at is f?
0
Factor 9/2*b**2 - 3/2*b**3 + 0 - 3*b.
-3*b*(b - 2)*(b - 1)/2
Let q(u) be the first derivative of -40*u**5/11 + 5*u**4/22 + 46*u**3/11 - 32*u**2/11 + 8*u/11 - 3. Find n, given that q(n) = 0.
-1, 1/4, 2/5
Suppose 6*r + 5*w + 13 = 2*r, 3*r - 2*w - 19 = 0. Factor 2/3*h**r + 2/3*h**4 - 2/3*h**2 - 2/3*h + 0.
2*h*(h - 1)*(h + 1)**2/3
Suppose -2*d - 2 = -3*a + 3*d, 5*a + 7 = -2*d. Let p be (-1)/((-1)/((-2)/a)). Factor -2 - t**2 + 3*t + 5*t**p + 1.
(t + 1)*(4*t - 1)
Let r = -105 - -105. Let u(d) be the second derivative of 0 + 0*d**4 + 1/20*d**5 + 2*d - 1/6*d**3 + r*d**2. Factor u(t).
t*(t - 1)*(t + 1)
Let s be ((-12)/(-75))/(1 + (-16)/20). Factor s*i**3 + 2/5*i**5 - 6/5*i**4 + 4/5*i**2 - 6/5*i + 2/5.
2*(i - 1)**4*(i + 1)/5
Let c(x) = 7*x**2 + 3*x - 4. Let s(r) = -13*r**2 - 6*r + 7. Suppose 11 = -3*z + 4*z. Let g(b) = z*c(b) + 6*s(b). Factor g(a).
-(a + 1)*(a + 2)
Let a = -14 - -46/3. Let 1/3*u**2 + 0 - a*u**4 + u**3 + 0*u = 0. What is u?
-1/4, 0, 1
Let i(b) = -b**2 - 6*b - 6. Let z be i(-4). Solve 142*g**z - 142*g**2 + 3*g - 3*g**3 = 0 for g.
-1, 0, 1
Let b be ((-4)/15)/(390/(-25)). Let w = b - -109/468. Let -3/4*k**2 - w + 3/4*k + 1/4*k**3 = 0. Calculate k.
1
Suppose -3*q + 0 + 6 = 0. Suppose -q*l + 4*x + 24 = 0, -l - 5*x = 4*l. Factor 6*n**l - 4*n**3 - 4*n**4 + 4*n - 4 + 2.
2*(n - 1)**3*(n + 1)
Let u(d) be the third derivative of 4*d**7/735 + d**6/84 + d**5/210 - 9*d**2. Factor u(x).
2*x**2*(x + 1)*(4*x + 1)/7
Let u(b) be the second derivative of b**5/60 - 3*b**4/32 + b**3/12 + 5*b**2/2 + 3*b. Let o(h) be the first derivative of u(h). What is k in o(k) = 0?
1/4, 2
Let v be (8/(-1 - 1))/(-1). Let t(z) be the second derivative of 0 + 1/18*z**v - 1/3*z**2 + 2*z - 1/6*z**3 + 1/20*z**5. Determine n, given that t(n) = 0.
-1, -2/3, 1
Let y = -11 + 14. Suppose -k - 5 = 0, -y*m - 3*k - 15 = -0*m. Factor 2/3*j**3 + m*j - 1/3*j**4 + 0 - 1/3*j**2.
-j**2*(j - 1)**2/3
Let j = -83/3 + 28. Let x(a) be the first derivative of -2 + 0*a - a**2 - j*a**3. Factor x(q).
-q*(q + 2)
Solve 213/7*t**3 - 24/7 - 330/7*t**2 + 156/7*t + 60/7*t**4 - 75/7*t**5 = 0.
-2, 2/5, 1
Let z be ((-22)/(-66))/((-10)/(-72)). Determine m, given that -6/5 - 39/5*m**3 + 51/5*m**2 + z*m**5 - 9/5*m**4 - 9/5*m = 0.
-2, -1/4, 1
Let i be 4/14 - (-38)/14. Suppose -12*h = -14*h + 4. Solve 2/3 + 2/3*y + 2*y**i - 10/3*y**h = 0.
-1/3, 1
What is u in u**2 - 6 + 2 + 2 + 0 + u = 0?
-2, 1
Let k(a) be the first derivative of a**8/168 - a**6/15 + a**5/15 + a**4/4 - 2*a**3/3 - a**2/2 + 2. Let b(w) be the second derivative of k(w). Factor b(j).
2*(j - 1)**3*(j + 1)*(j + 2)
Let n(s) = -s**2 + 30*s - 194. Let x(a) = a + 1. Let k(h) = 5*n(h) - 10*x(h). What is c in k(c) = 0?
