/4389 + 1/4389. Find s such that 12/7 - 72/7*s + 87/7*s**2 - f*s**3 = 0.
2/9, 1, 2
Factor 4/11*g**2 - 30 + 214/11*g.
2*(g + 55)*(2*g - 3)/11
Let i = 743533/4 + -184359. Let d = i - 1524. Factor -1/4*f**2 + d + 0*f.
-(f - 1)*(f + 1)/4
Suppose 5*t = -4*m - 10, 0 = 3*t + 2*m - 4*m - 16. Suppose 3 = t*y - y. Solve 3*i**4 + i**5 + 12*i**2 + y*i**5 + i**4 - 20*i**3 = 0 for i.
-3, 0, 1
Let g(w) = -2*w + 4. Let h be g(2). Suppose p + 4 - 7 = h. Factor 47*y**3 - 28*y**4 + 4*y**5 - 100*y**2 + 64*y - 16 + 0*y**3 + 29*y**p.
4*(y - 2)**2*(y - 1)**3
Let a(v) be the second derivative of -19/12*v**4 + 174 - 56/9*v**3 - 19/120*v**5 - 32/3*v**2 - 1/180*v**6 - 2*v. Factor a(g).
-(g + 1)*(g + 2)*(g + 8)**2/6
Factor -113*y + 206*y - 125*y**2 - 959 - 1516 + 754*y + 148*y + 5*y**3.
5*(y - 11)*(y - 9)*(y - 5)
Let u = 114 + -224. Let t = u - -112. Suppose 16/3*w - 40/9*w**3 + 4*w**4 - 16/9 - 20/9*w**t - 8/9*w**5 = 0. What is w?
-1, 1/2, 1, 2
Let a = -1418181/13 - -109033. Let i = 58 + a. Factor 2/13*x - i*x**4 + 0 - 6/13*x**2 + 6/13*x**3.
-2*x*(x - 1)**3/13
Let m(q) be the first derivative of q**4/42 + 10*q**3/21 + 3*q**2 + 44*q - 82. Let i(w) be the first derivative of m(w). Find u such that i(u) = 0.
-7, -3
Let q(u) be the third derivative of 0 + 0*u - 46*u**2 + 1/210*u**5 - 1/14*u**4 + 0*u**3. What is h in q(h) = 0?
0, 6
Let w(d) be the first derivative of 5*d**6/6 - 7*d**5 - 5*d**4/4 + 35*d**3/3 + 1308. Solve w(k) = 0 for k.
-1, 0, 1, 7
Let x(d) be the third derivative of 1/2*d**5 + 1/40*d**6 - 23/8*d**4 + 0 - 82*d**2 + 6*d**3 + 0*d. Factor x(n).
3*(n - 1)**2*(n + 12)
Let p be 6*8/36*3/2. Let i(d) be the first derivative of 0*d - 1 + 3/4*d**p - 1/6*d**3. Let i(q) = 0. What is q?
0, 3
Solve 14*f - 28 - 3*f**3 + 4*f + 46*f - 43*f + 10 = 0.
-3, 1, 2
Let f(r) be the first derivative of -9/4*r**4 + 0*r**2 + 1/2*r**6 + 0*r - 18*r**3 + 61 + 12/5*r**5. Factor f(y).
3*y**2*(y - 2)*(y + 3)**2
Let p(q) be the second derivative of -5*q**4/12 + 115*q**3/3 - 2565*q**2/2 + 9803*q. Factor p(l).
-5*(l - 27)*(l - 19)
Let m(p) be the second derivative of p**7/14 - 7*p**6/5 + 111*p**5/20 + 12*p**4 - 90*p**3 + 1062*p + 1. Let m(o) = 0. What is o?
-2, 0, 3, 10
Let u(n) be the first derivative of 2*n**5/75 + 3*n**4/10 + 52*n**3/45 + 8*n**2/5 - 103. Factor u(c).
2*c*(c + 2)*(c + 3)*(c + 4)/15
Let g be (5/6)/((-7)/(-42)). Factor -6641*a**4 + 6653*a**4 - a**5 - 2*a**g + 15*a**3.
-3*a**3*(a - 5)*(a + 1)
Let u(c) be the first derivative of c**6/3 - 4*c**5/5 - 9*c**4/2 + 12*c**3 - 1239. Let u(i) = 0. Calculate i.
-3, 0, 2, 3
Suppose -4*v + 17 = -4*z + 5, -2*v - 2*z = -2. Suppose 4144*u**2 - 3*u + 11*u + 4*u**4 - 4158*u**v - u**5 + 3*u**3 = 0. Calculate u.
