+ 13*l**6/120 + 29*l**5/80 + 11*l**4/24 - l**3/6 - l**2 + 5*l. Suppose s(i) = 0. What is i?
-2, -1, 1/2
Suppose -2*z + 20 = 3*z. Let q be (1/(-1))/(1/(-3)). What is x in 5*x**q + x**5 - 5*x**2 + x**2 + x - 4*x**z + x**3 = 0?
0, 1
Let b(q) = q**3 + 6*q**2 - 8*q - 3. Let c be b(-7). Suppose o = -o + c. Factor 2/5*v - 4/5 + 2/5*v**o.
2*(v - 1)*(v + 2)/5
Suppose 0 = -2*f + 10, -2*c + 0*f + 5 = f. Factor 2/11*u**3 + c - 2/11*u + 0*u**2.
2*u*(u - 1)*(u + 1)/11
Let b = -4 + 6. Factor 3/2*a**b - 3/2 - 3/2*a + 3/2*a**3.
3*(a - 1)*(a + 1)**2/2
Let h(r) be the first derivative of -2*r**3/3 - 3*r**2 - 7. Let h(v) = 0. Calculate v.
-3, 0
Let 10/7*c**4 - 6/7*c**3 - 10/7*c**2 + 0 - 2/7*c**5 + 8/7*c = 0. Calculate c.
-1, 0, 1, 4
Let z(j) be the third derivative of -1/84*j**4 + 0*j**3 + 1/210*j**5 + j**2 + 0 + 0*j. Solve z(s) = 0 for s.
0, 1
Let n(s) = -s**3 - 5*s**2 - 4*s + 5. Let a be n(-4). Let r = a - 3. Factor -y - r*y**2 + y.
-2*y**2
Let x be 1/(-2*28/(-48)). Determine h, given that 0 - 12/7*h**3 - x*h + 15/7*h**2 + 3/7*h**4 = 0.
0, 1, 2
Let b(u) be the third derivative of -u**6/24 - u**5/6 + 5*u**4/6 + 20*u**3/3 + 15*u**2. Factor b(n).
-5*(n - 2)*(n + 2)**2
Let l(i) be the second derivative of i**7/98 - 3*i**6/70 + 3*i**5/70 + i**4/14 - 3*i**3/14 + 3*i**2/14 - 5*i. Find a such that l(a) = 0.
-1, 1
Let s(j) = -j**3 - 6*j**2 + j - 2. Let o(l) = -l**3 - 11*l**2 + l - 3. Let n(k) = -4*o(k) + 7*s(k). What is t in n(t) = 0?
-1, 2/3, 1
Let n(v) be the third derivative of 0*v**4 + 0*v + 0 + 0*v**3 - 1/270*v**5 - 6*v**2. Suppose n(l) = 0. What is l?
0
Let q(a) be the third derivative of -a**11/110880 + a**9/20160 - a**5/20 + 2*a**2. Let y(i) be the third derivative of q(i). Solve y(l) = 0 for l.
-1, 0, 1
Suppose -q + 1 = -3*b + 4*q, -5*q + 10 = 0. Let -2*l**3 + b*l**3 - 6 + 6*l**2 + 2*l**3 - 3*l + 0 = 0. Calculate l.
-2, -1, 1
What is v in -8 - 2*v**3 + 8 + 4*v**2 = 0?
0, 2
Let z(n) be the first derivative of -n**3/6 + n**2/4 + n + 6. Let z(h) = 0. Calculate h.
-1, 2
Let q(h) be the second derivative of 2*h**3 + 0 - 3/2*h**2 - 1/10*h**6 - 2*h - 3/2*h**4 + 3/5*h**5. Factor q(a).
-3*(a - 1)**4
Let c(p) be the third derivative of p**8/560 + p**7/140 + p**6/120 + 4*p**3/3 + 8*p**2. Let r(y) be the first derivative of c(y). Suppose r(o) = 0. Calculate o.
-1, 0
Factor -2/7*v**2 - 32/7 - 16/7*v.
-2*(v + 4)**2/7
Let g(u) be the third derivative of -u**5/100 - 3*u**4/10 - 18*u**3/5 + 2*u**2. Factor g(j).
-3*(j + 6)**2/5
Let t = 9 - 7. Let y = t + -2. Factor 4 + w**2 - 5 + y.
(w - 1)*(w + 1)
Let k(r) be the third derivative of -r**5/30 + r**4/4 + 4*r**3/3 + 10*r**2. Factor k(j).
-2*(j - 4)*(j + 1)
Suppose 1/2*h**2 - 2*h**4 + 1/4*h**3 + 0 + 5/4*h**5 + 0*h = 0. What is h?
