
Let m(a) be the second derivative of -a**6/10 + 9*a**5/5 - 23*a**4/4 - 18*a**3 - 839*a. Factor m(i).
-3*i*(i - 9)*(i - 4)*(i + 1)
Let m(w) be the third derivative of -25*w**2 + 7/270*w**5 + 1/3*w**3 + 0*w + 0 - 1/540*w**6 - 5/36*w**4. Factor m(a).
-2*(a - 3)**2*(a - 1)/9
Factor 21 - 73 - 66*t - 33*t**2 - 11*t**2 + 166*t - 4*t**3.
-4*(t - 1)**2*(t + 13)
Let s(x) be the third derivative of 5*x**8/336 - 3*x**7/14 + 7*x**6/12 + x**5/6 - 25*x**4/8 + 35*x**3/6 + 153*x**2. Factor s(c).
5*(c - 7)*(c - 1)**3*(c + 1)
Let a(o) be the first derivative of -o**4/2 + 6*o**3 - 27*o**2 + 54*o - 42. Factor a(c).
-2*(c - 3)**3
Let v(p) = 69*p**2 - 27*p**2 - 9*p**3 + 5*p - 35*p**2 + 2*p**4. Let a(o) = -o**4 + o**2 + o. Let k(l) = 5*a(l) - v(l). Suppose k(b) = 0. What is b?
0, 2/7, 1
Let p = 320065 - 943024/3. Let q = p + -5649. Suppose -392*v**2 + 2744/3*v**3 - 2401/3*v**4 - 16/3 + q*v = 0. Calculate v.
2/7
Let c(z) be the first derivative of 0*z**3 + 3/20*z**5 + 0*z**4 + 10 + 0*z + 0*z**2 + 1/8*z**6. Determine t, given that c(t) = 0.
-1, 0
Let o(p) be the third derivative of p**5/30 + p**4/4 - 10*p**3/3 + 127*p**2. Let o(k) = 0. Calculate k.
-5, 2
Let w = -26651 - -26654. Determine i, given that -14/9*i + 16/9*i**2 - 4/3 + 10/9*i**w = 0.
-2, -3/5, 1
Let j = -2740 + 2741. Find o, given that 19/4*o**3 + 6*o - 7/4*o**5 - j - 41/4*o**2 + 9/4*o**4 = 0.
-2, 2/7, 1
Let v = 45 + -31. Let t = v - 11. Find p such that -4*p**t + p**3 + p**3 - 2*p**2 = 0.
-1, 0
Suppose -d - 5*n + 8 = 0, -4*d - n + 57 = -6*n. Solve -6*i**3 - 12 + 9*i + 2*i + 3*i**4 + d*i - 9*i**2 = 0.
-2, 1, 2
Let z be (-2)/(0 + 10/(-15)). Let d(p) be the second derivative of -3/4*p**2 - 1/4*p**z + 5*p + 1/8*p**4 + 0 + 3/40*p**5. Suppose d(q) = 0. Calculate q.
-1, 1
Let f(l) = l**4 + l**2 - l + 1. Let k = -87 + 86. Let c(y) = -2*y**4 - 26*y**3 + 4*y**2 + 18*y - 6. Let d(n) = k*c(n) - 6*f(n). Factor d(r).
-2*r*(r - 6)*(r - 1)*(2*r + 1)
Let a(s) = -4*s**2 - 3*s + 2. Let f(z) = 3*z - 4. Let l be f(3). Let k(u) = -8*u**2 - 7*u + 5. Let y(t) = l*a(t) - 2*k(t). Factor y(b).
-b*(4*b + 1)
Let s(a) be the first derivative of a**5/30 - a**4/4 + 2*a**3/3 + 21*a**2/2 + 22. Let p(n) be the second derivative of s(n). Factor p(d).
2*(d - 2)*(d - 1)
Let r(z) be the first derivative of -z**6/2 + 108*z**5/5 - 429*z**4/2 - 684*z**3 - 1083*z**2/2 + 205. Factor r(x).
-3*x*(x - 19)**2*(x + 1)**2
Let s(z) = -z**2 - 12*z - 21. Let q be s(-9). Let l be (2/9)/(2/q). Suppose -4/3*a + 2*a**3 + 0 - l*a**2 = 0. What is a?
-2/3, 0, 1
Suppose -3*p + 2*f = 2 + 20, 3*p = 5*f - 37. Let o be (p + (-396)/(-27))*2/8. Factor -o*m**2 + 2/3 - 2*m.
-2*(m + 1)*(4*m - 1)/3
Let x(u) = -2*u**2 - 149*u + 4894. Let a(s) = -3*s**2 - 152*s + 4892. Let r(g) = 3*a(g) - 4*x(g). Factor r(v).
