Suppose 0*s - 2*s - 13 = -3*t, 5*s + 24 = -t. Let -9/4*z - 1/4*z**3 + 3/2*z**2 + t = 0. What is z?
1, 4
Let r(b) be the first derivative of -3/20*b**2 + 1/120*b**4 - 28 - 1/30*b**3 + 25*b. Let k(v) be the first derivative of r(v). Let k(u) = 0. What is u?
-1, 3
Let w(k) = -2*k - 31. Let u be w(-25). Let n(m) be the first derivative of -u - 1/23*m**2 - 2/69*m**3 + 0*m. Factor n(a).
-2*a*(a + 1)/23
Let c be 3/(36/(-244)) - 5/(-15). Let u be (-132)/330 + (-143)/c. Solve 3/4*i**2 + 6 + u*i = 0 for i.
-8, -1
Solve 0 - 48/5*t**4 + 28*t**3 - 144/5*t + 4/5*t**5 + 48/5*t**2 = 0.
-1, 0, 1, 6
Suppose -5*x = -26*x + 21. Let n be x/((9 - 4)/15). Factor 428*b**n - b**2 + b - b + b**4 - b - 427*b**3.
b*(b - 1)*(b + 1)**2
Let z = -599309/14 + 42808. Let y(d) be the first derivative of 0*d - 2/7*d**3 + 6/35*d**5 + 0*d**4 + z*d**2 + 8 - 1/14*d**6. Factor y(g).
-3*g*(g - 1)**3*(g + 1)/7
Suppose -1 = -k, 0 = -5*m + 2*k - k + 49. Suppose -3*z - 2*z = -m. Factor 2*t + 1 + 3 + 8*t + t**z - 6*t.
(t + 2)**2
Let i(k) be the first derivative of -9/4*k + 96 + 1/16*k**4 - 11/12*k**3 + 19/8*k**2. Factor i(v).
(v - 9)*(v - 1)**2/4
Let b be (12/(-25))/(980/(-12250)). Let t(g) be the first derivative of 0*g**3 + 0*g + b + 0*g**2 + 4/35*g**5 - 2/7*g**4. Factor t(y).
4*y**3*(y - 2)/7
Let h = -22204 - -22209. Suppose 8/3 + 20/3*w**h - 40/3*w**3 + 20/3*w - 16/3*w**2 + 8/3*w**4 = 0. Calculate w.
-1, -2/5, 1
Suppose -402*d - 1516*d + 5993 + 476 - 715 = 0. Let 154/3*j**2 + 320/3*j + 10/3*j**d + 104/3 = 0. Calculate j.
-13, -2, -2/5
Suppose -h + 8 = 3*p - 4, 0 = 3*h + 4*p - 41. Let a be 0*((-3)/h - (-4)/(-5)). Let 1/4*s**2 + a - 5/4*s = 0. Calculate s.
0, 5
Suppose -4*d - 6 = -6*d. Suppose s + 3 = -y - y, s = 3*y - d. Factor -3*z**2 - 303 + 306 + y*z**2.
-3*(z - 1)*(z + 1)
Let l be (24/42)/(23/7 - 3). Factor -26*k**l - 676 + 22*k**2 - k + 105*k.
-4*(k - 13)**2
Let f(t) = -9*t - 148. Let b be f(-17). Suppose b*p - 4*a = 35, 2*a + 10 - 9 = -3*p. Let 8/13*o + 8/13*o**2 + 0 + 2/13*o**p = 0. What is o?
-2, 0
Let k(q) be the third derivative of 1/40*q**6 + 0*q + 16 + 0*q**5 - 5*q**2 + 0*q**3 - 1/2*q**4. Factor k(s).
3*s*(s - 2)*(s + 2)
Let t = -1007 - -1009. Let m be (((-2)/3)/t)/(1547/(-6630)). Factor m*y**2 - 2/7 - 8/7*y.
2*(y - 1)*(5*y + 1)/7
Let m = 74 - 74. Suppose 8*q - 32 = -m*q. Determine c, given that q + 11*c + 26 - 6*c - 5*c**2 = 0.
-2, 3
Let l(p) be the first derivative of -p**4/8 + 31*p**3/2 + 189*p**2/4 + 95*p/2 - 1558. Factor l(d).
-(d - 95)*(d + 1)**2/2
Let i(s) be the third derivative of 1/10*s**5 + 1/525*s**7 - 2 + 0*s - 16/15*s**3 - 2/75*s**6 + 2*s**2 + 2/15*s**4. Find y such that i(y) = 0.
-1, 1, 4
Find c such that 7563*c**3 - 5*c**5 - 252*c**2 - 7557*c**3 + 27*c**4 + 216*c + 8*c**5 = 0.
