**3 + 0*a**4 - 15*a + 5/2*a**2. Factor w(o).
-5*(o - 1)**3*(o + 1)
Let t be -21 + (15 - (-33)/5). Let o = -32 - -34. What is a in 0 + 3/5*a - t*a**o = 0?
0, 1
Let o(l) be the second derivative of 5*l**7/42 - 37*l**6/3 + 145*l**5/4 - 30*l**4 + 2*l + 77. Determine y so that o(y) = 0.
0, 1, 72
Let c(q) be the second derivative of -q**9/52920 + q**8/5880 + q**7/1764 + 17*q**4/4 - 8*q + 9. Let h(f) be the third derivative of c(f). Factor h(b).
-2*b**2*(b - 5)*(b + 1)/7
Let h be 12/24 + 80/864. Let a(f) be the second derivative of -4/3*f**2 + 1/30*f**5 + 0 + 12*f + 5/54*f**4 - h*f**3. Determine b so that a(b) = 0.
-3, -2/3, 2
Let l(q) be the third derivative of 0 - 8/33*q**3 + 0*q + 7/330*q**5 + 1/1155*q**7 + 3/44*q**4 - 85*q**2 - 3/220*q**6. Determine v so that l(v) = 0.
-1, 1, 8
Suppose 11*o - 536 = 2335. Suppose -o*g**3 - 10*g**4 + 12*g**2 + 18*g**2 - 8 + 257*g**3 - 8*g = 0. What is g?
-2, -2/5, 1
Let b(h) be the third derivative of -h**5/150 + 149*h**4/6 - 111005*h**3/3 + 115*h**2. Factor b(n).
-2*(n - 745)**2/5
Let h(z) = 15*z**4 - 575*z**3 + 1700*z**2 - 1680*z + 555. Let i(a) = 17*a**4 - 576*a**3 + 1704*a**2 - 1682*a + 555. Let b(y) = -6*h(y) + 5*i(y). Factor b(q).
-5*(q - 111)*(q - 1)**3
Suppose 11*h - 108 = -86. Factor -14 - 34 - 18*c**h + 37*c**2 - 30*c - 22*c**2.
-3*(c + 2)*(c + 8)
Let z(l) be the third derivative of -8*l**2 + 2/39*l**3 + 0 + 5/156*l**4 + 1/130*l**5 + 0*l. Factor z(v).
2*(v + 1)*(3*v + 2)/13
Factor -6*t - 898*t**3 + 29*t**2 - 63*t**2 + 870*t**3.
-2*t*(t + 1)*(14*t + 3)
Find o such that 10*o + 70*o + 63*o + 21*o + 108 + 3*o**2 = 0.
-54, -2/3
Let v(m) be the first derivative of 2*m**6/15 + m**5/5 - m**4 - 10*m**3/3 - 4*m**2 - 13*m + 13. Let w(a) be the first derivative of v(a). Factor w(b).
4*(b - 2)*(b + 1)**3
Let o(q) be the third derivative of q**8/336 + 8*q**7/105 + 23*q**6/30 + 56*q**5/15 + 8*q**4 - 2*q**2. Let o(d) = 0. What is d?
-6, -4, -2, 0
Suppose -v = -13*v + 156. Suppose 0*y = 4*y + 2*p - 14, 3*y - v = -4*p. Solve -3/4*d**y + 0 + 9/4*d**2 - 3/2*d = 0 for d.
0, 1, 2
Suppose -2*f + 17*s + 16 = 21*s, -2*s + 16 = 3*f. Determine g so that -84 - 3*g**3 - 12*g**3 - f*g**4 + 7*g**4 + 6*g**2 + 60*g + 12 + 0*g**3 = 0.
-2, 2, 3
Let r be ((-16)/(-40))/((-2)/15*39/(-52)). Let m(s) be the third derivative of 0*s + 5/8*s**r + 0*s**5 - 1/24*s**6 - 16*s**2 - 5/3*s**3 + 0. Factor m(x).
-5*(x - 1)**2*(x + 2)
Let t(d) be the third derivative of d**5/180 + 863*d**4/9 + 5958152*d**3/9 + 13*d**2 - 369. Determine s so that t(s) = 0.
-3452
Let g(i) be the second derivative of i**5/20 - 5*i**4/8 - 3*i**3 + 47*i**2/2 + 53*i. Let l(n) be the first derivative of g(n). Factor l(b).
3*(b - 6)*(b + 1)
Let x(s) = s**4 + 789*s**3 - 462*s**2 - 312*s + 8. Let m(q) = 526*q**3 - 308*q**2 - 208*q + 5. Let t(y) = -8*m(y) + 5*x(y). Factor t(w).
w*(w - 52)*(w - 1)*(5*w + 2)
Let x(m) be the third derivative of -m**5/20 - 29*m**4/8 + 15*m**3 + 3*m**2 - 304. Factor x(i).
