-5*o*(o - 1)*(227*o - 2)
Let s(v) = -v**3 - 42 + 5*v**2 + 2*v**3 - 38 + 87. Let g(f) = f**3 + 4*f**2 + 6. Let i = -6 + 13. Let n(y) = i*g(y) - 6*s(y). Factor n(z).
z**2*(z - 2)
Let o = -23112 - -23117. Let j(l) be the third derivative of -1/40*l**o + 0 + 31*l**2 + 0*l + 3/2*l**4 - 36*l**3. Factor j(r).
-3*(r - 12)**2/2
Let r(w) be the second derivative of -w**6/75 + 2*w**5/25 + 19*w**4/30 + 14*w**3/15 + 3053*w. Factor r(m).
-2*m*(m - 7)*(m + 1)*(m + 2)/5
Let u(y) be the third derivative of -y**7/315 + 3*y**6/20 - 28*y**5/15 + 76*y**4/9 + 1105*y**2. Factor u(z).
-2*z*(z - 19)*(z - 4)**2/3
Let l(k) be the first derivative of k**3/12 + 649*k**2/4 + 421201*k/4 + 445. Find p such that l(p) = 0.
-649
Let w(x) be the second derivative of x**7/42 + 4*x**6/15 + 9*x**5/20 - 13*x**4/6 - 26*x**3/3 - 12*x**2 - 4*x - 591. What is c in w(c) = 0?
-6, -2, -1, 2
Let b = -12/1429 - -39279/82882. Let u = 337/522 + b. Determine h, given that 2/9*h**4 + 4/9*h + 2/3*h**5 - 2/9*h**2 + 0 - u*h**3 = 0.
-1, 0, 2/3, 1
Let n(v) be the second derivative of 5/6*v**3 + 0 - 1/30*v**6 + v**2 - 1/20*v**5 + 1/4*v**4 - 56*v. Solve n(r) = 0 for r.
-1, 2
Suppose 7*y - 24 = -3. Suppose -m - d = -0*m - 6, 22 = y*m + 4*d. Find u, given that 18*u**4 - 34*u**4 + 5*u**3 - u**5 + 5*u**m + 15*u**4 - 4*u - 4 = 0.
-2, -1, 1, 2
Let l(f) be the second derivative of -3/8*f**3 + 1/10*f**6 - 5/24*f**4 - 1/4*f**2 + 1/20*f**5 - 26*f + 5/168*f**7 + 0. Factor l(z).
(z - 1)*(z + 1)**3*(5*z + 2)/4
Let c(l) be the third derivative of 1/480*l**6 - 2 - 1/32*l**4 - 1/120*l**5 + 0*l - 10*l**2 + 0*l**3. Factor c(r).
r*(r - 3)*(r + 1)/4
Let n(k) be the third derivative of 0*k**4 - 2*k**2 - 1/840*k**7 + 0 - 1/96*k**6 - 3*k + 0*k**3 + 1/40*k**5. Factor n(w).
-w**2*(w - 1)*(w + 6)/4
Let z(f) be the second derivative of f**9/1890 + f**8/1680 - f**7/35 - f**6/20 + 23*f**4/2 + 89*f. Let g(x) be the third derivative of z(x). Factor g(i).
4*i*(i - 3)*(i + 3)*(2*i + 1)
Solve 2720656 + 1160*p - 5*p**2 - 2720656 = 0 for p.
0, 232
Let x = -33 + 113. Let d be (-1055)/(-100) - (-20)/x. Factor -243/5 - d*q - 3/5*q**2.
-3*(q + 9)**2/5
Let k(l) be the first derivative of 4/3*l - 2/27*l**3 - 108 - 1/9*l**2. Factor k(g).
-2*(g - 2)*(g + 3)/9
Let o(r) = -2*r**2 + 91*r - 303. Let c(s) = 5*s**2 - 180*s + 605. Let u(f) = -3*c(f) - 5*o(f). Factor u(h).
-5*(h - 12)*(h - 5)
Let k(u) be the second derivative of -94*u - 79/10*u**6 + 123/28*u**7 + 0*u**2 + 0*u**3 + 7/2*u**5 + 0 + 1/3*u**4. Factor k(o).
o**2*(3*o - 2)**2*(41*o + 2)/2
Factor -13719*c + 13524*c + 24*c**2 - 92 + 263.
3*(c - 1)*(8*c - 57)
Let m(q) be the first derivative of -2*q**3/15 - 113*q**2/5 + 92*q + 1649. Factor m(s).
-2*(s - 2)*(s + 115)/5
Let c(w) be the first derivative of 72*w**2 - 11 + 3/16*w**4 - 384*w - 6*w**3. Factor c(j).
