3/3 - 5*r**2/2 + 112*r - 151. Let s(h) be the first derivative of n(h). Factor s(p).
-(p - 2)**2*(p + 5)/4
Determine t so that 1/2*t**3 + 59/3*t**2 + 560/3*t - 400/3 = 0.
-20, 2/3
Solve 0 + 0*p - 2/13*p**4 - 20/13*p**3 - 18/13*p**2 = 0 for p.
-9, -1, 0
Suppose -2*t = -5*z - 54, -495*z + 70 = -502*z. Factor 12/5 - 2*i - 2/5*i**t.
-2*(i - 1)*(i + 6)/5
Let p(t) = 3*t - 12. Let m(j) = j - 1. Let v(b) = -14*m(b) + 2*p(b). Let r be v(-2). Factor 3*g**3 - r*g**3 + g**3.
-2*g**3
Suppose -7*g + 32 = -3*g. Let y be (4/g)/((-3)/(-18)). Find w such that -3*w**2 + w**2 + w**2 - 1 - y*w + w = 0.
-1
Suppose 5*z - 75 = -10*z. Factor z*g**2 + 8*g**3 - 9*g**3 - 6*g**2 + 2*g.
-g*(g - 1)*(g + 2)
Let b(y) be the first derivative of 5*y**6/6 - 20*y**5 + 80*y**4 + 6335. Let b(h) = 0. Calculate h.
0, 4, 16
Let p(a) be the second derivative of -a**5/110 + 2*a**4/11 - 15*a**3/11 + 50*a**2/11 + 1709*a. Let p(y) = 0. What is y?
2, 5
Let s = -270146 - -2971670/11. Suppose 2/11*z**2 - s + 62/11*z = 0. Calculate z.
-32, 1
Let d(v) be the first derivative of 2*v**3/9 - 7*v**2 - 108*v - 2110. Factor d(z).
2*(z - 27)*(z + 6)/3
Let j(m) be the first derivative of 0*m**2 + 54 + 4/9*m**3 - 34/15*m**5 + 0*m - 2/3*m**6 - 3/2*m**4. Solve j(q) = 0 for q.
-2, -1, 0, 1/6
Let l(u) be the second derivative of -u**6/3 - 5*u**5/4 + 35*u**4/4 - 95*u**3/6 + 25*u**2/2 - 2*u - 44. Find x such that l(x) = 0.
-5, 1/2, 1
Let l(w) = -w**2. Let z(g) be the second derivative of 0 - 13/6*g**3 - 22*g + g**2 + 5/6*g**4. Let a(r) = -3*l(r) + 3*z(r). Suppose a(s) = 0. Calculate s.
2/11, 1
Let x(h) = 48*h + 6 - 17*h**2 + 15 + 6*h - 45*h. Let j(n) = 8*n**2 - 4*n - 10. Suppose 0*s + 26 = -2*s. Let u(b) = s*j(b) - 6*x(b). Factor u(m).
-2*(m - 1)*(m + 2)
Suppose 0 = -56*g - 155*g - 188*g + 1197. Factor 2/3*d**4 - 8/3*d**g - 4/3*d + 0 + 10/3*d**2.
2*d*(d - 2)*(d - 1)**2/3
Let j = -3883 - -3883. Let k(g) be the third derivative of 0 + 0*g**5 + 0*g + j*g**3 - 23*g**2 + 1/216*g**4 - 1/1080*g**6. Solve k(x) = 0 for x.
-1, 0, 1
Let h(j) be the second derivative of j**7/294 - 197*j**6/210 + 4997*j**5/70 - 14405*j**4/42 + 28421*j**3/42 - 9409*j**2/14 + 12*j - 6. Factor h(o).
(o - 97)**2*(o - 1)**3/7
Let l(v) be the second derivative of 3*v**5/40 + 101*v**4/2 - 811*v**3/4 + 609*v**2/2 + 56*v - 2. Solve l(n) = 0 for n.
-406, 1
Let p be 22604 - (8 + (6 - 10)). Suppose -624*q**2 - 562432 + 14975*q + 4*q**3 + p*q - 5127*q = 0. Calculate q.
52
Let f(i) be the first derivative of i**5/40 + i**4/24 - i**3/3 - i**2 + 54*i - 66. Let w(v) be the first derivative of f(v). Factor w(b).
(b - 2)*(b + 1)*(b + 2)/2
Let p(k) be the first derivative of k**5/10 + k**4/2 - 9*k**3/2 - 17*k**2/2 + 28*k + 484. Let p(v) = 0. Calculate v.
-7, -2, 1, 4
Let x = 135866 - 135864. Find u, given that -2187/8*u**3 - 3/8 + 159/8*u - 2025/8*u**x = 0.
