j + 1)*(j + 2)
Let s(b) = 15*b + 42 + 27 - 12*b. Let w be s(-22). Solve 0*v**2 + 1/3*v**w + 2/3 - v = 0 for v.
-2, 1
Factor -2*y**2 + 25/7*y - 12/7 + 1/7*y**3.
(y - 12)*(y - 1)**2/7
Let x(i) be the second derivative of 3*i**7/1540 + i**6/660 - 4*i**3/3 - 5*i. Let d(h) be the second derivative of x(h). Let d(w) = 0. Calculate w.
-1/3, 0
Let c(s) be the second derivative of -s**6/15 + s**5/5 - s**4/6 - s - 45. Solve c(k) = 0 for k.
0, 1
Let o(z) = 6*z**3 + 64*z**2 - 62*z. Let g(q) = 2*q**3 + 22*q**2 - 21*q. Let y(b) = -8*g(b) + 3*o(b). Factor y(m).
2*m*(m - 1)*(m + 9)
Let t(f) be the second derivative of -f**8/11200 - f**7/4200 - 5*f**4/4 - 17*f. Let b(m) be the third derivative of t(m). Factor b(i).
-3*i**2*(i + 1)/5
Let j = 190 - 185. Let q(g) be the first derivative of 8/27*g**3 - 1/3*g**4 + 5 - 1/9*g**2 - 1/27*g**6 + 0*g + 8/45*g**j. Factor q(u).
-2*u*(u - 1)**4/9
Let w(q) be the first derivative of -5*q**6/6 + 16*q**5 - 315*q**4/4 - 80*q**3/3 + 160*q**2 + 34. Determine j so that w(j) = 0.
-1, 0, 1, 8
Let g = 2522/21 + -120. Let o(w) be the first derivative of -2 + 2/7*w**2 - 2/7*w - g*w**3. Suppose o(m) = 0. What is m?
1
Suppose 4*z - 5*l = -0*z + 176, -3*z - 2*l + 109 = 0. Let o be (9/(-6))/(z/(-52)). Factor 2/5*u - 6/5*u**o - 2/5*u**4 + 0 + 6/5*u**3.
-2*u*(u - 1)**3/5
Let k = -104/79 - -179326/237. Let v = -744 + k. Determine u so that v*u**4 - 4/3*u - 10/3*u**5 + 0 + 22/3*u**2 - 14*u**3 = 0.
0, 2/5, 1
Let m be 0/1 - (-3)/(12/(-8)). Let l be ((-16)/14)/m*28/24. Find x, given that 0*x + 0 - 2/3*x**2 + 0*x**3 + l*x**4 = 0.
-1, 0, 1
Let b = 2647/7 + -377. Factor 4*f - 4/7*f**4 - 36/7*f**2 + 20/7*f**3 - b.
-4*(f - 2)*(f - 1)**3/7
Let j be 3/(-6) + 39/6. Let h be 12/(-21)*(-21)/j. Suppose 6*l**h + 6*l - 9*l - 2*l**3 + 3*l = 0. What is l?
0, 3
Let n(a) be the first derivative of 2*a**3/3 - 6*a**2 + 16*a + 62. Factor n(m).
2*(m - 4)*(m - 2)
Let c(w) = 11*w**4 - 7*w**3 - 29*w**2 + 13*w. Let s(h) = -h**4 + h**3 + h**2 - h. Let o(d) = -c(d) - 5*s(d). Determine r so that o(r) = 0.
-2, 0, 1/3, 2
Let z(s) be the first derivative of -s**7/231 + 2*s**6/165 - 14*s + 8. Let x(n) be the first derivative of z(n). Factor x(m).
-2*m**4*(m - 2)/11
Let k be ((-96)/80 - 99/(-75))/(1/5). Let g be 4/14 + 44/140. Factor g*j**4 - 3/5*j**2 + 0 + k*j - 3/5*j**3.
3*j*(j - 1)**2*(j + 1)/5
Suppose -13 = -5*z - 3. Let q = -4 - -7. Find l such that 3*l**z + q*l**3 + l - l = 0.
-1, 0
Factor 0 + 96/7*d - 2/7*d**3 - 94/7*d**2.
-2*d*(d - 1)*(d + 48)/7
Let x(k) be the third derivative of k**7/15120 + k**6/1440 - k**5/180 + k**4/4 + 13*k**2. Let f(p) be the second derivative of x(p). What is y in f(y) = 0?
-4, 1
Suppose 0*c**2 + 9/4 + 15/2*c - 15/2*c**3 - 9/4*c**4 = 0. What is c?
-3, -1, -1/3, 1
Let p(w) be the first derivative of -4*w**3/3 - 16*w**2 - 48*w + 173. Suppose p(a) = 0. Calculate a.
