5 - 25*f**2 + 21*f**2 - 22*f**u.
-f**2*(f + 1)*(f + 2)**2
Let i = 3/746 + 70115/2238. Let h = i + -30. Factor h*p**2 - 2/3*p**3 - 2/3*p + 0.
-2*p*(p - 1)**2/3
Let w be (-6)/(-7) + 4/14. Let f = 907362/7 - 129622. Factor 2/7*h**4 - 6/7 - w*h + 4/7*h**2 + f*h**3.
2*(h - 1)*(h + 1)**2*(h + 3)/7
Let t(z) be the second derivative of 5*z**4/12 + 50*z**3 - 305*z**2/2 - 1736*z. Find d such that t(d) = 0.
-61, 1
Let h(y) be the first derivative of -1/14*y**4 - 1/7*y + 1/21*y**3 + 1/7*y**2 - 48. What is o in h(o) = 0?
-1, 1/2, 1
Let w(q) be the second derivative of q**7/231 + q**6/33 - q**5/110 - 5*q**4/66 - 531*q. Find v, given that w(v) = 0.
-5, -1, 0, 1
Let a(f) be the first derivative of -f**4/42 + 4*f**3/7 - 11*f**2/7 + 42*f + 28. Let n(l) be the first derivative of a(l). What is r in n(r) = 0?
1, 11
Let g be ((-28)/(-3))/(-7)*906. Let n = g + 1211. Factor -12/19 - 2/19*m**n - 8/19*m**2 + 22/19*m.
-2*(m - 1)**2*(m + 6)/19
Let l(g) be the first derivative of g**4/30 + 6*g**3/5 + 47*g**2/15 - 10*g + 1381. Suppose l(u) = 0. Calculate u.
-25, -3, 1
Let d(b) be the second derivative of 5*b**7/21 - 79*b**6/6 - 103*b**5/2 - 835*b**4/12 - 35*b**3 + 454*b. Suppose d(y) = 0. What is y?
-1, -1/2, 0, 42
Let p = 2/2673 - 173759/18711. Let t = p + 592/63. Factor -8/9*u**4 + 0*u**2 + 0 - t*u + 2/3*u**3 + 1/3*u**5.
u*(u - 1)**3*(3*u + 1)/9
Let y(n) be the first derivative of 46*n**2 + 79/3*n**3 + 20*n - 66 + 7/4*n**4. Let y(h) = 0. Calculate h.
-10, -1, -2/7
Let l = 16 - 12. Let q be 8/(-14)*(-14)/l. Factor -5*s**q + 7 + 22*s + 19*s + 3 - 46*s.
-5*(s - 1)*(s + 2)
Let i(c) be the third derivative of 1/240*c**5 - 1/96*c**4 + 0*c + 0*c**3 + 1/480*c**6 - 26 - 1/840*c**7 + 2*c**2. Factor i(n).
-n*(n - 1)**2*(n + 1)/4
Factor -90280*b**2 - 416*b**4 + 1319716*b - 3*b**5 - 407008 - 13344*b**3 + 256328 - 1064992 - b**5.
-4*(b - 6)*(b - 1)*(b + 37)**3
Let x = 6/20861 - -166834/187749. Determine k, given that 2/9*k**3 - 4/9*k**2 + 16/9 - x*k = 0.
-2, 2
Suppose 389 = -4*v + 405. Factor 5 + 43 - u + 23*u + v*u**2 - 2*u + 8*u.
4*(u + 3)*(u + 4)
Let c(j) be the third derivative of -j**5/45 + 541*j**4/72 + 68*j**3/3 + 4*j**2 + 372. Factor c(o).
-(o - 136)*(4*o + 3)/3
Let r(n) be the third derivative of 2*n**2 - 22 + 0*n - n**4 + 0*n**3 - 1/20*n**5. Factor r(p).
-3*p*(p + 8)
Let o(g) be the first derivative of -g**4/2 + 22*g**3/3 + 29*g**2 - 78*g + 2177. Suppose o(p) = 0. What is p?
-3, 1, 13
Let o(g) be the first derivative of 9*g**2 - 175 + 0*g**3 + 0*g + 16/15*g**5 - 1/9*g**6 - 3*g**4. Factor o(a).
-2*a*(a - 3)**3*(a + 1)/3
Let h = 97 - 97. Suppose z = -3, -41*p + 42*p + z + 1 = h. Factor 0 + 3/4*s - 3/4*s**p.
-3*s*(s - 1)/4
Suppose 0 = -5*c + 274 - 49. Determine a so that 146*a**2 + a**2 - 22*a**3 + c + 100*a - 37*a - 17*a**3 - 12*a**4 + 156*a = 0.
