e the third derivative of 5*h**8/1344 + h**7/420 - 13*h**6/48 - 13*h**5/60 + 125*h**4/96 + 25*h**3/12 - 958*h**2. Suppose o(d) = 0. Calculate d.
-5, -1, -2/5, 1, 5
Find p, given that 2/7*p**3 - 384/7*p**2 - 1166/7*p - 780/7 = 0.
-2, -1, 195
Let h = 435 - 423. Suppose -1511*x**2 + 754*x**2 - 36*x + h*x**3 - 27 - 3*x**4 + 763*x**2 = 0. What is x?
-1, 3
Let r(t) be the first derivative of 2*t**5/45 - t**4/18 - 8*t**3/3 + 124*t**2/9 - 224*t/9 + 990. Factor r(s).
2*(s - 4)*(s - 2)**2*(s + 7)/9
Let q(v) = -4*v + 8. Let a be q(7). Let k = a + 30. Factor 0*t**4 + 6*t**3 - 8*t - 2*t**4 + k - 10.
-2*t*(t - 2)**2*(t + 1)
Let w(h) = 9*h**2 - 93*h + 410. Let p(k) = 5*k**2 - 47*k + 204. Let j(z) = -10*p(z) + 6*w(z). Solve j(q) = 0 for q.
7, 15
Suppose -8 = x - 4*w, 2*x - 5*w = -x - 45. Let n be (4 + x/4)/(1 + -8). Let -n*d - 2/7 + 1/7*d**2 = 0. Calculate d.
-1, 2
Let m(i) = 5*i**5 - 65*i**4 - 340*i**3 - 345*i**2 + 30. Let c(z) = z**4 - z**3 + 3*z**2 - 2. Let p(q) = 15*c(q) + m(q). Solve p(w) = 0 for w.
-4, -1, 0, 15
Let k be 143556/21*(-2 - (-70)/36). Let a = k + 380. Determine j, given that a - 1/9*j**2 + 1/9*j = 0.
-1, 2
Let r be (-6)/54*11 + 1/((-9)/(-12)). Let k(d) be the first derivative of 31 + 0*d + r*d**2 - 2/27*d**3. Factor k(q).
-2*q*(q - 1)/9
Let l = 286 - 276. Let z(g) = -g**2 + 2*g. Let a(r) = -8*r**2 + 44*r - 56. Let c(q) = l*z(q) - a(q). Factor c(i).
-2*(i - 2)*(i + 14)
Determine w so that 82757*w**4 + 411*w + 178 + 280*w**2 + 70*w**3 + 20 - w**5 + 0*w**5 - 82755*w**4 = 0.
-3, -2, -1, 11
Let f(l) be the second derivative of l**5/20 + 7*l**4/12 - l**3 + 7*l**2/2 - 28*l. Let t be f(-7). Factor -24 - 4*z**2 + 56*z + t*z - 125*z.
-4*(z + 2)*(z + 3)
Let z(w) be the second derivative of w**5/130 + 266*w**4/39 + 167*w - 6. Factor z(y).
2*y**2*(y + 532)/13
Suppose 27*o = -16*o - 645. Let p be (42 - 36)*o/(-18). Determine w, given that 4/7*w**p - 16/7*w**4 - 16/7*w**2 + 24/7*w**3 + 0 + 4/7*w = 0.
0, 1
Determine m so that -98/3 - 1/12*m**2 + 17/2*m = 0.
4, 98
Let o = -10825/5071 + 43148306/16861075. Let f = o + 2/475. Determine u, given that -3/7*u**3 - 6/7*u**2 + 6/7 + f*u = 0.
-2, -1, 1
Let x(d) = 9*d**2 + 507*d + 504. Let l(o) = 20*o**2 + 1015*o + 1009. Let v(c) = -3*l(c) + 7*x(c). Solve v(p) = 0.
-167, -1
Factor -13765*k**2 - 528*k + 14169*k**2 - 1008 - 72*k**3 + 2*k**4 + 2*k**4.
4*(k - 7)*(k - 6)**2*(k + 1)
Let x(j) be the third derivative of -47/12*j**4 + 0 + 0*j - 48*j**2 - 10/3*j**3 - 3/10*j**5. What is w in x(w) = 0?
-5, -2/9
Factor -90*x - 13800 + 171/8*x**2 + 3/8*x**3.
3*(x - 23)*(x + 40)**2/8
Let t(y) be the first derivative of -y**5/390 + 17*y**4/13 - 3468*y**3/13 + 181*y**2/2 - 244. Let j(u) be the second derivative of t(u). Factor j(p).
