 + 5/2*m**4 + 135/2*m + 1/6*m**5 + 81/2 + 45*m**2.
(m + 3)**5/6
Let h(o) = 19*o**2 + 96*o - 399. Let u(i) = 42*i**2 + 193*i - 797. Let y(p) = -13*h(p) + 6*u(p). Factor y(m).
5*(m - 9)**2
Let x(s) = -2*s**3 - 20*s**2 - 50*s - 8. Let c be x(-6). Find o such that 16*o + 12*o**3 - c - 22*o**2 - 9/4*o**4 = 0.
2/3, 2
Let h = -4799 - -14401/3. Factor h*m**2 + 0 - 8/3*m.
4*m*(m - 2)/3
Let d(u) = -u + 16. Let t be d(14). Let 78*j**2 - 3*j**3 + t*j**4 - 76*j**2 + 7*j**3 = 0. Calculate j.
-1, 0
Let x(c) be the third derivative of -c**11/66528 + c**10/10080 - c**9/6048 - 7*c**5/30 + 5*c**2. Let v(p) be the third derivative of x(p). Factor v(n).
-5*n**3*(n - 2)*(n - 1)
Suppose -5979 + 5991 = 6*g. Factor 4/5 - 4/5*n**g + 2/5*n**3 - 2/5*n.
2*(n - 2)*(n - 1)*(n + 1)/5
Let b be ((-230)/161)/(-1 + (-44)/56). Find r such that -3/5*r**3 + 1/5*r - b*r**2 + 2/5 = 0.
-1, 2/3
Let r = -281 - -286. Let n(x) be the third derivative of 0 - 5/108*x**4 + 0*x - 2/27*x**3 - 2*x**2 - 2/135*x**r - 1/540*x**6. Determine f so that n(f) = 0.
-2, -1
Let d(z) be the third derivative of -z**7/525 + z**6/150 + 7*z**5/150 + z**4/15 - 119*z**2. Let d(m) = 0. What is m?
-1, 0, 4
Let i(m) be the first derivative of m**5/20 - 9*m**3/2 - 6*m**2 + 35. Let v(l) be the second derivative of i(l). Factor v(q).
3*(q - 3)*(q + 3)
Determine g so that -2*g + 16*g**3 - 4*g**5 - 294 + 286 - 10*g + 8*g**2 = 0.
-1, 1, 2
Let w(y) be the second derivative of 0*y**4 + 0 + 1/5*y**5 - 5*y - 2/3*y**3 + 0*y**2. Factor w(x).
4*x*(x - 1)*(x + 1)
Let u(p) be the first derivative of -64*p**5/45 + 80*p**4/9 - 436*p**3/27 + 9*p**2 - 2*p - 281. Solve u(c) = 0.
1/4, 3/2, 3
Let m(l) = -2*l**2 + 2*l + 4. Let s(c) = 2*c**2 - 3*c - 5. Suppose 3*g = 2*k - 0*k - 14, -4*k + 22 = -3*g. Let w(b) = k*s(b) + 3*m(b). Factor w(r).
2*(r - 4)*(r + 1)
Let s(q) be the third derivative of q**7/140 + q**6/4 + 69*q**5/40 + 41*q**4/8 + 8*q**3 - 714*q**2 - q. Solve s(v) = 0 for v.
-16, -2, -1
Let y(v) = -v**3 - 31*v**2 - 33*v - 90. Let q be y(-30). Solve q + 4/3*r**5 + 0*r**2 + 0*r + 0*r**3 + 0*r**4 = 0 for r.
0
Let y(a) be the first derivative of 2*a**2 + 0*a - 1/12*a**4 + 2 - 1/180*a**5 - 1/2*a**3. Let b(l) be the second derivative of y(l). Let b(w) = 0. Calculate w.
-3
Let k(c) = -3*c - 24 - 7*c**2 + 15*c**3 - 14*c**3 - 2*c. Let q be k(8). Factor 2/9*w**2 + q - 2/9*w - 2/9*w**4 + 2/9*w**3.
-2*w*(w - 1)**2*(w + 1)/9
Determine u, given that 3*u**2 - 12*u**4 + 5*u**4 - 24*u**3 + 10*u**4 + 18*u**2 = 0.
0, 1, 7
Find k, given that -18*k - 18*k + 48*k - 24*k - 7*k**2 - 3*k**2 = 0.
-6/5, 0
Let g(w) be the second derivative of -w**5/50 - 2*w**4/15 + 11*w**3/15 - 6*w**2/5 + w. Factor g(n).
-2*(n - 1)**2*(n + 6)/5
Let f(n) = 10*n**3 - 145*n**2 + 170*n + 35. Let o(x) = -x**3 + 16*x**2 - 19*x - 4. Let z(a) = 4*f(a) + 35*o(a). Factor z(u).
