) = 0.
-8, -1, 0, 6/7, 1
Let c = 313/70 + -15/14. Let d(f) be the first derivative of 18 - c*f**5 - 5/4*f**4 + 10/3*f**6 + 0*f**2 + 2/3*f**3 + 0*f. Suppose d(t) = 0. Calculate t.
-2/5, 0, 1/4, 1
Suppose 4*r - 489 + 453 = 0. Suppose 3*k = r, 12*a - 3 = 14*a - 3*k. Factor 0*i + 2/5*i**a + 4/5*i**2 + 0.
2*i**2*(i + 2)/5
Let q(h) be the third derivative of 9*h**6/20 - 171*h**5/20 + 55*h**4/2 - 16*h**3 - 189*h**2 - 3. Let q(m) = 0. Calculate m.
1/6, 4/3, 8
Let h(n) be the third derivative of 0 + 4*n**2 - 1/40*n**7 + 23/160*n**6 - 1/4*n**5 + 0*n**3 + 7*n + 1/8*n**4. Determine a so that h(a) = 0.
0, 2/7, 1, 2
Let z(y) be the second derivative of -5*y**5/4 - 5215*y**4/12 + 1045*y**3/3 + 3*y - 213. Factor z(u).
-5*u*(u + 209)*(5*u - 2)
Let -8*d**2 - 6 + 2*d**2 - 5*d + 43*d - 35*d - 23*d = 0. What is d?
-3, -1/3
Let b be ((-486)/6318)/((-3)/117). What is g in 3*g**b - 13/3*g**2 + 16/3*g**5 + 40/3*g**4 + 2/3*g + 0 = 0?
-2, -1, 0, 1/4
Let u(t) be the first derivative of -5*t**4/4 + 15790*t**3 - 74797230*t**2 + 157473101560*t - 2090. Let u(m) = 0. Calculate m.
3158
Suppose 32*t + 50*t + 43*t + 117*t = 0. Let u = -47 - -237/5. Factor 8/5 - u*i**2 + t*i.
-2*(i - 2)*(i + 2)/5
Solve 45/4*q**3 - 111/2*q + 195/4*q**2 - 3/4*q**5 - 15/4*q**4 - 90 = 0.
-5, -4, -1, 2, 3
Let f(j) be the first derivative of -j**5/5 + j**4 - 5*j**3/3 + j**2 - 268. Factor f(c).
-c*(c - 2)*(c - 1)**2
Let s be (-1)/((-6)/4) - (4879/(-5453))/(24/76). Let -1/2*x**3 - 2*x**2 + 5 + s*x = 0. What is x?
-5, -1, 2
Let v be 8*66/440*(-25)/(-15). Find t, given that 8/11*t - 2/11*t**4 + 2/11*t**v + 0 - 8/11*t**3 = 0.
-4, -1, 0, 1
Let i(w) be the first derivative of -2*w**6/3 - 108*w**5/5 + 790*w**4 - 26200*w**3/3 + 45750*w**2 - 117500*w + 14181. Factor i(q).
-4*(q - 5)**4*(q + 47)
Let s(x) be the third derivative of -7/2*x**3 - 1/20*x**5 - 82*x**2 + x**4 + 0 + 0*x. Factor s(c).
-3*(c - 7)*(c - 1)
Let w(f) be the first derivative of -20/3*f**3 + f**5 + 20*f**2 + 9 + 0*f - 5/2*f**4. Suppose w(a) = 0. Calculate a.
-2, 0, 2
Suppose 0 = -19*r + 22*r - 12. Suppose -i - 5*x = -10, r*i - 55 = -0*x - 5*x. Factor -3 - 3 - 1 - 13 - i*d**2 + 65*d.
-5*(d - 4)*(3*d - 1)
Let r(o) = 7*o**2 - 180*o - 384. Let v be r(-2). Suppose 29/6*c**3 + 1/6*c**5 + 13/2*c**2 + 3*c + 0 + 3/2*c**v = 0. Calculate c.
-3, -2, -1, 0
Let d = -171 + 173. Solve 218*o**2 + 724*o**2 + 365 + 2970*o**d + 50*o**2 - 2288*o + 98*o**3 - 37 = 0.
-41, 2/7
Let s = 1328788 - 1328786. Factor 4/3 - 2/3*f**s - 2/3*f.
-2*(f - 1)*(f + 2)/3
Find h, given that -138 + 2/7*h**2 - 4/7*h = 0.
-21, 23
Factor -466 - 2*r**2 - 3*r**2 - 3*r**2 - 14*r**2 + 467*r + 21*r**2.
-(r - 466)*(r - 1)
Let n(p) = -40*p + 291. Let h be n(7). Let w be ((-144)/(-18) - -3)*2/h. Factor -d**3 + 4*d - 3/2*d**w - 2 + 1/2*d**4.
