 66*x + 3/2*x**4 - 9/2*x**3 + 1/40*x**6. Factor l(c).
3*c*(c - 1)*(c + 6)**2/4
Let y be (-10)/(-8) - 42/72 - 24/(-24). Factor 80/3 + y*m**3 + 130/3*m + 55/3*m**2.
5*(m + 1)*(m + 2)*(m + 8)/3
Let o(v) = v**3 - v**2 - 7*v + 2. Let l be o(12). Let j = l + -7509/5. Factor -64/5 + 16/5*h - j*h**2.
-(h - 8)**2/5
Let h(s) be the second derivative of 0 - 50/3*s**3 + 1/6*s**4 + 625*s**2 + 79*s. Solve h(k) = 0 for k.
25
Let u = 2/80271 + 44593/80271. Factor -8/9 - 17/9*l**2 + 1/9*l**5 + 1/9*l**3 - 22/9*l + u*l**4.
(l - 2)*(l + 1)**3*(l + 4)/9
Factor 6*w**3 + 48*w + 0 - 332/3*w**2.
2*w*(w - 18)*(9*w - 4)/3
Let y(w) be the third derivative of -w**6/600 + w**5/25 - 11*w**4/30 + 8*w**3/5 - 750*w**2. Solve y(a) = 0.
2, 4, 6
Factor -26041*u**3 + 25808*u**2 - 81389*u**2 - 131027*u**2 - 366368*u + 24321*u**3 - 4*u**4.
-4*u*(u + 2)*(u + 214)**2
Let i(o) = -26*o + 56. Let x be i(-4). Factor 5*m**4 + 319*m**5 - 164*m**5 - x*m**5.
-5*m**4*(m - 1)
Let f(p) be the third derivative of p**7/84 + 13*p**6/144 + 7*p**5/24 - p**4/24 - 9*p**3/2 - 85*p**2. Let s(u) be the second derivative of f(u). Factor s(v).
5*(v + 1)*(6*v + 7)
Let s be -5 + 1 - ((18 - 13) + -12). Factor 35 - u**2 - s - 3*u + 4*u + 2*u + 8.
-(u - 8)*(u + 5)
Determine b so that 74/3*b + 38/3 + 29/2*b**2 + 7/3*b**3 - 1/6*b**4 = 0.
-2, -1, 19
Let c(q) = q**2 - 10*q - 99. Let a be c(-7). Suppose 4*u = 3*o + a, -4*o + 3*u - 8*u + 25 = 0. Factor -1/3*p + o - 3*p**3 - 2/3*p**5 - 5/3*p**2 - 7/3*p**4.
-p*(p + 1)**3*(2*p + 1)/3
Let -95/2*r**3 + 90 + 530/3*r + 365/6*r**2 - 125/6*r**4 + 5/6*r**5 = 0. What is r?
-2, -1, 2, 27
Suppose -2*m + 12 = 2*w, -2*m - 13 = w - 22. Let a(r) be the first derivative of 2*r**m + r**2 - 4*r + 2 - 2/5*r**5 - 1/2*r**4. Let a(p) = 0. Calculate p.
-2, -1, 1
Let u(z) be the third derivative of z**6/600 - z**5/200 + 3*z**3 + 2*z**2 + 8. Let s(q) be the first derivative of u(q). Factor s(k).
3*k*(k - 1)/5
Let j(i) = 2*i**2 - 132*i - 2316. Let x be (-2)/21 + (-1804)/462. Let a(m) = -m**2 + 133*m + 2315. Let d(t) = x*a(t) - 3*j(t). Factor d(w).
-2*(w + 34)**2
Let h(f) be the third derivative of -f**8/2352 - f**7/735 + f**6/140 + 2*f**5/105 - 5*f**4/168 - f**3/7 + 2*f**2 + 406. Find g such that h(g) = 0.
-3, -1, 1, 2
Let p = 740321/80 - 9254. Let z(k) be the third derivative of -7/8*k**3 + 0 + 0*k + p*k**5 - 7*k**2 + 3/16*k**4. Factor z(v).
3*(v - 1)*(v + 7)/4
Let l(r) be the second derivative of 4 + 1/30*r**5 + 7/18*r**4 + 5/3*r**2 + 11/9*r**3 + 4*r. Find q such that l(q) = 0.
-5, -1
Find h such that 113 - 844 + 270 - 755 - 4*h**2 + 184*h = 0.
8, 38
Let k(q) be the third derivative of q**7/105 - q**6/6 + 7*q**5/10 - 45*q**2 + 7*q + 1. Factor k(d).
2*d**2*(d - 7)*(d - 3)
Let n(f) be the first derivative of f**6/90 - f**5/30 - f**4 - 2*f**3/3 + 18*f**2 + 57. Let o(c) be the third derivative of n(c). Factor o(b).
