 g + -30. Factor 79*m**3 + 80*m**3 - 156*m**h + 3*m**4.
3*m**3*(m + 1)
Let y be -1*((-6)/4)/(1/10). Let n be ((-1)/(y - 2))/((-1)/2). Let 4/13*c**2 - n - 2/13*c**4 + 0*c + 0*c**3 = 0. Calculate c.
-1, 1
Suppose 10*q = 11*q - 3. Factor -20*g**q + 12*g**2 + 8*g**2 + 35*g**3 - 20*g.
5*g*(g + 2)*(3*g - 2)
Let l(h) be the first derivative of -243/2*h - 27/2*h**2 + 16 - 1/2*h**3. Factor l(z).
-3*(z + 9)**2/2
Let m = -137 - -2739/20. Let j = m + 3/10. Factor -j*o**2 - 3/4*o**3 + 1/2*o + 0.
-o*(o + 1)*(3*o - 2)/4
Let k(h) be the first derivative of -12/5*h**2 - 28/5*h + 4/15*h**3 - 14. Factor k(f).
4*(f - 7)*(f + 1)/5
Suppose 4*b - 5*b = 6. Let t be (b/(-5))/3*5. Factor 2*g**t + 5*g**2 - 11*g**2 - 8*g.
-4*g*(g + 2)
Suppose -5*v = 5*q - 380, 4*v + 0*q - 4*q - 296 = 0. Let j be 10/4*v/125. Factor -3/2*b**2 - j*b**3 + 3/2 + 3/2*b.
-3*(b - 1)*(b + 1)**2/2
Factor -3481/4 - 1/4*j**2 - 59/2*j.
-(j + 59)**2/4
Suppose -v = 5*j - 395, -j + 0*j + 5*v = -79. Let r = 83 - j. Factor 9/2*p + 8*p**2 + 7*p**3 + 3*p**r + 1/2*p**5 + 1.
(p + 1)**4*(p + 2)/2
Let v = 44 + -22. Factor -22*l - l**2 + v*l.
-l**2
Factor -132*c**3 - 64*c + 17 + 6*c**2 + 55 + 134*c**3 + 4*c**2.
2*(c - 2)**2*(c + 9)
Factor 180/7 - 94/7*q + 2/7*q**2.
2*(q - 45)*(q - 2)/7
Determine t so that 0 + 1/6*t**3 - 13/6*t**2 + 0*t = 0.
0, 13
Let b be 21/(-14) + 3/6. Let i be b/(24/(-126)) - 5. Solve -y - i*y**2 - 1 = 0.
-2
Let p(h) = 356*h**3 - 413*h**2 - 28*h + 17. Let b(s) = 59*s**3 - 69*s**2 - 5*s + 3. Let g(x) = 34*b(x) - 6*p(x). Let g(z) = 0. Calculate z.
0, 1/65, 1
Let p(i) = -i**2 - 16*i + 1. Let z be p(-16). Let b be (1 - z)/(1 + 0). Solve b - 2/13*g**3 - 4/13*g**2 + 0*g = 0 for g.
-2, 0
Let z(q) = 1 + 28*q**3 - 6*q + 10 + 22*q - 8*q**3 + 25*q**2. Let t(v) = 4*v**3 + 5*v**2 + 3*v + 2. Let x(h) = 33*t(h) - 6*z(h). Determine s so that x(s) = 0.
-1, -1/4, 0
Let n be (-26)/(-8) + 5/(-80)*4. Let t be 1/9*n*4*3. Factor 4/3*w**t - w**2 - 1/3 + 5/3*w - 5/3*w**3.
(w - 1)**2*(w + 1)*(4*w - 1)/3
Suppose d = 2*d - 3. Suppose -3*w + 3 = -d. Determine i, given that 2*i + i - 4*i - i**w = 0.
-1, 0
Let h be (-387)/54 + 2/12 + 31 + -24. Solve 0*f**2 + h*f + 0*f**4 + 3/4*f**3 - 3/4*f**5 + 0 = 0 for f.
-1, 0, 1
Factor -6/5*b**2 + 1/10*b**3 + 0 + 11/10*b.
b*(b - 11)*(b - 1)/10
Let l(b) be the first derivative of 4*b**5/65 + 17*b**4/26 + 16*b**3/39 - 196. Suppose l(q) = 0. What is q?
-8, -1/2, 0
Let 0*m - 4/7*m**3 - 8/7*m**2 + 0 = 0. What is m?
-2, 0
Let n(t) be the second derivative of t**4/54 + 2*t**3/9 + 8*t**2/9 - 54*t. Factor n(l).
2*(l + 2)*(l + 4)/9
Suppose 10/9*a**3 - 22/3*a**2 - 28/9*a + 0 = 0. Calculate a.
-2/5, 0, 7
Let j(n) be the second derivative of -3*n**5/110 + 3*n**4/22 - 2*n**3/11 - 17*n - 1. Solve j(l) = 0.