(d - 2)*(d - 1)**2*(d + 2)/2
Let w(c) = c**4 - 62*c**3 - 195*c**2 + 68*c + 197. Let f(b) = -3*b**4 + 61*b**3 + 195*b**2 - 69*b - 196. Let y(t) = -3*f(t) - 4*w(t). Let y(l) = 0. Calculate l.
-8, -5, -1, 1
Let k = 1298/12905 + -3/5162. Let y(p) be the second derivative of k*p**5 - 26*p - 1/4*p**2 + 1/3*p**3 - 1/60*p**6 - 1/4*p**4 + 0. Factor y(z).
-(z - 1)**4/2
Factor -2/7*s**2 + 0 - 84*s.
-2*s*(s + 294)/7
Determine c, given that 1/3*c**5 - 3410/3*c**4 - 147544108726432/3 + 1081701676880/3*c + 4651240/3*c**3 - 3172145680/3*c**2 = 0.
682
Let n = 42307 + -42303. Suppose 2*s**3 - s**n - 2*s**2 + s + 1/5*s**5 - 1/5 = 0. What is s?
1
Factor 1/3 - 25/9*k**2 + 14/9*k**3 + 8/9*k.
(k - 1)**2*(14*k + 3)/9
Let x(n) = n**3 - 15*n**2 - 86*n + 1403. Let c be x(14). Determine j, given that -2/3*j**2 + 2/3 + 7/3*j - 7/3*j**c = 0.
-1, -2/7, 1
Let p(r) be the second derivative of 5*r**4/12 - 1035*r**3 + 1928205*r**2/2 - 4641*r. Determine d, given that p(d) = 0.
621
Factor 121*n**3 - 31*n**3 - 17594*n**2 + 17675*n**2 - 24*n**4.
-3*n**2*(2*n - 9)*(4*n + 3)
Let v(h) be the first derivative of h**5/20 + 5*h**4/8 - h**3/12 - 5*h**2/4 - 7662. Suppose v(f) = 0. What is f?
-10, -1, 0, 1
Let b(m) = 11*m**3 + 733*m**2 - 1213*m + 204. Let v(r) = -28*r**2 - r. Let k(c) = -b(c) - 7*v(c). Factor k(n).
-(n - 2)*(n + 51)*(11*n - 2)
Factor -234/25*v + 2/25*v**3 + 118/25 + 114/25*v**2.
2*(v - 1)**2*(v + 59)/25
Suppose 0*h + 5*h = 4*h. Let c(v) be the second derivative of 3/20*v**5 + 0*v**4 - 3*v**2 - 3/2*v**3 + h - 18*v. Suppose c(a) = 0. Calculate a.
-1, 2
Suppose 11*f = 13*f - 8. Suppose -9*q + 12*q**2 - q - 4*q**5 - f*q**3 - 6*q**4 - 6*q**4 + 18*q = 0. Calculate q.
-2, -1, 0, 1
Factor 215/4*j**3 + 565*j - 5/4*j**4 - 585/2*j**2 - 370.
-5*(j - 37)*(j - 2)**3/4
Factor 11072*d**3 - 10772*d**3 - 939*d**2 - 320 - 1200*d + 20*d**4 - 26*d**2 - 40*d**4.
-5*(d - 8)**2*(2*d + 1)**2
Let b(t) = -9*t**3 + 89*t**2 - 420*t + 552. Let g(m) = -35*m**3 + 355*m**2 - 1680*m + 2205. Let o(p) = -15*b(p) + 4*g(p). Find z such that o(z) = 0.
2, 6, 9
Factor -53*j - 4*j**2 + 368*j + 361*j + 1368.
-4*(j - 171)*(j + 2)
Let c = -10322 + 113550/11. What is b in 10/11*b**3 - c*b + 2/11*b**4 + 8/11 - 10/11*b**2 - 2/11*b**5 = 0?
-2, -1, 1, 2
Let c(l) = l**2 - 8*l + 264. Let o(u) = -12*u + 261. Let b(m) = -3*c(m) + 4*o(m). Solve b(z) = 0 for z.
-14, 6
Let n(w) be the first derivative of -w**4/28 - 110*w**3/21 - 107*w**2/14 + 218*w/7 + 4306. Factor n(u).
-(u - 1)*(u + 2)*(u + 109)/7
Let k be (-48)/168*140/(-8). Let h be (3/(-105) - (-38)/399)*k. Factor -h*i**2 + 1/3*i**3 + 1/3*i**4 - 1/3*i + 0.
i*(i - 1)*(i + 1)**2/3
Let o be (-4)/(-2) + (4 - (-76)/2). Factor -2*w - 22*w**3 - 90 + o*w + 7*w**3 + 13*w**3 + 2*w**2.