-1, 1/27
Let z = 355453 + -355450. Determine d, given that 1/7*d**z - 12/7*d - 4/7*d**2 + 0 = 0.
-2, 0, 6
Suppose -2*t - 23 + 2 = 5*c, 4*t - 4*c - 28 = 0. Let b = 205122 + -820485/4. Factor -1/4 + u**t - b*u.
(u - 1)*(4*u + 1)/4
Let u be (2/(-4)*2)/(11/(-55)). Suppose 3*g - r - r = 28, -4*r = -u*g + 46. Find j, given that 12*j**2 - 17*j**3 + 8*j - 4*j + g*j**3 = 0.
-2/7, 0, 2
Let l(i) = 45*i**2 + 415*i - 405. Let u(t) = 5*t**2 + 46*t - 45. Suppose 9*z + 30 = 14*z. Let f(m) = z*l(m) - 55*u(m). Determine w, given that f(w) = 0.
-9, 1
Determine k, given that -55728/5*k - 2/5*k**3 - 59168 + 678/5*k**2 = 0.
-5, 172
Let y = -2385 + 2387. Let z(d) be the first derivative of 0*d + 2*d**y - 14 + 4/3*d**3. Let z(l) = 0. Calculate l.
-1, 0
Let c(t) be the second derivative of t**6/75 - 3*t**5/10 + 6*t**4/5 + 28*t**3/3 - 760*t. Let c(j) = 0. What is j?
-2, 0, 7, 10
Let k(s) = s**2 - s. Let a(q) = -q**2 + 83*q + 73. Let y(m) = a(m) + 3*k(m). Let z(g) = 6*g**2 + 238*g + 218. Let h(b) = -14*y(b) + 5*z(b). Factor h(n).
2*(n + 1)*(n + 34)
Suppose 5*p = 2*i - 4*i - 22, -2*p - 5 = -3*i. Let q be -85*p/300 - 4/(-4). What is f in 16/3*f**2 + 4/3*f**4 - 2/15*f**5 - 22/5*f**3 - q*f + 0 = 0?
0, 1, 4
Suppose 5*q + g = -176, 6*g = -q + 3*g - 38. Let l(a) = -a**2 - 10*a - 13. Let b(t) = -5*t**2 - 60*t - 75. Let o(c) = q*l(c) + 6*b(c). Factor o(r).
5*(r - 1)**2
Suppose -6 = 3*f - 5*f. Factor 5 - 2*l**2 + 6*l**2 + f - 7*l - 5*l**2.
-(l - 1)*(l + 8)
Find v, given that -v**4 + 2086887*v**2 + 126*v - 78*v**3 - 2086948*v**2 + 14*v**3 = 0.
-63, -2, 0, 1
Let o(j) be the third derivative of 0*j**3 + 4/5*j**4 - 28*j**2 + 0 - 1/75*j**5 + 0*j. Let o(s) = 0. What is s?
0, 24
Suppose 4*c - 90 = -2*f - 56, 3*c + 5*f = 64. Factor -7*t - 13/2*t**2 + 0 + 1/2*t**c.
t*(t - 14)*(t + 1)/2
Factor 52*t**3 - 638*t**2 - 50*t**3 - 49*t - 470*t**2 - 2175*t.
2*t*(t - 556)*(t + 2)
Factor -2/9*k**2 - 25604168/9 - 14312/9*k.
-2*(k + 3578)**2/9
Let q(b) be the third derivative of -43*b**5/180 - 29*b**4/24 - b**3/9 + b**2 + 132. Factor q(o).
-(o + 2)*(43*o + 1)/3
Let j be (-312)/(-96) + 2/(-8). Determine p, given that 20 - 5*p - 5 + 93*p**2 + 5*p**j - 108*p**2 = 0.
-1, 1, 3
Let p(a) = -a**3 + 2*a**2 + 31. Let j(y) = -32*y**3 + 660*y**2 - 184*y + 124. Let l(h) = j(h) - 4*p(h). Factor l(z).
-4*z*(z - 23)*(7*z - 2)
Let n(o) = -2*o**3 + 830*o**2 + 84862*o + 247246. Let q(i) = i**3 - 827*i**2 - 84860*i - 247248. Let k(m) = 3*n(m) + 4*q(m). Let k(u) = 0. What is u?
-203, -3
Let l(i) be the first derivative of -5*i**3/3 - 15*i**2 + 27*i + 50. Let t(a) = 3*a**2 + 30*a - 27. Let f(g) = -3*l(g) - 4*t(g). What is u in f(u) = 0?
