Suppose -19 - 6 = -5*u. Suppose 2*y - 10 = -3*y - 5*c, u*y - 10 = 3*c. Factor 18/5*v**y + 2/5 - 12/5*v - 8/5*v**3.
-2*(v - 1)**2*(4*v - 1)/5
Let s be (-2 - (-3)/(-6))/(-26 + 2). Let t(f) be the third derivative of 0*f + 1/6*f**3 - 1/240*f**6 - 2*f**2 + 0 - s*f**4 + 1/30*f**5. Factor t(q).
-(q - 2)*(q - 1)**2/2
Let f(r) be the third derivative of 1/18*r**3 + 1/630*r**7 + 0*r**4 + 3*r**2 + 0 + 0*r**6 - 1/90*r**5 + 0*r. Factor f(y).
(y - 1)**2*(y + 1)**2/3
Let z(t) be the first derivative of -t**6/120 - t**5/40 + 2*t**3/3 - 5. Let k(d) be the third derivative of z(d). Let k(x) = 0. Calculate x.
-1, 0
Suppose -h + f + 10 = h, 3*f = 0. Let d(u) be the first derivative of u**2 - 4/3*u**3 - 1/3*u**6 + 0*u - 3 + 4/5*u**h + 0*u**4. Determine z so that d(z) = 0.
-1, 0, 1
Let x(f) be the first derivative of -16/7*f - 4 - 12/7*f**2 - 4/7*f**3 - 1/14*f**4. Solve x(g) = 0 for g.
-2
Let h(o) = 5*o**2 - 20*o + 10. Let w(y) = -y. Let f(k) = -h(k) + 5*w(k). Factor f(g).
-5*(g - 2)*(g - 1)
Let k(q) be the first derivative of -q**6/720 + q**4/144 + 3*q**2/2 + 7. Let y(d) be the second derivative of k(d). Solve y(x) = 0.
-1, 0, 1
Let n(h) be the second derivative of 0 + 1/60*h**4 + 2*h + 1/30*h**3 - 1/100*h**5 - 1/10*h**2. Factor n(y).
-(y - 1)**2*(y + 1)/5
Let o = -3 + 7. Suppose -o = -3*f + f. Factor -1/5 + 0*h + 1/5*h**f.
(h - 1)*(h + 1)/5
Let q be -4 - (3 + 44/(-6)). Find l, given that 0 + q*l + 1/3*l**3 + 2/3*l**2 = 0.
-1, 0
Let l(j) be the third derivative of -j**7/1050 + j**5/100 - j**4/60 - 38*j**2. What is c in l(c) = 0?
-2, 0, 1
Factor -2/7*j**2 + 2/7*j + 12/7.
-2*(j - 3)*(j + 2)/7
Let v(m) be the first derivative of -m**7/1680 - m**6/180 - m**5/48 - m**4/24 + m**3/3 - 4. Let r(k) be the third derivative of v(k). Find u such that r(u) = 0.
-2, -1
Let d(s) be the second derivative of -s**4/54 - 4*s**3/27 - 4*s**2/9 + 3*s. Factor d(g).
-2*(g + 2)**2/9
Let d be 3 + ((-650)/42)/5. Let l = 16/21 + d. Factor -l*x**2 + 2/3 - 2/3*x**3 + 2/3*x.
-2*(x - 1)*(x + 1)**2/3
Let h(p) be the third derivative of -p**6/360 - p**5/120 + 2*p**3/3 - 4*p**2. Let i(l) be the first derivative of h(l). What is w in i(w) = 0?
-1, 0
Let u(a) be the third derivative of 2*a**7/105 - a**6/10 + 2*a**4/3 - 10*a**2. Factor u(y).
4*y*(y - 2)**2*(y + 1)
Suppose -10 = -n - 8. Let x(i) be the third derivative of 0 + 0*i**4 + i**n + 1/240*i**5 - 1/24*i**3 + 0*i. Factor x(g).
(g - 1)*(g + 1)/4
Let b = 7 + -3. Let x be (2/b)/((-40)/(-16)). Let -2/5 - x*n + 1/5*n**2 = 0. What is n?
-1, 2
Let p(l) be the first derivative of -l**3/3 - l**2/2 + 5. Let j be p(-1). What is t in 2/3*t**4 - 2/3 + 4/3*t**3 + j*t**2 - 4/3*t = 0?
-1, 1
Let g(b) be the second derivative of 8/3*b**3 - 2/15*b**6 - 9*b - 2*b**4 + 4/5*b**5 - 2*b**2 + 0. Suppose g(x) = 0. What is x?
