 0. What is w?
0, 1, 2
Suppose -2*q - q = -6. Let i(j) = -2*j**2 - 10*j - 10. Let u be i(-3). Determine o so that u*o - 3*o**q - 2*o**2 + 9*o**2 + 2*o = 0.
-1, 0
Let y be -5 + (-3787)/(-420) - (-4)/(-1). Let i(v) be the second derivative of v + 1/18*v**3 + 0 - 1/6*v**2 - y*v**5 + 1/36*v**4. Let i(p) = 0. Calculate p.
-1, 1
Suppose 14 = -2*f - 4*s, 2*f - 7*s + 3*s = 26. Suppose -9 = -f*i - 0*i. Factor i*v**2 + 4 - 2*v + 2*v**4 - 5*v**2 + 0*v - 4*v**2 + 2*v**3.
2*(v - 1)**2*(v + 1)*(v + 2)
Factor 8*r**3 - 14*r**2 + 6*r**2 + 3*r - 6*r**3 - 4*r**4 - 17*r**3.
-r*(r + 1)*(r + 3)*(4*r - 1)
Let s(y) = 2*y**2 + 17*y + 14. Let a(t) = -2*t**2 - 16*t - 16. Let r(n) = -3*a(n) - 2*s(n). Find m such that r(m) = 0.
-5, -2
Let x be ((-3432)/(-14520) - (-8)/22) + 0/(-2). Find t, given that -x - 1/10*t**2 - 1/2*t = 0.
-3, -2
Let w(o) be the first derivative of -o**5/3 - 11*o**4/12 - 7*o**3/9 - o**2/6 + 260. Let w(s) = 0. What is s?
-1, -1/5, 0
Let -5522*o**2 + 5508*o**2 + 2*o**3 - o**3 = 0. Calculate o.
0, 14
Let p = 25118 - 2763007/110. Let j = -1/22 - p. Factor 1/5*o - 2/5*o**2 + 0 + j*o**3.
o*(o - 1)**2/5
Let p(j) be the second derivative of j**6/105 - 6*j**5/35 + j**4/2 + 14*j**3/3 + 839*j. Factor p(w).
2*w*(w - 7)**2*(w + 2)/7
Find y, given that -2*y**2 - 10*y - 24 + 39 - 1 - 22 = 0.
-4, -1
Let d be 100/5 + (-9 - 1). Let n(m) be the first derivative of d - 4/7*m**2 + 4/21*m**3 + 0*m. Find i, given that n(i) = 0.
0, 2
Find z such that -100/3 - 130/9*z + 2/9*z**4 - 10/3*z**3 + 46/3*z**2 = 0.
-1, 5, 6
Let c(m) be the third derivative of -m**6/30 + 11*m**5/15 - 5*m**4/3 - 39*m**2. Let c(y) = 0. What is y?
0, 1, 10
Let x = -2588281898/1088051 + 34/64003. Let l = -2378 - x. Factor 4/17*p + 0 + l*p**2 + 6/17*p**3.
2*p*(p + 2)*(3*p + 1)/17
Let i = -4724 - -4769. Let -195*b**3 + 33/2*b**2 + 507/4*b**4 + 27/4 + i*b = 0. What is b?
-3/13, 1
Let b(x) be the first derivative of -x**4 + 52*x**3 - 156. Factor b(m).
-4*m**2*(m - 39)
Let v(w) be the first derivative of 0*w - 3/20*w**4 - 3/10*w**2 - 2/5*w**3 + 19. Let v(q) = 0. What is q?
-1, 0
Let d(j) = -4*j**3 - 148*j**2 + 338*j - 168. Let h(t) = -4*t**3 - 150*t**2 + 337*t - 168. Let s(b) = 5*d(b) - 6*h(b). Factor s(p).
4*(p - 1)**2*(p + 42)
What is w in 9*w**2 + 109 + 74*w**3 - 20*w**4 + 82*w**3 - 29*w**2 - 69 - 165*w + 9*w**3 = 0?
-1, 1/4, 1, 8
Determine i, given that 19*i**2 - 651*i - 1509*i - 233280 - 24*i**2 = 0.
-216
Let a(u) be the third derivative of 49*u**6/30 + 112*u**5/15 - 50*u**4 + 96*u**3 - 245*u**2. Suppose a(f) = 0. Calculate f.
-4, 6/7
Determine u so that 52/5*u**2 - 2/5*u**3 + 0 + 54/5*u = 0.
-1, 0, 27
Let r be ((-240)/(-100))/(4/10). Let n be 54/r*(-3)/(-9). Factor n*p**2 - 3*p**3 + 0 - 6 - 15*p**2 - 10*p - 5*p.
-3*(p + 1)**2*(p + 2)
Let j(h) be the third derivative of 0 + 0*h + 0*h**3 + 1/2*h**4 + 7/10*h**7 - 2*h**2 + 77/40*h**6 + 8/5*h**5. What is n in j(n) = 0?
