ve of 1/20*r**5 + 0*r - 2*r**t - 2*r**2 + 0 + 0*r**4. Factor i(v).
3*(v - 2)*(v + 2)
Suppose 6/5 - 4/5*x**2 + 1/5*x + 1/5*x**3 = 0. What is x?
-1, 2, 3
Let x = -67 + 15. Let i = x - -55. Determine t, given that -2/9*t**5 - 8/9*t**2 - 16/9*t**i + 0*t + 0 - 10/9*t**4 = 0.
-2, -1, 0
Suppose 95*a - 112*a = 0. Let m(i) be the third derivative of 9*i**2 + 2/3*i**3 + a + 0*i + 5/12*i**5 - 5/6*i**4. Factor m(s).
(5*s - 2)**2
Let i = -16347/28 - -2349/4. Let -512/7*m + 1/7*m**4 + 192/7*m**2 - i*m**3 + 0 = 0. What is m?
0, 8
Let c(l) = -l**2 + 82*l - 1645. Let j be c(47). Find h such that 1/2 - 1/2*h**2 + j*h = 0.
-1, 1
Let v(l) be the second derivative of -l**5/40 + 11*l**4/12 + 47*l**3/12 + 6*l**2 + 148*l. Solve v(n) = 0.
-1, 24
Suppose 23*z + 22 = 19*z + 5*o, 5*z = 20*o - 110. Factor -1/2*k**z + 0*k + 1/4*k**3 + 0.
k**2*(k - 2)/4
Factor 0 + 78/11*d**2 + 0*d - 2/11*d**3.
-2*d**2*(d - 39)/11
Suppose 13 = -6*d + 19. Let l be d/6*-3 + (-69)/(-10). What is n in -128/5*n - 4/5*n**4 - 96/5*n**2 - 64/5 - l*n**3 = 0?
-2
Factor 2/9*p**3 - 4/9*p - 1/3*p**2 + 1/9*p**4 + 4/9.
(p - 1)**2*(p + 2)**2/9
Let j be (4/(-8))/(3/((-3)/2)). Let k(w) be the second derivative of 0 + 7*w + 3/2*w**3 - j*w**4 - 3*w**2. Let k(t) = 0. Calculate t.
1, 2
Let f = 13 + -46. Let a = f + 35. Suppose 1/4*u**3 + 0*u**a - 3/4*u - 1/2 = 0. What is u?
-1, 2
Suppose -5*l = 2 - 32. Let x(b) = 4*b - 20. Let c be x(l). Find d such that 3*d**2 - d**4 - 2*d**c - 2 + 2 = 0.
-1, 0, 1
Solve 17/4*b**2 + 1/4*b**3 + 147/4 + 91/4*b = 0 for b.
-7, -3
Let u = -58 - -39. Let o = u + 19. Suppose o + 1/2*d - 1/4*d**2 = 0. Calculate d.
0, 2
Let b(i) be the first derivative of -i**5/40 + 19*i**4/8 - 683*i**3/12 - 741*i**2/4 - 1521*i/8 - 452. Factor b(v).
-(v - 39)**2*(v + 1)**2/8
Let y be ((-1140)/760)/((-3 + 1)/4). Factor -8/3*i**y - 8/3*i - 4*i**2 - 2/3*i**4 - 2/3.
-2*(i + 1)**4/3
Let n(l) be the first derivative of 3*l**4/8 - 11*l**3/2 + 18*l**2 + 54*l + 300. Find u such that n(u) = 0.
-1, 6
Let g(n) be the third derivative of n**5/90 - n**4/3 - 64*n**3/9 - 452*n**2. Factor g(q).
2*(q - 16)*(q + 4)/3
Let a(q) be the second derivative of 1/12*q**5 + 0 + 5/36*q**4 + 0*q**2 + 0*q**3 - 18*q. Find g such that a(g) = 0.
-1, 0
Let c be 1/(-5) + 92/(-40) + 2. Let q = 11/6 + c. Factor -4/3 - 1/3*l**2 + q*l.
-(l - 2)**2/3
Let h = 101 - 98. Suppose 3*g = h*j - 9, -2*g + 3 = 2*j + 9. Factor -27/4*s**3 + 0 + j*s - 3/2*s**2 - 21/4*s**4.
-3*s**2*(s + 1)*(7*s + 2)/4
Let i(y) = y**3 + 2*y**2 - 2*y + 6. Let k be i(-3). Suppose 2*c**4 + 6*c - 6*c**k - 4*c**4 - 17*c**2 + 15*c**2 + 4 = 0. Calculate c.
-2, -1, 1
Let a(y) be the first derivative of -1 + 1/180*y**5 + 1/36*y**4 + 0*y**3 + 3*y**2 + 0*y. Let w(m) be the second derivative of a(m). Factor w(l).
l*(l + 2)/3
Suppose -30/7*z**3 + 18/7 + 0*z**2 + 33/7*z - 3/7*z**5 - 18/7*z**4 = 0. Calculate z.
