 Factor z**4 + 2*z**2 + z**3 - i*z**4 + 3*z**3 - 6*z**3 + 2*z**5.
2*z**2*(z - 1)**2*(z + 1)
Find l, given that -311*l + 629*l - 256*l - 2*l**2 = 0.
0, 31
Suppose 3*a + 60 = 9. Let f = a + 19. Factor -29*i**4 + 165*i**f + 14*i**3 + 9*i**5 + 10*i**3 - 169*i**2.
i**2*(i - 2)*(i - 1)*(9*i - 2)
Suppose -33/4*s - 3/2*s**4 - 63/4*s**3 - 153/4*s**2 + 63/4 = 0. What is s?
-7, -3, -1, 1/2
Let c = 65 + -30. Let r be (c/(-10))/7*-6. Determine i so that 0 + 24/7*i**r - 16/7*i**2 - 16/7*i**4 + 4/7*i**5 + 4/7*i = 0.
0, 1
Let k = 269 + -268. Let x(l) be the first derivative of 3/2*l**4 + 3/2*l**2 + 0*l + 5*l**3 - 24/5*l**5 - k. Let x(s) = 0. Calculate s.
-1/2, -1/4, 0, 1
Let t(h) be the second derivative of h**7/735 + h**6/420 - 2*h**5/105 - h**4/21 + h**2 + 5*h. Let k(u) be the first derivative of t(u). Solve k(o) = 0.
-2, -1, 0, 2
Let d(j) = j**3 - j**2 - 1. Suppose -s + 5 - 2 = 0. Let w(f) = -5*f**2 - s*f**3 + f - f + 8*f - 1. Let h(m) = d(m) - w(m). Suppose h(z) = 0. What is z?
-2, 0, 1
Let u(w) be the third derivative of w**5/12 + 5*w**4/24 - 5*w**3/3 - 5*w**2 - 5*w. Determine m so that u(m) = 0.
-2, 1
Let l(s) be the third derivative of s**6/420 + s**5/210 - s**4/42 - s**2 + 53. Factor l(f).
2*f*(f - 1)*(f + 2)/7
Let u(b) be the second derivative of -b**7/10080 - b**6/1440 + 5*b**4/4 + 15*b. Let t(n) be the third derivative of u(n). Find o such that t(o) = 0.
-2, 0
Find c such that 28*c**5 - 394*c**4 + 113*c**4 - 36*c**3 + 92*c**4 - 20*c**2 + 112*c**4 + 8*c + 97*c**4 = 0.
-1, 0, 2/7, 1
Let f be ((-72)/1008)/(1/(-2)). Solve -4/7 - f*q**3 + 0*q + 3/7*q**2 = 0.
-1, 2
Suppose -5*p + 1 = -9. Suppose -1 = w + 2*g - 15, -5*w + 10 = -2*g. Factor p*q**2 - 2*q + q + 2*q**4 + q + w*q**3.
2*q**2*(q + 1)**2
Let l(k) be the first derivative of -5*k**3/6 - 20*k**2 - 58. Determine u so that l(u) = 0.
-16, 0
Let f be (33 - 34)*2/(-1). Determine g so that 2*g + f + 1/2*g**2 = 0.
-2
Let i be 1910/14325 + ((-948)/50)/((-126)/20). Find l such that 4/7*l + i*l**2 + 0 = 0.
-2/11, 0
Let w(q) be the third derivative of q**5/210 - 25*q**4/84 - 59*q**2 - 2. Determine h so that w(h) = 0.
0, 25
Suppose -2*z - q + 0*q = -9, z - 4*q = -9. Factor -15*h**2 - 5*h**z + 12 + h**3 + 9*h + 3*h**4 - 5*h**3.
3*(h - 4)*(h - 1)*(h + 1)**2
Suppose 0 = 60*o - 177 - 423. Let n(k) be the second derivative of o*k + 1/18*k**4 + 0 + 2/9*k**3 + 0*k**2. Factor n(j).
2*j*(j + 2)/3
Find w, given that -288/5 - 564/5*w**2 - 172*w + 8/5*w**3 = 0.
-1, -1/2, 72
Let t(l) be the first derivative of l**6/1440 - l**4/96 + 3*l**3 - 8. Let d(c) be the third derivative of t(c). Solve d(p) = 0 for p.
-1, 1
Let n(p) = 9*p**2 - 4*p - 5. Let d(h) be the second derivative of -5*h**4/12 + h**3/3 + h**2 + 5*h. Let y(t) = 5*d(t) + 2*n(t). Solve y(l) = 0 for l.
