/22 - 43*w**2/11 - 52*w + 3. Solve o(i) = 0.
-86, 1
Factor -14/17*g**2 - 2/17*g**3 + 108/17*g - 144/17.
-2*(g - 3)*(g - 2)*(g + 12)/17
Let k(x) be the first derivative of -16 - 8/15*x**3 + 0*x + 0*x**2 + 1/5*x**4. Factor k(c).
4*c**2*(c - 2)/5
Let c(b) be the first derivative of 0*b**2 - 2/9*b**3 + 2/15*b**5 + 0*b + 199 - 1/4*b**4. Suppose c(f) = 0. What is f?
-1/2, 0, 2
Let w be 1/4 - 4/(-48)*177. Let r be (1 + (-3)/w)*10. Let 4*c**3 + c**3 + 2*c**2 + r + 12 - 17*c**2 = 0. Calculate c.
-1, 2
Factor 15*x**4 - 4530*x**3 + 11*x**4 - 25*x**4 - 4*x**4.
-3*x**3*(x + 1510)
Let t(m) be the second derivative of 4 - 2/15*m**6 - 8/5*m**2 - 1/50*m**5 - 1/35*m**7 + 3/5*m**4 - 3*m + 4/15*m**3. Let t(r) = 0. Calculate r.
-2, -1, 2/3, 1
Let k(a) be the third derivative of 7*a**7/6 - 35*a**6/2 - 188*a**5/3 + 110*a**4 - 200*a**3/3 + 2*a**2 + 9. Determine i so that k(i) = 0.
-2, 2/7, 10
Let g(o) be the second derivative of 9*o**6/5 + 111*o**5/10 + 115*o**4/18 - 529*o**3/9 - 889*o. Factor g(l).
2*l*(l - 1)*(9*l + 23)**2/3
Suppose -6 = -4*v + 34. Suppose v*h - 24 = 2*h. Factor -p + 68*p**3 - 63*p**h + p.
5*p**3
Suppose 2*o - 7*b + 6*b - 8 = 0, -o + 11 = -4*b. Let -3*v**o + 5*v**5 + 7*v**3 - 8*v**3 + 0*v**3 - v**3 = 0. What is v?
-1, 0, 1
Let g(m) be the second derivative of -m**8/2184 + 2*m**7/1365 - m**6/780 + 24*m**2 - 101*m. Let u(j) be the first derivative of g(j). Factor u(w).
-2*w**3*(w - 1)**2/13
Let o be ((-20)/6)/((-3773)/(-1260) - 3). Let u = o + -2399/4. Find f such that f**4 - 1/2 - f**3 + 5/4*f - 1/2*f**2 - u*f**5 = 0.
-1, 1, 2
Suppose 2*c = -c + 36. Let x = c + -8. Factor 3 + 18*t - 5 + 2*t**2 - 14*t - x*t**3.
-2*(t - 1)*(t + 1)*(2*t - 1)
Let y(r) be the first derivative of 191*r**3 + 484*r + 506*r**2 + 199 + 23/2*r**4 + 1/5*r**5. Factor y(q).
(q + 1)**2*(q + 22)**2
Suppose -755*y - 836 = -964*y. Factor y + 26/3*b + 4/3*b**2.
2*(b + 6)*(2*b + 1)/3
Let o = 623 + -622. Let v be 19/((2 - 2 - -1)/o). Factor v*d + 5/3*d**3 - 32/3*d**2 - 6.
(d - 3)**2*(5*d - 2)/3
Let q(y) be the second derivative of -64/7*y**2 - 80/21*y**3 - 6/7*y**4 - 1/10*y**5 + 49*y - 1/210*y**6 + 0. Determine k so that q(k) = 0.
-4, -2
Suppose 5/6*s**2 + 1825/6*s + 3610/3 = 0. What is s?
-361, -4
What is d in -8*d**4 + 15*d**3 - 21*d + 21*d**3 + 88 - 27*d + 12*d - 92*d**2 + 12*d**4 = 0?
-11, -1, 1, 2
Let y(v) be the third derivative of -65/24*v**4 + 0*v + 0 - 5/4*v**5 - 83*v**2 + 5/3*v**3. Factor y(m).
-5*(m + 1)*(15*m - 2)
Let t(m) = m**3 + 2*m**2 + m + 2. Suppose -8 = -5*a - 2*p, 0*a - 4*a - 12 = -3*p. Let u be t(a). Factor 3*h**4 - 12*h**4 + 39*h**2 - 18*h**u - 6*h - 6*h**3.
-3*h*(h - 1)*(h + 2)*(3*h - 1)
Let g(a) = 4*a**3 + 285*a**2 + 1485*a + 1226. Let f(w) = 540 + 95*w**2 - 131 + 163*w + 332*w + w**3. Let v(d) = 11*f(d) - 4*g(d). Factor v(i).
