 = 0. Calculate p.
-638, 1
Let z(q) be the third derivative of -q**7/420 - 11*q**6/30 - 611*q**5/60 + 1309*q**4/2 - 42483*q**3/4 + 1034*q**2 - 2. Let z(l) = 0. Calculate l.
-51, 7
Factor 34596/5 - 34224/5*u - 371/5*u**2 - 1/5*u**3.
-(u - 1)*(u + 186)**2/5
Let v be 4 - 3/6*2. Let i(o) = -3*o**3 + o**2 + 0*o + 2*o**3 + 11 - o - 12. Let m(s) = 8*s**3 + 27*s**2 + 63*s + 43. Let t(q) = v*i(q) + m(q). Solve t(c) = 0.
-2
Let n(o) = 8*o**3 + 7743*o**2 + 15*o. Let w(m) = 2*m**3 + 1936*m**2 + 4*m. Let x(q) = 4*n(q) - 15*w(q). Factor x(p).
2*p**2*(p + 966)
Let m(y) be the third derivative of -3*y**6/160 + y**5/10 - y**4/8 - 28*y**2 + 70. Find q, given that m(q) = 0.
0, 2/3, 2
Let n(g) be the second derivative of 3*g**5/20 - 55*g**4/2 - 575*g**3/2 - g + 1480. Factor n(w).
3*w*(w - 115)*(w + 5)
Let k = 1959/1294 - 9/647. Let x(q) be the first derivative of -9/4*q**4 - k*q**2 + 3 + 0*q + 3/5*q**5 + 3*q**3. Determine i so that x(i) = 0.
0, 1
Let u(h) be the third derivative of h**6/12 - 533*h**5/12 + 44555*h**4/6 - 88445*h**3/6 - 14*h**2 + 7. Factor u(t).
5*(t - 133)**2*(2*t - 1)
Factor 2*t**3 + 1/2*t**4 - 2*t**2 - 8*t + 0.
t*(t - 2)*(t + 2)*(t + 4)/2
Let l(u) be the third derivative of -u**6/160 + 47*u**5/16 - 233*u**4/16 + 1027*u**2. Factor l(m).
-3*m*(m - 233)*(m - 2)/4
Let a(g) be the first derivative of 2/5*g**4 + 2/25*g**5 - 4/5*g**2 - 8/5*g + 2/5*g**3 - 64. Factor a(d).
2*(d - 1)*(d + 1)*(d + 2)**2/5
Let f = 117321 - 351943/3. Determine t, given that -28/3*t**4 - f*t + 4/3 + 8/3*t**3 + 8*t**2 + 4*t**5 = 0.
-1, 1/3, 1
Let j(g) = 5*g**3 + 15*g + 15. Let i(s) = 2*s**2 - s - 1. Suppose 2*x = -5*x + 7. Let o(k) = x*j(k) + 15*i(k). Factor o(w).
5*w**2*(w + 6)
Let a(x) = -313*x**2 + 15*x + 7. Let z(u) = -163*u**2 + 7*u + 3. Let s(w) = -3*a(w) + 7*z(w). Factor s(c).
-2*c*(101*c - 2)
Let x = 6821 - 6815. Let r(c) be the third derivative of 0*c**5 + 13*c**2 + 0 + 0*c**4 + 0*c**3 + 0*c + 1/60*c**x. Factor r(b).
2*b**3
Let c(h) be the second derivative of -3*h**5/40 - 167*h**4/16 + 257*h**3/8 + 255*h**2/4 + 435*h. Let c(g) = 0. What is g?
-85, -1/2, 2
Suppose -4*j + 27 = -4*s + 19, -8 = -5*j + 4*s. Let v be 248/(-3)*(-31)/620 + -4. Determine h, given that j*h**2 + 0 - 2/15*h**3 + v*h = 0.
-1, 0, 1
Let s be 7 - (1 - -4)/1. Let w be 1444/266 - s/1. Factor 3 + w*l + 3/7*l**2.
3*(l + 1)*(l + 7)/7
Let v(j) = -j**2 + 25*j + 226. Let t be v(32). Suppose 2*f - t = -30*d + 34*d, 3 = 3*f. Suppose 1/6*x**4 + d*x**3 + 0*x + 0 + 0*x**2 - 1/6*x**5 = 0. What is x?
0, 1
Let d(a) be the second derivative of a**5/40 - a**4/6 + 5*a**3/12 - a**2/2 + 3*a - 107. Determine v, given that d(v) = 0.
1, 2
Let i(d) be the third derivative of d**5/30 + 211*d**4/6 + 44521*d**3/3 + 1881*d**2. Find r such that i(r) = 0.