-(v - 70)**2
Let -1/6*w**5 + 7/6*w**3 - w + 0 - 1/6*w**4 + 1/6*w**2 = 0. Calculate w.
-3, -1, 0, 1, 2
Let p(q) be the first derivative of q**7/2 + 33*q**6/10 + 159*q**5/20 + 31*q**4/4 - 6*q**2 - 3*q - 9. Let i(w) be the first derivative of p(w). Factor i(c).
3*(c + 1)**3*(c + 2)*(7*c - 2)
Let a(z) be the first derivative of 2*z**6/15 + z**5/5 - z**4 - 2*z**3/3 + 4*z**2 + 7*z - 26. Let n(d) be the first derivative of a(d). Factor n(q).
4*(q - 1)**2*(q + 1)*(q + 2)
Factor t**4 + 7*t**4 - 36260 + 6*t**3 - 8*t**2 + 36260 - 8*t + 2*t**5.
2*t*(t - 1)*(t + 1)*(t + 2)**2
Let -2*z - 10802 + 10802 + 2*z**3 + 18*z - 18*z**2 = 0. Calculate z.
0, 1, 8
Let r be 2/(28/6) + 444/2590. Let w(p) be the first derivative of -p**3 + 5 + 0*p + 3/2*p**4 - 3*p**2 + r*p**5. Let w(z) = 0. Calculate z.
-2, -1, 0, 1
Let y(r) be the third derivative of -r**6/300 + 2*r**5/75 + r**4/12 - 111*r**2. Suppose y(d) = 0. Calculate d.
-1, 0, 5
Let o(q) be the first derivative of 0*q**2 - 1/10*q**5 - 11 - 1/3*q**3 - 1/3*q**4 - 15*q. Let u(k) be the first derivative of o(k). What is y in u(y) = 0?
-1, 0
Let m = -8 + 20. Determine f so that -m*f**2 + 12*f**2 - 5*f**2 + 5*f = 0.
0, 1
Let r(n) be the first derivative of -1/12*n**4 + 1/3*n + 1/3*n**3 + 3 - 1/2*n**2. Determine t, given that r(t) = 0.
1
Suppose -o - 3*g = 0, -g - 4*g = -3*o - 0*g. Let -2/11*t**4 - 8/11 + 10/11*t**2 + 0*t**3 + o*t = 0. Calculate t.
-2, -1, 1, 2
Factor -6/5*g**2 - 2*g + 10/3 - 2/15*g**3.
-2*(g - 1)*(g + 5)**2/15
Let a(v) be the second derivative of v**6/30 - 11*v**5/20 + 9*v**4/4 - 25*v**3/6 + 4*v**2 + 6*v - 18. Factor a(r).
(r - 8)*(r - 1)**3
Let y = -9 - -12. Suppose 65 = y*p + 2*p. Suppose -5*t**3 + 3*t**4 - 3*t**2 - 8*t + p*t + 2*t**2 - 2 = 0. Calculate t.
-1, 2/3, 1
Factor 23*l - 263*l + 1797 - 5397 - 4*l**2.
-4*(l + 30)**2
Let t(k) be the first derivative of -k**5/450 + k**4/90 + 8*k**3/45 - k**2 - 12. Let v(m) be the second derivative of t(m). Factor v(c).
-2*(c - 4)*(c + 2)/15
Let f be (-2)/(7/(7/(-2))). Let z be 4 - 1 - (f + 0). Factor 5*t**4 - 2*t**z - 3*t**4 + 0*t**4.
2*t**2*(t - 1)*(t + 1)
Let l(v) = v**3 + 13*v**2 + 94*v + 99. Let q(y) = -2*y**3 - 40*y**2 - 280*y - 296. Let i(d) = -8*l(d) - 3*q(d). Factor i(f).
-2*(f - 12)*(f + 2)**2
Solve -90*s**2 - 30 - 5 + 5*s**4 - 20*s**3 - 2 + 2 - 100*s = 0 for s.
-1, 7
Factor 34/3*d**2 - 34/3 + 1/3*d - 1/3*d**3.
-(d - 34)*(d - 1)*(d + 1)/3
Solve 764/13*w + 72962/13 + 2/13*w**2 = 0 for w.
-191
Suppose -6 = -2*p - 3*l, 3*p - 5*l - 4 = 5. Factor 2 + 469*h**5 + 9*h + 14*h**p + 4*h**4 + 2*h**4 - 468*h**5 + 16*h**2.
(h + 1)**4*(h + 2)
Suppose 3*q - 2*r = 7*q - 164, 3*q = 5*r + 110. Let k**2 + 5*k**5 + q*k - 15*k**3 - 5*k**4 + 4*k**2 - 30*k = 0. What is k?
