a**3/27 + 2*a**2/3 - 26. Find y such that s(y) = 0.
-2, -1, 0, 3
Let q(w) be the third derivative of 1/2*w**3 + 0 - 1/3*w**4 + 1/10*w**5 - 1/210*w**7 + 0*w - 10*w**2 + 0*w**6. Suppose q(l) = 0. Calculate l.
-3, 1
Suppose f = t + 11, t - 41 = -3*f + 6*t. Let z(r) be the first derivative of r - r**2 + 1/3*r**3 + f. Find b, given that z(b) = 0.
1
Let v(y) be the third derivative of y**9/40320 - y**7/2240 + y**6/960 - y**4/24 - 4*y**2. Let f(x) be the second derivative of v(x). Solve f(s) = 0 for s.
-2, 0, 1
Let g(b) = 28*b**2 + 161*b + 138. Let v(p) = 15*p**2 + 81*p + 69. Let r(i) = 3*g(i) - 5*v(i). Factor r(q).
3*(q + 1)*(3*q + 23)
Factor -43*n**3 - 4*n**4 + n**5 + 7*n + 3*n**5 - 4 + 83*n**3 - 48*n**3 + 8*n**2 - 3*n.
4*(n - 1)**3*(n + 1)**2
Let s be (-2)/(-8) + 77/28. Find r, given that -3*r - 29*r**s + 20*r**3 - 24*r**2 + 6 - 6*r = 0.
-2, -1, 1/3
What is x in 7/4*x**3 - 1/4*x**4 - 7/4*x + 5/2 - 9/4*x**2 = 0?
-1, 1, 2, 5
Let d(x) = x - 4. Let g be d(6). Let o be (-2 + -8 + 4)/(9/(45/(-10))). Factor 2/11*l**g + 0*l + 0 + 2/11*l**o.
2*l**2*(l + 1)/11
Let n(s) = s**3 + s + 2. Let b be n(0). Suppose -4*r = -b*x - 1 + 11, 2*r + 8 = 2*x. What is a in -5 + 0*a**2 + 4*a**2 - 4*a + 1 + a**3 + 3*a**x = 0?
-1, 1
Suppose 2*o = -2, -65 = 3*a - 4*a - 4*o. Factor -2*y**3 + a - 40*y + 25*y**2 - 3*y**3 - 49.
-5*(y - 2)**2*(y - 1)
Let q(r) be the second derivative of -r**4/30 + 2*r**3/15 + 136*r. Suppose q(t) = 0. Calculate t.
0, 2
Let m(d) be the second derivative of 1/84*d**4 + 0 - 16*d + 4/21*d**3 + 8/7*d**2. Factor m(n).
(n + 4)**2/7
Let u(n) be the first derivative of -n**7/1008 + n**6/216 - 3*n**3 + 10. Let y(i) be the third derivative of u(i). Let y(h) = 0. What is h?
0, 2
Let n(j) be the second derivative of -j**6/10 + 3*j**5/20 + 5*j**4/2 + 4*j**3 + 2*j + 121. Determine k, given that n(k) = 0.
-2, -1, 0, 4
Let v(a) be the second derivative of 0 - 2/3*a**2 - 1/2*a**5 + 14/9*a**4 - 11/9*a**3 - 3*a. Factor v(w).
-2*(w - 1)**2*(15*w + 2)/3
Find k such that 12*k**4 + 42 - 85*k - 33*k + 195*k**3 - 54*k**2 - 47*k - 30*k**3 = 0.
-14, -1, 1/4, 1
Let o be 8/24*(0 - 0)*-1. Suppose o = -3*i - 4*i + 2*i. Find w such that i + 1/2*w + 1/4*w**3 - 3/4*w**2 = 0.
0, 1, 2
Suppose -4*h + 2*x + 18 = 0, -4*h + 3*x + 22 = 1. Find q, given that -3*q + 23*q**2 + 3*q + 36*q**h - 35*q**2 + 21*q**4 = 0.
-2, 0, 2/7
Let a be 6*((-8)/6 - -1). Let z be (11 - 9)/(a/(-5)). Determine v, given that 6*v**4 - 2*v**5 + v - 5*v + z*v**5 - 6*v**2 + v = 0.
-1, 0, 1
Let r be (-42 + 46)*(82/40 + -2). Let s(o) be the first derivative of -1/3*o**3 + 0*o**2 - 2 + 0*o + 0*o**4 + r*o**5. Find v such that s(v) = 0.
-1, 0, 1
Let u(m) = -m**3 - m + 1. Let p(b) = 3*b**4 + 8*b**3 - 15*b**2 + 14*b - 5. Let i(t) = p(t) + 5*u(t). Determine x so that i(x) = 0.
-3, 0, 1
Determine j, given that -165/2*j**3 + 105/2*j**2 + 9 - 63/2*j**4 + 105/2*j = 0.
