**2 - 3*t. Factor d(g).
-(g - 22)*(g - 1)*(g + 4)
Let w(x) be the second derivative of x**5/110 + 5*x**4/66 - 352*x - 4. Suppose w(v) = 0. Calculate v.
-5, 0
Suppose -111*h + 726 = 726. Let i(z) be the first derivative of 1/66*z**6 + 0*z + h*z**2 + 0*z**4 + 0*z**3 - 16 - 1/55*z**5. Solve i(b) = 0.
0, 1
Let a(z) = 30*z**4 - 18*z**3 - 99*z**2 - 117*z + 33. Let f(i) = -i**4 - i**3 - 2*i**2 - 1. Let c(b) = -a(b) - 33*f(b). Factor c(p).
3*p*(p + 1)*(p + 3)*(p + 13)
Let i be (-784)/(-42)*(-1 + (-33)/(-6)). Let -8*h**5 + 16*h**5 - 38*h**4 - 66*h - 12*h**5 + i*h - 14*h**3 + 38*h**2 = 0. Calculate h.
-9, -1, -1/2, 0, 1
Let z(h) be the second derivative of h**7/42 - 71*h**6/30 + 1843*h**5/20 - 6951*h**4/4 + 15876*h**3 - 74088*h**2 + 2*h + 246. Factor z(m).
(m - 21)**3*(m - 4)**2
Let c(v) be the second derivative of 4 - 8*v**3 - v + 3/20*v**5 + 15/4*v**4 + 0*v**2. Factor c(o).
3*o*(o - 1)*(o + 16)
Suppose 3*w + 59 = 5*n, -8*w - 55 = -4*n - 3*w. Let l be 9/6*n/45. Factor 20/3*q + 100/3 + l*q**2.
(q + 10)**2/3
Suppose 5*b = 98 - 108. Let i(f) = -1. Let z(r) = 4*r**2 - 32*r - 78. Let j(w) = b*i(w) - z(w). Find n, given that j(n) = 0.
-2, 10
Let d(a) = 100*a**2 + 940*a - 1895. Let s(p) = 119*p**2 + 940*p - 1894. Let i(y) = 6*d(y) - 5*s(y). Factor i(q).
5*(q - 2)*(q + 190)
Let j(f) be the first derivative of f**3/15 + 73*f**2/10 + 276*f/5 + 1866. What is m in j(m) = 0?
-69, -4
Let -54 + 133*h - 36345*h**4 + 59*h**2 - 36345*h**4 - 133*h**3 + 72685*h**4 = 0. Calculate h.
-27, -1, 2/5, 1
Factor -182*i - 81097 + 81293 - 16*i**2 + 0*i**3 + 2*i**3.
2*(i - 14)*(i - 1)*(i + 7)
Suppose -3*a = -0*a + v - 100, v - 65 = -2*a. Suppose -97 + 33*w**4 + a*w**4 + 4*w**5 + 97 = 0. Calculate w.
-17, 0
Let y(r) = -r**3 + 12*r**2 + 35*r - 126. Let h be y(9). Let u = -432 + h. Factor u - 6*n**3 - 2/3*n**4 - 10*n**2 - 14/3*n.
-2*n*(n + 1)**2*(n + 7)/3
Factor -433/6*p + 145 - 1/6*p**2.
-(p - 2)*(p + 435)/6
Let t be (-4)/6 + 2 + -216. Let z = 646/3 + t. Factor 1/3*h + 16/3*h**2 + 26/3*h**4 - 7/3*h**5 - z - 34/3*h**3.
-(h - 1)**4*(7*h + 2)/3
Let c(z) be the third derivative of 0 - 13/70*z**7 + 0*z**3 - z**4 + z - 5/112*z**8 + z**5 - 20*z**2 + 3/20*z**6. Find q such that c(q) = 0.
-2, 0, 2/5, 1
Let i(k) be the second derivative of k**5/20 + 29*k**4/12 + 95*k**3/6 - 125*k**2/2 - 5562*k. Suppose i(r) = 0. What is r?
-25, -5, 1
Let d(f) be the second derivative of -182*f + 2250*f**3 - 75/2*f**4 - 67500*f**2 + 1/4*f**5 + 0. Factor d(z).
5*(z - 30)**3
Suppose -2*m - 109 = -5*t - 107, 0 = -2*t + m + 1. Factor -2/3*l**2 - 1/3*l**5 + 0*l + 0 + t*l**4 + l**3.
-l**2*(l - 1)**2*(l + 2)/3
Let h be ((-20)/120)/((-2)/36). Factor -42*p**h - 3*p**2 + 82*p**3 - 23*p**2 - 44*p**3 - 2*p**2.
