econd derivative of z**5/60 + 85*z**4/36 - 59*z**3/6 - 87*z**2/2 - 4209*z. Find w, given that y(w) = 0.
-87, -1, 3
Let v(l) be the first derivative of -240*l + 230 - l**5 + 80/3*l**3 - 15*l**4 + 80*l**2 + 5/6*l**6. Factor v(d).
5*(d - 2)**3*(d + 2)*(d + 3)
Let u(t) = -t + 7. Let b be u(3). Suppose 0 = -b*p + c - 2*c + 14, -2*c = p. Let 12 + 2*q + 34*q + 17*q**2 + 22*q**2 + 18*q**3 + 3*q**p = 0. Calculate q.
-2, -1
Suppose 2*q + 5*q = 14. Factor 19*n + 6 + n**q - 11*n - 13*n.
(n - 3)*(n - 2)
Factor -19 - 81*g**2 - g**3 + 5*g**3 - 95*g**2 + 780*g + 19.
4*g*(g - 39)*(g - 5)
Let o = -8316 + 8316. Let f(m) be the second derivative of 0*m**2 + 5/6*m**6 + 3/4*m**5 + 21*m - 15/4*m**4 + o + 0*m**3 + 5/42*m**7. Factor f(a).
5*a**2*(a - 1)*(a + 3)**2
Let s be (11 + -20)*4/(-9). Let u(x) be the second derivative of 1/5*x**5 + 1/6*x**s + 0*x**2 - 1/15*x**6 - 2/3*x**3 + 0 + 17*x. Find r such that u(r) = 0.
-1, 0, 1, 2
Let v(p) = 74*p - 49. Let u be v(4). Find s, given that -u*s**2 - 17*s + 8 + 7*s**3 - 20*s + 266*s**2 + 3*s = 0.
-4, 2/7, 1
Let q = 1482 + -1379. Let c = -103 + q. Factor -1/2*k + c - 1/4*k**2.
-k*(k + 2)/4
Let d = -240007/102 + 40004/17. Factor d*r**4 + 7/6*r - 1/2*r**3 + 1 - 1/2*r**2.
(r - 3)*(r - 2)*(r + 1)**2/6
Let a be (-1 + 3 - (77 - 75))*(-4 + 3). Let q(s) be the first derivative of a*s**2 + 16*s + 22 - 4/3*s**3. Find g, given that q(g) = 0.
-2, 2
Let u be (13 - 459/36)/((-3)/(-24)). Let s(w) be the second derivative of 0*w**u + 0 - 1/9*w**3 + 4*w - 1/40*w**5 + 1/9*w**4. What is b in s(b) = 0?
0, 2/3, 2
Factor -1085/2*q**2 + 3/2*q + 0.
-q*(1085*q - 3)/2
What is j in 2/7*j**4 - 6/7*j**2 + 100/7 - 2*j**3 + 110/7*j = 0?
-2, -1, 5
Suppose -q = -2*x - 7, -4*q - 1686*x = -1681*x - 2. Let 0*b**2 + 0 - 1/2*b**4 + 1/4*b**5 + 0*b - 2*b**q = 0. Calculate b.
-2, 0, 4
Let d be ((-475)/140)/(-19)*4. Let u be 0/3 - 120/(-140). Factor u + d*x + 1/7*x**2.
(x + 2)*(x + 3)/7
Suppose 34*z - 21*z - 1469 = 0. Factor 0*c**2 - z - c**2 - 4*c + 118.
-(c - 1)*(c + 5)
Factor -3/2*y**3 - 45*y**2 + 801/2*y + 444.
-3*(y - 8)*(y + 1)*(y + 37)/2
Let a(p) be the first derivative of -3*p**5/20 - 119*p**4/16 + 10*p**3/3 - 3682. Solve a(d) = 0 for d.
-40, 0, 1/3
Suppose s = 7*v - 3*v - 12, 5*v - 20 = 0. Solve 0*f - 3*f**2 + s*f + 11*f = 0.
0, 5
Let c(v) = 4*v**2 + 24*v. Let t(k) = 13*k + 2*k**2 - 3 + 4 - k**2 - 5*k. Let b(g) = 3*c(g) - 10*t(g). Factor b(p).
2*(p - 5)*(p + 1)
Let x(m) be the second derivative of -5 + 15*m + 1/24*m**4 - 1/60*m**6 + 0*m**2 + 11/40*m**5 - 11/12*m**3. Suppose x(h) = 0. What is h?
-1, 0, 1, 11
Let l(h) = h. Let r be l(3). Suppose -5*d = -4*u + 2, -r*u + 3*d = u - 6. Suppose -4*q**2 + u*q**4 - 25*q**5 + 27*q**5 + 3*q**2 = 0. Calculate q.
