**3 + 4*x**v.
-x*(x - 4)**2
Let o(d) be the third derivative of d**5/330 + 16*d**4/33 + 180*d**3/11 - d**2 - 1288*d + 1. Factor o(u).
2*(u + 10)*(u + 54)/11
Let p(k) be the first derivative of -15*k**4/4 - 115*k**3/3 + 175*k**2/2 - 45*k - 406. Factor p(z).
-5*(z - 1)*(z + 9)*(3*z - 1)
Suppose -47*d - 464 = -49*d + 5*l, -2*d - 3*l + 496 = 0. Suppose -11*n - 23*n + 100 - d*n**2 + 237*n**2 - 6*n = 0. Calculate n.
-10, 2
Let z be (10/8)/5*12. Suppose 3 = z*x - 3. Determine s, given that -2/7*s + 2/7*s**x - 2/7*s**4 + 2/7*s**3 + 0 = 0.
-1, 0, 1
Suppose -6 = -3*b + 6, 0 = -2*i - 4*b + 20. Factor 472*q**i - 237*q**2 - 240*q**2 - 10*q.
-5*q*(q + 2)
Let q = 1121952/85351 + -28/12193. What is v in 8/7 - 30/7*v**4 + q*v**3 - 62/7*v**2 - 8/7*v = 0?
-1/3, 2/5, 1, 2
Let 2/5*s**2 - 336/5 + 106/5*s = 0. Calculate s.
-56, 3
Let n(i) be the third derivative of i**8/112 - i**7/30 + i**6/60 + 990*i**2. Factor n(o).
o**3*(o - 2)*(3*o - 1)
Let b(g) be the first derivative of -7/3*g**2 + 7/6*g**4 - 50 - 4/9*g**3 + 4/3*g. Factor b(k).
2*(k - 1)*(k + 1)*(7*k - 2)/3
Factor 2872/7 - 1444/7*b + 4/7*b**2.
4*(b - 359)*(b - 2)/7
Let z = 1347 + -1345. Factor -3/4*u**z + 0*u + 0 - 1/4*u**4 - u**3.
-u**2*(u + 1)*(u + 3)/4
Factor 0 + 0*v - 1/5*v**3 - 1/5*v**4 + 2/5*v**2.
-v**2*(v - 1)*(v + 2)/5
Let q(h) be the second derivative of 7*h**5/130 - 16*h**4/39 + 47*h**3/39 - 22*h**2/13 - 2*h - 701. Find t, given that q(t) = 0.
1, 11/7, 2
Let n(w) be the third derivative of -w**6/30 + 16*w**5/15 + 8*w**4 - 768*w**3 - 4331*w**2. Factor n(g).
-4*(g - 12)**2*(g + 8)
Let v(h) be the first derivative of -3/35*h**5 + 3/4*h**4 + 0*h**2 + 23 + 0*h - 10/7*h**3. Suppose v(a) = 0. Calculate a.
0, 2, 5
Let z(w) be the first derivative of 3*w**4/20 + 143*w**3/5 + 15549*w**2/10 + 15123*w/5 - 2573. Let z(c) = 0. Calculate c.
-71, -1
Suppose 0 = -131*a + 132*a - 5. Suppose -a*d - 2 = -4*i + 6, -2*d - 3*i + 6 = 0. Factor 0*c + 6/5*c**3 + 33/5*c**4 + 27/5*c**5 + d*c**2 + 0.
3*c**3*(c + 1)*(9*c + 2)/5
Suppose a = -3*k + 55, 4*a = -193*k + 188*k + 101. Let i(q) be the first derivative of 7/11*q**2 + 2/33*q**3 + k + 12/11*q. Determine u, given that i(u) = 0.
-6, -1
Let x(j) = -7*j**2 + j. Let a = 21 - 23. Let f(g) be the first derivative of 2*g**3 - g**2 - 3. Let r(b) = a*x(b) - 3*f(b). Factor r(o).
-4*o*(o - 1)
Let x(a) be the second derivative of 9*a**5/140 + 11*a**4/84 - 8*a**3/7 - 4269*a. Factor x(k).
k*(k + 3)*(9*k - 16)/7
Suppose -4*o = 5*p - 3377, 17*p - 18*p + 688 = 5*o. Factor -338*m**3 - 15*m**2 + p*m**3 - 340*m**3.
-5*m**2*(m + 3)
Let u be ((-27468)/8829)/(10*(-4)/36). Find q such that -u*q + 2/5*q**2 + 0 = 0.
0, 7
Let j(a) be the third derivative of a**5/120 + 665*a**4/48 + 166*a**3/3 + 6109*a**2. Factor j(f).
