**3 + u**2 + 3*u + 4. Let b(o) = 24*o**4 - 57*o**3 + 9*o**2 + 24*o + 33. Let r(s) = 4*b(s) - 33*x(s). What is q in r(q) = 0?
-1, 0, 1
Let c(m) be the first derivative of 1/13*m**2 + 0*m**3 + 0*m**5 + 1/39*m**6 + 2 + 0*m - 1/13*m**4. Find f, given that c(f) = 0.
-1, 0, 1
Factor 0*q + 4/9*q**2 - 16/9.
4*(q - 2)*(q + 2)/9
Let b(d) = -25*d**4 - 10*d**3 - 20*d - 20. Let n(j) = j**4 + j**3 + j + 1. Let w(v) = -b(v) - 20*n(v). Suppose w(a) = 0. Calculate a.
0, 2
Let q(k) be the second derivative of -3*k**7/7 - 16*k**6/15 + 2*k**5/5 - 3*k. What is p in q(p) = 0?
-2, 0, 2/9
Suppose 2/19*k**2 + 44/19*k + 242/19 = 0. What is k?
-11
Let h(k) = 2*k**2 - 2*k + 3. Let j be 1/(1*(-1)/10). Let o(n) = -6*n**2 + 6*n - 10. Let d(t) = j*h(t) - 3*o(t). Factor d(p).
-2*p*(p - 1)
Suppose -49 = 4*v - x - 0*x, -2*v + 5*x - 47 = 0. Let i = v - -18. Solve -f**3 + i*f - 7*f = 0 for f.
0
Let s(y) = -5*y + 2. Let j be s(0). What is t in 0 + 2/5*t**3 + 0*t**j + 0*t = 0?
0
Suppose 3 - 81*f**3 + 94*f**3 - 3 + 20*f**4 + 2*f**2 = 0. Calculate f.
-2/5, -1/4, 0
Let n(j) be the first derivative of -j**3 + 9*j**2/2 - 6*j - 3. Determine v so that n(v) = 0.
1, 2
Let g = 1820/9 - 202. Factor -2/3*j + g*j**2 + 4/9.
2*(j - 2)*(j - 1)/9
Let s(x) be the second derivative of x**7/42 - 7*x**6/30 + 9*x**5/10 - 5*x**4/3 + 4*x**3/3 - 7*x. Factor s(f).
f*(f - 2)**3*(f - 1)
Let d = -2/189 - -23/189. Let u(l) be the first derivative of 0*l - 2 - d*l**2 - 2/27*l**3. Factor u(j).
-2*j*(j + 1)/9
Let x(m) = m**3 + 9*m**2 + 2*m + 20. Let o be x(-9). Factor -4/7*z - 2/7*z**o + 0.
-2*z*(z + 2)/7
Factor 3/2*f**2 - 3/2 + 3/4*f - 3/4*f**3.
-3*(f - 2)*(f - 1)*(f + 1)/4
Let m be 4*-8*12/(-128). Factor -2/5*a**2 + 2/5 - 2/5*a**m + 2/5*a.
-2*(a - 1)*(a + 1)**2/5
Let r be (-22)/12 + (-1)/(-3). Let w = r + 2. Factor 1/2*y**2 + w*y - 1/2 - 1/2*y**3.
-(y - 1)**2*(y + 1)/2
Let i be (-48)/(-32)*(-12)/(-2). Let g be ((-3)/i)/(10/(-84)). Factor 2*x**2 + 6/5*x**4 + g*x**3 + 2/5*x + 0.
2*x*(x + 1)**2*(3*x + 1)/5
Factor -2*b + 4 + b + 4*b**2 - 7*b.
4*(b - 1)**2
Let o(p) = 3*p - 1. Let r be o(1). Let f be 6/r + (-3 - -3). Factor 8*u**3 - 2*u - 4*u**3 - 2*u**f - 4 + 4*u**2.
2*(u - 1)*(u + 1)*(u + 2)
Let b(i) = -i**3 - i**2 + 3*i + 5. Let y be b(-2). Factor -2/3*f**y + 5/6*f**2 + 0 + 1/6*f**4 - 1/3*f.
f*(f - 2)*(f - 1)**2/6
Let r(b) be the second derivative of b**4/9 - 2*b**3/9 + 9*b. Determine d so that r(d) = 0.
0, 1
Factor 11*f**2 - 23*f**2 - 2 + f + 13*f**2.
(f - 1)*(f + 2)
Let f(k) = -16*k**2 + 16*k - 4. Let b(j) = -j**3 - 17*j**2 + 17*j - 4. Let d(h) = -4*b(h) + 5*f(h). Factor d(r).
4*(r - 1)**3
Let z(l) be the first derivative of -l**3/6 - 3*l**2/4 + 5*l - 31. Factor z(d).
-(d - 2)*(d + 5)/2
Factor -s - 2*s**2 - 3*s**3 - 2 - 3*s + 5*s + 6*s**2.
