+ u**4/24 - u + 1. What is a in w(a) = 0?
-1, 0
Let w be -3 + 37/9 - -3. Let z(t) be the first derivative of -4/3*t + 10/3*t**2 - 3/5*t**5 + 2 + 5/2*t**4 - w*t**3. Suppose z(k) = 0. What is k?
2/3, 1
Factor 33*t - t**2 + 21*t + t + 6*t**2 + 0*t**2.
5*t*(t + 11)
Let a be (-1)/((-2)/16) - (-27 - -38) - -6. What is f in 0*f + 2*f**4 + 0 + 0*f**2 + 1/2*f**a = 0?
-1/4, 0
Let k(r) be the first derivative of -r**3/3 - 21*r**2 - 41*r - 173. Factor k(l).
-(l + 1)*(l + 41)
Let a(r) = r**2 - 10*r + 23. Let d be a(7). Suppose d*p = 4*b, -p + 6 = 5*b - 8. Find x, given that 0*x**b - 6*x**2 - 2*x**2 + 2*x**3 + 4*x**2 = 0.
0, 2
Let v(k) be the first derivative of -5*k**4/4 + 20*k**3 - 90*k**2 + 160*k - 35. Factor v(g).
-5*(g - 8)*(g - 2)**2
Suppose 1143*u**2 + 12 - 10206*u**5 + 36936*u**4 - 3784*u**3 - 13659*u**3 - 2861*u**3 + 3029*u**2 - 370*u = 0. What is u?
1/9, 2/7, 3
Let w(d) be the third derivative of 0*d - 4/15*d**5 - 23*d**2 - 4/3*d**3 + 1/30*d**6 + 5/6*d**4 + 0. Factor w(z).
4*(z - 2)*(z - 1)**2
Factor -20/7 + 16/7*m**2 - 4/7*m.
4*(m + 1)*(4*m - 5)/7
Let l(s) be the first derivative of s**6/600 + s**5/20 - 11*s**4/40 + 34*s**3/3 + 6. Let w(m) be the third derivative of l(m). Suppose w(y) = 0. What is y?
-11, 1
Let q(c) be the second derivative of 3*c**5/20 - 6*c**4 + 96*c**3 - 768*c**2 + 175*c. Factor q(d).
3*(d - 8)**3
Factor -44/5*u + 4/5*u**2 + 8.
4*(u - 10)*(u - 1)/5
Let v(i) = 37*i**4 + 492*i**3 - 149*i**2 + 5*i - 5. Let a(m) = -19*m**4 - 246*m**3 + 74*m**2 - 2*m + 2. Let j(p) = 5*a(p) + 2*v(p). Factor j(b).
-3*b**2*(b + 12)*(7*b - 2)
Suppose -4*h = -2*j + 42, 4*j - 40 = 2*h + 44. Suppose j*k**3 + 12*k**2 - 10*k**3 + 8 - 7*k**3 + 20*k + 4*k**2 = 0. What is k?
-2, -1
Let n(o) = 20*o**3 + 35*o**2 + 10*o + 25. Let u(l) = l**2 + l + 1. Suppose -4*b - 91 - 29 = 0. Let p(q) = b*u(q) + n(q). Suppose p(y) = 0. What is y?
-1, -1/4, 1
Factor -213*i - 23*i**2 + 21*i + 21*i**2 + 32 + 12*i**3.
2*(i - 4)*(i + 4)*(6*i - 1)
Factor -35*b**3 + 12*b - 13*b**3 + 16 - 20*b**2 + 4*b**4 + 36*b**3.
4*(b - 4)*(b - 1)*(b + 1)**2
Let 0*u + 0 - 2/7*u**3 - 2/21*u**4 + 0*u**2 = 0. What is u?
-3, 0
Let f = 12 + -12. Let -16*d**3 + f*d**4 + 20*d**3 - 4*d - 2*d**4 + 0*d + 2*d**2 = 0. Calculate d.
-1, 0, 1, 2
Determine b so that 2/13*b**4 - 8/13*b + 0 + 8/13*b**3 - 2/13*b**2 = 0.
-4, -1, 0, 1
Let t = 102937/61764 - -1/20588. Factor 1 - 8/3*p + t*p**2.
(p - 1)*(5*p - 3)/3
Factor 18*j**3 + j**4 + 19*j**3 + 3*j**4 + 96*j - 5*j**3 + 36 + 88*j**2.
4*(j + 1)**2*(j + 3)**2
Let w(j) be the second derivative of -j**4/54 + 11*j**3/27 - 2*j**2 + 2*j - 19. Factor w(n).
-2*(n - 9)*(n - 2)/9
Suppose 2*a = -3*a. Let x(m) be the first derivative of 0*m**2 + a*m**4 + 1/6*m**3 + 0*m - 1/10*m**5 + 7. Suppose x(s) = 0. What is s?
