or q(x).
(x - 1)*(x + 2)/3
Let o = -5085 + 5085. Factor 2*s**3 + 2*s**2 + 2/3*s + 2/3*s**4 + o.
2*s*(s + 1)**3/3
Let y(r) be the second derivative of -r**4/60 - 20*r**3/3 - 1000*r**2 - 433*r. Factor y(v).
-(v + 100)**2/5
Let b(y) be the second derivative of 0 - 2/27*y**3 + 10*y - 1/36*y**5 - 2/27*y**4 - 1/270*y**6 + 0*y**2. Factor b(o).
-o*(o + 1)*(o + 2)**2/9
Let -1/4*l**5 - l**2 + 0 - 2*l + 3/2*l**3 + 1/4*l**4 = 0. What is l?
-2, -1, 0, 2
Let k(h) be the third derivative of 12*h**2 + 0 + 1/210*h**7 + 2/5*h**5 + 4/3*h**4 + 0*h + 8/3*h**3 + 1/15*h**6. Solve k(d) = 0 for d.
-2
Let j(z) be the third derivative of -z**8/840 - z**7/105 - z**6/100 + z**5/30 + z**4/15 + z**2 + 31*z. What is y in j(y) = 0?
-4, -1, 0, 1
Let -80/23*z**2 - 42/23*z**3 - 2/23*z**5 + 0 + 200/23*z + 20/23*z**4 = 0. Calculate z.
-2, 0, 2, 5
Let a = -3516 + 10549/3. What is b in 0 + 1/3*b**4 - 1/6*b**5 + 0*b + 1/6*b**3 - a*b**2 = 0?
-1, 0, 1, 2
Let a(g) be the first derivative of g**3/5 + 123*g**2/10 + 24*g + 99. Let a(p) = 0. What is p?
-40, -1
Suppose -b - 5*x - 6 = 0, 30 = -0*b + 4*b + 2*x. Suppose 8 = b*z - 19. Determine t, given that 0 + 0*t**z - 1/6*t**2 + 0*t + 1/6*t**4 = 0.
-1, 0, 1
Let w = 2857 - 25663/9. Solve 20/9*d - 2/9*d**2 - w = 0 for d.
5
Let y(s) = -s**2 + 2*s - 2. Let r be y(6). Let d = r - -131/5. Find u, given that d*u**3 + 0*u - 2/5*u**4 - 1/5*u**5 + 0 + 2/5*u**2 = 0.
-2, -1, 0, 1
Let i(v) = -2*v**2 - 2*v + 1. Let n(z) = -5*z**2 - 2*z - 15. Let c(o) = -22*i(o) - 2*n(o). What is x in c(x) = 0?
-2/3, -2/9
Let u = -19 + 24. Factor 4*q**5 + 3*q**4 + 1 - 2*q + 5*q - 6*q**3 + 2 - 6*q**2 - q**u.
3*(q - 1)**2*(q + 1)**3
Let z = -40 - -46. Suppose -2*s + 24 = 4*q - z*s, -2*s + 12 = 4*q. Factor 0*a**2 - 1/4*a**5 - 1/4*a**q + 0*a + 0*a**3 + 0.
-a**4*(a + 1)/4
Let l be (-1*0/(-5))/(-2). Suppose -u + 20 = -l*u - 5*x, 0 = 4*u + x + 4. Suppose 2*d**3 + u*d + 12*d**2 + 2*d**3 + 0*d = 0. What is d?
-3, 0
Factor 0*z**4 + 0*z + 0 - 2/11*z**5 + 4/11*z**2 + 6/11*z**3.
-2*z**2*(z - 2)*(z + 1)**2/11
Let i(b) be the second derivative of b**6/15 - 9*b**5/10 + 5*b**4/2 + 25*b**3/3 - 58*b. Factor i(d).
2*d*(d - 5)**2*(d + 1)
Let q(w) = 8*w**3 + w**2 - 2*w. Let g be (-8 - -24)*2/4. Let h be (-12)/(-18) - g/3. Let i(n) = -n**3. Let b(c) = h*q(c) - 14*i(c). Find j, given that b(j) = 0.
-2, 0, 1
Let s(u) be the first derivative of -u**6/255 - 3*u**5/170 + 4*u**3/51 - 10*u - 11. Let b(n) be the first derivative of s(n). Factor b(r).
-2*r*(r - 1)*(r + 2)**2/17
Suppose 0 = -f - 0*f - x + 2, 5*x + 10 = 0. Factor -8/13*l - 98/13*l**f + 0 - 42/13*l**3 + 48/13*l**2.
-2*l*(l + 1)*(7*l - 2)**2/13
Let l be (-55)/(-15) - (-4)/(-6). Suppose -16 = -l*y + 32. Determine k, given that -y*k + 4*k**2 - 3*k**2 - 7*k**2 - 6*k**2 - 4 = 0.