-1, 0, 1/2
Let h(v) be the second derivative of v**5/4 - 25*v**4/12 - 10*v**3 + 90*v**2 - 4*v + 166. Factor h(c).
5*(c - 6)*(c - 2)*(c + 3)
Let w(k) be the third derivative of -k**6/300 + 49*k**5/150 - 7*k**4/3 + 92*k**3/15 - 396*k**2. What is c in w(c) = 0?
1, 2, 46
Let v(k) be the first derivative of 32 + 0*k**2 - 8/11*k + 2/33*k**3. Suppose v(c) = 0. Calculate c.
-2, 2
Let s(g) = g**2 + 25*g - 22. Let b be s(-26). Find n, given that -226*n**2 + 101*n**2 + 24*n - b*n**3 + 113*n**2 + 32 = 0.
-4, -1, 2
Let p(q) be the first derivative of q**6/18 + 4*q**5 + 115*q**4/6 + 340*q**3/9 + 75*q**2/2 + 56*q/3 - 2771. Factor p(y).
(y + 1)**4*(y + 56)/3
Let s(k) = k**3 - 14*k**2 - 11*k - 72. Let l be s(13). Let t be 15/(-40) + (-848)/l. Factor 0*x**3 - 1/6*x**4 + 3*x + 4/3 + t*x**2.
-(x - 4)*(x + 1)**2*(x + 2)/6
Let q(d) be the first derivative of d**4/30 - 28*d**3/45 + 7*d**2/3 - 44*d/15 - 1583. Factor q(s).
2*(s - 11)*(s - 2)*(s - 1)/15
Let q(c) be the third derivative of -7/60*c**6 + 22/45*c**5 + 0*c - 197*c**2 - 11/12*c**4 + 0 + 8/9*c**3 + 2/315*c**7. Let q(t) = 0. What is t?
1/2, 1, 8
Let t(m) be the third derivative of m**8/672 - m**7/84 + m**6/120 + m**5/15 - 6*m**2 + 13*m. Factor t(l).
l**2*(l - 4)*(l - 2)*(l + 1)/2
Let n(u) = u**2 + 19*u + 6. Let w be n(-20). Suppose w = 7*x - 2. Factor 55*o**2 - 3*o**3 + x*o - o**3 - 12 - 43*o**2.
-4*(o - 3)*(o - 1)*(o + 1)
Let n(c) be the first derivative of -10*c**3/3 - 1542*c**2 - 1232*c + 1933. Determine r, given that n(r) = 0.
-308, -2/5
Let t be (645/(-75) + 9)/(2/86). Suppose t*g - 2/5*g**2 + 0 = 0. What is g?
0, 43
Factor 1215 + 5/2*o**3 + 1605/2*o - 410*o**2.
5*(o - 162)*(o - 3)*(o + 1)/2
Let c be 56*(-9)/(-108) - (-13)/39. Factor 8/9*s**4 - 2/3*s**3 + 0*s + 0 + 0*s**2 - 2/9*s**c.
-2*s**3*(s - 3)*(s - 1)/9
Let h be -5 - (-3 - 25)*(-2 - 45/(-20)). Let u(r) be the second derivative of -2*r**3 - 4*r**h + 0 + 23*r - 1/3*r**4. Factor u(x).
-4*(x + 1)*(x + 2)
Let b(i) be the third derivative of -71*i**2 - 1/3*i**4 - 1/120*i**8 - 56/75*i**5 - 86/525*i**7 + 0 + 0*i**3 - 2*i - 57/100*i**6. Find w such that b(w) = 0.
-10, -1, -2/7, 0
Let l(w) = w**3 - 3*w**2 + 2*w + 1. Let c(q) = -5*q**3 + 12*q**2 - 37*q - 24. Let s(b) = c(b) + 6*l(b). Let s(k) = 0. What is k?
-2, -1, 9
Suppose -3*m + 8 = -4*l, 0*l = l + 5*m - 21. Suppose 0 = -5*i + 20, -4*h - l = -3*i + 3. Factor -16*v + 78*v**2 + 2*v**3 - 44*v**h - 6*v**3.
-2*v*(v - 8)*(2*v - 1)
Suppose 1/3*z**5 + 0*z**2 + 0 + 8/3*z**4 + 0*z + 5*z**3 = 0. Calculate z.
-5, -3, 0
Let v(h) be the third derivative of -h**5/20 + 41*h**4/8 - 182*h**3 - 124*h**2 + 17. What is w in v(w) = 0?
13, 28
Suppose 70 = 12*m - 38. Factor -m + 79*p - p**3 + 84*p + 5 - 2*p**2 - 156*p.
