 6/11*r - 6/11*r**3 = 0. What is r?
-3, -1, 0, 1
Let a = -24 - -120. Factor -16 + a*p + 0*p**4 + 24*p**3 - 3*p**4 - 72*p**2 - 32.
-3*(p - 2)**4
Let v(j) be the first derivative of -j**6/27 - 4*j**5/15 - 5*j**4/9 + 11*j**2/9 + 4*j/3 + 136. Suppose v(q) = 0. What is q?
-3, -2, -1, 1
Let z(g) = -g**3 + g**2 + 18*g - 24. Let d be z(4). Let j(s) be the first derivative of d*s**2 - 3/4*s**4 + 0*s + s**3 + 4. Solve j(w) = 0.
0, 1
Solve 66*p + 2058*p**3 - 2050*p**3 - 4 + 14 - 14*p + 50*p**2 = 0 for p.
-5, -1, -1/4
Factor 3072*m - 2*m**2 - 54782 - 2289*m - 1431*m + 2294.
-2*(m + 162)**2
Let q(f) be the second derivative of -5*f**4/72 + 185*f**3/18 - 6845*f**2/12 + 33*f. What is d in q(d) = 0?
37
Suppose 2*r + 2*a = 4, -2*a - 2 = -r + 2*a. Factor -14*o + 2*o - 12 + 0*o**2 - 2*o**2 - o**r.
-3*(o + 2)**2
Suppose 0 = -12*f + 54 + 6. Let b be (-1 - -2)*1 - -15. What is n in -f*n**2 + 36*n - b*n**3 - 5*n**4 + 3*n**2 - 32*n - 5*n**4 = 0?
-1, 0, 2/5
Let n(u) = -u**5 + u**4 - u**3 + u - 1. Let d(m) = 12*m**5 - 24*m**4 + 52*m**3 + 8*m**2 - 48*m + 16. Let i(f) = d(f) + 16*n(f). Suppose i(c) = 0. What is c?
-4, -1, 0, 1, 2
Let t(z) be the second derivative of z**5/60 + z**4/12 - 21*z**2/2 - 10*z. Let a(g) be the first derivative of t(g). Factor a(v).
v*(v + 2)
Let s be -1 + -8 + 2 - (-14)/2. Let d(f) be the first derivative of -4/27*f**3 + 2/9*f**6 + s*f + 4/9*f**5 + 0*f**2 - 3 + 1/9*f**4. Factor d(k).
4*k**2*(k + 1)**2*(3*k - 1)/9
Factor 265 - u**2 + 32 + 19 - u**2 + 154*u.
-2*(u - 79)*(u + 2)
Let q = 19 - 17. Factor -41 - 49 + 80 - 5*w + 5*w**q.
5*(w - 2)*(w + 1)
Let i(j) be the first derivative of j**5/5 - 7*j**4/4 + 2*j**3 - 152. Suppose i(z) = 0. What is z?
0, 1, 6
Let y(l) be the first derivative of 5*l**4/4 - 50*l**3/3 + 45*l**2/2 - 235. Determine a, given that y(a) = 0.
0, 1, 9
Let l(k) be the second derivative of -k**6/10 + 3*k**5/4 - 2*k**4 + 2*k**3 - 4*k - 8. Determine f, given that l(f) = 0.
0, 1, 2
Let t be (32/(-20) - -2) + 44/(-10). Let z be (t - -5 - 0) + -1. Suppose -4/7*n**2 - 2/7*n**3 + 0 + z*n = 0. What is n?
-2, 0
Let g(l) be the first derivative of 2*l + 4/9*l**3 - 7/3*l**2 - 20. Determine s, given that g(s) = 0.
1/2, 3
Suppose 112 + 40 = 4*d. Let z be (-19)/d*(1 + 42/(-2)). Factor 8/7 + z*y**2 + 48/7*y.
2*(5*y + 2)*(7*y + 2)/7
Let t(a) = a**2 - 29*a + 31. Let k be t(28). Let d(c) be the first derivative of -1/5*c + 2 + 1/15*c**k - 1/20*c**4 + 1/10*c**2. Factor d(y).
-(y - 1)**2*(y + 1)/5
Solve -5*f - 12 + 1/2*f**2 = 0.
-2, 12
Let f(k) be the first derivative of 14*k**5/5 - 22*k**4 - 74*k**3/3 + 14*k**2 - 136. Find o, given that f(o) = 0.
-1, 0, 2/7, 7
Let m(a) = -96*a**2 + 95*a**2 - 4*a**3 + a + 5*a**3. Let o(t) = t**4 - t**3 + t**2 - t. Let v(z) = -m(z) - o(z). Determine x, given that v(x) = 0.
0
Let w(y) be the second derivative of -y**6/30 - 3*y**5/20 + 3*y**4/2 + 16*y**3/3 - 48*y**2 + 6*y + 1. Factor w(z).
