/69 + 2*o**2 - 402*o - 4. Let p(u) = 0. Calculate u.
-56, -2
Let j be -1*((-156 - -6) + (-1 - 4)). Factor 292*i**2 + 5*i**3 + 100*i + j*i - 157*i**2 + 125.
5*(i + 1)**2*(i + 25)
Suppose -3*d = -30*a + 28*a - 43, -4*d - 4*a - 56 = 0. Factor 0*b + 0 - 16*b**2 - 4/3*b**4 + 28/3*b**d.
-4*b**2*(b - 4)*(b - 3)/3
Let s(c) be the second derivative of -c**4/4 - 564*c**3 + 3387*c**2/2 + 3500*c. Factor s(a).
-3*(a - 1)*(a + 1129)
Let f(c) be the first derivative of c**4/30 - 16*c**3/15 - 21*c**2 + 5292*c/5 + 1722. Factor f(k).
2*(k - 21)**2*(k + 18)/15
Let y(o) = -o**3 + 76*o**2 - 1155*o. Let s be y(21). Suppose 15/2*i**4 + s*i + 0 + 6*i**2 - 3/2*i**5 - 12*i**3 = 0. What is i?
0, 1, 2
Let c be (-9 - (-4 + 664/(-72))) + (-2)/9. Let n(i) be the second derivative of -9/7*i**2 - 1/14*i**3 + 0 + 1/28*i**c + 15*i. Determine x so that n(x) = 0.
-2, 3
Let d(c) be the first derivative of 5*c**4/16 + 115*c**3/6 + 2525*c**2/8 - 690*c + 1572. Let d(i) = 0. Calculate i.
-24, -23, 1
Let w(c) be the third derivative of -5*c**8/336 - 2*c**7/21 + 7*c**6/24 + 17*c**5/6 - 5*c**4/2 - 60*c**3 + 16*c**2 - 22. Find o such that w(o) = 0.
-3, -2, 2
Let u(l) = 2*l**3 + 10*l**2 + 20*l. Let m(n) = 2*n**3 + 8*n**2 + 21*n. Let y = 465 - 461. Let d(k) = y*m(k) - 5*u(k). Factor d(p).
-2*p*(p + 1)*(p + 8)
Factor 5/6*k**5 - 27600*k**2 + 0 + 150*k**4 + 84640/3*k + 19330/3*k**3.
5*k*(k - 2)**2*(k + 92)**2/6
Let q(t) = -13*t**3 + 2484*t**2 - 120*t - 45. Let i(r) = r**3 + 8*r + 3. Let y(c) = 30*i(c) + 2*q(c). Factor y(h).
4*h**2*(h + 1242)
Let r(g) be the second derivative of 1/126*g**4 + 38/63*g**3 + 23 + 361/21*g**2 - g. Solve r(x) = 0.
-19
Let a = -2767 + 2771. Let j(v) be the second derivative of -1/10*v**6 + 0*v**3 - 1/14*v**7 + 3/10*v**5 + 0*v**a + v + 0 + 0*v**2. Find i, given that j(i) = 0.
-2, 0, 1
Let y(n) be the first derivative of -131 - 1/30*n**4 - 8/45*n**3 + 11/15*n**2 - 4/5*n. Determine o so that y(o) = 0.
-6, 1
Let v(p) = p**2 + p - 4. Let y(j) = -21*j**2 + 444*j + 537. Let h(c) = 18*v(c) + y(c). Suppose h(k) = 0. Calculate k.
-1, 155
Let k = -17406 + 17409. Let z(n) be the second derivative of 4/9*n**k + 1/90*n**5 + 8/9*n**2 - 17*n + 0 + 1/9*n**4. Factor z(q).
2*(q + 2)**3/9
Factor 1888/3*p - 1/6*p**2 - 1782272/3.
-(p - 1888)**2/6
Let l(n) be the second derivative of -n**8/6720 + n**6/720 + 3*n**4/4 + n**3/3 + 10*n. Let q(u) be the third derivative of l(u). Find x such that q(x) = 0.
-1, 0, 1
Factor -6*n**2 - 216*n + 0 + 1/3*n**5 - 20/3*n**4 + 109/3*n**3.
n*(n - 9)**2*(n - 4)*(n + 2)/3
Suppose -5*c**2 + 14*c**2 + 246*c + 257*c + 29 - 475*c - 10*c**2 = 0. What is c?
-1, 29
Let f(z) be the third derivative of -3*z**8/280 - 52*z**7/175 - 193*z**6/75 - 416*z**5/75 - 64*z**4/15 - 1403*z**2. Factor f(q).
