8 + 11*c**7/75 - 3*c**6/4 + 263*c**5/150 - 67*c**4/30 + 8*c**3/5 + 10*c**2 - 286*c. Find j such that p(j) = 0.
2/5, 1, 12
Let i(c) = c**3 + 23*c**2 - 16*c + 194. Let b be i(-24). Solve -129*d + 3*d**3 + 60 + 56*d - 15*d**b + 61*d = 0.
-2, 2, 5
Factor 22*t**2 - 2/7*t**3 - 22 + 2/7*t.
-2*(t - 77)*(t - 1)*(t + 1)/7
Let d(x) be the third derivative of x**6/40 + x**5 + 23*x**4/2 + 56*x**3 - 7*x**2 + 209*x. Let d(v) = 0. What is v?
-14, -4, -2
Solve 436*f**2 - 64*f - 166*f**2 - 274*f**2 = 0.
-16, 0
Let v be (-102)/(-12)*16/68. Let n(d) be the first derivative of 2/3*d**3 + 1 - 2*d - 15/4*d**v. Find t such that n(t) = 0.
-1/4, 4
Let z(g) = 28*g**2 + 3904*g - 3900. Let v(c) = 10*c**2 + 1302*c - 1300. Let i(u) = 8*v(u) - 3*z(u). Let i(b) = 0. Calculate b.
-325, 1
Let x(q) be the third derivative of 0*q + 2/3*q**3 - 1/2*q**4 + 0 - 28*q**2 + 1/20*q**5 + 1/24*q**6. Factor x(m).
(m - 1)*(m + 2)*(5*m - 2)
Suppose -38*x + 45*x - 14 = 0. Suppose 0 = -14*i + 15*i - 3*z + 12, -9 = x*i - 3*z. Factor -4*d**i - 2/3*d**4 - 6*d**2 + 0 + 0*d.
-2*d**2*(d + 3)**2/3
Let k(p) be the third derivative of p**8/168 + p**7/105 - 7*p**6/30 - 4*p**5/5 + 8*p**2 + 102*p - 1. Find n such that k(n) = 0.
-3, -2, 0, 4
Let m(a) be the third derivative of 8*a**2 - 1/2*a**3 + 1/72*a**5 + 0*a + 1/12*a**4 + 0 - 1/1080*a**6. Let l(d) be the first derivative of m(d). Factor l(b).
-(b - 6)*(b + 1)/3
Factor -v**2 - 38*v - v**3 - 50*v**2 - 3*v**2 + 95*v + 110.
-(v - 2)*(v + 1)*(v + 55)
Let n(u) be the second derivative of -u**4/12 + 7*u**3/3 - 33*u**2/2 - 1200*u. Factor n(v).
-(v - 11)*(v - 3)
Let j(w) be the first derivative of 30*w + 3/4*w**4 - 39/2*w**2 + 17 + 2*w**3. Factor j(o).
3*(o - 2)*(o - 1)*(o + 5)
Let j(t) be the first derivative of -13*t**5/90 - 4*t**4/9 + 4*t**3/27 - 22*t - 11. Let l(q) be the first derivative of j(q). Factor l(p).
-2*p*(p + 2)*(13*p - 2)/9
Let m be ((-490)/420)/((-525)/360). Determine p, given that 14/5*p**2 + m - 18/5*p = 0.
2/7, 1
Let o(f) = -f**3 + 48*f**2 + f - 45. Let r be o(48). Suppose -b + 0 = -r*u - 17, -3*u - 5 = 5*b. Solve 2/23*g**b - 4/23*g + 2/23 = 0 for g.
1
Let a(f) = -5*f + 52. Let r be a(8). Let d be -3 - ((-81)/15 + r/30). Suppose -3/5*u**d + 18/5 + 3*u = 0. Calculate u.
-1, 6
What is w in -2*w**5 - 548*w**3 + 44*w**4 - 1 + 241*w**3 + 265*w**3 + 1 = 0?
0, 1, 21
Let d be (((-9870)/294)/(-47))/((-4)/(-28) - 0). Find b such that 178*b**3 + 8 - 64*b + 88*b**2 - 45/2*b**4 - 81/2*b**d = 0.
-2, -1, 2/9, 2
Let v(t) be the first derivative of -5/4*t**2 - 4*t + 1/16*t**4 + 7/12*t**3 - 186. Factor v(d).
(d - 2)*(d + 1)*(d + 8)/4
Factor 3/5*s**3 + 492063/5*s - 2436/5*s**2 + 993894/5.
3*(s - 407)**2*(s + 2)/5
Suppose 4*g = 4*m - 48, -6*g = 4*m - 2*g - 32. Suppose 9 = -m*l + 29. Find s, given that -4*s**2 + 0*s + 46 - l*s - 49 + 5*s**2 = 0.