3*(j - 8)**3/4
Let c(m) be the second derivative of -5*m**5/21 - 31*m**4/42 - 4*m**3/7 + 29*m**2/2 + 21*m. Let n(z) be the first derivative of c(z). Factor n(y).
-4*(y + 1)*(25*y + 6)/7
Let g(h) = -116*h - 1504. Let k be g(-13). Let n(t) be the first derivative of 4/7*t - 1/3*t**3 + 0*t**2 - 19 + 3/28*t**k. Factor n(w).
(w - 2)*(w - 1)*(3*w + 2)/7
Let k be (-3)/(-4)*12 - 5. Solve -25*g**2 + 35*g**2 + 4*g - 10*g**k + 2*g**5 + 4*g**5 - 10*g**3 = 0.
-1, -1/3, 0, 1, 2
Let d(a) be the third derivative of -a**6/540 - a**5/10 + 22*a**4/9 - 560*a**3/27 + 1179*a**2. Let d(u) = 0. What is u?
-35, 4
Let c(t) be the first derivative of t**5/15 - 5*t**4/12 - 17*t**3/9 + 7*t**2/2 + 3320. Solve c(i) = 0.
-3, 0, 1, 7
Let t(y) = -3*y**2 - y + 1. Let f(h) = -16*h**2 + 8*h - 17. Let z(q) = -q + 6. Let v be z(11). Let l(c) = v*t(c) + f(c). Factor l(n).
-(n - 11)*(n - 2)
Let y(l) = -10*l**2 + 28*l - 30. Let g(u) = 10*u + 81. Let i be g(-8). Let k(n) = n**2 - n + 1. Let p(c) = i*y(c) + 12*k(c). Determine w, given that p(w) = 0.
-9, 1
Let v = -106991 - -962939/9. What is q in v*q + 8/3*q**2 + 0 + 4/9*q**3 = 0?
-5, -1, 0
Let u = 269/2475 - -2/825. Let b(x) = x**3 + 12*x**2 + 19*x - 10. Let g be b(-10). Determine w so that 0*w + g - u*w**2 = 0.
0
Suppose 34*j - 2 - 66 = 0. Suppose 15*i = 11*i - 4*m, 0 = -j*i + m. Factor -2/7*x**2 + 8/7 + i*x.
-2*(x - 2)*(x + 2)/7
Let j = -9/10441 - -20981/114851. Find g, given that 0 + 2/11*g**3 + 0*g**2 + j*g**4 + 0*g = 0.
-1, 0
Find v such that 3*v**4 + 2*v**3 - 9*v**2 + 4*v**3 - 35879 + 35879 = 0.
-3, 0, 1
Factor 109326*f**2 + 713577*f**4 - 1612*f + 7013 - 2564905*f**3 + 3991697*f**4 - 7005.
(2*f - 1)*(133*f - 2)**3
Let c(j) be the third derivative of j**6/150 - 74*j**5/75 + 46*j**4/3 + 25392*j**3/5 - j**2 - 3136*j. Factor c(a).
4*(a - 46)**2*(a + 18)/5
Let x be (46/69)/((-2)/(-111)). Let a = -34 + x. Factor -32*v**4 - a*v - 16*v**3 + 0*v - 2*v**2 + 3*v.
-2*v**2*(4*v + 1)**2
Let k(n) be the first derivative of 0*n - 92 + 1/2*n**4 + 2*n**3 - 4*n**2. What is m in k(m) = 0?
-4, 0, 1
Let 90*h**3 - 3*h**2 + 0 - 120*h - 111/4*h**4 - 3/4*h**5 = 0. Calculate h.
-40, -1, 0, 2
Let f(z) be the second derivative of -z**5/20 - 43*z**4/24 + 11*z**3/6 + 5911*z. Determine t so that f(t) = 0.
-22, 0, 1/2
Let k be (8550/(-1295))/(704/(-56)). Let h = k + 3/148. Determine z, given that -2/11*z**3 + 2/11 - 6/11*z + h*z**2 = 0.
1
Let m(p) be the second derivative of 900*p**2 - 268/3*p**4 - 1310*p**3 + 0 - 9/5*p**5 - 184*p. Factor m(q).
-4*(q + 15)**2*(9*q - 2)
Let s be 16/684*(2 + 74). Factor 101306/9*p**3 - s - 5476/3*p**2 + 296/3*p.
2*(37*p - 2)**3/9
Let y(o) = o**4 + o + 7. Let m(c) = 35*c**4 - 1430*c**3 - 103665*c**2 - 203020*c - 100540. Let f(b) = m(b) - 40*y(b). Factor f(v).