(f + 1)*(f + 664)/2
Let t be (-10)/(-45) + 0 + 125/45. Let x(g) be the second derivative of -5/6*g**t - 1/4*g**5 + 0*g**2 + 14*g - 5/6*g**4 + 0. Let x(h) = 0. Calculate h.
-1, 0
Let f(p) be the first derivative of 7*p**4/4 + 379*p**3/9 + 8*p**2/3 - 12*p - 1429. What is k in f(k) = 0?
-18, -1/3, 2/7
Let r be ((-16)/36 - (-1088)/(-3060)) + (-1)/(200/(-245185)). Suppose r*v**3 - 189/2*v + 3 + 2673/4*v**2 = 0. Calculate v.
-2/3, 2/33
Let x(m) be the first derivative of -m**6/27 - 226*m**5/45 - 2891*m**4/18 + 34810*m**3/27 + 6338. Suppose x(n) = 0. What is n?
-59, 0, 5
Suppose 320*o + 1860 = 332*o. Let a = 623/4 - o. Factor -1/4*f**2 + 1 - a*f.
-(f - 1)*(f + 4)/4
Let q(y) be the second derivative of -y**4/8 - 67*y**3/2 - 13467*y**2/4 + 2753*y. What is i in q(i) = 0?
-67
Let d = 33 + -23. Let r be (27/(-15))/(-3) + 54/d. Factor 3584 + 4*q + 2*q**3 - r*q**2 - 3584.
2*q*(q - 2)*(q - 1)
Let o = 141943/1050 - 23628/175. Let 0 + 1/6*g**3 - g - o*g**2 = 0. Calculate g.
-2, 0, 3
Factor 431*a**2 - 847*a**2 + 418*a**2 + 180 + 46*a.
2*(a + 5)*(a + 18)
What is f in 0*f + 0 + 4*f**4 + 6/5*f**3 + 14/5*f**5 + 0*f**2 = 0?
-1, -3/7, 0
Let h(i) be the first derivative of i**3/3 - 2*i**2 - 8*i + 13. Let l be h(6). Factor 12*s**l + 643*s**2 + 11*s + s - 607*s**2 - 45*s**3.
3*s*(s - 2)**2*(4*s + 1)
Factor -724/3*o**2 + 4/3*o**3 + 0 + 240*o.
4*o*(o - 180)*(o - 1)/3
Let g(z) be the third derivative of 0*z**3 + 0 + 1/5*z**6 + 0*z + 55*z**2 + 2/105*z**7 + 0*z**4 + 3/5*z**5. Determine s so that g(s) = 0.
-3, 0
Let x(g) = -g**2 + 13*g + 70. Let o be x(-4). Suppose 11*u**3 - 1339*u + 1604*u + 216*u**o + 4*u**3 - 110 - 26*u**2 = 0. What is u?
-11, -2, 1/3
Let d be 36/8*4/9. Solve -2*q - 4*q**3 + 12 + 313*q**2 - 166*q**2 + 6*q - 159*q**d = 0 for q.
-3, -1, 1
Let z = 8999081/5 + -1799815. Solve z*o + 1/10*o**3 + 4/5 + 3/5*o**2 = 0 for o.
-2
Let g(p) be the third derivative of 35*p**4 + 75*p**3 + 11*p**2 - 59/30*p**5 + 1/30*p**6 + 0 + 0*p. Suppose g(h) = 0. What is h?
-1/2, 15
Let b = -59 + 61. Let d(s) = 3 + 0 + 5*s - b - 4*s. Let x(n) = 2*n**2 - 18*n - 12. Let p(w) = 28*d(w) + 2*x(w). Factor p(y).
4*(y - 1)**2
Let w be (58 - 4123/70)/((-6)/256). Factor 304/5*a + 36/5*a**3 + 2/5*a**4 + w + 168/5*a**2.
2*(a + 2)**3*(a + 12)/5
Factor 28/3*h**2 - 2/3*h**4 - 32*h + 14/3*h**3 + 0.
-2*h*(h - 8)*(h - 2)*(h + 3)/3
Let f be ((-1420)/(-210))/((-576)/(-81)). Let g = 189/32 + f. Factor 0*k + 0 + g*k**4 - 36/7*k**3 - 20/7*k**5 + 8/7*k**2.
-4*k**2*(k - 1)**2*(5*k - 2)/7
Let u = -24389/2 + 11886. Let j = -301 - u. Suppose 25/4*s**2 + 0 + j*s - 10*s**3 - 15/4*s**4 = 0. Calculate s.
-3, -2/3, 0, 1
Factor -962*o**3 - 143*o + 215*o**3 + 45*o**4 - 835*o**2 + 3*o - 483*o**3.
