*w**2*(w - 1)**3/3
Let i(c) be the third derivative of 2*c**7/525 + 17*c**6/150 - c**5/25 - 53*c**4/30 - 68*c**3/15 - 24*c**2 + 5. What is y in i(y) = 0?
-17, -1, 2
Let p = 48 - 52. Let t(g) = 188*g**2 + 179*g**2 + 6*g - 5 - 360*g**2. Let n(l) = -l**2 - 1. Let d(y) = p*n(y) - t(y). Factor d(w).
-3*(w - 1)*(w + 3)
Let x(h) = -h**2 + 16*h - 8. Let b be x(12). Suppose 4*f + 5 = 5*m + b, -2*m = -5*f + 31. Suppose 73*a**5 - 3*a**3 - 33*a**5 - 37*a**f = 0. Calculate a.
-1, 0, 1
Let p(d) = -12*d**3 + 40*d**2 - 48*d + 40. Let k = 732 - 740. Let b(r) = -8*r**3 + 27*r**2 - 32*r + 25. Let f(x) = k*b(x) + 5*p(x). Let f(n) = 0. What is n?
0, 2
Let b be 18/(-2) + (54 - 42). Let i(r) be the first derivative of -4*r**2 + 0*r + r**4 + 4/3*r**b + 12. Let i(f) = 0. Calculate f.
-2, 0, 1
Let f = -2029 - -2031. Suppose -3*y - 8 = 5*r - f, 3*y - 18 = 3*r. Suppose 1/5*u**5 + 0*u**4 + 1/5*u - 2/5*u**y + 0 + 0*u**2 = 0. What is u?
-1, 0, 1
Let n(l) = 74*l**2 + 686*l - 3280. Let v(p) = 29*p**2 + 275*p - 1312. Let i(o) = 7*n(o) - 18*v(o). Suppose i(k) = 0. What is k?
-41, 4
Find x, given that 184*x**2 + 765*x + 5*x**4 + 371*x**2 - 12*x**3 + 127*x**3 = 0.
-17, -3, 0
Let s(f) be the third derivative of -2*f**2 + 0*f**4 + 1/48*f**6 - 44*f + 1/420*f**7 + 0 + 0*f**3 + 1/30*f**5. Let s(i) = 0. Calculate i.
-4, -1, 0
Let f = -8966 + 80696/9. Let y(o) be the first derivative of 8/45*o**5 - 5/9*o**4 + 16/27*o**3 + 0*o + 4 - f*o**2. Factor y(q).
4*q*(q - 1)**2*(2*q - 1)/9
Let r(y) be the third derivative of y**6/60 + 97*y**5/120 + 23*y**4/4 + 21*y**3/4 + 3515*y**2 + y. Factor r(g).
(g + 3)*(g + 21)*(4*g + 1)/2
Let j = 231 - 226. Let x be 1*(j + -3 - 2). Factor x - 1/4*y + 1/4*y**4 + 1/4*y**3 - 1/4*y**2.
y*(y - 1)*(y + 1)**2/4
Factor -6105352*l**2 + 27 - 2*l**3 + 6105362*l**2 - 27.
-2*l**2*(l - 5)
Suppose 2*y = -2*s - 2 + 10, -4*s = -4*y. Let l(n) = 4*n - 33. Let p be l(9). Factor p*t**4 - 3 - t**2 + 13 - y*t**3 - 10.
t**2*(t - 1)*(3*t + 1)
Let q(d) = 20*d - 1252. Let r be q(63). Let s(a) be the second derivative of -r*a**3 - 11*a + 0 + 96*a**2 + 1/4*a**4. Let s(x) = 0. Calculate x.
8
Suppose 32*t - 80 = 41*t - 49*t. Let o(b) be the first derivative of -10 - 10/3*b**3 - 15/2*b**t + 10*b. Suppose o(w) = 0. Calculate w.
-2, 1/2
Let 23*r - 13*r**2 + 52*r + 48 + 2*r**2 + 4*r**2 - 41*r = 0. What is r?
-8/7, 6
Suppose -c = -a - 4, -60*c + 5*a = -56*c - 18. Let m(b) be the second derivative of 15/2*b**2 + 5*b - 1/4*b**4 - c*b**3 + 0. Let m(r) = 0. Calculate r.
-5, 1
Let o = 63173 + -63171. Suppose -3/5*b**4 - 11/5*b**o - 6/5*b + 0 + 4*b**3 = 0. What is b?
-1/3, 0, 1, 6
Let s(o) be the third derivative of o**7/5460 - 2*o**6/585 + 7*o**5/260 - 3*o**4/26 - 7*o**3 - 53*o**2. Let x(h) be the first derivative of s(h). Factor x(r).
