 5*r(n). Factor a(q).
-3*(q - 2)*(q + 1)**2
Let r(u) = u**2 + 3*u - 1. Let n be r(-4). Suppose -3*d**2 - 3*d**5 + 3 - 3*d**2 - 3*d + 2*d**3 + 3*d**4 + 4*d**n = 0. Calculate d.
-1, 1
Let r(n) = 2*n**2 + n. Let m be r(1). Factor 3 + 8*f + m*f**2 - 3*f + 0*f + f.
3*(f + 1)**2
Let h = 8 + -8. Let y(r) be the third derivative of h + 4/21*r**4 - 1/10*r**5 - 4/21*r**3 + 3/140*r**6 + 0*r + 2*r**2. Let y(m) = 0. What is m?
2/3, 1
Factor 18*v**2 - 3*v**4 - 12*v**4 - 4*v + 7*v**3 - 3*v**4 - 3*v**3.
-2*v*(v - 1)*(v + 1)*(9*v - 2)
Determine j, given that -5/3*j**2 - 4/3 - 1/3*j**3 - 8/3*j = 0.
-2, -1
Let q(t) = -17*t - 440. Let u be q(-26). Factor 4/3*c - 2/3*c**2 + u.
-2*(c - 3)*(c + 1)/3
Let n = 5/27 - -71/54. Let x(r) be the first derivative of -1/2*r**2 + 0*r - 1/2*r**5 - 3 - n*r**4 - 3/2*r**3. Let x(h) = 0. Calculate h.
-1, -2/5, 0
Suppose -6*b = -2*b. Let a(t) be the third derivative of b + t**2 - 2/9*t**3 - 1/180*t**5 + 0*t + 1/18*t**4. Factor a(k).
-(k - 2)**2/3
Solve -2*j**3 + 151 - 8*j**2 - 10*j - 306 + 151 = 0 for j.
-2, -1
Let z(p) be the first derivative of 2 + 0*p**2 - 1/8*p**4 + 1/6*p**3 + 0*p. Suppose z(f) = 0. What is f?
0, 1
Factor 29*n**2 - 3*n - 33*n**2 - n.
-4*n*(n + 1)
Let q(p) = p**3 + 11*p**2 + 11*p - 22. Let t be q(-10). Let y = t + 36. Solve -1/2*o**2 - 2*o**5 + 0*o - 4*o**y + 0 - 5/2*o**3 = 0 for o.
-1, -1/2, 0
Let k be ((-21)/(-168))/(1/10). Suppose 1/4 + 7/4*s**2 - k*s + s**5 - 2*s**4 + 1/4*s**3 = 0. Calculate s.
-1, 1/2, 1
Suppose 2*p**3 + p**3 - 4*p + p**3 + 4*p**4 - 3*p**2 - p**2 = 0. What is p?
-1, 0, 1
Let r(a) be the third derivative of -a**6/480 - 3*a**5/80 - 9*a**4/32 - 9*a**3/8 - 3*a**2. Factor r(t).
-(t + 3)**3/4
Let t(y) be the first derivative of 2*y**3/9 - 2*y/3 + 9. Factor t(v).
2*(v - 1)*(v + 1)/3
Let h(a) be the third derivative of -a**8/896 + a**6/320 - 4*a**2. Factor h(g).
-3*g**3*(g - 1)*(g + 1)/8
Find m, given that -24/5*m + 12/5*m**2 + 3/5*m**5 + 18/5*m**3 - 3*m**4 + 0 = 0.
-1, 0, 2
Let n(j) = j + 5. Let a be n(-4). Let d(r) = 2*r**2 + 2*r - 1. Let h be d(a). Factor -2/3*b**h - 2/3*b**2 + 0*b + 0.
-2*b**2*(b + 1)/3
Let 14/9*l + 4/3*l**2 + 0 - 2/9*l**3 = 0. Calculate l.
-1, 0, 7
Let j be (-6)/10 - 2/(-2). Factor 4/5*v**3 + 4/5*v**2 + 2/5*v**5 + j - 6/5*v**4 - 6/5*v.
2*(v - 1)**4*(v + 1)/5
Let q be (-4)/(-14) - 95/(-35). Suppose -1 - q = -s. Suppose -4*g**s - g + 3*g**3 + 3*g**3 - g = 0. What is g?
-1/2, 0, 1
Let q(m) be the second derivative of m**7/126 + m**6/90 - m**5/60 - m**4/36 + 4*m. What is z in q(z) = 0?
-1, 0, 1
Let k(m) be the first derivative of 4*m**6/15 + 14*m**5/25 - m**4/5 - 16*m**3/15 - 2*m**2/5 + 2*m/5 + 2. Determine s, given that k(s) = 0.
-1, 1/4, 1
Let c = -46/27 - -649/27. Let w = c + -22. Find u, given that w*u + 1/3*u**2 + 0 = 0.