-2, 0, 1, 4
Let l be -1 + 2 + (4/(-2) - -3 - 0). Suppose -3*f = -2*s - 32, -56 = -3*f - f - 4*s. Factor 26*d**2 - f*d**l - 2 - 12*d**2.
2*(d - 1)*(d + 1)
Suppose 0 = 16*c - 60*c + 3300. Factor -58*w - 35*w - c - 212*w - 205*w - 867*w**2.
-3*(17*w + 5)**2
Suppose -2379*h - 22 = -2381*h - a, 0 = -23*h - a + 64. Factor -15 + 14*c - 1/4*c**3 - 11/4*c**h.
-(c - 2)**2*(c + 15)/4
Suppose w = 3*w - 206. Factor -2*r**2 + 108*r - 181 + w - 28*r.
-2*(r - 39)*(r - 1)
Let h(a) = -a**5 - 109*a**4 - 80*a**3 + 242*a**2 + 52*a - 26. Let f(x) = 12*x**4 + 9*x**3 - 27*x**2 - 6*x + 3. Let g(b) = -26*f(b) - 3*h(b). Factor g(l).
3*l**2*(l - 1)*(l + 2)*(l + 4)
Let n(a) be the first derivative of 4*a**5/5 + 157*a**4 + 620*a**3/3 - 314*a**2 - 624*a + 3362. Suppose n(i) = 0. Calculate i.
-156, -1, 1
Let r be (-2)/((-24)/(-22))*(-39 + 28220/748). Factor -4/3*h**4 + 4/3*h**3 + 2/3*h + 0 + r*h**2.
-h*(h - 2)*(2*h + 1)**2/3
Let h(m) = 2*m**3 + 62*m**2 - 66*m - 4. Let f be h(-32). Let i be (3*1/(-15))/((-9)/f). Factor -i*y**3 - 4/3 + 4/3*y**2 + 4/3*y.
-4*(y - 1)**2*(y + 1)/3
Determine n, given that -44/3*n + 0 + 2/3*n**4 + 70/3*n**2 - 28/3*n**3 = 0.
0, 1, 2, 11
Let o(h) be the second derivative of -5*h**4/12 + 140*h**3/3 + 290*h**2 - 1023*h - 7. Factor o(g).
-5*(g - 58)*(g + 2)
Suppose c + 5*j + 83 = 0, -15*c - j - 27 = -20*c. Factor -44/3*v + 8/3 + 20/3*v**c.
4*(v - 2)*(5*v - 1)/3
Let d(q) = 30*q + 150. Let k be d(-12). Let w be ((-40)/k)/(7/98). What is t in -40/3*t + 96*t**5 - 38*t**2 + 802/3*t**3 - 944/3*t**4 + w = 0?
-2/9, 1/4, 1, 2
Determine m so that -6549*m**2 - 32 - 6816*m**2 - 626 - 1318*m + 12703*m**2 - 2*m**3 = 0.
-329, -1
Find c such that -112/11*c - 416/11 - 2/11*c**2 = 0.
-52, -4
Factor -2/9*c**3 + 614/9*c + 304/9*c**2 + 308/9.
-2*(c - 154)*(c + 1)**2/9
Let y(w) be the first derivative of -w**4/14 - 108*w**3/7 - 1004. Determine t so that y(t) = 0.
-162, 0
Let v(w) be the second derivative of -3*w**5/20 - 33*w**4/4 - 60*w**3 - 174*w**2 - 4*w - 811. Let v(a) = 0. Calculate a.
-29, -2
Let c(z) = -57*z**3 + 447*z**2 - 2520*z + 4518. Let i(f) = 11*f**3 - 89*f**2 + 504*f - 904. Let u(v) = -4*c(v) - 21*i(v). Solve u(r) = 0.
4, 19
Factor -20*f**4 + 56*f**3 + 56*f**4 - 22*f**3 - 130*f**2 + 86*f - 18*f**4 - 8.
2*(f - 1)**2*(f + 4)*(9*f - 1)
Let x(g) = 2*g**4 + 3*g**3 - 5*g + 3. Let q(p) = -12*p - p**2 + p + 8 - 6*p + 4*p + 5*p**4 + 7*p**3 + 2*p**3. Let h(o) = 3*q(o) - 8*x(o). Factor h(m).
-m*(m - 1)**3
Let s be (24/3 - 141/18)*(-2)/(-6). Let q(k) be the first derivative of 0*k**2 + 1/54*k**6 + 0*k + 0*k**3 + 5 + s*k**4 + 1/15*k**5. Let q(d) = 0. What is d?
-2, -1, 0
Let s(f) be the first derivative of f**4/2 + 572*f**3/3 + 20449*f**2 - 940. Factor s(a).
2*a*(a + 143)**2
Let w(a) be the first derivative of 242 - 102/7*a + 1/7*a**3 + 99/14*a**2. Factor w(m).
