
-3*(f - 1)**2*(f + 1)*(f + 2)
Suppose -9 = -3*i + 2*t + 3*t, -3*t + 3 = i. Factor 12*v**2 + 0*v**2 + v**4 - v - 7*v**2 - 2*v**2 - i*v**3.
v*(v - 1)**3
Let h(y) be the second derivative of y**7/14 - y**6/5 - 3*y**5/10 + 2*y**4 - 7*y**3/2 + 3*y**2 - 9*y. Solve h(v) = 0 for v.
-2, 1
Factor 2/3*b**2 + 0*b + 2/3*b**3 + 0.
2*b**2*(b + 1)/3
Let o(j) be the first derivative of 0*j**3 - 4/5*j**5 - 4*j**2 + 2*j**4 - 4 + 4*j. Factor o(h).
-4*(h - 1)**3*(h + 1)
Suppose -338/9*v**2 - 2/9 - 52/9*v = 0. Calculate v.
-1/13
Suppose 2/3 - 3*l**2 + 5/3*l - 5/3*l**3 + 7/3*l**4 = 0. What is l?
-1, -2/7, 1
Let w(t) be the second derivative of -t**6/195 + 2*t**5/65 - 5*t**4/78 + 2*t**3/39 - 4*t. What is c in w(c) = 0?
0, 1, 2
Suppose 3*v - 5*p = 34, -v - 2 + 0 = p. Suppose -3*d = -v*j - j + 8, -j = -3*d - 2. Determine w, given that -1/2 - 1/2*w**j - w = 0.
-1
Let g(d) = -d**2 + 15*d + 2. Let v be g(15). Factor 2/11*l**v - 6/11*l + 4/11.
2*(l - 2)*(l - 1)/11
Let p(h) be the third derivative of -h**7/540 - 4*h**6/405 - 11*h**5/540 - h**4/54 + h**3/3 - 6*h**2. Let t(l) be the first derivative of p(l). Factor t(r).
-2*(r + 1)**2*(7*r + 2)/9
Factor 15/4 + 2*a + 1/4*a**2.
(a + 3)*(a + 5)/4
Let x be 5/2*(-16)/(-20). Let g(i) be the second derivative of 2*i**x - i**3 + 1/6*i**4 + 0 - 4*i. Factor g(r).
2*(r - 2)*(r - 1)
Let c(x) be the first derivative of -7 + 1/10*x**2 - 2/5*x + 1/15*x**3. Factor c(r).
(r - 1)*(r + 2)/5
Let m(u) = 3*u - 3. Let d(f) = f**3 - f**2 - 8*f + 8. Let j(i) = 3*d(i) + 8*m(i). Factor j(z).
3*z**2*(z - 1)
Let o = -2 - -4. Suppose -2 = 5*j - 17. Factor 2*v + v**2 + o*v - j*v.
v*(v + 1)
Let s(p) be the third derivative of -p**7/560 - p**6/240 + p**5/40 - p**3/6 + 4*p**2. Let i(q) be the first derivative of s(q). Factor i(c).
-3*c*(c - 1)*(c + 2)/2
Let q(r) be the third derivative of r**6/2 + 7*r**5/20 - 11*r**4/8 + r**3 + 20*r**2. Factor q(k).
3*(k + 1)*(4*k - 1)*(5*k - 2)
Let r(m) = 4*m**3 - 6*m - 5. Let v(w) = 3*w**3 + w**2 - 6*w - 4. Let g(t) = -4*r(t) + 5*v(t). Factor g(q).
-q*(q - 3)*(q - 2)
Let d(f) be the third derivative of -f**9/60480 + f**8/20160 + f**7/5040 - f**6/720 + f**5/10 + 4*f**2. Let v(c) be the third derivative of d(c). Factor v(z).
-(z - 1)**2*(z + 1)
Suppose -q**4 - 12*q**2 - 11*q**3 - 11*q**4 + 10*q**2 = 0. What is q?
-2/3, -1/4, 0
Let n(c) = -c**3 - 44*c**2 - 45*c - 84. Let p be n(-43). Let 6/11*j - 6/11*j**p + 2/11*j**3 - 2/11 = 0. What is j?
1
Let c(q) be the second derivative of 1/36*q**4 + 0 + 2*q + 1/120*q**5 + 1/36*q**3 + 0*q**2. Suppose c(v) = 0. Calculate v.
-1, 0
Let r(k) be the second derivative of -k**2 - 1/10*k**5 + 2*k + 0 + 1/3*k**3 + 1/6*k**4. Solve r(s) = 0.
-1, 1
Let f(n) be the third derivative of 0 - 1/60*n**4 - 4*n**2 + 1/300*n**6 - 1/15*n**3 + 1/150*n**5 + 0*n. Factor f(o).
