*q + 0 - 2/7*k**4 + 4/7*k.
-2*k*(k - 1)*(k + 1)*(k + 2)/7
Suppose -5*v + 5*f + 30 = 0, -3*f - 2 = -19*v + 24*v. Factor 4/5*d**v - 36/5 - 32/5*d.
4*(d - 9)*(d + 1)/5
Let r(y) be the second derivative of y**7/70 - y**6/10 + 3*y**5/20 + y**4/4 - 3*y**3/5 + y + 180. Let r(u) = 0. Calculate u.
-1, 0, 1, 2, 3
Let g(o) = -16*o**2 - 14*o. Let q(r) = 14*r**2 + 14*r + 1. Let a(p) = -5*g(p) - 6*q(p). Determine m so that a(m) = 0.
-3, -1/2
Let u(p) = 17*p - 63. Let s be u(4). Let c(o) be the third derivative of 0*o - 1/360*o**6 + 0*o**s + 0*o**3 + 0*o**4 + 0 - 3*o**2. Find z, given that c(z) = 0.
0
Suppose -6 = -3*r - 5*z, r + 4*r - 2*z - 10 = 0. Suppose 12 = 3*v - v. Factor q**2 + v*q**r + 3*q**2 + 16*q + 2*q**3 + 8.
2*(q + 1)*(q + 2)**2
Suppose -2*z = 15 + 5. Let h(i) = i**3 + 11*i**2 + 8*i - 11. Let a be h(z). Factor 0*s**3 + a*s**3 - s**2 - s**2.
s**2*(9*s - 2)
Let i be ((42/(-18))/7)/((-99)/54). Find r, given that -i*r**3 + 2/11*r**2 + 0 + 4/11*r = 0.
-1, 0, 2
Let h = -8/61 - -117/427. Factor h + 0*n - 1/7*n**2.
-(n - 1)*(n + 1)/7
Let k(o) = -2*o**2 + o - 1. Let b(j) = -9*j**2 + 62*j - 24. Let r(w) = 5*b(w) - 40*k(w). Solve r(t) = 0.
-8, 2/7
Let r(a) be the second derivative of -3/2*a**2 - 1/10*a**6 + 0*a**5 - 19*a + 0*a**3 + 0 + 1/2*a**4. Factor r(q).
-3*(q - 1)**2*(q + 1)**2
Let v = 62 - 58. Factor -2*w**2 + 6 + 3*w**3 - 9 - w**v + 3.
-w**2*(w - 2)*(w - 1)
Suppose 2*n - 3*z - 7 - 2 = 0, 2*z = 2*n - 10. Suppose -3*j**5 + n*j**3 + 3 - j + 24*j**2 - 30*j**2 - 2*j + 3*j**4 = 0. What is j?
-1, 1
Let c(v) be the first derivative of v**8/840 - 4*v**2 + 14. Let j(s) be the second derivative of c(s). What is r in j(r) = 0?
0
Let j be (-231)/396*(-27)/42. Factor 0 + 3/4*c + j*c**2.
3*c*(c + 2)/8
Factor 2/11*b**3 + 52/11 - 28/11*b**2 + 2*b.
2*(b - 13)*(b - 2)*(b + 1)/11
Suppose 5*u = 4*a + 48, -3*a - 3*u - 11 = 25. Let i be 1/(-2)*(3 - a/(-4)). What is x in -3/4*x**4 - 6*x**3 - 27/2*x**2 + 81/4 + i*x = 0?
-3, 1
Let u = 36 - 23. Solve -10 + 2*g + u + 6*g + g + 3*g**3 + 9*g**2 = 0.
-1
Let o(u) be the second derivative of -u**9/1260 + u**8/840 + u**7/90 + u**6/90 + 3*u**4/2 - 3*u. Let y(n) be the third derivative of o(n). Solve y(z) = 0 for z.
-1, -1/3, 0, 2
Let a(z) be the third derivative of -z**5/90 + z**4/9 + 4*z**3/3 - 78*z**2. Factor a(r).
-2*(r - 6)*(r + 2)/3
Let s = -713 - -1008. Let r = -4423/15 + s. Factor -2/15 + 4/15*k - r*k**2.
-2*(k - 1)**2/15
Let j(w) be the third derivative of w**7/70 - 33*w**6/160 + 13*w**5/20 + 69*w**4/32 - 5*w**3/2 + w**2 + 79. Suppose j(f) = 0. Calculate f.
-1, 1/4, 4, 5
Let o(j) = -9*j**3 - 2*j**2 + 11*j. Let a = 100 + -89. Let n(q) = 3*q**3 + q**2 - 4*q. Let b(p) = a*n(p) + 4*o(p). Find s, given that b(s) = 0.