5*u*(u - 3)*(u - 1)
Let o be 2/(1 + -5)*-6. Suppose 0*h + 3*h - 6 = -o*a, 5*h + a - 2 = 0. Factor 0*d + 0 + h*d**2 + 2/5*d**3.
2*d**3/5
Let b(t) = 5*t**4 + 20*t**3 - 9*t**2 - 36*t - 4. Let z(y) = 4*y**4 + 16*y**3 - 9*y**2 - 36*y - 3. Let j(k) = -3*b(k) + 4*z(k). Solve j(n) = 0 for n.
-4, -3, 0, 3
Factor 0*i + 0 - 279/5*i**2 - 3/5*i**3.
-3*i**2*(i + 93)/5
Let r(j) = 5*j**2 - 6*j. Let q(d) = -9*d**2 + 11*d. Let c(m) = -3*q(m) - 5*r(m). Let s be c(2). Solve 2*l**5 + s*l**4 + 0*l**3 - 4*l**4 - l**5 + l**3 = 0.
0, 1
Let i = -32/35 - -6/5. Suppose i*c**4 - 6/7 + 8/7*c - 8/7*c**3 + 4/7*c**2 = 0. Calculate c.
-1, 1, 3
Let t(k) be the third derivative of k**6/72 - 17*k**5/18 + 1445*k**4/72 - 69*k**2 + 2*k. Let t(j) = 0. What is j?
0, 17
Let d(m) be the first derivative of -m**6/7 + 24*m**5/35 - 4*m**3 + 51*m**2/7 - 36*m/7 - 50. Solve d(r) = 0 for r.
-2, 1, 3
Let s = 211 - 205. Let k(w) be the second derivative of 0*w**4 - w + 2/3*w**3 + w**2 - 1/5*w**5 - 1/15*w**s + 0. Factor k(u).
-2*(u - 1)*(u + 1)**3
Let r(b) be the first derivative of 0*b**5 - 19 + 1/10*b**6 - 6/5*b + 9/10*b**2 + 2/5*b**3 - 3/5*b**4. Factor r(t).
3*(t - 1)**3*(t + 1)*(t + 2)/5
Let u = -2 + 8. Suppose -y + u = 2*y. Solve v**2 + v**y + v - 4*v**2 + v = 0.
0, 1
Let q be ((-2)/(-4))/(6 + (-177)/30). Factor 8*s + 26*s**3 + 10*s**4 + 2*s**q - s**4 - 21*s**4 - 24*s**2.
2*s*(s - 2)**2*(s - 1)**2
Let x be 18 - (4 + (-5 - -1)). Suppose -5*a - x = -11*a. Factor 44/3*q**2 + 16/3 - 56/3*q - 10/3*q**a.
-2*(q - 2)**2*(5*q - 2)/3
Let w(x) = -x**3 - 8*x**2 + 10*x + 12. Let p be w(-9). Let y be ((-24)/p)/2*-1. Solve -7*m**4 + 24*m**2 + 22 + 8*m**y + 8*m**3 + 32*m - 6 = 0.
-2
Solve 0*v**2 - 6*v + 6 + 3/2*v**3 - 3/8*v**4 = 0.
-2, 2
Suppose -34*f + 45*f = 55. Let z(a) be the first derivative of 10/3*a**3 - 3/2*a**4 - 2*a**2 + 1/3*a**6 - f - 2/5*a**5 + 0*a. Factor z(j).
2*j*(j - 1)**3*(j + 2)
Let b = 16 + -12. Let h be ((-4)/6)/(b/(-24)). Solve h*l**3 + 3*l**2 - l**3 - 4*l**4 - 3*l + 4*l**4 - 3*l**4 = 0 for l.
-1, 0, 1
Let j be (-3)/((-220)/104 + 2/1). Suppose 2*a = a + y - 2, -3*a - 5*y + j = 0. Suppose 10/9*w**3 + a*w - 8/3*w**2 - 4/9 = 0. What is w?
2/5, 1
Let o(q) be the third derivative of q**9/2376 + 3*q**8/3080 + q**7/2310 - 2*q**3/3 - 8*q**2. Let x(w) be the first derivative of o(w). Factor x(h).
2*h**3*(h + 1)*(7*h + 2)/11
Let q = 402/23 - 1022/69. Find p, given that 0 - q*p - 2/3*p**2 = 0.
-4, 0
Let i = -2 - -8. Let o be 16/i - (-4)/(-6). Factor x**4 - 5*x**2 + 2*x**2 + 3 - 3*x**2 + o*x**4.
3*(x - 1)**2*(x + 1)**2
Let t = 726298/21789 + 2/21789. Find b, given that -20/3*b - t - 1/3*b**2 = 0.
-10
Factor -600/11*y**2 + 18/11*y**3 + 776/11*y - 256/11.