-2*q*(q + 8)**2*(3*q + 2)**2/5
Let q(y) = -2*y**2 - 6*y + 2. Suppose 2*p + 2*t = -1 + 5, -5*p + 10 = 2*t. Suppose 10 = -p*c + 12. Let g(s) = -s + 1. Let i(x) = c*q(x) - 2*g(x). Factor i(k).
-2*k*(k + 2)
Let s(c) = 9*c + 31*c + 27 - 18*c - 5*c**2. Let f(a) = 110*a**2 - 485*a - 595. Let b(x) = -2*f(x) - 45*s(x). Factor b(q).
5*(q - 5)*(q + 1)
Suppose -22*t - t + 44 = -t. Factor 800/7 + 2/7*z**t - 80/7*z.
2*(z - 20)**2/7
What is x in -2/13*x**5 + 2176/13*x + 60/13*x**4 - 1332/13*x**2 + 3072/13 - 374/13*x**3 = 0?
-3, -1, 2, 16
Let k = 13081/7324 - 66/1831. Determine y, given that 7/2*y**2 + 0 - k*y**3 - 2*y + 1/4*y**4 = 0.
0, 1, 2, 4
Let k = -751301 - -751301. Factor -3/8*v**2 + 1/2 + k*v + 1/8*v**3.
(v - 2)**2*(v + 1)/8
Let f(j) = -93*j + 4467. Let v be f(48). Let -v*z + 3/5*z**2 + 12/5 = 0. Calculate z.
1, 4
Let m(u) be the first derivative of 8*u + 24 + u**4 - 2*u**2 - 8/3*u**3. Solve m(q) = 0 for q.
-1, 1, 2
Let l(n) be the third derivative of -1/75*n**5 + 1 - 8*n**2 + 1/840*n**8 + 0*n**3 + 0*n**4 - 4/525*n**7 + 1/60*n**6 + 0*n. Factor l(s).
2*s**2*(s - 2)*(s - 1)**2/5
Let i(k) be the third derivative of k**5/60 - 37*k**4/60 - 187*k**3/30 - 227*k**2 + 2. Factor i(v).
(v - 17)*(5*v + 11)/5
Suppose 2*c = -2*c + 132. Suppose 20*u = 23*u - c. Let 40*p**2 - 4*p**5 + 16*p**4 - 21*p**2 - 20*p**3 - u*p**2 = 0. Calculate p.
0, 1, 2
Let p(q) be the second derivative of q**4/4 - 1276*q**3 - 6405*q. Factor p(s).
3*s*(s - 2552)
Let m be (-7)/(-2)*2*(228/21)/19. Let w(o) be the third derivative of 0 + 0*o - 1/42*o**m + 0*o**3 + 1/105*o**5 - 3*o**2. Find f, given that w(f) = 0.
0, 1
Suppose 108/7*c - 45/7*c**2 + 0 + 3/7*c**4 - 6/7*c**3 = 0. Calculate c.
-4, 0, 3
Let i(u) be the second derivative of u**7/4200 + u**6/1800 - u**5/300 + 5*u**3 + 16*u. Let p(f) be the second derivative of i(f). Suppose p(m) = 0. Calculate m.
-2, 0, 1
Let t = 148666/3 - 49553. What is w in 1/3*w**3 - w**4 + t*w**2 - 1/3*w**5 - 4/3 + 0*w = 0?
-2, -1, 1
Let o(u) = -6*u**2 - 222*u - 417. Let z be o(-2). Solve -2/5*k**z + 18/5 - 6*k + 14/5*k**2 = 0.
1, 3
Let b(y) be the second derivative of -7*y**5/30 + y**4/2 + 2625*y. Factor b(j).
-2*j**2*(7*j - 9)/3
Factor 8743849/5 - 5914/5*u + 1/5*u**2.
(u - 2957)**2/5
Let k = 757 + -755. Suppose -4*w = -4*p, k*w = -p + 5*p. Suppose w - 3/5*v**3 + 0*v**2 + 0*v + 3/5*v**4 = 0. What is v?
0, 1
Factor 508*x + 258064 + 1/4*x**2.
(x + 1016)**2/4
Let q(w) be the third derivative of w**5/60 - 221*w**4/2 + 293046*w**3 + 6*w**2 - 93*w. Factor q(d).
(d - 1326)**2
Suppose -278*r + 564*r = 117*r. Factor r + 9/2*i - 3/2*i**3 + 3*i**2.
-3*i*(i - 3)*(i + 1)/2
Let r(h) be the second derivative of -1/255*h**6 + 17 + 2*h + 4/51*h**3 + 7/102*h**4 + 0*h**2 + 1/85*h**5. Solve r(v) = 0 for v.
