.
-2, -1, -1/3, 1
Factor 12/5*x**2 - 24/5*x**3 + 3*x**4 + 0*x + 0 - 3/5*x**5.
-3*x**2*(x - 2)**2*(x - 1)/5
Suppose 2*p + 37 = 4*a + 11, 3*a - 17 = p. Let m = -5 - p. Factor 2/7*y**4 - 2/7*y**2 + 0*y**3 + m + 0*y.
2*y**2*(y - 1)*(y + 1)/7
Let s(k) be the second derivative of -k**4/42 + 38*k**3/21 - 285*k. Factor s(r).
-2*r*(r - 38)/7
Suppose -a = m, 2 + 6 = -4*a. Let h(r) be the third derivative of 0*r**3 + 1/45*r**5 - 1/6*r**4 + 0 + 4*r**m + 0*r. Factor h(y).
4*y*(y - 3)/3
Suppose -512/3*z + 338/3*z**3 + 40/3 + 1586/3*z**2 = 0. What is z?
-5, 2/13
Let -108/11 + 30/11*g**4 + 78/11*g**2 - 282/11*g**3 + 282/11*g = 0. What is g?
-1, 2/5, 1, 9
Let a(s) be the first derivative of 1/16*s**4 - 1/4*s**3 + 0*s**2 + 0*s + 10. Factor a(v).
v**2*(v - 3)/4
Let a(t) be the second derivative of 20*t + 0 + 1/36*t**4 + 0*t**2 + 0*t**3. Factor a(b).
b**2/3
Suppose -2*i + 2*b = -20, -5 = b - 6. Let x be (i/(-22))/(1/(-6)). Let 1/4*k**5 + 1/4*k**2 - 1/4*k**4 + 0 + 0*k - 1/4*k**x = 0. What is k?
-1, 0, 1
Let j(s) = -5*s - 35. Let i be j(-8). Let n(u) be the second derivative of -3/2*u**3 + 0 + 5/16*u**i - 5/8*u**4 - 4*u - u**2. Factor n(l).
(l - 2)*(5*l + 2)**2/4
Suppose 62*l = -16*l. Let 3/2*x**2 + l*x + 3/4*x**3 + 0 = 0. Calculate x.
-2, 0
Let n(v) be the second derivative of 3*v**5/100 - 9*v**4/20 + 3*v**3/2 - 21*v**2/10 - 112*v. Factor n(r).
3*(r - 7)*(r - 1)**2/5
Let z(b) be the second derivative of -b**8/1260 + b**7/3780 + 13*b**3/2 + 5*b - 1. Let h(s) be the second derivative of z(s). Solve h(o) = 0 for o.
0, 1/6
Let c(x) = -7*x**4 + 20*x**3 - 11*x**2 + 11*x - 13. Let h(a) = -a**4 + 3*a**3 - 2*a**2 + 2*a - 2. Let z(g) = -6*c(g) + 39*h(g). Factor z(b).
3*b*(b - 2)*(b - 1)*(b + 2)
Let g(q) be the second derivative of -q**6/3060 - q**5/1020 - 5*q**3/6 - 21*q. Let d(o) be the second derivative of g(o). Factor d(n).
-2*n*(n + 1)/17
Solve -3*y**3 + 46*y**2 - 23*y**2 + 33*y - 11*y**2 + 18 = 0 for y.
-1, 6
Let r(n) be the third derivative of n**7/735 - 11*n**6/210 + 47*n**5/70 - 55*n**4/21 + 100*n**3/21 + n**2 + 29. Factor r(t).
2*(t - 10)**2*(t - 1)**2/7
Let z(c) be the third derivative of -3*c**8/112 - 41*c**7/70 - 59*c**6/40 + 17*c**5/20 + 31*c**4/4 + 12*c**3 + c**2 - 14*c. Solve z(m) = 0 for m.
-12, -1, -2/3, 1
Let o(d) be the third derivative of d**8/588 + 2*d**7/735 - 49*d**2. Factor o(m).
4*m**4*(m + 1)/7
Let i(y) be the first derivative of y**6/10 + 3*y**5/5 + y**4/2 - 2*y**3 - 9*y**2/2 - 20*y + 14. Let x(a) be the first derivative of i(a). Factor x(w).
3*(w - 1)*(w + 1)**2*(w + 3)
Find z such that 150/11*z - 2/11*z**5 + 24/11*z**4 + 40/11*z**2 - 84/11*z**3 + 0 = 0.
-1, 0, 3, 5
Let j = -10209 - -10212. Factor -2/9*s**j + 4/9*s**2 + 0 - 2/9*s.
-2*s*(s - 1)**2/9
Factor 11/5*c**3 + 49/5*c - 1/5*c**4 - 39/5*c**2 - 4.
