)/(-6) - -1))*10/4. Let z + 0*h - 5/3*h**2 = 0. What is h?
-1, 1
Suppose 0 = -74*r + 864 - 50. Let y(x) be the first derivative of 1/6*x**3 + 1/2*x**2 + r + 0*x. Factor y(t).
t*(t + 2)/2
Let i(s) = -7*s**3 + s**2 + 8*s + 11. Let f(g) be the second derivative of -g**4/12 - g**3/6 - g**2/2 - 15*g. Let p(v) = -44*f(v) - 4*i(v). Factor p(l).
4*l*(l + 1)*(7*l + 3)
Let f(j) be the first derivative of 49/4*j**5 + 10/3*j**3 + 0*j**2 - 8*j + 3 - 35/3*j**4. Let m(y) be the first derivative of f(y). Factor m(v).
5*v*(7*v - 2)**2
Let d(m) be the second derivative of 0 - 5/42*m**7 - 5/6*m**6 - 5/3*m**3 - 9/4*m**5 + 0*m**2 + 15*m - 35/12*m**4. Factor d(p).
-5*p*(p + 1)**3*(p + 2)
Let b be (-76)/798 + 25/42. Find k such that -3/4 + 1/4*k**2 + b*k = 0.
-3, 1
Let t = -41 - -45. Factor 8*x + 3*x**2 - 4*x - x**2 + t - 2.
2*(x + 1)**2
Let -32/9*g**4 - 168194/9*g**2 - 10658/9 - 1552/3*g**3 + 28324/3*g = 0. What is g?
-73, 1/4
Let w(k) = -2*k**2 + 32*k + 15. Let z be w(16). Suppose -z*q**2 + 12*q**3 - 4*q**5 + 33*q**2 + q - 9*q - 4*q**4 - 14*q**2 = 0. What is q?
-2, -1, 0, 1
Let v(f) be the second derivative of 0*f**2 + 0 + 0*f**4 - 1/20*f**5 + 0*f**3 - 12*f. Solve v(d) = 0.
0
Find c, given that 2/7*c + 0 - 2/7*c**2 = 0.
0, 1
Let b(c) be the first derivative of -5*c**4/4 + 5*c**3 + 45*c**2/2 + 25*c + 72. Factor b(i).
-5*(i - 5)*(i + 1)**2
Let v(a) = -12*a**4 + 12*a**3 + 86*a**2 - 14. Let x(p) = -4*p**4 + 4*p**3 + 29*p**2 - 5. Let b(f) = -5*v(f) + 14*x(f). Factor b(z).
4*z**2*(z - 3)*(z + 2)
Suppose -140 = -35*i - 70. Find a, given that 0 + 10/11*a**4 + 4/11*a**3 - 10/11*a**i - 4/11*a = 0.
-1, -2/5, 0, 1
Let c(k) = -k**3 - k**2 + 1. Let y(h) = -2*h**2 - 10*h + 1. Let b be y(-5). Let q(d) = 5*d**3 + 5*d**2 - 15*d + 7. Let i(n) = b*q(n) + 2*c(n). Factor i(v).
3*(v - 1)**2*(v + 3)
Let m(j) = j**3 + 66*j**2 + 191*j + 128. Let d be m(-63). Determine x so that 4/3*x**3 + 0*x**d - 2/3 - 4/3*x + 2/3*x**4 = 0.
-1, 1
Let k(x) = -x**4 - 111*x**3 - 201*x**2 + 9737*x - 36873. Let u(s) = -28*s**3 - 50*s**2 + 2434*s - 9218. Let a(r) = -4*k(r) + 18*u(r). What is t in a(t) = 0?
-9, 8
Suppose 2*r - 2*p - 104 = -4*p, -p - 152 = -3*r. Suppose -3*z - 12 + r = 0. Factor z - 12*l - 17 - 2*l**2 + 12*l**3 + 6*l**2.
4*(l - 1)*(l + 1)*(3*l + 1)
Determine t, given that 0*t + 0 + t**3 + t**4 + 1/3*t**5 + 1/3*t**2 = 0.
-1, 0
Suppose 256/5 + 28/5*o**4 - 256/5*o + 56/5*o**3 - 48*o**2 - 6/5*o**5 = 0. What is o?
-2, 2/3, 4
Factor 0 - o**4 + 3/4*o**2 + 0*o**3 - 1/4*o.
-o*(o + 1)*(2*o - 1)**2/4
Factor 3/7*j**3 - 174/7*j**2 + 5400/7 + 2340/7*j.
3*(j - 30)**2*(j + 2)/7
Let y(a) = -a**4 - 2*a**3 - 4*a**2 - 2*a - 1. Let v(c) = c**4 + c**3 + c**2 + c + 1. Let q(l) = -2*v(l) - y(l). Solve q(f) = 0.