-3, -1/3, -2/7, 1
Suppose 19*t - 34*t - 24*t = -117. Find l such that -36/7*l - 18/7*l**2 - 3/7*l**t - 24/7 = 0.
-2
Let u = 138 - 52. Suppose u*m = 84*m + 4. Factor -2/5*n**3 + 0*n + 4/5*n**m + 0.
-2*n**2*(n - 2)/5
Let z be (1 + -2 - 0)*-9. Let m = 31 + -27. Suppose -3*i**3 - 9*i**2 + 2*i + 2*i**3 + z*i**m - i**3 = 0. What is i?
-1, 0, 2/9, 1
Let b = 1215 - 1215. Let b + 0*o**2 - 1/2*o**3 + 0*o + 1/2*o**4 = 0. Calculate o.
0, 1
Solve -57*q**4 - 8 - 10*q**3 + 95*q**3 + 26*q**2 - 21*q**2 + 9*q**5 - 34*q = 0 for q.
-1/3, 1, 2, 4
Let p(y) be the second derivative of 0 - 9/7*y**7 + 0*y**3 + 10*y - 3/5*y**6 - 3/40*y**5 + 0*y**2 + 0*y**4. What is s in p(s) = 0?
-1/6, 0
Let o be -4*4 - 9*5/(-15). Let i be 12/90*o - -2. Find s such that -4/15*s - 8/15*s**2 + 2/15*s**4 + i*s**3 + 2/5 = 0.
-3, -1, 1
Let f(k) be the third derivative of k**8/168 + k**7/35 - 2*k**5/15 + 82*k**2. Factor f(c).
2*c**2*(c - 1)*(c + 2)**2
Let c = 55 + -40. Let f = -72/5 + c. Let 3/5*j**2 - f*j**4 + 12/5 - 3*j**3 + 3/5*j**5 + 24/5*j = 0. Calculate j.
-1, 2
Let f(b) be the second derivative of b**8/5880 + b**7/735 - b**6/252 + 5*b**3/3 + 22*b. Let x(c) be the second derivative of f(c). Factor x(m).
2*m**2*(m - 1)*(m + 5)/7
Factor -22*z**2 + 45*z**2 - 6*z**2 - 258*z - 255 - 20*z**2.
-3*(z + 1)*(z + 85)
Let p be ((-232)/(-24) + -7)/((-12)/(-6)). Factor p*f**3 + 0*f + 0 - 8/9*f**2 - 4/9*f**4.
-4*f**2*(f - 2)*(f - 1)/9
Let v(l) = -7*l**2 + 13*l + 84. Let b(r) = 4*r**2 - 7*r - 44. Let q(x) = 5*b(x) + 3*v(x). Factor q(p).
-(p - 8)*(p + 4)
Let a(j) be the first derivative of j**5/210 - j**4/28 + 2*j**3/21 - j**2 - 5. Let m(g) be the second derivative of a(g). Factor m(p).
2*(p - 2)*(p - 1)/7
Suppose -65*m = -51*m - 28. Let v(a) be the first derivative of -6 + 0*a - 1/3*a**3 + 3/2*a**m. Factor v(y).
-y*(y - 3)
Let f(v) = -v + 20. Let z be f(20). Let o(i) be the third derivative of -1/24*i**4 + z*i**3 - 5*i**2 + 1/120*i**5 + 0 + 0*i. Factor o(q).
q*(q - 2)/2
Let j(l) be the first derivative of 3*l**5/5 - 27*l**4/2 - l**3 + 27*l**2 + 28. Determine t, given that j(t) = 0.
-1, 0, 1, 18
Let h(l) = l**2 - l. Let a be (-6)/(-3)*(-6)/(-4). Let u(o) = -8*o - 6*o**2 + a*o - o + 2 + o**2. Let v(k) = h(k) + u(k). Factor v(s).
-(s + 2)*(4*s - 1)
Let y be (-16)/(-64) - 30/(-8). Suppose c - 15 = -y*c. Let -4*g**4 + 0*g**4 + 3*g**4 + g**c + 0*g**4 = 0. Calculate g.
0, 1
Factor 2*u**4 + 20 - 16*u + 2*u**4 - 36*u**2 + 11 + 17.
4*(u - 3)*(u - 1)*(u + 2)**2
Let k(q) be the third derivative of 18*q**2 - 4/315*q**5 + 0*q - 1/2205*q**7 - 1/252*q**6 + 0 - 1/63*q**4 + 0*q**3. Factor k(o).
-2*o*(o + 1)*(o + 2)**2/21
Suppose -8/7*a**2 - 8/7*a + 0 + 2/7*a**4 + 2/7*a**3 = 0. What is a?
