 - 2)*(t - 1)**3/2
Suppose -2*g = -6, 4*s + 203 = g + 64. Let l be s/(-8) + 1/(-4). Factor 0*z**2 - z**4 + 2*z**3 + z**2 + 2*z**l.
z**2*(z + 1)**2
Let t(i) = -i**2 - 10*i - 9. Let x be t(-9). Let v(s) be the first derivative of x*s + 1/6*s**2 + 1 + 3/4*s**4 + 2/3*s**3. Factor v(z).
z*(3*z + 1)**2/3
Let z(x) = 6*x**2 + 9*x + 6. Let t(o) = -o**2 - o + 1. Let p(m) = 3*t(m) - z(m). Determine g, given that p(g) = 0.
-1, -1/3
Let n(h) be the first derivative of 5*h**6/36 + h**5/3 - 5*h**4/6 - 20*h**3/9 + 36. Factor n(o).
5*o**2*(o - 2)*(o + 2)**2/6
Suppose 0 - 4/13*r**2 + 2/13*r**3 + 2/13*r = 0. What is r?
0, 1
Let k = 2011/15 + -134. Let m(w) be the second derivative of -1/30*w**4 + k*w**3 + 0 + 4*w + 0*w**2. Factor m(r).
-2*r*(r - 1)/5
Let g(b) be the third derivative of -2*b**7/315 + b**6/90 + b**5/60 - b**4/36 - b**3/18 + 7*b**2. Factor g(p).
-(p - 1)**2*(2*p + 1)**2/3
Determine r so that 16*r**3 - 37*r**3 + 18*r**3 = 0.
0
Let h = -137/3 + 46. Let n = -62/3 + 21. Let -h*y**2 + n + 0*y = 0. Calculate y.
-1, 1
Let p(n) be the third derivative of 0*n**3 + 0*n + 0*n**4 - 1/40*n**6 - n**2 - 1/20*n**5 + 0. Factor p(m).
-3*m**2*(m + 1)
Let g be (-2)/3 - (0 - 6/9). Let o(f) be the second derivative of -1/50*f**5 + g*f**2 + 1/15*f**3 + f + 0 + 0*f**4. Factor o(k).
-2*k*(k - 1)*(k + 1)/5
Let d = 13 + -6. Factor -12*o - 2 - 5 + 9*o**2 - d - 3*o**4 + 6*o**3 + 2.
-3*(o - 2)**2*(o + 1)**2
Find b such that 16/11*b**2 + 4/11*b**3 - 2/11*b**5 + 4/11 + 14/11*b - 4/11*b**4 = 0.
-1, 2
Let n be (-2)/14 + 444/21. Suppose -j = -0*m - 2*m + 3, 5*m - n = -2*j. Factor y**3 + 3*y**2 + 5*y**j + 2*y**4 + y**4.
3*y**2*(y + 1)**2
Let c be 6/2*(-6)/(-9). Let l(y) be the third derivative of 0*y**5 + 0*y**3 + 0*y**6 + 0*y**4 + 0*y + 1/840*y**7 + 0 + 2*y**c + 1/1344*y**8. Solve l(t) = 0.
-1, 0
Let l(d) be the first derivative of -2*d**3/3 - d**2/2 + d - 15. Factor l(h).
-(h + 1)*(2*h - 1)
Let i = 8 - 5. Let u = -2 + i. Let 0*r - r**2 - u + 0*r**2 + 3 - r = 0. Calculate r.
-2, 1
Let r(f) be the third derivative of 1/90*f**5 - 1/540*f**6 + 0 + 0*f + 1/3*f**3 + 2*f**2 - 1/36*f**4. Let k(a) be the first derivative of r(a). Factor k(g).
-2*(g - 1)**2/3
Let x = 5278/3 - 1737. Let q = x + -22. Factor -q - 1/3*n**2 - 2/3*n.
-(n + 1)**2/3
Let j be (37/(-10) - -4)*(-168)/(-18). Let 14/5*s**5 - 4/5 - 28/5*s**3 + 8/5*s**2 + j*s - 4/5*s**4 = 0. Calculate s.
-1, 2/7, 1
Solve 2*s**3 - 2*s + 2*s**2 + 5 - 2*s**4 - 3 - 2 = 0 for s.
-1, 0, 1
Let u be (-2)/(-3)*(-11 - (-406)/35). What is m in 2/5*m**2 - 4/5 - u*m = 0?
-1, 2
Solve -3/7*y**2 - 1/7*y**3 + 1/7*y + 3/7 = 0.
-3, -1, 1
Factor -3*x**4 + 4*x**2 - 2*x**4 + 6*x**3 + 7*x**4.
