2*h**4 - 5*h**3 - 4*h**2 - 5*h + 5. Let j(c) = 7*c**5 + 4*c**4 - 9*c**3 - 8*c**2 - 8*c + 9. Let g(n) = 3*j(n) - 5*z(n). Factor g(x).
(x - 1)**2*(x + 1)**2*(x + 2)
Let z(p) be the second derivative of -p**7/7560 - p**6/216 - 5*p**5/72 + p**4/4 + 18*p. Let t(k) be the third derivative of z(k). Factor t(m).
-(m + 5)**2/3
Suppose -3*y = 5*p - 6*p + 3, -5*p - 5*y = -15. Let v = p - 0. Determine m so that -1 - m**v + m + m**5 + m**4 - 2*m**2 + 2 - m**3 = 0.
-1, 1
Determine h, given that 37*h**2 + 186*h**3 - 147*h**5 + 129*h**4 - 24*h + 22*h**2 + h**2 + 174*h**5 = 0.
-2, -1, 0, 2/9
Let r(n) = 5*n**3 - 25*n**2 + 31*n - 3. Let x be r(3). Let 0*h + 0*h**2 + 9/2*h**5 + x - 3/2*h**3 + 3/4*h**4 = 0. Calculate h.
-2/3, 0, 1/2
Let n(j) = -j**2 - 26*j + 87. Let s be n(-29). Factor 0*p**2 + 1/3*p**3 + s*p + 0.
p**3/3
Let g be ((-1)/(-2))/((-20)/(-360)). Let i(u) be the first derivative of 16*u + 8*u**2 + 4/3*u**3 + g. Suppose i(q) = 0. What is q?
-2
Suppose 0 = -4*y + 1 + 11. Suppose 3*k + l = 2*k + 6, -14 = -5*k + 3*l. Factor 4*h + k*h**2 - 7 + 0*h**2 - y + 2.
4*(h - 1)*(h + 2)
Suppose -3*v + 0*s = 5*s - 6, -s - 2 = -v. Find q, given that 16*q**v - 10*q**2 + q + 0*q + q = 0.
-1/3, 0
Let d(g) = 41*g**2 - 373*g - 377. Let j(w) = -13*w**2 + 124*w + 126. Let s(k) = -6*d(k) - 17*j(k). Let s(q) = 0. Calculate q.
-4/5, 6
Suppose -60*a + 160 = 39*a - 236. Find j such that -2*j**a - 4/7*j**2 - 18/7*j**3 + 0 + 0*j = 0.
-1, -2/7, 0
Suppose 2*s - 14 = -2*j - 3*j, 0 = j + 5*s + 11. Suppose -r + 0 = -j. Factor -3*f**2 + f**4 - 3*f**r + f**4 + 4*f**4.
3*f**2*(f - 1)*(f + 1)
Factor -36*q - 242*q**2 + 260*q**2 + q**3 - 3*q**3.
-2*q*(q - 6)*(q - 3)
Let u(x) = 3*x**2 + 3*x - 16. Let b be u(2). Let i(h) be the second derivative of 4/15*h**3 - 1/5*h**b - 1/10*h**4 + 0 + 3*h. Factor i(k).
-2*(k - 1)*(3*k - 1)/5
Let -16/3 + 106/3*f**3 + 56/3*f + 52*f**2 + 22/3*f**4 = 0. Calculate f.
-2, -1, 2/11
Let z(v) be the third derivative of -v**6/720 + v**5/180 + 13*v**4/144 + 5*v**3/18 - 384*v**2. What is i in z(i) = 0?
-2, -1, 5
Let x = 232 + -232. Let y(g) be the first derivative of 0*g**2 + x*g + 4 - 3/4*g**4 - 3/5*g**5 - 1/6*g**6 - 1/3*g**3. Solve y(v) = 0.
-1, 0
Let c(m) be the second derivative of -4*m**4/15 - 26*m**3/5 + 4*m**2 + 80*m. Factor c(t).
-4*(t + 10)*(4*t - 1)/5
Let k(p) = p**3 + 5*p**2 - 6*p + 7. Let q be k(-6). Let i(f) = f**2 - 6*f - 4. Let n be i(q). Suppose 3*j**2 + j - 2*j**n - 3*j - 7*j**2 = 0. What is j?
-1, 0
Find h, given that 1/5*h**4 - 3/5*h**2 - 1/5*h + 2/5 + 1/5*h**3 = 0.
-2, -1, 1
Let z(b) = -9*b**5 + 8*b**4 - 4*b**3 - 15*b**2 + 6*b - 7. Let q(u) = -3*u**5 + 3*u**4 - u**3 - 5*u**2 + 2*u - 2. Let t(j) = -7*q(j) + 2*z(j). Factor t(s).
s*(s - 1)**2*(s + 1)*(3*s - 2)
Let a = -716/47 - -5153/329. Factor -6/7*s**2 + 0*s - a*s**3 + 0.
