3/5*g**h - 21/5*g.
-3*(g - 3)*(g - 1)**2/5
Let q = -190 + 202. Let d be ((-9)/q)/((-12)/4). Factor 1/4*u**5 - 1/4*u**3 + 1/4*u**4 - d*u**2 + 0*u + 0.
u**2*(u - 1)*(u + 1)**2/4
Let s(t) = 16*t**2 - 474*t + 14403. Let f(j) = 44*j**2 - 1424*j + 43208. Let z(o) = 3*f(o) - 8*s(o). Factor z(g).
4*(g - 60)**2
Suppose -z + 2*c = -11, -3*c - 6 = 4*z - 2*z. Determine m, given that 3 + 0*m**5 - 4*m**z + 2*m**5 + 1 - m**2 - 14*m - 4*m**4 + 17*m**2 = 0.
-2, 1
Factor 1/3*k**2 + 243 + 18*k.
(k + 27)**2/3
Let x(m) = m**3 - 14*m**2 - 13*m - 19. Let b be x(15). Let n = b + -19/2. Factor 0 + 3/4*l**3 + 0*l + n*l**2 - 3/4*l**4.
-3*l**2*(l - 2)*(l + 1)/4
Factor 180/19 + 18/19*u**3 + 68/19*u**2 - 826/19*u.
2*(u - 5)*(u + 9)*(9*u - 2)/19
Let p(o) be the third derivative of -1/10*o**5 + 3/20*o**6 - 2/3*o**4 + 0*o + 4/3*o**3 + 0 + 3*o**2. What is l in p(l) = 0?
-1, 2/3
Let n(m) be the first derivative of -1/2*m**2 - 16 + 5/12*m**3 + 0*m - 1/16*m**4. Determine c so that n(c) = 0.
0, 1, 4
Factor -7776/13*o - 2/13*o**3 + 93312/13 + 216/13*o**2.
-2*(o - 36)**3/13
Let i(r) = r**2 + 4. Let x(k) = -9*k**2 + 20*k - 78. Let l(d) = -14*i(d) - 2*x(d). Factor l(g).
4*(g - 5)**2
Suppose -2*a + 13 = -3*f, -a + 3*f + 17 = -2*f. Suppose a*z - 3*z - 9 = 3*h, -2*h = 3*z - 1. Factor -4*p + 44*p**z + p**2 + 2*p**4 - 52*p**3 + 9*p**2.
2*p*(p - 2)*(p - 1)**2
Let c(k) be the second derivative of k**8/23520 - 2*k**7/6615 + k**6/1080 - k**5/630 - 25*k**4/12 + 17*k. Let x(y) be the third derivative of c(y). Factor x(f).
2*(f - 1)**2*(3*f - 2)/21
Let -6*r**3 - 3*r**3 + 1481*r**5 - 1478*r**5 - 6*r**2 = 0. Calculate r.
-1, 0, 2
Factor 0*h + 2/15*h**5 + 0 + 4/5*h**3 + 14/15*h**4 + 0*h**2.
2*h**3*(h + 1)*(h + 6)/15
Let n be (((-21)/104)/(-7))/((-357)/(-1904)). What is k in 0 + n*k**3 + 4/13*k**2 + 2/13*k = 0?
-1, 0
Factor -18*g**2 - 36*g**2 + 49*g**2 - 115*g.
-5*g*(g + 23)
Let u(a) be the second derivative of -5/21*a**3 + 1/7*a**2 + 8*a + 2/21*a**4 + 0. Factor u(r).
2*(r - 1)*(4*r - 1)/7
Let c be (-52)/(-65)*(5 - 0) + 20/(-6). Suppose -20/9*p**2 - 4/9 + c*p**3 + 2*p = 0. What is p?
1/3, 1, 2
Let j(n) = 5*n**4 - 4*n**3 + 14*n + 11. Let w(a) = 7*a**4 - 4*a**3 - a**2 + 14*a + 12. Let t(v) = 4*j(v) - 3*w(v). Factor t(m).
-(m - 2)*(m + 1)**2*(m + 4)
Let d(h) be the first derivative of -h**8/672 - h**7/168 - h**6/144 - h**3 - 32. Let c(m) be the third derivative of d(m). Find w, given that c(w) = 0.
-1, 0
Let c(i) = i**5 - 6*i**4 - 7*i**3. Let t(w) = 8*w**5 - 54*w**4 - 62*w**3. Let g(m) = 52*c(m) - 6*t(m). Factor g(n).
4*n**3*(n + 1)*(n + 2)
Let j(a) = -a**2 + 3*a. Suppose -4*f = -8*f - 3*u + 1, -5*u = -15. Let n(l) = 5*l**2 - 12*l + 1. Let z = -59 + 50. Let m(y) = f*n(y) + z*j(y). Factor m(d).