2*(r - 3)**2*(r - 2)/13
Suppose 1142*h - 1909 - 2420 - 1381 = 0. Let -40/11*l**2 + 36/11*l**3 + 16/11*l + 2/11*l**h + 0 - 14/11*l**4 = 0. What is l?
0, 1, 2
Let g(x) = -2*x - 6. Let i be g(-5). Let u = -18190 - -18193. Suppose -2/7*r**u + 2/7*r**5 + 0*r + 0 + 2/7*r**2 - 2/7*r**i = 0. What is r?
-1, 0, 1
Let z(t) = t**3 + 8*t**2 + 7*t - 4. Let b be z(-4). Factor -16*l**2 - 2*l**3 - 48*l + 0*l**3 - 8*l**2 - 2*l**3 - b.
-4*(l + 2)**3
Factor 29394*b**2 - 27636*b + 3*b**4 + 271837*b**3 - 21759 - 272428*b**3 - 35865.
3*(b - 98)**2*(b - 2)*(b + 1)
Let h(k) be the second derivative of -k**6/30 + 11*k**5/10 - 31*k**4/4 + 70*k**3/3 - 34*k**2 + 12*k + 4. Suppose h(w) = 0. Calculate w.
1, 2, 17
Let c be (-79)/869 + (-57)/(-22). Let s(g) be the second derivative of 1/4*g**4 + 0 + 9*g**2 - 14*g - c*g**3. Determine x so that s(x) = 0.
2, 3
Solve -1149/7*r + 0 + 3/7*r**2 = 0.
0, 383
Let p(h) = 14*h - 141. Let v be p(12). Let a(u) = -11*u**2 - 80*u + 67. Let f(q) = -75*q**2 - 558*q + 471. Let r(m) = v*a(m) - 4*f(m). Factor r(d).
3*(d - 1)*(d + 25)
Suppose 0 = 4*l + t + 20 - 21, -4*t = -6*l + 62. Factor -1/2*v**4 + 32*v - 24*v**2 + 6*v**l + 0.
-v*(v - 4)**3/2
Suppose -22 = -3*y + 2*o, 20 = 301*y - 299*y - 2*o. Factor -3/7*w**y + 36/7*w + 0.
-3*w*(w - 12)/7
Factor 0*y**2 + 341*y + y**2 + 78 - 2*y**2 + 0*y**2 - 348*y.
-(y - 6)*(y + 13)
Let x be -2*((-4)/(-10))/(17/(-15725)). Let i = -2957/4 + x. Factor 3/8*c**2 - 3 + i*c.
3*(c - 2)*(c + 4)/8
Let c(z) be the first derivative of z**6/24 - 3*z**5/5 + 27*z**4/8 - 28*z**3/3 + 105*z**2/8 - 9*z - 416. Suppose c(h) = 0. Calculate h.
1, 3, 4
Suppose -44*r = -33*r - 1056. Suppose -9 + 48*t**4 + 57 - 846*t**5 - 8*t**3 + 850*t**5 - r*t**2 + 4*t = 0. Calculate t.
-12, -1, 1
Let y(f) be the third derivative of 1/12*f**5 + 0*f - 5/24*f**4 + 0*f**3 + 0 + 22*f**2. Factor y(h).
5*h*(h - 1)
Factor 361/5*a + 38/5*a**2 + 1/5*a**3 + 0.
a*(a + 19)**2/5
Let q = -103 - -110. Suppose -2*w**2 + 3 - w**2 + 36*w + q*w**3 + 36*w - 79*w = 0. What is w?
-1, 3/7, 1
Let y(s) be the third derivative of -s**6/600 - 11*s**5/75 - 7*s**4/10 - 2*s**2 - 1213. Factor y(v).
-v*(v + 2)*(v + 42)/5
Let f be 1*(5 + (-12636)/30). Let u = f - -417. Factor u*n**2 - 16/5*n - 4.
4*(n - 5)*(n + 1)/5
Let d(o) be the third derivative of o**5/90 - 47*o**4/2 + 19881*o**3 + 233*o**2 - 2*o. Factor d(k).
2*(k - 423)**2/3
Suppose -3*b + 3*o + 4 = 7, b + 2*o - 14 = 0. Suppose -4*j = 5*j - b*j. Factor 3*d**4 + 0*d - 3/4*d**3 + 0 + j*d**2.
3*d**3*(4*d - 1)/4
Determine q, given that 0*q + 0 - 243/7*q**2 - 27/7*q**3 + 3/7*q**5 + 27/7*q**4 = 0.
-9, -3, 0, 3
Suppose 1181*p**2 - 2478*p + 511707 - 538*p**2 - 640*p**2 = 0. Calculate p.