0, 1, 2
Let m = -27 + 30. Let h be (5*3)/(-3 + 4). Factor -h + 10*x**3 + m + 9*x - 2*x**3 + 4*x**2 - 25*x.
4*(x + 1)**2*(2*x - 3)
Let n = -722 + 5056/7. Suppose 8/7*c**4 - 2*c**3 + 4/7*c**2 + n*c + 0 = 0. Calculate c.
-1/4, 0, 1
Let l(k) be the second derivative of -k**7/105 - k**6/20 - k**5/15 - 15*k**2 + 7*k. Let g(f) be the first derivative of l(f). What is t in g(t) = 0?
-2, -1, 0
Let b be (-5412)/(-135) + 4/5. Suppose -32*m**4 - b*m**3 + 2*m + 4/9 - 22/3*m**2 = 0. What is m?
-1, -1/4, 2/9
Let r(y) be the first derivative of -y**4/24 + 10*y + 18. Let w(d) be the first derivative of r(d). Determine f, given that w(f) = 0.
0
Let p = 59267/3764 + 4/941. Suppose -18*j**2 + 18*j - 27/8*j**5 - 15*j**3 + 12 + p*j**4 = 0. What is j?
-2/3, 2
Let x(f) = -f**2 - 14*f + 7*f + 12*f. Let a(t) = t. Let y(r) = 3*a(r) + x(r). Factor y(w).
-w*(w - 8)
Factor -1/2*x**2 + 10 + 1/2*x.
-(x - 5)*(x + 4)/2
Suppose -o = -5, 4*o + 792 - 296 = 4*s. Factor -104*w**2 + 230*w**3 + s*w**3 + 8*w - 21*w**3.
2*w*(13*w - 2)**2
Let h(w) be the second derivative of 9*w**2 + 0*w**4 + 3/20*w**5 - 7/2*w**3 + 0 + 5*w. Factor h(p).
3*(p - 2)*(p - 1)*(p + 3)
Find c such that -45/4*c**3 + 63/2*c**2 + 120*c - 288 + 3/4*c**4 = 0.
-3, 2, 8
Determine u so that 286*u**2 + 3*u**3 - 141*u**2 - 3*u - 4 + 0*u**3 - u**4 - 140*u**2 = 0.
-1, 1, 4
Suppose 3*s + 4*g - 3 = -2*s, 0 = -g - 3. Let t(i) be the second derivative of 2*i**2 + 2*i + i**s + 0 + 1/6*i**4. Solve t(x) = 0 for x.
-2, -1
Let p = 5 - 4. Suppose -u + 6*u = 3*y - p, 0 = 5*y + 2*u - 12. Determine i, given that 3*i - 3*i**3 + 6 - 5*i**2 + 0*i + 3*i**4 - 4*i**y = 0.
-1, 1, 2
Let o be (34/(-119))/(6/(252/(-30))). Factor 0 - 7/5*y**3 + o*y - y**2.
-y*(y + 1)*(7*y - 2)/5
Determine n, given that -3/5*n**3 + 0 - 102/5*n**2 + 0*n = 0.
-34, 0
Solve 48*y - 6*y**3 + 24*y**2 - 3/2*y**5 - 15/2*y**4 + 24 = 0.
-2, -1, 2
Let d(a) be the second derivative of -a**8/560 + a**6/120 + 5*a**3/6 - 2*a. Let c(g) be the second derivative of d(g). Let c(i) = 0. What is i?
-1, 0, 1
Let -8*c**3 - 18*c**2 + 22/5*c**4 + 12/5*c**5 + 8/5 - 32/5*c = 0. Calculate c.
-2, -1, 1/6, 2
Suppose b = 5*v - 18, -v = -5*b + 21 + 9. Let n be 17/(-17) - (-13)/b. Factor -n*u**2 - 9/7 + 3*u.
-3*(u - 3)*(2*u - 1)/7
Solve -14*c - 2*c - 12*c**2 + 4*c**3 - 3154 + 3202 = 0 for c.
-2, 2, 3
What is f in 0 + 0*f**2 + 0*f + 3/5*f**5 + 6/5*f**4 - 9/5*f**3 = 0?
-3, 0, 1
Let a(u) be the third derivative of -u**6/120 - u**5/60 - u**4/24 + u**3/6 + 10*u**2. Let h(r) = -4*r**3 + 2*r**2 - 2. Let c(n) = -2*a(n) + h(n). Factor c(s).
-2*(s - 2)*(s - 1)*(s + 1)
Let l(z) be the third derivative of 0*z**3 + 5*z**2 + 0 + 1/18*z**4 - 1/315*z**7 + 0*z - 1/90*z**6 + 1/90*z**5. Factor l(h).
