-3, -1, 0, 1/4
Let q = -4 + 110/27. Let x(g) be the second derivative of -4*g + q*g**3 - 1/9*g**2 + 0 - 1/54*g**4. Factor x(d).
-2*(d - 1)**2/9
Let c(a) be the first derivative of -2*a**5/25 + 26*a**3/15 - 12*a**2/5 - 35. Factor c(p).
-2*p*(p - 3)*(p - 1)*(p + 4)/5
Let k(p) = -2*p**2 - 145*p - 2248. Let g be k(-50). What is f in 4/9*f + 2/9 - 4/9*f**3 - 2/9*f**4 + 0*f**g = 0?
-1, 1
Let y be (-43)/4300*8/(-5). Let a = y - -244/375. Solve 0 + 0*i + 2/3*i**2 + a*i**3 = 0.
-1, 0
Let y(a) be the second derivative of -a**6/50 + 3*a**5/100 + a**4/5 - 2*a**3/5 + 2*a + 134. Determine r so that y(r) = 0.
-2, 0, 1, 2
Let i be 4/(-3) + (-4)/(-12). Let t be (i/(-3))/((-3)/(-18)). Solve 0 - 2/7*w**3 - 2/7*w - 4/7*w**t = 0.
-1, 0
Let r(f) be the first derivative of 7*f**4 + 52*f**3/3 - 4*f**2 - 10. What is a in r(a) = 0?
-2, 0, 1/7
Let m(x) = -4*x**5 - 2*x**3 - 6*x**2 + 12. Let s(j) = -11*j**5 + j**4 - 5*j**3 - 17*j**2 + 34. Let n(t) = 17*m(t) - 6*s(t). Factor n(c).
-2*c**3*(c + 1)*(c + 2)
Let r(s) be the second derivative of 5*s**5 + 245*s**4/3 - 104*s**3/3 - 40*s**2 - s + 51. Determine u so that r(u) = 0.
-10, -1/5, 2/5
Factor 1/7*a**5 + 9/7*a**4 + 30/7*a**3 + 0 + 44/7*a**2 + 24/7*a.
a*(a + 2)**3*(a + 3)/7
Suppose 24 = -15*a + 19*a. Let t(f) be the first derivative of -5 + 3/4*f**4 + 3/5*f**5 - 3*f**3 - 3/2*f**2 + a*f. Solve t(k) = 0 for k.
-2, -1, 1
Suppose 0 = -t + 4*v - 12, 0 = -5*t + t + v - 3. Suppose t = 8*q - 4*q - 8. Determine l so that 12/7*l + 18/7 + 2/7*l**q = 0.
-3
Suppose 2*g = 4*j + 24, -5*g - 36*j = -32*j - 4. Solve 2*k**3 - 1/4*k**g + 0 - 4*k**2 + 0*k = 0.
0, 4
Factor 3*a**5 - 21*a**4 + 15 + 16*a**3 + 0*a**2 - 33*a + 6*a**2 + 14*a**3.
3*(a - 5)*(a - 1)**3*(a + 1)
Let a = 150 - 145. Suppose 3*i = 12, a*m - 3*i + 2*i = -4. Suppose -3*c**5 + m + 3*c**2 - 2/5*c + 41/5*c**4 - 39/5*c**3 = 0. Calculate c.
0, 1/3, 2/5, 1
Let j be ((-22)/4)/((-9)/18). Suppose -8*o + j*o**2 - 6 - 9*o + 8 + 4*o = 0. Calculate o.
2/11, 1
Let i be (-1)/(-3 + -5 + 5). Let r(l) be the second derivative of 1/12*l**4 + 0*l**2 + 0 + 2*l - i*l**3. Solve r(t) = 0.
0, 2
Let k = -24 + 17. Let g = k + 10. Factor 0*a - 2*a + a**g + 3*a**3 - 2*a**5.
-2*a*(a - 1)**2*(a + 1)**2
Let x be 6/21 + 32/(-14). Let u(w) = -46*w + 2. Let c be u(x). Let -c*z**3 + 15 - 4*z**2 + 37*z + 18*z**5 + 1 - 12*z**4 + 3*z + 36*z**3 = 0. What is z?
-1, -2/3, 1, 2
Let r(o) be the second derivative of -o**4/60 - 12*o**3/5 - 648*o**2/5 - 7*o + 12. Factor r(k).
-(k + 36)**2/5
Suppose -4*x - 8 = 5*t, 2*x + 5*t = 2*t - 6. Suppose 3*z = 5*d + 9, -4*d - z + x = -d. Factor -5*j + 3*j + d*j**2 + 2*j**2.
2*j*(j - 1)
Let a be 3/((-360)/(-365)) + -3. Let l(t) be the first derivative of 7 + a*t**6 + 1/20*t**5 - 5/12*t**3 + 0*t - 3/16*t**4 - 1/4*t**2. Factor l(j).
j*(j - 2)*(j + 1)**3/4
Suppose 0 = 126*p - 123*p - 15. Find w, given that -p*w**3 - 6*w**3 + w + 2*w + 8*w**3 = 0.