2*x**2*(x + 1)*(x + 2)
Let z(c) be the third derivative of -c**7/840 - c**6/240 - c**5/240 - 11*c**2. Factor z(q).
-q**2*(q + 1)**2/4
Let b be (-2)/(-180)*(-3)/(-2). Let o(c) be the second derivative of 0*c**4 + 0*c**2 - b*c**5 - c + 1/90*c**6 + 0*c**3 + 0. Let o(f) = 0. What is f?
0, 1
Let k(w) be the first derivative of -4*w**3/3 - 2*w**2 + 8*w - 1. Factor k(t).
-4*(t - 1)*(t + 2)
Let b(y) be the third derivative of 7*y**7/180 - 77*y**6/720 + 4*y**5/45 - y**4/36 - 24*y**2. Factor b(v).
v*(v - 1)*(7*v - 2)**2/6
Let j(o) be the third derivative of o**5/210 - o**4/42 + 2*o**2. Let j(g) = 0. What is g?
0, 2
Let n(z) be the first derivative of 8 - 1/12*z**3 + 0*z + 1/8*z**2. Factor n(h).
-h*(h - 1)/4
Let n(y) be the second derivative of -25*y**7/21 + 11*y**6/3 - 19*y**5/10 - 23*y**4/6 + 8*y**3/3 + 4*y**2 + 16*y. Factor n(m).
-2*(m - 1)**3*(5*m + 2)**2
Let c(y) be the third derivative of y**8/6720 - y**7/2520 - y**6/720 + y**5/120 - y**4/6 + 2*y**2. Let i(b) be the second derivative of c(b). Factor i(z).
(z - 1)**2*(z + 1)
Suppose 10/3*o + 2*o**3 + 4*o**2 + 1 + 1/3*o**4 = 0. Calculate o.
-3, -1
Let b(p) = 8*p**3 + 28*p**2 + 52*p + 32. Let g(h) = -9*h**3 - 29*h**2 - 53*h - 32. Let l(i) = 5*b(i) + 4*g(i). Solve l(q) = 0.
-2
Let m(p) be the first derivative of -p**4/7 - 8*p**3/7 - 24*p**2/7 - 32*p/7 + 29. Factor m(n).
-4*(n + 2)**3/7
Let j(m) be the third derivative of m**8/280 + m**7/105 - m**6/150 - m**5/25 - m**4/60 + m**3/15 + 4*m**2. Let j(q) = 0. Calculate q.
-1, 1/3, 1
Let c(l) be the third derivative of l**6/1020 + 2*l**5/255 + l**4/204 - 2*l**3/17 + 37*l**2. Find s, given that c(s) = 0.
-3, -2, 1
Factor -4/5 - 6/5*u + 2/5*u**3 + 0*u**2.
2*(u - 2)*(u + 1)**2/5
Let q(r) be the third derivative of r**8/896 - r**7/210 + r**6/160 - r**4/192 - r**2. Factor q(n).
n*(n - 1)**3*(3*n + 1)/8
Let o(n) be the third derivative of -n**5/180 + 6*n**2. Factor o(f).
-f**2/3
Let s(h) be the second derivative of -h**8/5880 + h**7/980 - h**6/630 + 2*h**3/3 - 5*h. Let b(a) be the second derivative of s(a). Factor b(c).
-2*c**2*(c - 2)*(c - 1)/7
Let -2*u**5 - 2*u**2 + 6*u**3 - 2*u**2 + 0*u**2 = 0. What is u?
-2, 0, 1
Let o = -1 + 3. Let j(r) be the third derivative of -2*r**o + 0*r**3 + 1/60*r**5 + 0*r**4 + 0*r + 0. Factor j(f).
f**2
Let g be ((-24)/(-10))/(13/65). Solve -2*w - 24 + 27 - g*w - w + 12*w**2 = 0.
1/4, 1
Let p(n) = -n**2 - 2*n + 2. Let a be p(-2). Factor u**4 + 1 + a*u**3 - 4*u**3 + 2*u - 2*u**4.
-(u - 1)*(u + 1)**3
Let d be (-8)/32 - (351/84)/(-3). Factor -d*j + 6/7*j**2 + 2/7.
2*(j - 1)*(3*j - 1)/7
Let q(a) be the second derivative of -a**4/2 - a**3/3 + 5*a**2 - 2*a. Let u(v) = 2*v**2 + v - 3. Let d(m) = -3*q(m) - 10*u(m). Factor d(j).
-2*j*(j + 2)
Let s(d) = -d**2 - 13*d - 9. Let n be s(-12). Let v(j) be the first derivative of 2*j**2 + 0*j + 1 - 10/3*j**n + 2/5*j**5 + 3/2*j**4 - 1/3*j**6. Factor v(h).