-2/5, 0, 1
Let v(q) = 6*q - 16 - 2*q - q. Let w be v(6). What is b in -2/3 - 8/3*b + 4/3*b**w + 16/3*b**3 - 2/3*b**4 - 8/3*b**5 = 0?
-1, -1/4, 1
Let w(q) be the first derivative of q**3/21 - 4*q**2/7 + 16*q/7 - 8. Determine a, given that w(a) = 0.
4
Let z(o) = -o**4 - o**3 - 1. Let n(w) = 32*w**5 - 148*w**4 + 222*w**3 - 152*w**2 + 42*w - 8. Let f(h) = -n(h) + 4*z(h). Solve f(u) = 0.
1/4, 1, 2
Let l(r) be the first derivative of -2*r**6/3 - 4*r**5/5 + r**4 + 4*r**3/3 + 2. Factor l(w).
-4*w**2*(w - 1)*(w + 1)**2
Let v = 404 - 404. Suppose -1/4*b**4 + 0*b**2 - 1/2*b**3 + v + 0*b = 0. What is b?
-2, 0
Let r(q) = 6*q**4 - 24*q**3 - 19*q**2 + 65*q + 61. Let k(j) = -2*j**4 + 8*j**3 + 6*j**2 - 22*j - 20. Let v(l) = -14*k(l) - 4*r(l). Factor v(t).
4*(t - 3)**2*(t + 1)**2
Suppose 0 + 2/3*f**4 + 1/3*f**5 + 0*f**3 - 1/3*f - 2/3*f**2 = 0. Calculate f.
-1, 0, 1
Solve 76*c**4 - 3*c**2 - 16*c + 48*c**3 + 10*c + 3*c - 28*c**4 = 0 for c.
-1, -1/4, 0, 1/4
Let y(k) be the first derivative of -k**4/4 - 2*k**3/3 - k**2/2 - 12. Factor y(d).
-d*(d + 1)**2
Let n = -3 - -6. Factor 2*b**5 - 24*b**4 - 12*b**5 - 5*b**2 + b**2 - 18*b**n.
-2*b**2*(b + 1)**2*(5*b + 2)
Let x(c) = 19*c**2 - 13*c - 6. Let s(b) = 3*b**2 - 2*b - 1. Let t(o) = -39*s(o) + 6*x(o). Factor t(a).
-3*(a - 1)*(a + 1)
Let g(q) be the second derivative of q**6/30 - q**5/20 - 4*q. Solve g(r) = 0.
0, 1
Suppose -8*q + 20 = 4. Find p, given that -1/2 + 1/4*p**q + 1/4*p = 0.
-2, 1
Let f(r) be the first derivative of r**5/25 + r**4/10 - r**2/5 - r/5 + 3. Let f(m) = 0. Calculate m.
-1, 1
Let o(f) = -43*f**4 + 103*f**3 - 99*f**2 + 31*f - 4. Let a(j) = -216*j**4 + 514*j**3 - 496*j**2 + 154*j - 20. Let h(k) = 3*a(k) - 16*o(k). Solve h(x) = 0 for x.
1/4, 2/5, 1
Let c(o) be the third derivative of -o**7/105 - o**6/20 + o**5/30 + o**4/4 + 23*o**2. Solve c(y) = 0 for y.
-3, -1, 0, 1
Let z be (-3 - -5)*-1 + (-12)/(-2). Factor 0 + 0*k - 4/7*k**2 + 2/7*k**5 - 8/7*k**z + 10/7*k**3.
2*k**2*(k - 2)*(k - 1)**2/7
Let r(q) be the second derivative of q**6/15 - q**5/10 - q**4/2 + q**3/3 + 2*q**2 - q. Solve r(w) = 0.
-1, 1, 2
Let b be (-39)/12 + 3/(-4). Let f be (35/10 - 4)*b. What is u in 0 + 2/5*u + 2/5*u**f = 0?
-1, 0
Let m(a) be the second derivative of 0 + 1/20*a**4 + 0*a**2 - 2*a - 3/100*a**5 + 1/150*a**6 - 1/30*a**3. Solve m(y) = 0.
0, 1
Let b(a) be the second derivative of -a**6/1260 + a**5/420 + a**4/42 - 4*a**3/3 - 4*a. Let j(p) be the second derivative of b(p). Factor j(c).
-2*(c - 2)*(c + 1)/7
Let y = 1 - -2. Suppose -5*i - 4*f = -20, -i + 0*f + 3*f = 15. Solve i*q**2 + 2*q**y + q**2 + q**2 = 0.
-1, 0
Suppose 18*a - 75*a**2 + 12*a**3 - 48 + 48 = 0. Calculate a.
0, 1/4, 6
Let r(n) be the first derivative of -5*n**3/3 + 15*n**2/2 - 10*n + 19. Factor r(f).
-5*(f - 2)*(f - 1)
Factor 4*i**3 + 12 - 32 + 5*i**2 - 25*i + i**3 + 5*i.