-6, 0, 1, 2
Let i(m) = -17*m + 52. Let r be i(5). Let u(t) = 9*t + 297. Let w be u(r). Solve 0*x + 1/3*x**4 + w*x**3 - 1/3*x**5 + 0*x**2 + 0 = 0.
0, 1
Let w = 331/501 + 1/167. Let v = 19/6 - w. Let 5/4*c**2 - 15/4*c - v + 15/4*c**3 + 5/4*c**4 = 0. What is c?
-2, -1, 1
Let s(p) be the first derivative of p**5 + 20*p**4 + 265*p**3/3 + 155*p**2 + 120*p + 1949. Factor s(o).
5*(o + 1)**2*(o + 2)*(o + 12)
Let a(s) be the second derivative of -s**5/20 - 15*s**4/2 + 93*s**3/2 - 224*s. Factor a(g).
-g*(g - 3)*(g + 93)
Suppose -59*k - 12*k = 0. Let q(w) be the second derivative of -1/12*w**4 + k*w**3 - 1/40*w**5 + 0*w**2 + 0 - 26*w. Determine v, given that q(v) = 0.
-2, 0
Solve 0*i + 2/3*i**4 - 502/3*i**3 + 0*i**2 + 0 = 0.
0, 251
Let w = -10/21 + 9/14. Let -1/6*c - 1/6*c**2 + w + 1/6*c**3 = 0. What is c?
-1, 1
Factor -1/2*l**4 + 11*l**3 + 0 + 24*l**2 + 0*l.
-l**2*(l - 24)*(l + 2)/2
Let l = -78400 - -78403. Let 432/5*q + 138/5*q**2 + 243/5 - 48/5*q**l + 3/5*q**4 = 0. Calculate q.
-1, 9
Let c(h) be the first derivative of -22*h**3 - 6*h**2 + 441*h + 48. Let b(q) = 5*q**2 + q - 34. Let a(k) = -27*b(k) - 2*c(k). Factor a(u).
-3*(u - 3)*(u + 4)
Let g(q) be the second derivative of 2*q + 1/20*q**6 - 1/168*q**7 + 0*q**2 + 0*q**3 - 1 - 3/20*q**5 + 1/6*q**4. Factor g(v).
-v**2*(v - 2)**3/4
Let z(s) be the third derivative of -s**6/240 - 103*s**5/20 + 413*s**4/16 - 155*s**3/3 - 6109*s**2. Factor z(k).
-(k - 1)**2*(k + 620)/2
Let u(d) = 3052*d**3 + 11982*d**2 + 11954*d - 24. Let b(m) = -6093*m**3 - 23964*m**2 - 23910*m + 48. Let t(j) = -5*b(j) - 9*u(j). Suppose t(c) = 0. What is c?
-2, 2/999
Let q = 429 - 426. Suppose 0 = -q*v + 4*v - 2. Factor 1/4*l**v - 1/2 + 1/4*l.
(l - 1)*(l + 2)/4
Factor -261*n**2 + 1856 - 373956 + 2440*n + 257*n**2.
-4*(n - 305)**2
Let j be (1 + 621/(-648))*4. Factor 16/3*x + 64/3 - 7/3*x**2 + j*x**3.
(x - 8)**2*(x + 2)/6
Let k(z) be the first derivative of -z**5/30 - z**4/12 + 5*z**3/18 + z**2/2 - 1360. Factor k(h).
-h*(h - 2)*(h + 1)*(h + 3)/6
Let i be ((4/(-60))/(1/(-351)*-13))/((-21)/35). Let -3104/15*w**2 + 192/5 + 6/5*w**5 + 304/3*w**i + 608/5*w - 284/15*w**4 = 0. What is w?
-2/9, 2, 6
Let i(j) be the third derivative of -j**8/588 + 422*j**7/245 - 50243*j**6/105 + 32864*j**5/35 + 99856*j**4/21 - 5487*j**2. Find f such that i(f) = 0.
-1, 0, 2, 316
Let m(p) be the second derivative of -p**5/70 + 197*p**4/21 - 12804*p**3/7 - 78408*p**2/7 - 3862*p - 2. Factor m(c).
-2*(c - 198)**2*(c + 2)/7
Let n(t) be the third derivative of -t**5/12 + 1895*t**4/24 + 955*t**3 - 2*t**2 - 16*t + 8. Factor n(b).
-5*(b - 382)*(b + 3)
Let t(j) = 4*j**3 - j**2 + 1. Let x(m) = -7*m**3 - 152*m**2 + 790*m - 1003. Let b(a) = -3*t(a) - x(a). Solve b(h) = 0.
