2 + 3*f + 1. Factor g(y).
-5*(y - 1)*(y + 1)**2*(y + 12)
Let m(b) = -5*b**5 - 3*b**4 + 7*b**3 - 5*b + 3. Let y(f) = -7*f**4 + 22*f**3 - 6*f**4 - 16*f + 3*f**4 - 16*f**5 + 10. Let c(s) = 20*m(s) - 6*y(s). Factor c(t).
-4*t*(t - 1)**2*(t + 1)**2
Suppose -2*z = 5*o + z - 12, -12 = -3*o - 3*z. Suppose 16 = -4*p, 5*q = 4*q + p + 4. Factor q*j**2 + o + 5/3*j**4 + 2/3*j**3 + 0*j.
j**3*(5*j + 2)/3
Suppose -11*z + 90 = 90. Let 36/5*t**4 + z - 32/5*t**2 + 14/5*t**3 + 8/5*t - 18/5*t**5 = 0. What is t?
-1, 0, 1/3, 2/3, 2
Let g(f) be the first derivative of 34 + 0*f**3 + 32/45*f**5 - 1/9*f**6 + 0*f + 16/9*f**2 - 4/3*f**4. Suppose g(x) = 0. Calculate x.
-2/3, 0, 2
Suppose -c + 129 = 1. Let r be 4*4/c*2. Solve 0 + r*k**3 - 1/4*k - 1/2*k**4 + 1/2*k**2 = 0.
-1, 0, 1/2, 1
Let p = 251 + -138. Factor -1 + 196*a**3 + 128*a - p*a**2 - 15 - 195*a**2.
4*(a - 1)*(7*a - 2)**2
Factor -b**2 + 25*b**2 + 150 - 65*b - 29*b**2.
-5*(b - 2)*(b + 15)
Let h(w) be the third derivative of 0 + 0*w - 1/30*w**5 + 5/48*w**4 - 9*w**2 - 1/6*w**3 + 1/240*w**6. Suppose h(m) = 0. What is m?
1, 2
Suppose -5*n + 8 + 12 = 0. Suppose -n*p + 7*p = 6. Factor -u**2 + 4*u**2 - 4*u**3 + 3*u**p - 4 - 2*u**2 + 4*u.
-4*(u - 1)**2*(u + 1)
Let q = -1/101 + 508/303. Let r = q - 4/3. Let 0 - r*p + 1/3*p**2 = 0. What is p?
0, 1
Suppose 24*f = 25*f. Let y(k) be the third derivative of 0 + 0*k + 1/144*k**4 + f*k**3 + 1/360*k**5 + 5*k**2. Find n such that y(n) = 0.
-1, 0
Let o = 3 - -2. Suppose -12*j - 64 = -20*j. Factor -6*l - j + o + 2*l**2 + 7.
2*(l - 2)*(l - 1)
Suppose -3*f - 4*h = -f + 14, h = -3*f + 4. Suppose f*p = -5*p + 16. Suppose 24/17*z**3 + 2/17*z**5 + 12/17*z**4 + 16/17*z**p + 0 + 0*z = 0. Calculate z.
-2, 0
Let s be (8 - 10)/20 + (-4)/(-40). Factor 5/3*n - 5/3*n**3 + 0*n**2 + s.
-5*n*(n - 1)*(n + 1)/3
Let j be 16 + 3504/(-216) - (-2 + (-32)/(-18)). Let -11/2*p**2 - p - 8*p**3 - 7/2*p**4 + j = 0. Calculate p.
-1, -2/7, 0
Let x(w) be the first derivative of 5*w**3/3 - 10*w**2 + 22*w + 5. Let d(l) = -110*l**2 + 440*l - 485. Let t(o) = 2*d(o) + 45*x(o). Factor t(f).
5*(f - 2)**2
Let j = 4 + 1. Let n(i) = i**2 - 5*i + 2. Let x be n(j). Factor 6*f - 6*f + 6*f**2 - 5*f**3 - f**x.
-5*f**2*(f - 1)
Let k(z) = -3*z**5 + 5*z**4 - 2*z**3 - 2*z**2 + 4. Let b(f) = f**5 - f**3 - f**2 + 2. Let d(u) = 2*b(u) - k(u). Let d(o) = 0. What is o?
0, 1
Let o = -39 + 47. Determine h, given that -45*h + 20*h**2 + 9*h + o - 8*h = 0.
1/5, 2
Let m(i) be the second derivative of -i**6/75 - i**5/5 - 4*i**4/5 + 2*i**3/3 + 5*i**2 - 5*i - 4. Suppose m(b) = 0. What is b?
-5, -1, 1
Let r(n) be the third derivative of -n**8/110880 - n**7/5544 - n**6/990 + 7*n**5/20 - 43*n**2. Let t(s) be the third derivative of r(s). Factor t(z).