-1, 0
Factor 3/2*o**4 + 90*o + 54 + 111/2*o**2 + 15*o**3.
3*(o + 2)**2*(o + 3)**2/2
Let x(b) = -b**3 + 8*b**2 - 8*b + 10. Let d be x(5). Let h = d + -133/3. Factor -4/3 - 2*v - h*v**2.
-2*(v + 1)*(v + 2)/3
Let q(r) be the second derivative of 9*r**5/20 - 5*r**4/4 - 8*r**3 + 18*r**2 - 6*r - 4. Suppose q(c) = 0. Calculate c.
-2, 2/3, 3
Let o(i) be the first derivative of i**5/30 + i**4/4 + 2*i**3/3 - 3*i**2 - 6. Let q(l) be the second derivative of o(l). Factor q(d).
2*(d + 1)*(d + 2)
Suppose -2*t - 23 = 9. Let a = 19 + t. Factor -2/9*l + 0 - 2/9*l**a - 4/9*l**2.
-2*l*(l + 1)**2/9
Let b(n) be the third derivative of 0 - 7/40*n**4 + 0*n - 5*n**2 + 1/5*n**3 + 1/20*n**5. Solve b(y) = 0 for y.
2/5, 1
Let p be ((-628)/(-30))/(8/(-10)). Let s = -51/2 - p. Find v, given that 2/3*v**4 - 4/3*v**2 - s*v + 2/3 + 4/3*v**3 - 2/3*v**5 = 0.
-1, 1
Let w(h) = 3*h**3 - 2*h + 1. Let f be w(1). Factor -1/4*s**f + 0*s + 1/4.
-(s - 1)*(s + 1)/4
Factor -14/17*q + 12/17 - 6/17*q**2.
-2*(q + 3)*(3*q - 2)/17
Let a = -3 + 3. Suppose a*n + 1/2*n**2 + 0 = 0. What is n?
0
Let o(j) be the second derivative of j**6/18 + j**5/3 + 5*j**4/9 + 3*j - 8. Factor o(s).
5*s**2*(s + 2)**2/3
Let n(j) = -2*j**4 - 14*j**3 - 10*j**2 + 2*j + 6. Let p(s) = -2*s**4 - 13*s**3 - 10*s**2 + s + 5. Let o = -5 + -1. Let m(g) = o*p(g) + 5*n(g). Factor m(u).
2*u*(u + 1)**2*(u + 2)
Let g(f) = -f**2 + 12*f + 3. Let v be g(12). Suppose -j = v*j - 12. Find y such that 3*y**3 + 4*y**2 - 4 - j*y - y**2 + 1 = 0.
-1, 1
Suppose 0 = 3*w - 2 - 25. Determine u so that 11*u**2 + 9*u - w*u**4 - 8*u**2 - 33*u**2 + 39*u**4 - 9*u**5 = 0.
-1, 0, 1/3, 1, 3
Let c(i) be the second derivative of i**6/15 - 3*i**5/10 + i**4/3 - 24*i. Determine n, given that c(n) = 0.
0, 1, 2
Let m(p) be the third derivative of 5*p**8/336 - 8*p**7/21 + 15*p**6/4 - 50*p**5/3 + 625*p**4/24 + 47*p**2. Solve m(h) = 0.
0, 1, 5
Let y = 31/3 - 10. Suppose -3/2*o + y + 2/3*o**2 = 0. What is o?
1/4, 2
Let a be ((-24)/28)/(12/(-42)). Factor -2/3*d**2 - 1/3 - 1/6*d**a - 5/6*d.
-(d + 1)**2*(d + 2)/6
Solve 6 - 12*z + 9*z**2 - 2 - 5*z**2 + 4 = 0 for z.
1, 2
Solve 1/3 - 2/3*g**3 - 1/3*g**4 + 0*g**2 + 2/3*g = 0.
-1, 1
Let q be (-4)/4*(1 - 1). Suppose q = m + 3*m. Factor 2*y**2 - y + m*y - y**3 + 0*y**3.
-y*(y - 1)**2
Let f = 55/2 + -27. Let r(q) = -q**2 - 6*q - 3. Let c be r(-1). Factor -3/2*x - 1 - f*x**c.
-(x + 1)*(x + 2)/2
Let l(d) = -d**2 + d + 2. Let o be l(0). Suppose 5*m + 2*p - 1 = 5, -3 = -o*m - p. What is u in 0*u + m*u**2 - 4/7*u**4 - 2/7*u**5 + 0 - 2/7*u**3 = 0?
-1, 0
Let x be (16 - 1) + (4 - 3). Let j = -12 + x. Factor 1/2 + 0*n - n**2 + 0*n**3 + 1/2*n**j.
(n - 1)**2*(n + 1)**2/2
Let c = -1735 + 13365/7. Let k = c + -174. Suppose 2/7*r**2 + k - 4/7*r = 0. What is r?