-5*(i + 1)*(i + 9)**2
Suppose y + 5 = 7. Suppose -120 + 2*z - 172*z + 5*z**3 - 126309*z**2 + 126264*z**y = 0. Calculate z.
-2, -1, 12
Find p such that 2/15*p**4 + 0 + 18*p - 314/15*p**2 + 14/5*p**3 = 0.
-27, 0, 1, 5
Let d(a) be the third derivative of 76*a**2 + 1/45*a**5 + 1/18*a**4 + 0 + 0*a - 4/3*a**3. Find b, given that d(b) = 0.
-3, 2
Let a(d) be the first derivative of 14*d**5/45 + 34*d**4/9 + 58*d**3/27 - 140*d**2/9 + 8*d + 195. Find q such that a(q) = 0.
-9, -2, 2/7, 1
Factor -38*q - 115/3 + 1/3*q**2.
(q - 115)*(q + 1)/3
Let v(h) = -4*h**3 - 56*h**2 - 164*h + 208. Let i(y) = 3*y**3 + 54*y**2 + 165*y - 208. Let z(d) = -8*i(d) - 7*v(d). Let z(k) = 0. Calculate k.
-4, 1, 13
Let f(y) = 5*y**4 - 32*y**3 - 6*y**2 + 2. Let o(t) = 24*t**4 - 129*t**3 - 27*t**2 + 9. Let a(v) = -9*f(v) + 2*o(v). Factor a(u).
3*u**3*(u + 10)
Factor -3/4 - 7/8*d + 3/8*d**3 - 1/8*d**4 + 3/8*d**2.
-(d - 3)*(d - 2)*(d + 1)**2/8
Let f(r) = -11*r**2 + 3789*r - 1797411. Let m(d) = -19*d**2 + 7579*d - 3594821. Let q(o) = 5*f(o) - 3*m(o). Factor q(n).
2*(n - 948)**2
Factor 11/5*q**2 + 0 - 1/5*q**3 - 28/5*q.
-q*(q - 7)*(q - 4)/5
Suppose 0 = -400*x + 426*x - 52. Let j(h) be the first derivative of -4/3*h**3 - 1/2*h**4 + 4*h + h**x + 2. Factor j(r).
-2*(r - 1)*(r + 1)*(r + 2)
Let o(z) be the first derivative of 4*z**5/45 + 5*z**4/3 - 152*z**3/9 + 488*z**2/9 - 224*z/3 - 1370. Factor o(j).
4*(j - 2)**3*(j + 21)/9
Let b(v) be the second derivative of -3/4*v**2 + 1/16*v**4 - 3 - 8*v + 7/24*v**3. Factor b(z).
(z + 3)*(3*z - 2)/4
Suppose 7 = 2*k - 175. Suppose -7*p + 8*p - 3 = -3*l, -5*p + 4*l = -k. Let -18*m - 2*m**2 + p*m - 18 - m**2 + 6*m**2 = 0. Calculate m.
-2, 3
Let l(s) be the third derivative of 5*s**8/336 + 5*s**7/42 - 7*s**6/24 - 5*s**5/12 + 5*s**4/4 + 23*s**2 - 2. Factor l(j).
5*j*(j - 1)**2*(j + 1)*(j + 6)
Let 24/5*n**4 + 14/5*n**5 + 0 - 22/5*n**3 + 8/5*n - 24/5*n**2 = 0. What is n?
-2, -1, 0, 2/7, 1
Let s(x) be the second derivative of x**4/15 + 18*x**3/5 + 304*x**2/5 + 1256*x. Factor s(o).
4*(o + 8)*(o + 19)/5
Factor 355*i - 5/4*i**2 - 25205.
-5*(i - 142)**2/4
Let s = -103 - -1441/15. Let h = 184/15 + s. Determine o so that -10/9*o**4 - 44/3*o**2 + 22/3*o**3 + h + 56/9*o = 0.
-2/5, 2, 3
Let y(b) = -5*b**2 + 62. Let d be y(-10). Let z = d - -441. Factor 1/5*i**z + 0 + 2/5*i - 3/5*i**2.
i*(i - 2)*(i - 1)/5
Let k(s) be the second derivative of 1/30*s**5 - 2/9*s**3 + 0 - 1/90*s**6 + 148*s - 2/3*s**2 + 1/12*s**4. Let k(l) = 0. Calculate l.
-1, 2
Let m(q) = -2*q**2 + 2*q - 1. Let d(u) = 7*u**2 - 310*u + 5. Let f(w) = d(w) + 5*m(w). Factor f(z).
