(4 + 2 - 1). Suppose 4/5*i**2 - 2/5*i**3 - z + 2/5*i = 0. What is i?
-1, 1, 2
Determine m so that -1/6*m**4 + 0 + 0*m - 1/3*m**2 + 1/2*m**3 = 0.
0, 1, 2
Let d(u) be the first derivative of u**4/18 - 14*u**3/9 - 8*u**2/3 + 88*u/9 - 236. Find m, given that d(m) = 0.
-2, 1, 22
Let a(y) be the third derivative of y**6/18 + 11*y**5/12 + 5*y**4/9 + 2*y**2 - 107*y. Solve a(f) = 0.
-8, -1/4, 0
Let t(i) be the first derivative of 2*i**6/3 - 5*i**4 + 8*i**2 - 233. Suppose t(n) = 0. What is n?
-2, -1, 0, 1, 2
Let w be 24/(-1)*1*7/(-273). Let -2/13*y**2 - 8/13*y - w = 0. Calculate y.
-2
Let u(k) = 7*k**3 - 389*k**2 + 2863*k - 777. Let y(i) = -i**3 + i**2 + i + 1. Let n(s) = 2*u(s) - 14*y(s). Factor n(r).
4*(r - 14)**2*(7*r - 2)
Let g(w) = 10*w**3 + w + 11. Suppose -4*u + d + 19 = u, -5*u + 16 = -4*d. Let b(x) = 2*x**3 + 2. Let p(v) = u*g(v) - 22*b(v). Let p(t) = 0. What is t?
-1, 0, 1
Let x(p) be the third derivative of -p**5/100 - 7*p**4/20 - 49*p**3/10 + 111*p**2. Solve x(j) = 0 for j.
-7
Let z(s) be the second derivative of -s**5/480 - s**4/32 + 7*s**3/48 - 24*s**2 + 52*s. Let y(p) be the first derivative of z(p). Factor y(c).
-(c - 1)*(c + 7)/8
Let l(k) be the second derivative of -k**7/840 + k**6/36 - 17*k**5/120 + k**4/3 + 8*k**3 - 42*k. Let h(j) be the second derivative of l(j). Factor h(c).
-(c - 8)*(c - 1)**2
Let j(x) = 4*x**3 + x**2 - 3*x + 5. Suppose -5*n + 7*n - 10 = 0. Let b(w) = 4*w**3 - 4*w + 4. Let p(c) = n*b(c) - 4*j(c). Factor p(m).
4*m*(m - 2)*(m + 1)
Suppose 17*v - 31*v = -28. Suppose 8/3 + 58/3*t**v + 40/3*t + 20/3*t**3 = 0. Calculate t.
-2, -1/2, -2/5
Suppose -584 = 19*h - 4*h - 629. Suppose 4/3*c**4 + 2*c**h + 0*c + 8/9*c**2 + 0 + 2/9*c**5 = 0. Calculate c.
-4, -1, 0
Let v = 21 + -18. Determine j so that 42*j**v - j**2 - 9*j + 3*j**4 - 33*j**3 - 2*j**2 = 0.
-3, -1, 0, 1
Factor -110*o**2 - 50*o**4 + 120*o**3 + 3*o**5 + 4967 + 35*o + 2*o**5 - 4967.
5*o*(o - 7)*(o - 1)**3
Let v be 13 + -12 + 12/2. Let k be 2/(2 - 4)*(4 - v). Determine x, given that -9 - 1/3*x**k - 9*x - 3*x**2 = 0.
-3
Let h = -1 - -7. Let y(b) = -b + 14. Let k be y(h). Solve 5*t**2 + 5 + k*t + 1 - 3*t**2 = 0 for t.
-3, -1
Let r(b) be the second derivative of -3*b**5/20 + b**4/2 + 4*b**3 - b - 51. Factor r(h).
-3*h*(h - 4)*(h + 2)
Let z = 61 + -54. Suppose -3*w + 4*f = -w, -3*w - f + z = 0. Factor 3 - 3/2*b**w + 3/2*b.
-3*(b - 2)*(b + 1)/2
Let f be (-5)/2*(-282)/235. Let i(v) be the second derivative of 0*v**2 - 1/27*v**f + 0 + 1/30*v**5 + 1/27*v**4 - 2*v. Factor i(q).
2*q*(q + 1)*(3*q - 1)/9
Let v(s) be the second derivative of -s**7/56 + 7*s**6/40 - 51*s**5/80 + 17*s**4/16 - 3*s**3/4 - 2*s - 436. Let v(d) = 0. Calculate d.
0, 1, 2, 3
What is y in -128*y + 8/5*y**3 - 2/5*y**4 + 1024/5 + 96/5*y**2 = 0?
-8, 4
Factor 12/7 - 11/7*n + 1/7*n**3 - 2/7*n**2.