-3, -2, -1, 1
Factor 0 - 1/5*c**2 + 10*c.
-c*(c - 50)/5
Let s = 1003/288 + 7/96. Factor 208/9*f + 184/9*f**2 + s + 44/9*f**3.
4*(f + 2)**2*(11*f + 2)/9
Let q = 32 + -28. Let s(r) be the first derivative of 0*r**2 + 2 - 2/55*r**5 + 0*r**q + 0*r + 2/33*r**3. Factor s(n).
-2*n**2*(n - 1)*(n + 1)/11
Let j = -402 + 404. Let o(z) be the first derivative of j + 1/15*z**3 - 2/5*z + 1/10*z**2. Find y such that o(y) = 0.
-2, 1
Let q be 1/((-27)/6) - 94/(-18). Determine y so that 69*y - 10*y**4 - 2*y**3 - 69*y - 3*y**3 - q*y**5 = 0.
-1, 0
Let f(l) = 5*l**4 - 199*l**3 + 960*l**2 - 1321*l + 566. Let h(b) = -b**4 + 40*b**3 - 192*b**2 + 264*b - 113. Let y(r) = 2*f(r) + 11*h(r). Solve y(n) = 0.
1, 3, 37
Let j(c) be the second derivative of c**4/4 - 114*c**3 + 19494*c**2 - 919*c. Find o such that j(o) = 0.
114
Let -15*a + 36*a - 4*a**2 - 5*a**3 - 37*a**2 - 96*a + 135 - 14*a**2 = 0. What is a?
-9, -3, 1
Factor 8/3*d**2 + 2*d - 12 - 2/3*d**3.
-2*(d - 3)**2*(d + 2)/3
Let b(v) be the third derivative of -2*v**7/525 - v**6/150 + v**5/75 + v**4/30 + 67*v**2. Find p, given that b(p) = 0.
-1, 0, 1
Let h(s) be the third derivative of 0 - 1/15*s**5 + 1/6*s**4 + 4/3*s**3 + 0*s + 16*s**2. Suppose h(d) = 0. What is d?
-1, 2
Let k(q) be the second derivative of q**5/90 - q**4/54 - 26*q**3/27 - 8*q**2/3 - 3*q + 45. Find a, given that k(a) = 0.
-4, -1, 6
Let j(t) be the second derivative of t**4/60 + 163*t**3/15 + 26569*t**2/10 + 103*t. Solve j(k) = 0.
-163
Let o(b) be the second derivative of 0*b**4 + 0 + 1/6*b**6 + 0*b**2 + 0*b**3 + 1/4*b**5 - 48*b. Solve o(c) = 0 for c.
-1, 0
Suppose 3 + 18 = 3*k. Let n be (6 + 2)*k/28. Factor 0 - 1/2*q**3 + 1/2*q**n + 1/2*q - 1/2*q**4.
-q*(q - 1)*(q + 1)**2/2
Let s be (-110)/(-11)*1*(-2)/(-4). Factor -6*n**3 + 2*n + s*n**3 - 2*n**4 + 2*n**2 - n**3.
-2*n*(n - 1)*(n + 1)**2
Let n(d) = 2 - 2 + 9*d**2 + 6*d**3. Let i(r) = -3*r - 2*r + 0*r + 17*r**3 + 6*r + 26*r**2. Let c(o) = -3*i(o) + 8*n(o). Find s, given that c(s) = 0.
-1, 0
Let x(r) be the third derivative of -4/45*r**5 - 5/18*r**4 + 0*r + 1/30*r**6 + 4/9*r**3 + r**2 - 9. Factor x(d).
4*(d - 2)*(d + 1)*(3*d - 1)/3
Let h(i) = 12*i**2 - 549*i + 37002. Let w(u) = -5*u**2 + 274*u - 18500. Let s(a) = -6*h(a) - 15*w(a). Determine j so that s(j) = 0.
136
Let y(b) = -4*b**2 - 142*b - 298. Let g(x) = 11*x**2 + 283*x + 597. Let d(u) = -2*g(u) - 5*y(u). Factor d(a).
-2*(a - 74)*(a + 2)
Let u(d) = 3 - 2 - 3*d**3 + 14 - 21*d**2 + 0*d**3 - 18*d. Let r(n) = n**2 + n - 1. Let x(i) = -15*r(i) - u(i). Determine q so that x(q) = 0.
-1, 0
Factor 3/2*d**4 - 7/6 + 1/6*d**5 - 5/2*d - 1/3*d**2 + 7/3*d**3.
(d - 1)*(d + 1)**3*(d + 7)/6
Factor 575 - 602 - 17*g**3 - 72*g**2 - 78*g + 3*g**4 - g**3.
