51*z**3 + 23/17*z**2. Factor d(r).
-2*(r - 23)*(r + 1)/17
Let r(y) = -14*y**2 + 14*y + 588. Let a(s) = -9*s**2 + 9*s + 395. Let c(h) = 8*a(h) - 5*r(h). Solve c(n) = 0 for n.
-10, 11
Solve 194/3 + 1162/9*i + 578/9*i**2 - 2/9*i**3 = 0 for i.
-1, 291
Factor 42*q + 264 - 1/3*q**2.
-(q - 132)*(q + 6)/3
Let s be 1701/252 - 26/(-8)*-2. Let -s*f**3 + 0 + 1/2*f**2 + 0*f = 0. What is f?
0, 2
Let t be (12/18)/((-4)/(-1152)). Suppose -20*l = -28*l + t. Factor y**2 + l*y - 4*y**2 - 48 - y**2 + y**2.
-3*(y - 4)**2
Let a(h) be the second derivative of 0*h**5 + 68*h + 0*h**2 + 0 + 0*h**3 - 1/30*h**6 + 1/12*h**4. Solve a(d) = 0 for d.
-1, 0, 1
Let t = 724/423 + -70/47. Solve 0*v - t + 2/9*v**2 = 0 for v.
-1, 1
Suppose 2 = 2*g - 2. Let x be (-5 - (g - 3)) + 5. Let m(k) = 3*k**2 + k - 4. Let o(b) = -b - 1. Let h(d) = x*m(d) - 6*o(d). Solve h(a) = 0 for a.
-2, -1/3
Let t = 457 - 921. Let v = -462 - t. Factor -2/5 + 1/5*c**v - 1/5*c.
(c - 2)*(c + 1)/5
Determine a so that 0 + 0*a**2 - 7/2*a**4 + 1/2*a**5 + 6*a**3 + 0*a = 0.
0, 3, 4
Find v such that 18/7*v + 9/7*v**2 + 0 - 1/7*v**4 - 2/7*v**3 = 0.
-3, -2, 0, 3
Factor 62999*x**4 - 81*x**2 - 36 - 13*x**3 - 14*x**3 - 63002*x**4 - 93*x.
-3*(x + 1)**2*(x + 3)*(x + 4)
Let w(h) be the second derivative of h**6/75 - 23*h**5/25 + 17*h**4/6 + 44*h**3/5 + h - 3917. Factor w(v).
2*v*(v - 44)*(v - 3)*(v + 1)/5
Let f(t) be the third derivative of t**8/504 + 2*t**7/315 - t**6/15 - 7*t**5/45 + 11*t**4/36 + 4*t**3/3 + 3*t**2 + 105*t. Find y, given that f(y) = 0.
-4, -1, 1, 3
Solve 0 + 2/19*h**3 + 28/19*h - 18/19*h**2 = 0.
0, 2, 7
Suppose -2*t + 259 = -d, -2*t = -t - 3*d - 127. Find p, given that 16 + t*p**2 - 65*p**3 + p**5 + 106 + 24 - 6*p**5 - 40*p**4 + 14 + 320*p = 0.
-4, -1, 2
Let m(o) be the second derivative of 5*o**7/42 + o**6/2 - 7*o**5/4 - 45*o**4/4 - 15*o**3 - 1533*o. Determine k, given that m(k) = 0.
-3, -2, -1, 0, 3
Suppose -191 = -8*c + 1897. Let z = 517 - c. Determine a, given that -64*a + 4*a**2 + 16*a - 16*a + z = 0.
8
Let c be -18*((-156)/18 - -5). Let i(s) be the first derivative of -357/4*s**4 - 18*s**3 - 15 - 147/5*s**5 + c*s**2 - 24*s. Determine v so that i(v) = 0.
-2, -1, 2/7
Let r = 115 - 8. Let 8 - 123*m + 10 - 2*m**2 + r*m = 0. What is m?
-9, 1
Let f be 720/352 - (-2)/(-44). Find v such that -2/5 - 1/5*v**3 + 2/5*v**f + 1/5*v = 0.
-1, 1, 2
Suppose 147/4*w**3 + 141*w + 291/2*w**2 - 6 = 0. Calculate w.
-2, 2/49
Let y(m) be the first derivative of 4*m**3/9 + 749*m**2/2 - 562*m/3 - 10496. Suppose y(u) = 0. What is u?
-562, 1/4
Let s(v) be the first derivative of 2*v**3/21 - 183*v**2/7 - 3463. Determine f so that s(f) = 0.
0, 183
Let t(u) be the third derivative of -u**6/30 + 2*u**5/5 + 9*u**4/2 - 636*u**2. Determine l, given that t(l) = 0.