-(c - 5)*(c - 4)*(c - 1)**2/5
Suppose -4*x = i - 14, -777*i + 781*i = -x + 11. Factor 3/7*k**3 + 1/7*k + 0 - 4/7*k**i.
k*(k - 1)*(3*k - 1)/7
Factor -672/5*s + 784/5 + 88/5*s**2 + 24/5*s**3 + 1/5*s**4.
(s - 2)**2*(s + 14)**2/5
Let v(r) be the first derivative of -5*r - 9*r**2 - 1/6*r**4 - 2*r**3 - 3. Let t(m) be the first derivative of v(m). What is i in t(i) = 0?
-3
What is r in 4*r + 14*r + 125*r**3 - 21*r**2 - 122*r**3 = 0?
0, 1, 6
Let u be (-2)/(-9) - 100/(-36). Let f be u/(-2) + (-13)/(-2). Determine y, given that 0*y + 100/7*y**f - 150/7*y**4 - 8/7 - 16/7*y**3 + 74/7*y**2 = 0.
-1/2, -2/5, 2/5, 1
Let u = 877 - 8777/10. Let g = u - -41/30. Factor 0 - 2/3*h + g*h**3 - 2/3*h**4 + 2/3*h**2.
-2*h*(h - 1)**2*(h + 1)/3
Factor 6/5*y + 2/5*y**2 - 16.
2*(y - 5)*(y + 8)/5
Let p(y) be the first derivative of 3*y**5/10 + 9*y**4/8 + 3*y**3/2 + 3*y**2/4 - 8. Factor p(u).
3*u*(u + 1)**3/2
Let y = 9385/6 - 1564. Let -1/2 - y*b**2 - 2/3*b = 0. What is b?
-3, -1
Let i = 3068 - 3065. Solve 12/5 + 12/5*q - 9/5*q**2 - 12/5*q**i - 3/5*q**4 = 0.
-2, -1, 1
Let b be 3 + (4 - (4 - -1)). Factor 1 - 11*d**b + 10*d**3 + 6*d**2 - 1 - 10*d + 5*d**4.
5*d*(d - 1)*(d + 1)*(d + 2)
Let c be 19092/946 - 1/((-22)/(-4)). What is x in 2/3*x**2 + 150 + c*x = 0?
-15
Let u = -4246805/41571 + 15378/149. Let t = u + -5/31. Determine v so that -2/9*v**2 - 8/9 + t*v = 0.
2
Let h = 0 - 2. Let j be (0/3)/(h + -1). What is k in -5/2*k**3 + 3/2*k**4 + 1/2*k + 2*k**5 - 3/2*k**2 + j = 0?
-1, 0, 1/4, 1
Let c(f) be the third derivative of -f**8/1008 - f**7/210 + f**6/120 + 11*f**5/180 + f**4/12 + 2*f**2 - 5*f. Determine o, given that c(o) = 0.
-3, -1, 0, 2
Factor -42 - 9/2*b + 3/2*b**2.
3*(b - 7)*(b + 4)/2
Let d be (-7 - (-12)/21) + 203/29. Factor -5/7*l**2 + 6/7 - d*l**3 + 23/7*l.
-(l - 2)*(l + 3)*(4*l + 1)/7
Determine d, given that -273*d**3 - 4*d**5 + 674*d**2 - 576 + 480*d - 209*d**3 + 120*d**3 - 92*d**4 - 114*d**3 - 6*d**2 = 0.
-12, -1, 1
Let z(t) be the first derivative of -2/5*t**2 - 16 + 0*t + 8/15*t**3 + 0*t**4 + 2/15*t**6 - 8/25*t**5. Factor z(g).
4*g*(g - 1)**3*(g + 1)/5
Suppose -n = -y + 1, 4*y + 11 = 6*y + n. Solve -3/2 - y*m - 8/3*m**2 = 0.
-3/4
Let k(l) be the second derivative of -3*l**5/160 + l**4/2 - 45*l**3/16 - 243*l**2/8 - 46*l - 1. What is s in k(s) = 0?
-2, 9
Let a(g) be the second derivative of g**6/180 + g**5/120 - 2*g + 10. Factor a(u).
u**3*(u + 1)/6
Suppose 4*m + 3 = 11. Suppose 2*l = v + 4, m*l - 4 = -0*l - 4*v. Find j such that 2/5 + 4/5*j + 2/5*j**l = 0.
-1
Let c be (-224)/((-84)/(-6)) + 18. Factor -8*k + c*k**3 - 2 + 1/2*k**2.
(k - 2)*(k + 2)*(4*k + 1)/2
Let j(z) = z**2 + z - 9. Let h be j(4). Suppose -5 - 10*o - h*o**3 + 10*o**4 + 21*o**3 - 5*o**4 = 0. What is o?