-1, 0, 1
Let x = -927 + 930. Factor -4/7*k**x + 2/7*k**4 + 2/7 + 2/7*k - 4/7*k**2 + 2/7*k**5.
2*(k - 1)**2*(k + 1)**3/7
Let y(o) be the first derivative of 0*o - 26 - 70*o**5 - 40/3*o**3 - 245/6*o**6 + 0*o**2 + 65*o**4. Factor y(r).
-5*r**2*(r + 2)*(7*r - 2)**2
Let u(b) = -b**2 + b. Let y(v) = -5*v**2 + 4*v. Let z be (-9)/6 + 3/((-6)/(-1)). Let s(q) = z*y(q) + 6*u(q). Find j, given that s(j) = 0.
0, 2
Let m(g) = -15*g**2 - 45*g - 6. Let i(x) = 13*x**2 + 45*x + 5. Let v(n) = -6*i(n) - 5*m(n). Solve v(r) = 0 for r.
-15, 0
Let h = 152 - 147. Let t be ((7/1)/(-28))/(h/(-24)). Factor -8/5*p**2 + t*p**3 - 6/5*p + 9/5*p**4 - 1/5.
(p - 1)*(p + 1)*(3*p + 1)**2/5
Let z(a) be the third derivative of -a**7/350 - 3*a**6/20 - 21*a**5/25 - 41*a**4/20 - 27*a**3/10 - 277*a**2. Factor z(t).
-3*(t + 1)**3*(t + 27)/5
Find q, given that -48 + 12*q**4 - 36*q**3 + 32*q + 92/3*q**2 - 4/3*q**5 = 0.
-1, 2, 3
Let i = -21 + 23. Let o(g) be the second derivative of 1/4*g**4 + 0 - 2/21*g**7 + 0*g**i - 1/6*g**3 + 3*g - 1/10*g**6 + 1/4*g**5. Solve o(j) = 0 for j.
-1, 0, 1/4, 1
Let l = -49 - -53. Let c be 8/((-192)/18) - (-5)/l. Solve -c*t - 1/4*t**2 - 1/4 = 0 for t.
-1
Let z = -148 - -163. Let m be (-3)/z*((-25)/(-15) - 5). What is g in 2/3 + 2*g**2 + m*g**3 + 2*g = 0?
-1
Factor -2/3*i**2 + 32/3*i + 0.
-2*i*(i - 16)/3
Let h(p) be the third derivative of -p**6/600 - p**5/100 - p**4/60 - 5*p**2 + 8. Factor h(g).
-g*(g + 1)*(g + 2)/5
Let b(k) = -36*k**2 + 14*k - 11. Let q(a) = 14*a - 7*a**2 + 7*a - 2 - 32*a + 14*a. Let c(j) = -2*b(j) + 11*q(j). Solve c(t) = 0 for t.
0, 1
Let j be 57/9 + -1*(-12)/(-36). Let x(n) be the second derivative of 1/39*n**3 + 1/26*n**4 + 1/195*n**j - 13*n + 0 + 3/130*n**5 + 0*n**2. Factor x(g).
2*g*(g + 1)**3/13
Factor 0 - 36/7*b**3 + 3/7*b**4 - 90/7*b - 129/7*b**2.
3*b*(b - 15)*(b + 1)*(b + 2)/7
Let m(d) = d**4 + d**3 + d**2 - 3*d. Let y(p) = p**4 + p**2 - 2*p. Let j(c) = -2*m(c) + 3*y(c). Factor j(s).
s**2*(s - 1)**2
Let y(b) be the third derivative of -b**5/330 - 13*b**4/132 + 5*b**2 + 5*b. Factor y(m).
-2*m*(m + 13)/11
Suppose 0 = 2*j - 2*z, 5*j - 6*z = -8*z. Let g(i) be the second derivative of 0*i**2 - 1/2*i**3 + 2*i + j - 1/12*i**4. Solve g(f) = 0.
-3, 0
Let a(u) = 2*u + 0*u - 4 - 4*u. Let d be a(-8). Suppose -4*t**3 + d*t**5 + 2*t - 2*t - 8*t**5 = 0. What is t?
-1, 0, 1
Suppose -2*v = -18 + 6. Let r be 8/v + 28/6. Factor -19 + 3*i**5 + 3*i**2 + 19 - r*i**3 + 3*i**3 - 3*i**4.
3*i**2*(i - 1)**2*(i + 1)
Let c(h) be the third derivative of 31*h**2 + 1/12*h**3 - 1/24*h**4 + 0*h + 0 + 1/120*h**5. Find n such that c(n) = 0.
