 0, 1
Let s(y) be the third derivative of y**7/840 + y**6/96 - 11*y**5/240 - 11*y**4/32 - 3*y**3/4 - 433*y**2. Let s(p) = 0. Calculate p.
-6, -1, 3
Let o(q) be the second derivative of q**7/315 + 4*q**6/225 - q**5/30 - 2*q**4/9 + 4*q**3/45 + 16*q**2/15 + 224*q - 3. Let o(g) = 0. What is g?
-4, -2, -1, 1, 2
Let j(v) be the second derivative of -34*v + 6/5*v**5 + 48/7*v**3 - 9/70*v**6 - 30/7*v**4 + 0 - 24/7*v**2. Factor j(s).
-3*(s - 2)**3*(9*s - 2)/7
Suppose 67 - 25 = 14*v. Let o(d) be the first derivative of d**2 + 2/3*d - 10 + 1/6*d**4 + 2/3*d**v. Let o(w) = 0. Calculate w.
-1
Let h(b) be the second derivative of b**4/66 - 13*b**3/3 + 142*b**2/11 - 5856*b. Suppose h(y) = 0. Calculate y.
1, 142
Let z be ((36/(-8))/(129 + -120))/(21/(-162)). Let z*f**3 - 81*f - 84 + 51/7*f**2 - 3/7*f**4 = 0. Calculate f.
-4, -1, 7
Suppose 5081*v - 7168 - 13156 = 0. Find g, given that 7/4*g**3 + 0 - 1/4*g**v - 1/4*g**5 - 3/2*g + 1/4*g**2 = 0.
-3, -1, 0, 1, 2
Suppose -174 + 186 = 6*k. Let y be (12/10 + -1)*20/k. Let 4/3*d + 8/3 - 4/3*d**y = 0. What is d?
-1, 2
Let y(w) = w**2 - w - 4*w**3 + 6*w**3 + 9 - 8 + 0. Let m be y(1). Determine r so that 377 + 3*r - r**4 - 3*r**m - 377 + r**2 = 0.
-3, -1, 0, 1
Suppose -3*d - 6 = 5*k, -3*k - 3 = 4*d + 2*k. Solve -11*y**2 - 4 - y**d + 11*y + 3*y**4 + y**5 + y - 24*y = 0 for y.
-2, -1, 2
Let d(f) be the first derivative of -70 + 60*f - 4/3*f**3 - 28*f**2. Factor d(r).
-4*(r - 1)*(r + 15)
Let r = 208 + -127. Let z = r + -56. Factor 23*m**4 + 41*m**4 - 176*m**3 - z*m + 53 - 51 + 108*m**2.
(m - 2)*(4*m - 1)**3
Let n = 311333 + -311331. Factor -78/17*l**n + 2/17*l**3 - 722/17 + 798/17*l.
2*(l - 19)**2*(l - 1)/17
Let f = -4915 + 73729/15. Let p(c) be the third derivative of 0 - 19*c**2 + 0*c - 5/6*c**4 + 4/3*c**3 - 1/30*c**6 + f*c**5. Find z such that p(z) = 0.
1, 2
Let n = -1604259/4 + 401065. Factor -n*x**3 + x**2 - 3/2 - 1/4*x.
-(x - 3)*(x - 2)*(x + 1)/4
Let y(w) be the third derivative of -w**7/210 - w**6/90 + 29*w**3/6 + 103*w**2. Let x(f) be the first derivative of y(f). Determine s, given that x(s) = 0.
-1, 0
Let r be (-1497)/(-21) - (-11)/((-231)/6). Factor -r*h - 6 + h**3 + 150*h - 68*h - 6*h**2.
(h - 3)*(h - 2)*(h - 1)
Let a(o) be the first derivative of -o**6/15 + 16*o**5/25 + 12*o**4/5 - 192*o**3/5 + 432*o**2/5 - 2681. What is i in a(i) = 0?
-6, 0, 2, 6
Let p be (-12)/720*6*-2. Let f(l) = l**2 - 14*l + 15. Let o be f(13). Factor p*z**o + 14/5*z + 49/5.
(z + 7)**2/5
Let c(d) be the first derivative of -21*d**4/4 - 127*d**3/18 - d**2/12 + 2177. Let c(z) = 0. Calculate z.
-1, -1/126, 0
Let y(s) be the second derivative of s**5/180 - s**3/2 - 41*s**2 + 109*s. Let z(d) be the first derivative of y(d). Factor z(t).
(t - 3)*(t + 3)/3
Determine u so that 5137 - 302*u**4 - 4873 + 596*u - 16*u**3 + 254*u**4 + 360*u**2 - 4*u**5 = 0.