4*(b - 3)*(b + 2)
Let b be (-24*2*7/(-70))/(56/20). Let h = 3 + -3. Factor -b*x**4 - 4/7*x**2 - 12/7*x**3 + h + 0*x - 4/7*x**5.
-4*x**2*(x + 1)**3/7
Let b(v) = -2*v + 17. Let j be b(7). Let z = 80870/3 + -26952. Factor 2*p**j + 0 + z*p**2 + 4/3*p.
2*p*(p + 2)*(3*p + 1)/3
Find x such that 2025 + 3915/2*x - 207/2*x**2 - 3/2*x**4 - 75/2*x**3 = 0.
-15, -1, 6
Let q(u) be the third derivative of 5*u**6/48 + 7*u**5/12 + 49*u**4/48 - 8*u**2 - 25. Factor q(k).
k*(5*k + 7)**2/2
Let o(z) = 2*z**4 - z**3 + z**2 + z + 1. Let f(b) = -2503*b - 12*b**4 - 23 + 3*b**2 + 25*b**3 + 4*b**2 + 2478*b. Let i(x) = 2*f(x) + 14*o(x). Factor i(v).
4*(v - 1)*(v + 1)**2*(v + 8)
Suppose -21 + 98 = c. Let d = 81 - c. Factor -3*v**2 + 5*v**d - 13*v - 20*v**2 + 8*v**2 + 3*v.
5*v*(v - 2)*(v + 1)**2
Let u(q) = 10*q - 53. Let a(w) = -5*w + 28. Let l(s) = 7*a(s) + 3*u(s). Let p be l(7). Determine h so that 2*h**4 + 3/4*h**p - h + 7/2*h**3 - 1/4 = 0.
-1, -1/4, 1/2
Let i = 43179 - 345431/8. Let o(n) be the first derivative of 0*n - i*n**2 - 1/3*n**3 - 1/10*n**5 + 48 - 5/16*n**4. Factor o(m).
-m*(m + 1)**2*(2*m + 1)/4
Let x(h) be the third derivative of h**6/720 + 13*h**5/360 + 23*h**4/144 + 11*h**3/36 - 8465*h**2. What is y in x(y) = 0?
-11, -1
Let c be 2/(4*(-4)/3520). Let f = 440 + c. Factor -5/2*k - 160*k**4 - 30*k**2 - 120*k**3 + f.
-5*k*(4*k + 1)**3/2
Let o(p) = 10*p**3 - 2448*p**2 + 2471*p. Let x(g) = 4*g**3 - 816*g**2 + 824*g. Let z(j) = 4*o(j) - 11*x(j). Find c such that z(c) = 0.
-205, 0, 1
What is g in 16*g - 770/9*g**2 + 8/9 + 296/3*g**3 - 30*g**4 = 0?
-2/45, 1/3, 1, 2
Let d(t) be the first derivative of -3*t**4/16 - 3*t**3/4 + 3*t**2/2 + 9*t - 1008. Solve d(m) = 0.
-3, -2, 2
Let i = -28859/2 + 14436. Factor -3 + i*s + 5/2*s**2.
(s + 3)*(5*s - 2)/2
Find q, given that 154*q**2 + 154*q**2 - 68*q**2 - 78*q**2 - 190*q**3 + 178*q**2 + 90 - 285*q - 5*q**5 + 50*q**4 = 0.
1, 2, 3
Let k = 1042 + -1042. Let z(b) be the first derivative of -21 + 3/4*b**4 + 0*b - b**3 + k*b**2. Factor z(y).
3*y**2*(y - 1)
Factor 101/3*y + 1/6*y**2 + 10201/6.
(y + 101)**2/6
Let y be (-2)/(-3)*1*(2 + (-75)/(-30)). Factor 4/5 + h**2 + 16/5*h - 7/5*h**y.
-(h - 2)*(h + 1)*(7*h + 2)/5
Suppose 3*i = 15, 3*b = -50*i + 49*i + 1805. Factor 6*m + 38*m**5 - 40*m**5 + 12*m**3 + 584*m**2 - b*m**2.
-2*m*(m - 1)**3*(m + 3)
Let b(u) = -111*u**2 + 18*u + 6. Let j(g) = g**3 - 9*g**2 - 2*g + 1. Let c(h) = b(h) - 6*j(h). Suppose c(y) = 0. What is y?
-10, 0, 1/2
Let c(d) be the third derivative of d**7/70 + 49*d**6/20 + 3601*d**5/20 + 7350*d**4 + 180000*d**3 - 106*d**2 + d + 6. Find p such that c(p) = 0.
