*3 + 7*t - 9*t**4 - 6*t**4 - 25*t**m + 8*t**3.
-5*t*(t + 1)*(t + 3)*(3*t - 1)
Let m(w) be the first derivative of -w**5/40 + w**4/72 - 16*w**2 - 31. Let x(g) be the second derivative of m(g). Let x(y) = 0. What is y?
0, 2/9
Let x(s) be the first derivative of s**3/3 + 37*s**2/2 - 38*s - 957. Factor x(m).
(m - 1)*(m + 38)
Suppose -6*h + 0*h + 552 = 0. Let z = h - 90. What is g in -3/5*g**4 + 6/5*g - 6/5*g**3 + 3/5 + 0*g**z = 0?
-1, 1
Let q be 4/28*(-2)/(-6) + (-266)/(-931). Let 0 + 1/3*u**2 + 0*u + q*u**4 + 2/3*u**3 = 0. Calculate u.
-1, 0
Let s(q) = q**2 - 3*q + 6. Let i be s(0). Factor 3 + 3*n**2 + 0*n**2 - i*n**2 + 0*n**2.
-3*(n - 1)*(n + 1)
Let p(d) be the first derivative of -2*d**3/27 + 64*d**2/9 - 14*d + 128. Suppose p(t) = 0. Calculate t.
1, 63
Determine y so that 2/17*y**2 - 28/17 + 10/17*y = 0.
-7, 2
Let p = 18 + -9. Suppose 5*d = p*d - 16. Factor 9*l**2 + 3*l - 3*l**d - 2*l**4 - 6 + l**4 + l**4 - 3*l**3.
-3*(l - 1)**2*(l + 1)*(l + 2)
Solve -9 + 3/4*k**2 - 6*k + 3/4*k**3 = 0 for k.
-2, 3
Factor 6*p**2 + 99/2 - 141/2*p.
3*(p - 11)*(4*p - 3)/2
Let y(f) be the first derivative of f**5 - 1/6*f**6 + 0*f - 9/4*f**4 - 13 + 7/3*f**3 - f**2. Factor y(h).
-h*(h - 2)*(h - 1)**3
Suppose 21*q + 2*v = 26*q - 7, -11 = 3*q - 5*v. Let a(c) be the first derivative of 5 - 1/6*c**q + c + 1/4*c**2. Factor a(r).
-(r - 2)*(r + 1)/2
Suppose 78*b**3 + 86*b**3 - 165*b**3 + 10*b**2 = 0. What is b?
0, 10
Let y be (-2)/54*3*208/(-132). Let i = 2/297 + y. Factor -2/11*g**3 + i*g + 0 + 0*g**2.
-2*g*(g - 1)*(g + 1)/11
Let y(x) be the first derivative of x**4/10 + 38*x**3/15 + 18*x**2/5 + 552. What is d in y(d) = 0?
-18, -1, 0
Let y(n) be the third derivative of 2*n**7/35 - 7*n**6/30 + 2*n**4/3 - 11*n**2 + 6. Factor y(m).
4*m*(m - 2)*(m - 1)*(3*m + 2)
Solve -92171*s**2 + 519*s - 114 + 15*s**3 + 91916*s**2 - 3*s**3 = 0.
1/4, 2, 19
Let q(c) be the first derivative of -c**8/5040 - c**7/2520 + c**6/540 + 4*c**3 - 1. Let p(s) be the third derivative of q(s). Factor p(v).
-v**2*(v - 1)*(v + 2)/3
What is r in -50/7*r**4 - 436/7*r**3 - 810/7 - 2/7*r**5 - 220*r**2 - 1962/7*r = 0?
-9, -5, -1
Let m(k) be the second derivative of 7/54*k**4 + 4/9*k**2 + 0 - 16/27*k**3 - 18*k. Let m(c) = 0. Calculate c.
2/7, 2
Factor 0 + 0*m - 3/7*m**4 - 6/7*m**3 + 9/7*m**2.
-3*m**2*(m - 1)*(m + 3)/7
Let s be ((-5)/(-20))/((-15)/(-20)). Let z(j) be the second derivative of -s*j**3 - 1/4*j**4 - 3*j - 1/60*j**6 - 1/4*j**2 + 0 - 1/10*j**5. Factor z(k).
-(k + 1)**4/2
Let 0 + 1/5*t**4 - 4/5*t - 1/5*t**2 + 4/5*t**3 = 0. Calculate t.
-4, -1, 0, 1
Factor 6*o**2 - 23*o**4 - 22*o**4 - 4*o + 16*o**3 + 51*o**4.
2*o*(o + 1)*(o + 2)*(3*o - 1)
Solve 9*n - 21/5*n**2 + 3/5*n**4 + 54/5 - 9/5*n**3 = 0.
-2, -1, 3
Factor 94/7*b**2 + 1058/7 + 2/7*b**3 + 1150/7*b.