-1, -1/3
Let q(m) = -130*m - 517. Let j be q(-4). Let 2/15*o**2 + 0*o + 8/15*o**j - 8/15*o**5 - 2/15*o**4 + 0 = 0. Calculate o.
-1, -1/4, 0, 1
Let o(c) = 3*c**5 - 7*c**4 - 23*c**3 + 27*c**2 - 4*c - 4. Let w(a) = a**4 - a**3 + a + 1. Let x(h) = o(h) + 4*w(h). Factor x(s).
3*s**2*(s - 3)*(s - 1)*(s + 3)
Solve 4*t**4 - 40*t**3 - 317*t + 320 + 1277*t - 340 + 1384 - 92*t**2 + 940 = 0 for t.
-3, 8
Let x = -431 + 433. Let t(p) be the second derivative of -1/9*p**3 + 0 + 2/9*p**2 + x*p + 1/54*p**4. Factor t(c).
2*(c - 2)*(c - 1)/9
Let m = 20855 - 20852. Factor 5*n**m + 1/4 + 1/4*n - 4*n**2.
(2*n - 1)**2*(5*n + 1)/4
Let h(y) be the first derivative of -y**4 - 32*y**3/3 - 26*y**2 - 24*y + 485. Factor h(x).
-4*(x + 1)**2*(x + 6)
Let h(n) be the third derivative of n**7/21 + 7*n**6/8 - 4*n**5 + 125*n**4/24 + 671*n**2. Suppose h(u) = 0. What is u?
-25/2, 0, 1
Let i(v) be the second derivative of -3*v**5/160 + v**4/32 + 3*v**3/8 - 18*v - 8. Factor i(u).
-3*u*(u - 3)*(u + 2)/8
Factor 1221/4*b - 102 + 399/4*b**3 + 3/4*b**4 - 1215/4*b**2.
3*(b - 1)**3*(b + 136)/4
Let n = -6 + 10. Let m be n/(-22) + (-145)/(-11). Find l, given that -6*l**2 - 3*l**5 - l**4 - 10*l + 7*l**4 + m*l = 0.
-1, 0, 1
Let g(l) be the first derivative of -l**6/24 + l**5/4 - 10*l**3/3 + 15*l**2/2 - 7. Let x(h) be the second derivative of g(h). Factor x(m).
-5*(m - 2)**2*(m + 1)
Let n(s) be the second derivative of 1/24*s**4 + 0 - 1/120*s**5 + 0*s**2 - 1/18*s**3 - 9*s. Suppose n(u) = 0. Calculate u.
0, 1, 2
Suppose 5*l + 6*l = 0. Suppose l = 6*h - 9*h. Factor 4/3*f + h - 4/3*f**2.
-4*f*(f - 1)/3
Let l be 12 + (-6 + 4)*3. Factor -34/5*z - 4/5 - l*z**2.
-2*(z + 1)*(15*z + 2)/5
Let n(v) = 2*v**2 + 5*v - 7. Let y(x) = 2*x**2 + 6*x - 8. Let f(b) = -6*n(b) + 7*y(b). Factor f(w).
2*(w - 1)*(w + 7)
Let u(m) = 3*m**2 - 22*m + 11. Let d be u(9). Let s = 113/2 - d. Factor -s - 3*v**2 + 2*v + 2*v**3 - 1/2*v**4.
-(v - 1)**4/2
Factor -2*u**2 - 2/5*u**3 - 6/5 - 14/5*u.
-2*(u + 1)**2*(u + 3)/5
Let j be (0*(-5)/25)/(3 + -5). Let v(t) be the second derivative of -1/6*t**4 + 2*t + 0*t**2 + 0 + j*t**5 + 0*t**3 + 1/15*t**6. Find k, given that v(k) = 0.
-1, 0, 1
Factor -2327 + 1015*f + 2*f**3 + 25*f + 226 - 86*f**2 - 299.
2*(f - 20)**2*(f - 3)
Let x(l) be the first derivative of -l**6/18 - l**5/3 - 3*l**4/4 - 7*l**3/9 - l**2/3 - 76. Factor x(c).
-c*(c + 1)**3*(c + 2)/3
Find o such that -33 - 22 + 24*o - 13*o - 6*o - 5*o**3 + 55*o**2 = 0.
-1, 1, 11
Let t(p) = -192*p - 765. Let i be t(-4). Factor 8/5 + 1/5*j**i + 12/5*j + 6/5*j**2.
(j + 2)**3/5
Let o = -56 - -58. Let k(y) = -y**5 - 4*y**4 + 4*y**3 - 2*y**2. Let d(v) = -2*v**5 - 3*v**4 + 4*v**3 - v**2. Let l(q) = o*k(q) - 3*d(q). Factor l(x).
x**2*(x - 1)*(x + 1)*(4*x + 1)
Let m(q) be the third derivative of -q**6/8 + 11*q**5/12 - 5*q**4/4 - 10*q**2 + 9*q. Let m(d) = 0. Calculate d.
