, 0, 2
Let g(n) be the third derivative of -3/35*n**7 + 1/30*n**6 - 3*n**3 - 1/12*n**4 - 1/168*n**8 + n**2 + 3/5*n**5 + 0 + 125*n. Let g(k) = 0. What is k?
-9, -1, 1
Let x be (-2)/3 - (-26)/12. Let z = -1447632 + 8685793/6. Determine a so that -1/2*a**2 - z*a**3 + x*a - 5/6 = 0.
-5, 1
Let w(j) = -j**3 + 70*j**2 + 208*j + 803. Let y be w(73). Let a(g) be the first derivative of -5/6*g**4 + 0*g**2 - 40 + y*g + 4/3*g**3 + 2/15*g**5. Factor a(h).
2*h**2*(h - 3)*(h - 2)/3
Let c(i) be the third derivative of -i**5/4 - 13107*i**4/8 - 2621*i**3 - 4368*i**2 + 2*i + 2. Factor c(l).
-3*(l + 2621)*(5*l + 2)
Let f(t) be the second derivative of -15*t**7/98 + 38*t**6/35 + 243*t**5/140 + 9*t**4/14 - 1316*t. Solve f(z) = 0.
-3/5, -1/3, 0, 6
Let h be (-438)/(-292) + 5*2/(-8). Let o(a) be the second derivative of -5/2*a**2 + 5/2*a**3 + 0 - 5/4*a**4 + h*a**5 - 7*a. Factor o(b).
5*(b - 1)**3
Suppose 0 = 5*g + 3*u + 21, 0 = g + 3593*u - 3591*u + 14. Factor 2/5*w - 2/5*w**2 + g.
-2*w*(w - 1)/5
Factor -1580*d**3 - 79*d**2 - 3*d**4 + 1507*d**3 - 9*d**2 + 92*d.
-d*(d + 2)*(d + 23)*(3*d - 2)
Suppose 0 = 3*o - 4*t - 28, -2*o + 4 = -4*t - 20. Factor -3*g**3 + o - 97*g**2 - 4 - 12*g + 109*g**2.
-3*g*(g - 2)**2
Factor 67*d - 1107*d - 490*d + 180*d**2 + 5*d**3 + 315*d**2.
5*d*(d - 3)*(d + 102)
Let i(m) be the third derivative of m**6/75 - 883*m**5/150 + 8029*m**4/10 + 4107*m**3 - m**2 + 496*m + 2. Factor i(c).
2*(c - 111)**2*(4*c + 5)/5
Find l such that -25/4*l**2 + 15 + 25*l - 25/2*l**3 + 15/4*l**4 = 0.
-1, -2/3, 2, 3
Let b = -941/2 + 479. Let l = b + -7. Suppose -3/2*h**2 + l*h**5 - 3/2*h**3 + 0*h + 3/2*h**4 + 0 = 0. Calculate h.
-1, 0, 1
Let l(g) be the first derivative of -1/25*g**5 + 16/15*g**3 - 3*g - 7/5*g**2 + 7/10*g**4 + 33. Factor l(j).
-(j - 15)*(j - 1)*(j + 1)**2/5
Let o(k) be the second derivative of -3 - 26/15*k**3 - 23*k - 676/5*k**2 - 1/120*k**4. Factor o(p).
-(p + 52)**2/10
Let v(j) be the third derivative of -j**5/60 + 8*j**4 + 2*j**2 + 299*j. Let v(q) = 0. Calculate q.
0, 192
Let k(q) be the third derivative of q**6/30 + 50*q**5/3 - 251*q**4/6 + 3627*q**2. Factor k(c).
4*c*(c - 1)*(c + 251)
Factor -15/2*y - 50 + 1/2*y**2.
(y - 20)*(y + 5)/2
Let 351/7*j**2 + 1440/7*j + 1452/7 - 3/7*j**3 = 0. Calculate j.
-2, 121
Let k be (1 - 54/48) + (39215/744)/115. Determine t, given that 1/3*t + k*t**3 - 2 + 4/3*t**2 = 0.
-3, -2, 1
Suppose 39*w = 6203 - 3052 - 3073. Factor -33/4*d**4 + 0*d**w - 5/4*d**5 + 0*d + 0 + 7/2*d**3.
-d**3*(d + 7)*(5*d - 2)/4
Let y(v) = 164*v - 3442. Let c be y(21). Let m(t) be the third derivative of 1/20*t**5 + 0 - c*t**4 + 28*t**2 + 32*t**3 + 0*t. Find p such that m(p) = 0.
8
Let v = 635/7304 - -63/664. Factor v*d**3 - 20/11*d**2 + 144/11 + 24/11*d.
