29*h**2. Factor s(w).
-(4*w - 1)*(7*w - 2)**3/2
Suppose 5*s - 4 = 3*s. Let o(r) be the second derivative of 0*r**s - 1/3*r**3 - 1/12*r**4 - 3*r + 0. Determine z, given that o(z) = 0.
-2, 0
Suppose 3*b + 4*w + 9 - 1 = 0, -3*b + 3*w = -6. Let d(v) be the second derivative of 0 + b*v**3 - v - 1/6*v**4 + v**2. What is p in d(p) = 0?
-1, 1
What is z in -427 - 3*z**3 + 1095 - 165*z - 443 + 39*z**2 = 0?
3, 5
Let m = 18/113 + -3557/339. Let w = -10 - m. Factor 0*h - w*h**3 + 0 + 1/3*h**2.
-h**2*(h - 1)/3
Let c be -12 + 14 - (1 + 1). Let a(n) be the third derivative of -n**2 + 0*n**4 + 0 + 1/180*n**5 - 1/360*n**6 + c*n + 0*n**3. Determine i, given that a(i) = 0.
0, 1
Let r be (-476)/(-126) - (-4)/18. Let h be (2/16)/(2/4). Factor 1/4*q**r + 1/4 - 1/2*q**2 - 1/4*q + 1/2*q**3 - h*q**5.
-(q - 1)**3*(q + 1)**2/4
Let i(f) be the first derivative of 2*f**3/3 - 8*f - 5. Factor i(g).
2*(g - 2)*(g + 2)
Factor 1/2 - 1/2*v**2 + 0*v.
-(v - 1)*(v + 1)/2
Suppose 1/7*w**2 + 9/7 + 6/7*w = 0. Calculate w.
-3
Let a(y) be the third derivative of y**8/168 - 2*y**7/315 - y**6/30 + 2*y**5/45 + y**4/12 - 2*y**3/9 + 3*y**2 - 7. Let a(q) = 0. What is q?
-1, 2/3, 1
Factor -21/4*n**2 + 3/2*n + 0.
-3*n*(7*n - 2)/4
Let h(q) be the first derivative of 2*q**6/75 - 3*q**5/25 + q**4/5 - 2*q**3/15 - 3*q + 1. Let u(m) be the first derivative of h(m). Suppose u(d) = 0. What is d?
0, 1
Find x, given that -9/5*x**2 - 6/5*x**3 + 0 - 1/5*x**4 + 0*x = 0.
-3, 0
Let y = 69/5 + -413/30. Let r(m) be the third derivative of 1/30*m**5 + 0 + 0*m + 1/3*m**3 - 2/105*m**7 - m**2 - 1/336*m**8 - y*m**6 + 5/24*m**4. Factor r(d).
-(d - 1)*(d + 1)**3*(d + 2)
Let v(f) = -f**2 - f + 1. Let i(m) be the second derivative of 2*m**4/3 + 5*m**3/2 - 6*m**2 + 3*m. Let b(x) = -2*i(x) - 22*v(x). Factor b(r).
2*(r - 1)*(3*r - 1)
Let x(m) be the first derivative of 49*m**3/3 - 28*m**2 + 16*m + 9. Factor x(l).
(7*l - 4)**2
Let s(i) be the second derivative of -3*i - 1/21*i**7 - 2/15*i**6 + 1/3*i**3 + 1/3*i**4 + 0*i**5 + 0 + 0*i**2. Factor s(o).
-2*o*(o - 1)*(o + 1)**3
Let n(g) = -11*g**4 - 18*g**3 - 15*g**2 - 5*g. Let o(i) = 34*i**4 + 54*i**3 + 46*i**2 + 16*i. Let h(k) = 10*n(k) + 3*o(k). Factor h(v).
-2*v*(v + 1)**2*(4*v + 1)
Let z = 13 - 8. Let j(g) be the second derivative of -2/7*g**2 + 4/21*g**4 - 1/14*g**z + 0 - g - 1/21*g**3. Suppose j(r) = 0. What is r?
-2/5, 1
Let o(j) be the third derivative of 1/24*j**4 + 0*j + 0 - 1/210*j**7 - 1/120*j**6 + 1/60*j**5 + 0*j**3 + 3*j**2. Factor o(d).
-d*(d - 1)*(d + 1)**2
Let f(x) be the first derivative of -x**4/22 - 16*x**3/33 - 13*x**2/11 - 12*x/11 + 17. Suppose f(m) = 0. Calculate m.
-6, -1
Let i(s) be the first derivative of -5*s**4/4 + 5*s**3/3 + 5*s**2 + 4. Determine t, given that i(t) = 0.
-1, 0, 2
Let o(u) be the first derivative of -u**3 + 3*u**2 - 3*u + 1. Factor o(g).