-(s - 1)**2*(3*s + 2)
Find l, given that l**3 + 8/5*l**2 + 0 + 4/5*l + 1/5*l**4 = 0.
-2, -1, 0
Let v(u) = -u**4 + u**2. Let o(m) be the second derivative of 2*m**6/15 - m**4/4 + 3*m. Let n(c) = -o(c) - 3*v(c). Solve n(t) = 0.
0
Let n(c) be the first derivative of -c**3/9 + c**2/6 + 2. Solve n(j) = 0.
0, 1
Factor -1/4*y**4 + 1/2*y**2 + 0*y**3 + 0*y - 1/4.
-(y - 1)**2*(y + 1)**2/4
Let o(b) = -5*b**4 - 4*b**3 + 6*b**2 + 4*b - 7. Let p(s) = -4*s**4 - 3*s**3 + 5*s**2 + 3*s - 6. Let j(k) = 5*o(k) - 6*p(k). Factor j(m).
-(m - 1)*(m + 1)**3
Let u(v) be the first derivative of 2*v**4/21 + v**3/3 + 3*v**2/7 - 6*v - 7. Let a(g) be the first derivative of u(g). Factor a(o).
2*(o + 1)*(4*o + 3)/7
Suppose -6 = 3*n - 18. Suppose 4*b + 8 = -2*l, l - 3*l + 2*b + n = 0. Let l*m + 2/3*m**3 + 0*m**2 + 0 = 0. What is m?
0
Suppose -2*p - 6 = -2*y - 4*p, -3*y - 2*p + 6 = 0. Let q be (-3)/12*2*y. Factor -2/5*n**4 + 4/5*n**2 + 0*n**3 - 2/5 + q*n.
-2*(n - 1)**2*(n + 1)**2/5
Factor 4/3 + 11/3*a**2 + 8*a.
(a + 2)*(11*a + 2)/3
Let c = 5 - 2. Factor -3*q**4 - 5*q**3 + 3*q**5 + q**3 + 2*q**c + 3*q**2 - q**3.
3*q**2*(q - 1)**2*(q + 1)
Let o(q) be the third derivative of 7*q**8/60 - 2*q**7/3 + 793*q**6/600 - 199*q**5/150 + 23*q**4/30 - 4*q**3/15 - 4*q**2. Solve o(y) = 0 for y.
2/7, 1/2, 2
Let h(q) be the first derivative of -q**6/240 + q**5/60 + q**4/48 - q**3/6 + q**2 + 8. Let d(o) be the second derivative of h(o). Factor d(l).
-(l - 2)*(l - 1)*(l + 1)/2
Let k(b) be the second derivative of 0*b**2 + 0*b**3 + 1/30*b**5 + 0 + 1/9*b**4 - 1/63*b**7 + b - 2/45*b**6. Solve k(w) = 0 for w.
-2, -1, 0, 1
Let a(g) be the third derivative of 0 - 6*g**2 - 2/9*g**3 + 1/12*g**4 + 0*g + 0*g**5 - 1/180*g**6. Suppose a(o) = 0. What is o?
-2, 1
Suppose -7*l + 2*l = -5. Let w be 2/l*6/4. Factor -1 - 2 + 5 + w*j**2 + 3*j - 2*j**2.
(j + 1)*(j + 2)
Let f(a) = -8*a**4 - 4*a**2 - 4*a - 4. Let m(i) = 7*i**4 + i**3 + 3*i**2 + 3*i + 3. Let t(s) = -3*f(s) - 4*m(s). Determine u so that t(u) = 0.
-1, 0
Let t(d) = -d**2 - 7*d - 9. Let j be t(-6). Let r be j/(-108) + 6/27. Determine f so that r*f**2 + 1/2*f + 0 = 0.
-2, 0
Solve 3/2*h + 3/2*h**2 + 0 = 0.
-1, 0
Factor -5/3*t**2 + 0*t + 0.
-5*t**2/3
Let x(p) = 7*p - 35. Let u be x(5). Let s(h) be the third derivative of u*h**5 - 1/21*h**7 + 0*h**4 + 0*h**3 - 1/30*h**6 + 4*h**2 + 0*h + 0. Factor s(w).
-2*w**3*(5*w + 2)
Suppose -4*g = 3*g - 21. Factor 0*k + 0*k**2 + 0*k**g + 0 + 2/3*k**4 - 2/3*k**5.
-2*k**4*(k - 1)/3
Let f be (-16)/((280/12)/(-5)). Let -f*r**3 + 18/7*r**2 + 10/7*r**4 - 4/7*r + 0 = 0. What is r?
0, 2/5, 1
Let l(r) = -r**2 + 91*r + 301. Let s(g) = -45*g - 150. Let i(y) = 3*l(y) + 7*s(y). Determine c, given that i(c) = 0.
