tive of 3/4*r**2 - 20 - 4*r - 1/24*r**4 - 1/6*r**3. Let a(y) be the first derivative of w(y). Factor a(p).
-(p - 1)*(p + 3)/2
Let p be (-16)/(59840/(-1921)) - (-42)/(-280). Factor 2/11*v + 0 + 0*v**3 - 2/11*v**5 - 4/11*v**2 + p*v**4.
-2*v*(v - 1)**3*(v + 1)/11
Let j = -168 - -432. Let f = j + -264. Factor -5/2*k**2 + f - 5*k.
-5*k*(k + 2)/2
Suppose -r - 3 + 7 = 0. Suppose -5*b + r*z = -7, -4*z + 5 = -b - 0*b. Determine p, given that -5*p**b + p**2 + 25 + 55*p + 10*p**3 + 34*p**2 = 0.
-5, -1
Let t be ((4172/16)/(-7))/(91/(-5044)). Let g = t + -2063. Factor 1/7*c**4 + g*c**2 + 8/7*c + 6/7*c**3 + 0.
c*(c + 2)**3/7
Let r(g) = 122*g**2 + 2*g - 66*g**2 - 5 - 55*g**2. Let c be r(2). Factor 1/2 + 0*w**c + 0*w - w**2 + 1/2*w**4.
(w - 1)**2*(w + 1)**2/2
Let x(w) be the second derivative of 9/5*w**2 + 0 + 1/2*w**3 + 137*w + 1/20*w**4. Factor x(f).
3*(f + 2)*(f + 3)/5
Suppose 0 = -5*y + 8 + 7. Suppose -5*t = -y*t - 6. Let 2*o**2 - 3*o**2 - 9*o + 4 + 5*o + o**t = 0. What is o?
-2, 1, 2
Let d(n) be the third derivative of -7*n**6/120 - 19*n**5/90 + 23*n**4/24 - n**3 - 2*n**2 - 4*n - 1566. What is k in d(k) = 0?
-3, 1/3, 6/7
Let u(n) be the third derivative of 38*n**2 + 0 + 0*n**3 + 0*n - 1/56*n**8 + 11/60*n**6 - 8/105*n**7 + 14/15*n**5 + n**4. Solve u(a) = 0 for a.
-3, -1, -2/3, 0, 2
Let r(n) = -13*n**3 + 228*n**2 - 611*n - 76. Let w(m) = 9*m**3 - 152*m**2 + 405*m + 51. Let y(l) = 5*r(l) + 8*w(l). Factor y(g).
(g - 7)*(g - 4)*(7*g + 1)
Let u(t) be the first derivative of -10/9*t**3 - 55/12*t**2 - 5*t + 24 + 5/24*t**4. Factor u(c).
5*(c - 6)*(c + 1)**2/6
Determine x, given that -17*x**3 - 335*x + 7*x**3 - 203*x + 563*x - 15*x**5 + 5 - 35*x**4 + 30*x**2 = 0.
-1, -1/3, 1
Let k be 3*(-10)/(-18) - (-3)/9. Let s be 2 + 2 + (k - 3). Determine c, given that 56*c**5 - s*c**3 + 15*c**4 + 8*c**3 - 61*c**5 - 15*c**2 = 0.
-1, 0, 1, 3
Let k be 64/36 - 2 - 40/(-18). What is j in 1/8*j**k + 1/2 + 5/8*j = 0?
-4, -1
Suppose -13*v - 3096 = -5*v. Let y = -385 - v. Determine l so that -15/7*l**3 - 3/7*l**4 + 12/7 - 9/7*l**y + 15/7*l = 0.
-4, -1, 1
Let o = 4346633/7 - 620947. Let -o*u**5 - 8/7*u**3 - 16/7*u**4 + 16/7*u**2 + 12/7*u + 0 = 0. What is u?
-3, -1, 0, 1
Suppose 3*a - 16 = 3*i - 7, -2*i = -5*a. Let l(b) = -b**3 - 2*b**2 - 4*b - 4. Let v be l(a). Solve v*f**4 - 4*f**2 + 1093*f**3 - 1093*f**3 = 0 for f.
-1, 0, 1
Let b(h) be the first derivative of 2*h**3/3 + 303*h**2 - 2001. Determine m, given that b(m) = 0.
-303, 0
Suppose -178*g + 76*g - 182*g = 0. Find b, given that g - 578/3*b - 2/3*b**3 - 68/3*b**2 = 0.
-17, 0
Factor 12*p**5 - 37*p**4 - 4225 + 11*p**5 + 20*p**5 + 20*p**5 - 2794*p**2 + 6565*p + 490*p**3 - 62*p**5.