-2*(p - 102)**2/13
Let x(k) = 211*k**2 + 6*k - 5. Let d be x(1). Suppose -201*l = -d*l + 33. Factor 6/5*h + 2/5*h**4 - 2/5*h**2 - 6/5*h**l + 0.
2*h*(h - 3)*(h - 1)*(h + 1)/5
Let i(b) be the third derivative of 0*b + 0*b**3 - b**2 - 6 + 1/30*b**5 + 0*b**4. Find n such that i(n) = 0.
0
Suppose 81*r = 20342 - 20018. Solve 10/13*l**3 - 8/13 + 2/13*l**r + 6/13*l**2 - 10/13*l = 0.
-4, -1, 1
Let m(g) = g**3 - 14*g**2 - 6*g + 28. Let c be m(15). Suppose -220*b + 28*b**3 - 13*b**3 + 200 - c*b**2 + 33*b**2 = 0. What is b?
-2, 2/3, 10
Factor -424 - 124 + 4*l**2 - 325 + 159 - 426 + 1136*l.
4*(l - 1)*(l + 285)
Let u = 620 - 404. Solve -297 - 135 - 41*n**2 - u*n - 2*n**3 + 5*n**2 = 0 for n.
-6
Let p(x) = 3*x**4 - 35*x**3 + 105*x**2 + 147*x + 4. Let k(y) = -y**3 - 1. Let u(g) = 4*k(g) + p(g). Find t, given that u(t) = 0.
-1, 0, 7
Let c(y) = 2*y**3 - 182*y**2 - 187*y + 280. Let t be c(92). Let x(u) be the first derivative of -49*u - 1/3*u**3 - t - 7*u**2. Factor x(l).
-(l + 7)**2
Let y(n) be the third derivative of -n**6/660 + n**5/165 + 4*n**4/33 - 32*n**3/33 + 386*n**2. Factor y(o).
-2*(o - 4)*(o - 2)*(o + 4)/11
Let d be 32/(((-12)/56)/((-96)/28)). Let r = d + -3582/7. Let -r*i**5 + 0 + 10/7*i**2 + 6/7*i**3 + 4/7*i - 2/7*i**4 = 0. Calculate i.
-1, 0, 2
Let z(c) be the second derivative of -c**4/24 - 27*c**3/4 - 20*c**2 + 1742*c. What is y in z(y) = 0?
-80, -1
Let w(p) be the second derivative of p - 1/45*p**5 + 2/3*p**3 + 15/2*p**2 + 0 - 1/9*p**4. Let o(g) be the first derivative of w(g). Find l, given that o(l) = 0.
-3, 1
Let c(b) be the third derivative of -b**6/600 - b**5/20 - 9*b**4/40 - 13*b**3/30 - b**2 + 282. Factor c(o).
-(o + 1)**2*(o + 13)/5
Let o(v) be the first derivative of v**4/8 + 395*v**3/6 - 793*v**2/4 + 397*v/2 - 5174. Determine z, given that o(z) = 0.
-397, 1
Let x be ((-3)/1678)/((-450)/200). Let k = 6710/2517 + x. Let k*i + 0 - 2/3*i**2 = 0. What is i?
0, 4
Factor 0 - 4/7*q**2 - 116/7*q.
-4*q*(q + 29)/7
Let v(z) = z**5 - 25*z**3 + 68*z**2 - 90*z + 40. Let d(k) = -k**4 + 4*k**3 + k**2 - k. Let a(u) = -2*d(u) - v(u). Factor a(h).
-(h - 2)**3*(h - 1)*(h + 5)
Let u(h) be the first derivative of -h**4/4 + 7*h**3/3 - 5*h**2/2 - 2*h - 3. Let z be u(6). Factor 25 - 70*p**2 + 8*p**3 - 4*p**4 + 5*p**z - 40*p + 76*p**2.
(p - 1)**2*(p + 5)**2
Let w(q) be the second derivative of q**6/150 - 3*q**5/50 - q**4/5 + 19*q**3/15 - 21*q**2/10 + q - 20. Suppose w(l) = 0. Calculate l.
-3, 1, 7
Solve 99/4*d**2 + 5*d**3 - 25 + 1/4*d**4 - 5*d = 0 for d.
-10, -1, 1
Suppose 0 = -33*t + 12*t + 42. Factor -136*n + 5*n**2 + 968 - 3*n**t + 48*n.
2*(n - 22)**2
Solve -1223*l**2 + 377*l - 27*l + 294*l**3 + 3*l**4 + 124*l**3 + 100*l**3 = 0.
-175, 0, 1/3, 2
Let n(j) = 2428*j + 12140. Let q be n(-5). Suppose 5*b = 4*p + 13, 4*b - 8 - 6 = 2*p. What is m in 3/2*m**p - m**2 + 1/4*m**5 + 1/4*m + q - m**4 = 0?