-(d + 1)*(d + 2)
Let k(s) be the second derivative of 0 + 3*s + 0*s**2 - 11/420*s**5 + 2/3*s**3 + 1/140*s**6 + 1/42*s**4. Let u(g) be the second derivative of k(g). Factor u(c).
2*(c - 1)*(9*c - 2)/7
Find m, given that 13*m**2 + 15*m + 15*m - 9 + 14 + 9 + 2*m**3 + 5*m**2 = 0.
-7, -1
Let x = -70 + 59. Let s = -9 - x. Solve -12/11*n - 18/11 - 2/11*n**s = 0 for n.
-3
Let p(v) be the second derivative of -1/60*v**4 + 0*v**2 + 0 - 12*v + 0*v**3. Solve p(l) = 0.
0
Let k be -38*((-2)/(-6) - (-99)/(-378)). Let j = 22/7 + k. Suppose -3/7*w**4 - 16/7*w**2 + j - 2*w**3 - 2/7*w = 0. Calculate w.
-3, -1, 1/3
Let b(q) be the third derivative of 1/40*q**5 + 0*q - 17*q**2 + 0 + 3/140*q**7 + 0*q**3 + 0*q**4 + 1/20*q**6. Determine o, given that b(o) = 0.
-1, -1/3, 0
Let c = 1557 + -1557. Let q be (-8)/(-14) + 2/7. What is l in -2/7*l**3 - q*l**2 + c*l + 8/7 = 0?
-2, 1
Let y(g) = g**2 + 10*g + 21. Let k(l) = -21 - 43 - 12*l - 3*l**2 - 18*l. Let c(r) = -4*k(r) - 11*y(r). Factor c(a).
(a + 5)**2
Let s(c) be the first derivative of -2*c**5/25 + 13*c**4/2 - 616*c**3/15 + 484*c**2/5 - 96*c + 323. Suppose s(k) = 0. Calculate k.
1, 2, 60
Let g(z) be the third derivative of -z**5/180 + 109*z**4/18 - 23762*z**3/9 - 248*z**2. Factor g(x).
-(x - 218)**2/3
Find r, given that 13/5*r + 17/5*r**3 - 2/5 - 4/5*r**4 - 24/5*r**2 = 0.
1/4, 1, 2
Let x(q) be the third derivative of q**5/420 - 23*q**4/168 + 11*q**3/21 + 46*q**2. Determine d so that x(d) = 0.
1, 22
Let s(t) be the third derivative of 2*t**7/735 + 2*t**6/105 + t**5/35 - 2*t**4/21 - 8*t**3/21 - 57*t**2. Find o such that s(o) = 0.
-2, -1, 1
Suppose -o - 4*d = 10, 3*o + 61*d - 9 = 62*d. Find b such that 16/5*b + 1/5*b**4 + 8/5*b**o + 0 - 7/5*b**3 = 0.
-1, 0, 4
Let v(w) be the second derivative of 2*w**6/105 - 13*w**5/14 + 33*w**4/2 - 2299*w**3/21 - 1331*w**2/7 + 10*w - 7. Solve v(n) = 0 for n.
-1/2, 11
Suppose 0 = v + 4*r - 54, r = -4*v + 5 + 151. Find g, given that 73*g**3 - 39*g**3 - 4*g**2 - v*g**3 = 0.
-1, 0
Let t(i) = 5*i**4 + 17*i**3 + 44*i**2 + 6. Let l(g) = -16*g**4 - 48*g**3 - 132*g**2 - 20. Let z(x) = -6*l(x) - 20*t(x). Factor z(j).
-4*j**2*(j + 2)*(j + 11)
Let h(s) be the first derivative of s**8/2800 + s**7/1400 - s**6/600 - s**5/200 - 6*s**3 + 2. Let i(k) be the third derivative of h(k). Factor i(x).
3*x*(x - 1)*(x + 1)**2/5
Let b(j) be the second derivative of 4/15*j**3 + 1/50*j**5 - 8*j + 0*j**2 - 1/6*j**4 + 0. Solve b(i) = 0.
0, 1, 4
Suppose 59*l = 34*l + 75. Find v, given that 324/7*v**2 + 75/7*v + 192/7*v**4 + 6/7 + 528/7*v**l = 0.
-2, -1/4
Suppose -1/2*g**2 + 37*g - 73/2 = 0. What is g?
1, 73
Let n = 4/1219 + 2426/3657. Suppose -4/9 - 2/9*l**2 + n*l = 0. What is l?
1, 2
Factor -12 - 7/2*u + 1/6*u**2.
(u - 24)*(u + 3)/6
Solve -54/7*w - 6/7*w**3 + 60/7*w**2 + 0 = 0 for w.