0, 1
Suppose 4*v - 5*s - 3 = -4*s, -10 = -2*s. Let f(m) = -m**3 + 9*m**2 + 11*m - 7. Let j be f(10). Factor r**v + 2*r - r**2 + 3*r**j - 5*r**3.
-2*r*(r - 1)*(r + 1)
Let n be 85/180*-3 + 120/45. Factor 5 + 5*y + n*y**2.
5*(y + 2)**2/4
Let t(o) be the first derivative of 1/5*o**5 - 4*o - 3 + 1/6*o**3 - 5/12*o**4 + 0*o**2. Let m(q) be the first derivative of t(q). Suppose m(z) = 0. Calculate z.
0, 1/4, 1
Let j(k) = -2*k**2 - 20*k + 27. Let q be j(-11). Suppose 3*g + q*u = 25 + 4, -4*u + 16 = 0. Factor 6/5*i + 6/5*i**2 + 2/5 + 2/5*i**g.
2*(i + 1)**3/5
Let t(p) be the second derivative of -1/3*p**5 - 2 - 4/3*p**2 - 2/45*p**6 - 14/9*p**3 - p**4 + 9*p. Factor t(d).
-4*(d + 1)**3*(d + 2)/3
Let l(j) = -j**4 - j**3 + j**2. Let q(r) = -r**5 - 11*r**4 - 26*r**3 - 14*r**2. Let p(g) = -4*l(g) + 2*q(g). Find x such that p(x) = 0.
-4, -1, 0
Factor 1/6*o**4 + 0 - 5/2*o**2 + 2*o**3 - 13/3*o.
o*(o - 2)*(o + 1)*(o + 13)/6
Let r be (-75)/240*42/(-15). Let w(q) be the first derivative of q - r*q**2 + 1/6*q**3 + 3 + 1/16*q**4. Factor w(c).
(c - 1)**2*(c + 4)/4
Let g(p) be the second derivative of 2*p**6/15 + 9*p**5/25 - 7*p**4/15 - 6*p**3/5 + 4*p**2/5 + 718*p. Let g(u) = 0. Calculate u.
-2, -1, 1/5, 1
Let s = -822 + 824. Let w(m) be the second derivative of -1/12*m**4 + 0 + 4*m - 1/6*m**3 + 0*m**s. Factor w(h).
-h*(h + 1)
Let -10*m**2 + 14*m**2 - 3*m**2 - 10*m = 0. What is m?
0, 10
Let y(c) be the first derivative of c**4/26 - 28*c**3/39 + 45*c**2/13 - 202. Determine k so that y(k) = 0.
0, 5, 9
Let w(t) be the first derivative of 7*t**4/2 - 32*t**3/3 - 17*t**2 + 12*t - 8. Determine r so that w(r) = 0.
-1, 2/7, 3
Let w(v) be the third derivative of v**8/364 + 19*v**7/1365 + 4*v**6/195 + 2*v**5/195 - 384*v**2. Suppose w(a) = 0. Calculate a.
-2, -2/3, -1/2, 0
Let l be -4 + 34/2 + -3. Solve 144*k**3 - l*k - 124*k**4 - 5*k**2 - 19*k**3 + 64*k**4 = 0.
-1/4, 0, 1/3, 2
Factor 1/7*d**3 + 0 + 3/7*d - 4/7*d**2.
d*(d - 3)*(d - 1)/7
Let t(f) be the second derivative of -3*f**5/50 - 31*f**4/60 - 22*f**3/15 - 19*f**2/10 + 113*f. Factor t(n).
-(n + 1)**2*(6*n + 19)/5
Let h(v) be the second derivative of 3*v**5/20 + v**4 + 5*v**3/2 + 3*v**2 - 36*v + 2. Suppose h(m) = 0. What is m?
-2, -1
Let 5 - 5*y**4 + 6*y**3 + 0*y + 2*y - 24*y + 6*y**4 + 10 = 0. What is y?
-5, -3, 1
Let i(q) be the second derivative of q**8/8400 - q**6/600 - q**5/300 + 7*q**3/3 + 4*q. Let u(h) be the second derivative of i(h). Solve u(c) = 0 for c.
-1, 0, 2
Let t be -15 + 12 - 4 - 7/(-1). Factor 3 - 3/4*p**2 + t*p.
-3*(p - 2)*(p + 2)/4
Let o(u) be the second derivative of -u**5/10 - 28*u**4/9 + 236*u**3/27 - 80*u**2/9 + 22*u. Let o(x) = 0. Calculate x.
-20, 2/3
Let q = -125 - -98. Let x(a) = -6*a**2 + 48*a - 69. Let l(v) = v**2 - 7*v + 10. Let t(f) = q*l(f) - 4*x(f). Solve t(i) = 0 for i.