-(z - 3)*(z - 2)*(z + 4)**2
Let h(g) be the second derivative of 3*g**4/26 + 61*g**3/39 - 14*g**2/13 + 62*g - 2. What is r in h(r) = 0?
-7, 2/9
Suppose 4*m = -5*x + 5, 6*m - 1 = m - x. Let y = 9/2 + -77/18. Factor 0*a**2 + m + 2/9*a - y*a**3.
-2*a*(a - 1)*(a + 1)/9
Factor 1/2*t**4 - 54*t - 52*t**2 - 23/2*t**3 + 0.
t*(t - 27)*(t + 2)**2/2
Let y(d) = -29*d**3 - 611*d**2 + 1309*d - 669. Let i(q) = 7*q**3 + 153*q**2 - 327*q + 167. Let s(p) = 9*i(p) + 2*y(p). Determine c so that s(c) = 0.
-33, 1
Let q = -913 - -3657/4. Factor 1/2 + q*v - 3/4*v**2.
-(v - 2)*(3*v + 1)/4
Let v(l) be the third derivative of l**8/2688 - l**7/420 - l**6/960 + l**5/30 - l**4/16 - 12*l**2 - 19. Let v(f) = 0. Calculate f.
-2, 0, 1, 2, 3
Let u(y) be the third derivative of -y**6/210 - y**5/105 + 41*y**4/21 - 160*y**3/21 - 158*y**2. Suppose u(v) = 0. What is v?
-10, 1, 8
Suppose -l - 2 + 4 = -f, 0 = -l - 2*f + 2. Let o(z) be the third derivative of 0*z**3 - 1/12*z**4 - 1/240*z**6 + 0*z + 0 - 1/30*z**5 - 5*z**l. Factor o(c).
-c*(c + 2)**2/2
Suppose -12 = 5*z - 22. What is x in -7*x - 2*x + 9*x + 5*x**4 + 20*x**z - 20*x**3 = 0?
0, 2
Let f be (6 - 3) + -4 + (-82)/(-14). Let r = f - 33/14. Factor -3*l**2 + r*l + 1/2.
-(l - 1)*(6*l + 1)/2
Let k(f) = 16*f**2 - 15*f + 10. Let s(u) = -3*u**2 + 3*u - 2. Let c be (-3 - (1 + -6)) + 2*10. Let o(q) = c*s(q) + 4*k(q). Factor o(a).
-2*(a - 2)*(a - 1)
Let x(f) be the third derivative of f**7/1365 - 617*f**2. What is w in x(w) = 0?
0
Solve -y + 3484 + 388*y + 69*y + 4*y**2 + 8613 + 899 = 0.
-57
Let y(w) = -w**2 + 5*w + 5. Let j be y(7). Let a be (j/12)/((-21)/12). Factor a*x**3 + 0 - 1/7*x**2 + 1/7*x**5 + 0*x - 3/7*x**4.
x**2*(x - 1)**3/7
Factor -14 + 12*f**2 - 3*f**3 + 17*f + 9*f + 62 + 5*f**3 - 32*f**2.
2*(f - 8)*(f - 3)*(f + 1)
Let b(p) be the first derivative of 7/12*p**4 + 0*p**2 - 1 - 1/5*p**5 + 2/3*p**3 + 0*p. Factor b(d).
-d**2*(d - 3)*(3*d + 2)/3
Let w = -3895 - -11692/3. What is h in 26/3*h**4 + w*h**5 + 9*h**3 - 4/3*h + 4/3*h**2 + 0 = 0?
-2, -1, 0, 2/7
Suppose -2/11*i**3 + 0*i + 0 + 2/11*i**5 + 0*i**2 + 0*i**4 = 0. What is i?
-1, 0, 1
Suppose 5*k - 1222 + 1189 = -4*c, 2*k = 3*c + 4. Let z = -1 + 1. Factor 2/9*s + 2/9*s**c + z.
2*s*(s + 1)/9
Let l(a) = -a**2 + 1. Let c(g) be the first derivative of 2*g**3/3 + 9*g**2/2 - 11*g + 3. Let m(b) = -c(b) - 3*l(b). Determine k so that m(k) = 0.
1, 8
Let q(v) = -v**3 + 8*v**2 - v + 6. Let y be q(8). Let l be (24/y)/(-2) - 1. Factor -5*i**l + 6*i**4 + 0*i**2 + 3*i - 6*i**2 + 2*i**5 + 0*i**2.
-3*i*(i - 1)**3*(i + 1)
Let d(w) be the first derivative of -3*w**5/25 - 3*w**4/5 + 3*w**3/5 + 3*w**2 - 24*w/5 - 53. Suppose d(x) = 0. Calculate x.