-3*(i - 1)*(i + 30)
Suppose 183 = 4*i - 5*l, 2*i + 120 = 5*i + 2*l. Factor 29*s**3 + i*s**3 + 2*s**2 - 2*s**4 - 69*s**3 - 2*s.
-2*s*(s - 1)**2*(s + 1)
Let d(c) be the second derivative of -c**4/12 + 749*c**3/3 + 1499*c**2/2 - 477*c + 2. Find k such that d(k) = 0.
-1, 1499
Let s(u) be the second derivative of u**5/30 + u**4/6 - 29*u**2/2 + 75*u + 2. Let i(h) be the first derivative of s(h). Factor i(o).
2*o*(o + 2)
Let g(i) be the second derivative of i**7/56 + i**6/4 + 9*i**5/8 + 5*i**4/4 - 31*i**3/8 - 45*i**2/4 + 1812*i. Suppose g(m) = 0. Calculate m.
-5, -3, -2, -1, 1
Let d(u) = -u**4 + u**3 - u**2 + u + 1. Let l = 45 - 40. Let i(z) = 4*z**4 - 3*z**3 + 9*z**2 - 13*z - 5. Let y(w) = l*d(w) + i(w). Factor y(a).
-a*(a - 2)**2*(a + 2)
Let t(s) = -s**3 - 2. Let l(u) be the third derivative of u**6/30 + 11*u**5/60 - 35*u**4/24 + 35*u**3/6 - 13*u**2 - 3. Let c(p) = 4*l(p) + 20*t(p). Factor c(o).
-4*(o - 5)**2*(o - 1)
What is m in 46/5*m + 0 - 1/5*m**5 - 5*m**4 - 9*m**3 + 5*m**2 = 0?
-23, -2, -1, 0, 1
Determine v so that -148*v**4 + 704*v**3 - 2288*v**2 + 768*v**3 + 0*v**3 - 128*v = 0.
-2/37, 0, 2, 8
Suppose i + 2*x = -34, 146 = -8*i + 4*i + 2*x. Let v = -34 - i. Factor 69*g**3 - 21*g**4 + 12*g - 11 - 11 + 22 - 60*g**v.
-3*g*(g - 2)*(g - 1)*(7*g - 2)
Let w be (((-5069)/111)/137)/(1 - 4). Solve -j + 20/9 + w*j**2 = 0 for j.
4, 5
Let w(r) = 64 - r**3 + 50 - r - 113 + 3*r**2. Let h(g) = -325*g**2 + 660*g - 325. Let a(k) = h(k) - 5*w(k). Factor a(x).
5*(x - 66)*(x - 1)**2
Solve 85*l**3 - 16 - 36*l**3 - 11*l - l**4 + 26 - 38*l**3 - 9*l**2 = 0 for l.
-1, 1, 10
Let i = 12 + -4. Let f be 3 + (4 - i) - -3. Let -24*o + 26 + 11 + 11 + 3*o**f = 0. What is o?
4
Suppose 0 - 34/9*a + 5/3*a**2 + 1/9*a**3 = 0. Calculate a.
-17, 0, 2
Let h(q) be the third derivative of q**8/168 + 46*q**7/105 + 22*q**6/15 + 4927*q**2. Factor h(s).
2*s**3*(s + 2)*(s + 44)
Let u(i) be the first derivative of i**4/6 - i**3 - 10*i**2 + 59*i - 56. Let h(z) be the first derivative of u(z). Factor h(b).
2*(b - 5)*(b + 2)
Let f be -5*(30/25)/(-2). Suppose -12 - 685*d**5 - 36*d**4 + 6*d**f + 48*d**2 + 0*d**3 - 14*d - 2*d**3 + 695*d**5 = 0. Calculate d.
-1, -2/5, 1, 3
Let l be (-1463)/(-44) + -33 - (1 + (-6)/8). Let s(q) be the third derivative of 0 + 7/6*q**4 + l*q - 39*q**2 - 1/30*q**6 - 8/3*q**3 - 2/15*q**5. Factor s(y).
-4*(y - 1)**2*(y + 4)
Let p(l) be the first derivative of l**6/3 - 2*l**5/5 - 6*l**4 - 8*l**3/3 + 16*l**2 - 501. Factor p(j).
2*j*(j - 4)*(j - 1)*(j + 2)**2
Let b be (8 + 660/(-84))/((-10)/(-35)). Let s(a) be the third derivative of 0*a + 0 + 2/15*a**6 - 7*a**2 + 0*a**3 + b*a**4 + 13/15*a**5. Factor s(x).
