 the second derivative of 1/15*q**5 - 5/18*q**4 - 3*q + 0*q**2 + 0 - 2/9*q**3 + 1/9*q**6. Suppose x(v) = 0. What is v?
-1, -2/5, 0, 1
Let p = 70/111 - -193/222. Factor -1/2*v**5 + 0*v - v**2 + 0 + 0*v**4 + p*v**3.
-v**2*(v - 1)**2*(v + 2)/2
Determine n so that -7/5*n + 0 - 1/5*n**4 - n**3 + 13/5*n**2 = 0.
-7, 0, 1
Let r(y) be the third derivative of y**8/112 + 38*y**7/35 + 1201*y**6/40 - 911*y**5/2 + 4879*y**4/2 - 6724*y**3 - 3*y**2 + 190. Find c such that r(c) = 0.
-41, 2
Let c(d) be the first derivative of 2*d**5/55 + d**4/22 - 2*d**3/11 - d**2/11 + 4*d/11 + 38. Determine u so that c(u) = 0.
-2, -1, 1
Let d = -164 + 200. Let y be 114/d + (-3)/18*1. Factor 0*b - 4/5*b**y - 16/5 + 12/5*b**2.
-4*(b - 2)**2*(b + 1)/5
Factor -18*o**3 - 46*o**2 + 2*o**5 - 116*o**4 + 114*o**4 - 12*o**3 - 20*o.
2*o*(o - 5)*(o + 1)**2*(o + 2)
Suppose -5*w - 23 = -4*p, -w - 3 = -3*p + 6. Suppose -f = 2*c - 6*c + 8, 3*f + 4*c - 8 = 0. Find q, given that -3/2*q**4 - q - 4*q**3 + f - 7/2*q**p = 0.
-1, -2/3, 0
Suppose -2*c - 16 = -10*x + 5*x, -3*x + 16 = 2*c. Find y, given that -25*y + 20*y**3 + 1 - 35*y**3 + 35*y**c + 4 = 0.
1/3, 1
Let b(s) = s**2 + s + 1. Let m(p) = -3*p**2 - 13*p - 8. Suppose 3*d - 3 = 3. Let a(i) = d*b(i) - m(i). Factor a(z).
5*(z + 1)*(z + 2)
Let u(n) be the first derivative of -6/5*n**5 - 12 + 0*n - 3/2*n**4 - 1/3*n**6 + 0*n**2 - 2/3*n**3. Factor u(t).
-2*t**2*(t + 1)**3
Let y(n) = 3*n**3 - 30*n**2 + 3*n + 12. Let l(x) = -2*x**2 + 1. Let b(a) = -12*l(a) + y(a). Factor b(t).
3*t*(t - 1)**2
Find m such that 9/2*m + 0 - 9/2*m**3 - 7/4*m**4 + 7/4*m**2 = 0.
-18/7, -1, 0, 1
Let i(g) = 2*g**2 + 12*g - 2. Let m(t) = t**2 + 1. Suppose 3*d = w - 3, -w = -6*w. Let q(h) = d*i(h) - 2*m(h). Factor q(l).
-4*l*(l + 3)
Suppose -4*z + 52 = -0*z. Determine q, given that 25*q**3 + 33*q - 10*q**4 - 45*q**2 + 3 + 2*q - z + 5*q**4 = 0.
1, 2
Let h = 6 + 0. Determine v so that 2*v**5 - h*v**2 - 15*v + 2*v**3 + 6*v**2 - 6*v**2 + 11*v + 6*v**4 = 0.
-2, -1, 0, 1
Suppose -2*c + 72 = c. Let w = -19 + c. Suppose 3*k + 3 - 11*k**3 - 3*k**4 + 4*k + w*k**3 - k = 0. Calculate k.
-1, 1
Let v be (2 + 2/2)*(12 - 3). Let x be (-5)/(-6) - (v/6 + -6). What is c in 0 + x*c**4 + 3*c**3 + 2/3*c**2 + 0*c = 0?
-1, -2/7, 0
Let t(l) be the second derivative of -l**5/230 - 13*l**4/69 - 25*l**3/69 + 24*l + 3. What is p in t(p) = 0?
-25, -1, 0
Let g be (37 - 38)/(-2*(-1)/4). Let o be g/(-8) + 406/232. Let 1/4*j**o + 0*j - 1/4 = 0. Calculate j.
-1, 1
Let i(y) be the first derivative of 5*y**6/7 - 132*y**5/35 + 68*y**3/7 - 15*y**2/7 - 72*y/7 - 573. Determine j so that i(j) = 0.
-1, -3/5, 1, 4
Let i = 664/999 - -2/999. Let 1/3*v**2 - i - 1/3*v = 0. What is v?
-1, 2
Let a(w) = -4*w**2 - 9*w - 13. Let q(x) = 4*x**2 + 8*x + 13. Let h(p) = -5*a(p) - 4*q(p). Let v(n) = -n**2 - n - 1. Let f(i) = -h(i) - v(i). Factor f(l).