1, 9
Let q(o) be the third derivative of o**7/5040 - o**6/16 + 135*o**5/16 - 127*o**4/24 + o**3/6 - 35*o**2. Let x(p) be the second derivative of q(p). Factor x(h).
(h - 45)**2/2
Let u(s) be the first derivative of s**3/3 - 2*s**2 - 252*s - 71. Factor u(y).
(y - 18)*(y + 14)
Suppose 4*m - 7*b + 3*b = 8, m - 2*b - 2 = 0. Factor -31*a - 2*a**4 + 35*a + 70*a**2 - 8*a**3 + m*a**3 + 2*a**5 - 32*a**2 - 36*a**2.
2*a*(a - 2)*(a - 1)*(a + 1)**2
Let o = 72 + -66. Suppose -15 = d - o*d. Factor 57*v - 3*v**4 - 9 - 6*v**d + 4*v**2 - 51*v + 8*v**2.
-3*(v - 1)**2*(v + 1)*(v + 3)
Find l, given that 19 + 3*l**3 - 301 + 145*l**2 + 18*l**2 + 323*l - 15*l**2 = 0.
-47, -3, 2/3
Let q(h) be the third derivative of 1/56*h**6 + 3*h**2 + 4*h - 3/28*h**4 + 1/784*h**8 - 9/490*h**7 - 8/7*h**3 + 5/28*h**5 + 0. Determine c, given that q(c) = 0.
-1, 1, 2, 8
Let l(o) = o + 2. Let a be l(1). Let y(v) = v**2 - 1. Let m be y(a). Find h, given that -13*h**2 - m + 9*h**2 + 6*h + 4*h**2 + 2*h**2 = 0.
-4, 1
Suppose -4*x + 3918 = -2*l + 1000, 4*l + 5821 = 3*x. Let d = l + 4384/3. Factor -70/3*t - 49/3*t**2 - d.
-(7*t + 5)**2/3
Suppose -142 + 156 = 7*t. Let k(y) be the third derivative of 0 + 0*y + 11/6*y**4 + 14/15*y**5 - 3*y**t + 4/3*y**3. Determine n, given that k(n) = 0.
-1/2, -2/7
Let s = -12286/645 + 6102/215. Factor -32/3*b**2 + 58/3*b + 2/3*b**3 - s.
2*(b - 14)*(b - 1)**2/3
Suppose -1431 = -a - 1431. Let i be (7 - (-119)/(-14))*(-2 + a). Find m such that 0*m**2 + i - 3/2*m**3 + 9/2*m = 0.
-1, 2
Let w(i) be the first derivative of -i**7/1008 + i**6/144 + 7*i**3/3 - 5*i + 193. Let v(b) be the third derivative of w(b). Factor v(m).
-5*m**2*(m - 3)/6
Factor -1/5*f**3 - 46/5*f**2 + 9/5*f + 414/5.
-(f - 3)*(f + 3)*(f + 46)/5
Let a(r) be the first derivative of -r**5/12 - 5*r**4/12 + 20*r**3/3 - 5*r**2 - 9. Let n(c) be the second derivative of a(c). Solve n(t) = 0.
-4, 2
Let k be (2*(-4)/128)/(279/(-1860)). Let r(u) be the third derivative of -k*u**4 + 0*u + 1/12*u**5 + 0*u**3 + 0 + 2*u**2. Factor r(q).
5*q*(q - 2)
Let h be -1 + 116/10 + (3 + -16 + 46 - 43). Solve -h*y**2 + 276/5*y - 6348/5 = 0 for y.
46
Let x(n) = -n**3 - 15*n**2 - 15*n - 1. Let m be x(-14). Suppose 0 = -2*s - m + 19. Solve -3271*v + 4*v**2 + s - 19 + 3271*v = 0 for v.
-2, 2
Let i = 864 + 200. Determine s so that -2 - 2*s + i*s**2 + 2*s - 1062*s**2 = 0.
-1, 1
Suppose 0 = 3*v - 0*v - 3, 4*s - 115 = -3*v. Let p be (-38)/133 + 15/s. Determine a, given that p + 1/4*a**2 + 1/2*a = 0.
-1
Let a(x) be the third derivative of x**7/210 - x**6/40 - 9*x**5/10 + 2*x**2 + 182. Determine u, given that a(u) = 0.
-6, 0, 9
Let p be ((-66)/24)/((-2)/8). Let d(i) = -i**2 - 17*i + 2. Let t be d(-17). Factor -2*j**t - 12 + 4*j + p*j - 3*j - j**2.
-3*(j - 2)**2
Let -150/7*r**2 - 324 - 2421/7*r + 3/7*r**3 = 0. What is r?
-12, -1, 63
Let p = 24