2*(d - 6)**2*(d + 2)/11
Let r(u) = 17*u**2 - u + 1. Let x be r(-2). Determine k, given that x*k**2 - k**3 - 69*k**2 + 4 + 6 + 13*k = 0.
-2, -1, 5
Suppose 4*c - 5 = 3. Let g be ((-8)/12)/((-2)/48). Find a, given that 4 - 4 + g + 32*a + 4*a**3 + 20*a**c = 0.
-2, -1
Let a(u) = 4*u**3 - 229*u**2 - 3024*u - 12951. Let c(t) = 5*t**3 - 344*t**2 - 4536*t - 19425. Let w(n) = -7*a(n) + 5*c(n). Factor w(s).
-3*(s + 11)*(s + 14)**2
Let z(v) = -v**5 - 74*v**3 + 162*v**2 - 137*v + 40. Let l(s) = -s**5 - 2*s**3 + 2*s**2 - s. Let d(i) = -5*l(i) + z(i). Solve d(g) = 0.
-5, 1, 2
Factor 4/3*n**2 + 1/6*n**3 + 5/6*n - 7/3.
(n - 1)*(n + 2)*(n + 7)/6
Let m(p) = 2*p - 2. Let q = 18 - 16. Let l(t) = -t**q + 2*t - 1 + 11*t - 11*t. Let x(v) = -2*l(v) + 3*m(v). Factor x(h).
2*(h - 1)*(h + 2)
Factor 75/2*t - 3/2*t**3 - 27/2*t**2 + 99/2.
-3*(t - 3)*(t + 1)*(t + 11)/2
Suppose 5*t - k = 1950, 4*t - 1950 = -t - k. Let o be 2496/t + -8 + 2. Suppose o*c**3 - 26/25*c**2 + 8/25*c + 8/25 = 0. Calculate c.
-2/5, 1, 2
Suppose -x = 2*x - 84. Suppose 5*j = 8*j - 5*g - 11, 2 = 3*j + 4*g. Suppose -11*y**2 + 6*y**2 + 3*y**j + x*y - 98 = 0. Calculate y.
7
Let t(u) = -24*u**2 - 72*u - 686. Let f(j) = -83*j**2 - 215*j - 2061. Let p(i) = -4*f(i) + 14*t(i). Let p(b) = 0. What is b?
-20, -17
Let r be (45/(-630))/((-10)/35). Let p(w) be the second derivative of -4*w + 5/2*w**3 + 0 - r*w**5 + 0*w**4 + 5*w**2. Factor p(j).
-5*(j - 2)*(j + 1)**2
Let m = 276 - 281. Let t(q) = 7*q**2 + 16*q + 19. Let u(y) = 11*y**2 + 24*y + 28. Let l(j) = m*u(j) + 8*t(j). Suppose l(b) = 0. What is b?
-6, -2
Let v(z) be the first derivative of z**5/240 + 13*z**4/192 + z**3/8 - 99*z**2/2 + 174. Let i(r) be the second derivative of v(r). Suppose i(d) = 0. What is d?
-6, -1/2
Let z(x) be the second derivative of -x**4/8 + 145*x**3/4 - 429*x**2/2 + 47*x - 12. Find h, given that z(h) = 0.
2, 143
Let -305 + 965 - 15*a**2 + 716541*a - 717521*a = 0. Calculate a.
-66, 2/3
Let c(b) be the third derivative of b**8/13440 + b**4 + b**3/2 + 84*b**2. Let p(a) be the second derivative of c(a). Suppose p(g) = 0. What is g?
0
Factor -22/5*b**2 + 0 + 1/5*b**3 + 0*b.
b**2*(b - 22)/5
Suppose 8 + 0 = -y. Let w be (y/6)/(8/(-12)). Solve -w - 6*d - 3*d**2 - 4 + 6 = 0 for d.
-2, 0
Solve -8/5 + k**3 + 2*k**2 - 1/5*k**5 - 4/5*k - 2/5*k**4 = 0 for k.
-2, -1, 1, 2
Let r(h) be the third derivative of h**5/480 - 251*h**4/24 + 63001*h**3/3 - 3*h**2 + h + 33. Determine g so that r(g) = 0.
1004
Let h(x) be the first derivative of x**4/12 + 76*x**3/9 + 73*x**2/6 - 50*x + 183. Factor h(s).
(s - 1)*(s + 2)*(s + 75)/3
Let l(v) be the first derivative of v**3/3 - 566*v**2 - 805. Factor l(x).
x*(x - 1132)
Let d(h) be the second derivative of 1/3*h**3 + 0 + 0*h**2 - 119*h + 1/24*h**4. Factor d(l).
l*(l + 4)/2
Let b = 200437 - 200435. Determine n, given that -4/5*n + 8/5 - 6*n**b - 23/5*n**3 - n**4 = 0.
