)*(r + 1)**2/3
Let u(r) = 5*r**4 + 17*r**3 + 13*r**2 - 17*r + 9. Let m(d) = -d**4 - 4*d**3 - 3*d**2 + 4*d - 2. Let t(f) = 18*m(f) + 4*u(f). Let t(o) = 0. What is o?
-1, 0, 1, 2
Suppose b = 5*b. Factor -1/2*s**3 + 1/2*s**2 - 1/2*s**4 + 1/2*s + b.
-s*(s - 1)*(s + 1)**2/2
Suppose 14*a - 12*a = 0. Let u(s) be the third derivative of 2*s**2 + a*s + 0 + 0*s**4 + 0*s**3 + 1/210*s**5. Factor u(g).
2*g**2/7
Let p = -2 + 4. Let l = 9 - 6. Factor 4 + 8*c**2 + 2*c**3 - 4*c**l - 8*c - p*c.
-2*(c - 2)*(c - 1)**2
Let i be ((-135)/(-300))/((-2)/(-16)). Suppose -2/5*l**2 + 12/5*l - i = 0. Calculate l.
3
Let m(s) = 180*s**3 + 464*s**2 - 896*s + 304. Let g(i) = -36*i**3 - 93*i**2 + 179*i - 61. Let z(c) = 16*g(c) + 3*m(c). Factor z(j).
-4*(j + 4)*(3*j - 2)**2
Factor -18/5*a - 3/5 + 21/5*a**2.
3*(a - 1)*(7*a + 1)/5
Determine k, given that 2*k**2 - 10/9*k + 4/9*k**4 + 2/9 - 14/9*k**3 = 0.
1/2, 1
Let v(a) be the third derivative of a**5/45 - 2*a**3/9 + 7*a**2. Factor v(x).
4*(x - 1)*(x + 1)/3
Let v(u) = -12*u**2 + 22*u - 20. Let x(l) = -17*l**2 + 33*l - 30. Let k(z) = 7*v(z) - 5*x(z). Factor k(j).
(j - 10)*(j - 1)
Factor 1/4*j**5 - 1/2*j**4 + 0 + 0*j**2 + 0*j + 1/4*j**3.
j**3*(j - 1)**2/4
Let a = 4 + -2. What is k in -2*k**3 + 3*k - 4*k**a - 4*k - 3*k + 10*k**2 = 0?
0, 1, 2
Let v(t) be the first derivative of t**4/14 + 2*t**3/7 + 2*t**2/7 - 15. Solve v(n) = 0 for n.
-2, -1, 0
Let f(l) be the first derivative of 3*l**5/5 - 3*l**4 + 3*l**3 + 6*l**2 - 12*l - 5. Find p such that f(p) = 0.
-1, 1, 2
Let 1/2 + 0*p**3 + 1/2*p**4 + 0*p - p**2 = 0. What is p?
-1, 1
Suppose -5*l = 4*v - 9 - 2, -3*v = -2*l + 9. Suppose l + 4*y**3 + 4*y**3 - 4*y**3 + 5*y**2 - 7*y - 5*y**3 = 0. Calculate y.
1, 3
Let i(v) be the third derivative of -v**5/15 + v**4/3 - 2*v**3/3 - 9*v**2. Let i(u) = 0. Calculate u.
1
Let z(s) be the third derivative of 1/105*s**7 + 1/20*s**6 + 0 - 2*s**2 + 0*s**3 + 1/12*s**4 + 1/10*s**5 + 0*s. What is f in z(f) = 0?
-1, 0
Let s(y) = y**4 - y**3 + y**2 + y + 1. Let k(h) = -4*h**4 - 2*h**3 + 2*h - 2. Let o(t) = k(t) + 2*s(t). Factor o(v).
-2*v*(v - 1)*(v + 1)*(v + 2)
Let s(n) be the second derivative of n**6/720 - n**5/80 + n**4/24 + 2*n**3/3 - n. Let v(i) be the second derivative of s(i). Factor v(y).
(y - 2)*(y - 1)/2
Let c = 30 + -24. Let s(a) be the third derivative of 0 - 1/120*a**c + 0*a**5 + 2*a**2 + 0*a + 0*a**3 + 1/24*a**4. Let s(t) = 0. What is t?
-1, 0, 1
Let i = 1/52 - -49/156. Find h, given that 1/3*h**3 + i + h**2 + h = 0.
-1
Let s be 6/2*2/2. Suppose v = s*v. Solve 0*m**2 - 1/2*m + v + 1/2*m**3 = 0.
-1, 0, 1
Let g(p) = 5*p**5 - p**4 - 9*p**3 + 5*p**2. Let f(y) = -14*y**5 + 3*y**4 + 26*y**3 - 15*y**2 - y + 1. Let w(q) = 4*f(q) + 11*g(q). What is n in w(n) = 0?