-2, 1
Find u such that 15*u**2 + 96 + 12*u**2 - 31*u**2 + 40*u = 0.
-2, 12
Let f(o) be the first derivative of 2*o**3/3 - 26*o**2 + 50*o + 82. Factor f(j).
2*(j - 25)*(j - 1)
Solve -104/3*b - 23/3*b**2 - 36 + 1/3*b**3 = 0 for b.
-2, 27
Let l = 9620 + -19239/2. Let j = -4 + 6. Suppose -2*q + 2 + l*q**j = 0. What is q?
2
Let f(m) be the second derivative of 1/96*m**4 - 3*m - 1/48*m**3 - 1/8*m**2 + 0. Factor f(b).
(b - 2)*(b + 1)/8
Suppose -3*c = -0*c - 6, 4*l - 54 = c. Determine z, given that -6 + 12 - 2 - 2*z**2 + l = 0.
-3, 3
Let y(c) be the third derivative of c**7/420 - 7*c**6/240 - c**5/5 + 15*c**4/4 - c**2 + 47*c. Factor y(u).
u*(u - 6)**2*(u + 5)/2
Suppose -6*u - 2 = -2. Suppose -5*c + 13 = 2*o, u*c + 14 = 4*o - 2*c. Determine p, given that -p**3 + p**4 - o*p**2 - 7/2*p + 1/2*p**5 - 1 = 0.
-1, 2
Let w(d) be the third derivative of -d**8/10080 - d**7/720 - d**6/240 + d**5/5 - 4*d**2. Let o(y) be the third derivative of w(y). Find m, given that o(m) = 0.
-3, -1/2
Let h(v) be the second derivative of v**5/20 - 2*v**4/3 + 10*v**3/3 - 8*v**2 - 141*v. Solve h(q) = 0 for q.
2, 4
Suppose -10*u = 13 - 33. Factor 1 + 1/4*d**u + 5/4*d.
(d + 1)*(d + 4)/4
Suppose 8*h - 46 - 18 = 0. Let n(z) be the first derivative of z + 0*z**2 - 1/3*z**3 + h. Determine u so that n(u) = 0.
-1, 1
Let g(c) = 4*c**2 - 4*c + 18. Let u(b) = 3*b**2 - 2*b + 19. Let s(a) = -5*g(a) + 6*u(a). Factor s(l).
-2*(l - 6)*(l + 2)
Suppose -p - 26 = -5*d, 2*d - 2 = 2*p + 10. Suppose -6*a + 7 = -d. Factor -3*x**3 - 3*x**5 + 4*x**3 + 2*x**4 + a*x**5 - 2*x**3.
-x**3*(x - 1)**2
Suppose -2*h + 61 = 3*x - 55, -5*h + 256 = -x. Factor -48*z**3 + h*z**2 + 28*z**2 + 4 - 27*z - 9*z.
-4*(z - 1)*(2*z - 1)*(6*z - 1)
Let x(j) be the second derivative of 35/6*j**3 - 15*j**2 - 5/12*j**4 + 27*j + 0. Factor x(g).
-5*(g - 6)*(g - 1)
Let m(d) be the third derivative of 0*d - 1/5040*d**7 + 0*d**6 + 0*d**3 - 1/12*d**4 + 0 + 0*d**5 - d**2. Let v(b) be the second derivative of m(b). Factor v(x).
-x**2/2
Determine s, given that 0*s - 1/2*s**4 - 9/2*s**2 + 5*s**3 + 0 = 0.
0, 1, 9
Let z(t) = -5*t**2 - 22*t + 8. Let l(q) = -q**2 + q + 1. Let v(k) = -8*l(k) + z(k). Solve v(y) = 0 for y.
0, 10
Let t be 4/((3 + -1)*-31). Let j = 283/62 + t. Factor -j*v**4 + 0 - 6*v**3 + 3*v + 3/2*v**2.
-3*v*(v + 1)**2*(3*v - 2)/2
Let x(m) be the second derivative of -m**5/70 - m**4/7 + m**3/3 - 245*m. Factor x(p).
-2*p*(p - 1)*(p + 7)/7
Let t be (-1 + -3)/((-1980)/66). Suppose -2/15*u**2 + 0*u - 4/15*u**3 - t*u**4 + 0 = 0. Calculate u.
-1, 0
Factor -1/3*b**2 + 0*b + 16/3.
-(b - 4)*(b + 4)/3
Let n(s) = -s**2 + s + 2. Let r(k) = 10*k**2 + 34*k - 12. Let d(t) = -6*n(t) - r(t). Let d(u) = 0. Calculate u.
-10, 0
Let o(i) be the third derivative of i**6/360 - 8*i**5/45 - 67*i**4/72 - 17*i**3/9