-(p - 1)**2*(p + 4)
Let r(m) = -20*m**3 - 2*m**2 - 2*m - 9. Let b(l) = 7*l**3 + l**2 + l + 3. Suppose -7*f + 19 = 47. Let h(y) = f*r(y) - 11*b(y). What is s in h(s) = 0?
-1, 1
Let g(j) = 3*j**3 - j. Let k(t) = 4*t**3 + 211*t**2 + 209*t. Let b(p) = -g(p) + k(p). Let b(y) = 0. Calculate y.
-210, -1, 0
Let p(q) be the second derivative of q**5/90 - 77*q**4/27 - 791*q**3/27 - 212*q**2/3 + 470*q - 1. Factor p(y).
2*(y - 159)*(y + 1)*(y + 4)/9
Suppose 0 = 2*s - 125 + 117. Suppose 471*o = 469*o + s. Determine q, given that -2/15*q + 4/15 - 2/15*q**o = 0.
-2, 1
Suppose -654/5*z**2 - 72*z - 144/5*z**3 + 1161/5 - 3/5*z**4 = 0. Calculate z.
-43, -3, 1
Let r(b) be the second derivative of -b**4/24 + 15*b**3/4 + 49*b**2 + 488*b. Solve r(m) = 0.
-4, 49
Let l(p) be the first derivative of p**6/30 - p**4/4 - p**3/3 - 76*p - 62. Let x(j) be the first derivative of l(j). Find i such that x(i) = 0.
-1, 0, 2
Suppose 115*i - 113*i + 2*r - 54 = 0, 3*r = -2*i + 60. Let i*b**2 + 3*b**4 - 75/2 + 585/4*b - 99/4*b**3 = 0. Calculate b.
-2, 1/4, 5
Let t(k) = 1299*k + 27279. Let i be t(-21). Let 1/7*r**2 - 29/7*r + i = 0. What is r?
0, 29
Let h(i) be the first derivative of i**5/5 + 59*i**4/4 - 104*i**3 + 254*i**2 - 256*i + 2761. Let h(c) = 0. Calculate c.
-64, 1, 2
Let g(h) be the first derivative of -15*h**6/14 + 93*h**5/35 + 120*h**4/7 - 188*h**3/7 + 72*h**2/7 + 1808. Find q, given that g(q) = 0.
-3, 0, 2/5, 2/3, 4
Let d be (140/(-21))/((-6)/(-135)). Let k be 1/(-6) - 100/d. Suppose 1/4*b**2 + k*b - 3/4 = 0. Calculate b.
-3, 1
Let o(x) be the first derivative of -17/3*x**4 + 182 + 24*x**3 - 110/3*x**2 + 74/3*x - 2/15*x**5. Factor o(c).
-2*(c - 1)**3*(c + 37)/3
Let u(q) be the first derivative of q**5/30 - 97*q**4/24 + 508. Factor u(x).
x**3*(x - 97)/6
Let m = -7 + 9. Suppose -3 = -m*d + 1. Determine v, given that -4 + 3*v**d + 4 + 16*v**3 + 4*v + 17*v**2 = 0.
-1, -1/4, 0
Let x(g) be the third derivative of -1/5*g**6 + g**3 + 4/105*g**7 - 1/336*g**8 + 17/30*g**5 + 0*g - 23/24*g**4 + 0 + 77*g**2. Factor x(n).
-(n - 3)*(n - 2)*(n - 1)**3
Let t(v) be the first derivative of -2*v**6/15 - 7*v**5/5 + 70*v - 57. Let c(l) be the first derivative of t(l). Factor c(n).
-4*n**3*(n + 7)
Let a = -5496 - -43977/8. Let i be -9 + 6 - 54/(-16). Determine t, given that -i*t**3 + 3/4 + a*t + 0*t**2 = 0.
-1, 2
Let r(u) = 43*u**2 - 16*u - 3. Let x(g) = -g**2 - 1. Let w(y) = 3*y**2 - y - 51 + 99 - 46. Let a(n) = w(n) + 2*x(n). Let t(s) = -a(s) + r(s). Factor t(p).
3*(2*p - 1)*(7*p + 1)
Let z = -4521 - -4523. Let m(x) be the second derivative of 1/2*x**3 - 1/12*x**4 + 0*x**z - 10*x + 0. Let m(u) = 0. Calculate u.
0, 3
Let t = 2114035/8 - 264254. Solve -1/2*v**2 + t*v**3 - 3/2*v + 2 = 0.
-2, 4/3, 2
Factor -10*h**3 - 742*h - 141*h**2 - 270*h - 173*h - 16*h**3 + 23*h**3 - 2775.
-3*(h + 5)**2*(h + 37)
Suppose -6*k + 4*k - 12*k = 0. 