-2, -1, 1, 2
Let t(i) be the second derivative of 2*i**6/5 + 2*i**5 + 7*i**4/3 - 8*i**3/3 - 8*i**2 + i + 8. Determine u, given that t(u) = 0.
-2, -1, 2/3
Let m(a) be the third derivative of 5*a**2 + 0 - 1/36*a**4 + 0*a + 0*a**3 + 1/180*a**5. Find t such that m(t) = 0.
0, 2
Factor 1/3*v - 2/3*v**2 + 0 + 1/3*v**3.
v*(v - 1)**2/3
Let y be (-744)/1122 + 4/34. Let t = -56/143 - y. Factor 8/13 + t*h**2 + 8/13*h.
2*(h + 2)**2/13
Let h(v) be the second derivative of -v**4/48 - 3*v**3/4 - 81*v**2/8 + 31*v. Factor h(k).
-(k + 9)**2/4
Let i(y) be the third derivative of y**7/735 - y**6/420 - 2*y**5/105 + y**4/21 + 4*y**2. Find l such that i(l) = 0.
-2, 0, 1, 2
Find j, given that 3*j + j**3 + 109*j**4 - 3*j**2 - 4*j**3 - 106*j**4 = 0.
-1, 0, 1
Let r(g) be the third derivative of 7*g**7/120 + 7*g**6/90 + g**5/30 - 3*g**3/2 - 4*g**2. Let w(j) be the first derivative of r(j). Find o, given that w(o) = 0.
-2/7, 0
Suppose 147/2*o**2 + 45*o + 9*o**3 - 12 - 15/2*o**4 = 0. Calculate o.
-2, -1, 1/5, 4
Let g(z) be the second derivative of -z**7/2520 + z**6/360 - z**5/120 + z**4/72 - z**3/2 - z. Let f(d) be the second derivative of g(d). Factor f(a).
-(a - 1)**3/3
Let k(o) be the first derivative of 0*o - 2 + 1/5*o**2 - 4/15*o**3 + 1/10*o**4. Suppose k(z) = 0. Calculate z.
0, 1
Let z(u) be the first derivative of 0*u**4 + 0*u - 1/240*u**5 + 0*u**2 - 1/720*u**6 - 1/3*u**3 - 1. Let h(t) be the third derivative of z(t). Factor h(r).
-r*(r + 1)/2
Let k(b) = -4*b**2 + b - 1. Let t be k(1). Let o = t + 6. Factor -1 + 1/2*r**o - 1/2*r.
(r - 2)*(r + 1)/2
Let t(s) be the second derivative of -16*s**7/21 + 8*s**6/15 - s**5/10 - 15*s. Factor t(g).
-2*g**3*(4*g - 1)**2
Let s(o) be the first derivative of o**3 - 3*o**2/2 - 7. Factor s(i).
3*i*(i - 1)
Let i be -3*(-4)/(-3)*1. Let b be (-2)/(-4)*i/(-4). Factor -b*s**2 + 1/2*s + 0.
-s*(s - 1)/2
Let a(u) be the first derivative of u**7/2100 + u**6/225 + u**5/75 - 7*u**3/3 + 1. Let m(p) be the third derivative of a(p). Factor m(n).
2*n*(n + 2)**2/5
Let h be (4/27)/(56/252). Factor h*m**3 + 0 + 1/3*m**2 + 0*m + 1/3*m**4.
m**2*(m + 1)**2/3
Let h be (4/(-3))/(20/(-60)). Let 1/4*l**h + 1/2*l**3 - 1/4*l**2 - 1/2*l + 0 = 0. What is l?
-2, -1, 0, 1
Let y = 61 - 59. Let f(l) be the first derivative of 0*l + l**3 - 3/2*l**4 - 3/5*l**5 + 2 + 3*l**y. Factor f(k).
-3*k*(k - 1)*(k + 1)*(k + 2)
Find v such that 8/9*v**3 + 22/9*v + 4/9 + 26/9*v**2 = 0.
-2, -1, -1/4
Let n(o) be the third derivative of -o**7/2520 - o**6/180 - o**5/30 - o**4/24 + 2*o**2. Let j(g) be the second derivative of n(g). Factor j(h).
-(h + 2)**2
Let w be 1/(-7) + (-37)/(-210). Let f(j) be the third derivative of -w*j**5 + 0*j**3 - 1/12*j**4 - 2*j**2 + 0*j + 0. Let f(d) = 0. Calculate d.
-1, 0
Let r(j) be the first derivative of 2/21*j**3 - 2/7*j**2 + 2/7*j + 3. Factor r(a).