0, 2/7
Let h be 19/(-40) + 26/52. Let t(x) be the third derivative of -h*x**6 - 1/24*x**4 + 0*x + 0*x**3 + 0 - 5*x**2 + 1/210*x**7 + 1/20*x**5. Factor t(o).
o*(o - 1)**3
Let q(t) be the third derivative of 2/9*t**3 + 8*t**2 + 17/720*t**6 - 5/36*t**4 - 17/180*t**5 + 0 + 4/315*t**7 + 0*t - 1/288*t**8. Find o such that q(o) = 0.
-1, 2/7, 2
Let s(m) = m**2 + 10*m + 4. Let l be s(-10). Suppose 19 = 4*b + 4*d - 5, -4*b = -d - l. Factor 3/2*f**b + 3/2*f - 3.
3*(f - 1)*(f + 2)/2
Let j(x) be the third derivative of -1/40*x**6 - 1/224*x**8 + 0 + 3/140*x**7 + 0*x**5 + 0*x**4 + 0*x**3 + 0*x + 10*x**2. Solve j(q) = 0.
0, 1, 2
Let f(u) be the second derivative of -1/25*u**5 + 0 - 1/75*u**6 + 2/15*u**3 + 0*u**4 + 1/5*u**2 - 10*u. Determine a so that f(a) = 0.
-1, 1
Solve -91*q - 2*q**3 + 184*q + q**2 - q**4 - 91*q = 0 for q.
-2, -1, 0, 1
Let i(s) be the second derivative of 7*s**4/4 + 3*s**3/2 - 6*s**2 - 12*s. Let b(t) = t + 1. Let y(m) = 6*b(m) + i(m). Factor y(x).
3*(x + 1)*(7*x - 2)
Factor -1944*o + 1/3*o**4 + 324*o**2 + 0 - 18*o**3.
o*(o - 18)**3/3
Let h(m) be the first derivative of -m**4/14 + 16*m**3/7 - 65*m**2/7 + 12*m - 298. Factor h(l).
-2*(l - 21)*(l - 2)*(l - 1)/7
Suppose 0 = -4*x - 0*x + 8. Let y(n) = n**3 - 6*n**2 + 8*n + 2. Let c be y(4). Factor 1 - 16*p**x + 1 - 13*p**2 + 27*p**c.
-2*(p - 1)*(p + 1)
Factor -14 - 3*c**2 - 20*c + 2*c**2 - 86.
-(c + 10)**2
Suppose 2*i - 20 = -5*c, c = 5*i + 19 - 15. Let m(j) be the third derivative of 0*j**3 + 1/40*j**6 + 0*j + 0 + j**2 - 1/20*j**5 + i*j**4. Factor m(g).
3*g**2*(g - 1)
Let y(p) be the third derivative of -p**10/45360 - p**9/11340 - 3*p**4/8 - 9*p**2. Let q(k) be the second derivative of y(k). Factor q(j).
-2*j**4*(j + 2)/3
Let j = -5 - -13. Let p = 10 - j. Let c(v) = v**2 + v + 2. Let b(h) = 1. Let w(y) = p*b(y) - c(y). Let w(n) = 0. Calculate n.
-1, 0
Let t(j) be the third derivative of j**6/900 - j**5/50 + j**4/12 + 13*j**3/6 - 4*j**2. Let s(g) be the first derivative of t(g). Factor s(q).
2*(q - 5)*(q - 1)/5
Let u(l) be the second derivative of 0*l**2 + 5/6*l**3 + 1/3*l**6 - l**5 + 5/14*l**7 + 9*l - 5/6*l**4 + 0. Find f such that u(f) = 0.
-1, 0, 1/3, 1
Let h(a) be the first derivative of 2*a**3/21 - 12*a**2/7 - 8*a + 47. Let h(n) = 0. Calculate n.
-2, 14
Let m(t) = -4*t**2 - 27*t + 19. Let z be m(-7). Suppose z = 6*n - 10*n, 4 = -4*c - 4*n. Solve -1/5*b + 1/5 - 1/5*b**c + 1/5*b**3 = 0 for b.
-1, 1
Let k(m) be the first derivative of 9 + 0*m - 1/9*m**4 - 1/180*m**5 + 2*m**2 - 8/9*m**3. Let c(v) be the second derivative of k(v). Factor c(i).
-(i + 4)**2/3
Let i(r) be the second derivative of 0*r**6 + 0*r**2 - 1/28*r**7 + 5*r + 0*r**4 + 0 - r**3 + 3/8*r**5. Solve i(x) = 0.
-2, -1, 0, 1, 2
Let x(i) be the third derivative of -1/30*i**4 + 1/5*i**3 + 0*i - 3*i**2 + 1/1200*i**6 - 1/600*i**5 + 0. Solve x(c) = 0 for c.