-1, 3
Let p(r) be the third derivative of -19*r + 0 + 1/2*r**4 - 3/20*r**5 + 6*r**3 - 1/40*r**6 - 2*r**2. Factor p(o).
-3*(o - 2)*(o + 2)*(o + 3)
Let p(i) = -2*i - 7. Let v = -74 - -68. Let d be p(v). What is l in 14*l**4 + d*l**2 - l**2 - 4*l**3 - 6*l**2 + 2*l**4 = 0?
-1/4, 0, 1/2
Let n(q) = -q**4 + 15*q**2 + 10*q - 36. Let z(k) = -3*k**4 + k**3 + 46*k**2 + 31*k - 99. Let b(v) = 11*n(v) - 4*z(v). Factor b(i).
i*(i - 7)*(i + 1)*(i + 2)
Let s(v) = 2*v**3 - 382*v**2 - 36869*v + 37234. Let r(d) = 5*d**3 - 1147*d**2 - 110605*d + 111707. Let z(p) = 3*r(p) - 8*s(p). What is t in z(t) = 0?
-193, 1
Let y(r) = 10*r - 32. Let v be y(4). Find i such that v*i**2 - 8*i**2 + 2*i + i**4 - 6*i**2 + 3*i**2 = 0.
-2, 0, 1
Let x(g) = -g**3 + g**2 - 15*g. Let d(q) = q**4 - 40*q**3 + 216*q**2 - 504*q + 252. Let t(l) = -3*d(l) + 15*x(l). Suppose t(o) = 0. Calculate o.
1, 3, 28
Let y(i) be the third derivative of -i**7/350 - 33*i**6/50 - 567*i**5/50 - 837*i**4/10 - 3321*i**3/10 - 3280*i**2. Factor y(l).
-3*(l + 3)**3*(l + 123)/5
Let l(o) = o**2 + 11*o - 24. Let i be l(-13). Find d, given that 3 + 2*d + 22*d**2 - 14*d**2 - 9*d**i = 0.
-1, 3
Suppose -3*r + 84 = r. Let z = 348 - 340. Solve -z*x**4 + r*x + 52*x**3 - 56*x**3 - 5*x + 32*x**2 = 0.
-2, -1/2, 0, 2
Let q(p) be the first derivative of -p**4/18 + 190*p**3/27 - 344*p**2/3 + 664*p + 1036. Factor q(a).
-2*(a - 83)*(a - 6)**2/9
Let z(c) be the third derivative of -c**5/12 + 275*c**4/3 - 121000*c**3/3 - 529*c**2. Factor z(b).
-5*(b - 220)**2
Let o(d) be the first derivative of -d**5/30 + 121*d**4/24 - 20*d**3/3 + 4853. Factor o(l).
-l**2*(l - 120)*(l - 1)/6
Let x(g) be the first derivative of -g**6/6 + 4*g**5 - 35*g**4/4 - 20*g**3/3 + 18*g**2 - 779. Find i such that x(i) = 0.
-1, 0, 1, 2, 18
Let r(a) = 4*a**2 - 23 + 26 - 3*a - 3*a**2. Let o be r(3). Solve -6*h**2 + 6*h**3 + 6*h**o + 16*h**2 + 3*h**3 + 5*h**4 = 0.
-2, -1, 0
Let s(j) = -j**2 + j - 2. Let z(d) = 2*d**2 - 26*d - 16. Let i(l) = 15*s(l) + 5*z(l). Factor i(v).
-5*(v + 1)*(v + 22)
Let w = -525 + 2843. Find g such that -1166*g - 1194*g - 8*g**2 + 36 + w*g = 0.
-6, 3/4
Suppose 4*z - 2*z = 12. Suppose 0 = -z*y + y + 10. Let 0*p**y + 64 - 6*p - 67 - 3*p**2 = 0. What is p?
-1
Let t(l) = 3*l**3 + l**2 + 2*l + 1. Let k(x) = 72*x**3 + 208*x**2 + 552*x - 172. Let o(q) = -k(q) + 20*t(q). Factor o(c).
-4*(c + 4)*(c + 12)*(3*c - 1)
Determine b so that -549*b**3 - 22412*b**4 - 393*b**2 - 3174*b**3 - 135*b**2 - 338*b**5 - 3149*b**3 = 0.
-66, -2/13, 0
Suppose 2017 = 1787*i - 5131. Find q, given that -9/2*q**2 + 0 + 9/2*q**i - 5*q + 11/2*q**3 - 1/2*q**5 = 0.
-1, 0, 1, 10
Let u be 2812/((-19)/((-475)/(-100))*(21/(-4))/7). Factor 76/3*b**3 - 506*b**2 - 1/3*b**4 - 1369/3 + u*b.
