ve r(f) = 0 for f.
-1
Let o be (-33 + -13 + 16)*(1 + (-14)/10). Factor -42*s - o*s**2 + 0 - 6/7*s**3.
-6*s*(s + 7)**2/7
Let l(o) = 33*o**3 - 2*o**2 - 5*o - 4. Let z be l(-1). Let h be (2 + z/16)*-2. Find a, given that h*a**2 + 0 + 0*a = 0.
0
Let d(r) be the third derivative of r**6/960 - r**5/24 - 99*r**2. Factor d(f).
f**2*(f - 20)/8
Let n(t) = 2*t - 11. Let i be n(-5). Let z be 36/14 + 12/i. Factor -4*j**z - 4 + 8*j - 5 + 5.
-4*(j - 1)**2
Suppose 27*m - 105 = 5*l + 22*m, -3*m = -l - 31. Let s be 4 - 6 - (-18)/l*-2. Solve 0*f + 1/4 - s*f**2 = 0 for f.
-1, 1
Let x(q) be the third derivative of q**6/420 - q**4/84 - 36*q**2 - q. Let x(h) = 0. What is h?
-1, 0, 1
Let l(z) = z**2 + 7*z + 14. Let t be l(-7). Suppose -m - m = -5*s + t, 4*m + 4*s = 28. Factor 4/3*q**2 + 0 + 0*q + 1/3*q**4 - 4/3*q**m.
q**2*(q - 2)**2/3
Let u = 97 - 193/2. Let p(d) be the second derivative of 4*d + 1/30*d**6 - 4*d**2 - 2/3*d**3 + u*d**4 + 0 + 1/4*d**5. Determine q, given that p(q) = 0.
-2, 1
Determine s, given that 420*s**2 + 24 - 176*s - 300*s**3 - 125/2*s**4 = 0.
-6, 2/5
Suppose -2*b + 2*z = 0, 0 = -0*b - 2*b - 4*z. Suppose b = 22*f - 5*f. Find x such that 2/3 + f*x - 2/3*x**2 = 0.
-1, 1
What is p in -13/3*p - 2/3 + 4/3*p**2 - 2/3*p**4 - 13/3*p**5 + 26/3*p**3 = 0?
-1, -2/13, 1
Let h be (12 - (-20 - -32))*4/(-24)*1. Determine l so that 7*l**2 + h - 2/3*l = 0.
0, 2/21
Factor -24/7*d + 0 - 2/7*d**2 + 2/7*d**3.
2*d*(d - 4)*(d + 3)/7
Let g(f) = 2*f**2 - 84*f + 85. Let h(o) = -3*o**2 + 84*o - 85. Let j(a) = 12*g(a) + 9*h(a). Factor j(q).
-3*(q - 1)*(q + 85)
Let g(t) be the third derivative of 0*t**3 + 0 - 1/36*t**4 + 1/90*t**5 + 0*t + 3*t**2. Determine j so that g(j) = 0.
0, 1
Suppose 5*c + 28 = w, 4*w - 36 - 54 = -2*c. Find i, given that w*i + 4*i**2 - 46*i + 27*i = 0.
-1, 0
Let p(f) = -2*f - 24. Let x be p(12). Let y be (-2)/(-8) - 12/x. Factor 0 - 1/4*v + y*v**3 + 0*v**4 + 0*v**2 - 1/4*v**5.
-v*(v - 1)**2*(v + 1)**2/4
Let g(y) = y**3 + 2*y**2 + y. Let o(j) = -2*j**3 - 6*j**2 - 4*j. Let v(i) = -7*g(i) - 3*o(i). Factor v(c).
-c*(c - 5)*(c + 1)
Let n(r) = 2*r - 2. Let h(j) = 2*j**3 + 98*j**2 + 200*j + 84. Let m(v) = h(v) - 5*n(v). Find t such that m(t) = 0.
-47, -1
Let p be (201/1608)/((-1)/(-12)). Find a, given that p*a + 69/8*a**3 + 3 - 15/8*a**4 - 45/4*a**2 = 0.
-2/5, 1, 2
Solve 0*g + 0 + 1/7*g**3 - 1/7*g**2 = 0.
0, 1
Let h be (-1476)/8*10/(-6). Let y = -300 + h. Factor -15/4*z**4 - 3/4 - 15/2*z**2 - 3/4*z**5 - 15/4*z - y*z**3.
-3*(z + 1)**5/4
Let g(p) be the first derivative of 11*p**6/720 + p**5/12 - p**4/12 + 5*p**3/3 + 27. Let r(z) be the third derivative of g(z). Factor r(u).
(u + 2)*(11*u - 2)/2
Let g be 16/32*0/(-3 + 2). Let j be (2 + g)*(-3 - 686/(-35)). Suppose j*c**3 + 0 + 64/5*c**2 + 42/5*c**5 + 152/5*c**4 + 8/5*c = 0. What is c?