-2*(w - 3)**2*(w + 5)
Suppose 596/5*t + 1824/5 - 4/5*t**2 = 0. What is t?
-3, 152
Let l be (47068/(-1568) - -30)*-16. Determine y so that -34/7*y - l*y**2 - 32/7 = 0.
-16, -1
Let k be 18/54 - (-50)/(-6). Let u be (k/28)/(58/(-1015)). Determine b, given that -51/2*b**3 - 9*b**2 + 0 + 20*b**4 - 7/2*b**u + 0*b = 0.
-2/7, 0, 3
Let o(x) be the first derivative of -148 - 2/9*x**3 - 38/3*x**2 - 722/3*x. Suppose o(h) = 0. What is h?
-19
Let l(u) be the first derivative of u**5/120 - u**4/48 + u**3/48 + 27*u**2 + 24. Let v(a) be the second derivative of l(a). Solve v(j) = 0.
1/2
Let d(l) be the first derivative of -1/90*l**5 - 34 + 0*l - 9*l**3 - 1/2*l**4 + 6*l**2. Let s(q) be the second derivative of d(q). Factor s(t).
-2*(t + 9)**2/3
Let -2/3*w**3 - 172/3*w**2 - 462*w + 0 = 0. Calculate w.
-77, -9, 0
Let p = -26/15279 - -45889/30558. Determine i so that 3/4*i**2 - 9/4*i + p = 0.
1, 2
Let o(r) be the second derivative of -r**4/96 - 37*r**3/24 + 231*r**2/16 - 1043*r + 3. Suppose o(y) = 0. Calculate y.
-77, 3
Suppose 0 = 11*k - 13 - 20. Factor -9*r + 5*r**k + 10*r**2 - 40 + 8*r - 19*r.
5*(r - 2)*(r + 2)**2
Let p(c) = 24*c**2 + 3840*c + 917764. Let y(s) = -19*s**2 - 3838*s - 917764. Let n(x) = -3*p(x) - 4*y(x). Solve n(d) = 0 for d.
-479
Let r(u) = 827*u + 57. Let q be r(10). Suppose 15 - 21*f - 6*f - 51*f**2 - q*f**3 + 8318*f**3 = 0. What is f?
-5, -1, 1/3
Suppose 688*f = -3*u + 655*f + 63, -5*u + 47 = -3*f. Find z such that -94/3*z**4 - 8/3*z**2 + 0 + 24*z**3 + 0*z + u*z**5 = 0.
0, 2/15, 1, 2
Find j such that -9/2 + 5*j**2 + 3/2*j - 5/3*j**3 + 1/6*j**5 - 1/2*j**4 = 0.
-3, -1, 1, 3
Let u(g) = 59*g - 94. Let r be u(2). Factor r + 30 - 4*n**2 + 30 + 4*n**3 - 84 - 8*n.
4*n*(n - 2)*(n + 1)
Let x(m) be the second derivative of -2*m**7/35 - 14*m**6/15 - 11*m**5/3 + 25*m**4/3 - 41*m**2/2 - 46*m. Let a(v) be the first derivative of x(v). Factor a(d).
-4*d*(d + 5)**2*(3*d - 2)
Suppose -4*u + 5*u - 519 = 5*q, 5*q + 1487 = 3*u. Let s(j) be the first derivative of 12 + u*j + 44*j**2 + 4/3*j**3. Find p such that s(p) = 0.
-11
Suppose 2*m - 3*u + 56 - 5 = 0, 3*m + 23*u - 446 = 0. Factor 459/5*a**2 - 3/5*a**m - 3465*a - 17787/5.
-3*(a - 77)**2*(a + 1)/5
Let w be (39906/(-25865) + 18/(-21))*((-10)/3 - 0). Find d, given that -118/3*d**3 + 94/3*d - 10*d**2 + w*d**4 + 10 = 0.
-3/4, -1/3, 1, 5
Determine a so that -1704/17*a + 346/17*a**4 - 90*a**3 + 2470/17*a**2 - 6/17*a**5 + 424/17 = 0.
2/3, 1, 2, 53
Let x = 148050 - 1628546/11. Factor 6/11*r**2 - 5/11 - 1/11*r**4 - 4/11*r + x*r**3.
-(r - 5)*(r - 1)*(r + 1)**2/11
Suppose -2*u + 3*s - 1470 = -198, -6 = 3*s. Let k = u + 642. Factor 0 - 1/5*n - 1/5*n**k + 2/5*n**2.
-n*(n - 1)**2/5
Factor 5880*a**2 + 88*a**4 + 8235*a + 2050 + 6560*a**2 + 8410*a**3 - 449290*a**5 + 2102*a**4 + 449325*a**5.
5*(a + 1)**4