-2, -1, 0, 2
Let y be (-6424)/511 + (-26)/(-2). Solve 0*j - 1/7*j**3 - y*j**4 + 4/7*j**5 + 0 + 0*j**2 = 0.
-1/4, 0, 1
Let d(m) be the first derivative of -m**8/1680 - m**7/525 - m**6/600 + 3*m**2/2 + 8. Let a(r) be the second derivative of d(r). Suppose a(l) = 0. What is l?
-1, 0
Suppose 0*a - 4*a**4 - 274*a**3 - 16*a + 127*a**3 + 123*a**3 - 36*a**2 = 0. Calculate a.
-4, -1, 0
Suppose -4 = o - 3*b, 5*o = -5*b + 70 - 10. Factor -111*h**3 - 18*h**2 + 27*h**4 + 118*h**2 - 40*h + o*h**4 - 5*h**5 + 21*h**3.
-5*h*(h - 2)**3*(h - 1)
Let y(k) be the third derivative of 0*k + 19*k**2 - 7/390*k**5 + 16/39*k**3 + 2/39*k**4 + 1/780*k**6 + 0. Factor y(w).
2*(w - 4)**2*(w + 1)/13
Suppose -4 = -5*p + 6, -2*p - 8 = -2*n. Let i be 72/24 - 2/n. Factor -2/3 - i*m**4 + 10/3*m**2 + 5/3*m**5 - 1/3*m - 4/3*m**3.
(m - 1)**3*(m + 1)*(5*m + 2)/3
Suppose -5*w = -f + 1, -f + 0*f - 3*w + 9 = 0. Let v(a) be the first derivative of -12*a - 6*a**2 - 2 + 5 - a**3 - 4 - f. Factor v(r).
-3*(r + 2)**2
Suppose 0 = 2*b - 71 + 27. Let s = b + -22. Let -19*n - 20 - 25*n**4 - n + 75*n**2 - 10*n**3 + s*n**4 = 0. What is n?
-2, -2/5, 1
Factor 1/4*j + 0 - 1/8*j**2.
-j*(j - 2)/8
Let q be (7 + 102/(-18))*(-9)/(-6). Factor 2/3*l + 0 + 2/9*l**3 - 8/9*l**q.
2*l*(l - 3)*(l - 1)/9
Suppose 0 + 0*z + 30/11*z**2 - 6/11*z**3 = 0. What is z?
0, 5
Suppose 3*v - 4*h - 23 = -2*v, 4*h = -5*v + 7. Let w(z) be the first derivative of 3*z + z + z**4 - z**3 + 5 + 6*z**2 - z**3 + 6*z**v. Factor w(i).
4*(i + 1)**3
Let u(j) = 60*j**3 + 625*j**2 - 85*j - 575. Let r(b) = 5*b**3 + 52*b**2 - 7*b - 48. Let o = 64 + -39. Let w(n) = o*r(n) - 2*u(n). Factor w(y).
5*(y - 1)*(y + 1)*(y + 10)
Let x be (0 + (-6)/(-9))/((-14)/(-105)). Let -3*t**2 + 2*t**5 - 5*t**x - 9*t**4 + 0*t**2 + 15*t**2 = 0. What is t?
-2, 0, 1
Let n = -27 - -7. Let t be (n/9 - -2) + (-4)/(-18). Suppose l**3 - 4/3*l + 1/6*l**5 + 5/6*l**4 + t - 2/3*l**2 = 0. What is l?
-2, 0, 1
Let t be 660/50 - (-10)/(-1). Find c such that -32/5*c - 24/5*c**2 - t - 8/5*c**3 - 1/5*c**4 = 0.
-2
Let l(d) = d**2 + 2*d - 63. Let t be 6/12*-2*9. Let h be l(t). Factor h + 2/5*j - 2/5*j**2.
-2*j*(j - 1)/5
What is u in -4*u**3 + 99*u**2 + 44*u + u**3 - 59*u**2 - u**3 = 0?
-1, 0, 11
Let w(t) be the second derivative of -t**4/18 + t**3/3 + 6*t**2 - 30*t - 3. Factor w(d).
-2*(d - 6)*(d + 3)/3
Let m be 1/(((-12)/32)/(-3)). Let w = -6 + m. Factor -4 + 4*b + 6 - 55*b**w + 57*b**2.
2*(b + 1)**2
Suppose -5*o + 4*r = -52, -o + 4*r + 10 = -10. Suppose 7 = o*p + 7. Factor -2/7*k**3 + 2/7*k + 0*k**2 + p.
-2*k*(k - 1)*(k + 1)/7
Let d = -4924 + 4927. Determine z, given that 2/11*z**4 - 10/11*z**2 - 6/11*z + 0 - 2/11*z**d = 0.
-1, 0, 3
Let j(r) be the third derivative of r**8/840 - r**6/30 - 2*r**5/15 -