3*(m - 1)*(m + 34)/7
Let b(u) = 10*u + 20. Let i be b(-2). Suppose 22*t = -i*t + 44. Factor -9/7*l**3 - 3/7*l**4 + 0*l + 0 - 6/7*l**t.
-3*l**2*(l + 1)*(l + 2)/7
Let r(w) = -365*w**2 + 1465*w - 18. Let f be r(4). Suppose 0 - 11/5*m**f - 1/5*m**4 - 7/5*m**3 - m = 0. What is m?
-5, -1, 0
Determine y so that -881721/5 - 1/5*y**2 - 1878/5*y = 0.
-939
Let p(t) = -t**4 + t**2 + t. Let i = 215 - 219. Let v(c) = c**5 + 15*c**4 + 46*c**3 + 57*c**2 + 22*c. Let n(o) = i*v(o) - 12*p(o). Factor n(w).
-4*w*(w + 1)**2*(w + 5)**2
Let m(x) be the third derivative of x**6/1320 + 4*x**5/165 - 19*x**4/66 + 40*x**3/33 + 46*x**2 - 44. Factor m(l).
(l - 2)**2*(l + 20)/11
Factor 59*h**2 + 2*h**3 - 182*h - 107*h**2 + 271*h + 223*h - 448.
2*(h - 14)*(h - 8)*(h - 2)
Let s(y) = 9*y**2 - 3. Let t be s(-3). Let r = -45 + t. Solve 118*v + 288 - r*v - 37*v + 2*v**2 = 0.
-12
Let g be (6/(-1))/(-4 + 2)*33. Let o be 378/g + -4 - (-6)/33. Determine c so that -5*c**2 + o*c + 5/2*c**3 + 0 = 0.
0, 2
Let z(j) be the first derivative of j**4/48 + 13*j**3/24 - 107*j + 137. Let m(r) be the first derivative of z(r). Factor m(q).
q*(q + 13)/4
Let u(l) be the third derivative of -1/2*l**3 + 0 - 1/210*l**7 + 1/20*l**6 - 48*l**2 - 1/5*l**5 + 0*l + 5/12*l**4. Factor u(n).
-(n - 3)*(n - 1)**3
Let q(u) be the first derivative of 0*u - 1/5*u**3 + 152 + 15/2*u**2. Factor q(h).
-3*h*(h - 25)/5
Suppose 4*f = 3*n + 13, -6*f + 4*f = -8. Suppose -4 = -4*v, -5*v + 2 = -2*d + n. Factor 54/7 + 2/21*a**d - 12/7*a.
2*(a - 9)**2/21
Let w = 121 - 86. Suppose 21*l + 2*l**2 + w + l**2 + 26 + 29 - 6*l**2 = 0. What is l?
-3, 10
Let z(i) be the third derivative of -i**6/1620 + i**5/180 + i**4/27 - 16*i**3/3 - i**2 + 7. Let r(t) be the first derivative of z(t). Let r(v) = 0. What is v?
-1, 4
Let o(i) = 38*i**2 + 112*i + 137. Let g(b) = 13*b**2 + 37*b + 46. Let r(k) = -17*g(k) + 6*o(k). Suppose r(z) = 0. Calculate z.
-5, -8/7
Let g(z) be the third derivative of 0 + 0*z**3 + 1/42*z**4 - 1/15*z**5 + 7/120*z**6 + 83*z**2 + 0*z. Solve g(a) = 0 for a.
0, 2/7
Let v(i) be the first derivative of 1 - 11/48*i**4 - 1/20*i**5 + 5*i + 0*i**2 + 1/8*i**3. Let n(a) be the first derivative of v(a). Factor n(l).
-l*(l + 3)*(4*l - 1)/4
Suppose 18*v + 27 - 81 = 0. Determine d so that 166*d**v - 74*d**5 + 10*d - 357*d**2 + 92*d + 528*d**4 + 86*d**3 - 118*d**5 - 9 = 0.
-1, 1/4, 3
Let l(o) be the second derivative of 197/3*o**4 + 32*o**3 + 8*o**2 + 271/5*o**5 + 6*o - 16*o**6 - 800/21*o**7 - 5. Suppose l(k) = 0. Calculate k.
-2/5, -1/4, 1
Suppose 960*t + 5*j = 961*t + 22, -8 = 4*t - 4*j. Let s(p) be the first derivative of 0*p**2 + 0*p**4 + 3/25*p**5 + 3/5*p - 2/5*p**t - 9. Solve s(b) = 0.
-1, 1
Let l(p) = -9*p + 105. Let n be l(-14). Solve n - 205 + 11*s - 2*s**2 + 13*s = 0 for s.
-1, 13
Suppose -38 = -3