-6, -2
Let l(g) be the first derivative of -70*g**6/3 + 4744*g**5/5 - 9975*g**4 - 5168*g**3/3 + 2312*g**2 + 158. Find i, given that l(i) = 0.
-2/5, 0, 2/7, 17
Let x = -11164 - -1015972/91. Let v = 4/91 + x. Factor 10/7*h**4 + v*h + 0 + 18/7*h**2 + 24/7*h**3.
2*h*(h + 1)**2*(5*h + 2)/7
Let s(a) be the second derivative of a**8/1120 - a**7/140 + a**6/48 - a**5/40 + 13*a**3/6 - 6*a. Let n(i) be the second derivative of s(i). Factor n(k).
3*k*(k - 2)*(k - 1)**2/2
Let p(s) be the second derivative of s**5/50 + 2*s**4/15 - 4*s**3/15 - 16*s**2/5 - 2*s - 177. Let p(b) = 0. What is b?
-4, -2, 2
Suppose -4*t - 2*h = -22, -t - 5 = -h - 3. Solve -6 + t - 8 + 12*c - 2*c**2 - 7 = 0 for c.
3
Let l(j) = 4*j - 11. Let s(n) = -n. Let i(r) = l(r) + 5*s(r). Let w be i(-15). Factor 26*k**4 - 22*k**w - 3*k**3 - 5*k**3 + 4*k**5.
4*k**3*(k - 1)*(k + 2)
Let b(o) = 2*o - 5. Suppose -15 = -5*h + 5. Let f be b(h). Factor j**5 + 2*j**5 - 9*j**2 + 3*j**4 - 8*j**2 + 14*j**2 - 3*j**f.
3*j**2*(j - 1)*(j + 1)**2
Factor 7/5*u**3 + 17/5*u**2 + 1/5*u**4 + 6/5 + 17/5*u.
(u + 1)**2*(u + 2)*(u + 3)/5
Let z be ((-9)/(-8))/(6/8). Let m(h) = 2*h**2 - 7*h - 15. Let g be m(5). Find f such that g - z*f**3 + 0*f + f**2 + 1/2*f**4 = 0.
0, 1, 2
Suppose -8*v - 3*v + 6*v = 0. Factor -14*w**3 + 13*w**3 - w + 2*w**2 + v*w.
-w*(w - 1)**2
Let s(u) = 12*u**2 + 14*u. Let x be (0 + (-3 - -8))/(-1). Let c(w) = 24*w**2 + 28*w - 1. Let p(t) = x*s(t) + 2*c(t). Factor p(q).
-2*(q + 1)*(6*q + 1)
Let z(n) = -2*n - 12. Let p be z(-14). Suppose 0 = p*c - 8*c. Suppose 0*l + 0*l**2 + 0*l**4 + c*l**3 + 0 + 2/7*l**5 = 0. What is l?
0
Let a(u) be the third derivative of -u**8/336 - 37*u**7/210 - 32*u**6/15 - 182*u**5/15 - 118*u**4/3 - 232*u**3/3 + 294*u**2. Factor a(s).
-(s + 2)**4*(s + 29)
Let z = 2178 + -2178. Factor z + 1/3*u**2 + 0*u.
u**2/3
Let x be (-1 - 2) + 7 - 1. Let o = 10 - x. Factor w**2 - 3*w**2 - o*w - w**2 - 27 - 11*w.
-3*(w + 3)**2
Suppose -1 + 5 = 4*j, -5*t + 2*j + 13 = 0. Let z(u) be the first derivative of 3*u**2 - 3*u**t + 3 + 0*u + 3/4*u**4. Factor z(o).
3*o*(o - 2)*(o - 1)
What is v in 2890*v**4 + 63*v**2 - 5779*v**4 - 312*v + 2886*v**4 + 240 + 12*v**3 = 0?
-5, 1, 4
Let m = -7 + 12. Suppose -d - 21 = -m*r, d - r = r - 6. Factor 2*h**3 - h**4 - 4*h**3 + 0*h**d + 1 + 2*h.
-(h - 1)*(h + 1)**3
Let w(g) = 6*g**3 - 3*g + 6. Let k(d) = -7*d**3 + d - 6. Let s(a) = -3*k(a) - 4*w(a). Factor s(t).
-3*(t - 1)**2*(t + 2)
Let m = -98/25 - -221/50. Suppose -1 = -4*a + 7. Suppose m + 2*h**a + 2*h = 0. What is h?
-1/2
Let 15*n**2 + 4*n**2 - 14*n**2 + 70*n + 60*n = 0. Calculate n.
-26, 0
Let x(o) be the first derivative of -o**7/105 + o**6/30 - o**5/30 + o**2 + 3. Let s(w) be the second derivative of x(w). Factor s(t).