-3*(g - 1)**2
Let i(l) = l**2 + 13*l. Let s(k) = 4*k. Let o(g) = 2*i(g) - 7*s(g). Suppose o(a) = 0. Calculate a.
0, 1
Factor 0 + 0*a - 4/7*a**2.
-4*a**2/7
Let i(v) = 5*v**2 - 8*v. Let o(b) = 25*b**2 - 39*b. Let k(j) = 11*i(j) - 2*o(j). Find n, given that k(n) = 0.
0, 2
Suppose m + 5*p + 4 = 3*p, -3*p = 3*m + 15. Let z be (-64)/(-18)*m/(-8). Let -z + 10*i**4 + 8*i - 52/3*i**3 + 2*i**2 = 0. Calculate i.
-2/3, 2/5, 1
Suppose 2*u + u = 3*s - 3, 0 = -5*s + 25. Suppose 3*i = -3*m + 4*i + 3, u*m + i = -3. Suppose -3/4*b**2 + 1/4 - 1/2*b**3 + m*b = 0. What is b?
-1, 1/2
Let r be (-38)/(-133) - 82/(-7). Let k(f) = -f**3 + 13*f**2 - 12*f + 2. Let h be k(r). Factor -2/3 - 1/3*c**h - c.
-(c + 1)*(c + 2)/3
Let b(h) be the second derivative of h**5/30 - h**4/6 + h**3/3 - h**2/3 - 18*h. Suppose b(j) = 0. What is j?
1
Let i = -527 + 3692/7. Determine d, given that i*d - 12/7*d**2 - 9/7*d**3 + 6/7 = 0.
-1, 2/3
Let s(a) be the third derivative of a**7/1575 - a**5/450 + a**2. Let s(b) = 0. What is b?
-1, 0, 1
Let o(h) be the second derivative of 0*h**3 - 1/70*h**6 + 0*h**4 - 3/140*h**5 + 0*h**2 + 2*h + 0. Factor o(x).
-3*x**3*(x + 1)/7
Suppose 5/6 + 5/6*k**2 - 5/3*k = 0. Calculate k.
1
Let q(f) be the second derivative of f**6/75 - f**4/30 + 18*f. Determine g so that q(g) = 0.
-1, 0, 1
Solve 0*o**2 - 2/3*o**5 - 2/3*o + 4/3*o**3 + 0*o**4 + 0 = 0.
-1, 0, 1
Let x(n) be the first derivative of -2*n**2 + 1/96*n**4 - 4 - 1/240*n**5 + 0*n + 1/12*n**3. Let l(h) be the second derivative of x(h). Factor l(g).
-(g - 2)*(g + 1)/4
Let d be (1/(-2))/(3/36). Let f = -3 - d. Solve -u + u**2 + f*u - u = 0 for u.
-1, 0
Let r(z) be the first derivative of 1/2*z**2 + 0*z**4 + 0*z - 1/45*z**5 - 1 + 0*z**3 + 1/36*z**6. Let f(u) be the second derivative of r(u). Solve f(q) = 0.
0, 2/5
Let g(c) be the third derivative of -3*c**2 - 1/108*c**4 + 1/540*c**6 + 1/27*c**3 + 0 - 1/270*c**5 + 0*c. Factor g(d).
2*(d - 1)**2*(d + 1)/9
Suppose 0 = -0*b + b + u - 1, 3*b - 5 = -u. Factor -w**b + 13 + 12 - 25 - w.
-w*(w + 1)
Let r(a) be the first derivative of 10 + 4/5*a**5 + 0*a - a**4 - 1/6*a**6 + 0*a**2 + 0*a**3. Factor r(u).
-u**3*(u - 2)**2
Let y(q) be the third derivative of q**5/30 - 5*q**4/12 - 10*q**2 - q. Factor y(g).
2*g*(g - 5)
Let q(n) = 1 - 2*n**2 + 6*n**3 + 9*n**3 + 0. Let b be q(1). Determine k so that -10*k**3 + b*k**3 + 14*k**3 + 4*k**2 = 0.
-2/9, 0
Let n(l) be the first derivative of 4/7*l - 1/7*l**2 + 2/35*l**5 - 2/7*l**3 + 1/14*l**4 - 4. Suppose n(j) = 0. What is j?
-2, -1, 1
Solve -18/5*u**2 + 3/5*u**3 - 24/5 + 36/5*u = 0.
2
Let a(n) be the first derivative of 0*n - 2/25*n**5 - 1 + 1/2*n**4 - 16/15*n**3 + 4/5*n**2. Factor a(l).
-2*l*(l - 2)**2*(l - 1)/5
Suppose 28/3*q**3 - 8/3*q**2 + 0 + 0*q = 0. What is q?