0, 2/3, 3
Let g = -23 + 13. Let a be (4/(-5))/(4/g). Factor 3*m**a + 0*m**2 + m**3 + 2*m**3.
3*m**2*(m + 1)
Suppose -5*l + 3 + 2 = 2*i, -10 = -3*i - 5*l. Factor -3*c**3 + 2*c**3 + i*c**3.
4*c**3
Find w, given that -14/9*w**5 - 4/3*w + 0 + 38/9*w**2 - 38/9*w**4 + 26/9*w**3 = 0.
-3, -1, 0, 2/7, 1
Let p(t) = t**3 + 3*t**2 - 10*t + 12. Let g be p(-5). Let l be 25/20 - (-9)/g. Suppose 0 + 2/7*b**l - 8/7*b**3 + 0*b + 6/7*b**4 = 0. Calculate b.
0, 1/3, 1
Let p(z) be the second derivative of 3*z**5/20 + 19*z**4/2 - z**3/2 - 57*z**2 - 410*z + 1. Suppose p(n) = 0. What is n?
-38, -1, 1
Let c(t) be the third derivative of 11*t**5/36 + 175*t**4/72 + 5*t**3/3 + 4*t**2 + 8. Factor c(w).
5*(w + 3)*(11*w + 2)/3
Let k be ((-8)/(-28) - 8/28)/(-5). Let n(u) be the third derivative of 0*u + 1/12*u**4 + 1/30*u**6 - 8*u**2 - 1/6*u**5 + 2/3*u**3 + k. Factor n(t).
2*(t - 2)*(t - 1)*(2*t + 1)
Let w(i) be the first derivative of i**6/900 - i**5/150 + 3*i**3 - 8. Let s(t) be the third derivative of w(t). What is h in s(h) = 0?
0, 2
Let c(r) be the second derivative of 8/3*r**3 - 2*r - 3/5*r**5 + 0*r**2 - 1/15*r**6 + 1/21*r**7 + 0 + 2/3*r**4. Factor c(p).
2*p*(p - 2)**2*(p + 1)*(p + 2)
Suppose s - 22 = -3*s + 2*q, 5*s + 5*q + 10 = 0. Solve 50*a - a**3 - 4*a**s + 161*a**2 - 146*a**2 = 0 for a.
-2, 0, 5
Let h be 954/(-54) + 19 + -2*2/4. Suppose 4/3*v - h*v**3 + 1/3*v**2 - 4/3 = 0. Calculate v.
-2, 1, 2
Let u(m) = -m**2 + 15*m - 38. Let f be u(3). Let p be ((-15)/f)/(22 + -16). Determine l so that p*l**2 - 3/4*l - 9/4 - 1/4*l**3 = 0.
-1, 3
Let t(s) = -5*s**4 - 7*s**3 - 3*s**2 + 15. Let p(n) = -3*n**4 - 4*n**3 - n**2 + 8. Let x(i) = -7*p(i) + 4*t(i). Suppose x(u) = 0. Calculate u.
-2, -1, 1, 2
Let c(i) = 3*i**3 + i**2 + 5*i + 1. Let q(j) = -7*j**3 - j**2 - 11*j - 2. Let a = -21 - -16. Let b(z) = a*c(z) - 2*q(z). Suppose b(u) = 0. What is u?
-1
Let c(p) = -p**2 + 68*p + 2. Let h be c(0). Factor 0 + 4/3*t**h - 8/3*t + 2/3*t**3 - 1/3*t**4.
-t*(t - 2)**2*(t + 2)/3
Let f(v) = v**2 - 17*v + 33. Let n be f(14). Let j be ((-6)/20)/(3 - n/(-2)). Factor -1/5*g**3 - 1/5 + j*g + 1/5*g**2.
-(g - 1)**2*(g + 1)/5
Let r(l) be the third derivative of l**8/84 - 2*l**7/105 - l**6/10 + l**5/3 - l**4/3 - 176*l**2. Find f such that r(f) = 0.
-2, 0, 1
Let c(w) be the second derivative of -w**5/12 + 5*w**4/18 + 5*w**3/18 - 5*w**2/3 - 31*w. Find j, given that c(j) = 0.
-1, 1, 2
Determine s, given that 0 - 32*s - 4/3*s**2 = 0.
-24, 0
Let n(j) be the second derivative of j**6/840 - j**5/210 + j**4/168 + 6*j**2 + 6*j. Let p(v) be the first derivative of n(v). Factor p(t).
t*(t - 1)**2/7
Let p(n) = 10*n**2 - 45*n - 305. Let m(w) = w**2 - 5*w - 34. Let j be (7/3)/(6/90). 