2*(o - 1)*(o + 1)**2/5
Let k be ((-20)/(-350))/((-10)/(-25)). Factor k*l**3 + 1/7 + 3/7*l**2 + 3/7*l.
(l + 1)**3/7
Let i = -65327/47 - -1390. Let w = i + 73/329. Factor -2/7*b**2 + 4/7*b - w.
-2*(b - 1)**2/7
Solve -12/17*s + 2/17*s**2 + 18/17 = 0 for s.
3
Suppose -2*y = -3*l + 3, 2*y - 18 = -4*l - 0*l. Suppose -3/2*w**4 - 3*w**l + 0*w**2 + 0 + 0*w = 0. Calculate w.
-2, 0
Let s(i) be the second derivative of -3*i**2 + 0 + 4*i - 1/2*i**3 + 1/4*i**4. Let s(t) = 0. What is t?
-1, 2
Suppose q = 2*q - 4, 0 = -2*i + 3*q - 12. Find w, given that 1/4*w**4 + 1/4*w**5 + 0 + 0*w**2 + i*w + 0*w**3 = 0.
-1, 0
Solve -v + v**3 + 9*v**4 - v**5 - 5*v**4 - 7*v**3 + 4*v**2 = 0 for v.
0, 1
Factor -9/2*y**3 + 0 + 9/2*y**2 - 3/2*y + 3/2*y**4.
3*y*(y - 1)**3/2
Let j = -815 - -57053/70. Let x(n) be the third derivative of j*n**5 - 2/21*n**3 + 2*n**2 + 0 + 1/147*n**7 + 0*n + 13/420*n**6 - 1/84*n**4. Factor x(a).
2*(a + 1)**3*(5*a - 2)/7
Let j(a) be the second derivative of -a**7/63 + a**6/45 + a**5/30 - a**4/18 + 9*a. Let j(t) = 0. What is t?
-1, 0, 1
Let a(b) = -8*b**4 - b**3 - 5*b**2 + 6*b + 3. Let d(u) = 6*u - 4*u**2 - 7*u**3 + 3 + 5*u**3 - 7*u**4 + 0*u. Let g(m) = 4*a(m) - 5*d(m). Factor g(h).
3*(h - 1)*(h + 1)**3
Let y(l) be the third derivative of -l**8/224 + 7*l**6/80 - l**5/20 - 3*l**4/4 + 2*l**3 + 3*l**2. What is u in y(u) = 0?
-2, 1, 2
Let u(j) be the second derivative of j**7/14 - j**6/20 - 3*j**5/20 + j**4/8 - 20*j. Solve u(h) = 0 for h.
-1, 0, 1/2, 1
Suppose -25 = 5*a - 5*b, -3*a - b + 5 = -0*a. Suppose -2*z + 5*z - n - 6 = a, 0 = -4*z - n + 15. Factor -h**2 + h + 5*h**2 - h**z - 2 - 2*h**2.
-(h - 2)*(h - 1)*(h + 1)
Let h = -1 + 4. Factor -4*l + 3*l**4 - l - h*l**2 + 5*l - 3*l**3 + 3*l.
3*l*(l - 1)**2*(l + 1)
Let o = 9 + -7. Factor 3*u**o + u**4 + 0*u**4 + 0*u + 3*u**3 + u.
u*(u + 1)**3
Let a(u) be the first derivative of -5/3*u**4 - 8/3*u**3 - 8/9*u**2 + 1 - 14/45*u**5 + 0*u. Factor a(g).
-2*g*(g + 2)**2*(7*g + 2)/9
Let -78*u**4 + 3 + 42*u**2 + 6*u**3 + 33*u**4 - 27*u**5 + 21*u + 0*u**3 = 0. What is u?
-1, -1/3, 1
Let l(z) be the third derivative of -z**7/210 + z**5/20 - z**4/12 + 8*z**2. Factor l(c).
-c*(c - 1)**2*(c + 2)
Let n(d) be the second derivative of d**8/2688 + d**7/1260 - d**6/1440 - d**4/6 - 2*d. Let u(y) be the third derivative of n(y). Factor u(z).
z*(z + 1)*(5*z - 1)/2
Let l(x) be the first derivative of 32*x**5/7 + 68*x**4/7 + 46*x**3/7 + 2*x**2 + 2*x/7 - 18. Find o such that l(o) = 0.
-1, -1/4, -1/5
Factor 0 + 0*x**2 - 2/5*x**3 + 2/5*x**4 + 0*x.
2*x**3*(x - 1)/5
Let v(d) be the third derivative of 0 - 2/45*d**5 + 0*d + 1/180*d**6 + 1/9*d**4 - 2*d**2 + 0*d**3. Suppose v(s) = 0. What is s?
0, 2
Let z(g) be the second derivative of -3*g**5/80 - 9*g**4/8 - 12*g**3 - 48*g**2 + 49*g. Determine x, given that z(x) = 0.