-1, 0, 4
Let l(p) be the first derivative of 2*p**5/5 - 48*p**4 + 5396*p**3/3 - 17544*p**2 - 40678*p - 5490. Let l(g) = 0. Calculate g.
-1, 11, 43
Let f(l) be the first derivative of 12 - 2/27*l**3 + 0*l - 2/9*l**2. Factor f(v).
-2*v*(v + 2)/9
Let r = 31956 + -127823/4. Let g(c) be the second derivative of 14*c + 0 + 13/6*c**3 - r*c**4 + 5*c**2. Factor g(m).
-(m - 5)*(3*m + 2)
Let f(g) = 16 - 44*g - 12*g**2 - 28 - 19*g - 48. Let j(w) = -3*w**2 - 16*w - 15. Let k(l) = -2*f(l) + 9*j(l). Factor k(d).
-3*(d + 1)*(d + 5)
Solve 279/4*h**2 - 11*h**3 - 27/2*h - 54 = 0 for h.
-3/4, 12/11, 6
Find n, given that 0 + 1230/17*n**2 - 2/17*n**5 - 900/17*n - 274/17*n**3 - 54/17*n**4 = 0.
-15, 0, 1, 2
Suppose -1/9*c**2 + 23/3*c + 142/9 = 0. What is c?
-2, 71
Let x(s) = -11*s**2 + 175*s + 84. Let p(g) = 100*g**2 - 1575*g - 770. Let i(v) = -6*p(v) - 55*x(v). Factor i(q).
5*q*(q - 35)
Factor -112*z - 1196/3*z**2 + 484/3*z**4 + 784/3 + 88*z**3.
4*(z - 1)**2*(11*z + 14)**2/3
Suppose 1/7*l**2 - 1301/7*l + 2598/7 = 0. Calculate l.
2, 1299
Let q(d) be the third derivative of -d**5/390 - 8*d**4/39 + 35*d**3/13 + 185*d**2 + 1. Solve q(b) = 0 for b.
-35, 3
Determine d, given that -5*d**2 + 2*d**2 - 4336*d + 8252*d - 4141*d + 228 = 0.
-76, 1
Let c(s) = 44*s + 37. Let p be c(-1). Let k(r) = -5*r**2 - r + 19. Let l(f) = -11*f**2 - f + 39. Let d(v) = p*k(v) + 3*l(v). Factor d(j).
2*(j - 2)*(j + 4)
Let q(n) be the third derivative of n**5/60 + 79*n**4/24 - 231*n**3/2 + 22*n**2 + 11*n. Let v be q(8). Factor 1/9*o**v - 1/3*o + 0 + 2/9*o**2.
o*(o - 1)*(o + 3)/9
Suppose -3755/2*m + 1753/2*m**2 - 525 - 117/2*m**3 - 35/2*m**4 + 2*m**5 = 0. What is m?
-7, -1/4, 5, 6
Let d be (-4 - -20)/(-4) - -2. Let y be d - 0 - (0 - (-6 - -10)). Determine n so that -4/5 - 6/5*n**3 - 18/5*n - 4*n**y = 0.
-2, -1, -1/3
Determine v, given that 109 - 106037*v + 59 + 107553*v + 1380*v**2 + 32*v**3 = 0.
-42, -1, -1/8
Let z(d) be the second derivative of -d**4/54 - 182*d**3/27 + 185*d**2/3 - 98*d - 2. Find y such that z(y) = 0.
-185, 3
Factor -228/5*b**3 - 361179/5 - 3/5*b**4 - 15876*b - 6426/5*b**2.
-3*(b + 13)*(b + 21)**3/5
Suppose -2*j = -4*y + 84, y + 6 + 63 = -2*j. Let c be (1827/j)/29 - (-4 + 2). Factor -1/2 + 3/4*f - c*f**2.
-(f - 2)*(f - 1)/4
Let m be 1028/(-6)*3/(-1) - -4. Let a be 4/6*(4 - m/140). Suppose 3/5*c + 2/5 + a*c**2 = 0. What is c?
-2, -1
Let x(l) be the second derivative of 1/48*l**4 + 0*l**2 + 11/24*l**3 - 1/120*l**6 - 2 - 9*l - 11/80*l**5. Suppose x(r) = 0. What is r?
-11, -1, 0, 1
Let i(z) be the first derivative of 6/5*z**2 + 0*z - 2/25*z**5 - 2/5*z**4 - 103 - 2/15*z**3. Factor i(y).
-2*y*(y - 1)*(y + 2)*(y + 3)/5
Let c(d) = -5*d**4 - 39*d**3 + 39*d**2 + 39*d - 36. Let u(n) = -2*n**4 - 2*n**3 + n**2 + 2*n. Let q(g) = 5*c(g) - 10*u(g). Factor q(y).
-