2, 4, 25
Let v(r) be the third derivative of -5*r**6/8 + 199*r**5/12 + 95*r**4/3 + 70*r**3/3 - 1600*r**2 + 2*r + 2. Determine p so that v(p) = 0.
-2/5, -1/3, 14
Let m(u) be the third derivative of u**6/120 + 51*u**5/50 + 361*u**4/120 + 2*u**3 - 2265*u**2. Factor m(k).
(k + 1)*(k + 60)*(5*k + 1)/5
Let g(y) be the third derivative of 8/45*y**6 + 8/9*y**4 - 2/3*y**5 + 1 - 1/504*y**8 + 0*y + 0*y**3 - 15*y**2 - 1/105*y**7. Solve g(n) = 0.
-8, 0, 1, 2
Let r(n) be the first derivative of 2*n**3/21 - 88*n**2 - 5540. Determine g, given that r(g) = 0.
0, 616
Let a(v) be the first derivative of 2*v**6/3 - 1776*v**5/5 + 443*v**4 + 333. Factor a(j).
4*j**3*(j - 443)*(j - 1)
Let k(s) = s**2 - 6*s. Let z(o) = -3*o - 38. Let l be z(-7). Let a(d) = -3*d**2 + 17*d. Let w(j) = l*k(j) - 6*a(j). Factor w(i).
i**2
Let a = -27485 - -27485. Determine y, given that -2/15*y**2 - 4/5*y + a = 0.
-6, 0
Suppose 4*l - 444 = -4*k, 2*k + l = 5*k - 349. Suppose -k - 17 = -6*s. Factor 15*h - 27*h - 57*h - 84*h**2 - s*h**3 - 3*h + 16.
-2*(h + 2)**2*(11*h - 2)
Factor -25891388 + 25923*c - 3*c**2 - 4263*c - 13204912.
-3*(c - 3610)**2
Let o be 5*(-1)/(5/(-2)). Let i be 504/735*42/(-12)*40/(-132). Suppose 2/11*b**o + 8/11 - i*b = 0. Calculate b.
2
Factor 474*m - 2*m**3 + 152 + 477*m - 1417*m - 38*m**2 + 474*m.
-2*(m - 2)*(m + 2)*(m + 19)
Let r = -92/353 - -5432/4589. Suppose r + 2*h + 4/13*h**3 + 18/13*h**2 = 0. What is h?
-2, -3/2, -1
Let n(u) = -4*u**2 - 5*u - 3. Let r(d) = -34*d**2 - 46*d - 26. Let s(o) = -52*n(o) + 6*r(o). Let y(v) = v**3 - v**2. Let q(x) = -s(x) - 4*y(x). Factor q(j).
-4*j*(j - 2)*(j + 2)
Suppose -5*b = 3*s - 602, 3*s + 46 = -4*b + 530. Find m such that 36*m**3 - 36*m**2 + 30*m - 32*m**3 - b*m = 0.
-2, 0, 11
Let j(v) be the second derivative of 15*v**4/4 + 127*v**3/7 + 48*v**2/7 + 661*v. Find n, given that j(n) = 0.
-16/7, -2/15
Suppose 139*d = 134*d + 60. Factor -d*j**2 + 10*j + 14 + 7*j**2 - 19.
-5*(j - 1)**2
Determine b, given that -3969*b - 65/2*b**4 - 1/4*b**5 - 4095*b**2 - 4477/4*b**3 + 0 = 0.
-63, -2, 0
Let p(k) be the third derivative of k**7/70 + k**6/240 + 7*k**2 - 13*k. Find m, given that p(m) = 0.
-1/6, 0
Let b = 17436/5 - 3486. Factor b*d - 1/5 + 7/5*d**2.
(d + 1)*(7*d - 1)/5
Let o(x) be the first derivative of 35*x**6/4 + 213*x**5/5 - 291*x**4/8 - 178*x**3 + 195*x**2 + 24*x - 161. Determine y so that o(y) = 0.
-4, -2, -2/35, 1
Let h = 15644 - 15644. Let v(i) be the third derivative of -7/60*i**6 + 0*i + h*i**3 + 0 - i**4 - 4*i**2 - 8/15*i**5 - 1/105*i**7. Factor v(y).
-2*y*(y + 2)**2*(y + 3)
Let l = -174 + 282. Factor -972 - 32*s**2 + 32*s**2 - 3*s**2 - l*s.
-3*(s + 18)**2
Find m such that -87*m - 567*m**4 - 170*m**3 + 147*m**5 + 591*m**2 - 59*m - 67*m**3 + 236*m - 24 = 0.
-1, -2/7, 1/7, 1, 4
Suppose 0 = 2*l - 11*l + 63. Factor l + 20*g**3 - 14 + 7 + 5*g*