)/(-13). Let 1/4 - r*g**2 + 0*g = 0. Calculate g.
-1, 1
Suppose -w - 3 + 21 = 0. Let v be w/(-36) + 10/4. Factor -4/3*c + 2*c**v - 2/3*c**3 + 0.
-2*c*(c - 2)*(c - 1)/3
Let g be ((-5)/3)/((-23)/69). Let j(p) be the second derivative of -13*p + 0 + 1/5*p**2 + 3/100*p**g + 1/300*p**6 + 1/5*p**3 + 13/120*p**4. Factor j(k).
(k + 1)**2*(k + 2)**2/10
Let g(r) be the third derivative of r**6/320 - 9*r**5/80 + 41*r**4/64 + 15*r**3/4 - 172*r**2 - 2. Find x such that g(x) = 0.
-1, 4, 15
Let g = 373719 - 373715. Suppose -2*w**2 - 1/3*w**3 + 0*w + 0 + 1/3*w**g = 0. What is w?
-2, 0, 3
Let f(h) be the second derivative of -h**4/6 + 34*h**3/3 - h + 30. Suppose f(y) = 0. Calculate y.
0, 34
Let t(s) = 172*s**3 - 572*s**2 - 1905*s + 2492. Let k(v) = 61*v**3 - 191*v**2 - 635*v + 831. Let o(u) = 17*k(u) - 6*t(u). Factor o(p).
5*(p - 1)*(p + 5)*(p + 33)
Solve 2286*c**3 + 5*c**5 + 0*c**2 - 12*c - 38*c**4 - c**2 - 2237*c**3 - 3*c**2 = 0 for c.
-2/5, 0, 1, 6
Suppose 231 - 21 = 35*t. Let y(z) = 1. Let o(k) be the first derivative of k**3 + 3*k**2 - 15*k - 1. Let d(h) = t*y(h) + o(h). Solve d(q) = 0 for q.
-3, 1
Let q(s) = 2*s**5 - 4. Let m(x) = -17*x**5 - 510*x**4 - 1291*x**3 - 676*x**2 + 196*x + 44. Let d(b) = -3*m(b) + 15*q(b). Solve d(w) = 0 for w.
-16, -2, -1, -2/9, 1/3
Let c(d) = 14*d + 4. Let q be c(-3). Let m = q - -40. Determine y, given that -3*y**2 + 0*y**2 - 2*y**m - 5*y**3 = 0.
-1, 0
Let p(d) be the second derivative of -d**8/1008 + d**6/120 - d**5/90 + 75*d**2/2 - 79*d + 2. Let w(r) be the first derivative of p(r). Factor w(h).
-h**2*(h - 1)**2*(h + 2)/3
Let i(w) be the third derivative of w**8/151200 + w**7/18900 + w**5/30 - 11*w**4/4 - 67*w**2 - 2. Let h(u) be the third derivative of i(u). Factor h(d).
2*d*(d + 2)/15
Suppose -4*r = -5*c + 382, 4*c - 2*r + 188 = 496. What is n in 34*n**3 + 14*n + 6*n**4 - 74 + 94 - c*n**2 + 4*n**4 = 0?
-5, -2/5, 1
Suppose -3*h - 5*a + 22 = -2*h, 5*h = -5*a + 30. Let c be (-68)/51 + (4 - h). Factor c*o**4 - 8*o - 4/3*o**2 + 6 + 8/3*o**3.
2*(o - 1)**2*(o + 3)**2/3
Suppose 48 = -778*j + 782*j + 2*l, 0 = 4*j + 3*l - 64. Factor 12*m + 0 + 45/2*m**j + 78*m**2 - 87*m**3.
3*m*(m - 2)**2*(15*m + 2)/2
Suppose 2787 + 17409 = 1890*w - 594. Factor 7*z - 4/3 - w*z**3 + 3*z**4 - 17/3*z**2.
(z - 4)*(z + 1)*(3*z - 1)**2/3
Let w(q) be the second derivative of -2*q**7/63 - 2*q**6/45 + q**5 + 25*q**4/9 - 28*q**3/9 - 16*q**2 + 1406*q. Determine v, given that w(v) = 0.
-3, -2, -1, 1, 4
Determine y so that 0 + 1/3*y**3 - 1/3*y**4 - 75*y + 65/3*y**2 = 0.
-9, 0, 5
Let c(l) be the second derivative of 11*l**5/60 + 41*l**4/12 + 11*l**3/9 - 530*l - 1. Factor c(h).
h*(h + 11)*(11*h + 2)/3
What is l in -124*l**3 - 320*l + 118*l**3 + 95*l - 172*l + 222 - 238*l**2 - 189*l = 0?