2*(a - 1)**2/7
Let w(g) = -g**3 + 3*g**2 + g + 5. Let m be w(4). Let z be 38/24 + m/28. What is b in 2/3*b - z*b**2 + 2/3*b**3 + 0 = 0?
0, 1
Let t = -15458/285 + -260/57. Let i = 59 + t. Determine s, given that 3/5*s - i*s**3 - 2/5 + 0*s**2 = 0.
-2, 1
Let r = -286 - -2578/9. Suppose -2/9*y**2 - r*y - 2/9 = 0. What is y?
-1
What is r in 18/7*r**4 + 30/7*r**3 + 0 + 2/7*r**5 + 0*r - 50/7*r**2 = 0?
-5, 0, 1
Let i(m) = m**2 + 1. Let x(y) = -y**4 - 5*y**2 - 6. Let c(o) = 6*i(o) + x(o). Solve c(j) = 0 for j.
-1, 0, 1
Suppose h - 3 - 17 = 5*d, 2*d + 8 = 0. Let o(c) be the second derivative of 1/90*c**6 + 1/20*c**5 + 2*c + 1/12*c**4 + 0*c**2 + 1/18*c**3 + h. Factor o(g).
g*(g + 1)**3/3
Let a(p) be the first derivative of -2*p**6/15 + 3*p**5/5 - 2*p**4/3 + 3*p - 6. Let n(v) be the first derivative of a(v). Factor n(k).
-4*k**2*(k - 2)*(k - 1)
Suppose 5*p - 13 = 7. Suppose -p*c = h + 5, 9 = -h - 5*c + 2. Factor -1/2*w + 2*w**4 + 0 + 7/2*w**h + w**2.
w*(w + 1)**2*(4*w - 1)/2
Let w = -6 + 10. Factor 4 + 4*q + 5*q - 2*q**2 - 3*q - w*q.
-2*(q - 2)*(q + 1)
Let h be (0/(-1))/(9 + -7). Let g(z) be the first derivative of h*z**2 + 2*z**4 - 2/5*z**5 - 8/3*z**3 + 0*z + 2. Determine y so that g(y) = 0.
0, 2
Let s(w) be the third derivative of 0*w + 3*w**2 + 1/30*w**5 - 2/3*w**3 + 1/12*w**4 + 0. Find k, given that s(k) = 0.
-2, 1
Let j(s) be the first derivative of -2*s**3/7 + 19*s**2/7 - 12*s/7 + 39. Solve j(z) = 0.
1/3, 6
Let m = -46 + 46. Let q(d) be the third derivative of m - 1/60*d**5 - 1/120*d**6 + 0*d**3 + 0*d + d**2 + 1/12*d**4. Suppose q(s) = 0. Calculate s.
-2, 0, 1
Let b = -56 + 62. Let r(d) be the first derivative of -3 + 3/2*d**4 - 6/5*d**5 - 2/3*d**3 + 0*d + 1/3*d**b + 0*d**2. Factor r(k).
2*k**2*(k - 1)**3
Let c be 768/80 + 2/5. Solve 10*l**3 + c*l**3 - 16 - 84*l**2 + 64*l + 16*l**3 = 0.
2/3, 1
Factor 2*h**4 + 4*h**3 + 9*h**2 + 5*h**3 + 16*h + h**4 - 13*h.
3*h*(h + 1)**3
Suppose 2/3 - 13/9*m + 8/9*m**2 - 1/9*m**3 = 0. What is m?
1, 6
Factor -1/4*u**4 - 4*u + 0 + 3*u**2 + 0*u**3.
-u*(u - 2)**2*(u + 4)/4
Let j(d) = -d**3 + 8*d**2 + 9*d + 4. Let k be j(9). Suppose 2*f - k*f = 0. Factor f + 1/4*p**4 - 1/4*p**2 + 1/4*p**5 - 1/4*p**3 + 0*p.
p**2*(p - 1)*(p + 1)**2/4
Let l be (1/(-2))/((-195)/215). Let p = l - 2/39. Let -1/4*h - 1/4*h**3 + 0 - p*h**2 = 0. What is h?
-1, 0
Let r(q) be the first derivative of -q**5/5 - 17*q**4/20 - 16*q**3/15 - 2*q**2/5 + 1. Factor r(s).
-s*(s + 1)*(s + 2)*(5*s + 2)/5
Let j(b) be the first derivative of 4*b**3/3 + 4*b**2 - 5. Factor j(d).
4*d*(d + 2)
Let f(u) be the third derivative of u**6/84 - u**5/70 - 5*u**4/84 + u**3/7 - 6*u**2. Factor f(t).
2*(t - 1)*(t + 1)*(5*t - 3)/7
Let h(w) be the second derivative of -w**7/378 - w**6/270 + w**