5*(i - 2)*(i + 1)*(i + 2)
Let a(c) = c**4 + 19*c**3 + 150*c**2 + 159*c + 49. Let j(g) = -4*g**3 - 30*g**2 - 32*g - 10. Let p(v) = -4*a(v) - 22*j(v). Determine k, given that p(k) = 0.
-1, 6
Let v(k) be the first derivative of -1/96*k**4 + 0*k + 1/12*k**3 - 3 - 1/240*k**5 - 1/2*k**2. Let g(u) be the second derivative of v(u). Factor g(c).
-(c - 1)*(c + 2)/4
Find l such that 14/9*l + 0*l**2 - 4/3 - 2/9*l**3 = 0.
-3, 1, 2
Let j(o) be the first derivative of o**4/24 + o**3/2 + 9*o**2/4 - 2*o - 8. Let t(b) be the first derivative of j(b). Let t(l) = 0. What is l?
-3
Let h(x) = x**2 + 2*x + 2. Suppose o = 6*o + 15. Let g be h(o). Find r such that -r**3 - 1 + 0 + r**g + 1 = 0.
-1, 0, 1
Suppose 2*q = 3*q - 4*o + 12, 0 = 3*o - 12. Suppose -4/5 + 14/5*a**q + 6*a**2 - 38/5*a**3 - 2/5*a = 0. What is a?
-2/7, 1
Let u(i) be the first derivative of i**6/36 + i**5/6 + i**4/8 - 5*i**3/18 - i**2/3 + 44. Determine q, given that u(q) = 0.
-4, -1, 0, 1
Let x(z) = z**2 + 8*z - 7. Let c(m) = -m**3 - 12*m**2 - 9*m + 13. Let y be c(-11). Let v be x(y). Find h, given that h + v*h**3 - 4 - 4*h**3 + 5*h + 0 = 0.
-2, 1
Let m(y) = -y**3 - 7*y**2 + 2. Suppose 3*p + 17 = -3*w - 7, -3*p = 2*w + 17. Let f be m(w). Factor 2/3 + 2/3*r**f + 4/3*r.
2*(r + 1)**2/3
Let d(w) be the third derivative of w**9/15120 - w**8/3360 + w**7/2520 + w**4/24 + w**2. Let y(m) be the second derivative of d(m). Factor y(k).
k**2*(k - 1)**2
Let j be 2/(9 - (5 - 1)). Let b(t) be the first derivative of 2 - j*t**2 - 1/10*t**4 - 2/5*t**3 + 0*t. Factor b(x).
-2*x*(x + 1)*(x + 2)/5
Let 4/15*w**3 + 0*w + 2/15*w**4 + 2/15*w**2 + 0 = 0. Calculate w.
-1, 0
Let n(q) = -31*q**3 + 28*q**2 + 43*q - 5. Let k(x) = 8*x**3 - 7*x**2 - 11*x + 1. Let w(d) = 22*k(d) + 6*n(d). Let w(r) = 0. Calculate r.
-1, 2/5, 2
Let o = -436 + 4801/11. Let s = -4/33 + o. Suppose -s - 1/3*l**2 - 2/3*l = 0. Calculate l.
-1
Suppose -5*h - 2*c + 7 = 1, -2*h = 2*c. Let a = 11 + -9. Find k such that -46*k**4 - 54*k**3 - 4*k - 30*k**h - 14*k**5 + 0*k + 4*k**a = 0.
-1, -2/7, 0
Suppose -u = -0*u - 24. Let k(w) = -w**3 - w**2 + 5*w - 27. Let r(j) = -3. Let a(x) = u*r(x) - 3*k(x). Factor a(m).
3*(m - 1)**2*(m + 3)
Factor 5*c**2 + 819*c - 807*c - 2*c**2.
3*c*(c + 4)
Factor 3/7*u**4 + 0*u**3 + 0*u - 3/7*u**2 + 0.
3*u**2*(u - 1)*(u + 1)/7
Solve 4/15 - 8/15*y**2 - 2/15*y + 4/15*y**4 + 4/15*y**3 - 2/15*y**5 = 0.
-1, 1, 2
Let a(w) be the second derivative of w**7/56 - w**6/40 - 9*w**5/20 + 7*w**4/4 - 2*w**3 - 11*w. Suppose a(k) = 0. What is k?
-4, 0, 1, 2
Let m = -12 - -16. Factor m - x**2 - 2*x - 4 + 3 - 4.
-(x + 1)**2
Factor 2/3*y**3 + 40/3*y + 16/3*y**2 + 32/3.
2*(y + 2)**2*(y + 4)/3
Let g be (-13)/(-35) - (-2)/10. Determine b so that 2*b - g - 10/7*b**2 = 0.
2/5,