1
Let i(w) be the first derivative of -w**6/2520 + w**5/210 - w**4/42 + 8*w**3/3 - 2. Let p(x) be the third derivative of i(x). Suppose p(j) = 0. Calculate j.
2
Let p(u) be the first derivative of 109/2*u**3 + 27*u**2 - 3 + 6*u + 189/4*u**4 + 147/10*u**5. Factor p(l).
3*(l + 1)**2*(7*l + 2)**2/2
Let n be 3 + 1 - 6 - (3 - 8). Suppose 1/3*h**4 - 2/3*h**2 + 0*h + 1/3*h**n + 0 = 0. Calculate h.
-2, 0, 1
Let l(g) be the third derivative of -g**8/2016 - g**7/252 - 7*g**6/720 + g**5/360 + g**4/18 + g**3/9 + 10*g**2. Find p such that l(p) = 0.
-2, -1, 1
Let g(r) be the second derivative of r**8/8960 + r**7/1120 + r**6/480 + r**4/6 - 3*r. Let a(y) be the third derivative of g(y). Suppose a(j) = 0. Calculate j.
-2, -1, 0
Let r(v) be the second derivative of -v**7/1155 - v**6/220 - v**5/110 - v**4/132 - 5*v**2/2 + 3*v. Let l(c) be the first derivative of r(c). Factor l(u).
-2*u*(u + 1)**3/11
Let f(b) = -16*b - 5. Let s(t) = -3*t - 1. Let i(d) = -2*f(d) + 11*s(d). Let m(q) = -q**3 - q**2 + 2*q + 2. Let j(o) = 4*i(o) + 2*m(o). Solve j(y) = 0 for y.
-1, 0
Let j be (-3)/9*0 - (2 + -4). Let x(n) be the first derivative of -1/18*n**6 + 2/15*n**5 - 1/12*n**4 + 0*n**3 + 0*n + 0*n**2 - j. Factor x(i).
-i**3*(i - 1)**2/3
Let r(a) be the second derivative of 0 - 9/20*a**5 + 3/4*a**4 + 0*a**2 + 1/10*a**6 + a - 1/2*a**3. Determine h, given that r(h) = 0.
0, 1
Let t(f) be the third derivative of 1/2*f**3 + 3/8*f**4 - 1/5*f**5 + 0*f + 3*f**2 + 0. Factor t(g).
-3*(g - 1)*(4*g + 1)
Let v = -4 + 3. Let n be 0 + v - (2 - 5). Let n*q + 2 - 2*q**2 - 3*q**3 - 2*q**3 + 3*q**3 = 0. What is q?
-1, 1
Let m = 18 + -15. Solve -2*l**2 + 3*l + 2*l**3 + l - l**3 - m*l**3 = 0 for l.
-2, 0, 1
Let h(x) be the third derivative of x**8/6720 + x**7/2520 - x**6/720 - x**5/120 + x**4/24 - x**2. Let q(y) be the second derivative of h(y). Factor q(j).
(j - 1)*(j + 1)**2
Let u(x) = 4*x**4 - 5*x**4 + x**2 - x**3 + 0*x**2. Let h(f) = -5*f**4 - f**3 - 3*f**3 - f + f**3 + 5*f**2. Let z(n) = -h(n) + 4*u(n). Factor z(o).
o*(o - 1)**2*(o + 1)
Let h = 87/301 + -1/301. Solve -h - 2/7*i**5 + 6/7*i + 6/7*i**4 - 4/7*i**3 - 4/7*i**2 = 0 for i.
-1, 1
Factor 0*c**3 - 2/11*c - 4/11*c**4 + 0 + 4/11*c**2 + 2/11*c**5.
2*c*(c - 1)**3*(c + 1)/11
Let q(v) be the second derivative of -v**5/130 - v**4/13 + 32*v**2/13 - 21*v. Determine w so that q(w) = 0.
-4, 2
Let z = -1 + 4. Let r be 6*((-178)/36 - -5). Factor 0*h + 2*h**2 - 8/3*h**z - r + h**4.
(h - 1)**3*(3*h + 1)/3
Let n = -19 + 28. Let y be 120/n - 4/(-6). Let 18*i**2 - y*i**4 + 12*i**3 + 10*i**3 - 4*i**2 - 18*i**5 - 4*i = 0. What is i?
-1, 0, 2/9, 1
Let c(u) be the second derivative of u**4/90 + 2*u**3/45 - u + 2. Solve c(t) = 0.
-2, 0
Let k(s) be the first derivative of -s**9/360 - s**8/525 + s**7/525 - 7*s**3/3 - 3. Let h(j) be the third derivative of k(j). Find b such that h(b) = 0.