1
Let i be (50/35)/5 - (-149)/(-7). Let l = 21 + i. What is s in 0*s**2 + 2/11*s**3 - 2/11*s + l = 0?
-1, 0, 1
Let o = -19 - -39/2. Let z = -1811 + 3623/2. Find g such that 1/2*g**2 + 1/2*g**3 - z*g - o = 0.
-1, 1
Determine p, given that 87*p**4 - 37 + 810*p**3 + 1369*p**2 + 3*p**5 - 4 - 3000*p + 41 + 731*p**2 = 0.
-10, 0, 1
Let s(l) be the third derivative of -l**7/1995 - 59*l**6/285 - 2281*l**5/95 + 7021*l**4/57 - 14161*l**3/57 - 372*l**2. Suppose s(i) = 0. Calculate i.
-119, 1
Let i = 719/528 - 5/176. Let l(u) be the third derivative of -1/2*u**4 + 1/15*u**5 + i*u**3 + 0*u + 0 + 8*u**2. Factor l(b).
4*(b - 2)*(b - 1)
Let 27*q**2 + 6*q**3 - 24*q**4 - 3 - 27/2*q**5 + 15/2*q = 0. Calculate q.
-1, 2/9, 1
Let p = 19305/7 - 2757. Factor -6/7*v - 2/7*v**3 - 2/7 - p*v**2.
-2*(v + 1)**3/7
Let n(z) = z**2 - z. Let i(l) = -5*l**3 + 20*l**2 - 5*l. Let f(w) = w + 3. Let u be f(-8). Let g(s) = u*n(s) + i(s). Factor g(m).
-5*m**2*(m - 3)
Let n be -2 + 9 + -17 + 1 - 94/(-10). Determine o, given that -n*o**4 - 6/5*o - 2*o**3 - 14/5*o**2 + 0 = 0.
-3, -1, 0
Let x(r) = -r**3 - r**2. Let v(j) = -20*j**3 - 6*j**2. Let f(b) = 2*v(b) - 44*x(b). Factor f(k).
4*k**2*(k + 8)
Let v(w) be the third derivative of -w**5/60 + w**3/6 - 364*w**2 - 1. Suppose v(k) = 0. What is k?
-1, 1
Suppose 4*q + 7*a - 2*a = 15, 0 = -5*a - 5. Let z be 20/q + (-76)/28. Determine c, given that -3/7*c**2 - 6/7 + z*c = 0.
1, 2
Find a, given that 2/9*a**3 + 34/9*a**2 - 4/3*a + 10/9*a**5 - 34/9*a**4 + 0 = 0.
-1, 0, 2/5, 1, 3
Let f be (33/15 - -1) + 20/25. Let q = -157/3 - -53. Factor -6 - f*c - q*c**2.
-2*(c + 3)**2/3
Suppose 4*w + 5*z - 13 = 0, -5*w + 5*z - 3 + 8 = 0. Let b(p) be the second derivative of 2/3*p**4 + 0 - 4*p**w + 1/5*p**5 + 9*p - 2/3*p**3. Factor b(i).
4*(i - 1)*(i + 1)*(i + 2)
Let l be (-4)/(-5 + (2 - -1)). Solve -3*c**2 + c**2 - 6*c + c**l + 2*c = 0 for c.
-4, 0
Let b be 98/(-330) + (-2 - 42/(-18)). Let t = 59/110 - b. Determine k so that t*k**2 - 1/2*k + 0 = 0.
0, 1
Suppose -n = -9*n + 24. Factor -n*s**2 + s - 2*s**2 + 4*s**2.
-s*(s - 1)
Factor 3*q**2 - 6*q - 4 + 0 - 4*q**2 + 10*q.
-(q - 2)**2
Let v(k) = 5*k + 5*k + 8*k**3 - 5 + 32*k**2 + 4*k - 2*k. Let j(x) = -3*x**3 - 11*x**2 - 4*x + 2. Let d(q) = -14*j(q) - 4*v(q). Factor d(c).
2*(c + 1)*(c + 2)*(5*c - 2)
Let i(s) be the second derivative of -1/80*s**5 - 1/8*s**3 + 9/8*s**2 - 5/48*s**4 - 4 + s. Let i(u) = 0. Calculate u.
-3, 1
Suppose -5*a - 5*d = -0*d - 100, 0 = -2*a + 2*d + 28. Suppose 0 = 19*o - a*o. Let -2/5*i**2 + 0 + o*i = 0. Calculate i.
0
Suppose 78*l - 186 = -21*l + 6*l. Let 0 + 2/3*i**4 + 0*i - l*i**2 + 4/3*i**3 = 0. What is i?
-3, 0, 1
Let u(o) be the first derivative of -o**4/4 - 2*o**3/3 + 3*o**2/2 + 25. Factor u(m).
-m*(m - 1)*(m + 3)
Let m = -8 + 35. Determine o, given that -5*o**3 - m + 27 = 0.