0, 2/7
Factor -3*m**4 + m - m**5 - 5*m**4 + 8*m**2 - 5*m + 5*m**5.
4*m*(m - 1)**3*(m + 1)
Let d = -20 - -14. Let h be 272/252 + d/27. Determine i, given that -h*i - 4/7*i**2 - 2/7 = 0.
-1, -1/2
Let t(v) be the third derivative of 1/30*v**5 + 1/60*v**6 + 2*v**2 + 0 + 0*v**4 + 0*v + 0*v**3. Factor t(z).
2*z**2*(z + 1)
Suppose 4*r + 8 = -4*y, -4*r = -5*y - 0 - 28. Let i(c) be the first derivative of 1/6*c**3 - r - c**2 + 2*c. Factor i(t).
(t - 2)**2/2
Let y(v) be the second derivative of -v**5/20 - v**4/6 - v**3/6 - 9*v. What is k in y(k) = 0?
-1, 0
Let f = 14 + -14. Let 1/3*p**2 + 0*p - 4/3*p**3 + f = 0. What is p?
0, 1/4
Let d(b) be the first derivative of 1/2*b**4 - b**2 + 2/3*b**3 - 3 - 2*b. Determine g, given that d(g) = 0.
-1, 1
Find u such that 4*u**2 - 2*u**3 - 2*u**2 - 3*u**2 + 3*u**2 = 0.
0, 1
Let h(c) = -14*c**5 + 20*c**4 - 32*c**3 + 12*c**2 + 6*c - 8. Let r(w) = -w**5 - w**3 + w - 1. Let f(z) = -h(z) + 8*r(z). Factor f(v).
2*v*(v - 1)**3*(3*v - 1)
Suppose -3*l - 19 = -2*i, -l - 2*l = -3*i + 21. Factor -4*c**2 - 16*c**2 - 4*c - 8*c**3 + i*c**2.
-2*c*(c + 2)*(4*c + 1)
Find c, given that -5/4*c**3 + 0 + 3/2*c - 7/4*c**2 + 7/4*c**4 - 1/4*c**5 = 0.
-1, 0, 1, 6
Let h(w) be the third derivative of w**7/70 - w**6/40 - w**5/20 + w**4/8 + 3*w**2. Solve h(c) = 0.
-1, 0, 1
Solve 2/21*l**3 + 10/21 - 10/21*l**2 - 2/21*l = 0.
-1, 1, 5
Let r(a) be the first derivative of 0*a**2 - 1/80*a**5 - 2*a - 1/24*a**3 + 1 + 1/24*a**4. Let y(p) be the first derivative of r(p). Factor y(z).
-z*(z - 1)**2/4
Solve 5/2*y**4 - 7/2*y - 2*y**5 + 11/2*y**3 - 7/2*y**2 + 1 = 0 for y.
-1, 1/4, 1, 2
Suppose 0 = -2*r + 3*r. Let p be (4 - (3 - 1)) + r. Find l, given that 4*l + 2*l**p - 2 - 7*l**2 + 3*l**2 = 0.
1
Suppose -5*j + 23 = 3*i, 8 = -4*j + 2*i + 22. Suppose -l + j*l = 0. Factor 1/2*d - 1/4 + l*d**2 + 1/4*d**4 - 1/2*d**3.
(d - 1)**3*(d + 1)/4
Determine g so that -2/9*g**3 - 4/9*g**4 + 0*g**2 - 2/9*g**5 + 0 + 0*g = 0.
-1, 0
Suppose -1/4*i**3 + 0*i**2 + 0*i + 0 = 0. What is i?
0
Let h be (-7 - 0 - -5)*(1 + -2). Let q(f) be the second derivative of 0*f**h - 1/15*f**6 + 0 - 1/42*f**7 + 0*f**4 - 1/20*f**5 - f + 0*f**3. Factor q(o).
-o**3*(o + 1)**2
Let p be (-4076)/(-12)*(-3)/762. Let n = -1/254 - p. Suppose n*r**3 - 4/3 - 2/3*r**2 - 10/3*r = 0. Calculate r.
-1, -1/2, 2
Factor 18/5*z**2 + 58/5*z + 12/5.
2*(z + 3)*(9*z + 2)/5
Let o(v) be the second derivative of v**5/60 - v**4/36 - 18*v. Solve o(h) = 0 for h.
0, 1
Let m(b) = -7*b - 7. Let k(n) = -4*n - 3. Let f(v) = -5*k(v) + 3*m(v). Let a be f(-9). Factor 2*z**3 + 2*z**2 + z**3 - 2*z**3 + z**a.
2*z**2*(z + 1)
Let u(t) be the second derivative of -t**6/10 + 3*t**4/4 + t**3 + t. Find v, given that u(v) = 0.
-1, 