-11, -2, -1, 3
Suppose 16/5*v**5 + 114048/5*v + 2556*v**3 - 71334/5*v**2 - 58806/5 + 984/5*v**4 = 0. What is v?
-33, 3/2
Let o(a) = 5*a + 50. Suppose 0 = -3*g - 0*l - l - 28, -3*g - 2*l - 29 = 0. Let s be o(g). Factor 39*i**3 + 41*i**3 - 74*i**3 + 17*i**4 + s*i**5.
i**3*(i + 3)*(5*i + 2)
Let q = 2702 + -2698. Let y(c) be the second derivative of -1/10*c**5 + 0*c**3 - 1/30*c**6 + 0*c**2 + 0 + 7*c - 1/12*c**q. What is s in y(s) = 0?
-1, 0
Suppose -20*z = -34*z + 28. Suppose -4*w**5 - 4 + 0*w**3 - 32*w - 4*w**4 + 20 + 4*w**z + 20*w**3 = 0. Calculate w.
-2, 1
Let u = 120 + -117. Let 536*k + 32 + 1887*k**3 + 2000*k**4 - 777*k**u + 1790*k**3 + 1560*k**2 - 168*k = 0. Calculate k.
-2/5, -1/4
Let f = 2844 - 244581/86. Let j = f + 20/43. Factor 1/2*n**3 - j*n + 0*n**2 + 0.
n*(n - 1)*(n + 1)/2
Suppose 10*u = 5*x + 6*u - 338, -3*x = 4*u - 222. Suppose -x = -5*c + 5*y, c - y + 5*y = 14. Factor 3*d - c*d + 9*d + 2*d**2.
2*d*(d - 1)
Let 0 - 3/4*x**5 + 33/8*x**4 + 3*x - 27/8*x**3 - 21/4*x**2 = 0. Calculate x.
-1, 0, 1/2, 2, 4
Let y(d) be the first derivative of -8/5*d**2 + 190 - 32/5*d + 14/15*d**3 - 1/10*d**4. Let y(t) = 0. Calculate t.
-1, 4
Let g(m) = -15*m**3 + 6276*m**2 - 4137150*m + 934997268. Let i(f) = 2*f**3 - 29*f**2 - f - 2. Let b(a) = g(a) + 6*i(a). Suppose b(u) = 0. Calculate u.
678
Find j, given that 241*j**4 - 236*j**4 - 795*j**3 + 405*j**3 = 0.
0, 78
Let w(i) be the third derivative of 0 + 1/6*i**4 - 29*i**2 - 1/30*i**6 - 8/3*i**3 + 0*i + 4/15*i**5. Factor w(h).
-4*(h - 4)*(h - 1)*(h + 1)
Suppose 3*d = -4*b + 24 - 1, 3*d - 13 = b. Let -25 - 18*o + 62*o - d*o**2 + 1 - 4*o**3 - 11*o**2 = 0. What is o?
-6, 1
Let w(o) = -o**3 - 96*o**2 + 1195*o + 1928. Let v be w(-107). Factor -3*l - l**v + 3/4*l**3 + 1/4*l**4 + 0.
l*(l - 2)*(l + 2)*(l + 3)/4
Let k(z) be the second derivative of z**6/420 + z**5/105 + z**4/84 - 24*z**2 + 33*z. Let a(w) be the first derivative of k(w). What is l in a(l) = 0?
-1, 0
Suppose 0 = 2*b + 5*n - 19, -b - 2*n + 5 = -2. Let f be (-8)/12*3/2 - b. Factor -2/13*c**4 + 0*c + 0*c**3 + 2/13*c**f + 0.
-2*c**2*(c - 1)*(c + 1)/13
Let s = -8639/266 - -1245/38. Factor -s*n**3 + 12/7*n - 6/7*n**2 + 16/7.
-2*(n - 2)*(n + 1)*(n + 4)/7
Factor -6*g**4 + 102*g**2 - 57*g**3 - 48*g**2 + 9*g**4 - 9 + 9.
3*g**2*(g - 18)*(g - 1)
Let z = 542884 - 2714416/5. Factor 12*b + 0 - z*b**2.
-4*b*(b - 15)/5
Let c(b) be the second derivative of b**6/90 - 139*b**5/60 - 35*b**4/9 + 2*b - 2308. Factor c(q).
q**2*(q - 140)*(q + 1)/3
Let x = -78/3139 + 6824/21973. Factor -x*t**3 + 16/7 + 2*t**2 - 4*t.
-2*(t - 4)*(t - 2)*(t - 1)/7
Let q(f) be the second derivative of -3*f - 5/24*f**4 + 1/8*f**2 - 36 + 3/40*f**6 + 1/3*f**3 - 1/10*f**5. Suppose q(b) = 0. Calculate b.