14
Let a = -30 + 19. Let d = a + 16. Let p(q) = q**4 - q**3 - 7*q**2 + q + 6. Let l(t) = -t**4 + t**3 + 6*t**2 - t - 5. Let o(r) = d*p(r) + 6*l(r). Factor o(x).
-x*(x - 1)**2*(x + 1)
Let s(b) be the second derivative of -b**6/120 + b**5/40 + 2*b**3/3 - b. Let h(t) be the second derivative of s(t). Factor h(c).
-3*c*(c - 1)
Let t = 478 - 478. Factor -1/2*o**4 - 1/2*o**5 + t*o + 0 + 0*o**2 + 0*o**3.
-o**4*(o + 1)/2
Suppose -l - 2*l + 6 = 0. Factor -3 + 0*r**2 + 2*r**l - 4*r + 5.
2*(r - 1)**2
Let a(r) be the first derivative of -1/2*r**4 + 0*r + 2 + 0*r**2 - 2/5*r**5 + 4/3*r**3. Factor a(j).
-2*j**2*(j - 1)*(j + 2)
Factor 2*d**2 + 5*d**4 - 2*d**4 - 2*d**3 + 2*d**5 - 5*d**4.
2*d**2*(d - 1)**2*(d + 1)
Let d = 87/280 + -1/40. Find x, given that d*x**2 + 0*x - 2*x**3 + 16/7*x**4 + 0 + 32/7*x**5 = 0.
-1, 0, 1/4
Let v = -19 + 24. Let h(o) be the third derivative of 0*o**6 + 0*o**4 + 0 + 0*o - 1/672*o**8 - 1/420*o**7 + 0*o**3 + o**2 + 0*o**v. Find l such that h(l) = 0.
-1, 0
Find z such that 4/5*z**5 + 0 - 8/5*z**3 + 0*z**4 + 4/5*z + 0*z**2 = 0.
-1, 0, 1
Let v(i) be the first derivative of i**4/4 + i**3 + i**2 + 3. Factor v(d).
d*(d + 1)*(d + 2)
Suppose 4 = 2*w + t, 4*t + 1 = -2*w - 1. Let m(a) = a**2 - a - 4. Let z be m(w). Let 1/2 + 1/2*j**z + j = 0. Calculate j.
-1
Let q(v) = 11*v**5 - 17*v**4 - 2*v**3 + 14*v**2 - 9*v + 11. Let i(s) = -4*s**5 + 6*s**4 + s**3 - 5*s**2 + 3*s - 4. Let h(n) = 8*i(n) + 3*q(n). Factor h(u).
(u - 1)**4*(u + 1)
Let k = 5 - -3. Let l = k + -31/4. Factor -l*s**4 + 0 + 0*s + 1/4*s**3 + 0*s**2.
-s**3*(s - 1)/4
Determine r so that -20/7*r**2 + 18/7*r + 6/7*r**3 - 4/7 = 0.
1/3, 1, 2
Let j(f) = f**2 + f. Let o(q) = -4*q**2 + 6*q - 6. Let t(u) = -2*j(u) - o(u). Factor t(l).
2*(l - 3)*(l - 1)
Suppose 0 = -2*b - 0*b + 6. Suppose -5*i + 4 = 4*o, 20 = -b*i + 7*i - o. Factor -8 - f**2 + 3*f + 10 - i*f.
-(f - 1)*(f + 2)
Let d be ((-3)/(-5))/((-2)/(-20)). Factor 3 + 5*b**2 - 2*b**2 - d.
3*(b - 1)*(b + 1)
Suppose -1 = -3*h - n, 5*h + 4*n = 3*n + 1. Let s = -23 + 25. What is u in -2/3*u**4 + 10/9*u**3 + 2/3*u**s + h - 2/9*u - 8/9*u**5 = 0?
-1, 0, 1/4, 1
Determine o so that -6*o**2 + o**5 + 9*o - 6*o**5 + 9*o**4 - 3 - 6*o**3 + 2*o**5 = 0.
-1, 1
Suppose 0 = -2*b + 7*b - 65. Solve -8*s - 4 - s**4 + 0*s - 4*s + 4*s**3 - 10*s**3 - b*s**2 = 0 for s.
-2, -1
Factor -9*o - 3*o**5 - o**5 + 8*o**3 + 5*o.
-4*o*(o - 1)**2*(o + 1)**2
Suppose 2*t - 1 - 3 = 0. Solve 7*q**t + 3*q**3 - 3*q**2 - 8*q + q**3 = 0 for q.
-2, 0, 1
Let f = -167/7 + 613/21. Factor -f*t - 32/3 - 2/3*t**2.
-2*(t + 4)**2/3
Let m(h) be the third derivative of h**9/1260 + h**8/168 + 2*h**7/315 - 2*h**6/45 - h**4/6 + 4*h**2. Let r(k) be the second derivative of m(k). Factor r(q).