-3*z*(z + 100)
Let z(j) = -j**2 + 17*j - 27. Let k be z(15). Suppose 0*h + 3*g - 13 = -h, k*h - 2*g - 6 = 0. Factor 3*a**3 + 192*a**2 + 9*a**h + 2*a - 5*a - 201*a**2.
3*a*(a - 1)*(a + 1)*(3*a + 1)
Let n(w) be the third derivative of w**7/420 + w**6/105 - w**5/105 + 13*w**3 - 83*w**2. Let i(y) be the first derivative of n(y). Determine q so that i(q) = 0.
-2, 0, 2/7
Let r(q) be the first derivative of 4*q**3/3 - 38*q**2 + 336*q - 1770. Let r(j) = 0. Calculate j.
7, 12
Let b be (-2)/(-9) + 32/99 - (-4181842)/93544. Find r, given that 9*r + 1 + 129/4*r**4 + 35/4*r**5 + b*r**3 + 119/4*r**2 = 0.
-1, -2/5, -2/7
Let j(p) = p**2 + 1363 - 1363 + 2*p - 3*p. Let w(g) = 19 + 5*g + 9*g + 21*g**2 + 13 - 7*g**2. Let o(x) = 10*j(x) - w(x). Suppose o(i) = 0. Calculate i.
-4, -2
Let n(x) be the first derivative of 1/3*x**3 - x**4 + 0*x + 3*x**2 + 1/5*x**5 - 67. Factor n(o).
o*(o - 3)*(o - 2)*(o + 1)
Let f(s) = 2*s**2 + 3207*s - 1634. Let k(t) = -12*t**2 - 22446*t + 11451. Let b(i) = -15*f(i) - 2*k(i). Factor b(q).
-3*(q + 536)*(2*q - 1)
Let o(a) be the second derivative of -a**5/80 + a**4/4 - 2*a**3 + 13*a**2 + 7*a - 4. Let f(c) be the first derivative of o(c). Suppose f(m) = 0. What is m?
4
Let q(i) = -2*i**4 + 201*i**3 - 4616*i**2 - 5194*i + 9597. Let k(r) = -r**3 + 2*r**2 + 1. Let b(g) = -7*k(g) - q(g). Factor b(u).
2*(u - 49)**2*(u - 1)*(u + 2)
Let o(l) = 2*l**2 - 14*l - 120. Let i be o(-9). Let a be 2/(2 - -14) + 363/i. Factor -2/7*v**2 + a*v - 32/7.
-2*(v - 4)**2/7
Let f(o) be the third derivative of 7/6*o**3 + 0 + 1/180*o**5 + 82*o**2 + 0*o + 5/36*o**4. Factor f(t).
(t + 3)*(t + 7)/3
Let j = 70454/3 + -23844. Let b = j + 360. Determine d so that 2 + 2/3*d**2 - b*d**3 + 10/3*d = 0.
-1, 3
Let x(b) = 12*b**2 + 220*b - 648. Let q(l) = -5*l**2 - 94*l + 278. Let z(t) = -16*q(t) - 7*x(t). Factor z(g).
-4*(g - 2)*(g + 11)
Let s(k) be the second derivative of -185*k**4/48 - 5*k**3/12 - 10*k + 50. Solve s(x) = 0.
-2/37, 0
Let u(g) = 17*g - 467. Let t be u(29). Factor -2526*j + 11*j**2 + j**3 + 2579*j - t - 39*j**2.
(j - 26)*(j - 1)**2
Let y(z) = 6*z + 368. Let v be y(-61). Let c(b) be the second derivative of 0 + 0*b**3 + 0*b**v - 1/6*b**4 + 2*b. Factor c(o).
-2*o**2
Let y(z) be the third derivative of 5*z**6/24 - 17*z**5/3 + 685*z**4/24 + 55*z**3 - 165*z**2. Find h, given that y(h) = 0.
-2/5, 3, 11
Let h(b) be the second derivative of -b**5 - 25/12*b**4 - 48*b + 0*b**2 - 1/6*b**6 + 0 - 5/3*b**3. Factor h(i).
-5*i*(i + 1)**2*(i + 2)
Let w(i) be the second derivative of -19/12*i**3 + 7/2*i**2 + 2*i + 1/6*i**4 - 3 + 1/40*i**5. Factor w(r).
(r - 2)*(r - 1)*(r + 7)/2
Let s = 1717798/536815 - -2/107363. Let 0*a - 12/5*a**2 + s - 4/5*a**3 = 0. What is a?
-2, 1
Let f = 2984/33 + -980/11. Let j(q) be the first derivative of -q**4 + 14 + f*q**3 + 0*q**2 + 0*q. Find b, given that j(b) = 0.
0, 1
Let g(o) be the first derivative of -3*o**4/8 - 37*o**3/24 - 27