-25, -24
Let x(a) = 2*a**2 + 44*a + 2. Let l be x(-22). Let d be (-160)/(-72)*(13/5 - l). Suppose 10/3*h - 2*h**2 - d = 0. Calculate h.
2/3, 1
Let y be (-34)/204*18*-1. Let -30 - 5*q**y - 5/2*q**4 + 35/2*q**2 + 20*q = 0. Calculate q.
-3, -2, 1, 2
Let i(t) be the third derivative of 2*t**7/105 - 191*t**6/210 + 242*t**5/35 - 418*t**4/21 + 368*t**3/21 + 56*t**2 + 2*t - 1. Suppose i(w) = 0. Calculate w.
2/7, 2, 23
Let g = -263 - -259. Let h(x) = -11*x**2 - 36*x + 32. Let q be h(g). Determine f, given that -5/6*f**3 + 35/6*f + q*f**2 + 5 = 0.
-2, -1, 3
Let q(v) be the third derivative of -v**6/24 - 175*v**5/12 + 1795*v**4/8 - 2715*v**3/2 + 1147*v**2. Factor q(b).
-5*(b - 3)**2*(b + 181)
Let i be (40/(-14))/((-70)/(-12)*182/(-1274)). Let -2/7*n**4 + 12/7*n**3 - 8/7*n + i - 18/7*n**2 = 0. Calculate n.
-1, 2, 3
Let s(g) be the second derivative of -1/60*g**4 + 0 - 4*g + 0*g**2 - 1/6*g**3. Find m, given that s(m) = 0.
-5, 0
Let o(j) be the first derivative of -243*j**2 - 2916*j - 25/2*j**4 + 2/5*j**5 + 126*j**3 + 199. Solve o(m) = 0.
-2, 9
Let d(k) be the second derivative of -132*k + 0 + 1472/7*k**3 + 1/35*k**5 + 95/21*k**4 - 4608/7*k**2. Factor d(v).
4*(v - 1)*(v + 48)**2/7
Let u(a) = -a**3 - 5*a**2 - 7*a - 8. Let x be u(-4). Suppose 3*t + 20 = -x*c, -c + 10 = -t - 3*c. What is r in 0*r - 2/9*r**3 + 0*r**2 + t = 0?
0
Let q(y) = -y**3 + 31*y**2 + y - 29. Let n be q(31). Let 16*a**3 + 148*a + 11 + 25 + 75*a**n + 85*a**2 = 0. What is a?
-9, -1/2
Let j(f) be the first derivative of 2*f**4/3 - 35*f**3/6 + 6*f**2 + 79*f + 138. Let a(v) be the first derivative of j(v). Factor a(h).
(h - 4)*(8*h - 3)
Suppose 0*h**2 - 5*h**2 + 12*h**2 + 9062 + 159*h - 8772 = 0. What is h?
-145/7, -2
Let n(h) be the third derivative of -h**7/140 + 3*h**6/40 + 21*h**5/5 + 50*h**4 + 288*h**3 + 3*h**2 + 48. Solve n(c) = 0.
-4, 18
Suppose -5*d - 435 = 5*v, -5*v + 2*d + 177 = 633. Let g be ((-4)/v)/(19/228). Suppose 8/15*y + g + 2/15*y**2 = 0. What is y?
-2
Suppose -8*m + 646 = -1258. Let r = -1663/7 + m. Factor 6/7*o + 0 + r*o**2.
3*o*(o + 2)/7
Let j be ((-820)/(-15))/(0 + 6/45). Let h = 621 - j. Factor -5*r**2 + r**2 - 123 + 72*r + 10 - h.
-4*(r - 9)**2
Let s = -5459 - -5461. Let u(o) be the first derivative of 1/7*o**s + 2/21*o**3 - 4/7*o - 3. What is v in u(v) = 0?
-2, 1
Let t(c) be the second derivative of c**5/10 + 2963*c**4/6 + 731120*c**3 - 2196324*c**2 + 16*c + 166. Factor t(l).
2*(l - 1)*(l + 1482)**2
Let k = -237758/5 - -47556. Factor -24/5*s + 2/5*s**5 - k*s**2 - 2/5*s**3 + 6/5*s**4 - 8/5.
2*(s - 2)*(s + 1)**3*(s + 2)/5
Let t(b) be the third derivative of -b**8/336 + b**7/42 + b**6/20 - 19*b**5/30 + 43*b**4/24 - 5*b**3/2 - 3*b**2 + 2*b + 301. Factor t(h).
-(h - 5)*(h - 1)**3*(h + 3)
Let t = -22 + 16. Let u be 3 + (2 - 5)/t*0. Determine f, given that -u*f - 3 - 3*f**2 - 6*f + 15*f**2 = 0