j**3 = 0. What is j?
-6, -2, 0
Solve 35 + 36*y + 235*y**2 + 231*y**2 - 465*y**2 = 0.
-35, -1
Let q(x) = -5*x**3 - x**2 + x. Let l be q(1). Let k be (-19)/(-6) + l/30. Suppose 3/4*d**4 + 0*d + 0*d**k + 0 - 3*d**2 = 0. Calculate d.
-2, 0, 2
Let a(r) be the second derivative of 0*r**3 - 1/120*r**4 + 1/2*r**2 + 0 - 4*r + 1/600*r**6 + 0*r**5. Let w(l) be the first derivative of a(l). Solve w(h) = 0.
-1, 0, 1
Suppose 16/5 + 48/5*q**4 + 108/5*q + 52*q**2 + 248/5*q**3 - 32/5*q**5 = 0. What is q?
-1, -1/2, 4
Let v(u) be the third derivative of u**7/420 + u**6/90 + u**5/60 + u**3 - u**2. Let l(h) be the first derivative of v(h). Let l(n) = 0. What is n?
-1, 0
Let k(g) be the second derivative of g**8/1344 - g**7/168 + g**6/72 - g**3/2 + 15*g. Let c(x) be the second derivative of k(x). Factor c(n).
5*n**2*(n - 2)**2/4
Let v(a) be the second derivative of 1/84*a**7 + 0 + 1/24*a**4 - 1/40*a**5 + 0*a**3 - 18*a + 0*a**2 - 1/60*a**6. What is q in v(q) = 0?
-1, 0, 1
Let q(z) = -3*z - 11. Let u be q(-5). Let 4*h**4 - h**4 - h**3 - h**3 + 2*h - 2*h**2 - h**u = 0. Calculate h.
-1, 0, 1
Find i such that -28/5*i**4 - 4/5*i**5 + 4/5*i**3 + 0 + 28/5*i**2 + 0*i = 0.
-7, -1, 0, 1
Suppose -3*r - 2 = -5. Suppose 5*w - 5*s - 6 = -r, 5*s = w + 7. Suppose 0 + 2/5*u**2 + 1/5*u**w + 0*u = 0. What is u?
-2, 0
Let z(k) be the second derivative of -5*k**4/12 - 10*k**3 + 65*k**2/2 + k - 68. Factor z(s).
-5*(s - 1)*(s + 13)
Let x(f) be the second derivative of -f**5/70 + f**4/14 + 3*f**3/7 + 5*f**2/7 - 253*f. Solve x(w) = 0 for w.
-1, 5
Factor -30 + 7*t + 0*t - t**2 + 13*t - 3*t.
-(t - 15)*(t - 2)
Let a be (-4)/5*(-3 + (-45)/(-30)). Factor 21/5*h - a*h**2 - 3/5*h**3 - 12/5.
-3*(h - 1)**2*(h + 4)/5
Let f be (-5 - -2) + 14 - 0. Let d(u) = 12*u**2 - 7*u**2 + 3*u + f - 9*u**2. Let j(b) = -b**2 - b - 1. Let z(p) = d(p) - 5*j(p). Determine n so that z(n) = 0.
-4
Let m(g) = 7*g**2 - 80*g + 138. Let q(n) = 120*n**2 - 1360*n + 2345. Let c(z) = -35*m(z) + 2*q(z). Let c(h) = 0. Calculate h.
2, 14
Factor 726/7 - 38/7*y**2 + 110/7*y + 2/7*y**3.
2*(y - 11)**2*(y + 3)/7
Let h(g) be the first derivative of 8 + 0*g**2 + 10/3*g**3 + 0*g + 0*g**4 + 1/30*g**5 + 1/90*g**6. Let k(v) be the third derivative of h(v). Factor k(w).
4*w*(w + 1)
Let v(a) be the third derivative of -a**5/100 - 17*a**4/30 + 23*a**3/30 + 226*a**2. Suppose v(p) = 0. Calculate p.
-23, 1/3
Let k(s) be the second derivative of 5*s**7/21 - 23*s**6/6 + 15*s**5/2 + 5*s**4/12 - 25*s**3/3 - 4*s + 10. Suppose k(l) = 0. What is l?
-1/2, 0, 1, 10
Let g(i) = -5*i**4 + 8*i**3 + 9*i**2 - 7*i - 11. Let d(p) = 2*p**4 - p**3 - p**2 + p + 1. Let q(h) = 15*d(h) + 5*g(h). Find t, given that q(t) = 0.
-2, 1
Let i(x) = -x**3 + 7*x**2 + 10*x - 14. Let y be i(8). Find b, given that -b - 562*b**y - 3*b**3 + 2*b + 563*b**2 - 1 + 2*b = 0.
-1, 1/3, 1
Let h be 4/(-16)*1*(14 + -14). Factor -2/3*i**3 + h - 2*i**2 - 4/3*i.