(n - 4)*(n - 1)*(n + 3)/7
Let m(o) be the second derivative of o**6/120 + 9*o**5/80 + o**4/6 + 22*o - 14. Find a such that m(a) = 0.
-8, -1, 0
Let h(f) be the third derivative of 0*f - 4/195*f**5 + 0 + 1/52*f**4 + 1/260*f**6 - 34*f**2 + 2/39*f**3. Factor h(u).
2*(u - 2)*(u - 1)*(3*u + 1)/13
Determine g, given that -27/8 - 153/8*g - 15/8*g**3 - 93/8*g**2 = 0.
-3, -1/5
Let n be 8/(-4)*3/(-2). Factor -n*o + o - 4*o**4 + 6*o**3 + 0*o**4 + 0*o.
-2*o*(o - 1)**2*(2*o + 1)
Let a(b) be the third derivative of b**5/150 + 34*b**4/15 - 137*b**3/15 + 123*b**2. Factor a(y).
2*(y - 1)*(y + 137)/5
Suppose -14/9*l + 16/3 + 1/9*l**2 = 0. Calculate l.
6, 8
Let d(f) = 4*f + 17. Let b be d(-5). Let z be (-82)/(-70) - (-2)/((-14)/b). Solve 6/5*o**2 + 2/5 + z*o = 0.
-1, -1/3
Suppose 3*t - 6*t - 6 = -3*y, 4*t + 3*y = 27. Factor 1 + 4*c**2 + 3/2*c**t + 7/2*c.
(c + 1)**2*(3*c + 2)/2
Suppose 0 = -4*r - 2*l + 26, -l = 138*r - 133*r - 25. Solve r + 4/7*t**2 - 32/7*t = 0.
1, 7
Let z(v) be the first derivative of v**5/50 - 18*v**4/5 + 71*v**3/5 - 106*v**2/5 + 141*v/10 - 453. Factor z(p).
(p - 141)*(p - 1)**3/10
Let h(o) = o**2 + o - 24. Let w be h(5). Suppose -a**2 - 8*a**3 + 2*a**4 - 4*a**4 - a**2 - w*a**2 = 0. What is a?
-2, 0
Let r(y) be the second derivative of -3*y**5/140 + y**4/28 + 2*y**3/7 - 6*y**2/7 - 234*y. Solve r(s) = 0.
-2, 1, 2
Factor 28/9*z**4 + 32/9*z + 0 + 4/9*z**5 + 80/9*z**2 + 8*z**3.
4*z*(z + 1)*(z + 2)**3/9
Solve 11 + 3*t**3 + t**5 + 39*t**2 + 7*t**4 - 43*t + 17*t**2 + 6*t**2 - 41*t**3 = 0 for t.
-11, 1
Let n(r) = 3*r**2 - 1. Let h be n(1). Let l(d) be the third derivative of 1/420*d**6 + 0 - 1/735*d**7 + 0*d + 0*d**3 + 0*d**4 + 0*d**5 - 5*d**h. Factor l(w).
-2*w**3*(w - 1)/7
Factor 0 + 1/8*p**4 + 0*p - 3/4*p**3 + 9/8*p**2.
p**2*(p - 3)**2/8
Let p(q) be the third derivative of -q**6/1440 + q**5/240 - q**4/96 + 23*q**3/6 + 27*q**2. Let n(i) be the first derivative of p(i). Factor n(z).
-(z - 1)**2/4
Factor 1/5 - 2/5*j**3 - 1/10*j**5 + 1/2*j + 1/5*j**2 - 2/5*j**4.
-(j - 1)*(j + 1)**3*(j + 2)/10
Let m(j) be the first derivative of -15625/3*j**4 - 32/3*j - 2 - 200*j**2 - 5000/3*j**3. Let m(w) = 0. What is w?
-2/25
Let k(d) = d - 11. Let m = 149 - 135. Let z be k(m). Factor 1/7*a**z + 0*a**2 - 1/7*a + 0.
a*(a - 1)*(a + 1)/7
Factor -3/2*j**2 + 5 + 13/2*j.
-(j - 5)*(3*j + 2)/2
Let v(a) be the second derivative of -1/78*a**4 + 0*a**2 + 3/130*a**5 + 11*a + 0*a**3 + 0. Factor v(y).
2*y**2*(3*y - 1)/13
Let x(j) = -13*j**2 + 144*j + 285. Let b(o) = 63*o**2 - 720*o - 1428. Let m(d) = 5*b(d) + 24*x(d). Solve m(a) = 0.
-2, 50
Let j(u) be the second derivative of -u**6/150 + 3*u**5/50 - 2*u**4/15 - u**3/5 + 9*u**2/10 + 2*u + 100. Solve j(i) = 0.