4*x*(x + 3)*(4*x + 1)
Let b(z) = 2*z**4 - 19*z**3 - 18*z**2 + 90*z + 18. Let m(n) = n**4 - 9*n**3 - 9*n**2 + 45*n + 8. Let i(v) = -4*b(v) + 9*m(v). What is s in i(s) = 0?
-3, 0, 3, 5
Let b(h) be the third derivative of h**8/2800 - h**7/350 + h**6/150 + 8*h**3/3 - 169*h**2. Let a(w) be the first derivative of b(w). Let a(c) = 0. What is c?
0, 2
Let s be 13 + ((-70)/(-4) + -14)/(1/(-2)). Let h(c) be the first derivative of 0*c**2 - 1/9*c**4 + 0*c + 1/27*c**s + 3 + 2/45*c**5 + 0*c**3. Factor h(f).
2*f**3*(f - 1)*(f + 2)/9
What is u in -29*u**2 - 115*u**3 - 1021*u - 6*u**4 + 161*u**2 + 341*u + 11*u**4 + 418*u**2 = 0?
0, 2, 4, 17
Let r(i) be the first derivative of 14/3*i**3 + 3/2*i**2 - 166 + 7/4*i**4 - 4/5*i**5 + 0*i. Determine t, given that r(t) = 0.
-1, -1/4, 0, 3
Let o(x) be the third derivative of x**7/315 - 13*x**6/180 + 8*x**5/15 - x**4 - 3692*x**2. Find a, given that o(a) = 0.
0, 1, 6
Let z(v) be the second derivative of -v**4/4 - 9*v**3 - 243*v**2/2 - 319*v + 1. Determine b, given that z(b) = 0.
-9
Suppose 245*c - 41100 = -1722*c + 55*c + 314532. Factor -c*x + 5766 + 3/2*x**2.
3*(x - 62)**2/2
Let f(m) be the second derivative of m**4/78 - 229*m**3/39 - 90*m**2 + 8421*m. Factor f(r).
2*(r - 234)*(r + 5)/13
Let y(w) be the second derivative of -43*w**4/15 - 347*w**3/30 - 3*w**2/5 + 2*w + 114. Factor y(q).
-(q + 2)*(172*q + 3)/5
Let q(k) be the second derivative of -k**7/42 - k**6/3 + k**5/20 + 5*k**4/6 + 12*k. Solve q(o) = 0.
-10, -1, 0, 1
Let r(x) be the second derivative of x**5/15 - 4*x**4/3 + 6*x**3 + 80*x**2/3 - 1764*x. Factor r(j).
4*(j - 8)*(j - 5)*(j + 1)/3
Let m be (-85446)/(-3030) - (-6 + 34). Factor -m*u**2 + 19/5*u - 18/5.
-(u - 18)*(u - 1)/5
Let n = -1589/246 - -1213/82. Factor -5/3*s**2 + n*s + 1/9*s**3 - 125/9.
(s - 5)**3/9
Suppose -199*i**2 - 49 + i**5 + 226*i - 21*i**2 - 31 - 17*i**4 + 157*i**3 - 7*i**2 - 60*i**3 = 0. What is i?
1, 2, 5, 8
Let b be 79/((-4424)/1386) + 25. Factor -b*z**4 - 13/4*z**2 + 2*z**3 + 0 + 3/2*z.
-z*(z - 6)*(z - 1)**2/4
Let f = -18375 + 55133/3. Factor 200/3*v + f + 1250/3*v**2.
2*(25*v + 2)**2/3
Let z(w) be the first derivative of -4*w**2 + 98 + 2*w**4 + 32*w - 21/2*w**3 - 1/10*w**5. Find c such that z(c) = 0.
-1, 1, 8
Let a(f) = -8024*f + 16050. Let b be a(2). Determine j so that -12*j - 6 - 9/2*j**b = 0.
-2, -2/3
Let q = -6/18481 + -942141/1201265. Let m = 1/65 - q. Find p such that 0 - 2/5*p**2 - m*p = 0.
-2, 0
Factor 93744*g**2 - 15 - 48*g - 93740*g**2 + 59.
4*(g - 11)*(g - 1)
Suppose -j = 1, 5*h = -4*j - 50 + 46. Suppose h = 121*i - 108*i. Let -3/8*s**2 + i - 3/8*s = 0. What is s?
-1, 0
Let t(k) = -25 - 195*k**2 + 12*k**3 - 77*k**3 - 152*k - 83*k. Let b(j) = 5*j**3 