-211
Let y(s) be the third derivative of s**6/30 - 26*s**5/15 + 33*s**4/2 + 84*s**3 - 3213*s**2. Factor y(w).
4*(w - 21)*(w - 6)*(w + 1)
Find w, given that 24*w - 2/3*w**2 - 66 = 0.
3, 33
Let d = 24254 - 24250. Let q(k) be the second derivative of 0 - 1/60*k**d + 3/10*k**2 + 1/15*k**3 + 10*k. Let q(c) = 0. Calculate c.
-1, 3
Let w(o) be the third derivative of -o**7/165 - 401*o**6/660 - 1619*o**5/330 - 1543*o**4/132 - 106*o**3/11 + o**2 + 1371*o - 1. Suppose w(c) = 0. Calculate c.
-53, -3, -1, -2/7
Let -71*r**2 - 553*r + 49 + 442*r + 65 + 111*r**3 - 46*r**2 + 3*r**4 = 0. Calculate r.
-38, -1, 1
Let g be 58/6 - 340/204. Suppose 122*v**4 + 52*v**2 + 29*v**5 - 18*v**3 - 4*v**5 + g*v + 49*v**3 - 27*v**4 + 83*v**3 = 0. Calculate v.
-2, -1, -2/5, 0
Suppose 3*o - 98 = 4*s, 5*o - 182 = 18*s - 16*s. Factor 20 - 2*g**2 + o*g - 34 + 68*g + 122.
-2*(g - 54)*(g + 1)
Let v(m) be the first derivative of 2*m**5/25 - 47*m**4/10 + 352*m**3/5 + 576*m**2/5 + 1653. Suppose v(k) = 0. Calculate k.
-1, 0, 24
Let w(y) = 4*y**3 + 68*y**2 + 1132*y + 1800. Let q(g) = 15*g**2 + 2*g. Let a(j) = -4*q(j) - w(j). Factor a(k).
-4*(k + 2)*(k + 15)**2
Factor 2*t**3 - 29*t - 37 - 11 + 9 - 21 + 3*t**2.
(t - 4)*(t + 3)*(2*t + 5)
Let w(c) be the second derivative of -c**7/84 + 63*c**6/20 - 93*c**5/5 + 185*c**4/6 + 3690*c + 2. Determine k so that w(k) = 0.
0, 2, 185
Let a(o) = -o**3 + o**2 + 4*o + 4. Let w be a(0). Factor 13*p**3 - 12*p - 5*p**3 - 9*p**4 + 16*p**2 + w*p**5 - 7*p**4.
4*p*(p - 3)*(p - 1)**2*(p + 1)
Find x such that -224 - 108*x + 2824*x**3 + 2831*x**3 + 114*x**2 - 5657*x**3 = 0.
-1, 2, 56
Let k(s) be the second derivative of -s**4/6 - 13*s**3 + 40*s**2 - 337*s + 3. Factor k(z).
-2*(z - 1)*(z + 40)
Let v(m) = -m**2 - 3*m + 56. Let y be v(6). Let g(t) be the first derivative of -6 + 3/2*t**y + 0*t**3 - 3/4*t**4 + 0*t. Factor g(r).
-3*r*(r - 1)*(r + 1)
Let u(c) be the first derivative of 12*c**2 - 14*c + 1/3*c**4 - 10/3*c**3 + 15. Let v(p) be the first derivative of u(p). Factor v(t).
4*(t - 3)*(t - 2)
Let j(w) be the first derivative of 16/5*w**2 - 6/5*w**3 + 13 + 8/5*w. Find h, given that j(h) = 0.
-2/9, 2
Let 277 - 553/2*z - 1/2*z**2 = 0. What is z?
-554, 1
Let i(d) be the first derivative of -d**6/255 + 7*d**4/102 - 2*d**3/17 - 8*d + 31. Let m(r) be the first derivative of i(r). Let m(b) = 0. What is b?
-3, 0, 1, 2
Let f(g) be the second derivative of -2*g**6/15 + 2*g**5/5 - 4*g**3/3 + 2*g**2 - 9656*g. Factor f(u).
-4*(u - 1)**3*(u + 1)
Let k(g) be the third derivative of 0*g**3 + 35/24*g**4 + 13*g - 2*g**2 - 1/12*g**5 + 0. Determine h, given that k(h) = 0.
0, 7
Let d(z) be the first derivative of 10/7*z + 1/14*z**4 + 2/7*z**3 - 119 - 9/7*z**2. Suppose d(w) = 0. What is w?
-5, 1
Factor 2/19*b**3 - 18/19*b**2 + 28/19*b + 0.