-4*p**2*(p + 7)
Let p(i) be the first derivative of i**7/420 - i**6/80 + i**5/60 - 17*i**2/2 - 53. Let x(s) be the second derivative of p(s). Determine w, given that x(w) = 0.
0, 1, 2
Let o(g) = -3*g - 25 + 6*g**2 + 16*g**2 - 39*g**2. Let s(t) = -4*t**2 - t - 6. Let f(x) = -6*o(x) + 26*s(x). Solve f(n) = 0.
-3, -1
Let c be 426/(-142) + (3/(-6))/((-2)/28). Let v(n) be the first derivative of 13 - 3/8*n**c + 7/6*n**3 - 1/2*n**2 + 0*n. Factor v(g).
-g*(g - 2)*(3*g - 1)/2
Factor 406*j**3 - 68*j**2 - 32*j - 5*j**4 - 7*j**4 - 10*j**4 - 446*j**3 + 18*j**4.
-4*j*(j + 1)**2*(j + 8)
Suppose 752/5*o**4 + 2968/5*o**3 + 4/5*o**5 + 4432/5*o**2 + 2948/5*o + 736/5 = 0. What is o?
-184, -1
Let w(g) be the first derivative of -g**4/4 - 15*g**3 + 988. Factor w(c).
-c**2*(c + 45)
Suppose -4*m = -5*n - 385, 2*m + 13*n - 17*n = 200. Suppose 10*a - m = -35*a. Factor 1/3 + 0*b - 1/3*b**a.
-(b - 1)*(b + 1)/3
Let b(m) be the second derivative of m**6/15 + 69*m**5/10 + 1289*m**4/6 + 1133*m**3 + 2178*m**2 + 4538*m. Factor b(k).
2*(k + 1)*(k + 2)*(k + 33)**2
Let q(n) = 5*n**4 + 26 + 35*n**3 + 115*n**2 + 19 - 1024*n + 1139*n. Let f(s) = -s**3 + s**2 - s. Let v(b) = 5*f(b) - q(b). Suppose v(k) = 0. What is k?
-3, -1
Let y = -150973/4 - -37748. Determine p so that -y*p**3 + 7/4*p + 0 - 3/4*p**4 + 15/4*p**2 = 0.
-7, -1/3, 0, 1
Let d(j) be the second derivative of 3*j**5/100 + 127*j**4/20 + 1984*j**3/5 - 6144*j**2/5 + 1005*j. Factor d(k).
3*(k - 1)*(k + 64)**2/5
Factor -38/5*s**2 - 7*s - 1/5*s**3 + 74/5.
-(s - 1)*(s + 2)*(s + 37)/5
Let i(n) be the third derivative of n**8/112 - 26*n**7/35 + 5*n**6/2 - 28*n**2 + 13*n + 2. Let i(p) = 0. What is p?
0, 2, 50
Let x(f) be the first derivative of 7/69*f**6 - 19/46*f**4 - 18/115*f**5 + 26/69*f**3 + 9 + 12/23*f**2 - 8/23*f. Suppose x(q) = 0. Calculate q.
-1, 2/7, 1, 2
Let l(w) be the first derivative of 0*w**3 + 0*w**2 + 0*w + 35/4*w**4 + 6*w**5 - 5/6*w**6 + 72. Factor l(y).
-5*y**3*(y - 7)*(y + 1)
Find s such that 26/17*s - 2/17*s**3 - 20/17 - 4/17*s**2 = 0.
-5, 1, 2
Let v be (17 + -22)/(5/(-4)). Suppose -2*k = o - 1, -4*o + v*k + 4 + 12 = 0. Factor 2/5*s**o - 11/5*s**2 + 9/5 + 12/5*s.
(s - 3)**2*(2*s + 1)/5
Let j(f) = 4*f**2 + 5*f. Suppose r - 24 = -2*r. Let w = 5682 + -5679. Let u(i) = -12*i**2 - 16*i. Let h(b) = r*j(b) + w*u(b). Factor h(z).
-4*z*(z + 2)
Determine y, given that 15/7 - 17/7*y**3 - 19/7*y**2 + 17/7*y + 4/7*y**4 = 0.
-1, -3/4, 1, 5
Let o(b) be the second derivative of 0 + 60*b - 32/11*b**3 - 2304/11*b**2 - 1/66*b**4. Factor o(w).
-2*(w + 48)**2/11
Let r = -475077/20 + 23754. Let n(j) be the second derivative of 16*j + 1/4*j**4 - r*j**5 + j**3 + 0 + 0*j**2. Factor n(h).
-3*h*(h - 2)*(h + 1)
Suppose 4*p = -4*a + 24, -5*p + 2*a + 22 = 5*a. Let s be 0/(-2*1)*p/4. Suppose 0*k - 2/13*k**3 - 6/13*k**2 + s = 0. What is k?