-5, -1, -1/4, 3
Factor -5*z**3 + 342*z - 141 - 19 - 1992*z**2 + 2*z**4 + 3823*z**2 - 2033*z**2 + 23*z**3.
2*(z - 5)*(z - 1)**2*(z + 16)
Let q(u) = -5*u**2 - 210*u + 230. Let y = 425 + -420. Let s(h) = -2*h**2 - 104*h + 115. Let o(b) = y*s(b) - 3*q(b). Factor o(t).
5*(t - 1)*(t + 23)
Let d(w) be the second derivative of -w - 3/10*w**4 + 21/100*w**5 + 0*w**3 - 1/70*w**7 + 0*w**2 + 0*w**6 + 17. What is f in d(f) = 0?
-3, 0, 1, 2
Let b = 381 - 381. Suppose b = -7*i - 3*i + 4*i. Factor 1/9*n**5 + 0*n + 0 + 0*n**4 + i*n**2 - 1/9*n**3.
n**3*(n - 1)*(n + 1)/9
Let z(a) be the second derivative of -52*a - 8/17*a**2 + 0 - 67/34*a**4 - 76/85*a**5 - 16/255*a**6 - 73/51*a**3. Solve z(u) = 0.
-8, -1, -1/4
Let j = -539 - -922. Let p = j + -380. Solve -1/2*a**2 + 1/2*a**4 + 0 - 1/2*a**5 + 3/2*a**p - a = 0.
-1, 0, 1, 2
Let q(r) = r**3 - r**2 + r + 6. Let i be q(0). Suppose l = 4*l - i. Factor 2*b**3 - 30*b - 32*b**l + 4*b**2 + 90*b + 2*b**3 - 36.
4*(b - 3)**2*(b - 1)
Suppose i + 94 = 1225. Suppose i - 1123 = 4*t. Factor 3/2*o**3 + 0 + 0*o - 21/2*o**t.
3*o**2*(o - 7)/2
Let c = 696/2387 - 2/341. Let q be (1118/104 + 33/(-3))*4/(-7). Solve 9/7*h**3 + q*h**5 + c*h - 5/7*h**4 - h**2 + 0 = 0.
0, 1, 2
Factor -662*o + 167*o**2 + 660 - 1/2*o**3.
-(o - 330)*(o - 2)**2/2
Let z(d) = 37*d**2 + 1441*d - 1558. Let v be z(-40). Let h be 27/(-2)*(-1)/6. Factor 3/2*u - 1/4*u**v - h.
-(u - 3)**2/4
Let z(k) be the third derivative of 1/150*k**5 - 1/1680*k**8 - 1/40*k**4 + 0*k - 1/15*k**3 + 0 + 0*k**7 + 1/150*k**6 - 61*k**2. Solve z(r) = 0.
-1, 1, 2
Let z(n) = -17*n**2 + 10*n + 191. Let p be z(-7). Let t = -710 - p. What is x in 3/4*x**t - 3/2*x + 3/4 = 0?
1
Let n(v) be the third derivative of v**5/300 - 557*v**4/30 + 620498*v**3/15 + 739*v**2. Find i, given that n(i) = 0.
1114
Let a(s) be the third derivative of -1/72*s**6 + 0*s - 1 - 1/18*s**4 + 13/180*s**5 - 6*s**2 - 2/9*s**3. Solve a(r) = 0 for r.
-2/5, 1, 2
Factor 0 + 14/5*b + 23/5*b**2 + 3/5*b**3.
b*(b + 7)*(3*b + 2)/5
Let t(i) be the second derivative of i**7/1260 + i**6/30 + 9*i**5/20 + 4*i**4/3 + 178*i. Let f(p) be the third derivative of t(p). Factor f(r).
2*(r + 3)*(r + 9)
Let l = 485 + -480. Suppose u = -3*b + 5, -8*u + 5*u - l*b + 15 = 0. Factor -1/2*c**4 - 6*c**2 - u*c - 3*c**3 - 3/2.
-(c + 1)**3*(c + 3)/2
Let f(a) be the second derivative of -a**8/11200 - a**7/600 - a**6/80 - 9*a**5/200 - 17*a**4/6 + 64*a. Let k(m) be the third derivative of f(m). Factor k(l).
-3*(l + 1)*(l + 3)**2/5
Suppose 3*r + 6977 = t, -5*r + 24*t - 23*t - 11627 = 0. Let f be (r/(-20) - 6)/((-10)/(-16)). Factor -8/5 + 168/5*w - f*w**2.