-1, 0, 1, 2
Let n(t) be the second derivative of 0 - 15*t - 1/2*t**3 + 1/4*t**4 - 3*t**2. Determine x, given that n(x) = 0.
-1, 2
Let y(a) be the second derivative of 1/98*a**7 - 1/14*a**4 - 3/70*a**5 + 0 + 15*a + 1/14*a**3 + 3/14*a**2 + 1/70*a**6. Factor y(u).
3*(u - 1)**2*(u + 1)**3/7
Let r be -5*(-6)/75*-5. Let s = 4 + r. Factor -3*b**2 + 8*b**s - b**2 + 16 + 13*b + 3*b.
4*(b + 2)**2
Let m = 7313/10 + -61291/70. Let s = -144 - m. Factor -6/7*h + 6/7*h**2 - s*h**3 + 2/7.
-2*(h - 1)**3/7
Let g be 0 - ((-12)/(-54) - 32/(-18)). Let r be (g/4 + -1)/(9/(-24)). Let -1/5*z**2 + 1/5*z - 1/5*z**3 + 1/5*z**r + 0 = 0. What is z?
-1, 0, 1
Let 3*k**5 - 35*k - 54 - 60*k**2 - 72*k - 49*k + 18*k**4 + 18*k**3 + 0*k**5 + 39*k = 0. What is k?
-3, -1, 2
Factor 6*u**2 + 21*u**3 - u**4 + 30*u**2 + 9*u**5 + 8*u + 40*u**4 + 37*u**3.
u*(u + 1)*(u + 2)*(3*u + 2)**2
Let t = -1933 - -1933. Factor 0*d + 0*d**3 + t*d**2 + 0 - 2/5*d**4 - 2/5*d**5.
-2*d**4*(d + 1)/5
Suppose -11 + 5 = -3*n. Let -6*q**2 + n*q**2 + q**2 + 3 = 0. What is q?
-1, 1
Find c, given that -1/3 + 1/3*c - 1/3*c**3 + 1/3*c**2 = 0.
-1, 1
Let y be (3 - -2)*(-16)/(-10). Suppose 0 = 4*w - y*w + 16. Suppose -4*x**3 + x**3 - x + w*x**3 = 0. What is x?
-1, 0, 1
Find x, given that -1/8*x**2 - 2 - 17/8*x = 0.
-16, -1
Let k be -8 - 3*(-2 + 3). Let d = 12 + k. Solve 1/4*f**2 + 0*f - d = 0.
-2, 2
Let y(s) be the first derivative of -3*s**4/4 + 43*s**3 - 249*s**2/2 + 123*s + 304. Suppose y(j) = 0. Calculate j.
1, 41
Let b(v) be the second derivative of 0*v**2 + 1/57*v**4 + 0 + 0*v**3 - 1/285*v**6 + 40*v + 1/190*v**5. Factor b(q).
-2*q**2*(q - 2)*(q + 1)/19
Let m(u) = -5 + 2*u + 1 - 3*u. Let f be m(-9). Factor 7*h**2 - f*h - 10*h**2 + 3 - 1.
-(h + 2)*(3*h - 1)
Solve 17956 + 76*h - 159*h - 265*h - 170*h + 4*h**2 - 18*h = 0 for h.
67
Let t(s) be the second derivative of s**4/4 - 17*s**3 + 99*s**2/2 + 538*s. Suppose t(n) = 0. Calculate n.
1, 33
Let a be (2/12)/(1/2). Let m(w) = 2*w**3 + 18*w**2 + 20*w + 32. Let b be m(-8). Determine v, given that a*v**2 - 1/3 + b*v = 0.
-1, 1
Solve 12/7 + 8/7*i**2 + 22/7*i - 2/7*i**3 = 0 for i.
-1, 6
Let p(r) = r**3 - 14*r**2 - 14*r - 12. Let a be p(15). Let 671*l**4 + 5*l**2 + 15*l - 3*l**a - 14*l**2 - 668*l**4 - 6 = 0. Calculate l.
-2, 1
Let d(b) = -b + 2. Let w be d(3). Let n be 3 - w*25/(-9). Solve 8/9*c**2 + n + 8/9*c = 0 for c.
-1/2
Let j(n) = 6*n + 2. Let o be j(0). Suppose -145 - 4*b**2 + 28*b + 47 + o*b**2 = 0. What is b?
7
Suppose -47 + 104 = 19*f. Let s(c) be the first derivative of 3 + 1/3*c**2 + 0*c - 2/9*c**f. Factor s(h).
-2*h*