3*(g - 9)*(g + 1)**3
Let i(q) be the first derivative of -27 - 3/4*q**4 + 0*q**2 - q**3 + 0*q. Factor i(d).
-3*d**2*(d + 1)
Let n(f) be the second derivative of 0*f**2 - 10/3*f**3 - 10/3*f**4 - 26*f + 1/4*f**5 + 0 + 1/3*f**6. Factor n(g).
5*g*(g - 2)*(g + 2)*(2*g + 1)
Suppose -27*p + y = -29*p + 3, 3*p + 3*y = 0. Let j(z) be the second derivative of 0 + 1/2*z**p + 1/3*z**4 - 6*z - 1/2*z**2. Factor j(k).
(k + 1)*(4*k - 1)
Let s(g) = -3*g**2 + 8*g - 11. Let j(r) = 3*r**2 - 8*r + 10. Let y(p) = 5*j(p) + 4*s(p). Let w(z) = 3*z**2 - 7*z + 5. Let c(o) = -6*w(o) + 5*y(o). Factor c(k).
-k*(3*k - 2)
Let f be 6 + -12 + 10/1. Let u(l) be the third derivative of 3*l**2 + 1/240*l**5 - 1/840*l**7 + 0*l**3 + 0*l**f + 0*l**6 + 0 + 0*l. Factor u(m).
-m**2*(m - 1)*(m + 1)/4
Let z(k) be the third derivative of k**8/6720 + k**7/840 + 7*k**4/8 - k**2. Let x(d) be the second derivative of z(d). Factor x(h).
h**2*(h + 3)
Let d(i) be the second derivative of -i**4/60 + 2*i**3/15 - 2*i**2/5 + 75*i. Factor d(l).
-(l - 2)**2/5
Let u(d) be the third derivative of 1/42*d**7 + 0*d + 0*d**3 + 1/24*d**6 - 1/12*d**5 - 5/336*d**8 + 10*d**2 + 0 + 0*d**4. Solve u(p) = 0 for p.
-1, 0, 1
Let h = -48/25 + 58/25. Let y(j) be the first derivative of -2/25*j**5 + 3 + 0*j + 1/5*j**2 - h*j**3 + 3/10*j**4. Determine a, given that y(a) = 0.
0, 1
Let c(h) be the third derivative of -h**8/784 - h**7/490 + 9*h**6/280 + h**5/28 - 2*h**4/7 - 6*h**3/7 - 216*h**2. Let c(f) = 0. What is f?
-3, -1, 2
Suppose 2*h - 71 = h - 4*c, 0 = -3*h - 5*c + 199. Let g be (-3*(-8)/(-36))/((-70)/h). Factor 2/5 - 1/5*d**4 + d - 1/5*d**3 + g*d**2.
-(d - 2)*(d + 1)**3/5
Find q such that -3688*q - 13438*q**2 - 22862*q**2 - 3*q**5 - 8641*q - 19615*q - 4554*q**3 - 201*q**4 = 0.
-22, -1, 0
Suppose 2*s + 14 = 22. Let h(n) = -7*n**3 + 4*n**2 - n. Let l(o) = 6*o**3 - 3*o**2. Let v(j) = s*l(j) + 3*h(j). Let v(r) = 0. What is r?
-1, 0, 1
Let i = 7624 + -7622. What is a in -i - 63/2*a**2 - 49/4*a**3 - 15*a = 0?
-2, -2/7
Determine q, given that 12/7*q**2 - 4/7*q + 0 - 8/7*q**3 = 0.
0, 1/2, 1
Let g(w) be the first derivative of 0*w + 1/20*w**6 - 7/2*w**2 + 0*w**3 + 1/4*w**5 - 4 + 1/4*w**4. Let k(j) be the second derivative of g(j). Factor k(b).
3*b*(b + 2)*(2*b + 1)
Let b = 1 - -3. Suppose b*j = -0*j + 24. Factor -p + 4*p - j*p - 9*p**2 - 3 - 6*p - 3*p**3.
-3*(p + 1)**3
Let z be (-48)/(-14) + 1 + 1354 + -1357. Factor 2/7*h**3 + 12/7 - z*h - 4/7*h**2.
2*(h - 3)*(h - 1)*(h + 2)/7
Let p(c) = -c**4 - c**3 + c - 1. Let m(v) = -4*v**4 + 6*v**3 - v + 1. Let s = -90 + 91. Let u(y) = s*p(y) + m(y). Suppose u(o) = 0. What is o?
0, 1
Suppose -7/5*a**2 + 1/5*a**3 - 8/5 + 14/5*a = 0. What is a?
1, 2, 4
Suppose -4*u + 12 = 32*t - 34*t, 12 = 4*u + 2*t. Let