413
Let y(h) be the third derivative of -h**8/12600 - h**7/6300 + h**6/2700 + h**5/900 - 29*h**3/3 + 55*h**2. Let z(l) be the first derivative of y(l). Factor z(f).
-2*f*(f - 1)*(f + 1)**2/15
Let t(d) be the first derivative of -d**4 + 6668*d**3/3 - 1391110*d**2 + 2775556*d - 10734. Factor t(i).
-4*(i - 833)**2*(i - 1)
Suppose 8*g = 10*g + 5*y - 11, g - 1 = 2*y. Let x(t) be the second derivative of -10/3*t**g - 25/12*t**4 + 0 + 0*t**2 - 7*t - 1/4*t**5. Solve x(w) = 0 for w.
-4, -1, 0
Let h(a) be the second derivative of a**6/120 + 7*a**5/40 + 5*a**4/4 - a**3/2 + 4*a**2 - 65*a. Let b(p) be the second derivative of h(p). Factor b(l).
3*(l + 2)*(l + 5)
Let x(b) be the first derivative of b**5/15 - 9*b**4/4 + 100*b**3/9 + 192*b**2 + 1024*b/3 + 812. Solve x(i) = 0.
-4, -1, 16
Let t(u) = u**2 - 16*u - 34. Let b be t(18). Suppose 17 - b = 3*w. Factor 5*z**w - 166*z + 20*z**4 + 20*z**3 + 166*z.
5*z**3*(z + 2)**2
Let h(l) = -2*l**3 + l + 1. Let t(q) = 7*q**3 + 11*q**2 - 17*q - 27. Let j(z) = 6*h(z) + 2*t(z). Factor j(c).
2*(c - 2)*(c + 1)*(c + 12)
Suppose -96*a - v + 5 = -179*a + 90*a, 27 = -3*v. Factor -1/4 + 3*o - 9*o**a.
-(6*o - 1)**2/4
Let c(a) be the first derivative of a**4/4 - 89*a**3/3 - 138*a**2 + 1208. Factor c(k).
k*(k - 92)*(k + 3)
Let n(s) be the second derivative of -s**4/42 + 64*s**3/21 - 295*s**2/7 + 522*s. Suppose n(m) = 0. What is m?
5, 59
Let o(n) = -70*n**2 + 48*n + 871. Let d(h) = 31*h**2 - 26*h - 436. Let q(z) = -9*d(z) - 4*o(z). Factor q(r).
(r + 20)*(r + 22)
Let n = -71 + 82. Suppose -n = -2*v - 7. Solve -3 + 10*a**2 + 10*a + 8*a**v - 23*a**2 - 2 = 0.
1
Suppose 21*g = 23*g - 6. Let k(r) be the second derivative of 2/3*r**6 + 5/2*r**g + 0 + 5/2*r**2 - 25/12*r**4 + 17*r - 3/4*r**5. Determine i so that k(i) = 0.
-1, -1/4, 1
Let f = 4426517/13 + -340499. Determine x, given that 2/13*x**2 + 0 - f*x = 0.
0, 15
Solve 150 - 420*n + 9/2*n**5 - 477/2*n**2 + 831/2*n**3 + 177/2*n**4 = 0.
-10, -1, 1/3, 1
Suppose -40*v + 68*v = -840. Let c be (4/(-5))/((-138)/v - 5). Factor 0*j**3 + 4/11*j**c - 4/11*j**4 + 0 + 2/11*j**5 - 2/11*j.
2*j*(j - 1)**3*(j + 1)/11
Suppose 7*k - 16 = -2. Factor 4*r**5 - 10*r**2 - 2*r**5 - 3*r**k + 12*r**3 + 2*r + 21*r**2 + 8*r**4.
2*r*(r + 1)**4
Let -26/17*p**2 + 54/17*p + 2/17*p**4 - 6/17*p**3 + 72/17 = 0. What is p?
-3, -1, 3, 4
Let u(o) be the first derivative of 6/5*o - 287 + o**2 + 2/15*o**3 - 1/10*o**4. Solve u(k) = 0.
-1, 3
Let s = -9456529/11 + 859699. Suppose -s*t + 160/11*t**3 - 450/11*t**4 + 458/11*t**2 - 8/11 = 0. Calculate t.
-1, -2/45, 2/5, 1
Suppose 4*b - 3*p + 2 + 5 = 0, 4*p = 5*b + 10. Let s(z) be the first derivative of -2/5*z**5 + z**4 - 3/2*z**b + 0*z - 4 - 1/6*z**6 + 2/3*z**3. Factor s(x).
-x*(x - 1)**2*(x + 1)*(x + 3)
Let w(h) be the second derivative of h**4/28 + 6*h**3/7 + 33*h**2/14 - h - 267. Determine z, given that w(z