-1, 1
Let q(r) be the second derivative of r**4/24 - r**3/4 + r**2/2 + 2*r - 1. Let q(y) = 0. What is y?
1, 2
Solve -15/8*s**3 + 0 - 3/8*s**5 + 15/8*s**4 + 9/4*s - 15/8*s**2 = 0 for s.
-1, 0, 1, 2, 3
What is u in 131 - 5*u**2 - 1085*u + 3*u**2 + 27*u**2 + 299 = 0?
2/5, 43
Suppose 3*b - 1 - 2 = 0, -2*g + b = -341. Suppose 174*u - 6 = g*u. Suppose -1/2*w**3 - 1/2*w + w**u + 0 = 0. What is w?
0, 1
Let z(v) = -v**4 + 15*v**3 - 6*v**2. Let c(p) = -p**4 - 60*p + 60*p - p**3 - p**2. Suppose 0 = -o + 5*o + 60. Let i(k) = o*c(k) - 5*z(k). Factor i(s).
5*s**2*(2*s - 3)**2
Let s(r) be the second derivative of 0*r**3 + 2/5*r**2 - 13*r - 1/15*r**4 + 0. Factor s(b).
-4*(b - 1)*(b + 1)/5
Let c(b) be the third derivative of 0*b**3 + 0*b + 3/20*b**6 - 1/70*b**7 + b**4 + 14*b**2 + 0 - 3/5*b**5. Factor c(g).
-3*g*(g - 2)**3
Let i(j) be the third derivative of 1/100*j**5 + 1/5*j**3 + 0*j + 0 + 11*j**2 + 3/40*j**4. Factor i(g).
3*(g + 1)*(g + 2)/5
Let q(r) be the second derivative of r**4/60 + 34*r**3/5 + 5202*r**2/5 - 364*r. Factor q(i).
(i + 102)**2/5
Determine o, given that 4/3*o**3 + 2/3*o**4 + 0 + 0*o + 0*o**2 = 0.
-2, 0
What is f in 99/2*f**4 - 21/2*f + 1 - 14*f**5 - 131/2*f**3 + 79/2*f**2 = 0?
1/4, 2/7, 1
Find h such that 2/11*h**3 + 0*h - 2/11*h**4 - 2/11*h**5 + 0 + 2/11*h**2 = 0.
-1, 0, 1
Let u(g) be the second derivative of 22/15*g**6 - 6*g**2 + 4*g - 8/3*g**4 + 9/5*g**5 + 0 + 5/21*g**7 - 23/3*g**3. Solve u(z) = 0 for z.
-3, -1, -2/5, 1
Let o(i) be the second derivative of i**4/6 - 21*i**3/4 - 4*i**2 + 176*i + 2. Factor o(b).
(b - 16)*(4*b + 1)/2
Suppose -17 = 2*o + 5*h - 1, -3*o = -4*h - 22. Let -o + 0 - 45*x + 2*x**2 - 3*x**3 + 48*x = 0. Calculate x.
-1, 2/3, 1
Suppose 0 = -2*k - 2 + 8. Let c = 5 - 0. Find f such that -k*f + f - 4*f**3 + c*f - f + 2*f**2 = 0.
-1/2, 0, 1
Suppose 49 = 20*d + 9. Let b(x) be the second derivative of -3/20*x**5 + 0 + d*x + 0*x**3 + 0*x**2 - 3/10*x**6 + 1/2*x**4. Factor b(m).
-3*m**2*(m + 1)*(3*m - 2)
Let u(q) be the first derivative of -3*q**5/2 - 51*q**4/16 - q**3 + 9*q**2/8 + 46. Find n, given that u(n) = 0.
-1, 0, 3/10
Suppose 2*b - 72 = -2*b. Let u = b + -17. Suppose -3*w - 3*w**2 - u + 2*w**3 + 0*w**3 - 3*w**3 = 0. Calculate w.
-1
Let d(l) be the first derivative of 1/2*l**4 + 0*l**2 - 8/45*l**5 + 0*l - 4/27*l**3 + 7. Factor d(j).
-2*j**2*(j - 2)*(4*j - 1)/9
Let y(x) be the second derivative of 5*x**7/14 - 11*x**6/6 - x**5/4 + 95*x**4/12 + 5*x**3 - 110*x. Find m such that y(m) = 0.
-1, -1/3, 0, 2, 3
Let -4/5*d**3 + 0 + 0*d**2 + 0*d**4 + 0*d + 4/5*d**5 = 0. Calculate d.
-1, 0, 1
Let d(f) be the third derivative of f**5/75 - 11*f**4/15 + 38*f**3/5 - 3*f**2 + 8. Factor d(g).
4*(g - 19)*(g - 3)/5
What is v in 20/7*v + 12/7*v**2 - 8/7 = 0?
-2, 1/3
Let t(m) be the second derivative of 