-5*(v + 1)**2*(v + 142)**2
Let v(o) be the first derivative of -o**4/18 + 8*o**3/9 + 3*o**2 + 48*o + 70. Let h(b) be the first derivative of v(b). Suppose h(u) = 0. What is u?
-1, 9
Let j(w) = w**3 - 1. Suppose -t + 3*t = 2. Let m(r) = 40 - 9*r**2 + 7*r + 50*r**4 - 51*r**4 - 37. Let s(d) = t*m(d) + 5*j(d). Factor s(n).
-(n - 2)*(n - 1)**3
Let f(x) be the third derivative of -67*x**5/20 - 139*x**4/8 - 5*x**3 - 3736*x**2. What is v in f(v) = 0?
-2, -5/67
Let c = 182604 + -913017/5. Solve -768/5 - c*m**2 - 96/5*m = 0 for m.
-16
Suppose 0*j = -17*j + 255. Suppose -w - 3*x - 15 = 0, 12*x = 2*w + 9*x - j. What is t in 0 + w*t + 2/9*t**4 - 2/9*t**5 + 0*t**3 + 0*t**2 = 0?
0, 1
Let y = 39250/3 - 13080. Let u(o) be the first derivative of 2/45*o**3 - 34 + y*o - 2/3*o**2. Find s such that u(s) = 0.
5
Suppose 1/3*l**2 - 23/3*l + 76/3 = 0. Calculate l.
4, 19
Let h(i) be the first derivative of -i**3/6 + 43*i**2/2 + 87*i/2 + 175. What is j in h(j) = 0?
-1, 87
Suppose -120 = -23*u + 984. Solve -10*x**2 - 25 - 45*x + u + 2 = 0.
-5, 1/2
Suppose 40*c + 5*c**3 + 13*c**2 + 48 + 53*c - 51*c - 4*c**3 + 4*c = 0. What is c?
-8, -3, -2
Let y(m) = m**3 + 6*m**2 + 4*m - 3. Let a be y(-5). Factor 2*l**2 + 91*l + a*l**2 + 88*l - 203*l - 28.
4*(l - 7)*(l + 1)
Let f(m) be the third derivative of -m**6/180 - 2*m**5/15 - 7*m**4/12 + 98*m**3/9 - 448*m**2. Determine o so that f(o) = 0.
-7, 2
Let y(p) be the second derivative of 1/80*p**5 + 1/12*p**3 + 5/48*p**4 - 1 + 51*p - p**2. Factor y(w).
(w - 1)*(w + 2)*(w + 4)/4
Factor -2245*i - i**2 - 3048 + i**2 + 810*i - 1616*i - 3*i**2.
-3*(i + 1)*(i + 1016)
Let i(a) be the first derivative of a**6/42 + a**5/5 - 17*a**4/28 + 3*a**3/7 + 2772. Factor i(x).
x**2*(x - 1)**2*(x + 9)/7
Suppose -464 + 467 = c. Let w be 0/(168/(-96) + c/4). Factor 0*u + 0*u**2 + 0 + u**4 + w*u**3 + 5/2*u**5.
u**4*(5*u + 2)/2
Let b(g) be the first derivative of -g**6/9 + 8*g**5/15 + 8*g**4/3 - 44*g**3/9 - 5*g**2 + 12*g + 2911. Suppose b(l) = 0. What is l?
-3, -1, 1, 6
Let b = 22 + -12. Let h = b + -8. Factor 3*s**3 + 6*s**h + 3*s**3 - 4*s**3.
2*s**2*(s + 3)
Let f(j) be the first derivative of 310 - 28*j - 2/3*j**3 - 9*j**2. Factor f(o).
-2*(o + 2)*(o + 7)
Let j be (-2)/(-1) - -2 - (-1 + 5). Let u(t) be the second derivative of 1/3*t**3 + j - 17*t + 0*t**2 + 1/6*t**4. Determine z so that u(z) = 0.
-1, 0
Find y, given that 81/5 + 65/2*y + 82/5*y**2 + 1/10*y**3 = 0.
-162, -1
Let i be ((-2)/366)/(9 + 16380/(-1809)). Let d = i + 5/61. Factor -2/11*n**3 - d*n**2 + 2/11*n**4 + 0 + 2/11*n.
2*n*(n - 1)**2*(n + 1)/11
Let f = 131 + -133. Let c be ((-6)/(-2))/((-357)/(-255)) + f. Factor 0 + 0*u**2 + 0*u + 1/7*u**5 + c*u**3 - 2/7*u**4.
u**3*(u - 1)**2/7
Let q(l) be the third derivative of -4/15*l**6 