-1, -2/7, 0
Let z(h) = -4*h - 1. Let y be z(-2). Factor y*x**2 + 4*x - 11*x - 23*x - 2*x**2.
5*x*(x - 6)
Let f(x) = -7*x**3 + 33*x**2 - 58*x - 2. Let p(b) = 155*b**3 - 725*b**2 + 1275*b + 45. Let j(c) = -45*f(c) - 2*p(c). Find w such that j(w) = 0.
0, 3, 4
Let f = -23 - -26. Factor 28*z + 2*z**2 - 3*z**4 + 17*z**f + 2*z**2 - 38*z**2 - 8.
-(z - 2)**2*(z - 1)*(3*z - 2)
Let l be (-250)/20*(12/10 - 2). What is h in 34*h**3 + l*h - 15*h**3 - 29*h**3 - 5*h**4 + 5*h**2 = 0?
-2, -1, 0, 1
Let z(n) be the second derivative of -n**4/36 + n**3/18 + 2*n**2 - 98*n. Suppose z(w) = 0. What is w?
-3, 4
Suppose -14*i**3 + 30*i + 37*i**4 - 17*i**2 - 49*i**4 + 5*i**4 + 8*i**4 = 0. What is i?
-2, 0, 1, 15
Solve -66/23*k**3 + 136/23*k + 232/23*k**2 - 32/23 = 0 for k.
-2/3, 2/11, 4
Let -6/5*d**2 + 4/5*d**3 + 2/5*d**4 + 0*d + 0 = 0. What is d?
-3, 0, 1
Let r(n) = 6*n**2 - 11*n - 10. Suppose 3 = -z + 5, -3*o = -z - 4. Let q(u) = -1 - 10*u - 2 - 4 + 5*u**o - 2. Let x(t) = 7*q(t) - 6*r(t). Factor x(p).
-(p + 1)*(p + 3)
Factor -4 + 2/5*z**3 - 26/5*z - 4/5*z**2.
2*(z - 5)*(z + 1)*(z + 2)/5
Let h(l) be the third derivative of l**8/84 + 58*l**7/105 + 25*l**6/3 + 586*l**5/15 + 533*l**4/6 + 338*l**3/3 - 5*l**2 + 10. Factor h(p).
4*(p + 1)**3*(p + 13)**2
Let q(p) = 88*p**2 + 350*p + 251. Let r(j) = -18*j**2 - 70*j - 50. Let l(b) = -4*q(b) - 22*r(b). Determine d so that l(d) = 0.
-24/11, -1
Let h = 581/80 + -97/16. Factor 2/5*c**4 - h*c**2 + 2/5*c**3 - 4/5 - 2*c.
2*(c - 2)*(c + 1)**3/5
Let a(r) be the first derivative of -4913*r**6/30 - 16184*r**5/25 - 1649*r**4/5 + 10672*r**3/15 - 1504*r**2/5 + 256*r/5 + 24. Find s such that a(s) = 0.
-2, 4/17
Let x be 3366/2970 - (-2)/10. Determine k so that 0*k**2 - 1/3*k**4 + k**3 - x*k + 0 = 0.
-1, 0, 2
Let t be 0 + 14/5 - -2. Let q be 15/50 - (-85)/50. Factor -32/5 + 48/5*n - t*n**q + 4/5*n**3.
4*(n - 2)**3/5
Suppose 3*b = y + 26, 0 = -0*b + b - 5*y - 18. Factor 65*d + 45*d**3 + b*d**2 - 69*d**2 - 26*d**2 - 33*d**2 - 10.
5*(d - 2)*(3*d - 1)**2
Factor -4*l - 5*l**3 + 17*l**2 + 7*l**2 - 15 + 9*l**3 - 9.
4*(l - 1)*(l + 1)*(l + 6)
Let u(z) = -11*z - 4*z + 3*z + 2*z**2 + 15. Let f = -7 - -21. Let l(a) = 10*a**2 - 60*a + 76. Let s(m) = f*u(m) - 3*l(m). Determine j so that s(j) = 0.
3
Suppose -4*v - 10 = 5*d, 2*v + 327*d = 323*d - 14. Determine l so that -37/10*l**4 - 67/10*l**2 + 7/10*l**v - 2/5 + 73/10*l**3 + 14/5*l = 0.
2/7, 1, 2
Suppose 0 = b - 4*h + 5, 2*h - 52 = -b - 3*b. Suppose 1 = -4*u + 3*z, -2*u + b = 2*u + z. Factor 0*w**3 + 1/5*w + 0 - 2/5*w**u + 2/5*w**4 - 1/5*w**5.