-2*t**2*(t - 1)**2
Let x be (-114)/36 - (-1)/6. Let h be 19*(27/(-15) + 2) + x. Factor -h*b - 1/5*b**2 - 4/5.
-(b + 2)**2/5
Suppose 59*s**2 - 148*s**3 - 144*s**3 - 17*s**4 + 4*s**5 + 8 - 46*s + 284*s**3 = 0. Calculate s.
-2, 1/4, 1, 4
Let d(f) = f**4 + 36*f**3 - 113*f**2 + 103*f. Let l(a) = 2*a**4 + 90*a**3 - 282*a**2 + 258*a. Let i(t) = -12*d(t) + 5*l(t). Factor i(y).
-2*y*(y - 3)**3
Let x = 171 + -170. Suppose 3*w + 10 - x = 5*o, -19 = -5*w - 3*o. Determine f so that -1/5*f**3 + 0 + 2/5*f + 1/5*f**w = 0.
-1, 0, 2
Factor 39*d**2 + 12*d**2 - 42*d**3 + 20*d - 3*d**4 + 70*d.
-3*d*(d - 2)*(d + 1)*(d + 15)
Factor -352/3*g**3 + 512/3 - 512/3*g - 62/3*g**4 - 832/3*g**2 - 4/3*g**5.
-2*(g + 4)**4*(2*g - 1)/3
Let b(c) = 12*c**4 + 18*c**3 - 220*c**2 + 218*c + 81. Let z(g) = 2*g**4 - 2*g - 1. Let x(p) = b(p) + z(p). Factor x(d).
2*(d - 2)**2*(d + 5)*(7*d + 2)
Let d(t) be the second derivative of t**5/170 - t**4/51 - t**3/51 + 2*t**2/17 + 5*t - 5. Factor d(r).
2*(r - 2)*(r - 1)*(r + 1)/17
Let j = -965 - -967. Let s(h) be the second derivative of 1/3*h**3 + 6*h - 1/6*h**4 + 0*h**j + 0. Factor s(l).
-2*l*(l - 1)
Let i be (-2)/(-80)*632 + 4/10. Let -48/5 - 672/5*c**2 - 81*c**4 + 288/5*c + 756/5*c**3 + i*c**5 = 0. Calculate c.
2/3, 1, 2
Let p(h) be the third derivative of -h**7/504 - h**6/18 - 2*h**5/3 + h**4/8 + 6*h**2. Let l(k) be the second derivative of p(k). Factor l(u).
-5*(u + 4)**2
Let k(a) = -4*a - 1. Let v(z) = -7*z - 2. Let y(c) = 5*k(c) - 3*v(c). Let l = 38 + -48. Let t(b) = -4*b**2 - 14*b - 2. Let g(u) = l*y(u) - t(u). Factor g(s).
4*(s - 1)*(s + 2)
Let a(i) be the first derivative of -i**6/6 + 2*i**5/5 + 3*i**4/4 - 4*i**3/3 - 2*i**2 + 34. Factor a(q).
-q*(q - 2)**2*(q + 1)**2
Let r(q) be the first derivative of -q**5/60 + q**4/4 - 3*q**3/2 - 23*q**2/2 - 22. Let o(x) be the second derivative of r(x). Solve o(f) = 0.
3
Let x(q) = -q**3 + 4*q + 3. Let k be x(-2). Factor 4*z**4 + z**k - 5*z**2 + 2*z**2 - 5*z**3 - 5*z**2.
4*z**2*(z - 2)*(z + 1)
Let y = -790 + 10275/13. Let v = -2/39 + y. Factor v + 0*r - 1/3*r**2.
-(r - 1)*(r + 1)/3
Suppose 0 = 7*q - 5*q - 12. Suppose -2*u = u - q. Factor 2*t - 7*t**u + 33 - 3*t**4 - 33 + 8*t**3.
-t*(t - 1)**2*(3*t - 2)
Let l = 28 + -26. Factor 5 - z**l - 5 + 6 + 3*z**2 - 8*z.
2*(z - 3)*(z - 1)
Let x be (3 + 0)/((-21)/(-35)). Let o be -2 - (780/x)/(-3). Factor 0 + o*d**2 - 12*d - 88/3*d**3 + 14/3*d**4.
2*d*(d - 3)**2*(7*d - 2)/3
Let s = -19 + 22. Let a(x) be the second derivative of -x**2 + 1/3*x**s - 1/24*x**4 + 0 - 5*x. Factor a(z).
-(z - 2)**2/2
Let o(z) be the first derivative of 4/21*z**3 - 6/7*z**2 - 16/7*z - 9. Solve o(n) = 0.
-1, 4
Let m = -112 + 106. Let w be m*2/14*(-14)/42. Find c, given that -2/7*