-3*(l + 2)**2
Let a(v) be the first derivative of -v**4 + 11*v**3/3 + 2*v**2 - 11*v + 893. Factor a(t).
-(t - 1)*(t + 1)*(4*t - 11)
What is d in -34 - 6*d - 110 - 26*d**2 + 10*d**2 + 19*d**2 = 0?
-6, 8
Let x = -1494 - -1498. Factor 5/2*d**x + 0 + 0*d + 5/2*d**2 + 5*d**3.
5*d**2*(d + 1)**2/2
Factor -u**3 - 8*u**4 + 2271*u + 3*u**4 - 2251*u + 26*u**3 - 40*u**2.
-5*u*(u - 2)**2*(u - 1)
Solve -4/5*r**3 + 4/5*r + 4/5 - 4/5*r**2 = 0.
-1, 1
Suppose -5*f + 5*b = 25, 2*f + 0*b = -2*b + 6. Let t(y) = y**2 + y. Let w(c) = -25*c**4 + 5*c**3 + 14*c**2 + 2*c. Let m(u) = f*w(u) - 2*t(u). Factor m(p).
p*(p - 1)*(5*p + 2)**2
Let p(w) = -76*w**2 + 250*w - 239. Let u(f) = -35*f**2 + 125*f - 120. Let v(b) = -6*p(b) + 13*u(b). Factor v(z).
(z - 1)*(z + 126)
Let z(c) be the first derivative of -2/13*c + 2/39*c**3 - 1/26*c**4 + 19 + 1/13*c**2. What is t in z(t) = 0?
-1, 1
Let u(t) = -6*t**2 + 129*t + 969. Let x(b) = 8*b - b**2 + 194 - 4*b + 8*b + 14*b. Let y(q) = 2*u(q) - 11*x(q). Factor y(n).
-(n + 14)**2
Factor -6*t**3 + 11/4*t**4 + 15/4*t**2 - 1/2*t + 0.
t*(t - 1)**2*(11*t - 2)/4
Let k(g) be the first derivative of g**9/9072 - g**8/720 + g**7/168 - g**6/120 + 6*g**3 + 16. Let v(x) be the third derivative of k(x). Solve v(r) = 0.
0, 1, 3
Let y be (-19)/(-57) - 42/(-9). Let t(o) be the first derivative of 2/25*o**y - 2/5*o + 2/5*o**3 + 1/10*o**2 - 3 - 7/20*o**4. Factor t(k).
(k - 2)*(k - 1)**2*(2*k + 1)/5
Let v be (-54)/(-30) - (-4)/20. Factor 8 + 16*q**v + 4*q**3 + 16*q - 8 + 0.
4*q*(q + 2)**2
Suppose -3*w + 10*w = -21. Let o be ((-32)/(-20))/8 - w/10. Factor 1/2*q**3 + 0*q**2 - o*q + 0.
q*(q - 1)*(q + 1)/2
Let s(j) be the first derivative of 9*j**5 + 753*j**4/4 + 403*j**3 + 591*j**2/2 + 90*j + 845. Find y, given that s(y) = 0.
-15, -1, -2/5, -1/3
Let j = -35853/1568 - -741/32. Let d = j - 2/49. Find v such that 0 - 1/2*v**2 + 0*v**3 + 1/4*v**5 - d*v + 1/2*v**4 = 0.
-1, 0, 1
Factor -42/5 - 39/5*l + 3/5*l**2.
3*(l - 14)*(l + 1)/5
Let x be ((-1)/56)/((-195)/1365). Let t(u) be the first derivative of -x*u**2 + 0*u + 1/12*u**3 - 6. Factor t(d).
d*(d - 1)/4
Let m = -56 - -167/3. Let p = m + 5/3. Suppose p*t + 0 + 10/3*t**4 + 2/3*t**5 + 14/3*t**2 + 6*t**3 = 0. Calculate t.
-2, -1, 0
Let z(o) be the third derivative of -o**8/56 + o**7/15 + o**6/2 - 2*o**5/3 - 6*o**4 - 32*o**3/3 + 213*o**2 - 2. Find r such that z(r) = 0.
-2, -1, -2/3, 2, 4
Suppose 0 = 4*a - 1110*g + 1109*g - 15, -2*a = 4*g - 30. Determine l so that 0 + 4/9*l**2 + 0*l - 14/9*l**3 - 4/9*l**4 + 14/9*l**a = 0.
-1, 0, 2/7, 1
Let t(o) be the third derivative of 0*o**3 - 2*o**2 - 1/108*o**4 + 0*o + 0 + 1/270*o**5. Find l, given that t(l) = 0.
0, 1
What is c in 3*c**4 - 107*c + 200 + 10*c**3 - 42*c**2 - c**4 - 63*c + 0*c**4 = 0?