-1, -1/9, 1
Let p be 247/2 - 30/(-20). Let q be (-3)/3 - 425/p - -5. Suppose 9/5*r**3 + 3/5*r**4 + 9/5*r**2 + q*r + 0 = 0. Calculate r.
-1, 0
Factor -5*v**2 + v**2 + 3*v**2 + 264*v + 765 + 15*v**2 - 11*v**2.
3*(v + 3)*(v + 85)
Let b(d) = 33*d**2 + 206*d + 1728. Let j(i) = -2*i**2 + i - 2. Let k(l) = b(l) + 14*j(l). Suppose k(z) = 0. What is z?
-34, -10
Factor -50/9*x - 2/9*x**2 - 16/3.
-2*(x + 1)*(x + 24)/9
Let y(j) be the third derivative of j**7/630 + 19*j**6/36 - 32*j**5/15 - 98*j**2 + 12*j. Factor y(w).
w**2*(w - 2)*(w + 192)/3
Let f = -3 - -8. Let q be (14 + -19)/(2/(-10)). Factor -5*t**2 + f*t**3 - 10*t**2 - 5*t**2 + 1 + q*t - 11.
5*(t - 2)*(t - 1)**2
Let b(o) = o**3 - o + 1. Let m(g) = -5*g**3 + g - 6 + 3*g - 7*g**2 + 3*g + 5*g. Let x(f) = -6*b(f) - m(f). Factor x(z).
-z*(z - 6)*(z - 1)
Suppose -382*f + 30 = -395*f + 69. Determine d so that 1/3*d**5 - 8/3*d + 5/3*d**4 - 4/3 + 7/3*d**f - 1/3*d**2 = 0.
-2, -1, 1
Solve 91112*b**3 - 91116*b**3 + 12*b**2 + 5*b - b - 12 = 0 for b.
-1, 1, 3
Suppose -3*l + 5 - 20 = -3*d, -23 = -d - 5*l. Let k be (4 + 0)/d*(-108)/(-15). Find v such that 48/5*v - 2 - k*v**2 - 108/5*v**3 = 0.
-5/6, 1/3
Suppose 205*r = -471*r. Find x, given that 2/23*x**4 + 8/23*x**3 - 8/23*x - 2/23*x**2 + r = 0.
-4, -1, 0, 1
Let j(h) be the second derivative of 0*h**3 - 17/80*h**5 + 0 + 7*h - 1/120*h**6 + 0*h**2 - 1/3*h**4. Factor j(c).
-c**2*(c + 1)*(c + 16)/4
Factor 12/7*v**2 + 3/7 - 12/7*v.
3*(2*v - 1)**2/7
Let q = 4537/120 + -189/5. Let a(b) be the third derivative of 0*b + 1/30*b**5 - q*b**6 - 4/3*b**3 + 0 - 26*b**2 + 1/6*b**4. What is o in a(o) = 0?
-2, 2
Let a(p) be the first derivative of 155*p**3/3 - 695*p**2 + 1200*p + 5839. Factor a(g).
5*(g - 8)*(31*g - 30)
Factor -140/3*f + 2/3*f**4 + 20/3*f**3 + 0 + 22/3*f**2.
2*f*(f - 2)*(f + 5)*(f + 7)/3
Suppose 109*o - 52*o = 114. Let f(g) be the second derivative of 0*g**o + 0*g**3 + 6*g + 1/4*g**5 - 25/12*g**4 + 0. Factor f(a).
5*a**2*(a - 5)
Let x(b) be the third derivative of -b**6/60 + 8*b**5/5 + 17*b**4 + 208*b**3/3 - 7*b**2 + 7*b - 3. Factor x(m).
-2*(m - 52)*(m + 2)**2
Factor 37249/3 + 386/3*x + 1/3*x**2.
(x + 193)**2/3
Let h be ((-64)/(-28))/(1488/279). Determine b, given that 36/7 - h*b**2 - 3/7*b = 0.
-4, 3
Let l(n) be the second derivative of n**4/42 - 796*n**3/21 + 158404*n**2/7 + 11*n + 19. Factor l(s).
2*(s - 398)**2/7
Let w = -2977 + 29771/10. Let q(h) be the third derivative of -4/15*h**3 - w*h**4 + 0*h**5 + 0 + 0*h + 5*h**2 + 1/150*h**6. Determine o so that q(o) = 0.
-1, 2
Suppose -48/5*k**4 + 321/5*k**2 + 0 - 69*k**3 + 72/5*k = 0. Calculate k.
-8, -3/16, 0, 1
Let n(p) be the third derivative of 3*p**7/35 + 79*p**6/60 - 18*p**5/5 + 5*p**4/3 - 2*p**2 + 205. What is q in n(q) =