-3*s**2*(s + 2)/7
Suppose 108*h + 106*h - 91*h = 369. Factor -9/2 + 3/2*l + 1/2*l**h + 5/2*l**2.
(l - 1)*(l + 3)**2/2
Let z be 25/700*14/4. Factor 0*h**2 + 0*h**3 - 1/4*h**4 + 0 + z*h**5 + 0*h.
h**4*(h - 2)/8
Let y be 5 - (-6 + 10 + -1). Let k(v) be the second derivative of -1/20*v**5 + 0 - 4*v - 1/3*v**3 + 0*v**y - 1/4*v**4. Suppose k(o) = 0. What is o?
-2, -1, 0
Factor -b**2 + 2*b**3 + 0*b**4 - 1/2*b**5 - 3/2*b + 1.
-(b - 1)**3*(b + 1)*(b + 2)/2
Let z(i) = 2*i**3 - 2*i - 1. Let k be z(2). Let c be (-2)/k + (-408)/(-187). Let -1/6*g**c - 3/2 + g = 0. What is g?
3
Let x = -1468 - -1468. Let v(c) be the first derivative of 0*c**2 + x*c + 10 + 1/5*c**3. Factor v(w).
3*w**2/5
Suppose -5*p - 9 = 4*y - 50, 3*p = -4*y + 31. Let h(u) be the first derivative of -1/15*u**5 - 1/3*u**y + 1 + 0*u**2 + 0*u - 1/3*u**3. Factor h(d).
-d**2*(d + 1)*(d + 3)/3
Let t(v) = v**2 + 1. Let l(x) = 3*x**2 - 2*x + 3. Let n = 10 + -5. Suppose n*i + 11 = -3*k, 3*k + 2*i = -4 - 4. Let y(w) = k*t(w) + l(w). Factor y(g).
(g - 1)**2
Factor -11998*t - 18300*t - 4260*t**2 + 3200 + 7418*t - 260*t**3 - 5*t**4 - 41920.
-5*(t + 4)**2*(t + 22)**2
Suppose 1/5*m - 1/5*m**3 + 2/5*m**2 - 2/5 = 0. What is m?
-1, 1, 2
Suppose 3*i - 23 = 7. Suppose -13*d = i - 62. Factor 0 + 2/7*u**5 - 4/7*u**2 + 4/7*u**d - 2/7*u + 0*u**3.
2*u*(u - 1)*(u + 1)**3/7
Suppose 9*m - 15 = 12. Solve -44*l**m + l + 0*l**2 - 2*l**2 + 45*l**3 = 0.
0, 1
Let v(a) be the third derivative of -a**8/112 - a**7/14 - 3*a**6/20 + a**5/10 + 7*a**4/8 + 3*a**3/2 - 21*a**2 + 6. Factor v(y).
-3*(y - 1)*(y + 1)**3*(y + 3)
Let h be 2/4*4 - 351/174. Let x = h + 121/290. Suppose 3*q**3 - q**5 - 4/5*q + x*q**4 + 0 + 4/5*q**2 = 0. What is q?
-1, 0, 2/5, 2
Let x be 2/(-6) - (4 - (-186)/(-18)). Solve -v**2 - 3*v**2 - 2*v**2 - x*v + 11*v**2 + v**3 = 0.
-6, 0, 1
Suppose 0 = 3*l - 4 - 5, -3*g + 18 = 4*l. Let w be (6/10)/(g/10). Factor 9/5*b + 3/5*b**w - 3/5 - 9/5*b**2.
3*(b - 1)**3/5
Let m(i) = i**2 + 4*i - 10. Let u be m(-6). Suppose -18 = -4*n - u. Let -6/5*r + 84/5*r**n - 116/5*r**3 - 4/5 - 22/5*r**5 + 64/5*r**2 = 0. What is r?
-2/11, 1
Factor -7 + 0 - 570*o**2 - 3 - 229*o + 0 + 775*o**3 + 34*o.
5*(o - 1)*(5*o + 1)*(31*o + 2)
Let x be ((-2)/(-8))/((-12)/592). Let o = 13 + x. Factor 0*b - 2/3*b**2 + o.
-2*(b - 1)*(b + 1)/3
Let j(y) = -y**2 + 21*y - 51. Let p be j(18). Suppose -5*d - p + 7 = -m, 16 = -d - 4*m. Determine g, given that d + 4/3*g**3 + 0*g + 0*g**2 + 2/3*g**4 = 0.
-2, 0
Let n(z) be the third derivative of -z**5/390 + 79*z**4/156 + 6*z**2 + 2*z. Factor n(d).
-2*d*(d - 79)/13
Let x(w) be the third derivative of 1/6*w**3 + 11/30*w**5 + 7/30*w**6 - 30*w**2 + 0*w + 0 + 1/84*w**8 + 17/210*w**7 + 1/3*w**4. Suppose x(q) = 0. Calculate q.