-2, -1, -1/3, -2/7, 0
Let i = -549 - -360. Let o = 192 + i. Factor -6/5*n**2 + 8/5*n**4 + 0 + 0*n - 2/5*n**o.
2*n**2*(n - 1)*(4*n + 3)/5
Factor 4*j**2 + 497*j - 794*j - j**2.
3*j*(j - 99)
Suppose -3*a + 66 = 2*a - 3*f, 0 = 3*a - 4*f - 33. Let x be (24/a)/4 + (-20)/(-25). Factor x*w**3 - 2*w**2 + 2/5*w + 2/5.
2*(w - 1)**2*(3*w + 1)/5
Let s(q) be the first derivative of -4*q**2 + 0*q - 20/3*q**3 + 4/5*q**5 - 7 + 2/3*q**6 - 3*q**4. Let s(m) = 0. What is m?
-1, 0, 2
Let z(t) be the third derivative of 0 + 17*t**2 + 0*t - 2*t**3 + 2/3*t**4 - 1/15*t**5. Factor z(q).
-4*(q - 3)*(q - 1)
Let m(h) = -h**3 + h**2 + 17*h - 16. Let n be m(4). Let j(u) be the third derivative of 1/36*u**3 - 6*u**2 + 1/360*u**5 + 1/72*u**n + 0 + 0*u. Factor j(t).
(t + 1)**2/6
Let r be -15*7/35 - (-58)/18. Let -r*x**3 - 8/9*x**2 + 2/9*x + 8/9 = 0. What is x?
-4, -1, 1
Let z be (-6)/(-39) + (-37)/(-13). Suppose z*h - 3 = 2*h. Factor -4/7*a**2 + 0 + 2/7*a + 2/7*a**h.
2*a*(a - 1)**2/7
Suppose 2*p - 5*p + 6 = 0. Suppose 11*a**3 - 4*a**5 + 11*a**p - 3*a**2 - 4*a**3 + 5*a**3 = 0. Calculate a.
-1, 0, 2
Let a = -159 - -166. Suppose -2*g - 3 = -k, -2*k = -a*k + 2*g + 15. Let -4/5*n**k - 26/15*n**2 - 8/15 - 8/5*n - 2/15*n**4 = 0. Calculate n.
-2, -1
Let t be 2*4/16*12. Let b(v) = -v**3 + 8*v**2 - 5*v - 9. Let f be b(t). Factor w - 10*w**2 - 7*w + 37*w**2 + f*w**3.
3*w*(w + 1)*(11*w - 2)
Let q(n) be the third derivative of -n**7/210 + 17*n**6/60 + 71*n**5/60 + 3*n**4/2 + 87*n**2 - 2*n. Let q(w) = 0. What is w?
-1, 0, 36
Let p = -14 - -22. Find q such that 16 - 8*q - 14*q**2 - p + 4*q**4 + 2*q**4 + 8*q**3 = 0.
-2, -1, 2/3, 1
Let g(i) = 3*i**2 - 142*i + 1726. Let j(b) = b - 1. Let o(z) = -g(z) + 2*j(z). Find u, given that o(u) = 0.
24
Suppose -6/7*g - 3/7*g**3 + 24/7 - 15/7*g**2 = 0. Calculate g.
-4, -2, 1
Suppose -f - 4*v + 5 = 4*f, -f - 5*v = 20. Suppose -1 = 2*r - 4*z - f, 5*r - 4*z - 10 = 0. Factor -8*a**2 + 10*a**r + 0*a**2.
2*a**2
Suppose 0 = 3*h + l - 2, -10 = 33*h - 34*h + 2*l. Factor 1/9*t**h + 16/9 + 8/9*t.
(t + 4)**2/9
What is x in 2/13*x**4 + 0 - 2/13*x**2 - 2/13*x**3 + 2/13*x = 0?
-1, 0, 1
Let r = -53 + 53. Suppose 7*x + 11*x - 3*x = r. Factor x + 1/4*d**2 + 3/4*d.
d*(d + 3)/4
Suppose 40 = -7*i + 12*i. Let -6*d**3 + 2*d**2 - 4*d**2 - 4*d**2 + i*d**3 + 4*d = 0. Calculate d.
0, 1, 2
Determine m, given that -5000/3 - 200/3*m - 2/3*m**2 = 0.
-50
Let u(d) be the third derivative of -5*d**8/336 + 4*d**7/21 - 23*d**6/24 + 7*d**5/3 - 5*d**4/2 + 3*d**2 + 25. Let u(k) = 0. Calculate k.
0, 1, 2, 3
Let z(o) = -8*o**4 - 28*o**3 + 28*o**2 - 2. Let s(n) = -26*n**4 - 86*n**3 + 84*n**2 - 7. Let u(g) = -2*s(g) + 7*z(g). Factor u(v).