-37, -3, 1/3
Let a(o) be the first derivative of -7*o**2 + 87/4*o**4 + 109 - 61/5*o**5 - 19/3*o**3 + 0*o + 7/6*o**6. Factor a(r).
r*(r - 7)*(r - 1)**2*(7*r + 2)
Let t(f) be the first derivative of -2*f**3/33 + 93*f**2/11 - 540*f/11 - 1268. Let t(g) = 0. What is g?
3, 90
Let u(c) be the first derivative of -110 - 2178*c**2 - 66*c**3 - 31944*c - 3/4*c**4. What is b in u(b) = 0?
-22
Let c = -1190/3 + 1192/3. Let d(v) be the first derivative of -5*v**2 + 9 - c*v**3 - 8*v. Factor d(x).
-2*(x + 1)*(x + 4)
Let n(i) = 7*i**2 + 13*i + 86. Let w be n(-9). Let j = w + -534. What is o in -1/2*o**j - 25/2 + 5*o = 0?
5
Let c(d) be the second derivative of -64*d - 21*d**2 + 2 + 11/3*d**3 + 1/3*d**4. Factor c(v).
2*(v + 7)*(2*v - 3)
Let o = -1/3097 + 21681/6194. Let z be 2 + (-2 - -2)/(-2). Suppose 23/2*q**4 - 19/2*q**2 + o*q**5 - z - 10*q + 13/2*q**3 = 0. What is q?
-2, -1, -2/7, 1
Suppose -16/7*p**2 - 2/7*p**5 + 0 + 16/7*p**4 + 6*p**3 - 40/7*p = 0. Calculate p.
-2, -1, 0, 1, 10
Let a(r) be the first derivative of -2*r**6/3 - 16*r**5 + 74*r**4 + 448*r**3/3 - 146*r**2 - 368*r + 160. Suppose a(w) = 0. Calculate w.
-23, -1, 1, 4
Let h(p) be the first derivative of p**3/15 - 419*p**2/10 + 418*p/5 - 1300. Find m such that h(m) = 0.
1, 418
Suppose -1584 = 5*g - 1624. Suppose 0 = -g*s + 10*s - 3*p + 2, -4*p = -8. Factor -81*c**s - 243/2 - 3/2*c**4 + 18*c**3 + 162*c.
-3*(c - 3)**4/2
Let u(o) = 7*o**4 - 23*o**3 + 6*o**2 + 268*o + 212. Let t(m) = 15*m**4 - 45*m**3 + 12*m**2 + 540*m + 423. Let h(l) = 4*t(l) - 9*u(l). Factor h(y).
-3*(y - 6)**2*(y + 1)*(y + 2)
Suppose -2*a + 16 = 0, -3*i + a - 5 = -a + 5. Suppose 5/2*r**i + 1/4*r**3 + 0 + 0*r = 0. Calculate r.
-10, 0
Let x = 17718/31 - 1143486/2015. Let r = x - 32/13. Factor -r*h - 6/5 - 2/5*h**2.
-2*(h + 1)*(h + 3)/5
Let w(n) be the third derivative of n**8/4032 - n**7/140 + 11*n**6/360 + n**5/40 - 5*n**4/32 - n**2 + 3773. Find c, given that w(c) = 0.
-1, 0, 1, 3, 15
Let u(a) be the third derivative of 76/5*a**5 + 3/28*a**8 + 0*a - 8/3*a**4 + 0 + 172/105*a**7 + 257/30*a**6 - 128/3*a**3 - 120*a**2. Find c such that u(c) = 0.
-4, -1, 4/9
Let c(n) be the third derivative of 5 + 1/165*n**5 - 4*n**2 + 0*n**3 + 5/44*n**4 - 1/660*n**6 + 0*n. Suppose c(r) = 0. What is r?
-3, 0, 5
Let x(n) be the second derivative of -33*n + 0*n**2 - 1/3*n**4 - 3 + 8*n**3. Suppose x(r) = 0. Calculate r.
0, 12
Let u(y) be the third derivative of 0 + 17*y**2 - 1/22*y**4 - 7/33*y**3 + 0*y + 1/330*y**5. Factor u(i).
2*(i - 7)*(i + 1)/11
Let v(i) = i**2 + i + 1. Let y(w) be the third derivative of -3*w**5/20 - w**4 - 67*w**2. Let g(a) = 12*v(a) + y(a). Factor g(u).
3*(u - 2)**2
Let d(x) = 13*x - 69. Let q(l) = -3*l + 17. Let b(p) = 2*d(p) + 9*q(p). Let k be b(15). Let -2*j**3 + k*j**3 - 64*j - 2 + 66*j + 2*j**2 = 0. Calculate j.