-1, 1, 3
Let m(z) be the third derivative of -z**5/15 - 19*z**4/12 + 10*z**3/3 + 73*z**2. Let t be m(-10). Factor 0*r**2 + 0*r - 1/3*r**3 + t - 1/3*r**4.
-r**3*(r + 1)/3
Suppose 0 = -2*v + 7*v - 10. Let -6*x**3 - 4 + 4*x + 2*x - 8 + 9 + 3*x**v = 0. Calculate x.
-1, 1/2, 1
Factor 88 + 76 - 35*j - 134 + 10*j**3 - 38*j**2 - 17*j**2.
5*(j - 6)*(j + 1)*(2*j - 1)
Let s(i) be the third derivative of -9*i**5/20 - 11*i**4/8 - i**3 + 10*i**2. Determine h, given that s(h) = 0.
-1, -2/9
Let p(c) be the first derivative of -1/42*c**4 + 13 + 4/7*c**2 + 6*c + 1/7*c**3. Let r(o) be the first derivative of p(o). Factor r(n).
-2*(n - 4)*(n + 1)/7
Solve -4524 - 1619*v**2 + 600*v**3 + 1482 - 66*v**4 - 195*v**3 + 2*v**5 - 1545*v**2 + 327*v**3 + 5538*v = 0.
1, 3, 13
Let i(v) = 12*v + 9. Let c(j) = j**2 - 24*j - 18. Let a(f) = -3*c(f) - 7*i(f). Factor a(x).
-3*(x + 1)*(x + 3)
Let l(o) be the third derivative of 8*o**7/35 + 13*o**6/5 + 249*o**5/20 + 65*o**4/2 + 50*o**3 + 13*o**2. Factor l(h).
3*(h + 2)**2*(4*h + 5)**2
Factor 0*t - 8/3*t**2 - 4/3*t**4 + 0 - 4*t**3.
-4*t**2*(t + 1)*(t + 2)/3
Let z(w) be the third derivative of w**6/40 + w**5/10 - 5*w**4/8 - 3*w**3 - w**2 - 16*w. Suppose z(r) = 0. What is r?
-3, -1, 2
Suppose 0 = 5*b + 3*i - 15, -20 + 30 = -b + 2*i. Factor 4/7*j**3 + b + 0*j**2 - 4/7*j.
4*j*(j - 1)*(j + 1)/7
Let u(n) be the first derivative of -3*n**6/100 + n**5/75 + 3*n**4/5 - 8*n**3/15 - 12*n**2 + 3. Let x(r) be the second derivative of u(r). Factor x(d).
-2*(d - 2)*(d + 2)*(9*d - 2)/5
Suppose 0*t - 20 = -4*t, t = -3*m + 5. Let i be 4/10 + m/3. Factor -i - 1/5*l + 2/5*l**2 + 1/5*l**3.
(l - 1)*(l + 1)*(l + 2)/5
Suppose -1063 + 1507 = 111*d. Find s such that -2/7*s**5 + 1/7*s**2 + 0 + 3/7*s**3 - 1/7*s**d - 1/7*s = 0.
-1, 0, 1/2, 1
Let j be 2/(-4)*336/(-84). Let u = -553/5 - -111. Suppose 4/5*a + u*a**j + 2/5 = 0. What is a?
-1
Let o = -5 + 4. Let m be (-2)/5*(o + -4). Determine g, given that 4*g**2 - g**2 + 0*g**2 - 3*g**3 - g**4 + m*g**4 - g = 0.
0, 1
Let v(b) be the third derivative of -b**6/30 - 2*b**5/15 - b**4/6 + 664*b**2. Suppose v(u) = 0. What is u?
-1, 0
Let w = -1/1230 + 34133/615. Let r = -55 + w. What is b in 3/4 - r*b - 1/4*b**2 = 0?
-3, 1
Factor -24349*s + 53742*s + 5*s**3 + 900*s**2 + 681199 + 24607*s + 398801.
5*(s + 60)**3
Let f(g) = -2*g**3 - g**2 + 3*g**3 + 4*g - 4 + 3*g**3 - 5*g**3. Let r be f(-3). Factor 4/3 + 2/3*p**3 + 0*p**r - 2*p.
2*(p - 1)**2*(p + 2)/3
Let q be (-5 + (7 + -3 - -2))*4. Factor -16/5 - 2/5*p**q - 36/5*p**2 + 14/5*p**3 + 8*p.
-2*(p - 2)**3*(p - 1)/5
Let o(g) be the first derivative of 0*g - 1/10*g**5 + 1/6*g**3 - 8 + 0*g**2 - 1/12*g**6 + 1/8*g**4. Factor o(i).
-i**2*(i - 1)*(i + 1)**2/2
Find s such that 2/3*s**4 + 0 - 6*s**3 + 6*s - 2/3*s**2 = 0.
-1, 0, 1, 9
Let q(z) be the