4 + -2 + 5. Determine t, given that s - 2/3*t**2 + 1/3*t + 1/3*t**3 = 0.
0, 1
Factor b**3 + 1/3*b - b**2 - 1/3*b**4 + 0.
-b*(b - 1)**3/3
Suppose -2*q = -q - 3, -4*y = 3*q - 29. Factor -m**3 - 32*m**4 + 3*m**3 + 32*m**4 - 2*m**y.
-2*m**3*(m - 1)*(m + 1)
Let v(b) be the third derivative of -b**5/120 - b**4/12 - b**3/3 - 6*b**2. Find w, given that v(w) = 0.
-2
Let x(l) be the third derivative of l**7/210 + l**6/30 + l**3/3 - 10*l**2. Let p(f) be the first derivative of x(f). Determine d so that p(d) = 0.
-3, 0
Suppose 0 = 4*z - 28 + 8. Factor -c + 3*c**2 - 2 + 5*c - z*c**2.
-2*(c - 1)**2
Let s = 9 + -6. Let w be 0 + (s - 24/9). Factor 1/3*j + 2/3 - w*j**2.
-(j - 2)*(j + 1)/3
Let k(h) be the third derivative of 0*h**4 - 1/210*h**5 + 0*h + 1/21*h**3 - 2*h**2 + 0. Factor k(u).
-2*(u - 1)*(u + 1)/7
Let u(i) = -i**2 - i + 1. Let w = 7 - 9. Let q(t) = t**2 + 4*t - 3. Let b(x) = w*u(x) - q(x). Find z such that b(z) = 0.
1
Let k(i) be the third derivative of 0*i + 1/30*i**5 - 3*i**2 - 1/6*i**4 + 0 + 0*i**3. Determine r so that k(r) = 0.
0, 2
Let v = -179 + 1255/7. Factor v + 2/7*s**2 - 4/7*s.
2*(s - 1)**2/7
Let d(m) be the third derivative of -m**5/420 - m**4/84 - m**3/42 + 6*m**2. Solve d(p) = 0.
-1
Let u be (-1545)/(-36) + (-12)/18. Factor -1 - u*n**2 - 13*n.
-(13*n + 2)**2/4
Factor -4/15*b - 2/15*b**2 + 0.
-2*b*(b + 2)/15
Let v(u) be the third derivative of -u**5/6 - 25*u**4/24 + 5*u**3/2 + 4*u**2. What is j in v(j) = 0?
-3, 1/2
Let m(i) be the second derivative of -1/66*i**4 - i + 1/110*i**5 - 4/33*i**3 + 0 + 4/11*i**2. Determine v, given that m(v) = 0.
-2, 1, 2
Let h = -8 - -4. Let d(k) = 3*k**4 - 10*k**2 + 4*k - 1. Let l(q) = 7*q**4 - q**3 - 21*q**2 + 8*q - 2. Let r(i) = h*l(i) + 9*d(i). Factor r(s).
-(s - 1)**4
Let y(u) be the third derivative of u**7/1365 + u**6/390 - u**4/78 - u**3/39 + 7*u**2. Factor y(m).
2*(m - 1)*(m + 1)**3/13
Let k(g) = -5*g**2 - 3*g + 9. Let v be k(6). Let w be (-3)/2*72/v. Determine s so that 50/7*s**3 - 4*s**4 - 26/7*s**2 + 0 + w*s = 0.
0, 2/7, 1/2, 1
Suppose -3*m + 1 = k, -4*k + 0*k - 5*m + 4 = 0. Determine q, given that -4 + 0 + 2*q**2 + 4*q - k - 1 = 0.
-3, 1
Let i(t) be the third derivative of -t**6/40 - t**5/8 - t**4/4 - t**3/4 - 10*t**2 + 2*t. Determine a, given that i(a) = 0.
-1, -1/2
Let o be ((-4)/6)/(1/(-12)). Suppose -19 + 4 - 4*y**4 + 9 + 2 + o*y**2 = 0. What is y?
-1, 1
Suppose -7*l + 632 - 3*l - 25*l**2 - 632 = 0. Calculate l.
-2/5, 0
Let j = 0 - 50. Let h be (-10)/8*20/j. Factor 1/2*s**2 + h*s + 0.
s*(s + 1)/2
Let l(c) be the first derivative of c**5 - 2/3*c**3 + 0*c + 0*c**2 - 6 - 3/4*c**4. Determine y, given that l(y) = 0.
-2/5, 0, 1
Let n(i) be the third derivative of -2/105*i**7 + 0*i**3 - 1/36*i**4 - 4*i**2 + 1/90*i**6 + 0 + 1/36*i**5 + 0*i. Solve n(k) = 0.
-2/3, 0, 1/2
Let j be -2*2/(-4)*-9. Let s = j - -12. Suppose w + 108*w**2 + s*w + 6 - 35*w - 20*w = 0. Calculate w.