-2*h*(h - 1)**3*(h + 2)
Let m = 28 + -12. Let a(b) = 10*b**3 - 16*b**2 - 10*b + 16. Let w(o) = -3*o**3 + 5*o**2 + 3*o - 5. Let t(n) = m*w(n) + 5*a(n). Suppose t(r) = 0. Calculate r.
-1, 0, 1
Factor 466*f**3 + 21*f**2 - f**2 + 10*f**4 - 5*f**5 - 431*f**3.
-5*f**2*(f - 4)*(f + 1)**2
Factor 2 + 0*s - 3/2*s**2 - 1/2*s**3.
-(s - 1)*(s + 2)**2/2
Let v(g) be the third derivative of -g**8/224 + g**7/140 + g**6/80 - g**5/40 + g**2. Factor v(r).
-3*r**2*(r - 1)**2*(r + 1)/2
Let -2/3*w**3 + 2/3*w - 4/3*w**2 + 4/3 = 0. Calculate w.
-2, -1, 1
Let p(v) = -6*v**2 - 8*v. Let y(t) = 7*t**2 + 8*t. Let w(j) = 6*p(j) + 5*y(j). Factor w(o).
-o*(o + 8)
Let l(n) be the second derivative of n**5/20 - n**3/6 - 3*n. Factor l(t).
t*(t - 1)*(t + 1)
Let t(f) be the second derivative of f**6/180 - f**5/15 + 5*f**4/72 + 25*f**3/18 - 20*f - 2. Factor t(z).
z*(z - 5)**2*(z + 2)/6
Let b be 4 + -1 + -4 + 3. Factor 1/3*f + 0 - 1/3*f**b.
-f*(f - 1)/3
Let s(h) = 121*h**2 - 47*h + 1. Let r(d) = -2*d + 1. Let p(g) = -3*g + 1. Let n(b) = -3*p(b) + 4*r(b). Let i(v) = 3*n(v) + s(v). Determine z so that i(z) = 0.
2/11
Let q = -2 - 0. Let n be 1 - (-3)/12*q. Find h such that 1/2*h - h**2 + n*h**3 + 0 = 0.
0, 1
Let q(x) be the third derivative of -x**6/600 - x**5/50 - 3*x**4/40 - 2*x**3/15 + 9*x**2. Determine f so that q(f) = 0.
-4, -1
Let u(y) = 105*y**2 - 33*y + 3. Let b(h) = 211*h**2 - 67*h + 6. Let d(i) = -3*b(i) + 5*u(i). Factor d(k).
-3*(6*k - 1)**2
Let g = -118 + 124. Let z(r) be the first derivative of -g*r**2 + 24*r + 15/4*r**4 - 3 - 3/5*r**5 - 6*r**3. Factor z(n).
-3*(n - 2)**3*(n + 1)
Let x(c) be the second derivative of c**2 + 0*c**5 - 2*c + 0 + 1/15*c**6 - 1/3*c**4 + 0*c**3. Let x(p) = 0. What is p?
-1, 1
Let p(k) be the first derivative of k**4/3 + 4*k**3/3 + 4*k**2/3 + 4. Factor p(z).
4*z*(z + 1)*(z + 2)/3
Suppose 0 = 3*v + n - 10, 3*v + 2*n + 1 - 12 = 0. Suppose -u = -4*u + v. Factor -1/2*k**2 - u - 3/2*k.
-(k + 1)*(k + 2)/2
Factor -21/2*i**2 + 12*i - 3/2*i**3 + 0.
-3*i*(i - 1)*(i + 8)/2
Let x be 34/14 + 9/(-21). Suppose 15*w**2 - 11*w**2 - w**4 - w**4 - x = 0. What is w?
-1, 1
Let b(c) be the second derivative of -c**5/5 + 3*c**4 - 10*c**3 - 50*c**2 + 21*c. Determine f so that b(f) = 0.
-1, 5
Let q = 7 - 3. Let f(k) be the second derivative of 1/2*k**2 + 1/6*k**3 + k + 0 - k**q + 8/15*k**6 + 1/5*k**5. Factor f(w).
(w + 1)*(2*w - 1)**2*(4*w + 1)
Let t(u) be the third derivative of u**8/10080 + u**7/840 - u**5/30 - 2*u**2. Let h(k) be the third derivative of t(k). Solve h(m) = 0 for m.
-3, 0
Let f(z) be the first derivative of -2 - 5/16*z**4 + 1/8*z**2 - 1/4*z**3 + 0*z + 3/20*z**5 + 1/6*z**6. Determine y so that f(y) = 0.
-1, 0, 1/4, 1
Let f be (-99)/990 - (-43)/30. Determine y, given that 10/3*y + 2/3*y**