-1, 1
Let k(a) be the second derivative of a**4/48 - a**3/6 - 3*a**2/2 - 920*a. Let k(c) = 0. What is c?
-2, 6
Let c(y) be the first derivative of -1/9*y**4 + 13*y - 2/9*y**2 - 2/9*y**3 + 15 - 1/45*y**5. Let w(o) be the first derivative of c(o). Factor w(g).
-4*(g + 1)**3/9
Suppose -70 + 212/3*r - 2/3*r**2 = 0. Calculate r.
1, 105
Suppose 4624 = 15*q + q. Let w = 1449/5 - q. Let w + 12/5*v**2 + 4/5*v**3 + 12/5*v = 0. Calculate v.
-1
Suppose k = -4*g - 207, 203 = -4*g - 0*k - 5*k. Let o be (g/165 + 6/33)*-5. Let o - 14/3*h**3 + 2*h**4 - 3*h + 16/3*h**2 - 1/3*h**5 = 0. Calculate h.
1, 2
Let p(w) be the third derivative of -w**6/40 - w**5/4 - 7*w**4/8 - 3*w**3/2 + 317*w**2. Solve p(x) = 0.
-3, -1
Let v(p) be the first derivative of 1/8*p**3 - 3/80*p**5 + 3/8*p**2 + 9 + p - 1/16*p**4. Let t(i) be the first derivative of v(i). Find l, given that t(l) = 0.
-1, 1
Suppose -4/9*u**2 + 0 + 0*u - 2/9*u**4 - 2/3*u**3 = 0. Calculate u.
-2, -1, 0
Let l(n) be the third derivative of n**7/210 - n**6/15 + 13*n**5/60 - n**4/4 + n**2 - 98*n. Determine d, given that l(d) = 0.
0, 1, 6
Let z be 12/(-108) + (20/18)/5. Let k(x) be the first derivative of z*x**4 - 2 + 2/45*x**5 - 2/9*x**2 - 2/9*x + 0*x**3. Let k(d) = 0. What is d?
-1, 1
Factor 7*j + 1/2*j**2 + 33/2.
(j + 3)*(j + 11)/2
Let q(u) be the first derivative of 2*u**6/3 + 4*u**5 + 9*u**4 + 28*u**3/3 + 4*u**2 + 116. Factor q(y).
4*y*(y + 1)**3*(y + 2)
Let a(n) be the third derivative of -1/210*n**5 + 0*n**4 + 0 - 1/105*n**6 - 12*n**2 - 4/735*n**7 + 0*n + 0*n**3. Factor a(c).
-2*c**2*(2*c + 1)**2/7
Let d(z) be the first derivative of -2/3*z**4 - 4/9*z**3 + 4/3*z**2 - 7 + 4/3*z. Find v, given that d(v) = 0.
-1, -1/2, 1
Suppose j - 4 = -3*j. Suppose 7*y - j = 4*y + u, 30 = 5*y + 4*u. Let 7/2*f**2 - 1/2 - y*f**3 - f = 0. Calculate f.
-1/4, 1
Let r(y) = -2*y**2 + 34*y + 48. Let u(z) = -12*z + 2. Let l be u(-1). Let q(w) = -w**2 + 11*w + 16. Let k(v) = l*q(v) - 5*r(v). Let k(a) = 0. Calculate a.
-2
Solve -183/2*i + 9/2*i**2 - 63 = 0.
-2/3, 21
Solve -71/2*t - 17*t**2 - 18 + 1/2*t**3 = 0 for t.
-1, 36
Factor -942*c + 1290*c + 1412*c + 4*c**3 - 1600 - 164*c**2.
4*(c - 20)**2*(c - 1)
Let y be (-20 + 16)/((-112)/21). What is h in 3/2 + y*h**2 - 9/4*h = 0?
1, 2
Let c be 1*((0 - -8) + -5). Suppose 0 = -m + p + 4 - 0, 0 = c*p + 3. Solve -1/2*l**2 + 5/8*l - 1/4 + 1/8*l**m = 0.
1, 2
Let g be -5 + 12 + 3 + (2 - 0). Suppose -3*c = -0*c - g. Solve 3*q**3 - 21/4*q**5 + 9*q**c - 21/2*q**2 + 3/2 + 9/4*q = 0.
-1, -2/7, 1
Let j = 9/121 - 203/4356. Let k(d) be the second derivative of -8*d + 0*d**2 - 2/9*d**3 - j*d**4 + 0. Factor k(i).
-i*(i + 4)/3
Let n(c) be the third derivative of c**6/780 - c**5/130 + c**4/52 - c**3/39 - c**2 - 28*c. Factor n(r).