0, 1
Let y(o) be the third derivative of o**8/336 - 194*o**7/21 + 47045*o**6/4 - 22816825*o**5/3 + 55330800625*o**4/24 + 11*o**2 + 51. Solve y(v) = 0 for v.
0, 485
Let l be (0 - -2)*(-15)/(-18)*(-6)/(-5). Let a(f) be the first derivative of 0*f + 9/20*f**5 + 7/12*f**3 - 15/16*f**4 - 1/8*f**l - 11. Factor a(p).
p*(p - 1)*(3*p - 1)**2/4
Let s be ((-9)/27)/((-144)/168 - (-249)/315). Let a(g) be the first derivative of 16 + 0*g + 0*g**2 + 2/15*g**s + 1/2*g**4 + 0*g**3. Let a(k) = 0. What is k?
-3, 0
Suppose -3/4*w**4 + 0 - 54621/4*w - 327/4*w**3 - 9945/4*w**2 = 0. What is w?
-51, -7, 0
Let f(i) be the first derivative of 0*i - 2/25*i**5 - 9/5*i**2 - 7/10*i**4 - 2*i**3 + 48. Factor f(r).
-2*r*(r + 1)*(r + 3)**2/5
Let o(x) be the second derivative of 4*x**7/273 + 11*x**6/65 - 112*x**5/65 + 49*x**4/13 - 68*x**3/39 - 3*x**2 - 10*x - 56. Solve o(d) = 0.
-13, -1/4, 1, 3
Factor 137*t - 38*t + 20*t - 45*t - 4*t**2 + 16*t + 46.
-2*(t - 23)*(2*t + 1)
Let s(x) be the second derivative of x**5/10 - 29*x**4/6 - 10*x**3 + 1640*x. Factor s(z).
2*z*(z - 30)*(z + 1)
Let c(v) = -7*v**3 + 21*v**2 + 10*v + 6. Let s(m) = 24*m**3 - 83*m**2 - 41*m - 22. Let k(z) = -11*c(z) - 3*s(z). Factor k(g).
g*(g + 1)*(5*g + 13)
Solve -3*c**3 + 13*c**3 - 530*c**2 - 487*c - 15*c**4 - 665*c - 8*c**3 + 41*c**4 - 2*c**5 - 648 = 0 for c.
-2, -1, 9
Let b be (-22 + (-4000)/(-180))*(-54)/(-6). Let 0 - 13/4*j - 1/4*j**b = 0. What is j?
-13, 0
Let j = 2927028/5 + -37942394/65. Let i = j + -1676. Suppose 2/13*g**3 - i*g**2 + 0 + 0*g = 0. Calculate g.
0, 3
Let p be 5 + -8 + (-90)/(-15). Let k(d) be the third derivative of p*d**5 + 0*d + 9*d**2 + 0*d**3 + 0 - 1/2*d**6 + 0*d**4 + 1/42*d**7. Factor k(r).
5*r**2*(r - 6)**2
Let n(k) be the third derivative of k**6/30 - 77*k**5/15 + 1495*k**4/6 - 5746*k**3 + 1053*k**2. Find c, given that n(c) = 0.
13, 51
Let w = 99 - 101. Let d be w*6/84 - (-3550)/7. Determine u, given that 4*u + 8*u**3 + 8*u - 2*u**4 + d*u**2 - 485*u**2 = 0.
-1, 0, 6
Let i(r) = r**3 + 5*r**2 - 6*r + 3. Suppose -14*c + 6*c - 48 = 0. Let w be i(c). Solve -8 + 0*v**3 - 2*v**w - 203*v**2 + 209*v**2 = 0.
-1, 2
Find z such that 7696*z + 1328 - 4*z**2 - 3333*z - 3707*z = 0.
-2, 166
Let i(s) be the second derivative of s**7/462 + 3*s**6/110 + 9*s**5/110 - s**4/6 - 17*s**3/22 + 45*s**2/22 + 6*s + 506. What is w in i(w) = 0?
-5, -3, 1
Let h(k) be the first derivative of -k**4/8 - 16*k**3/3 + 35*k**2/4 + 33*k - 5287. What is f in h(f) = 0?
-33, -1, 2
Determine l so that -3*l**2 - 14273*l + 14468*l - 2150 - 892 = 0.
26, 39
Let h(w) be the first derivative of 3*w**4/4 - 96*w**3 + 7695*w**2/2 - 36450*w + 1542. Determine g so that h(g) = 0.
6, 45
Let u(l) be the third derivative of l