-8, -2
Let 128*u**3 - 125*u**3 - u**2 - u**5 + 3*u**2 = 0. Calculate u.
-1, 0, 2
Let z = -127/171 + 71177/95760. Let d(l) be the third derivative of 0*l**3 - 1/120*l**4 + 0*l**7 + 0*l - z*l**8 + 0 + 0*l**5 + 2*l**2 + 1/300*l**6. Factor d(q).
-q*(q - 1)**2*(q + 1)**2/5
Suppose -2 = -d + 1. Factor 4*f**2 - 5*f**2 + 0*f**2 + d*f.
-f*(f - 3)
Let a(p) be the first derivative of -3/16*p**4 + 1 - 3/4*p + 1/4*p**3 + 3/8*p**2. Factor a(g).
-3*(g - 1)**2*(g + 1)/4
Let y(t) be the third derivative of -t**8/840 + t**7/525 + t**6/150 + t**2. What is j in y(j) = 0?
-1, 0, 2
Let f be (-2)/9 - (-14)/(-18). Let k(w) = 3*w**2 + w + 1. Let d be k(f). Factor -9*h + 2 - 26*h**4 + 14*h**2 + 7*h**5 - 2*h + 10*h**4 + 4*h**d.
(h - 1)**3*(h + 1)*(7*h - 2)
Suppose n = -2*r + 5, r + 0 = 1. Find x such that 2*x**3 + 10*x - 2*x**2 + 3*x**3 - 5 - 1 - 7*x**n = 0.
-3, 1
Factor -4/9*p**2 + 2/9*p**4 + 2/9 + 0*p**3 + 0*p.
2*(p - 1)**2*(p + 1)**2/9
Let n(o) be the third derivative of o**8/26880 + o**7/20160 - o**6/1440 - o**5/30 + 2*o**2. Let q(u) be the third derivative of n(u). Factor q(y).
(y + 1)*(3*y - 2)/4
Determine u so that -1/3*u**5 + 1/3*u + 0 + 0*u**3 - 2/3*u**4 + 2/3*u**2 = 0.
-1, 0, 1
Let y(b) be the first derivative of -5*b**6/51 + 134*b**5/85 - 133*b**4/17 + 184*b**3/17 - 72*b**2/17 + 28. Find z such that y(z) = 0.
0, 2/5, 1, 6
Suppose x = -4 - 1. Let h = -2 - x. Find q, given that 1/4*q**h - 1/4*q - 1/4 + 1/4*q**2 = 0.
-1, 1
Let b be 1/4 - (-85)/140. Let c be (-4)/((3 - -1)/(-4)). Solve 6/7*s**3 + 0*s - 2/7*s**2 + 0 - b*s**c + 2/7*s**5 = 0.
0, 1
Let t(p) = -p**2 - p**2 - 1 + 0 + p**2 + p. Let m(g) = 3*g**3 + 2*g**2 - 5*g + 2. Let r(j) = -m(j) - 2*t(j). Factor r(a).
-3*a*(a - 1)*(a + 1)
Find w such that 4/3 + 2/3*w**2 - 2*w = 0.
1, 2
Factor 16/3*r**2 - 7/3*r**3 + 2/3 - 11/3*r.
-(r - 1)**2*(7*r - 2)/3
Let v(h) be the second derivative of h**5/50 + h**4/15 - 5*h. Find a such that v(a) = 0.
-2, 0
Suppose -4*p - s = -7, p - 2*s = 4 - 0. Let g(y) be the first derivative of -1 + 2/3*y**3 + 2*y - p*y**2. What is k in g(k) = 0?
1
Suppose 5*d - 9 = 2*d. Let z(s) be the second derivative of 0*s**2 + 4/15*s**d + 0 - 2*s + 1/50*s**5 - 2/15*s**4. Determine g so that z(g) = 0.
0, 2
Let u(g) = 2*g**3 - 2*g**2 - g. Let k(q) = -q**3 + 2*q**2 + q. Let p(y) = 3*k(y) + 2*u(y). Factor p(o).
o*(o + 1)**2
Let g be 15/10 + (-6)/(-4). Factor 2*y**3 + 3*y - 4*y**3 - y**g.
-3*y*(y - 1)*(y + 1)
Let l(z) be the third derivative of -z**7/350 - 3*z**6/200 - 3*z**5/100 - z**4/40 + 6*z**2. Factor l(a).
-3*a*(a + 1)**3/5
Let p = -3/109 - -239/763. Factor 20/7*g**2 - 2/7*g**5 + p - 10/7*g + 10/7*g**4 - 20/7*g**3.
-2*(g - 1)**5/7
Let k(m) = -15*m**4 + 7*m**3 + 13*m**2 - 5*m. Let