(p - 13)**2*(p - 5)**2*(p - 1)
Let g = 110 + -45. Let b = g + -50. Factor 100 + 108 - b*t + 12*t**2 - 205.
3*(t - 1)*(4*t - 1)
Let r(k) be the second derivative of 0 - 3/8*k**2 + 1/8*k**5 - 3*k + 1/40*k**6 - 1/84*k**7 + 0*k**4 - 1/3*k**3. Find z, given that r(z) = 0.
-1, -1/2, 1, 3
Let g(a) = a**3 - 132*a**2 + 268*a - 1038. Let c be g(130). Let 2/5*l**c - 2/5*l**3 + 12/5*l + 0 = 0. Calculate l.
-2, 0, 3
Let x(w) be the first derivative of w + 1/5*w**5 - 2*w**2 - 1/4*w**3 - 139 + 11/16*w**4. Factor x(d).
(d - 1)*(d + 2)**2*(4*d - 1)/4
Let m(r) be the third derivative of r**5/330 + 29*r**4/33 + 2615*r**2. Factor m(i).
2*i*(i + 116)/11
Let u(b) = 8*b**3 - 9*b**2 - 32*b - 10. Let o(h) be the first derivative of -9*h**4/4 + 3*h**3 + 33*h**2/2 + 9*h + 33. Let k(l) = -5*o(l) - 6*u(l). Factor k(m).
-3*(m - 5)*(m + 1)**2
Let r(i) be the second derivative of -i**6/75 + 3*i**5/5 - 157*i**4/30 - 68*i**3 - 1156*i**2/5 + 1535*i. Factor r(g).
-2*(g - 17)**2*(g + 2)**2/5
Let t(m) be the third derivative of -m**6/1080 + m**4/18 + 59*m**3/6 + 146*m**2. Let o(b) be the first derivative of t(b). Find f, given that o(f) = 0.
-2, 2
Let g(w) be the third derivative of -w**5/20 - 51*w**4/8 + 270*w**3 - 2*w**2 + 327*w. Solve g(u) = 0 for u.
-60, 9
Let d be (36/210 - 6/(-14)) + (1435/(-525))/(-41). Factor d*z**2 + 0 - 2/3*z**4 + 4*z - 4*z**3.
-2*z*(z - 1)*(z + 1)*(z + 6)/3
Let x be (10/25)/(22/385). Let n be 3*x*(-1)/(-63). Solve 1/6*s**3 + n*s + 0 + 1/2*s**2 = 0 for s.
-2, -1, 0
Let y = 7 - 4. Suppose -2*q + 2*w + 4 = 0, -3*w + 0 = 2*q - 4. What is h in q*h**3 - 3*h**2 + 9*h**2 + y*h - 5*h**3 - 6 = 0?
-1, 1, 2
Suppose 403*o = 397*o + 30. Factor 3*w**3 + 2*w**o + 7*w**2 - 13*w**3 - 6*w**4 + 8*w - 3*w**2 + 0*w**2 + 2*w**2.
2*w*(w - 4)*(w - 1)*(w + 1)**2
What is y in -2/13*y**2 - 1152/13 - 204/13*y = 0?
-96, -6
Let z(u) be the first derivative of -u**6/12 - u**5/10 + 13*u**4/4 + 14*u**3 + 18*u**2 + 1602. Suppose z(i) = 0. Calculate i.
-3, -2, 0, 6
Let z = 49915/3 + -16281. Let g = z + -357. Suppose -10/3*o - g*o**2 - 25/3 = 0. Calculate o.
-5
Let v be 18 + -19 + (0 - -4). Factor v*w**2 + 40 + 30*w + 2*w**2 + 0.
5*(w + 2)*(w + 4)
Let p(u) be the second derivative of -u**5/240 - 5*u**4/48 + 30*u**2 + 140*u. Let w(l) be the first derivative of p(l). Find v, given that w(v) = 0.
-10, 0
Let i(f) be the first derivative of f**3 - 1113*f**2 + 412923*f + 3039. Determine s so that i(s) = 0.
371
Factor -1700*c + 480 - 1701*c - 4*c**2 + 3393*c.
-4*(c - 10)*(c + 12)
Let q(c) be the first derivative of -294/5*c**5 - 50 + 259/4*c**4 + 286/3*c**3 + 8*c - 343/6*c**6 + 42*c**2. Solve q(j) = 0 for j.
-1, -2/7, 1
Let a(t) be the first derivative of -48/5*t - 3/20*t**4 - 9/5*t**3 - 284 - 36/5*t**2. Suppose a(k) = 0. What is k?
-4, -1
Factor 1/9*q**3 - 19/9*q**2 - 65/9 + 83/9*q.