-2*i*(i + 1)*(i + 2)/3
Let s be (19 + 4/2)/1. Let q = -18 + s. Factor -1/4*l**2 + 11/4*l**q + 0 + 12*l**5 + 0*l - 10*l**4.
l**2*(3*l - 1)*(4*l - 1)**2/4
Suppose -2*j**4 - 411*j**3 + 10*j**2 - 8 + 847*j**3 - 8*j - 426*j**3 - 2*j**5 = 0. What is j?
-2, -1, 1, 2
Let g(t) be the first derivative of -5*t + 23 - t**2 - 1/15*t**3. Factor g(q).
-(q + 5)**2/5
Let f(h) be the second derivative of 7/200*h**5 + 3/20*h**3 + 0 - 1/8*h**4 + 0*h**2 - 1/300*h**6 + 16*h. Suppose f(s) = 0. Calculate s.
0, 1, 3
Let s(h) = -h**3 + 3*h**2 + h - 2. Let x be s(2). Let g(i) = 15*i + 152. Let k be g(-10). Solve 2*b**3 - 3/4*b**x - b**k + 0*b + 0 = 0.
0, 2/3, 2
Factor 0 + 2/13*m**3 + 6/13*m**2 + 4/13*m.
2*m*(m + 1)*(m + 2)/13
Determine x so that 4042*x + 3091*x**2 - 27*x**4 - 107 + 33*x**4 + 7827*x**2 - 514*x**3 - 7289 = 0.
-1, 2/3, 43
Let k(o) be the third derivative of -o**7/2100 - o**6/300 - o**5/200 - 278*o**2. Determine j so that k(j) = 0.
-3, -1, 0
Let m(i) be the second derivative of 15/2*i**3 + 0*i**2 - 5/2*i**4 + 1/4*i**5 + 14*i + 0. Factor m(k).
5*k*(k - 3)**2
Factor 6/5*a**3 - 6/5*a**2 - 2/5*a**4 + 2/5*a + 0.
-2*a*(a - 1)**3/5
Let u(c) = 5*c - 65. Let k be u(13). Let y be (-6)/(-1 + -2 + k). Factor -1/3 - 2*x**y - 3/2*x - 5/6*x**3.
-(x + 1)**2*(5*x + 2)/6
Let p(k) = 0 - 9*k + 6 - 9*k + 12*k**2. Let j(c) = -c**2 + 8*c - 10. Let r be j(7). Let i(g) = -36*g**2 + 55*g - 19. Let h(z) = r*i(z) - 8*p(z). Factor h(u).
3*(u - 1)*(4*u - 3)
Let k(w) = -w**3 - 9*w**2 + 11*w + 12. Let s be k(-10). Solve 4*p**4 - 2 + 4*p**5 + 2*p**4 - 6*p + 4*p**3 - s*p**5 - 4*p**2 = 0.
-1, 1
Solve 1/3*o**3 + 5*o - 3 - 7/3*o**2 = 0.
1, 3
Suppose -2*w + 249 = -v - 50, 3*w + v = 451. Suppose 9*t - 4*t - w = 0. Suppose -27*j**2 + 0*j - 9*j + t*j**2 = 0. What is j?
0, 3
Let h be 17 - -1 - (0/(-5) - -3). Suppose -3*k = 4*i - 34, 2*i - 32 = -2*i - 4*k. Let q**3 + 2*q**3 + i*q - h*q**2 + 2*q**3 = 0. What is q?
0, 1, 2
Let i(a) be the third derivative of -4*a**7/945 + a**5/90 - a**4/108 + a**2 - 25*a. Determine t so that i(t) = 0.
-1, 0, 1/2
Let w(z) = z + 17. Let t be w(-17). Let h be 3 + (0/(-4))/2 + t. Suppose -x - 25/4*x**5 + 0 + 11/4*x**h - 3*x**2 + 15/2*x**4 = 0. What is x?
-2/5, 0, 1
Let v(b) be the second derivative of -b**7/231 + 2*b**6/165 - b**5/110 - 13*b + 4. Factor v(d).
-2*d**3*(d - 1)**2/11
Let k(i) = -17*i**4 + 72*i**3 - 97*i**2 - 350*i + 360. Let b(o) = -6*o**4 + 24*o**3 - 33*o**2 - 117*o + 120. Let u(a) = 8*b(a) - 3*k(a). Solve u(p) = 0 for p.
-2, 1, 4, 5
Factor -2*r**2 - 9 + 48*r + 8 - 21 - 5 - 19.
-2*(r - 23)*(r - 1)
Determine f so that 8/7 - 20/7*f + 8/7*f**2 = 0.
1/2, 2
Suppose -3*p - 24 = 5*b, 9*b + 6 = 8*b. Determine x so that -16*x - 4/3*x**p - 48 = 0.