-1, -1/4
Solve 2 - 12 + 4 - 33*x**2 + 34*x**2 - 5*x = 0 for x.
-1, 6
Let t(b) be the second derivative of -b**5/30 - 5*b**4/9 - 28*b**3/9 - 8*b**2 + 212*b. Factor t(p).
-2*(p + 2)**2*(p + 6)/3
Suppose 4*t - 29*t + 75 = 0. Suppose z - 5*p = -4*z + 25, 2*z + 2 = -2*p. Factor -4/3 - z*c + 0*c**2 + 2/3*c**t.
2*(c - 2)*(c + 1)**2/3
Let h(f) be the third derivative of f**6/30 - f**5/3 - 16*f**4/3 - 24*f**3 - 95*f**2. Solve h(m) = 0.
-2, 9
Suppose -2/3 - 2/3*q**2 - 5/3*q = 0. Calculate q.
-2, -1/2
Suppose 33*l - 35*l + 46 = 0. Solve l*d - 3*d**3 - 20*d - 13*d**2 + 13*d**2 = 0 for d.
-1, 0, 1
Let s = 2231/988 + -2/247. Let y = 661/892 - -2/223. What is w in -y*w**2 - s + 3*w = 0?
1, 3
Let p(f) be the second derivative of -1/1620*f**6 + 0 + 1/2*f**3 + 0*f**5 + 1/27*f**4 + 0*f**2 - 3*f. Let z(r) be the second derivative of p(r). Factor z(n).
-2*(n - 2)*(n + 2)/9
Let z(g) = -4*g**4 - 20*g**3 + 12*g**2 + 8*g - 2. Let p(d) = d**4 - d**3 + d**2 - d - 1. Let i(v) = 6*p(v) - z(v). Factor i(u).
2*(u - 1)*(u + 1)**2*(5*u + 2)
Factor 10*y**2 + 192*y + 2028 + 633*y - 23 + 5*y**3 + 110*y**2 - 255.
5*(y + 5)**2*(y + 14)
Let d(z) be the second derivative of -1/25*z**6 - 9/100*z**5 + 0*z**4 + 0*z**3 - 1/210*z**7 + 0 + 0*z**2 + 4*z. Factor d(t).
-t**3*(t + 3)**2/5
Suppose 9*u - 8 = 5*u. Factor -3*k - 5*k**2 - 6 + 15*k - 4*k + 3*k**u.
-2*(k - 3)*(k - 1)
Let p be 315/6 - -1*(1 + -4). Let y = p + -1077/22. Factor 6/11*m**3 + 0 + 2/11*m + 2/11*m**4 + y*m**2.
2*m*(m + 1)**3/11
Suppose -f + 9*f = 40. Suppose -27*j + 53*j**4 - 3*j**f - 42*j**3 - 48*j**2 + 42*j**4 - 6 - 113*j**4 = 0. What is j?
-2, -1
Let y(k) be the first derivative of -k**6/288 - k**5/96 + 22*k**3/3 - 5. Let h(r) be the third derivative of y(r). Factor h(z).
-5*z*(z + 1)/4
Let g(z) = -3*z**4 - 17*z**3 - 3*z**2 + 56*z - 20. Let m(b) = b**4 + 9*b**3 + b**2 - 27*b + 10. Let s(i) = -6*g(i) - 13*m(i). Factor s(j).
5*(j - 2)*(j - 1)**2*(j + 1)
Let v = 1019 - 1019. Let t(j) be the first derivative of 1/18*j**4 - 2/45*j**5 + 8 + 0*j + 0*j**3 + v*j**2. Suppose t(g) = 0. What is g?
0, 1
Suppose v = -737*h + 742*h - 19, -5*v - 43 = h. Factor 0 + 0*f**3 - 4/7*f**4 + 0*f**h + 0*f + 2/7*f**5.
2*f**4*(f - 2)/7
Factor 0 - 2/9*d**5 - 16/9*d**3 - 8/9*d**2 + 0*d - 10/9*d**4.
-2*d**2*(d + 1)*(d + 2)**2/9
Let n = -1277 - -1277. Factor 1/2 - 1/2*m**2 + n*m.
-(m - 1)*(m + 1)/2
Let k(v) = -v**2 - 6*v + 6. Let a(c) = -4*c**2 - 30*c + 28. Let f(o) = 6*a(o) - 28*k(o). Suppose f(n) = 0. Calculate n.
0, 3
Let i(j) be the third derivative of 0*j + 16*j**3 - 17*j**2 + 0 + 2/3*j**4 + 1/90*j**5. What is b in i(b) = 0?
-12
Let f(k) = 2*k - 1. Let j(p) = p**2 - 36*p + 258. Let q(w) = 2*f(w) + j(w). Determine b so that q(b) = 0.
16
Find f, given that -11645*f**5 + 11648*f**5 + 32*f**4 + 