2*(b + 1)*(b + 23)**2/7
Factor -6/7*n**2 + 2*n - 4/7.
-2*(n - 2)*(3*n - 1)/7
Let p(s) be the second derivative of 1/24*s**6 - 5/4*s**2 - 5/8*s**3 - 3*s + 3/16*s**5 + 0 + 5/48*s**4. Solve p(t) = 0.
-2, -1, 1
Let y(c) be the third derivative of c**7/525 + c**6/300 + 40*c**2 - 3. Find r such that y(r) = 0.
-1, 0
Let i be (-1 + -5)/(-3) - 62. Let s be 2/12 + (-110)/i. Find q such that 2/7*q + 0 - 2/7*q**s = 0.
0, 1
Find t such that 21833 + 105*t - 29*t - 2916*t**2 + 356*t - 21849 = 0.
2/27
Factor -132/7 + 2*r**3 + 58*r + 192/7*r**2.
2*(r + 3)*(r + 11)*(7*r - 2)/7
Solve -2*w**2 + 1/2*w**4 - w**3 + 3/2 + w = 0 for w.
-1, 1, 3
Suppose 8*p - 20 = 3*p. Suppose -3*d**4 - 4*d + 9*d**4 - 3*d**p - 2*d - 9*d**2 = 0. Calculate d.
-1, 0, 2
Let t(n) = -6*n**5 + 16*n**4 - 50*n**3 + 28*n**2 + 4*n - 4. Let l(p) = -p**5 - p**4 - p**3 + p - 1. Let q(w) = 4*l(w) - t(w). Suppose q(z) = 0. Calculate z.
0, 1, 2, 7
Let c(w) be the third derivative of 0*w + 0 + 1/168*w**6 + 1/1470*w**7 + 3/140*w**5 + 17*w**2 + 1/24*w**4 + 1/21*w**3. Let c(h) = 0. Calculate h.
-2, -1
Let k(q) = 2*q - 33. Let h be k(14). Let d be 8/(-20)*h*2. Find x, given that 12*x**2 + 5 - 2*x - 7 - d*x**3 - 10*x + 6 = 0.
1
Let r be ((4/3)/(14/(-21)))/(-1). Factor 18*x**r + x + 0*x + 0*x - 5*x + 10*x**3.
2*x*(x + 2)*(5*x - 1)
Let k(w) = -7*w + 123. Let v be k(17). Let a be 4/((-8)/(-10)) + (v - 7). Factor a*c + 2/3*c**2 - 8/3.
2*(c - 1)*(c + 4)/3
Let y be (-2)/6 + (-140)/(-60). Factor 187*o + 4*o**3 + 4*o**y + 8*o**2 - 179*o.
4*o*(o + 1)*(o + 2)
Solve 63*h**2 + 54 + 61*h**2 - 130*h**2 - 9*h + 24*h = 0 for h.
-2, 9/2
Let q(j) be the third derivative of j**8/168 - j**7/15 + 13*j**6/60 - j**5/30 - 7*j**4/6 + 8*j**3/3 + 2*j**2 + 29*j. Suppose q(x) = 0. What is x?
-1, 1, 2, 4
Suppose -41*a**2 - 202 - 100*a - 67*a**2 + 16*a**4 + 178 = 0. Calculate a.
-2, -1/2, 3
Let g be ((-12)/27)/(4/(-18)). Suppose -g*z - 423 = -427. Factor -12*t - 3*t**z - 16 - 1/4*t**3.
-(t + 4)**3/4
Suppose 0 = 4*n - 2*j - 30, -5*n = 4*j - 8*j - 42. Let s(p) be the first derivative of -p**3 - 6 - 16*p + n*p**2 + 1/16*p**4. Factor s(i).
(i - 4)**3/4
Factor 0 + 0*x - 2/3*x**4 - 11/2*x**3 - 4/3*x**2.
-x**2*(x + 8)*(4*x + 1)/6
Let f(n) be the first derivative of 1/16*n**4 + 75/8*n**2 + 125/4*n + 5/4*n**3 + 28. Determine b, given that f(b) = 0.
-5
What is a in -9/2*a**2 + 12 - 69/2*a = 0?
-8, 1/3
Let p(w) = 11*w + 10. Let i be p(10). Suppose 0 = 5*x - i - 0. Determine n so that -8 - 4 - 13*n**2 - 2*n**2 + x*n + 2*n**3 + n**3 = 0.
1, 2
Let u be (-18)/(-12)*(-14)/(-147). Let d(v) = v**3 - 13*v**2 - 13*v - 14. Let y be d(14). Suppose 1/7*c**3 + 0 + y*c**2 - u*c = 0. What is c?
-1, 0, 1
Let f(i) be the first derivative of i**6/480 - i**5/60 + i**4/24 + 5*i**2 + 16. Let o(p) be the second derivative of f(p). Find b such that o(b) = 0.