-1, 0, 1
Suppose -4*f = 3*p - 48, -4*f + 5*p + 30 = -18. Suppose 12 = 2*n + f. Determine x so that n - x + 1/2*x**2 = 0.
0, 2
Let h be (-6)/28*(74 - 70 - 5*2). Let -1/7 - 6/7*b - h*b**2 = 0. Calculate b.
-1/3
Let s = -46937 - -46940. Suppose -1/5*z**s + 0 + 0*z + 0*z**2 = 0. Calculate z.
0
Let h(j) be the second derivative of j**7/273 - 3*j**6/65 + 3*j**5/26 - 7*j**4/78 - 2*j + 33. Factor h(q).
2*q**2*(q - 7)*(q - 1)**2/13
Let k be 3/2*70/15. Determine a so that -1 + 2*a**2 + 6*a**4 - k*a**4 + 0*a**4 = 0.
-1, 1
Let v(j) = -4*j**3 + 10*j**2 + j - 7. Let q(s) = 19*s**2 - 14 - 4*s - 16*s**3 + 6*s + 9*s**3. Let t(h) = -6*q(h) + 10*v(h). Suppose t(x) = 0. What is x?
-1, 1, 7
Find b such that -b**2 - 3674 + 64*b + 3930 + 2*b**2 + 3*b**2 = 0.
-8
Let x(n) be the first derivative of -10*n**3 - 85*n**2/2 + 15*n - 16. Determine p so that x(p) = 0.
-3, 1/6
Let z be (-33)/11 - 7/(-1). Let n(v) be the third derivative of 0 - 1/5*v**6 + 1/4*v**5 + 0*v**3 - 1/12*v**z - 8/105*v**7 + 0*v + 6*v**2. Factor n(o).
-o*(o + 2)*(4*o - 1)**2
Suppose 5*o - 2*j = 10, 0*o + 3*o - 6 = -2*j. Let k be (o/(-6))/(9/(-54)). Factor -2/7*f - 5/7*f**k + 0.
-f*(5*f + 2)/7
Let a(m) be the third derivative of -m**7/735 + m**6/60 - 11*m**5/210 + 5*m**4/84 + m**2 + 39. Let a(h) = 0. Calculate h.
0, 1, 5
Suppose 62*o**3 - 605*o**2 + 145*o**4 + 520*o - 53 - 67*o**3 - 27 + 25*o**5 = 0. What is o?
-4, 1/5, 1
Let q(l) = -6*l**4 - 12*l**3 + 15*l**2 - 24*l. Let w(k) = k**4 + 2*k. Let d(c) = q(c) + 9*w(c). Factor d(v).
3*v*(v - 2)*(v - 1)**2
Let k(h) = 10*h**3 - 8*h**2 - h + 12 - 4*h - 25*h + 0. Let t(i) = -i**3 - i**2 + i - 1. Let r(q) = k(q) + 12*t(q). Factor r(j).
-2*j*(j + 1)*(j + 9)
Let m(c) be the second derivative of c**5/4 + 5*c**4 + 15*c**3/2 - 55*c**2 - 72*c - 2. Find h, given that m(h) = 0.
-11, -2, 1
Let m = 77 + -75. Suppose -3*u = 9, 0 = 5*j + m*u - 3*u - 28. Factor 2/11*a**3 + 2/11*a**j + 0*a + 0 + 0*a**2 - 4/11*a**4.
2*a**3*(a - 1)**2/11
Suppose d = -3*y + 5*y - 2, 3*y + 12 = 4*d. Let -119*a**3 + 2 - 276*a**2 + d*a + 49*a**4 - 143*a - 18 + 13*a = 0. Calculate a.
-1, -2/7, 4
Let b(v) be the first derivative of v**3/9 - 7*v**2/6 + 10*v/3 - 20. Factor b(o).
(o - 5)*(o - 2)/3
Let k(s) = -s**3 + 2*s**2 + 4*s. Let f be k(3). Let h = -186 + 560/3. Factor h*i**f + 2/3 + 2*i**2 + 2*i.
2*(i + 1)**3/3
Let x be (3/2)/(33/44). Let r(b) = b + 1 + 0*b + 0*b + b**x. Let w(c) = -10*c**2 - 5*c - 3. Let u(s) = -6*r(s) - 2*w(s). Determine v, given that u(v) = 0.
-2/7, 0
Factor 179180*z + 8902 + 16830*z**2 + 5*z**4 - 35*z**3 + 66654 - 150563 + 540*z**3 - 121513.
5*(z - 1)*(z + 34)**3
Let z be 1*(21/(-9) - -4)*3. Let p(n) be the second derivative of -7/4*n**3 - 9/40*n**z - 3*n - n**4 - 3/2*n**2 + 0. Determine o, given that p(o) = 0.