-3, 2
Let i(q) be the second derivative of -1/5*q**5 + 0*q**4 + 0 + 2/3*q**3 - 18*q + 0*q**2. Factor i(c).
-4*c*(c - 1)*(c + 1)
Let a(r) be the first derivative of -3*r**5/35 + 3*r**4/14 + 3*r**3/7 - 12*r**2/7 + 12*r/7 - 153. Let a(b) = 0. Calculate b.
-2, 1, 2
Suppose -2*h + h = u - 2, 4*h - 5*u - 17 = 0. Let w be (0 - 0) + h/9. Find i such that -1/3 - i**2 + w*i**3 + i = 0.
1
Let j be (175/65 + -2)*4/3. Let h = j + -23/39. Factor -m + 2/3 + h*m**2.
(m - 2)*(m - 1)/3
Suppose 16 = 2*z + 3*c, -3*z = -2*c - 16 - 21. Let j = z - -10. Solve 20*t**2 - 19*t + 55*t + j*t**2 + 16*t**3 + 7*t**2 + 8 = 0 for t.
-2, -1/2
Let g(x) be the second derivative of -3*x - 3/2*x**4 - 9/20*x**5 + 14*x**3 - 36*x**2 + 2 + 1/10*x**6. Factor g(w).
3*(w - 2)**3*(w + 3)
Suppose -57 = -10*y - 27. Let a(j) be the first derivative of -3*j**2 - 1/2*j**4 - 2 - 10/3*j**y + 18*j. Determine h so that a(h) = 0.
-3, 1
Let m = -82381/5 + 16477. Let -8/5 - 12/5*b - m*b**2 = 0. What is b?
-2, -1
Let m = -186 + 189. Let z(q) be the second derivative of 1/18*q**4 + m*q**2 + 4*q + 0 - 2/3*q**3. Suppose z(a) = 0. Calculate a.
3
Let s be ((-2082)/(-903))/((-60)/35). Let n = -1/86 - s. Factor 1/3 + 1/2*f**3 + 1/2*f - n*f**2.
(f - 2)*(f - 1)*(3*f + 1)/6
Solve -1/3*x**3 + 2*x + 5/3*x**2 + 0 = 0.
-1, 0, 6
Let j(v) = 45*v**4 - 35*v**3 + 10*v**2 - 20. Let i(k) = k**4 - 1. Let c be 4 + (-2 - -26)*-1. Let l(o) = c*i(o) + j(o). Factor l(m).
5*m**2*(m - 1)*(5*m - 2)
Let 82*x - 64 + 36*x**3 - 97*x**4 - 112*x**2 + 62*x + 93*x**4 = 0. What is x?
1, 2, 4
Let y(j) be the second derivative of 1/6*j**4 + 1/3*j**3 - 2*j - 2*j**2 + 0. Let y(q) = 0. Calculate q.
-2, 1
Let v(s) be the third derivative of -s**8/84 + 4*s**7/35 + 11*s**6/30 - 4*s**5 - 50*s**4/3 + 5*s**2 + 8. Factor v(m).
-4*m*(m - 5)**2*(m + 2)**2
Suppose 6 = 2*n + n. Suppose 0 = -n*u + 4*h - 8, -2 = -3*h + 7. Suppose 2*f**5 - 2*f**3 - 3 + 6*f + 4*f**u - 1 - 6*f**3 = 0. Calculate f.
-2, -1, 1
Solve -2/13*r**3 + 96/13*r**2 + 0 - 94/13*r = 0.
0, 1, 47
Let j(d) be the third derivative of 1/180*d**5 - 4*d**2 + 0*d + 0*d**4 + 0*d**3 + 1/336*d**8 - 1/120*d**6 - 1/630*d**7 + 0. Suppose j(v) = 0. Calculate v.
-1, 0, 1/3, 1
Suppose -5*z + 73 + 72 = 0. Let f = z - 26. Factor -7*c - f*c + 2*c + 3*c**3 - 6 - c.
3*(c - 2)*(c + 1)**2
Let c(z) = -5*z - 6. Let l be c(-2). Factor l*w**5 - 6*w + 3*w**2 + 16 + 25*w + 13*w + w**2 - 20*w**3 - 4*w**4.
4*(w - 2)**2*(w + 1)**3
Let q = 5075 + -15224/3. Determine f so that q*f**2 + 2/3 + f = 0.
-2, -1
Let k = -5 - -6. Let t be ((-1)/(-25) - k)*-5. Find l such that -t*l + 3/5*l**2 + 48/5 = 0.
4
Let s(l) = 12*l**4 - 73*l**3 + 41*l**2 + 17*l + 3. Let d(k) = -11*k**4 + 74*k**3 - 43*k**2 