2*(r - 1)**3/13
Suppose 0 = 4*a - 5*d - 29, 2 = 3*d + 17. Factor a + 81*f**3 + 17 + 2 - f**3 + 15*f**4 + 145*f**2 + 100*f.
5*(f + 1)*(f + 2)**2*(3*f + 1)
Suppose -2*l + 4*f = 12, -17*l = -13*l - f + 3. Factor 6*k**4 + 3/2*k**2 - 15/2*k**3 + l*k + 0.
3*k**2*(k - 1)*(4*k - 1)/2
Let w(p) be the second derivative of p**6/240 + p**5/120 - p**4/24 - 7*p**2/2 + 10*p. Let u(x) be the first derivative of w(x). Suppose u(a) = 0. What is a?
-2, 0, 1
Let l(o) be the first derivative of o**5/5 - 3*o**4/2 - 5*o**3 + 50*o**2 + 57. Factor l(g).
g*(g - 5)**2*(g + 4)
Let b(o) be the third derivative of 5*o**6/24 + o**5 + 15*o**4/8 + 5*o**3/3 - 9*o**2 - 5. Solve b(i) = 0 for i.
-1, -2/5
Let w be (8/12*-1)/((-3)/9). Let -571*r**2 + 1 + 2 + w*r + 570*r**2 = 0. Calculate r.
-1, 3
Let z(b) be the second derivative of b**4/4 + 51*b**3 + 7803*b**2/2 - 12*b - 2. Let z(v) = 0. What is v?
-51
Let y(q) be the second derivative of q**8/840 - q**6/180 + q**3 + 26*q. Let x(p) be the second derivative of y(p). Suppose x(c) = 0. Calculate c.
-1, 0, 1
Factor 238978 + 468*j**2 + 202114 - 24336*j - 3*j**3 + 35462 - 94053 + 39323.
-3*(j - 52)**3
Let i = -204 - -208. Let s(k) be the first derivative of 2/15*k**3 + 0*k - 2 + 1/25*k**5 - 3/20*k**i + 0*k**2. Find t such that s(t) = 0.
0, 1, 2
Suppose -l - 360*s + 362*s = 10, -5*l + 34 = 4*s. Find h such that 3*h - 2/3 + 5/3*h**l = 0.
-2, 1/5
Let o(a) be the third derivative of -5*a**8/336 + 2*a**7/21 - 5*a**5/6 + 5*a**4/24 + 5*a**3 - a**2 - 393*a. Determine c so that o(c) = 0.
-1, 1, 2, 3
Suppose -24 = -3*v + 6. Let v*h + 14 - 26 + 17 + 5*h**2 = 0. What is h?
-1
Let h(s) be the second derivative of -s**5/5 + 8*s**4/15 - 2*s**3/15 - 4*s**2/5 + 2*s + 56. Factor h(n).
-4*(n - 1)**2*(5*n + 2)/5
Let g = 1764 - 1764. Let 0*r**2 - r**4 + 1/2*r**5 + g*r - 3/2*r**3 + 0 = 0. Calculate r.
-1, 0, 3
Let t(j) = 14*j**2 + j. Let a be t(1). Suppose 3*c + 6 = a. Factor -c - 2*i**4 + 2*i**5 - i**3 + 3 - 3*i**5.
-i**3*(i + 1)**2
Factor 0*x + 9/2*x**2 + 21/8*x**4 + 0 - 3/8*x**5 - 6*x**3.
-3*x**2*(x - 3)*(x - 2)**2/8
Determine t so that 6*t**3 - t**4 - 704*t - 31*t**3 - 432 - 80 - 216*t**2 = 0.
-8, -1
Suppose 0 = -2*y + 1 + 5, 3*y - 9 = 4*g. Let q(o) be the first derivative of -4*o + 4/3*o**3 + 7 + g*o**2. Factor q(z).
4*(z - 1)*(z + 1)
Let r = 148 - 127. Let v be (-44)/(-66) - ((-88)/r + 0). Let -54/7*u**4 + 18*u**3 + v*u - 4/7 - 102/7*u**2 = 0. Calculate u.
1/3, 2/3, 1
Let k be (-1 - (-6 + 4))*(5 + 1). Let j be (1/(-6) + 1/k)/1. Factor j - 1/8*l**4 + 0*l - 1/4*l**3 - 1/8*l**2.
-l**2*(l + 1)**2/8
Let u be 2*(-26)/80 + 15*1/12. Let u*f**4 + 12/5*f**3 + 12/5*f**2 + 0 + 0*f = 0. Calculate f.
-2, 0
Let q be 0*((-12)/(-66))/(5/((-110)/(-8))). Determine j, given that 0*j**2 + 2/5*j**5 + q*j + 0 + 4/5*j**3 - 6/5*j**4 = 0.
0, 1, 2
Let z(b) be the second derivative of 1/6*