-2*(z + 1)*(z + 4)/11
Let t(u) be the first derivative of u**4/7 + 4*u**3/3 + 12*u**2/7 + 27. Factor t(z).
4*z*(z + 1)*(z + 6)/7
Let g = 6 + -3. What is v in -5*v**2 + 2*v**g - 4*v + 0*v**2 + 7*v**2 = 0?
-2, 0, 1
Let d be (9 - 72/(-60)) + 22/(-10). Solve -d*c + 2/3*c**5 - 2*c**4 + 22/3*c**2 + 8/3 - 2/3*c**3 = 0.
-2, 1, 2
Let w be (-16)/(-14)*-4*(-147)/168. Determine x so that 0 - 2/3*x**5 + 2/3*x**3 + 0*x - 4/3*x**w + 4/3*x**2 = 0.
-2, -1, 0, 1
Suppose -17*z = -22*z + 2*u + 42, -2*u - 12 = -2*z. Let s be (-76)/56 + (25/z - 0). Factor 0 + s*a + 2/7*a**3 - 8/7*a**2.
2*a*(a - 2)**2/7
Let o(p) be the third derivative of -p**8/224 + 3*p**7/140 + p**6/80 - 11*p**5/40 + 3*p**4/4 - p**3 - p**2 + 82*p. Determine z, given that o(z) = 0.
-2, 1, 2
Let b = 6 - 1. Suppose 0 = b*w + 5*n - 35, 0 = -0*w - 4*w - 2*n + 20. Factor -2/3 - 2/3*s**4 - 8/3*s**w - 4*s**2 - 8/3*s.
-2*(s + 1)**4/3
Let u(j) = 9*j**3 + 3. Let w(s) = -25*s**3 + 2*s**2 - s - 8. Let p(b) = -8*u(b) - 3*w(b). Determine o, given that p(o) = 0.
0, 1
Let h(u) be the third derivative of u**7/1260 - u**6/30 + 3*u**5/5 - 6*u**4 - 5*u**3/6 - 9*u**2. Let n(r) be the first derivative of h(r). Factor n(t).
2*(t - 6)**3/3
Let x(g) = 2*g - 30. Let z be x(19). Factor h - 16*h**2 + 35*h + 12*h - z*h**2 - 21*h**3 - 3*h**4.
-3*h*(h - 1)*(h + 4)**2
Suppose 0 + 2 = n. Suppose -2 = -2*b - 2*b + n*u, u + 4 = 5*b. Factor 8 - 15*j - 3 + b - 21*j**2.
-3*(j + 1)*(7*j - 2)
Let y be 195/26 - 2/(-4). Find w such that -y*w**2 + 4*w**2 - 20*w + 5*w**3 - 11*w**2 = 0.
-1, 0, 4
Let q(p) be the third derivative of -p**7/840 + p**6/160 - p**4/24 - 36*p**2 - 2. Solve q(h) = 0 for h.
-1, 0, 2
Suppose 4205*k = 4270*k. Factor k + 1/4*u**2 + 7/4*u.
u*(u + 7)/4
Suppose 94*o - 96*o - 2*d - 6 = 0, -5*o + 12 = -4*d. What is z in -12/11*z**4 + o + 32/11*z + 2/11*z**5 + 48/11*z**2 + 2/11*z**3 = 0?
-1, 0, 4
Let v = 74 + -187. Let r = v - -118. Factor -1/9*b**4 + 4/9 - 1/9*b**r - 8/9*b + 1/9*b**2 + 5/9*b**3.
-(b - 1)**3*(b + 2)**2/9
Let i(c) = -c**3 - 5*c**2 - 4*c - 60. Let l be i(-6). Factor -4/7*k**2 - 4/7*k + l.
-4*k*(k + 1)/7
Let u(n) be the third derivative of -n**9/15120 - n**8/1008 - n**7/180 - n**6/60 + 4*n**5/15 - 15*n**2. Let k(w) be the third derivative of u(w). Factor k(i).
-4*(i + 1)**2*(i + 3)
Suppose -4577 = 3*r - 4583. Let q(h) be the first derivative of -r*h**2 - 10 - 4*h + h**3 + h**4 + 1/5*h**5. Find g such that q(g) = 0.
-2, -1, 1
Let r(k) be the first derivative of -k**6/12 + k**5 - 9*k**4/2 + 9*k**3 - 27*k**2/4 - 445. Factor r(o).
-o*(o - 3)**3*(o - 1)/2
Let o = -25 + 10. Let z = -13 - o. Let 1 - 3 - z*f**2 - 2*f + 6*f = 0. What is f?
1
Suppose -2*x - 5 = 5*s, -4*s - 6 = -0*x + 2*x. Suppose 4*f + 3*i = 65, 2*f - 26 = -3*i - s. Solve -7*a**2 + f + 3*a**2 - 28 + 12 = 0.