-2*(21*w - 2)**2/5
Let h(q) be the first derivative of 5*q**5/12 - 3*q**4/4 + q**3/9 + 111*q - 180. Let m(o) be the first derivative of h(o). What is g in m(g) = 0?
0, 2/25, 1
Let i(t) be the second derivative of t**4/36 + 842*t**3/9 + 354482*t**2/3 + 110*t + 1. Factor i(r).
(r + 842)**2/3
Let n(j) be the second derivative of -j**4/48 + 5*j**3/24 + 9*j**2/2 + 4*j + 262. Factor n(u).
-(u - 9)*(u + 4)/4
Let t(o) be the third derivative of -2*o**2 + 1/60*o**5 + 7/3*o**3 + 14 + 0*o + 3/8*o**4. Factor t(u).
(u + 2)*(u + 7)
Let l(x) be the first derivative of x**5/60 + 11*x**4/12 + 7*x**3/2 - 20*x**2 - 160. Let j(q) be the second derivative of l(q). Find o, given that j(o) = 0.
-21, -1
Let z be ((-1)/130*-16)/(4980/(-500) - -10). Solve -6/13*s**3 + 8/13*s**2 - 64/13 + z*s = 0 for s.
-8/3, 2
Let n(a) = 15*a**2 + 137*a + 687. Let i be (((-44)/(-3))/1)/((-36)/(-54)). Let o(z) = -4*z**2 - 35*z - 172. Let j(d) = i*o(d) + 6*n(d). Let j(b) = 0. What is b?
-13
Let w(q) be the third derivative of 0*q + 0*q**3 - 1/510*q**5 - 1/34*q**4 - 45*q**2 + 0. Let w(d) = 0. Calculate d.
-6, 0
Let v = 226 - 226. Suppose v = -25*c - 10*c. Determine b so that 0 + c*b - 6/5*b**2 + 3/5*b**3 = 0.
0, 2
Determine s, given that -122/3*s**2 + 36 + 20/3*s**3 - 2*s = 0.
-9/10, 1, 6
Let l(x) be the first derivative of -9*x**5/40 + 339*x**4/32 + 5*x**3 - 57*x**2/4 - 2525. Solve l(m) = 0 for m.
-1, 0, 2/3, 38
Let p be -8 - ((-9 - 10) + 1*9). Let i(k) be the first derivative of 4/3*k**3 - k**4 + 30 + 4*k**p + 0*k. Factor i(q).
-4*q*(q - 2)*(q + 1)
Let w = -43 - -52. Let o(j) = -j**2 + 12*j - 23. Let r be o(w). Find q such that r*q + 333 - 2*q - 333 - 2*q**2 = 0.
0, 1
Let i = -469867/2 - -234937. Let 0 - 1/2*u**5 - 3*u**2 + 0*u + i*u**3 + 0*u**4 = 0. Calculate u.
-3, 0, 1, 2
Suppose -212*y + 134*y + 440 = 128. Let u(z) be the second derivative of 0 + 0*z**3 + 0*z**2 - 2/9*z**y - 9*z - 2/5*z**5 - 1/5*z**6 - 2/63*z**7. Factor u(l).
-2*l**2*(l + 2)**2*(2*l + 1)/3
Let g(r) be the third derivative of 1/1260*r**7 + 0*r**6 - 1/60*r**5 + 104 - r**2 + 0*r - 1/12*r**3 - 1/18*r**4. Determine a so that g(a) = 0.
-1, 3
Suppose -5*f + 2 = 12. Let o(s) = s + 1. Let u(g) be the second derivative of g**4/3 - g**3/3 - 3*g**2 - 423*g. Let q(p) = f*o(p) - u(p). Solve q(b) = 0 for b.
-1, 1
Let x(y) be the third derivative of -y**7/70 + 11*y**6/40 - 3*y**5/4 - 67*y**4/8 - 20*y**3 - 328*y**2. Factor x(d).
-3*(d - 8)*(d - 5)*(d + 1)**2
Suppose 65 = 4*r + 5*x, -3*x - 25 = -6*r + 2*r. Suppose 17*h - r*h = 14. Determine y, given that -4*y**3 + 703*y**4 + 3*y - 705*y**4 + 2*y**h + y = 0.
-2, -1, 0, 1
Find i such that -738/7*i**2 + 1524/7*i + 111/7*i**3 + 3/7*i**4 - 1032/7 = 0.
-43, 2
Let 100/3*i**3 - 104/3*i - 50/3 + 4/3*i**5 + 58/3*i**4 - 8/3*i**2 = 0. Calculate i.
-25/2, -1, 1
Factor -g**2 - 1926 - 258*g + 3*g**2 - 211*g + 157*g + 14094.
2*(g - 78)**2
Let c(v) be the 