-3, 0
Let t(f) = -f**2 - 3*f - 13. Let m be t(-6). Let z = m - -35. Find o, given that 3 - 3 + 2*o**3 - 4*o**3 - z*o**2 = 0.
-2, 0
Let d = 33604/369 + -3588/41. Factor -8*a + d - 44/9*a**2.
-4*(a + 2)*(11*a - 4)/9
Let x(s) = -s**3 + 1. Suppose -11*p - 22*p = 66. Let o(r) = r**4 + 5*r**3 - 2. Let a(v) = p*o(v) - 4*x(v). Factor a(c).
-2*c**3*(c + 3)
Let l = 13173569/93 + 326318/31. Factor l + 1/3*c**3 + 77*c**2 + 5929*c.
(c + 77)**3/3
Let p(m) be the third derivative of -m**7/42 - 13*m**6/24 + 5*m**5/4 + 65*m**4/24 - 35*m**3/3 + 621*m**2. Determine j, given that p(j) = 0.
-14, -1, 1
Let t(b) be the first derivative of 129/32*b**4 + 193 + 69/4*b + 135/8*b**3 - 3/40*b**5 + 411/16*b**2. Factor t(x).
-3*(x - 46)*(x + 1)**3/8
Let o(m) = 79*m**5 + 485*m**4 + 747*m**3 + 351*m**2 + 40*m + 10. Let p(s) = 7*s**5 + 2*s**4 - s**3 - s + 1. Let c(a) = -o(a) + 10*p(a). Solve c(q) = 0 for q.
-50, -1, -1/3, 0
Let -2/3*r**2 - 2558454 - 2612*r = 0. Calculate r.
-1959
Let j(k) be the third derivative of 0*k + 2/3*k**3 + 0*k**6 - 1/20*k**5 - 57*k**2 + 0 + 1/630*k**7 + 1/18*k**4. Solve j(s) = 0.
-3, -1, 2
Let i(a) be the second derivative of a**5/12 + 20*a**4/9 + 35*a**3/2 - 21*a + 92. Factor i(t).
5*t*(t + 7)*(t + 9)/3
Let f(h) be the third derivative of -h**6/100 - 133*h**5/150 - 11*h**4/4 + 301*h**3/15 - 5929*h**2. What is y in f(y) = 0?
-43, -7/3, 1
Factor -545*c**4 + 267812*c + 1254960*c + 51108*c + 19655*c**3 - 269675*c**2 + 17*c**5 - 3320240 - 12*c**5.
5*(c - 44)**2*(c - 7)**3
Suppose -s - 2 + 24 = 3*g, -2*s = -3*g - 71. Suppose s = 11*z - 13. Let -2/3*r**3 + 4/9*r - 2/9*r**2 + 2/9*r**z + 2/9*r**5 + 0 = 0. Calculate r.
-2, -1, 0, 1
Suppose 265*u - 269*u + 16 = 5*d, -5*u = -2*d - 20. Factor 0 - 1/2*q**4 - 1/2*q**2 + d*q - q**3.
-q**2*(q + 1)**2/2
Let l(y) be the second derivative of 5*y**7/14 + 7*y**6/3 + 17*y**5/4 - 5*y**4/2 - 50*y**3/3 - 20*y**2 + y - 1243. Suppose l(v) = 0. Calculate v.
-2, -1, -2/3, 1
Let u(f) = f**3 - 2*f**2 + 2*f + 1. Let g(o) = -196*o**3 - 403*o**2 - 191*o + 4. Let p(a) = g(a) - 3*u(a). Factor p(h).
-(h + 1)**2*(199*h - 1)
Let h be (-6)/4*2*(3 + -19). Suppose 4*j - 216 = -h. Determine k, given that -j*k**2 - 10*k**4 - 33 + 16*k + 34*k**3 + 6*k + 29 = 0.
2/5, 1
Let z(g) = -6*g**3 + 191*g**2 + 389*g - 574. Let p(r) = -r**3 + 2*r - 1. Let w(j) = 21*p(j) - 3*z(j). Factor w(l).
-3*(l - 1)*(l + 3)*(l + 189)
Factor 8/5 + 18/5*p**3 - 6/5*p**2 - 16/5*p.
2*(p + 1)*(3*p - 2)**2/5
Let w(q) = 9*q**3 - 4*q**2 + 6*q + 3. Let h be w(3). Let t = 228 - h. Let t + 2*x**4 + 2*x - 22/3*x**2 + 10/3*x**3 = 0. What is x?
-3, 0, 1/3, 1
Suppose 30/7*j**4 + 54/7*j**3 - 478/7*j**2 + 144/7*j + 648/7 + 2/7*j**5 = 0. Calculate j.
-9, -1, 2
Let h(x) be the third derivative of x**6/90 + 5*x**5/3 + 625*x*