-4, -2, 1
Let y(h) be the second derivative of h**6/30 + 3*h**5/20 - 5*h**4/12 - h**3/2 + 2*h**2 - 5*h + 3. Solve y(n) = 0.
-4, -1, 1
Let x(m) be the first derivative of -4*m**6/21 + 26*m**5/35 - 3*m**4/14 - 32*m**3/21 + 4*m**2/7 - 229. Suppose x(f) = 0. What is f?
-1, 0, 1/4, 2
Suppose 0 = 2*o + o - 4*z - 3, -4*z = 2*o - 22. Suppose -s + o = 2. Factor -2*q + 2*q**2 - q**2 - s*q**2 - 8 - 6*q.
-2*(q + 2)**2
Suppose 3*z = -z, -4*p + 2*z + 8 = 0. Suppose 0 = -38*q + 43*q - 20. Factor -78*a**3 - 36*a**2 - 24*a**p + 11*a + 13*a - 21*a**q.
-3*a*(a + 2)**2*(7*a - 2)
Factor -8/7*w**2 + 0 + 4/7*w**3 + 4/7*w.
4*w*(w - 1)**2/7
Let u(h) = 7*h**2 - 12*h + 2. Let g(z) = 13*z**2 - 23*z + 4. Let b(m) = -6*g(m) + 11*u(m). Let y be b(5). Solve 2*n**y - 3*n**3 + 0*n**3 + 9*n - 6 - 2*n**3 = 0.
-2, 1
Let f be 9/3030*248644/231. Let y = 2/707 + f. Factor -68/5*j**2 - 16*j - 16/5*j**3 - y.
-4*(j + 2)**2*(4*j + 1)/5
Let f = -4 + 6. Suppose -5*m = -48*r + 46*r + 10, 0 = 2*m + 4. Factor r*t + 2/5*t**f + 0.
2*t**2/5
Suppose 5*q + 21 = 4*q. Let a be q/12*7/(-49). Find m such that 3/4*m**3 + 5/4*m**4 - m**5 + 0 - 5/4*m**2 + a*m = 0.
-1, 0, 1/4, 1
Let k = -199 - -2389/12. Let l(g) be the first derivative of 5 - k*g**2 + 1/18*g**3 + 0*g. Let l(v) = 0. What is v?
0, 1
Factor -16/5*a**3 - 128/5 + 24/5*a**2 + 64/5*a + 2/5*a**4.
2*(a - 4)**2*(a - 2)*(a + 2)/5
Let g(y) be the second derivative of y**7/126 + 2*y**6/45 + y**5/60 - y**4/6 - 19*y - 2. Factor g(r).
r**2*(r - 1)*(r + 2)*(r + 3)/3
Let s(h) be the first derivative of h**4 - 1 + 8/3*h**6 - 4*h - 32/5*h**5 + 20/3*h**3 - 2*h**2. Solve s(x) = 0 for x.
-1/2, 1
Suppose -21 = 2*p - 53. Let s be 3 + (-4)/(p/12). Suppose 0*t + s + 4/5*t**4 + 3/5*t**5 - 2/5*t**2 - 1/5*t**3 = 0. What is t?
-1, 0, 2/3
Let g(y) be the third derivative of -1/42*y**5 + 0 + 2/21*y**4 + 4/21*y**3 + 0*y + 17*y**2. Factor g(q).
-2*(q - 2)*(5*q + 2)/7
Suppose -204 = -6*x - 216. Let z be (18/(-54))/(x/18). Factor 0 - 2/5*h**4 + 0*h - 2/5*h**z + 0*h**2.
-2*h**3*(h + 1)/5
Let q(l) = -l**3 - l - 1. Suppose 5*s - 4*g = -10, -2 = -3*s - 2*g - 8. Let o(c) = -7*c**3 - 2*c**2 - 9*c - 9. Let t(w) = s*o(w) + 18*q(w). Factor t(j).
-4*j**2*(j - 1)
Let x(i) = -i**3 + i**2 + i - 4. Let t be -2*2/3*3/2. Let z(g) = -g**3 + g**2 + g - 3. Let a(l) = t*x(l) + 3*z(l). Find c, given that a(c) = 0.
-1, 1
Let y(q) be the third derivative of 34*q**2 - 1/60*q**6 + 0 + 1/12*q**4 + 0*q + 2/9*q**3 - 1/315*q**7 - 1/90*q**5. Let y(s) = 0. Calculate s.
-2, -1, 1
Let m = -5 - 16. Let z be (m - -22) + 1/(-2). Factor z + 5/4*t**2 - 7/4*t.
(t - 1)*(5*t - 2)/4
Let j(v) be the second derivative of 53*v**6/165 - v**5/55 - 6*v + 38. Factor j(y).
2*y**3*(53*y - 2)/11
Factor 2/5*i**4 + 336/5*i**2 + 44/