-4*v**2*(v - 1)*(v + 7)
Let f(v) be the third derivative of -v**7/1995 + 2*v**5/285 + 16*v**2 - 3*v. Find g, given that f(g) = 0.
-2, 0, 2
Let o(m) be the second derivative of -1/4*m**4 - 2*m**3 - 10*m + 0 - 9/2*m**2. Let o(p) = 0. Calculate p.
-3, -1
Let r(p) be the second derivative of 1/36*p**4 + 8*p + 1/9*p**3 + 0*p**2 + 0. Factor r(q).
q*(q + 2)/3
Let v(u) be the second derivative of 49*u**4/48 + 7*u**3/6 + u**2/2 - 37*u. Factor v(y).
(7*y + 2)**2/4
Let l(g) be the first derivative of -2*g**3/15 + 47*g**2/5 + 96*g/5 + 766. Factor l(w).
-2*(w - 48)*(w + 1)/5
Let o(l) = -7*l**4 - 2*l**3 + 6*l**2 + 10*l + 4. Let y = 89 + -84. Let s(n) = -3*n**4 - n**3 + 3*n**2 + 5*n + 2. Let h(z) = y*s(z) - 2*o(z). Factor h(t).
-(t - 2)*(t + 1)**3
Let r be 4/((-13)/(-52)*36). Let -r*c - 2/9*c**4 + 0*c**2 + 2/9 + 4/9*c**3 = 0. What is c?
-1, 1
Let t = 1449 - 1447. Factor -20/7*x + 50/7 + 2/7*x**t.
2*(x - 5)**2/7
Let w = 4 + -1. Factor g**3 + 3*g - 3 + 4*g**w - 8*g**3 + 3*g**2.
-3*(g - 1)**2*(g + 1)
Factor -15/2*k - 3/2*k**2 + 9.
-3*(k - 1)*(k + 6)/2
Let p(b) be the second derivative of -b**6/40 - 99*b**5/80 - 51*b**4/2 - 280*b**3 - 1728*b**2 - 420*b. Find z, given that p(z) = 0.
-9, -8
Let y(i) = -i. Let u(t) = t**2 - 1. Let j(c) = u(c) + y(c). Let q(x) = -x**2 + 9*x + 8. Let o(b) = 2*j(b) + q(b). Find k, given that o(k) = 0.
-6, -1
Factor 0 + 0*z - 43/4*z**2 + 1/8*z**4 + 41/8*z**3.
z**2*(z - 2)*(z + 43)/8
Factor 0 + 2/11*w**3 - 14/11*w**2 + 12/11*w.
2*w*(w - 6)*(w - 1)/11
Suppose -3*i + s + 3 = 0, 25*i + 24 = 27*i + 3*s. Factor -8/5*w**4 + 2/5*w**5 + 0*w + 2*w**i - 4/5*w**2 + 0.
2*w**2*(w - 2)*(w - 1)**2/5
Factor 3528/5*x**2 - 756/5*x - 5488/5*x**3 + 54/5.
-2*(14*x - 3)**3/5
Let q(b) = -2*b**4 + b**2 - 2*b + 2. Let g(s) = -12*s**4 + 6*s**3 + 9*s**2 - 20*s + 10. Let x(v) = -g(v) + 7*q(v). Factor x(h).
-2*(h - 1)*(h + 1)**2*(h + 2)
Suppose v + 2*v + 31 = 4*k, 2*k + 4*v = -12. Let q(s) be the second derivative of 0*s**2 + 1/42*s**k + 1/21*s**3 + 10*s + 0. Determine t so that q(t) = 0.
-1, 0
Let k be (-10)/50*1 - 1/(-5). Suppose k = 23*x - 25*x + 6. Let 6*y**4 + 0*y - 3/2*y**5 + 0 - 15/2*y**3 + x*y**2 = 0. Calculate y.
0, 1, 2
Let v(l) be the second derivative of -4*l**7/21 + 36*l**6/5 - 101*l**5/10 - 40*l**4/3 + 17*l**3 + 26*l**2 + l + 61. What is k in v(k) = 0?
-1/2, 1, 26
Let f be 1*5 - (-1 - -1). Suppose -3*w + 6*w - 3 = 0. Suppose 3*i - 2*i**2 + i**3 + f*i**2 + 0*i + w = 0. Calculate i.
-1
Factor -289/7 - 1/7*o**2 - 34/7*o.
-(o + 17)**2/7
Let u(x) be the second derivative of -x**5/30 - x**4/3 + 31*x**3/9 + 12*x**2 - x - 86. Factor u(p).
-2*(p - 4)*(p + 1)*(p + 9)/3
Let p(t) be the first derivative of -t**7/5040 - t**6/540 - t**5/180 - 20*t**3/3 + 3. Let q(o) be the third derivative of p(o). Find g, given that q(g) = 0.
-2, 0
Let i(k) be the second derivative of 2/