-(b - 37)**2*(b - 1)**2/3
Let j(s) = s**3 - 24*s**2 + 22*s + 32. Let m be j(23). Suppose -156 + 66 = -m*v. Let -10*c**2 - 8*c**2 - v*c + 13*c**2 + 15 = 0. Calculate c.
-3, 1
Let p(x) be the first derivative of -x**7/315 - x**6/90 + x**5/90 + x**4/18 - x**2 - 8*x - 59. Let u(b) be the second derivative of p(b). Factor u(a).
-2*a*(a - 1)*(a + 1)*(a + 2)/3
Let w(n) be the second derivative of n**5/180 - 5*n**4/72 + 2*n**3/9 + 20*n**2 + 4*n - 5. Let t(h) be the first derivative of w(h). Factor t(y).
(y - 4)*(y - 1)/3
Let a(c) be the third derivative of -1/30*c**4 + 0*c - 1/525*c**7 + 0*c**3 + 1/50*c**5 + 43*c**2 + 0 + 0*c**6. Suppose a(r) = 0. Calculate r.
-2, 0, 1
Let t(j) = 3 + 6*j**2 - 2*j**2 - 3*j**2 - 4*j - 2*j**2. Let w be t(-3). Solve 109*s**2 - 3*s**3 + 3*s - w + 6*s - 109*s**2 = 0.
-2, 1
Let d(i) = 9*i**4 - 135*i**3 - 547*i**2 + 307*i + 3000. Let h(g) = 16*g**4 - 224*g**3 - 912*g**2 + 512*g + 5000. Let c(x) = -12*d(x) + 7*h(x). Factor c(w).
4*(w - 2)*(w + 5)**3
Let k(y) be the second derivative of -11*y**7/14 - 21*y**6/5 + 57*y**5/20 + 21*y**4/2 - 4*y**3 - 313*y. Suppose k(h) = 0. What is h?
-4, -1, 0, 2/11, 1
Let c = 18707/2140 - 930/107. Let l(p) be the third derivative of 0*p + 1/70*p**7 + 3/8*p**4 + 0 - 3/40*p**6 - p**3 + c*p**5 - 25*p**2. Factor l(d).
3*(d - 2)*(d - 1)**2*(d + 1)
Let m(d) be the second derivative of 2/3*d**4 + 1/5*d**5 + 0 - 2/3*d**3 - 4*d**2 + 58*d. What is q in m(q) = 0?
-2, -1, 1
Let h(v) be the first derivative of 16*v + 10/3*v**2 + 1/6*v**4 - 26/9*v**3 + 75. Factor h(r).
2*(r - 12)*(r - 2)*(r + 1)/3
Let h(f) be the first derivative of 101 - 5*f**4 - f**5 - 5/3*f**3 + 0*f + 15*f**2. Factor h(z).
-5*z*(z - 1)*(z + 2)*(z + 3)
Let m(a) be the third derivative of a**5/210 - 41*a**4/84 + 1766*a**2. Factor m(y).
2*y*(y - 41)/7
Let t = -1789709/11 - -162701. What is q in 10/11*q + 2/11*q**4 - 10/11*q**3 + 0 - t*q**2 = 0?
-1, 0, 1, 5
Let y be ((2592/(-180))/(-6))/((9/(-15))/(-1)). Let n(b) be the first derivative of 8*b - 4*b**2 - 7*b**y - 38 - 38/3*b**3 - 6/5*b**5. What is k in n(k) = 0?
-2, -1, 1/3
Factor 1/7*s**3 + 5808/7 + 1672/7*s - 85/7*s**2.
(s - 44)**2*(s + 3)/7
Let a(i) be the first derivative of i**4/28 + 362*i**3/7 + 196566*i**2/7 + 47437928*i/7 - 347. Solve a(b) = 0 for b.
-362
Let d(g) be the third derivative of 0 + 101*g**2 - 1/20*g**5 - 3*g**3 + 0*g - 7/8*g**4. Suppose d(a) = 0. What is a?
-6, -1
Suppose 16*x = -133 + 261. Let t be 0 + (-9 - -5) + x. Factor 15*d**t + 54*d**3 + 12/5 - 108/5*d + 183/5*d**2.
3*(d + 2)**2*(5*d - 1)**2/5
Let b = 276487/5 + -55294. Factor o**3 + 8/5*o + 12/5 - b*o**2.
(o - 2)**2*(5*o + 3)/5
Suppose -3*i + 90 + 453 = -3*r, 895 = -5*r - 5*i. Let x be 10*(-11 + (-2076)/r). Factor -x + 2/3*g**2 + 4/3*g.
2*(g - 2)*(g