-3, 0, 9
Determine s, given that 31*s**2 - 30*s - 885*s**3 + 875*s**3 + 184*s**4 - 183*s**4 = 0.
0, 2, 3, 5
Let d(h) be the third derivative of h**8/168 + 172*h**7/105 + 3611*h**6/30 - 2494*h**5/5 + 2523*h**4/4 + 2045*h**2. Factor d(k).
2*k*(k - 1)**2*(k + 87)**2
Let d be 36/8 - 3/6. Let p be -1 - 6/(-2) - (2 - d). Factor c**3 - p*c**3 + 25*c - c**2 + 4*c**3 + 11*c**2.
c*(c + 5)**2
Let k = -703499/100 + 7035. Let m(d) be the second derivative of 0*d**2 + 0*d**3 - 1/150*d**6 + 26*d - 1/210*d**7 + 0 + k*d**5 + 1/60*d**4. Factor m(z).
-z**2*(z - 1)*(z + 1)**2/5
Let u(w) be the first derivative of -4*w**3 + 268 + 0*w**2 + 0*w - 3*w**4 - 3/5*w**5. What is y in u(y) = 0?
-2, 0
Let a(t) = -29*t**3 - 7*t**2 + 64*t - 24. Let w(z) = 28*z**3 + 9*z**2 - 63*z + 23. Let q be 8/3*(-2 - (-1)/2). Let i(l) = q*w(l) - 3*a(l). Factor i(u).
-5*(u - 1)*(u + 2)*(5*u - 2)
Let j(m) be the first derivative of m**3/7 - 1605*m**2/14 - 14016. What is d in j(d) = 0?
0, 535
Let p(t) = 148*t + 593. Let l be p(-12). Let q = 13015/11 + l. What is b in -2/11 + 0*b + q*b**2 = 0?
-1, 1
Let l(v) be the third derivative of 0 + 126*v**2 - 1/15*v**5 + 12*v**3 - 1/2*v**4 + 0*v. Suppose l(o) = 0. What is o?
-6, 3
Let o(n) be the third derivative of -n**9/30240 + n**8/2520 - 31*n**5/60 - 3*n**2 + 2. Let h(z) be the third derivative of o(z). Factor h(f).
-2*f**2*(f - 4)
Let q(l) be the first derivative of -2*l**3/15 + 383*l**2/5 - 2526. Find s, given that q(s) = 0.
0, 383
Suppose 4*y + 3*c - 5*c = 6882, 5*y + 4*c = 8609. Suppose -1718*z = -y*z. Factor -1/2*d**3 + z + d**2 - 1/2*d.
-d*(d - 1)**2/2
Let d(h) be the first derivative of -6*h**6/7 + 332*h**5/35 - 81*h**4/7 - 268*h**3/21 + 180*h**2/7 - 64*h/7 + 195. Solve d(p) = 0 for p.
-1, 2/9, 1, 8
Let k(c) = 6*c**2 + 81*c - 186. Let z(i) = 11*i**2 + 164*i - 372. Let a(v) = -7*k(v) + 3*z(v). Factor a(m).
-3*(m - 2)*(3*m + 31)
Let q(f) = f**4 - 3*f**2. Let m(c) = 18*c**3 - 25*c**2 - 294*c - 29*c**2 - 21*c**2 + 94*c + 4*c**4. Let p(t) = m(t) - 5*q(t). Let p(x) = 0. What is x?
-2, 0, 10
Let o = -60049/3 + 20027. Factor o - 8/3*n**2 - 20*n.
-4*(n + 8)*(2*n - 1)/3
Let w be (-4 - (-2)/(-2))*(-2380)/25. Let v be w/(-85) + 3*2. Solve v*k + 0 - 2/5*k**2 = 0.
0, 1
Let g = 217285 + -217283. Factor 1/3*z**3 + 2/3*z**g - 5*z - 12.
(z - 4)*(z + 3)**2/3
Let c(t) be the second derivative of t**6/90 + t**5/15 - t**4/2 - t**3/3 - 9*t**2 + 2*t - 26. Let m(r) be the second derivative of c(r). Solve m(p) = 0.
-3, 1
Let y(m) be the third derivative of -m**6/120 - 19*m**5/60 - 17*m**4/12 - m**2 + 684. Factor y(f).
-f*(f + 2)*(f + 17)
Let o(f) be the second derivative of -5 + 2*f + 0*f**2 - 1/189*f**7 - 4/45*f**5 + 2/27*f**4 + 0*f**3 + 1/27*f**6. Factor o(h).