4*q*(q + 2)**2*(3*q - 2)
Let f(j) be the second derivative of 7/60*j**5 - 1/18*j**4 - 3*j + 2/45*j**6 + 0*j**2 + 0*j**3 + 0. Suppose f(l) = 0. What is l?
-2, 0, 1/4
Let z(g) be the second derivative of g**5/60 + g**4/18 - g**3/18 - g**2/3 - 5*g. Suppose z(k) = 0. Calculate k.
-2, -1, 1
Let a be (3 - 1)*9/2. Let y = -3 + a. Let y*d**4 - 4*d + 7*d**2 - 21*d**3 + 25*d**5 + 13*d**2 - 26*d**4 = 0. Calculate d.
-1, 0, 2/5, 1
Let y(h) = -11*h**4 - 13*h**3 - 23*h**2 - h + 5. Let w(a) = 27*a**4 + 33*a**3 + 57*a**2 + 3*a - 12. Let v(q) = 5*w(q) + 12*y(q). Let v(t) = 0. Calculate t.
-1, 0
Let q(s) be the second derivative of s**7/168 - s**6/60 + s**4/24 - s**3/24 + s. Solve q(o) = 0.
-1, 0, 1
Let y(k) be the first derivative of -k**5/15 - k**4/2 - 4*k**3/3 - k**2 + 4. Let p(f) be the second derivative of y(f). Factor p(s).
-4*(s + 1)*(s + 2)
Let y(p) be the second derivative of p**4/6 - 14*p**3/3 + 49*p**2 - 48*p. Factor y(s).
2*(s - 7)**2
Let h(q) = q**3 + 3*q**2 + 4. Let r be h(-3). Factor 1 - 2*a**3 + 4*a**4 + 2*a**r - 1.
2*a**3*(3*a - 1)
Let s(h) be the second derivative of h**7/210 - 7*h**5/100 - h**4/10 - 48*h. Factor s(t).
t**2*(t - 3)*(t + 1)*(t + 2)/5
Solve -13 + 15*f + 4*f**2 + 16 - 2*f = 0 for f.
-3, -1/4
Let t be (-6)/(-9) - 20/48. Find l, given that t*l**2 - 1/2 - 1/4*l = 0.
-1, 2
Let d = -12119/11 + 1103. Determine h, given that -d*h + 14/11*h**3 + 6/11*h**2 + 4/11 - 10/11*h**4 = 0.
-1, 2/5, 1
Suppose 4*c + c + 20 = 0. Let y be c/(-20) + (-2)/10. Factor y*n + 2/5*n**2 - 2/5.
2*(n - 1)*(n + 1)/5
Let m(p) be the first derivative of 4*p**5/5 + 3*p**4/5 - 28*p**3/15 - 6*p**2/5 + 8*p/5 + 7. Let m(q) = 0. Calculate q.
-1, 2/5, 1
Let i(v) be the first derivative of -3*v**5/5 + 15*v**4/4 - 7*v**3 + 9*v**2/2 - 10. Factor i(k).
-3*k*(k - 3)*(k - 1)**2
Let k be -1*((2 - -1) + -6). Let q be 1 - (k + (-2)/1). What is v in -v**2 + q + 4*v**3 - 7/3*v**4 - 2/3*v = 0?
-2/7, 0, 1
Let t(z) be the first derivative of -1/5*z**3 + 3/5*z**2 + 2 - 3/5*z. Determine o, given that t(o) = 0.
1
Let j(y) be the first derivative of -y**4/10 - 2*y**3/15 + 1. Determine o, given that j(o) = 0.
-1, 0
Factor 12/5*c**3 + 51/5*c**2 + 12*c + 12/5.
3*(c + 2)**2*(4*c + 1)/5
Let r(x) be the third derivative of -x**5/12 - 2*x**3/3 - 3*x**2. Let z(q) = -4*q**2 - q - 4. Let t(b) = 3*r(b) - 4*z(b). Solve t(l) = 0 for l.
-2
Let m(j) be the first derivative of -j**4/6 - 4*j**3/3 - 4*j**2 - 7*j - 4. Let b(h) be the first derivative of m(h). Find i such that b(i) = 0.
-2
Suppose 0 = -r + 3*m - 5, 4*r + 3*m = -0*r + 25. Let t = -73 - -121. Solve -21 + t*x**3 + 90*x**r + 21 + 8*x**2 + 50*x**5 = 0.
-1, -2/5, 0
Let k(w) be the third derivative of -w**5/15 + w**4/6 - 3*w**2. Solve k(a) = 0 for a.
0, 1
Suppose 5*a - 20 = a. Let h(s) be the third derivative of 1/672*s**8 + 0*s**a + 0*s + 0*s**4 + 0*s**3 + 0*s**7 + 0 - 1/240*s**6 - 2*s**2. Factor h(p).
p*