-6
Suppose 5*q = -2*b + 104, 222 = 5*b + 3*q - 0. Factor -1 + b*f + 2*f**2 + 0*f**2 + 2*f**3 - 44*f - 1.
2*(f - 1)*(f + 1)**2
Factor 27/2 + 1/6*n**2 - 3*n.
(n - 9)**2/6
Factor 0*a - 7/4*a**3 - 1/4*a**4 - 5/2*a**2 + 0.
-a**2*(a + 2)*(a + 5)/4
Let z(v) = v**3 + 10*v**2 + 8*v - 6. Let p be z(-9). Factor 12*d**3 - 2*d**2 + 3*d**5 - 12*d**4 + p*d**3 - 4*d**2 + 0*d**5.
3*d**2*(d - 2)*(d - 1)**2
Suppose -w = -6*w + 15. Factor 5*u**2 + 5*u - 4*u**2 + 4*u**2 - 10*u**w.
-5*u*(u - 1)*(2*u + 1)
Let i = -847 - -847. Let b(g) be the second derivative of 0*g**4 + 0 + i*g**2 + 1/15*g**7 + 2/75*g**6 + 2*g + 0*g**3 + 0*g**5. Factor b(h).
2*h**4*(7*h + 2)/5
Let n(x) be the second derivative of 1/3*x**3 - 1/5*x**5 + 0*x**6 + 1/21*x**7 + 0*x**4 + 0 + 10*x + 0*x**2. Factor n(c).
2*c*(c - 1)**2*(c + 1)**2
Let l(a) = -a**4. Let d(h) = -h**4 + 40*h**3 - 96*h**2 + 96*h - 32. Let q = -18 - -13. Let i(t) = q*l(t) - d(t). Solve i(x) = 0.
2/3, 2
Suppose 64/7 + 18/7*f**4 + 296/7*f**2 + 240/7*f + 132/7*f**3 = 0. Calculate f.
-4, -2, -2/3
Suppose 0*m + 3 = x + m, -3*x + 17 = m. Let g(h) be the first derivative of -6*h**3 - x*h**2 - 4*h - 2/5*h**5 - 1 - 5/2*h**4. Determine r so that g(r) = 0.
-2, -1
Let j = 258 - 184. Let i = 78 - j. Solve -52*z**2 - 214/7*z**3 - 16/7 + 50*z**5 + 380/7*z**i - 136/7*z = 0 for z.
-1, -2/5, -2/7, 1
Let l(n) be the third derivative of -3*n**6/8 + n**5/6 + 15*n**4/8 - 5*n**3/3 - 44*n**2. Find v, given that l(v) = 0.
-1, 2/9, 1
Suppose -5*j + 1 = -a + 4*a, 3*a - 3*j - 9 = 0. Factor 22*z + 30*z**a + 0*z**2 + 4*z**4 - 9 + 18*z**3 + 15.
2*(z + 1)**3*(2*z + 3)
Let u be 3*(2/1)/2. Factor -62*p**u + 63*p**3 - 4*p**2 + 7*p**2 + 2*p.
p*(p + 1)*(p + 2)
Let g(x) = x**3 + 13*x**2 + 24*x + 6. Let w be g(-2). Solve 9/7 + 15/7*p + 3/7*p**w - 3/7*p**3 = 0 for p.
-1, 3
Suppose -39 + 25 = -7*w. Let a(l) be the first derivative of 0*l - 1/2*l**6 + 0*l**3 + 6/5*l**5 + 2 + 0*l**w - 3/4*l**4. Factor a(u).
-3*u**3*(u - 1)**2
Let v(m) be the third derivative of -3/280*m**6 + 0 + 0*m**3 - 1/28*m**4 + 1/28*m**5 + 11*m**2 + 0*m. Factor v(b).
-3*b*(b - 1)*(3*b - 2)/7
Let u - 10/7 - 1/7*u**2 = 0. What is u?
2, 5
Let q = -110 + 111. Let v be 480/(-350)*(-6 + q). What is y in 3/7 + 24/7*y + v*y**2 = 0?
-1/4
Let c = 389 - 155. Find m such that 231*m - c*m - 48*m**5 - m**2 + 29*m**3 + 15*m**2 - 136*m**4 = 0.
-3, -1/3, 0, 1/4
Let a(q) = -2*q**4 + 60*q**3 + 66*q**2 - 2*q + 2. Let y(i) = -9*i**4 + 300*i**3 + 331*i**2 - 11*i + 11. Let w(v) = -11*a(v) + 2*y(v). Factor w(x).
4*x**2*(x - 16)*(x + 1)
Factor 5*b**2 + 40*b + 3159 - 3159.
5*b*(b + 8)
Let l(x) be the third derivative of 1/30*x**4 + 6*x**2 + 1/75*x**5 + 0*x**3 + 0 + 0*x. Factor l(r).
4*r*(r + 1)/5
Le