(q - 13)*(q - 5)*(q - 1)/9
Let l(d) be the first derivative of -11210*d**2 - 83 - 7220*d - 18545/3*d**3 - 885/2*d**4 - 9*d**5. Solve l(y) = 0.
-19, -2/3
Let l(x) = -27*x**4 - 98*x**3 + 94*x**2 + 98*x - 67. Let t(m) = -355*m**4 - 1275*m**3 + 1225*m**2 + 1275*m - 870. Let z(c) = 40*l(c) - 3*t(c). Solve z(s) = 0.
-7, -1, 2/3, 1
Let f(l) = 16 - 15*l + 45*l**2 + 51*l**2 - 97*l**2. Let w be f(-7). Factor 0*g**2 + w*g - 5*g**2 - 432 + 2*g**2.
-3*(g - 12)**2
Let h(g) = -10*g**3 - 64*g**2 - 47*g + 7. Let n(u) = 0 + 8*u - 39*u + 2 - 43*u**2 + 3 + 0 - 7*u**3. Let t(z) = -5*h(z) + 7*n(z). Factor t(m).
m*(m + 1)*(m + 18)
Let t(u) be the third derivative of u**6/45 + 23*u**5/5 - 317*u**4/18 - 140*u**3/3 - 3966*u**2 - 2. Suppose t(p) = 0. What is p?
-105, -1/2, 2
Let u(h) = 6*h**3 - 24*h**2 + 12*h + 30. Let a(d) = 7*d**2 - 7*d**3 - 12*d - 17 + 12*d**2 + 6*d**2 - 11. Let i(b) = 3*a(b) + 4*u(b). Let i(j) = 0. Calculate j.
-1, 2, 6
Suppose 24*p = -45*y + 41*y + 120, p = -5*y + 34. Let j(q) be the first derivative of 1/5*q**p + 6/5*q**2 + 49 + 0*q - 16/15*q**3. Find m such that j(m) = 0.
0, 1, 3
Let m(o) be the first derivative of 0*o + 3/4*o**4 - 1/2*o**6 - 125 + 0*o**3 + 0*o**2 + 0*o**5. Factor m(c).
-3*c**3*(c - 1)*(c + 1)
Let d be 8/(-4) - (0 + (-4 + 81)/(-11)). Suppose 0 + 26/7*f**3 + 4/7*f**4 - 10/7*f**d + 12/7*f**2 + 0*f = 0. Calculate f.
-1, -3/5, 0, 2
Determine z so that -1/3*z**2 - 5 - 8/3*z = 0.
-5, -3
Let n(s) = -s**3 - 7*s**2 + 19*s + 41. Let t be n(3). Let v(u) be the first derivative of 28 + t*u + u**4 + 16/3*u**3 + 10*u**2. Factor v(i).
4*(i + 1)**2*(i + 2)
Let s(i) = 3*i**3 - 1. Let k be s(1). Let v be 470/564 - -7*5/(-60). Determine t so that -v*t**k - 1/2*t - 1/4 = 0.
-1
Let f(s) be the first derivative of 5*s**4/4 - 620*s**3/3 - 249. Suppose f(p) = 0. What is p?
0, 124
Let g(h) be the second derivative of -154*h**4 - 139*h + 0 + 1816/9*h**3 + 243/5*h**5 - 6/5*h**6 - 400/3*h**2. Factor g(b).
-4*(b - 25)*(3*b - 2)**3/3
Let q(h) be the first derivative of -h**3/8 + 2061*h**2/4 - 1415907*h/2 + 2231. Factor q(j).
-3*(j - 1374)**2/8
Let i be 1/((-8)/(-48)) + -4. Factor -12*t**i + 12*t**4 + 294*t**3 - 4*t**2 + 16*t - 314*t**3.
4*t*(t - 2)*(t + 1)*(3*t - 2)
Let n(v) be the first derivative of -4*v**5/5 + 279*v**4 - 34596*v**3 + 1608714*v**2 + 1332. Find s such that n(s) = 0.
0, 93
Let c(u) = -u**2 + 10*u + 5. Let f be c(10). Let z = -1 + f. Find r such that -z*r**3 - 10*r - 12*r - 9*r + 35*r = 0.
-1, 0, 1
Let q(g) = g + 2. Let u(b) = b**3 + 24*b**2 - 139*b + 120. Let y(j) = 2*q(j) - u(j). Find f, given that y(f) = 0.
-29, 1, 4
Let p(i) = -3*i**4 - 46*i**3 + 238*i**2 + 15972*i - 131771. Let h(j) = -7*j**4 - 93*j**3 + 474*j**2 + 31944*j - 263543. Let u(c) = 2*h(c) - 5*p(c). Factor u(o).
(o - 11)**2*(o + 33)**2
Let m = 315 - 313. Suppos