-1, 1
Let t = 58 + -53. Let o(n) = -30*n**3 - 35*n**2 - 15*n - 5. Let d(w) = w**4 + 29*w**3 + 35*w**2 + 15*w + 4. Let k(g) = t*d(g) + 4*o(g). Let k(y) = 0. What is y?
-3, -1, 0
Let b be 7/(-126)*14/(-7). Let l(o) be the first derivative of -b*o**3 + 0*o - 3 + 1/24*o**4 + 1/12*o**2. Factor l(q).
q*(q - 1)**2/6
Let f(i) be the second derivative of -i**6/10 + 9*i**5/2 - 225*i**4/4 + 181*i. Factor f(b).
-3*b**2*(b - 15)**2
Let m(j) = j**2 - 6*j + 13. Let u be m(4). Let n(s) be the third derivative of 1/20*s**u - 5*s**2 + 0*s**3 + 0*s + 1/16*s**4 + 0. Determine d so that n(d) = 0.
-1/2, 0
Let y(i) be the second derivative of -i**7/42 - i**6/15 + 13*i**5/20 - 5*i**4/6 + 68*i. Factor y(l).
-l**2*(l - 2)*(l - 1)*(l + 5)
Let g(a) = -10*a - 3. Let q(v) = 70*v + 20. Let s(d) = -44*g(d) - 6*q(d). Let y(h) = -h**2 - 19*h - 12. Let n(b) = 3*s(b) + 4*y(b). Find l, given that n(l) = 0.
-3, -1
Let w(c) be the third derivative of -10/3*c**4 + 0 - 1/30*c**6 + 8/15*c**5 + 32/3*c**3 - 19*c**2 + 0*c. Find p, given that w(p) = 0.
2, 4
Let j(z) be the first derivative of 0*z**3 + 0*z**2 + 7 + 0*z - z**4 - 2/5*z**5. Factor j(h).
-2*h**3*(h + 2)
Let c = 33 + -19. Let a = c - 6. Factor 1 - 5 - 2*q**2 - q**2 + a*q - q**2.
-4*(q - 1)**2
Let x(g) = 8*g**2 + 18*g + 22. Let u(z) = -6*z**2 - 18*z - 20. Let p(l) = 3*u(l) + 2*x(l). Find b, given that p(b) = 0.
-8, -1
Let v(a) = 6*a**2 - 6*a. Let c(p) = 5*p**2 - 5*p. Let z = -13 + 19. Suppose 4 = -r + z. Let s(u) = r*v(u) - 3*c(u). Let s(t) = 0. Calculate t.
0, 1
Let b = 40 - 28. Let -f**3 + 5*f**3 - f**3 + b*f + f**3 - 16*f**2 = 0. Calculate f.
0, 1, 3
Let z be 62/(-279) - 60/(-27). What is i in 0 + 2/7*i**3 + 0*i**z - 2/7*i = 0?
-1, 0, 1
Let g(z) = -57*z**3 + 93*z**2 - 300*z - 384. Let c(h) = 67*h**3 - 94*h**2 + 300*h + 384. Let l(t) = -6*c(t) - 7*g(t). Factor l(y).
-3*(y - 4)*(y + 1)*(y + 32)
Let k be (-37 - -42 - 12) + 114/16. Find u such that k - 3/8*u**4 - 1/4*u**3 - 1/8*u**5 + 1/4*u**2 + 3/8*u = 0.
-1, 1
Factor 8/3*f**2 + 2/9*f**3 + 0 + 22/9*f.
2*f*(f + 1)*(f + 11)/9
Let p(o) = -24*o**2 - 4*o + 22. Let q(v) = -3*v**2 + 2. Let m(b) = -p(b) + 6*q(b). Solve m(i) = 0.
-5/3, 1
Let o(r) be the third derivative of -r**8/672 - r**7/21 + 23*r**6/60 - 4*r**5/5 + 7*r**2 - 11. Factor o(t).
-t**2*(t - 2)**2*(t + 24)/2
Let k(c) be the first derivative of -c**3 + 15*c**2 - 27*c - 28. Factor k(g).
-3*(g - 9)*(g - 1)
Let q be (9/42)/(6/8). Let w = 3/194 + 1143/1358. Find f such that -w - q*f**2 - 8/7*f = 0.
-3, -1
Let x(o) be the second derivative of 10*o + 1/4*o**4 - o**3 + 0*o**2 + 0. Solve x(s) = 0 for s.
0, 2
Let f(u) be the first derivative of 0*u + 1/600*u**6 + 1/10*u**4 + u**3 - 1/50*u**5 + 0*u**2 + 5. Let r(n) be the third derivative of f(n). Factor r(s).
3*(s - 2)**2/5
Let y(q) = 152*q + 1371. Let 