1
What is t in -3/2 + 3/2*t**2 + 0*t = 0?
-1, 1
Solve -26/7*u**2 + 4/7*u - 34/7*u**4 + 0 + 8/7*u**5 + 48/7*u**3 = 0 for u.
0, 1/4, 1, 2
Suppose 32 - 16*o - 128*o**3 - 1064*o**2 + 2194*o**3 + 482*o**3 = 0. Calculate o.
-2/13, 2/7
Let w(b) = 4*b**2 + 3*b + 2. Let d be w(-1). Solve -2/5*x**4 - 4/5 - 18/5*x**2 - 14/5*x - 2*x**d = 0.
-2, -1
Let a = 320 + -1592/5. Let -28*f**3 + a - 56/5*f + 10*f**4 + 138/5*f**2 = 0. Calculate f.
2/5, 1
Let r(l) be the third derivative of 0*l**3 - 1/180*l**6 - 1/90*l**5 + 0*l**4 + 0*l + 2*l**2 + 0. Factor r(z).
-2*z**2*(z + 1)/3
What is t in -1/3*t**2 + 2/3*t + 1 = 0?
-1, 3
Let u be 28/42 + (0 - 2/12). Determine d so that 5/2*d**3 - u + 0*d**2 + 3/4*d**5 + 5/2*d**4 - 5/4*d = 0.
-1, 2/3
Let q(i) be the second derivative of i**7/168 - i**5/40 + i**3/24 - 3*i. Solve q(z) = 0 for z.
-1, 0, 1
Let -24/5*j + 2/5*j**5 - 2/5*j**3 + 22/5*j**2 + 8/5 - 6/5*j**4 = 0. What is j?
-2, 1, 2
What is d in -5 - 3 + 12*d + 3*d**2 + d**2 - 8*d = 0?
-2, 1
Let n be (-1)/(((-9)/6)/3). Let c(k) be the first derivative of 8/45*k**5 - 1/27*k**6 + 1 - 1/9*k**n - 1/3*k**4 + 0*k + 8/27*k**3. Solve c(r) = 0 for r.
0, 1
Let p(i) be the third derivative of -i**7/5040 - i**6/360 - i**5/60 + i**4/24 - 2*i**2. Let s(u) be the second derivative of p(u). Solve s(w) = 0.
-2
Let c(y) be the second derivative of y**5/50 - 2*y**4/15 + y**3/5 + 24*y. Solve c(z) = 0.
0, 1, 3
Let f be ((-4)/(-10))/(-2) + 1407/1785. Suppose -10/17*s**3 + f*s + 4/17 - 4/17*s**2 = 0. What is s?
-1, -2/5, 1
Suppose 5*v - 5*n - 40 = 0, 4 = 5*n + 29. Factor 0 - 34/3*z**4 - 22/3*z**2 - 4/3*z - 14*z**v - 10/3*z**5.
-2*z*(z + 1)**3*(5*z + 2)/3
Find m such that 0*m + 8/9*m**2 + 0*m**3 + 2/9*m**5 - 2/3*m**4 + 0 = 0.
-1, 0, 2
Factor 200/3 + 160/3*z - 38/3*z**2 + 2/3*z**3.
2*(z - 10)**2*(z + 1)/3
Let v = 9 - 12. Let r = 7 + v. Find h such that -2/7*h**5 + 0 + 0*h**3 - 4/7*h**r + 2/7*h + 4/7*h**2 = 0.
-1, 0, 1
Let n(w) be the first derivative of 2 - w + 1/2*w**2. Let b(o) = o**3 - 1. Let k(f) = 2*b(f) - 2*n(f). Determine h, given that k(h) = 0.
-1, 0, 1
Let y be (-2)/5*(-90)/144. Let n(j) be the second derivative of 4*j + 0 + 1/12*j**4 + y*j**2 - 5/24*j**3 - 1/80*j**5. Factor n(p).
-(p - 2)*(p - 1)**2/4
Let o = -130 + 90. Let p = o + 41. Find v such that 1/3*v**2 + 4/3*v + p = 0.
-3, -1
Suppose -5*o + 8 = -o. Find x, given that -2/3*x + 1/3*x**o + 1/3 = 0.
1
Let r(d) = 3*d - 1. Let o be r(2). Let b(x) = x**3 + 9*x**2 + 7*x - 2. Let f be b(-8). Factor 3*l - f*l**2 - o*l + 9*l**2 - l**4.
-l*(l - 1)**2*(l + 2)
Let j(s) be the first derivative of -s**3/6 + 11. Factor j(m).
-m**2/2
Let l(j) = -9*j**4 - 12*j**3 + 6*j**2 + 12*j - 3. Let v(u) = -u**4 - u**3 + u**2 + u - 1. Let b(s) = -l(s) + 6*v(s). Factor b(p).
3*(p - 1)*(p + 1)**3
Let x(d) = -d**3 +