2/9, 1/4
Let g = 30 + -28. Let y(u) be the first derivative of 1/4*u**4 + 0*u**2 + 1/6*u**3 + g + 0*u + 1/10*u**5. Factor y(f).
f**2*(f + 1)**2/2
Let k(a) be the first derivative of -2*a**5 - 4*a**4 - 2*a**3/3 + 2*a**2 - 9. What is x in k(x) = 0?
-1, 0, 2/5
Let q be (-58)/145 - (-86)/40. Factor q*l - 5/4*l**2 - 1/2.
-(l - 1)*(5*l - 2)/4
Let k(g) = -g**4 + g**3 + g**2 - 1. Let a(m) = 3*m**4 - 4*m**3 - 3*m**2 + 2*m + 2. Let u(o) = -a(o) - 2*k(o). Determine t, given that u(t) = 0.
-1, 0, 1, 2
Solve j**3 - 11*j**4 - 33*j**3 - 33*j - 63*j**2 - 19*j**3 - 4*j**4 - 6 = 0.
-1, -2/5
Let w(p) be the third derivative of p**6/30 - 2*p**5/15 - 14*p**2. Determine n so that w(n) = 0.
0, 2
Let u be ((0 + 0)/3)/3. Suppose 2*i - 2*k - 3*k + 7 = u, -8 = i - 4*k. Let 2/5*d**3 - 2/5*d**i - 2/5*d**5 + 2/5*d**2 + 0 + 0*d = 0. Calculate d.
-1, 0, 1
Let l(x) = x**2 + 9*x + 9. Let t be l(-8). Suppose -t = -2*a + 3. Factor -2*r**4 + 0*r**5 + 4*r**2 + r - r**5 - 2*r**a.
-r*(r - 1)*(r + 1)**3
Factor 0*a + 2/11*a**2 + 0 + 2/11*a**5 + 6/11*a**3 + 6/11*a**4.
2*a**2*(a + 1)**3/11
Let x(h) be the first derivative of 8*h**6/3 - 88*h**5/15 - 29*h**4/12 + 28*h**3/9 - 2*h**2/3 + 8. Let x(n) = 0. Calculate n.
-2/3, 0, 1/4, 2
Suppose 5*z - 20 = 0, 4*q - z + 6*z - 8 = 0. Let o be q - -7 - (0 - -2). Find r such that 8/3*r**4 - r**5 + 1/3*r + 0*r**o - 2*r**3 + 0 = 0.
-1/3, 0, 1
Factor 2*i**2 - i + i - 6 + 2 + 2*i.
2*(i - 1)*(i + 2)
Let r(y) be the second derivative of y**7/70 + 3*y**6/50 + 9*y**5/100 + y**4/20 + 4*y. Factor r(f).
3*f**2*(f + 1)**3/5
Let i(w) be the second derivative of w**8/896 + w**7/240 + w**6/240 - 2*w**4/3 + 2*w. Let r(l) be the third derivative of i(l). Factor r(u).
3*u*(u + 1)*(5*u + 2)/2
Let q(s) = -2*s + 11. Let t be q(5). Factor 0 + t - 5 + 1 - 3*n**2 + 6*n.
-3*(n - 1)**2
Let -4/9*s**2 + 56/9*s - 196/9 = 0. What is s?
7
Let w(q) be the second derivative of -1/24*q**3 - 2*q - 1/48*q**4 + 0 + 0*q**2. Factor w(v).
-v*(v + 1)/4
Suppose 4*i**2 - 2*i**2 + 12 + 4*i - 4 + 6*i = 0. Calculate i.
-4, -1
Let y = 23 + -19. Let r = 0 - 0. Factor r*q + 10/3*q**3 - 8/3*q**y + 0 - 2/3*q**2.
-2*q**2*(q - 1)*(4*q - 1)/3
Suppose 6 + 10 = -4*r. Let x = 6 + r. Factor 4*o + o**x - 3*o + 0*o**2.
o*(o + 1)
Let f(a) = 6*a**2 + 3*a - 6. Let p(x) = -7*x**2 - 3*x + 6. Let t(z) = 4*f(z) + 3*p(z). Find c such that t(c) = 0.
-2, 1
Let c(z) be the second derivative of -1/48*z**4 + 1/24*z**3 - 5*z + 0 + 1/4*z**2. Factor c(n).
-(n - 2)*(n + 1)/4
Let f be 85/(-30) + 3/1. Let g(r) be the second derivative of -1/3*r**3 + 0*r**2 - r + f*r**4 + 0. Factor g(x).
2*x*(x - 1)
Let k be 6/(-1) + (10 - 1). Factor 2/3*o**2 + 2/3*o**k - o - o**4 + 1/3 + 1/3*o**5.