-2, -1, 2/5
Suppose 0 = 10*m + 554 + 8586. Let s = m + 2798/3. Let -s*l + 2/3*l**2 + 392/3 = 0. Calculate l.
14
Factor 138144*k - 2740 + 481*k**2 - 138164*k + 5*k**3 + 204*k**2.
5*(k - 2)*(k + 2)*(k + 137)
Let q(c) be the first derivative of c**4/14 + 60*c**3 + 99852*c**2/7 + 394384*c/7 - 5384. Factor q(b).
2*(b + 2)*(b + 314)**2/7
Let n(u) be the second derivative of -u**4/36 - 31*u**3/18 + 16*u**2/3 + 82*u - 6. Find w such that n(w) = 0.
-32, 1
Let z = -136821/7 + 19547. Let t = 28/3 + -190/21. Factor -12/7*c**2 - 2/7 + z*c**3 + 8/7*c - t*c**4.
-2*(c - 1)**4/7
Let g = -402 - -404. Factor 3696 - 72*c**3 - 1847 + 4*c**g - 1849 - 4*c**4 + 72*c.
-4*c*(c - 1)*(c + 1)*(c + 18)
Let g(f) be the third derivative of -22/3*f**3 + 7/2*f**4 - 1/30*f**6 - 3/5*f**5 - 14 + 0*f + 4*f**2. Let g(l) = 0. What is l?
-11, 1
Determine f, given that 0 + 32*f - 2/17*f**2 = 0.
0, 272
Let p = -372 + 378. Let w(l) be the third derivative of 3/10*l**4 - 11/100*l**5 + 0 + 0*l + 10*l**2 - 2/5*l**3 + 3/200*l**p. Find k such that w(k) = 0.
2/3, 1, 2
Let t(o) be the second derivative of o**4/48 - 25*o**3/12 + 68*o**2 - 4678*o. Factor t(q).
(q - 34)*(q - 16)/4
Let p(d) be the second derivative of -7*d**6/10 - 15*d**5/4 + 327*d**4/4 - 135*d**3/2 - 4642*d. Factor p(l).
-3*l*(l - 5)*(l + 9)*(7*l - 3)
Suppose -2*x - 1 = -4*u + 5, 4*x = -u - 21. Let w be ((-1)/2)/(u/((-16)/(-12))). Determine v so that 1/3*v + 0 + w*v**2 + 1/3*v**3 = 0.
-1, 0
Let x(g) be the second derivative of g**4/78 + 62*g**3/13 - 567*g**2/13 + 2*g - 3377. Factor x(u).
2*(u - 3)*(u + 189)/13
Let h(y) be the first derivative of 8*y**5/5 + 53*y**4/2 - 206*y**3/3 + 31*y**2 + 30*y + 651. Determine w so that h(w) = 0.
-15, -1/4, 1
Let x(b) be the third derivative of b**6/240 + 169*b**5/20 + 28561*b**4/4 + 9653618*b**3/3 - 1021*b**2. Find j, given that x(j) = 0.
-338
Let m = 6572/16455 - -2/3291. Let x be 4/(-14)*2*14/(-4). Suppose 0 - 6/5*d**x - m*d**3 + 0*d = 0. Calculate d.
-3, 0
Let v = 10525 - 52613/5. Let y = 2628/5 - 524. Determine b, given that y - v*b + 4/5*b**2 = 0.
1, 2
Let p(w) be the second derivative of -w**4/3 + 18*w**3 - 100*w**2 - 1208*w. Determine l so that p(l) = 0.
2, 25
Let a = -1207923/2 + 603962. Factor -9/2*v**2 + 0 + a*v**3 + 4*v.
v*(v - 8)*(v - 1)/2
Let t be (122 + 0 + (-2 - -3))/(-1). Let w = t - -129. Let -m**4 + w*m - 48*m**3 - 7*m**2 + 2*m**4 + 48*m**3 = 0. Calculate m.
-3, 0, 1, 2
Let h = 16822/35 - 2396/5. Suppose 2*n = 0, 3*l - n = -2*n + 9. Factor -2/7*r**l - 16/7 - 4/7*r + h*r**2.
-2*(r - 4)*(r - 2)*(r + 1)/7
Let o(c) be the first derivative of 2*c**3/9 - 112*c**2/3 + 440*c/3 - 2166. Find d such that o(d) = 0.
2, 110
Let t(o) = -o**3 + 7*o**2 + 5