-7
Let n(a) be the second derivative of 3*a**5/100 + a**4/10 - a**3/10 - 3*a**2/5 + 5*a. Determine t so that n(t) = 0.
-2, -1, 1
Let -6/17*n**4 + 0 + 0*n**2 + 4/17*n**3 + 2/17*n**5 + 0*n = 0. Calculate n.
0, 1, 2
Let w(x) be the second derivative of 7*x**5/5 + 2*x**4/3 - 14*x**3/3 - 4*x**2 - 5*x. Let w(k) = 0. What is k?
-1, -2/7, 1
Let z(l) = 6*l**4 - 2*l**3 + 3*l**2 - 4*l - 5. Let a(p) = 5*p**4 - p**3 + 3*p**2 - 3*p - 4. Let c(u) = 5*a(u) - 4*z(u). Determine x so that c(x) = 0.
-1, 0
Let y(u) be the first derivative of 10/3*u**3 + u + u**5 - 5/2*u**4 - 5/2*u**2 + 2 - 1/6*u**6. What is n in y(n) = 0?
1
Let r(x) = -14*x - 96. Let f be r(-7). Let q = -2390/13 + 184. Factor 0*h + 2/13*h**f - q.
2*(h - 1)*(h + 1)/13
Let g(y) be the third derivative of -1/180*y**6 + 0 + 0*y**5 + 0*y - 4*y**2 + 0*y**3 + 0*y**4 + 0*y**7 + 1/504*y**8. Suppose g(d) = 0. Calculate d.
-1, 0, 1
Let r = -17 - 1. Let x be ((-6)/20)/(r/15). Factor x*i + 1/4*i**3 + 0 - 1/2*i**2.
i*(i - 1)**2/4
Let x be (-4)/18 + (-34)/(-72). Suppose 0 = 7*c - 25 + 4. Factor -1/4*q**c - x*q**2 + 0*q + 0.
-q**2*(q + 1)/4
Factor -1/4*f**2 + 0*f + 0.
-f**2/4
Let c(l) = l**2 - 5*l - 1. Let v(n) = -3*n. Let y(g) = 3*c(g) - 5*v(g). What is d in y(d) = 0?
-1, 1
Factor -4/5*j**3 + 28/5*j - 16/5 - 8/5*j**2.
-4*(j - 1)**2*(j + 4)/5
Let u be 8/(-6)*(-9)/6. Let g be u + (0 - 0)/(-1). Factor -2*v**2 + 4 - 2 + v**3 - g*v + v**3.
2*(v - 1)**2*(v + 1)
Let g(l) be the first derivative of 2*l**5/75 - 2*l**3/45 - 7. Factor g(s).
2*s**2*(s - 1)*(s + 1)/15
Suppose -4*g**3 - 2*g - g**4 - 3*g**2 - g**2 + 2*g = 0. Calculate g.
-2, 0
Let m be 1/(-2*3/12). Let p = 0 - m. Solve 6*l**2 - 5*l**2 + 1 - p = 0 for l.
-1, 1
Let r be (1 + -2 - -1)/2. Suppose -5*i + 0*i = r. What is k in i*k + 5*k**5 - 4*k**5 + k - 2*k**3 = 0?
-1, 0, 1
Let m(j) be the third derivative of j**6/300 - j**5/30 - 13*j**4/60 - 7*j**3/15 - 24*j**2. Determine r, given that m(r) = 0.
-1, 7
Determine w, given that 28/11*w + 2/11*w**2 + 98/11 = 0.
-7
Factor -34*s + s**2 + 8 + 3*s**2 - 26.
2*(s - 9)*(2*s + 1)
Let d(r) be the first derivative of 5 - 1/4*r**4 - 9/2*r**2 + 0*r - 2*r**3. Factor d(u).
-u*(u + 3)**2
Let i be 9/30 + (-351)/(-1430). Let -6/11*b + 4/11*b**2 + 4/11*b**3 + 2/11 - i*b**4 + 2/11*b**5 = 0. Calculate b.
-1, 1
Let y(q) be the second derivative of -q**7/280 - q**6/120 + q**5/40 + q**4/8 + q**3/3 - 3*q. Let a(v) be the second derivative of y(v). Factor a(f).
-3*(f - 1)*(f + 1)**2
Let i(p) be the third derivative of p**5/180 - p**4/18 + 2*p**3/9 - 10*p**2. Find k, given that i(k) = 0.
2
Let d(b) be the second derivative of -1/16*b**4 + 7*b + 0 - 1/2*b**2 - 1/3*b**3. Factor d(c).
-(c + 2)*(3*c + 2)/4
Factor 0 + 1/2*d**5 - 3/2*d**3 + 0*d - d**2 + 0*d**4.
d**2*(d - 2)*(d + 1)**2/2
Let a(t) be the third derivative of -2/3*t**3 + 1/20*t**6 + 1/105*t**7 + 0*t + 