-w*(w - 1)**3*(w + 1)/5
Let m = 56/33 + -15/11. Let v(w) be the first derivative of w**4 - 4 + 1/9*w**6 + m*w**2 + 0*w + 8/15*w**5 + 8/9*w**3. Factor v(r).
2*r*(r + 1)**4/3
Factor -37*u - 19*u + 0 - 20*u**2 + 4*u**3 + 2 - 2.
4*u*(u - 7)*(u + 2)
Let x be (-2)/9 - (8/18)/(-2). Find l, given that x*l**2 - 47*l**3 - l**2 - 2 + 52*l**3 - 5*l + 3*l**4 = 0.
-1, -2/3, 1
Factor -20535/4*d - 2775/2*d**2 - 125*d**3 - 50653/8.
-(10*d + 37)**3/8
Let 2/15*a - 2/15*a**3 + 0 + 0*a**2 = 0. What is a?
-1, 0, 1
Find c such that 28 - 4/3*c**3 + 44/3*c**2 - 124/3*c = 0.
1, 3, 7
Let y = 67037/9310 - 1/1862. Factor y*d - 6/5*d**2 + 0.
-6*d*(d - 6)/5
Suppose v = 5*v + 2*t, -8 = -2*v + t. Let -15*i + 2*i + i + 4 + 8*i**v = 0. Calculate i.
1/2, 1
Let j = -23784 + 23786. Factor 1/2*y**4 + 1/2*y**5 - y**3 + 1/2*y - y**j + 1/2.
(y - 1)**2*(y + 1)**3/2
Factor 2/15*r**2 + 336/5*r + 42336/5.
2*(r + 252)**2/15
Let f(c) be the second derivative of -c**5/10 - 5*c**4/2 - 9*c**3 + 243*c**2 + 6*c + 8. Factor f(x).
-2*(x - 3)*(x + 9)**2
Let z(r) be the third derivative of 5*r**8/336 - 11*r**7/14 + 12*r**6 - 64*r**5/3 + 11*r**2 - 8. Factor z(m).
5*m**2*(m - 16)**2*(m - 1)
Let t(n) be the third derivative of 1/525*n**7 + 0*n**4 - 9/5*n**3 - 3*n**2 + 2/75*n**6 + 3/25*n**5 + 0*n + 0. Find l, given that t(l) = 0.
-3, 1
Let d(m) be the first derivative of 0*m - 13 - 1/12*m**3 - 1/2*m**2. Solve d(z) = 0.
-4, 0
Suppose d + d - 4*g = 10, 3*d = 4*g + 13. Let l = -287 - -289. Factor -d + 2*p**l - 3 + 4.
2*(p - 1)*(p + 1)
Let s be 1/3 - 14/(-3). Let n = -2 + s. Factor 5*a + a**2 - 3*a + 4 - n.
(a + 1)**2
Let c(x) be the second derivative of -x**4/12 - 3*x**3 - 17*x**2/2 + 161*x. Suppose c(q) = 0. What is q?
-17, -1
Let d(g) be the second derivative of -7*g**6/150 - 24*g**5/25 - 21*g**4/4 + 49*g**3/15 + 45*g - 1. Factor d(x).
-x*(x + 7)**2*(7*x - 2)/5
Let a(y) be the second derivative of 0 - 1/3*y**3 + 1/3*y**4 + 0*y**2 + 3*y - 1/10*y**5. Find n such that a(n) = 0.
0, 1
Let m = 21311296/113617 + 1/16231. Let s = m + -187. What is h in 0*h**4 - s*h**2 + 0*h + 0 + 2/7*h**5 - 6/7*h**3 = 0?
-1, 0, 2
Find g, given that 2616*g**3 + 3*g**5 - 9*g**4 + 4*g**2 + 5*g**2 - 2619*g**3 = 0.
-1, 0, 1, 3
Let u be ((-1)/4)/(6 - (-98)/(-16)). Let h be (u/26)/((-1)/(-2)). Determine y so that -h*y**3 + 2/13*y + 2/13*y**4 - 2/13*y**2 + 0 = 0.
-1, 0, 1
Suppose -5*w + 4 + 6 = 0. Suppose 17 = i - 2*o - 17, -3*o = w*i - 33. Let -35*p + 13*p**3 - 477*p - 21*p**3 - 192*p**2 - 2*p**4 - 512 - i*p**3 = 0. Calculate p.
-4
Let l = -137491/9 - -15277. Determine f so that 22/9 - 20/9*f - l*f**2 = 0.
-11, 1
Let z(g) be the third derivative of g**7/3780 - g**5/20 - 7*g**4/24 - 6*g**2. Let s(j) be the second derivative of z(j). What is b in s(b) = 0?
-3, 3
Let q(p) be the third derivative of 0*p**3 + 0 - 3*p**2 + 1/35*p**7 + p - 1/336*p**8 - 1/6*p**4 - 