-1, 1
Let y(g) be the first derivative of 6*g + 2*g**3 - 21/2*g**2 + 9/4*g**4 + 29. Let y(p) = 0. Calculate p.
-2, 1/3, 1
Let -19200 + 6880*g - 86/3*g**3 - 1369/3*g**2 - 1/3*g**4 = 0. What is g?
-48, 5
Let k = 5808 + -5805. Let d(f) be the first derivative of -4/3*f**5 - 4 - 8/3*f**k - 17/3*f**4 + 32/3*f + 40/3*f**2. Determine t, given that d(t) = 0.
-2, -2/5, 1
Let k(q) = 9*q - 315. Let p be k(11). Let m be 8 - (p/(-32) + -2). Factor m*w**2 - 3/2*w**3 - 3*w + 1/4*w**4 + 1.
(w - 2)**2*(w - 1)**2/4
Let i(w) be the first derivative of 9*w**5/40 - 39*w**4/4 - 107*w**3/6 - 9*w**2 - 392. Factor i(b).
b*(b - 36)*(3*b + 2)**2/8
Let p be (-2 - -24)/(25/(-5) - -3). Let z(c) = -14*c**3 + 8*c**2. Let d(b) = -5*b**3 + 3*b**2. Let k(m) = p*d(m) + 4*z(m). Determine y, given that k(y) = 0.
-1, 0
Let o be (5300/(-70))/(-5) - 1/7*-6. Let b(n) be the third derivative of -o*n**2 + 0*n - 2/15*n**3 + 0 - 1/20*n**4 - 1/150*n**5. Solve b(i) = 0 for i.
-2, -1
Let q be ((120 - 1) + -1)/6 - 1. Let p = q - 253/15. Let -6/5*t + p*t**3 + 3/5*t**4 + 0 - 3/5*t**2 - 3/5*t**5 = 0. Calculate t.
-1, 0, 1, 2
Let k = 9950 - 9947. Factor 0 + 15/2*s - 3/2*s**4 - 33/2*s**2 + 21/2*s**k.
-3*s*(s - 5)*(s - 1)**2/2
Let l(a) be the first derivative of -3*a**5/35 + 33*a**4/4 - 74*a**3/7 - 228*a**2/7 + 4422. Let l(u) = 0. What is u?
-1, 0, 2, 76
Let j(v) be the third derivative of -v**7/630 - 13*v**6/90 - 5*v**5/6 - 29*v**4/24 + 23*v**2 - 5*v. Let o(a) be the second derivative of j(a). Factor o(b).
-4*(b + 1)*(b + 25)
Let t(d) = d**3 + 10*d**2 + 22*d + 7. Let z be t(-7). Let h be -2 + (-60)/(-18) + z. Let -4/3*i**2 + 2/3*i**4 + 2/3 + 2/3*i + 2/3*i**5 - h*i**3 = 0. What is i?
-1, 1
Let 8325*c**2 - 6300*c + 8345*c**2 + 12616 - 16674*c**2 = 0. Calculate c.
-1577, 2
Let d(i) be the first derivative of i**4/4 + 25*i**3 + 276*i**2 + 1072*i - 1056. Factor d(n).
(n + 4)**2*(n + 67)
Suppose 0 = 2*f + 5 - 67. Let r = f + -29. Factor r*h**2 + 4 - 7*h**2 + 7*h**2 - 6*h.
2*(h - 2)*(h - 1)
Let t(n) be the second derivative of n**4/24 + 445*n**3/3 + 198025*n**2 + 306*n - 9. Factor t(y).
(y + 890)**2/2
Let i(t) be the second derivative of -1 - 165/2*t**2 + 20/3*t**3 - 9*t + 5/12*t**4. Factor i(d).
5*(d - 3)*(d + 11)
Let n(u) be the third derivative of 5*u**8/336 - u**7/42 - u**6/4 - u**5/6 + 25*u**4/24 + 5*u**3/2 - 3*u**2 + 105*u. Solve n(q) = 0.
-1, 1, 3
Let c = -238248 - -2144236/9. Solve 1/3*s**2 - c*s - 4/3 + 1/9*s**3 = 0 for s.
-3, -2, 2
Suppose 3363*g - 18560 = 3218*g. Solve 52/3*f**4 + g - 2*f**5 - 18*f**3 - 168*f**2 + 992/3*f = 0.
-3, -1/3, 4
Let x(k) = -1022*k + 1030*k + 7*k**3 - 4*k**2 + 0*k**3 + 248. Let z(h) = h**3 + h**2 + h - 1. Let f(o) = 5*x(o) - 40*z(o). Suppose f(t) = 0. Calculate t.
-8, 4
Let h(c) =