-5, 1, 4
Suppose -36*x + 30 = -21*x. Let n(r) be the first derivative of 1/2*r**x - 2 - r - 1/12*r**3. Factor n(s).
-(s - 2)**2/4
Suppose -4 = -2*d - j, -4*d + 3*d + 2 = 3*j. Factor -w**3 - 24*w - 17 + 4 - 3 - 9*w**d.
-(w + 1)*(w + 4)**2
Let i(b) be the third derivative of -2*b**5/5 + 5*b**4/6 - 7*b**3/3 + 9*b**2. Let o(g) = -5*g**2 + 4*g - 3. Let d(j) = -3*i(j) + 14*o(j). Solve d(k) = 0 for k.
0, 2
Let l(v) = -5*v**2 + 2. Let x(b) = b**3 + b**2 - b. Let z(f) = 2*l(f) + 6*x(f). Solve z(s) = 0 for s.
-1, 2/3, 1
Factor 100*w**2 + 6*w - 7*w**4 - 74*w - 24 - 42*w**2 + 5*w**3.
-(w - 2)**2*(w + 3)*(7*w + 2)
Let b(g) = 2*g**5 - 2*g**4 - 12*g**3 + 10*g**2 + 19*g. Let t(w) = -w**5 + w**4 + w**3 - w**2 - w. Let u(p) = 5*b(p) + 5*t(p). Find v, given that u(v) = 0.
-3, -1, 0, 2, 3
Let z(t) = t**2 - 5*t - 6. Let n be z(-3). Suppose 2*a - n = -7*a. Factor -2/7*v**a + 0*v + 0.
-2*v**2/7
Let b(j) = 12*j**3 - 144*j**2 + 44*j + 11. Let s(q) = -q**3 + 9*q**2 - 1. Let z(t) = -2*b(t) - 22*s(t). Find d, given that z(d) = 0.
0, 1, 44
Let i(a) be the first derivative of -7*a**4/6 - 2*a**3 - 9*a**2/7 - 6*a + 10. Let p(w) be the first derivative of i(w). Factor p(g).
-2*(7*g + 3)**2/7
Let q(b) be the second derivative of -b**5/140 + 13*b**4/84 - 8*b**3/7 + 18*b**2/7 + 10*b. Determine n so that q(n) = 0.
1, 6
Factor -2/3*v**3 - 6*v - 44/3 + 8*v**2.
-2*(v - 11)*(v - 2)*(v + 1)/3
Factor 180*j**3 - 9*j**4 + 8*j**4 + 3*j**4 + 0*j**4 + 176*j**2 + 2*j**4.
4*j**2*(j + 1)*(j + 44)
Suppose 0 = 3*z - 2*z. Suppose 0*a + 2*a = z, 4*x = -5*a + 64. Factor -17*u**3 - 4*u**2 - 4*u**4 + x*u**3 + 9*u**3.
-4*u**2*(u - 1)**2
Let s = 113/178 - 12/89. Solve -s + 1/3*x + 1/6*x**2 = 0.
-3, 1
Let h(a) = -a + 5. Let s be h(-5). Let p = s + 18. Suppose 8*t**3 + 2*t**3 + p*t**4 - 14*t**3 - 8*t**2 - 16*t**3 = 0. What is t?
-2/7, 0, 1
Let p(r) be the third derivative of 2/7*r**3 + 0 + 34*r**2 + 2/35*r**5 + 0*r + 5/28*r**4 + 1/140*r**6. Factor p(o).
6*(o + 1)**2*(o + 2)/7
Factor 1/7*g**4 + 11/7*g**3 + 0 - 36/7*g + 24/7*g**2.
g*(g - 1)*(g + 6)**2/7
Factor -63*o**2 - 49*o**2 - 80*o + 176 + 20*o**2 - 4*o**3.
-4*(o - 1)*(o + 2)*(o + 22)
Find d such that 1/3*d**3 + 3869893/3 + 24649*d + 157*d**2 = 0.
-157
Let g(t) be the second derivative of -t**4/6 + 17*t**3/3 - 4*t - 12. Factor g(d).
-2*d*(d - 17)
Let h be 14/259 + 2400/4884. Solve 32/11*v + 8/11 + 42/11*v**5 - h*v**2 - 2/11*v**4 - 74/11*v**3 = 0 for v.
-1, -2/3, -2/7, 1
Suppose -5*k = -0*k - 4*l - 35, 3*k + 11 = -4*l. Solve 3*u**4 - 501*u**3 - 6*u**4 + 507*u**k - 3*u**2 = 0.
0, 1
Suppose -7*h - 19 + 1 - 6*h**2 - h**2 + 9*h**2 - h**2 = 0. What is h?
-2, 9
Factor 72 + 5*c**2 + c**3 - 23 + c - 27 - 27 - 2*c**3.
-(c - 5)*(c - 1)*(c + 1)
Let s(