-2*h*(h - 1)*(h + 1)*(h + 2)/3
Factor -1251*d**3 + 29*d**2 + 63 + 1245*d**3 - 138*d - 3*d**4 + 55*d**2.
-3*(d - 3)*(d - 1)**2*(d + 7)
Let q be (-527)/(-510) - 1*2/2. Let r(x) be the second derivative of q*x**4 + 0*x**2 + 0*x**3 + 0 + 2*x. What is j in r(j) = 0?
0
Let r(m) be the second derivative of 0 - 1/4*m**4 + m - 3/80*m**5 - 5/8*m**3 - 3/4*m**2. What is u in r(u) = 0?
-2, -1
Let o = -26 + 35. Suppose -6*j = -o*j + 15. Factor j + 3 - 6 - q + 1 + q**3 - 3*q**2.
(q - 3)*(q - 1)*(q + 1)
Let n(k) = -11*k**2 + 346*k + 351. Let f(q) = -10*q**2 + 345*q + 350. Let z(t) = -6*f(t) + 5*n(t). Factor z(i).
5*(i - 69)*(i + 1)
Let l(k) be the third derivative of 22*k**2 - 1/20*k**4 + 1/100*k**6 + 0*k - 1/100*k**5 + 0 + 0*k**3 + 1/350*k**7. Suppose l(t) = 0. What is t?
-2, -1, 0, 1
Let q(m) be the second derivative of -m**4/42 + 4*m**3/7 + 63*m. Solve q(c) = 0.
0, 12
Suppose -4*n - 2*f + 22 = -116, 4*n - 143 = -f. Factor 3*r**2 + 61*r**4 - 27*r**4 - n*r**4.
-3*r**2*(r - 1)*(r + 1)
Let n(z) = 5*z**3 + 44*z**2 - 55*z + 6. Let r(x) = -10*x**3 - 87*x**2 + 110*x - 13. Let y(f) = 13*n(f) + 6*r(f). Factor y(m).
5*m*(m - 1)*(m + 11)
Let s(k) be the first derivative of -1/22*k**4 + 0*k + 4/33*k**3 + 9 - 1/11*k**2. Factor s(b).
-2*b*(b - 1)**2/11
Let w(j) be the first derivative of 5*j**3/3 + 31*j**2 + 24*j - 115. Factor w(o).
(o + 12)*(5*o + 2)
Let 1/2*j**2 - 3*j + 0 + 1/2*j**3 = 0. What is j?
-3, 0, 2
Let x(u) = u**3 - 2*u + 1. Let z be x(1). Let r(l) = -2*l - 30. Let y be r(-16). Factor -2*k**4 - 3*k**4 + 15*k**y + 5*k - 10 - 5*k**3 + z.
-5*(k - 1)**2*(k + 1)*(k + 2)
Let b = -403 - -406. Let k(m) be the first derivative of -9 - 2/65*m**5 - 2/13*m - 1/39*m**6 - 1/13*m**2 + 1/13*m**4 + 4/39*m**b. Factor k(g).
-2*(g - 1)**2*(g + 1)**3/13
Determine w, given that 55*w - 2312 - 20*w + 96*w**2 - 185*w**2 + 87*w**2 + 101*w = 0.
34
Let p = -1840/231 + 96/11. Let a(f) be the first derivative of -3 - 384/35*f**5 - p*f**3 + 4/7*f - 16/3*f**6 - 52/7*f**4 + 9/7*f**2. Factor a(z).
-2*(2*z + 1)**4*(7*z - 2)/7
Suppose -6*w = -9*w + 4*d + 29, -2*w - d + 1 = 0. Let i(k) be the third derivative of 3*k**2 + 1/24*k**w - 5/96*k**4 + 1/60*k**5 + 0 + 0*k. Factor i(h).
(h - 1)*(4*h - 1)/4
Let x(n) = -n**2 + 21*n - 15. Let o be x(20). Suppose -o*h + 30 - 5 = 0. Determine r, given that 18/5*r**4 - 4/5*r**3 + 0*r - 18/5*r**h + 0 + 0*r**2 = 0.
0, 1/3, 2/3
Let j(x) be the third derivative of 5*x**8/336 - x**7/7 + 13*x**6/24 - x**5 + 5*x**4/6 - 330*x**2. Factor j(m).
5*m*(m - 2)**2*(m - 1)**2
Suppose -6*c + 37 = -23. Let -c - 32*h + 4*h**2 - 20 - 6 = 0. What is h?
-1, 9
Let h(l) be the first derivative of 49*l**3/2 - 315*l**2/2 + 675*l/2 - 192. Factor h(p).
3*(7*p - 15)**2/2
Suppose -739*v - 36 = 731*v - 1488*v. Factor 1/3*n**v + 2/3 - n.
(n - 2)*(n - 1)/3
Let v(s) be the second derivative of 3/20*s**5 + 3/2*s**3 + 0 - 