-2/3, 0, 2/7
Let k(m) be the second derivative of 1/20*m**5 + 1/4*m**4 + 0 - 2*m**2 + 0*m**3 + 3*m. Factor k(g).
(g - 1)*(g + 2)**2
Let d(w) be the second derivative of -w**4/15 + 2*w**2/5 + 15*w. Find x such that d(x) = 0.
-1, 1
Let p(a) be the third derivative of a**8/336 + a**7/420 - a**6/60 - a**5/60 + a**4/24 + a**3/12 - 12*a**2. Determine u so that p(u) = 0.
-1, -1/2, 1
Factor 4*a**2 + 2*a**4 - 7*a**2 + a**2.
2*a**2*(a - 1)*(a + 1)
Let l(k) be the third derivative of -k**5/60 - 7*k**4/24 - 2*k**3 - 28*k**2. Factor l(r).
-(r + 3)*(r + 4)
Suppose -27/4 + 0*j + 3/4*j**2 = 0. What is j?
-3, 3
Suppose -24/5*f - 27/5 + 3/5*f**2 = 0. Calculate f.
-1, 9
Let m(x) = -x**3 - 10*x**2 - 9*x + 6. Let r be m(-9). Suppose 0 = 2*l + 2*h + r, 1 + 12 = -l - 3*h. Suppose -l*j**2 - 3*j + j - 2*j**2 - 4*j**2 = 0. What is j?
-1/4, 0
Let p(l) be the second derivative of 0 - 1/2*l**2 - 1/4*l**3 - 1/24*l**4 - 4*l. Solve p(q) = 0.
-2, -1
Let d(q) be the first derivative of -1 - 2/15*q**3 + 1/5*q**2 + 0*q. Factor d(h).
-2*h*(h - 1)/5
Let u(p) be the second derivative of 1/40*p**5 + 0 + 1/6*p**3 + 0*p**4 + 0*p**2 - p + 1/240*p**6. Let m(z) be the second derivative of u(z). Factor m(b).
3*b*(b + 2)/2
Suppose 8/5*z**3 - 4/5 + 22/5*z**2 + 2*z = 0. Calculate z.
-2, -1, 1/4
Let r(l) be the second derivative of l**4/3 - 2*l**2 - 5*l. Factor r(d).
4*(d - 1)*(d + 1)
Factor 2/7*r**2 + 0 + 4/7*r.
2*r*(r + 2)/7
Factor 3*u**2 + 3/4*u**3 + 15/4*u + 3/2.
3*(u + 1)**2*(u + 2)/4
Let l(b) = -40*b**2 - 16*b - 1. Let t(k) = 119*k**2 + 47*k + 3. Let i(h) = 11*l(h) + 4*t(h). Find w such that i(w) = 0.
-1/6
Suppose -27 = -6*k + 3*k. Factor 4*s**4 + k*s**3 + 3*s**5 - 10*s**4 - 6*s**3.
3*s**3*(s - 1)**2
Let c(w) be the second derivative of -w**4/3 + 4*w**3/3 + 16*w**2 - 7*w - 3. Factor c(j).
-4*(j - 4)*(j + 2)
Let o(v) be the second derivative of -v**4/48 + v**3/24 + v**2/4 + 4*v. Factor o(c).
-(c - 2)*(c + 1)/4
Let -39/4*r**4 + 0*r + 3*r**3 + 0 + 15/4*r**5 + 3*r**2 = 0. What is r?
-2/5, 0, 1, 2
Let u(z) be the second derivative of -1/3*z**3 + 1/2*z**4 + 0 - 5*z - 3/10*z**5 + 0*z**2 + 1/15*z**6. Factor u(v).
2*v*(v - 1)**3
Let z be 21/35 + 6/(-10). Factor -2/7*k**2 + 2/7 + z*k.
-2*(k - 1)*(k + 1)/7
Let d = -5 - -8. Suppose d - 5 = -n. Factor 4/7 + 2/7*y**4 - n*y - 10/7*y**3 + 18/7*y**2.
2*(y - 2)*(y - 1)**3/7
Factor -t + 4*t + 2*t**2 - 7*t + 2.
2*(t - 1)**2
Let s = -31 - -281/9. Factor 2/9 - 2/9*h**3 + 2/9*h - s*h**2.
-2*(h - 1)*(h + 1)**2/9
Let l(t) be the first derivative of -1/12*t**4 + 0*t - 1 + 1/9*t**3 + 1/3*t**2. Factor l(x).
-x*(x - 2)*(x + 1)/3
Let k(u) = 36*u**2 - 24*u - 4. Let t = -4 + 12. Let z(q) = 1. Let v(l) = t*z