2*(y - 32)*(3*y - 2)**2/11
Let n(s) = -s**2 - s - 2. Let h be n(-1). Let o be h/(-4 + 0/(-6)). Factor 0*w + o - 1/2*w**2.
-(w - 1)*(w + 1)/2
Factor -1 - 56*y**2 + 24*y + 29 - 63*y**2 + 115*y**2.
-4*(y - 7)*(y + 1)
Let m(f) be the first derivative of -f**7/420 + f**6/180 + f**5/60 - f**4/12 - f**3/3 + 7. Let g(b) be the third derivative of m(b). Factor g(v).
-2*(v - 1)**2*(v + 1)
What is p in -232*p + 18*p**3 + 16*p**4 + 232*p + 2*p**5 - 36*p**2 = 0?
-6, -3, 0, 1
Let v(f) = -20*f**2 - 144*f - 288. Let g(o) = -7*o**2 - 49*o - 96. Let h(n) = -8*g(n) + 3*v(n). Factor h(x).
-4*(x + 4)*(x + 6)
Let w(b) be the second derivative of 0*b**3 + 0*b**2 - 1/84*b**4 - 1/210*b**6 + 0 - 1/70*b**5 + 7*b. Factor w(o).
-o**2*(o + 1)**2/7
Suppose 0 = -3*d + 3*i + 18, 0 = 2*i + i + 12. Suppose 0 = -2*b + d*b + 7*b. Solve -15/4*h**5 - 21/4*h**4 + 3/2*h + 21/4*h**2 + b + 9/4*h**3 = 0.
-1, -2/5, 0, 1
Let y(r) be the first derivative of 14 + 2/3*r**3 - 3*r + 1/2*r**2. Factor y(t).
(t - 1)*(2*t + 3)
Let f(a) = 22*a - 37*a + 15 - 33*a - 12*a**4 + 48*a**3. Let m(k) = 11*k**4 - 47*k**3 - k**2 + 47*k - 14. Let q(n) = -4*f(n) - 3*m(n). Let q(i) = 0. Calculate i.
-1, 2/5, 1, 3
Let p(t) = -10*t**3 + 233*t**2 - 2784*t - 1152. Let g(n) = -n**3 - n**2. Let f(j) = 5*g(j) - p(j). Find m, given that f(m) = 0.
-2/5, 24
Let l be (-105)/(-14)*16/20. Factor -3/2*s**3 + 0 + l*s**2 - 9/2*s.
-3*s*(s - 3)*(s - 1)/2
Suppose -4*h + 208 - 184 = 2*l, -2*l - 2*h = -16. Suppose -s + 4*s = 6. Find r, given that -2/3*r**l - s*r - 10/3*r**3 - 14/3*r**2 + 0 = 0.
-3, -1, 0
Let p be 1 + 2/1 + -11 + 4. Let x be (5/(-10))/(10/p). Factor 3/5 - x*i**2 + 2/5*i.
-(i - 3)*(i + 1)/5
Determine z, given that -10 + 2*z**2 - 10*z + 51*z - 33*z = 0.
-5, 1
Let z(k) = k + 3. Let r be z(5). Suppose -r*c = -3*c - 25. Factor -c*o - 24*o**4 + 3*o + 19*o**4 + 6*o**5 + 12*o**3 + 21*o**4.
2*o*(o + 1)**3*(3*o - 1)
Let r be 12/(-3) - (-42)/(6 - -1). Let s(t) be the third derivative of 1/240*t**6 - 1/24*t**5 + 0 + 0*t + 5*t**r + 7/48*t**4 - 1/4*t**3. Factor s(h).
(h - 3)*(h - 1)**2/2
Let l(s) be the first derivative of -30 + s**5 + 5/4*s**4 - 30*s**2 - 40/3*s**3 + 0*s. What is j in l(j) = 0?
-2, 0, 3
Let x(f) be the third derivative of f**6/200 + 9*f**5/100 + 13*f**4/20 + 12*f**3/5 + 34*f**2 + 4*f. Factor x(g).
3*(g + 2)*(g + 3)*(g + 4)/5
Let t(f) be the second derivative of f**4/4 - 7*f**3/2 + 18*f**2 - 107*f. Factor t(z).
3*(z - 4)*(z - 3)
Let q be (16/20)/(4/10). Let c = 3 + q. Suppose -c*i + 2*i - 26*i**2 + 4*i + 27*i**2 = 0. What is i?
-1, 0
Let u be 36/(-10) + 3 - (-6837)/45. Let d = 152 - u. Determine h so that d*h**2 - 2/3*h - 4/3 = 0.
-1, 2
Let b(f) be the third derivative of -7/30*f**6 + 0 + 0*f - 25/2*f**4 - 15*f**2 - 12*f**3 - 44/15*f**5. Let b(r) = 0. Calculate r.
-3, -2/7
Let j(x) = -