(o - 1)**4*(o + 1)/3
Let v(u) = -3*u**3 + 3*u**2 + 30*u - 36. Let p(s) = -s. Let o(f) = -6*p(f) - v(f). What is r in o(r) = 0?
-3, 2
Let w(r) be the second derivative of r**7/840 - r**6/120 + r**5/40 + r**4/12 - 2*r. Let d(k) be the third derivative of w(k). Factor d(p).
3*(p - 1)**2
Let q(j) = 13*j**2 - 29*j + 3. Let i(r) = 38*r**2 - 88*r + 10. Let t(l) = -3*i(l) + 8*q(l). Factor t(w).
-2*(w - 3)*(5*w - 1)
Let v(f) be the second derivative of -1/24*f**6 - 7/48*f**4 + 1/168*f**7 + 0 + 9/80*f**5 + 5*f + 0*f**2 + 1/12*f**3. What is w in v(w) = 0?
0, 1, 2
Let o(y) = y**3 - 2*y**2 + 2*y. Let t(u) = 3*u**3 - 5*u**2 + 5*u. Let z(h) = -5*o(h) + 2*t(h). Factor z(w).
w**3
Let v(f) be the third derivative of 11/60*f**5 + 7/24*f**4 + 0 - 7/120*f**6 + f**2 + 0*f - 1/3*f**3 - 3/70*f**7. Factor v(t).
-(t - 1)*(t + 1)**2*(9*t - 2)
Suppose -2/11*s**2 + 0 - 2/11*s = 0. Calculate s.
-1, 0
Suppose h - 2*i = -3*i - 7, -3*h - 22 = 4*i. Let q(f) = -3*f**4 + f**2 + 4*f. Let k(m) = 3*m**4 - m**3 - 5*m. Let p(u) = h*q(u) - 4*k(u). Factor p(b).
2*b*(b - 1)*(b + 1)*(3*b + 2)
Solve 3*x**3 - x**2 + 0*x**2 - 3*x**4 - 3*x + 4*x**2 = 0.
-1, 0, 1
Factor 1/2 - 1/2*v**2 + 0*v.
-(v - 1)*(v + 1)/2
Suppose 1 = 2*z - 5. Let d be (-5)/((15/(-2))/3). Factor -76*s + 76*s - z*s**d.
-3*s**2
Suppose f - 3*f + 42 = 0. Let p be (-2)/(-4) - f/(-6). Find n, given that -2*n**2 + 0*n**4 - n**5 + n**4 - p*n**4 + 5*n**4 + n = 0.
-1, 0, 1
Suppose 2*w - 12 = -2*w. Suppose 3*q**4 - q + 2*q**w - 3*q**2 - 5*q**3 - 4*q**4 = 0. What is q?
-1, 0
Let s(c) = -3*c - 1. Let j be s(-1). Let i be (3/j)/(2/4). Determine b, given that 12/5*b**i + 0 - 9/5*b**4 + 0*b - 4/5*b**2 = 0.
0, 2/3
Let o = -79/26 + 5957/1430. Let n = o + -8/11. Factor -2/5 + 0*f + n*f**2.
2*(f - 1)*(f + 1)/5
Let s = 26 + -23. Suppose 5*y + 0*j - j + 3 = 0, -s*y - j = -3. Factor 2/9*x + y - 2/9*x**2.
-2*x*(x - 1)/9
Let b = 11 + -7. Suppose -10 = -b*m + 2. Factor -3*n**m - n**5 + 2*n**5 + 2*n**3.
n**3*(n - 1)*(n + 1)
Let t = -15 - -17. Determine a so that 6*a**3 - 2*a - 2*a**2 + 2*a**3 + t - 6*a**3 = 0.
-1, 1
Let a be 35/49 + (-4)/(-14). Let d(t) be the first derivative of a + 0*t**3 + 0*t**5 + 0*t**2 - 1/4*t**4 + 0*t + 1/6*t**6. Find w such that d(w) = 0.
-1, 0, 1
Let d(i) be the first derivative of i**6/8 - 3*i**5/10 - 33*i**4/16 + 3*i**3 + 27*i**2/2 - 3. Factor d(n).
3*n*(n - 3)**2*(n + 2)**2/4
Suppose 5*i - 7 = 2*m, 0*i = m + 3*i - 2. Let p be m/10 - (-1)/2. Determine c so that 0 + 0*c - 2/5*c**4 - p*c**2 + 4/5*c**3 = 0.
0, 1
Let h be (-5)/1*(-8)/10. Let x(a) = 2*a - 32. Let t be x(18). Factor -5*u**5 + 14*u**t - 6*u**3 + 2*u**5 - 5*u**h.
-3*u**3*(u - 2)*(u - 1)
Let q(g) be the first derivative of g**6/60 + g**5/40 - g**4/8 - g**