0, 1, 9
Solve 495/4 - 245/2*y - 5/4*y**2 = 0.
-99, 1
Suppose 49 = k - 0. Let o = k - 28. Find i such that 9 + 20*i**2 + o*i - 6*i**2 + 3*i**3 + i**2 = 0.
-3, -1
Determine c, given that 0*c**2 + 3*c**2 + c - 3*c**4 + 80766*c**3 - 80769*c**3 + 2*c = 0.
-1, 0, 1
Let c(t) be the second derivative of 0*t**2 + 0 - 1/3*t**3 - 14*t + 1/6*t**4. What is g in c(g) = 0?
0, 1
What is a in 0 - 12/11*a**3 + 0*a**2 + 30/11*a**4 + 0*a - 18/11*a**5 = 0?
0, 2/3, 1
Let p = -25 - -24. Let o(l) = -6*l + 5. Let q(i) = -5*i + 4. Let s(g) = -4*o(g) + 5*q(g). Let h(f) = 3*f**2 + 9*f + 3. Let m(d) = p*h(d) - 3*s(d). Factor m(c).
-3*(c + 1)**2
Let d(u) be the second derivative of -16/15*u**3 + 13/90*u**4 - 1/150*u**5 + 0 + 6*u + 12/5*u**2. Let d(l) = 0. Calculate l.
1, 6
Let p(z) = -4*z**3 - 46*z**2 - 116*z - 62. Let k(y) = 17*y**3 + 185*y**2 + 463*y + 241. Let v(q) = 2*k(q) + 9*p(q). Factor v(r).
-2*(r + 1)*(r + 2)*(r + 19)
Suppose 0 = 2*a - 3*x - 6, 977 - 969 = -4*x. Let 1/3*n**3 + 2/3*n**2 + a + 1/3*n = 0. What is n?
-1, 0
Let f be (-2*1)/(257/(-1799)). Let -f - 2/7*k**2 - 4*k = 0. Calculate k.
-7
Let u(g) be the third derivative of g**7/4200 - g**6/600 - 2*g**3 - 15*g**2. Let y(p) be the first derivative of u(p). Factor y(x).
x**2*(x - 3)/5
Let q(m) be the second derivative of -1/6*m**4 + 0*m**2 + 0 - m + 1/40*m**5 - 5/12*m**3. Factor q(o).
o*(o - 5)*(o + 1)/2
Let n(s) be the third derivative of s**5/60 - 15*s**4/4 + 675*s**3/2 - s**2 + 122. Determine p, given that n(p) = 0.
45
Let b(j) = j**2 - 13*j - 27. Let q be b(16). Let u be ((-2)/5)/(q/(-15)). Factor 0 - u*z**3 - 2/7*z + 4/7*z**2.
-2*z*(z - 1)**2/7
Let y be ((30/(-75))/(2/5) - 1) + 4. Find z such that 0*z + 10/3*z**4 + 0 - 6*z**2 - 2/3*z**5 - y*z**3 = 0.
-1, 0, 3
Let g(h) = -50*h**4 - 630*h**3 - 475*h**2 + 35*h - 70. Let u(m) = -3*m**4 - 37*m**3 - 28*m**2 + 2*m - 4. Let a(q) = -2*g(q) + 35*u(q). Factor a(j).
-5*j**2*(j + 1)*(j + 6)
Let i be (10/50)/(-7*1/(-175)). Factor -2/3*z**i + 4/9*z**3 + 0 + 0*z**2 + 0*z - 2/9*z**4.
-2*z**3*(z + 1)*(3*z - 2)/9
Let k(n) be the third derivative of -n**6/24 - 49*n**5/12 - 475*n**4/24 - 235*n**3/6 - 144*n**2. Factor k(a).
-5*(a + 1)**2*(a + 47)
Let k(r) be the first derivative of -2*r**3/33 + 5*r**2/11 + 72*r/11 - 44. Factor k(y).
-2*(y - 9)*(y + 4)/11
Let v(r) = -121*r - 966. Let i be v(-8). Factor 1 + 4*q**i - 17/4*q - 3/4*q**3.
-(q - 4)*(q - 1)*(3*q - 1)/4
Let v(i) be the third derivative of -i**9/60480 + i**8/4032 - i**7/630 + i**6/180 + 3*i**5/10 - 14*i**2. Let u(h) be the third derivative of v(h). Factor u(p).
-(p - 2)**2*(p - 1)
Suppose 3*b - 5 - 1 = 0. Factor 4*m**b - 12*m - 29 + 20 + 17.
4*(m - 2)*(m - 1)
Suppose -2*l + 11 + 19 = 8*l. Factor -1/3*c**4 - 3 - 4*c + 2/3*c**2 + 4/3*c**l.
-(c - 3)**2*(c + 1)**2/3
Suppose -a - 5*s - 