0, 2
Let k(m) be the third derivative of m**8/171360 - m**7/14280 + m**6/3060 + 7*m**5/60 - 12*m**2. Let v(y) be the third derivative of k(y). Factor v(p).
2*(p - 2)*(p - 1)/17
Let d be -3 - 1 - 120/(-10). Factor -27*r + d - 10*r**3 - 2 + 36*r**2 + r**3 - 6*r**3.
-3*(r - 1)**2*(5*r - 2)
Let n be 5 - (-39)/((-91)/7). Let c(m) be the third derivative of 5*m**n + 0 + 0*m - 5/12*m**4 - 2/3*m**3 - 1/15*m**5. Solve c(p) = 0 for p.
-2, -1/2
Let d = -42 - -198. Let u be ((-416)/d)/(-2 + (1 - 1)). Factor -4/3*v**2 + 0 - u*v.
-4*v*(v + 1)/3
Solve -31/2*o + 17/2*o**2 - 1/2*o**3 + 15/2 = 0.
1, 15
Let f(a) be the first derivative of -2*a**4 - 20*a**3/3 - 2*a**2 + 8*a - 22. Factor f(r).
-4*(r + 1)*(r + 2)*(2*r - 1)
Factor z - 3/2*z**2 + 1/4*z**4 + 5/4 - z**3.
(z - 5)*(z - 1)*(z + 1)**2/4
Let i(s) be the second derivative of s**10/10080 - s**9/2520 - s**8/2240 + s**7/420 + 2*s**4/3 + 6*s. Let j(p) be the third derivative of i(p). Factor j(a).
3*a**2*(a - 2)*(a - 1)*(a + 1)
Let g be (4/8)/((-1)/(-6)). Factor 4*q**g - 4*q**4 + 2*q**2 - 29*q + 25*q + 2*q**2.
-4*q*(q - 1)**2*(q + 1)
Factor -1/3*a**2 - 32/3 + 4*a.
-(a - 8)*(a - 4)/3
Determine c, given that -21/2 - 16*c - c**2 - 1/2*c**4 + 4*c**3 = 0.
-1, 3, 7
Let q(l) be the third derivative of 1/12*l**4 + 0*l**3 + 1/60*l**5 + 0 + 0*l + 4*l**2. Let q(s) = 0. What is s?
-2, 0
Let m be (-1)/(-16)*(-354)/413. Let o = 127/280 + m. Factor 0 - 2/5*w**4 - o*w + 2/5*w**2 + 2/5*w**3.
-2*w*(w - 1)**2*(w + 1)/5
Let w = 52 - 31. Let w - 9 + 33*i**2 + 16*i - 29*i**2 = 0. Calculate i.
-3, -1
Let k(u) = u**2 + u - 6. Let q be 27*1/(4 + -3). Let a = -33 + q. Let d(x) = -2*x**2 - 2*x + 11. Let y(v) = a*d(v) - 11*k(v). Let y(s) = 0. What is s?
-1, 0
Let a(q) = -11*q**3 - 30*q**2 + 3*q + 146. Let z(c) = 25*c**3 + 60*c**2 - 5*c - 290. Let x(s) = 5*a(s) + 2*z(s). Factor x(b).
-5*(b - 2)*(b + 3)*(b + 5)
Let t(h) = -h**3 + 19*h**2 + 19*h + 25. Let q be t(20). What is g in 4*g**2 + 5*g + 36 + 18*g + 6*g - q*g = 0?
-3
Let h(u) be the first derivative of u**3/9 - 7*u**2/6 + 10*u/3 + 30. What is g in h(g) = 0?
2, 5
Suppose t + 3*t = 4. Let l be (216/27)/(10/2*t). Factor l*p**2 - 2/15*p**3 + 128/15 - 32/5*p.
-2*(p - 4)**3/15
Factor -16/5 - 28/5*q**2 - 1/5*q**4 + 9/5*q**3 + 36/5*q.
-(q - 4)*(q - 2)**2*(q - 1)/5
Let j = -2/313 - -1282/4695. Factor 0 - j*o + 2/15*o**2.
2*o*(o - 2)/15
Let q = -24 - -27. Let m(n) be the first derivative of 6*n + 7 - 9*n**2 - 7*n**q + 21*n - 2*n**3 + 10*n**3. Factor m(j).
3*(j - 3)**2
Let w be (21222/5502)/(0 + -1 - 10/(-4)). Factor 2/7*p**2 + 12/7*p + w.
2*(p + 3)**2/7
Factor 28*n**2 + 5*n + n + 2*n**3 - 6*n**3 - n**4 - 29*n**2.
-n*(n - 1)*(n + 2)*(n + 3)
Let r = 6210 + -6194. Determine z so that 1