-1, -2/3
Suppose 946 + 2*s + 5*s + 5*s + 4*s**2 - 938 = 0. Calculate s.
-2, -1
Let j(m) = m**2 - 10*m + 10. Let i be j(4). Let x = -12 - i. Suppose -3/7*b**x + 0 - 3/7*b**3 + 6/7*b = 0. What is b?
-2, 0, 1
What is a in -19 + 8 - 3*a**3 + 39*a + 41 + 6*a**2 = 0?
-2, -1, 5
Let a(x) be the first derivative of -x**3/27 - 65*x**2/9 - 4225*x/9 - 362. Factor a(j).
-(j + 65)**2/9
Let l(i) be the third derivative of -3*i**7/700 - 2*i**6/25 - 26*i**5/75 - 8*i**4/15 - 663*i**2. Suppose l(v) = 0. Calculate v.
-8, -4/3, 0
Suppose 35 = 10*t + 15. Factor -1/3*n**t + 0 - 1/3*n**3 + 0*n.
-n**2*(n + 1)/3
Let a(o) be the third derivative of o**8/4480 - o**7/560 + o**5/20 + 5*o**4/4 + 14*o**2. Let u(f) be the second derivative of a(f). What is y in u(y) = 0?
-1, 2
Determine x, given that 2/5*x**5 - 98/5*x**3 - 28*x**2 + 72/5*x + 176/5 - 12/5*x**4 = 0.
-2, 1, 11
Let b(a) = -6*a**3 + 8*a**2 - 14*a - 108. Let t(h) = h**3 - h**2 + 15. Let r(x) = b(x) + 8*t(x). Factor r(m).
2*(m - 2)*(m - 1)*(m + 3)
Let d be (-12)/(-30) - 42/5. Let j be (-4)/(-12) - (d/6)/4. Solve 0*t**2 + 1/3*t**5 + 1/3*t + 0 + 0*t**4 - j*t**3 = 0.
-1, 0, 1
Factor 33 + 21*f**2 + 105/2*f + 3/2*f**3.
3*(f + 1)*(f + 2)*(f + 11)/2
Suppose 40 = 3*t + 13. Suppose 1195*n**4 + n**3 - 16*n**2 - 1187*n**4 + 4*n - t*n**3 + 4*n**5 + 8 = 0. What is n?
-2, -1, 1
Let n be 5/(-3)*(-162)/45. Let x be 2/9 + n/27. Determine y, given that 2/9*y**2 - 2/9*y - x = 0.
-1, 2
Let u(l) be the third derivative of -9*l**2 + 11/9*l**3 - 1/180*l**6 + 0 + 1/10*l**5 + 7/12*l**4 + 0*l. Factor u(f).
-2*(f - 11)*(f + 1)**2/3
Let i = 3237 - 3237. Let s be (-2)/(-9) - (-56)/18. Factor 0*x - 4/3*x**2 + i + s*x**3.
2*x**2*(5*x - 2)/3
Suppose -3/4*u**3 + 21/8*u - 3/8*u**2 + 9/4 = 0. What is u?
-3/2, -1, 2
Let b(z) be the first derivative of -4*z + 4*z**2 - 20 - 4/3*z**3. Factor b(v).
-4*(v - 1)**2
Let v be (-2991)/13958*14/(-9). Factor 169*g + 2197/3 + 13*g**2 + v*g**3.
(g + 13)**3/3
Determine n, given that 105*n + 276*n - 302*n**2 - 33*n**2 - 140*n**3 + 19*n - 60*n**2 + 75*n**4 + 60 = 0.
-2, -2/15, 1, 3
Let f(i) be the third derivative of i**6/15 - i**5/15 + 4*i**4/3 - 32*i**2. Let w(m) = 23*m**3 - 14*m**2 + 96*m. Let o(r) = 17*f(r) - 6*w(r). Factor o(c).
-2*c*(c - 4)**2
Let p be -10 - (4346/(-636))/(4/6). Factor 1/4*g - 1/4*g**2 - p*g**3 + 1/4.
-(g - 1)*(g + 1)**2/4
Let h(k) be the third derivative of -k**5/240 + 5*k**4/24 - 19*k**3/24 - 13*k**2 - 2. Find v such that h(v) = 0.
1, 19
Let q(i) be the first derivative of -25/6*i**2 + 5/3*i**3 - 10/3*i - 3. Find t such that q(t) = 0.
-1/3, 2
Let z be -565*(-1 + 18/10). Let l = z - -5894/13. Let 0*v**2 + l*v**4 + 4/13*v**3 + 0 + 14/13*v**5 + 0*v = 0. What is v?
-1, -2/7, 0
Let r(i) = 2*i**4 - 3*i**3 + 5*i**2 - 3*i - 7. Let s(j) = -3*j**4 + 4*j*