2*b*(b - 7)*(b - 2)/19
Let x(a) be the second derivative of -a**5/120 + 25*a**4/24 - 52*a**3 + 3887*a**2/3 - 5518*a. Factor x(q).
-(q - 26)**2*(q - 23)/6
Let r(i) = i**3 + 17*i**2 + 15*i - 11. Let c be r(-16). Determine z, given that -10*z**2 - c*z + 5*z**3 - 5 + 3 + 12 = 0.
-1, 1, 2
Let q = 2 - 0. Suppose 5*m - 4*z = 4*m - 16, 4*z - 4 = 4*m. Factor 12*a**2 - 4*a**2 - m*a**q - 5*a**2 + 6*a - 5.
-(a - 5)*(a - 1)
Let x(z) be the second derivative of z**4/60 + 25*z**3/6 + 242*z**2/5 + 2959*z. Let x(b) = 0. What is b?
-121, -4
Let j be -15*2/6 - -7. What is w in 3*w**4 + w**5 + w**j + 72 + w**2 - w**3 - 72 - 5*w**2 = 0?
-3, -1, 0, 1
Factor -15/4*k**2 + 18*k - 28 + 1/4*k**3.
(k - 7)*(k - 4)**2/4
Suppose -3*i - 424 - 773 = 0. Let m = i - -801/2. Solve -m*q + 3*q**2 - 3/2 = 0.
-1/2, 1
Let c(r) = -39*r + 65. Let a be (11 + -22)/(-1 + 2 + 0). Let n be c(a). Factor 2916*q + 242 + n + 1451 + 810*q**2 + 3*q**4 + 84*q**3.
3*(q + 1)*(q + 9)**3
Let c = 3263 - 3263. Let b(u) be the second derivative of c*u**3 + 5/8*u**4 + 0*u**2 + 1/16*u**5 + 0 + 3*u - 1/24*u**6. Factor b(j).
-5*j**2*(j - 3)*(j + 2)/4
Let u = -231 - -233. Let d(b) be the second derivative of 0*b**u + 1/6*b**3 + 0 + 1/20*b**5 + 15*b + 1/6*b**4. Determine x so that d(x) = 0.
-1, 0
Let l = -121680 - -243361/2. Determine u, given that -3/8*u**2 - l - 13/8*u = 0.
-4, -1/3
Let o(u) = -7*u**2 - 18010*u + 16218281. Let z(h) = 3*h**2 + 7204*h - 6487317. Let w(r) = -5*o(r) - 12*z(r). Factor w(x).
-(x - 1801)**2
Let k(b) be the first derivative of b**6/6 + b**5 - 17*b**4/4 - 17*b**3/3 + 16*b**2 + 28*b - 593. Find x, given that k(x) = 0.
-7, -1, 2
Let v(s) be the third derivative of -s**6/120 - 7*s**5/3 + s**4/24 + 70*s**3/3 - 21*s**2 - 108. Factor v(k).
-(k - 1)*(k + 1)*(k + 140)
Let h(f) = 37*f**2 + 22*f - 12. Let d(t) = -1. Let j(n) = 260*n**2 + 155*n - 89. Let m(u) = -4*d(u) + j(u). Let w(c) = 20*h(c) - 3*m(c). Factor w(b).
-5*(b + 1)*(8*b - 3)
Suppose -116 = 3*k - j - 118, 4*k - 3*j = -4. Determine f so that -8 + k*f + 1/2*f**4 + 6*f**2 - 7/2*f**3 = 0.
-1, 2, 4
Factor -3597/5 + 3/5*i**2 - 3594/5*i.
3*(i - 1199)*(i + 1)/5
Let z(m) be the second derivative of -m**5/10 + 41*m**4/3 + 704*m**3/3 + 1440*m**2 - 18*m - 13. Suppose z(q) = 0. Calculate q.
-4, 90
Suppose -116*t + 5430 = 2066. Suppose -5*w + t = -10*g + 14*g, w = -4*g + 9. Suppose -256/3 + 160/3*y**2 + 5*y**4 - 80/3*y**3 - 1/3*y**w + 0*y = 0. What is y?
-1, 4
Let k(v) be the third derivative of v**5/210 + 19*v**4/21 - 11*v**3/3 - 4*v**2 - 233*v. Suppose k(m) = 0. What is m?
-77, 1
Let z be ((-550)/15)/((-45)/54). Let o = -15 + 39. Determine t so that 3*t**2 - 4*t**4 - 19*t**2 + o*t + 20*t**3 - z*t**3 + 20 = 0.
-5, -1, 1
Let q(n) be the first derivative of -5*n**4/4 + 575*n**3/3 - 