5*o*(o - 28)*(3*o + 1)**2
Let q = 138190/27 - 551221/108. Factor -3*b**2 + 3/4*b**3 - q*b - 21/2.
3*(b - 7)*(b + 1)*(b + 2)/4
Let f(t) be the third derivative of t**6/320 + t**5/40 - 3*t**4/2 - 300*t**2. Factor f(y).
3*y*(y - 8)*(y + 12)/8
Let n = -16062/197 - -94179/394. Find b, given that -60*b - 5/2*b**2 - n = 0.
-21, -3
Let a(o) = -10*o**2 + 734*o - 1508. Let d(i) = 2*i**2 + 5*i + 2. Let q(c) = -a(c) - 4*d(c). Find v, given that q(v) = 0.
2, 375
Suppose 15*d + 40 = -5*c + 11*d, -51 = 3*d - 21. Find t, given that -2/3*t**2 + c - 12*t = 0.
-18, 0
Let q(j) = 61842*j + 248336. Let l be q(-4). Determine a, given that -44*a**2 - 21296/3 - l*a - 2/3*a**3 = 0.
-22
Suppose 627*s + 33 = 632*s - 3*n, 2*s + 5*n + 24 = 0. Let u(t) be the third derivative of 1/90*t**5 - 1/6*t**4 + 5/9*t**s - 12*t**2 + 0 + 0*t. Factor u(q).
2*(q - 5)*(q - 1)/3
Let u(d) be the second derivative of d**5/5 + 3*d**4 - 144*d**3 - 4320*d**2 + 4618*d. Factor u(h).
4*(h - 15)*(h + 12)**2
Let g = -592/417 + 290/139. Solve 1/9*w**5 - 4/9*w**2 - 4/9*w**4 + 0 + g*w**3 + 1/9*w = 0.
0, 1
Suppose 19*f - 6*f = -0*f. Let -5*a**3 + 2*a**3 + 9*a**2 - 5*a + f*a - a**4 = 0. Calculate a.
-5, 0, 1
Let b(a) = -6*a**2 + 21*a - 15. Suppose -10*d + 8 = 28. Let n(y) = -5*y**2 + 21*y - 16. Let f(z) = d*b(z) + 3*n(z). Factor f(q).
-3*(q - 6)*(q - 1)
Suppose r + 7 - 12 = 0. Suppose -7*t = -r*t - 6. Factor 12*m + 20*m**2 + 9*m**t + 18*m**2 - 24 - 8*m**2.
3*(m + 2)**2*(3*m - 2)
Let j(d) be the second derivative of -5*d**7/14 - 284*d**6/3 - 741*d**5/4 + 2605*d**4/3 + 2510*d**3 + 1880*d**2 - 12938*d. Suppose j(s) = 0. What is s?
-188, -2, -1, -1/3, 2
Let a(o) = -2*o**3 + 134*o**2 - 2456*o + 6. Let u(y) = -y**2 - y + 1. Suppose -2*w = 4*f + 6, -3*w = f + 2 + 2. Let q(b) = w*a(b) + 6*u(b). Factor q(j).
2*j*(j - 35)**2
Suppose -25*j = 31*n - 28*n - 273, -4*n + 4*j = -28. Factor n*m - 18 - 32/9*m**2.
-2*(4*m - 9)**2/9
Let h = -13556/7 + 67808/35. Let r(g) be the first derivative of 2/5*g**5 + 0*g**2 - 32 - h*g**4 + 0*g - 8/15*g**3. Solve r(y) = 0 for y.
-2/5, 0, 2
Let x = 1977/58 - 162/29. Let m(o) be the first derivative of -6*o + 10*o**3 - 27 - x*o**2. Determine c so that m(c) = 0.
-1/10, 2
Let h(w) be the first derivative of w**5/130 + 7*w**4/78 + 10*w**3/39 - 264*w + 198. Let o(r) be the first derivative of h(r). Factor o(l).
2*l*(l + 2)*(l + 5)/13
Let o(h) be the second derivative of h**6/90 - h**4/6 + h**3 + h**2 - 7*h + 3. Let f(w) be the second derivative of o(w). Factor f(g).
4*(g - 1)*(g + 1)
Factor -167*s - 127*s**2 - 68*s**3 - 2*s**4 - 83*s**2 - 13*s + 76*s**2 - 112*s**2.
-2*s*(s + 1)*(s + 3)*(s + 30)
Let f(q) be the first derivative of -2/5*q**5 + 0*q**2 + 45 + 0*q + 9*q**4 - 54*q**3. Find z, given that f(z) = 0.
0, 9
Factor -16/9*c - 14/9 - 2/9*c**2.
-2*(c + 1)*(c + 7)/9
Let p(o) = -2*o - 47. Let j = 597 - 623. Let u be