-2*h**2*(h - 2)**2*(h - 1)/9
Let r(d) be the first derivative of 3*d**4/4 + 52*d**3 + 5487*d**2/8 - 73101*d/4 + 6960. Factor r(q).
3*(q - 7)*(2*q + 59)**2/4
Let y(r) be the first derivative of r**5/3 - 5*r**4/4 - 85*r**3/9 + 65*r**2/2 - 100*r/3 + 7764. Solve y(q) = 0 for q.
-4, 1, 5
Let t(s) be the third derivative of -s**8/336 - 3*s**7/35 - 59*s**6/120 - 7*s**5/10 - 2*s**2 + 794*s - 2. Factor t(v).
-v**2*(v + 1)*(v + 3)*(v + 14)
Let o(h) be the second derivative of -4*h**6/315 - 4*h**5/315 - h**4/252 + 60*h**2 + 43*h - 2. Let v(k) be the first derivative of o(k). Factor v(j).
-2*j*(4*j + 1)**2/21
Let w be 1/2 - (2/(-4) - (-43)/(-86)). Let o(d) be the third derivative of w*d**3 - 3*d**2 + 0 - 1/120*d**6 - 1/12*d**5 - 1/8*d**4 + 0*d. Factor o(z).
-(z - 1)*(z + 3)**2
Let a be 6/99*87 - (34/(-34) + 5). Let a*d - 24/11 - 1/11*d**2 = 0. What is d?
2, 12
Suppose 0 = -304*g + 1280 - 672. Factor 1/3*a**3 + 0 + 0*a**g + 0*a.
a**3/3
Let y(r) be the first derivative of r**3/3 + 193*r**2/2 + 382*r + 1316. Factor y(o).
(o + 2)*(o + 191)
Factor 2914*w**3 - 176*w**3 - 2886*w**2 + 236*w - 117 + 234 - 119 - 86*w.
2*(w - 1)*(37*w - 1)**2
Let h be (-3)/(30/(-40))*(-3)/(-4). Factor 50 + x**4 + 2*x**3 + 74*x**2 + 166*x + 22 - 34*x + 13*x**h.
(x + 1)*(x + 2)*(x + 6)**2
Let z = 1349/14 + 13831/42. Let n = 427 - z. Factor 0*s + n*s**2 + 0.
4*s**2/3
Let r(u) be the second derivative of u**4/48 - 539*u**3/8 + 202*u**2 - u - 352. Factor r(o).
(o - 1616)*(o - 1)/4
Let h(w) be the third derivative of -w**5/140 + 733*w**4/28 + 1467*w**3/14 + 4*w**2 + 147*w - 2. Factor h(k).
-3*(k - 1467)*(k + 1)/7
Let t = -178506179/337897 - -3/48271. Let o = -528 - t. Solve o*b**3 + 4/7 - 6/7*b + 0*b**2 = 0.
-2, 1
Factor -158/7*l + 2/7*l**2 + 0.
2*l*(l - 79)/7
Let u = -32653 - -228573/7. Factor -54/7 - u*y**3 + 6/7*y**2 + 18/7*y.
-2*(y - 3)**2*(y + 3)/7
Suppose -5*l - 2*i + 1138 = 0, 11*l - 8*l - 5*i = 658. Suppose -214*x = -l*x + 36. Find m such that 0*m**4 - 2/9*m**5 + 10/9*m**x - 8/9*m + 0 + 0*m**2 = 0.
-2, -1, 0, 1, 2
Let q = -46676/3 - -15571. Let k(s) be the second derivative of -1/21*s**7 + 23/5*s**5 + 17*s**3 + 5*s + q*s**4 + 3/5*s**6 + 5 + 13*s**2. Factor k(d).
-2*(d - 13)*(d + 1)**4
Let t(g) be the first derivative of 10*g**6/9 - 392*g**5/15 + 275*g**4/3 + 904*g**3/9 - 560*g**2/3 - 512*g/3 - 2388. Let t(v) = 0. Calculate v.
-1, -2/5, 1, 4, 16
Let t(n) = -5*n**4 + 110*n**3 + 234*n**2 + 119*n. Let d be (1056/(-54))/(-16) + 4/(-18). Let y(p) = p**2 + p. Let g(x) = d*t(x) + y(x). What is i in g(i) = 0?
-1, 0, 24
Let q(i) be the third derivative of -i**5/450 - 187*i**4/180 + 329*i**2 - 2*i. Factor q(f).
-2*f*(f + 187)/15
Suppose 2/9*s**2 + 69938/9 - 748/9*s = 0. Calculate s.
187
Let i = 1060444/3 - 353481. Let q(l) = -l**3 + l**2 + l + 2. Let a be q(2). Factor a*j + 1/3*j**4 + 0